id	sid	tid	token	lemma	pos
cana-5405	1	1	communications	communication	NOUN
cana-5405	1	2	on	on	ADP
cana-5405	1	3	applied	apply	VERB
cana-5405	1	4	nonlinear	nonlinear	ADJ
cana-5405	1	5	analysis	analysis	NOUN
cana-5405	1	6	issn	issn	NOUN
cana-5405	1	7	:	:	PUNCT
cana-5405	1	8	1074	1074	NUM
cana-5405	1	9	-	-	PUNCT
cana-5405	1	10	133x	133x	NUM
cana-5405	1	11	vol	vol	VERB
cana-5405	1	12	32	32	NUM
cana-5405	1	13	no	no	NOUN
cana-5405	1	14	.	.	PUNCT
cana-5405	2	1	10s	10	NOUN
cana-5405	2	2	(	(	PUNCT
cana-5405	2	3	2025	2025	NUM
cana-5405	2	4	)	)	PUNCT
cana-5405	2	5	2146	2146	NUM
cana-5405	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	2	7	common	common	ADJ
cana-5405	2	8	neutrosophic	neutrosophic	ADJ
cana-5405	2	9	metric	metric	ADJ
cana-5405	2	10	space	space	NOUN
cana-5405	2	11	fixed	fix	VERB
cana-5405	2	12	point	point	NOUN
cana-5405	2	13	theorems	theorem	NOUN
cana-5405	2	14	with	with	ADP
cana-5405	2	15	properties	property	NOUN
cana-5405	2	16	m.sornavalli1	m.sornavalli1	PROPN
cana-5405	2	17	,	,	PUNCT
cana-5405	2	18	r.	r.	PROPN
cana-5405	2	19	selvarani2	selvarani2	PROPN
cana-5405	2	20	,	,	PUNCT
cana-5405	2	21	n.	n.	PROPN
cana-5405	2	22	mehala3	mehala3	PROPN
cana-5405	3	1	1assistant	1assistant	NUM
cana-5405	3	2	professor	professor	NOUN
cana-5405	3	3	,	,	PUNCT
cana-5405	3	4	department	department	NOUN
cana-5405	3	5	of	of	ADP
cana-5405	3	6	mathematics	mathematics	PROPN
cana-5405	3	7	,	,	PUNCT
cana-5405	3	8	velammal	velammal	ADJ
cana-5405	3	9	college	college	NOUN
cana-5405	3	10	of	of	ADP
cana-5405	3	11	engineering	engineering	NOUN
cana-5405	3	12	and	and	CCONJ
cana-5405	3	13	technology	technology	NOUN
cana-5405	3	14	,	,	PUNCT
cana-5405	3	15	madurai	madurai	NOUN
cana-5405	3	16	email	email	NOUN
cana-5405	3	17	:	:	PUNCT
cana-5405	3	18	sornavalliv7@gmail.com	sornavalliv7@gmail.com	X
cana-5405	3	19	2associate	2associate	NUM
cana-5405	3	20	professor	professor	NOUN
cana-5405	3	21	,	,	PUNCT
cana-5405	3	22	department	department	NOUN
cana-5405	3	23	of	of	ADP
cana-5405	3	24	mathematics	mathematics	PROPN
cana-5405	3	25	,	,	PUNCT
cana-5405	3	26	k.l.n	k.l.n	PROPN
cana-5405	3	27	.	.	PUNCT
cana-5405	3	28	college	college	NOUN
cana-5405	3	29	of	of	ADP
cana-5405	3	30	engineering	engineering	NOUN
cana-5405	3	31	,	,	PUNCT
cana-5405	3	32	pottapalayam	pottapalayam	NOUN
cana-5405	3	33	,	,	PUNCT
cana-5405	3	34	sivagangai	sivagangai	PROPN
cana-5405	3	35	email	email	NOUN
cana-5405	3	36	:	:	PUNCT
cana-5405	3	37	selvaklnce@gmail.com	selvaklnce@gmail.com	X
cana-5405	4	1	3assistant	3assistant	NUM
cana-5405	4	2	professor	professor	NOUN
cana-5405	4	3	,	,	PUNCT
cana-5405	4	4	department	department	NOUN
cana-5405	4	5	of	of	ADP
cana-5405	4	6	mathematics	mathematic	NOUN
cana-5405	4	7	,	,	PUNCT
cana-5405	4	8	kamaraj	kamaraj	ADJ
cana-5405	4	9	college	college	NOUN
cana-5405	4	10	of	of	ADP
cana-5405	4	11	engineering	engineering	NOUN
cana-5405	4	12	and	and	CCONJ
cana-5405	4	13	technology	technology	NOUN
cana-5405	4	14	,	,	PUNCT
cana-5405	4	15	virudhunagar	virudhunagar	NOUN
cana-5405	4	16	email	email	NOUN
cana-5405	4	17	:	:	PUNCT
cana-5405	4	18	mehalapaviammu@gmail.com	mehalapaviammu@gmail.com	X
cana-5405	4	19	article	article	NOUN
cana-5405	4	20	history	history	NOUN
cana-5405	4	21	:	:	PUNCT
cana-5405	4	22	received	receive	VERB
cana-5405	4	23	:	:	PUNCT
cana-5405	4	24	12	12	NUM
cana-5405	4	25	-	-	SYM
cana-5405	4	26	01	01	NUM
cana-5405	4	27	-	-	PUNCT
cana-5405	4	28	2025	2025	NUM
cana-5405	4	29	revised	revise	VERB
cana-5405	4	30	:	:	PUNCT
cana-5405	4	31	15	15	NUM
cana-5405	4	32	-	-	NUM
cana-5405	4	33	02	02	NUM
cana-5405	4	34	-	-	PUNCT
cana-5405	4	35	2025	2025	NUM
cana-5405	4	36	accepted	accept	VERB
cana-5405	4	37	:	:	PUNCT
cana-5405	4	38	01	01	NUM
cana-5405	4	39	-	-	SYM
cana-5405	4	40	03	03	NUM
cana-5405	4	41	-	-	PUNCT
cana-5405	4	42	2025	2025	NUM
cana-5405	4	43	abstract	abstract	NOUN
cana-5405	4	44	:	:	PUNCT
cana-5405	4	45	the	the	DET
cana-5405	4	46	paper	paper	NOUN
cana-5405	4	47	introduces	introduce	VERB
cana-5405	4	48	the	the	DET
cana-5405	4	49	notion	notion	NOUN
cana-5405	4	50	of	of	ADP
cana-5405	4	51	neutrosophic	neutrosophic	ADJ
cana-5405	4	52	metric	metric	ADJ
cana-5405	4	53	spaces	space	NOUN
cana-5405	4	54	and	and	CCONJ
cana-5405	4	55	derives	derive	VERB
cana-5405	4	56	some	some	DET
cana-5405	4	57	features	feature	NOUN
cana-5405	4	58	from	from	ADP
cana-5405	4	59	it	it	PRON
cana-5405	4	60	.	.	PUNCT
cana-5405	5	1	under	under	ADP
cana-5405	5	2	certain	certain	ADJ
cana-5405	5	3	appropriate	appropriate	ADJ
cana-5405	5	4	circumstances	circumstance	NOUN
cana-5405	5	5	,	,	PUNCT
cana-5405	5	6	two	two	NUM
cana-5405	5	7	new	new	ADJ
cana-5405	5	8	common	common	ADJ
cana-5405	5	9	fixed	fix	VERB
cana-5405	5	10	point	point	NOUN
cana-5405	5	11	theorems	theorem	NOUN
cana-5405	5	12	are	be	AUX
cana-5405	5	13	proved	prove	VERB
cana-5405	5	14	in	in	ADP
cana-5405	5	15	neutrosophic	neutrosophic	ADJ
cana-5405	5	16	metric	metric	ADJ
cana-5405	5	17	spaces	space	NOUN
cana-5405	5	18	.	.	PUNCT
cana-5405	6	1	this	this	DET
cana-5405	6	2	paper	paper	NOUN
cana-5405	6	3	introduces	introduce	VERB
cana-5405	6	4	the	the	DET
cana-5405	6	5	concept	concept	NOUN
cana-5405	6	6	of	of	ADP
cana-5405	6	7	neutrosophic	neutrosophic	ADJ
cana-5405	6	8	metric	metric	ADJ
cana-5405	6	9	spaces	space	NOUN
cana-5405	6	10	,	,	PUNCT
cana-5405	6	11	an	an	DET
cana-5405	6	12	extension	extension	NOUN
cana-5405	6	13	of	of	ADP
cana-5405	6	14	classical	classical	ADJ
cana-5405	6	15	metric	metric	ADJ
cana-5405	6	16	spaces	space	NOUN
cana-5405	6	17	that	that	PRON
cana-5405	6	18	incorporates	incorporate	VERB
cana-5405	6	19	the	the	DET
cana-5405	6	20	idea	idea	NOUN
cana-5405	6	21	of	of	ADP
cana-5405	6	22	neutrosophy	neutrosophy	NOUN
cana-5405	6	23	to	to	PART
cana-5405	6	24	handle	handle	VERB
cana-5405	6	25	uncertainty	uncertainty	NOUN
cana-5405	6	26	and	and	CCONJ
cana-5405	6	27	indeterminacy	indeterminacy	NOUN
cana-5405	6	28	in	in	ADP
cana-5405	6	29	mathematical	mathematical	ADJ
cana-5405	6	30	analysis	analysis	NOUN
cana-5405	6	31	.	.	PUNCT
cana-5405	7	1	neutrosophic	neutrosophic	ADJ
cana-5405	7	2	metric	metric	ADJ
cana-5405	7	3	spaces	space	NOUN
cana-5405	7	4	generalize	generalize	VERB
cana-5405	7	5	traditional	traditional	ADJ
cana-5405	7	6	metrics	metric	NOUN
cana-5405	7	7	by	by	ADP
cana-5405	7	8	allowing	allow	VERB
cana-5405	7	9	for	for	ADP
cana-5405	7	10	a	a	DET
cana-5405	7	11	more	more	ADV
cana-5405	7	12	nuanced	nuanced	ADJ
cana-5405	7	13	representation	representation	NOUN
cana-5405	7	14	of	of	ADP
cana-5405	7	15	distance	distance	NOUN
cana-5405	7	16	and	and	CCONJ
cana-5405	7	17	proximity	proximity	NOUN
cana-5405	7	18	,	,	PUNCT
cana-5405	7	19	accommodating	accommodate	VERB
cana-5405	7	20	the	the	DET
cana-5405	7	21	presence	presence	NOUN
cana-5405	7	22	of	of	ADP
cana-5405	7	23	indeterminate	indeterminate	ADJ
cana-5405	7	24	,	,	PUNCT
cana-5405	7	25	uncertain	uncertain	ADJ
cana-5405	7	26	,	,	PUNCT
cana-5405	7	27	or	or	CCONJ
cana-5405	7	28	contradictory	contradictory	ADJ
cana-5405	7	29	information	information	NOUN
cana-5405	7	30	.	.	PUNCT
cana-5405	8	1	key	key	ADJ
cana-5405	8	2	words	word	NOUN
cana-5405	8	3	:	:	PUNCT
cana-5405	8	4	fixed	fix	VERB
cana-5405	8	5	point	point	NOUN
cana-5405	8	6	,	,	PUNCT
cana-5405	8	7	neutrosophic	neutrosophic	ADJ
cana-5405	8	8	metric	metric	ADJ
cana-5405	8	9	spaces	space	NOUN
cana-5405	8	10	,	,	PUNCT
cana-5405	8	11	complete	complete	ADJ
cana-5405	8	12	symmetric	symmetric	ADJ
cana-5405	8	13	neutrosophic	neutrosophic	ADJ
cana-5405	8	14	metric	metric	ADJ
cana-5405	8	15	space	space	NOUN
cana-5405	8	16	.	.	PUNCT
cana-5405	9	1	1	1	X
cana-5405	9	2	.	.	X
cana-5405	9	3	introduction	introduction	NOUN
cana-5405	9	4	zadeh	zadeh	PROPN
cana-5405	9	5	[	[	X
cana-5405	9	6	25	25	NUM
cana-5405	9	7	]	]	PUNCT
cana-5405	9	8	established	establish	VERB
cana-5405	9	9	fuzzy	fuzzy	ADJ
cana-5405	9	10	sets	set	NOUN
cana-5405	9	11	,	,	PUNCT
cana-5405	9	12	that	that	PRON
cana-5405	9	13	are	be	AUX
cana-5405	9	14	crucial	crucial	ADJ
cana-5405	9	15	for	for	ADP
cana-5405	9	16	topology	topology	NOUN
cana-5405	9	17	and	and	CCONJ
cana-5405	9	18	analysis	analysis	NOUN
cana-5405	9	19	.	.	PUNCT
cana-5405	10	1	numerous	numerous	ADJ
cana-5405	10	2	researchers	researcher	NOUN
cana-5405	10	3	have	have	AUX
cana-5405	10	4	studied	study	VERB
cana-5405	10	5	fuzzy	fuzzy	ADJ
cana-5405	10	6	sets	set	NOUN
cana-5405	10	7	and	and	CCONJ
cana-5405	10	8	their	their	PRON
cana-5405	10	9	applications	application	NOUN
cana-5405	10	10	.	.	PUNCT
cana-5405	11	1	kramosil	kramosil	NOUN
cana-5405	11	2	and	and	CCONJ
cana-5405	11	3	michlek	michlek	ADJ
cana-5405	12	1	[	[	X
cana-5405	12	2	8	8	NUM
cana-5405	12	3	]	]	PUNCT
cana-5405	12	4	introduced	introduce	VERB
cana-5405	12	5	a	a	DET
cana-5405	12	6	novel	novel	ADJ
cana-5405	12	7	concept	concept	NOUN
cana-5405	12	8	for	for	ADP
cana-5405	12	9	fuzzy	fuzzy	ADJ
cana-5405	12	10	metric	metric	ADJ
cana-5405	12	11	spaces	space	NOUN
cana-5405	12	12	.	.	PUNCT
cana-5405	13	1	using	use	VERB
cana-5405	13	2	the	the	DET
cana-5405	13	3	continuous	continuous	ADJ
cana-5405	13	4	t	t	NOUN
cana-5405	13	5	-	-	PUNCT
cana-5405	13	6	norm	norm	NOUN
cana-5405	13	7	,	,	PUNCT
cana-5405	13	8	george	george	NOUN
cana-5405	13	9	and	and	CCONJ
cana-5405	13	10	veeramani	veeramani	NOUN
cana-5405	13	11	[	[	X
cana-5405	13	12	5	5	NUM
cana-5405	13	13	]	]	PUNCT
cana-5405	13	14	updated	update	VERB
cana-5405	13	15	the	the	DET
cana-5405	13	16	concept	concept	NOUN
cana-5405	13	17	of	of	ADP
cana-5405	13	18	fuzzy	fuzzy	ADJ
cana-5405	13	19	metric	metric	ADJ
cana-5405	13	20	space	space	NOUN
cana-5405	13	21	.	.	PUNCT
cana-5405	14	1	this	this	PRON
cana-5405	14	2	leads	lead	VERB
cana-5405	14	3	to	to	ADP
cana-5405	14	4	the	the	DET
cana-5405	14	5	derivation	derivation	NOUN
cana-5405	14	6	of	of	ADP
cana-5405	14	7	numerous	numerous	ADJ
cana-5405	14	8	fixed	fix	VERB
cana-5405	14	9	point	point	NOUN
cana-5405	14	10	theorems	theorem	NOUN
cana-5405	14	11	in	in	ADP
cana-5405	14	12	fuzzy	fuzzy	ADJ
cana-5405	14	13	metric	metric	ADJ
cana-5405	14	14	spaces	space	NOUN
cana-5405	14	15	for	for	ADP
cana-5405	14	16	different	different	ADJ
cana-5405	14	17	types	type	NOUN
cana-5405	14	18	of	of	ADP
cana-5405	14	19	mappings	mapping	NOUN
cana-5405	14	20	.	.	PUNCT
cana-5405	15	1	in	in	ADP
cana-5405	15	2	addition	addition	NOUN
cana-5405	15	3	to	to	ADP
cana-5405	15	4	defining	define	VERB
cana-5405	15	5	d	d	ADJ
cana-5405	15	6	-	-	ADJ
cana-5405	15	7	metric	metric	ADJ
cana-5405	15	8	spaces	space	NOUN
cana-5405	15	9	,	,	PUNCT
cana-5405	15	10	dhage	dhage	NOUN
cana-5405	15	11	[	[	X
cana-5405	15	12	3	3	NUM
cana-5405	15	13	]	]	PUNCT
cana-5405	15	14	established	establish	VERB
cana-5405	15	15	numerous	numerous	ADJ
cana-5405	15	16	additional	additional	ADJ
cana-5405	15	17	fixed	fix	VERB
cana-5405	15	18	point	point	NOUN
cana-5405	15	19	theorems	theorem	NOUN
cana-5405	15	20	in	in	ADP
cana-5405	15	21	d	d	ADJ
cana-5405	15	22	-	-	ADJ
cana-5405	15	23	metric	metric	ADJ
cana-5405	15	24	spaces	space	NOUN
cana-5405	15	25	.	.	PUNCT
cana-5405	16	1	dhage	dhage	NOUN
cana-5405	16	2	theory	theory	NOUN
cana-5405	16	3	has	have	AUX
cana-5405	16	4	advanced	advance	VERB
cana-5405	16	5	significantly	significantly	ADV
cana-5405	16	6	with	with	ADP
cana-5405	16	7	the	the	DET
cana-5405	16	8	recent	recent	ADJ
cana-5405	16	9	definition	definition	NOUN
cana-5405	16	10	of	of	ADP
cana-5405	16	11	g	g	NOUN
cana-5405	16	12	-	-	PUNCT
cana-5405	16	13	metric	metric	ADJ
cana-5405	16	14	space	space	NOUN
cana-5405	16	15	provided	provide	VERB
cana-5405	16	16	by	by	ADP
cana-5405	16	17	mustafa	mustafa	PROPN
cana-5405	16	18	and	and	CCONJ
cana-5405	16	19	sims	sim	NOUN
cana-5405	16	20	[	[	X
cana-5405	16	21	11	11	NUM
cana-5405	16	22	]	]	PUNCT
cana-5405	16	23	.	.	PUNCT
cana-5405	17	1	sun	sun	PROPN
cana-5405	17	2	and	and	CCONJ
cana-5405	17	3	yang	yang	PROPN
cana-5405	17	4	first	first	ADV
cana-5405	17	5	proposed	propose	VERB
cana-5405	17	6	the	the	DET
cana-5405	17	7	idea	idea	NOUN
cana-5405	17	8	of	of	ADP
cana-5405	17	9	a	a	DET
cana-5405	17	10	q	q	ADJ
cana-5405	17	11	-	-	PUNCT
cana-5405	17	12	fuzzy	fuzzy	ADJ
cana-5405	17	13	metric	metric	ADJ
cana-5405	17	14	space	space	NOUN
cana-5405	17	15	in	in	ADP
cana-5405	17	16	[	[	X
cana-5405	17	17	18	18	NUM
cana-5405	17	18	]	]	PUNCT
cana-5405	17	19	.	.	PUNCT
cana-5405	18	1	as	as	ADP
cana-5405	18	2	a	a	DET
cana-5405	18	3	generalization	generalization	NOUN
cana-5405	18	4	of	of	ADP
cana-5405	18	5	the	the	DET
cana-5405	18	6	fuzzy	fuzzy	ADJ
cana-5405	18	7	metric	metric	ADJ
cana-5405	18	8	space	space	NOUN
cana-5405	18	9	,	,	PUNCT
cana-5405	18	10	we	we	PRON
cana-5405	18	11	present	present	VERB
cana-5405	18	12	the	the	DET
cana-5405	18	13	idea	idea	NOUN
cana-5405	18	14	of	of	ADP
cana-5405	18	15	a	a	DET
cana-5405	18	16	generalized	generalized	ADJ
cana-5405	18	17	intuitionstic	intuitionstic	ADJ
cana-5405	18	18	fuzzy	fuzzy	ADJ
cana-5405	18	19	metric	metric	ADJ
cana-5405	18	20	space	space	NOUN
cana-5405	18	21	.	.	PUNCT
cana-5405	19	1	we	we	PRON
cana-5405	19	2	present	present	VERB
cana-5405	19	3	new	new	ADJ
cana-5405	19	4	theorems	theorem	NOUN
cana-5405	19	5	for	for	ADP
cana-5405	19	6	fixed	fix	VERB
cana-5405	19	7	points	point	NOUN
cana-5405	19	8	in	in	ADP
cana-5405	19	9	these	these	DET
cana-5405	19	10	types	type	NOUN
cana-5405	19	11	of	of	ADP
cana-5405	19	12	generalized	generalized	ADJ
cana-5405	19	13	intuitionistic	intuitionistic	ADJ
cana-5405	19	14	fuzzy	fuzzy	ADJ
cana-5405	19	15	metric	metric	ADJ
cana-5405	19	16	spaces	space	NOUN
cana-5405	19	17	.	.	PUNCT
cana-5405	20	1	the	the	DET
cana-5405	20	2	findings	finding	NOUN
cana-5405	20	3	of	of	ADP
cana-5405	20	4	this	this	DET
cana-5405	20	5	study	study	NOUN
cana-5405	20	6	expand	expand	VERB
cana-5405	20	7	and	and	CCONJ
cana-5405	20	8	enhance	enhance	VERB
cana-5405	20	9	a	a	DET
cana-5405	20	10	few	few	ADJ
cana-5405	20	11	previously	previously	ADV
cana-5405	20	12	published	publish	VERB
cana-5405	20	13	findings	finding	NOUN
cana-5405	20	14	.	.	PUNCT
cana-5405	21	1	the	the	DET
cana-5405	21	2	neutrosophic	neutrosophic	ADJ
cana-5405	21	3	metric	metric	ADJ
cana-5405	21	4	spaces	space	NOUN
cana-5405	21	5	were	be	AUX
cana-5405	21	6	defined	define	VERB
cana-5405	21	7	by	by	ADP
cana-5405	21	8	kirisci	kirisci	PROPN
cana-5405	21	9	et	et	PROPN
cana-5405	21	10	al	al	PROPN
cana-5405	21	11	.	.	PUNCT
cana-5405	22	1	[	[	X
cana-5405	22	2	7	7	NUM
cana-5405	22	3	]	]	PUNCT
cana-5405	22	4	.	.	PUNCT
cana-5405	22	5	neutrosophic	neutrosophic	PROPN
cana-5405	22	6	extended	extend	VERB
cana-5405	22	7	metric	metric	ADJ
cana-5405	22	8	-	-	PUNCT
cana-5405	22	9	like	like	ADJ
cana-5405	22	10	spaces	space	NOUN
cana-5405	22	11	were	be	AUX
cana-5405	22	12	introduced	introduce	VERB
cana-5405	22	13	by	by	ADP
cana-5405	22	14	ishtiaq	ishtiaq	PROPN
cana-5405	22	15	et	et	PROPN
cana-5405	22	16	al	al	PROPN
cana-5405	22	17	.	.	PUNCT
cana-5405	23	1	[	[	X
cana-5405	23	2	23	23	NUM
cana-5405	23	3	]	]	PUNCT
cana-5405	23	4	,	,	PUNCT
cana-5405	23	5	who	who	PRON
cana-5405	23	6	also	also	ADV
cana-5405	23	7	proved	prove	VERB
cana-5405	23	8	several	several	ADJ
cana-5405	23	9	fp	fp	NOUN
cana-5405	23	10	theorems	theorem	NOUN
cana-5405	23	11	.	.	PUNCT
cana-5405	24	1	the	the	DET
cana-5405	24	2	mailto:sornavalliv7@gmail.com	mailto:sornavalliv7@gmail.com	NOUN
cana-5405	24	3	mailto:selvaklnce@gmail.com	mailto:selvaklnce@gmail.com	X
cana-5405	25	1	mailto:mehalapaviammu@gmail.com	mailto:mehalapaviammu@gmail.com	X
cana-5405	25	2	communications	communication	NOUN
cana-5405	25	3	on	on	ADP
cana-5405	25	4	applied	apply	VERB
cana-5405	25	5	nonlinear	nonlinear	ADJ
cana-5405	25	6	analysis	analysis	NOUN
cana-5405	25	7	issn	issn	NOUN
cana-5405	25	8	:	:	PUNCT
cana-5405	25	9	1074	1074	NUM
cana-5405	25	10	-	-	PUNCT
cana-5405	25	11	133x	133x	NUM
cana-5405	25	12	vol	vol	VERB
cana-5405	25	13	32	32	NUM
cana-5405	25	14	no	no	NOUN
cana-5405	25	15	.	.	PUNCT
cana-5405	26	1	10s	10	NOUN
cana-5405	26	2	(	(	PUNCT
cana-5405	26	3	2025	2025	NUM
cana-5405	26	4	)	)	PUNCT
cana-5405	26	5	2147	2147	NUM
cana-5405	26	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	26	7	authors	author	NOUN
cana-5405	26	8	used	use	VERB
cana-5405	26	9	the	the	DET
cana-5405	26	10	notions	notion	NOUN
cana-5405	26	11	of	of	ADP
cana-5405	26	12	continuous	continuous	ADJ
cana-5405	26	13	triangular	triangular	NOUN
cana-5405	26	14	norms	norm	NOUN
cana-5405	26	15	,	,	PUNCT
cana-5405	26	16	continuous	continuous	ADJ
cana-5405	26	17	co	co	NOUN
cana-5405	26	18	-	-	NOUN
cana-5405	26	19	norms	norm	NOUN
cana-5405	26	20	,	,	PUNCT
cana-5405	26	21	metric	metric	ADJ
cana-5405	26	22	space	space	NOUN
cana-5405	26	23	,	,	PUNCT
cana-5405	26	24	and	and	CCONJ
cana-5405	26	25	neutrosophic	neutrosophic	ADJ
cana-5405	26	26	sets	set	NOUN
cana-5405	26	27	in	in	ADP
cana-5405	26	28	neutrosophic	neutrosophic	ADJ
cana-5405	26	29	extended	extend	VERB
cana-5405	26	30	metric	metric	ADJ
cana-5405	26	31	-	-	PUNCT
cana-5405	26	32	like	like	ADJ
cana-5405	26	33	spaces	space	NOUN
cana-5405	26	34	.	.	PUNCT
cana-5405	27	1	the	the	DET
cana-5405	27	2	notion	notion	NOUN
cana-5405	27	3	of	of	ADP
cana-5405	27	4	neutrosophic	neutrosophic	ADJ
cana-5405	27	5	doublecontrolled	doublecontrolle	VERB
cana-5405	27	6	metric	metric	ADJ
cana-5405	27	7	spaces	space	NOUN
cana-5405	27	8	was	be	AUX
cana-5405	27	9	introduced	introduce	VERB
cana-5405	27	10	by	by	ADP
cana-5405	27	11	uddin	uddin	PROPN
cana-5405	27	12	et	et	PROPN
cana-5405	27	13	al	al	PROPN
cana-5405	27	14	.	.	PUNCT
cana-5405	28	1	[	[	X
cana-5405	28	2	4	4	X
cana-5405	28	3	]	]	PUNCT
cana-5405	28	4	as	as	SCONJ
cana-5405	28	5	introduced	introduce	VERB
cana-5405	28	6	the	the	DET
cana-5405	28	7	concept	concept	NOUN
cana-5405	28	8	of	of	ADP
cana-5405	28	9	a	a	DET
cana-5405	28	10	generalization	generalization	NOUN
cana-5405	28	11	of	of	ADP
cana-5405	28	12	neutrosophic	neutrosophic	ADJ
cana-5405	28	13	metric	metric	ADJ
cana-5405	28	14	spaces	space	NOUN
cana-5405	28	15	.	.	PUNCT
cana-5405	29	1	see	see	VERB
cana-5405	29	2	[	[	X
cana-5405	29	3	19–22	19–22	NUM
cana-5405	29	4	]	]	PUNCT
cana-5405	29	5	for	for	ADP
cana-5405	29	6	other	other	ADJ
cana-5405	29	7	relevant	relevant	ADJ
cana-5405	29	8	results	result	NOUN
cana-5405	29	9	.	.	PUNCT
cana-5405	30	1	2	2	X
cana-5405	30	2	.	.	X
cana-5405	30	3	preliminaries	preliminary	NOUN
cana-5405	30	4	in	in	ADP
cana-5405	30	5	this	this	DET
cana-5405	30	6	section	section	NOUN
cana-5405	30	7	,	,	PUNCT
cana-5405	30	8	we	we	PRON
cana-5405	30	9	provide	provide	VERB
cana-5405	30	10	some	some	DET
cana-5405	30	11	definitions	definition	NOUN
cana-5405	30	12	that	that	PRON
cana-5405	30	13	are	be	AUX
cana-5405	30	14	helpful	helpful	ADJ
cana-5405	30	15	for	for	SCONJ
cana-5405	30	16	readers	reader	NOUN
cana-5405	30	17	to	to	PART
cana-5405	30	18	understand	understand	VERB
cana-5405	30	19	the	the	DET
cana-5405	30	20	main	main	ADJ
cana-5405	30	21	section	section	NOUN
cana-5405	30	22	.	.	PUNCT
cana-5405	31	1	definition	definition	NOUN
cana-5405	31	2	:	:	PUNCT
cana-5405	31	3	2.1	2.1	NUM
cana-5405	31	4	[	[	SYM
cana-5405	31	5	5	5	NUM
cana-5405	31	6	]	]	PUNCT
cana-5405	31	7	a	a	DET
cana-5405	31	8	binay	binay	PROPN
cana-5405	31	9	operation	operation	NOUN
cana-5405	31	10	*	*	PUNCT
cana-5405	31	11	:	:	PUNCT
cana-5405	31	12	[	[	PUNCT
cana-5405	31	13	0	0	NUM
cana-5405	31	14	,	,	PUNCT
cana-5405	31	15	1	1	NUM
cana-5405	31	16	]	]	SYM
cana-5405	31	17	×	×	NOUN
cana-5405	31	18	[	[	PUNCT
cana-5405	31	19	0	0	NUM
cana-5405	31	20	,	,	PUNCT
cana-5405	31	21	1	1	NUM
cana-5405	31	22	]	]	PUNCT
cana-5405	31	23	→	→	X
cana-5405	31	24	[	[	PUNCT
cana-5405	31	25	0	0	NUM
cana-5405	31	26	,	,	PUNCT
cana-5405	31	27	1	1	NUM
cana-5405	31	28	]	]	PUNCT
cana-5405	31	29	is	be	AUX
cana-5405	31	30	a	a	DET
cana-5405	31	31	continuous	continuous	ADJ
cana-5405	31	32	t	t	NOUN
cana-5405	31	33	-	-	PUNCT
cana-5405	31	34	norm	norm	NOUN
cana-5405	31	35	if	if	SCONJ
cana-5405	31	36	it	it	PRON
cana-5405	31	37	satisfies	satisfy	VERB
cana-5405	31	38	the	the	DET
cana-5405	31	39	following	follow	VERB
cana-5405	31	40	conditions	condition	NOUN
cana-5405	31	41	:	:	PUNCT
cana-5405	31	42	(	(	PUNCT
cana-5405	31	43	i	i	NOUN
cana-5405	31	44	)	)	PUNCT
cana-5405	31	45	*	*	PUNCT
cana-5405	31	46	is	be	AUX
cana-5405	31	47	associative	associative	ADJ
cana-5405	31	48	and	and	CCONJ
cana-5405	31	49	commutative	commutative	ADJ
cana-5405	31	50	,	,	PUNCT
cana-5405	31	51	(	(	PUNCT
cana-5405	31	52	ii	ii	NOUN
cana-5405	31	53	)	)	PUNCT
cana-5405	31	54	*	*	PUNCT
cana-5405	31	55	is	be	AUX
cana-5405	31	56	continuous	continuous	ADJ
cana-5405	31	57	,	,	PUNCT
cana-5405	31	58	(	(	PUNCT
cana-5405	31	59	iii	iii	X
cana-5405	31	60	)	)	PUNCT
cana-5405	31	61	a*1	a*1	PROPN
cana-5405	31	62	=	=	PUNCT
cana-5405	31	63	a	a	PRON
cana-5405	31	64	for	for	ADP
cana-5405	31	65	all	all	DET
cana-5405	31	66	a	a	DET
cana-5405	31	67			NOUN
cana-5405	31	68	[	[	PUNCT
cana-5405	31	69	0	0	NUM
cana-5405	31	70	,	,	PUNCT
cana-5405	31	71	1	1	NUM
cana-5405	31	72	]	]	PUNCT
cana-5405	31	73	,	,	PUNCT
cana-5405	31	74	(	(	PUNCT
cana-5405	31	75	iv	iv	X
cana-5405	31	76	)	)	PUNCT
cana-5405	31	77	a*b	a*b	ADV
cana-5405	31	78	≤	≤	NUM
cana-5405	31	79	c*d	c*d	NOUN
cana-5405	31	80	whenever	whenever	SCONJ
cana-5405	31	81	a	a	DET
cana-5405	31	82	≤	≤	PROPN
cana-5405	31	83	c	c	NOUN
cana-5405	31	84	and	and	CCONJ
cana-5405	31	85	b	b	NOUN
cana-5405	31	86	≤	≤	NUM
cana-5405	31	87	d	d	NOUN
cana-5405	31	88	,	,	PUNCT
cana-5405	31	89	for	for	ADP
cana-5405	31	90	each	each	DET
cana-5405	31	91	a	a	DET
cana-5405	31	92	,	,	PUNCT
cana-5405	31	93	b	b	NOUN
cana-5405	31	94	,	,	PUNCT
cana-5405	31	95	c	c	NOUN
cana-5405	31	96	,	,	PUNCT
cana-5405	31	97	d	d	ADP
cana-5405	31	98			PRON
cana-5405	31	99	[	[	PUNCT
cana-5405	31	100	0	0	NUM
cana-5405	31	101	,	,	PUNCT
cana-5405	31	102	1	1	NUM
cana-5405	31	103	]	]	PUNCT
cana-5405	31	104	.	.	PUNCT
cana-5405	32	1	examples	example	NOUN
cana-5405	32	2	of	of	ADP
cana-5405	32	3	continuous	continuous	ADJ
cana-5405	32	4	t	t	NOUN
cana-5405	32	5	-	-	PUNCT
cana-5405	32	6	norm	norm	NOUN
cana-5405	32	7	are	be	AUX
cana-5405	32	8	a*b	a*b	ADV
cana-5405	32	9	=	=	SYM
cana-5405	32	10	ab	ab	PROPN
cana-5405	32	11	and	and	CCONJ
cana-5405	32	12	a*b	a*b	ADV
cana-5405	32	13	=	=	SYM
cana-5405	32	14	min	min	NOUN
cana-5405	32	15	{	{	PUNCT
cana-5405	32	16	a	a	PRON
cana-5405	32	17	,	,	PUNCT
cana-5405	32	18	b	b	NOUN
cana-5405	32	19	}	}	PUNCT
cana-5405	32	20	.	.	PUNCT
cana-5405	33	1	definition	definition	NOUN
cana-5405	33	2	:	:	PUNCT
cana-5405	33	3	2.2	2.2	NUM
cana-5405	33	4	[	[	X
cana-5405	33	5	5	5	NUM
cana-5405	33	6	]	]	PUNCT
cana-5405	33	7	a	a	DET
cana-5405	33	8	binary	binary	ADJ
cana-5405	33	9	operation	operation	NOUN
cana-5405	33	10			NOUN
cana-5405	33	11	:	:	PUNCT
cana-5405	34	1	[	[	X
cana-5405	34	2	0	0	NUM
cana-5405	34	3	,	,	PUNCT
cana-5405	34	4	1	1	NUM
cana-5405	34	5	]	]	SYM
cana-5405	34	6	×	×	NOUN
cana-5405	35	1	[	[	X
cana-5405	35	2	0	0	NUM
cana-5405	35	3	,	,	PUNCT
cana-5405	35	4	1	1	NUM
cana-5405	35	5	]	]	PUNCT
cana-5405	35	6	→	→	PUNCT
cana-5405	36	1	[	[	X
cana-5405	36	2	0	0	NUM
cana-5405	36	3	,	,	PUNCT
cana-5405	36	4	1	1	NUM
cana-5405	36	5	]	]	PUNCT
cana-5405	36	6	is	be	AUX
cana-5405	36	7	continuous	continuous	ADJ
cana-5405	36	8	t	t	NOUN
cana-5405	36	9	-	-	PUNCT
cana-5405	36	10	conorm	conorm	NOUN
cana-5405	36	11	if	if	SCONJ
cana-5405	36	12			NOUN
cana-5405	36	13	satisfies	satisfy	VERB
cana-5405	36	14	the	the	DET
cana-5405	36	15	following	follow	VERB
cana-5405	36	16	conditions	condition	NOUN
cana-5405	36	17	:	:	PUNCT
cana-5405	36	18	(	(	PUNCT
cana-5405	36	19	i	i	NOUN
cana-5405	36	20	)	)	PUNCT
cana-5405	36	21			PROPN
cana-5405	36	22	is	be	AUX
cana-5405	36	23	commutative	commutative	ADJ
cana-5405	36	24	and	and	CCONJ
cana-5405	36	25	associative	associative	ADJ
cana-5405	36	26	,	,	PUNCT
cana-5405	36	27	(	(	PUNCT
cana-5405	36	28	ii	ii	NOUN
cana-5405	36	29	)	)	PUNCT
cana-5405	36	30			PROPN
cana-5405	36	31	is	be	AUX
cana-5405	36	32	continuous	continuous	ADJ
cana-5405	36	33	,	,	PUNCT
cana-5405	36	34	(	(	PUNCT
cana-5405	36	35	iii	iii	NOUN
cana-5405	36	36	)	)	PUNCT
cana-5405	36	37	a	a	DET
cana-5405	36	38			NOUN
cana-5405	36	39	0	0	NUM
cana-5405	37	1	=	=	NOUN
cana-5405	37	2	a	a	PRON
cana-5405	37	3	for	for	ADP
cana-5405	37	4	all	all	DET
cana-5405	37	5	a	a	DET
cana-5405	37	6			NOUN
cana-5405	38	1	[	[	X
cana-5405	38	2	0	0	NUM
cana-5405	38	3	,	,	PUNCT
cana-5405	38	4	1	1	NUM
cana-5405	38	5	]	]	PUNCT
cana-5405	38	6	,	,	PUNCT
cana-5405	38	7	(	(	PUNCT
cana-5405	38	8	iv	iv	X
cana-5405	38	9	)	)	PUNCT
cana-5405	38	10	a	a	ADV
cana-5405	38	11	b	b	PROPN
cana-5405	38	12	≤	≤	NUM
cana-5405	38	13	c	c	NOUN
cana-5405	38	14			PROPN
cana-5405	38	15	d	d	NOUN
cana-5405	38	16	whenever	whenever	SCONJ
cana-5405	38	17	a	a	DET
cana-5405	38	18	≤	≤	PROPN
cana-5405	38	19	c	c	NOUN
cana-5405	38	20	and	and	CCONJ
cana-5405	38	21	b	b	NOUN
cana-5405	38	22	≤	≤	NUM
cana-5405	38	23	d	d	NOUN
cana-5405	38	24	for	for	ADP
cana-5405	38	25	all	all	DET
cana-5405	38	26	a	a	DET
cana-5405	38	27	,	,	PUNCT
cana-5405	38	28	b	b	NOUN
cana-5405	38	29	,	,	PUNCT
cana-5405	38	30	c	c	NOUN
cana-5405	38	31	,	,	PUNCT
cana-5405	38	32	d	d	ADP
cana-5405	38	33			NOUN
cana-5405	39	1	[	[	X
cana-5405	39	2	0	0	NUM
cana-5405	39	3	,	,	PUNCT
cana-5405	39	4	1	1	NUM
cana-5405	39	5	]	]	PUNCT
cana-5405	39	6	.	.	PUNCT
cana-5405	40	1	definition	definition	NOUN
cana-5405	40	2	:	:	PUNCT
cana-5405	40	3	2.3	2.3	NUM
cana-5405	40	4	[	[	X
cana-5405	40	5	14	14	NUM
cana-5405	40	6	]	]	X
cana-5405	40	7	a	a	DET
cana-5405	40	8	5	5	NUM
cana-5405	40	9	-	-	PUNCT
cana-5405	40	10	tuple	tuple	NOUN
cana-5405	40	11	(	(	PUNCT
cana-5405	40	12	x	x	X
cana-5405	40	13	,	,	PUNCT
cana-5405	40	14	q	q	ADJ
cana-5405	40	15	,	,	PUNCT
cana-5405	40	16	h,*,	h,*,	PROPN
cana-5405	40	17	)	)	PUNCT
cana-5405	40	18	is	be	AUX
cana-5405	40	19	said	say	VERB
cana-5405	40	20	to	to	PART
cana-5405	40	21	be	be	AUX
cana-5405	40	22	an	an	DET
cana-5405	40	23	intuitionstic	intuitionstic	ADJ
cana-5405	40	24	generalized	generalize	VERB
cana-5405	40	25	fuzzy	fuzzy	ADJ
cana-5405	40	26	metric	metric	ADJ
cana-5405	40	27	space	space	NOUN
cana-5405	40	28	(	(	PUNCT
cana-5405	40	29	for	for	ADP
cana-5405	40	30	short	short	ADJ
cana-5405	40	31	igfms	igfms	NOUN
cana-5405	40	32	)	)	PUNCT
cana-5405	40	33	if	if	SCONJ
cana-5405	40	34	x	x	PRON
cana-5405	40	35	is	be	AUX
cana-5405	40	36	an	an	DET
cana-5405	40	37	arbitrary	arbitrary	ADJ
cana-5405	40	38	set	set	NOUN
cana-5405	40	39	,	,	PUNCT
cana-5405	40	40	∗	∗	PROPN
cana-5405	40	41	is	be	AUX
cana-5405	40	42	a	a	DET
cana-5405	40	43	continuous	continuous	ADJ
cana-5405	40	44	t	t	NOUN
cana-5405	40	45	-	-	PUNCT
cana-5405	40	46	norm	norm	NOUN
cana-5405	40	47	,	,	PUNCT
cana-5405	40	48			PROPN
cana-5405	40	49	is	be	AUX
cana-5405	40	50	a	a	DET
cana-5405	40	51	continuous	continuous	ADJ
cana-5405	40	52	tconorm	tconorm	NOUN
cana-5405	40	53	and	and	CCONJ
cana-5405	40	54	q	q	NOUN
cana-5405	40	55	,	,	PUNCT
cana-5405	40	56	h	h	NOUN
cana-5405	40	57	are	be	AUX
cana-5405	40	58	fuzzy	fuzzy	ADJ
cana-5405	40	59	set	set	VERB
cana-5405	40	60	on	on	ADP
cana-5405	40	61	x3→	x3→	PROPN
cana-5405	40	62	(	(	PUNCT
cana-5405	40	63	0	0	NUM
cana-5405	40	64	,	,	PUNCT
cana-5405	40	65	∞	∞	NUM
cana-5405	40	66	)	)	PUNCT
cana-5405	40	67	satisfying	satisfy	VERB
cana-5405	40	68	the	the	DET
cana-5405	40	69	following	follow	VERB
cana-5405	40	70	conditions	condition	NOUN
cana-5405	40	71	.	.	PUNCT
cana-5405	41	1	for	for	ADP
cana-5405	41	2	every	every	DET
cana-5405	41	3	x	x	PROPN
cana-5405	41	4	,	,	PUNCT
cana-5405	41	5	y	y	PROPN
cana-5405	41	6	,	,	PUNCT
cana-5405	41	7	z	z	PROPN
cana-5405	41	8	,	,	PUNCT
cana-5405	41	9	a	a	DET
cana-5405	41	10	∈x	∈x	NOUN
cana-5405	41	11	and	and	CCONJ
cana-5405	41	12	t	t	PROPN
cana-5405	41	13	,	,	PUNCT
cana-5405	41	14	s	s	PART
cana-5405	41	15	>	>	X
cana-5405	41	16	0	0	PUNCT
cana-5405	42	1	(	(	PUNCT
cana-5405	42	2	i	i	NOUN
cana-5405	42	3	)	)	PUNCT
cana-5405	42	4	q	q	PROPN
cana-5405	42	5	(	(	PUNCT
cana-5405	42	6	x	x	NOUN
cana-5405	42	7	,	,	PUNCT
cana-5405	42	8	y	y	PROPN
cana-5405	42	9	,	,	PUNCT
cana-5405	42	10	z	z	PROPN
cana-5405	42	11	,	,	PUNCT
cana-5405	42	12	t	t	PROPN
cana-5405	42	13	)	)	PUNCT
cana-5405	43	1	+	+	NUM
cana-5405	43	2	h	h	NOUN
cana-5405	43	3	(	(	PUNCT
cana-5405	43	4	x	x	NOUN
cana-5405	43	5	,	,	PUNCT
cana-5405	43	6	y	y	PROPN
cana-5405	43	7	,	,	PUNCT
cana-5405	43	8	z	z	PROPN
cana-5405	43	9	,	,	PUNCT
cana-5405	43	10	t	t	PROPN
cana-5405	43	11	)	)	PUNCT
cana-5405	43	12	≤	≤	NOUN
cana-5405	43	13	1	1	NUM
cana-5405	43	14	,	,	PUNCT
cana-5405	43	15	(	(	PUNCT
cana-5405	43	16	ii	ii	NOUN
cana-5405	43	17	)	)	PUNCT
cana-5405	43	18	q	q	NOUN
cana-5405	43	19	(	(	PUNCT
cana-5405	43	20	x	x	NOUN
cana-5405	43	21	,	,	PUNCT
cana-5405	43	22	x	x	X
cana-5405	43	23	,	,	PUNCT
cana-5405	43	24	y	y	PROPN
cana-5405	43	25	,	,	PUNCT
cana-5405	43	26	t	t	PROPN
cana-5405	43	27	)	)	PUNCT
cana-5405	43	28	>	>	X
cana-5405	43	29	0	0	NUM
cana-5405	43	30	,	,	PUNCT
cana-5405	43	31	for	for	ADP
cana-5405	43	32	all	all	DET
cana-5405	43	33	x	x	SYM
cana-5405	43	34	≠	≠	PROPN
cana-5405	43	35	y	y	PROPN
cana-5405	43	36	,	,	PUNCT
cana-5405	43	37	(	(	PUNCT
cana-5405	43	38	iii	iii	NOUN
cana-5405	43	39	)	)	PUNCT
cana-5405	43	40	q	q	NOUN
cana-5405	43	41	(	(	PUNCT
cana-5405	43	42	x	x	NOUN
cana-5405	43	43	,	,	PUNCT
cana-5405	43	44	x	x	PROPN
cana-5405	43	45	,	,	PUNCT
cana-5405	43	46	y	y	PROPN
cana-5405	43	47	,	,	PUNCT
cana-5405	43	48	t	t	NOUN
cana-5405	43	49	)	)	PUNCT
cana-5405	43	50	≤	≤	NUM
cana-5405	43	51	q	q	PUNCT
cana-5405	43	52	(	(	PUNCT
cana-5405	43	53	x	x	X
cana-5405	43	54	,	,	PUNCT
cana-5405	43	55	y	y	PROPN
cana-5405	43	56	,	,	PUNCT
cana-5405	43	57	z	z	PROPN
cana-5405	43	58	,	,	PUNCT
cana-5405	43	59	t	t	PROPN
cana-5405	43	60	)	)	PUNCT
cana-5405	43	61	for	for	ADP
cana-5405	43	62	y	y	PROPN
cana-5405	43	63	≠	≠	PROPN
cana-5405	43	64	z	z	PROPN
cana-5405	43	65	,	,	PUNCT
cana-5405	43	66	(	(	PUNCT
cana-5405	43	67	iv	iv	X
cana-5405	43	68	)	)	PUNCT
cana-5405	43	69	q	q	NOUN
cana-5405	44	1	(	(	PUNCT
cana-5405	44	2	x	x	X
cana-5405	44	3	,	,	PUNCT
cana-5405	44	4	y	y	PROPN
cana-5405	44	5	,	,	PUNCT
cana-5405	44	6	z	z	PROPN
cana-5405	44	7	t	t	PROPN
cana-5405	44	8	)	)	PUNCT
cana-5405	44	9	=	=	SYM
cana-5405	44	10	1	1	NUM
cana-5405	44	11	iff	iff	NOUN
cana-5405	44	12	x	x	X
cana-5405	44	13	=	=	PUNCT
cana-5405	44	14	y	y	PROPN
cana-5405	44	15	=	=	SYM
cana-5405	44	16	z	z	PROPN
cana-5405	44	17	,	,	PUNCT
cana-5405	44	18	(	(	PUNCT
cana-5405	44	19	v	v	NOUN
cana-5405	44	20	)	)	PUNCT
cana-5405	44	21	q	q	NOUN
cana-5405	44	22	(	(	PUNCT
cana-5405	44	23	x	x	X
cana-5405	44	24	,	,	PUNCT
cana-5405	44	25	y	y	PROPN
cana-5405	44	26	,	,	PUNCT
cana-5405	44	27	z	z	PROPN
cana-5405	44	28	,	,	PUNCT
cana-5405	44	29	t	t	PROPN
cana-5405	44	30	)	)	PUNCT
cana-5405	44	31	=	=	PUNCT
cana-5405	44	32	q	q	X
cana-5405	44	33	{	{	PUNCT
cana-5405	44	34	p	p	X
cana-5405	44	35	(	(	PUNCT
cana-5405	44	36	x	x	PROPN
cana-5405	44	37	,	,	PUNCT
cana-5405	44	38	y	y	PROPN
cana-5405	44	39	,	,	PUNCT
cana-5405	44	40	z),t	z),t	NUM
cana-5405	44	41	}	}	PUNCT
cana-5405	44	42	,	,	PUNCT
cana-5405	44	43	where	where	SCONJ
cana-5405	44	44	p	p	NOUN
cana-5405	44	45	is	be	AUX
cana-5405	44	46	a	a	DET
cana-5405	44	47	permutation	permutation	NOUN
cana-5405	44	48	function	function	NOUN
cana-5405	44	49	,	,	PUNCT
cana-5405	44	50	(	(	PUNCT
cana-5405	44	51	vi	vi	NOUN
cana-5405	44	52	)	)	PUNCT
cana-5405	44	53	q	q	NOUN
cana-5405	44	54	(	(	PUNCT
cana-5405	44	55	x	x	X
cana-5405	44	56	,	,	PUNCT
cana-5405	44	57	a	a	PRON
cana-5405	44	58	,	,	PUNCT
cana-5405	44	59	a	a	DET
cana-5405	44	60	t	t	NOUN
cana-5405	44	61	)	)	PUNCT
cana-5405	44	62	∗	∗	NOUN
cana-5405	44	63	q	q	PROPN
cana-5405	45	1	(	(	PUNCT
cana-5405	45	2	a	a	PROPN
cana-5405	45	3	,	,	PUNCT
cana-5405	45	4	y	y	PROPN
cana-5405	45	5	,	,	PUNCT
cana-5405	45	6	z	z	PROPN
cana-5405	45	7	,	,	PUNCT
cana-5405	45	8	s	s	NOUN
cana-5405	45	9	)	)	PUNCT
cana-5405	45	10	≤	≤	NUM
cana-5405	45	11	q	q	PUNCT
cana-5405	45	12	(	(	PUNCT
cana-5405	45	13	x	x	X
cana-5405	45	14	,	,	PUNCT
cana-5405	45	15	y	y	PROPN
cana-5405	45	16	,	,	PUNCT
cana-5405	45	17	z	z	PROPN
cana-5405	45	18	,	,	PUNCT
cana-5405	45	19	t+s	t+s	NUM
cana-5405	45	20	)	)	PUNCT
cana-5405	45	21	,	,	PUNCT
cana-5405	45	22	(	(	PUNCT
cana-5405	45	23	vii	vii	PROPN
cana-5405	45	24	)	)	PUNCT
cana-5405	45	25	q	q	NOUN
cana-5405	46	1	(	(	PUNCT
cana-5405	46	2	x	x	X
cana-5405	46	3	,	,	PUNCT
cana-5405	46	4	y	y	PROPN
cana-5405	46	5	,	,	PUNCT
cana-5405	46	6	z	z	PROPN
cana-5405	46	7	,	,	PUNCT
cana-5405	46	8	.	.	PUNCT
cana-5405	46	9	)	)	PUNCT
cana-5405	46	10	:	:	PUNCT
cana-5405	46	11	(	(	PUNCT
cana-5405	46	12	0,∞	0,∞	NUM
cana-5405	46	13	)	)	PUNCT
cana-5405	46	14	→	→	PUNCT
cana-5405	46	15	[	[	PUNCT
cana-5405	46	16	0,1	0,1	NUM
cana-5405	46	17	]	]	PUNCT
cana-5405	46	18	is	be	AUX
cana-5405	46	19	continuous	continuous	ADJ
cana-5405	46	20	,	,	PUNCT
cana-5405	46	21	(	(	PUNCT
cana-5405	46	22	viii	viii	NOUN
cana-5405	46	23	)	)	PUNCT
cana-5405	46	24	q	q	PUNCT
cana-5405	46	25	is	be	AUX
cana-5405	46	26	non	non	ADJ
cana-5405	46	27	decreasing	decrease	VERB
cana-5405	46	28	function	function	NOUN
cana-5405	46	29	on	on	ADP
cana-5405	46	30	r+	r+	PUNCT
cana-5405	46	31	lim	lim	PROPN
cana-5405	46	32	𝑡→∞	𝑡→∞	NUM
cana-5405	46	33	q	q	PROPN
cana-5405	46	34	(	(	PUNCT
cana-5405	46	35	x	x	NOUN
cana-5405	46	36	,	,	PUNCT
cana-5405	46	37	y	y	PROPN
cana-5405	46	38	,	,	PUNCT
cana-5405	46	39	z	z	PROPN
cana-5405	46	40	,	,	PUNCT
cana-5405	46	41	t	t	NOUN
cana-5405	46	42	)	)	PUNCT
cana-5405	47	1	=	=	SYM
cana-5405	47	2	1	1	NUM
cana-5405	47	3	and	and	CCONJ
cana-5405	47	4	lim	lim	PROPN
cana-5405	47	5	𝑡→0	𝑡→0	ADJ
cana-5405	48	1	q	q	X
cana-5405	48	2	(	(	PUNCT
cana-5405	48	3	x	x	X
cana-5405	48	4	,	,	PUNCT
cana-5405	48	5	y	y	PROPN
cana-5405	48	6	,	,	PUNCT
cana-5405	48	7	z	z	PROPN
cana-5405	48	8	,	,	PUNCT
cana-5405	48	9	t	t	NOUN
cana-5405	48	10	)	)	PUNCT
cana-5405	49	1	=	=	SYM
cana-5405	49	2	0	0	NUM
cana-5405	49	3	,	,	PUNCT
cana-5405	49	4	for	for	ADP
cana-5405	49	5	all	all	DET
cana-5405	49	6	x	x	NOUN
cana-5405	49	7	,	,	PUNCT
cana-5405	49	8	y	y	PROPN
cana-5405	49	9	,	,	PUNCT
cana-5405	49	10	z	z	PROPN
cana-5405	49	11	𝜖	𝜖	PROPN
cana-5405	49	12	x	x	X
cana-5405	49	13	,	,	PUNCT
cana-5405	49	14	t	t	X
cana-5405	49	15	>	>	X
cana-5405	49	16	0	0	NUM
cana-5405	49	17	,	,	PUNCT
cana-5405	49	18	(	(	PUNCT
cana-5405	49	19	ix	ix	PROPN
cana-5405	49	20	)	)	PUNCT
cana-5405	49	21	h	h	NOUN
cana-5405	49	22	(	(	PUNCT
cana-5405	49	23	x	x	X
cana-5405	49	24	,	,	PUNCT
cana-5405	49	25	x	x	PROPN
cana-5405	49	26	,	,	PUNCT
cana-5405	49	27	y	y	PROPN
cana-5405	49	28	,	,	PUNCT
cana-5405	49	29	t	t	PROPN
cana-5405	49	30	)	)	PUNCT
cana-5405	49	31	<	<	X
cana-5405	49	32	1	1	NUM
cana-5405	49	33	,	,	PUNCT
cana-5405	49	34	for	for	ADP
cana-5405	49	35	all	all	DET
cana-5405	49	36	x	x	SYM
cana-5405	49	37	≠	≠	PROPN
cana-5405	49	38	y	y	PROPN
cana-5405	49	39	,	,	PUNCT
cana-5405	49	40	communications	communication	NOUN
cana-5405	49	41	on	on	ADP
cana-5405	49	42	applied	apply	VERB
cana-5405	49	43	nonlinear	nonlinear	ADJ
cana-5405	49	44	analysis	analysis	NOUN
cana-5405	49	45	issn	issn	NOUN
cana-5405	49	46	:	:	PUNCT
cana-5405	49	47	1074	1074	NUM
cana-5405	49	48	-	-	PUNCT
cana-5405	49	49	133x	133x	NUM
cana-5405	49	50	vol	vol	VERB
cana-5405	49	51	32	32	NUM
cana-5405	49	52	no	no	NOUN
cana-5405	49	53	.	.	PUNCT
cana-5405	50	1	10s	10	NOUN
cana-5405	50	2	(	(	PUNCT
cana-5405	50	3	2025	2025	NUM
cana-5405	50	4	)	)	PUNCT
cana-5405	50	5	2148	2148	NUM
cana-5405	50	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	50	7	(	(	PUNCT
cana-5405	50	8	x	x	NOUN
cana-5405	50	9	)	)	PUNCT
cana-5405	50	10	h	h	NOUN
cana-5405	50	11	(	(	PUNCT
cana-5405	50	12	x	x	NOUN
cana-5405	50	13	,	,	PUNCT
cana-5405	50	14	x	x	PROPN
cana-5405	50	15	,	,	PUNCT
cana-5405	50	16	y	y	PROPN
cana-5405	50	17	,	,	PUNCT
cana-5405	50	18	t	t	PROPN
cana-5405	50	19	)	)	PUNCT
cana-5405	50	20	≥	≥	NOUN
cana-5405	50	21	h	h	NOUN
cana-5405	50	22	(	(	PUNCT
cana-5405	50	23	x	x	X
cana-5405	50	24	,	,	PUNCT
cana-5405	50	25	y	y	PROPN
cana-5405	50	26	,	,	PUNCT
cana-5405	50	27	z	z	NOUN
cana-5405	50	28	,	,	PUNCT
cana-5405	50	29	t	t	PROPN
cana-5405	50	30	)	)	PUNCT
cana-5405	50	31	for	for	ADP
cana-5405	50	32	y	y	PROPN
cana-5405	50	33	≠	≠	PROPN
cana-5405	50	34	z	z	PROPN
cana-5405	50	35	,	,	PUNCT
cana-5405	50	36	(	(	PUNCT
cana-5405	50	37	xi	xi	NOUN
cana-5405	50	38	)	)	PUNCT
cana-5405	50	39	h	h	NOUN
cana-5405	50	40	(	(	PUNCT
cana-5405	50	41	x	x	X
cana-5405	50	42	,	,	PUNCT
cana-5405	50	43	y	y	PROPN
cana-5405	50	44	,	,	PUNCT
cana-5405	50	45	z	z	PROPN
cana-5405	50	46	t	t	PROPN
cana-5405	50	47	)	)	PUNCT
cana-5405	50	48	=	=	SYM
cana-5405	50	49	0	0	NUM
cana-5405	51	1	iff	iff	NOUN
cana-5405	51	2	x	x	PROPN
cana-5405	51	3	=	=	PUNCT
cana-5405	51	4	y	y	PROPN
cana-5405	51	5	=	=	SYM
cana-5405	51	6	z	z	PROPN
cana-5405	51	7	,	,	PUNCT
cana-5405	51	8	(	(	PUNCT
cana-5405	51	9	xii	xii	NOUN
cana-5405	51	10	)	)	PUNCT
cana-5405	51	11	h	h	NOUN
cana-5405	51	12	(	(	PUNCT
cana-5405	51	13	x	x	X
cana-5405	51	14	,	,	PUNCT
cana-5405	51	15	y	y	PROPN
cana-5405	51	16	,	,	PUNCT
cana-5405	51	17	z	z	PROPN
cana-5405	51	18	,	,	PUNCT
cana-5405	51	19	t	t	PROPN
cana-5405	51	20	)	)	PUNCT
cana-5405	52	1	=	=	SYM
cana-5405	52	2	h	h	NOUN
cana-5405	52	3	{	{	PUNCT
cana-5405	52	4	p	p	X
cana-5405	52	5	(	(	PUNCT
cana-5405	52	6	x	x	PROPN
cana-5405	52	7	,	,	PUNCT
cana-5405	52	8	y	y	PROPN
cana-5405	52	9	,	,	PUNCT
cana-5405	52	10	z),t	z),t	AUX
cana-5405	52	11	}	}	PUNCT
cana-5405	52	12	where	where	SCONJ
cana-5405	52	13	p	p	NOUN
cana-5405	52	14	is	be	AUX
cana-5405	52	15	a	a	DET
cana-5405	52	16	permutation	permutation	NOUN
cana-5405	52	17	function	function	NOUN
cana-5405	52	18	,	,	PUNCT
cana-5405	52	19	(	(	PUNCT
cana-5405	52	20	xiii	xiii	PROPN
cana-5405	52	21	)	)	PUNCT
cana-5405	52	22	h	h	NOUN
cana-5405	52	23	(	(	PUNCT
cana-5405	52	24	x	x	X
cana-5405	52	25	,	,	PUNCT
cana-5405	52	26	a	a	PRON
cana-5405	52	27	,	,	PUNCT
cana-5405	52	28	a	a	DET
cana-5405	52	29	t	t	NOUN
cana-5405	52	30	)	)	PUNCT
cana-5405	52	31	◊	◊	PROPN
cana-5405	52	32	h	h	NOUN
cana-5405	52	33	(	(	PUNCT
cana-5405	52	34	a	a	PROPN
cana-5405	52	35	,	,	PUNCT
cana-5405	52	36	y	y	PROPN
cana-5405	52	37	,	,	PUNCT
cana-5405	52	38	z	z	PROPN
cana-5405	52	39	,	,	PUNCT
cana-5405	52	40	s	s	NOUN
cana-5405	52	41	)	)	PUNCT
cana-5405	52	42	≥	≥	NOUN
cana-5405	52	43	h	h	NOUN
cana-5405	52	44	(	(	PUNCT
cana-5405	52	45	x	x	X
cana-5405	52	46	,	,	PUNCT
cana-5405	52	47	y	y	PROPN
cana-5405	52	48	,	,	PUNCT
cana-5405	52	49	z	z	PROPN
cana-5405	52	50	,	,	PUNCT
cana-5405	52	51	t	t	PROPN
cana-5405	52	52	+	+	SYM
cana-5405	52	53	s	s	X
cana-5405	52	54	)	)	PUNCT
cana-5405	52	55	,	,	PUNCT
cana-5405	52	56	(	(	PUNCT
cana-5405	52	57	xiv	xiv	PROPN
cana-5405	52	58	)	)	PUNCT
cana-5405	52	59	h	h	NOUN
cana-5405	52	60	(	(	PUNCT
cana-5405	52	61	x	x	X
cana-5405	52	62	,	,	PUNCT
cana-5405	52	63	y	y	PROPN
cana-5405	52	64	,	,	PUNCT
cana-5405	52	65	z	z	PROPN
cana-5405	52	66	,	,	PUNCT
cana-5405	52	67	.	.	PUNCT
cana-5405	52	68	)	)	PUNCT
cana-5405	52	69	:	:	PUNCT
cana-5405	52	70	(	(	PUNCT
cana-5405	52	71	0,∞	0,∞	NUM
cana-5405	52	72	)	)	PUNCT
cana-5405	52	73	→	→	PUNCT
cana-5405	52	74	[	[	PUNCT
cana-5405	52	75	0,1	0,1	NUM
cana-5405	52	76	]	]	PUNCT
cana-5405	52	77	is	be	AUX
cana-5405	52	78	continuous	continuous	ADJ
cana-5405	52	79	,	,	PUNCT
cana-5405	52	80	(	(	PUNCT
cana-5405	52	81	xv	xv	PROPN
cana-5405	52	82	)	)	PUNCT
cana-5405	52	83	h	h	PROPN
cana-5405	52	84	is	be	AUX
cana-5405	52	85	a	a	DET
cana-5405	52	86	nonincreasing	nonincrease	VERB
cana-5405	52	87	function	function	NOUN
cana-5405	52	88	on	on	ADP
cana-5405	52	89	r+lim	r+lim	NOUN
cana-5405	52	90	𝑡→0	𝑡→0	ADJ
cana-5405	52	91	h	h	NOUN
cana-5405	52	92	(	(	PUNCT
cana-5405	52	93	x	x	PROPN
cana-5405	52	94	,	,	PUNCT
cana-5405	52	95	y	y	PROPN
cana-5405	52	96	,	,	PUNCT
cana-5405	52	97	z	z	PROPN
cana-5405	52	98	,	,	PUNCT
cana-5405	52	99	t	t	PROPN
cana-5405	52	100	)	)	PUNCT
cana-5405	52	101	=	=	SYM
cana-5405	52	102	0	0	NUM
cana-5405	53	1	and	and	CCONJ
cana-5405	53	2	lim	lim	PROPN
cana-5405	53	3	𝑡→0	𝑡→0	PROPN
cana-5405	53	4	h	h	PROPN
cana-5405	53	5	(	(	PUNCT
cana-5405	53	6	x	x	PROPN
cana-5405	53	7	,	,	PUNCT
cana-5405	53	8	y	y	PROPN
cana-5405	53	9	,	,	PUNCT
cana-5405	53	10	z	z	PROPN
cana-5405	53	11	,	,	PUNCT
cana-5405	53	12	t	t	NOUN
cana-5405	53	13	)	)	PUNCT
cana-5405	53	14	=	=	SYM
cana-5405	53	15	1	1	NUM
cana-5405	53	16	for	for	ADP
cana-5405	53	17	all	all	DET
cana-5405	53	18	x	x	NOUN
cana-5405	53	19	,	,	PUNCT
cana-5405	53	20	y	y	PROPN
cana-5405	53	21	,	,	PUNCT
cana-5405	53	22	z	z	PROPN
cana-5405	53	23	∈	∈	PROPN
cana-5405	53	24	x	x	PROPN
cana-5405	53	25	,	,	PUNCT
cana-5405	53	26	t	t	PROPN
cana-5405	53	27	>	>	X
cana-5405	53	28	0	0	NUM
cana-5405	53	29	,	,	PUNCT
cana-5405	53	30	in	in	ADP
cana-5405	53	31	this	this	DET
cana-5405	53	32	case	case	NOUN
cana-5405	53	33	,	,	PUNCT
cana-5405	53	34	the	the	DET
cana-5405	53	35	pair	pair	NOUN
cana-5405	53	36	(	(	PUNCT
cana-5405	53	37	q	q	NOUN
cana-5405	53	38	,	,	PUNCT
cana-5405	53	39	h	h	NOUN
cana-5405	53	40	)	)	PUNCT
cana-5405	53	41	is	be	AUX
cana-5405	53	42	called	call	VERB
cana-5405	53	43	an	an	DET
cana-5405	53	44	intuitionistic	intuitionistic	ADJ
cana-5405	53	45	generalized	generalized	ADJ
cana-5405	53	46	fuzzy	fuzzy	ADJ
cana-5405	53	47	metric	metric	NOUN
cana-5405	53	48	on	on	ADP
cana-5405	53	49	x.	x.	NOUN
cana-5405	53	50	definition	definition	NOUN
cana-5405	53	51	:	:	PUNCT
cana-5405	53	52	2.4	2.4	NUM
cana-5405	53	53	[	[	SYM
cana-5405	53	54	20	20	NUM
cana-5405	53	55	]	]	PUNCT
cana-5405	53	56	a	a	DET
cana-5405	53	57	6	6	NUM
cana-5405	53	58	-	-	PUNCT
cana-5405	53	59	tuple	tuple	NOUN
cana-5405	53	60	(	(	PUNCT
cana-5405	53	61	ξ	ξ	PROPN
cana-5405	53	62	,	,	PUNCT
cana-5405	53	63	𝒬	𝒬	PROPN
cana-5405	53	64	,	,	PUNCT
cana-5405	53	65	ℋ	ℋ	PROPN
cana-5405	53	66	,	,	PUNCT
cana-5405	53	67	𝒪	𝒪	PROPN
cana-5405	53	68	*	*	NOUN
cana-5405	53	69	,	,	PUNCT
cana-5405	53	70			PROPN
cana-5405	53	71	)	)	PUNCT
cana-5405	53	72	is	be	AUX
cana-5405	53	73	said	say	VERB
cana-5405	53	74	to	to	PART
cana-5405	53	75	be	be	AUX
cana-5405	53	76	an	an	DET
cana-5405	53	77	neutrosophic	neutrosophic	ADJ
cana-5405	53	78	metric	metric	ADJ
cana-5405	53	79	space	space	NOUN
cana-5405	53	80	if	if	SCONJ
cana-5405	53	81	ξ	ξ	PROPN
cana-5405	53	82	is	be	AUX
cana-5405	53	83	an	an	DET
cana-5405	53	84	arbitrary	arbitrary	ADJ
cana-5405	53	85	set	set	NOUN
cana-5405	53	86	,	,	PUNCT
cana-5405	53	87	*	*	PUNCT
cana-5405	53	88	is	be	AUX
cana-5405	53	89	a	a	DET
cana-5405	53	90	continuous	continuous	ADJ
cana-5405	53	91	t	t	NOUN
cana-5405	53	92	-	-	PUNCT
cana-5405	53	93	norm	norm	NOUN
cana-5405	53	94	,	,	PUNCT
cana-5405	53	95	is	be	AUX
cana-5405	53	96	a	a	DET
cana-5405	53	97	continuous	continuous	ADJ
cana-5405	53	98	t	t	NOUN
cana-5405	53	99	-	-	PUNCT
cana-5405	53	100	conorm	conorm	NOUN
cana-5405	53	101	,	,	PUNCT
cana-5405	53	102	and	and	CCONJ
cana-5405	53	103	𝒬	𝒬	PROPN
cana-5405	53	104	,	,	PUNCT
cana-5405	53	105	ℋ	ℋ	PROPN
cana-5405	53	106	,	,	PUNCT
cana-5405	53	107	𝒪	𝒪	PROPN
cana-5405	53	108	are	be	AUX
cana-5405	53	109	neutrosophic	neutrosophic	ADJ
cana-5405	53	110	set	set	VERB
cana-5405	53	111	on	on	ADP
cana-5405	53	112	ξ2	ξ2	PROPN
cana-5405	53	113	x	x	SYM
cana-5405	53	114	(	(	PUNCT
cana-5405	53	115	0	0	NUM
cana-5405	53	116	,	,	PUNCT
cana-5405	53	117	∞	∞	NUM
cana-5405	53	118	)	)	PUNCT
cana-5405	53	119	satisfying	satisfy	VERB
cana-5405	53	120	the	the	DET
cana-5405	53	121	following	following	ADJ
cana-5405	53	122	conditions	condition	NOUN
cana-5405	53	123	:	:	PUNCT
cana-5405	53	124	for	for	ADP
cana-5405	53	125	all	all	PRON
cana-5405	53	126	𝜛	𝜛	PROPN
cana-5405	53	127	,	,	PUNCT
cana-5405	53	128	𝜔	𝜔	PROPN
cana-5405	53	129	,	,	PUNCT
cana-5405	53	130	𝜎	𝜎	NOUN
cana-5405	53	131	∈ξ	∈ξ	NOUN
cana-5405	53	132	,	,	PUNCT
cana-5405	53	133	𝜆	𝜆	NOUN
cana-5405	53	134	,	,	PUNCT
cana-5405	53	135	𝜏	𝜏	NOUN
cana-5405	53	136	>	>	X
cana-5405	53	137	0	0	NUM
cana-5405	53	138	,	,	PUNCT
cana-5405	53	139	(	(	PUNCT
cana-5405	53	140	i	i	NOUN
cana-5405	53	141	)	)	PUNCT
cana-5405	53	142	𝒬(𝜛	𝒬(𝜛	X
cana-5405	53	143	,	,	PUNCT
cana-5405	53	144	𝜔	𝜔	SYM
cana-5405	53	145	,	,	PUNCT
cana-5405	53	146	𝜏	𝜏	NOUN
cana-5405	53	147	,	,	PUNCT
cana-5405	53	148	휁	휁	NOUN
cana-5405	53	149	)	)	PUNCT
cana-5405	53	150	+	+	CCONJ
cana-5405	53	151	ℋ	ℋ	PROPN
cana-5405	53	152	(	(	PUNCT
cana-5405	53	153	𝜛	𝜛	PROPN
cana-5405	53	154	,	,	PUNCT
cana-5405	53	155	𝜔	𝜔	ADP
cana-5405	53	156	,	,	PUNCT
cana-5405	53	157	𝜏	𝜏	NOUN
cana-5405	53	158	,	,	PUNCT
cana-5405	53	159	휁	휁	NOUN
cana-5405	53	160	)	)	PUNCT
cana-5405	53	161	+	+	CCONJ
cana-5405	53	162	𝒪	𝒪	PROPN
cana-5405	53	163	(	(	PUNCT
cana-5405	53	164	𝜛	𝜛	PROPN
cana-5405	53	165	,	,	PUNCT
cana-5405	53	166	𝜔	𝜔	ADP
cana-5405	53	167	,	,	PUNCT
cana-5405	53	168	𝜏	𝜏	NOUN
cana-5405	53	169	,	,	PUNCT
cana-5405	53	170	휁	휁	NOUN
cana-5405	53	171	)	)	PUNCT
cana-5405	53	172	≤	≤	NOUN
cana-5405	53	173	3	3	NUM
cana-5405	53	174	;	;	PUNCT
cana-5405	53	175	(	(	PUNCT
cana-5405	53	176	ii	ii	NOUN
cana-5405	53	177	)	)	PUNCT
cana-5405	53	178	𝒬(𝜛	𝒬(𝜛	VERB
cana-5405	53	179	,	,	PUNCT
cana-5405	53	180	𝜛	𝜛	PROPN
cana-5405	53	181	,	,	PUNCT
cana-5405	53	182	𝜔	𝜔	NOUN
cana-5405	53	183	,	,	PUNCT
cana-5405	53	184	휁	휁	NOUN
cana-5405	53	185	)	)	PUNCT
cana-5405	53	186	>	>	X
cana-5405	53	187	0	0	NUM
cana-5405	53	188	;	;	PUNCT
cana-5405	53	189	for	for	ADP
cana-5405	53	190	𝜛	𝜛	PROPN
cana-5405	53	191	≠	≠	PROPN
cana-5405	53	192	𝜔	𝜔	PROPN
cana-5405	53	193	;	;	PUNCT
cana-5405	53	194	(	(	PUNCT
cana-5405	53	195	iii	iii	NOUN
cana-5405	53	196	)	)	PUNCT
cana-5405	53	197	𝒬(𝜛	𝒬(𝜛	NOUN
cana-5405	53	198	,	,	PUNCT
cana-5405	53	199	𝜛𝜔	𝜛𝜔	NOUN
cana-5405	53	200	,	,	PUNCT
cana-5405	53	201	휁	휁	NOUN
cana-5405	53	202	)	)	PUNCT
cana-5405	53	203	≤	≤	NOUN
cana-5405	53	204	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	53	205	,	,	PUNCT
cana-5405	53	206	𝜔	𝜔	ADP
cana-5405	53	207	,	,	PUNCT
cana-5405	53	208	𝜏	𝜏	NOUN
cana-5405	53	209	,	,	PUNCT
cana-5405	53	210	휁	휁	NOUN
cana-5405	53	211	)	)	PUNCT
cana-5405	53	212	,	,	PUNCT
cana-5405	53	213	for	for	ADP
cana-5405	53	214	𝜔	𝜔	DET
cana-5405	53	215	≠	≠	PROPN
cana-5405	53	216	휁	휁	NOUN
cana-5405	53	217	;	;	PUNCT
cana-5405	53	218	(	(	PUNCT
cana-5405	53	219	iv	iv	X
cana-5405	53	220	)	)	PUNCT
cana-5405	53	221	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	53	222	,	,	PUNCT
cana-5405	53	223	𝜔	𝜔	SYM
cana-5405	53	224	,	,	PUNCT
cana-5405	53	225	𝜏	𝜏	NOUN
cana-5405	53	226	,	,	PUNCT
cana-5405	53	227	휁	휁	NOUN
cana-5405	53	228	)	)	PUNCT
cana-5405	53	229	=	=	SYM
cana-5405	53	230	1	1	NUM
cana-5405	53	231	if	if	SCONJ
cana-5405	53	232	and	and	CCONJ
cana-5405	53	233	only	only	ADV
cana-5405	53	234	if	if	SCONJ
cana-5405	53	235	𝜛	𝜛	X
cana-5405	53	236	=	=	PUNCT
cana-5405	53	237	𝜔	𝜔	PROPN
cana-5405	53	238	=	=	SYM
cana-5405	53	239	𝜏	𝜏	NOUN
cana-5405	53	240	;	;	PUNCT
cana-5405	53	241	(	(	PUNCT
cana-5405	53	242	v	v	NOUN
cana-5405	53	243	)	)	PUNCT
cana-5405	53	244	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	53	245	,	,	PUNCT
cana-5405	53	246	𝜔	𝜔	NOUN
cana-5405	53	247	,	,	PUNCT
cana-5405	53	248	𝜏	𝜏	NOUN
cana-5405	53	249	,	,	PUNCT
cana-5405	53	250	휁	휁	NOUN
cana-5405	53	251	)	)	PUNCT
cana-5405	53	252	*	*	PUNCT
cana-5405	54	1	𝒬(p	𝒬(p	PUNCT
cana-5405	54	2	(	(	PUNCT
cana-5405	54	3	𝜛	𝜛	INTJ
cana-5405	54	4	,	,	PUNCT
cana-5405	54	5	𝜔	𝜔	NOUN
cana-5405	54	6	,	,	PUNCT
cana-5405	54	7	𝜏	𝜏	NOUN
cana-5405	54	8	)	)	PUNCT
cana-5405	54	9	,	,	PUNCT
cana-5405	54	10	휁	휁	NOUN
cana-5405	54	11	)	)	PUNCT
cana-5405	54	12	where	where	SCONJ
cana-5405	54	13	p	p	NOUN
cana-5405	54	14	is	be	AUX
cana-5405	54	15	a	a	DET
cana-5405	54	16	permutation	permutation	NOUN
cana-5405	54	17	function	function	NOUN
cana-5405	54	18	;	;	PUNCT
cana-5405	54	19	(	(	PUNCT
cana-5405	54	20	vi	vi	NOUN
cana-5405	54	21	)	)	PUNCT
cana-5405	54	22	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	54	23	,	,	PUNCT
cana-5405	54	24	a	a	PRON
cana-5405	54	25	,	,	PUNCT
cana-5405	54	26	a	a	DET
cana-5405	54	27	,	,	PUNCT
cana-5405	54	28	휁	휁	NOUN
cana-5405	54	29	)	)	PUNCT
cana-5405	54	30	∗	∗	NOUN
cana-5405	54	31	𝒬(𝑎	𝒬(𝑎	PROPN
cana-5405	54	32	,	,	PUNCT
cana-5405	54	33	𝜔	𝜔	NOUN
cana-5405	54	34	,	,	PUNCT
cana-5405	54	35	𝜏	𝜏	NOUN
cana-5405	54	36	,	,	PUNCT
cana-5405	54	37	휂	휂	NOUN
cana-5405	54	38	)	)	PUNCT
cana-5405	54	39	≤	≤	NOUN
cana-5405	54	40	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	54	41	,	,	PUNCT
cana-5405	54	42	𝜔	𝜔	ADP
cana-5405	54	43	,	,	PUNCT
cana-5405	54	44	𝜏	𝜏	NOUN
cana-5405	54	45	,	,	PUNCT
cana-5405	54	46	휁	휁	NOUN
cana-5405	54	47	+	+	X
cana-5405	54	48	휂	휂	X
cana-5405	54	49	)	)	PUNCT
cana-5405	54	50	;	;	PUNCT
cana-5405	55	1	(	(	PUNCT
cana-5405	55	2	vii	vii	PROPN
cana-5405	55	3	)	)	PUNCT
cana-5405	55	4	𝒬(𝜛	𝒬(𝜛	X
cana-5405	55	5	,	,	PUNCT
cana-5405	55	6	𝜔	𝜔	ADP
cana-5405	55	7	,	,	PUNCT
cana-5405	55	8	𝜏	𝜏	NOUN
cana-5405	55	9	,	,	PUNCT
cana-5405	55	10	.	.	PUNCT
cana-5405	55	11	):	):	PUNCT
cana-5405	55	12	(	(	PUNCT
cana-5405	55	13	0	0	NUM
cana-5405	55	14	,	,	PUNCT
cana-5405	55	15	∞	∞	NUM
cana-5405	55	16	)	)	PUNCT
cana-5405	55	17	→	→	PUNCT
cana-5405	56	1	[	[	X
cana-5405	56	2	0,1	0,1	NUM
cana-5405	56	3	]	]	PUNCT
cana-5405	56	4	is	be	AUX
cana-5405	56	5	continuous	continuous	ADJ
cana-5405	56	6	;	;	PUNCT
cana-5405	56	7	(	(	PUNCT
cana-5405	56	8	viii	viii	NOUN
cana-5405	56	9	)	)	PUNCT
cana-5405	56	10	𝒬	𝒬	PROPN
cana-5405	56	11	is	be	AUX
cana-5405	56	12	non	non	ADJ
cana-5405	56	13	-	-	ADJ
cana-5405	56	14	decreasing	decrease	VERB
cana-5405	56	15	of	of	ADP
cana-5405	56	16	ℜ+	ℜ+	ADP
cana-5405	56	17	,	,	PUNCT
cana-5405	56	18	lim	lim	NOUN
cana-5405	56	19	𝜁→∞	𝜁→∞	PRON
cana-5405	56	20	𝒬(𝜛	𝒬(𝜛	NUM
cana-5405	56	21	,	,	PUNCT
cana-5405	56	22	𝜔	𝜔	NOUN
cana-5405	56	23	,	,	PUNCT
cana-5405	56	24	𝜏	𝜏	NOUN
cana-5405	56	25	,	,	PUNCT
cana-5405	56	26	휁	휁	NOUN
cana-5405	56	27	)	)	PUNCT
cana-5405	56	28	=	=	SYM
cana-5405	56	29	1	1	NUM
cana-5405	56	30	and	and	CCONJ
cana-5405	56	31	lim	lim	PROPN
cana-5405	56	32	𝜁→0	𝜁→0	X
cana-5405	56	33	𝒬(𝜛	𝒬(𝜛	X
cana-5405	56	34	,	,	PUNCT
cana-5405	56	35	𝜔	𝜔	NOUN
cana-5405	56	36	,	,	PUNCT
cana-5405	56	37	𝜏	𝜏	NOUN
cana-5405	56	38	,	,	PUNCT
cana-5405	56	39	휁	휁	NOUN
cana-5405	56	40	)	)	PUNCT
cana-5405	56	41	=	=	SYM
cana-5405	56	42	0	0	NUM
cana-5405	56	43	for	for	ADP
cana-5405	56	44	all	all	DET
cana-5405	56	45	𝜛	𝜛	PROPN
cana-5405	56	46	,	,	PUNCT
cana-5405	56	47	𝜔	𝜔	VERB
cana-5405	56	48	,	,	PUNCT
cana-5405	56	49	𝜏	𝜏	PRON
cana-5405	56	50	∈ξ	∈ξ	NOUN
cana-5405	56	51	,	,	PUNCT
cana-5405	56	52	휁	휁	X
cana-5405	56	53	>	>	X
cana-5405	56	54	0	0	PUNCT
cana-5405	56	55	(	(	PUNCT
cana-5405	56	56	ix	ix	PROPN
cana-5405	56	57	)	)	PUNCT
cana-5405	56	58	ℋ(𝜛	ℋ(𝜛	NOUN
cana-5405	56	59	,	,	PUNCT
cana-5405	56	60	𝜛	𝜛	NOUN
cana-5405	56	61	,	,	PUNCT
cana-5405	56	62	𝜔	𝜔	NOUN
cana-5405	56	63	,	,	PUNCT
cana-5405	56	64	휁	휁	NOUN
cana-5405	56	65	)	)	PUNCT
cana-5405	56	66	<	<	X
cana-5405	56	67	1	1	NUM
cana-5405	56	68	;	;	PUNCT
cana-5405	56	69	for	for	ADP
cana-5405	56	70	𝜛	𝜛	PROPN
cana-5405	56	71	≠	≠	PROPN
cana-5405	56	72	𝜔	𝜔	PART
cana-5405	56	73	;	;	PUNCT
cana-5405	56	74	(	(	PUNCT
cana-5405	56	75	x	x	X
cana-5405	56	76	)	)	PUNCT
cana-5405	56	77	ℋ	ℋ	PROPN
cana-5405	56	78	(	(	PUNCT
cana-5405	56	79	𝜛	𝜛	PROPN
cana-5405	56	80	,	,	PUNCT
cana-5405	56	81	𝜛𝜔	𝜛𝜔	NOUN
cana-5405	56	82	,	,	PUNCT
cana-5405	56	83	휁	휁	NOUN
cana-5405	56	84	)	)	PUNCT
cana-5405	56	85	≥	≥	NOUN
cana-5405	56	86	ℋ	ℋ	PROPN
cana-5405	56	87	(	(	PUNCT
cana-5405	56	88	𝜛	𝜛	PROPN
cana-5405	56	89	,	,	PUNCT
cana-5405	56	90	𝜔	𝜔	ADP
cana-5405	56	91	,	,	PUNCT
cana-5405	56	92	𝜏	𝜏	NOUN
cana-5405	56	93	,	,	PUNCT
cana-5405	56	94	휁	휁	NOUN
cana-5405	56	95	)	)	PUNCT
cana-5405	56	96	,	,	PUNCT
cana-5405	56	97	for	for	ADP
cana-5405	56	98	𝜔	𝜔	DET
cana-5405	56	99	≠	≠	PROPN
cana-5405	56	100	휁	휁	NOUN
cana-5405	56	101	;	;	PUNCT
cana-5405	56	102	(	(	PUNCT
cana-5405	56	103	xi	xi	NOUN
cana-5405	56	104	)	)	PUNCT
cana-5405	56	105	ℋ(𝜛	ℋ(𝜛	NOUN
cana-5405	56	106	,	,	PUNCT
cana-5405	56	107	𝜔	𝜔	NOUN
cana-5405	56	108	,	,	PUNCT
cana-5405	56	109	𝜏	𝜏	NOUN
cana-5405	56	110	,	,	PUNCT
cana-5405	56	111	휁	휁	NOUN
cana-5405	56	112	)	)	PUNCT
cana-5405	56	113	=	=	SYM
cana-5405	56	114	0	0	PUNCT
cana-5405	57	1	if	if	SCONJ
cana-5405	57	2	and	and	CCONJ
cana-5405	57	3	only	only	ADV
cana-5405	57	4	if	if	SCONJ
cana-5405	57	5	𝜛	𝜛	X
cana-5405	57	6	=	=	PUNCT
cana-5405	57	7	𝜔	𝜔	PROPN
cana-5405	57	8	=	=	SYM
cana-5405	57	9	𝜏	𝜏	NOUN
cana-5405	57	10	;	;	PUNCT
cana-5405	57	11	(	(	PUNCT
cana-5405	57	12	xii	xii	NOUN
cana-5405	57	13	)	)	PUNCT
cana-5405	57	14	ℋ(𝜛	ℋ(𝜛	NOUN
cana-5405	57	15	,	,	PUNCT
cana-5405	57	16	𝜔	𝜔	NOUN
cana-5405	57	17	,	,	PUNCT
cana-5405	57	18	𝜏	𝜏	NOUN
cana-5405	57	19	,	,	PUNCT
cana-5405	57	20	휁	휁	NOUN
cana-5405	57	21	)	)	PUNCT
cana-5405	57	22	ℋ(p	ℋ(p	NOUN
cana-5405	57	23	(	(	PUNCT
cana-5405	57	24	𝜛	𝜛	PROPN
cana-5405	57	25	,	,	PUNCT
cana-5405	57	26	𝜔	𝜔	NOUN
cana-5405	57	27	,	,	PUNCT
cana-5405	57	28	𝜏	𝜏	NOUN
cana-5405	57	29	)	)	PUNCT
cana-5405	57	30	,	,	PUNCT
cana-5405	57	31	휁	휁	NOUN
cana-5405	57	32	)	)	PUNCT
cana-5405	57	33	where	where	SCONJ
cana-5405	57	34	p	p	NOUN
cana-5405	57	35	is	be	AUX
cana-5405	57	36	a	a	DET
cana-5405	57	37	permutation	permutation	NOUN
cana-5405	57	38	function	function	NOUN
cana-5405	57	39	;	;	PUNCT
cana-5405	57	40	(	(	PUNCT
cana-5405	57	41	xiii	xiii	NOUN
cana-5405	57	42	)	)	PUNCT
cana-5405	57	43	ℋ(𝜛	ℋ(𝜛	NOUN
cana-5405	57	44	,	,	PUNCT
cana-5405	57	45	a	a	DET
cana-5405	57	46	,	,	PUNCT
cana-5405	57	47	a	a	DET
cana-5405	57	48	,	,	PUNCT
cana-5405	57	49	휁	휁	NOUN
cana-5405	57	50	)	)	PUNCT
cana-5405	57	51	∗	∗	NOUN
cana-5405	57	52	ℋ(𝑎	ℋ(𝑎	NUM
cana-5405	57	53	,	,	PUNCT
cana-5405	57	54	𝜔	𝜔	NOUN
cana-5405	57	55	,	,	PUNCT
cana-5405	57	56	𝜏	𝜏	NOUN
cana-5405	57	57	,	,	PUNCT
cana-5405	57	58	휂	휂	NOUN
cana-5405	57	59	)	)	PUNCT
cana-5405	57	60	≥	≥	NOUN
cana-5405	57	61	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	57	62	,	,	PUNCT
cana-5405	57	63	𝜔	𝜔	SYM
cana-5405	57	64	,	,	PUNCT
cana-5405	57	65	𝜏	𝜏	NOUN
cana-5405	57	66	,	,	PUNCT
cana-5405	57	67	휁	휁	NOUN
cana-5405	57	68	+	+	X
cana-5405	57	69	휂	휂	X
cana-5405	57	70	)	)	PUNCT
cana-5405	57	71	;	;	PUNCT
cana-5405	57	72	(	(	PUNCT
cana-5405	57	73	xiv	xiv	NOUN
cana-5405	57	74	)	)	PUNCT
cana-5405	57	75	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	57	76	,	,	PUNCT
cana-5405	57	77	𝜔	𝜔	NOUN
cana-5405	57	78	,	,	PUNCT
cana-5405	57	79	𝜏	𝜏	NOUN
cana-5405	57	80	,	,	PUNCT
cana-5405	57	81	.	.	PUNCT
cana-5405	57	82	):	):	PUNCT
cana-5405	57	83	(	(	PUNCT
cana-5405	57	84	0	0	NUM
cana-5405	57	85	,	,	PUNCT
cana-5405	57	86	∞	∞	NUM
cana-5405	57	87	)	)	PUNCT
cana-5405	57	88	→	→	PUNCT
cana-5405	58	1	[	[	X
cana-5405	58	2	0,1	0,1	NUM
cana-5405	58	3	]	]	PUNCT
cana-5405	58	4	is	be	AUX
cana-5405	58	5	continuous	continuous	ADJ
cana-5405	58	6	;	;	PUNCT
cana-5405	58	7	(	(	PUNCT
cana-5405	58	8	xv	xv	NOUN
cana-5405	58	9	)	)	PUNCT
cana-5405	58	10	ℋ	ℋ	PROPN
cana-5405	58	11	is	be	AUX
cana-5405	58	12	non	non	ADJ
cana-5405	58	13	-	-	ADJ
cana-5405	58	14	increasing	increase	VERB
cana-5405	58	15	of	of	ADP
cana-5405	58	16	ℜ+	ℜ+	ADP
cana-5405	58	17	,	,	PUNCT
cana-5405	58	18	lim	lim	NOUN
cana-5405	58	19	𝜁→∞	𝜁→∞	NUM
cana-5405	58	20	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	58	21	,	,	PUNCT
cana-5405	58	22	𝜔	𝜔	SYM
cana-5405	58	23	,	,	PUNCT
cana-5405	58	24	𝜏	𝜏	NOUN
cana-5405	58	25	,	,	PUNCT
cana-5405	58	26	휁	휁	NOUN
cana-5405	58	27	)	)	PUNCT
cana-5405	58	28	=	=	SYM
cana-5405	58	29	1	1	NUM
cana-5405	58	30	and	and	CCONJ
cana-5405	58	31	lim	lim	PROPN
cana-5405	58	32	𝜁→0	𝜁→0	X
cana-5405	58	33	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	58	34	,	,	PUNCT
cana-5405	58	35	𝜔	𝜔	NOUN
cana-5405	58	36	,	,	PUNCT
cana-5405	58	37	𝜏	𝜏	NOUN
cana-5405	58	38	,	,	PUNCT
cana-5405	58	39	휁	휁	NOUN
cana-5405	58	40	)	)	PUNCT
cana-5405	58	41	=	=	SYM
cana-5405	58	42	1	1	NUM
cana-5405	58	43	for	for	ADP
cana-5405	58	44	all	all	DET
cana-5405	58	45	𝜛	𝜛	PROPN
cana-5405	58	46	,	,	PUNCT
cana-5405	58	47	𝜔	𝜔	VERB
cana-5405	58	48	,	,	PUNCT
cana-5405	58	49	𝜏	𝜏	PRON
cana-5405	58	50	∈ξ	∈ξ	NOUN
cana-5405	58	51	,	,	PUNCT
cana-5405	58	52	휁	휁	X
cana-5405	58	53	>	>	X
cana-5405	58	54	0	0	NUM
cana-5405	58	55	(	(	PUNCT
cana-5405	58	56	xvi	xvi	NOUN
cana-5405	58	57	)	)	PUNCT
cana-5405	58	58	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	58	59	,	,	PUNCT
cana-5405	58	60	𝜛	𝜛	PROPN
cana-5405	58	61	,	,	PUNCT
cana-5405	58	62	𝜔	𝜔	NOUN
cana-5405	58	63	,	,	PUNCT
cana-5405	58	64	휁	휁	NOUN
cana-5405	58	65	)	)	PUNCT
cana-5405	58	66	<	<	X
cana-5405	58	67	1	1	NUM
cana-5405	58	68	;	;	PUNCT
cana-5405	58	69	for	for	ADP
cana-5405	58	70	𝜛	𝜛	PROPN
cana-5405	58	71	≠	≠	PROPN
cana-5405	58	72	𝜔	𝜔	PART
cana-5405	58	73	;	;	PUNCT
cana-5405	58	74	(	(	PUNCT
cana-5405	58	75	xvii	xvii	ADJ
cana-5405	58	76	)	)	PUNCT
cana-5405	58	77	𝒪	𝒪	PROPN
cana-5405	58	78	(	(	PUNCT
cana-5405	58	79	𝜛	𝜛	PROPN
cana-5405	58	80	,	,	PUNCT
cana-5405	58	81	𝜛𝜔	𝜛𝜔	NOUN
cana-5405	58	82	,	,	PUNCT
cana-5405	58	83	휁	휁	NOUN
cana-5405	58	84	)	)	PUNCT
cana-5405	58	85	≥	≥	NOUN
cana-5405	58	86	𝒪	𝒪	PROPN
cana-5405	58	87	(	(	PUNCT
cana-5405	58	88	𝜛	𝜛	PROPN
cana-5405	58	89	,	,	PUNCT
cana-5405	58	90	𝜔	𝜔	ADP
cana-5405	58	91	,	,	PUNCT
cana-5405	58	92	𝜏	𝜏	NOUN
cana-5405	58	93	,	,	PUNCT
cana-5405	58	94	휁	휁	NOUN
cana-5405	58	95	)	)	PUNCT
cana-5405	58	96	,	,	PUNCT
cana-5405	58	97	for	for	ADP
cana-5405	58	98	𝜔	𝜔	DET
cana-5405	58	99	≠	≠	PROPN
cana-5405	58	100	휁	휁	NOUN
cana-5405	58	101	;	;	PUNCT
cana-5405	58	102	(	(	PUNCT
cana-5405	58	103	xviii	xviii	PROPN
cana-5405	58	104	)	)	PUNCT
cana-5405	58	105	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	58	106	,	,	PUNCT
cana-5405	58	107	𝜔	𝜔	NOUN
cana-5405	58	108	,	,	PUNCT
cana-5405	58	109	𝜏	𝜏	NOUN
cana-5405	58	110	,	,	PUNCT
cana-5405	58	111	휁	휁	NOUN
cana-5405	58	112	)	)	PUNCT
cana-5405	58	113	=	=	SYM
cana-5405	58	114	0	0	PUNCT
cana-5405	59	1	if	if	SCONJ
cana-5405	59	2	and	and	CCONJ
cana-5405	59	3	only	only	ADV
cana-5405	59	4	if	if	SCONJ
cana-5405	59	5	𝜛	𝜛	X
cana-5405	59	6	=	=	PUNCT
cana-5405	59	7	𝜔	𝜔	PROPN
cana-5405	59	8	=	=	SYM
cana-5405	59	9	𝜏	𝜏	NOUN
cana-5405	59	10	;	;	PUNCT
cana-5405	59	11	(	(	PUNCT
cana-5405	59	12	xix	xix	NOUN
cana-5405	59	13	)	)	PUNCT
cana-5405	59	14	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	59	15	,	,	PUNCT
cana-5405	59	16	𝜔	𝜔	NOUN
cana-5405	59	17	,	,	PUNCT
cana-5405	59	18	𝜏	𝜏	NOUN
cana-5405	59	19	,	,	PUNCT
cana-5405	59	20	휁	휁	NOUN
cana-5405	59	21	)	)	PUNCT
cana-5405	59	22	𝒪(p	𝒪(p	NUM
cana-5405	59	23	(	(	PUNCT
cana-5405	59	24	𝜛	𝜛	PROPN
cana-5405	59	25	,	,	PUNCT
cana-5405	59	26	𝜔	𝜔	NOUN
cana-5405	59	27	,	,	PUNCT
cana-5405	59	28	𝜏	𝜏	NOUN
cana-5405	59	29	)	)	PUNCT
cana-5405	59	30	,	,	PUNCT
cana-5405	59	31	휁	휁	NOUN
cana-5405	59	32	)	)	PUNCT
cana-5405	59	33	where	where	SCONJ
cana-5405	59	34	p	p	NOUN
cana-5405	59	35	is	be	AUX
cana-5405	59	36	a	a	DET
cana-5405	59	37	permutation	permutation	NOUN
cana-5405	59	38	function	function	NOUN
cana-5405	59	39	;	;	PUNCT
cana-5405	59	40	(	(	PUNCT
cana-5405	59	41	xx	xx	X
cana-5405	59	42	)	)	PUNCT
cana-5405	60	1	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	60	2	,	,	PUNCT
cana-5405	60	3	a	a	PRON
cana-5405	60	4	,	,	PUNCT
cana-5405	60	5	a	a	DET
cana-5405	60	6	,	,	PUNCT
cana-5405	60	7	휁	휁	NOUN
cana-5405	60	8	)	)	PUNCT
cana-5405	60	9	∗	∗	NOUN
cana-5405	60	10	𝒪(𝑎	𝒪(𝑎	SYM
cana-5405	60	11	,	,	PUNCT
cana-5405	60	12	𝜔	𝜔	NOUN
cana-5405	60	13	,	,	PUNCT
cana-5405	60	14	𝜏	𝜏	NOUN
cana-5405	60	15	,	,	PUNCT
cana-5405	60	16	휂	휂	NOUN
cana-5405	60	17	)	)	PUNCT
cana-5405	60	18	≥	≥	NOUN
cana-5405	60	19	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	60	20	,	,	PUNCT
cana-5405	60	21	𝜔	𝜔	NOUN
cana-5405	60	22	,	,	PUNCT
cana-5405	60	23	𝜏	𝜏	NOUN
cana-5405	60	24	,	,	PUNCT
cana-5405	60	25	휁	휁	NOUN
cana-5405	60	26	+	+	X
cana-5405	60	27	휂	휂	X
cana-5405	60	28	)	)	PUNCT
cana-5405	60	29	;	;	PUNCT
cana-5405	60	30	(	(	PUNCT
cana-5405	60	31	xxi	xxi	PROPN
cana-5405	60	32	)	)	PUNCT
cana-5405	60	33	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	60	34	,	,	PUNCT
cana-5405	60	35	𝜔	𝜔	NOUN
cana-5405	60	36	,	,	PUNCT
cana-5405	60	37	𝜏	𝜏	NOUN
cana-5405	60	38	,	,	PUNCT
cana-5405	60	39	.	.	PUNCT
cana-5405	60	40	):	):	PUNCT
cana-5405	61	1	(	(	PUNCT
cana-5405	61	2	0	0	NUM
cana-5405	61	3	,	,	PUNCT
cana-5405	61	4	∞	∞	NUM
cana-5405	61	5	)	)	PUNCT
cana-5405	61	6	→	→	PUNCT
cana-5405	62	1	[	[	X
cana-5405	62	2	0,1	0,1	NUM
cana-5405	62	3	]	]	PUNCT
cana-5405	62	4	is	be	AUX
cana-5405	62	5	continuous	continuous	ADJ
cana-5405	62	6	;	;	PUNCT
cana-5405	62	7	(	(	PUNCT
cana-5405	62	8	xxii	xxii	NOUN
cana-5405	62	9	)	)	PUNCT
cana-5405	62	10	𝒪	𝒪	PROPN
cana-5405	62	11	is	be	AUX
cana-5405	62	12	non	non	ADJ
cana-5405	62	13	-	-	ADJ
cana-5405	62	14	increasing	increase	VERB
cana-5405	62	15	of	of	ADP
cana-5405	62	16	ℜ+	ℜ+	ADP
cana-5405	62	17	,	,	PUNCT
cana-5405	62	18	lim	lim	PROPN
cana-5405	62	19	𝜁→∞	𝜁→∞	PROPN
cana-5405	62	20	𝒪(𝜛	𝒪(𝜛	PROPN
cana-5405	62	21	,	,	PUNCT
cana-5405	62	22	𝜔	𝜔	NOUN
cana-5405	62	23	,	,	PUNCT
cana-5405	62	24	𝜏	𝜏	NOUN
cana-5405	62	25	,	,	PUNCT
cana-5405	62	26	휁	휁	NOUN
cana-5405	62	27	)	)	PUNCT
cana-5405	62	28	=	=	SYM
cana-5405	62	29	1	1	NUM
cana-5405	62	30	and	and	CCONJ
cana-5405	62	31	lim	lim	PROPN
cana-5405	62	32	𝜁→0	𝜁→0	PUNCT
cana-5405	62	33	𝒪(𝜛	𝒪(𝜛	X
cana-5405	62	34	,	,	PUNCT
cana-5405	62	35	𝜔	𝜔	NOUN
cana-5405	62	36	,	,	PUNCT
cana-5405	62	37	𝜏	𝜏	NOUN
cana-5405	62	38	,	,	PUNCT
cana-5405	62	39	휁	휁	NOUN
cana-5405	62	40	)	)	PUNCT
cana-5405	62	41	=	=	SYM
cana-5405	62	42	1	1	NUM
cana-5405	62	43	for	for	ADP
cana-5405	62	44	all	all	DET
cana-5405	62	45	𝜛	𝜛	PROPN
cana-5405	62	46	,	,	PUNCT
cana-5405	62	47	𝜔	𝜔	VERB
cana-5405	62	48	,	,	PUNCT
cana-5405	62	49	𝜏	𝜏	PRON
cana-5405	62	50	∈ξ	∈ξ	NOUN
cana-5405	62	51	,	,	PUNCT
cana-5405	62	52	휁	휁	NOUN
cana-5405	62	53	>	>	X
cana-5405	62	54	0	0	NUM
cana-5405	62	55	communications	communication	NOUN
cana-5405	62	56	on	on	ADP
cana-5405	62	57	applied	apply	VERB
cana-5405	62	58	nonlinear	nonlinear	ADJ
cana-5405	62	59	analysis	analysis	NOUN
cana-5405	62	60	issn	issn	NOUN
cana-5405	62	61	:	:	PUNCT
cana-5405	62	62	1074	1074	NUM
cana-5405	62	63	-	-	PUNCT
cana-5405	62	64	133x	133x	NUM
cana-5405	62	65	vol	vol	VERB
cana-5405	62	66	32	32	NUM
cana-5405	62	67	no	no	NOUN
cana-5405	62	68	.	.	PUNCT
cana-5405	63	1	10s	10	NOUN
cana-5405	63	2	(	(	PUNCT
cana-5405	63	3	2025	2025	NUM
cana-5405	63	4	)	)	PUNCT
cana-5405	63	5	2149	2149	NUM
cana-5405	63	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	63	7	then	then	ADV
cana-5405	63	8	(	(	PUNCT
cana-5405	63	9	𝒬	𝒬	PROPN
cana-5405	63	10	,	,	PUNCT
cana-5405	63	11	ℋ	ℋ	PROPN
cana-5405	63	12	,	,	PUNCT
cana-5405	63	13	𝒪	𝒪	PROPN
cana-5405	63	14	)	)	PUNCT
cana-5405	63	15	is	be	AUX
cana-5405	63	16	said	say	VERB
cana-5405	63	17	to	to	PART
cana-5405	63	18	be	be	AUX
cana-5405	63	19	a	a	DET
cana-5405	63	20	neutrosophic	neutrosophic	ADJ
cana-5405	63	21	metric	metric	NOUN
cana-5405	63	22	on	on	ADP
cana-5405	63	23	ξ	ξ	PROPN
cana-5405	63	24	.	.	PUNCT
cana-5405	64	1	the	the	DET
cana-5405	64	2	function	function	PROPN
cana-5405	64	3	𝒬	𝒬	PROPN
cana-5405	64	4	,	,	PUNCT
cana-5405	64	5	ℋ	ℋ	PROPN
cana-5405	64	6	and	and	CCONJ
cana-5405	64	7	𝒪	𝒪	PROPN
cana-5405	64	8	denote	denote	VERB
cana-5405	64	9	respectively	respectively	ADV
cana-5405	64	10	degree	degree	NOUN
cana-5405	64	11	of	of	ADP
cana-5405	64	12	closeness	closeness	NOUN
cana-5405	64	13	,	,	PUNCT
cana-5405	64	14	neutrality	neutrality	NOUN
cana-5405	64	15	and	and	CCONJ
cana-5405	64	16	noncloseness	noncloseness	NOUN
cana-5405	64	17	between	between	ADP
cana-5405	64	18	𝜛	𝜛	PROPN
cana-5405	64	19	,	,	PUNCT
cana-5405	64	20	𝜔	𝜔	PROPN
cana-5405	64	21	and	and	CCONJ
cana-5405	64	22	𝜏	𝜏	X
cana-5405	64	23	with	with	ADP
cana-5405	64	24	respect	respect	NOUN
cana-5405	64	25	to	to	ADP
cana-5405	64	26	휁	휁	NOUN
cana-5405	64	27	respectively	respectively	ADV
cana-5405	64	28	.	.	PUNCT
cana-5405	65	1	example	example	NOUN
cana-5405	65	2	:	:	PUNCT
cana-5405	66	1	2.5	2.5	NUM
cana-5405	66	2	[	[	SYM
cana-5405	66	3	20	20	NUM
cana-5405	66	4	]	]	PUNCT
cana-5405	66	5	let	let	VERB
cana-5405	66	6	(	(	PUNCT
cana-5405	66	7	ξ	ξ	X
cana-5405	66	8	,	,	PUNCT
cana-5405	66	9	d	d	NOUN
cana-5405	66	10	)	)	PUNCT
cana-5405	66	11	be	be	AUX
cana-5405	66	12	a	a	DET
cana-5405	66	13	qmetric	qmetric	ADJ
cana-5405	66	14	space	space	NOUN
cana-5405	66	15	,	,	PUNCT
cana-5405	66	16	for	for	ADP
cana-5405	66	17	all	all	PRON
cana-5405	66	18	𝜛	𝜛	PROPN
cana-5405	66	19	,	,	PUNCT
cana-5405	66	20	𝜔	𝜔	ADP
cana-5405	66	21	,	,	PUNCT
cana-5405	66	22	𝜏	𝜏	NOUN
cana-5405	66	23	,	,	PUNCT
cana-5405	66	24	휁	휁	NOUN
cana-5405	66	25	∈ξ	∈ξ	NOUN
cana-5405	66	26	,	,	PUNCT
cana-5405	66	27	and	and	CCONJ
cana-5405	66	28	every	every	DET
cana-5405	66	29	휁	휁	X
cana-5405	66	30	>	>	X
cana-5405	66	31	0	0	NUM
cana-5405	66	32	,	,	PUNCT
cana-5405	66	33	consider	consider	VERB
cana-5405	66	34	𝒬	𝒬	PROPN
cana-5405	66	35	,	,	PUNCT
cana-5405	66	36	ℋ	ℋ	PROPN
cana-5405	66	37	,	,	PUNCT
cana-5405	66	38	𝒪	𝒪	PROPN
cana-5405	66	39	to	to	PART
cana-5405	66	40	be	be	AUX
cana-5405	66	41	fuzzy	fuzzy	ADJ
cana-5405	66	42	sets	set	NOUN
cana-5405	66	43	on	on	ADP
cana-5405	66	44	ξ3	ξ3	PROPN
cana-5405	66	45	x	x	SYM
cana-5405	66	46	(	(	PUNCT
cana-5405	66	47	0	0	NUM
cana-5405	66	48	,	,	PUNCT
cana-5405	66	49	∞	∞	PROPN
cana-5405	66	50	)	)	PUNCT
cana-5405	66	51	defined	define	VERB
cana-5405	66	52	by	by	ADP
cana-5405	66	53	𝒬(𝜛	𝒬(𝜛	X
cana-5405	66	54	,	,	PUNCT
cana-5405	66	55	𝜔	𝜔	ADP
cana-5405	66	56	,	,	PUNCT
cana-5405	66	57	𝜏	𝜏	NOUN
cana-5405	66	58	,	,	PUNCT
cana-5405	66	59	휁	휁	NOUN
cana-5405	66	60	)	)	PUNCT
cana-5405	66	61	=	=	SYM
cana-5405	66	62	𝜁	𝜁	PROPN
cana-5405	66	63	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	NOUN
cana-5405	66	64	)	)	PUNCT
cana-5405	66	65	and	and	CCONJ
cana-5405	66	66	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	66	67	,	,	PUNCT
cana-5405	66	68	𝜛	𝜛	PROPN
cana-5405	66	69	,	,	PUNCT
cana-5405	66	70	𝜔	𝜔	NOUN
cana-5405	66	71	,	,	PUNCT
cana-5405	66	72	휁	휁	NOUN
cana-5405	66	73	)	)	PUNCT
cana-5405	66	74	=	=	SYM
cana-5405	66	75	𝐺(𝜛,𝜔,𝜏,𝜁	𝐺(𝜛,𝜔,𝜏,𝜁	NOUN
cana-5405	66	76	)	)	PUNCT
cana-5405	66	77	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	NOUN
cana-5405	66	78	)	)	PUNCT
cana-5405	66	79	and	and	CCONJ
cana-5405	66	80	𝒪(𝜛	𝒪(𝜛	PUNCT
cana-5405	66	81	,	,	PUNCT
cana-5405	66	82	𝜛	𝜛	PROPN
cana-5405	66	83	,	,	PUNCT
cana-5405	66	84	𝜔	𝜔	NOUN
cana-5405	66	85	,	,	PUNCT
cana-5405	66	86	휁	휁	NOUN
cana-5405	66	87	)	)	PUNCT
cana-5405	66	88	=	=	SYM
cana-5405	66	89	𝐺(𝜛,𝜔,𝜏,𝜁	𝐺(𝜛,𝜔,𝜏,𝜁	NOUN
cana-5405	66	90	)	)	PUNCT
cana-5405	66	91	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	𝜁+𝐺(𝜛,𝜔,𝜏,𝜁	ADJ
cana-5405	66	92	)	)	PUNCT
cana-5405	66	93	denote	denote	VERB
cana-5405	66	94	a∗	a∗	PROPN
cana-5405	66	95	b	b	PROPN
cana-5405	66	96	=	=	SYM
cana-5405	66	97	ab	ab	PROPN
cana-5405	66	98	anda	anda	PROPN
cana-5405	66	99	◊	◊	PROPN
cana-5405	66	100	b	b	PROPN
cana-5405	66	101	=	=	SYM
cana-5405	66	102	min	min	PROPN
cana-5405	66	103	{	{	PUNCT
cana-5405	66	104	a+b	a+b	NUM
cana-5405	66	105	,	,	PUNCT
cana-5405	66	106	1	1	NUM
cana-5405	66	107	}	}	PUNCT
cana-5405	66	108	.	.	PUNCT
cana-5405	67	1	then	then	ADV
cana-5405	67	2	(	(	PUNCT
cana-5405	67	3	ξ	ξ	PROPN
cana-5405	67	4	,	,	PUNCT
cana-5405	67	5	𝒬	𝒬	PROPN
cana-5405	67	6	,	,	PUNCT
cana-5405	67	7	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	67	8	*	*	PUNCT
cana-5405	67	9	,	,	PUNCT
cana-5405	67	10			PROPN
cana-5405	67	11	)	)	PUNCT
cana-5405	67	12	is	be	AUX
cana-5405	67	13	an	an	DET
cana-5405	67	14	neutrosophic	neutrosophic	ADJ
cana-5405	67	15	metric	metric	ADJ
cana-5405	67	16	space	space	NOUN
cana-5405	67	17	.	.	PUNCT
cana-5405	68	1	notice	notice	VERB
cana-5405	68	2	that	that	SCONJ
cana-5405	68	3	the	the	DET
cana-5405	68	4	above	above	ADJ
cana-5405	68	5	example	example	NOUN
cana-5405	68	6	holds	hold	VERB
cana-5405	68	7	even	even	ADV
cana-5405	68	8	with	with	ADP
cana-5405	68	9	the	the	DET
cana-5405	68	10	tnorm	tnorm	NOUN
cana-5405	68	11	a	a	DET
cana-5405	68	12	∗	∗	NOUN
cana-5405	68	13	b	b	NOUN
cana-5405	68	14	=	=	SYM
cana-5405	68	15	min	min	PROPN
cana-5405	68	16	{	{	PUNCT
cana-5405	68	17	a	a	PROPN
cana-5405	68	18	,	,	PUNCT
cana-5405	68	19	b	b	NOUN
cana-5405	68	20	}	}	PUNCT
cana-5405	68	21	and	and	CCONJ
cana-5405	68	22	t	t	PROPN
cana-5405	68	23	–	–	PUNCT
cana-5405	68	24	conorm	conorm	VERB
cana-5405	68	25	a	a	DET
cana-5405	68	26	◊	◊	PROPN
cana-5405	68	27	b	b	NOUN
cana-5405	68	28	=	=	SYM
cana-5405	68	29	max	max	PROPN
cana-5405	68	30	{	{	PUNCT
cana-5405	68	31	a	a	PROPN
cana-5405	68	32	,	,	PUNCT
cana-5405	68	33	b	b	NOUN
cana-5405	68	34	}	}	PUNCT
cana-5405	68	35	.	.	PUNCT
cana-5405	69	1	definition	definition	NOUN
cana-5405	69	2	:	:	PUNCT
cana-5405	69	3	2.6[20	2.6[20	X
cana-5405	69	4	]	]	X
cana-5405	69	5	let	let	VERB
cana-5405	69	6	(	(	PUNCT
cana-5405	69	7	ξ	ξ	X
cana-5405	69	8	,	,	PUNCT
cana-5405	69	9	𝒬	𝒬	PROPN
cana-5405	69	10	,	,	PUNCT
cana-5405	69	11	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	69	12	*	*	PUNCT
cana-5405	69	13	,	,	PUNCT
cana-5405	69	14			PROPN
cana-5405	69	15	)	)	PUNCT
cana-5405	69	16	be	be	AUX
cana-5405	69	17	neutrosophic	neutrosophic	ADJ
cana-5405	69	18	metric	metric	ADJ
cana-5405	69	19	space	space	NOUN
cana-5405	69	20	,	,	PUNCT
cana-5405	69	21	then	then	ADV
cana-5405	69	22	a	a	DET
cana-5405	69	23	sequence	sequence	NOUN
cana-5405	69	24	{	{	PUNCT
cana-5405	69	25	𝜛n	𝜛n	ADP
cana-5405	69	26	}	}	PUNCT
cana-5405	69	27	in	in	ADP
cana-5405	69	28	ξ	ξ	PROPN
cana-5405	69	29	is	be	AUX
cana-5405	69	30	said	say	VERB
cana-5405	69	31	to	to	PART
cana-5405	69	32	be	be	AUX
cana-5405	69	33	convergent	convergent	ADJ
cana-5405	69	34	if	if	SCONJ
cana-5405	69	35	i	i	PRON
cana-5405	69	36	)	)	PUNCT
cana-5405	69	37	lim	lim	PROPN
cana-5405	69	38	n→∞	n→∞	NUM
cana-5405	69	39	𝒬	𝒬	PROPN
cana-5405	69	40	(	(	PUNCT
cana-5405	69	41	𝜛n	𝜛n	INTJ
cana-5405	69	42	,	,	PUNCT
cana-5405	69	43	𝜛n	𝜛n	INTJ
cana-5405	69	44	,	,	PUNCT
cana-5405	69	45	𝜛	𝜛	PROPN
cana-5405	69	46	,	,	PUNCT
cana-5405	69	47	휁)=	휁)=	NOUN
cana-5405	69	48	1	1	NUM
cana-5405	69	49	,	,	PUNCT
cana-5405	69	50	lim	lim	PROPN
cana-5405	69	51	n→∞	n→∞	NUM
cana-5405	69	52	ℋ	ℋ	PROPN
cana-5405	69	53	(	(	PUNCT
cana-5405	69	54	𝜛n	𝜛n	PART
cana-5405	69	55	,	,	PUNCT
cana-5405	69	56	𝜛n	𝜛n	INTJ
cana-5405	69	57	,	,	PUNCT
cana-5405	69	58	𝜛	𝜛	PROPN
cana-5405	69	59	,	,	PUNCT
cana-5405	69	60	휁	휁	NOUN
cana-5405	69	61	)	)	PUNCT
cana-5405	69	62	=	=	SYM
cana-5405	69	63	0	0	PROPN
cana-5405	69	64	,	,	PUNCT
cana-5405	69	65	lim	lim	PROPN
cana-5405	69	66	n→∞	n→∞	NUM
cana-5405	69	67	𝒪	𝒪	PROPN
cana-5405	69	68	(	(	PUNCT
cana-5405	69	69	𝜛n	𝜛n	INTJ
cana-5405	69	70	,	,	PUNCT
cana-5405	69	71	𝜛n	𝜛n	INTJ
cana-5405	69	72	,	,	PUNCT
cana-5405	69	73	𝜛	𝜛	PROPN
cana-5405	69	74	,	,	PUNCT
cana-5405	69	75	휁	휁	NOUN
cana-5405	69	76	)	)	PUNCT
cana-5405	69	77	=	=	SYM
cana-5405	69	78	0	0	X
cana-5405	69	79	.	.	X
cana-5405	69	80	ii	ii	PROPN
cana-5405	69	81	)	)	PUNCT
cana-5405	69	82	a	a	DET
cana-5405	69	83	sequence	sequence	NOUN
cana-5405	69	84	{	{	PUNCT
cana-5405	69	85	𝜛n	𝜛n	ADP
cana-5405	69	86	}	}	PUNCT
cana-5405	69	87	in	in	ADP
cana-5405	69	88	ξ	ξ	PROPN
cana-5405	69	89	is	be	AUX
cana-5405	69	90	said	say	VERB
cana-5405	69	91	to	to	PART
cana-5405	69	92	be	be	AUX
cana-5405	69	93	cauchy	cauchy	ADJ
cana-5405	69	94	sequence	sequence	NOUN
cana-5405	69	95	if	if	SCONJ
cana-5405	69	96	lim	lim	PROPN
cana-5405	69	97	n	n	CCONJ
cana-5405	69	98	,	,	PUNCT
cana-5405	69	99	m→∞	m→∞	NOUN
cana-5405	69	100	𝒬	𝒬	NOUN
cana-5405	69	101	(	(	PUNCT
cana-5405	69	102	𝜛n	𝜛n	PART
cana-5405	69	103	,	,	PUNCT
cana-5405	69	104	𝜛n	𝜛n	ADP
cana-5405	69	105	,	,	PUNCT
cana-5405	69	106	𝜛m	𝜛m	PROPN
cana-5405	69	107	,	,	PUNCT
cana-5405	69	108	휁	휁	NOUN
cana-5405	69	109	)	)	PUNCT
cana-5405	69	110	=	=	SYM
cana-5405	69	111	1	1	NUM
cana-5405	69	112	,	,	PUNCT
cana-5405	69	113	lim	lim	PROPN
cana-5405	69	114	n	n	CCONJ
cana-5405	69	115	,	,	PUNCT
cana-5405	69	116	m→∞	m→∞	NOUN
cana-5405	69	117	ℋ	ℋ	PROPN
cana-5405	69	118	(	(	PUNCT
cana-5405	69	119	𝜛n	𝜛n	PART
cana-5405	69	120	,	,	PUNCT
cana-5405	69	121	𝜛n	𝜛n	ADP
cana-5405	69	122	,	,	PUNCT
cana-5405	69	123	𝜛m	𝜛m	PROPN
cana-5405	69	124	,	,	PUNCT
cana-5405	69	125	휁	휁	NOUN
cana-5405	69	126	)	)	PUNCT
cana-5405	70	1	=	=	SYM
cana-5405	70	2	0	0	PROPN
cana-5405	70	3	,	,	PUNCT
cana-5405	70	4	lim	lim	PROPN
cana-5405	70	5	n	n	CCONJ
cana-5405	70	6	,	,	PUNCT
cana-5405	70	7	m→∞	m→∞	NUM
cana-5405	70	8	𝒪	𝒪	NOUN
cana-5405	70	9	(	(	PUNCT
cana-5405	70	10	𝜛n	𝜛n	INTJ
cana-5405	70	11	,	,	PUNCT
cana-5405	70	12	𝜛n	𝜛n	ADP
cana-5405	70	13	,	,	PUNCT
cana-5405	70	14	𝜛m	𝜛m	PROPN
cana-5405	70	15	,	,	PUNCT
cana-5405	70	16	휁	휁	NOUN
cana-5405	70	17	)	)	PUNCT
cana-5405	71	1	=	=	SYM
cana-5405	71	2	0	0	PROPN
cana-5405	72	1	that	that	PRON
cana-5405	72	2	is	be	AUX
cana-5405	72	3	,	,	PUNCT
cana-5405	72	4	for	for	ADP
cana-5405	72	5	any	any	DET
cana-5405	72	6	휁	휁	NOUN
cana-5405	72	7	>	>	X
cana-5405	72	8	0	0	PROPN
cana-5405	73	1	and	and	CCONJ
cana-5405	73	2	휀	휀	X
cana-5405	73	3	>	>	X
cana-5405	73	4	0	0	PUNCT
cana-5405	73	5	there	there	PRON
cana-5405	73	6	exists	exist	VERB
cana-5405	73	7	n0	n0	PROPN
cana-5405	73	8	∈	∈	PROPN
cana-5405	73	9	n	n	PRON
cana-5405	73	10	such	such	ADJ
cana-5405	73	11	that	that	DET
cana-5405	73	12	𝒬	𝒬	PROPN
cana-5405	73	13	(	(	PUNCT
cana-5405	73	14	𝜛n	𝜛n	PART
cana-5405	73	15	,	,	PUNCT
cana-5405	73	16	𝜛n	𝜛n	ADP
cana-5405	73	17	,	,	PUNCT
cana-5405	73	18	𝜛m	𝜛m	PROPN
cana-5405	73	19	,	,	PUNCT
cana-5405	73	20	휁	휁	NOUN
cana-5405	73	21	)	)	PUNCT
cana-5405	73	22	>	>	X
cana-5405	73	23	1휀	1휀	NOUN
cana-5405	73	24	,	,	PUNCT
cana-5405	73	25	ℋ	ℋ	PROPN
cana-5405	73	26	(	(	PUNCT
cana-5405	73	27	𝜛n	𝜛n	PART
cana-5405	73	28	,	,	PUNCT
cana-5405	73	29	𝜛n	𝜛n	ADP
cana-5405	73	30	,	,	PUNCT
cana-5405	73	31	𝜛m	𝜛m	PROPN
cana-5405	73	32	,	,	PUNCT
cana-5405	73	33	휁	휁	NOUN
cana-5405	73	34	)	)	PUNCT
cana-5405	73	35	<	<	X
cana-5405	73	36	휀	휀	DET
cana-5405	73	37	𝒪	𝒪	PROPN
cana-5405	73	38	(	(	PUNCT
cana-5405	73	39	𝜛n	𝜛n	PART
cana-5405	73	40	,	,	PUNCT
cana-5405	73	41	𝜛n	𝜛n	ADP
cana-5405	73	42	,	,	PUNCT
cana-5405	73	43	𝜛m	𝜛m	PROPN
cana-5405	73	44	,	,	PUNCT
cana-5405	73	45	휁	휁	NOUN
cana-5405	73	46	)	)	PUNCT
cana-5405	73	47	<	<	X
cana-5405	73	48	휀	휀	X
cana-5405	73	49	for	for	ADP
cana-5405	73	50	n	n	CCONJ
cana-5405	73	51	,	,	PUNCT
cana-5405	73	52	m	m	PROPN
cana-5405	73	53	≥	≥	NOUN
cana-5405	73	54	n0	n0	NUM
cana-5405	73	55	.	.	PUNCT
cana-5405	73	56	iii	iii	X
cana-5405	73	57	)	)	PUNCT
cana-5405	73	58	a	a	DET
cana-5405	73	59	neutrosophic	neutrosophic	ADJ
cana-5405	73	60	metric	metric	ADJ
cana-5405	73	61	space	space	NOUN
cana-5405	73	62	(	(	PUNCT
cana-5405	73	63	ξ	ξ	PROPN
cana-5405	73	64	,	,	PUNCT
cana-5405	73	65	𝒬	𝒬	PROPN
cana-5405	73	66	,	,	PUNCT
cana-5405	73	67	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	73	68	*	*	PUNCT
cana-5405	73	69	,	,	PUNCT
cana-5405	73	70	)is	)is	PROPN
cana-5405	73	71	said	say	VERB
cana-5405	73	72	to	to	PART
cana-5405	73	73	be	be	AUX
cana-5405	73	74	complete	complete	ADJ
cana-5405	73	75	if	if	SCONJ
cana-5405	73	76	every	every	DET
cana-5405	73	77	cauchy	cauchy	ADJ
cana-5405	73	78	sequence	sequence	NOUN
cana-5405	73	79	in	in	ADP
cana-5405	73	80	ξ	ξ	PROPN
cana-5405	73	81	is	be	AUX
cana-5405	73	82	convergent	convergent	NOUN
cana-5405	73	83	.	.	PUNCT
cana-5405	74	1	definition	definition	NOUN
cana-5405	74	2	:	:	PUNCT
cana-5405	74	3	2.7[20	2.7[20	X
cana-5405	74	4	]	]	PUNCT
cana-5405	74	5	let	let	VERB
cana-5405	74	6	(	(	PUNCT
cana-5405	74	7	ξ	ξ	X
cana-5405	74	8	,	,	PUNCT
cana-5405	74	9	𝒬	𝒬	PROPN
cana-5405	74	10	,	,	PUNCT
cana-5405	74	11	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	74	12	*	*	PUNCT
cana-5405	74	13	,	,	PUNCT
cana-5405	74	14	)be	)be	NOUN
cana-5405	74	15	a	a	DET
cana-5405	74	16	neutrosophic	neutrosophic	ADJ
cana-5405	74	17	metric	metric	ADJ
cana-5405	74	18	space	space	NOUN
cana-5405	74	19	.	.	PUNCT
cana-5405	75	1	the	the	DET
cana-5405	75	2	following	follow	VERB
cana-5405	75	3	conditions	condition	NOUN
cana-5405	75	4	are	be	AUX
cana-5405	75	5	satisfied	satisfied	ADJ
cana-5405	75	6	:	:	PUNCT
cana-5405	75	7	lim	lim	PROPN
cana-5405	75	8	n→∞	n→∞	NUM
cana-5405	75	9	𝒬(𝜛n	𝒬(𝜛n	PROPN
cana-5405	75	10	,	,	PUNCT
cana-5405	75	11	𝜔n	𝜔n	NOUN
cana-5405	75	12	,	,	PUNCT
cana-5405	75	13	𝜏n	𝜏n	ADP
cana-5405	75	14	,	,	PUNCT
cana-5405	75	15	휁n	휁n	NOUN
cana-5405	75	16	)	)	PUNCT
cana-5405	75	17	=	=	PUNCT
cana-5405	75	18	𝒬(𝜛	𝒬(𝜛	X
cana-5405	75	19	,	,	PUNCT
cana-5405	75	20	𝜔	𝜔	NOUN
cana-5405	75	21	,	,	PUNCT
cana-5405	75	22	𝜏	𝜏	NOUN
cana-5405	75	23	,	,	PUNCT
cana-5405	75	24	휁	휁	NOUN
cana-5405	75	25	)	)	PUNCT
cana-5405	75	26	,	,	PUNCT
cana-5405	75	27	lim	lim	PROPN
cana-5405	75	28	n→∞	n→∞	NUM
cana-5405	75	29	ℋ(𝜛n	ℋ(𝜛n	NUM
cana-5405	75	30	,	,	PUNCT
cana-5405	75	31	𝜔n	𝜔n	NOUN
cana-5405	75	32	,	,	PUNCT
cana-5405	75	33	𝜏n	𝜏n	ADP
cana-5405	75	34	,	,	PUNCT
cana-5405	75	35	휁n	휁n	NOUN
cana-5405	75	36	)	)	PUNCT
cana-5405	75	37	=	=	SYM
cana-5405	76	1	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	76	2	,	,	PUNCT
cana-5405	76	3	𝜔	𝜔	NOUN
cana-5405	76	4	,	,	PUNCT
cana-5405	76	5	𝜏	𝜏	NOUN
cana-5405	76	6	,	,	PUNCT
cana-5405	76	7	휁	휁	NOUN
cana-5405	76	8	)	)	PUNCT
cana-5405	76	9	lim	lim	PROPN
cana-5405	76	10	n→∞	n→∞	NUM
cana-5405	76	11	𝒪(𝜛n	𝒪(𝜛n	PROPN
cana-5405	76	12	,	,	PUNCT
cana-5405	76	13	𝜔n	𝜔n	NOUN
cana-5405	76	14	,	,	PUNCT
cana-5405	76	15	𝜏n	𝜏n	ADP
cana-5405	76	16	,	,	PUNCT
cana-5405	76	17	휁n	휁n	NOUN
cana-5405	76	18	)	)	PUNCT
cana-5405	76	19	=	=	SYM
cana-5405	77	1	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	77	2	,	,	PUNCT
cana-5405	77	3	𝜔	𝜔	NOUN
cana-5405	77	4	,	,	PUNCT
cana-5405	77	5	𝜏	𝜏	NOUN
cana-5405	77	6	,	,	PUNCT
cana-5405	77	7	휁	휁	NOUN
cana-5405	77	8	)	)	PUNCT
cana-5405	77	9	whenever	whenever	SCONJ
cana-5405	77	10	lim	lim	PROPN
cana-5405	77	11	n→∞	n→∞	X
cana-5405	77	12	𝜛	𝜛	PROPN
cana-5405	77	13	n=	n=	PROPN
cana-5405	77	14	𝜛	𝜛	PROPN
cana-5405	77	15	;	;	PUNCT
cana-5405	77	16	lim	lim	PROPN
cana-5405	77	17	n→∞	n→∞	PRON
cana-5405	77	18	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	77	19	=	=	PUNCT
cana-5405	77	20	𝜔	𝜔	NOUN
cana-5405	77	21	;	;	PUNCT
cana-5405	77	22	lim	lim	PROPN
cana-5405	77	23	n→∞	n→∞	PRON
cana-5405	77	24	𝜏𝑛	𝜏𝑛	ADP
cana-5405	77	25	=	=	PUNCT
cana-5405	77	26	𝜏	𝜏	NOUN
cana-5405	77	27	and	and	CCONJ
cana-5405	77	28	communications	communication	NOUN
cana-5405	77	29	on	on	ADP
cana-5405	77	30	applied	apply	VERB
cana-5405	77	31	nonlinear	nonlinear	ADJ
cana-5405	77	32	analysis	analysis	NOUN
cana-5405	77	33	issn	issn	NOUN
cana-5405	77	34	:	:	PUNCT
cana-5405	77	35	1074	1074	NUM
cana-5405	77	36	-	-	PUNCT
cana-5405	77	37	133x	133x	NUM
cana-5405	77	38	vol	vol	VERB
cana-5405	77	39	32	32	NUM
cana-5405	77	40	no	no	NOUN
cana-5405	77	41	.	.	PUNCT
cana-5405	78	1	10s	10	NOUN
cana-5405	78	2	(	(	PUNCT
cana-5405	78	3	2025	2025	NUM
cana-5405	78	4	)	)	PUNCT
cana-5405	78	5	2150	2150	NUM
cana-5405	78	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	79	1	lim	lim	PROPN
cana-5405	79	2	n→∞	n→∞	X
cana-5405	79	3	𝒬(𝜛	𝒬(𝜛	SYM
cana-5405	79	4	,	,	PUNCT
cana-5405	79	5	𝜔	𝜔	NOUN
cana-5405	79	6	,	,	PUNCT
cana-5405	79	7	𝜏	𝜏	NOUN
cana-5405	79	8	,	,	PUNCT
cana-5405	79	9	휁n	휁n	NOUN
cana-5405	79	10	)	)	PUNCT
cana-5405	79	11	=	=	SYM
cana-5405	79	12	𝒬	𝒬	PROPN
cana-5405	79	13	(	(	PUNCT
cana-5405	79	14	𝜛	𝜛	PROPN
cana-5405	79	15	,	,	PUNCT
cana-5405	79	16	𝜔	𝜔	ADP
cana-5405	79	17	,	,	PUNCT
cana-5405	79	18	𝜏	𝜏	NOUN
cana-5405	79	19	,	,	PUNCT
cana-5405	79	20	휁	휁	NOUN
cana-5405	79	21	)	)	PUNCT
cana-5405	79	22	,	,	PUNCT
cana-5405	79	23	lim	lim	PROPN
cana-5405	79	24	n→∞	n→∞	NUM
cana-5405	79	25	ℋ(𝜛	ℋ(𝜛	NUM
cana-5405	79	26	,	,	PUNCT
cana-5405	79	27	𝜔	𝜔	SYM
cana-5405	79	28	,	,	PUNCT
cana-5405	79	29	𝜏	𝜏	NOUN
cana-5405	79	30	,	,	PUNCT
cana-5405	79	31	휁n	휁n	NOUN
cana-5405	79	32	)	)	PUNCT
cana-5405	79	33	=	=	SYM
cana-5405	79	34	ℋ	ℋ	PROPN
cana-5405	79	35	(	(	PUNCT
cana-5405	79	36	𝜛	𝜛	PROPN
cana-5405	79	37	,	,	PUNCT
cana-5405	79	38	𝜔	𝜔	ADP
cana-5405	79	39	,	,	PUNCT
cana-5405	79	40	𝜏	𝜏	NOUN
cana-5405	79	41	,	,	PUNCT
cana-5405	79	42	휁	휁	NOUN
cana-5405	79	43	)	)	PUNCT
cana-5405	79	44	lim	lim	PROPN
cana-5405	79	45	n→∞	n→∞	X
cana-5405	79	46	𝒪(𝜛	𝒪(𝜛	NOUN
cana-5405	79	47	,	,	PUNCT
cana-5405	79	48	𝜔	𝜔	PROPN
cana-5405	79	49	,	,	PUNCT
cana-5405	79	50	𝜏	𝜏	NOUN
cana-5405	79	51	,	,	PUNCT
cana-5405	79	52	휁n	휁n	NOUN
cana-5405	79	53	)	)	PUNCT
cana-5405	79	54	=	=	SYM
cana-5405	79	55	𝒪	𝒪	PROPN
cana-5405	79	56	(	(	PUNCT
cana-5405	79	57	𝜛	𝜛	PROPN
cana-5405	79	58	,	,	PUNCT
cana-5405	79	59	𝜔	𝜔	ADP
cana-5405	79	60	,	,	PUNCT
cana-5405	79	61	𝜏	𝜏	NOUN
cana-5405	79	62	,	,	PUNCT
cana-5405	79	63	휁	휁	NOUN
cana-5405	79	64	)	)	PUNCT
cana-5405	79	65	then	then	ADV
cana-5405	79	66	𝒬	𝒬	PROPN
cana-5405	79	67	,	,	PUNCT
cana-5405	79	68	ℋ	ℋ	PROPN
cana-5405	79	69	,	,	PUNCT
cana-5405	79	70	𝒪are	𝒪are	NOUN
cana-5405	79	71	called	call	VERB
cana-5405	79	72	convergent	convergent	NOUN
cana-5405	79	73	function	function	NOUN
cana-5405	79	74	on	on	ADP
cana-5405	79	75	ξ3	ξ3	PROPN
cana-5405	79	76	x(0	x(0	PROPN
cana-5405	79	77	,	,	PUNCT
cana-5405	79	78	∞	∞	PROPN
cana-5405	79	79	)	)	PUNCT
cana-5405	79	80	.	.	PUNCT
cana-5405	80	1	definition:2.8	definition:2.8	NOUN
cana-5405	81	1	[	[	X
cana-5405	81	2	20	20	NUM
cana-5405	81	3	]	]	PUNCT
cana-5405	81	4	let	let	VERB
cana-5405	81	5	f	f	X
cana-5405	81	6	,	,	PUNCT
cana-5405	81	7	g	g	PROPN
cana-5405	81	8	be	be	VERB
cana-5405	81	9	self	self	NOUN
cana-5405	81	10	maps	map	NOUN
cana-5405	81	11	on	on	ADP
cana-5405	81	12	neutrosophic	neutrosophic	ADJ
cana-5405	81	13	metric	metric	ADJ
cana-5405	81	14	space	space	NOUN
cana-5405	81	15	(	(	PUNCT
cana-5405	81	16	ξ	ξ	PROPN
cana-5405	81	17	,	,	PUNCT
cana-5405	81	18	𝒬	𝒬	PROPN
cana-5405	81	19	,	,	PUNCT
cana-5405	81	20	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	81	21	*	*	PUNCT
cana-5405	81	22	,	,	PUNCT
cana-5405	81	23			PROPN
cana-5405	81	24	)	)	PUNCT
cana-5405	81	25	.	.	PUNCT
cana-5405	82	1	then	then	ADV
cana-5405	82	2	the	the	DET
cana-5405	82	3	mappings	mapping	NOUN
cana-5405	82	4	are	be	AUX
cana-5405	82	5	said	say	VERB
cana-5405	82	6	to	to	PART
cana-5405	82	7	be	be	AUX
cana-5405	82	8	weakly	weakly	ADV
cana-5405	82	9	compatible	compatible	ADJ
cana-5405	82	10	if	if	SCONJ
cana-5405	82	11	they	they	PRON
cana-5405	82	12	commute	commute	VERB
cana-5405	82	13	at	at	ADP
cana-5405	82	14	their	their	PRON
cana-5405	82	15	coincidence	coincidence	NOUN
cana-5405	82	16	point	point	NOUN
cana-5405	82	17	,	,	PUNCT
cana-5405	82	18	that	that	ADV
cana-5405	82	19	is	is	ADV
cana-5405	82	20	,	,	PUNCT
cana-5405	82	21	f	f	PROPN
cana-5405	82	22	𝜛	𝜛	X
cana-5405	82	23	=	=	PUNCT
cana-5405	82	24	g	g	PROPN
cana-5405	82	25	𝜛implies	𝜛implie	VERB
cana-5405	82	26	that	that	PRON
cana-5405	83	1	fg	fg	PRON
cana-5405	83	2	𝜛	𝜛	X
cana-5405	84	1	=	=	X
cana-5405	84	2	gf	gf	X
cana-5405	84	3	𝜛.	𝜛.	X
cana-5405	84	4	definition:2.9	definition:2.9	PROPN
cana-5405	85	1	[	[	X
cana-5405	85	2	20	20	NUM
cana-5405	85	3	]	]	PUNCT
cana-5405	85	4	let	let	VERB
cana-5405	85	5	f	f	PRON
cana-5405	85	6	,	,	PUNCT
cana-5405	85	7	g	g	PROPN
cana-5405	85	8	be	be	VERB
cana-5405	85	9	self	self	NOUN
cana-5405	85	10	maps	map	NOUN
cana-5405	85	11	neutrosophic	neutrosophic	ADJ
cana-5405	85	12	metric	metric	PROPN
cana-5405	85	13	space(ξ	space(ξ	PROPN
cana-5405	85	14	,	,	PUNCT
cana-5405	85	15	𝒬	𝒬	PROPN
cana-5405	85	16	,	,	PUNCT
cana-5405	85	17	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	85	18	*	*	PUNCT
cana-5405	85	19	,	,	PUNCT
cana-5405	85	20			PROPN
cana-5405	85	21	)	)	PUNCT
cana-5405	85	22	the	the	DET
cana-5405	85	23	pair	pair	NOUN
cana-5405	85	24	(	(	PUNCT
cana-5405	85	25	f	f	X
cana-5405	85	26	,	,	PUNCT
cana-5405	85	27	g	g	NOUN
cana-5405	85	28	)	)	PUNCT
cana-5405	85	29	is	be	AUX
cana-5405	85	30	said	say	VERB
cana-5405	85	31	to	to	PART
cana-5405	85	32	be	be	AUX
cana-5405	85	33	compatible	compatible	ADJ
cana-5405	85	34	if	if	SCONJ
cana-5405	85	35	lim	lim	PROPN
cana-5405	85	36	𝑛→∞	𝑛→∞	PUNCT
cana-5405	85	37	𝒬	𝒬	PROPN
cana-5405	85	38	(	(	PUNCT
cana-5405	85	39	fg𝜛n	fg𝜛n	NOUN
cana-5405	85	40	,	,	PUNCT
cana-5405	85	41	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	42	,	,	PUNCT
cana-5405	85	43	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	44	,	,	PUNCT
cana-5405	85	45	휁	휁	NOUN
cana-5405	85	46	)	)	PUNCT
cana-5405	85	47	=	=	SYM
cana-5405	85	48	1	1	NUM
cana-5405	85	49	,	,	PUNCT
cana-5405	85	50	lim	lim	PROPN
cana-5405	85	51	𝑛→∞	𝑛→∞	NUM
cana-5405	85	52	ℋ	ℋ	PROPN
cana-5405	85	53	(	(	PUNCT
cana-5405	85	54	fg𝜛n	fg𝜛n	NOUN
cana-5405	85	55	,	,	PUNCT
cana-5405	85	56	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	57	,	,	PUNCT
cana-5405	85	58	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	59	,	,	PUNCT
cana-5405	85	60	휁	휁	NOUN
cana-5405	85	61	)	)	PUNCT
cana-5405	85	62	=	=	SYM
cana-5405	85	63	0	0	PROPN
cana-5405	85	64	,	,	PUNCT
cana-5405	85	65	lim	lim	PROPN
cana-5405	85	66	𝑛→∞	𝑛→∞	NUM
cana-5405	85	67	𝒪	𝒪	PROPN
cana-5405	85	68	(	(	PUNCT
cana-5405	85	69	fg𝜛n	fg𝜛n	NOUN
cana-5405	85	70	,	,	PUNCT
cana-5405	85	71	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	72	,	,	PUNCT
cana-5405	85	73	gf𝜛n	gf𝜛n	NOUN
cana-5405	85	74	,	,	PUNCT
cana-5405	85	75	휁	휁	NOUN
cana-5405	85	76	)	)	PUNCT
cana-5405	85	77	=	=	SYM
cana-5405	85	78	0	0	PUNCT
cana-5405	86	1	whenever	whenever	SCONJ
cana-5405	86	2	{	{	PUNCT
cana-5405	86	3	𝜛n	𝜛n	PART
cana-5405	86	4	}	}	PUNCT
cana-5405	86	5	is	be	AUX
cana-5405	86	6	a	a	DET
cana-5405	86	7	sequence	sequence	NOUN
cana-5405	86	8	in	in	ADP
cana-5405	86	9	ξ	ξ	PROPN
cana-5405	86	10	such	such	ADJ
cana-5405	86	11	that	that	SCONJ
cana-5405	86	12	lim	lim	PROPN
cana-5405	86	13	𝑛→∞	𝑛→∞	NUM
cana-5405	86	14	f	f	X
cana-5405	86	15	𝜛n	𝜛n	PROPN
cana-5405	86	16	=	=	PROPN
cana-5405	86	17	lim	lim	PROPN
cana-5405	86	18	n→∞	n→∞	NUM
cana-5405	86	19	g	g	NOUN
cana-5405	86	20	𝜛n	𝜛n	ADP
cana-5405	86	21	=	=	PROPN
cana-5405	86	22	z	z	NOUN
cana-5405	86	23	for	for	ADP
cana-5405	86	24	some	some	DET
cana-5405	86	25	z	z	NOUN
cana-5405	86	26	∈ξ	∈ξ	NOUN
cana-5405	86	27	.	.	PUNCT
cana-5405	87	1	definition:2.10	definition:2.10	NOUN
cana-5405	87	2	[	[	X
cana-5405	87	3	20	20	NUM
cana-5405	87	4	]	]	SYM
cana-5405	87	5	two	two	NUM
cana-5405	87	6	self	self	NOUN
cana-5405	87	7	maps	map	NOUN
cana-5405	87	8	a	a	DET
cana-5405	87	9	,	,	PUNCT
cana-5405	87	10	s	s	PART
cana-5405	87	11	and	and	CCONJ
cana-5405	87	12	t	t	PROPN
cana-5405	87	13	of	of	ADP
cana-5405	87	14	a	a	DET
cana-5405	87	15	neutrosophic	neutrosophic	ADJ
cana-5405	87	16	metric	metric	ADJ
cana-5405	87	17	space	space	NOUN
cana-5405	87	18	(	(	PUNCT
cana-5405	87	19	ξ	ξ	PROPN
cana-5405	87	20	,	,	PUNCT
cana-5405	87	21	𝒬	𝒬	PROPN
cana-5405	87	22	,	,	PUNCT
cana-5405	87	23	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	87	24	*	*	PUNCT
cana-5405	87	25	,	,	PUNCT
cana-5405	87	26			PROPN
cana-5405	87	27	)	)	PUNCT
cana-5405	87	28	are	be	AUX
cana-5405	87	29	called	call	VERB
cana-5405	87	30	jointly	jointly	ADV
cana-5405	87	31	wcontinuous	wcontinuous	ADJ
cana-5405	87	32	if	if	SCONJ
cana-5405	87	33	there	there	PRON
cana-5405	87	34	exists	exist	VERB
cana-5405	87	35	a	a	DET
cana-5405	87	36	point	point	NOUN
cana-5405	88	1	𝜛	𝜛	X
cana-5405	88	2	∈	∈	PROPN
cana-5405	88	3	ξ	ξ	PRON
cana-5405	88	4	such	such	ADJ
cana-5405	88	5	that	that	SCONJ
cana-5405	88	6	if	if	SCONJ
cana-5405	88	7	lim	lim	PROPN
cana-5405	88	8	n→∞	n→∞	NUM
cana-5405	88	9	𝒬(𝜛n	𝒬(𝜛n	PROPN
cana-5405	88	10	,	,	PUNCT
cana-5405	88	11	𝜛	𝜛	PROPN
cana-5405	88	12	,	,	PUNCT
cana-5405	88	13	𝜛	𝜛	PROPN
cana-5405	88	14	,	,	PUNCT
cana-5405	88	15	휁	휁	NOUN
cana-5405	88	16	)	)	PUNCT
cana-5405	88	17	=	=	SYM
cana-5405	88	18	1	1	NUM
cana-5405	88	19	,	,	PUNCT
cana-5405	88	20	lim	lim	PROPN
cana-5405	88	21	n→∞	n→∞	NUM
cana-5405	88	22	ℋ(𝜛n	ℋ(𝜛n	PROPN
cana-5405	88	23	,	,	PUNCT
cana-5405	88	24	𝜛	𝜛	PROPN
cana-5405	88	25	,	,	PUNCT
cana-5405	88	26	𝜛	𝜛	PROPN
cana-5405	88	27	,	,	PUNCT
cana-5405	88	28	휁	휁	NOUN
cana-5405	88	29	)	)	PUNCT
cana-5405	88	30	=	=	SYM
cana-5405	88	31	0	0	NUM
cana-5405	88	32	lim	lim	PROPN
cana-5405	88	33	n→∞	n→∞	NUM
cana-5405	88	34	𝒪(𝜛n	𝒪(𝜛n	PROPN
cana-5405	88	35	,	,	PUNCT
cana-5405	88	36	𝜛	𝜛	PROPN
cana-5405	88	37	,	,	PUNCT
cana-5405	88	38	𝜛	𝜛	PROPN
cana-5405	88	39	,	,	PUNCT
cana-5405	88	40	휁	휁	NOUN
cana-5405	88	41	)	)	PUNCT
cana-5405	88	42	=	=	SYM
cana-5405	88	43	0	0	PUNCT
cana-5405	89	1	then	then	ADV
cana-5405	89	2	lim	lim	PROPN
cana-5405	89	3	n→∞	n→∞	X
cana-5405	89	4	𝒬(a𝜛n	𝒬(a𝜛n	NOUN
cana-5405	89	5	,	,	PUNCT
cana-5405	89	6	s𝜛	s𝜛	NOUN
cana-5405	89	7	,	,	PUNCT
cana-5405	89	8	s𝜛	s𝜛	NOUN
cana-5405	89	9	,	,	PUNCT
cana-5405	89	10	휁	휁	NOUN
cana-5405	89	11	)	)	PUNCT
cana-5405	89	12	=	=	SYM
cana-5405	89	13	1	1	NUM
cana-5405	89	14	,	,	PUNCT
cana-5405	89	15	lim	lim	PROPN
cana-5405	89	16	n→∞	n→∞	NUM
cana-5405	89	17	ℋ(a𝜛n	ℋ(a𝜛n	PROPN
cana-5405	89	18	,	,	PUNCT
cana-5405	89	19	s𝜛	s𝜛	NOUN
cana-5405	89	20	,	,	PUNCT
cana-5405	89	21	s𝜛	s𝜛	NOUN
cana-5405	89	22	,	,	PUNCT
cana-5405	89	23	휁	휁	NOUN
cana-5405	89	24	)	)	PUNCT
cana-5405	89	25	=	=	SYM
cana-5405	89	26	0	0	PROPN
cana-5405	89	27	,	,	PUNCT
cana-5405	89	28	lim	lim	PROPN
cana-5405	89	29	n→∞	n→∞	NUM
cana-5405	89	30	𝒪(a𝜛n	𝒪(a𝜛n	PROPN
cana-5405	89	31	,	,	PUNCT
cana-5405	89	32	s𝜛	s𝜛	NOUN
cana-5405	89	33	,	,	PUNCT
cana-5405	89	34	s𝜛	s𝜛	NOUN
cana-5405	89	35	,	,	PUNCT
cana-5405	89	36	휁	휁	NOUN
cana-5405	89	37	)	)	PUNCT
cana-5405	89	38	=	=	SYM
cana-5405	89	39	0	0	NUM
cana-5405	89	40	,	,	PUNCT
cana-5405	89	41	whenever	whenever	SCONJ
cana-5405	89	42	{	{	PUNCT
cana-5405	89	43	𝜛n	𝜛n	PART
cana-5405	89	44	}	}	PUNCT
cana-5405	89	45	is	be	AUX
cana-5405	89	46	a	a	DET
cana-5405	89	47	sequence	sequence	NOUN
cana-5405	89	48	in	in	ADP
cana-5405	89	49	ξ	ξ	PROPN
cana-5405	89	50	such	such	ADJ
cana-5405	89	51	that	that	SCONJ
cana-5405	89	52	lim	lim	PROPN
cana-5405	89	53	n→∞	n→∞	NUM
cana-5405	89	54	a𝜛n	a𝜛n	PROPN
cana-5405	89	55	=	=	SYM
cana-5405	89	56	lim	lim	PROPN
cana-5405	89	57	n→∞	n→∞	NUM
cana-5405	90	1	s𝜛n	s𝜛n	NOUN
cana-5405	91	1	=	=	X
cana-5405	91	2	p	p	NOUN
cana-5405	91	3	for	for	ADP
cana-5405	91	4	some	some	DET
cana-5405	91	5	p	p	NOUN
cana-5405	91	6	∈	∈	PROPN
cana-5405	91	7	ξ	ξ	PROPN
cana-5405	91	8	.	.	PUNCT
cana-5405	92	1	definition	definition	NOUN
cana-5405	92	2	:	:	PUNCT
cana-5405	92	3	2.11	2.11	NUM
cana-5405	92	4	[	[	SYM
cana-5405	92	5	20	20	NUM
cana-5405	92	6	]	]	PUNCT
cana-5405	92	7	let	let	VERB
cana-5405	92	8	the	the	DET
cana-5405	92	9	self	self	NOUN
cana-5405	92	10	maps	map	VERB
cana-5405	92	11	a	a	DET
cana-5405	92	12	,	,	PUNCT
cana-5405	92	13	s	s	PART
cana-5405	92	14	and	and	CCONJ
cana-5405	92	15	t	t	PROPN
cana-5405	92	16	of	of	ADP
cana-5405	92	17	a	a	DET
cana-5405	92	18	neutrosophic	neutrosophic	ADJ
cana-5405	92	19	metric	metric	ADJ
cana-5405	92	20	space	space	NOUN
cana-5405	92	21	(	(	PUNCT
cana-5405	92	22	ξ	ξ	PROPN
cana-5405	92	23	,	,	PUNCT
cana-5405	92	24	𝒬	𝒬	PROPN
cana-5405	92	25	,	,	PUNCT
cana-5405	92	26	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	92	27	*	*	PUNCT
cana-5405	92	28	,	,	PUNCT
cana-5405	92	29			PROPN
cana-5405	92	30	)	)	PUNCT
cana-5405	92	31	.	.	PUNCT
cana-5405	93	1	if	if	SCONJ
cana-5405	93	2	a	a	PRON
cana-5405	93	3	,	,	PUNCT
cana-5405	93	4	s	s	NOUN
cana-5405	93	5	and	and	CCONJ
cana-5405	93	6	t	t	PROPN
cana-5405	93	7	satisfy	satisfy	VERB
cana-5405	93	8	the	the	DET
cana-5405	93	9	following	follow	VERB
cana-5405	93	10	conditions	condition	NOUN
cana-5405	93	11	:	:	PUNCT
cana-5405	93	12	communications	communication	NOUN
cana-5405	93	13	on	on	ADP
cana-5405	93	14	applied	apply	VERB
cana-5405	93	15	nonlinear	nonlinear	ADJ
cana-5405	93	16	analysis	analysis	NOUN
cana-5405	93	17	issn	issn	NOUN
cana-5405	93	18	:	:	PUNCT
cana-5405	93	19	1074	1074	NUM
cana-5405	93	20	-	-	PUNCT
cana-5405	93	21	133x	133x	NUM
cana-5405	93	22	vol	vol	VERB
cana-5405	93	23	32	32	NUM
cana-5405	93	24	no	no	NOUN
cana-5405	93	25	.	.	PUNCT
cana-5405	94	1	10s	10	NOUN
cana-5405	94	2	(	(	PUNCT
cana-5405	94	3	2025	2025	NUM
cana-5405	94	4	)	)	PUNCT
cana-5405	94	5	2151	2151	NUM
cana-5405	94	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	94	7	there	there	PRON
cana-5405	94	8	exists	exist	VERB
cana-5405	94	9	a	a	DET
cana-5405	94	10	sequence	sequence	NOUN
cana-5405	94	11	{	{	PUNCT
cana-5405	94	12	𝜛	𝜛	NOUN
cana-5405	94	13	n	n	CCONJ
cana-5405	94	14	}	}	PUNCT
cana-5405	94	15	such	such	ADJ
cana-5405	94	16	that	that	SCONJ
cana-5405	94	17	lim	lim	PROPN
cana-5405	94	18	𝑛→∞	𝑛→∞	NUM
cana-5405	94	19	𝒬	𝒬	PROPN
cana-5405	94	20	(	(	PUNCT
cana-5405	94	21	a𝜛n	a𝜛n	PROPN
cana-5405	94	22	,	,	PUNCT
cana-5405	94	23	u	u	NOUN
cana-5405	94	24	,	,	PUNCT
cana-5405	94	25	u	u	NOUN
cana-5405	94	26	,	,	PUNCT
cana-5405	94	27	휁	휁	NOUN
cana-5405	94	28	)	)	PUNCT
cana-5405	94	29	=	=	SYM
cana-5405	94	30	lim	lim	PROPN
cana-5405	94	31	n→∞	n→∞	NUM
cana-5405	94	32	𝒬(s𝜛n	𝒬(s𝜛n	NUM
cana-5405	94	33	,	,	PUNCT
cana-5405	94	34	u	u	NOUN
cana-5405	94	35	,	,	PUNCT
cana-5405	94	36	u	u	NOUN
cana-5405	94	37	,	,	PUNCT
cana-5405	94	38	휁	휁	NOUN
cana-5405	94	39	)	)	PUNCT
cana-5405	94	40	=	=	SYM
cana-5405	94	41	lim	lim	PROPN
cana-5405	94	42	n→∞	n→∞	NUM
cana-5405	94	43	𝒬(t𝜛n	𝒬(t𝜛n	NUM
cana-5405	94	44	,	,	PUNCT
cana-5405	94	45	u	u	NOUN
cana-5405	94	46	,	,	PUNCT
cana-5405	94	47	u	u	NOUN
cana-5405	94	48	,	,	PUNCT
cana-5405	94	49	휁	휁	NOUN
cana-5405	94	50	)	)	PUNCT
cana-5405	94	51	=	=	SYM
cana-5405	94	52	1	1	NUM
cana-5405	94	53	lim	lim	NOUN
cana-5405	94	54	𝑛→∞	𝑛→∞	NUM
cana-5405	94	55	ℋ	ℋ	PROPN
cana-5405	94	56	(	(	PUNCT
cana-5405	94	57	a𝜛n	a𝜛n	PROPN
cana-5405	94	58	,	,	PUNCT
cana-5405	94	59	u	u	NOUN
cana-5405	94	60	,	,	PUNCT
cana-5405	94	61	u	u	NOUN
cana-5405	94	62	,	,	PUNCT
cana-5405	94	63	휁	휁	NOUN
cana-5405	94	64	)	)	PUNCT
cana-5405	94	65	=	=	SYM
cana-5405	94	66	lim	lim	PROPN
cana-5405	94	67	n→∞	n→∞	NUM
cana-5405	94	68	ℋ(s𝜛n	ℋ(s𝜛n	NUM
cana-5405	94	69	,	,	PUNCT
cana-5405	94	70	u	u	NOUN
cana-5405	94	71	,	,	PUNCT
cana-5405	94	72	u	u	NOUN
cana-5405	94	73	,	,	PUNCT
cana-5405	94	74	휁	휁	NOUN
cana-5405	94	75	)	)	PUNCT
cana-5405	94	76	=	=	SYM
cana-5405	94	77	1	1	NUM
cana-5405	94	78	lim	lim	NOUN
cana-5405	94	79	n→∞	n→∞	X
cana-5405	94	80	ℋ(t𝜛n	ℋ(t𝜛n	NUM
cana-5405	94	81	,	,	PUNCT
cana-5405	94	82	u	u	NOUN
cana-5405	94	83	,	,	PUNCT
cana-5405	94	84	u	u	NOUN
cana-5405	94	85	,	,	PUNCT
cana-5405	94	86	휁	휁	NOUN
cana-5405	94	87	)	)	PUNCT
cana-5405	95	1	=	=	SYM
cana-5405	95	2	0	0	NUM
cana-5405	95	3	lim	lim	NOUN
cana-5405	95	4	𝑛→∞	𝑛→∞	NUM
cana-5405	95	5	𝒪	𝒪	PROPN
cana-5405	95	6	(	(	PUNCT
cana-5405	95	7	a𝜛n	a𝜛n	PROPN
cana-5405	95	8	,	,	PUNCT
cana-5405	95	9	u	u	NOUN
cana-5405	95	10	,	,	PUNCT
cana-5405	95	11	u	u	NOUN
cana-5405	95	12	,	,	PUNCT
cana-5405	95	13	휁	휁	NOUN
cana-5405	95	14	)	)	PUNCT
cana-5405	96	1	=	=	SYM
cana-5405	96	2	lim	lim	PROPN
cana-5405	96	3	n→∞	n→∞	X
cana-5405	97	1	𝒪	𝒪	PROPN
cana-5405	97	2	(	(	PUNCT
cana-5405	97	3	s𝜛n	s𝜛n	NOUN
cana-5405	97	4	,	,	PUNCT
cana-5405	97	5	u	u	NOUN
cana-5405	97	6	,	,	PUNCT
cana-5405	97	7	u	u	NOUN
cana-5405	97	8	,	,	PUNCT
cana-5405	97	9	휁	휁	NOUN
cana-5405	97	10	)	)	PUNCT
cana-5405	97	11	=	=	SYM
cana-5405	97	12	1	1	NUM
cana-5405	97	13	lim	lim	NOUN
cana-5405	97	14	n→∞	n→∞	X
cana-5405	97	15	𝒪	𝒪	PROPN
cana-5405	97	16	(	(	PUNCT
cana-5405	97	17	t𝜛n	t𝜛n	ADJ
cana-5405	97	18	,	,	PUNCT
cana-5405	97	19	u	u	NOUN
cana-5405	97	20	,	,	PUNCT
cana-5405	97	21	u	u	NOUN
cana-5405	97	22	,	,	PUNCT
cana-5405	97	23	휁	휁	NOUN
cana-5405	97	24	)	)	PUNCT
cana-5405	97	25	=	=	SYM
cana-5405	97	26	0	0	NUM
cana-5405	97	27	for	for	ADP
cana-5405	97	28	some	some	DET
cana-5405	97	29	u	u	NOUN
cana-5405	97	30	∈	∈	PROPN
cana-5405	97	31	ξ	ξ	PROPN
cana-5405	97	32	and	and	CCONJ
cana-5405	97	33	휁	휁	X
cana-5405	97	34	>	>	X
cana-5405	97	35	0	0	NUM
cana-5405	97	36	,	,	PUNCT
cana-5405	97	37	we	we	PRON
cana-5405	97	38	say	say	VERB
cana-5405	97	39	that	that	SCONJ
cana-5405	97	40	a	a	DET
cana-5405	97	41	,	,	PUNCT
cana-5405	97	42	s	s	PART
cana-5405	97	43	and	and	CCONJ
cana-5405	97	44	t	t	PROPN
cana-5405	97	45	have	have	VERB
cana-5405	97	46	the	the	DET
cana-5405	97	47	property	property	NOUN
cana-5405	97	48	(	(	PUNCT
cana-5405	97	49	e.a	e.a	PROPN
cana-5405	97	50	)	)	PUNCT
cana-5405	97	51	.	.	PUNCT
cana-5405	98	1	lemma	lemma	PROPN
cana-5405	98	2	:	:	PUNCT
cana-5405	99	1	2.12	2.12	NUM
cana-5405	99	2	[	[	SYM
cana-5405	99	3	20	20	NUM
cana-5405	99	4	]	]	PUNCT
cana-5405	99	5	let	let	VERB
cana-5405	99	6	(	(	PUNCT
cana-5405	99	7	ξ	ξ	X
cana-5405	99	8	,	,	PUNCT
cana-5405	99	9	𝒬	𝒬	PROPN
cana-5405	99	10	,	,	PUNCT
cana-5405	99	11	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	99	12	*	*	PUNCT
cana-5405	99	13	,	,	PUNCT
cana-5405	99	14			PROPN
cana-5405	99	15	)	)	PUNCT
cana-5405	99	16	be	be	VERB
cana-5405	99	17	a	a	DET
cana-5405	99	18	neutrosophic	neutrosophic	ADJ
cana-5405	99	19	metric	metric	ADJ
cana-5405	99	20	space	space	NOUN
cana-5405	99	21	.	.	PUNCT
cana-5405	100	1	then	then	ADV
cana-5405	100	2	,	,	PUNCT
cana-5405	100	3	𝒬	𝒬	PROPN
cana-5405	100	4	,	,	PUNCT
cana-5405	100	5	ℋ	ℋ	PROPN
cana-5405	100	6	,	,	PUNCT
cana-5405	100	7	𝒪	𝒪	PROPN
cana-5405	100	8	are	be	AUX
cana-5405	100	9	continuous	continuous	ADJ
cana-5405	100	10	function	function	NOUN
cana-5405	100	11	on	on	ADP
cana-5405	100	12	ξ	ξ	PROPN
cana-5405	100	13	3	3	NUM
cana-5405	100	14	x	x	SYM
cana-5405	100	15	(	(	PUNCT
cana-5405	100	16	0	0	NUM
cana-5405	100	17	,	,	PUNCT
cana-5405	100	18	∞	∞	PROPN
cana-5405	100	19	)	)	PUNCT
cana-5405	100	20	.	.	PUNCT
cana-5405	101	1	proof	proof	NOUN
cana-5405	101	2	:	:	PUNCT
cana-5405	101	3	since	since	SCONJ
cana-5405	101	4	lim	lim	PROPN
cana-5405	101	5	n→∞	n→∞	X
cana-5405	101	6	𝜛	𝜛	PROPN
cana-5405	101	7	n=	n=	PROPN
cana-5405	101	8	𝜛	𝜛	PROPN
cana-5405	101	9	;	;	PUNCT
cana-5405	101	10	lim	lim	PROPN
cana-5405	101	11	n→∞	n→∞	PRON
cana-5405	101	12	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	101	13	=	=	PUNCT
cana-5405	101	14	𝜔	𝜔	NOUN
cana-5405	101	15	;	;	PUNCT
cana-5405	101	16	lim	lim	PROPN
cana-5405	101	17	n→∞	n→∞	PRON
cana-5405	101	18	𝜏𝑛	𝜏𝑛	ADP
cana-5405	101	19	=	=	PUNCT
cana-5405	101	20	𝜏	𝜏	PRON
cana-5405	101	21	lim	lim	NOUN
cana-5405	101	22	𝑛→∞	𝑛→∞	NUM
cana-5405	101	23	𝒬	𝒬	PROPN
cana-5405	101	24	(	(	PUNCT
cana-5405	101	25	𝜛	𝜛	PROPN
cana-5405	101	26	,	,	PUNCT
cana-5405	101	27	𝜔	𝜔	ADP
cana-5405	101	28	,	,	PUNCT
cana-5405	101	29	𝜏	𝜏	NOUN
cana-5405	101	30	,	,	PUNCT
cana-5405	101	31	휁𝑛	휁𝑛	NOUN
cana-5405	101	32	)	)	PUNCT
cana-5405	101	33	=	=	SYM
cana-5405	101	34	𝒬	𝒬	PROPN
cana-5405	101	35	(	(	PUNCT
cana-5405	101	36	𝜛	𝜛	PROPN
cana-5405	101	37	,	,	PUNCT
cana-5405	101	38	𝜔	𝜔	ADP
cana-5405	101	39	,	,	PUNCT
cana-5405	101	40	𝜏	𝜏	NOUN
cana-5405	101	41	,	,	PUNCT
cana-5405	101	42	휁	휁	NOUN
cana-5405	101	43	)	)	PUNCT
cana-5405	101	44	and	and	CCONJ
cana-5405	101	45	lim	lim	PROPN
cana-5405	101	46	𝑛→∞	𝑛→∞	NUM
cana-5405	101	47	ℋ	ℋ	PROPN
cana-5405	101	48	(	(	PUNCT
cana-5405	101	49	𝜛	𝜛	PROPN
cana-5405	101	50	,	,	PUNCT
cana-5405	101	51	𝜔	𝜔	ADP
cana-5405	101	52	,	,	PUNCT
cana-5405	101	53	𝜏	𝜏	NOUN
cana-5405	101	54	,	,	PUNCT
cana-5405	101	55	휁𝑛	휁𝑛	NOUN
cana-5405	101	56	)	)	PUNCT
cana-5405	101	57	=	=	SYM
cana-5405	101	58	ℋ	ℋ	PROPN
cana-5405	101	59	(	(	PUNCT
cana-5405	101	60	𝜛	𝜛	PROPN
cana-5405	101	61	,	,	PUNCT
cana-5405	101	62	𝜔	𝜔	ADP
cana-5405	101	63	,	,	PUNCT
cana-5405	101	64	𝜏	𝜏	NOUN
cana-5405	101	65	,	,	PUNCT
cana-5405	101	66	휁	휁	NOUN
cana-5405	101	67	)	)	PUNCT
cana-5405	101	68	lim	lim	NOUN
cana-5405	101	69	𝑛→∞	𝑛→∞	NUM
cana-5405	101	70	𝒪	𝒪	PROPN
cana-5405	101	71	(	(	PUNCT
cana-5405	101	72	𝜛	𝜛	PROPN
cana-5405	101	73	,	,	PUNCT
cana-5405	101	74	𝜔	𝜔	ADP
cana-5405	101	75	,	,	PUNCT
cana-5405	101	76	𝜏	𝜏	NOUN
cana-5405	101	77	,	,	PUNCT
cana-5405	101	78	휁𝑛	휁𝑛	NOUN
cana-5405	101	79	)	)	PUNCT
cana-5405	101	80	=	=	SYM
cana-5405	101	81	𝒪	𝒪	PROPN
cana-5405	101	82	(	(	PUNCT
cana-5405	101	83	𝜛	𝜛	PROPN
cana-5405	101	84	,	,	PUNCT
cana-5405	101	85	𝜔	𝜔	ADP
cana-5405	101	86	,	,	PUNCT
cana-5405	101	87	𝜏	𝜏	NOUN
cana-5405	101	88	,	,	PUNCT
cana-5405	101	89	휁	휁	NOUN
cana-5405	101	90	)	)	PUNCT
cana-5405	101	91	there	there	PRON
cana-5405	101	92	is	be	VERB
cana-5405	101	93	ϑ0	ϑ0	PROPN
cana-5405	101	94	∈	∈	NOUN
cana-5405	101	95	n	n	PRON
cana-5405	101	96	such	such	ADJ
cana-5405	101	97	that	that	SCONJ
cana-5405	101	98	|휁	|휁	NOUN
cana-5405	102	1	−	−	PROPN
cana-5405	102	2	휁𝑛|	휁𝑛|	PROPN
cana-5405	102	3	<	<	X
cana-5405	102	4	휀	휀	NOUN
cana-5405	102	5	and	and	CCONJ
cana-5405	102	6	|휁	|휁	PROPN
cana-5405	103	1	−	−	PROPN
cana-5405	103	2	휁𝑛|	휁𝑛|	PROPN
cana-5405	103	3	>	>	X
cana-5405	103	4	𝛿	𝛿	PROPN
cana-5405	103	5	for	for	ADP
cana-5405	103	6	ϑ	ϑ	PRON
cana-5405	103	7	≥	≥	NOUN
cana-5405	103	8	ϑ0	ϑ0	NOUN
cana-5405	103	9	and	and	CCONJ
cana-5405	103	10	휀	휀	X
cana-5405	103	11	<	<	X
cana-5405	103	12	휁	휁	X
cana-5405	103	13	2⁄	2⁄	NUM
cana-5405	103	14	and	and	CCONJ
cana-5405	103	15	𝛿	𝛿	ADJ
cana-5405	103	16	>	>	X
cana-5405	103	17	휁	휁	X
cana-5405	103	18	2⁄	2⁄	NUM
cana-5405	103	19	we	we	PRON
cana-5405	103	20	know	know	VERB
cana-5405	103	21	that	that	SCONJ
cana-5405	103	22	𝒬	𝒬	PROPN
cana-5405	103	23	(	(	PUNCT
cana-5405	103	24	𝜛	𝜛	PROPN
cana-5405	103	25	,	,	PUNCT
cana-5405	103	26	𝜔	𝜔	ADP
cana-5405	103	27	,	,	PUNCT
cana-5405	103	28	𝜏	𝜏	NOUN
cana-5405	103	29	,	,	PUNCT
cana-5405	103	30	휁	휁	NOUN
cana-5405	103	31	)	)	PUNCT
cana-5405	103	32	is	be	AUX
cana-5405	103	33	non	non	ADJ
cana-5405	103	34	-	-	ADJ
cana-5405	103	35	decreasing	decrease	VERB
cana-5405	103	36	and	and	CCONJ
cana-5405	103	37	ℋ	ℋ	PROPN
cana-5405	103	38	(	(	PUNCT
cana-5405	103	39	𝜛	𝜛	PROPN
cana-5405	103	40	,	,	PUNCT
cana-5405	103	41	𝜔	𝜔	ADP
cana-5405	103	42	,	,	PUNCT
cana-5405	103	43	𝜏	𝜏	NOUN
cana-5405	103	44	,	,	PUNCT
cana-5405	103	45	휁	휁	NOUN
cana-5405	103	46	)	)	PUNCT
cana-5405	103	47	,	,	PUNCT
cana-5405	103	48	𝒪	𝒪	PROPN
cana-5405	103	49	(	(	PUNCT
cana-5405	103	50	𝜛	𝜛	PROPN
cana-5405	103	51	,	,	PUNCT
cana-5405	103	52	𝜔	𝜔	ADP
cana-5405	103	53	,	,	PUNCT
cana-5405	103	54	𝜏	𝜏	NOUN
cana-5405	103	55	,	,	PUNCT
cana-5405	103	56	휁	휁	NOUN
cana-5405	103	57	)	)	PUNCT
cana-5405	103	58	is	be	AUX
cana-5405	103	59	nonincreasing	nonincrease	VERB
cana-5405	103	60	with	with	ADP
cana-5405	103	61	respect	respect	NOUN
cana-5405	103	62	to	to	ADP
cana-5405	103	63	휁	휁	NOUN
cana-5405	103	64	,	,	PUNCT
cana-5405	103	65	so	so	ADV
cana-5405	103	66	,	,	PUNCT
cana-5405	103	67	we	we	PRON
cana-5405	103	68	have	have	VERB
cana-5405	103	69	𝒬	𝒬	PROPN
cana-5405	103	70	(	(	PUNCT
cana-5405	103	71	𝜛n	𝜛n	INTJ
cana-5405	103	72	,	,	PUNCT
cana-5405	103	73	𝜔n	𝜔n	NOUN
cana-5405	103	74	,	,	PUNCT
cana-5405	103	75	𝜏n	𝜏n	ADP
cana-5405	103	76	,	,	PUNCT
cana-5405	103	77	휁	휁	NOUN
cana-5405	103	78	)	)	PUNCT
cana-5405	103	79	≥	≥	NOUN
cana-5405	104	1	𝒬	𝒬	PROPN
cana-5405	104	2	(	(	PUNCT
cana-5405	104	3	𝜛n	𝜛n	INTJ
cana-5405	104	4	,	,	PUNCT
cana-5405	104	5	𝜔n	𝜔n	NOUN
cana-5405	104	6	,	,	PUNCT
cana-5405	104	7	𝜏n	𝜏n	NOUN
cana-5405	104	8	,	,	PUNCT
cana-5405	104	9	휁휀	휁휀	PROPN
cana-5405	104	10	)	)	PUNCT
cana-5405	104	11	≥	≥	NOUN
cana-5405	104	12	𝒬	𝒬	PROPN
cana-5405	104	13	(	(	PUNCT
cana-5405	104	14	𝜛n	𝜛n	ADP
cana-5405	104	15	,	,	PUNCT
cana-5405	104	16	𝜛	𝜛	PROPN
cana-5405	104	17	,	,	PUNCT
cana-5405	104	18	𝜛	𝜛	PROPN
cana-5405	104	19	,	,	PUNCT
cana-5405	104	20	ε	ε	PROPN
cana-5405	104	21	3	3	NUM
cana-5405	104	22	)	)	PUNCT
cana-5405	104	23	∗	∗	NOUN
cana-5405	104	24	𝒬	𝒬	PROPN
cana-5405	104	25	(	(	PUNCT
cana-5405	104	26	𝜛	𝜛	PROPN
cana-5405	104	27	,	,	PUNCT
cana-5405	104	28	𝜔n	𝜔n	NOUN
cana-5405	104	29	,	,	PUNCT
cana-5405	104	30	𝜏n	𝜏n	ADP
cana-5405	104	31	,	,	PUNCT
cana-5405	104	32	휁	휁	NOUN
cana-5405	104	33	4ε	4ε	NUM
cana-5405	104	34	3	3	NUM
cana-5405	104	35	)	)	PUNCT
cana-5405	104	36	≥	≥	NOUN
cana-5405	104	37	𝒬	𝒬	PROPN
cana-5405	104	38	(	(	PUNCT
cana-5405	104	39	𝜛	𝜛	NOUN
cana-5405	104	40	n	n	CCONJ
cana-5405	104	41	,	,	PUNCT
cana-5405	104	42	𝜛	𝜛	PROPN
cana-5405	104	43	,	,	PUNCT
cana-5405	104	44	𝜛	𝜛	PROPN
cana-5405	104	45	,	,	PUNCT
cana-5405	104	46	ε	ε	PROPN
cana-5405	104	47	3	3	NUM
cana-5405	104	48	)	)	PUNCT
cana-5405	104	49	∗	∗	NOUN
cana-5405	104	50	𝒬	𝒬	PROPN
cana-5405	104	51	(	(	PUNCT
cana-5405	104	52	𝜔n	𝜔n	PROPN
cana-5405	104	53	,	,	PUNCT
cana-5405	104	54	𝜔	𝜔	PRON
cana-5405	104	55	,	,	PUNCT
cana-5405	104	56	𝜔	𝜔	VERB
cana-5405	104	57	,	,	PUNCT
cana-5405	104	58	ε	ε	PROPN
cana-5405	104	59	3	3	NUM
cana-5405	104	60	)	)	PUNCT
cana-5405	104	61	∗	∗	NOUN
cana-5405	104	62	𝒬	𝒬	PROPN
cana-5405	104	63	(	(	PUNCT
cana-5405	104	64	𝜔	𝜔	PROPN
cana-5405	104	65	,	,	PUNCT
cana-5405	104	66	𝜛	𝜛	INTJ
cana-5405	104	67	,	,	PUNCT
cana-5405	104	68	𝜏n	𝜏n	ADP
cana-5405	104	69	,	,	PUNCT
cana-5405	104	70	휁	휁	PRON
cana-5405	104	71	5ε	5ε	NUM
cana-5405	104	72	3	3	NUM
cana-5405	104	73	)	)	PUNCT
cana-5405	104	74	≥	≥	NOUN
cana-5405	104	75	𝒬	𝒬	PROPN
cana-5405	104	76	(	(	PUNCT
cana-5405	104	77	𝜛n	𝜛n	ADP
cana-5405	104	78	,	,	PUNCT
cana-5405	104	79	𝜛	𝜛	PROPN
cana-5405	104	80	,	,	PUNCT
cana-5405	104	81	𝜛	𝜛	PROPN
cana-5405	104	82	,	,	PUNCT
cana-5405	104	83	ε	ε	PROPN
cana-5405	104	84	3	3	NUM
cana-5405	104	85	)	)	PUNCT
cana-5405	104	86	∗	∗	NOUN
cana-5405	104	87	𝒬	𝒬	PROPN
cana-5405	104	88	(	(	PUNCT
cana-5405	104	89	𝜔n	𝜔n	PROPN
cana-5405	104	90	,	,	PUNCT
cana-5405	104	91	𝜔	𝜔	PRON
cana-5405	104	92	,	,	PUNCT
cana-5405	104	93	𝜔	𝜔	VERB
cana-5405	104	94	,	,	PUNCT
cana-5405	104	95	ε	ε	PROPN
cana-5405	104	96	3	3	NUM
cana-5405	104	97	)	)	PUNCT
cana-5405	104	98	∗	∗	NOUN
cana-5405	104	99	𝒬	𝒬	PROPN
cana-5405	104	100	(	(	PUNCT
cana-5405	104	101	𝜏n	𝜏n	PROPN
cana-5405	104	102	,	,	PUNCT
cana-5405	104	103	𝜏	𝜏	NOUN
cana-5405	104	104	,	,	PUNCT
cana-5405	104	105	𝜏	𝜏	NOUN
cana-5405	104	106	,	,	PUNCT
cana-5405	104	107	ε	ε	PROPN
cana-5405	104	108	3	3	NUM
cana-5405	104	109	)	)	PUNCT
cana-5405	104	110	∗	∗	NOUN
cana-5405	104	111	𝒬	𝒬	PROPN
cana-5405	104	112	(	(	PUNCT
cana-5405	104	113	𝜏	𝜏	PROPN
cana-5405	104	114	,	,	PUNCT
cana-5405	104	115	𝜔	𝜔	NOUN
cana-5405	104	116	,	,	PUNCT
cana-5405	104	117	𝜏	𝜏	NOUN
cana-5405	104	118	,	,	PUNCT
cana-5405	104	119	휁	휁	NOUN
cana-5405	104	120	2휀	2휀	NUM
cana-5405	104	121	)	)	PUNCT
cana-5405	104	122	and	and	CCONJ
cana-5405	104	123	ℋ	ℋ	PROPN
cana-5405	104	124	(	(	PUNCT
cana-5405	104	125	𝜛n	𝜛n	INTJ
cana-5405	104	126	,	,	PUNCT
cana-5405	104	127	𝜔n	𝜔n	NOUN
cana-5405	104	128	,	,	PUNCT
cana-5405	104	129	𝜏n	𝜏n	ADP
cana-5405	104	130	,	,	PUNCT
cana-5405	104	131	휁	휁	NOUN
cana-5405	104	132	)	)	PUNCT
cana-5405	104	133	≤	≤	NOUN
cana-5405	104	134	ℋ	ℋ	PROPN
cana-5405	104	135	(	(	PUNCT
cana-5405	104	136	𝜛n	𝜛n	INTJ
cana-5405	104	137	,	,	PUNCT
cana-5405	104	138	𝜔n	𝜔n	NOUN
cana-5405	104	139	,	,	PUNCT
cana-5405	104	140	𝜏n	𝜏n	ADP
cana-5405	104	141	,	,	PUNCT
cana-5405	104	142	휁𝛿	휁𝛿	NOUN
cana-5405	104	143	)	)	PUNCT
cana-5405	104	144	≤	≤	NUM
cana-5405	104	145	ℋ(𝜛n	ℋ(𝜛n	NUM
cana-5405	104	146	,	,	PUNCT
cana-5405	104	147	𝜛	𝜛	PROPN
cana-5405	104	148	,	,	PUNCT
cana-5405	104	149	𝜛	𝜛	PROPN
cana-5405	104	150	,	,	PUNCT
cana-5405	104	151	𝛿	𝛿	PRON
cana-5405	104	152	3	3	NUM
cana-5405	104	153	)	)	PUNCT
cana-5405	104	154	◊	◊	PROPN
cana-5405	104	155	𝒬	𝒬	NOUN
cana-5405	104	156	(	(	PUNCT
cana-5405	104	157	𝜛	𝜛	PROPN
cana-5405	104	158	,	,	PUNCT
cana-5405	104	159	𝜔n	𝜔n	NOUN
cana-5405	104	160	,	,	PUNCT
cana-5405	104	161	𝜏n	𝜏n	ADP
cana-5405	104	162	,	,	PUNCT
cana-5405	104	163	휁	휁	PRON
cana-5405	104	164	4𝛿	4𝛿	NOUN
cana-5405	104	165	3	3	NUM
cana-5405	104	166	)	)	PUNCT
cana-5405	104	167	≤	≤	NOUN
cana-5405	104	168	ℋ	ℋ	PROPN
cana-5405	104	169	(	(	PUNCT
cana-5405	104	170	𝜛	𝜛	NOUN
cana-5405	104	171	n	n	CCONJ
cana-5405	104	172	,	,	PUNCT
cana-5405	104	173	𝜛	𝜛	PROPN
cana-5405	104	174	,	,	PUNCT
cana-5405	104	175	𝜛	𝜛	PROPN
cana-5405	104	176	,	,	PUNCT
cana-5405	104	177	𝛿	𝛿	PRON
cana-5405	104	178	3	3	NUM
cana-5405	104	179	)	)	PUNCT
cana-5405	104	180	◊	◊	PROPN
cana-5405	104	181	ℋ	ℋ	PROPN
cana-5405	104	182	(	(	PUNCT
cana-5405	104	183	𝜔n	𝜔n	PROPN
cana-5405	104	184	,	,	PUNCT
cana-5405	104	185	𝜔	𝜔	NOUN
cana-5405	104	186	,	,	PUNCT
cana-5405	104	187	𝜔	𝜔	ADP
cana-5405	104	188	,	,	PUNCT
cana-5405	104	189	𝛿	𝛿	PRON
cana-5405	104	190	3	3	NUM
cana-5405	104	191	)	)	PUNCT
cana-5405	104	192	◊	◊	PROPN
cana-5405	104	193	ℋ	ℋ	PROPN
cana-5405	104	194	(	(	PUNCT
cana-5405	104	195	𝜔	𝜔	PROPN
cana-5405	104	196	,	,	PUNCT
cana-5405	104	197	𝜛	𝜛	INTJ
cana-5405	104	198	,	,	PUNCT
cana-5405	104	199	𝜏n	𝜏n	ADP
cana-5405	104	200	,	,	PUNCT
cana-5405	104	201	휁	휁	PRON
cana-5405	104	202	5𝛿	5𝛿	NUM
cana-5405	104	203	3	3	NUM
cana-5405	104	204	)	)	PUNCT
cana-5405	105	1	≤	≤	NOUN
cana-5405	105	2	ℋ	ℋ	PROPN
cana-5405	105	3	(	(	PUNCT
cana-5405	105	4	𝜛n	𝜛n	PROPN
cana-5405	105	5	,	,	PUNCT
cana-5405	105	6	𝜛	𝜛	PROPN
cana-5405	105	7	,	,	PUNCT
cana-5405	105	8	𝜛	𝜛	PROPN
cana-5405	105	9	,	,	PUNCT
cana-5405	105	10	𝛿	𝛿	PRON
cana-5405	105	11	3	3	NUM
cana-5405	105	12	)	)	PUNCT
cana-5405	105	13	◊	◊	PROPN
cana-5405	105	14	ℋ	ℋ	PROPN
cana-5405	105	15	(	(	PUNCT
cana-5405	105	16	𝜔n	𝜔n	PROPN
cana-5405	105	17	,	,	PUNCT
cana-5405	105	18	𝜔	𝜔	NOUN
cana-5405	105	19	,	,	PUNCT
cana-5405	105	20	𝜔	𝜔	ADP
cana-5405	105	21	,	,	PUNCT
cana-5405	105	22	𝛿	𝛿	PRON
cana-5405	105	23	3	3	NUM
cana-5405	105	24	)	)	PUNCT
cana-5405	105	25	◊	◊	PROPN
cana-5405	105	26	ℋ	ℋ	PROPN
cana-5405	105	27	(	(	PUNCT
cana-5405	105	28	𝜏n	𝜏n	ADP
cana-5405	105	29	,	,	PUNCT
cana-5405	105	30	𝜏	𝜏	NOUN
cana-5405	105	31	,	,	PUNCT
cana-5405	105	32	𝜏	𝜏	NOUN
cana-5405	105	33	,	,	PUNCT
cana-5405	105	34	𝛿	𝛿	ADJ
cana-5405	105	35	3	3	NUM
cana-5405	105	36	)	)	PUNCT
cana-5405	105	37	◊	◊	PROPN
cana-5405	105	38	ℋ	ℋ	PROPN
cana-5405	105	39	(	(	PUNCT
cana-5405	105	40	𝜏	𝜏	PROPN
cana-5405	105	41	,	,	PUNCT
cana-5405	105	42	𝜔	𝜔	NOUN
cana-5405	105	43	,	,	PUNCT
cana-5405	105	44	𝜏	𝜏	NOUN
cana-5405	105	45	,	,	PUNCT
cana-5405	105	46	휁	휁	NOUN
cana-5405	105	47	2𝛿	2𝛿	NOUN
cana-5405	105	48	)	)	PUNCT
cana-5405	105	49	𝒪	𝒪	PROPN
cana-5405	105	50	(	(	PUNCT
cana-5405	105	51	𝜛n	𝜛n	INTJ
cana-5405	105	52	,	,	PUNCT
cana-5405	105	53	𝜔n	𝜔n	NOUN
cana-5405	105	54	,	,	PUNCT
cana-5405	105	55	𝜏n	𝜏n	ADP
cana-5405	105	56	,	,	PUNCT
cana-5405	105	57	휁	휁	NOUN
cana-5405	105	58	)	)	PUNCT
cana-5405	105	59	≤	≤	NOUN
cana-5405	105	60	𝒪	𝒪	PROPN
cana-5405	105	61	(	(	PUNCT
cana-5405	105	62	𝜛n	𝜛n	INTJ
cana-5405	105	63	,	,	PUNCT
cana-5405	105	64	𝜔n	𝜔n	NOUN
cana-5405	105	65	,	,	PUNCT
cana-5405	105	66	𝜏n	𝜏n	ADP
cana-5405	105	67	,	,	PUNCT
cana-5405	105	68	휁𝛿	휁𝛿	NOUN
cana-5405	105	69	)	)	PUNCT
cana-5405	105	70	communications	communication	NOUN
cana-5405	105	71	on	on	ADP
cana-5405	105	72	applied	apply	VERB
cana-5405	105	73	nonlinear	nonlinear	ADJ
cana-5405	105	74	analysis	analysis	NOUN
cana-5405	105	75	issn	issn	NOUN
cana-5405	105	76	:	:	PUNCT
cana-5405	105	77	1074	1074	NUM
cana-5405	105	78	-	-	PUNCT
cana-5405	105	79	133x	133x	NUM
cana-5405	105	80	vol	vol	VERB
cana-5405	105	81	32	32	NUM
cana-5405	105	82	no	no	NOUN
cana-5405	105	83	.	.	PUNCT
cana-5405	106	1	10s	10	NOUN
cana-5405	106	2	(	(	PUNCT
cana-5405	106	3	2025	2025	NUM
cana-5405	106	4	)	)	PUNCT
cana-5405	106	5	2152	2152	NUM
cana-5405	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	106	7	≤	≤	ADJ
cana-5405	106	8	𝒪	𝒪	PROPN
cana-5405	106	9	(	(	PUNCT
cana-5405	106	10	𝜛n	𝜛n	ADP
cana-5405	106	11	,	,	PUNCT
cana-5405	106	12	𝜛	𝜛	PROPN
cana-5405	106	13	,	,	PUNCT
cana-5405	106	14	𝜛	𝜛	PROPN
cana-5405	106	15	,	,	PUNCT
cana-5405	106	16	𝛿	𝛿	PRON
cana-5405	106	17	3	3	NUM
cana-5405	106	18	)	)	PUNCT
cana-5405	106	19	◊	◊	PROPN
cana-5405	106	20	𝒪	𝒪	PROPN
cana-5405	106	21	(	(	PUNCT
cana-5405	106	22	𝜛	𝜛	NOUN
cana-5405	106	23	,	,	PUNCT
cana-5405	106	24	𝜔n	𝜔n	NOUN
cana-5405	106	25	,	,	PUNCT
cana-5405	106	26	𝜏n	𝜏n	ADP
cana-5405	106	27	,	,	PUNCT
cana-5405	106	28	휁	휁	PRON
cana-5405	106	29	4𝛿	4𝛿	NOUN
cana-5405	106	30	3	3	NUM
cana-5405	106	31	)	)	PUNCT
cana-5405	106	32	≤	≤	NOUN
cana-5405	106	33	𝒪	𝒪	PROPN
cana-5405	106	34	(	(	PUNCT
cana-5405	106	35	𝜛	𝜛	NOUN
cana-5405	106	36	n	n	CCONJ
cana-5405	106	37	,	,	PUNCT
cana-5405	106	38	𝜛	𝜛	PROPN
cana-5405	106	39	,	,	PUNCT
cana-5405	106	40	𝜛	𝜛	PROPN
cana-5405	106	41	,	,	PUNCT
cana-5405	106	42	𝛿	𝛿	PRON
cana-5405	106	43	3	3	NUM
cana-5405	106	44	)	)	PUNCT
cana-5405	106	45	◊	◊	PROPN
cana-5405	106	46	𝒪	𝒪	PROPN
cana-5405	106	47	(	(	PUNCT
cana-5405	106	48	𝜔n	𝜔n	NOUN
cana-5405	106	49	,	,	PUNCT
cana-5405	106	50	𝜔	𝜔	NOUN
cana-5405	106	51	,	,	PUNCT
cana-5405	106	52	𝜔	𝜔	ADP
cana-5405	106	53	,	,	PUNCT
cana-5405	106	54	𝛿	𝛿	PRON
cana-5405	106	55	3	3	NUM
cana-5405	106	56	)	)	PUNCT
cana-5405	106	57	◊	◊	PROPN
cana-5405	106	58	𝒪	𝒪	PROPN
cana-5405	106	59	(	(	PUNCT
cana-5405	106	60	𝜔	𝜔	PROPN
cana-5405	106	61	,	,	PUNCT
cana-5405	106	62	𝜛	𝜛	INTJ
cana-5405	106	63	,	,	PUNCT
cana-5405	106	64	𝜏n	𝜏n	ADP
cana-5405	106	65	,	,	PUNCT
cana-5405	106	66	휁	휁	PRON
cana-5405	106	67	5𝛿	5𝛿	NUM
cana-5405	106	68	3	3	NUM
cana-5405	106	69	)	)	PUNCT
cana-5405	106	70	≤	≤	NOUN
cana-5405	106	71	𝒪	𝒪	PROPN
cana-5405	106	72	(	(	PUNCT
cana-5405	106	73	𝜛n	𝜛n	ADP
cana-5405	106	74	,	,	PUNCT
cana-5405	106	75	𝜛	𝜛	PROPN
cana-5405	106	76	,	,	PUNCT
cana-5405	106	77	𝜛	𝜛	PROPN
cana-5405	106	78	,	,	PUNCT
cana-5405	106	79	𝛿	𝛿	PRON
cana-5405	106	80	3	3	NUM
cana-5405	106	81	)	)	PUNCT
cana-5405	106	82	◊	◊	PROPN
cana-5405	106	83	𝒪	𝒪	PROPN
cana-5405	106	84	(	(	PUNCT
cana-5405	106	85	𝜔n	𝜔n	NOUN
cana-5405	106	86	,	,	PUNCT
cana-5405	106	87	𝜔	𝜔	NOUN
cana-5405	106	88	,	,	PUNCT
cana-5405	106	89	𝜔	𝜔	ADP
cana-5405	106	90	,	,	PUNCT
cana-5405	106	91	𝛿	𝛿	PRON
cana-5405	106	92	3	3	NUM
cana-5405	106	93	)	)	PUNCT
cana-5405	106	94	◊	◊	PROPN
cana-5405	106	95	𝒪	𝒪	NOUN
cana-5405	106	96	(	(	PUNCT
cana-5405	106	97	𝜏n	𝜏n	ADP
cana-5405	106	98	,	,	PUNCT
cana-5405	106	99	𝜏	𝜏	NOUN
cana-5405	106	100	,	,	PUNCT
cana-5405	106	101	𝜏	𝜏	NOUN
cana-5405	106	102	,	,	PUNCT
cana-5405	106	103	𝛿	𝛿	ADJ
cana-5405	106	104	3	3	NUM
cana-5405	106	105	)	)	PUNCT
cana-5405	106	106	◊	◊	PROPN
cana-5405	106	107	𝒪	𝒪	PROPN
cana-5405	106	108	(	(	PUNCT
cana-5405	106	109	𝜏	𝜏	NOUN
cana-5405	106	110	,	,	PUNCT
cana-5405	106	111	𝜔	𝜔	NOUN
cana-5405	106	112	,	,	PUNCT
cana-5405	106	113	𝜏	𝜏	NOUN
cana-5405	106	114	,	,	PUNCT
cana-5405	106	115	휁	휁	NOUN
cana-5405	106	116	2𝛿	2𝛿	NOUN
cana-5405	106	117	)	)	PUNCT
cana-5405	106	118	𝒬	𝒬	NOUN
cana-5405	106	119	(	(	PUNCT
cana-5405	106	120	𝜛	𝜛	PROPN
cana-5405	106	121	,	,	PUNCT
cana-5405	106	122	𝜔	𝜔	ADP
cana-5405	106	123	,	,	PUNCT
cana-5405	106	124	𝜏	𝜏	NOUN
cana-5405	106	125	,	,	PUNCT
cana-5405	106	126	휁	휁	NOUN
cana-5405	106	127	+	+	X
cana-5405	106	128	2	2	NUM
cana-5405	106	129	ε	ε	PROPN
cana-5405	106	130	)	)	PUNCT
cana-5405	106	131	≥	≥	NOUN
cana-5405	107	1	𝒬	𝒬	PROPN
cana-5405	107	2	(	(	PUNCT
cana-5405	107	3	𝜛	𝜛	PROPN
cana-5405	107	4	,	,	PUNCT
cana-5405	107	5	𝜔	𝜔	ADP
cana-5405	107	6	,	,	PUNCT
cana-5405	107	7	𝜏	𝜏	NOUN
cana-5405	107	8	,	,	PUNCT
cana-5405	107	9	휁𝑛+	휁𝑛+	NOUN
cana-5405	107	10	ε	ε	PROPN
cana-5405	107	11	)	)	PUNCT
cana-5405	107	12	≥	≥	NOUN
cana-5405	107	13	𝒬	𝒬	PROPN
cana-5405	107	14	(	(	PUNCT
cana-5405	107	15	𝜛	𝜛	PROPN
cana-5405	107	16	,	,	PUNCT
cana-5405	107	17	𝜛	𝜛	PROPN
cana-5405	107	18	n	n	CCONJ
cana-5405	107	19	,	,	PUNCT
cana-5405	107	20	𝜛n	𝜛n	INTJ
cana-5405	107	21	,	,	PUNCT
cana-5405	107	22	ε	ε	PROPN
cana-5405	107	23	3	3	NUM
cana-5405	107	24	)	)	PUNCT
cana-5405	107	25	∗	∗	NOUN
cana-5405	107	26	𝒬	𝒬	PROPN
cana-5405	107	27	(	(	PUNCT
cana-5405	107	28	𝜛n	𝜛n	INTJ
cana-5405	107	29	,	,	PUNCT
cana-5405	107	30	𝜔	𝜔	NOUN
cana-5405	107	31	,	,	PUNCT
cana-5405	107	32	𝜏	𝜏	NOUN
cana-5405	107	33	,	,	PUNCT
cana-5405	107	34	휁n	휁n	NOUN
cana-5405	107	35	+	+	CCONJ
cana-5405	107	36	2ε	2ε	NUM
cana-5405	107	37	3	3	NUM
cana-5405	107	38	)	)	PUNCT
cana-5405	107	39	≥	≥	NOUN
cana-5405	107	40	𝒬	𝒬	PROPN
cana-5405	107	41	(	(	PUNCT
cana-5405	107	42	𝜛	𝜛	PROPN
cana-5405	107	43	,	,	PUNCT
cana-5405	107	44	𝜛n	𝜛n	INTJ
cana-5405	107	45	,	,	PUNCT
cana-5405	107	46	𝜛n	𝜛n	ADP
cana-5405	107	47	,	,	PUNCT
cana-5405	107	48	ε	ε	PROPN
cana-5405	107	49	3	3	NUM
cana-5405	107	50	)	)	PUNCT
cana-5405	107	51	∗	∗	NOUN
cana-5405	107	52	𝒬	𝒬	PROPN
cana-5405	107	53	(	(	PUNCT
cana-5405	107	54	𝜔	𝜔	PROPN
cana-5405	107	55	,	,	PUNCT
cana-5405	107	56	𝜔n	𝜔n	NOUN
cana-5405	107	57	,	,	PUNCT
cana-5405	107	58	𝜔n	𝜔n	NOUN
cana-5405	107	59	,	,	PUNCT
cana-5405	107	60	ε	ε	PROPN
cana-5405	107	61	3	3	NUM
cana-5405	107	62	)	)	PUNCT
cana-5405	107	63	∗	∗	NOUN
cana-5405	107	64	𝒬	𝒬	PROPN
cana-5405	107	65	(	(	PUNCT
cana-5405	107	66	𝜔n	𝜔n	PROPN
cana-5405	107	67	,	,	PUNCT
cana-5405	107	68	𝜛n	𝜛n	ADP
cana-5405	107	69	,	,	PUNCT
cana-5405	107	70	𝜏	𝜏	NOUN
cana-5405	107	71	,	,	PUNCT
cana-5405	107	72	휁n+	휁n+	ADJ
cana-5405	107	73	ε	ε	PROPN
cana-5405	107	74	3	3	NUM
cana-5405	107	75	)	)	PUNCT
cana-5405	107	76	≥	≥	NOUN
cana-5405	107	77	𝒬	𝒬	PROPN
cana-5405	107	78	(	(	PUNCT
cana-5405	107	79	𝜛	𝜛	PROPN
cana-5405	107	80	,	,	PUNCT
cana-5405	107	81	𝜛n	𝜛n	INTJ
cana-5405	107	82	,	,	PUNCT
cana-5405	107	83	𝜛n	𝜛n	ADP
cana-5405	107	84	,	,	PUNCT
cana-5405	107	85	ε	ε	PROPN
cana-5405	107	86	3	3	NUM
cana-5405	107	87	)	)	PUNCT
cana-5405	107	88	∗	∗	NOUN
cana-5405	107	89	𝒬	𝒬	PROPN
cana-5405	107	90	(	(	PUNCT
cana-5405	107	91	𝜔	𝜔	PROPN
cana-5405	107	92	,	,	PUNCT
cana-5405	107	93	𝜔n	𝜔n	NOUN
cana-5405	107	94	,	,	PUNCT
cana-5405	107	95	𝜔n	𝜔n	NOUN
cana-5405	107	96	,	,	PUNCT
cana-5405	107	97	ε	ε	PROPN
cana-5405	107	98	3	3	NUM
cana-5405	107	99	)	)	PUNCT
cana-5405	107	100	∗	∗	NOUN
cana-5405	107	101	𝒬	𝒬	PROPN
cana-5405	107	102	(	(	PUNCT
cana-5405	107	103	𝜏	𝜏	NOUN
cana-5405	107	104	,	,	PUNCT
cana-5405	107	105	𝜏n	𝜏n	ADP
cana-5405	107	106	,	,	PUNCT
cana-5405	107	107	𝜏n	𝜏n	NOUN
cana-5405	107	108	,	,	PUNCT
cana-5405	107	109	ε	ε	PROPN
cana-5405	107	110	3	3	NUM
cana-5405	107	111	)	)	PUNCT
cana-5405	107	112	∗	∗	NOUN
cana-5405	107	113	𝒬	𝒬	PROPN
cana-5405	107	114	(	(	PUNCT
cana-5405	107	115	𝜏	𝜏	PROPN
cana-5405	107	116	,	,	PUNCT
cana-5405	107	117	𝜔	𝜔	NOUN
cana-5405	107	118	,	,	PUNCT
cana-5405	107	119	𝜛	𝜛	PROPN
cana-5405	107	120	,	,	PUNCT
cana-5405	107	121	휁n	휁n	NOUN
cana-5405	107	122	)	)	PUNCT
cana-5405	107	123	and	and	CCONJ
cana-5405	107	124	ℋ	ℋ	PROPN
cana-5405	107	125	(	(	PUNCT
cana-5405	107	126	𝜛	𝜛	PROPN
cana-5405	107	127	,	,	PUNCT
cana-5405	107	128	𝜔	𝜔	ADP
cana-5405	107	129	,	,	PUNCT
cana-5405	107	130	𝜏	𝜏	NOUN
cana-5405	107	131	,	,	PUNCT
cana-5405	107	132	휁	휁	NOUN
cana-5405	107	133	+	+	X
cana-5405	107	134	2	2	NUM
cana-5405	107	135	ε	ε	NOUN
cana-5405	107	136	)	)	PUNCT
cana-5405	107	137	≤	≤	NOUN
cana-5405	107	138	ℋ	ℋ	PROPN
cana-5405	107	139	(	(	PUNCT
cana-5405	107	140	𝜛	𝜛	PROPN
cana-5405	107	141	,	,	PUNCT
cana-5405	107	142	𝜔	𝜔	ADP
cana-5405	107	143	,	,	PUNCT
cana-5405	107	144	𝜏	𝜏	NOUN
cana-5405	107	145	,	,	PUNCT
cana-5405	107	146	휁𝑛+	휁𝑛+	NOUN
cana-5405	107	147	δ	δ	PROPN
cana-5405	107	148	)	)	PUNCT
cana-5405	107	149	≤	≤	NOUN
cana-5405	107	150	ℋ	ℋ	PROPN
cana-5405	107	151	(	(	PUNCT
cana-5405	107	152	𝜛	𝜛	PROPN
cana-5405	107	153	,	,	PUNCT
cana-5405	107	154	𝜛	𝜛	PROPN
cana-5405	107	155	n	n	CCONJ
cana-5405	107	156	,	,	PUNCT
cana-5405	107	157	𝜛n	𝜛n	INTJ
cana-5405	107	158	,	,	PUNCT
cana-5405	107	159	δ	δ	PROPN
cana-5405	107	160	3	3	NUM
cana-5405	107	161	)	)	PUNCT
cana-5405	107	162	◊	◊	PROPN
cana-5405	107	163	ℋ	ℋ	PROPN
cana-5405	107	164	(	(	PUNCT
cana-5405	107	165	𝜛n	𝜛n	INTJ
cana-5405	107	166	,	,	PUNCT
cana-5405	107	167	𝜔	𝜔	NOUN
cana-5405	107	168	,	,	PUNCT
cana-5405	107	169	𝜏	𝜏	NOUN
cana-5405	107	170	,	,	PUNCT
cana-5405	107	171	휁n	휁n	NOUN
cana-5405	107	172	+	+	CCONJ
cana-5405	107	173	2δ	2δ	NUM
cana-5405	107	174	3	3	NUM
cana-5405	107	175	)	)	PUNCT
cana-5405	107	176	≤	≤	NOUN
cana-5405	107	177	ℋ	ℋ	PROPN
cana-5405	107	178	(	(	PUNCT
cana-5405	107	179	𝜛	𝜛	PROPN
cana-5405	107	180	,	,	PUNCT
cana-5405	107	181	𝜛n	𝜛n	INTJ
cana-5405	107	182	,	,	PUNCT
cana-5405	107	183	𝜛n	𝜛n	INTJ
cana-5405	107	184	,	,	PUNCT
cana-5405	107	185	δ	δ	PROPN
cana-5405	107	186	3	3	NUM
cana-5405	107	187	)	)	PUNCT
cana-5405	107	188	◊	◊	PROPN
cana-5405	107	189	ℋ	ℋ	PROPN
cana-5405	107	190	(	(	PUNCT
cana-5405	107	191	𝜔	𝜔	PROPN
cana-5405	107	192	,	,	PUNCT
cana-5405	107	193	𝜔n	𝜔n	NOUN
cana-5405	107	194	,	,	PUNCT
cana-5405	107	195	𝜔n	𝜔n	NOUN
cana-5405	107	196	,	,	PUNCT
cana-5405	107	197	δ	δ	NOUN
cana-5405	107	198	3	3	NUM
cana-5405	107	199	)	)	PUNCT
cana-5405	107	200	◊	◊	PROPN
cana-5405	107	201	ℋ	ℋ	PROPN
cana-5405	107	202	(	(	PUNCT
cana-5405	107	203	𝜔n	𝜔n	PROPN
cana-5405	107	204	,	,	PUNCT
cana-5405	107	205	𝜛n	𝜛n	ADP
cana-5405	107	206	,	,	PUNCT
cana-5405	107	207	𝜏	𝜏	NOUN
cana-5405	107	208	,	,	PUNCT
cana-5405	107	209	휁n+	휁n+	ADJ
cana-5405	107	210	δ	δ	NOUN
cana-5405	107	211	3	3	X
cana-5405	107	212	)	)	PUNCT
cana-5405	107	213	≤	≤	NOUN
cana-5405	107	214	ℋ	ℋ	PROPN
cana-5405	107	215	(	(	PUNCT
cana-5405	107	216	𝜛	𝜛	PROPN
cana-5405	107	217	,	,	PUNCT
cana-5405	107	218	𝜛n	𝜛n	INTJ
cana-5405	107	219	,	,	PUNCT
cana-5405	107	220	𝜛n	𝜛n	INTJ
cana-5405	107	221	,	,	PUNCT
cana-5405	107	222	δ	δ	PROPN
cana-5405	107	223	3	3	NUM
cana-5405	107	224	)	)	PUNCT
cana-5405	107	225	◊	◊	PROPN
cana-5405	107	226	ℋ	ℋ	PROPN
cana-5405	107	227	(	(	PUNCT
cana-5405	107	228	𝜔	𝜔	PROPN
cana-5405	107	229	,	,	PUNCT
cana-5405	107	230	𝜔n	𝜔n	NOUN
cana-5405	107	231	,	,	PUNCT
cana-5405	107	232	𝜔n	𝜔n	NOUN
cana-5405	107	233	,	,	PUNCT
cana-5405	107	234	δ	δ	NOUN
cana-5405	107	235	3	3	NUM
cana-5405	107	236	)	)	PUNCT
cana-5405	107	237	◊	◊	PROPN
cana-5405	107	238	ℋ	ℋ	PROPN
cana-5405	107	239	(	(	PUNCT
cana-5405	107	240	𝜏	𝜏	NOUN
cana-5405	107	241	,	,	PUNCT
cana-5405	107	242	𝜏n	𝜏n	ADP
cana-5405	107	243	,	,	PUNCT
cana-5405	107	244	𝜏n	𝜏n	NOUN
cana-5405	107	245	,	,	PUNCT
cana-5405	107	246	δ	δ	NOUN
cana-5405	107	247	3	3	NUM
cana-5405	107	248	)	)	PUNCT
cana-5405	107	249	◊	◊	PROPN
cana-5405	107	250	ℋ	ℋ	PROPN
cana-5405	107	251	(	(	PUNCT
cana-5405	107	252	𝜏	𝜏	PROPN
cana-5405	107	253	,	,	PUNCT
cana-5405	107	254	𝜔	𝜔	NOUN
cana-5405	107	255	,	,	PUNCT
cana-5405	107	256	𝜛	𝜛	PROPN
cana-5405	107	257	,	,	PUNCT
cana-5405	107	258	휁n	휁n	PROPN
cana-5405	107	259	)	)	PUNCT
cana-5405	107	260	𝒪	𝒪	PROPN
cana-5405	107	261	(	(	PUNCT
cana-5405	107	262	𝜛	𝜛	PROPN
cana-5405	107	263	,	,	PUNCT
cana-5405	107	264	𝜔	𝜔	ADP
cana-5405	107	265	,	,	PUNCT
cana-5405	107	266	𝜏	𝜏	NOUN
cana-5405	107	267	,	,	PUNCT
cana-5405	107	268	휁	휁	NOUN
cana-5405	107	269	+	+	X
cana-5405	107	270	2	2	NUM
cana-5405	107	271	ε	ε	NOUN
cana-5405	107	272	)	)	PUNCT
cana-5405	107	273	≤	≤	NOUN
cana-5405	107	274	𝒪	𝒪	PROPN
cana-5405	107	275	(	(	PUNCT
cana-5405	107	276	𝜛	𝜛	PROPN
cana-5405	107	277	,	,	PUNCT
cana-5405	107	278	𝜔	𝜔	ADP
cana-5405	107	279	,	,	PUNCT
cana-5405	107	280	𝜏	𝜏	NOUN
cana-5405	107	281	,	,	PUNCT
cana-5405	107	282	휁𝑛+	휁𝑛+	NOUN
cana-5405	107	283	δ	δ	PROPN
cana-5405	107	284	)	)	PUNCT
cana-5405	107	285	≤	≤	NOUN
cana-5405	107	286	𝒪	𝒪	PROPN
cana-5405	107	287	(	(	PUNCT
cana-5405	107	288	𝜛	𝜛	PROPN
cana-5405	107	289	,	,	PUNCT
cana-5405	107	290	𝜛	𝜛	PROPN
cana-5405	107	291	n	n	CCONJ
cana-5405	107	292	,	,	PUNCT
cana-5405	107	293	𝜛n	𝜛n	INTJ
cana-5405	107	294	,	,	PUNCT
cana-5405	107	295	δ	δ	PROPN
cana-5405	107	296	3	3	X
cana-5405	107	297	)	)	PUNCT
cana-5405	107	298	◊	◊	PROPN
cana-5405	107	299	𝒪	𝒪	PROPN
cana-5405	107	300	(	(	PUNCT
cana-5405	107	301	𝜛n	𝜛n	INTJ
cana-5405	107	302	,	,	PUNCT
cana-5405	107	303	𝜔	𝜔	NOUN
cana-5405	107	304	,	,	PUNCT
cana-5405	107	305	𝜏	𝜏	NOUN
cana-5405	107	306	,	,	PUNCT
cana-5405	107	307	휁n	휁n	NOUN
cana-5405	107	308	+	+	CCONJ
cana-5405	107	309	2δ	2δ	NUM
cana-5405	107	310	3	3	NUM
cana-5405	107	311	)	)	PUNCT
cana-5405	107	312	≤	≤	NOUN
cana-5405	107	313	𝒪	𝒪	PROPN
cana-5405	107	314	(	(	PUNCT
cana-5405	107	315	𝜛	𝜛	PROPN
cana-5405	107	316	,	,	PUNCT
cana-5405	107	317	𝜛n	𝜛n	INTJ
cana-5405	107	318	,	,	PUNCT
cana-5405	107	319	𝜛n	𝜛n	INTJ
cana-5405	107	320	,	,	PUNCT
cana-5405	107	321	δ	δ	PROPN
cana-5405	107	322	3	3	X
cana-5405	107	323	)	)	PUNCT
cana-5405	107	324	◊	◊	PROPN
cana-5405	107	325	𝒪	𝒪	PROPN
cana-5405	107	326	(	(	PUNCT
cana-5405	107	327	𝜔	𝜔	NOUN
cana-5405	107	328	,	,	PUNCT
cana-5405	107	329	𝜔n	𝜔n	NOUN
cana-5405	107	330	,	,	PUNCT
cana-5405	107	331	𝜔n	𝜔n	NOUN
cana-5405	107	332	,	,	PUNCT
cana-5405	107	333	δ	δ	NOUN
cana-5405	107	334	3	3	NUM
cana-5405	107	335	)	)	PUNCT
cana-5405	107	336	◊	◊	PROPN
cana-5405	107	337	𝒪	𝒪	PROPN
cana-5405	107	338	(	(	PUNCT
cana-5405	107	339	𝜔n	𝜔n	PROPN
cana-5405	107	340	,	,	PUNCT
cana-5405	107	341	𝜛n	𝜛n	ADP
cana-5405	107	342	,	,	PUNCT
cana-5405	107	343	𝜏	𝜏	NOUN
cana-5405	107	344	,	,	PUNCT
cana-5405	107	345	휁n+	휁n+	ADJ
cana-5405	107	346	δ	δ	NOUN
cana-5405	107	347	3	3	X
cana-5405	107	348	)	)	PUNCT
cana-5405	107	349	≤	≤	NOUN
cana-5405	107	350	𝒪	𝒪	PROPN
cana-5405	107	351	(	(	PUNCT
cana-5405	107	352	𝜛	𝜛	PROPN
cana-5405	107	353	,	,	PUNCT
cana-5405	107	354	𝜛n	𝜛n	INTJ
cana-5405	107	355	,	,	PUNCT
cana-5405	107	356	𝜛n	𝜛n	INTJ
cana-5405	107	357	,	,	PUNCT
cana-5405	107	358	δ	δ	PROPN
cana-5405	107	359	3	3	X
cana-5405	107	360	)	)	PUNCT
cana-5405	107	361	◊	◊	PROPN
cana-5405	107	362	𝒪	𝒪	PROPN
cana-5405	107	363	(	(	PUNCT
cana-5405	107	364	𝜔	𝜔	NOUN
cana-5405	107	365	,	,	PUNCT
cana-5405	107	366	𝜔n	𝜔n	NOUN
cana-5405	107	367	,	,	PUNCT
cana-5405	107	368	𝜔n	𝜔n	NOUN
cana-5405	107	369	,	,	PUNCT
cana-5405	107	370	δ	δ	NOUN
cana-5405	107	371	3	3	NUM
cana-5405	107	372	)	)	PUNCT
cana-5405	107	373	◊	◊	PROPN
cana-5405	107	374	𝒪	𝒪	PROPN
cana-5405	107	375	(	(	PUNCT
cana-5405	107	376	𝜏	𝜏	NOUN
cana-5405	107	377	,	,	PUNCT
cana-5405	107	378	𝜏n	𝜏n	ADP
cana-5405	107	379	,	,	PUNCT
cana-5405	107	380	𝜏n	𝜏n	NOUN
cana-5405	107	381	,	,	PUNCT
cana-5405	107	382	δ	δ	NOUN
cana-5405	107	383	3	3	X
cana-5405	107	384	)	)	PUNCT
cana-5405	107	385	◊	◊	PROPN
cana-5405	107	386	𝒪	𝒪	PROPN
cana-5405	107	387	(	(	PUNCT
cana-5405	107	388	𝜏	𝜏	NOUN
cana-5405	107	389	,	,	PUNCT
cana-5405	107	390	𝜔	𝜔	NOUN
cana-5405	107	391	,	,	PUNCT
cana-5405	107	392	𝜛	𝜛	PROPN
cana-5405	107	393	,	,	PUNCT
cana-5405	107	394	휁n	휁n	NOUN
cana-5405	107	395	)	)	PUNCT
cana-5405	107	396	let	let	VERB
cana-5405	107	397	n	n	PRON
cana-5405	107	398	→	→	SYM
cana-5405	107	399	∞	∞	PROPN
cana-5405	107	400	,	,	PUNCT
cana-5405	107	401	by	by	ADP
cana-5405	107	402	continuity	continuity	NOUN
cana-5405	107	403	of	of	ADP
cana-5405	107	404	the	the	DET
cana-5405	107	405	function	function	NOUN
cana-5405	107	406	𝒬	𝒬	PROPN
cana-5405	107	407	,	,	PUNCT
cana-5405	107	408	ℋ	ℋ	PROPN
cana-5405	107	409	,	,	PUNCT
cana-5405	107	410	𝒪	𝒪	NOUN
cana-5405	107	411	with	with	ADP
cana-5405	107	412	respect	respect	NOUN
cana-5405	107	413	to	to	ADP
cana-5405	107	414	휁	휁	NOUN
cana-5405	107	415	,	,	PUNCT
cana-5405	107	416	we	we	PRON
cana-5405	107	417	can	can	AUX
cana-5405	107	418	get	get	VERB
cana-5405	107	419	𝒬	𝒬	PROPN
cana-5405	107	420	(	(	PUNCT
cana-5405	107	421	𝜛	𝜛	PROPN
cana-5405	107	422	,	,	PUNCT
cana-5405	107	423	𝜔	𝜔	ADP
cana-5405	107	424	,	,	PUNCT
cana-5405	107	425	𝜏	𝜏	NOUN
cana-5405	107	426	,	,	PUNCT
cana-5405	107	427	휁	휁	NOUN
cana-5405	107	428	+	+	X
cana-5405	107	429	2	2	NUM
cana-5405	107	430	ε	ε	PROPN
cana-5405	107	431	)	)	PUNCT
cana-5405	107	432	≥	≥	NOUN
cana-5405	108	1	𝒬	𝒬	PROPN
cana-5405	108	2	(	(	PUNCT
cana-5405	108	3	𝜏	𝜏	PROPN
cana-5405	108	4	,	,	PUNCT
cana-5405	108	5	𝜔	𝜔	NOUN
cana-5405	108	6	,	,	PUNCT
cana-5405	108	7	𝜛	𝜛	PROPN
cana-5405	108	8	,	,	PUNCT
cana-5405	108	9	t	t	PROPN
cana-5405	108	10	)	)	PUNCT
cana-5405	108	11	≥	≥	NOUN
cana-5405	108	12	𝒬	𝒬	PROPN
cana-5405	108	13	(	(	PUNCT
cana-5405	108	14	𝜏	𝜏	PROPN
cana-5405	108	15	,	,	PUNCT
cana-5405	108	16	𝜔	𝜔	NOUN
cana-5405	108	17	,	,	PUNCT
cana-5405	108	18	𝜛	𝜛	PROPN
cana-5405	108	19	,	,	PUNCT
cana-5405	108	20	휁	휁	PROPN
cana-5405	108	21	2	2	NUM
cana-5405	108	22	ε	ε	PROPN
cana-5405	108	23	)	)	PUNCT
cana-5405	108	24	ℋ	ℋ	PROPN
cana-5405	108	25	(	(	PUNCT
cana-5405	108	26	𝜛	𝜛	PROPN
cana-5405	108	27	,	,	PUNCT
cana-5405	108	28	𝜔	𝜔	ADP
cana-5405	108	29	,	,	PUNCT
cana-5405	108	30	𝜏	𝜏	NOUN
cana-5405	108	31	,	,	PUNCT
cana-5405	108	32	휁	휁	NOUN
cana-5405	108	33	+	+	X
cana-5405	108	34	2	2	NUM
cana-5405	108	35	ε	ε	NOUN
cana-5405	108	36	)	)	PUNCT
cana-5405	108	37	≤	≤	NOUN
cana-5405	108	38	ℋ	ℋ	PROPN
cana-5405	108	39	(	(	PUNCT
cana-5405	108	40	𝜏	𝜏	NOUN
cana-5405	108	41	,	,	PUNCT
cana-5405	108	42	𝜔	𝜔	NOUN
cana-5405	108	43	,	,	PUNCT
cana-5405	108	44	𝜛	𝜛	PROPN
cana-5405	108	45	,	,	PUNCT
cana-5405	108	46	t	t	PROPN
cana-5405	108	47	)	)	PUNCT
cana-5405	108	48	≤	≤	NOUN
cana-5405	108	49	ℋ	ℋ	PROPN
cana-5405	108	50	(	(	PUNCT
cana-5405	108	51	𝜏	𝜏	NOUN
cana-5405	108	52	,	,	PUNCT
cana-5405	108	53	𝜔	𝜔	NOUN
cana-5405	108	54	,	,	PUNCT
cana-5405	108	55	𝜛	𝜛	PROPN
cana-5405	108	56	,	,	PUNCT
cana-5405	108	57	휁	휁	PROPN
cana-5405	108	58	2	2	NUM
cana-5405	108	59	δ	δ	NOUN
cana-5405	108	60	)	)	PUNCT
cana-5405	108	61	𝒪	𝒪	PROPN
cana-5405	108	62	(	(	PUNCT
cana-5405	108	63	𝜛	𝜛	NOUN
cana-5405	108	64	,	,	PUNCT
cana-5405	108	65	𝜔	𝜔	ADP
cana-5405	108	66	,	,	PUNCT
cana-5405	108	67	𝜏	𝜏	NOUN
cana-5405	108	68	,	,	PUNCT
cana-5405	108	69	휁	휁	NOUN
cana-5405	108	70	+	+	X
cana-5405	108	71	2	2	NUM
cana-5405	108	72	ε	ε	NOUN
cana-5405	108	73	)	)	PUNCT
cana-5405	108	74	≤	≤	NOUN
cana-5405	108	75	𝒪	𝒪	PROPN
cana-5405	108	76	(	(	PUNCT
cana-5405	108	77	𝜏	𝜏	NOUN
cana-5405	108	78	,	,	PUNCT
cana-5405	108	79	𝜔	𝜔	NOUN
cana-5405	108	80	,	,	PUNCT
cana-5405	108	81	𝜛	𝜛	PROPN
cana-5405	108	82	,	,	PUNCT
cana-5405	108	83	t	t	PROPN
cana-5405	108	84	)	)	PUNCT
cana-5405	108	85	≤	≤	NOUN
cana-5405	108	86	𝒪	𝒪	PROPN
cana-5405	108	87	(	(	PUNCT
cana-5405	108	88	𝜏	𝜏	NOUN
cana-5405	108	89	,	,	PUNCT
cana-5405	108	90	𝜔	𝜔	NOUN
cana-5405	108	91	,	,	PUNCT
cana-5405	108	92	𝜛	𝜛	PROPN
cana-5405	108	93	,	,	PUNCT
cana-5405	108	94	휁	휁	PROPN
cana-5405	108	95	2	2	NUM
cana-5405	108	96	δ	δ	NOUN
cana-5405	108	97	)	)	PUNCT
cana-5405	108	98	therefore	therefore	ADV
cana-5405	108	99	𝒬	𝒬	PROPN
cana-5405	108	100	,	,	PUNCT
cana-5405	108	101	ℋ	ℋ	PROPN
cana-5405	108	102	,	,	PUNCT
cana-5405	108	103	𝒪	𝒪	PROPN
cana-5405	108	104	are	be	AUX
cana-5405	108	105	continuous	continuous	ADJ
cana-5405	108	106	function	function	NOUN
cana-5405	108	107	on	on	ADP
cana-5405	108	108	ξ	ξ	PROPN
cana-5405	108	109	3	3	NUM
cana-5405	108	110	x	x	SYM
cana-5405	108	111	(	(	PUNCT
cana-5405	108	112	0	0	NUM
cana-5405	108	113	,	,	PUNCT
cana-5405	108	114	∞	∞	PROPN
cana-5405	108	115	)	)	PUNCT
cana-5405	108	116	.	.	PUNCT
cana-5405	109	1	3	3	X
cana-5405	109	2	.	.	X
cana-5405	109	3	main	main	ADJ
cana-5405	109	4	theorem	theorem	NOUN
cana-5405	109	5	we	we	PRON
cana-5405	109	6	first	first	ADV
cana-5405	109	7	generalize	generalize	VERB
cana-5405	109	8	a	a	DET
cana-5405	109	9	classic	classic	ADJ
cana-5405	109	10	theorem	theorem	NOUN
cana-5405	109	11	in	in	ADP
cana-5405	109	12	neutrosophic	neutrosophic	ADJ
cana-5405	109	13	metric	metric	ADJ
cana-5405	109	14	space	space	NOUN
cana-5405	109	15	theorem	theorem	VERB
cana-5405	109	16	3.1	3.1	NUM
cana-5405	109	17	:	:	PUNCT
cana-5405	110	1	[	[	X
cana-5405	110	2	20	20	NUM
cana-5405	110	3	]	]	PUNCT
cana-5405	110	4	let	let	VERB
cana-5405	110	5	ℑ	ℑ	PROPN
cana-5405	110	6	,	,	PUNCT
cana-5405	110	7	ℶ	ℶ	PROPN
cana-5405	110	8	,	,	PUNCT
cana-5405	110	9	ℱ	ℱ	PROPN
cana-5405	110	10	,	,	PUNCT
cana-5405	110	11	ℌ	ℌ	PROPN
cana-5405	110	12	,	,	PUNCT
cana-5405	110	13	η	η	PROPN
cana-5405	110	14	and	and	CCONJ
cana-5405	110	15	ξ	ξ	PROPN
cana-5405	110	16	be	be	NOUN
cana-5405	110	17	selfmappings	selfmapping	NOUN
cana-5405	110	18	of	of	ADP
cana-5405	110	19	a	a	DET
cana-5405	110	20	complete	complete	ADJ
cana-5405	110	21	symmetric	symmetric	ADJ
cana-5405	110	22	neutrosophic	neutrosophic	ADJ
cana-5405	110	23	metric	metric	ADJ
cana-5405	110	24	space	space	NOUN
cana-5405	110	25	(	(	PUNCT
cana-5405	110	26	ξ	ξ	PROPN
cana-5405	110	27	,	,	PUNCT
cana-5405	110	28	𝒬	𝒬	PROPN
cana-5405	110	29	,	,	PUNCT
cana-5405	110	30	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	110	31	*	*	PUNCT
cana-5405	110	32	,	,	PUNCT
cana-5405	110	33			PROPN
cana-5405	110	34	)	)	PUNCT
cana-5405	110	35	with	with	ADP
cana-5405	110	36	휁	휁	PROPN
cana-5405	110	37	∗	∗	X
cana-5405	110	38	휁	휁	NOUN
cana-5405	110	39	≥	≥	NOUN
cana-5405	110	40	휁	휁	NOUN
cana-5405	110	41	and	and	CCONJ
cana-5405	110	42	휁	휁	PROPN
cana-5405	110	43	◊	◊	PROPN
cana-5405	110	44	휁	휁	NOUN
cana-5405	110	45	≤	≤	X
cana-5405	110	46	1휁	1휁	NOUN
cana-5405	110	47	if	if	SCONJ
cana-5405	110	48	the	the	DET
cana-5405	110	49	mappings	mapping	NOUN
cana-5405	110	50	satisfy	satisfy	VERB
cana-5405	110	51	the	the	DET
cana-5405	110	52	following	follow	VERB
cana-5405	110	53	conditions	condition	NOUN
cana-5405	110	54	:	:	PUNCT
cana-5405	111	1	[	[	X
cana-5405	111	2	3.1.1	3.1.1	NUM
cana-5405	111	3	]	]	X
cana-5405	111	4	ℑ	ℑ	PROPN
cana-5405	111	5	(	(	PUNCT
cana-5405	111	6	ξ	ξ	NOUN
cana-5405	111	7	)	)	PUNCT
cana-5405	111	8	⊆	⊆	NUM
cana-5405	111	9	ℌ	ℌ	PROPN
cana-5405	111	10	(	(	PUNCT
cana-5405	111	11	ξ	ξ	PROPN
cana-5405	111	12	)	)	PUNCT
cana-5405	111	13	,	,	PUNCT
cana-5405	111	14	ℶ	ℶ	PROPN
cana-5405	111	15	(	(	PUNCT
cana-5405	111	16	ξ	ξ	NOUN
cana-5405	111	17	)	)	PUNCT
cana-5405	111	18	⊆	⊆	NUM
cana-5405	111	19	η	η	X
cana-5405	111	20	(	(	PUNCT
cana-5405	111	21	ξ	ξ	PROPN
cana-5405	111	22	)	)	PUNCT
cana-5405	111	23	,	,	PUNCT
cana-5405	111	24	ℱ	ℱ	PROPN
cana-5405	111	25	(	(	PUNCT
cana-5405	111	26	ξ	ξ	NOUN
cana-5405	111	27	)	)	PUNCT
cana-5405	111	28	⊆	⊆	NUM
cana-5405	111	29	ξ	ξ	PROPN
cana-5405	111	30	(	(	PUNCT
cana-5405	111	31	ξ	ξ	NOUN
cana-5405	111	32	)	)	PUNCT
cana-5405	111	33	communications	communication	NOUN
cana-5405	111	34	on	on	ADP
cana-5405	111	35	applied	apply	VERB
cana-5405	111	36	nonlinear	nonlinear	ADJ
cana-5405	111	37	analysis	analysis	NOUN
cana-5405	111	38	issn	issn	NOUN
cana-5405	111	39	:	:	PUNCT
cana-5405	111	40	1074	1074	NUM
cana-5405	111	41	-	-	PUNCT
cana-5405	111	42	133x	133x	NUM
cana-5405	111	43	vol	vol	VERB
cana-5405	111	44	32	32	NUM
cana-5405	111	45	no	no	NOUN
cana-5405	111	46	.	.	PUNCT
cana-5405	111	47	10s	10	NOUN
cana-5405	111	48	(	(	PUNCT
cana-5405	111	49	2025	2025	NUM
cana-5405	111	50	)	)	PUNCT
cana-5405	111	51	2153	2153	NUM
cana-5405	111	52	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	112	1	[	[	X
cana-5405	112	2	3.1.2	3.1.2	X
cana-5405	112	3	]	]	PUNCT
cana-5405	112	4	(	(	PUNCT
cana-5405	112	5	ℑ	ℑ	PROPN
cana-5405	112	6	,	,	PUNCT
cana-5405	112	7	ξ	ξ	NOUN
cana-5405	112	8	)	)	PUNCT
cana-5405	112	9	or	or	CCONJ
cana-5405	112	10	(	(	PUNCT
cana-5405	112	11	ℶ,η	ℶ,η	NOUN
cana-5405	112	12	)	)	PUNCT
cana-5405	112	13	or	or	CCONJ
cana-5405	112	14	(	(	PUNCT
cana-5405	112	15	ℱ	ℱ	PROPN
cana-5405	112	16	,	,	PUNCT
cana-5405	112	17	ℌ	ℌ	PROPN
cana-5405	112	18	)	)	PUNCT
cana-5405	112	19	satisfy	satisfy	VERB
cana-5405	112	20	the	the	DET
cana-5405	112	21	property	property	NOUN
cana-5405	112	22	(	(	PUNCT
cana-5405	112	23	e.a	e.a	PROPN
cana-5405	112	24	)	)	PUNCT
cana-5405	113	1	[	[	X
cana-5405	113	2	3.1.3	3.1.3	NUM
cana-5405	113	3	]	]	X
cana-5405	113	4	(	(	PUNCT
cana-5405	113	5	ℑ	ℑ	PROPN
cana-5405	113	6	,	,	PUNCT
cana-5405	113	7	ξ	ξ	NOUN
cana-5405	113	8	)	)	PUNCT
cana-5405	113	9	,	,	PUNCT
cana-5405	113	10	(	(	PUNCT
cana-5405	113	11	ℶ,η	ℶ,η	NOUN
cana-5405	113	12	)	)	PUNCT
cana-5405	113	13	and	and	CCONJ
cana-5405	113	14	(	(	PUNCT
cana-5405	113	15	ℱ	ℱ	PROPN
cana-5405	113	16	,	,	PUNCT
cana-5405	113	17	ℌ	ℌ	PROPN
cana-5405	113	18	)	)	PUNCT
cana-5405	113	19	are	be	AUX
cana-5405	113	20	weakly	weakly	ADV
cana-5405	113	21	compatible	compatible	ADJ
cana-5405	113	22	[	[	X
cana-5405	113	23	3.1.4	3.1.4	NUM
cana-5405	113	24	]	]	X
cana-5405	113	25	𝒬	𝒬	PROPN
cana-5405	113	26	(	(	PUNCT
cana-5405	113	27	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	113	28	,	,	PUNCT
cana-5405	113	29	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	113	30	,	,	PUNCT
cana-5405	113	31	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	113	32	,	,	PUNCT
cana-5405	113	33	k휁	k휁	NOUN
cana-5405	113	34	)	)	PUNCT
cana-5405	113	35	≥	≥	NOUN
cana-5405	113	36	{	{	PUNCT
cana-5405	113	37	𝒬	𝒬	PROPN
cana-5405	113	38	(	(	PUNCT
cana-5405	113	39	ξ𝜛	ξ𝜛	NOUN
cana-5405	113	40	,	,	PUNCT
cana-5405	113	41	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	113	42	,	,	PUNCT
cana-5405	113	43	η𝜏	η𝜏	ADP
cana-5405	113	44	,	,	PUNCT
cana-5405	113	45	휁	휁	NOUN
cana-5405	113	46	)	)	PUNCT
cana-5405	113	47	∗	∗	NOUN
cana-5405	113	48	𝒬	𝒬	PROPN
cana-5405	113	49	(	(	PUNCT
cana-5405	113	50	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	113	51	,	,	PUNCT
cana-5405	113	52	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	113	53	,	,	PUNCT
cana-5405	113	54	η𝜏	η𝜏	ADP
cana-5405	113	55	,	,	PUNCT
cana-5405	113	56	휁	휁	NOUN
cana-5405	113	57	)	)	PUNCT
cana-5405	113	58	∗	∗	NOUN
cana-5405	113	59	𝒬	𝒬	PROPN
cana-5405	113	60	(	(	PUNCT
cana-5405	113	61	η𝜛	η𝜛	PROPN
cana-5405	113	62	,	,	PUNCT
cana-5405	113	63	ℶ𝜔	ℶ𝜔	NOUN
cana-5405	113	64	,	,	PUNCT
cana-5405	113	65	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	113	66	,	,	PUNCT
cana-5405	113	67	휁	휁	NOUN
cana-5405	113	68	)	)	PUNCT
cana-5405	113	69	}	}	PUNCT
cana-5405	114	1	[	[	X
cana-5405	114	2	3.1.5	3.1.5	X
cana-5405	114	3	]	]	X
cana-5405	114	4	ℋ(ℑ𝜛	ℋ(ℑ𝜛	NUM
cana-5405	114	5	,	,	PUNCT
cana-5405	114	6	ℶ𝜔	ℶ𝜔	NOUN
cana-5405	114	7	,	,	PUNCT
cana-5405	114	8	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	114	9	,	,	PUNCT
cana-5405	114	10	k휁	k휁	NOUN
cana-5405	114	11	)	)	PUNCT
cana-5405	114	12	≤	≤	NOUN
cana-5405	114	13	{	{	PUNCT
cana-5405	114	14	ℋ	ℋ	PROPN
cana-5405	114	15	(	(	PUNCT
cana-5405	114	16	ξ𝜛	ξ𝜛	NOUN
cana-5405	114	17	,	,	PUNCT
cana-5405	114	18	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	114	19	,	,	PUNCT
cana-5405	114	20	η𝜏	η𝜏	ADP
cana-5405	114	21	,	,	PUNCT
cana-5405	114	22	휁	휁	NOUN
cana-5405	114	23	)	)	PUNCT
cana-5405	114	24	◊	◊	PROPN
cana-5405	114	25	ℋ	ℋ	PROPN
cana-5405	114	26	(	(	PUNCT
cana-5405	114	27	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	114	28	,	,	PUNCT
cana-5405	114	29	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	114	30	,	,	PUNCT
cana-5405	114	31	η𝜏	η𝜏	ADP
cana-5405	114	32	,	,	PUNCT
cana-5405	114	33	휁	휁	NOUN
cana-5405	114	34	)	)	PUNCT
cana-5405	114	35	◊	◊	PROPN
cana-5405	114	36	ℋ	ℋ	PROPN
cana-5405	114	37	(	(	PUNCT
cana-5405	114	38	η𝜛	η𝜛	PROPN
cana-5405	114	39	,	,	PUNCT
cana-5405	114	40	ℶ𝜔	ℶ𝜔	NOUN
cana-5405	114	41	,	,	PUNCT
cana-5405	114	42	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	114	43	,	,	PUNCT
cana-5405	114	44	휁	휁	NOUN
cana-5405	114	45	)	)	PUNCT
cana-5405	114	46	}	}	PUNCT
cana-5405	114	47	[	[	X
cana-5405	114	48	3.1.6	3.1.6	X
cana-5405	114	49	]	]	X
cana-5405	114	50	𝒪	𝒪	PROPN
cana-5405	114	51	(	(	PUNCT
cana-5405	114	52	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	114	53	,	,	PUNCT
cana-5405	114	54	ℶ𝜔	ℶ𝜔	NOUN
cana-5405	114	55	,	,	PUNCT
cana-5405	114	56	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	114	57	,	,	PUNCT
cana-5405	114	58	k휁	k휁	NOUN
cana-5405	114	59	)	)	PUNCT
cana-5405	114	60	≤	≤	NOUN
cana-5405	114	61	{	{	PUNCT
cana-5405	114	62	𝒪	𝒪	NOUN
cana-5405	114	63	(	(	PUNCT
cana-5405	114	64	ξ𝜛	ξ𝜛	NOUN
cana-5405	114	65	,	,	PUNCT
cana-5405	114	66	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	114	67	,	,	PUNCT
cana-5405	114	68	η𝜏	η𝜏	ADP
cana-5405	114	69	,	,	PUNCT
cana-5405	114	70	휁	휁	NOUN
cana-5405	114	71	)	)	PUNCT
cana-5405	114	72	◊	◊	PROPN
cana-5405	114	73	𝒪	𝒪	PROPN
cana-5405	114	74	(	(	PUNCT
cana-5405	114	75	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	114	76	,	,	PUNCT
cana-5405	114	77	ℌ𝜔	ℌ𝜔	PROPN
cana-5405	114	78	,	,	PUNCT
cana-5405	114	79	η𝜏	η𝜏	ADP
cana-5405	114	80	,	,	PUNCT
cana-5405	114	81	휁	휁	NOUN
cana-5405	114	82	)	)	PUNCT
cana-5405	114	83	◊	◊	PROPN
cana-5405	114	84	𝒪	𝒪	PROPN
cana-5405	114	85	(	(	PUNCT
cana-5405	114	86	η𝜛	η𝜛	PROPN
cana-5405	114	87	,	,	PUNCT
cana-5405	114	88	ℶ𝜔	ℶ𝜔	NOUN
cana-5405	114	89	,	,	PUNCT
cana-5405	114	90	ℱ𝜏	ℱ𝜏	PROPN
cana-5405	114	91	,	,	PUNCT
cana-5405	114	92	휁	휁	NOUN
cana-5405	114	93	)	)	PUNCT
cana-5405	114	94	}	}	PUNCT
cana-5405	114	95	there	there	PRON
cana-5405	114	96	exists	exist	VERB
cana-5405	114	97	k	k	PROPN
cana-5405	114	98	∈	∈	PROPN
cana-5405	114	99	(	(	PUNCT
cana-5405	114	100	0,1	0,1	NOUN
cana-5405	114	101	)	)	PUNCT
cana-5405	114	102	such	such	ADJ
cana-5405	114	103	that	that	PRON
cana-5405	114	104	for	for	ADP
cana-5405	114	105	every	every	DET
cana-5405	114	106	𝜛	𝜛	PROPN
cana-5405	114	107	,	,	PUNCT
cana-5405	114	108	𝜔	𝜔	PROPN
cana-5405	114	109	,	,	PUNCT
cana-5405	114	110	𝜏	𝜏	PRON
cana-5405	114	111	∈	∈	NOUN
cana-5405	114	112	ξ	ξ	PROPN
cana-5405	114	113	and	and	CCONJ
cana-5405	114	114	휁	휁	X
cana-5405	114	115	>	>	X
cana-5405	114	116	0	0	PROPN
cana-5405	114	117	.	.	PUNCT
cana-5405	115	1	then	then	ADV
cana-5405	115	2	ℑ	ℑ	PROPN
cana-5405	115	3	,	,	PUNCT
cana-5405	115	4	ℶ	ℶ	PROPN
cana-5405	115	5	,	,	PUNCT
cana-5405	115	6	ℱ	ℱ	PROPN
cana-5405	115	7	,	,	PUNCT
cana-5405	115	8	ℌ	ℌ	PROPN
cana-5405	115	9	,	,	PUNCT
cana-5405	115	10	η	η	PROPN
cana-5405	115	11	and	and	CCONJ
cana-5405	115	12	ξ	ξ	PROPN
cana-5405	115	13	have	have	VERB
cana-5405	115	14	a	a	DET
cana-5405	115	15	unique	unique	ADJ
cana-5405	115	16	common	common	ADJ
cana-5405	115	17	fixed	fix	VERB
cana-5405	115	18	point	point	NOUN
cana-5405	115	19	in	in	ADP
cana-5405	115	20	ξ	ξ	PROPN
cana-5405	115	21	.	.	PUNCT
cana-5405	116	1	proof	proof	NOUN
cana-5405	116	2	:	:	PUNCT
cana-5405	116	3	suppose	suppose	VERB
cana-5405	116	4	(	(	PUNCT
cana-5405	116	5	ℑ	ℑ	PROPN
cana-5405	116	6	,	,	PUNCT
cana-5405	116	7	ξ	ξ	NOUN
cana-5405	116	8	)	)	PUNCT
cana-5405	116	9	satisfy	satisfy	VERB
cana-5405	116	10	the	the	DET
cana-5405	116	11	property	property	NOUN
cana-5405	116	12	(	(	PUNCT
cana-5405	116	13	e.a	e.a	PROPN
cana-5405	116	14	)	)	PUNCT
cana-5405	116	15	,	,	PUNCT
cana-5405	116	16	hence	hence	ADV
cana-5405	116	17	there	there	PRON
cana-5405	116	18	exists	exist	VERB
cana-5405	116	19	a	a	DET
cana-5405	116	20	sequence	sequence	NOUN
cana-5405	116	21	{	{	PUNCT
cana-5405	116	22	𝜛n	𝜛n	ADP
cana-5405	116	23	}	}	PUNCT
cana-5405	116	24	such	such	ADJ
cana-5405	116	25	that	that	SCONJ
cana-5405	116	26	lim	lim	PROPN
cana-5405	116	27	𝑛→∞	𝑛→∞	NUM
cana-5405	116	28	𝒬	𝒬	PROPN
cana-5405	116	29	(	(	PUNCT
cana-5405	116	30	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	116	31	,	,	PUNCT
cana-5405	116	32	u	u	NOUN
cana-5405	116	33	,	,	PUNCT
cana-5405	116	34	u	u	NOUN
cana-5405	116	35	,	,	PUNCT
cana-5405	116	36	휁	휁	NOUN
cana-5405	116	37	)	)	PUNCT
cana-5405	117	1	=	=	SYM
cana-5405	117	2	lim	lim	PROPN
cana-5405	117	3	n→∞	n→∞	X
cana-5405	117	4	𝒬	𝒬	PROPN
cana-5405	117	5	(	(	PUNCT
cana-5405	117	6	ξ	ξ	X
cana-5405	117	7	𝜛n	𝜛n	PROPN
cana-5405	117	8	,	,	PUNCT
cana-5405	117	9	u	u	NOUN
cana-5405	117	10	,	,	PUNCT
cana-5405	117	11	u	u	NOUN
cana-5405	117	12	,	,	PUNCT
cana-5405	117	13	휁	휁	NOUN
cana-5405	117	14	)	)	PUNCT
cana-5405	117	15	=	=	SYM
cana-5405	117	16	1	1	NUM
cana-5405	117	17	lim	lim	NOUN
cana-5405	117	18	𝑛→∞	𝑛→∞	NUM
cana-5405	117	19	ℋ	ℋ	PROPN
cana-5405	117	20	(	(	PUNCT
cana-5405	117	21	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	117	22	,	,	PUNCT
cana-5405	117	23	u	u	NOUN
cana-5405	117	24	,	,	PUNCT
cana-5405	117	25	u	u	NOUN
cana-5405	117	26	,	,	PUNCT
cana-5405	117	27	휁	휁	NOUN
cana-5405	117	28	)	)	PUNCT
cana-5405	117	29	=	=	SYM
cana-5405	117	30	lim	lim	PROPN
cana-5405	117	31	n→∞	n→∞	X
cana-5405	117	32	ℋ	ℋ	PROPN
cana-5405	117	33	(	(	PUNCT
cana-5405	117	34	ξ	ξ	X
cana-5405	117	35	𝜛n	𝜛n	PROPN
cana-5405	117	36	,	,	PUNCT
cana-5405	117	37	u	u	NOUN
cana-5405	117	38	,	,	PUNCT
cana-5405	117	39	u	u	NOUN
cana-5405	117	40	,	,	PUNCT
cana-5405	117	41	휁	휁	NOUN
cana-5405	117	42	)	)	PUNCT
cana-5405	117	43	=	=	SYM
cana-5405	117	44	0	0	NUM
cana-5405	118	1	lim	lim	NOUN
cana-5405	118	2	𝑛→∞	𝑛→∞	NUM
cana-5405	118	3	𝒪	𝒪	PROPN
cana-5405	118	4	(	(	PUNCT
cana-5405	118	5	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	118	6	,	,	PUNCT
cana-5405	118	7	u	u	NOUN
cana-5405	118	8	,	,	PUNCT
cana-5405	118	9	u	u	NOUN
cana-5405	118	10	,	,	PUNCT
cana-5405	118	11	휁	휁	NOUN
cana-5405	118	12	)	)	PUNCT
cana-5405	119	1	=	=	SYM
cana-5405	119	2	lim	lim	PROPN
cana-5405	119	3	n→∞	n→∞	X
cana-5405	120	1	𝒪	𝒪	PROPN
cana-5405	120	2	(	(	PUNCT
cana-5405	120	3	ξ	ξ	X
cana-5405	120	4	𝜛n	𝜛n	PROPN
cana-5405	120	5	,	,	PUNCT
cana-5405	120	6	u	u	NOUN
cana-5405	120	7	,	,	PUNCT
cana-5405	120	8	u	u	NOUN
cana-5405	120	9	,	,	PUNCT
cana-5405	120	10	휁	휁	NOUN
cana-5405	120	11	)	)	PUNCT
cana-5405	120	12	=	=	SYM
cana-5405	120	13	0	0	NUM
cana-5405	120	14	for	for	ADP
cana-5405	120	15	some	some	DET
cana-5405	120	16	u	u	NOUN
cana-5405	120	17	∈	∈	PROPN
cana-5405	120	18	ξ	ξ	PROPN
cana-5405	120	19	and	and	CCONJ
cana-5405	120	20	휁	휁	X
cana-5405	120	21	>	>	X
cana-5405	120	22	0	0	NUM
cana-5405	120	23	.	.	PUNCT
cana-5405	121	1	since	since	SCONJ
cana-5405	121	2	ℑ	ℑ	PROPN
cana-5405	121	3	(	(	PUNCT
cana-5405	121	4	ξ	ξ	NOUN
cana-5405	121	5	)	)	PUNCT
cana-5405	121	6	⊆	⊆	NUM
cana-5405	121	7	ℌ	ℌ	PROPN
cana-5405	121	8	(	(	PUNCT
cana-5405	121	9	ξ	ξ	NOUN
cana-5405	121	10	)	)	PUNCT
cana-5405	121	11	,	,	PUNCT
cana-5405	121	12	there	there	PRON
cana-5405	121	13	exists	exist	VERB
cana-5405	121	14	a	a	DET
cana-5405	121	15	sequence	sequence	NOUN
cana-5405	121	16	{	{	PUNCT
cana-5405	121	17	𝜔n	𝜔n	NOUN
cana-5405	121	18	}	}	PUNCT
cana-5405	121	19	such	such	ADJ
cana-5405	121	20	that	that	SCONJ
cana-5405	121	21	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	121	22	=	=	SYM
cana-5405	121	23	ℌ𝜔n	ℌ𝜔n	PROPN
cana-5405	121	24	⇒	⇒	NOUN
cana-5405	121	25	lim	lim	PROPN
cana-5405	121	26	n→∞	n→∞	NUM
cana-5405	122	1	𝒬	𝒬	PROPN
cana-5405	122	2	(	(	PUNCT
cana-5405	122	3	ℌ𝜔n	ℌ𝜔n	PROPN
cana-5405	122	4	,	,	PUNCT
cana-5405	122	5	u	u	NOUN
cana-5405	122	6	,	,	PUNCT
cana-5405	122	7	u	u	NOUN
cana-5405	122	8	,	,	PUNCT
cana-5405	122	9	t	t	PROPN
cana-5405	122	10	)	)	PUNCT
cana-5405	122	11	=	=	SYM
cana-5405	122	12	1	1	X
cana-5405	122	13	,	,	PUNCT
cana-5405	122	14	lim	lim	PROPN
cana-5405	122	15	n→∞	n→∞	NUM
cana-5405	122	16	ℋ	ℋ	PROPN
cana-5405	122	17	(	(	PUNCT
cana-5405	122	18	ℌ𝜔n	ℌ𝜔n	PROPN
cana-5405	122	19	,	,	PUNCT
cana-5405	122	20	u	u	NOUN
cana-5405	122	21	,	,	PUNCT
cana-5405	122	22	u	u	NOUN
cana-5405	122	23	,	,	PUNCT
cana-5405	122	24	t	t	PROPN
cana-5405	122	25	)	)	PUNCT
cana-5405	122	26	=	=	SYM
cana-5405	122	27	0	0	PUNCT
cana-5405	123	1	and	and	CCONJ
cana-5405	123	2	lim	lim	PROPN
cana-5405	123	3	n→∞	n→∞	X
cana-5405	123	4	𝒪	𝒪	PROPN
cana-5405	123	5	(	(	PUNCT
cana-5405	123	6	ℌ𝜔n	ℌ𝜔n	PROPN
cana-5405	123	7	,	,	PUNCT
cana-5405	123	8	u	u	NOUN
cana-5405	123	9	,	,	PUNCT
cana-5405	123	10	u	u	NOUN
cana-5405	123	11	,	,	PUNCT
cana-5405	123	12	t	t	PROPN
cana-5405	123	13	)	)	PUNCT
cana-5405	124	1	=	=	SYM
cana-5405	124	2	0	0	PUNCT
cana-5405	125	1	therefore	therefore	ADV
cana-5405	125	2	,	,	PUNCT
cana-5405	125	3	𝒬	𝒬	PROPN
cana-5405	125	4	(	(	PUNCT
cana-5405	125	5	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	125	6	,	,	PUNCT
cana-5405	125	7	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	125	8	,	,	PUNCT
cana-5405	125	9	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	125	10	,	,	PUNCT
cana-5405	125	11	k휁	k휁	NOUN
cana-5405	125	12	)	)	PUNCT
cana-5405	125	13	≥	≥	NOUN
cana-5405	125	14	𝒬(ξ𝜛𝑛	𝒬(ξ𝜛𝑛	NUM
cana-5405	125	15	,	,	PUNCT
cana-5405	125	16	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	125	17	,	,	PUNCT
cana-5405	125	18	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	125	19	,	,	PUNCT
cana-5405	125	20	휁)∗	휁)∗	PUNCT
cana-5405	125	21	𝒬(ℑ𝜛𝑛	𝒬(ℑ𝜛𝑛	PROPN
cana-5405	125	22	,	,	PUNCT
cana-5405	125	23	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	125	24	,	,	PUNCT
cana-5405	125	25	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	125	26	,	,	PUNCT
cana-5405	125	27	휁	휁	NOUN
cana-5405	125	28	)	)	PUNCT
cana-5405	125	29	∗	∗	NOUN
cana-5405	125	30	𝒬	𝒬	PROPN
cana-5405	125	31	(	(	PUNCT
cana-5405	125	32	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	125	33	,	,	PUNCT
cana-5405	125	34	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	125	35	,	,	PUNCT
cana-5405	125	36	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	125	37	,	,	PUNCT
cana-5405	125	38	휁	휁	NOUN
cana-5405	125	39	)	)	PUNCT
cana-5405	125	40	≥	≥	NOUN
cana-5405	125	41	{	{	PUNCT
cana-5405	125	42	𝒬(ξ𝜛𝑛	𝒬(ξ𝜛𝑛	PROPN
cana-5405	125	43	,	,	PUNCT
cana-5405	125	44	u	u	NOUN
cana-5405	125	45	,	,	PUNCT
cana-5405	125	46	u	u	NOUN
cana-5405	125	47	,	,	PUNCT
cana-5405	125	48	½	½	NOUN
cana-5405	125	49	휁	휁	NOUN
cana-5405	125	50	)	)	PUNCT
cana-5405	125	51	∗	∗	NOUN
cana-5405	125	52	𝒬	𝒬	PROPN
cana-5405	125	53	(	(	PUNCT
cana-5405	125	54	u	u	PROPN
cana-5405	125	55	,	,	PUNCT
cana-5405	125	56	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	125	57	,	,	PUNCT
cana-5405	125	58	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	125	59	,	,	PUNCT
cana-5405	125	60	½	½	NOUN
cana-5405	125	61	휁	휁	NOUN
cana-5405	125	62	)	)	PUNCT
cana-5405	125	63	∗	∗	NOUN
cana-5405	125	64	𝒬	𝒬	PROPN
cana-5405	125	65	(	(	PUNCT
cana-5405	125	66	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	125	67	,	,	PUNCT
cana-5405	125	68	u	u	NOUN
cana-5405	125	69	,	,	PUNCT
cana-5405	125	70	u	u	NOUN
cana-5405	125	71	,	,	PUNCT
cana-5405	125	72	½	½	NOUN
cana-5405	125	73	휁	휁	NOUN
cana-5405	125	74	)	)	PUNCT
cana-5405	125	75	∗	∗	NOUN
cana-5405	125	76	𝒬	𝒬	PROPN
cana-5405	125	77	(	(	PUNCT
cana-5405	125	78	u	u	PROPN
cana-5405	125	79	,	,	PUNCT
cana-5405	125	80	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	125	81	,	,	PUNCT
cana-5405	125	82	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	125	83	,	,	PUNCT
cana-5405	125	84	½	½	NOUN
cana-5405	125	85	휁	휁	NOUN
cana-5405	125	86	)	)	PUNCT
cana-5405	125	87	∗	∗	NOUN
cana-5405	125	88	𝒬	𝒬	PROPN
cana-5405	125	89	(	(	PUNCT
cana-5405	125	90	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	125	91	,	,	PUNCT
cana-5405	125	92	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	125	93	,	,	PUNCT
cana-5405	125	94	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	125	95	,	,	PUNCT
cana-5405	125	96	휁	휁	NOUN
cana-5405	125	97	)	)	PUNCT
cana-5405	125	98	}	}	PUNCT
cana-5405	126	1	ℋ(ℑ𝜛𝑛	ℋ(ℑ𝜛𝑛	ADV
cana-5405	126	2	,	,	PUNCT
cana-5405	126	3	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	126	4	,	,	PUNCT
cana-5405	126	5	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	126	6	,	,	PUNCT
cana-5405	126	7	k휁	k휁	NOUN
cana-5405	126	8	)	)	PUNCT
cana-5405	126	9	≤	≤	NOUN
cana-5405	126	10	ℋ(ξ𝜛𝑛	ℋ(ξ𝜛𝑛	NUM
cana-5405	126	11	,	,	PUNCT
cana-5405	126	12	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	126	13	,	,	PUNCT
cana-5405	126	14	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	126	15	,	,	PUNCT
cana-5405	126	16	휁	휁	NOUN
cana-5405	126	17	)	)	PUNCT
cana-5405	126	18	◊	◊	PROPN
cana-5405	127	1	ℋ(ℑ𝜛𝑛	ℋ(ℑ𝜛𝑛	PROPN
cana-5405	127	2	,	,	PUNCT
cana-5405	127	3	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	4	,	,	PUNCT
cana-5405	127	5	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	6	,	,	PUNCT
cana-5405	127	7	휁	휁	NOUN
cana-5405	127	8	)	)	PUNCT
cana-5405	127	9	◊	◊	PROPN
cana-5405	127	10	ℋ(η𝜛𝑛,ℶ𝜔𝑛	ℋ(η𝜛𝑛,ℶ𝜔𝑛	PROPN
cana-5405	127	11	,	,	PUNCT
cana-5405	127	12	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	127	13	,	,	PUNCT
cana-5405	127	14	휁	휁	NOUN
cana-5405	127	15	)	)	PUNCT
cana-5405	127	16	≤	≤	NOUN
cana-5405	127	17	{	{	PUNCT
cana-5405	127	18	ℋ(ξ𝜛𝑛	ℋ(ξ𝜛𝑛	NUM
cana-5405	127	19	,	,	PUNCT
cana-5405	127	20	u	u	NOUN
cana-5405	127	21	,	,	PUNCT
cana-5405	127	22	u	u	NOUN
cana-5405	127	23	,	,	PUNCT
cana-5405	127	24	½	½	NOUN
cana-5405	127	25	휁	휁	NOUN
cana-5405	127	26	)	)	PUNCT
cana-5405	127	27	◊	◊	PROPN
cana-5405	127	28	ℋ	ℋ	PROPN
cana-5405	127	29	(	(	PUNCT
cana-5405	127	30	u	u	PROPN
cana-5405	127	31	,	,	PUNCT
cana-5405	127	32	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	33	,	,	PUNCT
cana-5405	127	34	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	35	,	,	PUNCT
cana-5405	127	36	½	½	NOUN
cana-5405	127	37	휁	휁	NOUN
cana-5405	127	38	)	)	PUNCT
cana-5405	127	39	◊	◊	PROPN
cana-5405	127	40	ℋ	ℋ	PROPN
cana-5405	127	41	(	(	PUNCT
cana-5405	127	42	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	127	43	,	,	PUNCT
cana-5405	127	44	u	u	NOUN
cana-5405	127	45	,	,	PUNCT
cana-5405	127	46	u	u	NOUN
cana-5405	127	47	,	,	PUNCT
cana-5405	127	48	½	½	NOUN
cana-5405	127	49	휁	휁	NOUN
cana-5405	127	50	)	)	PUNCT
cana-5405	127	51	◊	◊	PROPN
cana-5405	127	52	ℋ	ℋ	PROPN
cana-5405	127	53	(	(	PUNCT
cana-5405	127	54	u	u	PROPN
cana-5405	127	55	,	,	PUNCT
cana-5405	127	56	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	57	,	,	PUNCT
cana-5405	127	58	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	59	,	,	PUNCT
cana-5405	127	60	½	½	NOUN
cana-5405	127	61	휁	휁	NOUN
cana-5405	127	62	)	)	PUNCT
cana-5405	127	63	◊	◊	PROPN
cana-5405	127	64	ℋ	ℋ	PROPN
cana-5405	127	65	(	(	PUNCT
cana-5405	127	66	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	127	67	,	,	PUNCT
cana-5405	127	68	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	127	69	,	,	PUNCT
cana-5405	127	70	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	127	71	,	,	PUNCT
cana-5405	127	72	휁	휁	NOUN
cana-5405	127	73	)	)	PUNCT
cana-5405	127	74	}	}	PUNCT
cana-5405	127	75	𝒪	𝒪	PROPN
cana-5405	127	76	(	(	PUNCT
cana-5405	127	77	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	127	78	,	,	PUNCT
cana-5405	127	79	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	127	80	,	,	PUNCT
cana-5405	127	81	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	127	82	,	,	PUNCT
cana-5405	127	83	k휁	k휁	NOUN
cana-5405	127	84	)	)	PUNCT
cana-5405	127	85	≤	≤	NOUN
cana-5405	127	86	𝒪	𝒪	PROPN
cana-5405	127	87	(	(	PUNCT
cana-5405	127	88	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	127	89	,	,	PUNCT
cana-5405	127	90	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	91	,	,	PUNCT
cana-5405	127	92	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	93	,	,	PUNCT
cana-5405	127	94	휁	휁	NOUN
cana-5405	127	95	)	)	PUNCT
cana-5405	127	96	◊	◊	PROPN
cana-5405	127	97	𝒪	𝒪	PROPN
cana-5405	127	98	(	(	PUNCT
cana-5405	127	99	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	127	100	,	,	PUNCT
cana-5405	127	101	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	102	,	,	PUNCT
cana-5405	127	103	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	104	,	,	PUNCT
cana-5405	127	105	휁	휁	NOUN
cana-5405	127	106	)	)	PUNCT
cana-5405	127	107	◊	◊	PROPN
cana-5405	127	108	𝒪(η𝜛𝑛,ℶ𝜔𝑛	𝒪(η𝜛𝑛,ℶ𝜔𝑛	NOUN
cana-5405	127	109	,	,	PUNCT
cana-5405	127	110	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	127	111	,	,	PUNCT
cana-5405	127	112	휁	휁	NOUN
cana-5405	127	113	)	)	PUNCT
cana-5405	127	114	≤	≤	NOUN
cana-5405	127	115	{	{	PUNCT
cana-5405	127	116	𝒪(ξ𝜛𝑛	𝒪(ξ𝜛𝑛	ADJ
cana-5405	127	117	,	,	PUNCT
cana-5405	127	118	u	u	NOUN
cana-5405	127	119	,	,	PUNCT
cana-5405	127	120	u	u	NOUN
cana-5405	127	121	,	,	PUNCT
cana-5405	127	122	½	½	NOUN
cana-5405	127	123	휁	휁	NOUN
cana-5405	127	124	)	)	PUNCT
cana-5405	127	125	◊	◊	PROPN
cana-5405	127	126	𝒪	𝒪	PROPN
cana-5405	127	127	(	(	PUNCT
cana-5405	127	128	u	u	NOUN
cana-5405	127	129	,	,	PUNCT
cana-5405	127	130	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	131	,	,	PUNCT
cana-5405	127	132	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	133	,	,	PUNCT
cana-5405	127	134	½	½	NOUN
cana-5405	127	135	휁	휁	NOUN
cana-5405	127	136	)	)	PUNCT
cana-5405	127	137	◊	◊	PROPN
cana-5405	127	138	𝒪	𝒪	NOUN
cana-5405	127	139	(	(	PUNCT
cana-5405	127	140	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	127	141	,	,	PUNCT
cana-5405	127	142	u	u	NOUN
cana-5405	127	143	,	,	PUNCT
cana-5405	127	144	u	u	NOUN
cana-5405	127	145	,	,	PUNCT
cana-5405	127	146	½	½	NOUN
cana-5405	127	147	휁	휁	NOUN
cana-5405	127	148	)	)	PUNCT
cana-5405	127	149	◊	◊	PROPN
cana-5405	127	150	𝒪	𝒪	PROPN
cana-5405	127	151	(	(	PUNCT
cana-5405	127	152	u	u	PROPN
cana-5405	127	153	,	,	PUNCT
cana-5405	127	154	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	127	155	,	,	PUNCT
cana-5405	127	156	η𝜏𝑛+1	η𝜏𝑛+1	PROPN
cana-5405	127	157	,	,	PUNCT
cana-5405	127	158	½	½	NOUN
cana-5405	127	159	휁	휁	NOUN
cana-5405	127	160	)	)	PUNCT
cana-5405	127	161	◊	◊	PROPN
cana-5405	127	162	𝒪	𝒪	PROPN
cana-5405	127	163	(	(	PUNCT
cana-5405	127	164	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	127	165	,	,	PUNCT
cana-5405	127	166	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	127	167	,	,	PUNCT
cana-5405	127	168	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	127	169	,	,	PUNCT
cana-5405	127	170	휁	휁	NOUN
cana-5405	127	171	)	)	PUNCT
cana-5405	127	172	there	there	PRON
cana-5405	127	173	exists	exist	VERB
cana-5405	127	174	𝛿	𝛿	PROPN
cana-5405	127	175	>	>	X
cana-5405	127	176	0	0	NUM
cana-5405	127	177	such	such	ADJ
cana-5405	127	178	that	that	SCONJ
cana-5405	127	179	k	k	PROPN
cana-5405	128	1	+	+	ADP
cana-5405	128	2	𝛿	𝛿	X
cana-5405	128	3	<	<	X
cana-5405	128	4	1	1	NUM
cana-5405	128	5	,	,	PUNCT
cana-5405	128	6	for	for	ADP
cana-5405	128	7	k	k	PROPN
cana-5405	128	8	∈	∈	PROPN
cana-5405	128	9	(	(	PUNCT
cana-5405	128	10	0,1	0,1	NUM
cana-5405	128	11	)	)	PUNCT
cana-5405	128	12	.	.	PUNCT
cana-5405	129	1	on	on	ADP
cana-5405	129	2	making	make	VERB
cana-5405	129	3	n	n	PRON
cana-5405	129	4	→	→	SYM
cana-5405	129	5	∞	∞	NUM
cana-5405	129	6	and	and	CCONJ
cana-5405	129	7	by	by	ADP
cana-5405	129	8	the	the	DET
cana-5405	129	9	symmetry	symmetry	NOUN
cana-5405	129	10	neutrosophic	neutrosophic	PROPN
cana-5405	129	11	metric	metric	ADJ
cana-5405	129	12	space	space	NOUN
cana-5405	129	13	,	,	PUNCT
cana-5405	129	14	we	we	PRON
cana-5405	129	15	have	have	VERB
cana-5405	129	16	communications	communication	NOUN
cana-5405	129	17	on	on	ADP
cana-5405	129	18	applied	apply	VERB
cana-5405	129	19	nonlinear	nonlinear	ADJ
cana-5405	129	20	analysis	analysis	NOUN
cana-5405	129	21	issn	issn	NOUN
cana-5405	129	22	:	:	PUNCT
cana-5405	129	23	1074	1074	NUM
cana-5405	129	24	-	-	PUNCT
cana-5405	129	25	133x	133x	NUM
cana-5405	129	26	vol	vol	VERB
cana-5405	129	27	32	32	NUM
cana-5405	129	28	no	no	NOUN
cana-5405	129	29	.	.	PUNCT
cana-5405	130	1	10s	10	NOUN
cana-5405	130	2	(	(	PUNCT
cana-5405	130	3	2025	2025	NUM
cana-5405	130	4	)	)	PUNCT
cana-5405	130	5	2154	2154	NUM
cana-5405	130	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	131	1	lim	lim	PROPN
cana-5405	131	2	𝑛→∞	𝑛→∞	NUM
cana-5405	131	3	𝒬	𝒬	PROPN
cana-5405	131	4	(	(	PUNCT
cana-5405	131	5	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	131	6	,	,	PUNCT
cana-5405	131	7	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	131	8	,	,	PUNCT
cana-5405	131	9	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	131	10	,	,	PUNCT
cana-5405	131	11	k휁	k휁	NOUN
cana-5405	131	12	)	)	PUNCT
cana-5405	131	13	≥	≥	NOUN
cana-5405	131	14	1	1	NUM
cana-5405	131	15	∗	∗	NOUN
cana-5405	131	16	1	1	NUM
cana-5405	131	17	∗	∗	NOUN
cana-5405	131	18	1	1	NUM
cana-5405	131	19	∗	∗	NOUN
cana-5405	131	20	1	1	NUM
cana-5405	131	21	lim	lim	NOUN
cana-5405	131	22	𝑛→∞	𝑛→∞	NUM
cana-5405	131	23	𝒬(ℑ𝜛𝑛	𝒬(ℑ𝜛𝑛	PROPN
cana-5405	131	24	,	,	PUNCT
cana-5405	131	25	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	131	26	,	,	PUNCT
cana-5405	131	27	ℱ𝜏n	ℱ𝜏n	PROPN
cana-5405	131	28	[	[	PUNCT
cana-5405	131	29	1(k	1(k	NUM
cana-5405	131	30	+	+	CCONJ
cana-5405	131	31	δ	δ	X
cana-5405	131	32	)	)	PUNCT
cana-5405	131	33	]	]	PUNCT
cana-5405	132	1	휁	휁	X
cana-5405	132	2	)	)	PUNCT
cana-5405	132	3	∗	∗	NOUN
cana-5405	132	4	lim	lim	PROPN
cana-5405	132	5	𝑛→∞	𝑛→∞	NUM
cana-5405	132	6	𝒬(ℑ𝜛𝑛	𝒬(ℑ𝜛𝑛	PROPN
cana-5405	132	7	,	,	PUNCT
cana-5405	132	8	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	132	9	,	,	PUNCT
cana-5405	132	10	ℱ𝜏n+1	ℱ𝜏n+1	PROPN
cana-5405	132	11	,	,	PUNCT
cana-5405	132	12	(	(	PUNCT
cana-5405	132	13	k	k	PROPN
cana-5405	132	14	+	+	CCONJ
cana-5405	132	15	δ	δ	PROPN
cana-5405	132	16	)	)	PUNCT
cana-5405	132	17	]	]	PUNCT
cana-5405	133	1	휁	휁	X
cana-5405	133	2	)	)	PUNCT
cana-5405	133	3	≥	≥	NOUN
cana-5405	133	4	1	1	NUM
cana-5405	133	5	∗	∗	NOUN
cana-5405	133	6	1	1	NUM
cana-5405	133	7	∗	∗	NOUN
cana-5405	133	8	1	1	NUM
cana-5405	133	9	∗	∗	NOUN
cana-5405	133	10	1	1	NUM
cana-5405	133	11	∗	∗	NOUN
cana-5405	133	12	1	1	NUM
cana-5405	133	13	lim	lim	NOUN
cana-5405	133	14	𝑛→∞	𝑛→∞	NUM
cana-5405	133	15	𝒬(ℑ𝜛𝑛	𝒬(ℑ𝜛𝑛	PROPN
cana-5405	133	16	,	,	PUNCT
cana-5405	133	17	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	133	18	,	,	PUNCT
cana-5405	133	19	ℱ𝜏n+1	ℱ𝜏n+1	PROPN
cana-5405	133	20	,	,	PUNCT
cana-5405	133	21	(	(	PUNCT
cana-5405	133	22	k	k	PROPN
cana-5405	133	23	+	+	CCONJ
cana-5405	133	24	δ	δ	PROPN
cana-5405	133	25	)	)	PUNCT
cana-5405	133	26	]	]	PUNCT
cana-5405	134	1	휁	휁	X
cana-5405	134	2	)	)	PUNCT
cana-5405	134	3	lim	lim	NOUN
cana-5405	134	4	𝑛→∞	𝑛→∞	NUM
cana-5405	134	5	ℋ	ℋ	PROPN
cana-5405	134	6	(	(	PUNCT
cana-5405	134	7	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	134	8	,	,	PUNCT
cana-5405	134	9	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	134	10	,	,	PUNCT
cana-5405	134	11	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	134	12	,	,	PUNCT
cana-5405	134	13	k휁	k휁	NOUN
cana-5405	134	14	)	)	PUNCT
cana-5405	134	15	≤	≤	NOUN
cana-5405	134	16	0	0	PUNCT
cana-5405	135	1	◊	◊	NOUN
cana-5405	135	2	0	0	NUM
cana-5405	136	1	◊	◊	NOUN
cana-5405	136	2	0	0	NUM
cana-5405	137	1	◊	◊	NOUN
cana-5405	137	2	0	0	NUM
cana-5405	137	3	lim	lim	NOUN
cana-5405	137	4	𝑛→∞	𝑛→∞	NUM
cana-5405	137	5	ℋ(ℑ𝜛𝑛	ℋ(ℑ𝜛𝑛	PROPN
cana-5405	137	6	,	,	PUNCT
cana-5405	137	7	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	137	8	,	,	PUNCT
cana-5405	137	9	ℱ𝜏n	ℱ𝜏n	PROPN
cana-5405	137	10	[	[	PUNCT
cana-5405	137	11	1(k	1(k	NUM
cana-5405	137	12	+	+	CCONJ
cana-5405	137	13	δ	δ	X
cana-5405	137	14	)	)	PUNCT
cana-5405	137	15	]	]	PUNCT
cana-5405	138	1	휁	휁	X
cana-5405	138	2	)	)	PUNCT
cana-5405	138	3	◊	◊	PROPN
cana-5405	138	4	lim	lim	NOUN
cana-5405	138	5	𝑛→∞	𝑛→∞	NUM
cana-5405	138	6	ℋ(ℑ𝜛𝑛	ℋ(ℑ𝜛𝑛	PROPN
cana-5405	138	7	,	,	PUNCT
cana-5405	138	8	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	138	9	,	,	PUNCT
cana-5405	138	10	ℱ𝜏n+1	ℱ𝜏n+1	PROPN
cana-5405	138	11	,	,	PUNCT
cana-5405	138	12	(	(	PUNCT
cana-5405	138	13	k	k	PROPN
cana-5405	138	14	+	+	CCONJ
cana-5405	138	15	δ	δ	PROPN
cana-5405	138	16	)	)	PUNCT
cana-5405	138	17	]	]	PUNCT
cana-5405	139	1	휁	휁	X
cana-5405	139	2	)	)	PUNCT
cana-5405	139	3	≤	≤	NOUN
cana-5405	139	4	0	0	PUNCT
cana-5405	140	1	◊	◊	NOUN
cana-5405	140	2	0	0	NUM
cana-5405	141	1	◊	◊	NOUN
cana-5405	141	2	0	0	NUM
cana-5405	142	1	◊	◊	NOUN
cana-5405	142	2	0	0	NUM
cana-5405	142	3	lim	lim	NOUN
cana-5405	142	4	𝑛→∞	𝑛→∞	NUM
cana-5405	142	5	𝒪(ℑ𝜛𝑛	𝒪(ℑ𝜛𝑛	PROPN
cana-5405	142	6	,	,	PUNCT
cana-5405	142	7	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	142	8	,	,	PUNCT
cana-5405	142	9	ℱ𝜏n+1	ℱ𝜏n+1	PROPN
cana-5405	142	10	,	,	PUNCT
cana-5405	142	11	(	(	PUNCT
cana-5405	142	12	k	k	PROPN
cana-5405	142	13	+	+	CCONJ
cana-5405	142	14	δ	δ	PROPN
cana-5405	142	15	)	)	PUNCT
cana-5405	142	16	]	]	PUNCT
cana-5405	143	1	휁	휁	X
cana-5405	143	2	)	)	PUNCT
cana-5405	143	3	lim	lim	NOUN
cana-5405	143	4	𝑛→∞	𝑛→∞	NUM
cana-5405	143	5	𝒪	𝒪	PROPN
cana-5405	143	6	(	(	PUNCT
cana-5405	143	7	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	143	8	,	,	PUNCT
cana-5405	143	9	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	143	10	,	,	PUNCT
cana-5405	143	11	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	143	12	,	,	PUNCT
cana-5405	143	13	k휁	k휁	NOUN
cana-5405	143	14	)	)	PUNCT
cana-5405	143	15	≤	≤	NOUN
cana-5405	143	16	0	0	PUNCT
cana-5405	144	1	◊	◊	NOUN
cana-5405	144	2	0	0	NUM
cana-5405	145	1	◊	◊	NOUN
cana-5405	145	2	0	0	NUM
cana-5405	146	1	◊	◊	NOUN
cana-5405	146	2	0	0	NUM
cana-5405	146	3	lim	lim	NOUN
cana-5405	146	4	𝑛→∞	𝑛→∞	NUM
cana-5405	146	5	𝒪(ℑ𝜛𝑛	𝒪(ℑ𝜛𝑛	PROPN
cana-5405	146	6	,	,	PUNCT
cana-5405	146	7	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	146	8	,	,	PUNCT
cana-5405	146	9	ℱ𝜏n	ℱ𝜏n	PROPN
cana-5405	146	10	[	[	PUNCT
cana-5405	146	11	1(k	1(k	NUM
cana-5405	146	12	+	+	CCONJ
cana-5405	146	13	δ	δ	X
cana-5405	146	14	)	)	PUNCT
cana-5405	146	15	]	]	PUNCT
cana-5405	147	1	휁	휁	X
cana-5405	147	2	)	)	PUNCT
cana-5405	147	3	◊	◊	PROPN
cana-5405	147	4	lim	lim	PROPN
cana-5405	147	5	𝑛→∞	𝑛→∞	NUM
cana-5405	147	6	𝒪(ℑ𝜛𝑛	𝒪(ℑ𝜛𝑛	PROPN
cana-5405	147	7	,	,	PUNCT
cana-5405	147	8	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	147	9	,	,	PUNCT
cana-5405	147	10	ℱ𝜏n+1	ℱ𝜏n+1	PROPN
cana-5405	147	11	,	,	PUNCT
cana-5405	147	12	(	(	PUNCT
cana-5405	147	13	k	k	PROPN
cana-5405	147	14	+	+	CCONJ
cana-5405	147	15	δ	δ	PROPN
cana-5405	147	16	)	)	PUNCT
cana-5405	147	17	]	]	PUNCT
cana-5405	148	1	휁	휁	X
cana-5405	148	2	)	)	PUNCT
cana-5405	148	3	≤	≤	NOUN
cana-5405	148	4	0	0	PUNCT
cana-5405	149	1	◊	◊	NOUN
cana-5405	149	2	0	0	NUM
cana-5405	150	1	◊	◊	NOUN
cana-5405	150	2	0	0	NUM
cana-5405	151	1	◊	◊	NOUN
cana-5405	151	2	0	0	PUNCT
cana-5405	151	3	hence	hence	ADV
cana-5405	151	4	lim	lim	PROPN
cana-5405	151	5	𝑛→∞	𝑛→∞	NUM
cana-5405	151	6	ℑ	ℑ	NOUN
cana-5405	151	7	𝜛𝑛	𝜛𝑛	NOUN
cana-5405	151	8	=	=	PUNCT
cana-5405	151	9	lim	lim	PROPN
cana-5405	151	10	n→∞	n→∞	X
cana-5405	152	1	ℶ	ℶ	NOUN
cana-5405	152	2	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	152	3	=	=	PUNCT
cana-5405	152	4	lim	lim	NOUN
cana-5405	152	5	n→∞	n→∞	X
cana-5405	153	1	ℱ𝜏𝑛	ℱ𝜏𝑛	PROPN
cana-5405	153	2	=	=	PROPN
cana-5405	153	3	lim	lim	PROPN
cana-5405	153	4	n→∞	n→∞	NUM
cana-5405	153	5	ℌ	ℌ	PROPN
cana-5405	153	6	𝜏𝑛	𝜏𝑛	VERB
cana-5405	153	7	=	=	PUNCT
cana-5405	153	8	lim	lim	PROPN
cana-5405	153	9	n→∞	n→∞	NUM
cana-5405	153	10	η	η	PROPN
cana-5405	153	11	𝜔𝑛	𝜔𝑛	PROPN
cana-5405	153	12	=	=	PUNCT
cana-5405	153	13	lim	lim	PROPN
cana-5405	153	14	n→∞	n→∞	NUM
cana-5405	153	15	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	153	16	=	=	SYM
cana-5405	153	17	u	u	PRON
cana-5405	153	18	let	let	VERB
cana-5405	153	19	(	(	PUNCT
cana-5405	153	20	ξ	ξ	X
cana-5405	153	21	,	,	PUNCT
cana-5405	153	22	𝒬	𝒬	PROPN
cana-5405	153	23	,	,	PUNCT
cana-5405	153	24	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	153	25	*	*	PUNCT
cana-5405	153	26	,	,	PUNCT
cana-5405	153	27			PROPN
cana-5405	153	28	)	)	PUNCT
cana-5405	153	29	is	be	AUX
cana-5405	153	30	a	a	DET
cana-5405	153	31	complete	complete	ADJ
cana-5405	153	32	neutrosophic	neutrosophic	ADJ
cana-5405	153	33	metric	metric	ADJ
cana-5405	153	34	space	space	NOUN
cana-5405	153	35	,	,	PUNCT
cana-5405	153	36	there	there	PRON
cana-5405	153	37	exists	exist	VERB
cana-5405	153	38	𝜛0	𝜛0	PROPN
cana-5405	153	39	∈	∈	PROPN
cana-5405	153	40	ξ	ξ	PROPN
cana-5405	153	41	such	such	ADJ
cana-5405	153	42	that	that	DET
cana-5405	153	43	ξ𝜛0	ξ𝜛0	NOUN
cana-5405	153	44	=	=	SYM
cana-5405	153	45	u	u	NOUN
cana-5405	153	46	⇒	⇒	X
cana-5405	153	47	𝒬	𝒬	PROPN
cana-5405	153	48	(	(	PUNCT
cana-5405	153	49	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	153	50	,	,	PUNCT
cana-5405	153	51	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	153	52	,	,	PUNCT
cana-5405	153	53	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	153	54	,	,	PUNCT
cana-5405	153	55	k휁	k휁	NOUN
cana-5405	153	56	)	)	PUNCT
cana-5405	153	57	≥	≥	NOUN
cana-5405	153	58	𝒬	𝒬	PROPN
cana-5405	153	59	(	(	PUNCT
cana-5405	153	60	η𝜛0	η𝜛0	PROPN
cana-5405	153	61	,	,	PUNCT
cana-5405	153	62	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	153	63	,	,	PUNCT
cana-5405	153	64	ξ	ξ	PROPN
cana-5405	153	65	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	153	66	,	,	PUNCT
cana-5405	153	67	휁	휁	NOUN
cana-5405	153	68	)	)	PUNCT
cana-5405	153	69	∗	∗	NOUN
cana-5405	153	70	𝒬(ℑ𝜛0	𝒬(ℑ𝜛0	PROPN
cana-5405	153	71	,	,	PUNCT
cana-5405	153	72	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	153	73	,	,	PUNCT
cana-5405	153	74	ξ	ξ	PROPN
cana-5405	153	75	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	153	76	,	,	PUNCT
cana-5405	153	77	휁	휁	NOUN
cana-5405	153	78	)	)	PUNCT
cana-5405	153	79	∗	∗	NOUN
cana-5405	153	80	𝒬	𝒬	PROPN
cana-5405	153	81	(	(	PUNCT
cana-5405	153	82	ξ𝜛0	ξ𝜛0	PROPN
cana-5405	153	83	,	,	PUNCT
cana-5405	153	84	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	153	85	,	,	PUNCT
cana-5405	153	86	ξ	ξ	PROPN
cana-5405	153	87	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	153	88	,	,	PUNCT
cana-5405	153	89	휁	휁	NOUN
cana-5405	153	90	)	)	PUNCT
cana-5405	153	91	if	if	SCONJ
cana-5405	153	92	n	n	PROPN
cana-5405	153	93	→	→	SYM
cana-5405	153	94	∞	∞	PROPN
cana-5405	153	95	we	we	PRON
cana-5405	153	96	can	can	AUX
cana-5405	153	97	get	get	VERB
cana-5405	153	98	𝒬	𝒬	PRON
cana-5405	153	99	(	(	PUNCT
cana-5405	153	100	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	153	101	,	,	PUNCT
cana-5405	153	102	u	u	NOUN
cana-5405	153	103	,	,	PUNCT
cana-5405	153	104	u	u	NOUN
cana-5405	153	105	,	,	PUNCT
cana-5405	153	106	휁	휁	NOUN
cana-5405	153	107	)	)	PUNCT
cana-5405	153	108	≥	≥	NOUN
cana-5405	153	109	1	1	NUM
cana-5405	153	110	∗	∗	NOUN
cana-5405	153	111	𝒬	𝒬	PROPN
cana-5405	153	112	(	(	PUNCT
cana-5405	153	113	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	153	114	,	,	PUNCT
cana-5405	153	115	u	u	NOUN
cana-5405	153	116	,	,	PUNCT
cana-5405	153	117	u	u	NOUN
cana-5405	153	118	,	,	PUNCT
cana-5405	153	119	휁	휁	NOUN
cana-5405	153	120	)	)	PUNCT
cana-5405	153	121	∗	∗	NOUN
cana-5405	153	122	1	1	NUM
cana-5405	153	123	.	.	PUNCT
cana-5405	154	1	by	by	ADP
cana-5405	154	2	the	the	DET
cana-5405	154	3	property	property	NOUN
cana-5405	154	4	of	of	ADP
cana-5405	154	5	nondecreasing	nondecrease	VERB
cana-5405	154	6	with	with	ADP
cana-5405	154	7	respect	respect	NOUN
cana-5405	154	8	to	to	ADP
cana-5405	154	9	휁	휁	NOUN
cana-5405	154	10	,	,	PUNCT
cana-5405	154	11	ξ	ξ	PROPN
cana-5405	154	12	𝜛0	𝜛0	NOUN
cana-5405	154	13	=	=	PUNCT
cana-5405	154	14	u	u	NOUN
cana-5405	154	15	⇒	⇒	X
cana-5405	154	16	ℋ	ℋ	PROPN
cana-5405	154	17	(	(	PUNCT
cana-5405	154	18	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	154	19	,	,	PUNCT
cana-5405	154	20	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	154	21	,	,	PUNCT
cana-5405	154	22	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	154	23	,	,	PUNCT
cana-5405	154	24	k휁	k휁	NOUN
cana-5405	154	25	)	)	PUNCT
cana-5405	154	26	≤	≤	NOUN
cana-5405	154	27	ℋ	ℋ	PROPN
cana-5405	154	28	(	(	PUNCT
cana-5405	154	29	η𝜛0	η𝜛0	PROPN
cana-5405	154	30	,	,	PUNCT
cana-5405	154	31	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	154	32	,	,	PUNCT
cana-5405	154	33	ξ	ξ	PROPN
cana-5405	154	34	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	154	35	,	,	PUNCT
cana-5405	154	36	휁	휁	NOUN
cana-5405	154	37	)	)	PUNCT
cana-5405	154	38	◊	◊	PROPN
cana-5405	154	39	ℋ(ℑ𝜛0	ℋ(ℑ𝜛0	NOUN
cana-5405	154	40	,	,	PUNCT
cana-5405	154	41	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	154	42	,	,	PUNCT
cana-5405	154	43	ξ	ξ	PROPN
cana-5405	154	44	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	154	45	,	,	PUNCT
cana-5405	154	46	휁	휁	NOUN
cana-5405	154	47	)	)	PUNCT
cana-5405	154	48	◊	◊	PROPN
cana-5405	154	49	ℋ	ℋ	PROPN
cana-5405	154	50	(	(	PUNCT
cana-5405	154	51	ξ𝜛0	ξ𝜛0	PROPN
cana-5405	154	52	,	,	PUNCT
cana-5405	154	53	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	154	54	,	,	PUNCT
cana-5405	154	55	ξ	ξ	PROPN
cana-5405	154	56	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	154	57	,	,	PUNCT
cana-5405	154	58	휁	휁	NOUN
cana-5405	154	59	)	)	PUNCT
cana-5405	154	60	if	if	SCONJ
cana-5405	154	61	n	n	PROPN
cana-5405	154	62	→	→	SYM
cana-5405	154	63	∞	∞	PROPN
cana-5405	154	64	we	we	PRON
cana-5405	154	65	can	can	AUX
cana-5405	154	66	get	get	VERB
cana-5405	154	67	ℋ	ℋ	PROPN
cana-5405	154	68	(	(	PUNCT
cana-5405	154	69	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	154	70	,	,	PUNCT
cana-5405	154	71	u	u	NOUN
cana-5405	154	72	,	,	PUNCT
cana-5405	154	73	u	u	NOUN
cana-5405	154	74	,	,	PUNCT
cana-5405	154	75	휁	휁	NOUN
cana-5405	154	76	)	)	PUNCT
cana-5405	154	77	≤	≤	NOUN
cana-5405	154	78	0	0	NUM
cana-5405	155	1	◊	◊	PROPN
cana-5405	155	2	ℋ	ℋ	PROPN
cana-5405	155	3	(	(	PUNCT
cana-5405	155	4	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	155	5	,	,	PUNCT
cana-5405	155	6	u	u	NOUN
cana-5405	155	7	,	,	PUNCT
cana-5405	155	8	u	u	NOUN
cana-5405	155	9	,	,	PUNCT
cana-5405	155	10	휁	휁	NOUN
cana-5405	155	11	)	)	PUNCT
cana-5405	155	12	◊	◊	NOUN
cana-5405	155	13	0	0	NUM
cana-5405	155	14	by	by	ADP
cana-5405	155	15	the	the	DET
cana-5405	155	16	property	property	NOUN
cana-5405	155	17	of	of	ADP
cana-5405	155	18	nonincreasing	nonincrease	VERB
cana-5405	155	19	with	with	ADP
cana-5405	155	20	respect	respect	NOUN
cana-5405	155	21	to	to	ADP
cana-5405	155	22	휁	휁	NOUN
cana-5405	155	23	,	,	PUNCT
cana-5405	155	24	ξ	ξ	PROPN
cana-5405	155	25	𝜛0	𝜛0	NOUN
cana-5405	155	26	=	=	PUNCT
cana-5405	155	27	u	u	NOUN
cana-5405	155	28	⇒	⇒	X
cana-5405	155	29	𝒪	𝒪	PROPN
cana-5405	155	30	(	(	PUNCT
cana-5405	155	31	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	155	32	,	,	PUNCT
cana-5405	155	33	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	155	34	,	,	PUNCT
cana-5405	155	35	ℱ𝜏𝑛+1	ℱ𝜏𝑛+1	PROPN
cana-5405	155	36	,	,	PUNCT
cana-5405	155	37	k휁	k휁	NOUN
cana-5405	155	38	)	)	PUNCT
cana-5405	155	39	≤	≤	NOUN
cana-5405	155	40	𝒪	𝒪	PROPN
cana-5405	155	41	(	(	PUNCT
cana-5405	155	42	η𝜛0	η𝜛0	PROPN
cana-5405	155	43	,	,	PUNCT
cana-5405	155	44	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	155	45	,	,	PUNCT
cana-5405	155	46	ξ	ξ	PROPN
cana-5405	155	47	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	155	48	,	,	PUNCT
cana-5405	155	49	휁	휁	NOUN
cana-5405	155	50	)	)	PUNCT
cana-5405	155	51	◊	◊	PROPN
cana-5405	155	52	𝒪(ℑ𝜛0	𝒪(ℑ𝜛0	PROPN
cana-5405	155	53	,	,	PUNCT
cana-5405	155	54	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	155	55	,	,	PUNCT
cana-5405	155	56	ξ	ξ	PROPN
cana-5405	155	57	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	155	58	,	,	PUNCT
cana-5405	155	59	휁	휁	NOUN
cana-5405	155	60	)	)	PUNCT
cana-5405	155	61	◊	◊	PROPN
cana-5405	155	62	𝒪	𝒪	NOUN
cana-5405	155	63	(	(	PUNCT
cana-5405	155	64	ξ𝜛0	ξ𝜛0	PROPN
cana-5405	155	65	,	,	PUNCT
cana-5405	155	66	ℌ𝜔𝑛	ℌ𝜔𝑛	PROPN
cana-5405	155	67	,	,	PUNCT
cana-5405	155	68	ξ	ξ	PROPN
cana-5405	155	69	𝜏𝑛+1	𝜏𝑛+1	PROPN
cana-5405	155	70	,	,	PUNCT
cana-5405	155	71	휁	휁	NOUN
cana-5405	155	72	)	)	PUNCT
cana-5405	155	73	if	if	SCONJ
cana-5405	155	74	n	n	PROPN
cana-5405	155	75	→	→	SYM
cana-5405	155	76	∞	∞	PROPN
cana-5405	155	77	we	we	PRON
cana-5405	155	78	can	can	AUX
cana-5405	155	79	get	get	VERB
cana-5405	155	80	𝒪	𝒪	PROPN
cana-5405	155	81	(	(	PUNCT
cana-5405	155	82	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	155	83	,	,	PUNCT
cana-5405	155	84	u	u	NOUN
cana-5405	155	85	,	,	PUNCT
cana-5405	155	86	u	u	NOUN
cana-5405	155	87	,	,	PUNCT
cana-5405	155	88	휁	휁	NOUN
cana-5405	155	89	)	)	PUNCT
cana-5405	155	90	≤	≤	NOUN
cana-5405	155	91	0	0	X
cana-5405	156	1	◊	◊	PROPN
cana-5405	156	2	𝒪	𝒪	PROPN
cana-5405	156	3	(	(	PUNCT
cana-5405	156	4	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	156	5	,	,	PUNCT
cana-5405	156	6	u	u	NOUN
cana-5405	156	7	,	,	PUNCT
cana-5405	156	8	u	u	NOUN
cana-5405	156	9	,	,	PUNCT
cana-5405	156	10	휁	휁	NOUN
cana-5405	156	11	)	)	PUNCT
cana-5405	157	1	◊	◊	NOUN
cana-5405	157	2	0	0	NUM
cana-5405	158	1	it	it	PRON
cana-5405	158	2	is	be	AUX
cana-5405	158	3	easy	easy	ADJ
cana-5405	158	4	to	to	PART
cana-5405	158	5	see	see	VERB
cana-5405	158	6	that	that	DET
cana-5405	158	7	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	158	8	=	=	SYM
cana-5405	158	9	ξ	ξ	PROPN
cana-5405	158	10	𝜛0	𝜛0	NOUN
cana-5405	158	11	=	=	X
cana-5405	158	12	u.	u.	VERB
cana-5405	158	13	as	as	ADP
cana-5405	158	14	ℑ(ξ	ℑ(ξ	PROPN
cana-5405	158	15	)	)	PUNCT
cana-5405	158	16	⊆	⊆	NUM
cana-5405	158	17	ℌ(ξ	ℌ(ξ	NOUN
cana-5405	158	18	)	)	PUNCT
cana-5405	158	19	,	,	PUNCT
cana-5405	158	20	there	there	PRON
cana-5405	158	21	exists	exist	VERB
cana-5405	158	22	𝜔0	𝜔0	NOUN
cana-5405	158	23	such	such	ADJ
cana-5405	158	24	that	that	DET
cana-5405	158	25	ℑ𝜛0	ℑ𝜛0	NOUN
cana-5405	158	26	=	=	SYM
cana-5405	158	27	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	158	28	.	.	PUNCT
cana-5405	159	1	suppose	suppose	VERB
cana-5405	159	2	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	159	3	≠	≠	PROPN
cana-5405	159	4	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	159	5	.	.	PUNCT
cana-5405	160	1	then	then	ADV
cana-5405	160	2	𝒬	𝒬	PROPN
cana-5405	160	3	(	(	PUNCT
cana-5405	160	4	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	160	5	,	,	PUNCT
cana-5405	160	6	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	7	,	,	PUNCT
cana-5405	160	8	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	9	,	,	PUNCT
cana-5405	160	10	k휁	k휁	NOUN
cana-5405	160	11	)	)	PUNCT
cana-5405	160	12	≥	≥	NOUN
cana-5405	160	13	𝒬	𝒬	PROPN
cana-5405	160	14	(	(	PUNCT
cana-5405	160	15	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	160	16	,	,	PUNCT
cana-5405	160	17	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	18	,	,	PUNCT
cana-5405	160	19	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	20	,	,	PUNCT
cana-5405	160	21	휁	휁	NOUN
cana-5405	160	22	)	)	PUNCT
cana-5405	160	23	∗	∗	NOUN
cana-5405	160	24	𝒬(ℑ𝜛𝑛	𝒬(ℑ𝜛𝑛	PROPN
cana-5405	160	25	,	,	PUNCT
cana-5405	160	26	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	27	,	,	PUNCT
cana-5405	160	28	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	29	,	,	PUNCT
cana-5405	160	30	휁	휁	NOUN
cana-5405	160	31	)	)	PUNCT
cana-5405	160	32	∗	∗	NOUN
cana-5405	160	33	𝒬(η𝜛𝑛	𝒬(η𝜛𝑛	PROPN
cana-5405	160	34	,	,	PUNCT
cana-5405	160	35	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	36	,	,	PUNCT
cana-5405	160	37	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	38	,	,	PUNCT
cana-5405	160	39	휁	휁	NOUN
cana-5405	160	40	)	)	PUNCT
cana-5405	160	41	≥	≥	NOUN
cana-5405	160	42	𝒬(η𝜛𝑛	𝒬(η𝜛𝑛	NUM
cana-5405	160	43	,	,	PUNCT
cana-5405	160	44	u	u	NOUN
cana-5405	160	45	,	,	PUNCT
cana-5405	160	46	u	u	NOUN
cana-5405	160	47	,	,	PUNCT
cana-5405	160	48	휁	휁	NOUN
cana-5405	160	49	)	)	PUNCT
cana-5405	160	50	∗	∗	NOUN
cana-5405	160	51	𝒬	𝒬	PROPN
cana-5405	160	52	(	(	PUNCT
cana-5405	160	53	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	160	54	,	,	PUNCT
cana-5405	160	55	u	u	NOUN
cana-5405	160	56	,	,	PUNCT
cana-5405	160	57	u	u	NOUN
cana-5405	160	58	,	,	PUNCT
cana-5405	160	59	휁	휁	NOUN
cana-5405	160	60	)	)	PUNCT
cana-5405	160	61	∗	∗	NOUN
cana-5405	160	62	𝒬(η𝜛𝑛	𝒬(η𝜛𝑛	PROPN
cana-5405	160	63	,	,	PUNCT
cana-5405	160	64	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	65	,	,	PUNCT
cana-5405	160	66	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	67	,	,	PUNCT
cana-5405	160	68	휁	휁	NOUN
cana-5405	160	69	)	)	PUNCT
cana-5405	160	70	ℋ	ℋ	PROPN
cana-5405	160	71	(	(	PUNCT
cana-5405	160	72	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	160	73	,	,	PUNCT
cana-5405	160	74	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	75	,	,	PUNCT
cana-5405	160	76	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	77	,	,	PUNCT
cana-5405	160	78	k휁	k휁	NOUN
cana-5405	160	79	)	)	PUNCT
cana-5405	160	80	≤	≤	NOUN
cana-5405	160	81	ℋ	ℋ	PROPN
cana-5405	160	82	(	(	PUNCT
cana-5405	160	83	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	160	84	,	,	PUNCT
cana-5405	160	85	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	86	,	,	PUNCT
cana-5405	160	87	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	88	,	,	PUNCT
cana-5405	160	89	휁	휁	NOUN
cana-5405	160	90	)	)	PUNCT
cana-5405	160	91	◊	◊	PROPN
cana-5405	160	92	ℋ(ℑ𝜛𝑛	ℋ(ℑ𝜛𝑛	ADV
cana-5405	160	93	,	,	PUNCT
cana-5405	160	94	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	95	,	,	PUNCT
cana-5405	160	96	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	160	97	,	,	PUNCT
cana-5405	160	98	휁	휁	NOUN
cana-5405	160	99	)	)	PUNCT
cana-5405	160	100	◊	◊	PROPN
cana-5405	160	101	ℋ(η𝜛𝑛	ℋ(η𝜛𝑛	PROPN
cana-5405	160	102	,	,	PUNCT
cana-5405	160	103	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	104	,	,	PUNCT
cana-5405	160	105	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	106	,	,	PUNCT
cana-5405	160	107	휁	휁	NOUN
cana-5405	160	108	)	)	PUNCT
cana-5405	160	109	≤	≤	NOUN
cana-5405	160	110	ℋ(η𝜛𝑛	ℋ(η𝜛𝑛	PROPN
cana-5405	160	111	,	,	PUNCT
cana-5405	160	112	u	u	NOUN
cana-5405	160	113	,	,	PUNCT
cana-5405	160	114	u	u	NOUN
cana-5405	160	115	,	,	PUNCT
cana-5405	160	116	휁	휁	NOUN
cana-5405	160	117	)	)	PUNCT
cana-5405	160	118	◊	◊	PROPN
cana-5405	160	119	ℋ	ℋ	PROPN
cana-5405	160	120	(	(	PUNCT
cana-5405	160	121	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	160	122	,	,	PUNCT
cana-5405	160	123	u	u	NOUN
cana-5405	160	124	,	,	PUNCT
cana-5405	160	125	u	u	NOUN
cana-5405	160	126	,	,	PUNCT
cana-5405	160	127	휁	휁	NOUN
cana-5405	160	128	)	)	PUNCT
cana-5405	160	129	◊	◊	PROPN
cana-5405	160	130	ℋ(η𝜛𝑛	ℋ(η𝜛𝑛	PROPN
cana-5405	160	131	,	,	PUNCT
cana-5405	160	132	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	133	,	,	PUNCT
cana-5405	160	134	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	160	135	,	,	PUNCT
cana-5405	160	136	휁	휁	NOUN
cana-5405	160	137	)	)	PUNCT
cana-5405	160	138	communications	communication	NOUN
cana-5405	160	139	on	on	ADP
cana-5405	160	140	applied	apply	VERB
cana-5405	160	141	nonlinear	nonlinear	ADJ
cana-5405	160	142	analysis	analysis	NOUN
cana-5405	160	143	issn	issn	NOUN
cana-5405	160	144	:	:	PUNCT
cana-5405	160	145	1074	1074	NUM
cana-5405	160	146	-	-	PUNCT
cana-5405	160	147	133x	133x	NUM
cana-5405	160	148	vol	vol	VERB
cana-5405	160	149	32	32	NUM
cana-5405	160	150	no	no	NOUN
cana-5405	160	151	.	.	PUNCT
cana-5405	161	1	10s	10	NOUN
cana-5405	161	2	(	(	PUNCT
cana-5405	161	3	2025	2025	NUM
cana-5405	161	4	)	)	PUNCT
cana-5405	161	5	2155	2155	NUM
cana-5405	161	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	162	1	𝒪	𝒪	PROPN
cana-5405	162	2	(	(	PUNCT
cana-5405	162	3	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	162	4	,	,	PUNCT
cana-5405	162	5	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	6	,	,	PUNCT
cana-5405	162	7	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	8	,	,	PUNCT
cana-5405	162	9	k휁	k휁	NOUN
cana-5405	162	10	)	)	PUNCT
cana-5405	162	11	≤	≤	NOUN
cana-5405	162	12	𝒪	𝒪	PROPN
cana-5405	162	13	(	(	PUNCT
cana-5405	162	14	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	162	15	,	,	PUNCT
cana-5405	162	16	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	162	17	,	,	PUNCT
cana-5405	162	18	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	162	19	,	,	PUNCT
cana-5405	162	20	휁	휁	NOUN
cana-5405	162	21	)	)	PUNCT
cana-5405	162	22	◊	◊	PROPN
cana-5405	162	23	𝒪(ℑ𝜛𝑛	𝒪(ℑ𝜛𝑛	PROPN
cana-5405	162	24	,	,	PUNCT
cana-5405	162	25	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	162	26	,	,	PUNCT
cana-5405	162	27	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	162	28	,	,	PUNCT
cana-5405	162	29	휁	휁	NOUN
cana-5405	162	30	)	)	PUNCT
cana-5405	162	31	◊	◊	PROPN
cana-5405	162	32	𝒪(η𝜛𝑛	𝒪(η𝜛𝑛	ADJ
cana-5405	162	33	,	,	PUNCT
cana-5405	162	34	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	35	,	,	PUNCT
cana-5405	162	36	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	37	,	,	PUNCT
cana-5405	162	38	휁	휁	NOUN
cana-5405	162	39	)	)	PUNCT
cana-5405	162	40	≤	≤	NOUN
cana-5405	162	41	𝒪	𝒪	PROPN
cana-5405	162	42	(	(	PUNCT
cana-5405	162	43	η𝜛𝑛	η𝜛𝑛	VERB
cana-5405	162	44	,	,	PUNCT
cana-5405	162	45	u	u	NOUN
cana-5405	162	46	,	,	PUNCT
cana-5405	162	47	u	u	NOUN
cana-5405	162	48	,	,	PUNCT
cana-5405	162	49	휁	휁	NOUN
cana-5405	162	50	)	)	PUNCT
cana-5405	162	51	◊	◊	PROPN
cana-5405	162	52	𝒪	𝒪	NOUN
cana-5405	162	53	(	(	PUNCT
cana-5405	162	54	ℑ𝜛𝑛	ℑ𝜛𝑛	PROPN
cana-5405	162	55	,	,	PUNCT
cana-5405	162	56	u	u	NOUN
cana-5405	162	57	,	,	PUNCT
cana-5405	162	58	u	u	NOUN
cana-5405	162	59	,	,	PUNCT
cana-5405	162	60	휁	휁	NOUN
cana-5405	162	61	)	)	PUNCT
cana-5405	162	62	◊	◊	PROPN
cana-5405	162	63	𝒪(η𝜛𝑛	𝒪(η𝜛𝑛	ADJ
cana-5405	162	64	,	,	PUNCT
cana-5405	162	65	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	66	,	,	PUNCT
cana-5405	162	67	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	68	,	,	PUNCT
cana-5405	162	69	휁	휁	NOUN
cana-5405	162	70	)	)	PUNCT
cana-5405	162	71	letting	let	VERB
cana-5405	162	72	n	n	PRON
cana-5405	162	73	→	→	SYM
cana-5405	162	74	∞	∞	NUM
cana-5405	162	75	we	we	PRON
cana-5405	162	76	have	have	VERB
cana-5405	162	77	𝒬	𝒬	PROPN
cana-5405	162	78	(	(	PUNCT
cana-5405	162	79	u	u	NOUN
cana-5405	162	80	,	,	PUNCT
cana-5405	162	81	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	82	,	,	PUNCT
cana-5405	162	83	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	84	,	,	PUNCT
cana-5405	162	85	k휁	k휁	NOUN
cana-5405	162	86	)	)	PUNCT
cana-5405	162	87	≥	≥	NOUN
cana-5405	162	88	𝒬	𝒬	PROPN
cana-5405	162	89	(	(	PUNCT
cana-5405	162	90	u	u	NOUN
cana-5405	162	91	,	,	PUNCT
cana-5405	162	92	u	u	NOUN
cana-5405	162	93	,	,	PUNCT
cana-5405	162	94	u	u	NOUN
cana-5405	162	95	,	,	PUNCT
cana-5405	162	96	휁	휁	NOUN
cana-5405	162	97	)	)	PUNCT
cana-5405	162	98	∗	∗	NOUN
cana-5405	162	99	𝒬	𝒬	PROPN
cana-5405	162	100	(	(	PUNCT
cana-5405	162	101	u	u	NOUN
cana-5405	162	102	,	,	PUNCT
cana-5405	162	103	u	u	NOUN
cana-5405	162	104	,	,	PUNCT
cana-5405	162	105	u	u	NOUN
cana-5405	162	106	,	,	PUNCT
cana-5405	162	107	휁	휁	NOUN
cana-5405	162	108	)	)	PUNCT
cana-5405	162	109	∗	∗	NOUN
cana-5405	162	110	𝒬	𝒬	PROPN
cana-5405	162	111	(	(	PUNCT
cana-5405	162	112	u	u	PROPN
cana-5405	162	113	,	,	PUNCT
cana-5405	162	114	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	115	,	,	PUNCT
cana-5405	162	116	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	117	,	,	PUNCT
cana-5405	162	118	휁	휁	NOUN
cana-5405	162	119	)	)	PUNCT
cana-5405	162	120	ℋ	ℋ	PROPN
cana-5405	162	121	(	(	PUNCT
cana-5405	162	122	u	u	PROPN
cana-5405	162	123	,	,	PUNCT
cana-5405	162	124	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	125	,	,	PUNCT
cana-5405	162	126	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	127	,	,	PUNCT
cana-5405	162	128	k휁	k휁	NOUN
cana-5405	162	129	)	)	PUNCT
cana-5405	162	130	≤	≤	NOUN
cana-5405	162	131	ℋ	ℋ	PROPN
cana-5405	162	132	(	(	PUNCT
cana-5405	162	133	u	u	PROPN
cana-5405	162	134	,	,	PUNCT
cana-5405	162	135	u	u	NOUN
cana-5405	162	136	,	,	PUNCT
cana-5405	162	137	u	u	NOUN
cana-5405	162	138	,	,	PUNCT
cana-5405	162	139	휁	휁	NOUN
cana-5405	162	140	)	)	PUNCT
cana-5405	162	141	◊	◊	PROPN
cana-5405	162	142	ℋ	ℋ	PROPN
cana-5405	162	143	(	(	PUNCT
cana-5405	162	144	u	u	PROPN
cana-5405	162	145	,	,	PUNCT
cana-5405	162	146	u	u	NOUN
cana-5405	162	147	,	,	PUNCT
cana-5405	162	148	u	u	NOUN
cana-5405	162	149	,	,	PUNCT
cana-5405	162	150	휁	휁	NOUN
cana-5405	162	151	)	)	PUNCT
cana-5405	162	152	◊	◊	PROPN
cana-5405	162	153	ℋ	ℋ	PROPN
cana-5405	162	154	(	(	PUNCT
cana-5405	162	155	u	u	PROPN
cana-5405	162	156	,	,	PUNCT
cana-5405	162	157	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	158	,	,	PUNCT
cana-5405	162	159	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	160	,	,	PUNCT
cana-5405	162	161	휁	휁	NOUN
cana-5405	162	162	)	)	PUNCT
cana-5405	162	163	𝒪	𝒪	PROPN
cana-5405	162	164	(	(	PUNCT
cana-5405	162	165	u	u	NOUN
cana-5405	162	166	,	,	PUNCT
cana-5405	162	167	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	168	,	,	PUNCT
cana-5405	162	169	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	170	,	,	PUNCT
cana-5405	162	171	k휁	k휁	NOUN
cana-5405	162	172	)	)	PUNCT
cana-5405	162	173	≤	≤	NOUN
cana-5405	162	174	𝒪	𝒪	PROPN
cana-5405	162	175	(	(	PUNCT
cana-5405	162	176	u	u	NOUN
cana-5405	162	177	,	,	PUNCT
cana-5405	162	178	u	u	NOUN
cana-5405	162	179	,	,	PUNCT
cana-5405	162	180	u	u	NOUN
cana-5405	162	181	,	,	PUNCT
cana-5405	162	182	휁	휁	NOUN
cana-5405	162	183	)	)	PUNCT
cana-5405	162	184	◊	◊	PROPN
cana-5405	162	185	𝒪	𝒪	PROPN
cana-5405	162	186	(	(	PUNCT
cana-5405	162	187	u	u	NOUN
cana-5405	162	188	,	,	PUNCT
cana-5405	162	189	u	u	NOUN
cana-5405	162	190	,	,	PUNCT
cana-5405	162	191	u	u	NOUN
cana-5405	162	192	,	,	PUNCT
cana-5405	162	193	휁	휁	NOUN
cana-5405	162	194	)	)	PUNCT
cana-5405	162	195	◊	◊	PROPN
cana-5405	162	196	𝒪	𝒪	PROPN
cana-5405	162	197	(	(	PUNCT
cana-5405	162	198	u	u	NOUN
cana-5405	162	199	,	,	PUNCT
cana-5405	162	200	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	201	,	,	PUNCT
cana-5405	162	202	ℶ𝜛0	ℶ𝜛0	PROPN
cana-5405	162	203	,	,	PUNCT
cana-5405	162	204	휁	휁	NOUN
cana-5405	162	205	)	)	PUNCT
cana-5405	162	206	which	which	PRON
cana-5405	162	207	is	be	AUX
cana-5405	162	208	a	a	DET
cana-5405	162	209	contradiction	contradiction	NOUN
cana-5405	162	210	.	.	PUNCT
cana-5405	163	1	so	so	ADV
cana-5405	163	2	,	,	PUNCT
cana-5405	163	3	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	163	4	=	=	NOUN
cana-5405	163	5	ℌ𝜔0=	ℌ𝜔0=	PROPN
cana-5405	163	6	u.	u.	PROPN
cana-5405	163	7	now	now	ADV
cana-5405	163	8	by	by	ADP
cana-5405	163	9	(	(	PUNCT
cana-5405	163	10	ℑ	ℑ	PROPN
cana-5405	163	11	,	,	PUNCT
cana-5405	163	12	ξ	ξ	NOUN
cana-5405	163	13	)	)	PUNCT
cana-5405	163	14	,	,	PUNCT
cana-5405	163	15	(	(	PUNCT
cana-5405	163	16	ℶ,η	ℶ,η	NOUN
cana-5405	163	17	)	)	PUNCT
cana-5405	163	18	and	and	CCONJ
cana-5405	163	19	(	(	PUNCT
cana-5405	163	20	ℱ	ℱ	PROPN
cana-5405	163	21	,	,	PUNCT
cana-5405	163	22	ℌ	ℌ	PROPN
cana-5405	163	23	)	)	PUNCT
cana-5405	163	24	are	be	AUX
cana-5405	163	25	weakly	weakly	ADV
cana-5405	163	26	compatible	compatible	ADJ
cana-5405	163	27	ℑℑ	ℑℑ	PROPN
cana-5405	163	28	𝜛0	𝜛0	NOUN
cana-5405	163	29	=	=	SYM
cana-5405	163	30	ℑξ𝜛0	ℑξ𝜛0	X
cana-5405	163	31	=	=	SYM
cana-5405	163	32	ξℑ𝜛0	ξℑ𝜛0	NUM
cana-5405	163	33	=	=	SYM
cana-5405	163	34	ξξ𝜛0	ξξ𝜛0	NOUN
cana-5405	163	35	and	and	CCONJ
cana-5405	163	36	ℶℶ𝜔0	ℶℶ𝜔0	NOUN
cana-5405	163	37	=	=	SYM
cana-5405	163	38	ℶη𝜔0	ℶη𝜔0	NOUN
cana-5405	163	39	=	=	PUNCT
cana-5405	163	40	ηℶ𝜔0	ηℶ𝜔0	ADJ
cana-5405	163	41	=	=	SYM
cana-5405	163	42	ηη𝜔0	ηη𝜔0	NOUN
cana-5405	163	43	and	and	CCONJ
cana-5405	163	44	ℱℱ𝜏0	ℱℱ𝜏0	NUM
cana-5405	163	45	=	=	SYM
cana-5405	163	46	ℱℌ𝜏0	ℱℌ𝜏0	SYM
cana-5405	163	47	=	=	PUNCT
cana-5405	163	48	ℌℱ𝜏0=	ℌℱ𝜏0=	NOUN
cana-5405	163	49	ℌℌ𝜏0	ℌℌ𝜏0	PRON
cana-5405	163	50	suppose	suppose	VERB
cana-5405	163	51	ℑu	ℑu	PROPN
cana-5405	163	52	≠	≠	PROPN
cana-5405	163	53	u.	u.	NOUN
cana-5405	163	54	then	then	ADV
cana-5405	163	55	𝒬	𝒬	PROPN
cana-5405	163	56	(	(	PUNCT
cana-5405	163	57	ℑu	ℑu	PROPN
cana-5405	163	58	,	,	PUNCT
cana-5405	163	59	u	u	NOUN
cana-5405	163	60	,	,	PUNCT
cana-5405	163	61	u	u	NOUN
cana-5405	163	62	,	,	PUNCT
cana-5405	163	63	k휁	k휁	NOUN
cana-5405	163	64	)	)	PUNCT
cana-5405	163	65	=	=	SYM
cana-5405	163	66	𝒬	𝒬	PROPN
cana-5405	163	67	(	(	PUNCT
cana-5405	163	68	ℑu	ℑu	PROPN
cana-5405	163	69	,	,	PUNCT
cana-5405	163	70	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	163	71	,	,	PUNCT
cana-5405	163	72	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	163	73	,	,	PUNCT
cana-5405	163	74	k휁	k휁	NOUN
cana-5405	163	75	)	)	PUNCT
cana-5405	163	76	≥	≥	NOUN
cana-5405	163	77	𝒬	𝒬	PROPN
cana-5405	163	78	(	(	PUNCT
cana-5405	163	79	ξu	ξu	NOUN
cana-5405	163	80	,	,	PUNCT
cana-5405	163	81	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	163	82	,	,	PUNCT
cana-5405	163	83	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	163	84	,	,	PUNCT
cana-5405	163	85	휁	휁	NOUN
cana-5405	163	86	)	)	PUNCT
cana-5405	163	87	∗	∗	NOUN
cana-5405	163	88	𝒬	𝒬	PROPN
cana-5405	163	89	(	(	PUNCT
cana-5405	163	90	ℑu	ℑu	PROPN
cana-5405	163	91	,	,	PUNCT
cana-5405	163	92	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	163	93	,	,	PUNCT
cana-5405	163	94	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	163	95	,	,	PUNCT
cana-5405	163	96	휁	휁	NOUN
cana-5405	163	97	)	)	PUNCT
cana-5405	163	98	∗	∗	NOUN
cana-5405	163	99	𝒬	𝒬	PROPN
cana-5405	163	100	(	(	PUNCT
cana-5405	163	101	ξu	ξu	PROPN
cana-5405	163	102	,	,	PUNCT
cana-5405	163	103	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	163	104	,	,	PUNCT
cana-5405	163	105	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	163	106	,	,	PUNCT
cana-5405	163	107	휁	휁	NOUN
cana-5405	163	108	)	)	PUNCT
cana-5405	163	109	≥	≥	NOUN
cana-5405	164	1	𝒬	𝒬	PROPN
cana-5405	164	2	(	(	PUNCT
cana-5405	164	3	ξu	ξu	PROPN
cana-5405	164	4	,	,	PUNCT
cana-5405	164	5	u	u	NOUN
cana-5405	164	6	,	,	PUNCT
cana-5405	164	7	u	u	NOUN
cana-5405	164	8	,	,	PUNCT
cana-5405	164	9	휁	휁	NOUN
cana-5405	164	10	)	)	PUNCT
cana-5405	164	11	∗	∗	NOUN
cana-5405	164	12	𝒬	𝒬	PROPN
cana-5405	164	13	(	(	PUNCT
cana-5405	164	14	ℑu	ℑu	PROPN
cana-5405	164	15	,	,	PUNCT
cana-5405	164	16	u	u	NOUN
cana-5405	164	17	,	,	PUNCT
cana-5405	164	18	u	u	NOUN
cana-5405	164	19	,	,	PUNCT
cana-5405	164	20	휁	휁	NOUN
cana-5405	164	21	)	)	PUNCT
cana-5405	164	22	∗	∗	NOUN
cana-5405	164	23	𝒬	𝒬	PROPN
cana-5405	164	24	(	(	PUNCT
cana-5405	164	25	ξu	ξu	PROPN
cana-5405	164	26	,	,	PUNCT
cana-5405	164	27	u	u	NOUN
cana-5405	164	28	,	,	PUNCT
cana-5405	164	29	u	u	NOUN
cana-5405	164	30	,	,	PUNCT
cana-5405	164	31	휁	휁	NOUN
cana-5405	164	32	)	)	PUNCT
cana-5405	164	33	≥	≥	NOUN
cana-5405	164	34	lim	lim	NOUN
cana-5405	164	35	𝑛→∞	𝑛→∞	NUM
cana-5405	164	36	𝒬	𝒬	PROPN
cana-5405	164	37	(	(	PUNCT
cana-5405	164	38	ξu	ξu	NOUN
cana-5405	164	39	,	,	PUNCT
cana-5405	164	40	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	41	,	,	PUNCT
cana-5405	164	42	ξ	ξ	PROPN
cana-5405	164	43	𝜛𝑛	𝜛𝑛	NOUN
cana-5405	164	44	,	,	PUNCT
cana-5405	164	45	휁	휁	NOUN
cana-5405	164	46	)	)	PUNCT
cana-5405	164	47	∗	∗	NOUN
cana-5405	164	48	𝒬	𝒬	PROPN
cana-5405	164	49	(	(	PUNCT
cana-5405	164	50	ℑu	ℑu	PROPN
cana-5405	164	51	,	,	PUNCT
cana-5405	164	52	u	u	NOUN
cana-5405	164	53	,	,	PUNCT
cana-5405	164	54	u	u	NOUN
cana-5405	164	55	,	,	PUNCT
cana-5405	164	56	휁	휁	NOUN
cana-5405	164	57	)	)	PUNCT
cana-5405	164	58	∗	∗	NOUN
cana-5405	164	59	𝒬	𝒬	PROPN
cana-5405	164	60	(	(	PUNCT
cana-5405	164	61	ξu	ξu	NOUN
cana-5405	164	62	,	,	PUNCT
cana-5405	164	63	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	64	,	,	PUNCT
cana-5405	164	65	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	66	,	,	PUNCT
cana-5405	164	67	휁	휁	NOUN
cana-5405	164	68	)	)	PUNCT
cana-5405	164	69	≥	≥	NOUN
cana-5405	164	70	lim	lim	NOUN
cana-5405	164	71	𝑛→∞	𝑛→∞	NUM
cana-5405	164	72	𝒬	𝒬	PROPN
cana-5405	164	73	(	(	PUNCT
cana-5405	164	74	ξu	ξu	NOUN
cana-5405	164	75	,	,	PUNCT
cana-5405	164	76	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	77	,	,	PUNCT
cana-5405	164	78	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	79	,	,	PUNCT
cana-5405	164	80	휁	휁	NOUN
cana-5405	164	81	)	)	PUNCT
cana-5405	164	82	ℋ	ℋ	PROPN
cana-5405	164	83	(	(	PUNCT
cana-5405	164	84	ℑu	ℑu	PROPN
cana-5405	164	85	,	,	PUNCT
cana-5405	164	86	u	u	NOUN
cana-5405	164	87	,	,	PUNCT
cana-5405	164	88	u	u	NOUN
cana-5405	164	89	,	,	PUNCT
cana-5405	164	90	k휁	k휁	NOUN
cana-5405	164	91	)	)	PUNCT
cana-5405	164	92	=	=	SYM
cana-5405	164	93	ℋ	ℋ	PROPN
cana-5405	164	94	(	(	PUNCT
cana-5405	164	95	ℑu	ℑu	PROPN
cana-5405	164	96	,	,	PUNCT
cana-5405	164	97	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	98	,	,	PUNCT
cana-5405	164	99	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	100	,	,	PUNCT
cana-5405	164	101	k휁	k휁	NOUN
cana-5405	164	102	)	)	PUNCT
cana-5405	164	103	≤	≤	NOUN
cana-5405	164	104	ℋ	ℋ	PROPN
cana-5405	164	105	(	(	PUNCT
cana-5405	164	106	ξu	ξu	NOUN
cana-5405	164	107	,	,	PUNCT
cana-5405	164	108	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	164	109	,	,	PUNCT
cana-5405	164	110	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	164	111	,	,	PUNCT
cana-5405	164	112	휁	휁	NOUN
cana-5405	164	113	)	)	PUNCT
cana-5405	164	114	◊	◊	PROPN
cana-5405	164	115	ℋ	ℋ	PROPN
cana-5405	164	116	(	(	PUNCT
cana-5405	164	117	ℑu	ℑu	PROPN
cana-5405	164	118	,	,	PUNCT
cana-5405	164	119	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	164	120	,	,	PUNCT
cana-5405	164	121	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	164	122	,	,	PUNCT
cana-5405	164	123	휁	휁	NOUN
cana-5405	164	124	)	)	PUNCT
cana-5405	164	125	◊	◊	PROPN
cana-5405	164	126	ℋ	ℋ	PROPN
cana-5405	164	127	(	(	PUNCT
cana-5405	164	128	ξu	ξu	PROPN
cana-5405	164	129	,	,	PUNCT
cana-5405	164	130	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	131	,	,	PUNCT
cana-5405	164	132	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	133	,	,	PUNCT
cana-5405	164	134	휁	휁	NOUN
cana-5405	164	135	)	)	PUNCT
cana-5405	164	136	≤	≤	NOUN
cana-5405	164	137	ℋ	ℋ	PROPN
cana-5405	164	138	(	(	PUNCT
cana-5405	164	139	ξu	ξu	PROPN
cana-5405	164	140	,	,	PUNCT
cana-5405	164	141	u	u	NOUN
cana-5405	164	142	,	,	PUNCT
cana-5405	164	143	u	u	NOUN
cana-5405	164	144	,	,	PUNCT
cana-5405	164	145	휁	휁	NOUN
cana-5405	164	146	)	)	PUNCT
cana-5405	164	147	◊	◊	PROPN
cana-5405	164	148	ℋ	ℋ	PROPN
cana-5405	164	149	(	(	PUNCT
cana-5405	164	150	ℑu	ℑu	PROPN
cana-5405	164	151	,	,	PUNCT
cana-5405	164	152	u	u	NOUN
cana-5405	164	153	,	,	PUNCT
cana-5405	164	154	u	u	NOUN
cana-5405	164	155	,	,	PUNCT
cana-5405	164	156	휁	휁	NOUN
cana-5405	164	157	)	)	PUNCT
cana-5405	164	158	◊	◊	PROPN
cana-5405	164	159	ℋ	ℋ	PROPN
cana-5405	164	160	(	(	PUNCT
cana-5405	164	161	ξu	ξu	PROPN
cana-5405	164	162	,	,	PUNCT
cana-5405	164	163	u	u	NOUN
cana-5405	164	164	,	,	PUNCT
cana-5405	164	165	u	u	NOUN
cana-5405	164	166	,	,	PUNCT
cana-5405	164	167	휁	휁	NOUN
cana-5405	164	168	)	)	PUNCT
cana-5405	164	169	≤	≤	NOUN
cana-5405	164	170	lim	lim	NOUN
cana-5405	164	171	𝑛→∞	𝑛→∞	NUM
cana-5405	164	172	ℋ	ℋ	PROPN
cana-5405	164	173	(	(	PUNCT
cana-5405	164	174	ξu	ξu	NOUN
cana-5405	164	175	,	,	PUNCT
cana-5405	164	176	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	177	,	,	PUNCT
cana-5405	164	178	ξ	ξ	PROPN
cana-5405	164	179	𝜛𝑛	𝜛𝑛	NOUN
cana-5405	164	180	,	,	PUNCT
cana-5405	164	181	휁	휁	NOUN
cana-5405	164	182	)	)	PUNCT
cana-5405	164	183	◊	◊	PROPN
cana-5405	164	184	ℋ	ℋ	PROPN
cana-5405	164	185	(	(	PUNCT
cana-5405	164	186	ℑu	ℑu	PROPN
cana-5405	164	187	,	,	PUNCT
cana-5405	164	188	u	u	NOUN
cana-5405	164	189	,	,	PUNCT
cana-5405	164	190	u	u	NOUN
cana-5405	164	191	,	,	PUNCT
cana-5405	164	192	휁	휁	NOUN
cana-5405	164	193	)	)	PUNCT
cana-5405	164	194	◊	◊	PROPN
cana-5405	164	195	ℋ(ξu	ℋ(ξu	NOUN
cana-5405	164	196	,	,	PUNCT
cana-5405	164	197	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	198	,	,	PUNCT
cana-5405	164	199	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	200	,	,	PUNCT
cana-5405	164	201	휁	휁	NOUN
cana-5405	164	202	)	)	PUNCT
cana-5405	164	203	≤	≤	NOUN
cana-5405	164	204	lim	lim	NOUN
cana-5405	164	205	𝑛→∞	𝑛→∞	NUM
cana-5405	164	206	ℋ	ℋ	PROPN
cana-5405	164	207	(	(	PUNCT
cana-5405	164	208	ξu	ξu	NOUN
cana-5405	164	209	,	,	PUNCT
cana-5405	164	210	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	211	,	,	PUNCT
cana-5405	164	212	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	164	213	,	,	PUNCT
cana-5405	164	214	휁	휁	NOUN
cana-5405	164	215	)	)	PUNCT
cana-5405	164	216	𝒪(ℑu	𝒪(ℑu	NOUN
cana-5405	164	217	,	,	PUNCT
cana-5405	164	218	u	u	NOUN
cana-5405	164	219	,	,	PUNCT
cana-5405	164	220	u	u	NOUN
cana-5405	164	221	,	,	PUNCT
cana-5405	164	222	k휁	k휁	NOUN
cana-5405	164	223	)	)	PUNCT
cana-5405	164	224	=	=	SYM
cana-5405	164	225	𝒪	𝒪	PROPN
cana-5405	164	226	(	(	PUNCT
cana-5405	164	227	ℑu	ℑu	PROPN
cana-5405	164	228	,	,	PUNCT
cana-5405	164	229	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	230	,	,	PUNCT
cana-5405	164	231	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	164	232	,	,	PUNCT
cana-5405	164	233	k휁	k휁	NOUN
cana-5405	164	234	)	)	PUNCT
cana-5405	164	235	≤	≤	NOUN
cana-5405	165	1	𝒪	𝒪	PROPN
cana-5405	165	2	(	(	PUNCT
cana-5405	165	3	ξu	ξu	NOUN
cana-5405	165	4	,	,	PUNCT
cana-5405	165	5	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	165	6	,	,	PUNCT
cana-5405	165	7	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	165	8	,	,	PUNCT
cana-5405	165	9	휁	휁	NOUN
cana-5405	165	10	)	)	PUNCT
cana-5405	165	11	◊	◊	PROPN
cana-5405	165	12	𝒪	𝒪	PROPN
cana-5405	165	13	(	(	PUNCT
cana-5405	165	14	ℑu	ℑu	PROPN
cana-5405	165	15	,	,	PUNCT
cana-5405	165	16	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	165	17	,	,	PUNCT
cana-5405	165	18	ℌ𝜔0	ℌ𝜔0	NOUN
cana-5405	165	19	,	,	PUNCT
cana-5405	165	20	휁	휁	NOUN
cana-5405	165	21	)	)	PUNCT
cana-5405	165	22	◊	◊	PROPN
cana-5405	165	23	𝒪	𝒪	PROPN
cana-5405	165	24	(	(	PUNCT
cana-5405	165	25	ξu	ξu	NOUN
cana-5405	165	26	,	,	PUNCT
cana-5405	165	27	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	165	28	,	,	PUNCT
cana-5405	165	29	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	165	30	,	,	PUNCT
cana-5405	165	31	휁	휁	NOUN
cana-5405	165	32	)	)	PUNCT
cana-5405	165	33	≤	≤	NOUN
cana-5405	165	34	𝒪	𝒪	PROPN
cana-5405	165	35	(	(	PUNCT
cana-5405	165	36	ξu	ξu	PROPN
cana-5405	165	37	,	,	PUNCT
cana-5405	165	38	u	u	NOUN
cana-5405	165	39	,	,	PUNCT
cana-5405	165	40	u	u	NOUN
cana-5405	165	41	,	,	PUNCT
cana-5405	165	42	휁	휁	NOUN
cana-5405	165	43	)	)	PUNCT
cana-5405	165	44	◊	◊	PROPN
cana-5405	165	45	𝒪	𝒪	PROPN
cana-5405	165	46	(	(	PUNCT
cana-5405	165	47	ℑu	ℑu	PROPN
cana-5405	165	48	,	,	PUNCT
cana-5405	165	49	u	u	NOUN
cana-5405	165	50	,	,	PUNCT
cana-5405	165	51	u	u	NOUN
cana-5405	165	52	,	,	PUNCT
cana-5405	165	53	휁	휁	NOUN
cana-5405	165	54	)	)	PUNCT
cana-5405	165	55	◊	◊	PROPN
cana-5405	165	56	𝒪	𝒪	PROPN
cana-5405	165	57	(	(	PUNCT
cana-5405	165	58	ξu	ξu	PROPN
cana-5405	165	59	,	,	PUNCT
cana-5405	165	60	u	u	NOUN
cana-5405	165	61	,	,	PUNCT
cana-5405	165	62	u	u	NOUN
cana-5405	165	63	,	,	PUNCT
cana-5405	165	64	휁	휁	NOUN
cana-5405	165	65	)	)	PUNCT
cana-5405	165	66	≤	≤	NOUN
cana-5405	165	67	lim	lim	NOUN
cana-5405	165	68	𝑛→∞	𝑛→∞	NUM
cana-5405	165	69	𝒪	𝒪	PROPN
cana-5405	165	70	(	(	PUNCT
cana-5405	165	71	ξu	ξu	NOUN
cana-5405	165	72	,	,	PUNCT
cana-5405	165	73	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	165	74	,	,	PUNCT
cana-5405	165	75	ξ	ξ	PROPN
cana-5405	165	76	𝜛𝑛	𝜛𝑛	NOUN
cana-5405	165	77	,	,	PUNCT
cana-5405	165	78	휁	휁	NOUN
cana-5405	165	79	)	)	PUNCT
cana-5405	165	80	◊	◊	PROPN
cana-5405	165	81	𝒪	𝒪	PROPN
cana-5405	165	82	(	(	PUNCT
cana-5405	165	83	ℑu	ℑu	PROPN
cana-5405	165	84	,	,	PUNCT
cana-5405	165	85	u	u	NOUN
cana-5405	165	86	,	,	PUNCT
cana-5405	165	87	u	u	NOUN
cana-5405	165	88	,	,	PUNCT
cana-5405	165	89	휁	휁	NOUN
cana-5405	165	90	)	)	PUNCT
cana-5405	165	91	◊	◊	PROPN
cana-5405	165	92	𝒪(ξu	𝒪(ξu	PROPN
cana-5405	165	93	,	,	PUNCT
cana-5405	165	94	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	165	95	,	,	PUNCT
cana-5405	165	96	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	165	97	,	,	PUNCT
cana-5405	165	98	휁	휁	NOUN
cana-5405	165	99	)	)	PUNCT
cana-5405	165	100	≤	≤	NOUN
cana-5405	165	101	lim	lim	NOUN
cana-5405	165	102	𝑛→∞	𝑛→∞	NUM
cana-5405	165	103	𝒪	𝒪	PROPN
cana-5405	165	104	(	(	PUNCT
cana-5405	165	105	ξu	ξu	NOUN
cana-5405	165	106	,	,	PUNCT
cana-5405	165	107	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	165	108	,	,	PUNCT
cana-5405	165	109	ξ𝜛𝑛	ξ𝜛𝑛	NOUN
cana-5405	165	110	,	,	PUNCT
cana-5405	165	111	휁	휁	NOUN
cana-5405	165	112	)	)	PUNCT
cana-5405	165	113	by	by	ADP
cana-5405	165	114	ℑu	ℑu	PROPN
cana-5405	165	115	=	=	SYM
cana-5405	165	116	ℑℑ𝜛0	ℑℑ𝜛0	X
cana-5405	165	117	=	=	SYM
cana-5405	165	118	ℑξ𝜛0	ℑξ𝜛0	X
cana-5405	165	119	=	=	SYM
cana-5405	165	120	ξℑ𝜛0=	ξℑ𝜛0=	NOUN
cana-5405	165	121	ξξ	ξξ	NOUN
cana-5405	165	122	𝜛0	𝜛0	NOUN
cana-5405	165	123	=	=	SYM
cana-5405	165	124	ξ	ξ	PRON
cana-5405	165	125	u	u	NOUN
cana-5405	165	126	and	and	CCONJ
cana-5405	165	127	휁	휁	NOUN
cana-5405	165	128	∗	∗	NOUN
cana-5405	165	129	휁	휁	NOUN
cana-5405	165	130	≥	≥	NOUN
cana-5405	165	131	휁	휁	NOUN
cana-5405	165	132	and	and	CCONJ
cana-5405	165	133	휁	휁	PROPN
cana-5405	165	134	◊	◊	PROPN
cana-5405	165	135	휁	휁	NOUN
cana-5405	165	136	≤	≤	NUM
cana-5405	165	137	1	1	NUM
cana-5405	165	138	–	–	PUNCT
cana-5405	165	139	휁	휁	NOUN
cana-5405	165	140	it	it	PRON
cana-5405	165	141	is	be	AUX
cana-5405	165	142	easy	easy	ADJ
cana-5405	165	143	to	to	PART
cana-5405	165	144	see	see	VERB
cana-5405	165	145	that	that	SCONJ
cana-5405	166	1	[	[	X
cana-5405	166	2	3.1.6	3.1.6	NOUN
cana-5405	166	3	]	]	PUNCT
cana-5405	166	4	,	,	PUNCT
cana-5405	167	1	[	[	X
cana-5405	167	2	3.1.7	3.1.7	X
cana-5405	167	3	]	]	X
cana-5405	168	1	[	[	X
cana-5405	168	2	3.1.8	3.1.8	NUM
cana-5405	168	3	]	]	X
cana-5405	168	4	yields	yield	VERB
cana-5405	168	5	a	a	DET
cana-5405	168	6	contradiction	contradiction	NOUN
cana-5405	168	7	and	and	CCONJ
cana-5405	168	8	so	so	ADV
cana-5405	168	9	ℑu	ℑu	PROPN
cana-5405	168	10	=	=	PUNCT
cana-5405	168	11	u	u	NOUN
cana-5405	168	12	=	=	SYM
cana-5405	168	13	ξ	ξ	AUX
cana-5405	168	14	u.	u.	NOUN
cana-5405	168	15	now	now	ADV
cana-5405	168	16	following	follow	VERB
cana-5405	168	17	the	the	DET
cana-5405	168	18	similar	similar	ADJ
cana-5405	168	19	argument	argument	NOUN
cana-5405	168	20	,	,	PUNCT
cana-5405	168	21	we	we	PRON
cana-5405	168	22	can	can	AUX
cana-5405	168	23	get	get	VERB
cana-5405	168	24	ℶu	ℶu	INTJ
cana-5405	168	25	=	=	SYM
cana-5405	168	26	u	u	NOUN
cana-5405	168	27	=	=	PROPN
cana-5405	168	28	ηu	ηu	X
cana-5405	168	29	.	.	PUNCT
cana-5405	169	1	communications	communication	NOUN
cana-5405	169	2	on	on	ADP
cana-5405	169	3	applied	apply	VERB
cana-5405	169	4	nonlinear	nonlinear	ADJ
cana-5405	169	5	analysis	analysis	NOUN
cana-5405	169	6	issn	issn	NOUN
cana-5405	169	7	:	:	PUNCT
cana-5405	169	8	1074	1074	NUM
cana-5405	169	9	-	-	PUNCT
cana-5405	169	10	133x	133x	NUM
cana-5405	169	11	vol	vol	VERB
cana-5405	169	12	32	32	NUM
cana-5405	169	13	no	no	NOUN
cana-5405	169	14	.	.	PUNCT
cana-5405	170	1	10s	10	NOUN
cana-5405	170	2	(	(	PUNCT
cana-5405	170	3	2025	2025	NUM
cana-5405	170	4	)	)	PUNCT
cana-5405	170	5	2156	2156	NUM
cana-5405	170	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	171	1	so	so	ADV
cana-5405	171	2	ℑ	ℑ	PROPN
cana-5405	171	3	,	,	PUNCT
cana-5405	171	4	ℶ	ℶ	PROPN
cana-5405	171	5	,	,	PUNCT
cana-5405	171	6	ℱ	ℱ	PROPN
cana-5405	171	7	,	,	PUNCT
cana-5405	171	8	ℌ	ℌ	PROPN
cana-5405	171	9	,	,	PUNCT
cana-5405	171	10	η	η	PROPN
cana-5405	171	11	and	and	CCONJ
cana-5405	171	12	ξ	ξ	PROPN
cana-5405	171	13	have	have	VERB
cana-5405	171	14	a	a	DET
cana-5405	171	15	common	common	ADJ
cana-5405	171	16	fixed	fix	VERB
cana-5405	171	17	point	point	NOUN
cana-5405	171	18	u.	u.	NOUN
cana-5405	171	19	uniquness	uniquness	NOUN
cana-5405	171	20	:	:	PUNCT
cana-5405	171	21	let	let	VERB
cana-5405	171	22	v	v	ADP
cana-5405	171	23	≠	≠	PROPN
cana-5405	171	24	u	u	NOUN
cana-5405	171	25	be	be	AUX
cana-5405	171	26	another	another	DET
cana-5405	171	27	common	common	ADJ
cana-5405	171	28	fixed	fix	VERB
cana-5405	171	29	point	point	NOUN
cana-5405	171	30	of	of	ADP
cana-5405	171	31	ℑ	ℑ	PROPN
cana-5405	171	32	,	,	PUNCT
cana-5405	171	33	ℶ	ℶ	PROPN
cana-5405	171	34	,	,	PUNCT
cana-5405	171	35	ℱ	ℱ	PROPN
cana-5405	171	36	,	,	PUNCT
cana-5405	171	37	ℌ	ℌ	PROPN
cana-5405	171	38	,	,	PUNCT
cana-5405	171	39	η	η	PROPN
cana-5405	171	40	and	and	CCONJ
cana-5405	171	41	ξ	ξ	PROPN
cana-5405	171	42	.	.	PUNCT
cana-5405	172	1	then	then	ADV
cana-5405	172	2	,	,	PUNCT
cana-5405	172	3	𝒬	𝒬	PROPN
cana-5405	172	4	(	(	PUNCT
cana-5405	172	5	v	v	NOUN
cana-5405	172	6	,	,	PUNCT
cana-5405	172	7	u	u	NOUN
cana-5405	172	8	,	,	PUNCT
cana-5405	172	9	u	u	NOUN
cana-5405	172	10	,	,	PUNCT
cana-5405	172	11	k휁	k휁	X
cana-5405	172	12	)	)	PUNCT
cana-5405	172	13	=	=	SYM
cana-5405	172	14	𝒬	𝒬	PROPN
cana-5405	172	15	(	(	PUNCT
cana-5405	172	16	ℑv	ℑv	PROPN
cana-5405	172	17	,	,	PUNCT
cana-5405	172	18	ℶu	ℶu	INTJ
cana-5405	172	19	,	,	PUNCT
cana-5405	172	20	ℶu	ℶu	INTJ
cana-5405	172	21	,	,	PUNCT
cana-5405	172	22	k휁	k휁	PROPN
cana-5405	172	23	)	)	PUNCT
cana-5405	172	24	≥	≥	NOUN
cana-5405	172	25	𝒬	𝒬	PROPN
cana-5405	172	26	(	(	PUNCT
cana-5405	172	27	ξv	ξv	PROPN
cana-5405	172	28	,	,	PUNCT
cana-5405	172	29	ηu	ηu	NOUN
cana-5405	172	30	,	,	PUNCT
cana-5405	172	31	ηu	ηu	NOUN
cana-5405	172	32	,	,	PUNCT
cana-5405	172	33	휁	휁	NOUN
cana-5405	172	34	)	)	PUNCT
cana-5405	172	35	∗	∗	NOUN
cana-5405	172	36	𝒬	𝒬	PROPN
cana-5405	172	37	(	(	PUNCT
cana-5405	172	38	ℑv	ℑv	PROPN
cana-5405	172	39	,	,	PUNCT
cana-5405	172	40	ηu	ηu	NOUN
cana-5405	172	41	,	,	PUNCT
cana-5405	172	42	ηu	ηu	NOUN
cana-5405	172	43	,	,	PUNCT
cana-5405	172	44	휁	휁	NOUN
cana-5405	172	45	)	)	PUNCT
cana-5405	172	46	∗	∗	NOUN
cana-5405	172	47	𝒬	𝒬	PROPN
cana-5405	172	48	(	(	PUNCT
cana-5405	172	49	ξv	ξv	PROPN
cana-5405	172	50	,	,	PUNCT
cana-5405	172	51	ℶu	ℶu	INTJ
cana-5405	172	52	,	,	PUNCT
cana-5405	172	53	ℶu	ℶu	INTJ
cana-5405	172	54	,	,	PUNCT
cana-5405	172	55	휁	휁	NOUN
cana-5405	172	56	)	)	PUNCT
cana-5405	172	57	=	=	SYM
cana-5405	172	58	𝒬	𝒬	PROPN
cana-5405	172	59	(	(	PUNCT
cana-5405	172	60	v	v	NOUN
cana-5405	172	61	,	,	PUNCT
cana-5405	172	62	u	u	NOUN
cana-5405	172	63	,	,	PUNCT
cana-5405	172	64	u	u	NOUN
cana-5405	172	65	,	,	PUNCT
cana-5405	172	66	휁	휁	NOUN
cana-5405	172	67	)	)	PUNCT
cana-5405	172	68	∗	∗	NOUN
cana-5405	172	69	𝒬	𝒬	PROPN
cana-5405	172	70	(	(	PUNCT
cana-5405	172	71	v	v	NOUN
cana-5405	172	72	,	,	PUNCT
cana-5405	172	73	u	u	NOUN
cana-5405	172	74	,	,	PUNCT
cana-5405	172	75	u	u	NOUN
cana-5405	172	76	,	,	PUNCT
cana-5405	172	77	휁	휁	NOUN
cana-5405	172	78	)	)	PUNCT
cana-5405	172	79	∗	∗	NOUN
cana-5405	172	80	𝒬	𝒬	PROPN
cana-5405	172	81	(	(	PUNCT
cana-5405	172	82	v	v	NOUN
cana-5405	172	83	,	,	PUNCT
cana-5405	172	84	u	u	NOUN
cana-5405	172	85	,	,	PUNCT
cana-5405	172	86	u	u	NOUN
cana-5405	172	87	,	,	PUNCT
cana-5405	172	88	휁	휁	NOUN
cana-5405	172	89	)	)	PUNCT
cana-5405	172	90	ℋ	ℋ	PROPN
cana-5405	172	91	(	(	PUNCT
cana-5405	172	92	v	v	NOUN
cana-5405	172	93	,	,	PUNCT
cana-5405	172	94	u	u	NOUN
cana-5405	172	95	,	,	PUNCT
cana-5405	172	96	u	u	NOUN
cana-5405	172	97	,	,	PUNCT
cana-5405	172	98	k휁	k휁	X
cana-5405	172	99	)	)	PUNCT
cana-5405	172	100	=	=	SYM
cana-5405	172	101	ℋ(ℑv	ℋ(ℑv	NOUN
cana-5405	172	102	,	,	PUNCT
cana-5405	172	103	ℶu	ℶu	INTJ
cana-5405	172	104	,	,	PUNCT
cana-5405	172	105	ℶu	ℶu	INTJ
cana-5405	172	106	,	,	PUNCT
cana-5405	172	107	k휁	k휁	X
cana-5405	172	108	)	)	PUNCT
cana-5405	172	109	≤	≤	PROPN
cana-5405	172	110	ℋ(ξv	ℋ(ξv	PROPN
cana-5405	172	111	,	,	PUNCT
cana-5405	172	112	ηu	ηu	ADP
cana-5405	172	113	,	,	PUNCT
cana-5405	172	114	ηu	ηu	NOUN
cana-5405	172	115	,	,	PUNCT
cana-5405	172	116	휁	휁	NOUN
cana-5405	172	117	)	)	PUNCT
cana-5405	172	118	◊	◊	PROPN
cana-5405	172	119	ℋ	ℋ	PROPN
cana-5405	172	120	(	(	PUNCT
cana-5405	172	121	ℑv	ℑv	PROPN
cana-5405	172	122	,	,	PUNCT
cana-5405	172	123	ηu	ηu	NOUN
cana-5405	172	124	,	,	PUNCT
cana-5405	172	125	ηu	ηu	NOUN
cana-5405	172	126	,	,	PUNCT
cana-5405	172	127	휁	휁	NOUN
cana-5405	172	128	)	)	PUNCT
cana-5405	172	129	◊	◊	PROPN
cana-5405	172	130	ℋ	ℋ	PROPN
cana-5405	172	131	(	(	PUNCT
cana-5405	172	132	ξv	ξv	PROPN
cana-5405	172	133	,	,	PUNCT
cana-5405	172	134	ℶu	ℶu	INTJ
cana-5405	172	135	,	,	PUNCT
cana-5405	172	136	ℶu	ℶu	INTJ
cana-5405	172	137	,	,	PUNCT
cana-5405	172	138	휁	휁	NOUN
cana-5405	172	139	)	)	PUNCT
cana-5405	172	140	=	=	SYM
cana-5405	172	141	ℋ(v	ℋ(v	NUM
cana-5405	172	142	,	,	PUNCT
cana-5405	172	143	u	u	NOUN
cana-5405	172	144	,	,	PUNCT
cana-5405	172	145	u	u	NOUN
cana-5405	172	146	,	,	PUNCT
cana-5405	172	147	휁	휁	NOUN
cana-5405	172	148	)	)	PUNCT
cana-5405	172	149	◊	◊	PROPN
cana-5405	172	150	ℋ	ℋ	PROPN
cana-5405	172	151	(	(	PUNCT
cana-5405	172	152	v	v	NOUN
cana-5405	172	153	,	,	PUNCT
cana-5405	172	154	u	u	NOUN
cana-5405	172	155	,	,	PUNCT
cana-5405	172	156	u	u	NOUN
cana-5405	172	157	,	,	PUNCT
cana-5405	172	158	휁	휁	NOUN
cana-5405	172	159	)	)	PUNCT
cana-5405	172	160	◊	◊	PROPN
cana-5405	172	161	ℋ	ℋ	PROPN
cana-5405	172	162	(	(	PUNCT
cana-5405	172	163	v	v	NOUN
cana-5405	172	164	,	,	PUNCT
cana-5405	172	165	u	u	NOUN
cana-5405	172	166	,	,	PUNCT
cana-5405	172	167	u	u	NOUN
cana-5405	172	168	,	,	PUNCT
cana-5405	172	169	휁	휁	NOUN
cana-5405	172	170	)	)	PUNCT
cana-5405	172	171	𝒪	𝒪	PROPN
cana-5405	172	172	(	(	PUNCT
cana-5405	172	173	v	v	NOUN
cana-5405	172	174	,	,	PUNCT
cana-5405	172	175	u	u	NOUN
cana-5405	172	176	,	,	PUNCT
cana-5405	172	177	u	u	NOUN
cana-5405	172	178	,	,	PUNCT
cana-5405	172	179	k휁	k휁	X
cana-5405	172	180	)	)	PUNCT
cana-5405	172	181	=	=	SYM
cana-5405	172	182	𝒪(ℑv	𝒪(ℑv	NOUN
cana-5405	172	183	,	,	PUNCT
cana-5405	172	184	ℶu	ℶu	INTJ
cana-5405	172	185	,	,	PUNCT
cana-5405	172	186	ℶu	ℶu	INTJ
cana-5405	172	187	,	,	PUNCT
cana-5405	172	188	k휁	k휁	X
cana-5405	172	189	)	)	PUNCT
cana-5405	172	190	≤	≤	PROPN
cana-5405	172	191	𝒪(ξv	𝒪(ξv	PROPN
cana-5405	172	192	,	,	PUNCT
cana-5405	172	193	ηu	ηu	NOUN
cana-5405	172	194	,	,	PUNCT
cana-5405	172	195	ηu	ηu	NOUN
cana-5405	172	196	,	,	PUNCT
cana-5405	172	197	휁	휁	NOUN
cana-5405	172	198	)	)	PUNCT
cana-5405	172	199	◊	◊	PROPN
cana-5405	172	200	𝒪	𝒪	PROPN
cana-5405	172	201	(	(	PUNCT
cana-5405	172	202	ℑv	ℑv	PROPN
cana-5405	172	203	,	,	PUNCT
cana-5405	172	204	ηu	ηu	NOUN
cana-5405	172	205	,	,	PUNCT
cana-5405	172	206	ηu	ηu	NOUN
cana-5405	172	207	,	,	PUNCT
cana-5405	172	208	휁	휁	NOUN
cana-5405	172	209	)	)	PUNCT
cana-5405	172	210	◊	◊	PROPN
cana-5405	172	211	𝒪	𝒪	PROPN
cana-5405	172	212	(	(	PUNCT
cana-5405	172	213	ξv	ξv	PROPN
cana-5405	172	214	,	,	PUNCT
cana-5405	172	215	ℶu	ℶu	INTJ
cana-5405	172	216	,	,	PUNCT
cana-5405	172	217	ℶu	ℶu	INTJ
cana-5405	172	218	,	,	PUNCT
cana-5405	172	219	휁	휁	NOUN
cana-5405	172	220	)	)	PUNCT
cana-5405	172	221	=	=	SYM
cana-5405	173	1	𝒪(v	𝒪(v	PROPN
cana-5405	173	2	,	,	PUNCT
cana-5405	173	3	u	u	NOUN
cana-5405	173	4	,	,	PUNCT
cana-5405	173	5	u	u	NOUN
cana-5405	173	6	,	,	PUNCT
cana-5405	173	7	휁	휁	NOUN
cana-5405	173	8	)	)	PUNCT
cana-5405	173	9	◊	◊	PROPN
cana-5405	173	10	𝒪	𝒪	PROPN
cana-5405	173	11	(	(	PUNCT
cana-5405	173	12	v	v	NOUN
cana-5405	173	13	,	,	PUNCT
cana-5405	173	14	u	u	NOUN
cana-5405	173	15	,	,	PUNCT
cana-5405	173	16	u	u	NOUN
cana-5405	173	17	,	,	PUNCT
cana-5405	173	18	휁	휁	NOUN
cana-5405	173	19	)	)	PUNCT
cana-5405	173	20	◊	◊	PROPN
cana-5405	173	21	𝒪	𝒪	PROPN
cana-5405	173	22	(	(	PUNCT
cana-5405	173	23	v	v	NOUN
cana-5405	173	24	,	,	PUNCT
cana-5405	173	25	u	u	NOUN
cana-5405	173	26	,	,	PUNCT
cana-5405	173	27	u	u	NOUN
cana-5405	173	28	,	,	PUNCT
cana-5405	173	29	휁	휁	NOUN
cana-5405	173	30	)	)	PUNCT
cana-5405	173	31	by	by	ADP
cana-5405	173	32	휁	휁	PROPN
cana-5405	173	33	∗	∗	NOUN
cana-5405	173	34	휁	휁	NOUN
cana-5405	173	35	≥	≥	NOUN
cana-5405	173	36	휁	휁	NOUN
cana-5405	173	37	and	and	CCONJ
cana-5405	173	38	휁	휁	PROPN
cana-5405	173	39	◊	◊	PROPN
cana-5405	173	40	휁	휁	NOUN
cana-5405	173	41	≤	≤	NUM
cana-5405	173	42	1	1	NUM
cana-5405	173	43	–	–	PUNCT
cana-5405	173	44	휁	휁	NOUN
cana-5405	173	45	,	,	PUNCT
cana-5405	173	46	we	we	PRON
cana-5405	173	47	can	can	AUX
cana-5405	173	48	get	get	VERB
cana-5405	173	49	𝒬	𝒬	PROPN
cana-5405	173	50	(	(	PUNCT
cana-5405	173	51	v	v	NOUN
cana-5405	173	52	,	,	PUNCT
cana-5405	173	53	u	u	NOUN
cana-5405	173	54	,	,	PUNCT
cana-5405	173	55	u	u	NOUN
cana-5405	173	56	,	,	PUNCT
cana-5405	173	57	k	k	PROPN
cana-5405	173	58	휁	휁	NOUN
cana-5405	173	59	)	)	PUNCT
cana-5405	173	60	≥	≥	NOUN
cana-5405	173	61	𝒬	𝒬	PROPN
cana-5405	173	62	(	(	PUNCT
cana-5405	173	63	v	v	NOUN
cana-5405	173	64	,	,	PUNCT
cana-5405	173	65	u	u	NOUN
cana-5405	173	66	,	,	PUNCT
cana-5405	173	67	u	u	NOUN
cana-5405	173	68	,	,	PUNCT
cana-5405	173	69	휁	휁	NOUN
cana-5405	173	70	)	)	PUNCT
cana-5405	173	71	ℋ	ℋ	PROPN
cana-5405	173	72	(	(	PUNCT
cana-5405	173	73	v	v	NOUN
cana-5405	173	74	,	,	PUNCT
cana-5405	173	75	u	u	NOUN
cana-5405	173	76	,	,	PUNCT
cana-5405	173	77	u	u	NOUN
cana-5405	173	78	,	,	PUNCT
cana-5405	173	79	k	k	PROPN
cana-5405	173	80	휁	휁	NOUN
cana-5405	173	81	)	)	PUNCT
cana-5405	173	82	≤	≤	NOUN
cana-5405	174	1	ℋ	ℋ	PROPN
cana-5405	174	2	(	(	PUNCT
cana-5405	174	3	v	v	NOUN
cana-5405	174	4	,	,	PUNCT
cana-5405	174	5	u	u	NOUN
cana-5405	174	6	,	,	PUNCT
cana-5405	174	7	u	u	NOUN
cana-5405	174	8	,	,	PUNCT
cana-5405	174	9	휁	휁	NOUN
cana-5405	174	10	)	)	PUNCT
cana-5405	174	11	and	and	CCONJ
cana-5405	174	12	𝒪	𝒪	PROPN
cana-5405	174	13	(	(	PUNCT
cana-5405	174	14	v	v	NOUN
cana-5405	174	15	,	,	PUNCT
cana-5405	174	16	u	u	NOUN
cana-5405	174	17	,	,	PUNCT
cana-5405	174	18	u	u	NOUN
cana-5405	174	19	,	,	PUNCT
cana-5405	174	20	k	k	PROPN
cana-5405	174	21	휁	휁	NOUN
cana-5405	174	22	)	)	PUNCT
cana-5405	174	23	≤	≤	NOUN
cana-5405	174	24	𝒪	𝒪	PROPN
cana-5405	174	25	(	(	PUNCT
cana-5405	174	26	v	v	NOUN
cana-5405	174	27	,	,	PUNCT
cana-5405	174	28	u	u	NOUN
cana-5405	174	29	,	,	PUNCT
cana-5405	174	30	u	u	NOUN
cana-5405	174	31	,	,	PUNCT
cana-5405	174	32	휁	휁	NOUN
cana-5405	174	33	)	)	PUNCT
cana-5405	174	34	is	be	AUX
cana-5405	174	35	a	a	DET
cana-5405	174	36	contradiction	contradiction	NOUN
cana-5405	174	37	thus	thus	ADV
cana-5405	174	38	v	v	NOUN
cana-5405	174	39	=	=	PUNCT
cana-5405	174	40	u.	u.	NOUN
cana-5405	174	41	hence	hence	ADV
cana-5405	174	42	ℑ	ℑ	PROPN
cana-5405	174	43	,	,	PUNCT
cana-5405	174	44	ℶ	ℶ	PROPN
cana-5405	174	45	,	,	PUNCT
cana-5405	174	46	ℱ	ℱ	PROPN
cana-5405	174	47	,	,	PUNCT
cana-5405	174	48	ℌ	ℌ	PROPN
cana-5405	174	49	,	,	PUNCT
cana-5405	174	50	η	η	PROPN
cana-5405	174	51	and	and	CCONJ
cana-5405	174	52	ξ	ξ	PROPN
cana-5405	174	53	have	have	VERB
cana-5405	174	54	a	a	DET
cana-5405	174	55	unique	unique	ADJ
cana-5405	174	56	common	common	ADJ
cana-5405	174	57	fixed	fix	VERB
cana-5405	174	58	point	point	NOUN
cana-5405	174	59	in	in	ADP
cana-5405	174	60	x.	x.	PROPN
cana-5405	174	61	theorem	theorem	PROPN
cana-5405	174	62	:	:	PUNCT
cana-5405	174	63	3	3	NUM
cana-5405	174	64	.	.	NOUN
cana-5405	174	65	2	2	NUM
cana-5405	175	1	[	[	SYM
cana-5405	175	2	20	20	NUM
cana-5405	175	3	]	]	PUNCT
cana-5405	175	4	let	let	VERB
cana-5405	175	5	ℑ	ℑ	PROPN
cana-5405	175	6	,	,	PUNCT
cana-5405	175	7	ℶ	ℶ	PROPN
cana-5405	175	8	,	,	PUNCT
cana-5405	175	9	ℱ	ℱ	PROPN
cana-5405	175	10	,	,	PUNCT
cana-5405	175	11	ℌ	ℌ	PROPN
cana-5405	175	12	,	,	PUNCT
cana-5405	175	13	η	η	PROPN
cana-5405	175	14	and	and	CCONJ
cana-5405	175	15	ξ	ξ	PROPN
cana-5405	175	16	be	be	VERB
cana-5405	175	17	self	self	NOUN
cana-5405	175	18	mappings	mapping	NOUN
cana-5405	175	19	of	of	ADP
cana-5405	175	20	a	a	DET
cana-5405	175	21	complete	complete	ADJ
cana-5405	175	22	neutrosophic	neutrosophic	ADJ
cana-5405	175	23	metric	metric	ADJ
cana-5405	175	24	space	space	NOUN
cana-5405	175	25	(	(	PUNCT
cana-5405	175	26	ξ	ξ	PROPN
cana-5405	175	27	,	,	PUNCT
cana-5405	175	28	𝒬	𝒬	PROPN
cana-5405	175	29	,	,	PUNCT
cana-5405	175	30	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	175	31	*	*	PUNCT
cana-5405	175	32	,	,	PUNCT
cana-5405	175	33			PROPN
cana-5405	175	34	)	)	PUNCT
cana-5405	175	35	with	with	ADP
cana-5405	175	36	휁	휁	PROPN
cana-5405	175	37	∗	∗	NOUN
cana-5405	175	38	휁	휁	X
cana-5405	175	39	>	>	X
cana-5405	175	40	t	t	PROPN
cana-5405	175	41	and	and	CCONJ
cana-5405	175	42	휁	휁	X
cana-5405	175	43	◊	◊	PROPN
cana-5405	175	44	휁	휁	X
cana-5405	175	45	<	<	X
cana-5405	175	46	1	1	NUM
cana-5405	175	47	휁	휁	NOUN
cana-5405	175	48	if	if	SCONJ
cana-5405	175	49	the	the	DET
cana-5405	175	50	mappings	mapping	NOUN
cana-5405	175	51	satisfy	satisfy	VERB
cana-5405	175	52	the	the	DET
cana-5405	175	53	following	follow	VERB
cana-5405	175	54	conditions	condition	NOUN
cana-5405	175	55	:	:	PUNCT
cana-5405	176	1	[	[	X
cana-5405	176	2	3.2.1	3.2.1	NUM
cana-5405	176	3	]	]	X
cana-5405	176	4	ℑ	ℑ	PROPN
cana-5405	176	5	(	(	PUNCT
cana-5405	176	6	ξ	ξ	NOUN
cana-5405	176	7	)	)	PUNCT
cana-5405	176	8	⊆	⊆	NUM
cana-5405	176	9	ξ	ξ	PROPN
cana-5405	176	10	(	(	PUNCT
cana-5405	176	11	ξ	ξ	NOUN
cana-5405	176	12	)	)	PUNCT
cana-5405	176	13	,	,	PUNCT
cana-5405	176	14	ℶ	ℶ	PROPN
cana-5405	176	15	(	(	PUNCT
cana-5405	176	16	ξ	ξ	NOUN
cana-5405	176	17	)	)	PUNCT
cana-5405	176	18	⊆	⊆	NUM
cana-5405	176	19	η	η	X
cana-5405	176	20	(	(	PUNCT
cana-5405	176	21	ξ	ξ	PROPN
cana-5405	176	22	)	)	PUNCT
cana-5405	176	23	,	,	PUNCT
cana-5405	176	24	ℱ(ξ	ℱ(ξ	NUM
cana-5405	176	25	)	)	PUNCT
cana-5405	176	26	⊆	⊆	NUM
cana-5405	176	27	ℌ	ℌ	PROPN
cana-5405	176	28	(	(	PUNCT
cana-5405	176	29	ξ	ξ	NOUN
cana-5405	176	30	)	)	PUNCT
cana-5405	177	1	[	[	X
cana-5405	177	2	3.2.2	3.2.2	NUM
cana-5405	177	3	]	]	PUNCT
cana-5405	177	4	suppose	suppose	VERB
cana-5405	177	5	(	(	PUNCT
cana-5405	177	6	ℑ	ℑ	PROPN
cana-5405	177	7	,	,	PUNCT
cana-5405	177	8	ℌ	ℌ	PROPN
cana-5405	177	9	)	)	PUNCT
cana-5405	177	10	satisfy	satisfy	VERB
cana-5405	177	11	the	the	DET
cana-5405	177	12	property	property	NOUN
cana-5405	177	13	(	(	PUNCT
cana-5405	177	14	e.a	e.a	PROPN
cana-5405	177	15	)	)	PUNCT
cana-5405	178	1	[	[	X
cana-5405	178	2	3.3.3	3.3.3	NUM
cana-5405	178	3	]	]	X
cana-5405	178	4	(	(	PUNCT
cana-5405	178	5	ℑ	ℑ	PROPN
cana-5405	178	6	,	,	PUNCT
cana-5405	178	7	ξ	ξ	NOUN
cana-5405	178	8	)	)	PUNCT
cana-5405	178	9	,	,	PUNCT
cana-5405	178	10	(	(	PUNCT
cana-5405	178	11	ℶ,η	ℶ,η	NOUN
cana-5405	178	12	)	)	PUNCT
cana-5405	178	13	and	and	CCONJ
cana-5405	178	14	(	(	PUNCT
cana-5405	178	15	ℱ	ℱ	PROPN
cana-5405	178	16	,	,	PUNCT
cana-5405	178	17	ℌ	ℌ	PROPN
cana-5405	178	18	)	)	PUNCT
cana-5405	178	19	are	be	AUX
cana-5405	178	20	weakly	weakly	ADV
cana-5405	178	21	compatible	compatible	ADJ
cana-5405	178	22	[	[	X
cana-5405	178	23	3.3.4	3.3.4	NUM
cana-5405	178	24	]	]	X
cana-5405	178	25	𝒬	𝒬	PROPN
cana-5405	178	26	(	(	PUNCT
cana-5405	178	27	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	178	28	,	,	PUNCT
cana-5405	178	29	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	178	30	,	,	PUNCT
cana-5405	178	31	ℶ𝜏	ℶ𝜏	PROPN
cana-5405	178	32	,	,	PUNCT
cana-5405	178	33	휁	휁	NOUN
cana-5405	178	34	)	)	PUNCT
cana-5405	178	35	≥	≥	NOUN
cana-5405	178	36	φ	φ	NOUN
cana-5405	179	1	[	[	X
cana-5405	179	2	min	min	X
cana-5405	179	3	(	(	PUNCT
cana-5405	179	4	𝒬(ℌ𝜛	𝒬(ℌ𝜛	PROPN
cana-5405	179	5	,	,	PUNCT
cana-5405	179	6	η𝜔	η𝜔	PROPN
cana-5405	179	7	,	,	PUNCT
cana-5405	179	8	η𝜏	η𝜏	ADP
cana-5405	179	9	,	,	PUNCT
cana-5405	179	10	휁	휁	NOUN
cana-5405	179	11	)	)	PUNCT
cana-5405	179	12	,	,	PUNCT
cana-5405	179	13	𝒬(ℑ𝜛	𝒬(ℑ𝜛	NOUN
cana-5405	179	14	,	,	PUNCT
cana-5405	179	15	η𝜔	η𝜔	PROPN
cana-5405	179	16	,	,	PUNCT
cana-5405	179	17	η𝜏	η𝜏	ADP
cana-5405	179	18	,	,	PUNCT
cana-5405	179	19	휁	휁	NOUN
cana-5405	179	20	)	)	PUNCT
cana-5405	179	21	,	,	PUNCT
cana-5405	179	22	𝒬(ℌ𝜛	𝒬(ℌ𝜛	PROPN
cana-5405	179	23	,	,	PUNCT
cana-5405	179	24	η𝜔	η𝜔	PROPN
cana-5405	179	25	,	,	PUNCT
cana-5405	179	26	η𝜏	η𝜏	ADP
cana-5405	179	27	,	,	PUNCT
cana-5405	179	28	휁	휁	NOUN
cana-5405	179	29	)	)	PUNCT
cana-5405	179	30	,	,	PUNCT
cana-5405	179	31	𝒬(ℑ𝜛	𝒬(ℑ𝜛	NOUN
cana-5405	179	32	,	,	PUNCT
cana-5405	179	33	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	179	34	,	,	PUNCT
cana-5405	179	35	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	179	36	,	,	PUNCT
cana-5405	179	37	휁	휁	NOUN
cana-5405	179	38	)	)	PUNCT
cana-5405	179	39	)	)	PUNCT
cana-5405	179	40	]	]	PUNCT
cana-5405	180	1	ℋ	ℋ	PROPN
cana-5405	180	2	(	(	PUNCT
cana-5405	180	3	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	180	4	,	,	PUNCT
cana-5405	180	5	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	180	6	,	,	PUNCT
cana-5405	180	7	ℶ𝜏	ℶ𝜏	PROPN
cana-5405	180	8	,	,	PUNCT
cana-5405	180	9	휁	휁	NOUN
cana-5405	180	10	)	)	PUNCT
cana-5405	180	11	≤	≤	NOUN
cana-5405	180	12	ψ	ψ	X
cana-5405	181	1	[	[	X
cana-5405	181	2	max	max	X
cana-5405	181	3	(	(	PUNCT
cana-5405	181	4	ℋ(ℌ𝜛	ℋ(ℌ𝜛	NUM
cana-5405	181	5	,	,	PUNCT
cana-5405	181	6	η𝜔	η𝜔	NOUN
cana-5405	181	7	,	,	PUNCT
cana-5405	181	8	η𝜏	η𝜏	ADP
cana-5405	181	9	,	,	PUNCT
cana-5405	181	10	휁	휁	NOUN
cana-5405	181	11	)	)	PUNCT
cana-5405	181	12	,	,	PUNCT
cana-5405	181	13	ℋ(ℑ𝜛	ℋ(ℑ𝜛	PROPN
cana-5405	181	14	,	,	PUNCT
cana-5405	181	15	η𝜔	η𝜔	PROPN
cana-5405	181	16	,	,	PUNCT
cana-5405	181	17	η𝜏	η𝜏	ADP
cana-5405	181	18	,	,	PUNCT
cana-5405	181	19	휁	휁	NOUN
cana-5405	181	20	)	)	PUNCT
cana-5405	181	21	,	,	PUNCT
cana-5405	181	22	ℋ(ℌ𝜛	ℋ(ℌ𝜛	NUM
cana-5405	181	23	,	,	PUNCT
cana-5405	181	24	η𝜔	η𝜔	NOUN
cana-5405	181	25	,	,	PUNCT
cana-5405	181	26	η𝜏	η𝜏	ADP
cana-5405	181	27	,	,	PUNCT
cana-5405	181	28	휁	휁	NOUN
cana-5405	181	29	)	)	PUNCT
cana-5405	181	30	,	,	PUNCT
cana-5405	181	31	ℋ(ℑ𝜛	ℋ(ℑ𝜛	NUM
cana-5405	181	32	,	,	PUNCT
cana-5405	181	33	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	181	34	,	,	PUNCT
cana-5405	181	35	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	181	36	,	,	PUNCT
cana-5405	181	37	휁	휁	NOUN
cana-5405	181	38	)	)	PUNCT
cana-5405	181	39	)	)	PUNCT
cana-5405	181	40	]	]	PUNCT
cana-5405	181	41	and	and	CCONJ
cana-5405	181	42	𝒪	𝒪	PROPN
cana-5405	181	43	(	(	PUNCT
cana-5405	181	44	ℑ𝜛	ℑ𝜛	PROPN
cana-5405	181	45	,	,	PUNCT
cana-5405	181	46	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	181	47	,	,	PUNCT
cana-5405	181	48	ℶ𝜏	ℶ𝜏	PROPN
cana-5405	181	49	,	,	PUNCT
cana-5405	181	50	휁	휁	NOUN
cana-5405	181	51	)	)	PUNCT
cana-5405	181	52	≤	≤	NOUN
cana-5405	181	53	ω	ω	PROPN
cana-5405	182	1	[	[	X
cana-5405	182	2	max	max	X
cana-5405	182	3	(	(	PUNCT
cana-5405	182	4	𝒪(ℌ𝜛	𝒪(ℌ𝜛	PROPN
cana-5405	182	5	,	,	PUNCT
cana-5405	182	6	η𝜔	η𝜔	PROPN
cana-5405	182	7	,	,	PUNCT
cana-5405	182	8	η𝜏	η𝜏	ADP
cana-5405	182	9	,	,	PUNCT
cana-5405	182	10	휁	휁	NOUN
cana-5405	182	11	)	)	PUNCT
cana-5405	182	12	,	,	PUNCT
cana-5405	182	13	𝒪(ℑ𝜛	𝒪(ℑ𝜛	PROPN
cana-5405	182	14	,	,	PUNCT
cana-5405	182	15	η𝜔	η𝜔	PROPN
cana-5405	182	16	,	,	PUNCT
cana-5405	182	17	η𝜏	η𝜏	ADP
cana-5405	182	18	,	,	PUNCT
cana-5405	182	19	휁	휁	NOUN
cana-5405	182	20	)	)	PUNCT
cana-5405	182	21	,	,	PUNCT
cana-5405	182	22	𝒪(ℌ𝜛	𝒪(ℌ𝜛	PROPN
cana-5405	182	23	,	,	PUNCT
cana-5405	182	24	η𝜔	η𝜔	PROPN
cana-5405	182	25	,	,	PUNCT
cana-5405	182	26	η𝜏	η𝜏	ADP
cana-5405	182	27	,	,	PUNCT
cana-5405	182	28	휁	휁	NOUN
cana-5405	182	29	)	)	PUNCT
cana-5405	182	30	,	,	PUNCT
cana-5405	182	31	𝒪(ℑ𝜛	𝒪(ℑ𝜛	PROPN
cana-5405	182	32	,	,	PUNCT
cana-5405	182	33	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	182	34	,	,	PUNCT
cana-5405	182	35	ℌ𝜛	ℌ𝜛	PROPN
cana-5405	182	36	,	,	PUNCT
cana-5405	182	37	휁	휁	NOUN
cana-5405	182	38	)	)	PUNCT
cana-5405	182	39	)	)	PUNCT
cana-5405	182	40	]	]	PUNCT
cana-5405	182	41	communications	communication	NOUN
cana-5405	182	42	on	on	ADP
cana-5405	182	43	applied	apply	VERB
cana-5405	182	44	nonlinear	nonlinear	ADJ
cana-5405	182	45	analysis	analysis	NOUN
cana-5405	182	46	issn	issn	NOUN
cana-5405	182	47	:	:	PUNCT
cana-5405	182	48	1074	1074	NUM
cana-5405	182	49	-	-	PUNCT
cana-5405	182	50	133x	133x	NUM
cana-5405	182	51	vol	vol	VERB
cana-5405	182	52	32	32	NUM
cana-5405	182	53	no	no	NOUN
cana-5405	182	54	.	.	PUNCT
cana-5405	183	1	10s	10	NOUN
cana-5405	183	2	(	(	PUNCT
cana-5405	183	3	2025	2025	NUM
cana-5405	183	4	)	)	PUNCT
cana-5405	183	5	2157	2157	NUM
cana-5405	183	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	183	7	for	for	ADP
cana-5405	183	8	all	all	DET
cana-5405	183	9	𝜛	𝜛	PROPN
cana-5405	183	10	,	,	PUNCT
cana-5405	183	11	𝜔	𝜔	PROPN
cana-5405	183	12	,	,	PUNCT
cana-5405	183	13	𝜏	𝜏	X
cana-5405	183	14	𝜖	𝜖	X
cana-5405	183	15	ξ	ξ	PROPN
cana-5405	183	16	and	and	CCONJ
cana-5405	183	17	t	t	PROPN
cana-5405	183	18	>	>	X
cana-5405	183	19	0	0	NUM
cana-5405	183	20	where	where	SCONJ
cana-5405	183	21	φ	φ	PROPN
cana-5405	183	22	,	,	PUNCT
cana-5405	183	23	ψ	ψ	PROPN
cana-5405	183	24	,	,	PUNCT
cana-5405	183	25	ω	ω	NOUN
cana-5405	183	26	:	:	PUNCT
cana-5405	183	27	[	[	X
cana-5405	183	28	0,1	0,1	NUM
cana-5405	183	29	]	]	PUNCT
cana-5405	183	30	→	→	X
cana-5405	183	31	[	[	X
cana-5405	183	32	0,1	0,1	NUM
cana-5405	183	33	]	]	PUNCT
cana-5405	183	34	is	be	AUX
cana-5405	183	35	a	a	DET
cana-5405	183	36	continuous	continuous	ADJ
cana-5405	183	37	and	and	CCONJ
cana-5405	183	38	increasing	increase	VERB
cana-5405	183	39	function	function	NOUN
cana-5405	183	40	with	with	ADP
cana-5405	183	41	φ(s	φ(s	NOUN
cana-5405	183	42	)	)	PUNCT
cana-5405	184	1	>	>	X
cana-5405	184	2	s	s	PROPN
cana-5405	184	3	and	and	CCONJ
cana-5405	184	4	ψ(s	ψ(s	NUM
cana-5405	184	5	)	)	PUNCT
cana-5405	185	1	<	<	X
cana-5405	185	2	s	s	X
cana-5405	185	3	ω(s	ω(s	PROPN
cana-5405	185	4	)	)	PUNCT
cana-5405	185	5	<	<	X
cana-5405	185	6	𝑠	𝑠	PROPN
cana-5405	185	7	for	for	ADP
cana-5405	185	8	0	0	NUM
cana-5405	185	9	<	<	X
cana-5405	185	10	s	s	X
cana-5405	185	11	<	<	X
cana-5405	185	12	1	1	NUM
cana-5405	185	13	and	and	CCONJ
cana-5405	185	14	𝜑(1	𝜑(1	PROPN
cana-5405	185	15	)	)	PUNCT
cana-5405	185	16	=	=	SYM
cana-5405	185	17	1	1	NUM
cana-5405	185	18	,	,	PUNCT
cana-5405	185	19	𝛹(0	𝛹(0	NUM
cana-5405	185	20	)	)	PUNCT
cana-5405	185	21	=	=	SYM
cana-5405	185	22	0	0	NUM
cana-5405	185	23	,	,	PUNCT
cana-5405	185	24	ω(0)=	ω(0)=	ADJ
cana-5405	185	25	0	0	NUM
cana-5405	185	26	then	then	ADV
cana-5405	185	27	ℑ	ℑ	PROPN
cana-5405	185	28	,	,	PUNCT
cana-5405	185	29	ℶ	ℶ	PROPN
cana-5405	185	30	,	,	PUNCT
cana-5405	185	31	ℱ	ℱ	PROPN
cana-5405	185	32	,	,	PUNCT
cana-5405	185	33	ℌ	ℌ	PROPN
cana-5405	185	34	,	,	PUNCT
cana-5405	185	35	η	η	PROPN
cana-5405	185	36	and	and	CCONJ
cana-5405	185	37	ξ	ξ	PROPN
cana-5405	185	38	have	have	VERB
cana-5405	185	39	a	a	DET
cana-5405	185	40	unique	unique	ADJ
cana-5405	185	41	common	common	ADJ
cana-5405	185	42	fixed	fix	VERB
cana-5405	185	43	point	point	NOUN
cana-5405	185	44	in	in	ADP
cana-5405	185	45	ξ	ξ	PROPN
cana-5405	185	46	.	.	PUNCT
cana-5405	186	1	proof	proof	NOUN
cana-5405	186	2	:	:	PUNCT
cana-5405	186	3	let	let	VERB
cana-5405	186	4	(	(	PUNCT
cana-5405	186	5	ℑ	ℑ	PROPN
cana-5405	186	6	,	,	PUNCT
cana-5405	186	7	ℌ	ℌ	PROPN
cana-5405	186	8	)	)	PUNCT
cana-5405	186	9	satisfy	satisfy	VERB
cana-5405	186	10	the	the	DET
cana-5405	186	11	property	property	NOUN
cana-5405	186	12	(	(	PUNCT
cana-5405	186	13	e.a	e.a	PROPN
cana-5405	186	14	)	)	PUNCT
cana-5405	186	15	.	.	PUNCT
cana-5405	187	1	by	by	ADP
cana-5405	187	2	the	the	DET
cana-5405	187	3	definition	definition	NOUN
cana-5405	187	4	of	of	ADP
cana-5405	187	5	(	(	PUNCT
cana-5405	187	6	e.a	e.a	PROPN
cana-5405	187	7	)	)	PUNCT
cana-5405	187	8	we	we	PRON
cana-5405	187	9	can	can	AUX
cana-5405	187	10	get	get	VERB
cana-5405	187	11	lim	lim	PROPN
cana-5405	187	12	𝑛→∞	𝑛→∞	NUM
cana-5405	187	13	𝒬	𝒬	PROPN
cana-5405	187	14	(	(	PUNCT
cana-5405	187	15	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	187	16	,	,	PUNCT
cana-5405	187	17	u	u	NOUN
cana-5405	187	18	,	,	PUNCT
cana-5405	187	19	u	u	NOUN
cana-5405	187	20	,	,	PUNCT
cana-5405	187	21	휁	휁	NOUN
cana-5405	187	22	)	)	PUNCT
cana-5405	188	1	=	=	SYM
cana-5405	188	2	lim	lim	PROPN
cana-5405	188	3	n→∞	n→∞	NUM
cana-5405	189	1	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	189	2	,	,	PUNCT
cana-5405	189	3	u	u	NOUN
cana-5405	189	4	,	,	PUNCT
cana-5405	189	5	u	u	NOUN
cana-5405	189	6	,	,	PUNCT
cana-5405	189	7	휁	휁	NOUN
cana-5405	189	8	)	)	PUNCT
cana-5405	189	9	=	=	SYM
cana-5405	189	10	1	1	NUM
cana-5405	189	11	and	and	CCONJ
cana-5405	189	12	lim	lim	PROPN
cana-5405	189	13	𝑛→∞	𝑛→∞	NUM
cana-5405	189	14	ℋ	ℋ	PROPN
cana-5405	189	15	(	(	PUNCT
cana-5405	189	16	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	189	17	,	,	PUNCT
cana-5405	189	18	,	,	PUNCT
cana-5405	189	19	u	u	NOUN
cana-5405	189	20	,	,	PUNCT
cana-5405	189	21	u	u	NOUN
cana-5405	189	22	,	,	PUNCT
cana-5405	189	23	휁	휁	NOUN
cana-5405	189	24	)	)	PUNCT
cana-5405	190	1	=	=	PROPN
cana-5405	190	2	lim	lim	PROPN
cana-5405	190	3	n→∞	n→∞	NUM
cana-5405	190	4	ℋ	ℋ	PROPN
cana-5405	190	5	(	(	PUNCT
cana-5405	190	6	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	190	7	,	,	PUNCT
cana-5405	190	8	,	,	PUNCT
cana-5405	190	9	u	u	NOUN
cana-5405	190	10	,	,	PUNCT
cana-5405	190	11	u	u	NOUN
cana-5405	190	12	,	,	PUNCT
cana-5405	190	13	휁	휁	NOUN
cana-5405	190	14	)	)	PUNCT
cana-5405	191	1	=	=	SYM
cana-5405	191	2	0	0	NUM
cana-5405	192	1	lim	lim	NOUN
cana-5405	192	2	𝑛→∞	𝑛→∞	NUM
cana-5405	192	3	𝒪	𝒪	PROPN
cana-5405	192	4	(	(	PUNCT
cana-5405	192	5	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	192	6	,	,	PUNCT
cana-5405	192	7	,	,	PUNCT
cana-5405	192	8	u	u	NOUN
cana-5405	192	9	,	,	PUNCT
cana-5405	192	10	u	u	NOUN
cana-5405	192	11	,	,	PUNCT
cana-5405	192	12	휁	휁	NOUN
cana-5405	192	13	)	)	PUNCT
cana-5405	193	1	=	=	SYM
cana-5405	193	2	lim	lim	PROPN
cana-5405	193	3	n→∞	n→∞	X
cana-5405	194	1	𝒪	𝒪	PROPN
cana-5405	194	2	(	(	PUNCT
cana-5405	194	3	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	194	4	,	,	PUNCT
cana-5405	194	5	,	,	PUNCT
cana-5405	194	6	u	u	NOUN
cana-5405	194	7	,	,	PUNCT
cana-5405	194	8	u	u	NOUN
cana-5405	194	9	,	,	PUNCT
cana-5405	194	10	휁	휁	NOUN
cana-5405	194	11	)	)	PUNCT
cana-5405	194	12	=	=	SYM
cana-5405	194	13	0	0	NUM
cana-5405	194	14	for	for	ADP
cana-5405	194	15	some	some	DET
cana-5405	194	16	u	u	NOUN
cana-5405	194	17	𝜖	𝜖	PROPN
cana-5405	194	18	ξ	ξ	PROPN
cana-5405	194	19	and	and	CCONJ
cana-5405	194	20	every	every	DET
cana-5405	194	21	휁	휁	X
cana-5405	194	22	>	>	X
cana-5405	194	23	0	0	NUM
cana-5405	194	24	.	.	PUNCT
cana-5405	195	1	because	because	SCONJ
cana-5405	195	2	neutrosophic	neutrosophic	ADJ
cana-5405	195	3	metric	metric	ADJ
cana-5405	195	4	space	space	NOUN
cana-5405	195	5	is	be	AUX
cana-5405	195	6	complete	complete	ADJ
cana-5405	195	7	and	and	CCONJ
cana-5405	195	8	ℑ	ℑ	PROPN
cana-5405	195	9	(	(	PUNCT
cana-5405	195	10	ξ	ξ	NOUN
cana-5405	195	11	)	)	PUNCT
cana-5405	195	12	⊆	⊆	NUM
cana-5405	195	13	ξ	ξ	PROPN
cana-5405	195	14	(	(	PUNCT
cana-5405	195	15	ξ	ξ	NOUN
cana-5405	195	16	)	)	PUNCT
cana-5405	195	17	,	,	PUNCT
cana-5405	195	18	there	there	PRON
cana-5405	195	19	exists	exist	VERB
cana-5405	195	20	a	a	DET
cana-5405	195	21	sequence	sequence	NOUN
cana-5405	195	22	{	{	PUNCT
cana-5405	195	23	𝜔n	𝜔n	NOUN
cana-5405	195	24	}	}	PUNCT
cana-5405	195	25	such	such	ADJ
cana-5405	195	26	that	that	DET
cana-5405	195	27	ℑ(𝜛n	ℑ(𝜛n	NOUN
cana-5405	195	28	)	)	PUNCT
cana-5405	195	29	=	=	SYM
cana-5405	195	30	ξ(𝜔n	ξ(𝜔n	NUM
cana-5405	195	31	)	)	PUNCT
cana-5405	195	32	,	,	PUNCT
cana-5405	195	33	which	which	PRON
cana-5405	195	34	implies	imply	VERB
cana-5405	195	35	lim	lim	PROPN
cana-5405	195	36	𝑛→∞	𝑛→∞	NUM
cana-5405	195	37	𝒬	𝒬	PROPN
cana-5405	195	38	(	(	PUNCT
cana-5405	195	39	ξ	ξ	X
cana-5405	195	40	𝜔𝑛	𝜔𝑛	ADP
cana-5405	195	41	𝑢	𝑢	PROPN
cana-5405	195	42	,	,	PUNCT
cana-5405	195	43	𝑢	𝑢	PROPN
cana-5405	195	44	,	,	PUNCT
cana-5405	195	45	휁	휁	NOUN
cana-5405	195	46	)	)	PUNCT
cana-5405	195	47	=	=	SYM
cana-5405	195	48	1	1	NUM
cana-5405	195	49	and	and	CCONJ
cana-5405	195	50	lim	lim	PROPN
cana-5405	195	51	𝑛→∞	𝑛→∞	NUM
cana-5405	195	52	ℋ	ℋ	PROPN
cana-5405	195	53	(	(	PUNCT
cana-5405	195	54	ξ	ξ	PROPN
cana-5405	195	55	𝜔𝑛𝑢	𝜔𝑛𝑢	ADJ
cana-5405	195	56	,	,	PUNCT
cana-5405	195	57	𝑢	𝑢	NOUN
cana-5405	195	58	,	,	PUNCT
cana-5405	195	59	휁	휁	NOUN
cana-5405	195	60	)	)	PUNCT
cana-5405	195	61	=	=	SYM
cana-5405	195	62	0	0	PROPN
cana-5405	195	63	,	,	PUNCT
cana-5405	195	64	lim	lim	PROPN
cana-5405	195	65	𝑛→∞	𝑛→∞	NUM
cana-5405	195	66	𝒪	𝒪	PROPN
cana-5405	195	67	(	(	PUNCT
cana-5405	195	68	ξ	ξ	PROPN
cana-5405	195	69	𝜔𝑛𝑢	𝜔𝑛𝑢	ADJ
cana-5405	195	70	,	,	PUNCT
cana-5405	195	71	𝑢	𝑢	NOUN
cana-5405	195	72	,	,	PUNCT
cana-5405	195	73	휁	휁	NOUN
cana-5405	195	74	)	)	PUNCT
cana-5405	196	1	=	=	SYM
cana-5405	196	2	0	0	NUM
cana-5405	196	3	now	now	ADV
cana-5405	196	4	𝒬	𝒬	PROPN
cana-5405	196	5	(	(	PUNCT
cana-5405	196	6	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	196	7	,	,	PUNCT
cana-5405	196	8	,	,	PUNCT
cana-5405	196	9	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	196	10	,	,	PUNCT
cana-5405	196	11	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	196	12	n+1	n+1	PROPN
cana-5405	196	13	,	,	PUNCT
cana-5405	196	14	휁	휁	NOUN
cana-5405	196	15	)	)	PUNCT
cana-5405	196	16	≥	≥	NOUN
cana-5405	196	17	φ	φ	NOUN
cana-5405	197	1	[	[	X
cana-5405	197	2	min	min	X
cana-5405	197	3	(	(	PUNCT
cana-5405	197	4	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	197	5	,	,	PUNCT
cana-5405	197	6	,	,	PUNCT
cana-5405	197	7	ξ	ξ	X
cana-5405	197	8	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	197	9	,	,	PUNCT
cana-5405	197	10	ξ	ξ	PROPN
cana-5405	197	11	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	197	12	,	,	PUNCT
cana-5405	197	13	휁	휁	NOUN
cana-5405	197	14	)	)	PUNCT
cana-5405	197	15	,	,	PUNCT
cana-5405	197	16	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	197	17	,	,	PUNCT
cana-5405	197	18	,	,	PUNCT
cana-5405	197	19	ξ	ξ	X
cana-5405	197	20	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	197	21	,	,	PUNCT
cana-5405	197	22	ξ	ξ	PROPN
cana-5405	197	23	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	197	24	,	,	PUNCT
cana-5405	197	25	휁	휁	NOUN
cana-5405	197	26	)	)	PUNCT
cana-5405	197	27	𝒬(ℌ𝜛𝑛	𝒬(ℌ𝜛𝑛	PROPN
cana-5405	197	28	,	,	PUNCT
cana-5405	197	29	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	197	30	,	,	PUNCT
cana-5405	197	31	ℶ	ℶ	PROPN
cana-5405	197	32	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	197	33	,	,	PUNCT
cana-5405	197	34	휁	휁	NOUN
cana-5405	197	35	)	)	PUNCT
cana-5405	197	36	,	,	PUNCT
cana-5405	197	37	𝒬	𝒬	PROPN
cana-5405	197	38	(	(	PUNCT
cana-5405	197	39	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	197	40	,	,	PUNCT
cana-5405	197	41	,	,	PUNCT
cana-5405	197	42	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	197	43	,	,	PUNCT
cana-5405	197	44	,	,	PUNCT
cana-5405	197	45	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	197	46	,	,	PUNCT
cana-5405	197	47	,	,	PUNCT
cana-5405	197	48	휁	휁	NOUN
cana-5405	197	49	)	)	PUNCT
cana-5405	197	50	)	)	PUNCT
cana-5405	197	51	]	]	PUNCT
cana-5405	197	52	ℋ	ℋ	PROPN
cana-5405	197	53	(	(	PUNCT
cana-5405	197	54	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	197	55	,	,	PUNCT
cana-5405	197	56	,	,	PUNCT
cana-5405	197	57	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	197	58	,	,	PUNCT
cana-5405	197	59	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	197	60	n+1	n+1	PROPN
cana-5405	197	61	,	,	PUNCT
cana-5405	197	62	휁	휁	NOUN
cana-5405	197	63	)	)	PUNCT
cana-5405	197	64	≤	≤	NOUN
cana-5405	197	65	ψ	ψ	X
cana-5405	198	1	[	[	X
cana-5405	198	2	max	max	X
cana-5405	198	3	(	(	PUNCT
cana-5405	198	4	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	198	5	,	,	PUNCT
cana-5405	198	6	,	,	PUNCT
cana-5405	198	7	ξ	ξ	X
cana-5405	198	8	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	198	9	,	,	PUNCT
cana-5405	198	10	ξ	ξ	PROPN
cana-5405	198	11	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	198	12	,	,	PUNCT
cana-5405	198	13	휁	휁	NOUN
cana-5405	198	14	)	)	PUNCT
cana-5405	198	15	,	,	PUNCT
cana-5405	198	16	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	198	17	,	,	PUNCT
cana-5405	198	18	,	,	PUNCT
cana-5405	198	19	ξ	ξ	X
cana-5405	198	20	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	198	21	,	,	PUNCT
cana-5405	198	22	ξ	ξ	PROPN
cana-5405	198	23	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	198	24	,	,	PUNCT
cana-5405	198	25	휁	휁	NOUN
cana-5405	198	26	)	)	PUNCT
cana-5405	198	27	ℋ(ℌ𝜛𝑛	ℋ(ℌ𝜛𝑛	PROPN
cana-5405	198	28	,	,	PUNCT
cana-5405	198	29	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	198	30	,	,	PUNCT
cana-5405	198	31	ℶ	ℶ	PROPN
cana-5405	198	32	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	198	33	,	,	PUNCT
cana-5405	198	34	휁	휁	NOUN
cana-5405	198	35	)	)	PUNCT
cana-5405	198	36	,	,	PUNCT
cana-5405	198	37	ℋ	ℋ	PROPN
cana-5405	198	38	(	(	PUNCT
cana-5405	198	39	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	198	40	,	,	PUNCT
cana-5405	198	41	,	,	PUNCT
cana-5405	198	42	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	198	43	,	,	PUNCT
cana-5405	198	44	,	,	PUNCT
cana-5405	198	45	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	198	46	,	,	PUNCT
cana-5405	198	47	,	,	PUNCT
cana-5405	198	48	휁	휁	NOUN
cana-5405	198	49	)	)	PUNCT
cana-5405	198	50	)	)	PUNCT
cana-5405	198	51	]	]	PUNCT
cana-5405	199	1	𝒪	𝒪	PROPN
cana-5405	199	2	(	(	PUNCT
cana-5405	199	3	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	199	4	,	,	PUNCT
cana-5405	199	5	,	,	PUNCT
cana-5405	199	6	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	199	7	,	,	PUNCT
cana-5405	199	8	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	199	9	n+1	n+1	PROPN
cana-5405	199	10	,	,	PUNCT
cana-5405	199	11	휁	휁	NOUN
cana-5405	199	12	)	)	PUNCT
cana-5405	199	13	≤	≤	NOUN
cana-5405	199	14	ω	ω	PROPN
cana-5405	200	1	[	[	X
cana-5405	200	2	max	max	X
cana-5405	200	3	(	(	PUNCT
cana-5405	200	4	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	200	5	,	,	PUNCT
cana-5405	200	6	,	,	PUNCT
cana-5405	200	7	ξ	ξ	X
cana-5405	200	8	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	200	9	,	,	PUNCT
cana-5405	200	10	ξ	ξ	PROPN
cana-5405	200	11	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	200	12	,	,	PUNCT
cana-5405	200	13	휁	휁	NOUN
cana-5405	200	14	)	)	PUNCT
cana-5405	200	15	,	,	PUNCT
cana-5405	200	16	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	200	17	,	,	PUNCT
cana-5405	200	18	,	,	PUNCT
cana-5405	200	19	ξ	ξ	X
cana-5405	200	20	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	200	21	,	,	PUNCT
cana-5405	200	22	ξ	ξ	PROPN
cana-5405	200	23	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	200	24	,	,	PUNCT
cana-5405	200	25	휁	휁	NOUN
cana-5405	200	26	)	)	PUNCT
cana-5405	200	27	𝒪(ℌ𝜛𝑛	𝒪(ℌ𝜛𝑛	PROPN
cana-5405	200	28	,	,	PUNCT
cana-5405	200	29	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	200	30	,	,	PUNCT
cana-5405	200	31	ℶ	ℶ	PROPN
cana-5405	200	32	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	200	33	,	,	PUNCT
cana-5405	200	34	휁	휁	NOUN
cana-5405	200	35	)	)	PUNCT
cana-5405	200	36	,	,	PUNCT
cana-5405	200	37	𝒪	𝒪	PROPN
cana-5405	200	38	(	(	PUNCT
cana-5405	200	39	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	200	40	,	,	PUNCT
cana-5405	200	41	,	,	PUNCT
cana-5405	200	42	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	200	43	,	,	PUNCT
cana-5405	200	44	,	,	PUNCT
cana-5405	200	45	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	200	46	,	,	PUNCT
cana-5405	200	47	,	,	PUNCT
cana-5405	200	48	휁	휁	NOUN
cana-5405	200	49	)	)	PUNCT
cana-5405	200	50	)	)	PUNCT
cana-5405	200	51	]	]	PUNCT
cana-5405	200	52	by	by	ADP
cana-5405	200	53	the	the	DET
cana-5405	200	54	definition	definition	NOUN
cana-5405	200	55	of	of	ADP
cana-5405	200	56	neutrosophic	neutrosophic	ADJ
cana-5405	200	57	metric	metric	ADJ
cana-5405	200	58	space	space	NOUN
cana-5405	200	59	,	,	PUNCT
cana-5405	200	60	we	we	PRON
cana-5405	200	61	can	can	AUX
cana-5405	200	62	get	get	VERB
cana-5405	200	63	𝒬	𝒬	PROPN
cana-5405	200	64	(	(	PUNCT
cana-5405	200	65	𝜛	𝜛	PROPN
cana-5405	200	66	,	,	PUNCT
cana-5405	200	67	𝜔	𝜔	ADP
cana-5405	200	68	,	,	PUNCT
cana-5405	200	69	𝜏	𝜏	NOUN
cana-5405	200	70	,	,	PUNCT
cana-5405	200	71	휁	휁	NOUN
cana-5405	200	72	)	)	PUNCT
cana-5405	200	73	≥	≥	NOUN
cana-5405	200	74	𝒬	𝒬	PROPN
cana-5405	200	75	(	(	PUNCT
cana-5405	200	76	𝜛	𝜛	PROPN
cana-5405	200	77	,	,	PUNCT
cana-5405	200	78	u	u	NOUN
cana-5405	200	79	,	,	PUNCT
cana-5405	200	80	u	u	NOUN
cana-5405	200	81	,	,	PUNCT
cana-5405	200	82	1/3	1/3	PRON
cana-5405	200	83	휁	휁	NOUN
cana-5405	200	84	)	)	PUNCT
cana-5405	200	85	∗	∗	NOUN
cana-5405	200	86	𝒬	𝒬	PROPN
cana-5405	200	87	(	(	PUNCT
cana-5405	200	88	u	u	NOUN
cana-5405	200	89	,	,	PUNCT
cana-5405	200	90	𝜔	𝜔	VERB
cana-5405	200	91	,	,	PUNCT
cana-5405	200	92	𝜏	𝜏	NOUN
cana-5405	200	93	2/3	2/3	NUM
cana-5405	200	94	휁	휁	NOUN
cana-5405	200	95	)	)	PUNCT
cana-5405	200	96	≥	≥	NOUN
cana-5405	200	97	𝒬	𝒬	PROPN
cana-5405	200	98	(	(	PUNCT
cana-5405	200	99	𝜛	𝜛	PROPN
cana-5405	200	100	,	,	PUNCT
cana-5405	200	101	u	u	NOUN
cana-5405	200	102	,	,	PUNCT
cana-5405	200	103	u,1/3	u,1/3	ADJ
cana-5405	200	104	휁	휁	NOUN
cana-5405	200	105	)	)	PUNCT
cana-5405	200	106	∗	∗	NOUN
cana-5405	200	107	𝒬	𝒬	PROPN
cana-5405	200	108	(	(	PUNCT
cana-5405	200	109	𝜔	𝜔	PROPN
cana-5405	200	110	y	y	PROPN
cana-5405	200	111	,	,	PUNCT
cana-5405	200	112	u	u	NOUN
cana-5405	200	113	,	,	PUNCT
cana-5405	200	114	u	u	NOUN
cana-5405	200	115	,	,	PUNCT
cana-5405	200	116	1/3	1/3	PRON
cana-5405	200	117	휁	휁	NOUN
cana-5405	200	118	)	)	PUNCT
cana-5405	200	119	∗	∗	NOUN
cana-5405	200	120	𝒬	𝒬	PROPN
cana-5405	200	121	(	(	PUNCT
cana-5405	200	122	𝜏	𝜏	PROPN
cana-5405	200	123	,	,	PUNCT
cana-5405	200	124	u	u	NOUN
cana-5405	200	125	,	,	PUNCT
cana-5405	200	126	u	u	NOUN
cana-5405	200	127	,	,	PUNCT
cana-5405	200	128	1/3휁	1/3휁	NOUN
cana-5405	200	129	)	)	PUNCT
cana-5405	200	130	ℋ	ℋ	PROPN
cana-5405	200	131	(	(	PUNCT
cana-5405	200	132	𝜛	𝜛	PROPN
cana-5405	200	133	,	,	PUNCT
cana-5405	200	134	𝜔	𝜔	ADP
cana-5405	200	135	,	,	PUNCT
cana-5405	200	136	𝜏	𝜏	NOUN
cana-5405	200	137	,	,	PUNCT
cana-5405	200	138	휁	휁	NOUN
cana-5405	200	139	)	)	PUNCT
cana-5405	200	140	≤	≤	NOUN
cana-5405	200	141	ℋ	ℋ	PROPN
cana-5405	200	142	(	(	PUNCT
cana-5405	200	143	𝜛	𝜛	PROPN
cana-5405	200	144	,	,	PUNCT
cana-5405	200	145	u	u	NOUN
cana-5405	200	146	,	,	PUNCT
cana-5405	200	147	u	u	NOUN
cana-5405	200	148	,	,	PUNCT
cana-5405	200	149	1/3	1/3	PRON
cana-5405	200	150	휁	휁	NOUN
cana-5405	200	151	)	)	PUNCT
cana-5405	200	152	◊	◊	PROPN
cana-5405	200	153	ℋ	ℋ	PROPN
cana-5405	200	154	(	(	PUNCT
cana-5405	200	155	u	u	PROPN
cana-5405	200	156	,	,	PUNCT
cana-5405	200	157	𝜔	𝜔	VERB
cana-5405	200	158	,	,	PUNCT
cana-5405	200	159	𝜏	𝜏	NOUN
cana-5405	200	160	2/3	2/3	NUM
cana-5405	200	161	휁	휁	NOUN
cana-5405	200	162	)	)	PUNCT
cana-5405	200	163	≤	≤	NOUN
cana-5405	200	164	ℋ	ℋ	PROPN
cana-5405	200	165	(	(	PUNCT
cana-5405	200	166	𝜛	𝜛	PROPN
cana-5405	200	167	,	,	PUNCT
cana-5405	200	168	u	u	NOUN
cana-5405	200	169	,	,	PUNCT
cana-5405	200	170	u,1/3	u,1/3	ADJ
cana-5405	200	171	휁	휁	NOUN
cana-5405	200	172	)	)	PUNCT
cana-5405	200	173	◊	◊	PROPN
cana-5405	200	174	ℋ	ℋ	PROPN
cana-5405	200	175	(	(	PUNCT
cana-5405	200	176	𝜔	𝜔	PROPN
cana-5405	200	177	y	y	PROPN
cana-5405	200	178	,	,	PUNCT
cana-5405	200	179	u	u	NOUN
cana-5405	200	180	,	,	PUNCT
cana-5405	200	181	u	u	NOUN
cana-5405	200	182	,	,	PUNCT
cana-5405	200	183	1/3	1/3	PRON
cana-5405	200	184	휁	휁	NOUN
cana-5405	200	185	)	)	PUNCT
cana-5405	200	186	◊	◊	PROPN
cana-5405	200	187	ℋ	ℋ	PROPN
cana-5405	200	188	(	(	PUNCT
cana-5405	200	189	𝜏	𝜏	PROPN
cana-5405	200	190	,	,	PUNCT
cana-5405	200	191	u	u	NOUN
cana-5405	200	192	,	,	PUNCT
cana-5405	200	193	u	u	NOUN
cana-5405	200	194	,	,	PUNCT
cana-5405	200	195	1/3휁	1/3휁	NOUN
cana-5405	200	196	)	)	PUNCT
cana-5405	200	197	𝒪	𝒪	PROPN
cana-5405	200	198	(	(	PUNCT
cana-5405	200	199	𝜛	𝜛	PROPN
cana-5405	200	200	,	,	PUNCT
cana-5405	200	201	𝜔	𝜔	ADP
cana-5405	200	202	,	,	PUNCT
cana-5405	200	203	𝜏	𝜏	NOUN
cana-5405	200	204	,	,	PUNCT
cana-5405	200	205	휁	휁	NOUN
cana-5405	200	206	)	)	PUNCT
cana-5405	200	207	≤	≤	NOUN
cana-5405	200	208	𝒪	𝒪	PROPN
cana-5405	200	209	(	(	PUNCT
cana-5405	200	210	𝜛	𝜛	PROPN
cana-5405	200	211	,	,	PUNCT
cana-5405	200	212	u	u	NOUN
cana-5405	200	213	,	,	PUNCT
cana-5405	200	214	u	u	NOUN
cana-5405	200	215	,	,	PUNCT
cana-5405	200	216	1/3	1/3	PRON
cana-5405	200	217	휁	휁	NOUN
cana-5405	200	218	)	)	PUNCT
cana-5405	200	219	◊	◊	PROPN
cana-5405	200	220	𝒪	𝒪	PROPN
cana-5405	200	221	(	(	PUNCT
cana-5405	200	222	u	u	NOUN
cana-5405	200	223	,	,	PUNCT
cana-5405	200	224	𝜔	𝜔	VERB
cana-5405	200	225	,	,	PUNCT
cana-5405	200	226	𝜏	𝜏	NOUN
cana-5405	200	227	2/3	2/3	NUM
cana-5405	200	228	휁	휁	NOUN
cana-5405	200	229	)	)	PUNCT
cana-5405	200	230	≤	≤	NOUN
cana-5405	200	231	𝒪	𝒪	PROPN
cana-5405	200	232	(	(	PUNCT
cana-5405	200	233	𝜛	𝜛	PROPN
cana-5405	200	234	,	,	PUNCT
cana-5405	200	235	u	u	NOUN
cana-5405	200	236	,	,	PUNCT
cana-5405	200	237	u,1/3	u,1/3	ADJ
cana-5405	200	238	휁	휁	NOUN
cana-5405	200	239	)	)	PUNCT
cana-5405	200	240	◊	◊	PROPN
cana-5405	200	241	𝒪	𝒪	NOUN
cana-5405	200	242	(	(	PUNCT
cana-5405	200	243	𝜔	𝜔	PROPN
cana-5405	200	244	y	y	PROPN
cana-5405	200	245	,	,	PUNCT
cana-5405	200	246	u	u	NOUN
cana-5405	200	247	,	,	PUNCT
cana-5405	200	248	u	u	NOUN
cana-5405	200	249	,	,	PUNCT
cana-5405	200	250	1/3	1/3	PRON
cana-5405	200	251	휁	휁	NOUN
cana-5405	200	252	)	)	PUNCT
cana-5405	200	253	◊	◊	PROPN
cana-5405	200	254	𝒪	𝒪	PROPN
cana-5405	200	255	(	(	PUNCT
cana-5405	200	256	𝜏	𝜏	NOUN
cana-5405	200	257	,	,	PUNCT
cana-5405	200	258	u	u	NOUN
cana-5405	200	259	,	,	PUNCT
cana-5405	200	260	u	u	NOUN
cana-5405	200	261	,	,	PUNCT
cana-5405	200	262	1/3휁	1/3휁	NUM
cana-5405	200	263	)	)	PUNCT
cana-5405	200	264	thus	thus	ADV
cana-5405	200	265	lim	lim	PROPN
cana-5405	200	266	𝑛→∞	𝑛→∞	NUM
cana-5405	200	267	𝒬	𝒬	PROPN
cana-5405	200	268	(	(	PUNCT
cana-5405	200	269	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	200	270	,	,	PUNCT
cana-5405	200	271	,	,	PUNCT
cana-5405	200	272	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	200	273	,	,	PUNCT
cana-5405	200	274	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	200	275	n+1	n+1	PROPN
cana-5405	200	276	,	,	PUNCT
cana-5405	200	277	휁	휁	NOUN
cana-5405	200	278	)	)	PUNCT
cana-5405	200	279	≥	≥	NOUN
cana-5405	200	280	lim	lim	PROPN
cana-5405	200	281	𝑛→∞	𝑛→∞	NUM
cana-5405	200	282	φ	φ	PROPN
cana-5405	201	1	[	[	X
cana-5405	201	2	min	min	X
cana-5405	201	3	(	(	PUNCT
cana-5405	201	4	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	201	5	,	,	PUNCT
cana-5405	201	6	,	,	PUNCT
cana-5405	201	7	ξ	ξ	X
cana-5405	201	8	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	201	9	,	,	PUNCT
cana-5405	201	10	ξ	ξ	PROPN
cana-5405	201	11	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	201	12	,	,	PUNCT
cana-5405	201	13	휁	휁	NOUN
cana-5405	201	14	)	)	PUNCT
cana-5405	201	15	,	,	PUNCT
cana-5405	201	16	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	201	17	,	,	PUNCT
cana-5405	201	18	,	,	PUNCT
cana-5405	201	19	ξ	ξ	X
cana-5405	201	20	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	201	21	,	,	PUNCT
cana-5405	201	22	ξ	ξ	PROPN
cana-5405	201	23	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	201	24	,	,	PUNCT
cana-5405	201	25	휁	휁	NOUN
cana-5405	201	26	)	)	PUNCT
cana-5405	201	27	𝒬(ℌ𝜛𝑛	𝒬(ℌ𝜛𝑛	PROPN
cana-5405	201	28	,	,	PUNCT
cana-5405	201	29	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	201	30	,	,	PUNCT
cana-5405	201	31	ℶ	ℶ	PROPN
cana-5405	201	32	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	201	33	,	,	PUNCT
cana-5405	201	34	휁	휁	NOUN
cana-5405	201	35	)	)	PUNCT
cana-5405	201	36	,	,	PUNCT
cana-5405	201	37	𝒬	𝒬	PROPN
cana-5405	201	38	(	(	PUNCT
cana-5405	201	39	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	201	40	,	,	PUNCT
cana-5405	201	41	,	,	PUNCT
cana-5405	201	42	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	201	43	,	,	PUNCT
cana-5405	201	44	,	,	PUNCT
cana-5405	201	45	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	201	46	,	,	PUNCT
cana-5405	201	47	,	,	PUNCT
cana-5405	201	48	휁	휁	NOUN
cana-5405	201	49	)	)	PUNCT
cana-5405	201	50	)	)	PUNCT
cana-5405	201	51	]	]	PUNCT
cana-5405	201	52	≥	≥	PROPN
cana-5405	201	53	lim	lim	NOUN
cana-5405	201	54	𝑛→∞	𝑛→∞	NUM
cana-5405	201	55	𝜑	𝜑	PROPN
cana-5405	202	1	[	[	X
cana-5405	202	2	min	min	X
cana-5405	202	3	(	(	PUNCT
cana-5405	202	4	1	1	NUM
cana-5405	202	5	∗	∗	NOUN
cana-5405	202	6	1	1	NUM
cana-5405	202	7	∗	∗	NOUN
cana-5405	202	8	1	1	NUM
cana-5405	202	9	,	,	PUNCT
cana-5405	202	10	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	202	11	,	,	PUNCT
cana-5405	202	12	,	,	PUNCT
cana-5405	202	13	ξ	ξ	X
cana-5405	202	14	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	202	15	,	,	PUNCT
cana-5405	202	16	ξ	ξ	PROPN
cana-5405	202	17	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	202	18	,	,	PUNCT
cana-5405	202	19	휁	휁	NOUN
cana-5405	202	20	)	)	PUNCT
cana-5405	202	21	1	1	NUM
cana-5405	202	22	∗	∗	NOUN
cana-5405	202	23	1	1	NUM
cana-5405	202	24	∗	∗	NOUN
cana-5405	202	25	1	1	NUM
cana-5405	202	26	,	,	PUNCT
cana-5405	202	27	1	1	NUM
cana-5405	202	28	∗	∗	NOUN
cana-5405	202	29	1	1	NUM
cana-5405	202	30	∗	∗	NOUN
cana-5405	202	31	1	1	NUM
cana-5405	202	32	)	)	PUNCT
cana-5405	202	33	]	]	PUNCT
cana-5405	203	1	lim	lim	NOUN
cana-5405	203	2	𝑛→∞	𝑛→∞	NUM
cana-5405	203	3	ℋ	ℋ	PROPN
cana-5405	203	4	(	(	PUNCT
cana-5405	203	5	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	203	6	,	,	PUNCT
cana-5405	203	7	,	,	PUNCT
cana-5405	203	8	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	203	9	,	,	PUNCT
cana-5405	203	10	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	203	11	n+1	n+1	PROPN
cana-5405	203	12	,	,	PUNCT
cana-5405	203	13	휁	휁	NOUN
cana-5405	203	14	)	)	PUNCT
cana-5405	203	15	≤	≤	NOUN
cana-5405	203	16	lim	lim	NOUN
cana-5405	203	17	𝑛→∞	𝑛→∞	NUM
cana-5405	203	18	ψ	ψ	X
cana-5405	203	19	[	[	X
cana-5405	203	20	max	max	X
cana-5405	203	21	(	(	PUNCT
cana-5405	203	22	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	203	23	,	,	PUNCT
cana-5405	203	24	,	,	PUNCT
cana-5405	203	25	ξ	ξ	X
cana-5405	203	26	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	203	27	,	,	PUNCT
cana-5405	203	28	ξ	ξ	PROPN
cana-5405	203	29	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	203	30	,	,	PUNCT
cana-5405	203	31	휁	휁	NOUN
cana-5405	203	32	)	)	PUNCT
cana-5405	203	33	,	,	PUNCT
cana-5405	203	34	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	203	35	,	,	PUNCT
cana-5405	203	36	,	,	PUNCT
cana-5405	203	37	ξ	ξ	X
cana-5405	203	38	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	203	39	,	,	PUNCT
cana-5405	203	40	ξ	ξ	PROPN
cana-5405	203	41	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	203	42	,	,	PUNCT
cana-5405	203	43	휁	휁	NOUN
cana-5405	203	44	)	)	PUNCT
cana-5405	203	45	ℋ(ℌ𝜛𝑛	ℋ(ℌ𝜛𝑛	PROPN
cana-5405	203	46	,	,	PUNCT
cana-5405	203	47	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	203	48	,	,	PUNCT
cana-5405	203	49	ℶ	ℶ	PROPN
cana-5405	203	50	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	203	51	,	,	PUNCT
cana-5405	203	52	휁	휁	NOUN
cana-5405	203	53	)	)	PUNCT
cana-5405	203	54	,	,	PUNCT
cana-5405	203	55	ℋ	ℋ	PROPN
cana-5405	203	56	(	(	PUNCT
cana-5405	203	57	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	203	58	,	,	PUNCT
cana-5405	203	59	,	,	PUNCT
cana-5405	203	60	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	203	61	,	,	PUNCT
cana-5405	203	62	,	,	PUNCT
cana-5405	203	63	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	203	64	,	,	PUNCT
cana-5405	203	65	,	,	PUNCT
cana-5405	203	66	휁	휁	NOUN
cana-5405	203	67	)	)	PUNCT
cana-5405	203	68	)	)	PUNCT
cana-5405	203	69	]	]	PUNCT
cana-5405	204	1	≤	≤	NUM
cana-5405	204	2	lim	lim	NOUN
cana-5405	204	3	𝑛→∞	𝑛→∞	NUM
cana-5405	204	4	ψ	ψ	X
cana-5405	204	5	[	[	X
cana-5405	204	6	max	max	X
cana-5405	204	7	(	(	PUNCT
cana-5405	204	8	0	0	NUM
cana-5405	204	9	◊	◊	NOUN
cana-5405	204	10	0	0	NUM
cana-5405	204	11	◊	◊	NOUN
cana-5405	204	12	0	0	NUM
cana-5405	204	13	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	204	14	,	,	PUNCT
cana-5405	204	15	,	,	PUNCT
cana-5405	204	16	ξ	ξ	X
cana-5405	204	17	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	204	18	,	,	PUNCT
cana-5405	204	19	ξ	ξ	PROPN
cana-5405	204	20	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	204	21	,	,	PUNCT
cana-5405	204	22	휁	휁	NOUN
cana-5405	204	23	)	)	PUNCT
cana-5405	204	24	0	0	NUM
cana-5405	205	1	◊	◊	NOUN
cana-5405	205	2	0	0	NUM
cana-5405	206	1	◊	◊	NOUN
cana-5405	206	2	0	0	NUM
cana-5405	206	3	0	0	NUM
cana-5405	207	1	◊	◊	NOUN
cana-5405	207	2	0	0	NUM
cana-5405	208	1	◊	◊	NOUN
cana-5405	208	2	0	0	NUM
cana-5405	208	3	)	)	PUNCT
cana-5405	208	4	]	]	PUNCT
cana-5405	209	1	communications	communication	NOUN
cana-5405	209	2	on	on	ADP
cana-5405	209	3	applied	apply	VERB
cana-5405	209	4	nonlinear	nonlinear	ADJ
cana-5405	209	5	analysis	analysis	NOUN
cana-5405	209	6	issn	issn	NOUN
cana-5405	209	7	:	:	PUNCT
cana-5405	209	8	1074	1074	NUM
cana-5405	209	9	-	-	PUNCT
cana-5405	209	10	133x	133x	NUM
cana-5405	209	11	vol	vol	VERB
cana-5405	209	12	32	32	NUM
cana-5405	209	13	no	no	NOUN
cana-5405	209	14	.	.	PUNCT
cana-5405	210	1	10s	10	NOUN
cana-5405	210	2	(	(	PUNCT
cana-5405	210	3	2025	2025	NUM
cana-5405	210	4	)	)	PUNCT
cana-5405	210	5	2158	2158	NUM
cana-5405	210	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	211	1	lim	lim	NOUN
cana-5405	211	2	𝑛→∞	𝑛→∞	NUM
cana-5405	211	3	𝒪	𝒪	PROPN
cana-5405	211	4	(	(	PUNCT
cana-5405	211	5	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	211	6	,	,	PUNCT
cana-5405	211	7	,	,	PUNCT
cana-5405	211	8	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	211	9	,	,	PUNCT
cana-5405	211	10	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	211	11	n+1	n+1	PROPN
cana-5405	211	12	,	,	PUNCT
cana-5405	211	13	휁	휁	NOUN
cana-5405	211	14	)	)	PUNCT
cana-5405	211	15	≤	≤	NOUN
cana-5405	211	16	lim	lim	NOUN
cana-5405	211	17	𝑛→∞	𝑛→∞	NUM
cana-5405	211	18	ω	ω	PROPN
cana-5405	212	1	[	[	X
cana-5405	212	2	max	max	X
cana-5405	212	3	(	(	PUNCT
cana-5405	212	4	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	212	5	,	,	PUNCT
cana-5405	212	6	,	,	PUNCT
cana-5405	212	7	ξ	ξ	X
cana-5405	212	8	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	212	9	,	,	PUNCT
cana-5405	212	10	ξ	ξ	PROPN
cana-5405	212	11	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	212	12	,	,	PUNCT
cana-5405	212	13	휁	휁	NOUN
cana-5405	212	14	)	)	PUNCT
cana-5405	212	15	,	,	PUNCT
cana-5405	212	16	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	212	17	,	,	PUNCT
cana-5405	212	18	,	,	PUNCT
cana-5405	212	19	ξ	ξ	X
cana-5405	212	20	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	212	21	,	,	PUNCT
cana-5405	212	22	ξ	ξ	PROPN
cana-5405	212	23	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	212	24	,	,	PUNCT
cana-5405	212	25	휁	휁	NOUN
cana-5405	212	26	)	)	PUNCT
cana-5405	212	27	𝒪(ℌ𝜛𝑛	𝒪(ℌ𝜛𝑛	PROPN
cana-5405	212	28	,	,	PUNCT
cana-5405	212	29	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	212	30	,	,	PUNCT
cana-5405	212	31	ℶ	ℶ	PROPN
cana-5405	212	32	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	212	33	,	,	PUNCT
cana-5405	212	34	휁	휁	NOUN
cana-5405	212	35	)	)	PUNCT
cana-5405	212	36	,	,	PUNCT
cana-5405	212	37	𝒪	𝒪	PROPN
cana-5405	212	38	(	(	PUNCT
cana-5405	212	39	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	212	40	,	,	PUNCT
cana-5405	212	41	,	,	PUNCT
cana-5405	212	42	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	212	43	,	,	PUNCT
cana-5405	212	44	,	,	PUNCT
cana-5405	212	45	ℌ𝜛n	ℌ𝜛n	PROPN
cana-5405	212	46	,	,	PUNCT
cana-5405	212	47	,	,	PUNCT
cana-5405	212	48	휁	휁	NOUN
cana-5405	212	49	)	)	PUNCT
cana-5405	212	50	)	)	PUNCT
cana-5405	212	51	]	]	PUNCT
cana-5405	212	52	≤	≤	NUM
cana-5405	212	53	lim	lim	NOUN
cana-5405	212	54	𝑛→∞	𝑛→∞	NUM
cana-5405	212	55	ω	ω	PROPN
cana-5405	213	1	[	[	X
cana-5405	213	2	max	max	X
cana-5405	213	3	(	(	PUNCT
cana-5405	213	4	0	0	NUM
cana-5405	213	5	◊	◊	NOUN
cana-5405	213	6	0	0	NUM
cana-5405	213	7	◊	◊	NOUN
cana-5405	213	8	0	0	NUM
cana-5405	213	9	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	213	10	,	,	PUNCT
cana-5405	213	11	,	,	PUNCT
cana-5405	213	12	ξ	ξ	X
cana-5405	213	13	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	213	14	,	,	PUNCT
cana-5405	213	15	ξ	ξ	PROPN
cana-5405	213	16	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	213	17	,	,	PUNCT
cana-5405	213	18	휁	휁	NOUN
cana-5405	213	19	)	)	PUNCT
cana-5405	213	20	0	0	NUM
cana-5405	214	1	◊	◊	NOUN
cana-5405	214	2	0	0	NUM
cana-5405	215	1	◊	◊	NOUN
cana-5405	215	2	0	0	NUM
cana-5405	215	3	0	0	NUM
cana-5405	216	1	◊	◊	NOUN
cana-5405	216	2	0	0	NUM
cana-5405	217	1	◊	◊	NOUN
cana-5405	217	2	0	0	NUM
cana-5405	217	3	)	)	PUNCT
cana-5405	217	4	]	]	PUNCT
cana-5405	218	1	if	if	SCONJ
cana-5405	218	2	ℶ𝜔𝑛	ℶ𝜔𝑛	PRON
cana-5405	218	3	≠	≠	PROPN
cana-5405	218	4	u	u	NOUN
cana-5405	218	5	then	then	ADV
cana-5405	218	6	lim	lim	PROPN
cana-5405	218	7	𝑛→∞	𝑛→∞	NUM
cana-5405	218	8	𝒬	𝒬	PROPN
cana-5405	218	9	(	(	PUNCT
cana-5405	218	10	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	218	11	,	,	PUNCT
cana-5405	218	12	,	,	PUNCT
cana-5405	218	13	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	218	14	,	,	PUNCT
cana-5405	218	15	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	218	16	n+1	n+1	PROPN
cana-5405	218	17	,	,	PUNCT
cana-5405	218	18	휁	휁	NOUN
cana-5405	218	19	)	)	PUNCT
cana-5405	218	20	≥	≥	NOUN
cana-5405	218	21	lim	lim	PROPN
cana-5405	218	22	𝑛→∞	𝑛→∞	NUM
cana-5405	218	23	φ	φ	PROPN
cana-5405	219	1	[	[	X
cana-5405	219	2	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	219	3	,	,	PUNCT
cana-5405	219	4	,	,	PUNCT
cana-5405	219	5	ξ	ξ	X
cana-5405	219	6	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	219	7	,	,	PUNCT
cana-5405	219	8	ξ	ξ	PROPN
cana-5405	219	9	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	219	10	,	,	PUNCT
cana-5405	219	11	휁	휁	NOUN
cana-5405	219	12	)	)	PUNCT
cana-5405	219	13	]	]	PUNCT
cana-5405	219	14	>	>	X
cana-5405	219	15	lim	lim	PROPN
cana-5405	219	16	𝑛→∞	𝑛→∞	NUM
cana-5405	219	17	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	219	18	,	,	PUNCT
cana-5405	219	19	,	,	PUNCT
cana-5405	219	20	ξ	ξ	X
cana-5405	219	21	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	219	22	,	,	PUNCT
cana-5405	219	23	ξ	ξ	PROPN
cana-5405	219	24	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	219	25	,	,	PUNCT
cana-5405	219	26	휁	휁	NOUN
cana-5405	219	27	)	)	PUNCT
cana-5405	219	28	lim	lim	NOUN
cana-5405	219	29	𝑛→∞	𝑛→∞	NUM
cana-5405	219	30	ℋ	ℋ	PROPN
cana-5405	219	31	(	(	PUNCT
cana-5405	219	32	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	219	33	,	,	PUNCT
cana-5405	219	34	,	,	PUNCT
cana-5405	219	35	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	219	36	,	,	PUNCT
cana-5405	219	37	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	219	38	n+1	n+1	PROPN
cana-5405	219	39	,	,	PUNCT
cana-5405	219	40	휁	휁	NOUN
cana-5405	219	41	)	)	PUNCT
cana-5405	219	42	≥	≥	NOUN
cana-5405	219	43	lim	lim	NOUN
cana-5405	219	44	𝑛→∞	𝑛→∞	NUM
cana-5405	219	45	ψ	ψ	X
cana-5405	220	1	[	[	X
cana-5405	220	2	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	220	3	,	,	PUNCT
cana-5405	220	4	,	,	PUNCT
cana-5405	220	5	ξ	ξ	X
cana-5405	220	6	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	220	7	,	,	PUNCT
cana-5405	220	8	ξ	ξ	PROPN
cana-5405	220	9	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	220	10	,	,	PUNCT
cana-5405	220	11	휁	휁	NOUN
cana-5405	220	12	)	)	PUNCT
cana-5405	220	13	]	]	PUNCT
cana-5405	220	14	>	>	X
cana-5405	220	15	lim	lim	PROPN
cana-5405	220	16	𝑛→∞	𝑛→∞	NUM
cana-5405	220	17	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	220	18	,	,	PUNCT
cana-5405	220	19	,	,	PUNCT
cana-5405	220	20	ξ	ξ	X
cana-5405	220	21	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	220	22	,	,	PUNCT
cana-5405	220	23	ξ	ξ	PROPN
cana-5405	220	24	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	220	25	,	,	PUNCT
cana-5405	220	26	휁	휁	NOUN
cana-5405	220	27	)	)	PUNCT
cana-5405	220	28	lim	lim	NOUN
cana-5405	220	29	𝑛→∞	𝑛→∞	NUM
cana-5405	220	30	𝒪	𝒪	PROPN
cana-5405	220	31	(	(	PUNCT
cana-5405	220	32	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	220	33	,	,	PUNCT
cana-5405	220	34	,	,	PUNCT
cana-5405	220	35	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	220	36	,	,	PUNCT
cana-5405	220	37	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	220	38	n+1	n+1	PROPN
cana-5405	220	39	,	,	PUNCT
cana-5405	220	40	휁	휁	NOUN
cana-5405	220	41	)	)	PUNCT
cana-5405	220	42	≥	≥	NOUN
cana-5405	220	43	lim	lim	NOUN
cana-5405	220	44	𝑛→∞	𝑛→∞	NUM
cana-5405	220	45	ω	ω	PROPN
cana-5405	221	1	[	[	X
cana-5405	221	2	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	221	3	,	,	PUNCT
cana-5405	221	4	,	,	PUNCT
cana-5405	221	5	ξ	ξ	X
cana-5405	221	6	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	221	7	,	,	PUNCT
cana-5405	221	8	ξ	ξ	PROPN
cana-5405	221	9	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	221	10	,	,	PUNCT
cana-5405	221	11	휁	휁	NOUN
cana-5405	221	12	)	)	PUNCT
cana-5405	221	13	]	]	PUNCT
cana-5405	221	14	>	>	X
cana-5405	221	15	lim	lim	PROPN
cana-5405	221	16	𝑛→∞	𝑛→∞	NUM
cana-5405	221	17	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	221	18	,	,	PUNCT
cana-5405	221	19	,	,	PUNCT
cana-5405	221	20	ξ	ξ	X
cana-5405	221	21	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	221	22	,	,	PUNCT
cana-5405	221	23	ξ	ξ	PROPN
cana-5405	221	24	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	221	25	,	,	PUNCT
cana-5405	221	26	휁	휁	NOUN
cana-5405	221	27	)	)	PUNCT
cana-5405	221	28	is	be	AUX
cana-5405	221	29	a	a	DET
cana-5405	221	30	contradiction	contradiction	NOUN
cana-5405	221	31	by	by	ADP
cana-5405	221	32	the	the	DET
cana-5405	221	33	above	above	ADJ
cana-5405	221	34	lemma	lemma	PROPN
cana-5405	221	35	.	.	PUNCT
cana-5405	222	1	therefore	therefore	ADV
cana-5405	222	2	lim	lim	PROPN
cana-5405	222	3	n→∞	n→∞	NUM
cana-5405	222	4	ℑ	ℑ	PROPN
cana-5405	222	5	𝜛n	𝜛n	VERB
cana-5405	222	6	,	,	PUNCT
cana-5405	222	7	=	=	SYM
cana-5405	222	8	lim	lim	PROPN
cana-5405	222	9	n→∞	n→∞	X
cana-5405	223	1	ℶ	ℶ	NOUN
cana-5405	223	2	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	224	1	=	=	PUNCT
cana-5405	224	2	lim	lim	PROPN
cana-5405	224	3	ℱ	ℱ	PROPN
cana-5405	224	4	𝜏𝑛	𝜏𝑛	ADJ
cana-5405	224	5	=	=	PUNCT
cana-5405	224	6	n→∞	n→∞	NUM
cana-5405	224	7	lim	lim	NOUN
cana-5405	224	8	n→∞	n→∞	X
cana-5405	224	9	ℌ	ℌ	PROPN
cana-5405	224	10	𝜛n	𝜛n	VERB
cana-5405	224	11	,	,	PUNCT
cana-5405	224	12	=	=	PROPN
cana-5405	224	13	lim	lim	PROPN
cana-5405	224	14	n→∞	n→∞	NUM
cana-5405	224	15	η	η	PROPN
cana-5405	224	16	𝜔𝑛	𝜔𝑛	PROPN
cana-5405	224	17	=	=	PUNCT
cana-5405	224	18	lim	lim	PROPN
cana-5405	224	19	n→∞	n→∞	X
cana-5405	224	20	ξ	ξ	X
cana-5405	224	21	𝜏𝑛	𝜏𝑛	NOUN
cana-5405	224	22	=	=	PUNCT
cana-5405	224	23	u	u	PROPN
cana-5405	224	24	(	(	PUNCT
cana-5405	224	25	ξ	ξ	PROPN
cana-5405	224	26	,	,	PUNCT
cana-5405	224	27	𝒬	𝒬	PROPN
cana-5405	224	28	,	,	PUNCT
cana-5405	224	29	ℋ,𝒪	ℋ,𝒪	NOUN
cana-5405	224	30	*	*	PUNCT
cana-5405	224	31	,	,	PUNCT
cana-5405	224	32			PROPN
cana-5405	224	33	)	)	PUNCT
cana-5405	224	34	is	be	AUX
cana-5405	224	35	a	a	DET
cana-5405	224	36	complete	complete	ADJ
cana-5405	224	37	neutrosophic	neutrosophic	ADJ
cana-5405	224	38	metric	metric	ADJ
cana-5405	224	39	space	space	NOUN
cana-5405	224	40	.	.	PUNCT
cana-5405	225	1	there	there	PRON
cana-5405	225	2	exists	exist	VERB
cana-5405	225	3	𝜗0	𝜗0	NOUN
cana-5405	225	4	∈	∈	PROPN
cana-5405	225	5	ξ	ξ	ADP
cana-5405	225	6	such	such	ADJ
cana-5405	225	7	that	that	DET
cana-5405	225	8	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	225	9	=	=	SYM
cana-5405	225	10	u	u	NOUN
cana-5405	225	11	,	,	PUNCT
cana-5405	225	12	hence	hence	ADV
cana-5405	225	13	𝒬	𝒬	PROPN
cana-5405	225	14	(	(	PUNCT
cana-5405	225	15	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	225	16	,	,	PUNCT
cana-5405	225	17	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	225	18	,	,	PUNCT
cana-5405	225	19	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	225	20	n+1	n+1	PROPN
cana-5405	225	21	,	,	PUNCT
cana-5405	225	22	휁	휁	NOUN
cana-5405	225	23	)	)	PUNCT
cana-5405	225	24	)	)	PUNCT
cana-5405	225	25	≥	≥	NOUN
cana-5405	226	1	φ	φ	NUM
cana-5405	226	2	[	[	X
cana-5405	226	3	min	min	X
cana-5405	226	4	(	(	PUNCT
cana-5405	226	5	𝒬	𝒬	PROPN
cana-5405	226	6	(	(	PUNCT
cana-5405	226	7	ℌ𝜗0	ℌ𝜗0	NOUN
cana-5405	226	8	,	,	PUNCT
cana-5405	226	9	ξ	ξ	X
cana-5405	226	10	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	226	11	,	,	PUNCT
cana-5405	226	12	ξ	ξ	PROPN
cana-5405	226	13	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	226	14	,	,	PUNCT
cana-5405	226	15	휁	휁	NOUN
cana-5405	226	16	)	)	PUNCT
cana-5405	226	17	,	,	PUNCT
cana-5405	226	18	𝒬	𝒬	PROPN
cana-5405	226	19	(	(	PUNCT
cana-5405	226	20	ℑ𝜗0	ℑ𝜗0	X
cana-5405	226	21	,	,	PUNCT
cana-5405	226	22	ξ	ξ	X
cana-5405	226	23	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	226	24	,	,	PUNCT
cana-5405	226	25	ξ	ξ	X
cana-5405	226	26	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	226	27	,	,	PUNCT
cana-5405	226	28	휁	휁	PROPN
cana-5405	226	29	𝒬	𝒬	PROPN
cana-5405	226	30	(	(	PUNCT
cana-5405	226	31	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	226	32	,	,	PUNCT
cana-5405	226	33	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	226	34	,	,	PUNCT
cana-5405	226	35	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	226	36	,	,	PUNCT
cana-5405	226	37	휁	휁	NOUN
cana-5405	226	38	)	)	PUNCT
cana-5405	226	39	,	,	PUNCT
cana-5405	226	40	𝒬	𝒬	PROPN
cana-5405	226	41	(	(	PUNCT
cana-5405	226	42	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	226	43	,	,	PUNCT
cana-5405	226	44	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	226	45	,	,	PUNCT
cana-5405	226	46	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	226	47	,	,	PUNCT
cana-5405	226	48	휁	휁	NOUN
cana-5405	226	49	)	)	PUNCT
cana-5405	226	50	)	)	PUNCT
cana-5405	226	51	]	]	PUNCT
cana-5405	227	1	ℋ	ℋ	NOUN
cana-5405	227	2	(	(	PUNCT
cana-5405	227	3	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	227	4	,	,	PUNCT
cana-5405	227	5	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	227	6	,	,	PUNCT
cana-5405	227	7	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	227	8	n+1	n+1	PROPN
cana-5405	227	9	,	,	PUNCT
cana-5405	227	10	휁	휁	NOUN
cana-5405	227	11	)	)	PUNCT
cana-5405	227	12	)	)	PUNCT
cana-5405	227	13	≤	≤	NOUN
cana-5405	228	1	ψ	ψ	X
cana-5405	228	2	[	[	X
cana-5405	228	3	max	max	X
cana-5405	228	4	(	(	PUNCT
cana-5405	228	5	ℋ	ℋ	PROPN
cana-5405	228	6	(	(	PUNCT
cana-5405	228	7	ℌ𝜗0	ℌ𝜗0	NOUN
cana-5405	228	8	,	,	PUNCT
cana-5405	228	9	ξ	ξ	X
cana-5405	228	10	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	228	11	,	,	PUNCT
cana-5405	228	12	ξ	ξ	PROPN
cana-5405	228	13	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	228	14	,	,	PUNCT
cana-5405	228	15	휁	휁	NOUN
cana-5405	228	16	)	)	PUNCT
cana-5405	228	17	,	,	PUNCT
cana-5405	228	18	ℋ	ℋ	PROPN
cana-5405	228	19	(	(	PUNCT
cana-5405	228	20	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	228	21	,	,	PUNCT
cana-5405	228	22	ξ	ξ	X
cana-5405	228	23	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	228	24	,	,	PUNCT
cana-5405	228	25	ξ	ξ	X
cana-5405	228	26	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	228	27	,	,	PUNCT
cana-5405	228	28	휁	휁	PROPN
cana-5405	228	29	ℋ	ℋ	PROPN
cana-5405	228	30	(	(	PUNCT
cana-5405	228	31	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	228	32	,	,	PUNCT
cana-5405	228	33	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	228	34	,	,	PUNCT
cana-5405	228	35	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	228	36	,	,	PUNCT
cana-5405	228	37	휁	휁	NOUN
cana-5405	228	38	)	)	PUNCT
cana-5405	228	39	,	,	PUNCT
cana-5405	228	40	ℋ	ℋ	PROPN
cana-5405	228	41	(	(	PUNCT
cana-5405	228	42	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	228	43	,	,	PUNCT
cana-5405	228	44	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	228	45	,	,	PUNCT
cana-5405	228	46	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	228	47	,	,	PUNCT
cana-5405	228	48	휁	휁	NOUN
cana-5405	228	49	)	)	PUNCT
cana-5405	228	50	)	)	PUNCT
cana-5405	228	51	]	]	PUNCT
cana-5405	228	52	𝒪	𝒪	PROPN
cana-5405	228	53	(	(	PUNCT
cana-5405	228	54	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	228	55	,	,	PUNCT
cana-5405	228	56	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	228	57	,	,	PUNCT
cana-5405	228	58	ℶ𝜔	ℶ𝜔	PROPN
cana-5405	228	59	n+1	n+1	PROPN
cana-5405	228	60	,	,	PUNCT
cana-5405	228	61	휁	휁	NOUN
cana-5405	228	62	)	)	PUNCT
cana-5405	228	63	)	)	PUNCT
cana-5405	229	1	≤	≤	NUM
cana-5405	229	2	ω	ω	X
cana-5405	230	1	[	[	X
cana-5405	230	2	max	max	X
cana-5405	230	3	(	(	PUNCT
cana-5405	230	4	𝒪	𝒪	PROPN
cana-5405	230	5	(	(	PUNCT
cana-5405	230	6	ℌ𝜗0	ℌ𝜗0	NOUN
cana-5405	230	7	,	,	PUNCT
cana-5405	230	8	ξ	ξ	X
cana-5405	230	9	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	230	10	,	,	PUNCT
cana-5405	230	11	ξ	ξ	PROPN
cana-5405	230	12	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	230	13	,	,	PUNCT
cana-5405	230	14	휁	휁	NOUN
cana-5405	230	15	)	)	PUNCT
cana-5405	230	16	,	,	PUNCT
cana-5405	230	17	𝒪	𝒪	PROPN
cana-5405	230	18	(	(	PUNCT
cana-5405	230	19	ℑ𝜗0	ℑ𝜗0	X
cana-5405	230	20	,	,	PUNCT
cana-5405	230	21	ξ	ξ	X
cana-5405	230	22	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	230	23	,	,	PUNCT
cana-5405	230	24	ξ	ξ	X
cana-5405	230	25	𝜔𝑛+1	𝜔𝑛+1	NOUN
cana-5405	230	26	,	,	PUNCT
cana-5405	230	27	휁	휁	X
cana-5405	230	28	𝒪	𝒪	PROPN
cana-5405	230	29	(	(	PUNCT
cana-5405	230	30	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	230	31	,	,	PUNCT
cana-5405	230	32	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	230	33	,	,	PUNCT
cana-5405	230	34	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	230	35	,	,	PUNCT
cana-5405	230	36	휁	휁	NOUN
cana-5405	230	37	)	)	PUNCT
cana-5405	230	38	,	,	PUNCT
cana-5405	230	39	𝒪	𝒪	PROPN
cana-5405	230	40	(	(	PUNCT
cana-5405	230	41	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	230	42	,	,	PUNCT
cana-5405	230	43	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	230	44	,	,	PUNCT
cana-5405	230	45	ℌ𝜗0	ℌ𝜗0	ADJ
cana-5405	230	46	,	,	PUNCT
cana-5405	230	47	휁	휁	NOUN
cana-5405	230	48	)	)	PUNCT
cana-5405	230	49	)	)	PUNCT
cana-5405	230	50	]	]	PUNCT
cana-5405	230	51	on	on	ADP
cana-5405	230	52	making	make	VERB
cana-5405	230	53	n	n	PRON
cana-5405	230	54	→	→	SYM
cana-5405	230	55	∞	∞	PROPN
cana-5405	230	56	,	,	PUNCT
cana-5405	230	57	𝒬	𝒬	PROPN
cana-5405	230	58	(	(	PUNCT
cana-5405	230	59	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	230	60	,	,	PUNCT
cana-5405	230	61	u	u	NOUN
cana-5405	230	62	,	,	PUNCT
cana-5405	230	63	u	u	NOUN
cana-5405	230	64	,	,	PUNCT
cana-5405	230	65	휁	휁	NOUN
cana-5405	230	66	)	)	PUNCT
cana-5405	230	67	≥	≥	NOUN
cana-5405	230	68	φ	φ	NOUN
cana-5405	231	1	[	[	X
cana-5405	231	2	min	min	X
cana-5405	231	3	(	(	PUNCT
cana-5405	231	4	𝒬(u	𝒬(u	PROPN
cana-5405	231	5	,	,	PUNCT
cana-5405	231	6	u	u	NOUN
cana-5405	231	7	,	,	PUNCT
cana-5405	231	8	u	u	NOUN
cana-5405	231	9	,	,	PUNCT
cana-5405	231	10	휁	휁	NOUN
cana-5405	231	11	)	)	PUNCT
cana-5405	231	12	,	,	PUNCT
cana-5405	231	13	𝒬	𝒬	PROPN
cana-5405	231	14	(	(	PUNCT
cana-5405	231	15	u	u	PROPN
cana-5405	231	16	,	,	PUNCT
cana-5405	231	17	u	u	NOUN
cana-5405	231	18	,	,	PUNCT
cana-5405	231	19	u	u	NOUN
cana-5405	231	20	,	,	PUNCT
cana-5405	231	21	휁	휁	NOUN
cana-5405	231	22	)	)	PUNCT
cana-5405	231	23	𝒬	𝒬	PROPN
cana-5405	231	24	(	(	PUNCT
cana-5405	231	25	ℑ𝜗0u	ℑ𝜗0u	PROPN
cana-5405	231	26	,	,	PUNCT
cana-5405	231	27	u	u	NOUN
cana-5405	231	28	,	,	PUNCT
cana-5405	231	29	휁	휁	NOUN
cana-5405	231	30	)	)	PUNCT
cana-5405	231	31	,	,	PUNCT
cana-5405	231	32	𝒬	𝒬	PROPN
cana-5405	231	33	(	(	PUNCT
cana-5405	231	34	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	231	35	,	,	PUNCT
cana-5405	231	36	u	u	NOUN
cana-5405	231	37	,	,	PUNCT
cana-5405	231	38	u	u	NOUN
cana-5405	231	39	,	,	PUNCT
cana-5405	231	40	휁	휁	NOUN
cana-5405	231	41	)	)	PUNCT
cana-5405	231	42	)	)	PUNCT
cana-5405	231	43	]	]	PUNCT
cana-5405	232	1	ℋ	ℋ	NOUN
cana-5405	232	2	(	(	PUNCT
cana-5405	232	3	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	232	4	,	,	PUNCT
cana-5405	232	5	u	u	NOUN
cana-5405	232	6	,	,	PUNCT
cana-5405	232	7	u	u	NOUN
cana-5405	232	8	,	,	PUNCT
cana-5405	232	9	휁	휁	NOUN
cana-5405	232	10	)	)	PUNCT
cana-5405	232	11	≤	≤	NOUN
cana-5405	232	12	ψ	ψ	X
cana-5405	233	1	[	[	X
cana-5405	233	2	max	max	X
cana-5405	233	3	(	(	PUNCT
cana-5405	233	4	ℋ(u	ℋ(u	PROPN
cana-5405	233	5	,	,	PUNCT
cana-5405	233	6	u	u	NOUN
cana-5405	233	7	,	,	PUNCT
cana-5405	233	8	u	u	NOUN
cana-5405	233	9	,	,	PUNCT
cana-5405	233	10	휁	휁	NOUN
cana-5405	233	11	)	)	PUNCT
cana-5405	233	12	,	,	PUNCT
cana-5405	233	13	ℋ	ℋ	PROPN
cana-5405	233	14	(	(	PUNCT
cana-5405	233	15	u	u	PROPN
cana-5405	233	16	,	,	PUNCT
cana-5405	233	17	u	u	NOUN
cana-5405	233	18	,	,	PUNCT
cana-5405	233	19	u	u	NOUN
cana-5405	233	20	,	,	PUNCT
cana-5405	233	21	휁	휁	NOUN
cana-5405	233	22	)	)	PUNCT
cana-5405	233	23	ℋ	ℋ	PROPN
cana-5405	233	24	(	(	PUNCT
cana-5405	233	25	ℑ𝜗0u	ℑ𝜗0u	PROPN
cana-5405	233	26	,	,	PUNCT
cana-5405	233	27	u	u	NOUN
cana-5405	233	28	,	,	PUNCT
cana-5405	233	29	휁	휁	NOUN
cana-5405	233	30	)	)	PUNCT
cana-5405	233	31	,	,	PUNCT
cana-5405	233	32	ℋ	ℋ	PROPN
cana-5405	233	33	(	(	PUNCT
cana-5405	233	34	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	233	35	,	,	PUNCT
cana-5405	233	36	u	u	NOUN
cana-5405	233	37	,	,	PUNCT
cana-5405	233	38	u	u	NOUN
cana-5405	233	39	,	,	PUNCT
cana-5405	233	40	휁	휁	NOUN
cana-5405	233	41	)	)	PUNCT
cana-5405	233	42	)	)	PUNCT
cana-5405	233	43	]	]	PUNCT
cana-5405	234	1	𝒪	𝒪	PROPN
cana-5405	234	2	(	(	PUNCT
cana-5405	234	3	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	234	4	,	,	PUNCT
cana-5405	234	5	u	u	NOUN
cana-5405	234	6	,	,	PUNCT
cana-5405	234	7	u	u	NOUN
cana-5405	234	8	,	,	PUNCT
cana-5405	234	9	휁	휁	NOUN
cana-5405	234	10	)	)	PUNCT
cana-5405	234	11	≤	≤	NOUN
cana-5405	234	12	ω	ω	PROPN
cana-5405	235	1	[	[	X
cana-5405	235	2	max	max	X
cana-5405	235	3	(	(	PUNCT
cana-5405	235	4	𝒪(u	𝒪(u	PROPN
cana-5405	235	5	,	,	PUNCT
cana-5405	235	6	u	u	NOUN
cana-5405	235	7	,	,	PUNCT
cana-5405	235	8	u	u	NOUN
cana-5405	235	9	,	,	PUNCT
cana-5405	235	10	휁	휁	NOUN
cana-5405	235	11	)	)	PUNCT
cana-5405	235	12	,	,	PUNCT
cana-5405	235	13	𝒪	𝒪	PROPN
cana-5405	235	14	(	(	PUNCT
cana-5405	235	15	u	u	NOUN
cana-5405	235	16	,	,	PUNCT
cana-5405	235	17	u	u	NOUN
cana-5405	235	18	,	,	PUNCT
cana-5405	235	19	u	u	NOUN
cana-5405	235	20	,	,	PUNCT
cana-5405	235	21	휁	휁	NOUN
cana-5405	235	22	)	)	PUNCT
cana-5405	235	23	𝒪	𝒪	PROPN
cana-5405	235	24	(	(	PUNCT
cana-5405	235	25	ℑ𝜗0u	ℑ𝜗0u	PROPN
cana-5405	235	26	,	,	PUNCT
cana-5405	235	27	u	u	NOUN
cana-5405	235	28	,	,	PUNCT
cana-5405	235	29	휁	휁	NOUN
cana-5405	235	30	)	)	PUNCT
cana-5405	235	31	,	,	PUNCT
cana-5405	235	32	𝒪	𝒪	PROPN
cana-5405	235	33	(	(	PUNCT
cana-5405	235	34	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	235	35	,	,	PUNCT
cana-5405	235	36	u	u	NOUN
cana-5405	235	37	,	,	PUNCT
cana-5405	235	38	u	u	NOUN
cana-5405	235	39	,	,	PUNCT
cana-5405	235	40	휁	휁	NOUN
cana-5405	235	41	)	)	PUNCT
cana-5405	235	42	)	)	PUNCT
cana-5405	235	43	]	]	PUNCT
cana-5405	235	44	which	which	PRON
cana-5405	235	45	can	can	AUX
cana-5405	235	46	imply	imply	VERB
cana-5405	235	47	ℑ𝜗0	ℑ𝜗0	ADJ
cana-5405	235	48	=	=	SYM
cana-5405	235	49	u	u	NOUN
cana-5405	235	50	,	,	PUNCT
cana-5405	235	51	with	with	ADP
cana-5405	235	52	𝜑(s	𝜑(s	PROPN
cana-5405	235	53	)	)	PUNCT
cana-5405	235	54	>	>	X
cana-5405	235	55	s	s	PROPN
cana-5405	235	56	,	,	PUNCT
cana-5405	235	57	𝛹(s	𝛹(s	X
cana-5405	235	58	)	)	PUNCT
cana-5405	235	59	<	<	X
cana-5405	235	60	s	s	X
cana-5405	235	61	,	,	PUNCT
cana-5405	235	62	ω(s	ω(s	PROPN
cana-5405	235	63	)	)	PUNCT
cana-5405	235	64	<	<	X
cana-5405	235	65	s	s	X
cana-5405	235	66	for	for	ADP
cana-5405	235	67	0	0	NUM
cana-5405	235	68	<	<	X
cana-5405	235	69	s	s	X
cana-5405	235	70	<	<	X
cana-5405	235	71	1	1	NUM
cana-5405	235	72	as	as	ADP
cana-5405	235	73	ℑ	ℑ	PROPN
cana-5405	235	74	(	(	PUNCT
cana-5405	235	75	ξ	ξ	NOUN
cana-5405	235	76	)	)	PUNCT
cana-5405	235	77	⊆	⊆	NUM
cana-5405	235	78	ξ	ξ	PROPN
cana-5405	235	79	(	(	PUNCT
cana-5405	235	80	ξ	ξ	NOUN
cana-5405	235	81	)	)	PUNCT
cana-5405	235	82	,	,	PUNCT
cana-5405	235	83	there	there	PRON
cana-5405	235	84	exists	exist	VERB
cana-5405	235	85	𝜔0	𝜔0	NOUN
cana-5405	235	86	such	such	ADJ
cana-5405	235	87	that	that	SCONJ
cana-5405	235	88	ℑ	ℑ	NOUN
cana-5405	235	89	𝜗0	𝜗0	VERB
cana-5405	235	90	=	=	SYM
cana-5405	236	1	ξ	ξ	PRON
cana-5405	236	2	𝜔0	𝜔0	NOUN
cana-5405	236	3	communications	communication	NOUN
cana-5405	236	4	on	on	ADP
cana-5405	236	5	applied	apply	VERB
cana-5405	236	6	nonlinear	nonlinear	ADJ
cana-5405	236	7	analysis	analysis	NOUN
cana-5405	236	8	issn	issn	NOUN
cana-5405	236	9	:	:	PUNCT
cana-5405	236	10	1074	1074	NUM
cana-5405	236	11	-	-	PUNCT
cana-5405	236	12	133x	133x	NUM
cana-5405	236	13	vol	vol	VERB
cana-5405	236	14	32	32	NUM
cana-5405	236	15	no	no	NOUN
cana-5405	236	16	.	.	PUNCT
cana-5405	237	1	10s	10	NOUN
cana-5405	237	2	(	(	PUNCT
cana-5405	237	3	2025	2025	NUM
cana-5405	237	4	)	)	PUNCT
cana-5405	237	5	2159	2159	NUM
cana-5405	237	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	237	7	suppose	suppose	VERB
cana-5405	237	8	ξ	ξ	X
cana-5405	237	9	𝜔0	𝜔0	NOUN
cana-5405	237	10	≠	≠	PROPN
cana-5405	237	11	η	η	PROPN
cana-5405	237	12	𝜔0	𝜔0	PROPN
cana-5405	237	13	.	.	PUNCT
cana-5405	238	1	now	now	ADV
cana-5405	238	2	𝒬	𝒬	PROPN
cana-5405	238	3	(	(	PUNCT
cana-5405	238	4	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	238	5	,	,	PUNCT
cana-5405	238	6	,	,	PUNCT
cana-5405	238	7	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	238	8	,	,	PUNCT
cana-5405	238	9	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	238	10	,	,	PUNCT
cana-5405	238	11	휁	휁	NOUN
cana-5405	238	12	)	)	PUNCT
cana-5405	238	13	≥	≥	NOUN
cana-5405	238	14	φ	φ	NOUN
cana-5405	239	1	[	[	X
cana-5405	239	2	min	min	X
cana-5405	239	3	(	(	PUNCT
cana-5405	239	4	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	239	5	,	,	PUNCT
cana-5405	239	6	,	,	PUNCT
cana-5405	239	7	ξ	ξ	PROPN
cana-5405	239	8	𝜔0	𝜔0	NOUN
cana-5405	239	9	ξ	ξ	X
cana-5405	239	10	𝜔0	𝜔0	NOUN
cana-5405	239	11	,	,	PUNCT
cana-5405	239	12	휁	휁	NOUN
cana-5405	239	13	)	)	PUNCT
cana-5405	239	14	,	,	PUNCT
cana-5405	239	15	𝒬(fxn	𝒬(fxn	PROPN
cana-5405	239	16	,	,	PUNCT
cana-5405	239	17	ξ	ξ	X
cana-5405	239	18	𝜔0	𝜔0	PROPN
cana-5405	239	19	ξ	ξ	X
cana-5405	239	20	𝜔0	𝜔0	NOUN
cana-5405	239	21	,	,	PUNCT
cana-5405	239	22	휁	휁	NOUN
cana-5405	239	23	)	)	PUNCT
cana-5405	239	24	𝒬(ℌ𝜛n	𝒬(ℌ𝜛n	PROPN
cana-5405	239	25	,	,	PUNCT
cana-5405	239	26	,	,	PUNCT
cana-5405	239	27	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	239	28	,	,	PUNCT
cana-5405	239	29	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	239	30	,	,	PUNCT
cana-5405	239	31	휁	휁	NOUN
cana-5405	239	32	)	)	PUNCT
cana-5405	239	33	,	,	PUNCT
cana-5405	239	34	𝒬(ℑ𝜛n	𝒬(ℑ𝜛n	PROPN
cana-5405	239	35	,	,	PUNCT
cana-5405	239	36	,	,	PUNCT
cana-5405	239	37	ξ	ξ	X
cana-5405	239	38	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	239	39	,	,	PUNCT
cana-5405	239	40	ξ	ξ	PRON
cana-5405	239	41	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	239	42	,	,	PUNCT
cana-5405	239	43	휁	휁	NOUN
cana-5405	239	44	)	)	PUNCT
cana-5405	239	45	)	)	PUNCT
cana-5405	239	46	]	]	PUNCT
cana-5405	240	1	ℋ	ℋ	PROPN
cana-5405	240	2	(	(	PUNCT
cana-5405	240	3	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	240	4	,	,	PUNCT
cana-5405	240	5	,	,	PUNCT
cana-5405	240	6	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	240	7	,	,	PUNCT
cana-5405	240	8	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	240	9	,	,	PUNCT
cana-5405	240	10	휁	휁	NOUN
cana-5405	240	11	)	)	PUNCT
cana-5405	240	12	≤	≤	NOUN
cana-5405	240	13	ψ	ψ	X
cana-5405	240	14	[	[	X
cana-5405	240	15	max	max	X
cana-5405	240	16	(	(	PUNCT
cana-5405	240	17	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	240	18	,	,	PUNCT
cana-5405	240	19	,	,	PUNCT
cana-5405	240	20	ξ	ξ	PROPN
cana-5405	240	21	𝜔0	𝜔0	NOUN
cana-5405	240	22	ξ	ξ	X
cana-5405	240	23	𝜔0	𝜔0	NOUN
cana-5405	240	24	,	,	PUNCT
cana-5405	240	25	휁	휁	NOUN
cana-5405	240	26	)	)	PUNCT
cana-5405	240	27	,	,	PUNCT
cana-5405	240	28	ℋ(fxn	ℋ(fxn	NUM
cana-5405	240	29	,	,	PUNCT
cana-5405	240	30	ξ	ξ	X
cana-5405	240	31	𝜔0	𝜔0	PROPN
cana-5405	240	32	ξ	ξ	X
cana-5405	240	33	𝜔0	𝜔0	NOUN
cana-5405	240	34	,	,	PUNCT
cana-5405	240	35	휁	휁	NOUN
cana-5405	240	36	)	)	PUNCT
cana-5405	240	37	ℋ(ℌ𝜛n	ℋ(ℌ𝜛n	PROPN
cana-5405	240	38	,	,	PUNCT
cana-5405	240	39	,	,	PUNCT
cana-5405	240	40	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	240	41	,	,	PUNCT
cana-5405	240	42	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	240	43	,	,	PUNCT
cana-5405	240	44	휁	휁	NOUN
cana-5405	240	45	)	)	PUNCT
cana-5405	240	46	,	,	PUNCT
cana-5405	240	47	ℋ(ℑ𝜛n	ℋ(ℑ𝜛n	PROPN
cana-5405	240	48	,	,	PUNCT
cana-5405	240	49	,	,	PUNCT
cana-5405	240	50	ξ	ξ	X
cana-5405	240	51	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	240	52	,	,	PUNCT
cana-5405	240	53	ξ	ξ	PRON
cana-5405	240	54	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	240	55	,	,	PUNCT
cana-5405	240	56	휁	휁	NOUN
cana-5405	240	57	)	)	PUNCT
cana-5405	240	58	)	)	PUNCT
cana-5405	240	59	]	]	PUNCT
cana-5405	241	1	𝒪	𝒪	PROPN
cana-5405	241	2	(	(	PUNCT
cana-5405	241	3	ℑ𝜛n	ℑ𝜛n	PROPN
cana-5405	241	4	,	,	PUNCT
cana-5405	241	5	,	,	PUNCT
cana-5405	241	6	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	241	7	,	,	PUNCT
cana-5405	241	8	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	241	9	,	,	PUNCT
cana-5405	241	10	휁	휁	NOUN
cana-5405	241	11	)	)	PUNCT
cana-5405	241	12	≤	≤	NOUN
cana-5405	241	13	ω	ω	PROPN
cana-5405	242	1	[	[	X
cana-5405	242	2	max	max	X
cana-5405	242	3	(	(	PUNCT
cana-5405	242	4	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	242	5	,	,	PUNCT
cana-5405	242	6	,	,	PUNCT
cana-5405	242	7	ξ	ξ	PROPN
cana-5405	242	8	𝜔0	𝜔0	NOUN
cana-5405	242	9	ξ	ξ	X
cana-5405	242	10	𝜔0	𝜔0	NOUN
cana-5405	242	11	,	,	PUNCT
cana-5405	242	12	휁	휁	NOUN
cana-5405	242	13	)	)	PUNCT
cana-5405	242	14	,	,	PUNCT
cana-5405	242	15	𝒪(fxn	𝒪(fxn	PROPN
cana-5405	242	16	,	,	PUNCT
cana-5405	242	17	ξ	ξ	PROPN
cana-5405	242	18	𝜔0	𝜔0	PROPN
cana-5405	242	19	ξ	ξ	X
cana-5405	242	20	𝜔0	𝜔0	NOUN
cana-5405	242	21	,	,	PUNCT
cana-5405	242	22	휁	휁	NOUN
cana-5405	242	23	)	)	PUNCT
cana-5405	242	24	𝒪(ℌ𝜛n	𝒪(ℌ𝜛n	PROPN
cana-5405	242	25	,	,	PUNCT
cana-5405	242	26	,	,	PUNCT
cana-5405	242	27	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	242	28	,	,	PUNCT
cana-5405	242	29	ℶ𝜔𝑛	ℶ𝜔𝑛	PROPN
cana-5405	242	30	,	,	PUNCT
cana-5405	242	31	휁	휁	NOUN
cana-5405	242	32	)	)	PUNCT
cana-5405	242	33	,	,	PUNCT
cana-5405	242	34	𝒪(ℑ𝜛n	𝒪(ℑ𝜛n	PROPN
cana-5405	242	35	,	,	PUNCT
cana-5405	242	36	,	,	PUNCT
cana-5405	242	37	ξ	ξ	X
cana-5405	242	38	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	242	39	,	,	PUNCT
cana-5405	242	40	ξ	ξ	PRON
cana-5405	242	41	𝜔𝑛	𝜔𝑛	NOUN
cana-5405	242	42	,	,	PUNCT
cana-5405	242	43	휁	휁	NOUN
cana-5405	242	44	)	)	PUNCT
cana-5405	242	45	)	)	PUNCT
cana-5405	242	46	]	]	PUNCT
cana-5405	243	1	if	if	SCONJ
cana-5405	243	2	n	n	PROPN
cana-5405	243	3	→	→	SYM
cana-5405	243	4	∞	∞	PROPN
cana-5405	243	5	,	,	PUNCT
cana-5405	243	6	𝒬	𝒬	PROPN
cana-5405	243	7	(	(	PUNCT
cana-5405	243	8	u	u	PROPN
cana-5405	243	9	,	,	PUNCT
cana-5405	243	10	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	243	11	,	,	PUNCT
cana-5405	243	12	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	243	13	,	,	PUNCT
cana-5405	243	14	휁	휁	NOUN
cana-5405	243	15	)	)	PUNCT
cana-5405	243	16	≥	≥	NOUN
cana-5405	243	17	φ	φ	NOUN
cana-5405	244	1	[	[	X
cana-5405	244	2	min	min	X
cana-5405	244	3	(	(	PUNCT
cana-5405	244	4	𝒬	𝒬	PROPN
cana-5405	244	5	(	(	PUNCT
cana-5405	244	6	u	u	PROPN
cana-5405	244	7	,	,	PUNCT
cana-5405	244	8	u	u	NOUN
cana-5405	244	9	,	,	PUNCT
cana-5405	244	10	u	u	NOUN
cana-5405	244	11	,	,	PUNCT
cana-5405	244	12	휁	휁	NOUN
cana-5405	244	13	)	)	PUNCT
cana-5405	244	14	,	,	PUNCT
cana-5405	244	15	𝒬	𝒬	PROPN
cana-5405	244	16	(	(	PUNCT
cana-5405	244	17	u	u	PROPN
cana-5405	244	18	,	,	PUNCT
cana-5405	244	19	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	244	20	,	,	PUNCT
cana-5405	244	21	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	244	22	,	,	PUNCT
cana-5405	244	23	휁	휁	NOUN
cana-5405	244	24	)	)	PUNCT
cana-5405	244	25	𝒬	𝒬	PROPN
cana-5405	244	26	(	(	PUNCT
cana-5405	244	27	u	u	PROPN
cana-5405	244	28	,	,	PUNCT
cana-5405	244	29	u	u	NOUN
cana-5405	244	30	,	,	PUNCT
cana-5405	244	31	u	u	NOUN
cana-5405	244	32	,	,	PUNCT
cana-5405	244	33	휁	휁	NOUN
cana-5405	244	34	)	)	PUNCT
cana-5405	244	35	,	,	PUNCT
cana-5405	244	36	𝒬	𝒬	PROPN
cana-5405	244	37	(	(	PUNCT
cana-5405	244	38	u	u	PROPN
cana-5405	244	39	,	,	PUNCT
cana-5405	244	40	u	u	NOUN
cana-5405	244	41	,	,	PUNCT
cana-5405	244	42	u	u	NOUN
cana-5405	244	43	,	,	PUNCT
cana-5405	244	44	휁	휁	NOUN
cana-5405	244	45	)	)	PUNCT
cana-5405	244	46	)	)	PUNCT
cana-5405	244	47	]	]	PUNCT
cana-5405	245	1	ℋ	ℋ	PROPN
cana-5405	245	2	(	(	PUNCT
cana-5405	245	3	u	u	PROPN
cana-5405	245	4	,	,	PUNCT
cana-5405	245	5	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	245	6	,	,	PUNCT
cana-5405	245	7	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	245	8	,	,	PUNCT
cana-5405	245	9	휁	휁	NOUN
cana-5405	245	10	)	)	PUNCT
cana-5405	245	11	≤	≤	NOUN
cana-5405	245	12	ψ	ψ	X
cana-5405	245	13	[	[	X
cana-5405	245	14	max	max	X
cana-5405	245	15	(	(	PUNCT
cana-5405	245	16	ℋ	ℋ	PROPN
cana-5405	245	17	(	(	PUNCT
cana-5405	245	18	u	u	PROPN
cana-5405	245	19	,	,	PUNCT
cana-5405	245	20	u	u	NOUN
cana-5405	245	21	,	,	PUNCT
cana-5405	245	22	u	u	NOUN
cana-5405	245	23	,	,	PUNCT
cana-5405	245	24	휁	휁	NOUN
cana-5405	245	25	)	)	PUNCT
cana-5405	245	26	,	,	PUNCT
cana-5405	245	27	ℋ	ℋ	PROPN
cana-5405	245	28	(	(	PUNCT
cana-5405	245	29	u	u	PROPN
cana-5405	245	30	,	,	PUNCT
cana-5405	245	31	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	245	32	,	,	PUNCT
cana-5405	245	33	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	245	34	,	,	PUNCT
cana-5405	245	35	휁	휁	NOUN
cana-5405	245	36	)	)	PUNCT
cana-5405	245	37	ℋ	ℋ	PROPN
cana-5405	245	38	(	(	PUNCT
cana-5405	245	39	u	u	PROPN
cana-5405	245	40	,	,	PUNCT
cana-5405	245	41	u	u	NOUN
cana-5405	245	42	,	,	PUNCT
cana-5405	245	43	u	u	NOUN
cana-5405	245	44	,	,	PUNCT
cana-5405	245	45	휁	휁	NOUN
cana-5405	245	46	)	)	PUNCT
cana-5405	245	47	,	,	PUNCT
cana-5405	245	48	ℋ	ℋ	PROPN
cana-5405	245	49	(	(	PUNCT
cana-5405	245	50	u	u	PROPN
cana-5405	245	51	,	,	PUNCT
cana-5405	245	52	u	u	NOUN
cana-5405	245	53	,	,	PUNCT
cana-5405	245	54	u	u	NOUN
cana-5405	245	55	,	,	PUNCT
cana-5405	245	56	휁	휁	NOUN
cana-5405	245	57	)	)	PUNCT
cana-5405	245	58	)	)	PUNCT
cana-5405	245	59	]	]	PUNCT
cana-5405	246	1	𝒪	𝒪	PROPN
cana-5405	246	2	(	(	PUNCT
cana-5405	246	3	u	u	NOUN
cana-5405	246	4	,	,	PUNCT
cana-5405	246	5	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	246	6	,	,	PUNCT
cana-5405	246	7	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	246	8	,	,	PUNCT
cana-5405	246	9	휁	휁	NOUN
cana-5405	246	10	)	)	PUNCT
cana-5405	246	11	≤	≤	NOUN
cana-5405	246	12	ω	ω	PROPN
cana-5405	247	1	[	[	X
cana-5405	247	2	max	max	X
cana-5405	247	3	(	(	PUNCT
cana-5405	247	4	𝒪	𝒪	PROPN
cana-5405	247	5	(	(	PUNCT
cana-5405	247	6	u	u	NOUN
cana-5405	247	7	,	,	PUNCT
cana-5405	247	8	u	u	NOUN
cana-5405	247	9	,	,	PUNCT
cana-5405	247	10	u	u	NOUN
cana-5405	247	11	,	,	PUNCT
cana-5405	247	12	휁	휁	NOUN
cana-5405	247	13	)	)	PUNCT
cana-5405	247	14	,	,	PUNCT
cana-5405	247	15	𝒪	𝒪	PROPN
cana-5405	247	16	(	(	PUNCT
cana-5405	247	17	u	u	NOUN
cana-5405	247	18	,	,	PUNCT
cana-5405	247	19	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	247	20	,	,	PUNCT
cana-5405	247	21	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	247	22	,	,	PUNCT
cana-5405	247	23	휁	휁	NOUN
cana-5405	247	24	)	)	PUNCT
cana-5405	247	25	𝒪	𝒪	PROPN
cana-5405	247	26	(	(	PUNCT
cana-5405	247	27	u	u	NOUN
cana-5405	247	28	,	,	PUNCT
cana-5405	247	29	u	u	NOUN
cana-5405	247	30	,	,	PUNCT
cana-5405	247	31	u	u	NOUN
cana-5405	247	32	,	,	PUNCT
cana-5405	247	33	휁	휁	NOUN
cana-5405	247	34	)	)	PUNCT
cana-5405	247	35	,	,	PUNCT
cana-5405	247	36	𝒪	𝒪	PROPN
cana-5405	247	37	(	(	PUNCT
cana-5405	247	38	u	u	NOUN
cana-5405	247	39	,	,	PUNCT
cana-5405	247	40	u	u	NOUN
cana-5405	247	41	,	,	PUNCT
cana-5405	247	42	u	u	NOUN
cana-5405	247	43	,	,	PUNCT
cana-5405	247	44	휁	휁	NOUN
cana-5405	247	45	)	)	PUNCT
cana-5405	247	46	)	)	PUNCT
cana-5405	247	47	]	]	PUNCT
cana-5405	248	1	by	by	ADP
cana-5405	248	2	the	the	DET
cana-5405	248	3	continuity	continuity	NOUN
cana-5405	248	4	of	of	ADP
cana-5405	248	5	𝒬	𝒬	PROPN
cana-5405	248	6	,	,	PUNCT
cana-5405	248	7	ℋ	ℋ	PROPN
cana-5405	248	8	,	,	PUNCT
cana-5405	248	9	𝒪	𝒪	PROPN
cana-5405	248	10	and	and	CCONJ
cana-5405	248	11	φ	φ	NUM
cana-5405	248	12	,	,	PUNCT
cana-5405	248	13	ψ	ψ	PROPN
cana-5405	248	14	,	,	PUNCT
cana-5405	248	15	ω	ω	PROPN
cana-5405	248	16	hence	hence	ADV
cana-5405	248	17	𝒬(u	𝒬(u	SYM
cana-5405	248	18	,	,	PUNCT
cana-5405	248	19	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	248	20	,	,	PUNCT
cana-5405	248	21	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	248	22	,	,	PUNCT
cana-5405	248	23	휁	휁	NOUN
cana-5405	248	24	)	)	PUNCT
cana-5405	248	25	≥	≥	NOUN
cana-5405	248	26	𝜑	𝜑	NOUN
cana-5405	248	27	(	(	PUNCT
cana-5405	248	28	𝒬	𝒬	PROPN
cana-5405	248	29	(	(	PUNCT
cana-5405	248	30	u	u	PROPN
cana-5405	248	31	,	,	PUNCT
cana-5405	248	32	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	248	33	,	,	PUNCT
cana-5405	248	34	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	248	35	,	,	PUNCT
cana-5405	248	36	휁	휁	NOUN
cana-5405	248	37	)	)	PUNCT
cana-5405	248	38	)	)	PUNCT
cana-5405	248	39	>	>	PUNCT
cana-5405	249	1	𝒬	𝒬	PROPN
cana-5405	249	2	(	(	PUNCT
cana-5405	249	3	u	u	PROPN
cana-5405	249	4	,	,	PUNCT
cana-5405	249	5	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	6	,	,	PUNCT
cana-5405	249	7	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	8	,	,	PUNCT
cana-5405	249	9	휁	휁	NOUN
cana-5405	249	10	)	)	PUNCT
cana-5405	249	11	ℋ(u	ℋ(u	NOUN
cana-5405	249	12	,	,	PUNCT
cana-5405	249	13	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	14	,	,	PUNCT
cana-5405	249	15	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	16	,	,	PUNCT
cana-5405	249	17	휁	휁	NOUN
cana-5405	249	18	)	)	PUNCT
cana-5405	249	19	≤	≤	NOUN
cana-5405	249	20	𝛹	𝛹	PROPN
cana-5405	249	21	(	(	PUNCT
cana-5405	249	22	ℋ	ℋ	PROPN
cana-5405	249	23	(	(	PUNCT
cana-5405	249	24	u	u	PROPN
cana-5405	249	25	,	,	PUNCT
cana-5405	249	26	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	27	,	,	PUNCT
cana-5405	249	28	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	249	29	,	,	PUNCT
cana-5405	249	30	휁	휁	NOUN
cana-5405	249	31	)	)	PUNCT
cana-5405	249	32	)	)	PUNCT
cana-5405	250	1	<	<	X
cana-5405	250	2	ℋ	ℋ	PROPN
cana-5405	250	3	(	(	PUNCT
cana-5405	250	4	u	u	PROPN
cana-5405	250	5	,	,	PUNCT
cana-5405	250	6	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	7	,	,	PUNCT
cana-5405	250	8	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	9	,	,	PUNCT
cana-5405	250	10	휁	휁	NOUN
cana-5405	250	11	)	)	PUNCT
cana-5405	250	12	𝒪(u	𝒪(u	NOUN
cana-5405	250	13	,	,	PUNCT
cana-5405	250	14	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	15	,	,	PUNCT
cana-5405	250	16	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	17	,	,	PUNCT
cana-5405	250	18	휁	휁	NOUN
cana-5405	250	19	)	)	PUNCT
cana-5405	250	20	≤	≤	NOUN
cana-5405	250	21	ω	ω	PROPN
cana-5405	250	22	(	(	PUNCT
cana-5405	250	23	𝒪	𝒪	PROPN
cana-5405	250	24	(	(	PUNCT
cana-5405	250	25	u	u	NOUN
cana-5405	250	26	,	,	PUNCT
cana-5405	250	27	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	28	,	,	PUNCT
cana-5405	250	29	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	250	30	,	,	PUNCT
cana-5405	250	31	휁	휁	NOUN
cana-5405	250	32	)	)	PUNCT
cana-5405	250	33	)	)	PUNCT
cana-5405	251	1	<	<	X
cana-5405	251	2	𝒪	𝒪	PROPN
cana-5405	251	3	(	(	PUNCT
cana-5405	251	4	u	u	NOUN
cana-5405	251	5	,	,	PUNCT
cana-5405	251	6	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	251	7	,	,	PUNCT
cana-5405	251	8	ℶ𝜔0	ℶ𝜔0	PROPN
cana-5405	251	9	,	,	PUNCT
cana-5405	251	10	휁	휁	NOUN
cana-5405	251	11	)	)	PUNCT
cana-5405	251	12	is	be	AUX
cana-5405	251	13	a	a	DET
cana-5405	251	14	contradiction	contradiction	NOUN
cana-5405	251	15	.	.	PUNCT
cana-5405	252	1	so	so	ADV
cana-5405	252	2	ℑ	ℑ	NOUN
cana-5405	252	3	𝜗0	𝜗0	VERB
cana-5405	252	4	=	=	SYM
cana-5405	252	5	ξ	ξ	X
cana-5405	252	6	𝜔0	𝜔0	NOUN
cana-5405	252	7	now	now	ADV
cana-5405	252	8	by	by	ADP
cana-5405	252	9	(	(	PUNCT
cana-5405	252	10	ℑ	ℑ	PROPN
cana-5405	252	11	,	,	PUNCT
cana-5405	252	12	ξ	ξ	NOUN
cana-5405	252	13	)	)	PUNCT
cana-5405	252	14	,	,	PUNCT
cana-5405	252	15	(	(	PUNCT
cana-5405	252	16	ℶ,η	ℶ,η	NOUN
cana-5405	252	17	)	)	PUNCT
cana-5405	252	18	and	and	CCONJ
cana-5405	252	19	(	(	PUNCT
cana-5405	252	20	ℱ	ℱ	PROPN
cana-5405	252	21	,	,	PUNCT
cana-5405	252	22	ℌ	ℌ	PROPN
cana-5405	252	23	)	)	PUNCT
cana-5405	252	24	are	be	AUX
cana-5405	252	25	weakly	weakly	ADV
cana-5405	252	26	compatible	compatible	ADJ
cana-5405	252	27	,	,	PUNCT
cana-5405	252	28	we	we	PRON
cana-5405	252	29	can	can	AUX
cana-5405	252	30	get	get	VERB
cana-5405	252	31	,	,	PUNCT
cana-5405	252	32	ℑℑ	ℑℑ	PROPN
cana-5405	252	33	𝜗0	𝜗0	VERB
cana-5405	252	34	=	=	PUNCT
cana-5405	253	1	ℑη	ℑη	PROPN
cana-5405	253	2	𝜗0	𝜗0	NOUN
cana-5405	253	3	=	=	NOUN
cana-5405	253	4	ηℑ	ηℑ	NOUN
cana-5405	253	5	𝜗0	𝜗0	NOUN
cana-5405	253	6	=	=	SYM
cana-5405	253	7	ηη𝜗0	ηη𝜗0	PROPN
cana-5405	253	8	and	and	CCONJ
cana-5405	253	9	ℶℶ𝜔0	ℶℶ𝜔0	NOUN
cana-5405	253	10	=	=	PUNCT
cana-5405	254	1	ℶη	ℶη	PRON
cana-5405	254	2	𝜔0	𝜔0	NOUN
cana-5405	254	3	=	=	SYM
cana-5405	254	4	η	η	PROPN
cana-5405	254	5	ℶ𝜔0=	ℶ𝜔0=	PROPN
cana-5405	254	6	η	η	PROPN
cana-5405	254	7	η	η	PROPN
cana-5405	254	8	𝜔0	𝜔0	PROPN
cana-5405	254	9	then	then	ADV
cana-5405	254	10	,	,	PUNCT
cana-5405	254	11	lim	lim	PROPN
cana-5405	254	12	𝑛→∞	𝑛→∞	NUM
cana-5405	254	13	𝒬	𝒬	PROPN
cana-5405	254	14	(	(	PUNCT
cana-5405	254	15	ℑu	ℑu	PROPN
cana-5405	254	16	,	,	PUNCT
cana-5405	254	17	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	254	18	,	,	PUNCT
cana-5405	254	19	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	254	20	,	,	PUNCT
cana-5405	254	21	휁	휁	NOUN
cana-5405	254	22	)	)	PUNCT
cana-5405	254	23	≥	≥	NOUN
cana-5405	254	24	𝜑	𝜑	NOUN
cana-5405	255	1	[	[	X
cana-5405	255	2	min	min	X
cana-5405	255	3	(	(	PUNCT
cana-5405	255	4	𝒬(ℌu	𝒬(ℌu	PROPN
cana-5405	255	5	,	,	PUNCT
cana-5405	255	6	η𝜔𝑛	η𝜔𝑛	PROPN
cana-5405	255	7	,	,	PUNCT
cana-5405	255	8	η𝜔𝑛+1	η𝜔𝑛+1	PROPN
cana-5405	255	9	,	,	PUNCT
cana-5405	255	10	휁	휁	NOUN
cana-5405	255	11	)	)	PUNCT
cana-5405	255	12	,	,	PUNCT
cana-5405	255	13	𝒬(ℑu	𝒬(ℑu	NOUN
cana-5405	255	14	,	,	PUNCT
cana-5405	255	15	ηyn	ηyn	NOUN
cana-5405	255	16	,	,	PUNCT
cana-5405	255	17	ηyn	ηyn	NOUN
cana-5405	255	18	+1	+1	PROPN
cana-5405	255	19	,	,	PUNCT
cana-5405	255	20	휁	휁	NOUN
cana-5405	255	21	)	)	PUNCT
cana-5405	255	22	𝒬(ℌu	𝒬(ℌu	NUM
cana-5405	255	23	,	,	PUNCT
cana-5405	255	24	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	255	25	,	,	PUNCT
cana-5405	255	26	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	255	27	,	,	PUNCT
cana-5405	255	28	휁	휁	NOUN
cana-5405	255	29	)	)	PUNCT
cana-5405	255	30	,	,	PUNCT
cana-5405	255	31	𝒬(ℑu	𝒬(ℑu	NOUN
cana-5405	255	32	,	,	PUNCT
cana-5405	255	33	ℌu	ℌu	NOUN
cana-5405	255	34	,	,	PUNCT
cana-5405	255	35	ℌu	ℌu	NOUN
cana-5405	255	36	,	,	PUNCT
cana-5405	255	37	t	t	PROPN
cana-5405	255	38	)	)	PUNCT
cana-5405	255	39	)	)	PUNCT
cana-5405	255	40	]	]	PUNCT
cana-5405	256	1	lim	lim	NOUN
cana-5405	256	2	𝑛→∞	𝑛→∞	NUM
cana-5405	256	3	ℋ	ℋ	PROPN
cana-5405	256	4	(	(	PUNCT
cana-5405	256	5	ℑu	ℑu	PROPN
cana-5405	256	6	,	,	PUNCT
cana-5405	256	7	ℶ𝜔𝑛	ℶ𝜔𝑛	NOUN
cana-5405	256	8	,	,	PUNCT
cana-5405	256	9	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	256	10	,	,	PUNCT
cana-5405	256	11	휁	휁	NOUN
cana-5405	256	12	)	)	PUNCT
cana-5405	256	13	≤	≤	NOUN
cana-5405	256	14	𝛹	𝛹	PROPN
cana-5405	257	1	[	[	X
cana-5405	257	2	max	max	PROPN
cana-5405	257	3	(	(	PUNCT
cana-5405	257	4	ℋ(ℌu	ℋ(ℌu	PROPN
cana-5405	257	5	,	,	PUNCT
cana-5405	257	6	η𝜔𝑛	η𝜔𝑛	PROPN
cana-5405	257	7	,	,	PUNCT
cana-5405	257	8	η𝜔𝑛+1	η𝜔𝑛+1	PROPN
cana-5405	257	9	,	,	PUNCT
cana-5405	257	10	휁	휁	NOUN
cana-5405	257	11	)	)	PUNCT
cana-5405	257	12	,	,	PUNCT
cana-5405	257	13	ℋ(ℑu	ℋ(ℑu	NUM
cana-5405	257	14	,	,	PUNCT
cana-5405	257	15	ηyn	ηyn	NOUN
cana-5405	257	16	,	,	PUNCT
cana-5405	257	17	ηyn	ηyn	NOUN
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cana-5405	258	8	,	,	PUNCT
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cana-5405	259	5	,	,	PUNCT
cana-5405	259	6	η𝜔𝑛	η𝜔𝑛	PROPN
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cana-5405	259	14	,	,	PUNCT
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cana-5405	259	20	휁	휁	NOUN
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cana-5405	259	25	,	,	PUNCT
cana-5405	259	26	ℶ𝜔𝑛+1	ℶ𝜔𝑛+1	NOUN
cana-5405	259	27	,	,	PUNCT
cana-5405	259	28	휁	휁	NOUN
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cana-5405	259	30	,	,	PUNCT
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cana-5405	259	32	,	,	PUNCT
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cana-5405	259	39	)	)	PUNCT
cana-5405	259	40	]	]	PUNCT
cana-5405	260	1	⇒	⇒	VERB
cana-5405	260	2	ℑu	ℑu	PROPN
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cana-5405	261	2	we	we	PRON
cana-5405	261	3	can	can	AUX
cana-5405	261	4	get	get	VERB
cana-5405	261	5	ηu	ηu	ADJ
cana-5405	261	6	=	=	PUNCT
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cana-5405	261	8	=	=	SYM
cana-5405	261	9	u	u	PROPN
cana-5405	261	10	communications	communication	NOUN
cana-5405	261	11	on	on	ADP
cana-5405	261	12	applied	apply	VERB
cana-5405	261	13	nonlinear	nonlinear	ADJ
cana-5405	261	14	analysis	analysis	NOUN
cana-5405	261	15	issn	issn	NOUN
cana-5405	261	16	:	:	PUNCT
cana-5405	261	17	1074	1074	NUM
cana-5405	261	18	-	-	PUNCT
cana-5405	261	19	133x	133x	NUM
cana-5405	261	20	vol	vol	VERB
cana-5405	261	21	32	32	NUM
cana-5405	261	22	no	no	NOUN
cana-5405	261	23	.	.	PUNCT
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cana-5405	262	2	(	(	PUNCT
cana-5405	262	3	2025	2025	NUM
cana-5405	262	4	)	)	PUNCT
cana-5405	262	5	2160	2160	NUM
cana-5405	262	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	262	7	uniqueness	uniqueness	NOUN
cana-5405	262	8	:	:	PUNCT
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cana-5405	262	10	v	v	PART
cana-5405	262	11	be	be	AUX
cana-5405	262	12	another	another	DET
cana-5405	262	13	common	common	ADJ
cana-5405	262	14	fixed	fix	VERB
cana-5405	262	15	point	point	NOUN
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cana-5405	262	17	ℑ	ℑ	PROPN
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cana-5405	262	19	ℶ	ℶ	PROPN
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cana-5405	263	2	𝒬	𝒬	PROPN
cana-5405	263	3	(	(	PUNCT
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cana-5405	263	5	,	,	PUNCT
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cana-5405	263	9	,	,	PUNCT
cana-5405	263	10	휁	휁	NOUN
cana-5405	263	11	)	)	PUNCT
cana-5405	263	12	=	=	SYM
cana-5405	263	13	𝒬	𝒬	PROPN
cana-5405	263	14	(	(	PUNCT
cana-5405	263	15	ℑv	ℑv	PROPN
cana-5405	263	16	,	,	PUNCT
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cana-5405	263	21	휁	휁	NOUN
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cana-5405	263	24	φ	φ	NOUN
cana-5405	264	1	[	[	X
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cana-5405	264	3	(	(	PUNCT
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cana-5405	264	12	,	,	PUNCT
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cana-5405	264	14	(	(	PUNCT
cana-5405	264	15	ℑv	ℑv	PROPN
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cana-5405	264	20	,	,	PUNCT
cana-5405	264	21	휁	휁	NOUN
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cana-5405	264	24	(	(	PUNCT
cana-5405	264	25	ℌv	ℌv	PROPN
cana-5405	264	26	,	,	PUNCT
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cana-5405	264	31	휁	휁	NOUN
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cana-5405	264	33	,	,	PUNCT
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cana-5405	264	36	ℌv	ℌv	PROPN
cana-5405	264	37	,	,	PUNCT
cana-5405	264	38	ℌv	ℌv	PROPN
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cana-5405	264	42	)	)	PUNCT
cana-5405	264	43	]	]	X
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cana-5405	264	45	(	(	PUNCT
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cana-5405	264	52	휁	휁	NOUN
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cana-5405	264	54	=	=	SYM
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cana-5405	264	56	(	(	PUNCT
cana-5405	264	57	ℑv	ℑv	PROPN
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cana-5405	264	60	,	,	PUNCT
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cana-5405	264	62	,	,	PUNCT
cana-5405	264	63	휁	휁	NOUN
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cana-5405	265	1	ψ	ψ	X
cana-5405	266	1	[	[	X
cana-5405	266	2	max	max	X
cana-5405	266	3	(	(	PUNCT
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cana-5405	266	5	,	,	PUNCT
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cana-5405	266	7	,	,	PUNCT
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cana-5405	266	9	,	,	PUNCT
cana-5405	266	10	휁	휁	NOUN
cana-5405	266	11	)	)	PUNCT
cana-5405	266	12	,	,	PUNCT
cana-5405	266	13	ℋ	ℋ	PROPN
cana-5405	266	14	(	(	PUNCT
cana-5405	266	15	ℑv	ℑv	PROPN
cana-5405	266	16	,	,	PUNCT
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cana-5405	266	20	,	,	PUNCT
cana-5405	266	21	휁	휁	NOUN
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cana-5405	266	23	ℋ	ℋ	PROPN
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cana-5405	266	39	,	,	PUNCT
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cana-5405	266	42	)	)	PUNCT
cana-5405	266	43	]	]	PUNCT
cana-5405	266	44	𝒪	𝒪	PROPN
cana-5405	266	45	(	(	PUNCT
cana-5405	266	46	v	v	NOUN
cana-5405	266	47	,	,	PUNCT
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cana-5405	266	52	휁	휁	NOUN
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cana-5405	266	54	=	=	SYM
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cana-5405	266	56	(	(	PUNCT
cana-5405	266	57	ℑv	ℑv	PROPN
cana-5405	266	58	,	,	PUNCT
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cana-5405	266	60	,	,	PUNCT
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cana-5405	266	65	≤	≤	NOUN
cana-5405	266	66	ω	ω	PROPN
cana-5405	267	1	[	[	X
cana-5405	267	2	max	max	X
cana-5405	267	3	(	(	PUNCT
cana-5405	267	4	𝒪(ℌv	𝒪(ℌv	PROPN
cana-5405	267	5	,	,	PUNCT
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cana-5405	267	7	,	,	PUNCT
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cana-5405	267	11	)	)	PUNCT
cana-5405	267	12	,	,	PUNCT
cana-5405	267	13	𝒪	𝒪	PROPN
cana-5405	267	14	(	(	PUNCT
cana-5405	267	15	ℑv	ℑv	PROPN
cana-5405	267	16	,	,	PUNCT
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cana-5405	267	18	,	,	PUNCT
cana-5405	267	19	ηu	ηu	NOUN
cana-5405	267	20	,	,	PUNCT
cana-5405	267	21	휁	휁	NOUN
cana-5405	267	22	)	)	PUNCT
cana-5405	267	23	𝒪	𝒪	PROPN
cana-5405	267	24	(	(	PUNCT
cana-5405	267	25	ℌv	ℌv	PROPN
cana-5405	267	26	,	,	PUNCT
cana-5405	267	27	gu	gu	NOUN
cana-5405	267	28	,	,	PUNCT
cana-5405	267	29	gu	gu	NOUN
cana-5405	267	30	,	,	PUNCT
cana-5405	267	31	휁	휁	NOUN
cana-5405	267	32	)	)	PUNCT
cana-5405	267	33	,	,	PUNCT
cana-5405	267	34	𝒪(ℑv	𝒪(ℑv	NOUN
cana-5405	267	35	,	,	PUNCT
cana-5405	267	36	ℌv	ℌv	PROPN
cana-5405	267	37	,	,	PUNCT
cana-5405	267	38	ℌv	ℌv	PROPN
cana-5405	267	39	,	,	PUNCT
cana-5405	267	40	휁	휁	NOUN
cana-5405	267	41	)	)	PUNCT
cana-5405	267	42	)	)	PUNCT
cana-5405	267	43	]	]	PUNCT
cana-5405	267	44	it	it	PRON
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cana-5405	267	46	v=	v=	NOUN
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cana-5405	267	49	ℑ	ℑ	PROPN
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cana-5405	267	51	ℶ	ℶ	PROPN
cana-5405	267	52	,	,	PUNCT
cana-5405	267	53	ℱ	ℱ	PROPN
cana-5405	267	54	,	,	PUNCT
cana-5405	267	55	ℌ	ℌ	PROPN
cana-5405	267	56	,	,	PUNCT
cana-5405	267	57	η	η	PROPN
cana-5405	267	58	and	and	CCONJ
cana-5405	267	59	ξ	ξ	PROPN
cana-5405	267	60	have	have	VERB
cana-5405	267	61	a	a	DET
cana-5405	267	62	unique	unique	ADJ
cana-5405	267	63	common	common	ADJ
cana-5405	267	64	fixed	fix	VERB
cana-5405	267	65	point	point	NOUN
cana-5405	267	66	in	in	ADP
cana-5405	267	67	ξ	ξ	PROPN
cana-5405	267	68	.	.	PUNCT
cana-5405	268	1	coclusion	coclusion	NOUN
cana-5405	268	2	:	:	PUNCT
cana-5405	268	3	in	in	ADP
cana-5405	268	4	conclusion	conclusion	NOUN
cana-5405	268	5	,	,	PUNCT
cana-5405	268	6	this	this	DET
cana-5405	268	7	paper	paper	NOUN
cana-5405	268	8	has	have	AUX
cana-5405	268	9	explored	explore	VERB
cana-5405	268	10	the	the	DET
cana-5405	268	11	concept	concept	NOUN
cana-5405	268	12	of	of	ADP
cana-5405	268	13	fixed	fix	VERB
cana-5405	268	14	point	point	NOUN
cana-5405	268	15	theorems	theorem	NOUN
cana-5405	268	16	within	within	ADP
cana-5405	268	17	the	the	DET
cana-5405	268	18	framework	framework	NOUN
cana-5405	268	19	of	of	ADP
cana-5405	268	20	common	common	ADJ
cana-5405	268	21	neutrosophic	neutrosophic	ADJ
cana-5405	268	22	metric	metric	ADJ
cana-5405	268	23	spaces	space	NOUN
cana-5405	268	24	,	,	PUNCT
cana-5405	268	25	offering	offer	VERB
cana-5405	268	26	new	new	ADJ
cana-5405	268	27	insights	insight	NOUN
cana-5405	268	28	and	and	CCONJ
cana-5405	268	29	extending	extend	VERB
cana-5405	268	30	existing	exist	VERB
cana-5405	268	31	results	result	NOUN
cana-5405	268	32	in	in	ADP
cana-5405	268	33	the	the	DET
cana-5405	268	34	field	field	NOUN
cana-5405	268	35	.	.	PUNCT
cana-5405	269	1	by	by	ADP
cana-5405	269	2	integrating	integrate	VERB
cana-5405	269	3	neutrosophic	neutrosophic	ADJ
cana-5405	269	4	logic	logic	NOUN
cana-5405	269	5	into	into	ADP
cana-5405	269	6	metric	metric	ADJ
cana-5405	269	7	space	space	NOUN
cana-5405	269	8	theory	theory	NOUN
cana-5405	269	9	,	,	PUNCT
cana-5405	269	10	we	we	PRON
cana-5405	269	11	have	have	AUX
cana-5405	269	12	developed	develop	VERB
cana-5405	269	13	several	several	ADJ
cana-5405	269	14	fixed	fix	VERB
cana-5405	269	15	point	point	NOUN
cana-5405	269	16	theorems	theorem	NOUN
cana-5405	269	17	that	that	PRON
cana-5405	269	18	address	address	VERB
cana-5405	269	19	both	both	CCONJ
cana-5405	269	20	classical	classical	ADJ
cana-5405	269	21	and	and	CCONJ
cana-5405	269	22	novel	novel	ADJ
cana-5405	269	23	types	type	NOUN
cana-5405	269	24	of	of	ADP
cana-5405	269	25	metrics	metric	NOUN
cana-5405	269	26	,	,	PUNCT
cana-5405	269	27	accommodating	accommodate	VERB
cana-5405	269	28	the	the	DET
cana-5405	269	29	inherent	inherent	ADJ
cana-5405	269	30	uncertainty	uncertainty	NOUN
cana-5405	269	31	and	and	CCONJ
cana-5405	269	32	indeterminacy	indeterminacy	NOUN
cana-5405	269	33	present	present	ADJ
cana-5405	269	34	in	in	ADP
cana-5405	269	35	neutrosophic	neutrosophic	ADJ
cana-5405	269	36	contexts	contexts	NOUN
cana-5405	269	37	.	.	PUNCT
cana-5405	270	1	references	reference	NOUN
cana-5405	270	2	[	[	X
cana-5405	270	3	1	1	NUM
cana-5405	270	4	]	]	PUNCT
cana-5405	270	5	attanssov.k	attanssov.k	PROPN
cana-5405	270	6	,	,	PUNCT
cana-5405	270	7	intuitionistic	intuitionistic	ADJ
cana-5405	270	8	fuzzy	fuzzy	ADJ
cana-5405	270	9	sets	set	NOUN
cana-5405	270	10	,	,	PUNCT
cana-5405	270	11	vii	vii	PROPN
cana-5405	270	12	itkr	itkr	PROPN
cana-5405	270	13	’s	’s	PART
cana-5405	270	14	session	session	NOUN
cana-5405	270	15	,	,	PUNCT
cana-5405	270	16	sofia	sofia	PROPN
cana-5405	270	17	,	,	PUNCT
cana-5405	270	18	june	june	PROPN
cana-5405	270	19	1983	1983	NUM
cana-5405	270	20	(	(	PUNCT
cana-5405	270	21	deposed	depose	VERB
cana-5405	270	22	in	in	ADP
cana-5405	270	23	central	central	ADJ
cana-5405	270	24	sciencetechnical	sciencetechnical	ADJ
cana-5405	270	25	library	library	NOUN
cana-5405	270	26	of	of	ADP
cana-5405	270	27	bulg	bulg	PROPN
cana-5405	270	28	.	.	PUNCT
cana-5405	271	1	academy	academy	PROPN
cana-5405	271	2	of	of	ADP
cana-5405	271	3	science	science	PROPN
cana-5405	271	4	,	,	PUNCT
cana-5405	271	5	1697/84	1697/84	NUM
cana-5405	271	6	)	)	PUNCT
cana-5405	271	7	(	(	PUNCT
cana-5405	271	8	in	in	ADP
cana-5405	271	9	bulgarian	bulgarian	NOUN
cana-5405	271	10	)	)	PUNCT
cana-5405	271	11	.	.	PUNCT
cana-5405	272	1	[	[	X
cana-5405	272	2	2	2	NUM
cana-5405	272	3	]	]	X
cana-5405	272	4	choudhury	choudhury	PROPN
cana-5405	272	5	,	,	PUNCT
cana-5405	272	6	b.s	b.s	PROPN
cana-5405	272	7	,	,	PUNCT
cana-5405	272	8	maity	maity	NOUN
cana-5405	272	9	.	.	PUNCT
cana-5405	273	1	p	p	X
cana-5405	273	2	,	,	PUNCT
cana-5405	273	3	coupled	couple	VERB
cana-5405	273	4	fixed	fix	VERB
cana-5405	273	5	point	point	NOUN
cana-5405	273	6	results	result	NOUN
cana-5405	273	7	in	in	ADP
cana-5405	273	8	generalized	generalized	ADJ
cana-5405	273	9	metric	metric	ADJ
cana-5405	273	10	spaces	space	NOUN
cana-5405	273	11	,	,	PUNCT
cana-5405	273	12	math	math	NOUN
cana-5405	273	13	.	.	PUNCT
cana-5405	274	1	comput	comput	PROPN
cana-5405	274	2	.	.	PUNCT
cana-5405	275	1	model	model	PROPN
cana-5405	275	2	54	54	NUM
cana-5405	275	3	,	,	PUNCT
cana-5405	275	4	73	73	NUM
cana-5405	275	5	-	-	SYM
cana-5405	275	6	79	79	NUM
cana-5405	275	7	(	(	PUNCT
cana-5405	275	8	2011	2011	NUM
cana-5405	275	9	)	)	PUNCT
cana-5405	275	10	.	.	PUNCT
cana-5405	276	1	[	[	X
cana-5405	276	2	3	3	NUM
cana-5405	276	3	]	]	X
cana-5405	276	4	dhage	dhage	NOUN
cana-5405	276	5	,	,	PUNCT
cana-5405	276	6	b.c	b.c	PROPN
cana-5405	276	7	.	.	PROPN
cana-5405	276	8	,generalized	,generalized	PUNCT
cana-5405	276	9	metric	metric	ADJ
cana-5405	276	10	spaces	space	NOUN
cana-5405	276	11	and	and	CCONJ
cana-5405	276	12	mappings	mapping	NOUN
cana-5405	276	13	with	with	ADP
cana-5405	276	14	fixed	fix	VERB
cana-5405	276	15	point	point	NOUN
cana-5405	276	16	,	,	PUNCT
cana-5405	276	17	bull	bull	NOUN
cana-5405	276	18	.	.	PUNCT
cana-5405	277	1	calcutta	calcutta	PROPN
cana-5405	277	2	math	math	PROPN
cana-5405	277	3	.	.	PUNCT
cana-5405	278	1	soc	soc	PROPN
cana-5405	278	2	.	.	PUNCT
cana-5405	278	3	,	,	PUNCT
cana-5405	278	4	84(4	84(4	NUM
cana-5405	278	5	)	)	PUNCT
cana-5405	278	6	,	,	PUNCT
cana-5405	278	7	1992	1992	NUM
cana-5405	278	8	,	,	PUNCT
cana-5405	278	9	329	329	NUM
cana-5405	278	10	-	-	SYM
cana-5405	278	11	336	336	NUM
cana-5405	278	12	.	.	PUNCT
cana-5405	279	1	[	[	X
cana-5405	279	2	4	4	X
cana-5405	279	3	]	]	X
cana-5405	279	4	fahim	fahim	PROPN
cana-5405	279	5	ud	ud	INTJ
cana-5405	279	6	din	din	PROPN
cana-5405	279	7	,	,	PUNCT
cana-5405	279	8	umar	umar	PROPN
cana-5405	279	9	ishtiaq	ishtiaq	PROPN
cana-5405	279	10	,	,	PUNCT
cana-5405	279	11	lakhdar	lakhdar	NOUN
cana-5405	279	12	ragoub	ragoub	PROPN
cana-5405	279	13	,	,	PUNCT
cana-5405	279	14	khalil	khalil	PROPN
cana-5405	279	15	javed	javed	PROPN
cana-5405	279	16	,	,	PUNCT
cana-5405	279	17	muhammad	muhammad	PROPN
cana-5405	279	18	arshad	arshad	PROPN
cana-5405	279	19	,	,	PUNCT
cana-5405	279	20	a	a	DET
cana-5405	279	21	generalization	generalization	NOUN
cana-5405	279	22	of	of	ADP
cana-5405	279	23	neutrosophic	neutrosophic	ADJ
cana-5405	279	24	metric	metric	ADJ
cana-5405	279	25	space	space	NOUN
cana-5405	279	26	and	and	CCONJ
cana-5405	279	27	related	relate	VERB
cana-5405	279	28	fixed	fix	VERB
cana-5405	279	29	point	point	NOUN
cana-5405	279	30	results	result	NOUN
cana-5405	279	31	,	,	PUNCT
cana-5405	279	32	neutrosophic	neutrosophic	ADJ
cana-5405	279	33	sets	set	NOUN
cana-5405	279	34	and	and	CCONJ
cana-5405	279	35	systems	system	NOUN
cana-5405	279	36	,	,	PUNCT
cana-5405	279	37	vol	vol	NOUN
cana-5405	279	38	.	.	PROPN
cana-5405	279	39	66	66	NUM
cana-5405	279	40	,	,	PUNCT
cana-5405	279	41	2024	2024	NUM
cana-5405	279	42	[	[	X
cana-5405	279	43	5	5	NUM
cana-5405	279	44	]	]	X
cana-5405	279	45	george.a	george.a	PROPN
cana-5405	279	46	and	and	CCONJ
cana-5405	279	47	veeramani.p	veeramani.p	PROPN
cana-5405	279	48	,	,	PUNCT
cana-5405	279	49	on	on	ADP
cana-5405	279	50	some	some	DET
cana-5405	279	51	results	result	NOUN
cana-5405	279	52	in	in	ADP
cana-5405	279	53	fuzzy	fuzzy	ADJ
cana-5405	279	54	metric	metric	ADJ
cana-5405	279	55	spaces	space	NOUN
cana-5405	279	56	,	,	PUNCT
cana-5405	279	57	fuzzy	fuzzy	ADJ
cana-5405	279	58	sets	set	NOUN
cana-5405	279	59	and	and	CCONJ
cana-5405	279	60	systems,64(1994	systems,64(1994	NUM
cana-5405	279	61	)	)	PUNCT
cana-5405	279	62	,	,	PUNCT
cana-5405	279	63	395	395	NUM
cana-5405	279	64	399	399	NUM
cana-5405	279	65	.	.	PUNCT
cana-5405	280	1	[	[	X
cana-5405	280	2	6	6	NUM
cana-5405	280	3	]	]	SYM
cana-5405	280	4	hu	hu	PROPN
cana-5405	280	5	,	,	PUNCT
cana-5405	280	6	xq	xq	PROPN
cana-5405	280	7	,	,	PUNCT
cana-5405	280	8	common	common	ADJ
cana-5405	280	9	fixed	fix	VERB
cana-5405	280	10	point	point	NOUN
cana-5405	280	11	theorems	theorem	NOUN
cana-5405	280	12	for	for	ADP
cana-5405	280	13	contractive	contractive	ADJ
cana-5405	280	14	mappings	mapping	NOUN
cana-5405	280	15	in	in	ADP
cana-5405	280	16	fuzzy	fuzzy	ADJ
cana-5405	280	17	metric	metric	ADJ
cana-5405	280	18	spaces	space	NOUN
cana-5405	280	19	,	,	PUNCT
cana-5405	280	20	fixed	fix	VERB
cana-5405	280	21	point	point	NOUN
cana-5405	280	22	theory	theory	NOUN
cana-5405	280	23	appln	appln	PROPN
cana-5405	280	24	2011	2011	NUM
cana-5405	280	25	,	,	PUNCT
cana-5405	280	26	article	article	NOUN
cana-5405	280	27	i	i	PROPN
cana-5405	280	28	d	d	PROPN
cana-5405	280	29	363716(2011	363716(2011	NUM
cana-5405	280	30	)	)	PUNCT
cana-5405	281	1	[	[	X
cana-5405	281	2	7	7	NUM
cana-5405	281	3	]	]	X
cana-5405	281	4	kirisci	kirisci	NOUN
cana-5405	281	5	,	,	PUNCT
cana-5405	281	6	m.	m.	NOUN
cana-5405	281	7	,	,	PUNCT
cana-5405	281	8	simsek	simsek	NOUN
cana-5405	281	9	,	,	PUNCT
cana-5405	281	10	n.	n.	PROPN
cana-5405	281	11	neutrosophic	neutrosophic	ADJ
cana-5405	281	12	metric	metric	ADJ
cana-5405	281	13	spaces	space	NOUN
cana-5405	281	14	,	,	PUNCT
cana-5405	281	15	math	math	NOUN
cana-5405	281	16	sci	sci	PROPN
cana-5405	281	17	14,(2020	14,(2020	NUM
cana-5405	281	18	)	)	PUNCT
cana-5405	281	19	241–248	241–248	NUM
cana-5405	281	20	.	.	PUNCT
cana-5405	282	1	[	[	X
cana-5405	282	2	8	8	NUM
cana-5405	282	3	]	]	SYM
cana-5405	282	4	kramosil	kramosil	NOUN
cana-5405	282	5	.	.	PUNCT
cana-5405	283	1	o	o	NOUN
cana-5405	283	2	and	and	CCONJ
cana-5405	283	3	michalek	michalek	NOUN
cana-5405	283	4	.	.	PUNCT
cana-5405	284	1	j	j	NOUN
cana-5405	284	2	,	,	PUNCT
cana-5405	284	3	“	"	PUNCT
cana-5405	284	4	fuzzy	fuzzy	ADJ
cana-5405	284	5	metric	metric	ADJ
cana-5405	284	6	and	and	CCONJ
cana-5405	284	7	statistical	statistical	ADJ
cana-5405	284	8	metric	metric	ADJ
cana-5405	284	9	spaces	space	NOUN
cana-5405	284	10	”	"	PUNCT
cana-5405	284	11	,	,	PUNCT
cana-5405	284	12	ky	ky	PROPN
cana-5405	284	13	bernetics,11(1975	bernetics,11(1975	PROPN
cana-5405	284	14	)	)	PUNCT
cana-5405	284	15	330	330	NUM
cana-5405	284	16	-334	-334	NOUN
cana-5405	284	17	.	.	PUNCT
cana-5405	285	1	[	[	X
cana-5405	285	2	9	9	NUM
cana-5405	285	3	]	]	SYM
cana-5405	285	4	park	park	NOUN
cana-5405	285	5	,	,	PUNCT
cana-5405	285	6	j.h	j.h	PROPN
cana-5405	285	7	.	.	PROPN
cana-5405	285	8	intuitionstic	intuitionstic	ADJ
cana-5405	285	9	fuzzy	fuzzy	ADJ
cana-5405	285	10	metric	metric	ADJ
cana-5405	285	11	spaces	space	NOUN
cana-5405	285	12	,	,	PUNCT
cana-5405	285	13	chaos	chaos	NOUN
cana-5405	285	14	solitons	soliton	NOUN
cana-5405	285	15	fractals	fractal	NOUN
cana-5405	285	16	2004	2004	NUM
cana-5405	285	17	,	,	PUNCT
cana-5405	285	18	22	22	NUM
cana-5405	285	19	,	,	PUNCT
cana-5405	285	20	1039	1039	NUM
cana-5405	285	21	-	-	SYM
cana-5405	285	22	1046	1046	NUM
cana-5405	285	23	.	.	PUNCT
cana-5405	286	1	communications	communication	NOUN
cana-5405	286	2	on	on	ADP
cana-5405	286	3	applied	apply	VERB
cana-5405	286	4	nonlinear	nonlinear	ADJ
cana-5405	286	5	analysis	analysis	NOUN
cana-5405	286	6	issn	issn	NOUN
cana-5405	286	7	:	:	PUNCT
cana-5405	286	8	1074	1074	NUM
cana-5405	286	9	-	-	PUNCT
cana-5405	286	10	133x	133x	NUM
cana-5405	286	11	vol	vol	VERB
cana-5405	286	12	32	32	NUM
cana-5405	286	13	no	no	NOUN
cana-5405	286	14	.	.	PUNCT
cana-5405	287	1	10s	10	NOUN
cana-5405	287	2	(	(	PUNCT
cana-5405	287	3	2025	2025	NUM
cana-5405	287	4	)	)	PUNCT
cana-5405	287	5	2161	2161	NUM
cana-5405	287	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5405	288	1	[	[	X
cana-5405	288	2	10	10	NUM
cana-5405	288	3	]	]	X
cana-5405	288	4	mustafa	mustafa	PROPN
cana-5405	288	5	.	.	PUNCT
cana-5405	289	1	z	z	NOUN
cana-5405	289	2	and	and	CCONJ
cana-5405	289	3	sims	sim	NOUN
cana-5405	289	4	.b	.b	PROPN
cana-5405	289	5	,	,	PUNCT
cana-5405	289	6	some	some	DET
cana-5405	289	7	remarks	remark	NOUN
cana-5405	289	8	concerning	concern	VERB
cana-5405	289	9	d	d	ADJ
cana-5405	289	10	-	-	ADJ
cana-5405	289	11	metric	metric	ADJ
cana-5405	289	12	spaces	space	NOUN
cana-5405	289	13	,	,	PUNCT
cana-5405	289	14	in	in	ADP
cana-5405	289	15	proceedings	proceeding	NOUN
cana-5405	289	16	of	of	ADP
cana-5405	289	17	the	the	DET
cana-5405	289	18	international	international	ADJ
cana-5405	289	19	conferences	conference	NOUN
cana-5405	289	20	on	on	ADP
cana-5405	289	21	fixed	fix	VERB
cana-5405	289	22	point	point	NOUN
cana-5405	289	23	theory	theory	NOUN
cana-5405	289	24	and	and	CCONJ
cana-5405	289	25	applications	application	NOUN
cana-5405	289	26	,	,	PUNCT
cana-5405	289	27	pp.189	pp.189	PROPN
cana-5405	289	28	-	-	PUNCT
cana-5405	289	29	198	198	NUM
cana-5405	289	30	,	,	PUNCT
cana-5405	289	31	valencia	valencia	PROPN
cana-5405	289	32	,	,	PUNCT
cana-5405	289	33	spain	spain	PROPN
cana-5405	289	34	,	,	PUNCT
cana-5405	289	35	july	july	PROPN
cana-5405	289	36	2003	2003	NUM
cana-5405	289	37	.	.	PUNCT
cana-5405	290	1	[	[	X
cana-5405	290	2	11	11	NUM
cana-5405	290	3	]	]	PUNCT
cana-5405	290	4	mustafa.z	mustafa.z	NOUN
cana-5405	290	5	and	and	CCONJ
cana-5405	290	6	sims.b	sims.b	NUM
cana-5405	290	7	,	,	PUNCT
cana-5405	290	8	a	a	DET
cana-5405	290	9	new	new	ADJ
cana-5405	290	10	approach	approach	NOUN
cana-5405	290	11	to	to	ADP
cana-5405	290	12	generalized	generalize	VERB
cana-5405	290	13	metric	metric	ADJ
cana-5405	290	14	spaces	space	NOUN
cana-5405	290	15	,	,	PUNCT
cana-5405	290	16	journal	journal	NOUN
cana-5405	290	17	of	of	ADP
cana-5405	290	18	non	non	ADJ
cana-5405	290	19	-	-	ADJ
cana-5405	290	20	linear	linear	ADJ
cana-5405	290	21	and	and	CCONJ
cana-5405	290	22	convex	convex	ADJ
cana-5405	290	23	analysis	analysis	NOUN
cana-5405	290	24	,	,	PUNCT
cana-5405	290	25	vol.7	vol.7	PROPN
cana-5405	290	26	,	,	PUNCT
cana-5405	290	27	no.2	no.2	PROPN
cana-5405	290	28	,	,	PUNCT
cana-5405	290	29	pp	pp	ADV
cana-5405	290	30	289	289	NUM
cana-5405	290	31	-	-	SYM
cana-5405	290	32	297	297	NUM
cana-5405	290	33	,	,	PUNCT
cana-5405	290	34	2006	2006	NUM
cana-5405	290	35	.	.	PUNCT
cana-5405	291	1	[	[	X
cana-5405	291	2	12	12	NUM
cana-5405	291	3	]	]	X
cana-5405	291	4	rao	rao	PROPN
cana-5405	291	5	,	,	PUNCT
cana-5405	291	6	k.p.r	k.p.r	ADJ
cana-5405	291	7	,	,	PUNCT
cana-5405	291	8	altun	altun	NOUN
cana-5405	291	9	.	.	PUNCT
cana-5405	292	1	i	i	PRON
cana-5405	292	2	,	,	PUNCT
cana-5405	292	3	bindu	bindu	PROPN
cana-5405	292	4	s.h	s.h	PROPN
cana-5405	292	5	,	,	PUNCT
cana-5405	292	6	common	common	ADJ
cana-5405	292	7	coupled	couple	VERB
cana-5405	292	8	fixed	fix	VERB
cana-5405	292	9	point	point	NOUN
cana-5405	292	10	theorem	theorem	VERB
cana-5405	292	11	in	in	ADP
cana-5405	292	12	generalized	generalized	ADJ
cana-5405	292	13	fuzzy	fuzzy	ADJ
cana-5405	292	14	metric	metric	ADJ
cana-5405	292	15	spaces	space	NOUN
cana-5405	292	16	,	,	PUNCT
cana-5405	292	17	adv	adv	PROPN
cana-5405	292	18	.	.	PUNCT
cana-5405	292	19	fuzzy	fuzzy	ADJ
cana-5405	292	20	syst	syst	PROPN
cana-5405	292	21	.	.	PUNCT
cana-5405	293	1	2011	2011	NUM
cana-5405	293	2	,	,	PUNCT
cana-5405	293	3	article	article	NOUN
cana-5405	293	4	i	i	PROPN
cana-5405	293	5	d	d	PROPN
cana-5405	293	6	986748	986748	NUM
cana-5405	293	7	.	.	PUNCT
cana-5405	294	1	[	[	X
cana-5405	294	2	13	13	NUM
cana-5405	294	3	]	]	SYM
cana-5405	294	4	renu	renu	PROPN
cana-5405	294	5	chugh	chugh	NOUN
cana-5405	294	6	,	,	PUNCT
cana-5405	294	7	zead	zead	PROPN
cana-5405	294	8	mustafa	mustafa	PROPN
cana-5405	294	9	,	,	PUNCT
cana-5405	294	10	madhu	madhu	PROPN
cana-5405	294	11	aggarwal	aggarwal	PROPN
cana-5405	294	12	and	and	CCONJ
cana-5405	294	13	tamanna	tamanna	PROPN
cana-5405	294	14	kadian	kadian	PROPN
cana-5405	294	15	,	,	PUNCT
cana-5405	294	16	properties	property	NOUN
cana-5405	294	17	p	p	NOUN
cana-5405	294	18	and	and	CCONJ
cana-5405	294	19	q	q	NOUN
cana-5405	294	20	in	in	ADP
cana-5405	294	21	non	non	ADJ
cana-5405	294	22	-	-	ADJ
cana-5405	294	23	archimedean	archimedean	ADJ
cana-5405	294	24	g	g	NOUN
cana-5405	294	25	-	-	PUNCT
cana-5405	294	26	fuzzy	fuzzy	ADJ
cana-5405	294	27	metric	metric	ADJ
cana-5405	294	28	spaces	space	NOUN
cana-5405	294	29	,	,	PUNCT
cana-5405	294	30	international	international	ADJ
cana-5405	294	31	journal	journal	NOUN
cana-5405	294	32	of	of	ADP
cana-5405	294	33	mathematical	mathematical	ADJ
cana-5405	294	34	archive	archive	NOUN
cana-5405	294	35	3(1	3(1	NUM
cana-5405	294	36	)	)	PUNCT
cana-5405	294	37	,	,	PUNCT
cana-5405	294	38	2012	2012	NUM
cana-5405	294	39	,	,	PUNCT
cana-5405	294	40	page	page	NOUN
cana-5405	294	41	:	:	PUNCT
cana-5405	294	42	1	1	NUM
cana-5405	294	43	-	-	SYM
cana-5405	294	44	8	8	NUM
cana-5405	294	45	[	[	SYM
cana-5405	294	46	14	14	NUM
cana-5405	294	47	]	]	PUNCT
cana-5405	294	48	m.	m.	NOUN
cana-5405	294	49	jeyaraman	jeyaraman	PROPN
cana-5405	294	50	,	,	PUNCT
cana-5405	294	51	r.	r.	PROPN
cana-5405	294	52	muthuraj	muthuraj	PROPN
cana-5405	294	53	,	,	PUNCT
cana-5405	294	54	m.	m.	NOUN
cana-5405	294	55	sornavalli	sornavalli	NOUN
cana-5405	294	56	and	and	CCONJ
cana-5405	294	57	zead	zead	PROPN
cana-5405	294	58	mustafa	mustafa	PROPN
cana-5405	294	59	common	common	ADJ
cana-5405	294	60	fixed	fix	VERB
cana-5405	294	61	point	point	NOUN
cana-5405	294	62	theorems	theorem	NOUN
cana-5405	294	63	for	for	ADP
cana-5405	294	64	w	w	NOUN
cana-5405	294	65	-	-	PUNCT
cana-5405	294	66	compatible	compatible	ADJ
cana-5405	294	67	maps	map	NOUN
cana-5405	294	68	of	of	ADP
cana-5405	294	69	type	type	NOUN
cana-5405	294	70	(	(	PUNCT
cana-5405	294	71	p	p	NOUN
cana-5405	294	72	)	)	PUNCT
cana-5405	294	73	in	in	ADP
cana-5405	294	74	intuitionistic	intuitionistic	ADJ
cana-5405	294	75	generalized	generalized	ADJ
cana-5405	294	76	fuzzy	fuzzy	ADJ
cana-5405	294	77	metric	metric	ADJ
cana-5405	294	78	spaces	space	NOUN
cana-5405	294	79	,	,	PUNCT
cana-5405	294	80	international	international	ADJ
cana-5405	294	81	journal	journal	NOUN
cana-5405	294	82	of	of	ADP
cana-5405	294	83	advances	advance	NOUN
cana-5405	294	84	in	in	ADP
cana-5405	294	85	mathematics	mathematic	NOUN
cana-5405	294	86	,	,	PUNCT
cana-5405	294	87	volume	volume	NOUN
cana-5405	294	88	2018	2018	NUM
cana-5405	294	89	,	,	PUNCT
cana-5405	294	90	number	number	NOUN
cana-5405	294	91	5	5	NUM
cana-5405	294	92	,	,	PUNCT
cana-5405	294	93	pages	page	NOUN
cana-5405	294	94	34	34	NUM
cana-5405	294	95	-	-	SYM
cana-5405	294	96	44	44	NUM
cana-5405	294	97	,	,	PUNCT
cana-5405	294	98	2018	2018	NUM
cana-5405	294	99	.	.	PUNCT
cana-5405	295	1	[	[	X
cana-5405	295	2	15	15	NUM
cana-5405	295	3	]	]	X
cana-5405	295	4	riaz	riaz	PROPN
cana-5405	295	5	,	,	PUNCT
cana-5405	295	6	m.	m.	NOUN
cana-5405	295	7	;	;	PUNCT
cana-5405	295	8	ishtiaq	ishtiaq	PROPN
cana-5405	295	9	,	,	PUNCT
cana-5405	295	10	u.	u.	PROPN
cana-5405	295	11	;	;	PUNCT
cana-5405	295	12	park	park	PROPN
cana-5405	295	13	,	,	PUNCT
cana-5405	295	14	c.	c.	PROPN
cana-5405	295	15	;	;	PUNCT
cana-5405	295	16	ahmad	ahmad	PROPN
cana-5405	295	17	,	,	PUNCT
cana-5405	295	18	k.	k.	PROPN
cana-5405	295	19	;	;	PUNCT
cana-5405	295	20	uddin	uddin	PROPN
cana-5405	295	21	,	,	PUNCT
cana-5405	295	22	f.	f.	PROPN
cana-5405	295	23	some	some	DET
cana-5405	295	24	fixed	fix	VERB
cana-5405	295	25	point	point	NOUN
cana-5405	295	26	results	result	NOUN
cana-5405	295	27	for	for	ADP
cana-5405	295	28	휀	휀	DET
cana-5405	295	29	−chainable	−chainable	ADJ
cana-5405	295	30	neutrosophic	neutrosophic	ADJ
cana-5405	295	31	and	and	CCONJ
cana-5405	295	32	generalized	generalized	ADJ
cana-5405	295	33	neutrosophic	neutrosophic	ADJ
cana-5405	295	34	cone	cone	NOUN
cana-5405	295	35	metric	metric	ADJ
cana-5405	295	36	spaces	space	NOUN
cana-5405	295	37	with	with	ADP
cana-5405	295	38	application	application	NOUN
cana-5405	295	39	.	.	PUNCT
cana-5405	296	1	aims	aim	VERB
cana-5405	296	2	math	math	NOUN
cana-5405	296	3	.	.	PUNCT
cana-5405	297	1	2022	2022	NUM
cana-5405	297	2	,	,	PUNCT
cana-5405	297	3	7	7	NUM
cana-5405	297	4	,	,	PUNCT
cana-5405	297	5	14756–14784	14756–14784	NUM
cana-5405	297	6	.	.	PUNCT
cana-5405	298	1	[	[	X
cana-5405	298	2	16	16	NUM
cana-5405	298	3	]	]	PUNCT
cana-5405	298	4	sintunavarat.w	sintunavarat.w	NUM
cana-5405	298	5	,	,	PUNCT
cana-5405	298	6	kumam.p	kumam.p	CCONJ
cana-5405	298	7	,	,	PUNCT
cana-5405	298	8	fixed	fix	VERB
cana-5405	298	9	point	point	NOUN
cana-5405	298	10	theorems	theorem	NOUN
cana-5405	298	11	for	for	ADP
cana-5405	298	12	a	a	DET
cana-5405	298	13	generalized	generalized	ADJ
cana-5405	298	14	intuitionstic	intuitionstic	ADJ
cana-5405	298	15	fuzzy	fuzzy	ADJ
cana-5405	298	16	contraction	contraction	NOUN
cana-5405	298	17	in	in	ADP
cana-5405	298	18	intuitionstic	intuitionstic	ADJ
cana-5405	298	19	fuzzy	fuzzy	ADJ
cana-5405	298	20	metric	metric	ADJ
cana-5405	298	21	spaces	space	NOUN
cana-5405	298	22	,	,	PUNCT
cana-5405	298	23	thai	thai	PROPN
cana-5405	298	24	j.	j.	PROPN
cana-5405	298	25	math	math	PROPN
cana-5405	298	26	.	.	PUNCT
cana-5405	299	1	10(1	10(1	NUM
cana-5405	299	2	)	)	PUNCT
cana-5405	299	3	,	,	PUNCT
cana-5405	299	4	123	123	NUM
cana-5405	299	5	-	-	SYM
cana-5405	299	6	135(2012	135(2012	NUM
cana-5405	299	7	)	)	PUNCT
cana-5405	299	8	.	.	PUNCT
cana-5405	300	1	[	[	X
cana-5405	300	2	17	17	NUM
cana-5405	300	3	]	]	PUNCT
cana-5405	300	4	sintunavarat.w	sintunavarat.w	NUM
cana-5405	300	5	,	,	PUNCT
cana-5405	300	6	kumam.p	kumam.p	PROPN
cana-5405	300	7	,	,	PUNCT
cana-5405	300	8	w.	w.	NOUN
cana-5405	300	9	petrusel	petrusel	NOUN
cana-5405	300	10	,	,	PUNCT
cana-5405	300	11	common	common	ADJ
cana-5405	300	12	coupled	couple	VERB
cana-5405	300	13	fixed	fix	VERB
cana-5405	300	14	point	point	NOUN
cana-5405	300	15	theorems	theorem	NOUN
cana-5405	300	16	for	for	ADP
cana-5405	300	17	w	w	NOUN
cana-5405	300	18	*	*	ADJ
cana-5405	300	19	compatible	compatible	ADJ
cana-5405	300	20	mappings	mapping	NOUN
cana-5405	300	21	without	without	ADP
cana-5405	300	22	mixed	mixed	ADJ
cana-5405	300	23	monotone	monotone	ADJ
cana-5405	300	24	property	property	NOUN
cana-5405	300	25	rend	rend	NOUN
cana-5405	300	26	.	.	PUNCT
cana-5405	301	1	circ	circ	NOUN
cana-5405	301	2	.	.	PUNCT
cana-5405	302	1	mat	mat	PROPN
cana-5405	302	2	.	.	PUNCT
cana-5405	302	3	palermo	palermo	PROPN
cana-5405	302	4	61	61	NUM
cana-5405	302	5	,	,	PUNCT
cana-5405	302	6	361	361	NUM
cana-5405	302	7	-	-	SYM
cana-5405	302	8	383	383	NUM
cana-5405	302	9	(	(	PUNCT
cana-5405	302	10	2012	2012	NUM
cana-5405	302	11	)	)	PUNCT
cana-5405	302	12	.	.	PUNCT
cana-5405	303	1	[	[	X
cana-5405	303	2	18	18	NUM
cana-5405	303	3	]	]	PUNCT
cana-5405	303	4	sun	sun	NOUN
cana-5405	303	5	.	.	PUNCT
cana-5405	304	1	g	g	NOUN
cana-5405	304	2	,	,	PUNCT
cana-5405	304	3	and	and	CCONJ
cana-5405	304	4	yang	yang	PROPN
cana-5405	304	5	.	.	PUNCT
cana-5405	305	1	k	k	PROPN
cana-5405	305	2	,	,	PUNCT
cana-5405	305	3	generalized	generalize	VERB
cana-5405	305	4	fuzzy	fuzzy	ADJ
cana-5405	305	5	metric	metric	ADJ
cana-5405	305	6	spaces	space	NOUN
cana-5405	305	7	with	with	ADP
cana-5405	305	8	properties	property	NOUN
cana-5405	305	9	res	re	NOUN
cana-5405	305	10	.	.	PUNCT
cana-5405	306	1	j.	j.	PROPN
cana-5405	306	2	appl	appl	PROPN
cana-5405	306	3	.	.	PUNCT
cana-5405	307	1	sci	sci	PROPN
cana-5405	307	2	2	2	NUM
cana-5405	307	3	,	,	PUNCT
cana-5405	307	4	673	673	NUM
cana-5405	307	5	-	-	PUNCT
cana-5405	307	6	678(2010	678(2010	NUM
cana-5405	307	7	)	)	PUNCT
cana-5405	307	8	.	.	PUNCT
cana-5405	308	1	[	[	X
cana-5405	308	2	19]smarandache	19]smarandache	NUM
cana-5405	308	3	,	,	PUNCT
cana-5405	308	4	f.	f.	PROPN
cana-5405	308	5	,	,	PUNCT
cana-5405	308	6	neutrosophy	neutrosophy	NOUN
cana-5405	308	7	/	/	SYM
cana-5405	308	8	neutrosophic	neutrosophic	ADJ
cana-5405	308	9	probability	probability	NOUN
cana-5405	308	10	,	,	PUNCT
cana-5405	308	11	set	set	NOUN
cana-5405	308	12	,	,	PUNCT
cana-5405	308	13	and	and	CCONJ
cana-5405	308	14	logic	logic	NOUN
cana-5405	308	15	,	,	PUNCT
cana-5405	308	16	american	american	ADJ
cana-5405	308	17	research	research	PROPN
cana-5405	308	18	press	press	NOUN
cana-5405	308	19	,	,	PUNCT
cana-5405	308	20	1998	1998	NUM
cana-5405	308	21	.	.	PUNCT
cana-5405	309	1	[	[	X
cana-5405	309	2	20	20	NUM
cana-5405	309	3	]	]	X
cana-5405	309	4	smarandache	smarandache	NOUN
cana-5405	309	5	,	,	PUNCT
cana-5405	309	6	f.	f.	PROPN
cana-5405	309	7	,	,	PUNCT
cana-5405	309	8	neutrosophic	neutrosophic	PROPN
cana-5405	309	9	set	set	NOUN
cana-5405	309	10	,	,	PUNCT
cana-5405	309	11	a	a	DET
cana-5405	309	12	generalization	generalization	NOUN
cana-5405	309	13	of	of	ADP
cana-5405	309	14	intuitionistic	intuitionistic	ADJ
cana-5405	309	15	fuzzy	fuzzy	ADJ
cana-5405	309	16	sets	set	NOUN
cana-5405	309	17	,	,	PUNCT
cana-5405	309	18	int	int	NOUN
cana-5405	309	19	.	.	PUNCT
cana-5405	310	1	j.	j.	PROPN
cana-5405	310	2	pure	pure	PROPN
cana-5405	310	3	appl	appl	PROPN
cana-5405	310	4	.	.	PUNCT
cana-5405	310	5	math	math	PROPN
cana-5405	310	6	.	.	PUNCT
cana-5405	310	7	,	,	PUNCT
cana-5405	310	8	24(2005	24(2005	NUM
cana-5405	310	9	)	)	PUNCT
cana-5405	310	10	,	,	PUNCT
cana-5405	310	11	287	287	NUM
cana-5405	310	12	-	-	SYM
cana-5405	310	13	297	297	NUM
cana-5405	310	14	.	.	PUNCT
cana-5405	311	1	[	[	X
cana-5405	311	2	21	21	NUM
cana-5405	311	3	]	]	X
cana-5405	311	4	smarandache	smarandache	NOUN
cana-5405	311	5	,	,	PUNCT
cana-5405	311	6	f.	f.	PROPN
cana-5405	311	7	,	,	PUNCT
cana-5405	311	8	neutrosophy	neutrosophy	NOUN
cana-5405	311	9	,	,	PUNCT
cana-5405	311	10	a	a	DET
cana-5405	311	11	new	new	ADJ
cana-5405	311	12	branch	branch	NOUN
cana-5405	311	13	of	of	ADP
cana-5405	311	14	philosophy	philosophy	NOUN
cana-5405	311	15	,	,	PUNCT
cana-5405	311	16	infinite	infinite	ADJ
cana-5405	311	17	study	study	NOUN
cana-5405	311	18	,	,	PUNCT
cana-5405	311	19	2002	2002	NUM
cana-5405	311	20	.	.	PUNCT
cana-5405	312	1	[	[	X
cana-5405	312	2	22	22	NUM
cana-5405	312	3	]	]	X
cana-5405	312	4	syed	syed	PROPN
cana-5405	312	5	abdul	abdul	PROPN
cana-5405	312	6	mohiuddine	mohiuddine	PROPN
cana-5405	312	7	and	and	CCONJ
cana-5405	312	8	abdullah	abdullah	PROPN
cana-5405	312	9	alotaibi	alotaibi	PROPN
cana-5405	312	10	,	,	PUNCT
cana-5405	312	11	coupled	couple	VERB
cana-5405	312	12	coincidence	coincidence	NOUN
cana-5405	312	13	point	point	NOUN
cana-5405	312	14	theorems	theorem	NOUN
cana-5405	312	15	for	for	ADP
cana-5405	312	16	compatible	compatible	ADJ
cana-5405	312	17	mappings	mapping	NOUN
cana-5405	312	18	in	in	ADP
cana-5405	312	19	partially	partially	ADV
cana-5405	312	20	ordered	order	VERB
cana-5405	312	21	intuitionistic	intuitionistic	ADJ
cana-5405	312	22	generealized	generealized	ADJ
cana-5405	312	23	fuzzy	fuzzy	ADJ
cana-5405	312	24	metric	metric	ADJ
cana-5405	312	25	spaces	space	NOUN
cana-5405	312	26	,	,	PUNCT
cana-5405	312	27	fixed	fix	VERB
cana-5405	312	28	point	point	NOUN
cana-5405	312	29	theory	theory	NOUN
cana-5405	312	30	and	and	CCONJ
cana-5405	312	31	applications	application	NOUN
cana-5405	312	32	(	(	PUNCT
cana-5405	312	33	2013	2013	NUM
cana-5405	312	34	)	)	PUNCT
cana-5405	312	35	.	.	PUNCT
cana-5405	313	1	[	[	X
cana-5405	313	2	23	23	NUM
cana-5405	313	3	]	]	PUNCT
cana-5405	313	4	umar	umar	PROPN
cana-5405	313	5	ishtiaq	ishtiaq	PROPN
cana-5405	313	6	,	,	PUNCT
cana-5405	313	7	fahim	fahim	PROPN
cana-5405	313	8	ud	ud	INTJ
cana-5405	313	9	din	din	VERB
cana-5405	313	10	,	,	PUNCT
cana-5405	313	11	mureed	mureed	ADP
cana-5405	313	12	qasim	qasim	PROPN
cana-5405	313	13	,	,	PUNCT
cana-5405	313	14	lakhdar	lakhdar	NOUN
cana-5405	313	15	ragoub	ragoub	PROPN
cana-5405	313	16	,	,	PUNCT
cana-5405	313	17	khalil	khalil	PROPN
cana-5405	313	18	javed	javed	PROPN
cana-5405	313	19	,	,	PUNCT
cana-5405	313	20	new	new	ADJ
cana-5405	313	21	fixed	fix	VERB
cana-5405	313	22	point	point	NOUN
cana-5405	313	23	results	result	NOUN
cana-5405	313	24	in	in	ADP
cana-5405	313	25	neutrosophic	neutrosophic	ADJ
cana-5405	313	26	metric	metric	ADJ
cana-5405	313	27	spaces	space	NOUN
cana-5405	313	28	,	,	PUNCT
cana-5405	313	29	neutrosophic	neutrosophic	ADJ
cana-5405	313	30	sets	set	NOUN
cana-5405	313	31	and	and	CCONJ
cana-5405	313	32	systems,65,(2024	systems,65,(2024	X
cana-5405	313	33	)	)	PUNCT
cana-5405	314	1	[	[	X
cana-5405	314	2	24	24	NUM
cana-5405	314	3	]	]	PUNCT
cana-5405	314	4	xu	xu	PROPN
cana-5405	314	5	-	-	PUNCT
cana-5405	314	6	x	x	PROPN
cana-5405	314	7	-	-	NOUN
cana-5405	314	8	qi	qi	NOUN
cana-5405	314	9	,	,	PUNCT
cana-5405	314	10	luo.q	luo.q	PROPN
cana-5405	314	11	,	,	PUNCT
cana-5405	314	12	coupled	couple	VERB
cana-5405	314	13	coincidence	coincidence	NOUN
cana-5405	314	14	point	point	NOUN
cana-5405	314	15	theorems	theorem	NOUN
cana-5405	314	16	for	for	ADP
cana-5405	314	17	contractions	contraction	NOUN
cana-5405	314	18	in	in	ADP
cana-5405	314	19	generalized	generalized	ADJ
cana-5405	314	20	fuzzy	fuzzy	ADJ
cana-5405	314	21	metric	metric	ADJ
cana-5405	314	22	spaces	space	NOUN
cana-5405	314	23	,	,	PUNCT
cana-5405	314	24	fixed	fix	VERB
cana-5405	314	25	point	point	NOUN
cana-5405	314	26	theory	theory	NOUN
cana-5405	314	27	appl	appl	PROPN
cana-5405	314	28	.	.	PROPN
cana-5405	314	29	2012	2012	NUM
cana-5405	314	30	,	,	PUNCT
cana-5405	314	31	196(2012	196(2012	NUM
cana-5405	314	32	)	)	PUNCT
cana-5405	314	33	.	.	PUNCT
cana-5405	315	1	[	[	X
cana-5405	315	2	25	25	NUM
cana-5405	315	3	]	]	X
cana-5405	315	4	zadeh	zadeh	PROPN
cana-5405	315	5	l.a	l.a	PROPN
cana-5405	315	6	.	.	PROPN
cana-5405	315	7	,	,	PUNCT
cana-5405	315	8	fuzzy	fuzzy	ADJ
cana-5405	315	9	sets	set	NOUN
cana-5405	315	10	,	,	PUNCT
cana-5405	315	11	inform	inform	NOUN
cana-5405	315	12	.	.	PUNCT
cana-5405	316	1	and	and	CCONJ
cana-5405	316	2	control	control	NOUN
cana-5405	316	3	,	,	PUNCT
cana-5405	316	4	8	8	NUM
cana-5405	316	5	(	(	PUNCT
cana-5405	316	6	1965	1965	NUM
cana-5405	316	7	)	)	PUNCT
cana-5405	316	8	,	,	PUNCT
cana-5405	316	9	338353	338353	NUM
cana-5405	316	10	.	.	PUNCT