id	sid	tid	token	lemma	pos
cana-5492	1	1	communications	communication	NOUN
cana-5492	1	2	on	on	ADP
cana-5492	1	3	applied	apply	VERB
cana-5492	1	4	nonlinear	nonlinear	ADJ
cana-5492	1	5	analysis	analysis	NOUN
cana-5492	1	6	issn	issn	NOUN
cana-5492	1	7	:	:	PUNCT
cana-5492	1	8	1074	1074	NUM
cana-5492	1	9	-	-	PUNCT
cana-5492	1	10	133x	133x	NUM
cana-5492	1	11	vol	vol	VERB
cana-5492	1	12	32	32	NUM
cana-5492	1	13	no	no	NOUN
cana-5492	1	14	.	.	PUNCT
cana-5492	2	1	10s	10	NOUN
cana-5492	2	2	(	(	PUNCT
cana-5492	2	3	2025	2025	NUM
cana-5492	2	4	)	)	PUNCT
cana-5492	2	5	2442	2442	NUM
cana-5492	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	2	7	contra	contra	PROPN
cana-5492	2	8	continuous	continuous	ADJ
cana-5492	2	9	and	and	CCONJ
cana-5492	2	10	open	open	ADJ
cana-5492	2	11	maps	map	NOUN
cana-5492	2	12	via	via	ADP
cana-5492	2	13	neutrosophic	neutrosophic	ADJ
cana-5492	2	14	soft	soft	ADJ
cana-5492	2	15	z	z	NOUN
cana-5492	2	16	–	–	PUNCT
cana-5492	2	17	open	open	ADJ
cana-5492	2	18	sets	set	NOUN
cana-5492	2	19	1b	1b	NUM
cana-5492	2	20	.	.	PUNCT
cana-5492	3	1	vijayalakshmi	vijayalakshmi	NOUN
cana-5492	3	2	*	*	PUNCT
cana-5492	3	3	and	and	CCONJ
cana-5492	3	4	2s	2s	PROPN
cana-5492	3	5	.	.	PUNCT
cana-5492	3	6	madhunika	madhunika	PROPN
cana-5492	3	7	1assistant	1assistant	NUM
cana-5492	3	8	professor	professor	NOUN
cana-5492	3	9	,	,	PUNCT
cana-5492	3	10	department	department	NOUN
cana-5492	3	11	of	of	ADP
cana-5492	3	12	mathematics	mathematics	PROPN
cana-5492	3	13	,	,	PUNCT
cana-5492	3	14	annamalai	annamalai	PROPN
cana-5492	3	15	university	university	PROPN
cana-5492	3	16	,	,	PUNCT
cana-5492	3	17	annamalai	annamalai	PROPN
cana-5492	3	18	nagar	nagar	PROPN
cana-5492	3	19	608002	608002	NUM
cana-5492	3	20	,	,	PUNCT
cana-5492	3	21	tamilnadu	tamilnadu	PROPN
cana-5492	3	22	,	,	PUNCT
cana-5492	3	23	india	india	PROPN
cana-5492	3	24	.	.	PUNCT
cana-5492	3	25	email	email	NOUN
cana-5492	3	26	:	:	PUNCT
cana-5492	3	27	mathvijaya2006au@gmail.com	mathvijaya2006au@gmail.com	PROPN
cana-5492	3	28	2research	2research	NUM
cana-5492	3	29	scholar	scholar	NOUN
cana-5492	3	30	,	,	PUNCT
cana-5492	3	31	department	department	NOUN
cana-5492	3	32	of	of	ADP
cana-5492	3	33	mathematics	mathematics	PROPN
cana-5492	3	34	,	,	PUNCT
cana-5492	3	35	annamalai	annamalai	PROPN
cana-5492	3	36	university	university	PROPN
cana-5492	3	37	,	,	PUNCT
cana-5492	3	38	annamalai	annamalai	PROPN
cana-5492	3	39	nagar	nagar	PROPN
cana-5492	3	40	608002	608002	NUM
cana-5492	3	41	,	,	PUNCT
cana-5492	3	42	tamilnadu	tamilnadu	PROPN
cana-5492	3	43	,	,	PUNCT
cana-5492	3	44	india	india	PROPN
cana-5492	3	45	.	.	PUNCT
cana-5492	3	46	email	email	NOUN
cana-5492	3	47	:	:	PUNCT
cana-5492	4	1	madhunika2020@gmail.com	madhunika2020@gmail.com	X
cana-5492	5	1	correspponding	correspponde	VERB
cana-5492	5	2	author	author	NOUN
cana-5492	5	3	:	:	PUNCT
cana-5492	5	4	mathvijaya2006au@gmail.com	mathvijaya2006au@gmail.com	PROPN
cana-5492	5	5	article	article	NOUN
cana-5492	5	6	history	history	NOUN
cana-5492	5	7	:	:	PUNCT
cana-5492	5	8	received	receive	VERB
cana-5492	5	9	:	:	PUNCT
cana-5492	5	10	12	12	NUM
cana-5492	5	11	-	-	SYM
cana-5492	5	12	01	01	NUM
cana-5492	5	13	-	-	PUNCT
cana-5492	5	14	2025	2025	NUM
cana-5492	5	15	revised	revise	VERB
cana-5492	5	16	:	:	PUNCT
cana-5492	5	17	15	15	NUM
cana-5492	5	18	-	-	NUM
cana-5492	5	19	02	02	NUM
cana-5492	5	20	-	-	PUNCT
cana-5492	5	21	2025	2025	NUM
cana-5492	5	22	accepted	accept	VERB
cana-5492	5	23	:	:	PUNCT
cana-5492	5	24	01	01	NUM
cana-5492	5	25	-	-	SYM
cana-5492	5	26	03	03	NUM
cana-5492	5	27	-	-	PUNCT
cana-5492	5	28	2025	2025	NUM
cana-5492	5	29	abstract	abstract	NOUN
cana-5492	5	30	:	:	PUNCT
cana-5492	5	31	this	this	DET
cana-5492	5	32	paper	paper	NOUN
cana-5492	5	33	investigates	investigate	VERB
cana-5492	5	34	the	the	DET
cana-5492	5	35	concepts	concept	NOUN
cana-5492	5	36	of	of	ADP
cana-5492	5	37	contra	contra	PROPN
cana-5492	5	38	z	z	PROPN
cana-5492	5	39	-	-	PUNCT
cana-5492	5	40	continuous	continuous	ADJ
cana-5492	5	41	,	,	PUNCT
cana-5492	5	42	contra	contra	PROPN
cana-5492	5	43	zirresolute	zirresolute	PROPN
cana-5492	5	44	,	,	PUNCT
cana-5492	5	45	contra	contra	PROPN
cana-5492	5	46	z	z	PROPN
cana-5492	5	47	-	-	PUNCT
cana-5492	5	48	open	open	ADJ
cana-5492	5	49	and	and	CCONJ
cana-5492	5	50	contra	contra	PROPN
cana-5492	5	51	z	z	PROPN
cana-5492	5	52	-	-	PUNCT
cana-5492	5	53	closed	close	VERB
cana-5492	5	54	maps	map	NOUN
cana-5492	5	55	in	in	ADP
cana-5492	5	56	neutrosophic	neutrosophic	ADJ
cana-5492	5	57	soft	soft	ADJ
cana-5492	5	58	topological	topological	ADJ
cana-5492	5	59	spaces	space	NOUN
cana-5492	5	60	.	.	PUNCT
cana-5492	6	1	we	we	PRON
cana-5492	6	2	also	also	ADV
cana-5492	6	3	explore	explore	VERB
cana-5492	6	4	the	the	DET
cana-5492	6	5	notions	notion	NOUN
cana-5492	6	6	of	of	ADP
cana-5492	6	7	contra	contra	PROPN
cana-5492	6	8	z	z	PROPN
cana-5492	6	9	and	and	CCONJ
cana-5492	6	10	z	z	PROPN
cana-5492	6	11	-	-	PUNCT
cana-5492	6	12	c	c	PROPN
cana-5492	6	13	homeomorphisms	homeomorphisms	PROPN
cana-5492	6	14	.	.	PUNCT
cana-5492	7	1	theoretical	theoretical	ADJ
cana-5492	7	2	results	result	NOUN
cana-5492	7	3	are	be	AUX
cana-5492	7	4	presented	present	VERB
cana-5492	7	5	with	with	ADP
cana-5492	7	6	examples	example	NOUN
cana-5492	7	7	and	and	CCONJ
cana-5492	7	8	theorems	theorem	NOUN
cana-5492	7	9	,	,	PUNCT
cana-5492	7	10	enhancing	enhance	VERB
cana-5492	7	11	the	the	DET
cana-5492	7	12	understanding	understanding	NOUN
cana-5492	7	13	of	of	ADP
cana-5492	7	14	these	these	DET
cana-5492	7	15	mappings	mapping	NOUN
cana-5492	7	16	within	within	ADP
cana-5492	7	17	the	the	DET
cana-5492	7	18	framework	framework	NOUN
cana-5492	7	19	of	of	ADP
cana-5492	7	20	neutrosophic	neutrosophic	ADJ
cana-5492	7	21	soft	soft	ADJ
cana-5492	7	22	topology	topology	NOUN
cana-5492	7	23	.	.	PUNCT
cana-5492	8	1	keywords	keyword	NOUN
cana-5492	8	2	:	:	PUNCT
cana-5492	8	3	contra	contra	PROPN
cana-5492	8	4	z	z	PROPN
cana-5492	8	5	-	-	ADJ
cana-5492	8	6	continuous	continuous	ADJ
cana-5492	8	7	maps	map	NOUN
cana-5492	8	8	,	,	PUNCT
cana-5492	8	9	contra	contra	PROPN
cana-5492	8	10	z	z	PROPN
cana-5492	8	11	-	-	PUNCT
cana-5492	8	12	irresolute	irresolute	ADJ
cana-5492	8	13	maps	map	NOUN
cana-5492	8	14	,	,	PUNCT
cana-5492	8	15	contra	contra	PROPN
cana-5492	8	16	z	z	PROPN
cana-5492	8	17	-	-	PUNCT
cana-5492	8	18	open	open	ADJ
cana-5492	8	19	maps	map	NOUN
cana-5492	8	20	,	,	PUNCT
cana-5492	8	21	contra	contra	PROPN
cana-5492	8	22	z	z	PROPN
cana-5492	8	23	-	-	PUNCT
cana-5492	8	24	closed	close	VERB
cana-5492	8	25	maps	map	NOUN
cana-5492	8	26	,	,	PUNCT
cana-5492	8	27	contra	contra	PROPN
cana-5492	8	28	z	z	PROPN
cana-5492	8	29	homeomorphism	homeomorphism	PROPN
cana-5492	8	30	and	and	CCONJ
cana-5492	8	31	contra	contra	PROPN
cana-5492	8	32	z	z	PROPN
cana-5492	8	33	-	-	PUNCT
cana-5492	8	34	c	c	PROPN
cana-5492	8	35	homeomorphism	homeomorphism	NOUN
cana-5492	8	36	.	.	PUNCT
cana-5492	9	1	1	1	X
cana-5492	9	2	.	.	X
cana-5492	9	3	introduction	introduction	NOUN
cana-5492	9	4	the	the	DET
cana-5492	9	5	foundational	foundational	ADJ
cana-5492	9	6	framework	framework	NOUN
cana-5492	9	7	of	of	ADP
cana-5492	9	8	fuzzy	fuzzy	ADJ
cana-5492	9	9	sets	set	NOUN
cana-5492	9	10	,	,	PUNCT
cana-5492	9	11	introduced	introduce	VERB
cana-5492	9	12	by	by	ADP
cana-5492	9	13	lofti	lofti	ADJ
cana-5492	9	14	a.zadeh	a.zadeh	PROPN
cana-5492	10	1	[	[	X
cana-5492	10	2	20	20	NUM
cana-5492	10	3	]	]	PUNCT
cana-5492	10	4	in	in	ADP
cana-5492	10	5	1965	1965	NUM
cana-5492	10	6	,	,	PUNCT
cana-5492	10	7	offers	offer	VERB
cana-5492	10	8	a	a	DET
cana-5492	10	9	powerful	powerful	ADJ
cana-5492	10	10	mathematical	mathematical	ADJ
cana-5492	10	11	framework	framework	NOUN
cana-5492	10	12	to	to	PART
cana-5492	10	13	handle	handle	VERB
cana-5492	10	14	the	the	DET
cana-5492	10	15	complexities	complexity	NOUN
cana-5492	10	16	that	that	PRON
cana-5492	10	17	arise	arise	VERB
cana-5492	10	18	from	from	ADP
cana-5492	10	19	ambiguity	ambiguity	NOUN
cana-5492	10	20	in	in	ADP
cana-5492	10	21	practical	practical	ADJ
cana-5492	10	22	,	,	PUNCT
cana-5492	10	23	real	real	ADJ
cana-5492	10	24	world	world	NOUN
cana-5492	10	25	scenarios	scenario	NOUN
cana-5492	10	26	.	.	PUNCT
cana-5492	11	1	this	this	DET
cana-5492	11	2	concept	concept	NOUN
cana-5492	11	3	has	have	AUX
cana-5492	11	4	been	be	AUX
cana-5492	11	5	employed	employ	VERB
cana-5492	11	6	across	across	ADP
cana-5492	11	7	various	various	ADJ
cana-5492	11	8	fields	field	NOUN
cana-5492	11	9	,	,	PUNCT
cana-5492	11	10	including	include	VERB
cana-5492	11	11	economics	economic	NOUN
cana-5492	11	12	,	,	PUNCT
cana-5492	11	13	sociology	sociology	NOUN
cana-5492	11	14	and	and	CCONJ
cana-5492	11	15	medical	medical	ADJ
cana-5492	11	16	science	science	NOUN
cana-5492	11	17	,	,	PUNCT
cana-5492	11	18	where	where	SCONJ
cana-5492	11	19	researchers	researcher	NOUN
cana-5492	11	20	frequently	frequently	ADV
cana-5492	11	21	encounter	encounter	VERB
cana-5492	11	22	vague	vague	ADJ
cana-5492	11	23	,	,	PUNCT
cana-5492	11	24	imprecise	imprecise	ADV
cana-5492	11	25	and	and	CCONJ
cana-5492	11	26	occasionally	occasionally	ADV
cana-5492	11	27	incomplete	incomplete	ADJ
cana-5492	11	28	information	information	NOUN
cana-5492	11	29	.	.	PUNCT
cana-5492	12	1	these	these	DET
cana-5492	12	2	fields	field	NOUN
cana-5492	12	3	utilize	utilize	VERB
cana-5492	12	4	fuzzy	fuzzy	ADJ
cana-5492	12	5	sets	set	NOUN
cana-5492	12	6	and	and	CCONJ
cana-5492	12	7	fuzzy	fuzzy	ADJ
cana-5492	12	8	logic	logic	NOUN
cana-5492	12	9	to	to	PART
cana-5492	12	10	model	model	VERB
cana-5492	12	11	uncertain	uncertain	ADJ
cana-5492	12	12	data	datum	NOUN
cana-5492	12	13	for	for	ADP
cana-5492	12	14	a	a	DET
cana-5492	12	15	range	range	NOUN
cana-5492	12	16	of	of	ADP
cana-5492	12	17	specialized	specialized	ADJ
cana-5492	12	18	purposes	purpose	NOUN
cana-5492	12	19	.	.	PUNCT
cana-5492	13	1	standard	standard	ADJ
cana-5492	13	2	fuzzy	fuzzy	ADJ
cana-5492	13	3	sets	set	NOUN
cana-5492	13	4	are	be	AUX
cana-5492	13	5	defined	define	VERB
cana-5492	13	6	by	by	ADP
cana-5492	13	7	their	their	PRON
cana-5492	13	8	membership	membership	NOUN
cana-5492	13	9	value	value	NOUN
cana-5492	13	10	or	or	CCONJ
cana-5492	13	11	degree	degree	NOUN
cana-5492	13	12	of	of	ADP
cana-5492	13	13	membership	membership	NOUN
cana-5492	13	14	,	,	PUNCT
cana-5492	13	15	although	although	SCONJ
cana-5492	13	16	assigning	assign	VERB
cana-5492	13	17	this	this	DET
cana-5492	13	18	value	value	NOUN
cana-5492	13	19	can	can	AUX
cana-5492	13	20	sometimes	sometimes	ADV
cana-5492	13	21	be	be	AUX
cana-5492	13	22	challenging	challenge	VERB
cana-5492	13	23	.	.	PUNCT
cana-5492	14	1	chang	chang	PROPN
cana-5492	15	1	[	[	X
cana-5492	15	2	6	6	NUM
cana-5492	15	3	]	]	PUNCT
cana-5492	15	4	in	in	ADP
cana-5492	15	5	1968	1968	NUM
cana-5492	15	6	introduced	introduce	VERB
cana-5492	15	7	fuzzy	fuzzy	ADJ
cana-5492	15	8	sets	set	NOUN
cana-5492	15	9	into	into	ADP
cana-5492	15	10	topology	topology	NOUN
cana-5492	15	11	under	under	ADP
cana-5492	15	12	the	the	DET
cana-5492	15	13	framework	framework	NOUN
cana-5492	15	14	known	know	VERB
cana-5492	15	15	as	as	ADP
cana-5492	15	16	fuzzy	fuzzy	ADJ
cana-5492	15	17	topological	topological	ADJ
cana-5492	15	18	spaces	space	NOUN
cana-5492	15	19	.	.	PUNCT
cana-5492	16	1	building	build	VERB
cana-5492	16	2	on	on	ADP
cana-5492	16	3	this	this	DET
cana-5492	16	4	foundational	foundational	ADJ
cana-5492	16	5	idea	idea	NOUN
cana-5492	16	6	,	,	PUNCT
cana-5492	16	7	in	in	ADP
cana-5492	16	8	the	the	DET
cana-5492	16	9	1986	1986	NUM
cana-5492	16	10	,	,	PUNCT
cana-5492	16	11	k	k	PROPN
cana-5492	16	12	t.	t.	PROPN
cana-5492	16	13	atanassov	atanassov	PROPN
cana-5492	17	1	[	[	X
cana-5492	17	2	2	2	NUM
cana-5492	17	3	]	]	PUNCT
cana-5492	17	4	introduced	introduce	VERB
cana-5492	17	5	intuitionstic	intuitionstic	ADJ
cana-5492	17	6	fuzzy	fuzzy	ADJ
cana-5492	17	7	sets	set	NOUN
cana-5492	17	8	,	,	PUNCT
cana-5492	17	9	which	which	PRON
cana-5492	17	10	build	build	VERB
cana-5492	17	11	on	on	ADP
cana-5492	17	12	fuzzy	fuzzy	ADJ
cana-5492	17	13	sets	set	NOUN
cana-5492	17	14	by	by	ADP
cana-5492	17	15	including	include	VERB
cana-5492	17	16	a	a	DET
cana-5492	17	17	non	non	ADJ
cana-5492	17	18	-	-	ADJ
cana-5492	17	19	membership	membership	ADJ
cana-5492	17	20	degree	degree	NOUN
cana-5492	17	21	in	in	ADP
cana-5492	17	22	addition	addition	NOUN
cana-5492	17	23	to	to	ADP
cana-5492	17	24	degree	degree	NOUN
cana-5492	17	25	of	of	ADP
cana-5492	17	26	membership	membership	NOUN
cana-5492	17	27	.	.	PUNCT
cana-5492	18	1	coker	coker	NOUN
cana-5492	19	1	[	[	X
cana-5492	19	2	7	7	X
cana-5492	19	3	]	]	PUNCT
cana-5492	19	4	in	in	ADP
cana-5492	19	5	1997	1997	NUM
cana-5492	19	6	introduced	introduce	VERB
cana-5492	19	7	intuitionistic	intuitionistic	ADJ
cana-5492	19	8	fuzzy	fuzzy	ADJ
cana-5492	19	9	sets	set	NOUN
cana-5492	19	10	into	into	ADP
cana-5492	19	11	the	the	DET
cana-5492	19	12	realm	realm	NOUN
cana-5492	19	13	of	of	ADP
cana-5492	19	14	topology	topology	NOUN
cana-5492	19	15	,	,	PUNCT
cana-5492	19	16	defining	define	VERB
cana-5492	19	17	them	they	PRON
cana-5492	19	18	as	as	ADP
cana-5492	19	19	intuitionstic	intuitionstic	ADJ
cana-5492	19	20	fuzzy	fuzzy	ADJ
cana-5492	19	21	topological	topological	ADJ
cana-5492	19	22	spaces	space	NOUN
cana-5492	19	23	.	.	PUNCT
cana-5492	20	1	intuitionistic	intuitionistic	ADJ
cana-5492	20	2	fuzzy	fuzzy	ADJ
cana-5492	20	3	sets	set	NOUN
cana-5492	20	4	are	be	AUX
cana-5492	20	5	limited	limit	VERB
cana-5492	20	6	to	to	ADP
cana-5492	20	7	managing	manage	VERB
cana-5492	20	8	incomplete	incomplete	ADJ
cana-5492	20	9	information	information	NOUN
cana-5492	20	10	by	by	ADP
cana-5492	20	11	considering	consider	VERB
cana-5492	20	12	both	both	CCONJ
cana-5492	20	13	membership	membership	NOUN
cana-5492	20	14	and	and	CCONJ
cana-5492	20	15	non	non	ADJ
cana-5492	20	16	-	-	ADJ
cana-5492	20	17	membership	membership	ADJ
cana-5492	20	18	values	value	NOUN
cana-5492	20	19	.	.	PUNCT
cana-5492	21	1	however	however	ADV
cana-5492	21	2	,	,	PUNCT
cana-5492	21	3	they	they	PRON
cana-5492	21	4	do	do	AUX
cana-5492	21	5	not	not	PART
cana-5492	21	6	address	address	VERB
cana-5492	21	7	uncertain	uncertain	ADJ
cana-5492	21	8	and	and	CCONJ
cana-5492	21	9	contradictory	contradictory	ADJ
cana-5492	21	10	information	information	NOUN
cana-5492	21	11	often	often	ADV
cana-5492	21	12	found	find	VERB
cana-5492	21	13	in	in	ADP
cana-5492	21	14	belief	belief	NOUN
cana-5492	21	15	systems	system	NOUN
cana-5492	21	16	.	.	PUNCT
cana-5492	22	1	to	to	PART
cana-5492	22	2	tackle	tackle	VERB
cana-5492	22	3	these	these	DET
cana-5492	22	4	issues	issue	NOUN
cana-5492	22	5	,	,	PUNCT
cana-5492	22	6	florentin	florentin	NOUN
cana-5492	22	7	smarandache	smarandache	NOUN
cana-5492	23	1	[	[	X
cana-5492	23	2	17	17	NUM
cana-5492	23	3	]	]	PUNCT
cana-5492	23	4	introduced	introduce	VERB
cana-5492	23	5	the	the	DET
cana-5492	23	6	concept	concept	NOUN
cana-5492	23	7	of	of	ADP
cana-5492	23	8	neutrosophic	neutrosophic	ADJ
cana-5492	23	9	set	set	NOUN
cana-5492	23	10	in	in	ADP
cana-5492	23	11	2005	2005	NUM
cana-5492	23	12	,	,	PUNCT
cana-5492	23	13	which	which	PRON
cana-5492	23	14	serves	serve	VERB
cana-5492	23	15	as	as	ADP
cana-5492	23	16	a	a	DET
cana-5492	23	17	mathematical	mathematical	ADJ
cana-5492	23	18	framework	framework	NOUN
cana-5492	23	19	for	for	ADP
cana-5492	23	20	dealing	deal	VERB
cana-5492	23	21	with	with	ADP
cana-5492	23	22	imprecise	imprecise	ADV
cana-5492	23	23	,	,	PUNCT
cana-5492	23	24	indeterminate	indeterminate	ADJ
cana-5492	23	25	,	,	PUNCT
cana-5492	23	26	and	and	CCONJ
cana-5492	23	27	inconsistent	inconsistent	ADJ
cana-5492	23	28	data	datum	NOUN
cana-5492	23	29	.	.	PUNCT
cana-5492	24	1	in	in	ADP
cana-5492	24	2	2012	2012	NUM
cana-5492	24	3	,	,	PUNCT
cana-5492	24	4	salama	salama	NOUN
cana-5492	24	5	and	and	CCONJ
cana-5492	24	6	alblowi	alblowi	NOUN
cana-5492	24	7	[	[	X
cana-5492	24	8	14	14	NUM
cana-5492	24	9	]	]	PUNCT
cana-5492	24	10	proposed	propose	VERB
cana-5492	24	11	the	the	DET
cana-5492	24	12	concept	concept	NOUN
cana-5492	24	13	of	of	ADP
cana-5492	24	14	neutrosophic	neutrosophic	ADJ
cana-5492	24	15	topological	topological	ADJ
cana-5492	24	16	spaces	space	NOUN
cana-5492	24	17	.	.	PUNCT
cana-5492	25	1	in	in	ADP
cana-5492	25	2	1999	1999	NUM
cana-5492	25	3	,	,	PUNCT
cana-5492	25	4	molodstov	molodstov	PROPN
cana-5492	25	5	[	[	X
cana-5492	25	6	12	12	NUM
cana-5492	25	7	]	]	PUNCT
cana-5492	25	8	initiated	initiate	VERB
cana-5492	25	9	the	the	DET
cana-5492	25	10	soft	soft	ADJ
cana-5492	25	11	set	set	ADJ
cana-5492	25	12	principle	principle	NOUN
cana-5492	25	13	as	as	ADP
cana-5492	25	14	a	a	DET
cana-5492	25	15	versatile	versatile	ADJ
cana-5492	25	16	mathematical	mathematical	ADJ
cana-5492	25	17	approach	approach	NOUN
cana-5492	25	18	that	that	PRON
cana-5492	25	19	addresses	address	VERB
cana-5492	25	20	parameterization	parameterization	NOUN
cana-5492	25	21	issues	issue	NOUN
cana-5492	25	22	and	and	CCONJ
cana-5492	25	23	surpasses	surpass	VERB
cana-5492	25	24	the	the	DET
cana-5492	25	25	limitations	limitation	NOUN
cana-5492	25	26	of	of	ADP
cana-5492	25	27	other	other	ADJ
cana-5492	25	28	uncertainty	uncertainty	NOUN
cana-5492	25	29	theories	theory	NOUN
cana-5492	25	30	.	.	PUNCT
cana-5492	26	1	this	this	DET
cana-5492	26	2	theory	theory	NOUN
cana-5492	26	3	is	be	AUX
cana-5492	26	4	highly	highly	ADV
cana-5492	26	5	practical	practical	ADJ
cana-5492	26	6	,	,	PUNCT
cana-5492	26	7	efficient	efficient	ADJ
cana-5492	26	8	and	and	CCONJ
cana-5492	26	9	widely	widely	ADV
cana-5492	26	10	applicable	applicable	ADJ
cana-5492	26	11	across	across	ADP
cana-5492	26	12	different	different	ADJ
cana-5492	26	13	disciplines	discipline	NOUN
cana-5492	26	14	.	.	PUNCT
cana-5492	27	1	molodstov	molodstov	PROPN
cana-5492	27	2	's	's	PART
cana-5492	27	3	implementations	implementation	NOUN
cana-5492	27	4	of	of	ADP
cana-5492	27	5	soft	soft	ADJ
cana-5492	27	6	set	set	ADJ
cana-5492	27	7	principle	principle	NOUN
cana-5492	27	8	include	include	VERB
cana-5492	27	9	domains	domain	NOUN
cana-5492	27	10	such	such	ADJ
cana-5492	27	11	as	as	ADP
cana-5492	27	12	function	function	NOUN
cana-5492	27	13	mailto:madhunika2020@gmail.com	mailto:madhunika2020@gmail.com	X
cana-5492	27	14	communications	communication	NOUN
cana-5492	27	15	on	on	ADP
cana-5492	27	16	applied	apply	VERB
cana-5492	27	17	nonlinear	nonlinear	ADJ
cana-5492	27	18	analysis	analysis	NOUN
cana-5492	27	19	issn	issn	NOUN
cana-5492	27	20	:	:	PUNCT
cana-5492	27	21	1074	1074	NUM
cana-5492	27	22	-	-	PUNCT
cana-5492	27	23	133x	133x	NUM
cana-5492	27	24	vol	vol	VERB
cana-5492	27	25	32	32	NUM
cana-5492	27	26	no	no	NOUN
cana-5492	27	27	.	.	PUNCT
cana-5492	27	28	10s	10	NOUN
cana-5492	27	29	(	(	PUNCT
cana-5492	27	30	2025	2025	NUM
cana-5492	27	31	)	)	PUNCT
cana-5492	27	32	2443	2443	NUM
cana-5492	27	33	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	27	34	analysis	analysis	NOUN
cana-5492	27	35	,	,	PUNCT
cana-5492	27	36	decision	decision	NOUN
cana-5492	27	37	making	making	NOUN
cana-5492	27	38	,	,	PUNCT
cana-5492	27	39	operational	operational	ADJ
cana-5492	27	40	research	research	NOUN
cana-5492	27	41	and	and	CCONJ
cana-5492	27	42	integrative	integrative	ADJ
cana-5492	27	43	mathematics	mathematic	NOUN
cana-5492	27	44	among	among	ADP
cana-5492	27	45	others	other	NOUN
cana-5492	27	46	.	.	PUNCT
cana-5492	28	1	as	as	ADP
cana-5492	28	2	a	a	DET
cana-5492	28	3	result	result	NOUN
cana-5492	28	4	,	,	PUNCT
cana-5492	28	5	soft	soft	ADJ
cana-5492	28	6	set	set	NOUN
cana-5492	28	7	theory	theory	NOUN
cana-5492	28	8	has	have	AUX
cana-5492	28	9	gained	gain	VERB
cana-5492	28	10	significant	significant	ADJ
cana-5492	28	11	traction	traction	NOUN
cana-5492	28	12	and	and	CCONJ
cana-5492	28	13	continuous	continuous	ADJ
cana-5492	28	14	to	to	PART
cana-5492	28	15	advance	advance	VERB
cana-5492	28	16	rapidly	rapidly	ADV
cana-5492	28	17	in	in	ADP
cana-5492	28	18	diverse	diverse	ADJ
cana-5492	28	19	fields	field	NOUN
cana-5492	28	20	.	.	PUNCT
cana-5492	29	1	in	in	ADP
cana-5492	29	2	2011	2011	NUM
cana-5492	29	3	,	,	PUNCT
cana-5492	29	4	shabir	shabir	NOUN
cana-5492	29	5	and	and	CCONJ
cana-5492	29	6	naz	naz	PROPN
cana-5492	30	1	[	[	X
cana-5492	30	2	16	16	NUM
cana-5492	30	3	]	]	PUNCT
cana-5492	30	4	initiated	initiate	VERB
cana-5492	30	5	the	the	DET
cana-5492	30	6	notion	notion	NOUN
cana-5492	30	7	of	of	ADP
cana-5492	30	8	soft	soft	ADJ
cana-5492	30	9	topological	topological	ADJ
cana-5492	30	10	spaces	space	NOUN
cana-5492	30	11	.	.	PUNCT
cana-5492	31	1	subsequently	subsequently	ADV
cana-5492	31	2	,	,	PUNCT
cana-5492	31	3	in	in	ADP
cana-5492	31	4	2013	2013	NUM
cana-5492	31	5	maji	maji	NOUN
cana-5492	31	6	[	[	X
cana-5492	31	7	10	10	NUM
cana-5492	31	8	]	]	PUNCT
cana-5492	31	9	introduced	introduce	VERB
cana-5492	31	10	the	the	DET
cana-5492	31	11	neutrosophic	neutrosophic	ADJ
cana-5492	31	12	soft	soft	ADJ
cana-5492	31	13	set	set	NOUN
cana-5492	31	14	concept	concept	NOUN
cana-5492	31	15	,	,	PUNCT
cana-5492	31	16	which	which	PRON
cana-5492	31	17	inspired	inspire	VERB
cana-5492	31	18	numerous	numerous	ADJ
cana-5492	31	19	mathematicians	mathematician	NOUN
cana-5492	31	20	to	to	PART
cana-5492	31	21	explore	explore	VERB
cana-5492	31	22	its	its	PRON
cana-5492	31	23	applications	application	NOUN
cana-5492	31	24	in	in	ADP
cana-5492	31	25	various	various	ADJ
cana-5492	31	26	mathematical	mathematical	ADJ
cana-5492	31	27	frameworks	framework	NOUN
cana-5492	31	28	.	.	PUNCT
cana-5492	32	1	modification	modification	NOUN
cana-5492	32	2	by	by	ADP
cana-5492	32	3	deli	deli	NOUN
cana-5492	32	4	and	and	CCONJ
cana-5492	32	5	broumi	broumi	NOUN
cana-5492	32	6	[	[	X
cana-5492	32	7	8	8	NUM
cana-5492	32	8	]	]	PUNCT
cana-5492	32	9	further	far	ADV
cana-5492	32	10	refined	refine	VERB
cana-5492	32	11	this	this	DET
cana-5492	32	12	framework	framework	NOUN
cana-5492	32	13	,	,	PUNCT
cana-5492	32	14	while	while	SCONJ
cana-5492	32	15	bera	bera	NOUN
cana-5492	32	16	and	and	CCONJ
cana-5492	32	17	mahapatra	mahapatra	NOUN
cana-5492	33	1	[	[	X
cana-5492	33	2	3	3	NUM
cana-5492	33	3	]	]	PUNCT
cana-5492	33	4	explored	explore	VERB
cana-5492	33	5	its	its	PRON
cana-5492	33	6	algebric	algebric	ADJ
cana-5492	33	7	structures	structure	NOUN
cana-5492	33	8	.	.	PUNCT
cana-5492	34	1	in	in	ADP
cana-5492	34	2	2011	2011	NUM
cana-5492	34	3	,	,	PUNCT
cana-5492	34	4	a.	a.	PROPN
cana-5492	34	5	i.	i.	PROPN
cana-5492	34	6	ei	ei	PROPN
cana-5492	34	7	-	-	PUNCT
cana-5492	34	8	magharabi	magharabi	NOUN
cana-5492	34	9	and	and	CCONJ
cana-5492	34	10	a.	a.	NOUN
cana-5492	34	11	m.	m.	NOUN
cana-5492	34	12	mubarki	mubarki	NOUN
cana-5492	35	1	[	[	X
cana-5492	35	2	9	9	NUM
cana-5492	35	3	]	]	PUNCT
cana-5492	35	4	introduced	introduce	VERB
cana-5492	35	5	z	z	NOUN
cana-5492	35	6	-	-	ADJ
cana-5492	35	7	open	open	ADJ
cana-5492	35	8	sets	set	NOUN
cana-5492	35	9	in	in	ADP
cana-5492	35	10	topological	topological	ADJ
cana-5492	35	11	spaces	space	NOUN
cana-5492	35	12	.	.	PUNCT
cana-5492	36	1	in	in	ADP
cana-5492	36	2	2020	2020	NUM
cana-5492	36	3	,	,	PUNCT
cana-5492	36	4	a.	a.	NOUN
cana-5492	36	5	vadivel	vadivel	NOUN
cana-5492	36	6	et	et	PROPN
cana-5492	36	7	al	al	PROPN
cana-5492	37	1	[	[	X
cana-5492	37	2	18	18	NUM
cana-5492	37	3	]	]	PUNCT
cana-5492	37	4	proposed	propose	VERB
cana-5492	37	5	z	z	ADJ
cana-5492	37	6	-	-	ADJ
cana-5492	37	7	open	open	ADJ
cana-5492	37	8	sets	set	NOUN
cana-5492	37	9	in	in	ADP
cana-5492	37	10	neutrosophic	neutrosophic	ADJ
cana-5492	37	11	topological	topological	ADJ
cana-5492	37	12	spaces	space	NOUN
cana-5492	37	13	.	.	PUNCT
cana-5492	38	1	this	this	DET
cana-5492	38	2	paper	paper	NOUN
cana-5492	38	3	primarily	primarily	ADV
cana-5492	38	4	aims	aim	VERB
cana-5492	38	5	to	to	PART
cana-5492	38	6	introduce	introduce	VERB
cana-5492	38	7	and	and	CCONJ
cana-5492	38	8	explore	explore	VERB
cana-5492	38	9	the	the	DET
cana-5492	38	10	concepts	concept	NOUN
cana-5492	38	11	of	of	ADP
cana-5492	38	12	contra	contra	PROPN
cana-5492	38	13	z	z	PROPN
cana-5492	38	14	-	-	ADJ
cana-5492	38	15	continuous	continuous	ADJ
cana-5492	38	16	maps	map	NOUN
cana-5492	38	17	,	,	PUNCT
cana-5492	38	18	contra	contra	PROPN
cana-5492	38	19	z	z	PROPN
cana-5492	38	20	-	-	PUNCT
cana-5492	38	21	irresolute	irresolute	ADJ
cana-5492	38	22	maps	map	NOUN
cana-5492	38	23	,	,	PUNCT
cana-5492	38	24	contra	contra	PROPN
cana-5492	38	25	z	z	PROPN
cana-5492	38	26	-	-	PUNCT
cana-5492	38	27	open	open	ADJ
cana-5492	38	28	maps	map	NOUN
cana-5492	38	29	,	,	PUNCT
cana-5492	38	30	and	and	CCONJ
cana-5492	38	31	contra	contra	PROPN
cana-5492	38	32	z	z	PROPN
cana-5492	38	33	-	-	PUNCT
cana-5492	38	34	closed	close	VERB
cana-5492	38	35	maps	map	NOUN
cana-5492	38	36	in	in	ADP
cana-5492	38	37	neutrosophic	neutrosophic	ADJ
cana-5492	38	38	soft	soft	ADJ
cana-5492	38	39	topological	topological	ADJ
cana-5492	38	40	spaces	space	NOUN
cana-5492	38	41	,	,	PUNCT
cana-5492	38	42	using	use	VERB
cana-5492	38	43	neutrosophic	neutrosophic	ADJ
cana-5492	38	44	soft	soft	ADJ
cana-5492	38	45	z	z	NOUN
cana-5492	38	46	-	-	PUNCT
cana-5492	38	47	open	open	ADJ
cana-5492	38	48	sets	set	NOUN
cana-5492	38	49	.	.	PUNCT
cana-5492	39	1	we	we	PRON
cana-5492	39	2	analyze	analyze	VERB
cana-5492	39	3	and	and	CCONJ
cana-5492	39	4	discuss	discuss	VERB
cana-5492	39	5	their	their	PRON
cana-5492	39	6	fundamental	fundamental	ADJ
cana-5492	39	7	properties	property	NOUN
cana-5492	39	8	,	,	PUNCT
cana-5492	39	9	along	along	ADP
cana-5492	39	10	with	with	ADP
cana-5492	39	11	the	the	DET
cana-5492	39	12	notions	notion	NOUN
cana-5492	39	13	of	of	ADP
cana-5492	39	14	contra	contra	PROPN
cana-5492	39	15	z	z	PROPN
cana-5492	39	16	homeomorphisms	homeomorphisms	PROPN
cana-5492	39	17	and	and	CCONJ
cana-5492	39	18	z	z	PROPN
cana-5492	39	19	-	-	PUNCT
cana-5492	39	20	c	c	PROPN
cana-5492	39	21	homeomorphisms	homeomorphisms	PROPN
cana-5492	39	22	,	,	PUNCT
cana-5492	39	23	providing	provide	VERB
cana-5492	39	24	examples	example	NOUN
cana-5492	39	25	and	and	CCONJ
cana-5492	39	26	theorems	theorem	NOUN
cana-5492	39	27	that	that	PRON
cana-5492	39	28	contribute	contribute	VERB
cana-5492	39	29	to	to	ADP
cana-5492	39	30	further	further	ADJ
cana-5492	39	31	research	research	NOUN
cana-5492	39	32	in	in	ADP
cana-5492	39	33	neutrosophic	neutrosophic	ADJ
cana-5492	39	34	soft	soft	ADJ
cana-5492	39	35	topology	topology	NOUN
cana-5492	39	36	.	.	PUNCT
cana-5492	40	1	2	2	X
cana-5492	40	2	.	.	X
cana-5492	40	3	preliminaries	preliminary	NOUN
cana-5492	40	4	this	this	DET
cana-5492	40	5	section	section	NOUN
cana-5492	40	6	offers	offer	VERB
cana-5492	40	7	a	a	DET
cana-5492	40	8	summary	summary	NOUN
cana-5492	40	9	of	of	ADP
cana-5492	40	10	essential	essential	ADJ
cana-5492	40	11	definitions	definition	NOUN
cana-5492	40	12	refers	refer	VERB
cana-5492	40	13	to	to	ADP
cana-5492	40	14	neutrosophic	neutrosophic	ADJ
cana-5492	40	15	sets	set	NOUN
cana-5492	40	16	,	,	PUNCT
cana-5492	40	17	soft	soft	ADJ
cana-5492	40	18	sets	set	NOUN
cana-5492	40	19	and	and	CCONJ
cana-5492	40	20	neutrosophic	neutrosophic	ADJ
cana-5492	40	21	soft	soft	ADJ
cana-5492	40	22	sets	set	NOUN
cana-5492	40	23	to	to	PART
cana-5492	40	24	ensure	ensure	VERB
cana-5492	40	25	thorough	thorough	ADJ
cana-5492	40	26	understanding	understanding	NOUN
cana-5492	40	27	.	.	PUNCT
cana-5492	41	1	definition	definition	NOUN
cana-5492	41	2	2.1	2.1	NUM
cana-5492	42	1	[	[	SYM
cana-5492	42	2	15	15	NUM
cana-5492	42	3	]	]	PUNCT
cana-5492	42	4	let	let	VERB
cana-5492	42	5	𝕎	𝕎	PRON
cana-5492	42	6	be	be	AUX
cana-5492	42	7	an	an	DET
cana-5492	42	8	underlying	underlie	VERB
cana-5492	42	9	universe	universe	NOUN
cana-5492	42	10	.	.	PUNCT
cana-5492	43	1	a	a	DET
cana-5492	43	2	neutrosophic	neutrosophic	ADJ
cana-5492	43	3	set	set	NOUN
cana-5492	43	4	(	(	PUNCT
cana-5492	43	5	in	in	ADP
cana-5492	43	6	short	short	ADJ
cana-5492	43	7	,	,	PUNCT
cana-5492	43	8	ns	ns	NUM
cana-5492	43	9	)	)	PUNCT
cana-5492	43	10	d	d	NOUN
cana-5492	43	11	is	be	AUX
cana-5492	43	12	an	an	DET
cana-5492	43	13	object	object	NOUN
cana-5492	43	14	having	have	VERB
cana-5492	43	15	the	the	DET
cana-5492	43	16	form	form	NOUN
cana-5492	44	1	d	d	NOUN
cana-5492	44	2	=	=	PUNCT
cana-5492	44	3	{	{	PUNCT
cana-5492	44	4	〈	〈	PROPN
cana-5492	44	5	𝑤	𝑤	PROPN
cana-5492	44	6	,	,	PUNCT
cana-5492	44	7	𝜇𝐷(𝑤	𝜇𝐷(𝑤	NUM
cana-5492	44	8	)	)	PUNCT
cana-5492	44	9	,	,	PUNCT
cana-5492	44	10	𝜎𝐷(𝑤	𝜎𝐷(𝑤	NOUN
cana-5492	44	11	)	)	PUNCT
cana-5492	44	12	,	,	PUNCT
cana-5492	44	13	𝜈𝐷(𝑤	𝜈𝐷(𝑤	X
cana-5492	44	14	)	)	PUNCT
cana-5492	44	15	〉	〉	NOUN
cana-5492	44	16	∶	∶	NOUN
cana-5492	44	17	𝑤	𝑤	ADP
cana-5492	44	18	∈	∈	PROPN
cana-5492	44	19	𝕎	𝕎	PROPN
cana-5492	44	20	}	}	PUNCT
cana-5492	44	21	where	where	SCONJ
cana-5492	44	22	𝜇𝐷	𝜇𝐷	PROPN
cana-5492	44	23	→	→	PUNCT
cana-5492	45	1	[	[	X
cana-5492	45	2	0	0	NUM
cana-5492	45	3	,	,	PUNCT
cana-5492	45	4	1	1	NUM
cana-5492	45	5	]	]	PUNCT
cana-5492	45	6	denote	denote	VERB
cana-5492	45	7	the	the	DET
cana-5492	45	8	degree	degree	NOUN
cana-5492	45	9	of	of	ADP
cana-5492	45	10	membership	membership	NOUN
cana-5492	45	11	function	function	NOUN
cana-5492	45	12	,	,	PUNCT
cana-5492	45	13	𝜎𝐷	𝜎𝐷	PROPN
cana-5492	45	14	→	→	SYM
cana-5492	46	1	[	[	X
cana-5492	46	2	0	0	NUM
cana-5492	46	3	,	,	PUNCT
cana-5492	46	4	1	1	NUM
cana-5492	46	5	]	]	PUNCT
cana-5492	46	6	denote	denote	VERB
cana-5492	46	7	the	the	DET
cana-5492	46	8	degree	degree	NOUN
cana-5492	46	9	of	of	ADP
cana-5492	46	10	inderterminacy	inderterminacy	NOUN
cana-5492	46	11	function	function	NOUN
cana-5492	46	12	and	and	CCONJ
cana-5492	46	13	𝜈𝐷	𝜈𝐷	NOUN
cana-5492	46	14	→	→	PUNCT
cana-5492	47	1	[	[	X
cana-5492	47	2	0	0	NUM
cana-5492	47	3	,	,	PUNCT
cana-5492	47	4	1	1	NUM
cana-5492	47	5	]	]	PUNCT
cana-5492	47	6	denote	denote	VERB
cana-5492	47	7	the	the	DET
cana-5492	47	8	degree	degree	NOUN
cana-5492	47	9	of	of	ADP
cana-5492	47	10	non	non	ADJ
cana-5492	47	11	-	-	ADJ
cana-5492	47	12	membership	membership	ADJ
cana-5492	47	13	function	function	NOUN
cana-5492	47	14	respectively	respectively	ADV
cana-5492	47	15	of	of	ADP
cana-5492	47	16	each	each	DET
cana-5492	47	17	element	element	NOUN
cana-5492	47	18	𝑤	𝑤	ADP
cana-5492	47	19	∈	∈	PROPN
cana-5492	47	20	𝕎	𝕎	PROPN
cana-5492	47	21	to	to	ADP
cana-5492	47	22	the	the	DET
cana-5492	47	23	set	set	PROPN
cana-5492	47	24	d	d	NOUN
cana-5492	47	25	and	and	CCONJ
cana-5492	47	26	0	0	NUM
cana-5492	47	27	≤	≤	NUM
cana-5492	47	28	𝜇𝐷(𝑤	𝜇𝐷(𝑤	NUM
cana-5492	47	29	)	)	PUNCT
cana-5492	47	30	+	+	CCONJ
cana-5492	48	1	𝜎𝐷(𝑤	𝜎𝐷(𝑤	X
cana-5492	48	2	)	)	PUNCT
cana-5492	48	3	+	+	CCONJ
cana-5492	48	4	𝜈𝐷(𝑤	𝜈𝐷(𝑤	X
cana-5492	48	5	)	)	PUNCT
cana-5492	48	6	≤	≤	NOUN
cana-5492	48	7	3	3	NUM
cana-5492	48	8	for	for	ADP
cana-5492	48	9	each	each	DET
cana-5492	48	10	𝑤	𝑤	ADP
cana-5492	48	11	∈	∈	NOUN
cana-5492	48	12	𝕎.	𝕎.	PROPN
cana-5492	48	13	definition	definition	NOUN
cana-5492	48	14	2.2	2.2	NUM
cana-5492	49	1	[	[	SYM
cana-5492	49	2	12	12	NUM
cana-5492	49	3	]	]	PUNCT
cana-5492	49	4	assume	assume	VERB
cana-5492	49	5	that	that	SCONJ
cana-5492	49	6	𝕎	𝕎	PROPN
cana-5492	49	7	is	be	AUX
cana-5492	49	8	the	the	DET
cana-5492	49	9	underlying	underlie	VERB
cana-5492	49	10	universe	universe	NOUN
cana-5492	49	11	&	&	CCONJ
cana-5492	49	12	let	let	VERB
cana-5492	49	13	𝜚	𝜚	NOUN
cana-5492	49	14	is	be	AUX
cana-5492	49	15	a	a	DET
cana-5492	49	16	parameter	parameter	NOUN
cana-5492	49	17	set	set	NOUN
cana-5492	49	18	.	.	PUNCT
cana-5492	50	1	let	let	AUX
cana-5492	50	2	𝒫(𝕎	𝒫(𝕎	NUM
cana-5492	50	3	)	)	PUNCT
cana-5492	50	4	represent	represent	VERB
cana-5492	50	5	the	the	DET
cana-5492	50	6	collection	collection	NOUN
cana-5492	50	7	of	of	ADP
cana-5492	50	8	all	all	DET
cana-5492	50	9	neutrosophic	neutrosophic	ADJ
cana-5492	50	10	sets	set	NOUN
cana-5492	50	11	within	within	ADP
cana-5492	50	12	𝕎.	𝕎.	PROPN
cana-5492	50	13	a	a	DET
cana-5492	50	14	pair	pair	NOUN
cana-5492	50	15	(	(	PUNCT
cana-5492	50	16	d	d	NOUN
cana-5492	50	17	,	,	PUNCT
cana-5492	50	18	𝜚	𝜚	NOUN
cana-5492	50	19	)	)	PUNCT
cana-5492	50	20	is	be	AUX
cana-5492	50	21	known	know	VERB
cana-5492	50	22	as	as	ADP
cana-5492	50	23	the	the	DET
cana-5492	50	24	soft	soft	ADJ
cana-5492	50	25	set(shortly	set(shortly	ADV
cana-5492	50	26	,	,	PUNCT
cana-5492	50	27	ss	ss	NOUN
cana-5492	50	28	)	)	PUNCT
cana-5492	50	29	over	over	ADP
cana-5492	50	30	𝕎	𝕎	PROPN
cana-5492	50	31	,	,	PUNCT
cana-5492	50	32	where	where	SCONJ
cana-5492	50	33	d	d	NOUN
cana-5492	50	34	is	be	AUX
cana-5492	50	35	a	a	DET
cana-5492	50	36	mapping	mapping	NOUN
cana-5492	50	37	d	d	NOUN
cana-5492	50	38	:	:	PUNCT
cana-5492	50	39	𝜚	𝜚	NOUN
cana-5492	50	40	→	→	SYM
cana-5492	50	41	𝒫(𝕎	𝒫(𝕎	PROPN
cana-5492	50	42	)	)	PUNCT
cana-5492	50	43	.	.	PUNCT
cana-5492	51	1	in	in	ADP
cana-5492	51	2	other	other	ADJ
cana-5492	51	3	terms	term	NOUN
cana-5492	51	4	,	,	PUNCT
cana-5492	51	5	a	a	DET
cana-5492	51	6	soft	soft	ADJ
cana-5492	51	7	set	set	NOUN
cana-5492	51	8	can	can	AUX
cana-5492	51	9	be	be	AUX
cana-5492	51	10	viewed	view	VERB
cana-5492	51	11	as	as	ADP
cana-5492	51	12	a	a	DET
cana-5492	51	13	collection	collection	NOUN
cana-5492	51	14	of	of	ADP
cana-5492	51	15	subsets	subset	NOUN
cana-5492	51	16	of	of	ADP
cana-5492	51	17	the	the	DET
cana-5492	51	18	set	set	ADJ
cana-5492	51	19	𝕎	𝕎	PROPN
cana-5492	51	20	,	,	PUNCT
cana-5492	51	21	each	each	PRON
cana-5492	51	22	associated	associate	VERB
cana-5492	51	23	with	with	ADP
cana-5492	51	24	a	a	DET
cana-5492	51	25	specific	specific	ADJ
cana-5492	51	26	parameter	parameter	NOUN
cana-5492	51	27	.	.	PUNCT
cana-5492	52	1	definition	definition	NOUN
cana-5492	52	2	2.3	2.3	NUM
cana-5492	52	3	[	[	SYM
cana-5492	52	4	8	8	NUM
cana-5492	52	5	]	]	PUNCT
cana-5492	52	6	assume	assume	VERB
cana-5492	52	7	that	that	SCONJ
cana-5492	52	8	𝕎	𝕎	PROPN
cana-5492	52	9	is	be	AUX
cana-5492	52	10	the	the	DET
cana-5492	52	11	underlying	underlie	VERB
cana-5492	52	12	universe	universe	NOUN
cana-5492	52	13	&	&	CCONJ
cana-5492	52	14	let	let	VERB
cana-5492	52	15	𝜚	𝜚	NOUN
cana-5492	52	16	is	be	AUX
cana-5492	52	17	a	a	DET
cana-5492	52	18	parameter	parameter	NOUN
cana-5492	52	19	set	set	NOUN
cana-5492	52	20	.	.	PUNCT
cana-5492	53	1	let	let	AUX
cana-5492	53	2	𝒫(𝕎	𝒫(𝕎	NUM
cana-5492	53	3	)	)	PUNCT
cana-5492	53	4	represent	represent	VERB
cana-5492	53	5	the	the	DET
cana-5492	53	6	collection	collection	NOUN
cana-5492	53	7	of	of	ADP
cana-5492	53	8	all	all	DET
cana-5492	53	9	neutrosophic	neutrosophic	ADJ
cana-5492	53	10	sets	set	NOUN
cana-5492	53	11	within	within	ADP
cana-5492	53	12	𝕎.	𝕎.	PROPN
cana-5492	53	13	then	then	ADV
cana-5492	53	14	a	a	DET
cana-5492	53	15	neutrosophic	neutrosophic	ADJ
cana-5492	53	16	soft	soft	ADJ
cana-5492	53	17	set	set	NOUN
cana-5492	53	18	(	(	PUNCT
cana-5492	53	19	𝑆	𝑆	PROPN
cana-5492	53	20	,	,	PUNCT
cana-5492	53	21	𝜚	𝜚	NOUN
cana-5492	53	22	)	)	PUNCT
cana-5492	53	23	over	over	ADP
cana-5492	53	24	𝕎	𝕎	PROPN
cana-5492	53	25	(	(	PUNCT
cana-5492	53	26	shortly	shortly	ADV
cana-5492	53	27	,	,	PUNCT
cana-5492	53	28	nss	ns	NOUN
cana-5492	53	29	)	)	PUNCT
cana-5492	53	30	is	be	AUX
cana-5492	53	31	characterized	characterize	VERB
cana-5492	53	32	by	by	ADP
cana-5492	53	33	(	(	PUNCT
cana-5492	53	34	𝑆	𝑆	PROPN
cana-5492	53	35	,	,	PUNCT
cana-5492	53	36	𝜚	𝜚	NOUN
cana-5492	53	37	)	)	PUNCT
cana-5492	54	1	=	=	SYM
cana-5492	54	2	{	{	PUNCT
cana-5492	54	3	(	(	PUNCT
cana-5492	54	4	𝜑	𝜑	NOUN
cana-5492	54	5	,	,	PUNCT
cana-5492	54	6	〈	〈	PROPN
cana-5492	54	7	휀	휀	NOUN
cana-5492	54	8	,	,	PUNCT
cana-5492	54	9	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	54	10	)	)	PUNCT
cana-5492	54	11	,	,	PUNCT
cana-5492	54	12	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	54	13	)	)	PUNCT
cana-5492	54	14	,	,	PUNCT
cana-5492	54	15	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	54	16	)	)	PUNCT
cana-5492	54	17	〉	〉	NOUN
cana-5492	54	18	∶	∶	NOUN
cana-5492	54	19	휀	휀	NOUN
cana-5492	54	20	∈	∈	PROPN
cana-5492	54	21	𝕎	𝕎	PROPN
cana-5492	54	22	)	)	PUNCT
cana-5492	54	23	∶	∶	NOUN
cana-5492	54	24	𝜑	𝜑	X
cana-5492	54	25	∈	∈	PROPN
cana-5492	54	26	𝜚	𝜚	NOUN
cana-5492	54	27	}	}	PUNCT
cana-5492	54	28	,	,	PUNCT
cana-5492	54	29	where	where	SCONJ
cana-5492	54	30	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	54	31	)	)	PUNCT
cana-5492	54	32	,	,	PUNCT
cana-5492	54	33	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	54	34	)	)	PUNCT
cana-5492	54	35	,	,	PUNCT
cana-5492	54	36	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	54	37	)	)	PUNCT
cana-5492	54	38	∈	∈	PROPN
cana-5492	55	1	[	[	X
cana-5492	55	2	0	0	NUM
cana-5492	55	3	,	,	PUNCT
cana-5492	55	4	1	1	NUM
cana-5492	55	5	]	]	PUNCT
cana-5492	55	6	are	be	AUX
cana-5492	55	7	respectively	respectively	ADV
cana-5492	55	8	called	call	VERB
cana-5492	55	9	the	the	DET
cana-5492	55	10	degree	degree	NOUN
cana-5492	55	11	of	of	ADP
cana-5492	55	12	membership	membership	NOUN
cana-5492	55	13	function	function	NOUN
cana-5492	55	14	,	,	PUNCT
cana-5492	55	15	the	the	DET
cana-5492	55	16	degree	degree	NOUN
cana-5492	55	17	of	of	ADP
cana-5492	55	18	indeterminacy	indeterminacy	NOUN
cana-5492	55	19	function	function	NOUN
cana-5492	55	20	and	and	CCONJ
cana-5492	55	21	the	the	DET
cana-5492	55	22	degree	degree	NOUN
cana-5492	55	23	of	of	ADP
cana-5492	55	24	non	non	ADJ
cana-5492	55	25	-	-	ADJ
cana-5492	55	26	membership	membership	ADJ
cana-5492	55	27	function	function	NOUN
cana-5492	55	28	of	of	ADP
cana-5492	55	29	𝑆(𝜑	𝑆(𝜑	NOUN
cana-5492	55	30	)	)	PUNCT
cana-5492	55	31	.	.	PUNCT
cana-5492	56	1	as	as	ADP
cana-5492	56	2	the	the	DET
cana-5492	56	3	maximum	maximum	ADJ
cana-5492	56	4	value	value	NOUN
cana-5492	56	5	for	for	ADP
cana-5492	56	6	each	each	PRON
cana-5492	56	7	of	of	ADP
cana-5492	56	8	𝜇	𝜇	ADP
cana-5492	56	9	,	,	PUNCT
cana-5492	56	10	𝜎	𝜎	PROPN
cana-5492	56	11	,	,	PUNCT
cana-5492	56	12	𝜈	𝜈	X
cana-5492	56	13	is	be	AUX
cana-5492	56	14	1	1	NUM
cana-5492	56	15	.	.	PUNCT
cana-5492	57	1	the	the	DET
cana-5492	57	2	inequality	inequality	NOUN
cana-5492	57	3	0	0	NUM
cana-5492	57	4	≤	≤	NOUN
cana-5492	57	5	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	57	6	)	)	PUNCT
cana-5492	57	7	+	+	CCONJ
cana-5492	57	8	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	57	9	)	)	PUNCT
cana-5492	57	10	+	+	NUM
cana-5492	57	11	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	57	12	)	)	PUNCT
cana-5492	57	13	≤	≤	NUM
cana-5492	57	14	3	3	NUM
cana-5492	57	15	naturally	naturally	ADV
cana-5492	57	16	holds	hold	VERB
cana-5492	57	17	.	.	PUNCT
cana-5492	58	1	definition	definition	NOUN
cana-5492	59	1	2.4	2.4	NUM
cana-5492	59	2	[	[	X
cana-5492	59	3	[	[	X
cana-5492	59	4	10	10	NUM
cana-5492	59	5	]	]	PUNCT
cana-5492	59	6	,	,	PUNCT
cana-5492	59	7	[	[	X
cana-5492	59	8	4	4	NUM
cana-5492	59	9	]	]	PUNCT
cana-5492	59	10	]	]	PUNCT
cana-5492	59	11	assume	assume	VERB
cana-5492	59	12	that	that	SCONJ
cana-5492	59	13	𝕎	𝕎	PROPN
cana-5492	59	14	is	be	AUX
cana-5492	59	15	an	an	DET
cana-5492	59	16	underlying	underlie	VERB
cana-5492	59	17	universe	universe	NOUN
cana-5492	59	18	&	&	CCONJ
cana-5492	59	19	ns	ns	ADJ
cana-5492	59	20	sets	set	NOUN
cana-5492	59	21	(	(	PUNCT
cana-5492	59	22	𝑆	𝑆	PROPN
cana-5492	59	23	,	,	PUNCT
cana-5492	59	24	𝜚	𝜚	NOUN
cana-5492	59	25	)	)	PUNCT
cana-5492	59	26	&	&	CCONJ
cana-5492	59	27	(	(	PUNCT
cana-5492	59	28	𝐷	𝐷	PROPN
cana-5492	59	29	,	,	PUNCT
cana-5492	59	30	𝜚	𝜚	NOUN
cana-5492	59	31	)	)	PUNCT
cana-5492	59	32	are	be	AUX
cana-5492	59	33	in	in	ADP
cana-5492	59	34	the	the	DET
cana-5492	59	35	form	form	NOUN
cana-5492	59	36	(	(	PUNCT
cana-5492	59	37	𝑆	𝑆	PROPN
cana-5492	59	38	,	,	PUNCT
cana-5492	59	39	𝜚	𝜚	NOUN
cana-5492	59	40	)	)	PUNCT
cana-5492	59	41	=	=	SYM
cana-5492	59	42	{	{	PUNCT
cana-5492	59	43	(	(	PUNCT
cana-5492	59	44	𝜑	𝜑	NOUN
cana-5492	59	45	,	,	PUNCT
cana-5492	59	46	〈	〈	PROPN
cana-5492	59	47	휀	휀	NOUN
cana-5492	59	48	,	,	PUNCT
cana-5492	59	49	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	59	50	)	)	PUNCT
cana-5492	59	51	,	,	PUNCT
cana-5492	59	52	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	59	53	)	)	PUNCT
cana-5492	59	54	,	,	PUNCT
cana-5492	59	55	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	59	56	)	)	PUNCT
cana-5492	59	57	〉	〉	NOUN
cana-5492	59	58	∶	∶	NOUN
cana-5492	59	59	휀	휀	NOUN
cana-5492	59	60	∈	∈	PROPN
cana-5492	59	61	𝕎	𝕎	PROPN
cana-5492	59	62	)	)	PUNCT
cana-5492	59	63	∶	∶	NOUN
cana-5492	59	64	𝜑	𝜑	X
cana-5492	59	65	∈	∈	PROPN
cana-5492	59	66	𝜚	𝜚	NOUN
cana-5492	59	67	}	}	PUNCT
cana-5492	59	68	&	&	CCONJ
cana-5492	59	69	(	(	PUNCT
cana-5492	59	70	𝐷	𝐷	PROPN
cana-5492	59	71	,	,	PUNCT
cana-5492	59	72	𝜚	𝜚	NOUN
cana-5492	59	73	)	)	PUNCT
cana-5492	59	74	=	=	SYM
cana-5492	59	75	{	{	PUNCT
cana-5492	59	76	(	(	PUNCT
cana-5492	59	77	𝜑	𝜑	NOUN
cana-5492	59	78	,	,	PUNCT
cana-5492	59	79	〈	〈	PROPN
cana-5492	59	80	휀	휀	NOUN
cana-5492	59	81	,	,	PUNCT
cana-5492	59	82	𝜇𝐷(𝜑)(휀	𝜇𝐷(𝜑)(휀	NUM
cana-5492	59	83	)	)	PUNCT
cana-5492	59	84	,	,	PUNCT
cana-5492	59	85	𝜎𝐷(𝜑)(휀	𝜎𝐷(𝜑)(휀	NUM
cana-5492	59	86	)	)	PUNCT
cana-5492	59	87	,	,	PUNCT
cana-5492	59	88	𝜈𝐷(𝜑)(휀	𝜈𝐷(𝜑)(휀	NUM
cana-5492	59	89	)	)	PUNCT
cana-5492	59	90	〉	〉	NOUN
cana-5492	59	91	∶	∶	NOUN
cana-5492	59	92	휀	휀	NOUN
cana-5492	59	93	∈	∈	PROPN
cana-5492	59	94	𝕎	𝕎	PROPN
cana-5492	59	95	)	)	PUNCT
cana-5492	59	96	∶	∶	NOUN
cana-5492	59	97	𝜑	𝜑	X
cana-5492	59	98	∈	∈	PROPN
cana-5492	59	99	𝜚	𝜚	NOUN
cana-5492	59	100	}	}	PUNCT
cana-5492	59	101	,	,	PUNCT
cana-5492	59	102	then	then	ADV
cana-5492	59	103	communications	communication	NOUN
cana-5492	59	104	on	on	ADP
cana-5492	59	105	applied	apply	VERB
cana-5492	59	106	nonlinear	nonlinear	ADJ
cana-5492	59	107	analysis	analysis	NOUN
cana-5492	59	108	issn	issn	NOUN
cana-5492	59	109	:	:	PUNCT
cana-5492	59	110	1074	1074	NUM
cana-5492	59	111	-	-	PUNCT
cana-5492	59	112	133x	133x	NUM
cana-5492	59	113	vol	vol	VERB
cana-5492	59	114	32	32	NUM
cana-5492	59	115	no	no	NOUN
cana-5492	59	116	.	.	PUNCT
cana-5492	60	1	10s	10	NOUN
cana-5492	60	2	(	(	PUNCT
cana-5492	60	3	2025	2025	NUM
cana-5492	60	4	)	)	PUNCT
cana-5492	60	5	2444	2444	NUM
cana-5492	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	60	7	1	1	NUM
cana-5492	60	8	.	.	X
cana-5492	60	9	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	60	10	)	)	PUNCT
cana-5492	61	1	=	=	PRON
cana-5492	61	2	{	{	PUNCT
cana-5492	61	3	(	(	PUNCT
cana-5492	61	4	𝜑	𝜑	NOUN
cana-5492	61	5	,	,	PUNCT
cana-5492	61	6	〈	〈	PROPN
cana-5492	61	7	휀	휀	NOUN
cana-5492	61	8	,	,	PUNCT
cana-5492	61	9	0	0	NUM
cana-5492	61	10	,	,	PUNCT
cana-5492	61	11	0	0	NUM
cana-5492	61	12	,	,	PUNCT
cana-5492	61	13	1	1	NUM
cana-5492	61	14	〉	〉	NOUN
cana-5492	61	15	:	:	PUNCT
cana-5492	61	16	휀	휀	PROPN
cana-5492	61	17	∈	∈	PROPN
cana-5492	61	18	𝕎	𝕎	PROPN
cana-5492	61	19	):	):	PUNCT
cana-5492	61	20	𝜑	𝜑	PROPN
cana-5492	61	21	∈	∈	PROPN
cana-5492	61	22	𝜚	𝜚	NOUN
cana-5492	61	23	}	}	PUNCT
cana-5492	61	24	and	and	CCONJ
cana-5492	61	25	1(𝕎,𝜚	1(𝕎,𝜚	NUM
cana-5492	61	26	)	)	PUNCT
cana-5492	61	27	=	=	PRON
cana-5492	61	28	{	{	PUNCT
cana-5492	61	29	(	(	PUNCT
cana-5492	61	30	𝜑	𝜑	NOUN
cana-5492	61	31	,	,	PUNCT
cana-5492	61	32	〈	〈	PROPN
cana-5492	61	33	휀	휀	NOUN
cana-5492	61	34	,	,	PUNCT
cana-5492	61	35	1	1	NUM
cana-5492	61	36	,	,	PUNCT
cana-5492	61	37	1	1	NUM
cana-5492	61	38	,	,	PUNCT
cana-5492	61	39	0	0	NUM
cana-5492	61	40	〉	〉	NOUN
cana-5492	61	41	∶	∶	VERB
cana-5492	61	42	휀	휀	X
cana-5492	61	43	∈	∈	PROPN
cana-5492	61	44	𝕎	𝕎	PROPN
cana-5492	61	45	):	):	PUNCT
cana-5492	61	46	𝜑	𝜑	PROPN
cana-5492	61	47	∈	∈	PROPN
cana-5492	61	48	𝜚	𝜚	NOUN
cana-5492	61	49	}	}	PUNCT
cana-5492	61	50	.	.	PUNCT
cana-5492	62	1	2	2	X
cana-5492	62	2	.	.	X
cana-5492	62	3	(	(	PUNCT
cana-5492	62	4	𝑆	𝑆	PROPN
cana-5492	62	5	,	,	PUNCT
cana-5492	62	6	𝜚	𝜚	NOUN
cana-5492	62	7	)	)	PUNCT
cana-5492	62	8	⊆	⊆	NUM
cana-5492	62	9	(	(	PUNCT
cana-5492	62	10	𝐷	𝐷	NOUN
cana-5492	62	11	,	,	PUNCT
cana-5492	62	12	𝜚	𝜚	NOUN
cana-5492	62	13	)	)	PUNCT
cana-5492	62	14	iff	iff	PROPN
cana-5492	62	15	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	62	16	)	)	PUNCT
cana-5492	62	17	≤	≤	NOUN
cana-5492	62	18	𝜇𝐷(𝜑)(휀	𝜇𝐷(𝜑)(휀	NUM
cana-5492	62	19	)	)	PUNCT
cana-5492	62	20	,	,	PUNCT
cana-5492	62	21	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	62	22	)	)	PUNCT
cana-5492	62	23	≤	≤	NOUN
cana-5492	62	24	𝜎𝐷(𝜑)(휀	𝜎𝐷(𝜑)(휀	NUM
cana-5492	62	25	)	)	PUNCT
cana-5492	62	26	and	and	CCONJ
cana-5492	62	27	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	62	28	)	)	PUNCT
cana-5492	62	29	≥	≥	NOUN
cana-5492	62	30	𝜈𝐷(𝜑)(휀	𝜈𝐷(𝜑)(휀	NUM
cana-5492	62	31	)	)	PUNCT
cana-5492	63	1	∶	∶	NOUN
cana-5492	63	2	휀	휀	NOUN
cana-5492	63	3	∈	∈	NOUN
cana-5492	63	4	𝕎	𝕎	PROPN
cana-5492	63	5	∶	∶	NOUN
cana-5492	63	6	𝜑	𝜑	X
cana-5492	63	7	∈	∈	PROPN
cana-5492	63	8	𝜚.	𝜚.	NOUN
cana-5492	63	9	3	3	X
cana-5492	63	10	.	.	PUNCT
cana-5492	64	1	(	(	PUNCT
cana-5492	64	2	𝑆	𝑆	PROPN
cana-5492	64	3	,	,	PUNCT
cana-5492	64	4	𝜚	𝜚	NOUN
cana-5492	64	5	)	)	PUNCT
cana-5492	64	6	=	=	SYM
cana-5492	64	7	(	(	PUNCT
cana-5492	64	8	𝐷	𝐷	PROPN
cana-5492	64	9	,	,	PUNCT
cana-5492	64	10	𝜚	𝜚	NOUN
cana-5492	64	11	)	)	PUNCT
cana-5492	64	12	iff	iff	PROPN
cana-5492	64	13	(	(	PUNCT
cana-5492	64	14	𝑆	𝑆	PROPN
cana-5492	64	15	,	,	PUNCT
cana-5492	64	16	𝜚	𝜚	NOUN
cana-5492	64	17	)	)	PUNCT
cana-5492	64	18	⊆	⊆	NUM
cana-5492	64	19	(	(	PUNCT
cana-5492	64	20	𝐷	𝐷	NOUN
cana-5492	64	21	,	,	PUNCT
cana-5492	64	22	𝜚	𝜚	NOUN
cana-5492	64	23	)	)	PUNCT
cana-5492	64	24	and	and	CCONJ
cana-5492	64	25	(	(	PUNCT
cana-5492	64	26	𝐷	𝐷	PROPN
cana-5492	64	27	,	,	PUNCT
cana-5492	64	28	𝜚	𝜚	NOUN
cana-5492	64	29	)	)	PUNCT
cana-5492	64	30	⊆	⊆	NUM
cana-5492	64	31	(	(	PUNCT
cana-5492	64	32	𝑆	𝑆	PROPN
cana-5492	64	33	,	,	PUNCT
cana-5492	64	34	𝜚	𝜚	NOUN
cana-5492	64	35	)	)	PUNCT
cana-5492	64	36	.	.	PUNCT
cana-5492	65	1	4	4	X
cana-5492	65	2	.	.	X
cana-5492	65	3	(	(	PUNCT
cana-5492	65	4	𝑆	𝑆	PROPN
cana-5492	65	5	,	,	PUNCT
cana-5492	65	6	𝜚)𝑐	𝜚)𝑐	PUNCT
cana-5492	65	7	=	=	PUNCT
cana-5492	65	8	{	{	PUNCT
cana-5492	65	9	(	(	PUNCT
cana-5492	65	10	𝜑	𝜑	NOUN
cana-5492	65	11	,	,	PUNCT
cana-5492	65	12	〈	〈	PROPN
cana-5492	65	13	휀	휀	NOUN
cana-5492	65	14	,	,	PUNCT
cana-5492	65	15	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	65	16	)	)	PUNCT
cana-5492	65	17	,	,	PUNCT
cana-5492	65	18	1	1	NUM
cana-5492	65	19	−	−	PROPN
cana-5492	65	20	𝜎𝑆(𝜑)(휀	𝜎𝑆(𝜑)(휀	NUM
cana-5492	65	21	)	)	PUNCT
cana-5492	65	22	,	,	PUNCT
cana-5492	65	23	𝜇𝑆(𝜑)(휀	𝜇𝑆(𝜑)(휀	NUM
cana-5492	65	24	)	)	PUNCT
cana-5492	65	25	〉	〉	NOUN
cana-5492	65	26	∶	∶	NOUN
cana-5492	65	27	휀	휀	X
cana-5492	65	28	∈	∈	PROPN
cana-5492	65	29	𝕎	𝕎	PROPN
cana-5492	65	30	)	)	PUNCT
cana-5492	65	31	∶	∶	NOUN
cana-5492	65	32	𝜑	𝜑	X
cana-5492	65	33	∈	∈	PROPN
cana-5492	65	34	𝜚	𝜚	NOUN
cana-5492	65	35	}	}	PUNCT
cana-5492	65	36	.	.	PUNCT
cana-5492	66	1	5	5	X
cana-5492	66	2	.	.	X
cana-5492	66	3	(	(	PUNCT
cana-5492	66	4	𝑆	𝑆	PROPN
cana-5492	66	5	,	,	PUNCT
cana-5492	66	6	𝜚	𝜚	NOUN
cana-5492	66	7	)	)	PUNCT
cana-5492	66	8	∪	∪	NOUN
cana-5492	66	9	(	(	PUNCT
cana-5492	66	10	𝐷	𝐷	NOUN
cana-5492	66	11	,	,	PUNCT
cana-5492	66	12	𝜚	𝜚	NOUN
cana-5492	66	13	)	)	PUNCT
cana-5492	66	14	=	=	SYM
cana-5492	66	15	{	{	PUNCT
cana-5492	66	16	(	(	PUNCT
cana-5492	66	17	𝜑	𝜑	NOUN
cana-5492	66	18	,	,	PUNCT
cana-5492	66	19	〈	〈	PROPN
cana-5492	66	20	휀	휀	NOUN
cana-5492	66	21	,	,	PUNCT
cana-5492	66	22	max(𝜇𝑆(𝜑)(휀	max(𝜇𝑆(𝜑)(휀	NOUN
cana-5492	66	23	)	)	PUNCT
cana-5492	66	24	,	,	PUNCT
cana-5492	66	25	𝜇𝐷(𝜑)(휀	𝜇𝐷(𝜑)(휀	NUM
cana-5492	66	26	)	)	PUNCT
cana-5492	66	27	)	)	PUNCT
cana-5492	66	28	,	,	PUNCT
cana-5492	66	29	max(𝜎𝑆(𝜑)(휀	max(𝜎𝑆(𝜑)(휀	NOUN
cana-5492	66	30	)	)	PUNCT
cana-5492	66	31	,	,	PUNCT
cana-5492	66	32	𝜎𝐷(𝜑)(휀	𝜎𝐷(𝜑)(휀	NUM
cana-5492	66	33	)	)	PUNCT
cana-5492	66	34	)	)	PUNCT
cana-5492	66	35	,	,	PUNCT
cana-5492	66	36	min	min	PROPN
cana-5492	66	37	(	(	PUNCT
cana-5492	66	38	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	66	39	)	)	PUNCT
cana-5492	66	40	,	,	PUNCT
cana-5492	66	41	𝜈𝐷(𝜑)(휀	𝜈𝐷(𝜑)(휀	NUM
cana-5492	66	42	)	)	PUNCT
cana-5492	66	43	)	)	PUNCT
cana-5492	66	44	〉	〉	NOUN
cana-5492	66	45	∶	∶	VERB
cana-5492	66	46	휀	휀	NOUN
cana-5492	66	47	∈	∈	PROPN
cana-5492	66	48	𝕎	𝕎	PROPN
cana-5492	66	49	)	)	PUNCT
cana-5492	66	50	∶	∶	NOUN
cana-5492	66	51	𝜑	𝜑	X
cana-5492	66	52	∈	∈	PROPN
cana-5492	66	53	𝜚	𝜚	NOUN
cana-5492	66	54	}	}	PUNCT
cana-5492	66	55	.	.	PUNCT
cana-5492	67	1	6	6	NUM
cana-5492	67	2	.	.	X
cana-5492	67	3	(	(	PUNCT
cana-5492	67	4	𝑆	𝑆	PROPN
cana-5492	67	5	,	,	PUNCT
cana-5492	67	6	𝜚	𝜚	NOUN
cana-5492	67	7	)	)	PUNCT
cana-5492	67	8	∩	∩	NOUN
cana-5492	67	9	(	(	PUNCT
cana-5492	67	10	𝐷	𝐷	NOUN
cana-5492	67	11	,	,	PUNCT
cana-5492	67	12	𝜚	𝜚	NOUN
cana-5492	67	13	)	)	PUNCT
cana-5492	67	14	=	=	SYM
cana-5492	67	15	{	{	PUNCT
cana-5492	67	16	(	(	PUNCT
cana-5492	67	17	𝜑	𝜑	NOUN
cana-5492	67	18	,	,	PUNCT
cana-5492	67	19	〈	〈	PROPN
cana-5492	67	20	휀	휀	NOUN
cana-5492	67	21	,	,	PUNCT
cana-5492	67	22	min(𝜇𝑆(𝜑)(휀	min(𝜇𝑆(𝜑)(휀	NOUN
cana-5492	67	23	)	)	PUNCT
cana-5492	67	24	,	,	PUNCT
cana-5492	67	25	𝜇𝐷(𝜑)(휀	𝜇𝐷(𝜑)(휀	NUM
cana-5492	67	26	)	)	PUNCT
cana-5492	67	27	)	)	PUNCT
cana-5492	67	28	,	,	PUNCT
cana-5492	67	29	min(𝜎𝑆(𝜑)(휀	min(𝜎𝑆(𝜑)(휀	NOUN
cana-5492	67	30	)	)	PUNCT
cana-5492	67	31	,	,	PUNCT
cana-5492	67	32	𝜎𝐷(𝜑)(휀	𝜎𝐷(𝜑)(휀	NUM
cana-5492	67	33	)	)	PUNCT
cana-5492	67	34	)	)	PUNCT
cana-5492	67	35	,	,	PUNCT
cana-5492	67	36	max	max	PROPN
cana-5492	67	37	(	(	PUNCT
cana-5492	67	38	𝜈𝑆(𝜑)(휀	𝜈𝑆(𝜑)(휀	NUM
cana-5492	67	39	)	)	PUNCT
cana-5492	67	40	,	,	PUNCT
cana-5492	67	41	𝜈𝐷(𝜑)(휀	𝜈𝐷(𝜑)(휀	NUM
cana-5492	67	42	)	)	PUNCT
cana-5492	67	43	)	)	PUNCT
cana-5492	67	44	〉	〉	NOUN
cana-5492	67	45	∶	∶	VERB
cana-5492	67	46	휀	휀	NOUN
cana-5492	67	47	∈	∈	PROPN
cana-5492	67	48	𝕎	𝕎	PROPN
cana-5492	67	49	)	)	PUNCT
cana-5492	67	50	∶	∶	NOUN
cana-5492	67	51	𝜑	𝜑	X
cana-5492	67	52	∈	∈	PROPN
cana-5492	67	53	𝜚	𝜚	NOUN
cana-5492	67	54	}	}	PUNCT
cana-5492	67	55	.	.	PUNCT
cana-5492	68	1	definition	definition	NOUN
cana-5492	68	2	2.5	2.5	NUM
cana-5492	69	1	[	[	X
cana-5492	69	2	4	4	NUM
cana-5492	69	3	]	]	PUNCT
cana-5492	69	4	a	a	DET
cana-5492	69	5	neutrosophic	neutrosophic	ADJ
cana-5492	69	6	soft	soft	ADJ
cana-5492	69	7	topology	topology	NOUN
cana-5492	69	8	(	(	PUNCT
cana-5492	69	9	in	in	ADP
cana-5492	69	10	short	short	ADJ
cana-5492	69	11	,	,	PUNCT
cana-5492	69	12	nst	nst	PROPN
cana-5492	69	13	)	)	PUNCT
cana-5492	69	14	on	on	ADP
cana-5492	69	15	an	an	DET
cana-5492	69	16	underlying	underlie	VERB
cana-5492	69	17	universe	universe	NOUN
cana-5492	69	18	𝕎	𝕎	NOUN
cana-5492	69	19	is	be	AUX
cana-5492	69	20	a	a	DET
cana-5492	69	21	collection	collection	NOUN
cana-5492	69	22	of	of	ADP
cana-5492	69	23	𝜏	𝜏	PRON
cana-5492	69	24	of	of	ADP
cana-5492	69	25	ns	ns	NUM
cana-5492	69	26	subsets	subset	NOUN
cana-5492	69	27	(	(	PUNCT
cana-5492	69	28	𝑆	𝑆	PROPN
cana-5492	69	29	,	,	PUNCT
cana-5492	69	30	𝜚	𝜚	NOUN
cana-5492	69	31	)	)	PUNCT
cana-5492	69	32	of	of	ADP
cana-5492	69	33	𝕎	𝕎	PROPN
cana-5492	69	34	where	where	SCONJ
cana-5492	69	35	𝜚	𝜚	NOUN
cana-5492	69	36	be	be	VERB
cana-5492	69	37	the	the	DET
cana-5492	69	38	parameters	parameter	NOUN
cana-5492	69	39	set	set	VERB
cana-5492	69	40	,	,	PUNCT
cana-5492	69	41	satisfying	satisfy	VERB
cana-5492	69	42	1	1	NUM
cana-5492	69	43	.	.	NUM
cana-5492	69	44	0(𝕎	0(𝕎	ADJ
cana-5492	69	45	,	,	PUNCT
cana-5492	69	46	𝜚	𝜚	NOUN
cana-5492	69	47	)	)	PUNCT
cana-5492	69	48	,	,	PUNCT
cana-5492	69	49	1(𝕎	1(𝕎	INTJ
cana-5492	69	50	,	,	PUNCT
cana-5492	69	51	𝜚	𝜚	NOUN
cana-5492	69	52	)	)	PUNCT
cana-5492	69	53	∈	∈	PROPN
cana-5492	69	54	𝜏.	𝜏.	NOUN
cana-5492	69	55	2	2	NUM
cana-5492	69	56	.	.	PUNCT
cana-5492	70	1	[	[	X
cana-5492	70	2	(	(	PUNCT
cana-5492	70	3	𝑆	𝑆	PROPN
cana-5492	70	4	,	,	PUNCT
cana-5492	70	5	𝜚	𝜚	NOUN
cana-5492	70	6	)	)	PUNCT
cana-5492	70	7	∩	∩	NOUN
cana-5492	70	8	(	(	PUNCT
cana-5492	70	9	𝐷	𝐷	PROPN
cana-5492	70	10	,	,	PUNCT
cana-5492	70	11	𝜚	𝜚	NOUN
cana-5492	70	12	)	)	PUNCT
cana-5492	70	13	]	]	PUNCT
cana-5492	70	14	∈	∈	PROPN
cana-5492	70	15	𝜏	𝜏	NOUN
cana-5492	70	16	for	for	ADP
cana-5492	70	17	any	any	DET
cana-5492	70	18	(	(	PUNCT
cana-5492	70	19	𝑆	𝑆	PROPN
cana-5492	70	20	,	,	PUNCT
cana-5492	70	21	𝜚	𝜚	NOUN
cana-5492	70	22	)	)	PUNCT
cana-5492	70	23	,	,	PUNCT
cana-5492	70	24	(	(	PUNCT
cana-5492	70	25	𝐷	𝐷	NOUN
cana-5492	70	26	,	,	PUNCT
cana-5492	70	27	𝜚	𝜚	NOUN
cana-5492	70	28	)	)	PUNCT
cana-5492	70	29	∈	∈	PROPN
cana-5492	70	30	𝜏.	𝜏.	NOUN
cana-5492	71	1	3	3	NUM
cana-5492	71	2	.	.	PUNCT
cana-5492	72	1	⋃	⋃	PROPN
cana-5492	72	2	(	(	PUNCT
cana-5492	72	3	𝑆	𝑆	PROPN
cana-5492	72	4	,	,	PUNCT
cana-5492	72	5	𝜚)𝑘	𝜚)𝑘	X
cana-5492	72	6	∈	∈	NOUN
cana-5492	72	7	𝜏k∈k	𝜏k∈k	NOUN
cana-5492	72	8	for	for	ADP
cana-5492	72	9	all	all	DET
cana-5492	72	10	(	(	PUNCT
cana-5492	72	11	𝑆	𝑆	PROPN
cana-5492	72	12	,	,	PUNCT
cana-5492	72	13	𝜚𝑘	𝜚𝑘	NOUN
cana-5492	72	14	)	)	PUNCT
cana-5492	72	15	∶	∶	NOUN
cana-5492	72	16	k	k	X
cana-5492	72	17	∈	∈	PROPN
cana-5492	72	18	k	k	PROPN
cana-5492	72	19	⊆	⊆	NUM
cana-5492	72	20	𝜏.	𝜏.	NOUN
cana-5492	72	21	then	then	ADV
cana-5492	72	22	(	(	PUNCT
cana-5492	72	23	𝕎	𝕎	PROPN
cana-5492	72	24	,	,	PUNCT
cana-5492	72	25	𝜏	𝜏	NOUN
cana-5492	72	26	,	,	PUNCT
cana-5492	72	27	𝜚	𝜚	NOUN
cana-5492	72	28	)	)	PUNCT
cana-5492	72	29	is	be	AUX
cana-5492	72	30	known	know	VERB
cana-5492	72	31	as	as	ADP
cana-5492	72	32	a	a	DET
cana-5492	72	33	neutrosophic	neutrosophic	ADJ
cana-5492	72	34	soft	soft	ADJ
cana-5492	72	35	topological	topological	ADJ
cana-5492	72	36	space	space	NOUN
cana-5492	72	37	(	(	PUNCT
cana-5492	72	38	shortly	shortly	ADV
cana-5492	72	39	,	,	PUNCT
cana-5492	72	40	nsts	nst	NOUN
cana-5492	72	41	)	)	PUNCT
cana-5492	72	42	and	and	CCONJ
cana-5492	72	43	the	the	DET
cana-5492	72	44	elements	element	NOUN
cana-5492	72	45	of	of	ADP
cana-5492	72	46	𝜏	𝜏	DET
cana-5492	72	47	elements	element	NOUN
cana-5492	72	48	are	be	AUX
cana-5492	72	49	known	know	VERB
cana-5492	72	50	as	as	ADP
cana-5492	72	51	neutrosophic	neutrosophic	ADJ
cana-5492	72	52	soft	soft	ADJ
cana-5492	72	53	open	open	ADJ
cana-5492	72	54	sets	set	NOUN
cana-5492	72	55	(	(	PUNCT
cana-5492	72	56	shortly	shortly	ADV
cana-5492	72	57	,	,	PUNCT
cana-5492	72	58	nsos	nsos	X
cana-5492	72	59	)	)	PUNCT
cana-5492	72	60	in	in	ADP
cana-5492	72	61	𝕎.	𝕎.	PROPN
cana-5492	72	62	a	a	DET
cana-5492	72	63	nss	nss	NOUN
cana-5492	72	64	(	(	PUNCT
cana-5492	72	65	𝑆	𝑆	PROPN
cana-5492	72	66	,	,	PUNCT
cana-5492	72	67	𝜚	𝜚	NOUN
cana-5492	72	68	)	)	PUNCT
cana-5492	72	69	is	be	AUX
cana-5492	72	70	called	call	VERB
cana-5492	72	71	the	the	DET
cana-5492	72	72	neutrosophic	neutrosophic	ADJ
cana-5492	72	73	soft	soft	ADJ
cana-5492	72	74	closed	closed	ADJ
cana-5492	72	75	set	set	NOUN
cana-5492	72	76	(	(	PUNCT
cana-5492	72	77	in	in	ADP
cana-5492	72	78	short	short	ADJ
cana-5492	72	79	,	,	PUNCT
cana-5492	72	80	nscs	nsc	NOUN
cana-5492	72	81	)	)	PUNCT
cana-5492	72	82	if	if	SCONJ
cana-5492	72	83	its	its	PRON
cana-5492	72	84	complement	complement	NOUN
cana-5492	72	85	(	(	PUNCT
cana-5492	72	86	𝑆	𝑆	PROPN
cana-5492	72	87	,	,	PUNCT
cana-5492	72	88	𝜚)𝑐	𝜚)𝑐	X
cana-5492	72	89	is	be	AUX
cana-5492	72	90	nsos	nsos	NUM
cana-5492	72	91	.	.	PUNCT
cana-5492	73	1	definition	definition	NOUN
cana-5492	73	2	2.6	2.6	NUM
cana-5492	73	3	[	[	X
cana-5492	73	4	4	4	NUM
cana-5492	73	5	]	]	X
cana-5492	73	6	let	let	NOUN
cana-5492	73	7	(	(	PUNCT
cana-5492	73	8	𝕎	𝕎	PROPN
cana-5492	73	9	,	,	PUNCT
cana-5492	73	10	τ	τ	PROPN
cana-5492	73	11	,	,	PUNCT
cana-5492	73	12	ϱ	ϱ	PROPN
cana-5492	73	13	)	)	PUNCT
cana-5492	73	14	act	act	NOUN
cana-5492	73	15	as	as	ADP
cana-5492	73	16	a	a	DET
cana-5492	73	17	nsts	nst	NOUN
cana-5492	73	18	on	on	ADP
cana-5492	73	19	𝕎	𝕎	PROPN
cana-5492	73	20	&	&	CCONJ
cana-5492	73	21	let	let	VERB
cana-5492	73	22	(	(	PUNCT
cana-5492	73	23	s	s	X
cana-5492	73	24	,	,	PUNCT
cana-5492	73	25	ϱ	ϱ	NOUN
cana-5492	73	26	)	)	PUNCT
cana-5492	73	27	is	be	AUX
cana-5492	73	28	a	a	DET
cana-5492	73	29	nss	nss	NOUN
cana-5492	73	30	on	on	ADP
cana-5492	73	31	𝕎.	𝕎.	PROPN
cana-5492	73	32	the	the	DET
cana-5492	73	33	neutrosophic	neutrosophic	ADJ
cana-5492	73	34	soft	soft	ADJ
cana-5492	73	35	interior	interior	NOUN
cana-5492	73	36	of	of	ADP
cana-5492	73	37	(	(	PUNCT
cana-5492	73	38	s	s	PROPN
cana-5492	73	39	,	,	PUNCT
cana-5492	73	40	ϱ	ϱ	NOUN
cana-5492	73	41	)	)	PUNCT
cana-5492	73	42	(	(	PUNCT
cana-5492	73	43	in	in	ADP
cana-5492	73	44	brief	brief	ADJ
cana-5492	73	45	,	,	PUNCT
cana-5492	73	46	nsint(s	nsint(s	PROPN
cana-5492	73	47	,	,	PUNCT
cana-5492	73	48	ϱ	ϱ	NOUN
cana-5492	73	49	)	)	PUNCT
cana-5492	73	50	)	)	PUNCT
cana-5492	73	51	and	and	CCONJ
cana-5492	73	52	the	the	DET
cana-5492	73	53	neutrosophic	neutrosophic	ADJ
cana-5492	73	54	soft	soft	ADJ
cana-5492	73	55	closure	closure	NOUN
cana-5492	73	56	of	of	ADP
cana-5492	73	57	(	(	PUNCT
cana-5492	73	58	s	s	PROPN
cana-5492	73	59	,	,	PUNCT
cana-5492	73	60	ϱ	ϱ	NOUN
cana-5492	73	61	)	)	PUNCT
cana-5492	73	62	(	(	PUNCT
cana-5492	73	63	in	in	ADP
cana-5492	73	64	brief	brief	ADJ
cana-5492	73	65	,	,	PUNCT
cana-5492	73	66	nscl(s	nscl(s	PROPN
cana-5492	73	67	,	,	PUNCT
cana-5492	73	68	ϱ	ϱ	NOUN
cana-5492	73	69	)	)	PUNCT
cana-5492	73	70	)	)	PUNCT
cana-5492	73	71	are	be	AUX
cana-5492	73	72	represented	represent	VERB
cana-5492	73	73	as	as	ADP
cana-5492	73	74	(	(	PUNCT
cana-5492	73	75	i	i	NOUN
cana-5492	73	76	)	)	PUNCT
cana-5492	73	77	nsint(𝑆	nsint(𝑆	PROPN
cana-5492	73	78	,	,	PUNCT
cana-5492	73	79	𝜚	𝜚	NOUN
cana-5492	73	80	)	)	PUNCT
cana-5492	74	1	=	=	SYM
cana-5492	74	2	⋃{(𝐷	⋃{(𝐷	PROPN
cana-5492	74	3	,	,	PUNCT
cana-5492	74	4	𝜚	𝜚	NOUN
cana-5492	74	5	)	)	PUNCT
cana-5492	74	6	:	:	PUNCT
cana-5492	74	7	(	(	PUNCT
cana-5492	74	8	𝐷	𝐷	NOUN
cana-5492	74	9	,	,	PUNCT
cana-5492	74	10	𝜚	𝜚	NOUN
cana-5492	74	11	)	)	PUNCT
cana-5492	74	12	⊆	⊆	NUM
cana-5492	74	13	(	(	PUNCT
cana-5492	74	14	𝑆	𝑆	PROPN
cana-5492	74	15	,	,	PUNCT
cana-5492	74	16	𝜚	𝜚	NOUN
cana-5492	74	17	)	)	PUNCT
cana-5492	74	18	and	and	CCONJ
cana-5492	74	19	(	(	PUNCT
cana-5492	74	20	𝐷	𝐷	PROPN
cana-5492	74	21	,	,	PUNCT
cana-5492	74	22	𝜚	𝜚	NOUN
cana-5492	74	23	)	)	PUNCT
cana-5492	74	24	is	be	AUX
cana-5492	74	25	a	a	DET
cana-5492	74	26	nsos	nsos	NOUN
cana-5492	74	27	in	in	ADP
cana-5492	74	28	𝕎	𝕎	PROPN
cana-5492	74	29	}	}	PUNCT
cana-5492	74	30	.	.	PUNCT
cana-5492	75	1	(	(	PUNCT
cana-5492	75	2	ii	ii	NOUN
cana-5492	75	3	)	)	PUNCT
cana-5492	75	4	nscl(𝑆	nscl(𝑆	PROPN
cana-5492	75	5	,	,	PUNCT
cana-5492	75	6	𝜚	𝜚	NOUN
cana-5492	75	7	)	)	PUNCT
cana-5492	75	8	=	=	SYM
cana-5492	75	9	⋂{(𝐷	⋂{(𝐷	PROPN
cana-5492	75	10	,	,	PUNCT
cana-5492	75	11	𝜚	𝜚	NOUN
cana-5492	75	12	)	)	PUNCT
cana-5492	75	13	:	:	PUNCT
cana-5492	75	14	(	(	PUNCT
cana-5492	75	15	𝐷	𝐷	NOUN
cana-5492	75	16	,	,	PUNCT
cana-5492	75	17	𝜚	𝜚	NOUN
cana-5492	75	18	)	)	PUNCT
cana-5492	75	19	⊇	⊇	NOUN
cana-5492	75	20	(	(	PUNCT
cana-5492	75	21	𝑆	𝑆	PROPN
cana-5492	75	22	,	,	PUNCT
cana-5492	75	23	𝜚	𝜚	NOUN
cana-5492	75	24	)	)	PUNCT
cana-5492	75	25	and	and	CCONJ
cana-5492	75	26	(	(	PUNCT
cana-5492	75	27	𝐷	𝐷	PROPN
cana-5492	75	28	,	,	PUNCT
cana-5492	75	29	𝜚	𝜚	NOUN
cana-5492	75	30	)	)	PUNCT
cana-5492	75	31	is	be	AUX
cana-5492	75	32	a	a	DET
cana-5492	75	33	nscs	nscs	NOUN
cana-5492	75	34	in	in	ADP
cana-5492	75	35	𝕎	𝕎	PROPN
cana-5492	75	36	}	}	PUNCT
cana-5492	75	37	.	.	PUNCT
cana-5492	76	1	definition	definition	NOUN
cana-5492	76	2	2.7	2.7	NUM
cana-5492	76	3	[	[	X
cana-5492	76	4	4	4	X
cana-5492	76	5	]	]	PUNCT
cana-5492	76	6	suppose	suppose	VERB
cana-5492	76	7	(	(	PUNCT
cana-5492	76	8	𝕎	𝕎	PROPN
cana-5492	76	9	,	,	PUNCT
cana-5492	76	10	τ	τ	PROPN
cana-5492	76	11	,	,	PUNCT
cana-5492	76	12	ϱ	ϱ	PROPN
cana-5492	76	13	)	)	PUNCT
cana-5492	76	14	act	act	NOUN
cana-5492	76	15	as	as	ADP
cana-5492	76	16	a	a	DET
cana-5492	76	17	nsts	nst	NOUN
cana-5492	76	18	on	on	ADP
cana-5492	76	19	𝕎	𝕎	PROPN
cana-5492	76	20	&	&	CCONJ
cana-5492	76	21	let	let	VERB
cana-5492	76	22	(	(	PUNCT
cana-5492	76	23	s	s	X
cana-5492	76	24	,	,	PUNCT
cana-5492	76	25	ϱ	ϱ	NOUN
cana-5492	76	26	)	)	PUNCT
cana-5492	76	27	is	be	AUX
cana-5492	76	28	a	a	DET
cana-5492	76	29	nss	nss	NOUN
cana-5492	76	30	on	on	ADP
cana-5492	76	31	𝕎.	𝕎.	PROPN
cana-5492	76	32	then	then	ADV
cana-5492	76	33	(	(	PUNCT
cana-5492	76	34	s	s	X
cana-5492	76	35	,	,	PUNCT
cana-5492	76	36	ϱ	ϱ	NOUN
cana-5492	76	37	)	)	PUNCT
cana-5492	76	38	is	be	AUX
cana-5492	76	39	called	call	VERB
cana-5492	76	40	the	the	DET
cana-5492	76	41	ns	ns	PROPN
cana-5492	76	42	(	(	PUNCT
cana-5492	76	43	i	i	NOUN
cana-5492	76	44	)	)	PUNCT
cana-5492	76	45	regular	regular	ADJ
cana-5492	76	46	-	-	PUNCT
cana-5492	76	47	open	open	NOUN
cana-5492	76	48	set	set	NOUN
cana-5492	76	49	(	(	PUNCT
cana-5492	76	50	in	in	ADP
cana-5492	76	51	short	short	ADJ
cana-5492	76	52	,	,	PUNCT
cana-5492	76	53	nsros	nsros	PROPN
cana-5492	76	54	)	)	PUNCT
cana-5492	77	1	if	if	SCONJ
cana-5492	77	2	(	(	PUNCT
cana-5492	77	3	s	s	X
cana-5492	77	4	,	,	PUNCT
cana-5492	77	5	𝜚	𝜚	NOUN
cana-5492	77	6	)	)	PUNCT
cana-5492	77	7	=	=	SYM
cana-5492	77	8	nsint(nscl(s	nsint(nscl(s	PROPN
cana-5492	77	9	,	,	PUNCT
cana-5492	77	10	𝜚	𝜚	NOUN
cana-5492	77	11	)	)	PUNCT
cana-5492	77	12	)	)	PUNCT
cana-5492	77	13	.	.	PUNCT
cana-5492	78	1	(	(	PUNCT
cana-5492	78	2	ii	ii	NOUN
cana-5492	78	3	)	)	PUNCT
cana-5492	78	4	pre	pre	ADJ
cana-5492	78	5	-	-	ADJ
cana-5492	78	6	open	open	ADJ
cana-5492	78	7	set	set	NOUN
cana-5492	78	8	(	(	PUNCT
cana-5492	78	9	briefly	briefly	ADV
cana-5492	78	10	,	,	PUNCT
cana-5492	78	11	nspos	nspos	NOUN
cana-5492	78	12	)	)	PUNCT
cana-5492	78	13	if	if	SCONJ
cana-5492	78	14	(	(	PUNCT
cana-5492	78	15	s	s	X
cana-5492	78	16	,	,	PUNCT
cana-5492	78	17	ϱ	ϱ	NOUN
cana-5492	78	18	)	)	PUNCT
cana-5492	78	19	⊆	⊆	NUM
cana-5492	78	20	nsint(nscl(s	nsint(nscl(s	PROPN
cana-5492	78	21	,	,	PUNCT
cana-5492	78	22	ϱ	ϱ	NOUN
cana-5492	78	23	)	)	PUNCT
cana-5492	78	24	)	)	PUNCT
cana-5492	78	25	.	.	PUNCT
cana-5492	79	1	(	(	PUNCT
cana-5492	79	2	iii	iii	NOUN
cana-5492	79	3	)	)	PUNCT
cana-5492	79	4	semi	semi	ADJ
cana-5492	79	5	-	-	ADJ
cana-5492	79	6	open	open	ADJ
cana-5492	79	7	set	set	NOUN
cana-5492	79	8	(	(	PUNCT
cana-5492	79	9	briefly	briefly	ADV
cana-5492	79	10	,	,	PUNCT
cana-5492	79	11	nssos	nssos	ADV
cana-5492	79	12	)	)	PUNCT
cana-5492	79	13	if	if	SCONJ
cana-5492	79	14	(	(	PUNCT
cana-5492	79	15	s	s	X
cana-5492	79	16	,	,	PUNCT
cana-5492	79	17	ϱ	ϱ	NOUN
cana-5492	79	18	)	)	PUNCT
cana-5492	79	19	⊆	⊆	NUM
cana-5492	79	20	nscl(nsint(s	nscl(nsint(s	NUM
cana-5492	79	21	,	,	PUNCT
cana-5492	79	22	ϱ	ϱ	NOUN
cana-5492	79	23	)	)	PUNCT
cana-5492	79	24	)	)	PUNCT
cana-5492	79	25	.	.	PUNCT
cana-5492	80	1	(	(	PUNCT
cana-5492	80	2	iv	iv	X
cana-5492	80	3	)	)	PUNCT
cana-5492	80	4	𝛼-open	𝛼-open	NOUN
cana-5492	80	5	set	set	NOUN
cana-5492	80	6	(	(	PUNCT
cana-5492	80	7	shortly	shortly	ADV
cana-5492	80	8	,	,	PUNCT
cana-5492	80	9	ns𝛼os	ns𝛼os	ADJ
cana-5492	80	10	)	)	PUNCT
cana-5492	80	11	if	if	SCONJ
cana-5492	80	12	(	(	PUNCT
cana-5492	80	13	s	s	X
cana-5492	80	14	,	,	PUNCT
cana-5492	80	15	ϱ	ϱ	NOUN
cana-5492	80	16	)	)	PUNCT
cana-5492	80	17	⊆	⊆	NUM
cana-5492	80	18	nsint(nscl(nsint(s	nsint(nscl(nsint(s	PROPN
cana-5492	80	19	,	,	PUNCT
cana-5492	80	20	ϱ	ϱ	NOUN
cana-5492	80	21	)	)	PUNCT
cana-5492	80	22	)	)	PUNCT
cana-5492	80	23	)	)	PUNCT
cana-5492	80	24	.	.	PUNCT
cana-5492	81	1	(	(	PUNCT
cana-5492	81	2	v	v	NOUN
cana-5492	81	3	)	)	PUNCT
cana-5492	81	4	𝛽	𝛽	NOUN
cana-5492	81	5	−open	−open	NOUN
cana-5492	81	6	set	set	VERB
cana-5492	81	7	(	(	PUNCT
cana-5492	81	8	shortly	shortly	ADV
cana-5492	81	9	,	,	PUNCT
cana-5492	81	10	ns𝛽os	ns𝛽os	NOUN
cana-5492	81	11	)	)	PUNCT
cana-5492	81	12	if	if	SCONJ
cana-5492	81	13	(	(	PUNCT
cana-5492	81	14	s	s	X
cana-5492	81	15	,	,	PUNCT
cana-5492	81	16	ϱ	ϱ	NOUN
cana-5492	81	17	)	)	PUNCT
cana-5492	81	18	⊆	⊆	X
cana-5492	81	19	nscl(nsint(nscl(s	nscl(nsint(nscl(s	PROPN
cana-5492	81	20	,	,	PUNCT
cana-5492	81	21	ϱ	ϱ	NOUN
cana-5492	81	22	)	)	PUNCT
cana-5492	81	23	)	)	PUNCT
cana-5492	81	24	)	)	PUNCT
cana-5492	81	25	.	.	PUNCT
cana-5492	82	1	the	the	DET
cana-5492	82	2	complement	complement	NOUN
cana-5492	82	3	of	of	ADP
cana-5492	82	4	a	a	DET
cana-5492	82	5	nsros(resp	nsros(resp	PROPN
cana-5492	82	6	.	.	PUNCT
cana-5492	83	1	nspos	nspos	NOUN
cana-5492	83	2	,	,	PUNCT
cana-5492	83	3	nssos	nssos	ADV
cana-5492	83	4	,	,	PUNCT
cana-5492	83	5	ns𝛼os	ns𝛼os	ADJ
cana-5492	83	6	,	,	PUNCT
cana-5492	83	7	ns𝛽os	ns𝛽os	NOUN
cana-5492	83	8	)	)	PUNCT
cana-5492	83	9	is	be	AUX
cana-5492	83	10	called	call	VERB
cana-5492	83	11	a	a	DET
cana-5492	83	12	neutrosophic	neutrosophic	ADJ
cana-5492	83	13	soft	soft	ADJ
cana-5492	83	14	regular	regular	ADJ
cana-5492	83	15	(	(	PUNCT
cana-5492	83	16	resp	resp	NOUN
cana-5492	83	17	.	.	PUNCT
cana-5492	84	1	pre	pre	ADJ
cana-5492	84	2	,	,	PUNCT
cana-5492	84	3	semi	semi	ADV
cana-5492	84	4	,	,	PUNCT
cana-5492	84	5	𝛼	𝛼	X
cana-5492	84	6	,	,	PUNCT
cana-5492	84	7	𝛽	𝛽	NOUN
cana-5492	84	8	)	)	PUNCT
cana-5492	84	9	closed	closed	ADJ
cana-5492	84	10	set	set	VERB
cana-5492	84	11	(	(	PUNCT
cana-5492	84	12	shortly	shortly	ADV
cana-5492	84	13	,	,	PUNCT
cana-5492	84	14	nsrcs(resp	nsrcs(resp	PROPN
cana-5492	84	15	.	.	PUNCT
cana-5492	85	1	nspcs	nspcs	PROPN
cana-5492	85	2	,	,	PUNCT
cana-5492	85	3	nsscs	nssc	NOUN
cana-5492	85	4	,	,	PUNCT
cana-5492	85	5	ns𝛼cs	ns𝛼cs	ADJ
cana-5492	85	6	,	,	PUNCT
cana-5492	85	7	ns𝛽cs	ns𝛽cs	NOUN
cana-5492	85	8	)	)	PUNCT
cana-5492	85	9	)	)	PUNCT
cana-5492	85	10	in	in	ADP
cana-5492	85	11	𝕎.	𝕎.	PROPN
cana-5492	85	12	the	the	DET
cana-5492	85	13	family	family	NOUN
cana-5492	85	14	of	of	ADP
cana-5492	85	15	all	all	DET
cana-5492	85	16	nsros(resp	nsros(resp	PROPN
cana-5492	85	17	.	.	PUNCT
cana-5492	86	1	nsrcs	nsrcs	PROPN
cana-5492	86	2	,	,	PUNCT
cana-5492	86	3	nspos	nspos	NOUN
cana-5492	86	4	,	,	PUNCT
cana-5492	86	5	nspcs	nspc	NOUN
cana-5492	86	6	,	,	PUNCT
cana-5492	86	7	nssos	nssos	ADV
cana-5492	86	8	,	,	PUNCT
cana-5492	86	9	nsscs	nssc	NOUN
cana-5492	86	10	,	,	PUNCT
cana-5492	86	11	ns𝛼os	ns𝛼os	PROPN
cana-5492	86	12	,	,	PUNCT
cana-5492	86	13	ns𝛼cs	ns𝛼cs	ADJ
cana-5492	86	14	,	,	PUNCT
cana-5492	86	15	ns𝛽os	ns𝛽os	NOUN
cana-5492	86	16	,	,	PUNCT
cana-5492	86	17	ns𝛽cs	ns𝛽cs	NOUN
cana-5492	86	18	)	)	PUNCT
cana-5492	86	19	of	of	ADP
cana-5492	86	20	𝕎	𝕎	PROPN
cana-5492	86	21	is	be	AUX
cana-5492	86	22	represented	represent	VERB
cana-5492	86	23	by	by	ADP
cana-5492	86	24	nsros(𝕎	nsros(𝕎	PROPN
cana-5492	86	25	)	)	PUNCT
cana-5492	86	26	(	(	PUNCT
cana-5492	86	27	resp	resp	NOUN
cana-5492	86	28	.	.	PUNCT
cana-5492	87	1	nsrcs(𝕎	nsrcs(𝕎	ADV
cana-5492	87	2	)	)	PUNCT
cana-5492	87	3	,	,	PUNCT
cana-5492	87	4	nspos(𝕎	nspos(𝕎	NUM
cana-5492	87	5	)	)	PUNCT
cana-5492	87	6	nspcs(𝕎	nspcs(𝕎	PROPN
cana-5492	87	7	)	)	PUNCT
cana-5492	87	8	,	,	PUNCT
cana-5492	88	1	nssos(𝕎	nssos(𝕎	PROPN
cana-5492	88	2	)	)	PUNCT
cana-5492	88	3	,	,	PUNCT
cana-5492	88	4	nsscs(𝕎	nsscs(𝕎	PROPN
cana-5492	88	5	)	)	PUNCT
cana-5492	88	6	,	,	PUNCT
cana-5492	88	7	ns𝛼os(𝕎	ns𝛼os(𝕎	PROPN
cana-5492	88	8	)	)	PUNCT
cana-5492	88	9	,	,	PUNCT
cana-5492	88	10	ns𝛼cs(𝕎	ns𝛼cs(𝕎	NOUN
cana-5492	88	11	)	)	PUNCT
cana-5492	88	12	,	,	PUNCT
cana-5492	88	13	ns𝛽os(𝕎	ns𝛽os(𝕎	PROPN
cana-5492	88	14	)	)	PUNCT
cana-5492	88	15	,	,	PUNCT
cana-5492	88	16	ns𝛽cs(𝕎	ns𝛽cs(𝕎	PROPN
cana-5492	88	17	)	)	PUNCT
cana-5492	88	18	)	)	PUNCT
cana-5492	88	19	.	.	PUNCT
cana-5492	89	1	communications	communication	NOUN
cana-5492	89	2	on	on	ADP
cana-5492	89	3	applied	apply	VERB
cana-5492	89	4	nonlinear	nonlinear	ADJ
cana-5492	89	5	analysis	analysis	NOUN
cana-5492	89	6	issn	issn	NOUN
cana-5492	89	7	:	:	PUNCT
cana-5492	89	8	1074	1074	NUM
cana-5492	89	9	-	-	PUNCT
cana-5492	89	10	133x	133x	NUM
cana-5492	89	11	vol	vol	VERB
cana-5492	89	12	32	32	NUM
cana-5492	89	13	no	no	NOUN
cana-5492	89	14	.	.	PUNCT
cana-5492	90	1	10s	10	NOUN
cana-5492	90	2	(	(	PUNCT
cana-5492	90	3	2025	2025	NUM
cana-5492	90	4	)	)	PUNCT
cana-5492	90	5	2445	2445	NUM
cana-5492	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	90	7	definition	definition	NOUN
cana-5492	90	8	2.8	2.8	NUM
cana-5492	90	9	[	[	X
cana-5492	90	10	1	1	NUM
cana-5492	90	11	]	]	X
cana-5492	90	12	let	let	AUX
cana-5492	90	13	(	(	PUNCT
cana-5492	90	14	d	d	NOUN
cana-5492	90	15	,	,	PUNCT
cana-5492	90	16	ϱ	ϱ	NOUN
cana-5492	90	17	)	)	PUNCT
cana-5492	90	18	be	be	VERB
cana-5492	90	19	a	a	DET
cana-5492	90	20	nsts	nst	NOUN
cana-5492	90	21	.	.	PUNCT
cana-5492	91	1	then	then	ADV
cana-5492	91	2	(	(	PUNCT
cana-5492	91	3	i	i	NOUN
cana-5492	91	4	)	)	PUNCT
cana-5492	91	5	neutrosophic	neutrosophic	ADJ
cana-5492	91	6	soft	soft	ADJ
cana-5492	91	7	δ	δ	NOUN
cana-5492	91	8	-	-	NOUN
cana-5492	91	9	interior	interior	ADJ
cana-5492	91	10	of	of	ADP
cana-5492	91	11	(	(	PUNCT
cana-5492	91	12	d	d	PROPN
cana-5492	91	13	,	,	PUNCT
cana-5492	91	14	ϱ	ϱ	NOUN
cana-5492	91	15	)	)	PUNCT
cana-5492	91	16	(	(	PUNCT
cana-5492	91	17	in	in	ADP
cana-5492	91	18	short	short	ADJ
cana-5492	91	19	,	,	PUNCT
cana-5492	91	20	nsδint(d	nsδint(d	PROPN
cana-5492	91	21	,	,	PUNCT
cana-5492	91	22	ϱ	ϱ	NOUN
cana-5492	91	23	)	)	PUNCT
cana-5492	91	24	)	)	PUNCT
cana-5492	91	25	is	be	AUX
cana-5492	91	26	defined	define	VERB
cana-5492	91	27	by	by	ADP
cana-5492	91	28	nsδint(d	nsδint(d	PROPN
cana-5492	91	29	,	,	PUNCT
cana-5492	91	30	ϱ	ϱ	NOUN
cana-5492	91	31	)	)	PUNCT
cana-5492	91	32	=	=	SYM
cana-5492	91	33	⋃{(d	⋃{(d	PROPN
cana-5492	91	34	,	,	PUNCT
cana-5492	91	35	ϱ	ϱ	NOUN
cana-5492	91	36	)	)	PUNCT
cana-5492	91	37	∶	∶	NOUN
cana-5492	91	38	(	(	PUNCT
cana-5492	91	39	s	s	X
cana-5492	91	40	,	,	PUNCT
cana-5492	91	41	ϱ	ϱ	NOUN
cana-5492	91	42	)	)	PUNCT
cana-5492	91	43	⊆	⊆	NUM
cana-5492	91	44	(	(	PUNCT
cana-5492	91	45	d	d	NOUN
cana-5492	91	46	,	,	PUNCT
cana-5492	91	47	ϱ	ϱ	NOUN
cana-5492	91	48	)	)	PUNCT
cana-5492	91	49	and	and	CCONJ
cana-5492	91	50	(	(	PUNCT
cana-5492	91	51	s	s	X
cana-5492	91	52	,	,	PUNCT
cana-5492	91	53	ϱ	ϱ	NOUN
cana-5492	91	54	)	)	PUNCT
cana-5492	91	55	is	be	AUX
cana-5492	91	56	a	a	DET
cana-5492	91	57	nsros	nsro	NOUN
cana-5492	91	58	in	in	ADP
cana-5492	91	59	𝕎	𝕎	PROPN
cana-5492	91	60	}	}	PUNCT
cana-5492	91	61	(	(	PUNCT
cana-5492	91	62	ii	ii	NOUN
cana-5492	91	63	)	)	PUNCT
cana-5492	91	64	neutrosophic	neutrosophic	ADJ
cana-5492	91	65	soft	soft	ADJ
cana-5492	91	66	δ	δ	NOUN
cana-5492	91	67	-	-	NOUN
cana-5492	91	68	closure	closure	NOUN
cana-5492	91	69	of	of	ADP
cana-5492	91	70	(	(	PUNCT
cana-5492	91	71	d	d	PROPN
cana-5492	91	72	,	,	PUNCT
cana-5492	91	73	ϱ	ϱ	NOUN
cana-5492	91	74	)	)	PUNCT
cana-5492	91	75	(	(	PUNCT
cana-5492	91	76	in	in	ADP
cana-5492	91	77	short	short	ADJ
cana-5492	91	78	,	,	PUNCT
cana-5492	91	79	nsδcl(d	nsδcl(d	PROPN
cana-5492	91	80	,	,	PUNCT
cana-5492	91	81	ϱ	ϱ	NOUN
cana-5492	91	82	)	)	PUNCT
cana-5492	91	83	)	)	PUNCT
cana-5492	91	84	is	be	AUX
cana-5492	91	85	defined	define	VERB
cana-5492	91	86	by	by	ADP
cana-5492	91	87	nsδcl(d	nsδcl(d	PROPN
cana-5492	91	88	,	,	PUNCT
cana-5492	91	89	ϱ	ϱ	NOUN
cana-5492	91	90	)	)	PUNCT
cana-5492	91	91	=	=	SYM
cana-5492	91	92	⋂{(s	⋂{(s	NUM
cana-5492	91	93	,	,	PUNCT
cana-5492	91	94	ϱ	ϱ	NOUN
cana-5492	91	95	)	)	PUNCT
cana-5492	91	96	∶	∶	NOUN
cana-5492	91	97	(	(	PUNCT
cana-5492	91	98	s	s	X
cana-5492	91	99	,	,	PUNCT
cana-5492	91	100	ϱ	ϱ	NOUN
cana-5492	91	101	)	)	PUNCT
cana-5492	91	102	⊇	⊇	NOUN
cana-5492	91	103	(	(	PUNCT
cana-5492	91	104	d	d	NOUN
cana-5492	91	105	,	,	PUNCT
cana-5492	91	106	ϱ	ϱ	NOUN
cana-5492	91	107	)	)	PUNCT
cana-5492	91	108	&	&	CCONJ
cana-5492	91	109	(	(	PUNCT
cana-5492	91	110	s	s	PROPN
cana-5492	91	111	,	,	PUNCT
cana-5492	91	112	ϱ	ϱ	NOUN
cana-5492	91	113	)	)	PUNCT
cana-5492	91	114	is	be	AUX
cana-5492	91	115	a	a	DET
cana-5492	91	116	nsrcs	nsrcs	NOUN
cana-5492	91	117	in	in	ADP
cana-5492	91	118	𝕎	𝕎	PROPN
cana-5492	91	119	}	}	PUNCT
cana-5492	91	120	definition	definition	NOUN
cana-5492	91	121	2.9	2.9	NUM
cana-5492	92	1	[	[	NOUN
cana-5492	92	2	1	1	X
cana-5492	92	3	]	]	PUNCT
cana-5492	92	4	a	a	DET
cana-5492	92	5	nss	nss	NOUN
cana-5492	92	6	(	(	PUNCT
cana-5492	92	7	d	d	NOUN
cana-5492	92	8	,	,	PUNCT
cana-5492	92	9	ϱ	ϱ	NOUN
cana-5492	92	10	)	)	PUNCT
cana-5492	92	11	is	be	AUX
cana-5492	92	12	referred	refer	VERB
cana-5492	92	13	as	as	ADP
cana-5492	92	14	the	the	DET
cana-5492	92	15	neutrosophic	neutrosophic	ADJ
cana-5492	92	16	soft	soft	ADJ
cana-5492	92	17	δ	δ	NOUN
cana-5492	92	18	-	-	NOUN
cana-5492	92	19	open	open	ADJ
cana-5492	92	20	set(shortly	set(shortly	ADV
cana-5492	92	21	,	,	PUNCT
cana-5492	92	22	nsδos	nsδo	NOUN
cana-5492	92	23	)	)	PUNCT
cana-5492	92	24	if	if	SCONJ
cana-5492	92	25	(	(	PUNCT
cana-5492	92	26	d	d	NOUN
cana-5492	92	27	,	,	PUNCT
cana-5492	92	28	ϱ	ϱ	NOUN
cana-5492	92	29	)	)	PUNCT
cana-5492	92	30	=	=	SYM
cana-5492	92	31	nsδint(d	nsδint(d	PROPN
cana-5492	92	32	,	,	PUNCT
cana-5492	92	33	ϱ	ϱ	NOUN
cana-5492	92	34	)	)	PUNCT
cana-5492	92	35	.	.	PUNCT
cana-5492	93	1	the	the	DET
cana-5492	93	2	complement	complement	NOUN
cana-5492	93	3	of	of	ADP
cana-5492	93	4	nsδos	nsδos	NOUN
cana-5492	93	5	is	be	AUX
cana-5492	93	6	called	call	VERB
cana-5492	93	7	nsδcs	nsδc	NOUN
cana-5492	93	8	.	.	PUNCT
cana-5492	94	1	definition	definition	NOUN
cana-5492	94	2	2.10	2.10	NUM
cana-5492	94	3	[	[	NOUN
cana-5492	94	4	13	13	NUM
cana-5492	94	5	]	]	PUNCT
cana-5492	94	6	a	a	DET
cana-5492	94	7	nss	nss	NOUN
cana-5492	94	8	(	(	PUNCT
cana-5492	94	9	d	d	NOUN
cana-5492	94	10	,	,	PUNCT
cana-5492	94	11	ϱ	ϱ	NOUN
cana-5492	94	12	)	)	PUNCT
cana-5492	94	13	is	be	AUX
cana-5492	94	14	called	call	VERB
cana-5492	94	15	the	the	DET
cana-5492	94	16	neutrosophic	neutrosophic	ADJ
cana-5492	94	17	soft	soft	ADJ
cana-5492	94	18	(	(	PUNCT
cana-5492	94	19	i	i	NOUN
cana-5492	94	20	)	)	PUNCT
cana-5492	94	21	δ	δ	PROPN
cana-5492	94	22	-	-	PUNCT
cana-5492	94	23	semiopen	semiopen	ADJ
cana-5492	94	24	set	set	NOUN
cana-5492	94	25	(	(	PUNCT
cana-5492	94	26	in	in	ADP
cana-5492	94	27	short	short	ADJ
cana-5492	94	28	,	,	PUNCT
cana-5492	94	29	nsδsos	nsδsos	PROPN
cana-5492	94	30	)	)	PUNCT
cana-5492	94	31	if	if	SCONJ
cana-5492	94	32	(	(	PUNCT
cana-5492	94	33	d	d	NOUN
cana-5492	94	34	,	,	PUNCT
cana-5492	94	35	ϱ	ϱ	NOUN
cana-5492	94	36	)	)	PUNCT
cana-5492	94	37	⊆	⊆	NUM
cana-5492	94	38	nscl(nsδint(d	nscl(nsδint(d	NOUN
cana-5492	94	39	,	,	PUNCT
cana-5492	94	40	ϱ	ϱ	NOUN
cana-5492	94	41	)	)	PUNCT
cana-5492	94	42	)	)	PUNCT
cana-5492	94	43	.	.	PUNCT
cana-5492	95	1	(	(	PUNCT
cana-5492	95	2	ii	ii	NOUN
cana-5492	95	3	)	)	PUNCT
cana-5492	95	4	e	e	NOUN
cana-5492	95	5	-	-	ADJ
cana-5492	95	6	open	open	ADJ
cana-5492	95	7	set	set	NOUN
cana-5492	95	8	(	(	PUNCT
cana-5492	95	9	briefly	briefly	ADV
cana-5492	95	10	,	,	PUNCT
cana-5492	95	11	nseos	nseos	NOUN
cana-5492	95	12	)	)	PUNCT
cana-5492	95	13	if	if	SCONJ
cana-5492	95	14	(	(	PUNCT
cana-5492	95	15	d	d	NOUN
cana-5492	95	16	,	,	PUNCT
cana-5492	95	17	ϱ	ϱ	NOUN
cana-5492	95	18	)	)	PUNCT
cana-5492	95	19	⊆	⊆	NUM
cana-5492	95	20	nscl(nsδint(d	nscl(nsδint(d	NOUN
cana-5492	95	21	,	,	PUNCT
cana-5492	95	22	ϱ	ϱ	NOUN
cana-5492	95	23	)	)	PUNCT
cana-5492	95	24	)	)	PUNCT
cana-5492	95	25	∪	∪	ADP
cana-5492	95	26	nsint(nsδcl(d	nsint(nsδcl(d	ADJ
cana-5492	95	27	,	,	PUNCT
cana-5492	95	28	ϱ	ϱ	NOUN
cana-5492	95	29	)	)	PUNCT
cana-5492	95	30	)	)	PUNCT
cana-5492	95	31	.	.	PUNCT
cana-5492	96	1	the	the	DET
cana-5492	96	2	complement	complement	NOUN
cana-5492	96	3	of	of	ADP
cana-5492	96	4	nsδsos	nsδsos	NOUN
cana-5492	96	5	and	and	CCONJ
cana-5492	96	6	nseos	nseos	NOUN
cana-5492	96	7	is	be	AUX
cana-5492	96	8	called	call	VERB
cana-5492	96	9	nsδscs	nsδsc	NOUN
cana-5492	96	10	and	and	CCONJ
cana-5492	96	11	nsecs	nsec	NOUN
cana-5492	96	12	.	.	PUNCT
cana-5492	97	1	throughout	throughout	ADP
cana-5492	97	2	this	this	DET
cana-5492	97	3	paper	paper	NOUN
cana-5492	97	4	,	,	PUNCT
cana-5492	97	5	let	let	VERB
cana-5492	97	6	(	(	PUNCT
cana-5492	97	7	𝕎	𝕎	PROPN
cana-5492	97	8	,	,	PUNCT
cana-5492	97	9	𝜏	𝜏	NOUN
cana-5492	97	10	,	,	PUNCT
cana-5492	97	11	ϱ	ϱ	NOUN
cana-5492	97	12	)	)	PUNCT
cana-5492	97	13	be	be	VERB
cana-5492	97	14	any	any	DET
cana-5492	97	15	nsts	nst	NOUN
cana-5492	97	16	.	.	PUNCT
cana-5492	98	1	let	let	VERB
cana-5492	98	2	(	(	PUNCT
cana-5492	98	3	s	s	X
cana-5492	98	4	,	,	PUNCT
cana-5492	98	5	ϱ	ϱ	NOUN
cana-5492	98	6	)	)	PUNCT
cana-5492	98	7	&	&	CCONJ
cana-5492	98	8	(	(	PUNCT
cana-5492	98	9	d	d	PROPN
cana-5492	98	10	,	,	PUNCT
cana-5492	98	11	ϱ	ϱ	NOUN
cana-5492	98	12	)	)	PUNCT
cana-5492	98	13	be	be	VERB
cana-5492	98	14	a	a	DET
cana-5492	98	15	neutrosophic	neutrosophic	ADJ
cana-5492	98	16	soft	soft	ADJ
cana-5492	98	17	sets	set	NOUN
cana-5492	98	18	in	in	ADP
cana-5492	98	19	nsts	nst	NOUN
cana-5492	98	20	.	.	PUNCT
cana-5492	99	1	3	3	X
cana-5492	99	2	.	.	NUM
cana-5492	99	3	neutrosophic	neutrosophic	ADJ
cana-5492	99	4	soft	soft	ADJ
cana-5492	99	5	contra	contra	PROPN
cana-5492	99	6	z	z	PROPN
cana-5492	99	7	continuous	continuous	ADJ
cana-5492	99	8	maps	map	NOUN
cana-5492	99	9	definition	definition	NOUN
cana-5492	99	10	3.1	3.1	NUM
cana-5492	99	11	a	a	DET
cana-5492	99	12	mapping	mapping	NOUN
cana-5492	99	13	𝒢	𝒢	NOUN
cana-5492	99	14	:	:	PUNCT
cana-5492	99	15	(	(	PUNCT
cana-5492	99	16	𝕎	𝕎	PROPN
cana-5492	99	17	,	,	PUNCT
cana-5492	99	18	τ	τ	PROPN
cana-5492	99	19	,	,	PUNCT
cana-5492	99	20	ϱ	ϱ	PROPN
cana-5492	99	21	)	)	PUNCT
cana-5492	99	22	→	→	SYM
cana-5492	99	23	(	(	PUNCT
cana-5492	99	24	𝕋	𝕋	PROPN
cana-5492	99	25	,	,	PUNCT
cana-5492	99	26	σ	σ	PROPN
cana-5492	99	27	,	,	PUNCT
cana-5492	99	28	ϱ	ϱ	NOUN
cana-5492	99	29	)	)	PUNCT
cana-5492	99	30	is	be	AUX
cana-5492	99	31	said	say	VERB
cana-5492	99	32	to	to	PART
cana-5492	99	33	be	be	AUX
cana-5492	99	34	a	a	DET
cana-5492	99	35	neutrosophic	neutrosophic	ADJ
cana-5492	99	36	soft	soft	ADJ
cana-5492	99	37	contra	contra	PROPN
cana-5492	99	38	zcontinuous	zcontinuous	PROPN
cana-5492	99	39	(	(	PUNCT
cana-5492	99	40	shortly	shortly	ADV
cana-5492	99	41	,	,	PUNCT
cana-5492	99	42	nscontrazcts	nscontrazct	VERB
cana-5492	99	43	)	)	PUNCT
cana-5492	99	44	if	if	SCONJ
cana-5492	99	45	the	the	DET
cana-5492	99	46	inverse	inverse	ADJ
cana-5492	99	47	image	image	NOUN
cana-5492	99	48	of	of	ADP
cana-5492	99	49	each	each	DET
cana-5492	99	50	nsos	nsos	NOUN
cana-5492	99	51	of	of	ADP
cana-5492	99	52	(	(	PUNCT
cana-5492	99	53	𝕋	𝕋	PROPN
cana-5492	99	54	,	,	PUNCT
cana-5492	99	55	σ	σ	PROPN
cana-5492	99	56	,	,	PUNCT
cana-5492	99	57	ϱ	ϱ	NOUN
cana-5492	99	58	)	)	PUNCT
cana-5492	99	59	is	be	AUX
cana-5492	99	60	nszcs	nszcs	NOUN
cana-5492	99	61	in	in	ADP
cana-5492	99	62	(	(	PUNCT
cana-5492	99	63	𝕎	𝕎	PROPN
cana-5492	99	64	,	,	PUNCT
cana-5492	99	65	τ	τ	PROPN
cana-5492	99	66	,	,	PUNCT
cana-5492	99	67	ϱ	ϱ	NOUN
cana-5492	99	68	)	)	PUNCT
cana-5492	99	69	.	.	PUNCT
cana-5492	100	1	example	example	NOUN
cana-5492	100	2	3.1	3.1	NUM
cana-5492	100	3	let	let	VERB
cana-5492	100	4	𝕎	𝕎	PROPN
cana-5492	100	5	=	=	SYM
cana-5492	100	6	{	{	PUNCT
cana-5492	100	7	𝑤1	𝑤1	PROPN
cana-5492	100	8	,	,	PUNCT
cana-5492	100	9	𝑤2	𝑤2	NOUN
cana-5492	100	10	,	,	PUNCT
cana-5492	100	11	𝑤3	𝑤3	NOUN
cana-5492	100	12	}	}	PUNCT
cana-5492	100	13	=	=	SYM
cana-5492	100	14	{	{	PUNCT
cana-5492	100	15	𝑡1	𝑡1	NOUN
cana-5492	100	16	,	,	PUNCT
cana-5492	100	17	𝑡2	𝑡2	PROPN
cana-5492	100	18	,	,	PUNCT
cana-5492	100	19	𝑡3	𝑡3	PROPN
cana-5492	100	20	}	}	PUNCT
cana-5492	100	21	=	=	SYM
cana-5492	100	22	𝕋	𝕋	PROPN
cana-5492	100	23	,	,	PUNCT
cana-5492	100	24	ϱ	ϱ	NOUN
cana-5492	100	25	=	=	SYM
cana-5492	100	26	{	{	PUNCT
cana-5492	100	27	𝑒1	𝑒1	NOUN
cana-5492	100	28	,	,	PUNCT
cana-5492	100	29	𝑒2	𝑒2	NOUN
cana-5492	100	30	}	}	PUNCT
cana-5492	100	31	and	and	CCONJ
cana-5492	100	32	ns	ns	NUM
cana-5492	100	33	sets	set	NOUN
cana-5492	100	34	(	(	PUNCT
cana-5492	100	35	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	100	36	)	)	PUNCT
cana-5492	100	37	,	,	PUNCT
cana-5492	100	38	(	(	PUNCT
cana-5492	100	39	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	100	40	)	)	PUNCT
cana-5492	100	41	and	and	CCONJ
cana-5492	100	42	(	(	PUNCT
cana-5492	100	43	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	100	44	)	)	PUNCT
cana-5492	100	45	in	in	ADP
cana-5492	100	46	𝕎	𝕎	PROPN
cana-5492	100	47	and	and	CCONJ
cana-5492	100	48	(	(	PUNCT
cana-5492	100	49	𝑉1	𝑉1	PROPN
cana-5492	100	50	,	,	PUNCT
cana-5492	100	51	ϱ	ϱ	NOUN
cana-5492	100	52	)	)	PUNCT
cana-5492	100	53	in	in	ADP
cana-5492	100	54	𝕋	𝕋	PRON
cana-5492	100	55	are	be	AUX
cana-5492	100	56	defined	define	VERB
cana-5492	100	57	as	as	ADP
cana-5492	100	58	(	(	PUNCT
cana-5492	100	59	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	100	60	)	)	PUNCT
cana-5492	100	61	=	=	PUNCT
cana-5492	101	1	〈	〈	PROPN
cana-5492	101	2	(	(	PUNCT
cana-5492	101	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	101	4	,	,	PUNCT
cana-5492	101	5	0.4	0.4	NUM
cana-5492	101	6	,	,	PUNCT
cana-5492	101	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	101	8	0.5	0.5	NUM
cana-5492	101	9	,	,	PUNCT
cana-5492	101	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	101	11	0.6	0.6	NUM
cana-5492	101	12	)	)	PUNCT
cana-5492	101	13	,	,	PUNCT
cana-5492	101	14	(	(	PUNCT
cana-5492	101	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	101	16	0.5	0.5	NUM
cana-5492	101	17	,	,	PUNCT
cana-5492	101	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	101	19	0.4	0.4	NUM
cana-5492	101	20	,	,	PUNCT
cana-5492	101	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	101	22	0.8	0.8	NUM
cana-5492	101	23	)	)	PUNCT
cana-5492	101	24	,	,	PUNCT
cana-5492	101	25	(	(	PUNCT
cana-5492	101	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	101	27	0.4	0.4	NUM
cana-5492	101	28	,	,	PUNCT
cana-5492	101	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	101	30	0.5	0.5	NUM
cana-5492	101	31	,	,	PUNCT
cana-5492	101	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	101	33	0.7	0.7	NUM
cana-5492	101	34	)	)	PUNCT
cana-5492	101	35	〉	〉	NOUN
cana-5492	101	36	(	(	PUNCT
cana-5492	101	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	101	38	)	)	PUNCT
cana-5492	101	39	=	=	PUNCT
cana-5492	101	40	〈	〈	PROPN
cana-5492	101	41	(	(	PUNCT
cana-5492	101	42	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	101	43	,	,	PUNCT
cana-5492	101	44	0.2	0.2	NUM
cana-5492	101	45	,	,	PUNCT
cana-5492	101	46	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	101	47	0.4	0.4	NUM
cana-5492	101	48	,	,	PUNCT
cana-5492	101	49	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	101	50	0.6	0.6	NUM
cana-5492	101	51	)	)	PUNCT
cana-5492	101	52	,	,	PUNCT
cana-5492	101	53	(	(	PUNCT
cana-5492	101	54	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	101	55	0.2	0.2	NUM
cana-5492	101	56	,	,	PUNCT
cana-5492	101	57	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	101	58	0.5	0.5	NUM
cana-5492	101	59	,	,	PUNCT
cana-5492	101	60	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	101	61	0.7	0.7	NUM
cana-5492	101	62	)	)	PUNCT
cana-5492	101	63	,	,	PUNCT
cana-5492	101	64	(	(	PUNCT
cana-5492	101	65	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	101	66	0.2	0.2	NUM
cana-5492	101	67	,	,	PUNCT
cana-5492	101	68	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	101	69	0.5	0.5	NUM
cana-5492	101	70	,	,	PUNCT
cana-5492	101	71	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	101	72	0.8	0.8	NUM
cana-5492	101	73	)	)	PUNCT
cana-5492	101	74	〉	〉	NOUN
cana-5492	101	75	(	(	PUNCT
cana-5492	101	76	𝑆2	𝑆2	PROPN
cana-5492	101	77	,	,	PUNCT
cana-5492	101	78	𝑒1	𝑒1	NOUN
cana-5492	101	79	)	)	PUNCT
cana-5492	101	80	=	=	PUNCT
cana-5492	101	81	〈	〈	PROPN
cana-5492	101	82	(	(	PUNCT
cana-5492	101	83	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	101	84	,	,	PUNCT
cana-5492	101	85	0.5	0.5	NUM
cana-5492	101	86	,	,	PUNCT
cana-5492	101	87	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	101	88	0.5	0.5	NUM
cana-5492	101	89	,	,	PUNCT
cana-5492	101	90	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	101	91	0.6	0.6	NUM
cana-5492	101	92	)	)	PUNCT
cana-5492	101	93	,	,	PUNCT
cana-5492	101	94	(	(	PUNCT
cana-5492	101	95	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	101	96	0.5	0.5	NUM
cana-5492	101	97	,	,	PUNCT
cana-5492	101	98	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	101	99	0.5	0.5	NUM
cana-5492	101	100	,	,	PUNCT
cana-5492	101	101	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	101	102	0.5	0.5	NUM
cana-5492	101	103	)	)	PUNCT
cana-5492	101	104	,	,	PUNCT
cana-5492	101	105	(	(	PUNCT
cana-5492	101	106	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	101	107	0.6	0.6	NUM
cana-5492	101	108	,	,	PUNCT
cana-5492	101	109	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	101	110	0.5	0.5	NUM
cana-5492	101	111	,	,	PUNCT
cana-5492	101	112	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	101	113	0.6	0.6	NUM
cana-5492	101	114	)	)	PUNCT
cana-5492	101	115	〉	〉	NOUN
cana-5492	101	116	(	(	PUNCT
cana-5492	101	117	𝑆2	𝑆2	PROPN
cana-5492	101	118	,	,	PUNCT
cana-5492	101	119	𝑒2	𝑒2	PROPN
cana-5492	101	120	)	)	PUNCT
cana-5492	101	121	=	=	PUNCT
cana-5492	102	1	〈	〈	PROPN
cana-5492	102	2	(	(	PUNCT
cana-5492	102	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	102	4	,	,	PUNCT
cana-5492	102	5	0.4	0.4	NUM
cana-5492	102	6	,	,	PUNCT
cana-5492	102	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	102	8	0.6	0.6	NUM
cana-5492	102	9	,	,	PUNCT
cana-5492	102	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	102	11	0.6	0.6	NUM
cana-5492	102	12	)	)	PUNCT
cana-5492	102	13	,	,	PUNCT
cana-5492	102	14	(	(	PUNCT
cana-5492	102	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	102	16	0.3	0.3	NUM
cana-5492	102	17	,	,	PUNCT
cana-5492	102	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	102	19	0.5	0.5	NUM
cana-5492	102	20	,	,	PUNCT
cana-5492	102	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	102	22	0.7	0.7	NUM
cana-5492	102	23	)	)	PUNCT
cana-5492	102	24	,	,	PUNCT
cana-5492	102	25	(	(	PUNCT
cana-5492	102	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	102	27	0.3	0.3	NUM
cana-5492	102	28	,	,	PUNCT
cana-5492	102	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	102	30	0.7	0.7	NUM
cana-5492	102	31	,	,	PUNCT
cana-5492	102	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	102	33	0.4	0.4	NUM
cana-5492	102	34	)	)	PUNCT
cana-5492	102	35	〉	〉	NOUN
cana-5492	102	36	(	(	PUNCT
cana-5492	102	37	𝑆3	𝑆3	PROPN
cana-5492	102	38	,	,	PUNCT
cana-5492	102	39	𝑒1	𝑒1	NOUN
cana-5492	102	40	)	)	PUNCT
cana-5492	102	41	=	=	PUNCT
cana-5492	103	1	〈	〈	PROPN
cana-5492	103	2	(	(	PUNCT
cana-5492	103	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	103	4	,	,	PUNCT
cana-5492	103	5	0.3	0.3	NUM
cana-5492	103	6	,	,	PUNCT
cana-5492	103	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	103	8	0.4	0.4	NUM
cana-5492	103	9	,	,	PUNCT
cana-5492	103	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	103	11	0.7	0.7	NUM
cana-5492	103	12	)	)	PUNCT
cana-5492	103	13	,	,	PUNCT
cana-5492	103	14	(	(	PUNCT
cana-5492	103	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	103	16	0.1	0.1	NUM
cana-5492	103	17	,	,	PUNCT
cana-5492	103	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	103	19	0.3	0.3	NUM
cana-5492	103	20	,	,	PUNCT
cana-5492	103	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	103	22	0.8	0.8	NUM
cana-5492	103	23	)	)	PUNCT
cana-5492	103	24	,	,	PUNCT
cana-5492	103	25	(	(	PUNCT
cana-5492	103	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	103	27	0.2	0.2	NUM
cana-5492	103	28	,	,	PUNCT
cana-5492	103	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	103	30	0.3	0.3	NUM
cana-5492	103	31	,	,	PUNCT
cana-5492	103	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	103	33	0.8	0.8	NUM
cana-5492	103	34	)	)	PUNCT
cana-5492	103	35	〉	〉	NOUN
cana-5492	103	36	(	(	PUNCT
cana-5492	103	37	𝑆3	𝑆3	PROPN
cana-5492	103	38	,	,	PUNCT
cana-5492	103	39	𝑒2	𝑒2	PROPN
cana-5492	103	40	)	)	PUNCT
cana-5492	103	41	=	=	PUNCT
cana-5492	104	1	〈	〈	PROPN
cana-5492	104	2	(	(	PUNCT
cana-5492	104	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	104	4	,	,	PUNCT
cana-5492	104	5	0.1	0.1	NUM
cana-5492	104	6	,	,	PUNCT
cana-5492	104	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	104	8	0.3	0.3	NUM
cana-5492	104	9	,	,	PUNCT
cana-5492	104	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	104	11	0.7	0.7	NUM
cana-5492	104	12	)	)	PUNCT
cana-5492	104	13	,	,	PUNCT
cana-5492	104	14	(	(	PUNCT
cana-5492	104	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	104	16	0.1	0.1	NUM
cana-5492	104	17	,	,	PUNCT
cana-5492	104	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	104	19	0.5	0.5	NUM
cana-5492	104	20	,	,	PUNCT
cana-5492	104	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	104	22	0.8	0.8	NUM
cana-5492	104	23	)	)	PUNCT
cana-5492	104	24	,	,	PUNCT
cana-5492	104	25	(	(	PUNCT
cana-5492	104	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	104	27	0.1	0.1	NUM
cana-5492	104	28	,	,	PUNCT
cana-5492	104	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	104	30	0.5	0.5	NUM
cana-5492	104	31	,	,	PUNCT
cana-5492	104	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	104	33	0.9	0.9	NUM
cana-5492	104	34	)	)	PUNCT
cana-5492	104	35	〉	〉	NOUN
cana-5492	104	36	(	(	PUNCT
cana-5492	104	37	𝑆4	𝑆4	PROPN
cana-5492	104	38	,	,	PUNCT
cana-5492	104	39	𝑒1	𝑒1	NOUN
cana-5492	104	40	)	)	PUNCT
cana-5492	104	41	=	=	SYM
cana-5492	104	42	〈	〈	PROPN
cana-5492	104	43	(	(	PUNCT
cana-5492	104	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	104	45	,	,	PUNCT
cana-5492	104	46	0.6	0.6	NUM
cana-5492	104	47	,	,	PUNCT
cana-5492	104	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	104	49	0.5	0.5	NUM
cana-5492	104	50	,	,	PUNCT
cana-5492	104	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	104	52	0.5	0.5	NUM
cana-5492	104	53	)	)	PUNCT
cana-5492	104	54	,	,	PUNCT
cana-5492	104	55	(	(	PUNCT
cana-5492	104	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	104	57	0.5	0.5	NUM
cana-5492	104	58	,	,	PUNCT
cana-5492	104	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	104	60	0.5	0.5	NUM
cana-5492	104	61	,	,	PUNCT
cana-5492	104	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	104	63	0.5	0.5	NUM
cana-5492	104	64	)	)	PUNCT
cana-5492	104	65	,	,	PUNCT
cana-5492	104	66	(	(	PUNCT
cana-5492	104	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	104	68	0.6	0.6	NUM
cana-5492	104	69	,	,	PUNCT
cana-5492	104	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	104	71	0.5	0.5	NUM
cana-5492	104	72	,	,	PUNCT
cana-5492	104	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	104	74	0.6	0.6	NUM
cana-5492	104	75	)	)	PUNCT
cana-5492	104	76	〉	〉	NOUN
cana-5492	104	77	(	(	PUNCT
cana-5492	104	78	𝑆4	𝑆4	PROPN
cana-5492	104	79	,	,	PUNCT
cana-5492	104	80	𝑒2	𝑒2	PROPN
cana-5492	104	81	)	)	PUNCT
cana-5492	104	82	=	=	PUNCT
cana-5492	105	1	〈	〈	PROPN
cana-5492	105	2	(	(	PUNCT
cana-5492	105	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	105	4	,	,	PUNCT
cana-5492	105	5	0.6	0.6	NUM
cana-5492	105	6	,	,	PUNCT
cana-5492	105	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	105	8	0.4	0.4	NUM
cana-5492	105	9	,	,	PUNCT
cana-5492	105	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	105	11	0.4	0.4	NUM
cana-5492	105	12	)	)	PUNCT
cana-5492	105	13	,	,	PUNCT
cana-5492	105	14	(	(	PUNCT
cana-5492	105	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	105	16	0.7	0.7	NUM
cana-5492	105	17	,	,	PUNCT
cana-5492	105	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	105	19	0.5	0.5	NUM
cana-5492	105	20	,	,	PUNCT
cana-5492	105	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	105	22	0.3	0.3	NUM
cana-5492	105	23	)	)	PUNCT
cana-5492	105	24	,	,	PUNCT
cana-5492	105	25	(	(	PUNCT
cana-5492	105	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	105	27	0.4	0.4	NUM
cana-5492	105	28	,	,	PUNCT
cana-5492	105	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	105	30	0.3	0.3	NUM
cana-5492	105	31	,	,	PUNCT
cana-5492	105	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	105	33	0.3	0.3	NUM
cana-5492	105	34	)	)	PUNCT
cana-5492	105	35	〉	〉	NOUN
cana-5492	105	36	communications	communication	NOUN
cana-5492	105	37	on	on	ADP
cana-5492	105	38	applied	apply	VERB
cana-5492	105	39	nonlinear	nonlinear	ADJ
cana-5492	105	40	analysis	analysis	NOUN
cana-5492	105	41	issn	issn	NOUN
cana-5492	105	42	:	:	PUNCT
cana-5492	105	43	1074	1074	NUM
cana-5492	105	44	-	-	PUNCT
cana-5492	105	45	133x	133x	NUM
cana-5492	105	46	vol	vol	VERB
cana-5492	105	47	32	32	NUM
cana-5492	105	48	no	no	NOUN
cana-5492	105	49	.	.	PUNCT
cana-5492	106	1	10s	10	NOUN
cana-5492	106	2	(	(	PUNCT
cana-5492	106	3	2025	2025	NUM
cana-5492	106	4	)	)	PUNCT
cana-5492	106	5	2446	2446	NUM
cana-5492	106	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	106	7	(	(	PUNCT
cana-5492	106	8	𝑉1	𝑉1	NOUN
cana-5492	106	9	,	,	PUNCT
cana-5492	106	10	𝑒1	𝑒1	NOUN
cana-5492	106	11	)	)	PUNCT
cana-5492	106	12	=	=	SYM
cana-5492	107	1	〈	〈	PROPN
cana-5492	107	2	(	(	PUNCT
cana-5492	107	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	107	4	,	,	PUNCT
cana-5492	107	5	0.6	0.6	NUM
cana-5492	107	6	,	,	PUNCT
cana-5492	107	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	107	8	0.5	0.5	NUM
cana-5492	107	9	,	,	PUNCT
cana-5492	107	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	107	11	0.5	0.5	NUM
cana-5492	107	12	)	)	PUNCT
cana-5492	107	13	,	,	PUNCT
cana-5492	107	14	(	(	PUNCT
cana-5492	107	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	107	16	0.5	0.5	NUM
cana-5492	107	17	,	,	PUNCT
cana-5492	107	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	107	19	0.5	0.5	NUM
cana-5492	107	20	,	,	PUNCT
cana-5492	107	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	107	22	0.5	0.5	NUM
cana-5492	107	23	)	)	PUNCT
cana-5492	107	24	,	,	PUNCT
cana-5492	107	25	(	(	PUNCT
cana-5492	107	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	107	27	0.6	0.6	NUM
cana-5492	107	28	,	,	PUNCT
cana-5492	107	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	107	30	0.5	0.5	NUM
cana-5492	107	31	,	,	PUNCT
cana-5492	107	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	107	33	0.6	0.6	NUM
cana-5492	107	34	)	)	PUNCT
cana-5492	107	35	〉	〉	NOUN
cana-5492	107	36	(	(	PUNCT
cana-5492	107	37	𝑉1	𝑉1	PROPN
cana-5492	107	38	,	,	PUNCT
cana-5492	107	39	𝑒2	𝑒2	NOUN
cana-5492	107	40	)	)	PUNCT
cana-5492	107	41	=	=	PUNCT
cana-5492	108	1	〈	〈	PROPN
cana-5492	108	2	(	(	PUNCT
cana-5492	108	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	108	4	,	,	PUNCT
cana-5492	108	5	0.6	0.6	NUM
cana-5492	108	6	,	,	PUNCT
cana-5492	108	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	108	8	0.4	0.4	NUM
cana-5492	108	9	,	,	PUNCT
cana-5492	108	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	108	11	0.4	0.4	NUM
cana-5492	108	12	)	)	PUNCT
cana-5492	108	13	,	,	PUNCT
cana-5492	108	14	(	(	PUNCT
cana-5492	108	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	108	16	0.7	0.7	NUM
cana-5492	108	17	,	,	PUNCT
cana-5492	108	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	108	19	0.5	0.5	NUM
cana-5492	108	20	,	,	PUNCT
cana-5492	108	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	108	22	0.3	0.3	NUM
cana-5492	108	23	)	)	PUNCT
cana-5492	108	24	,	,	PUNCT
cana-5492	108	25	(	(	PUNCT
cana-5492	108	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	108	27	0.4	0.4	NUM
cana-5492	108	28	,	,	PUNCT
cana-5492	108	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	108	30	0.3	0.3	NUM
cana-5492	108	31	,	,	PUNCT
cana-5492	108	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	108	33	0.3	0.3	NUM
cana-5492	108	34	)	)	PUNCT
cana-5492	108	35	〉	〉	NOUN
cana-5492	108	36	then	then	ADV
cana-5492	108	37	,	,	PUNCT
cana-5492	108	38	we	we	PRON
cana-5492	108	39	have	have	VERB
cana-5492	108	40	τ	τ	X
cana-5492	108	41	=	=	X
cana-5492	108	42	{	{	PUNCT
cana-5492	108	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	108	44	)	)	PUNCT
cana-5492	108	45	,	,	PUNCT
cana-5492	108	46	1(𝕎	1(𝕎	INTJ
cana-5492	108	47	,	,	PUNCT
cana-5492	108	48	𝜚	𝜚	NOUN
cana-5492	108	49	)	)	PUNCT
cana-5492	108	50	,	,	PUNCT
cana-5492	108	51	(	(	PUNCT
cana-5492	108	52	𝑆1	𝑆1	PROPN
cana-5492	108	53	,	,	PUNCT
cana-5492	108	54	ϱ	ϱ	NOUN
cana-5492	108	55	)	)	PUNCT
cana-5492	108	56	,	,	PUNCT
cana-5492	108	57	(	(	PUNCT
cana-5492	108	58	𝑆2	𝑆2	PROPN
cana-5492	108	59	,	,	PUNCT
cana-5492	108	60	ϱ	ϱ	NOUN
cana-5492	108	61	)	)	PUNCT
cana-5492	108	62	,	,	PUNCT
cana-5492	108	63	(	(	PUNCT
cana-5492	108	64	𝑆3	𝑆3	PROPN
cana-5492	108	65	,	,	PUNCT
cana-5492	108	66	ϱ	ϱ	NOUN
cana-5492	108	67	)	)	PUNCT
cana-5492	108	68	}	}	PUNCT
cana-5492	108	69	and	and	CCONJ
cana-5492	108	70	𝜎	𝜎	X
cana-5492	108	71	=	=	X
cana-5492	108	72	{	{	PUNCT
cana-5492	108	73	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	108	74	)	)	PUNCT
cana-5492	108	75	,	,	PUNCT
cana-5492	108	76	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	108	77	)	)	PUNCT
cana-5492	108	78	,	,	PUNCT
cana-5492	108	79	(	(	PUNCT
cana-5492	108	80	𝑉1	𝑉1	NOUN
cana-5492	108	81	,	,	PUNCT
cana-5492	108	82	ϱ	ϱ	NOUN
cana-5492	108	83	)	)	PUNCT
cana-5492	108	84	}	}	PUNCT
cana-5492	108	85	.	.	PUNCT
cana-5492	109	1	let	let	VERB
cana-5492	109	2	𝒢	𝒢	PROPN
cana-5492	109	3	∶	∶	NOUN
cana-5492	109	4	(	(	PUNCT
cana-5492	109	5	𝕎	𝕎	PROPN
cana-5492	109	6	,	,	PUNCT
cana-5492	109	7	τ	τ	PROPN
cana-5492	109	8	,	,	PUNCT
cana-5492	109	9	ϱ	ϱ	PROPN
cana-5492	109	10	)	)	PUNCT
cana-5492	109	11	→	→	SYM
cana-5492	109	12	(	(	PUNCT
cana-5492	109	13	𝕋	𝕋	PROPN
cana-5492	109	14	,	,	PUNCT
cana-5492	109	15	σ	σ	PROPN
cana-5492	109	16	,	,	PUNCT
cana-5492	109	17	ϱ	ϱ	NOUN
cana-5492	109	18	)	)	PUNCT
cana-5492	109	19	be	be	VERB
cana-5492	109	20	an	an	DET
cana-5492	109	21	identity	identity	NOUN
cana-5492	109	22	mapping	mapping	NOUN
cana-5492	109	23	,	,	PUNCT
cana-5492	109	24	then	then	ADV
cana-5492	109	25	1	1	X
cana-5492	109	26	)	)	PUNCT
cana-5492	109	27	𝒢	𝒢	NOUN
cana-5492	109	28	is	be	AUX
cana-5492	109	29	a	a	DET
cana-5492	109	30	nscontrazcts	nscontrazct	NOUN
cana-5492	109	31	function	function	NOUN
cana-5492	109	32	.	.	PUNCT
cana-5492	110	1	2	2	X
cana-5492	110	2	)	)	PUNCT
cana-5492	110	3	𝒢	𝒢	NOUN
cana-5492	110	4	is	be	AUX
cana-5492	110	5	a	a	DET
cana-5492	110	6	nscontracts	nscontract	NOUN
cana-5492	110	7	but	but	CCONJ
cana-5492	110	8	not	not	PART
cana-5492	110	9	nscontraδcts	nscontraδct	NOUN
cana-5492	110	10	,	,	PUNCT
cana-5492	110	11	because	because	SCONJ
cana-5492	110	12	the	the	DET
cana-5492	110	13	set	set	NOUN
cana-5492	110	14	𝒢−1(𝑉1	𝒢−1(𝑉1	PROPN
cana-5492	110	15	,	,	PUNCT
cana-5492	110	16	ϱ	ϱ	NOUN
cana-5492	110	17	)	)	PUNCT
cana-5492	110	18	=	=	SYM
cana-5492	110	19	(	(	PUNCT
cana-5492	110	20	𝑆4	𝑆4	PROPN
cana-5492	110	21	,	,	PUNCT
cana-5492	110	22	ϱ	ϱ	NOUN
cana-5492	110	23	)	)	PUNCT
cana-5492	110	24	is	be	AUX
cana-5492	110	25	a	a	DET
cana-5492	110	26	nscs	nscs	ADJ
cana-5492	110	27	but	but	CCONJ
cana-5492	110	28	not	not	PART
cana-5492	110	29	nsδcs	nsδcs	NOUN
cana-5492	110	30	.	.	PUNCT
cana-5492	111	1	preposition	preposition	NOUN
cana-5492	111	2	3.1	3.1	NUM
cana-5492	111	3	the	the	DET
cana-5492	111	4	statements	statement	NOUN
cana-5492	111	5	hold	hold	VERB
cana-5492	111	6	true	true	ADJ
cana-5492	111	7	but	but	CCONJ
cana-5492	111	8	not	not	PART
cana-5492	111	9	the	the	DET
cana-5492	111	10	converse	converse	NOUN
cana-5492	111	11	.	.	PUNCT
cana-5492	112	1	a	a	PRON
cana-5492	112	2	)	)	PUNCT
cana-5492	112	3	each	each	DET
cana-5492	112	4	nscontraδcts	nscontraδct	NOUN
cana-5492	112	5	is	be	AUX
cana-5492	112	6	a	a	DET
cana-5492	112	7	nscontracts	nscontract	NOUN
cana-5492	112	8	.	.	PUNCT
cana-5492	113	1	b	b	X
cana-5492	113	2	)	)	PUNCT
cana-5492	113	3	each	each	DET
cana-5492	113	4	nscontracts	nscontract	NOUN
cana-5492	113	5	is	be	AUX
cana-5492	113	6	a	a	DET
cana-5492	113	7	nscontraδscts	nscontraδsct	NOUN
cana-5492	113	8	.	.	PUNCT
cana-5492	114	1	c	c	X
cana-5492	114	2	)	)	PUNCT
cana-5492	114	3	each	each	DET
cana-5492	114	4	nscontracts	nscontract	NOUN
cana-5492	114	5	is	be	AUX
cana-5492	114	6	a	a	DET
cana-5492	114	7	nscontrapcts	nscontrapct	NOUN
cana-5492	114	8	.	.	PUNCT
cana-5492	115	1	d	d	X
cana-5492	115	2	)	)	PUNCT
cana-5492	115	3	each	each	DET
cana-5492	115	4	nscontraδscts	nscontraδsct	NOUN
cana-5492	115	5	is	be	AUX
cana-5492	115	6	a	a	DET
cana-5492	115	7	nscontrazcts	nscontrazct	NOUN
cana-5492	115	8	.	.	PUNCT
cana-5492	116	1	e	e	X
cana-5492	116	2	)	)	PUNCT
cana-5492	116	3	each	each	DET
cana-5492	116	4	nscontrapcts	nscontrapct	NOUN
cana-5492	116	5	is	be	AUX
cana-5492	116	6	a	a	DET
cana-5492	116	7	nscontrazcts	nscontrazct	NOUN
cana-5492	116	8	.	.	PUNCT
cana-5492	117	1	f	f	X
cana-5492	117	2	)	)	PUNCT
cana-5492	117	3	each	each	DET
cana-5492	117	4	nscontrazcts	nscontrazct	VERB
cana-5492	117	5	is	be	AUX
cana-5492	117	6	a	a	DET
cana-5492	117	7	nscontraects	nscontraect	NOUN
cana-5492	117	8	.	.	PUNCT
cana-5492	118	1	proof	proof	NOUN
cana-5492	118	2	.	.	PUNCT
cana-5492	119	1	consider	consider	VERB
cana-5492	119	2	the	the	DET
cana-5492	119	3	map	map	NOUN
cana-5492	119	4	𝒢	𝒢	PROPN
cana-5492	119	5	∶	∶	NOUN
cana-5492	119	6	(	(	PUNCT
cana-5492	119	7	𝕎	𝕎	PROPN
cana-5492	119	8	,	,	PUNCT
cana-5492	119	9	τ	τ	PROPN
cana-5492	119	10	,	,	PUNCT
cana-5492	119	11	ϱ	ϱ	PROPN
cana-5492	119	12	)	)	PUNCT
cana-5492	119	13	→	→	SYM
cana-5492	119	14	(	(	PUNCT
cana-5492	119	15	𝕋	𝕋	PROPN
cana-5492	119	16	,	,	PUNCT
cana-5492	119	17	σ	σ	PROPN
cana-5492	119	18	,	,	PUNCT
cana-5492	119	19	ϱ	ϱ	NOUN
cana-5492	119	20	)	)	PUNCT
cana-5492	119	21	.	.	PUNCT
cana-5492	120	1	(	(	PUNCT
cana-5492	120	2	a	a	X
cana-5492	120	3	)	)	PUNCT
cana-5492	120	4	let	let	NOUN
cana-5492	120	5	(	(	PUNCT
cana-5492	120	6	𝑆	𝑆	PROPN
cana-5492	120	7	,	,	PUNCT
cana-5492	120	8	ϱ	ϱ	PROPN
cana-5492	120	9	)	)	PUNCT
cana-5492	120	10	be	be	VERB
cana-5492	120	11	a	a	DET
cana-5492	120	12	nsos	nsos	NOUN
cana-5492	120	13	in	in	ADP
cana-5492	120	14	𝕋.	𝕋.	NOUN
cana-5492	120	15	as	as	SCONJ
cana-5492	120	16	𝒢	𝒢	PROPN
cana-5492	120	17	is	be	AUX
cana-5492	120	18	nscontraδcts	nscontraδct	NOUN
cana-5492	120	19	,	,	PUNCT
cana-5492	120	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	120	21	,	,	PUNCT
cana-5492	120	22	ϱ	ϱ	NOUN
cana-5492	120	23	)	)	PUNCT
cana-5492	120	24	is	be	AUX
cana-5492	120	25	a	a	DET
cana-5492	120	26	nsδcs	nsδcs	NOUN
cana-5492	120	27	in	in	ADP
cana-5492	120	28	𝕎.	𝕎.	PROPN
cana-5492	120	29	since	since	SCONJ
cana-5492	120	30	all	all	DET
cana-5492	120	31	nsδcs	nsδc	NOUN
cana-5492	120	32	are	be	AUX
cana-5492	120	33	nscs	nsc	NOUN
cana-5492	120	34	,	,	PUNCT
cana-5492	120	35	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	120	36	,	,	PUNCT
cana-5492	120	37	ϱ	ϱ	NOUN
cana-5492	120	38	)	)	PUNCT
cana-5492	120	39	is	be	AUX
cana-5492	120	40	nscs	nsc	VERB
cana-5492	120	41	in	in	ADP
cana-5492	120	42	𝕎.	𝕎.	PROPN
cana-5492	120	43	thus	thus	ADV
cana-5492	120	44	,	,	PUNCT
cana-5492	120	45	𝒢	𝒢	PROPN
cana-5492	120	46	is	be	AUX
cana-5492	120	47	a	a	DET
cana-5492	120	48	nscontracts	nscontract	NOUN
cana-5492	120	49	.	.	PUNCT
cana-5492	121	1	(	(	PUNCT
cana-5492	121	2	b	b	X
cana-5492	121	3	)	)	PUNCT
cana-5492	121	4	let	let	NOUN
cana-5492	121	5	(	(	PUNCT
cana-5492	121	6	𝑆	𝑆	PROPN
cana-5492	121	7	,	,	PUNCT
cana-5492	121	8	ϱ	ϱ	PROPN
cana-5492	121	9	)	)	PUNCT
cana-5492	121	10	be	be	VERB
cana-5492	121	11	a	a	DET
cana-5492	121	12	nsos	nsos	NOUN
cana-5492	121	13	in	in	ADP
cana-5492	121	14	𝕋.	𝕋.	NOUN
cana-5492	121	15	as	as	SCONJ
cana-5492	121	16	𝒢	𝒢	PROPN
cana-5492	121	17	is	be	AUX
cana-5492	121	18	nscontracts	nscontract	NOUN
cana-5492	121	19	,	,	PUNCT
cana-5492	121	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	121	21	,	,	PUNCT
cana-5492	121	22	ϱ	ϱ	NOUN
cana-5492	121	23	)	)	PUNCT
cana-5492	121	24	is	be	AUX
cana-5492	121	25	a	a	DET
cana-5492	121	26	nscs	nscs	NOUN
cana-5492	121	27	in	in	ADP
cana-5492	121	28	𝕎.	𝕎.	PROPN
cana-5492	121	29	since	since	SCONJ
cana-5492	121	30	all	all	DET
cana-5492	121	31	nscs	nsc	NOUN
cana-5492	121	32	are	be	AUX
cana-5492	121	33	nsδcs	nsδc	NOUN
cana-5492	121	34	,	,	PUNCT
cana-5492	121	35	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	121	36	,	,	PUNCT
cana-5492	121	37	ϱ	ϱ	NOUN
cana-5492	121	38	)	)	PUNCT
cana-5492	121	39	is	be	AUX
cana-5492	121	40	a	a	DET
cana-5492	121	41	nsδscs	nsδsc	NOUN
cana-5492	121	42	in	in	ADP
cana-5492	121	43	𝕎.	𝕎.	PROPN
cana-5492	121	44	thus	thus	ADV
cana-5492	121	45	,	,	PUNCT
cana-5492	121	46	𝒢	𝒢	PROPN
cana-5492	121	47	is	be	AUX
cana-5492	121	48	a	a	DET
cana-5492	121	49	nscontraδscts	nscontraδsct	NOUN
cana-5492	121	50	.	.	PUNCT
cana-5492	122	1	(	(	PUNCT
cana-5492	122	2	c	c	X
cana-5492	122	3	)	)	PUNCT
cana-5492	122	4	let	let	NOUN
cana-5492	122	5	(	(	PUNCT
cana-5492	122	6	𝑆	𝑆	PROPN
cana-5492	122	7	,	,	PUNCT
cana-5492	122	8	ϱ	ϱ	PROPN
cana-5492	122	9	)	)	PUNCT
cana-5492	122	10	be	be	VERB
cana-5492	122	11	a	a	DET
cana-5492	122	12	nsos	nsos	NOUN
cana-5492	122	13	in	in	ADP
cana-5492	122	14	𝕋.	𝕋.	NOUN
cana-5492	122	15	as	as	SCONJ
cana-5492	122	16	𝒢	𝒢	PROPN
cana-5492	122	17	is	be	AUX
cana-5492	122	18	nscontracts	nscontract	NOUN
cana-5492	122	19	,	,	PUNCT
cana-5492	122	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	122	21	,	,	PUNCT
cana-5492	122	22	ϱ	ϱ	NOUN
cana-5492	122	23	)	)	PUNCT
cana-5492	122	24	is	be	AUX
cana-5492	122	25	a	a	DET
cana-5492	122	26	nscs	nscs	NOUN
cana-5492	122	27	in	in	ADP
cana-5492	122	28	𝕎.	𝕎.	PROPN
cana-5492	122	29	since	since	SCONJ
cana-5492	122	30	all	all	DET
cana-5492	122	31	nscs	nscs	NOUN
cana-5492	122	32	is	be	AUX
cana-5492	122	33	a	a	DET
cana-5492	122	34	nspcs	nspc	NOUN
cana-5492	122	35	,	,	PUNCT
cana-5492	122	36	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	122	37	,	,	PUNCT
cana-5492	122	38	ϱ	ϱ	NOUN
cana-5492	122	39	)	)	PUNCT
cana-5492	122	40	is	be	AUX
cana-5492	122	41	a	a	DET
cana-5492	122	42	nspcs	nspc	NOUN
cana-5492	122	43	in	in	ADP
cana-5492	122	44	𝕎.	𝕎.	PROPN
cana-5492	122	45	thus	thus	ADV
cana-5492	122	46	,	,	PUNCT
cana-5492	122	47	𝒢	𝒢	PROPN
cana-5492	122	48	is	be	AUX
cana-5492	122	49	a	a	DET
cana-5492	122	50	nscontrapcts	nscontrapct	NOUN
cana-5492	122	51	.	.	PUNCT
cana-5492	123	1	(	(	PUNCT
cana-5492	123	2	d	d	X
cana-5492	123	3	)	)	PUNCT
cana-5492	123	4	let	let	VERB
cana-5492	123	5	(	(	PUNCT
cana-5492	123	6	𝑆	𝑆	PROPN
cana-5492	123	7	,	,	PUNCT
cana-5492	123	8	ϱ	ϱ	PROPN
cana-5492	123	9	)	)	PUNCT
cana-5492	123	10	be	be	VERB
cana-5492	123	11	a	a	DET
cana-5492	123	12	nsos	nsos	NOUN
cana-5492	123	13	in	in	ADP
cana-5492	123	14	𝕋.	𝕋.	NOUN
cana-5492	123	15	as	as	SCONJ
cana-5492	123	16	𝒢	𝒢	PROPN
cana-5492	123	17	is	be	AUX
cana-5492	123	18	nscontraδscts	nscontraδsct	NOUN
cana-5492	123	19	,	,	PUNCT
cana-5492	123	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	123	21	,	,	PUNCT
cana-5492	123	22	ϱ	ϱ	NOUN
cana-5492	123	23	)	)	PUNCT
cana-5492	123	24	is	be	AUX
cana-5492	123	25	a	a	DET
cana-5492	123	26	nsδscs	nsδsc	NOUN
cana-5492	123	27	in	in	ADP
cana-5492	123	28	𝕎.	𝕎.	PROPN
cana-5492	123	29	since	since	SCONJ
cana-5492	123	30	all	all	DET
cana-5492	123	31	nsδscs	nsδsc	NOUN
cana-5492	123	32	is	be	AUX
cana-5492	123	33	a	a	DET
cana-5492	123	34	nszcs	nszcs	NOUN
cana-5492	123	35	,	,	PUNCT
cana-5492	124	1	𝒢−1(𝑆	𝒢−1(𝑆	X
cana-5492	124	2	,	,	PUNCT
cana-5492	124	3	ϱ	ϱ	NOUN
cana-5492	124	4	)	)	PUNCT
cana-5492	124	5	is	be	AUX
cana-5492	124	6	a	a	DET
cana-5492	124	7	nszcs	nszcs	NOUN
cana-5492	124	8	in	in	ADP
cana-5492	124	9	𝕎.	𝕎.	PROPN
cana-5492	124	10	thus	thus	ADV
cana-5492	124	11	,	,	PUNCT
cana-5492	124	12	𝒢	𝒢	PROPN
cana-5492	124	13	is	be	AUX
cana-5492	124	14	a	a	DET
cana-5492	124	15	nscontrazcts	nscontrazct	NOUN
cana-5492	124	16	.	.	PUNCT
cana-5492	125	1	(	(	PUNCT
cana-5492	125	2	e	e	X
cana-5492	125	3	)	)	PUNCT
cana-5492	125	4	let	let	VERB
cana-5492	125	5	(	(	PUNCT
cana-5492	125	6	𝑆	𝑆	PROPN
cana-5492	125	7	,	,	PUNCT
cana-5492	125	8	ϱ	ϱ	PROPN
cana-5492	125	9	)	)	PUNCT
cana-5492	125	10	be	be	VERB
cana-5492	125	11	a	a	DET
cana-5492	125	12	nsos	nsos	NOUN
cana-5492	125	13	in	in	ADP
cana-5492	125	14	𝕋.	𝕋.	NOUN
cana-5492	125	15	as	as	SCONJ
cana-5492	125	16	𝒢	𝒢	PROPN
cana-5492	125	17	is	be	AUX
cana-5492	125	18	nscontrapcts	nscontrapct	NOUN
cana-5492	125	19	,	,	PUNCT
cana-5492	125	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	125	21	,	,	PUNCT
cana-5492	125	22	ϱ	ϱ	NOUN
cana-5492	125	23	)	)	PUNCT
cana-5492	125	24	is	be	AUX
cana-5492	125	25	a	a	DET
cana-5492	125	26	nspcs	nspc	NOUN
cana-5492	125	27	in	in	ADP
cana-5492	125	28	𝕎.	𝕎.	PROPN
cana-5492	125	29	since	since	SCONJ
cana-5492	125	30	all	all	DET
cana-5492	125	31	nspcs	nspc	NOUN
cana-5492	125	32	is	be	AUX
cana-5492	125	33	a	a	DET
cana-5492	125	34	nszcs	nszcs	NOUN
cana-5492	125	35	,	,	PUNCT
cana-5492	125	36	𝒢−1(𝑆	𝒢−1(𝑆	X
cana-5492	125	37	,	,	PUNCT
cana-5492	125	38	ϱ	ϱ	NOUN
cana-5492	125	39	)	)	PUNCT
cana-5492	125	40	is	be	AUX
cana-5492	125	41	a	a	DET
cana-5492	125	42	nszcs	nszcs	NOUN
cana-5492	125	43	in	in	ADP
cana-5492	125	44	𝕎.	𝕎.	PROPN
cana-5492	125	45	thus	thus	ADV
cana-5492	125	46	,	,	PUNCT
cana-5492	125	47	𝒢	𝒢	PROPN
cana-5492	125	48	is	be	AUX
cana-5492	125	49	a	a	DET
cana-5492	125	50	nscontrazcts	nscontrazct	NOUN
cana-5492	125	51	.	.	PUNCT
cana-5492	126	1	(	(	PUNCT
cana-5492	126	2	f	f	X
cana-5492	126	3	)	)	PUNCT
cana-5492	126	4	let	let	VERB
cana-5492	126	5	(	(	PUNCT
cana-5492	126	6	𝑆	𝑆	PROPN
cana-5492	126	7	,	,	PUNCT
cana-5492	126	8	ϱ	ϱ	PROPN
cana-5492	126	9	)	)	PUNCT
cana-5492	126	10	be	be	VERB
cana-5492	126	11	a	a	DET
cana-5492	126	12	nsos	nsos	NOUN
cana-5492	126	13	in	in	ADP
cana-5492	126	14	𝕋.	𝕋.	NOUN
cana-5492	126	15	as	as	SCONJ
cana-5492	126	16	𝒢	𝒢	PROPN
cana-5492	126	17	is	be	AUX
cana-5492	126	18	nscontrazcts	nscontrazct	NOUN
cana-5492	126	19	,	,	PUNCT
cana-5492	126	20	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	126	21	,	,	PUNCT
cana-5492	126	22	ϱ	ϱ	NOUN
cana-5492	126	23	)	)	PUNCT
cana-5492	126	24	is	be	AUX
cana-5492	126	25	a	a	DET
cana-5492	126	26	nszcs	nszcs	NOUN
cana-5492	126	27	in	in	ADP
cana-5492	126	28	𝕎.	𝕎.	PROPN
cana-5492	126	29	since	since	SCONJ
cana-5492	126	30	all	all	DET
cana-5492	126	31	nszcs	nszcs	NOUN
cana-5492	126	32	is	be	AUX
cana-5492	126	33	a	a	DET
cana-5492	126	34	nsecs	nsec	NOUN
cana-5492	126	35	,	,	PUNCT
cana-5492	126	36	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	126	37	,	,	PUNCT
cana-5492	126	38	ϱ	ϱ	NOUN
cana-5492	126	39	)	)	PUNCT
cana-5492	126	40	is	be	AUX
cana-5492	126	41	a	a	DET
cana-5492	126	42	nsecs	nsec	NOUN
cana-5492	126	43	in	in	ADP
cana-5492	126	44	𝕎.	𝕎.	PROPN
cana-5492	126	45	thus	thus	ADV
cana-5492	126	46	,	,	PUNCT
cana-5492	126	47	𝒢	𝒢	PROPN
cana-5492	126	48	is	be	AUX
cana-5492	126	49	a	a	DET
cana-5492	126	50	nscontraects	nscontraect	NOUN
cana-5492	126	51	.	.	PUNCT
cana-5492	126	52	example	example	NOUN
cana-5492	126	53	3.2	3.2	NUM
cana-5492	126	54	let	let	VERB
cana-5492	126	55	𝕎	𝕎	PROPN
cana-5492	126	56	=	=	SYM
cana-5492	126	57	{	{	PUNCT
cana-5492	126	58	𝑤1	𝑤1	PROPN
cana-5492	126	59	,	,	PUNCT
cana-5492	126	60	𝑤2	𝑤2	NOUN
cana-5492	126	61	,	,	PUNCT
cana-5492	126	62	𝑤3	𝑤3	NOUN
cana-5492	126	63	}	}	PUNCT
cana-5492	126	64	=	=	SYM
cana-5492	126	65	{	{	PUNCT
cana-5492	126	66	𝑡1	𝑡1	NOUN
cana-5492	126	67	,	,	PUNCT
cana-5492	126	68	𝑡2	𝑡2	PROPN
cana-5492	126	69	,	,	PUNCT
cana-5492	126	70	𝑡3	𝑡3	PROPN
cana-5492	126	71	}	}	PUNCT
cana-5492	126	72	=	=	SYM
cana-5492	126	73	𝕋	𝕋	PROPN
cana-5492	126	74	,	,	PUNCT
cana-5492	126	75	ϱ	ϱ	NOUN
cana-5492	126	76	=	=	SYM
cana-5492	126	77	{	{	PUNCT
cana-5492	126	78	𝑒1	𝑒1	NOUN
cana-5492	126	79	,	,	PUNCT
cana-5492	126	80	𝑒2	𝑒2	NOUN
cana-5492	126	81	}	}	PUNCT
cana-5492	126	82	and	and	CCONJ
cana-5492	126	83	ns	ns	NUM
cana-5492	126	84	sets	set	NOUN
cana-5492	126	85	(	(	PUNCT
cana-5492	126	86	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	126	87	)	)	PUNCT
cana-5492	126	88	,	,	PUNCT
cana-5492	126	89	(	(	PUNCT
cana-5492	126	90	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	126	91	)	)	PUNCT
cana-5492	126	92	and	and	CCONJ
cana-5492	126	93	(	(	PUNCT
cana-5492	126	94	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	126	95	)	)	PUNCT
cana-5492	126	96	in	in	ADP
cana-5492	126	97	𝕎	𝕎	PROPN
cana-5492	126	98	and	and	CCONJ
cana-5492	126	99	(	(	PUNCT
cana-5492	126	100	𝑉1	𝑉1	PROPN
cana-5492	126	101	,	,	PUNCT
cana-5492	126	102	ϱ	ϱ	NOUN
cana-5492	126	103	)	)	PUNCT
cana-5492	126	104	in	in	ADP
cana-5492	126	105	𝕋	𝕋	PRON
cana-5492	126	106	are	be	AUX
cana-5492	126	107	defined	define	VERB
cana-5492	126	108	as	as	ADP
cana-5492	126	109	(	(	PUNCT
cana-5492	126	110	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	126	111	)	)	PUNCT
cana-5492	126	112	=	=	PUNCT
cana-5492	127	1	〈	〈	PROPN
cana-5492	127	2	(	(	PUNCT
cana-5492	127	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	127	4	,	,	PUNCT
cana-5492	127	5	0.4	0.4	NUM
cana-5492	127	6	,	,	PUNCT
cana-5492	127	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	127	8	0.5	0.5	NUM
cana-5492	127	9	,	,	PUNCT
cana-5492	127	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	127	11	0.6	0.6	NUM
cana-5492	127	12	)	)	PUNCT
cana-5492	127	13	,	,	PUNCT
cana-5492	127	14	(	(	PUNCT
cana-5492	127	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	127	16	0.5	0.5	NUM
cana-5492	127	17	,	,	PUNCT
cana-5492	127	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	127	19	0.4	0.4	NUM
cana-5492	127	20	,	,	PUNCT
cana-5492	127	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	127	22	0.8	0.8	NUM
cana-5492	127	23	)	)	PUNCT
cana-5492	127	24	,	,	PUNCT
cana-5492	127	25	(	(	PUNCT
cana-5492	127	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	127	27	0.4	0.4	NUM
cana-5492	127	28	,	,	PUNCT
cana-5492	127	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	127	30	0.5	0.5	NUM
cana-5492	127	31	,	,	PUNCT
cana-5492	127	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	127	33	0.7	0.7	NUM
cana-5492	127	34	)	)	PUNCT
cana-5492	127	35	〉	〉	NOUN
cana-5492	127	36	(	(	PUNCT
cana-5492	127	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	127	38	)	)	PUNCT
cana-5492	127	39	=	=	PUNCT
cana-5492	127	40	〈	〈	PROPN
cana-5492	127	41	(	(	PUNCT
cana-5492	127	42	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	127	43	,	,	PUNCT
cana-5492	127	44	0.2	0.2	NUM
cana-5492	127	45	,	,	PUNCT
cana-5492	127	46	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	127	47	0.4	0.4	NUM
cana-5492	127	48	,	,	PUNCT
cana-5492	127	49	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	127	50	0.6	0.6	NUM
cana-5492	127	51	)	)	PUNCT
cana-5492	127	52	,	,	PUNCT
cana-5492	127	53	(	(	PUNCT
cana-5492	127	54	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	127	55	0.2	0.2	NUM
cana-5492	127	56	,	,	PUNCT
cana-5492	127	57	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	127	58	0.5	0.5	NUM
cana-5492	127	59	,	,	PUNCT
cana-5492	127	60	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	127	61	0.7	0.7	NUM
cana-5492	127	62	)	)	PUNCT
cana-5492	127	63	,	,	PUNCT
cana-5492	127	64	(	(	PUNCT
cana-5492	127	65	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	127	66	0.2	0.2	NUM
cana-5492	127	67	,	,	PUNCT
cana-5492	127	68	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	127	69	0.5	0.5	NUM
cana-5492	127	70	,	,	PUNCT
cana-5492	127	71	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	127	72	0.8	0.8	NUM
cana-5492	127	73	)	)	PUNCT
cana-5492	127	74	〉	〉	NOUN
cana-5492	127	75	(	(	PUNCT
cana-5492	127	76	𝑆2	𝑆2	PROPN
cana-5492	127	77	,	,	PUNCT
cana-5492	127	78	𝑒1	𝑒1	NOUN
cana-5492	127	79	)	)	PUNCT
cana-5492	127	80	=	=	PUNCT
cana-5492	127	81	〈	〈	PROPN
cana-5492	127	82	(	(	PUNCT
cana-5492	127	83	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	127	84	,	,	PUNCT
cana-5492	127	85	0.5	0.5	NUM
cana-5492	127	86	,	,	PUNCT
cana-5492	127	87	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	127	88	0.5	0.5	NUM
cana-5492	127	89	,	,	PUNCT
cana-5492	127	90	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	127	91	0.6	0.6	NUM
cana-5492	127	92	)	)	PUNCT
cana-5492	127	93	,	,	PUNCT
cana-5492	127	94	(	(	PUNCT
cana-5492	127	95	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	127	96	0.5	0.5	NUM
cana-5492	127	97	,	,	PUNCT
cana-5492	127	98	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	127	99	0.5	0.5	NUM
cana-5492	127	100	,	,	PUNCT
cana-5492	127	101	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	127	102	0.5	0.5	NUM
cana-5492	127	103	)	)	PUNCT
cana-5492	127	104	,	,	PUNCT
cana-5492	127	105	(	(	PUNCT
cana-5492	127	106	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	127	107	0.6	0.6	NUM
cana-5492	127	108	,	,	PUNCT
cana-5492	127	109	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	127	110	0.5	0.5	NUM
cana-5492	127	111	,	,	PUNCT
cana-5492	127	112	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	127	113	0.6	0.6	NUM
cana-5492	127	114	)	)	PUNCT
cana-5492	127	115	〉	〉	NOUN
cana-5492	127	116	communications	communication	NOUN
cana-5492	127	117	on	on	ADP
cana-5492	127	118	applied	apply	VERB
cana-5492	127	119	nonlinear	nonlinear	ADJ
cana-5492	127	120	analysis	analysis	NOUN
cana-5492	127	121	issn	issn	NOUN
cana-5492	127	122	:	:	PUNCT
cana-5492	127	123	1074	1074	NUM
cana-5492	127	124	-	-	PUNCT
cana-5492	127	125	133x	133x	NUM
cana-5492	127	126	vol	vol	VERB
cana-5492	127	127	32	32	NUM
cana-5492	127	128	no	no	NOUN
cana-5492	127	129	.	.	PUNCT
cana-5492	127	130	10s	10	NOUN
cana-5492	127	131	(	(	PUNCT
cana-5492	127	132	2025	2025	NUM
cana-5492	127	133	)	)	PUNCT
cana-5492	127	134	2447	2447	NUM
cana-5492	127	135	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	127	136	(	(	PUNCT
cana-5492	127	137	𝑆2	𝑆2	PROPN
cana-5492	127	138	,	,	PUNCT
cana-5492	127	139	𝑒2	𝑒2	PROPN
cana-5492	127	140	)	)	PUNCT
cana-5492	127	141	=	=	PUNCT
cana-5492	128	1	〈	〈	PROPN
cana-5492	128	2	(	(	PUNCT
cana-5492	128	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	128	4	,	,	PUNCT
cana-5492	128	5	0.4	0.4	NUM
cana-5492	128	6	,	,	PUNCT
cana-5492	128	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	128	8	0.6	0.6	NUM
cana-5492	128	9	,	,	PUNCT
cana-5492	128	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	128	11	0.6	0.6	NUM
cana-5492	128	12	)	)	PUNCT
cana-5492	128	13	,	,	PUNCT
cana-5492	128	14	(	(	PUNCT
cana-5492	128	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	128	16	0.3	0.3	NUM
cana-5492	128	17	,	,	PUNCT
cana-5492	128	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	128	19	0.5	0.5	NUM
cana-5492	128	20	,	,	PUNCT
cana-5492	128	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	128	22	0.7	0.7	NUM
cana-5492	128	23	)	)	PUNCT
cana-5492	128	24	,	,	PUNCT
cana-5492	128	25	(	(	PUNCT
cana-5492	128	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	128	27	0.3	0.3	NUM
cana-5492	128	28	,	,	PUNCT
cana-5492	128	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	128	30	0.7	0.7	NUM
cana-5492	128	31	,	,	PUNCT
cana-5492	128	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	128	33	0.4	0.4	NUM
cana-5492	128	34	)	)	PUNCT
cana-5492	128	35	〉	〉	NOUN
cana-5492	128	36	(	(	PUNCT
cana-5492	128	37	𝑆3	𝑆3	PROPN
cana-5492	128	38	,	,	PUNCT
cana-5492	128	39	𝑒1	𝑒1	NOUN
cana-5492	128	40	)	)	PUNCT
cana-5492	128	41	=	=	PUNCT
cana-5492	129	1	〈	〈	PROPN
cana-5492	129	2	(	(	PUNCT
cana-5492	129	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	129	4	,	,	PUNCT
cana-5492	129	5	0.3	0.3	NUM
cana-5492	129	6	,	,	PUNCT
cana-5492	129	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	129	8	0.4	0.4	NUM
cana-5492	129	9	,	,	PUNCT
cana-5492	129	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	129	11	0.7	0.7	NUM
cana-5492	129	12	)	)	PUNCT
cana-5492	129	13	,	,	PUNCT
cana-5492	129	14	(	(	PUNCT
cana-5492	129	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	129	16	0.1	0.1	NUM
cana-5492	129	17	,	,	PUNCT
cana-5492	129	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	129	19	0.3	0.3	NUM
cana-5492	129	20	,	,	PUNCT
cana-5492	129	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	129	22	0.8	0.8	NUM
cana-5492	129	23	)	)	PUNCT
cana-5492	129	24	,	,	PUNCT
cana-5492	129	25	(	(	PUNCT
cana-5492	129	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	129	27	0.2	0.2	NUM
cana-5492	129	28	,	,	PUNCT
cana-5492	129	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	129	30	0.3	0.3	NUM
cana-5492	129	31	,	,	PUNCT
cana-5492	129	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	129	33	0.8	0.8	NUM
cana-5492	129	34	)	)	PUNCT
cana-5492	129	35	〉	〉	NOUN
cana-5492	129	36	(	(	PUNCT
cana-5492	129	37	𝑆3	𝑆3	PROPN
cana-5492	129	38	,	,	PUNCT
cana-5492	129	39	𝑒2	𝑒2	PROPN
cana-5492	129	40	)	)	PUNCT
cana-5492	129	41	=	=	PUNCT
cana-5492	130	1	〈	〈	PROPN
cana-5492	130	2	(	(	PUNCT
cana-5492	130	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	130	4	,	,	PUNCT
cana-5492	130	5	0.1	0.1	NUM
cana-5492	130	6	,	,	PUNCT
cana-5492	130	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	130	8	0.3	0.3	NUM
cana-5492	130	9	,	,	PUNCT
cana-5492	130	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	130	11	0.7	0.7	NUM
cana-5492	130	12	)	)	PUNCT
cana-5492	130	13	,	,	PUNCT
cana-5492	130	14	(	(	PUNCT
cana-5492	130	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	130	16	0.1	0.1	NUM
cana-5492	130	17	,	,	PUNCT
cana-5492	130	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	130	19	0.5	0.5	NUM
cana-5492	130	20	,	,	PUNCT
cana-5492	130	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	130	22	0.8	0.8	NUM
cana-5492	130	23	)	)	PUNCT
cana-5492	130	24	,	,	PUNCT
cana-5492	130	25	(	(	PUNCT
cana-5492	130	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	130	27	0.1	0.1	NUM
cana-5492	130	28	,	,	PUNCT
cana-5492	130	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	130	30	0.5	0.5	NUM
cana-5492	130	31	,	,	PUNCT
cana-5492	130	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	130	33	0.9	0.9	NUM
cana-5492	130	34	)	)	PUNCT
cana-5492	130	35	〉	〉	NOUN
cana-5492	130	36	(	(	PUNCT
cana-5492	130	37	𝑆4	𝑆4	PROPN
cana-5492	130	38	,	,	PUNCT
cana-5492	130	39	𝑒1	𝑒1	NOUN
cana-5492	130	40	)	)	PUNCT
cana-5492	130	41	=	=	SYM
cana-5492	130	42	〈	〈	PROPN
cana-5492	130	43	(	(	PUNCT
cana-5492	130	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	130	45	,	,	PUNCT
cana-5492	130	46	0.7	0.7	NUM
cana-5492	130	47	,	,	PUNCT
cana-5492	130	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	130	49	0.5	0.5	NUM
cana-5492	130	50	,	,	PUNCT
cana-5492	130	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	130	52	0.2	0.2	NUM
cana-5492	130	53	)	)	PUNCT
cana-5492	130	54	,	,	PUNCT
cana-5492	130	55	(	(	PUNCT
cana-5492	130	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	130	57	0.8	0.8	NUM
cana-5492	130	58	,	,	PUNCT
cana-5492	130	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	130	60	0.6	0.6	NUM
cana-5492	130	61	,	,	PUNCT
cana-5492	130	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	130	63	0.4	0.4	NUM
cana-5492	130	64	)	)	PUNCT
cana-5492	130	65	,	,	PUNCT
cana-5492	130	66	(	(	PUNCT
cana-5492	130	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	130	68	0.7	0.7	NUM
cana-5492	130	69	,	,	PUNCT
cana-5492	130	70	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	130	71	0.8	0.8	NUM
cana-5492	130	72	,	,	PUNCT
cana-5492	130	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	130	74	0.3	0.3	NUM
cana-5492	130	75	)	)	PUNCT
cana-5492	130	76	〉	〉	NOUN
cana-5492	130	77	(	(	PUNCT
cana-5492	130	78	𝑆4	𝑆4	PROPN
cana-5492	130	79	,	,	PUNCT
cana-5492	130	80	𝑒2	𝑒2	PROPN
cana-5492	130	81	)	)	PUNCT
cana-5492	130	82	=	=	PUNCT
cana-5492	131	1	〈	〈	PROPN
cana-5492	131	2	(	(	PUNCT
cana-5492	131	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	131	4	,	,	PUNCT
cana-5492	131	5	0.7	0.7	NUM
cana-5492	131	6	,	,	PUNCT
cana-5492	131	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	131	8	0.6	0.6	NUM
cana-5492	131	9	,	,	PUNCT
cana-5492	131	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	131	11	0.2	0.2	NUM
cana-5492	131	12	)	)	PUNCT
cana-5492	131	13	,	,	PUNCT
cana-5492	131	14	(	(	PUNCT
cana-5492	131	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	131	16	0.7	0.7	NUM
cana-5492	131	17	,	,	PUNCT
cana-5492	131	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	131	19	0.5	0.5	NUM
cana-5492	131	20	,	,	PUNCT
cana-5492	131	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	131	22	0.2	0.2	NUM
cana-5492	131	23	)	)	PUNCT
cana-5492	131	24	,	,	PUNCT
cana-5492	131	25	(	(	PUNCT
cana-5492	131	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	131	27	0.9	0.9	NUM
cana-5492	131	28	,	,	PUNCT
cana-5492	131	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	131	30	0.6	0.6	NUM
cana-5492	131	31	,	,	PUNCT
cana-5492	131	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	131	33	0.2	0.2	NUM
cana-5492	131	34	)	)	PUNCT
cana-5492	131	35	〉	〉	NOUN
cana-5492	131	36	(	(	PUNCT
cana-5492	131	37	𝑉1	𝑉1	NOUN
cana-5492	131	38	,	,	PUNCT
cana-5492	131	39	𝑒1	𝑒1	NOUN
cana-5492	131	40	)	)	PUNCT
cana-5492	131	41	=	=	SYM
cana-5492	132	1	〈	〈	PROPN
cana-5492	132	2	(	(	PUNCT
cana-5492	132	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	132	4	,	,	PUNCT
cana-5492	132	5	0.7	0.7	NUM
cana-5492	132	6	,	,	PUNCT
cana-5492	132	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	132	8	0.5	0.5	NUM
cana-5492	132	9	,	,	PUNCT
cana-5492	132	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	132	11	0.2	0.2	NUM
cana-5492	132	12	)	)	PUNCT
cana-5492	132	13	,	,	PUNCT
cana-5492	132	14	(	(	PUNCT
cana-5492	132	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	132	16	0.8	0.8	NUM
cana-5492	132	17	,	,	PUNCT
cana-5492	132	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	132	19	0.6	0.6	NUM
cana-5492	132	20	,	,	PUNCT
cana-5492	132	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	132	22	0.4	0.4	NUM
cana-5492	132	23	)	)	PUNCT
cana-5492	132	24	,	,	PUNCT
cana-5492	132	25	(	(	PUNCT
cana-5492	132	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	132	27	0.7	0.7	NUM
cana-5492	132	28	,	,	PUNCT
cana-5492	132	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	132	30	0.8	0.8	NUM
cana-5492	132	31	,	,	PUNCT
cana-5492	132	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	132	33	0.3	0.3	NUM
cana-5492	132	34	)	)	PUNCT
cana-5492	132	35	〉	〉	NOUN
cana-5492	132	36	(	(	PUNCT
cana-5492	132	37	𝑉1	𝑉1	PROPN
cana-5492	132	38	,	,	PUNCT
cana-5492	132	39	𝑒2	𝑒2	NOUN
cana-5492	132	40	)	)	PUNCT
cana-5492	132	41	=	=	PUNCT
cana-5492	133	1	〈	〈	PROPN
cana-5492	133	2	(	(	PUNCT
cana-5492	133	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	133	4	,	,	PUNCT
cana-5492	133	5	0.7	0.7	NUM
cana-5492	133	6	,	,	PUNCT
cana-5492	133	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	133	8	0.6	0.6	NUM
cana-5492	133	9	,	,	PUNCT
cana-5492	133	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	133	11	0.2	0.2	NUM
cana-5492	133	12	)	)	PUNCT
cana-5492	133	13	,	,	PUNCT
cana-5492	133	14	(	(	PUNCT
cana-5492	133	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	133	16	0.7	0.7	NUM
cana-5492	133	17	,	,	PUNCT
cana-5492	133	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	133	19	0.5	0.5	NUM
cana-5492	133	20	,	,	PUNCT
cana-5492	133	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	133	22	0.2	0.2	NUM
cana-5492	133	23	)	)	PUNCT
cana-5492	133	24	,	,	PUNCT
cana-5492	133	25	(	(	PUNCT
cana-5492	133	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	133	27	0.9	0.9	NUM
cana-5492	133	28	,	,	PUNCT
cana-5492	133	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	133	30	0.6	0.6	NUM
cana-5492	133	31	,	,	PUNCT
cana-5492	133	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	133	33	0.2	0.2	NUM
cana-5492	133	34	)	)	PUNCT
cana-5492	133	35	〉	〉	NOUN
cana-5492	133	36	here	here	ADV
cana-5492	133	37	,	,	PUNCT
cana-5492	133	38	we	we	PRON
cana-5492	133	39	have	have	VERB
cana-5492	133	40	τ	τ	X
cana-5492	133	41	=	=	X
cana-5492	133	42	{	{	PUNCT
cana-5492	133	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	133	44	)	)	PUNCT
cana-5492	133	45	,	,	PUNCT
cana-5492	133	46	1(𝕎	1(𝕎	INTJ
cana-5492	133	47	,	,	PUNCT
cana-5492	133	48	𝜚	𝜚	NOUN
cana-5492	133	49	)	)	PUNCT
cana-5492	133	50	,	,	PUNCT
cana-5492	133	51	(	(	PUNCT
cana-5492	133	52	𝑆1	𝑆1	PROPN
cana-5492	133	53	,	,	PUNCT
cana-5492	133	54	ϱ	ϱ	NOUN
cana-5492	133	55	)	)	PUNCT
cana-5492	133	56	,	,	PUNCT
cana-5492	133	57	(	(	PUNCT
cana-5492	133	58	𝑆2	𝑆2	PROPN
cana-5492	133	59	,	,	PUNCT
cana-5492	133	60	ϱ	ϱ	NOUN
cana-5492	133	61	)	)	PUNCT
cana-5492	133	62	,	,	PUNCT
cana-5492	133	63	(	(	PUNCT
cana-5492	133	64	𝑆3	𝑆3	PROPN
cana-5492	133	65	,	,	PUNCT
cana-5492	133	66	ϱ	ϱ	NOUN
cana-5492	133	67	)	)	PUNCT
cana-5492	133	68	}	}	PUNCT
cana-5492	133	69	and	and	CCONJ
cana-5492	133	70	𝜎	𝜎	X
cana-5492	133	71	=	=	X
cana-5492	133	72	{	{	PUNCT
cana-5492	133	73	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	133	74	)	)	PUNCT
cana-5492	133	75	,	,	PUNCT
cana-5492	133	76	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	133	77	)	)	PUNCT
cana-5492	133	78	,	,	PUNCT
cana-5492	133	79	(	(	PUNCT
cana-5492	133	80	𝑉1	𝑉1	NOUN
cana-5492	133	81	,	,	PUNCT
cana-5492	133	82	ϱ	ϱ	NOUN
cana-5492	133	83	)	)	PUNCT
cana-5492	133	84	}	}	PUNCT
cana-5492	133	85	.	.	PUNCT
cana-5492	134	1	let	let	VERB
cana-5492	134	2	𝒢	𝒢	PROPN
cana-5492	134	3	∶	∶	NOUN
cana-5492	134	4	(	(	PUNCT
cana-5492	134	5	𝕎	𝕎	PROPN
cana-5492	134	6	,	,	PUNCT
cana-5492	134	7	τ	τ	PROPN
cana-5492	134	8	,	,	PUNCT
cana-5492	134	9	ϱ	ϱ	PROPN
cana-5492	134	10	)	)	PUNCT
cana-5492	134	11	→	→	SYM
cana-5492	134	12	(	(	PUNCT
cana-5492	134	13	𝕋	𝕋	PROPN
cana-5492	134	14	,	,	PUNCT
cana-5492	134	15	σ	σ	PROPN
cana-5492	134	16	,	,	PUNCT
cana-5492	134	17	ϱ	ϱ	NOUN
cana-5492	134	18	)	)	PUNCT
cana-5492	134	19	be	be	VERB
cana-5492	134	20	an	an	DET
cana-5492	134	21	identity	identity	NOUN
cana-5492	134	22	mapping	mapping	NOUN
cana-5492	134	23	,	,	PUNCT
cana-5492	134	24	then	then	ADV
cana-5492	134	25	𝒢	𝒢	PROPN
cana-5492	134	26	is	be	AUX
cana-5492	134	27	a	a	DET
cana-5492	134	28	nscontrapcts	nscontrapct	NOUN
cana-5492	134	29	but	but	CCONJ
cana-5492	134	30	not	not	PART
cana-5492	134	31	nscontracts	nscontract	NOUN
cana-5492	134	32	,	,	PUNCT
cana-5492	134	33	because	because	SCONJ
cana-5492	134	34	the	the	DET
cana-5492	134	35	set	set	NOUN
cana-5492	134	36	𝒢−1(𝑉1	𝒢−1(𝑉1	PROPN
cana-5492	134	37	,	,	PUNCT
cana-5492	134	38	ϱ	ϱ	NOUN
cana-5492	134	39	)	)	PUNCT
cana-5492	134	40	=	=	SYM
cana-5492	134	41	(	(	PUNCT
cana-5492	134	42	𝑆4	𝑆4	PROPN
cana-5492	134	43	,	,	PUNCT
cana-5492	134	44	ϱ	ϱ	NOUN
cana-5492	134	45	)	)	PUNCT
cana-5492	134	46	is	be	AUX
cana-5492	134	47	a	a	DET
cana-5492	134	48	nspcs	nspc	NOUN
cana-5492	134	49	but	but	CCONJ
cana-5492	134	50	not	not	PART
cana-5492	134	51	nscs	nscs	PROPN
cana-5492	134	52	.	.	PROPN
cana-5492	135	1	remark	remark	PROPN
cana-5492	135	2	3.1	3.1	NUM
cana-5492	135	3	from	from	ADP
cana-5492	135	4	the	the	DET
cana-5492	135	5	results	result	NOUN
cana-5492	135	6	discussed	discuss	VERB
cana-5492	135	7	above	above	ADV
cana-5492	135	8	,	,	PUNCT
cana-5492	135	9	the	the	DET
cana-5492	135	10	following	follow	VERB
cana-5492	135	11	diagram	diagram	NOUN
cana-5492	135	12	is	be	AUX
cana-5492	135	13	obtained	obtain	VERB
cana-5492	135	14	.	.	PUNCT
cana-5492	136	1	diagram.1	diagram.1	PROPN
cana-5492	136	2	neutrosophic	neutrosophic	PROPN
cana-5492	136	3	soft	soft	ADJ
cana-5492	136	4	contra	contra	PROPN
cana-5492	136	5	z	z	PROPN
cana-5492	136	6	–	–	PUNCT
cana-5492	136	7	continuous	continuous	ADJ
cana-5492	136	8	maps	map	NOUN
cana-5492	136	9	example	example	NOUN
cana-5492	136	10	3.3	3.3	NUM
cana-5492	136	11	let	let	VERB
cana-5492	136	12	𝕎	𝕎	PROPN
cana-5492	136	13	=	=	SYM
cana-5492	136	14	{	{	PUNCT
cana-5492	136	15	𝑤1	𝑤1	PROPN
cana-5492	136	16	,	,	PUNCT
cana-5492	136	17	𝑤2	𝑤2	NOUN
cana-5492	136	18	,	,	PUNCT
cana-5492	136	19	𝑤3	𝑤3	NOUN
cana-5492	136	20	}	}	PUNCT
cana-5492	136	21	=	=	SYM
cana-5492	136	22	{	{	PUNCT
cana-5492	136	23	𝑡1	𝑡1	NOUN
cana-5492	136	24	,	,	PUNCT
cana-5492	136	25	𝑡2	𝑡2	PROPN
cana-5492	136	26	,	,	PUNCT
cana-5492	136	27	𝑡3	𝑡3	PROPN
cana-5492	136	28	}	}	PUNCT
cana-5492	136	29	=	=	SYM
cana-5492	136	30	𝕋	𝕋	PROPN
cana-5492	136	31	,	,	PUNCT
cana-5492	136	32	ϱ	ϱ	NOUN
cana-5492	136	33	=	=	SYM
cana-5492	136	34	{	{	PUNCT
cana-5492	136	35	𝑒1	𝑒1	NOUN
cana-5492	136	36	,	,	PUNCT
cana-5492	136	37	𝑒2	𝑒2	NOUN
cana-5492	136	38	}	}	PUNCT
cana-5492	136	39	and	and	CCONJ
cana-5492	136	40	ns	ns	NUM
cana-5492	136	41	sets	set	NOUN
cana-5492	136	42	(	(	PUNCT
cana-5492	136	43	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	136	44	)	)	PUNCT
cana-5492	136	45	,	,	PUNCT
cana-5492	136	46	(	(	PUNCT
cana-5492	136	47	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	136	48	)	)	PUNCT
cana-5492	136	49	and	and	CCONJ
cana-5492	136	50	(	(	PUNCT
cana-5492	136	51	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	136	52	)	)	PUNCT
cana-5492	136	53	in	in	ADP
cana-5492	136	54	𝕎	𝕎	PROPN
cana-5492	136	55	and	and	CCONJ
cana-5492	136	56	(	(	PUNCT
cana-5492	136	57	𝑉1	𝑉1	PROPN
cana-5492	136	58	,	,	PUNCT
cana-5492	136	59	ϱ	ϱ	NOUN
cana-5492	136	60	)	)	PUNCT
cana-5492	136	61	in	in	ADP
cana-5492	136	62	𝕋	𝕋	PRON
cana-5492	136	63	are	be	AUX
cana-5492	136	64	defined	define	VERB
cana-5492	136	65	as	as	ADP
cana-5492	136	66	(	(	PUNCT
cana-5492	136	67	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	136	68	)	)	PUNCT
cana-5492	136	69	=	=	PUNCT
cana-5492	137	1	〈	〈	PROPN
cana-5492	137	2	(	(	PUNCT
cana-5492	137	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	137	4	,	,	PUNCT
cana-5492	137	5	0.4	0.4	NUM
cana-5492	137	6	,	,	PUNCT
cana-5492	137	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	137	8	0.5	0.5	NUM
cana-5492	137	9	,	,	PUNCT
cana-5492	137	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	137	11	0.6	0.6	NUM
cana-5492	137	12	)	)	PUNCT
cana-5492	137	13	,	,	PUNCT
cana-5492	137	14	(	(	PUNCT
cana-5492	137	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	137	16	0.5	0.5	NUM
cana-5492	137	17	,	,	PUNCT
cana-5492	137	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	137	19	0.4	0.4	NUM
cana-5492	137	20	,	,	PUNCT
cana-5492	137	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	137	22	0.8	0.8	NUM
cana-5492	137	23	)	)	PUNCT
cana-5492	137	24	,	,	PUNCT
cana-5492	137	25	(	(	PUNCT
cana-5492	137	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	137	27	0.4	0.4	NUM
cana-5492	137	28	,	,	PUNCT
cana-5492	137	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	137	30	0.5	0.5	NUM
cana-5492	137	31	,	,	PUNCT
cana-5492	137	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	137	33	0.7	0.7	NUM
cana-5492	137	34	)	)	PUNCT
cana-5492	137	35	〉	〉	NOUN
cana-5492	137	36	(	(	PUNCT
cana-5492	137	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	137	38	)	)	PUNCT
cana-5492	137	39	=	=	PUNCT
cana-5492	137	40	〈	〈	PROPN
cana-5492	137	41	(	(	PUNCT
cana-5492	137	42	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	137	43	,	,	PUNCT
cana-5492	137	44	0.2	0.2	NUM
cana-5492	137	45	,	,	PUNCT
cana-5492	137	46	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	137	47	0.4	0.4	NUM
cana-5492	137	48	,	,	PUNCT
cana-5492	137	49	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	137	50	0.6	0.6	NUM
cana-5492	137	51	)	)	PUNCT
cana-5492	137	52	,	,	PUNCT
cana-5492	137	53	(	(	PUNCT
cana-5492	137	54	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	137	55	0.2	0.2	NUM
cana-5492	137	56	,	,	PUNCT
cana-5492	137	57	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	137	58	0.5	0.5	NUM
cana-5492	137	59	,	,	PUNCT
cana-5492	137	60	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	137	61	0.7	0.7	NUM
cana-5492	137	62	)	)	PUNCT
cana-5492	137	63	,	,	PUNCT
cana-5492	137	64	(	(	PUNCT
cana-5492	137	65	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	137	66	0.2	0.2	NUM
cana-5492	137	67	,	,	PUNCT
cana-5492	137	68	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	137	69	0.5	0.5	NUM
cana-5492	137	70	,	,	PUNCT
cana-5492	137	71	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	137	72	0.8	0.8	NUM
cana-5492	137	73	)	)	PUNCT
cana-5492	137	74	〉	〉	NOUN
cana-5492	137	75	nscontra𝛿cts	nscontra𝛿ct	VERB
cana-5492	137	76	nnnnnsnsc𝛿	nnnnnsnsc𝛿	NOUN
cana-5492	137	77	os	os	PROPN
cana-5492	137	78	nscontracts	nscontract	NOUN
cana-5492	137	79	ns	ns	ADJ
cana-5492	137	80	type	type	NOUN
cana-5492	137	81	equation	equation	NOUN
cana-5492	137	82	here	here	ADV
cana-5492	137	83	.	.	PUNCT
cana-5492	138	1	os	os	PROPN
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cana-5492	138	3	nscontra𝛿scts	nscontra𝛿sct	NOUN
cana-5492	138	4	nscontrazcts	nscontrazct	NOUN
cana-5492	139	1	ns	ns	NUM
cana-5492	139	2	type	type	NOUN
cana-5492	139	3	equation	equation	NOUN
cana-5492	139	4	here	here	ADV
cana-5492	139	5	.	.	PUNCT
cana-5492	140	1	os	os	PROPN
cana-5492	140	2	nscontraects	nscontraect	NOUN
cana-5492	140	3	ns	ns	NUM
cana-5492	140	4	type	type	NOUN
cana-5492	140	5	equation	equation	NOUN
cana-5492	140	6	here	here	ADV
cana-5492	140	7	.	.	PUNCT
cana-5492	141	1	os	os	NOUN
cana-5492	141	2	communications	communication	NOUN
cana-5492	141	3	on	on	ADP
cana-5492	141	4	applied	apply	VERB
cana-5492	141	5	nonlinear	nonlinear	ADJ
cana-5492	141	6	analysis	analysis	NOUN
cana-5492	141	7	issn	issn	NOUN
cana-5492	141	8	:	:	PUNCT
cana-5492	141	9	1074	1074	NUM
cana-5492	141	10	-	-	PUNCT
cana-5492	141	11	133x	133x	NUM
cana-5492	141	12	vol	vol	VERB
cana-5492	141	13	32	32	NUM
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cana-5492	141	15	.	.	PUNCT
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cana-5492	142	2	(	(	PUNCT
cana-5492	142	3	2025	2025	NUM
cana-5492	142	4	)	)	PUNCT
cana-5492	142	5	2448	2448	NUM
cana-5492	142	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	142	7	(	(	PUNCT
cana-5492	142	8	𝑆2	𝑆2	PROPN
cana-5492	142	9	,	,	PUNCT
cana-5492	142	10	𝑒1	𝑒1	NOUN
cana-5492	142	11	)	)	PUNCT
cana-5492	142	12	=	=	PUNCT
cana-5492	143	1	〈	〈	PROPN
cana-5492	143	2	(	(	PUNCT
cana-5492	143	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	143	4	,	,	PUNCT
cana-5492	143	5	0.5	0.5	NUM
cana-5492	143	6	,	,	PUNCT
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cana-5492	143	8	0.5	0.5	NUM
cana-5492	143	9	,	,	PUNCT
cana-5492	143	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	143	11	0.6	0.6	NUM
cana-5492	143	12	)	)	PUNCT
cana-5492	143	13	,	,	PUNCT
cana-5492	143	14	(	(	PUNCT
cana-5492	143	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	143	16	0.5	0.5	NUM
cana-5492	143	17	,	,	PUNCT
cana-5492	143	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	143	19	0.5	0.5	NUM
cana-5492	143	20	,	,	PUNCT
cana-5492	143	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	143	22	0.5	0.5	NUM
cana-5492	143	23	)	)	PUNCT
cana-5492	143	24	,	,	PUNCT
cana-5492	143	25	(	(	PUNCT
cana-5492	143	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	143	27	0.6	0.6	NUM
cana-5492	143	28	,	,	PUNCT
cana-5492	143	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	143	30	0.5	0.5	NUM
cana-5492	143	31	,	,	PUNCT
cana-5492	143	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	143	33	0.6	0.6	NUM
cana-5492	143	34	)	)	PUNCT
cana-5492	143	35	〉	〉	NOUN
cana-5492	143	36	(	(	PUNCT
cana-5492	143	37	𝑆2	𝑆2	PROPN
cana-5492	143	38	,	,	PUNCT
cana-5492	143	39	𝑒2	𝑒2	PROPN
cana-5492	143	40	)	)	PUNCT
cana-5492	143	41	=	=	PUNCT
cana-5492	144	1	〈	〈	PROPN
cana-5492	144	2	(	(	PUNCT
cana-5492	144	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	144	4	,	,	PUNCT
cana-5492	144	5	0.4	0.4	NUM
cana-5492	144	6	,	,	PUNCT
cana-5492	144	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	144	8	0.6	0.6	NUM
cana-5492	144	9	,	,	PUNCT
cana-5492	144	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	144	11	0.6	0.6	NUM
cana-5492	144	12	)	)	PUNCT
cana-5492	144	13	,	,	PUNCT
cana-5492	144	14	(	(	PUNCT
cana-5492	144	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	144	16	0.3	0.3	NUM
cana-5492	144	17	,	,	PUNCT
cana-5492	144	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	144	19	0.5	0.5	NUM
cana-5492	144	20	,	,	PUNCT
cana-5492	144	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	144	22	0.7	0.7	NUM
cana-5492	144	23	)	)	PUNCT
cana-5492	144	24	,	,	PUNCT
cana-5492	144	25	(	(	PUNCT
cana-5492	144	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	144	27	0.3	0.3	NUM
cana-5492	144	28	,	,	PUNCT
cana-5492	144	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	144	30	0.7	0.7	NUM
cana-5492	144	31	,	,	PUNCT
cana-5492	144	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	144	33	0.4	0.4	NUM
cana-5492	144	34	)	)	PUNCT
cana-5492	144	35	〉	〉	NOUN
cana-5492	144	36	(	(	PUNCT
cana-5492	144	37	𝑆3	𝑆3	PROPN
cana-5492	144	38	,	,	PUNCT
cana-5492	144	39	𝑒1	𝑒1	NOUN
cana-5492	144	40	)	)	PUNCT
cana-5492	144	41	=	=	PUNCT
cana-5492	145	1	〈	〈	PROPN
cana-5492	145	2	(	(	PUNCT
cana-5492	145	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	145	4	,	,	PUNCT
cana-5492	145	5	0.3	0.3	NUM
cana-5492	145	6	,	,	PUNCT
cana-5492	145	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	145	8	0.4	0.4	NUM
cana-5492	145	9	,	,	PUNCT
cana-5492	145	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	145	11	0.7	0.7	NUM
cana-5492	145	12	)	)	PUNCT
cana-5492	145	13	,	,	PUNCT
cana-5492	145	14	(	(	PUNCT
cana-5492	145	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	145	16	0.1	0.1	NUM
cana-5492	145	17	,	,	PUNCT
cana-5492	145	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	145	19	0.3	0.3	NUM
cana-5492	145	20	,	,	PUNCT
cana-5492	145	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	145	22	0.8	0.8	NUM
cana-5492	145	23	)	)	PUNCT
cana-5492	145	24	,	,	PUNCT
cana-5492	145	25	(	(	PUNCT
cana-5492	145	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	145	27	0.2	0.2	NUM
cana-5492	145	28	,	,	PUNCT
cana-5492	145	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	145	30	0.3	0.3	NUM
cana-5492	145	31	,	,	PUNCT
cana-5492	145	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	145	33	0.8	0.8	NUM
cana-5492	145	34	)	)	PUNCT
cana-5492	145	35	〉	〉	NOUN
cana-5492	145	36	(	(	PUNCT
cana-5492	145	37	𝑆3	𝑆3	PROPN
cana-5492	145	38	,	,	PUNCT
cana-5492	145	39	𝑒2	𝑒2	PROPN
cana-5492	145	40	)	)	PUNCT
cana-5492	145	41	=	=	PUNCT
cana-5492	146	1	〈	〈	PROPN
cana-5492	146	2	(	(	PUNCT
cana-5492	146	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	146	4	,	,	PUNCT
cana-5492	146	5	0.1	0.1	NUM
cana-5492	146	6	,	,	PUNCT
cana-5492	146	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	146	8	0.3	0.3	NUM
cana-5492	146	9	,	,	PUNCT
cana-5492	146	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	146	11	0.7	0.7	NUM
cana-5492	146	12	)	)	PUNCT
cana-5492	146	13	,	,	PUNCT
cana-5492	146	14	(	(	PUNCT
cana-5492	146	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	146	16	0.1	0.1	NUM
cana-5492	146	17	,	,	PUNCT
cana-5492	146	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	146	19	0.5	0.5	NUM
cana-5492	146	20	,	,	PUNCT
cana-5492	146	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	146	22	0.8	0.8	NUM
cana-5492	146	23	)	)	PUNCT
cana-5492	146	24	,	,	PUNCT
cana-5492	146	25	(	(	PUNCT
cana-5492	146	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	146	27	0.1	0.1	NUM
cana-5492	146	28	,	,	PUNCT
cana-5492	146	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	146	30	0.5	0.5	NUM
cana-5492	146	31	,	,	PUNCT
cana-5492	146	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	146	33	0.9	0.9	NUM
cana-5492	146	34	)	)	PUNCT
cana-5492	146	35	〉	〉	NOUN
cana-5492	146	36	(	(	PUNCT
cana-5492	146	37	𝑆4	𝑆4	PROPN
cana-5492	146	38	,	,	PUNCT
cana-5492	146	39	𝑒1	𝑒1	NOUN
cana-5492	146	40	)	)	PUNCT
cana-5492	146	41	=	=	SYM
cana-5492	146	42	〈	〈	PROPN
cana-5492	146	43	(	(	PUNCT
cana-5492	146	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	146	45	,	,	PUNCT
cana-5492	146	46	0.5	0.5	NUM
cana-5492	146	47	,	,	PUNCT
cana-5492	146	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	146	49	0.5	0.5	NUM
cana-5492	146	50	,	,	PUNCT
cana-5492	146	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	146	52	0.5	0.5	NUM
cana-5492	146	53	)	)	PUNCT
cana-5492	146	54	,	,	PUNCT
cana-5492	146	55	(	(	PUNCT
cana-5492	146	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	146	57	0.6	0.6	NUM
cana-5492	146	58	,	,	PUNCT
cana-5492	146	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	146	60	0.5	0.5	NUM
cana-5492	146	61	,	,	PUNCT
cana-5492	146	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	146	63	0.6	0.6	NUM
cana-5492	146	64	)	)	PUNCT
cana-5492	146	65	,	,	PUNCT
cana-5492	146	66	(	(	PUNCT
cana-5492	146	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	146	68	0.4	0.4	NUM
cana-5492	146	69	,	,	PUNCT
cana-5492	146	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	146	71	0.5	0.5	NUM
cana-5492	146	72	,	,	PUNCT
cana-5492	146	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	146	74	0.5	0.5	NUM
cana-5492	146	75	)	)	PUNCT
cana-5492	146	76	〉	〉	NOUN
cana-5492	146	77	(	(	PUNCT
cana-5492	146	78	𝑆4	𝑆4	PROPN
cana-5492	146	79	,	,	PUNCT
cana-5492	146	80	𝑒2	𝑒2	PROPN
cana-5492	146	81	)	)	PUNCT
cana-5492	146	82	=	=	PUNCT
cana-5492	147	1	〈	〈	PROPN
cana-5492	147	2	(	(	PUNCT
cana-5492	147	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	147	4	,	,	PUNCT
cana-5492	147	5	0.2	0.2	NUM
cana-5492	147	6	,	,	PUNCT
cana-5492	147	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	147	8	0.5	0.5	NUM
cana-5492	147	9	,	,	PUNCT
cana-5492	147	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	147	11	0.3	0.3	NUM
cana-5492	147	12	)	)	PUNCT
cana-5492	147	13	,	,	PUNCT
cana-5492	147	14	(	(	PUNCT
cana-5492	147	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	147	16	0.6	0.6	NUM
cana-5492	147	17	,	,	PUNCT
cana-5492	147	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	147	19	0.5	0.5	NUM
cana-5492	147	20	,	,	PUNCT
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cana-5492	147	22	0.4	0.4	NUM
cana-5492	147	23	)	)	PUNCT
cana-5492	147	24	,	,	PUNCT
cana-5492	147	25	(	(	PUNCT
cana-5492	147	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	147	27	0.4	0.4	NUM
cana-5492	147	28	,	,	PUNCT
cana-5492	147	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	147	30	0.5	0.5	NUM
cana-5492	147	31	,	,	PUNCT
cana-5492	147	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	147	33	0.3	0.3	NUM
cana-5492	147	34	)	)	PUNCT
cana-5492	147	35	〉	〉	NOUN
cana-5492	147	36	(	(	PUNCT
cana-5492	147	37	𝑉1	𝑉1	NOUN
cana-5492	147	38	,	,	PUNCT
cana-5492	147	39	𝑒1	𝑒1	NOUN
cana-5492	147	40	)	)	PUNCT
cana-5492	147	41	=	=	SYM
cana-5492	148	1	〈	〈	PROPN
cana-5492	148	2	(	(	PUNCT
cana-5492	148	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	148	4	,	,	PUNCT
cana-5492	148	5	0.5	0.5	NUM
cana-5492	148	6	,	,	PUNCT
cana-5492	148	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	148	8	0.5	0.5	NUM
cana-5492	148	9	,	,	PUNCT
cana-5492	148	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	148	11	0.5	0.5	NUM
cana-5492	148	12	)	)	PUNCT
cana-5492	148	13	,	,	PUNCT
cana-5492	148	14	(	(	PUNCT
cana-5492	148	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	148	16	0.6	0.6	NUM
cana-5492	148	17	,	,	PUNCT
cana-5492	148	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	148	19	0.5	0.5	NUM
cana-5492	148	20	,	,	PUNCT
cana-5492	148	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	148	22	0.6	0.6	NUM
cana-5492	148	23	)	)	PUNCT
cana-5492	148	24	,	,	PUNCT
cana-5492	148	25	(	(	PUNCT
cana-5492	148	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	148	27	0.4	0.4	NUM
cana-5492	148	28	,	,	PUNCT
cana-5492	148	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	148	30	0.5	0.5	NUM
cana-5492	148	31	,	,	PUNCT
cana-5492	148	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	148	33	0.5	0.5	NUM
cana-5492	148	34	)	)	PUNCT
cana-5492	148	35	〉	〉	NOUN
cana-5492	148	36	(	(	PUNCT
cana-5492	148	37	𝑉1	𝑉1	PROPN
cana-5492	148	38	,	,	PUNCT
cana-5492	148	39	𝑒2	𝑒2	NOUN
cana-5492	148	40	)	)	PUNCT
cana-5492	148	41	=	=	PUNCT
cana-5492	149	1	〈	〈	PROPN
cana-5492	149	2	(	(	PUNCT
cana-5492	149	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	149	4	,	,	PUNCT
cana-5492	149	5	0.2	0.2	NUM
cana-5492	149	6	,	,	PUNCT
cana-5492	149	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	149	8	0.5	0.5	NUM
cana-5492	149	9	,	,	PUNCT
cana-5492	149	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	149	11	0.3	0.3	NUM
cana-5492	149	12	)	)	PUNCT
cana-5492	149	13	,	,	PUNCT
cana-5492	149	14	(	(	PUNCT
cana-5492	149	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	149	16	0.6	0.6	NUM
cana-5492	149	17	,	,	PUNCT
cana-5492	149	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	149	19	0.5	0.5	NUM
cana-5492	149	20	,	,	PUNCT
cana-5492	149	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	149	22	0.4	0.4	NUM
cana-5492	149	23	)	)	PUNCT
cana-5492	149	24	,	,	PUNCT
cana-5492	149	25	(	(	PUNCT
cana-5492	149	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	149	27	0.4	0.4	NUM
cana-5492	149	28	,	,	PUNCT
cana-5492	149	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	149	30	0.5	0.5	NUM
cana-5492	149	31	,	,	PUNCT
cana-5492	149	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	149	33	0.3	0.3	NUM
cana-5492	149	34	)	)	PUNCT
cana-5492	149	35	〉	〉	NOUN
cana-5492	149	36	here	here	ADV
cana-5492	149	37	,	,	PUNCT
cana-5492	149	38	we	we	PRON
cana-5492	149	39	have	have	VERB
cana-5492	149	40	τ	τ	X
cana-5492	149	41	=	=	X
cana-5492	149	42	{	{	PUNCT
cana-5492	149	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	149	44	)	)	PUNCT
cana-5492	149	45	,	,	PUNCT
cana-5492	149	46	1(𝕎	1(𝕎	INTJ
cana-5492	149	47	,	,	PUNCT
cana-5492	149	48	𝜚	𝜚	NOUN
cana-5492	149	49	)	)	PUNCT
cana-5492	149	50	,	,	PUNCT
cana-5492	149	51	(	(	PUNCT
cana-5492	149	52	𝑆1	𝑆1	PROPN
cana-5492	149	53	,	,	PUNCT
cana-5492	149	54	ϱ	ϱ	NOUN
cana-5492	149	55	)	)	PUNCT
cana-5492	149	56	,	,	PUNCT
cana-5492	149	57	(	(	PUNCT
cana-5492	149	58	𝑆2	𝑆2	PROPN
cana-5492	149	59	,	,	PUNCT
cana-5492	149	60	ϱ	ϱ	NOUN
cana-5492	149	61	)	)	PUNCT
cana-5492	149	62	,	,	PUNCT
cana-5492	149	63	(	(	PUNCT
cana-5492	149	64	𝑆3	𝑆3	PROPN
cana-5492	149	65	,	,	PUNCT
cana-5492	149	66	ϱ	ϱ	NOUN
cana-5492	149	67	)	)	PUNCT
cana-5492	149	68	}	}	PUNCT
cana-5492	149	69	and	and	CCONJ
cana-5492	149	70	𝜎	𝜎	X
cana-5492	149	71	=	=	X
cana-5492	149	72	{	{	PUNCT
cana-5492	149	73	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	149	74	)	)	PUNCT
cana-5492	149	75	,	,	PUNCT
cana-5492	149	76	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	149	77	)	)	PUNCT
cana-5492	149	78	,	,	PUNCT
cana-5492	149	79	(	(	PUNCT
cana-5492	149	80	𝑉1	𝑉1	NOUN
cana-5492	149	81	,	,	PUNCT
cana-5492	149	82	ϱ	ϱ	NOUN
cana-5492	149	83	)	)	PUNCT
cana-5492	149	84	}	}	PUNCT
cana-5492	149	85	.	.	PUNCT
cana-5492	150	1	let	let	VERB
cana-5492	150	2	𝒢	𝒢	PROPN
cana-5492	150	3	∶	∶	NOUN
cana-5492	150	4	(	(	PUNCT
cana-5492	150	5	𝕎	𝕎	PROPN
cana-5492	150	6	,	,	PUNCT
cana-5492	150	7	τ	τ	PROPN
cana-5492	150	8	,	,	PUNCT
cana-5492	150	9	ϱ	ϱ	PROPN
cana-5492	150	10	)	)	PUNCT
cana-5492	150	11	→	→	SYM
cana-5492	150	12	(	(	PUNCT
cana-5492	150	13	𝕋	𝕋	PROPN
cana-5492	150	14	,	,	PUNCT
cana-5492	150	15	σ	σ	PROPN
cana-5492	150	16	,	,	PUNCT
cana-5492	150	17	ϱ	ϱ	NOUN
cana-5492	150	18	)	)	PUNCT
cana-5492	150	19	be	be	VERB
cana-5492	150	20	an	an	DET
cana-5492	150	21	identity	identity	NOUN
cana-5492	150	22	mapping	mapping	NOUN
cana-5492	150	23	,	,	PUNCT
cana-5492	150	24	then	then	ADV
cana-5492	150	25	(	(	PUNCT
cana-5492	150	26	i	i	NOUN
cana-5492	150	27	)	)	PUNCT
cana-5492	151	1	𝒢	𝒢	NOUN
cana-5492	151	2	is	be	AUX
cana-5492	151	3	a	a	DET
cana-5492	151	4	nscontrazscts	nscontrazsct	NOUN
cana-5492	151	5	but	but	CCONJ
cana-5492	151	6	not	not	PART
cana-5492	151	7	nscontra𝛿cts	nscontra𝛿ct	NOUN
cana-5492	151	8	,	,	PUNCT
cana-5492	151	9	because	because	SCONJ
cana-5492	151	10	the	the	DET
cana-5492	151	11	set	set	NOUN
cana-5492	151	12	𝒢−1(𝑉1	𝒢−1(𝑉1	PROPN
cana-5492	151	13	,	,	PUNCT
cana-5492	151	14	ϱ	ϱ	NOUN
cana-5492	151	15	)	)	PUNCT
cana-5492	151	16	=	=	SYM
cana-5492	151	17	(	(	PUNCT
cana-5492	151	18	𝑆4	𝑆4	PROPN
cana-5492	151	19	,	,	PUNCT
cana-5492	151	20	ϱ	ϱ	NOUN
cana-5492	151	21	)	)	PUNCT
cana-5492	151	22	is	be	AUX
cana-5492	151	23	a	a	DET
cana-5492	151	24	ns𝛿zcs	ns𝛿zcs	NOUN
cana-5492	151	25	but	but	CCONJ
cana-5492	151	26	not	not	PART
cana-5492	151	27	nscs	nscs	PROPN
cana-5492	151	28	.	.	PUNCT
cana-5492	152	1	(	(	PUNCT
cana-5492	152	2	ii	ii	NOUN
cana-5492	152	3	)	)	PUNCT
cana-5492	152	4	𝒢	𝒢	NOUN
cana-5492	152	5	is	be	AUX
cana-5492	152	6	a	a	DET
cana-5492	152	7	nscontrazcts	nscontrazct	NOUN
cana-5492	152	8	but	but	CCONJ
cana-5492	152	9	not	not	PART
cana-5492	152	10	nscontrpcts	nscontrpct	NOUN
cana-5492	152	11	,	,	PUNCT
cana-5492	152	12	because	because	SCONJ
cana-5492	152	13	the	the	DET
cana-5492	152	14	set	set	NOUN
cana-5492	152	15	𝒢−1(𝑉1	𝒢−1(𝑉1	PROPN
cana-5492	152	16	,	,	PUNCT
cana-5492	152	17	ϱ	ϱ	NOUN
cana-5492	152	18	)	)	PUNCT
cana-5492	152	19	=	=	SYM
cana-5492	152	20	(	(	PUNCT
cana-5492	152	21	𝑆4	𝑆4	PROPN
cana-5492	152	22	,	,	PUNCT
cana-5492	152	23	ϱ	ϱ	NOUN
cana-5492	152	24	)	)	PUNCT
cana-5492	152	25	is	be	AUX
cana-5492	152	26	a	a	DET
cana-5492	152	27	nszcs	nszcs	NOUN
cana-5492	152	28	but	but	CCONJ
cana-5492	152	29	not	not	PART
cana-5492	152	30	ns𝑃cs	ns𝑃cs	PROPN
cana-5492	152	31	.	.	PUNCT
cana-5492	152	32	example	example	NOUN
cana-5492	152	33	3.4	3.4	NUM
cana-5492	152	34	let	let	VERB
cana-5492	152	35	𝕎	𝕎	PROPN
cana-5492	152	36	=	=	PRON
cana-5492	152	37	{	{	PUNCT
cana-5492	152	38	𝑤1	𝑤1	PROPN
cana-5492	152	39	,	,	PUNCT
cana-5492	152	40	𝑤2	𝑤2	NOUN
cana-5492	152	41	,	,	PUNCT
cana-5492	152	42	𝑤3	𝑤3	NOUN
cana-5492	152	43	}	}	PUNCT
cana-5492	152	44	=	=	SYM
cana-5492	152	45	{	{	PUNCT
cana-5492	152	46	𝑡1	𝑡1	NOUN
cana-5492	152	47	,	,	PUNCT
cana-5492	152	48	𝑡2	𝑡2	PROPN
cana-5492	152	49	,	,	PUNCT
cana-5492	152	50	𝑡3	𝑡3	PROPN
cana-5492	152	51	}	}	PUNCT
cana-5492	152	52	=	=	SYM
cana-5492	152	53	𝕋	𝕋	PROPN
cana-5492	152	54	,	,	PUNCT
cana-5492	152	55	ϱ	ϱ	NOUN
cana-5492	152	56	=	=	SYM
cana-5492	152	57	{	{	PUNCT
cana-5492	152	58	𝑒1	𝑒1	NOUN
cana-5492	152	59	,	,	PUNCT
cana-5492	152	60	𝑒2	𝑒2	NOUN
cana-5492	152	61	}	}	PUNCT
cana-5492	152	62	and	and	CCONJ
cana-5492	152	63	ns	ns	NUM
cana-5492	152	64	sets	set	NOUN
cana-5492	152	65	(	(	PUNCT
cana-5492	152	66	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	152	67	)	)	PUNCT
cana-5492	152	68	,	,	PUNCT
cana-5492	152	69	(	(	PUNCT
cana-5492	152	70	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	152	71	)	)	PUNCT
cana-5492	152	72	and	and	CCONJ
cana-5492	152	73	(	(	PUNCT
cana-5492	152	74	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	152	75	)	)	PUNCT
cana-5492	152	76	in	in	ADP
cana-5492	152	77	𝕎	𝕎	PROPN
cana-5492	152	78	and	and	CCONJ
cana-5492	152	79	(	(	PUNCT
cana-5492	152	80	𝑉1	𝑉1	PROPN
cana-5492	152	81	,	,	PUNCT
cana-5492	152	82	ϱ	ϱ	NOUN
cana-5492	152	83	)	)	PUNCT
cana-5492	152	84	in	in	ADP
cana-5492	152	85	𝕋	𝕋	PRON
cana-5492	152	86	are	be	AUX
cana-5492	152	87	defined	define	VERB
cana-5492	152	88	as	as	ADP
cana-5492	152	89	(	(	PUNCT
cana-5492	152	90	𝑆1	𝑆1	NOUN
cana-5492	152	91	,	,	PUNCT
cana-5492	152	92	𝑒1	𝑒1	NOUN
cana-5492	152	93	)	)	PUNCT
cana-5492	152	94	=	=	SYM
cana-5492	153	1	〈	〈	PROPN
cana-5492	153	2	(	(	PUNCT
cana-5492	153	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	153	4	,	,	PUNCT
cana-5492	153	5	0.4	0.4	NUM
cana-5492	153	6	,	,	PUNCT
cana-5492	153	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	153	8	0.5	0.5	NUM
cana-5492	153	9	,	,	PUNCT
cana-5492	153	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	153	11	0.6	0.6	NUM
cana-5492	153	12	)	)	PUNCT
cana-5492	153	13	,	,	PUNCT
cana-5492	153	14	(	(	PUNCT
cana-5492	153	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	153	16	0.5	0.5	NUM
cana-5492	153	17	,	,	PUNCT
cana-5492	153	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	153	19	0.4	0.4	NUM
cana-5492	153	20	,	,	PUNCT
cana-5492	153	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	153	22	0.8	0.8	NUM
cana-5492	153	23	)	)	PUNCT
cana-5492	153	24	,	,	PUNCT
cana-5492	153	25	(	(	PUNCT
cana-5492	153	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	153	27	0.4	0.4	NUM
cana-5492	153	28	,	,	PUNCT
cana-5492	153	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	153	30	0.5	0.5	NUM
cana-5492	153	31	,	,	PUNCT
cana-5492	153	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	153	33	0.7	0.7	NUM
cana-5492	153	34	)	)	PUNCT
cana-5492	153	35	〉	〉	NOUN
cana-5492	153	36	(	(	PUNCT
cana-5492	153	37	𝑆1	𝑆1	NOUN
cana-5492	153	38	,	,	PUNCT
cana-5492	153	39	𝑒2	𝑒2	NOUN
cana-5492	153	40	)	)	PUNCT
cana-5492	153	41	=	=	PUNCT
cana-5492	154	1	〈	〈	PROPN
cana-5492	154	2	(	(	PUNCT
cana-5492	154	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	154	4	,	,	PUNCT
cana-5492	154	5	0.2	0.2	NUM
cana-5492	154	6	,	,	PUNCT
cana-5492	154	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	154	8	0.4	0.4	NUM
cana-5492	154	9	,	,	PUNCT
cana-5492	154	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	154	11	0.6	0.6	NUM
cana-5492	154	12	)	)	PUNCT
cana-5492	154	13	,	,	PUNCT
cana-5492	154	14	(	(	PUNCT
cana-5492	154	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	154	16	0.2	0.2	NUM
cana-5492	154	17	,	,	PUNCT
cana-5492	154	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	154	19	0.5	0.5	NUM
cana-5492	154	20	,	,	PUNCT
cana-5492	154	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	154	22	0.7	0.7	NUM
cana-5492	154	23	)	)	PUNCT
cana-5492	154	24	,	,	PUNCT
cana-5492	154	25	(	(	PUNCT
cana-5492	154	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	154	27	0.2	0.2	NUM
cana-5492	154	28	,	,	PUNCT
cana-5492	154	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	154	30	0.5	0.5	NUM
cana-5492	154	31	,	,	PUNCT
cana-5492	154	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	154	33	0.8	0.8	NUM
cana-5492	154	34	)	)	PUNCT
cana-5492	154	35	〉	〉	NOUN
cana-5492	154	36	(	(	PUNCT
cana-5492	154	37	𝑆2	𝑆2	PROPN
cana-5492	154	38	,	,	PUNCT
cana-5492	154	39	𝑒1	𝑒1	NOUN
cana-5492	154	40	)	)	PUNCT
cana-5492	154	41	=	=	PUNCT
cana-5492	154	42	〈	〈	PROPN
cana-5492	154	43	(	(	PUNCT
cana-5492	154	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	154	45	,	,	PUNCT
cana-5492	154	46	0.5	0.5	NUM
cana-5492	154	47	,	,	PUNCT
cana-5492	154	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	154	49	0.5	0.5	NUM
cana-5492	154	50	,	,	PUNCT
cana-5492	154	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	154	52	0.6	0.6	NUM
cana-5492	154	53	)	)	PUNCT
cana-5492	154	54	,	,	PUNCT
cana-5492	154	55	(	(	PUNCT
cana-5492	154	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	154	57	0.5	0.5	NUM
cana-5492	154	58	,	,	PUNCT
cana-5492	154	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	154	60	0.5	0.5	NUM
cana-5492	154	61	,	,	PUNCT
cana-5492	154	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	154	63	0.5	0.5	NUM
cana-5492	154	64	)	)	PUNCT
cana-5492	154	65	,	,	PUNCT
cana-5492	154	66	(	(	PUNCT
cana-5492	154	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	154	68	0.6	0.6	NUM
cana-5492	154	69	,	,	PUNCT
cana-5492	154	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	154	71	0.5	0.5	NUM
cana-5492	154	72	,	,	PUNCT
cana-5492	154	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	154	74	0.6	0.6	NUM
cana-5492	154	75	)	)	PUNCT
cana-5492	154	76	〉	〉	NOUN
cana-5492	154	77	(	(	PUNCT
cana-5492	154	78	𝑆2	𝑆2	PROPN
cana-5492	154	79	,	,	PUNCT
cana-5492	154	80	𝑒2	𝑒2	PROPN
cana-5492	154	81	)	)	PUNCT
cana-5492	154	82	=	=	PUNCT
cana-5492	155	1	〈	〈	PROPN
cana-5492	155	2	(	(	PUNCT
cana-5492	155	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	155	4	,	,	PUNCT
cana-5492	155	5	0.4	0.4	NUM
cana-5492	155	6	,	,	PUNCT
cana-5492	155	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	155	8	0.6	0.6	NUM
cana-5492	155	9	,	,	PUNCT
cana-5492	155	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	155	11	0.6	0.6	NUM
cana-5492	155	12	)	)	PUNCT
cana-5492	155	13	,	,	PUNCT
cana-5492	155	14	(	(	PUNCT
cana-5492	155	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	155	16	0.3	0.3	NUM
cana-5492	155	17	,	,	PUNCT
cana-5492	155	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	155	19	0.5	0.5	NUM
cana-5492	155	20	,	,	PUNCT
cana-5492	155	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	155	22	0.7	0.7	NUM
cana-5492	155	23	)	)	PUNCT
cana-5492	155	24	,	,	PUNCT
cana-5492	155	25	(	(	PUNCT
cana-5492	155	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	155	27	0.3	0.3	NUM
cana-5492	155	28	,	,	PUNCT
cana-5492	155	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	155	30	0.7	0.7	NUM
cana-5492	155	31	,	,	PUNCT
cana-5492	155	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	155	33	0.4	0.4	NUM
cana-5492	155	34	)	)	PUNCT
cana-5492	155	35	〉	〉	NOUN
cana-5492	155	36	(	(	PUNCT
cana-5492	155	37	𝑆3	𝑆3	PROPN
cana-5492	155	38	,	,	PUNCT
cana-5492	155	39	𝑒1	𝑒1	NOUN
cana-5492	155	40	)	)	PUNCT
cana-5492	155	41	=	=	PUNCT
cana-5492	156	1	〈	〈	PROPN
cana-5492	156	2	(	(	PUNCT
cana-5492	156	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	156	4	,	,	PUNCT
cana-5492	156	5	0.3	0.3	NUM
cana-5492	156	6	,	,	PUNCT
cana-5492	156	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	156	8	0.4	0.4	NUM
cana-5492	156	9	,	,	PUNCT
cana-5492	156	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	156	11	0.7	0.7	NUM
cana-5492	156	12	)	)	PUNCT
cana-5492	156	13	,	,	PUNCT
cana-5492	156	14	(	(	PUNCT
cana-5492	156	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	156	16	0.1	0.1	NUM
cana-5492	156	17	,	,	PUNCT
cana-5492	156	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	156	19	0.3	0.3	NUM
cana-5492	156	20	,	,	PUNCT
cana-5492	156	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	156	22	0.8	0.8	NUM
cana-5492	156	23	)	)	PUNCT
cana-5492	156	24	,	,	PUNCT
cana-5492	156	25	(	(	PUNCT
cana-5492	156	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	156	27	0.2	0.2	NUM
cana-5492	156	28	,	,	PUNCT
cana-5492	156	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	156	30	0.3	0.3	NUM
cana-5492	156	31	,	,	PUNCT
cana-5492	156	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	156	33	0.8	0.8	NUM
cana-5492	156	34	)	)	PUNCT
cana-5492	156	35	〉	〉	NOUN
cana-5492	156	36	(	(	PUNCT
cana-5492	156	37	𝑆3	𝑆3	PROPN
cana-5492	156	38	,	,	PUNCT
cana-5492	156	39	𝑒2	𝑒2	PROPN
cana-5492	156	40	)	)	PUNCT
cana-5492	156	41	=	=	PUNCT
cana-5492	157	1	〈	〈	PROPN
cana-5492	157	2	(	(	PUNCT
cana-5492	157	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	157	4	,	,	PUNCT
cana-5492	157	5	0.1	0.1	NUM
cana-5492	157	6	,	,	PUNCT
cana-5492	157	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	157	8	0.3	0.3	NUM
cana-5492	157	9	,	,	PUNCT
cana-5492	157	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	157	11	0.7	0.7	NUM
cana-5492	157	12	)	)	PUNCT
cana-5492	157	13	,	,	PUNCT
cana-5492	157	14	(	(	PUNCT
cana-5492	157	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	157	16	0.1	0.1	NUM
cana-5492	157	17	,	,	PUNCT
cana-5492	157	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	157	19	0.5	0.5	NUM
cana-5492	157	20	,	,	PUNCT
cana-5492	157	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	157	22	0.8	0.8	NUM
cana-5492	157	23	)	)	PUNCT
cana-5492	157	24	,	,	PUNCT
cana-5492	157	25	(	(	PUNCT
cana-5492	157	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	157	27	0.1	0.1	NUM
cana-5492	157	28	,	,	PUNCT
cana-5492	157	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	157	30	0.5	0.5	NUM
cana-5492	157	31	,	,	PUNCT
cana-5492	157	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	157	33	0.9	0.9	NUM
cana-5492	157	34	)	)	PUNCT
cana-5492	157	35	〉	〉	NOUN
cana-5492	157	36	(	(	PUNCT
cana-5492	157	37	𝑆4	𝑆4	PROPN
cana-5492	157	38	,	,	PUNCT
cana-5492	157	39	𝑒1	𝑒1	NOUN
cana-5492	157	40	)	)	PUNCT
cana-5492	157	41	=	=	SYM
cana-5492	157	42	〈	〈	PROPN
cana-5492	157	43	(	(	PUNCT
cana-5492	157	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	157	45	,	,	PUNCT
cana-5492	157	46	0.7	0.7	NUM
cana-5492	157	47	,	,	PUNCT
cana-5492	157	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	157	49	0.7	0.7	NUM
cana-5492	157	50	,	,	PUNCT
cana-5492	157	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	157	52	0.1	0.1	NUM
cana-5492	157	53	)	)	PUNCT
cana-5492	157	54	,	,	PUNCT
cana-5492	157	55	(	(	PUNCT
cana-5492	157	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	157	57	0.8	0.8	NUM
cana-5492	157	58	,	,	PUNCT
cana-5492	157	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	157	60	0.5	0.5	NUM
cana-5492	157	61	,	,	PUNCT
cana-5492	157	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	157	63	0.1	0.1	NUM
cana-5492	157	64	)	)	PUNCT
cana-5492	157	65	,	,	PUNCT
cana-5492	157	66	(	(	PUNCT
cana-5492	157	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	157	68	0.8	0.8	NUM
cana-5492	157	69	,	,	PUNCT
cana-5492	157	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	157	71	0.7	0.7	NUM
cana-5492	157	72	,	,	PUNCT
cana-5492	157	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	157	74	0.2	0.2	NUM
cana-5492	157	75	)	)	PUNCT
cana-5492	157	76	〉	〉	NOUN
cana-5492	157	77	(	(	PUNCT
cana-5492	157	78	𝑆4	𝑆4	PROPN
cana-5492	157	79	,	,	PUNCT
cana-5492	157	80	𝑒2	𝑒2	PROPN
cana-5492	157	81	)	)	PUNCT
cana-5492	157	82	=	=	PUNCT
cana-5492	158	1	〈	〈	PROPN
cana-5492	158	2	(	(	PUNCT
cana-5492	158	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	158	4	,	,	PUNCT
cana-5492	158	5	0.7	0.7	NUM
cana-5492	158	6	,	,	PUNCT
cana-5492	158	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	158	8	0.7	0.7	NUM
cana-5492	158	9	,	,	PUNCT
cana-5492	158	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	158	11	0.1	0.1	NUM
cana-5492	158	12	)	)	PUNCT
cana-5492	158	13	,	,	PUNCT
cana-5492	158	14	(	(	PUNCT
cana-5492	158	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	158	16	0.8	0.8	NUM
cana-5492	158	17	,	,	PUNCT
cana-5492	158	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	158	19	0.5	0.5	NUM
cana-5492	158	20	,	,	PUNCT
cana-5492	158	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	158	22	0.11	0.11	NUM
cana-5492	158	23	)	)	PUNCT
cana-5492	158	24	,	,	PUNCT
cana-5492	158	25	(	(	PUNCT
cana-5492	158	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	158	27	0.9	0.9	NUM
cana-5492	158	28	,	,	PUNCT
cana-5492	158	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	158	30	0.5	0.5	NUM
cana-5492	158	31	,	,	PUNCT
cana-5492	158	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	158	33	0.1	0.1	NUM
cana-5492	158	34	)	)	PUNCT
cana-5492	158	35	〉	〉	NOUN
cana-5492	158	36	communications	communication	NOUN
cana-5492	158	37	on	on	ADP
cana-5492	158	38	applied	apply	VERB
cana-5492	158	39	nonlinear	nonlinear	ADJ
cana-5492	158	40	analysis	analysis	NOUN
cana-5492	158	41	issn	issn	NOUN
cana-5492	158	42	:	:	PUNCT
cana-5492	158	43	1074	1074	NUM
cana-5492	158	44	-	-	PUNCT
cana-5492	158	45	133x	133x	NUM
cana-5492	158	46	vol	vol	VERB
cana-5492	158	47	32	32	NUM
cana-5492	158	48	no	no	NOUN
cana-5492	158	49	.	.	PUNCT
cana-5492	159	1	10s	10	NOUN
cana-5492	159	2	(	(	PUNCT
cana-5492	159	3	2025	2025	NUM
cana-5492	159	4	)	)	PUNCT
cana-5492	159	5	2449	2449	NUM
cana-5492	159	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	159	7	(	(	PUNCT
cana-5492	159	8	𝑉1	𝑉1	NOUN
cana-5492	159	9	,	,	PUNCT
cana-5492	159	10	𝑒1	𝑒1	NOUN
cana-5492	159	11	)	)	PUNCT
cana-5492	159	12	=	=	SYM
cana-5492	160	1	〈	〈	PROPN
cana-5492	160	2	(	(	PUNCT
cana-5492	160	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	160	4	,	,	PUNCT
cana-5492	160	5	0.7	0.7	NUM
cana-5492	160	6	,	,	PUNCT
cana-5492	160	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	160	8	0.6	0.6	NUM
cana-5492	160	9	,	,	PUNCT
cana-5492	160	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	160	11	0.3	0.3	NUM
cana-5492	160	12	)	)	PUNCT
cana-5492	160	13	,	,	PUNCT
cana-5492	160	14	(	(	PUNCT
cana-5492	160	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	160	16	0.8	0.8	NUM
cana-5492	160	17	,	,	PUNCT
cana-5492	160	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	160	19	0.7	0.7	NUM
cana-5492	160	20	,	,	PUNCT
cana-5492	160	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	160	22	0.1	0.1	NUM
cana-5492	160	23	)	)	PUNCT
cana-5492	160	24	,	,	PUNCT
cana-5492	160	25	(	(	PUNCT
cana-5492	160	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	160	27	0.8	0.8	NUM
cana-5492	160	28	,	,	PUNCT
cana-5492	160	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	160	30	0.7	0.7	NUM
cana-5492	160	31	,	,	PUNCT
cana-5492	160	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	160	33	0.2	0.2	NUM
cana-5492	160	34	)	)	PUNCT
cana-5492	160	35	〉	〉	NOUN
cana-5492	160	36	(	(	PUNCT
cana-5492	160	37	𝑉1	𝑉1	PROPN
cana-5492	160	38	,	,	PUNCT
cana-5492	160	39	𝑒2	𝑒2	NOUN
cana-5492	160	40	)	)	PUNCT
cana-5492	160	41	=	=	PUNCT
cana-5492	161	1	〈	〈	PROPN
cana-5492	161	2	(	(	PUNCT
cana-5492	161	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	161	4	,	,	PUNCT
cana-5492	161	5	0.7	0.7	NUM
cana-5492	161	6	,	,	PUNCT
cana-5492	161	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	161	8	0.7	0.7	NUM
cana-5492	161	9	,	,	PUNCT
cana-5492	161	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	161	11	0.1	0.1	NUM
cana-5492	161	12	)	)	PUNCT
cana-5492	161	13	,	,	PUNCT
cana-5492	161	14	(	(	PUNCT
cana-5492	161	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	161	16	0.8	0.8	NUM
cana-5492	161	17	,	,	PUNCT
cana-5492	161	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	161	19	0.5	0.5	NUM
cana-5492	161	20	,	,	PUNCT
cana-5492	161	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	161	22	0.1	0.1	NUM
cana-5492	161	23	)	)	PUNCT
cana-5492	161	24	,	,	PUNCT
cana-5492	161	25	(	(	PUNCT
cana-5492	161	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	161	27	0.9	0.9	NUM
cana-5492	161	28	,	,	PUNCT
cana-5492	161	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	161	30	0.5	0.5	NUM
cana-5492	161	31	,	,	PUNCT
cana-5492	161	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	161	33	0.1	0.1	NUM
cana-5492	161	34	)	)	PUNCT
cana-5492	161	35	〉	〉	NOUN
cana-5492	161	36	here	here	ADV
cana-5492	161	37	,	,	PUNCT
cana-5492	161	38	we	we	PRON
cana-5492	161	39	have	have	VERB
cana-5492	161	40	τ	τ	X
cana-5492	161	41	=	=	X
cana-5492	161	42	{	{	PUNCT
cana-5492	161	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	161	44	)	)	PUNCT
cana-5492	161	45	,	,	PUNCT
cana-5492	161	46	1(𝕎	1(𝕎	INTJ
cana-5492	161	47	,	,	PUNCT
cana-5492	161	48	𝜚	𝜚	NOUN
cana-5492	161	49	)	)	PUNCT
cana-5492	161	50	,	,	PUNCT
cana-5492	161	51	(	(	PUNCT
cana-5492	161	52	𝑆1	𝑆1	PROPN
cana-5492	161	53	,	,	PUNCT
cana-5492	161	54	ϱ	ϱ	NOUN
cana-5492	161	55	)	)	PUNCT
cana-5492	161	56	,	,	PUNCT
cana-5492	161	57	(	(	PUNCT
cana-5492	161	58	𝑆2	𝑆2	PROPN
cana-5492	161	59	,	,	PUNCT
cana-5492	161	60	ϱ	ϱ	NOUN
cana-5492	161	61	)	)	PUNCT
cana-5492	161	62	,	,	PUNCT
cana-5492	161	63	(	(	PUNCT
cana-5492	161	64	𝑆3	𝑆3	PROPN
cana-5492	161	65	,	,	PUNCT
cana-5492	161	66	ϱ	ϱ	NOUN
cana-5492	161	67	)	)	PUNCT
cana-5492	161	68	}	}	PUNCT
cana-5492	161	69	and	and	CCONJ
cana-5492	161	70	𝜎	𝜎	X
cana-5492	161	71	=	=	X
cana-5492	161	72	{	{	PUNCT
cana-5492	161	73	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	161	74	)	)	PUNCT
cana-5492	161	75	,	,	PUNCT
cana-5492	161	76	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	161	77	)	)	PUNCT
cana-5492	161	78	,	,	PUNCT
cana-5492	161	79	(	(	PUNCT
cana-5492	161	80	𝑉1	𝑉1	NOUN
cana-5492	161	81	,	,	PUNCT
cana-5492	161	82	ϱ	ϱ	NOUN
cana-5492	161	83	)	)	PUNCT
cana-5492	161	84	}	}	PUNCT
cana-5492	161	85	.	.	PUNCT
cana-5492	162	1	let	let	VERB
cana-5492	162	2	𝒢	𝒢	PROPN
cana-5492	162	3	∶	∶	NOUN
cana-5492	162	4	(	(	PUNCT
cana-5492	162	5	𝕎	𝕎	PROPN
cana-5492	162	6	,	,	PUNCT
cana-5492	162	7	τ	τ	PROPN
cana-5492	162	8	,	,	PUNCT
cana-5492	162	9	ϱ	ϱ	PROPN
cana-5492	162	10	)	)	PUNCT
cana-5492	162	11	→	→	SYM
cana-5492	162	12	(	(	PUNCT
cana-5492	162	13	𝕋	𝕋	PROPN
cana-5492	162	14	,	,	PUNCT
cana-5492	162	15	σ	σ	PROPN
cana-5492	162	16	,	,	PUNCT
cana-5492	162	17	ϱ	ϱ	NOUN
cana-5492	162	18	)	)	PUNCT
cana-5492	162	19	be	be	VERB
cana-5492	162	20	an	an	DET
cana-5492	162	21	identity	identity	NOUN
cana-5492	162	22	mapping	mapping	NOUN
cana-5492	162	23	,	,	PUNCT
cana-5492	162	24	the	the	DET
cana-5492	162	25	𝒢	𝒢	PROPN
cana-5492	162	26	is	be	AUX
cana-5492	162	27	a	a	DET
cana-5492	162	28	nscontrazcts	nscontrazct	NOUN
cana-5492	162	29	but	but	CCONJ
cana-5492	162	30	not	not	PART
cana-5492	162	31	nscontra𝛿scts	nscontra𝛿sct	NOUN
cana-5492	162	32	,	,	PUNCT
cana-5492	162	33	because	because	SCONJ
cana-5492	162	34	the	the	DET
cana-5492	162	35	set	set	NOUN
cana-5492	162	36	𝒢−1(𝑉1	𝒢−1(𝑉1	PROPN
cana-5492	162	37	,	,	PUNCT
cana-5492	162	38	ϱ	ϱ	NOUN
cana-5492	162	39	)	)	PUNCT
cana-5492	162	40	=	=	SYM
cana-5492	162	41	(	(	PUNCT
cana-5492	162	42	𝑆4	𝑆4	PROPN
cana-5492	162	43	,	,	PUNCT
cana-5492	162	44	ϱ	ϱ	NOUN
cana-5492	162	45	)	)	PUNCT
cana-5492	162	46	is	be	AUX
cana-5492	162	47	a	a	DET
cana-5492	162	48	nszcs	nszcs	NOUN
cana-5492	162	49	but	but	CCONJ
cana-5492	162	50	not	not	PART
cana-5492	162	51	ns𝛿scs	ns𝛿sc	NOUN
cana-5492	162	52	.	.	PUNCT
cana-5492	162	53	example	example	NOUN
cana-5492	162	54	3.5	3.5	NUM
cana-5492	162	55	let	let	VERB
cana-5492	162	56	𝕎	𝕎	PROPN
cana-5492	162	57	=	=	SYM
cana-5492	162	58	{	{	PUNCT
cana-5492	162	59	𝑤1	𝑤1	PROPN
cana-5492	162	60	,	,	PUNCT
cana-5492	162	61	𝑤2	𝑤2	NOUN
cana-5492	162	62	,	,	PUNCT
cana-5492	162	63	𝑤3	𝑤3	NOUN
cana-5492	162	64	}	}	PUNCT
cana-5492	162	65	=	=	SYM
cana-5492	162	66	{	{	PUNCT
cana-5492	162	67	𝑡1	𝑡1	NOUN
cana-5492	162	68	,	,	PUNCT
cana-5492	162	69	𝑡2	𝑡2	PROPN
cana-5492	162	70	,	,	PUNCT
cana-5492	162	71	𝑡3	𝑡3	PROPN
cana-5492	162	72	}	}	PUNCT
cana-5492	162	73	=	=	SYM
cana-5492	162	74	𝕋	𝕋	PROPN
cana-5492	162	75	,	,	PUNCT
cana-5492	162	76	ϱ	ϱ	NOUN
cana-5492	162	77	=	=	SYM
cana-5492	162	78	{	{	PUNCT
cana-5492	162	79	𝑒1	𝑒1	NOUN
cana-5492	162	80	,	,	PUNCT
cana-5492	162	81	𝑒2	𝑒2	NOUN
cana-5492	162	82	}	}	PUNCT
cana-5492	162	83	and	and	CCONJ
cana-5492	162	84	ns	ns	NUM
cana-5492	162	85	sets	set	NOUN
cana-5492	162	86	(	(	PUNCT
cana-5492	162	87	𝑃1,ϱ	𝑃1,ϱ	PROPN
cana-5492	162	88	)	)	PUNCT
cana-5492	162	89	,	,	PUNCT
cana-5492	162	90	(	(	PUNCT
cana-5492	162	91	𝑃2,ϱ	𝑃2,ϱ	PROPN
cana-5492	162	92	)	)	PUNCT
cana-5492	162	93	and	and	CCONJ
cana-5492	162	94	(	(	PUNCT
cana-5492	162	95	𝑃3,ϱ	𝑃3,ϱ	PROPN
cana-5492	162	96	)	)	PUNCT
cana-5492	162	97	in	in	ADP
cana-5492	162	98	𝕎	𝕎	PROPN
cana-5492	162	99	and	and	CCONJ
cana-5492	162	100	(	(	PUNCT
cana-5492	162	101	𝑄1	𝑄1	PROPN
cana-5492	162	102	,	,	PUNCT
cana-5492	162	103	ϱ	ϱ	NOUN
cana-5492	162	104	)	)	PUNCT
cana-5492	162	105	in	in	ADP
cana-5492	162	106	𝕋	𝕋	PRON
cana-5492	162	107	are	be	AUX
cana-5492	162	108	defined	define	VERB
cana-5492	162	109	as	as	ADP
cana-5492	162	110	(	(	PUNCT
cana-5492	162	111	𝑃1	𝑃1	NOUN
cana-5492	162	112	,	,	PUNCT
cana-5492	162	113	𝑒1	𝑒1	NOUN
cana-5492	162	114	)	)	PUNCT
cana-5492	162	115	=	=	PUNCT
cana-5492	162	116	〈	〈	PROPN
cana-5492	162	117	(	(	PUNCT
cana-5492	162	118	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	162	119	,	,	PUNCT
cana-5492	162	120	0.3	0.3	NUM
cana-5492	162	121	,	,	PUNCT
cana-5492	162	122	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	162	123	0.5	0.5	NUM
cana-5492	162	124	,	,	PUNCT
cana-5492	162	125	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	162	126	0.7	0.7	NUM
cana-5492	162	127	)	)	PUNCT
cana-5492	162	128	,	,	PUNCT
cana-5492	162	129	(	(	PUNCT
cana-5492	162	130	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	162	131	0.4	0.4	NUM
cana-5492	162	132	,	,	PUNCT
cana-5492	162	133	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	162	134	0.3	0.3	NUM
cana-5492	162	135	,	,	PUNCT
cana-5492	162	136	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	162	137	0.9	0.9	NUM
cana-5492	162	138	)	)	PUNCT
cana-5492	162	139	,	,	PUNCT
cana-5492	162	140	(	(	PUNCT
cana-5492	162	141	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	162	142	0.2	0.2	NUM
cana-5492	162	143	,	,	PUNCT
cana-5492	162	144	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	162	145	0.4	0.4	NUM
cana-5492	162	146	,	,	PUNCT
cana-5492	162	147	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	162	148	0.8	0.8	NUM
cana-5492	162	149	)	)	PUNCT
cana-5492	162	150	〉	〉	NOUN
cana-5492	162	151	(	(	PUNCT
cana-5492	162	152	𝑃1	𝑃1	NOUN
cana-5492	162	153	,	,	PUNCT
cana-5492	162	154	𝑒2	𝑒2	NOUN
cana-5492	162	155	)	)	PUNCT
cana-5492	162	156	=	=	PUNCT
cana-5492	163	1	〈	〈	PROPN
cana-5492	163	2	(	(	PUNCT
cana-5492	163	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	163	4	,	,	PUNCT
cana-5492	163	5	0.5	0.5	NUM
cana-5492	163	6	,	,	PUNCT
cana-5492	163	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	163	8	0.5	0.5	NUM
cana-5492	163	9	,	,	PUNCT
cana-5492	163	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	163	11	0.7	0.7	NUM
cana-5492	163	12	)	)	PUNCT
cana-5492	163	13	,	,	PUNCT
cana-5492	163	14	(	(	PUNCT
cana-5492	163	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	163	16	0.3	0.3	NUM
cana-5492	163	17	,	,	PUNCT
cana-5492	163	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	163	19	0.4	0.4	NUM
cana-5492	163	20	,	,	PUNCT
cana-5492	163	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	163	22	0.8	0.8	NUM
cana-5492	163	23	)	)	PUNCT
cana-5492	163	24	,	,	PUNCT
cana-5492	163	25	(	(	PUNCT
cana-5492	163	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	163	27	0.1	0.1	NUM
cana-5492	163	28	,	,	PUNCT
cana-5492	163	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	163	30	0.3	0.3	NUM
cana-5492	163	31	,	,	PUNCT
cana-5492	163	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	163	33	0.8	0.8	NUM
cana-5492	163	34	)	)	PUNCT
cana-5492	163	35	〉	〉	NOUN
cana-5492	163	36	(	(	PUNCT
cana-5492	163	37	𝑃2	𝑃2	PROPN
cana-5492	163	38	,	,	PUNCT
cana-5492	163	39	𝑒1	𝑒1	NOUN
cana-5492	163	40	)	)	PUNCT
cana-5492	163	41	=	=	SYM
cana-5492	164	1	〈	〈	PROPN
cana-5492	164	2	(	(	PUNCT
cana-5492	164	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	164	4	,	,	PUNCT
cana-5492	164	5	0.4	0.4	NUM
cana-5492	164	6	,	,	PUNCT
cana-5492	164	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	164	8	0.5	0.5	NUM
cana-5492	164	9	,	,	PUNCT
cana-5492	164	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	164	11	0.6	0.6	NUM
cana-5492	164	12	)	)	PUNCT
cana-5492	164	13	,	,	PUNCT
cana-5492	164	14	(	(	PUNCT
cana-5492	164	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	164	16	0.6	0.6	NUM
cana-5492	164	17	,	,	PUNCT
cana-5492	164	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	164	19	0.3	0.3	NUM
cana-5492	164	20	,	,	PUNCT
cana-5492	164	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	164	22	0.6	0.6	NUM
cana-5492	164	23	)	)	PUNCT
cana-5492	164	24	,	,	PUNCT
cana-5492	164	25	(	(	PUNCT
cana-5492	164	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	164	27	0.3	0.3	NUM
cana-5492	164	28	,	,	PUNCT
cana-5492	164	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	164	30	0.5	0.5	NUM
cana-5492	164	31	,	,	PUNCT
cana-5492	164	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	164	33	0.5	0.5	NUM
cana-5492	164	34	)	)	PUNCT
cana-5492	164	35	〉	〉	NOUN
cana-5492	164	36	(	(	PUNCT
cana-5492	164	37	𝑃2	𝑃2	PROPN
cana-5492	164	38	,	,	PUNCT
cana-5492	164	39	𝑒2	𝑒2	NOUN
cana-5492	164	40	)	)	PUNCT
cana-5492	164	41	=	=	PUNCT
cana-5492	165	1	〈	〈	PROPN
cana-5492	165	2	(	(	PUNCT
cana-5492	165	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	165	4	,	,	PUNCT
cana-5492	165	5	0.5	0.5	NUM
cana-5492	165	6	,	,	PUNCT
cana-5492	165	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	165	8	0.5	0.5	NUM
cana-5492	165	9	,	,	PUNCT
cana-5492	165	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	165	11	0.5	0.5	NUM
cana-5492	165	12	)	)	PUNCT
cana-5492	165	13	,	,	PUNCT
cana-5492	165	14	(	(	PUNCT
cana-5492	165	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	165	16	0.4	0.4	NUM
cana-5492	165	17	,	,	PUNCT
cana-5492	165	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	165	19	0.5	0.5	NUM
cana-5492	165	20	,	,	PUNCT
cana-5492	165	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	165	22	0.7	0.7	NUM
cana-5492	165	23	)	)	PUNCT
cana-5492	165	24	,	,	PUNCT
cana-5492	165	25	(	(	PUNCT
cana-5492	165	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	165	27	0.2	0.2	NUM
cana-5492	165	28	,	,	PUNCT
cana-5492	165	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	165	30	0.4	0.4	NUM
cana-5492	165	31	,	,	PUNCT
cana-5492	165	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	165	33	0.6	0.6	NUM
cana-5492	165	34	)	)	PUNCT
cana-5492	165	35	〉	〉	NOUN
cana-5492	165	36	(	(	PUNCT
cana-5492	165	37	𝑃3	𝑃3	NOUN
cana-5492	165	38	,	,	PUNCT
cana-5492	165	39	𝑒1	𝑒1	NOUN
cana-5492	165	40	)	)	PUNCT
cana-5492	165	41	=	=	SYM
cana-5492	166	1	〈	〈	PROPN
cana-5492	166	2	(	(	PUNCT
cana-5492	166	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	166	4	,	,	PUNCT
cana-5492	166	5	0.4	0.4	NUM
cana-5492	166	6	,	,	PUNCT
cana-5492	166	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	166	8	0.5	0.5	NUM
cana-5492	166	9	,	,	PUNCT
cana-5492	166	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	166	11	0.4	0.4	NUM
cana-5492	166	12	)	)	PUNCT
cana-5492	166	13	,	,	PUNCT
cana-5492	166	14	(	(	PUNCT
cana-5492	166	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	166	16	0.5	0.5	NUM
cana-5492	166	17	,	,	PUNCT
cana-5492	166	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	166	19	0.5	0.5	NUM
cana-5492	166	20	,	,	PUNCT
cana-5492	166	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	166	22	0.5	0.5	NUM
cana-5492	166	23	)	)	PUNCT
cana-5492	166	24	,	,	PUNCT
cana-5492	166	25	(	(	PUNCT
cana-5492	166	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	166	27	0.3	0.3	NUM
cana-5492	166	28	,	,	PUNCT
cana-5492	166	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	166	30	0.5	0.5	NUM
cana-5492	166	31	,	,	PUNCT
cana-5492	166	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	166	33	0.7	0.7	NUM
cana-5492	166	34	)	)	PUNCT
cana-5492	166	35	〉	〉	NOUN
cana-5492	166	36	(	(	PUNCT
cana-5492	166	37	𝑃3	𝑃3	NOUN
cana-5492	166	38	,	,	PUNCT
cana-5492	166	39	𝑒2	𝑒2	NOUN
cana-5492	166	40	)	)	PUNCT
cana-5492	166	41	=	=	PUNCT
cana-5492	167	1	〈	〈	PROPN
cana-5492	167	2	(	(	PUNCT
cana-5492	167	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	167	4	,	,	PUNCT
cana-5492	167	5	0.6	0.6	NUM
cana-5492	167	6	,	,	PUNCT
cana-5492	167	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	167	8	0.5	0.5	NUM
cana-5492	167	9	,	,	PUNCT
cana-5492	167	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	167	11	0.6	0.6	NUM
cana-5492	167	12	)	)	PUNCT
cana-5492	167	13	,	,	PUNCT
cana-5492	167	14	(	(	PUNCT
cana-5492	167	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	167	16	0.4	0.4	NUM
cana-5492	167	17	,	,	PUNCT
cana-5492	167	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	167	19	0.5	0.5	NUM
cana-5492	167	20	,	,	PUNCT
cana-5492	167	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	167	22	0.8	0.8	NUM
cana-5492	167	23	)	)	PUNCT
cana-5492	167	24	,	,	PUNCT
cana-5492	167	25	(	(	PUNCT
cana-5492	167	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	167	27	0.4	0.4	NUM
cana-5492	167	28	,	,	PUNCT
cana-5492	167	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	167	30	0.3	0.3	NUM
cana-5492	167	31	,	,	PUNCT
cana-5492	167	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	167	33	0.7	0.7	NUM
cana-5492	167	34	)	)	PUNCT
cana-5492	167	35	〉	〉	NOUN
cana-5492	167	36	(	(	PUNCT
cana-5492	167	37	𝑄1	𝑄1	NOUN
cana-5492	167	38	,	,	PUNCT
cana-5492	167	39	𝑒1	𝑒1	NOUN
cana-5492	167	40	)	)	PUNCT
cana-5492	167	41	=	=	SYM
cana-5492	168	1	〈	〈	PROPN
cana-5492	168	2	(	(	PUNCT
cana-5492	168	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	168	4	,	,	PUNCT
cana-5492	168	5	0.4	0.4	NUM
cana-5492	168	6	,	,	PUNCT
cana-5492	168	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	168	8	0.5	0.5	NUM
cana-5492	168	9	,	,	PUNCT
cana-5492	168	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	168	11	0.4	0.4	NUM
cana-5492	168	12	)	)	PUNCT
cana-5492	168	13	,	,	PUNCT
cana-5492	168	14	(	(	PUNCT
cana-5492	168	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	168	16	0.5	0.5	NUM
cana-5492	168	17	,	,	PUNCT
cana-5492	168	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	168	19	0.5	0.5	NUM
cana-5492	168	20	,	,	PUNCT
cana-5492	168	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	168	22	0.5	0.5	NUM
cana-5492	168	23	)	)	PUNCT
cana-5492	168	24	,	,	PUNCT
cana-5492	168	25	(	(	PUNCT
cana-5492	168	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	168	27	0.3	0.3	NUM
cana-5492	168	28	,	,	PUNCT
cana-5492	168	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	168	30	0.5	0.5	NUM
cana-5492	168	31	,	,	PUNCT
cana-5492	168	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	168	33	0.7	0.7	NUM
cana-5492	168	34	)	)	PUNCT
cana-5492	168	35	〉	〉	NOUN
cana-5492	168	36	(	(	PUNCT
cana-5492	168	37	𝑄1	𝑄1	PROPN
cana-5492	168	38	,	,	PUNCT
cana-5492	168	39	𝑒2	𝑒2	PROPN
cana-5492	168	40	)	)	PUNCT
cana-5492	168	41	=	=	PUNCT
cana-5492	169	1	〈	〈	PROPN
cana-5492	169	2	(	(	PUNCT
cana-5492	169	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	169	4	,	,	PUNCT
cana-5492	169	5	0.6	0.6	NUM
cana-5492	169	6	,	,	PUNCT
cana-5492	169	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	169	8	0.5	0.5	NUM
cana-5492	169	9	,	,	PUNCT
cana-5492	169	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	169	11	0.6	0.6	NUM
cana-5492	169	12	)	)	PUNCT
cana-5492	169	13	,	,	PUNCT
cana-5492	169	14	(	(	PUNCT
cana-5492	169	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	169	16	0.4	0.4	NUM
cana-5492	169	17	,	,	PUNCT
cana-5492	169	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	169	19	0.5	0.5	NUM
cana-5492	169	20	,	,	PUNCT
cana-5492	169	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	169	22	0.8	0.8	NUM
cana-5492	169	23	)	)	PUNCT
cana-5492	169	24	,	,	PUNCT
cana-5492	169	25	(	(	PUNCT
cana-5492	169	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	169	27	0.4	0.4	NUM
cana-5492	169	28	,	,	PUNCT
cana-5492	169	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	169	30	0.3	0.3	NUM
cana-5492	169	31	,	,	PUNCT
cana-5492	169	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	169	33	0.7	0.7	NUM
cana-5492	169	34	)	)	PUNCT
cana-5492	169	35	〉	〉	NOUN
cana-5492	169	36	here	here	ADV
cana-5492	169	37	,	,	PUNCT
cana-5492	169	38	we	we	PRON
cana-5492	169	39	have	have	VERB
cana-5492	169	40	τ	τ	X
cana-5492	169	41	=	=	SYM
cana-5492	169	42	{	{	PUNCT
cana-5492	169	43	0(𝕎	0(𝕎	INTJ
cana-5492	169	44	,	,	PUNCT
cana-5492	169	45	𝜚	𝜚	NOUN
cana-5492	169	46	)	)	PUNCT
cana-5492	169	47	,	,	PUNCT
cana-5492	169	48	1(𝕎	1(𝕎	INTJ
cana-5492	169	49	,	,	PUNCT
cana-5492	169	50	𝜚	𝜚	NOUN
cana-5492	169	51	)	)	PUNCT
cana-5492	169	52	,	,	PUNCT
cana-5492	169	53	(	(	PUNCT
cana-5492	169	54	𝑃1	𝑃1	NOUN
cana-5492	169	55	,	,	PUNCT
cana-5492	169	56	ϱ	ϱ	NOUN
cana-5492	169	57	)	)	PUNCT
cana-5492	169	58	,	,	PUNCT
cana-5492	169	59	(	(	PUNCT
cana-5492	169	60	𝑃2	𝑃2	PROPN
cana-5492	169	61	,	,	PUNCT
cana-5492	169	62	ϱ	ϱ	NOUN
cana-5492	169	63	)	)	PUNCT
cana-5492	169	64	}	}	PUNCT
cana-5492	169	65	and	and	CCONJ
cana-5492	169	66	𝜎	𝜎	X
cana-5492	169	67	=	=	X
cana-5492	169	68	{	{	PUNCT
cana-5492	169	69	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	169	70	)	)	PUNCT
cana-5492	169	71	,	,	PUNCT
cana-5492	169	72	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	169	73	)	)	PUNCT
cana-5492	169	74	,	,	PUNCT
cana-5492	169	75	(	(	PUNCT
cana-5492	169	76	𝑄1	𝑄1	NOUN
cana-5492	169	77	,	,	PUNCT
cana-5492	169	78	ϱ	ϱ	NOUN
cana-5492	169	79	)	)	PUNCT
cana-5492	169	80	}	}	PUNCT
cana-5492	169	81	.	.	PUNCT
cana-5492	170	1	let	let	VERB
cana-5492	170	2	𝒢	𝒢	PROPN
cana-5492	170	3	∶	∶	NOUN
cana-5492	170	4	(	(	PUNCT
cana-5492	170	5	𝕎	𝕎	PROPN
cana-5492	170	6	,	,	PUNCT
cana-5492	170	7	τ	τ	PROPN
cana-5492	170	8	,	,	PUNCT
cana-5492	170	9	ϱ	ϱ	PROPN
cana-5492	170	10	)	)	PUNCT
cana-5492	170	11	→	→	SYM
cana-5492	170	12	(	(	PUNCT
cana-5492	170	13	𝕋	𝕋	PROPN
cana-5492	170	14	,	,	PUNCT
cana-5492	170	15	σ	σ	PROPN
cana-5492	170	16	,	,	PUNCT
cana-5492	170	17	ϱ	ϱ	NOUN
cana-5492	170	18	)	)	PUNCT
cana-5492	170	19	be	be	VERB
cana-5492	170	20	an	an	DET
cana-5492	170	21	identity	identity	NOUN
cana-5492	170	22	mapping	mapping	NOUN
cana-5492	170	23	,	,	PUNCT
cana-5492	170	24	then	then	ADV
cana-5492	170	25	𝒢	𝒢	PROPN
cana-5492	170	26	is	be	AUX
cana-5492	170	27	a	a	DET
cana-5492	170	28	nscontraects	nscontraect	NOUN
cana-5492	170	29	but	but	CCONJ
cana-5492	170	30	not	not	PART
cana-5492	170	31	nscontrazcts	nscontrazct	VERB
cana-5492	170	32	,	,	PUNCT
cana-5492	170	33	because	because	SCONJ
cana-5492	170	34	the	the	DET
cana-5492	170	35	set	set	NOUN
cana-5492	170	36	𝒢−1(𝑄1	𝒢−1(𝑄1	ADP
cana-5492	170	37	,	,	PUNCT
cana-5492	170	38	ϱ	ϱ	NOUN
cana-5492	170	39	)	)	PUNCT
cana-5492	170	40	=	=	SYM
cana-5492	170	41	(	(	PUNCT
cana-5492	170	42	𝑃3	𝑃3	NOUN
cana-5492	170	43	,	,	PUNCT
cana-5492	170	44	ϱ	ϱ	NOUN
cana-5492	170	45	)	)	PUNCT
cana-5492	170	46	is	be	AUX
cana-5492	170	47	a	a	DET
cana-5492	170	48	nsecs	nsec	NOUN
cana-5492	170	49	but	but	CCONJ
cana-5492	170	50	not	not	PART
cana-5492	170	51	ns𝑍cs	ns𝑍cs	NOUN
cana-5492	170	52	.	.	PUNCT
cana-5492	171	1	theorem	theorem	VERB
cana-5492	171	2	3.1	3.1	NUM
cana-5492	171	3	a	a	DET
cana-5492	171	4	map	map	NOUN
cana-5492	171	5	𝒢	𝒢	PROPN
cana-5492	171	6	∶	∶	NOUN
cana-5492	171	7	(	(	PUNCT
cana-5492	171	8	𝕎	𝕎	PROPN
cana-5492	171	9	,	,	PUNCT
cana-5492	171	10	τ	τ	PROPN
cana-5492	171	11	,	,	PUNCT
cana-5492	171	12	ϱ	ϱ	PROPN
cana-5492	171	13	)	)	PUNCT
cana-5492	171	14	→	→	SYM
cana-5492	171	15	(	(	PUNCT
cana-5492	171	16	𝕋	𝕋	PROPN
cana-5492	171	17	,	,	PUNCT
cana-5492	171	18	σ	σ	PROPN
cana-5492	171	19	,	,	PUNCT
cana-5492	171	20	ϱ	ϱ	NOUN
cana-5492	171	21	)	)	PUNCT
cana-5492	171	22	is	be	AUX
cana-5492	171	23	nscontrazcts	nscontrazct	NOUN
cana-5492	171	24	iff	iff	VERB
cana-5492	171	25	the	the	DET
cana-5492	171	26	inverse	inverse	ADJ
cana-5492	171	27	image	image	NOUN
cana-5492	171	28	of	of	ADP
cana-5492	171	29	every	every	DET
cana-5492	171	30	nscs	nscs	NOUN
cana-5492	171	31	in	in	ADP
cana-5492	171	32	𝕋	𝕋	PROPN
cana-5492	171	33	is	be	AUX
cana-5492	171	34	nszos	nszos	ADV
cana-5492	171	35	in	in	ADP
cana-5492	171	36	𝕎.	𝕎.	PROPN
cana-5492	171	37	proof	proof	NOUN
cana-5492	171	38	.	.	PUNCT
cana-5492	172	1	consider	consider	VERB
cana-5492	172	2	a	a	DET
cana-5492	172	3	nscs	nscs	NOUN
cana-5492	172	4	(	(	PUNCT
cana-5492	172	5	𝑆	𝑆	PROPN
cana-5492	172	6	,	,	PUNCT
cana-5492	172	7	ϱ	ϱ	NOUN
cana-5492	172	8	)	)	PUNCT
cana-5492	172	9	in	in	ADP
cana-5492	172	10	𝕋.	𝕋.	NOUN
cana-5492	172	11	then	then	ADV
cana-5492	172	12	(	(	PUNCT
cana-5492	172	13	𝑆	𝑆	PROPN
cana-5492	172	14	,	,	PUNCT
cana-5492	172	15	ϱ)c	ϱ)c	X
cana-5492	172	16	is	be	AUX
cana-5492	172	17	nsos	nsos	ADJ
cana-5492	172	18	in	in	ADP
cana-5492	172	19	𝕋.	𝕋.	NOUN
cana-5492	172	20	as	as	SCONJ
cana-5492	172	21	𝒢	𝒢	PROPN
cana-5492	172	22	is	be	AUX
cana-5492	172	23	nscontrazcts	nscontrazct	NOUN
cana-5492	172	24	,	,	PUNCT
cana-5492	172	25	𝒢−1	𝒢−1	X
cana-5492	172	26	(	(	PUNCT
cana-5492	172	27	(	(	PUNCT
cana-5492	172	28	𝑆	𝑆	PROPN
cana-5492	172	29	,	,	PUNCT
cana-5492	172	30	ϱ)c	ϱ)c	ADJ
cana-5492	172	31	)	)	PUNCT
cana-5492	172	32	is	be	AUX
cana-5492	172	33	nszcs	nszcs	NOUN
cana-5492	172	34	in	in	ADP
cana-5492	172	35	𝕎.	𝕎.	PROPN
cana-5492	172	36	as	as	ADP
cana-5492	172	37	𝒢−1((𝑆	𝒢−1((𝑆	PROPN
cana-5492	172	38	,	,	PUNCT
cana-5492	172	39	ϱ)c	ϱ)c	ADJ
cana-5492	172	40	)	)	PUNCT
cana-5492	172	41	=	=	SYM
cana-5492	172	42	(	(	PUNCT
cana-5492	172	43	𝒢−1	𝒢−1	X
cana-5492	172	44	(	(	PUNCT
cana-5492	172	45	𝑆	𝑆	PROPN
cana-5492	172	46	,	,	PUNCT
cana-5492	172	47	ϱ))𝑐	ϱ))𝑐	NOUN
cana-5492	172	48	,	,	PUNCT
cana-5492	172	49	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	172	50	,	,	PUNCT
cana-5492	172	51	ϱ	ϱ	NOUN
cana-5492	172	52	)	)	PUNCT
cana-5492	172	53	is	be	AUX
cana-5492	172	54	a	a	DET
cana-5492	172	55	nszos	nszos	NOUN
cana-5492	172	56	in	in	ADP
cana-5492	172	57	𝕎.	𝕎.	NOUN
cana-5492	172	58	conversely	conversely	ADV
cana-5492	172	59	,	,	PUNCT
cana-5492	172	60	consider	consider	VERB
cana-5492	172	61	a	a	DET
cana-5492	172	62	nscs	nscs	NOUN
cana-5492	172	63	(	(	PUNCT
cana-5492	172	64	𝑆	𝑆	PROPN
cana-5492	172	65	,	,	PUNCT
cana-5492	172	66	ϱ	ϱ	NOUN
cana-5492	172	67	)	)	PUNCT
cana-5492	172	68	in	in	ADP
cana-5492	172	69	𝕋.	𝕋.	NOUN
cana-5492	172	70	so	so	CCONJ
cana-5492	172	71	(	(	PUNCT
cana-5492	172	72	𝑆	𝑆	PROPN
cana-5492	172	73	,	,	PUNCT
cana-5492	172	74	ϱ)c	ϱ)c	X
cana-5492	172	75	is	be	AUX
cana-5492	172	76	a	a	DET
cana-5492	172	77	nsos	nsos	NOUN
cana-5492	172	78	in	in	ADP
cana-5492	172	79	𝕋.	𝕋.	NOUN
cana-5492	172	80	by	by	ADP
cana-5492	172	81	hypothesis	hypothesis	NOUN
cana-5492	172	82	,	,	PUNCT
cana-5492	172	83	𝒢−1((𝑆	𝒢−1((𝑆	PROPN
cana-5492	172	84	,	,	PUNCT
cana-5492	172	85	ϱ)c	ϱ)c	ADJ
cana-5492	172	86	)	)	PUNCT
cana-5492	172	87	is	be	AUX
cana-5492	172	88	nszcs	nszcs	NOUN
cana-5492	172	89	in	in	ADP
cana-5492	172	90	𝕎.	𝕎.	PROPN
cana-5492	172	91	as	as	ADP
cana-5492	172	92	𝒢−1	𝒢−1	X
cana-5492	172	93	(	(	PUNCT
cana-5492	172	94	(	(	PUNCT
cana-5492	172	95	𝑆	𝑆	PROPN
cana-5492	172	96	,	,	PUNCT
cana-5492	172	97	ϱ)c	ϱ)c	ADJ
cana-5492	172	98	)	)	PUNCT
cana-5492	172	99	=	=	SYM
cana-5492	172	100	(	(	PUNCT
cana-5492	172	101	𝒢−1	𝒢−1	X
cana-5492	172	102	(	(	PUNCT
cana-5492	172	103	𝑆	𝑆	PROPN
cana-5492	172	104	,	,	PUNCT
cana-5492	172	105	ϱ))𝑐	ϱ))𝑐	NOUN
cana-5492	172	106	,	,	PUNCT
cana-5492	172	107	(	(	PUNCT
cana-5492	172	108	𝒢−1	𝒢−1	X
cana-5492	172	109	(	(	PUNCT
cana-5492	172	110	𝑆	𝑆	PROPN
cana-5492	172	111	,	,	PUNCT
cana-5492	172	112	ϱ))𝑐	ϱ))𝑐	PROPN
cana-5492	172	113	is	be	AUX
cana-5492	172	114	a	a	DET
cana-5492	172	115	nszcs	nszcs	NOUN
cana-5492	172	116	in	in	ADP
cana-5492	172	117	𝕎.	𝕎.	PROPN
cana-5492	172	118	hence	hence	ADV
cana-5492	172	119	,	,	PUNCT
cana-5492	172	120	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	172	121	,	,	PUNCT
cana-5492	172	122	ϱ	ϱ	NOUN
cana-5492	172	123	)	)	PUNCT
cana-5492	172	124	is	be	AUX
cana-5492	172	125	a	a	DET
cana-5492	172	126	nszos	nszos	NOUN
cana-5492	172	127	in	in	ADP
cana-5492	172	128	𝕎.	𝕎.	PROPN
cana-5492	172	129	hence	hence	ADV
cana-5492	172	130	𝒢	𝒢	PROPN
cana-5492	172	131	is	be	AUX
cana-5492	172	132	nscontrazcts	nscontrazct	NOUN
cana-5492	172	133	.	.	PUNCT
cana-5492	173	1	theorem	theorem	ADJ
cana-5492	173	2	3.2	3.2	NUM
cana-5492	173	3	let	let	VERB
cana-5492	173	4	𝒢	𝒢	PROPN
cana-5492	173	5	∶	∶	NOUN
cana-5492	173	6	(	(	PUNCT
cana-5492	173	7	𝕎	𝕎	PROPN
cana-5492	173	8	,	,	PUNCT
cana-5492	173	9	τ	τ	PROPN
cana-5492	173	10	,	,	PUNCT
cana-5492	173	11	ϱ	ϱ	PROPN
cana-5492	173	12	)	)	PUNCT
cana-5492	173	13	→	→	SYM
cana-5492	173	14	(	(	PUNCT
cana-5492	173	15	𝕋	𝕋	PROPN
cana-5492	173	16	,	,	PUNCT
cana-5492	173	17	σ	σ	PROPN
cana-5492	173	18	,	,	PUNCT
cana-5492	173	19	ϱ	ϱ	NOUN
cana-5492	173	20	)	)	PUNCT
cana-5492	173	21	be	be	VERB
cana-5492	173	22	a	a	DET
cana-5492	173	23	nscontrazcts	nscontrazct	NOUN
cana-5492	173	24	where	where	SCONJ
cana-5492	173	25	every	every	DET
cana-5492	173	26	nszos	nszos	NOUN
cana-5492	173	27	in	in	ADP
cana-5492	173	28	𝕎	𝕎	PROPN
cana-5492	173	29	is	be	AUX
cana-5492	173	30	a	a	DET
cana-5492	173	31	nsos	nsos	NOUN
cana-5492	173	32	in	in	ADP
cana-5492	173	33	𝕎	𝕎	PROPN
cana-5492	173	34	,	,	PUNCT
cana-5492	173	35	then	then	ADV
cana-5492	173	36	𝒢	𝒢	PROPN
cana-5492	173	37	is	be	AUX
cana-5492	173	38	a	a	DET
cana-5492	173	39	nscontracts	nscontract	NOUN
cana-5492	173	40	.	.	PUNCT
cana-5492	174	1	proof	proof	NOUN
cana-5492	174	2	.	.	PUNCT
cana-5492	175	1	let	let	VERB
cana-5492	175	2	(	(	PUNCT
cana-5492	175	3	𝑆	𝑆	PROPN
cana-5492	175	4	,	,	PUNCT
cana-5492	175	5	ϱ	ϱ	PROPN
cana-5492	175	6	)	)	PUNCT
cana-5492	175	7	be	be	VERB
cana-5492	175	8	a	a	DET
cana-5492	175	9	nsos	nsos	NOUN
cana-5492	175	10	in	in	ADP
cana-5492	175	11	𝕋.	𝕋.	NOUN
cana-5492	175	12	then	then	ADV
cana-5492	175	13	𝒢−1	𝒢−1	X
cana-5492	175	14	(	(	PUNCT
cana-5492	175	15	𝑆	𝑆	PROPN
cana-5492	175	16	,	,	PUNCT
cana-5492	175	17	ϱ	ϱ	PROPN
cana-5492	175	18	)	)	PUNCT
cana-5492	175	19	is	be	AUX
cana-5492	175	20	a	a	DET
cana-5492	175	21	nszcs	nszcs	NOUN
cana-5492	175	22	in	in	ADP
cana-5492	175	23	𝕎.	𝕎.	PROPN
cana-5492	175	24	by	by	ADP
cana-5492	175	25	hypothesis	hypothesis	NOUN
cana-5492	175	26	,	,	PUNCT
cana-5492	175	27	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	175	28	,	,	PUNCT
cana-5492	175	29	ϱ	ϱ	NOUN
cana-5492	175	30	)	)	PUNCT
cana-5492	175	31	is	be	AUX
cana-5492	175	32	a	a	DET
cana-5492	175	33	nsos	nsos	NOUN
cana-5492	175	34	in	in	ADP
cana-5492	175	35	𝕎	𝕎	PROPN
cana-5492	175	36	,	,	PUNCT
cana-5492	175	37	then	then	ADV
cana-5492	175	38	𝒢	𝒢	PROPN
cana-5492	175	39	is	be	AUX
cana-5492	175	40	a	a	DET
cana-5492	175	41	nscontrazcts	nscontrazct	NOUN
cana-5492	175	42	.	.	PUNCT
cana-5492	176	1	communications	communication	NOUN
cana-5492	176	2	on	on	ADP
cana-5492	176	3	applied	apply	VERB
cana-5492	176	4	nonlinear	nonlinear	ADJ
cana-5492	176	5	analysis	analysis	NOUN
cana-5492	176	6	issn	issn	NOUN
cana-5492	176	7	:	:	PUNCT
cana-5492	176	8	1074	1074	NUM
cana-5492	176	9	-	-	PUNCT
cana-5492	176	10	133x	133x	NUM
cana-5492	176	11	vol	vol	VERB
cana-5492	176	12	32	32	NUM
cana-5492	176	13	no	no	NOUN
cana-5492	176	14	.	.	PUNCT
cana-5492	177	1	10s	10	NOUN
cana-5492	177	2	(	(	PUNCT
cana-5492	177	3	2025	2025	NUM
cana-5492	177	4	)	)	PUNCT
cana-5492	177	5	2450	2450	NUM
cana-5492	177	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	177	7	theorem	theorem	VERB
cana-5492	177	8	3.3	3.3	NUM
cana-5492	177	9	let	let	VERB
cana-5492	177	10	𝒢	𝒢	PROPN
cana-5492	177	11	∶	∶	NOUN
cana-5492	177	12	(	(	PUNCT
cana-5492	177	13	𝕎	𝕎	PROPN
cana-5492	177	14	,	,	PUNCT
cana-5492	177	15	τ	τ	PROPN
cana-5492	177	16	,	,	PUNCT
cana-5492	177	17	ϱ	ϱ	PROPN
cana-5492	177	18	)	)	PUNCT
cana-5492	177	19	→	→	SYM
cana-5492	177	20	(	(	PUNCT
cana-5492	177	21	𝕋	𝕋	PROPN
cana-5492	177	22	,	,	PUNCT
cana-5492	177	23	σ	σ	PROPN
cana-5492	177	24	,	,	PUNCT
cana-5492	177	25	ϱ	ϱ	NOUN
cana-5492	177	26	)	)	PUNCT
cana-5492	177	27	be	be	VERB
cana-5492	177	28	a	a	DET
cana-5492	177	29	nscontrazcts	nscontrazct	NOUN
cana-5492	177	30	map	map	NOUN
cana-5492	177	31	and	and	CCONJ
cana-5492	177	32	ℋ	ℋ	NOUN
cana-5492	177	33	:	:	PUNCT
cana-5492	177	34	(	(	PUNCT
cana-5492	177	35	𝕋	𝕋	PROPN
cana-5492	177	36	,	,	PUNCT
cana-5492	177	37	σ	σ	PROPN
cana-5492	177	38	,	,	PUNCT
cana-5492	177	39	ϱ	ϱ	NOUN
cana-5492	177	40	)	)	PUNCT
cana-5492	177	41	→	→	SYM
cana-5492	177	42	(	(	PUNCT
cana-5492	177	43	𝕌	𝕌	PROPN
cana-5492	177	44	,	,	PUNCT
cana-5492	177	45	𝜌	𝜌	X
cana-5492	177	46	,	,	PUNCT
cana-5492	177	47	ϱ	ϱ	NOUN
cana-5492	177	48	)	)	PUNCT
cana-5492	177	49	be	be	VERB
cana-5492	177	50	an	an	DET
cana-5492	177	51	nscontracts	nscontract	NOUN
cana-5492	177	52	,	,	PUNCT
cana-5492	178	1	then	then	ADV
cana-5492	178	2	ℋ	ℋ	PROPN
cana-5492	178	3	∘	∘	PROPN
cana-5492	178	4	𝒢	𝒢	NOUN
cana-5492	178	5	:	:	PUNCT
cana-5492	178	6	(	(	PUNCT
cana-5492	178	7	𝕎	𝕎	PROPN
cana-5492	178	8	,	,	PUNCT
cana-5492	178	9	τ	τ	PROPN
cana-5492	178	10	,	,	PUNCT
cana-5492	178	11	ϱ	ϱ	PROPN
cana-5492	178	12	)	)	PUNCT
cana-5492	178	13	→	→	SYM
cana-5492	178	14	(	(	PUNCT
cana-5492	178	15	𝕌	𝕌	PROPN
cana-5492	178	16	,	,	PUNCT
cana-5492	178	17	𝜌	𝜌	X
cana-5492	178	18	,	,	PUNCT
cana-5492	178	19	ϱ	ϱ	NOUN
cana-5492	178	20	)	)	PUNCT
cana-5492	178	21	is	be	AUX
cana-5492	178	22	a	a	DET
cana-5492	178	23	nscontrazcts	nscontrazct	NOUN
cana-5492	178	24	map	map	NOUN
cana-5492	178	25	.	.	PUNCT
cana-5492	179	1	proof	proof	NOUN
cana-5492	179	2	.	.	PUNCT
cana-5492	180	1	let	let	VERB
cana-5492	180	2	(	(	PUNCT
cana-5492	180	3	𝑆	𝑆	PROPN
cana-5492	180	4	,	,	PUNCT
cana-5492	180	5	ϱ	ϱ	PROPN
cana-5492	180	6	)	)	PUNCT
cana-5492	180	7	be	be	VERB
cana-5492	180	8	a	a	DET
cana-5492	180	9	nsos	nsos	NOUN
cana-5492	180	10	in	in	ADP
cana-5492	180	11	𝕌.	𝕌.	PROPN
cana-5492	180	12	then	then	ADV
cana-5492	180	13	ℋ	ℋ	PROPN
cana-5492	180	14	−1(𝑆	−1(𝑆	NOUN
cana-5492	180	15	,	,	PUNCT
cana-5492	180	16	ϱ	ϱ	NOUN
cana-5492	180	17	)	)	PUNCT
cana-5492	180	18	is	be	AUX
cana-5492	180	19	a	a	DET
cana-5492	180	20	nszcs	nszcs	NOUN
cana-5492	180	21	in	in	ADP
cana-5492	180	22	𝕋	𝕋	PROPN
cana-5492	180	23	,	,	PUNCT
cana-5492	180	24	by	by	ADP
cana-5492	180	25	hypothesis	hypothesis	NOUN
cana-5492	180	26	,	,	PUNCT
cana-5492	180	27	since	since	SCONJ
cana-5492	180	28	𝒢	𝒢	PROPN
cana-5492	180	29	is	be	AUX
cana-5492	180	30	a	a	DET
cana-5492	180	31	nscontrazcts	nscontrazcts	ADJ
cana-5492	180	32	maps	map	NOUN
cana-5492	180	33	,	,	PUNCT
cana-5492	180	34	𝒢−1	𝒢−1	X
cana-5492	180	35	(	(	PUNCT
cana-5492	180	36	ℋ	ℋ	PROPN
cana-5492	180	37	−1(𝑆	−1(𝑆	NOUN
cana-5492	180	38	,	,	PUNCT
cana-5492	180	39	ϱ	ϱ	NOUN
cana-5492	180	40	)	)	PUNCT
cana-5492	180	41	)	)	PUNCT
cana-5492	180	42	is	be	AUX
cana-5492	180	43	a	a	DET
cana-5492	180	44	nszcs	nszcs	NOUN
cana-5492	180	45	in	in	ADP
cana-5492	180	46	𝕎.	𝕎.	PROPN
cana-5492	180	47	hence	hence	ADV
cana-5492	180	48	ℋ	ℋ	NOUN
cana-5492	180	49	∘	∘	NOUN
cana-5492	180	50	𝒢	𝒢	NOUN
cana-5492	180	51	is	be	AUX
cana-5492	180	52	a	a	DET
cana-5492	180	53	nscontrazcts	nscontrazct	NOUN
cana-5492	180	54	map	map	NOUN
cana-5492	180	55	.	.	PUNCT
cana-5492	181	1	theorem	theorem	VERB
cana-5492	181	2	3.4	3.4	NUM
cana-5492	181	3	let	let	VERB
cana-5492	181	4	𝒢	𝒢	NOUN
cana-5492	181	5	:	:	PUNCT
cana-5492	181	6	(	(	PUNCT
cana-5492	181	7	𝕎	𝕎	PROPN
cana-5492	181	8	,	,	PUNCT
cana-5492	181	9	τ	τ	PROPN
cana-5492	181	10	,	,	PUNCT
cana-5492	181	11	ϱ	ϱ	PROPN
cana-5492	181	12	)	)	PUNCT
cana-5492	181	13	→	→	SYM
cana-5492	181	14	(	(	PUNCT
cana-5492	181	15	𝕋	𝕋	PROPN
cana-5492	181	16	,	,	PUNCT
cana-5492	181	17	σ	σ	PROPN
cana-5492	181	18	,	,	PUNCT
cana-5492	181	19	ϱ	ϱ	NOUN
cana-5492	181	20	)	)	PUNCT
cana-5492	181	21	be	be	VERB
cana-5492	181	22	a	a	DET
cana-5492	181	23	nscontrazcts	nscontrazct	NOUN
cana-5492	181	24	map	map	NOUN
cana-5492	181	25	.	.	PUNCT
cana-5492	182	1	then	then	ADV
cana-5492	182	2	the	the	DET
cana-5492	182	3	following	follow	VERB
cana-5492	182	4	conditions	condition	NOUN
cana-5492	182	5	are	be	AUX
cana-5492	182	6	hold	hold	ADJ
cana-5492	182	7	.	.	PUNCT
cana-5492	183	1	(	(	PUNCT
cana-5492	183	2	i	i	NOUN
cana-5492	183	3	)	)	PUNCT
cana-5492	183	4	𝒢(nszcl(𝑆	𝒢(nszcl(𝑆	PROPN
cana-5492	183	5	,	,	PUNCT
cana-5492	183	6	ϱ	ϱ	NOUN
cana-5492	183	7	)	)	PUNCT
cana-5492	183	8	)	)	PUNCT
cana-5492	183	9	⊇	⊇	PROPN
cana-5492	183	10	nsint(𝒢(𝑆	nsint(𝒢(𝑆	PROPN
cana-5492	183	11	,	,	PUNCT
cana-5492	183	12	ϱ	ϱ	NOUN
cana-5492	183	13	)	)	PUNCT
cana-5492	183	14	)	)	PUNCT
cana-5492	183	15	,	,	PUNCT
cana-5492	183	16	for	for	ADP
cana-5492	183	17	all	all	DET
cana-5492	183	18	nss	ns	NOUN
cana-5492	183	19	(	(	PUNCT
cana-5492	183	20	𝑆	𝑆	PROPN
cana-5492	183	21	,	,	PUNCT
cana-5492	183	22	ϱ	ϱ	NOUN
cana-5492	183	23	)	)	PUNCT
cana-5492	183	24	in	in	ADP
cana-5492	183	25	𝕎.	𝕎.	PROPN
cana-5492	183	26	(	(	PUNCT
cana-5492	183	27	ii	ii	NOUN
cana-5492	183	28	)	)	PUNCT
cana-5492	183	29	nszcl(𝒢−1	nszcl(𝒢−1	NUM
cana-5492	183	30	(	(	PUNCT
cana-5492	183	31	𝐷	𝐷	PROPN
cana-5492	183	32	,	,	PUNCT
cana-5492	183	33	ϱ	ϱ	NOUN
cana-5492	183	34	)	)	PUNCT
cana-5492	183	35	)	)	PUNCT
cana-5492	183	36	⊇	⊇	PROPN
cana-5492	183	37	𝒢−1(nsint(𝐷	𝒢−1(nsint(𝐷	PROPN
cana-5492	183	38	,	,	PUNCT
cana-5492	183	39	ϱ	ϱ	NOUN
cana-5492	183	40	)	)	PUNCT
cana-5492	183	41	)	)	PUNCT
cana-5492	183	42	,	,	PUNCT
cana-5492	183	43	for	for	ADP
cana-5492	183	44	all	all	DET
cana-5492	183	45	nss	ns	NOUN
cana-5492	183	46	in	in	ADP
cana-5492	183	47	𝕋.	𝕋.	NOUN
cana-5492	183	48	proof	proof	NOUN
cana-5492	183	49	.	.	PUNCT
cana-5492	184	1	(	(	PUNCT
cana-5492	184	2	i	i	NOUN
cana-5492	184	3	)	)	PUNCT
cana-5492	184	4	as	as	ADP
cana-5492	184	5	nszcl(𝒢(𝑆	nszcl(𝒢(𝑆	PROPN
cana-5492	184	6	,	,	PUNCT
cana-5492	184	7	ϱ	ϱ	NOUN
cana-5492	184	8	)	)	PUNCT
cana-5492	184	9	)	)	PUNCT
cana-5492	184	10	is	be	AUX
cana-5492	184	11	a	a	DET
cana-5492	184	12	nszcs	nszcs	NOUN
cana-5492	184	13	in	in	ADP
cana-5492	184	14	𝕋	𝕋	PROPN
cana-5492	184	15	and	and	CCONJ
cana-5492	184	16	𝒢	𝒢	PROPN
cana-5492	184	17	is	be	AUX
cana-5492	184	18	nscontrazcts	nscontrazct	NOUN
cana-5492	184	19	,	,	PUNCT
cana-5492	184	20	then	then	ADV
cana-5492	184	21	𝒢−1(nszcl(𝒢(𝑆	𝒢−1(nszcl(𝒢(𝑆	PROPN
cana-5492	184	22	,	,	PUNCT
cana-5492	184	23	ϱ	ϱ	NOUN
cana-5492	184	24	)	)	PUNCT
cana-5492	184	25	)	)	PUNCT
cana-5492	184	26	is	be	AUX
cana-5492	184	27	nszos	nszos	ADV
cana-5492	184	28	in	in	ADP
cana-5492	184	29	𝕎.	𝕎.	PROPN
cana-5492	184	30	now	now	ADV
cana-5492	184	31	,	,	PUNCT
cana-5492	184	32	as	as	ADP
cana-5492	184	33	(	(	PUNCT
cana-5492	184	34	𝑆	𝑆	PROPN
cana-5492	184	35	,	,	PUNCT
cana-5492	184	36	ϱ	ϱ	PROPN
cana-5492	184	37	)	)	PUNCT
cana-5492	184	38	⊇	⊇	PROPN
cana-5492	184	39	𝒢−1(nsint(𝒢(𝑆	𝒢−1(nsint(𝒢(𝑆	PROPN
cana-5492	184	40	,	,	PUNCT
cana-5492	184	41	ϱ	ϱ	NOUN
cana-5492	184	42	)	)	PUNCT
cana-5492	184	43	)	)	PUNCT
cana-5492	184	44	)	)	PUNCT
cana-5492	184	45	.	.	PUNCT
cana-5492	185	1	nszcl(𝑆	nszcl(𝑆	PROPN
cana-5492	185	2	,	,	PUNCT
cana-5492	185	3	ϱ	ϱ	PROPN
cana-5492	185	4	)	)	PUNCT
cana-5492	185	5	⊇	⊇	PROPN
cana-5492	185	6	𝒢−1(nsint(𝒢(𝑆	𝒢−1(nsint(𝒢(𝑆	PROPN
cana-5492	185	7	,	,	PUNCT
cana-5492	185	8	ϱ	ϱ	NOUN
cana-5492	185	9	)	)	PUNCT
cana-5492	185	10	)	)	PUNCT
cana-5492	185	11	)	)	PUNCT
cana-5492	185	12	.	.	PUNCT
cana-5492	186	1	therefore	therefore	ADV
cana-5492	186	2	,	,	PUNCT
cana-5492	186	3	𝒢(nszcl(𝑆	𝒢(nszcl(𝑆	PROPN
cana-5492	186	4	,	,	PUNCT
cana-5492	186	5	ϱ	ϱ	NOUN
cana-5492	186	6	)	)	PUNCT
cana-5492	186	7	)	)	PUNCT
cana-5492	186	8	⊇	⊇	PROPN
cana-5492	186	9	nsint(𝒢(𝑆	nsint(𝒢(𝑆	PROPN
cana-5492	186	10	,	,	PUNCT
cana-5492	186	11	ϱ	ϱ	NOUN
cana-5492	186	12	)	)	PUNCT
cana-5492	186	13	)	)	PUNCT
cana-5492	186	14	.	.	PUNCT
cana-5492	187	1	(	(	PUNCT
cana-5492	187	2	ii	ii	NOUN
cana-5492	187	3	)	)	PUNCT
cana-5492	187	4	by	by	ADP
cana-5492	187	5	replacing	replace	VERB
cana-5492	187	6	(	(	PUNCT
cana-5492	187	7	𝑆	𝑆	PROPN
cana-5492	187	8	,	,	PUNCT
cana-5492	187	9	ϱ	ϱ	NOUN
cana-5492	187	10	)	)	PUNCT
cana-5492	187	11	by	by	ADP
cana-5492	187	12	(	(	PUNCT
cana-5492	187	13	𝐷	𝐷	PROPN
cana-5492	187	14	,	,	PUNCT
cana-5492	187	15	ϱ	ϱ	NOUN
cana-5492	187	16	)	)	PUNCT
cana-5492	187	17	in	in	ADP
cana-5492	187	18	(	(	PUNCT
cana-5492	187	19	i	i	NOUN
cana-5492	187	20	)	)	PUNCT
cana-5492	187	21	,	,	PUNCT
cana-5492	187	22	we	we	PRON
cana-5492	187	23	obtain	obtain	VERB
cana-5492	187	24	𝒢(nszcl(𝒢−1(𝐷	𝒢(nszcl(𝒢−1(𝐷	NUM
cana-5492	187	25	,	,	PUNCT
cana-5492	187	26	ϱ	ϱ	NOUN
cana-5492	187	27	)	)	PUNCT
cana-5492	187	28	)	)	PUNCT
cana-5492	187	29	)	)	PUNCT
cana-5492	188	1	⊇	⊇	NOUN
cana-5492	188	2	nsint(𝒢	nsint(𝒢	X
cana-5492	188	3	(	(	PUNCT
cana-5492	188	4	𝒢−1(𝐷	𝒢−1(𝐷	ADJ
cana-5492	188	5	,	,	PUNCT
cana-5492	188	6	ϱ	ϱ	NOUN
cana-5492	188	7	)	)	PUNCT
cana-5492	188	8	)	)	PUNCT
cana-5492	188	9	)	)	PUNCT
cana-5492	188	10	⊇	⊇	PROPN
cana-5492	188	11	nsint(𝐷	nsint(𝐷	PROPN
cana-5492	188	12	,	,	PUNCT
cana-5492	188	13	ϱ	ϱ	NOUN
cana-5492	188	14	)	)	PUNCT
cana-5492	188	15	.	.	PUNCT
cana-5492	189	1	hence	hence	ADV
cana-5492	189	2	nszcl(𝒢−1(𝐷	nszcl(𝒢−1(𝐷	X
cana-5492	189	3	,	,	PUNCT
cana-5492	189	4	ϱ	ϱ	NOUN
cana-5492	189	5	)	)	PUNCT
cana-5492	189	6	)	)	PUNCT
cana-5492	190	1	⊇	⊇	PROPN
cana-5492	190	2	𝒢−1	𝒢−1	X
cana-5492	190	3	(	(	PUNCT
cana-5492	190	4	nsint(𝐷	nsint(𝐷	ADJ
cana-5492	190	5	,	,	PUNCT
cana-5492	190	6	ϱ	ϱ	NOUN
cana-5492	190	7	)	)	PUNCT
cana-5492	190	8	)	)	PUNCT
cana-5492	190	9	.	.	PUNCT
cana-5492	191	1	4	4	X
cana-5492	191	2	.	.	NUM
cana-5492	191	3	neutrosophic	neutrosophic	ADJ
cana-5492	191	4	soft	soft	ADJ
cana-5492	191	5	contra	contra	PROPN
cana-5492	191	6	z	z	PROPN
cana-5492	191	7	–	–	PUNCT
cana-5492	191	8	irresolute	irresolute	ADJ
cana-5492	191	9	maps	map	NOUN
cana-5492	191	10	definition	definition	NOUN
cana-5492	191	11	4.1	4.1	NUM
cana-5492	191	12	a	a	DET
cana-5492	191	13	map	map	NOUN
cana-5492	192	1	𝒢	𝒢	NOUN
cana-5492	192	2	:	:	PUNCT
cana-5492	192	3	(	(	PUNCT
cana-5492	192	4	𝕎	𝕎	PROPN
cana-5492	192	5	,	,	PUNCT
cana-5492	192	6	τ	τ	PROPN
cana-5492	192	7	,	,	PUNCT
cana-5492	192	8	ϱ	ϱ	PROPN
cana-5492	192	9	)	)	PUNCT
cana-5492	192	10	→	→	SYM
cana-5492	192	11	(	(	PUNCT
cana-5492	192	12	𝕋	𝕋	PROPN
cana-5492	192	13	,	,	PUNCT
cana-5492	192	14	σ	σ	PROPN
cana-5492	192	15	,	,	PUNCT
cana-5492	192	16	ϱ	ϱ	NOUN
cana-5492	192	17	)	)	PUNCT
cana-5492	192	18	is	be	AUX
cana-5492	192	19	known	know	VERB
cana-5492	192	20	as	as	ADP
cana-5492	192	21	a	a	DET
cana-5492	192	22	neutrosophic	neutrosophic	ADJ
cana-5492	192	23	soft	soft	ADJ
cana-5492	192	24	contra	contra	PROPN
cana-5492	192	25	z	z	PROPN
cana-5492	192	26	-	-	PUNCT
cana-5492	192	27	irresolute	irresolute	ADJ
cana-5492	192	28	(	(	PUNCT
cana-5492	192	29	briefly	briefly	ADV
cana-5492	192	30	,	,	PUNCT
cana-5492	192	31	nscontraz	nscontraz	NOUN
cana-5492	192	32	-	-	PUNCT
cana-5492	192	33	irr	irr	NOUN
cana-5492	192	34	)	)	PUNCT
cana-5492	192	35	map	map	NOUN
cana-5492	192	36	if	if	SCONJ
cana-5492	192	37	𝒢−1(𝑆	𝒢−1(𝑆	NOUN
cana-5492	192	38	,	,	PUNCT
cana-5492	192	39	ϱ	ϱ	NOUN
cana-5492	192	40	)	)	PUNCT
cana-5492	192	41	is	be	AUX
cana-5492	192	42	a	a	DET
cana-5492	192	43	nszcs	nszcs	NOUN
cana-5492	192	44	in	in	ADP
cana-5492	192	45	(	(	PUNCT
cana-5492	192	46	𝕎	𝕎	PROPN
cana-5492	192	47	,	,	PUNCT
cana-5492	192	48	τ	τ	PROPN
cana-5492	192	49	,	,	PUNCT
cana-5492	192	50	ϱ	ϱ	NOUN
cana-5492	192	51	)	)	PUNCT
cana-5492	192	52	for	for	ADP
cana-5492	192	53	each	each	DET
cana-5492	192	54	nszos	nszos	PROPN
cana-5492	192	55	(	(	PUNCT
cana-5492	192	56	𝑆	𝑆	PROPN
cana-5492	192	57	,	,	PUNCT
cana-5492	192	58	ϱ	ϱ	NOUN
cana-5492	192	59	)	)	PUNCT
cana-5492	192	60	in	in	ADP
cana-5492	192	61	(	(	PUNCT
cana-5492	192	62	𝕋	𝕋	PROPN
cana-5492	192	63	,	,	PUNCT
cana-5492	192	64	σ	σ	PROPN
cana-5492	192	65	,	,	PUNCT
cana-5492	192	66	ϱ	ϱ	NOUN
cana-5492	192	67	)	)	PUNCT
cana-5492	192	68	.	.	PUNCT
cana-5492	193	1	theorem	theorem	VERB
cana-5492	193	2	4.1	4.1	NUM
cana-5492	193	3	let	let	VERB
cana-5492	193	4	𝒢	𝒢	NOUN
cana-5492	193	5	:	:	PUNCT
cana-5492	193	6	(	(	PUNCT
cana-5492	193	7	𝕎	𝕎	PROPN
cana-5492	193	8	,	,	PUNCT
cana-5492	193	9	τ	τ	PROPN
cana-5492	193	10	,	,	PUNCT
cana-5492	193	11	ϱ	ϱ	PROPN
cana-5492	193	12	)	)	PUNCT
cana-5492	193	13	→	→	SYM
cana-5492	193	14	(	(	PUNCT
cana-5492	193	15	𝕋	𝕋	PROPN
cana-5492	193	16	,	,	PUNCT
cana-5492	193	17	σ	σ	PROPN
cana-5492	193	18	,	,	PUNCT
cana-5492	193	19	ϱ	ϱ	NOUN
cana-5492	193	20	)	)	PUNCT
cana-5492	193	21	be	be	VERB
cana-5492	193	22	a	a	DET
cana-5492	193	23	nscontraz	nscontraz	NOUN
cana-5492	193	24	-	-	PUNCT
cana-5492	193	25	irr	irr	NOUN
cana-5492	193	26	.	.	PUNCT
cana-5492	194	1	then	then	ADV
cana-5492	194	2	𝒢	𝒢	PROPN
cana-5492	194	3	is	be	AUX
cana-5492	194	4	a	a	DET
cana-5492	194	5	nscontrazcts	nscontrazct	NOUN
cana-5492	194	6	map	map	NOUN
cana-5492	194	7	.	.	PUNCT
cana-5492	195	1	but	but	CCONJ
cana-5492	195	2	not	not	PART
cana-5492	195	3	conversely	conversely	ADV
cana-5492	195	4	.	.	PUNCT
cana-5492	196	1	proof	proof	NOUN
cana-5492	196	2	.	.	PUNCT
cana-5492	197	1	assume	assume	VERB
cana-5492	197	2	𝒢	𝒢	PROPN
cana-5492	197	3	is	be	AUX
cana-5492	197	4	a	a	DET
cana-5492	197	5	nscontraz	nscontraz	NOUN
cana-5492	197	6	-	-	PUNCT
cana-5492	197	7	irr	irr	NOUN
cana-5492	197	8	map	map	NOUN
cana-5492	197	9	.	.	PUNCT
cana-5492	198	1	consider	consider	VERB
cana-5492	198	2	a	a	DET
cana-5492	198	3	nsos	nsos	ADJ
cana-5492	198	4	(	(	PUNCT
cana-5492	198	5	𝑆	𝑆	PROPN
cana-5492	198	6	,	,	PUNCT
cana-5492	198	7	ϱ	ϱ	NOUN
cana-5492	198	8	)	)	PUNCT
cana-5492	198	9	in	in	ADP
cana-5492	198	10	𝕋.	𝕋.	NOUN
cana-5492	198	11	as	as	SCONJ
cana-5492	198	12	each	each	DET
cana-5492	198	13	nsos	nsos	NOUN
cana-5492	198	14	is	be	AUX
cana-5492	198	15	a	a	DET
cana-5492	198	16	nszos	nszos	NOUN
cana-5492	198	17	,	,	PUNCT
cana-5492	198	18	(	(	PUNCT
cana-5492	198	19	𝑆	𝑆	PROPN
cana-5492	198	20	,	,	PUNCT
cana-5492	198	21	ϱ	ϱ	PROPN
cana-5492	198	22	)	)	PUNCT
cana-5492	198	23	is	be	AUX
cana-5492	198	24	a	a	DET
cana-5492	198	25	nszos	nszos	NOUN
cana-5492	198	26	in	in	ADP
cana-5492	198	27	𝕋.	𝕋.	NOUN
cana-5492	198	28	by	by	ADP
cana-5492	198	29	hypothesis	hypothesis	NOUN
cana-5492	198	30	,	,	PUNCT
cana-5492	198	31	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	198	32	,	,	PUNCT
cana-5492	198	33	ϱ	ϱ	NOUN
cana-5492	198	34	)	)	PUNCT
cana-5492	198	35	is	be	AUX
cana-5492	198	36	a	a	DET
cana-5492	198	37	nszcs	nszcs	NOUN
cana-5492	198	38	in	in	ADP
cana-5492	198	39	𝕎.	𝕎.	PROPN
cana-5492	198	40	hence	hence	ADV
cana-5492	198	41	𝒢	𝒢	PROPN
cana-5492	198	42	is	be	AUX
cana-5492	198	43	a	a	DET
cana-5492	198	44	nscontrazcts	nscontrazct	NOUN
cana-5492	198	45	map	map	NOUN
cana-5492	198	46	.	.	PUNCT
cana-5492	199	1	example	example	NOUN
cana-5492	199	2	4.1	4.1	NUM
cana-5492	199	3	let	let	VERB
cana-5492	199	4	𝕎	𝕎	PROPN
cana-5492	199	5	=	=	SYM
cana-5492	199	6	{	{	PUNCT
cana-5492	199	7	𝑤1	𝑤1	PROPN
cana-5492	199	8	,	,	PUNCT
cana-5492	199	9	𝑤2	𝑤2	NOUN
cana-5492	199	10	,	,	PUNCT
cana-5492	199	11	𝑤3	𝑤3	NOUN
cana-5492	199	12	}	}	PUNCT
cana-5492	199	13	=	=	SYM
cana-5492	199	14	{	{	PUNCT
cana-5492	199	15	𝑡1	𝑡1	NOUN
cana-5492	199	16	,	,	PUNCT
cana-5492	199	17	𝑡2	𝑡2	PROPN
cana-5492	199	18	,	,	PUNCT
cana-5492	199	19	𝑡3	𝑡3	PROPN
cana-5492	199	20	}	}	PUNCT
cana-5492	199	21	=	=	SYM
cana-5492	199	22	𝕋	𝕋	PROPN
cana-5492	199	23	,	,	PUNCT
cana-5492	199	24	ϱ	ϱ	NOUN
cana-5492	199	25	=	=	SYM
cana-5492	199	26	{	{	PUNCT
cana-5492	199	27	𝑒1	𝑒1	NOUN
cana-5492	199	28	,	,	PUNCT
cana-5492	199	29	𝑒2	𝑒2	NOUN
cana-5492	199	30	}	}	PUNCT
cana-5492	199	31	and	and	CCONJ
cana-5492	199	32	ns	ns	NUM
cana-5492	199	33	sets	set	NOUN
cana-5492	199	34	(	(	PUNCT
cana-5492	199	35	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	199	36	)	)	PUNCT
cana-5492	199	37	,	,	PUNCT
cana-5492	199	38	(	(	PUNCT
cana-5492	199	39	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	199	40	)	)	PUNCT
cana-5492	199	41	,	,	PUNCT
cana-5492	199	42	(	(	PUNCT
cana-5492	199	43	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	199	44	)	)	PUNCT
cana-5492	199	45	,	,	PUNCT
cana-5492	199	46	and	and	CCONJ
cana-5492	199	47	(	(	PUNCT
cana-5492	199	48	𝑆4	𝑆4	PROPN
cana-5492	199	49	,	,	PUNCT
cana-5492	199	50	ϱ	ϱ	NOUN
cana-5492	199	51	)	)	PUNCT
cana-5492	199	52	in	in	ADP
cana-5492	199	53	𝕎	𝕎	PROPN
cana-5492	199	54	and	and	CCONJ
cana-5492	199	55	(	(	PUNCT
cana-5492	199	56	𝑉1,ϱ	𝑉1,ϱ	PROPN
cana-5492	199	57	)	)	PUNCT
cana-5492	199	58	and	and	CCONJ
cana-5492	199	59	(	(	PUNCT
cana-5492	199	60	𝑉2,ϱ	𝑉2,ϱ	NUM
cana-5492	199	61	)	)	PUNCT
cana-5492	199	62	in	in	ADP
cana-5492	199	63	𝕋	𝕋	NOUN
cana-5492	199	64	are	be	AUX
cana-5492	199	65	defined	define	VERB
cana-5492	199	66	as	as	ADP
cana-5492	199	67	(	(	PUNCT
cana-5492	199	68	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	199	69	)	)	PUNCT
cana-5492	199	70	=	=	PUNCT
cana-5492	200	1	〈	〈	PROPN
cana-5492	200	2	(	(	PUNCT
cana-5492	200	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	200	4	,	,	PUNCT
cana-5492	200	5	0.4	0.4	NUM
cana-5492	200	6	,	,	PUNCT
cana-5492	200	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	200	8	0.5	0.5	NUM
cana-5492	200	9	,	,	PUNCT
cana-5492	200	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	200	11	0.6	0.6	NUM
cana-5492	200	12	)	)	PUNCT
cana-5492	200	13	,	,	PUNCT
cana-5492	200	14	(	(	PUNCT
cana-5492	200	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	200	16	0.5	0.5	NUM
cana-5492	200	17	,	,	PUNCT
cana-5492	200	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	200	19	0.4	0.4	NUM
cana-5492	200	20	,	,	PUNCT
cana-5492	200	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	200	22	0.8	0.8	NUM
cana-5492	200	23	)	)	PUNCT
cana-5492	200	24	,	,	PUNCT
cana-5492	200	25	(	(	PUNCT
cana-5492	200	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	200	27	0.4	0.4	NUM
cana-5492	200	28	,	,	PUNCT
cana-5492	200	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	200	30	0.5	0.5	NUM
cana-5492	200	31	,	,	PUNCT
cana-5492	200	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	200	33	0.7	0.7	NUM
cana-5492	200	34	)	)	PUNCT
cana-5492	200	35	〉	〉	NOUN
cana-5492	200	36	(	(	PUNCT
cana-5492	200	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	200	38	)	)	PUNCT
cana-5492	200	39	=	=	PUNCT
cana-5492	200	40	〈	〈	PROPN
cana-5492	200	41	(	(	PUNCT
cana-5492	200	42	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	200	43	,	,	PUNCT
cana-5492	200	44	0.2	0.2	NUM
cana-5492	200	45	,	,	PUNCT
cana-5492	200	46	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	200	47	0.4	0.4	NUM
cana-5492	200	48	,	,	PUNCT
cana-5492	200	49	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	200	50	0.6	0.6	NUM
cana-5492	200	51	)	)	PUNCT
cana-5492	200	52	,	,	PUNCT
cana-5492	200	53	(	(	PUNCT
cana-5492	200	54	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	200	55	0.2	0.2	NUM
cana-5492	200	56	,	,	PUNCT
cana-5492	200	57	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	200	58	0.5	0.5	NUM
cana-5492	200	59	,	,	PUNCT
cana-5492	200	60	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	200	61	0.7	0.7	NUM
cana-5492	200	62	)	)	PUNCT
cana-5492	200	63	,	,	PUNCT
cana-5492	200	64	(	(	PUNCT
cana-5492	200	65	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	200	66	0.2	0.2	NUM
cana-5492	200	67	,	,	PUNCT
cana-5492	200	68	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	200	69	0.5	0.5	NUM
cana-5492	200	70	,	,	PUNCT
cana-5492	200	71	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	200	72	0.8	0.8	NUM
cana-5492	200	73	)	)	PUNCT
cana-5492	200	74	〉	〉	NOUN
cana-5492	200	75	(	(	PUNCT
cana-5492	200	76	𝑆2	𝑆2	PROPN
cana-5492	200	77	,	,	PUNCT
cana-5492	200	78	𝑒1	𝑒1	NOUN
cana-5492	200	79	)	)	PUNCT
cana-5492	200	80	=	=	PUNCT
cana-5492	200	81	〈	〈	PROPN
cana-5492	200	82	(	(	PUNCT
cana-5492	200	83	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	200	84	,	,	PUNCT
cana-5492	200	85	0.5	0.5	NUM
cana-5492	200	86	,	,	PUNCT
cana-5492	200	87	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	200	88	0.5	0.5	NUM
cana-5492	200	89	,	,	PUNCT
cana-5492	200	90	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	200	91	0.6	0.6	NUM
cana-5492	200	92	)	)	PUNCT
cana-5492	200	93	,	,	PUNCT
cana-5492	200	94	(	(	PUNCT
cana-5492	200	95	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	200	96	0.5	0.5	NUM
cana-5492	200	97	,	,	PUNCT
cana-5492	200	98	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	200	99	0.5	0.5	NUM
cana-5492	200	100	,	,	PUNCT
cana-5492	200	101	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	200	102	0.5	0.5	NUM
cana-5492	200	103	)	)	PUNCT
cana-5492	200	104	,	,	PUNCT
cana-5492	200	105	(	(	PUNCT
cana-5492	200	106	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	200	107	0.6	0.6	NUM
cana-5492	200	108	,	,	PUNCT
cana-5492	200	109	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	200	110	0.5	0.5	NUM
cana-5492	200	111	,	,	PUNCT
cana-5492	200	112	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	200	113	0.6	0.6	NUM
cana-5492	200	114	)	)	PUNCT
cana-5492	200	115	〉	〉	NOUN
cana-5492	200	116	(	(	PUNCT
cana-5492	200	117	𝑆2	𝑆2	PROPN
cana-5492	200	118	,	,	PUNCT
cana-5492	200	119	𝑒2	𝑒2	PROPN
cana-5492	200	120	)	)	PUNCT
cana-5492	200	121	=	=	PUNCT
cana-5492	201	1	〈	〈	PROPN
cana-5492	201	2	(	(	PUNCT
cana-5492	201	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	201	4	,	,	PUNCT
cana-5492	201	5	0.4	0.4	NUM
cana-5492	201	6	,	,	PUNCT
cana-5492	201	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	201	8	0.6	0.6	NUM
cana-5492	201	9	,	,	PUNCT
cana-5492	201	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	201	11	0.6	0.6	NUM
cana-5492	201	12	)	)	PUNCT
cana-5492	201	13	,	,	PUNCT
cana-5492	201	14	(	(	PUNCT
cana-5492	201	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	201	16	0.3	0.3	NUM
cana-5492	201	17	,	,	PUNCT
cana-5492	201	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	201	19	0.5	0.5	NUM
cana-5492	201	20	,	,	PUNCT
cana-5492	201	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	201	22	0.7	0.7	NUM
cana-5492	201	23	)	)	PUNCT
cana-5492	201	24	,	,	PUNCT
cana-5492	201	25	(	(	PUNCT
cana-5492	201	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	201	27	0.3	0.3	NUM
cana-5492	201	28	,	,	PUNCT
cana-5492	201	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	201	30	0.7	0.7	NUM
cana-5492	201	31	,	,	PUNCT
cana-5492	201	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	201	33	0.4	0.4	NUM
cana-5492	201	34	)	)	PUNCT
cana-5492	201	35	〉	〉	NOUN
cana-5492	201	36	(	(	PUNCT
cana-5492	201	37	𝑆3	𝑆3	PROPN
cana-5492	201	38	,	,	PUNCT
cana-5492	201	39	𝑒1	𝑒1	NOUN
cana-5492	201	40	)	)	PUNCT
cana-5492	201	41	=	=	PUNCT
cana-5492	202	1	〈	〈	PROPN
cana-5492	202	2	(	(	PUNCT
cana-5492	202	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	202	4	,	,	PUNCT
cana-5492	202	5	0.3	0.3	NUM
cana-5492	202	6	,	,	PUNCT
cana-5492	202	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	202	8	0.4	0.4	NUM
cana-5492	202	9	,	,	PUNCT
cana-5492	202	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	202	11	0.7	0.7	NUM
cana-5492	202	12	)	)	PUNCT
cana-5492	202	13	,	,	PUNCT
cana-5492	202	14	(	(	PUNCT
cana-5492	202	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	202	16	0.1	0.1	NUM
cana-5492	202	17	,	,	PUNCT
cana-5492	202	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	202	19	0.3	0.3	NUM
cana-5492	202	20	,	,	PUNCT
cana-5492	202	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	202	22	0.8	0.8	NUM
cana-5492	202	23	)	)	PUNCT
cana-5492	202	24	,	,	PUNCT
cana-5492	202	25	(	(	PUNCT
cana-5492	202	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	202	27	0.2	0.2	NUM
cana-5492	202	28	,	,	PUNCT
cana-5492	202	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	202	30	0.3	0.3	NUM
cana-5492	202	31	,	,	PUNCT
cana-5492	202	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	202	33	0.8	0.8	NUM
cana-5492	202	34	)	)	PUNCT
cana-5492	202	35	〉	〉	NOUN
cana-5492	202	36	(	(	PUNCT
cana-5492	202	37	𝑆3	𝑆3	PROPN
cana-5492	202	38	,	,	PUNCT
cana-5492	202	39	𝑒2	𝑒2	PROPN
cana-5492	202	40	)	)	PUNCT
cana-5492	202	41	=	=	PUNCT
cana-5492	203	1	〈	〈	PROPN
cana-5492	203	2	(	(	PUNCT
cana-5492	203	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	203	4	,	,	PUNCT
cana-5492	203	5	0.1	0.1	NUM
cana-5492	203	6	,	,	PUNCT
cana-5492	203	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	203	8	0.3	0.3	NUM
cana-5492	203	9	,	,	PUNCT
cana-5492	203	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	203	11	0.7	0.7	NUM
cana-5492	203	12	)	)	PUNCT
cana-5492	203	13	,	,	PUNCT
cana-5492	203	14	(	(	PUNCT
cana-5492	203	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	203	16	0.1	0.1	NUM
cana-5492	203	17	,	,	PUNCT
cana-5492	203	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	203	19	0.5	0.5	NUM
cana-5492	203	20	,	,	PUNCT
cana-5492	203	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	203	22	0.8	0.8	NUM
cana-5492	203	23	)	)	PUNCT
cana-5492	203	24	,	,	PUNCT
cana-5492	203	25	(	(	PUNCT
cana-5492	203	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	203	27	0.1	0.1	NUM
cana-5492	203	28	,	,	PUNCT
cana-5492	203	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	203	30	0.5	0.5	NUM
cana-5492	203	31	,	,	PUNCT
cana-5492	203	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	203	33	0.9	0.9	NUM
cana-5492	203	34	)	)	PUNCT
cana-5492	203	35	〉	〉	NOUN
cana-5492	203	36	communications	communication	NOUN
cana-5492	203	37	on	on	ADP
cana-5492	203	38	applied	apply	VERB
cana-5492	203	39	nonlinear	nonlinear	ADJ
cana-5492	203	40	analysis	analysis	NOUN
cana-5492	203	41	issn	issn	NOUN
cana-5492	203	42	:	:	PUNCT
cana-5492	203	43	1074	1074	NUM
cana-5492	203	44	-	-	PUNCT
cana-5492	203	45	133x	133x	NUM
cana-5492	203	46	vol	vol	VERB
cana-5492	203	47	32	32	NUM
cana-5492	203	48	no	no	NOUN
cana-5492	203	49	.	.	PUNCT
cana-5492	204	1	10s	10	NOUN
cana-5492	204	2	(	(	PUNCT
cana-5492	204	3	2025	2025	NUM
cana-5492	204	4	)	)	PUNCT
cana-5492	204	5	2451	2451	NUM
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cana-5492	204	7	(	(	PUNCT
cana-5492	204	8	𝑆4	𝑆4	PROPN
cana-5492	204	9	,	,	PUNCT
cana-5492	204	10	𝑒1	𝑒1	NOUN
cana-5492	204	11	)	)	PUNCT
cana-5492	204	12	=	=	SYM
cana-5492	205	1	〈	〈	PROPN
cana-5492	205	2	(	(	PUNCT
cana-5492	205	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	205	4	,	,	PUNCT
cana-5492	205	5	0.6	0.6	NUM
cana-5492	205	6	,	,	PUNCT
cana-5492	205	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	205	8	0.5	0.5	NUM
cana-5492	205	9	,	,	PUNCT
cana-5492	205	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	205	11	0.5	0.5	NUM
cana-5492	205	12	)	)	PUNCT
cana-5492	205	13	,	,	PUNCT
cana-5492	205	14	(	(	PUNCT
cana-5492	205	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	205	16	0.5	0.5	NUM
cana-5492	205	17	,	,	PUNCT
cana-5492	205	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	205	19	0.5	0.5	NUM
cana-5492	205	20	,	,	PUNCT
cana-5492	205	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	205	22	0.5	0.5	NUM
cana-5492	205	23	)	)	PUNCT
cana-5492	205	24	,	,	PUNCT
cana-5492	205	25	(	(	PUNCT
cana-5492	205	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	205	27	0.6	0.6	NUM
cana-5492	205	28	,	,	PUNCT
cana-5492	205	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	205	30	0.5	0.5	NUM
cana-5492	205	31	,	,	PUNCT
cana-5492	205	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	205	33	0.6	0.6	NUM
cana-5492	205	34	)	)	PUNCT
cana-5492	205	35	〉	〉	NOUN
cana-5492	205	36	(	(	PUNCT
cana-5492	205	37	𝑆4	𝑆4	PROPN
cana-5492	205	38	,	,	PUNCT
cana-5492	205	39	𝑒2	𝑒2	PROPN
cana-5492	205	40	)	)	PUNCT
cana-5492	205	41	=	=	PUNCT
cana-5492	206	1	〈	〈	PROPN
cana-5492	206	2	(	(	PUNCT
cana-5492	206	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	206	4	,	,	PUNCT
cana-5492	206	5	0.6	0.6	NUM
cana-5492	206	6	,	,	PUNCT
cana-5492	206	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	206	8	0.4	0.4	NUM
cana-5492	206	9	,	,	PUNCT
cana-5492	206	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	206	11	0.4	0.4	NUM
cana-5492	206	12	)	)	PUNCT
cana-5492	206	13	,	,	PUNCT
cana-5492	206	14	(	(	PUNCT
cana-5492	206	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	206	16	0.7	0.7	NUM
cana-5492	206	17	,	,	PUNCT
cana-5492	206	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	206	19	0.5	0.5	NUM
cana-5492	206	20	,	,	PUNCT
cana-5492	206	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	206	22	0.3	0.3	NUM
cana-5492	206	23	)	)	PUNCT
cana-5492	206	24	,	,	PUNCT
cana-5492	206	25	(	(	PUNCT
cana-5492	206	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	206	27	0.4	0.4	NUM
cana-5492	206	28	,	,	PUNCT
cana-5492	206	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	206	30	0.3	0.3	NUM
cana-5492	206	31	,	,	PUNCT
cana-5492	206	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	206	33	0.3	0.3	NUM
cana-5492	206	34	)	)	PUNCT
cana-5492	206	35	〉	〉	NOUN
cana-5492	206	36	(	(	PUNCT
cana-5492	206	37	𝑉1	𝑉1	NOUN
cana-5492	206	38	,	,	PUNCT
cana-5492	206	39	𝑒1	𝑒1	NOUN
cana-5492	206	40	)	)	PUNCT
cana-5492	206	41	=	=	SYM
cana-5492	207	1	〈	〈	PROPN
cana-5492	207	2	(	(	PUNCT
cana-5492	207	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	207	4	,	,	PUNCT
cana-5492	207	5	0.4	0.4	NUM
cana-5492	207	6	,	,	PUNCT
cana-5492	207	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	207	8	0.5	0.5	NUM
cana-5492	207	9	,	,	PUNCT
cana-5492	207	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	207	11	0.6	0.6	NUM
cana-5492	207	12	)	)	PUNCT
cana-5492	207	13	,	,	PUNCT
cana-5492	207	14	(	(	PUNCT
cana-5492	207	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	207	16	0.5	0.5	NUM
cana-5492	207	17	,	,	PUNCT
cana-5492	207	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	207	19	0.4	0.4	NUM
cana-5492	207	20	,	,	PUNCT
cana-5492	207	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	207	22	0.8	0.8	NUM
cana-5492	207	23	)	)	PUNCT
cana-5492	207	24	,	,	PUNCT
cana-5492	207	25	(	(	PUNCT
cana-5492	207	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	207	27	0.4	0.4	NUM
cana-5492	207	28	,	,	PUNCT
cana-5492	207	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	207	30	0.5	0.5	NUM
cana-5492	207	31	,	,	PUNCT
cana-5492	207	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	207	33	0.7	0.7	NUM
cana-5492	207	34	)	)	PUNCT
cana-5492	207	35	〉	〉	NOUN
cana-5492	207	36	(	(	PUNCT
cana-5492	207	37	𝑉1	𝑉1	PROPN
cana-5492	207	38	,	,	PUNCT
cana-5492	207	39	𝑒2	𝑒2	NOUN
cana-5492	207	40	)	)	PUNCT
cana-5492	207	41	=	=	PUNCT
cana-5492	208	1	〈	〈	PROPN
cana-5492	208	2	(	(	PUNCT
cana-5492	208	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	208	4	,	,	PUNCT
cana-5492	208	5	0.2	0.2	NUM
cana-5492	208	6	,	,	PUNCT
cana-5492	208	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	208	8	0.4	0.4	NUM
cana-5492	208	9	,	,	PUNCT
cana-5492	208	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	208	11	0.6	0.6	NUM
cana-5492	208	12	)	)	PUNCT
cana-5492	208	13	,	,	PUNCT
cana-5492	208	14	(	(	PUNCT
cana-5492	208	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	208	16	0.2	0.2	NUM
cana-5492	208	17	,	,	PUNCT
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cana-5492	208	19	0.5	0.5	NUM
cana-5492	208	20	,	,	PUNCT
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cana-5492	208	22	0.7	0.7	NUM
cana-5492	208	23	)	)	PUNCT
cana-5492	208	24	,	,	PUNCT
cana-5492	208	25	(	(	PUNCT
cana-5492	208	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	208	27	0.2	0.2	NUM
cana-5492	208	28	,	,	PUNCT
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cana-5492	208	30	0.5	0.5	NUM
cana-5492	208	31	,	,	PUNCT
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cana-5492	208	33	0.8	0.8	NUM
cana-5492	208	34	)	)	PUNCT
cana-5492	208	35	〉	〉	NOUN
cana-5492	208	36	(	(	PUNCT
cana-5492	208	37	𝑉2	𝑉2	PROPN
cana-5492	208	38	,	,	PUNCT
cana-5492	208	39	𝑒1	𝑒1	NOUN
cana-5492	208	40	)	)	PUNCT
cana-5492	208	41	=	=	SYM
cana-5492	209	1	〈	〈	PROPN
cana-5492	209	2	(	(	PUNCT
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cana-5492	209	4	,	,	PUNCT
cana-5492	209	5	0.6	0.6	NUM
cana-5492	209	6	,	,	PUNCT
cana-5492	209	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	209	8	0.5	0.5	NUM
cana-5492	209	9	,	,	PUNCT
cana-5492	209	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	209	11	0.5	0.5	NUM
cana-5492	209	12	)	)	PUNCT
cana-5492	209	13	,	,	PUNCT
cana-5492	209	14	(	(	PUNCT
cana-5492	209	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	209	16	0.5	0.5	NUM
cana-5492	209	17	,	,	PUNCT
cana-5492	209	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	209	19	0.5	0.5	NUM
cana-5492	209	20	,	,	PUNCT
cana-5492	209	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	209	22	0.5	0.5	NUM
cana-5492	209	23	)	)	PUNCT
cana-5492	209	24	,	,	PUNCT
cana-5492	209	25	(	(	PUNCT
cana-5492	209	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	209	27	0.6	0.6	NUM
cana-5492	209	28	,	,	PUNCT
cana-5492	209	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	209	30	0.5	0.5	NUM
cana-5492	209	31	,	,	PUNCT
cana-5492	209	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	209	33	0.6	0.6	NUM
cana-5492	209	34	)	)	PUNCT
cana-5492	209	35	〉	〉	NOUN
cana-5492	209	36	(	(	PUNCT
cana-5492	209	37	𝑉2	𝑉2	PROPN
cana-5492	209	38	,	,	PUNCT
cana-5492	209	39	𝑒2	𝑒2	PROPN
cana-5492	209	40	)	)	PUNCT
cana-5492	209	41	=	=	PUNCT
cana-5492	210	1	〈	〈	PROPN
cana-5492	210	2	(	(	PUNCT
cana-5492	210	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	210	4	,	,	PUNCT
cana-5492	210	5	0.6	0.6	NUM
cana-5492	210	6	,	,	PUNCT
cana-5492	210	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	210	8	0.4	0.4	NUM
cana-5492	210	9	,	,	PUNCT
cana-5492	210	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	210	11	0.4	0.4	NUM
cana-5492	210	12	)	)	PUNCT
cana-5492	210	13	,	,	PUNCT
cana-5492	210	14	(	(	PUNCT
cana-5492	210	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	210	16	0.7	0.7	NUM
cana-5492	210	17	,	,	PUNCT
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cana-5492	210	19	0.5	0.5	NUM
cana-5492	210	20	,	,	PUNCT
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cana-5492	210	22	0.3	0.3	NUM
cana-5492	210	23	)	)	PUNCT
cana-5492	210	24	,	,	PUNCT
cana-5492	210	25	(	(	PUNCT
cana-5492	210	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	210	27	0.4	0.4	NUM
cana-5492	210	28	,	,	PUNCT
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cana-5492	210	30	0.3	0.3	NUM
cana-5492	210	31	,	,	PUNCT
cana-5492	210	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	210	33	0.3	0.3	NUM
cana-5492	210	34	)	)	PUNCT
cana-5492	210	35	〉	〉	NOUN
cana-5492	210	36	here	here	ADV
cana-5492	210	37	,	,	PUNCT
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cana-5492	210	39	have	have	VERB
cana-5492	210	40	τ	τ	X
cana-5492	210	41	=	=	SYM
cana-5492	210	42	{	{	PUNCT
cana-5492	210	43	0(𝕎	0(𝕎	INTJ
cana-5492	210	44	,	,	PUNCT
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cana-5492	210	46	)	)	PUNCT
cana-5492	210	47	,	,	PUNCT
cana-5492	210	48	1(𝕎	1(𝕎	INTJ
cana-5492	210	49	,	,	PUNCT
cana-5492	210	50	𝜚	𝜚	NOUN
cana-5492	210	51	)	)	PUNCT
cana-5492	210	52	,	,	PUNCT
cana-5492	210	53	(	(	PUNCT
cana-5492	210	54	𝑆1	𝑆1	PROPN
cana-5492	210	55	,	,	PUNCT
cana-5492	210	56	ϱ	ϱ	NOUN
cana-5492	210	57	)	)	PUNCT
cana-5492	210	58	,	,	PUNCT
cana-5492	210	59	(	(	PUNCT
cana-5492	210	60	𝑆2	𝑆2	PROPN
cana-5492	210	61	,	,	PUNCT
cana-5492	210	62	ϱ	ϱ	NOUN
cana-5492	210	63	)	)	PUNCT
cana-5492	210	64	,	,	PUNCT
cana-5492	210	65	(	(	PUNCT
cana-5492	210	66	𝑆3	𝑆3	PROPN
cana-5492	210	67	,	,	PUNCT
cana-5492	210	68	ϱ	ϱ	NOUN
cana-5492	210	69	)	)	PUNCT
cana-5492	210	70	}	}	PUNCT
cana-5492	210	71	and	and	CCONJ
cana-5492	210	72	𝜎	𝜎	X
cana-5492	210	73	=	=	X
cana-5492	210	74	{	{	PUNCT
cana-5492	210	75	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	210	76	)	)	PUNCT
cana-5492	210	77	,	,	PUNCT
cana-5492	210	78	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	210	79	)	)	PUNCT
cana-5492	210	80	,	,	PUNCT
cana-5492	210	81	(	(	PUNCT
cana-5492	210	82	𝑉1	𝑉1	NOUN
cana-5492	210	83	,	,	PUNCT
cana-5492	210	84	ϱ	ϱ	NOUN
cana-5492	210	85	)	)	PUNCT
cana-5492	210	86	}	}	PUNCT
cana-5492	210	87	.	.	PUNCT
cana-5492	211	1	let	let	VERB
cana-5492	211	2	𝒢	𝒢	PROPN
cana-5492	211	3	∶	∶	NOUN
cana-5492	211	4	(	(	PUNCT
cana-5492	211	5	𝕎	𝕎	PROPN
cana-5492	211	6	,	,	PUNCT
cana-5492	211	7	τ	τ	PROPN
cana-5492	211	8	,	,	PUNCT
cana-5492	211	9	ϱ	ϱ	PROPN
cana-5492	211	10	)	)	PUNCT
cana-5492	211	11	→	→	SYM
cana-5492	211	12	(	(	PUNCT
cana-5492	211	13	𝕋	𝕋	PROPN
cana-5492	211	14	,	,	PUNCT
cana-5492	211	15	σ	σ	PROPN
cana-5492	211	16	,	,	PUNCT
cana-5492	211	17	ϱ	ϱ	NOUN
cana-5492	211	18	)	)	PUNCT
cana-5492	211	19	be	be	VERB
cana-5492	211	20	an	an	DET
cana-5492	211	21	identity	identity	NOUN
cana-5492	211	22	mapping	mapping	NOUN
cana-5492	211	23	,	,	PUNCT
cana-5492	211	24	then	then	ADV
cana-5492	211	25	𝒢	𝒢	PROPN
cana-5492	211	26	is	be	AUX
cana-5492	211	27	a	a	DET
cana-5492	211	28	nscontrazcts	nscontrazct	NOUN
cana-5492	211	29	but	but	CCONJ
cana-5492	211	30	not	not	PART
cana-5492	211	31	nscontraz	nscontraz	NOUN
cana-5492	211	32	-	-	PUNCT
cana-5492	211	33	irr	irr	NOUN
cana-5492	211	34	,	,	PUNCT
cana-5492	211	35	because	because	SCONJ
cana-5492	211	36	the	the	DET
cana-5492	211	37	set	set	NOUN
cana-5492	211	38	(	(	PUNCT
cana-5492	211	39	v2	v2	PROPN
cana-5492	211	40	,	,	PUNCT
cana-5492	211	41	ϱ	ϱ	NOUN
cana-5492	211	42	)	)	PUNCT
cana-5492	211	43	is	be	AUX
cana-5492	211	44	a	a	DET
cana-5492	211	45	nszcs	nszcs	NOUN
cana-5492	211	46	in	in	ADP
cana-5492	211	47	𝕋	𝕋	PROPN
cana-5492	211	48	but	but	CCONJ
cana-5492	211	49	𝒢−1(v2	𝒢−1(v2	PROPN
cana-5492	211	50	,	,	PUNCT
cana-5492	211	51	ϱ	ϱ	NOUN
cana-5492	211	52	)	)	PUNCT
cana-5492	212	1	=	=	SYM
cana-5492	212	2	(	(	PUNCT
cana-5492	212	3	𝑆4	𝑆4	PROPN
cana-5492	212	4	,	,	PUNCT
cana-5492	212	5	ϱ	ϱ	NOUN
cana-5492	212	6	)	)	PUNCT
cana-5492	212	7	is	be	AUX
cana-5492	212	8	not	not	PART
cana-5492	212	9	nszos	nszos	ADV
cana-5492	212	10	in	in	ADP
cana-5492	212	11	𝕎.	𝕎.	PROPN
cana-5492	212	12	theorem	theorem	VERB
cana-5492	212	13	4.2	4.2	NUM
cana-5492	212	14	let	let	VERB
cana-5492	212	15	𝒢	𝒢	PROPN
cana-5492	212	16	∶	∶	NOUN
cana-5492	212	17	(	(	PUNCT
cana-5492	212	18	𝕎	𝕎	PROPN
cana-5492	212	19	,	,	PUNCT
cana-5492	212	20	τ	τ	PROPN
cana-5492	212	21	,	,	PUNCT
cana-5492	212	22	ϱ	ϱ	PROPN
cana-5492	212	23	)	)	PUNCT
cana-5492	212	24	→	→	SYM
cana-5492	212	25	(	(	PUNCT
cana-5492	212	26	𝕋	𝕋	PROPN
cana-5492	212	27	,	,	PUNCT
cana-5492	212	28	σ	σ	PROPN
cana-5492	212	29	,	,	PUNCT
cana-5492	212	30	ϱ	ϱ	NOUN
cana-5492	212	31	)	)	PUNCT
cana-5492	212	32	be	be	VERB
cana-5492	212	33	a	a	DET
cana-5492	212	34	nscontraz	nscontraz	NOUN
cana-5492	212	35	-	-	PUNCT
cana-5492	212	36	irr	irr	NOUN
cana-5492	212	37	.	.	PUNCT
cana-5492	213	1	if	if	SCONJ
cana-5492	213	2	𝕎	𝕎	PROPN
cana-5492	213	3	is	be	AUX
cana-5492	213	4	a	a	DET
cana-5492	213	5	nsz𝑈1	nsz𝑈1	NUM
cana-5492	213	6	2	2	NUM
cana-5492	213	7	–	–	PUNCT
cana-5492	213	8	space	space	NOUN
cana-5492	213	9	,	,	PUNCT
cana-5492	213	10	then	then	ADV
cana-5492	213	11	𝒢	𝒢	PROPN
cana-5492	213	12	is	be	AUX
cana-5492	213	13	a	a	DET
cana-5492	213	14	nscontracts	nscontract	NOUN
cana-5492	213	15	map	map	NOUN
cana-5492	213	16	.	.	PUNCT
cana-5492	214	1	proof	proof	NOUN
cana-5492	214	2	.	.	PUNCT
cana-5492	215	1	consider	consider	VERB
cana-5492	215	2	a	a	DET
cana-5492	215	3	nsos	nsos	ADJ
cana-5492	215	4	(	(	PUNCT
cana-5492	215	5	𝑆	𝑆	PROPN
cana-5492	215	6	,	,	PUNCT
cana-5492	215	7	ϱ	ϱ	NOUN
cana-5492	215	8	)	)	PUNCT
cana-5492	215	9	in	in	ADP
cana-5492	215	10	𝕋.	𝕋.	NOUN
cana-5492	215	11	then	then	ADV
cana-5492	215	12	(	(	PUNCT
cana-5492	215	13	𝑆	𝑆	PROPN
cana-5492	215	14	,	,	PUNCT
cana-5492	215	15	ϱ	ϱ	PROPN
cana-5492	215	16	)	)	PUNCT
cana-5492	215	17	is	be	AUX
cana-5492	215	18	a	a	DET
cana-5492	215	19	nszos	nszos	NOUN
cana-5492	215	20	in	in	ADP
cana-5492	215	21	𝕋.	𝕋.	NOUN
cana-5492	215	22	hence	hence	ADV
cana-5492	215	23	𝒢−1(𝑆	𝒢−1(𝑆	VERB
cana-5492	215	24	,	,	PUNCT
cana-5492	215	25	ϱ	ϱ	NOUN
cana-5492	215	26	)	)	PUNCT
cana-5492	215	27	is	be	AUX
cana-5492	215	28	a	a	DET
cana-5492	215	29	nszcs	nszcs	NOUN
cana-5492	215	30	in	in	ADP
cana-5492	215	31	𝕎.	𝕎.	PROPN
cana-5492	215	32	as	as	SCONJ
cana-5492	215	33	𝕎	𝕎	PROPN
cana-5492	215	34	is	be	AUX
cana-5492	215	35	a	a	DET
cana-5492	215	36	nsz𝑈1	nsz𝑈1	NUM
cana-5492	215	37	2	2	NUM
cana-5492	215	38	–	–	PUNCT
cana-5492	215	39	space	space	NOUN
cana-5492	215	40	,	,	PUNCT
cana-5492	215	41	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	215	42	,	,	PUNCT
cana-5492	215	43	ϱ	ϱ	NOUN
cana-5492	215	44	)	)	PUNCT
cana-5492	215	45	is	be	AUX
cana-5492	215	46	a	a	DET
cana-5492	215	47	nscs	nscs	NOUN
cana-5492	215	48	in	in	ADP
cana-5492	215	49	𝕎.	𝕎.	PROPN
cana-5492	215	50	thus	thus	ADV
cana-5492	215	51	𝒢	𝒢	PROPN
cana-5492	215	52	is	be	AUX
cana-5492	215	53	a	a	DET
cana-5492	215	54	nscontracts	nscontract	NOUN
cana-5492	215	55	map	map	NOUN
cana-5492	215	56	.	.	PUNCT
cana-5492	216	1	theorem	theorem	VERB
cana-5492	216	2	4	4	NUM
cana-5492	216	3	.	.	NOUN
cana-5492	216	4	3	3	NUM
cana-5492	216	5	let	let	VERB
cana-5492	216	6	𝒢	𝒢	PROPN
cana-5492	216	7	∶	∶	NOUN
cana-5492	216	8	(	(	PUNCT
cana-5492	216	9	𝕎	𝕎	PROPN
cana-5492	216	10	,	,	PUNCT
cana-5492	216	11	τ	τ	PROPN
cana-5492	216	12	,	,	PUNCT
cana-5492	216	13	ϱ	ϱ	PROPN
cana-5492	216	14	)	)	PUNCT
cana-5492	216	15	→	→	SYM
cana-5492	216	16	(	(	PUNCT
cana-5492	216	17	𝕋	𝕋	PROPN
cana-5492	216	18	,	,	PUNCT
cana-5492	216	19	σ	σ	PROPN
cana-5492	216	20	,	,	PUNCT
cana-5492	216	21	ϱ	ϱ	NOUN
cana-5492	216	22	)	)	PUNCT
cana-5492	216	23	be	be	VERB
cana-5492	216	24	a	a	DET
cana-5492	216	25	nscontraz	nscontraz	NOUN
cana-5492	216	26	-	-	PUNCT
cana-5492	216	27	irr	irr	NOUN
cana-5492	216	28	and	and	CCONJ
cana-5492	216	29	ℋ	ℋ	PROPN
cana-5492	216	30	:	:	PUNCT
cana-5492	216	31	(	(	PUNCT
cana-5492	216	32	𝕋	𝕋	PROPN
cana-5492	216	33	,	,	PUNCT
cana-5492	216	34	σ	σ	PROPN
cana-5492	216	35	,	,	PUNCT
cana-5492	216	36	ϱ	ϱ	NOUN
cana-5492	216	37	)	)	PUNCT
cana-5492	216	38	→	→	SYM
cana-5492	216	39	(	(	PUNCT
cana-5492	216	40	𝕌	𝕌	PROPN
cana-5492	216	41	,	,	PUNCT
cana-5492	216	42	𝜌	𝜌	X
cana-5492	216	43	,	,	PUNCT
cana-5492	216	44	ϱ	ϱ	NOUN
cana-5492	216	45	)	)	PUNCT
cana-5492	216	46	be	be	VERB
cana-5492	216	47	a	a	DET
cana-5492	216	48	nszcts	nszct	NOUN
cana-5492	216	49	maps	map	NOUN
cana-5492	216	50	.	.	PUNCT
cana-5492	217	1	then	then	ADV
cana-5492	217	2	ℋ	ℋ	PROPN
cana-5492	217	3	∘	∘	PROPN
cana-5492	217	4	𝒢	𝒢	NOUN
cana-5492	217	5	:	:	PUNCT
cana-5492	217	6	(	(	PUNCT
cana-5492	217	7	𝕎	𝕎	PROPN
cana-5492	217	8	,	,	PUNCT
cana-5492	217	9	τ	τ	PROPN
cana-5492	217	10	,	,	PUNCT
cana-5492	217	11	ϱ	ϱ	PROPN
cana-5492	217	12	)	)	PUNCT
cana-5492	217	13	→	→	SYM
cana-5492	217	14	(	(	PUNCT
cana-5492	217	15	𝕌	𝕌	PROPN
cana-5492	217	16	,	,	PUNCT
cana-5492	217	17	𝜌	𝜌	X
cana-5492	217	18	,	,	PUNCT
cana-5492	217	19	ϱ	ϱ	NOUN
cana-5492	217	20	)	)	PUNCT
cana-5492	217	21	is	be	AUX
cana-5492	217	22	a	a	DET
cana-5492	217	23	nscontrazcts	nscontrazct	NOUN
cana-5492	217	24	map	map	NOUN
cana-5492	217	25	.	.	PUNCT
cana-5492	218	1	proof	proof	NOUN
cana-5492	218	2	.	.	PUNCT
cana-5492	219	1	consider	consider	VERB
cana-5492	219	2	a	a	DET
cana-5492	219	3	nsos	nsos	ADJ
cana-5492	219	4	(	(	PUNCT
cana-5492	219	5	𝑆	𝑆	PROPN
cana-5492	219	6	,	,	PUNCT
cana-5492	219	7	ϱ	ϱ	NOUN
cana-5492	219	8	)	)	PUNCT
cana-5492	219	9	in	in	ADP
cana-5492	219	10	𝕌.	𝕌.	PROPN
cana-5492	219	11	then	then	ADV
cana-5492	219	12	ℋ	ℋ	PROPN
cana-5492	219	13	−1(𝑆	−1(𝑆	NOUN
cana-5492	219	14	,	,	PUNCT
cana-5492	219	15	ϱ	ϱ	NOUN
cana-5492	219	16	)	)	PUNCT
cana-5492	219	17	is	be	AUX
cana-5492	219	18	a	a	DET
cana-5492	219	19	nszos	nszos	NOUN
cana-5492	219	20	in	in	ADP
cana-5492	219	21	𝕋.	𝕋.	NOUN
cana-5492	219	22	as	as	SCONJ
cana-5492	219	23	𝒢	𝒢	PROPN
cana-5492	219	24	is	be	AUX
cana-5492	219	25	a	a	DET
cana-5492	219	26	nscontraz	nscontraz	NOUN
cana-5492	219	27	-	-	PUNCT
cana-5492	219	28	irr	irr	NOUN
cana-5492	219	29	,	,	PUNCT
cana-5492	219	30	𝒢−1	𝒢−1	X
cana-5492	219	31	(	(	PUNCT
cana-5492	219	32	ℋ	ℋ	PROPN
cana-5492	219	33	−1(𝑆	−1(𝑆	NOUN
cana-5492	219	34	,	,	PUNCT
cana-5492	219	35	ϱ	ϱ	NOUN
cana-5492	219	36	)	)	PUNCT
cana-5492	219	37	)	)	PUNCT
cana-5492	219	38	is	be	AUX
cana-5492	219	39	a	a	DET
cana-5492	219	40	nszcs	nszcs	NOUN
cana-5492	219	41	in	in	ADP
cana-5492	219	42	𝕎.	𝕎.	PROPN
cana-5492	219	43	hence	hence	ADV
cana-5492	219	44	ℋ	ℋ	NOUN
cana-5492	219	45	∘	∘	NOUN
cana-5492	219	46	𝒢	𝒢	NOUN
cana-5492	219	47	is	be	AUX
cana-5492	219	48	a	a	DET
cana-5492	219	49	nscontrazcts	nscontrazct	NOUN
cana-5492	219	50	map	map	NOUN
cana-5492	219	51	.	.	PUNCT
cana-5492	220	1	theorem	theorem	VERB
cana-5492	220	2	4.4	4.4	NUM
cana-5492	220	3	let	let	VERB
cana-5492	220	4	𝒢	𝒢	PROPN
cana-5492	220	5	∶	∶	NOUN
cana-5492	220	6	(	(	PUNCT
cana-5492	220	7	𝕎	𝕎	PROPN
cana-5492	220	8	,	,	PUNCT
cana-5492	220	9	τ	τ	PROPN
cana-5492	220	10	,	,	PUNCT
cana-5492	220	11	ϱ	ϱ	PROPN
cana-5492	220	12	)	)	PUNCT
cana-5492	220	13	→	→	SYM
cana-5492	220	14	(	(	PUNCT
cana-5492	220	15	𝕋	𝕋	PROPN
cana-5492	220	16	,	,	PUNCT
cana-5492	220	17	σ	σ	PROPN
cana-5492	220	18	,	,	PUNCT
cana-5492	220	19	ϱ	ϱ	NOUN
cana-5492	220	20	)	)	PUNCT
cana-5492	220	21	and	and	CCONJ
cana-5492	220	22	ℋ	ℋ	PROPN
cana-5492	220	23	:	:	PUNCT
cana-5492	220	24	(	(	PUNCT
cana-5492	220	25	𝕋	𝕋	PROPN
cana-5492	220	26	,	,	PUNCT
cana-5492	220	27	σ	σ	PROPN
cana-5492	220	28	,	,	PUNCT
cana-5492	220	29	ϱ	ϱ	NOUN
cana-5492	220	30	)	)	PUNCT
cana-5492	220	31	→	→	SYM
cana-5492	220	32	(	(	PUNCT
cana-5492	220	33	𝕌	𝕌	PROPN
cana-5492	220	34	,	,	PUNCT
cana-5492	220	35	𝜌	𝜌	X
cana-5492	220	36	,	,	PUNCT
cana-5492	220	37	ϱ	ϱ	NOUN
cana-5492	220	38	)	)	PUNCT
cana-5492	220	39	be	be	VERB
cana-5492	220	40	mappings	mapping	NOUN
cana-5492	220	41	.	.	PUNCT
cana-5492	221	1	then	then	ADV
cana-5492	221	2	ℋ	ℋ	PROPN
cana-5492	221	3	∘	∘	PROPN
cana-5492	221	4	𝒢	𝒢	NOUN
cana-5492	221	5	:	:	PUNCT
cana-5492	221	6	(	(	PUNCT
cana-5492	221	7	𝕎	𝕎	PROPN
cana-5492	221	8	,	,	PUNCT
cana-5492	221	9	τ	τ	PROPN
cana-5492	221	10	,	,	PUNCT
cana-5492	221	11	ϱ	ϱ	PROPN
cana-5492	221	12	)	)	PUNCT
cana-5492	221	13	→	→	SYM
cana-5492	221	14	(	(	PUNCT
cana-5492	221	15	𝕌	𝕌	PROPN
cana-5492	221	16	,	,	PUNCT
cana-5492	221	17	𝜌	𝜌	X
cana-5492	221	18	,	,	PUNCT
cana-5492	221	19	ϱ	ϱ	NOUN
cana-5492	221	20	)	)	PUNCT
cana-5492	221	21	is	be	AUX
cana-5492	221	22	(	(	PUNCT
cana-5492	221	23	i	i	NOUN
cana-5492	221	24	)	)	PUNCT
cana-5492	221	25	nscontrazcts	nscontrazct	VERB
cana-5492	221	26	if	if	SCONJ
cana-5492	221	27	𝒢	𝒢	PROPN
cana-5492	221	28	is	be	AUX
cana-5492	221	29	nszirr	nszirr	ADJ
cana-5492	221	30	and	and	CCONJ
cana-5492	221	31	ℋ	ℋ	PROPN
cana-5492	221	32	is	be	AUX
cana-5492	221	33	nscontrazcts	nscontrazct	NOUN
cana-5492	221	34	.	.	PUNCT
cana-5492	222	1	(	(	PUNCT
cana-5492	222	2	ii	ii	NOUN
cana-5492	222	3	)	)	PUNCT
cana-5492	222	4	nscontraz	nscontraz	NOUN
cana-5492	222	5	-	-	PUNCT
cana-5492	222	6	irr	irr	NOUN
cana-5492	222	7	if	if	SCONJ
cana-5492	222	8	𝒢	𝒢	PROPN
cana-5492	222	9	is	be	AUX
cana-5492	222	10	nscontrazirr	nscontrazirr	NOUN
cana-5492	222	11	(	(	PUNCT
cana-5492	222	12	resp	resp	NOUN
cana-5492	222	13	.	.	PUNCT
cana-5492	223	1	nszirr	nszirr	PROPN
cana-5492	223	2	)	)	PUNCT
cana-5492	223	3	and	and	CCONJ
cana-5492	223	4	ℋ	ℋ	PROPN
cana-5492	223	5	is	be	AUX
cana-5492	223	6	nsz	nsz	ADJ
cana-5492	223	7	-	-	PUNCT
cana-5492	223	8	irr	irr	NOUN
cana-5492	223	9	(	(	PUNCT
cana-5492	223	10	resp	resp	NOUN
cana-5492	223	11	nscontraz	nscontraz	NOUN
cana-5492	223	12	-	-	PUNCT
cana-5492	223	13	irr	irr	NOUN
cana-5492	223	14	)	)	PUNCT
cana-5492	223	15	.	.	PUNCT
cana-5492	224	1	proof	proof	NOUN
cana-5492	224	2	.	.	PUNCT
cana-5492	225	1	(	(	PUNCT
cana-5492	225	2	i	i	NOUN
cana-5492	225	3	)	)	PUNCT
cana-5492	225	4	let	let	VERB
cana-5492	225	5	(	(	PUNCT
cana-5492	225	6	𝑆	𝑆	PROPN
cana-5492	225	7	,	,	PUNCT
cana-5492	225	8	ϱ	ϱ	PROPN
cana-5492	225	9	)	)	PUNCT
cana-5492	225	10	be	be	VERB
cana-5492	225	11	a	a	DET
cana-5492	225	12	nsos	nsos	NOUN
cana-5492	225	13	in	in	ADP
cana-5492	225	14	𝕌.	𝕌.	PROPN
cana-5492	225	15	then	then	ADV
cana-5492	225	16	ℋ	ℋ	PROPN
cana-5492	225	17	−1(𝑆	−1(𝑆	NOUN
cana-5492	225	18	,	,	PUNCT
cana-5492	225	19	ϱ	ϱ	NOUN
cana-5492	225	20	)	)	PUNCT
cana-5492	225	21	is	be	AUX
cana-5492	225	22	a	a	DET
cana-5492	225	23	nszcs	nszcs	NOUN
cana-5492	225	24	in	in	ADP
cana-5492	225	25	𝕋.	𝕋.	NOUN
cana-5492	225	26	as	as	SCONJ
cana-5492	225	27	ℋ	ℋ	PROPN
cana-5492	225	28	is	be	AUX
cana-5492	225	29	a	a	DET
cana-5492	225	30	nsz	nsz	ADJ
cana-5492	225	31	-	-	PUNCT
cana-5492	225	32	irr	irr	NOUN
cana-5492	225	33	map	map	NOUN
cana-5492	225	34	,	,	PUNCT
cana-5492	225	35	𝒢−1(ℋ	𝒢−1(ℋ	PROPN
cana-5492	225	36	−1(𝑆	−1(𝑆	PROPN
cana-5492	225	37	,	,	PUNCT
cana-5492	225	38	ϱ	ϱ	NOUN
cana-5492	225	39	)	)	PUNCT
cana-5492	225	40	)	)	PUNCT
cana-5492	226	1	is	be	AUX
cana-5492	226	2	a	a	DET
cana-5492	226	3	nszcs	nszcs	NOUN
cana-5492	226	4	in	in	ADP
cana-5492	226	5	𝕎.	𝕎.	PROPN
cana-5492	226	6	hence	hence	ADV
cana-5492	226	7	ℋ	ℋ	NOUN
cana-5492	226	8	∘	∘	NOUN
cana-5492	226	9	𝒢	𝒢	NOUN
cana-5492	226	10	is	be	AUX
cana-5492	226	11	a	a	DET
cana-5492	226	12	nscontrazcts	nscontrazct	NOUN
cana-5492	226	13	map	map	NOUN
cana-5492	226	14	.	.	PUNCT
cana-5492	227	1	the	the	DET
cana-5492	227	2	other	other	ADJ
cana-5492	227	3	cases	case	NOUN
cana-5492	227	4	are	be	AUX
cana-5492	227	5	similar	similar	ADJ
cana-5492	227	6	.	.	PUNCT
cana-5492	228	1	theorem	theorem	VERB
cana-5492	228	2	4.5	4.5	NUM
cana-5492	228	3	let	let	VERB
cana-5492	228	4	𝒢	𝒢	PROPN
cana-5492	228	5	∶	∶	NOUN
cana-5492	228	6	(	(	PUNCT
cana-5492	228	7	𝕎	𝕎	PROPN
cana-5492	228	8	,	,	PUNCT
cana-5492	228	9	τ	τ	PROPN
cana-5492	228	10	,	,	PUNCT
cana-5492	228	11	ϱ	ϱ	PROPN
cana-5492	228	12	)	)	PUNCT
cana-5492	228	13	→	→	SYM
cana-5492	228	14	(	(	PUNCT
cana-5492	228	15	𝕋	𝕋	PROPN
cana-5492	228	16	,	,	PUNCT
cana-5492	228	17	σ	σ	PROPN
cana-5492	228	18	,	,	PUNCT
cana-5492	228	19	ϱ	ϱ	NOUN
cana-5492	228	20	)	)	PUNCT
cana-5492	228	21	be	be	AUX
cana-5492	228	22	a	a	DET
cana-5492	228	23	mapping	mapping	NOUN
cana-5492	228	24	.	.	PUNCT
cana-5492	229	1	(	(	PUNCT
cana-5492	229	2	i	i	NOUN
cana-5492	229	3	)	)	PUNCT
cana-5492	229	4	if	if	SCONJ
cana-5492	229	5	(	(	PUNCT
cana-5492	229	6	𝕎	𝕎	PROPN
cana-5492	229	7	,	,	PUNCT
cana-5492	229	8	τ	τ	PROPN
cana-5492	229	9	,	,	PUNCT
cana-5492	229	10	ϱ	ϱ	PROPN
cana-5492	229	11	)	)	PUNCT
cana-5492	229	12	is	be	AUX
cana-5492	229	13	nsz𝑈1	nsz𝑈1	NUM
cana-5492	229	14	2	2	NUM
cana-5492	229	15	–	–	PUNCT
cana-5492	229	16	space	space	NOUN
cana-5492	229	17	,	,	PUNCT
cana-5492	229	18	then	then	ADV
cana-5492	229	19	the	the	DET
cana-5492	229	20	concepts	concept	NOUN
cana-5492	229	21	of	of	ADP
cana-5492	229	22	nscontracts	nscontract	NOUN
cana-5492	229	23	and	and	CCONJ
cana-5492	229	24	nscontrazcts	nscontrazct	NOUN
cana-5492	229	25	are	be	AUX
cana-5492	229	26	equivalent	equivalent	ADJ
cana-5492	229	27	.	.	PUNCT
cana-5492	230	1	(	(	PUNCT
cana-5492	230	2	ii	ii	NOUN
cana-5492	230	3	)	)	PUNCT
cana-5492	230	4	if	if	SCONJ
cana-5492	230	5	(	(	PUNCT
cana-5492	230	6	𝕋	𝕋	PROPN
cana-5492	230	7	,	,	PUNCT
cana-5492	230	8	σ	σ	PROPN
cana-5492	230	9	,	,	PUNCT
cana-5492	230	10	ϱ	ϱ	NOUN
cana-5492	230	11	)	)	PUNCT
cana-5492	230	12	is	be	AUX
cana-5492	230	13	nsz𝑈1	nsz𝑈1	NUM
cana-5492	230	14	2	2	NUM
cana-5492	230	15	–	–	PUNCT
cana-5492	230	16	space	space	NOUN
cana-5492	230	17	,	,	PUNCT
cana-5492	230	18	then	then	ADV
cana-5492	230	19	the	the	DET
cana-5492	230	20	concepts	concept	NOUN
cana-5492	230	21	of	of	ADP
cana-5492	230	22	nscontrazcts	nscontrazct	NOUN
cana-5492	230	23	and	and	CCONJ
cana-5492	230	24	nscontraz	nscontraz	NOUN
cana-5492	230	25	-	-	PUNCT
cana-5492	230	26	irr	irr	NOUN
cana-5492	230	27	are	be	AUX
cana-5492	230	28	equivalent	equivalent	ADJ
cana-5492	230	29	.	.	PUNCT
cana-5492	231	1	communications	communication	NOUN
cana-5492	231	2	on	on	ADP
cana-5492	231	3	applied	apply	VERB
cana-5492	231	4	nonlinear	nonlinear	ADJ
cana-5492	231	5	analysis	analysis	NOUN
cana-5492	231	6	issn	issn	NOUN
cana-5492	231	7	:	:	PUNCT
cana-5492	231	8	1074	1074	NUM
cana-5492	231	9	-	-	PUNCT
cana-5492	231	10	133x	133x	NUM
cana-5492	231	11	vol	vol	VERB
cana-5492	231	12	32	32	NUM
cana-5492	231	13	no	no	NOUN
cana-5492	231	14	.	.	PUNCT
cana-5492	232	1	10s	10	NOUN
cana-5492	232	2	(	(	PUNCT
cana-5492	232	3	2025	2025	NUM
cana-5492	232	4	)	)	PUNCT
cana-5492	232	5	2452	2452	NUM
cana-5492	232	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	232	7	(	(	PUNCT
cana-5492	232	8	iii	iii	NOUN
cana-5492	232	9	)	)	PUNCT
cana-5492	232	10	if	if	SCONJ
cana-5492	232	11	(	(	PUNCT
cana-5492	232	12	𝕎	𝕎	PROPN
cana-5492	232	13	,	,	PUNCT
cana-5492	232	14	τ	τ	PROPN
cana-5492	232	15	,	,	PUNCT
cana-5492	232	16	ϱ	ϱ	NOUN
cana-5492	232	17	)	)	PUNCT
cana-5492	232	18	and	and	CCONJ
cana-5492	232	19	(	(	PUNCT
cana-5492	232	20	𝕋	𝕋	PROPN
cana-5492	232	21	,	,	PUNCT
cana-5492	232	22	σ	σ	PROPN
cana-5492	232	23	,	,	PUNCT
cana-5492	232	24	ϱ	ϱ	NOUN
cana-5492	232	25	)	)	PUNCT
cana-5492	232	26	are	be	AUX
cana-5492	232	27	nsz𝑈1	nsz𝑈1	NUM
cana-5492	232	28	2	2	NUM
cana-5492	232	29	–	–	PUNCT
cana-5492	232	30	space	space	NOUN
cana-5492	232	31	,	,	PUNCT
cana-5492	232	32	then	then	ADV
cana-5492	232	33	the	the	DET
cana-5492	232	34	concepts	concept	NOUN
cana-5492	232	35	of	of	ADP
cana-5492	232	36	nscontracts	nscontract	NOUN
cana-5492	232	37	,	,	PUNCT
cana-5492	232	38	nscontrazcts	nscontrazct	NOUN
cana-5492	232	39	and	and	CCONJ
cana-5492	232	40	nscontraz	nscontraz	NOUN
cana-5492	232	41	-	-	PUNCT
cana-5492	232	42	irr	irr	NOUN
cana-5492	232	43	are	be	AUX
cana-5492	232	44	equivalent	equivalent	ADJ
cana-5492	232	45	.	.	PUNCT
cana-5492	233	1	proof	proof	NOUN
cana-5492	233	2	.	.	PUNCT
cana-5492	234	1	(	(	PUNCT
cana-5492	234	2	i	i	NOUN
cana-5492	234	3	)	)	PUNCT
cana-5492	234	4	let	let	VERB
cana-5492	234	5	(	(	PUNCT
cana-5492	234	6	𝑆	𝑆	PROPN
cana-5492	234	7	,	,	PUNCT
cana-5492	234	8	ϱ	ϱ	PROPN
cana-5492	234	9	)	)	PUNCT
cana-5492	234	10	be	be	VERB
cana-5492	234	11	a	a	DET
cana-5492	234	12	nscs	nscs	NOUN
cana-5492	234	13	in	in	ADP
cana-5492	234	14	𝕋.	𝕋.	NOUN
cana-5492	234	15	then	then	ADV
cana-5492	234	16	ℋ	ℋ	PROPN
cana-5492	234	17	−1(𝑆	−1(𝑆	NOUN
cana-5492	234	18	,	,	PUNCT
cana-5492	234	19	ϱ	ϱ	NOUN
cana-5492	234	20	)	)	PUNCT
cana-5492	234	21	is	be	AUX
cana-5492	234	22	a	a	DET
cana-5492	234	23	nszos	nszos	NOUN
cana-5492	234	24	in	in	ADP
cana-5492	234	25	𝕎	𝕎	PROPN
cana-5492	234	26	if	if	SCONJ
cana-5492	234	27	𝒢	𝒢	PROPN
cana-5492	234	28	is	be	AUX
cana-5492	234	29	nscontrazcts	nscontrazct	NOUN
cana-5492	234	30	.	.	PUNCT
cana-5492	235	1	as	as	SCONJ
cana-5492	235	2	(	(	PUNCT
cana-5492	235	3	𝕎	𝕎	PROPN
cana-5492	235	4	,	,	PUNCT
cana-5492	235	5	τ	τ	PROPN
cana-5492	235	6	,	,	PUNCT
cana-5492	235	7	ϱ	ϱ	PROPN
cana-5492	235	8	)	)	PUNCT
cana-5492	235	9	is	be	AUX
cana-5492	235	10	a	a	DET
cana-5492	235	11	nsz𝑈1	nsz𝑈1	NUM
cana-5492	235	12	2	2	NUM
cana-5492	235	13	–	–	PUNCT
cana-5492	235	14	space	space	NOUN
cana-5492	235	15	,	,	PUNCT
cana-5492	235	16	ℋ−1(𝑆	ℋ−1(𝑆	NOUN
cana-5492	235	17	,	,	PUNCT
cana-5492	235	18	ϱ	ϱ	NOUN
cana-5492	235	19	)	)	PUNCT
cana-5492	235	20	is	be	AUX
cana-5492	235	21	a	a	DET
cana-5492	235	22	nsos	nsos	NOUN
cana-5492	235	23	in	in	ADP
cana-5492	235	24	𝕎.	𝕎.	PROPN
cana-5492	235	25	hence	hence	ADV
cana-5492	235	26	𝒢	𝒢	PROPN
cana-5492	235	27	is	be	AUX
cana-5492	235	28	also	also	ADV
cana-5492	235	29	nscontracts	nscontract	NOUN
cana-5492	235	30	map	map	NOUN
cana-5492	235	31	.	.	PUNCT
cana-5492	236	1	the	the	DET
cana-5492	236	2	other	other	ADJ
cana-5492	236	3	cases	case	NOUN
cana-5492	236	4	are	be	AUX
cana-5492	236	5	similar	similar	ADJ
cana-5492	236	6	.	.	PUNCT
cana-5492	237	1	theorem	theorem	VERB
cana-5492	237	2	4.6	4.6	NUM
cana-5492	237	3	let	let	VERB
cana-5492	237	4	𝒢	𝒢	PROPN
cana-5492	237	5	∶	∶	NOUN
cana-5492	237	6	(	(	PUNCT
cana-5492	237	7	𝕎	𝕎	PROPN
cana-5492	237	8	,	,	PUNCT
cana-5492	237	9	τ	τ	PROPN
cana-5492	237	10	,	,	PUNCT
cana-5492	237	11	ϱ	ϱ	PROPN
cana-5492	237	12	)	)	PUNCT
cana-5492	237	13	→	→	SYM
cana-5492	237	14	(	(	PUNCT
cana-5492	237	15	𝕋	𝕋	PROPN
cana-5492	237	16	,	,	PUNCT
cana-5492	237	17	σ	σ	PROPN
cana-5492	237	18	,	,	PUNCT
cana-5492	237	19	ϱ	ϱ	NOUN
cana-5492	237	20	)	)	PUNCT
cana-5492	237	21	and	and	CCONJ
cana-5492	237	22	ℋ	ℋ	PROPN
cana-5492	237	23	:	:	PUNCT
cana-5492	237	24	(	(	PUNCT
cana-5492	237	25	𝕋	𝕋	PROPN
cana-5492	237	26	,	,	PUNCT
cana-5492	237	27	σ	σ	PROPN
cana-5492	237	28	,	,	PUNCT
cana-5492	237	29	ϱ	ϱ	NOUN
cana-5492	237	30	)	)	PUNCT
cana-5492	237	31	→	→	SYM
cana-5492	237	32	(	(	PUNCT
cana-5492	237	33	𝕌	𝕌	PROPN
cana-5492	237	34	,	,	PUNCT
cana-5492	237	35	𝜌	𝜌	X
cana-5492	237	36	,	,	PUNCT
cana-5492	237	37	ϱ	ϱ	NOUN
cana-5492	237	38	)	)	PUNCT
cana-5492	237	39	be	be	AUX
cana-5492	237	40	nscontrazcts	nscontrazct	NOUN
cana-5492	237	41	mappings	mapping	NOUN
cana-5492	237	42	and	and	CCONJ
cana-5492	237	43	(	(	PUNCT
cana-5492	237	44	𝕋	𝕋	PROPN
cana-5492	237	45	,	,	PUNCT
cana-5492	237	46	σ	σ	PROPN
cana-5492	237	47	,	,	PUNCT
cana-5492	237	48	ϱ	ϱ	NOUN
cana-5492	237	49	)	)	PUNCT
cana-5492	237	50	be	be	VERB
cana-5492	237	51	a	a	DET
cana-5492	237	52	nsz𝑈1	nsz𝑈1	NUM
cana-5492	237	53	2	2	NUM
cana-5492	237	54	–	–	PUNCT
cana-5492	237	55	space	space	NOUN
cana-5492	237	56	.	.	PUNCT
cana-5492	238	1	then	then	ADV
cana-5492	238	2	ℋ	ℋ	NOUN
cana-5492	238	3	∘	∘	PROPN
cana-5492	238	4	𝒢	𝒢	PROPN
cana-5492	238	5	∶	∶	NOUN
cana-5492	238	6	(	(	PUNCT
cana-5492	238	7	𝕎	𝕎	PROPN
cana-5492	238	8	,	,	PUNCT
cana-5492	238	9	τ	τ	PROPN
cana-5492	238	10	,	,	PUNCT
cana-5492	238	11	ϱ	ϱ	PROPN
cana-5492	238	12	)	)	PUNCT
cana-5492	238	13	→	→	SYM
cana-5492	238	14	(	(	PUNCT
cana-5492	238	15	𝕋	𝕋	PROPN
cana-5492	238	16	,	,	PUNCT
cana-5492	238	17	σ	σ	PROPN
cana-5492	238	18	,	,	PUNCT
cana-5492	238	19	ϱ	ϱ	NOUN
cana-5492	238	20	)	)	PUNCT
cana-5492	238	21	is	be	AUX
cana-5492	238	22	a	a	DET
cana-5492	238	23	nszcts	nszct	NOUN
cana-5492	238	24	map	map	NOUN
cana-5492	238	25	.	.	PUNCT
cana-5492	239	1	proof	proof	NOUN
cana-5492	239	2	.	.	PUNCT
cana-5492	240	1	let	let	VERB
cana-5492	240	2	(	(	PUNCT
cana-5492	240	3	𝑆	𝑆	PROPN
cana-5492	240	4	,	,	PUNCT
cana-5492	240	5	ϱ	ϱ	PROPN
cana-5492	240	6	)	)	PUNCT
cana-5492	240	7	be	be	VERB
cana-5492	240	8	a	a	DET
cana-5492	240	9	nscs	nscs	NOUN
cana-5492	240	10	in	in	ADP
cana-5492	240	11	𝕌.	𝕌.	PROPN
cana-5492	240	12	then	then	ADV
cana-5492	240	13	ℋ	ℋ	PROPN
cana-5492	240	14	−1(𝑆	−1(𝑆	NOUN
cana-5492	240	15	,	,	PUNCT
cana-5492	240	16	ϱ	ϱ	NOUN
cana-5492	240	17	)	)	PUNCT
cana-5492	240	18	is	be	AUX
cana-5492	240	19	a	a	DET
cana-5492	240	20	nszos	nszos	NOUN
cana-5492	240	21	in	in	ADP
cana-5492	240	22	𝕋.	𝕋.	NOUN
cana-5492	240	23	since	since	SCONJ
cana-5492	240	24	ℋ	ℋ	PROPN
cana-5492	240	25	is	be	AUX
cana-5492	240	26	nscontrazcts	nscontrazct	NOUN
cana-5492	240	27	.	.	PUNCT
cana-5492	241	1	as	as	SCONJ
cana-5492	241	2	(	(	PUNCT
cana-5492	241	3	𝕋	𝕋	PROPN
cana-5492	241	4	,	,	PUNCT
cana-5492	241	5	σ	σ	PROPN
cana-5492	241	6	,	,	PUNCT
cana-5492	241	7	ϱ	ϱ	NOUN
cana-5492	241	8	)	)	PUNCT
cana-5492	241	9	is	be	AUX
cana-5492	241	10	a	a	DET
cana-5492	241	11	nsz𝑈1	nsz𝑈1	NUM
cana-5492	241	12	2	2	NUM
cana-5492	241	13	–	–	PUNCT
cana-5492	241	14	space	space	NOUN
cana-5492	241	15	,	,	PUNCT
cana-5492	241	16	ℋ	ℋ	PROPN
cana-5492	241	17	−1(𝑆	−1(𝑆	NOUN
cana-5492	241	18	,	,	PUNCT
cana-5492	241	19	ϱ	ϱ	NOUN
cana-5492	241	20	)	)	PUNCT
cana-5492	241	21	is	be	AUX
cana-5492	241	22	a	a	DET
cana-5492	241	23	nsos	nsos	NOUN
cana-5492	241	24	in	in	ADP
cana-5492	241	25	𝕋.	𝕋.	NOUN
cana-5492	241	26	then	then	ADV
cana-5492	241	27	,	,	PUNCT
cana-5492	241	28	𝒢(ℋ	𝒢(ℋ	PROPN
cana-5492	241	29	−1(𝑆	−1(𝑆	PROPN
cana-5492	241	30	,	,	PUNCT
cana-5492	241	31	ϱ	ϱ	NOUN
cana-5492	241	32	)	)	PUNCT
cana-5492	241	33	)	)	PUNCT
cana-5492	242	1	is	be	AUX
cana-5492	242	2	a	a	DET
cana-5492	242	3	nszcs	nszcs	NOUN
cana-5492	242	4	in	in	ADP
cana-5492	242	5	𝕎	𝕎	PROPN
cana-5492	242	6	because	because	SCONJ
cana-5492	242	7	𝒢	𝒢	PROPN
cana-5492	242	8	is	be	AUX
cana-5492	242	9	nscontrazcts	nscontrazct	NOUN
cana-5492	242	10	.	.	PUNCT
cana-5492	243	1	hence	hence	ADV
cana-5492	243	2	,	,	PUNCT
cana-5492	243	3	ℋ	ℋ	PROPN
cana-5492	243	4	∘	∘	PROPN
cana-5492	243	5	𝒢	𝒢	NOUN
cana-5492	243	6	is	be	AUX
cana-5492	243	7	a	a	DET
cana-5492	243	8	nszcts	nszct	NOUN
cana-5492	243	9	map	map	NOUN
cana-5492	243	10	.	.	PUNCT
cana-5492	244	1	theorem	theorem	VERB
cana-5492	244	2	4.7	4.7	NUM
cana-5492	244	3	let	let	VERB
cana-5492	244	4	𝒢	𝒢	PROPN
cana-5492	244	5	∶	∶	NOUN
cana-5492	244	6	(	(	PUNCT
cana-5492	244	7	𝕎	𝕎	PROPN
cana-5492	244	8	,	,	PUNCT
cana-5492	244	9	τ	τ	PROPN
cana-5492	244	10	,	,	PUNCT
cana-5492	244	11	ϱ	ϱ	PROPN
cana-5492	244	12	)	)	PUNCT
cana-5492	244	13	→	→	SYM
cana-5492	244	14	(	(	PUNCT
cana-5492	244	15	𝕋	𝕋	PROPN
cana-5492	244	16	,	,	PUNCT
cana-5492	244	17	σ	σ	PROPN
cana-5492	244	18	,	,	PUNCT
cana-5492	244	19	ϱ	ϱ	NOUN
cana-5492	244	20	)	)	PUNCT
cana-5492	244	21	be	be	VERB
cana-5492	244	22	a	a	DET
cana-5492	244	23	map	map	NOUN
cana-5492	244	24	from	from	ADP
cana-5492	244	25	a	a	DET
cana-5492	244	26	nsts	nst	NOUN
cana-5492	244	27	𝕎	𝕎	NOUN
cana-5492	244	28	into	into	ADP
cana-5492	244	29	a	a	DET
cana-5492	244	30	nsts	nst	NOUN
cana-5492	244	31	𝕋.	𝕋.	NOUN
cana-5492	244	32	if	if	SCONJ
cana-5492	244	33	𝕎	𝕎	PROPN
cana-5492	244	34	and	and	CCONJ
cana-5492	244	35	𝕋	𝕋	NOUN
cana-5492	244	36	are	be	AUX
cana-5492	244	37	nsz𝑈1	nsz𝑈1	ADP
cana-5492	244	38	2	2	NUM
cana-5492	244	39	–	–	PUNCT
cana-5492	244	40	space	space	NOUN
cana-5492	244	41	,	,	PUNCT
cana-5492	244	42	then	then	ADV
cana-5492	244	43	the	the	DET
cana-5492	244	44	following	following	NOUN
cana-5492	244	45	are	be	AUX
cana-5492	244	46	equivalent	equivalent	ADJ
cana-5492	244	47	.	.	PUNCT
cana-5492	245	1	(	(	PUNCT
cana-5492	245	2	i	i	NOUN
cana-5492	245	3	)	)	PUNCT
cana-5492	246	1	𝒢	𝒢	NOUN
cana-5492	246	2	is	be	AUX
cana-5492	246	3	a	a	DET
cana-5492	246	4	nscontraz	nscontraz	NOUN
cana-5492	246	5	-	-	PUNCT
cana-5492	246	6	irr	irr	NOUN
cana-5492	246	7	map	map	NOUN
cana-5492	246	8	.	.	PUNCT
cana-5492	247	1	(	(	PUNCT
cana-5492	247	2	ii	ii	NOUN
cana-5492	247	3	)	)	PUNCT
cana-5492	247	4	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	247	5	,	,	PUNCT
cana-5492	247	6	ϱ	ϱ	NOUN
cana-5492	247	7	)	)	PUNCT
cana-5492	247	8	is	be	AUX
cana-5492	247	9	a	a	DET
cana-5492	247	10	nszos	nszos	NOUN
cana-5492	247	11	in	in	ADP
cana-5492	247	12	𝕎	𝕎	PROPN
cana-5492	247	13	for	for	ADP
cana-5492	247	14	every	every	DET
cana-5492	247	15	nszcs	nszcs	NOUN
cana-5492	247	16	(	(	PUNCT
cana-5492	247	17	𝑆	𝑆	PROPN
cana-5492	247	18	,	,	PUNCT
cana-5492	247	19	ϱ	ϱ	NOUN
cana-5492	247	20	)	)	PUNCT
cana-5492	247	21	in	in	ADP
cana-5492	247	22	𝕋.	𝕋.	NOUN
cana-5492	247	23	(	(	PUNCT
cana-5492	247	24	iii	iii	NOUN
cana-5492	247	25	)	)	PUNCT
cana-5492	247	26	nscl(𝒢−1(𝑆	nscl(𝒢−1(𝑆	NOUN
cana-5492	247	27	,	,	PUNCT
cana-5492	247	28	ϱ	ϱ	NOUN
cana-5492	247	29	)	)	PUNCT
cana-5492	247	30	)	)	PUNCT
cana-5492	247	31	⊇	⊇	PROPN
cana-5492	247	32	𝒢−1	𝒢−1	X
cana-5492	247	33	(	(	PUNCT
cana-5492	247	34	nsint(𝑆	nsint(𝑆	PROPN
cana-5492	247	35	,	,	PUNCT
cana-5492	247	36	ϱ	ϱ	NOUN
cana-5492	247	37	)	)	PUNCT
cana-5492	247	38	)	)	PUNCT
cana-5492	247	39	for	for	ADP
cana-5492	247	40	each	each	DET
cana-5492	247	41	(	(	PUNCT
cana-5492	247	42	𝑆	𝑆	PROPN
cana-5492	247	43	,	,	PUNCT
cana-5492	247	44	ϱ	ϱ	NOUN
cana-5492	247	45	)	)	PUNCT
cana-5492	247	46	of	of	ADP
cana-5492	247	47	𝕋.	𝕋.	NOUN
cana-5492	247	48	proof	proof	NOUN
cana-5492	247	49	.	.	PUNCT
cana-5492	248	1	(	(	PUNCT
cana-5492	248	2	i	i	NOUN
cana-5492	248	3	)	)	PUNCT
cana-5492	248	4	→	→	SYM
cana-5492	248	5	(	(	PUNCT
cana-5492	248	6	ii	ii	NOUN
cana-5492	248	7	):	):	PUNCT
cana-5492	248	8	consider	consider	VERB
cana-5492	248	9	a	a	DET
cana-5492	248	10	nszcs	nszcs	NOUN
cana-5492	248	11	(	(	PUNCT
cana-5492	248	12	𝑆	𝑆	PROPN
cana-5492	248	13	,	,	PUNCT
cana-5492	248	14	ϱ	ϱ	NOUN
cana-5492	248	15	)	)	PUNCT
cana-5492	248	16	in	in	ADP
cana-5492	248	17	𝕋.	𝕋.	NOUN
cana-5492	248	18	then	then	ADV
cana-5492	248	19	(	(	PUNCT
cana-5492	248	20	𝑆	𝑆	PROPN
cana-5492	248	21	,	,	PUNCT
cana-5492	248	22	𝜚)𝑐	𝜚)𝑐	X
cana-5492	248	23	is	be	AUX
cana-5492	248	24	a	a	DET
cana-5492	248	25	nszos	nszos	NOUN
cana-5492	248	26	in	in	ADP
cana-5492	248	27	𝕋.	𝕋.	NOUN
cana-5492	248	28	as	as	SCONJ
cana-5492	248	29	𝒢	𝒢	PROPN
cana-5492	248	30	is	be	AUX
cana-5492	248	31	nscontrazirr	nscontrazirr	PROPN
cana-5492	248	32	,	,	PUNCT
cana-5492	248	33	𝒢−1	𝒢−1	X
cana-5492	248	34	(	(	PUNCT
cana-5492	248	35	(	(	PUNCT
cana-5492	248	36	𝑆	𝑆	PROPN
cana-5492	248	37	,	,	PUNCT
cana-5492	248	38	𝜚)𝑐	𝜚)𝑐	ADJ
cana-5492	248	39	)	)	PUNCT
cana-5492	248	40	is	be	AUX
cana-5492	248	41	a	a	DET
cana-5492	248	42	nszcs	nszcs	NOUN
cana-5492	248	43	in	in	ADP
cana-5492	248	44	𝕎.	𝕎.	PROPN
cana-5492	248	45	we	we	PRON
cana-5492	248	46	know	know	VERB
cana-5492	249	1	that	that	SCONJ
cana-5492	249	2	,	,	PUNCT
cana-5492	249	3	𝒢−1((𝑆	𝒢−1((𝑆	PROPN
cana-5492	249	4	,	,	PUNCT
cana-5492	249	5	𝜚)𝑐	𝜚)𝑐	ADJ
cana-5492	249	6	)	)	PUNCT
cana-5492	249	7	=	=	SYM
cana-5492	250	1	(	(	PUNCT
cana-5492	250	2	𝒢−1	𝒢−1	X
cana-5492	250	3	(	(	PUNCT
cana-5492	250	4	𝑆	𝑆	PROPN
cana-5492	250	5	,	,	PUNCT
cana-5492	250	6	𝜚))𝑐.	𝜚))𝑐.	NUM
cana-5492	250	7	thus	thus	ADV
cana-5492	250	8	𝒢−1(𝑆	𝒢−1(𝑆	ADJ
cana-5492	250	9	,	,	PUNCT
cana-5492	250	10	ϱ	ϱ	NOUN
cana-5492	250	11	)	)	PUNCT
cana-5492	250	12	is	be	AUX
cana-5492	250	13	a	a	DET
cana-5492	250	14	nszos	nszos	NOUN
cana-5492	250	15	in	in	ADP
cana-5492	250	16	𝕎.	𝕎.	PROPN
cana-5492	250	17	(	(	PUNCT
cana-5492	250	18	ii	ii	NOUN
cana-5492	250	19	)	)	PUNCT
cana-5492	250	20	→	→	SYM
cana-5492	250	21	(	(	PUNCT
cana-5492	250	22	iii	iii	NOUN
cana-5492	250	23	)	)	PUNCT
cana-5492	250	24	:	:	PUNCT
cana-5492	250	25	consider	consider	VERB
cana-5492	250	26	a	a	DET
cana-5492	250	27	nss	nss	NOUN
cana-5492	250	28	(	(	PUNCT
cana-5492	250	29	𝑆	𝑆	PROPN
cana-5492	250	30	,	,	PUNCT
cana-5492	250	31	ϱ	ϱ	NOUN
cana-5492	250	32	)	)	PUNCT
cana-5492	250	33	in	in	ADP
cana-5492	250	34	𝕋	𝕋	PROPN
cana-5492	250	35	and	and	CCONJ
cana-5492	250	36	nsint(𝑆	nsint(𝑆	NOUN
cana-5492	250	37	,	,	PUNCT
cana-5492	250	38	ϱ	ϱ	NOUN
cana-5492	250	39	)	)	PUNCT
cana-5492	250	40	⊆	⊆	NUM
cana-5492	250	41	(	(	PUNCT
cana-5492	250	42	𝑆	𝑆	PROPN
cana-5492	250	43	,	,	PUNCT
cana-5492	250	44	ϱ	ϱ	NOUN
cana-5492	250	45	)	)	PUNCT
cana-5492	250	46	.	.	PUNCT
cana-5492	251	1	then	then	ADV
cana-5492	251	2	𝒢−1(𝑁𝑆𝑖𝑛𝑡(𝑆	𝒢−1(𝑁𝑆𝑖𝑛𝑡(𝑆	NOUN
cana-5492	251	3	,	,	PUNCT
cana-5492	251	4	ϱ	ϱ	NOUN
cana-5492	251	5	)	)	PUNCT
cana-5492	251	6	)	)	PUNCT
cana-5492	251	7	⊆	⊆	NUM
cana-5492	251	8	𝒢−1(𝑆	𝒢−1(𝑆	X
cana-5492	251	9	,	,	PUNCT
cana-5492	251	10	ϱ	ϱ	NOUN
cana-5492	251	11	)	)	PUNCT
cana-5492	251	12	.	.	PUNCT
cana-5492	252	1	as	as	SCONJ
cana-5492	252	2	nsint(𝑆	nsint(𝑆	PROPN
cana-5492	252	3	,	,	PUNCT
cana-5492	252	4	ϱ	ϱ	NOUN
cana-5492	252	5	)	)	PUNCT
cana-5492	252	6	is	be	AUX
cana-5492	252	7	a	a	DET
cana-5492	252	8	nsos	nsos	NOUN
cana-5492	252	9	in	in	ADP
cana-5492	252	10	𝕋	𝕋	PROPN
cana-5492	252	11	,	,	PUNCT
cana-5492	252	12	nsint(𝑆	nsint(𝑆	NOUN
cana-5492	252	13	,	,	PUNCT
cana-5492	252	14	ϱ	ϱ	NOUN
cana-5492	252	15	)	)	PUNCT
cana-5492	252	16	is	be	AUX
cana-5492	252	17	a	a	DET
cana-5492	252	18	nszos	nszos	NOUN
cana-5492	252	19	in	in	ADP
cana-5492	252	20	𝕋.	𝕋.	NOUN
cana-5492	252	21	therefore	therefore	ADV
cana-5492	252	22	(	(	PUNCT
cana-5492	252	23	𝑁𝑆𝑖𝑛𝑡(𝑆	𝑁𝑆𝑖𝑛𝑡(𝑆	PROPN
cana-5492	252	24	,	,	PUNCT
cana-5492	252	25	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	252	26	is	be	AUX
cana-5492	252	27	a	a	DET
cana-5492	252	28	nszcs	nszcs	NOUN
cana-5492	252	29	in	in	ADP
cana-5492	252	30	𝕋.	𝕋.	NOUN
cana-5492	252	31	by	by	ADP
cana-5492	252	32	presumption	presumption	NOUN
cana-5492	252	33	,	,	PUNCT
cana-5492	252	34	𝒢−1(nsint(𝑆	𝒢−1(nsint(𝑆	NOUN
cana-5492	252	35	,	,	PUNCT
cana-5492	252	36	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	252	37	is	be	AUX
cana-5492	252	38	a	a	DET
cana-5492	252	39	nszos	nszos	NOUN
cana-5492	252	40	in	in	ADP
cana-5492	252	41	𝕎.	𝕎.	PROPN
cana-5492	252	42	as	as	ADP
cana-5492	252	43	𝒢−1	𝒢−1	X
cana-5492	252	44	(	(	PUNCT
cana-5492	252	45	(	(	PUNCT
cana-5492	252	46	𝑁𝑆𝑖𝑛𝑡(𝑆	𝑁𝑆𝑖𝑛𝑡(𝑆	NOUN
cana-5492	252	47	,	,	PUNCT
cana-5492	252	48	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	252	49	)	)	PUNCT
cana-5492	253	1	=	=	SYM
cana-5492	253	2	(	(	PUNCT
cana-5492	253	3	𝒢−1(nsint(𝑆	𝒢−1(nsint(𝑆	NOUN
cana-5492	253	4	,	,	PUNCT
cana-5492	253	5	𝜚)))𝑐	𝜚)))𝑐	PROPN
cana-5492	253	6	,	,	PUNCT
cana-5492	253	7	𝒢−1(nsint(𝑆	𝒢−1(nsint(𝑆	NOUN
cana-5492	253	8	,	,	PUNCT
cana-5492	253	9	ϱ	ϱ	NOUN
cana-5492	253	10	)	)	PUNCT
cana-5492	253	11	)	)	PUNCT
cana-5492	253	12	is	be	AUX
cana-5492	253	13	a	a	DET
cana-5492	253	14	nszos	nszos	NOUN
cana-5492	253	15	in	in	ADP
cana-5492	253	16	𝕎.	𝕎.	PROPN
cana-5492	253	17	as	as	SCONJ
cana-5492	253	18	𝕎	𝕎	PROPN
cana-5492	253	19	is	be	AUX
cana-5492	253	20	a	a	DET
cana-5492	253	21	nsz𝑈1	nsz𝑈1	NUM
cana-5492	253	22	2	2	NUM
cana-5492	253	23	–	–	PUNCT
cana-5492	253	24	space	space	NOUN
cana-5492	253	25	,	,	PUNCT
cana-5492	253	26	𝒢−1	𝒢−1	X
cana-5492	253	27	(	(	PUNCT
cana-5492	253	28	nsint(𝑆	nsint(𝑆	NOUN
cana-5492	253	29	,	,	PUNCT
cana-5492	253	30	ϱ	ϱ	NOUN
cana-5492	253	31	)	)	PUNCT
cana-5492	253	32	)	)	PUNCT
cana-5492	253	33	is	be	AUX
cana-5492	253	34	a	a	DET
cana-5492	253	35	nsos	nsos	NOUN
cana-5492	253	36	in	in	ADP
cana-5492	253	37	𝕎.	𝕎.	PROPN
cana-5492	253	38	thus	thus	ADV
cana-5492	253	39	,	,	PUNCT
cana-5492	253	40	nscl(𝒢−1(𝑆	nscl(𝒢−1(𝑆	ADJ
cana-5492	253	41	,	,	PUNCT
cana-5492	253	42	ϱ	ϱ	NOUN
cana-5492	253	43	)	)	PUNCT
cana-5492	253	44	)	)	PUNCT
cana-5492	253	45	⊇	⊇	PROPN
cana-5492	253	46	nscl(𝒢−1(nsint(𝑆	nscl(𝒢−1(nsint(𝑆	PROPN
cana-5492	253	47	,	,	PUNCT
cana-5492	253	48	ϱ	ϱ	NOUN
cana-5492	253	49	)	)	PUNCT
cana-5492	253	50	)	)	PUNCT
cana-5492	253	51	)	)	PUNCT
cana-5492	254	1	=	=	PRON
cana-5492	254	2	𝒢−1	𝒢−1	X
cana-5492	254	3	(	(	PUNCT
cana-5492	254	4	nsint(𝑆	nsint(𝑆	NOUN
cana-5492	254	5	,	,	PUNCT
cana-5492	254	6	ϱ	ϱ	NOUN
cana-5492	254	7	)	)	PUNCT
cana-5492	254	8	)	)	PUNCT
cana-5492	254	9	.	.	PUNCT
cana-5492	255	1	that	that	PRON
cana-5492	255	2	is	be	AUX
cana-5492	255	3	,	,	PUNCT
cana-5492	255	4	nscl(𝒢−1(𝑆	nscl(𝒢−1(𝑆	ADJ
cana-5492	255	5	,	,	PUNCT
cana-5492	255	6	ϱ	ϱ	NOUN
cana-5492	255	7	)	)	PUNCT
cana-5492	255	8	)	)	PUNCT
cana-5492	255	9	⊇	⊇	NOUN
cana-5492	255	10	𝒢−1(nsint(𝑆	𝒢−1(nsint(𝑆	NOUN
cana-5492	255	11	,	,	PUNCT
cana-5492	255	12	ϱ	ϱ	NOUN
cana-5492	255	13	)	)	PUNCT
cana-5492	255	14	)	)	PUNCT
cana-5492	255	15	.	.	PUNCT
cana-5492	256	1	(	(	PUNCT
cana-5492	256	2	iii	iii	NOUN
cana-5492	256	3	)	)	PUNCT
cana-5492	256	4	→	→	SYM
cana-5492	256	5	(	(	PUNCT
cana-5492	256	6	i	i	NOUN
cana-5492	256	7	):	):	PUNCT
cana-5492	256	8	consider	consider	VERB
cana-5492	256	9	a	a	DET
cana-5492	256	10	nszcs	nszcs	NOUN
cana-5492	256	11	(	(	PUNCT
cana-5492	256	12	𝑆	𝑆	PROPN
cana-5492	256	13	,	,	PUNCT
cana-5492	256	14	ϱ	ϱ	NOUN
cana-5492	256	15	)	)	PUNCT
cana-5492	256	16	in	in	ADP
cana-5492	256	17	𝕋.	𝕋.	NOUN
cana-5492	256	18	as	as	SCONJ
cana-5492	256	19	𝕋	𝕋	PRON
cana-5492	256	20	is	be	AUX
cana-5492	256	21	nsz𝑈1	nsz𝑈1	NUM
cana-5492	256	22	2	2	NUM
cana-5492	256	23	–	–	PUNCT
cana-5492	256	24	space	space	NOUN
cana-5492	256	25	,	,	PUNCT
cana-5492	256	26	(	(	PUNCT
cana-5492	256	27	𝑆	𝑆	PROPN
cana-5492	256	28	,	,	PUNCT
cana-5492	256	29	ϱ	ϱ	PROPN
cana-5492	256	30	)	)	PUNCT
cana-5492	256	31	is	be	AUX
cana-5492	256	32	a	a	DET
cana-5492	256	33	nscs	nscs	NOUN
cana-5492	256	34	in	in	ADP
cana-5492	256	35	𝕋	𝕋	PROPN
cana-5492	256	36	and	and	CCONJ
cana-5492	256	37	nscl(𝑆	nscl(𝑆	PROPN
cana-5492	256	38	,	,	PUNCT
cana-5492	256	39	ϱ	ϱ	NOUN
cana-5492	256	40	)	)	PUNCT
cana-5492	256	41	=	=	SYM
cana-5492	256	42	(	(	PUNCT
cana-5492	256	43	𝑆	𝑆	PROPN
cana-5492	256	44	,	,	PUNCT
cana-5492	256	45	ϱ	ϱ	NOUN
cana-5492	256	46	)	)	PUNCT
cana-5492	256	47	.	.	PUNCT
cana-5492	257	1	hence	hence	ADV
cana-5492	257	2	𝒢−1(𝑆	𝒢−1(𝑆	ADV
cana-5492	257	3	,	,	PUNCT
cana-5492	257	4	ϱ	ϱ	NOUN
cana-5492	257	5	)	)	PUNCT
cana-5492	257	6	=	=	SYM
cana-5492	257	7	𝒢−1(nscl(𝑆	𝒢−1(nscl(𝑆	NOUN
cana-5492	257	8	,	,	PUNCT
cana-5492	257	9	ϱ	ϱ	NOUN
cana-5492	257	10	)	)	PUNCT
cana-5492	257	11	)	)	PUNCT
cana-5492	258	1	⊇	⊇	PROPN
cana-5492	258	2	nsint(𝒢−1(𝑆	nsint(𝒢−1(𝑆	NOUN
cana-5492	258	3	,	,	PUNCT
cana-5492	258	4	ϱ	ϱ	NOUN
cana-5492	258	5	)	)	PUNCT
cana-5492	258	6	)	)	PUNCT
cana-5492	258	7	.	.	PUNCT
cana-5492	259	1	but	but	CCONJ
cana-5492	259	2	clearly	clearly	ADV
cana-5492	259	3	𝒢−1(𝑆	𝒢−1(𝑆	VERB
cana-5492	259	4	,	,	PUNCT
cana-5492	259	5	ϱ	ϱ	NOUN
cana-5492	259	6	)	)	PUNCT
cana-5492	259	7	⊇	⊇	NOUN
cana-5492	259	8	nsint(𝒢−1(𝑆	nsint(𝒢−1(𝑆	NOUN
cana-5492	259	9	,	,	PUNCT
cana-5492	259	10	ϱ	ϱ	NOUN
cana-5492	259	11	)	)	PUNCT
cana-5492	259	12	)	)	PUNCT
cana-5492	259	13	.	.	PUNCT
cana-5492	260	1	therefore	therefore	ADV
cana-5492	260	2	nsint(𝒢−1(𝑆	nsint(𝒢−1(𝑆	NOUN
cana-5492	260	3	,	,	PUNCT
cana-5492	260	4	ϱ	ϱ	NOUN
cana-5492	260	5	)	)	PUNCT
cana-5492	260	6	)	)	PUNCT
cana-5492	261	1	=	=	PUNCT
cana-5492	261	2	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	261	3	,	,	PUNCT
cana-5492	261	4	ϱ	ϱ	NOUN
cana-5492	261	5	)	)	PUNCT
cana-5492	261	6	.	.	PUNCT
cana-5492	262	1	so	so	ADV
cana-5492	262	2	,	,	PUNCT
cana-5492	262	3	𝒢−1(𝑆	𝒢−1(𝑆	PROPN
cana-5492	262	4	,	,	PUNCT
cana-5492	262	5	ϱ	ϱ	NOUN
cana-5492	262	6	)	)	PUNCT
cana-5492	262	7	is	be	AUX
cana-5492	262	8	a	a	DET
cana-5492	262	9	nsos	nsos	NOUN
cana-5492	262	10	and	and	CCONJ
cana-5492	262	11	hence	hence	ADV
cana-5492	262	12	it	it	PRON
cana-5492	262	13	is	be	AUX
cana-5492	262	14	a	a	DET
cana-5492	262	15	nszos	nszos	NOUN
cana-5492	262	16	in	in	ADP
cana-5492	262	17	𝕎.	𝕎.	NOUN
cana-5492	262	18	thus	thus	ADV
cana-5492	262	19	𝒢	𝒢	PROPN
cana-5492	262	20	is	be	AUX
cana-5492	262	21	a	a	DET
cana-5492	262	22	nscontraz	nscontraz	NOUN
cana-5492	262	23	-	-	PUNCT
cana-5492	262	24	irr	irr	NOUN
cana-5492	262	25	map	map	NOUN
cana-5492	262	26	.	.	PUNCT
cana-5492	263	1	5	5	X
cana-5492	263	2	.	.	NUM
cana-5492	263	3	neutrosophic	neutrosophic	ADJ
cana-5492	263	4	soft	soft	ADJ
cana-5492	263	5	contra	contra	PROPN
cana-5492	263	6	z	z	PROPN
cana-5492	263	7	open	open	ADJ
cana-5492	263	8	mapping	mapping	NOUN
cana-5492	263	9	definition	definition	NOUN
cana-5492	263	10	5.1	5.1	NUM
cana-5492	263	11	a	a	DET
cana-5492	263	12	mapping	mapping	NOUN
cana-5492	263	13	𝒢	𝒢	NOUN
cana-5492	263	14	:	:	PUNCT
cana-5492	263	15	(	(	PUNCT
cana-5492	263	16	𝕎	𝕎	PROPN
cana-5492	263	17	,	,	PUNCT
cana-5492	263	18	τ	τ	PROPN
cana-5492	263	19	,	,	PUNCT
cana-5492	263	20	ϱ	ϱ	PROPN
cana-5492	263	21	)	)	PUNCT
cana-5492	263	22	→	→	SYM
cana-5492	263	23	(	(	PUNCT
cana-5492	263	24	𝕋	𝕋	PROPN
cana-5492	263	25	,	,	PUNCT
cana-5492	263	26	σ	σ	PROPN
cana-5492	263	27	,	,	PUNCT
cana-5492	263	28	ϱ	ϱ	NOUN
cana-5492	263	29	)	)	PUNCT
cana-5492	263	30	is	be	AUX
cana-5492	263	31	neutrosophic	neutrosophic	ADJ
cana-5492	263	32	soft	soft	ADJ
cana-5492	263	33	contra	contra	PROPN
cana-5492	263	34	z	z	PROPN
cana-5492	263	35	–	–	PUNCT
cana-5492	263	36	open	open	ADJ
cana-5492	263	37	(	(	PUNCT
cana-5492	263	38	in	in	ADP
cana-5492	263	39	short	short	ADJ
cana-5492	263	40	,	,	PUNCT
cana-5492	263	41	nscontrazo	nscontrazo	ADJ
cana-5492	263	42	)	)	PUNCT
cana-5492	263	43	if	if	SCONJ
cana-5492	263	44	the	the	DET
cana-5492	263	45	image	image	NOUN
cana-5492	263	46	of	of	ADP
cana-5492	263	47	each	each	DET
cana-5492	263	48	nsos	nsos	NOUN
cana-5492	263	49	of	of	ADP
cana-5492	263	50	(	(	PUNCT
cana-5492	263	51	𝕎	𝕎	PROPN
cana-5492	263	52	,	,	PUNCT
cana-5492	263	53	τ	τ	PROPN
cana-5492	263	54	,	,	PUNCT
cana-5492	263	55	ϱ	ϱ	PROPN
cana-5492	263	56	)	)	PUNCT
cana-5492	263	57	is	be	AUX
cana-5492	263	58	a	a	DET
cana-5492	263	59	nszcs	nszcs	NOUN
cana-5492	263	60	in	in	ADP
cana-5492	263	61	(	(	PUNCT
cana-5492	263	62	𝕋	𝕋	PROPN
cana-5492	263	63	,	,	PUNCT
cana-5492	263	64	σ	σ	PROPN
cana-5492	263	65	,	,	PUNCT
cana-5492	263	66	ϱ	ϱ	NOUN
cana-5492	263	67	)	)	PUNCT
cana-5492	263	68	.	.	PUNCT
cana-5492	264	1	theorem	theorem	VERB
cana-5492	264	2	5.1	5.1	NUM
cana-5492	264	3	the	the	DET
cana-5492	264	4	statements	statement	NOUN
cana-5492	264	5	are	be	AUX
cana-5492	264	6	hold	hold	NOUN
cana-5492	264	7	but	but	CCONJ
cana-5492	264	8	the	the	DET
cana-5492	264	9	converse	converse	NOUN
cana-5492	264	10	does	do	AUX
cana-5492	264	11	not	not	PART
cana-5492	264	12	true	true	ADJ
cana-5492	264	13	.	.	PUNCT
cana-5492	265	1	communications	communication	NOUN
cana-5492	265	2	on	on	ADP
cana-5492	265	3	applied	apply	VERB
cana-5492	265	4	nonlinear	nonlinear	ADJ
cana-5492	265	5	analysis	analysis	NOUN
cana-5492	265	6	issn	issn	NOUN
cana-5492	265	7	:	:	PUNCT
cana-5492	265	8	1074	1074	NUM
cana-5492	265	9	-	-	PUNCT
cana-5492	265	10	133x	133x	NUM
cana-5492	265	11	vol	vol	VERB
cana-5492	265	12	32	32	NUM
cana-5492	265	13	no	no	NOUN
cana-5492	265	14	.	.	PUNCT
cana-5492	266	1	10s	10	NOUN
cana-5492	266	2	(	(	PUNCT
cana-5492	266	3	2025	2025	NUM
cana-5492	266	4	)	)	PUNCT
cana-5492	266	5	2453	2453	NUM
cana-5492	266	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	266	7	a	a	X
cana-5492	266	8	)	)	PUNCT
cana-5492	266	9	each	each	DET
cana-5492	266	10	nscontraδo	nscontraδo	NOUN
cana-5492	266	11	is	be	AUX
cana-5492	266	12	a	a	DET
cana-5492	266	13	nscontrao	nscontrao	NOUN
cana-5492	266	14	.	.	PUNCT
cana-5492	267	1	b	b	X
cana-5492	267	2	)	)	PUNCT
cana-5492	267	3	each	each	DET
cana-5492	267	4	nscontrao	nscontrao	PROPN
cana-5492	267	5	is	be	AUX
cana-5492	267	6	a	a	DET
cana-5492	267	7	nscontraδso	nscontraδso	PROPN
cana-5492	267	8	.	.	PUNCT
cana-5492	268	1	c	c	X
cana-5492	268	2	)	)	PUNCT
cana-5492	268	3	each	each	DET
cana-5492	268	4	nscontrao	nscontrao	PROPN
cana-5492	268	5	is	be	AUX
cana-5492	268	6	a	a	DET
cana-5492	268	7	nscontrapo	nscontrapo	NOUN
cana-5492	268	8	.	.	PUNCT
cana-5492	269	1	d	d	X
cana-5492	269	2	)	)	PUNCT
cana-5492	269	3	each	each	DET
cana-5492	269	4	nscontraδso	nscontraδso	PROPN
cana-5492	269	5	is	be	AUX
cana-5492	269	6	a	a	DET
cana-5492	269	7	nscontrazo	nscontrazo	NOUN
cana-5492	269	8	.	.	PUNCT
cana-5492	270	1	e	e	X
cana-5492	270	2	)	)	PUNCT
cana-5492	270	3	each	each	DET
cana-5492	270	4	nscontrapo	nscontrapo	NOUN
cana-5492	270	5	is	be	AUX
cana-5492	270	6	a	a	DET
cana-5492	270	7	nscontrazo	nscontrazo	NOUN
cana-5492	270	8	.	.	PUNCT
cana-5492	271	1	f	f	X
cana-5492	271	2	)	)	PUNCT
cana-5492	271	3	each	each	PRON
cana-5492	271	4	nscontrazo	nscontrazo	ADV
cana-5492	271	5	is	be	AUX
cana-5492	271	6	a	a	DET
cana-5492	271	7	nscontraeo	nscontraeo	NOUN
cana-5492	271	8	.	.	PUNCT
cana-5492	272	1	proof	proof	NOUN
cana-5492	272	2	.	.	PUNCT
cana-5492	273	1	(	(	PUNCT
cana-5492	273	2	a	a	X
cana-5492	273	3	)	)	PUNCT
cana-5492	273	4	let	let	NOUN
cana-5492	273	5	(	(	PUNCT
cana-5492	273	6	𝑆	𝑆	PROPN
cana-5492	273	7	,	,	PUNCT
cana-5492	273	8	ϱ	ϱ	PROPN
cana-5492	273	9	)	)	PUNCT
cana-5492	273	10	be	be	VERB
cana-5492	273	11	a	a	DET
cana-5492	273	12	nsos	nsos	NOUN
cana-5492	273	13	in	in	ADP
cana-5492	273	14	𝕎.	𝕎.	PROPN
cana-5492	273	15	as	as	SCONJ
cana-5492	273	16	𝒢	𝒢	PROPN
cana-5492	273	17	is	be	AUX
cana-5492	273	18	nscontraδo	nscontraδo	ADJ
cana-5492	273	19	,	,	PUNCT
cana-5492	273	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	273	21	,	,	PUNCT
cana-5492	273	22	ϱ	ϱ	NOUN
cana-5492	273	23	)	)	PUNCT
cana-5492	273	24	is	be	AUX
cana-5492	273	25	a	a	DET
cana-5492	273	26	nsδcs	nsδcs	NOUN
cana-5492	273	27	in	in	ADP
cana-5492	273	28	𝕋.	𝕋.	NOUN
cana-5492	273	29	since	since	SCONJ
cana-5492	273	30	all	all	DET
cana-5492	273	31	nsδcs	nsδc	NOUN
cana-5492	273	32	are	be	AUX
cana-5492	273	33	nscs	nsc	NOUN
cana-5492	273	34	,	,	PUNCT
cana-5492	273	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	273	36	,	,	PUNCT
cana-5492	273	37	ϱ	ϱ	NOUN
cana-5492	273	38	)	)	PUNCT
cana-5492	273	39	is	be	AUX
cana-5492	273	40	nscs	nsc	VERB
cana-5492	273	41	in	in	ADP
cana-5492	273	42	𝕋.	𝕋.	NOUN
cana-5492	273	43	thus	thus	ADV
cana-5492	273	44	,	,	PUNCT
cana-5492	273	45	𝒢	𝒢	PROPN
cana-5492	273	46	is	be	AUX
cana-5492	273	47	a	a	DET
cana-5492	273	48	nscontrao	nscontrao	NOUN
cana-5492	273	49	.	.	PUNCT
cana-5492	274	1	(	(	PUNCT
cana-5492	274	2	b	b	X
cana-5492	274	3	)	)	PUNCT
cana-5492	274	4	let	let	NOUN
cana-5492	274	5	(	(	PUNCT
cana-5492	274	6	𝑆	𝑆	PROPN
cana-5492	274	7	,	,	PUNCT
cana-5492	274	8	ϱ	ϱ	PROPN
cana-5492	274	9	)	)	PUNCT
cana-5492	274	10	be	be	VERB
cana-5492	274	11	a	a	DET
cana-5492	274	12	nsos	nsos	NOUN
cana-5492	274	13	in	in	ADP
cana-5492	274	14	𝕎.	𝕎.	PROPN
cana-5492	274	15	as	as	SCONJ
cana-5492	274	16	𝒢	𝒢	PROPN
cana-5492	274	17	is	be	AUX
cana-5492	274	18	nscontrao	nscontrao	PROPN
cana-5492	274	19	,	,	PUNCT
cana-5492	274	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	274	21	,	,	PUNCT
cana-5492	274	22	ϱ	ϱ	NOUN
cana-5492	274	23	)	)	PUNCT
cana-5492	274	24	is	be	AUX
cana-5492	274	25	a	a	DET
cana-5492	274	26	nscs	nscs	NOUN
cana-5492	274	27	in	in	ADP
cana-5492	274	28	𝕋.	𝕋.	NOUN
cana-5492	274	29	since	since	SCONJ
cana-5492	274	30	all	all	DET
cana-5492	274	31	nscs	nsc	NOUN
cana-5492	274	32	are	be	AUX
cana-5492	274	33	nsδscs	nsδsc	NOUN
cana-5492	274	34	,	,	PUNCT
cana-5492	274	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	274	36	,	,	PUNCT
cana-5492	274	37	ϱ	ϱ	NOUN
cana-5492	274	38	)	)	PUNCT
cana-5492	274	39	is	be	AUX
cana-5492	274	40	a	a	DET
cana-5492	274	41	nsδscs	nsδsc	NOUN
cana-5492	274	42	in	in	ADP
cana-5492	274	43	𝕋.	𝕋.	NOUN
cana-5492	274	44	thus	thus	ADV
cana-5492	274	45	,	,	PUNCT
cana-5492	274	46	𝒢	𝒢	PROPN
cana-5492	274	47	is	be	AUX
cana-5492	274	48	a	a	DET
cana-5492	274	49	nscontraδso	nscontraδso	NOUN
cana-5492	274	50	.	.	PUNCT
cana-5492	275	1	(	(	PUNCT
cana-5492	275	2	c	c	X
cana-5492	275	3	)	)	PUNCT
cana-5492	275	4	let	let	NOUN
cana-5492	275	5	(	(	PUNCT
cana-5492	275	6	𝑆	𝑆	PROPN
cana-5492	275	7	,	,	PUNCT
cana-5492	275	8	ϱ	ϱ	PROPN
cana-5492	275	9	)	)	PUNCT
cana-5492	275	10	be	be	VERB
cana-5492	275	11	a	a	DET
cana-5492	275	12	nsos	nsos	NOUN
cana-5492	275	13	in	in	ADP
cana-5492	275	14	𝕎.	𝕎.	PROPN
cana-5492	275	15	as	as	SCONJ
cana-5492	275	16	𝒢	𝒢	PROPN
cana-5492	275	17	is	be	AUX
cana-5492	275	18	nscontrao	nscontrao	PROPN
cana-5492	275	19	,	,	PUNCT
cana-5492	275	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	275	21	,	,	PUNCT
cana-5492	275	22	ϱ	ϱ	NOUN
cana-5492	275	23	)	)	PUNCT
cana-5492	275	24	is	be	AUX
cana-5492	275	25	a	a	DET
cana-5492	275	26	nscs	nscs	NOUN
cana-5492	275	27	in	in	ADP
cana-5492	275	28	𝕋.	𝕋.	NOUN
cana-5492	275	29	since	since	SCONJ
cana-5492	275	30	all	all	DET
cana-5492	275	31	nscs	nsc	NOUN
cana-5492	275	32	are	be	AUX
cana-5492	275	33	nspcs	nspc	NOUN
cana-5492	275	34	,	,	PUNCT
cana-5492	275	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	275	36	,	,	PUNCT
cana-5492	275	37	ϱ	ϱ	NOUN
cana-5492	275	38	)	)	PUNCT
cana-5492	275	39	is	be	AUX
cana-5492	275	40	a	a	DET
cana-5492	275	41	nspcs	nspc	NOUN
cana-5492	275	42	in	in	ADP
cana-5492	275	43	𝕋.	𝕋.	NOUN
cana-5492	275	44	hence	hence	ADV
cana-5492	275	45	,	,	PUNCT
cana-5492	275	46	𝒢	𝒢	PROPN
cana-5492	275	47	is	be	AUX
cana-5492	275	48	a	a	DET
cana-5492	275	49	nscontrapo	nscontrapo	NOUN
cana-5492	275	50	.	.	PUNCT
cana-5492	276	1	(	(	PUNCT
cana-5492	276	2	d	d	X
cana-5492	276	3	)	)	PUNCT
cana-5492	276	4	let	let	VERB
cana-5492	276	5	(	(	PUNCT
cana-5492	276	6	𝑆	𝑆	PROPN
cana-5492	276	7	,	,	PUNCT
cana-5492	276	8	ϱ	ϱ	PROPN
cana-5492	276	9	)	)	PUNCT
cana-5492	276	10	be	be	VERB
cana-5492	276	11	a	a	DET
cana-5492	276	12	nsos	nsos	NOUN
cana-5492	276	13	in	in	ADP
cana-5492	276	14	𝕎.	𝕎.	PROPN
cana-5492	276	15	as	as	SCONJ
cana-5492	276	16	𝒢	𝒢	PROPN
cana-5492	276	17	is	be	AUX
cana-5492	276	18	nscontraδso	nscontraδso	PROPN
cana-5492	276	19	,	,	PUNCT
cana-5492	276	20	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	276	21	,	,	PUNCT
cana-5492	276	22	ϱ	ϱ	NOUN
cana-5492	276	23	)	)	PUNCT
cana-5492	276	24	is	be	AUX
cana-5492	276	25	a	a	DET
cana-5492	276	26	nsδscs	nsδsc	NOUN
cana-5492	276	27	in	in	ADP
cana-5492	276	28	𝕋.	𝕋.	NOUN
cana-5492	276	29	since	since	SCONJ
cana-5492	276	30	all	all	DET
cana-5492	276	31	nsδscs	nsδsc	NOUN
cana-5492	276	32	is	be	AUX
cana-5492	276	33	a	a	DET
cana-5492	276	34	nszcs	nszcs	NOUN
cana-5492	276	35	,	,	PUNCT
cana-5492	276	36	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	276	37	,	,	PUNCT
cana-5492	276	38	ϱ	ϱ	NOUN
cana-5492	276	39	)	)	PUNCT
cana-5492	276	40	is	be	AUX
cana-5492	276	41	a	a	DET
cana-5492	276	42	nszcs	nszcs	NOUN
cana-5492	276	43	in	in	ADP
cana-5492	276	44	𝕋.	𝕋.	NOUN
cana-5492	276	45	hence	hence	ADV
cana-5492	276	46	,	,	PUNCT
cana-5492	276	47	𝒢	𝒢	PROPN
cana-5492	276	48	is	be	AUX
cana-5492	276	49	a	a	DET
cana-5492	276	50	nscontrazo	nscontrazo	NOUN
cana-5492	276	51	.	.	PUNCT
cana-5492	277	1	(	(	PUNCT
cana-5492	277	2	e	e	X
cana-5492	277	3	)	)	PUNCT
cana-5492	277	4	let	let	VERB
cana-5492	277	5	(	(	PUNCT
cana-5492	277	6	𝑆	𝑆	PROPN
cana-5492	277	7	,	,	PUNCT
cana-5492	277	8	ϱ	ϱ	PROPN
cana-5492	277	9	)	)	PUNCT
cana-5492	277	10	be	be	VERB
cana-5492	277	11	a	a	DET
cana-5492	277	12	nsos	nsos	NOUN
cana-5492	277	13	in	in	ADP
cana-5492	277	14	𝕎.	𝕎.	PROPN
cana-5492	277	15	as	as	SCONJ
cana-5492	277	16	𝒢	𝒢	PROPN
cana-5492	277	17	is	be	AUX
cana-5492	277	18	nscontrapo	nscontrapo	PROPN
cana-5492	277	19	,	,	PUNCT
cana-5492	277	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	277	21	,	,	PUNCT
cana-5492	277	22	ϱ	ϱ	NOUN
cana-5492	277	23	)	)	PUNCT
cana-5492	277	24	is	be	AUX
cana-5492	277	25	a	a	DET
cana-5492	277	26	nspcs	nspc	NOUN
cana-5492	277	27	in	in	ADP
cana-5492	277	28	𝕋.	𝕋.	NOUN
cana-5492	277	29	since	since	SCONJ
cana-5492	277	30	all	all	DET
cana-5492	277	31	nspcs	nspc	NOUN
cana-5492	277	32	are	be	AUX
cana-5492	277	33	nszcs	nszcs	NOUN
cana-5492	277	34	,	,	PUNCT
cana-5492	277	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	277	36	,	,	PUNCT
cana-5492	277	37	ϱ	ϱ	NOUN
cana-5492	277	38	)	)	PUNCT
cana-5492	277	39	is	be	AUX
cana-5492	277	40	a	a	DET
cana-5492	277	41	nszcs	nszcs	NOUN
cana-5492	277	42	in	in	ADP
cana-5492	277	43	𝕋.	𝕋.	NOUN
cana-5492	277	44	hence	hence	ADV
cana-5492	277	45	,	,	PUNCT
cana-5492	277	46	𝒢	𝒢	PROPN
cana-5492	277	47	is	be	AUX
cana-5492	277	48	a	a	DET
cana-5492	277	49	nscontrazo	nscontrazo	NOUN
cana-5492	277	50	.	.	PUNCT
cana-5492	278	1	(	(	PUNCT
cana-5492	278	2	f	f	X
cana-5492	278	3	)	)	PUNCT
cana-5492	278	4	let	let	AUX
cana-5492	278	5	(	(	PUNCT
cana-5492	278	6	𝑆	𝑆	PROPN
cana-5492	278	7	,	,	PUNCT
cana-5492	278	8	ϱ	ϱ	PROPN
cana-5492	278	9	)	)	PUNCT
cana-5492	278	10	be	be	VERB
cana-5492	278	11	a	a	DET
cana-5492	278	12	nsos	nsos	NOUN
cana-5492	278	13	in	in	ADP
cana-5492	278	14	𝕎.	𝕎.	PROPN
cana-5492	278	15	as	as	SCONJ
cana-5492	278	16	𝒢	𝒢	PROPN
cana-5492	278	17	is	be	AUX
cana-5492	278	18	nscontrazo	nscontrazo	ADJ
cana-5492	278	19	,	,	PUNCT
cana-5492	278	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	278	21	,	,	PUNCT
cana-5492	278	22	ϱ	ϱ	NOUN
cana-5492	278	23	)	)	PUNCT
cana-5492	278	24	is	be	AUX
cana-5492	278	25	a	a	DET
cana-5492	278	26	nszcs	nszcs	NOUN
cana-5492	278	27	in	in	ADP
cana-5492	278	28	𝕋.	𝕋.	NOUN
cana-5492	278	29	since	since	SCONJ
cana-5492	278	30	all	all	DET
cana-5492	278	31	nszcs	nszcs	NOUN
cana-5492	278	32	is	be	AUX
cana-5492	278	33	a	a	DET
cana-5492	278	34	nsecs	nsec	NOUN
cana-5492	278	35	,	,	PUNCT
cana-5492	278	36	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	278	37	,	,	PUNCT
cana-5492	278	38	ϱ	ϱ	NOUN
cana-5492	278	39	)	)	PUNCT
cana-5492	278	40	is	be	AUX
cana-5492	278	41	a	a	DET
cana-5492	278	42	nsecs	nsec	NOUN
cana-5492	278	43	in	in	ADP
cana-5492	278	44	𝕋.	𝕋.	NOUN
cana-5492	278	45	hence	hence	ADV
cana-5492	278	46	,	,	PUNCT
cana-5492	278	47	𝒢	𝒢	PROPN
cana-5492	278	48	is	be	AUX
cana-5492	278	49	a	a	DET
cana-5492	278	50	nscontraeo	nscontraeo	NOUN
cana-5492	278	51	.	.	PUNCT
cana-5492	278	52	example	example	NOUN
cana-5492	278	53	5.1	5.1	NUM
cana-5492	278	54	let	let	VERB
cana-5492	278	55	𝕎	𝕎	PROPN
cana-5492	278	56	=	=	PRON
cana-5492	278	57	{	{	PUNCT
cana-5492	278	58	𝑤1	𝑤1	NOUN
cana-5492	278	59	,	,	PUNCT
cana-5492	278	60	𝑤2	𝑤2	NOUN
cana-5492	278	61	,	,	PUNCT
cana-5492	278	62	𝑤3	𝑤3	NOUN
cana-5492	278	63	}	}	PUNCT
cana-5492	278	64	=	=	SYM
cana-5492	278	65	{	{	PUNCT
cana-5492	278	66	𝑡1	𝑡1	NOUN
cana-5492	278	67	,	,	PUNCT
cana-5492	278	68	𝑡2	𝑡2	PROPN
cana-5492	278	69	,	,	PUNCT
cana-5492	278	70	𝑡3	𝑡3	PROPN
cana-5492	278	71	}	}	PUNCT
cana-5492	278	72	=	=	SYM
cana-5492	278	73	𝕋	𝕋	PROPN
cana-5492	278	74	,	,	PUNCT
cana-5492	278	75	ϱ	ϱ	NOUN
cana-5492	278	76	=	=	SYM
cana-5492	278	77	{	{	PUNCT
cana-5492	278	78	𝑒1	𝑒1	NOUN
cana-5492	278	79	,	,	PUNCT
cana-5492	278	80	𝑒2	𝑒2	NOUN
cana-5492	278	81	}	}	PUNCT
cana-5492	278	82	and	and	CCONJ
cana-5492	278	83	ns	ns	NUM
cana-5492	278	84	sets	set	NOUN
cana-5492	278	85	(	(	PUNCT
cana-5492	278	86	𝑉1	𝑉1	NOUN
cana-5492	278	87	,	,	PUNCT
cana-5492	278	88	ϱ	ϱ	NOUN
cana-5492	278	89	)	)	PUNCT
cana-5492	278	90	in	in	ADP
cana-5492	278	91	𝕎	𝕎	PROPN
cana-5492	278	92	and	and	CCONJ
cana-5492	278	93	(	(	PUNCT
cana-5492	278	94	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	278	95	)	)	PUNCT
cana-5492	278	96	,	,	PUNCT
cana-5492	278	97	(	(	PUNCT
cana-5492	278	98	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	278	99	)	)	PUNCT
cana-5492	278	100	,	,	PUNCT
cana-5492	278	101	(	(	PUNCT
cana-5492	278	102	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	278	103	)	)	PUNCT
cana-5492	278	104	and	and	CCONJ
cana-5492	278	105	(	(	PUNCT
cana-5492	278	106	𝑆4,ϱ	𝑆4,ϱ	X
cana-5492	278	107	)	)	PUNCT
cana-5492	278	108	in	in	ADP
cana-5492	278	109	𝕋	𝕋	PRON
cana-5492	278	110	are	be	AUX
cana-5492	278	111	defined	define	VERB
cana-5492	278	112	as	as	ADP
cana-5492	278	113	(	(	PUNCT
cana-5492	278	114	𝑉1	𝑉1	NOUN
cana-5492	278	115	,	,	PUNCT
cana-5492	278	116	𝑒1	𝑒1	NOUN
cana-5492	278	117	)	)	PUNCT
cana-5492	278	118	=	=	SYM
cana-5492	279	1	〈	〈	PROPN
cana-5492	279	2	(	(	PUNCT
cana-5492	279	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	279	4	,	,	PUNCT
cana-5492	279	5	0.6	0.6	NUM
cana-5492	279	6	,	,	PUNCT
cana-5492	279	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	279	8	0.5	0.5	NUM
cana-5492	279	9	,	,	PUNCT
cana-5492	279	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	279	11	0.5	0.5	NUM
cana-5492	279	12	)	)	PUNCT
cana-5492	279	13	,	,	PUNCT
cana-5492	279	14	(	(	PUNCT
cana-5492	279	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	279	16	0.5	0.5	NUM
cana-5492	279	17	,	,	PUNCT
cana-5492	279	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	279	19	0.5	0.5	NUM
cana-5492	279	20	,	,	PUNCT
cana-5492	279	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	279	22	0.5	0.5	NUM
cana-5492	279	23	)	)	PUNCT
cana-5492	279	24	,	,	PUNCT
cana-5492	279	25	(	(	PUNCT
cana-5492	279	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	279	27	0.6	0.6	NUM
cana-5492	279	28	,	,	PUNCT
cana-5492	279	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	279	30	0.5	0.5	NUM
cana-5492	279	31	,	,	PUNCT
cana-5492	279	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	279	33	0.6	0.6	NUM
cana-5492	279	34	)	)	PUNCT
cana-5492	279	35	〉	〉	NOUN
cana-5492	279	36	(	(	PUNCT
cana-5492	279	37	𝑉1	𝑉1	PROPN
cana-5492	279	38	,	,	PUNCT
cana-5492	279	39	𝑒2	𝑒2	NOUN
cana-5492	279	40	)	)	PUNCT
cana-5492	279	41	=	=	PUNCT
cana-5492	280	1	〈	〈	PROPN
cana-5492	280	2	(	(	PUNCT
cana-5492	280	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	280	4	,	,	PUNCT
cana-5492	280	5	0.6	0.6	NUM
cana-5492	280	6	,	,	PUNCT
cana-5492	280	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	280	8	0.4	0.4	NUM
cana-5492	280	9	,	,	PUNCT
cana-5492	280	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	280	11	0.4	0.4	NUM
cana-5492	280	12	)	)	PUNCT
cana-5492	280	13	,	,	PUNCT
cana-5492	280	14	(	(	PUNCT
cana-5492	280	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	280	16	0.7	0.7	NUM
cana-5492	280	17	,	,	PUNCT
cana-5492	280	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	280	19	0.5	0.5	NUM
cana-5492	280	20	,	,	PUNCT
cana-5492	280	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	280	22	0.3	0.3	NUM
cana-5492	280	23	)	)	PUNCT
cana-5492	280	24	,	,	PUNCT
cana-5492	280	25	(	(	PUNCT
cana-5492	280	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	280	27	0.4	0.4	NUM
cana-5492	280	28	,	,	PUNCT
cana-5492	280	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	280	30	0.3	0.3	NUM
cana-5492	280	31	,	,	PUNCT
cana-5492	280	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	280	33	0.3	0.3	NUM
cana-5492	280	34	)	)	PUNCT
cana-5492	280	35	〉	〉	NOUN
cana-5492	280	36	(	(	PUNCT
cana-5492	280	37	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	280	38	)	)	PUNCT
cana-5492	280	39	=	=	SYM
cana-5492	281	1	〈	〈	PROPN
cana-5492	281	2	(	(	PUNCT
cana-5492	281	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	281	4	,	,	PUNCT
cana-5492	281	5	0.4	0.4	NUM
cana-5492	281	6	,	,	PUNCT
cana-5492	281	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	281	8	0.5	0.5	NUM
cana-5492	281	9	,	,	PUNCT
cana-5492	281	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	281	11	0.6	0.6	NUM
cana-5492	281	12	)	)	PUNCT
cana-5492	281	13	,	,	PUNCT
cana-5492	281	14	(	(	PUNCT
cana-5492	281	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	281	16	0.5	0.5	NUM
cana-5492	281	17	,	,	PUNCT
cana-5492	281	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	281	19	0.4	0.4	NUM
cana-5492	281	20	,	,	PUNCT
cana-5492	281	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	281	22	0.8	0.8	NUM
cana-5492	281	23	)	)	PUNCT
cana-5492	281	24	,	,	PUNCT
cana-5492	281	25	(	(	PUNCT
cana-5492	281	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	281	27	0.4	0.4	NUM
cana-5492	281	28	,	,	PUNCT
cana-5492	281	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	281	30	0.5	0.5	NUM
cana-5492	281	31	,	,	PUNCT
cana-5492	281	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	281	33	0.7	0.7	NUM
cana-5492	281	34	)	)	PUNCT
cana-5492	281	35	〉	〉	NOUN
cana-5492	281	36	(	(	PUNCT
cana-5492	281	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	281	38	)	)	PUNCT
cana-5492	281	39	=	=	SYM
cana-5492	281	40	〈	〈	PROPN
cana-5492	281	41	(	(	PUNCT
cana-5492	281	42	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	281	43	,	,	PUNCT
cana-5492	281	44	0.2	0.2	NUM
cana-5492	281	45	,	,	PUNCT
cana-5492	281	46	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	281	47	0.4	0.4	NUM
cana-5492	281	48	,	,	PUNCT
cana-5492	281	49	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	281	50	0.6	0.6	NUM
cana-5492	281	51	)	)	PUNCT
cana-5492	281	52	,	,	PUNCT
cana-5492	281	53	(	(	PUNCT
cana-5492	281	54	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	281	55	0.2	0.2	NUM
cana-5492	281	56	,	,	PUNCT
cana-5492	281	57	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	281	58	0.5	0.5	NUM
cana-5492	281	59	,	,	PUNCT
cana-5492	281	60	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	281	61	0.7	0.7	NUM
cana-5492	281	62	)	)	PUNCT
cana-5492	281	63	,	,	PUNCT
cana-5492	281	64	(	(	PUNCT
cana-5492	281	65	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	281	66	0.2	0.2	NUM
cana-5492	281	67	,	,	PUNCT
cana-5492	281	68	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	281	69	0.5	0.5	NUM
cana-5492	281	70	,	,	PUNCT
cana-5492	281	71	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	281	72	0.8	0.8	NUM
cana-5492	281	73	)	)	PUNCT
cana-5492	281	74	〉	〉	NOUN
cana-5492	281	75	(	(	PUNCT
cana-5492	281	76	𝑆2	𝑆2	PROPN
cana-5492	281	77	,	,	PUNCT
cana-5492	281	78	𝑒1	𝑒1	NOUN
cana-5492	281	79	)	)	PUNCT
cana-5492	281	80	=	=	SYM
cana-5492	282	1	〈	〈	PROPN
cana-5492	282	2	(	(	PUNCT
cana-5492	282	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	282	4	,	,	PUNCT
cana-5492	282	5	0.5	0.5	NUM
cana-5492	282	6	,	,	PUNCT
cana-5492	282	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	282	8	0.5	0.5	NUM
cana-5492	282	9	,	,	PUNCT
cana-5492	282	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	282	11	0.6	0.6	NUM
cana-5492	282	12	)	)	PUNCT
cana-5492	282	13	,	,	PUNCT
cana-5492	282	14	(	(	PUNCT
cana-5492	282	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	282	16	0.5	0.5	NUM
cana-5492	282	17	,	,	PUNCT
cana-5492	282	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	282	19	0.5	0.5	NUM
cana-5492	282	20	,	,	PUNCT
cana-5492	282	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	282	22	0.5	0.5	NUM
cana-5492	282	23	)	)	PUNCT
cana-5492	282	24	,	,	PUNCT
cana-5492	282	25	(	(	PUNCT
cana-5492	282	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	282	27	0.6	0.6	NUM
cana-5492	282	28	,	,	PUNCT
cana-5492	282	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	282	30	0.5	0.5	NUM
cana-5492	282	31	,	,	PUNCT
cana-5492	282	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	282	33	0.6	0.6	NUM
cana-5492	282	34	)	)	PUNCT
cana-5492	282	35	〉	〉	NOUN
cana-5492	282	36	(	(	PUNCT
cana-5492	282	37	𝑆2	𝑆2	PROPN
cana-5492	282	38	,	,	PUNCT
cana-5492	282	39	𝑒2	𝑒2	PROPN
cana-5492	282	40	)	)	PUNCT
cana-5492	282	41	=	=	PUNCT
cana-5492	283	1	〈	〈	PROPN
cana-5492	283	2	(	(	PUNCT
cana-5492	283	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	283	4	,	,	PUNCT
cana-5492	283	5	0.4	0.4	NUM
cana-5492	283	6	,	,	PUNCT
cana-5492	283	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	283	8	0.6	0.6	NUM
cana-5492	283	9	,	,	PUNCT
cana-5492	283	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	283	11	0.6	0.6	NUM
cana-5492	283	12	)	)	PUNCT
cana-5492	283	13	,	,	PUNCT
cana-5492	283	14	(	(	PUNCT
cana-5492	283	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	283	16	0.3	0.3	NUM
cana-5492	283	17	,	,	PUNCT
cana-5492	283	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	283	19	0.5	0.5	NUM
cana-5492	283	20	,	,	PUNCT
cana-5492	283	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	283	22	0.7	0.7	NUM
cana-5492	283	23	)	)	PUNCT
cana-5492	283	24	,	,	PUNCT
cana-5492	283	25	(	(	PUNCT
cana-5492	283	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	283	27	0.3	0.3	NUM
cana-5492	283	28	,	,	PUNCT
cana-5492	283	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	283	30	0.7	0.7	NUM
cana-5492	283	31	,	,	PUNCT
cana-5492	283	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	283	33	0.4	0.4	NUM
cana-5492	283	34	)	)	PUNCT
cana-5492	283	35	〉	〉	NOUN
cana-5492	283	36	(	(	PUNCT
cana-5492	283	37	𝑆3	𝑆3	PROPN
cana-5492	283	38	,	,	PUNCT
cana-5492	283	39	𝑒1	𝑒1	NOUN
cana-5492	283	40	)	)	PUNCT
cana-5492	283	41	=	=	SYM
cana-5492	284	1	〈	〈	PROPN
cana-5492	284	2	(	(	PUNCT
cana-5492	284	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	284	4	,	,	PUNCT
cana-5492	284	5	0.3	0.3	NUM
cana-5492	284	6	,	,	PUNCT
cana-5492	284	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	284	8	0.4	0.4	NUM
cana-5492	284	9	,	,	PUNCT
cana-5492	284	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	284	11	0.7	0.7	NUM
cana-5492	284	12	)	)	PUNCT
cana-5492	284	13	,	,	PUNCT
cana-5492	284	14	(	(	PUNCT
cana-5492	284	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	284	16	0.1	0.1	NUM
cana-5492	284	17	,	,	PUNCT
cana-5492	284	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	284	19	0.3	0.3	NUM
cana-5492	284	20	,	,	PUNCT
cana-5492	284	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	284	22	0.8	0.8	NUM
cana-5492	284	23	)	)	PUNCT
cana-5492	284	24	,	,	PUNCT
cana-5492	284	25	(	(	PUNCT
cana-5492	284	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	284	27	0.2	0.2	NUM
cana-5492	284	28	,	,	PUNCT
cana-5492	284	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	284	30	0.3	0.3	NUM
cana-5492	284	31	,	,	PUNCT
cana-5492	284	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	284	33	0.8	0.8	NUM
cana-5492	284	34	)	)	PUNCT
cana-5492	284	35	〉	〉	NOUN
cana-5492	284	36	(	(	PUNCT
cana-5492	284	37	𝑆3	𝑆3	PROPN
cana-5492	284	38	,	,	PUNCT
cana-5492	284	39	𝑒2	𝑒2	PROPN
cana-5492	284	40	)	)	PUNCT
cana-5492	284	41	=	=	PUNCT
cana-5492	285	1	〈	〈	PROPN
cana-5492	285	2	(	(	PUNCT
cana-5492	285	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	285	4	,	,	PUNCT
cana-5492	285	5	0.1	0.1	NUM
cana-5492	285	6	,	,	PUNCT
cana-5492	285	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	285	8	0.3	0.3	NUM
cana-5492	285	9	,	,	PUNCT
cana-5492	285	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	285	11	0.7	0.7	NUM
cana-5492	285	12	)	)	PUNCT
cana-5492	285	13	,	,	PUNCT
cana-5492	285	14	(	(	PUNCT
cana-5492	285	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	285	16	0.1	0.1	NUM
cana-5492	285	17	,	,	PUNCT
cana-5492	285	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	285	19	0.5	0.5	NUM
cana-5492	285	20	,	,	PUNCT
cana-5492	285	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	285	22	0.8	0.8	NUM
cana-5492	285	23	)	)	PUNCT
cana-5492	285	24	,	,	PUNCT
cana-5492	285	25	(	(	PUNCT
cana-5492	285	26	𝜇𝑡3	𝜇𝑡3	NOUN
cana-5492	285	27	0.1	0.1	NUM
cana-5492	285	28	,	,	PUNCT
cana-5492	285	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	285	30	0.5	0.5	NUM
cana-5492	285	31	,	,	PUNCT
cana-5492	285	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	285	33	0.9	0.9	NUM
cana-5492	285	34	)	)	PUNCT
cana-5492	285	35	〉	〉	NOUN
cana-5492	285	36	(	(	PUNCT
cana-5492	285	37	𝑆4	𝑆4	PROPN
cana-5492	285	38	,	,	PUNCT
cana-5492	285	39	𝑒1	𝑒1	NOUN
cana-5492	285	40	)	)	PUNCT
cana-5492	285	41	=	=	SYM
cana-5492	286	1	〈	〈	PROPN
cana-5492	286	2	(	(	PUNCT
cana-5492	286	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	286	4	,	,	PUNCT
cana-5492	286	5	0.6	0.6	NUM
cana-5492	286	6	,	,	PUNCT
cana-5492	286	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	286	8	0.5	0.5	NUM
cana-5492	286	9	,	,	PUNCT
cana-5492	286	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	286	11	0.5	0.5	NUM
cana-5492	286	12	)	)	PUNCT
cana-5492	286	13	,	,	PUNCT
cana-5492	286	14	(	(	PUNCT
cana-5492	286	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	286	16	0.5	0.5	NUM
cana-5492	286	17	,	,	PUNCT
cana-5492	286	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	286	19	0.5	0.5	NUM
cana-5492	286	20	,	,	PUNCT
cana-5492	286	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	286	22	0.5	0.5	NUM
cana-5492	286	23	)	)	PUNCT
cana-5492	286	24	,	,	PUNCT
cana-5492	286	25	(	(	PUNCT
cana-5492	286	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	286	27	0.6	0.6	NUM
cana-5492	286	28	,	,	PUNCT
cana-5492	286	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	286	30	0.5	0.5	NUM
cana-5492	286	31	,	,	PUNCT
cana-5492	286	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	286	33	0.6	0.6	NUM
cana-5492	286	34	)	)	PUNCT
cana-5492	286	35	〉	〉	NOUN
cana-5492	286	36	communications	communication	NOUN
cana-5492	286	37	on	on	ADP
cana-5492	286	38	applied	apply	VERB
cana-5492	286	39	nonlinear	nonlinear	ADJ
cana-5492	286	40	analysis	analysis	NOUN
cana-5492	286	41	issn	issn	NOUN
cana-5492	286	42	:	:	PUNCT
cana-5492	286	43	1074	1074	NUM
cana-5492	286	44	-	-	PUNCT
cana-5492	286	45	133x	133x	NUM
cana-5492	286	46	vol	vol	VERB
cana-5492	286	47	32	32	NUM
cana-5492	286	48	no	no	NOUN
cana-5492	286	49	.	.	PUNCT
cana-5492	287	1	10s	10	NOUN
cana-5492	287	2	(	(	PUNCT
cana-5492	287	3	2025	2025	NUM
cana-5492	287	4	)	)	PUNCT
cana-5492	287	5	2454	2454	NUM
cana-5492	287	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	287	7	(	(	PUNCT
cana-5492	287	8	𝑆4	𝑆4	PROPN
cana-5492	287	9	,	,	PUNCT
cana-5492	287	10	𝑒2	𝑒2	PROPN
cana-5492	287	11	)	)	PUNCT
cana-5492	287	12	=	=	PUNCT
cana-5492	288	1	〈	〈	PROPN
cana-5492	288	2	(	(	PUNCT
cana-5492	288	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	288	4	,	,	PUNCT
cana-5492	288	5	0.6	0.6	NUM
cana-5492	288	6	,	,	PUNCT
cana-5492	288	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	288	8	0.4	0.4	NUM
cana-5492	288	9	,	,	PUNCT
cana-5492	288	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	288	11	0.4	0.4	NUM
cana-5492	288	12	)	)	PUNCT
cana-5492	288	13	,	,	PUNCT
cana-5492	288	14	(	(	PUNCT
cana-5492	288	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	288	16	0.7	0.7	NUM
cana-5492	288	17	,	,	PUNCT
cana-5492	288	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	288	19	0.5	0.5	NUM
cana-5492	288	20	,	,	PUNCT
cana-5492	288	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	288	22	0.3	0.3	NUM
cana-5492	288	23	)	)	PUNCT
cana-5492	288	24	,	,	PUNCT
cana-5492	288	25	(	(	PUNCT
cana-5492	288	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	288	27	0.4	0.4	NUM
cana-5492	288	28	,	,	PUNCT
cana-5492	288	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	288	30	0.3	0.3	NUM
cana-5492	288	31	,	,	PUNCT
cana-5492	288	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	288	33	0.3	0.3	NUM
cana-5492	288	34	)	)	PUNCT
cana-5492	288	35	〉	〉	NOUN
cana-5492	288	36	then	then	ADV
cana-5492	288	37	,	,	PUNCT
cana-5492	288	38	we	we	PRON
cana-5492	288	39	have	have	VERB
cana-5492	288	40	τ	τ	X
cana-5492	288	41	=	=	X
cana-5492	288	42	{	{	PUNCT
cana-5492	288	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	288	44	)	)	PUNCT
cana-5492	288	45	,	,	PUNCT
cana-5492	288	46	1(𝕎	1(𝕎	INTJ
cana-5492	288	47	,	,	PUNCT
cana-5492	288	48	𝜚	𝜚	NOUN
cana-5492	288	49	)	)	PUNCT
cana-5492	288	50	,	,	PUNCT
cana-5492	288	51	(	(	PUNCT
cana-5492	288	52	𝑉1	𝑉1	NOUN
cana-5492	288	53	,	,	PUNCT
cana-5492	288	54	ϱ	ϱ	NOUN
cana-5492	288	55	)	)	PUNCT
cana-5492	288	56	}	}	PUNCT
cana-5492	288	57	and	and	CCONJ
cana-5492	288	58	𝜎	𝜎	X
cana-5492	288	59	=	=	X
cana-5492	288	60	{	{	PUNCT
cana-5492	288	61	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	288	62	)	)	PUNCT
cana-5492	288	63	,	,	PUNCT
cana-5492	288	64	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	288	65	)	)	PUNCT
cana-5492	288	66	,	,	PUNCT
cana-5492	288	67	(	(	PUNCT
cana-5492	288	68	𝑆1	𝑆1	PROPN
cana-5492	288	69	,	,	PUNCT
cana-5492	288	70	ϱ	ϱ	NOUN
cana-5492	288	71	)	)	PUNCT
cana-5492	288	72	,	,	PUNCT
cana-5492	288	73	(	(	PUNCT
cana-5492	288	74	𝑆2	𝑆2	PROPN
cana-5492	288	75	,	,	PUNCT
cana-5492	288	76	ϱ	ϱ	NOUN
cana-5492	288	77	)	)	PUNCT
cana-5492	288	78	,	,	PUNCT
cana-5492	288	79	(	(	PUNCT
cana-5492	288	80	𝑆3	𝑆3	PROPN
cana-5492	288	81	,	,	PUNCT
cana-5492	288	82	ϱ	ϱ	NOUN
cana-5492	288	83	)	)	PUNCT
cana-5492	288	84	}	}	PUNCT
cana-5492	288	85	.	.	PUNCT
cana-5492	289	1	let	let	VERB
cana-5492	289	2	𝒢	𝒢	PROPN
cana-5492	289	3	∶	∶	NOUN
cana-5492	289	4	(	(	PUNCT
cana-5492	289	5	𝕎	𝕎	PROPN
cana-5492	289	6	,	,	PUNCT
cana-5492	289	7	τ	τ	PROPN
cana-5492	289	8	,	,	PUNCT
cana-5492	289	9	ϱ	ϱ	PROPN
cana-5492	289	10	)	)	PUNCT
cana-5492	289	11	→	→	SYM
cana-5492	289	12	(	(	PUNCT
cana-5492	289	13	𝕋	𝕋	PROPN
cana-5492	289	14	,	,	PUNCT
cana-5492	289	15	σ	σ	PROPN
cana-5492	289	16	,	,	PUNCT
cana-5492	289	17	ϱ	ϱ	NOUN
cana-5492	289	18	)	)	PUNCT
cana-5492	289	19	be	be	VERB
cana-5492	289	20	an	an	DET
cana-5492	289	21	identity	identity	NOUN
cana-5492	289	22	mapping	mapping	NOUN
cana-5492	289	23	,	,	PUNCT
cana-5492	289	24	then	then	ADV
cana-5492	289	25	𝒢	𝒢	PROPN
cana-5492	289	26	is	be	AUX
cana-5492	289	27	a	a	DET
cana-5492	289	28	nscontrao	nscontrao	NOUN
cana-5492	289	29	but	but	CCONJ
cana-5492	289	30	not	not	PART
cana-5492	289	31	nscontraδo	nscontraδo	ADJ
cana-5492	289	32	,	,	PUNCT
cana-5492	289	33	because	because	SCONJ
cana-5492	289	34	the	the	DET
cana-5492	289	35	set	set	NOUN
cana-5492	289	36	𝒢	𝒢	PROPN
cana-5492	289	37	(	(	PUNCT
cana-5492	289	38	𝑉1	𝑉1	PROPN
cana-5492	289	39	,	,	PUNCT
cana-5492	289	40	ϱ	ϱ	NOUN
cana-5492	289	41	)	)	PUNCT
cana-5492	289	42	=	=	SYM
cana-5492	289	43	(	(	PUNCT
cana-5492	289	44	𝑆4	𝑆4	PROPN
cana-5492	289	45	,	,	PUNCT
cana-5492	289	46	ϱ	ϱ	NOUN
cana-5492	289	47	)	)	PUNCT
cana-5492	289	48	is	be	AUX
cana-5492	289	49	a	a	DET
cana-5492	289	50	nscs	nscs	ADJ
cana-5492	289	51	but	but	CCONJ
cana-5492	289	52	not	not	PART
cana-5492	289	53	nsδcs	nsδcs	NOUN
cana-5492	289	54	.	.	PUNCT
cana-5492	289	55	example	example	NOUN
cana-5492	289	56	5.2	5.2	NUM
cana-5492	289	57	let	let	VERB
cana-5492	289	58	𝕎	𝕎	PROPN
cana-5492	289	59	=	=	PRON
cana-5492	289	60	{	{	PUNCT
cana-5492	289	61	𝑤1	𝑤1	NOUN
cana-5492	289	62	,	,	PUNCT
cana-5492	289	63	𝑤2	𝑤2	NOUN
cana-5492	289	64	,	,	PUNCT
cana-5492	289	65	𝑤3	𝑤3	NOUN
cana-5492	289	66	}	}	PUNCT
cana-5492	289	67	=	=	SYM
cana-5492	289	68	{	{	PUNCT
cana-5492	289	69	𝑡1	𝑡1	NOUN
cana-5492	289	70	,	,	PUNCT
cana-5492	289	71	𝑡2	𝑡2	PROPN
cana-5492	289	72	,	,	PUNCT
cana-5492	289	73	𝑡3	𝑡3	PROPN
cana-5492	289	74	}	}	PUNCT
cana-5492	289	75	=	=	SYM
cana-5492	289	76	𝕋	𝕋	PROPN
cana-5492	289	77	,	,	PUNCT
cana-5492	289	78	ϱ	ϱ	NOUN
cana-5492	289	79	=	=	SYM
cana-5492	289	80	{	{	PUNCT
cana-5492	289	81	𝑒1	𝑒1	NOUN
cana-5492	289	82	,	,	PUNCT
cana-5492	289	83	𝑒2	𝑒2	NOUN
cana-5492	289	84	}	}	PUNCT
cana-5492	289	85	and	and	CCONJ
cana-5492	289	86	ns	ns	NUM
cana-5492	289	87	sets	set	NOUN
cana-5492	289	88	(	(	PUNCT
cana-5492	289	89	𝑉1	𝑉1	NOUN
cana-5492	289	90	,	,	PUNCT
cana-5492	289	91	ϱ	ϱ	NOUN
cana-5492	289	92	)	)	PUNCT
cana-5492	289	93	in	in	ADP
cana-5492	289	94	𝕎	𝕎	PROPN
cana-5492	289	95	and	and	CCONJ
cana-5492	289	96	(	(	PUNCT
cana-5492	289	97	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	289	98	)	)	PUNCT
cana-5492	289	99	,	,	PUNCT
cana-5492	289	100	(	(	PUNCT
cana-5492	289	101	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	289	102	)	)	PUNCT
cana-5492	289	103	,	,	PUNCT
cana-5492	289	104	(	(	PUNCT
cana-5492	289	105	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	289	106	)	)	PUNCT
cana-5492	289	107	and	and	CCONJ
cana-5492	289	108	(	(	PUNCT
cana-5492	289	109	𝑆4,ϱ	𝑆4,ϱ	X
cana-5492	289	110	)	)	PUNCT
cana-5492	289	111	in	in	ADP
cana-5492	289	112	𝕋	𝕋	PRON
cana-5492	289	113	are	be	AUX
cana-5492	289	114	defined	define	VERB
cana-5492	289	115	as	as	ADP
cana-5492	289	116	(	(	PUNCT
cana-5492	289	117	𝑉1	𝑉1	NOUN
cana-5492	289	118	,	,	PUNCT
cana-5492	289	119	𝑒1	𝑒1	NOUN
cana-5492	289	120	)	)	PUNCT
cana-5492	289	121	=	=	SYM
cana-5492	289	122	〈	〈	PROPN
cana-5492	289	123	(	(	PUNCT
cana-5492	289	124	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	289	125	,	,	PUNCT
cana-5492	289	126	0.7	0.7	NUM
cana-5492	289	127	,	,	PUNCT
cana-5492	289	128	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	289	129	0.5	0.5	NUM
cana-5492	289	130	,	,	PUNCT
cana-5492	289	131	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	289	132	0.2	0.2	NUM
cana-5492	289	133	)	)	PUNCT
cana-5492	289	134	,	,	PUNCT
cana-5492	289	135	(	(	PUNCT
cana-5492	289	136	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	289	137	0.8	0.8	NUM
cana-5492	289	138	,	,	PUNCT
cana-5492	289	139	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	289	140	0.6	0.6	NUM
cana-5492	289	141	,	,	PUNCT
cana-5492	289	142	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	289	143	0.4	0.4	NUM
cana-5492	289	144	)	)	PUNCT
cana-5492	289	145	,	,	PUNCT
cana-5492	289	146	(	(	PUNCT
cana-5492	289	147	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	289	148	0.7	0.7	NUM
cana-5492	289	149	,	,	PUNCT
cana-5492	289	150	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	289	151	0.8	0.8	NUM
cana-5492	289	152	,	,	PUNCT
cana-5492	289	153	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	289	154	0.3	0.3	NUM
cana-5492	289	155	)	)	PUNCT
cana-5492	289	156	〉	〉	NOUN
cana-5492	289	157	(	(	PUNCT
cana-5492	289	158	𝑉1	𝑉1	PROPN
cana-5492	289	159	,	,	PUNCT
cana-5492	289	160	𝑒2	𝑒2	NOUN
cana-5492	289	161	)	)	PUNCT
cana-5492	289	162	=	=	PUNCT
cana-5492	289	163	〈	〈	PROPN
cana-5492	289	164	(	(	PUNCT
cana-5492	289	165	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	289	166	,	,	PUNCT
cana-5492	289	167	0.7	0.7	NUM
cana-5492	289	168	,	,	PUNCT
cana-5492	289	169	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	289	170	0.6	0.6	NUM
cana-5492	289	171	,	,	PUNCT
cana-5492	289	172	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	289	173	0.2	0.2	NUM
cana-5492	289	174	)	)	PUNCT
cana-5492	289	175	,	,	PUNCT
cana-5492	289	176	(	(	PUNCT
cana-5492	289	177	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	289	178	0.7	0.7	NUM
cana-5492	289	179	,	,	PUNCT
cana-5492	289	180	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	289	181	0.5	0.5	NUM
cana-5492	289	182	,	,	PUNCT
cana-5492	289	183	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	289	184	0.2	0.2	NUM
cana-5492	289	185	)	)	PUNCT
cana-5492	289	186	,	,	PUNCT
cana-5492	289	187	(	(	PUNCT
cana-5492	289	188	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	289	189	0.9	0.9	NUM
cana-5492	289	190	,	,	PUNCT
cana-5492	289	191	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	289	192	0.6	0.6	NUM
cana-5492	289	193	,	,	PUNCT
cana-5492	289	194	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	289	195	0.2	0.2	NUM
cana-5492	289	196	)	)	PUNCT
cana-5492	289	197	〉	〉	NOUN
cana-5492	289	198	(	(	PUNCT
cana-5492	289	199	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	289	200	)	)	PUNCT
cana-5492	289	201	=	=	SYM
cana-5492	290	1	〈	〈	PROPN
cana-5492	290	2	(	(	PUNCT
cana-5492	290	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	290	4	,	,	PUNCT
cana-5492	290	5	0.4	0.4	NUM
cana-5492	290	6	,	,	PUNCT
cana-5492	290	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	290	8	0.5	0.5	NUM
cana-5492	290	9	,	,	PUNCT
cana-5492	290	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	290	11	0.6	0.6	NUM
cana-5492	290	12	)	)	PUNCT
cana-5492	290	13	,	,	PUNCT
cana-5492	290	14	(	(	PUNCT
cana-5492	290	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	290	16	0.5	0.5	NUM
cana-5492	290	17	,	,	PUNCT
cana-5492	290	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	290	19	0.4	0.4	NUM
cana-5492	290	20	,	,	PUNCT
cana-5492	290	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	290	22	0.8	0.8	NUM
cana-5492	290	23	)	)	PUNCT
cana-5492	290	24	,	,	PUNCT
cana-5492	290	25	(	(	PUNCT
cana-5492	290	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	290	27	0.4	0.4	NUM
cana-5492	290	28	,	,	PUNCT
cana-5492	290	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	290	30	0.5	0.5	NUM
cana-5492	290	31	,	,	PUNCT
cana-5492	290	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	290	33	0.7	0.7	NUM
cana-5492	290	34	)	)	PUNCT
cana-5492	290	35	〉	〉	NOUN
cana-5492	290	36	(	(	PUNCT
cana-5492	290	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	290	38	)	)	PUNCT
cana-5492	290	39	=	=	SYM
cana-5492	290	40	〈	〈	PROPN
cana-5492	290	41	(	(	PUNCT
cana-5492	290	42	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	290	43	,	,	PUNCT
cana-5492	290	44	0.2	0.2	NUM
cana-5492	290	45	,	,	PUNCT
cana-5492	290	46	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	290	47	0.4	0.4	NUM
cana-5492	290	48	,	,	PUNCT
cana-5492	290	49	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	290	50	0.6	0.6	NUM
cana-5492	290	51	)	)	PUNCT
cana-5492	290	52	,	,	PUNCT
cana-5492	290	53	(	(	PUNCT
cana-5492	290	54	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	290	55	0.2	0.2	NUM
cana-5492	290	56	,	,	PUNCT
cana-5492	290	57	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	290	58	0.5	0.5	NUM
cana-5492	290	59	,	,	PUNCT
cana-5492	290	60	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	290	61	0.7	0.7	NUM
cana-5492	290	62	)	)	PUNCT
cana-5492	290	63	,	,	PUNCT
cana-5492	290	64	(	(	PUNCT
cana-5492	290	65	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	290	66	0.2	0.2	NUM
cana-5492	290	67	,	,	PUNCT
cana-5492	290	68	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	290	69	0.5	0.5	NUM
cana-5492	290	70	,	,	PUNCT
cana-5492	290	71	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	290	72	0.8	0.8	NUM
cana-5492	290	73	)	)	PUNCT
cana-5492	290	74	〉	〉	NOUN
cana-5492	290	75	(	(	PUNCT
cana-5492	290	76	𝑆2	𝑆2	PROPN
cana-5492	290	77	,	,	PUNCT
cana-5492	290	78	𝑒1	𝑒1	NOUN
cana-5492	290	79	)	)	PUNCT
cana-5492	290	80	=	=	SYM
cana-5492	291	1	〈	〈	PROPN
cana-5492	291	2	(	(	PUNCT
cana-5492	291	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	291	4	,	,	PUNCT
cana-5492	291	5	0.5	0.5	NUM
cana-5492	291	6	,	,	PUNCT
cana-5492	291	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	291	8	0.5	0.5	NUM
cana-5492	291	9	,	,	PUNCT
cana-5492	291	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	291	11	0.6	0.6	NUM
cana-5492	291	12	)	)	PUNCT
cana-5492	291	13	,	,	PUNCT
cana-5492	291	14	(	(	PUNCT
cana-5492	291	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	291	16	0.5	0.5	NUM
cana-5492	291	17	,	,	PUNCT
cana-5492	291	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	291	19	0.5	0.5	NUM
cana-5492	291	20	,	,	PUNCT
cana-5492	291	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	291	22	0.5	0.5	NUM
cana-5492	291	23	)	)	PUNCT
cana-5492	291	24	,	,	PUNCT
cana-5492	291	25	(	(	PUNCT
cana-5492	291	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	291	27	0.6	0.6	NUM
cana-5492	291	28	,	,	PUNCT
cana-5492	291	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	291	30	0.5	0.5	NUM
cana-5492	291	31	,	,	PUNCT
cana-5492	291	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	291	33	0.6	0.6	NUM
cana-5492	291	34	)	)	PUNCT
cana-5492	291	35	〉	〉	NOUN
cana-5492	291	36	(	(	PUNCT
cana-5492	291	37	𝑆2	𝑆2	PROPN
cana-5492	291	38	,	,	PUNCT
cana-5492	291	39	𝑒2	𝑒2	PROPN
cana-5492	291	40	)	)	PUNCT
cana-5492	291	41	=	=	PUNCT
cana-5492	292	1	〈	〈	PROPN
cana-5492	292	2	(	(	PUNCT
cana-5492	292	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	292	4	,	,	PUNCT
cana-5492	292	5	0.4	0.4	NUM
cana-5492	292	6	,	,	PUNCT
cana-5492	292	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	292	8	0.6	0.6	NUM
cana-5492	292	9	,	,	PUNCT
cana-5492	292	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	292	11	0.6	0.6	NUM
cana-5492	292	12	)	)	PUNCT
cana-5492	292	13	,	,	PUNCT
cana-5492	292	14	(	(	PUNCT
cana-5492	292	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	292	16	0.3	0.3	NUM
cana-5492	292	17	,	,	PUNCT
cana-5492	292	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	292	19	0.5	0.5	NUM
cana-5492	292	20	,	,	PUNCT
cana-5492	292	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	292	22	0.7	0.7	NUM
cana-5492	292	23	)	)	PUNCT
cana-5492	292	24	,	,	PUNCT
cana-5492	292	25	(	(	PUNCT
cana-5492	292	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	292	27	0.3	0.3	NUM
cana-5492	292	28	,	,	PUNCT
cana-5492	292	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	292	30	0.7	0.7	NUM
cana-5492	292	31	,	,	PUNCT
cana-5492	292	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	292	33	0.4	0.4	NUM
cana-5492	292	34	)	)	PUNCT
cana-5492	292	35	〉	〉	NOUN
cana-5492	292	36	(	(	PUNCT
cana-5492	292	37	𝑆3	𝑆3	PROPN
cana-5492	292	38	,	,	PUNCT
cana-5492	292	39	𝑒1	𝑒1	NOUN
cana-5492	292	40	)	)	PUNCT
cana-5492	292	41	=	=	SYM
cana-5492	293	1	〈	〈	PROPN
cana-5492	293	2	(	(	PUNCT
cana-5492	293	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	293	4	,	,	PUNCT
cana-5492	293	5	0.3	0.3	NUM
cana-5492	293	6	,	,	PUNCT
cana-5492	293	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	293	8	0.4	0.4	NUM
cana-5492	293	9	,	,	PUNCT
cana-5492	293	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	293	11	0.7	0.7	NUM
cana-5492	293	12	)	)	PUNCT
cana-5492	293	13	,	,	PUNCT
cana-5492	293	14	(	(	PUNCT
cana-5492	293	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	293	16	0.1	0.1	NUM
cana-5492	293	17	,	,	PUNCT
cana-5492	293	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	293	19	0.3	0.3	NUM
cana-5492	293	20	,	,	PUNCT
cana-5492	293	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	293	22	0.8	0.8	NUM
cana-5492	293	23	)	)	PUNCT
cana-5492	293	24	,	,	PUNCT
cana-5492	293	25	(	(	PUNCT
cana-5492	293	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	293	27	0.2	0.2	NUM
cana-5492	293	28	,	,	PUNCT
cana-5492	293	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	293	30	0.3	0.3	NUM
cana-5492	293	31	,	,	PUNCT
cana-5492	293	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	293	33	0.8	0.8	NUM
cana-5492	293	34	)	)	PUNCT
cana-5492	293	35	〉	〉	NOUN
cana-5492	293	36	(	(	PUNCT
cana-5492	293	37	𝑆3	𝑆3	PROPN
cana-5492	293	38	,	,	PUNCT
cana-5492	293	39	𝑒2	𝑒2	PROPN
cana-5492	293	40	)	)	PUNCT
cana-5492	293	41	=	=	PUNCT
cana-5492	294	1	〈	〈	PROPN
cana-5492	294	2	(	(	PUNCT
cana-5492	294	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	294	4	,	,	PUNCT
cana-5492	294	5	0.1	0.1	NUM
cana-5492	294	6	,	,	PUNCT
cana-5492	294	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	294	8	0.3	0.3	NUM
cana-5492	294	9	,	,	PUNCT
cana-5492	294	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	294	11	0.7	0.7	NUM
cana-5492	294	12	)	)	PUNCT
cana-5492	294	13	,	,	PUNCT
cana-5492	294	14	(	(	PUNCT
cana-5492	294	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	294	16	0.1	0.1	NUM
cana-5492	294	17	,	,	PUNCT
cana-5492	294	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	294	19	0.5	0.5	NUM
cana-5492	294	20	,	,	PUNCT
cana-5492	294	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	294	22	0.8	0.8	NUM
cana-5492	294	23	)	)	PUNCT
cana-5492	294	24	,	,	PUNCT
cana-5492	294	25	(	(	PUNCT
cana-5492	294	26	𝜇𝑡3	𝜇𝑡3	NOUN
cana-5492	294	27	0.1	0.1	NUM
cana-5492	294	28	,	,	PUNCT
cana-5492	294	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	294	30	0.5	0.5	NUM
cana-5492	294	31	,	,	PUNCT
cana-5492	294	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	294	33	0.9	0.9	NUM
cana-5492	294	34	)	)	PUNCT
cana-5492	294	35	〉	〉	NOUN
cana-5492	294	36	(	(	PUNCT
cana-5492	294	37	𝑆4	𝑆4	PROPN
cana-5492	294	38	,	,	PUNCT
cana-5492	294	39	𝑒1	𝑒1	NOUN
cana-5492	294	40	)	)	PUNCT
cana-5492	294	41	=	=	SYM
cana-5492	295	1	〈	〈	PROPN
cana-5492	295	2	(	(	PUNCT
cana-5492	295	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	295	4	,	,	PUNCT
cana-5492	295	5	0.7	0.7	NUM
cana-5492	295	6	,	,	PUNCT
cana-5492	295	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	295	8	0.5	0.5	NUM
cana-5492	295	9	,	,	PUNCT
cana-5492	295	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	295	11	0.2	0.2	NUM
cana-5492	295	12	)	)	PUNCT
cana-5492	295	13	,	,	PUNCT
cana-5492	295	14	(	(	PUNCT
cana-5492	295	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	295	16	0.8	0.8	NUM
cana-5492	295	17	,	,	PUNCT
cana-5492	295	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	295	19	0.6	0.6	NUM
cana-5492	295	20	,	,	PUNCT
cana-5492	295	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	295	22	0.4	0.4	NUM
cana-5492	295	23	)	)	PUNCT
cana-5492	295	24	,	,	PUNCT
cana-5492	295	25	(	(	PUNCT
cana-5492	295	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	295	27	0.7	0.7	NUM
cana-5492	295	28	,	,	PUNCT
cana-5492	295	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	295	30	0.8	0.8	NUM
cana-5492	295	31	,	,	PUNCT
cana-5492	295	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	295	33	0.3	0.3	NUM
cana-5492	295	34	)	)	PUNCT
cana-5492	295	35	〉	〉	NOUN
cana-5492	295	36	(	(	PUNCT
cana-5492	295	37	𝑆4	𝑆4	PROPN
cana-5492	295	38	,	,	PUNCT
cana-5492	295	39	𝑒2	𝑒2	PROPN
cana-5492	295	40	)	)	PUNCT
cana-5492	295	41	=	=	PUNCT
cana-5492	296	1	〈	〈	PROPN
cana-5492	296	2	(	(	PUNCT
cana-5492	296	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	296	4	,	,	PUNCT
cana-5492	296	5	0.7	0.7	NUM
cana-5492	296	6	,	,	PUNCT
cana-5492	296	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	296	8	0.6	0.6	NUM
cana-5492	296	9	,	,	PUNCT
cana-5492	296	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	296	11	0.2	0.2	NUM
cana-5492	296	12	)	)	PUNCT
cana-5492	296	13	,	,	PUNCT
cana-5492	296	14	(	(	PUNCT
cana-5492	296	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	296	16	0.7	0.7	NUM
cana-5492	296	17	,	,	PUNCT
cana-5492	296	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	296	19	0.5	0.5	NUM
cana-5492	296	20	,	,	PUNCT
cana-5492	296	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	296	22	0.2	0.2	NUM
cana-5492	296	23	)	)	PUNCT
cana-5492	296	24	,	,	PUNCT
cana-5492	296	25	(	(	PUNCT
cana-5492	296	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	296	27	0.7	0.7	NUM
cana-5492	296	28	,	,	PUNCT
cana-5492	296	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	296	30	0.6	0.6	NUM
cana-5492	296	31	,	,	PUNCT
cana-5492	296	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	296	33	0.2	0.2	NUM
cana-5492	296	34	)	)	PUNCT
cana-5492	296	35	〉	〉	NOUN
cana-5492	296	36	then	then	ADV
cana-5492	296	37	,	,	PUNCT
cana-5492	296	38	we	we	PRON
cana-5492	296	39	have	have	VERB
cana-5492	296	40	τ	τ	X
cana-5492	296	41	=	=	X
cana-5492	296	42	{	{	PUNCT
cana-5492	296	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	296	44	)	)	PUNCT
cana-5492	296	45	,	,	PUNCT
cana-5492	296	46	1(𝕎	1(𝕎	INTJ
cana-5492	296	47	,	,	PUNCT
cana-5492	296	48	𝜚	𝜚	NOUN
cana-5492	296	49	)	)	PUNCT
cana-5492	296	50	,	,	PUNCT
cana-5492	296	51	(	(	PUNCT
cana-5492	296	52	𝑉1	𝑉1	NOUN
cana-5492	296	53	,	,	PUNCT
cana-5492	296	54	ϱ	ϱ	NOUN
cana-5492	296	55	)	)	PUNCT
cana-5492	296	56	}	}	PUNCT
cana-5492	296	57	and	and	CCONJ
cana-5492	296	58	𝜎	𝜎	X
cana-5492	296	59	=	=	X
cana-5492	296	60	{	{	PUNCT
cana-5492	296	61	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	296	62	)	)	PUNCT
cana-5492	296	63	,	,	PUNCT
cana-5492	296	64	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	296	65	)	)	PUNCT
cana-5492	296	66	,	,	PUNCT
cana-5492	296	67	(	(	PUNCT
cana-5492	296	68	𝑆1	𝑆1	PROPN
cana-5492	296	69	,	,	PUNCT
cana-5492	296	70	ϱ	ϱ	NOUN
cana-5492	296	71	)	)	PUNCT
cana-5492	296	72	,	,	PUNCT
cana-5492	296	73	(	(	PUNCT
cana-5492	296	74	𝑆2	𝑆2	PROPN
cana-5492	296	75	,	,	PUNCT
cana-5492	296	76	ϱ	ϱ	NOUN
cana-5492	296	77	)	)	PUNCT
cana-5492	296	78	,	,	PUNCT
cana-5492	296	79	(	(	PUNCT
cana-5492	296	80	𝑆3	𝑆3	PROPN
cana-5492	296	81	,	,	PUNCT
cana-5492	296	82	ϱ	ϱ	NOUN
cana-5492	296	83	)	)	PUNCT
cana-5492	296	84	}	}	PUNCT
cana-5492	296	85	.	.	PUNCT
cana-5492	297	1	let	let	VERB
cana-5492	297	2	𝒢	𝒢	PROPN
cana-5492	297	3	∶	∶	NOUN
cana-5492	297	4	(	(	PUNCT
cana-5492	297	5	𝕎	𝕎	PROPN
cana-5492	297	6	,	,	PUNCT
cana-5492	297	7	τ	τ	PROPN
cana-5492	297	8	,	,	PUNCT
cana-5492	297	9	ϱ	ϱ	PROPN
cana-5492	297	10	)	)	PUNCT
cana-5492	297	11	→	→	SYM
cana-5492	297	12	(	(	PUNCT
cana-5492	297	13	𝕋	𝕋	PROPN
cana-5492	297	14	,	,	PUNCT
cana-5492	297	15	σ	σ	PROPN
cana-5492	297	16	,	,	PUNCT
cana-5492	297	17	ϱ	ϱ	NOUN
cana-5492	297	18	)	)	PUNCT
cana-5492	297	19	be	be	VERB
cana-5492	297	20	an	an	DET
cana-5492	297	21	identity	identity	NOUN
cana-5492	297	22	mapping	mapping	NOUN
cana-5492	297	23	,	,	PUNCT
cana-5492	297	24	then	then	ADV
cana-5492	297	25	𝒢	𝒢	PROPN
cana-5492	297	26	is	be	AUX
cana-5492	297	27	a	a	DET
cana-5492	297	28	nscontrapo	nscontrapo	NOUN
cana-5492	297	29	but	but	CCONJ
cana-5492	297	30	not	not	PART
cana-5492	297	31	nscontrao	nscontrao	NOUN
cana-5492	297	32	,	,	PUNCT
cana-5492	297	33	because	because	SCONJ
cana-5492	297	34	the	the	DET
cana-5492	297	35	set	set	NOUN
cana-5492	297	36	𝒢	𝒢	PROPN
cana-5492	297	37	(	(	PUNCT
cana-5492	297	38	𝑉1	𝑉1	PROPN
cana-5492	297	39	,	,	PUNCT
cana-5492	297	40	ϱ	ϱ	NOUN
cana-5492	297	41	)	)	PUNCT
cana-5492	297	42	=	=	SYM
cana-5492	297	43	(	(	PUNCT
cana-5492	297	44	𝑆4	𝑆4	PROPN
cana-5492	297	45	,	,	PUNCT
cana-5492	297	46	ϱ	ϱ	NOUN
cana-5492	297	47	)	)	PUNCT
cana-5492	297	48	is	be	AUX
cana-5492	297	49	a	a	DET
cana-5492	297	50	nspcs	nspc	NOUN
cana-5492	297	51	but	but	CCONJ
cana-5492	297	52	not	not	PART
cana-5492	297	53	nscs	nscs	PROPN
cana-5492	297	54	.	.	PUNCT
cana-5492	297	55	example	example	NOUN
cana-5492	297	56	5.3	5.3	NUM
cana-5492	297	57	let	let	VERB
cana-5492	297	58	𝕎	𝕎	PROPN
cana-5492	297	59	=	=	PRON
cana-5492	297	60	{	{	PUNCT
cana-5492	297	61	𝑤1	𝑤1	NOUN
cana-5492	297	62	,	,	PUNCT
cana-5492	297	63	𝑤2	𝑤2	NOUN
cana-5492	297	64	,	,	PUNCT
cana-5492	297	65	𝑤3	𝑤3	NOUN
cana-5492	297	66	}	}	PUNCT
cana-5492	297	67	=	=	SYM
cana-5492	297	68	{	{	PUNCT
cana-5492	297	69	𝑡1	𝑡1	NOUN
cana-5492	297	70	,	,	PUNCT
cana-5492	297	71	𝑡2	𝑡2	PROPN
cana-5492	297	72	,	,	PUNCT
cana-5492	297	73	𝑡3	𝑡3	PROPN
cana-5492	297	74	}	}	PUNCT
cana-5492	297	75	=	=	SYM
cana-5492	297	76	𝕋	𝕋	PROPN
cana-5492	297	77	,	,	PUNCT
cana-5492	297	78	ϱ	ϱ	NOUN
cana-5492	297	79	=	=	SYM
cana-5492	297	80	{	{	PUNCT
cana-5492	297	81	𝑒1	𝑒1	NOUN
cana-5492	297	82	,	,	PUNCT
cana-5492	297	83	𝑒2	𝑒2	NOUN
cana-5492	297	84	}	}	PUNCT
cana-5492	297	85	and	and	CCONJ
cana-5492	297	86	ns	ns	NUM
cana-5492	297	87	sets	set	NOUN
cana-5492	297	88	(	(	PUNCT
cana-5492	297	89	𝑉1	𝑉1	NOUN
cana-5492	297	90	,	,	PUNCT
cana-5492	297	91	ϱ	ϱ	NOUN
cana-5492	297	92	)	)	PUNCT
cana-5492	297	93	in	in	ADP
cana-5492	297	94	𝕎	𝕎	PROPN
cana-5492	297	95	and	and	CCONJ
cana-5492	297	96	(	(	PUNCT
cana-5492	297	97	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	297	98	)	)	PUNCT
cana-5492	297	99	,	,	PUNCT
cana-5492	297	100	(	(	PUNCT
cana-5492	297	101	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	297	102	)	)	PUNCT
cana-5492	297	103	,	,	PUNCT
cana-5492	297	104	(	(	PUNCT
cana-5492	297	105	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	297	106	)	)	PUNCT
cana-5492	297	107	and	and	CCONJ
cana-5492	297	108	(	(	PUNCT
cana-5492	297	109	𝑆4,ϱ	𝑆4,ϱ	X
cana-5492	297	110	)	)	PUNCT
cana-5492	297	111	in	in	ADP
cana-5492	297	112	𝕋	𝕋	PRON
cana-5492	297	113	are	be	AUX
cana-5492	297	114	defined	define	VERB
cana-5492	297	115	as	as	ADP
cana-5492	297	116	(	(	PUNCT
cana-5492	297	117	𝑉1	𝑉1	NOUN
cana-5492	297	118	,	,	PUNCT
cana-5492	297	119	𝑒1	𝑒1	NOUN
cana-5492	297	120	)	)	PUNCT
cana-5492	297	121	=	=	SYM
cana-5492	297	122	〈	〈	PROPN
cana-5492	297	123	(	(	PUNCT
cana-5492	297	124	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	297	125	,	,	PUNCT
cana-5492	297	126	0.5	0.5	NUM
cana-5492	297	127	,	,	PUNCT
cana-5492	297	128	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	297	129	0.5	0.5	NUM
cana-5492	297	130	,	,	PUNCT
cana-5492	297	131	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	297	132	0.5	0.5	NUM
cana-5492	297	133	)	)	PUNCT
cana-5492	297	134	,	,	PUNCT
cana-5492	297	135	(	(	PUNCT
cana-5492	297	136	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	297	137	0.6	0.6	NUM
cana-5492	297	138	,	,	PUNCT
cana-5492	297	139	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	297	140	0.5	0.5	NUM
cana-5492	297	141	,	,	PUNCT
cana-5492	297	142	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	297	143	0.6	0.6	NUM
cana-5492	297	144	)	)	PUNCT
cana-5492	297	145	,	,	PUNCT
cana-5492	297	146	(	(	PUNCT
cana-5492	297	147	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	297	148	0.4	0.4	NUM
cana-5492	297	149	,	,	PUNCT
cana-5492	297	150	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	297	151	0.5	0.5	NUM
cana-5492	297	152	,	,	PUNCT
cana-5492	297	153	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	297	154	0.5	0.5	NUM
cana-5492	297	155	)	)	PUNCT
cana-5492	297	156	〉	〉	NOUN
cana-5492	297	157	(	(	PUNCT
cana-5492	297	158	𝑉1	𝑉1	PROPN
cana-5492	297	159	,	,	PUNCT
cana-5492	297	160	𝑒2	𝑒2	NOUN
cana-5492	297	161	)	)	PUNCT
cana-5492	297	162	=	=	PUNCT
cana-5492	298	1	〈	〈	PROPN
cana-5492	298	2	(	(	PUNCT
cana-5492	298	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	298	4	,	,	PUNCT
cana-5492	298	5	0.2	0.2	NUM
cana-5492	298	6	,	,	PUNCT
cana-5492	298	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	298	8	0.5	0.5	NUM
cana-5492	298	9	,	,	PUNCT
cana-5492	298	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	298	11	0.3	0.3	NUM
cana-5492	298	12	)	)	PUNCT
cana-5492	298	13	,	,	PUNCT
cana-5492	298	14	(	(	PUNCT
cana-5492	298	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	298	16	0.6	0.6	NUM
cana-5492	298	17	,	,	PUNCT
cana-5492	298	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	298	19	0.5	0.5	NUM
cana-5492	298	20	,	,	PUNCT
cana-5492	298	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	298	22	0.9	0.9	NUM
cana-5492	298	23	)	)	PUNCT
cana-5492	298	24	,	,	PUNCT
cana-5492	298	25	(	(	PUNCT
cana-5492	298	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	298	27	0.4	0.4	NUM
cana-5492	298	28	,	,	PUNCT
cana-5492	298	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	298	30	0.5	0.5	NUM
cana-5492	298	31	,	,	PUNCT
cana-5492	298	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	298	33	0.3	0.3	NUM
cana-5492	298	34	)	)	PUNCT
cana-5492	298	35	〉	〉	NOUN
cana-5492	298	36	(	(	PUNCT
cana-5492	298	37	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	298	38	)	)	PUNCT
cana-5492	298	39	=	=	SYM
cana-5492	299	1	〈	〈	PROPN
cana-5492	299	2	(	(	PUNCT
cana-5492	299	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	299	4	,	,	PUNCT
cana-5492	299	5	0.4	0.4	NUM
cana-5492	299	6	,	,	PUNCT
cana-5492	299	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	299	8	0.5	0.5	NUM
cana-5492	299	9	,	,	PUNCT
cana-5492	299	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	299	11	0.6	0.6	NUM
cana-5492	299	12	)	)	PUNCT
cana-5492	299	13	,	,	PUNCT
cana-5492	299	14	(	(	PUNCT
cana-5492	299	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	299	16	0.5	0.5	NUM
cana-5492	299	17	,	,	PUNCT
cana-5492	299	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	299	19	0.4	0.4	NUM
cana-5492	299	20	,	,	PUNCT
cana-5492	299	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	299	22	0.8	0.8	NUM
cana-5492	299	23	)	)	PUNCT
cana-5492	299	24	,	,	PUNCT
cana-5492	299	25	(	(	PUNCT
cana-5492	299	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	299	27	0.4	0.4	NUM
cana-5492	299	28	,	,	PUNCT
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cana-5492	299	30	0.5	0.5	NUM
cana-5492	299	31	,	,	PUNCT
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cana-5492	299	33	0.7	0.7	NUM
cana-5492	299	34	)	)	PUNCT
cana-5492	299	35	〉	〉	NOUN
cana-5492	299	36	(	(	PUNCT
cana-5492	299	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	299	38	)	)	PUNCT
cana-5492	299	39	=	=	SYM
cana-5492	299	40	〈	〈	PROPN
cana-5492	299	41	(	(	PUNCT
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cana-5492	299	43	,	,	PUNCT
cana-5492	299	44	0.2	0.2	NUM
cana-5492	299	45	,	,	PUNCT
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cana-5492	299	47	0.4	0.4	NUM
cana-5492	299	48	,	,	PUNCT
cana-5492	299	49	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	299	50	0.6	0.6	NUM
cana-5492	299	51	)	)	PUNCT
cana-5492	299	52	,	,	PUNCT
cana-5492	299	53	(	(	PUNCT
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cana-5492	299	55	0.2	0.2	NUM
cana-5492	299	56	,	,	PUNCT
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cana-5492	299	58	0.5	0.5	NUM
cana-5492	299	59	,	,	PUNCT
cana-5492	299	60	𝜈𝑡2	𝜈𝑡2	NOUN
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cana-5492	299	62	)	)	PUNCT
cana-5492	299	63	,	,	PUNCT
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cana-5492	299	67	,	,	PUNCT
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cana-5492	299	69	0.5	0.5	NUM
cana-5492	299	70	,	,	PUNCT
cana-5492	299	71	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	299	72	0.8	0.8	NUM
cana-5492	299	73	)	)	PUNCT
cana-5492	299	74	〉	〉	NOUN
cana-5492	299	75	communications	communication	NOUN
cana-5492	299	76	on	on	ADP
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cana-5492	299	80	issn	issn	NOUN
cana-5492	299	81	:	:	PUNCT
cana-5492	299	82	1074	1074	NUM
cana-5492	299	83	-	-	PUNCT
cana-5492	299	84	133x	133x	NUM
cana-5492	299	85	vol	vol	VERB
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cana-5492	299	88	.	.	PUNCT
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cana-5492	300	2	(	(	PUNCT
cana-5492	300	3	2025	2025	NUM
cana-5492	300	4	)	)	PUNCT
cana-5492	300	5	2455	2455	NUM
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cana-5492	300	7	(	(	PUNCT
cana-5492	300	8	𝑆2	𝑆2	PROPN
cana-5492	300	9	,	,	PUNCT
cana-5492	300	10	𝑒1	𝑒1	NOUN
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cana-5492	300	12	=	=	SYM
cana-5492	301	1	〈	〈	PROPN
cana-5492	301	2	(	(	PUNCT
cana-5492	301	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	301	4	,	,	PUNCT
cana-5492	301	5	0.5	0.5	NUM
cana-5492	301	6	,	,	PUNCT
cana-5492	301	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	301	8	0.5	0.5	NUM
cana-5492	301	9	,	,	PUNCT
cana-5492	301	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	301	11	0.6	0.6	NUM
cana-5492	301	12	)	)	PUNCT
cana-5492	301	13	,	,	PUNCT
cana-5492	301	14	(	(	PUNCT
cana-5492	301	15	𝜇𝑡2	𝜇𝑡2	X
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cana-5492	301	17	,	,	PUNCT
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cana-5492	301	19	0.5	0.5	NUM
cana-5492	301	20	,	,	PUNCT
cana-5492	301	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	301	22	0.5	0.5	NUM
cana-5492	301	23	)	)	PUNCT
cana-5492	301	24	,	,	PUNCT
cana-5492	301	25	(	(	PUNCT
cana-5492	301	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	301	27	0.6	0.6	NUM
cana-5492	301	28	,	,	PUNCT
cana-5492	301	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	301	30	0.5	0.5	NUM
cana-5492	301	31	,	,	PUNCT
cana-5492	301	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	301	33	0.6	0.6	NUM
cana-5492	301	34	)	)	PUNCT
cana-5492	301	35	〉	〉	NOUN
cana-5492	301	36	(	(	PUNCT
cana-5492	301	37	𝑆2	𝑆2	PROPN
cana-5492	301	38	,	,	PUNCT
cana-5492	301	39	𝑒2	𝑒2	PROPN
cana-5492	301	40	)	)	PUNCT
cana-5492	301	41	=	=	PUNCT
cana-5492	302	1	〈	〈	PROPN
cana-5492	302	2	(	(	PUNCT
cana-5492	302	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	302	4	,	,	PUNCT
cana-5492	302	5	0.4	0.4	NUM
cana-5492	302	6	,	,	PUNCT
cana-5492	302	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	302	8	0.6	0.6	NUM
cana-5492	302	9	,	,	PUNCT
cana-5492	302	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	302	11	0.6	0.6	NUM
cana-5492	302	12	)	)	PUNCT
cana-5492	302	13	,	,	PUNCT
cana-5492	302	14	(	(	PUNCT
cana-5492	302	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	302	16	0.3	0.3	NUM
cana-5492	302	17	,	,	PUNCT
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cana-5492	302	19	0.5	0.5	NUM
cana-5492	302	20	,	,	PUNCT
cana-5492	302	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	302	22	0.7	0.7	NUM
cana-5492	302	23	)	)	PUNCT
cana-5492	302	24	,	,	PUNCT
cana-5492	302	25	(	(	PUNCT
cana-5492	302	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	302	27	0.3	0.3	NUM
cana-5492	302	28	,	,	PUNCT
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cana-5492	302	30	0.7	0.7	NUM
cana-5492	302	31	,	,	PUNCT
cana-5492	302	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	302	33	0.4	0.4	NUM
cana-5492	302	34	)	)	PUNCT
cana-5492	302	35	〉	〉	NOUN
cana-5492	302	36	(	(	PUNCT
cana-5492	302	37	𝑆3	𝑆3	PROPN
cana-5492	302	38	,	,	PUNCT
cana-5492	302	39	𝑒1	𝑒1	NOUN
cana-5492	302	40	)	)	PUNCT
cana-5492	302	41	=	=	SYM
cana-5492	303	1	〈	〈	PROPN
cana-5492	303	2	(	(	PUNCT
cana-5492	303	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	303	4	,	,	PUNCT
cana-5492	303	5	0.3	0.3	NUM
cana-5492	303	6	,	,	PUNCT
cana-5492	303	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	303	8	0.4	0.4	NUM
cana-5492	303	9	,	,	PUNCT
cana-5492	303	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	303	11	0.7	0.7	NUM
cana-5492	303	12	)	)	PUNCT
cana-5492	303	13	,	,	PUNCT
cana-5492	303	14	(	(	PUNCT
cana-5492	303	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	303	16	0.1	0.1	NUM
cana-5492	303	17	,	,	PUNCT
cana-5492	303	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	303	19	0.3	0.3	NUM
cana-5492	303	20	,	,	PUNCT
cana-5492	303	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	303	22	0.8	0.8	NUM
cana-5492	303	23	)	)	PUNCT
cana-5492	303	24	,	,	PUNCT
cana-5492	303	25	(	(	PUNCT
cana-5492	303	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	303	27	0.2	0.2	NUM
cana-5492	303	28	,	,	PUNCT
cana-5492	303	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	303	30	0.3	0.3	NUM
cana-5492	303	31	,	,	PUNCT
cana-5492	303	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	303	33	0.8	0.8	NUM
cana-5492	303	34	)	)	PUNCT
cana-5492	303	35	〉	〉	NOUN
cana-5492	303	36	(	(	PUNCT
cana-5492	303	37	𝑆3	𝑆3	PROPN
cana-5492	303	38	,	,	PUNCT
cana-5492	303	39	𝑒2	𝑒2	PROPN
cana-5492	303	40	)	)	PUNCT
cana-5492	303	41	=	=	PUNCT
cana-5492	304	1	〈	〈	PROPN
cana-5492	304	2	(	(	PUNCT
cana-5492	304	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	304	4	,	,	PUNCT
cana-5492	304	5	0.1	0.1	NUM
cana-5492	304	6	,	,	PUNCT
cana-5492	304	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	304	8	0.3	0.3	NUM
cana-5492	304	9	,	,	PUNCT
cana-5492	304	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	304	11	0.7	0.7	NUM
cana-5492	304	12	)	)	PUNCT
cana-5492	304	13	,	,	PUNCT
cana-5492	304	14	(	(	PUNCT
cana-5492	304	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	304	16	0.1	0.1	NUM
cana-5492	304	17	,	,	PUNCT
cana-5492	304	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	304	19	0.5	0.5	NUM
cana-5492	304	20	,	,	PUNCT
cana-5492	304	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	304	22	0.8	0.8	NUM
cana-5492	304	23	)	)	PUNCT
cana-5492	304	24	,	,	PUNCT
cana-5492	304	25	(	(	PUNCT
cana-5492	304	26	𝜇𝑡3	𝜇𝑡3	NOUN
cana-5492	304	27	0.1	0.1	NUM
cana-5492	304	28	,	,	PUNCT
cana-5492	304	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	304	30	0.5	0.5	NUM
cana-5492	304	31	,	,	PUNCT
cana-5492	304	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	304	33	0.9	0.9	NUM
cana-5492	304	34	)	)	PUNCT
cana-5492	304	35	〉	〉	NOUN
cana-5492	304	36	(	(	PUNCT
cana-5492	304	37	𝑆4	𝑆4	PROPN
cana-5492	304	38	,	,	PUNCT
cana-5492	304	39	𝑒1	𝑒1	NOUN
cana-5492	304	40	)	)	PUNCT
cana-5492	304	41	=	=	SYM
cana-5492	305	1	〈	〈	PROPN
cana-5492	305	2	(	(	PUNCT
cana-5492	305	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	305	4	,	,	PUNCT
cana-5492	305	5	0.5	0.5	NUM
cana-5492	305	6	,	,	PUNCT
cana-5492	305	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	305	8	0.5	0.5	NUM
cana-5492	305	9	,	,	PUNCT
cana-5492	305	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	305	11	0.5	0.5	NUM
cana-5492	305	12	)	)	PUNCT
cana-5492	305	13	,	,	PUNCT
cana-5492	305	14	(	(	PUNCT
cana-5492	305	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	305	16	0.6	0.6	NUM
cana-5492	305	17	,	,	PUNCT
cana-5492	305	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	305	19	0.5	0.5	NUM
cana-5492	305	20	,	,	PUNCT
cana-5492	305	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	305	22	0.6	0.6	NUM
cana-5492	305	23	)	)	PUNCT
cana-5492	305	24	,	,	PUNCT
cana-5492	305	25	(	(	PUNCT
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cana-5492	305	27	0.4	0.4	NUM
cana-5492	305	28	,	,	PUNCT
cana-5492	305	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	305	30	0.5	0.5	NUM
cana-5492	305	31	,	,	PUNCT
cana-5492	305	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	305	33	0.5	0.5	NUM
cana-5492	305	34	)	)	PUNCT
cana-5492	305	35	〉	〉	NOUN
cana-5492	305	36	(	(	PUNCT
cana-5492	305	37	𝑆4	𝑆4	PROPN
cana-5492	305	38	,	,	PUNCT
cana-5492	305	39	𝑒2	𝑒2	PROPN
cana-5492	305	40	)	)	PUNCT
cana-5492	305	41	=	=	PUNCT
cana-5492	306	1	〈	〈	PROPN
cana-5492	306	2	(	(	PUNCT
cana-5492	306	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	306	4	,	,	PUNCT
cana-5492	306	5	0.2	0.2	NUM
cana-5492	306	6	,	,	PUNCT
cana-5492	306	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	306	8	0.5	0.5	NUM
cana-5492	306	9	,	,	PUNCT
cana-5492	306	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	306	11	0.3	0.3	NUM
cana-5492	306	12	)	)	PUNCT
cana-5492	306	13	,	,	PUNCT
cana-5492	306	14	(	(	PUNCT
cana-5492	306	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	306	16	0.6	0.6	NUM
cana-5492	306	17	,	,	PUNCT
cana-5492	306	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	306	19	0.5	0.5	NUM
cana-5492	306	20	,	,	PUNCT
cana-5492	306	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	306	22	0.9	0.9	NUM
cana-5492	306	23	)	)	PUNCT
cana-5492	306	24	,	,	PUNCT
cana-5492	306	25	(	(	PUNCT
cana-5492	306	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	306	27	0.4	0.4	NUM
cana-5492	306	28	,	,	PUNCT
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cana-5492	306	30	0.5	0.5	NUM
cana-5492	306	31	,	,	PUNCT
cana-5492	306	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	306	33	0.3	0.3	NUM
cana-5492	306	34	)	)	PUNCT
cana-5492	306	35	〉	〉	NOUN
cana-5492	306	36	then	then	ADV
cana-5492	306	37	,	,	PUNCT
cana-5492	306	38	we	we	PRON
cana-5492	306	39	have	have	VERB
cana-5492	306	40	τ	τ	X
cana-5492	306	41	=	=	X
cana-5492	306	42	{	{	PUNCT
cana-5492	306	43	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	306	44	)	)	PUNCT
cana-5492	306	45	,	,	PUNCT
cana-5492	306	46	1(𝕎	1(𝕎	INTJ
cana-5492	306	47	,	,	PUNCT
cana-5492	306	48	𝜚	𝜚	NOUN
cana-5492	306	49	)	)	PUNCT
cana-5492	306	50	,	,	PUNCT
cana-5492	306	51	(	(	PUNCT
cana-5492	306	52	𝑉1	𝑉1	NOUN
cana-5492	306	53	,	,	PUNCT
cana-5492	306	54	ϱ	ϱ	NOUN
cana-5492	306	55	)	)	PUNCT
cana-5492	306	56	}	}	PUNCT
cana-5492	306	57	and	and	CCONJ
cana-5492	306	58	𝜎	𝜎	X
cana-5492	306	59	=	=	X
cana-5492	306	60	{	{	PUNCT
cana-5492	306	61	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	306	62	)	)	PUNCT
cana-5492	306	63	,	,	PUNCT
cana-5492	306	64	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	306	65	)	)	PUNCT
cana-5492	306	66	,	,	PUNCT
cana-5492	306	67	(	(	PUNCT
cana-5492	306	68	𝑆1	𝑆1	PROPN
cana-5492	306	69	,	,	PUNCT
cana-5492	306	70	ϱ	ϱ	NOUN
cana-5492	306	71	)	)	PUNCT
cana-5492	306	72	,	,	PUNCT
cana-5492	306	73	(	(	PUNCT
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cana-5492	306	75	,	,	PUNCT
cana-5492	306	76	ϱ	ϱ	NOUN
cana-5492	306	77	)	)	PUNCT
cana-5492	306	78	,	,	PUNCT
cana-5492	306	79	(	(	PUNCT
cana-5492	306	80	𝑆3	𝑆3	PROPN
cana-5492	306	81	,	,	PUNCT
cana-5492	306	82	ϱ	ϱ	NOUN
cana-5492	306	83	)	)	PUNCT
cana-5492	306	84	}	}	PUNCT
cana-5492	306	85	.	.	PUNCT
cana-5492	307	1	let	let	VERB
cana-5492	307	2	𝒢	𝒢	PROPN
cana-5492	307	3	∶	∶	NOUN
cana-5492	307	4	(	(	PUNCT
cana-5492	307	5	𝕎	𝕎	PROPN
cana-5492	307	6	,	,	PUNCT
cana-5492	307	7	τ	τ	PROPN
cana-5492	307	8	,	,	PUNCT
cana-5492	307	9	ϱ	ϱ	PROPN
cana-5492	307	10	)	)	PUNCT
cana-5492	307	11	→	→	SYM
cana-5492	307	12	(	(	PUNCT
cana-5492	307	13	𝕋	𝕋	PROPN
cana-5492	307	14	,	,	PUNCT
cana-5492	307	15	σ	σ	PROPN
cana-5492	307	16	,	,	PUNCT
cana-5492	307	17	ϱ	ϱ	NOUN
cana-5492	307	18	)	)	PUNCT
cana-5492	307	19	be	be	VERB
cana-5492	307	20	an	an	DET
cana-5492	307	21	identity	identity	NOUN
cana-5492	307	22	mapping	mapping	NOUN
cana-5492	307	23	.	.	PUNCT
cana-5492	308	1	then	then	ADV
cana-5492	308	2	(	(	PUNCT
cana-5492	308	3	i	i	NOUN
cana-5492	308	4	)	)	PUNCT
cana-5492	308	5	𝒢	𝒢	NOUN
cana-5492	308	6	is	be	AUX
cana-5492	308	7	a	a	DET
cana-5492	308	8	nscontraδso	nscontraδso	NOUN
cana-5492	308	9	but	but	CCONJ
cana-5492	308	10	not	not	PART
cana-5492	308	11	nscontrao	nscontrao	NOUN
cana-5492	308	12	,	,	PUNCT
cana-5492	308	13	because	because	SCONJ
cana-5492	308	14	the	the	DET
cana-5492	308	15	set	set	NOUN
cana-5492	308	16	𝒢	𝒢	PROPN
cana-5492	308	17	(	(	PUNCT
cana-5492	308	18	𝑉1	𝑉1	PROPN
cana-5492	308	19	,	,	PUNCT
cana-5492	308	20	ϱ	ϱ	NOUN
cana-5492	308	21	)	)	PUNCT
cana-5492	308	22	=	=	SYM
cana-5492	308	23	(	(	PUNCT
cana-5492	308	24	𝑆4	𝑆4	PROPN
cana-5492	308	25	,	,	PUNCT
cana-5492	308	26	ϱ	ϱ	NOUN
cana-5492	308	27	)	)	PUNCT
cana-5492	308	28	is	be	AUX
cana-5492	308	29	a	a	DET
cana-5492	308	30	nsδscs	nsδscs	ADJ
cana-5492	308	31	but	but	CCONJ
cana-5492	308	32	not	not	PART
cana-5492	308	33	nscs	nscs	PROPN
cana-5492	308	34	.	.	PUNCT
cana-5492	309	1	(	(	PUNCT
cana-5492	309	2	ii	ii	NOUN
cana-5492	309	3	)	)	PUNCT
cana-5492	309	4	𝒢	𝒢	NOUN
cana-5492	309	5	is	be	AUX
cana-5492	309	6	a	a	DET
cana-5492	309	7	nscontrazo	nscontrazo	ADJ
cana-5492	309	8	but	but	CCONJ
cana-5492	309	9	not	not	PART
cana-5492	309	10	nscontrapo	nscontrapo	NOUN
cana-5492	309	11	,	,	PUNCT
cana-5492	309	12	because	because	SCONJ
cana-5492	309	13	the	the	DET
cana-5492	309	14	set	set	NOUN
cana-5492	309	15	𝒢	𝒢	PROPN
cana-5492	309	16	(	(	PUNCT
cana-5492	309	17	𝑉1	𝑉1	PROPN
cana-5492	309	18	,	,	PUNCT
cana-5492	309	19	ϱ	ϱ	NOUN
cana-5492	309	20	)	)	PUNCT
cana-5492	309	21	=	=	SYM
cana-5492	309	22	(	(	PUNCT
cana-5492	309	23	𝑆4	𝑆4	PROPN
cana-5492	309	24	,	,	PUNCT
cana-5492	309	25	ϱ	ϱ	NOUN
cana-5492	309	26	)	)	PUNCT
cana-5492	309	27	is	be	AUX
cana-5492	309	28	a	a	DET
cana-5492	309	29	nszcs	nszcs	NOUN
cana-5492	309	30	but	but	CCONJ
cana-5492	309	31	not	not	PART
cana-5492	309	32	nspcs	nspc	NOUN
cana-5492	309	33	.	.	PUNCT
cana-5492	309	34	example	example	NOUN
cana-5492	309	35	5.4	5.4	NUM
cana-5492	309	36	let	let	VERB
cana-5492	309	37	𝕎	𝕎	PROPN
cana-5492	309	38	=	=	PRON
cana-5492	309	39	{	{	PUNCT
cana-5492	309	40	𝑤1	𝑤1	NOUN
cana-5492	309	41	,	,	PUNCT
cana-5492	309	42	𝑤2	𝑤2	NOUN
cana-5492	309	43	,	,	PUNCT
cana-5492	309	44	𝑤3	𝑤3	NOUN
cana-5492	309	45	}	}	PUNCT
cana-5492	309	46	=	=	SYM
cana-5492	309	47	{	{	PUNCT
cana-5492	309	48	𝑡1	𝑡1	NOUN
cana-5492	309	49	,	,	PUNCT
cana-5492	309	50	𝑡2	𝑡2	PROPN
cana-5492	309	51	,	,	PUNCT
cana-5492	309	52	𝑡3	𝑡3	PROPN
cana-5492	309	53	}	}	PUNCT
cana-5492	309	54	=	=	SYM
cana-5492	309	55	𝕋	𝕋	PROPN
cana-5492	309	56	,	,	PUNCT
cana-5492	309	57	ϱ	ϱ	NOUN
cana-5492	309	58	=	=	SYM
cana-5492	309	59	{	{	PUNCT
cana-5492	309	60	𝑒1	𝑒1	NOUN
cana-5492	309	61	,	,	PUNCT
cana-5492	309	62	𝑒2	𝑒2	NOUN
cana-5492	309	63	}	}	PUNCT
cana-5492	309	64	and	and	CCONJ
cana-5492	309	65	ns	ns	NUM
cana-5492	309	66	sets	set	NOUN
cana-5492	309	67	(	(	PUNCT
cana-5492	309	68	𝑉1	𝑉1	NOUN
cana-5492	309	69	,	,	PUNCT
cana-5492	309	70	ϱ	ϱ	NOUN
cana-5492	309	71	)	)	PUNCT
cana-5492	309	72	in	in	ADP
cana-5492	309	73	𝕎	𝕎	PROPN
cana-5492	309	74	and	and	CCONJ
cana-5492	309	75	(	(	PUNCT
cana-5492	309	76	𝑆1,ϱ	𝑆1,ϱ	PROPN
cana-5492	309	77	)	)	PUNCT
cana-5492	309	78	,	,	PUNCT
cana-5492	309	79	(	(	PUNCT
cana-5492	309	80	𝑆2,ϱ	𝑆2,ϱ	PROPN
cana-5492	309	81	)	)	PUNCT
cana-5492	309	82	,	,	PUNCT
cana-5492	309	83	(	(	PUNCT
cana-5492	309	84	𝑆3,ϱ	𝑆3,ϱ	PROPN
cana-5492	309	85	)	)	PUNCT
cana-5492	309	86	and	and	CCONJ
cana-5492	309	87	(	(	PUNCT
cana-5492	309	88	𝑆4,ϱ	𝑆4,ϱ	X
cana-5492	309	89	)	)	PUNCT
cana-5492	309	90	in	in	ADP
cana-5492	309	91	𝕋	𝕋	PRON
cana-5492	309	92	are	be	AUX
cana-5492	309	93	defined	define	VERB
cana-5492	309	94	as	as	ADP
cana-5492	309	95	(	(	PUNCT
cana-5492	309	96	𝑉1	𝑉1	NOUN
cana-5492	309	97	,	,	PUNCT
cana-5492	309	98	𝑒1	𝑒1	NOUN
cana-5492	309	99	)	)	PUNCT
cana-5492	309	100	=	=	SYM
cana-5492	309	101	〈	〈	PROPN
cana-5492	309	102	(	(	PUNCT
cana-5492	309	103	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	309	104	,	,	PUNCT
cana-5492	309	105	0.7	0.7	NUM
cana-5492	309	106	,	,	PUNCT
cana-5492	309	107	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	309	108	0.6	0.6	NUM
cana-5492	309	109	,	,	PUNCT
cana-5492	309	110	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	309	111	0.3	0.3	NUM
cana-5492	309	112	)	)	PUNCT
cana-5492	309	113	,	,	PUNCT
cana-5492	309	114	(	(	PUNCT
cana-5492	309	115	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	309	116	0.8	0.8	NUM
cana-5492	309	117	,	,	PUNCT
cana-5492	309	118	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	309	119	0.7	0.7	NUM
cana-5492	309	120	,	,	PUNCT
cana-5492	309	121	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	309	122	0.1	0.1	NUM
cana-5492	309	123	)	)	PUNCT
cana-5492	309	124	,	,	PUNCT
cana-5492	309	125	(	(	PUNCT
cana-5492	309	126	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	309	127	0.8	0.8	NUM
cana-5492	309	128	,	,	PUNCT
cana-5492	309	129	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	309	130	0.7	0.7	NUM
cana-5492	309	131	,	,	PUNCT
cana-5492	309	132	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	309	133	0.2	0.2	NUM
cana-5492	309	134	)	)	PUNCT
cana-5492	309	135	〉	〉	NOUN
cana-5492	309	136	(	(	PUNCT
cana-5492	309	137	𝑉1	𝑉1	PROPN
cana-5492	309	138	,	,	PUNCT
cana-5492	309	139	𝑒2	𝑒2	NOUN
cana-5492	309	140	)	)	PUNCT
cana-5492	309	141	=	=	PUNCT
cana-5492	309	142	〈	〈	PROPN
cana-5492	309	143	(	(	PUNCT
cana-5492	309	144	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	309	145	,	,	PUNCT
cana-5492	309	146	0.7	0.7	NUM
cana-5492	309	147	,	,	PUNCT
cana-5492	309	148	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	309	149	0.7	0.7	NUM
cana-5492	309	150	,	,	PUNCT
cana-5492	309	151	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	309	152	0.1	0.1	NUM
cana-5492	309	153	)	)	PUNCT
cana-5492	309	154	,	,	PUNCT
cana-5492	309	155	(	(	PUNCT
cana-5492	309	156	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	309	157	0.8	0.8	NUM
cana-5492	309	158	,	,	PUNCT
cana-5492	309	159	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	309	160	0.5	0.5	NUM
cana-5492	309	161	,	,	PUNCT
cana-5492	309	162	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	309	163	0.1	0.1	NUM
cana-5492	309	164	)	)	PUNCT
cana-5492	309	165	,	,	PUNCT
cana-5492	309	166	(	(	PUNCT
cana-5492	309	167	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	309	168	0.9	0.9	NUM
cana-5492	309	169	,	,	PUNCT
cana-5492	309	170	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	309	171	0.5	0.5	NUM
cana-5492	309	172	,	,	PUNCT
cana-5492	309	173	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	309	174	0.1	0.1	NUM
cana-5492	309	175	)	)	PUNCT
cana-5492	309	176	〉	〉	NOUN
cana-5492	309	177	(	(	PUNCT
cana-5492	309	178	𝑆1,e1	𝑆1,e1	PROPN
cana-5492	309	179	)	)	PUNCT
cana-5492	309	180	=	=	SYM
cana-5492	310	1	〈	〈	PROPN
cana-5492	310	2	(	(	PUNCT
cana-5492	310	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	310	4	,	,	PUNCT
cana-5492	310	5	0.4	0.4	NUM
cana-5492	310	6	,	,	PUNCT
cana-5492	310	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	310	8	0.5	0.5	NUM
cana-5492	310	9	,	,	PUNCT
cana-5492	310	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	310	11	0.6	0.6	NUM
cana-5492	310	12	)	)	PUNCT
cana-5492	310	13	,	,	PUNCT
cana-5492	310	14	(	(	PUNCT
cana-5492	310	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	310	16	0.5	0.5	NUM
cana-5492	310	17	,	,	PUNCT
cana-5492	310	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	310	19	0.4	0.4	NUM
cana-5492	310	20	,	,	PUNCT
cana-5492	310	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	310	22	0.8	0.8	NUM
cana-5492	310	23	)	)	PUNCT
cana-5492	310	24	,	,	PUNCT
cana-5492	310	25	(	(	PUNCT
cana-5492	310	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	310	27	0.4	0.4	NUM
cana-5492	310	28	,	,	PUNCT
cana-5492	310	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	310	30	0.5	0.5	NUM
cana-5492	310	31	,	,	PUNCT
cana-5492	310	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	310	33	0.7	0.7	NUM
cana-5492	310	34	)	)	PUNCT
cana-5492	310	35	〉	〉	NOUN
cana-5492	310	36	(	(	PUNCT
cana-5492	310	37	𝑆1,e2	𝑆1,e2	PROPN
cana-5492	310	38	)	)	PUNCT
cana-5492	310	39	=	=	SYM
cana-5492	310	40	〈	〈	PROPN
cana-5492	310	41	(	(	PUNCT
cana-5492	310	42	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	310	43	,	,	PUNCT
cana-5492	310	44	0.2	0.2	NUM
cana-5492	310	45	,	,	PUNCT
cana-5492	310	46	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	310	47	0.4	0.4	NUM
cana-5492	310	48	,	,	PUNCT
cana-5492	310	49	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	310	50	0.6	0.6	NUM
cana-5492	310	51	)	)	PUNCT
cana-5492	310	52	,	,	PUNCT
cana-5492	310	53	(	(	PUNCT
cana-5492	310	54	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	310	55	0.2	0.2	NUM
cana-5492	310	56	,	,	PUNCT
cana-5492	310	57	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	310	58	0.5	0.5	NUM
cana-5492	310	59	,	,	PUNCT
cana-5492	310	60	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	310	61	0.7	0.7	NUM
cana-5492	310	62	)	)	PUNCT
cana-5492	310	63	,	,	PUNCT
cana-5492	310	64	(	(	PUNCT
cana-5492	310	65	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	310	66	0.2	0.2	NUM
cana-5492	310	67	,	,	PUNCT
cana-5492	310	68	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	310	69	0.5	0.5	NUM
cana-5492	310	70	,	,	PUNCT
cana-5492	310	71	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	310	72	0.8	0.8	NUM
cana-5492	310	73	)	)	PUNCT
cana-5492	310	74	〉	〉	NOUN
cana-5492	310	75	(	(	PUNCT
cana-5492	310	76	𝑆2	𝑆2	PROPN
cana-5492	310	77	,	,	PUNCT
cana-5492	310	78	𝑒1	𝑒1	NOUN
cana-5492	310	79	)	)	PUNCT
cana-5492	310	80	=	=	SYM
cana-5492	311	1	〈	〈	PROPN
cana-5492	311	2	(	(	PUNCT
cana-5492	311	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	311	4	,	,	PUNCT
cana-5492	311	5	0.5	0.5	NUM
cana-5492	311	6	,	,	PUNCT
cana-5492	311	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	311	8	0.5	0.5	NUM
cana-5492	311	9	,	,	PUNCT
cana-5492	311	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	311	11	0.6	0.6	NUM
cana-5492	311	12	)	)	PUNCT
cana-5492	311	13	,	,	PUNCT
cana-5492	311	14	(	(	PUNCT
cana-5492	311	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	311	16	0.5	0.5	NUM
cana-5492	311	17	,	,	PUNCT
cana-5492	311	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	311	19	0.5	0.5	NUM
cana-5492	311	20	,	,	PUNCT
cana-5492	311	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	311	22	0.5	0.5	NUM
cana-5492	311	23	)	)	PUNCT
cana-5492	311	24	,	,	PUNCT
cana-5492	311	25	(	(	PUNCT
cana-5492	311	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	311	27	0.6	0.6	NUM
cana-5492	311	28	,	,	PUNCT
cana-5492	311	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	311	30	0.5	0.5	NUM
cana-5492	311	31	,	,	PUNCT
cana-5492	311	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	311	33	0.6	0.6	NUM
cana-5492	311	34	)	)	PUNCT
cana-5492	311	35	〉	〉	NOUN
cana-5492	311	36	(	(	PUNCT
cana-5492	311	37	𝑆2	𝑆2	PROPN
cana-5492	311	38	,	,	PUNCT
cana-5492	311	39	𝑒2	𝑒2	PROPN
cana-5492	311	40	)	)	PUNCT
cana-5492	311	41	=	=	PUNCT
cana-5492	312	1	〈	〈	PROPN
cana-5492	312	2	(	(	PUNCT
cana-5492	312	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	312	4	,	,	PUNCT
cana-5492	312	5	0.4	0.4	NUM
cana-5492	312	6	,	,	PUNCT
cana-5492	312	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	312	8	0.6	0.6	NUM
cana-5492	312	9	,	,	PUNCT
cana-5492	312	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	312	11	0.6	0.6	NUM
cana-5492	312	12	)	)	PUNCT
cana-5492	312	13	,	,	PUNCT
cana-5492	312	14	(	(	PUNCT
cana-5492	312	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	312	16	0.3	0.3	NUM
cana-5492	312	17	,	,	PUNCT
cana-5492	312	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	312	19	0.5	0.5	NUM
cana-5492	312	20	,	,	PUNCT
cana-5492	312	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	312	22	0.7	0.7	NUM
cana-5492	312	23	)	)	PUNCT
cana-5492	312	24	,	,	PUNCT
cana-5492	312	25	(	(	PUNCT
cana-5492	312	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	312	27	0.3	0.3	NUM
cana-5492	312	28	,	,	PUNCT
cana-5492	312	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	312	30	0.7	0.7	NUM
cana-5492	312	31	,	,	PUNCT
cana-5492	312	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	312	33	0.4	0.4	NUM
cana-5492	312	34	)	)	PUNCT
cana-5492	312	35	〉	〉	NOUN
cana-5492	312	36	(	(	PUNCT
cana-5492	312	37	𝑆3	𝑆3	PROPN
cana-5492	312	38	,	,	PUNCT
cana-5492	312	39	𝑒1	𝑒1	NOUN
cana-5492	312	40	)	)	PUNCT
cana-5492	312	41	=	=	SYM
cana-5492	313	1	〈	〈	PROPN
cana-5492	313	2	(	(	PUNCT
cana-5492	313	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	313	4	,	,	PUNCT
cana-5492	313	5	0.3	0.3	NUM
cana-5492	313	6	,	,	PUNCT
cana-5492	313	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	313	8	0.4	0.4	NUM
cana-5492	313	9	,	,	PUNCT
cana-5492	313	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	313	11	0.7	0.7	NUM
cana-5492	313	12	)	)	PUNCT
cana-5492	313	13	,	,	PUNCT
cana-5492	313	14	(	(	PUNCT
cana-5492	313	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	313	16	0.1	0.1	NUM
cana-5492	313	17	,	,	PUNCT
cana-5492	313	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	313	19	0.3	0.3	NUM
cana-5492	313	20	,	,	PUNCT
cana-5492	313	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	313	22	0.8	0.8	NUM
cana-5492	313	23	)	)	PUNCT
cana-5492	313	24	,	,	PUNCT
cana-5492	313	25	(	(	PUNCT
cana-5492	313	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	313	27	0.2	0.2	NUM
cana-5492	313	28	,	,	PUNCT
cana-5492	313	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	313	30	0.3	0.3	NUM
cana-5492	313	31	,	,	PUNCT
cana-5492	313	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	313	33	0.8	0.8	NUM
cana-5492	313	34	)	)	PUNCT
cana-5492	313	35	〉	〉	NOUN
cana-5492	313	36	(	(	PUNCT
cana-5492	313	37	𝑆3	𝑆3	PROPN
cana-5492	313	38	,	,	PUNCT
cana-5492	313	39	𝑒2	𝑒2	PROPN
cana-5492	313	40	)	)	PUNCT
cana-5492	313	41	=	=	PUNCT
cana-5492	314	1	〈	〈	PROPN
cana-5492	314	2	(	(	PUNCT
cana-5492	314	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	314	4	,	,	PUNCT
cana-5492	314	5	0.1	0.1	NUM
cana-5492	314	6	,	,	PUNCT
cana-5492	314	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	314	8	0.3	0.3	NUM
cana-5492	314	9	,	,	PUNCT
cana-5492	314	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	314	11	0.7	0.7	NUM
cana-5492	314	12	)	)	PUNCT
cana-5492	314	13	,	,	PUNCT
cana-5492	314	14	(	(	PUNCT
cana-5492	314	15	𝜇𝑡2	𝜇𝑡2	NOUN
cana-5492	314	16	0.1	0.1	NUM
cana-5492	314	17	,	,	PUNCT
cana-5492	314	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	314	19	0.5	0.5	NUM
cana-5492	314	20	,	,	PUNCT
cana-5492	314	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	314	22	0.8	0.8	NUM
cana-5492	314	23	)	)	PUNCT
cana-5492	314	24	,	,	PUNCT
cana-5492	314	25	(	(	PUNCT
cana-5492	314	26	𝜇𝑡3	𝜇𝑡3	NOUN
cana-5492	314	27	0.1	0.1	NUM
cana-5492	314	28	,	,	PUNCT
cana-5492	314	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	314	30	0.5	0.5	NUM
cana-5492	314	31	,	,	PUNCT
cana-5492	314	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	314	33	0.9	0.9	NUM
cana-5492	314	34	)	)	PUNCT
cana-5492	314	35	〉	〉	NOUN
cana-5492	314	36	(	(	PUNCT
cana-5492	314	37	𝑆4	𝑆4	PROPN
cana-5492	314	38	,	,	PUNCT
cana-5492	314	39	𝑒1	𝑒1	NOUN
cana-5492	314	40	)	)	PUNCT
cana-5492	314	41	=	=	SYM
cana-5492	315	1	〈	〈	PROPN
cana-5492	315	2	(	(	PUNCT
cana-5492	315	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	315	4	,	,	PUNCT
cana-5492	315	5	0.7	0.7	NUM
cana-5492	315	6	,	,	PUNCT
cana-5492	315	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	315	8	0.6	0.6	NUM
cana-5492	315	9	,	,	PUNCT
cana-5492	315	10	𝜈𝑡1	𝜈𝑡1	VERB
cana-5492	315	11	0.3	0.3	NUM
cana-5492	315	12	)	)	PUNCT
cana-5492	315	13	,	,	PUNCT
cana-5492	315	14	(	(	PUNCT
cana-5492	315	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	315	16	0.8	0.8	NUM
cana-5492	315	17	,	,	PUNCT
cana-5492	315	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	315	19	0.7	0.7	NUM
cana-5492	315	20	,	,	PUNCT
cana-5492	315	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	315	22	0.1	0.1	NUM
cana-5492	315	23	)	)	PUNCT
cana-5492	315	24	,	,	PUNCT
cana-5492	315	25	(	(	PUNCT
cana-5492	315	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	315	27	0.8	0.8	NUM
cana-5492	315	28	,	,	PUNCT
cana-5492	315	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	315	30	0.7	0.7	NUM
cana-5492	315	31	,	,	PUNCT
cana-5492	315	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	315	33	0.2	0.2	NUM
cana-5492	315	34	)	)	PUNCT
cana-5492	315	35	〉	〉	NOUN
cana-5492	315	36	(	(	PUNCT
cana-5492	315	37	𝑆4	𝑆4	PROPN
cana-5492	315	38	,	,	PUNCT
cana-5492	315	39	𝑒2	𝑒2	PROPN
cana-5492	315	40	)	)	PUNCT
cana-5492	315	41	=	=	PUNCT
cana-5492	316	1	〈	〈	PROPN
cana-5492	316	2	(	(	PUNCT
cana-5492	316	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	316	4	,	,	PUNCT
cana-5492	316	5	0.7	0.7	NUM
cana-5492	316	6	,	,	PUNCT
cana-5492	316	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	316	8	0.7	0.7	NUM
cana-5492	316	9	,	,	PUNCT
cana-5492	316	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	316	11	0.1	0.1	NUM
cana-5492	316	12	)	)	PUNCT
cana-5492	316	13	,	,	PUNCT
cana-5492	316	14	(	(	PUNCT
cana-5492	316	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	316	16	0.8	0.8	NUM
cana-5492	316	17	,	,	PUNCT
cana-5492	316	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	316	19	0.5	0.5	NUM
cana-5492	316	20	,	,	PUNCT
cana-5492	316	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	316	22	0.1	0.1	NUM
cana-5492	316	23	)	)	PUNCT
cana-5492	316	24	,	,	PUNCT
cana-5492	316	25	(	(	PUNCT
cana-5492	316	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	316	27	0.9	0.9	NUM
cana-5492	316	28	,	,	PUNCT
cana-5492	316	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	316	30	0.5	0.5	NUM
cana-5492	316	31	,	,	PUNCT
cana-5492	316	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	316	33	0.1	0.1	NUM
cana-5492	316	34	)	)	PUNCT
cana-5492	316	35	〉	〉	NOUN
cana-5492	316	36	communications	communication	NOUN
cana-5492	316	37	on	on	ADP
cana-5492	316	38	applied	apply	VERB
cana-5492	316	39	nonlinear	nonlinear	ADJ
cana-5492	316	40	analysis	analysis	NOUN
cana-5492	316	41	issn	issn	NOUN
cana-5492	316	42	:	:	PUNCT
cana-5492	316	43	1074	1074	NUM
cana-5492	316	44	-	-	PUNCT
cana-5492	316	45	133x	133x	NUM
cana-5492	316	46	vol	vol	VERB
cana-5492	316	47	32	32	NUM
cana-5492	316	48	no	no	NOUN
cana-5492	316	49	.	.	PUNCT
cana-5492	317	1	10s	10	NOUN
cana-5492	317	2	(	(	PUNCT
cana-5492	317	3	2025	2025	NUM
cana-5492	317	4	)	)	PUNCT
cana-5492	317	5	2456	2456	NUM
cana-5492	317	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	318	1	then	then	ADV
cana-5492	318	2	,	,	PUNCT
cana-5492	318	3	we	we	PRON
cana-5492	318	4	have	have	VERB
cana-5492	318	5	τ	τ	X
cana-5492	318	6	=	=	X
cana-5492	318	7	{	{	PUNCT
cana-5492	318	8	0(𝕎,𝜚	0(𝕎,𝜚	NUM
cana-5492	318	9	)	)	PUNCT
cana-5492	318	10	,	,	PUNCT
cana-5492	318	11	1(𝕎	1(𝕎	INTJ
cana-5492	318	12	,	,	PUNCT
cana-5492	318	13	𝜚	𝜚	NOUN
cana-5492	318	14	)	)	PUNCT
cana-5492	318	15	,	,	PUNCT
cana-5492	318	16	(	(	PUNCT
cana-5492	318	17	𝑉1	𝑉1	NOUN
cana-5492	318	18	,	,	PUNCT
cana-5492	318	19	ϱ	ϱ	NOUN
cana-5492	318	20	)	)	PUNCT
cana-5492	318	21	}	}	PUNCT
cana-5492	318	22	and	and	CCONJ
cana-5492	318	23	𝜎	𝜎	X
cana-5492	318	24	=	=	X
cana-5492	318	25	{	{	PUNCT
cana-5492	318	26	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	318	27	)	)	PUNCT
cana-5492	318	28	,	,	PUNCT
cana-5492	318	29	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	318	30	)	)	PUNCT
cana-5492	318	31	,	,	PUNCT
cana-5492	318	32	(	(	PUNCT
cana-5492	318	33	𝑆1	𝑆1	PROPN
cana-5492	318	34	,	,	PUNCT
cana-5492	318	35	ϱ	ϱ	NOUN
cana-5492	318	36	)	)	PUNCT
cana-5492	318	37	,	,	PUNCT
cana-5492	318	38	(	(	PUNCT
cana-5492	318	39	𝑆2	𝑆2	PROPN
cana-5492	318	40	,	,	PUNCT
cana-5492	318	41	ϱ	ϱ	NOUN
cana-5492	318	42	)	)	PUNCT
cana-5492	318	43	,	,	PUNCT
cana-5492	318	44	(	(	PUNCT
cana-5492	318	45	𝑆3	𝑆3	PROPN
cana-5492	318	46	,	,	PUNCT
cana-5492	318	47	ϱ	ϱ	NOUN
cana-5492	318	48	)	)	PUNCT
cana-5492	318	49	}	}	PUNCT
cana-5492	318	50	.	.	PUNCT
cana-5492	319	1	let	let	VERB
cana-5492	319	2	𝒢	𝒢	PROPN
cana-5492	319	3	∶	∶	NOUN
cana-5492	319	4	(	(	PUNCT
cana-5492	319	5	𝕎	𝕎	PROPN
cana-5492	319	6	,	,	PUNCT
cana-5492	319	7	τ	τ	PROPN
cana-5492	319	8	,	,	PUNCT
cana-5492	319	9	ϱ	ϱ	PROPN
cana-5492	319	10	)	)	PUNCT
cana-5492	319	11	→	→	SYM
cana-5492	319	12	(	(	PUNCT
cana-5492	319	13	𝕋	𝕋	PROPN
cana-5492	319	14	,	,	PUNCT
cana-5492	319	15	σ	σ	PROPN
cana-5492	319	16	,	,	PUNCT
cana-5492	319	17	ϱ	ϱ	NOUN
cana-5492	319	18	)	)	PUNCT
cana-5492	319	19	be	be	VERB
cana-5492	319	20	an	an	DET
cana-5492	319	21	identity	identity	NOUN
cana-5492	319	22	mapping	mapping	NOUN
cana-5492	319	23	,	,	PUNCT
cana-5492	319	24	then	then	ADV
cana-5492	319	25	𝒢	𝒢	PROPN
cana-5492	319	26	is	be	AUX
cana-5492	319	27	a	a	DET
cana-5492	319	28	nscontrazo	nscontrazo	ADJ
cana-5492	319	29	but	but	CCONJ
cana-5492	319	30	not	not	PART
cana-5492	319	31	nscontraδso	nscontraδso	PROPN
cana-5492	319	32	,	,	PUNCT
cana-5492	319	33	because	because	SCONJ
cana-5492	319	34	the	the	DET
cana-5492	319	35	set	set	NOUN
cana-5492	319	36	𝒢	𝒢	PROPN
cana-5492	319	37	(	(	PUNCT
cana-5492	319	38	𝑉1	𝑉1	PROPN
cana-5492	319	39	,	,	PUNCT
cana-5492	319	40	ϱ	ϱ	NOUN
cana-5492	319	41	)	)	PUNCT
cana-5492	319	42	=	=	SYM
cana-5492	319	43	(	(	PUNCT
cana-5492	319	44	𝑆4	𝑆4	PROPN
cana-5492	319	45	,	,	PUNCT
cana-5492	319	46	ϱ	ϱ	NOUN
cana-5492	319	47	)	)	PUNCT
cana-5492	319	48	is	be	AUX
cana-5492	319	49	a	a	DET
cana-5492	319	50	nszcs	nszcs	NOUN
cana-5492	319	51	but	but	CCONJ
cana-5492	319	52	not	not	PART
cana-5492	319	53	nsδscs	nsδsc	NOUN
cana-5492	319	54	.	.	PUNCT
cana-5492	320	1	remark	remark	PROPN
cana-5492	320	2	5.1	5.1	NUM
cana-5492	320	3	from	from	ADP
cana-5492	320	4	the	the	DET
cana-5492	320	5	results	result	NOUN
cana-5492	320	6	discussed	discuss	VERB
cana-5492	320	7	above	above	ADV
cana-5492	320	8	,	,	PUNCT
cana-5492	320	9	the	the	DET
cana-5492	320	10	following	follow	VERB
cana-5492	320	11	diagram	diagram	NOUN
cana-5492	320	12	is	be	AUX
cana-5492	320	13	obtained	obtain	VERB
cana-5492	320	14	.	.	PUNCT
cana-5492	321	1	diagram.2	diagram.2	VERB
cana-5492	321	2	neutrosophic	neutrosophic	ADJ
cana-5492	321	3	soft	soft	ADJ
cana-5492	321	4	contra	contra	PROPN
cana-5492	321	5	z	z	PROPN
cana-5492	321	6	–	–	PUNCT
cana-5492	321	7	open	open	ADJ
cana-5492	321	8	maps	map	NOUN
cana-5492	321	9	example	example	NOUN
cana-5492	321	10	5.5	5.5	NUM
cana-5492	321	11	let	let	VERB
cana-5492	321	12	𝕎	𝕎	PROPN
cana-5492	321	13	=	=	SYM
cana-5492	321	14	{	{	PUNCT
cana-5492	321	15	𝑤1	𝑤1	PROPN
cana-5492	321	16	,	,	PUNCT
cana-5492	321	17	𝑤2	𝑤2	NOUN
cana-5492	321	18	,	,	PUNCT
cana-5492	321	19	𝑤3	𝑤3	NOUN
cana-5492	321	20	}	}	PUNCT
cana-5492	321	21	=	=	SYM
cana-5492	321	22	{	{	PUNCT
cana-5492	321	23	𝑡1	𝑡1	NOUN
cana-5492	321	24	,	,	PUNCT
cana-5492	321	25	𝑡2	𝑡2	PROPN
cana-5492	321	26	,	,	PUNCT
cana-5492	321	27	𝑡3	𝑡3	PROPN
cana-5492	321	28	}	}	PUNCT
cana-5492	321	29	=	=	SYM
cana-5492	321	30	𝕋	𝕋	PROPN
cana-5492	321	31	,	,	PUNCT
cana-5492	321	32	ϱ	ϱ	NOUN
cana-5492	321	33	=	=	SYM
cana-5492	321	34	{	{	PUNCT
cana-5492	321	35	𝑒1	𝑒1	NOUN
cana-5492	321	36	,	,	PUNCT
cana-5492	321	37	𝑒2	𝑒2	NOUN
cana-5492	321	38	}	}	PUNCT
cana-5492	321	39	and	and	CCONJ
cana-5492	321	40	ns	ns	NUM
cana-5492	321	41	sets	set	NOUN
cana-5492	321	42	(	(	PUNCT
cana-5492	321	43	𝑄1	𝑄1	NOUN
cana-5492	321	44	,	,	PUNCT
cana-5492	321	45	ϱ	ϱ	NOUN
cana-5492	321	46	)	)	PUNCT
cana-5492	321	47	in	in	ADP
cana-5492	321	48	𝕎	𝕎	PROPN
cana-5492	321	49	and	and	CCONJ
cana-5492	321	50	(	(	PUNCT
cana-5492	321	51	𝑃1,ϱ	𝑃1,ϱ	PROPN
cana-5492	321	52	)	)	PUNCT
cana-5492	321	53	,	,	PUNCT
cana-5492	321	54	(	(	PUNCT
cana-5492	321	55	𝑃2,ϱ	𝑃2,ϱ	PROPN
cana-5492	321	56	)	)	PUNCT
cana-5492	321	57	and	and	CCONJ
cana-5492	321	58	(	(	PUNCT
cana-5492	321	59	𝑃3,ϱ	𝑃3,ϱ	PROPN
cana-5492	321	60	)	)	PUNCT
cana-5492	321	61	in	in	ADP
cana-5492	321	62	𝕋	𝕋	NOUN
cana-5492	321	63	are	be	AUX
cana-5492	321	64	defined	define	VERB
cana-5492	321	65	as	as	ADP
cana-5492	321	66	(	(	PUNCT
cana-5492	321	67	𝑄1	𝑄1	NOUN
cana-5492	321	68	,	,	PUNCT
cana-5492	321	69	𝑒1	𝑒1	NOUN
cana-5492	321	70	)	)	PUNCT
cana-5492	321	71	=	=	PUNCT
cana-5492	322	1	〈	〈	PROPN
cana-5492	322	2	(	(	PUNCT
cana-5492	322	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	322	4	,	,	PUNCT
cana-5492	322	5	0.4	0.4	NUM
cana-5492	322	6	,	,	PUNCT
cana-5492	322	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	322	8	0.5	0.5	NUM
cana-5492	322	9	,	,	PUNCT
cana-5492	322	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	322	11	0.4	0.4	NUM
cana-5492	322	12	)	)	PUNCT
cana-5492	322	13	,	,	PUNCT
cana-5492	322	14	(	(	PUNCT
cana-5492	322	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	322	16	0.5	0.5	NUM
cana-5492	322	17	,	,	PUNCT
cana-5492	322	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	322	19	0.5	0.5	NUM
cana-5492	322	20	,	,	PUNCT
cana-5492	322	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	322	22	0.5	0.5	NUM
cana-5492	322	23	)	)	PUNCT
cana-5492	322	24	,	,	PUNCT
cana-5492	322	25	(	(	PUNCT
cana-5492	322	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	322	27	0.3	0.3	NUM
cana-5492	322	28	,	,	PUNCT
cana-5492	322	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	322	30	0.5	0.5	NUM
cana-5492	322	31	,	,	PUNCT
cana-5492	322	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	322	33	0.7	0.7	NUM
cana-5492	322	34	)	)	PUNCT
cana-5492	322	35	〉	〉	NOUN
cana-5492	322	36	(	(	PUNCT
cana-5492	322	37	𝑄1	𝑄1	PROPN
cana-5492	322	38	,	,	PUNCT
cana-5492	322	39	𝑒2	𝑒2	PROPN
cana-5492	322	40	)	)	PUNCT
cana-5492	322	41	=	=	PUNCT
cana-5492	323	1	〈	〈	PROPN
cana-5492	323	2	(	(	PUNCT
cana-5492	323	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	323	4	,	,	PUNCT
cana-5492	323	5	0.6	0.6	NUM
cana-5492	323	6	,	,	PUNCT
cana-5492	323	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	323	8	0.5	0.5	NUM
cana-5492	323	9	,	,	PUNCT
cana-5492	323	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	323	11	0.6	0.6	NUM
cana-5492	323	12	)	)	PUNCT
cana-5492	323	13	,	,	PUNCT
cana-5492	323	14	(	(	PUNCT
cana-5492	323	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	323	16	0.4	0.4	NUM
cana-5492	323	17	,	,	PUNCT
cana-5492	323	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	323	19	0.5	0.5	NUM
cana-5492	323	20	,	,	PUNCT
cana-5492	323	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	323	22	0.8	0.8	NUM
cana-5492	323	23	)	)	PUNCT
cana-5492	323	24	,	,	PUNCT
cana-5492	323	25	(	(	PUNCT
cana-5492	323	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	323	27	0.4	0.4	NUM
cana-5492	323	28	,	,	PUNCT
cana-5492	323	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	323	30	0.3	0.3	NUM
cana-5492	323	31	,	,	PUNCT
cana-5492	323	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	323	33	0.7	0.7	NUM
cana-5492	323	34	)	)	PUNCT
cana-5492	323	35	〉	〉	NOUN
cana-5492	323	36	(	(	PUNCT
cana-5492	323	37	𝑃1	𝑃1	NOUN
cana-5492	323	38	,	,	PUNCT
cana-5492	323	39	𝑒1	𝑒1	NOUN
cana-5492	323	40	)	)	PUNCT
cana-5492	323	41	=	=	SYM
cana-5492	324	1	〈	〈	PROPN
cana-5492	324	2	(	(	PUNCT
cana-5492	324	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	324	4	,	,	PUNCT
cana-5492	324	5	0.3	0.3	NUM
cana-5492	324	6	,	,	PUNCT
cana-5492	324	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	324	8	0.5	0.5	NUM
cana-5492	324	9	,	,	PUNCT
cana-5492	324	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	324	11	0.7	0.7	NUM
cana-5492	324	12	)	)	PUNCT
cana-5492	324	13	,	,	PUNCT
cana-5492	324	14	(	(	PUNCT
cana-5492	324	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	324	16	0.4	0.4	NUM
cana-5492	324	17	,	,	PUNCT
cana-5492	324	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	324	19	0.3	0.3	NUM
cana-5492	324	20	,	,	PUNCT
cana-5492	324	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	324	22	0.9	0.9	NUM
cana-5492	324	23	)	)	PUNCT
cana-5492	324	24	,	,	PUNCT
cana-5492	324	25	(	(	PUNCT
cana-5492	324	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	324	27	0.2	0.2	NUM
cana-5492	324	28	,	,	PUNCT
cana-5492	324	29	𝜎𝑡3	𝜎𝑡3	PROPN
cana-5492	324	30	0.4	0.4	NUM
cana-5492	324	31	,	,	PUNCT
cana-5492	324	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	324	33	0.8	0.8	NUM
cana-5492	324	34	)	)	PUNCT
cana-5492	324	35	〉	〉	NOUN
cana-5492	324	36	(	(	PUNCT
cana-5492	324	37	𝑃1	𝑃1	NOUN
cana-5492	324	38	,	,	PUNCT
cana-5492	324	39	𝑒2	𝑒2	NOUN
cana-5492	324	40	)	)	PUNCT
cana-5492	324	41	=	=	PUNCT
cana-5492	325	1	〈	〈	PROPN
cana-5492	325	2	(	(	PUNCT
cana-5492	325	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	325	4	,	,	PUNCT
cana-5492	325	5	0.5	0.5	NUM
cana-5492	325	6	,	,	PUNCT
cana-5492	325	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	325	8	0.5	0.5	NUM
cana-5492	325	9	,	,	PUNCT
cana-5492	325	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	325	11	0.7	0.7	NUM
cana-5492	325	12	)	)	PUNCT
cana-5492	325	13	,	,	PUNCT
cana-5492	325	14	(	(	PUNCT
cana-5492	325	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	325	16	0.3	0.3	NUM
cana-5492	325	17	,	,	PUNCT
cana-5492	325	18	𝜎𝑡2	𝜎𝑡2	ADV
cana-5492	325	19	0.4	0.4	NUM
cana-5492	325	20	,	,	PUNCT
cana-5492	325	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	325	22	0.8	0.8	NUM
cana-5492	325	23	)	)	PUNCT
cana-5492	325	24	,	,	PUNCT
cana-5492	325	25	(	(	PUNCT
cana-5492	325	26	𝜇𝑡3	𝜇𝑡3	NOUN
cana-5492	325	27	0.1	0.1	NUM
cana-5492	325	28	,	,	PUNCT
cana-5492	325	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	325	30	0.3	0.3	NUM
cana-5492	325	31	,	,	PUNCT
cana-5492	325	32	𝜈𝑡3	𝜈𝑡3	PROPN
cana-5492	325	33	0.8	0.8	NUM
cana-5492	325	34	)	)	PUNCT
cana-5492	325	35	〉	〉	NOUN
cana-5492	325	36	(	(	PUNCT
cana-5492	325	37	𝑃2	𝑃2	PROPN
cana-5492	325	38	,	,	PUNCT
cana-5492	325	39	𝑒1	𝑒1	NOUN
cana-5492	325	40	)	)	PUNCT
cana-5492	325	41	=	=	SYM
cana-5492	326	1	〈	〈	PROPN
cana-5492	326	2	(	(	PUNCT
cana-5492	326	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	326	4	,	,	PUNCT
cana-5492	326	5	0.4	0.4	NUM
cana-5492	326	6	,	,	PUNCT
cana-5492	326	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	326	8	0.5	0.5	NUM
cana-5492	326	9	,	,	PUNCT
cana-5492	326	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	326	11	0.6	0.6	NUM
cana-5492	326	12	)	)	PUNCT
cana-5492	326	13	,	,	PUNCT
cana-5492	326	14	(	(	PUNCT
cana-5492	326	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	326	16	0.6	0.6	NUM
cana-5492	326	17	,	,	PUNCT
cana-5492	326	18	𝜎𝑡2	𝜎𝑡2	ADV
cana-5492	326	19	0.3	0.3	NUM
cana-5492	326	20	,	,	PUNCT
cana-5492	326	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	326	22	0.6	0.6	NUM
cana-5492	326	23	)	)	PUNCT
cana-5492	326	24	,	,	PUNCT
cana-5492	326	25	(	(	PUNCT
cana-5492	326	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	326	27	0.3	0.3	NUM
cana-5492	326	28	,	,	PUNCT
cana-5492	326	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	326	30	0.5	0.5	NUM
cana-5492	326	31	,	,	PUNCT
cana-5492	326	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	326	33	0.5	0.5	NUM
cana-5492	326	34	)	)	PUNCT
cana-5492	326	35	〉	〉	NOUN
cana-5492	326	36	(	(	PUNCT
cana-5492	326	37	𝑃2	𝑃2	PROPN
cana-5492	326	38	,	,	PUNCT
cana-5492	326	39	𝑒2	𝑒2	NOUN
cana-5492	326	40	)	)	PUNCT
cana-5492	326	41	=	=	PUNCT
cana-5492	327	1	〈	〈	PROPN
cana-5492	327	2	(	(	PUNCT
cana-5492	327	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	327	4	,	,	PUNCT
cana-5492	327	5	0.5	0.5	NUM
cana-5492	327	6	,	,	PUNCT
cana-5492	327	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	327	8	0.5	0.5	NUM
cana-5492	327	9	,	,	PUNCT
cana-5492	327	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	327	11	0.5	0.5	NUM
cana-5492	327	12	)	)	PUNCT
cana-5492	327	13	,	,	PUNCT
cana-5492	327	14	(	(	PUNCT
cana-5492	327	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	327	16	0.4	0.4	NUM
cana-5492	327	17	,	,	PUNCT
cana-5492	327	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	327	19	0.5	0.5	NUM
cana-5492	327	20	,	,	PUNCT
cana-5492	327	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	327	22	0.7	0.7	NUM
cana-5492	327	23	)	)	PUNCT
cana-5492	327	24	,	,	PUNCT
cana-5492	327	25	(	(	PUNCT
cana-5492	327	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	327	27	0.2	0.2	NUM
cana-5492	327	28	,	,	PUNCT
cana-5492	327	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	327	30	0.4	0.4	NUM
cana-5492	327	31	,	,	PUNCT
cana-5492	327	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	327	33	0.6	0.6	NUM
cana-5492	327	34	)	)	PUNCT
cana-5492	327	35	〉	〉	NOUN
cana-5492	327	36	(	(	PUNCT
cana-5492	327	37	𝑃3	𝑃3	NOUN
cana-5492	327	38	,	,	PUNCT
cana-5492	327	39	𝑒1	𝑒1	NOUN
cana-5492	327	40	)	)	PUNCT
cana-5492	327	41	=	=	SYM
cana-5492	328	1	〈	〈	PROPN
cana-5492	328	2	(	(	PUNCT
cana-5492	328	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	328	4	,	,	PUNCT
cana-5492	328	5	0.4	0.4	NUM
cana-5492	328	6	,	,	PUNCT
cana-5492	328	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	328	8	0.5	0.5	NUM
cana-5492	328	9	,	,	PUNCT
cana-5492	328	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	328	11	0.4	0.4	NUM
cana-5492	328	12	)	)	PUNCT
cana-5492	328	13	,	,	PUNCT
cana-5492	328	14	(	(	PUNCT
cana-5492	328	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	328	16	0.5	0.5	NUM
cana-5492	328	17	,	,	PUNCT
cana-5492	328	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	328	19	0.5	0.5	NUM
cana-5492	328	20	,	,	PUNCT
cana-5492	328	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	328	22	0.5	0.5	NUM
cana-5492	328	23	)	)	PUNCT
cana-5492	328	24	,	,	PUNCT
cana-5492	328	25	(	(	PUNCT
cana-5492	328	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	328	27	0.3	0.3	NUM
cana-5492	328	28	,	,	PUNCT
cana-5492	328	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	328	30	0.5	0.5	NUM
cana-5492	328	31	,	,	PUNCT
cana-5492	328	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	328	33	0.7	0.7	NUM
cana-5492	328	34	)	)	PUNCT
cana-5492	328	35	〉	〉	NOUN
cana-5492	328	36	nscontra𝛿o	nscontra𝛿o	ADJ
cana-5492	328	37	nnnnnsnsc𝛿	nnnnnsnsc𝛿	NOUN
cana-5492	328	38	os	os	PROPN
cana-5492	328	39	nscontrao	nscontrao	PROPN
cana-5492	328	40	ns	ns	ADJ
cana-5492	328	41	type	type	NOUN
cana-5492	328	42	equation	equation	NOUN
cana-5492	328	43	here	here	ADV
cana-5492	328	44	.	.	PUNCT
cana-5492	329	1	os	os	PROPN
cana-5492	329	2	nscontrapo	nscontrapo	PROPN
cana-5492	329	3	nscontra𝛿so	nscontra𝛿so	PROPN
cana-5492	329	4	nscontrazo	nscontrazo	ADJ
cana-5492	329	5	ns	ns	NUM
cana-5492	329	6	type	type	NOUN
cana-5492	329	7	equation	equation	NOUN
cana-5492	329	8	here	here	ADV
cana-5492	329	9	.	.	PUNCT
cana-5492	330	1	os	os	INTJ
cana-5492	330	2	nscontraeo	nscontraeo	INTJ
cana-5492	330	3	ns	ns	ADJ
cana-5492	330	4	type	type	NOUN
cana-5492	330	5	equation	equation	NOUN
cana-5492	330	6	here	here	ADV
cana-5492	330	7	.	.	PUNCT
cana-5492	331	1	os	os	NOUN
cana-5492	331	2	communications	communication	NOUN
cana-5492	331	3	on	on	ADP
cana-5492	331	4	applied	apply	VERB
cana-5492	331	5	nonlinear	nonlinear	ADJ
cana-5492	331	6	analysis	analysis	NOUN
cana-5492	331	7	issn	issn	NOUN
cana-5492	331	8	:	:	PUNCT
cana-5492	331	9	1074	1074	NUM
cana-5492	331	10	-	-	PUNCT
cana-5492	331	11	133x	133x	NUM
cana-5492	331	12	vol	vol	VERB
cana-5492	331	13	32	32	NUM
cana-5492	331	14	no	no	NOUN
cana-5492	331	15	.	.	PUNCT
cana-5492	332	1	10s	10	NOUN
cana-5492	332	2	(	(	PUNCT
cana-5492	332	3	2025	2025	NUM
cana-5492	332	4	)	)	PUNCT
cana-5492	332	5	2457	2457	NUM
cana-5492	332	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	332	7	(	(	PUNCT
cana-5492	332	8	𝑃3	𝑃3	NOUN
cana-5492	332	9	,	,	PUNCT
cana-5492	332	10	𝑒2	𝑒2	NOUN
cana-5492	332	11	)	)	PUNCT
cana-5492	332	12	=	=	PUNCT
cana-5492	333	1	〈	〈	PROPN
cana-5492	333	2	(	(	PUNCT
cana-5492	333	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	333	4	,	,	PUNCT
cana-5492	333	5	0.6	0.6	NUM
cana-5492	333	6	,	,	PUNCT
cana-5492	333	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	333	8	0.5	0.5	NUM
cana-5492	333	9	,	,	PUNCT
cana-5492	333	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	333	11	0.6	0.6	NUM
cana-5492	333	12	)	)	PUNCT
cana-5492	333	13	,	,	PUNCT
cana-5492	333	14	(	(	PUNCT
cana-5492	333	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	333	16	0.4	0.4	NUM
cana-5492	333	17	,	,	PUNCT
cana-5492	333	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	333	19	0.5	0.5	NUM
cana-5492	333	20	,	,	PUNCT
cana-5492	333	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	333	22	0.8	0.8	NUM
cana-5492	333	23	)	)	PUNCT
cana-5492	333	24	,	,	PUNCT
cana-5492	333	25	(	(	PUNCT
cana-5492	333	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	333	27	0.4	0.4	NUM
cana-5492	333	28	,	,	PUNCT
cana-5492	333	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	333	30	0.3	0.3	NUM
cana-5492	333	31	,	,	PUNCT
cana-5492	333	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	333	33	0.7	0.7	NUM
cana-5492	333	34	)	)	PUNCT
cana-5492	333	35	〉	〉	NOUN
cana-5492	333	36	then	then	ADV
cana-5492	333	37	,	,	PUNCT
cana-5492	333	38	we	we	PRON
cana-5492	333	39	have	have	VERB
cana-5492	333	40	τ	τ	X
cana-5492	333	41	=	=	SYM
cana-5492	333	42	{	{	PUNCT
cana-5492	333	43	0(𝕎	0(𝕎	INTJ
cana-5492	333	44	,	,	PUNCT
cana-5492	333	45	𝜚	𝜚	NOUN
cana-5492	333	46	)	)	PUNCT
cana-5492	333	47	,	,	PUNCT
cana-5492	333	48	1(𝕎	1(𝕎	INTJ
cana-5492	333	49	,	,	PUNCT
cana-5492	333	50	𝜚	𝜚	NOUN
cana-5492	333	51	)	)	PUNCT
cana-5492	333	52	,	,	PUNCT
cana-5492	333	53	(	(	PUNCT
cana-5492	333	54	𝑄1	𝑄1	NOUN
cana-5492	333	55	,	,	PUNCT
cana-5492	333	56	ϱ	ϱ	NOUN
cana-5492	333	57	)	)	PUNCT
cana-5492	333	58	}	}	PUNCT
cana-5492	333	59	and	and	CCONJ
cana-5492	333	60	𝜎	𝜎	X
cana-5492	333	61	=	=	X
cana-5492	333	62	{	{	PUNCT
cana-5492	333	63	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	333	64	)	)	PUNCT
cana-5492	333	65	,	,	PUNCT
cana-5492	333	66	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	333	67	)	)	PUNCT
cana-5492	333	68	,	,	PUNCT
cana-5492	333	69	(	(	PUNCT
cana-5492	333	70	𝑃1	𝑃1	NOUN
cana-5492	333	71	,	,	PUNCT
cana-5492	333	72	ϱ	ϱ	NOUN
cana-5492	333	73	)	)	PUNCT
cana-5492	333	74	,	,	PUNCT
cana-5492	333	75	(	(	PUNCT
cana-5492	333	76	𝑃2	𝑃2	PROPN
cana-5492	333	77	,	,	PUNCT
cana-5492	333	78	ϱ	ϱ	NOUN
cana-5492	333	79	)	)	PUNCT
cana-5492	333	80	}	}	PUNCT
cana-5492	333	81	.	.	PUNCT
cana-5492	334	1	let	let	VERB
cana-5492	334	2	𝒢	𝒢	PROPN
cana-5492	334	3	∶	∶	NOUN
cana-5492	334	4	(	(	PUNCT
cana-5492	334	5	𝕎	𝕎	PROPN
cana-5492	334	6	,	,	PUNCT
cana-5492	334	7	τ	τ	PROPN
cana-5492	334	8	,	,	PUNCT
cana-5492	334	9	ϱ	ϱ	PROPN
cana-5492	334	10	)	)	PUNCT
cana-5492	334	11	→	→	SYM
cana-5492	334	12	(	(	PUNCT
cana-5492	334	13	𝕋	𝕋	PROPN
cana-5492	334	14	,	,	PUNCT
cana-5492	334	15	σ	σ	PROPN
cana-5492	334	16	,	,	PUNCT
cana-5492	334	17	ϱ	ϱ	NOUN
cana-5492	334	18	)	)	PUNCT
cana-5492	334	19	be	be	VERB
cana-5492	334	20	an	an	DET
cana-5492	334	21	identity	identity	NOUN
cana-5492	334	22	mapping	mapping	NOUN
cana-5492	334	23	,	,	PUNCT
cana-5492	334	24	then	then	ADV
cana-5492	334	25	𝒢	𝒢	PROPN
cana-5492	334	26	is	be	AUX
cana-5492	334	27	a	a	DET
cana-5492	334	28	nscontraeo	nscontraeo	NOUN
cana-5492	334	29	but	but	CCONJ
cana-5492	334	30	not	not	PART
cana-5492	334	31	nscontrazo	nscontrazo	ADJ
cana-5492	334	32	,	,	PUNCT
cana-5492	334	33	because	because	SCONJ
cana-5492	334	34	the	the	DET
cana-5492	334	35	set	set	NOUN
cana-5492	334	36	𝒢(𝑄1	𝒢(𝑄1	NOUN
cana-5492	334	37	,	,	PUNCT
cana-5492	334	38	ϱ	ϱ	NOUN
cana-5492	334	39	)	)	PUNCT
cana-5492	334	40	=	=	SYM
cana-5492	334	41	(	(	PUNCT
cana-5492	334	42	𝑃3	𝑃3	NOUN
cana-5492	334	43	,	,	PUNCT
cana-5492	334	44	ϱ	ϱ	NOUN
cana-5492	334	45	)	)	PUNCT
cana-5492	334	46	is	be	AUX
cana-5492	334	47	a	a	DET
cana-5492	334	48	nsecs	nsec	NOUN
cana-5492	334	49	but	but	CCONJ
cana-5492	334	50	not	not	PART
cana-5492	334	51	ns𝑍cs	ns𝑍cs	NOUN
cana-5492	334	52	.	.	PUNCT
cana-5492	335	1	theorem	theorem	VERB
cana-5492	335	2	5.2	5.2	NUM
cana-5492	335	3	a	a	DET
cana-5492	335	4	mapping	mapping	NOUN
cana-5492	335	5	𝒢	𝒢	PROPN
cana-5492	335	6	∶	∶	NOUN
cana-5492	335	7	(	(	PUNCT
cana-5492	335	8	𝕎	𝕎	PROPN
cana-5492	335	9	,	,	PUNCT
cana-5492	335	10	τ	τ	PROPN
cana-5492	335	11	,	,	PUNCT
cana-5492	335	12	ϱ	ϱ	PROPN
cana-5492	335	13	)	)	PUNCT
cana-5492	335	14	→	→	SYM
cana-5492	335	15	(	(	PUNCT
cana-5492	335	16	𝕋	𝕋	PROPN
cana-5492	335	17	,	,	PUNCT
cana-5492	335	18	σ	σ	PROPN
cana-5492	335	19	,	,	PUNCT
cana-5492	335	20	ϱ	ϱ	NOUN
cana-5492	335	21	)	)	PUNCT
cana-5492	335	22	is	be	AUX
cana-5492	335	23	nscontrazo	nscontrazo	ADJ
cana-5492	335	24	iff	iff	NOUN
cana-5492	335	25	for	for	ADP
cana-5492	335	26	every	every	DET
cana-5492	335	27	nss	nss	NOUN
cana-5492	335	28	(	(	PUNCT
cana-5492	335	29	𝑆	𝑆	PROPN
cana-5492	335	30	,	,	PUNCT
cana-5492	335	31	ϱ	ϱ	NOUN
cana-5492	335	32	)	)	PUNCT
cana-5492	335	33	of	of	ADP
cana-5492	335	34	(	(	PUNCT
cana-5492	335	35	𝕎	𝕎	PROPN
cana-5492	335	36	,	,	PUNCT
cana-5492	335	37	τ	τ	PROPN
cana-5492	335	38	,	,	PUNCT
cana-5492	335	39	ϱ	ϱ	NOUN
cana-5492	335	40	)	)	PUNCT
cana-5492	335	41	,	,	PUNCT
cana-5492	335	42	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	335	43	,	,	PUNCT
cana-5492	335	44	ϱ	ϱ	NOUN
cana-5492	335	45	)	)	PUNCT
cana-5492	335	46	)	)	PUNCT
cana-5492	335	47	⊇	⊇	PROPN
cana-5492	335	48	nszcl(𝒢(s	nszcl(𝒢(s	PROPN
cana-5492	335	49	,	,	PUNCT
cana-5492	335	50	ϱ	ϱ	NOUN
cana-5492	335	51	)	)	PUNCT
cana-5492	335	52	)	)	PUNCT
cana-5492	335	53	.	.	PUNCT
cana-5492	336	1	proof	proof	NOUN
cana-5492	336	2	.	.	PUNCT
cana-5492	337	1	necessity	necessity	NOUN
cana-5492	337	2	:	:	PUNCT
cana-5492	337	3	assume	assume	VERB
cana-5492	337	4	𝒢	𝒢	PROPN
cana-5492	337	5	is	be	AUX
cana-5492	337	6	a	a	DET
cana-5492	337	7	nscontrazo	nscontrazo	ADJ
cana-5492	337	8	mapping	mapping	NOUN
cana-5492	337	9	and	and	CCONJ
cana-5492	337	10	(	(	PUNCT
cana-5492	337	11	𝑆	𝑆	PROPN
cana-5492	337	12	,	,	PUNCT
cana-5492	337	13	ϱ	ϱ	PROPN
cana-5492	337	14	)	)	PUNCT
cana-5492	337	15	is	be	AUX
cana-5492	337	16	a	a	DET
cana-5492	337	17	nsos	nsos	NOUN
cana-5492	337	18	(	(	PUNCT
cana-5492	337	19	𝕎	𝕎	PROPN
cana-5492	337	20	,	,	PUNCT
cana-5492	337	21	τ	τ	PROPN
cana-5492	337	22	,	,	PUNCT
cana-5492	337	23	ϱ	ϱ	NOUN
cana-5492	337	24	)	)	PUNCT
cana-5492	337	25	.	.	PUNCT
cana-5492	338	1	now	now	ADV
cana-5492	338	2	,	,	PUNCT
cana-5492	338	3	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	338	4	,	,	PUNCT
cana-5492	338	5	ϱ	ϱ	NOUN
cana-5492	338	6	)	)	PUNCT
cana-5492	338	7	)	)	PUNCT
cana-5492	338	8	⊆	⊆	NUM
cana-5492	338	9	(	(	PUNCT
cana-5492	338	10	𝑆	𝑆	PROPN
cana-5492	338	11	,	,	PUNCT
cana-5492	338	12	ϱ	ϱ	NOUN
cana-5492	338	13	)	)	PUNCT
cana-5492	338	14	implies	imply	VERB
cana-5492	338	15	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	338	16	,	,	PUNCT
cana-5492	338	17	ϱ	ϱ	NOUN
cana-5492	338	18	)	)	PUNCT
cana-5492	338	19	)	)	PUNCT
cana-5492	339	1	⊆	⊆	NUM
cana-5492	339	2	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	339	3	,	,	PUNCT
cana-5492	339	4	ϱ	ϱ	NOUN
cana-5492	339	5	)	)	PUNCT
cana-5492	339	6	.	.	PUNCT
cana-5492	340	1	since	since	SCONJ
cana-5492	340	2	𝒢	𝒢	PROPN
cana-5492	340	3	is	be	AUX
cana-5492	340	4	a	a	DET
cana-5492	340	5	nscontrazo	nscontrazo	ADJ
cana-5492	340	6	mapping	mapping	NOUN
cana-5492	340	7	,	,	PUNCT
cana-5492	340	8	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	340	9	,	,	PUNCT
cana-5492	340	10	ϱ	ϱ	NOUN
cana-5492	340	11	)	)	PUNCT
cana-5492	340	12	)	)	PUNCT
cana-5492	340	13	is	be	AUX
cana-5492	340	14	a	a	DET
cana-5492	340	15	nszcs	nszcs	NOUN
cana-5492	340	16	in	in	ADP
cana-5492	340	17	(	(	PUNCT
cana-5492	340	18	𝕋	𝕋	PROPN
cana-5492	340	19	,	,	PUNCT
cana-5492	340	20	σ	σ	PROPN
cana-5492	340	21	,	,	PUNCT
cana-5492	340	22	ϱ	ϱ	NOUN
cana-5492	340	23	)	)	PUNCT
cana-5492	340	24	such	such	ADJ
cana-5492	340	25	that	that	SCONJ
cana-5492	340	26	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	340	27	,	,	PUNCT
cana-5492	340	28	ϱ	ϱ	NOUN
cana-5492	340	29	)	)	PUNCT
cana-5492	340	30	)	)	PUNCT
cana-5492	340	31	⊇	⊇	PROPN
cana-5492	340	32	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	340	33	,	,	PUNCT
cana-5492	340	34	ϱ	ϱ	NOUN
cana-5492	340	35	)	)	PUNCT
cana-5492	340	36	.	.	PUNCT
cana-5492	341	1	therefore	therefore	ADV
cana-5492	341	2	,	,	PUNCT
cana-5492	341	3	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	341	4	,	,	PUNCT
cana-5492	341	5	ϱ	ϱ	NOUN
cana-5492	341	6	)	)	PUNCT
cana-5492	341	7	)	)	PUNCT
cana-5492	341	8	⊇	⊇	PROPN
cana-5492	341	9	nszcl(𝒢(s	nszcl(𝒢(s	PROPN
cana-5492	341	10	,	,	PUNCT
cana-5492	341	11	ϱ	ϱ	NOUN
cana-5492	341	12	)	)	PUNCT
cana-5492	341	13	)	)	PUNCT
cana-5492	341	14	.	.	PUNCT
cana-5492	342	1	sufficiency	sufficiency	NOUN
cana-5492	342	2	:	:	PUNCT
cana-5492	343	1	assume	assume	VERB
cana-5492	343	2	(	(	PUNCT
cana-5492	343	3	𝑆	𝑆	PROPN
cana-5492	343	4	,	,	PUNCT
cana-5492	343	5	ϱ	ϱ	PROPN
cana-5492	343	6	)	)	PUNCT
cana-5492	343	7	is	be	AUX
cana-5492	343	8	a	a	DET
cana-5492	343	9	nsos	nsos	NOUN
cana-5492	343	10	(	(	PUNCT
cana-5492	343	11	𝕎	𝕎	PROPN
cana-5492	343	12	,	,	PUNCT
cana-5492	343	13	τ	τ	PROPN
cana-5492	343	14	,	,	PUNCT
cana-5492	343	15	ϱ	ϱ	NOUN
cana-5492	343	16	)	)	PUNCT
cana-5492	343	17	.	.	PUNCT
cana-5492	344	1	then	then	ADV
cana-5492	344	2	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	344	3	,	,	PUNCT
cana-5492	344	4	ϱ	ϱ	NOUN
cana-5492	344	5	)	)	PUNCT
cana-5492	344	6	=	=	SYM
cana-5492	344	7	𝒢(nsint(s	𝒢(nsint(s	PROPN
cana-5492	344	8	,	,	PUNCT
cana-5492	344	9	ϱ	ϱ	NOUN
cana-5492	344	10	)	)	PUNCT
cana-5492	344	11	)	)	PUNCT
cana-5492	344	12	⊇	⊇	PROPN
cana-5492	344	13	nszcl(𝒢(s	nszcl(𝒢(s	PROPN
cana-5492	344	14	,	,	PUNCT
cana-5492	344	15	ϱ	ϱ	NOUN
cana-5492	344	16	)	)	PUNCT
cana-5492	344	17	)	)	PUNCT
cana-5492	344	18	.	.	PUNCT
cana-5492	345	1	but	but	CCONJ
cana-5492	345	2	nszcl(𝒢(s	nszcl(𝒢(	NOUN
cana-5492	345	3	,	,	PUNCT
cana-5492	345	4	ϱ	ϱ	NOUN
cana-5492	345	5	)	)	PUNCT
cana-5492	345	6	)	)	PUNCT
cana-5492	345	7	⊇	⊇	PROPN
cana-5492	345	8	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	345	9	,	,	PUNCT
cana-5492	345	10	ϱ	ϱ	NOUN
cana-5492	345	11	)	)	PUNCT
cana-5492	345	12	.	.	PUNCT
cana-5492	346	1	so	so	ADV
cana-5492	346	2	,	,	PUNCT
cana-5492	346	3	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	346	4	,	,	PUNCT
cana-5492	346	5	ϱ	ϱ	NOUN
cana-5492	346	6	)	)	PUNCT
cana-5492	346	7	=	=	SYM
cana-5492	346	8	nszcl(𝒢(s	nszcl(𝒢(s	PROPN
cana-5492	346	9	,	,	PUNCT
cana-5492	346	10	ϱ	ϱ	NOUN
cana-5492	346	11	)	)	PUNCT
cana-5492	346	12	)	)	PUNCT
cana-5492	346	13	which	which	PRON
cana-5492	346	14	implies	imply	VERB
cana-5492	346	15	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	346	16	,	,	PUNCT
cana-5492	346	17	ϱ	ϱ	NOUN
cana-5492	346	18	)	)	PUNCT
cana-5492	346	19	is	be	AUX
cana-5492	346	20	a	a	DET
cana-5492	346	21	nszcs	nszcs	NOUN
cana-5492	346	22	of	of	ADP
cana-5492	346	23	(	(	PUNCT
cana-5492	346	24	𝕋	𝕋	PROPN
cana-5492	346	25	,	,	PUNCT
cana-5492	346	26	σ	σ	PROPN
cana-5492	346	27	,	,	PUNCT
cana-5492	346	28	ϱ	ϱ	NOUN
cana-5492	346	29	)	)	PUNCT
cana-5492	346	30	and	and	CCONJ
cana-5492	346	31	hence	hence	ADV
cana-5492	346	32	𝒢	𝒢	PROPN
cana-5492	346	33	is	be	AUX
cana-5492	346	34	a	a	DET
cana-5492	346	35	nscontrazo	nscontrazo	ADJ
cana-5492	346	36	.	.	PUNCT
cana-5492	347	1	theorem	theorem	VERB
cana-5492	347	2	5.3	5.3	NUM
cana-5492	347	3	if	if	SCONJ
cana-5492	347	4	𝒢	𝒢	PROPN
cana-5492	347	5	∶	∶	NOUN
cana-5492	347	6	(	(	PUNCT
cana-5492	347	7	𝕎	𝕎	PROPN
cana-5492	347	8	,	,	PUNCT
cana-5492	347	9	τ	τ	PROPN
cana-5492	347	10	,	,	PUNCT
cana-5492	347	11	ϱ	ϱ	PROPN
cana-5492	347	12	)	)	PUNCT
cana-5492	347	13	→	→	SYM
cana-5492	347	14	(	(	PUNCT
cana-5492	347	15	𝕋	𝕋	PROPN
cana-5492	347	16	,	,	PUNCT
cana-5492	347	17	σ	σ	PROPN
cana-5492	347	18	,	,	PUNCT
cana-5492	347	19	ϱ	ϱ	NOUN
cana-5492	347	20	)	)	PUNCT
cana-5492	347	21	is	be	AUX
cana-5492	347	22	nscontrazo	nscontrazo	ADJ
cana-5492	347	23	mapping	mapping	NOUN
cana-5492	347	24	,	,	PUNCT
cana-5492	347	25	then	then	ADV
cana-5492	347	26	nsint	nsint	NOUN
cana-5492	347	27	(	(	PUNCT
cana-5492	347	28	𝒢	𝒢	NOUN
cana-5492	347	29	−1	−1	NOUN
cana-5492	347	30	(	(	PUNCT
cana-5492	347	31	s	s	PROPN
cana-5492	347	32	,	,	PUNCT
cana-5492	347	33	ϱ	ϱ	NOUN
cana-5492	347	34	)	)	PUNCT
cana-5492	347	35	⊆	⊆	NUM
cana-5492	347	36	𝒢	𝒢	PROPN
cana-5492	347	37	−1(nszcl(s	−1(nszcl(s	NUM
cana-5492	347	38	,	,	PUNCT
cana-5492	347	39	ϱ	ϱ	NOUN
cana-5492	347	40	)	)	PUNCT
cana-5492	347	41	)	)	PUNCT
cana-5492	347	42	for	for	ADP
cana-5492	347	43	every	every	DET
cana-5492	347	44	nss	nss	NOUN
cana-5492	347	45	(	(	PUNCT
cana-5492	347	46	𝑆	𝑆	PROPN
cana-5492	347	47	,	,	PUNCT
cana-5492	347	48	ϱ	ϱ	NOUN
cana-5492	347	49	)	)	PUNCT
cana-5492	347	50	of	of	ADP
cana-5492	347	51	(	(	PUNCT
cana-5492	347	52	𝕋	𝕋	PROPN
cana-5492	347	53	,	,	PUNCT
cana-5492	347	54	σ	σ	PROPN
cana-5492	347	55	,	,	PUNCT
cana-5492	347	56	ϱ	ϱ	NOUN
cana-5492	347	57	)	)	PUNCT
cana-5492	347	58	.	.	PUNCT
cana-5492	348	1	proof	proof	NOUN
cana-5492	348	2	.	.	PUNCT
cana-5492	349	1	consider	consider	VERB
cana-5492	349	2	a	a	DET
cana-5492	349	3	nss	nss	NOUN
cana-5492	349	4	(	(	PUNCT
cana-5492	349	5	𝑆	𝑆	PROPN
cana-5492	349	6	,	,	PUNCT
cana-5492	349	7	ϱ	ϱ	NOUN
cana-5492	349	8	)	)	PUNCT
cana-5492	349	9	in	in	ADP
cana-5492	349	10	(	(	PUNCT
cana-5492	349	11	𝕋	𝕋	PROPN
cana-5492	349	12	,	,	PUNCT
cana-5492	349	13	σ	σ	PROPN
cana-5492	349	14	,	,	PUNCT
cana-5492	349	15	ϱ	ϱ	NOUN
cana-5492	349	16	)	)	PUNCT
cana-5492	349	17	.	.	PUNCT
cana-5492	350	1	then	then	ADV
cana-5492	350	2	,	,	PUNCT
cana-5492	350	3	nsint	nsint	NOUN
cana-5492	350	4	(	(	PUNCT
cana-5492	350	5	𝒢	𝒢	PROPN
cana-5492	350	6	−1(s	−1(s	PROPN
cana-5492	350	7	,	,	PUNCT
cana-5492	350	8	ϱ	ϱ	NOUN
cana-5492	350	9	)	)	PUNCT
cana-5492	350	10	is	be	AUX
cana-5492	350	11	a	a	DET
cana-5492	350	12	nsos	nsos	NOUN
cana-5492	350	13	in	in	ADP
cana-5492	350	14	(	(	PUNCT
cana-5492	350	15	𝕎	𝕎	PROPN
cana-5492	350	16	,	,	PUNCT
cana-5492	350	17	τ	τ	PROPN
cana-5492	350	18	,	,	PUNCT
cana-5492	350	19	ϱ	ϱ	NOUN
cana-5492	350	20	)	)	PUNCT
cana-5492	350	21	.	.	PUNCT
cana-5492	351	1	since	since	SCONJ
cana-5492	351	2	𝒢	𝒢	PROPN
cana-5492	351	3	is	be	AUX
cana-5492	351	4	nscontrazo	nscontrazo	ADJ
cana-5492	351	5	,	,	PUNCT
cana-5492	351	6	𝒢(nsint	𝒢(nsint	NOUN
cana-5492	351	7	(	(	PUNCT
cana-5492	351	8	𝒢	𝒢	NOUN
cana-5492	351	9	−1	−1	NOUN
cana-5492	351	10	(	(	PUNCT
cana-5492	351	11	s	s	PROPN
cana-5492	351	12	,	,	PUNCT
cana-5492	351	13	ϱ	ϱ	NOUN
cana-5492	351	14	)	)	PUNCT
cana-5492	351	15	)	)	PUNCT
cana-5492	351	16	is	be	AUX
cana-5492	351	17	a	a	DET
cana-5492	351	18	nszcs	nszcs	NOUN
cana-5492	351	19	in	in	ADP
cana-5492	351	20	(	(	PUNCT
cana-5492	351	21	𝕋	𝕋	PROPN
cana-5492	351	22	,	,	PUNCT
cana-5492	351	23	σ	σ	PROPN
cana-5492	351	24	,	,	PUNCT
cana-5492	351	25	ϱ	ϱ	NOUN
cana-5492	351	26	)	)	PUNCT
cana-5492	351	27	and	and	CCONJ
cana-5492	351	28	hence	hence	ADV
cana-5492	351	29	𝒢(nsint	𝒢(nsint	NOUN
cana-5492	351	30	(	(	PUNCT
cana-5492	351	31	𝒢	𝒢	NOUN
cana-5492	351	32	−1	−1	NOUN
cana-5492	351	33	(	(	PUNCT
cana-5492	351	34	s	s	PROPN
cana-5492	351	35	,	,	PUNCT
cana-5492	351	36	ϱ	ϱ	NOUN
cana-5492	351	37	)	)	PUNCT
cana-5492	351	38	)	)	PUNCT
cana-5492	352	1	⊆	⊆	NUM
cana-5492	352	2	nszcl	nszcl	PROPN
cana-5492	352	3	(	(	PUNCT
cana-5492	352	4	𝒢	𝒢	PROPN
cana-5492	352	5	(	(	PUNCT
cana-5492	352	6	𝒢	𝒢	PROPN
cana-5492	352	7	−1(s	−1(	NOUN
cana-5492	352	8	,	,	PUNCT
cana-5492	352	9	ϱ)))⊆	ϱ)))⊆	PROPN
cana-5492	352	10	nszcl(s	nszcl(s	PROPN
cana-5492	352	11	,	,	PUNCT
cana-5492	352	12	ϱ	ϱ	NOUN
cana-5492	352	13	)	)	PUNCT
cana-5492	352	14	.	.	PUNCT
cana-5492	353	1	thus	thus	ADV
cana-5492	353	2	,	,	PUNCT
cana-5492	353	3	nsint	nsint	NOUN
cana-5492	353	4	(	(	PUNCT
cana-5492	353	5	𝒢	𝒢	NOUN
cana-5492	353	6	−1	−1	NOUN
cana-5492	353	7	(	(	PUNCT
cana-5492	353	8	s	s	PROPN
cana-5492	353	9	,	,	PUNCT
cana-5492	353	10	ϱ	ϱ	NOUN
cana-5492	353	11	)	)	PUNCT
cana-5492	353	12	⊆	⊆	NUM
cana-5492	353	13	𝒢	𝒢	PROPN
cana-5492	353	14	−1(nszcl(s	−1(nszcl(s	NUM
cana-5492	353	15	,	,	PUNCT
cana-5492	353	16	ϱ	ϱ	NOUN
cana-5492	353	17	)	)	PUNCT
cana-5492	353	18	)	)	PUNCT
cana-5492	353	19	.	.	PUNCT
cana-5492	354	1	theorem	theorem	VERB
cana-5492	354	2	5.4	5.4	NUM
cana-5492	354	3	a	a	DET
cana-5492	354	4	mapping	mapping	NOUN
cana-5492	354	5	𝒢	𝒢	PROPN
cana-5492	354	6	∶	∶	NOUN
cana-5492	354	7	(	(	PUNCT
cana-5492	354	8	𝕎	𝕎	PROPN
cana-5492	354	9	,	,	PUNCT
cana-5492	354	10	τ	τ	PROPN
cana-5492	354	11	,	,	PUNCT
cana-5492	354	12	ϱ	ϱ	PROPN
cana-5492	354	13	)	)	PUNCT
cana-5492	354	14	→	→	SYM
cana-5492	354	15	(	(	PUNCT
cana-5492	354	16	𝕋	𝕋	PROPN
cana-5492	354	17	,	,	PUNCT
cana-5492	354	18	σ	σ	PROPN
cana-5492	354	19	,	,	PUNCT
cana-5492	354	20	ϱ	ϱ	NOUN
cana-5492	354	21	)	)	PUNCT
cana-5492	354	22	is	be	AUX
cana-5492	354	23	nscontrazo	nscontrazo	ADJ
cana-5492	354	24	iff	iff	NOUN
cana-5492	354	25	for	for	ADP
cana-5492	354	26	every	every	DET
cana-5492	354	27	nss	nss	NOUN
cana-5492	354	28	(	(	PUNCT
cana-5492	354	29	𝑆	𝑆	PROPN
cana-5492	354	30	,	,	PUNCT
cana-5492	354	31	ϱ	ϱ	NOUN
cana-5492	354	32	)	)	PUNCT
cana-5492	354	33	of	of	ADP
cana-5492	354	34	(	(	PUNCT
cana-5492	354	35	𝕋	𝕋	PROPN
cana-5492	354	36	,	,	PUNCT
cana-5492	354	37	σ	σ	PROPN
cana-5492	354	38	,	,	PUNCT
cana-5492	354	39	ϱ	ϱ	NOUN
cana-5492	354	40	)	)	PUNCT
cana-5492	354	41	,	,	PUNCT
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cana-5492	354	43	for	for	ADP
cana-5492	354	44	each	each	DET
cana-5492	354	45	nsos	nsos	NOUN
cana-5492	354	46	(	(	PUNCT
cana-5492	354	47	𝐵	𝐵	NOUN
cana-5492	354	48	,	,	PUNCT
cana-5492	354	49	ϱ	ϱ	NOUN
cana-5492	354	50	)	)	PUNCT
cana-5492	354	51	of	of	ADP
cana-5492	354	52	(	(	PUNCT
cana-5492	354	53	𝕎	𝕎	PROPN
cana-5492	354	54	,	,	PUNCT
cana-5492	354	55	τ	τ	PROPN
cana-5492	354	56	,	,	PUNCT
cana-5492	354	57	ϱ	ϱ	NOUN
cana-5492	354	58	)	)	PUNCT
cana-5492	354	59	containing	contain	VERB
cana-5492	354	60	𝒢	𝒢	NOUN
cana-5492	354	61	−1	−1	NOUN
cana-5492	354	62	(	(	PUNCT
cana-5492	354	63	s	s	PROPN
cana-5492	354	64	,	,	PUNCT
cana-5492	354	65	ϱ	ϱ	NOUN
cana-5492	354	66	)	)	PUNCT
cana-5492	354	67	,	,	PUNCT
cana-5492	354	68	there	there	PRON
cana-5492	354	69	is	be	VERB
cana-5492	354	70	a	a	DET
cana-5492	354	71	nszos	nszos	NOUN
cana-5492	354	72	(	(	PUNCT
cana-5492	354	73	𝐾	𝐾	PROPN
cana-5492	354	74	,	,	PUNCT
cana-5492	354	75	ϱ	ϱ	NOUN
cana-5492	354	76	)	)	PUNCT
cana-5492	354	77	of	of	ADP
cana-5492	354	78	(	(	PUNCT
cana-5492	354	79	𝕋	𝕋	PROPN
cana-5492	354	80	,	,	PUNCT
cana-5492	354	81	σ	σ	PROPN
cana-5492	354	82	,	,	PUNCT
cana-5492	354	83	ϱ	ϱ	NOUN
cana-5492	354	84	)	)	PUNCT
cana-5492	354	85	such	such	ADJ
cana-5492	354	86	that	that	SCONJ
cana-5492	354	87	(	(	PUNCT
cana-5492	354	88	s	s	X
cana-5492	354	89	,	,	PUNCT
cana-5492	354	90	ϱ	ϱ	NOUN
cana-5492	354	91	)	)	PUNCT
cana-5492	354	92	⊆	⊆	NUM
cana-5492	354	93	(	(	PUNCT
cana-5492	354	94	b	b	NOUN
cana-5492	354	95	,	,	PUNCT
cana-5492	354	96	ϱ	ϱ	NOUN
cana-5492	354	97	)	)	PUNCT
cana-5492	354	98	and	and	CCONJ
cana-5492	354	99	𝒢	𝒢	PROPN
cana-5492	354	100	−1	−1	NOUN
cana-5492	354	101	(	(	PUNCT
cana-5492	354	102	k	k	NOUN
cana-5492	354	103	,	,	PUNCT
cana-5492	354	104	ϱ	ϱ	NOUN
cana-5492	354	105	)	)	PUNCT
cana-5492	354	106	⊆	⊆	NUM
cana-5492	354	107	(	(	PUNCT
cana-5492	354	108	b	b	NOUN
cana-5492	354	109	,	,	PUNCT
cana-5492	354	110	ϱ	ϱ	NOUN
cana-5492	354	111	)	)	PUNCT
cana-5492	354	112	.	.	PUNCT
cana-5492	355	1	proof	proof	NOUN
cana-5492	355	2	.	.	PUNCT
cana-5492	356	1	necessity	necessity	NOUN
cana-5492	356	2	:	:	PUNCT
cana-5492	356	3	assume	assume	VERB
cana-5492	356	4	𝒢	𝒢	NOUN
cana-5492	356	5	be	be	AUX
cana-5492	356	6	a	a	DET
cana-5492	356	7	nscontrazo	nscontrazo	ADJ
cana-5492	356	8	mapping	mapping	NOUN
cana-5492	356	9	.	.	PUNCT
cana-5492	357	1	let	let	VERB
cana-5492	357	2	a	a	DET
cana-5492	357	3	nscs	nscs	NOUN
cana-5492	357	4	(	(	PUNCT
cana-5492	357	5	𝑆	𝑆	PROPN
cana-5492	357	6	,	,	PUNCT
cana-5492	357	7	ϱ	ϱ	NOUN
cana-5492	357	8	)	)	PUNCT
cana-5492	357	9	in	in	ADP
cana-5492	357	10	(	(	PUNCT
cana-5492	357	11	𝕋	𝕋	PROPN
cana-5492	357	12	,	,	PUNCT
cana-5492	357	13	σ	σ	PROPN
cana-5492	357	14	,	,	PUNCT
cana-5492	357	15	ϱ	ϱ	NOUN
cana-5492	357	16	)	)	PUNCT
cana-5492	357	17	and	and	CCONJ
cana-5492	357	18	a	a	DET
cana-5492	357	19	nsos	nsos	NOUN
cana-5492	357	20	(	(	PUNCT
cana-5492	357	21	𝐵	𝐵	NOUN
cana-5492	357	22	,	,	PUNCT
cana-5492	357	23	ϱ	ϱ	NOUN
cana-5492	357	24	)	)	PUNCT
cana-5492	357	25	in	in	ADP
cana-5492	357	26	(	(	PUNCT
cana-5492	357	27	𝕎	𝕎	PROPN
cana-5492	357	28	,	,	PUNCT
cana-5492	357	29	τ	τ	PROPN
cana-5492	357	30	,	,	PUNCT
cana-5492	357	31	ϱ	ϱ	NOUN
cana-5492	357	32	)	)	PUNCT
cana-5492	357	33	such	such	ADJ
cana-5492	357	34	that	that	SCONJ
cana-5492	357	35	𝒢	𝒢	ADJ
cana-5492	357	36	−1	−1	NOUN
cana-5492	357	37	(	(	PUNCT
cana-5492	357	38	s	s	PROPN
cana-5492	357	39	,	,	PUNCT
cana-5492	357	40	ϱ	ϱ	NOUN
cana-5492	357	41	)	)	PUNCT
cana-5492	357	42	⊆	⊆	NUM
cana-5492	357	43	(	(	PUNCT
cana-5492	357	44	b	b	NOUN
cana-5492	357	45	,	,	PUNCT
cana-5492	357	46	ϱ	ϱ	NOUN
cana-5492	357	47	)	)	PUNCT
cana-5492	357	48	.	.	PUNCT
cana-5492	358	1	then	then	ADV
cana-5492	358	2	,	,	PUNCT
cana-5492	358	3	(	(	PUNCT
cana-5492	358	4	𝐾	𝐾	PROPN
cana-5492	358	5	,	,	PUNCT
cana-5492	358	6	ϱ	ϱ	NOUN
cana-5492	358	7	)	)	PUNCT
cana-5492	358	8	=	=	SYM
cana-5492	358	9	(	(	PUNCT
cana-5492	358	10	𝒢(b	𝒢(b	ADV
cana-5492	358	11	,	,	PUNCT
cana-5492	358	12	ϱ)c)c	ϱ)c)c	NOUN
cana-5492	358	13	is	be	AUX
cana-5492	358	14	nszos	nszos	ADV
cana-5492	358	15	of	of	ADP
cana-5492	358	16	(	(	PUNCT
cana-5492	358	17	𝕋	𝕋	PROPN
cana-5492	358	18	,	,	PUNCT
cana-5492	358	19	σ	σ	PROPN
cana-5492	358	20	,	,	PUNCT
cana-5492	358	21	ϱ	ϱ	NOUN
cana-5492	358	22	)	)	PUNCT
cana-5492	358	23	∋	∋	NOUN
cana-5492	359	1	𝒢	𝒢	NOUN
cana-5492	359	2	−1	−1	NOUN
cana-5492	359	3	(	(	PUNCT
cana-5492	359	4	k	k	NOUN
cana-5492	359	5	,	,	PUNCT
cana-5492	359	6	ϱ	ϱ	NOUN
cana-5492	359	7	)	)	PUNCT
cana-5492	359	8	⊆	⊆	NUM
cana-5492	359	9	(	(	PUNCT
cana-5492	359	10	b	b	NOUN
cana-5492	359	11	,	,	PUNCT
cana-5492	359	12	ϱ	ϱ	NOUN
cana-5492	359	13	)	)	PUNCT
cana-5492	359	14	.	.	PUNCT
cana-5492	360	1	sufficiency	sufficiency	NOUN
cana-5492	360	2	:	:	PUNCT
cana-5492	361	1	assume	assume	VERB
cana-5492	361	2	(	(	PUNCT
cana-5492	361	3	b	b	NOUN
cana-5492	361	4	,	,	PUNCT
cana-5492	361	5	ϱ	ϱ	NOUN
cana-5492	361	6	)	)	PUNCT
cana-5492	361	7	is	be	AUX
cana-5492	361	8	a	a	DET
cana-5492	361	9	nsos	nsos	NOUN
cana-5492	361	10	(	(	PUNCT
cana-5492	361	11	𝕎	𝕎	PROPN
cana-5492	361	12	,	,	PUNCT
cana-5492	361	13	τ	τ	PROPN
cana-5492	361	14	,	,	PUNCT
cana-5492	361	15	ϱ	ϱ	NOUN
cana-5492	361	16	)	)	PUNCT
cana-5492	361	17	.	.	PUNCT
cana-5492	362	1	so	so	ADV
cana-5492	362	2	,	,	PUNCT
cana-5492	362	3	𝒢	𝒢	PROPN
cana-5492	362	4	−1(𝒢(b	−1(𝒢(b	NOUN
cana-5492	362	5	,	,	PUNCT
cana-5492	362	6	ϱ)c	ϱ)c	ADJ
cana-5492	362	7	)	)	PUNCT
cana-5492	362	8	⊆	⊆	NUM
cana-5492	362	9	(	(	PUNCT
cana-5492	362	10	b	b	NOUN
cana-5492	362	11	,	,	PUNCT
cana-5492	362	12	ϱ)c	ϱ)c	ADJ
cana-5492	362	13	and	and	CCONJ
cana-5492	362	14	(	(	PUNCT
cana-5492	362	15	b	b	NOUN
cana-5492	362	16	,	,	PUNCT
cana-5492	362	17	ϱ)c	ϱ)c	X
cana-5492	362	18	is	be	AUX
cana-5492	362	19	nscs	nsc	VERB
cana-5492	362	20	in	in	ADP
cana-5492	362	21	(	(	PUNCT
cana-5492	362	22	𝕎	𝕎	PROPN
cana-5492	362	23	,	,	PUNCT
cana-5492	362	24	τ	τ	PROPN
cana-5492	362	25	,	,	PUNCT
cana-5492	362	26	ϱ	ϱ	NOUN
cana-5492	362	27	)	)	PUNCT
cana-5492	362	28	.	.	PUNCT
cana-5492	363	1	by	by	ADP
cana-5492	363	2	presumption	presumption	NOUN
cana-5492	363	3	,	,	PUNCT
cana-5492	363	4	there	there	PRON
cana-5492	363	5	is	be	VERB
cana-5492	363	6	a	a	DET
cana-5492	363	7	nszos	nszos	NOUN
cana-5492	363	8	(	(	PUNCT
cana-5492	363	9	𝐾	𝐾	PROPN
cana-5492	363	10	,	,	PUNCT
cana-5492	363	11	ϱ	ϱ	NOUN
cana-5492	363	12	)	)	PUNCT
cana-5492	363	13	of	of	ADP
cana-5492	363	14	(	(	PUNCT
cana-5492	363	15	𝕋	𝕋	PROPN
cana-5492	363	16	,	,	PUNCT
cana-5492	363	17	σ	σ	PROPN
cana-5492	363	18	,	,	PUNCT
cana-5492	363	19	ϱ	ϱ	NOUN
cana-5492	363	20	)	)	PUNCT
cana-5492	363	21	such	such	ADJ
cana-5492	363	22	that	that	SCONJ
cana-5492	363	23	(	(	PUNCT
cana-5492	363	24	𝒢(b	𝒢(b	ADV
cana-5492	363	25	,	,	PUNCT
cana-5492	363	26	ϱ))c	ϱ))c	VERB
cana-5492	363	27	⊆	⊆	NUM
cana-5492	363	28	(	(	PUNCT
cana-5492	363	29	𝐾	𝐾	PROPN
cana-5492	363	30	,	,	PUNCT
cana-5492	363	31	ϱ	ϱ	NOUN
cana-5492	363	32	)	)	PUNCT
cana-5492	363	33	and	and	CCONJ
cana-5492	363	34	𝒢	𝒢	PROPN
cana-5492	363	35	−1	−1	NOUN
cana-5492	363	36	(	(	PUNCT
cana-5492	363	37	k	k	NOUN
cana-5492	363	38	,	,	PUNCT
cana-5492	363	39	ϱ	ϱ	NOUN
cana-5492	363	40	)	)	PUNCT
cana-5492	363	41	⊆	⊆	NUM
cana-5492	363	42	(	(	PUNCT
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cana-5492	363	44	,	,	PUNCT
cana-5492	363	45	ϱ)c	ϱ)c	ADJ
cana-5492	363	46	.	.	PUNCT
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cana-5492	364	2	,	,	PUNCT
cana-5492	364	3	(	(	PUNCT
cana-5492	364	4	b	b	X
cana-5492	364	5	,	,	PUNCT
cana-5492	364	6	ϱ	ϱ	NOUN
cana-5492	364	7	)	)	PUNCT
cana-5492	364	8	⊆	⊆	NUM
cana-5492	364	9	(	(	PUNCT
cana-5492	364	10	𝒢	𝒢	NOUN
cana-5492	364	11	−1	−1	NOUN
cana-5492	364	12	(	(	PUNCT
cana-5492	364	13	k	k	NOUN
cana-5492	364	14	,	,	PUNCT
cana-5492	364	15	ϱ	ϱ	NOUN
cana-5492	364	16	)	)	PUNCT
cana-5492	364	17	)	)	PUNCT
cana-5492	365	1	c	c	NOUN
cana-5492	365	2	.	.	PUNCT
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cana-5492	366	2	(	(	PUNCT
cana-5492	366	3	k	k	NOUN
cana-5492	366	4	,	,	PUNCT
cana-5492	366	5	ϱ)c	ϱ)c	VERB
cana-5492	366	6	⊆	⊆	NUM
cana-5492	366	7	𝒢(b	𝒢(b	PROPN
cana-5492	366	8	,	,	PUNCT
cana-5492	366	9	ϱ	ϱ	NOUN
cana-5492	366	10	)	)	PUNCT
cana-5492	366	11	⊆	⊆	NUM
cana-5492	366	12	𝒢((𝒢	𝒢((𝒢	NOUN
cana-5492	366	13	−1	−1	NOUN
cana-5492	366	14	(	(	PUNCT
cana-5492	366	15	k	k	NOUN
cana-5492	366	16	,	,	PUNCT
cana-5492	366	17	ϱ	ϱ	NOUN
cana-5492	366	18	)	)	PUNCT
cana-5492	366	19	)	)	PUNCT
cana-5492	367	1	c	c	NOUN
cana-5492	367	2	)	)	PUNCT
cana-5492	368	1	⊆	⊆	NUM
cana-5492	368	2	(	(	PUNCT
cana-5492	368	3	k	k	NOUN
cana-5492	368	4	,	,	PUNCT
cana-5492	368	5	ϱ)c	ϱ)c	X
cana-5492	368	6	which	which	PRON
cana-5492	368	7	implies	imply	VERB
cana-5492	368	8	𝒢(b	𝒢(b	PROPN
cana-5492	368	9	,	,	PUNCT
cana-5492	368	10	ϱ	ϱ	NOUN
cana-5492	368	11	)	)	PUNCT
cana-5492	368	12	=	=	SYM
cana-5492	368	13	(	(	PUNCT
cana-5492	368	14	k	k	NOUN
cana-5492	368	15	,	,	PUNCT
cana-5492	368	16	ϱ)c	ϱ)c	ADJ
cana-5492	368	17	.	.	PUNCT
cana-5492	369	1	as	as	SCONJ
cana-5492	369	2	(	(	PUNCT
cana-5492	369	3	k	k	NOUN
cana-5492	369	4	,	,	PUNCT
cana-5492	369	5	ϱ)c	ϱ)c	X
cana-5492	369	6	is	be	AUX
cana-5492	369	7	nszcs	nszcs	NOUN
cana-5492	369	8	of	of	ADP
cana-5492	369	9	(	(	PUNCT
cana-5492	369	10	𝕋	𝕋	PROPN
cana-5492	369	11	,	,	PUNCT
cana-5492	369	12	σ	σ	PROPN
cana-5492	369	13	,	,	PUNCT
cana-5492	369	14	ϱ	ϱ	NOUN
cana-5492	369	15	)	)	PUNCT
cana-5492	369	16	.	.	PUNCT
cana-5492	370	1	hence	hence	ADV
cana-5492	370	2	𝒢(b	𝒢(b	ADV
cana-5492	370	3	,	,	PUNCT
cana-5492	370	4	ϱ	ϱ	NOUN
cana-5492	370	5	)	)	PUNCT
cana-5492	370	6	is	be	AUX
cana-5492	370	7	nszcs	nszcs	NOUN
cana-5492	370	8	in	in	ADP
cana-5492	370	9	(	(	PUNCT
cana-5492	370	10	𝕋	𝕋	PROPN
cana-5492	370	11	,	,	PUNCT
cana-5492	370	12	σ	σ	PROPN
cana-5492	370	13	,	,	PUNCT
cana-5492	370	14	ϱ	ϱ	NOUN
cana-5492	370	15	)	)	PUNCT
cana-5492	370	16	and	and	CCONJ
cana-5492	370	17	thus	thus	ADV
cana-5492	370	18	𝒢	𝒢	PROPN
cana-5492	370	19	is	be	AUX
cana-5492	370	20	nscontrazo	nscontrazo	ADJ
cana-5492	370	21	mapping	mapping	NOUN
cana-5492	370	22	.	.	PUNCT
cana-5492	371	1	theorem	theorem	VERB
cana-5492	371	2	5.5	5.5	NUM
cana-5492	371	3	a	a	DET
cana-5492	371	4	mapping	mapping	NOUN
cana-5492	371	5	𝒢	𝒢	PROPN
cana-5492	371	6	∶	∶	NOUN
cana-5492	371	7	(	(	PUNCT
cana-5492	371	8	𝕎	𝕎	PROPN
cana-5492	371	9	,	,	PUNCT
cana-5492	371	10	τ	τ	PROPN
cana-5492	371	11	,	,	PUNCT
cana-5492	371	12	ϱ	ϱ	PROPN
cana-5492	371	13	)	)	PUNCT
cana-5492	371	14	→	→	SYM
cana-5492	371	15	(	(	PUNCT
cana-5492	371	16	𝕋	𝕋	PROPN
cana-5492	371	17	,	,	PUNCT
cana-5492	371	18	σ	σ	PROPN
cana-5492	371	19	,	,	PUNCT
cana-5492	371	20	ϱ	ϱ	NOUN
cana-5492	371	21	)	)	PUNCT
cana-5492	371	22	is	be	AUX
cana-5492	371	23	nscontrazo	nscontrazo	ADJ
cana-5492	371	24	iff	iff	NOUN
cana-5492	371	25	𝒢	𝒢	PROPN
cana-5492	371	26	−1(nscl(s	−1(nscl(s	NUM
cana-5492	371	27	,	,	PUNCT
cana-5492	371	28	ϱ	ϱ	NOUN
cana-5492	371	29	)	)	PUNCT
cana-5492	371	30	)	)	PUNCT
cana-5492	371	31	⊇	⊇	ADJ
cana-5492	371	32	nsint(𝒢	nsint(𝒢	NOUN
cana-5492	371	33	−1(s	−1(	NOUN
cana-5492	371	34	,	,	PUNCT
cana-5492	371	35	ϱ	ϱ	NOUN
cana-5492	371	36	)	)	PUNCT
cana-5492	371	37	)	)	PUNCT
cana-5492	371	38	for	for	ADP
cana-5492	371	39	every	every	DET
cana-5492	371	40	nss	nss	NOUN
cana-5492	371	41	(	(	PUNCT
cana-5492	371	42	s	s	PROPN
cana-5492	371	43	,	,	PUNCT
cana-5492	371	44	ϱ	ϱ	NOUN
cana-5492	371	45	)	)	PUNCT
cana-5492	371	46	of	of	ADP
cana-5492	371	47	(	(	PUNCT
cana-5492	371	48	𝕋	𝕋	PROPN
cana-5492	371	49	,	,	PUNCT
cana-5492	371	50	σ	σ	PROPN
cana-5492	371	51	,	,	PUNCT
cana-5492	371	52	ϱ	ϱ	NOUN
cana-5492	371	53	)	)	PUNCT
cana-5492	371	54	.	.	PUNCT
cana-5492	372	1	proof	proof	NOUN
cana-5492	372	2	.	.	PUNCT
cana-5492	373	1	necessity	necessity	NOUN
cana-5492	373	2	:	:	PUNCT
cana-5492	373	3	let	let	VERB
cana-5492	373	4	𝒢	𝒢	NOUN
cana-5492	373	5	be	be	AUX
cana-5492	373	6	a	a	DET
cana-5492	373	7	nscontrazo	nscontrazo	ADJ
cana-5492	373	8	mapping	mapping	NOUN
cana-5492	373	9	.	.	PUNCT
cana-5492	374	1	for	for	ADP
cana-5492	374	2	any	any	DET
cana-5492	374	3	nss	nss	NOUN
cana-5492	374	4	(	(	PUNCT
cana-5492	374	5	s	s	PROPN
cana-5492	374	6	,	,	PUNCT
cana-5492	374	7	ϱ	ϱ	NOUN
cana-5492	374	8	)	)	PUNCT
cana-5492	374	9	of	of	ADP
cana-5492	374	10	(	(	PUNCT
cana-5492	374	11	𝕋	𝕋	PROPN
cana-5492	374	12	,	,	PUNCT
cana-5492	374	13	σ	σ	PROPN
cana-5492	374	14	,	,	PUNCT
cana-5492	374	15	ϱ	ϱ	NOUN
cana-5492	374	16	)	)	PUNCT
cana-5492	374	17	,	,	PUNCT
cana-5492	374	18	𝒢	𝒢	PROPN
cana-5492	374	19	−1(s	−1(s	PROPN
cana-5492	374	20	,	,	PUNCT
cana-5492	374	21	ϱ	ϱ	NOUN
cana-5492	374	22	)	)	PUNCT
cana-5492	374	23	⊆	⊆	NUM
cana-5492	374	24	nscl(𝒢	nscl(𝒢	PUNCT
cana-5492	374	25	−1(s	−1(	NOUN
cana-5492	374	26	,	,	PUNCT
cana-5492	374	27	ϱ	ϱ	NOUN
cana-5492	374	28	)	)	PUNCT
cana-5492	374	29	)	)	PUNCT
cana-5492	374	30	.	.	PUNCT
cana-5492	375	1	therefore	therefore	ADV
cana-5492	375	2	,	,	PUNCT
cana-5492	375	3	by	by	ADP
cana-5492	375	4	theorem	theorem	NOUN
cana-5492	375	5	5.4	5.4	NUM
cana-5492	375	6	there	there	PRON
cana-5492	375	7	exists	exist	VERB
cana-5492	375	8	a	a	DET
cana-5492	375	9	nszos	nszos	NOUN
cana-5492	375	10	(	(	PUNCT
cana-5492	375	11	b	b	NOUN
cana-5492	375	12	,	,	PUNCT
cana-5492	375	13	ϱ	ϱ	NOUN
cana-5492	375	14	)	)	PUNCT
cana-5492	375	15	in	in	ADP
cana-5492	375	16	(	(	PUNCT
cana-5492	375	17	𝕋	𝕋	PROPN
cana-5492	375	18	,	,	PUNCT
cana-5492	375	19	σ	σ	PROPN
cana-5492	375	20	,	,	PUNCT
cana-5492	375	21	ϱ	ϱ	PROPN
cana-5492	375	22	)	)	PUNCT
cana-5492	375	23	∋	∋	NOUN
cana-5492	375	24	(	(	PUNCT
cana-5492	375	25	s	s	PROPN
cana-5492	375	26	,	,	PUNCT
cana-5492	375	27	ϱ	ϱ	NOUN
cana-5492	375	28	)	)	PUNCT
cana-5492	375	29	⊇	⊇	NOUN
cana-5492	375	30	(	(	PUNCT
cana-5492	375	31	b	b	NOUN
cana-5492	375	32	,	,	PUNCT
cana-5492	375	33	ϱ	ϱ	NOUN
cana-5492	375	34	)	)	PUNCT
cana-5492	375	35	&	&	CCONJ
cana-5492	375	36	𝒢	𝒢	PROPN
cana-5492	375	37	−1(b	−1(b	PROPN
cana-5492	375	38	,	,	PUNCT
cana-5492	375	39	ϱ	ϱ	NOUN
cana-5492	375	40	)	)	PUNCT
cana-5492	375	41	⊇	⊇	NOUN
cana-5492	375	42	𝑁𝑆𝑖𝑛𝑡(𝒢	𝑁𝑆𝑖𝑛𝑡(𝒢	PROPN
cana-5492	375	43	−1(s	−1(s	PROPN
cana-5492	375	44	,	,	PUNCT
cana-5492	375	45	ϱ	ϱ	NOUN
cana-5492	375	46	)	)	PUNCT
cana-5492	375	47	)	)	PUNCT
cana-5492	375	48	.	.	PUNCT
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cana-5492	376	2	𝒢	𝒢	PROPN
cana-5492	376	3	−1(nszcl(s	−1(nszcl(s	NUM
cana-5492	376	4	,	,	PUNCT
cana-5492	376	5	ϱ	ϱ	NOUN
cana-5492	376	6	)	)	PUNCT
cana-5492	376	7	)	)	PUNCT
cana-5492	376	8	⊇	⊇	PROPN
cana-5492	376	9	𝒢	𝒢	PROPN
cana-5492	376	10	−1(b	−1(b	PROPN
cana-5492	376	11	,	,	PUNCT
cana-5492	376	12	ϱ	ϱ	NOUN
cana-5492	376	13	)	)	PUNCT
cana-5492	376	14	⊇	⊇	NOUN
cana-5492	376	15	nsint(𝒢	nsint(𝒢	NOUN
cana-5492	376	16	−1(s	−1(	NOUN
cana-5492	376	17	,	,	PUNCT
cana-5492	376	18	ϱ	ϱ	NOUN
cana-5492	376	19	)	)	PUNCT
cana-5492	376	20	)	)	PUNCT
cana-5492	376	21	.	.	PUNCT
cana-5492	377	1	communications	communication	NOUN
cana-5492	377	2	on	on	ADP
cana-5492	377	3	applied	apply	VERB
cana-5492	377	4	nonlinear	nonlinear	ADJ
cana-5492	377	5	analysis	analysis	NOUN
cana-5492	377	6	issn	issn	NOUN
cana-5492	377	7	:	:	PUNCT
cana-5492	377	8	1074	1074	NUM
cana-5492	377	9	-	-	PUNCT
cana-5492	377	10	133x	133x	NUM
cana-5492	377	11	vol	vol	VERB
cana-5492	377	12	32	32	NUM
cana-5492	377	13	no	no	NOUN
cana-5492	377	14	.	.	PUNCT
cana-5492	378	1	10s	10	NOUN
cana-5492	378	2	(	(	PUNCT
cana-5492	378	3	2025	2025	NUM
cana-5492	378	4	)	)	PUNCT
cana-5492	378	5	2458	2458	NUM
cana-5492	378	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	378	7	sufficiency	sufficiency	NOUN
cana-5492	378	8	:	:	PUNCT
cana-5492	378	9	let	let	VERB
cana-5492	378	10	(	(	PUNCT
cana-5492	378	11	s	s	X
cana-5492	378	12	,	,	PUNCT
cana-5492	378	13	ϱ	ϱ	NOUN
cana-5492	378	14	)	)	PUNCT
cana-5492	378	15	be	be	VERB
cana-5492	378	16	a	a	DET
cana-5492	378	17	nss	nss	NOUN
cana-5492	378	18	in	in	ADP
cana-5492	378	19	(	(	PUNCT
cana-5492	378	20	𝕋	𝕋	PROPN
cana-5492	378	21	,	,	PUNCT
cana-5492	378	22	σ	σ	PROPN
cana-5492	378	23	,	,	PUNCT
cana-5492	378	24	ϱ	ϱ	NOUN
cana-5492	378	25	)	)	PUNCT
cana-5492	378	26	and	and	CCONJ
cana-5492	378	27	(	(	PUNCT
cana-5492	378	28	b	b	NOUN
cana-5492	378	29	,	,	PUNCT
cana-5492	378	30	ϱ	ϱ	NOUN
cana-5492	378	31	)	)	PUNCT
cana-5492	378	32	be	be	VERB
cana-5492	378	33	a	a	DET
cana-5492	378	34	nscs	nscs	NOUN
cana-5492	378	35	of	of	ADP
cana-5492	378	36	(	(	PUNCT
cana-5492	378	37	𝕎	𝕎	PROPN
cana-5492	378	38	,	,	PUNCT
cana-5492	378	39	τ	τ	PROPN
cana-5492	378	40	,	,	PUNCT
cana-5492	378	41	ϱ	ϱ	NOUN
cana-5492	378	42	)	)	PUNCT
cana-5492	378	43	containing	contain	VERB
cana-5492	378	44	𝒢	𝒢	PROPN
cana-5492	378	45	−1(s	−1(	NOUN
cana-5492	378	46	,	,	PUNCT
cana-5492	378	47	ϱ	ϱ	NOUN
cana-5492	378	48	)	)	PUNCT
cana-5492	378	49	.	.	PUNCT
cana-5492	379	1	put	put	NOUN
cana-5492	379	2	(	(	PUNCT
cana-5492	379	3	k	k	NOUN
cana-5492	379	4	,	,	PUNCT
cana-5492	379	5	ϱ	ϱ	NOUN
cana-5492	379	6	)	)	PUNCT
cana-5492	379	7	=	=	SYM
cana-5492	379	8	nscl(s	nscl(s	PROPN
cana-5492	379	9	,	,	PUNCT
cana-5492	379	10	ϱ	ϱ	NOUN
cana-5492	379	11	)	)	PUNCT
cana-5492	379	12	,	,	PUNCT
cana-5492	379	13	then	then	ADV
cana-5492	379	14	(	(	PUNCT
cana-5492	379	15	s	s	X
cana-5492	379	16	,	,	PUNCT
cana-5492	379	17	ϱ	ϱ	NOUN
cana-5492	379	18	)	)	PUNCT
cana-5492	379	19	⊆	⊆	NUM
cana-5492	379	20	(	(	PUNCT
cana-5492	379	21	k	k	NOUN
cana-5492	379	22	,	,	PUNCT
cana-5492	379	23	ϱ	ϱ	NOUN
cana-5492	379	24	)	)	PUNCT
cana-5492	379	25	and	and	CCONJ
cana-5492	379	26	(	(	PUNCT
cana-5492	379	27	k	k	X
cana-5492	379	28	,	,	PUNCT
cana-5492	379	29	ϱ	ϱ	NOUN
cana-5492	379	30	)	)	PUNCT
cana-5492	379	31	is	be	AUX
cana-5492	379	32	nszc	nszc	ADJ
cana-5492	379	33	and	and	CCONJ
cana-5492	379	34	𝒢	𝒢	PROPN
cana-5492	379	35	−1(s	−1(	NOUN
cana-5492	379	36	,	,	PUNCT
cana-5492	379	37	ϱ	ϱ	NOUN
cana-5492	379	38	)	)	PUNCT
cana-5492	379	39	⊆	⊆	NUM
cana-5492	379	40	nsint(𝒢	nsint(𝒢	NOUN
cana-5492	379	41	−1(s	−1(	NOUN
cana-5492	379	42	,	,	PUNCT
cana-5492	379	43	ϱ	ϱ	NOUN
cana-5492	379	44	)	)	PUNCT
cana-5492	379	45	)	)	PUNCT
cana-5492	380	1	⊆	⊆	NUM
cana-5492	380	2	(	(	PUNCT
cana-5492	380	3	b	b	NOUN
cana-5492	380	4	,	,	PUNCT
cana-5492	380	5	ϱ	ϱ	NOUN
cana-5492	380	6	)	)	PUNCT
cana-5492	380	7	.	.	PUNCT
cana-5492	381	1	thus	thus	ADV
cana-5492	381	2	by	by	ADP
cana-5492	381	3	theorem	theorem	NOUN
cana-5492	381	4	5.4	5.4	NUM
cana-5492	381	5	,	,	PUNCT
cana-5492	381	6	𝒢	𝒢	NOUN
cana-5492	381	7	is	be	AUX
cana-5492	381	8	nszo	nszo	ADJ
cana-5492	381	9	mapping	mapping	NOUN
cana-5492	381	10	.	.	PUNCT
cana-5492	382	1	theorem	theorem	VERB
cana-5492	382	2	5.6	5.6	NUM
cana-5492	382	3	if	if	SCONJ
cana-5492	382	4	𝒢	𝒢	PROPN
cana-5492	382	5	∶	∶	NOUN
cana-5492	382	6	(	(	PUNCT
cana-5492	382	7	𝕎	𝕎	PROPN
cana-5492	382	8	,	,	PUNCT
cana-5492	382	9	τ	τ	PROPN
cana-5492	382	10	,	,	PUNCT
cana-5492	382	11	ϱ	ϱ	PROPN
cana-5492	382	12	)	)	PUNCT
cana-5492	382	13	→	→	SYM
cana-5492	382	14	(	(	PUNCT
cana-5492	382	15	𝕋	𝕋	PROPN
cana-5492	382	16	,	,	PUNCT
cana-5492	382	17	σ	σ	PROPN
cana-5492	382	18	,	,	PUNCT
cana-5492	382	19	ϱ	ϱ	NOUN
cana-5492	382	20	)	)	PUNCT
cana-5492	382	21	and	and	CCONJ
cana-5492	382	22	ℋ	ℋ	PROPN
cana-5492	382	23	:	:	PUNCT
cana-5492	382	24	(	(	PUNCT
cana-5492	382	25	𝕋	𝕋	PROPN
cana-5492	382	26	,	,	PUNCT
cana-5492	382	27	σ	σ	PROPN
cana-5492	382	28	,	,	PUNCT
cana-5492	382	29	ϱ	ϱ	NOUN
cana-5492	382	30	)	)	PUNCT
cana-5492	382	31	→	→	SYM
cana-5492	382	32	(	(	PUNCT
cana-5492	382	33	𝕌	𝕌	PROPN
cana-5492	382	34	,	,	PUNCT
cana-5492	382	35	𝜌	𝜌	X
cana-5492	382	36	,	,	PUNCT
cana-5492	382	37	ϱ	ϱ	NOUN
cana-5492	382	38	)	)	PUNCT
cana-5492	382	39	be	be	VERB
cana-5492	382	40	two	two	NUM
cana-5492	382	41	neutrosophic	neutrosophic	ADJ
cana-5492	382	42	soft	soft	ADJ
cana-5492	382	43	mappings	mapping	NOUN
cana-5492	382	44	and	and	CCONJ
cana-5492	383	1	ℋ	ℋ	NOUN
cana-5492	383	2	∘	∘	PROPN
cana-5492	383	3	𝒢	𝒢	NOUN
cana-5492	383	4	:	:	PUNCT
cana-5492	383	5	(	(	PUNCT
cana-5492	383	6	𝕎	𝕎	PROPN
cana-5492	383	7	,	,	PUNCT
cana-5492	383	8	τ	τ	PROPN
cana-5492	383	9	,	,	PUNCT
cana-5492	383	10	ϱ	ϱ	PROPN
cana-5492	383	11	)	)	PUNCT
cana-5492	383	12	→	→	SYM
cana-5492	383	13	(	(	PUNCT
cana-5492	383	14	𝕌	𝕌	PROPN
cana-5492	383	15	,	,	PUNCT
cana-5492	383	16	𝜌	𝜌	X
cana-5492	383	17	,	,	PUNCT
cana-5492	383	18	ϱ	ϱ	NOUN
cana-5492	383	19	)	)	PUNCT
cana-5492	383	20	is	be	AUX
cana-5492	383	21	nscontrazo	nscontrazo	ADJ
cana-5492	383	22	.	.	PUNCT
cana-5492	384	1	if	if	SCONJ
cana-5492	384	2	ℋ	ℋ	PROPN
cana-5492	384	3	:	:	PUNCT
cana-5492	384	4	(	(	PUNCT
cana-5492	384	5	𝕋	𝕋	PROPN
cana-5492	384	6	,	,	PUNCT
cana-5492	384	7	σ	σ	PROPN
cana-5492	384	8	,	,	PUNCT
cana-5492	384	9	ϱ	ϱ	NOUN
cana-5492	384	10	)	)	PUNCT
cana-5492	384	11	→	→	SYM
cana-5492	384	12	(	(	PUNCT
cana-5492	384	13	𝕌	𝕌	PROPN
cana-5492	384	14	,	,	PUNCT
cana-5492	384	15	𝜌	𝜌	X
cana-5492	384	16	,	,	PUNCT
cana-5492	384	17	ϱ	ϱ	NOUN
cana-5492	384	18	)	)	PUNCT
cana-5492	384	19	is	be	AUX
cana-5492	384	20	nscontraz	nscontraz	NOUN
cana-5492	384	21	-	-	PUNCT
cana-5492	384	22	irr	irr	NOUN
cana-5492	384	23	then	then	ADV
cana-5492	384	24	𝒢	𝒢	PROPN
cana-5492	384	25	∶	∶	NOUN
cana-5492	384	26	(	(	PUNCT
cana-5492	384	27	𝕎	𝕎	PROPN
cana-5492	384	28	,	,	PUNCT
cana-5492	384	29	τ	τ	PROPN
cana-5492	384	30	,	,	PUNCT
cana-5492	384	31	ϱ	ϱ	PROPN
cana-5492	384	32	)	)	PUNCT
cana-5492	384	33	→	→	SYM
cana-5492	384	34	(	(	PUNCT
cana-5492	384	35	𝕋	𝕋	PROPN
cana-5492	384	36	,	,	PUNCT
cana-5492	384	37	σ	σ	PROPN
cana-5492	384	38	,	,	PUNCT
cana-5492	384	39	ϱ	ϱ	NOUN
cana-5492	384	40	)	)	PUNCT
cana-5492	384	41	is	be	AUX
cana-5492	384	42	nszo	nszo	ADJ
cana-5492	384	43	mapping	mapping	NOUN
cana-5492	384	44	.	.	PUNCT
cana-5492	385	1	proof	proof	NOUN
cana-5492	385	2	.	.	PUNCT
cana-5492	386	1	let	let	VERB
cana-5492	386	2	(	(	PUNCT
cana-5492	386	3	s	s	X
cana-5492	386	4	,	,	PUNCT
cana-5492	386	5	ϱ	ϱ	NOUN
cana-5492	386	6	)	)	PUNCT
cana-5492	386	7	be	be	VERB
cana-5492	386	8	a	a	DET
cana-5492	386	9	nsos	nsos	NOUN
cana-5492	386	10	in	in	ADP
cana-5492	386	11	(	(	PUNCT
cana-5492	386	12	𝕎	𝕎	PROPN
cana-5492	386	13	,	,	PUNCT
cana-5492	386	14	τ	τ	PROPN
cana-5492	386	15	,	,	PUNCT
cana-5492	386	16	ϱ	ϱ	NOUN
cana-5492	386	17	)	)	PUNCT
cana-5492	386	18	.	.	PUNCT
cana-5492	387	1	then	then	ADV
cana-5492	387	2	ℋ	ℋ	PROPN
cana-5492	387	3	∘	∘	NUM
cana-5492	387	4	𝒢(s	𝒢(	NOUN
cana-5492	387	5	,	,	PUNCT
cana-5492	387	6	ϱ	ϱ	NOUN
cana-5492	387	7	)	)	PUNCT
cana-5492	387	8	is	be	AUX
cana-5492	387	9	nszcs	nszcs	NOUN
cana-5492	387	10	of	of	ADP
cana-5492	387	11	(	(	PUNCT
cana-5492	387	12	𝕌	𝕌	PROPN
cana-5492	387	13	,	,	PUNCT
cana-5492	387	14	𝜌	𝜌	X
cana-5492	387	15	,	,	PUNCT
cana-5492	387	16	ϱ	ϱ	NOUN
cana-5492	387	17	)	)	PUNCT
cana-5492	387	18	because	because	SCONJ
cana-5492	387	19	ℋ	ℋ	PROPN
cana-5492	387	20	∘	∘	NOUN
cana-5492	387	21	𝒢	𝒢	NOUN
cana-5492	387	22	is	be	AUX
cana-5492	387	23	nscontrazo	nscontrazo	ADJ
cana-5492	387	24	mapping	mapping	NOUN
cana-5492	387	25	.	.	PUNCT
cana-5492	388	1	as	as	SCONJ
cana-5492	388	2	ℋ	ℋ	PROPN
cana-5492	388	3	is	be	AUX
cana-5492	388	4	nscontraz	nscontraz	NOUN
cana-5492	388	5	-	-	PUNCT
cana-5492	388	6	irr	irr	NOUN
cana-5492	388	7	and	and	CCONJ
cana-5492	388	8	ℋ	ℋ	NOUN
cana-5492	388	9	∘	∘	NUM
cana-5492	388	10	𝒢(s	𝒢(	NOUN
cana-5492	388	11	,	,	PUNCT
cana-5492	388	12	ϱ	ϱ	NOUN
cana-5492	388	13	)	)	PUNCT
cana-5492	388	14	is	be	AUX
cana-5492	388	15	nszcs	nszcs	NOUN
cana-5492	388	16	of	of	ADP
cana-5492	388	17	(	(	PUNCT
cana-5492	388	18	𝕌	𝕌	PROPN
cana-5492	388	19	,	,	PUNCT
cana-5492	388	20	𝜌	𝜌	X
cana-5492	388	21	,	,	PUNCT
cana-5492	388	22	ϱ	ϱ	NOUN
cana-5492	388	23	)	)	PUNCT
cana-5492	388	24	therefore	therefore	ADV
cana-5492	388	25	ℋ	ℋ	ADJ
cana-5492	388	26	−1(ℋ	−1(ℋ	NOUN
cana-5492	388	27	∘	∘	PROPN
cana-5492	388	28	𝒢(s	𝒢(s	NOUN
cana-5492	388	29	,	,	PUNCT
cana-5492	388	30	ϱ	ϱ	NOUN
cana-5492	388	31	)	)	PUNCT
cana-5492	388	32	)	)	PUNCT
cana-5492	389	1	=	=	SYM
cana-5492	389	2	𝒢(s	𝒢(s	X
cana-5492	389	3	,	,	PUNCT
cana-5492	389	4	ϱ	ϱ	NOUN
cana-5492	389	5	)	)	PUNCT
cana-5492	389	6	is	be	AUX
cana-5492	389	7	nszos	nszos	ADV
cana-5492	389	8	in	in	ADP
cana-5492	389	9	(	(	PUNCT
cana-5492	389	10	𝕋	𝕋	PROPN
cana-5492	389	11	,	,	PUNCT
cana-5492	389	12	σ	σ	PROPN
cana-5492	389	13	,	,	PUNCT
cana-5492	389	14	ϱ	ϱ	NOUN
cana-5492	389	15	)	)	PUNCT
cana-5492	389	16	.	.	PUNCT
cana-5492	390	1	hence	hence	ADV
cana-5492	390	2	𝒢	𝒢	PROPN
cana-5492	390	3	is	be	AUX
cana-5492	390	4	nszo	nszo	ADJ
cana-5492	390	5	mapping	mapping	NOUN
cana-5492	390	6	.	.	PUNCT
cana-5492	391	1	theorem	theorem	VERB
cana-5492	391	2	5.7	5.7	NUM
cana-5492	391	3	if	if	SCONJ
cana-5492	391	4	𝒢	𝒢	PROPN
cana-5492	391	5	∶	∶	NOUN
cana-5492	391	6	(	(	PUNCT
cana-5492	391	7	𝕎	𝕎	PROPN
cana-5492	391	8	,	,	PUNCT
cana-5492	391	9	τ	τ	PROPN
cana-5492	391	10	,	,	PUNCT
cana-5492	391	11	ϱ	ϱ	PROPN
cana-5492	391	12	)	)	PUNCT
cana-5492	391	13	→	→	SYM
cana-5492	391	14	(	(	PUNCT
cana-5492	391	15	𝕋	𝕋	PROPN
cana-5492	391	16	,	,	PUNCT
cana-5492	391	17	σ	σ	PROPN
cana-5492	391	18	,	,	PUNCT
cana-5492	391	19	ϱ	ϱ	NOUN
cana-5492	391	20	)	)	PUNCT
cana-5492	391	21	is	be	AUX
cana-5492	391	22	nso	nso	NOUN
cana-5492	391	23	and	and	CCONJ
cana-5492	391	24	ℋ	ℋ	PROPN
cana-5492	391	25	:	:	PUNCT
cana-5492	391	26	(	(	PUNCT
cana-5492	391	27	𝕋	𝕋	PROPN
cana-5492	391	28	,	,	PUNCT
cana-5492	391	29	σ	σ	PROPN
cana-5492	391	30	,	,	PUNCT
cana-5492	391	31	ϱ	ϱ	NOUN
cana-5492	391	32	)	)	PUNCT
cana-5492	391	33	→	→	SYM
cana-5492	391	34	(	(	PUNCT
cana-5492	391	35	𝕌	𝕌	PROPN
cana-5492	391	36	,	,	PUNCT
cana-5492	391	37	𝜌	𝜌	X
cana-5492	391	38	,	,	PUNCT
cana-5492	391	39	ϱ	ϱ	NOUN
cana-5492	391	40	)	)	PUNCT
cana-5492	391	41	is	be	AUX
cana-5492	391	42	nscontrazo	nscontrazo	ADJ
cana-5492	391	43	mappings	mapping	NOUN
cana-5492	391	44	,	,	PUNCT
cana-5492	392	1	then	then	ADV
cana-5492	392	2	ℋ	ℋ	PROPN
cana-5492	392	3	∘	∘	PROPN
cana-5492	392	4	𝒢	𝒢	NOUN
cana-5492	392	5	:	:	PUNCT
cana-5492	392	6	(	(	PUNCT
cana-5492	392	7	𝕎	𝕎	PROPN
cana-5492	392	8	,	,	PUNCT
cana-5492	392	9	τ	τ	PROPN
cana-5492	392	10	,	,	PUNCT
cana-5492	392	11	ϱ	ϱ	PROPN
cana-5492	392	12	)	)	PUNCT
cana-5492	392	13	→	→	SYM
cana-5492	392	14	(	(	PUNCT
cana-5492	392	15	𝕌	𝕌	PROPN
cana-5492	392	16	,	,	PUNCT
cana-5492	392	17	𝜌	𝜌	X
cana-5492	392	18	,	,	PUNCT
cana-5492	392	19	ϱ	ϱ	NOUN
cana-5492	392	20	)	)	PUNCT
cana-5492	392	21	is	be	AUX
cana-5492	392	22	nscontrazo	nscontrazo	ADJ
cana-5492	392	23	.	.	PUNCT
cana-5492	393	1	proof	proof	NOUN
cana-5492	393	2	.	.	PUNCT
cana-5492	394	1	let	let	VERB
cana-5492	394	2	(	(	PUNCT
cana-5492	394	3	s	s	X
cana-5492	394	4	,	,	PUNCT
cana-5492	394	5	ϱ	ϱ	NOUN
cana-5492	394	6	)	)	PUNCT
cana-5492	394	7	be	be	VERB
cana-5492	394	8	a	a	DET
cana-5492	394	9	nsos	nsos	NOUN
cana-5492	394	10	in	in	ADP
cana-5492	394	11	(	(	PUNCT
cana-5492	394	12	𝕎	𝕎	PROPN
cana-5492	394	13	,	,	PUNCT
cana-5492	394	14	τ	τ	PROPN
cana-5492	394	15	,	,	PUNCT
cana-5492	394	16	ϱ	ϱ	NOUN
cana-5492	394	17	)	)	PUNCT
cana-5492	394	18	.	.	PUNCT
cana-5492	395	1	then	then	ADV
cana-5492	395	2	𝒢(s	𝒢(s	SYM
cana-5492	395	3	,	,	PUNCT
cana-5492	395	4	ϱ	ϱ	NOUN
cana-5492	395	5	)	)	PUNCT
cana-5492	395	6	is	be	AUX
cana-5492	395	7	a	a	DET
cana-5492	395	8	nsos	nsos	NOUN
cana-5492	395	9	of	of	ADP
cana-5492	395	10	(	(	PUNCT
cana-5492	395	11	𝕋	𝕋	PROPN
cana-5492	395	12	,	,	PUNCT
cana-5492	395	13	σ	σ	PROPN
cana-5492	395	14	,	,	PUNCT
cana-5492	395	15	ϱ	ϱ	NOUN
cana-5492	395	16	)	)	PUNCT
cana-5492	395	17	because	because	SCONJ
cana-5492	395	18	𝒢	𝒢	PROPN
cana-5492	395	19	is	be	AUX
cana-5492	395	20	a	a	DET
cana-5492	395	21	nso	nso	NOUN
cana-5492	395	22	mapping	mapping	NOUN
cana-5492	395	23	.	.	PUNCT
cana-5492	396	1	since	since	SCONJ
cana-5492	396	2	ℋ	ℋ	PROPN
cana-5492	396	3	is	be	AUX
cana-5492	396	4	nscontrazo	nscontrazo	ADJ
cana-5492	396	5	,	,	PUNCT
cana-5492	396	6	ℋ(𝒢(s	ℋ(𝒢(s	NOUN
cana-5492	396	7	,	,	PUNCT
cana-5492	396	8	ϱ	ϱ	NOUN
cana-5492	396	9	)	)	PUNCT
cana-5492	396	10	)	)	PUNCT
cana-5492	397	1	=	=	SYM
cana-5492	397	2	(	(	PUNCT
cana-5492	397	3	ℋ	ℋ	NOUN
cana-5492	397	4	∘	∘	ADJ
cana-5492	397	5	𝒢)(s	𝒢)(s	PROPN
cana-5492	397	6	,	,	PUNCT
cana-5492	397	7	ϱ	ϱ	NOUN
cana-5492	397	8	)	)	PUNCT
cana-5492	397	9	is	be	AUX
cana-5492	397	10	nszcs	nszcs	NOUN
cana-5492	397	11	of	of	ADP
cana-5492	397	12	(	(	PUNCT
cana-5492	397	13	𝕌	𝕌	PROPN
cana-5492	397	14	,	,	PUNCT
cana-5492	397	15	𝜌	𝜌	X
cana-5492	397	16	,	,	PUNCT
cana-5492	397	17	ϱ	ϱ	NOUN
cana-5492	397	18	)	)	PUNCT
cana-5492	397	19	.	.	PUNCT
cana-5492	398	1	hence	hence	ADV
cana-5492	398	2	ℋ	ℋ	NOUN
cana-5492	398	3	∘	∘	NOUN
cana-5492	398	4	𝒢	𝒢	NOUN
cana-5492	398	5	is	be	AUX
cana-5492	398	6	nscontrazo	nscontrazo	ADJ
cana-5492	398	7	mapping	mapping	NOUN
cana-5492	398	8	.	.	PUNCT
cana-5492	399	1	6	6	NUM
cana-5492	399	2	.	.	X
cana-5492	399	3	neutrosophic	neutrosophic	ADJ
cana-5492	399	4	soft	soft	ADJ
cana-5492	399	5	contra	contra	PROPN
cana-5492	399	6	z	z	PROPN
cana-5492	399	7	closed	close	VERB
cana-5492	399	8	mapping	mapping	NOUN
cana-5492	399	9	definition	definition	NOUN
cana-5492	399	10	6.1	6.1	NUM
cana-5492	399	11	a	a	DET
cana-5492	399	12	mapping	mapping	NOUN
cana-5492	399	13	𝒢	𝒢	NOUN
cana-5492	399	14	:	:	PUNCT
cana-5492	399	15	(	(	PUNCT
cana-5492	399	16	𝕎	𝕎	PROPN
cana-5492	399	17	,	,	PUNCT
cana-5492	399	18	τ	τ	PROPN
cana-5492	399	19	,	,	PUNCT
cana-5492	399	20	ϱ	ϱ	PROPN
cana-5492	399	21	)	)	PUNCT
cana-5492	399	22	→	→	SYM
cana-5492	399	23	(	(	PUNCT
cana-5492	399	24	𝕋	𝕋	PROPN
cana-5492	399	25	,	,	PUNCT
cana-5492	399	26	σ	σ	PROPN
cana-5492	399	27	,	,	PUNCT
cana-5492	399	28	ϱ	ϱ	NOUN
cana-5492	399	29	)	)	PUNCT
cana-5492	399	30	is	be	AUX
cana-5492	399	31	neutrosophic	neutrosophic	ADJ
cana-5492	399	32	soft	soft	ADJ
cana-5492	399	33	contra	contra	PROPN
cana-5492	399	34	z	z	PROPN
cana-5492	399	35	–	–	PUNCT
cana-5492	399	36	closed	close	VERB
cana-5492	399	37	(	(	PUNCT
cana-5492	399	38	briefly	briefly	ADV
cana-5492	399	39	,	,	PUNCT
cana-5492	399	40	nscontrazc	nscontrazc	ADJ
cana-5492	399	41	)	)	PUNCT
cana-5492	399	42	if	if	SCONJ
cana-5492	399	43	image	image	NOUN
cana-5492	399	44	of	of	ADP
cana-5492	399	45	every	every	DET
cana-5492	399	46	nscs	nscs	NOUN
cana-5492	399	47	of	of	ADP
cana-5492	399	48	(	(	PUNCT
cana-5492	399	49	𝕎	𝕎	PROPN
cana-5492	399	50	,	,	PUNCT
cana-5492	399	51	τ	τ	PROPN
cana-5492	399	52	,	,	PUNCT
cana-5492	399	53	ϱ	ϱ	PROPN
cana-5492	399	54	)	)	PUNCT
cana-5492	399	55	is	be	AUX
cana-5492	399	56	a	a	DET
cana-5492	399	57	nszos	nszos	NOUN
cana-5492	399	58	in	in	ADP
cana-5492	399	59	(	(	PUNCT
cana-5492	399	60	𝕋	𝕋	PROPN
cana-5492	399	61	,	,	PUNCT
cana-5492	399	62	σ	σ	PROPN
cana-5492	399	63	,	,	PUNCT
cana-5492	399	64	ϱ	ϱ	NOUN
cana-5492	399	65	)	)	PUNCT
cana-5492	399	66	.	.	PUNCT
cana-5492	400	1	theorem	theorem	VERB
cana-5492	400	2	6.1	6.1	NUM
cana-5492	400	3	the	the	DET
cana-5492	400	4	statements	statement	NOUN
cana-5492	400	5	are	be	AUX
cana-5492	400	6	hold	hold	NOUN
cana-5492	400	7	but	but	CCONJ
cana-5492	400	8	the	the	DET
cana-5492	400	9	converse	converse	NOUN
cana-5492	400	10	does	do	AUX
cana-5492	400	11	not	not	PART
cana-5492	400	12	true	true	ADJ
cana-5492	400	13	.	.	PUNCT
cana-5492	401	1	every	every	DET
cana-5492	401	2	a	a	DET
cana-5492	401	3	)	)	PUNCT
cana-5492	401	4	nscontraδc	nscontraδc	NOUN
cana-5492	401	5	is	be	AUX
cana-5492	401	6	a	a	DET
cana-5492	401	7	nscontrac	nscontrac	NOUN
cana-5492	401	8	.	.	PUNCT
cana-5492	402	1	b	b	X
cana-5492	402	2	)	)	PUNCT
cana-5492	402	3	nscontrac	nscontrac	NOUN
cana-5492	402	4	is	be	AUX
cana-5492	402	5	a	a	DET
cana-5492	402	6	nscontraδsc	nscontraδsc	NOUN
cana-5492	402	7	.	.	PUNCT
cana-5492	403	1	c	c	X
cana-5492	403	2	)	)	PUNCT
cana-5492	403	3	nscontrac	nscontrac	PROPN
cana-5492	403	4	is	be	AUX
cana-5492	403	5	a	a	DET
cana-5492	403	6	nscontrapc	nscontrapc	NOUN
cana-5492	403	7	.	.	PUNCT
cana-5492	404	1	d	d	X
cana-5492	404	2	)	)	PUNCT
cana-5492	404	3	nscontraδsc	nscontraδsc	PROPN
cana-5492	404	4	is	be	AUX
cana-5492	404	5	a	a	DET
cana-5492	404	6	nscontrazc	nscontrazc	NOUN
cana-5492	404	7	.	.	PUNCT
cana-5492	405	1	e	e	X
cana-5492	405	2	)	)	PUNCT
cana-5492	405	3	nscontrapc	nscontrapc	NOUN
cana-5492	405	4	is	be	AUX
cana-5492	405	5	a	a	DET
cana-5492	405	6	nscontrazc	nscontrazc	NOUN
cana-5492	405	7	.	.	PUNCT
cana-5492	406	1	f	f	X
cana-5492	406	2	)	)	PUNCT
cana-5492	406	3	nscontrazc	nscontrazc	NOUN
cana-5492	406	4	is	be	AUX
cana-5492	406	5	a	a	DET
cana-5492	406	6	nscontraec	nscontraec	NOUN
cana-5492	406	7	.	.	PUNCT
cana-5492	407	1	proof	proof	NOUN
cana-5492	407	2	.	.	PUNCT
cana-5492	408	1	consider	consider	VERB
cana-5492	408	2	the	the	DET
cana-5492	408	3	map	map	NOUN
cana-5492	408	4	𝒢	𝒢	NOUN
cana-5492	408	5	:	:	PUNCT
cana-5492	408	6	(	(	PUNCT
cana-5492	408	7	𝕎	𝕎	PROPN
cana-5492	408	8	,	,	PUNCT
cana-5492	408	9	τ	τ	PROPN
cana-5492	408	10	,	,	PUNCT
cana-5492	408	11	ϱ	ϱ	PROPN
cana-5492	408	12	)	)	PUNCT
cana-5492	408	13	→	→	SYM
cana-5492	408	14	(	(	PUNCT
cana-5492	408	15	𝕋	𝕋	PROPN
cana-5492	408	16	,	,	PUNCT
cana-5492	408	17	σ	σ	PROPN
cana-5492	408	18	,	,	PUNCT
cana-5492	408	19	ϱ	ϱ	NOUN
cana-5492	408	20	)	)	PUNCT
cana-5492	408	21	(	(	PUNCT
cana-5492	408	22	a	a	X
cana-5492	408	23	)	)	PUNCT
cana-5492	408	24	let	let	NOUN
cana-5492	408	25	(	(	PUNCT
cana-5492	408	26	𝑆	𝑆	PROPN
cana-5492	408	27	,	,	PUNCT
cana-5492	408	28	ϱ	ϱ	PROPN
cana-5492	408	29	)	)	PUNCT
cana-5492	408	30	be	be	VERB
cana-5492	408	31	a	a	DET
cana-5492	408	32	nscs	nscs	NOUN
cana-5492	408	33	in	in	ADP
cana-5492	408	34	𝕎.	𝕎.	PROPN
cana-5492	408	35	as	as	SCONJ
cana-5492	408	36	𝒢	𝒢	PROPN
cana-5492	408	37	is	be	AUX
cana-5492	408	38	nscontraδc	nscontraδc	PROPN
cana-5492	408	39	,	,	PUNCT
cana-5492	408	40	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	408	41	,	,	PUNCT
cana-5492	408	42	ϱ	ϱ	NOUN
cana-5492	408	43	)	)	PUNCT
cana-5492	408	44	is	be	AUX
cana-5492	408	45	a	a	DET
cana-5492	408	46	nsδos	nsδos	NOUN
cana-5492	408	47	in	in	ADP
cana-5492	408	48	𝕋.	𝕋.	NOUN
cana-5492	408	49	since	since	SCONJ
cana-5492	408	50	all	all	DET
cana-5492	408	51	nsδos	nsδo	NOUN
cana-5492	408	52	are	be	AUX
cana-5492	408	53	nsos	nsos	PRON
cana-5492	408	54	,	,	PUNCT
cana-5492	408	55	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	408	56	,	,	PUNCT
cana-5492	408	57	ϱ	ϱ	NOUN
cana-5492	408	58	)	)	PUNCT
cana-5492	408	59	is	be	AUX
cana-5492	408	60	nsos	nsos	ADJ
cana-5492	408	61	in	in	ADP
cana-5492	408	62	𝕋.	𝕋.	NOUN
cana-5492	408	63	then	then	ADV
cana-5492	408	64	,	,	PUNCT
cana-5492	408	65	𝒢	𝒢	PROPN
cana-5492	408	66	is	be	AUX
cana-5492	408	67	a	a	DET
cana-5492	408	68	nscontrac	nscontrac	NOUN
cana-5492	408	69	.	.	PUNCT
cana-5492	409	1	(	(	PUNCT
cana-5492	409	2	b	b	X
cana-5492	409	3	)	)	PUNCT
cana-5492	409	4	let	let	NOUN
cana-5492	409	5	(	(	PUNCT
cana-5492	409	6	𝑆	𝑆	PROPN
cana-5492	409	7	,	,	PUNCT
cana-5492	409	8	ϱ	ϱ	PROPN
cana-5492	409	9	)	)	PUNCT
cana-5492	409	10	be	be	VERB
cana-5492	409	11	a	a	DET
cana-5492	409	12	nscs	nscs	NOUN
cana-5492	409	13	in	in	ADP
cana-5492	409	14	𝕎.	𝕎.	PROPN
cana-5492	409	15	as	as	SCONJ
cana-5492	409	16	𝒢	𝒢	PROPN
cana-5492	409	17	is	be	AUX
cana-5492	409	18	nscontrac	nscontrac	NUM
cana-5492	409	19	,	,	PUNCT
cana-5492	409	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	409	21	,	,	PUNCT
cana-5492	409	22	ϱ	ϱ	NOUN
cana-5492	409	23	)	)	PUNCT
cana-5492	409	24	is	be	AUX
cana-5492	409	25	a	a	DET
cana-5492	409	26	nsos	nsos	NOUN
cana-5492	409	27	in	in	ADP
cana-5492	409	28	𝕋.	𝕋.	NOUN
cana-5492	409	29	since	since	SCONJ
cana-5492	409	30	all	all	DET
cana-5492	409	31	nsos	nsos	NOUN
cana-5492	409	32	are	be	AUX
cana-5492	409	33	nsδsos	nsδsos	PRON
cana-5492	409	34	,	,	PUNCT
cana-5492	409	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	409	36	,	,	PUNCT
cana-5492	409	37	ϱ	ϱ	NOUN
cana-5492	409	38	)	)	PUNCT
cana-5492	409	39	is	be	AUX
cana-5492	409	40	a	a	DET
cana-5492	409	41	nsδsos	nsδsos	NOUN
cana-5492	409	42	in	in	ADP
cana-5492	409	43	𝕋.	𝕋.	NOUN
cana-5492	409	44	then	then	ADV
cana-5492	409	45	,	,	PUNCT
cana-5492	409	46	𝒢	𝒢	PROPN
cana-5492	409	47	is	be	AUX
cana-5492	409	48	a	a	DET
cana-5492	409	49	nscontraδs	nscontraδs	NOUN
cana-5492	409	50	.	.	PUNCT
cana-5492	410	1	(	(	PUNCT
cana-5492	410	2	c	c	X
cana-5492	410	3	)	)	PUNCT
cana-5492	410	4	let	let	NOUN
cana-5492	410	5	(	(	PUNCT
cana-5492	410	6	𝑆	𝑆	PROPN
cana-5492	410	7	,	,	PUNCT
cana-5492	410	8	ϱ	ϱ	PROPN
cana-5492	410	9	)	)	PUNCT
cana-5492	410	10	be	be	VERB
cana-5492	410	11	a	a	DET
cana-5492	410	12	nscs	nscs	NOUN
cana-5492	410	13	in	in	ADP
cana-5492	410	14	𝕎.	𝕎.	PROPN
cana-5492	410	15	as	as	SCONJ
cana-5492	410	16	𝒢	𝒢	PROPN
cana-5492	410	17	is	be	AUX
cana-5492	410	18	nscontrac	nscontrac	NUM
cana-5492	410	19	,	,	PUNCT
cana-5492	410	20	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	410	21	,	,	PUNCT
cana-5492	410	22	ϱ	ϱ	NOUN
cana-5492	410	23	)	)	PUNCT
cana-5492	410	24	is	be	AUX
cana-5492	410	25	a	a	DET
cana-5492	410	26	nsos	nsos	NOUN
cana-5492	410	27	in	in	ADP
cana-5492	410	28	𝕋.	𝕋.	NOUN
cana-5492	410	29	since	since	SCONJ
cana-5492	410	30	all	all	DET
cana-5492	410	31	nsos	nsos	NOUN
cana-5492	410	32	are	be	AUX
cana-5492	410	33	nspos	nspos	NOUN
cana-5492	410	34	,	,	PUNCT
cana-5492	410	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	410	36	,	,	PUNCT
cana-5492	410	37	ϱ	ϱ	NOUN
cana-5492	410	38	)	)	PUNCT
cana-5492	410	39	is	be	AUX
cana-5492	410	40	a	a	DET
cana-5492	410	41	nspos	nspos	NOUN
cana-5492	410	42	in	in	ADP
cana-5492	410	43	𝕋.	𝕋.	NOUN
cana-5492	410	44	hence	hence	ADV
cana-5492	410	45	,	,	PUNCT
cana-5492	410	46	𝒢	𝒢	PROPN
cana-5492	410	47	is	be	AUX
cana-5492	410	48	a	a	DET
cana-5492	410	49	nscontrapc	nscontrapc	NOUN
cana-5492	410	50	.	.	PUNCT
cana-5492	411	1	(	(	PUNCT
cana-5492	411	2	d	d	X
cana-5492	411	3	)	)	PUNCT
cana-5492	411	4	let	let	AUX
cana-5492	411	5	(	(	PUNCT
cana-5492	411	6	𝑆	𝑆	PROPN
cana-5492	411	7	,	,	PUNCT
cana-5492	411	8	ϱ	ϱ	PROPN
cana-5492	411	9	)	)	PUNCT
cana-5492	411	10	be	be	VERB
cana-5492	411	11	a	a	DET
cana-5492	411	12	nscs	nscs	NOUN
cana-5492	411	13	in	in	ADP
cana-5492	411	14	𝕎.	𝕎.	PROPN
cana-5492	411	15	as	as	SCONJ
cana-5492	411	16	𝒢	𝒢	PROPN
cana-5492	411	17	is	be	AUX
cana-5492	411	18	nscontraδsc	nscontraδsc	PROPN
cana-5492	411	19	,	,	PUNCT
cana-5492	411	20	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	411	21	,	,	PUNCT
cana-5492	411	22	ϱ	ϱ	NOUN
cana-5492	411	23	)	)	PUNCT
cana-5492	411	24	is	be	AUX
cana-5492	411	25	a	a	DET
cana-5492	411	26	nsδsos	nsδsos	NOUN
cana-5492	411	27	in	in	ADP
cana-5492	411	28	𝕋.	𝕋.	NOUN
cana-5492	411	29	since	since	SCONJ
cana-5492	411	30	all	all	DET
cana-5492	411	31	nsδsos	nsδsos	NOUN
cana-5492	411	32	is	be	AUX
cana-5492	411	33	a	a	DET
cana-5492	411	34	nszos	nszos	NOUN
cana-5492	411	35	,	,	PUNCT
cana-5492	411	36	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	411	37	,	,	PUNCT
cana-5492	411	38	ϱ	ϱ	NOUN
cana-5492	411	39	)	)	PUNCT
cana-5492	411	40	is	be	AUX
cana-5492	411	41	a	a	DET
cana-5492	411	42	nszos	nszos	NOUN
cana-5492	411	43	in	in	ADP
cana-5492	411	44	𝕋.	𝕋.	NOUN
cana-5492	411	45	hence	hence	ADV
cana-5492	411	46	,	,	PUNCT
cana-5492	411	47	𝒢	𝒢	PROPN
cana-5492	411	48	is	be	AUX
cana-5492	411	49	a	a	DET
cana-5492	411	50	nscontrazc	nscontrazc	NOUN
cana-5492	411	51	.	.	PUNCT
cana-5492	412	1	(	(	PUNCT
cana-5492	412	2	e	e	X
cana-5492	412	3	)	)	PUNCT
cana-5492	412	4	let	let	VERB
cana-5492	412	5	(	(	PUNCT
cana-5492	412	6	𝑆	𝑆	PROPN
cana-5492	412	7	,	,	PUNCT
cana-5492	412	8	ϱ	ϱ	PROPN
cana-5492	412	9	)	)	PUNCT
cana-5492	412	10	be	be	VERB
cana-5492	412	11	a	a	DET
cana-5492	412	12	nscs	nscs	NOUN
cana-5492	412	13	in	in	ADP
cana-5492	412	14	𝕎.	𝕎.	PROPN
cana-5492	412	15	as	as	SCONJ
cana-5492	412	16	𝒢	𝒢	PROPN
cana-5492	412	17	is	be	AUX
cana-5492	412	18	nscontrapc	nscontrapc	NOUN
cana-5492	412	19	,	,	PUNCT
cana-5492	412	20	𝒢(𝑆	𝒢(𝑆	PROPN
cana-5492	412	21	,	,	PUNCT
cana-5492	412	22	ϱ	ϱ	NOUN
cana-5492	412	23	)	)	PUNCT
cana-5492	412	24	is	be	AUX
cana-5492	412	25	a	a	DET
cana-5492	412	26	nspos	nspos	NOUN
cana-5492	412	27	in	in	ADP
cana-5492	412	28	𝕋.	𝕋.	NOUN
cana-5492	412	29	since	since	SCONJ
cana-5492	412	30	all	all	DET
cana-5492	412	31	nspos	nspos	NOUN
cana-5492	412	32	are	be	AUX
cana-5492	412	33	nszos	nszos	ADV
cana-5492	412	34	,	,	PUNCT
cana-5492	412	35	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	412	36	,	,	PUNCT
cana-5492	412	37	ϱ	ϱ	NOUN
cana-5492	412	38	)	)	PUNCT
cana-5492	412	39	is	be	AUX
cana-5492	412	40	a	a	DET
cana-5492	412	41	nszos	nszos	NOUN
cana-5492	412	42	in	in	ADP
cana-5492	412	43	𝕋.	𝕋.	NOUN
cana-5492	412	44	hence	hence	ADV
cana-5492	412	45	,	,	PUNCT
cana-5492	412	46	𝒢	𝒢	PROPN
cana-5492	412	47	is	be	AUX
cana-5492	412	48	a	a	DET
cana-5492	412	49	nscontrazc	nscontrazc	NOUN
cana-5492	412	50	.	.	PUNCT
cana-5492	413	1	communications	communication	NOUN
cana-5492	413	2	on	on	ADP
cana-5492	413	3	applied	apply	VERB
cana-5492	413	4	nonlinear	nonlinear	ADJ
cana-5492	413	5	analysis	analysis	NOUN
cana-5492	413	6	issn	issn	NOUN
cana-5492	413	7	:	:	PUNCT
cana-5492	413	8	1074	1074	NUM
cana-5492	413	9	-	-	PUNCT
cana-5492	413	10	133x	133x	NUM
cana-5492	413	11	vol	vol	VERB
cana-5492	413	12	32	32	NUM
cana-5492	413	13	no	no	NOUN
cana-5492	413	14	.	.	PUNCT
cana-5492	414	1	10s	10	NOUN
cana-5492	414	2	(	(	PUNCT
cana-5492	414	3	2025	2025	NUM
cana-5492	414	4	)	)	PUNCT
cana-5492	414	5	2459	2459	NUM
cana-5492	414	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	414	7	(	(	PUNCT
cana-5492	414	8	f	f	X
cana-5492	414	9	)	)	PUNCT
cana-5492	414	10	let	let	VERB
cana-5492	414	11	(	(	PUNCT
cana-5492	414	12	𝑆	𝑆	PROPN
cana-5492	414	13	,	,	PUNCT
cana-5492	414	14	ϱ	ϱ	PROPN
cana-5492	414	15	)	)	PUNCT
cana-5492	414	16	be	be	VERB
cana-5492	414	17	a	a	DET
cana-5492	414	18	nscs	nscs	NOUN
cana-5492	414	19	in	in	ADP
cana-5492	414	20	𝕎.	𝕎.	PROPN
cana-5492	414	21	as	as	SCONJ
cana-5492	414	22	𝒢	𝒢	PROPN
cana-5492	414	23	is	be	AUX
cana-5492	414	24	nscontrazc	nscontrazc	ADJ
cana-5492	414	25	,	,	PUNCT
cana-5492	414	26	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	414	27	,	,	PUNCT
cana-5492	414	28	ϱ	ϱ	NOUN
cana-5492	414	29	)	)	PUNCT
cana-5492	414	30	is	be	AUX
cana-5492	414	31	a	a	DET
cana-5492	414	32	nszos	nszos	NOUN
cana-5492	414	33	in	in	ADP
cana-5492	414	34	𝕋.	𝕋.	NOUN
cana-5492	414	35	since	since	SCONJ
cana-5492	414	36	all	all	DET
cana-5492	414	37	nszos	nszos	PROPN
cana-5492	414	38	is	be	AUX
cana-5492	414	39	a	a	DET
cana-5492	414	40	nseos	nseos	NOUN
cana-5492	414	41	,	,	PUNCT
cana-5492	414	42	𝒢(𝑆	𝒢(𝑆	NUM
cana-5492	414	43	,	,	PUNCT
cana-5492	414	44	ϱ	ϱ	NOUN
cana-5492	414	45	)	)	PUNCT
cana-5492	414	46	is	be	AUX
cana-5492	414	47	a	a	DET
cana-5492	414	48	nseos	nseos	NOUN
cana-5492	414	49	in	in	ADP
cana-5492	414	50	𝕋.	𝕋.	NOUN
cana-5492	414	51	hence	hence	ADV
cana-5492	414	52	,	,	PUNCT
cana-5492	414	53	𝒢	𝒢	PROPN
cana-5492	414	54	is	be	AUX
cana-5492	414	55	a	a	DET
cana-5492	414	56	nscontraec	nscontraec	ADJ
cana-5492	414	57	example	example	NOUN
cana-5492	414	58	6.1	6.1	NUM
cana-5492	414	59	in	in	ADP
cana-5492	414	60	example	example	NOUN
cana-5492	414	61	5.1	5.1	NUM
cana-5492	414	62	,	,	PUNCT
cana-5492	414	63	𝒢	𝒢	NOUN
cana-5492	414	64	is	be	AUX
cana-5492	414	65	a	a	DET
cana-5492	414	66	nscontrac	nscontrac	NOUN
cana-5492	414	67	but	but	CCONJ
cana-5492	414	68	not	not	PART
cana-5492	414	69	nscontraδc	nscontraδc	NOUN
cana-5492	414	70	mapping	mapping	NOUN
cana-5492	414	71	because	because	SCONJ
cana-5492	414	72	the	the	DET
cana-5492	414	73	set	set	NOUN
cana-5492	414	74	(	(	PUNCT
cana-5492	414	75	𝑉1	𝑉1	PROPN
cana-5492	414	76	,	,	PUNCT
cana-5492	414	77	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	78	is	be	AUX
cana-5492	414	79	nscs	nsc	VERB
cana-5492	414	80	in	in	ADP
cana-5492	414	81	𝕎	𝕎	PROPN
cana-5492	414	82	and	and	CCONJ
cana-5492	414	83	𝒢(𝑉1	𝒢(𝑉1	NOUN
cana-5492	414	84	,	,	PUNCT
cana-5492	414	85	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	86	=	=	SYM
cana-5492	414	87	(	(	PUNCT
cana-5492	414	88	𝑆4	𝑆4	PROPN
cana-5492	414	89	,	,	PUNCT
cana-5492	414	90	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	91	is	be	AUX
cana-5492	414	92	nsos	nsos	ADJ
cana-5492	414	93	but	but	CCONJ
cana-5492	414	94	not	not	PART
cana-5492	414	95	nsδos	nsδos	VERB
cana-5492	414	96	in	in	ADP
cana-5492	414	97	𝕋.	𝕋.	NOUN
cana-5492	414	98	example	example	NOUN
cana-5492	414	99	6.2	6.2	NUM
cana-5492	414	100	in	in	ADP
cana-5492	414	101	example	example	NOUN
cana-5492	414	102	5.2	5.2	NUM
cana-5492	414	103	,	,	PUNCT
cana-5492	414	104	𝒢	𝒢	NOUN
cana-5492	414	105	is	be	AUX
cana-5492	414	106	a	a	DET
cana-5492	414	107	nscontrapc	nscontrapc	NOUN
cana-5492	414	108	but	but	CCONJ
cana-5492	414	109	not	not	PART
cana-5492	414	110	nscontrac	nscontrac	VERB
cana-5492	414	111	mapping	mapping	NOUN
cana-5492	414	112	because	because	SCONJ
cana-5492	414	113	the	the	DET
cana-5492	414	114	set	set	NOUN
cana-5492	414	115	(	(	PUNCT
cana-5492	414	116	𝑉1	𝑉1	PROPN
cana-5492	414	117	,	,	PUNCT
cana-5492	414	118	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	119	is	be	AUX
cana-5492	414	120	nscs	nsc	VERB
cana-5492	414	121	in	in	ADP
cana-5492	414	122	𝕎	𝕎	PROPN
cana-5492	414	123	and	and	CCONJ
cana-5492	414	124	𝒢(𝑉1	𝒢(𝑉1	NOUN
cana-5492	414	125	,	,	PUNCT
cana-5492	414	126	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	127	=	=	SYM
cana-5492	414	128	(	(	PUNCT
cana-5492	414	129	𝑆4	𝑆4	PROPN
cana-5492	414	130	,	,	PUNCT
cana-5492	414	131	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	132	is	be	AUX
cana-5492	414	133	nspos	nspos	NOUN
cana-5492	414	134	but	but	CCONJ
cana-5492	414	135	not	not	PART
cana-5492	414	136	nsos	nsos	NOUN
cana-5492	414	137	in	in	ADP
cana-5492	414	138	𝕋.	𝕋.	NOUN
cana-5492	414	139	example	example	NOUN
cana-5492	414	140	6.3	6.3	NUM
cana-5492	414	141	in	in	ADP
cana-5492	414	142	example	example	NOUN
cana-5492	414	143	5.3	5.3	NUM
cana-5492	414	144	,	,	PUNCT
cana-5492	414	145	(	(	PUNCT
cana-5492	414	146	i	i	NOUN
cana-5492	414	147	)	)	PUNCT
cana-5492	414	148	𝒢	𝒢	NOUN
cana-5492	414	149	is	be	AUX
cana-5492	414	150	a	a	DET
cana-5492	414	151	nscontraδsc	nscontraδsc	NOUN
cana-5492	414	152	but	but	CCONJ
cana-5492	414	153	not	not	PART
cana-5492	414	154	nscontrac	nscontrac	VERB
cana-5492	414	155	mapping	mapping	NOUN
cana-5492	414	156	because	because	SCONJ
cana-5492	414	157	the	the	DET
cana-5492	414	158	set	set	NOUN
cana-5492	414	159	(	(	PUNCT
cana-5492	414	160	𝑉1	𝑉1	PROPN
cana-5492	414	161	,	,	PUNCT
cana-5492	414	162	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	163	is	be	AUX
cana-5492	414	164	nscs	nsc	VERB
cana-5492	414	165	in	in	ADP
cana-5492	414	166	𝕎	𝕎	PROPN
cana-5492	414	167	and	and	CCONJ
cana-5492	414	168	𝒢(𝑉1	𝒢(𝑉1	NOUN
cana-5492	414	169	,	,	PUNCT
cana-5492	414	170	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	171	=	=	SYM
cana-5492	414	172	(	(	PUNCT
cana-5492	414	173	𝑆4	𝑆4	PROPN
cana-5492	414	174	,	,	PUNCT
cana-5492	414	175	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	414	176	is	be	AUX
cana-5492	414	177	nsδsos	nsδsos	NOUN
cana-5492	414	178	but	but	CCONJ
cana-5492	414	179	not	not	PART
cana-5492	414	180	nsos	nsos	NOUN
cana-5492	414	181	in	in	ADP
cana-5492	414	182	𝕋.	𝕋.	NOUN
cana-5492	414	183	(	(	PUNCT
cana-5492	414	184	ii	ii	NOUN
cana-5492	414	185	)	)	PUNCT
cana-5492	415	1	𝒢	𝒢	NOUN
cana-5492	415	2	is	be	AUX
cana-5492	415	3	a	a	DET
cana-5492	415	4	nscontrazc	nscontrazc	NOUN
cana-5492	415	5	but	but	CCONJ
cana-5492	415	6	not	not	PART
cana-5492	415	7	nscontrapc	nscontrapc	NOUN
cana-5492	415	8	mapping	mapping	NOUN
cana-5492	415	9	because	because	SCONJ
cana-5492	415	10	the	the	DET
cana-5492	415	11	set	set	NOUN
cana-5492	415	12	(	(	PUNCT
cana-5492	415	13	𝑉1	𝑉1	PROPN
cana-5492	415	14	,	,	PUNCT
cana-5492	415	15	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	16	is	be	AUX
cana-5492	415	17	nscs	nsc	VERB
cana-5492	415	18	in	in	ADP
cana-5492	415	19	𝕎	𝕎	PROPN
cana-5492	415	20	and	and	CCONJ
cana-5492	415	21	𝒢(𝑉1	𝒢(𝑉1	NOUN
cana-5492	415	22	,	,	PUNCT
cana-5492	415	23	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	24	=	=	SYM
cana-5492	415	25	(	(	PUNCT
cana-5492	415	26	𝑆4	𝑆4	PROPN
cana-5492	415	27	,	,	PUNCT
cana-5492	415	28	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	29	is	be	AUX
cana-5492	415	30	nszos	nszos	ADV
cana-5492	415	31	but	but	CCONJ
cana-5492	415	32	not	not	PART
cana-5492	415	33	nspos	nspos	NOUN
cana-5492	415	34	in	in	ADP
cana-5492	415	35	𝕋.	𝕋.	NOUN
cana-5492	415	36	example	example	NOUN
cana-5492	415	37	6.4	6.4	NUM
cana-5492	415	38	in	in	ADP
cana-5492	415	39	example	example	NOUN
cana-5492	415	40	5.4	5.4	NUM
cana-5492	415	41	,	,	PUNCT
cana-5492	415	42	𝒢	𝒢	NOUN
cana-5492	415	43	is	be	AUX
cana-5492	415	44	a	a	DET
cana-5492	415	45	nscontrazc	nscontrazc	NOUN
cana-5492	415	46	but	but	CCONJ
cana-5492	415	47	not	not	PART
cana-5492	415	48	nscontraδsc	nscontraδsc	VERB
cana-5492	415	49	mapping	mapping	NOUN
cana-5492	415	50	because	because	SCONJ
cana-5492	415	51	the	the	DET
cana-5492	415	52	set	set	NOUN
cana-5492	415	53	(	(	PUNCT
cana-5492	415	54	𝑉1	𝑉1	PROPN
cana-5492	415	55	,	,	PUNCT
cana-5492	415	56	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	57	is	be	AUX
cana-5492	415	58	nscs	nsc	VERB
cana-5492	415	59	in	in	ADP
cana-5492	415	60	𝕎	𝕎	PROPN
cana-5492	415	61	and	and	CCONJ
cana-5492	415	62	𝒢(𝑉1	𝒢(𝑉1	NOUN
cana-5492	415	63	,	,	PUNCT
cana-5492	415	64	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	65	=	=	SYM
cana-5492	415	66	(	(	PUNCT
cana-5492	415	67	𝑆4	𝑆4	PROPN
cana-5492	415	68	,	,	PUNCT
cana-5492	415	69	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	70	is	be	AUX
cana-5492	415	71	nszos	nszos	ADV
cana-5492	415	72	but	but	CCONJ
cana-5492	415	73	not	not	PART
cana-5492	415	74	nsδsos	nsδsos	ADV
cana-5492	415	75	in	in	ADP
cana-5492	415	76	𝕋.	𝕋.	NOUN
cana-5492	415	77	example	example	NOUN
cana-5492	415	78	6.5	6.5	NUM
cana-5492	415	79	in	in	ADP
cana-5492	415	80	example	example	NOUN
cana-5492	415	81	5.5	5.5	NUM
cana-5492	415	82	,	,	PUNCT
cana-5492	415	83	𝒢	𝒢	NOUN
cana-5492	415	84	is	be	AUX
cana-5492	415	85	a	a	DET
cana-5492	415	86	nscontraec	nscontraec	NOUN
cana-5492	415	87	but	but	CCONJ
cana-5492	415	88	not	not	PART
cana-5492	415	89	nscontrazc	nscontrazc	ADJ
cana-5492	415	90	mapping	mapping	NOUN
cana-5492	415	91	because	because	SCONJ
cana-5492	415	92	the	the	DET
cana-5492	415	93	set	set	NOUN
cana-5492	415	94	(	(	PUNCT
cana-5492	415	95	𝑄1	𝑄1	PROPN
cana-5492	415	96	,	,	PUNCT
cana-5492	415	97	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	98	is	be	AUX
cana-5492	415	99	nscs	nsc	VERB
cana-5492	415	100	in	in	ADP
cana-5492	415	101	𝕎	𝕎	PROPN
cana-5492	415	102	and	and	CCONJ
cana-5492	415	103	𝒢(𝑄1	𝒢(𝑄1	NOUN
cana-5492	415	104	,	,	PUNCT
cana-5492	415	105	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	106	=	=	SYM
cana-5492	415	107	(	(	PUNCT
cana-5492	415	108	𝑃3	𝑃3	NOUN
cana-5492	415	109	,	,	PUNCT
cana-5492	415	110	ϱ)𝑐	ϱ)𝑐	NOUN
cana-5492	415	111	is	be	AUX
cana-5492	415	112	nseos	nseos	NOUN
cana-5492	415	113	but	but	CCONJ
cana-5492	415	114	not	not	PART
cana-5492	415	115	nszos	nszos	ADV
cana-5492	415	116	in	in	ADP
cana-5492	415	117	𝕋.	𝕋.	NOUN
cana-5492	415	118	remark	remark	NOUN
cana-5492	415	119	6.1	6.1	NUM
cana-5492	415	120	the	the	DET
cana-5492	415	121	diagram	diagram	NOUN
cana-5492	415	122	shows	show	VERB
cana-5492	415	123	nsconrazo	nsconrazo	NOUN
cana-5492	415	124	mappings	mapping	NOUN
cana-5492	415	125	in	in	ADP
cana-5492	415	126	nsts	nst	NOUN
cana-5492	415	127	.	.	PUNCT
cana-5492	416	1	diagram.3	diagram.3	ADJ
cana-5492	416	2	neutrosophic	neutrosophic	ADJ
cana-5492	416	3	soft	soft	ADJ
cana-5492	416	4	contra	contra	PROPN
cana-5492	416	5	z	z	PROPN
cana-5492	416	6	–	–	PUNCT
cana-5492	416	7	closed	close	VERB
cana-5492	416	8	maps	map	NOUN
cana-5492	416	9	theorem	theorem	VERB
cana-5492	416	10	6.2	6.2	NUM
cana-5492	416	11	a	a	DET
cana-5492	416	12	mapping	mapping	NOUN
cana-5492	416	13	𝒢	𝒢	NOUN
cana-5492	416	14	:	:	PUNCT
cana-5492	416	15	(	(	PUNCT
cana-5492	416	16	𝕎	𝕎	PROPN
cana-5492	416	17	,	,	PUNCT
cana-5492	416	18	τ	τ	PROPN
cana-5492	416	19	,	,	PUNCT
cana-5492	416	20	ϱ	ϱ	PROPN
cana-5492	416	21	)	)	PUNCT
cana-5492	416	22	→	→	SYM
cana-5492	416	23	(	(	PUNCT
cana-5492	416	24	𝕋	𝕋	PROPN
cana-5492	416	25	,	,	PUNCT
cana-5492	416	26	σ	σ	PROPN
cana-5492	416	27	,	,	PUNCT
cana-5492	416	28	ϱ	ϱ	NOUN
cana-5492	416	29	)	)	PUNCT
cana-5492	416	30	is	be	AUX
cana-5492	416	31	nscontrazc	nscontrazc	ADJ
cana-5492	416	32	iff	iff	PROPN
cana-5492	416	33	for	for	ADP
cana-5492	416	34	each	each	DET
cana-5492	416	35	nss	nss	NOUN
cana-5492	416	36	(	(	PUNCT
cana-5492	416	37	s	s	PROPN
cana-5492	416	38	,	,	PUNCT
cana-5492	416	39	ϱ	ϱ	NOUN
cana-5492	416	40	)	)	PUNCT
cana-5492	416	41	of	of	ADP
cana-5492	416	42	(	(	PUNCT
cana-5492	416	43	𝕋	𝕋	PROPN
cana-5492	416	44	,	,	PUNCT
cana-5492	416	45	σ	σ	PROPN
cana-5492	416	46	,	,	PUNCT
cana-5492	416	47	ϱ	ϱ	NOUN
cana-5492	416	48	)	)	PUNCT
cana-5492	416	49	and	and	CCONJ
cana-5492	416	50	for	for	ADP
cana-5492	416	51	each	each	DET
cana-5492	416	52	nscs	nscs	NOUN
cana-5492	416	53	(	(	PUNCT
cana-5492	416	54	b	b	X
cana-5492	416	55	,	,	PUNCT
cana-5492	416	56	ϱ	ϱ	NOUN
cana-5492	416	57	)	)	PUNCT
cana-5492	416	58	of	of	ADP
cana-5492	416	59	(	(	PUNCT
cana-5492	416	60	𝕎	𝕎	PROPN
cana-5492	416	61	,	,	PUNCT
cana-5492	416	62	τ	τ	PROPN
cana-5492	416	63	,	,	PUNCT
cana-5492	416	64	ϱ	ϱ	NOUN
cana-5492	416	65	)	)	PUNCT
cana-5492	416	66	containing	contain	VERB
cana-5492	416	67	𝒢	𝒢	PROPN
cana-5492	416	68	−1(s	−1(	NOUN
cana-5492	416	69	,	,	PUNCT
cana-5492	416	70	ϱ	ϱ	NOUN
cana-5492	416	71	)	)	PUNCT
cana-5492	416	72	there	there	PRON
cana-5492	416	73	is	be	VERB
cana-5492	416	74	a	a	DET
cana-5492	416	75	nszcs	nszcs	NOUN
cana-5492	416	76	(	(	PUNCT
cana-5492	416	77	k	k	NOUN
cana-5492	416	78	,	,	PUNCT
cana-5492	416	79	ϱ	ϱ	NOUN
cana-5492	416	80	)	)	PUNCT
cana-5492	416	81	of	of	ADP
cana-5492	416	82	(	(	PUNCT
cana-5492	416	83	𝕋	𝕋	PROPN
cana-5492	416	84	,	,	PUNCT
cana-5492	416	85	σ	σ	PROPN
cana-5492	416	86	,	,	PUNCT
cana-5492	416	87	ϱ	ϱ	NOUN
cana-5492	416	88	)	)	PUNCT
cana-5492	416	89	such	such	ADJ
cana-5492	416	90	that	that	SCONJ
cana-5492	416	91	(	(	PUNCT
cana-5492	416	92	s	s	X
cana-5492	416	93	,	,	PUNCT
cana-5492	416	94	ϱ	ϱ	NOUN
cana-5492	416	95	)	)	PUNCT
cana-5492	416	96	⊆	⊆	NUM
cana-5492	416	97	(	(	PUNCT
cana-5492	416	98	k	k	NOUN
cana-5492	416	99	,	,	PUNCT
cana-5492	416	100	ϱ	ϱ	NOUN
cana-5492	416	101	)	)	PUNCT
cana-5492	416	102	and	and	CCONJ
cana-5492	416	103	𝒢	𝒢	PROPN
cana-5492	416	104	−1	−1	NOUN
cana-5492	416	105	(	(	PUNCT
cana-5492	416	106	k	k	NOUN
cana-5492	416	107	,	,	PUNCT
cana-5492	416	108	ϱ	ϱ	NOUN
cana-5492	416	109	)	)	PUNCT
cana-5492	416	110	⊆	⊆	NUM
cana-5492	416	111	(	(	PUNCT
cana-5492	416	112	b	b	NOUN
cana-5492	416	113	,	,	PUNCT
cana-5492	416	114	ϱ	ϱ	NOUN
cana-5492	416	115	)	)	PUNCT
cana-5492	416	116	.	.	PUNCT
cana-5492	417	1	proof	proof	NOUN
cana-5492	417	2	.	.	PUNCT
cana-5492	418	1	necessity	necessity	NOUN
cana-5492	418	2	:	:	PUNCT
cana-5492	418	3	assume	assume	VERB
cana-5492	418	4	𝒢	𝒢	NOUN
cana-5492	418	5	be	be	AUX
cana-5492	418	6	a	a	DET
cana-5492	418	7	nscontrazc	nscontrazc	ADJ
cana-5492	418	8	mapping	mapping	NOUN
cana-5492	418	9	.	.	PUNCT
cana-5492	419	1	let	let	VERB
cana-5492	419	2	a	a	DET
cana-5492	419	3	nsos	nsos	X
cana-5492	419	4	(	(	PUNCT
cana-5492	419	5	s	s	PROPN
cana-5492	419	6	,	,	PUNCT
cana-5492	419	7	ϱ	ϱ	NOUN
cana-5492	419	8	)	)	PUNCT
cana-5492	419	9	in	in	ADP
cana-5492	419	10	(	(	PUNCT
cana-5492	419	11	𝕋	𝕋	PROPN
cana-5492	419	12	,	,	PUNCT
cana-5492	419	13	σ	σ	PROPN
cana-5492	419	14	,	,	PUNCT
cana-5492	419	15	ϱ	ϱ	NOUN
cana-5492	419	16	)	)	PUNCT
cana-5492	419	17	and	and	CCONJ
cana-5492	419	18	a	a	DET
cana-5492	419	19	nscs	nscs	NOUN
cana-5492	419	20	(	(	PUNCT
cana-5492	419	21	b	b	NOUN
cana-5492	419	22	,	,	PUNCT
cana-5492	419	23	ϱ	ϱ	NOUN
cana-5492	419	24	)	)	PUNCT
cana-5492	419	25	in	in	ADP
cana-5492	419	26	(	(	PUNCT
cana-5492	419	27	𝕎	𝕎	PROPN
cana-5492	419	28	,	,	PUNCT
cana-5492	419	29	τ	τ	PROPN
cana-5492	419	30	,	,	PUNCT
cana-5492	419	31	ϱ	ϱ	NOUN
cana-5492	419	32	)	)	PUNCT
cana-5492	419	33	such	such	ADJ
cana-5492	419	34	that	that	SCONJ
cana-5492	419	35	𝒢	𝒢	PROPN
cana-5492	419	36	−1(s	−1(	NOUN
cana-5492	419	37	,	,	PUNCT
cana-5492	419	38	ϱ	ϱ	NOUN
cana-5492	419	39	)	)	PUNCT
cana-5492	419	40	⊆	⊆	NUM
cana-5492	419	41	(	(	PUNCT
cana-5492	419	42	b	b	NOUN
cana-5492	419	43	,	,	PUNCT
cana-5492	419	44	ϱ	ϱ	NOUN
cana-5492	419	45	)	)	PUNCT
cana-5492	419	46	.	.	PUNCT
cana-5492	420	1	then	then	ADV
cana-5492	420	2	(	(	PUNCT
cana-5492	420	3	k	k	X
cana-5492	420	4	,	,	PUNCT
cana-5492	420	5	ϱ	ϱ	NOUN
cana-5492	420	6	)	)	PUNCT
cana-5492	420	7	=	=	SYM
cana-5492	420	8	𝕋	𝕋	PROPN
cana-5492	420	9	–	–	PUNCT
cana-5492	420	10	𝒢	𝒢	NOUN
cana-5492	420	11	(	(	PUNCT
cana-5492	420	12	(	(	PUNCT
cana-5492	420	13	𝐵	𝐵	NOUN
cana-5492	420	14	,	,	PUNCT
cana-5492	420	15	𝜚	𝜚	NOUN
cana-5492	420	16	)	)	PUNCT
cana-5492	420	17	𝑐)𝑐	𝑐)𝑐	NOUN
cana-5492	420	18	is	be	AUX
cana-5492	420	19	nszcs	nszcs	NOUN
cana-5492	420	20	of	of	ADP
cana-5492	420	21	(	(	PUNCT
cana-5492	420	22	𝕋	𝕋	PROPN
cana-5492	420	23	,	,	PUNCT
cana-5492	420	24	σ	σ	PROPN
cana-5492	420	25	,	,	PUNCT
cana-5492	420	26	ϱ	ϱ	NOUN
cana-5492	420	27	)	)	PUNCT
cana-5492	420	28	such	such	ADJ
cana-5492	420	29	that	that	SCONJ
cana-5492	420	30	𝒢	𝒢	PROPN
cana-5492	420	31	−1(k	−1(k	NOUN
cana-5492	420	32	,	,	PUNCT
cana-5492	420	33	ϱ	ϱ	NOUN
cana-5492	420	34	)	)	PUNCT
cana-5492	420	35	⊆	⊆	NUM
cana-5492	420	36	(	(	PUNCT
cana-5492	420	37	b	b	NOUN
cana-5492	420	38	,	,	PUNCT
cana-5492	420	39	ϱ	ϱ	NOUN
cana-5492	420	40	)	)	PUNCT
cana-5492	420	41	.	.	PUNCT
cana-5492	421	1	suffciency	suffciency	NOUN
cana-5492	421	2	:	:	PUNCT
cana-5492	421	3	assume	assume	VERB
cana-5492	421	4	(	(	PUNCT
cana-5492	421	5	b	b	NOUN
cana-5492	421	6	,	,	PUNCT
cana-5492	421	7	ϱ	ϱ	NOUN
cana-5492	421	8	)	)	PUNCT
cana-5492	421	9	is	be	AUX
cana-5492	421	10	a	a	DET
cana-5492	421	11	nscs	nscs	NOUN
cana-5492	421	12	of	of	ADP
cana-5492	421	13	(	(	PUNCT
cana-5492	421	14	𝕎	𝕎	PROPN
cana-5492	421	15	,	,	PUNCT
cana-5492	421	16	τ	τ	PROPN
cana-5492	421	17	,	,	PUNCT
cana-5492	421	18	ϱ	ϱ	NOUN
cana-5492	421	19	)	)	PUNCT
cana-5492	421	20	.	.	PUNCT
cana-5492	422	1	then	then	ADV
cana-5492	422	2	,	,	PUNCT
cana-5492	422	3	(	(	PUNCT
cana-5492	422	4	(	(	PUNCT
cana-5492	422	5	𝒢(𝐵	𝒢(𝐵	NOUN
cana-5492	422	6	,	,	PUNCT
cana-5492	422	7	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	422	8	is	be	AUX
cana-5492	422	9	a	a	DET
cana-5492	422	10	nss	nss	NOUN
cana-5492	422	11	of	of	ADP
cana-5492	422	12	(	(	PUNCT
cana-5492	422	13	𝕋	𝕋	PROPN
cana-5492	422	14	,	,	PUNCT
cana-5492	422	15	σ	σ	PROPN
cana-5492	422	16	,	,	PUNCT
cana-5492	422	17	ϱ	ϱ	NOUN
cana-5492	422	18	)	)	PUNCT
cana-5492	422	19	and	and	CCONJ
cana-5492	422	20	(	(	PUNCT
cana-5492	422	21	𝐵	𝐵	NOUN
cana-5492	422	22	,	,	PUNCT
cana-5492	422	23	𝜚	𝜚	NOUN
cana-5492	422	24	)	)	PUNCT
cana-5492	422	25	𝑐	𝑐	NOUN
cana-5492	422	26	is	be	AUX
cana-5492	422	27	nsos	nsos	ADJ
cana-5492	422	28	in	in	ADP
cana-5492	422	29	(	(	PUNCT
cana-5492	422	30	𝕎	𝕎	PROPN
cana-5492	422	31	,	,	PUNCT
cana-5492	422	32	τ	τ	PROPN
cana-5492	422	33	,	,	PUNCT
cana-5492	422	34	ϱ	ϱ	NOUN
cana-5492	422	35	)	)	PUNCT
cana-5492	422	36	such	such	ADJ
cana-5492	422	37	that	that	SCONJ
cana-5492	422	38	𝒢	𝒢	PROPN
cana-5492	422	39	−1((𝒢(𝐵	−1((𝒢(𝐵	PROPN
cana-5492	422	40	,	,	PUNCT
cana-5492	422	41	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	422	42	⊆	⊆	NUM
cana-5492	422	43	(	(	PUNCT
cana-5492	422	44	𝐵	𝐵	NOUN
cana-5492	422	45	,	,	PUNCT
cana-5492	422	46	𝜚	𝜚	NOUN
cana-5492	422	47	)	)	PUNCT
cana-5492	422	48	𝑐.	𝑐.	NOUN
cana-5492	422	49	by	by	ADP
cana-5492	422	50	presumption	presumption	NOUN
cana-5492	422	51	,	,	PUNCT
cana-5492	422	52	there	there	PRON
cana-5492	422	53	is	be	VERB
cana-5492	422	54	a	a	DET
cana-5492	422	55	nszcs	nszcs	NOUN
cana-5492	422	56	(	(	PUNCT
cana-5492	422	57	k	k	NOUN
cana-5492	422	58	,	,	PUNCT
cana-5492	422	59	ϱ	ϱ	NOUN
cana-5492	422	60	)	)	PUNCT
cana-5492	422	61	of	of	ADP
cana-5492	422	62	(	(	PUNCT
cana-5492	422	63	𝕋	𝕋	PROPN
cana-5492	422	64	,	,	PUNCT
cana-5492	422	65	σ	σ	PROPN
cana-5492	422	66	,	,	PUNCT
cana-5492	422	67	ϱ	ϱ	NOUN
cana-5492	422	68	)	)	PUNCT
cana-5492	422	69	such	such	ADJ
cana-5492	422	70	that	that	SCONJ
cana-5492	422	71	(	(	PUNCT
cana-5492	422	72	𝒢(𝐵	𝒢(𝐵	NOUN
cana-5492	422	73	,	,	PUNCT
cana-5492	422	74	𝜚))𝑐	𝜚))𝑐	NOUN
cana-5492	422	75	⊆	⊆	NUM
cana-5492	422	76	(	(	PUNCT
cana-5492	422	77	k	k	NOUN
cana-5492	422	78	,	,	PUNCT
cana-5492	422	79	ϱ	ϱ	NOUN
cana-5492	422	80	)	)	PUNCT
cana-5492	422	81	and	and	CCONJ
cana-5492	422	82	𝒢	𝒢	PROPN
cana-5492	422	83	−1	−1	NOUN
cana-5492	422	84	(	(	PUNCT
cana-5492	422	85	k	k	NOUN
cana-5492	422	86	,	,	PUNCT
cana-5492	422	87	ϱ	ϱ	NOUN
cana-5492	422	88	)	)	PUNCT
cana-5492	422	89	⊆	⊆	NUM
cana-5492	422	90	(	(	PUNCT
cana-5492	422	91	𝐵	𝐵	NOUN
cana-5492	422	92	,	,	PUNCT
cana-5492	422	93	𝜚	𝜚	NOUN
cana-5492	422	94	)	)	PUNCT
cana-5492	422	95	𝑐.	𝑐.	VERB
cana-5492	423	1	therefore	therefore	ADV
cana-5492	423	2	,	,	PUNCT
cana-5492	423	3	nscontra𝛿c	nscontra𝛿c	ADJ
cana-5492	423	4	nnnnnsns	nnnnnsns	NOUN
cana-5492	423	5	c𝛿os	c𝛿os	PROPN
cana-5492	423	6	nscontrac	nscontrac	PROPN
cana-5492	423	7	ns	ns	ADJ
cana-5492	423	8	type	type	NOUN
cana-5492	423	9	equation	equation	NOUN
cana-5492	423	10	here	here	ADV
cana-5492	423	11	.	.	PUNCT
cana-5492	424	1	os	os	PROPN
cana-5492	424	2	nscontrapc	nscontrapc	PROPN
cana-5492	424	3	nscontra𝛿sc	nscontra𝛿sc	PROPN
cana-5492	424	4	nscontrazc	nscontrazc	ADJ
cana-5492	424	5	ns	ns	ADJ
cana-5492	424	6	type	type	NOUN
cana-5492	424	7	equation	equation	NOUN
cana-5492	424	8	here	here	ADV
cana-5492	424	9	.	.	PUNCT
cana-5492	425	1	os	os	VERB
cana-5492	425	2	nscontraec	nscontraec	ADJ
cana-5492	425	3	ns	ns	ADJ
cana-5492	425	4	type	type	NOUN
cana-5492	425	5	equation	equation	NOUN
cana-5492	425	6	here	here	ADV
cana-5492	425	7	.	.	PUNCT
cana-5492	426	1	os	os	NOUN
cana-5492	426	2	communications	communication	NOUN
cana-5492	426	3	on	on	ADP
cana-5492	426	4	applied	apply	VERB
cana-5492	426	5	nonlinear	nonlinear	ADJ
cana-5492	426	6	analysis	analysis	NOUN
cana-5492	426	7	issn	issn	NOUN
cana-5492	426	8	:	:	PUNCT
cana-5492	426	9	1074	1074	NUM
cana-5492	426	10	-	-	PUNCT
cana-5492	426	11	133x	133x	NUM
cana-5492	426	12	vol	vol	VERB
cana-5492	426	13	32	32	NUM
cana-5492	426	14	no	no	NOUN
cana-5492	426	15	.	.	PUNCT
cana-5492	427	1	10s	10	NOUN
cana-5492	427	2	(	(	PUNCT
cana-5492	427	3	2025	2025	NUM
cana-5492	427	4	)	)	PUNCT
cana-5492	427	5	2460	2460	NUM
cana-5492	427	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	427	7	(	(	PUNCT
cana-5492	427	8	b	b	NOUN
cana-5492	427	9	,	,	PUNCT
cana-5492	427	10	ϱ	ϱ	NOUN
cana-5492	427	11	)	)	PUNCT
cana-5492	427	12	⊆	⊆	NUM
cana-5492	427	13	(	(	PUNCT
cana-5492	427	14	𝒢−1(𝐾	𝒢−1(𝐾	NOUN
cana-5492	427	15	,	,	PUNCT
cana-5492	427	16	𝜚))𝑐.	𝜚))𝑐.	NUM
cana-5492	427	17	hence	hence	ADV
cana-5492	427	18	(	(	PUNCT
cana-5492	427	19	𝐾	𝐾	PROPN
cana-5492	427	20	,	,	PUNCT
cana-5492	427	21	𝜚	𝜚	NOUN
cana-5492	427	22	)	)	PUNCT
cana-5492	427	23	𝑐	𝑐	NOUN
cana-5492	427	24	⊆	⊆	NUM
cana-5492	427	25	𝒢(𝐵	𝒢(𝐵	NOUN
cana-5492	427	26	,	,	PUNCT
cana-5492	427	27	ϱ	ϱ	NOUN
cana-5492	427	28	)	)	PUNCT
cana-5492	427	29	⊆	⊆	PROPN
cana-5492	427	30	𝒢	𝒢	PROPN
cana-5492	427	31	(	(	PUNCT
cana-5492	427	32	(	(	PUNCT
cana-5492	427	33	𝒢	𝒢	PROPN
cana-5492	427	34	−1(k	−1(k	NOUN
cana-5492	427	35	,	,	PUNCT
cana-5492	427	36	ϱ	ϱ	NOUN
cana-5492	427	37	)	)	PUNCT
cana-5492	427	38	)	)	PUNCT
cana-5492	427	39	𝑐	𝑐	X
cana-5492	427	40	)	)	PUNCT
cana-5492	427	41	which	which	PRON
cana-5492	427	42	implies	imply	VERB
cana-5492	427	43	𝒢(b	𝒢(b	PROPN
cana-5492	427	44	,	,	PUNCT
cana-5492	427	45	ϱ	ϱ	NOUN
cana-5492	427	46	)	)	PUNCT
cana-5492	427	47	=	=	SYM
cana-5492	427	48	(	(	PUNCT
cana-5492	427	49	𝐾	𝐾	PROPN
cana-5492	427	50	,	,	PUNCT
cana-5492	427	51	𝜚	𝜚	NOUN
cana-5492	427	52	)	)	PUNCT
cana-5492	427	53	𝑐.	𝑐.	NOUN
cana-5492	427	54	as	as	ADP
cana-5492	427	55	(	(	PUNCT
cana-5492	427	56	𝐾	𝐾	PROPN
cana-5492	427	57	,	,	PUNCT
cana-5492	427	58	𝜚	𝜚	NOUN
cana-5492	427	59	)	)	PUNCT
cana-5492	427	60	𝑐	𝑐	NOUN
cana-5492	427	61	is	be	AUX
cana-5492	427	62	nszos	nszos	PRON
cana-5492	427	63	of	of	ADP
cana-5492	427	64	(	(	PUNCT
cana-5492	427	65	𝕋	𝕋	PROPN
cana-5492	427	66	,	,	PUNCT
cana-5492	427	67	σ	σ	PROPN
cana-5492	427	68	,	,	PUNCT
cana-5492	427	69	ϱ	ϱ	NOUN
cana-5492	427	70	)	)	PUNCT
cana-5492	427	71	,	,	PUNCT
cana-5492	427	72	𝒢	𝒢	PROPN
cana-5492	427	73	(	(	PUNCT
cana-5492	427	74	b	b	PROPN
cana-5492	427	75	,	,	PUNCT
cana-5492	427	76	ϱ	ϱ	NOUN
cana-5492	427	77	)	)	PUNCT
cana-5492	427	78	is	be	AUX
cana-5492	427	79	nszos	nszos	ADV
cana-5492	427	80	in	in	ADP
cana-5492	427	81	(	(	PUNCT
cana-5492	427	82	𝕋	𝕋	PROPN
cana-5492	427	83	,	,	PUNCT
cana-5492	427	84	σ	σ	PROPN
cana-5492	427	85	,	,	PUNCT
cana-5492	427	86	ϱ	ϱ	NOUN
cana-5492	427	87	)	)	PUNCT
cana-5492	427	88	and	and	CCONJ
cana-5492	427	89	hence	hence	ADV
cana-5492	427	90	𝒢	𝒢	PROPN
cana-5492	427	91	is	be	AUX
cana-5492	427	92	nscontrazc	nscontrazc	ADJ
cana-5492	427	93	mapping	mapping	NOUN
cana-5492	427	94	.	.	PUNCT
cana-5492	428	1	theorem	theorem	VERB
cana-5492	428	2	6.3	6.3	NUM
cana-5492	428	3	if	if	SCONJ
cana-5492	428	4	𝒢	𝒢	NOUN
cana-5492	428	5	:	:	PUNCT
cana-5492	428	6	(	(	PUNCT
cana-5492	428	7	𝕎	𝕎	PROPN
cana-5492	428	8	,	,	PUNCT
cana-5492	428	9	τ	τ	PROPN
cana-5492	428	10	,	,	PUNCT
cana-5492	428	11	ϱ	ϱ	PROPN
cana-5492	428	12	)	)	PUNCT
cana-5492	428	13	→	→	SYM
cana-5492	428	14	(	(	PUNCT
cana-5492	428	15	𝕋	𝕋	PROPN
cana-5492	428	16	,	,	PUNCT
cana-5492	428	17	σ	σ	PROPN
cana-5492	428	18	,	,	PUNCT
cana-5492	428	19	ϱ	ϱ	NOUN
cana-5492	428	20	)	)	PUNCT
cana-5492	428	21	is	be	AUX
cana-5492	428	22	nsc	nsc	PROPN
cana-5492	428	23	and	and	CCONJ
cana-5492	428	24	ℋ	ℋ	PROPN
cana-5492	428	25	:	:	PUNCT
cana-5492	428	26	(	(	PUNCT
cana-5492	428	27	𝕋	𝕋	PROPN
cana-5492	428	28	,	,	PUNCT
cana-5492	428	29	σ	σ	PROPN
cana-5492	428	30	,	,	PUNCT
cana-5492	428	31	ϱ	ϱ	NOUN
cana-5492	428	32	)	)	PUNCT
cana-5492	428	33	→	→	SYM
cana-5492	428	34	(	(	PUNCT
cana-5492	428	35	𝕌	𝕌	PROPN
cana-5492	428	36	,	,	PUNCT
cana-5492	428	37	ρ	ρ	PROPN
cana-5492	428	38	,	,	PUNCT
cana-5492	428	39	ϱ	ϱ	NOUN
cana-5492	428	40	)	)	PUNCT
cana-5492	428	41	is	be	AUX
cana-5492	428	42	nscontrazc	nscontrazc	ADJ
cana-5492	428	43	.	.	PUNCT
cana-5492	429	1	then	then	ADV
cana-5492	429	2	ℋ	ℋ	PROPN
cana-5492	429	3	∘	∘	PROPN
cana-5492	429	4	𝒢	𝒢	NOUN
cana-5492	429	5	:	:	PUNCT
cana-5492	429	6	(	(	PUNCT
cana-5492	429	7	𝕎	𝕎	PROPN
cana-5492	429	8	,	,	PUNCT
cana-5492	429	9	τ	τ	PROPN
cana-5492	429	10	,	,	PUNCT
cana-5492	429	11	ϱ	ϱ	PROPN
cana-5492	429	12	)	)	PUNCT
cana-5492	429	13	→	→	SYM
cana-5492	429	14	(	(	PUNCT
cana-5492	429	15	𝕌	𝕌	PROPN
cana-5492	429	16	,	,	PUNCT
cana-5492	429	17	ρ	ρ	PROPN
cana-5492	429	18	,	,	PUNCT
cana-5492	429	19	ϱ	ϱ	NOUN
cana-5492	429	20	)	)	PUNCT
cana-5492	429	21	is	be	AUX
cana-5492	429	22	nscontrazc	nscontrazc	ADJ
cana-5492	429	23	.	.	PUNCT
cana-5492	430	1	proof	proof	NOUN
cana-5492	430	2	.	.	PUNCT
cana-5492	431	1	let	let	VERB
cana-5492	431	2	(	(	PUNCT
cana-5492	431	3	s	s	X
cana-5492	431	4	,	,	PUNCT
cana-5492	431	5	ϱ	ϱ	NOUN
cana-5492	431	6	)	)	PUNCT
cana-5492	431	7	be	be	VERB
cana-5492	431	8	a	a	DET
cana-5492	431	9	nscs	nscs	NOUN
cana-5492	431	10	in	in	ADP
cana-5492	431	11	(	(	PUNCT
cana-5492	431	12	𝕎	𝕎	PROPN
cana-5492	431	13	,	,	PUNCT
cana-5492	431	14	τ	τ	PROPN
cana-5492	431	15	,	,	PUNCT
cana-5492	431	16	ϱ	ϱ	NOUN
cana-5492	431	17	)	)	PUNCT
cana-5492	431	18	.	.	PUNCT
cana-5492	432	1	as	as	SCONJ
cana-5492	432	2	𝒢	𝒢	PROPN
cana-5492	432	3	is	be	AUX
cana-5492	432	4	nsc	nsc	PROPN
cana-5492	432	5	mapping	mapping	NOUN
cana-5492	432	6	,	,	PUNCT
cana-5492	432	7	𝒢	𝒢	PROPN
cana-5492	432	8	(	(	PUNCT
cana-5492	432	9	s	s	PROPN
cana-5492	432	10	,	,	PUNCT
cana-5492	432	11	ϱ	ϱ	NOUN
cana-5492	432	12	)	)	PUNCT
cana-5492	432	13	is	be	AUX
cana-5492	432	14	nscs	nsc	VERB
cana-5492	432	15	in	in	ADP
cana-5492	432	16	(	(	PUNCT
cana-5492	432	17	𝕋	𝕋	PROPN
cana-5492	432	18	,	,	PUNCT
cana-5492	432	19	σ	σ	PROPN
cana-5492	432	20	,	,	PUNCT
cana-5492	432	21	ϱ	ϱ	NOUN
cana-5492	432	22	)	)	PUNCT
cana-5492	432	23	.	.	PUNCT
cana-5492	433	1	as	as	SCONJ
cana-5492	433	2	ℋ	ℋ	PROPN
cana-5492	433	3	is	be	AUX
cana-5492	433	4	nscontrazc	nscontrazc	ADJ
cana-5492	433	5	mapping	mapping	NOUN
cana-5492	433	6	(	(	PUNCT
cana-5492	433	7	ℋ	ℋ	PROPN
cana-5492	433	8	∘	∘	NOUN
cana-5492	433	9	𝒢	𝒢	NOUN
cana-5492	433	10	)	)	PUNCT
cana-5492	433	11	(	(	PUNCT
cana-5492	433	12	s	s	X
cana-5492	433	13	,	,	PUNCT
cana-5492	433	14	ϱ	ϱ	NOUN
cana-5492	433	15	)	)	PUNCT
cana-5492	433	16	=	=	PUNCT
cana-5492	433	17	ℋ(𝒢	ℋ(𝒢	NUM
cana-5492	433	18	s	s	SYM
cana-5492	433	19	,	,	PUNCT
cana-5492	433	20	ϱ	ϱ	NOUN
cana-5492	433	21	)	)	PUNCT
cana-5492	433	22	)	)	PUNCT
cana-5492	433	23	is	be	AUX
cana-5492	433	24	nszos	nszos	ADV
cana-5492	433	25	in	in	ADP
cana-5492	433	26	(	(	PUNCT
cana-5492	433	27	𝕌	𝕌	PROPN
cana-5492	433	28	,	,	PUNCT
cana-5492	433	29	ρ	ρ	PROPN
cana-5492	433	30	,	,	PUNCT
cana-5492	433	31	ϱ	ϱ	NOUN
cana-5492	433	32	)	)	PUNCT
cana-5492	433	33	.	.	PUNCT
cana-5492	434	1	hence	hence	ADV
cana-5492	434	2	ℋ	ℋ	NOUN
cana-5492	434	3	∘	∘	NOUN
cana-5492	434	4	𝒢	𝒢	PROPN
cana-5492	434	5	is	be	AUX
cana-5492	434	6	nscontrazc	nscontrazc	ADJ
cana-5492	434	7	mapping	mapping	NOUN
cana-5492	434	8	.	.	PUNCT
cana-5492	435	1	theorem	theorem	VERB
cana-5492	435	2	6.4	6.4	NUM
cana-5492	435	3	if	if	SCONJ
cana-5492	435	4	𝒢	𝒢	ADJ
cana-5492	435	5	:	:	PUNCT
cana-5492	435	6	(	(	PUNCT
cana-5492	435	7	𝕎	𝕎	PROPN
cana-5492	435	8	,	,	PUNCT
cana-5492	435	9	τ	τ	PROPN
cana-5492	435	10	,	,	PUNCT
cana-5492	435	11	ϱ	ϱ	PROPN
cana-5492	435	12	)	)	PUNCT
cana-5492	435	13	→	→	SYM
cana-5492	435	14	(	(	PUNCT
cana-5492	435	15	𝕋	𝕋	PROPN
cana-5492	435	16	,	,	PUNCT
cana-5492	435	17	σ	σ	PROPN
cana-5492	435	18	,	,	PUNCT
cana-5492	435	19	ϱ	ϱ	NOUN
cana-5492	435	20	)	)	PUNCT
cana-5492	435	21	is	be	AUX
cana-5492	435	22	nscontrazcmap	nscontrazcmap	ADJ
cana-5492	435	23	,	,	PUNCT
cana-5492	435	24	then	then	ADV
cana-5492	435	25	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	435	26	(	(	PUNCT
cana-5492	435	27	s	s	X
cana-5492	435	28	,	,	PUNCT
cana-5492	435	29	ϱ	ϱ	NOUN
cana-5492	435	30	)	)	PUNCT
cana-5492	435	31	)	)	PUNCT
cana-5492	436	1	⊇	⊇	PROPN
cana-5492	436	2	𝒢	𝒢	PROPN
cana-5492	436	3	(	(	PUNCT
cana-5492	436	4	nsint(s	nsint(s	PROPN
cana-5492	436	5	,	,	PUNCT
cana-5492	436	6	ϱ	ϱ	NOUN
cana-5492	436	7	)	)	PUNCT
cana-5492	436	8	)	)	PUNCT
cana-5492	436	9	.	.	PUNCT
cana-5492	437	1	proof	proof	NOUN
cana-5492	437	2	.	.	PUNCT
cana-5492	438	1	the	the	DET
cana-5492	438	2	proof	proof	NOUN
cana-5492	438	3	is	be	AUX
cana-5492	438	4	obvious	obvious	ADJ
cana-5492	438	5	from	from	ADP
cana-5492	438	6	defnition	defnition	NOUN
cana-5492	438	7	6.1	6.1	NUM
cana-5492	438	8	and	and	CCONJ
cana-5492	438	9	defnition	defnition	NOUN
cana-5492	438	10	neutrosophic	neutrosophic	ADJ
cana-5492	438	11	soft	soft	ADJ
cana-5492	438	12	z	z	NOUN
cana-5492	438	13	-	-	NOUN
cana-5492	438	14	interior	interior	ADJ
cana-5492	438	15	.	.	PUNCT
cana-5492	439	1	theorem	theorem	VERB
cana-5492	439	2	6.5	6.5	NUM
cana-5492	439	3	let	let	VERB
cana-5492	439	4	𝒢	𝒢	NOUN
cana-5492	439	5	:	:	PUNCT
cana-5492	439	6	(	(	PUNCT
cana-5492	439	7	𝕎	𝕎	PROPN
cana-5492	439	8	,	,	PUNCT
cana-5492	439	9	τ	τ	PROPN
cana-5492	439	10	,	,	PUNCT
cana-5492	439	11	ϱ	ϱ	PROPN
cana-5492	439	12	)	)	PUNCT
cana-5492	439	13	→	→	SYM
cana-5492	439	14	(	(	PUNCT
cana-5492	439	15	𝕋	𝕋	PROPN
cana-5492	439	16	,	,	PUNCT
cana-5492	439	17	σ	σ	PROPN
cana-5492	439	18	,	,	PUNCT
cana-5492	439	19	ϱ	ϱ	NOUN
cana-5492	439	20	)	)	PUNCT
cana-5492	439	21	and	and	CCONJ
cana-5492	439	22	ℋ	ℋ	PROPN
cana-5492	439	23	:	:	PUNCT
cana-5492	439	24	(	(	PUNCT
cana-5492	439	25	𝕋	𝕋	PROPN
cana-5492	439	26	,	,	PUNCT
cana-5492	439	27	σ	σ	PROPN
cana-5492	439	28	,	,	PUNCT
cana-5492	439	29	ϱ	ϱ	NOUN
cana-5492	439	30	)	)	PUNCT
cana-5492	439	31	→	→	SYM
cana-5492	439	32	(	(	PUNCT
cana-5492	439	33	𝕌	𝕌	PROPN
cana-5492	439	34	,	,	PUNCT
cana-5492	439	35	ρ	ρ	PROPN
cana-5492	439	36	,	,	PUNCT
cana-5492	439	37	ϱ	ϱ	NOUN
cana-5492	439	38	)	)	PUNCT
cana-5492	439	39	be	be	AUX
cana-5492	439	40	nscontrazc	nscontrazc	ADJ
cana-5492	439	41	mappings	mapping	NOUN
cana-5492	439	42	.	.	PUNCT
cana-5492	440	1	if	if	SCONJ
cana-5492	440	2	every	every	DET
cana-5492	440	3	nszos	nszos	PROPN
cana-5492	440	4	of	of	ADP
cana-5492	440	5	(	(	PUNCT
cana-5492	440	6	𝕋	𝕋	PROPN
cana-5492	440	7	,	,	PUNCT
cana-5492	440	8	σ	σ	PROPN
cana-5492	440	9	,	,	PUNCT
cana-5492	440	10	ϱ	ϱ	NOUN
cana-5492	440	11	)	)	PUNCT
cana-5492	440	12	is	be	AUX
cana-5492	440	13	nsos	nsos	ADJ
cana-5492	440	14	,	,	PUNCT
cana-5492	440	15	then	then	ADV
cana-5492	440	16	ℋ	ℋ	PROPN
cana-5492	440	17	∘	∘	PROPN
cana-5492	440	18	𝒢	𝒢	NOUN
cana-5492	440	19	:	:	PUNCT
cana-5492	440	20	(	(	PUNCT
cana-5492	440	21	𝕎	𝕎	PROPN
cana-5492	440	22	,	,	PUNCT
cana-5492	440	23	τ	τ	PROPN
cana-5492	440	24	,	,	PUNCT
cana-5492	440	25	ϱ	ϱ	PROPN
cana-5492	440	26	)	)	PUNCT
cana-5492	440	27	→	→	SYM
cana-5492	440	28	(	(	PUNCT
cana-5492	440	29	𝕌	𝕌	PROPN
cana-5492	440	30	,	,	PUNCT
cana-5492	440	31	ρ	ρ	PROPN
cana-5492	440	32	,	,	PUNCT
cana-5492	440	33	ϱ	ϱ	NOUN
cana-5492	440	34	)	)	PUNCT
cana-5492	440	35	is	be	AUX
cana-5492	440	36	nszc	nszc	ADJ
cana-5492	440	37	.	.	PUNCT
cana-5492	441	1	proof	proof	NOUN
cana-5492	441	2	.	.	PUNCT
cana-5492	442	1	let	let	VERB
cana-5492	442	2	(	(	PUNCT
cana-5492	442	3	s	s	X
cana-5492	442	4	,	,	PUNCT
cana-5492	442	5	ϱ	ϱ	NOUN
cana-5492	442	6	)	)	PUNCT
cana-5492	442	7	be	be	VERB
cana-5492	442	8	a	a	DET
cana-5492	442	9	nscs	nscs	NOUN
cana-5492	442	10	in	in	ADP
cana-5492	442	11	(	(	PUNCT
cana-5492	442	12	𝕎	𝕎	PROPN
cana-5492	442	13	,	,	PUNCT
cana-5492	442	14	τ	τ	PROPN
cana-5492	442	15	,	,	PUNCT
cana-5492	442	16	ϱ	ϱ	NOUN
cana-5492	442	17	)	)	PUNCT
cana-5492	442	18	.	.	PUNCT
cana-5492	443	1	as	as	SCONJ
cana-5492	443	2	,	,	PUNCT
cana-5492	443	3	𝒢	𝒢	PROPN
cana-5492	443	4	is	be	AUX
cana-5492	443	5	nscontrazc	nscontrazc	ADJ
cana-5492	443	6	mapping	mapping	NOUN
cana-5492	443	7	,	,	PUNCT
cana-5492	443	8	𝒢(s	𝒢(s	NOUN
cana-5492	443	9	,	,	PUNCT
cana-5492	443	10	ϱ	ϱ	NOUN
cana-5492	443	11	)	)	PUNCT
cana-5492	443	12	is	be	AUX
cana-5492	443	13	nszos	nszos	ADV
cana-5492	443	14	in	in	ADP
cana-5492	443	15	(	(	PUNCT
cana-5492	443	16	𝕋	𝕋	PROPN
cana-5492	443	17	,	,	PUNCT
cana-5492	443	18	σ	σ	PROPN
cana-5492	443	19	,	,	PUNCT
cana-5492	443	20	ϱ	ϱ	NOUN
cana-5492	443	21	)	)	PUNCT
cana-5492	443	22	.	.	PUNCT
cana-5492	444	1	by	by	ADP
cana-5492	444	2	presumption	presumption	NOUN
cana-5492	444	3	,	,	PUNCT
cana-5492	444	4	𝒢(s	𝒢(s	NOUN
cana-5492	444	5	,	,	PUNCT
cana-5492	444	6	ϱ	ϱ	NOUN
cana-5492	444	7	)	)	PUNCT
cana-5492	444	8	is	be	AUX
cana-5492	444	9	nsos	nsos	NOUN
cana-5492	444	10	of	of	ADP
cana-5492	444	11	(	(	PUNCT
cana-5492	444	12	𝕋	𝕋	PROPN
cana-5492	444	13	,	,	PUNCT
cana-5492	444	14	σ	σ	PROPN
cana-5492	444	15	,	,	PUNCT
cana-5492	444	16	ϱ	ϱ	NOUN
cana-5492	444	17	)	)	PUNCT
cana-5492	444	18	.	.	PUNCT
cana-5492	445	1	as	as	SCONJ
cana-5492	445	2	ℋ	ℋ	PROPN
cana-5492	445	3	is	be	AUX
cana-5492	445	4	nscontrazc	nscontrazc	ADJ
cana-5492	445	5	mapping	mapping	NOUN
cana-5492	445	6	,	,	PUNCT
cana-5492	445	7	ℋ	ℋ	PROPN
cana-5492	445	8	(	(	PUNCT
cana-5492	445	9	𝒢	𝒢	PROPN
cana-5492	445	10	(	(	PUNCT
cana-5492	445	11	s	s	PROPN
cana-5492	445	12	,	,	PUNCT
cana-5492	445	13	ϱ	ϱ	NOUN
cana-5492	445	14	)	)	PUNCT
cana-5492	445	15	)	)	PUNCT
cana-5492	446	1	=	=	SYM
cana-5492	446	2	(	(	PUNCT
cana-5492	446	3	ℋ	ℋ	NOUN
cana-5492	446	4	∘	∘	NOUN
cana-5492	446	5	𝒢	𝒢	NOUN
cana-5492	446	6	)	)	PUNCT
cana-5492	446	7	(	(	PUNCT
cana-5492	446	8	s	s	X
cana-5492	446	9	,	,	PUNCT
cana-5492	446	10	ϱ	ϱ	NOUN
cana-5492	446	11	)	)	PUNCT
cana-5492	446	12	is	be	AUX
cana-5492	446	13	nszcs	nszcs	NOUN
cana-5492	446	14	in	in	ADP
cana-5492	446	15	(	(	PUNCT
cana-5492	446	16	𝕌	𝕌	PROPN
cana-5492	446	17	,	,	PUNCT
cana-5492	446	18	ρ	ρ	PROPN
cana-5492	446	19	,	,	PUNCT
cana-5492	446	20	ϱ	ϱ	NOUN
cana-5492	446	21	)	)	PUNCT
cana-5492	446	22	.	.	PUNCT
cana-5492	447	1	hence	hence	ADV
cana-5492	447	2	ℋ	ℋ	NOUN
cana-5492	447	3	∘	∘	NOUN
cana-5492	447	4	𝒢	𝒢	PROPN
cana-5492	447	5	is	be	AUX
cana-5492	447	6	nszc	nszc	NOUN
cana-5492	447	7	mapping	mapping	NOUN
cana-5492	447	8	.	.	PUNCT
cana-5492	448	1	theorem	theorem	VERB
cana-5492	448	2	6.6	6.6	NUM
cana-5492	448	3	let	let	VERB
cana-5492	448	4	𝒢	𝒢	NOUN
cana-5492	448	5	:	:	PUNCT
cana-5492	448	6	(	(	PUNCT
cana-5492	448	7	𝕎	𝕎	PROPN
cana-5492	448	8	,	,	PUNCT
cana-5492	448	9	τ	τ	PROPN
cana-5492	448	10	,	,	PUNCT
cana-5492	448	11	ϱ	ϱ	PROPN
cana-5492	448	12	)	)	PUNCT
cana-5492	448	13	→	→	SYM
cana-5492	448	14	(	(	PUNCT
cana-5492	448	15	𝕋	𝕋	PROPN
cana-5492	448	16	,	,	PUNCT
cana-5492	448	17	σ	σ	PROPN
cana-5492	448	18	,	,	PUNCT
cana-5492	448	19	ϱ	ϱ	NOUN
cana-5492	448	20	)	)	PUNCT
cana-5492	448	21	be	be	VERB
cana-5492	448	22	a	a	DET
cana-5492	448	23	bijective	bijective	ADJ
cana-5492	448	24	mapping	mapping	NOUN
cana-5492	448	25	.	.	PUNCT
cana-5492	449	1	then	then	ADV
cana-5492	449	2	,	,	PUNCT
cana-5492	449	3	the	the	DET
cana-5492	449	4	following	follow	VERB
cana-5492	449	5	statements	statement	NOUN
cana-5492	449	6	are	be	AUX
cana-5492	449	7	equivalent	equivalent	ADJ
cana-5492	449	8	.	.	PUNCT
cana-5492	450	1	(	(	PUNCT
cana-5492	450	2	i	i	NOUN
cana-5492	450	3	)	)	PUNCT
cana-5492	451	1	𝒢	𝒢	NOUN
cana-5492	451	2	is	be	AUX
cana-5492	451	3	a	a	DET
cana-5492	451	4	nscontrazo	nscontrazo	ADJ
cana-5492	451	5	mapping	mapping	NOUN
cana-5492	451	6	.	.	PUNCT
cana-5492	452	1	(	(	PUNCT
cana-5492	452	2	ii	ii	NOUN
cana-5492	452	3	)	)	PUNCT
cana-5492	452	4	𝒢	𝒢	NOUN
cana-5492	452	5	is	be	AUX
cana-5492	452	6	a	a	DET
cana-5492	452	7	nscontrazc	nscontrazc	ADJ
cana-5492	452	8	mapping	mapping	NOUN
cana-5492	452	9	.	.	PUNCT
cana-5492	453	1	(	(	PUNCT
cana-5492	453	2	iii	iii	X
cana-5492	453	3	)	)	PUNCT
cana-5492	453	4	𝒢	𝒢	NOUN
cana-5492	453	5	−1	−1	NOUN
cana-5492	453	6	is	be	AUX
cana-5492	453	7	nszcts	nszct	VERB
cana-5492	453	8	mapping	mapping	NOUN
cana-5492	453	9	.	.	PUNCT
cana-5492	454	1	proof	proof	NOUN
cana-5492	454	2	.	.	PUNCT
cana-5492	455	1	(	(	PUNCT
cana-5492	455	2	i	i	NOUN
cana-5492	455	3	)	)	PUNCT
cana-5492	455	4	⟹	⟹	PROPN
cana-5492	455	5	(	(	PUNCT
cana-5492	455	6	ii	ii	NOUN
cana-5492	455	7	)	)	PUNCT
cana-5492	455	8	:	:	PUNCT
cana-5492	455	9	assume	assume	VERB
cana-5492	455	10	𝒢	𝒢	PROPN
cana-5492	455	11	is	be	AUX
cana-5492	455	12	a	a	DET
cana-5492	455	13	nscontrazo	nscontrazo	ADJ
cana-5492	455	14	mapping	mapping	NOUN
cana-5492	455	15	.	.	PUNCT
cana-5492	456	1	if	if	SCONJ
cana-5492	456	2	nsos	nsos	X
cana-5492	456	3	(	(	PUNCT
cana-5492	456	4	s	s	PROPN
cana-5492	456	5	,	,	PUNCT
cana-5492	456	6	ϱ	ϱ	NOUN
cana-5492	456	7	)	)	PUNCT
cana-5492	456	8	in	in	ADP
cana-5492	456	9	(	(	PUNCT
cana-5492	456	10	𝕎	𝕎	PROPN
cana-5492	456	11	,	,	PUNCT
cana-5492	456	12	τ	τ	PROPN
cana-5492	456	13	,	,	PUNCT
cana-5492	456	14	ϱ	ϱ	NOUN
cana-5492	456	15	)	)	PUNCT
cana-5492	456	16	,	,	PUNCT
cana-5492	456	17	by	by	ADP
cana-5492	456	18	presumption	presumption	NOUN
cana-5492	456	19	𝒢(s	𝒢(	NOUN
cana-5492	456	20	,	,	PUNCT
cana-5492	456	21	ϱ	ϱ	NOUN
cana-5492	456	22	)	)	PUNCT
cana-5492	456	23	is	be	AUX
cana-5492	456	24	a	a	DET
cana-5492	456	25	nszcs	nszcs	NOUN
cana-5492	456	26	in	in	ADP
cana-5492	456	27	(	(	PUNCT
cana-5492	456	28	𝕋	𝕋	PROPN
cana-5492	456	29	,	,	PUNCT
cana-5492	456	30	σ	σ	PROPN
cana-5492	456	31	,	,	PUNCT
cana-5492	456	32	ϱ	ϱ	NOUN
cana-5492	456	33	)	)	PUNCT
cana-5492	456	34	.	.	PUNCT
cana-5492	457	1	but	but	CCONJ
cana-5492	457	2	now	now	ADV
cana-5492	457	3	,	,	PUNCT
cana-5492	457	4	(	(	PUNCT
cana-5492	457	5	s	s	X
cana-5492	457	6	,	,	PUNCT
cana-5492	457	7	ϱ	ϱ	NOUN
cana-5492	457	8	)	)	PUNCT
cana-5492	457	9	is	be	AUX
cana-5492	457	10	nscs	nsc	VERB
cana-5492	457	11	in	in	ADP
cana-5492	457	12	(	(	PUNCT
cana-5492	457	13	𝕎	𝕎	PROPN
cana-5492	457	14	,	,	PUNCT
cana-5492	457	15	τ	τ	PROPN
cana-5492	457	16	,	,	PUNCT
cana-5492	457	17	ϱ	ϱ	NOUN
cana-5492	457	18	)	)	PUNCT
cana-5492	457	19	.	.	PUNCT
cana-5492	458	1	so	so	ADV
cana-5492	458	2	,	,	PUNCT
cana-5492	458	3	1(𝕎,𝜚	1(𝕎,𝜚	NUM
cana-5492	458	4	)	)	PUNCT
cana-5492	458	5	−	−	PROPN
cana-5492	458	6	(	(	PUNCT
cana-5492	458	7	s	s	X
cana-5492	458	8	,	,	PUNCT
cana-5492	458	9	ϱ	ϱ	NOUN
cana-5492	458	10	)	)	PUNCT
cana-5492	458	11	is	be	AUX
cana-5492	458	12	a	a	DET
cana-5492	458	13	nsos	nsos	NOUN
cana-5492	458	14	in	in	ADP
cana-5492	458	15	(	(	PUNCT
cana-5492	458	16	𝕎	𝕎	PROPN
cana-5492	458	17	,	,	PUNCT
cana-5492	458	18	τ	τ	PROPN
cana-5492	458	19	,	,	PUNCT
cana-5492	458	20	ϱ	ϱ	NOUN
cana-5492	458	21	)	)	PUNCT
cana-5492	458	22	.	.	PUNCT
cana-5492	459	1	by	by	ADP
cana-5492	459	2	assumption	assumption	NOUN
cana-5492	459	3	,	,	PUNCT
cana-5492	459	4	𝒢(1(𝕋,𝜚	𝒢(1(𝕋,𝜚	ADJ
cana-5492	459	5	)	)	PUNCT
cana-5492	459	6	−	−	PROPN
cana-5492	460	1	(	(	PUNCT
cana-5492	460	2	s	s	X
cana-5492	460	3	,	,	PUNCT
cana-5492	460	4	ϱ	ϱ	NOUN
cana-5492	460	5	)	)	PUNCT
cana-5492	460	6	)	)	PUNCT
cana-5492	460	7	is	be	AUX
cana-5492	460	8	a	a	DET
cana-5492	460	9	nszcs	nszcs	NOUN
cana-5492	460	10	in	in	ADP
cana-5492	460	11	(	(	PUNCT
cana-5492	460	12	𝕋	𝕋	PROPN
cana-5492	460	13	,	,	PUNCT
cana-5492	460	14	σ	σ	PROPN
cana-5492	460	15	,	,	PUNCT
cana-5492	460	16	ϱ	ϱ	NOUN
cana-5492	460	17	)	)	PUNCT
cana-5492	460	18	.	.	PUNCT
cana-5492	461	1	hence	hence	ADV
cana-5492	461	2	1(𝕎,𝜚	1(𝕎,𝜚	NUM
cana-5492	461	3	)	)	PUNCT
cana-5492	462	1	−	−	ADP
cana-5492	462	2	𝒢(1(𝕋,𝜚	𝒢(1(𝕋,𝜚	ADJ
cana-5492	462	3	)	)	PUNCT
cana-5492	462	4	)	)	PUNCT
cana-5492	463	1	−	−	PROPN
cana-5492	463	2	(	(	PUNCT
cana-5492	463	3	s	s	X
cana-5492	463	4	,	,	PUNCT
cana-5492	463	5	ϱ	ϱ	NOUN
cana-5492	463	6	)	)	PUNCT
cana-5492	463	7	is	be	AUX
cana-5492	463	8	a	a	DET
cana-5492	463	9	nszos	nszos	NOUN
cana-5492	463	10	in	in	ADP
cana-5492	463	11	(	(	PUNCT
cana-5492	463	12	𝕋	𝕋	PROPN
cana-5492	463	13	,	,	PUNCT
cana-5492	463	14	σ	σ	PROPN
cana-5492	463	15	,	,	PUNCT
cana-5492	463	16	ϱ	ϱ	NOUN
cana-5492	463	17	)	)	PUNCT
cana-5492	463	18	.	.	PUNCT
cana-5492	464	1	thus	thus	ADV
cana-5492	464	2	,	,	PUNCT
cana-5492	464	3	𝒢	𝒢	PROPN
cana-5492	464	4	is	be	AUX
cana-5492	464	5	a	a	DET
cana-5492	464	6	nscontrazc	nscontrazc	ADJ
cana-5492	464	7	mapping	mapping	NOUN
cana-5492	464	8	.	.	PUNCT
cana-5492	465	1	(	(	PUNCT
cana-5492	465	2	ii	ii	PROPN
cana-5492	465	3	)	)	PUNCT
cana-5492	465	4	⟹	⟹	PROPN
cana-5492	466	1	(	(	PUNCT
cana-5492	466	2	iii	iii	NOUN
cana-5492	466	3	)	)	PUNCT
cana-5492	466	4	:	:	PUNCT
cana-5492	466	5	consider	consider	VERB
cana-5492	466	6	a	a	DET
cana-5492	466	7	nscs	nscs	NOUN
cana-5492	466	8	in	in	ADP
cana-5492	466	9	(	(	PUNCT
cana-5492	466	10	𝕎	𝕎	PROPN
cana-5492	466	11	,	,	PUNCT
cana-5492	466	12	τ	τ	PROPN
cana-5492	466	13	,	,	PUNCT
cana-5492	466	14	ϱ	ϱ	NOUN
cana-5492	466	15	)	)	PUNCT
cana-5492	466	16	.	.	PUNCT
cana-5492	467	1	by	by	ADP
cana-5492	467	2	assumption	assumption	NOUN
cana-5492	467	3	,	,	PUNCT
cana-5492	467	4	𝒢(s	𝒢(s	NOUN
cana-5492	467	5	,	,	PUNCT
cana-5492	467	6	ϱ	ϱ	NOUN
cana-5492	467	7	)	)	PUNCT
cana-5492	467	8	is	be	AUX
cana-5492	467	9	a	a	DET
cana-5492	467	10	nszos	nszos	NOUN
cana-5492	467	11	in	in	ADP
cana-5492	467	12	(	(	PUNCT
cana-5492	467	13	𝕋	𝕋	PROPN
cana-5492	467	14	,	,	PUNCT
cana-5492	467	15	σ	σ	PROPN
cana-5492	467	16	,	,	PUNCT
cana-5492	467	17	ϱ	ϱ	NOUN
cana-5492	467	18	)	)	PUNCT
cana-5492	467	19	.	.	PUNCT
cana-5492	468	1	hence	hence	ADV
cana-5492	468	2	,	,	PUNCT
cana-5492	468	3	𝒢(s	𝒢(s	NOUN
cana-5492	468	4	,	,	PUNCT
cana-5492	468	5	ϱ	ϱ	NOUN
cana-5492	468	6	)	)	PUNCT
cana-5492	468	7	=	=	SYM
cana-5492	469	1	(	(	PUNCT
cana-5492	469	2	𝒢	𝒢	NOUN
cana-5492	469	3	−1	−1	NOUN
cana-5492	469	4	)	)	PUNCT
cana-5492	469	5	−1	−1	NOUN
cana-5492	469	6	(	(	PUNCT
cana-5492	469	7	s	s	X
cana-5492	469	8	,	,	PUNCT
cana-5492	469	9	ϱ	ϱ	NOUN
cana-5492	469	10	)	)	PUNCT
cana-5492	469	11	.	.	PUNCT
cana-5492	470	1	so	so	ADV
cana-5492	470	2	,	,	PUNCT
cana-5492	470	3	𝒢	𝒢	ADJ
cana-5492	470	4	−1	−1	NOUN
cana-5492	470	5	is	be	AUX
cana-5492	470	6	a	a	DET
cana-5492	470	7	nszos	nszos	NOUN
cana-5492	470	8	in	in	ADP
cana-5492	470	9	(	(	PUNCT
cana-5492	470	10	𝕋	𝕋	PROPN
cana-5492	470	11	,	,	PUNCT
cana-5492	470	12	σ	σ	PROPN
cana-5492	470	13	,	,	PUNCT
cana-5492	470	14	ϱ	ϱ	NOUN
cana-5492	470	15	)	)	PUNCT
cana-5492	470	16	.	.	PUNCT
cana-5492	471	1	thus	thus	ADV
cana-5492	471	2	,	,	PUNCT
cana-5492	471	3	𝒢	𝒢	ADJ
cana-5492	471	4	−1	−1	NOUN
cana-5492	471	5	is	be	AUX
cana-5492	471	6	nszcts	nszct	NOUN
cana-5492	471	7	.	.	PUNCT
cana-5492	472	1	(	(	PUNCT
cana-5492	472	2	iii	iii	X
cana-5492	472	3	)	)	PUNCT
cana-5492	472	4	⟹	⟹	VERB
cana-5492	473	1	(	(	PUNCT
cana-5492	473	2	i	i	NOUN
cana-5492	473	3	)	)	PUNCT
cana-5492	473	4	:	:	PUNCT
cana-5492	473	5	consider	consider	VERB
cana-5492	473	6	a	a	DET
cana-5492	473	7	nsos	nsos	ADJ
cana-5492	473	8	(	(	PUNCT
cana-5492	473	9	s	s	PROPN
cana-5492	473	10	,	,	PUNCT
cana-5492	473	11	ϱ	ϱ	NOUN
cana-5492	473	12	)	)	PUNCT
cana-5492	473	13	in	in	ADP
cana-5492	473	14	(	(	PUNCT
cana-5492	473	15	𝕎	𝕎	PROPN
cana-5492	473	16	,	,	PUNCT
cana-5492	473	17	τ	τ	PROPN
cana-5492	473	18	,	,	PUNCT
cana-5492	473	19	ϱ	ϱ	NOUN
cana-5492	473	20	)	)	PUNCT
cana-5492	473	21	.	.	PUNCT
cana-5492	474	1	by	by	ADP
cana-5492	474	2	assumption	assumption	NOUN
cana-5492	474	3	,	,	PUNCT
cana-5492	474	4	(	(	PUNCT
cana-5492	474	5	𝒢	𝒢	NOUN
cana-5492	474	6	−1	−1	NOUN
cana-5492	474	7	)	)	PUNCT
cana-5492	474	8	−1	−1	NOUN
cana-5492	474	9	(	(	PUNCT
cana-5492	474	10	s	s	X
cana-5492	474	11	,	,	PUNCT
cana-5492	474	12	ϱ	ϱ	NOUN
cana-5492	474	13	)	)	PUNCT
cana-5492	474	14	=	=	SYM
cana-5492	474	15	𝒢	𝒢	PROPN
cana-5492	474	16	(	(	PUNCT
cana-5492	474	17	s	s	PROPN
cana-5492	474	18	,	,	PUNCT
cana-5492	474	19	ϱ	ϱ	NOUN
cana-5492	474	20	)	)	PUNCT
cana-5492	474	21	is	be	AUX
cana-5492	474	22	a	a	DET
cana-5492	474	23	nscontrazo	nscontrazo	ADJ
cana-5492	474	24	mapping	mapping	NOUN
cana-5492	474	25	.	.	PUNCT
cana-5492	475	1	7	7	NUM
cana-5492	475	2	neutrosophic	neutrosophic	ADJ
cana-5492	475	3	soft	soft	ADJ
cana-5492	475	4	contra	contra	PROPN
cana-5492	475	5	z	z	PROPN
cana-5492	475	6	-	-	PUNCT
cana-5492	475	7	homeomorphism	homeomorphism	PROPN
cana-5492	475	8	defnition7.1	defnition7.1	VERB
cana-5492	475	9	a	a	DET
cana-5492	475	10	bijection	bijection	NOUN
cana-5492	475	11	𝒢	𝒢	NOUN
cana-5492	475	12	:	:	PUNCT
cana-5492	475	13	(	(	PUNCT
cana-5492	475	14	𝕎	𝕎	PROPN
cana-5492	475	15	,	,	PUNCT
cana-5492	475	16	τ	τ	PROPN
cana-5492	475	17	,	,	PUNCT
cana-5492	475	18	ϱ	ϱ	PROPN
cana-5492	475	19	)	)	PUNCT
cana-5492	475	20	→	→	SYM
cana-5492	475	21	(	(	PUNCT
cana-5492	475	22	𝕋	𝕋	PROPN
cana-5492	475	23	,	,	PUNCT
cana-5492	475	24	σ	σ	PROPN
cana-5492	475	25	,	,	PUNCT
cana-5492	475	26	ϱ	ϱ	NOUN
cana-5492	475	27	)	)	PUNCT
cana-5492	475	28	is	be	AUX
cana-5492	475	29	called	call	VERB
cana-5492	475	30	a	a	DET
cana-5492	475	31	neutrosophic	neutrosophic	ADJ
cana-5492	475	32	soft	soft	ADJ
cana-5492	475	33	contra	contra	PROPN
cana-5492	475	34	zhomeomorphism	zhomeomorphism	NOUN
cana-5492	475	35	(	(	PUNCT
cana-5492	475	36	briefly	briefly	ADV
cana-5492	475	37	,	,	PUNCT
cana-5492	475	38	nscontrazhom	nscontrazhom	ADV
cana-5492	475	39	)	)	PUNCT
cana-5492	475	40	if	if	SCONJ
cana-5492	475	41	𝒢	𝒢	PROPN
cana-5492	475	42	and	and	CCONJ
cana-5492	475	43	𝒢	𝒢	PROPN
cana-5492	475	44	−1	−1	NOUN
cana-5492	475	45	are	be	AUX
cana-5492	475	46	nscontrazcts	nscontrazct	NOUN
cana-5492	475	47	mappings	mapping	NOUN
cana-5492	475	48	.	.	PUNCT
cana-5492	476	1	communications	communication	NOUN
cana-5492	476	2	on	on	ADP
cana-5492	476	3	applied	apply	VERB
cana-5492	476	4	nonlinear	nonlinear	ADJ
cana-5492	476	5	analysis	analysis	NOUN
cana-5492	476	6	issn	issn	NOUN
cana-5492	476	7	:	:	PUNCT
cana-5492	476	8	1074	1074	NUM
cana-5492	476	9	-	-	PUNCT
cana-5492	476	10	133x	133x	NUM
cana-5492	476	11	vol	vol	VERB
cana-5492	476	12	32	32	NUM
cana-5492	476	13	no	no	NOUN
cana-5492	476	14	.	.	PUNCT
cana-5492	477	1	10s	10	NOUN
cana-5492	477	2	(	(	PUNCT
cana-5492	477	3	2025	2025	NUM
cana-5492	477	4	)	)	PUNCT
cana-5492	477	5	2461	2461	NUM
cana-5492	477	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	477	7	theorem7.1	theorem7.1	ADJ
cana-5492	477	8	each	each	DET
cana-5492	477	9	nscontrahom	nscontrahom	VERB
cana-5492	477	10	is	be	AUX
cana-5492	477	11	a	a	DET
cana-5492	477	12	nscontrazhom	nscontrazhom	NOUN
cana-5492	477	13	.	.	PUNCT
cana-5492	478	1	but	but	CCONJ
cana-5492	478	2	the	the	DET
cana-5492	478	3	converse	converse	NOUN
cana-5492	478	4	not	not	PART
cana-5492	478	5	true	true	ADJ
cana-5492	478	6	.	.	PUNCT
cana-5492	479	1	proof	proof	NOUN
cana-5492	479	2	.	.	PUNCT
cana-5492	479	3	:	:	PUNCT
cana-5492	480	1	assume	assume	VERB
cana-5492	480	2	𝒢	𝒢	PROPN
cana-5492	480	3	is	be	AUX
cana-5492	480	4	nscontrahom	nscontrahom	VERB
cana-5492	480	5	.	.	PUNCT
cana-5492	481	1	then	then	ADV
cana-5492	481	2	𝒢	𝒢	PROPN
cana-5492	481	3	and	and	CCONJ
cana-5492	481	4	𝒢	𝒢	PROPN
cana-5492	481	5	−1	−1	NOUN
cana-5492	481	6	are	be	AUX
cana-5492	481	7	nscontracts	nscontract	NOUN
cana-5492	481	8	.	.	PUNCT
cana-5492	482	1	we	we	PRON
cana-5492	482	2	know	know	VERB
cana-5492	482	3	that	that	SCONJ
cana-5492	482	4	each	each	DET
cana-5492	482	5	nscontracts	nscontract	NOUN
cana-5492	482	6	function	function	VERB
cana-5492	482	7	is	be	AUX
cana-5492	482	8	nscontrazcts	nscontrazct	NOUN
cana-5492	482	9	.	.	PUNCT
cana-5492	483	1	so	so	ADV
cana-5492	483	2	,	,	PUNCT
cana-5492	483	3	𝒢	𝒢	PROPN
cana-5492	483	4	and	and	CCONJ
cana-5492	483	5	𝒢	𝒢	PROPN
cana-5492	483	6	−1	−1	NOUN
cana-5492	483	7	are	be	AUX
cana-5492	483	8	nscontrazcts	nscontrazct	NOUN
cana-5492	483	9	.	.	PUNCT
cana-5492	484	1	thus	thus	ADV
cana-5492	484	2	,	,	PUNCT
cana-5492	484	3	𝒢	𝒢	PROPN
cana-5492	484	4	is	be	AUX
cana-5492	484	5	a	a	DET
cana-5492	484	6	nscontrazhom	nscontrazhom	NOUN
cana-5492	484	7	.	.	PUNCT
cana-5492	485	1	example7.1	example7.1	PROPN
cana-5492	485	2	let	let	VERB
cana-5492	485	3	𝕎	𝕎	PROPN
cana-5492	485	4	=	=	PRON
cana-5492	485	5	{	{	PUNCT
cana-5492	485	6	𝑤1	𝑤1	PROPN
cana-5492	485	7	,	,	PUNCT
cana-5492	485	8	𝑤2	𝑤2	NOUN
cana-5492	485	9	,	,	PUNCT
cana-5492	485	10	𝑤3	𝑤3	NOUN
cana-5492	485	11	}	}	PUNCT
cana-5492	485	12	=	=	SYM
cana-5492	485	13	{	{	PUNCT
cana-5492	485	14	𝑡1	𝑡1	NOUN
cana-5492	485	15	,	,	PUNCT
cana-5492	485	16	𝑡2	𝑡2	PROPN
cana-5492	485	17	,	,	PUNCT
cana-5492	485	18	𝑡3	𝑡3	PROPN
cana-5492	485	19	}	}	PUNCT
cana-5492	485	20	=	=	SYM
cana-5492	485	21	𝕋	𝕋	PROPN
cana-5492	485	22	,	,	PUNCT
cana-5492	485	23	ϱ	ϱ	NOUN
cana-5492	485	24	=	=	SYM
cana-5492	485	25	{	{	PUNCT
cana-5492	485	26	𝑒1	𝑒1	NOUN
cana-5492	485	27	,	,	PUNCT
cana-5492	485	28	𝑒2	𝑒2	NOUN
cana-5492	485	29	}	}	PUNCT
cana-5492	485	30	and	and	CCONJ
cana-5492	485	31	ns	ns	NUM
cana-5492	485	32	sets	set	NOUN
cana-5492	485	33	(	(	PUNCT
cana-5492	485	34	𝑆1	𝑆1	NOUN
cana-5492	485	35	,	,	PUNCT
cana-5492	485	36	ϱ	ϱ	NOUN
cana-5492	485	37	)	)	PUNCT
cana-5492	485	38	,	,	PUNCT
cana-5492	485	39	(	(	PUNCT
cana-5492	485	40	𝑆2	𝑆2	PROPN
cana-5492	485	41	,	,	PUNCT
cana-5492	485	42	ϱ	ϱ	NOUN
cana-5492	485	43	)	)	PUNCT
cana-5492	485	44	(	(	PUNCT
cana-5492	485	45	𝑆3	𝑆3	PROPN
cana-5492	485	46	,	,	PUNCT
cana-5492	485	47	ϱ	ϱ	NOUN
cana-5492	485	48	)	)	PUNCT
cana-5492	485	49	and	and	CCONJ
cana-5492	485	50	(	(	PUNCT
cana-5492	485	51	𝑆4	𝑆4	PROPN
cana-5492	485	52	,	,	PUNCT
cana-5492	485	53	ϱ	ϱ	NOUN
cana-5492	485	54	)	)	PUNCT
cana-5492	485	55	in	in	ADP
cana-5492	485	56	𝕎	𝕎	PROPN
cana-5492	485	57	and	and	CCONJ
cana-5492	485	58	(	(	PUNCT
cana-5492	485	59	𝑉1,ϱ	𝑉1,ϱ	PROPN
cana-5492	485	60	)	)	PUNCT
cana-5492	485	61	in	in	ADP
cana-5492	485	62	𝕋	𝕋	PRON
cana-5492	485	63	are	be	AUX
cana-5492	485	64	defined	define	VERB
cana-5492	485	65	as	as	ADP
cana-5492	485	66	(	(	PUNCT
cana-5492	485	67	𝑆1	𝑆1	NOUN
cana-5492	485	68	,	,	PUNCT
cana-5492	485	69	𝑒1	𝑒1	NOUN
cana-5492	485	70	)	)	PUNCT
cana-5492	485	71	=	=	SYM
cana-5492	485	72	〈	〈	PROPN
cana-5492	485	73	(	(	PUNCT
cana-5492	485	74	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	485	75	,	,	PUNCT
cana-5492	485	76	0.4	0.4	NUM
cana-5492	485	77	,	,	PUNCT
cana-5492	485	78	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	485	79	0.5	0.5	NUM
cana-5492	485	80	,	,	PUNCT
cana-5492	485	81	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	485	82	0.6	0.6	NUM
cana-5492	485	83	)	)	PUNCT
cana-5492	485	84	,	,	PUNCT
cana-5492	485	85	(	(	PUNCT
cana-5492	485	86	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	485	87	0.5	0.5	NUM
cana-5492	485	88	,	,	PUNCT
cana-5492	485	89	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	485	90	0.4	0.4	NUM
cana-5492	485	91	,	,	PUNCT
cana-5492	485	92	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	485	93	0.8	0.8	NUM
cana-5492	485	94	)	)	PUNCT
cana-5492	485	95	,	,	PUNCT
cana-5492	485	96	(	(	PUNCT
cana-5492	485	97	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	485	98	0.4	0.4	NUM
cana-5492	485	99	,	,	PUNCT
cana-5492	485	100	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	485	101	0.5	0.5	NUM
cana-5492	485	102	,	,	PUNCT
cana-5492	485	103	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	485	104	0.7	0.7	NUM
cana-5492	485	105	)	)	PUNCT
cana-5492	485	106	〉	〉	NOUN
cana-5492	485	107	(	(	PUNCT
cana-5492	485	108	𝑆1	𝑆1	NOUN
cana-5492	485	109	,	,	PUNCT
cana-5492	485	110	𝑒2	𝑒2	NOUN
cana-5492	485	111	)	)	PUNCT
cana-5492	485	112	=	=	PUNCT
cana-5492	485	113	〈	〈	PROPN
cana-5492	485	114	(	(	PUNCT
cana-5492	485	115	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	485	116	,	,	PUNCT
cana-5492	485	117	0.2	0.2	NUM
cana-5492	485	118	,	,	PUNCT
cana-5492	485	119	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	485	120	0.4	0.4	NUM
cana-5492	485	121	,	,	PUNCT
cana-5492	485	122	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	485	123	0.6	0.6	NUM
cana-5492	485	124	)	)	PUNCT
cana-5492	485	125	,	,	PUNCT
cana-5492	485	126	(	(	PUNCT
cana-5492	485	127	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	485	128	0.2	0.2	NUM
cana-5492	485	129	,	,	PUNCT
cana-5492	485	130	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	485	131	0.5	0.5	NUM
cana-5492	485	132	,	,	PUNCT
cana-5492	485	133	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	485	134	0.7	0.7	NUM
cana-5492	485	135	)	)	PUNCT
cana-5492	485	136	,	,	PUNCT
cana-5492	485	137	(	(	PUNCT
cana-5492	485	138	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	485	139	0.2	0.2	NUM
cana-5492	485	140	,	,	PUNCT
cana-5492	485	141	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	485	142	0.5	0.5	NUM
cana-5492	485	143	,	,	PUNCT
cana-5492	485	144	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	485	145	0.8	0.8	NUM
cana-5492	485	146	)	)	PUNCT
cana-5492	485	147	〉	〉	NOUN
cana-5492	485	148	(	(	PUNCT
cana-5492	485	149	𝑆2	𝑆2	PROPN
cana-5492	485	150	,	,	PUNCT
cana-5492	485	151	𝑒1	𝑒1	NOUN
cana-5492	485	152	)	)	PUNCT
cana-5492	485	153	=	=	PUNCT
cana-5492	485	154	〈	〈	PROPN
cana-5492	485	155	(	(	PUNCT
cana-5492	485	156	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	485	157	,	,	PUNCT
cana-5492	485	158	0.5	0.5	NUM
cana-5492	485	159	,	,	PUNCT
cana-5492	485	160	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	485	161	0.5	0.5	NUM
cana-5492	485	162	,	,	PUNCT
cana-5492	485	163	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	485	164	0.6	0.6	NUM
cana-5492	485	165	)	)	PUNCT
cana-5492	485	166	,	,	PUNCT
cana-5492	485	167	(	(	PUNCT
cana-5492	485	168	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	485	169	0.5	0.5	NUM
cana-5492	485	170	,	,	PUNCT
cana-5492	485	171	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	485	172	0.5	0.5	NUM
cana-5492	485	173	,	,	PUNCT
cana-5492	485	174	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	485	175	0.5	0.5	NUM
cana-5492	485	176	)	)	PUNCT
cana-5492	485	177	,	,	PUNCT
cana-5492	485	178	(	(	PUNCT
cana-5492	485	179	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	485	180	0.6	0.6	NUM
cana-5492	485	181	,	,	PUNCT
cana-5492	485	182	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	485	183	0.5	0.5	NUM
cana-5492	485	184	,	,	PUNCT
cana-5492	485	185	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	485	186	0.6	0.6	NUM
cana-5492	485	187	)	)	PUNCT
cana-5492	485	188	〉	〉	NOUN
cana-5492	485	189	(	(	PUNCT
cana-5492	485	190	𝑆2	𝑆2	PROPN
cana-5492	485	191	,	,	PUNCT
cana-5492	485	192	𝑒2	𝑒2	PROPN
cana-5492	485	193	)	)	PUNCT
cana-5492	485	194	=	=	PUNCT
cana-5492	485	195	〈	〈	PROPN
cana-5492	485	196	(	(	PUNCT
cana-5492	485	197	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	485	198	,	,	PUNCT
cana-5492	485	199	0.4	0.4	NUM
cana-5492	485	200	,	,	PUNCT
cana-5492	485	201	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	485	202	0.6	0.6	NUM
cana-5492	485	203	,	,	PUNCT
cana-5492	485	204	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	485	205	0.6	0.6	NUM
cana-5492	485	206	)	)	PUNCT
cana-5492	485	207	,	,	PUNCT
cana-5492	485	208	(	(	PUNCT
cana-5492	485	209	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	485	210	0.3	0.3	NUM
cana-5492	485	211	,	,	PUNCT
cana-5492	485	212	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	485	213	0.5	0.5	NUM
cana-5492	485	214	,	,	PUNCT
cana-5492	485	215	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	485	216	0.7	0.7	NUM
cana-5492	485	217	)	)	PUNCT
cana-5492	485	218	,	,	PUNCT
cana-5492	485	219	(	(	PUNCT
cana-5492	485	220	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	485	221	0.3	0.3	NUM
cana-5492	485	222	,	,	PUNCT
cana-5492	485	223	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	485	224	0.7	0.7	NUM
cana-5492	485	225	,	,	PUNCT
cana-5492	485	226	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	485	227	0.4	0.4	NUM
cana-5492	485	228	)	)	PUNCT
cana-5492	485	229	〉	〉	NOUN
cana-5492	485	230	(	(	PUNCT
cana-5492	485	231	𝑆3	𝑆3	PROPN
cana-5492	485	232	,	,	PUNCT
cana-5492	485	233	𝑒1	𝑒1	NOUN
cana-5492	485	234	)	)	PUNCT
cana-5492	485	235	=	=	PUNCT
cana-5492	486	1	〈	〈	PROPN
cana-5492	486	2	(	(	PUNCT
cana-5492	486	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	486	4	,	,	PUNCT
cana-5492	486	5	0.3	0.3	NUM
cana-5492	486	6	,	,	PUNCT
cana-5492	486	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	486	8	0.4	0.4	NUM
cana-5492	486	9	,	,	PUNCT
cana-5492	486	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	486	11	0.7	0.7	NUM
cana-5492	486	12	)	)	PUNCT
cana-5492	486	13	,	,	PUNCT
cana-5492	486	14	(	(	PUNCT
cana-5492	486	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	486	16	0.1	0.1	NUM
cana-5492	486	17	,	,	PUNCT
cana-5492	486	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	486	19	0.3	0.3	NUM
cana-5492	486	20	,	,	PUNCT
cana-5492	486	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	486	22	0.8	0.8	NUM
cana-5492	486	23	)	)	PUNCT
cana-5492	486	24	,	,	PUNCT
cana-5492	486	25	(	(	PUNCT
cana-5492	486	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	486	27	0.2	0.2	NUM
cana-5492	486	28	,	,	PUNCT
cana-5492	486	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	486	30	0.3	0.3	NUM
cana-5492	486	31	,	,	PUNCT
cana-5492	486	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	486	33	0.8	0.8	NUM
cana-5492	486	34	)	)	PUNCT
cana-5492	486	35	〉	〉	NOUN
cana-5492	486	36	(	(	PUNCT
cana-5492	486	37	𝑆3	𝑆3	PROPN
cana-5492	486	38	,	,	PUNCT
cana-5492	486	39	𝑒2	𝑒2	PROPN
cana-5492	486	40	)	)	PUNCT
cana-5492	486	41	=	=	PUNCT
cana-5492	487	1	〈	〈	PROPN
cana-5492	487	2	(	(	PUNCT
cana-5492	487	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	487	4	,	,	PUNCT
cana-5492	487	5	0.1	0.1	NUM
cana-5492	487	6	,	,	PUNCT
cana-5492	487	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	487	8	0.3	0.3	NUM
cana-5492	487	9	,	,	PUNCT
cana-5492	487	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	487	11	0.7	0.7	NUM
cana-5492	487	12	)	)	PUNCT
cana-5492	487	13	,	,	PUNCT
cana-5492	487	14	(	(	PUNCT
cana-5492	487	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	487	16	0.1	0.1	NUM
cana-5492	487	17	,	,	PUNCT
cana-5492	487	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	487	19	0.5	0.5	NUM
cana-5492	487	20	,	,	PUNCT
cana-5492	487	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	487	22	0.8	0.8	NUM
cana-5492	487	23	)	)	PUNCT
cana-5492	487	24	,	,	PUNCT
cana-5492	487	25	(	(	PUNCT
cana-5492	487	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	487	27	0.1	0.1	NUM
cana-5492	487	28	,	,	PUNCT
cana-5492	487	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	487	30	0.5	0.5	NUM
cana-5492	487	31	,	,	PUNCT
cana-5492	487	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	487	33	0.9	0.9	NUM
cana-5492	487	34	)	)	PUNCT
cana-5492	487	35	〉	〉	NOUN
cana-5492	487	36	(	(	PUNCT
cana-5492	487	37	𝑆4	𝑆4	PROPN
cana-5492	487	38	,	,	PUNCT
cana-5492	487	39	𝑒1	𝑒1	NOUN
cana-5492	487	40	)	)	PUNCT
cana-5492	487	41	=	=	SYM
cana-5492	487	42	〈	〈	PROPN
cana-5492	487	43	(	(	PUNCT
cana-5492	487	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	487	45	,	,	PUNCT
cana-5492	487	46	0.5	0.5	NUM
cana-5492	487	47	,	,	PUNCT
cana-5492	487	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	487	49	0.5	0.5	NUM
cana-5492	487	50	,	,	PUNCT
cana-5492	487	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	487	52	0.5	0.5	NUM
cana-5492	487	53	)	)	PUNCT
cana-5492	487	54	,	,	PUNCT
cana-5492	487	55	(	(	PUNCT
cana-5492	487	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	487	57	0.6	0.6	NUM
cana-5492	487	58	,	,	PUNCT
cana-5492	487	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	487	60	0.5	0.5	NUM
cana-5492	487	61	,	,	PUNCT
cana-5492	487	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	487	63	0.6	0.6	NUM
cana-5492	487	64	)	)	PUNCT
cana-5492	487	65	,	,	PUNCT
cana-5492	487	66	(	(	PUNCT
cana-5492	487	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	487	68	0.4	0.4	NUM
cana-5492	487	69	,	,	PUNCT
cana-5492	487	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	487	71	0.5	0.5	NUM
cana-5492	487	72	,	,	PUNCT
cana-5492	487	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	487	74	0.5	0.5	NUM
cana-5492	487	75	)	)	PUNCT
cana-5492	487	76	〉	〉	NOUN
cana-5492	487	77	(	(	PUNCT
cana-5492	487	78	𝑆4	𝑆4	PROPN
cana-5492	487	79	,	,	PUNCT
cana-5492	487	80	𝑒2	𝑒2	PROPN
cana-5492	487	81	)	)	PUNCT
cana-5492	487	82	=	=	PUNCT
cana-5492	488	1	〈	〈	PROPN
cana-5492	488	2	(	(	PUNCT
cana-5492	488	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	488	4	,	,	PUNCT
cana-5492	488	5	0.2	0.2	NUM
cana-5492	488	6	,	,	PUNCT
cana-5492	488	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	488	8	0.5	0.5	NUM
cana-5492	488	9	,	,	PUNCT
cana-5492	488	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	488	11	0.3	0.3	NUM
cana-5492	488	12	)	)	PUNCT
cana-5492	488	13	,	,	PUNCT
cana-5492	488	14	(	(	PUNCT
cana-5492	488	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	488	16	0.6	0.6	NUM
cana-5492	488	17	,	,	PUNCT
cana-5492	488	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	488	19	0.5	0.5	NUM
cana-5492	488	20	,	,	PUNCT
cana-5492	488	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	488	22	0.4	0.4	NUM
cana-5492	488	23	)	)	PUNCT
cana-5492	488	24	,	,	PUNCT
cana-5492	488	25	(	(	PUNCT
cana-5492	488	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	488	27	0.4	0.4	NUM
cana-5492	488	28	,	,	PUNCT
cana-5492	488	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	488	30	0.5	0.5	NUM
cana-5492	488	31	,	,	PUNCT
cana-5492	488	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	488	33	0.3	0.3	NUM
cana-5492	488	34	)	)	PUNCT
cana-5492	488	35	〉	〉	NOUN
cana-5492	488	36	(	(	PUNCT
cana-5492	488	37	𝑉1	𝑉1	NOUN
cana-5492	488	38	,	,	PUNCT
cana-5492	488	39	𝑒1	𝑒1	NOUN
cana-5492	488	40	)	)	PUNCT
cana-5492	488	41	=	=	SYM
cana-5492	489	1	〈	〈	PROPN
cana-5492	489	2	(	(	PUNCT
cana-5492	489	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	489	4	,	,	PUNCT
cana-5492	489	5	0.5	0.5	NUM
cana-5492	489	6	,	,	PUNCT
cana-5492	489	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	489	8	0.5	0.5	NUM
cana-5492	489	9	,	,	PUNCT
cana-5492	489	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	489	11	0.5	0.5	NUM
cana-5492	489	12	)	)	PUNCT
cana-5492	489	13	,	,	PUNCT
cana-5492	489	14	(	(	PUNCT
cana-5492	489	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	489	16	0.6	0.6	NUM
cana-5492	489	17	,	,	PUNCT
cana-5492	489	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	489	19	0.5	0.5	NUM
cana-5492	489	20	,	,	PUNCT
cana-5492	489	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	489	22	0.6	0.6	NUM
cana-5492	489	23	)	)	PUNCT
cana-5492	489	24	,	,	PUNCT
cana-5492	489	25	(	(	PUNCT
cana-5492	489	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	489	27	0.4	0.4	NUM
cana-5492	489	28	,	,	PUNCT
cana-5492	489	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	489	30	0.5	0.5	NUM
cana-5492	489	31	,	,	PUNCT
cana-5492	489	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	489	33	0.5	0.5	NUM
cana-5492	489	34	)	)	PUNCT
cana-5492	489	35	〉	〉	NOUN
cana-5492	489	36	(	(	PUNCT
cana-5492	489	37	𝑉2	𝑉2	PROPN
cana-5492	489	38	,	,	PUNCT
cana-5492	489	39	𝑒2	𝑒2	PROPN
cana-5492	489	40	)	)	PUNCT
cana-5492	489	41	=	=	PUNCT
cana-5492	490	1	〈	〈	PROPN
cana-5492	490	2	(	(	PUNCT
cana-5492	490	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	490	4	,	,	PUNCT
cana-5492	490	5	0.2	0.2	NUM
cana-5492	490	6	,	,	PUNCT
cana-5492	490	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	490	8	0.5	0.5	NUM
cana-5492	490	9	,	,	PUNCT
cana-5492	490	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	490	11	0.3	0.3	NUM
cana-5492	490	12	)	)	PUNCT
cana-5492	490	13	,	,	PUNCT
cana-5492	490	14	(	(	PUNCT
cana-5492	490	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	490	16	0.6	0.6	NUM
cana-5492	490	17	,	,	PUNCT
cana-5492	490	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	490	19	0.5	0.5	NUM
cana-5492	490	20	,	,	PUNCT
cana-5492	490	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	490	22	0.4	0.4	NUM
cana-5492	490	23	)	)	PUNCT
cana-5492	490	24	,	,	PUNCT
cana-5492	490	25	(	(	PUNCT
cana-5492	490	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	490	27	0.4	0.4	NUM
cana-5492	490	28	,	,	PUNCT
cana-5492	490	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	490	30	0.5	0.5	NUM
cana-5492	490	31	,	,	PUNCT
cana-5492	490	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	490	33	0.3	0.3	NUM
cana-5492	490	34	)	)	PUNCT
cana-5492	490	35	〉	〉	NOUN
cana-5492	490	36	here	here	ADV
cana-5492	490	37	,	,	PUNCT
cana-5492	490	38	we	we	PRON
cana-5492	490	39	have	have	VERB
cana-5492	490	40	τ	τ	X
cana-5492	490	41	=	=	SYM
cana-5492	490	42	{	{	PUNCT
cana-5492	490	43	0(𝕎	0(𝕎	INTJ
cana-5492	490	44	,	,	PUNCT
cana-5492	490	45	𝜚	𝜚	NOUN
cana-5492	490	46	)	)	PUNCT
cana-5492	490	47	,	,	PUNCT
cana-5492	490	48	1(𝕎	1(𝕎	INTJ
cana-5492	490	49	,	,	PUNCT
cana-5492	490	50	𝜚	𝜚	NOUN
cana-5492	490	51	)	)	PUNCT
cana-5492	490	52	,	,	PUNCT
cana-5492	490	53	(	(	PUNCT
cana-5492	490	54	𝑆1	𝑆1	PROPN
cana-5492	490	55	,	,	PUNCT
cana-5492	490	56	ϱ	ϱ	NOUN
cana-5492	490	57	)	)	PUNCT
cana-5492	490	58	,	,	PUNCT
cana-5492	490	59	(	(	PUNCT
cana-5492	490	60	𝑆2	𝑆2	PROPN
cana-5492	490	61	,	,	PUNCT
cana-5492	490	62	ϱ	ϱ	NOUN
cana-5492	490	63	)	)	PUNCT
cana-5492	490	64	,	,	PUNCT
cana-5492	490	65	(	(	PUNCT
cana-5492	490	66	𝑆3	𝑆3	PROPN
cana-5492	490	67	,	,	PUNCT
cana-5492	490	68	ϱ	ϱ	NOUN
cana-5492	490	69	)	)	PUNCT
cana-5492	490	70	}	}	PUNCT
cana-5492	490	71	and	and	CCONJ
cana-5492	490	72	𝜎	𝜎	X
cana-5492	490	73	=	=	X
cana-5492	490	74	{	{	PUNCT
cana-5492	490	75	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	490	76	)	)	PUNCT
cana-5492	490	77	,	,	PUNCT
cana-5492	490	78	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	490	79	)	)	PUNCT
cana-5492	490	80	,	,	PUNCT
cana-5492	490	81	(	(	PUNCT
cana-5492	490	82	𝑉1	𝑉1	NOUN
cana-5492	490	83	,	,	PUNCT
cana-5492	490	84	ϱ	ϱ	NOUN
cana-5492	490	85	)	)	PUNCT
cana-5492	490	86	}	}	PUNCT
cana-5492	490	87	.	.	PUNCT
cana-5492	491	1	let	let	VERB
cana-5492	491	2	𝒢	𝒢	NOUN
cana-5492	491	3	:	:	PUNCT
cana-5492	491	4	(	(	PUNCT
cana-5492	491	5	𝕎	𝕎	PROPN
cana-5492	491	6	,	,	PUNCT
cana-5492	491	7	τ	τ	PROPN
cana-5492	491	8	,	,	PUNCT
cana-5492	491	9	ϱ	ϱ	PROPN
cana-5492	491	10	)	)	PUNCT
cana-5492	491	11	→	→	SYM
cana-5492	491	12	(	(	PUNCT
cana-5492	491	13	𝕋	𝕋	PROPN
cana-5492	491	14	,	,	PUNCT
cana-5492	491	15	σ	σ	PROPN
cana-5492	491	16	,	,	PUNCT
cana-5492	491	17	ϱ	ϱ	NOUN
cana-5492	491	18	)	)	PUNCT
cana-5492	491	19	be	be	VERB
cana-5492	491	20	an	an	DET
cana-5492	491	21	identity	identity	NOUN
cana-5492	491	22	mapping	mapping	NOUN
cana-5492	491	23	.	.	PUNCT
cana-5492	492	1	then	then	ADV
cana-5492	492	2	𝒢	𝒢	PROPN
cana-5492	492	3	is	be	AUX
cana-5492	492	4	a	a	DET
cana-5492	492	5	nscontrazhom	nscontrazhom	NOUN
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cana-5492	492	7	(	(	PUNCT
cana-5492	492	8	𝑆1	𝑆1	PROPN
cana-5492	492	9	,	,	PUNCT
cana-5492	492	10	ϱ	ϱ	NOUN
cana-5492	492	11	)	)	PUNCT
cana-5492	492	12	,	,	PUNCT
cana-5492	492	13	(	(	PUNCT
cana-5492	492	14	𝑆2	𝑆2	PROPN
cana-5492	492	15	,	,	PUNCT
cana-5492	492	16	ϱ	ϱ	NOUN
cana-5492	492	17	)	)	PUNCT
cana-5492	492	18	and	and	CCONJ
cana-5492	492	19	(	(	PUNCT
cana-5492	492	20	𝑆3	𝑆3	PROPN
cana-5492	492	21	,	,	PUNCT
cana-5492	492	22	ϱ	ϱ	NOUN
cana-5492	492	23	)	)	PUNCT
cana-5492	492	24	are	be	AUX
cana-5492	492	25	nsos	nsos	ADJ
cana-5492	492	26	in	in	ADP
cana-5492	492	27	𝕎	𝕎	PROPN
cana-5492	492	28	and	and	CCONJ
cana-5492	492	29	𝒢	𝒢	PROPN
cana-5492	492	30	(	(	PUNCT
cana-5492	492	31	𝑆1	𝑆1	PROPN
cana-5492	492	32	,	,	PUNCT
cana-5492	492	33	ϱ	ϱ	NOUN
cana-5492	492	34	)	)	PUNCT
cana-5492	492	35	,	,	PUNCT
cana-5492	492	36	𝒢(𝑆2	𝒢(𝑆2	NOUN
cana-5492	492	37	,	,	PUNCT
cana-5492	492	38	ϱ	ϱ	NOUN
cana-5492	492	39	)	)	PUNCT
cana-5492	492	40	and	and	CCONJ
cana-5492	492	41	𝒢(𝑆3	𝒢(𝑆3	PROPN
cana-5492	492	42	,	,	PUNCT
cana-5492	492	43	ϱ	ϱ	NOUN
cana-5492	492	44	)	)	PUNCT
cana-5492	492	45	are	be	AUX
cana-5492	492	46	nszcs	nszcs	NOUN
cana-5492	492	47	in	in	ADP
cana-5492	492	48	𝕋	𝕋	PROPN
cana-5492	492	49	and	and	CCONJ
cana-5492	492	50	𝒢	𝒢	PROPN
cana-5492	492	51	−1	−1	NOUN
cana-5492	492	52	(	(	PUNCT
cana-5492	492	53	𝑉1	𝑉1	PROPN
cana-5492	492	54	,	,	PUNCT
cana-5492	492	55	ϱ	ϱ	NOUN
cana-5492	492	56	)	)	PUNCT
cana-5492	493	1	=	=	SYM
cana-5492	493	2	(	(	PUNCT
cana-5492	493	3	𝑆4	𝑆4	PROPN
cana-5492	493	4	,	,	PUNCT
cana-5492	493	5	ϱ	ϱ	NOUN
cana-5492	493	6	)	)	PUNCT
cana-5492	493	7	is	be	AUX
cana-5492	493	8	nszcs	nszcs	NOUN
cana-5492	493	9	in	in	ADP
cana-5492	493	10	𝕎.	𝕎.	PROPN
cana-5492	493	11	but	but	CCONJ
cana-5492	493	12	𝒢	𝒢	NOUN
cana-5492	493	13	is	be	AUX
cana-5492	493	14	not	not	PART
cana-5492	493	15	nscontrahom	nscontrahom	VERB
cana-5492	493	16	because	because	SCONJ
cana-5492	493	17	𝒢(𝑆1	𝒢(𝑆1	NOUN
cana-5492	493	18	,	,	PUNCT
cana-5492	493	19	ϱ	ϱ	NOUN
cana-5492	493	20	)	)	PUNCT
cana-5492	493	21	,	,	PUNCT
cana-5492	493	22	𝒢(𝑆2	𝒢(𝑆2	NOUN
cana-5492	493	23	,	,	PUNCT
cana-5492	493	24	ϱ	ϱ	NOUN
cana-5492	493	25	)	)	PUNCT
cana-5492	493	26	and	and	CCONJ
cana-5492	493	27	𝒢(𝑆3	𝒢(𝑆3	PROPN
cana-5492	493	28	,	,	PUNCT
cana-5492	493	29	ϱ	ϱ	NOUN
cana-5492	493	30	)	)	PUNCT
cana-5492	493	31	are	be	AUX
cana-5492	493	32	not	not	PART
cana-5492	493	33	nscs	nsc	VERB
cana-5492	493	34	in	in	ADP
cana-5492	493	35	𝕋	𝕋	PROPN
cana-5492	493	36	and	and	CCONJ
cana-5492	493	37	𝒢	𝒢	PROPN
cana-5492	493	38	−1(𝑉1	−1(𝑉1	NOUN
cana-5492	493	39	,	,	PUNCT
cana-5492	493	40	ϱ	ϱ	NOUN
cana-5492	493	41	)	)	PUNCT
cana-5492	494	1	=	=	SYM
cana-5492	494	2	(	(	PUNCT
cana-5492	494	3	𝑆4	𝑆4	PROPN
cana-5492	494	4	,	,	PUNCT
cana-5492	494	5	ϱ	ϱ	NOUN
cana-5492	494	6	)	)	PUNCT
cana-5492	494	7	is	be	AUX
cana-5492	494	8	a	a	DET
cana-5492	494	9	nscs	nscs	NOUN
cana-5492	494	10	in	in	ADP
cana-5492	494	11	𝕎.	𝕎.	PROPN
cana-5492	494	12	theorem7.2	theorem7.2	NUM
cana-5492	494	13	consider	consider	VERB
cana-5492	494	14	a	a	DET
cana-5492	494	15	bijective	bijective	ADJ
cana-5492	494	16	mapping	mapping	NOUN
cana-5492	494	17	𝒢	𝒢	NOUN
cana-5492	494	18	:	:	PUNCT
cana-5492	494	19	(	(	PUNCT
cana-5492	494	20	𝕎	𝕎	PROPN
cana-5492	494	21	,	,	PUNCT
cana-5492	494	22	τ	τ	PROPN
cana-5492	494	23	,	,	PUNCT
cana-5492	494	24	ϱ	ϱ	PROPN
cana-5492	494	25	)	)	PUNCT
cana-5492	494	26	→	→	SYM
cana-5492	494	27	(	(	PUNCT
cana-5492	494	28	𝕋	𝕋	PROPN
cana-5492	494	29	,	,	PUNCT
cana-5492	494	30	σ	σ	PROPN
cana-5492	494	31	,	,	PUNCT
cana-5492	494	32	ϱ	ϱ	NOUN
cana-5492	494	33	)	)	PUNCT
cana-5492	494	34	.	.	PUNCT
cana-5492	495	1	the	the	DET
cana-5492	495	2	following	follow	VERB
cana-5492	495	3	statements	statement	NOUN
cana-5492	495	4	are	be	AUX
cana-5492	495	5	equivalent	equivalent	ADJ
cana-5492	495	6	if	if	SCONJ
cana-5492	495	7	𝒢	𝒢	PROPN
cana-5492	495	8	is	be	AUX
cana-5492	495	9	nscontrazcts	nscontrazct	NOUN
cana-5492	495	10	.	.	PUNCT
cana-5492	496	1	(	(	PUNCT
cana-5492	496	2	i	i	NOUN
cana-5492	496	3	)	)	PUNCT
cana-5492	497	1	𝒢	𝒢	NOUN
cana-5492	497	2	is	be	AUX
cana-5492	497	3	a	a	DET
cana-5492	497	4	nscontrazc	nscontrazc	ADJ
cana-5492	497	5	mapping	mapping	NOUN
cana-5492	497	6	.	.	PUNCT
cana-5492	498	1	(	(	PUNCT
cana-5492	498	2	ii	ii	NOUN
cana-5492	498	3	)	)	PUNCT
cana-5492	498	4	𝒢	𝒢	NOUN
cana-5492	498	5	is	be	AUX
cana-5492	498	6	a	a	DET
cana-5492	498	7	nscontrazo	nscontrazo	ADJ
cana-5492	498	8	mapping	mapping	NOUN
cana-5492	498	9	.	.	PUNCT
cana-5492	499	1	(	(	PUNCT
cana-5492	499	2	iii	iii	X
cana-5492	499	3	)	)	PUNCT
cana-5492	499	4	𝒢	𝒢	NOUN
cana-5492	499	5	−1	−1	NOUN
cana-5492	499	6	is	be	AUX
cana-5492	499	7	a	a	DET
cana-5492	499	8	nscontrazhom	nscontrazhom	NOUN
cana-5492	499	9	.	.	PUNCT
cana-5492	500	1	proof	proof	NOUN
cana-5492	500	2	.	.	PUNCT
cana-5492	501	1	:	:	PUNCT
cana-5492	501	2	(	(	PUNCT
cana-5492	501	3	i	i	NOUN
cana-5492	501	4	)	)	PUNCT
cana-5492	501	5	⟹	⟹	PROPN
cana-5492	502	1	(	(	PUNCT
cana-5492	502	2	ii	ii	NOUN
cana-5492	502	3	):	):	PUNCT
cana-5492	502	4	let	let	VERB
cana-5492	502	5	𝒢	𝒢	PRON
cana-5492	502	6	be	be	AUX
cana-5492	502	7	a	a	DET
cana-5492	502	8	bijective	bijective	ADJ
cana-5492	502	9	mapping	mapping	NOUN
cana-5492	502	10	and	and	CCONJ
cana-5492	502	11	a	a	DET
cana-5492	502	12	nscontrazc	nscontrazc	ADJ
cana-5492	502	13	mapping	mapping	NOUN
cana-5492	502	14	.	.	PUNCT
cana-5492	503	1	therefore	therefore	ADV
cana-5492	503	2	,	,	PUNCT
cana-5492	503	3	𝒢	𝒢	ADJ
cana-5492	503	4	−1	−1	NOUN
cana-5492	503	5	is	be	AUX
cana-5492	503	6	a	a	DET
cana-5492	503	7	nscontrazcts	nscontrazct	NOUN
cana-5492	503	8	mapping	mapping	NOUN
cana-5492	503	9	.	.	PUNCT
cana-5492	504	1	as	as	SCONJ
cana-5492	504	2	each	each	DET
cana-5492	504	3	nsos	nsos	NOUN
cana-5492	504	4	in	in	ADP
cana-5492	504	5	(	(	PUNCT
cana-5492	504	6	𝕎	𝕎	PROPN
cana-5492	504	7	,	,	PUNCT
cana-5492	504	8	τ	τ	PROPN
cana-5492	504	9	,	,	PUNCT
cana-5492	504	10	ϱ	ϱ	PROPN
cana-5492	504	11	)	)	PUNCT
cana-5492	504	12	is	be	AUX
cana-5492	504	13	a	a	DET
cana-5492	504	14	nszcs	nszcs	NOUN
cana-5492	504	15	in	in	ADP
cana-5492	504	16	(	(	PUNCT
cana-5492	504	17	𝕋	𝕋	PROPN
cana-5492	504	18	,	,	PUNCT
cana-5492	504	19	σ	σ	PROPN
cana-5492	504	20	,	,	PUNCT
cana-5492	504	21	ϱ	ϱ	NOUN
cana-5492	504	22	)	)	PUNCT
cana-5492	504	23	,	,	PUNCT
cana-5492	504	24	𝒢	𝒢	PROPN
cana-5492	504	25	is	be	AUX
cana-5492	504	26	a	a	DET
cana-5492	504	27	nscontrazo	nscontrazo	ADJ
cana-5492	504	28	mapping	mapping	NOUN
cana-5492	504	29	.	.	PUNCT
cana-5492	505	1	communications	communication	NOUN
cana-5492	505	2	on	on	ADP
cana-5492	505	3	applied	apply	VERB
cana-5492	505	4	nonlinear	nonlinear	ADJ
cana-5492	505	5	analysis	analysis	NOUN
cana-5492	505	6	issn	issn	NOUN
cana-5492	505	7	:	:	PUNCT
cana-5492	505	8	1074	1074	NUM
cana-5492	505	9	-	-	PUNCT
cana-5492	505	10	133x	133x	NUM
cana-5492	505	11	vol	vol	VERB
cana-5492	505	12	32	32	NUM
cana-5492	505	13	no	no	NOUN
cana-5492	505	14	.	.	PUNCT
cana-5492	506	1	10s	10	NOUN
cana-5492	506	2	(	(	PUNCT
cana-5492	506	3	2025	2025	NUM
cana-5492	506	4	)	)	PUNCT
cana-5492	506	5	2462	2462	NUM
cana-5492	506	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	506	7	(	(	PUNCT
cana-5492	506	8	ii	ii	PROPN
cana-5492	506	9	)	)	PUNCT
cana-5492	506	10	⟹	⟹	PROPN
cana-5492	507	1	(	(	PUNCT
cana-5492	507	2	iii	iii	NOUN
cana-5492	507	3	):	):	PUNCT
cana-5492	507	4	assume	assume	VERB
cana-5492	507	5	𝒢	𝒢	PROPN
cana-5492	507	6	is	be	AUX
cana-5492	507	7	a	a	DET
cana-5492	507	8	bijective	bijective	ADJ
cana-5492	507	9	and	and	CCONJ
cana-5492	507	10	nsconrao	nsconrao	ADJ
cana-5492	507	11	mapping	mapping	NOUN
cana-5492	507	12	.	.	PUNCT
cana-5492	508	1	also	also	ADV
cana-5492	508	2	,	,	PUNCT
cana-5492	508	3	𝒢	𝒢	ADJ
cana-5492	508	4	−1	−1	NOUN
cana-5492	508	5	is	be	AUX
cana-5492	508	6	a	a	DET
cana-5492	508	7	nscontrazcts	nscontrazcts	ADJ
cana-5492	508	8	mapping	mapping	NOUN
cana-5492	508	9	.	.	PUNCT
cana-5492	509	1	therefore	therefore	ADV
cana-5492	509	2	,	,	PUNCT
cana-5492	509	3	𝒢	𝒢	PROPN
cana-5492	509	4	and	and	CCONJ
cana-5492	509	5	𝒢	𝒢	PROPN
cana-5492	509	6	−1	−1	NOUN
cana-5492	509	7	are	be	AUX
cana-5492	509	8	nscontrazcts	nscontrazct	NOUN
cana-5492	509	9	.	.	PUNCT
cana-5492	510	1	thus	thus	ADV
cana-5492	510	2	,	,	PUNCT
cana-5492	510	3	𝒢	𝒢	PROPN
cana-5492	510	4	is	be	AUX
cana-5492	510	5	a	a	DET
cana-5492	510	6	nscontrazhom	nscontrazhom	NOUN
cana-5492	510	7	.	.	PUNCT
cana-5492	511	1	(	(	PUNCT
cana-5492	511	2	iii	iii	NOUN
cana-5492	511	3	)	)	PUNCT
cana-5492	511	4	⟹	⟹	PUNCT
cana-5492	512	1	(	(	PUNCT
cana-5492	512	2	i	i	NOUN
cana-5492	512	3	):	):	PUNCT
cana-5492	512	4	assume	assume	VERB
cana-5492	512	5	𝒢	𝒢	PROPN
cana-5492	512	6	is	be	AUX
cana-5492	512	7	a	a	DET
cana-5492	512	8	nscontrazhom	nscontrazhom	NOUN
cana-5492	512	9	.	.	PUNCT
cana-5492	513	1	so	so	ADV
cana-5492	513	2	,	,	PUNCT
cana-5492	513	3	𝒢	𝒢	PROPN
cana-5492	513	4	and	and	CCONJ
cana-5492	513	5	𝒢	𝒢	PROPN
cana-5492	513	6	−1	−1	NOUN
cana-5492	513	7	are	be	AUX
cana-5492	513	8	nscontrazcts	nscontrazct	NOUN
cana-5492	513	9	.	.	PUNCT
cana-5492	514	1	as	as	SCONJ
cana-5492	514	2	every	every	DET
cana-5492	514	3	nscs	nscs	NOUN
cana-5492	514	4	in	in	ADP
cana-5492	514	5	(	(	PUNCT
cana-5492	514	6	𝕎	𝕎	PROPN
cana-5492	514	7	,	,	PUNCT
cana-5492	514	8	τ	τ	PROPN
cana-5492	514	9	,	,	PUNCT
cana-5492	514	10	ϱ	ϱ	PROPN
cana-5492	514	11	)	)	PUNCT
cana-5492	514	12	is	be	AUX
cana-5492	514	13	a	a	DET
cana-5492	514	14	nszos	nszos	NOUN
cana-5492	514	15	in	in	ADP
cana-5492	514	16	(	(	PUNCT
cana-5492	514	17	𝕋	𝕋	PROPN
cana-5492	514	18	,	,	PUNCT
cana-5492	514	19	σ	σ	PROPN
cana-5492	514	20	,	,	PUNCT
cana-5492	514	21	ϱ	ϱ	NOUN
cana-5492	514	22	)	)	PUNCT
cana-5492	514	23	,	,	PUNCT
cana-5492	514	24	𝒢	𝒢	PROPN
cana-5492	514	25	is	be	AUX
cana-5492	514	26	a	a	DET
cana-5492	514	27	nscontrazc	nscontrazc	ADJ
cana-5492	514	28	mapping	mapping	NOUN
cana-5492	514	29	.	.	PUNCT
cana-5492	515	1	theorem	theorem	ADJ
cana-5492	515	2	7.3	7.3	NUM
cana-5492	515	3	let	let	VERB
cana-5492	515	4	𝒢	𝒢	NOUN
cana-5492	515	5	:	:	PUNCT
cana-5492	515	6	(	(	PUNCT
cana-5492	515	7	𝕎	𝕎	PROPN
cana-5492	515	8	,	,	PUNCT
cana-5492	515	9	τ	τ	PROPN
cana-5492	515	10	,	,	PUNCT
cana-5492	515	11	ϱ	ϱ	PROPN
cana-5492	515	12	)	)	PUNCT
cana-5492	515	13	→	→	SYM
cana-5492	515	14	(	(	PUNCT
cana-5492	515	15	𝕋	𝕋	PROPN
cana-5492	515	16	,	,	PUNCT
cana-5492	515	17	σ	σ	PROPN
cana-5492	515	18	,	,	PUNCT
cana-5492	515	19	ϱ	ϱ	NOUN
cana-5492	515	20	)	)	PUNCT
cana-5492	515	21	be	be	VERB
cana-5492	515	22	a	a	DET
cana-5492	515	23	nscontrazhom	nscontrazhom	NOUN
cana-5492	515	24	.	.	PUNCT
cana-5492	516	1	if	if	SCONJ
cana-5492	516	2	(	(	PUNCT
cana-5492	516	3	𝕎	𝕎	PROPN
cana-5492	516	4	,	,	PUNCT
cana-5492	516	5	τ	τ	PROPN
cana-5492	516	6	,	,	PUNCT
cana-5492	516	7	ϱ	ϱ	NOUN
cana-5492	516	8	)	)	PUNCT
cana-5492	516	9	and	and	CCONJ
cana-5492	516	10	(	(	PUNCT
cana-5492	516	11	𝕋	𝕋	PROPN
cana-5492	516	12	,	,	PUNCT
cana-5492	516	13	σ	σ	PROPN
cana-5492	516	14	,	,	PUNCT
cana-5492	516	15	ϱ	ϱ	NOUN
cana-5492	516	16	)	)	PUNCT
cana-5492	516	17	are	be	AUX
cana-5492	516	18	nszt1	nszt1	NOUN
cana-5492	516	19	2	2	NUM
cana-5492	516	20	spaces	space	NOUN
cana-5492	516	21	,	,	PUNCT
cana-5492	516	22	then	then	ADV
cana-5492	516	23	𝒢	𝒢	PROPN
cana-5492	516	24	is	be	AUX
cana-5492	516	25	a	a	DET
cana-5492	516	26	nscontrahom	nscontrahom	NOUN
cana-5492	516	27	.	.	PUNCT
cana-5492	517	1	proof	proof	NOUN
cana-5492	517	2	.	.	PUNCT
cana-5492	518	1	consider	consider	VERB
cana-5492	518	2	a	a	DET
cana-5492	518	3	nscs	nscs	NOUN
cana-5492	518	4	(	(	PUNCT
cana-5492	518	5	s	s	PROPN
cana-5492	518	6	,	,	PUNCT
cana-5492	518	7	ϱ	ϱ	NOUN
cana-5492	518	8	)	)	PUNCT
cana-5492	518	9	in	in	ADP
cana-5492	518	10	(	(	PUNCT
cana-5492	518	11	𝕋	𝕋	PROPN
cana-5492	518	12	,	,	PUNCT
cana-5492	518	13	σ	σ	PROPN
cana-5492	518	14	,	,	PUNCT
cana-5492	518	15	ϱ	ϱ	NOUN
cana-5492	518	16	)	)	PUNCT
cana-5492	518	17	.	.	PUNCT
cana-5492	519	1	so	so	ADV
cana-5492	519	2	,	,	PUNCT
cana-5492	519	3	𝒢	𝒢	ADJ
cana-5492	519	4	−1	−1	NOUN
cana-5492	519	5	(	(	PUNCT
cana-5492	519	6	s	s	PROPN
cana-5492	519	7	,	,	PUNCT
cana-5492	519	8	ϱ	ϱ	NOUN
cana-5492	519	9	)	)	PUNCT
cana-5492	519	10	is	be	AUX
cana-5492	519	11	a	a	DET
cana-5492	519	12	nszos	nszos	NOUN
cana-5492	519	13	in	in	ADP
cana-5492	519	14	(	(	PUNCT
cana-5492	519	15	𝕎	𝕎	PROPN
cana-5492	519	16	,	,	PUNCT
cana-5492	519	17	τ	τ	PROPN
cana-5492	519	18	,	,	PUNCT
cana-5492	519	19	ϱ	ϱ	NOUN
cana-5492	519	20	)	)	PUNCT
cana-5492	519	21	.	.	PUNCT
cana-5492	520	1	as	as	SCONJ
cana-5492	520	2	,	,	PUNCT
cana-5492	520	3	(	(	PUNCT
cana-5492	520	4	𝕎	𝕎	PROPN
cana-5492	520	5	,	,	PUNCT
cana-5492	520	6	τ	τ	PROPN
cana-5492	520	7	,	,	PUNCT
cana-5492	520	8	ϱ	ϱ	PROPN
cana-5492	520	9	)	)	PUNCT
cana-5492	520	10	is	be	AUX
cana-5492	520	11	a	a	DET
cana-5492	520	12	nszt1	nszt1	NOUN
cana-5492	520	13	2	2	NUM
cana-5492	520	14	-space	-space	NOUN
cana-5492	520	15	,	,	PUNCT
cana-5492	520	16	𝒢	𝒢	ADJ
cana-5492	520	17	−1	−1	NOUN
cana-5492	520	18	(	(	PUNCT
cana-5492	520	19	s	s	PROPN
cana-5492	520	20	,	,	PUNCT
cana-5492	520	21	ϱ	ϱ	NOUN
cana-5492	520	22	)	)	PUNCT
cana-5492	520	23	is	be	AUX
cana-5492	520	24	a	a	DET
cana-5492	520	25	nsos	nsos	NOUN
cana-5492	520	26	in	in	ADP
cana-5492	520	27	(	(	PUNCT
cana-5492	520	28	𝕎	𝕎	PROPN
cana-5492	520	29	,	,	PUNCT
cana-5492	520	30	τ	τ	PROPN
cana-5492	520	31	,	,	PUNCT
cana-5492	520	32	ϱ	ϱ	NOUN
cana-5492	520	33	)	)	PUNCT
cana-5492	520	34	.	.	PUNCT
cana-5492	521	1	therefore	therefore	ADV
cana-5492	521	2	,	,	PUNCT
cana-5492	521	3	𝒢	𝒢	PROPN
cana-5492	521	4	is	be	AUX
cana-5492	521	5	nscontracts	nscontract	NOUN
cana-5492	521	6	.	.	PUNCT
cana-5492	522	1	by	by	ADP
cana-5492	522	2	hypothesis	hypothesis	NOUN
cana-5492	522	3	,	,	PUNCT
cana-5492	522	4	𝒢	𝒢	ADJ
cana-5492	522	5	−1	−1	NOUN
cana-5492	522	6	is	be	AUX
cana-5492	522	7	nscontrazcts	nscontrazct	NOUN
cana-5492	522	8	.	.	PUNCT
cana-5492	523	1	let	let	AUX
cana-5492	523	2	(	(	PUNCT
cana-5492	523	3	b	b	NOUN
cana-5492	523	4	,	,	PUNCT
cana-5492	523	5	ϱ	ϱ	NOUN
cana-5492	523	6	)	)	PUNCT
cana-5492	523	7	be	be	VERB
cana-5492	523	8	a	a	DET
cana-5492	523	9	nscs	nscs	NOUN
cana-5492	523	10	in	in	ADP
cana-5492	523	11	(	(	PUNCT
cana-5492	523	12	𝕎	𝕎	PROPN
cana-5492	523	13	,	,	PUNCT
cana-5492	523	14	τ	τ	PROPN
cana-5492	523	15	,	,	PUNCT
cana-5492	523	16	ϱ	ϱ	NOUN
cana-5492	523	17	)	)	PUNCT
cana-5492	523	18	.	.	PUNCT
cana-5492	524	1	then	then	ADV
cana-5492	524	2	𝒢(b	𝒢(b	PRON
cana-5492	524	3	,	,	PUNCT
cana-5492	524	4	ϱ	ϱ	PROPN
cana-5492	524	5	)	)	PUNCT
cana-5492	524	6	is	be	AUX
cana-5492	524	7	a	a	DET
cana-5492	524	8	nszos	nszos	NOUN
cana-5492	524	9	in	in	ADP
cana-5492	524	10	(	(	PUNCT
cana-5492	524	11	𝕋	𝕋	PROPN
cana-5492	524	12	,	,	PUNCT
cana-5492	524	13	σ	σ	PROPN
cana-5492	524	14	,	,	PUNCT
cana-5492	524	15	ϱ	ϱ	NOUN
cana-5492	524	16	)	)	PUNCT
cana-5492	524	17	,	,	PUNCT
cana-5492	524	18	by	by	ADP
cana-5492	524	19	presumption	presumption	NOUN
cana-5492	524	20	.	.	PUNCT
cana-5492	525	1	since	since	SCONJ
cana-5492	525	2	(	(	PUNCT
cana-5492	525	3	𝕋	𝕋	PROPN
cana-5492	525	4	,	,	PUNCT
cana-5492	525	5	σ	σ	PROPN
cana-5492	525	6	,	,	PUNCT
cana-5492	525	7	ϱ	ϱ	NOUN
cana-5492	525	8	)	)	PUNCT
cana-5492	525	9	is	be	AUX
cana-5492	525	10	a	a	DET
cana-5492	525	11	nszt1	nszt1	NOUN
cana-5492	525	12	2	2	NUM
cana-5492	525	13	space	space	NOUN
cana-5492	525	14	,	,	PUNCT
cana-5492	525	15	𝒢(b	𝒢(b	PRON
cana-5492	525	16	,	,	PUNCT
cana-5492	525	17	ϱ	ϱ	NOUN
cana-5492	525	18	)	)	PUNCT
cana-5492	525	19	is	be	AUX
cana-5492	525	20	a	a	DET
cana-5492	525	21	nsos	nsos	NOUN
cana-5492	525	22	in	in	ADP
cana-5492	525	23	(	(	PUNCT
cana-5492	525	24	𝕋	𝕋	PROPN
cana-5492	525	25	,	,	PUNCT
cana-5492	525	26	σ	σ	PROPN
cana-5492	525	27	,	,	PUNCT
cana-5492	525	28	ϱ	ϱ	NOUN
cana-5492	525	29	)	)	PUNCT
cana-5492	525	30	.	.	PUNCT
cana-5492	526	1	therefore	therefore	ADV
cana-5492	526	2	,	,	PUNCT
cana-5492	526	3	𝒢	𝒢	ADJ
cana-5492	526	4	−1	−1	NOUN
cana-5492	526	5	is	be	AUX
cana-5492	526	6	nscontracts	nscontract	NOUN
cana-5492	526	7	.	.	PUNCT
cana-5492	527	1	thus	thus	ADV
cana-5492	527	2	𝒢	𝒢	PRON
cana-5492	527	3	is	be	AUX
cana-5492	527	4	a	a	DET
cana-5492	527	5	nscontrahom	nscontrahom	ADJ
cana-5492	527	6	.	.	PUNCT
cana-5492	528	1	theorem	theorem	NOUN
cana-5492	528	2	7.4	7.4	NUM
cana-5492	528	3	let	let	VERB
cana-5492	528	4	𝒢	𝒢	NOUN
cana-5492	528	5	:	:	PUNCT
cana-5492	528	6	(	(	PUNCT
cana-5492	528	7	𝕎	𝕎	PROPN
cana-5492	528	8	,	,	PUNCT
cana-5492	528	9	τ	τ	PROPN
cana-5492	528	10	,	,	PUNCT
cana-5492	528	11	ϱ	ϱ	PROPN
cana-5492	528	12	)	)	PUNCT
cana-5492	528	13	→	→	SYM
cana-5492	528	14	(	(	PUNCT
cana-5492	528	15	𝕋	𝕋	PROPN
cana-5492	528	16	,	,	PUNCT
cana-5492	528	17	σ	σ	PROPN
cana-5492	528	18	,	,	PUNCT
cana-5492	528	19	ϱ	ϱ	NOUN
cana-5492	528	20	)	)	PUNCT
cana-5492	528	21	be	be	VERB
cana-5492	528	22	a	a	DET
cana-5492	528	23	nscts	nsct	NOUN
cana-5492	528	24	.	.	PUNCT
cana-5492	529	1	if	if	SCONJ
cana-5492	529	2	(	(	PUNCT
cana-5492	529	3	𝕋	𝕋	PROPN
cana-5492	529	4	,	,	PUNCT
cana-5492	529	5	σ	σ	PROPN
cana-5492	529	6	,	,	PUNCT
cana-5492	529	7	ϱ	ϱ	NOUN
cana-5492	529	8	)	)	PUNCT
cana-5492	529	9	are	be	AUX
cana-5492	529	10	nszt1	nszt1	NOUN
cana-5492	529	11	2	2	NUM
cana-5492	529	12	space	space	NOUN
cana-5492	529	13	,	,	PUNCT
cana-5492	529	14	then	then	ADV
cana-5492	529	15	the	the	DET
cana-5492	529	16	following	following	NOUN
cana-5492	529	17	are	be	AUX
cana-5492	529	18	equivalent	equivalent	ADJ
cana-5492	529	19	.	.	PUNCT
cana-5492	530	1	1	1	X
cana-5492	530	2	.	.	X
cana-5492	531	1	𝒢	𝒢	NOUN
cana-5492	531	2	is	be	AUX
cana-5492	531	3	nscontrazc	nscontrazc	ADJ
cana-5492	531	4	mapping	mapping	NOUN
cana-5492	531	5	.	.	PUNCT
cana-5492	532	1	2	2	X
cana-5492	532	2	.	.	X
cana-5492	533	1	if	if	SCONJ
cana-5492	533	2	(	(	PUNCT
cana-5492	533	3	b	b	NOUN
cana-5492	533	4	,	,	PUNCT
cana-5492	533	5	ϱ	ϱ	NOUN
cana-5492	533	6	)	)	PUNCT
cana-5492	533	7	is	be	AUX
cana-5492	533	8	a	a	DET
cana-5492	533	9	nsos	nsos	NOUN
cana-5492	533	10	in	in	ADP
cana-5492	533	11	(	(	PUNCT
cana-5492	533	12	𝕎	𝕎	PROPN
cana-5492	533	13	,	,	PUNCT
cana-5492	533	14	τ	τ	PROPN
cana-5492	533	15	,	,	PUNCT
cana-5492	533	16	ϱ	ϱ	NOUN
cana-5492	533	17	)	)	PUNCT
cana-5492	533	18	,	,	PUNCT
cana-5492	533	19	then	then	ADV
cana-5492	533	20	𝒢	𝒢	PROPN
cana-5492	533	21	(	(	PUNCT
cana-5492	533	22	b	b	NOUN
cana-5492	533	23	,	,	PUNCT
cana-5492	533	24	ϱ	ϱ	NOUN
cana-5492	533	25	)	)	PUNCT
cana-5492	533	26	is	be	AUX
cana-5492	533	27	nszcs	nszcs	NOUN
cana-5492	533	28	in	in	ADP
cana-5492	533	29	(	(	PUNCT
cana-5492	533	30	𝕋	𝕋	PROPN
cana-5492	533	31	,	,	PUNCT
cana-5492	533	32	σ	σ	PROPN
cana-5492	533	33	,	,	PUNCT
cana-5492	533	34	ϱ	ϱ	NOUN
cana-5492	533	35	)	)	PUNCT
cana-5492	533	36	.	.	PUNCT
cana-5492	534	1	3	3	X
cana-5492	534	2	.	.	X
cana-5492	535	1	𝒢	𝒢	NOUN
cana-5492	535	2	(	(	PUNCT
cana-5492	535	3	nsint(b	nsint(b	PROPN
cana-5492	535	4	,	,	PUNCT
cana-5492	535	5	ϱ	ϱ	NOUN
cana-5492	535	6	)	)	PUNCT
cana-5492	535	7	)	)	PUNCT
cana-5492	535	8	⊆	⊆	NUM
cana-5492	535	9	nscl(nsint(𝒢	nscl(nsint(𝒢	PROPN
cana-5492	535	10	(	(	PUNCT
cana-5492	535	11	b	b	NOUN
cana-5492	535	12	,	,	PUNCT
cana-5492	535	13	ϱ	ϱ	NOUN
cana-5492	535	14	)	)	PUNCT
cana-5492	535	15	)	)	PUNCT
cana-5492	535	16	)	)	PUNCT
cana-5492	536	1	for	for	ADP
cana-5492	536	2	every	every	DET
cana-5492	536	3	nss	nss	NOUN
cana-5492	536	4	(	(	PUNCT
cana-5492	536	5	b	b	NOUN
cana-5492	536	6	,	,	PUNCT
cana-5492	536	7	ϱ	ϱ	NOUN
cana-5492	536	8	)	)	PUNCT
cana-5492	536	9	in	in	ADP
cana-5492	536	10	(	(	PUNCT
cana-5492	536	11	𝕎	𝕎	PROPN
cana-5492	536	12	,	,	PUNCT
cana-5492	536	13	τ	τ	PROPN
cana-5492	536	14	,	,	PUNCT
cana-5492	536	15	ϱ	ϱ	NOUN
cana-5492	536	16	)	)	PUNCT
cana-5492	536	17	.	.	PUNCT
cana-5492	537	1	proof	proof	NOUN
cana-5492	537	2	.	.	PUNCT
cana-5492	538	1	(	(	PUNCT
cana-5492	538	2	i	i	NOUN
cana-5492	538	3	)	)	PUNCT
cana-5492	538	4	⟹	⟹	PROPN
cana-5492	538	5	(	(	PUNCT
cana-5492	538	6	ii	ii	NOUN
cana-5492	538	7	)	)	PUNCT
cana-5492	538	8	:	:	PUNCT
cana-5492	538	9	obvious	obvious	ADJ
cana-5492	538	10	.	.	PUNCT
cana-5492	539	1	(	(	PUNCT
cana-5492	539	2	ii	ii	NOUN
cana-5492	539	3	)	)	PUNCT
cana-5492	539	4	⟹	⟹	PROPN
cana-5492	539	5	(	(	PUNCT
cana-5492	539	6	iii	iii	NOUN
cana-5492	539	7	)	)	PUNCT
cana-5492	539	8	consider	consider	VERB
cana-5492	539	9	a	a	DET
cana-5492	539	10	nss	nss	NOUN
cana-5492	539	11	(	(	PUNCT
cana-5492	539	12	b	b	NOUN
cana-5492	539	13	,	,	PUNCT
cana-5492	539	14	ϱ	ϱ	NOUN
cana-5492	539	15	)	)	PUNCT
cana-5492	539	16	in	in	ADP
cana-5492	539	17	(	(	PUNCT
cana-5492	539	18	𝕎	𝕎	PROPN
cana-5492	539	19	,	,	PUNCT
cana-5492	539	20	τ	τ	PROPN
cana-5492	539	21	,	,	PUNCT
cana-5492	539	22	ϱ	ϱ	NOUN
cana-5492	539	23	)	)	PUNCT
cana-5492	539	24	.	.	PUNCT
cana-5492	540	1	we	we	PRON
cana-5492	540	2	know	know	VERB
cana-5492	540	3	that	that	SCONJ
cana-5492	540	4	,	,	PUNCT
cana-5492	540	5	nsint(b	nsint(b	PROPN
cana-5492	540	6	,	,	PUNCT
cana-5492	540	7	ϱ	ϱ	NOUN
cana-5492	540	8	)	)	PUNCT
cana-5492	540	9	is	be	AUX
cana-5492	540	10	a	a	DET
cana-5492	540	11	nsos	nsos	NOUN
cana-5492	540	12	in	in	ADP
cana-5492	540	13	(	(	PUNCT
cana-5492	540	14	𝕎	𝕎	PROPN
cana-5492	540	15	,	,	PUNCT
cana-5492	540	16	τ	τ	PROPN
cana-5492	540	17	,	,	PUNCT
cana-5492	540	18	ϱ	ϱ	NOUN
cana-5492	540	19	)	)	PUNCT
cana-5492	540	20	.	.	PUNCT
cana-5492	541	1	then	then	ADV
cana-5492	541	2	,	,	PUNCT
cana-5492	541	3	𝒢(nsint((b	𝒢(nsint((b	NOUN
cana-5492	541	4	,	,	PUNCT
cana-5492	541	5	ϱ	ϱ	NOUN
cana-5492	541	6	)	)	PUNCT
cana-5492	541	7	)	)	PUNCT
cana-5492	541	8	is	be	AUX
cana-5492	541	9	a	a	DET
cana-5492	541	10	nszcs	nszcs	NOUN
cana-5492	541	11	in	in	ADP
cana-5492	541	12	(	(	PUNCT
cana-5492	541	13	𝕋	𝕋	PROPN
cana-5492	541	14	,	,	PUNCT
cana-5492	541	15	σ	σ	PROPN
cana-5492	541	16	,	,	PUNCT
cana-5492	541	17	ϱ	ϱ	NOUN
cana-5492	541	18	)	)	PUNCT
cana-5492	541	19	.	.	PUNCT
cana-5492	542	1	since	since	SCONJ
cana-5492	542	2	(	(	PUNCT
cana-5492	542	3	𝕋	𝕋	PROPN
cana-5492	542	4	,	,	PUNCT
cana-5492	542	5	σ	σ	PROPN
cana-5492	542	6	,	,	PUNCT
cana-5492	542	7	ϱ	ϱ	NOUN
cana-5492	542	8	)	)	PUNCT
cana-5492	542	9	is	be	AUX
cana-5492	542	10	a	a	DET
cana-5492	542	11	nszt1	nszt1	NOUN
cana-5492	542	12	2	2	NUM
cana-5492	542	13	-space	-space	NOUN
cana-5492	542	14	𝒢(nsint(b	𝒢(nsint(b	NOUN
cana-5492	542	15	,	,	PUNCT
cana-5492	542	16	ϱ	ϱ	NOUN
cana-5492	542	17	)	)	PUNCT
cana-5492	542	18	)	)	PUNCT
cana-5492	542	19	is	be	AUX
cana-5492	542	20	a	a	DET
cana-5492	542	21	nscs	nscs	NOUN
cana-5492	542	22	in	in	ADP
cana-5492	542	23	(	(	PUNCT
cana-5492	542	24	𝕋	𝕋	PROPN
cana-5492	542	25	,	,	PUNCT
cana-5492	542	26	σ	σ	PROPN
cana-5492	542	27	,	,	PUNCT
cana-5492	542	28	ϱ	ϱ	NOUN
cana-5492	542	29	)	)	PUNCT
cana-5492	542	30	.	.	PUNCT
cana-5492	543	1	therefore	therefore	ADV
cana-5492	543	2	,	,	PUNCT
cana-5492	543	3	𝒢(nsint(b	𝒢(nsint(b	VERB
cana-5492	543	4	,	,	PUNCT
cana-5492	543	5	ϱ	ϱ	NOUN
cana-5492	543	6	)	)	PUNCT
cana-5492	543	7	)	)	PUNCT
cana-5492	544	1	=	=	SYM
cana-5492	544	2	nscl(𝒢(𝑁𝑆𝑖𝑛𝑡((b	nscl(𝒢(𝑁𝑆𝑖𝑛𝑡((b	PROPN
cana-5492	544	3	,	,	PUNCT
cana-5492	544	4	ϱ	ϱ	NOUN
cana-5492	544	5	)	)	PUNCT
cana-5492	544	6	)	)	PUNCT
cana-5492	544	7	)	)	PUNCT
cana-5492	545	1	⊆	⊆	X
cana-5492	545	2	nscl(nsint(𝒢((b	nscl(nsint(𝒢((b	NOUN
cana-5492	545	3	,	,	PUNCT
cana-5492	545	4	ϱ	ϱ	NOUN
cana-5492	545	5	)	)	PUNCT
cana-5492	545	6	)	)	PUNCT
cana-5492	545	7	)	)	PUNCT
cana-5492	545	8	.	.	PUNCT
cana-5492	546	1	nscl(nsint(g(b	nscl(nsint(g(b	PRON
cana-5492	546	2	)	)	PUNCT
cana-5492	546	3	)	)	PUNCT
cana-5492	546	4	)	)	PUNCT
cana-5492	546	5	.	.	PUNCT
cana-5492	547	1	(	(	PUNCT
cana-5492	547	2	iii	iii	X
cana-5492	547	3	)	)	PUNCT
cana-5492	547	4	⟹	⟹	VERB
cana-5492	548	1	(	(	PUNCT
cana-5492	548	2	i	i	NOUN
cana-5492	548	3	)	)	PUNCT
cana-5492	548	4	let	let	AUX
cana-5492	548	5	(	(	PUNCT
cana-5492	548	6	b	b	NOUN
cana-5492	548	7	,	,	PUNCT
cana-5492	548	8	ϱ	ϱ	NOUN
cana-5492	548	9	)	)	PUNCT
cana-5492	548	10	be	be	VERB
cana-5492	548	11	a	a	DET
cana-5492	548	12	nscs	nscs	NOUN
cana-5492	548	13	in	in	ADP
cana-5492	548	14	(	(	PUNCT
cana-5492	548	15	𝕎	𝕎	PROPN
cana-5492	548	16	,	,	PUNCT
cana-5492	548	17	τ	τ	PROPN
cana-5492	548	18	,	,	PUNCT
cana-5492	548	19	ϱ	ϱ	NOUN
cana-5492	548	20	)	)	PUNCT
cana-5492	548	21	.	.	PUNCT
cana-5492	549	1	then	then	ADV
cana-5492	549	2	,	,	PUNCT
cana-5492	549	3	(	(	PUNCT
cana-5492	549	4	𝐵	𝐵	NOUN
cana-5492	549	5	,	,	PUNCT
cana-5492	549	6	𝜚	𝜚	NOUN
cana-5492	549	7	)	)	PUNCT
cana-5492	549	8	𝑐	𝑐	NOUN
cana-5492	549	9	is	be	AUX
cana-5492	549	10	a	a	DET
cana-5492	549	11	nsos	nsos	NOUN
cana-5492	549	12	in	in	ADP
cana-5492	549	13	(	(	PUNCT
cana-5492	549	14	𝕎	𝕎	PROPN
cana-5492	549	15	,	,	PUNCT
cana-5492	549	16	τ	τ	PROPN
cana-5492	549	17	,	,	PUNCT
cana-5492	549	18	ϱ	ϱ	NOUN
cana-5492	549	19	)	)	PUNCT
cana-5492	549	20	.	.	PUNCT
cana-5492	550	1	as	as	ADP
cana-5492	550	2	,	,	PUNCT
cana-5492	550	3	𝒢	𝒢	PROPN
cana-5492	550	4	(	(	PUNCT
cana-5492	550	5	nsint((𝐵	nsint((𝐵	PROPN
cana-5492	550	6	,	,	PUNCT
cana-5492	550	7	𝜚	𝜚	NOUN
cana-5492	550	8	)	)	PUNCT
cana-5492	550	9	𝑐	𝑐	NOUN
cana-5492	550	10	)	)	PUNCT
cana-5492	550	11	⊆	⊆	PROPN
cana-5492	550	12	nscl(nsint(𝒢(𝐵	nscl(nsint(𝒢(𝐵	PROPN
cana-5492	550	13	,	,	PUNCT
cana-5492	550	14	𝜚	𝜚	NOUN
cana-5492	550	15	)	)	PUNCT
cana-5492	550	16	𝑐	𝑐	NOUN
cana-5492	550	17	)	)	PUNCT
cana-5492	550	18	)	)	PUNCT
cana-5492	550	19	,	,	PUNCT
cana-5492	550	20	we	we	PRON
cana-5492	550	21	get	get	VERB
cana-5492	550	22	𝒢((𝐵	𝒢((𝐵	NOUN
cana-5492	550	23	,	,	PUNCT
cana-5492	550	24	𝜚	𝜚	NOUN
cana-5492	550	25	)	)	PUNCT
cana-5492	550	26	𝑐	𝑐	NOUN
cana-5492	550	27	)	)	PUNCT
cana-5492	551	1	⊆	⊆	PROPN
cana-5492	551	2	nscl(nsint(𝒢(𝐵	nscl(nsint(𝒢(𝐵	PROPN
cana-5492	551	3	,	,	PUNCT
cana-5492	551	4	𝜚	𝜚	NOUN
cana-5492	551	5	)	)	PUNCT
cana-5492	551	6	𝑐	𝑐	NOUN
cana-5492	551	7	)	)	PUNCT
cana-5492	551	8	)	)	PUNCT
cana-5492	551	9	.	.	PUNCT
cana-5492	552	1	therefore	therefore	ADV
cana-5492	552	2	,	,	PUNCT
cana-5492	552	3	𝒢((𝐵	𝒢((𝐵	NOUN
cana-5492	552	4	,	,	PUNCT
cana-5492	552	5	𝜚	𝜚	NOUN
cana-5492	552	6	)	)	PUNCT
cana-5492	552	7	𝑐	𝑐	NOUN
cana-5492	552	8	)	)	PUNCT
cana-5492	552	9	is	be	AUX
cana-5492	552	10	nszcs	nszcs	NOUN
cana-5492	552	11	in	in	ADP
cana-5492	552	12	(	(	PUNCT
cana-5492	552	13	𝕋	𝕋	PROPN
cana-5492	552	14	,	,	PUNCT
cana-5492	552	15	σ	σ	PROPN
cana-5492	552	16	,	,	PUNCT
cana-5492	552	17	ϱ	ϱ	NOUN
cana-5492	552	18	)	)	PUNCT
cana-5492	552	19	.	.	PUNCT
cana-5492	553	1	thus	thus	ADV
cana-5492	553	2	,	,	PUNCT
cana-5492	553	3	𝒢(b	𝒢(b	PRON
cana-5492	553	4	,	,	PUNCT
cana-5492	553	5	ϱ	ϱ	NOUN
cana-5492	553	6	)	)	PUNCT
cana-5492	553	7	is	be	AUX
cana-5492	553	8	a	a	DET
cana-5492	553	9	nszos	nszos	NOUN
cana-5492	553	10	in	in	ADP
cana-5492	553	11	(	(	PUNCT
cana-5492	553	12	𝕎	𝕎	PROPN
cana-5492	553	13	,	,	PUNCT
cana-5492	553	14	τ	τ	PROPN
cana-5492	553	15	,	,	PUNCT
cana-5492	553	16	ϱ	ϱ	NOUN
cana-5492	553	17	)	)	PUNCT
cana-5492	553	18	.	.	PUNCT
cana-5492	554	1	hence	hence	ADV
cana-5492	554	2	,	,	PUNCT
cana-5492	554	3	𝒢	𝒢	PROPN
cana-5492	554	4	is	be	AUX
cana-5492	554	5	a	a	DET
cana-5492	554	6	nscontrazc	nscontrazc	ADJ
cana-5492	554	7	mapping	mapping	NOUN
cana-5492	554	8	.	.	PUNCT
cana-5492	555	1	theorem	theorem	VERB
cana-5492	555	2	7.5	7.5	NUM
cana-5492	555	3	let	let	VERB
cana-5492	555	4	𝒢	𝒢	NOUN
cana-5492	555	5	:	:	PUNCT
cana-5492	555	6	(	(	PUNCT
cana-5492	555	7	𝕎	𝕎	PROPN
cana-5492	555	8	,	,	PUNCT
cana-5492	555	9	τ	τ	PROPN
cana-5492	555	10	,	,	PUNCT
cana-5492	555	11	ϱ	ϱ	PROPN
cana-5492	555	12	)	)	PUNCT
cana-5492	555	13	→	→	SYM
cana-5492	555	14	(	(	PUNCT
cana-5492	555	15	𝕋	𝕋	PROPN
cana-5492	555	16	,	,	PUNCT
cana-5492	555	17	σ	σ	PROPN
cana-5492	555	18	,	,	PUNCT
cana-5492	555	19	ϱ	ϱ	NOUN
cana-5492	555	20	)	)	PUNCT
cana-5492	555	21	and	and	CCONJ
cana-5492	555	22	ℋ	ℋ	PROPN
cana-5492	555	23	:	:	PUNCT
cana-5492	555	24	(	(	PUNCT
cana-5492	555	25	𝕋	𝕋	PROPN
cana-5492	555	26	,	,	PUNCT
cana-5492	555	27	σ	σ	PROPN
cana-5492	555	28	,	,	PUNCT
cana-5492	555	29	ϱ	ϱ	NOUN
cana-5492	555	30	)	)	PUNCT
cana-5492	555	31	→	→	SYM
cana-5492	555	32	(	(	PUNCT
cana-5492	555	33	𝕌	𝕌	PROPN
cana-5492	555	34	,	,	PUNCT
cana-5492	555	35	ρ	ρ	PROPN
cana-5492	555	36	,	,	PUNCT
cana-5492	555	37	ϱ	ϱ	NOUN
cana-5492	555	38	)	)	PUNCT
cana-5492	555	39	be	be	AUX
cana-5492	555	40	a	a	DET
cana-5492	555	41	nscontrazc	nscontrazc	NOUN
cana-5492	555	42	,	,	PUNCT
cana-5492	555	43	where	where	SCONJ
cana-5492	555	44	(	(	PUNCT
cana-5492	555	45	𝕎	𝕎	PROPN
cana-5492	555	46	,	,	PUNCT
cana-5492	555	47	τ	τ	PROPN
cana-5492	555	48	,	,	PUNCT
cana-5492	555	49	ϱ	ϱ	NOUN
cana-5492	555	50	)	)	PUNCT
cana-5492	555	51	and	and	CCONJ
cana-5492	555	52	(	(	PUNCT
cana-5492	555	53	𝕌	𝕌	PROPN
cana-5492	555	54	,	,	PUNCT
cana-5492	555	55	ρ	ρ	PROPN
cana-5492	555	56	,	,	PUNCT
cana-5492	555	57	ϱ	ϱ	NOUN
cana-5492	555	58	)	)	PUNCT
cana-5492	555	59	are	be	AUX
cana-5492	555	60	two	two	NUM
cana-5492	555	61	nsts	nst	NOUN
cana-5492	555	62	’s	’s	PART
cana-5492	555	63	and	and	CCONJ
cana-5492	555	64	(	(	PUNCT
cana-5492	555	65	𝕋	𝕋	PROPN
cana-5492	555	66	,	,	PUNCT
cana-5492	555	67	σ	σ	PROPN
cana-5492	555	68	,	,	PUNCT
cana-5492	555	69	ϱ	ϱ	PROPN
cana-5492	555	70	)	)	PUNCT
cana-5492	555	71	a	a	DET
cana-5492	555	72	nszt1	nszt1	NOUN
cana-5492	555	73	2	2	NUM
cana-5492	555	74	space	space	NOUN
cana-5492	555	75	,	,	PUNCT
cana-5492	555	76	then	then	ADV
cana-5492	555	77	the	the	DET
cana-5492	555	78	composition	composition	NOUN
cana-5492	555	79	ℋ	ℋ	NOUN
cana-5492	555	80	∘	∘	NOUN
cana-5492	555	81	𝒢	𝒢	PROPN
cana-5492	555	82	is	be	AUX
cana-5492	555	83	nszc	nszc	ADJ
cana-5492	555	84	.	.	PUNCT
cana-5492	556	1	proof	proof	NOUN
cana-5492	556	2	.	.	PUNCT
cana-5492	557	1	consider	consider	VERB
cana-5492	557	2	a	a	DET
cana-5492	557	3	nscs(b	nscs(b	NOUN
cana-5492	557	4	,	,	PUNCT
cana-5492	557	5	ϱ	ϱ	NOUN
cana-5492	557	6	)	)	PUNCT
cana-5492	557	7	in	in	ADP
cana-5492	557	8	(	(	PUNCT
cana-5492	557	9	𝕎	𝕎	PROPN
cana-5492	557	10	,	,	PUNCT
cana-5492	557	11	τ	τ	PROPN
cana-5492	557	12	,	,	PUNCT
cana-5492	557	13	ϱ	ϱ	NOUN
cana-5492	557	14	)	)	PUNCT
cana-5492	557	15	.	.	PUNCT
cana-5492	558	1	as	as	SCONJ
cana-5492	558	2	𝒢	𝒢	PROPN
cana-5492	558	3	is	be	AUX
cana-5492	558	4	nscontrazc	nscontrazc	ADJ
cana-5492	558	5	and	and	CCONJ
cana-5492	558	6	𝒢(b	𝒢(b	ADV
cana-5492	558	7	,	,	PUNCT
cana-5492	558	8	ϱ	ϱ	PROPN
cana-5492	558	9	)	)	PUNCT
cana-5492	558	10	is	be	AUX
cana-5492	558	11	a	a	DET
cana-5492	558	12	nszos	nszos	NOUN
cana-5492	558	13	in	in	ADP
cana-5492	558	14	(	(	PUNCT
cana-5492	558	15	𝕋	𝕋	PROPN
cana-5492	558	16	,	,	PUNCT
cana-5492	558	17	σ	σ	PROPN
cana-5492	558	18	,	,	PUNCT
cana-5492	558	19	ϱ	ϱ	NOUN
cana-5492	558	20	)	)	PUNCT
cana-5492	558	21	,	,	PUNCT
cana-5492	558	22	by	by	ADP
cana-5492	558	23	assumption	assumption	NOUN
cana-5492	558	24	,	,	PUNCT
cana-5492	558	25	𝒢(b	𝒢(b	PRON
cana-5492	558	26	,	,	PUNCT
cana-5492	558	27	ϱ	ϱ	NOUN
cana-5492	558	28	)	)	PUNCT
cana-5492	558	29	is	be	AUX
cana-5492	558	30	a	a	DET
cana-5492	558	31	nsos	nsos	NOUN
cana-5492	558	32	in	in	ADP
cana-5492	558	33	(	(	PUNCT
cana-5492	558	34	𝕋	𝕋	PROPN
cana-5492	558	35	,	,	PUNCT
cana-5492	558	36	σ	σ	PROPN
cana-5492	558	37	,	,	PUNCT
cana-5492	558	38	ϱ	ϱ	NOUN
cana-5492	558	39	)	)	PUNCT
cana-5492	558	40	.	.	PUNCT
cana-5492	559	1	since	since	SCONJ
cana-5492	559	2	ℋ	ℋ	PROPN
cana-5492	559	3	is	be	AUX
cana-5492	559	4	nscontrazc	nscontrazc	ADJ
cana-5492	559	5	,	,	PUNCT
cana-5492	559	6	then	then	ADV
cana-5492	559	7	ℋ	ℋ	PROPN
cana-5492	559	8	(	(	PUNCT
cana-5492	559	9	𝒢(b	𝒢(b	PROPN
cana-5492	559	10	,	,	PUNCT
cana-5492	559	11	ϱ	ϱ	NOUN
cana-5492	559	12	)	)	PUNCT
cana-5492	559	13	)	)	PUNCT
cana-5492	559	14	is	be	AUX
cana-5492	559	15	nszcs	nszcs	NOUN
cana-5492	559	16	in	in	ADP
cana-5492	559	17	(	(	PUNCT
cana-5492	559	18	𝕌	𝕌	PROPN
cana-5492	559	19	,	,	PUNCT
cana-5492	559	20	ρ	ρ	PROPN
cana-5492	559	21	,	,	PUNCT
cana-5492	559	22	ϱ	ϱ	NOUN
cana-5492	559	23	)	)	PUNCT
cana-5492	559	24	and	and	CCONJ
cana-5492	559	25	ℋ	ℋ	PROPN
cana-5492	559	26	(	(	PUNCT
cana-5492	559	27	𝒢(b	𝒢(b	PROPN
cana-5492	559	28	,	,	PUNCT
cana-5492	559	29	ϱ	ϱ	NOUN
cana-5492	559	30	)	)	PUNCT
cana-5492	559	31	)	)	PUNCT
cana-5492	560	1	=	=	SYM
cana-5492	560	2	(	(	PUNCT
cana-5492	560	3	ℋ	ℋ	NOUN
cana-5492	560	4	∘	∘	NOUN
cana-5492	560	5	𝒢	𝒢	NOUN
cana-5492	560	6	)	)	PUNCT
cana-5492	560	7	(	(	PUNCT
cana-5492	560	8	b	b	X
cana-5492	560	9	,	,	PUNCT
cana-5492	560	10	ϱ	ϱ	NOUN
cana-5492	560	11	)	)	PUNCT
cana-5492	560	12	.	.	PUNCT
cana-5492	561	1	thus	thus	ADV
cana-5492	561	2	,	,	PUNCT
cana-5492	561	3	ℋ	ℋ	PROPN
cana-5492	561	4	∘	∘	PROPN
cana-5492	561	5	𝒢	𝒢	PROPN
cana-5492	561	6	is	be	AUX
cana-5492	561	7	nszc	nszc	ADJ
cana-5492	561	8	.	.	PUNCT
cana-5492	562	1	theorem	theorem	VERB
cana-5492	562	2	7.6	7.6	NUM
cana-5492	562	3	let	let	VERB
cana-5492	562	4	𝒢	𝒢	NOUN
cana-5492	562	5	:	:	PUNCT
cana-5492	562	6	(	(	PUNCT
cana-5492	562	7	𝕎	𝕎	PROPN
cana-5492	562	8	,	,	PUNCT
cana-5492	562	9	τ	τ	PROPN
cana-5492	562	10	,	,	PUNCT
cana-5492	562	11	ϱ	ϱ	PROPN
cana-5492	562	12	)	)	PUNCT
cana-5492	562	13	→	→	SYM
cana-5492	562	14	(	(	PUNCT
cana-5492	562	15	𝕋	𝕋	PROPN
cana-5492	562	16	,	,	PUNCT
cana-5492	562	17	σ	σ	PROPN
cana-5492	562	18	,	,	PUNCT
cana-5492	562	19	ϱ	ϱ	NOUN
cana-5492	562	20	)	)	PUNCT
cana-5492	562	21	and	and	CCONJ
cana-5492	562	22	ℋ	ℋ	PROPN
cana-5492	562	23	:	:	PUNCT
cana-5492	562	24	(	(	PUNCT
cana-5492	562	25	𝕋	𝕋	PROPN
cana-5492	562	26	,	,	PUNCT
cana-5492	562	27	σ	σ	PROPN
cana-5492	562	28	,	,	PUNCT
cana-5492	562	29	ϱ	ϱ	NOUN
cana-5492	562	30	)	)	PUNCT
cana-5492	562	31	→	→	SYM
cana-5492	562	32	(	(	PUNCT
cana-5492	562	33	𝕌	𝕌	PROPN
cana-5492	562	34	,	,	PUNCT
cana-5492	562	35	ρ	ρ	PROPN
cana-5492	562	36	,	,	PUNCT
cana-5492	562	37	ϱ	ϱ	NOUN
cana-5492	562	38	)	)	PUNCT
cana-5492	562	39	be	be	VERB
cana-5492	562	40	two	two	NUM
cana-5492	562	41	nsts	nst	NOUN
cana-5492	562	42	’s	’s	PART
cana-5492	562	43	,	,	PUNCT
cana-5492	562	44	then	then	ADV
cana-5492	562	45	the	the	DET
cana-5492	562	46	following	follow	VERB
cana-5492	562	47	hold	hold	NOUN
cana-5492	562	48	.	.	PUNCT
cana-5492	563	1	1	1	X
cana-5492	563	2	.	.	X
cana-5492	564	1	if	if	SCONJ
cana-5492	564	2	ℋ	ℋ	PROPN
cana-5492	564	3	∘	∘	PROPN
cana-5492	564	4	𝒢	𝒢	NOUN
cana-5492	564	5	is	be	AUX
cana-5492	564	6	nscontrazo	nscontrazo	ADJ
cana-5492	564	7	and	and	CCONJ
cana-5492	564	8	𝒢	𝒢	PROPN
cana-5492	564	9	is	be	AUX
cana-5492	564	10	nscts	nsct	NOUN
cana-5492	564	11	,	,	PUNCT
cana-5492	564	12	then	then	ADV
cana-5492	564	13	ℋ	ℋ	PROPN
cana-5492	564	14	is	be	AUX
cana-5492	564	15	nscontrazo	nscontrazo	ADJ
cana-5492	564	16	.	.	PUNCT
cana-5492	565	1	communications	communication	NOUN
cana-5492	565	2	on	on	ADP
cana-5492	565	3	applied	apply	VERB
cana-5492	565	4	nonlinear	nonlinear	ADJ
cana-5492	565	5	analysis	analysis	NOUN
cana-5492	565	6	issn	issn	NOUN
cana-5492	565	7	:	:	PUNCT
cana-5492	565	8	1074	1074	NUM
cana-5492	565	9	-	-	PUNCT
cana-5492	565	10	133x	133x	NUM
cana-5492	565	11	vol	vol	VERB
cana-5492	565	12	32	32	NUM
cana-5492	565	13	no	no	NOUN
cana-5492	565	14	.	.	PUNCT
cana-5492	566	1	10s	10	NOUN
cana-5492	566	2	(	(	PUNCT
cana-5492	566	3	2025	2025	NUM
cana-5492	566	4	)	)	PUNCT
cana-5492	566	5	2463	2463	NUM
cana-5492	566	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	566	7	2	2	NUM
cana-5492	566	8	.	.	PUNCT
cana-5492	567	1	if	if	SCONJ
cana-5492	567	2	ℋ	ℋ	PROPN
cana-5492	567	3	∘	∘	PROPN
cana-5492	567	4	𝒢	𝒢	PROPN
cana-5492	567	5	is	be	AUX
cana-5492	567	6	nso	nso	NOUN
cana-5492	567	7	and	and	CCONJ
cana-5492	567	8	ℋ	ℋ	PROPN
cana-5492	567	9	is	be	AUX
cana-5492	567	10	nscontrazcts	nscontrazct	NOUN
cana-5492	567	11	,	,	PUNCT
cana-5492	567	12	then	then	ADV
cana-5492	567	13	ℋ	ℋ	PROPN
cana-5492	567	14	is	be	AUX
cana-5492	567	15	nscontrazo	nscontrazo	ADJ
cana-5492	567	16	.	.	PUNCT
cana-5492	568	1	proof	proof	NOUN
cana-5492	568	2	.	.	PUNCT
cana-5492	569	1	the	the	DET
cana-5492	569	2	proof	proof	NOUN
cana-5492	569	3	is	be	AUX
cana-5492	569	4	obvious	obvious	ADJ
cana-5492	569	5	from	from	ADP
cana-5492	569	6	definition	definition	NOUN
cana-5492	569	7	5.1	5.1	NUM
cana-5492	569	8	,	,	PUNCT
cana-5492	569	9	definitions	definition	NOUN
cana-5492	569	10	of	of	ADP
cana-5492	569	11	neutrosophic	neutrosophic	ADJ
cana-5492	569	12	soft	soft	ADJ
cana-5492	569	13	z	z	NOUN
cana-5492	569	14	continuous	continuous	ADJ
cana-5492	569	15	function	function	NOUN
cana-5492	569	16	,	,	PUNCT
cana-5492	569	17	definition	definition	NOUN
cana-5492	569	18	of	of	ADP
cana-5492	569	19	neutrosophic	neutrosophic	ADJ
cana-5492	569	20	soft	soft	ADJ
cana-5492	569	21	z	z	NOUN
cana-5492	569	22	open	open	ADJ
cana-5492	569	23	mapping	mapping	NOUN
cana-5492	569	24	and	and	CCONJ
cana-5492	569	25	definitions	definition	NOUN
cana-5492	569	26	3.1	3.1	NUM
cana-5492	569	27	.	.	NOUN
cana-5492	569	28	8	8	NUM
cana-5492	569	29	neutrosophicsoftcontraz	neutrosophicsoftcontraz	NOUN
cana-5492	569	30	-	-	PUNCT
cana-5492	569	31	chomeomorphism	chomeomorphism	NOUN
cana-5492	569	32	definition	definition	NOUN
cana-5492	569	33	8.1	8.1	NUM
cana-5492	569	34	a	a	DET
cana-5492	569	35	bijection	bijection	ADJ
cana-5492	569	36	𝒢	𝒢	NOUN
cana-5492	569	37	:	:	PUNCT
cana-5492	569	38	(	(	PUNCT
cana-5492	569	39	𝕎	𝕎	PROPN
cana-5492	569	40	,	,	PUNCT
cana-5492	569	41	τ	τ	PROPN
cana-5492	569	42	,	,	PUNCT
cana-5492	569	43	ϱ	ϱ	PROPN
cana-5492	569	44	)	)	PUNCT
cana-5492	569	45	→	→	SYM
cana-5492	569	46	(	(	PUNCT
cana-5492	569	47	𝕋	𝕋	PROPN
cana-5492	569	48	,	,	PUNCT
cana-5492	569	49	σ	σ	PROPN
cana-5492	569	50	,	,	PUNCT
cana-5492	569	51	ϱ	ϱ	NOUN
cana-5492	569	52	)	)	PUNCT
cana-5492	569	53	is	be	AUX
cana-5492	569	54	called	call	VERB
cana-5492	569	55	a	a	DET
cana-5492	569	56	neutrosophic	neutrosophic	ADJ
cana-5492	569	57	soft	soft	ADJ
cana-5492	569	58	contrazchomeomorphism	contrazchomeomorphism	NOUN
cana-5492	569	59	(	(	PUNCT
cana-5492	569	60	briefly	briefly	ADV
cana-5492	569	61	,	,	PUNCT
cana-5492	569	62	nscontrazchom	nscontrazchom	ADV
cana-5492	569	63	)	)	PUNCT
cana-5492	569	64	if	if	SCONJ
cana-5492	569	65	𝒢	𝒢	PROPN
cana-5492	569	66	and	and	CCONJ
cana-5492	569	67	𝒢	𝒢	PROPN
cana-5492	569	68	−1	−1	NOUN
cana-5492	569	69	are	be	AUX
cana-5492	569	70	nscontraz	nscontraz	NOUN
cana-5492	569	71	-	-	PUNCT
cana-5492	569	72	irr	irr	NOUN
cana-5492	569	73	mappings	mapping	NOUN
cana-5492	569	74	.	.	PUNCT
cana-5492	570	1	theorem	theorem	VERB
cana-5492	570	2	8.1	8.1	NUM
cana-5492	570	3	each	each	DET
cana-5492	570	4	nscontrazchom	nscontrazchom	NOUN
cana-5492	570	5	is	be	AUX
cana-5492	570	6	a	a	DET
cana-5492	570	7	nscontrazhom	nscontrazhom	NOUN
cana-5492	570	8	.	.	PUNCT
cana-5492	571	1	but	but	CCONJ
cana-5492	571	2	the	the	DET
cana-5492	571	3	converse	converse	NOUN
cana-5492	571	4	not	not	PART
cana-5492	571	5	true	true	ADJ
cana-5492	571	6	.	.	PUNCT
cana-5492	572	1	proof	proof	NOUN
cana-5492	572	2	.	.	PUNCT
cana-5492	573	1	:	:	PUNCT
cana-5492	573	2	consider	consider	VERB
cana-5492	573	3	a	a	DET
cana-5492	573	4	nsos(s	nsos(s	PROPN
cana-5492	573	5	,	,	PUNCT
cana-5492	573	6	ϱ	ϱ	NOUN
cana-5492	573	7	)	)	PUNCT
cana-5492	573	8	in	in	ADP
cana-5492	573	9	(	(	PUNCT
cana-5492	573	10	𝕋	𝕋	PROPN
cana-5492	573	11	,	,	PUNCT
cana-5492	573	12	σ	σ	PROPN
cana-5492	573	13	,	,	PUNCT
cana-5492	573	14	ϱ	ϱ	NOUN
cana-5492	573	15	)	)	PUNCT
cana-5492	573	16	.	.	PUNCT
cana-5492	574	1	then	then	ADV
cana-5492	574	2	,	,	PUNCT
cana-5492	574	3	(	(	PUNCT
cana-5492	574	4	s	s	X
cana-5492	574	5	,	,	PUNCT
cana-5492	574	6	ϱ	ϱ	NOUN
cana-5492	574	7	)	)	PUNCT
cana-5492	574	8	is	be	AUX
cana-5492	574	9	a	a	DET
cana-5492	574	10	nszos	nszos	NOUN
cana-5492	574	11	in	in	ADP
cana-5492	574	12	(	(	PUNCT
cana-5492	574	13	𝕋	𝕋	PROPN
cana-5492	574	14	,	,	PUNCT
cana-5492	574	15	σ	σ	PROPN
cana-5492	574	16	,	,	PUNCT
cana-5492	574	17	ϱ	ϱ	NOUN
cana-5492	574	18	)	)	PUNCT
cana-5492	574	19	.	.	PUNCT
cana-5492	575	1	by	by	ADP
cana-5492	575	2	presumption	presumption	NOUN
cana-5492	575	3	,	,	PUNCT
cana-5492	575	4	𝒢	𝒢	ADJ
cana-5492	575	5	−1	−1	NOUN
cana-5492	575	6	(	(	PUNCT
cana-5492	575	7	s	s	PROPN
cana-5492	575	8	,	,	PUNCT
cana-5492	575	9	ϱ	ϱ	NOUN
cana-5492	575	10	)	)	PUNCT
cana-5492	575	11	is	be	AUX
cana-5492	575	12	a	a	DET
cana-5492	575	13	nszcs	nszcs	NOUN
cana-5492	575	14	in	in	ADP
cana-5492	575	15	(	(	PUNCT
cana-5492	575	16	𝕎	𝕎	PROPN
cana-5492	575	17	,	,	PUNCT
cana-5492	575	18	τ	τ	PROPN
cana-5492	575	19	,	,	PUNCT
cana-5492	575	20	ϱ	ϱ	NOUN
cana-5492	575	21	)	)	PUNCT
cana-5492	575	22	.	.	PUNCT
cana-5492	576	1	therefore	therefore	ADV
cana-5492	576	2	,	,	PUNCT
cana-5492	576	3	𝒢	𝒢	PROPN
cana-5492	576	4	is	be	AUX
cana-5492	576	5	a	a	DET
cana-5492	576	6	nscontrazcts	nscontrazcts	ADJ
cana-5492	576	7	mapping	mapping	NOUN
cana-5492	576	8	.	.	PUNCT
cana-5492	577	1	so	so	ADV
cana-5492	577	2	𝒢	𝒢	PROPN
cana-5492	577	3	and	and	CCONJ
cana-5492	577	4	𝒢	𝒢	PROPN
cana-5492	577	5	−1	−1	NOUN
cana-5492	577	6	are	be	AUX
cana-5492	577	7	nscontrazcts	nscontrazct	NOUN
cana-5492	577	8	mapping	mapping	NOUN
cana-5492	577	9	.	.	PUNCT
cana-5492	578	1	thus	thus	ADV
cana-5492	578	2	,	,	PUNCT
cana-5492	578	3	𝒢	𝒢	PROPN
cana-5492	578	4	is	be	AUX
cana-5492	578	5	a	a	DET
cana-5492	578	6	nscontrazhom	nscontrazhom	NOUN
cana-5492	578	7	.	.	PUNCT
cana-5492	578	8	example	example	NOUN
cana-5492	578	9	8.1	8.1	NUM
cana-5492	578	10	let	let	VERB
cana-5492	578	11	𝕎	𝕎	PROPN
cana-5492	578	12	=	=	PRON
cana-5492	578	13	{	{	PUNCT
cana-5492	578	14	𝑤1	𝑤1	PROPN
cana-5492	578	15	,	,	PUNCT
cana-5492	578	16	𝑤2	𝑤2	NOUN
cana-5492	578	17	,	,	PUNCT
cana-5492	578	18	𝑤3	𝑤3	NOUN
cana-5492	578	19	}	}	PUNCT
cana-5492	578	20	=	=	SYM
cana-5492	578	21	{	{	PUNCT
cana-5492	578	22	𝑡1	𝑡1	NOUN
cana-5492	578	23	,	,	PUNCT
cana-5492	578	24	𝑡2	𝑡2	PROPN
cana-5492	578	25	,	,	PUNCT
cana-5492	578	26	𝑡3	𝑡3	PROPN
cana-5492	578	27	}	}	PUNCT
cana-5492	578	28	=	=	SYM
cana-5492	578	29	𝕋	𝕋	PROPN
cana-5492	578	30	,	,	PUNCT
cana-5492	578	31	ϱ	ϱ	NOUN
cana-5492	578	32	=	=	SYM
cana-5492	578	33	{	{	PUNCT
cana-5492	578	34	𝑒1	𝑒1	NOUN
cana-5492	578	35	,	,	PUNCT
cana-5492	578	36	𝑒2	𝑒2	NOUN
cana-5492	578	37	}	}	PUNCT
cana-5492	578	38	and	and	CCONJ
cana-5492	578	39	ns	ns	NUM
cana-5492	578	40	sets	set	NOUN
cana-5492	578	41	(	(	PUNCT
cana-5492	578	42	𝑆1	𝑆1	NOUN
cana-5492	578	43	,	,	PUNCT
cana-5492	578	44	ϱ	ϱ	NOUN
cana-5492	578	45	)	)	PUNCT
cana-5492	578	46	,	,	PUNCT
cana-5492	578	47	(	(	PUNCT
cana-5492	578	48	𝑆2	𝑆2	PROPN
cana-5492	578	49	,	,	PUNCT
cana-5492	578	50	ϱ	ϱ	NOUN
cana-5492	578	51	)	)	PUNCT
cana-5492	578	52	(	(	PUNCT
cana-5492	578	53	𝑆3	𝑆3	PROPN
cana-5492	578	54	,	,	PUNCT
cana-5492	578	55	ϱ	ϱ	NOUN
cana-5492	578	56	)	)	PUNCT
cana-5492	578	57	and	and	CCONJ
cana-5492	578	58	(	(	PUNCT
cana-5492	578	59	𝑆4	𝑆4	PROPN
cana-5492	578	60	,	,	PUNCT
cana-5492	578	61	ϱ	ϱ	NOUN
cana-5492	578	62	)	)	PUNCT
cana-5492	578	63	in	in	ADP
cana-5492	578	64	𝕎	𝕎	PROPN
cana-5492	578	65	and	and	CCONJ
cana-5492	578	66	(	(	PUNCT
cana-5492	578	67	𝑉1,ϱ	𝑉1,ϱ	PROPN
cana-5492	578	68	)	)	PUNCT
cana-5492	578	69	in	in	ADP
cana-5492	578	70	𝕋	𝕋	PRON
cana-5492	578	71	are	be	AUX
cana-5492	578	72	defined	define	VERB
cana-5492	578	73	as	as	ADP
cana-5492	578	74	(	(	PUNCT
cana-5492	578	75	𝑆1	𝑆1	NOUN
cana-5492	578	76	,	,	PUNCT
cana-5492	578	77	𝑒1	𝑒1	NOUN
cana-5492	578	78	)	)	PUNCT
cana-5492	578	79	=	=	SYM
cana-5492	578	80	〈	〈	PROPN
cana-5492	578	81	(	(	PUNCT
cana-5492	578	82	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	578	83	,	,	PUNCT
cana-5492	578	84	0.4	0.4	NUM
cana-5492	578	85	,	,	PUNCT
cana-5492	578	86	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	578	87	0.5	0.5	NUM
cana-5492	578	88	,	,	PUNCT
cana-5492	578	89	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	578	90	0.6	0.6	NUM
cana-5492	578	91	)	)	PUNCT
cana-5492	578	92	,	,	PUNCT
cana-5492	578	93	(	(	PUNCT
cana-5492	578	94	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	578	95	0.5	0.5	NUM
cana-5492	578	96	,	,	PUNCT
cana-5492	578	97	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	578	98	0.4	0.4	NUM
cana-5492	578	99	,	,	PUNCT
cana-5492	578	100	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	578	101	0.8	0.8	NUM
cana-5492	578	102	)	)	PUNCT
cana-5492	578	103	,	,	PUNCT
cana-5492	578	104	(	(	PUNCT
cana-5492	578	105	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	578	106	0.4	0.4	NUM
cana-5492	578	107	,	,	PUNCT
cana-5492	578	108	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	578	109	0.5	0.5	NUM
cana-5492	578	110	,	,	PUNCT
cana-5492	578	111	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	578	112	0.7	0.7	NUM
cana-5492	578	113	)	)	PUNCT
cana-5492	578	114	〉	〉	NOUN
cana-5492	578	115	(	(	PUNCT
cana-5492	578	116	𝑆1	𝑆1	NOUN
cana-5492	578	117	,	,	PUNCT
cana-5492	578	118	𝑒2	𝑒2	NOUN
cana-5492	578	119	)	)	PUNCT
cana-5492	578	120	=	=	PUNCT
cana-5492	578	121	〈	〈	PROPN
cana-5492	578	122	(	(	PUNCT
cana-5492	578	123	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	578	124	,	,	PUNCT
cana-5492	578	125	0.2	0.2	NUM
cana-5492	578	126	,	,	PUNCT
cana-5492	578	127	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	578	128	0.4	0.4	NUM
cana-5492	578	129	,	,	PUNCT
cana-5492	578	130	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	578	131	0.6	0.6	NUM
cana-5492	578	132	)	)	PUNCT
cana-5492	578	133	,	,	PUNCT
cana-5492	578	134	(	(	PUNCT
cana-5492	578	135	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	578	136	0.2	0.2	NUM
cana-5492	578	137	,	,	PUNCT
cana-5492	578	138	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	578	139	0.5	0.5	NUM
cana-5492	578	140	,	,	PUNCT
cana-5492	578	141	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	578	142	0.7	0.7	NUM
cana-5492	578	143	)	)	PUNCT
cana-5492	578	144	,	,	PUNCT
cana-5492	578	145	(	(	PUNCT
cana-5492	578	146	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	578	147	0.2	0.2	NUM
cana-5492	578	148	,	,	PUNCT
cana-5492	578	149	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	578	150	0.5	0.5	NUM
cana-5492	578	151	,	,	PUNCT
cana-5492	578	152	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	578	153	0.8	0.8	NUM
cana-5492	578	154	)	)	PUNCT
cana-5492	578	155	〉	〉	NOUN
cana-5492	578	156	(	(	PUNCT
cana-5492	578	157	𝑆2	𝑆2	PROPN
cana-5492	578	158	,	,	PUNCT
cana-5492	578	159	𝑒1	𝑒1	NOUN
cana-5492	578	160	)	)	PUNCT
cana-5492	578	161	=	=	PUNCT
cana-5492	578	162	〈	〈	PROPN
cana-5492	578	163	(	(	PUNCT
cana-5492	578	164	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	578	165	,	,	PUNCT
cana-5492	578	166	0.5	0.5	NUM
cana-5492	578	167	,	,	PUNCT
cana-5492	578	168	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	578	169	0.5	0.5	NUM
cana-5492	578	170	,	,	PUNCT
cana-5492	578	171	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	578	172	0.6	0.6	NUM
cana-5492	578	173	)	)	PUNCT
cana-5492	578	174	,	,	PUNCT
cana-5492	578	175	(	(	PUNCT
cana-5492	578	176	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	578	177	0.5	0.5	NUM
cana-5492	578	178	,	,	PUNCT
cana-5492	578	179	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	578	180	0.5	0.5	NUM
cana-5492	578	181	,	,	PUNCT
cana-5492	578	182	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	578	183	0.5	0.5	NUM
cana-5492	578	184	)	)	PUNCT
cana-5492	578	185	,	,	PUNCT
cana-5492	578	186	(	(	PUNCT
cana-5492	578	187	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	578	188	0.6	0.6	NUM
cana-5492	578	189	,	,	PUNCT
cana-5492	578	190	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	578	191	0.5	0.5	NUM
cana-5492	578	192	,	,	PUNCT
cana-5492	578	193	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	578	194	0.6	0.6	NUM
cana-5492	578	195	)	)	PUNCT
cana-5492	578	196	〉	〉	NOUN
cana-5492	578	197	(	(	PUNCT
cana-5492	578	198	𝑆2	𝑆2	PROPN
cana-5492	578	199	,	,	PUNCT
cana-5492	578	200	𝑒2	𝑒2	PROPN
cana-5492	578	201	)	)	PUNCT
cana-5492	578	202	=	=	PUNCT
cana-5492	579	1	〈	〈	PROPN
cana-5492	579	2	(	(	PUNCT
cana-5492	579	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	579	4	,	,	PUNCT
cana-5492	579	5	0.4	0.4	NUM
cana-5492	579	6	,	,	PUNCT
cana-5492	579	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	579	8	0.6	0.6	NUM
cana-5492	579	9	,	,	PUNCT
cana-5492	579	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	579	11	0.6	0.6	NUM
cana-5492	579	12	)	)	PUNCT
cana-5492	579	13	,	,	PUNCT
cana-5492	579	14	(	(	PUNCT
cana-5492	579	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	579	16	0.3	0.3	NUM
cana-5492	579	17	,	,	PUNCT
cana-5492	579	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	579	19	0.5	0.5	NUM
cana-5492	579	20	,	,	PUNCT
cana-5492	579	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	579	22	0.7	0.7	NUM
cana-5492	579	23	)	)	PUNCT
cana-5492	579	24	,	,	PUNCT
cana-5492	579	25	(	(	PUNCT
cana-5492	579	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	579	27	0.3	0.3	NUM
cana-5492	579	28	,	,	PUNCT
cana-5492	579	29	𝜎𝑤3	𝜎𝑤3	ADJ
cana-5492	579	30	0.7	0.7	NUM
cana-5492	579	31	,	,	PUNCT
cana-5492	579	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	579	33	0.4	0.4	NUM
cana-5492	579	34	)	)	PUNCT
cana-5492	579	35	〉	〉	NOUN
cana-5492	579	36	(	(	PUNCT
cana-5492	579	37	𝑆3	𝑆3	PROPN
cana-5492	579	38	,	,	PUNCT
cana-5492	579	39	𝑒1	𝑒1	NOUN
cana-5492	579	40	)	)	PUNCT
cana-5492	579	41	=	=	PUNCT
cana-5492	580	1	〈	〈	PROPN
cana-5492	580	2	(	(	PUNCT
cana-5492	580	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	580	4	,	,	PUNCT
cana-5492	580	5	0.3	0.3	NUM
cana-5492	580	6	,	,	PUNCT
cana-5492	580	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	580	8	0.4	0.4	NUM
cana-5492	580	9	,	,	PUNCT
cana-5492	580	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	580	11	0.7	0.7	NUM
cana-5492	580	12	)	)	PUNCT
cana-5492	580	13	,	,	PUNCT
cana-5492	580	14	(	(	PUNCT
cana-5492	580	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	580	16	0.1	0.1	NUM
cana-5492	580	17	,	,	PUNCT
cana-5492	580	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	580	19	0.3	0.3	NUM
cana-5492	580	20	,	,	PUNCT
cana-5492	580	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	580	22	0.8	0.8	NUM
cana-5492	580	23	)	)	PUNCT
cana-5492	580	24	,	,	PUNCT
cana-5492	580	25	(	(	PUNCT
cana-5492	580	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	580	27	0.2	0.2	NUM
cana-5492	580	28	,	,	PUNCT
cana-5492	580	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	580	30	0.3	0.3	NUM
cana-5492	580	31	,	,	PUNCT
cana-5492	580	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	580	33	0.8	0.8	NUM
cana-5492	580	34	)	)	PUNCT
cana-5492	580	35	〉	〉	NOUN
cana-5492	580	36	(	(	PUNCT
cana-5492	580	37	𝑆3	𝑆3	PROPN
cana-5492	580	38	,	,	PUNCT
cana-5492	580	39	𝑒2	𝑒2	PROPN
cana-5492	580	40	)	)	PUNCT
cana-5492	580	41	=	=	PUNCT
cana-5492	581	1	〈	〈	PROPN
cana-5492	581	2	(	(	PUNCT
cana-5492	581	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	581	4	,	,	PUNCT
cana-5492	581	5	0.1	0.1	NUM
cana-5492	581	6	,	,	PUNCT
cana-5492	581	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	581	8	0.3	0.3	NUM
cana-5492	581	9	,	,	PUNCT
cana-5492	581	10	𝜈𝑤1	𝜈𝑤1	VERB
cana-5492	581	11	0.7	0.7	NUM
cana-5492	581	12	)	)	PUNCT
cana-5492	581	13	,	,	PUNCT
cana-5492	581	14	(	(	PUNCT
cana-5492	581	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	581	16	0.1	0.1	NUM
cana-5492	581	17	,	,	PUNCT
cana-5492	581	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	581	19	0.5	0.5	NUM
cana-5492	581	20	,	,	PUNCT
cana-5492	581	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	581	22	0.8	0.8	NUM
cana-5492	581	23	)	)	PUNCT
cana-5492	581	24	,	,	PUNCT
cana-5492	581	25	(	(	PUNCT
cana-5492	581	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	581	27	0.1	0.1	NUM
cana-5492	581	28	,	,	PUNCT
cana-5492	581	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	581	30	0.5	0.5	NUM
cana-5492	581	31	,	,	PUNCT
cana-5492	581	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	581	33	0.9	0.9	NUM
cana-5492	581	34	)	)	PUNCT
cana-5492	581	35	〉	〉	NOUN
cana-5492	581	36	(	(	PUNCT
cana-5492	581	37	𝑆4	𝑆4	PROPN
cana-5492	581	38	,	,	PUNCT
cana-5492	581	39	𝑒1	𝑒1	NOUN
cana-5492	581	40	)	)	PUNCT
cana-5492	581	41	=	=	SYM
cana-5492	581	42	〈	〈	PROPN
cana-5492	581	43	(	(	PUNCT
cana-5492	581	44	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	581	45	,	,	PUNCT
cana-5492	581	46	0.6	0.6	NUM
cana-5492	581	47	,	,	PUNCT
cana-5492	581	48	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	581	49	0.5	0.5	NUM
cana-5492	581	50	,	,	PUNCT
cana-5492	581	51	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	581	52	0.5	0.5	NUM
cana-5492	581	53	)	)	PUNCT
cana-5492	581	54	,	,	PUNCT
cana-5492	581	55	(	(	PUNCT
cana-5492	581	56	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	581	57	0.5	0.5	NUM
cana-5492	581	58	,	,	PUNCT
cana-5492	581	59	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	581	60	0.5	0.5	NUM
cana-5492	581	61	,	,	PUNCT
cana-5492	581	62	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	581	63	0.5	0.5	NUM
cana-5492	581	64	)	)	PUNCT
cana-5492	581	65	,	,	PUNCT
cana-5492	581	66	(	(	PUNCT
cana-5492	581	67	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	581	68	0.6	0.6	NUM
cana-5492	581	69	,	,	PUNCT
cana-5492	581	70	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	581	71	0.5	0.5	NUM
cana-5492	581	72	,	,	PUNCT
cana-5492	581	73	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	581	74	0.6	0.6	NUM
cana-5492	581	75	)	)	PUNCT
cana-5492	581	76	〉	〉	NOUN
cana-5492	581	77	(	(	PUNCT
cana-5492	581	78	𝑆4	𝑆4	PROPN
cana-5492	581	79	,	,	PUNCT
cana-5492	581	80	𝑒2	𝑒2	PROPN
cana-5492	581	81	)	)	PUNCT
cana-5492	581	82	=	=	PUNCT
cana-5492	582	1	〈	〈	PROPN
cana-5492	582	2	(	(	PUNCT
cana-5492	582	3	𝜇𝑤1	𝜇𝑤1	NOUN
cana-5492	582	4	,	,	PUNCT
cana-5492	582	5	0.6	0.6	NUM
cana-5492	582	6	,	,	PUNCT
cana-5492	582	7	𝜎𝑤1	𝜎𝑤1	PRON
cana-5492	582	8	0.4	0.4	NUM
cana-5492	582	9	,	,	PUNCT
cana-5492	582	10	𝜈𝑤1	𝜈𝑤1	NOUN
cana-5492	582	11	0.4	0.4	NUM
cana-5492	582	12	)	)	PUNCT
cana-5492	582	13	,	,	PUNCT
cana-5492	582	14	(	(	PUNCT
cana-5492	582	15	𝜇𝑤2	𝜇𝑤2	NOUN
cana-5492	582	16	0.7	0.7	NUM
cana-5492	582	17	,	,	PUNCT
cana-5492	582	18	𝜎𝑤2	𝜎𝑤2	NOUN
cana-5492	582	19	0.5	0.5	NUM
cana-5492	582	20	,	,	PUNCT
cana-5492	582	21	𝜈𝑤2	𝜈𝑤2	ADV
cana-5492	582	22	0.3	0.3	NUM
cana-5492	582	23	)	)	PUNCT
cana-5492	582	24	,	,	PUNCT
cana-5492	582	25	(	(	PUNCT
cana-5492	582	26	𝜇𝑤3	𝜇𝑤3	NOUN
cana-5492	582	27	0.4	0.4	NUM
cana-5492	582	28	,	,	PUNCT
cana-5492	582	29	𝜎𝑤3	𝜎𝑤3	NOUN
cana-5492	582	30	0.3	0.3	NUM
cana-5492	582	31	,	,	PUNCT
cana-5492	582	32	𝜈𝑤3	𝜈𝑤3	VERB
cana-5492	582	33	0.3	0.3	NUM
cana-5492	582	34	)	)	PUNCT
cana-5492	582	35	〉	〉	NOUN
cana-5492	582	36	(	(	PUNCT
cana-5492	582	37	𝑉1	𝑉1	NOUN
cana-5492	582	38	,	,	PUNCT
cana-5492	582	39	𝑒1	𝑒1	NOUN
cana-5492	582	40	)	)	PUNCT
cana-5492	582	41	=	=	SYM
cana-5492	583	1	〈	〈	PROPN
cana-5492	583	2	(	(	PUNCT
cana-5492	583	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	583	4	,	,	PUNCT
cana-5492	583	5	0.4	0.4	NUM
cana-5492	583	6	,	,	PUNCT
cana-5492	583	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	583	8	0.5	0.5	NUM
cana-5492	583	9	,	,	PUNCT
cana-5492	583	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	583	11	0.6	0.6	NUM
cana-5492	583	12	)	)	PUNCT
cana-5492	583	13	,	,	PUNCT
cana-5492	583	14	(	(	PUNCT
cana-5492	583	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	583	16	0.5	0.5	NUM
cana-5492	583	17	,	,	PUNCT
cana-5492	583	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	583	19	0.4	0.4	NUM
cana-5492	583	20	,	,	PUNCT
cana-5492	583	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	583	22	0.8	0.8	NUM
cana-5492	583	23	)	)	PUNCT
cana-5492	583	24	,	,	PUNCT
cana-5492	583	25	(	(	PUNCT
cana-5492	583	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	583	27	0.4	0.4	NUM
cana-5492	583	28	,	,	PUNCT
cana-5492	583	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	583	30	0.5	0.5	NUM
cana-5492	583	31	,	,	PUNCT
cana-5492	583	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	583	33	0.7	0.7	NUM
cana-5492	583	34	)	)	PUNCT
cana-5492	583	35	〉	〉	NOUN
cana-5492	583	36	(	(	PUNCT
cana-5492	583	37	𝑉1	𝑉1	PROPN
cana-5492	583	38	,	,	PUNCT
cana-5492	583	39	𝑒2	𝑒2	NOUN
cana-5492	583	40	)	)	PUNCT
cana-5492	583	41	=	=	PUNCT
cana-5492	584	1	〈	〈	PROPN
cana-5492	584	2	(	(	PUNCT
cana-5492	584	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	584	4	,	,	PUNCT
cana-5492	584	5	0.2	0.2	NUM
cana-5492	584	6	,	,	PUNCT
cana-5492	584	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	584	8	0.4	0.4	NUM
cana-5492	584	9	,	,	PUNCT
cana-5492	584	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	584	11	0.6	0.6	NUM
cana-5492	584	12	)	)	PUNCT
cana-5492	584	13	,	,	PUNCT
cana-5492	584	14	(	(	PUNCT
cana-5492	584	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	584	16	0.2	0.2	NUM
cana-5492	584	17	,	,	PUNCT
cana-5492	584	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	584	19	0.5	0.5	NUM
cana-5492	584	20	,	,	PUNCT
cana-5492	584	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	584	22	0.7	0.7	NUM
cana-5492	584	23	)	)	PUNCT
cana-5492	584	24	,	,	PUNCT
cana-5492	584	25	(	(	PUNCT
cana-5492	584	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	584	27	0.2	0.2	NUM
cana-5492	584	28	,	,	PUNCT
cana-5492	584	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	584	30	0.5	0.5	NUM
cana-5492	584	31	,	,	PUNCT
cana-5492	584	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	584	33	0.8	0.8	NUM
cana-5492	584	34	)	)	PUNCT
cana-5492	584	35	〉	〉	NOUN
cana-5492	584	36	(	(	PUNCT
cana-5492	584	37	𝑉2	𝑉2	PROPN
cana-5492	584	38	,	,	PUNCT
cana-5492	584	39	𝑒1	𝑒1	NOUN
cana-5492	584	40	)	)	PUNCT
cana-5492	584	41	=	=	SYM
cana-5492	585	1	〈	〈	PROPN
cana-5492	585	2	(	(	PUNCT
cana-5492	585	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	585	4	,	,	PUNCT
cana-5492	585	5	0.6	0.6	NUM
cana-5492	585	6	,	,	PUNCT
cana-5492	585	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	585	8	0.5	0.5	NUM
cana-5492	585	9	,	,	PUNCT
cana-5492	585	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	585	11	0.5	0.5	NUM
cana-5492	585	12	)	)	PUNCT
cana-5492	585	13	,	,	PUNCT
cana-5492	585	14	(	(	PUNCT
cana-5492	585	15	𝜇𝑡2	𝜇𝑡2	X
cana-5492	585	16	0.5	0.5	NUM
cana-5492	585	17	,	,	PUNCT
cana-5492	585	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	585	19	0.5	0.5	NUM
cana-5492	585	20	,	,	PUNCT
cana-5492	585	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	585	22	0.5	0.5	NUM
cana-5492	585	23	)	)	PUNCT
cana-5492	585	24	,	,	PUNCT
cana-5492	585	25	(	(	PUNCT
cana-5492	585	26	𝜇𝑡3	𝜇𝑡3	X
cana-5492	585	27	0.6	0.6	NUM
cana-5492	585	28	,	,	PUNCT
cana-5492	585	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	585	30	0.5	0.5	NUM
cana-5492	585	31	,	,	PUNCT
cana-5492	585	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	585	33	0.6	0.6	NUM
cana-5492	585	34	)	)	PUNCT
cana-5492	585	35	〉	〉	NOUN
cana-5492	585	36	(	(	PUNCT
cana-5492	585	37	𝑉2	𝑉2	PROPN
cana-5492	585	38	,	,	PUNCT
cana-5492	585	39	𝑒2	𝑒2	PROPN
cana-5492	585	40	)	)	PUNCT
cana-5492	585	41	=	=	PUNCT
cana-5492	586	1	〈	〈	PROPN
cana-5492	586	2	(	(	PUNCT
cana-5492	586	3	𝜇𝑡1	𝜇𝑡1	NOUN
cana-5492	586	4	,	,	PUNCT
cana-5492	586	5	0.6	0.6	NUM
cana-5492	586	6	,	,	PUNCT
cana-5492	586	7	𝜎𝑡1	𝜎𝑡1	NUM
cana-5492	586	8	0.4	0.4	NUM
cana-5492	586	9	,	,	PUNCT
cana-5492	586	10	𝜈𝑡1	𝜈𝑡1	NOUN
cana-5492	586	11	0.4	0.4	NUM
cana-5492	586	12	)	)	PUNCT
cana-5492	586	13	,	,	PUNCT
cana-5492	586	14	(	(	PUNCT
cana-5492	586	15	𝜇𝑡2	𝜇𝑡2	PROPN
cana-5492	586	16	0.7	0.7	NUM
cana-5492	586	17	,	,	PUNCT
cana-5492	586	18	𝜎𝑡2	𝜎𝑡2	NOUN
cana-5492	586	19	0.5	0.5	NUM
cana-5492	586	20	,	,	PUNCT
cana-5492	586	21	𝜈𝑡2	𝜈𝑡2	NOUN
cana-5492	586	22	0.3	0.3	NUM
cana-5492	586	23	)	)	PUNCT
cana-5492	586	24	,	,	PUNCT
cana-5492	586	25	(	(	PUNCT
cana-5492	586	26	𝜇𝑡3	𝜇𝑡3	PROPN
cana-5492	586	27	0.4	0.4	NUM
cana-5492	586	28	,	,	PUNCT
cana-5492	586	29	𝜎𝑡3	𝜎𝑡3	NOUN
cana-5492	586	30	0.3	0.3	NUM
cana-5492	586	31	,	,	PUNCT
cana-5492	586	32	𝜈𝑡3	𝜈𝑡3	NOUN
cana-5492	586	33	0.3	0.3	NUM
cana-5492	586	34	)	)	PUNCT
cana-5492	586	35	〉	〉	NOUN
cana-5492	586	36	here	here	ADV
cana-5492	586	37	,	,	PUNCT
cana-5492	586	38	we	we	PRON
cana-5492	586	39	have	have	VERB
cana-5492	586	40	τ	τ	X
cana-5492	586	41	=	=	SYM
cana-5492	586	42	{	{	PUNCT
cana-5492	586	43	0(𝕎	0(𝕎	INTJ
cana-5492	586	44	,	,	PUNCT
cana-5492	586	45	𝜚	𝜚	NOUN
cana-5492	586	46	)	)	PUNCT
cana-5492	586	47	,	,	PUNCT
cana-5492	586	48	1(𝕎	1(𝕎	INTJ
cana-5492	586	49	,	,	PUNCT
cana-5492	586	50	𝜚	𝜚	NOUN
cana-5492	586	51	)	)	PUNCT
cana-5492	586	52	,	,	PUNCT
cana-5492	586	53	(	(	PUNCT
cana-5492	586	54	𝑆1	𝑆1	PROPN
cana-5492	586	55	,	,	PUNCT
cana-5492	586	56	ϱ	ϱ	NOUN
cana-5492	586	57	)	)	PUNCT
cana-5492	586	58	,	,	PUNCT
cana-5492	586	59	(	(	PUNCT
cana-5492	586	60	𝑆2	𝑆2	PROPN
cana-5492	586	61	,	,	PUNCT
cana-5492	586	62	ϱ	ϱ	NOUN
cana-5492	586	63	)	)	PUNCT
cana-5492	586	64	,	,	PUNCT
cana-5492	586	65	(	(	PUNCT
cana-5492	586	66	𝑆3	𝑆3	PROPN
cana-5492	586	67	,	,	PUNCT
cana-5492	586	68	ϱ	ϱ	NOUN
cana-5492	586	69	)	)	PUNCT
cana-5492	586	70	}	}	PUNCT
cana-5492	586	71	and	and	CCONJ
cana-5492	586	72	𝜎	𝜎	X
cana-5492	586	73	=	=	X
cana-5492	586	74	{	{	PUNCT
cana-5492	586	75	0(𝕋,𝜚	0(𝕋,𝜚	NOUN
cana-5492	586	76	)	)	PUNCT
cana-5492	586	77	,	,	PUNCT
cana-5492	586	78	1(𝕋,𝜚	1(𝕋,𝜚	NUM
cana-5492	586	79	)	)	PUNCT
cana-5492	586	80	,	,	PUNCT
cana-5492	586	81	(	(	PUNCT
cana-5492	586	82	𝑉1	𝑉1	NOUN
cana-5492	586	83	,	,	PUNCT
cana-5492	586	84	ϱ	ϱ	NOUN
cana-5492	586	85	)	)	PUNCT
cana-5492	586	86	}	}	PUNCT
cana-5492	586	87	.	.	PUNCT
cana-5492	587	1	let	let	VERB
cana-5492	587	2	𝒢	𝒢	NOUN
cana-5492	587	3	:	:	PUNCT
cana-5492	587	4	(	(	PUNCT
cana-5492	587	5	𝕎	𝕎	PROPN
cana-5492	587	6	,	,	PUNCT
cana-5492	587	7	τ	τ	PROPN
cana-5492	587	8	,	,	PUNCT
cana-5492	587	9	ϱ	ϱ	PROPN
cana-5492	587	10	)	)	PUNCT
cana-5492	587	11	→	→	SYM
cana-5492	587	12	(	(	PUNCT
cana-5492	587	13	𝕋	𝕋	PROPN
cana-5492	587	14	,	,	PUNCT
cana-5492	587	15	σ	σ	PROPN
cana-5492	587	16	,	,	PUNCT
cana-5492	587	17	ϱ	ϱ	NOUN
cana-5492	587	18	)	)	PUNCT
cana-5492	587	19	be	be	VERB
cana-5492	587	20	an	an	DET
cana-5492	587	21	identity	identity	NOUN
cana-5492	587	22	mapping	mapping	NOUN
cana-5492	587	23	.	.	PUNCT
cana-5492	588	1	then	then	ADV
cana-5492	588	2	𝒢	𝒢	PROPN
cana-5492	588	3	is	be	AUX
cana-5492	588	4	a	a	DET
cana-5492	588	5	nscontrazhom	nscontrazhom	NOUN
cana-5492	588	6	because	because	SCONJ
cana-5492	588	7	(	(	PUNCT
cana-5492	588	8	𝑆1	𝑆1	PROPN
cana-5492	588	9	,	,	PUNCT
cana-5492	588	10	ϱ	ϱ	NOUN
cana-5492	588	11	)	)	PUNCT
cana-5492	588	12	,	,	PUNCT
cana-5492	588	13	(	(	PUNCT
cana-5492	588	14	𝑆2	𝑆2	PROPN
cana-5492	588	15	,	,	PUNCT
cana-5492	588	16	ϱ	ϱ	NOUN
cana-5492	588	17	)	)	PUNCT
cana-5492	588	18	and	and	CCONJ
cana-5492	588	19	(	(	PUNCT
cana-5492	588	20	𝑆3	𝑆3	PROPN
cana-5492	588	21	,	,	PUNCT
cana-5492	588	22	ϱ	ϱ	NOUN
cana-5492	588	23	)	)	PUNCT
cana-5492	588	24	are	be	AUX
cana-5492	588	25	nsos	nsos	ADJ
cana-5492	588	26	in	in	ADP
cana-5492	588	27	𝕎	𝕎	PROPN
cana-5492	588	28	and	and	CCONJ
cana-5492	588	29	𝒢	𝒢	PROPN
cana-5492	588	30	(	(	PUNCT
cana-5492	588	31	𝑆1	𝑆1	PROPN
cana-5492	588	32	,	,	PUNCT
cana-5492	588	33	ϱ	ϱ	NOUN
cana-5492	588	34	)	)	PUNCT
cana-5492	588	35	,	,	PUNCT
cana-5492	588	36	𝒢(𝑆2	𝒢(𝑆2	NOUN
cana-5492	588	37	,	,	PUNCT
cana-5492	588	38	ϱ	ϱ	NOUN
cana-5492	588	39	)	)	PUNCT
cana-5492	588	40	and	and	CCONJ
cana-5492	588	41	𝒢(𝑆3	𝒢(𝑆3	PROPN
cana-5492	588	42	,	,	PUNCT
cana-5492	588	43	ϱ	ϱ	NOUN
cana-5492	588	44	)	)	PUNCT
cana-5492	588	45	are	be	AUX
cana-5492	588	46	nszcs	nszcs	NOUN
cana-5492	588	47	in	in	ADP
cana-5492	588	48	𝕋.	𝕋.	NOUN
cana-5492	588	49	communications	communication	NOUN
cana-5492	588	50	on	on	ADP
cana-5492	588	51	applied	apply	VERB
cana-5492	588	52	nonlinear	nonlinear	ADJ
cana-5492	588	53	analysis	analysis	NOUN
cana-5492	588	54	issn	issn	NOUN
cana-5492	588	55	:	:	PUNCT
cana-5492	588	56	1074	1074	NUM
cana-5492	588	57	-	-	PUNCT
cana-5492	588	58	133x	133x	NUM
cana-5492	588	59	vol	vol	VERB
cana-5492	588	60	32	32	NUM
cana-5492	588	61	no	no	NOUN
cana-5492	588	62	.	.	PUNCT
cana-5492	589	1	10s	10	NOUN
cana-5492	589	2	(	(	PUNCT
cana-5492	589	3	2025	2025	NUM
cana-5492	589	4	)	)	PUNCT
cana-5492	589	5	2464	2464	NUM
cana-5492	589	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	589	7	also(𝑉1	also(𝑉1	PUNCT
cana-5492	589	8	,	,	PUNCT
cana-5492	589	9	ϱ	ϱ	NOUN
cana-5492	589	10	)	)	PUNCT
cana-5492	589	11	is	be	AUX
cana-5492	589	12	nsos	nsos	ADJ
cana-5492	589	13	in	in	ADP
cana-5492	589	14	𝕋	𝕋	NOUN
cana-5492	589	15	and	and	CCONJ
cana-5492	589	16	𝒢	𝒢	PROPN
cana-5492	589	17	−1	−1	NOUN
cana-5492	589	18	(	(	PUNCT
cana-5492	589	19	𝑉1	𝑉1	PROPN
cana-5492	589	20	,	,	PUNCT
cana-5492	589	21	ϱ	ϱ	NOUN
cana-5492	589	22	)	)	PUNCT
cana-5492	589	23	=	=	SYM
cana-5492	589	24	(	(	PUNCT
cana-5492	589	25	𝑆1	𝑆1	PROPN
cana-5492	589	26	,	,	PUNCT
cana-5492	589	27	ϱ	ϱ	NOUN
cana-5492	589	28	)	)	PUNCT
cana-5492	589	29	is	be	AUX
cana-5492	589	30	nszcs	nszcs	NOUN
cana-5492	589	31	in	in	ADP
cana-5492	589	32	𝕎.	𝕎.	PROPN
cana-5492	589	33	but	but	CCONJ
cana-5492	589	34	𝒢	𝒢	NOUN
cana-5492	589	35	is	be	AUX
cana-5492	589	36	not	not	PART
cana-5492	589	37	nscontrahom	nscontrahom	VERB
cana-5492	589	38	because	because	SCONJ
cana-5492	589	39	𝒢(𝑉2	𝒢(𝑉2	PROPN
cana-5492	589	40	,	,	PUNCT
cana-5492	589	41	ϱ	ϱ	NOUN
cana-5492	589	42	)	)	PUNCT
cana-5492	589	43	is	be	AUX
cana-5492	589	44	nszcs	nszcs	NOUN
cana-5492	589	45	in	in	ADP
cana-5492	589	46	𝕋	𝕋	PROPN
cana-5492	589	47	but	but	CCONJ
cana-5492	589	48	(	(	PUNCT
cana-5492	589	49	𝑉2	𝑉2	PROPN
cana-5492	589	50	,	,	PUNCT
cana-5492	589	51	ϱ	ϱ	NOUN
cana-5492	589	52	)	)	PUNCT
cana-5492	589	53	is	be	AUX
cana-5492	589	54	not	not	PART
cana-5492	589	55	nszos	nszos	ADV
cana-5492	589	56	in	in	ADP
cana-5492	589	57	𝕎.	𝕎.	PROPN
cana-5492	589	58	theorem	theorem	VERB
cana-5492	589	59	8.2	8.2	NUM
cana-5492	589	60	if	if	SCONJ
cana-5492	589	61	𝒢	𝒢	ADJ
cana-5492	589	62	:	:	PUNCT
cana-5492	589	63	(	(	PUNCT
cana-5492	589	64	𝕎	𝕎	PROPN
cana-5492	589	65	,	,	PUNCT
cana-5492	589	66	τ	τ	PROPN
cana-5492	589	67	,	,	PUNCT
cana-5492	589	68	ϱ	ϱ	PROPN
cana-5492	589	69	)	)	PUNCT
cana-5492	589	70	→	→	SYM
cana-5492	589	71	(	(	PUNCT
cana-5492	589	72	𝕋	𝕋	PROPN
cana-5492	589	73	,	,	PUNCT
cana-5492	589	74	σ	σ	PROPN
cana-5492	589	75	,	,	PUNCT
cana-5492	589	76	ϱ	ϱ	NOUN
cana-5492	589	77	)	)	PUNCT
cana-5492	589	78	is	be	AUX
cana-5492	589	79	a	a	DET
cana-5492	589	80	nscontrazchom	nscontrazchom	ADJ
cana-5492	589	81	,	,	PUNCT
cana-5492	589	82	then	then	ADV
cana-5492	589	83	nsint(𝒢	nsint(𝒢	ADJ
cana-5492	589	84	−1	−1	NOUN
cana-5492	589	85	(	(	PUNCT
cana-5492	589	86	s	s	PROPN
cana-5492	589	87	,	,	PUNCT
cana-5492	589	88	ϱ	ϱ	NOUN
cana-5492	589	89	)	)	PUNCT
cana-5492	589	90	)	)	PUNCT
cana-5492	590	1	⊆	⊆	NUM
cana-5492	590	2	𝒢	𝒢	NOUN
cana-5492	590	3	−1	−1	NOUN
cana-5492	590	4	(	(	PUNCT
cana-5492	590	5	nscl(b	nscl(b	PROPN
cana-5492	590	6	,	,	PUNCT
cana-5492	590	7	ϱ	ϱ	NOUN
cana-5492	590	8	)	)	PUNCT
cana-5492	590	9	)	)	PUNCT
cana-5492	590	10	for	for	ADP
cana-5492	590	11	every	every	DET
cana-5492	590	12	nss(s	nss(	NOUN
cana-5492	590	13	,	,	PUNCT
cana-5492	590	14	ϱ	ϱ	NOUN
cana-5492	590	15	)	)	PUNCT
cana-5492	590	16	in	in	ADP
cana-5492	590	17	(	(	PUNCT
cana-5492	590	18	𝕋	𝕋	PROPN
cana-5492	590	19	,	,	PUNCT
cana-5492	590	20	σ	σ	PROPN
cana-5492	590	21	,	,	PUNCT
cana-5492	590	22	ϱ	ϱ	NOUN
cana-5492	590	23	)	)	PUNCT
cana-5492	590	24	.	.	PUNCT
cana-5492	591	1	proof	proof	NOUN
cana-5492	591	2	.	.	PUNCT
cana-5492	592	1	:	:	PUNCT
cana-5492	592	2	consider	consider	VERB
cana-5492	592	3	a	a	DET
cana-5492	592	4	nss(s	nss(s	NOUN
cana-5492	592	5	,	,	PUNCT
cana-5492	592	6	ϱ	ϱ	NOUN
cana-5492	592	7	)	)	PUNCT
cana-5492	592	8	in	in	ADP
cana-5492	592	9	(	(	PUNCT
cana-5492	592	10	𝕋	𝕋	PROPN
cana-5492	592	11	,	,	PUNCT
cana-5492	592	12	σ	σ	PROPN
cana-5492	592	13	,	,	PUNCT
cana-5492	592	14	ϱ	ϱ	NOUN
cana-5492	592	15	)	)	PUNCT
cana-5492	592	16	.	.	PUNCT
cana-5492	593	1	since	since	SCONJ
cana-5492	593	2	nscl(s	nscl(s	PROPN
cana-5492	593	3	,	,	PUNCT
cana-5492	593	4	ϱ	ϱ	NOUN
cana-5492	593	5	)	)	PUNCT
cana-5492	593	6	is	be	AUX
cana-5492	593	7	a	a	DET
cana-5492	593	8	nscs	nscs	NOUN
cana-5492	593	9	in	in	ADP
cana-5492	593	10	(	(	PUNCT
cana-5492	593	11	𝕋	𝕋	PROPN
cana-5492	593	12	,	,	PUNCT
cana-5492	593	13	σ	σ	PROPN
cana-5492	593	14	,	,	PUNCT
cana-5492	593	15	ϱ	ϱ	NOUN
cana-5492	593	16	)	)	PUNCT
cana-5492	593	17	and	and	CCONJ
cana-5492	593	18	every	every	DET
cana-5492	593	19	nscs	nscs	NOUN
cana-5492	593	20	is	be	AUX
cana-5492	593	21	a	a	DET
cana-5492	593	22	nszcs	nszcs	NOUN
cana-5492	593	23	in	in	ADP
cana-5492	593	24	(	(	PUNCT
cana-5492	593	25	𝕋	𝕋	PROPN
cana-5492	593	26	,	,	PUNCT
cana-5492	593	27	σ	σ	PROPN
cana-5492	593	28	,	,	PUNCT
cana-5492	593	29	ϱ	ϱ	NOUN
cana-5492	593	30	)	)	PUNCT
cana-5492	593	31	.	.	PUNCT
cana-5492	594	1	as	as	SCONJ
cana-5492	594	2	𝒢	𝒢	PROPN
cana-5492	594	3	is	be	AUX
cana-5492	594	4	nscontraz	nscontraz	NOUN
cana-5492	594	5	-	-	PUNCT
cana-5492	594	6	irr	irr	NOUN
cana-5492	594	7	,	,	PUNCT
cana-5492	594	8	𝒢	𝒢	PROPN
cana-5492	594	9	−1(nscl(s	−1(nscl(s	NUM
cana-5492	594	10	,	,	PUNCT
cana-5492	594	11	ϱ	ϱ	NOUN
cana-5492	594	12	)	)	PUNCT
cana-5492	594	13	)	)	PUNCT
cana-5492	594	14	is	be	AUX
cana-5492	594	15	a	a	DET
cana-5492	594	16	nszos	nszos	NOUN
cana-5492	594	17	in	in	ADP
cana-5492	594	18	(	(	PUNCT
cana-5492	594	19	𝕎	𝕎	PROPN
cana-5492	594	20	,	,	PUNCT
cana-5492	594	21	τ	τ	PROPN
cana-5492	594	22	,	,	PUNCT
cana-5492	594	23	ϱ	ϱ	NOUN
cana-5492	594	24	)	)	PUNCT
cana-5492	594	25	.	.	PUNCT
cana-5492	595	1	then	then	ADV
cana-5492	595	2	,	,	PUNCT
cana-5492	595	3	nsint(𝒢	nsint(𝒢	NOUN
cana-5492	595	4	−1	−1	NOUN
cana-5492	595	5	(	(	PUNCT
cana-5492	595	6	nscl(s	nscl(s	PROPN
cana-5492	595	7	,	,	PUNCT
cana-5492	595	8	ϱ	ϱ	NOUN
cana-5492	595	9	)	)	PUNCT
cana-5492	595	10	)	)	PUNCT
cana-5492	595	11	)	)	PUNCT
cana-5492	596	1	=	=	PUNCT
cana-5492	596	2	𝒢	𝒢	NOUN
cana-5492	596	3	−1	−1	NOUN
cana-5492	596	4	(	(	PUNCT
cana-5492	596	5	nscl(s	nscl(s	PROPN
cana-5492	596	6	,	,	PUNCT
cana-5492	596	7	ϱ	ϱ	NOUN
cana-5492	596	8	)	)	PUNCT
cana-5492	596	9	)	)	PUNCT
cana-5492	596	10	.	.	PUNCT
cana-5492	597	1	here	here	ADV
cana-5492	597	2	,	,	PUNCT
cana-5492	597	3	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	597	4	−1	−1	NOUN
cana-5492	597	5	(	(	PUNCT
cana-5492	597	6	s	s	PROPN
cana-5492	597	7	,	,	PUNCT
cana-5492	597	8	ϱ	ϱ	NOUN
cana-5492	597	9	)	)	PUNCT
cana-5492	597	10	)	)	PUNCT
cana-5492	598	1	⊆	⊆	NUM
cana-5492	598	2	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	598	3	−1	−1	NOUN
cana-5492	598	4	(	(	PUNCT
cana-5492	598	5	nscl(s	nscl(s	PROPN
cana-5492	598	6	,	,	PUNCT
cana-5492	598	7	ϱ	ϱ	NOUN
cana-5492	598	8	)	)	PUNCT
cana-5492	598	9	)	)	PUNCT
cana-5492	598	10	)	)	PUNCT
cana-5492	599	1	=	=	PUNCT
cana-5492	599	2	𝒢	𝒢	NOUN
cana-5492	599	3	−1	−1	NOUN
cana-5492	599	4	(	(	PUNCT
cana-5492	599	5	nscl(s	nscl(s	PROPN
cana-5492	599	6	,	,	PUNCT
cana-5492	599	7	ϱ	ϱ	NOUN
cana-5492	599	8	)	)	PUNCT
cana-5492	599	9	)	)	PUNCT
cana-5492	599	10	.	.	PUNCT
cana-5492	600	1	therefore	therefore	ADV
cana-5492	600	2	nszint(𝒢	nszint(𝒢	PROPN
cana-5492	600	3	−1(s	−1(s	PROPN
cana-5492	600	4	,	,	PUNCT
cana-5492	600	5	ϱ	ϱ	NOUN
cana-5492	600	6	)	)	PUNCT
cana-5492	600	7	)	)	PUNCT
cana-5492	601	1	⊆	⊆	NUM
cana-5492	601	2	𝒢	𝒢	NOUN
cana-5492	601	3	−1	−1	NOUN
cana-5492	601	4	(	(	PUNCT
cana-5492	601	5	nscl(s	nscl(s	PROPN
cana-5492	601	6	,	,	PUNCT
cana-5492	601	7	ϱ	ϱ	NOUN
cana-5492	601	8	)	)	PUNCT
cana-5492	601	9	)	)	PUNCT
cana-5492	601	10	for	for	ADP
cana-5492	601	11	every	every	DET
cana-5492	601	12	nss(s	nss(	NOUN
cana-5492	601	13	,	,	PUNCT
cana-5492	601	14	ϱ	ϱ	NOUN
cana-5492	601	15	)	)	PUNCT
cana-5492	601	16	in	in	ADP
cana-5492	601	17	(	(	PUNCT
cana-5492	601	18	𝕋	𝕋	PROPN
cana-5492	601	19	,	,	PUNCT
cana-5492	601	20	σ	σ	PROPN
cana-5492	601	21	,	,	PUNCT
cana-5492	601	22	ϱ	ϱ	NOUN
cana-5492	601	23	)	)	PUNCT
cana-5492	601	24	.	.	PUNCT
cana-5492	602	1	theorem	theorem	NOUN
cana-5492	602	2	8.3	8.3	NUM
cana-5492	602	3	let	let	VERB
cana-5492	602	4	𝒢	𝒢	NOUN
cana-5492	602	5	:	:	PUNCT
cana-5492	602	6	(	(	PUNCT
cana-5492	602	7	𝕎	𝕎	PROPN
cana-5492	602	8	,	,	PUNCT
cana-5492	602	9	τ	τ	PROPN
cana-5492	602	10	,	,	PUNCT
cana-5492	602	11	ϱ	ϱ	PROPN
cana-5492	602	12	)	)	PUNCT
cana-5492	602	13	→	→	SYM
cana-5492	602	14	(	(	PUNCT
cana-5492	602	15	𝕋	𝕋	PROPN
cana-5492	602	16	,	,	PUNCT
cana-5492	602	17	σ	σ	PROPN
cana-5492	602	18	,	,	PUNCT
cana-5492	602	19	ϱ	ϱ	NOUN
cana-5492	602	20	)	)	PUNCT
cana-5492	602	21	be	be	VERB
cana-5492	602	22	a	a	DET
cana-5492	602	23	nscontrazchom	nscontrazchom	NOUN
cana-5492	602	24	.	.	PUNCT
cana-5492	603	1	then	then	ADV
cana-5492	603	2	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	603	3	−1	−1	NOUN
cana-5492	603	4	(	(	PUNCT
cana-5492	603	5	s	s	PROPN
cana-5492	603	6	,	,	PUNCT
cana-5492	603	7	ϱ	ϱ	NOUN
cana-5492	603	8	)	)	PUNCT
cana-5492	603	9	)	)	PUNCT
cana-5492	604	1	⊆	⊆	NUM
cana-5492	604	2	𝒢	𝒢	NOUN
cana-5492	604	3	−1	−1	NOUN
cana-5492	604	4	(	(	PUNCT
cana-5492	604	5	nszcl(s	nszcl(s	NOUN
cana-5492	604	6	,	,	PUNCT
cana-5492	604	7	ϱ	ϱ	NOUN
cana-5492	604	8	)	)	PUNCT
cana-5492	604	9	)	)	PUNCT
cana-5492	604	10	for	for	ADP
cana-5492	604	11	every	every	DET
cana-5492	604	12	nss(s	nss(	NOUN
cana-5492	604	13	,	,	PUNCT
cana-5492	604	14	ϱ	ϱ	NOUN
cana-5492	604	15	)	)	PUNCT
cana-5492	604	16	in	in	ADP
cana-5492	604	17	(	(	PUNCT
cana-5492	604	18	𝕋	𝕋	PROPN
cana-5492	604	19	,	,	PUNCT
cana-5492	604	20	σ	σ	PROPN
cana-5492	604	21	,	,	PUNCT
cana-5492	604	22	ϱ	ϱ	NOUN
cana-5492	604	23	)	)	PUNCT
cana-5492	604	24	.	.	PUNCT
cana-5492	605	1	proof	proof	NOUN
cana-5492	605	2	.	.	PUNCT
cana-5492	606	1	:	:	PUNCT
cana-5492	606	2	as	as	SCONJ
cana-5492	606	3	𝒢	𝒢	PROPN
cana-5492	606	4	is	be	AUX
cana-5492	606	5	a	a	DET
cana-5492	606	6	nscontrazchom	nscontrazchom	NOUN
cana-5492	606	7	,	,	PUNCT
cana-5492	606	8	𝒢	𝒢	PROPN
cana-5492	606	9	is	be	AUX
cana-5492	606	10	a	a	DET
cana-5492	606	11	nscontraz	nscontraz	NOUN
cana-5492	606	12	-	-	PUNCT
cana-5492	606	13	irr	irr	NOUN
cana-5492	606	14	mapping	mapping	NOUN
cana-5492	606	15	.	.	PUNCT
cana-5492	607	1	consider	consider	VERB
cana-5492	607	2	a	a	DET
cana-5492	607	3	nss(s	nss(s	NOUN
cana-5492	607	4	,	,	PUNCT
cana-5492	607	5	ϱ	ϱ	NOUN
cana-5492	607	6	)	)	PUNCT
cana-5492	607	7	.	.	PUNCT
cana-5492	608	1	it	it	PRON
cana-5492	608	2	is	be	AUX
cana-5492	608	3	obvious	obvious	ADJ
cana-5492	608	4	that	that	SCONJ
cana-5492	608	5	,	,	PUNCT
cana-5492	608	6	nszcl(s	nszcl(s	PROPN
cana-5492	608	7	,	,	PUNCT
cana-5492	608	8	ϱ	ϱ	NOUN
cana-5492	608	9	)	)	PUNCT
cana-5492	608	10	is	be	AUX
cana-5492	608	11	a	a	DET
cana-5492	608	12	nszcs	nszcs	NOUN
cana-5492	608	13	in	in	ADP
cana-5492	608	14	(	(	PUNCT
cana-5492	608	15	𝕋	𝕋	PROPN
cana-5492	608	16	,	,	PUNCT
cana-5492	608	17	σ	σ	PROPN
cana-5492	608	18	,	,	PUNCT
cana-5492	608	19	ϱ	ϱ	NOUN
cana-5492	608	20	)	)	PUNCT
cana-5492	608	21	.	.	PUNCT
cana-5492	609	1	as	as	ADP
cana-5492	609	2	𝒢	𝒢	PROPN
cana-5492	609	3	−1(s	−1(s	PROPN
cana-5492	609	4	,	,	PUNCT
cana-5492	609	5	ϱ	ϱ	NOUN
cana-5492	609	6	)	)	PUNCT
cana-5492	609	7	⊆	⊆	NUM
cana-5492	609	8	𝒢	𝒢	PROPN
cana-5492	609	9	−1(nszcl(s	−1(nszcl(s	NUM
cana-5492	609	10	,	,	PUNCT
cana-5492	609	11	ϱ	ϱ	NOUN
cana-5492	609	12	)	)	PUNCT
cana-5492	609	13	)	)	PUNCT
cana-5492	609	14	,	,	PUNCT
cana-5492	609	15	we	we	PRON
cana-5492	609	16	have	have	VERB
cana-5492	609	17	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	609	18	−1(s	−1(	NOUN
cana-5492	609	19	,	,	PUNCT
cana-5492	609	20	ϱ	ϱ	NOUN
cana-5492	609	21	)	)	PUNCT
cana-5492	609	22	)	)	PUNCT
cana-5492	610	1	⊆	⊆	NUM
cana-5492	610	2	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	610	3	−1	−1	NOUN
cana-5492	610	4	(	(	PUNCT
cana-5492	610	5	nszcl(s	nszcl(s	PROPN
cana-5492	610	6	,	,	PUNCT
cana-5492	610	7	ϱ	ϱ	NOUN
cana-5492	610	8	)	)	PUNCT
cana-5492	610	9	)	)	PUNCT
cana-5492	610	10	⊆	⊆	NUM
cana-5492	610	11	𝒢	𝒢	NOUN
cana-5492	610	12	−1	−1	NOUN
cana-5492	610	13	(	(	PUNCT
cana-5492	610	14	nszcl(s	nszcl(s	NOUN
cana-5492	610	15	,	,	PUNCT
cana-5492	610	16	ϱ	ϱ	NOUN
cana-5492	610	17	)	)	PUNCT
cana-5492	610	18	)	)	PUNCT
cana-5492	610	19	.	.	PUNCT
cana-5492	611	1	thus	thus	ADV
cana-5492	611	2	,	,	PUNCT
cana-5492	611	3	nszint(𝒢	nszint(𝒢	NOUN
cana-5492	611	4	−1	−1	NOUN
cana-5492	611	5	(	(	PUNCT
cana-5492	611	6	s	s	PROPN
cana-5492	611	7	,	,	PUNCT
cana-5492	611	8	ϱ	ϱ	NOUN
cana-5492	611	9	)	)	PUNCT
cana-5492	611	10	)	)	PUNCT
cana-5492	612	1	⊆	⊆	NUM
cana-5492	612	2	𝒢	𝒢	NOUN
cana-5492	612	3	−1	−1	NOUN
cana-5492	612	4	(	(	PUNCT
cana-5492	612	5	nszcl(s	nszcl(s	NOUN
cana-5492	612	6	,	,	PUNCT
cana-5492	612	7	ϱ	ϱ	NOUN
cana-5492	612	8	)	)	PUNCT
cana-5492	612	9	)	)	PUNCT
cana-5492	612	10	.	.	PUNCT
cana-5492	613	1	theorem	theorem	VERB
cana-5492	613	2	8.4	8.4	NUM
cana-5492	613	3	let	let	VERB
cana-5492	613	4	𝒢	𝒢	NOUN
cana-5492	613	5	:	:	PUNCT
cana-5492	613	6	(	(	PUNCT
cana-5492	613	7	𝕎	𝕎	PROPN
cana-5492	613	8	,	,	PUNCT
cana-5492	613	9	τ	τ	PROPN
cana-5492	613	10	,	,	PUNCT
cana-5492	613	11	ϱ	ϱ	PROPN
cana-5492	613	12	)	)	PUNCT
cana-5492	613	13	→	→	SYM
cana-5492	613	14	(	(	PUNCT
cana-5492	613	15	𝕋	𝕋	PROPN
cana-5492	613	16	,	,	PUNCT
cana-5492	613	17	σ	σ	PROPN
cana-5492	613	18	,	,	PUNCT
cana-5492	613	19	ϱ	ϱ	NOUN
cana-5492	613	20	)	)	PUNCT
cana-5492	613	21	and	and	CCONJ
cana-5492	613	22	ℋ	ℋ	PROPN
cana-5492	613	23	:	:	PUNCT
cana-5492	613	24	(	(	PUNCT
cana-5492	613	25	𝕋	𝕋	PROPN
cana-5492	613	26	,	,	PUNCT
cana-5492	613	27	σ	σ	PROPN
cana-5492	613	28	,	,	PUNCT
cana-5492	613	29	ϱ	ϱ	NOUN
cana-5492	613	30	)	)	PUNCT
cana-5492	613	31	→	→	SYM
cana-5492	613	32	(	(	PUNCT
cana-5492	613	33	𝕌	𝕌	PROPN
cana-5492	613	34	,	,	PUNCT
cana-5492	613	35	ρ	ρ	PROPN
cana-5492	613	36	,	,	PUNCT
cana-5492	613	37	ϱ	ϱ	NOUN
cana-5492	613	38	)	)	PUNCT
cana-5492	613	39	be	be	VERB
cana-5492	613	40	a	a	DET
cana-5492	613	41	nscontrazchom	nscontrazchom	NOUN
cana-5492	613	42	’s	’s	NOUN
cana-5492	613	43	.	.	PUNCT
cana-5492	614	1	then	then	ADV
cana-5492	614	2	ℋ	ℋ	PROPN
cana-5492	614	3	∘	∘	PROPN
cana-5492	614	4	𝒢	𝒢	PROPN
cana-5492	614	5	is	be	AUX
cana-5492	614	6	a	a	DET
cana-5492	614	7	nszchom	nszchom	NOUN
cana-5492	614	8	.	.	PUNCT
cana-5492	615	1	proof	proof	NOUN
cana-5492	615	2	.	.	PUNCT
cana-5492	615	3	:	:	PUNCT
cana-5492	615	4	assume	assume	VERB
cana-5492	615	5	that	that	SCONJ
cana-5492	615	6	𝒢	𝒢	PROPN
cana-5492	615	7	and	and	CCONJ
cana-5492	615	8	ℋ	ℋ	PROPN
cana-5492	615	9	are	be	AUX
cana-5492	615	10	two	two	NUM
cana-5492	615	11	nscontrazchom	nscontrazchom	NOUN
cana-5492	615	12	’s	’s	ADV
cana-5492	615	13	.	.	PUNCT
cana-5492	616	1	let	let	VERB
cana-5492	616	2	(	(	PUNCT
cana-5492	616	3	s	s	X
cana-5492	616	4	,	,	PUNCT
cana-5492	616	5	ϱ	ϱ	NOUN
cana-5492	616	6	)	)	PUNCT
cana-5492	616	7	be	be	VERB
cana-5492	616	8	a	a	DET
cana-5492	616	9	nszcs	nszcs	NOUN
cana-5492	616	10	in	in	ADP
cana-5492	616	11	(	(	PUNCT
cana-5492	616	12	𝕌	𝕌	PROPN
cana-5492	616	13	,	,	PUNCT
cana-5492	616	14	ρ	ρ	PROPN
cana-5492	616	15	,	,	PUNCT
cana-5492	616	16	ϱ	ϱ	NOUN
cana-5492	616	17	)	)	PUNCT
cana-5492	616	18	.	.	PUNCT
cana-5492	617	1	then	then	ADV
cana-5492	617	2	,	,	PUNCT
cana-5492	617	3	ℋ−1(s	ℋ−1(s	PROPN
cana-5492	617	4	,	,	PUNCT
cana-5492	617	5	ϱ	ϱ	NOUN
cana-5492	617	6	)	)	PUNCT
cana-5492	617	7	is	be	AUX
cana-5492	617	8	a	a	DET
cana-5492	617	9	nszos	nszos	NOUN
cana-5492	617	10	in	in	ADP
cana-5492	617	11	(	(	PUNCT
cana-5492	617	12	𝕋	𝕋	PROPN
cana-5492	617	13	,	,	PUNCT
cana-5492	617	14	σ	σ	PROPN
cana-5492	617	15	,	,	PUNCT
cana-5492	617	16	ϱ	ϱ	NOUN
cana-5492	617	17	)	)	PUNCT
cana-5492	617	18	.	.	PUNCT
cana-5492	618	1	by	by	ADP
cana-5492	618	2	presumption	presumption	NOUN
cana-5492	618	3	,	,	PUNCT
cana-5492	618	4	𝒢−1((ℋ−1((s	𝒢−1((ℋ−1((s	NUM
cana-5492	618	5	,	,	PUNCT
cana-5492	618	6	ϱ	ϱ	NOUN
cana-5492	618	7	)	)	PUNCT
cana-5492	618	8	)	)	PUNCT
cana-5492	618	9	is	be	AUX
cana-5492	618	10	a	a	DET
cana-5492	618	11	nszcs	nszcs	NOUN
cana-5492	618	12	in	in	ADP
cana-5492	618	13	(	(	PUNCT
cana-5492	618	14	𝕎	𝕎	PROPN
cana-5492	618	15	,	,	PUNCT
cana-5492	618	16	τ	τ	PROPN
cana-5492	618	17	,	,	PUNCT
cana-5492	618	18	ϱ	ϱ	NOUN
cana-5492	618	19	)	)	PUNCT
cana-5492	618	20	.	.	PUNCT
cana-5492	619	1	therefore,(ℋ	therefore,(ℋ	NOUN
cana-5492	619	2	∘	∘	NUM
cana-5492	619	3	𝒢	𝒢	NOUN
cana-5492	619	4	)	)	PUNCT
cana-5492	619	5	−1	−1	NOUN
cana-5492	619	6	is	be	AUX
cana-5492	619	7	a	a	DET
cana-5492	619	8	nsz	nsz	ADJ
cana-5492	619	9	-	-	PUNCT
cana-5492	619	10	irr	irr	NOUN
cana-5492	619	11	mapping	mapping	NOUN
cana-5492	619	12	.	.	PUNCT
cana-5492	620	1	assume	assume	VERB
cana-5492	620	2	(	(	PUNCT
cana-5492	620	3	b	b	NOUN
cana-5492	620	4	,	,	PUNCT
cana-5492	620	5	ϱ	ϱ	NOUN
cana-5492	620	6	)	)	PUNCT
cana-5492	620	7	is	be	AUX
cana-5492	620	8	nszcs	nszcs	NOUN
cana-5492	620	9	in	in	ADP
cana-5492	620	10	(	(	PUNCT
cana-5492	620	11	𝕎	𝕎	PROPN
cana-5492	620	12	,	,	PUNCT
cana-5492	620	13	τ	τ	PROPN
cana-5492	620	14	,	,	PUNCT
cana-5492	620	15	ϱ	ϱ	NOUN
cana-5492	620	16	)	)	PUNCT
cana-5492	620	17	.	.	PUNCT
cana-5492	621	1	then	then	ADV
cana-5492	621	2	,	,	PUNCT
cana-5492	621	3	by	by	ADP
cana-5492	621	4	hypothesis	hypothesis	NOUN
cana-5492	621	5	,	,	PUNCT
cana-5492	621	6	𝒢	𝒢	PROPN
cana-5492	621	7	(	(	PUNCT
cana-5492	621	8	ℋ	ℋ	PROPN
cana-5492	621	9	)	)	PUNCT
cana-5492	621	10	is	be	AUX
cana-5492	621	11	a	a	DET
cana-5492	621	12	nszos	nszos	NOUN
cana-5492	621	13	in	in	ADP
cana-5492	621	14	(	(	PUNCT
cana-5492	621	15	𝕋	𝕋	PROPN
cana-5492	621	16	,	,	PUNCT
cana-5492	621	17	σ	σ	PROPN
cana-5492	621	18	,	,	PUNCT
cana-5492	621	19	ϱ	ϱ	NOUN
cana-5492	621	20	)	)	PUNCT
cana-5492	621	21	.	.	PUNCT
cana-5492	622	1	hence	hence	ADV
cana-5492	622	2	,	,	PUNCT
cana-5492	622	3	ℋ(𝒢	ℋ(𝒢	X
cana-5492	622	4	(	(	PUNCT
cana-5492	622	5	b	b	NOUN
cana-5492	622	6	,	,	PUNCT
cana-5492	622	7	ϱ	ϱ	NOUN
cana-5492	622	8	)	)	PUNCT
cana-5492	622	9	)	)	PUNCT
cana-5492	622	10	is	be	AUX
cana-5492	622	11	a	a	DET
cana-5492	622	12	nszcs	nszcs	NOUN
cana-5492	622	13	in	in	ADP
cana-5492	622	14	(	(	PUNCT
cana-5492	622	15	𝕌	𝕌	PROPN
cana-5492	622	16	,	,	PUNCT
cana-5492	622	17	ρ	ρ	PROPN
cana-5492	622	18	,	,	PUNCT
cana-5492	622	19	ϱ	ϱ	NOUN
cana-5492	622	20	)	)	PUNCT
cana-5492	622	21	.	.	PUNCT
cana-5492	623	1	this	this	PRON
cana-5492	623	2	implies	imply	VERB
cana-5492	623	3	that	that	SCONJ
cana-5492	623	4	ℋ	ℋ	PROPN
cana-5492	623	5	∘	∘	NOUN
cana-5492	623	6	𝒢	𝒢	PROPN
cana-5492	623	7	is	be	AUX
cana-5492	623	8	nsz	nsz	ADJ
cana-5492	623	9	-	-	PUNCT
cana-5492	623	10	irr	irr	NOUN
cana-5492	623	11	mapping	mapping	NOUN
cana-5492	623	12	.	.	PUNCT
cana-5492	624	1	thus	thus	ADV
cana-5492	624	2	,	,	PUNCT
cana-5492	624	3	ℋ	ℋ	PROPN
cana-5492	624	4	∘	∘	PROPN
cana-5492	624	5	𝒢	𝒢	NOUN
cana-5492	624	6	is	be	AUX
cana-5492	624	7	a	a	DET
cana-5492	624	8	nszchom	nszchom	NOUN
cana-5492	624	9	.	.	PUNCT
cana-5492	625	1	9	9	X
cana-5492	625	2	.	.	X
cana-5492	625	3	conclusion	conclusion	NOUN
cana-5492	625	4	in	in	ADP
cana-5492	625	5	this	this	DET
cana-5492	625	6	paper	paper	NOUN
cana-5492	625	7	,	,	PUNCT
cana-5492	625	8	we	we	PRON
cana-5492	625	9	have	have	AUX
cana-5492	625	10	introduced	introduce	VERB
cana-5492	625	11	and	and	CCONJ
cana-5492	625	12	explored	explore	VERB
cana-5492	625	13	contra	contra	PROPN
cana-5492	625	14	z	z	PROPN
cana-5492	625	15	-	-	PUNCT
cana-5492	625	16	continuous	continuous	ADJ
cana-5492	625	17	,	,	PUNCT
cana-5492	625	18	contra	contra	PROPN
cana-5492	625	19	z	z	PROPN
cana-5492	625	20	-	-	PUNCT
cana-5492	625	21	irresolute	irresolute	PROPN
cana-5492	625	22	,	,	PUNCT
cana-5492	625	23	contra	contra	PROPN
cana-5492	625	24	zopen	zopen	PROPN
cana-5492	625	25	,	,	PUNCT
cana-5492	625	26	and	and	CCONJ
cana-5492	625	27	contra	contra	PROPN
cana-5492	625	28	z	z	PROPN
cana-5492	625	29	-	-	PUNCT
cana-5492	625	30	closed	close	VERB
cana-5492	625	31	maps	map	NOUN
cana-5492	625	32	in	in	ADP
cana-5492	625	33	neutrosophic	neutrosophic	ADJ
cana-5492	625	34	soft	soft	ADJ
cana-5492	625	35	topological	topological	ADJ
cana-5492	625	36	spaces	space	NOUN
cana-5492	625	37	.	.	PUNCT
cana-5492	626	1	additionally	additionally	ADV
cana-5492	626	2	,	,	PUNCT
cana-5492	626	3	we	we	PRON
cana-5492	626	4	have	have	AUX
cana-5492	626	5	investigated	investigate	VERB
cana-5492	626	6	contra	contra	PROPN
cana-5492	626	7	z	z	PROPN
cana-5492	626	8	and	and	CCONJ
cana-5492	626	9	z	z	PROPN
cana-5492	626	10	-	-	PUNCT
cana-5492	626	11	c	c	NOUN
cana-5492	626	12	homeomorphisms	homeomorphisms	PROPN
cana-5492	626	13	,	,	PUNCT
cana-5492	626	14	with	with	ADP
cana-5492	626	15	relevant	relevant	ADJ
cana-5492	626	16	theorems	theorem	NOUN
cana-5492	626	17	and	and	CCONJ
cana-5492	626	18	examples	example	NOUN
cana-5492	626	19	,	,	PUNCT
cana-5492	626	20	thereby	thereby	ADV
cana-5492	626	21	contributing	contribute	VERB
cana-5492	626	22	to	to	ADP
cana-5492	626	23	the	the	DET
cana-5492	626	24	expansion	expansion	NOUN
cana-5492	626	25	of	of	ADP
cana-5492	626	26	neutrosophic	neutrosophic	ADJ
cana-5492	626	27	soft	soft	ADJ
cana-5492	626	28	topology	topology	NOUN
cana-5492	626	29	.	.	PUNCT
cana-5492	627	1	these	these	DET
cana-5492	627	2	results	result	NOUN
cana-5492	627	3	pave	pave	VERB
cana-5492	627	4	the	the	DET
cana-5492	627	5	way	way	NOUN
cana-5492	627	6	for	for	ADP
cana-5492	627	7	future	future	ADJ
cana-5492	627	8	research	research	NOUN
cana-5492	627	9	and	and	CCONJ
cana-5492	627	10	potential	potential	ADJ
cana-5492	627	11	applications	application	NOUN
cana-5492	627	12	in	in	ADP
cana-5492	627	13	this	this	DET
cana-5492	627	14	emerging	emerge	VERB
cana-5492	627	15	field	field	NOUN
cana-5492	627	16	.	.	PUNCT
cana-5492	628	1	reference	reference	NOUN
cana-5492	628	2	[	[	X
cana-5492	628	3	1	1	NUM
cana-5492	628	4	]	]	PUNCT
cana-5492	628	5	ahu	ahu	PROPN
cana-5492	628	6	acikgoz	acikgoz	PROPN
cana-5492	628	7	and	and	CCONJ
cana-5492	628	8	ferhat	ferhat	PROPN
cana-5492	628	9	esenbel	esenbel	NOUN
cana-5492	628	10	,	,	PUNCT
cana-5492	628	11	neutrosophic	neutrosophic	ADJ
cana-5492	628	12	soft	soft	ADJ
cana-5492	628	13	𝛿topology	𝛿topology	NOUN
cana-5492	628	14	and	and	CCONJ
cana-5492	628	15	neutrosophic	neutrosophic	ADJ
cana-5492	628	16	soft	soft	ADJ
cana-5492	628	17	compactness	compactness	NOUN
cana-5492	628	18	,	,	PUNCT
cana-5492	628	19	aip	aip	PROPN
cana-5492	628	20	conference	conference	NOUN
cana-5492	628	21	proceedings	proceeding	NOUN
cana-5492	628	22	,	,	PUNCT
cana-5492	628	23	2183	2183	NUM
cana-5492	628	24	(	(	PUNCT
cana-5492	628	25	2019	2019	NUM
cana-5492	628	26	)	)	PUNCT
cana-5492	628	27	,	,	PUNCT
cana-5492	628	28	030002	030002	NUM
cana-5492	628	29	.	.	PUNCT
cana-5492	629	1	[	[	X
cana-5492	629	2	2	2	NUM
cana-5492	629	3	]	]	PUNCT
cana-5492	629	4	atanassov	atanassov	NOUN
cana-5492	629	5	,	,	PUNCT
cana-5492	629	6	k.	k.	PROPN
cana-5492	629	7	,	,	PUNCT
cana-5492	629	8	intuitionistic	intuitionistic	ADJ
cana-5492	629	9	fuzzy	fuzzy	ADJ
cana-5492	629	10	sets	set	NOUN
cana-5492	629	11	,	,	PUNCT
cana-5492	629	12	fuzzy	fuzzy	ADJ
cana-5492	629	13	sets	set	NOUN
cana-5492	629	14	syst	syst	NOUN
cana-5492	629	15	.	.	PUNCT
cana-5492	630	1	20	20	NUM
cana-5492	630	2	(	(	PUNCT
cana-5492	630	3	1986	1986	NUM
cana-5492	630	4	)	)	PUNCT
cana-5492	630	5	,	,	PUNCT
cana-5492	630	6	87	87	NUM
cana-5492	630	7	-	-	SYM
cana-5492	630	8	-96	-96	X
cana-5492	630	9	.	.	PUNCT
cana-5492	631	1	[	[	X
cana-5492	631	2	3	3	NUM
cana-5492	631	3	]	]	X
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cana-5492	631	5	,	,	PUNCT
cana-5492	631	6	t.	t.	PROPN
cana-5492	631	7	,	,	PUNCT
cana-5492	631	8	mahapatra	mahapatra	PROPN
cana-5492	631	9	,	,	PUNCT
cana-5492	631	10	n.k	n.k	PROPN
cana-5492	631	11	.	.	PROPN
cana-5492	631	12	,	,	PUNCT
cana-5492	631	13	on	on	ADP
cana-5492	631	14	neutrosophic	neutrosophic	ADJ
cana-5492	631	15	soft	soft	ADJ
cana-5492	631	16	function	function	NOUN
cana-5492	631	17	,	,	PUNCT
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cana-5492	631	19	.	.	PROPN
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cana-5492	631	21	math	math	PROPN
cana-5492	631	22	.	.	PUNCT
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cana-5492	632	2	,	,	PUNCT
cana-5492	632	3	12(1	12(1	NUM
cana-5492	632	4	)	)	PUNCT
cana-5492	632	5	(	(	PUNCT
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cana-5492	632	7	)	)	PUNCT
cana-5492	632	8	,	,	PUNCT
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cana-5492	632	10	-	-	SYM
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cana-5492	632	12	.	.	PUNCT
cana-5492	633	1	[	[	X
cana-5492	633	2	4	4	X
cana-5492	633	3	]	]	X
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cana-5492	633	5	t.	t.	NOUN
cana-5492	633	6	and	and	CCONJ
cana-5492	633	7	mahapatra	mahapatra	PROPN
cana-5492	633	8	,	,	PUNCT
cana-5492	633	9	n.	n.	PROPN
cana-5492	633	10	k.	k.	PROPN
cana-5492	633	11	introduction	introduction	NOUN
cana-5492	633	12	to	to	ADP
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cana-5492	633	14	soft	soft	ADJ
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cana-5492	633	17	,	,	PUNCT
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cana-5492	633	19	,	,	PUNCT
cana-5492	633	20	54	54	NUM
cana-5492	633	21	(	(	PUNCT
cana-5492	633	22	2017	2017	NUM
cana-5492	633	23	)	)	PUNCT
cana-5492	633	24	,	,	PUNCT
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cana-5492	633	26	-	-	SYM
cana-5492	633	27	861	861	NUM
cana-5492	633	28	.	.	PUNCT
cana-5492	634	1	[	[	X
cana-5492	634	2	5	5	NUM
cana-5492	634	3	]	]	SYM
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cana-5492	634	5	,	,	PUNCT
cana-5492	634	6	s.	s.	PROPN
cana-5492	634	7	,	,	PUNCT
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cana-5492	634	9	,	,	PUNCT
cana-5492	634	10	f.	f.	PROPN
cana-5492	634	11	,	,	PUNCT
cana-5492	634	12	intuitionistic	intuitionistic	ADJ
cana-5492	634	13	neutrosophic	neutrosophic	ADJ
cana-5492	634	14	soft	soft	ADJ
cana-5492	634	15	set	set	NOUN
cana-5492	634	16	,	,	PUNCT
cana-5492	634	17	j.	j.	PROPN
cana-5492	634	18	inf	inf	PROPN
cana-5492	634	19	.	.	PUNCT
cana-5492	634	20	comput	comput	PROPN
cana-5492	634	21	.	.	PUNCT
cana-5492	635	1	sci	sci	PROPN
cana-5492	635	2	,	,	PUNCT
cana-5492	635	3	8(2	8(2	NUM
cana-5492	635	4	)	)	PUNCT
cana-5492	635	5	(	(	PUNCT
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cana-5492	635	7	)	)	PUNCT
cana-5492	635	8	,	,	PUNCT
cana-5492	635	9	130	130	NUM
cana-5492	635	10	-	-	PUNCT
cana-5492	635	11	-140	-140	NOUN
cana-5492	635	12	.	.	PUNCT
cana-5492	636	1	[	[	X
cana-5492	636	2	6	6	NUM
cana-5492	636	3	]	]	X
cana-5492	636	4	chang	chang	PROPN
cana-5492	636	5	,	,	PUNCT
cana-5492	636	6	c.l	c.l	PROPN
cana-5492	636	7	.	.	PROPN
cana-5492	636	8	,	,	PUNCT
cana-5492	636	9	fuzzy	fuzzy	ADJ
cana-5492	636	10	topological	topological	ADJ
cana-5492	636	11	spaces	space	NOUN
cana-5492	636	12	,	,	PUNCT
cana-5492	636	13	j.	j.	PROPN
cana-5492	636	14	math	math	PROPN
cana-5492	636	15	.	.	PUNCT
cana-5492	637	1	anal	anal	PROPN
cana-5492	637	2	.	.	PUNCT
cana-5492	638	1	appl	appl	PROPN
cana-5492	638	2	.	.	PUNCT
cana-5492	639	1	24(1	24(1	NUM
cana-5492	639	2	)	)	PUNCT
cana-5492	639	3	(	(	PUNCT
cana-5492	639	4	1968	1968	NUM
cana-5492	639	5	)	)	PUNCT
cana-5492	639	6	,	,	PUNCT
cana-5492	639	7	182	182	NUM
cana-5492	639	8	-	-	SYM
cana-5492	639	9	-190	-190	ADJ
cana-5492	639	10	.	.	PUNCT
cana-5492	640	1	[	[	X
cana-5492	640	2	7	7	NUM
cana-5492	640	3	]	]	X
cana-5492	640	4	coker	coker	NOUN
cana-5492	640	5	,	,	PUNCT
cana-5492	640	6	d.	d.	PROPN
cana-5492	640	7	,	,	PUNCT
cana-5492	640	8	an	an	DET
cana-5492	640	9	introduction	introduction	NOUN
cana-5492	640	10	of	of	ADP
cana-5492	640	11	intuitionistic	intuitionistic	ADJ
cana-5492	640	12	fuzzy	fuzzy	ADJ
cana-5492	640	13	topological	topological	ADJ
cana-5492	640	14	spaces	space	NOUN
cana-5492	640	15	,	,	PUNCT
cana-5492	640	16	fuzzy	fuzzy	ADJ
cana-5492	640	17	sets	set	NOUN
cana-5492	640	18	syst	syst	NOUN
cana-5492	640	19	,	,	PUNCT
cana-5492	640	20	88	88	NUM
cana-5492	640	21	(	(	PUNCT
cana-5492	640	22	1997	1997	NUM
cana-5492	640	23	)	)	PUNCT
cana-5492	640	24	,	,	PUNCT
cana-5492	640	25	81	81	NUM
cana-5492	640	26	-	-	PUNCT
cana-5492	640	27	-89	-89	PUNCT
cana-5492	640	28	.	.	PUNCT
cana-5492	641	1	communications	communication	NOUN
cana-5492	641	2	on	on	ADP
cana-5492	641	3	applied	apply	VERB
cana-5492	641	4	nonlinear	nonlinear	ADJ
cana-5492	641	5	analysis	analysis	NOUN
cana-5492	641	6	issn	issn	NOUN
cana-5492	641	7	:	:	PUNCT
cana-5492	641	8	1074	1074	NUM
cana-5492	641	9	-	-	PUNCT
cana-5492	641	10	133x	133x	NUM
cana-5492	641	11	vol	vol	VERB
cana-5492	641	12	32	32	NUM
cana-5492	641	13	no	no	NOUN
cana-5492	641	14	.	.	PUNCT
cana-5492	642	1	10s	10	NOUN
cana-5492	642	2	(	(	PUNCT
cana-5492	642	3	2025	2025	NUM
cana-5492	642	4	)	)	PUNCT
cana-5492	642	5	2465	2465	NUM
cana-5492	642	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-5492	643	1	[	[	X
cana-5492	643	2	8	8	NUM
cana-5492	643	3	]	]	X
cana-5492	643	4	deli	deli	PROPN
cana-5492	643	5	,	,	PUNCT
cana-5492	643	6	i.	i.	PROPN
cana-5492	643	7	,	,	PUNCT
cana-5492	643	8	broumi	broumi	PROPN
cana-5492	643	9	,	,	PUNCT
cana-5492	643	10	s.	s.	PROPN
cana-5492	643	11	,	,	PUNCT
cana-5492	643	12	neutrosophic	neutrosophic	ADJ
cana-5492	643	13	soft	soft	ADJ
cana-5492	643	14	relations	relation	NOUN
cana-5492	643	15	and	and	CCONJ
cana-5492	643	16	sonme	sonme	PROPN
cana-5492	643	17	properties	property	NOUN
cana-5492	643	18	,	,	PUNCT
cana-5492	643	19	ann	ann	PROPN
cana-5492	643	20	.	.	PROPN
cana-5492	643	21	fuzzy	fuzzy	ADJ
cana-5492	643	22	math	math	PROPN
cana-5492	643	23	.	.	PUNCT
cana-5492	644	1	inform	inform	NOUN
cana-5492	644	2	,	,	PUNCT
cana-5492	644	3	9(1	9(1	NUM
cana-5492	644	4	)	)	PUNCT
cana-5492	644	5	(	(	PUNCT
cana-5492	644	6	2015	2015	NUM
cana-5492	644	7	)	)	PUNCT
cana-5492	644	8	,	,	PUNCT
cana-5492	644	9	169	169	NUM
cana-5492	644	10	-	-	PUNCT
cana-5492	644	11	-182	-182	NOUN
cana-5492	644	12	.	.	PUNCT
cana-5492	645	1	[	[	X
cana-5492	645	2	9	9	NUM
cana-5492	645	3	]	]	SYM
cana-5492	645	4	ei	ei	NOUN
cana-5492	645	5	-	-	PUNCT
cana-5492	645	6	magharabi	magharabi	NOUN
cana-5492	645	7	,	,	PUNCT
cana-5492	645	8	a.i	a.i	PROPN
cana-5492	645	9	and	and	CCONJ
cana-5492	645	10	mubarki	mubarki	PROPN
cana-5492	645	11	,	,	PUNCT
cana-5492	645	12	a.m	a.m	PROPN
cana-5492	645	13	,	,	PUNCT
cana-5492	645	14	z	z	NOUN
cana-5492	645	15	open	open	ADJ
cana-5492	645	16	sets	set	NOUN
cana-5492	645	17	and	and	CCONJ
cana-5492	645	18	z	z	NOUN
cana-5492	645	19	-	-	PUNCT
cana-5492	645	20	continuity	continuity	NOUN
cana-5492	645	21	in	in	ADP
cana-5492	645	22	topological	topological	ADJ
cana-5492	645	23	spaces	space	NOUN
cana-5492	645	24	,	,	PUNCT
cana-5492	645	25	international	international	ADJ
cana-5492	645	26	journal	journal	NOUN
cana-5492	645	27	of	of	ADP
cana-5492	645	28	mathematics	mathematics	PROPN
cana-5492	645	29	archive	archive	NOUN
cana-5492	645	30	,	,	PUNCT
cana-5492	645	31	2(10	2(10	NUM
cana-5492	645	32	)	)	PUNCT
cana-5492	645	33	(	(	PUNCT
cana-5492	645	34	2011	2011	NUM
cana-5492	645	35	)	)	PUNCT
cana-5492	645	36	,	,	PUNCT
cana-5492	645	37	1819	1819	NUM
cana-5492	645	38	-	-	SYM
cana-5492	645	39	1827	1827	NUM
cana-5492	645	40	.	.	PUNCT
cana-5492	646	1	[	[	X
cana-5492	646	2	10	10	NUM
cana-5492	646	3	]	]	X
cana-5492	646	4	mahanta	mahanta	PROPN
cana-5492	646	5	j	j	PROPN
cana-5492	646	6	and	and	CCONJ
cana-5492	646	7	das	das	PROPN
cana-5492	646	8	p.k	p.k	PROPN
cana-5492	646	9	.	.	PUNCT
cana-5492	646	10	:	:	PUNCT
cana-5492	646	11	on	on	ADP
cana-5492	646	12	soft	soft	ADJ
cana-5492	646	13	topological	topological	ADJ
cana-5492	646	14	spaces	space	NOUN
cana-5492	646	15	via	via	ADP
cana-5492	646	16	semiopen	semiopen	VERB
cana-5492	646	17	and	and	CCONJ
cana-5492	646	18	semiclosed	semiclose	VERB
cana-5492	646	19	soft	soft	ADJ
cana-5492	646	20	sets	set	NOUN
cana-5492	646	21	,	,	PUNCT
cana-5492	646	22	kyungpook	kyungpook	NOUN
cana-5492	646	23	math	math	NOUN
cana-5492	646	24	.	.	PUNCT
cana-5492	647	1	j	j	PROPN
cana-5492	647	2	,	,	PUNCT
cana-5492	647	3	54	54	NUM
cana-5492	647	4	(	(	PUNCT
cana-5492	647	5	2014	2014	NUM
cana-5492	647	6	)	)	PUNCT
cana-5492	647	7	,	,	PUNCT
cana-5492	647	8	221	221	NUM
cana-5492	647	9	-	-	SYM
cana-5492	647	10	-236	-236	PROPN
cana-5492	647	11	.	.	PUNCT
cana-5492	648	1	[	[	X
cana-5492	648	2	11	11	NUM
cana-5492	648	3	]	]	X
cana-5492	648	4	maji	maji	PROPN
cana-5492	648	5	,	,	PUNCT
cana-5492	648	6	p.k	p.k	PROPN
cana-5492	648	7	.	.	PROPN
cana-5492	648	8	,	,	PUNCT
cana-5492	648	9	neutrosophic	neutrosophic	ADJ
cana-5492	648	10	soft	soft	ADJ
cana-5492	648	11	set	set	NOUN
cana-5492	648	12	,	,	PUNCT
cana-5492	648	13	ann	ann	PROPN
cana-5492	648	14	.	.	PROPN
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cana-5492	648	16	math	math	PROPN
cana-5492	648	17	.	.	PUNCT
cana-5492	649	1	inform	inform	NOUN
cana-5492	649	2	,	,	PUNCT
cana-5492	649	3	5(1	5(1	NUM
cana-5492	649	4	)	)	PUNCT
cana-5492	649	5	(	(	PUNCT
cana-5492	649	6	2013	2013	NUM
cana-5492	649	7	)	)	PUNCT
cana-5492	649	8	,	,	PUNCT
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cana-5492	649	10	-	-	SYM
cana-5492	649	11	-168	-168	PROPN
cana-5492	649	12	.	.	PUNCT
cana-5492	650	1	[	[	X
cana-5492	650	2	12	12	NUM
cana-5492	650	3	]	]	X
cana-5492	650	4	molodtsov	molodtsov	PROPN
cana-5492	650	5	,	,	PUNCT
cana-5492	650	6	d.	d.	PROPN
cana-5492	650	7	,	,	PUNCT
cana-5492	650	8	soft	soft	ADJ
cana-5492	650	9	set	set	NOUN
cana-5492	650	10	theory	theory	NOUN
cana-5492	650	11	:	:	PUNCT
cana-5492	650	12	first	first	ADJ
cana-5492	650	13	results	result	NOUN
cana-5492	650	14	,	,	PUNCT
cana-5492	650	15	comput	comput	NOUN
cana-5492	650	16	.	.	PUNCT
cana-5492	651	1	math	math	NOUN
cana-5492	651	2	.	.	PUNCT
cana-5492	652	1	appl	appl	PROPN
cana-5492	652	2	,	,	PUNCT
cana-5492	652	3	37	37	NUM
cana-5492	652	4	(	(	PUNCT
cana-5492	652	5	1999	1999	NUM
cana-5492	652	6	)	)	PUNCT
cana-5492	652	7	,	,	PUNCT
cana-5492	652	8	19	19	NUM
cana-5492	652	9	-	-	NUM
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cana-5492	652	11	.	.	PUNCT
cana-5492	653	1	[	[	X
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cana-5492	653	3	]	]	X
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cana-5492	653	5	,	,	PUNCT
cana-5492	653	6	p.	p.	NOUN
cana-5492	653	7	,	,	PUNCT
cana-5492	653	8	chitirakala	chitirakala	NOUN
cana-5492	653	9	,	,	PUNCT
cana-5492	653	10	k.	k.	PROPN
cana-5492	653	11	and	and	CCONJ
cana-5492	653	12	vadivel	vadivel	PROPN
cana-5492	653	13	,	,	PUNCT
cana-5492	653	14	a.	a.	NOUN
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cana-5492	653	16	neutrosophic	neutrosophic	ADJ
cana-5492	653	17	soft	soft	ADJ
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cana-5492	653	19	-	-	ADJ
cana-5492	653	20	open	open	ADJ
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cana-5492	653	22	in	in	ADP
cana-5492	653	23	neutrosophic	neutrosophic	ADJ
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cana-5492	653	26	spaces	space	NOUN
cana-5492	653	27	,	,	PUNCT
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cana-5492	653	29	.	.	PUNCT
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cana-5492	653	32	.	.	PUNCT
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cana-5492	654	3	]	]	PUNCT
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cana-5492	654	5	,	,	PUNCT
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cana-5492	654	7	.	.	PROPN
cana-5492	654	8	,alblowi	,alblowi	PROPN
cana-5492	654	9	,	,	PUNCT
cana-5492	654	10	s.a	s.a	PROPN
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cana-5492	654	12	,	,	PUNCT
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cana-5492	654	16	neutrosophic	neutrosophic	ADJ
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cana-5492	654	19	,	,	PUNCT
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cana-5492	654	21	j.	j.	PROPN
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cana-5492	654	23	3(4	3(4	PROPN
cana-5492	654	24	)	)	PUNCT
cana-5492	654	25	(	(	PUNCT
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cana-5492	654	27	)	)	PUNCT
cana-5492	654	28	,	,	PUNCT
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cana-5492	654	30	-	-	NUM
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cana-5492	654	32	.	.	PUNCT
cana-5492	655	1	[	[	X
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cana-5492	655	3	]	]	X
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cana-5492	655	5	,	,	PUNCT
cana-5492	655	6	a.a	a.a	PROPN
cana-5492	655	7	.	.	PROPN
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cana-5492	655	9	,	,	PUNCT
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cana-5492	655	11	,	,	PUNCT
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cana-5492	655	13	crisp	crisp	ADJ
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cana-5492	655	16	,	,	PUNCT
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cana-5492	655	25	,	,	PUNCT
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cana-5492	655	27	.	.	PUNCT
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cana-5492	656	3	]	]	X
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cana-5492	656	5	,	,	PUNCT
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cana-5492	656	9	,	,	PUNCT
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cana-5492	656	12	on	on	ADP
cana-5492	656	13	soft	soft	ADJ
cana-5492	656	14	topological	topological	ADJ
cana-5492	656	15	spaces	space	NOUN
cana-5492	656	16	,	,	PUNCT
cana-5492	656	17	comput	comput	NOUN
cana-5492	656	18	.	.	PUNCT
cana-5492	657	1	math	math	NOUN
cana-5492	657	2	.	.	PUNCT
cana-5492	658	1	appl	appl	PROPN
cana-5492	658	2	,	,	PUNCT
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cana-5492	658	4	(	(	PUNCT
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cana-5492	658	6	)	)	PUNCT
cana-5492	658	7	,	,	PUNCT
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cana-5492	658	9	-	-	SYM
cana-5492	658	10	-1799	-1799	PROPN
cana-5492	658	11	.	.	PUNCT
cana-5492	659	1	[	[	X
cana-5492	659	2	17	17	NUM
cana-5492	659	3	]	]	X
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cana-5492	659	5	,	,	PUNCT
cana-5492	659	6	f.	f.	PROPN
cana-5492	659	7	,	,	PUNCT
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cana-5492	659	9	set	set	NOUN
cana-5492	659	10	,	,	PUNCT
cana-5492	659	11	a	a	DET
cana-5492	659	12	generalisation	generalisation	NOUN
cana-5492	659	13	of	of	ADP
cana-5492	659	14	the	the	DET
cana-5492	659	15	intuitionistic	intuitionistic	ADJ
cana-5492	659	16	fuzzy	fuzzy	ADJ
cana-5492	659	17	sets	set	NOUN
cana-5492	659	18	,	,	PUNCT
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cana-5492	659	20	.	.	PUNCT
cana-5492	660	1	j.	j.	PROPN
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cana-5492	660	4	.	.	PUNCT
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cana-5492	661	1	24	24	NUM
cana-5492	661	2	(	(	PUNCT
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cana-5492	661	4	)	)	PUNCT
cana-5492	661	5	,	,	PUNCT
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cana-5492	661	7	-	-	SYM
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cana-5492	661	9	.	.	PUNCT
cana-5492	662	1	[	[	X
cana-5492	662	2	18	18	NUM
cana-5492	662	3	]	]	SYM
cana-5492	662	4	vadivel	vadivel	NOUN
cana-5492	662	5	,	,	PUNCT
cana-5492	662	6	a.	a.	NOUN
cana-5492	662	7	,	,	PUNCT
cana-5492	662	8	moogambigai	moogambigai	PROPN
cana-5492	662	9	,	,	PUNCT
cana-5492	662	10	n.	n.	NOUN
cana-5492	662	11	,	,	PUNCT
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cana-5492	662	13	,	,	PUNCT
cana-5492	662	14	s.	s.	PROPN
cana-5492	662	15	,	,	PUNCT
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cana-5492	662	17	-	-	ADJ
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cana-5492	662	19	sets	set	NOUN
cana-5492	662	20	in	in	ADP
cana-5492	662	21	a	a	DET
cana-5492	662	22	neutrosophic	neutrosophic	ADJ
cana-5492	662	23	topological	topological	ADJ
cana-5492	662	24	spaces	space	NOUN
cana-5492	662	25	,	,	PUNCT
cana-5492	662	26	turkish	turkish	ADJ
cana-5492	662	27	journal	journal	NOUN
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cana-5492	662	33	,	,	PUNCT
cana-5492	662	34	12	12	NUM
cana-5492	662	35	(	(	PUNCT
cana-5492	662	36	2021	2021	NUM
cana-5492	662	37	)	)	PUNCT
cana-5492	662	38	,	,	PUNCT
cana-5492	662	39	357	357	NUM
cana-5492	662	40	-	-	SYM
cana-5492	662	41	362	362	NUM
cana-5492	662	42	.	.	PUNCT
cana-5492	663	1	[	[	X
cana-5492	663	2	19	19	NUM
cana-5492	663	3	]	]	X
cana-5492	663	4	venkateswara	venkateswara	PROPN
cana-5492	663	5	rao	rao	PROPN
cana-5492	663	6	v	v	PROPN
cana-5492	663	7	and	and	CCONJ
cana-5492	663	8	srinivasa	srinivasa	PROPN
cana-5492	663	9	rao	rao	PROPN
cana-5492	663	10	y	y	PROPN
cana-5492	663	11	,	,	PUNCT
cana-5492	663	12	neutrosophic	neutrosophic	ADJ
cana-5492	663	13	pre	pre	ADJ
cana-5492	663	14	-	-	ADJ
cana-5492	663	15	open	open	ADJ
cana-5492	663	16	sets	set	NOUN
cana-5492	663	17	and	and	CCONJ
cana-5492	663	18	pre	pre	ADJ
cana-5492	663	19	-	-	ADJ
cana-5492	663	20	closed	closed	ADJ
cana-5492	663	21	sets	set	NOUN
cana-5492	663	22	in	in	ADP
cana-5492	663	23	neutrosophic	neutrosophic	ADJ
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cana-5492	663	25	,	,	PUNCT
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cana-5492	663	28	of	of	ADP
cana-5492	663	29	chem	chem	NOUN
cana-5492	663	30	tech	tech	NOUN
cana-5492	663	31	research	research	NOUN
cana-5492	663	32	,	,	PUNCT
cana-5492	663	33	10(10	10(10	NUM
cana-5492	663	34	)	)	PUNCT
cana-5492	663	35	(	(	PUNCT
cana-5492	663	36	2017	2017	NUM
cana-5492	663	37	)	)	PUNCT
cana-5492	663	38	,	,	PUNCT
cana-5492	663	39	449	449	NUM
cana-5492	663	40	-	-	SYM
cana-5492	663	41	458	458	NUM
cana-5492	663	42	.	.	PUNCT
cana-5492	664	1	[	[	X
cana-5492	664	2	20	20	NUM
cana-5492	664	3	]	]	X
cana-5492	664	4	zadeh	zadeh	PROPN
cana-5492	664	5	l.	l.	PROPN
cana-5492	664	6	a.	a.	PROPN
cana-5492	664	7	,	,	PUNCT
cana-5492	664	8	fuzzy	fuzzy	ADJ
cana-5492	664	9	sets	set	NOUN
cana-5492	664	10	,	,	PUNCT
cana-5492	664	11	inf	inf	PROPN
cana-5492	664	12	.	.	PROPN
cana-5492	664	13	control	control	PROPN
cana-5492	664	14	,	,	PUNCT
cana-5492	664	15	8(1965	8(1965	NUM
cana-5492	664	16	)	)	PUNCT
cana-5492	664	17	,	,	PUNCT
cana-5492	664	18	338	338	NUM
cana-5492	664	19	-	-	SYM
cana-5492	664	20	353	353	NUM
cana-5492	664	21	.	.	PUNCT