id	sid	tid	token	lemma	pos
cana-3826	1	1	communications	communication	NOUN
cana-3826	1	2	on	on	ADP
cana-3826	1	3	applied	apply	VERB
cana-3826	1	4	nonlinear	nonlinear	ADJ
cana-3826	1	5	analysis	analysis	NOUN
cana-3826	1	6	issn	issn	NOUN
cana-3826	1	7	:	:	PUNCT
cana-3826	1	8	1074	1074	NUM
cana-3826	1	9	-	-	PUNCT
cana-3826	1	10	133x	133x	NUM
cana-3826	1	11	vol	vol	NOUN
cana-3826	1	12	32	32	NUM
cana-3826	1	13	no	no	NOUN
cana-3826	1	14	.	.	PUNCT
cana-3826	2	1	8s	8s	PROPN
cana-3826	2	2	(	(	PUNCT
cana-3826	2	3	2025	2025	NUM
cana-3826	2	4	)	)	PUNCT
cana-3826	2	5	835	835	NUM
cana-3826	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	2	7	𝛉-separation	𝛉-separation	NOUN
cana-3826	2	8	axioms	axiom	NOUN
cana-3826	2	9	on	on	ADP
cana-3826	2	10	fuzzy	fuzzy	ADJ
cana-3826	2	11	hypersoft	hypersoft	PROPN
cana-3826	2	12	topological	topological	ADJ
cana-3826	2	13	spaces	space	NOUN
cana-3826	2	14	p.	p.	PROPN
cana-3826	2	15	revathi	revathi	PROPN
cana-3826	2	16	𝟏	𝟏	PROPN
cana-3826	2	17	b.	b.	PROPN
cana-3826	2	18	premamalini	premamalini	PROPN
cana-3826	2	19	𝟐	𝟐	PROPN
cana-3826	2	20	k.	k.	PROPN
cana-3826	2	21	chitirakala	chitirakala	PROPN
cana-3826	2	22	𝟑	𝟑	PROPN
cana-3826	2	23	and	and	CCONJ
cana-3826	2	24	g.	g.	PROPN
cana-3826	2	25	saravanakumar	saravanakumar	PROPN
cana-3826	2	26	𝟒	𝟒	NUM
cana-3826	2	27	1	1	NUM
cana-3826	2	28	government	government	NOUN
cana-3826	2	29	polytechnic	polytechnic	ADJ
cana-3826	2	30	college	college	NOUN
cana-3826	2	31	,	,	PUNCT
cana-3826	2	32	kuduveli	kuduveli	PROPN
cana-3826	2	33	,	,	PUNCT
cana-3826	2	34	chidambaram	chidambaram	PROPN
cana-3826	2	35	608	608	NUM
cana-3826	2	36	305	305	NUM
cana-3826	2	37	,	,	PUNCT
cana-3826	2	38	india	india	PROPN
cana-3826	2	39	.	.	PUNCT
cana-3826	3	1	1,2department	1,2department	NUM
cana-3826	3	2	of	of	ADP
cana-3826	3	3	mathematics	mathematic	NOUN
cana-3826	3	4	,	,	PUNCT
cana-3826	3	5	annamalai	annamalai	PROPN
cana-3826	3	6	university	university	PROPN
cana-3826	3	7	,	,	PUNCT
cana-3826	3	8	annamalai	annamalai	PROPN
cana-3826	3	9	nagar	nagar	VERB
cana-3826	3	10	608	608	NUM
cana-3826	3	11	002	002	NUM
cana-3826	3	12	,	,	PUNCT
cana-3826	3	13	india	india	PROPN
cana-3826	3	14	.	.	PUNCT
cana-3826	4	1	3department	3department	NUM
cana-3826	4	2	of	of	ADP
cana-3826	4	3	mathematics	mathematic	NOUN
cana-3826	4	4	,	,	PUNCT
cana-3826	4	5	m.kumarasamy	m.kumarasamy	ADJ
cana-3826	4	6	college	college	NOUN
cana-3826	4	7	of	of	ADP
cana-3826	4	8	engineering	engineering	PROPN
cana-3826	4	9	,	,	PUNCT
cana-3826	4	10	karur	karur	PROPN
cana-3826	4	11	639	639	NUM
cana-3826	4	12	113	113	NUM
cana-3826	4	13	,	,	PUNCT
cana-3826	4	14	india	india	PROPN
cana-3826	4	15	.	.	PUNCT
cana-3826	5	1	4department	4department	NUM
cana-3826	5	2	of	of	ADP
cana-3826	5	3	mathematics	mathematic	NOUN
cana-3826	5	4	,	,	PUNCT
cana-3826	5	5	vel	vel	ADJ
cana-3826	5	6	tech	tech	NOUN
cana-3826	5	7	rangarajan	rangarajan	NOUN
cana-3826	5	8	dr.sagunthala	dr.sagunthala	NOUN
cana-3826	5	9	r&d	r&d	PROPN
cana-3826	5	10	institute	institute	PROPN
cana-3826	5	11	of	of	ADP
cana-3826	5	12	science	science	NOUN
cana-3826	5	13	and	and	CCONJ
cana-3826	5	14	technology	technology	NOUN
cana-3826	5	15	(	(	PUNCT
cana-3826	5	16	deemed	deem	VERB
cana-3826	5	17	to	to	PART
cana-3826	5	18	be	be	AUX
cana-3826	5	19	university	university	NOUN
cana-3826	5	20	)	)	PUNCT
cana-3826	5	21	,	,	PUNCT
cana-3826	5	22	avadi	avadi	NOUN
cana-3826	5	23	,	,	PUNCT
cana-3826	5	24	chennai-600062	chennai-600062	NOUN
cana-3826	5	25	,	,	PUNCT
cana-3826	5	26	india	india	PROPN
cana-3826	5	27	.	.	PUNCT
cana-3826	6	1	corresponding	correspond	VERB
cana-3826	6	2	authors	author	NOUN
cana-3826	6	3	:	:	PUNCT
cana-3826	6	4	k.	k.	PROPN
cana-3826	6	5	chitirakala	chitirakala	PROPN
cana-3826	6	6	and	and	CCONJ
cana-3826	6	7	b.	b.	PROPN
cana-3826	6	8	premamalini	premamalini	PROPN
cana-3826	6	9	1revathimathsau@gmail.com	1revathimathsau@gmail.com	PROPN
cana-3826	6	10	,	,	PUNCT
cana-3826	6	11	2premamalinips@gmail.com	2premamalinips@gmail.com	NUM
cana-3826	6	12	,	,	PUNCT
cana-3826	6	13	3chitrakalalaksana@gmail.com	3chitrakalalaksana@gmail.com	NUM
cana-3826	6	14	,	,	PUNCT
cana-3826	7	1	4saravananguru2612@gmail.com	4saravananguru2612@gmail.com	NUM
cana-3826	7	2	article	article	NOUN
cana-3826	7	3	history	history	NOUN
cana-3826	7	4	:	:	PUNCT
cana-3826	7	5	received	receive	VERB
cana-3826	7	6	:	:	PUNCT
cana-3826	7	7	10	10	NUM
cana-3826	7	8	-	-	SYM
cana-3826	7	9	11	11	NUM
cana-3826	7	10	-	-	PUNCT
cana-3826	7	11	2024	2024	NUM
cana-3826	7	12	revised:24	revised:24	X
cana-3826	7	13	-	-	PUNCT
cana-3826	7	14	12	12	NUM
cana-3826	7	15	-	-	PUNCT
cana-3826	7	16	2024	2024	NUM
cana-3826	7	17	accepted:09	accepted:09	NOUN
cana-3826	7	18	-	-	PUNCT
cana-3826	7	19	01	01	NUM
cana-3826	7	20	-	-	PUNCT
cana-3826	7	21	2025	2025	NUM
cana-3826	7	22	abstract	abstract	NOUN
cana-3826	7	23	:	:	PUNCT
cana-3826	7	24	in	in	ADP
cana-3826	7	25	this	this	DET
cana-3826	7	26	article	article	NOUN
cana-3826	7	27	,	,	PUNCT
cana-3826	7	28	the	the	DET
cana-3826	7	29	concept	concept	NOUN
cana-3826	7	30	of	of	ADP
cana-3826	7	31	fuzzy	fuzzy	ADJ
cana-3826	7	32	hypersoft	hypersoft	PROPN
cana-3826	7	33	θ	θ	PROPN
cana-3826	7	34	(	(	PUNCT
cana-3826	7	35	resp	resp	NOUN
cana-3826	7	36	.	.	PUNCT
cana-3826	8	1	θ	θ	NOUN
cana-3826	8	2	semi	semi	ADV
cana-3826	8	3	&	&	CCONJ
cana-3826	8	4	θ	θ	PROPN
cana-3826	8	5	pre)-separation	pre)-separation	NOUN
cana-3826	8	6	axioms	axiom	NOUN
cana-3826	8	7	in	in	ADP
cana-3826	8	8	fuzzy	fuzzy	ADJ
cana-3826	8	9	hypersoft	hypersoft	PROPN
cana-3826	8	10	topological	topological	ADJ
cana-3826	8	11	spaces	space	NOUN
cana-3826	8	12	are	be	AUX
cana-3826	8	13	introduced	introduce	VERB
cana-3826	8	14	by	by	ADP
cana-3826	8	15	developing	develop	VERB
cana-3826	8	16	fuzzy	fuzzy	ADJ
cana-3826	8	17	hypersoft	hypersoft	PROPN
cana-3826	8	18	θ	θ	PROPN
cana-3826	8	19	(	(	PUNCT
cana-3826	8	20	resp	resp	NOUN
cana-3826	8	21	.	.	PUNCT
cana-3826	9	1	θ	θ	NOUN
cana-3826	9	2	semi	semi	ADV
cana-3826	9	3	&	&	CCONJ
cana-3826	9	4	θ	θ	PROPN
cana-3826	9	5	pre)-neighbourhood	pre)-neighbourhood	NOUN
cana-3826	9	6	with	with	ADP
cana-3826	9	7	respect	respect	NOUN
cana-3826	9	8	to	to	ADP
cana-3826	9	9	fuzzy	fuzzy	ADJ
cana-3826	9	10	hypersoft	hypersoft	ADJ
cana-3826	9	11	points	point	NOUN
cana-3826	9	12	.	.	PUNCT
cana-3826	10	1	also	also	ADV
cana-3826	10	2	,	,	PUNCT
cana-3826	10	3	the	the	DET
cana-3826	10	4	properties	property	NOUN
cana-3826	10	5	and	and	CCONJ
cana-3826	10	6	relations	relation	NOUN
cana-3826	10	7	between	between	ADP
cana-3826	10	8	fuzzy	fuzzy	ADJ
cana-3826	10	9	hypersoft	hypersoft	PROPN
cana-3826	10	10	θ	θ	PROPN
cana-3826	10	11	(	(	PUNCT
cana-3826	10	12	resp	resp	NOUN
cana-3826	10	13	.	.	PUNCT
cana-3826	11	1	θ	θ	NOUN
cana-3826	11	2	semi	semi	ADV
cana-3826	11	3	&	&	CCONJ
cana-3826	11	4	θ	θ	PROPN
cana-3826	11	5	pre)ti	pre)ti	NOUN
cana-3826	11	6	-	-	PUNCT
cana-3826	11	7	spaces	space	NOUN
cana-3826	11	8	(	(	PUNCT
cana-3826	11	9	i	i	NOUN
cana-3826	11	10	=	=	NOUN
cana-3826	11	11	0,1,2,3,4	0,1,2,3,4	NUM
cana-3826	11	12	)	)	PUNCT
cana-3826	11	13	are	be	AUX
cana-3826	11	14	discussed	discuss	VERB
cana-3826	11	15	.	.	PUNCT
cana-3826	12	1	keywords	keyword	NOUN
cana-3826	12	2	:	:	PUNCT
cana-3826	12	3	fhs	fhs	NOUN
cana-3826	12	4	θ	θ	PROPN
cana-3826	12	5	(	(	PUNCT
cana-3826	12	6	resp	resp	NOUN
cana-3826	12	7	.	.	PUNCT
cana-3826	13	1	θ	θ	NOUN
cana-3826	13	2	semi	semi	ADV
cana-3826	13	3	&	&	CCONJ
cana-3826	13	4	θ	θ	PROPN
cana-3826	13	5	pre)-neighbourhood	pre)-neighbourhood	NOUN
cana-3826	13	6	,	,	PUNCT
cana-3826	13	7	fhs	fhs	NOUN
cana-3826	13	8	θ	θ	PROPN
cana-3826	13	9	(	(	PUNCT
cana-3826	13	10	resp	resp	NOUN
cana-3826	13	11	.	.	PUNCT
cana-3826	14	1	θ	θ	NOUN
cana-3826	14	2	semi	semi	ADV
cana-3826	14	3	&	&	CCONJ
cana-3826	14	4	θ	θ	PROPN
cana-3826	14	5	pre)separation	pre)separation	PROPN
cana-3826	14	6	axioms	axiom	NOUN
cana-3826	14	7	,	,	PUNCT
cana-3826	14	8	fhs	fhs	NOUN
cana-3826	14	9	θ	θ	PROPN
cana-3826	14	10	(	(	PUNCT
cana-3826	14	11	resp	resp	NOUN
cana-3826	14	12	.	.	PUNCT
cana-3826	15	1	θ	θ	NOUN
cana-3826	15	2	semi	semi	ADV
cana-3826	15	3	&	&	CCONJ
cana-3826	15	4	θ	θ	PROPN
cana-3826	15	5	pre)ti	pre)ti	NOUN
cana-3826	15	6	-	-	PUNCT
cana-3826	15	7	spaces	space	NOUN
cana-3826	15	8	(	(	PUNCT
cana-3826	15	9	i	i	NOUN
cana-3826	15	10	=	=	NOUN
cana-3826	15	11	0,1,2,3,4	0,1,2,3,4	NUM
cana-3826	15	12	)	)	PUNCT
cana-3826	15	13	.	.	PUNCT
cana-3826	16	1	ams	am	NOUN
cana-3826	16	2	(	(	PUNCT
cana-3826	16	3	2000	2000	NUM
cana-3826	16	4	)	)	PUNCT
cana-3826	16	5	subject	subject	ADJ
cana-3826	16	6	classification	classification	NOUN
cana-3826	16	7	:	:	PUNCT
cana-3826	16	8	03e72	03e72	NUM
cana-3826	16	9	,	,	PUNCT
cana-3826	16	10	54a05	54a05	NUM
cana-3826	16	11	,	,	PUNCT
cana-3826	16	12	54a40	54a40	NUM
cana-3826	16	13	.	.	NOUN
cana-3826	16	14	1	1	NUM
cana-3826	16	15	introduction	introduction	NOUN
cana-3826	16	16	the	the	DET
cana-3826	16	17	real	real	ADJ
cana-3826	16	18	-	-	PUNCT
cana-3826	16	19	world	world	NOUN
cana-3826	16	20	decision	decision	NOUN
cana-3826	16	21	-	-	PUNCT
cana-3826	16	22	making	make	VERB
cana-3826	16	23	problems	problem	NOUN
cana-3826	16	24	in	in	ADP
cana-3826	16	25	medical	medical	ADJ
cana-3826	16	26	diagnosis	diagnosis	NOUN
cana-3826	16	27	,	,	PUNCT
cana-3826	16	28	engineering	engineering	NOUN
cana-3826	16	29	,	,	PUNCT
cana-3826	16	30	economics	economic	NOUN
cana-3826	16	31	,	,	PUNCT
cana-3826	16	32	management	management	NOUN
cana-3826	16	33	computer	computer	NOUN
cana-3826	16	34	science	science	NOUN
cana-3826	16	35	,	,	PUNCT
cana-3826	16	36	artificial	artificial	ADJ
cana-3826	16	37	intelligence	intelligence	NOUN
cana-3826	16	38	,	,	PUNCT
cana-3826	16	39	social	social	ADJ
cana-3826	16	40	sciences	science	NOUN
cana-3826	16	41	,	,	PUNCT
cana-3826	16	42	environmental	environmental	ADJ
cana-3826	16	43	science	science	NOUN
cana-3826	16	44	and	and	CCONJ
cana-3826	16	45	sociology	sociology	NOUN
cana-3826	16	46	contain	contain	VERB
cana-3826	16	47	more	more	ADV
cana-3826	16	48	uncertain	uncertain	ADJ
cana-3826	16	49	and	and	CCONJ
cana-3826	16	50	inadequate	inadequate	ADJ
cana-3826	16	51	data	datum	NOUN
cana-3826	16	52	.	.	PUNCT
cana-3826	17	1	traditional	traditional	ADJ
cana-3826	17	2	mathematical	mathematical	ADJ
cana-3826	17	3	methods	method	NOUN
cana-3826	17	4	can	can	AUX
cana-3826	17	5	not	not	PART
cana-3826	17	6	deal	deal	VERB
cana-3826	17	7	with	with	ADP
cana-3826	17	8	these	these	DET
cana-3826	17	9	kinds	kind	NOUN
cana-3826	17	10	of	of	ADP
cana-3826	17	11	problems	problem	NOUN
cana-3826	17	12	due	due	ADJ
cana-3826	17	13	to	to	ADP
cana-3826	17	14	imprecise	imprecise	ADJ
cana-3826	17	15	data	datum	NOUN
cana-3826	17	16	.	.	PUNCT
cana-3826	18	1	to	to	PART
cana-3826	18	2	deal	deal	VERB
cana-3826	18	3	with	with	ADP
cana-3826	18	4	the	the	DET
cana-3826	18	5	problems	problem	NOUN
cana-3826	18	6	with	with	ADP
cana-3826	18	7	uncertainty	uncertainty	NOUN
cana-3826	18	8	,	,	PUNCT
cana-3826	18	9	zadeh	zadeh	PROPN
cana-3826	19	1	[	[	X
cana-3826	19	2	29	29	NUM
cana-3826	19	3	]	]	PUNCT
cana-3826	19	4	introduced	introduce	VERB
cana-3826	19	5	the	the	DET
cana-3826	19	6	fuzzy	fuzzy	ADJ
cana-3826	19	7	set	set	NOUN
cana-3826	19	8	in	in	ADP
cana-3826	19	9	1965	1965	NUM
cana-3826	19	10	which	which	PRON
cana-3826	19	11	contains	contain	VERB
cana-3826	19	12	the	the	DET
cana-3826	19	13	membership	membership	NOUN
cana-3826	19	14	value	value	NOUN
cana-3826	19	15	in	in	ADP
cana-3826	19	16	[	[	X
cana-3826	19	17	0,1	0,1	NUM
cana-3826	19	18	]	]	PUNCT
cana-3826	19	19	.	.	PUNCT
cana-3826	20	1	a	a	DET
cana-3826	20	2	fuzzy	fuzzy	ADJ
cana-3826	20	3	set	set	NOUN
cana-3826	20	4	is	be	AUX
cana-3826	20	5	a	a	DET
cana-3826	20	6	set	set	NOUN
cana-3826	20	7	where	where	SCONJ
cana-3826	20	8	each	each	DET
cana-3826	20	9	element	element	NOUN
cana-3826	20	10	of	of	ADP
cana-3826	20	11	the	the	DET
cana-3826	20	12	universe	universe	NOUN
cana-3826	20	13	belongs	belong	VERB
cana-3826	20	14	to	to	ADP
cana-3826	20	15	it	it	PRON
cana-3826	20	16	but	but	CCONJ
cana-3826	20	17	with	with	ADP
cana-3826	20	18	some	some	DET
cana-3826	20	19	value	value	NOUN
cana-3826	20	20	or	or	CCONJ
cana-3826	20	21	degree	degree	NOUN
cana-3826	20	22	of	of	ADP
cana-3826	20	23	belongingness	belongingness	NOUN
cana-3826	20	24	which	which	PRON
cana-3826	20	25	lies	lie	VERB
cana-3826	20	26	between	between	ADP
cana-3826	20	27	0	0	NUM
cana-3826	20	28	and	and	CCONJ
cana-3826	20	29	1	1	NUM
cana-3826	20	30	and	and	CCONJ
cana-3826	20	31	such	such	ADJ
cana-3826	20	32	values	value	NOUN
cana-3826	20	33	are	be	AUX
cana-3826	20	34	called	call	VERB
cana-3826	20	35	the	the	DET
cana-3826	20	36	membership	membership	NOUN
cana-3826	20	37	value	value	NOUN
cana-3826	20	38	of	of	ADP
cana-3826	20	39	an	an	DET
cana-3826	20	40	element	element	NOUN
cana-3826	20	41	in	in	ADP
cana-3826	20	42	that	that	DET
cana-3826	20	43	set	set	NOUN
cana-3826	20	44	.	.	PUNCT
cana-3826	21	1	the	the	DET
cana-3826	21	2	topological	topological	ADJ
cana-3826	21	3	structure	structure	NOUN
cana-3826	21	4	on	on	ADP
cana-3826	21	5	fuzzy	fuzzy	ADJ
cana-3826	21	6	set	set	NOUN
cana-3826	21	7	was	be	AUX
cana-3826	21	8	undertaken	undertake	VERB
cana-3826	21	9	by	by	ADP
cana-3826	21	10	chang	chang	PROPN
cana-3826	22	1	[	[	X
cana-3826	22	2	9	9	NUM
cana-3826	22	3	]	]	PUNCT
cana-3826	22	4	as	as	ADP
cana-3826	22	5	fuzzy	fuzzy	ADJ
cana-3826	22	6	topological	topological	ADJ
cana-3826	22	7	space	space	NOUN
cana-3826	22	8	.	.	PUNCT
cana-3826	23	1	molodstov	molodstov	PROPN
cana-3826	24	1	[	[	X
cana-3826	24	2	12	12	NUM
cana-3826	24	3	]	]	PUNCT
cana-3826	24	4	introduced	introduce	VERB
cana-3826	24	5	a	a	DET
cana-3826	24	6	new	new	ADJ
cana-3826	24	7	mathematical	mathematical	ADJ
cana-3826	24	8	tool	tool	NOUN
cana-3826	24	9	,	,	PUNCT
cana-3826	24	10	soft	soft	ADJ
cana-3826	24	11	set	set	NOUN
cana-3826	24	12	theory	theory	NOUN
cana-3826	24	13	in	in	ADP
cana-3826	24	14	1999	1999	NUM
cana-3826	24	15	to	to	PART
cana-3826	24	16	deal	deal	VERB
cana-3826	24	17	with	with	ADP
cana-3826	24	18	uncertainties	uncertainty	NOUN
cana-3826	24	19	in	in	ADP
cana-3826	24	20	which	which	PRON
cana-3826	24	21	a	a	DET
cana-3826	24	22	soft	soft	ADJ
cana-3826	24	23	set	set	NOUN
cana-3826	24	24	is	be	AUX
cana-3826	24	25	a	a	DET
cana-3826	24	26	collection	collection	NOUN
cana-3826	24	27	of	of	ADP
cana-3826	24	28	approximate	approximate	ADJ
cana-3826	24	29	descriptions	description	NOUN
cana-3826	24	30	of	of	ADP
cana-3826	24	31	an	an	DET
cana-3826	24	32	object	object	NOUN
cana-3826	24	33	.	.	PUNCT
cana-3826	25	1	a	a	DET
cana-3826	25	2	soft	soft	ADJ
cana-3826	25	3	set	set	NOUN
cana-3826	25	4	is	be	AUX
cana-3826	25	5	a	a	DET
cana-3826	25	6	parameterized	parameterized	ADJ
cana-3826	25	7	family	family	NOUN
cana-3826	25	8	of	of	ADP
cana-3826	25	9	subsets	subset	NOUN
cana-3826	25	10	where	where	SCONJ
cana-3826	25	11	parameters	parameter	NOUN
cana-3826	25	12	are	be	AUX
cana-3826	25	13	the	the	DET
cana-3826	25	14	properties	property	NOUN
cana-3826	25	15	,	,	PUNCT
cana-3826	25	16	attributes	attribute	NOUN
cana-3826	25	17	or	or	CCONJ
cana-3826	25	18	characteristics	characteristic	NOUN
cana-3826	25	19	of	of	ADP
cana-3826	25	20	the	the	DET
cana-3826	25	21	objects	object	NOUN
cana-3826	25	22	.	.	PUNCT
cana-3826	26	1	the	the	DET
cana-3826	26	2	soft	soft	ADJ
cana-3826	26	3	set	set	NOUN
cana-3826	26	4	theory	theory	NOUN
cana-3826	26	5	has	have	VERB
cana-3826	26	6	several	several	ADJ
cana-3826	26	7	applications	application	NOUN
cana-3826	26	8	in	in	ADP
cana-3826	26	9	different	different	ADJ
cana-3826	26	10	fields	field	NOUN
cana-3826	26	11	such	such	ADJ
cana-3826	26	12	as	as	ADP
cana-3826	26	13	decision	decision	NOUN
cana-3826	26	14	-	-	PUNCT
cana-3826	26	15	making	making	NOUN
cana-3826	26	16	,	,	PUNCT
cana-3826	26	17	optimization	optimization	NOUN
cana-3826	26	18	,	,	PUNCT
cana-3826	26	19	forecasting	forecasting	NOUN
cana-3826	26	20	,	,	PUNCT
cana-3826	26	21	data	datum	NOUN
cana-3826	26	22	analysis	analysis	NOUN
cana-3826	26	23	etc	etc	X
cana-3826	26	24	.	.	X
cana-3826	27	1	shabir	shabir	PROPN
cana-3826	27	2	and	and	CCONJ
cana-3826	27	3	naz	naz	PROPN
cana-3826	27	4	[	[	X
cana-3826	27	5	23	23	NUM
cana-3826	27	6	]	]	PUNCT
cana-3826	27	7	presented	present	VERB
cana-3826	27	8	soft	soft	ADJ
cana-3826	27	9	topological	topological	ADJ
cana-3826	27	10	spaces	space	NOUN
cana-3826	27	11	.	.	PUNCT
cana-3826	28	1	smarandache	smarandache	NOUN
cana-3826	29	1	[	[	X
cana-3826	29	2	24	24	NUM
cana-3826	29	3	]	]	PUNCT
cana-3826	29	4	extended	extend	VERB
cana-3826	29	5	the	the	DET
cana-3826	29	6	notion	notion	NOUN
cana-3826	29	7	of	of	ADP
cana-3826	29	8	a	a	DET
cana-3826	29	9	soft	soft	ADJ
cana-3826	29	10	set	set	NOUN
cana-3826	29	11	to	to	ADP
cana-3826	29	12	a	a	DET
cana-3826	29	13	hypersoft	hypersoft	NOUN
cana-3826	29	14	set	set	NOUN
cana-3826	29	15	and	and	CCONJ
cana-3826	29	16	then	then	ADV
cana-3826	29	17	to	to	ADP
cana-3826	29	18	plithogenic	plithogenic	ADJ
cana-3826	29	19	set	set	VERB
cana-3826	29	20	by	by	ADP
cana-3826	29	21	replacing	replace	VERB
cana-3826	29	22	a	a	DET
cana-3826	29	23	function	function	NOUN
cana-3826	29	24	with	with	ADP
cana-3826	29	25	a	a	DET
cana-3826	29	26	multi	multi	ADJ
cana-3826	29	27	-	-	ADJ
cana-3826	29	28	argument	argument	ADJ
cana-3826	29	29	function	function	NOUN
cana-3826	29	30	described	describe	VERB
cana-3826	29	31	in	in	ADP
cana-3826	29	32	the	the	DET
cana-3826	29	33	cartesian	cartesian	ADJ
cana-3826	29	34	product	product	NOUN
cana-3826	29	35	with	with	ADP
cana-3826	29	36	a	a	DET
cana-3826	29	37	different	different	ADJ
cana-3826	29	38	set	set	NOUN
cana-3826	29	39	of	of	ADP
cana-3826	29	40	attributes	attribute	NOUN
cana-3826	29	41	.	.	PUNCT
cana-3826	30	1	this	this	DET
cana-3826	30	2	new	new	ADJ
cana-3826	30	3	concept	concept	NOUN
cana-3826	30	4	of	of	ADP
cana-3826	30	5	hypersoft	hypersoft	PROPN
cana-3826	30	6	set	set	NOUN
cana-3826	30	7	is	be	AUX
cana-3826	30	8	more	more	ADV
cana-3826	30	9	flexible	flexible	ADJ
cana-3826	30	10	than	than	ADP
cana-3826	30	11	the	the	DET
cana-3826	30	12	soft	soft	ADJ
cana-3826	30	13	set	set	NOUN
cana-3826	30	14	and	and	CCONJ
cana-3826	30	15	more	more	ADV
cana-3826	30	16	suitable	suitable	ADJ
cana-3826	30	17	in	in	ADP
cana-3826	30	18	decision	decision	NOUN
cana-3826	30	19	-	-	PUNCT
cana-3826	30	20	making	make	VERB
cana-3826	30	21	issues	issue	NOUN
cana-3826	30	22	involving	involve	VERB
cana-3826	30	23	a	a	DET
cana-3826	30	24	different	different	ADJ
cana-3826	30	25	kinds	kind	NOUN
cana-3826	30	26	of	of	ADP
cana-3826	30	27	attributes	attribute	NOUN
cana-3826	30	28	.	.	PUNCT
cana-3826	31	1	communications	communication	NOUN
cana-3826	31	2	on	on	ADP
cana-3826	31	3	applied	apply	VERB
cana-3826	31	4	nonlinear	nonlinear	ADJ
cana-3826	31	5	analysis	analysis	NOUN
cana-3826	31	6	issn	issn	NOUN
cana-3826	31	7	:	:	PUNCT
cana-3826	31	8	1074	1074	NUM
cana-3826	31	9	-	-	PUNCT
cana-3826	31	10	133x	133x	NUM
cana-3826	31	11	vol	vol	NOUN
cana-3826	31	12	32	32	NUM
cana-3826	31	13	no	no	NOUN
cana-3826	31	14	.	.	PUNCT
cana-3826	32	1	8s	8s	PROPN
cana-3826	32	2	(	(	PUNCT
cana-3826	32	3	2025	2025	NUM
cana-3826	32	4	)	)	PUNCT
cana-3826	32	5	836	836	NUM
cana-3826	32	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	32	7	saeed	saeed	PROPN
cana-3826	32	8	et	et	PROPN
cana-3826	32	9	al	al	PROPN
cana-3826	32	10	.	.	PUNCT
cana-3826	33	1	[	[	X
cana-3826	33	2	20	20	NUM
cana-3826	33	3	,	,	PUNCT
cana-3826	33	4	21	21	NUM
cana-3826	33	5	]	]	PUNCT
cana-3826	33	6	studied	study	VERB
cana-3826	33	7	the	the	DET
cana-3826	33	8	fundamentals	fundamental	NOUN
cana-3826	33	9	of	of	ADP
cana-3826	33	10	hypersoft	hypersoft	NOUN
cana-3826	33	11	set	set	VERB
cana-3826	33	12	theory	theory	NOUN
cana-3826	33	13	by	by	ADP
cana-3826	33	14	introducing	introduce	VERB
cana-3826	33	15	aggregate	aggregate	ADJ
cana-3826	33	16	operators	operator	NOUN
cana-3826	33	17	,	,	PUNCT
cana-3826	33	18	relations	relation	NOUN
cana-3826	33	19	,	,	PUNCT
cana-3826	33	20	functions	function	NOUN
cana-3826	33	21	,	,	PUNCT
cana-3826	33	22	matrices	matrix	NOUN
cana-3826	33	23	and	and	CCONJ
cana-3826	33	24	operations	operation	NOUN
cana-3826	33	25	on	on	ADP
cana-3826	33	26	hypersoft	hypersoft	NOUN
cana-3826	33	27	matrices	matrix	NOUN
cana-3826	33	28	.	.	PUNCT
cana-3826	34	1	abbas	abbas	PROPN
cana-3826	34	2	et	et	PROPN
cana-3826	34	3	al	al	PROPN
cana-3826	34	4	.	.	PUNCT
cana-3826	35	1	[	[	X
cana-3826	35	2	2	2	X
cana-3826	35	3	]	]	PUNCT
cana-3826	35	4	defined	define	VERB
cana-3826	35	5	the	the	DET
cana-3826	35	6	basic	basic	ADJ
cana-3826	35	7	operations	operation	NOUN
cana-3826	35	8	on	on	ADP
cana-3826	35	9	hypersoft	hypersoft	NOUN
cana-3826	35	10	sets	set	NOUN
cana-3826	35	11	and	and	CCONJ
cana-3826	35	12	hypersoft	hypersoft	ADJ
cana-3826	35	13	point	point	NOUN
cana-3826	35	14	in	in	ADP
cana-3826	35	15	the	the	DET
cana-3826	35	16	fuzzy	fuzzy	ADJ
cana-3826	35	17	,	,	PUNCT
cana-3826	35	18	intuitionistic	intuitionistic	ADJ
cana-3826	35	19	and	and	CCONJ
cana-3826	35	20	neutrosophic	neutrosophic	ADJ
cana-3826	35	21	environments	environment	NOUN
cana-3826	35	22	.	.	PUNCT
cana-3826	36	1	ajay	ajay	NOUN
cana-3826	36	2	and	and	CCONJ
cana-3826	36	3	charisma	charisma	VERB
cana-3826	36	4	[	[	X
cana-3826	36	5	3	3	NUM
cana-3826	36	6	]	]	PUNCT
cana-3826	36	7	introduced	introduce	VERB
cana-3826	36	8	fuzzy	fuzzy	ADJ
cana-3826	36	9	hypersoft	hypersoft	NOUN
cana-3826	36	10	topology	topology	NOUN
cana-3826	36	11	,	,	PUNCT
cana-3826	36	12	intuitionistic	intuitionistic	ADJ
cana-3826	36	13	hypersoft	hypersoft	NOUN
cana-3826	36	14	topology	topology	NOUN
cana-3826	36	15	and	and	CCONJ
cana-3826	36	16	neutrosophic	neutrosophic	ADJ
cana-3826	36	17	hypersoft	hypersoft	NOUN
cana-3826	36	18	topology	topology	NOUN
cana-3826	36	19	.	.	PUNCT
cana-3826	37	1	neutrosophic	neutrosophic	ADJ
cana-3826	37	2	hypersoft	hypersoft	PROPN
cana-3826	37	3	topology	topology	NOUN
cana-3826	37	4	is	be	AUX
cana-3826	37	5	the	the	DET
cana-3826	37	6	generalized	generalize	VERB
cana-3826	37	7	framework	framework	NOUN
cana-3826	37	8	which	which	PRON
cana-3826	37	9	generalizes	generalize	VERB
cana-3826	37	10	intuitionistic	intuitionistic	ADJ
cana-3826	37	11	hypersoft	hypersoft	NOUN
cana-3826	37	12	topology	topology	NOUN
cana-3826	37	13	and	and	CCONJ
cana-3826	37	14	fuzzy	fuzzy	ADJ
cana-3826	37	15	hypersoft	hypersoft	NOUN
cana-3826	37	16	topology	topology	NOUN
cana-3826	37	17	.	.	PUNCT
cana-3826	38	1	saha	saha	PROPN
cana-3826	39	1	[	[	X
cana-3826	39	2	22	22	NUM
cana-3826	39	3	]	]	PUNCT
cana-3826	39	4	defined	define	VERB
cana-3826	39	5	δ	δ	PROPN
cana-3826	39	6	-	-	ADJ
cana-3826	39	7	open	open	ADJ
cana-3826	39	8	sets	set	NOUN
cana-3826	39	9	and	and	CCONJ
cana-3826	39	10	continuous	continuous	ADJ
cana-3826	39	11	maps	map	NOUN
cana-3826	39	12	in	in	ADP
cana-3826	39	13	fuzzy	fuzzy	ADJ
cana-3826	39	14	topological	topological	ADJ
cana-3826	39	15	spaces	space	NOUN
cana-3826	39	16	.	.	PUNCT
cana-3826	40	1	aranganayagi	aranganayagi	NOUN
cana-3826	40	2	et	et	PROPN
cana-3826	40	3	al	al	PROPN
cana-3826	40	4	.	.	PROPN
cana-3826	40	5	,	,	PUNCT
cana-3826	40	6	revathi	revathi	PROPN
cana-3826	40	7	et	et	PROPN
cana-3826	40	8	al	al	PROPN
cana-3826	40	9	.	.	PROPN
cana-3826	40	10	,	,	PUNCT
cana-3826	40	11	surendra	surendra	PROPN
cana-3826	40	12	et	et	PROPN
cana-3826	40	13	al	al	PROPN
cana-3826	40	14	.	.	PROPN
cana-3826	41	1	and	and	CCONJ
cana-3826	41	2	vadivel	vadivel	VERB
cana-3826	41	3	et	et	PROPN
cana-3826	41	4	al	al	PROPN
cana-3826	41	5	.	.	PUNCT
cana-3826	42	1	[	[	X
cana-3826	42	2	4	4	NUM
cana-3826	42	3	,	,	PUNCT
cana-3826	42	4	5	5	NUM
cana-3826	42	5	,	,	PUNCT
cana-3826	42	6	14	14	NUM
cana-3826	42	7	,	,	PUNCT
cana-3826	42	8	15	15	NUM
cana-3826	42	9	,	,	PUNCT
cana-3826	42	10	16	16	NUM
cana-3826	42	11	,	,	PUNCT
cana-3826	42	12	18	18	NUM
cana-3826	42	13	,	,	PUNCT
cana-3826	42	14	25	25	NUM
cana-3826	42	15	,	,	PUNCT
cana-3826	42	16	26	26	NUM
cana-3826	42	17	,	,	PUNCT
cana-3826	42	18	27	27	NUM
cana-3826	42	19	]	]	PUNCT
cana-3826	42	20	introduced	introduce	VERB
cana-3826	42	21	δ	δ	PROPN
cana-3826	42	22	-	-	ADJ
cana-3826	42	23	open	open	ADJ
cana-3826	42	24	sets	set	NOUN
cana-3826	42	25	,	,	PUNCT
cana-3826	42	26	e	e	ADJ
cana-3826	42	27	-	-	ADJ
cana-3826	42	28	open	open	ADJ
cana-3826	42	29	sets	set	NOUN
cana-3826	42	30	in	in	ADP
cana-3826	42	31	neutrosophic	neutrosophic	ADJ
cana-3826	42	32	,	,	PUNCT
cana-3826	42	33	neutrosophic	neutrosophic	ADJ
cana-3826	42	34	soft	soft	ADJ
cana-3826	42	35	,	,	PUNCT
cana-3826	42	36	fuzzy	fuzzy	ADJ
cana-3826	42	37	hypersoft	hypersoft	NOUN
cana-3826	42	38	,	,	PUNCT
cana-3826	42	39	neutrosophic	neutrosophic	ADJ
cana-3826	42	40	hypersoft	hypersoft	PROPN
cana-3826	42	41	topological	topological	ADJ
cana-3826	42	42	spaces	space	NOUN
cana-3826	42	43	and	and	CCONJ
cana-3826	42	44	studied	study	VERB
cana-3826	42	45	its	its	PRON
cana-3826	42	46	maps	map	NOUN
cana-3826	42	47	,	,	PUNCT
cana-3826	42	48	separation	separation	NOUN
cana-3826	42	49	axioms	axiom	NOUN
cana-3826	42	50	and	and	CCONJ
cana-3826	42	51	compact	compact	ADJ
cana-3826	42	52	spaces	space	NOUN
cana-3826	42	53	.	.	PUNCT
cana-3826	43	1	in	in	ADP
cana-3826	43	2	2023	2023	NUM
cana-3826	43	3	,	,	PUNCT
cana-3826	43	4	revathi	revathi	PROPN
cana-3826	43	5	et	et	PROPN
cana-3826	43	6	al	al	PROPN
cana-3826	43	7	.	.	PUNCT
cana-3826	44	1	[	[	X
cana-3826	44	2	17	17	NUM
cana-3826	44	3	]	]	PUNCT
cana-3826	44	4	developed	develop	VERB
cana-3826	44	5	contra	contra	PROPN
cana-3826	44	6	e	e	NOUN
cana-3826	44	7	-	-	ADJ
cana-3826	44	8	continuous	continuous	ADJ
cana-3826	44	9	maps	map	NOUN
cana-3826	44	10	in	in	ADP
cana-3826	44	11	neutrosophic	neutrosophic	ADJ
cana-3826	44	12	soft	soft	ADJ
cana-3826	44	13	topological	topological	ADJ
cana-3826	44	14	spaces	space	NOUN
cana-3826	44	15	.	.	PUNCT
cana-3826	45	1	in	in	ADP
cana-3826	45	2	2019	2019	NUM
cana-3826	45	3	,	,	PUNCT
cana-3826	45	4	the	the	DET
cana-3826	45	5	separation	separation	NOUN
cana-3826	45	6	axioms	axiom	VERB
cana-3826	45	7	on	on	ADP
cana-3826	45	8	neutrosophic	neutrosophic	ADJ
cana-3826	45	9	soft	soft	ADJ
cana-3826	45	10	topological	topological	ADJ
cana-3826	45	11	spaces	space	NOUN
cana-3826	45	12	were	be	AUX
cana-3826	45	13	studied	study	VERB
cana-3826	45	14	by	by	ADP
cana-3826	45	15	aras	aras	PROPN
cana-3826	45	16	et	et	PROPN
cana-3826	45	17	al	al	PROPN
cana-3826	45	18	.	.	PUNCT
cana-3826	46	1	[	[	X
cana-3826	46	2	6	6	NUM
cana-3826	46	3	]	]	PUNCT
cana-3826	46	4	.	.	PUNCT
cana-3826	47	1	the	the	DET
cana-3826	47	2	soft	soft	ADJ
cana-3826	47	3	b	b	NOUN
cana-3826	47	4	-	-	PUNCT
cana-3826	47	5	separation	separation	NOUN
cana-3826	47	6	axioms	axiom	NOUN
cana-3826	47	7	were	be	AUX
cana-3826	47	8	introduced	introduce	VERB
cana-3826	47	9	by	by	ADP
cana-3826	47	10	khattak	khattak	PROPN
cana-3826	47	11	et	et	PROPN
cana-3826	47	12	al	al	PROPN
cana-3826	47	13	.	.	PUNCT
cana-3826	48	1	[	[	X
cana-3826	48	2	11	11	NUM
cana-3826	48	3	]	]	PUNCT
cana-3826	48	4	and	and	CCONJ
cana-3826	48	5	preseparation	preseparation	NOUN
cana-3826	48	6	axioms	axiom	NOUN
cana-3826	48	7	were	be	AUX
cana-3826	48	8	developed	develop	VERB
cana-3826	48	9	by	by	ADP
cana-3826	48	10	acikgoz	acikgoz	PROPN
cana-3826	48	11	et	et	PROPN
cana-3826	48	12	al	al	PROPN
cana-3826	48	13	.	.	PUNCT
cana-3826	49	1	[	[	X
cana-3826	49	2	1	1	X
cana-3826	49	3	]	]	PUNCT
cana-3826	49	4	in	in	ADP
cana-3826	49	5	neutrosophic	neutrosophic	ADJ
cana-3826	49	6	soft	soft	ADJ
cana-3826	49	7	topological	topological	ADJ
cana-3826	49	8	spaces	space	NOUN
cana-3826	49	9	.	.	PUNCT
cana-3826	50	1	gunduz	gunduz	VERB
cana-3826	50	2	et	et	PROPN
cana-3826	50	3	al	al	PROPN
cana-3826	50	4	.	.	PUNCT
cana-3826	51	1	[	[	X
cana-3826	51	2	10	10	NUM
cana-3826	51	3	]	]	PUNCT
cana-3826	51	4	and	and	CCONJ
cana-3826	51	5	ozturk	ozturk	X
cana-3826	52	1	[	[	X
cana-3826	52	2	13	13	NUM
cana-3826	52	3	]	]	PUNCT
cana-3826	52	4	introduced	introduce	VERB
cana-3826	52	5	separation	separation	NOUN
cana-3826	52	6	axioms	axiom	NOUN
cana-3826	52	7	in	in	ADP
cana-3826	52	8	neutrosophic	neutrosophic	ADJ
cana-3826	52	9	hypersoft	hypersoft	NOUN
cana-3826	52	10	and	and	CCONJ
cana-3826	52	11	fuzzy	fuzzy	ADJ
cana-3826	53	1	hypersoft	hypersoft	PROPN
cana-3826	53	2	topological	topological	ADJ
cana-3826	53	3	spaces	space	NOUN
cana-3826	53	4	.	.	PUNCT
cana-3826	54	1	the	the	DET
cana-3826	54	2	class	class	NOUN
cana-3826	54	3	of	of	ADP
cana-3826	54	4	sets	set	NOUN
cana-3826	54	5	namely	namely	ADV
cana-3826	54	6	,	,	PUNCT
cana-3826	54	7	θ	θ	PROPN
cana-3826	54	8	open	open	ADJ
cana-3826	54	9	sets	set	NOUN
cana-3826	54	10	are	be	AUX
cana-3826	54	11	playing	play	VERB
cana-3826	54	12	more	more	ADV
cana-3826	54	13	important	important	ADJ
cana-3826	54	14	role	role	NOUN
cana-3826	54	15	in	in	ADP
cana-3826	54	16	topological	topological	ADJ
cana-3826	54	17	spaces	space	NOUN
cana-3826	54	18	,	,	PUNCT
cana-3826	54	19	because	because	SCONJ
cana-3826	54	20	of	of	ADP
cana-3826	54	21	their	their	PRON
cana-3826	54	22	applications	application	NOUN
cana-3826	54	23	in	in	ADP
cana-3826	54	24	various	various	ADJ
cana-3826	54	25	fields	field	NOUN
cana-3826	54	26	of	of	ADP
cana-3826	54	27	mathematics	mathematic	NOUN
cana-3826	54	28	and	and	CCONJ
cana-3826	54	29	other	other	ADJ
cana-3826	54	30	real	real	ADJ
cana-3826	54	31	fields	field	NOUN
cana-3826	54	32	.	.	PUNCT
cana-3826	55	1	in	in	ADP
cana-3826	55	2	1968	1968	NUM
cana-3826	55	3	velicko	velicko	NOUN
cana-3826	55	4	[	[	X
cana-3826	55	5	28	28	NUM
cana-3826	55	6	]	]	X
cana-3826	55	7	defined	define	VERB
cana-3826	55	8	θ	θ	PROPN
cana-3826	55	9	open	open	ADJ
cana-3826	55	10	set	set	VERB
cana-3826	55	11	in	in	ADP
cana-3826	55	12	h	h	NOUN
cana-3826	55	13	-	-	PUNCT
cana-3826	55	14	closed	closed	ADJ
cana-3826	55	15	topological	topological	ADJ
cana-3826	55	16	spaces	space	NOUN
cana-3826	55	17	.	.	PUNCT
cana-3826	56	1	in	in	ADP
cana-3826	56	2	[	[	X
cana-3826	56	3	7	7	NUM
cana-3826	56	4	,	,	PUNCT
cana-3826	56	5	8	8	NUM
cana-3826	56	6	]	]	PUNCT
cana-3826	56	7	,	,	PUNCT
cana-3826	56	8	caldas	caldas	PROPN
cana-3826	56	9	et	et	PROPN
cana-3826	56	10	al	al	PROPN
cana-3826	56	11	.	.	PROPN
cana-3826	56	12	studied	study	VERB
cana-3826	56	13	various	various	ADJ
cana-3826	56	14	kinds	kind	NOUN
cana-3826	56	15	of	of	ADP
cana-3826	56	16	θ	θ	PROPN
cana-3826	56	17	open	open	ADJ
cana-3826	56	18	sets	set	NOUN
cana-3826	56	19	and	and	CCONJ
cana-3826	56	20	their	their	PRON
cana-3826	56	21	properties	property	NOUN
cana-3826	56	22	in	in	ADP
cana-3826	56	23	topological	topological	ADJ
cana-3826	56	24	spaces	space	NOUN
cana-3826	56	25	.	.	PUNCT
cana-3826	57	1	revathi	revathi	PROPN
cana-3826	57	2	et	et	PROPN
cana-3826	57	3	al	al	PROPN
cana-3826	57	4	.	.	PUNCT
cana-3826	58	1	[	[	X
cana-3826	58	2	19	19	NUM
cana-3826	58	3	]	]	PUNCT
cana-3826	58	4	introduced	introduce	VERB
cana-3826	58	5	θ	θ	PROPN
cana-3826	58	6	open	open	ADJ
cana-3826	58	7	sets	set	NOUN
cana-3826	58	8	and	and	CCONJ
cana-3826	58	9	studied	study	VERB
cana-3826	58	10	its	its	PRON
cana-3826	58	11	maps	map	NOUN
cana-3826	58	12	in	in	ADP
cana-3826	58	13	fuzzy	fuzzy	ADJ
cana-3826	58	14	hypersoft	hypersoft	PROPN
cana-3826	58	15	topological	topological	ADJ
cana-3826	58	16	spaces	space	NOUN
cana-3826	58	17	.	.	PUNCT
cana-3826	59	1	the	the	DET
cana-3826	59	2	goal	goal	NOUN
cana-3826	59	3	of	of	ADP
cana-3826	59	4	this	this	DET
cana-3826	59	5	paper	paper	NOUN
cana-3826	59	6	is	be	AUX
cana-3826	59	7	to	to	PART
cana-3826	59	8	define	define	VERB
cana-3826	59	9	the	the	DET
cana-3826	59	10	notions	notion	NOUN
cana-3826	59	11	of	of	ADP
cana-3826	59	12	fuzzy	fuzzy	ADJ
cana-3826	59	13	hypersoft	hypersoft	PROPN
cana-3826	59	14	θ	θ	PROPN
cana-3826	59	15	(	(	PUNCT
cana-3826	59	16	resp	resp	NOUN
cana-3826	59	17	.	.	PUNCT
cana-3826	60	1	semi	semi	ADJ
cana-3826	60	2	,	,	PUNCT
cana-3826	60	3	pre	pre	ADJ
cana-3826	60	4	,	,	PUNCT
cana-3826	60	5	θ	θ	PROPN
cana-3826	60	6	semi	semi	NOUN
cana-3826	60	7	&	&	CCONJ
cana-3826	60	8	θ	θ	PROPN
cana-3826	60	9	pre)-neighbourhood	pre)-neighbourhood	NOUN
cana-3826	60	10	and	and	CCONJ
cana-3826	60	11	fuzzy	fuzzy	ADJ
cana-3826	60	12	hypersoft	hypersoft	PROPN
cana-3826	60	13	θ	θ	PROPN
cana-3826	60	14	(	(	PUNCT
cana-3826	60	15	resp	resp	NOUN
cana-3826	60	16	.	.	PUNCT
cana-3826	61	1	semi	semi	ADJ
cana-3826	61	2	,	,	PUNCT
cana-3826	61	3	pre	pre	ADJ
cana-3826	61	4	,	,	PUNCT
cana-3826	61	5	θ	θ	PROPN
cana-3826	61	6	semi	semi	NOUN
cana-3826	61	7	&	&	CCONJ
cana-3826	61	8	θ	θ	PROPN
cana-3826	61	9	pre)-separation	pre)-separation	NOUN
cana-3826	61	10	axioms	axiom	NOUN
cana-3826	61	11	in	in	ADP
cana-3826	61	12	fuzzy	fuzzy	ADJ
cana-3826	61	13	hypersoft	hypersoft	PROPN
cana-3826	61	14	topological	topological	ADJ
cana-3826	61	15	spaces	space	NOUN
cana-3826	61	16	using	use	VERB
cana-3826	61	17	fuzzy	fuzzy	ADJ
cana-3826	61	18	hypersoft	hypersoft	ADJ
cana-3826	61	19	points	point	NOUN
cana-3826	61	20	.	.	PUNCT
cana-3826	62	1	in	in	ADP
cana-3826	62	2	addition	addition	NOUN
cana-3826	62	3	,	,	PUNCT
cana-3826	62	4	the	the	DET
cana-3826	62	5	characteristics	characteristic	NOUN
cana-3826	62	6	of	of	ADP
cana-3826	62	7	fuzzy	fuzzy	ADJ
cana-3826	62	8	hypersoft	hypersoft	PROPN
cana-3826	62	9	θ	θ	PROPN
cana-3826	62	10	(	(	PUNCT
cana-3826	62	11	resp	resp	NOUN
cana-3826	62	12	.	.	PUNCT
cana-3826	63	1	semi	semi	ADJ
cana-3826	63	2	,	,	PUNCT
cana-3826	63	3	pre	pre	ADJ
cana-3826	63	4	,	,	PUNCT
cana-3826	63	5	θ	θ	PROPN
cana-3826	63	6	semi	semi	NOUN
cana-3826	63	7	&	&	CCONJ
cana-3826	63	8	θ	θ	PROPN
cana-3826	63	9	pre)tispaces	pre)tispace	NOUN
cana-3826	63	10	(	(	PUNCT
cana-3826	63	11	i	i	NOUN
cana-3826	63	12	=	=	NOUN
cana-3826	63	13	0,1,2,3,4	0,1,2,3,4	NUM
cana-3826	63	14	)	)	PUNCT
cana-3826	63	15	and	and	CCONJ
cana-3826	63	16	relations	relation	NOUN
cana-3826	63	17	between	between	ADP
cana-3826	63	18	them	they	PRON
cana-3826	63	19	are	be	AUX
cana-3826	63	20	studied	study	VERB
cana-3826	63	21	.	.	PUNCT
cana-3826	64	1	preliminaries	preliminary	NOUN
cana-3826	64	2	definition	definition	NOUN
cana-3826	64	3	2.1	2.1	NUM
cana-3826	65	1	[	[	SYM
cana-3826	65	2	29	29	NUM
cana-3826	65	3	]	]	PUNCT
cana-3826	65	4	let	let	VERB
cana-3826	65	5	𝔐	𝔐	PRON
cana-3826	65	6	be	be	AUX
cana-3826	65	7	an	an	DET
cana-3826	65	8	initial	initial	ADJ
cana-3826	65	9	universe	universe	NOUN
cana-3826	65	10	.	.	PUNCT
cana-3826	66	1	a	a	DET
cana-3826	66	2	function	function	NOUN
cana-3826	66	3	λ	λ	NOUN
cana-3826	66	4	from	from	ADP
cana-3826	66	5	𝔐	𝔐	PRON
cana-3826	66	6	into	into	ADP
cana-3826	66	7	the	the	DET
cana-3826	66	8	unit	unit	NOUN
cana-3826	66	9	interval	interval	NOUN
cana-3826	66	10	i	i	PRON
cana-3826	66	11	is	be	AUX
cana-3826	66	12	called	call	VERB
cana-3826	66	13	a	a	DET
cana-3826	66	14	fuzzy	fuzzy	ADJ
cana-3826	66	15	set	set	NOUN
cana-3826	66	16	in	in	ADP
cana-3826	66	17	𝔐.	𝔐.	PROPN
cana-3826	66	18	for	for	ADP
cana-3826	66	19	every	every	DET
cana-3826	66	20	𝔪	𝔪	NOUN
cana-3826	66	21	∈	∈	PROPN
cana-3826	66	22	𝔐	𝔐	PROPN
cana-3826	66	23	,	,	PUNCT
cana-3826	66	24	λ(𝔪	λ(𝔪	NUM
cana-3826	66	25	)	)	PUNCT
cana-3826	66	26	∈	∈	NOUN
cana-3826	67	1	i	i	PRON
cana-3826	67	2	is	be	AUX
cana-3826	67	3	called	call	VERB
cana-3826	67	4	the	the	DET
cana-3826	67	5	grade	grade	NOUN
cana-3826	67	6	of	of	ADP
cana-3826	67	7	membership	membership	NOUN
cana-3826	67	8	of	of	ADP
cana-3826	67	9	𝔪	𝔪	NOUN
cana-3826	67	10	in	in	ADP
cana-3826	67	11	λ	λ	NOUN
cana-3826	67	12	.	.	PUNCT
cana-3826	68	1	some	some	DET
cana-3826	68	2	authors	author	NOUN
cana-3826	68	3	say	say	VERB
cana-3826	68	4	that	that	SCONJ
cana-3826	68	5	λ	λ	PROPN
cana-3826	68	6	is	be	AUX
cana-3826	68	7	a	a	DET
cana-3826	68	8	fuzzy	fuzzy	ADJ
cana-3826	68	9	subset	subset	NOUN
cana-3826	68	10	of	of	ADP
cana-3826	68	11	𝔐	𝔐	PRON
cana-3826	68	12	instead	instead	ADV
cana-3826	68	13	of	of	ADP
cana-3826	68	14	saying	say	VERB
cana-3826	68	15	that	that	SCONJ
cana-3826	68	16	λ	λ	PROPN
cana-3826	68	17	is	be	AUX
cana-3826	68	18	a	a	DET
cana-3826	68	19	fuzzy	fuzzy	ADJ
cana-3826	68	20	set	set	NOUN
cana-3826	68	21	in	in	ADP
cana-3826	68	22	𝔐.	𝔐.	PROPN
cana-3826	68	23	the	the	DET
cana-3826	68	24	class	class	NOUN
cana-3826	68	25	of	of	ADP
cana-3826	68	26	all	all	DET
cana-3826	68	27	fuzzy	fuzzy	ADJ
cana-3826	68	28	sets	set	NOUN
cana-3826	68	29	from	from	ADP
cana-3826	68	30	𝔐	𝔐	PRON
cana-3826	68	31	into	into	ADP
cana-3826	68	32	the	the	DET
cana-3826	68	33	closed	closed	ADJ
cana-3826	68	34	unit	unit	NOUN
cana-3826	68	35	interval	interval	NOUN
cana-3826	68	36	i	i	PRON
cana-3826	68	37	will	will	AUX
cana-3826	68	38	be	be	AUX
cana-3826	68	39	denoted	denote	VERB
cana-3826	68	40	by	by	ADP
cana-3826	68	41	i𝔐.	i𝔐.	NOUN
cana-3826	68	42	definition	definition	NOUN
cana-3826	68	43	2.2	2.2	NUM
cana-3826	68	44	[	[	X
cana-3826	68	45	12	12	NUM
cana-3826	68	46	]	]	PUNCT
cana-3826	68	47	let	let	VERB
cana-3826	68	48	𝔐	𝔐	PRON
cana-3826	68	49	be	be	AUX
cana-3826	68	50	an	an	DET
cana-3826	68	51	initial	initial	ADJ
cana-3826	68	52	universe	universe	NOUN
cana-3826	68	53	,	,	PUNCT
cana-3826	68	54	q	q	PUNCT
cana-3826	68	55	be	be	AUX
cana-3826	68	56	a	a	DET
cana-3826	68	57	set	set	NOUN
cana-3826	68	58	of	of	ADP
cana-3826	68	59	parameters	parameter	NOUN
cana-3826	68	60	and	and	CCONJ
cana-3826	68	61	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	68	62	)	)	PUNCT
cana-3826	68	63	be	be	VERB
cana-3826	68	64	the	the	DET
cana-3826	68	65	power	power	NOUN
cana-3826	68	66	set	set	NOUN
cana-3826	68	67	of	of	ADP
cana-3826	68	68	𝔐.	𝔐.	PROPN
cana-3826	68	69	a	a	DET
cana-3826	68	70	pair	pair	NOUN
cana-3826	68	71	(	(	PUNCT
cana-3826	68	72	φ̃,∧	φ̃,∧	NOUN
cana-3826	68	73	)	)	PUNCT
cana-3826	68	74	is	be	AUX
cana-3826	68	75	called	call	VERB
cana-3826	68	76	the	the	DET
cana-3826	68	77	a	a	DET
cana-3826	68	78	soft	soft	ADJ
cana-3826	68	79	set	set	NOUN
cana-3826	68	80	over	over	ADP
cana-3826	68	81	𝔐	𝔐	NOUN
cana-3826	68	82	where	where	SCONJ
cana-3826	68	83	φ̃	φ̃	PROPN
cana-3826	68	84	is	be	AUX
cana-3826	68	85	a	a	DET
cana-3826	68	86	mapping	mapping	NOUN
cana-3826	68	87	φ̃	φ̃	NOUN
cana-3826	68	88	:	:	PUNCT
cana-3826	68	89	q	q	NOUN
cana-3826	68	90	→	→	SYM
cana-3826	68	91	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	68	92	)	)	PUNCT
cana-3826	68	93	.	.	PUNCT
cana-3826	69	1	in	in	ADP
cana-3826	69	2	other	other	ADJ
cana-3826	69	3	words	word	NOUN
cana-3826	69	4	,	,	PUNCT
cana-3826	69	5	the	the	DET
cana-3826	69	6	soft	soft	ADJ
cana-3826	69	7	set	set	NOUN
cana-3826	69	8	is	be	AUX
cana-3826	69	9	a	a	DET
cana-3826	69	10	parametrized	parametrized	ADJ
cana-3826	69	11	family	family	NOUN
cana-3826	69	12	of	of	ADP
cana-3826	69	13	subsets	subset	NOUN
cana-3826	69	14	of	of	ADP
cana-3826	69	15	the	the	DET
cana-3826	69	16	set	set	ADJ
cana-3826	69	17	𝔐.	𝔐.	PROPN
cana-3826	69	18	definition	definition	NOUN
cana-3826	69	19	2.3	2.3	NUM
cana-3826	69	20	[	[	X
cana-3826	69	21	24	24	NUM
cana-3826	69	22	]	]	PUNCT
cana-3826	69	23	let	let	VERB
cana-3826	69	24	𝔐	𝔐	PRON
cana-3826	69	25	be	be	AUX
cana-3826	69	26	an	an	DET
cana-3826	69	27	initial	initial	ADJ
cana-3826	69	28	universe	universe	NOUN
cana-3826	69	29	and	and	CCONJ
cana-3826	69	30	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	69	31	)	)	PUNCT
cana-3826	69	32	be	be	VERB
cana-3826	69	33	the	the	DET
cana-3826	69	34	power	power	NOUN
cana-3826	69	35	set	set	NOUN
cana-3826	69	36	of	of	ADP
cana-3826	69	37	𝔐.	𝔐.	PROPN
cana-3826	69	38	consider	consider	VERB
cana-3826	69	39	𝔮1	𝔮1	PROPN
cana-3826	69	40	,	,	PUNCT
cana-3826	69	41	𝔮2	𝔮2	ADV
cana-3826	69	42	,	,	PUNCT
cana-3826	69	43	𝔮3	𝔮3	PROPN
cana-3826	69	44	,	,	PUNCT
cana-3826	69	45	.	.	PUNCT
cana-3826	69	46	.	.	PUNCT
cana-3826	70	1	.	.	PUNCT
cana-3826	71	1	,	,	PUNCT
cana-3826	71	2	𝔮n	𝔮n	X
cana-3826	71	3	for	for	ADP
cana-3826	71	4	n	n	PRON
cana-3826	71	5	≥	≥	NUM
cana-3826	71	6	1	1	NUM
cana-3826	71	7	,	,	PUNCT
cana-3826	71	8	be	be	AUX
cana-3826	71	9	n	n	PRON
cana-3826	71	10	distinct	distinct	ADJ
cana-3826	71	11	attributes	attribute	NOUN
cana-3826	71	12	,	,	PUNCT
cana-3826	71	13	whose	whose	DET
cana-3826	71	14	corresponding	corresponding	ADJ
cana-3826	71	15	attribute	attribute	NOUN
cana-3826	71	16	values	value	NOUN
cana-3826	71	17	are	be	AUX
cana-3826	71	18	respectively	respectively	ADV
cana-3826	71	19	the	the	DET
cana-3826	71	20	sets	set	NOUN
cana-3826	71	21	q1	q1	PROPN
cana-3826	71	22	,	,	PUNCT
cana-3826	71	23	q2	q2	NOUN
cana-3826	71	24	,	,	PUNCT
cana-3826	71	25	.	.	PUNCT
cana-3826	71	26	.	.	PUNCT
cana-3826	71	27	.	.	PUNCT
cana-3826	72	1	,	,	PUNCT
cana-3826	72	2	qn	qn	VERB
cana-3826	72	3	with	with	ADP
cana-3826	72	4	qi	qi	PROPN
cana-3826	72	5	∩	∩	ADJ
cana-3826	72	6	qj	qj	NOUN
cana-3826	72	7	=	=	NOUN
cana-3826	72	8	∅	∅	NOUN
cana-3826	72	9	,	,	PUNCT
cana-3826	72	10	for	for	ADP
cana-3826	72	11	i	i	PRON
cana-3826	72	12	≠	≠	PROPN
cana-3826	72	13	j	j	PROPN
cana-3826	72	14	and	and	CCONJ
cana-3826	72	15	i	i	PROPN
cana-3826	72	16	,	,	PUNCT
cana-3826	72	17	j	j	PROPN
cana-3826	72	18	∈	∈	PROPN
cana-3826	72	19	{	{	PUNCT
cana-3826	72	20	1,2	1,2	NUM
cana-3826	72	21	,	,	PUNCT
cana-3826	72	22	.	.	PUNCT
cana-3826	72	23	.	.	PUNCT
cana-3826	73	1	.	.	PUNCT
cana-3826	73	2	,	,	PUNCT
cana-3826	73	3	n	n	CCONJ
cana-3826	73	4	}	}	PUNCT
cana-3826	73	5	.	.	PUNCT
cana-3826	74	1	then	then	ADV
cana-3826	74	2	the	the	DET
cana-3826	74	3	communications	communication	NOUN
cana-3826	74	4	on	on	ADP
cana-3826	74	5	applied	apply	VERB
cana-3826	74	6	nonlinear	nonlinear	ADJ
cana-3826	74	7	analysis	analysis	NOUN
cana-3826	74	8	issn	issn	NOUN
cana-3826	74	9	:	:	PUNCT
cana-3826	74	10	1074	1074	NUM
cana-3826	74	11	-	-	PUNCT
cana-3826	74	12	133x	133x	NUM
cana-3826	74	13	vol	vol	NOUN
cana-3826	74	14	32	32	NUM
cana-3826	74	15	no	no	NOUN
cana-3826	74	16	.	.	PUNCT
cana-3826	75	1	8s	8s	PROPN
cana-3826	75	2	(	(	PUNCT
cana-3826	75	3	2025	2025	NUM
cana-3826	75	4	)	)	PUNCT
cana-3826	75	5	837	837	NUM
cana-3826	75	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	75	7	pair	pair	NOUN
cana-3826	75	8	(	(	PUNCT
cana-3826	75	9	φ̃	φ̃	PROPN
cana-3826	75	10	,	,	PUNCT
cana-3826	75	11	q1	q1	NOUN
cana-3826	75	12	×	×	PROPN
cana-3826	75	13	q2	q2	NOUN
cana-3826	75	14	×.	×.	NUM
cana-3826	75	15	.	.	PUNCT
cana-3826	76	1	.×	.×	PROPN
cana-3826	76	2	qn	qn	PROPN
cana-3826	76	3	)	)	PUNCT
cana-3826	77	1	where	where	SCONJ
cana-3826	77	2	φ̃	φ̃	PROPN
cana-3826	77	3	:	:	PUNCT
cana-3826	77	4	q1	q1	PROPN
cana-3826	77	5	×	×	PROPN
cana-3826	77	6	q2	q2	PROPN
cana-3826	77	7	×.	×.	NUM
cana-3826	77	8	.	.	PUNCT
cana-3826	78	1	.×	.×	PROPN
cana-3826	78	2	qn	qn	PROPN
cana-3826	78	3	→	→	SYM
cana-3826	78	4	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	78	5	)	)	PUNCT
cana-3826	78	6	is	be	AUX
cana-3826	78	7	called	call	VERB
cana-3826	78	8	a	a	DET
cana-3826	78	9	hypersoft	hypersoft	NOUN
cana-3826	78	10	set	set	VERB
cana-3826	78	11	over	over	ADP
cana-3826	78	12	𝔐.	𝔐.	PROPN
cana-3826	78	13	definition	definition	NOUN
cana-3826	78	14	2.4	2.4	NUM
cana-3826	78	15	[	[	X
cana-3826	78	16	2	2	NUM
cana-3826	78	17	]	]	PUNCT
cana-3826	78	18	let	let	VERB
cana-3826	78	19	𝔐	𝔐	PRON
cana-3826	78	20	be	be	AUX
cana-3826	78	21	an	an	DET
cana-3826	78	22	initial	initial	ADJ
cana-3826	78	23	universal	universal	ADJ
cana-3826	78	24	set	set	NOUN
cana-3826	78	25	and	and	CCONJ
cana-3826	78	26	q1	q1	PROPN
cana-3826	78	27	,	,	PUNCT
cana-3826	78	28	q2	q2	NOUN
cana-3826	78	29	,	,	PUNCT
cana-3826	78	30	.	.	PUNCT
cana-3826	78	31	.	.	PUNCT
cana-3826	79	1	.	.	PUNCT
cana-3826	80	1	,	,	PUNCT
cana-3826	80	2	qn	qn	PROPN
cana-3826	80	3	be	be	AUX
cana-3826	80	4	pairwise	pairwise	NOUN
cana-3826	80	5	disjoint	disjoint	NOUN
cana-3826	80	6	sets	set	NOUN
cana-3826	80	7	of	of	ADP
cana-3826	80	8	parameters	parameter	NOUN
cana-3826	80	9	.	.	PUNCT
cana-3826	81	1	let	let	VERB
cana-3826	81	2	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	81	3	)	)	PUNCT
cana-3826	82	1	be	be	VERB
cana-3826	82	2	the	the	DET
cana-3826	82	3	set	set	NOUN
cana-3826	82	4	of	of	ADP
cana-3826	82	5	all	all	DET
cana-3826	82	6	fuzzy	fuzzy	ADJ
cana-3826	82	7	sets	set	NOUN
cana-3826	82	8	of	of	ADP
cana-3826	82	9	𝔐.	𝔐.	PROPN
cana-3826	82	10	let	let	VERB
cana-3826	82	11	ei	ei	PART
cana-3826	82	12	be	be	AUX
cana-3826	82	13	the	the	DET
cana-3826	82	14	nonempty	nonempty	ADJ
cana-3826	82	15	subset	subset	NOUN
cana-3826	82	16	of	of	ADP
cana-3826	82	17	the	the	DET
cana-3826	82	18	pair	pair	NOUN
cana-3826	82	19	qi	qi	PROPN
cana-3826	82	20	for	for	ADP
cana-3826	82	21	each	each	DET
cana-3826	82	22	i	i	NOUN
cana-3826	82	23	=	=	NOUN
cana-3826	82	24	1,2	1,2	NUM
cana-3826	82	25	,	,	PUNCT
cana-3826	82	26	.	.	PUNCT
cana-3826	82	27	.	.	PUNCT
cana-3826	83	1	.	.	PUNCT
cana-3826	84	1	,	,	PUNCT
cana-3826	84	2	n.	n.	PROPN
cana-3826	84	3	a	a	DET
cana-3826	84	4	fuzzy	fuzzy	ADJ
cana-3826	84	5	hypersoft	hypersoft	NOUN
cana-3826	84	6	set	set	NOUN
cana-3826	84	7	(	(	PUNCT
cana-3826	84	8	briefly	briefly	ADV
cana-3826	84	9	,	,	PUNCT
cana-3826	84	10	fhyss	fhyss	NOUN
cana-3826	84	11	)	)	PUNCT
cana-3826	84	12	over	over	ADP
cana-3826	84	13	𝔐	𝔐	PROPN
cana-3826	84	14	is	be	AUX
cana-3826	84	15	defined	define	VERB
cana-3826	84	16	as	as	ADP
cana-3826	84	17	the	the	DET
cana-3826	84	18	pair	pair	NOUN
cana-3826	84	19	(	(	PUNCT
cana-3826	84	20	φ̃	φ̃	PROPN
cana-3826	84	21	,	,	PUNCT
cana-3826	84	22	e1	e1	VERB
cana-3826	84	23	×	×	PROPN
cana-3826	84	24	e2	e2	PROPN
cana-3826	84	25	×.	×.	PROPN
cana-3826	84	26	.	.	PUNCT
cana-3826	85	1	.×	.×	PROPN
cana-3826	85	2	en	en	ADP
cana-3826	85	3	)	)	PUNCT
cana-3826	85	4	where	where	SCONJ
cana-3826	85	5	φ̃	φ̃	PROPN
cana-3826	85	6	:	:	PUNCT
cana-3826	85	7	e1	e1	PROPN
cana-3826	85	8	×	×	PROPN
cana-3826	85	9	e2	e2	PROPN
cana-3826	85	10	×.	×.	PROPN
cana-3826	85	11	.	.	PUNCT
cana-3826	86	1	.×	.×	PROPN
cana-3826	86	2	en	en	X
cana-3826	86	3	→	→	SYM
cana-3826	86	4	𝒫(𝔐	𝒫(𝔐	NOUN
cana-3826	86	5	)	)	PUNCT
cana-3826	86	6	and	and	CCONJ
cana-3826	86	7	φ̃(e1	φ̃(e1	VERB
cana-3826	86	8	×	×	PROPN
cana-3826	86	9	e2	e2	NOUN
cana-3826	86	10	×.	×.	PROPN
cana-3826	86	11	.	.	PUNCT
cana-3826	87	1	.×	.×	PROPN
cana-3826	87	2	en	en	ADP
cana-3826	87	3	)	)	PUNCT
cana-3826	87	4	=	=	PRON
cana-3826	87	5	{	{	PUNCT
cana-3826	87	6	(	(	PUNCT
cana-3826	87	7	𝔮	𝔮	NOUN
cana-3826	87	8	,	,	PUNCT
cana-3826	87	9	〈	〈	NOUN
cana-3826	87	10	𝔪	𝔪	NOUN
cana-3826	87	11	,	,	PUNCT
cana-3826	87	12	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	87	13	)	)	PUNCT
cana-3826	87	14	〉	〉	NOUN
cana-3826	87	15	:	:	PUNCT
cana-3826	87	16	𝔪	𝔪	X
cana-3826	87	17	∈	∈	PROPN
cana-3826	87	18	𝔐	𝔐	PROPN
cana-3826	87	19	):	):	PUNCT
cana-3826	87	20	𝔮	𝔮	PROPN
cana-3826	87	21	∈	∈	PROPN
cana-3826	87	22	e1	e1	PROPN
cana-3826	87	23	×	×	PROPN
cana-3826	87	24	e2	e2	PROPN
cana-3826	87	25	×.	×.	NUM
cana-3826	87	26	.	.	PUNCT
cana-3826	88	1	.×	.×	PROPN
cana-3826	88	2	en	en	ADP
cana-3826	88	3	⊆	⊆	NUM
cana-3826	88	4	q1	q1	NOUN
cana-3826	88	5	×	×	PROPN
cana-3826	88	6	q2	q2	NOUN
cana-3826	88	7	×.	×.	NUM
cana-3826	88	8	.	.	PUNCT
cana-3826	89	1	.×	.×	PROPN
cana-3826	89	2	qn	qn	PROPN
cana-3826	89	3	}	}	PUNCT
cana-3826	89	4	where	where	SCONJ
cana-3826	89	5	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	89	6	)	)	PUNCT
cana-3826	89	7	is	be	AUX
cana-3826	89	8	the	the	DET
cana-3826	89	9	membership	membership	NOUN
cana-3826	89	10	value	value	NOUN
cana-3826	89	11	such	such	ADJ
cana-3826	89	12	that	that	SCONJ
cana-3826	89	13	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	89	14	)	)	PUNCT
cana-3826	89	15	∈	∈	NOUN
cana-3826	90	1	[	[	X
cana-3826	90	2	0,1	0,1	NUM
cana-3826	90	3	]	]	PUNCT
cana-3826	90	4	.	.	PUNCT
cana-3826	91	1	definition	definition	NOUN
cana-3826	91	2	2.5	2.5	NUM
cana-3826	91	3	[	[	X
cana-3826	91	4	2	2	NUM
cana-3826	91	5	]	]	X
cana-3826	91	6	let	let	VERB
cana-3826	91	7	(	(	PUNCT
cana-3826	91	8	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	91	9	)	)	PUNCT
cana-3826	91	10	and	and	CCONJ
cana-3826	91	11	(	(	PUNCT
cana-3826	91	12	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	91	13	)	)	PUNCT
cana-3826	91	14	be	be	AUX
cana-3826	91	15	two	two	NUM
cana-3826	91	16	fhyss	fhyss	NOUN
cana-3826	91	17	’s	’s	NOUN
cana-3826	91	18	over	over	ADP
cana-3826	91	19	𝔐.	𝔐.	PROPN
cana-3826	91	20	then	then	ADV
cana-3826	91	21	(	(	PUNCT
cana-3826	91	22	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	91	23	)	)	PUNCT
cana-3826	91	24	is	be	AUX
cana-3826	91	25	the	the	DET
cana-3826	91	26	fuzzy	fuzzy	ADJ
cana-3826	91	27	hypersoft	hypersoft	NOUN
cana-3826	91	28	subset	subset	NOUN
cana-3826	91	29	of	of	ADP
cana-3826	91	30	(	(	PUNCT
cana-3826	91	31	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	91	32	)	)	PUNCT
cana-3826	91	33	if	if	SCONJ
cana-3826	91	34	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	91	35	)	)	PUNCT
cana-3826	91	36	≤	≤	NUM
cana-3826	91	37	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	NOUN
cana-3826	91	38	)	)	PUNCT
cana-3826	91	39	.	.	PUNCT
cana-3826	92	1	it	it	PRON
cana-3826	92	2	is	be	AUX
cana-3826	92	3	denoted	denote	VERB
cana-3826	92	4	by	by	ADP
cana-3826	92	5	(	(	PUNCT
cana-3826	92	6	φ̃,∧1	φ̃,∧1	PROPN
cana-3826	92	7	)	)	PUNCT
cana-3826	92	8	⊆	⊆	NUM
cana-3826	92	9	(	(	PUNCT
cana-3826	92	10	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	92	11	)	)	PUNCT
cana-3826	92	12	.	.	PUNCT
cana-3826	93	1	definition	definition	NOUN
cana-3826	93	2	2.6	2.6	NUM
cana-3826	94	1	[	[	X
cana-3826	94	2	2	2	NUM
cana-3826	94	3	]	]	X
cana-3826	94	4	let	let	VERB
cana-3826	94	5	(	(	PUNCT
cana-3826	94	6	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	94	7	)	)	PUNCT
cana-3826	94	8	and	and	CCONJ
cana-3826	94	9	(	(	PUNCT
cana-3826	94	10	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	94	11	)	)	PUNCT
cana-3826	94	12	be	be	AUX
cana-3826	94	13	fhyss	fhyss	NOUN
cana-3826	94	14	’s	’s	NOUN
cana-3826	94	15	over	over	ADP
cana-3826	94	16	𝔐.	𝔐.	PROPN
cana-3826	94	17	(	(	PUNCT
cana-3826	94	18	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	94	19	)	)	PUNCT
cana-3826	94	20	is	be	AUX
cana-3826	94	21	equal	equal	ADJ
cana-3826	94	22	to	to	ADP
cana-3826	94	23	(	(	PUNCT
cana-3826	94	24	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	94	25	)	)	PUNCT
cana-3826	94	26	if	if	SCONJ
cana-3826	94	27	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	94	28	)	)	PUNCT
cana-3826	94	29	=	=	SYM
cana-3826	94	30	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	PRON
cana-3826	94	31	)	)	PUNCT
cana-3826	94	32	.	.	PUNCT
cana-3826	95	1	definition	definition	NOUN
cana-3826	95	2	2.7	2.7	NUM
cana-3826	95	3	[	[	X
cana-3826	95	4	2	2	NUM
cana-3826	95	5	]	]	PUNCT
cana-3826	95	6	a	a	DET
cana-3826	95	7	fhyss	fhyss	NOUN
cana-3826	95	8	(	(	PUNCT
cana-3826	95	9	φ̃,∧	φ̃,∧	NOUN
cana-3826	95	10	)	)	PUNCT
cana-3826	95	11	over	over	ADP
cana-3826	95	12	𝔐	𝔐	PROPN
cana-3826	95	13	is	be	AUX
cana-3826	95	14	called	call	VERB
cana-3826	95	15	null	null	ADJ
cana-3826	95	16	fuzzy	fuzzy	ADJ
cana-3826	95	17	hypersoft	hypersoft	PROPN
cana-3826	95	18	set	set	VERB
cana-3826	95	19	if	if	SCONJ
cana-3826	95	20	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	95	21	)	)	PUNCT
cana-3826	95	22	=	=	SYM
cana-3826	95	23	0	0	NUM
cana-3826	95	24	,	,	PUNCT
cana-3826	95	25	∀𝔮	∀𝔮	PROPN
cana-3826	95	26	∈∧	∈∧	NOUN
cana-3826	95	27	and	and	CCONJ
cana-3826	95	28	𝔪	𝔪	PRON
cana-3826	95	29	∈	∈	PROPN
cana-3826	95	30	𝔐.	𝔐.	NOUN
cana-3826	95	31	it	it	PRON
cana-3826	95	32	is	be	AUX
cana-3826	95	33	denoted	denote	VERB
cana-3826	95	34	by	by	ADP
cana-3826	95	35	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	95	36	)	)	PUNCT
cana-3826	95	37	.	.	PUNCT
cana-3826	96	1	a	a	DET
cana-3826	96	2	fhyss	fhyss	NOUN
cana-3826	96	3	(	(	PUNCT
cana-3826	96	4	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	96	5	)	)	PUNCT
cana-3826	96	6	over	over	ADP
cana-3826	96	7	𝔐	𝔐	PROPN
cana-3826	96	8	is	be	AUX
cana-3826	96	9	called	call	VERB
cana-3826	96	10	absolute	absolute	ADJ
cana-3826	96	11	fuzzy	fuzzy	ADJ
cana-3826	96	12	hypersoft	hypersoft	NOUN
cana-3826	96	13	set	set	VERB
cana-3826	96	14	if	if	SCONJ
cana-3826	96	15	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	NOUN
cana-3826	96	16	)	)	PUNCT
cana-3826	96	17	=	=	SYM
cana-3826	96	18	1	1	NUM
cana-3826	96	19	∀𝔮	∀𝔮	NOUN
cana-3826	96	20	∈∧	∈∧	NOUN
cana-3826	96	21	and	and	CCONJ
cana-3826	96	22	𝔪	𝔪	PRON
cana-3826	96	23	∈	∈	PROPN
cana-3826	96	24	𝔐.	𝔐.	NOUN
cana-3826	96	25	it	it	PRON
cana-3826	96	26	is	be	AUX
cana-3826	96	27	denoted	denote	VERB
cana-3826	96	28	by	by	ADP
cana-3826	96	29	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	96	30	)	)	PUNCT
cana-3826	96	31	.	.	PUNCT
cana-3826	97	1	clearly	clearly	ADV
cana-3826	97	2	,	,	PUNCT
cana-3826	97	3	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	97	4	)	)	PUNCT
cana-3826	97	5	c	c	NOUN
cana-3826	97	6	=	=	SYM
cana-3826	97	7	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	97	8	)	)	PUNCT
cana-3826	97	9	and	and	CCONJ
cana-3826	97	10	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	97	11	)	)	PUNCT
cana-3826	97	12	c	c	NOUN
cana-3826	97	13	=	=	SYM
cana-3826	97	14	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	97	15	)	)	PUNCT
cana-3826	97	16	.	.	PUNCT
cana-3826	98	1	definition	definition	NOUN
cana-3826	98	2	2.8	2.8	NUM
cana-3826	98	3	[	[	X
cana-3826	98	4	2	2	NUM
cana-3826	98	5	]	]	PUNCT
cana-3826	98	6	let	let	VERB
cana-3826	98	7	(	(	PUNCT
cana-3826	98	8	φ̃,∧	φ̃,∧	X
cana-3826	98	9	)	)	PUNCT
cana-3826	98	10	be	be	AUX
cana-3826	98	11	fhyss	fhyss	NOUN
cana-3826	98	12	over	over	ADP
cana-3826	98	13	𝔐.	𝔐.	PROPN
cana-3826	98	14	(	(	PUNCT
cana-3826	98	15	φ̃,∧)c	φ̃,∧)c	PRON
cana-3826	98	16	is	be	AUX
cana-3826	98	17	the	the	DET
cana-3826	98	18	complement	complement	NOUN
cana-3826	98	19	of	of	ADP
cana-3826	98	20	(	(	PUNCT
cana-3826	98	21	φ̃,∧	φ̃,∧	NOUN
cana-3826	98	22	)	)	PUNCT
cana-3826	98	23	if	if	SCONJ
cana-3826	98	24	μh̃(𝔮	μh̃(𝔮	NOUN
cana-3826	98	25	)	)	PUNCT
cana-3826	98	26	c	c	NOUN
cana-3826	98	27	(	(	PUNCT
cana-3826	98	28	𝔪	𝔪	NOUN
cana-3826	98	29	)	)	PUNCT
cana-3826	98	30	=	=	SYM
cana-3826	98	31	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	98	32	)	)	PUNCT
cana-3826	98	33	−	−	NOUN
cana-3826	98	34	μh̃(𝔮)(𝔪	μh̃(𝔮)(𝔪	NUM
cana-3826	98	35	)	)	PUNCT
cana-3826	98	36	where	where	SCONJ
cana-3826	98	37	∀𝔮	∀𝔮	NOUN
cana-3826	98	38	∈∧	∈∧	PROPN
cana-3826	98	39	and	and	CCONJ
cana-3826	98	40	∀𝔪	∀𝔪	PROPN
cana-3826	98	41	∈	∈	PROPN
cana-3826	98	42	𝔐.	𝔐.	NOUN
cana-3826	98	43	it	it	PRON
cana-3826	98	44	is	be	AUX
cana-3826	98	45	clear	clear	ADJ
cana-3826	98	46	that	that	SCONJ
cana-3826	98	47	(	(	PUNCT
cana-3826	98	48	(	(	PUNCT
cana-3826	98	49	φ̃,∧)c)c	φ̃,∧)c)c	SYM
cana-3826	98	50	=	=	SYM
cana-3826	98	51	(	(	PUNCT
cana-3826	98	52	φ̃,∧	φ̃,∧	NOUN
cana-3826	98	53	)	)	PUNCT
cana-3826	98	54	.	.	PUNCT
cana-3826	99	1	definition	definition	NOUN
cana-3826	99	2	2.9	2.9	NUM
cana-3826	100	1	[	[	X
cana-3826	100	2	2	2	NUM
cana-3826	100	3	]	]	X
cana-3826	100	4	let	let	VERB
cana-3826	100	5	(	(	PUNCT
cana-3826	100	6	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	100	7	)	)	PUNCT
cana-3826	100	8	and	and	CCONJ
cana-3826	100	9	(	(	PUNCT
cana-3826	100	10	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	100	11	)	)	PUNCT
cana-3826	100	12	be	be	AUX
cana-3826	100	13	fhyss	fhyss	NOUN
cana-3826	100	14	’s	’s	NOUN
cana-3826	100	15	over	over	ADP
cana-3826	100	16	𝔐.	𝔐.	PROPN
cana-3826	100	17	extended	extended	ADJ
cana-3826	100	18	union	union	NOUN
cana-3826	100	19	(	(	PUNCT
cana-3826	100	20	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	100	21	)	)	PUNCT
cana-3826	100	22	∪	∪	NOUN
cana-3826	100	23	(	(	PUNCT
cana-3826	100	24	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	100	25	)	)	PUNCT
cana-3826	100	26	is	be	AUX
cana-3826	100	27	defined	define	VERB
cana-3826	100	28	as	as	ADP
cana-3826	100	29	μ	μ	PROPN
cana-3826	100	30	(	(	PUNCT
cana-3826	100	31	(	(	PUNCT
cana-3826	100	32	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	100	33	)	)	PUNCT
cana-3826	100	34	∪	∪	NOUN
cana-3826	100	35	(	(	PUNCT
cana-3826	100	36	ψ̃,∧2	ψ̃,∧2	NUM
cana-3826	100	37	)	)	PUNCT
cana-3826	100	38	)	)	PUNCT
cana-3826	101	1	=	=	PRON
cana-3826	101	2	{	{	PUNCT
cana-3826	101	3	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	INTJ
cana-3826	101	4	)	)	PUNCT
cana-3826	101	5	if	if	SCONJ
cana-3826	101	6	𝔮	𝔮	PROPN
cana-3826	101	7	∈∧1−∧2	∈∧1−∧2	NOUN
cana-3826	101	8	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	NOUN
cana-3826	101	9	)	)	PUNCT
cana-3826	101	10	if	if	SCONJ
cana-3826	101	11	𝔮	𝔮	PROPN
cana-3826	101	12	∈∧2−∧1	∈∧2−∧1	NUM
cana-3826	101	13	max{μφ̃(𝔮)(𝔪	max{μφ̃(𝔮)(𝔪	NOUN
cana-3826	101	14	)	)	PUNCT
cana-3826	101	15	,	,	PUNCT
cana-3826	101	16	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	ADJ
cana-3826	101	17	)	)	PUNCT
cana-3826	101	18	}	}	PUNCT
cana-3826	101	19	if	if	SCONJ
cana-3826	101	20	𝔮	𝔮	PROPN
cana-3826	101	21	∈∧1∩∧2	∈∧1∩∧2	VERB
cana-3826	101	22	definition	definition	NOUN
cana-3826	101	23	2.10	2.10	NUM
cana-3826	101	24	[	[	X
cana-3826	101	25	2	2	NUM
cana-3826	101	26	,	,	PUNCT
cana-3826	101	27	3	3	NUM
cana-3826	101	28	]	]	X
cana-3826	101	29	let	let	VERB
cana-3826	101	30	(	(	PUNCT
cana-3826	101	31	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	101	32	)	)	PUNCT
cana-3826	101	33	and	and	CCONJ
cana-3826	101	34	(	(	PUNCT
cana-3826	101	35	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	101	36	)	)	PUNCT
cana-3826	101	37	be	be	AUX
cana-3826	101	38	fhss	fhs	VERB
cana-3826	101	39	’s	’s	NOUN
cana-3826	101	40	over	over	ADP
cana-3826	101	41	𝔐.	𝔐.	PROPN
cana-3826	101	42	extended	extend	VERB
cana-3826	101	43	intersection	intersection	NOUN
cana-3826	101	44	(	(	PUNCT
cana-3826	101	45	φ̃,∧1	φ̃,∧1	NOUN
cana-3826	101	46	)	)	PUNCT
cana-3826	101	47	∩	∩	NOUN
cana-3826	101	48	(	(	PUNCT
cana-3826	101	49	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	101	50	)	)	PUNCT
cana-3826	101	51	is	be	AUX
cana-3826	101	52	defined	define	VERB
cana-3826	101	53	as	as	ADP
cana-3826	101	54	μ((φ̃,∧1	μ((φ̃,∧1	NOUN
cana-3826	101	55	)	)	PUNCT
cana-3826	101	56	∩	∩	NOUN
cana-3826	101	57	(	(	PUNCT
cana-3826	101	58	ψ̃,∧2	ψ̃,∧2	PROPN
cana-3826	101	59	)	)	PUNCT
cana-3826	101	60	)	)	PUNCT
cana-3826	101	61	=	=	PRON
cana-3826	102	1	{	{	PUNCT
cana-3826	102	2	μφ̃(𝔮)(𝔪	μφ̃(𝔮)(𝔪	INTJ
cana-3826	102	3	)	)	PUNCT
cana-3826	102	4	if	if	SCONJ
cana-3826	102	5	𝔮	𝔮	PROPN
cana-3826	102	6	∈∧1−∧2	∈∧1−∧2	NOUN
cana-3826	102	7	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	NOUN
cana-3826	102	8	)	)	PUNCT
cana-3826	102	9	if	if	SCONJ
cana-3826	102	10	𝔮	𝔮	PROPN
cana-3826	102	11	∈∧2−∧1	∈∧2−∧1	VERB
cana-3826	102	12	min{μφ̃(𝔮)(𝔪	min{μφ̃(𝔮)(𝔪	NOUN
cana-3826	102	13	)	)	PUNCT
cana-3826	102	14	,	,	PUNCT
cana-3826	102	15	μψ̃(𝔮)(𝔪	μψ̃(𝔮)(𝔪	ADJ
cana-3826	102	16	)	)	PUNCT
cana-3826	102	17	}	}	PUNCT
cana-3826	102	18	if	if	SCONJ
cana-3826	102	19	𝔮	𝔮	PROPN
cana-3826	102	20	∈∧1∩∧2	∈∧1∩∧2	VERB
cana-3826	102	21	definition	definition	NOUN
cana-3826	102	22	2.11	2.11	NUM
cana-3826	102	23	[	[	X
cana-3826	102	24	3	3	NUM
cana-3826	102	25	]	]	X
cana-3826	102	26	let	let	VERB
cana-3826	102	27	(	(	PUNCT
cana-3826	102	28	𝔐	𝔐	NOUN
cana-3826	102	29	,	,	PUNCT
cana-3826	102	30	q	q	X
cana-3826	102	31	)	)	PUNCT
cana-3826	102	32	be	be	AUX
cana-3826	102	33	the	the	DET
cana-3826	102	34	family	family	NOUN
cana-3826	102	35	of	of	ADP
cana-3826	102	36	all	all	DET
cana-3826	102	37	fhyss	fhyss	NOUN
cana-3826	102	38	’s	’s	X
cana-3826	102	39	over	over	ADP
cana-3826	102	40	𝔐	𝔐	PROPN
cana-3826	102	41	and	and	CCONJ
cana-3826	102	42	τ̃	τ̃	PROPN
cana-3826	102	43	⊆	⊆	NUM
cana-3826	102	44	fhyss(𝔐	fhyss(𝔐	NOUN
cana-3826	102	45	,	,	PUNCT
cana-3826	102	46	q	q	NOUN
cana-3826	102	47	)	)	PUNCT
cana-3826	102	48	.	.	PUNCT
cana-3826	103	1	then	then	ADV
cana-3826	103	2	τ̃	τ̃	PROPN
cana-3826	103	3	is	be	AUX
cana-3826	103	4	said	say	VERB
cana-3826	103	5	to	to	PART
cana-3826	103	6	be	be	AUX
cana-3826	103	7	a	a	DET
cana-3826	103	8	fuzzy	fuzzy	ADJ
cana-3826	103	9	hypersoft	hypersoft	NOUN
cana-3826	103	10	topology	topology	NOUN
cana-3826	103	11	(	(	PUNCT
cana-3826	103	12	briefly	briefly	ADV
cana-3826	103	13	,	,	PUNCT
cana-3826	103	14	fhyst	fhyst	ADJ
cana-3826	103	15	)	)	PUNCT
cana-3826	103	16	on	on	ADP
cana-3826	103	17	𝔐	𝔐	PRON
cana-3826	103	18	if	if	SCONJ
cana-3826	103	19	communications	communication	NOUN
cana-3826	103	20	on	on	ADP
cana-3826	103	21	applied	apply	VERB
cana-3826	103	22	nonlinear	nonlinear	ADJ
cana-3826	103	23	analysis	analysis	NOUN
cana-3826	103	24	issn	issn	NOUN
cana-3826	103	25	:	:	PUNCT
cana-3826	103	26	1074	1074	NUM
cana-3826	103	27	-	-	PUNCT
cana-3826	103	28	133x	133x	NUM
cana-3826	103	29	vol	vol	NOUN
cana-3826	103	30	32	32	NUM
cana-3826	103	31	no	no	NOUN
cana-3826	103	32	.	.	PUNCT
cana-3826	104	1	8s	8s	PROPN
cana-3826	104	2	(	(	PUNCT
cana-3826	104	3	2025	2025	NUM
cana-3826	104	4	)	)	PUNCT
cana-3826	104	5	838	838	NUM
cana-3826	104	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	104	7	(	(	PUNCT
cana-3826	104	8	i	i	NOUN
cana-3826	104	9	)	)	PUNCT
cana-3826	104	10	.	.	PUNCT
cana-3826	105	1	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	105	2	)	)	PUNCT
cana-3826	105	3	and	and	CCONJ
cana-3826	105	4	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	105	5	)	)	PUNCT
cana-3826	105	6	belongs	belong	VERB
cana-3826	105	7	to	to	ADP
cana-3826	105	8	τ̃	τ̃	PROPN
cana-3826	105	9	(	(	PUNCT
cana-3826	105	10	ii	ii	NOUN
cana-3826	105	11	)	)	PUNCT
cana-3826	105	12	.	.	PUNCT
cana-3826	106	1	the	the	DET
cana-3826	106	2	union	union	NOUN
cana-3826	106	3	of	of	ADP
cana-3826	106	4	any	any	DET
cana-3826	106	5	number	number	NOUN
cana-3826	106	6	of	of	ADP
cana-3826	106	7	fhyss	fhyss	NOUN
cana-3826	106	8	’s	’	VERB
cana-3826	106	9	in	in	ADP
cana-3826	106	10	τ̃	τ̃	PROPN
cana-3826	106	11	belongs	belong	VERB
cana-3826	106	12	to	to	ADP
cana-3826	106	13	τ̃	τ̃	PROPN
cana-3826	106	14	(	(	PUNCT
cana-3826	106	15	iii	iii	NOUN
cana-3826	106	16	)	)	PUNCT
cana-3826	106	17	.	.	PUNCT
cana-3826	107	1	the	the	DET
cana-3826	107	2	intersection	intersection	NOUN
cana-3826	107	3	of	of	ADP
cana-3826	107	4	finite	finite	ADJ
cana-3826	107	5	number	number	NOUN
cana-3826	107	6	of	of	ADP
cana-3826	107	7	fhyss	fhyss	NOUN
cana-3826	107	8	’s	’	VERB
cana-3826	107	9	in	in	ADP
cana-3826	107	10	τ̃	τ̃	PROPN
cana-3826	107	11	belongs	belong	VERB
cana-3826	107	12	to	to	ADP
cana-3826	107	13	τ̃.	τ̃.	NOUN
cana-3826	107	14	then	then	ADV
cana-3826	107	15	(	(	PUNCT
cana-3826	107	16	𝔐	𝔐	INTJ
cana-3826	107	17	,	,	PUNCT
cana-3826	107	18	q	q	NOUN
cana-3826	107	19	,	,	PUNCT
cana-3826	107	20	τ̃	τ̃	PROPN
cana-3826	107	21	)	)	PUNCT
cana-3826	107	22	is	be	AUX
cana-3826	107	23	known	know	VERB
cana-3826	107	24	as	as	ADP
cana-3826	107	25	a	a	DET
cana-3826	107	26	fuzzy	fuzzy	ADJ
cana-3826	107	27	hypersoft	hypersoft	ADJ
cana-3826	107	28	toplogical	toplogical	ADJ
cana-3826	107	29	space	space	NOUN
cana-3826	107	30	(	(	PUNCT
cana-3826	107	31	briefly	briefly	ADV
cana-3826	107	32	,	,	PUNCT
cana-3826	107	33	fhysts	fhyst	NOUN
cana-3826	107	34	)	)	PUNCT
cana-3826	107	35	over	over	ADP
cana-3826	107	36	𝔐.	𝔐.	PROPN
cana-3826	107	37	each	each	DET
cana-3826	107	38	member	member	NOUN
cana-3826	107	39	of	of	ADP
cana-3826	107	40	τ̃	τ̃	PROPN
cana-3826	107	41	is	be	AUX
cana-3826	107	42	said	say	VERB
cana-3826	107	43	to	to	PART
cana-3826	107	44	be	be	AUX
cana-3826	107	45	fuzzy	fuzzy	ADJ
cana-3826	107	46	hypersoft	hypersoft	ADV
cana-3826	107	47	open	open	ADJ
cana-3826	107	48	set	set	NOUN
cana-3826	107	49	(	(	PUNCT
cana-3826	107	50	briefly	briefly	ADV
cana-3826	107	51	,	,	PUNCT
cana-3826	107	52	fhysos	fhysos	PROPN
cana-3826	107	53	)	)	PUNCT
cana-3826	107	54	.	.	PUNCT
cana-3826	108	1	a	a	DET
cana-3826	108	2	fhyss	fhyss	NOUN
cana-3826	108	3	(	(	PUNCT
cana-3826	108	4	φ̃,∧	φ̃,∧	PROPN
cana-3826	108	5	)	)	PUNCT
cana-3826	108	6	is	be	AUX
cana-3826	108	7	called	call	VERB
cana-3826	108	8	a	a	DET
cana-3826	108	9	fuzzy	fuzzy	ADJ
cana-3826	108	10	hypersoft	hypersoft	NOUN
cana-3826	108	11	closed	close	VERB
cana-3826	108	12	set	set	NOUN
cana-3826	108	13	(	(	PUNCT
cana-3826	108	14	briefly	briefly	ADV
cana-3826	108	15	,	,	PUNCT
cana-3826	108	16	fhyscs	fhysc	NOUN
cana-3826	108	17	)	)	PUNCT
cana-3826	108	18	if	if	SCONJ
cana-3826	108	19	its	its	PRON
cana-3826	108	20	complement	complement	NOUN
cana-3826	108	21	(	(	PUNCT
cana-3826	108	22	φ̃,∧)c	φ̃,∧)c	PRON
cana-3826	108	23	is	be	AUX
cana-3826	108	24	fhysos	fhysos	NOUN
cana-3826	108	25	.	.	PUNCT
cana-3826	109	1	definition	definition	NOUN
cana-3826	109	2	2.12	2.12	NUM
cana-3826	109	3	[	[	X
cana-3826	109	4	3	3	NUM
cana-3826	109	5	]	]	X
cana-3826	109	6	let	let	VERB
cana-3826	109	7	(	(	PUNCT
cana-3826	109	8	𝔐	𝔐	NOUN
cana-3826	109	9	,	,	PUNCT
cana-3826	109	10	q	q	NOUN
cana-3826	109	11	,	,	PUNCT
cana-3826	109	12	τ̃	τ̃	PROPN
cana-3826	109	13	)	)	PUNCT
cana-3826	109	14	be	be	VERB
cana-3826	109	15	a	a	DET
cana-3826	109	16	fhysts	fhyst	NOUN
cana-3826	109	17	over	over	ADP
cana-3826	109	18	𝔐	𝔐	PROPN
cana-3826	109	19	and	and	CCONJ
cana-3826	109	20	(	(	PUNCT
cana-3826	109	21	φ̃,∧	φ̃,∧	X
cana-3826	109	22	)	)	PUNCT
cana-3826	109	23	be	be	AUX
cana-3826	109	24	a	a	DET
cana-3826	109	25	fhyss	fhyss	NOUN
cana-3826	109	26	in	in	ADP
cana-3826	109	27	𝔐.	𝔐.	PROPN
cana-3826	109	28	then	then	ADV
cana-3826	109	29	,	,	PUNCT
cana-3826	109	30	(	(	PUNCT
cana-3826	109	31	i	i	NOUN
cana-3826	109	32	)	)	PUNCT
cana-3826	109	33	.	.	PUNCT
cana-3826	110	1	the	the	DET
cana-3826	110	2	fuzzy	fuzzy	ADJ
cana-3826	110	3	hypersoft	hypersoft	ADJ
cana-3826	110	4	interior	interior	NOUN
cana-3826	110	5	(	(	PUNCT
cana-3826	110	6	briefly	briefly	ADV
cana-3826	110	7	,	,	PUNCT
cana-3826	110	8	fhsint	fhsint	NOUN
cana-3826	110	9	)	)	PUNCT
cana-3826	110	10	of	of	ADP
cana-3826	110	11	(	(	PUNCT
cana-3826	110	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	110	13	)	)	PUNCT
cana-3826	110	14	is	be	AUX
cana-3826	110	15	defined	define	VERB
cana-3826	110	16	as	as	ADP
cana-3826	110	17	fhsint(φ̃,∧	fhsint(φ̃,∧	NUM
cana-3826	110	18	)	)	PUNCT
cana-3826	111	1	=	=	SYM
cana-3826	111	2	∪	∪	X
cana-3826	111	3	{	{	PUNCT
cana-3826	111	4	(	(	PUNCT
cana-3826	111	5	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	111	6	):	):	PUNCT
cana-3826	111	7	(	(	PUNCT
cana-3826	111	8	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	111	9	)	)	PUNCT
cana-3826	111	10	⊆	⊆	NUM
cana-3826	111	11	(	(	PUNCT
cana-3826	111	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	111	13	)	)	PUNCT
cana-3826	111	14	where	where	SCONJ
cana-3826	111	15	(	(	PUNCT
cana-3826	111	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	111	17	)	)	PUNCT
cana-3826	111	18	is	be	AUX
cana-3826	111	19	fhsos	fhsos	NOUN
cana-3826	111	20	}	}	PUNCT
cana-3826	111	21	.	.	PUNCT
cana-3826	112	1	(	(	PUNCT
cana-3826	112	2	ii	ii	NOUN
cana-3826	112	3	)	)	PUNCT
cana-3826	112	4	.	.	PUNCT
cana-3826	113	1	the	the	DET
cana-3826	113	2	fuzzy	fuzzy	ADJ
cana-3826	113	3	hypersoft	hypersoft	NOUN
cana-3826	113	4	closure	closure	NOUN
cana-3826	113	5	(	(	PUNCT
cana-3826	113	6	briefly	briefly	ADV
cana-3826	113	7	,	,	PUNCT
cana-3826	113	8	fhscl	fhscl	PROPN
cana-3826	113	9	)	)	PUNCT
cana-3826	113	10	of	of	ADP
cana-3826	113	11	(	(	PUNCT
cana-3826	113	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	113	13	)	)	PUNCT
cana-3826	113	14	is	be	AUX
cana-3826	113	15	defined	define	VERB
cana-3826	113	16	as	as	ADP
cana-3826	113	17	fhscl(φ̃,∧	fhscl(φ̃,∧	NUM
cana-3826	113	18	)	)	PUNCT
cana-3826	114	1	=	=	NOUN
cana-3826	114	2	∩	∩	X
cana-3826	114	3	{	{	PUNCT
cana-3826	114	4	(	(	PUNCT
cana-3826	114	5	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	114	6	):	):	PUNCT
cana-3826	114	7	(	(	PUNCT
cana-3826	114	8	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	114	9	)	)	PUNCT
cana-3826	114	10	⊇	⊇	NOUN
cana-3826	114	11	(	(	PUNCT
cana-3826	114	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	114	13	)	)	PUNCT
cana-3826	114	14	where	where	SCONJ
cana-3826	114	15	(	(	PUNCT
cana-3826	114	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	114	17	)	)	PUNCT
cana-3826	114	18	is	be	AUX
cana-3826	114	19	fhscs	fhsc	NOUN
cana-3826	114	20	}	}	PUNCT
cana-3826	114	21	.	.	PUNCT
cana-3826	115	1	definition	definition	NOUN
cana-3826	115	2	2.13	2.13	NUM
cana-3826	116	1	[	[	X
cana-3826	116	2	2	2	NUM
cana-3826	116	3	]	]	PUNCT
cana-3826	116	4	let	let	VERB
cana-3826	116	5	fhs	fhs	PROPN
cana-3826	116	6	’s	’s	PART
cana-3826	116	7	(	(	PUNCT
cana-3826	116	8	φ̃,∧	φ̃,∧	NOUN
cana-3826	116	9	)	)	PUNCT
cana-3826	116	10	be	be	AUX
cana-3826	116	11	the	the	DET
cana-3826	116	12	family	family	NOUN
cana-3826	116	13	of	of	ADP
cana-3826	116	14	all	all	DET
cana-3826	116	15	fhs	fhs	PROPN
cana-3826	116	16	’s	’s	NOUN
cana-3826	116	17	over	over	ADP
cana-3826	116	18	𝔐	𝔐	PROPN
cana-3826	116	19	and	and	CCONJ
cana-3826	116	20	let	let	VERB
cana-3826	116	21	𝔪	𝔪	PRON
cana-3826	116	22	∈	∈	PROPN
cana-3826	116	23	𝔐	𝔐	PROPN
cana-3826	116	24	,	,	PUNCT
cana-3826	116	25	0	0	NUM
cana-3826	116	26	≤	≤	NUM
cana-3826	116	27	φ	φ	NUM
cana-3826	116	28	≤	≤	NUM
cana-3826	116	29	1	1	NUM
cana-3826	116	30	,	,	PUNCT
cana-3826	116	31	𝔮	𝔮	X
cana-3826	116	32	∈	∈	PROPN
cana-3826	116	33	q.	q.	NOUN
cana-3826	116	34	then	then	ADV
cana-3826	116	35	the	the	DET
cana-3826	116	36	fhss	fhss	PROPN
cana-3826	116	37	𝔪φ	𝔪φ	NOUN
cana-3826	116	38	q	q	NOUN
cana-3826	116	39	is	be	AUX
cana-3826	116	40	called	call	VERB
cana-3826	116	41	a	a	DET
cana-3826	116	42	fuzzy	fuzzy	ADJ
cana-3826	116	43	hypersoft	hypersoft	NOUN
cana-3826	116	44	point	point	NOUN
cana-3826	116	45	(	(	PUNCT
cana-3826	116	46	briefly	briefly	ADV
cana-3826	116	47	,	,	PUNCT
cana-3826	116	48	fhsp	fhsp	ADJ
cana-3826	116	49	)	)	PUNCT
cana-3826	116	50	and	and	CCONJ
cana-3826	116	51	is	be	AUX
cana-3826	116	52	defined	define	VERB
cana-3826	116	53	as	as	SCONJ
cana-3826	116	54	follows	follow	VERB
cana-3826	116	55	:	:	PUNCT
cana-3826	116	56	for	for	ADP
cana-3826	116	57	each	each	DET
cana-3826	116	58	𝔫	𝔫	PROPN
cana-3826	116	59	∈	∈	PROPN
cana-3826	116	60	𝔐	𝔐	PROPN
cana-3826	116	61	,	,	PUNCT
cana-3826	116	62	𝔪φ	𝔪φ	PROPN
cana-3826	116	63	𝔮	𝔮	PROPN
cana-3826	116	64	(	(	PUNCT
cana-3826	116	65	𝔮′)(𝔫	𝔮′)(𝔫	NOUN
cana-3826	116	66	)	)	PUNCT
cana-3826	116	67	=	=	PRON
cana-3826	116	68	{	{	PUNCT
cana-3826	116	69	φif𝔮′	φif𝔮′	NOUN
cana-3826	116	70	=	=	SYM
cana-3826	116	71	𝔮and𝔫	𝔮and𝔫	NOUN
cana-3826	116	72	=	=	SYM
cana-3826	116	73	𝔪	𝔪	X
cana-3826	116	74	0if𝔮′	0if𝔮′	X
cana-3826	116	75	≠	≠	NOUN
cana-3826	116	76	𝔮or𝔫	𝔮or𝔫	VERB
cana-3826	116	77	≠	≠	ADJ
cana-3826	116	78	𝔪.	𝔪.	ADJ
cana-3826	116	79	definition	definition	NOUN
cana-3826	116	80	2.14	2.14	NUM
cana-3826	116	81	[	[	X
cana-3826	116	82	13	13	NUM
cana-3826	116	83	]	]	PUNCT
cana-3826	116	84	let	let	VERB
cana-3826	116	85	𝔪φ	𝔪φ	PROPN
cana-3826	116	86	𝔮	𝔮	PROPN
cana-3826	116	87	and	and	CCONJ
cana-3826	116	88	𝔫φ′	𝔫φ′	VERB
cana-3826	116	89	𝔮′	𝔮′	NUM
cana-3826	116	90	be	be	AUX
cana-3826	116	91	two	two	NUM
cana-3826	116	92	fhsp	fhsp	ADJ
cana-3826	116	93	’s	’s	NOUN
cana-3826	116	94	.	.	PUNCT
cana-3826	117	1	for	for	ADP
cana-3826	117	2	the	the	DET
cana-3826	117	3	fhsp	fhsp	NOUN
cana-3826	117	4	’s	’s	PART
cana-3826	117	5	𝔪φ	𝔪φ	PROPN
cana-3826	117	6	𝔮	𝔮	PROPN
cana-3826	117	7	and	and	CCONJ
cana-3826	117	8	𝔫φ′	𝔫φ′	VERB
cana-3826	117	9	𝔮′	𝔮′	NUM
cana-3826	117	10	over	over	ADP
cana-3826	117	11	a	a	DET
cana-3826	117	12	common	common	ADJ
cana-3826	117	13	universe	universe	NOUN
cana-3826	117	14	𝔐	𝔐	NOUN
cana-3826	117	15	,	,	PUNCT
cana-3826	117	16	we	we	PRON
cana-3826	117	17	say	say	VERB
cana-3826	117	18	that	that	SCONJ
cana-3826	117	19	fhsp	fhsp	PROPN
cana-3826	117	20	’s	’s	PART
cana-3826	117	21	are	be	AUX
cana-3826	117	22	distinct	distinct	ADJ
cana-3826	117	23	points	point	NOUN
cana-3826	117	24	,	,	PUNCT
cana-3826	117	25	if	if	SCONJ
cana-3826	117	26	𝔪φ	𝔪φ	NOUN
cana-3826	117	27	𝔮	𝔮	PROPN
cana-3826	117	28	∩	∩	X
cana-3826	117	29	𝔫φ′	𝔫φ′	NOUN
cana-3826	117	30	𝔮′	𝔮′	NUM
cana-3826	117	31	=	=	SYM
cana-3826	117	32	0(𝔐,q	0(𝔐,q	NUM
cana-3826	117	33	)	)	PUNCT
cana-3826	117	34	.	.	PUNCT
cana-3826	118	1	it	it	PRON
cana-3826	118	2	is	be	AUX
cana-3826	118	3	clear	clear	ADJ
cana-3826	118	4	that	that	SCONJ
cana-3826	118	5	𝔪φ	𝔪φ	PROPN
cana-3826	118	6	𝔮	𝔮	PROPN
cana-3826	118	7	and	and	CCONJ
cana-3826	118	8	𝔫φ′	𝔫φ′	VERB
cana-3826	118	9	𝔮′	𝔮′	NUM
cana-3826	118	10	are	be	AUX
cana-3826	118	11	distinct	distinct	ADJ
cana-3826	118	12	fhsp	fhsp	ADJ
cana-3826	118	13	’s	’s	PART
cana-3826	118	14	iff	iff	PROPN
cana-3826	118	15	𝔪	𝔪	ADP
cana-3826	118	16	≠	≠	PROPN
cana-3826	118	17	𝔫	𝔫	NOUN
cana-3826	118	18	and	and	CCONJ
cana-3826	118	19	𝔮′	𝔮′	NUM
cana-3826	118	20	≠	≠	PROPN
cana-3826	118	21	𝔮.	𝔮.	NOUN
cana-3826	118	22	definition	definition	NOUN
cana-3826	118	23	2.15	2.15	NUM
cana-3826	118	24	[	[	X
cana-3826	118	25	13	13	NUM
cana-3826	118	26	]	]	PUNCT
cana-3826	118	27	let	let	VERB
cana-3826	118	28	(	(	PUNCT
cana-3826	118	29	𝔐	𝔐	NOUN
cana-3826	118	30	,	,	PUNCT
cana-3826	118	31	q	q	NOUN
cana-3826	118	32	,	,	PUNCT
cana-3826	118	33	τ̃	τ̃	PROPN
cana-3826	118	34	)	)	PUNCT
cana-3826	119	1	be	be	VERB
cana-3826	119	2	fhsts	fhst	NOUN
cana-3826	119	3	over	over	ADP
cana-3826	119	4	𝔐.	𝔐.	PROPN
cana-3826	119	5	a	a	DET
cana-3826	119	6	fhs	fhs	PROPN
cana-3826	119	7	’s	’s	PART
cana-3826	119	8	(	(	PUNCT
cana-3826	119	9	φ̃,∧	φ̃,∧	NOUN
cana-3826	119	10	)	)	PUNCT
cana-3826	119	11	in	in	ADP
cana-3826	119	12	(	(	PUNCT
cana-3826	119	13	𝔐	𝔐	PROPN
cana-3826	119	14	,	,	PUNCT
cana-3826	119	15	q	q	NOUN
cana-3826	119	16	,	,	PUNCT
cana-3826	119	17	τ̃	τ̃	PROPN
cana-3826	119	18	)	)	PUNCT
cana-3826	119	19	is	be	AUX
cana-3826	119	20	called	call	VERB
cana-3826	119	21	a	a	DET
cana-3826	119	22	fuzzy	fuzzy	ADJ
cana-3826	119	23	hypersoft	hypersoft	NOUN
cana-3826	119	24	neighbourhood	neighbourhood	NOUN
cana-3826	119	25	(	(	PUNCT
cana-3826	119	26	briefly	briefly	ADV
cana-3826	119	27	,	,	PUNCT
cana-3826	119	28	fhsnbd	fhsnbd	PROPN
cana-3826	119	29	)	)	PUNCT
cana-3826	119	30	of	of	ADP
cana-3826	119	31	the	the	DET
cana-3826	119	32	fhsp	fhsp	ADJ
cana-3826	119	33	𝔪φ	𝔪φ	NOUN
cana-3826	119	34	𝔮	𝔮	SYM
cana-3826	119	35	∈	∈	PROPN
cana-3826	119	36	(	(	PUNCT
cana-3826	119	37	φ̃,∧	φ̃,∧	NOUN
cana-3826	119	38	)	)	PUNCT
cana-3826	119	39	,	,	PUNCT
cana-3826	119	40	if	if	SCONJ
cana-3826	119	41	there	there	PRON
cana-3826	119	42	exists	exist	VERB
cana-3826	119	43	a	a	DET
cana-3826	119	44	fhsos	fhsos	NOUN
cana-3826	119	45	(	(	PUNCT
cana-3826	119	46	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	119	47	)	)	PUNCT
cana-3826	119	48	such	such	ADJ
cana-3826	119	49	that	that	SCONJ
cana-3826	119	50	𝔪φ	𝔪φ	PROPN
cana-3826	119	51	𝔮	𝔮	SYM
cana-3826	119	52	∈	∈	PROPN
cana-3826	119	53	(	(	PUNCT
cana-3826	119	54	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	119	55	)	)	PUNCT
cana-3826	119	56	⊆	⊆	NUM
cana-3826	119	57	(	(	PUNCT
cana-3826	119	58	φ̃,∧	φ̃,∧	NOUN
cana-3826	119	59	)	)	PUNCT
cana-3826	119	60	.	.	PUNCT
cana-3826	120	1	definition	definition	NOUN
cana-3826	120	2	2.16	2.16	NUM
cana-3826	121	1	[	[	X
cana-3826	121	2	13	13	NUM
cana-3826	121	3	]	]	PUNCT
cana-3826	121	4	let	let	VERB
cana-3826	121	5	(	(	PUNCT
cana-3826	121	6	𝔐	𝔐	NOUN
cana-3826	121	7	,	,	PUNCT
cana-3826	121	8	q	q	NOUN
cana-3826	121	9	,	,	PUNCT
cana-3826	121	10	τ̃	τ̃	PROPN
cana-3826	121	11	)	)	PUNCT
cana-3826	121	12	be	be	VERB
cana-3826	121	13	a	a	DET
cana-3826	121	14	fhsts	fhst	NOUN
cana-3826	121	15	over	over	ADP
cana-3826	121	16	𝔐.	𝔐.	PROPN
cana-3826	121	17	let	let	VERB
cana-3826	121	18	(	(	PUNCT
cana-3826	121	19	φ̃,∧	φ̃,∧	X
cana-3826	121	20	)	)	PUNCT
cana-3826	121	21	be	be	AUX
cana-3826	121	22	a	a	DET
cana-3826	121	23	fhss	fhss	NOUN
cana-3826	121	24	over	over	ADP
cana-3826	121	25	𝔐	𝔐	PROPN
cana-3826	121	26	and	and	CCONJ
cana-3826	121	27	𝔪φ	𝔪φ	NOUN
cana-3826	121	28	𝔮	𝔮	AUX
cana-3826	121	29	be	be	AUX
cana-3826	121	30	a	a	DET
cana-3826	121	31	fhsp	fhsp	NOUN
cana-3826	121	32	over	over	ADP
cana-3826	121	33	𝔐.	𝔐.	PROPN
cana-3826	121	34	[	[	X
cana-3826	121	35	(	(	PUNCT
cana-3826	121	36	i	i	NOUN
cana-3826	121	37	)	)	PUNCT
cana-3826	121	38	]	]	PUNCT
cana-3826	122	1	(	(	PUNCT
cana-3826	122	2	i	i	NOUN
cana-3826	122	3	)	)	PUNCT
cana-3826	122	4	.	.	PUNCT
cana-3826	123	1	𝔪φ	𝔪φ	PROPN
cana-3826	123	2	𝔮	𝔮	PROPN
cana-3826	123	3	is	be	AUX
cana-3826	123	4	a	a	DET
cana-3826	123	5	fuzzy	fuzzy	ADJ
cana-3826	123	6	hypersoft	hypersoft	ADJ
cana-3826	123	7	interior	interior	ADJ
cana-3826	123	8	point	point	NOUN
cana-3826	123	9	of	of	ADP
cana-3826	123	10	(	(	PUNCT
cana-3826	123	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	123	12	)	)	PUNCT
cana-3826	123	13	,	,	PUNCT
cana-3826	123	14	if	if	SCONJ
cana-3826	123	15	(	(	PUNCT
cana-3826	123	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	123	17	)	)	PUNCT
cana-3826	123	18	⊆	⊆	NUM
cana-3826	123	19	(	(	PUNCT
cana-3826	123	20	φ̃,∧	φ̃,∧	NOUN
cana-3826	123	21	)	)	PUNCT
cana-3826	123	22	for	for	ADP
cana-3826	123	23	some	some	DET
cana-3826	123	24	(	(	PUNCT
cana-3826	123	25	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	123	26	)	)	PUNCT
cana-3826	123	27	∈	∈	PROPN
cana-3826	123	28	fhsnbd	fhsnbd	NOUN
cana-3826	123	29	of	of	ADP
cana-3826	123	30	the	the	DET
cana-3826	123	31	fhsp	fhsp	ADJ
cana-3826	123	32	𝔪φ	𝔪φ	PROPN
cana-3826	123	33	𝔮	𝔮	PROPN
cana-3826	123	34	.	.	PUNCT
cana-3826	124	1	(	(	PUNCT
cana-3826	124	2	ii	ii	NOUN
cana-3826	124	3	)	)	PUNCT
cana-3826	124	4	.	.	PUNCT
cana-3826	125	1	𝔪φ	𝔪φ	PROPN
cana-3826	125	2	𝔮	𝔮	PROPN
cana-3826	125	3	is	be	AUX
cana-3826	125	4	a	a	DET
cana-3826	125	5	fuzzy	fuzzy	ADJ
cana-3826	125	6	hypersoft	hypersoft	ADJ
cana-3826	125	7	adherent	adherent	ADJ
cana-3826	125	8	point	point	NOUN
cana-3826	125	9	of	of	ADP
cana-3826	125	10	(	(	PUNCT
cana-3826	125	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	125	12	)	)	PUNCT
cana-3826	125	13	,	,	PUNCT
cana-3826	125	14	if	if	SCONJ
cana-3826	125	15	(	(	PUNCT
cana-3826	125	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	125	17	)	)	PUNCT
cana-3826	125	18	⋂	⋂	PROPN
cana-3826	125	19	(	(	PUNCT
cana-3826	125	20	φ̃,∧	φ̃,∧	NOUN
cana-3826	125	21	)	)	PUNCT
cana-3826	125	22	∉	∉	PROPN
cana-3826	125	23	0(𝔐,q	0(𝔐,q	NUM
cana-3826	125	24	)	)	PUNCT
cana-3826	125	25	for	for	ADP
cana-3826	125	26	any	any	DET
cana-3826	125	27	(	(	PUNCT
cana-3826	125	28	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	125	29	)	)	PUNCT
cana-3826	125	30	∈	∈	PROPN
cana-3826	125	31	fhsnbd	fhsnbd	NOUN
cana-3826	125	32	of	of	ADP
cana-3826	125	33	the	the	DET
cana-3826	125	34	fhsp	fhsp	ADJ
cana-3826	125	35	𝔪φ	𝔪φ	PROPN
cana-3826	125	36	𝔮	𝔮	PROPN
cana-3826	125	37	.	.	PUNCT
cana-3826	126	1	theorem	theorem	VERB
cana-3826	126	2	2.1	2.1	NUM
cana-3826	126	3	[	[	SYM
cana-3826	126	4	13	13	NUM
cana-3826	126	5	]	]	PUNCT
cana-3826	126	6	let	let	VERB
cana-3826	126	7	(	(	PUNCT
cana-3826	126	8	𝔐	𝔐	NOUN
cana-3826	126	9	,	,	PUNCT
cana-3826	126	10	q	q	NOUN
cana-3826	126	11	,	,	PUNCT
cana-3826	126	12	τ̃	τ̃	PROPN
cana-3826	126	13	)	)	PUNCT
cana-3826	126	14	be	be	VERB
cana-3826	126	15	a	a	DET
cana-3826	126	16	fhsts	fhst	NOUN
cana-3826	126	17	over	over	ADP
cana-3826	126	18	𝔐	𝔐	PROPN
cana-3826	126	19	and	and	CCONJ
cana-3826	126	20	(	(	PUNCT
cana-3826	126	21	φ̃,∧	φ̃,∧	X
cana-3826	126	22	)	)	PUNCT
cana-3826	126	23	be	be	AUX
cana-3826	126	24	a	a	DET
cana-3826	126	25	fhss	fhss	NOUN
cana-3826	126	26	over	over	ADP
cana-3826	126	27	𝔐.	𝔐.	PROPN
cana-3826	126	28	then	then	ADV
cana-3826	126	29	1	1	NUM
cana-3826	126	30	.	.	PUNCT
cana-3826	126	31	fhsint(φ̃,∧	fhsint(φ̃,∧	NUM
cana-3826	126	32	)	)	PUNCT
cana-3826	127	1	=	=	SYM
cana-3826	127	2	⋃	⋃	NOUN
cana-3826	127	3	{	{	PUNCT
cana-3826	127	4	𝔪φ	𝔪φ	NOUN
cana-3826	127	5	𝔮	𝔮	PROPN
cana-3826	127	6	:	:	PUNCT
cana-3826	127	7	𝔪φ	𝔪φ	NOUN
cana-3826	127	8	𝔮	𝔮	X
cana-3826	127	9	is	be	AUX
cana-3826	127	10	a	a	DET
cana-3826	127	11	fuzzy	fuzzy	ADJ
cana-3826	127	12	hypersoft	hypersoft	ADJ
cana-3826	127	13	interior	interior	ADJ
cana-3826	127	14	point	point	NOUN
cana-3826	127	15	of	of	ADP
cana-3826	127	16	(	(	PUNCT
cana-3826	127	17	φ̃,∧	φ̃,∧	NOUN
cana-3826	127	18	)	)	PUNCT
cana-3826	127	19	}	}	PUNCT
cana-3826	127	20	.	.	PUNCT
cana-3826	128	1	communications	communication	NOUN
cana-3826	128	2	on	on	ADP
cana-3826	128	3	applied	apply	VERB
cana-3826	128	4	nonlinear	nonlinear	ADJ
cana-3826	128	5	analysis	analysis	NOUN
cana-3826	128	6	issn	issn	NOUN
cana-3826	128	7	:	:	PUNCT
cana-3826	128	8	1074	1074	NUM
cana-3826	128	9	-	-	PUNCT
cana-3826	128	10	133x	133x	NUM
cana-3826	128	11	vol	vol	NOUN
cana-3826	128	12	32	32	NUM
cana-3826	128	13	no	no	NOUN
cana-3826	128	14	.	.	PUNCT
cana-3826	129	1	8s	8s	PROPN
cana-3826	129	2	(	(	PUNCT
cana-3826	129	3	2025	2025	NUM
cana-3826	129	4	)	)	PUNCT
cana-3826	129	5	839	839	NUM
cana-3826	129	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	129	7	2	2	NUM
cana-3826	129	8	.	.	X
cana-3826	129	9	fhscl(φ̃,∧	fhscl(φ̃,∧	NUM
cana-3826	129	10	)	)	PUNCT
cana-3826	130	1	=	=	SYM
cana-3826	130	2	⋃	⋃	NOUN
cana-3826	130	3	{	{	PUNCT
cana-3826	130	4	𝔪φ	𝔪φ	NOUN
cana-3826	130	5	𝔮	𝔮	PROPN
cana-3826	130	6	:	:	PUNCT
cana-3826	130	7	𝔪φ	𝔪φ	NOUN
cana-3826	130	8	𝔮	𝔮	X
cana-3826	130	9	is	be	AUX
cana-3826	130	10	a	a	DET
cana-3826	130	11	fuzzy	fuzzy	ADJ
cana-3826	130	12	hypersoft	hypersoft	ADJ
cana-3826	130	13	adherent	adherent	ADJ
cana-3826	130	14	point	point	NOUN
cana-3826	130	15	of	of	ADP
cana-3826	130	16	(	(	PUNCT
cana-3826	130	17	φ̃,∧	φ̃,∧	NOUN
cana-3826	130	18	)	)	PUNCT
cana-3826	130	19	}	}	PUNCT
cana-3826	130	20	.	.	PUNCT
cana-3826	131	1	definition	definition	NOUN
cana-3826	131	2	2.17	2.17	NUM
cana-3826	132	1	[	[	X
cana-3826	132	2	13	13	NUM
cana-3826	132	3	]	]	PUNCT
cana-3826	132	4	let	let	VERB
cana-3826	132	5	(	(	PUNCT
cana-3826	132	6	𝔐	𝔐	NOUN
cana-3826	132	7	,	,	PUNCT
cana-3826	132	8	q	q	NOUN
cana-3826	132	9	,	,	PUNCT
cana-3826	132	10	τ̃	τ̃	PROPN
cana-3826	132	11	)	)	PUNCT
cana-3826	132	12	be	be	VERB
cana-3826	132	13	a	a	DET
cana-3826	132	14	fhsts	fhst	NOUN
cana-3826	132	15	over	over	ADP
cana-3826	132	16	𝔐	𝔐	PROPN
cana-3826	132	17	and	and	CCONJ
cana-3826	132	18	(	(	PUNCT
cana-3826	132	19	φ̃,∧	φ̃,∧	X
cana-3826	132	20	)	)	PUNCT
cana-3826	132	21	be	be	AUX
cana-3826	132	22	an	an	DET
cana-3826	132	23	arbitrary	arbitrary	ADJ
cana-3826	132	24	fhs	fhs	NOUN
cana-3826	132	25	’s	’s	NOUN
cana-3826	132	26	.	.	PUNCT
cana-3826	133	1	then	then	ADV
cana-3826	133	2	τ̃(φ̃,∧	τ̃(φ̃,∧	NUM
cana-3826	133	3	)	)	PUNCT
cana-3826	133	4	=	=	PRON
cana-3826	133	5	{	{	PUNCT
cana-3826	133	6	(	(	PUNCT
cana-3826	133	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	133	8	)	)	PUNCT
cana-3826	133	9	∩	∩	NOUN
cana-3826	133	10	(	(	PUNCT
cana-3826	133	11	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	133	12	):	):	PUNCT
cana-3826	133	13	(	(	PUNCT
cana-3826	133	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	133	15	)	)	PUNCT
cana-3826	133	16	∈	∈	PROPN
cana-3826	133	17	τ̃	τ̃	PROPN
cana-3826	133	18	}	}	PUNCT
cana-3826	133	19	is	be	AUX
cana-3826	133	20	called	call	VERB
cana-3826	133	21	fhst	fhst	NOUN
cana-3826	133	22	on	on	ADP
cana-3826	133	23	(	(	PUNCT
cana-3826	133	24	φ̃,∧	φ̃,∧	NOUN
cana-3826	133	25	)	)	PUNCT
cana-3826	133	26	and	and	CCONJ
cana-3826	133	27	(	(	PUNCT
cana-3826	133	28	(	(	PUNCT
cana-3826	133	29	φ̃,∧	φ̃,∧	NOUN
cana-3826	133	30	)	)	PUNCT
cana-3826	133	31	,	,	PUNCT
cana-3826	133	32	τ̃(φ̃,∧	τ̃(φ̃,∧	NUM
cana-3826	133	33	)	)	PUNCT
cana-3826	133	34	,	,	PUNCT
cana-3826	133	35	q	q	X
cana-3826	133	36	)	)	PUNCT
cana-3826	133	37	is	be	AUX
cana-3826	133	38	known	know	VERB
cana-3826	133	39	as	as	ADP
cana-3826	133	40	a	a	DET
cana-3826	133	41	fuzzy	fuzzy	ADJ
cana-3826	133	42	hypersoft	hypersoft	PROPN
cana-3826	133	43	topological	topological	ADJ
cana-3826	133	44	subspace	subspace	NOUN
cana-3826	133	45	(	(	PUNCT
cana-3826	133	46	briefly	briefly	ADV
cana-3826	133	47	,	,	PUNCT
cana-3826	133	48	fhstss	fhstss	NOUN
cana-3826	133	49	)	)	PUNCT
cana-3826	133	50	of	of	ADP
cana-3826	133	51	(	(	PUNCT
cana-3826	133	52	𝔐	𝔐	PROPN
cana-3826	133	53	,	,	PUNCT
cana-3826	133	54	q	q	NOUN
cana-3826	133	55	,	,	PUNCT
cana-3826	133	56	τ̃	τ̃	PROPN
cana-3826	133	57	)	)	PUNCT
cana-3826	133	58	.	.	PUNCT
cana-3826	134	1	3	3	NUM
cana-3826	134	2	fuzzy	fuzzy	ADJ
cana-3826	134	3	hypersoft	hypersoft	NOUN
cana-3826	134	4	𝛉-separation	𝛉-separation	NOUN
cana-3826	134	5	axioms	axioms	PROPN
cana-3826	134	6	definition	definition	NOUN
cana-3826	134	7	3.1	3.1	NUM
cana-3826	134	8	let	let	NOUN
cana-3826	134	9	(	(	PUNCT
cana-3826	134	10	𝔐	𝔐	NOUN
cana-3826	134	11	,	,	PUNCT
cana-3826	134	12	q	q	NOUN
cana-3826	134	13	,	,	PUNCT
cana-3826	134	14	τ̃	τ̃	PROPN
cana-3826	134	15	)	)	PUNCT
cana-3826	134	16	be	be	VERB
cana-3826	134	17	a	a	DET
cana-3826	134	18	fhysts	fhyst	NOUN
cana-3826	134	19	over	over	ADP
cana-3826	134	20	𝔐	𝔐	PROPN
cana-3826	134	21	and	and	CCONJ
cana-3826	134	22	(	(	PUNCT
cana-3826	134	23	φ̃,∧	φ̃,∧	X
cana-3826	134	24	)	)	PUNCT
cana-3826	134	25	be	be	AUX
cana-3826	134	26	a	a	DET
cana-3826	134	27	fhyss	fhyss	NOUN
cana-3826	134	28	on	on	ADP
cana-3826	134	29	𝔐.	𝔐.	PROPN
cana-3826	134	30	then	then	ADV
cana-3826	134	31	the	the	DET
cana-3826	134	32	fuzzy	fuzzy	ADJ
cana-3826	134	33	hypersoft	hypersoft	NOUN
cana-3826	134	34	(	(	PUNCT
cana-3826	134	35	i	i	NOUN
cana-3826	134	36	)	)	PUNCT
cana-3826	134	37	.	.	PUNCT
cana-3826	135	1	θ	θ	X
cana-3826	135	2	-	-	NOUN
cana-3826	135	3	interior	interior	ADJ
cana-3826	135	4	(	(	PUNCT
cana-3826	135	5	briefly	briefly	ADV
cana-3826	135	6	,	,	PUNCT
cana-3826	135	7	fhsint	fhsint	NOUN
cana-3826	135	8	)	)	PUNCT
cana-3826	135	9	of	of	ADP
cana-3826	135	10	(	(	PUNCT
cana-3826	135	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	135	12	)	)	PUNCT
cana-3826	135	13	is	be	AUX
cana-3826	135	14	defined	define	VERB
cana-3826	135	15	by	by	ADP
cana-3826	135	16	fhsθint(φ̃,∧	fhsθint(φ̃,∧	X
cana-3826	135	17	)	)	PUNCT
cana-3826	135	18	=	=	SYM
cana-3826	135	19	⋃	⋃	NOUN
cana-3826	135	20	{	{	PUNCT
cana-3826	135	21	(	(	PUNCT
cana-3826	135	22	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	135	23	):	):	PUNCT
cana-3826	135	24	(	(	PUNCT
cana-3826	135	25	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	135	26	)	)	PUNCT
cana-3826	136	1	⊆	⊆	NUM
cana-3826	136	2	(	(	PUNCT
cana-3826	136	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	136	4	)	)	PUNCT
cana-3826	136	5	and	and	CCONJ
cana-3826	136	6	(	(	PUNCT
cana-3826	136	7	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	136	8	)	)	PUNCT
cana-3826	136	9	is	be	AUX
cana-3826	136	10	a	a	DET
cana-3826	136	11	fhscs	fhsc	NOUN
cana-3826	136	12	in	in	ADP
cana-3826	136	13	𝔐	𝔐	NOUN
cana-3826	136	14	}	}	PUNCT
cana-3826	136	15	(	(	PUNCT
cana-3826	136	16	ii	ii	NOUN
cana-3826	136	17	)	)	PUNCT
cana-3826	136	18	.	.	PUNCT
cana-3826	137	1	θ	θ	X
cana-3826	137	2	-	-	PUNCT
cana-3826	137	3	closure	closure	NOUN
cana-3826	137	4	(	(	PUNCT
cana-3826	137	5	briefly	briefly	ADV
cana-3826	137	6	,	,	PUNCT
cana-3826	137	7	fhscl	fhscl	PROPN
cana-3826	137	8	)	)	PUNCT
cana-3826	137	9	of	of	ADP
cana-3826	137	10	(	(	PUNCT
cana-3826	137	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	137	12	)	)	PUNCT
cana-3826	137	13	is	be	AUX
cana-3826	137	14	defined	define	VERB
cana-3826	137	15	by	by	ADP
cana-3826	137	16	fhsθcl(φ̃,∧	fhsθcl(φ̃,∧	NOUN
cana-3826	137	17	)	)	PUNCT
cana-3826	138	1	=	=	SYM
cana-3826	138	2	⋂	⋂	PROPN
cana-3826	138	3	{	{	PUNCT
cana-3826	138	4	(	(	PUNCT
cana-3826	138	5	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	138	6	):	):	PUNCT
cana-3826	138	7	(	(	PUNCT
cana-3826	138	8	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	138	9	)	)	PUNCT
cana-3826	138	10	⊇	⊇	NOUN
cana-3826	138	11	(	(	PUNCT
cana-3826	138	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	138	13	)	)	PUNCT
cana-3826	138	14	and	and	CCONJ
cana-3826	138	15	(	(	PUNCT
cana-3826	138	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	138	17	)	)	PUNCT
cana-3826	138	18	is	be	AUX
cana-3826	138	19	a	a	DET
cana-3826	138	20	fhsos	fhsos	NOUN
cana-3826	138	21	in	in	ADP
cana-3826	138	22	𝔐	𝔐	NOUN
cana-3826	138	23	}	}	PUNCT
cana-3826	138	24	definition	definition	NOUN
cana-3826	138	25	3.2	3.2	NUM
cana-3826	138	26	let	let	VERB
cana-3826	138	27	(	(	PUNCT
cana-3826	138	28	𝔐	𝔐	NOUN
cana-3826	138	29	,	,	PUNCT
cana-3826	138	30	q	q	NOUN
cana-3826	138	31	,	,	PUNCT
cana-3826	138	32	τ̃	τ̃	PROPN
cana-3826	138	33	)	)	PUNCT
cana-3826	138	34	be	be	VERB
cana-3826	138	35	a	a	DET
cana-3826	138	36	fhsts	fhst	NOUN
cana-3826	138	37	over	over	ADP
cana-3826	138	38	𝔐.	𝔐.	PROPN
cana-3826	138	39	an	an	DET
cana-3826	138	40	fhss	fhss	PROPN
cana-3826	138	41	(	(	PUNCT
cana-3826	138	42	φ̃,∧	φ̃,∧	PROPN
cana-3826	138	43	)	)	PUNCT
cana-3826	138	44	is	be	AUX
cana-3826	138	45	said	say	VERB
cana-3826	138	46	to	to	PART
cana-3826	138	47	be	be	AUX
cana-3826	138	48	a	a	DET
cana-3826	138	49	fuzzy	fuzzy	ADJ
cana-3826	138	50	hypersoft	hypersoft	NOUN
cana-3826	138	51	(	(	PUNCT
cana-3826	138	52	i	i	NOUN
cana-3826	138	53	)	)	PUNCT
cana-3826	138	54	.	.	PUNCT
cana-3826	139	1	θ	θ	X
cana-3826	139	2	-	-	PUNCT
cana-3826	139	3	open	open	ADJ
cana-3826	139	4	set	set	NOUN
cana-3826	139	5	(	(	PUNCT
cana-3826	139	6	briefly	briefly	ADV
cana-3826	139	7	,	,	PUNCT
cana-3826	139	8	fhsθos	fhsθos	PROPN
cana-3826	139	9	)	)	PUNCT
cana-3826	139	10	if	if	SCONJ
cana-3826	139	11	(	(	PUNCT
cana-3826	139	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	139	13	)	)	PUNCT
cana-3826	139	14	=	=	SYM
cana-3826	139	15	fhsθint(φ̃,∧	fhsθint(φ̃,∧	X
cana-3826	139	16	)	)	PUNCT
cana-3826	139	17	(	(	PUNCT
cana-3826	139	18	ii	ii	NOUN
cana-3826	139	19	)	)	PUNCT
cana-3826	139	20	.	.	PUNCT
cana-3826	140	1	θ	θ	X
cana-3826	140	2	-	-	PUNCT
cana-3826	140	3	pre	pre	X
cana-3826	140	4	open	open	ADJ
cana-3826	140	5	set	set	NOUN
cana-3826	140	6	(	(	PUNCT
cana-3826	140	7	briefly	briefly	ADV
cana-3826	140	8	,	,	PUNCT
cana-3826	140	9	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	140	10	)	)	PUNCT
cana-3826	140	11	if	if	SCONJ
cana-3826	140	12	(	(	PUNCT
cana-3826	140	13	φ̃,∧	φ̃,∧	NOUN
cana-3826	140	14	)	)	PUNCT
cana-3826	140	15	⊆	⊆	NUM
cana-3826	140	16	fhsint(fhsθcl(φ̃,∧	fhsint(fhsθcl(φ̃,∧	NOUN
cana-3826	140	17	)	)	PUNCT
cana-3826	140	18	)	)	PUNCT
cana-3826	140	19	(	(	PUNCT
cana-3826	140	20	iii	iii	NOUN
cana-3826	140	21	)	)	PUNCT
cana-3826	140	22	.	.	PUNCT
cana-3826	141	1	θ	θ	X
cana-3826	141	2	-	-	PUNCT
cana-3826	141	3	semi	semi	ADJ
cana-3826	141	4	open	open	ADJ
cana-3826	141	5	set	set	NOUN
cana-3826	141	6	(	(	PUNCT
cana-3826	141	7	briefly	briefly	ADV
cana-3826	141	8	,	,	PUNCT
cana-3826	141	9	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	141	10	)	)	PUNCT
cana-3826	141	11	if	if	SCONJ
cana-3826	141	12	(	(	PUNCT
cana-3826	141	13	φ̃,∧	φ̃,∧	NOUN
cana-3826	141	14	)	)	PUNCT
cana-3826	141	15	⊆	⊆	NUM
cana-3826	141	16	fhscl(fhsθint(φ̃,∧	fhscl(fhsθint(φ̃,∧	NOUN
cana-3826	141	17	)	)	PUNCT
cana-3826	141	18	)	)	PUNCT
cana-3826	142	1	the	the	DET
cana-3826	142	2	complement	complement	NOUN
cana-3826	142	3	of	of	ADP
cana-3826	142	4	fhsθos	fhsθos	NOUN
cana-3826	142	5	(	(	PUNCT
cana-3826	142	6	resp	resp	NOUN
cana-3826	142	7	.	.	PUNCT
cana-3826	143	1	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	143	2	&	&	CCONJ
cana-3826	143	3	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	143	4	)	)	PUNCT
cana-3826	143	5	is	be	AUX
cana-3826	143	6	called	call	VERB
cana-3826	143	7	a	a	DET
cana-3826	143	8	fhsθ	fhsθ	NOUN
cana-3826	143	9	(	(	PUNCT
cana-3826	143	10	resp	resp	NOUN
cana-3826	143	11	.	.	PUNCT
cana-3826	143	12	fhsθ	fhsθ	PROPN
cana-3826	143	13	pre	pre	PROPN
cana-3826	143	14	&	&	CCONJ
cana-3826	143	15	fhsθ	fhsθ	NOUN
cana-3826	143	16	semi	semi	ADJ
cana-3826	143	17	)	)	PUNCT
cana-3826	143	18	closed	close	VERB
cana-3826	143	19	set	set	VERB
cana-3826	143	20	(	(	PUNCT
cana-3826	143	21	briefly	briefly	ADV
cana-3826	143	22	,	,	PUNCT
cana-3826	143	23	fhsθcs	fhsθcs	PROPN
cana-3826	143	24	(	(	PUNCT
cana-3826	143	25	resp	resp	NOUN
cana-3826	143	26	.	.	PUNCT
cana-3826	144	1	fhsθ𝒫cs	fhsθ𝒫cs	PROPN
cana-3826	144	2	&	&	CCONJ
cana-3826	144	3	fhsθ𝒮cs	fhsθ𝒮c	NOUN
cana-3826	144	4	)	)	PUNCT
cana-3826	144	5	)	)	PUNCT
cana-3826	144	6	in	in	ADP
cana-3826	144	7	𝔐.	𝔐.	PROPN
cana-3826	144	8	the	the	DET
cana-3826	144	9	family	family	NOUN
cana-3826	144	10	of	of	ADP
cana-3826	144	11	all	all	DET
cana-3826	144	12	fhsθos	fhsθos	NOUN
cana-3826	144	13	(	(	PUNCT
cana-3826	144	14	resp	resp	NOUN
cana-3826	144	15	.	.	PUNCT
cana-3826	145	1	fhsθcs	fhsθcs	PROPN
cana-3826	145	2	,	,	PUNCT
cana-3826	145	3	fhsθ𝒫os	fhsθ𝒫os	PRON
cana-3826	145	4	,	,	PUNCT
cana-3826	145	5	fhsθ𝒫cs	fhsθ𝒫cs	PROPN
cana-3826	145	6	,	,	PUNCT
cana-3826	145	7	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	145	8	&	&	CCONJ
cana-3826	145	9	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	145	10	)	)	PUNCT
cana-3826	145	11	of	of	ADP
cana-3826	145	12	𝔐	𝔐	PRON
cana-3826	145	13	is	be	AUX
cana-3826	145	14	denoted	denote	VERB
cana-3826	145	15	by	by	ADP
cana-3826	145	16	fhsθos(𝔐	fhsθos(𝔐	PROPN
cana-3826	145	17	)	)	PUNCT
cana-3826	145	18	(	(	PUNCT
cana-3826	145	19	resp	resp	NOUN
cana-3826	145	20	.	.	PUNCT
cana-3826	145	21	fhsθcs(𝔐	fhsθcs(𝔐	PROPN
cana-3826	145	22	)	)	PUNCT
cana-3826	145	23	,	,	PUNCT
cana-3826	145	24	fhs𝒫os(𝔐	fhs𝒫os(𝔐	PROPN
cana-3826	145	25	)	)	PUNCT
cana-3826	145	26	,	,	PUNCT
cana-3826	145	27	fhs𝒫cs(𝔐	fhs𝒫cs(𝔐	PROPN
cana-3826	145	28	)	)	PUNCT
cana-3826	145	29	,	,	PUNCT
cana-3826	145	30	fhsθ𝒫os(𝔐	fhsθ𝒫os(𝔐	NOUN
cana-3826	145	31	)	)	PUNCT
cana-3826	145	32	,	,	PUNCT
cana-3826	145	33	fhsθ𝒫cs(𝔐	fhsθ𝒫cs(𝔐	NOUN
cana-3826	145	34	)	)	PUNCT
cana-3826	145	35	,	,	PUNCT
cana-3826	145	36	fhsθ𝒮os(𝔐	fhsθ𝒮os(𝔐	NOUN
cana-3826	145	37	)	)	PUNCT
cana-3826	145	38	&	&	CCONJ
cana-3826	145	39	fhsθ𝒮cs(𝔐	fhsθ𝒮cs(𝔐	NUM
cana-3826	145	40	)	)	PUNCT
cana-3826	145	41	)	)	PUNCT
cana-3826	145	42	.	.	PUNCT
cana-3826	146	1	definition	definition	NOUN
cana-3826	146	2	3.3	3.3	NUM
cana-3826	146	3	let	let	VERB
cana-3826	146	4	(	(	PUNCT
cana-3826	146	5	𝔐	𝔐	NOUN
cana-3826	146	6	,	,	PUNCT
cana-3826	146	7	q	q	NOUN
cana-3826	146	8	,	,	PUNCT
cana-3826	146	9	τ̃	τ̃	PROPN
cana-3826	146	10	)	)	PUNCT
cana-3826	146	11	be	be	VERB
cana-3826	146	12	a	a	DET
cana-3826	146	13	fhsts	fhst	NOUN
cana-3826	146	14	over	over	ADP
cana-3826	146	15	𝔐	𝔐	PROPN
cana-3826	146	16	and	and	CCONJ
cana-3826	146	17	(	(	PUNCT
cana-3826	146	18	φ̃,∧	φ̃,∧	X
cana-3826	146	19	)	)	PUNCT
cana-3826	146	20	be	be	AUX
cana-3826	146	21	a	a	DET
cana-3826	146	22	fhss	fhss	NOUN
cana-3826	146	23	on	on	ADP
cana-3826	146	24	𝔐.	𝔐.	PROPN
cana-3826	146	25	then	then	ADV
cana-3826	146	26	the	the	DET
cana-3826	146	27	fuzzy	fuzzy	ADJ
cana-3826	146	28	hypersoft	hypersoft	NOUN
cana-3826	146	29	(	(	PUNCT
cana-3826	146	30	i	i	NOUN
cana-3826	146	31	)	)	PUNCT
cana-3826	146	32	.	.	PUNCT
cana-3826	147	1	θ	θ	X
cana-3826	147	2	-	-	PUNCT
cana-3826	147	3	pre	pre	X
cana-3826	147	4	(	(	PUNCT
cana-3826	147	5	resp	resp	NOUN
cana-3826	147	6	.	.	PUNCT
cana-3826	148	1	θ	θ	X
cana-3826	148	2	-	-	PUNCT
cana-3826	148	3	semi	semi	ADJ
cana-3826	148	4	)	)	PUNCT
cana-3826	148	5	interior	interior	ADJ
cana-3826	148	6	(	(	PUNCT
cana-3826	148	7	briefly	briefly	ADV
cana-3826	148	8	,	,	PUNCT
cana-3826	148	9	fhsθ𝒫int	fhsθ𝒫int	NOUN
cana-3826	148	10	(	(	PUNCT
cana-3826	148	11	resp	resp	NOUN
cana-3826	148	12	.	.	PUNCT
cana-3826	149	1	fhsθ𝒮int	fhsθ𝒮int	NOUN
cana-3826	149	2	)	)	PUNCT
cana-3826	149	3	)	)	PUNCT
cana-3826	150	1	of	of	ADP
cana-3826	150	2	(	(	PUNCT
cana-3826	150	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	150	4	)	)	PUNCT
cana-3826	150	5	is	be	AUX
cana-3826	150	6	defined	define	VERB
cana-3826	150	7	by	by	ADP
cana-3826	150	8	fhsθ𝒫int(φ̃,∧	fhsθ𝒫int(φ̃,∧	NOUN
cana-3826	150	9	)	)	PUNCT
cana-3826	150	10	=	=	SYM
cana-3826	150	11	⋃	⋃	NOUN
cana-3826	150	12	{	{	PUNCT
cana-3826	150	13	(	(	PUNCT
cana-3826	150	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	150	15	):	):	PUNCT
cana-3826	150	16	(	(	PUNCT
cana-3826	150	17	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	150	18	)	)	PUNCT
cana-3826	150	19	⊆	⊆	NUM
cana-3826	150	20	(	(	PUNCT
cana-3826	150	21	φ̃,∧	φ̃,∧	NOUN
cana-3826	150	22	)	)	PUNCT
cana-3826	150	23	and	and	CCONJ
cana-3826	150	24	(	(	PUNCT
cana-3826	150	25	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	150	26	)	)	PUNCT
cana-3826	150	27	is	be	AUX
cana-3826	150	28	a	a	DET
cana-3826	150	29	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	150	30	(	(	PUNCT
cana-3826	150	31	resp	resp	NOUN
cana-3826	150	32	.	.	PUNCT
cana-3826	151	1	fhsθ𝒮os	fhsθ𝒮os	NOUN
cana-3826	151	2	)	)	PUNCT
cana-3826	151	3	in	in	ADP
cana-3826	151	4	𝔐	𝔐	NOUN
cana-3826	151	5	}	}	PUNCT
cana-3826	151	6	(	(	PUNCT
cana-3826	151	7	ii	ii	NOUN
cana-3826	151	8	)	)	PUNCT
cana-3826	151	9	.	.	PUNCT
cana-3826	152	1	θ	θ	X
cana-3826	152	2	-	-	PUNCT
cana-3826	152	3	pre	pre	X
cana-3826	152	4	(	(	PUNCT
cana-3826	152	5	resp	resp	NOUN
cana-3826	152	6	.	.	PUNCT
cana-3826	153	1	θ	θ	X
cana-3826	153	2	-	-	PUNCT
cana-3826	153	3	semi	semi	ADJ
cana-3826	153	4	)	)	PUNCT
cana-3826	153	5	closure	closure	NOUN
cana-3826	153	6	(	(	PUNCT
cana-3826	153	7	briefly	briefly	ADV
cana-3826	153	8	,	,	PUNCT
cana-3826	153	9	fhsθ𝒫cl	fhsθ𝒫cl	PROPN
cana-3826	153	10	(	(	PUNCT
cana-3826	153	11	resp	resp	NOUN
cana-3826	153	12	.	.	PUNCT
cana-3826	154	1	fhsθ𝒮cl	fhsθ𝒮cl	NOUN
cana-3826	154	2	)	)	PUNCT
cana-3826	154	3	)	)	PUNCT
cana-3826	155	1	of	of	ADP
cana-3826	155	2	(	(	PUNCT
cana-3826	155	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	155	4	)	)	PUNCT
cana-3826	155	5	is	be	AUX
cana-3826	155	6	defined	define	VERB
cana-3826	155	7	by	by	ADP
cana-3826	155	8	fhsθ𝒫cl(φ̃,∧	fhsθ𝒫cl(φ̃,∧	NOUN
cana-3826	155	9	)	)	PUNCT
cana-3826	155	10	=	=	SYM
cana-3826	155	11	⋂	⋂	PROPN
cana-3826	155	12	{	{	PUNCT
cana-3826	155	13	(	(	PUNCT
cana-3826	155	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	155	15	):	):	PUNCT
cana-3826	155	16	(	(	PUNCT
cana-3826	155	17	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	155	18	)	)	PUNCT
cana-3826	155	19	⊇	⊇	NOUN
cana-3826	155	20	(	(	PUNCT
cana-3826	155	21	φ̃,∧	φ̃,∧	NOUN
cana-3826	155	22	)	)	PUNCT
cana-3826	155	23	and	and	CCONJ
cana-3826	155	24	(	(	PUNCT
cana-3826	155	25	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	155	26	)	)	PUNCT
cana-3826	155	27	is	be	AUX
cana-3826	155	28	a	a	DET
cana-3826	155	29	fhsθ𝒫cs	fhsθ𝒫cs	PROPN
cana-3826	155	30	(	(	PUNCT
cana-3826	155	31	resp	resp	NOUN
cana-3826	155	32	.	.	PUNCT
cana-3826	156	1	fhsθ𝒮cs	fhsθ𝒮c	NOUN
cana-3826	156	2	)	)	PUNCT
cana-3826	156	3	in	in	ADP
cana-3826	156	4	𝔐	𝔐	NOUN
cana-3826	156	5	}	}	PUNCT
cana-3826	156	6	definition	definition	NOUN
cana-3826	156	7	3.4	3.4	NUM
cana-3826	156	8	let	let	VERB
cana-3826	156	9	(	(	PUNCT
cana-3826	156	10	𝔐	𝔐	NOUN
cana-3826	156	11	,	,	PUNCT
cana-3826	156	12	q	q	NOUN
cana-3826	156	13	,	,	PUNCT
cana-3826	156	14	τ̃	τ̃	PROPN
cana-3826	156	15	)	)	PUNCT
cana-3826	156	16	be	be	VERB
cana-3826	156	17	fhsts	fhst	NOUN
cana-3826	156	18	over	over	ADP
cana-3826	156	19	𝔐.	𝔐.	PROPN
cana-3826	156	20	a	a	DET
cana-3826	156	21	fhs	fhs	PROPN
cana-3826	156	22	’s	’s	PART
cana-3826	156	23	(	(	PUNCT
cana-3826	156	24	φ̃,∧	φ̃,∧	NOUN
cana-3826	156	25	)	)	PUNCT
cana-3826	156	26	in	in	ADP
cana-3826	156	27	(	(	PUNCT
cana-3826	156	28	𝔐	𝔐	PROPN
cana-3826	156	29	,	,	PUNCT
cana-3826	156	30	q	q	NOUN
cana-3826	156	31	,	,	PUNCT
cana-3826	156	32	τ̃	τ̃	PROPN
cana-3826	156	33	)	)	PUNCT
cana-3826	156	34	is	be	AUX
cana-3826	156	35	called	call	VERB
cana-3826	156	36	a	a	DET
cana-3826	156	37	fuzzy	fuzzy	ADJ
cana-3826	156	38	hypersoft	hypersoft	NOUN
cana-3826	156	39	θ	θ	PROPN
cana-3826	156	40	(	(	PUNCT
cana-3826	156	41	resp	resp	NOUN
cana-3826	156	42	.	.	PUNCT
cana-3826	157	1	θ	θ	NOUN
cana-3826	157	2	semi	semi	ADV
cana-3826	157	3	&	&	CCONJ
cana-3826	157	4	θ	θ	PROPN
cana-3826	157	5	pre)neighbourhood	pre)neighbourhood	PROPN
cana-3826	157	6	(	(	PUNCT
cana-3826	157	7	briefly	briefly	ADV
cana-3826	157	8	,	,	PUNCT
cana-3826	157	9	fhsθ(resp	fhsθ(resp	PROPN
cana-3826	157	10	.	.	PUNCT
cana-3826	158	1	θ	θ	PROPN
cana-3826	158	2	semi	semi	NOUN
cana-3826	158	3	&	&	CCONJ
cana-3826	158	4	θ	θ	PROPN
cana-3826	158	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	158	6	)	)	PUNCT
cana-3826	158	7	of	of	ADP
cana-3826	158	8	the	the	DET
cana-3826	158	9	fhsp	fhsp	ADJ
cana-3826	158	10	𝔪φ	𝔪φ	NOUN
cana-3826	158	11	𝔮	𝔮	SYM
cana-3826	158	12	∈	∈	PROPN
cana-3826	158	13	(	(	PUNCT
cana-3826	158	14	φ̃,∧	φ̃,∧	NOUN
cana-3826	158	15	)	)	PUNCT
cana-3826	158	16	,	,	PUNCT
cana-3826	158	17	if	if	SCONJ
cana-3826	158	18	there	there	PRON
cana-3826	158	19	exists	exist	VERB
cana-3826	158	20	a	a	DET
cana-3826	158	21	fhsθos	fhsθos	NOUN
cana-3826	158	22	(	(	PUNCT
cana-3826	158	23	resp	resp	NOUN
cana-3826	158	24	.	.	PUNCT
cana-3826	159	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	159	2	&	&	CCONJ
cana-3826	159	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	159	4	)	)	PUNCT
cana-3826	159	5	(	(	PUNCT
cana-3826	159	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	159	7	)	)	PUNCT
cana-3826	159	8	such	such	ADJ
cana-3826	159	9	that	that	SCONJ
cana-3826	159	10	𝔪φ	𝔪φ	PROPN
cana-3826	159	11	𝔮	𝔮	SYM
cana-3826	159	12	∈	∈	PROPN
cana-3826	159	13	(	(	PUNCT
cana-3826	159	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	159	15	)	)	PUNCT
cana-3826	159	16	⊆	⊆	NUM
cana-3826	159	17	(	(	PUNCT
cana-3826	159	18	φ̃,∧	φ̃,∧	NOUN
cana-3826	159	19	)	)	PUNCT
cana-3826	159	20	.	.	PUNCT
cana-3826	160	1	theorem	theorem	VERB
cana-3826	160	2	3.1	3.1	NUM
cana-3826	160	3	let	let	NOUN
cana-3826	160	4	(	(	PUNCT
cana-3826	160	5	𝔐	𝔐	NOUN
cana-3826	160	6	,	,	PUNCT
cana-3826	160	7	q	q	NOUN
cana-3826	160	8	,	,	PUNCT
cana-3826	160	9	τ̃	τ̃	PROPN
cana-3826	160	10	)	)	PUNCT
cana-3826	160	11	be	be	VERB
cana-3826	160	12	fhsts	fhst	NOUN
cana-3826	160	13	over	over	ADP
cana-3826	160	14	𝔐	𝔐	PROPN
cana-3826	160	15	and	and	CCONJ
cana-3826	160	16	(	(	PUNCT
cana-3826	160	17	φ̃,∧	φ̃,∧	X
cana-3826	160	18	)	)	PUNCT
cana-3826	160	19	be	be	AUX
cana-3826	160	20	a	a	DET
cana-3826	160	21	fhs	fhs	NOUN
cana-3826	160	22	’s	’s	NOUN
cana-3826	160	23	on	on	ADP
cana-3826	160	24	𝔐.	𝔐.	PROPN
cana-3826	160	25	then	then	ADV
cana-3826	160	26	(	(	PUNCT
cana-3826	160	27	φ̃,∧	φ̃,∧	NOUN
cana-3826	160	28	)	)	PUNCT
cana-3826	160	29	is	be	AUX
cana-3826	160	30	a	a	DET
cana-3826	160	31	fhsθos	fhsθos	NOUN
cana-3826	160	32	(	(	PUNCT
cana-3826	160	33	resp	resp	NOUN
cana-3826	160	34	.	.	PUNCT
cana-3826	161	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	161	2	&	&	CCONJ
cana-3826	161	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	161	4	)	)	PUNCT
cana-3826	161	5	iff	iff	NOUN
cana-3826	161	6	(	(	PUNCT
cana-3826	161	7	φ̃,∧	φ̃,∧	PROPN
cana-3826	161	8	)	)	PUNCT
cana-3826	161	9	is	be	AUX
cana-3826	161	10	a	a	DET
cana-3826	161	11	fhsθ(resp	fhsθ(resp	PROPN
cana-3826	161	12	.	.	PUNCT
cana-3826	162	1	θ	θ	PROPN
cana-3826	162	2	semi	semi	NOUN
cana-3826	162	3	&	&	CCONJ
cana-3826	162	4	θ	θ	PROPN
cana-3826	162	5	pre)nbd	pre)nbd	NOUN
cana-3826	162	6	of	of	ADP
cana-3826	162	7	its	its	PRON
cana-3826	162	8	fhsp	fhsp	NOUN
cana-3826	162	9	’s	’s	NOUN
cana-3826	162	10	.	.	PUNCT
cana-3826	163	1	communications	communication	NOUN
cana-3826	163	2	on	on	ADP
cana-3826	163	3	applied	apply	VERB
cana-3826	163	4	nonlinear	nonlinear	ADJ
cana-3826	163	5	analysis	analysis	NOUN
cana-3826	163	6	issn	issn	NOUN
cana-3826	163	7	:	:	PUNCT
cana-3826	163	8	1074	1074	NUM
cana-3826	163	9	-	-	PUNCT
cana-3826	163	10	133x	133x	NUM
cana-3826	163	11	vol	vol	NOUN
cana-3826	163	12	32	32	NUM
cana-3826	163	13	no	no	NOUN
cana-3826	163	14	.	.	PUNCT
cana-3826	164	1	8s	8s	PROPN
cana-3826	164	2	(	(	PUNCT
cana-3826	164	3	2025	2025	NUM
cana-3826	164	4	)	)	PUNCT
cana-3826	164	5	840	840	NUM
cana-3826	164	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	164	7	proof	proof	NOUN
cana-3826	164	8	.	.	PUNCT
cana-3826	165	1	let	let	VERB
cana-3826	165	2	(	(	PUNCT
cana-3826	165	3	φ̃,∧	φ̃,∧	X
cana-3826	165	4	)	)	PUNCT
cana-3826	165	5	be	be	AUX
cana-3826	165	6	a	a	DET
cana-3826	165	7	fhsθos	fhsθos	NOUN
cana-3826	165	8	(	(	PUNCT
cana-3826	165	9	resp	resp	NOUN
cana-3826	165	10	.	.	PUNCT
cana-3826	166	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	166	2	&	&	CCONJ
cana-3826	166	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	166	4	)	)	PUNCT
cana-3826	166	5	and	and	CCONJ
cana-3826	166	6	𝔪φ	𝔪φ	NOUN
cana-3826	166	7	𝔮	𝔮	SYM
cana-3826	166	8	∈	∈	PROPN
cana-3826	166	9	(	(	PUNCT
cana-3826	166	10	φ̃,∧	φ̃,∧	NOUN
cana-3826	166	11	)	)	PUNCT
cana-3826	166	12	.	.	PUNCT
cana-3826	167	1	then	then	ADV
cana-3826	167	2	,	,	PUNCT
cana-3826	167	3	𝔪φ	𝔪φ	PROPN
cana-3826	167	4	𝔮	𝔮	X
cana-3826	167	5	∈	∈	PROPN
cana-3826	167	6	(	(	PUNCT
cana-3826	167	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	167	8	)	)	PUNCT
cana-3826	167	9	⊆	⊆	NUM
cana-3826	167	10	(	(	PUNCT
cana-3826	167	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	167	12	)	)	PUNCT
cana-3826	167	13	.	.	PUNCT
cana-3826	168	1	thus	thus	ADV
cana-3826	168	2	(	(	PUNCT
cana-3826	168	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	168	4	)	)	PUNCT
cana-3826	168	5	is	be	AUX
cana-3826	168	6	a	a	DET
cana-3826	168	7	fhsθ	fhsθ	ADJ
cana-3826	168	8	(	(	PUNCT
cana-3826	168	9	resp	resp	NOUN
cana-3826	168	10	.	.	PUNCT
cana-3826	169	1	θ	θ	NOUN
cana-3826	169	2	semi	semi	ADV
cana-3826	169	3	&	&	CCONJ
cana-3826	169	4	θ	θ	PROPN
cana-3826	169	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	169	6	of	of	ADP
cana-3826	169	7	𝔪φ	𝔪φ	PROPN
cana-3826	169	8	𝔮	𝔮	PROPN
cana-3826	169	9	.	.	PUNCT
cana-3826	170	1	conversely	conversely	ADV
cana-3826	170	2	,	,	PUNCT
cana-3826	170	3	let	let	AUX
cana-3826	170	4	(	(	PUNCT
cana-3826	170	5	φ̃,∧	φ̃,∧	X
cana-3826	170	6	)	)	PUNCT
cana-3826	170	7	be	be	AUX
cana-3826	170	8	a	a	DET
cana-3826	170	9	fhsθ	fhsθ	ADJ
cana-3826	170	10	(	(	PUNCT
cana-3826	170	11	resp	resp	NOUN
cana-3826	170	12	.	.	PUNCT
cana-3826	171	1	θ	θ	NOUN
cana-3826	171	2	semi	semi	ADV
cana-3826	171	3	&	&	CCONJ
cana-3826	171	4	θ	θ	PROPN
cana-3826	171	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	171	6	of	of	ADP
cana-3826	171	7	its	its	PRON
cana-3826	171	8	fhsp	fhsp	NOUN
cana-3826	171	9	’s	’s	NOUN
cana-3826	171	10	.	.	PUNCT
cana-3826	172	1	let	let	VERB
cana-3826	172	2	𝔪φ	𝔪φ	NOUN
cana-3826	172	3	𝔮	𝔮	X
cana-3826	172	4	∈	∈	PROPN
cana-3826	172	5	(	(	PUNCT
cana-3826	172	6	φ̃,∧	φ̃,∧	NOUN
cana-3826	172	7	)	)	PUNCT
cana-3826	172	8	.	.	PUNCT
cana-3826	173	1	since	since	SCONJ
cana-3826	173	2	(	(	PUNCT
cana-3826	173	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	173	4	)	)	PUNCT
cana-3826	173	5	is	be	AUX
cana-3826	173	6	a	a	DET
cana-3826	173	7	fhsθ	fhsθ	ADJ
cana-3826	173	8	(	(	PUNCT
cana-3826	173	9	resp	resp	NOUN
cana-3826	173	10	.	.	PUNCT
cana-3826	174	1	θ	θ	NOUN
cana-3826	174	2	semi	semi	ADV
cana-3826	174	3	&	&	CCONJ
cana-3826	174	4	θ	θ	PROPN
cana-3826	174	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	174	6	of	of	ADP
cana-3826	174	7	the	the	DET
cana-3826	174	8	fhsp	fhsp	ADJ
cana-3826	174	9	𝔪φ	𝔪φ	PROPN
cana-3826	174	10	𝔮	𝔮	PROPN
cana-3826	174	11	,	,	PUNCT
cana-3826	174	12	there	there	PRON
cana-3826	174	13	exists	exist	VERB
cana-3826	174	14	(	(	PUNCT
cana-3826	174	15	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	174	16	)	)	PUNCT
cana-3826	174	17	∈	∈	PROPN
cana-3826	174	18	τ̃	τ̃	PROPN
cana-3826	174	19	such	such	ADJ
cana-3826	174	20	that	that	SCONJ
cana-3826	174	21	𝔪φ	𝔪φ	PROPN
cana-3826	174	22	𝔮	𝔮	SYM
cana-3826	174	23	∈	∈	PROPN
cana-3826	174	24	(	(	PUNCT
cana-3826	174	25	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	174	26	)	)	PUNCT
cana-3826	174	27	⊆	⊆	NUM
cana-3826	174	28	(	(	PUNCT
cana-3826	174	29	φ̃,∧	φ̃,∧	NOUN
cana-3826	174	30	)	)	PUNCT
cana-3826	174	31	.	.	PUNCT
cana-3826	175	1	since	since	SCONJ
cana-3826	175	2	(	(	PUNCT
cana-3826	175	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	175	4	)	)	PUNCT
cana-3826	175	5	=	=	SYM
cana-3826	175	6	⋃	⋃	NOUN
cana-3826	175	7	{	{	PUNCT
cana-3826	175	8	𝔪φ	𝔪φ	NOUN
cana-3826	175	9	𝔮	𝔮	PROPN
cana-3826	175	10	:	:	PUNCT
cana-3826	175	11	𝔪φ	𝔪φ	NOUN
cana-3826	175	12	𝔮	𝔮	X
cana-3826	175	13	∈	∈	PROPN
cana-3826	175	14	(	(	PUNCT
cana-3826	175	15	φ̃,∧	φ̃,∧	NOUN
cana-3826	175	16	)	)	PUNCT
cana-3826	175	17	}	}	PUNCT
cana-3826	175	18	,	,	PUNCT
cana-3826	175	19	it	it	PRON
cana-3826	175	20	follows	follow	VERB
cana-3826	175	21	that	that	SCONJ
cana-3826	175	22	(	(	PUNCT
cana-3826	175	23	φ̃,∧	φ̃,∧	NOUN
cana-3826	175	24	)	)	PUNCT
cana-3826	175	25	is	be	AUX
cana-3826	175	26	a	a	DET
cana-3826	175	27	union	union	NOUN
cana-3826	175	28	of	of	ADP
cana-3826	175	29	fhsθos	fhsθos	NOUN
cana-3826	175	30	(	(	PUNCT
cana-3826	175	31	resp	resp	NOUN
cana-3826	175	32	.	.	PUNCT
cana-3826	176	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	176	2	&	&	CCONJ
cana-3826	176	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	176	4	)	)	PUNCT
cana-3826	176	5	’s	’s	NOUN
cana-3826	176	6	.	.	PUNCT
cana-3826	177	1	then	then	ADV
cana-3826	177	2	(	(	PUNCT
cana-3826	177	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	177	4	)	)	PUNCT
cana-3826	177	5	is	be	AUX
cana-3826	177	6	a	a	DET
cana-3826	177	7	fhsθos	fhsθos	NOUN
cana-3826	177	8	(	(	PUNCT
cana-3826	177	9	resp	resp	NOUN
cana-3826	177	10	.	.	PUNCT
cana-3826	178	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	178	2	&	&	CCONJ
cana-3826	178	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	178	4	)	)	PUNCT
cana-3826	178	5	.	.	PUNCT
cana-3826	179	1	the	the	DET
cana-3826	179	2	fhsθ	fhsθ	ADJ
cana-3826	179	3	(	(	PUNCT
cana-3826	179	4	resp	resp	NOUN
cana-3826	179	5	.	.	PUNCT
cana-3826	180	1	θ	θ	NOUN
cana-3826	180	2	semi	semi	ADV
cana-3826	180	3	&	&	CCONJ
cana-3826	180	4	θ	θ	PROPN
cana-3826	180	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	180	6	system	system	NOUN
cana-3826	180	7	of	of	ADP
cana-3826	180	8	a	a	DET
cana-3826	180	9	fhsp	fhsp	ADJ
cana-3826	180	10	𝔪φ	𝔪φ	NOUN
cana-3826	180	11	𝔮	𝔮	PROPN
cana-3826	180	12	denoted	denote	VERB
cana-3826	180	13	by	by	ADP
cana-3826	180	14	⋃	⋃	PROPN
cana-3826	180	15	(	(	PUNCT
cana-3826	180	16	𝔪φ	𝔪φ	NOUN
cana-3826	180	17	𝔮	𝔮	PROPN
cana-3826	180	18	,	,	PUNCT
cana-3826	180	19	q	q	PROPN
cana-3826	180	20	)	)	PUNCT
cana-3826	180	21	,	,	PUNCT
cana-3826	180	22	is	be	AUX
cana-3826	180	23	the	the	DET
cana-3826	180	24	family	family	NOUN
cana-3826	180	25	of	of	ADP
cana-3826	180	26	all	all	DET
cana-3826	180	27	its	its	PRON
cana-3826	180	28	fhsθ	fhsθ	ADJ
cana-3826	180	29	(	(	PUNCT
cana-3826	180	30	resp	resp	NOUN
cana-3826	180	31	.	.	PUNCT
cana-3826	181	1	δ	δ	PROPN
cana-3826	181	2	semi	semi	NOUN
cana-3826	181	3	&	&	CCONJ
cana-3826	181	4	θ	θ	PROPN
cana-3826	181	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	181	6	’s	’s	NOUN
cana-3826	181	7	.	.	PUNCT
cana-3826	182	1	theorem	theorem	VERB
cana-3826	182	2	3.2	3.2	NUM
cana-3826	182	3	the	the	DET
cana-3826	182	4	fhysθ	fhysθ	ADJ
cana-3826	182	5	(	(	PUNCT
cana-3826	182	6	resp	resp	NOUN
cana-3826	182	7	.	.	PUNCT
cana-3826	183	1	θ	θ	NOUN
cana-3826	183	2	semi	semi	ADV
cana-3826	183	3	&	&	CCONJ
cana-3826	183	4	θ	θ	PROPN
cana-3826	183	5	pre)-nbd	pre)-nbd	PROPN
cana-3826	183	6	system	system	NOUN
cana-3826	183	7	⋃	⋃	PROPN
cana-3826	183	8	(	(	PUNCT
cana-3826	183	9	𝔪φ	𝔪φ	NOUN
cana-3826	183	10	𝔮	𝔮	PROPN
cana-3826	183	11	,	,	PUNCT
cana-3826	183	12	q	q	X
cana-3826	183	13	)	)	PUNCT
cana-3826	183	14	at	at	ADP
cana-3826	183	15	𝔪φ	𝔪φ	PROPN
cana-3826	183	16	𝔮	𝔮	PROPN
cana-3826	183	17	in	in	ADP
cana-3826	183	18	a	a	DET
cana-3826	183	19	fhsts	fhst	NOUN
cana-3826	183	20	(	(	PUNCT
cana-3826	183	21	𝔐	𝔐	NOUN
cana-3826	183	22	,	,	PUNCT
cana-3826	183	23	q	q	NOUN
cana-3826	183	24	,	,	PUNCT
cana-3826	183	25	τ̃	τ̃	PROPN
cana-3826	183	26	)	)	PUNCT
cana-3826	183	27	has	have	VERB
cana-3826	183	28	the	the	DET
cana-3826	183	29	following	follow	VERB
cana-3826	183	30	properties	property	NOUN
cana-3826	183	31	:	:	PUNCT
cana-3826	183	32	(	(	PUNCT
cana-3826	183	33	i	i	NOUN
cana-3826	183	34	)	)	PUNCT
cana-3826	183	35	.	.	PUNCT
cana-3826	184	1	if	if	SCONJ
cana-3826	184	2	(	(	PUNCT
cana-3826	184	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	184	4	)	)	PUNCT
cana-3826	184	5	∈	∈	PROPN
cana-3826	184	6	⋃	⋃	PROPN
cana-3826	184	7	(	(	PUNCT
cana-3826	184	8	𝔪φ	𝔪φ	NOUN
cana-3826	184	9	𝔮	𝔮	PROPN
cana-3826	184	10	,	,	PUNCT
cana-3826	184	11	q	q	PROPN
cana-3826	184	12	)	)	PUNCT
cana-3826	184	13	,	,	PUNCT
cana-3826	184	14	then	then	ADV
cana-3826	184	15	𝔪φ	𝔪φ	PROPN
cana-3826	184	16	𝔮	𝔮	PROPN
cana-3826	184	17	∈	∈	PROPN
cana-3826	184	18	(	(	PUNCT
cana-3826	184	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	184	20	)	)	PUNCT
cana-3826	184	21	.	.	PUNCT
cana-3826	185	1	(	(	PUNCT
cana-3826	185	2	ii	ii	NOUN
cana-3826	185	3	)	)	PUNCT
cana-3826	185	4	.	.	PUNCT
cana-3826	186	1	if	if	SCONJ
cana-3826	186	2	(	(	PUNCT
cana-3826	186	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	186	4	)	)	PUNCT
cana-3826	186	5	∈	∈	PROPN
cana-3826	186	6	⋃	⋃	PROPN
cana-3826	186	7	(	(	PUNCT
cana-3826	186	8	𝔪φ	𝔪φ	NOUN
cana-3826	186	9	𝔮	𝔮	PROPN
cana-3826	186	10	,	,	PUNCT
cana-3826	186	11	q	q	PROPN
cana-3826	186	12	)	)	PUNCT
cana-3826	186	13	and	and	CCONJ
cana-3826	186	14	(	(	PUNCT
cana-3826	186	15	φ̃,∧	φ̃,∧	NOUN
cana-3826	186	16	)	)	PUNCT
cana-3826	186	17	⊆	⊆	NUM
cana-3826	186	18	(	(	PUNCT
cana-3826	186	19	ω̃,∧	ω̃,∧	NOUN
cana-3826	186	20	)	)	PUNCT
cana-3826	186	21	,	,	PUNCT
cana-3826	186	22	then	then	ADV
cana-3826	186	23	(	(	PUNCT
cana-3826	186	24	ω̃,∧	ω̃,∧	NOUN
cana-3826	186	25	)	)	PUNCT
cana-3826	186	26	∈	∈	NOUN
cana-3826	186	27	⋃	⋃	PROPN
cana-3826	186	28	(	(	PUNCT
cana-3826	186	29	𝔪φ	𝔪φ	NOUN
cana-3826	186	30	𝔮	𝔮	PROPN
cana-3826	186	31	,	,	PUNCT
cana-3826	186	32	q	q	NOUN
cana-3826	186	33	)	)	PUNCT
cana-3826	186	34	.	.	PUNCT
cana-3826	187	1	(	(	PUNCT
cana-3826	187	2	iii	iii	NOUN
cana-3826	187	3	)	)	PUNCT
cana-3826	187	4	.	.	PUNCT
cana-3826	188	1	(	(	PUNCT
cana-3826	188	2	φ̃,∧	φ̃,∧	NOUN
cana-3826	188	3	)	)	PUNCT
cana-3826	188	4	and	and	CCONJ
cana-3826	188	5	(	(	PUNCT
cana-3826	188	6	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	188	7	)	)	PUNCT
cana-3826	188	8	∈	∈	PROPN
cana-3826	188	9	⋃	⋃	PROPN
cana-3826	188	10	(	(	PUNCT
cana-3826	188	11	𝔪φ	𝔪φ	NOUN
cana-3826	188	12	𝔮	𝔮	PROPN
cana-3826	188	13	,	,	PUNCT
cana-3826	188	14	q	q	PROPN
cana-3826	188	15	)	)	PUNCT
cana-3826	188	16	,	,	PUNCT
cana-3826	188	17	then	then	ADV
cana-3826	188	18	(	(	PUNCT
cana-3826	188	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	188	20	)	)	PUNCT
cana-3826	188	21	∩	∩	NOUN
cana-3826	188	22	(	(	PUNCT
cana-3826	188	23	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	188	24	)	)	PUNCT
cana-3826	188	25	∈	∈	PROPN
cana-3826	188	26	⋃	⋃	PROPN
cana-3826	188	27	(	(	PUNCT
cana-3826	188	28	𝔪φ	𝔪φ	NOUN
cana-3826	188	29	𝔮	𝔮	PROPN
cana-3826	188	30	,	,	PUNCT
cana-3826	188	31	q	q	NOUN
cana-3826	188	32	)	)	PUNCT
cana-3826	188	33	.	.	PUNCT
cana-3826	189	1	(	(	PUNCT
cana-3826	189	2	iv	iv	X
cana-3826	189	3	)	)	PUNCT
cana-3826	189	4	.	.	PUNCT
cana-3826	190	1	if	if	SCONJ
cana-3826	190	2	(	(	PUNCT
cana-3826	190	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	190	4	)	)	PUNCT
cana-3826	190	5	∈	∈	PROPN
cana-3826	190	6	⋃	⋃	PROPN
cana-3826	190	7	(	(	PUNCT
cana-3826	190	8	𝔪φ	𝔪φ	NOUN
cana-3826	190	9	𝔮	𝔮	PROPN
cana-3826	190	10	,	,	PUNCT
cana-3826	190	11	q	q	PROPN
cana-3826	190	12	)	)	PUNCT
cana-3826	190	13	,	,	PUNCT
cana-3826	190	14	then	then	ADV
cana-3826	190	15	there	there	PRON
cana-3826	190	16	exists	exist	VERB
cana-3826	190	17	a	a	DET
cana-3826	190	18	(	(	PUNCT
cana-3826	190	19	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	190	20	)	)	PUNCT
cana-3826	190	21	∈	∈	PROPN
cana-3826	190	22	⋃	⋃	PROPN
cana-3826	190	23	(	(	PUNCT
cana-3826	190	24	𝔪φ	𝔪φ	NOUN
cana-3826	190	25	𝔮	𝔮	PROPN
cana-3826	190	26	,	,	PUNCT
cana-3826	190	27	q	q	X
cana-3826	190	28	)	)	PUNCT
cana-3826	190	29	such	such	ADJ
cana-3826	190	30	that	that	SCONJ
cana-3826	190	31	(	(	PUNCT
cana-3826	190	32	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	190	33	)	)	PUNCT
cana-3826	190	34	∈	∈	PROPN
cana-3826	190	35	⋃	⋃	PROPN
cana-3826	190	36	(	(	PUNCT
cana-3826	190	37	𝔫φ′	𝔫φ′	PROPN
cana-3826	190	38	𝔮′	𝔮′	NUM
cana-3826	190	39	,	,	PUNCT
cana-3826	190	40	q	q	NOUN
cana-3826	190	41	)	)	PUNCT
cana-3826	190	42	for	for	ADP
cana-3826	190	43	each	each	DET
cana-3826	190	44	𝔫φ′	𝔫φ′	PROPN
cana-3826	190	45	𝔮′	𝔮′	NUM
cana-3826	190	46	∈	∈	PROPN
cana-3826	190	47	(	(	PUNCT
cana-3826	190	48	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	190	49	)	)	PUNCT
cana-3826	190	50	.	.	PUNCT
cana-3826	191	1	proof	proof	NOUN
cana-3826	191	2	.	.	PUNCT
cana-3826	192	1	the	the	DET
cana-3826	192	2	proofs	proof	NOUN
cana-3826	192	3	of	of	ADP
cana-3826	192	4	(	(	PUNCT
cana-3826	192	5	i	i	NOUN
cana-3826	192	6	)	)	PUNCT
cana-3826	192	7	,	,	PUNCT
cana-3826	192	8	(	(	PUNCT
cana-3826	192	9	ii	ii	NOUN
cana-3826	192	10	)	)	PUNCT
cana-3826	192	11	and	and	CCONJ
cana-3826	192	12	(	(	PUNCT
cana-3826	192	13	iii	iii	NOUN
cana-3826	192	14	)	)	PUNCT
cana-3826	192	15	directly	directly	ADV
cana-3826	192	16	follow	follow	VERB
cana-3826	192	17	from	from	ADP
cana-3826	192	18	the	the	DET
cana-3826	192	19	definition	definition	NOUN
cana-3826	192	20	3.4	3.4	NUM
cana-3826	192	21	.	.	PUNCT
cana-3826	193	1	(	(	PUNCT
cana-3826	193	2	iv	iv	X
cana-3826	193	3	)	)	PUNCT
cana-3826	193	4	suppose	suppose	VERB
cana-3826	193	5	(	(	PUNCT
cana-3826	193	6	φ̃,∧	φ̃,∧	NOUN
cana-3826	193	7	)	)	PUNCT
cana-3826	193	8	∈	∈	PROPN
cana-3826	193	9	⋃	⋃	PROPN
cana-3826	193	10	(	(	PUNCT
cana-3826	193	11	𝔪φ	𝔪φ	NOUN
cana-3826	193	12	𝔮	𝔮	PROPN
cana-3826	193	13	,	,	PUNCT
cana-3826	193	14	q	q	NOUN
cana-3826	193	15	)	)	PUNCT
cana-3826	193	16	.	.	PUNCT
cana-3826	194	1	then	then	ADV
cana-3826	194	2	there	there	PRON
cana-3826	194	3	exists	exist	VERB
cana-3826	194	4	a	a	DET
cana-3826	194	5	fhsθos	fhsθos	NOUN
cana-3826	194	6	(	(	PUNCT
cana-3826	194	7	resp	resp	NOUN
cana-3826	194	8	.	.	PUNCT
cana-3826	195	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	195	2	&	&	CCONJ
cana-3826	195	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	195	4	)	)	PUNCT
cana-3826	195	5	(	(	PUNCT
cana-3826	195	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	195	7	)	)	PUNCT
cana-3826	195	8	such	such	ADJ
cana-3826	195	9	that	that	SCONJ
cana-3826	195	10	𝔪φ	𝔪φ	PROPN
cana-3826	195	11	𝔮	𝔮	SYM
cana-3826	195	12	∈	∈	PROPN
cana-3826	195	13	(	(	PUNCT
cana-3826	195	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	195	15	)	)	PUNCT
cana-3826	195	16	⊆	⊆	NUM
cana-3826	195	17	(	(	PUNCT
cana-3826	195	18	φ̃,∧	φ̃,∧	NOUN
cana-3826	195	19	)	)	PUNCT
cana-3826	195	20	.	.	PUNCT
cana-3826	196	1	then	then	ADV
cana-3826	196	2	by	by	ADP
cana-3826	196	3	theorem	theorem	NOUN
cana-3826	196	4	3.1	3.1	NUM
cana-3826	196	5	,	,	PUNCT
cana-3826	196	6	(	(	PUNCT
cana-3826	196	7	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	196	8	)	)	PUNCT
cana-3826	196	9	∈	∈	PROPN
cana-3826	196	10	⋃	⋃	PROPN
cana-3826	196	11	(	(	PUNCT
cana-3826	196	12	𝔪φ	𝔪φ	NOUN
cana-3826	196	13	𝔮	𝔮	PROPN
cana-3826	196	14	,	,	PUNCT
cana-3826	196	15	q	q	NOUN
cana-3826	196	16	)	)	PUNCT
cana-3826	196	17	.	.	PUNCT
cana-3826	197	1	so	so	ADV
cana-3826	197	2	for	for	ADP
cana-3826	197	3	each	each	DET
cana-3826	197	4	𝔫φ′	𝔫φ′	PROPN
cana-3826	197	5	𝔮′	𝔮′	NUM
cana-3826	197	6	∈	∈	PROPN
cana-3826	197	7	(	(	PUNCT
cana-3826	197	8	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	197	9	)	)	PUNCT
cana-3826	197	10	,	,	PUNCT
cana-3826	197	11	(	(	PUNCT
cana-3826	197	12	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	197	13	)	)	PUNCT
cana-3826	197	14	∈	∈	PROPN
cana-3826	197	15	(	(	PUNCT
cana-3826	197	16	𝔫φ′	𝔫φ′	PROPN
cana-3826	197	17	𝔮′	𝔮′	NUM
cana-3826	197	18	,	,	PUNCT
cana-3826	197	19	q	q	NOUN
cana-3826	197	20	)	)	PUNCT
cana-3826	197	21	.	.	PUNCT
cana-3826	198	1	definition	definition	NOUN
cana-3826	198	2	3.5	3.5	NUM
cana-3826	198	3	let	let	NOUN
cana-3826	198	4	(	(	PUNCT
cana-3826	198	5	𝔐	𝔐	NOUN
cana-3826	198	6	,	,	PUNCT
cana-3826	198	7	q	q	NOUN
cana-3826	198	8	,	,	PUNCT
cana-3826	198	9	τ̃	τ̃	PROPN
cana-3826	198	10	)	)	PUNCT
cana-3826	198	11	be	be	VERB
cana-3826	198	12	fhsts	fhst	NOUN
cana-3826	198	13	over	over	ADP
cana-3826	198	14	𝔐.	𝔐.	PROPN
cana-3826	198	15	let	let	VERB
cana-3826	198	16	𝔪φ	𝔪φ	NOUN
cana-3826	198	17	𝔮	𝔮	PROPN
cana-3826	198	18	and	and	CCONJ
cana-3826	198	19	zφ′	zφ′	PROPN
cana-3826	198	20	𝔮′	𝔮′	NUM
cana-3826	198	21	be	be	AUX
cana-3826	198	22	distinct	distinct	ADJ
cana-3826	198	23	fhsp	fhsp	ADJ
cana-3826	198	24	’s	’s	ADV
cana-3826	198	25	.	.	PUNCT
cana-3826	199	1	if	if	SCONJ
cana-3826	199	2	there	there	PRON
cana-3826	199	3	exist	exist	VERB
cana-3826	199	4	fhsθos	fhsθos	NOUN
cana-3826	199	5	(	(	PUNCT
cana-3826	199	6	resp	resp	NOUN
cana-3826	199	7	.	.	PUNCT
cana-3826	200	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	200	2	&	&	CCONJ
cana-3826	200	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	200	4	)	)	PUNCT
cana-3826	200	5	’s	’s	PART
cana-3826	200	6	(	(	PUNCT
cana-3826	200	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	200	8	)	)	PUNCT
cana-3826	200	9	and	and	CCONJ
cana-3826	200	10	(	(	PUNCT
cana-3826	200	11	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	200	12	)	)	PUNCT
cana-3826	200	13	such	such	ADJ
cana-3826	200	14	that	that	SCONJ
cana-3826	200	15	𝔪φ	𝔪φ	PROPN
cana-3826	200	16	𝔮	𝔮	SYM
cana-3826	200	17	∈	∈	PROPN
cana-3826	200	18	(	(	PUNCT
cana-3826	200	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	200	20	)	)	PUNCT
cana-3826	200	21	and	and	CCONJ
cana-3826	200	22	𝔪φ	𝔪φ	NOUN
cana-3826	200	23	𝔮	𝔮	PROPN
cana-3826	200	24	∩	∩	NOUN
cana-3826	200	25	(	(	PUNCT
cana-3826	200	26	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	200	27	)	)	PUNCT
cana-3826	200	28	=	=	SYM
cana-3826	200	29	0(𝔐,q	0(𝔐,q	NUM
cana-3826	200	30	)	)	PUNCT
cana-3826	200	31	or	or	CCONJ
cana-3826	200	32	𝔫φ′	𝔫φ′	VERB
cana-3826	200	33	𝔮′	𝔮′	NUM
cana-3826	200	34	∈	∈	PROPN
cana-3826	200	35	(	(	PUNCT
cana-3826	200	36	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	200	37	)	)	PUNCT
cana-3826	200	38	and	and	CCONJ
cana-3826	200	39	𝔫φ′	𝔫φ′	VERB
cana-3826	200	40	𝔮′	𝔮′	NUM
cana-3826	200	41	∩	∩	NOUN
cana-3826	200	42	(	(	PUNCT
cana-3826	200	43	φ̃,∧	φ̃,∧	NOUN
cana-3826	200	44	)	)	PUNCT
cana-3826	200	45	=	=	SYM
cana-3826	200	46	0(𝔐,q	0(𝔐,q	NUM
cana-3826	200	47	)	)	PUNCT
cana-3826	200	48	,	,	PUNCT
cana-3826	200	49	then	then	ADV
cana-3826	200	50	(	(	PUNCT
cana-3826	200	51	𝔐	𝔐	INTJ
cana-3826	200	52	,	,	PUNCT
cana-3826	200	53	q	q	NOUN
cana-3826	200	54	,	,	PUNCT
cana-3826	200	55	τ̃	τ̃	PROPN
cana-3826	200	56	)	)	PUNCT
cana-3826	200	57	is	be	AUX
cana-3826	200	58	called	call	VERB
cana-3826	200	59	a	a	DET
cana-3826	200	60	fuzzy	fuzzy	ADJ
cana-3826	200	61	hypersoft	hypersoft	NOUN
cana-3826	200	62	θ	θ	PROPN
cana-3826	200	63	(	(	PUNCT
cana-3826	200	64	resp	resp	NOUN
cana-3826	200	65	.	.	PUNCT
cana-3826	201	1	θ	θ	NOUN
cana-3826	201	2	semi	semi	ADV
cana-3826	201	3	&	&	CCONJ
cana-3826	201	4	θ	θ	PROPN
cana-3826	201	5	pre)t0space	pre)t0space	NOUN
cana-3826	201	6	(	(	PUNCT
cana-3826	201	7	briefly	briefly	ADV
cana-3826	201	8	,	,	PUNCT
cana-3826	201	9	fhsθ	fhsθ	NOUN
cana-3826	201	10	(	(	PUNCT
cana-3826	201	11	resp	resp	NOUN
cana-3826	201	12	.	.	PUNCT
cana-3826	202	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	202	2	,	,	PUNCT
cana-3826	202	3	&	&	CCONJ
cana-3826	202	4	fhsθ𝒫)t0space	fhsθ𝒫)t0space	NOUN
cana-3826	202	5	)	)	PUNCT
cana-3826	202	6	.	.	PUNCT
cana-3826	203	1	definition	definition	NOUN
cana-3826	203	2	3.6	3.6	NUM
cana-3826	203	3	let	let	VERB
cana-3826	203	4	(	(	PUNCT
cana-3826	203	5	𝔐	𝔐	NOUN
cana-3826	203	6	,	,	PUNCT
cana-3826	203	7	q	q	NOUN
cana-3826	203	8	,	,	PUNCT
cana-3826	203	9	τ̃	τ̃	PROPN
cana-3826	203	10	)	)	PUNCT
cana-3826	203	11	be	be	VERB
cana-3826	203	12	fhsts	fhst	NOUN
cana-3826	203	13	over	over	ADP
cana-3826	203	14	𝔐.	𝔐.	PROPN
cana-3826	203	15	let	let	VERB
cana-3826	203	16	𝔪φ	𝔪φ	NOUN
cana-3826	203	17	𝔮	𝔮	PROPN
cana-3826	203	18	and	and	CCONJ
cana-3826	203	19	𝔫φ′	𝔫φ′	VERB
cana-3826	203	20	𝔮′	𝔮′	NUM
cana-3826	203	21	be	be	AUX
cana-3826	203	22	distinct	distinct	ADJ
cana-3826	203	23	fhsp	fhsp	ADJ
cana-3826	203	24	’s	’s	ADV
cana-3826	203	25	.	.	PUNCT
cana-3826	204	1	if	if	SCONJ
cana-3826	204	2	there	there	PRON
cana-3826	204	3	exist	exist	VERB
cana-3826	204	4	fhsθos	fhsθos	NOUN
cana-3826	204	5	(	(	PUNCT
cana-3826	204	6	resp	resp	NOUN
cana-3826	204	7	.	.	PUNCT
cana-3826	205	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	205	2	&	&	CCONJ
cana-3826	205	3	fhysθ𝒫os	fhysθ𝒫os	PROPN
cana-3826	205	4	)	)	PUNCT
cana-3826	205	5	’s	’s	PART
cana-3826	205	6	(	(	PUNCT
cana-3826	205	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	205	8	)	)	PUNCT
cana-3826	205	9	and	and	CCONJ
cana-3826	205	10	(	(	PUNCT
cana-3826	205	11	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	205	12	)	)	PUNCT
cana-3826	205	13	such	such	ADJ
cana-3826	205	14	that	that	SCONJ
cana-3826	205	15	𝔪φ	𝔪φ	PROPN
cana-3826	205	16	𝔮	𝔮	SYM
cana-3826	205	17	∈	∈	PROPN
cana-3826	205	18	(	(	PUNCT
cana-3826	205	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	205	20	)	)	PUNCT
cana-3826	205	21	,	,	PUNCT
cana-3826	205	22	𝔪φ	𝔪φ	NOUN
cana-3826	205	23	𝔮	𝔮	NUM
cana-3826	205	24	∩	∩	X
cana-3826	205	25	(	(	PUNCT
cana-3826	205	26	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	205	27	)	)	PUNCT
cana-3826	205	28	=	=	SYM
cana-3826	205	29	0(𝔐,q	0(𝔐,q	NUM
cana-3826	205	30	)	)	PUNCT
cana-3826	205	31	and	and	CCONJ
cana-3826	205	32	𝔫φ′	𝔫φ′	VERB
cana-3826	205	33	𝔮′	𝔮′	NUM
cana-3826	205	34	∈	∈	PROPN
cana-3826	205	35	(	(	PUNCT
cana-3826	205	36	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	205	37	)	)	PUNCT
cana-3826	205	38	,	,	PUNCT
cana-3826	205	39	𝔫φ′	𝔫φ′	VERB
cana-3826	205	40	𝔮′	𝔮′	NUM
cana-3826	205	41	∩	∩	NOUN
cana-3826	205	42	(	(	PUNCT
cana-3826	205	43	φ̃,∧	φ̃,∧	NOUN
cana-3826	205	44	)	)	PUNCT
cana-3826	205	45	=	=	SYM
cana-3826	205	46	0(𝔐,q	0(𝔐,q	NUM
cana-3826	205	47	)	)	PUNCT
cana-3826	205	48	,	,	PUNCT
cana-3826	205	49	then	then	ADV
cana-3826	205	50	(	(	PUNCT
cana-3826	205	51	𝔐	𝔐	INTJ
cana-3826	205	52	,	,	PUNCT
cana-3826	205	53	q	q	NOUN
cana-3826	205	54	,	,	PUNCT
cana-3826	205	55	τ̃	τ̃	PROPN
cana-3826	205	56	)	)	PUNCT
cana-3826	205	57	is	be	AUX
cana-3826	205	58	called	call	VERB
cana-3826	205	59	a	a	DET
cana-3826	205	60	fuzzy	fuzzy	ADJ
cana-3826	205	61	hypersoft	hypersoft	NOUN
cana-3826	205	62	θ	θ	PROPN
cana-3826	205	63	(	(	PUNCT
cana-3826	205	64	resp	resp	NOUN
cana-3826	205	65	.	.	PUNCT
cana-3826	206	1	θ	θ	NOUN
cana-3826	206	2	semi	semi	ADV
cana-3826	206	3	&	&	CCONJ
cana-3826	206	4	θ	θ	PROPN
cana-3826	206	5	pre)t1space	pre)t1space	NOUN
cana-3826	206	6	(	(	PUNCT
cana-3826	206	7	briefly	briefly	ADV
cana-3826	206	8	,	,	PUNCT
cana-3826	206	9	fhsθ	fhsθ	NOUN
cana-3826	206	10	(	(	PUNCT
cana-3826	206	11	resp	resp	NOUN
cana-3826	206	12	.	.	PUNCT
cana-3826	206	13	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	206	14	&	&	CCONJ
cana-3826	206	15	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	206	16	)	)	PUNCT
cana-3826	206	17	.	.	PUNCT
cana-3826	207	1	definition	definition	NOUN
cana-3826	207	2	3.7	3.7	NUM
cana-3826	207	3	let	let	VERB
cana-3826	207	4	(	(	PUNCT
cana-3826	207	5	𝔐	𝔐	NOUN
cana-3826	207	6	,	,	PUNCT
cana-3826	207	7	q	q	NOUN
cana-3826	207	8	,	,	PUNCT
cana-3826	207	9	τ̃	τ̃	PROPN
cana-3826	207	10	)	)	PUNCT
cana-3826	207	11	be	be	VERB
cana-3826	207	12	fhsts	fhst	NOUN
cana-3826	207	13	over	over	ADP
cana-3826	207	14	𝔐.	𝔐.	PROPN
cana-3826	207	15	let	let	VERB
cana-3826	207	16	𝔪φ	𝔪φ	NOUN
cana-3826	207	17	𝔮	𝔮	PROPN
cana-3826	207	18	and	and	CCONJ
cana-3826	207	19	𝔫φ′	𝔫φ′	VERB
cana-3826	207	20	𝔮′	𝔮′	NUM
cana-3826	207	21	be	be	AUX
cana-3826	207	22	distinct	distinct	ADJ
cana-3826	207	23	fhsp	fhsp	ADJ
cana-3826	207	24	’s	’s	ADV
cana-3826	207	25	.	.	PUNCT
cana-3826	208	1	if	if	SCONJ
cana-3826	208	2	there	there	PRON
cana-3826	208	3	exist	exist	VERB
cana-3826	208	4	fhsθos	fhsθos	NOUN
cana-3826	208	5	(	(	PUNCT
cana-3826	208	6	resp	resp	NOUN
cana-3826	208	7	.	.	PUNCT
cana-3826	209	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	209	2	&	&	CCONJ
cana-3826	209	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	209	4	)	)	PUNCT
cana-3826	209	5	’s	’s	PART
cana-3826	209	6	(	(	PUNCT
cana-3826	209	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	209	8	)	)	PUNCT
cana-3826	209	9	and	and	CCONJ
cana-3826	209	10	(	(	PUNCT
cana-3826	209	11	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	209	12	)	)	PUNCT
cana-3826	209	13	such	such	ADJ
cana-3826	209	14	that	that	SCONJ
cana-3826	209	15	𝔪φ	𝔪φ	PROPN
cana-3826	209	16	𝔮	𝔮	SYM
cana-3826	209	17	∈	∈	PROPN
cana-3826	209	18	(	(	PUNCT
cana-3826	209	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	209	20	)	)	PUNCT
cana-3826	209	21	,	,	PUNCT
cana-3826	209	22	𝔫φ′	𝔫φ′	VERB
cana-3826	209	23	𝔮′	𝔮′	NUM
cana-3826	209	24	∈	∈	PROPN
cana-3826	209	25	communications	communication	NOUN
cana-3826	209	26	on	on	ADP
cana-3826	209	27	applied	apply	VERB
cana-3826	209	28	nonlinear	nonlinear	ADJ
cana-3826	209	29	analysis	analysis	NOUN
cana-3826	209	30	issn	issn	NOUN
cana-3826	209	31	:	:	PUNCT
cana-3826	209	32	1074	1074	NUM
cana-3826	209	33	-	-	PUNCT
cana-3826	209	34	133x	133x	NUM
cana-3826	209	35	vol	vol	NOUN
cana-3826	209	36	32	32	NUM
cana-3826	209	37	no	no	NOUN
cana-3826	209	38	.	.	PUNCT
cana-3826	210	1	8s	8s	PROPN
cana-3826	210	2	(	(	PUNCT
cana-3826	210	3	2025	2025	NUM
cana-3826	210	4	)	)	PUNCT
cana-3826	210	5	841	841	NUM
cana-3826	210	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	210	7	(	(	PUNCT
cana-3826	210	8	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	210	9	)	)	PUNCT
cana-3826	210	10	and	and	CCONJ
cana-3826	210	11	(	(	PUNCT
cana-3826	210	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	210	13	)	)	PUNCT
cana-3826	210	14	∩	∩	NOUN
cana-3826	210	15	(	(	PUNCT
cana-3826	210	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	210	17	)	)	PUNCT
cana-3826	210	18	=	=	SYM
cana-3826	210	19	0(𝔐,q	0(𝔐,q	NUM
cana-3826	210	20	)	)	PUNCT
cana-3826	210	21	,	,	PUNCT
cana-3826	210	22	then	then	ADV
cana-3826	210	23	(	(	PUNCT
cana-3826	210	24	𝔐	𝔐	INTJ
cana-3826	210	25	,	,	PUNCT
cana-3826	210	26	q	q	NOUN
cana-3826	210	27	,	,	PUNCT
cana-3826	210	28	τ̃	τ̃	PROPN
cana-3826	210	29	)	)	PUNCT
cana-3826	210	30	is	be	AUX
cana-3826	210	31	called	call	VERB
cana-3826	210	32	a	a	DET
cana-3826	210	33	fuzzy	fuzzy	ADJ
cana-3826	210	34	hypersoft	hypersoft	NOUN
cana-3826	210	35	θ	θ	PROPN
cana-3826	210	36	(	(	PUNCT
cana-3826	210	37	resp	resp	NOUN
cana-3826	210	38	.	.	PUNCT
cana-3826	211	1	θ	θ	NOUN
cana-3826	211	2	semi	semi	ADV
cana-3826	211	3	&	&	CCONJ
cana-3826	211	4	θ	θ	PROPN
cana-3826	211	5	pre)t2space	pre)t2space	X
cana-3826	211	6	(	(	PUNCT
cana-3826	211	7	briefly	briefly	ADV
cana-3826	211	8	,	,	PUNCT
cana-3826	211	9	fhsθ	fhsθ	NOUN
cana-3826	211	10	(	(	PUNCT
cana-3826	211	11	resp	resp	NOUN
cana-3826	211	12	.	.	PUNCT
cana-3826	211	13	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	211	14	&	&	CCONJ
cana-3826	211	15	fhsθ𝒫)t2space	fhsθ𝒫)t2space	NUM
cana-3826	211	16	)	)	PUNCT
cana-3826	211	17	.	.	PUNCT
cana-3826	212	1	example	example	NOUN
cana-3826	212	2	3.1	3.1	NUM
cana-3826	212	3	let	let	VERB
cana-3826	212	4	𝔐	𝔐	PRON
cana-3826	212	5	=	=	PUNCT
cana-3826	212	6	{	{	PUNCT
cana-3826	212	7	𝔪1	𝔪1	PROPN
cana-3826	212	8	,	,	PUNCT
cana-3826	212	9	𝔪2	𝔪2	NOUN
cana-3826	212	10	}	}	PUNCT
cana-3826	212	11	be	be	VERB
cana-3826	212	12	the	the	DET
cana-3826	212	13	fhys	fhy	NOUN
cana-3826	212	14	initial	initial	ADJ
cana-3826	212	15	universe	universe	NOUN
cana-3826	212	16	and	and	CCONJ
cana-3826	212	17	the	the	DET
cana-3826	212	18	attribute	attribute	NOUN
cana-3826	212	19	be	be	VERB
cana-3826	212	20	q	q	NOUN
cana-3826	212	21	=	=	PUNCT
cana-3826	212	22	q1	q1	PROPN
cana-3826	212	23	×	×	PROPN
cana-3826	212	24	q2	q2	NOUN
cana-3826	212	25	.	.	PUNCT
cana-3826	213	1	the	the	DET
cana-3826	213	2	attribute	attribute	NOUN
cana-3826	213	3	is	be	AUX
cana-3826	213	4	given	give	VERB
cana-3826	213	5	as	as	ADP
cana-3826	213	6	:	:	PUNCT
cana-3826	213	7	q1	q1	PROPN
cana-3826	213	8	=	=	SYM
cana-3826	213	9	{	{	PUNCT
cana-3826	213	10	a1	a1	PROPN
cana-3826	213	11	,	,	PUNCT
cana-3826	213	12	a2	a2	PROPN
cana-3826	213	13	}	}	PUNCT
cana-3826	213	14	&	&	CCONJ
cana-3826	213	15	q2	q2	PROPN
cana-3826	213	16	=	=	SYM
cana-3826	213	17	{	{	PUNCT
cana-3826	213	18	b1	b1	NOUN
cana-3826	213	19	}	}	PUNCT
cana-3826	213	20	and	and	CCONJ
cana-3826	213	21	∧=	∧=	NOUN
cana-3826	213	22	{	{	PUNCT
cana-3826	213	23	𝔮1	𝔮1	NOUN
cana-3826	213	24	=	=	SYM
cana-3826	213	25	(	(	PUNCT
cana-3826	213	26	a1	a1	PROPN
cana-3826	213	27	,	,	PUNCT
cana-3826	213	28	b1	b1	NOUN
cana-3826	213	29	)	)	PUNCT
cana-3826	213	30	&	&	CCONJ
cana-3826	213	31	𝔮2	𝔮2	PROPN
cana-3826	213	32	=	=	SYM
cana-3826	213	33	(	(	PUNCT
cana-3826	213	34	a2	a2	PROPN
cana-3826	213	35	,	,	PUNCT
cana-3826	213	36	b1	b1	NOUN
cana-3826	213	37	)	)	PUNCT
cana-3826	213	38	}	}	PUNCT
cana-3826	213	39	.	.	PUNCT
cana-3826	214	1	let	let	VERB
cana-3826	214	2	𝔪1(0.8	𝔪1(0.8	NUM
cana-3826	214	3	)	)	PUNCT
cana-3826	214	4	𝔮1	𝔮1	PROPN
cana-3826	214	5	,	,	PUNCT
cana-3826	214	6	𝔪1(0.7	𝔪1(0.7	PROPN
cana-3826	214	7	)	)	PUNCT
cana-3826	214	8	𝔮2	𝔮2	PROPN
cana-3826	214	9	,	,	PUNCT
cana-3826	214	10	𝔪2(0.9	𝔪2(0.9	NOUN
cana-3826	214	11	)	)	PUNCT
cana-3826	214	12	𝔮1	𝔮1	PROPN
cana-3826	214	13	and	and	CCONJ
cana-3826	214	14	𝔪2(0.5	𝔪2(0.5	NOUN
cana-3826	214	15	)	)	PUNCT
cana-3826	214	16	𝔮2	𝔮2	VERB
cana-3826	214	17	be	be	AUX
cana-3826	214	18	fhsp	fhsp	VERB
cana-3826	214	19	’s	’s	ADV
cana-3826	214	20	.	.	PUNCT
cana-3826	215	1	let	let	VERB
cana-3826	215	2	(	(	PUNCT
cana-3826	215	3	𝔐	𝔐	NOUN
cana-3826	215	4	,	,	PUNCT
cana-3826	215	5	q	q	X
cana-3826	215	6	)	)	PUNCT
cana-3826	215	7	be	be	AUX
cana-3826	215	8	the	the	DET
cana-3826	215	9	class	class	NOUN
cana-3826	215	10	of	of	ADP
cana-3826	215	11	fhys	fhy	NOUN
cana-3826	215	12	sets	set	NOUN
cana-3826	215	13	.	.	PUNCT
cana-3826	216	1	let	let	VERB
cana-3826	216	2	the	the	DET
cana-3826	216	3	fhyss	fhyss	NOUN
cana-3826	216	4	’s	’s	PART
cana-3826	216	5	(	(	PUNCT
cana-3826	216	6	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	216	7	)	)	PUNCT
cana-3826	216	8	,	,	PUNCT
cana-3826	216	9	(	(	PUNCT
cana-3826	216	10	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	216	11	)	)	PUNCT
cana-3826	216	12	,	,	PUNCT
cana-3826	216	13	(	(	PUNCT
cana-3826	216	14	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	216	15	)	)	PUNCT
cana-3826	216	16	,	,	PUNCT
cana-3826	216	17	(	(	PUNCT
cana-3826	216	18	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	216	19	)	)	PUNCT
cana-3826	216	20	,	,	PUNCT
cana-3826	216	21	(	(	PUNCT
cana-3826	216	22	φ̃5,∧	φ̃5,∧	X
cana-3826	216	23	)	)	PUNCT
cana-3826	216	24	over	over	ADP
cana-3826	216	25	the	the	DET
cana-3826	216	26	universe	universe	NOUN
cana-3826	216	27	𝔐	𝔐	PRON
cana-3826	216	28	be	be	AUX
cana-3826	216	29	(	(	PUNCT
cana-3826	216	30	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	216	31	)	)	PUNCT
cana-3826	217	1	=	=	PRON
cana-3826	217	2	{	{	PUNCT
cana-3826	217	3	〈	〈	PROPN
cana-3826	217	4	(	(	PUNCT
cana-3826	217	5	a1	a1	NOUN
cana-3826	217	6	,	,	PUNCT
cana-3826	217	7	b1	b1	NOUN
cana-3826	217	8	)	)	PUNCT
cana-3826	217	9	,	,	PUNCT
cana-3826	217	10	{	{	PUNCT
cana-3826	217	11	𝔪1	𝔪1	PROPN
cana-3826	217	12	0.8	0.8	NUM
cana-3826	217	13	,	,	PUNCT
cana-3826	217	14	𝔪2	𝔪2	NOUN
cana-3826	217	15	0	0	NUM
cana-3826	217	16	}	}	PUNCT
cana-3826	217	17	〉	〉	NOUN
cana-3826	217	18	,	,	PUNCT
cana-3826	217	19	〈	〈	PROPN
cana-3826	217	20	(	(	PUNCT
cana-3826	217	21	a2	a2	PROPN
cana-3826	217	22	,	,	PUNCT
cana-3826	217	23	b1	b1	NOUN
cana-3826	217	24	)	)	PUNCT
cana-3826	217	25	,	,	PUNCT
cana-3826	217	26	{	{	PUNCT
cana-3826	217	27	𝔪1	𝔪1	PROPN
cana-3826	217	28	0	0	NUM
cana-3826	217	29	,	,	PUNCT
cana-3826	217	30	𝔪2	𝔪2	NOUN
cana-3826	217	31	0	0	NUM
cana-3826	217	32	}	}	PUNCT
cana-3826	217	33	〉	〉	NOUN
cana-3826	217	34	}	}	PUNCT
cana-3826	217	35	(	(	PUNCT
cana-3826	217	36	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	217	37	)	)	PUNCT
cana-3826	217	38	=	=	PRON
cana-3826	217	39	{	{	PUNCT
cana-3826	217	40	〈	〈	PROPN
cana-3826	217	41	(	(	PUNCT
cana-3826	217	42	a1	a1	NOUN
cana-3826	217	43	,	,	PUNCT
cana-3826	217	44	b1	b1	NOUN
cana-3826	217	45	)	)	PUNCT
cana-3826	217	46	,	,	PUNCT
cana-3826	217	47	{	{	PUNCT
cana-3826	217	48	𝔪1	𝔪1	PROPN
cana-3826	217	49	0.2	0.2	NUM
cana-3826	217	50	,	,	PUNCT
cana-3826	217	51	𝔪2	𝔪2	NOUN
cana-3826	217	52	0	0	NUM
cana-3826	217	53	}	}	PUNCT
cana-3826	217	54	〉	〉	NOUN
cana-3826	217	55	,	,	PUNCT
cana-3826	217	56	〈	〈	PROPN
cana-3826	217	57	(	(	PUNCT
cana-3826	217	58	a2	a2	PROPN
cana-3826	217	59	,	,	PUNCT
cana-3826	217	60	b1	b1	NOUN
cana-3826	217	61	)	)	PUNCT
cana-3826	217	62	,	,	PUNCT
cana-3826	217	63	{	{	PUNCT
cana-3826	217	64	𝔪1	𝔪1	PROPN
cana-3826	217	65	0	0	NUM
cana-3826	217	66	,	,	PUNCT
cana-3826	217	67	𝔪2	𝔪2	NOUN
cana-3826	217	68	0	0	NUM
cana-3826	217	69	}	}	PUNCT
cana-3826	217	70	〉	〉	NOUN
cana-3826	217	71	}	}	PUNCT
cana-3826	217	72	(	(	PUNCT
cana-3826	217	73	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	217	74	)	)	PUNCT
cana-3826	217	75	=	=	PRON
cana-3826	217	76	{	{	PUNCT
cana-3826	217	77	〈	〈	PROPN
cana-3826	217	78	(	(	PUNCT
cana-3826	217	79	a1	a1	NOUN
cana-3826	217	80	,	,	PUNCT
cana-3826	217	81	b1	b1	NOUN
cana-3826	217	82	)	)	PUNCT
cana-3826	217	83	,	,	PUNCT
cana-3826	217	84	{	{	PUNCT
cana-3826	217	85	𝔪1	𝔪1	PROPN
cana-3826	217	86	0.8	0.8	NUM
cana-3826	217	87	,	,	PUNCT
cana-3826	217	88	𝔪2	𝔪2	NOUN
cana-3826	217	89	0.9	0.9	NUM
cana-3826	217	90	}	}	PUNCT
cana-3826	217	91	〉	〉	NOUN
cana-3826	217	92	,	,	PUNCT
cana-3826	217	93	〈	〈	PROPN
cana-3826	217	94	(	(	PUNCT
cana-3826	217	95	a2	a2	PROPN
cana-3826	217	96	,	,	PUNCT
cana-3826	217	97	b1	b1	NOUN
cana-3826	217	98	)	)	PUNCT
cana-3826	217	99	,	,	PUNCT
cana-3826	217	100	{	{	PUNCT
cana-3826	217	101	𝔪1	𝔪1	PROPN
cana-3826	217	102	0.7	0.7	NUM
cana-3826	217	103	,	,	PUNCT
cana-3826	217	104	𝔪2	𝔪2	NOUN
cana-3826	217	105	0.5	0.5	NUM
cana-3826	217	106	}	}	PUNCT
cana-3826	217	107	〉	〉	NOUN
cana-3826	217	108	}	}	PUNCT
cana-3826	217	109	(	(	PUNCT
cana-3826	217	110	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	217	111	)	)	PUNCT
cana-3826	217	112	=	=	PRON
cana-3826	217	113	{	{	PUNCT
cana-3826	217	114	〈	〈	PROPN
cana-3826	217	115	(	(	PUNCT
cana-3826	217	116	a1	a1	NOUN
cana-3826	217	117	,	,	PUNCT
cana-3826	217	118	b1	b1	NOUN
cana-3826	217	119	)	)	PUNCT
cana-3826	217	120	,	,	PUNCT
cana-3826	217	121	{	{	PUNCT
cana-3826	217	122	𝔪1	𝔪1	PROPN
cana-3826	217	123	0.2	0.2	NUM
cana-3826	217	124	,	,	PUNCT
cana-3826	217	125	𝔪2	𝔪2	NOUN
cana-3826	217	126	0.1	0.1	NUM
cana-3826	217	127	}	}	PUNCT
cana-3826	217	128	〉	〉	NOUN
cana-3826	217	129	,	,	PUNCT
cana-3826	217	130	〈	〈	PROPN
cana-3826	217	131	(	(	PUNCT
cana-3826	217	132	a2	a2	PROPN
cana-3826	217	133	,	,	PUNCT
cana-3826	217	134	b1	b1	NOUN
cana-3826	217	135	)	)	PUNCT
cana-3826	217	136	,	,	PUNCT
cana-3826	217	137	{	{	PUNCT
cana-3826	217	138	𝔪1	𝔪1	PROPN
cana-3826	217	139	0.3	0.3	NUM
cana-3826	217	140	,	,	PUNCT
cana-3826	217	141	𝔪2	𝔪2	PROPN
cana-3826	217	142	0.5	0.5	NUM
cana-3826	217	143	}	}	PUNCT
cana-3826	217	144	〉	〉	NOUN
cana-3826	217	145	}	}	PUNCT
cana-3826	217	146	(	(	PUNCT
cana-3826	217	147	φ̃5,∧	φ̃5,∧	X
cana-3826	217	148	)	)	PUNCT
cana-3826	217	149	=	=	PRON
cana-3826	217	150	{	{	PUNCT
cana-3826	217	151	〈	〈	PROPN
cana-3826	217	152	(	(	PUNCT
cana-3826	217	153	a1	a1	NOUN
cana-3826	217	154	,	,	PUNCT
cana-3826	217	155	b1	b1	NOUN
cana-3826	217	156	)	)	PUNCT
cana-3826	217	157	,	,	PUNCT
cana-3826	217	158	{	{	PUNCT
cana-3826	217	159	𝔪1	𝔪1	PROPN
cana-3826	217	160	0.8	0.8	NUM
cana-3826	217	161	,	,	PUNCT
cana-3826	217	162	𝔪2	𝔪2	NOUN
cana-3826	217	163	0.1	0.1	NUM
cana-3826	217	164	}	}	PUNCT
cana-3826	217	165	〉	〉	NOUN
cana-3826	217	166	,	,	PUNCT
cana-3826	217	167	〈	〈	PROPN
cana-3826	217	168	(	(	PUNCT
cana-3826	217	169	a2	a2	PROPN
cana-3826	217	170	,	,	PUNCT
cana-3826	217	171	b1	b1	NOUN
cana-3826	217	172	)	)	PUNCT
cana-3826	217	173	,	,	PUNCT
cana-3826	217	174	{	{	PUNCT
cana-3826	217	175	𝔪1	𝔪1	PROPN
cana-3826	217	176	0.3	0.3	NUM
cana-3826	217	177	,	,	PUNCT
cana-3826	217	178	𝔪2	𝔪2	PROPN
cana-3826	217	179	0.5	0.5	NUM
cana-3826	217	180	}	}	PUNCT
cana-3826	217	181	〉	〉	NOUN
cana-3826	217	182	}	}	PUNCT
cana-3826	217	183	τ̃	τ̃	PROPN
cana-3826	218	1	=	=	SYM
cana-3826	218	2	{	{	PUNCT
cana-3826	218	3	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	218	4	)	)	PUNCT
cana-3826	218	5	,	,	PUNCT
cana-3826	218	6	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	218	7	)	)	PUNCT
cana-3826	218	8	,	,	PUNCT
cana-3826	218	9	(	(	PUNCT
cana-3826	218	10	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	218	11	)	)	PUNCT
cana-3826	218	12	,	,	PUNCT
cana-3826	218	13	(	(	PUNCT
cana-3826	218	14	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	218	15	)	)	PUNCT
cana-3826	218	16	,	,	PUNCT
cana-3826	218	17	(	(	PUNCT
cana-3826	218	18	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	218	19	)	)	PUNCT
cana-3826	218	20	,	,	PUNCT
cana-3826	218	21	(	(	PUNCT
cana-3826	218	22	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	218	23	)	)	PUNCT
cana-3826	218	24	,	,	PUNCT
cana-3826	218	25	(	(	PUNCT
cana-3826	218	26	φ̃5,∧	φ̃5,∧	X
cana-3826	218	27	)	)	PUNCT
cana-3826	218	28	}	}	PUNCT
cana-3826	218	29	is	be	AUX
cana-3826	218	30	fhysts	fhyst	NOUN
cana-3826	218	31	.	.	PUNCT
cana-3826	219	1	hence	hence	ADV
cana-3826	219	2	,	,	PUNCT
cana-3826	219	3	(	(	PUNCT
cana-3826	219	4	𝔐	𝔐	INTJ
cana-3826	219	5	,	,	PUNCT
cana-3826	219	6	q	q	NOUN
cana-3826	219	7	,	,	PUNCT
cana-3826	219	8	τ̃	τ̃	PROPN
cana-3826	219	9	)	)	PUNCT
cana-3826	219	10	is	be	AUX
cana-3826	219	11	a	a	DET
cana-3826	219	12	fhsts	fhst	NOUN
cana-3826	219	13	over	over	ADP
cana-3826	219	14	𝔐.	𝔐.	PROPN
cana-3826	219	15	here	here	ADV
cana-3826	219	16	,	,	PUNCT
cana-3826	219	17	(	(	PUNCT
cana-3826	219	18	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	219	19	)	)	PUNCT
cana-3826	219	20	and	and	CCONJ
cana-3826	219	21	(	(	PUNCT
cana-3826	219	22	φ̃4,∧	φ̃4,∧	X
cana-3826	219	23	)	)	PUNCT
cana-3826	219	24	are	be	AUX
cana-3826	219	25	fhs	fhs	ADJ
cana-3826	219	26	θos	θos	PROPN
cana-3826	219	27	’s	’s	PART
cana-3826	219	28	.	.	PUNCT
cana-3826	220	1	also	also	ADV
cana-3826	220	2	,	,	PUNCT
cana-3826	220	3	(	(	PUNCT
cana-3826	220	4	𝔐	𝔐	INTJ
cana-3826	220	5	,	,	PUNCT
cana-3826	220	6	q	q	NOUN
cana-3826	220	7	,	,	PUNCT
cana-3826	220	8	τ̃	τ̃	PROPN
cana-3826	220	9	)	)	PUNCT
cana-3826	220	10	is	be	AUX
cana-3826	220	11	a	a	DET
cana-3826	220	12	fhsθt0space	fhsθt0space	NOUN
cana-3826	220	13	but	but	CCONJ
cana-3826	220	14	not	not	PART
cana-3826	220	15	a	a	DET
cana-3826	220	16	fhsθt1space	fhsθt1space	NOUN
cana-3826	220	17	because	because	SCONJ
cana-3826	220	18	for	for	ADP
cana-3826	220	19	fhysp	fhysp	PROPN
cana-3826	220	20	’s	’s	PART
cana-3826	220	21	𝔪1(0.8	𝔪1(0.8	PROPN
cana-3826	220	22	)	)	PUNCT
cana-3826	220	23	𝔮1	𝔮1	NOUN
cana-3826	220	24	and	and	CCONJ
cana-3826	220	25	𝔪2(0.5	𝔪2(0.5	NOUN
cana-3826	220	26	)	)	PUNCT
cana-3826	220	27	𝔮2	𝔮2	PROPN
cana-3826	220	28	,	,	PUNCT
cana-3826	220	29	(	(	PUNCT
cana-3826	220	30	𝔐	𝔐	INTJ
cana-3826	220	31	,	,	PUNCT
cana-3826	220	32	q	q	NOUN
cana-3826	220	33	,	,	PUNCT
cana-3826	220	34	τ̃	τ̃	PROPN
cana-3826	220	35	)	)	PUNCT
cana-3826	220	36	is	be	AUX
cana-3826	220	37	not	not	PART
cana-3826	220	38	a	a	DET
cana-3826	220	39	fhsθ	fhsθ	ADJ
cana-3826	220	40	t1space	t1space	PROPN
cana-3826	220	41	.	.	PUNCT
cana-3826	220	42	example	example	NOUN
cana-3826	220	43	3.2	3.2	NUM
cana-3826	220	44	consider	consider	VERB
cana-3826	220	45	a	a	DET
cana-3826	220	46	set	set	NOUN
cana-3826	220	47	of	of	ADP
cana-3826	220	48	natural	natural	ADJ
cana-3826	220	49	numbers	number	NOUN
cana-3826	220	50	𝔐	𝔐	NOUN
cana-3826	220	51	=	=	SYM
cana-3826	220	52	n	n	PROPN
cana-3826	220	53	and	and	CCONJ
cana-3826	220	54	a	a	DET
cana-3826	220	55	parameter	parameter	NOUN
cana-3826	220	56	set	set	VERB
cana-3826	220	57	q	q	PROPN
cana-3826	220	58	=	=	PUNCT
cana-3826	220	59	{	{	PUNCT
cana-3826	220	60	∧	∧	PROPN
cana-3826	220	61	}	}	PUNCT
cana-3826	220	62	.	.	PUNCT
cana-3826	221	1	let	let	VERB
cana-3826	221	2	the	the	DET
cana-3826	221	3	fhsp	fhsp	NOUN
cana-3826	221	4	’s	’s	PART
cana-3826	221	5	be	be	AUX
cana-3826	221	6	nφn	nφn	NOUN
cana-3826	221	7	𝔮	𝔮	PROPN
cana-3826	221	8	.	.	PUNCT
cana-3826	222	1	now	now	ADV
cana-3826	222	2	we	we	PRON
cana-3826	222	3	can	can	AUX
cana-3826	222	4	take	take	VERB
cana-3826	222	5	φn	φn	ADV
cana-3826	222	6	appropriate	appropriate	ADJ
cana-3826	222	7	values	value	NOUN
cana-3826	222	8	and	and	CCONJ
cana-3826	222	9	the	the	DET
cana-3826	222	10	fhsp	fhsp	PROPN
cana-3826	222	11	’s	’s	PROPN
cana-3826	222	12	nφn	nφn	PROPN
cana-3826	222	13	𝔮	𝔮	PROPN
cana-3826	222	14	,	,	PUNCT
cana-3826	222	15	mφm	mφm	PROPN
cana-3826	222	16	𝔮	𝔮	NOUN
cana-3826	222	17	are	be	AUX
cana-3826	222	18	distinct	distinct	ADJ
cana-3826	222	19	fhsp	fhsp	ADJ
cana-3826	222	20	’s	’s	PART
cana-3826	222	21	iff	iff	PROPN
cana-3826	222	22	n	n	CCONJ
cana-3826	222	23	≠	≠	PROPN
cana-3826	222	24	m.	m.	NOUN
cana-3826	222	25	it	it	PRON
cana-3826	222	26	is	be	AUX
cana-3826	222	27	obvious	obvious	ADJ
cana-3826	222	28	that	that	SCONJ
cana-3826	222	29	there	there	PRON
cana-3826	222	30	is	be	VERB
cana-3826	222	31	one	one	NUM
cana-3826	222	32	-	-	PUNCT
cana-3826	222	33	to	to	ADP
cana-3826	222	34	-	-	PUNCT
cana-3826	222	35	one	one	NUM
cana-3826	222	36	compatibility	compatibility	NOUN
cana-3826	222	37	between	between	ADP
cana-3826	222	38	the	the	DET
cana-3826	222	39	set	set	NOUN
cana-3826	222	40	of	of	ADP
cana-3826	222	41	natural	natural	ADJ
cana-3826	222	42	numbers	number	NOUN
cana-3826	222	43	and	and	CCONJ
cana-3826	222	44	the	the	DET
cana-3826	222	45	set	set	NOUN
cana-3826	222	46	of	of	ADP
cana-3826	222	47	fhsp	fhsp	PROPN
cana-3826	222	48	’s	’s	PART
cana-3826	222	49	n𝔮	n𝔮	NOUN
cana-3826	222	50	=	=	SYM
cana-3826	222	51	{	{	PUNCT
cana-3826	222	52	nφn	nφn	NOUN
cana-3826	222	53	𝔮	𝔮	PROPN
cana-3826	222	54	}	}	PUNCT
cana-3826	222	55	.	.	PUNCT
cana-3826	223	1	here	here	ADV
cana-3826	223	2	we	we	PRON
cana-3826	223	3	define	define	VERB
cana-3826	223	4	cofinite	cofinite	NOUN
cana-3826	223	5	topology	topology	NOUN
cana-3826	223	6	on	on	ADP
cana-3826	223	7	this	this	DET
cana-3826	223	8	set	set	NOUN
cana-3826	223	9	.	.	PUNCT
cana-3826	224	1	then	then	ADV
cana-3826	224	2	fhss	fhss	PROPN
cana-3826	224	3	’s	’s	PART
cana-3826	224	4	(	(	PUNCT
cana-3826	224	5	φ̃,∧	φ̃,∧	NOUN
cana-3826	224	6	)	)	PUNCT
cana-3826	224	7	is	be	AUX
cana-3826	224	8	a	a	DET
cana-3826	224	9	fhsθos	fhsθos	NOUN
cana-3826	224	10	iff	iff	PROPN
cana-3826	224	11	the	the	DET
cana-3826	224	12	finite	finite	PROPN
cana-3826	224	13	fhsp	fhsp	PROPN
cana-3826	224	14	’s	’s	PART
cana-3826	224	15	are	be	AUX
cana-3826	224	16	discarded	discard	VERB
cana-3826	224	17	from	from	ADP
cana-3826	224	18	n𝔮.	n𝔮.	NOUN
cana-3826	224	19	hence	hence	ADV
cana-3826	224	20	,	,	PUNCT
cana-3826	224	21	(	(	PUNCT
cana-3826	224	22	𝔐	𝔐	INTJ
cana-3826	224	23	,	,	PUNCT
cana-3826	224	24	q	q	NOUN
cana-3826	224	25	,	,	PUNCT
cana-3826	224	26	τ̃	τ̃	PROPN
cana-3826	224	27	)	)	PUNCT
cana-3826	224	28	is	be	AUX
cana-3826	224	29	a	a	DET
cana-3826	224	30	fhsθt1space	fhsθt1space	NOUN
cana-3826	224	31	but	but	CCONJ
cana-3826	224	32	not	not	PART
cana-3826	224	33	a	a	DET
cana-3826	224	34	fhsθt2space	fhsθt2space	NOUN
cana-3826	224	35	.	.	PUNCT
cana-3826	224	36	example	example	NOUN
cana-3826	224	37	3.3	3.3	NUM
cana-3826	224	38	let	let	VERB
cana-3826	224	39	𝔐	𝔐	PRON
cana-3826	224	40	=	=	PUNCT
cana-3826	224	41	{	{	PUNCT
cana-3826	224	42	𝔪1	𝔪1	PROPN
cana-3826	224	43	,	,	PUNCT
cana-3826	224	44	𝔪2	𝔪2	NOUN
cana-3826	224	45	}	}	PUNCT
cana-3826	224	46	be	be	VERB
cana-3826	224	47	the	the	DET
cana-3826	224	48	fhys	fhy	NOUN
cana-3826	224	49	initial	initial	ADJ
cana-3826	224	50	universe	universe	NOUN
cana-3826	224	51	and	and	CCONJ
cana-3826	224	52	the	the	DET
cana-3826	224	53	attribute	attribute	NOUN
cana-3826	224	54	be	be	VERB
cana-3826	224	55	q	q	NOUN
cana-3826	224	56	=	=	PUNCT
cana-3826	224	57	q1	q1	PROPN
cana-3826	224	58	×	×	PROPN
cana-3826	224	59	q2	q2	NOUN
cana-3826	224	60	.	.	PUNCT
cana-3826	225	1	the	the	DET
cana-3826	225	2	attribute	attribute	NOUN
cana-3826	225	3	is	be	AUX
cana-3826	225	4	given	give	VERB
cana-3826	225	5	as	as	ADP
cana-3826	225	6	:	:	PUNCT
cana-3826	225	7	q1	q1	PROPN
cana-3826	225	8	=	=	SYM
cana-3826	225	9	{	{	PUNCT
cana-3826	225	10	a1	a1	PROPN
cana-3826	225	11	,	,	PUNCT
cana-3826	225	12	a2	a2	PROPN
cana-3826	225	13	}	}	PUNCT
cana-3826	225	14	&	&	CCONJ
cana-3826	225	15	q2	q2	PROPN
cana-3826	225	16	=	=	SYM
cana-3826	225	17	{	{	PUNCT
cana-3826	225	18	b1	b1	NOUN
cana-3826	225	19	}	}	PUNCT
cana-3826	225	20	and	and	CCONJ
cana-3826	225	21	∧=	∧=	NOUN
cana-3826	225	22	{	{	PUNCT
cana-3826	225	23	𝔮1	𝔮1	NOUN
cana-3826	225	24	=	=	SYM
cana-3826	225	25	(	(	PUNCT
cana-3826	225	26	a1	a1	PROPN
cana-3826	225	27	,	,	PUNCT
cana-3826	225	28	b1	b1	NOUN
cana-3826	225	29	)	)	PUNCT
cana-3826	225	30	&	&	CCONJ
cana-3826	225	31	𝔮2	𝔮2	PROPN
cana-3826	225	32	=	=	SYM
cana-3826	225	33	(	(	PUNCT
cana-3826	225	34	a2	a2	PROPN
cana-3826	225	35	,	,	PUNCT
cana-3826	225	36	b1	b1	NOUN
cana-3826	225	37	)	)	PUNCT
cana-3826	225	38	}	}	PUNCT
cana-3826	225	39	.	.	PUNCT
cana-3826	226	1	communications	communication	NOUN
cana-3826	226	2	on	on	ADP
cana-3826	226	3	applied	apply	VERB
cana-3826	226	4	nonlinear	nonlinear	ADJ
cana-3826	226	5	analysis	analysis	NOUN
cana-3826	226	6	issn	issn	NOUN
cana-3826	226	7	:	:	PUNCT
cana-3826	226	8	1074	1074	NUM
cana-3826	226	9	-	-	PUNCT
cana-3826	226	10	133x	133x	NUM
cana-3826	226	11	vol	vol	NOUN
cana-3826	226	12	32	32	NUM
cana-3826	226	13	no	no	NOUN
cana-3826	226	14	.	.	PUNCT
cana-3826	227	1	8s	8s	PROPN
cana-3826	227	2	(	(	PUNCT
cana-3826	227	3	2025	2025	NUM
cana-3826	227	4	)	)	PUNCT
cana-3826	227	5	842	842	NUM
cana-3826	227	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	227	7	let	let	VERB
cana-3826	227	8	𝔪1(0.8	𝔪1(0.8	NUM
cana-3826	227	9	)	)	PUNCT
cana-3826	227	10	𝔮1	𝔮1	NOUN
cana-3826	227	11	,	,	PUNCT
cana-3826	227	12	𝔪1(0.3	𝔪1(0.3	PROPN
cana-3826	227	13	)	)	PUNCT
cana-3826	227	14	𝔮2	𝔮2	VERB
cana-3826	227	15	,	,	PUNCT
cana-3826	227	16	𝔪2(0.9	𝔪2(0.9	NOUN
cana-3826	227	17	)	)	PUNCT
cana-3826	227	18	𝔮1	𝔮1	NOUN
cana-3826	227	19	and	and	CCONJ
cana-3826	227	20	𝔪2(0.4	𝔪2(0.4	NUM
cana-3826	227	21	)	)	PUNCT
cana-3826	228	1	𝔮2	𝔮2	VERB
cana-3826	228	2	be	be	AUX
cana-3826	228	3	fhsp	fhsp	VERB
cana-3826	228	4	’s	’s	ADV
cana-3826	228	5	.	.	PUNCT
cana-3826	229	1	let	let	VERB
cana-3826	229	2	(	(	PUNCT
cana-3826	229	3	𝔐	𝔐	NOUN
cana-3826	229	4	,	,	PUNCT
cana-3826	229	5	q	q	X
cana-3826	229	6	)	)	PUNCT
cana-3826	229	7	be	be	AUX
cana-3826	229	8	the	the	DET
cana-3826	229	9	class	class	NOUN
cana-3826	229	10	of	of	ADP
cana-3826	229	11	fhys	fhy	NOUN
cana-3826	229	12	sets	set	NOUN
cana-3826	229	13	.	.	PUNCT
cana-3826	230	1	let	let	VERB
cana-3826	230	2	the	the	DET
cana-3826	230	3	fhyss	fhyss	NOUN
cana-3826	230	4	’s	’s	PART
cana-3826	230	5	(	(	PUNCT
cana-3826	230	6	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	230	7	)	)	PUNCT
cana-3826	230	8	,	,	PUNCT
cana-3826	230	9	(	(	PUNCT
cana-3826	230	10	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	230	11	)	)	PUNCT
cana-3826	230	12	,	,	PUNCT
cana-3826	230	13	(	(	PUNCT
cana-3826	230	14	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	230	15	)	)	PUNCT
cana-3826	230	16	,	,	PUNCT
cana-3826	230	17	(	(	PUNCT
cana-3826	230	18	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	230	19	)	)	PUNCT
cana-3826	230	20	,	,	PUNCT
cana-3826	230	21	(	(	PUNCT
cana-3826	230	22	φ̃5,∧	φ̃5,∧	X
cana-3826	230	23	)	)	PUNCT
cana-3826	230	24	over	over	ADP
cana-3826	230	25	the	the	DET
cana-3826	230	26	universe	universe	NOUN
cana-3826	230	27	𝔐	𝔐	PRON
cana-3826	230	28	be	be	AUX
cana-3826	230	29	(	(	PUNCT
cana-3826	230	30	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	230	31	)	)	PUNCT
cana-3826	231	1	=	=	PRON
cana-3826	231	2	{	{	PUNCT
cana-3826	231	3	〈	〈	PROPN
cana-3826	231	4	(	(	PUNCT
cana-3826	231	5	a1	a1	NOUN
cana-3826	231	6	,	,	PUNCT
cana-3826	231	7	b1	b1	NOUN
cana-3826	231	8	)	)	PUNCT
cana-3826	231	9	,	,	PUNCT
cana-3826	231	10	{	{	PUNCT
cana-3826	231	11	𝔪1	𝔪1	PROPN
cana-3826	231	12	0.8	0.8	NUM
cana-3826	231	13	,	,	PUNCT
cana-3826	231	14	𝔪2	𝔪2	NOUN
cana-3826	231	15	0	0	NUM
cana-3826	231	16	}	}	PUNCT
cana-3826	231	17	〉	〉	NOUN
cana-3826	231	18	,	,	PUNCT
cana-3826	231	19	〈	〈	PROPN
cana-3826	231	20	(	(	PUNCT
cana-3826	231	21	a2	a2	PROPN
cana-3826	231	22	,	,	PUNCT
cana-3826	231	23	b1	b1	NOUN
cana-3826	231	24	)	)	PUNCT
cana-3826	231	25	,	,	PUNCT
cana-3826	231	26	{	{	PUNCT
cana-3826	231	27	𝔪1	𝔪1	PROPN
cana-3826	231	28	0	0	NUM
cana-3826	231	29	,	,	PUNCT
cana-3826	231	30	𝔪2	𝔪2	NOUN
cana-3826	231	31	0	0	NUM
cana-3826	231	32	}	}	PUNCT
cana-3826	231	33	〉	〉	NOUN
cana-3826	231	34	}	}	PUNCT
cana-3826	231	35	(	(	PUNCT
cana-3826	231	36	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	231	37	)	)	PUNCT
cana-3826	231	38	=	=	PRON
cana-3826	231	39	{	{	PUNCT
cana-3826	231	40	〈	〈	PROPN
cana-3826	231	41	(	(	PUNCT
cana-3826	231	42	a1	a1	NOUN
cana-3826	231	43	,	,	PUNCT
cana-3826	231	44	b1	b1	NOUN
cana-3826	231	45	)	)	PUNCT
cana-3826	231	46	,	,	PUNCT
cana-3826	231	47	{	{	PUNCT
cana-3826	231	48	𝔪1	𝔪1	PROPN
cana-3826	231	49	0.2	0.2	NUM
cana-3826	231	50	,	,	PUNCT
cana-3826	231	51	𝔪2	𝔪2	NOUN
cana-3826	231	52	0	0	NUM
cana-3826	231	53	}	}	PUNCT
cana-3826	231	54	〉	〉	NOUN
cana-3826	231	55	,	,	PUNCT
cana-3826	231	56	〈	〈	PROPN
cana-3826	231	57	(	(	PUNCT
cana-3826	231	58	a2	a2	PROPN
cana-3826	231	59	,	,	PUNCT
cana-3826	231	60	b1	b1	NOUN
cana-3826	231	61	)	)	PUNCT
cana-3826	231	62	,	,	PUNCT
cana-3826	231	63	{	{	PUNCT
cana-3826	231	64	𝔪1	𝔪1	PROPN
cana-3826	231	65	0	0	NUM
cana-3826	231	66	,	,	PUNCT
cana-3826	231	67	𝔪2	𝔪2	NOUN
cana-3826	231	68	0	0	NUM
cana-3826	231	69	}	}	PUNCT
cana-3826	231	70	〉	〉	NOUN
cana-3826	231	71	}	}	PUNCT
cana-3826	231	72	(	(	PUNCT
cana-3826	231	73	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	231	74	)	)	PUNCT
cana-3826	231	75	=	=	PRON
cana-3826	231	76	{	{	PUNCT
cana-3826	231	77	〈	〈	PROPN
cana-3826	231	78	(	(	PUNCT
cana-3826	231	79	a1	a1	NOUN
cana-3826	231	80	,	,	PUNCT
cana-3826	231	81	b1	b1	NOUN
cana-3826	231	82	)	)	PUNCT
cana-3826	231	83	,	,	PUNCT
cana-3826	231	84	{	{	PUNCT
cana-3826	231	85	𝔪1	𝔪1	PROPN
cana-3826	231	86	0.8	0.8	NUM
cana-3826	231	87	,	,	PUNCT
cana-3826	231	88	𝔪2	𝔪2	NOUN
cana-3826	231	89	0.9	0.9	NUM
cana-3826	231	90	}	}	PUNCT
cana-3826	231	91	〉	〉	NOUN
cana-3826	231	92	,	,	PUNCT
cana-3826	231	93	〈	〈	PROPN
cana-3826	231	94	(	(	PUNCT
cana-3826	231	95	a2	a2	PROPN
cana-3826	231	96	,	,	PUNCT
cana-3826	231	97	b1	b1	NOUN
cana-3826	231	98	)	)	PUNCT
cana-3826	231	99	,	,	PUNCT
cana-3826	231	100	{	{	PUNCT
cana-3826	231	101	𝔪1	𝔪1	PROPN
cana-3826	231	102	0.7	0.7	NUM
cana-3826	231	103	,	,	PUNCT
cana-3826	231	104	𝔪2	𝔪2	NOUN
cana-3826	231	105	0.6	0.6	NUM
cana-3826	231	106	}	}	PUNCT
cana-3826	231	107	〉	〉	NOUN
cana-3826	231	108	}	}	PUNCT
cana-3826	231	109	(	(	PUNCT
cana-3826	231	110	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	231	111	)	)	PUNCT
cana-3826	231	112	=	=	PRON
cana-3826	231	113	{	{	PUNCT
cana-3826	231	114	〈	〈	PROPN
cana-3826	231	115	(	(	PUNCT
cana-3826	231	116	a1	a1	NOUN
cana-3826	231	117	,	,	PUNCT
cana-3826	231	118	b1	b1	NOUN
cana-3826	231	119	)	)	PUNCT
cana-3826	231	120	,	,	PUNCT
cana-3826	231	121	{	{	PUNCT
cana-3826	231	122	𝔪1	𝔪1	PROPN
cana-3826	231	123	0.2	0.2	NUM
cana-3826	231	124	,	,	PUNCT
cana-3826	231	125	𝔪2	𝔪2	NOUN
cana-3826	231	126	0.1	0.1	NUM
cana-3826	231	127	}	}	PUNCT
cana-3826	231	128	〉	〉	NOUN
cana-3826	231	129	,	,	PUNCT
cana-3826	231	130	〈	〈	PROPN
cana-3826	231	131	(	(	PUNCT
cana-3826	231	132	a2	a2	PROPN
cana-3826	231	133	,	,	PUNCT
cana-3826	231	134	b1	b1	NOUN
cana-3826	231	135	)	)	PUNCT
cana-3826	231	136	,	,	PUNCT
cana-3826	231	137	{	{	PUNCT
cana-3826	231	138	𝔪1	𝔪1	PROPN
cana-3826	231	139	0.3	0.3	NUM
cana-3826	231	140	,	,	PUNCT
cana-3826	231	141	𝔪2	𝔪2	PROPN
cana-3826	231	142	0.4	0.4	NUM
cana-3826	231	143	}	}	PUNCT
cana-3826	231	144	〉	〉	NOUN
cana-3826	231	145	}	}	PUNCT
cana-3826	231	146	(	(	PUNCT
cana-3826	231	147	φ̃5,∧	φ̃5,∧	X
cana-3826	231	148	)	)	PUNCT
cana-3826	231	149	=	=	PRON
cana-3826	231	150	{	{	PUNCT
cana-3826	231	151	〈	〈	PROPN
cana-3826	231	152	(	(	PUNCT
cana-3826	231	153	a1	a1	NOUN
cana-3826	231	154	,	,	PUNCT
cana-3826	231	155	b1	b1	NOUN
cana-3826	231	156	)	)	PUNCT
cana-3826	231	157	,	,	PUNCT
cana-3826	231	158	{	{	PUNCT
cana-3826	231	159	𝔪1	𝔪1	PROPN
cana-3826	231	160	0.8	0.8	NUM
cana-3826	231	161	,	,	PUNCT
cana-3826	231	162	𝔪2	𝔪2	NOUN
cana-3826	231	163	0.1	0.1	NUM
cana-3826	231	164	}	}	PUNCT
cana-3826	231	165	〉	〉	NOUN
cana-3826	231	166	,	,	PUNCT
cana-3826	231	167	〈	〈	PROPN
cana-3826	231	168	(	(	PUNCT
cana-3826	231	169	a2	a2	PROPN
cana-3826	231	170	,	,	PUNCT
cana-3826	231	171	b1	b1	NOUN
cana-3826	231	172	)	)	PUNCT
cana-3826	231	173	,	,	PUNCT
cana-3826	231	174	{	{	PUNCT
cana-3826	231	175	𝔪1	𝔪1	PROPN
cana-3826	231	176	0.3	0.3	NUM
cana-3826	231	177	,	,	PUNCT
cana-3826	231	178	𝔪2	𝔪2	PROPN
cana-3826	231	179	0.4	0.4	NUM
cana-3826	231	180	}	}	PUNCT
cana-3826	231	181	〉	〉	NOUN
cana-3826	231	182	}	}	PUNCT
cana-3826	231	183	τ̃	τ̃	PROPN
cana-3826	232	1	=	=	SYM
cana-3826	232	2	{	{	PUNCT
cana-3826	232	3	0̃(𝔐,q	0̃(𝔐,q	PROPN
cana-3826	232	4	)	)	PUNCT
cana-3826	232	5	,	,	PUNCT
cana-3826	232	6	1̃(𝔐,q	1̃(𝔐,q	NUM
cana-3826	232	7	)	)	PUNCT
cana-3826	232	8	,	,	PUNCT
cana-3826	232	9	(	(	PUNCT
cana-3826	232	10	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	232	11	)	)	PUNCT
cana-3826	232	12	,	,	PUNCT
cana-3826	232	13	(	(	PUNCT
cana-3826	232	14	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	232	15	)	)	PUNCT
cana-3826	232	16	,	,	PUNCT
cana-3826	232	17	(	(	PUNCT
cana-3826	232	18	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	232	19	)	)	PUNCT
cana-3826	232	20	,	,	PUNCT
cana-3826	232	21	(	(	PUNCT
cana-3826	232	22	φ̃4,∧	φ̃4,∧	PROPN
cana-3826	232	23	)	)	PUNCT
cana-3826	232	24	,	,	PUNCT
cana-3826	232	25	(	(	PUNCT
cana-3826	232	26	φ̃5,∧	φ̃5,∧	X
cana-3826	232	27	)	)	PUNCT
cana-3826	232	28	}	}	PUNCT
cana-3826	232	29	is	be	AUX
cana-3826	232	30	fhysts	fhyst	NOUN
cana-3826	232	31	.	.	PUNCT
cana-3826	233	1	hence	hence	ADV
cana-3826	233	2	,	,	PUNCT
cana-3826	233	3	(	(	PUNCT
cana-3826	233	4	𝔐	𝔐	INTJ
cana-3826	233	5	,	,	PUNCT
cana-3826	233	6	q	q	NOUN
cana-3826	233	7	,	,	PUNCT
cana-3826	233	8	τ̃	τ̃	PROPN
cana-3826	233	9	)	)	PUNCT
cana-3826	233	10	is	be	AUX
cana-3826	233	11	a	a	DET
cana-3826	233	12	fhsts	fhst	NOUN
cana-3826	233	13	over	over	ADP
cana-3826	233	14	𝔐.	𝔐.	PROPN
cana-3826	233	15	here	here	ADV
cana-3826	233	16	,	,	PUNCT
cana-3826	233	17	(	(	PUNCT
cana-3826	233	18	φ̃3,∧	φ̃3,∧	NOUN
cana-3826	233	19	)	)	PUNCT
cana-3826	233	20	and	and	CCONJ
cana-3826	233	21	(	(	PUNCT
cana-3826	233	22	φ̃4,∧	φ̃4,∧	X
cana-3826	233	23	)	)	PUNCT
cana-3826	233	24	are	be	AUX
cana-3826	233	25	fhs	fhs	ADJ
cana-3826	233	26	θos	θos	PROPN
cana-3826	233	27	’s	’s	PART
cana-3826	233	28	.	.	PUNCT
cana-3826	234	1	also	also	ADV
cana-3826	234	2	,	,	PUNCT
cana-3826	234	3	(	(	PUNCT
cana-3826	234	4	𝔐	𝔐	INTJ
cana-3826	234	5	,	,	PUNCT
cana-3826	234	6	q	q	NOUN
cana-3826	234	7	,	,	PUNCT
cana-3826	234	8	τ̃	τ̃	PROPN
cana-3826	234	9	)	)	PUNCT
cana-3826	234	10	is	be	AUX
cana-3826	234	11	a	a	DET
cana-3826	234	12	fhsθt2space	fhsθt2space	NOUN
cana-3826	234	13	.	.	PUNCT
cana-3826	235	1	theorem	theorem	VERB
cana-3826	235	2	3.3	3.3	NUM
cana-3826	235	3	let	let	NOUN
cana-3826	235	4	(	(	PUNCT
cana-3826	235	5	𝔐	𝔐	NOUN
cana-3826	235	6	,	,	PUNCT
cana-3826	235	7	q	q	NOUN
cana-3826	235	8	,	,	PUNCT
cana-3826	235	9	τ̃	τ̃	PROPN
cana-3826	235	10	)	)	PUNCT
cana-3826	235	11	be	be	VERB
cana-3826	235	12	a	a	DET
cana-3826	235	13	fhsts	fhst	NOUN
cana-3826	235	14	over	over	ADP
cana-3826	235	15	𝔐.	𝔐.	PROPN
cana-3826	235	16	then	then	ADV
cana-3826	235	17	(	(	PUNCT
cana-3826	235	18	𝔐	𝔐	NOUN
cana-3826	235	19	,	,	PUNCT
cana-3826	235	20	q	q	NOUN
cana-3826	235	21	,	,	PUNCT
cana-3826	235	22	τ̃	τ̃	PROPN
cana-3826	235	23	)	)	PUNCT
cana-3826	235	24	is	be	AUX
cana-3826	235	25	a	a	DET
cana-3826	235	26	fhsθ	fhsθ	ADJ
cana-3826	235	27	(	(	PUNCT
cana-3826	235	28	resp	resp	NOUN
cana-3826	235	29	.	.	PUNCT
cana-3826	236	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	236	2	,	,	PUNCT
cana-3826	236	3	&	&	CCONJ
cana-3826	236	4	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	236	5	iff	iff	VERB
cana-3826	236	6	each	each	DET
cana-3826	236	7	fhsp	fhsp	NOUN
cana-3826	236	8	is	be	AUX
cana-3826	236	9	a	a	DET
cana-3826	236	10	fhsθcs	fhsθcs	ADJ
cana-3826	236	11	(	(	PUNCT
cana-3826	236	12	resp	resp	NOUN
cana-3826	236	13	.	.	PUNCT
cana-3826	237	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	237	2	&	&	CCONJ
cana-3826	237	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	237	4	)	)	PUNCT
cana-3826	237	5	.	.	PUNCT
cana-3826	238	1	proof	proof	NOUN
cana-3826	238	2	.	.	PUNCT
cana-3826	239	1	let	let	AUX
cana-3826	239	2	(	(	PUNCT
cana-3826	239	3	𝔐	𝔐	NOUN
cana-3826	239	4	,	,	PUNCT
cana-3826	239	5	q	q	NOUN
cana-3826	239	6	,	,	PUNCT
cana-3826	239	7	τ̃	τ̃	PROPN
cana-3826	239	8	)	)	PUNCT
cana-3826	239	9	be	be	VERB
cana-3826	239	10	a	a	DET
cana-3826	239	11	fhsθ	fhsθ	ADJ
cana-3826	239	12	(	(	PUNCT
cana-3826	239	13	resp	resp	NOUN
cana-3826	239	14	.	.	PUNCT
cana-3826	240	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	240	2	,	,	PUNCT
cana-3826	240	3	&	&	CCONJ
cana-3826	240	4	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	240	5	and	and	CCONJ
cana-3826	240	6	𝔪φ	𝔪φ	NOUN
cana-3826	240	7	𝔮	𝔮	AUX
cana-3826	240	8	be	be	AUX
cana-3826	240	9	an	an	DET
cana-3826	240	10	arbitrary	arbitrary	ADJ
cana-3826	240	11	fhsp	fhsp	NOUN
cana-3826	240	12	.	.	PUNCT
cana-3826	241	1	let	let	VERB
cana-3826	241	2	𝔫φ′	𝔫φ′	VERB
cana-3826	241	3	𝔮′	𝔮′	NUM
cana-3826	241	4	∈	∈	PROPN
cana-3826	241	5	(	(	PUNCT
cana-3826	241	6	𝔪φ	𝔪φ	NOUN
cana-3826	241	7	𝔮	𝔮	PROPN
cana-3826	241	8	)	)	PUNCT
cana-3826	241	9	c.	c.	NOUN
cana-3826	241	10	then	then	ADV
cana-3826	241	11	𝔪φ	𝔪φ	PROPN
cana-3826	241	12	𝔮	𝔮	PROPN
cana-3826	241	13	and	and	CCONJ
cana-3826	241	14	𝔫φ′	𝔫φ′	VERB
cana-3826	241	15	𝔮′	𝔮′	NUM
cana-3826	241	16	are	be	AUX
cana-3826	241	17	distinct	distinct	ADJ
cana-3826	241	18	fhsp	fhsp	ADJ
cana-3826	241	19	’s	’s	NOUN
cana-3826	241	20	.	.	PUNCT
cana-3826	242	1	thus	thus	ADV
cana-3826	242	2	𝔪	𝔪	ADP
cana-3826	242	3	≠	≠	PROPN
cana-3826	242	4	𝔫	𝔫	NOUN
cana-3826	242	5	or	or	CCONJ
cana-3826	242	6	𝔮′	𝔮′	NUM
cana-3826	242	7	≠	≠	PROPN
cana-3826	242	8	𝔮.	𝔮.	NOUN
cana-3826	242	9	since	since	SCONJ
cana-3826	242	10	(	(	PUNCT
cana-3826	242	11	𝔐	𝔐	PROPN
cana-3826	242	12	,	,	PUNCT
cana-3826	242	13	q	q	NOUN
cana-3826	242	14	,	,	PUNCT
cana-3826	242	15	τ̃	τ̃	PROPN
cana-3826	242	16	)	)	PUNCT
cana-3826	242	17	is	be	AUX
cana-3826	242	18	a	a	DET
cana-3826	242	19	fhsθ	fhsθ	ADJ
cana-3826	242	20	(	(	PUNCT
cana-3826	242	21	resp	resp	NOUN
cana-3826	242	22	.	.	PUNCT
cana-3826	243	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	243	2	,	,	PUNCT
cana-3826	243	3	&	&	CCONJ
cana-3826	243	4	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	243	5	,	,	PUNCT
cana-3826	243	6	there	there	PRON
cana-3826	243	7	exists	exist	VERB
cana-3826	243	8	a	a	DET
cana-3826	243	9	fhsθos	fhsθos	NOUN
cana-3826	243	10	(	(	PUNCT
cana-3826	243	11	resp	resp	NOUN
cana-3826	243	12	.	.	PUNCT
cana-3826	244	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	244	2	&	&	CCONJ
cana-3826	244	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	244	4	)	)	PUNCT
cana-3826	244	5	(	(	PUNCT
cana-3826	244	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	244	7	)	)	PUNCT
cana-3826	244	8	such	such	ADJ
cana-3826	244	9	that	that	SCONJ
cana-3826	244	10	𝔫(α′,β′,γ′	𝔫(α′,β′,γ′	NOUN
cana-3826	244	11	)	)	PUNCT
cana-3826	244	12	𝔮′	𝔮′	NUM
cana-3826	244	13	∈	∈	PROPN
cana-3826	244	14	(	(	PUNCT
cana-3826	244	15	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	244	16	)	)	PUNCT
cana-3826	244	17	and	and	CCONJ
cana-3826	244	18	𝔪φ	𝔪φ	NOUN
cana-3826	244	19	𝔮	𝔮	PROPN
cana-3826	244	20	∩	∩	NOUN
cana-3826	244	21	(	(	PUNCT
cana-3826	244	22	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	244	23	)	)	PUNCT
cana-3826	244	24	=	=	SYM
cana-3826	244	25	0(𝔐,q	0(𝔐,q	NUM
cana-3826	244	26	)	)	PUNCT
cana-3826	244	27	.	.	PUNCT
cana-3826	245	1	since	since	SCONJ
cana-3826	245	2	𝔪φ	𝔪φ	PROPN
cana-3826	245	3	𝔮	𝔮	NUM
cana-3826	245	4	∩	∩	X
cana-3826	245	5	(	(	PUNCT
cana-3826	245	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	245	7	)	)	PUNCT
cana-3826	245	8	=	=	SYM
cana-3826	245	9	0(𝔐,q	0(𝔐,q	NUM
cana-3826	245	10	)	)	PUNCT
cana-3826	245	11	,	,	PUNCT
cana-3826	245	12	we	we	PRON
cana-3826	245	13	have	have	VERB
cana-3826	245	14	𝔫φ′	𝔫φ′	PROPN
cana-3826	245	15	𝔮′	𝔮′	NUM
cana-3826	245	16	∈	∈	PROPN
cana-3826	245	17	(	(	PUNCT
cana-3826	245	18	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	245	19	)	)	PUNCT
cana-3826	245	20	⊆	⊆	NUM
cana-3826	245	21	(	(	PUNCT
cana-3826	245	22	𝔪φ	𝔪φ	NOUN
cana-3826	245	23	𝔮	𝔮	PROPN
cana-3826	245	24	)	)	PUNCT
cana-3826	245	25	c.	c.	NOUN
cana-3826	245	26	thus	thus	ADV
cana-3826	245	27	(	(	PUNCT
cana-3826	245	28	𝔪φ	𝔪φ	NOUN
cana-3826	245	29	𝔮	𝔮	X
cana-3826	245	30	)	)	PUNCT
cana-3826	245	31	c	c	NOUN
cana-3826	245	32	is	be	AUX
cana-3826	245	33	a	a	DET
cana-3826	245	34	fhsθos	fhsθos	NOUN
cana-3826	245	35	(	(	PUNCT
cana-3826	245	36	resp	resp	NOUN
cana-3826	245	37	.	.	PUNCT
cana-3826	246	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	246	2	&	&	CCONJ
cana-3826	246	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	246	4	)	)	PUNCT
cana-3826	246	5	,	,	PUNCT
cana-3826	246	6	ie	ie	X
cana-3826	246	7	,	,	PUNCT
cana-3826	246	8	𝔪φ	𝔪φ	PROPN
cana-3826	246	9	𝔮	𝔮	PROPN
cana-3826	246	10	is	be	AUX
cana-3826	246	11	a	a	DET
cana-3826	246	12	fhsθcs	fhsθcs	ADJ
cana-3826	246	13	(	(	PUNCT
cana-3826	246	14	resp	resp	NOUN
cana-3826	246	15	.	.	PUNCT
cana-3826	247	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	247	2	&	&	CCONJ
cana-3826	247	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	247	4	)	)	PUNCT
cana-3826	247	5	.	.	PUNCT
cana-3826	248	1	conversely	conversely	ADV
cana-3826	248	2	,	,	PUNCT
cana-3826	248	3	suppose	suppose	VERB
cana-3826	248	4	that	that	SCONJ
cana-3826	248	5	each	each	DET
cana-3826	248	6	fhsp	fhsp	ADJ
cana-3826	248	7	𝔪φ	𝔪φ	PROPN
cana-3826	248	8	𝔮	𝔮	X
cana-3826	248	9	is	be	AUX
cana-3826	248	10	a	a	DET
cana-3826	248	11	fhsθcs	fhsθcs	ADJ
cana-3826	248	12	(	(	PUNCT
cana-3826	248	13	resp	resp	NOUN
cana-3826	248	14	.	.	PUNCT
cana-3826	249	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	249	2	&	&	CCONJ
cana-3826	249	3	fhsδ𝒫cs	fhsδ𝒫cs	NOUN
cana-3826	249	4	)	)	PUNCT
cana-3826	249	5	.	.	PUNCT
cana-3826	250	1	then	then	ADV
cana-3826	250	2	(	(	PUNCT
cana-3826	250	3	𝔪φ	𝔪φ	NOUN
cana-3826	250	4	𝔮	𝔮	X
cana-3826	250	5	)	)	PUNCT
cana-3826	251	1	c	c	NOUN
cana-3826	251	2	is	be	AUX
cana-3826	251	3	a	a	DET
cana-3826	251	4	fhsθos	fhsθos	NOUN
cana-3826	251	5	(	(	PUNCT
cana-3826	251	6	resp	resp	NOUN
cana-3826	251	7	.	.	PUNCT
cana-3826	252	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	252	2	&	&	CCONJ
cana-3826	252	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	252	4	)	)	PUNCT
cana-3826	252	5	.	.	PUNCT
cana-3826	253	1	let	let	VERB
cana-3826	253	2	𝔪φ	𝔪φ	NOUN
cana-3826	253	3	𝔮	𝔮	X
cana-3826	253	4	∩	∩	X
cana-3826	253	5	𝔫φ′	𝔫φ′	NOUN
cana-3826	253	6	𝔮′	𝔮′	NUM
cana-3826	253	7	=	=	SYM
cana-3826	253	8	0(𝔐,q	0(𝔐,q	NUM
cana-3826	253	9	)	)	PUNCT
cana-3826	253	10	.	.	PUNCT
cana-3826	254	1	thus	thus	ADV
cana-3826	254	2	,	,	PUNCT
cana-3826	254	3	𝔫φ′	𝔫φ′	VERB
cana-3826	254	4	𝔮′	𝔮′	NUM
cana-3826	254	5	∈	∈	PROPN
cana-3826	254	6	(	(	PUNCT
cana-3826	254	7	𝔪φ	𝔪φ	NOUN
cana-3826	254	8	𝔮	𝔮	PROPN
cana-3826	254	9	)	)	PUNCT
cana-3826	254	10	c	c	NOUN
cana-3826	254	11	and	and	CCONJ
cana-3826	254	12	𝔪φ	𝔪φ	NOUN
cana-3826	254	13	𝔮	𝔮	PROPN
cana-3826	254	14	∩	∩	X
cana-3826	254	15	(	(	PUNCT
cana-3826	254	16	𝔪φ	𝔪φ	NOUN
cana-3826	254	17	𝔮	𝔮	PROPN
cana-3826	254	18	)	)	PUNCT
cana-3826	254	19	c	c	NOUN
cana-3826	254	20	=	=	SYM
cana-3826	254	21	0(𝔐,q	0(𝔐,q	NUM
cana-3826	254	22	)	)	PUNCT
cana-3826	254	23	.	.	PUNCT
cana-3826	255	1	so	so	ADV
cana-3826	255	2	(	(	PUNCT
cana-3826	255	3	𝔐	𝔐	PROPN
cana-3826	255	4	,	,	PUNCT
cana-3826	255	5	q	q	NOUN
cana-3826	255	6	,	,	PUNCT
cana-3826	255	7	τ̃	τ̃	PROPN
cana-3826	255	8	)	)	PUNCT
cana-3826	255	9	is	be	AUX
cana-3826	255	10	a	a	DET
cana-3826	255	11	fhsθ	fhsθ	ADJ
cana-3826	255	12	(	(	PUNCT
cana-3826	255	13	resp	resp	NOUN
cana-3826	255	14	.	.	PUNCT
cana-3826	256	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	256	2	,	,	PUNCT
cana-3826	256	3	&	&	CCONJ
cana-3826	256	4	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	256	5	on	on	ADP
cana-3826	256	6	𝔐	𝔐	PROPN
cana-3826	256	7	theorem	theorem	VERB
cana-3826	256	8	3.4	3.4	NUM
cana-3826	256	9	let	let	NOUN
cana-3826	256	10	(	(	PUNCT
cana-3826	256	11	𝔐	𝔐	NOUN
cana-3826	256	12	,	,	PUNCT
cana-3826	256	13	q	q	NOUN
cana-3826	256	14	,	,	PUNCT
cana-3826	256	15	τ̃	τ̃	PROPN
cana-3826	256	16	)	)	PUNCT
cana-3826	256	17	be	be	VERB
cana-3826	256	18	a	a	DET
cana-3826	256	19	fhsts	fhst	NOUN
cana-3826	256	20	over	over	ADP
cana-3826	256	21	𝔐.	𝔐.	PROPN
cana-3826	256	22	then	then	ADV
cana-3826	256	23	(	(	PUNCT
cana-3826	256	24	𝔐	𝔐	NOUN
cana-3826	256	25	,	,	PUNCT
cana-3826	256	26	q	q	NOUN
cana-3826	256	27	,	,	PUNCT
cana-3826	256	28	τ̃	τ̃	PROPN
cana-3826	256	29	)	)	PUNCT
cana-3826	256	30	is	be	AUX
cana-3826	256	31	a	a	DET
cana-3826	256	32	fhsθ	fhsθ	ADJ
cana-3826	256	33	(	(	PUNCT
cana-3826	256	34	resp	resp	NOUN
cana-3826	256	35	.	.	PUNCT
cana-3826	257	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	257	2	&	&	CCONJ
cana-3826	257	3	fhsθ𝒫)t2space	fhsθ𝒫)t2space	NOUN
cana-3826	257	4	iff	iff	PROPN
cana-3826	257	5	for	for	ADP
cana-3826	257	6	distinct	distinct	ADJ
cana-3826	257	7	fhsp	fhsp	PROPN
cana-3826	257	8	’s	’s	PART
cana-3826	257	9	𝔪φ	𝔪φ	PROPN
cana-3826	257	10	𝔮	𝔮	PROPN
cana-3826	257	11	and	and	CCONJ
cana-3826	257	12	𝔫φ′	𝔫φ′	VERB
cana-3826	257	13	𝔮′	𝔮′	NUM
cana-3826	257	14	,	,	PUNCT
cana-3826	257	15	there	there	PRON
cana-3826	257	16	exists	exist	VERB
cana-3826	257	17	a	a	DET
cana-3826	257	18	fhsθos	fhsθos	NOUN
cana-3826	257	19	(	(	PUNCT
cana-3826	257	20	resp	resp	NOUN
cana-3826	257	21	.	.	PUNCT
cana-3826	258	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	258	2	&	&	CCONJ
cana-3826	258	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	258	4	)	)	PUNCT
cana-3826	258	5	(	(	PUNCT
cana-3826	258	6	φ̃,∧	φ̃,∧	NOUN
cana-3826	258	7	)	)	PUNCT
cana-3826	258	8	containing	contain	VERB
cana-3826	258	9	𝔪φ	𝔪φ	NOUN
cana-3826	258	10	𝔮	𝔮	PROPN
cana-3826	258	11	but	but	CCONJ
cana-3826	258	12	not	not	PART
cana-3826	258	13	𝔫φ′	𝔫φ′	VERB
cana-3826	258	14	𝔮′	𝔮′	NUM
cana-3826	258	15	such	such	ADJ
cana-3826	258	16	that	that	DET
cana-3826	258	17	𝔫φ′	𝔫φ′	PROPN
cana-3826	258	18	𝔮′	𝔮′	NUM
cana-3826	258	19	does	do	AUX
cana-3826	258	20	not	not	PART
cana-3826	258	21	belong	belong	VERB
cana-3826	258	22	to	to	ADP
cana-3826	258	23	fhscl(φ̃,∧	fhscl(φ̃,∧	NUM
cana-3826	258	24	)	)	PUNCT
cana-3826	258	25	.	.	PUNCT
cana-3826	259	1	proof	proof	NOUN
cana-3826	259	2	.	.	PUNCT
cana-3826	260	1	let	let	VERB
cana-3826	260	2	𝔪φ	𝔪φ	PROPN
cana-3826	260	3	𝔮	𝔮	PROPN
cana-3826	260	4	and	and	CCONJ
cana-3826	260	5	𝔫φ′	𝔫φ′	VERB
cana-3826	260	6	𝔮′	𝔮′	NUM
cana-3826	260	7	be	be	AUX
cana-3826	260	8	two	two	NUM
cana-3826	260	9	fhsp	fhsp	ADJ
cana-3826	260	10	’s	’s	NOUN
cana-3826	260	11	in	in	ADP
cana-3826	260	12	fhsθ	fhsθ	PROPN
cana-3826	260	13	(	(	PUNCT
cana-3826	260	14	resp	resp	NOUN
cana-3826	260	15	.	.	PUNCT
cana-3826	261	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	261	2	,	,	PUNCT
cana-3826	261	3	&	&	CCONJ
cana-3826	261	4	fhsθ𝒫)t2space	fhsθ𝒫)t2space	NUM
cana-3826	261	5	(	(	PUNCT
cana-3826	261	6	𝔐	𝔐	NOUN
cana-3826	261	7	,	,	PUNCT
cana-3826	261	8	q	q	NOUN
cana-3826	261	9	,	,	PUNCT
cana-3826	261	10	τ̃	τ̃	PROPN
cana-3826	261	11	)	)	PUNCT
cana-3826	261	12	.	.	PUNCT
cana-3826	262	1	then	then	ADV
cana-3826	262	2	there	there	PRON
cana-3826	262	3	exist	exist	VERB
cana-3826	262	4	disjoint	disjoint	NOUN
cana-3826	262	5	fhsθos	fhsθos	NOUN
cana-3826	262	6	(	(	PUNCT
cana-3826	262	7	resp	resp	NOUN
cana-3826	262	8	.	.	PUNCT
cana-3826	263	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	263	2	&	&	CCONJ
cana-3826	263	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	263	4	)	)	PUNCT
cana-3826	263	5	’s	’s	PART
cana-3826	263	6	(	(	PUNCT
cana-3826	263	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	263	8	)	)	PUNCT
cana-3826	263	9	and	and	CCONJ
cana-3826	263	10	(	(	PUNCT
cana-3826	263	11	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	263	12	)	)	PUNCT
cana-3826	263	13	such	such	ADJ
cana-3826	263	14	that	that	SCONJ
cana-3826	263	15	communications	communication	NOUN
cana-3826	263	16	on	on	ADP
cana-3826	263	17	applied	apply	VERB
cana-3826	263	18	nonlinear	nonlinear	ADJ
cana-3826	263	19	analysis	analysis	NOUN
cana-3826	263	20	issn	issn	NOUN
cana-3826	263	21	:	:	PUNCT
cana-3826	263	22	1074	1074	NUM
cana-3826	263	23	-	-	PUNCT
cana-3826	263	24	133x	133x	NUM
cana-3826	263	25	vol	vol	NOUN
cana-3826	263	26	32	32	NUM
cana-3826	263	27	no	no	NOUN
cana-3826	263	28	.	.	PUNCT
cana-3826	264	1	8s	8s	PROPN
cana-3826	264	2	(	(	PUNCT
cana-3826	264	3	2025	2025	NUM
cana-3826	264	4	)	)	PUNCT
cana-3826	264	5	843	843	NUM
cana-3826	264	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	264	7	𝔪φ	𝔪φ	NOUN
cana-3826	264	8	𝔮	𝔮	X
cana-3826	264	9	∈	∈	PROPN
cana-3826	264	10	(	(	PUNCT
cana-3826	264	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	264	12	)	)	PUNCT
cana-3826	264	13	,	,	PUNCT
cana-3826	264	14	𝔫φ′	𝔫φ′	VERB
cana-3826	264	15	𝔮′	𝔮′	NUM
cana-3826	264	16	∈	∈	PROPN
cana-3826	264	17	(	(	PUNCT
cana-3826	264	18	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	264	19	)	)	PUNCT
cana-3826	264	20	.	.	PUNCT
cana-3826	265	1	since	since	SCONJ
cana-3826	265	2	𝔪φ	𝔪φ	PROPN
cana-3826	265	3	𝔮	𝔮	PROPN
cana-3826	265	4	∩	∩	X
cana-3826	265	5	𝔫φ′	𝔫φ′	NOUN
cana-3826	265	6	𝔮′	𝔮′	NUM
cana-3826	265	7	=	=	SYM
cana-3826	265	8	0(𝔐,q	0(𝔐,q	NUM
cana-3826	265	9	)	)	PUNCT
cana-3826	265	10	and	and	CCONJ
cana-3826	265	11	(	(	PUNCT
cana-3826	265	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	265	13	)	)	PUNCT
cana-3826	265	14	∩	∩	NOUN
cana-3826	265	15	(	(	PUNCT
cana-3826	265	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	265	17	)	)	PUNCT
cana-3826	265	18	=	=	SYM
cana-3826	265	19	0(𝔐,q	0(𝔐,q	NUM
cana-3826	265	20	)	)	PUNCT
cana-3826	265	21	,	,	PUNCT
cana-3826	265	22	𝔫φ′	𝔫φ′	PROPN
cana-3826	265	23	𝔮′	𝔮′	NUM
cana-3826	265	24	does	do	AUX
cana-3826	265	25	not	not	PART
cana-3826	265	26	belong	belong	VERB
cana-3826	265	27	to	to	ADP
cana-3826	265	28	(	(	PUNCT
cana-3826	265	29	φ̃,∧	φ̃,∧	NOUN
cana-3826	265	30	)	)	PUNCT
cana-3826	265	31	.	.	PUNCT
cana-3826	266	1	it	it	PRON
cana-3826	266	2	implies	imply	VERB
cana-3826	266	3	that	that	SCONJ
cana-3826	266	4	𝔫φ′	𝔫φ′	PROPN
cana-3826	266	5	𝔮′	𝔮′	NUM
cana-3826	266	6	does	do	AUX
cana-3826	266	7	not	not	PART
cana-3826	266	8	belong	belong	VERB
cana-3826	266	9	to	to	ADP
cana-3826	266	10	fhscl(φ̃,∧	fhscl(φ̃,∧	NUM
cana-3826	266	11	)	)	PUNCT
cana-3826	266	12	.	.	PUNCT
cana-3826	267	1	conversely	conversely	ADV
cana-3826	267	2	suppose	suppose	VERB
cana-3826	267	3	that	that	SCONJ
cana-3826	267	4	,	,	PUNCT
cana-3826	267	5	for	for	ADP
cana-3826	267	6	distinct	distinct	ADJ
cana-3826	267	7	fhsp	fhsp	PROPN
cana-3826	267	8	’s	’s	PART
cana-3826	267	9	𝔪φ	𝔪φ	PROPN
cana-3826	267	10	𝔮	𝔮	PROPN
cana-3826	267	11	,	,	PUNCT
cana-3826	267	12	𝔫φ′	𝔫φ′	PROPN
cana-3826	267	13	𝔮′	𝔮′	NUM
cana-3826	267	14	,	,	PUNCT
cana-3826	267	15	there	there	PRON
cana-3826	267	16	exists	exist	VERB
cana-3826	267	17	a	a	DET
cana-3826	267	18	fhsθos	fhsθos	NOUN
cana-3826	267	19	(	(	PUNCT
cana-3826	267	20	resp	resp	NOUN
cana-3826	267	21	.	.	PUNCT
cana-3826	268	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	268	2	&	&	CCONJ
cana-3826	268	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	268	4	)	)	PUNCT
cana-3826	268	5	(	(	PUNCT
cana-3826	268	6	φ̃,∧	φ̃,∧	NOUN
cana-3826	268	7	)	)	PUNCT
cana-3826	268	8	containing	contain	VERB
cana-3826	268	9	𝔪φ	𝔪φ	NOUN
cana-3826	268	10	𝔮	𝔮	PROPN
cana-3826	268	11	but	but	CCONJ
cana-3826	268	12	not	not	PART
cana-3826	268	13	𝔫φ′	𝔫φ′	VERB
cana-3826	268	14	𝔮′	𝔮′	NUM
cana-3826	268	15	such	such	ADJ
cana-3826	268	16	that	that	PRON
cana-3826	268	17	𝔫(α′,β′,γ)′	𝔫(α′,β′,γ)′	NOUN
cana-3826	268	18	𝔮′	𝔮′	NUM
cana-3826	268	19	does	do	AUX
cana-3826	268	20	not	not	PART
cana-3826	268	21	belong	belong	VERB
cana-3826	268	22	to	to	ADP
cana-3826	268	23	fhscl(φ̃,∧	fhscl(φ̃,∧	NUM
cana-3826	268	24	)	)	PUNCT
cana-3826	268	25	.	.	PUNCT
cana-3826	269	1	then	then	ADV
cana-3826	269	2	𝔫φ′	𝔫φ′	VERB
cana-3826	269	3	𝔮′	𝔮′	NUM
cana-3826	269	4	∈	∈	PROPN
cana-3826	269	5	(	(	PUNCT
cana-3826	269	6	fhscl(φ̃,∧))c	fhscl(φ̃,∧))c	PROPN
cana-3826	269	7	,	,	PUNCT
cana-3826	269	8	i.	i.	PROPN
cana-3826	269	9	e.	e.	PROPN
cana-3826	269	10	,	,	PUNCT
cana-3826	269	11	(	(	PUNCT
cana-3826	269	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	269	13	)	)	PUNCT
cana-3826	269	14	and	and	CCONJ
cana-3826	269	15	(	(	PUNCT
cana-3826	269	16	fhscl(φ̃,∧))c	fhscl(φ̃,∧))c	PROPN
cana-3826	269	17	are	be	AUX
cana-3826	269	18	disjoint	disjoint	NOUN
cana-3826	269	19	fhsθos	fhsθos	NOUN
cana-3826	269	20	(	(	PUNCT
cana-3826	269	21	resp	resp	NOUN
cana-3826	269	22	.	.	PUNCT
cana-3826	270	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	270	2	&	&	CCONJ
cana-3826	270	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	270	4	)	)	PUNCT
cana-3826	270	5	’s	’	VERB
cana-3826	270	6	containing	contain	VERB
cana-3826	270	7	𝔪φ	𝔪φ	PROPN
cana-3826	270	8	𝔮	𝔮	PROPN
cana-3826	270	9	,	,	PUNCT
cana-3826	270	10	𝔫φ′	𝔫φ′	PROPN
cana-3826	270	11	𝔮′	𝔮′	NUM
cana-3826	270	12	respectively	respectively	ADV
cana-3826	270	13	theorem	theorem	VERB
cana-3826	270	14	3.5	3.5	NUM
cana-3826	270	15	let	let	NOUN
cana-3826	270	16	(	(	PUNCT
cana-3826	270	17	𝔐	𝔐	NOUN
cana-3826	270	18	,	,	PUNCT
cana-3826	270	19	q	q	NOUN
cana-3826	270	20	,	,	PUNCT
cana-3826	270	21	τ̃	τ̃	PROPN
cana-3826	270	22	)	)	PUNCT
cana-3826	270	23	be	be	VERB
cana-3826	270	24	a	a	DET
cana-3826	270	25	fhsθ	fhsθ	ADJ
cana-3826	270	26	(	(	PUNCT
cana-3826	270	27	resp	resp	NOUN
cana-3826	270	28	.	.	PUNCT
cana-3826	271	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	271	2	&	&	CCONJ
cana-3826	271	3	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	271	4	for	for	ADP
cana-3826	271	5	every	every	DET
cana-3826	271	6	fhsp	fhsp	ADJ
cana-3826	271	7	𝔪φ	𝔪φ	NOUN
cana-3826	271	8	𝔮	𝔮	SYM
cana-3826	271	9	∈	∈	PROPN
cana-3826	271	10	(	(	PUNCT
cana-3826	271	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	271	12	)	)	PUNCT
cana-3826	271	13	∈	∈	PROPN
cana-3826	271	14	τ̃.	τ̃.	NOUN
cana-3826	271	15	if	if	SCONJ
cana-3826	271	16	there	there	PRON
cana-3826	271	17	exists	exist	VERB
cana-3826	271	18	a	a	DET
cana-3826	271	19	fhsθos	fhsθos	NOUN
cana-3826	271	20	(	(	PUNCT
cana-3826	271	21	resp	resp	NOUN
cana-3826	271	22	.	.	PUNCT
cana-3826	272	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	272	2	&	&	CCONJ
cana-3826	272	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	272	4	)	)	PUNCT
cana-3826	272	5	(	(	PUNCT
cana-3826	272	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	272	7	)	)	PUNCT
cana-3826	272	8	such	such	ADJ
cana-3826	272	9	that	that	SCONJ
cana-3826	272	10	𝔪φ	𝔪φ	PROPN
cana-3826	272	11	𝔮	𝔮	SYM
cana-3826	272	12	∈	∈	PROPN
cana-3826	272	13	(	(	PUNCT
cana-3826	272	14	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	272	15	)	)	PUNCT
cana-3826	272	16	⊆	⊆	NUM
cana-3826	272	17	fhscl(ψ̃,∧	fhscl(ψ̃,∧	NOUN
cana-3826	272	18	)	)	PUNCT
cana-3826	272	19	⊆	⊆	NUM
cana-3826	272	20	(	(	PUNCT
cana-3826	272	21	φ̃,∧	φ̃,∧	NOUN
cana-3826	272	22	)	)	PUNCT
cana-3826	272	23	,	,	PUNCT
cana-3826	272	24	then	then	ADV
cana-3826	272	25	(	(	PUNCT
cana-3826	272	26	𝔐	𝔐	INTJ
cana-3826	272	27	,	,	PUNCT
cana-3826	272	28	q	q	NOUN
cana-3826	272	29	,	,	PUNCT
cana-3826	272	30	τ̃	τ̃	PROPN
cana-3826	272	31	)	)	PUNCT
cana-3826	272	32	is	be	AUX
cana-3826	272	33	a	a	DET
cana-3826	272	34	fhsθ	fhsθ	ADJ
cana-3826	272	35	(	(	PUNCT
cana-3826	272	36	resp	resp	NOUN
cana-3826	272	37	.	.	PUNCT
cana-3826	273	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	273	2	&	&	CCONJ
cana-3826	273	3	fhsθ𝒫)t2space	fhsθ𝒫)t2space	NOUN
cana-3826	273	4	.	.	PUNCT
cana-3826	274	1	proof	proof	NOUN
cana-3826	274	2	.	.	PUNCT
cana-3826	275	1	suppose	suppose	VERB
cana-3826	275	2	that	that	SCONJ
cana-3826	275	3	𝔪φ	𝔪φ	NOUN
cana-3826	275	4	𝔮	𝔮	PROPN
cana-3826	275	5	∩	∩	X
cana-3826	275	6	𝔫φ′	𝔫φ′	NOUN
cana-3826	275	7	𝔮′	𝔮′	NUM
cana-3826	275	8	=	=	SYM
cana-3826	275	9	0(𝔐,q	0(𝔐,q	NUM
cana-3826	275	10	)	)	PUNCT
cana-3826	275	11	.	.	PUNCT
cana-3826	276	1	since	since	SCONJ
cana-3826	276	2	(	(	PUNCT
cana-3826	276	3	𝔐	𝔐	INTJ
cana-3826	276	4	,	,	PUNCT
cana-3826	276	5	q	q	NOUN
cana-3826	276	6	,	,	PUNCT
cana-3826	276	7	τ̃	τ̃	PROPN
cana-3826	276	8	)	)	PUNCT
cana-3826	276	9	is	be	AUX
cana-3826	276	10	a	a	DET
cana-3826	276	11	fhsθ	fhsθ	ADJ
cana-3826	276	12	(	(	PUNCT
cana-3826	276	13	resp	resp	NOUN
cana-3826	276	14	.	.	PUNCT
cana-3826	277	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	277	2	,	,	PUNCT
cana-3826	277	3	&	&	CCONJ
cana-3826	277	4	fhsθ𝒫)t1space	fhsθ𝒫)t1space	NOUN
cana-3826	277	5	,	,	PUNCT
cana-3826	277	6	𝔪φ	𝔪φ	NOUN
cana-3826	277	7	𝔮	𝔮	PROPN
cana-3826	277	8	and	and	CCONJ
cana-3826	277	9	𝔫φ′	𝔫φ′	VERB
cana-3826	277	10	𝔮′	𝔮′	NUM
cana-3826	277	11	are	be	AUX
cana-3826	277	12	fhsθcs	fhsθcs	ADJ
cana-3826	277	13	(	(	PUNCT
cana-3826	277	14	resp	resp	NOUN
cana-3826	277	15	.	.	PUNCT
cana-3826	278	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	278	2	&	&	CCONJ
cana-3826	278	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	278	4	)	)	PUNCT
cana-3826	278	5	’s	’s	ADV
cana-3826	278	6	in	in	ADP
cana-3826	278	7	τ̃.	τ̃.	NOUN
cana-3826	278	8	then	then	ADV
cana-3826	278	9	𝔪φ	𝔪φ	PROPN
cana-3826	278	10	𝔮	𝔮	SYM
cana-3826	278	11	∈	∈	PROPN
cana-3826	278	12	(	(	PUNCT
cana-3826	278	13	𝔫φ′	𝔫φ′	NOUN
cana-3826	278	14	𝔮′	𝔮′	NUM
cana-3826	278	15	)	)	PUNCT
cana-3826	278	16	c	c	PROPN
cana-3826	278	17	∈	∈	PROPN
cana-3826	278	18	τ̃.	τ̃.	NOUN
cana-3826	278	19	thus	thus	ADV
cana-3826	278	20	there	there	PRON
cana-3826	278	21	exists	exist	VERB
cana-3826	278	22	a	a	DET
cana-3826	278	23	fhsθos	fhsθos	NOUN
cana-3826	278	24	(	(	PUNCT
cana-3826	278	25	resp	resp	NOUN
cana-3826	278	26	.	.	PUNCT
cana-3826	279	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	279	2	&	&	CCONJ
cana-3826	279	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	279	4	)	)	PUNCT
cana-3826	279	5	(	(	PUNCT
cana-3826	279	6	ψ̃,∧	ψ̃,∧	PROPN
cana-3826	279	7	)	)	PUNCT
cana-3826	279	8	in	in	ADP
cana-3826	279	9	τ̃	τ̃	PROPN
cana-3826	279	10	such	such	ADJ
cana-3826	279	11	that	that	SCONJ
cana-3826	279	12	𝔪φ	𝔪φ	PROPN
cana-3826	279	13	𝔮	𝔮	SYM
cana-3826	279	14	∈	∈	PROPN
cana-3826	279	15	(	(	PUNCT
cana-3826	279	16	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	279	17	)	)	PUNCT
cana-3826	279	18	⊆	⊆	NUM
cana-3826	279	19	fhscl(ψ̃,∧	fhscl(ψ̃,∧	NOUN
cana-3826	279	20	)	)	PUNCT
cana-3826	280	1	⊆	⊆	NUM
cana-3826	280	2	(	(	PUNCT
cana-3826	280	3	𝔫φ′	𝔫φ′	NOUN
cana-3826	280	4	𝔮′	𝔮′	NUM
cana-3826	280	5	)	)	PUNCT
cana-3826	280	6	c.	c.	PROPN
cana-3826	281	1	so	so	ADV
cana-3826	281	2	,	,	PUNCT
cana-3826	281	3	we	we	PRON
cana-3826	281	4	have	have	AUX
cana-3826	281	5	𝔫φ′	𝔫φ′	NOUN
cana-3826	281	6	𝔮′	𝔮′	NUM
cana-3826	281	7	∈	∈	PROPN
cana-3826	281	8	(	(	PUNCT
cana-3826	281	9	fhscl(ψ̃,∧))c	fhscl(ψ̃,∧))c	PROPN
cana-3826	281	10	,	,	PUNCT
cana-3826	281	11	𝔪φ	𝔪φ	NOUN
cana-3826	281	12	𝔮	𝔮	SYM
cana-3826	281	13	∈	∈	PROPN
cana-3826	281	14	(	(	PUNCT
cana-3826	281	15	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	281	16	)	)	PUNCT
cana-3826	281	17	and	and	CCONJ
cana-3826	281	18	(	(	PUNCT
cana-3826	281	19	ψ̃,∧	ψ̃,∧	NOUN
cana-3826	281	20	)	)	PUNCT
cana-3826	281	21	∩	∩	NOUN
cana-3826	281	22	(	(	PUNCT
cana-3826	281	23	fhscl(ψ̃,∧))c	fhscl(ψ̃,∧))c	PROPN
cana-3826	281	24	=	=	SYM
cana-3826	281	25	0(𝔐,q	0(𝔐,q	NUM
cana-3826	281	26	)	)	PUNCT
cana-3826	281	27	,	,	PUNCT
cana-3826	281	28	i.	i.	PROPN
cana-3826	281	29	e.	e.	PROPN
cana-3826	281	30	,	,	PUNCT
cana-3826	281	31	(	(	PUNCT
cana-3826	281	32	𝔐	𝔐	PROPN
cana-3826	281	33	,	,	PUNCT
cana-3826	281	34	q	q	NOUN
cana-3826	281	35	,	,	PUNCT
cana-3826	281	36	τ̃	τ̃	PROPN
cana-3826	281	37	)	)	PUNCT
cana-3826	281	38	is	be	AUX
cana-3826	281	39	a	a	DET
cana-3826	281	40	fhsδ	fhsδ	NOUN
cana-3826	281	41	(	(	PUNCT
cana-3826	281	42	resp	resp	NOUN
cana-3826	281	43	.	.	PUNCT
cana-3826	282	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	282	2	&	&	CCONJ
cana-3826	282	3	fhsθ𝒫)t2space	fhsθ𝒫)t2space	NOUN
cana-3826	282	4	remark	remark	VERB
cana-3826	282	5	3.1	3.1	NUM
cana-3826	282	6	let	let	NOUN
cana-3826	282	7	(	(	PUNCT
cana-3826	282	8	𝔐	𝔐	NOUN
cana-3826	282	9	,	,	PUNCT
cana-3826	282	10	q	q	NOUN
cana-3826	282	11	,	,	PUNCT
cana-3826	282	12	τ̃	τ̃	PROPN
cana-3826	282	13	)	)	PUNCT
cana-3826	282	14	be	be	VERB
cana-3826	282	15	a	a	DET
cana-3826	282	16	fhsθ	fhsθ	ADJ
cana-3826	282	17	(	(	PUNCT
cana-3826	282	18	resp	resp	NOUN
cana-3826	282	19	.	.	PUNCT
cana-3826	283	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	283	2	&	&	CCONJ
cana-3826	283	3	fhsθ𝒫)tispace	fhsθ𝒫)tispace	NOUN
cana-3826	283	4	for	for	ADP
cana-3826	283	5	i	i	PRON
cana-3826	283	6	=	=	NOUN
cana-3826	284	1	0,1,2	0,1,2	X
cana-3826	284	2	.	.	PUNCT
cana-3826	285	1	for	for	ADP
cana-3826	285	2	each	each	DET
cana-3826	285	3	𝔪	𝔪	NOUN
cana-3826	285	4	≠	≠	PROPN
cana-3826	285	5	𝔫	𝔫	PROPN
cana-3826	285	6	,	,	PUNCT
cana-3826	285	7	fhsp	fhsp	PROPN
cana-3826	285	8	’s	’s	PART
cana-3826	285	9	𝔪φ	𝔪φ	NOUN
cana-3826	285	10	and	and	CCONJ
cana-3826	285	11	𝔫φ′	𝔫φ′	PROPN
cana-3826	285	12	have	have	VERB
cana-3826	285	13	neighbourhoods	neighbourhood	NOUN
cana-3826	285	14	satisfying	satisfy	VERB
cana-3826	285	15	conditions	condition	NOUN
cana-3826	285	16	of	of	ADP
cana-3826	285	17	θ	θ	PROPN
cana-3826	285	18	(	(	PUNCT
cana-3826	285	19	resp	resp	NOUN
cana-3826	285	20	.	.	PUNCT
cana-3826	286	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	286	2	&	&	CCONJ
cana-3826	286	3	fhsθ𝒫)tispace	fhsθ𝒫)tispace	NOUN
cana-3826	286	4	in	in	ADP
cana-3826	286	5	fhsts	fhst	NOUN
cana-3826	286	6	(	(	PUNCT
cana-3826	286	7	𝔐	𝔐	PROPN
cana-3826	286	8	,	,	PUNCT
cana-3826	286	9	τ̃𝔮	τ̃𝔮	NOUN
cana-3826	286	10	)	)	PUNCT
cana-3826	286	11	for	for	ADP
cana-3826	286	12	each	each	DET
cana-3826	286	13	𝔮	𝔮	NOUN
cana-3826	286	14	∈	∈	PROPN
cana-3826	286	15	q	q	NOUN
cana-3826	286	16	because	because	SCONJ
cana-3826	286	17	𝔪φ	𝔪φ	PROPN
cana-3826	286	18	𝔮	𝔮	PROPN
cana-3826	286	19	and	and	CCONJ
cana-3826	286	20	𝔫φ′	𝔫φ′	VERB
cana-3826	286	21	𝔮′	𝔮′	NUM
cana-3826	286	22	are	be	AUX
cana-3826	286	23	distinct	distinct	ADJ
cana-3826	286	24	fhsp	fhsp	ADJ
cana-3826	286	25	’	'	PUNCT
cana-3826	287	1	s.	s.	PROPN
cana-3826	287	2	definition	definition	NOUN
cana-3826	287	3	3.8	3.8	NUM
cana-3826	287	4	let	let	VERB
cana-3826	287	5	(	(	PUNCT
cana-3826	287	6	𝔐	𝔐	NOUN
cana-3826	287	7	,	,	PUNCT
cana-3826	287	8	q	q	NOUN
cana-3826	287	9	,	,	PUNCT
cana-3826	287	10	τ̃	τ̃	PROPN
cana-3826	287	11	)	)	PUNCT
cana-3826	287	12	be	be	VERB
cana-3826	287	13	fhsts	fhst	NOUN
cana-3826	287	14	over	over	ADP
cana-3826	287	15	𝔐.	𝔐.	PROPN
cana-3826	287	16	let	let	VERB
cana-3826	287	17	(	(	PUNCT
cana-3826	287	18	φ̃,∧	φ̃,∧	X
cana-3826	287	19	)	)	PUNCT
cana-3826	287	20	be	be	AUX
cana-3826	287	21	a	a	DET
cana-3826	287	22	fhsθcs	fhsθcs	ADJ
cana-3826	287	23	(	(	PUNCT
cana-3826	287	24	resp	resp	NOUN
cana-3826	287	25	.	.	PUNCT
cana-3826	288	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	288	2	&	&	CCONJ
cana-3826	288	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	288	4	)	)	PUNCT
cana-3826	288	5	and	and	CCONJ
cana-3826	288	6	𝔪φ	𝔪φ	NOUN
cana-3826	288	7	𝔮	𝔮	PROPN
cana-3826	288	8	∩	∩	X
cana-3826	288	9	(	(	PUNCT
cana-3826	288	10	φ̃,∧	φ̃,∧	NOUN
cana-3826	288	11	)	)	PUNCT
cana-3826	288	12	=	=	SYM
cana-3826	288	13	0(𝔐,q	0(𝔐,q	NUM
cana-3826	288	14	)	)	PUNCT
cana-3826	288	15	.	.	PUNCT
cana-3826	289	1	if	if	SCONJ
cana-3826	289	2	there	there	PRON
cana-3826	289	3	exist	exist	VERB
cana-3826	289	4	fhsθos	fhsθos	NOUN
cana-3826	289	5	(	(	PUNCT
cana-3826	289	6	resp	resp	NOUN
cana-3826	289	7	.	.	PUNCT
cana-3826	290	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	290	2	&	&	CCONJ
cana-3826	290	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	290	4	)	)	PUNCT
cana-3826	290	5	’s	’s	PART
cana-3826	290	6	(	(	PUNCT
cana-3826	290	7	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	290	8	)	)	PUNCT
cana-3826	290	9	and	and	CCONJ
cana-3826	290	10	(	(	PUNCT
cana-3826	290	11	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	290	12	)	)	PUNCT
cana-3826	290	13	such	such	ADJ
cana-3826	290	14	that	that	SCONJ
cana-3826	290	15	𝔪φ	𝔪φ	PROPN
cana-3826	290	16	𝔮	𝔮	SYM
cana-3826	290	17	∈	∈	PROPN
cana-3826	290	18	(	(	PUNCT
cana-3826	290	19	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	290	20	)	)	PUNCT
cana-3826	290	21	,	,	PUNCT
cana-3826	290	22	(	(	PUNCT
cana-3826	290	23	φ̃,∧	φ̃,∧	NOUN
cana-3826	290	24	)	)	PUNCT
cana-3826	290	25	⊆	⊆	NUM
cana-3826	290	26	(	(	PUNCT
cana-3826	290	27	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	290	28	)	)	PUNCT
cana-3826	290	29	and	and	CCONJ
cana-3826	290	30	(	(	PUNCT
cana-3826	290	31	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	290	32	)	)	PUNCT
cana-3826	290	33	∩	∩	NOUN
cana-3826	290	34	(	(	PUNCT
cana-3826	290	35	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	290	36	)	)	PUNCT
cana-3826	290	37	=	=	SYM
cana-3826	290	38	0(𝔐,q	0(𝔐,q	NUM
cana-3826	290	39	)	)	PUNCT
cana-3826	290	40	,	,	PUNCT
cana-3826	290	41	then	then	ADV
cana-3826	290	42	(	(	PUNCT
cana-3826	290	43	𝔐	𝔐	INTJ
cana-3826	290	44	,	,	PUNCT
cana-3826	290	45	q	q	NOUN
cana-3826	290	46	,	,	PUNCT
cana-3826	290	47	τ̃	τ̃	PROPN
cana-3826	290	48	)	)	PUNCT
cana-3826	290	49	is	be	AUX
cana-3826	290	50	called	call	VERB
cana-3826	290	51	a	a	DET
cana-3826	290	52	fuzzy	fuzzy	ADJ
cana-3826	290	53	hypersoft	hypersoft	NOUN
cana-3826	290	54	θ	θ	PROPN
cana-3826	290	55	(	(	PUNCT
cana-3826	290	56	resp	resp	NOUN
cana-3826	290	57	.	.	PUNCT
cana-3826	291	1	θ	θ	NOUN
cana-3826	291	2	semi	semi	ADV
cana-3826	291	3	&	&	CCONJ
cana-3826	291	4	θ	θ	PROPN
cana-3826	291	5	pre)regular	pre)regular	PROPN
cana-3826	291	6	(	(	PUNCT
cana-3826	291	7	briefly	briefly	ADV
cana-3826	291	8	,	,	PUNCT
cana-3826	291	9	fhsθ	fhsθ	NOUN
cana-3826	291	10	(	(	PUNCT
cana-3826	291	11	resp	resp	NOUN
cana-3826	291	12	.	.	PUNCT
cana-3826	292	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	292	2	,	,	PUNCT
cana-3826	292	3	&	&	CCONJ
cana-3826	292	4	fhsθ𝒫)-regular	fhsθ𝒫)-regular	ADJ
cana-3826	292	5	)	)	PUNCT
cana-3826	292	6	space	space	NOUN
cana-3826	292	7	.	.	PUNCT
cana-3826	293	1	(	(	PUNCT
cana-3826	293	2	𝔐	𝔐	NOUN
cana-3826	293	3	,	,	PUNCT
cana-3826	293	4	q	q	NOUN
cana-3826	293	5	,	,	PUNCT
cana-3826	293	6	τ̃	τ̃	PROPN
cana-3826	293	7	)	)	PUNCT
cana-3826	293	8	is	be	AUX
cana-3826	293	9	said	say	VERB
cana-3826	293	10	to	to	PART
cana-3826	293	11	be	be	AUX
cana-3826	293	12	a	a	DET
cana-3826	293	13	fuzzy	fuzzy	ADJ
cana-3826	293	14	hypersoft	hypersoft	NOUN
cana-3826	293	15	θ	θ	PROPN
cana-3826	293	16	(	(	PUNCT
cana-3826	293	17	resp	resp	NOUN
cana-3826	293	18	.	.	PUNCT
cana-3826	294	1	θ	θ	NOUN
cana-3826	294	2	semi	semi	ADV
cana-3826	294	3	&	&	CCONJ
cana-3826	294	4	θ	θ	PROPN
cana-3826	294	5	pre)t3space	pre)t3space	NOUN
cana-3826	294	6	(	(	PUNCT
cana-3826	294	7	briefly	briefly	ADV
cana-3826	294	8	,	,	PUNCT
cana-3826	294	9	fhsθ	fhsθ	NOUN
cana-3826	294	10	(	(	PUNCT
cana-3826	294	11	resp	resp	NOUN
cana-3826	294	12	.	.	PUNCT
cana-3826	295	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	295	2	&	&	CCONJ
cana-3826	295	3	fhsθ𝒫)t3space	fhsθ𝒫)t3space	NUM
cana-3826	295	4	)	)	PUNCT
cana-3826	296	1	if	if	SCONJ
cana-3826	296	2	it	it	PRON
cana-3826	296	3	is	be	AUX
cana-3826	296	4	both	both	PRON
cana-3826	296	5	a	a	DET
cana-3826	296	6	fhsθ	fhsθ	ADJ
cana-3826	296	7	(	(	PUNCT
cana-3826	296	8	resp	resp	NOUN
cana-3826	296	9	.	.	PUNCT
cana-3826	297	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	297	2	&	&	CCONJ
cana-3826	297	3	fhsθ𝒫)-regular	fhsθ𝒫)-regular	PROPN
cana-3826	297	4	and	and	CCONJ
cana-3826	297	5	fhsθ	fhsθ	NOUN
cana-3826	297	6	(	(	PUNCT
cana-3826	297	7	resp	resp	NOUN
cana-3826	297	8	.	.	PUNCT
cana-3826	298	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	298	2	&	&	CCONJ
cana-3826	298	3	fhsθ𝒫)t1	fhsθ𝒫)t1	NOUN
cana-3826	298	4	-	-	NOUN
cana-3826	298	5	space	space	NOUN
cana-3826	298	6	.	.	PUNCT
cana-3826	299	1	theorem	theorem	VERB
cana-3826	299	2	3.6	3.6	NUM
cana-3826	299	3	let	let	VERB
cana-3826	299	4	(	(	PUNCT
cana-3826	299	5	𝔐	𝔐	NOUN
cana-3826	299	6	,	,	PUNCT
cana-3826	299	7	q	q	NOUN
cana-3826	299	8	,	,	PUNCT
cana-3826	299	9	τ̃	τ̃	PROPN
cana-3826	299	10	)	)	PUNCT
cana-3826	299	11	be	be	VERB
cana-3826	299	12	fhsts	fhst	NOUN
cana-3826	299	13	over	over	ADP
cana-3826	299	14	𝔐.	𝔐.	PROPN
cana-3826	299	15	(	(	PUNCT
cana-3826	299	16	𝔐	𝔐	PROPN
cana-3826	299	17	,	,	PUNCT
cana-3826	299	18	q	q	NOUN
cana-3826	299	19	,	,	PUNCT
cana-3826	299	20	τ̃	τ̃	PROPN
cana-3826	299	21	)	)	PUNCT
cana-3826	299	22	is	be	AUX
cana-3826	299	23	a	a	DET
cana-3826	299	24	fhsθ	fhsθ	ADJ
cana-3826	299	25	(	(	PUNCT
cana-3826	299	26	resp	resp	NOUN
cana-3826	299	27	.	.	PUNCT
cana-3826	300	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	300	2	&	&	CCONJ
cana-3826	300	3	fhsθ𝒫	fhsθ𝒫	ADJ
cana-3826	300	4	)	)	PUNCT
cana-3826	300	5	t3	t3	NOUN
cana-3826	300	6	-	-	PUNCT
cana-3826	300	7	space	space	NOUN
cana-3826	300	8	iff	iff	NOUN
cana-3826	300	9	for	for	ADP
cana-3826	300	10	every	every	DET
cana-3826	300	11	𝔪φ	𝔪φ	NOUN
cana-3826	300	12	𝔮	𝔮	SYM
cana-3826	300	13	∈	∈	PROPN
cana-3826	300	14	(	(	PUNCT
cana-3826	300	15	φ̃,∧	φ̃,∧	NOUN
cana-3826	300	16	)	)	PUNCT
cana-3826	300	17	∈	∈	PROPN
cana-3826	300	18	τ̃	τ̃	PROPN
cana-3826	300	19	,	,	PUNCT
cana-3826	300	20	there	there	PRON
cana-3826	300	21	exists	exist	VERB
cana-3826	300	22	(	(	PUNCT
cana-3826	300	23	υ̃,∧	υ̃,∧	PROPN
cana-3826	300	24	)	)	PUNCT
cana-3826	300	25	∈	∈	PROPN
cana-3826	300	26	τ̃	τ̃	PROPN
cana-3826	300	27	such	such	ADJ
cana-3826	301	1	that	that	SCONJ
cana-3826	301	2	𝔪φ	𝔪φ	PROPN
cana-3826	301	3	𝔮	𝔮	SYM
cana-3826	301	4	∈	∈	PROPN
cana-3826	301	5	(	(	PUNCT
cana-3826	301	6	υ̃,∧	υ̃,∧	PROPN
cana-3826	301	7	)	)	PUNCT
cana-3826	301	8	⊆	⊆	NUM
cana-3826	301	9	fhscl(υ̃,∧	fhscl(υ̃,∧	NUM
cana-3826	301	10	)	)	PUNCT
cana-3826	301	11	⊆	⊆	NUM
cana-3826	301	12	(	(	PUNCT
cana-3826	301	13	φ̃,∧	φ̃,∧	NOUN
cana-3826	301	14	)	)	PUNCT
cana-3826	301	15	.	.	PUNCT
cana-3826	302	1	proof	proof	NOUN
cana-3826	302	2	.	.	PUNCT
cana-3826	303	1	let	let	VERB
cana-3826	303	2	(	(	PUNCT
cana-3826	303	3	𝔐	𝔐	NOUN
cana-3826	303	4	,	,	PUNCT
cana-3826	303	5	q	q	NOUN
cana-3826	303	6	,	,	PUNCT
cana-3826	303	7	τ̃	τ̃	PROPN
cana-3826	303	8	)	)	PUNCT
cana-3826	303	9	be	be	VERB
cana-3826	303	10	a	a	DET
cana-3826	303	11	fhsθt3	fhsθt3	ADJ
cana-3826	303	12	-	-	PUNCT
cana-3826	303	13	space	space	NOUN
cana-3826	303	14	and	and	CCONJ
cana-3826	304	1	𝔪φ	𝔪φ	NOUN
cana-3826	304	2	𝔮	𝔮	PROPN
cana-3826	304	3	∈	∈	PROPN
cana-3826	304	4	(	(	PUNCT
cana-3826	304	5	φ̃,∧	φ̃,∧	NOUN
cana-3826	304	6	)	)	PUNCT
cana-3826	304	7	∈	∈	PROPN
cana-3826	304	8	τ̃.	τ̃.	NOUN
cana-3826	304	9	since	since	SCONJ
cana-3826	304	10	(	(	PUNCT
cana-3826	304	11	𝔐	𝔐	PROPN
cana-3826	304	12	,	,	PUNCT
cana-3826	304	13	q	q	NOUN
cana-3826	304	14	,	,	PUNCT
cana-3826	304	15	τ̃	τ̃	PROPN
cana-3826	304	16	)	)	PUNCT
cana-3826	304	17	is	be	AUX
cana-3826	304	18	a	a	DET
cana-3826	304	19	fhsθ	fhsθ	ADJ
cana-3826	304	20	(	(	PUNCT
cana-3826	304	21	resp	resp	NOUN
cana-3826	304	22	.	.	PUNCT
cana-3826	305	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	305	2	&	&	CCONJ
cana-3826	305	3	fhsθ𝒫)t3space	fhsθ𝒫)t3space	PROPN
cana-3826	305	4	for	for	ADP
cana-3826	305	5	the	the	DET
cana-3826	305	6	fhsp	fhsp	ADJ
cana-3826	305	7	𝔪φ	𝔪φ	PROPN
cana-3826	305	8	𝔮	𝔮	PROPN
cana-3826	305	9	and	and	CCONJ
cana-3826	305	10	fhsθcs	fhsθcs	PROPN
cana-3826	305	11	(	(	PUNCT
cana-3826	305	12	φ̃,∧)c	φ̃,∧)c	PROPN
cana-3826	305	13	,	,	PUNCT
cana-3826	305	14	there	there	PRON
cana-3826	305	15	exist	exist	VERB
cana-3826	305	16	(	(	PUNCT
cana-3826	305	17	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	305	18	)	)	PUNCT
cana-3826	305	19	,	,	PUNCT
cana-3826	305	20	(	(	PUNCT
cana-3826	305	21	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	305	22	)	)	PUNCT
cana-3826	305	23	∈	∈	PROPN
cana-3826	305	24	τ̃	τ̃	PROPN
cana-3826	306	1	such	such	ADJ
cana-3826	306	2	that	that	SCONJ
cana-3826	306	3	𝔪φ	𝔪φ	PROPN
cana-3826	306	4	𝔮	𝔮	SYM
cana-3826	306	5	∈	∈	PROPN
cana-3826	306	6	(	(	PUNCT
cana-3826	306	7	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	306	8	)	)	PUNCT
cana-3826	306	9	,	,	PUNCT
cana-3826	306	10	(	(	PUNCT
cana-3826	306	11	φ̃,∧)c	φ̃,∧)c	PRON
cana-3826	306	12	⊆	⊆	NUM
cana-3826	306	13	(	(	PUNCT
cana-3826	306	14	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	306	15	)	)	PUNCT
cana-3826	306	16	and	and	CCONJ
cana-3826	306	17	(	(	PUNCT
cana-3826	306	18	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	306	19	)	)	PUNCT
cana-3826	306	20	∩	∩	NOUN
cana-3826	306	21	(	(	PUNCT
cana-3826	306	22	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	306	23	)	)	PUNCT
cana-3826	306	24	=	=	SYM
cana-3826	306	25	0(𝔐,q	0(𝔐,q	NUM
cana-3826	306	26	)	)	PUNCT
cana-3826	306	27	.	.	PUNCT
cana-3826	307	1	then	then	ADV
cana-3826	307	2	we	we	PRON
cana-3826	307	3	have	have	VERB
cana-3826	307	4	𝔪φ	𝔪φ	NOUN
cana-3826	307	5	𝔮	𝔮	SYM
cana-3826	307	6	∈	∈	PROPN
cana-3826	307	7	(	(	PUNCT
cana-3826	307	8	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	307	9	)	)	PUNCT
cana-3826	307	10	⊆	⊆	NUM
cana-3826	307	11	(	(	PUNCT
cana-3826	307	12	υ̃2,∧)c	υ̃2,∧)c	PROPN
cana-3826	307	13	⊆	⊆	NUM
cana-3826	307	14	(	(	PUNCT
cana-3826	307	15	φ̃,∧	φ̃,∧	NOUN
cana-3826	307	16	)	)	PUNCT
cana-3826	307	17	.	.	PUNCT
cana-3826	308	1	since	since	SCONJ
cana-3826	308	2	(	(	PUNCT
cana-3826	308	3	υ̃2,∧)c	υ̃2,∧)c	PROPN
cana-3826	308	4	is	be	AUX
cana-3826	308	5	a	a	DET
cana-3826	308	6	fhsδcs	fhsδcs	ADJ
cana-3826	308	7	(	(	PUNCT
cana-3826	308	8	resp	resp	NOUN
cana-3826	308	9	.	.	PUNCT
cana-3826	309	1	fhsδ𝒮cs	fhsδ𝒮cs	PROPN
cana-3826	309	2	&	&	CCONJ
cana-3826	309	3	fhsδ𝒫cs	fhsδ𝒫cs	ADJ
cana-3826	309	4	)	)	PUNCT
cana-3826	309	5	,	,	PUNCT
cana-3826	309	6	fhscl(υ̃1,∧	fhscl(υ̃1,∧	PROPN
cana-3826	309	7	)	)	PUNCT
cana-3826	309	8	⊆	⊆	NUM
cana-3826	309	9	(	(	PUNCT
cana-3826	309	10	υ̃2,∧)c	υ̃2,∧)c	PROPN
cana-3826	309	11	.	.	PUNCT
cana-3826	309	12	communications	communication	NOUN
cana-3826	309	13	on	on	ADP
cana-3826	309	14	applied	apply	VERB
cana-3826	309	15	nonlinear	nonlinear	ADJ
cana-3826	309	16	analysis	analysis	NOUN
cana-3826	309	17	issn	issn	NOUN
cana-3826	309	18	:	:	PUNCT
cana-3826	309	19	1074	1074	NUM
cana-3826	309	20	-	-	PUNCT
cana-3826	309	21	133x	133x	NUM
cana-3826	309	22	vol	vol	NOUN
cana-3826	309	23	32	32	NUM
cana-3826	309	24	no	no	NOUN
cana-3826	309	25	.	.	PUNCT
cana-3826	310	1	8s	8s	PROPN
cana-3826	310	2	(	(	PUNCT
cana-3826	310	3	2025	2025	NUM
cana-3826	310	4	)	)	PUNCT
cana-3826	310	5	844	844	NUM
cana-3826	310	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	310	7	conversely	conversely	ADV
cana-3826	310	8	,	,	PUNCT
cana-3826	310	9	let	let	VERB
cana-3826	310	10	𝔪φ	𝔪φ	NOUN
cana-3826	310	11	𝔮	𝔮	X
cana-3826	310	12	∩	∩	X
cana-3826	310	13	(	(	PUNCT
cana-3826	310	14	ω̃,∧	ω̃,∧	NOUN
cana-3826	310	15	)	)	PUNCT
cana-3826	310	16	=	=	SYM
cana-3826	311	1	0(𝔐,q	0(𝔐,q	NUM
cana-3826	311	2	)	)	PUNCT
cana-3826	312	1	and	and	CCONJ
cana-3826	312	2	(	(	PUNCT
cana-3826	312	3	ω̃,∧	ω̃,∧	NOUN
cana-3826	312	4	)	)	PUNCT
cana-3826	312	5	be	be	VERB
cana-3826	312	6	a	a	DET
cana-3826	312	7	fhsθcs	fhsθcs	ADJ
cana-3826	312	8	(	(	PUNCT
cana-3826	312	9	resp	resp	NOUN
cana-3826	312	10	.	.	PUNCT
cana-3826	313	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	313	2	&	&	CCONJ
cana-3826	313	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	313	4	)	)	PUNCT
cana-3826	313	5	.	.	PUNCT
cana-3826	314	1	then	then	ADV
cana-3826	314	2	𝔪φ	𝔪φ	NOUN
cana-3826	314	3	𝔮	𝔮	SYM
cana-3826	314	4	∈	∈	PROPN
cana-3826	314	5	(	(	PUNCT
cana-3826	314	6	ω̃,∧)c	ω̃,∧)c	PROPN
cana-3826	314	7	and	and	CCONJ
cana-3826	314	8	from	from	ADP
cana-3826	314	9	the	the	DET
cana-3826	314	10	condition	condition	NOUN
cana-3826	314	11	of	of	ADP
cana-3826	314	12	the	the	DET
cana-3826	314	13	theorem	theorem	NOUN
cana-3826	314	14	,	,	PUNCT
cana-3826	314	15	we	we	PRON
cana-3826	314	16	have	have	VERB
cana-3826	314	17	𝔪φ	𝔪φ	NOUN
cana-3826	314	18	𝔮	𝔮	X
cana-3826	314	19	∈	∈	PROPN
cana-3826	314	20	(	(	PUNCT
cana-3826	314	21	υ̃,∧	υ̃,∧	PROPN
cana-3826	314	22	)	)	PUNCT
cana-3826	314	23	⊆	⊆	NUM
cana-3826	314	24	fhscl(υ̃,∧	fhscl(υ̃,∧	NOUN
cana-3826	314	25	)	)	PUNCT
cana-3826	315	1	⊆	⊆	X
cana-3826	315	2	(	(	PUNCT
cana-3826	315	3	ω̃,∧)c	ω̃,∧)c	ADJ
cana-3826	315	4	.	.	PUNCT
cana-3826	315	5	thus	thus	ADV
cana-3826	315	6	𝔪φ	𝔪φ	NOUN
cana-3826	315	7	𝔮	𝔮	SYM
cana-3826	315	8	∈	∈	PROPN
cana-3826	315	9	(	(	PUNCT
cana-3826	315	10	υ̃,∧	υ̃,∧	PROPN
cana-3826	315	11	)	)	PUNCT
cana-3826	315	12	,	,	PUNCT
cana-3826	315	13	(	(	PUNCT
cana-3826	315	14	ω̃,∧	ω̃,∧	NOUN
cana-3826	315	15	)	)	PUNCT
cana-3826	315	16	⊆	⊆	NUM
cana-3826	315	17	(	(	PUNCT
cana-3826	315	18	fhscl(υ̃,∧))c	fhscl(υ̃,∧))c	PROPN
cana-3826	315	19	and	and	CCONJ
cana-3826	315	20	(	(	PUNCT
cana-3826	315	21	υ̃,∧	υ̃,∧	PROPN
cana-3826	315	22	)	)	PUNCT
cana-3826	315	23	∩	∩	NOUN
cana-3826	315	24	(	(	PUNCT
cana-3826	315	25	fhscl(υ̃,∧))c	fhscl(υ̃,∧))c	PROPN
cana-3826	315	26	=	=	NOUN
cana-3826	315	27	0(𝔐,q	0(𝔐,q	NUM
cana-3826	315	28	)	)	PUNCT
cana-3826	315	29	.	.	PUNCT
cana-3826	316	1	so	so	ADV
cana-3826	316	2	(	(	PUNCT
cana-3826	316	3	𝔐	𝔐	PROPN
cana-3826	316	4	,	,	PUNCT
cana-3826	316	5	q	q	NOUN
cana-3826	316	6	,	,	PUNCT
cana-3826	316	7	τ̃	τ̃	PROPN
cana-3826	316	8	)	)	PUNCT
cana-3826	316	9	is	be	AUX
cana-3826	316	10	a	a	DET
cana-3826	316	11	fhsδ	fhsδ	NOUN
cana-3826	316	12	(	(	PUNCT
cana-3826	316	13	resp	resp	NOUN
cana-3826	316	14	.	.	PUNCT
cana-3826	317	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	317	2	&	&	CCONJ
cana-3826	317	3	fhsθ𝒫)t3	fhsθ𝒫)t3	NOUN
cana-3826	317	4	-	-	PUNCT
cana-3826	317	5	space	space	NOUN
cana-3826	317	6	definition	definition	NOUN
cana-3826	317	7	3.9	3.9	NUM
cana-3826	317	8	a	a	DET
cana-3826	317	9	fhsts	fhst	NOUN
cana-3826	317	10	(	(	PUNCT
cana-3826	317	11	𝔐	𝔐	NOUN
cana-3826	317	12	,	,	PUNCT
cana-3826	317	13	q	q	NOUN
cana-3826	317	14	,	,	PUNCT
cana-3826	317	15	τ̃	τ̃	PROPN
cana-3826	317	16	)	)	PUNCT
cana-3826	317	17	over	over	ADP
cana-3826	317	18	𝔐	𝔐	PROPN
cana-3826	317	19	is	be	AUX
cana-3826	317	20	called	call	VERB
cana-3826	317	21	a	a	DET
cana-3826	317	22	fhs	fhs	ADJ
cana-3826	317	23	θ	θ	PROPN
cana-3826	317	24	(	(	PUNCT
cana-3826	317	25	resp	resp	NOUN
cana-3826	317	26	.	.	PUNCT
cana-3826	318	1	θ	θ	NOUN
cana-3826	318	2	semi	semi	ADV
cana-3826	318	3	&	&	CCONJ
cana-3826	318	4	θ	θ	PROPN
cana-3826	318	5	pre)-normal	pre)-normal	ADV
cana-3826	318	6	(	(	PUNCT
cana-3826	318	7	briefly	briefly	ADV
cana-3826	318	8	,	,	PUNCT
cana-3826	318	9	fhsθ	fhsθ	NOUN
cana-3826	318	10	(	(	PUNCT
cana-3826	318	11	resp	resp	NOUN
cana-3826	318	12	.	.	PUNCT
cana-3826	319	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	319	2	&	&	CCONJ
cana-3826	319	3	fhsθ𝒫)-normal	fhsθ𝒫)-normal	ADJ
cana-3826	319	4	)	)	PUNCT
cana-3826	319	5	space	space	NOUN
cana-3826	319	6	,	,	PUNCT
cana-3826	319	7	if	if	SCONJ
cana-3826	319	8	for	for	ADP
cana-3826	319	9	every	every	DET
cana-3826	319	10	pair	pair	NOUN
cana-3826	319	11	of	of	ADP
cana-3826	319	12	disjoint	disjoint	PROPN
cana-3826	319	13	fhsθcs	fhsθcs	PROPN
cana-3826	319	14	(	(	PUNCT
cana-3826	319	15	resp	resp	NOUN
cana-3826	319	16	.	.	PUNCT
cana-3826	320	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	320	2	&	&	CCONJ
cana-3826	320	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	320	4	)	)	PUNCT
cana-3826	320	5	’s	’s	PART
cana-3826	320	6	(	(	PUNCT
cana-3826	320	7	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	320	8	)	)	PUNCT
cana-3826	320	9	,	,	PUNCT
cana-3826	320	10	(	(	PUNCT
cana-3826	320	11	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	320	12	)	)	PUNCT
cana-3826	320	13	,	,	PUNCT
cana-3826	320	14	there	there	PRON
cana-3826	320	15	exist	exist	VERB
cana-3826	320	16	disjoint	disjoint	NOUN
cana-3826	320	17	fhsθos	fhsθos	NOUN
cana-3826	320	18	(	(	PUNCT
cana-3826	320	19	resp	resp	NOUN
cana-3826	320	20	.	.	PUNCT
cana-3826	321	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	321	2	&	&	CCONJ
cana-3826	321	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	321	4	)	)	PUNCT
cana-3826	321	5	’s	’s	PART
cana-3826	321	6	(	(	PUNCT
cana-3826	321	7	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	321	8	)	)	PUNCT
cana-3826	321	9	,	,	PUNCT
cana-3826	321	10	(	(	PUNCT
cana-3826	321	11	ω̃2,∧	ω̃2,∧	X
cana-3826	321	12	)	)	PUNCT
cana-3826	321	13	such	such	ADJ
cana-3826	321	14	that	that	SCONJ
cana-3826	321	15	(	(	PUNCT
cana-3826	321	16	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	321	17	)	)	PUNCT
cana-3826	321	18	⊆	⊆	NUM
cana-3826	321	19	(	(	PUNCT
cana-3826	321	20	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	321	21	)	)	PUNCT
cana-3826	321	22	and	and	CCONJ
cana-3826	321	23	(	(	PUNCT
cana-3826	321	24	φ̃2,∧	φ̃2,∧	PROPN
cana-3826	321	25	)	)	PUNCT
cana-3826	321	26	⊆	⊆	NUM
cana-3826	321	27	(	(	PUNCT
cana-3826	321	28	ω̃2,∧	ω̃2,∧	NOUN
cana-3826	321	29	)	)	PUNCT
cana-3826	321	30	.	.	PUNCT
cana-3826	322	1	(	(	PUNCT
cana-3826	322	2	𝔐	𝔐	NOUN
cana-3826	322	3	,	,	PUNCT
cana-3826	322	4	q	q	NOUN
cana-3826	322	5	,	,	PUNCT
cana-3826	322	6	τ̃	τ̃	PROPN
cana-3826	322	7	)	)	PUNCT
cana-3826	322	8	is	be	AUX
cana-3826	322	9	said	say	VERB
cana-3826	322	10	to	to	PART
cana-3826	322	11	be	be	AUX
cana-3826	322	12	a	a	DET
cana-3826	322	13	fhs	fhs	ADJ
cana-3826	322	14	θ	θ	PROPN
cana-3826	322	15	(	(	PUNCT
cana-3826	322	16	resp	resp	NOUN
cana-3826	322	17	.	.	PUNCT
cana-3826	323	1	θ	θ	NOUN
cana-3826	323	2	semi	semi	ADV
cana-3826	323	3	&	&	CCONJ
cana-3826	323	4	θ	θ	PROPN
cana-3826	323	5	pre)t4	pre)t4	NOUN
cana-3826	323	6	-	-	NOUN
cana-3826	323	7	space	space	NOUN
cana-3826	323	8	(	(	PUNCT
cana-3826	323	9	briefly	briefly	ADV
cana-3826	323	10	,	,	PUNCT
cana-3826	323	11	fhsθ	fhsθ	NOUN
cana-3826	323	12	(	(	PUNCT
cana-3826	323	13	resp	resp	NOUN
cana-3826	323	14	.	.	PUNCT
cana-3826	324	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	324	2	&	&	CCONJ
cana-3826	324	3	fhsθ𝒫)t4space	fhsθ𝒫)t4space	NOUN
cana-3826	324	4	)	)	PUNCT
cana-3826	325	1	if	if	SCONJ
cana-3826	325	2	it	it	PRON
cana-3826	325	3	is	be	AUX
cana-3826	325	4	both	both	PRON
cana-3826	325	5	a	a	DET
cana-3826	325	6	fhsθ	fhsθ	ADJ
cana-3826	325	7	(	(	PUNCT
cana-3826	325	8	resp	resp	NOUN
cana-3826	325	9	.	.	PUNCT
cana-3826	326	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	326	2	&	&	CCONJ
cana-3826	326	3	fhsθ𝒫)-normal	fhsθ𝒫)-normal	ADJ
cana-3826	326	4	and	and	CCONJ
cana-3826	326	5	fhsθ	fhsθ	NOUN
cana-3826	326	6	(	(	PUNCT
cana-3826	326	7	resp	resp	NOUN
cana-3826	326	8	.	.	PUNCT
cana-3826	327	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	327	2	&	&	CCONJ
cana-3826	327	3	fhsθ𝒫	fhsθ𝒫	NOUN
cana-3826	327	4	)	)	PUNCT
cana-3826	327	5	t1	t1	NOUN
cana-3826	327	6	-	-	PUNCT
cana-3826	327	7	space	space	NOUN
cana-3826	327	8	.	.	PUNCT
cana-3826	328	1	theorem	theorem	VERB
cana-3826	328	2	3.7	3.7	NUM
cana-3826	328	3	let	let	VERB
cana-3826	328	4	(	(	PUNCT
cana-3826	328	5	𝔐	𝔐	NOUN
cana-3826	328	6	,	,	PUNCT
cana-3826	328	7	q	q	NOUN
cana-3826	328	8	,	,	PUNCT
cana-3826	328	9	τ̃	τ̃	PROPN
cana-3826	328	10	)	)	PUNCT
cana-3826	328	11	be	be	VERB
cana-3826	328	12	a	a	DET
cana-3826	328	13	fhsts	fhst	NOUN
cana-3826	328	14	over	over	ADP
cana-3826	328	15	𝔐.	𝔐.	PROPN
cana-3826	328	16	then	then	ADV
cana-3826	328	17	(	(	PUNCT
cana-3826	328	18	𝔐	𝔐	NOUN
cana-3826	328	19	,	,	PUNCT
cana-3826	328	20	q	q	NOUN
cana-3826	328	21	,	,	PUNCT
cana-3826	328	22	τ̃	τ̃	PROPN
cana-3826	328	23	)	)	PUNCT
cana-3826	328	24	is	be	AUX
cana-3826	328	25	a	a	DET
cana-3826	328	26	fhsθ	fhsθ	ADJ
cana-3826	328	27	(	(	PUNCT
cana-3826	328	28	resp	resp	NOUN
cana-3826	328	29	.	.	PUNCT
cana-3826	329	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	329	2	,	,	PUNCT
cana-3826	329	3	&	&	CCONJ
cana-3826	329	4	fhsθ𝒫)t4	fhsθ𝒫)t4	ADJ
cana-3826	329	5	-	-	ADJ
cana-3826	329	6	space	space	NOUN
cana-3826	329	7	iff	iff	NOUN
cana-3826	329	8	for	for	ADP
cana-3826	329	9	each	each	DET
cana-3826	329	10	fhsθcs	fhsθcs	NOUN
cana-3826	329	11	(	(	PUNCT
cana-3826	329	12	resp	resp	NOUN
cana-3826	329	13	.	.	PUNCT
cana-3826	330	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	330	2	&	&	CCONJ
cana-3826	330	3	fhsθ𝒫cs	fhsθ𝒫cs	PROPN
cana-3826	330	4	)	)	PUNCT
cana-3826	330	5	(	(	PUNCT
cana-3826	330	6	φ̃,∧	φ̃,∧	NOUN
cana-3826	330	7	)	)	PUNCT
cana-3826	330	8	and	and	CCONJ
cana-3826	330	9	fhsθos	fhsθos	NOUN
cana-3826	330	10	(	(	PUNCT
cana-3826	330	11	resp	resp	NOUN
cana-3826	330	12	.	.	PUNCT
cana-3826	331	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	331	2	&	&	CCONJ
cana-3826	331	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	331	4	)	)	PUNCT
cana-3826	331	5	(	(	PUNCT
cana-3826	331	6	ω̃,∧	ω̃,∧	NOUN
cana-3826	331	7	)	)	PUNCT
cana-3826	331	8	with	with	ADP
cana-3826	331	9	(	(	PUNCT
cana-3826	331	10	φ̃,∧	φ̃,∧	NOUN
cana-3826	331	11	)	)	PUNCT
cana-3826	331	12	⊆	⊆	NUM
cana-3826	331	13	(	(	PUNCT
cana-3826	331	14	ω̃,∧	ω̃,∧	NOUN
cana-3826	331	15	)	)	PUNCT
cana-3826	331	16	,	,	PUNCT
cana-3826	331	17	there	there	PRON
cana-3826	331	18	exists	exist	VERB
cana-3826	331	19	a	a	DET
cana-3826	331	20	fhsθos	fhsθos	NOUN
cana-3826	331	21	(	(	PUNCT
cana-3826	331	22	resp	resp	NOUN
cana-3826	331	23	.	.	PUNCT
cana-3826	332	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	332	2	&	&	CCONJ
cana-3826	332	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	332	4	)	)	PUNCT
cana-3826	332	5	(	(	PUNCT
cana-3826	332	6	υ̃,∧	υ̃,∧	PROPN
cana-3826	332	7	)	)	PUNCT
cana-3826	332	8	such	such	ADJ
cana-3826	332	9	that	that	SCONJ
cana-3826	332	10	(	(	PUNCT
cana-3826	332	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	332	12	)	)	PUNCT
cana-3826	332	13	⊆	⊆	NUM
cana-3826	332	14	(	(	PUNCT
cana-3826	332	15	υ̃,∧	υ̃,∧	PROPN
cana-3826	332	16	)	)	PUNCT
cana-3826	332	17	⊆	⊆	NUM
cana-3826	332	18	fhscl(υ̃,∧	fhscl(υ̃,∧	NUM
cana-3826	332	19	)	)	PUNCT
cana-3826	332	20	⊆	⊆	NUM
cana-3826	332	21	(	(	PUNCT
cana-3826	332	22	ω̃,∧	ω̃,∧	NOUN
cana-3826	332	23	)	)	PUNCT
cana-3826	332	24	.	.	PUNCT
cana-3826	333	1	proof	proof	NOUN
cana-3826	333	2	.	.	PUNCT
cana-3826	334	1	let	let	AUX
cana-3826	334	2	(	(	PUNCT
cana-3826	334	3	𝔐	𝔐	NOUN
cana-3826	334	4	,	,	PUNCT
cana-3826	334	5	q	q	NOUN
cana-3826	334	6	,	,	PUNCT
cana-3826	334	7	τ̃	τ̃	PROPN
cana-3826	334	8	)	)	PUNCT
cana-3826	334	9	be	be	VERB
cana-3826	334	10	a	a	DET
cana-3826	334	11	fhsθ	fhsθ	ADJ
cana-3826	334	12	(	(	PUNCT
cana-3826	334	13	resp	resp	NOUN
cana-3826	334	14	.	.	PUNCT
cana-3826	335	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	335	2	,	,	PUNCT
cana-3826	335	3	&	&	CCONJ
cana-3826	335	4	fhsθ𝒫)t4	fhsθ𝒫)t4	NOUN
cana-3826	335	5	-	-	NOUN
cana-3826	335	6	space	space	NOUN
cana-3826	335	7	.	.	PUNCT
cana-3826	336	1	let	let	VERB
cana-3826	336	2	(	(	PUNCT
cana-3826	336	3	φ̃,∧	φ̃,∧	X
cana-3826	336	4	)	)	PUNCT
cana-3826	336	5	be	be	AUX
cana-3826	336	6	a	a	DET
cana-3826	336	7	fhsθcs	fhsθcs	ADJ
cana-3826	336	8	(	(	PUNCT
cana-3826	336	9	resp	resp	NOUN
cana-3826	336	10	.	.	PUNCT
cana-3826	337	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	337	2	&	&	CCONJ
cana-3826	337	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	337	4	)	)	PUNCT
cana-3826	337	5	and	and	CCONJ
cana-3826	337	6	let	let	VERB
cana-3826	337	7	(	(	PUNCT
cana-3826	337	8	φ̃,∧	φ̃,∧	NOUN
cana-3826	337	9	)	)	PUNCT
cana-3826	337	10	⊆	⊆	NUM
cana-3826	337	11	(	(	PUNCT
cana-3826	337	12	ω̃,∧	ω̃,∧	NOUN
cana-3826	337	13	)	)	PUNCT
cana-3826	337	14	∈	∈	PROPN
cana-3826	337	15	τ̃.	τ̃.	NOUN
cana-3826	337	16	then	then	ADV
cana-3826	337	17	(	(	PUNCT
cana-3826	337	18	ω̃,∧)c	ω̃,∧)c	PROPN
cana-3826	337	19	is	be	AUX
cana-3826	337	20	a	a	DET
cana-3826	337	21	fhsθcs	fhsθcs	ADJ
cana-3826	337	22	(	(	PUNCT
cana-3826	337	23	resp	resp	NOUN
cana-3826	337	24	.	.	PUNCT
cana-3826	338	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	338	2	&	&	CCONJ
cana-3826	338	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	338	4	)	)	PUNCT
cana-3826	338	5	and	and	CCONJ
cana-3826	338	6	(	(	PUNCT
cana-3826	338	7	φ̃,∧	φ̃,∧	NOUN
cana-3826	338	8	)	)	PUNCT
cana-3826	338	9	∩	∩	NOUN
cana-3826	338	10	(	(	PUNCT
cana-3826	338	11	ω̃,∧)c	ω̃,∧)c	PROPN
cana-3826	338	12	=	=	SYM
cana-3826	338	13	0(𝔐,q	0(𝔐,q	NUM
cana-3826	338	14	)	)	PUNCT
cana-3826	338	15	.	.	PUNCT
cana-3826	339	1	since	since	SCONJ
cana-3826	339	2	(	(	PUNCT
cana-3826	339	3	𝔐	𝔐	INTJ
cana-3826	339	4	,	,	PUNCT
cana-3826	339	5	q	q	NOUN
cana-3826	339	6	,	,	PUNCT
cana-3826	339	7	τ̃	τ̃	PROPN
cana-3826	339	8	)	)	PUNCT
cana-3826	339	9	is	be	AUX
cana-3826	339	10	a	a	DET
cana-3826	339	11	fhsθ	fhsθ	ADJ
cana-3826	339	12	(	(	PUNCT
cana-3826	339	13	resp	resp	NOUN
cana-3826	339	14	.	.	PUNCT
cana-3826	340	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	340	2	&	&	CCONJ
cana-3826	340	3	fhsθ𝒫)t4space	fhsθ𝒫)t4space	PROPN
cana-3826	340	4	,	,	PUNCT
cana-3826	340	5	there	there	PRON
cana-3826	340	6	exist	exist	VERB
cana-3826	340	7	fhsθos	fhsθos	NOUN
cana-3826	340	8	(	(	PUNCT
cana-3826	340	9	resp	resp	NOUN
cana-3826	340	10	.	.	PUNCT
cana-3826	341	1	fhs𝒮os	fhs𝒮os	PROPN
cana-3826	341	2	fhs𝒫os	fhs𝒫os	PROPN
cana-3826	341	3	,	,	PUNCT
cana-3826	341	4	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	341	5	&	&	CCONJ
cana-3826	341	6	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	341	7	)	)	PUNCT
cana-3826	341	8	’s	’s	PART
cana-3826	341	9	(	(	PUNCT
cana-3826	341	10	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	341	11	)	)	PUNCT
cana-3826	341	12	and	and	CCONJ
cana-3826	341	13	(	(	PUNCT
cana-3826	341	14	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	341	15	)	)	PUNCT
cana-3826	341	16	such	such	ADJ
cana-3826	341	17	that	that	SCONJ
cana-3826	341	18	(	(	PUNCT
cana-3826	341	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	341	20	)	)	PUNCT
cana-3826	341	21	⊆	⊆	NUM
cana-3826	341	22	(	(	PUNCT
cana-3826	341	23	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	341	24	)	)	PUNCT
cana-3826	341	25	,	,	PUNCT
cana-3826	341	26	(	(	PUNCT
cana-3826	341	27	ω̃,∧)c	ω̃,∧)c	PROPN
cana-3826	341	28	⊆	⊆	NUM
cana-3826	341	29	(	(	PUNCT
cana-3826	341	30	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	341	31	)	)	PUNCT
cana-3826	341	32	and	and	CCONJ
cana-3826	341	33	(	(	PUNCT
cana-3826	341	34	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	341	35	)	)	PUNCT
cana-3826	341	36	∩	∩	NOUN
cana-3826	341	37	(	(	PUNCT
cana-3826	341	38	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	341	39	)	)	PUNCT
cana-3826	341	40	=	=	SYM
cana-3826	341	41	0(𝔐,q	0(𝔐,q	NUM
cana-3826	341	42	)	)	PUNCT
cana-3826	341	43	.	.	PUNCT
cana-3826	342	1	thus	thus	ADV
cana-3826	342	2	(	(	PUNCT
cana-3826	342	3	φ̃,∧	φ̃,∧	NOUN
cana-3826	342	4	)	)	PUNCT
cana-3826	342	5	⊆	⊆	NUM
cana-3826	342	6	(	(	PUNCT
cana-3826	342	7	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	342	8	)	)	PUNCT
cana-3826	342	9	⊆	⊆	NUM
cana-3826	342	10	(	(	PUNCT
cana-3826	342	11	υ̃2,∧)c	υ̃2,∧)c	PROPN
cana-3826	342	12	⊆	⊆	NUM
cana-3826	342	13	(	(	PUNCT
cana-3826	342	14	ω̃,∧	ω̃,∧	NOUN
cana-3826	342	15	)	)	PUNCT
cana-3826	342	16	,	,	PUNCT
cana-3826	342	17	(	(	PUNCT
cana-3826	342	18	υ̃2,∧)c	υ̃2,∧)c	PROPN
cana-3826	342	19	is	be	AUX
cana-3826	342	20	a	a	DET
cana-3826	342	21	fhsθcs	fhsθcs	ADJ
cana-3826	342	22	(	(	PUNCT
cana-3826	342	23	resp	resp	NOUN
cana-3826	342	24	.	.	PUNCT
cana-3826	343	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	343	2	&	&	CCONJ
cana-3826	343	3	fhsθ𝒫cs	fhsθ𝒫cs	PROPN
cana-3826	343	4	)	)	PUNCT
cana-3826	343	5	and	and	CCONJ
cana-3826	343	6	(	(	PUNCT
cana-3826	343	7	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	343	8	)	)	PUNCT
cana-3826	343	9	⊆	⊆	NUM
cana-3826	343	10	(	(	PUNCT
cana-3826	343	11	υ̃2,∧)c	υ̃2,∧)c	ADJ
cana-3826	343	12	.	.	PUNCT
cana-3826	344	1	so	so	ADV
cana-3826	344	2	,	,	PUNCT
cana-3826	344	3	(	(	PUNCT
cana-3826	344	4	φ̃,∧	φ̃,∧	NOUN
cana-3826	344	5	)	)	PUNCT
cana-3826	344	6	⊆	⊆	NUM
cana-3826	344	7	(	(	PUNCT
cana-3826	344	8	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	344	9	)	)	PUNCT
cana-3826	344	10	⊆	⊆	NUM
cana-3826	344	11	fhscl(υ̃1,∧	fhscl(υ̃1,∧	NOUN
cana-3826	344	12	)	)	PUNCT
cana-3826	344	13	⊆	⊆	NUM
cana-3826	344	14	(	(	PUNCT
cana-3826	344	15	ω̃,∧	ω̃,∧	NOUN
cana-3826	344	16	)	)	PUNCT
cana-3826	344	17	.	.	PUNCT
cana-3826	345	1	conversely	conversely	ADV
cana-3826	345	2	,	,	PUNCT
cana-3826	345	3	let	let	VERB
cana-3826	345	4	(	(	PUNCT
cana-3826	345	5	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	345	6	)	)	PUNCT
cana-3826	345	7	,	,	PUNCT
cana-3826	345	8	(	(	PUNCT
cana-3826	345	9	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	345	10	)	)	PUNCT
cana-3826	345	11	be	be	VERB
cana-3826	345	12	two	two	NUM
cana-3826	345	13	disjoint	disjoint	ADJ
cana-3826	345	14	fhsθcs	fhsθcs	NOUN
cana-3826	345	15	(	(	PUNCT
cana-3826	345	16	resp	resp	NOUN
cana-3826	345	17	.	.	PUNCT
cana-3826	346	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	346	2	&	&	CCONJ
cana-3826	346	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	346	4	)	)	PUNCT
cana-3826	346	5	’s	’s	PART
cana-3826	346	6	.	.	PUNCT
cana-3826	347	1	then	then	ADV
cana-3826	347	2	(	(	PUNCT
cana-3826	347	3	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	347	4	)	)	PUNCT
cana-3826	347	5	⊆	⊆	NUM
cana-3826	347	6	(	(	PUNCT
cana-3826	347	7	φ̃2,∧)c	φ̃2,∧)c	NOUN
cana-3826	347	8	.	.	NOUN
cana-3826	347	9	from	from	ADP
cana-3826	347	10	the	the	DET
cana-3826	347	11	condition	condition	NOUN
cana-3826	347	12	of	of	ADP
cana-3826	347	13	theorem	theorem	NOUN
cana-3826	347	14	,	,	PUNCT
cana-3826	347	15	there	there	PRON
cana-3826	347	16	exists	exist	VERB
cana-3826	347	17	a	a	DET
cana-3826	347	18	fhsθos	fhsθos	NOUN
cana-3826	347	19	(	(	PUNCT
cana-3826	347	20	resp	resp	NOUN
cana-3826	347	21	.	.	PUNCT
cana-3826	348	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	348	2	&	&	CCONJ
cana-3826	348	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	348	4	)	)	PUNCT
cana-3826	348	5	(	(	PUNCT
cana-3826	348	6	υ̃,∧	υ̃,∧	PROPN
cana-3826	348	7	)	)	PUNCT
cana-3826	348	8	such	such	ADJ
cana-3826	348	9	that	that	SCONJ
cana-3826	348	10	(	(	PUNCT
cana-3826	348	11	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	348	12	)	)	PUNCT
cana-3826	348	13	⊆	⊆	NUM
cana-3826	348	14	(	(	PUNCT
cana-3826	348	15	υ̃,∧	υ̃,∧	PROPN
cana-3826	348	16	)	)	PUNCT
cana-3826	348	17	⊆	⊆	NUM
cana-3826	348	18	fhscl(υ̃1,∧	fhscl(υ̃1,∧	NOUN
cana-3826	348	19	)	)	PUNCT
cana-3826	348	20	⊆	⊆	NUM
cana-3826	348	21	(	(	PUNCT
cana-3826	348	22	φ̃2,∧)c	φ̃2,∧)c	NOUN
cana-3826	348	23	.	.	PUNCT
cana-3826	349	1	thus	thus	ADV
cana-3826	349	2	(	(	PUNCT
cana-3826	349	3	υ̃,∧	υ̃,∧	PROPN
cana-3826	349	4	)	)	PUNCT
cana-3826	349	5	,	,	PUNCT
cana-3826	349	6	(	(	PUNCT
cana-3826	349	7	fhscl(υ̃,∧))c	fhscl(υ̃,∧))c	PROPN
cana-3826	349	8	are	be	AUX
cana-3826	349	9	fhsθos	fhsθos	ADJ
cana-3826	349	10	(	(	PUNCT
cana-3826	349	11	resp	resp	NOUN
cana-3826	349	12	.	.	PUNCT
cana-3826	350	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	350	2	&	&	CCONJ
cana-3826	350	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	350	4	)	)	PUNCT
cana-3826	350	5	’s	’	VERB
cana-3826	350	6	and	and	CCONJ
cana-3826	350	7	(	(	PUNCT
cana-3826	350	8	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	350	9	)	)	PUNCT
cana-3826	350	10	⊆	⊆	NUM
cana-3826	350	11	(	(	PUNCT
cana-3826	350	12	υ̃,∧	υ̃,∧	PROPN
cana-3826	350	13	)	)	PUNCT
cana-3826	350	14	,	,	PUNCT
cana-3826	350	15	(	(	PUNCT
cana-3826	350	16	φ̃2,∧	φ̃2,∧	X
cana-3826	350	17	)	)	PUNCT
cana-3826	350	18	⊆	⊆	NUM
cana-3826	350	19	(	(	PUNCT
cana-3826	350	20	fhscl(υ̃,∧))c	fhscl(υ̃,∧))c	PROPN
cana-3826	350	21	and	and	CCONJ
cana-3826	350	22	(	(	PUNCT
cana-3826	350	23	υ̃,∧	υ̃,∧	PROPN
cana-3826	350	24	)	)	PUNCT
cana-3826	350	25	∩	∩	NOUN
cana-3826	350	26	(	(	PUNCT
cana-3826	350	27	fhscl(υ̃,∧))c	fhscl(υ̃,∧))c	PROPN
cana-3826	350	28	=	=	NOUN
cana-3826	350	29	0(𝔐,q	0(𝔐,q	NUM
cana-3826	350	30	)	)	PUNCT
cana-3826	350	31	.	.	PUNCT
cana-3826	351	1	so	so	ADV
cana-3826	351	2	(	(	PUNCT
cana-3826	351	3	𝔐	𝔐	PROPN
cana-3826	351	4	,	,	PUNCT
cana-3826	351	5	q	q	NOUN
cana-3826	351	6	,	,	PUNCT
cana-3826	351	7	τ̃	τ̃	PROPN
cana-3826	351	8	)	)	PUNCT
cana-3826	351	9	is	be	AUX
cana-3826	351	10	a	a	DET
cana-3826	351	11	fhsθ	fhsθ	ADJ
cana-3826	351	12	(	(	PUNCT
cana-3826	351	13	resp	resp	NOUN
cana-3826	351	14	.	.	PUNCT
cana-3826	352	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	352	2	,	,	PUNCT
cana-3826	352	3	&	&	CCONJ
cana-3826	352	4	fhsθ𝒫)t4	fhsθ𝒫)t4	ADJ
cana-3826	352	5	-	-	ADJ
cana-3826	352	6	space	space	NOUN
cana-3826	352	7	theorem	theorem	NOUN
cana-3826	352	8	3.8	3.8	NUM
cana-3826	352	9	let	let	VERB
cana-3826	352	10	(	(	PUNCT
cana-3826	352	11	𝔐	𝔐	NOUN
cana-3826	352	12	,	,	PUNCT
cana-3826	352	13	q	q	NOUN
cana-3826	352	14	,	,	PUNCT
cana-3826	352	15	τ̃	τ̃	PROPN
cana-3826	352	16	)	)	PUNCT
cana-3826	352	17	be	be	VERB
cana-3826	352	18	a	a	DET
cana-3826	352	19	fhsts	fhst	NOUN
cana-3826	352	20	over	over	ADP
cana-3826	352	21	𝔐.	𝔐.	PROPN
cana-3826	352	22	if	if	SCONJ
cana-3826	352	23	(	(	PUNCT
cana-3826	352	24	𝔐	𝔐	NOUN
cana-3826	352	25	,	,	PUNCT
cana-3826	352	26	q	q	NOUN
cana-3826	352	27	,	,	PUNCT
cana-3826	352	28	τ̃	τ̃	PROPN
cana-3826	352	29	)	)	PUNCT
cana-3826	352	30	is	be	AUX
cana-3826	352	31	a	a	DET
cana-3826	352	32	fhsθ	fhsθ	ADJ
cana-3826	352	33	(	(	PUNCT
cana-3826	352	34	resp	resp	NOUN
cana-3826	352	35	.	.	PUNCT
cana-3826	353	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	353	2	&	&	CCONJ
cana-3826	353	3	fhsθ𝒫)ti	fhsθ𝒫)ti	NOUN
cana-3826	353	4	-	-	PUNCT
cana-3826	353	5	space	space	NOUN
cana-3826	353	6	,	,	PUNCT
cana-3826	353	7	then	then	ADV
cana-3826	353	8	the	the	DET
cana-3826	353	9	fhsts	fhst	NOUN
cana-3826	353	10	(	(	PUNCT
cana-3826	353	11	(	(	PUNCT
cana-3826	353	12	φ̃,∧	φ̃,∧	NOUN
cana-3826	353	13	)	)	PUNCT
cana-3826	353	14	,	,	PUNCT
cana-3826	353	15	τ̃(φ̃,∧	τ̃(φ̃,∧	NUM
cana-3826	353	16	)	)	PUNCT
cana-3826	353	17	,	,	PUNCT
cana-3826	353	18	q	q	X
cana-3826	353	19	)	)	PUNCT
cana-3826	353	20	is	be	AUX
cana-3826	353	21	a	a	DET
cana-3826	353	22	fhsθ	fhsθ	ADJ
cana-3826	353	23	(	(	PUNCT
cana-3826	353	24	resp	resp	NOUN
cana-3826	353	25	.	.	PUNCT
cana-3826	354	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	354	2	&	&	CCONJ
cana-3826	354	3	fhsθ𝒫)tispace	fhsθ𝒫)tispace	NOUN
cana-3826	354	4	for	for	ADP
cana-3826	354	5	i	i	PRON
cana-3826	354	6	=	=	NOUN
cana-3826	354	7	0,1,2,3	0,1,2,3	NOUN
cana-3826	354	8	.	.	PUNCT
cana-3826	355	1	proof	proof	NOUN
cana-3826	355	2	.	.	PUNCT
cana-3826	356	1	let	let	VERB
cana-3826	356	2	𝔪φ	𝔪φ	NOUN
cana-3826	356	3	q	q	VERB
cana-3826	356	4	,	,	PUNCT
cana-3826	356	5	𝔫φ′	𝔫φ′	NOUN
cana-3826	356	6	q′	q′	NOUN
cana-3826	356	7	∈	∈	PROPN
cana-3826	356	8	(	(	PUNCT
cana-3826	356	9	(	(	PUNCT
cana-3826	356	10	φ̃,∧	φ̃,∧	NOUN
cana-3826	356	11	)	)	PUNCT
cana-3826	356	12	,	,	PUNCT
cana-3826	356	13	τ̃(φ̃,∧	τ̃(φ̃,∧	NUM
cana-3826	356	14	)	)	PUNCT
cana-3826	356	15	,	,	PUNCT
cana-3826	356	16	q	q	X
cana-3826	356	17	)	)	PUNCT
cana-3826	356	18	such	such	ADJ
cana-3826	356	19	that	that	DET
cana-3826	356	20	𝔪φ	𝔪φ	NOUN
cana-3826	356	21	q	q	NOUN
cana-3826	356	22	∩	∩	ADJ
cana-3826	356	23	𝔫φ′	𝔫φ′	NOUN
cana-3826	356	24	q′	q′	NOUN
cana-3826	356	25	=	=	SYM
cana-3826	356	26	0(𝔐,q	0(𝔐,q	NUM
cana-3826	356	27	)	)	PUNCT
cana-3826	356	28	.	.	PUNCT
cana-3826	357	1	then	then	ADV
cana-3826	357	2	there	there	PRON
cana-3826	357	3	exist	exist	VERB
cana-3826	357	4	fhsθos	fhsθos	NOUN
cana-3826	357	5	(	(	PUNCT
cana-3826	357	6	resp	resp	NOUN
cana-3826	357	7	.	.	PUNCT
cana-3826	358	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	358	2	&	&	CCONJ
cana-3826	358	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	358	4	)	)	PUNCT
cana-3826	358	5	’s	’s	PART
cana-3826	358	6	(	(	PUNCT
cana-3826	358	7	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	358	8	)	)	PUNCT
cana-3826	358	9	and	and	CCONJ
cana-3826	358	10	(	(	PUNCT
cana-3826	358	11	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	358	12	)	)	PUNCT
cana-3826	358	13	satisfying	satisfy	VERB
cana-3826	358	14	the	the	DET
cana-3826	358	15	conditions	condition	NOUN
cana-3826	358	16	of	of	ADP
cana-3826	358	17	fhsθ	fhsθ	ADJ
cana-3826	358	18	(	(	PUNCT
cana-3826	358	19	resp	resp	NOUN
cana-3826	358	20	.	.	PUNCT
cana-3826	359	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	359	2	&	&	CCONJ
cana-3826	359	3	fhsθ𝒫)ti	fhsθ𝒫)ti	NOUN
cana-3826	359	4	-	-	PUNCT
cana-3826	359	5	space	space	NOUN
cana-3826	359	6	such	such	ADJ
cana-3826	359	7	that	that	PRON
cana-3826	359	8	𝔪φ	𝔪φ	NOUN
cana-3826	359	9	q	q	NOUN
cana-3826	359	10	∈	∈	PROPN
cana-3826	359	11	(	(	PUNCT
cana-3826	359	12	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	359	13	)	)	PUNCT
cana-3826	359	14	,	,	PUNCT
cana-3826	359	15	𝔫φ′	𝔫φ′	NOUN
cana-3826	359	16	q′	q′	NOUN
cana-3826	359	17	∈	∈	PROPN
cana-3826	359	18	(	(	PUNCT
cana-3826	359	19	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	359	20	)	)	PUNCT
cana-3826	359	21	.	.	PUNCT
cana-3826	360	1	thus	thus	ADV
cana-3826	360	2	,	,	PUNCT
cana-3826	360	3	𝔪φ	𝔪φ	NOUN
cana-3826	360	4	q	q	NOUN
cana-3826	360	5	∈	∈	PROPN
cana-3826	360	6	(	(	PUNCT
cana-3826	360	7	φ̃1,∧	φ̃1,∧	NOUN
cana-3826	360	8	)	)	PUNCT
cana-3826	360	9	∩	∩	NOUN
cana-3826	360	10	(	(	PUNCT
cana-3826	360	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	360	12	)	)	PUNCT
cana-3826	360	13	and	and	CCONJ
cana-3826	360	14	𝔫φ′	𝔫φ′	VERB
cana-3826	360	15	q′	q′	NOUN
cana-3826	360	16	∈	∈	PROPN
cana-3826	360	17	(	(	PUNCT
cana-3826	360	18	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	360	19	)	)	PUNCT
cana-3826	360	20	∩	∩	NOUN
cana-3826	360	21	(	(	PUNCT
cana-3826	360	22	φ̃,∧	φ̃,∧	NOUN
cana-3826	360	23	)	)	PUNCT
cana-3826	360	24	.	.	PUNCT
cana-3826	361	1	also	also	ADV
cana-3826	361	2	,	,	PUNCT
cana-3826	361	3	the	the	DET
cana-3826	361	4	fhsθos	fhsθos	NOUN
cana-3826	361	5	(	(	PUNCT
cana-3826	361	6	resp	resp	NOUN
cana-3826	361	7	.	.	PUNCT
cana-3826	362	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	362	2	&	&	CCONJ
cana-3826	362	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	362	4	)	)	PUNCT
cana-3826	362	5	’s	’s	PART
cana-3826	362	6	(	(	PUNCT
cana-3826	362	7	φ̃1,∧	φ̃1,∧	PROPN
cana-3826	362	8	)	)	PUNCT
cana-3826	362	9	∩	∩	NOUN
cana-3826	362	10	(	(	PUNCT
cana-3826	362	11	φ̃,∧	φ̃,∧	NOUN
cana-3826	362	12	)	)	PUNCT
cana-3826	362	13	,	,	PUNCT
cana-3826	362	14	(	(	PUNCT
cana-3826	362	15	φ̃2,∧	φ̃2,∧	NOUN
cana-3826	362	16	)	)	PUNCT
cana-3826	362	17	∩	∩	NOUN
cana-3826	362	18	(	(	PUNCT
cana-3826	362	19	φ̃,∧	φ̃,∧	NOUN
cana-3826	362	20	)	)	PUNCT
cana-3826	362	21	in	in	ADP
cana-3826	362	22	τ̃(φ̃,∧	τ̃(φ̃,∧	NUM
cana-3826	362	23	)	)	PUNCT
cana-3826	362	24	satisfy	satisfy	VERB
cana-3826	362	25	the	the	DET
cana-3826	362	26	conditions	condition	NOUN
cana-3826	362	27	of	of	ADP
cana-3826	362	28	fhsθ	fhsθ	ADJ
cana-3826	362	29	(	(	PUNCT
cana-3826	362	30	resp	resp	NOUN
cana-3826	362	31	.	.	PUNCT
cana-3826	363	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	363	2	&	&	CCONJ
cana-3826	363	3	fhsθ𝒫	fhsθ𝒫	NOUN
cana-3826	363	4	)	)	PUNCT
cana-3826	363	5	ti	ti	NOUN
cana-3826	363	6	-	-	NOUN
cana-3826	363	7	space	space	NOUN
cana-3826	363	8	for	for	ADP
cana-3826	363	9	i	i	PRON
cana-3826	363	10	=	=	NOUN
cana-3826	363	11	0,1,2,3	0,1,2,3	NUM
cana-3826	363	12	.	.	PUNCT
cana-3826	364	1	communications	communication	NOUN
cana-3826	364	2	on	on	ADP
cana-3826	364	3	applied	apply	VERB
cana-3826	364	4	nonlinear	nonlinear	ADJ
cana-3826	364	5	analysis	analysis	NOUN
cana-3826	364	6	issn	issn	NOUN
cana-3826	364	7	:	:	PUNCT
cana-3826	364	8	1074	1074	NUM
cana-3826	364	9	-	-	PUNCT
cana-3826	364	10	133x	133x	NUM
cana-3826	364	11	vol	vol	NOUN
cana-3826	364	12	32	32	NUM
cana-3826	364	13	no	no	NOUN
cana-3826	364	14	.	.	PUNCT
cana-3826	365	1	8s	8s	PROPN
cana-3826	365	2	(	(	PUNCT
cana-3826	365	3	2025	2025	NUM
cana-3826	365	4	)	)	PUNCT
cana-3826	365	5	845	845	NUM
cana-3826	365	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	365	7	theorem	theorem	VERB
cana-3826	365	8	3.9	3.9	NUM
cana-3826	365	9	let	let	NOUN
cana-3826	365	10	(	(	PUNCT
cana-3826	365	11	𝔐	𝔐	NOUN
cana-3826	365	12	,	,	PUNCT
cana-3826	365	13	q	q	NOUN
cana-3826	365	14	,	,	PUNCT
cana-3826	365	15	τ̃	τ̃	PROPN
cana-3826	365	16	)	)	PUNCT
cana-3826	365	17	be	be	VERB
cana-3826	365	18	a	a	DET
cana-3826	365	19	fhsts	fhst	NOUN
cana-3826	365	20	over	over	ADP
cana-3826	365	21	𝔐.	𝔐.	PROPN
cana-3826	365	22	if	if	SCONJ
cana-3826	365	23	(	(	PUNCT
cana-3826	365	24	𝔐	𝔐	NOUN
cana-3826	365	25	,	,	PUNCT
cana-3826	365	26	q	q	NOUN
cana-3826	365	27	,	,	PUNCT
cana-3826	365	28	τ̃	τ̃	PROPN
cana-3826	365	29	)	)	PUNCT
cana-3826	365	30	is	be	AUX
cana-3826	365	31	a	a	DET
cana-3826	365	32	fhsθ	fhsθ	NOUN
cana-3826	365	33	(	(	PUNCT
cana-3826	365	34	resp.fhysθ𝒮	resp.fhysθ𝒮	PROPN
cana-3826	365	35	&	&	CCONJ
cana-3826	365	36	fhsθ𝒫)t4	fhsθ𝒫)t4	NOUN
cana-3826	365	37	-	-	NOUN
cana-3826	365	38	space	space	NOUN
cana-3826	365	39	and	and	CCONJ
cana-3826	365	40	(	(	PUNCT
cana-3826	365	41	ω̃,∧	ω̃,∧	NOUN
cana-3826	365	42	)	)	PUNCT
cana-3826	365	43	is	be	AUX
cana-3826	365	44	a	a	DET
cana-3826	365	45	fhsθcs	fhsθcs	ADJ
cana-3826	365	46	(	(	PUNCT
cana-3826	365	47	resp	resp	NOUN
cana-3826	365	48	.	.	PUNCT
cana-3826	366	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	366	2	&	&	CCONJ
cana-3826	366	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	366	4	)	)	PUNCT
cana-3826	366	5	in	in	ADP
cana-3826	366	6	(	(	PUNCT
cana-3826	366	7	𝔐	𝔐	PROPN
cana-3826	366	8	,	,	PUNCT
cana-3826	366	9	q	q	NOUN
cana-3826	366	10	,	,	PUNCT
cana-3826	366	11	τ̃	τ̃	PROPN
cana-3826	366	12	)	)	PUNCT
cana-3826	366	13	,	,	PUNCT
cana-3826	366	14	then	then	ADV
cana-3826	366	15	(	(	PUNCT
cana-3826	366	16	(	(	PUNCT
cana-3826	366	17	ω̃,∧	ω̃,∧	NOUN
cana-3826	366	18	)	)	PUNCT
cana-3826	366	19	,	,	PUNCT
cana-3826	366	20	τ̃(ω̃,∧	τ̃(ω̃,∧	NUM
cana-3826	366	21	)	)	PUNCT
cana-3826	366	22	,	,	PUNCT
cana-3826	366	23	q	q	X
cana-3826	366	24	)	)	PUNCT
cana-3826	366	25	is	be	AUX
cana-3826	366	26	a	a	DET
cana-3826	366	27	fhsθ	fhsθ	ADJ
cana-3826	366	28	(	(	PUNCT
cana-3826	366	29	resp	resp	NOUN
cana-3826	366	30	.	.	PUNCT
cana-3826	367	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	367	2	&	&	CCONJ
cana-3826	367	3	fhsθ𝒫)t4	fhsθ𝒫)t4	NOUN
cana-3826	367	4	-	-	NOUN
cana-3826	367	5	space	space	NOUN
cana-3826	367	6	.	.	PUNCT
cana-3826	368	1	proof	proof	NOUN
cana-3826	368	2	.	.	PUNCT
cana-3826	369	1	let	let	AUX
cana-3826	369	2	(	(	PUNCT
cana-3826	369	3	𝔐	𝔐	NOUN
cana-3826	369	4	,	,	PUNCT
cana-3826	369	5	q	q	NOUN
cana-3826	369	6	,	,	PUNCT
cana-3826	369	7	τ̃	τ̃	PROPN
cana-3826	369	8	)	)	PUNCT
cana-3826	369	9	be	be	VERB
cana-3826	369	10	a	a	DET
cana-3826	369	11	fhsθ	fhsθ	ADJ
cana-3826	369	12	(	(	PUNCT
cana-3826	369	13	resp	resp	NOUN
cana-3826	369	14	.	.	PUNCT
cana-3826	370	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	370	2	&	&	CCONJ
cana-3826	370	3	fhsθ𝒫)t4	fhsθ𝒫)t4	NOUN
cana-3826	370	4	-	-	NOUN
cana-3826	370	5	space	space	NOUN
cana-3826	370	6	and	and	CCONJ
cana-3826	370	7	(	(	PUNCT
cana-3826	370	8	ω̃,∧	ω̃,∧	NOUN
cana-3826	370	9	)	)	PUNCT
cana-3826	370	10	be	be	VERB
cana-3826	370	11	a	a	DET
cana-3826	370	12	fhsθcs	fhsθcs	ADJ
cana-3826	370	13	(	(	PUNCT
cana-3826	370	14	resp	resp	NOUN
cana-3826	370	15	.	.	PUNCT
cana-3826	371	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	371	2	&	&	CCONJ
cana-3826	371	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	371	4	)	)	PUNCT
cana-3826	371	5	in	in	ADP
cana-3826	371	6	(	(	PUNCT
cana-3826	371	7	𝔐	𝔐	PROPN
cana-3826	371	8	,	,	PUNCT
cana-3826	371	9	q	q	NOUN
cana-3826	371	10	,	,	PUNCT
cana-3826	371	11	τ̃	τ̃	PROPN
cana-3826	371	12	)	)	PUNCT
cana-3826	371	13	.	.	PUNCT
cana-3826	372	1	let	let	AUX
cana-3826	372	2	(	(	PUNCT
cana-3826	372	3	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	372	4	)	)	PUNCT
cana-3826	372	5	and	and	CCONJ
cana-3826	372	6	(	(	PUNCT
cana-3826	372	7	ω̃2,∧	ω̃2,∧	NOUN
cana-3826	372	8	)	)	PUNCT
cana-3826	372	9	be	be	VERB
cana-3826	372	10	two	two	NUM
cana-3826	372	11	fhsθcs	fhsθcs	ADJ
cana-3826	372	12	(	(	PUNCT
cana-3826	372	13	resp	resp	NOUN
cana-3826	372	14	.	.	PUNCT
cana-3826	373	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	373	2	&	&	CCONJ
cana-3826	373	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	373	4	)	)	PUNCT
cana-3826	373	5	’s	’s	NOUN
cana-3826	373	6	in	in	ADP
cana-3826	373	7	(	(	PUNCT
cana-3826	373	8	(	(	PUNCT
cana-3826	373	9	ω̃,∧	ω̃,∧	NOUN
cana-3826	373	10	)	)	PUNCT
cana-3826	373	11	,	,	PUNCT
cana-3826	373	12	τ̃(ω̃,∧	τ̃(ω̃,∧	NUM
cana-3826	373	13	)	)	PUNCT
cana-3826	373	14	,	,	PUNCT
cana-3826	373	15	q	q	X
cana-3826	373	16	)	)	PUNCT
cana-3826	373	17	such	such	ADJ
cana-3826	373	18	that	that	SCONJ
cana-3826	373	19	(	(	PUNCT
cana-3826	373	20	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	373	21	)	)	PUNCT
cana-3826	373	22	∩	∩	NOUN
cana-3826	373	23	(	(	PUNCT
cana-3826	373	24	ω̃2,∧	ω̃2,∧	X
cana-3826	373	25	)	)	PUNCT
cana-3826	373	26	=	=	SYM
cana-3826	373	27	0(𝔐,q	0(𝔐,q	NUM
cana-3826	373	28	)	)	PUNCT
cana-3826	373	29	.	.	PUNCT
cana-3826	374	1	when	when	SCONJ
cana-3826	374	2	(	(	PUNCT
cana-3826	374	3	ω̃,∧	ω̃,∧	NOUN
cana-3826	374	4	)	)	PUNCT
cana-3826	374	5	is	be	AUX
cana-3826	374	6	a	a	DET
cana-3826	374	7	fhsθcs	fhsθcs	ADJ
cana-3826	374	8	(	(	PUNCT
cana-3826	374	9	resp	resp	NOUN
cana-3826	374	10	.	.	PUNCT
cana-3826	375	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	375	2	&	&	CCONJ
cana-3826	375	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	375	4	)	)	PUNCT
cana-3826	375	5	in	in	ADP
cana-3826	375	6	(	(	PUNCT
cana-3826	375	7	𝔐	𝔐	PROPN
cana-3826	375	8	,	,	PUNCT
cana-3826	375	9	q	q	NOUN
cana-3826	375	10	,	,	PUNCT
cana-3826	375	11	τ̃	τ̃	PROPN
cana-3826	375	12	)	)	PUNCT
cana-3826	375	13	,	,	PUNCT
cana-3826	375	14	(	(	PUNCT
cana-3826	375	15	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	375	16	)	)	PUNCT
cana-3826	375	17	and	and	CCONJ
cana-3826	375	18	(	(	PUNCT
cana-3826	375	19	ω̃2,∧	ω̃2,∧	X
cana-3826	375	20	)	)	PUNCT
cana-3826	375	21	are	be	AUX
cana-3826	375	22	fhsθcs	fhsθcs	ADJ
cana-3826	375	23	(	(	PUNCT
cana-3826	375	24	resp	resp	NOUN
cana-3826	375	25	.	.	PUNCT
cana-3826	376	1	fhsθ𝒮cs	fhsθ𝒮cs	PROPN
cana-3826	376	2	&	&	CCONJ
cana-3826	376	3	fhsθ𝒫cs	fhsθ𝒫cs	NOUN
cana-3826	376	4	)	)	PUNCT
cana-3826	376	5	’s	’s	NOUN
cana-3826	376	6	in	in	ADP
cana-3826	376	7	(	(	PUNCT
cana-3826	376	8	𝔐	𝔐	PROPN
cana-3826	376	9	,	,	PUNCT
cana-3826	376	10	q	q	NOUN
cana-3826	376	11	,	,	PUNCT
cana-3826	376	12	τ̃	τ̃	PROPN
cana-3826	376	13	)	)	PUNCT
cana-3826	376	14	.	.	PUNCT
cana-3826	377	1	since	since	SCONJ
cana-3826	377	2	(	(	PUNCT
cana-3826	377	3	𝔐	𝔐	INTJ
cana-3826	377	4	,	,	PUNCT
cana-3826	377	5	q	q	NOUN
cana-3826	377	6	,	,	PUNCT
cana-3826	377	7	τ̃	τ̃	PROPN
cana-3826	377	8	)	)	PUNCT
cana-3826	377	9	is	be	AUX
cana-3826	377	10	a	a	DET
cana-3826	377	11	fhsθ	fhsθ	ADJ
cana-3826	377	12	(	(	PUNCT
cana-3826	377	13	resp	resp	NOUN
cana-3826	377	14	.	.	PUNCT
cana-3826	378	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	378	2	&	&	CCONJ
cana-3826	378	3	fhsθ𝒫)t4space	fhsθ𝒫)t4space	PROPN
cana-3826	378	4	,	,	PUNCT
cana-3826	378	5	there	there	PRON
cana-3826	378	6	exist	exist	VERB
cana-3826	378	7	fhsθos	fhsθos	NOUN
cana-3826	378	8	(	(	PUNCT
cana-3826	378	9	resp	resp	NOUN
cana-3826	378	10	.	.	PUNCT
cana-3826	379	1	fhsθ𝒮os	fhsθ𝒮os	PROPN
cana-3826	379	2	&	&	CCONJ
cana-3826	379	3	fhsθ𝒫os	fhsθ𝒫os	PROPN
cana-3826	379	4	)	)	PUNCT
cana-3826	379	5	’s	’s	PART
cana-3826	379	6	(	(	PUNCT
cana-3826	379	7	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	379	8	)	)	PUNCT
cana-3826	379	9	and	and	CCONJ
cana-3826	379	10	(	(	PUNCT
cana-3826	379	11	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	379	12	)	)	PUNCT
cana-3826	379	13	such	such	ADJ
cana-3826	379	14	that	that	SCONJ
cana-3826	379	15	(	(	PUNCT
cana-3826	379	16	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	379	17	)	)	PUNCT
cana-3826	379	18	⊆	⊆	NUM
cana-3826	379	19	(	(	PUNCT
cana-3826	379	20	υ̃1,∧	υ̃1,∧	PROPN
cana-3826	379	21	)	)	PUNCT
cana-3826	379	22	,	,	PUNCT
cana-3826	379	23	(	(	PUNCT
cana-3826	379	24	ω̃2,∧	ω̃2,∧	X
cana-3826	379	25	)	)	PUNCT
cana-3826	379	26	⊆	⊆	NUM
cana-3826	379	27	(	(	PUNCT
cana-3826	379	28	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	379	29	)	)	PUNCT
cana-3826	379	30	and	and	CCONJ
cana-3826	379	31	(	(	PUNCT
cana-3826	379	32	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	379	33	)	)	PUNCT
cana-3826	379	34	∩	∩	NOUN
cana-3826	379	35	(	(	PUNCT
cana-3826	379	36	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	379	37	)	)	PUNCT
cana-3826	379	38	=	=	SYM
cana-3826	379	39	0(𝔐,q	0(𝔐,q	NUM
cana-3826	379	40	)	)	PUNCT
cana-3826	379	41	.	.	PUNCT
cana-3826	380	1	then	then	ADV
cana-3826	380	2	(	(	PUNCT
cana-3826	380	3	ω̃1,∧	ω̃1,∧	PROPN
cana-3826	380	4	)	)	PUNCT
cana-3826	380	5	=	=	PRON
cana-3826	380	6	(	(	PUNCT
cana-3826	380	7	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	380	8	)	)	PUNCT
cana-3826	380	9	∩	∩	NOUN
cana-3826	380	10	(	(	PUNCT
cana-3826	380	11	ω̃,∧	ω̃,∧	NOUN
cana-3826	380	12	)	)	PUNCT
cana-3826	380	13	,	,	PUNCT
cana-3826	380	14	(	(	PUNCT
cana-3826	380	15	ω̃2,∧	ω̃2,∧	X
cana-3826	380	16	)	)	PUNCT
cana-3826	380	17	=	=	PUNCT
cana-3826	380	18	(	(	PUNCT
cana-3826	380	19	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	380	20	)	)	PUNCT
cana-3826	380	21	∩	∩	NOUN
cana-3826	380	22	(	(	PUNCT
cana-3826	380	23	ω̃,∧	ω̃,∧	NOUN
cana-3826	380	24	)	)	PUNCT
cana-3826	380	25	and	and	CCONJ
cana-3826	380	26	(	(	PUNCT
cana-3826	380	27	(	(	PUNCT
cana-3826	380	28	υ̃1,∧	υ̃1,∧	NOUN
cana-3826	380	29	)	)	PUNCT
cana-3826	380	30	∩	∩	NOUN
cana-3826	380	31	(	(	PUNCT
cana-3826	380	32	ω̃,∧	ω̃,∧	NOUN
cana-3826	380	33	)	)	PUNCT
cana-3826	380	34	)	)	PUNCT
cana-3826	380	35	∩	∩	NOUN
cana-3826	380	36	(	(	PUNCT
cana-3826	380	37	(	(	PUNCT
cana-3826	380	38	υ̃2,∧	υ̃2,∧	NOUN
cana-3826	380	39	)	)	PUNCT
cana-3826	380	40	∩	∩	NOUN
cana-3826	380	41	(	(	PUNCT
cana-3826	380	42	ω̃,∧	ω̃,∧	NOUN
cana-3826	380	43	)	)	PUNCT
cana-3826	380	44	)	)	PUNCT
cana-3826	380	45	=	=	SYM
cana-3826	381	1	0(𝔐,q	0(𝔐,q	NUM
cana-3826	381	2	)	)	PUNCT
cana-3826	381	3	.	.	PUNCT
cana-3826	382	1	hence	hence	ADV
cana-3826	382	2	(	(	PUNCT
cana-3826	382	3	(	(	PUNCT
cana-3826	382	4	ω̃,∧	ω̃,∧	NOUN
cana-3826	382	5	)	)	PUNCT
cana-3826	382	6	,	,	PUNCT
cana-3826	382	7	τ̃(ω̃,∧	τ̃(ω̃,∧	NUM
cana-3826	382	8	)	)	PUNCT
cana-3826	382	9	,	,	PUNCT
cana-3826	382	10	q	q	X
cana-3826	382	11	)	)	PUNCT
cana-3826	382	12	is	be	AUX
cana-3826	382	13	a	a	DET
cana-3826	382	14	fhsθ	fhsθ	ADJ
cana-3826	382	15	(	(	PUNCT
cana-3826	382	16	resp	resp	NOUN
cana-3826	382	17	.	.	PUNCT
cana-3826	383	1	fhsθ𝒮	fhsθ𝒮	NOUN
cana-3826	383	2	&	&	CCONJ
cana-3826	383	3	fhsθ𝒫)t4	fhsθ𝒫)t4	NOUN
cana-3826	383	4	-	-	NOUN
cana-3826	383	5	space	space	NOUN
cana-3826	383	6	.	.	PUNCT
cana-3826	384	1	4	4	NUM
cana-3826	384	2	conclusion	conclusion	NOUN
cana-3826	384	3	in	in	ADP
cana-3826	384	4	this	this	DET
cana-3826	384	5	paper	paper	NOUN
cana-3826	384	6	,	,	PUNCT
cana-3826	384	7	fhsθ	fhsθ	NOUN
cana-3826	384	8	(	(	PUNCT
cana-3826	384	9	resp	resp	NOUN
cana-3826	384	10	.	.	PUNCT
cana-3826	385	1	θ	θ	NOUN
cana-3826	385	2	semi	semi	ADV
cana-3826	385	3	&	&	CCONJ
cana-3826	385	4	θ	θ	PROPN
cana-3826	385	5	pre)-separation	pre)-separation	NOUN
cana-3826	385	6	axioms	axiom	NOUN
cana-3826	385	7	in	in	ADP
cana-3826	385	8	fhsts	fhst	NOUN
cana-3826	385	9	are	be	AUX
cana-3826	385	10	introduced	introduce	VERB
cana-3826	385	11	and	and	CCONJ
cana-3826	385	12	studied	study	VERB
cana-3826	385	13	using	use	VERB
cana-3826	385	14	fhsp	fhsp	PROPN
cana-3826	385	15	’s	’s	NOUN
cana-3826	385	16	.	.	PUNCT
cana-3826	386	1	the	the	DET
cana-3826	386	2	relation	relation	NOUN
cana-3826	386	3	and	and	CCONJ
cana-3826	386	4	properties	property	NOUN
cana-3826	386	5	between	between	ADP
cana-3826	386	6	fhsθ	fhsθ	NOUN
cana-3826	386	7	(	(	PUNCT
cana-3826	386	8	resp	resp	NOUN
cana-3826	386	9	.	.	PUNCT
cana-3826	387	1	θ	θ	NOUN
cana-3826	387	2	semi	semi	ADV
cana-3826	387	3	&	&	CCONJ
cana-3826	387	4	θ	θ	PROPN
cana-3826	387	5	pre)tispaces	pre)tispace	NOUN
cana-3826	387	6	(	(	PUNCT
cana-3826	387	7	i	i	NOUN
cana-3826	387	8	=	=	NOUN
cana-3826	387	9	0,1,2,3,4	0,1,2,3,4	NUM
cana-3826	387	10	)	)	PUNCT
cana-3826	387	11	are	be	AUX
cana-3826	387	12	also	also	ADV
cana-3826	387	13	discussed	discuss	VERB
cana-3826	387	14	.	.	PUNCT
cana-3826	388	1	the	the	DET
cana-3826	388	2	future	future	ADJ
cana-3826	388	3	work	work	NOUN
cana-3826	388	4	can	can	AUX
cana-3826	388	5	involves	involve	VERB
cana-3826	388	6	the	the	DET
cana-3826	388	7	investigation	investigation	NOUN
cana-3826	388	8	of	of	ADP
cana-3826	388	9	fhsθ	fhsθ	ADJ
cana-3826	388	10	(	(	PUNCT
cana-3826	388	11	resp	resp	NOUN
cana-3826	388	12	.	.	PUNCT
cana-3826	389	1	θ	θ	NOUN
cana-3826	389	2	semi	semi	ADV
cana-3826	389	3	&	&	CCONJ
cana-3826	389	4	θ	θ	PROPN
cana-3826	389	5	pre)compactness	pre)compactness	PROPN
cana-3826	389	6	,	,	PUNCT
cana-3826	389	7	fhsθ	fhsθ	NOUN
cana-3826	389	8	(	(	PUNCT
cana-3826	389	9	resp	resp	NOUN
cana-3826	389	10	.	.	PUNCT
cana-3826	390	1	θ	θ	NOUN
cana-3826	390	2	semi	semi	ADV
cana-3826	390	3	&	&	CCONJ
cana-3826	390	4	θ	θ	PROPN
cana-3826	390	5	pre)connectedness	pre)connectedness	PROPN
cana-3826	390	6	and	and	CCONJ
cana-3826	390	7	fhs	fh	VERB
cana-3826	390	8	contra	contra	PROPN
cana-3826	390	9	θ	θ	PROPN
cana-3826	390	10	(	(	PUNCT
cana-3826	390	11	resp	resp	NOUN
cana-3826	390	12	.	.	PUNCT
cana-3826	391	1	θ	θ	NOUN
cana-3826	391	2	semi	semi	ADV
cana-3826	391	3	&	&	CCONJ
cana-3826	391	4	θ	θ	PROPN
cana-3826	391	5	pre)continuous	pre)continuous	ADJ
cana-3826	391	6	functions	function	NOUN
cana-3826	391	7	.	.	PUNCT
cana-3826	392	1	references	reference	NOUN
cana-3826	392	2	[	[	X
cana-3826	392	3	1	1	NUM
cana-3826	392	4	]	]	PUNCT
cana-3826	392	5	a.	a.	NOUN
cana-3826	392	6	acikgoz	acikgoz	PROPN
cana-3826	392	7	and	and	CCONJ
cana-3826	392	8	f.	f.	PROPN
cana-3826	392	9	esenbel	esenbel	PROPN
cana-3826	392	10	,	,	PUNCT
cana-3826	392	11	an	an	DET
cana-3826	392	12	approach	approach	NOUN
cana-3826	392	13	to	to	ADP
cana-3826	392	14	pre	pre	ADJ
cana-3826	392	15	-	-	NOUN
cana-3826	392	16	separation	separation	NOUN
cana-3826	392	17	axioms	axiom	NOUN
cana-3826	392	18	in	in	ADP
cana-3826	392	19	neutrosophic	neutrosophic	ADJ
cana-3826	392	20	soft	soft	ADJ
cana-3826	392	21	topological	topological	ADJ
cana-3826	392	22	spaces	space	NOUN
cana-3826	392	23	,	,	PUNCT
cana-3826	392	24	commun.fac.sci.univ.ank.ser	commun.fac.sci.univ.ank.ser	NOUN
cana-3826	392	25	.	.	PUNCT
cana-3826	393	1	ai	ai	VERB
cana-3826	393	2	math	math	NOUN
cana-3826	393	3	.	.	PUNCT
cana-3826	394	1	stat	stat	PROPN
cana-3826	394	2	.	.	PUNCT
cana-3826	394	3	,	,	PUNCT
cana-3826	394	4	69	69	NUM
cana-3826	394	5	(	(	PUNCT
cana-3826	394	6	2	2	NUM
cana-3826	394	7	)	)	PUNCT
cana-3826	394	8	,	,	PUNCT
cana-3826	394	9	(	(	PUNCT
cana-3826	394	10	2020	2020	NUM
cana-3826	394	11	)	)	PUNCT
cana-3826	394	12	,	,	PUNCT
cana-3826	394	13	1389	1389	NUM
cana-3826	394	14	-	-	SYM
cana-3826	394	15	1404	1404	NUM
cana-3826	394	16	.	.	PUNCT
cana-3826	395	1	[	[	X
cana-3826	395	2	2	2	NUM
cana-3826	395	3	]	]	PUNCT
cana-3826	395	4	m.	m.	NOUN
cana-3826	395	5	abbas	abbas	PROPN
cana-3826	395	6	,	,	PUNCT
cana-3826	395	7	g.	g.	PROPN
cana-3826	395	8	murtaza	murtaza	PROPN
cana-3826	395	9	and	and	CCONJ
cana-3826	395	10	f.	f.	PROPN
cana-3826	395	11	smarandache	smarandache	PROPN
cana-3826	395	12	,	,	PUNCT
cana-3826	395	13	basic	basic	ADJ
cana-3826	395	14	operations	operation	NOUN
cana-3826	395	15	on	on	ADP
cana-3826	395	16	hypersoft	hypersoft	NOUN
cana-3826	395	17	sets	set	NOUN
cana-3826	395	18	and	and	CCONJ
cana-3826	395	19	hypersoft	hypersoft	NOUN
cana-3826	395	20	point	point	NOUN
cana-3826	395	21	,	,	PUNCT
cana-3826	395	22	neutrosophic	neutrosophic	ADJ
cana-3826	395	23	sets	set	NOUN
cana-3826	395	24	and	and	CCONJ
cana-3826	395	25	systems	system	NOUN
cana-3826	395	26	,	,	PUNCT
cana-3826	395	27	35	35	NUM
cana-3826	395	28	,	,	PUNCT
cana-3826	395	29	(	(	PUNCT
cana-3826	395	30	2020	2020	NUM
cana-3826	395	31	)	)	PUNCT
cana-3826	395	32	,	,	PUNCT
cana-3826	395	33	407	407	NUM
cana-3826	395	34	-	-	SYM
cana-3826	395	35	421	421	NUM
cana-3826	395	36	.	.	PUNCT
cana-3826	396	1	[	[	X
cana-3826	396	2	3	3	X
cana-3826	396	3	]	]	X
cana-3826	396	4	d.	d.	PROPN
cana-3826	396	5	ajay	ajay	PROPN
cana-3826	396	6	and	and	CCONJ
cana-3826	396	7	j.	j.	PROPN
cana-3826	396	8	joseline	joseline	PROPN
cana-3826	396	9	charisma	charisma	PROPN
cana-3826	396	10	,	,	PUNCT
cana-3826	396	11	neutrosophic	neutrosophic	ADJ
cana-3826	396	12	hypersoft	hypersoft	PROPN
cana-3826	396	13	topological	topological	ADJ
cana-3826	396	14	spaces	space	NOUN
cana-3826	396	15	,	,	PUNCT
cana-3826	396	16	neutrosophic	neutrosophic	ADJ
cana-3826	396	17	sets	set	NOUN
cana-3826	396	18	and	and	CCONJ
cana-3826	396	19	systems	system	NOUN
cana-3826	396	20	,	,	PUNCT
cana-3826	396	21	40	40	NUM
cana-3826	396	22	,	,	PUNCT
cana-3826	396	23	(	(	PUNCT
cana-3826	396	24	2021	2021	NUM
cana-3826	396	25	)	)	PUNCT
cana-3826	396	26	,	,	PUNCT
cana-3826	396	27	178	178	NUM
cana-3826	396	28	-	-	SYM
cana-3826	396	29	194	194	NUM
cana-3826	396	30	.	.	PUNCT
cana-3826	397	1	[	[	X
cana-3826	397	2	4	4	X
cana-3826	397	3	]	]	PUNCT
cana-3826	397	4	s.	s.	PROPN
cana-3826	397	5	aranganayagi	aranganayagi	PROPN
cana-3826	397	6	,	,	PUNCT
cana-3826	397	7	m.	m.	NOUN
cana-3826	397	8	saraswathi	saraswathi	PROPN
cana-3826	397	9	and	and	CCONJ
cana-3826	397	10	k.	k.	PROPN
cana-3826	397	11	chitirakala	chitirakala	PROPN
cana-3826	397	12	,	,	PUNCT
cana-3826	397	13	more	more	ADJ
cana-3826	397	14	on	on	ADP
cana-3826	397	15	open	open	ADJ
cana-3826	397	16	maps	map	NOUN
cana-3826	397	17	and	and	CCONJ
cana-3826	397	18	closed	closed	ADJ
cana-3826	397	19	maps	map	NOUN
cana-3826	397	20	in	in	ADP
cana-3826	397	21	fuzzy	fuzzy	ADJ
cana-3826	397	22	hypersoft	hypersoft	PROPN
cana-3826	397	23	topological	topological	ADJ
cana-3826	397	24	spaces	space	NOUN
cana-3826	397	25	and	and	CCONJ
cana-3826	397	26	application	application	NOUN
cana-3826	397	27	in	in	ADP
cana-3826	397	28	covid-19	covid-19	PROPN
cana-3826	397	29	diagnosis	diagnosis	NOUN
cana-3826	397	30	using	use	VERB
cana-3826	397	31	cotangent	cotangent	NOUN
cana-3826	397	32	similarity	similarity	NOUN
cana-3826	397	33	measure	measure	NOUN
cana-3826	397	34	,	,	PUNCT
cana-3826	397	35	international	international	ADJ
cana-3826	397	36	journal	journal	NOUN
cana-3826	397	37	of	of	ADP
cana-3826	397	38	neutrosophic	neutrosophic	ADJ
cana-3826	397	39	science	science	NOUN
cana-3826	397	40	,	,	PUNCT
cana-3826	397	41	21(2	21(2	NUM
cana-3826	397	42	)	)	PUNCT
cana-3826	397	43	,	,	PUNCT
cana-3826	397	44	(	(	PUNCT
cana-3826	397	45	2023	2023	NUM
cana-3826	397	46	)	)	PUNCT
cana-3826	397	47	,	,	PUNCT
cana-3826	397	48	32	32	NUM
cana-3826	397	49	-	-	SYM
cana-3826	397	50	58	58	NUM
cana-3826	397	51	.	.	PUNCT
cana-3826	398	1	[	[	X
cana-3826	398	2	5	5	X
cana-3826	398	3	]	]	PUNCT
cana-3826	398	4	s.	s.	PROPN
cana-3826	398	5	aranganayagi	aranganayagi	PROPN
cana-3826	398	6	,	,	PUNCT
cana-3826	398	7	m.	m.	NOUN
cana-3826	398	8	saraswathi	saraswathi	PROPN
cana-3826	398	9	,	,	PUNCT
cana-3826	398	10	k.	k.	PROPN
cana-3826	398	11	chitirakala	chitirakala	PROPN
cana-3826	398	12	and	and	CCONJ
cana-3826	398	13	a.	a.	NOUN
cana-3826	398	14	vadivel	vadivel	PROPN
cana-3826	398	15	,	,	PUNCT
cana-3826	398	16	the	the	DET
cana-3826	398	17	e	e	NOUN
cana-3826	398	18	-	-	ADJ
cana-3826	398	19	open	open	ADJ
cana-3826	398	20	sets	set	NOUN
cana-3826	398	21	in	in	ADP
cana-3826	398	22	neutrosophic	neutrosophic	ADJ
cana-3826	398	23	hypersoft	hypersoft	ADJ
cana-3826	398	24	topologial	topologial	ADJ
cana-3826	398	25	spaces	space	NOUN
cana-3826	398	26	and	and	CCONJ
cana-3826	398	27	application	application	NOUN
cana-3826	398	28	in	in	ADP
cana-3826	398	29	covid-19	covid-19	PROPN
cana-3826	398	30	diagnosis	diagnosis	NOUN
cana-3826	398	31	using	use	VERB
cana-3826	398	32	normalized	normalize	VERB
cana-3826	398	33	hamming	hamming	NOUN
cana-3826	398	34	distance	distance	NOUN
cana-3826	398	35	,	,	PUNCT
cana-3826	398	36	journal	journal	NOUN
cana-3826	398	37	of	of	ADP
cana-3826	398	38	the	the	DET
cana-3826	398	39	indonesian	indonesian	PROPN
cana-3826	398	40	mathematical	mathematical	ADJ
cana-3826	398	41	society	society	NOUN
cana-3826	398	42	,	,	PUNCT
cana-3826	398	43	29(2	29(2	NUM
cana-3826	398	44	)	)	PUNCT
cana-3826	398	45	,	,	PUNCT
cana-3826	398	46	(	(	PUNCT
cana-3826	398	47	2023	2023	NUM
cana-3826	398	48	)	)	PUNCT
cana-3826	398	49	,	,	PUNCT
cana-3826	398	50	177	177	NUM
cana-3826	398	51	-	-	SYM
cana-3826	398	52	196	196	NUM
cana-3826	398	53	.	.	PUNCT
cana-3826	399	1	[	[	X
cana-3826	399	2	6	6	NUM
cana-3826	399	3	]	]	PUNCT
cana-3826	399	4	c.	c.	PROPN
cana-3826	399	5	g.	g.	PROPN
cana-3826	399	6	aras	aras	PROPN
cana-3826	399	7	,	,	PUNCT
cana-3826	399	8	t.	t.	PROPN
cana-3826	399	9	y.	y.	PROPN
cana-3826	399	10	ozturk	ozturk	PROPN
cana-3826	399	11	and	and	CCONJ
cana-3826	399	12	s.	s.	PROPN
cana-3826	399	13	bayramov	bayramov	PROPN
cana-3826	399	14	,	,	PUNCT
cana-3826	399	15	separation	separation	NOUN
cana-3826	399	16	axioms	axiom	NOUN
cana-3826	399	17	on	on	ADP
cana-3826	399	18	neutrosophic	neutrosophic	ADJ
cana-3826	399	19	soft	soft	ADJ
cana-3826	399	20	topological	topological	ADJ
cana-3826	399	21	spaces	space	NOUN
cana-3826	399	22	,	,	PUNCT
cana-3826	399	23	turkish	turkish	ADJ
cana-3826	399	24	journal	journal	NOUN
cana-3826	399	25	of	of	ADP
cana-3826	399	26	mathematics	mathematic	NOUN
cana-3826	399	27	,	,	PUNCT
cana-3826	399	28	43	43	NUM
cana-3826	399	29	(	(	PUNCT
cana-3826	399	30	2019	2019	NUM
cana-3826	399	31	)	)	PUNCT
cana-3826	399	32	,	,	PUNCT
cana-3826	399	33	498	498	NUM
cana-3826	399	34	-	-	SYM
cana-3826	399	35	510	510	NUM
cana-3826	399	36	.	.	PUNCT
cana-3826	400	1	[	[	X
cana-3826	400	2	7	7	NUM
cana-3826	400	3	]	]	X
cana-3826	400	4	m.	m.	NOUN
cana-3826	400	5	caldas	caldas	PROPN
cana-3826	400	6	,	,	PUNCT
cana-3826	400	7	m.	m.	NOUN
cana-3826	400	8	ganster	ganster	NOUN
cana-3826	400	9	,	,	PUNCT
cana-3826	400	10	d.	d.	PROPN
cana-3826	400	11	n.	n.	PROPN
cana-3826	400	12	georgiou	georgiou	PROPN
cana-3826	400	13	,	,	PUNCT
cana-3826	400	14	s.	s.	PROPN
cana-3826	400	15	jafari	jafari	PROPN
cana-3826	400	16	and	and	CCONJ
cana-3826	400	17	t.	t.	PROPN
cana-3826	400	18	noiri	noiri	PROPN
cana-3826	400	19	,	,	PUNCT
cana-3826	400	20	θ	θ	ADJ
cana-3826	400	21	-	-	PUNCT
cana-3826	400	22	semiopen	semiopen	ADJ
cana-3826	400	23	sets	set	NOUN
cana-3826	400	24	and	and	CCONJ
cana-3826	400	25	separation	separation	NOUN
cana-3826	400	26	axioms	axiom	NOUN
cana-3826	400	27	in	in	ADP
cana-3826	400	28	topological	topological	ADJ
cana-3826	400	29	spaces	space	NOUN
cana-3826	400	30	,	,	PUNCT
cana-3826	400	31	carpathian	carpathian	ADJ
cana-3826	400	32	journal	journal	NOUN
cana-3826	400	33	of	of	ADP
cana-3826	400	34	mathematics	mathematic	NOUN
cana-3826	400	35	,	,	PUNCT
cana-3826	400	36	24	24	NUM
cana-3826	400	37	(	(	PUNCT
cana-3826	400	38	1	1	NUM
cana-3826	400	39	)	)	PUNCT
cana-3826	400	40	(	(	PUNCT
cana-3826	400	41	2008	2008	NUM
cana-3826	400	42	)	)	PUNCT
cana-3826	400	43	,	,	PUNCT
cana-3826	400	44	13	13	NUM
cana-3826	400	45	-	-	SYM
cana-3826	400	46	22	22	NUM
cana-3826	400	47	.	.	PUNCT
cana-3826	401	1	[	[	X
cana-3826	401	2	8	8	NUM
cana-3826	401	3	]	]	PUNCT
cana-3826	401	4	m.	m.	NOUN
cana-3826	401	5	caldas	caldas	PROPN
cana-3826	401	6	,	,	PUNCT
cana-3826	401	7	s.	s.	PROPN
cana-3826	401	8	jafari	jafari	PROPN
cana-3826	401	9	and	and	CCONJ
cana-3826	401	10	m.	m.	PROPN
cana-3826	401	11	m.	m.	PROPN
cana-3826	401	12	kovar	kovar	PROPN
cana-3826	401	13	,	,	PUNCT
cana-3826	401	14	some	some	DET
cana-3826	401	15	properties	property	NOUN
cana-3826	401	16	of	of	ADP
cana-3826	401	17	θ	θ	ADJ
cana-3826	401	18	-	-	ADJ
cana-3826	401	19	open	open	ADJ
cana-3826	401	20	sets	set	NOUN
cana-3826	401	21	,	,	PUNCT
cana-3826	402	1	divulg	divulg	PROPN
cana-3826	402	2	.	.	PUNCT
cana-3826	402	3	mat	mat	PROPN
cana-3826	402	4	.	.	PROPN
cana-3826	402	5	,	,	PUNCT
cana-3826	402	6	12	12	NUM
cana-3826	402	7	(	(	PUNCT
cana-3826	402	8	2	2	NUM
cana-3826	402	9	)	)	PUNCT
cana-3826	402	10	(	(	PUNCT
cana-3826	402	11	2004	2004	NUM
cana-3826	402	12	)	)	PUNCT
cana-3826	402	13	,	,	PUNCT
cana-3826	402	14	161169	161169	NUM
cana-3826	402	15	.	.	PUNCT
cana-3826	403	1	[	[	X
cana-3826	403	2	9	9	NUM
cana-3826	403	3	]	]	PUNCT
cana-3826	403	4	c.	c.	PROPN
cana-3826	403	5	l.	l.	PROPN
cana-3826	403	6	chang	chang	PROPN
cana-3826	403	7	,	,	PUNCT
cana-3826	403	8	fuzzy	fuzzy	ADJ
cana-3826	403	9	topological	topological	ADJ
cana-3826	403	10	spaces	space	NOUN
cana-3826	403	11	,	,	PUNCT
cana-3826	403	12	j.	j.	PROPN
cana-3826	403	13	math	math	PROPN
cana-3826	403	14	.	.	PUNCT
cana-3826	404	1	anal	anal	PROPN
cana-3826	404	2	.	.	PUNCT
cana-3826	405	1	appl	appl	PROPN
cana-3826	405	2	.	.	PROPN
cana-3826	405	3	,	,	PUNCT
cana-3826	405	4	24	24	NUM
cana-3826	405	5	(	(	PUNCT
cana-3826	405	6	1968	1968	NUM
cana-3826	405	7	)	)	PUNCT
cana-3826	405	8	,	,	PUNCT
cana-3826	405	9	182	182	NUM
cana-3826	405	10	-	-	SYM
cana-3826	405	11	190	190	NUM
cana-3826	405	12	.	.	PUNCT
cana-3826	406	1	[	[	X
cana-3826	406	2	10	10	NUM
cana-3826	406	3	]	]	X
cana-3826	406	4	c.	c.	NOUN
cana-3826	406	5	gunduz	gunduz	PROPN
cana-3826	406	6	,	,	PUNCT
cana-3826	406	7	t.	t.	PROPN
cana-3826	406	8	y.	y.	PROPN
cana-3826	406	9	ozturk	ozturk	PROPN
cana-3826	406	10	and	and	CCONJ
cana-3826	406	11	s.	s.	PROPN
cana-3826	406	12	bayramov	bayramov	PROPN
cana-3826	406	13	,	,	PUNCT
cana-3826	406	14	separation	separation	NOUN
cana-3826	406	15	axioms	axiom	NOUN
cana-3826	406	16	on	on	ADP
cana-3826	406	17	neutrosophic	neutrosophic	ADJ
cana-3826	406	18	soft	soft	ADJ
cana-3826	406	19	topological	topological	ADJ
cana-3826	406	20	spaces	space	NOUN
cana-3826	406	21	,	,	PUNCT
cana-3826	406	22	turkish	turkish	ADJ
cana-3826	406	23	journal	journal	NOUN
cana-3826	406	24	of	of	ADP
cana-3826	406	25	mathematics	mathematic	NOUN
cana-3826	406	26	,	,	PUNCT
cana-3826	406	27	43	43	NUM
cana-3826	406	28	(	(	PUNCT
cana-3826	406	29	1	1	NUM
cana-3826	406	30	)	)	PUNCT
cana-3826	406	31	,	,	PUNCT
cana-3826	406	32	(	(	PUNCT
cana-3826	406	33	2019	2019	NUM
cana-3826	406	34	)	)	PUNCT
cana-3826	406	35	,	,	PUNCT
cana-3826	406	36	498	498	NUM
cana-3826	406	37	510	510	NUM
cana-3826	406	38	.	.	PUNCT
cana-3826	407	1	[	[	X
cana-3826	407	2	11	11	NUM
cana-3826	407	3	]	]	PUNCT
cana-3826	407	4	a.	a.	NOUN
cana-3826	407	5	m.	m.	PROPN
cana-3826	407	6	khattak	khattak	PROPN
cana-3826	407	7	,	,	PUNCT
cana-3826	407	8	n.	n.	PROPN
cana-3826	407	9	hanif	hanif	PROPN
cana-3826	407	10	,	,	PUNCT
cana-3826	407	11	f.	f.	PROPN
cana-3826	407	12	nadeem	nadeem	PROPN
cana-3826	407	13	,	,	PUNCT
cana-3826	407	14	m.	m.	PROPN
cana-3826	407	15	zamir	zamir	PROPN
cana-3826	407	16	,	,	PUNCT
cana-3826	407	17	c.	c.	PROPN
cana-3826	407	18	park	park	PROPN
cana-3826	407	19	,	,	PUNCT
cana-3826	407	20	g.	g.	PROPN
cana-3826	407	21	nordo	nordo	PROPN
cana-3826	407	22	and	and	CCONJ
cana-3826	407	23	s.	s.	PROPN
cana-3826	407	24	jabeen	jabeen	PROPN
cana-3826	407	25	,	,	PUNCT
cana-3826	407	26	soft	soft	ADJ
cana-3826	407	27	b	b	NOUN
cana-3826	407	28	-	-	PUNCT
cana-3826	407	29	separation	separation	NOUN
cana-3826	407	30	axioms	axiom	NOUN
cana-3826	407	31	in	in	ADP
cana-3826	407	32	neutrosophic	neutrosophic	ADJ
cana-3826	407	33	soft	soft	ADJ
cana-3826	407	34	topological	topological	ADJ
cana-3826	407	35	structures	structure	NOUN
cana-3826	407	36	,	,	PUNCT
cana-3826	407	37	annals	annal	NOUN
cana-3826	407	38	of	of	ADP
cana-3826	407	39	fuzzy	fuzzy	ADJ
cana-3826	407	40	mathematics	mathematic	NOUN
cana-3826	407	41	and	and	CCONJ
cana-3826	407	42	informatics	informatic	NOUN
cana-3826	407	43	,	,	PUNCT
cana-3826	407	44	18	18	NUM
cana-3826	407	45	(	(	PUNCT
cana-3826	407	46	1	1	NUM
cana-3826	407	47	)	)	PUNCT
cana-3826	407	48	(	(	PUNCT
cana-3826	407	49	2019	2019	NUM
cana-3826	407	50	)	)	PUNCT
cana-3826	407	51	,	,	PUNCT
cana-3826	407	52	93	93	NUM
cana-3826	407	53	-	-	SYM
cana-3826	407	54	105	105	NUM
cana-3826	407	55	.	.	PUNCT
cana-3826	408	1	communications	communication	NOUN
cana-3826	408	2	on	on	ADP
cana-3826	408	3	applied	apply	VERB
cana-3826	408	4	nonlinear	nonlinear	ADJ
cana-3826	408	5	analysis	analysis	NOUN
cana-3826	408	6	issn	issn	NOUN
cana-3826	408	7	:	:	PUNCT
cana-3826	408	8	1074	1074	NUM
cana-3826	408	9	-	-	PUNCT
cana-3826	408	10	133x	133x	NUM
cana-3826	408	11	vol	vol	NOUN
cana-3826	408	12	32	32	NUM
cana-3826	408	13	no	no	NOUN
cana-3826	408	14	.	.	PUNCT
cana-3826	409	1	8s	8s	PROPN
cana-3826	409	2	(	(	PUNCT
cana-3826	409	3	2025	2025	NUM
cana-3826	409	4	)	)	PUNCT
cana-3826	409	5	846	846	NUM
cana-3826	409	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3826	410	1	[	[	X
cana-3826	410	2	12	12	NUM
cana-3826	410	3	]	]	X
cana-3826	410	4	d.	d.	PROPN
cana-3826	410	5	molodtsov	molodtsov	PROPN
cana-3826	410	6	,	,	PUNCT
cana-3826	410	7	soft	soft	ADJ
cana-3826	410	8	set	set	NOUN
cana-3826	410	9	theory	theory	NOUN
cana-3826	410	10	-	-	PUNCT
cana-3826	410	11	first	first	ADJ
cana-3826	410	12	results	result	NOUN
cana-3826	410	13	,	,	PUNCT
cana-3826	410	14	comput	comput	NOUN
cana-3826	410	15	.	.	PUNCT
cana-3826	410	16	math	math	NOUN
cana-3826	410	17	.	.	PUNCT
cana-3826	411	1	appl	appl	PROPN
cana-3826	411	2	.	.	PROPN
cana-3826	411	3	,	,	PUNCT
cana-3826	411	4	37	37	NUM
cana-3826	411	5	,	,	PUNCT
cana-3826	411	6	(	(	PUNCT
cana-3826	411	7	1999	1999	NUM
cana-3826	411	8	)	)	PUNCT
cana-3826	411	9	,	,	PUNCT
cana-3826	411	10	19	19	NUM
cana-3826	411	11	-	-	SYM
cana-3826	411	12	31	31	NUM
cana-3826	411	13	.	.	PUNCT
cana-3826	412	1	[	[	X
cana-3826	412	2	13	13	NUM
cana-3826	412	3	]	]	PUNCT
cana-3826	412	4	t.	t.	PROPN
cana-3826	412	5	y.	y.	PROPN
cana-3826	412	6	ozturk	ozturk	PROPN
cana-3826	412	7	,	,	PUNCT
cana-3826	412	8	separation	separation	NOUN
cana-3826	412	9	axioms	axiom	VERB
cana-3826	412	10	on	on	ADP
cana-3826	412	11	fuzzy	fuzzy	ADJ
cana-3826	412	12	hypersoft	hypersoft	PROPN
cana-3826	412	13	topological	topological	ADJ
cana-3826	412	14	spaces	space	NOUN
cana-3826	412	15	,	,	PUNCT
cana-3826	412	16	journal	journal	NOUN
cana-3826	412	17	of	of	ADP
cana-3826	412	18	interdisciplinary	interdisciplinary	ADJ
cana-3826	412	19	mathematics	mathematic	NOUN
cana-3826	412	20	,	,	PUNCT
cana-3826	412	21	43	43	NUM
cana-3826	412	22	(	(	PUNCT
cana-3826	412	23	1	1	NUM
cana-3826	412	24	)	)	PUNCT
cana-3826	412	25	,	,	PUNCT
cana-3826	412	26	(	(	PUNCT
cana-3826	412	27	2022	2022	NUM
cana-3826	412	28	)	)	PUNCT
cana-3826	412	29	,	,	PUNCT
cana-3826	412	30	1	1	NUM
cana-3826	412	31	11	11	NUM
cana-3826	412	32	.	.	PUNCT
cana-3826	413	1	[	[	X
cana-3826	413	2	14	14	NUM
cana-3826	413	3	]	]	X
cana-3826	413	4	p.	p.	PROPN
cana-3826	413	5	revathi	revathi	PROPN
cana-3826	413	6	,	,	PUNCT
cana-3826	413	7	k.	k.	PROPN
cana-3826	413	8	chitirakala	chitirakala	PROPN
cana-3826	413	9	and	and	CCONJ
cana-3826	413	10	a.	a.	NOUN
cana-3826	413	11	vadivel	vadivel	PROPN
cana-3826	413	12	,	,	PUNCT
cana-3826	413	13	soft	soft	ADJ
cana-3826	413	14	e	e	NOUN
cana-3826	413	15	-	-	NOUN
cana-3826	413	16	separation	separation	NOUN
cana-3826	413	17	axioms	axiom	NOUN
cana-3826	413	18	in	in	ADP
cana-3826	413	19	neutrosophic	neutrosophic	ADJ
cana-3826	413	20	soft	soft	ADJ
cana-3826	413	21	topological	topological	ADJ
cana-3826	413	22	spaces	space	NOUN
cana-3826	413	23	,	,	PUNCT
cana-3826	413	24	journal	journal	NOUN
cana-3826	413	25	of	of	ADP
cana-3826	413	26	physics	physics	PROPN
cana-3826	413	27	:	:	PUNCT
cana-3826	413	28	conference	conference	NOUN
cana-3826	413	29	series	series	NOUN
cana-3826	413	30	,	,	PUNCT
cana-3826	413	31	2070	2070	NUM
cana-3826	413	32	(	(	PUNCT
cana-3826	413	33	1	1	NUM
cana-3826	413	34	)	)	PUNCT
cana-3826	413	35	,	,	PUNCT
cana-3826	413	36	(	(	PUNCT
cana-3826	413	37	2021	2021	NUM
cana-3826	413	38	)	)	PUNCT
cana-3826	413	39	,	,	PUNCT
cana-3826	413	40	012028	012028	NUM
cana-3826	413	41	.	.	PUNCT
cana-3826	414	1	[	[	X
cana-3826	414	2	15	15	NUM
cana-3826	414	3	]	]	X
cana-3826	414	4	p.	p.	NOUN
cana-3826	414	5	revathi	revathi	PROPN
cana-3826	414	6	,	,	PUNCT
cana-3826	414	7	k.	k.	PROPN
cana-3826	414	8	chitirakala	chitirakala	PROPN
cana-3826	414	9	and	and	CCONJ
cana-3826	414	10	a.	a.	NOUN
cana-3826	414	11	vadivel	vadivel	PROPN
cana-3826	414	12	,	,	PUNCT
cana-3826	414	13	neutrosophic	neutrosophic	ADJ
cana-3826	414	14	soft	soft	ADJ
cana-3826	414	15	e	e	ADJ
cana-3826	414	16	-	-	ADJ
cana-3826	414	17	compact	compact	ADJ
cana-3826	414	18	spaces	space	NOUN
cana-3826	414	19	and	and	CCONJ
cana-3826	414	20	application	application	NOUN
cana-3826	414	21	using	use	VERB
cana-3826	414	22	entropy	entropy	NOUN
cana-3826	414	23	measure	measure	NOUN
cana-3826	414	24	,	,	PUNCT
cana-3826	414	25	applications	application	NOUN
cana-3826	414	26	and	and	CCONJ
cana-3826	414	27	applied	apply	VERB
cana-3826	414	28	mathematics	mathematic	NOUN
cana-3826	414	29	:	:	PUNCT
cana-3826	414	30	an	an	DET
cana-3826	414	31	international	international	ADJ
cana-3826	414	32	journal	journal	NOUN
cana-3826	414	33	(	(	PUNCT
cana-3826	414	34	aam	aam	PROPN
cana-3826	414	35	)	)	PUNCT
cana-3826	414	36	17	17	NUM
cana-3826	414	37	(	(	PUNCT
cana-3826	414	38	1	1	NUM
cana-3826	414	39	)	)	PUNCT
cana-3826	414	40	,	,	PUNCT
cana-3826	414	41	(	(	PUNCT
cana-3826	414	42	2022	2022	NUM
cana-3826	414	43	)	)	PUNCT
cana-3826	414	44	,	,	PUNCT
cana-3826	414	45	243	243	NUM
cana-3826	414	46	-	-	SYM
cana-3826	414	47	256	256	NUM
cana-3826	414	48	.	.	PUNCT
cana-3826	415	1	[	[	X
cana-3826	415	2	16	16	NUM
cana-3826	415	3	]	]	X
cana-3826	415	4	p.	p.	PROPN
cana-3826	415	5	revathi	revathi	PROPN
cana-3826	415	6	,	,	PUNCT
cana-3826	415	7	k.	k.	PROPN
cana-3826	415	8	chitirakala	chitirakala	PROPN
cana-3826	415	9	and	and	CCONJ
cana-3826	415	10	a.	a.	NOUN
cana-3826	415	11	vadivel	vadivel	PROPN
cana-3826	415	12	,	,	PUNCT
cana-3826	415	13	neutrosophic	neutrosophic	ADJ
cana-3826	415	14	soft	soft	ADJ
cana-3826	415	15	e	e	NOUN
cana-3826	415	16	-	-	ADJ
cana-3826	415	17	open	open	ADJ
cana-3826	415	18	maps	map	NOUN
cana-3826	415	19	,	,	PUNCT
cana-3826	415	20	neutrosophic	neutrosophic	ADJ
cana-3826	415	21	soft	soft	ADJ
cana-3826	415	22	e	e	ADJ
cana-3826	415	23	-	-	ADJ
cana-3826	415	24	closed	closed	ADJ
cana-3826	415	25	maps	map	NOUN
cana-3826	415	26	and	and	CCONJ
cana-3826	415	27	neutrosophi	neutrosophi	NOUN
cana-3826	415	28	soft	soft	ADJ
cana-3826	415	29	e	e	NOUN
cana-3826	415	30	-	-	NOUN
cana-3826	415	31	homeomorphisms	homeomorphism	NOUN
cana-3826	415	32	in	in	ADP
cana-3826	415	33	neutrosophic	neutrosophic	ADJ
cana-3826	415	34	soft	soft	ADJ
cana-3826	415	35	topological	topological	ADJ
cana-3826	415	36	spaces	space	NOUN
cana-3826	415	37	,	,	PUNCT
cana-3826	415	38	springer	springer	NOUN
cana-3826	415	39	proceedings	proceeding	NOUN
cana-3826	415	40	in	in	ADP
cana-3826	415	41	mathematics	mathematic	NOUN
cana-3826	415	42	and	and	CCONJ
cana-3826	415	43	statistics	statistic	NOUN
cana-3826	415	44	,	,	PUNCT
cana-3826	415	45	384	384	NUM
cana-3826	415	46	(	(	PUNCT
cana-3826	415	47	2022	2022	NUM
cana-3826	415	48	)	)	PUNCT
cana-3826	415	49	,	,	PUNCT
cana-3826	415	50	47	47	NUM
cana-3826	415	51	-	-	SYM
cana-3826	415	52	57	57	NUM
cana-3826	415	53	.	.	PUNCT
cana-3826	416	1	[	[	X
cana-3826	416	2	17	17	NUM
cana-3826	416	3	]	]	X
cana-3826	416	4	p.	p.	PROPN
cana-3826	416	5	revathi	revathi	PROPN
cana-3826	416	6	,	,	PUNCT
cana-3826	416	7	k.	k.	PROPN
cana-3826	416	8	chitirakala	chitirakala	PROPN
cana-3826	416	9	and	and	CCONJ
cana-3826	416	10	a.	a.	NOUN
cana-3826	416	11	vadivel	vadivel	PROPN
cana-3826	416	12	,	,	PUNCT
cana-3826	416	13	neutrosophic	neutrosophic	ADJ
cana-3826	416	14	soft	soft	ADJ
cana-3826	416	15	contra	contra	NOUN
cana-3826	416	16	e	e	NOUN
cana-3826	416	17	-	-	ADJ
cana-3826	416	18	continuous	continuous	ADJ
cana-3826	416	19	maps	map	NOUN
cana-3826	416	20	,	,	PUNCT
cana-3826	416	21	contra	contra	PROPN
cana-3826	416	22	e	e	PROPN
cana-3826	416	23	-	-	ADJ
cana-3826	416	24	irresolute	irresolute	ADJ
cana-3826	416	25	maps	map	NOUN
cana-3826	416	26	and	and	CCONJ
cana-3826	416	27	application	application	NOUN
cana-3826	416	28	using	use	VERB
cana-3826	416	29	distance	distance	NOUN
cana-3826	416	30	measure	measure	NOUN
cana-3826	416	31	,	,	PUNCT
cana-3826	416	32	applications	application	NOUN
cana-3826	416	33	and	and	CCONJ
cana-3826	416	34	applied	apply	VERB
cana-3826	416	35	mathematics	mathematic	NOUN
cana-3826	416	36	:	:	PUNCT
cana-3826	416	37	an	an	DET
cana-3826	416	38	international	international	ADJ
cana-3826	416	39	journal	journal	NOUN
cana-3826	416	40	(	(	PUNCT
cana-3826	416	41	aam	aam	PROPN
cana-3826	416	42	)	)	PUNCT
cana-3826	416	43	18	18	NUM
cana-3826	416	44	(	(	PUNCT
cana-3826	416	45	1	1	NUM
cana-3826	416	46	)	)	PUNCT
cana-3826	416	47	,	,	PUNCT
cana-3826	416	48	(	(	PUNCT
cana-3826	416	49	2023	2023	NUM
cana-3826	416	50	)	)	PUNCT
cana-3826	416	51	,	,	PUNCT
cana-3826	416	52	article	article	NOUN
cana-3826	416	53	13	13	NUM
cana-3826	416	54	,	,	PUNCT
cana-3826	416	55	15	15	NUM
cana-3826	416	56	pages	page	NOUN
cana-3826	416	57	.	.	PUNCT
cana-3826	417	1	[	[	X
cana-3826	417	2	18	18	NUM
cana-3826	417	3	]	]	X
cana-3826	417	4	p.	p.	NOUN
cana-3826	417	5	revathi	revathi	PROPN
cana-3826	417	6	,	,	PUNCT
cana-3826	417	7	k.	k.	PROPN
cana-3826	417	8	chitirakala	chitirakala	PROPN
cana-3826	417	9	and	and	CCONJ
cana-3826	417	10	a.	a.	NOUN
cana-3826	417	11	vadivel	vadivel	NOUN
cana-3826	417	12	,	,	PUNCT
cana-3826	417	13	e	e	NOUN
cana-3826	417	14	-	-	ADJ
cana-3826	417	15	continuous	continuous	ADJ
cana-3826	417	16	maps	map	NOUN
cana-3826	417	17	and	and	CCONJ
cana-3826	417	18	e	e	NOUN
cana-3826	417	19	-	-	NOUN
cana-3826	417	20	irresolute	irresolute	ADJ
cana-3826	417	21	maps	map	NOUN
cana-3826	417	22	in	in	ADP
cana-3826	417	23	neutrosophic	neutrosophic	ADJ
cana-3826	417	24	soft	soft	ADJ
cana-3826	417	25	topological	topological	ADJ
cana-3826	417	26	spaces	space	NOUN
cana-3826	417	27	,	,	PUNCT
cana-3826	417	28	aip	aip	PROPN
cana-3826	417	29	conf	conf	PROPN
cana-3826	417	30	.	.	PUNCT
cana-3826	418	1	proc	proc	PROPN
cana-3826	418	2	.	.	PROPN
cana-3826	418	3	,	,	PUNCT
cana-3826	418	4	2850	2850	NUM
cana-3826	418	5	,	,	PUNCT
cana-3826	418	6	(	(	PUNCT
cana-3826	418	7	2024	2024	NUM
cana-3826	418	8	)	)	PUNCT
cana-3826	418	9	,	,	PUNCT
cana-3826	418	10	050006	050006	NUM
cana-3826	418	11	.	.	PUNCT
cana-3826	419	1	[	[	X
cana-3826	419	2	19	19	NUM
cana-3826	419	3	]	]	X
cana-3826	419	4	p.	p.	PROPN
cana-3826	419	5	revathi	revathi	PROPN
cana-3826	419	6	,	,	PUNCT
cana-3826	419	7	b.	b.	PROPN
cana-3826	419	8	premamalini	premamalini	PROPN
cana-3826	419	9	,	,	PUNCT
cana-3826	419	10	k.	k.	PROPN
cana-3826	419	11	chitirakala	chitirakala	PROPN
cana-3826	419	12	and	and	CCONJ
cana-3826	419	13	a.	a.	NOUN
cana-3826	419	14	vadivel	vadivel	PROPN
cana-3826	419	15	,	,	PUNCT
cana-3826	419	16	θ	θ	ADJ
cana-3826	419	17	-	-	ADJ
cana-3826	419	18	open	open	ADJ
cana-3826	419	19	sets	set	NOUN
cana-3826	419	20	in	in	ADP
cana-3826	419	21	neutrosophic	neutrosophic	ADJ
cana-3826	419	22	hypersoft	hypersoft	PROPN
cana-3826	419	23	topological	topological	ADJ
cana-3826	419	24	spaces	space	NOUN
cana-3826	419	25	,	,	PUNCT
cana-3826	419	26	submitted	submit	VERB
cana-3826	419	27	.	.	PUNCT
cana-3826	420	1	[	[	X
cana-3826	420	2	20	20	NUM
cana-3826	420	3	]	]	X
cana-3826	420	4	saeed	saeed	PROPN
cana-3826	420	5	,	,	PUNCT
cana-3826	420	6	m.	m.	NOUN
cana-3826	420	7	,	,	PUNCT
cana-3826	420	8	ahsan	ahsan	PROPN
cana-3826	420	9	,	,	PUNCT
cana-3826	420	10	m.	m.	NOUN
cana-3826	420	11	,	,	PUNCT
cana-3826	420	12	siddique	siddique	PROPN
cana-3826	420	13	,	,	PUNCT
cana-3826	420	14	m.k	m.k	PROPN
cana-3826	420	15	.	.	PROPN
cana-3826	420	16	,	,	PUNCT
cana-3826	420	17	ahmad	ahmad	PROPN
cana-3826	420	18	m.r	m.r	PROPN
cana-3826	420	19	.	.	PROPN
cana-3826	420	20	,	,	PUNCT
cana-3826	420	21	a	a	DET
cana-3826	420	22	study	study	NOUN
cana-3826	420	23	of	of	ADP
cana-3826	420	24	the	the	DET
cana-3826	420	25	fundamentals	fundamental	NOUN
cana-3826	420	26	of	of	ADP
cana-3826	420	27	hypersoft	hypersoft	NOUN
cana-3826	420	28	set	set	VERB
cana-3826	420	29	theory	theory	NOUN
cana-3826	420	30	,	,	PUNCT
cana-3826	420	31	international	international	ADJ
cana-3826	420	32	journal	journal	NOUN
cana-3826	420	33	of	of	ADP
cana-3826	420	34	scientific	scientific	ADJ
cana-3826	420	35	engineering	engineering	NOUN
cana-3826	420	36	research	research	NOUN
cana-3826	420	37	,	,	PUNCT
cana-3826	420	38	11	11	NUM
cana-3826	420	39	(	(	PUNCT
cana-3826	420	40	1	1	NUM
cana-3826	420	41	)	)	PUNCT
cana-3826	420	42	,	,	PUNCT
cana-3826	420	43	(	(	PUNCT
cana-3826	420	44	2020	2020	NUM
cana-3826	420	45	)	)	PUNCT
cana-3826	420	46	.	.	PUNCT
cana-3826	421	1	[	[	X
cana-3826	421	2	21	21	NUM
cana-3826	421	3	]	]	X
cana-3826	421	4	m.	m.	PROPN
cana-3826	421	5	saeed	saeed	PROPN
cana-3826	421	6	,	,	PUNCT
cana-3826	421	7	a.	a.	PROPN
cana-3826	421	8	u.	u.	PROPN
cana-3826	421	9	rahman	rahman	PROPN
cana-3826	421	10	,	,	PUNCT
cana-3826	421	11	m.	m.	PROPN
cana-3826	421	12	ahsan	ahsan	PROPN
cana-3826	421	13	,	,	PUNCT
cana-3826	421	14	f.	f.	PROPN
cana-3826	421	15	smarandache	smarandache	PROPN
cana-3826	421	16	,	,	PUNCT
cana-3826	421	17	an	an	DET
cana-3826	421	18	inclusive	inclusive	ADJ
cana-3826	421	19	study	study	NOUN
cana-3826	421	20	on	on	ADP
cana-3826	421	21	fundamentals	fundamental	NOUN
cana-3826	421	22	of	of	ADP
cana-3826	421	23	hypersoft	hypersoft	NOUN
cana-3826	421	24	set	set	NOUN
cana-3826	421	25	,	,	PUNCT
cana-3826	421	26	theory	theory	NOUN
cana-3826	421	27	and	and	CCONJ
cana-3826	421	28	applications	application	NOUN
cana-3826	421	29	of	of	ADP
cana-3826	421	30	hypersoft	hypersoft	NOUN
cana-3826	421	31	set	set	NOUN
cana-3826	421	32	,	,	PUNCT
cana-3826	421	33	pons	pon	NOUN
cana-3826	421	34	publishing	publishing	NOUN
cana-3826	421	35	house	house	PROPN
cana-3826	421	36	,	,	PUNCT
cana-3826	421	37	brussels	brussels	PROPN
cana-3826	421	38	,	,	PUNCT
cana-3826	421	39	(	(	PUNCT
cana-3826	421	40	2021	2021	NUM
cana-3826	421	41	)	)	PUNCT
cana-3826	421	42	,	,	PUNCT
cana-3826	421	43	18	18	NUM
cana-3826	421	44	-	-	SYM
cana-3826	421	45	23	23	NUM
cana-3826	421	46	.	.	PUNCT
cana-3826	422	1	[	[	X
cana-3826	422	2	22	22	NUM
cana-3826	422	3	]	]	PUNCT
cana-3826	422	4	s.	s.	PROPN
cana-3826	422	5	saha	saha	PROPN
cana-3826	422	6	,	,	PUNCT
cana-3826	422	7	fuzzy	fuzzy	ADJ
cana-3826	422	8	θ	θ	ADJ
cana-3826	422	9	-	-	ADJ
cana-3826	422	10	continuous	continuous	ADJ
cana-3826	422	11	mappings	mapping	NOUN
cana-3826	422	12	,	,	PUNCT
cana-3826	422	13	journal	journal	NOUN
cana-3826	422	14	of	of	ADP
cana-3826	422	15	mathematical	mathematical	ADJ
cana-3826	422	16	analysis	analysis	NOUN
cana-3826	422	17	and	and	CCONJ
cana-3826	422	18	applications	application	NOUN
cana-3826	422	19	,	,	PUNCT
cana-3826	422	20	126	126	NUM
cana-3826	422	21	(	(	PUNCT
cana-3826	422	22	1987	1987	NUM
cana-3826	422	23	)	)	PUNCT
cana-3826	422	24	,	,	PUNCT
cana-3826	422	25	130	130	NUM
cana-3826	422	26	-	-	SYM
cana-3826	422	27	142	142	NUM
cana-3826	422	28	.	.	PUNCT
cana-3826	423	1	[	[	X
cana-3826	423	2	23	23	NUM
cana-3826	423	3	]	]	PUNCT
cana-3826	423	4	m.	m.	NOUN
cana-3826	423	5	shabir	shabir	PROPN
cana-3826	423	6	and	and	CCONJ
cana-3826	423	7	m.	m.	PROPN
cana-3826	423	8	naz	naz	PROPN
cana-3826	423	9	,	,	PUNCT
cana-3826	423	10	on	on	ADP
cana-3826	423	11	soft	soft	ADJ
cana-3826	423	12	topological	topological	ADJ
cana-3826	423	13	spaces	space	NOUN
cana-3826	423	14	,	,	PUNCT
cana-3826	423	15	comput	comput	NOUN
cana-3826	423	16	.	.	PUNCT
cana-3826	424	1	math	math	NOUN
cana-3826	424	2	.	.	PUNCT
cana-3826	425	1	appl	appl	PROPN
cana-3826	425	2	.	.	PROPN
cana-3826	425	3	,	,	PUNCT
cana-3826	425	4	61	61	NUM
cana-3826	425	5	,	,	PUNCT
cana-3826	425	6	(	(	PUNCT
cana-3826	425	7	2011	2011	NUM
cana-3826	425	8	)	)	PUNCT
cana-3826	425	9	,	,	PUNCT
cana-3826	425	10	1786	1786	NUM
cana-3826	425	11	-	-	SYM
cana-3826	425	12	1799	1799	NUM
cana-3826	425	13	.	.	PUNCT
cana-3826	426	1	[	[	X
cana-3826	426	2	24	24	NUM
cana-3826	426	3	]	]	X
cana-3826	426	4	f.	f.	PROPN
cana-3826	426	5	smarandache	smarandache	PROPN
cana-3826	426	6	,	,	PUNCT
cana-3826	426	7	extension	extension	NOUN
cana-3826	426	8	of	of	ADP
cana-3826	426	9	soft	soft	ADJ
cana-3826	426	10	set	set	NOUN
cana-3826	426	11	to	to	ADP
cana-3826	426	12	hypersoft	hypersoft	PROPN
cana-3826	426	13	set	set	PROPN
cana-3826	426	14	,	,	PUNCT
cana-3826	426	15	and	and	CCONJ
cana-3826	426	16	then	then	ADV
cana-3826	426	17	to	to	ADP
cana-3826	426	18	plithogenic	plithogenic	ADJ
cana-3826	426	19	hypersoft	hypersoft	PROPN
cana-3826	426	20	set	set	NOUN
cana-3826	426	21	,	,	PUNCT
cana-3826	426	22	neutrosophic	neutrosophic	ADJ
cana-3826	426	23	sets	set	NOUN
cana-3826	426	24	and	and	CCONJ
cana-3826	426	25	systems	system	NOUN
cana-3826	426	26	,	,	PUNCT
cana-3826	426	27	22	22	NUM
cana-3826	426	28	,	,	PUNCT
cana-3826	426	29	(	(	PUNCT
cana-3826	426	30	2018	2018	NUM
cana-3826	426	31	)	)	PUNCT
cana-3826	426	32	,	,	PUNCT
cana-3826	426	33	168	168	NUM
cana-3826	426	34	-	-	SYM
cana-3826	426	35	170	170	NUM
cana-3826	426	36	.	.	PUNCT
cana-3826	427	1	[	[	X
cana-3826	427	2	25	25	NUM
cana-3826	427	3	]	]	X
cana-3826	427	4	p.	p.	PROPN
cana-3826	427	5	surendra	surendra	PROPN
cana-3826	427	6	,	,	PUNCT
cana-3826	427	7	k.	k.	PROPN
cana-3826	427	8	chitirakala	chitirakala	PROPN
cana-3826	427	9	and	and	CCONJ
cana-3826	427	10	a.	a.	NOUN
cana-3826	427	11	vadivel	vadivel	PROPN
cana-3826	427	12	,	,	PUNCT
cana-3826	427	13	δ	δ	NOUN
cana-3826	427	14	-	-	ADJ
cana-3826	427	15	open	open	ADJ
cana-3826	427	16	sets	set	NOUN
cana-3826	427	17	in	in	ADP
cana-3826	427	18	neutrosophic	neutrosophic	ADJ
cana-3826	427	19	hypersoft	hypersoft	PROPN
cana-3826	427	20	topological	topological	ADJ
cana-3826	427	21	spaces	space	NOUN
cana-3826	427	22	,	,	PUNCT
cana-3826	427	23	international	international	ADJ
cana-3826	427	24	journal	journal	NOUN
cana-3826	427	25	of	of	ADP
cana-3826	427	26	neutrosophic	neutrosophic	ADJ
cana-3826	427	27	science	science	NOUN
cana-3826	427	28	,	,	PUNCT
cana-3826	427	29	20	20	NUM
cana-3826	427	30	(	(	PUNCT
cana-3826	427	31	4	4	NUM
cana-3826	427	32	)	)	PUNCT
cana-3826	427	33	,	,	PUNCT
cana-3826	427	34	(	(	PUNCT
cana-3826	427	35	2023	2023	NUM
cana-3826	427	36	)	)	PUNCT
cana-3826	427	37	,	,	PUNCT
cana-3826	427	38	93	93	NUM
cana-3826	427	39	-	-	SYM
cana-3826	427	40	105	105	NUM
cana-3826	427	41	.	.	PUNCT
cana-3826	428	1	[	[	X
cana-3826	428	2	26	26	NUM
cana-3826	428	3	]	]	X
cana-3826	428	4	p.	p.	PROPN
cana-3826	428	5	surendra	surendra	PROPN
cana-3826	428	6	,	,	PUNCT
cana-3826	428	7	a.	a.	NOUN
cana-3826	428	8	vadivel	vadivel	NOUN
cana-3826	428	9	and	and	CCONJ
cana-3826	428	10	k.	k.	PROPN
cana-3826	428	11	chitirakala	chitirakala	PROPN
cana-3826	428	12	,	,	PUNCT
cana-3826	428	13	δ	δ	PROPN
cana-3826	428	14	-	-	PUNCT
cana-3826	428	15	separation	separation	NOUN
cana-3826	428	16	axioms	axiom	NOUN
cana-3826	428	17	on	on	ADP
cana-3826	428	18	fuzzy	fuzzy	ADJ
cana-3826	428	19	hypersoft	hypersoft	PROPN
cana-3826	428	20	topological	topological	ADJ
cana-3826	428	21	spaces	space	NOUN
cana-3826	428	22	,	,	PUNCT
cana-3826	428	23	international	international	ADJ
cana-3826	428	24	journal	journal	NOUN
cana-3826	428	25	of	of	ADP
cana-3826	428	26	neutrosophic	neutrosophic	ADJ
cana-3826	428	27	science	science	NOUN
cana-3826	428	28	,	,	PUNCT
cana-3826	428	29	23	23	NUM
cana-3826	428	30	(	(	PUNCT
cana-3826	428	31	1	1	NUM
cana-3826	428	32	)	)	PUNCT
cana-3826	428	33	,	,	PUNCT
cana-3826	428	34	(	(	PUNCT
cana-3826	428	35	2024	2024	NUM
cana-3826	428	36	)	)	PUNCT
cana-3826	428	37	,	,	PUNCT
cana-3826	428	38	17	17	NUM
cana-3826	428	39	-	-	SYM
cana-3826	428	40	26	26	NUM
cana-3826	428	41	.	.	PUNCT
cana-3826	429	1	[	[	X
cana-3826	429	2	27	27	NUM
cana-3826	429	3	]	]	PUNCT
cana-3826	429	4	a.	a.	NOUN
cana-3826	429	5	vadivel	vadivel	NOUN
cana-3826	429	6	,	,	PUNCT
cana-3826	429	7	m.	m.	NOUN
cana-3826	429	8	seenivasan	seenivasan	NOUN
cana-3826	429	9	and	and	CCONJ
cana-3826	429	10	c.	c.	PROPN
cana-3826	429	11	john	john	PROPN
cana-3826	429	12	sundar	sundar	PROPN
cana-3826	429	13	,	,	PUNCT
cana-3826	429	14	an	an	DET
cana-3826	429	15	introduction	introduction	NOUN
cana-3826	429	16	to	to	ADP
cana-3826	429	17	δ	δ	NOUN
cana-3826	429	18	-	-	PUNCT
cana-3826	429	19	open	open	ADJ
cana-3826	429	20	sets	set	NOUN
cana-3826	429	21	in	in	ADP
cana-3826	429	22	a	a	DET
cana-3826	429	23	neutrosophic	neutrosophic	ADJ
cana-3826	429	24	topological	topological	ADJ
cana-3826	429	25	spaces	space	NOUN
cana-3826	429	26	,	,	PUNCT
cana-3826	429	27	journal	journal	NOUN
cana-3826	429	28	of	of	ADP
cana-3826	429	29	physics	physics	PROPN
cana-3826	429	30	:	:	PUNCT
cana-3826	429	31	conference	conference	NOUN
cana-3826	429	32	series	series	NOUN
cana-3826	429	33	,	,	PUNCT
cana-3826	429	34	1724	1724	NUM
cana-3826	429	35	(	(	PUNCT
cana-3826	429	36	2021	2021	NUM
cana-3826	429	37	)	)	PUNCT
cana-3826	429	38	,	,	PUNCT
cana-3826	429	39	012011	012011	NUM
cana-3826	429	40	.	.	PUNCT
cana-3826	430	1	[	[	X
cana-3826	430	2	28	28	NUM
cana-3826	430	3	]	]	PUNCT
cana-3826	430	4	n.v.velicko	n.v.velicko	NOUN
cana-3826	430	5	,	,	PUNCT
cana-3826	430	6	h	h	NOUN
cana-3826	430	7	-	-	PUNCT
cana-3826	430	8	closed	closed	ADJ
cana-3826	430	9	topological	topological	ADJ
cana-3826	430	10	spaces	space	NOUN
cana-3826	430	11	,	,	PUNCT
cana-3826	430	12	amer	amer	PROPN
cana-3826	430	13	.	.	PROPN
cana-3826	430	14	math	math	PROPN
cana-3826	430	15	.	.	PUNCT
cana-3826	431	1	soc	soc	PROPN
cana-3826	431	2	.	.	PUNCT
cana-3826	432	1	transl	transl	PROPN
cana-3826	432	2	.	.	PUNCT
cana-3826	432	3	,	,	PUNCT
cana-3826	432	4	78	78	NUM
cana-3826	432	5	(	(	PUNCT
cana-3826	432	6	no	no	DET
cana-3826	432	7	2	2	NUM
cana-3826	432	8	)	)	PUNCT
cana-3826	432	9	,	,	PUNCT
cana-3826	432	10	(	(	PUNCT
cana-3826	432	11	1968),103	1968),103	NUM
cana-3826	432	12	-	-	SYM
cana-3826	432	13	118	118	NUM
cana-3826	432	14	.	.	PUNCT
cana-3826	433	1	[	[	X
cana-3826	433	2	29	29	NUM
cana-3826	433	3	]	]	X
cana-3826	433	4	l.	l.	PROPN
cana-3826	433	5	a.	a.	PROPN
cana-3826	433	6	zadeh	zadeh	PROPN
cana-3826	433	7	,	,	PUNCT
cana-3826	433	8	fuzzy	fuzzy	ADJ
cana-3826	433	9	sets	set	NOUN
cana-3826	433	10	,	,	PUNCT
cana-3826	433	11	information	information	NOUN
cana-3826	433	12	and	and	CCONJ
cana-3826	433	13	control	control	NOUN
cana-3826	433	14	,	,	PUNCT
cana-3826	433	15	8	8	NUM
cana-3826	433	16	(	(	PUNCT
cana-3826	433	17	3	3	NUM
cana-3826	433	18	)	)	PUNCT
cana-3826	433	19	,	,	PUNCT
cana-3826	433	20	(	(	PUNCT
cana-3826	433	21	1965	1965	NUM
cana-3826	433	22	)	)	PUNCT
cana-3826	433	23	,	,	PUNCT
cana-3826	433	24	338	338	NUM
cana-3826	433	25	-	-	SYM
cana-3826	433	26	353	353	NUM
cana-3826	433	27	.	.	PUNCT