id	sid	tid	token	lemma	pos
cana-3295	1	1	communications	communication	NOUN
cana-3295	1	2	on	on	ADP
cana-3295	1	3	applied	apply	VERB
cana-3295	1	4	nonlinear	nonlinear	ADJ
cana-3295	1	5	analysis	analysis	NOUN
cana-3295	1	6	issn	issn	NOUN
cana-3295	1	7	:	:	PUNCT
cana-3295	1	8	1074	1074	NUM
cana-3295	1	9	-	-	PUNCT
cana-3295	1	10	133x	133x	NUM
cana-3295	1	11	vol	vol	NOUN
cana-3295	1	12	32	32	NUM
cana-3295	1	13	no	no	NOUN
cana-3295	1	14	.	.	PUNCT
cana-3295	2	1	6s	6s	NUM
cana-3295	2	2	(	(	PUNCT
cana-3295	2	3	2025	2025	NUM
cana-3295	2	4	)	)	PUNCT
cana-3295	2	5	290	290	NUM
cana-3295	3	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-3295	3	2	pythagorean	pythagorean	PROPN
cana-3295	3	3	neutrosophic	neutrosophic	PROPN
cana-3295	3	4	cubic	cubic	PROPN
cana-3295	3	5	set	set	VERB
cana-3295	3	6	1berna	1berna	NUM
cana-3295	3	7	joyce	joyce	PROPN
cana-3295	3	8	l	l	PROPN
cana-3295	3	9	,	,	PUNCT
cana-3295	3	10	2dr.elvina	2dr.elvina	PROPN
cana-3295	3	11	mary	mary	PROPN
cana-3295	3	12	l	l	PROPN
cana-3295	3	13	1	1	NUM
cana-3295	3	14	,	,	PUNCT
cana-3295	3	15	2pg	2pg	ADJ
cana-3295	3	16	and	and	CCONJ
cana-3295	3	17	research	research	NOUN
cana-3295	3	18	department	department	PROPN
cana-3295	3	19	of	of	ADP
cana-3295	3	20	mathematics	mathematics	PROPN
cana-3295	3	21	,	,	PUNCT
cana-3295	3	22	nirmala	nirmala	PROPN
cana-3295	3	23	college	college	PROPN
cana-3295	3	24	for	for	ADP
cana-3295	3	25	women	woman	NOUN
cana-3295	3	26	,	,	PUNCT
cana-3295	3	27	coimbatore	coimbatore	PROPN
cana-3295	3	28	,	,	PUNCT
cana-3295	3	29	india	india	PROPN
cana-3295	3	30	.	.	PUNCT
cana-3295	4	1	email	email	NOUN
cana-3295	5	1	i	i	PROPN
cana-3295	5	2	d	d	PROPN
cana-3295	5	3	:	:	PUNCT
cana-3295	6	1	bernajoyceslr@gmail.com1	bernajoyceslr@gmail.com1	PROPN
cana-3295	6	2	,	,	PUNCT
cana-3295	6	3	corresponding	corresponding	ADJ
cana-3295	6	4	author	author	NOUN
cana-3295	6	5	:	:	PUNCT
cana-3295	6	6	elvinalawrence07@gmail.com	elvinalawrence07@gmail.com	X
cana-3295	6	7	article	article	NOUN
cana-3295	6	8	history	history	NOUN
cana-3295	6	9	:	:	PUNCT
cana-3295	6	10	received	receive	VERB
cana-3295	6	11	:	:	PUNCT
cana-3295	6	12	19	19	NUM
cana-3295	6	13	-	-	SYM
cana-3295	6	14	10	10	NUM
cana-3295	6	15	-	-	PUNCT
cana-3295	6	16	2024	2024	NUM
cana-3295	6	17	revised	revise	VERB
cana-3295	6	18	:	:	PUNCT
cana-3295	6	19	03	03	NUM
cana-3295	6	20	-	-	SYM
cana-3295	6	21	12	12	NUM
cana-3295	6	22	-	-	PUNCT
cana-3295	6	23	2024	2024	NUM
cana-3295	6	24	accepted	accept	VERB
cana-3295	6	25	:	:	PUNCT
cana-3295	6	26	11	11	NUM
cana-3295	6	27	-	-	SYM
cana-3295	6	28	12	12	NUM
cana-3295	6	29	-	-	PUNCT
cana-3295	6	30	2024	2024	NUM
cana-3295	6	31	abstract	abstract	NOUN
cana-3295	6	32	:	:	PUNCT
cana-3295	6	33	the	the	DET
cana-3295	6	34	purpose	purpose	NOUN
cana-3295	6	35	of	of	ADP
cana-3295	6	36	this	this	DET
cana-3295	6	37	work	work	NOUN
cana-3295	6	38	is	be	AUX
cana-3295	6	39	to	to	PART
cana-3295	6	40	broaden	broaden	VERB
cana-3295	6	41	the	the	DET
cana-3295	6	42	definition	definition	NOUN
cana-3295	6	43	of	of	ADP
cana-3295	6	44	neutrosophic	neutrosophic	ADJ
cana-3295	6	45	cubic	cubic	ADJ
cana-3295	6	46	set	set	NOUN
cana-3295	6	47	(	(	PUNCT
cana-3295	6	48	ncs	ncs	PROPN
cana-3295	6	49	)	)	PUNCT
cana-3295	6	50	and	and	CCONJ
cana-3295	6	51	pythagorean	pythagorean	PROPN
cana-3295	6	52	cubic	cubic	PROPN
cana-3295	6	53	set	set	PROPN
cana-3295	6	54	(	(	PUNCT
cana-3295	6	55	pcs	pc	NOUN
cana-3295	6	56	)	)	PUNCT
cana-3295	6	57	to	to	PART
cana-3295	6	58	pythagorean	pythagorean	VERB
cana-3295	6	59	neutrosophic	neutrosophic	ADJ
cana-3295	6	60	cubic	cubic	ADJ
cana-3295	6	61	set	set	NOUN
cana-3295	6	62	(	(	PUNCT
cana-3295	6	63	pncs	pnc	NOUN
cana-3295	6	64	)	)	PUNCT
cana-3295	6	65	.	.	PUNCT
cana-3295	7	1	related	relate	VERB
cana-3295	7	2	qualities	quality	NOUN
cana-3295	7	3	are	be	AUX
cana-3295	7	4	examined	examine	VERB
cana-3295	7	5	and	and	CCONJ
cana-3295	7	6	the	the	DET
cana-3295	7	7	concepts	concept	NOUN
cana-3295	7	8	of	of	ADP
cana-3295	7	9	t	t	PROPN
cana-3295	7	10	-	-	PUNCT
cana-3295	7	11	external	external	ADJ
cana-3295	7	12	,	,	PUNCT
cana-3295	7	13	i	i	NOUN
cana-3295	7	14	-	-	PUNCT
cana-3295	7	15	external	external	ADJ
cana-3295	7	16	,	,	PUNCT
cana-3295	7	17	and	and	CCONJ
cana-3295	7	18	f	f	X
cana-3295	7	19	-	-	PUNCT
cana-3295	7	20	external	external	ADJ
cana-3295	7	21	pythagorean	pythagorean	PROPN
cana-3295	7	22	neutrosophic	neutrosophic	PROPN
cana-3295	7	23	cubic	cubic	ADJ
cana-3295	7	24	set	set	NOUN
cana-3295	7	25	(	(	PUNCT
cana-3295	7	26	pncs	pnc	NOUN
cana-3295	7	27	)	)	PUNCT
cana-3295	7	28	and	and	CCONJ
cana-3295	7	29	t	t	PROPN
cana-3295	7	30	-	-	PUNCT
cana-3295	7	31	internal	internal	ADJ
cana-3295	7	32	,	,	PUNCT
cana-3295	7	33	i	i	NOUN
cana-3295	7	34	-	-	PUNCT
cana-3295	7	35	internal	internal	ADJ
cana-3295	7	36	,	,	PUNCT
cana-3295	7	37	and	and	CCONJ
cana-3295	7	38	f	f	X
cana-3295	7	39	-	-	PUNCT
cana-3295	7	40	internal	internal	ADJ
cana-3295	7	41	pncs	pnc	NOUN
cana-3295	7	42	are	be	AUX
cana-3295	7	43	conveyed	convey	VERB
cana-3295	7	44	.	.	PUNCT
cana-3295	8	1	keywords	keyword	NOUN
cana-3295	8	2	:	:	PUNCT
cana-3295	8	3	pythaogrean	pythaogrean	ADJ
cana-3295	8	4	neutrosophic	neutrosophic	ADJ
cana-3295	8	5	cubic	cubic	ADJ
cana-3295	8	6	set	set	VERB
cana-3295	8	7	pythagorean	pythagorean	PROPN
cana-3295	8	8	neutrosophic	neutrosophic	PROPN
cana-3295	8	9	internal	internal	ADJ
cana-3295	8	10	cubic	cubic	ADJ
cana-3295	8	11	set	set	NOUN
cana-3295	8	12	,	,	PUNCT
cana-3295	8	13	pythagorean	pythagorean	PROPN
cana-3295	8	14	neutrosophic	neutrosophic	ADJ
cana-3295	8	15	external	external	ADJ
cana-3295	8	16	cubic	cubic	ADJ
cana-3295	8	17	set	set	NOUN
cana-3295	8	18	.	.	PUNCT
cana-3295	9	1	1	1	X
cana-3295	9	2	.	.	X
cana-3295	9	3	introduction	introduction	NOUN
cana-3295	9	4	zadeh[8	zadeh[8	NUM
cana-3295	9	5	]	]	PUNCT
cana-3295	9	6	established	establish	VERB
cana-3295	9	7	a	a	DET
cana-3295	9	8	foundation	foundation	NOUN
cana-3295	9	9	for	for	ADP
cana-3295	9	10	fuzzy	fuzzy	ADJ
cana-3295	9	11	mathematics	mathematic	NOUN
cana-3295	9	12	in	in	ADP
cana-3295	9	13	1965	1965	NUM
cana-3295	9	14	.	.	PUNCT
cana-3295	10	1	soon	soon	ADV
cana-3295	10	2	after	after	ADV
cana-3295	10	3	,	,	PUNCT
cana-3295	10	4	in	in	ADP
cana-3295	10	5	1975	1975	NUM
cana-3295	10	6	,	,	PUNCT
cana-3295	10	7	zadeh[8	zadeh[8	NUM
cana-3295	10	8	]	]	PUNCT
cana-3295	10	9	proposed	propose	VERB
cana-3295	10	10	a	a	DET
cana-3295	10	11	reconfiguration	reconfiguration	NOUN
cana-3295	10	12	of	of	ADP
cana-3295	10	13	fuzzy	fuzzy	ADJ
cana-3295	10	14	sets	set	NOUN
cana-3295	10	15	with	with	ADP
cana-3295	10	16	interval	interval	NOUN
cana-3295	10	17	valued	value	VERB
cana-3295	10	18	function	function	NOUN
cana-3295	10	19	membership	membership	NOUN
cana-3295	10	20	.	.	PUNCT
cana-3295	11	1	neutrosophic	neutrosophic	ADJ
cana-3295	11	2	sets	set	NOUN
cana-3295	11	3	were	be	AUX
cana-3295	11	4	initially	initially	ADV
cana-3295	11	5	defined	define	VERB
cana-3295	11	6	in	in	ADP
cana-3295	11	7	1995	1995	NUM
cana-3295	11	8	by	by	ADP
cana-3295	11	9	florentin	florentin	PROPN
cana-3295	11	10	smarandache[5	smarandache[5	PROPN
cana-3295	11	11	]	]	PUNCT
cana-3295	11	12	.	.	PUNCT
cana-3295	12	1	this	this	PRON
cana-3295	12	2	enables	enable	VERB
cana-3295	12	3	ambiguity	ambiguity	NOUN
cana-3295	12	4	and	and	CCONJ
cana-3295	12	5	uncertainty	uncertainty	NOUN
cana-3295	12	6	to	to	PART
cana-3295	12	7	be	be	AUX
cana-3295	12	8	handled	handle	VERB
cana-3295	12	9	more	more	ADV
cana-3295	12	10	thoroughly	thoroughly	ADV
cana-3295	12	11	.	.	PUNCT
cana-3295	13	1	in	in	ADP
cana-3295	13	2	the	the	DET
cana-3295	13	3	year	year	NOUN
cana-3295	13	4	2012	2012	NUM
cana-3295	13	5	,	,	PUNCT
cana-3295	13	6	the	the	DET
cana-3295	13	7	introduction	introduction	NOUN
cana-3295	13	8	of	of	ADP
cana-3295	13	9	the	the	DET
cana-3295	13	10	important	important	ADJ
cana-3295	13	11	theory	theory	NOUN
cana-3295	13	12	of	of	ADP
cana-3295	13	13	cubic	cubic	ADJ
cana-3295	13	14	sets	set	NOUN
cana-3295	13	15	was	be	AUX
cana-3295	13	16	defined	define	VERB
cana-3295	13	17	by	by	ADP
cana-3295	13	18	jun	jun	PROPN
cana-3295	13	19	et	et	PROPN
cana-3295	13	20	al[2	al[2	PROPN
cana-3295	13	21	]	]	PUNCT
cana-3295	13	22	.	.	PUNCT
cana-3295	14	1	in	in	ADP
cana-3295	14	2	2017	2017	NUM
cana-3295	14	3	,	,	PUNCT
cana-3295	14	4	chang	chang	PROPN
cana-3295	14	5	su	su	PROPN
cana-3295	14	6	kim	kim	PROPN
cana-3295	14	7	,	,	PUNCT
cana-3295	14	8	florentin	florentin	NOUN
cana-3295	14	9	smarandache	smarandache	NOUN
cana-3295	14	10	,	,	PUNCT
cana-3295	14	11	and	and	CCONJ
cana-3295	14	12	young	young	ADJ
cana-3295	14	13	bae	bae	PROPN
cana-3295	14	14	jun[3	jun[3	PROPN
cana-3295	14	15	]	]	PUNCT
cana-3295	14	16	presented	present	VERB
cana-3295	14	17	the	the	DET
cana-3295	14	18	an	an	DET
cana-3295	14	19	idea	idea	NOUN
cana-3295	14	20	of	of	ADP
cana-3295	14	21	neutrosophic	neutrosophic	ADJ
cana-3295	14	22	cubic	cubic	ADJ
cana-3295	14	23	sets	set	NOUN
cana-3295	14	24	.	.	PUNCT
cana-3295	15	1	yagar[7	yagar[7	ADP
cana-3295	15	2	]	]	X
cana-3295	15	3	first	first	ADV
cana-3295	15	4	presented	present	VERB
cana-3295	15	5	the	the	DET
cana-3295	15	6	pythagorean	pythagorean	PROPN
cana-3295	15	7	fuzzy	fuzzy	PROPN
cana-3295	15	8	set	set	NOUN
cana-3295	15	9	's	's	PART
cana-3295	15	10	evolution	evolution	NOUN
cana-3295	15	11	in	in	ADP
cana-3295	15	12	2013	2013	NUM
cana-3295	15	13	.	.	PUNCT
cana-3295	16	1	in	in	ADP
cana-3295	16	2	2019	2019	NUM
cana-3295	16	3	,	,	PUNCT
cana-3295	16	4	f.	f.	PROPN
cana-3295	16	5	khana	khana	PROPN
cana-3295	16	6	,	,	PUNCT
cana-3295	16	7	m.	m.	PROPN
cana-3295	16	8	s.	s.	PROPN
cana-3295	16	9	ali	ali	PROPN
cana-3295	16	10	khana	khana	PROPN
cana-3295	16	11	,	,	PUNCT
cana-3295	16	12	m.	m.	PROPN
cana-3295	16	13	shahzada	shahzada	PROPN
cana-3295	16	14	,	,	PUNCT
cana-3295	16	15	and	and	CCONJ
cana-3295	16	16	s.	s.	PROPN
cana-3295	16	17	abdullah[4	abdullah[4	PROPN
cana-3295	16	18	]	]	PUNCT
cana-3295	16	19	gave	give	VERB
cana-3295	16	20	a	a	DET
cana-3295	16	21	concept	concept	NOUN
cana-3295	16	22	of	of	ADP
cana-3295	16	23	the	the	DET
cana-3295	16	24	pythagorean	pythagorean	PROPN
cana-3295	16	25	cubic	cubic	ADJ
cana-3295	16	26	fuzzy	fuzzy	ADJ
cana-3295	16	27	set	set	PROPN
cana-3295	16	28	.	.	PUNCT
cana-3295	17	1	r.	r.	PROPN
cana-3295	17	2	jhansi	jhansi	PROPN
cana-3295	17	3	&	&	CCONJ
cana-3295	17	4	k.	k.	PROPN
cana-3295	17	5	mohana[1	mohana[1	PROPN
cana-3295	17	6	]	]	PUNCT
cana-3295	17	7	proposed	propose	VERB
cana-3295	17	8	the	the	DET
cana-3295	17	9	neutrosophic	neutrosophic	ADJ
cana-3295	17	10	pythagorean	pythagorean	PROPN
cana-3295	17	11	sets	set	NOUN
cana-3295	17	12	.	.	PUNCT
cana-3295	18	1	the	the	DET
cana-3295	18	2	interval	interval	NOUN
cana-3295	18	3	-	-	PUNCT
cana-3295	18	4	valued	value	VERB
cana-3295	18	5	neutrosophic	neutrosophic	ADJ
cana-3295	18	6	pythagorean	pythagorean	PROPN
cana-3295	18	7	sets	set	NOUN
cana-3295	18	8	were	be	AUX
cana-3295	18	9	presented	present	VERB
cana-3295	18	10	by	by	ADP
cana-3295	18	11	stephy	stephy	PROPN
cana-3295	18	12	et	et	PROPN
cana-3295	18	13	al[6	al[6	PROPN
cana-3295	18	14	]	]	PUNCT
cana-3295	18	15	.	.	PUNCT
cana-3295	19	1	this	this	DET
cana-3295	19	2	article	article	NOUN
cana-3295	19	3	tries	try	VERB
cana-3295	19	4	to	to	PART
cana-3295	19	5	establish	establish	VERB
cana-3295	19	6	an	an	DET
cana-3295	19	7	innovative	innovative	ADJ
cana-3295	19	8	concept	concept	NOUN
cana-3295	19	9	known	know	VERB
cana-3295	19	10	as	as	ADP
cana-3295	19	11	pythagorean	pythagorean	PROPN
cana-3295	19	12	neutrosophic	neutrosophic	ADJ
cana-3295	19	13	cubic	cubic	ADJ
cana-3295	19	14	sets	set	NOUN
cana-3295	19	15	(	(	PUNCT
cana-3295	19	16	pncs	pnc	NOUN
cana-3295	19	17	)	)	PUNCT
cana-3295	19	18	which	which	PRON
cana-3295	19	19	is	be	AUX
cana-3295	19	20	a	a	DET
cana-3295	19	21	combination	combination	NOUN
cana-3295	19	22	of	of	ADP
cana-3295	19	23	pns	pns	NOUN
cana-3295	19	24	and	and	CCONJ
cana-3295	19	25	pnivs	pnivs	NOUN
cana-3295	19	26	.	.	PUNCT
cana-3295	20	1	2	2	X
cana-3295	20	2	.	.	X
cana-3295	20	3	preliminaries	preliminary	NOUN
cana-3295	20	4	definition	definition	NOUN
cana-3295	20	5	2.1[2	2.1[2	NUM
cana-3295	20	6	]	]	PUNCT
cana-3295	20	7	if	if	SCONJ
cana-3295	20	8	ι̂	ι̂	NUM
cana-3295	20	9	≠	≠	PROPN
cana-3295	20	10	𝜙.	𝜙.	NOUN
cana-3295	20	11	then	then	ADV
cana-3295	20	12	a	a	DET
cana-3295	20	13	cubic	cubic	ADJ
cana-3295	20	14	set	set	NOUN
cana-3295	20	15	,	,	PUNCT
cana-3295	20	16	�	�	PROPN
cana-3295	20	17	̂	̂	NOUN
cana-3295	20	18	�	�	NOUN
cana-3295	20	19	𝐶𝑆	𝐶𝑆	ADP
cana-3295	20	20	=	=	SYM
cana-3295	20	21	{	{	PUNCT
cana-3295	20	22	〈	〈	PROPN
cana-3295	20	23	𝑖̂	𝑖̂	PROPN
cana-3295	20	24	,	,	PUNCT
cana-3295	20	25	�	�	PROPN
cana-3295	20	26	̂	̂	NOUN
cana-3295	20	27	�	�	NOUN
cana-3295	20	28	𝐹𝐼𝑆(𝑖̂	𝐹𝐼𝑆(𝑖̂	NUM
cana-3295	20	29	)	)	PUNCT
cana-3295	20	30	,	,	PUNCT
cana-3295	20	31	�	�	PROPN
cana-3295	20	32	̂	̂	SYM
cana-3295	20	33	�	�	NOUN
cana-3295	20	34	𝐹𝑆(𝑖̂	𝐹𝑆(𝑖̂	NOUN
cana-3295	20	35	)	)	PUNCT
cana-3295	20	36	〉	〉	NOUN
cana-3295	20	37	:	:	PUNCT
cana-3295	20	38	𝑖̂	𝑖̂	X
cana-3295	20	39	∈	∈	PROPN
cana-3295	20	40	ι̂	ι̂	NOUN
cana-3295	20	41	}	}	PUNCT
cana-3295	20	42	where	where	SCONJ
cana-3295	20	43	�	�	PROPN
cana-3295	20	44	̂	̂	SYM
cana-3295	20	45	�	�	NOUN
cana-3295	20	46	𝐹𝐼𝑆(𝑖̂	𝐹𝐼𝑆(𝑖̂	NUM
cana-3295	20	47	)	)	PUNCT
cana-3295	20	48	is	be	AUX
cana-3295	20	49	ivfs	ivfs	NOUN
cana-3295	20	50	,	,	PUNCT
cana-3295	20	51	�	�	PROPN
cana-3295	20	52	̂	̂	SYM
cana-3295	20	53	�	�	NOUN
cana-3295	20	54	𝐹𝑆(𝑖̂	𝐹𝑆(𝑖̂	NUM
cana-3295	20	55	)	)	PUNCT
cana-3295	20	56	is	be	AUX
cana-3295	20	57	a	a	DET
cana-3295	20	58	fuzzy	fuzzy	ADJ
cana-3295	20	59	set	set	NOUN
cana-3295	20	60	.	.	PUNCT
cana-3295	21	1	definition	definition	NOUN
cana-3295	21	2	2.2[2	2.2[2	NUM
cana-3295	21	3	]	]	PUNCT
cana-3295	21	4	let	let	VERB
cana-3295	21	5	ι̂	ι̂	PUNCT
cana-3295	21	6	≠	≠	PRON
cana-3295	21	7	𝜙.	𝜙.	VERB
cana-3295	21	8	a	a	DET
cana-3295	21	9	cubic	cubic	ADJ
cana-3295	21	10	set	set	VERB
cana-3295	21	11	�	�	PROPN
cana-3295	21	12	̂	̂	NOUN
cana-3295	21	13	�	�	NOUN
cana-3295	21	14	𝐶𝑆	𝐶𝑆	ADP
cana-3295	21	15	=	=	SYM
cana-3295	21	16	〈	〈	PROPN
cana-3295	21	17	�	�	PROPN
cana-3295	21	18	̂	̂	NOUN
cana-3295	21	19	�	�	NOUN
cana-3295	21	20	𝐹𝐼𝑆(𝑖̂	𝐹𝐼𝑆(𝑖̂	NUM
cana-3295	21	21	)	)	PUNCT
cana-3295	21	22	,	,	PUNCT
cana-3295	21	23	�	�	PROPN
cana-3295	21	24	̂	̂	SYM
cana-3295	21	25	�	�	NOUN
cana-3295	21	26	𝐹𝑆(𝑖̂	𝐹𝑆(𝑖̂	NOUN
cana-3295	21	27	)	)	PUNCT
cana-3295	21	28	〉	〉	NOUN
cana-3295	21	29	in	in	ADP
cana-3295	21	30	ι̂	ι̂	NUM
cana-3295	21	31	is	be	AUX
cana-3295	21	32	called	call	VERB
cana-3295	21	33	an	an	DET
cana-3295	21	34	ics	ics	NOUN
cana-3295	21	35	if	if	SCONJ
cana-3295	21	36	�	�	PROPN
cana-3295	21	37	̂	̂	SYM
cana-3295	21	38	�	�	NOUN
cana-3295	21	39	𝐹𝐼𝑆	𝐹𝐼𝑆	PRON
cana-3295	21	40	−	−	PROPN
cana-3295	21	41	(	(	PUNCT
cana-3295	21	42	𝑖̂	𝑖̂	NOUN
cana-3295	21	43	)	)	PUNCT
cana-3295	21	44	≤	≤	NUM
cana-3295	21	45	�	�	SYM
cana-3295	21	46	̂	̂	VERB
cana-3295	21	47	�	�	NOUN
cana-3295	21	48	𝐹𝑆(𝑖̂	𝐹𝑆(𝑖̂	NUM
cana-3295	21	49	)	)	PUNCT
cana-3295	21	50	≤	≤	NUM
cana-3295	21	51	�	�	SYM
cana-3295	21	52	̂	̂	VERB
cana-3295	21	53	�	�	NOUN
cana-3295	21	54	𝐹𝐼𝑆	𝐹𝐼𝑆	PROPN
cana-3295	21	55	+	+	CCONJ
cana-3295	21	56	(	(	PUNCT
cana-3295	21	57	𝑖̂	𝑖̂	NUM
cana-3295	21	58	)	)	PUNCT
cana-3295	21	59	for	for	ADP
cana-3295	21	60	all	all	PRON
cana-3295	21	61	𝑖̂	𝑖̂	PUNCT
cana-3295	21	62	∈	∈	PROPN
cana-3295	21	63	ι̂.	ι̂.	NOUN
cana-3295	21	64	definition	definition	NOUN
cana-3295	21	65	2.3	2.3	NUM
cana-3295	22	1	[	[	X
cana-3295	22	2	2	2	X
cana-3295	22	3	]	]	PUNCT
cana-3295	22	4	if	if	SCONJ
cana-3295	22	5	ι̂	ι̂	PRON
cana-3295	22	6	≠	≠	PROPN
cana-3295	23	1	𝜙	𝜙	PRON
cana-3295	23	2	set	set	VERB
cana-3295	23	3	.	.	PUNCT
cana-3295	24	1	a	a	DET
cana-3295	24	2	cubic	cubic	ADJ
cana-3295	24	3	set	set	VERB
cana-3295	24	4	�	�	PROPN
cana-3295	24	5	̂	̂	NOUN
cana-3295	24	6	�	�	NOUN
cana-3295	24	7	𝐶𝑆	𝐶𝑆	ADP
cana-3295	24	8	=	=	SYM
cana-3295	24	9	〈	〈	PROPN
cana-3295	24	10	�	�	PROPN
cana-3295	24	11	̂	̂	NOUN
cana-3295	24	12	�	�	NOUN
cana-3295	24	13	𝐹𝐼𝑆(𝑖̂	𝐹𝐼𝑆(𝑖̂	NUM
cana-3295	24	14	)	)	PUNCT
cana-3295	24	15	,	,	PUNCT
cana-3295	24	16	ℓ̂𝐹𝑆(𝑖̂	ℓ̂𝐹𝑆(𝑖̂	PROPN
cana-3295	24	17	)	)	PUNCT
cana-3295	24	18	〉	〉	NOUN
cana-3295	24	19	in	in	ADP
cana-3295	24	20	x	x	PROPN
cana-3295	24	21	is	be	AUX
cana-3295	24	22	called	call	VERB
cana-3295	24	23	an	an	DET
cana-3295	24	24	ecs	ecs	NOUN
cana-3295	24	25	if	if	SCONJ
cana-3295	24	26	�	�	PROPN
cana-3295	24	27	̂	̂	SYM
cana-3295	24	28	�	�	NOUN
cana-3295	24	29	𝐹𝑆(𝑖̂	𝐹𝑆(𝑖̂	NUM
cana-3295	24	30	)	)	PUNCT
cana-3295	24	31	∉	∉	PROPN
cana-3295	24	32	(	(	PUNCT
cana-3295	24	33	�	�	PROPN
cana-3295	24	34	̂	̂	SYM
cana-3295	24	35	�	�	NOUN
cana-3295	24	36	𝐹𝐼𝑆	𝐹𝐼𝑆	PRON
cana-3295	24	37	−	−	PROPN
cana-3295	24	38	(	(	PUNCT
cana-3295	24	39	𝑖̂	𝑖̂	NUM
cana-3295	24	40	)	)	PUNCT
cana-3295	24	41	,	,	PUNCT
cana-3295	24	42	�	�	PROPN
cana-3295	24	43	̂	̂	NOUN
cana-3295	24	44	�	�	NOUN
cana-3295	24	45	𝐹𝐼𝑆	𝐹𝐼𝑆	PROPN
cana-3295	24	46	+	+	NUM
cana-3295	24	47	(	(	PUNCT
cana-3295	24	48	𝑖̂	𝑖̂	NUM
cana-3295	24	49	)	)	PUNCT
cana-3295	24	50	)	)	PUNCT
cana-3295	24	51	.	.	PUNCT
cana-3295	25	1	definition	definition	NOUN
cana-3295	25	2	2.4[1	2.4[1	NUM
cana-3295	25	3	]	]	PUNCT
cana-3295	25	4	let	let	VERB
cana-3295	25	5	ι̂	ι̂	PUNCT
cana-3295	25	6	≠	≠	PRON
cana-3295	25	7	𝜙.	𝜙.	NOUN
cana-3295	25	8	a	a	DET
cana-3295	25	9	pns	pns	NOUN
cana-3295	25	10	in	in	ADP
cana-3295	25	11	ι̂	ι̂	ADJ
cana-3295	25	12	𝑖𝑠	𝑖𝑠	PROPN
cana-3295	25	13	�	�	PROPN
cana-3295	25	14	̂	̂	NOUN
cana-3295	25	15	�	�	NOUN
cana-3295	25	16	𝑃𝑁𝑆	𝑃𝑁𝑆	NOUN
cana-3295	25	17	=	=	SYM
cana-3295	25	18	{	{	PUNCT
cana-3295	25	19	〈	〈	PROPN
cana-3295	25	20	𝑖̂	𝑖̂	PROPN
cana-3295	25	21	,	,	PUNCT
cana-3295	25	22	𝒯	𝒯	PROPN
cana-3295	25	23	�	�	PROPN
cana-3295	25	24	̂	̂	NOUN
cana-3295	25	25	�	�	NOUN
cana-3295	25	26	(𝑖̂	(𝑖̂	NOUN
cana-3295	25	27	)	)	PUNCT
cana-3295	25	28	,	,	PUNCT
cana-3295	25	29	ℐ	ℐ	PROPN
cana-3295	25	30	�	�	PROPN
cana-3295	25	31	̂	̂	SYM
cana-3295	25	32	�	�	NOUN
cana-3295	25	33	(𝑖)̂	(𝑖)̂	NUM
cana-3295	25	34	,	,	PUNCT
cana-3295	25	35	ℱ	ℱ	PROPN
cana-3295	25	36	�	�	PROPN
cana-3295	25	37	̂	̂	NOUN
cana-3295	25	38	�	�	NOUN
cana-3295	25	39	(𝑖̂	(𝑖̂	NOUN
cana-3295	25	40	)	)	PUNCT
cana-3295	25	41	〉	〉	NOUN
cana-3295	25	42	:	:	PUNCT
cana-3295	25	43	𝑖̂	𝑖̂	X
cana-3295	25	44	∈	∈	PROPN
cana-3295	25	45	ι̂	ι̂	NOUN
cana-3295	25	46	}	}	PUNCT
cana-3295	25	47	where	where	SCONJ
cana-3295	25	48	𝒯𝐴(𝑖)̂	𝒯𝐴(𝑖)̂	PROPN
cana-3295	25	49	,	,	PUNCT
cana-3295	25	50	ℐ	ℐ	PROPN
cana-3295	25	51	�	�	PROPN
cana-3295	25	52	̂	̂	SYM
cana-3295	25	53	�	�	NOUN
cana-3295	25	54	(𝑖̂	(𝑖̂	NOUN
cana-3295	25	55	)	)	PUNCT
cana-3295	25	56	,	,	PUNCT
cana-3295	25	57	ℱ	ℱ	PROPN
cana-3295	25	58	�	�	PROPN
cana-3295	25	59	̂	̂	NOUN
cana-3295	25	60	�	�	NOUN
cana-3295	25	61	(𝑖̂	(𝑖̂	NOUN
cana-3295	25	62	):	):	PUNCT
cana-3295	25	63	ι̂	ι̂	PUNCT
cana-3295	25	64	→	→	PUNCT
cana-3295	26	1	[	[	X
cana-3295	26	2	0,1	0,1	NUM
cana-3295	26	3	]	]	PUNCT
cana-3295	26	4	&	&	CCONJ
cana-3295	26	5	0	0	NUM
cana-3295	26	6	≤	≤	NOUN
cana-3295	26	7	(	(	PUNCT
cana-3295	26	8	𝒯	𝒯	PROPN
cana-3295	26	9	�	�	PROPN
cana-3295	26	10	̂	̂	NOUN
cana-3295	26	11	�	�	NOUN
cana-3295	26	12	(𝑖̂	(𝑖̂	NOUN
cana-3295	26	13	)	)	PUNCT
cana-3295	26	14	)	)	PUNCT
cana-3295	26	15	2	2	NUM
cana-3295	26	16	+	+	CCONJ
cana-3295	26	17	(	(	PUNCT
cana-3295	26	18	ℐ	ℐ	PROPN
cana-3295	26	19	�	�	PROPN
cana-3295	26	20	̂	̂	SYM
cana-3295	26	21	�	�	NOUN
cana-3295	26	22	(𝑖̂	(𝑖̂	NOUN
cana-3295	26	23	)	)	PUNCT
cana-3295	26	24	)	)	PUNCT
cana-3295	26	25	2	2	NUM
cana-3295	27	1	+	+	CCONJ
cana-3295	27	2	(	(	PUNCT
cana-3295	27	3	ℱ	ℱ	PROPN
cana-3295	27	4	�	�	PROPN
cana-3295	27	5	̂	̂	NOUN
cana-3295	27	6	�	�	NOUN
cana-3295	27	7	(𝑖̂	(𝑖̂	NOUN
cana-3295	27	8	)	)	PUNCT
cana-3295	27	9	)	)	PUNCT
cana-3295	27	10	2	2	NUM
cana-3295	27	11	≤	≤	NOUN
cana-3295	27	12	2	2	NUM
cana-3295	27	13	where	where	SCONJ
cana-3295	27	14	𝒯	𝒯	PROPN
cana-3295	27	15	�	�	PROPN
cana-3295	27	16	̂	̂	NOUN
cana-3295	27	17	�	�	NOUN
cana-3295	27	18	(𝑖̂	(𝑖̂	NOUN
cana-3295	27	19	)	)	PUNCT
cana-3295	27	20	denotes	denote	VERB
cana-3295	27	21	the	the	DET
cana-3295	27	22	degree	degree	NOUN
cana-3295	27	23	of	of	ADP
cana-3295	27	24	membership	membership	NOUN
cana-3295	27	25	,	,	PUNCT
cana-3295	27	26	,	,	PUNCT
cana-3295	27	27	ℐ	ℐ	PROPN
cana-3295	27	28	�	�	PROPN
cana-3295	27	29	̂	̂	SYM
cana-3295	27	30	�	�	NOUN
cana-3295	27	31	(𝑖̂	(𝑖̂	NOUN
cana-3295	27	32	)	)	PUNCT
cana-3295	27	33	denotes	denote	VERB
cana-3295	27	34	the	the	DET
cana-3295	27	35	degree	degree	NOUN
cana-3295	27	36	of	of	ADP
cana-3295	27	37	indeterminacy	indeterminacy	NOUN
cana-3295	27	38	and	and	CCONJ
cana-3295	27	39	ℱ	ℱ	PROPN
cana-3295	27	40	�	�	PROPN
cana-3295	27	41	̂	̂	VERB
cana-3295	27	42	�	�	PROPN
cana-3295	27	43	(𝑖)̂	(𝑖)̂	NOUN
cana-3295	27	44	denotes	denote	VERB
cana-3295	27	45	the	the	DET
cana-3295	27	46	degree	degree	NOUN
cana-3295	27	47	of	of	ADP
cana-3295	27	48	non	non	ADJ
cana-3295	27	49	-	-	NOUN
cana-3295	27	50	membership	membership	NOUN
cana-3295	27	51	.	.	PUNCT
cana-3295	28	1	communications	communication	NOUN
cana-3295	28	2	on	on	ADP
cana-3295	28	3	applied	apply	VERB
cana-3295	28	4	nonlinear	nonlinear	ADJ
cana-3295	28	5	analysis	analysis	NOUN
cana-3295	28	6	issn	issn	NOUN
cana-3295	28	7	:	:	PUNCT
cana-3295	28	8	1074	1074	NUM
cana-3295	28	9	-	-	PUNCT
cana-3295	28	10	133x	133x	NUM
cana-3295	28	11	vol	vol	NOUN
cana-3295	28	12	32	32	NUM
cana-3295	28	13	no	no	NOUN
cana-3295	28	14	.	.	PUNCT
cana-3295	29	1	6s	6s	NUM
cana-3295	29	2	(	(	PUNCT
cana-3295	29	3	2025	2025	NUM
cana-3295	29	4	)	)	PUNCT
cana-3295	29	5	291	291	NUM
cana-3295	29	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3295	29	7	definition	definition	NOUN
cana-3295	29	8	2.5[6	2.5[6	NUM
cana-3295	29	9	]	]	PUNCT
cana-3295	29	10	let	let	VERB
cana-3295	29	11	ι̂	ι̂	PRON
cana-3295	29	12	≠	≠	PROPN
cana-3295	29	13	𝜙	𝜙	NOUN
cana-3295	29	14	,	,	PUNCT
cana-3295	29	15	pnivs	pnivs	NOUN
cana-3295	29	16	is	be	AUX
cana-3295	29	17	of	of	ADP
cana-3295	29	18	the	the	DET
cana-3295	29	19	form	form	NOUN
cana-3295	29	20	,	,	PUNCT
cana-3295	29	21	�	�	PROPN
cana-3295	29	22	̂	̂	NOUN
cana-3295	29	23	�	�	NOUN
cana-3295	29	24	𝑃𝑁𝐼𝑉𝑆{〈𝑖̂	𝑃𝑁𝐼𝑉𝑆{〈𝑖̂	NOUN
cana-3295	29	25	,	,	PUNCT
cana-3295	29	26	𝒯	𝒯	PROPN
cana-3295	29	27	�	�	PROPN
cana-3295	29	28	̂	̂	NOUN
cana-3295	29	29	�	�	NOUN
cana-3295	29	30	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	29	31	)	)	PUNCT
cana-3295	29	32	,	,	PUNCT
cana-3295	29	33	ℐ	ℐ	PROPN
cana-3295	29	34	�	�	PROPN
cana-3295	29	35	̂	̂	SYM
cana-3295	29	36	�	�	NOUN
cana-3295	29	37	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	29	38	)	)	PUNCT
cana-3295	29	39	,	,	PUNCT
cana-3295	29	40	ℱ	ℱ	PROPN
cana-3295	29	41	�	�	PROPN
cana-3295	29	42	̂	̂	NUM
cana-3295	29	43	�	�	NOUN
cana-3295	29	44	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	NOUN
cana-3295	29	45	)	)	PUNCT
cana-3295	29	46	〉	〉	NOUN
cana-3295	29	47	:	:	PUNCT
cana-3295	29	48	𝑖̂𝑃𝑁𝐼𝑉𝑆ι̂	𝑖̂𝑃𝑁𝐼𝑉𝑆ι̂	ADJ
cana-3295	29	49	}	}	PUNCT
cana-3295	29	50	where𝒯	where𝒯	PROPN
cana-3295	29	51	�	�	PROPN
cana-3295	29	52	̂	̂	VERB
cana-3295	29	53	�	�	PROPN
cana-3295	29	54	(𝑖̂𝑃𝑁𝐼𝑉𝑆)[𝒯	(𝑖̂𝑃𝑁𝐼𝑉𝑆)[𝒯	SYM
cana-3295	29	55	�	�	PROPN
cana-3295	29	56	̂	̂	VERB
cana-3295	29	57	�	�	NOUN
cana-3295	29	58	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	PROPN
cana-3295	29	59	)	)	PUNCT
cana-3295	29	60	,	,	PUNCT
cana-3295	29	61	𝒯	𝒯	PROPN
cana-3295	29	62	�	�	PROPN
cana-3295	29	63	̂	̂	VERB
cana-3295	29	64	�	�	NOUN
cana-3295	29	65	+	+	PROPN
cana-3295	29	66	(	(	PUNCT
cana-3295	29	67	𝑖̂𝑃𝑁𝐼𝑉𝑆	𝑖̂𝑃𝑁𝐼𝑉𝑆	NOUN
cana-3295	29	68	)	)	PUNCT
cana-3295	29	69	]	]	PUNCT
cana-3295	29	70	,	,	PUNCT
cana-3295	29	71	ℐ	ℐ	PROPN
cana-3295	29	72	�	�	PROPN
cana-3295	29	73	̂	̂	SYM
cana-3295	29	74	�	�	NOUN
cana-3295	29	75	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	29	76	)	)	PUNCT
cana-3295	29	77	=	=	PUNCT
cana-3295	30	1	[	[	X
cana-3295	30	2	ℐ	ℐ	X
cana-3295	30	3	�	�	PROPN
cana-3295	30	4	̂	̂	VERB
cana-3295	30	5	�	�	NOUN
cana-3295	30	6	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	PROPN
cana-3295	30	7	)	)	PUNCT
cana-3295	30	8	,	,	PUNCT
cana-3295	30	9	ℐ	ℐ	PROPN
cana-3295	30	10	�	�	PROPN
cana-3295	30	11	̂	̂	SYM
cana-3295	30	12	�	�	NOUN
cana-3295	30	13	+	+	PROPN
cana-3295	30	14	(	(	PUNCT
cana-3295	30	15	𝑖̂𝑃𝑁𝐼𝑉𝑆	𝑖̂𝑃𝑁𝐼𝑉𝑆	NUM
cana-3295	30	16	)	)	PUNCT
cana-3295	30	17	]	]	PUNCT
cana-3295	30	18	and	and	CCONJ
cana-3295	30	19	ℱ	ℱ	PROPN
cana-3295	30	20	�	�	PROPN
cana-3295	30	21	̂	̂	VERB
cana-3295	30	22	�	�	NOUN
cana-3295	30	23	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	30	24	)	)	PUNCT
cana-3295	30	25	=	=	PUNCT
cana-3295	31	1	[	[	X
cana-3295	31	2	ℱ	ℱ	PROPN
cana-3295	31	3	�	�	PROPN
cana-3295	31	4	̂	̂	VERB
cana-3295	31	5	�	�	NOUN
cana-3295	31	6	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	−(𝑖̂𝑃𝑁𝐼𝑉𝑆	PROPN
cana-3295	31	7	)	)	PUNCT
cana-3295	31	8	,	,	PUNCT
cana-3295	31	9	ℱ	ℱ	PROPN
cana-3295	31	10	�	�	PROPN
cana-3295	31	11	̂	̂	NUM
cana-3295	31	12	�	�	NOUN
cana-3295	31	13	+	+	PROPN
cana-3295	31	14	(	(	PUNCT
cana-3295	31	15	𝑖	𝑖	NOUN
cana-3295	31	16	�	�	NOUN
cana-3295	31	17	̂	̂	NOUN
cana-3295	31	18	�	�	NOUN
cana-3295	31	19	𝑁𝐼𝑉𝑆	𝑁𝐼𝑉𝑆	PROPN
cana-3295	31	20	)	)	PUNCT
cana-3295	31	21	]	]	PUNCT
cana-3295	31	22	.	.	PUNCT
cana-3295	31	23	consider	consider	VERB
cana-3295	31	24	the	the	DET
cana-3295	31	25	mapping	mapping	NOUN
cana-3295	31	26	𝒯	𝒯	PROPN
cana-3295	31	27	�	�	PROPN
cana-3295	31	28	̂	̂	NOUN
cana-3295	31	29	�	�	NOUN
cana-3295	31	30	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	31	31	)	)	PUNCT
cana-3295	31	32	,	,	PUNCT
cana-3295	31	33	ℐ	ℐ	PROPN
cana-3295	31	34	�	�	PROPN
cana-3295	31	35	̂	̂	SYM
cana-3295	31	36	�	�	NOUN
cana-3295	31	37	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	31	38	)	)	PUNCT
cana-3295	31	39	,	,	PUNCT
cana-3295	31	40	ℱ	ℱ	PROPN
cana-3295	31	41	�	�	PROPN
cana-3295	31	42	̂	̂	NUM
cana-3295	31	43	�	�	NOUN
cana-3295	31	44	(𝑖̂𝑃𝑁𝐼𝑉𝑆	(𝑖̂𝑃𝑁𝐼𝑉𝑆	PUNCT
cana-3295	31	45	):	):	PUNCT
cana-3295	31	46	ι̂	ι̂	PUNCT
cana-3295	31	47	→	→	PUNCT
cana-3295	32	1	[	[	X
cana-3295	32	2	0,1	0,1	NUM
cana-3295	32	3	]	]	PUNCT
cana-3295	32	4	and	and	CCONJ
cana-3295	32	5	0	0	NUM
cana-3295	32	6	≤	≤	NOUN
cana-3295	32	7	[	[	PUNCT
cana-3295	32	8	𝒯	𝒯	PROPN
cana-3295	32	9	�	�	PROPN
cana-3295	32	10	̂	̂	PROPN
cana-3295	32	11	�	�	PROPN
cana-3295	32	12	−(	−(	PROPN
cana-3295	32	13	�	�	PROPN
cana-3295	32	14	̂	̂	VERB
cana-3295	32	15	�	�	PROPN
cana-3295	32	16	𝑃𝑁𝐼𝑉𝑆)+𝒯	𝑃𝑁𝐼𝑉𝑆)+𝒯	PROPN
cana-3295	32	17	�	�	PROPN
cana-3295	32	18	̂	̂	PROPN
cana-3295	32	19	�	�	PROPN
cana-3295	32	20	+	+	PROPN
cana-3295	32	21	(	(	PUNCT
cana-3295	32	22	�	�	NOUN
cana-3295	32	23	̂	̂	NOUN
cana-3295	32	24	�	�	NOUN
cana-3295	32	25	𝑃𝑁𝐼𝑉𝑆	𝑃𝑁𝐼𝑉𝑆	NOUN
cana-3295	32	26	)	)	PUNCT
cana-3295	32	27	2	2	NUM
cana-3295	32	28	]	]	SYM
cana-3295	32	29	2	2	NUM
cana-3295	33	1	+	+	CCONJ
cana-3295	33	2	[	[	PUNCT
cana-3295	33	3	ℐ	ℐ	PROPN
cana-3295	33	4	�	�	PROPN
cana-3295	33	5	̂	̂	SYM
cana-3295	33	6	�	�	PROPN
cana-3295	33	7	−(	−(	PROPN
cana-3295	33	8	�	�	PROPN
cana-3295	33	9	̂	̂	VERB
cana-3295	33	10	�	�	PROPN
cana-3295	33	11	𝑃𝑁𝐼𝑉𝑆)+ℐ	𝑃𝑁𝐼𝑉𝑆)+ℐ	PART
cana-3295	33	12	�	�	PROPN
cana-3295	33	13	̂	̂	PROPN
cana-3295	33	14	�	�	PROPN
cana-3295	33	15	+	+	PROPN
cana-3295	33	16	(	(	PUNCT
cana-3295	33	17	�	�	NOUN
cana-3295	33	18	̂	̂	NOUN
cana-3295	33	19	�	�	NOUN
cana-3295	33	20	𝑃𝑁𝐼𝑉𝑆	𝑃𝑁𝐼𝑉𝑆	NOUN
cana-3295	33	21	)	)	PUNCT
cana-3295	33	22	2	2	NUM
cana-3295	33	23	]	]	SYM
cana-3295	33	24	2	2	NUM
cana-3295	34	1	+	+	CCONJ
cana-3295	34	2	[	[	PUNCT
cana-3295	34	3	ℱ	ℱ	PROPN
cana-3295	34	4	�	�	PROPN
cana-3295	34	5	̂	̂	NUM
cana-3295	34	6	�	�	PROPN
cana-3295	34	7	−(	−(	PROPN
cana-3295	34	8	�	�	PROPN
cana-3295	34	9	̂	̂	SYM
cana-3295	34	10	�	�	PROPN
cana-3295	34	11	𝑃𝑁𝐼𝑉𝑆)+ℱ	𝑃𝑁𝐼𝑉𝑆)+ℱ	PROPN
cana-3295	34	12	�	�	PROPN
cana-3295	34	13	̂	̂	PROPN
cana-3295	34	14	�	�	PROPN
cana-3295	34	15	+	+	PROPN
cana-3295	34	16	(	(	PUNCT
cana-3295	34	17	�	�	NOUN
cana-3295	34	18	̂	̂	NOUN
cana-3295	34	19	�	�	NOUN
cana-3295	34	20	𝑃𝑁𝐼𝑉𝑆	𝑃𝑁𝐼𝑉𝑆	NOUN
cana-3295	34	21	)	)	PUNCT
cana-3295	34	22	2	2	NUM
cana-3295	34	23	]	]	SYM
cana-3295	34	24	2	2	NUM
cana-3295	34	25	≤	≤	NUM
cana-3295	34	26	2	2	NUM
cana-3295	34	27	3	3	NUM
cana-3295	34	28	.	.	PUNCT
cana-3295	35	1	pythagorean	pythagorean	PROPN
cana-3295	35	2	neutrosophic	neutrosophic	PROPN
cana-3295	35	3	cubic	cubic	ADJ
cana-3295	35	4	set	set	NOUN
cana-3295	35	5	(	(	PUNCT
cana-3295	35	6	pncs	pncs	NOUN
cana-3295	35	7	)	)	PUNCT
cana-3295	35	8	definition	definition	NOUN
cana-3295	35	9	3.1	3.1	NUM
cana-3295	35	10	let	let	VERB
cana-3295	35	11	�	�	SYM
cana-3295	35	12	̂	̂	VERB
cana-3295	35	13	�	�	PROPN
cana-3295	35	14	≠	≠	PROPN
cana-3295	35	15	𝜙	𝜙	NOUN
cana-3295	35	16	,	,	PUNCT
cana-3295	35	17	a	a	DET
cana-3295	35	18	pythagorean	pythagorean	PROPN
cana-3295	35	19	neutrosophic	neutrosophic	ADJ
cana-3295	35	20	cubic	cubic	ADJ
cana-3295	35	21	set	set	NOUN
cana-3295	35	22	(	(	PUNCT
cana-3295	35	23	pncs	pncs	PROPN
cana-3295	35	24	)	)	PUNCT
cana-3295	35	25	,	,	PUNCT
cana-3295	35	26	having	have	VERB
cana-3295	35	27	a	a	DET
cana-3295	35	28	form	form	NOUN
cana-3295	35	29	,	,	PUNCT
cana-3295	35	30	�	�	PROPN
cana-3295	35	31	̂	̂	NOUN
cana-3295	35	32	�	�	NOUN
cana-3295	35	33	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	35	34	=	=	SYM
cana-3295	35	35	{	{	PUNCT
cana-3295	35	36	〈	〈	PROPN
cana-3295	35	37	𝜄,̂	𝜄,̂	PROPN
cana-3295	35	38	�	�	PROPN
cana-3295	35	39	̂	̂	SYM
cana-3295	35	40	�	�	NOUN
cana-3295	35	41	𝑃𝑁𝐼𝑉𝑆(𝜄	𝑃𝑁𝐼𝑉𝑆(𝜄	PART
cana-3295	35	42	̂̂	̂̂	NOUN
cana-3295	35	43	)	)	PUNCT
cana-3295	35	44	,	,	PUNCT
cana-3295	35	45	𝜛𝑃𝑁𝑆(𝜄)̂	𝜛𝑃𝑁𝑆(𝜄)̂	X
cana-3295	35	46	〉	〉	NOUN
cana-3295	35	47	:	:	PUNCT
cana-3295	35	48	𝜄	𝜄	PROPN
cana-3295	35	49	̂	̂	PUNCT
cana-3295	35	50	∈	∈	PROPN
cana-3295	35	51	ι̂	ι̂	NOUN
cana-3295	35	52	}	}	PUNCT
cana-3295	35	53	where	where	SCONJ
cana-3295	35	54	�	�	PROPN
cana-3295	35	55	̂	̂	NOUN
cana-3295	35	56	�	�	NOUN
cana-3295	35	57	𝑃𝑁𝐼𝑉𝑆(𝜄)̂	𝑃𝑁𝐼𝑉𝑆(𝜄)̂	NOUN
cana-3295	35	58	represent	represent	VERB
cana-3295	35	59	the	the	DET
cana-3295	35	60	pythagorean	pythagorean	PROPN
cana-3295	35	61	neutrosophic	neutrosophic	ADJ
cana-3295	35	62	interval	interval	NOUN
cana-3295	35	63	valued	value	VERB
cana-3295	35	64	set	set	VERB
cana-3295	35	65	in	in	ADP
cana-3295	35	66	ι̂.	ι̂.	NOUN
cana-3295	35	67	𝜛𝑃𝑁𝑆(𝜄)̂	𝜛𝑃𝑁𝑆(𝜄)̂	PRON
cana-3295	35	68	represent	represent	VERB
cana-3295	35	69	the	the	DET
cana-3295	35	70	pythagorean	pythagorean	PROPN
cana-3295	35	71	neutrosophic	neutrosophic	PROPN
cana-3295	35	72	set	set	NOUN
cana-3295	35	73	.	.	PUNCT
cana-3295	36	1	pncs	pnc	NOUN
cana-3295	36	2	can	can	AUX
cana-3295	36	3	be	be	AUX
cana-3295	36	4	denoted	denote	VERB
cana-3295	36	5	as	as	ADP
cana-3295	36	6	a	a	DET
cana-3295	36	7	pair	pair	NOUN
cana-3295	36	8	�	�	NOUN
cana-3295	36	9	̂	̂	NOUN
cana-3295	36	10	�	�	NOUN
cana-3295	36	11	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	36	12	=	=	SYM
cana-3295	36	13	(	(	PUNCT
cana-3295	36	14	�	�	PROPN
cana-3295	36	15	̂	̂	SYM
cana-3295	36	16	�	�	PROPN
cana-3295	36	17	,	,	PUNCT
cana-3295	36	18	𝜛	𝜛	NOUN
cana-3295	36	19	)	)	PUNCT
cana-3295	36	20	.	.	PUNCT
cana-3295	37	1	example	example	NOUN
cana-3295	37	2	3.2	3.2	NUM
cana-3295	37	3	if	if	SCONJ
cana-3295	37	4	�	�	NOUN
cana-3295	37	5	̂	̂	SYM
cana-3295	37	6	�	�	NOUN
cana-3295	37	7	=	=	SYM
cana-3295	37	8	{	{	PUNCT
cana-3295	37	9	ℎ	ℎ	PROPN
cana-3295	37	10	,	,	PUNCT
cana-3295	37	11	𝑟	𝑟	NOUN
cana-3295	37	12	,	,	PUNCT
cana-3295	37	13	𝑣	𝑣	ADP
cana-3295	37	14	}	}	PUNCT
cana-3295	37	15	then	then	ADV
cana-3295	37	16	�	�	PROPN
cana-3295	37	17	̂	̂	SYM
cana-3295	37	18	�	�	NOUN
cana-3295	37	19	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	37	20	=	=	SYM
cana-3295	37	21	(	(	PUNCT
cana-3295	37	22	�	�	PROPN
cana-3295	37	23	̂	̂	NUM
cana-3295	37	24	�	�	PROPN
cana-3295	37	25	,	,	PUNCT
cana-3295	37	26	𝜛)with	𝜛)with	ADJ
cana-3295	38	1	the	the	DET
cana-3295	38	2	tabular	tabular	PROPN
cana-3295	38	3	representation	representation	NOUN
cana-3295	38	4	given	give	VERB
cana-3295	38	5	below	below	ADP
cana-3295	38	6	,	,	PUNCT
cana-3295	38	7	�	�	PROPN
cana-3295	38	8	̂	̂	SYM
cana-3295	38	9	�	�	PROPN
cana-3295	38	10	�	�	PROPN
cana-3295	38	11	̂	̂	SYM
cana-3295	38	12	�	�	NOUN
cana-3295	38	13	𝑃𝑁𝐼𝑉𝑆(𝜄	𝑃𝑁𝐼𝑉𝑆(𝜄	PART
cana-3295	38	14	̂̂	̂̂	NOUN
cana-3295	38	15	)	)	PUNCT
cana-3295	38	16	𝜛𝑃𝑁𝑆(𝜄)̂	𝜛𝑃𝑁𝑆(𝜄)̂	VERB
cana-3295	38	17	h	h	NOUN
cana-3295	38	18	(	(	PUNCT
cana-3295	38	19	[	[	X
cana-3295	38	20	0.2,0.3	0.2,0.3	X
cana-3295	38	21	]	]	PUNCT
cana-3295	38	22	,	,	PUNCT
cana-3295	38	23	[	[	X
cana-3295	38	24	0.3,0.5	0.3,0.5	X
cana-3295	38	25	]	]	X
cana-3295	38	26	,	,	PUNCT
cana-3295	38	27	[	[	X
cana-3295	38	28	0.4,0.6	0.4,0.6	X
cana-3295	38	29	]	]	X
cana-3295	38	30	)	)	PUNCT
cana-3295	38	31	(	(	PUNCT
cana-3295	38	32	0.1,0.2,0.3	0.1,0.2,0.3	X
cana-3295	38	33	)	)	PUNCT
cana-3295	38	34	r	r	NOUN
cana-3295	38	35	(	(	PUNCT
cana-3295	38	36	[	[	X
cana-3295	38	37	0.1,0.4	0.1,0.4	X
cana-3295	38	38	]	]	X
cana-3295	38	39	,	,	PUNCT
cana-3295	38	40	[	[	X
cana-3295	38	41	0.3,0.7	0.3,0.7	PROPN
cana-3295	38	42	]	]	PUNCT
cana-3295	38	43	,	,	PUNCT
cana-3295	38	44	[	[	X
cana-3295	38	45	0.4,0.8	0.4,0.8	PROPN
cana-3295	38	46	]	]	X
cana-3295	38	47	)	)	PUNCT
cana-3295	38	48	(	(	PUNCT
cana-3295	38	49	0.3,0.2,0.7	0.3,0.2,0.7	NOUN
cana-3295	38	50	)	)	PUNCT
cana-3295	38	51	v	v	NOUN
cana-3295	38	52	(	(	PUNCT
cana-3295	38	53	[	[	X
cana-3295	38	54	0.2,0.3	0.2,0.3	X
cana-3295	38	55	]	]	PUNCT
cana-3295	38	56	,	,	PUNCT
cana-3295	38	57	[	[	X
cana-3295	38	58	0.4,0.8	0.4,0.8	PROPN
cana-3295	38	59	]	]	PUNCT
cana-3295	38	60	,	,	PUNCT
cana-3295	38	61	[	[	X
cana-3295	38	62	0.3,0.5	0.3,0.5	NUM
cana-3295	38	63	]	]	X
cana-3295	38	64	)	)	PUNCT
cana-3295	38	65	(	(	PUNCT
cana-3295	38	66	0.5,0.2,0.3	0.5,0.2,0.3	NUM
cana-3295	38	67	)	)	PUNCT
cana-3295	38	68	table	table	NOUN
cana-3295	38	69	1	1	NUM
cana-3295	38	70	–	–	PUNCT
cana-3295	38	71	example	example	NOUN
cana-3295	38	72	of	of	ADP
cana-3295	38	73	pncs	pnc	NOUN
cana-3295	38	74	therefore	therefore	ADV
cana-3295	38	75	,	,	PUNCT
cana-3295	38	76	�	�	PROPN
cana-3295	38	77	̂	̂	NOUN
cana-3295	38	78	�	�	NOUN
cana-3295	38	79	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	38	80	=	=	SYM
cana-3295	38	81	(	(	PUNCT
cana-3295	38	82	�	�	PROPN
cana-3295	38	83	̂	̂	SYM
cana-3295	38	84	�	�	PROPN
cana-3295	38	85	,	,	PUNCT
cana-3295	38	86	𝜛	𝜛	NOUN
cana-3295	38	87	)	)	PUNCT
cana-3295	38	88	�	�	PROPN
cana-3295	38	89	̂	̂	SYM
cana-3295	38	90	�	�	NOUN
cana-3295	38	91	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	38	92	=	=	SYM
cana-3295	38	93	{	{	PUNCT
cana-3295	38	94	〈	〈	NOUN
cana-3295	38	95	ℎ	ℎ	PROPN
cana-3295	38	96	,	,	PUNCT
cana-3295	38	97	(	(	PUNCT
cana-3295	38	98	[	[	X
cana-3295	38	99	0.2,0.3	0.2,0.3	X
cana-3295	38	100	]	]	X
cana-3295	38	101	,	,	PUNCT
cana-3295	38	102	[	[	X
cana-3295	38	103	0.3,0.5	0.3,0.5	X
cana-3295	38	104	]	]	X
cana-3295	38	105	,	,	PUNCT
cana-3295	38	106	[	[	X
cana-3295	38	107	0.4,0.6	0.4,0.6	X
cana-3295	38	108	]	]	PUNCT
cana-3295	38	109	)	)	PUNCT
cana-3295	38	110	,	,	PUNCT
cana-3295	38	111	(	(	PUNCT
cana-3295	38	112	0.1,0.2,0.3	0.1,0.2,0.3	NOUN
cana-3295	38	113	)	)	PUNCT
cana-3295	38	114	〉	〉	NOUN
cana-3295	38	115	,	,	PUNCT
cana-3295	38	116	〈	〈	NOUN
cana-3295	38	117	𝑟	𝑟	NOUN
cana-3295	38	118	,	,	PUNCT
cana-3295	38	119	(	(	PUNCT
cana-3295	38	120	[	[	X
cana-3295	38	121	0.1,0.4	0.1,0.4	X
cana-3295	38	122	]	]	X
cana-3295	38	123	,	,	PUNCT
cana-3295	38	124	[	[	X
cana-3295	38	125	0.3,0.7	0.3,0.7	PROPN
cana-3295	38	126	]	]	PUNCT
cana-3295	38	127	,	,	PUNCT
cana-3295	38	128	[	[	X
cana-3295	38	129	0.4,0.8	0.4,0.8	PROPN
cana-3295	38	130	]	]	X
cana-3295	38	131	)	)	PUNCT
cana-3295	38	132	,	,	PUNCT
cana-3295	38	133	(	(	PUNCT
cana-3295	38	134	0.3,0.2,0.7	0.3,0.2,0.7	NOUN
cana-3295	38	135	)	)	PUNCT
cana-3295	38	136	〉	〉	NOUN
cana-3295	38	137	,	,	PUNCT
cana-3295	38	138	〈	〈	NOUN
cana-3295	38	139	𝑣	𝑣	NOUN
cana-3295	38	140	,	,	PUNCT
cana-3295	38	141	(	(	PUNCT
cana-3295	38	142	[	[	X
cana-3295	38	143	0.2,0.3	0.2,0.3	X
cana-3295	38	144	]	]	PUNCT
cana-3295	38	145	,	,	PUNCT
cana-3295	38	146	[	[	X
cana-3295	38	147	0.4,0.8	0.4,0.8	PROPN
cana-3295	38	148	]	]	PUNCT
cana-3295	38	149	,	,	PUNCT
cana-3295	38	150	[	[	X
cana-3295	38	151	0.3,0.5	0.3,0.5	NUM
cana-3295	38	152	]	]	X
cana-3295	38	153	)	)	PUNCT
cana-3295	38	154	,	,	PUNCT
cana-3295	38	155	(	(	PUNCT
cana-3295	38	156	0.5,0.2,0.3	0.5,0.2,0.3	NOUN
cana-3295	38	157	)	)	PUNCT
cana-3295	38	158	〉	〉	NOUN
cana-3295	38	159	}	}	PUNCT
cana-3295	38	160	the	the	DET
cana-3295	38	161	pair	pair	NOUN
cana-3295	38	162	�	�	NOUN
cana-3295	38	163	̂	̂	NOUN
cana-3295	38	164	�	�	NOUN
cana-3295	38	165	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	38	166	=	=	SYM
cana-3295	38	167	(	(	PUNCT
cana-3295	38	168	�	�	PROPN
cana-3295	38	169	̂	̂	SYM
cana-3295	38	170	�	�	PROPN
cana-3295	38	171	,	,	PUNCT
cana-3295	38	172	𝜛	𝜛	X
cana-3295	38	173	)	)	PUNCT
cana-3295	38	174	is	be	AUX
cana-3295	38	175	called	call	VERB
cana-3295	38	176	pncs	pnc	NOUN
cana-3295	38	177	.	.	PUNCT
cana-3295	39	1	definition	definition	NOUN
cana-3295	39	2	3.3	3.3	NUM
cana-3295	39	3	let	let	VERB
cana-3295	39	4	�	�	SYM
cana-3295	39	5	̂	̂	VERB
cana-3295	39	6	�	�	PROPN
cana-3295	39	7	≠	≠	PROPN
cana-3295	39	8	𝜙.	𝜙.	NOUN
cana-3295	39	9	a	a	DET
cana-3295	39	10	pncs	pncs	PROPN
cana-3295	39	11	�	�	SYM
cana-3295	39	12	̂	̂	NOUN
cana-3295	39	13	�	�	NOUN
cana-3295	39	14	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	39	15	=	=	SYM
cana-3295	39	16	(	(	PUNCT
cana-3295	39	17	�	�	PROPN
cana-3295	39	18	̂	̂	SYM
cana-3295	39	19	�	�	PROPN
cana-3295	39	20	,	,	PUNCT
cana-3295	39	21	𝜛	𝜛	PROPN
cana-3295	39	22	)	)	PUNCT
cana-3295	39	23	in	in	ADP
cana-3295	39	24	�	�	PROPN
cana-3295	39	25	̂	̂	VERB
cana-3295	39	26	�	�	NOUN
cana-3295	39	27	is	be	AUX
cana-3295	39	28	said	say	VERB
cana-3295	39	29	to	to	PART
cana-3295	39	30	be	be	AUX
cana-3295	39	31	�	�	NOUN
cana-3295	39	32	̂	̂	NOUN
cana-3295	39	33	�	�	NOUN
cana-3295	39	34	-internal	-internal	ADJ
cana-3295	39	35	,	,	PUNCT
cana-3295	39	36	(	(	PUNCT
cana-3295	39	37	𝕋𝒟	𝕋𝒟	VERB
cana-3295	39	38	−(	−(	VERB
cana-3295	39	39	�	�	PROPN
cana-3295	39	40	̂	̂	NOUN
cana-3295	39	41	�	�	NOUN
cana-3295	39	42	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	39	43	)	)	PUNCT
cana-3295	39	44	≤	≤	NUM
cana-3295	39	45	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	39	46	�	�	PROPN
cana-3295	39	47	̂	̂	NOUN
cana-3295	39	48	�	�	NOUN
cana-3295	39	49	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	39	50	)	)	PUNCT
cana-3295	39	51	≤	≤	NUM
cana-3295	39	52	𝕋𝒟	𝕋𝒟	VERB
cana-3295	39	53	+	+	PROPN
cana-3295	39	54	(	(	PUNCT
cana-3295	39	55	�	�	NOUN
cana-3295	39	56	̂	̂	SYM
cana-3295	39	57	�	�	NOUN
cana-3295	39	58	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	39	59	)	)	PUNCT
cana-3295	39	60	)	)	PUNCT
cana-3295	40	1	∀	∀	PUNCT
cana-3295	40	2	�	�	NOUN
cana-3295	40	3	̂	̂	SYM
cana-3295	40	4	�	�	NOUN
cana-3295	40	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	40	6	∈	∈	PROPN
cana-3295	40	7	�	�	PROPN
cana-3295	40	8	̂	̂	NOUN
cana-3295	40	9	�	�	NOUN
cana-3295	40	10	.	.	PUNCT
cana-3295	41	1	𝐼-internal	𝐼-internal	ADJ
cana-3295	41	2	if	if	SCONJ
cana-3295	41	3	(	(	PUNCT
cana-3295	41	4	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	41	5	−(	−(	NOUN
cana-3295	41	6	�	�	PROPN
cana-3295	41	7	̂	̂	NOUN
cana-3295	41	8	�	�	NOUN
cana-3295	41	9	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	41	10	)	)	PUNCT
cana-3295	41	11	≤	≤	NUM
cana-3295	42	1	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	42	2	�	�	PROPN
cana-3295	42	3	̂	̂	NOUN
cana-3295	42	4	�	�	NOUN
cana-3295	42	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	42	6	)	)	PUNCT
cana-3295	42	7	≤	≤	PUNCT
cana-3295	42	8	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	42	9	+	+	PROPN
cana-3295	42	10	(	(	PUNCT
cana-3295	42	11	�	�	NOUN
cana-3295	42	12	̂	̂	NOUN
cana-3295	42	13	�	�	NOUN
cana-3295	42	14	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	42	15	)	)	PUNCT
cana-3295	42	16	)	)	PUNCT
cana-3295	43	1	∀	∀	PUNCT
cana-3295	43	2	�	�	NOUN
cana-3295	43	3	̂	̂	SYM
cana-3295	43	4	�	�	NOUN
cana-3295	43	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	43	6	∈	∈	PROPN
cana-3295	43	7	�	�	PROPN
cana-3295	43	8	̂	̂	PROPN
cana-3295	43	9	�	�	PROPN
cana-3295	43	10	.	.	PUNCT
cana-3295	43	11	�	�	PROPN
cana-3295	43	12	̂	̂	NOUN
cana-3295	43	13	�	�	NOUN
cana-3295	43	14	-internal	-internal	ADJ
cana-3295	43	15	if	if	SCONJ
cana-3295	43	16	(	(	PUNCT
cana-3295	43	17	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	43	18	−(	−(	PROPN
cana-3295	43	19	�	�	PROPN
cana-3295	43	20	̂	̂	NOUN
cana-3295	43	21	�	�	NOUN
cana-3295	43	22	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	43	23	)	)	PUNCT
cana-3295	43	24	≤	≤	PROPN
cana-3295	43	25	𝜛𝔽(	𝜛𝔽(	ADP
cana-3295	43	26	�	�	PROPN
cana-3295	43	27	̂	̂	NOUN
cana-3295	43	28	�	�	NOUN
cana-3295	43	29	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	43	30	)	)	PUNCT
cana-3295	44	1	≤	≤	NUM
cana-3295	45	1	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	45	2	+	+	PROPN
cana-3295	45	3	(	(	PUNCT
cana-3295	45	4	�	�	NOUN
cana-3295	45	5	̂	̂	SYM
cana-3295	45	6	�	�	NOUN
cana-3295	45	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	45	8	)	)	PUNCT
cana-3295	45	9	)	)	PUNCT
cana-3295	46	1	∀	∀	PUNCT
cana-3295	46	2	�	�	NOUN
cana-3295	46	3	̂	̂	SYM
cana-3295	46	4	�	�	NOUN
cana-3295	46	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	46	6	∈	∈	PROPN
cana-3295	46	7	�	�	PROPN
cana-3295	46	8	̂	̂	NOUN
cana-3295	46	9	�	�	NOUN
cana-3295	46	10	.	.	PUNCT
cana-3295	47	1	if	if	SCONJ
cana-3295	47	2	a	a	DET
cana-3295	47	3	pncs	pncs	PROPN
cana-3295	47	4	�	�	SYM
cana-3295	47	5	̂	̂	NOUN
cana-3295	47	6	�	�	NOUN
cana-3295	47	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	47	8	=	=	SYM
cana-3295	47	9	(	(	PUNCT
cana-3295	47	10	�	�	PROPN
cana-3295	47	11	̂	̂	SYM
cana-3295	47	12	�	�	PROPN
cana-3295	47	13	,	,	PUNCT
cana-3295	47	14	𝜛)in	𝜛)in	PROPN
cana-3295	47	15	�	�	PROPN
cana-3295	47	16	̂	̂	SYM
cana-3295	47	17	�	�	NOUN
cana-3295	47	18	adheres	adhere	VERB
cana-3295	47	19	to	to	ADP
cana-3295	47	20	the	the	DET
cana-3295	47	21	aforementioned	aforementioned	ADJ
cana-3295	47	22	shortcomings	shortcoming	NOUN
cana-3295	47	23	then	then	ADV
cana-3295	47	24	,	,	PUNCT
cana-3295	47	25	�	�	PROPN
cana-3295	47	26	̂	̂	NOUN
cana-3295	47	27	�	�	NOUN
cana-3295	47	28	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	47	29	=	=	SYM
cana-3295	47	30	(	(	PUNCT
cana-3295	47	31	�	�	PROPN
cana-3295	47	32	̂	̂	SYM
cana-3295	47	33	�	�	PROPN
cana-3295	47	34	,	,	PUNCT
cana-3295	47	35	𝜛	𝜛	X
cana-3295	47	36	)	)	PUNCT
cana-3295	47	37	is	be	AUX
cana-3295	47	38	an	an	DET
cana-3295	47	39	ipncs	ipncs	NOUN
cana-3295	47	40	.	.	PUNCT
cana-3295	48	1	example	example	NOUN
cana-3295	48	2	3.4	3.4	NUM
cana-3295	48	3	let	let	VERB
cana-3295	48	4	ι̂	ι̂	NOUN
cana-3295	48	5	=	=	SYM
cana-3295	48	6	{	{	PUNCT
cana-3295	48	7	ℎ	ℎ	PROPN
cana-3295	48	8	,	,	PUNCT
cana-3295	48	9	𝑟	𝑟	NOUN
cana-3295	48	10	,	,	PUNCT
cana-3295	48	11	𝑣	𝑣	NOUN
cana-3295	48	12	}	}	PUNCT
cana-3295	48	13	.	.	PUNCT
cana-3295	49	1	then	then	ADV
cana-3295	49	2	the	the	DET
cana-3295	49	3	pair	pair	NOUN
cana-3295	49	4	�	�	NOUN
cana-3295	49	5	̂	̂	NOUN
cana-3295	49	6	�	�	NOUN
cana-3295	49	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	49	8	=	=	SYM
cana-3295	49	9	(	(	PUNCT
cana-3295	49	10	�	�	PROPN
cana-3295	49	11	̂	̂	SYM
cana-3295	49	12	�	�	PROPN
cana-3295	49	13	,	,	PUNCT
cana-3295	49	14	𝜛	𝜛	PROPN
cana-3295	49	15	)	)	PUNCT
cana-3295	49	16	with	with	ADP
cana-3295	49	17	the	the	DET
cana-3295	49	18	tabular	tabular	PROPN
cana-3295	49	19	representation	representation	NOUN
cana-3295	49	20	given	give	VERB
cana-3295	49	21	below	below	ADP
cana-3295	49	22	,	,	PUNCT
cana-3295	49	23	�	�	PROPN
cana-3295	49	24	̂	̂	SYM
cana-3295	49	25	�	�	PROPN
cana-3295	49	26	�	�	PROPN
cana-3295	49	27	̂	̂	PROPN
cana-3295	49	28	�	�	PROPN
cana-3295	49	29	𝑃𝑁𝐼𝑉𝑆(	𝑃𝑁𝐼𝑉𝑆(	PROPN
cana-3295	49	30	�	�	PROPN
cana-3295	49	31	̂	̂	NOUN
cana-3295	49	32	�	�	NOUN
cana-3295	49	33	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	49	34	)	)	PUNCT
cana-3295	49	35	𝜛𝑃𝑁𝑆(	𝜛𝑃𝑁𝑆(	NOUN
cana-3295	49	36	�	�	PROPN
cana-3295	49	37	̂	̂	SYM
cana-3295	49	38	�	�	NOUN
cana-3295	49	39	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	49	40	)	)	PUNCT
cana-3295	49	41	h	h	NOUN
cana-3295	50	1	(	(	PUNCT
cana-3295	50	2	[	[	X
cana-3295	50	3	0.1,0.3	0.1,0.3	X
cana-3295	50	4	]	]	PUNCT
cana-3295	50	5	,	,	PUNCT
cana-3295	51	1	[	[	X
cana-3295	51	2	0.4,0.6	0.4,0.6	X
cana-3295	51	3	]	]	X
cana-3295	51	4	,	,	PUNCT
cana-3295	52	1	[	[	X
cana-3295	52	2	0.5,0.8	0.5,0.8	PROPN
cana-3295	52	3	]	]	X
cana-3295	52	4	)	)	PUNCT
cana-3295	52	5	(	(	PUNCT
cana-3295	52	6	0.25,0.48,0.62	0.25,0.48,0.62	NOUN
cana-3295	52	7	)	)	PUNCT
cana-3295	52	8	r	r	NOUN
cana-3295	52	9	(	(	PUNCT
cana-3295	53	1	[	[	X
cana-3295	53	2	0.1,0.4	0.1,0.4	X
cana-3295	53	3	]	]	X
cana-3295	53	4	,	,	PUNCT
cana-3295	54	1	[	[	X
cana-3295	54	2	0.3,0.7	0.3,0.7	PROPN
cana-3295	54	3	]	]	PUNCT
cana-3295	54	4	,	,	PUNCT
cana-3295	55	1	[	[	X
cana-3295	55	2	0.4,0.8	0.4,0.8	PROPN
cana-3295	55	3	]	]	X
cana-3295	55	4	)	)	PUNCT
cana-3295	55	5	(	(	PUNCT
cana-3295	55	6	0.30,0.58,0.71	0.30,0.58,0.71	NOUN
cana-3295	55	7	)	)	PUNCT
cana-3295	55	8	v	v	NOUN
cana-3295	55	9	(	(	PUNCT
cana-3295	55	10	[	[	X
cana-3295	55	11	0.2,0.3	0.2,0.3	X
cana-3295	55	12	]	]	PUNCT
cana-3295	55	13	,	,	PUNCT
cana-3295	56	1	[	[	X
cana-3295	56	2	0.4,0.8	0.4,0.8	PROPN
cana-3295	56	3	]	]	PUNCT
cana-3295	56	4	,	,	PUNCT
cana-3295	56	5	[	[	X
cana-3295	56	6	0.3,0.5	0.3,0.5	NUM
cana-3295	56	7	]	]	X
cana-3295	56	8	)	)	PUNCT
cana-3295	56	9	(	(	PUNCT
cana-3295	56	10	0.27,0.65,0.47	0.27,0.65,0.47	X
cana-3295	56	11	)	)	PUNCT
cana-3295	56	12	table	table	NOUN
cana-3295	56	13	2	2	NUM
cana-3295	56	14	–	–	PUNCT
cana-3295	56	15	example	example	NOUN
cana-3295	56	16	of	of	ADP
cana-3295	56	17	ipncs	ipncs	NOUN
cana-3295	56	18	communications	communication	NOUN
cana-3295	56	19	on	on	ADP
cana-3295	56	20	applied	apply	VERB
cana-3295	56	21	nonlinear	nonlinear	ADJ
cana-3295	56	22	analysis	analysis	NOUN
cana-3295	56	23	issn	issn	NOUN
cana-3295	56	24	:	:	PUNCT
cana-3295	56	25	1074	1074	NUM
cana-3295	56	26	-	-	PUNCT
cana-3295	56	27	133x	133x	NUM
cana-3295	56	28	vol	vol	NOUN
cana-3295	56	29	32	32	NUM
cana-3295	56	30	no	no	NOUN
cana-3295	56	31	.	.	PUNCT
cana-3295	57	1	6s	6s	NUM
cana-3295	57	2	(	(	PUNCT
cana-3295	57	3	2025	2025	NUM
cana-3295	57	4	)	)	PUNCT
cana-3295	57	5	292	292	NUM
cana-3295	57	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3295	57	7	therefore	therefore	ADV
cana-3295	57	8	,	,	PUNCT
cana-3295	57	9	�	�	PROPN
cana-3295	57	10	̂	̂	NOUN
cana-3295	57	11	�	�	NOUN
cana-3295	57	12	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	57	13	=	=	SYM
cana-3295	57	14	(	(	PUNCT
cana-3295	57	15	�	�	PROPN
cana-3295	57	16	̂	̂	SYM
cana-3295	57	17	�	�	PROPN
cana-3295	57	18	,	,	PUNCT
cana-3295	57	19	𝜛	𝜛	NOUN
cana-3295	57	20	)	)	PUNCT
cana-3295	57	21	,	,	PUNCT
cana-3295	57	22	�	�	PROPN
cana-3295	57	23	̂	̂	SYM
cana-3295	57	24	�	�	NOUN
cana-3295	57	25	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	57	26	=	=	SYM
cana-3295	57	27	{	{	PUNCT
cana-3295	57	28	〈	〈	NOUN
cana-3295	57	29	ℎ	ℎ	PROPN
cana-3295	57	30	,	,	PUNCT
cana-3295	57	31	(	(	PUNCT
cana-3295	57	32	[	[	X
cana-3295	57	33	0.1,0.3	0.1,0.3	X
cana-3295	57	34	]	]	X
cana-3295	57	35	,	,	PUNCT
cana-3295	58	1	[	[	X
cana-3295	58	2	0.4,0.6	0.4,0.6	X
cana-3295	58	3	]	]	X
cana-3295	58	4	,	,	PUNCT
cana-3295	59	1	[	[	X
cana-3295	59	2	0.5,0.8	0.5,0.8	PROPN
cana-3295	59	3	]	]	X
cana-3295	59	4	)	)	PUNCT
cana-3295	59	5	,	,	PUNCT
cana-3295	59	6	(	(	PUNCT
cana-3295	59	7	0.25,0.48,0.62	0.25,0.48,0.62	NOUN
cana-3295	59	8	)	)	PUNCT
cana-3295	59	9	〉	〉	NOUN
cana-3295	59	10	,	,	PUNCT
cana-3295	59	11	〈	〈	NOUN
cana-3295	59	12	𝑟	𝑟	NOUN
cana-3295	59	13	,	,	PUNCT
cana-3295	59	14	(	(	PUNCT
cana-3295	60	1	[	[	X
cana-3295	60	2	0.1,0.4	0.1,0.4	X
cana-3295	60	3	]	]	X
cana-3295	60	4	,	,	PUNCT
cana-3295	61	1	[	[	X
cana-3295	61	2	0.3,0.7	0.3,0.7	PROPN
cana-3295	61	3	]	]	PUNCT
cana-3295	61	4	,	,	PUNCT
cana-3295	62	1	[	[	X
cana-3295	62	2	0.4,0.8	0.4,0.8	PROPN
cana-3295	62	3	]	]	X
cana-3295	62	4	)	)	PUNCT
cana-3295	62	5	,	,	PUNCT
cana-3295	62	6	(	(	PUNCT
cana-3295	62	7	0.30,0.58,0.71	0.30,0.58,0.71	NOUN
cana-3295	62	8	)	)	PUNCT
cana-3295	62	9	〉	〉	NOUN
cana-3295	62	10	,	,	PUNCT
cana-3295	62	11	〈	〈	NOUN
cana-3295	62	12	𝑣	𝑣	NOUN
cana-3295	62	13	,	,	PUNCT
cana-3295	62	14	(	(	PUNCT
cana-3295	62	15	[	[	X
cana-3295	62	16	0.2,0.3	0.2,0.3	X
cana-3295	62	17	]	]	PUNCT
cana-3295	62	18	,	,	PUNCT
cana-3295	62	19	[	[	X
cana-3295	62	20	0.4,0.8	0.4,0.8	PROPN
cana-3295	62	21	]	]	PUNCT
cana-3295	62	22	,	,	PUNCT
cana-3295	62	23	[	[	X
cana-3295	62	24	0.3,0.5	0.3,0.5	NUM
cana-3295	62	25	]	]	X
cana-3295	62	26	)	)	PUNCT
cana-3295	62	27	,	,	PUNCT
cana-3295	62	28	(	(	PUNCT
cana-3295	62	29	0.27,0.65,0.47	0.27,0.65,0.47	X
cana-3295	62	30	)	)	PUNCT
cana-3295	62	31	〉	〉	NOUN
cana-3295	62	32	}	}	PUNCT
cana-3295	62	33	the	the	DET
cana-3295	62	34	pair	pair	NOUN
cana-3295	62	35	�	�	NOUN
cana-3295	62	36	̂	̂	NOUN
cana-3295	62	37	�	�	NOUN
cana-3295	62	38	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	62	39	=	=	SYM
cana-3295	62	40	(	(	PUNCT
cana-3295	62	41	�	�	PROPN
cana-3295	62	42	̂	̂	SYM
cana-3295	62	43	�	�	PROPN
cana-3295	62	44	,	,	PUNCT
cana-3295	62	45	𝜛	𝜛	NOUN
cana-3295	62	46	)	)	PUNCT
cana-3295	62	47	satisfies	satisfie	NOUN
cana-3295	62	48	,	,	PUNCT
cana-3295	62	49	(	(	PUNCT
cana-3295	62	50	𝕋𝒟	𝕋𝒟	VERB
cana-3295	62	51	−(	−(	VERB
cana-3295	62	52	�	�	PROPN
cana-3295	62	53	̂	̂	NOUN
cana-3295	62	54	�	�	NOUN
cana-3295	62	55	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	62	56	)	)	PUNCT
cana-3295	62	57	≤	≤	NUM
cana-3295	62	58	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	62	59	�	�	PROPN
cana-3295	62	60	̂	̂	NOUN
cana-3295	62	61	�	�	NOUN
cana-3295	62	62	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	62	63	)	)	PUNCT
cana-3295	62	64	≤	≤	NUM
cana-3295	62	65	𝕋𝒟	𝕋𝒟	VERB
cana-3295	62	66	+	+	PROPN
cana-3295	62	67	(	(	PUNCT
cana-3295	62	68	�	�	NOUN
cana-3295	62	69	̂	̂	SYM
cana-3295	62	70	�	�	NOUN
cana-3295	62	71	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	62	72	)	)	PUNCT
cana-3295	62	73	)	)	PUNCT
cana-3295	62	74	,	,	PUNCT
cana-3295	62	75	(	(	PUNCT
cana-3295	62	76	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	62	77	−(	−(	PROPN
cana-3295	62	78	�	�	PROPN
cana-3295	62	79	̂	̂	NOUN
cana-3295	62	80	�	�	NOUN
cana-3295	62	81	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	62	82	)	)	PUNCT
cana-3295	62	83	≤	≤	NUM
cana-3295	63	1	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	63	2	�	�	PROPN
cana-3295	63	3	̂	̂	NOUN
cana-3295	63	4	�	�	NOUN
cana-3295	63	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	63	6	)	)	PUNCT
cana-3295	63	7	≤	≤	PUNCT
cana-3295	63	8	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	63	9	+	+	PROPN
cana-3295	63	10	(	(	PUNCT
cana-3295	63	11	�	�	NOUN
cana-3295	63	12	̂	̂	SYM
cana-3295	63	13	�	�	NOUN
cana-3295	63	14	𝑃𝑁𝐶𝑆)),(𝔽𝒟	𝑃𝑁𝐶𝑆)),(𝔽𝒟	SYM
cana-3295	63	15	−(	−(	NOUN
cana-3295	63	16	�	�	NOUN
cana-3295	63	17	̂	̂	NOUN
cana-3295	63	18	�	�	NOUN
cana-3295	63	19	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	63	20	)	)	PUNCT
cana-3295	63	21	≤	≤	PROPN
cana-3295	63	22	𝜛𝔽(	𝜛𝔽(	ADP
cana-3295	63	23	�	�	PROPN
cana-3295	63	24	̂	̂	NOUN
cana-3295	63	25	�	�	NOUN
cana-3295	63	26	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	63	27	)	)	PUNCT
cana-3295	63	28	≤	≤	NUM
cana-3295	64	1	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	64	2	+	+	PROPN
cana-3295	64	3	(	(	PUNCT
cana-3295	64	4	�	�	NOUN
cana-3295	64	5	̂	̂	SYM
cana-3295	64	6	�	�	NOUN
cana-3295	64	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	64	8	)	)	PUNCT
cana-3295	64	9	)	)	PUNCT
cana-3295	64	10	.	.	PUNCT
cana-3295	65	1	then	then	ADV
cana-3295	65	2	the	the	DET
cana-3295	65	3	pair	pair	NOUN
cana-3295	65	4	�	�	NOUN
cana-3295	65	5	̂	̂	NOUN
cana-3295	65	6	�	�	NOUN
cana-3295	65	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	65	8	=	=	SYM
cana-3295	65	9	(	(	PUNCT
cana-3295	65	10	�	�	PROPN
cana-3295	65	11	̂	̂	SYM
cana-3295	65	12	�	�	PROPN
cana-3295	65	13	,	,	PUNCT
cana-3295	65	14	𝜛	𝜛	X
cana-3295	65	15	)	)	PUNCT
cana-3295	65	16	is	be	AUX
cana-3295	65	17	called	call	VERB
cana-3295	65	18	ipncs	ipnc	NOUN
cana-3295	65	19	.	.	PUNCT
cana-3295	66	1	definition	definition	NOUN
cana-3295	66	2	3.5	3.5	NUM
cana-3295	66	3	let	let	VERB
cana-3295	66	4	�	�	SYM
cana-3295	66	5	̂	̂	VERB
cana-3295	66	6	�	�	PROPN
cana-3295	66	7	≠	≠	PROPN
cana-3295	66	8	𝜙.	𝜙.	NOUN
cana-3295	66	9	a	a	DET
cana-3295	66	10	pncs	pncs	PROPN
cana-3295	66	11	�	�	SYM
cana-3295	66	12	̂	̂	NOUN
cana-3295	66	13	�	�	NOUN
cana-3295	66	14	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	15	=	=	SYM
cana-3295	66	16	(	(	PUNCT
cana-3295	66	17	�	�	PROPN
cana-3295	66	18	̂	̂	SYM
cana-3295	66	19	�	�	PROPN
cana-3295	66	20	,	,	PUNCT
cana-3295	66	21	𝜛	𝜛	PROPN
cana-3295	66	22	)	)	PUNCT
cana-3295	66	23	in	in	ADP
cana-3295	66	24	�	�	PROPN
cana-3295	66	25	̂	̂	SYM
cana-3295	66	26	�	�	NOUN
cana-3295	66	27	is	be	AUX
cana-3295	66	28	said	say	VERB
cana-3295	66	29	to	to	PART
cana-3295	66	30	be	be	AUX
cana-3295	66	31	�	�	NOUN
cana-3295	66	32	̂	̂	NOUN
cana-3295	66	33	�	�	NOUN
cana-3295	66	34	-external	-external	NOUN
cana-3295	66	35	,	,	PUNCT
cana-3295	66	36	𝜛𝕋(	𝜛𝕋(	X
cana-3295	66	37	�	�	PROPN
cana-3295	66	38	̂	̂	NUM
cana-3295	66	39	�	�	NOUN
cana-3295	66	40	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	41	)	)	PUNCT
cana-3295	66	42	∉	∉	PROPN
cana-3295	66	43	(	(	PUNCT
cana-3295	66	44	𝕋𝒟	𝕋𝒟	VERB
cana-3295	66	45	−(	−(	VERB
cana-3295	66	46	�	�	PROPN
cana-3295	66	47	̂	̂	NOUN
cana-3295	66	48	�	�	NOUN
cana-3295	66	49	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	50	)	)	PUNCT
cana-3295	66	51	,	,	PUNCT
cana-3295	66	52	𝕋𝒟	𝕋𝒟	VERB
cana-3295	66	53	+	+	PROPN
cana-3295	66	54	(	(	PUNCT
cana-3295	66	55	�	�	NOUN
cana-3295	66	56	̂	̂	SYM
cana-3295	66	57	�	�	NOUN
cana-3295	66	58	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	59	)	)	PUNCT
cana-3295	66	60	)	)	PUNCT
cana-3295	66	61	∀	∀	PUNCT
cana-3295	66	62	�	�	NOUN
cana-3295	66	63	̂	̂	SYM
cana-3295	66	64	�	�	NOUN
cana-3295	66	65	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	66	66	∈	∈	PROPN
cana-3295	66	67	�	�	PROPN
cana-3295	66	68	̂	̂	VERB
cana-3295	66	69	�	�	PROPN
cana-3295	66	70	,	,	PUNCT
cana-3295	66	71	𝐼-external	𝐼-external	PROPN
cana-3295	66	72	if	if	SCONJ
cana-3295	66	73	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	66	74	�	�	PROPN
cana-3295	66	75	̂	̂	NUM
cana-3295	66	76	�	�	NOUN
cana-3295	66	77	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	78	)	)	PUNCT
cana-3295	66	79	∉	∉	PROPN
cana-3295	66	80	(	(	PUNCT
cana-3295	66	81	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	66	82	−(	−(	PROPN
cana-3295	66	83	�	�	PROPN
cana-3295	66	84	̂	̂	NOUN
cana-3295	66	85	�	�	NOUN
cana-3295	66	86	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	87	)	)	PUNCT
cana-3295	66	88	,	,	PUNCT
cana-3295	66	89	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	66	90	+	+	PROPN
cana-3295	66	91	(	(	PUNCT
cana-3295	66	92	�	�	NOUN
cana-3295	66	93	̂	̂	NOUN
cana-3295	66	94	�	�	NOUN
cana-3295	66	95	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	96	)	)	PUNCT
cana-3295	66	97	)	)	PUNCT
cana-3295	66	98	∀	∀	PUNCT
cana-3295	66	99	�	�	NOUN
cana-3295	66	100	̂	̂	SYM
cana-3295	66	101	�	�	NOUN
cana-3295	66	102	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	66	103	∈	∈	PROPN
cana-3295	66	104	�	�	PROPN
cana-3295	66	105	̂	̂	PROPN
cana-3295	66	106	�	�	PROPN
cana-3295	66	107	&	&	CCONJ
cana-3295	66	108	�	�	PROPN
cana-3295	66	109	̂	̂	NOUN
cana-3295	66	110	�	�	NOUN
cana-3295	66	111	-external	-external	NOUN
cana-3295	66	112	if	if	SCONJ
cana-3295	66	113	𝜛𝔽(	𝜛𝔽(	PROPN
cana-3295	66	114	�	�	PROPN
cana-3295	66	115	̂	̂	SYM
cana-3295	66	116	�	�	NOUN
cana-3295	66	117	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	118	)	)	PUNCT
cana-3295	66	119	∉	∉	PROPN
cana-3295	66	120	(	(	PUNCT
cana-3295	66	121	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	66	122	−(	−(	PROPN
cana-3295	66	123	�	�	PROPN
cana-3295	66	124	̂	̂	NOUN
cana-3295	66	125	�	�	NOUN
cana-3295	66	126	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	127	)	)	PUNCT
cana-3295	66	128	,	,	PUNCT
cana-3295	66	129	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	66	130	+	+	PROPN
cana-3295	66	131	(	(	PUNCT
cana-3295	66	132	�	�	NOUN
cana-3295	66	133	̂	̂	SYM
cana-3295	66	134	�	�	NOUN
cana-3295	66	135	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	66	136	)	)	PUNCT
cana-3295	66	137	)	)	PUNCT
cana-3295	66	138	∀	∀	PUNCT
cana-3295	66	139	�	�	NOUN
cana-3295	66	140	̂	̂	SYM
cana-3295	66	141	�	�	NOUN
cana-3295	66	142	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	66	143	∈	∈	PROPN
cana-3295	66	144	�	�	PROPN
cana-3295	66	145	̂	̂	NOUN
cana-3295	66	146	�	�	NOUN
cana-3295	66	147	.	.	PUNCT
cana-3295	67	1	if	if	SCONJ
cana-3295	67	2	a	a	DET
cana-3295	67	3	pncs	pncs	NOUN
cana-3295	67	4	satisfies	satisfy	VERB
cana-3295	67	5	the	the	DET
cana-3295	67	6	above	above	ADJ
cana-3295	67	7	inequalities	inequality	NOUN
cana-3295	67	8	then	then	ADV
cana-3295	67	9	,	,	PUNCT
cana-3295	67	10	�	�	PROPN
cana-3295	67	11	̂	̂	NOUN
cana-3295	67	12	�	�	NOUN
cana-3295	67	13	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	67	14	=	=	SYM
cana-3295	67	15	(	(	PUNCT
cana-3295	67	16	�	�	PROPN
cana-3295	67	17	̂	̂	SYM
cana-3295	67	18	�	�	PROPN
cana-3295	67	19	,	,	PUNCT
cana-3295	67	20	𝜛	𝜛	X
cana-3295	67	21	)	)	PUNCT
cana-3295	67	22	is	be	AUX
cana-3295	67	23	an	an	DET
cana-3295	67	24	epncs	epnc	NOUN
cana-3295	67	25	.	.	PUNCT
cana-3295	68	1	example	example	NOUN
cana-3295	68	2	3.6	3.6	NUM
cana-3295	68	3	let	let	VERB
cana-3295	68	4	ι̂	ι̂	NOUN
cana-3295	68	5	=	=	SYM
cana-3295	68	6	{	{	PUNCT
cana-3295	68	7	ℎ	ℎ	PROPN
cana-3295	68	8	,	,	PUNCT
cana-3295	68	9	𝑟	𝑟	NOUN
cana-3295	68	10	,	,	PUNCT
cana-3295	68	11	𝑣	𝑣	NOUN
cana-3295	68	12	}	}	PUNCT
cana-3295	68	13	.	.	PUNCT
cana-3295	69	1	then	then	ADV
cana-3295	69	2	the	the	DET
cana-3295	69	3	pair	pair	NOUN
cana-3295	69	4	�	�	NOUN
cana-3295	69	5	̂	̂	NOUN
cana-3295	69	6	�	�	NOUN
cana-3295	69	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	69	8	=	=	SYM
cana-3295	69	9	(	(	PUNCT
cana-3295	69	10	�	�	PROPN
cana-3295	69	11	̂	̂	SYM
cana-3295	69	12	�	�	PROPN
cana-3295	69	13	,	,	PUNCT
cana-3295	69	14	𝜛	𝜛	PROPN
cana-3295	69	15	)	)	PUNCT
cana-3295	69	16	with	with	ADP
cana-3295	69	17	the	the	DET
cana-3295	69	18	tabular	tabular	PROPN
cana-3295	69	19	representation	representation	NOUN
cana-3295	69	20	given	give	VERB
cana-3295	69	21	below	below	ADP
cana-3295	69	22	,	,	PUNCT
cana-3295	69	23	�	�	PROPN
cana-3295	69	24	̂	̂	SYM
cana-3295	69	25	�	�	PROPN
cana-3295	69	26	�	�	PROPN
cana-3295	69	27	̂	̂	PROPN
cana-3295	69	28	�	�	PROPN
cana-3295	69	29	𝑃𝑁𝐼𝑉𝑆(	𝑃𝑁𝐼𝑉𝑆(	PROPN
cana-3295	69	30	�	�	PROPN
cana-3295	69	31	̂	̂	NOUN
cana-3295	69	32	�	�	NOUN
cana-3295	69	33	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	69	34	)	)	PUNCT
cana-3295	69	35	𝜛𝑃𝑁𝑆(	𝜛𝑃𝑁𝑆(	NOUN
cana-3295	69	36	�	�	PROPN
cana-3295	69	37	̂	̂	SYM
cana-3295	69	38	�	�	NOUN
cana-3295	69	39	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	69	40	)	)	PUNCT
cana-3295	69	41	h	h	NOUN
cana-3295	70	1	(	(	PUNCT
cana-3295	70	2	[	[	X
cana-3295	70	3	0.1,0.3	0.1,0.3	X
cana-3295	70	4	]	]	PUNCT
cana-3295	70	5	,	,	PUNCT
cana-3295	71	1	[	[	X
cana-3295	71	2	0.4,0.6	0.4,0.6	X
cana-3295	71	3	]	]	X
cana-3295	71	4	,	,	PUNCT
cana-3295	72	1	[	[	X
cana-3295	72	2	0.5,0.8	0.5,0.8	PROPN
cana-3295	72	3	]	]	X
cana-3295	72	4	)	)	PUNCT
cana-3295	72	5	(	(	PUNCT
cana-3295	72	6	0.4,0.7,0.3	0.4,0.7,0.3	NOUN
cana-3295	72	7	)	)	PUNCT
cana-3295	72	8	r	r	NOUN
cana-3295	72	9	(	(	PUNCT
cana-3295	73	1	[	[	X
cana-3295	73	2	0.1,0.4	0.1,0.4	X
cana-3295	73	3	]	]	X
cana-3295	73	4	,	,	PUNCT
cana-3295	74	1	[	[	X
cana-3295	74	2	0.3,0.7	0.3,0.7	PROPN
cana-3295	74	3	]	]	PUNCT
cana-3295	74	4	,	,	PUNCT
cana-3295	75	1	[	[	X
cana-3295	75	2	0.4,0.8	0.4,0.8	PROPN
cana-3295	75	3	]	]	X
cana-3295	75	4	)	)	PUNCT
cana-3295	75	5	(	(	PUNCT
cana-3295	75	6	0.5	0.5	NUM
cana-3295	75	7	,	,	PUNCT
cana-3295	75	8	0.2	0.2	NUM
cana-3295	75	9	,	,	PUNCT
cana-3295	75	10	0.9	0.9	NUM
cana-3295	75	11	)	)	PUNCT
cana-3295	75	12	v	v	NOUN
cana-3295	75	13	(	(	PUNCT
cana-3295	75	14	[	[	X
cana-3295	75	15	0.2,0.3	0.2,0.3	X
cana-3295	75	16	]	]	PUNCT
cana-3295	75	17	,	,	PUNCT
cana-3295	75	18	[	[	X
cana-3295	75	19	0.6,0.8	0.6,0.8	X
cana-3295	75	20	]	]	PUNCT
cana-3295	75	21	,	,	PUNCT
cana-3295	75	22	[	[	X
cana-3295	75	23	0.3,0.5	0.3,0.5	NUM
cana-3295	75	24	]	]	X
cana-3295	75	25	)	)	PUNCT
cana-3295	75	26	(	(	PUNCT
cana-3295	75	27	0.1	0.1	NUM
cana-3295	75	28	,	,	PUNCT
cana-3295	75	29	0.5	0.5	NUM
cana-3295	75	30	,	,	PUNCT
cana-3295	75	31	0.6	0.6	NUM
cana-3295	75	32	)	)	PUNCT
cana-3295	75	33	table	table	NOUN
cana-3295	75	34	2	2	NUM
cana-3295	75	35	–	–	PUNCT
cana-3295	75	36	example	example	NOUN
cana-3295	75	37	of	of	ADP
cana-3295	75	38	epncs	epncs	PROPN
cana-3295	75	39	therefore,	therefore,	PROPN
cana-3295	75	40	�	�	PROPN
cana-3295	75	41	̂	̂	NOUN
cana-3295	75	42	�	�	NOUN
cana-3295	75	43	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	75	44	=	=	SYM
cana-3295	75	45	(	(	PUNCT
cana-3295	75	46	�	�	PROPN
cana-3295	75	47	̂	̂	SYM
cana-3295	75	48	�	�	PROPN
cana-3295	75	49	,	,	PUNCT
cana-3295	75	50	𝜛	𝜛	NOUN
cana-3295	75	51	)	)	PUNCT
cana-3295	75	52	�	�	PROPN
cana-3295	75	53	̂	̂	SYM
cana-3295	75	54	�	�	NOUN
cana-3295	75	55	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	75	56	=	=	SYM
cana-3295	75	57	{	{	PUNCT
cana-3295	75	58	〈	〈	NOUN
cana-3295	75	59	ℎ	ℎ	PROPN
cana-3295	75	60	,	,	PUNCT
cana-3295	75	61	(	(	PUNCT
cana-3295	75	62	[	[	X
cana-3295	75	63	0.1,0.3	0.1,0.3	X
cana-3295	75	64	]	]	X
cana-3295	75	65	,	,	PUNCT
cana-3295	76	1	[	[	X
cana-3295	76	2	0.4,0.6	0.4,0.6	X
cana-3295	76	3	]	]	X
cana-3295	76	4	,	,	PUNCT
cana-3295	77	1	[	[	X
cana-3295	77	2	0.5,0.8	0.5,0.8	PROPN
cana-3295	77	3	]	]	X
cana-3295	77	4	)	)	PUNCT
cana-3295	77	5	,	,	PUNCT
cana-3295	77	6	(	(	PUNCT
cana-3295	77	7	0.4,0.7,0.3	0.4,0.7,0.3	NOUN
cana-3295	77	8	)	)	PUNCT
cana-3295	77	9	〉	〉	NOUN
cana-3295	77	10	,	,	PUNCT
cana-3295	77	11	〈	〈	NOUN
cana-3295	77	12	𝑟	𝑟	NOUN
cana-3295	77	13	,	,	PUNCT
cana-3295	77	14	(	(	PUNCT
cana-3295	78	1	[	[	X
cana-3295	78	2	0.1,0.4	0.1,0.4	X
cana-3295	78	3	]	]	X
cana-3295	78	4	,	,	PUNCT
cana-3295	79	1	[	[	X
cana-3295	79	2	0.3,0.7	0.3,0.7	PROPN
cana-3295	79	3	]	]	PUNCT
cana-3295	79	4	,	,	PUNCT
cana-3295	80	1	[	[	X
cana-3295	80	2	0.4,0.8	0.4,0.8	PROPN
cana-3295	80	3	]	]	X
cana-3295	80	4	)	)	PUNCT
cana-3295	80	5	,	,	PUNCT
cana-3295	80	6	(	(	PUNCT
cana-3295	80	7	0.5	0.5	NUM
cana-3295	80	8	,	,	PUNCT
cana-3295	80	9	0.2	0.2	NUM
cana-3295	80	10	,	,	PUNCT
cana-3295	80	11	0.9	0.9	NUM
cana-3295	80	12	)	)	PUNCT
cana-3295	80	13	〉	〉	NOUN
cana-3295	80	14	,	,	PUNCT
cana-3295	80	15	〈	〈	NOUN
cana-3295	80	16	𝑣	𝑣	NOUN
cana-3295	80	17	,	,	PUNCT
cana-3295	80	18	(	(	PUNCT
cana-3295	81	1	[	[	X
cana-3295	81	2	0.2,0.3	0.2,0.3	X
cana-3295	81	3	]	]	PUNCT
cana-3295	81	4	,	,	PUNCT
cana-3295	81	5	[	[	X
cana-3295	81	6	0.6,0.8	0.6,0.8	X
cana-3295	81	7	]	]	PUNCT
cana-3295	81	8	,	,	PUNCT
cana-3295	81	9	[	[	X
cana-3295	81	10	0.3,0.5	0.3,0.5	NUM
cana-3295	81	11	]	]	X
cana-3295	81	12	)	)	PUNCT
cana-3295	81	13	,	,	PUNCT
cana-3295	81	14	(	(	PUNCT
cana-3295	81	15	0.1	0.1	NUM
cana-3295	81	16	,	,	PUNCT
cana-3295	81	17	0.5	0.5	NUM
cana-3295	81	18	,	,	PUNCT
cana-3295	81	19	0.6	0.6	NUM
cana-3295	81	20	)	)	PUNCT
cana-3295	81	21	〉	〉	NOUN
cana-3295	81	22	}	}	PUNCT
cana-3295	81	23	.	.	PUNCT
cana-3295	82	1	then	then	ADV
cana-3295	82	2	the	the	DET
cana-3295	82	3	pair	pair	NOUN
cana-3295	82	4	�	�	NOUN
cana-3295	82	5	̂	̂	NOUN
cana-3295	82	6	�	�	NOUN
cana-3295	82	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	82	8	=	=	SYM
cana-3295	82	9	(	(	PUNCT
cana-3295	82	10	�	�	PROPN
cana-3295	82	11	̂	̂	SYM
cana-3295	82	12	�	�	PROPN
cana-3295	82	13	,	,	PUNCT
cana-3295	82	14	𝜛)is	𝜛)is	PROPN
cana-3295	82	15	called	call	VERB
cana-3295	82	16	epncs	epnc	NOUN
cana-3295	82	17	.	.	PUNCT
cana-3295	83	1	theorem	theorem	VERB
cana-3295	83	2	3.7	3.7	NUM
cana-3295	83	3	let	let	VERB
cana-3295	83	4	�	�	SYM
cana-3295	83	5	̂	̂	VERB
cana-3295	83	6	�	�	NOUN
cana-3295	83	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	83	8	=	=	SYM
cana-3295	83	9	(	(	PUNCT
cana-3295	83	10	�	�	PROPN
cana-3295	83	11	̂	̂	SYM
cana-3295	83	12	�	�	PROPN
cana-3295	83	13	,	,	PUNCT
cana-3295	83	14	𝜛	𝜛	PROPN
cana-3295	83	15	)	)	PUNCT
cana-3295	83	16	be	be	VERB
cana-3295	83	17	a	a	DET
cana-3295	83	18	pncs	pncs	NOUN
cana-3295	83	19	in	in	ADP
cana-3295	83	20	�	�	PROPN
cana-3295	83	21	̂	̂	SYM
cana-3295	83	22	�	�	PROPN
cana-3295	83	23	≠	≠	PROPN
cana-3295	83	24	𝜙	𝜙	PRON
cana-3295	83	25	which	which	PRON
cana-3295	83	26	is	be	AUX
cana-3295	83	27	not	not	PART
cana-3295	83	28	epncs	epnc	NOUN
cana-3295	83	29	.	.	PUNCT
cana-3295	84	1	then	then	ADV
cana-3295	84	2	there	there	PRON
cana-3295	84	3	exists	exist	VERB
cana-3295	84	4	�	�	PROPN
cana-3295	84	5	̂	̂	SYM
cana-3295	84	6	�	�	NOUN
cana-3295	84	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	84	8	∈	∈	PROPN
cana-3295	84	9	ι̂	ι̂	NOUN
cana-3295	84	10	such	such	ADJ
cana-3295	84	11	that	that	SCONJ
cana-3295	84	12	𝜛𝑃𝑁𝑆(	𝜛𝑃𝑁𝑆(	VERB
cana-3295	84	13	�	�	PROPN
cana-3295	84	14	̂	̂	SYM
cana-3295	84	15	�	�	NOUN
cana-3295	84	16	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	84	17	)	)	PUNCT
cana-3295	84	18	∈	∈	PROPN
cana-3295	84	19	�	�	PROPN
cana-3295	84	20	̂	̂	NOUN
cana-3295	84	21	�	�	PROPN
cana-3295	84	22	𝑃𝑁𝐼𝑉𝑆(	𝑃𝑁𝐼𝑉𝑆(	PROPN
cana-3295	84	23	�	�	PROPN
cana-3295	84	24	̂	̂	NOUN
cana-3295	84	25	�	�	NOUN
cana-3295	84	26	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	84	27	)	)	PUNCT
cana-3295	84	28	.	.	PUNCT
cana-3295	85	1	proof	proof	NOUN
cana-3295	85	2	:	:	PUNCT
cana-3295	85	3	let	let	VERB
cana-3295	85	4	�	�	PRON
cana-3295	85	5	̂	̂	VERB
cana-3295	85	6	�	�	NOUN
cana-3295	85	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	85	8	=	=	SYM
cana-3295	85	9	(	(	PUNCT
cana-3295	85	10	�	�	PROPN
cana-3295	85	11	̂	̂	SYM
cana-3295	85	12	�	�	PROPN
cana-3295	85	13	,	,	PUNCT
cana-3295	85	14	𝜛	𝜛	NOUN
cana-3295	85	15	)	)	PUNCT
cana-3295	85	16	be	be	VERB
cana-3295	85	17	pncs	pnc	NOUN
cana-3295	85	18	.	.	PUNCT
cana-3295	86	1	given	give	VERB
cana-3295	86	2	that	that	PRON
cana-3295	86	3	�	�	PROPN
cana-3295	86	4	̂	̂	SYM
cana-3295	86	5	�	�	NOUN
cana-3295	86	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	86	7	=	=	SYM
cana-3295	86	8	(	(	PUNCT
cana-3295	86	9	�	�	PROPN
cana-3295	86	10	̂	̂	SYM
cana-3295	86	11	�	�	PROPN
cana-3295	86	12	,	,	PUNCT
cana-3295	86	13	𝜛	𝜛	X
cana-3295	86	14	)	)	PUNCT
cana-3295	86	15	is	be	AUX
cana-3295	86	16	not	not	PART
cana-3295	86	17	external	external	ADJ
cana-3295	86	18	.	.	PUNCT
cana-3295	87	1	then	then	ADV
cana-3295	87	2	�	�	PROPN
cana-3295	87	3	̂	̂	SYM
cana-3295	87	4	�	�	NOUN
cana-3295	87	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	6	does	do	AUX
cana-3295	87	7	not	not	PART
cana-3295	87	8	satisfies	satisfy	VERB
cana-3295	87	9	the	the	DET
cana-3295	87	10	following	follow	VERB
cana-3295	87	11	conditions	condition	NOUN
cana-3295	87	12	,	,	PUNCT
cana-3295	87	13	i.e.	i.e.	X
cana-3295	87	14	,	,	PUNCT
cana-3295	87	15	𝜛𝕋(	𝜛𝕋(	X
cana-3295	87	16	�	�	PROPN
cana-3295	87	17	̂	̂	NUM
cana-3295	87	18	�	�	NOUN
cana-3295	87	19	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	20	)	)	PUNCT
cana-3295	87	21	∉	∉	PROPN
cana-3295	87	22	(	(	PUNCT
cana-3295	87	23	𝕋𝒟	𝕋𝒟	VERB
cana-3295	87	24	−(	−(	VERB
cana-3295	87	25	�	�	PROPN
cana-3295	87	26	̂	̂	NOUN
cana-3295	87	27	�	�	NOUN
cana-3295	87	28	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	29	)	)	PUNCT
cana-3295	87	30	,	,	PUNCT
cana-3295	87	31	𝕋𝒟	𝕋𝒟	VERB
cana-3295	87	32	+	+	PROPN
cana-3295	87	33	(	(	PUNCT
cana-3295	87	34	�	�	NOUN
cana-3295	87	35	̂	̂	SYM
cana-3295	87	36	�	�	NOUN
cana-3295	87	37	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	38	)	)	PUNCT
cana-3295	87	39	)	)	PUNCT
cana-3295	87	40	,	,	PUNCT
cana-3295	87	41	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	87	42	�	�	PROPN
cana-3295	87	43	̂	̂	NUM
cana-3295	87	44	�	�	NOUN
cana-3295	87	45	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	46	)	)	PUNCT
cana-3295	87	47	∉	∉	PROPN
cana-3295	87	48	(	(	PUNCT
cana-3295	87	49	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	87	50	−(	−(	PROPN
cana-3295	87	51	�	�	PROPN
cana-3295	87	52	̂	̂	NOUN
cana-3295	87	53	�	�	NOUN
cana-3295	87	54	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	55	)	)	PUNCT
cana-3295	87	56	,	,	PUNCT
cana-3295	87	57	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	87	58	+	+	PROPN
cana-3295	87	59	(	(	PUNCT
cana-3295	87	60	�	�	NOUN
cana-3295	87	61	̂	̂	NOUN
cana-3295	87	62	�	�	NOUN
cana-3295	87	63	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	64	)	)	PUNCT
cana-3295	87	65	)	)	PUNCT
cana-3295	87	66	,	,	PUNCT
cana-3295	87	67	𝜛𝔽(	𝜛𝔽(	PROPN
cana-3295	87	68	�	�	PROPN
cana-3295	87	69	̂	̂	SYM
cana-3295	87	70	�	�	NOUN
cana-3295	87	71	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	72	)	)	PUNCT
cana-3295	87	73	∉	∉	PROPN
cana-3295	87	74	(	(	PUNCT
cana-3295	87	75	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	87	76	−(	−(	PROPN
cana-3295	87	77	�	�	PROPN
cana-3295	87	78	̂	̂	NOUN
cana-3295	87	79	�	�	NOUN
cana-3295	87	80	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	81	)	)	PUNCT
cana-3295	87	82	,	,	PUNCT
cana-3295	87	83	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	87	84	+	+	PROPN
cana-3295	87	85	(	(	PUNCT
cana-3295	87	86	�	�	NOUN
cana-3295	87	87	̂	̂	SYM
cana-3295	87	88	�	�	NOUN
cana-3295	87	89	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	87	90	)	)	PUNCT
cana-3295	87	91	)	)	PUNCT
cana-3295	87	92	∀	∀	PUNCT
cana-3295	87	93	�	�	NOUN
cana-3295	87	94	̂	̂	SYM
cana-3295	87	95	�	�	NOUN
cana-3295	87	96	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	87	97	∈	∈	PROPN
cana-3295	87	98	�	�	PROPN
cana-3295	87	99	̂	̂	PROPN
cana-3295	87	100	�	�	PROPN
cana-3295	87	101	.	.	PUNCT
cana-3295	88	1	then	then	ADV
cana-3295	88	2	�	�	PROPN
cana-3295	88	3	̂	̂	SYM
cana-3295	88	4	�	�	NOUN
cana-3295	88	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	88	6	must	must	AUX
cana-3295	88	7	be	be	AUX
cana-3295	88	8	ipncs.∴	ipncs.∴	PUNCT
cana-3295	88	9	𝜛𝑃𝑁𝑆(	𝜛𝑃𝑁𝑆(	PART
cana-3295	88	10	�	�	PROPN
cana-3295	88	11	̂	̂	SYM
cana-3295	88	12	�	�	NOUN
cana-3295	88	13	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	88	14	)	)	PUNCT
cana-3295	88	15	∈	∈	PROPN
cana-3295	88	16	�	�	PROPN
cana-3295	88	17	̂	̂	NOUN
cana-3295	88	18	�	�	PROPN
cana-3295	88	19	𝑃𝑁𝐼𝑉𝑆(	𝑃𝑁𝐼𝑉𝑆(	PROPN
cana-3295	88	20	�	�	PROPN
cana-3295	88	21	̂	̂	NOUN
cana-3295	88	22	�	�	NOUN
cana-3295	88	23	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	88	24	)	)	PUNCT
cana-3295	88	25	.	.	PUNCT
cana-3295	89	1	theorem	theorem	VERB
cana-3295	89	2	3.8	3.8	NUM
cana-3295	89	3	communications	communication	NOUN
cana-3295	89	4	on	on	ADP
cana-3295	89	5	applied	apply	VERB
cana-3295	89	6	nonlinear	nonlinear	ADJ
cana-3295	89	7	analysis	analysis	NOUN
cana-3295	89	8	issn	issn	NOUN
cana-3295	89	9	:	:	PUNCT
cana-3295	89	10	1074	1074	NUM
cana-3295	89	11	-	-	PUNCT
cana-3295	89	12	133x	133x	NUM
cana-3295	89	13	vol	vol	NOUN
cana-3295	89	14	32	32	NUM
cana-3295	89	15	no	no	NOUN
cana-3295	89	16	.	.	PUNCT
cana-3295	90	1	6s	6s	NUM
cana-3295	90	2	(	(	PUNCT
cana-3295	90	3	2025	2025	NUM
cana-3295	90	4	)	)	PUNCT
cana-3295	90	5	293	293	NUM
cana-3295	90	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3295	90	7	let	let	VERB
cana-3295	90	8	�	�	PROPN
cana-3295	90	9	̂	̂	VERB
cana-3295	90	10	�	�	NOUN
cana-3295	90	11	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	90	12	=	=	SYM
cana-3295	90	13	(	(	PUNCT
cana-3295	90	14	�	�	PROPN
cana-3295	90	15	̂	̂	SYM
cana-3295	90	16	�	�	PROPN
cana-3295	90	17	,	,	PUNCT
cana-3295	90	18	𝜛	𝜛	PROPN
cana-3295	90	19	)	)	PUNCT
cana-3295	90	20	be	be	VERB
cana-3295	90	21	pncs	pnc	NOUN
cana-3295	90	22	in	in	ADP
cana-3295	90	23	�	�	PROPN
cana-3295	90	24	̂	̂	SYM
cana-3295	90	25	�	�	PROPN
cana-3295	90	26	≠	≠	PROPN
cana-3295	90	27	𝜙	𝜙	PRON
cana-3295	90	28	which	which	PRON
cana-3295	90	29	is	be	AUX
cana-3295	90	30	not	not	PART
cana-3295	90	31	t	t	NOUN
cana-3295	90	32	-	-	PUNCT
cana-3295	90	33	ipncs	ipncs	NOUN
cana-3295	90	34	then	then	ADV
cana-3295	90	35	exists	exist	VERB
cana-3295	90	36	�	�	PROPN
cana-3295	90	37	̂	̂	SYM
cana-3295	90	38	�	�	NOUN
cana-3295	90	39	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	90	40	∈	∈	PROPN
cana-3295	90	41	�	�	PROPN
cana-3295	90	42	̂	̂	PROPN
cana-3295	90	43	�	�	PROPN
cana-3295	90	44	,	,	PUNCT
cana-3295	90	45	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	90	46	�	�	PROPN
cana-3295	90	47	̂	̂	NUM
cana-3295	90	48	�	�	NOUN
cana-3295	90	49	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	90	50	)	)	PUNCT
cana-3295	90	51	∉	∉	PROPN
cana-3295	91	1	𝕋𝒟(	𝕋𝒟(	ADJ
cana-3295	91	2	�	�	PROPN
cana-3295	91	3	̂	̂	SYM
cana-3295	91	4	�	�	NOUN
cana-3295	91	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	91	6	)	)	PUNCT
cana-3295	91	7	.	.	PUNCT
cana-3295	92	1	proof	proof	NOUN
cana-3295	92	2	let	let	VERB
cana-3295	92	3	�	�	PROPN
cana-3295	92	4	̂	̂	VERB
cana-3295	92	5	�	�	NOUN
cana-3295	92	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	92	7	=	=	SYM
cana-3295	92	8	(	(	PUNCT
cana-3295	92	9	�	�	PROPN
cana-3295	92	10	̂	̂	SYM
cana-3295	92	11	�	�	PROPN
cana-3295	92	12	,	,	PUNCT
cana-3295	92	13	𝜛	𝜛	NOUN
cana-3295	92	14	)	)	PUNCT
cana-3295	92	15	be	be	VERB
cana-3295	92	16	pncs	pnc	NOUN
cana-3295	92	17	.	.	PUNCT
cana-3295	93	1	given	give	VERB
cana-3295	93	2	that	that	PRON
cana-3295	93	3	�	�	PROPN
cana-3295	93	4	̂	̂	SYM
cana-3295	93	5	�	�	NOUN
cana-3295	93	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	93	7	=	=	SYM
cana-3295	93	8	(	(	PUNCT
cana-3295	93	9	�	�	PROPN
cana-3295	93	10	̂	̂	SYM
cana-3295	93	11	�	�	PROPN
cana-3295	93	12	,	,	PUNCT
cana-3295	93	13	𝜛	𝜛	X
cana-3295	93	14	)	)	PUNCT
cana-3295	93	15	is	be	AUX
cana-3295	93	16	not	not	PART
cana-3295	93	17	t	t	NOUN
cana-3295	93	18	-	-	PUNCT
cana-3295	93	19	ipncs	ipncs	NOUN
cana-3295	93	20	.	.	PUNCT
cana-3295	94	1	then	then	ADV
cana-3295	94	2	�	�	PROPN
cana-3295	94	3	̂	̂	SYM
cana-3295	94	4	�	�	NOUN
cana-3295	94	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	94	6	does	do	AUX
cana-3295	94	7	not	not	PART
cana-3295	94	8	satisfies	satisfy	VERB
cana-3295	94	9	,	,	PUNCT
cana-3295	94	10	(	(	PUNCT
cana-3295	94	11	𝕋𝒟	𝕋𝒟	VERB
cana-3295	94	12	−(	−(	VERB
cana-3295	94	13	�	�	PROPN
cana-3295	94	14	̂	̂	NOUN
cana-3295	94	15	�	�	NOUN
cana-3295	94	16	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	94	17	)	)	PUNCT
cana-3295	94	18	≤	≤	NUM
cana-3295	94	19	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	94	20	�	�	PROPN
cana-3295	94	21	̂	̂	NOUN
cana-3295	94	22	�	�	NOUN
cana-3295	94	23	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	94	24	)	)	PUNCT
cana-3295	94	25	≤	≤	NUM
cana-3295	94	26	𝕋𝒟	𝕋𝒟	VERB
cana-3295	94	27	+	+	PROPN
cana-3295	94	28	(	(	PUNCT
cana-3295	94	29	�	�	NOUN
cana-3295	94	30	̂	̂	SYM
cana-3295	94	31	�	�	NOUN
cana-3295	94	32	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	94	33	)	)	PUNCT
cana-3295	94	34	)	)	PUNCT
cana-3295	94	35	.	.	PUNCT
cana-3295	95	1	therefore,𝜛𝕋(	therefore,𝜛𝕋(	PROPN
cana-3295	95	2	�	�	PROPN
cana-3295	95	3	̂	̂	PROPN
cana-3295	95	4	�	�	NOUN
cana-3295	95	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	6	)	)	PUNCT
cana-3295	95	7	∉	∉	PROPN
cana-3295	95	8	𝕋𝒟(	𝕋𝒟(	ADJ
cana-3295	95	9	�	�	PROPN
cana-3295	95	10	̂	̂	SYM
cana-3295	95	11	�	�	NOUN
cana-3295	95	12	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	13	)	)	PUNCT
cana-3295	95	14	theorem	theorem	VERB
cana-3295	95	15	3.10	3.10	NUM
cana-3295	95	16	let	let	VERB
cana-3295	95	17	�	�	SYM
cana-3295	95	18	̂	̂	VERB
cana-3295	95	19	�	�	NOUN
cana-3295	95	20	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	21	=	=	SYM
cana-3295	95	22	(	(	PUNCT
cana-3295	95	23	�	�	PROPN
cana-3295	95	24	̂	̂	SYM
cana-3295	95	25	�	�	PROPN
cana-3295	95	26	,	,	PUNCT
cana-3295	95	27	𝜛	𝜛	PROPN
cana-3295	95	28	)	)	PUNCT
cana-3295	95	29	be	be	VERB
cana-3295	95	30	pncs	pnc	NOUN
cana-3295	95	31	in	in	ADP
cana-3295	95	32	�	�	PROPN
cana-3295	95	33	̂	̂	SYM
cana-3295	95	34	�	�	PROPN
cana-3295	95	35	≠	≠	PROPN
cana-3295	95	36	𝜙	𝜙	PRON
cana-3295	95	37	which	which	PRON
cana-3295	95	38	is	be	AUX
cana-3295	95	39	not	not	PART
cana-3295	95	40	i	i	PRON
cana-3295	95	41	-	-	PUNCT
cana-3295	95	42	ipncs	ipnc	NOUN
cana-3295	95	43	then	then	ADV
cana-3295	95	44	exists	exist	VERB
cana-3295	95	45	�	�	PROPN
cana-3295	95	46	̂	̂	SYM
cana-3295	95	47	�	�	NOUN
cana-3295	95	48	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	95	49	∈	∈	PROPN
cana-3295	95	50	�	�	PROPN
cana-3295	95	51	̂	̂	PROPN
cana-3295	95	52	�	�	PROPN
cana-3295	95	53	,	,	PUNCT
cana-3295	95	54	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	95	55	�	�	PROPN
cana-3295	95	56	̂	̂	NUM
cana-3295	95	57	�	�	NOUN
cana-3295	95	58	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	59	)	)	PUNCT
cana-3295	95	60	∉	∉	PROPN
cana-3295	95	61	𝕀𝒟(	𝕀𝒟(	PROPN
cana-3295	95	62	�	�	PROPN
cana-3295	95	63	̂	̂	NUM
cana-3295	95	64	�	�	NOUN
cana-3295	95	65	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	66	)	)	PUNCT
cana-3295	95	67	proof	proof	NOUN
cana-3295	95	68	let	let	VERB
cana-3295	95	69	�	�	PROPN
cana-3295	95	70	̂	̂	VERB
cana-3295	95	71	�	�	NOUN
cana-3295	95	72	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	95	73	=	=	SYM
cana-3295	95	74	(	(	PUNCT
cana-3295	95	75	�	�	PROPN
cana-3295	95	76	̂	̂	SYM
cana-3295	95	77	�	�	PROPN
cana-3295	95	78	,	,	PUNCT
cana-3295	95	79	𝜛	𝜛	NOUN
cana-3295	95	80	)	)	PUNCT
cana-3295	95	81	be	be	VERB
cana-3295	95	82	pncs	pnc	NOUN
cana-3295	95	83	.	.	PUNCT
cana-3295	96	1	given	give	VERB
cana-3295	96	2	that	that	PRON
cana-3295	96	3	�	�	PROPN
cana-3295	96	4	̂	̂	SYM
cana-3295	96	5	�	�	NOUN
cana-3295	96	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	96	7	=	=	SYM
cana-3295	96	8	(	(	PUNCT
cana-3295	96	9	�	�	PROPN
cana-3295	96	10	̂	̂	SYM
cana-3295	96	11	�	�	PROPN
cana-3295	96	12	,	,	PUNCT
cana-3295	96	13	𝜛	𝜛	X
cana-3295	96	14	)	)	PUNCT
cana-3295	96	15	is	be	AUX
cana-3295	96	16	not	not	PART
cana-3295	96	17	i	i	NOUN
cana-3295	96	18	-	-	PUNCT
cana-3295	96	19	ipncs	ipnc	NOUN
cana-3295	96	20	.	.	PUNCT
cana-3295	97	1	then	then	ADV
cana-3295	97	2	�	�	PROPN
cana-3295	97	3	̂	̂	SYM
cana-3295	97	4	�	�	NOUN
cana-3295	97	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	97	6	does	do	AUX
cana-3295	97	7	not	not	PART
cana-3295	97	8	satisfies	satisfy	VERB
cana-3295	97	9	,	,	PUNCT
cana-3295	97	10	(	(	PUNCT
cana-3295	97	11	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	97	12	−(	−(	PROPN
cana-3295	97	13	�	�	PROPN
cana-3295	97	14	̂	̂	NOUN
cana-3295	97	15	�	�	NOUN
cana-3295	97	16	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	97	17	)	)	PUNCT
cana-3295	97	18	≤	≤	NUM
cana-3295	98	1	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	98	2	�	�	PROPN
cana-3295	98	3	̂	̂	NOUN
cana-3295	98	4	�	�	NOUN
cana-3295	98	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	98	6	)	)	PUNCT
cana-3295	98	7	≤	≤	PUNCT
cana-3295	98	8	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	98	9	+	+	PROPN
cana-3295	98	10	(	(	PUNCT
cana-3295	98	11	�	�	NOUN
cana-3295	98	12	̂	̂	NOUN
cana-3295	98	13	�	�	NOUN
cana-3295	98	14	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	98	15	)	)	PUNCT
cana-3295	98	16	)	)	PUNCT
cana-3295	98	17	.	.	PUNCT
cana-3295	99	1	therefore,𝜛𝕀(	therefore,𝜛𝕀(	PROPN
cana-3295	99	2	�	�	PROPN
cana-3295	99	3	̂	̂	SYM
cana-3295	99	4	�	�	NOUN
cana-3295	99	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	99	6	)	)	PUNCT
cana-3295	99	7	∉	∉	PROPN
cana-3295	99	8	𝕀𝒟(	𝕀𝒟(	PROPN
cana-3295	99	9	�	�	PROPN
cana-3295	99	10	̂	̂	NUM
cana-3295	99	11	�	�	NOUN
cana-3295	99	12	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	99	13	)	)	PUNCT
cana-3295	99	14	theorem	theorem	VERB
cana-3295	99	15	3.11	3.11	NUM
cana-3295	99	16	let	let	VERB
cana-3295	99	17	�	�	SYM
cana-3295	99	18	̂	̂	VERB
cana-3295	99	19	�	�	NOUN
cana-3295	99	20	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	99	21	=	=	SYM
cana-3295	99	22	(	(	PUNCT
cana-3295	99	23	�	�	PROPN
cana-3295	99	24	̂	̂	SYM
cana-3295	99	25	�	�	PROPN
cana-3295	99	26	,	,	PUNCT
cana-3295	99	27	𝜛	𝜛	PROPN
cana-3295	99	28	)	)	PUNCT
cana-3295	99	29	be	be	VERB
cana-3295	99	30	pncs	pnc	NOUN
cana-3295	99	31	in	in	ADP
cana-3295	99	32	�	�	PROPN
cana-3295	99	33	̂	̂	SYM
cana-3295	99	34	�	�	PROPN
cana-3295	99	35	≠	≠	PROPN
cana-3295	99	36	𝜙	𝜙	PRON
cana-3295	99	37	which	which	PRON
cana-3295	99	38	is	be	AUX
cana-3295	99	39	not	not	PART
cana-3295	99	40	f	f	NOUN
cana-3295	99	41	-	-	PUNCT
cana-3295	99	42	ipncs	ipncs	NOUN
cana-3295	99	43	then	then	ADV
cana-3295	99	44	exists	exist	VERB
cana-3295	99	45	�	�	PROPN
cana-3295	99	46	̂	̂	SYM
cana-3295	99	47	�	�	NOUN
cana-3295	99	48	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	99	49	∈	∈	PROPN
cana-3295	99	50	�	�	PROPN
cana-3295	99	51	̂	̂	PROPN
cana-3295	99	52	�	�	PROPN
cana-3295	99	53	,	,	PUNCT
cana-3295	99	54	𝜛𝔽(	𝜛𝔽(	PROPN
cana-3295	99	55	�	�	PROPN
cana-3295	99	56	̂	̂	SYM
cana-3295	99	57	�	�	NOUN
cana-3295	99	58	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	99	59	)	)	PUNCT
cana-3295	99	60	∉	∉	PROPN
cana-3295	99	61	𝔽𝒟(	𝔽𝒟(	PROPN
cana-3295	99	62	�	�	PROPN
cana-3295	99	63	̂	̂	NUM
cana-3295	99	64	�	�	NOUN
cana-3295	99	65	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	99	66	)	)	PUNCT
cana-3295	99	67	.	.	PUNCT
cana-3295	100	1	proof	proof	NOUN
cana-3295	100	2	let	let	VERB
cana-3295	100	3	�	�	PROPN
cana-3295	100	4	̂	̂	VERB
cana-3295	100	5	�	�	NOUN
cana-3295	100	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	100	7	=	=	SYM
cana-3295	100	8	(	(	PUNCT
cana-3295	100	9	�	�	PROPN
cana-3295	100	10	̂	̂	SYM
cana-3295	100	11	�	�	PROPN
cana-3295	100	12	,	,	PUNCT
cana-3295	100	13	𝜛	𝜛	NOUN
cana-3295	100	14	)	)	PUNCT
cana-3295	100	15	be	be	VERB
cana-3295	100	16	pncs	pnc	NOUN
cana-3295	100	17	.	.	PUNCT
cana-3295	101	1	given	give	VERB
cana-3295	101	2	that	that	PRON
cana-3295	101	3	�	�	PROPN
cana-3295	101	4	̂	̂	SYM
cana-3295	101	5	�	�	NOUN
cana-3295	101	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	101	7	=	=	SYM
cana-3295	101	8	(	(	PUNCT
cana-3295	101	9	�	�	PROPN
cana-3295	101	10	̂	̂	SYM
cana-3295	101	11	�	�	PROPN
cana-3295	101	12	,	,	PUNCT
cana-3295	101	13	𝜛	𝜛	X
cana-3295	101	14	)	)	PUNCT
cana-3295	101	15	is	be	AUX
cana-3295	101	16	not	not	PART
cana-3295	101	17	f	f	NOUN
cana-3295	101	18	-	-	PUNCT
cana-3295	101	19	ipncs	ipnc	NOUN
cana-3295	101	20	.	.	PUNCT
cana-3295	102	1	then	then	ADV
cana-3295	102	2	�	�	PROPN
cana-3295	102	3	̂	̂	SYM
cana-3295	102	4	�	�	NOUN
cana-3295	102	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	102	6	does	do	AUX
cana-3295	102	7	not	not	PART
cana-3295	102	8	satisfies	satisfy	VERB
cana-3295	102	9	,	,	PUNCT
cana-3295	102	10	(	(	PUNCT
cana-3295	102	11	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	102	12	−(	−(	PROPN
cana-3295	102	13	�	�	PROPN
cana-3295	102	14	̂	̂	NOUN
cana-3295	102	15	�	�	NOUN
cana-3295	102	16	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	102	17	)	)	PUNCT
cana-3295	102	18	≤	≤	PROPN
cana-3295	102	19	𝜛𝔽(	𝜛𝔽(	ADP
cana-3295	102	20	�	�	PROPN
cana-3295	102	21	̂	̂	NOUN
cana-3295	102	22	�	�	NOUN
cana-3295	102	23	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	102	24	)	)	PUNCT
cana-3295	102	25	≤	≤	NUM
cana-3295	103	1	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	103	2	+	+	PROPN
cana-3295	103	3	(	(	PUNCT
cana-3295	103	4	�	�	NOUN
cana-3295	103	5	̂	̂	SYM
cana-3295	103	6	�	�	NOUN
cana-3295	103	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	103	8	)	)	PUNCT
cana-3295	103	9	)	)	PUNCT
cana-3295	103	10	.	.	PUNCT
cana-3295	104	1	therefore,𝜛𝔽(	therefore,𝜛𝔽(	X
cana-3295	104	2	�	�	PROPN
cana-3295	104	3	̂	̂	SYM
cana-3295	104	4	�	�	NOUN
cana-3295	104	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	104	6	)	)	PUNCT
cana-3295	104	7	∉	∉	PROPN
cana-3295	104	8	𝔽𝒟(	𝔽𝒟(	PROPN
cana-3295	104	9	�	�	PROPN
cana-3295	104	10	̂	̂	NUM
cana-3295	104	11	�	�	NOUN
cana-3295	104	12	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	104	13	)	)	PUNCT
cana-3295	104	14	.	.	PUNCT
cana-3295	105	1	theorem	theorem	VERB
cana-3295	105	2	3.12	3.12	NUM
cana-3295	105	3	let	let	VERB
cana-3295	105	4	�	�	SYM
cana-3295	105	5	̂	̂	VERB
cana-3295	105	6	�	�	NOUN
cana-3295	105	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	105	8	=	=	SYM
cana-3295	105	9	(	(	PUNCT
cana-3295	105	10	�	�	PROPN
cana-3295	105	11	̂	̂	SYM
cana-3295	105	12	�	�	PROPN
cana-3295	105	13	,	,	PUNCT
cana-3295	105	14	𝜛	𝜛	X
cana-3295	105	15	)	)	PUNCT
cana-3295	105	16	be	be	VERB
cana-3295	105	17	pncs	pncs	PROPN
cana-3295	105	18	�	�	PROPN
cana-3295	105	19	̂	̂	PROPN
cana-3295	105	20	�	�	PROPN
cana-3295	105	21	≠	≠	PROPN
cana-3295	105	22	𝜙.	𝜙.	NOUN
cana-3295	105	23	if	if	SCONJ
cana-3295	105	24	�	�	PROPN
cana-3295	105	25	̂	̂	SYM
cana-3295	105	26	�	�	NOUN
cana-3295	105	27	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	105	28	=	=	SYM
cana-3295	105	29	(	(	PUNCT
cana-3295	105	30	�	�	PROPN
cana-3295	105	31	̂	̂	SYM
cana-3295	105	32	�	�	PROPN
cana-3295	105	33	,	,	PUNCT
cana-3295	105	34	𝜛	𝜛	X
cana-3295	105	35	)	)	PUNCT
cana-3295	105	36	is	be	AUX
cana-3295	105	37	both	both	DET
cana-3295	105	38	t	t	NOUN
cana-3295	105	39	-	-	PUNCT
cana-3295	105	40	ipncs	ipncs	NOUN
cana-3295	105	41	and	and	CCONJ
cana-3295	105	42	t	t	PROPN
cana-3295	105	43	-	-	PUNCT
cana-3295	105	44	epncs	epncs	PROPN
cana-3295	105	45	then	then	ADV
cana-3295	105	46	(	(	PUNCT
cana-3295	105	47	∀	∀	X
cana-3295	105	48	�	�	NOUN
cana-3295	105	49	̂	̂	SYM
cana-3295	105	50	�	�	NOUN
cana-3295	105	51	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	105	52	∈	∈	PROPN
cana-3295	105	53	�	�	PROPN
cana-3295	105	54	̂	̂	NOUN
cana-3295	105	55	�	�	PROPN
cana-3295	105	56	)	)	PUNCT
cana-3295	105	57	(	(	PUNCT
cana-3295	105	58	𝜛𝕋(	𝜛𝕋(	X
cana-3295	105	59	�	�	PROPN
cana-3295	105	60	̂	̂	NUM
cana-3295	105	61	�	�	NOUN
cana-3295	105	62	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	105	63	)	)	PUNCT
cana-3295	105	64	∈	∈	PROPN
cana-3295	105	65	{	{	PUNCT
cana-3295	105	66	𝕋𝒟	𝕋𝒟	PROPN
cana-3295	105	67	−(	−(	VERB
cana-3295	105	68	�	�	NOUN
cana-3295	105	69	̂	̂	NOUN
cana-3295	105	70	�	�	NOUN
cana-3295	105	71	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	105	72	�	�	PROPN
cana-3295	105	73	̂	̂	VERB
cana-3295	105	74	�	�	PROPN
cana-3295	105	75	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	105	76	∈	∈	PROPN
cana-3295	105	77	�	�	PROPN
cana-3295	105	78	̂	̂	VERB
cana-3295	105	79	�	�	PROPN
cana-3295	105	80	}	}	PUNCT
cana-3295	105	81	∪	∪	NOUN
cana-3295	105	82	{	{	PUNCT
cana-3295	105	83	𝕋𝒟	𝕋𝒟	VERB
cana-3295	105	84	+	+	PROPN
cana-3295	105	85	(	(	PUNCT
cana-3295	105	86	�	�	NOUN
cana-3295	105	87	̂	̂	NOUN
cana-3295	105	88	�	�	NOUN
cana-3295	105	89	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	105	90	�	�	PROPN
cana-3295	105	91	̂	̂	VERB
cana-3295	105	92	�	�	PROPN
cana-3295	105	93	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	105	94	∈	∈	PROPN
cana-3295	105	95	�	�	PROPN
cana-3295	105	96	̂	̂	VERB
cana-3295	105	97	�	�	NOUN
cana-3295	105	98	}	}	PUNCT
cana-3295	105	99	)	)	PUNCT
cana-3295	105	100	proof	proof	NOUN
cana-3295	105	101	let	let	AUX
cana-3295	105	102	�	�	PROPN
cana-3295	105	103	̂	̂	VERB
cana-3295	105	104	�	�	NOUN
cana-3295	105	105	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	105	106	=	=	SYM
cana-3295	105	107	(	(	PUNCT
cana-3295	105	108	�	�	PROPN
cana-3295	105	109	̂	̂	SYM
cana-3295	105	110	�	�	PROPN
cana-3295	105	111	,	,	PUNCT
cana-3295	105	112	𝜛	𝜛	NOUN
cana-3295	105	113	)	)	PUNCT
cana-3295	105	114	be	be	VERB
cana-3295	105	115	pncs	pnc	NOUN
cana-3295	105	116	.	.	PUNCT
cana-3295	106	1	if	if	SCONJ
cana-3295	106	2	�	�	PROPN
cana-3295	106	3	̂	̂	SYM
cana-3295	106	4	�	�	NOUN
cana-3295	106	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	106	6	=	=	SYM
cana-3295	106	7	(	(	PUNCT
cana-3295	106	8	�	�	PROPN
cana-3295	106	9	̂	̂	SYM
cana-3295	106	10	�	�	PROPN
cana-3295	106	11	,	,	PUNCT
cana-3295	106	12	𝜛	𝜛	PROPN
cana-3295	106	13	)	)	PUNCT
cana-3295	106	14	is	be	AUX
cana-3295	106	15	t	t	NOUN
cana-3295	106	16	-	-	PUNCT
cana-3295	106	17	ipncs	ipncs	NOUN
cana-3295	106	18	then	then	ADV
cana-3295	106	19	∀	∀	NUM
cana-3295	106	20	�	�	NOUN
cana-3295	106	21	̂	̂	SYM
cana-3295	106	22	�	�	NOUN
cana-3295	106	23	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	106	24	∈	∈	PROPN
cana-3295	106	25	�	�	PROPN
cana-3295	106	26	̂	̂	NOUN
cana-3295	106	27	�	�	PROPN
cana-3295	106	28	,	,	PUNCT
cana-3295	106	29	(	(	PUNCT
cana-3295	106	30	𝕋𝒟	𝕋𝒟	VERB
cana-3295	106	31	−(	−(	VERB
cana-3295	106	32	�	�	PROPN
cana-3295	106	33	̂	̂	NOUN
cana-3295	106	34	�	�	NOUN
cana-3295	106	35	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	106	36	)	)	PUNCT
cana-3295	106	37	≤	≤	NUM
cana-3295	106	38	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	106	39	�	�	PROPN
cana-3295	106	40	̂	̂	NOUN
cana-3295	106	41	�	�	NOUN
cana-3295	106	42	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	106	43	)	)	PUNCT
cana-3295	106	44	≤	≤	NUM
cana-3295	106	45	𝕋𝒟	𝕋𝒟	VERB
cana-3295	106	46	+	+	PROPN
cana-3295	106	47	(	(	PUNCT
cana-3295	106	48	�	�	NOUN
cana-3295	106	49	̂	̂	SYM
cana-3295	106	50	�	�	NOUN
cana-3295	106	51	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	106	52	)	)	PUNCT
cana-3295	106	53	)	)	PUNCT
cana-3295	106	54	.	.	PUNCT
cana-3295	107	1	if	if	SCONJ
cana-3295	107	2	�	�	PROPN
cana-3295	107	3	̂	̂	SYM
cana-3295	107	4	�	�	NOUN
cana-3295	107	5	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	107	6	=	=	SYM
cana-3295	107	7	(	(	PUNCT
cana-3295	107	8	�	�	PROPN
cana-3295	107	9	̂	̂	SYM
cana-3295	107	10	�	�	PROPN
cana-3295	107	11	,	,	PUNCT
cana-3295	107	12	𝜛	𝜛	PROPN
cana-3295	107	13	)	)	PUNCT
cana-3295	107	14	is	be	AUX
cana-3295	107	15	t	t	PROPN
cana-3295	107	16	-	-	PUNCT
cana-3295	107	17	epnc	epnc	NOUN
cana-3295	107	18	then	then	ADV
cana-3295	107	19	∀	∀	PUNCT
cana-3295	107	20	�	�	NOUN
cana-3295	107	21	̂	̂	SYM
cana-3295	107	22	�	�	NOUN
cana-3295	107	23	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	107	24	∈	∈	PROPN
cana-3295	107	25	�	�	PROPN
cana-3295	107	26	̂	̂	PROPN
cana-3295	107	27	�	�	PROPN
cana-3295	107	28	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	107	29	�	�	PROPN
cana-3295	107	30	̂	̂	PROPN
cana-3295	107	31	�	�	NOUN
cana-3295	107	32	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	107	33	)	)	PUNCT
cana-3295	107	34	∉	∉	PROPN
cana-3295	107	35	(	(	PUNCT
cana-3295	107	36	𝕋𝒟	𝕋𝒟	VERB
cana-3295	107	37	−(	−(	VERB
cana-3295	107	38	�	�	PROPN
cana-3295	107	39	̂	̂	NOUN
cana-3295	107	40	�	�	NOUN
cana-3295	107	41	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	107	42	)	)	PUNCT
cana-3295	107	43	,	,	PUNCT
cana-3295	107	44	𝕋𝒟	𝕋𝒟	VERB
cana-3295	107	45	+	+	PROPN
cana-3295	107	46	(	(	PUNCT
cana-3295	107	47	�	�	NOUN
cana-3295	107	48	̂	̂	NOUN
cana-3295	107	49	�	�	NOUN
cana-3295	107	50	𝑃𝑁𝐶𝑆))then	𝑃𝑁𝐶𝑆))then	VERB
cana-3295	107	51	it	it	PRON
cana-3295	107	52	indicates	indicate	VERB
cana-3295	107	53	∀	∀	NUM
cana-3295	107	54	�	�	PROPN
cana-3295	107	55	̂	̂	SYM
cana-3295	107	56	�	�	NOUN
cana-3295	107	57	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	107	58	∈	∈	PROPN
cana-3295	107	59	�	�	PROPN
cana-3295	107	60	̂	̂	PROPN
cana-3295	107	61	�	�	PROPN
cana-3295	107	62	,	,	PUNCT
cana-3295	107	63	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	107	64	�	�	PROPN
cana-3295	107	65	̂	̂	NUM
cana-3295	107	66	�	�	NOUN
cana-3295	107	67	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	107	68	)	)	PUNCT
cana-3295	107	69	=	=	SYM
cana-3295	108	1	𝕋𝒟	𝕋𝒟	VERB
cana-3295	108	2	−(	−(	VERB
cana-3295	108	3	�	�	NOUN
cana-3295	108	4	̂	̂	NOUN
cana-3295	108	5	�	�	NOUN
cana-3295	108	6	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	108	7	)	)	PUNCT
cana-3295	108	8	or	or	CCONJ
cana-3295	108	9	𝜛𝕋(	𝜛𝕋(	PROPN
cana-3295	108	10	�	�	PROPN
cana-3295	108	11	̂	̂	PROPN
cana-3295	108	12	�	�	NOUN
cana-3295	108	13	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	108	14	)	)	PUNCT
cana-3295	108	15	=	=	PUNCT
cana-3295	109	1	𝕋𝒟	𝕋𝒟	VERB
cana-3295	109	2	+	+	ADJ
cana-3295	109	3	(	(	PUNCT
cana-3295	109	4	�	�	NOUN
cana-3295	109	5	̂	̂	SYM
cana-3295	109	6	�	�	NOUN
cana-3295	109	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	109	8	)	)	PUNCT
cana-3295	109	9	and	and	CCONJ
cana-3295	109	10	so	so	ADV
cana-3295	109	11	that	that	SCONJ
cana-3295	109	12	(	(	PUNCT
cana-3295	109	13	𝜛𝕋(	𝜛𝕋(	X
cana-3295	109	14	�	�	PROPN
cana-3295	109	15	̂	̂	NOUN
cana-3295	109	16	�	�	NOUN
cana-3295	109	17	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	109	18	)	)	PUNCT
cana-3295	109	19	∈	∈	PROPN
cana-3295	109	20	{	{	PUNCT
cana-3295	109	21	𝕋𝒟	𝕋𝒟	PROPN
cana-3295	109	22	−(	−(	VERB
cana-3295	109	23	�	�	NOUN
cana-3295	109	24	̂	̂	NOUN
cana-3295	109	25	�	�	NOUN
cana-3295	109	26	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	109	27	�	�	PROPN
cana-3295	109	28	̂	̂	VERB
cana-3295	109	29	�	�	PROPN
cana-3295	109	30	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	109	31	∈	∈	PROPN
cana-3295	109	32	�	�	PROPN
cana-3295	109	33	̂	̂	VERB
cana-3295	109	34	�	�	PROPN
cana-3295	109	35	}	}	PUNCT
cana-3295	109	36	∪	∪	NOUN
cana-3295	109	37	{	{	PUNCT
cana-3295	109	38	𝕋𝒟	𝕋𝒟	VERB
cana-3295	109	39	+	+	PROPN
cana-3295	109	40	(	(	PUNCT
cana-3295	109	41	�	�	NOUN
cana-3295	109	42	̂	̂	NOUN
cana-3295	109	43	�	�	NOUN
cana-3295	109	44	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	109	45	�	�	PROPN
cana-3295	109	46	̂	̂	VERB
cana-3295	109	47	�	�	PROPN
cana-3295	109	48	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	109	49	∈	∈	PROPN
cana-3295	109	50	�	�	PROPN
cana-3295	109	51	̂	̂	VERB
cana-3295	109	52	�	�	NOUN
cana-3295	109	53	}	}	PUNCT
cana-3295	109	54	)	)	PUNCT
cana-3295	109	55	theorem	theorem	VERB
cana-3295	109	56	3.13	3.13	NUM
cana-3295	109	57	let	let	VERB
cana-3295	109	58	�	�	PROPN
cana-3295	109	59	̂	̂	VERB
cana-3295	109	60	�	�	NOUN
cana-3295	109	61	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	109	62	=	=	SYM
cana-3295	109	63	(	(	PUNCT
cana-3295	109	64	�	�	PROPN
cana-3295	109	65	̂	̂	SYM
cana-3295	109	66	�	�	PROPN
cana-3295	109	67	,	,	PUNCT
cana-3295	109	68	𝜛	𝜛	X
cana-3295	109	69	)	)	PUNCT
cana-3295	109	70	be	be	VERB
cana-3295	109	71	pncs	pncs	PROPN
cana-3295	109	72	�	�	PROPN
cana-3295	109	73	̂	̂	PROPN
cana-3295	109	74	�	�	PROPN
cana-3295	109	75	≠	≠	PROPN
cana-3295	109	76	𝜙.	𝜙.	NOUN
cana-3295	109	77	if	if	SCONJ
cana-3295	109	78	�	�	PROPN
cana-3295	109	79	̂	̂	SYM
cana-3295	109	80	�	�	NOUN
cana-3295	109	81	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	109	82	=	=	SYM
cana-3295	109	83	(	(	PUNCT
cana-3295	109	84	�	�	PROPN
cana-3295	109	85	̂	̂	SYM
cana-3295	109	86	�	�	PROPN
cana-3295	109	87	,	,	PUNCT
cana-3295	109	88	𝜛	𝜛	X
cana-3295	109	89	)	)	PUNCT
cana-3295	109	90	is	be	AUX
cana-3295	109	91	both	both	PRON
cana-3295	109	92	i	i	NOUN
cana-3295	109	93	-	-	PUNCT
cana-3295	109	94	ipncs	ipnc	NOUN
cana-3295	109	95	and	and	CCONJ
cana-3295	109	96	i	i	PROPN
cana-3295	109	97	-	-	PUNCT
cana-3295	109	98	epncs	epncs	PROPN
cana-3295	109	99	then	then	ADV
cana-3295	109	100	(	(	PUNCT
cana-3295	109	101	∀	∀	X
cana-3295	109	102	�	�	NOUN
cana-3295	109	103	̂	̂	SYM
cana-3295	109	104	�	�	NOUN
cana-3295	109	105	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	109	106	∈	∈	PROPN
cana-3295	109	107	�	�	PROPN
cana-3295	109	108	̂	̂	NOUN
cana-3295	109	109	�	�	PROPN
cana-3295	109	110	)	)	PUNCT
cana-3295	109	111	(	(	PUNCT
cana-3295	109	112	𝜛𝕀(	𝜛𝕀(	PROPN
cana-3295	109	113	�	�	PROPN
cana-3295	109	114	̂	̂	NUM
cana-3295	109	115	�	�	NOUN
cana-3295	109	116	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	109	117	)	)	PUNCT
cana-3295	109	118	∈	∈	PROPN
cana-3295	109	119	{	{	PUNCT
cana-3295	109	120	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	109	121	−(	−(	PROPN
cana-3295	109	122	�	�	PROPN
cana-3295	109	123	̂	̂	NOUN
cana-3295	109	124	�	�	NOUN
cana-3295	109	125	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	109	126	�	�	PROPN
cana-3295	109	127	̂	̂	VERB
cana-3295	109	128	�	�	PROPN
cana-3295	109	129	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	109	130	∈	∈	PROPN
cana-3295	109	131	�	�	PROPN
cana-3295	109	132	̂	̂	VERB
cana-3295	109	133	�	�	PROPN
cana-3295	109	134	}	}	PUNCT
cana-3295	109	135	∪	∪	NOUN
cana-3295	109	136	{	{	PUNCT
cana-3295	109	137	𝕀𝒟	𝕀𝒟	PROPN
cana-3295	109	138	+	+	PROPN
cana-3295	109	139	(	(	PUNCT
cana-3295	109	140	�	�	NOUN
cana-3295	109	141	̂	̂	NOUN
cana-3295	109	142	�	�	NOUN
cana-3295	109	143	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	109	144	�	�	PROPN
cana-3295	109	145	̂	̂	VERB
cana-3295	109	146	�	�	PROPN
cana-3295	109	147	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	109	148	∈	∈	PROPN
cana-3295	109	149	�	�	PROPN
cana-3295	109	150	̂	̂	NOUN
cana-3295	109	151	�	�	NOUN
cana-3295	109	152	}	}	PUNCT
cana-3295	109	153	)	)	PUNCT
cana-3295	109	154	.	.	PUNCT
cana-3295	110	1	communications	communication	NOUN
cana-3295	110	2	on	on	ADP
cana-3295	110	3	applied	apply	VERB
cana-3295	110	4	nonlinear	nonlinear	ADJ
cana-3295	110	5	analysis	analysis	NOUN
cana-3295	110	6	issn	issn	NOUN
cana-3295	110	7	:	:	PUNCT
cana-3295	110	8	1074	1074	NUM
cana-3295	110	9	-	-	PUNCT
cana-3295	110	10	133x	133x	NUM
cana-3295	110	11	vol	vol	NOUN
cana-3295	110	12	32	32	NUM
cana-3295	110	13	no	no	NOUN
cana-3295	110	14	.	.	PUNCT
cana-3295	111	1	6s	6s	NUM
cana-3295	111	2	(	(	PUNCT
cana-3295	111	3	2025	2025	NUM
cana-3295	111	4	)	)	PUNCT
cana-3295	111	5	294	294	NUM
cana-3295	111	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-3295	111	7	proof	proof	NOUN
cana-3295	111	8	:	:	PUNCT
cana-3295	111	9	forthright	forthright	ADJ
cana-3295	111	10	.	.	PUNCT
cana-3295	112	1	theorem	theorem	VERB
cana-3295	112	2	3.14	3.14	NUM
cana-3295	112	3	let	let	VERB
cana-3295	112	4	�	�	SYM
cana-3295	112	5	̂	̂	VERB
cana-3295	112	6	�	�	NOUN
cana-3295	112	7	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	112	8	=	=	SYM
cana-3295	112	9	(	(	PUNCT
cana-3295	112	10	�	�	PROPN
cana-3295	112	11	̂	̂	SYM
cana-3295	112	12	�	�	PROPN
cana-3295	112	13	,	,	PUNCT
cana-3295	112	14	𝜛	𝜛	X
cana-3295	112	15	)	)	PUNCT
cana-3295	112	16	be	be	VERB
cana-3295	112	17	pncs	pncs	PROPN
cana-3295	112	18	�	�	PROPN
cana-3295	112	19	̂	̂	PROPN
cana-3295	112	20	�	�	PROPN
cana-3295	112	21	≠	≠	PROPN
cana-3295	112	22	𝜙.	𝜙.	NOUN
cana-3295	112	23	if	if	SCONJ
cana-3295	112	24	�	�	PROPN
cana-3295	112	25	̂	̂	SYM
cana-3295	112	26	�	�	NOUN
cana-3295	112	27	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	112	28	=	=	SYM
cana-3295	112	29	(	(	PUNCT
cana-3295	112	30	�	�	PROPN
cana-3295	112	31	̂	̂	SYM
cana-3295	112	32	�	�	PROPN
cana-3295	112	33	,	,	PUNCT
cana-3295	112	34	𝜛	𝜛	PROPN
cana-3295	112	35	)	)	PUNCT
cana-3295	112	36	is	be	AUX
cana-3295	112	37	both	both	PRON
cana-3295	112	38	f	f	NOUN
cana-3295	112	39	-	-	PUNCT
cana-3295	112	40	ipncs	ipnc	NOUN
cana-3295	112	41	and	and	CCONJ
cana-3295	112	42	f	f	NOUN
cana-3295	112	43	-	-	PUNCT
cana-3295	112	44	epncs	epncs	PROPN
cana-3295	112	45	then	then	ADV
cana-3295	112	46	(	(	PUNCT
cana-3295	112	47	∀	∀	X
cana-3295	112	48	�	�	NOUN
cana-3295	112	49	̂	̂	SYM
cana-3295	112	50	�	�	NOUN
cana-3295	112	51	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	112	52	∈	∈	PROPN
cana-3295	112	53	�	�	PROPN
cana-3295	112	54	̂	̂	NOUN
cana-3295	112	55	�	�	PROPN
cana-3295	112	56	)	)	PUNCT
cana-3295	112	57	(	(	PUNCT
cana-3295	112	58	𝜛𝔽(	𝜛𝔽(	PROPN
cana-3295	112	59	�	�	PROPN
cana-3295	112	60	̂	̂	SYM
cana-3295	112	61	�	�	NOUN
cana-3295	112	62	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	NOUN
cana-3295	112	63	)	)	PUNCT
cana-3295	112	64	∈	∈	PROPN
cana-3295	112	65	{	{	PUNCT
cana-3295	112	66	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	112	67	−(	−(	PROPN
cana-3295	112	68	�	�	PROPN
cana-3295	112	69	̂	̂	NOUN
cana-3295	112	70	�	�	NOUN
cana-3295	112	71	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	112	72	�	�	PROPN
cana-3295	112	73	̂	̂	VERB
cana-3295	112	74	�	�	PROPN
cana-3295	112	75	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	112	76	∈	∈	PROPN
cana-3295	112	77	�	�	PROPN
cana-3295	112	78	̂	̂	VERB
cana-3295	112	79	�	�	PROPN
cana-3295	112	80	}	}	PUNCT
cana-3295	112	81	∪	∪	NOUN
cana-3295	112	82	{	{	PUNCT
cana-3295	112	83	𝔽𝒟	𝔽𝒟	PROPN
cana-3295	112	84	+	+	PROPN
cana-3295	112	85	(	(	PUNCT
cana-3295	112	86	�	�	NOUN
cana-3295	112	87	̂	̂	NOUN
cana-3295	112	88	�	�	NOUN
cana-3295	112	89	𝑃𝑁𝐶𝑆)|	𝑃𝑁𝐶𝑆)|	PROPN
cana-3295	112	90	�	�	PROPN
cana-3295	112	91	̂	̂	VERB
cana-3295	112	92	�	�	PROPN
cana-3295	112	93	𝑃𝑁𝐶𝑆	𝑃𝑁𝐶𝑆	PROPN
cana-3295	112	94	∈	∈	PROPN
cana-3295	112	95	�	�	PROPN
cana-3295	112	96	̂	̂	NOUN
cana-3295	112	97	�	�	NOUN
cana-3295	112	98	}	}	PUNCT
cana-3295	112	99	)	)	PUNCT
cana-3295	112	100	.	.	PUNCT
cana-3295	113	1	proof	proof	NOUN
cana-3295	113	2	:	:	PUNCT
cana-3295	113	3	forthright	forthright	ADJ
cana-3295	113	4	.	.	PUNCT
cana-3295	114	1	refrences	refrence	VERB
cana-3295	115	1	[	[	X
cana-3295	115	2	1	1	X
cana-3295	115	3	]	]	X
cana-3295	115	4	r.	r.	PROPN
cana-3295	115	5	jhansi	jhansi	PROPN
cana-3295	115	6	,	,	PUNCT
cana-3295	115	7	k.	k.	PROPN
cana-3295	115	8	mohana	mohana	PROPN
cana-3295	115	9	,	,	PUNCT
cana-3295	115	10	florentin	florentin	PROPN
cana-3295	115	11	smarandache	smarandache	NOUN
cana-3295	115	12	,	,	PUNCT
cana-3295	115	13	correlation	correlation	NOUN
cana-3295	115	14	measure	measure	NOUN
cana-3295	115	15	of	of	ADP
cana-3295	115	16	pythagorean	pythagorean	PROPN
cana-3295	115	17	neutrosophic	neutrosophic	ADJ
cana-3295	115	18	sets	set	NOUN
cana-3295	115	19	with	with	ADP
cana-3295	115	20	t	t	PROPN
cana-3295	115	21	and	and	CCONJ
cana-3295	115	22	f	f	PROPN
cana-3295	115	23	as	as	ADP
cana-3295	115	24	dependent	dependent	ADJ
cana-3295	115	25	neutrosophic	neutrosophic	ADJ
cana-3295	115	26	components	component	NOUN
cana-3295	115	27	,	,	PUNCT
cana-3295	115	28	neutrosophic	neutrosophic	ADJ
cana-3295	115	29	sets	set	NOUN
cana-3295	115	30	and	and	CCONJ
cana-3295	115	31	systems	system	NOUN
cana-3295	115	32	,	,	PUNCT
cana-3295	115	33	2021	2021	NUM
cana-3295	115	34	,	,	PUNCT
cana-3295	115	35	vol	vol	NOUN
cana-3295	115	36	30,203	30,203	NUM
cana-3295	115	37	-	-	SYM
cana-3295	115	38	212	212	NUM
cana-3295	115	39	.	.	PUNCT
cana-3295	116	1	[	[	X
cana-3295	116	2	2	2	NUM
cana-3295	116	3	]	]	PUNCT
cana-3295	116	4	jun	jun	PROPN
cana-3295	116	5	y.	y.	PROPN
cana-3295	116	6	b.	b.	PROPN
cana-3295	116	7	,	,	PUNCT
cana-3295	116	8	kim	kim	PROPN
cana-3295	116	9	c.	c.	PROPN
cana-3295	116	10	s.	s.	PROPN
cana-3295	116	11	,	,	PUNCT
cana-3295	116	12	and	and	CCONJ
cana-3295	116	13	yang	yang	PROPN
cana-3295	116	14	k.	k.	PROPN
cana-3295	116	15	o.	o.	PROPN
cana-3295	116	16	,	,	PUNCT
cana-3295	116	17	cubic	cubic	ADJ
cana-3295	116	18	sets	set	NOUN
cana-3295	116	19	,	,	PUNCT
cana-3295	116	20	annals	annal	NOUN
cana-3295	116	21	of	of	ADP
cana-3295	116	22	fuzzy	fuzzy	ADJ
cana-3295	116	23	mathematics	mathematic	NOUN
cana-3295	116	24	and	and	CCONJ
cana-3295	116	25	informatics	informatic	NOUN
cana-3295	116	26	.	.	PUNCT
cana-3295	117	1	(	(	PUNCT
cana-3295	117	2	2012	2012	NUM
cana-3295	117	3	)	)	PUNCT
cana-3295	117	4	4	4	NUM
cana-3295	117	5	,	,	PUNCT
cana-3295	117	6	no	no	INTJ
cana-3295	117	7	.	.	NOUN
cana-3295	117	8	1	1	NUM
cana-3295	117	9	,	,	PUNCT
cana-3295	117	10	83–98	83–98	NUM
cana-3295	117	11	,	,	PUNCT
cana-3295	117	12	mr2915006	mr2915006	NOUN
cana-3295	117	13	.	.	PUNCT
cana-3295	118	1	[	[	X
cana-3295	118	2	3	3	NUM
cana-3295	118	3	]	]	X
cana-3295	118	4	jun	jun	PROPN
cana-3295	118	5	,	,	PUNCT
cana-3295	118	6	young	young	ADJ
cana-3295	118	7	bae	bae	PROPN
cana-3295	118	8	et	et	PROPN
cana-3295	118	9	al	al	PROPN
cana-3295	118	10	.	.	PROPN
cana-3295	118	11	neutrosophic	neutrosophic	ADJ
cana-3295	118	12	cubic	cubic	ADJ
cana-3295	118	13	sets	set	NOUN
cana-3295	118	14	,	,	PUNCT
cana-3295	118	15	new	new	ADJ
cana-3295	118	16	math	math	NOUN
cana-3295	118	17	.	.	PUNCT
cana-3295	119	1	nat	nat	PROPN
cana-3295	119	2	.	.	PUNCT
cana-3295	120	1	comput	comput	NOUN
cana-3295	120	2	.	.	PUNCT
cana-3295	121	1	13	13	NUM
cana-3295	121	2	(	(	PUNCT
cana-3295	121	3	2016	2016	NUM
cana-3295	121	4	):	):	PUNCT
cana-3295	121	5	41	41	NUM
cana-3295	121	6	-	-	SYM
cana-3295	121	7	54	54	NUM
cana-3295	121	8	.	.	PUNCT
cana-3295	122	1	[	[	X
cana-3295	122	2	4	4	NUM
cana-3295	122	3	]	]	X
cana-3295	122	4	f.	f.	PROPN
cana-3295	122	5	khana	khana	PROPN
cana-3295	122	6	,	,	PUNCT
cana-3295	122	7	m.	m.	PROPN
cana-3295	122	8	s.	s.	PROPN
cana-3295	122	9	ali	ali	PROPN
cana-3295	122	10	khana	khana	PROPN
cana-3295	122	11	,	,	PUNCT
cana-3295	122	12	m.	m.	PROPN
cana-3295	122	13	shahzada	shahzada	PROPN
cana-3295	122	14	and	and	CCONJ
cana-3295	122	15	s.	s.	PROPN
cana-3295	122	16	abdullah	abdullah	PROPN
cana-3295	122	17	,	,	PUNCT
cana-3295	122	18	pythagorean	pythagorean	PROPN
cana-3295	122	19	cubic	cubic	ADJ
cana-3295	122	20	fuzzy	fuzzy	ADJ
cana-3295	122	21	aggregation	aggregation	NOUN
cana-3295	122	22	operators	operator	NOUN
cana-3295	122	23	and	and	CCONJ
cana-3295	122	24	their	their	PRON
cana-3295	122	25	application	application	NOUN
cana-3295	122	26	to	to	ADP
cana-3295	122	27	multi	multi	ADJ
cana-3295	122	28	-	-	ADJ
cana-3295	122	29	criteria	criterion	NOUN
cana-3295	122	30	decision	decision	NOUN
cana-3295	122	31	making	make	VERB
cana-3295	122	32	problems	problem	NOUN
cana-3295	122	33	,	,	PUNCT
cana-3295	122	34	journal	journal	NOUN
cana-3295	122	35	of	of	ADP
cana-3295	122	36	intelligent	intelligent	ADJ
cana-3295	122	37	and	and	CCONJ
cana-3295	122	38	fuzzy	fuzzy	ADJ
cana-3295	122	39	systems	system	NOUN
cana-3295	122	40	,	,	PUNCT
cana-3295	122	41	vol.36	vol.36	ADP
cana-3295	122	42	,	,	PUNCT
cana-3295	122	43	pp.595	pp.595	NOUN
cana-3295	122	44	-	-	ADJ
cana-3295	122	45	607	607	NUM
cana-3295	122	46	,	,	PUNCT
cana-3295	122	47	2019	2019	NUM
cana-3295	122	48	.	.	PUNCT
cana-3295	123	1	[	[	X
cana-3295	123	2	5	5	X
cana-3295	123	3	]	]	PUNCT
cana-3295	123	4	f.	f.	PROPN
cana-3295	123	5	smarandache	smarandache	PROPN
cana-3295	123	6	,	,	PUNCT
cana-3295	123	7	nuetrosophy	nuetrosophy	NOUN
cana-3295	123	8	and	and	CCONJ
cana-3295	123	9	neutrosophic	neutrosophic	ADJ
cana-3295	123	10	logic	logic	NOUN
cana-3295	123	11	,	,	PUNCT
cana-3295	123	12	first	first	ADJ
cana-3295	123	13	international	international	ADJ
cana-3295	123	14	conference	conference	NOUN
cana-3295	123	15	on	on	ADP
cana-3295	123	16	neutrosophy	neutrosophy	NOUN
cana-3295	123	17	,	,	PUNCT
cana-3295	123	18	nuetrosophy	nuetrosophy	NOUN
cana-3295	123	19	logic	logic	NOUN
cana-3295	123	20	set	set	NOUN
cana-3295	123	21	,	,	PUNCT
cana-3295	123	22	probability	probability	NOUN
cana-3295	123	23	and	and	CCONJ
cana-3295	123	24	statistics	statistics	PROPN
cana-3295	123	25	university	university	PROPN
cana-3295	123	26	of	of	ADP
cana-3295	123	27	new	new	PROPN
cana-3295	123	28	mexico	mexico	PROPN
cana-3295	123	29	,	,	PUNCT
cana-3295	123	30	gallup	gallup	PROPN
cana-3295	123	31	,	,	PUNCT
cana-3295	123	32	nm	nm	PROPN
cana-3295	123	33	87301	87301	NUM
cana-3295	123	34	,	,	PUNCT
cana-3295	123	35	usa	usa	PROPN
cana-3295	123	36	(	(	PUNCT
cana-3295	123	37	2002	2002	NUM
cana-3295	123	38	)	)	PUNCT
cana-3295	124	1	[	[	X
cana-3295	124	2	6	6	NUM
cana-3295	124	3	]	]	PUNCT
cana-3295	124	4	stephy.s	stephy.s	PROPN
cana-3295	124	5	.	.	PUNCT
cana-3295	124	6	,	,	PUNCT
cana-3295	124	7	helen	helen	PROPN
cana-3295	124	8	m	m	PROPN
cana-3295	124	9	,	,	PUNCT
cana-3295	124	10	2021	2021	NUM
cana-3295	124	11	,	,	PUNCT
cana-3295	124	12	interval	interval	NOUN
cana-3295	124	13	-	-	PUNCT
cana-3295	124	14	valued	value	VERB
cana-3295	124	15	neutrosophic	neutrosophic	ADJ
cana-3295	124	16	pythagorean	pythagorean	PROPN
cana-3295	124	17	sets	set	NOUN
cana-3295	124	18	and	and	CCONJ
cana-3295	124	19	their	their	PRON
cana-3295	124	20	application	application	NOUN
cana-3295	124	21	in	in	ADP
cana-3295	124	22	decision	decision	NOUN
cana-3295	124	23	making	make	VERB
cana-3295	124	24	using	use	VERB
cana-3295	124	25	ivnp	ivnp	ADJ
cana-3295	124	26	topsis	topsis	NOUN
cana-3295	124	27	,	,	PUNCT
cana-3295	124	28	10(12	10(12	NUM
cana-3295	124	29	)	)	PUNCT
cana-3295	124	30	,	,	PUNCT
cana-3295	124	31	1111	1111	NUM
cana-3295	124	32	-	-	SYM
cana-3295	124	33	1118	1118	NUM
cana-3295	124	34	.	.	PUNCT
cana-3295	125	1	[	[	X
cana-3295	125	2	7	7	X
cana-3295	125	3	]	]	X
cana-3295	125	4	r.	r.	PROPN
cana-3295	125	5	r.	r.	PROPN
cana-3295	125	6	yager	yager	PROPN
cana-3295	125	7	,	,	PUNCT
cana-3295	125	8	pythagorean	pythagorean	PROPN
cana-3295	125	9	membership	membership	NOUN
cana-3295	125	10	grades	grade	NOUN
cana-3295	125	11	in	in	ADP
cana-3295	125	12	multi	multi	ADJ
cana-3295	125	13	criteria	criterion	NOUN
cana-3295	125	14	decision	decision	NOUN
cana-3295	125	15	making	making	NOUN
cana-3295	125	16	,	,	PUNCT
cana-3295	125	17	ieee	ieee	NOUN
cana-3295	125	18	transactions	transaction	NOUN
cana-3295	125	19	on	on	ADP
cana-3295	125	20	fuzzy	fuzzy	ADJ
cana-3295	125	21	systems	system	NOUN
cana-3295	125	22	,	,	PUNCT
cana-3295	125	23	vol.22	vol.22	NOUN
cana-3295	125	24	,	,	PUNCT
cana-3295	125	25	pp.958	pp.958	NOUN
cana-3295	125	26	-	-	PUNCT
cana-3295	125	27	965	965	NUM
cana-3295	125	28	,	,	PUNCT
cana-3295	125	29	2014	2014	NUM
cana-3295	125	30	.	.	PUNCT
cana-3295	126	1	[	[	X
cana-3295	126	2	8	8	NUM
cana-3295	126	3	]	]	X
cana-3295	126	4	zadeh	zadeh	PROPN
cana-3295	126	5	l.	l.	PROPN
cana-3295	126	6	a.	a.	PROPN
cana-3295	126	7	,	,	PUNCT
cana-3295	126	8	fuzzy	fuzzy	ADJ
cana-3295	126	9	sets	set	NOUN
cana-3295	126	10	,	,	PUNCT
cana-3295	126	11	information	information	NOUN
cana-3295	126	12	and	and	CCONJ
cana-3295	126	13	computation	computation	NOUN
cana-3295	126	14	.	.	PUNCT
cana-3295	127	1	(	(	PUNCT
cana-3295	127	2	1965	1965	NUM
cana-3295	127	3	)	)	PUNCT
cana-3295	127	4	8	8	NUM
cana-3295	127	5	,	,	PUNCT
cana-3295	127	6	338–353	338–353	NUM
cana-3295	127	7	,	,	PUNCT
cana-3295	127	8	mr0219427	mr0219427	NOUN
cana-3295	127	9	,	,	PUNCT
cana-3295	127	10	zbl0139.24606	zbl0139.24606	PROPN
cana-3295	127	11	.	.	PUNCT
cana-3295	128	1	[	[	X
cana-3295	128	2	9	9	NUM
cana-3295	128	3	]	]	SYM
cana-3295	128	4	zadeh	zadeh	PROPN
cana-3295	128	5	l.	l.	PROPN
cana-3295	128	6	a.	a.	PROPN
cana-3295	128	7	,	,	PUNCT
cana-3295	128	8	the	the	DET
cana-3295	128	9	concept	concept	NOUN
cana-3295	128	10	of	of	ADP
cana-3295	128	11	a	a	DET
cana-3295	128	12	linguistic	linguistic	ADJ
cana-3295	128	13	variable	variable	NOUN
cana-3295	128	14	and	and	CCONJ
cana-3295	128	15	its	its	PRON
cana-3295	128	16	application	application	NOUN
cana-3295	128	17	to	to	PART
cana-3295	128	18	approximate	approximate	ADJ
cana-3295	128	19	reasoning	reason	VERB
cana-3295	128	20	i	i	PRON
cana-3295	128	21	,	,	PUNCT
cana-3295	128	22	information	information	NOUN
cana-3295	128	23	sciences	science	NOUN
cana-3295	128	24	.	.	PUNCT
cana-3295	129	1	(	(	PUNCT
cana-3295	129	2	1975	1975	NUM
cana-3295	129	3	)	)	PUNCT
cana-3295	129	4	8	8	NUM
cana-3295	129	5	,	,	PUNCT
cana-3295	129	6	199–249	199–249	NUM
cana-3295	129	7	,	,	PUNCT
cana-3295	129	8	mr0386369	mr0386369	PROPN
cana-3295	129	9	.	.	PUNCT