id	sid	tid	token	lemma	pos
cana-1625	1	1	communications	communication	NOUN
cana-1625	1	2	on	on	ADP
cana-1625	1	3	applied	apply	VERB
cana-1625	1	4	nonlinear	nonlinear	ADJ
cana-1625	1	5	analysis	analysis	NOUN
cana-1625	1	6	issn	issn	NOUN
cana-1625	1	7	:	:	PUNCT
cana-1625	1	8	1074	1074	NUM
cana-1625	1	9	-	-	PUNCT
cana-1625	1	10	133x	133x	NUM
cana-1625	1	11	vol	vol	NOUN
cana-1625	1	12	32	32	NUM
cana-1625	1	13	no	no	NOUN
cana-1625	1	14	.	.	NOUN
cana-1625	1	15	1	1	NUM
cana-1625	1	16	(	(	PUNCT
cana-1625	1	17	2025	2025	NUM
cana-1625	1	18	)	)	PUNCT
cana-1625	1	19	113	113	NUM
cana-1625	1	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	1	21	some	some	DET
cana-1625	1	22	common	common	ADJ
cana-1625	1	23	fixed	fix	VERB
cana-1625	1	24	point	point	NOUN
cana-1625	1	25	theorems	theorem	NOUN
cana-1625	1	26	in	in	ADP
cana-1625	1	27	neutrosophic	neutrosophic	ADJ
cana-1625	1	28	metric	metric	ADJ
cana-1625	1	29	spaces	space	NOUN
cana-1625	1	30	pandiselvi	pandiselvi	ADJ
cana-1625	1	31	.	.	PUNCT
cana-1625	2	1	m1	m1	NOUN
cana-1625	2	2	,	,	PUNCT
cana-1625	2	3	jeyaraman	jeyaraman	NOUN
cana-1625	2	4	.	.	PUNCT
cana-1625	3	1	m2	m2	PROPN
cana-1625	3	2	1research	1research	PROPN
cana-1625	3	3	scholar	scholar	NOUN
cana-1625	3	4	,	,	PUNCT
cana-1625	3	5	pg	pg	NOUN
cana-1625	3	6	and	and	CCONJ
cana-1625	3	7	research	research	PROPN
cana-1625	3	8	department	department	PROPN
cana-1625	3	9	of	of	ADP
cana-1625	3	10	mathematics	mathematics	PROPN
cana-1625	3	11	,	,	PUNCT
cana-1625	3	12	raja	raja	PROPN
cana-1625	3	13	doraisingam	doraisingam	PROPN
cana-1625	3	14	govt	govt	PROPN
cana-1625	3	15	.	.	PUNCT
cana-1625	4	1	arts	arts	PROPN
cana-1625	4	2	college	college	PROPN
cana-1625	4	3	,	,	PUNCT
cana-1625	4	4	sivagangai	sivagangai	PROPN
cana-1625	4	5	,	,	PUNCT
cana-1625	4	6	affiliated	affiliate	VERB
cana-1625	4	7	to	to	PART
cana-1625	4	8	alagappa	alagappa	VERB
cana-1625	4	9	university	university	PROPN
cana-1625	4	10	,	,	PUNCT
cana-1625	4	11	karaikudi	karaikudi	PROPN
cana-1625	4	12	,	,	PUNCT
cana-1625	4	13	tamil	tamil	PROPN
cana-1625	4	14	nadu	nadu	PROPN
cana-1625	4	15	,	,	PUNCT
cana-1625	4	16	india	india	PROPN
cana-1625	4	17	;	;	PUNCT
cana-1625	4	18	e	e	X
cana-1625	4	19	-	-	NOUN
cana-1625	4	20	mail	mail	NOUN
cana-1625	4	21	mpandiselvi2612@gmail.com	mpandiselvi2612@gmail.com	NOUN
cana-1625	4	22	,	,	PUNCT
cana-1625	4	23	orcid	orcid	PROPN
cana-1625	4	24	:	:	PUNCT
cana-1625	4	25	orcid.org/0000-0003-0210-8843	orcid.org/0000-0003-0210-8843	NOUN
cana-1625	4	26	.	.	PUNCT
cana-1625	5	1	2associate	2associate	NUM
cana-1625	5	2	professor	professor	NOUN
cana-1625	5	3	,	,	PUNCT
cana-1625	5	4	pg	pg	NOUN
cana-1625	5	5	and	and	CCONJ
cana-1625	5	6	research	research	PROPN
cana-1625	5	7	department	department	PROPN
cana-1625	5	8	of	of	ADP
cana-1625	5	9	mathematics	mathematics	PROPN
cana-1625	5	10	,	,	PUNCT
cana-1625	5	11	raja	raja	PROPN
cana-1625	5	12	doraisingam	doraisingam	PROPN
cana-1625	5	13	govt	govt	PROPN
cana-1625	5	14	.	.	PUNCT
cana-1625	6	1	arts	arts	PROPN
cana-1625	6	2	college	college	PROPN
cana-1625	6	3	,	,	PUNCT
cana-1625	6	4	sivagangai	sivagangai	PROPN
cana-1625	6	5	,	,	PUNCT
cana-1625	6	6	affiliated	affiliate	VERB
cana-1625	6	7	to	to	PART
cana-1625	6	8	alagappa	alagappa	VERB
cana-1625	6	9	university	university	PROPN
cana-1625	6	10	,	,	PUNCT
cana-1625	6	11	karaikudi	karaikudi	PROPN
cana-1625	6	12	,	,	PUNCT
cana-1625	6	13	tamil	tamil	PROPN
cana-1625	6	14	nadu	nadu	PROPN
cana-1625	6	15	,	,	PUNCT
cana-1625	6	16	india	india	PROPN
cana-1625	6	17	;	;	PUNCT
cana-1625	6	18	e	e	X
cana-1625	6	19	-	-	NOUN
cana-1625	6	20	mail	mail	NOUN
cana-1625	6	21	jeya.math@gmail.com	jeya.math@gmail.com	NOUN
cana-1625	6	22	,	,	PUNCT
cana-1625	6	23	orcid	orcid	PROPN
cana-1625	6	24	:	:	PUNCT
cana-1625	6	25	orcid.org/0000-0002-0364-1845	orcid.org/0000-0002-0364-1845	ADJ
cana-1625	6	26	.	.	PUNCT
cana-1625	7	1	article	article	NOUN
cana-1625	7	2	history	history	NOUN
cana-1625	7	3	:	:	PUNCT
cana-1625	7	4	received	receive	VERB
cana-1625	7	5	:	:	PUNCT
cana-1625	7	6	09	09	NUM
cana-1625	7	7	-	-	PUNCT
cana-1625	7	8	07	07	NUM
cana-1625	7	9	-	-	PUNCT
cana-1625	7	10	2024	2024	NUM
cana-1625	7	11	revised	revise	VERB
cana-1625	7	12	:	:	PUNCT
cana-1625	7	13	23	23	NUM
cana-1625	7	14	-	-	SYM
cana-1625	7	15	08	08	NUM
cana-1625	7	16	-	-	PUNCT
cana-1625	7	17	2024	2024	NUM
cana-1625	7	18	accepted	accept	VERB
cana-1625	7	19	:	:	PUNCT
cana-1625	7	20	05	05	NUM
cana-1625	7	21	-	-	PUNCT
cana-1625	7	22	09	09	NUM
cana-1625	7	23	-	-	PUNCT
cana-1625	7	24	2024	2024	NUM
cana-1625	7	25	abstract	abstract	NOUN
cana-1625	7	26	:	:	PUNCT
cana-1625	7	27	in	in	ADP
cana-1625	7	28	this	this	DET
cana-1625	7	29	article	article	NOUN
cana-1625	7	30	,	,	PUNCT
cana-1625	7	31	we	we	PRON
cana-1625	7	32	construct	construct	VERB
cana-1625	7	33	some	some	DET
cana-1625	7	34	fixed	fix	VERB
cana-1625	7	35	point	point	NOUN
cana-1625	7	36	results	result	NOUN
cana-1625	7	37	for	for	ADP
cana-1625	7	38	pair	pair	NOUN
cana-1625	7	39	of	of	ADP
cana-1625	7	40	self	self	NOUN
cana-1625	7	41	mappings	mapping	NOUN
cana-1625	7	42	and	and	CCONJ
cana-1625	7	43	occasionally	occasionally	ADV
cana-1625	7	44	weakly	weakly	ADJ
cana-1625	7	45	compatible	compatible	ADJ
cana-1625	7	46	mappings	mapping	NOUN
cana-1625	7	47	on	on	ADP
cana-1625	7	48	neutrosophic	neutrosophic	ADJ
cana-1625	7	49	metric	metric	ADJ
cana-1625	7	50	spaces	space	NOUN
cana-1625	7	51	.	.	PUNCT
cana-1625	8	1	in	in	ADP
cana-1625	8	2	order	order	NOUN
cana-1625	8	3	to	to	PART
cana-1625	8	4	show	show	VERB
cana-1625	8	5	the	the	DET
cana-1625	8	6	strength	strength	NOUN
cana-1625	8	7	of	of	ADP
cana-1625	8	8	these	these	DET
cana-1625	8	9	results	result	NOUN
cana-1625	8	10	,	,	PUNCT
cana-1625	8	11	some	some	DET
cana-1625	8	12	motivating	motivating	NOUN
cana-1625	8	13	examples	example	NOUN
cana-1625	8	14	are	be	AUX
cana-1625	8	15	established	establish	VERB
cana-1625	8	16	as	as	ADV
cana-1625	8	17	well	well	ADV
cana-1625	8	18	.	.	PUNCT
cana-1625	9	1	keywords	keyword	NOUN
cana-1625	9	2	:	:	PUNCT
cana-1625	9	3	fuzzy	fuzzy	ADJ
cana-1625	9	4	metric	metric	ADJ
cana-1625	9	5	,	,	PUNCT
cana-1625	9	6	neutrosophic	neutrosophic	ADJ
cana-1625	9	7	metric	metric	ADJ
cana-1625	9	8	space	space	NOUN
cana-1625	9	9	,	,	PUNCT
cana-1625	9	10	occasionally	occasionally	ADV
cana-1625	9	11	weakly	weakly	ADV
cana-1625	9	12	compatible	compatible	ADJ
cana-1625	9	13	,	,	PUNCT
cana-1625	9	14	self	self	NOUN
cana-1625	9	15	mapping	mapping	NOUN
cana-1625	9	16	.	.	PUNCT
cana-1625	10	1	1	1	X
cana-1625	10	2	.	.	X
cana-1625	10	3	introduction	introduction	NOUN
cana-1625	10	4	the	the	DET
cana-1625	10	5	concept	concept	NOUN
cana-1625	10	6	of	of	ADP
cana-1625	10	7	metric	metric	ADJ
cana-1625	10	8	spaces	space	NOUN
cana-1625	10	9	and	and	CCONJ
cana-1625	10	10	the	the	DET
cana-1625	10	11	banach	banach	NOUN
cana-1625	10	12	contraction	contraction	NOUN
cana-1625	10	13	principle	principle	NOUN
cana-1625	10	14	are	be	AUX
cana-1625	10	15	the	the	DET
cana-1625	10	16	backbone	backbone	NOUN
cana-1625	10	17	of	of	ADP
cana-1625	10	18	the	the	DET
cana-1625	10	19	field	field	NOUN
cana-1625	10	20	of	of	ADP
cana-1625	10	21	fixed	fix	VERB
cana-1625	10	22	-	-	PUNCT
cana-1625	10	23	point	point	NOUN
cana-1625	10	24	theory	theory	NOUN
cana-1625	10	25	.	.	PUNCT
cana-1625	11	1	axiomatic	axiomatic	ADJ
cana-1625	11	2	interpretation	interpretation	NOUN
cana-1625	11	3	of	of	ADP
cana-1625	11	4	metric	metric	ADJ
cana-1625	11	5	space	space	NOUN
cana-1625	11	6	attracts	attract	VERB
cana-1625	11	7	thousands	thousand	NOUN
cana-1625	11	8	of	of	ADP
cana-1625	11	9	researchers	researcher	NOUN
cana-1625	11	10	towards	towards	ADP
cana-1625	11	11	spaciousness	spaciousness	NOUN
cana-1625	11	12	.	.	PUNCT
cana-1625	12	1	so	so	ADV
cana-1625	12	2	far	far	ADV
cana-1625	12	3	,	,	PUNCT
cana-1625	12	4	there	there	PRON
cana-1625	12	5	have	have	AUX
cana-1625	12	6	been	be	AUX
cana-1625	12	7	many	many	ADJ
cana-1625	12	8	generalizations	generalization	NOUN
cana-1625	12	9	on	on	ADP
cana-1625	12	10	metric	metric	ADJ
cana-1625	12	11	spaces	space	NOUN
cana-1625	12	12	.	.	PUNCT
cana-1625	13	1	this	this	PRON
cana-1625	13	2	tells	tell	VERB
cana-1625	13	3	us	we	PRON
cana-1625	13	4	of	of	ADP
cana-1625	13	5	the	the	DET
cana-1625	13	6	beauty	beauty	NOUN
cana-1625	13	7	,	,	PUNCT
cana-1625	13	8	attraction	attraction	NOUN
cana-1625	13	9	and	and	CCONJ
cana-1625	13	10	expansion	expansion	NOUN
cana-1625	13	11	of	of	ADP
cana-1625	13	12	the	the	DET
cana-1625	13	13	concept	concept	NOUN
cana-1625	13	14	of	of	ADP
cana-1625	13	15	metric	metric	ADJ
cana-1625	13	16	spaces	space	NOUN
cana-1625	13	17	.	.	PUNCT
cana-1625	14	1	zadeh	zadeh	NOUN
cana-1625	15	1	[	[	X
cana-1625	15	2	12	12	NUM
cana-1625	15	3	]	]	PUNCT
cana-1625	15	4	established	establish	VERB
cana-1625	15	5	the	the	DET
cana-1625	15	6	basis	basis	NOUN
cana-1625	15	7	for	for	ADP
cana-1625	15	8	fuzzy	fuzzy	ADJ
cana-1625	15	9	mathematics	mathematic	NOUN
cana-1625	15	10	in	in	ADP
cana-1625	15	11	1965	1965	NUM
cana-1625	15	12	.	.	PUNCT
cana-1625	16	1	fixed	fix	VERB
cana-1625	16	2	point	point	NOUN
cana-1625	16	3	theory	theory	NOUN
cana-1625	16	4	is	be	AUX
cana-1625	16	5	considered	consider	VERB
cana-1625	16	6	to	to	PART
cana-1625	16	7	be	be	AUX
cana-1625	16	8	the	the	DET
cana-1625	16	9	fascination	fascination	NOUN
cana-1625	16	10	and	and	CCONJ
cana-1625	16	11	active	active	ADJ
cana-1625	16	12	area	area	NOUN
cana-1625	16	13	of	of	ADP
cana-1625	16	14	research	research	NOUN
cana-1625	16	15	and	and	CCONJ
cana-1625	16	16	development	development	NOUN
cana-1625	16	17	of	of	ADP
cana-1625	16	18	nonlinear	nonlinear	ADJ
cana-1625	16	19	analysis	analysis	NOUN
cana-1625	16	20	.	.	PUNCT
cana-1625	17	1	kramosil	kramosil	NOUN
cana-1625	17	2	and	and	CCONJ
cana-1625	17	3	michalek	michalek	VERB
cana-1625	17	4	[	[	X
cana-1625	17	5	6	6	NUM
cana-1625	17	6	]	]	PUNCT
cana-1625	17	7	introduced	introduce	VERB
cana-1625	17	8	fuzzy	fuzzy	ADJ
cana-1625	17	9	metric	metric	ADJ
cana-1625	17	10	spaces	space	NOUN
cana-1625	17	11	in	in	ADP
cana-1625	17	12	a	a	DET
cana-1625	17	13	variety	variety	NOUN
cana-1625	17	14	of	of	ADP
cana-1625	17	15	ways	way	NOUN
cana-1625	17	16	in	in	ADP
cana-1625	17	17	1975	1975	NUM
cana-1625	17	18	.	.	PUNCT
cana-1625	18	1	with	with	ADP
cana-1625	18	2	the	the	DET
cana-1625	18	3	help	help	NOUN
cana-1625	18	4	of	of	ADP
cana-1625	18	5	continuous	continuous	ADJ
cana-1625	18	6	t	t	NOUN
cana-1625	18	7	-	-	PUNCT
cana-1625	18	8	norm	norm	NOUN
cana-1625	18	9	.	.	PUNCT
cana-1625	19	1	george	george	PROPN
cana-1625	19	2	and	and	CCONJ
cana-1625	19	3	veeramani	veeramani	NOUN
cana-1625	20	1	[	[	X
cana-1625	20	2	3	3	NUM
cana-1625	20	3	]	]	X
cana-1625	20	4	present	present	VERB
cana-1625	20	5	the	the	DET
cana-1625	20	6	concept	concept	NOUN
cana-1625	20	7	of	of	ADP
cana-1625	20	8	fuzzy	fuzzy	ADJ
cana-1625	20	9	metric	metric	ADJ
cana-1625	20	10	spaces	space	NOUN
cana-1625	20	11	in	in	ADP
cana-1625	20	12	1994	1994	NUM
cana-1625	20	13	.	.	PUNCT
cana-1625	21	1	atanassov[1	atanassov[1	PROPN
cana-1625	21	2	]	]	PUNCT
cana-1625	21	3	stirred	stir	VERB
cana-1625	21	4	things	thing	NOUN
cana-1625	21	5	up	up	ADP
cana-1625	21	6	by	by	ADP
cana-1625	21	7	adding	add	VERB
cana-1625	21	8	the	the	DET
cana-1625	21	9	idea	idea	NOUN
cana-1625	21	10	of	of	ADP
cana-1625	21	11	nonmembership	nonmembership	NOUN
cana-1625	21	12	grade	grade	NOUN
cana-1625	21	13	of	of	ADP
cana-1625	21	14	fuzzy	fuzzy	ADJ
cana-1625	21	15	set	set	NOUN
cana-1625	21	16	theory	theory	NOUN
cana-1625	21	17	.	.	PUNCT
cana-1625	22	1	smarandache	smarandache	NOUN
cana-1625	23	1	[	[	X
cana-1625	23	2	9	9	NUM
cana-1625	23	3	]	]	PUNCT
cana-1625	23	4	described	describe	VERB
cana-1625	23	5	the	the	DET
cana-1625	23	6	concept	concept	NOUN
cana-1625	23	7	of	of	ADP
cana-1625	23	8	neutrosophic	neutrosophic	ADJ
cana-1625	23	9	logic	logic	NOUN
cana-1625	23	10	and	and	CCONJ
cana-1625	23	11	neutrosophic	neutrosophic	ADJ
cana-1625	23	12	sets	set	NOUN
cana-1625	23	13	in	in	ADP
cana-1625	23	14	1998	1998	NUM
cana-1625	23	15	.	.	PUNCT
cana-1625	24	1	in	in	ADP
cana-1625	24	2	this	this	DET
cana-1625	24	3	study	study	NOUN
cana-1625	24	4	provides	provide	VERB
cana-1625	24	5	a	a	DET
cana-1625	24	6	common	common	ADJ
cana-1625	24	7	fixed	fix	VERB
cana-1625	24	8	point	point	NOUN
cana-1625	24	9	theorem	theorem	NOUN
cana-1625	24	10	for	for	ADP
cana-1625	24	11	pair	pair	NOUN
cana-1625	24	12	of	of	ADP
cana-1625	24	13	self	self	NOUN
cana-1625	24	14	mappings	mapping	NOUN
cana-1625	24	15	and	and	CCONJ
cana-1625	24	16	occasionally	occasionally	ADV
cana-1625	24	17	weakly	weakly	ADJ
cana-1625	24	18	compatible	compatible	ADJ
cana-1625	24	19	mapping	mapping	NOUN
cana-1625	24	20	fulfilling	fulfil	VERB
cana-1625	24	21	various	various	ADJ
cana-1625	24	22	constraints	constraint	NOUN
cana-1625	24	23	in	in	ADP
cana-1625	24	24	the	the	DET
cana-1625	24	25	neutrosophic	neutrosophic	ADJ
cana-1625	24	26	metric	metric	ADJ
cana-1625	24	27	space	space	NOUN
cana-1625	24	28	2	2	NUM
cana-1625	24	29	.	.	PUNCT
cana-1625	24	30	preliminaries	preliminary	NOUN
cana-1625	24	31	now	now	ADV
cana-1625	24	32	,	,	PUNCT
cana-1625	24	33	we	we	PRON
cana-1625	24	34	begin	begin	VERB
cana-1625	24	35	with	with	ADP
cana-1625	24	36	some	some	DET
cana-1625	24	37	basic	basic	ADJ
cana-1625	24	38	fundamental	fundamental	ADJ
cana-1625	24	39	aspects	aspect	NOUN
cana-1625	24	40	,	,	PUNCT
cana-1625	24	41	notations	notation	NOUN
cana-1625	24	42	and	and	CCONJ
cana-1625	24	43	definitions	definition	NOUN
cana-1625	24	44	.	.	PUNCT
cana-1625	25	1	definition	definition	NOUN
cana-1625	25	2	2.1.[6	2.1.[6	NUM
cana-1625	25	3	]	]	PUNCT
cana-1625	25	4	a	a	DET
cana-1625	25	5	binary	binary	ADJ
cana-1625	25	6	operation	operation	NOUN
cana-1625	25	7	∗∶	∗∶	PROPN
cana-1625	25	8	[	[	X
cana-1625	25	9	0,1	0,1	NUM
cana-1625	25	10	]	]	X
cana-1625	25	11	×	×	NOUN
cana-1625	26	1	[	[	X
cana-1625	26	2	0,1	0,1	NUM
cana-1625	26	3	]	]	PUNCT
cana-1625	26	4	→	→	PUNCT
cana-1625	26	5	[	[	X
cana-1625	26	6	0,1	0,1	NUM
cana-1625	26	7	]	]	PUNCT
cana-1625	26	8	,	,	PUNCT
cana-1625	26	9	is	be	AUX
cana-1625	26	10	named	name	VERB
cana-1625	26	11	continuous	continuous	ADJ
cana-1625	26	12	t	t	NOUN
cana-1625	26	13	-	-	PUNCT
cana-1625	26	14	norm	norm	NOUN
cana-1625	26	15	if	if	SCONJ
cana-1625	26	16	it	it	PRON
cana-1625	26	17	meets	meet	VERB
cana-1625	26	18	the	the	DET
cana-1625	26	19	following	following	NOUN
cana-1625	26	20	:	:	PUNCT
cana-1625	26	21	(	(	PUNCT
cana-1625	26	22	i	i	NOUN
cana-1625	26	23	)	)	PUNCT
cana-1625	26	24	∗	∗	NOUN
cana-1625	26	25	is	be	AUX
cana-1625	26	26	associative	associative	ADJ
cana-1625	26	27	and	and	CCONJ
cana-1625	26	28	commutative	commutative	ADJ
cana-1625	26	29	,	,	PUNCT
cana-1625	26	30	(	(	PUNCT
cana-1625	26	31	ii	ii	NOUN
cana-1625	26	32	)	)	PUNCT
cana-1625	26	33	∗	∗	NOUN
cana-1625	26	34	is	be	AUX
cana-1625	26	35	continuous	continuous	ADJ
cana-1625	26	36	,	,	PUNCT
cana-1625	26	37	(	(	PUNCT
cana-1625	26	38	iii	iii	X
cana-1625	26	39	)	)	PUNCT
cana-1625	26	40	𝔨	𝔨	PROPN
cana-1625	26	41	∗	∗	NOUN
cana-1625	26	42	1	1	NUM
cana-1625	26	43	=	=	SYM
cana-1625	26	44	𝔨	𝔨	PROPN
cana-1625	26	45	for	for	ADP
cana-1625	26	46	all	all	DET
cana-1625	26	47	𝔨	𝔨	PROPN
cana-1625	26	48	∈	∈	PROPN
cana-1625	27	1	[	[	X
cana-1625	27	2	0,1	0,1	NUM
cana-1625	27	3	]	]	PUNCT
cana-1625	27	4	,	,	PUNCT
cana-1625	27	5	(	(	PUNCT
cana-1625	27	6	iv	iv	X
cana-1625	27	7	)	)	PUNCT
cana-1625	27	8	𝔨	𝔨	PROPN
cana-1625	27	9	∗	∗	NOUN
cana-1625	27	10	𝜍̃	𝜍̃	PROPN
cana-1625	27	11	≤	≤	NOUN
cana-1625	27	12	𝔷	𝔷	NOUN
cana-1625	27	13	∗	∗	NOUN
cana-1625	27	14	𝔡	𝔡	NOUN
cana-1625	27	15	whenever	whenever	SCONJ
cana-1625	27	16	𝔨	𝔨	PROPN
cana-1625	27	17	≤	≤	X
cana-1625	27	18	𝔷	𝔷	ADP
cana-1625	27	19	and	and	CCONJ
cana-1625	27	20	𝜍̃	𝜍̃	PROPN
cana-1625	27	21	≤	≤	ADJ
cana-1625	27	22	𝔡.	𝔡.	NOUN
cana-1625	27	23	communications	communication	NOUN
cana-1625	27	24	on	on	ADP
cana-1625	27	25	applied	apply	VERB
cana-1625	27	26	nonlinear	nonlinear	ADJ
cana-1625	27	27	analysis	analysis	NOUN
cana-1625	27	28	issn	issn	NOUN
cana-1625	27	29	:	:	PUNCT
cana-1625	27	30	1074	1074	NUM
cana-1625	27	31	-	-	PUNCT
cana-1625	27	32	133x	133x	NUM
cana-1625	27	33	vol	vol	NOUN
cana-1625	27	34	32	32	NUM
cana-1625	27	35	no	no	NOUN
cana-1625	27	36	.	.	NOUN
cana-1625	27	37	1	1	NUM
cana-1625	27	38	(	(	PUNCT
cana-1625	27	39	2025	2025	NUM
cana-1625	27	40	)	)	PUNCT
cana-1625	27	41	114	114	NUM
cana-1625	27	42	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	27	43	definition	definition	NOUN
cana-1625	27	44	2.2	2.2	NUM
cana-1625	27	45	.	.	PUNCT
cana-1625	28	1	[	[	X
cana-1625	28	2	6	6	NUM
cana-1625	28	3	]	]	PUNCT
cana-1625	28	4	a	a	DET
cana-1625	28	5	binary	binary	ADJ
cana-1625	28	6	operation	operation	NOUN
cana-1625	28	7	⨀	⨀	PROPN
cana-1625	28	8	∶	∶	NOUN
cana-1625	28	9	[	[	X
cana-1625	28	10	0,1	0,1	NUM
cana-1625	28	11	]	]	X
cana-1625	28	12	×	×	NOUN
cana-1625	29	1	[	[	X
cana-1625	29	2	0,1	0,1	NUM
cana-1625	29	3	]	]	PUNCT
cana-1625	29	4	→	→	PUNCT
cana-1625	29	5	[	[	X
cana-1625	29	6	0,1	0,1	NUM
cana-1625	29	7	]	]	PUNCT
cana-1625	29	8	,	,	PUNCT
cana-1625	29	9	is	be	AUX
cana-1625	29	10	named	name	VERB
cana-1625	29	11	continuous	continuous	ADJ
cana-1625	29	12	t	t	NOUN
cana-1625	29	13	-	-	PUNCT
cana-1625	29	14	conorm	conorm	NOUN
cana-1625	29	15	if	if	SCONJ
cana-1625	29	16	it	it	PRON
cana-1625	29	17	meets	meet	VERB
cana-1625	29	18	the	the	DET
cana-1625	29	19	following	following	NOUN
cana-1625	29	20	:	:	PUNCT
cana-1625	29	21	(	(	PUNCT
cana-1625	29	22	i	i	NOUN
cana-1625	29	23	)	)	PUNCT
cana-1625	29	24	⨀	⨀	NOUN
cana-1625	29	25	is	be	AUX
cana-1625	29	26	associative	associative	ADJ
cana-1625	29	27	and	and	CCONJ
cana-1625	29	28	commutative	commutative	ADJ
cana-1625	29	29	,	,	PUNCT
cana-1625	29	30	(	(	PUNCT
cana-1625	29	31	ii	ii	NOUN
cana-1625	29	32	)	)	PUNCT
cana-1625	29	33	⨀	⨀	NOUN
cana-1625	29	34	is	be	AUX
cana-1625	29	35	continuous	continuous	ADJ
cana-1625	29	36	,	,	PUNCT
cana-1625	29	37	(	(	PUNCT
cana-1625	29	38	iii	iii	NOUN
cana-1625	29	39	)	)	PUNCT
cana-1625	29	40	𝔨	𝔨	PROPN
cana-1625	30	1	⨀	⨀	NOUN
cana-1625	30	2	0	0	NUM
cana-1625	30	3	=	=	PUNCT
cana-1625	30	4	𝔨	𝔨	PROPN
cana-1625	30	5	for	for	ADP
cana-1625	30	6	all	all	DET
cana-1625	30	7	𝔨	𝔨	PROPN
cana-1625	30	8	∈	∈	PROPN
cana-1625	30	9	[	[	X
cana-1625	30	10	0,1	0,1	NUM
cana-1625	30	11	]	]	PUNCT
cana-1625	30	12	,	,	PUNCT
cana-1625	30	13	(	(	PUNCT
cana-1625	30	14	iv	iv	X
cana-1625	30	15	)	)	PUNCT
cana-1625	30	16	𝔨	𝔨	PROPN
cana-1625	31	1	⨀	⨀	PROPN
cana-1625	31	2	𝜍̃	𝜍̃	PROPN
cana-1625	31	3	≤	≤	NUM
cana-1625	31	4	𝔷	𝔷	PART
cana-1625	31	5	⨀	⨀	PROPN
cana-1625	31	6	𝔡	𝔡	VERB
cana-1625	31	7	whenever	whenever	SCONJ
cana-1625	31	8	𝔨	𝔨	PROPN
cana-1625	31	9	≤	≤	X
cana-1625	31	10	𝔷	𝔷	ADP
cana-1625	31	11	and	and	CCONJ
cana-1625	31	12	𝜍̃	𝜍̃	PROPN
cana-1625	31	13	≤	≤	NUM
cana-1625	31	14	𝔡.	𝔡.	NOUN
cana-1625	31	15	example	example	NOUN
cana-1625	31	16	2.3.[2	2.3.[2	NUM
cana-1625	31	17	]	]	PUNCT
cana-1625	31	18	(	(	PUNCT
cana-1625	31	19	i	i	NOUN
cana-1625	31	20	)	)	PUNCT
cana-1625	31	21	𝔯	𝔯	PROPN
cana-1625	31	22	∗	∗	NOUN
cana-1625	31	23	𝔰	𝔰	X
cana-1625	31	24	=	=	SYM
cana-1625	31	25	min	min	PROPN
cana-1625	31	26	{	{	PUNCT
cana-1625	31	27	𝔯	𝔯	PROPN
cana-1625	31	28	,	,	PUNCT
cana-1625	31	29	𝔰	𝔰	NOUN
cana-1625	31	30	}	}	PUNCT
cana-1625	31	31	for	for	ADP
cana-1625	31	32	all	all	DET
cana-1625	31	33	𝔯	𝔯	PROPN
cana-1625	31	34	,	,	PUNCT
cana-1625	31	35	𝔰	𝔰	PROPN
cana-1625	31	36	∈	∈	PROPN
cana-1625	32	1	[	[	X
cana-1625	32	2	0,1	0,1	NUM
cana-1625	32	3	]	]	PUNCT
cana-1625	32	4	.	.	PUNCT
cana-1625	33	1	(	(	PUNCT
cana-1625	33	2	ii	ii	NOUN
cana-1625	33	3	)	)	PUNCT
cana-1625	33	4	𝔯	𝔯	PROPN
cana-1625	33	5	∗	∗	NOUN
cana-1625	33	6	𝔰	𝔰	NOUN
cana-1625	33	7	=	=	PUNCT
cana-1625	33	8	max{𝔯	max{𝔯	NOUN
cana-1625	34	1	+	+	CCONJ
cana-1625	34	2	𝔰	𝔰	NOUN
cana-1625	34	3	−	−	PROPN
cana-1625	34	4	1,0	1,0	NUM
cana-1625	34	5	}	}	PUNCT
cana-1625	34	6	for	for	ADP
cana-1625	34	7	all	all	DET
cana-1625	34	8	𝔯	𝔯	PROPN
cana-1625	34	9	,	,	PUNCT
cana-1625	34	10	𝔰	𝔰	PROPN
cana-1625	34	11	∈	∈	PROPN
cana-1625	35	1	[	[	X
cana-1625	35	2	0,1	0,1	NUM
cana-1625	35	3	]	]	PUNCT
cana-1625	35	4	.	.	PUNCT
cana-1625	36	1	example	example	NOUN
cana-1625	36	2	2.4.[2	2.4.[2	NUM
cana-1625	36	3	]	]	PUNCT
cana-1625	36	4	(	(	PUNCT
cana-1625	36	5	i	i	NOUN
cana-1625	36	6	)	)	PUNCT
cana-1625	37	1	𝔯	𝔯	PROPN
cana-1625	37	2	⨀	⨀	NOUN
cana-1625	37	3	𝔰	𝔰	NOUN
cana-1625	37	4	=	=	NOUN
cana-1625	37	5	max{𝔯	max{𝔯	X
cana-1625	37	6	,	,	PUNCT
cana-1625	37	7	𝔰	𝔰	NOUN
cana-1625	37	8	}	}	PUNCT
cana-1625	37	9	for	for	ADP
cana-1625	37	10	all	all	DET
cana-1625	37	11	∈	∈	PROPN
cana-1625	38	1	[	[	X
cana-1625	38	2	0,1	0,1	NUM
cana-1625	38	3	]	]	PUNCT
cana-1625	38	4	.	.	PUNCT
cana-1625	39	1	(	(	PUNCT
cana-1625	39	2	ii	ii	NOUN
cana-1625	39	3	)	)	PUNCT
cana-1625	39	4	𝔯	𝔯	PROPN
cana-1625	40	1	⨀	⨀	NOUN
cana-1625	40	2	𝔰	𝔰	NOUN
cana-1625	40	3	=	=	PUNCT
cana-1625	40	4	min{𝔯	min{𝔯	NOUN
cana-1625	40	5	+	+	CCONJ
cana-1625	40	6	𝔰	𝔰	NOUN
cana-1625	40	7	,	,	PUNCT
cana-1625	40	8	1	1	NUM
cana-1625	40	9	}	}	PUNCT
cana-1625	40	10	for	for	ADP
cana-1625	40	11	all	all	DET
cana-1625	40	12	𝔯	𝔯	PROPN
cana-1625	40	13	,	,	PUNCT
cana-1625	40	14	𝔰	𝔰	PROPN
cana-1625	40	15	∈	∈	PROPN
cana-1625	41	1	[	[	X
cana-1625	41	2	0,1	0,1	NUM
cana-1625	41	3	]	]	PUNCT
cana-1625	41	4	.	.	PUNCT
cana-1625	42	1	definition	definition	NOUN
cana-1625	42	2	2.5	2.5	NUM
cana-1625	42	3	.	.	PUNCT
cana-1625	43	1	the	the	DET
cana-1625	43	2	6	6	NUM
cana-1625	43	3	-	-	PUNCT
cana-1625	43	4	tuple	tuple	NOUN
cana-1625	43	5	(	(	PUNCT
cana-1625	43	6	ξ	ξ	PROPN
cana-1625	43	7	,	,	PUNCT
cana-1625	43	8	ℜ	ℜ	PROPN
cana-1625	43	9	,	,	PUNCT
cana-1625	43	10	𝔖	𝔖	PROPN
cana-1625	43	11	,	,	PUNCT
cana-1625	43	12	𝔗	𝔗	PROPN
cana-1625	43	13	∗	∗	NOUN
cana-1625	43	14	,	,	PUNCT
cana-1625	43	15	⨀	⨀	NOUN
cana-1625	43	16	)	)	PUNCT
cana-1625	43	17	is	be	AUX
cana-1625	43	18	called	call	VERB
cana-1625	43	19	a	a	DET
cana-1625	43	20	neutrosophic	neutrosophic	ADJ
cana-1625	43	21	metric	metric	ADJ
cana-1625	43	22	space	space	NOUN
cana-1625	43	23	[	[	X
cana-1625	43	24	nms	nms	X
cana-1625	43	25	]	]	X
cana-1625	43	26	if	if	SCONJ
cana-1625	43	27	ξ	ξ	PROPN
cana-1625	43	28	is	be	AUX
cana-1625	43	29	an	an	DET
cana-1625	43	30	arbitrary	arbitrary	ADJ
cana-1625	43	31	non	non	ADJ
cana-1625	43	32	void	void	NOUN
cana-1625	43	33	set	set	NOUN
cana-1625	43	34	,	,	PUNCT
cana-1625	43	35	∗	∗	PROPN
cana-1625	43	36	is	be	AUX
cana-1625	43	37	a	a	DET
cana-1625	43	38	continuous	continuous	ADJ
cana-1625	43	39	t	t	NOUN
cana-1625	43	40	-	-	PUNCT
cana-1625	43	41	norm	norm	NOUN
cana-1625	43	42	,	,	PUNCT
cana-1625	43	43	⨀	⨀	PROPN
cana-1625	43	44	is	be	AUX
cana-1625	43	45	a	a	DET
cana-1625	43	46	continuous	continuous	ADJ
cana-1625	43	47	t	t	NOUN
cana-1625	43	48	-	-	PUNCT
cana-1625	43	49	conorm	conorm	NOUN
cana-1625	43	50	and	and	CCONJ
cana-1625	43	51	ℜ	ℜ	PROPN
cana-1625	43	52	,	,	PUNCT
cana-1625	43	53	𝔖	𝔖	PROPN
cana-1625	43	54	,	,	PUNCT
cana-1625	43	55	𝔗	𝔗	PROPN
cana-1625	43	56	∶	∶	NOUN
cana-1625	43	57	ξ	ξ	X
cana-1625	43	58	×	×	NOUN
cana-1625	43	59	ξ	ξ	X
cana-1625	43	60	×	×	NOUN
cana-1625	43	61	(	(	PUNCT
cana-1625	43	62	0	0	NUM
cana-1625	43	63	,	,	PUNCT
cana-1625	43	64	∞	∞	NUM
cana-1625	43	65	)	)	PUNCT
cana-1625	43	66	→	→	PUNCT
cana-1625	44	1	[	[	X
cana-1625	44	2	0,1	0,1	NUM
cana-1625	44	3	]	]	PUNCT
cana-1625	44	4	are	be	AUX
cana-1625	44	5	fuzzy	fuzzy	ADJ
cana-1625	44	6	sets	set	NOUN
cana-1625	44	7	,	,	PUNCT
cana-1625	44	8	fulfilling	fulfil	VERB
cana-1625	44	9	the	the	DET
cana-1625	44	10	following	follow	VERB
cana-1625	44	11	assertions	assertion	NOUN
cana-1625	44	12	:	:	PUNCT
cana-1625	44	13	for	for	ADP
cana-1625	44	14	all	all	PRON
cana-1625	44	15	,	,	PUNCT
cana-1625	44	16	𝜍̃	𝜍̃	PROPN
cana-1625	44	17	,	,	PUNCT
cana-1625	44	18	𝔷	𝔷	PROPN
cana-1625	44	19	∈	∈	PROPN
cana-1625	44	20	ξ	ξ	PROPN
cana-1625	44	21	;	;	PUNCT
cana-1625	44	22	𝜚	𝜚	X
cana-1625	44	23	,	,	PUNCT
cana-1625	44	24	𝜌	𝜌	X
cana-1625	44	25	∈	∈	X
cana-1625	44	26	(	(	PUNCT
cana-1625	44	27	0	0	NUM
cana-1625	44	28	,	,	PUNCT
cana-1625	44	29	∞	∞	PROPN
cana-1625	44	30	)	)	PUNCT
cana-1625	44	31	.	.	PUNCT
cana-1625	45	1	(	(	PUNCT
cana-1625	45	2	1	1	X
cana-1625	45	3	)	)	PUNCT
cana-1625	45	4	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	45	5	,	,	PUNCT
cana-1625	45	6	𝜍̃	𝜍̃	PROPN
cana-1625	45	7	,	,	PUNCT
cana-1625	45	8	𝜚	𝜚	NOUN
cana-1625	45	9	)	)	PUNCT
cana-1625	45	10	+	+	CCONJ
cana-1625	46	1	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	46	2	,	,	PUNCT
cana-1625	46	3	𝜍̃	𝜍̃	PROPN
cana-1625	46	4	,	,	PUNCT
cana-1625	46	5	𝜚	𝜚	NOUN
cana-1625	46	6	)	)	PUNCT
cana-1625	46	7	+	+	CCONJ
cana-1625	46	8	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	46	9	,	,	PUNCT
cana-1625	46	10	𝜍̃	𝜍̃	PROPN
cana-1625	46	11	,	,	PUNCT
cana-1625	46	12	𝜚	𝜚	NOUN
cana-1625	46	13	)	)	PUNCT
cana-1625	46	14	≤	≤	NOUN
cana-1625	46	15	3	3	NUM
cana-1625	46	16	,	,	PUNCT
cana-1625	46	17	(	(	PUNCT
cana-1625	46	18	2	2	NUM
cana-1625	46	19	)	)	PUNCT
cana-1625	46	20	0	0	NUM
cana-1625	47	1	≤	≤	NOUN
cana-1625	47	2	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	3	,	,	PUNCT
cana-1625	47	4	𝜍̃	𝜍̃	PROPN
cana-1625	47	5	,	,	PUNCT
cana-1625	47	6	𝜚	𝜚	NOUN
cana-1625	47	7	)	)	PUNCT
cana-1625	47	8	≤	≤	NOUN
cana-1625	47	9	1	1	NUM
cana-1625	47	10	;	;	PUNCT
cana-1625	47	11	0	0	NUM
cana-1625	47	12	≤	≤	NUM
cana-1625	47	13	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	47	14	,	,	PUNCT
cana-1625	47	15	𝜍̃	𝜍̃	PROPN
cana-1625	47	16	,	,	PUNCT
cana-1625	47	17	𝜚	𝜚	NOUN
cana-1625	47	18	)	)	PUNCT
cana-1625	47	19	≤	≤	NOUN
cana-1625	47	20	1	1	NUM
cana-1625	47	21	and	and	CCONJ
cana-1625	47	22	0	0	NUM
cana-1625	47	23	≤	≤	NOUN
cana-1625	47	24	𝔗(𝔨	𝔗(𝔨	X
cana-1625	47	25	,	,	PUNCT
cana-1625	47	26	𝜍̃	𝜍̃	PROPN
cana-1625	47	27	,	,	PUNCT
cana-1625	47	28	𝜚	𝜚	NOUN
cana-1625	47	29	)	)	PUNCT
cana-1625	47	30	≤	≤	NUM
cana-1625	47	31	1	1	NUM
cana-1625	47	32	,	,	PUNCT
cana-1625	47	33	(	(	PUNCT
cana-1625	47	34	3	3	X
cana-1625	47	35	)	)	PUNCT
cana-1625	47	36	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	37	,	,	PUNCT
cana-1625	47	38	𝜍̃	𝜍̃	PROPN
cana-1625	47	39	,	,	PUNCT
cana-1625	47	40	𝜚	𝜚	NOUN
cana-1625	47	41	)	)	PUNCT
cana-1625	47	42	>	>	X
cana-1625	47	43	0	0	NUM
cana-1625	47	44	,	,	PUNCT
cana-1625	47	45	(	(	PUNCT
cana-1625	47	46	4	4	X
cana-1625	47	47	)	)	PUNCT
cana-1625	47	48	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	49	,	,	PUNCT
cana-1625	47	50	𝜍̃	𝜍̃	PROPN
cana-1625	47	51	,	,	PUNCT
cana-1625	47	52	𝜚	𝜚	NOUN
cana-1625	47	53	)	)	PUNCT
cana-1625	47	54	=	=	SYM
cana-1625	47	55	1	1	NUM
cana-1625	47	56	,	,	PUNCT
cana-1625	47	57	for	for	ADP
cana-1625	47	58	all	all	PRON
cana-1625	47	59	𝜚	𝜚	PRON
cana-1625	47	60	∈	∈	NOUN
cana-1625	47	61	(	(	PUNCT
cana-1625	47	62	0	0	NUM
cana-1625	47	63	,	,	PUNCT
cana-1625	47	64	∞	∞	PROPN
cana-1625	47	65	)	)	PUNCT
cana-1625	47	66	⇔	⇔	PROPN
cana-1625	47	67	𝔨	𝔨	PROPN
cana-1625	47	68	=	=	SYM
cana-1625	47	69	𝜍̃	𝜍̃	PROPN
cana-1625	47	70	,	,	PUNCT
cana-1625	47	71	(	(	PUNCT
cana-1625	47	72	5	5	NUM
cana-1625	47	73	)	)	PUNCT
cana-1625	47	74	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	75	,	,	PUNCT
cana-1625	47	76	𝜍̃	𝜍̃	PROPN
cana-1625	47	77	,	,	PUNCT
cana-1625	47	78	𝜚	𝜚	NOUN
cana-1625	47	79	)	)	PUNCT
cana-1625	47	80	=	=	SYM
cana-1625	47	81	ℜ(𝜍̃	ℜ(𝜍̃	NOUN
cana-1625	47	82	,	,	PUNCT
cana-1625	47	83	𝔨	𝔨	PROPN
cana-1625	47	84	,	,	PUNCT
cana-1625	47	85	𝜚	𝜚	NOUN
cana-1625	47	86	)	)	PUNCT
cana-1625	47	87	,	,	PUNCT
cana-1625	47	88	(	(	PUNCT
cana-1625	47	89	6	6	X
cana-1625	47	90	)	)	PUNCT
cana-1625	47	91	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	92	,	,	PUNCT
cana-1625	47	93	𝔷	𝔷	X
cana-1625	47	94	,	,	PUNCT
cana-1625	47	95	𝜚	𝜚	NOUN
cana-1625	47	96	+	+	X
cana-1625	47	97	𝜌	𝜌	X
cana-1625	47	98	)	)	PUNCT
cana-1625	47	99	≥	≥	NOUN
cana-1625	47	100	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	47	101	,	,	PUNCT
cana-1625	47	102	𝜍̃	𝜍̃	PROPN
cana-1625	47	103	,	,	PUNCT
cana-1625	47	104	𝜚	𝜚	NOUN
cana-1625	47	105	)	)	PUNCT
cana-1625	47	106	∗	∗	NOUN
cana-1625	47	107	ℜ(𝜍̃	ℜ(𝜍̃	NOUN
cana-1625	47	108	,	,	PUNCT
cana-1625	47	109	𝔷	𝔷	PRON
cana-1625	47	110	,	,	PUNCT
cana-1625	47	111	𝜌	𝜌	ADP
cana-1625	47	112	)	)	PUNCT
cana-1625	47	113	,	,	PUNCT
cana-1625	47	114	(	(	PUNCT
cana-1625	47	115	7	7	X
cana-1625	47	116	)	)	PUNCT
cana-1625	47	117	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	47	118	,	,	PUNCT
cana-1625	47	119	𝜍̃	𝜍̃	PROPN
cana-1625	47	120	,	,	PUNCT
cana-1625	47	121	𝜚	𝜚	NOUN
cana-1625	47	122	):	):	PUNCT
cana-1625	47	123	(	(	PUNCT
cana-1625	47	124	0	0	NUM
cana-1625	47	125	,	,	PUNCT
cana-1625	47	126	∞	∞	NUM
cana-1625	47	127	)	)	PUNCT
cana-1625	47	128	→	→	PUNCT
cana-1625	48	1	[	[	X
cana-1625	48	2	0,1	0,1	NUM
cana-1625	48	3	]	]	PUNCT
cana-1625	48	4	is	be	AUX
cana-1625	48	5	continuous	continuous	ADJ
cana-1625	48	6	,	,	PUNCT
cana-1625	48	7	(	(	PUNCT
cana-1625	48	8	8)	8)	NUM
cana-1625	48	9	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	10	,	,	PUNCT
cana-1625	48	11	𝜍̃	𝜍̃	PROPN
cana-1625	48	12	,	,	PUNCT
cana-1625	48	13	𝜚	𝜚	NOUN
cana-1625	48	14	)	)	PUNCT
cana-1625	48	15	<	<	X
cana-1625	48	16	1	1	NUM
cana-1625	48	17	,	,	PUNCT
cana-1625	48	18	(	(	PUNCT
cana-1625	48	19	9	9	NUM
cana-1625	48	20	)	)	PUNCT
cana-1625	48	21	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	22	,	,	PUNCT
cana-1625	48	23	𝜍̃	𝜍̃	PROPN
cana-1625	48	24	,	,	PUNCT
cana-1625	48	25	𝜚	𝜚	NOUN
cana-1625	48	26	)	)	PUNCT
cana-1625	48	27	=	=	SYM
cana-1625	48	28	0	0	NUM
cana-1625	48	29	,	,	PUNCT
cana-1625	48	30	for	for	ADP
cana-1625	48	31	all	all	PRON
cana-1625	48	32	𝜚	𝜚	PRON
cana-1625	48	33	∈	∈	NOUN
cana-1625	48	34	(	(	PUNCT
cana-1625	48	35	0	0	NUM
cana-1625	48	36	,	,	PUNCT
cana-1625	48	37	∞	∞	PROPN
cana-1625	48	38	)	)	PUNCT
cana-1625	48	39	⇔	⇔	PROPN
cana-1625	48	40	𝔨	𝔨	PROPN
cana-1625	48	41	=	=	SYM
cana-1625	48	42	𝜍̃	𝜍̃	PROPN
cana-1625	48	43	,	,	PUNCT
cana-1625	48	44	(	(	PUNCT
cana-1625	48	45	10	10	NUM
cana-1625	48	46	)	)	PUNCT
cana-1625	48	47	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	48	,	,	PUNCT
cana-1625	48	49	𝜍̃	𝜍̃	PROPN
cana-1625	48	50	,	,	PUNCT
cana-1625	48	51	𝜚	𝜚	NOUN
cana-1625	48	52	)	)	PUNCT
cana-1625	48	53	=	=	SYM
cana-1625	48	54	𝔖(𝜍̃	𝔖(𝜍̃	NOUN
cana-1625	48	55	,	,	PUNCT
cana-1625	48	56	𝔨	𝔨	PROPN
cana-1625	48	57	,	,	PUNCT
cana-1625	48	58	𝜚	𝜚	NOUN
cana-1625	48	59	)	)	PUNCT
cana-1625	48	60	,	,	PUNCT
cana-1625	48	61	(	(	PUNCT
cana-1625	48	62	11	11	NUM
cana-1625	48	63	)	)	PUNCT
cana-1625	48	64	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	65	,	,	PUNCT
cana-1625	48	66	𝔷	𝔷	PRON
cana-1625	48	67	,	,	PUNCT
cana-1625	48	68	𝜚	𝜚	NOUN
cana-1625	48	69	+	+	X
cana-1625	48	70	𝜌	𝜌	X
cana-1625	48	71	)	)	PUNCT
cana-1625	48	72	≤	≤	NOUN
cana-1625	48	73	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	74	,	,	PUNCT
cana-1625	48	75	𝜍̃	𝜍̃	PROPN
cana-1625	48	76	,	,	PUNCT
cana-1625	48	77	𝜚	𝜚	NOUN
cana-1625	48	78	)	)	PUNCT
cana-1625	48	79	⨀	⨀	NOUN
cana-1625	48	80	𝔖(	𝔖(	NOUN
cana-1625	48	81	�	�	PROPN
cana-1625	48	82	̃	̃	PROPN
cana-1625	48	83	�	�	PROPN
cana-1625	48	84	,	,	PUNCT
cana-1625	48	85	𝔷	𝔷	X
cana-1625	48	86	,	,	PUNCT
cana-1625	48	87	𝜌	𝜌	ADP
cana-1625	48	88	)	)	PUNCT
cana-1625	48	89	,	,	PUNCT
cana-1625	48	90	(	(	PUNCT
cana-1625	48	91	12	12	NUM
cana-1625	48	92	)	)	PUNCT
cana-1625	48	93	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	48	94	,	,	PUNCT
cana-1625	48	95	𝜍̃	𝜍̃	PROPN
cana-1625	48	96	,	,	PUNCT
cana-1625	48	97	𝜚	𝜚	NOUN
cana-1625	48	98	):	):	PUNCT
cana-1625	48	99	(	(	PUNCT
cana-1625	48	100	0	0	NUM
cana-1625	48	101	,	,	PUNCT
cana-1625	48	102	∞	∞	NUM
cana-1625	48	103	)	)	PUNCT
cana-1625	48	104	→	→	PUNCT
cana-1625	49	1	[	[	X
cana-1625	49	2	0,1	0,1	NUM
cana-1625	49	3	]	]	PUNCT
cana-1625	49	4	is	be	AUX
cana-1625	49	5	continuous	continuous	ADJ
cana-1625	49	6	,	,	PUNCT
cana-1625	49	7	(	(	PUNCT
cana-1625	49	8	13	13	NUM
cana-1625	49	9	)	)	PUNCT
cana-1625	49	10	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	49	11	,	,	PUNCT
cana-1625	49	12	𝜍̃	𝜍̃	PROPN
cana-1625	49	13	,	,	PUNCT
cana-1625	49	14	𝜚	𝜚	NOUN
cana-1625	49	15	)	)	PUNCT
cana-1625	49	16	<	<	X
cana-1625	49	17	1	1	NUM
cana-1625	49	18	,	,	PUNCT
cana-1625	49	19	(	(	PUNCT
cana-1625	49	20	14	14	NUM
cana-1625	49	21	)	)	PUNCT
cana-1625	49	22	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	49	23	,	,	PUNCT
cana-1625	49	24	𝜍̃	𝜍̃	PROPN
cana-1625	49	25	,	,	PUNCT
cana-1625	49	26	𝜚	𝜚	NOUN
cana-1625	49	27	)	)	PUNCT
cana-1625	49	28	=	=	SYM
cana-1625	49	29	0	0	NUM
cana-1625	49	30	for	for	ADP
cana-1625	49	31	all	all	PRON
cana-1625	49	32	𝜚	𝜚	PRON
cana-1625	49	33	∈	∈	NOUN
cana-1625	49	34	(	(	PUNCT
cana-1625	49	35	0	0	NUM
cana-1625	49	36	,	,	PUNCT
cana-1625	49	37	∞	∞	PROPN
cana-1625	49	38	)	)	PUNCT
cana-1625	49	39	⇔	⇔	PROPN
cana-1625	49	40	𝔨	𝔨	PROPN
cana-1625	49	41	=	=	SYM
cana-1625	49	42	𝜍̃	𝜍̃	PROPN
cana-1625	49	43	,	,	PUNCT
cana-1625	49	44	(	(	PUNCT
cana-1625	49	45	15	15	NUM
cana-1625	49	46	)	)	PUNCT
cana-1625	49	47	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	49	48	,	,	PUNCT
cana-1625	49	49	𝜍̃	𝜍̃	PROPN
cana-1625	49	50	,	,	PUNCT
cana-1625	49	51	𝜚	𝜚	NOUN
cana-1625	49	52	)	)	PUNCT
cana-1625	49	53	=	=	SYM
cana-1625	49	54	𝔗(𝜍̃	𝔗(𝜍̃	NOUN
cana-1625	49	55	,	,	PUNCT
cana-1625	49	56	𝔨	𝔨	PROPN
cana-1625	49	57	,	,	PUNCT
cana-1625	49	58	𝜚	𝜚	NOUN
cana-1625	49	59	)	)	PUNCT
cana-1625	49	60	,	,	PUNCT
cana-1625	49	61	(	(	PUNCT
cana-1625	49	62	16	16	NUM
cana-1625	49	63	)	)	PUNCT
cana-1625	49	64	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	49	65	,	,	PUNCT
cana-1625	49	66	𝔷	𝔷	PRON
cana-1625	49	67	,	,	PUNCT
cana-1625	49	68	𝜚	𝜚	NOUN
cana-1625	49	69	+	+	X
cana-1625	49	70	𝜌	𝜌	X
cana-1625	49	71	)	)	PUNCT
cana-1625	49	72	≤	≤	NOUN
cana-1625	50	1	𝔗(𝔨	𝔗(𝔨	X
cana-1625	50	2	,	,	PUNCT
cana-1625	50	3	𝜍̃	𝜍̃	PROPN
cana-1625	50	4	,	,	PUNCT
cana-1625	50	5	𝜚)⨀𝔗(𝜍̃	𝜚)⨀𝔗(𝜍̃	NOUN
cana-1625	50	6	,	,	PUNCT
cana-1625	50	7	𝔷	𝔷	X
cana-1625	50	8	,	,	PUNCT
cana-1625	50	9	𝜌	𝜌	ADP
cana-1625	50	10	)	)	PUNCT
cana-1625	50	11	,	,	PUNCT
cana-1625	50	12	communications	communication	NOUN
cana-1625	50	13	on	on	ADP
cana-1625	50	14	applied	apply	VERB
cana-1625	50	15	nonlinear	nonlinear	ADJ
cana-1625	50	16	analysis	analysis	NOUN
cana-1625	50	17	issn	issn	NOUN
cana-1625	50	18	:	:	PUNCT
cana-1625	50	19	1074	1074	NUM
cana-1625	50	20	-	-	PUNCT
cana-1625	50	21	133x	133x	NUM
cana-1625	50	22	vol	vol	NOUN
cana-1625	50	23	32	32	NUM
cana-1625	50	24	no	no	NOUN
cana-1625	50	25	.	.	NOUN
cana-1625	50	26	1	1	NUM
cana-1625	50	27	(	(	PUNCT
cana-1625	50	28	2025	2025	NUM
cana-1625	50	29	)	)	PUNCT
cana-1625	50	30	115	115	NUM
cana-1625	50	31	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	50	32	(	(	PUNCT
cana-1625	50	33	17	17	NUM
cana-1625	50	34	)	)	PUNCT
cana-1625	50	35	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	50	36	,	,	PUNCT
cana-1625	50	37	𝜍̃	𝜍̃	PROPN
cana-1625	50	38	,	,	PUNCT
cana-1625	50	39	𝜚	𝜚	NOUN
cana-1625	50	40	):	):	PUNCT
cana-1625	50	41	(	(	PUNCT
cana-1625	50	42	0	0	NUM
cana-1625	50	43	,	,	PUNCT
cana-1625	50	44	∞	∞	NUM
cana-1625	50	45	)	)	PUNCT
cana-1625	50	46	→	→	PUNCT
cana-1625	51	1	[	[	X
cana-1625	51	2	0,1	0,1	NUM
cana-1625	51	3	]	]	PUNCT
cana-1625	51	4	is	be	AUX
cana-1625	51	5	continuous	continuous	ADJ
cana-1625	51	6	.	.	PUNCT
cana-1625	52	1	the	the	DET
cana-1625	52	2	triplet	triplet	NOUN
cana-1625	52	3	(	(	PUNCT
cana-1625	52	4	ℜ	ℜ	PROPN
cana-1625	52	5	,	,	PUNCT
cana-1625	52	6	𝔖	𝔖	PROPN
cana-1625	52	7	,	,	PUNCT
cana-1625	52	8	𝔗	𝔗	PROPN
cana-1625	52	9	)	)	PUNCT
cana-1625	52	10	is	be	AUX
cana-1625	52	11	named	name	VERB
cana-1625	52	12	a	a	DET
cana-1625	52	13	nms	nms	NOUN
cana-1625	52	14	.	.	PUNCT
cana-1625	53	1	the	the	DET
cana-1625	53	2	function	function	NOUN
cana-1625	53	3	ℜ(𝔨	ℜ(𝔨	PRON
cana-1625	53	4	,	,	PUNCT
cana-1625	53	5	𝜍̃	𝜍̃	PROPN
cana-1625	53	6	,	,	PUNCT
cana-1625	53	7	𝜚	𝜚	NOUN
cana-1625	53	8	)	)	PUNCT
cana-1625	53	9	,	,	PUNCT
cana-1625	53	10	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	53	11	,	,	PUNCT
cana-1625	53	12	𝜍̃	𝜍̃	PROPN
cana-1625	53	13	,	,	PUNCT
cana-1625	53	14	𝜚	𝜚	NOUN
cana-1625	53	15	)	)	PUNCT
cana-1625	53	16	and	and	CCONJ
cana-1625	53	17	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	53	18	,	,	PUNCT
cana-1625	53	19	𝜍̃	𝜍̃	PROPN
cana-1625	53	20	,	,	PUNCT
cana-1625	53	21	𝜚	𝜚	NOUN
cana-1625	53	22	)	)	PUNCT
cana-1625	53	23	indicates	indicate	VERB
cana-1625	53	24	the	the	DET
cana-1625	53	25	degree	degree	NOUN
cana-1625	53	26	of	of	ADP
cana-1625	53	27	nearness	nearness	NOUN
cana-1625	53	28	,	,	PUNCT
cana-1625	53	29	non	non	ADJ
cana-1625	53	30	-	-	NOUN
cana-1625	53	31	nearness	nearness	NOUN
cana-1625	53	32	and	and	CCONJ
cana-1625	53	33	neutralness	neutralness	NOUN
cana-1625	53	34	between	between	ADP
cana-1625	53	35	𝔨	𝔨	PROPN
cana-1625	53	36	and	and	CCONJ
cana-1625	53	37	𝜍̃	𝜍̃	PROPN
cana-1625	53	38	with	with	ADP
cana-1625	53	39	respect	respect	NOUN
cana-1625	53	40	to	to	ADP
cana-1625	53	41	𝜚.	𝜚.	NOUN
cana-1625	53	42	example	example	NOUN
cana-1625	53	43	2.6	2.6	NUM
cana-1625	53	44	:	:	PUNCT
cana-1625	53	45	let	let	VERB
cana-1625	53	46	ξ	ξ	X
cana-1625	53	47	=	=	SYM
cana-1625	53	48	ℝ	ℝ	PROPN
cana-1625	53	49	and	and	CCONJ
cana-1625	53	50	let	let	VERB
cana-1625	53	51	𝔯	𝔯	PROPN
cana-1625	53	52	∗	∗	VERB
cana-1625	53	53	𝔰	𝔰	PRON
cana-1625	54	1	=	=	NOUN
cana-1625	54	2	min{𝔯	min{𝔯	NOUN
cana-1625	54	3	,	,	PUNCT
cana-1625	54	4	𝔰	𝔰	NOUN
cana-1625	54	5	}	}	PUNCT
cana-1625	54	6	and	and	CCONJ
cana-1625	54	7	𝔯⨀𝔰	𝔯⨀𝔰	NOUN
cana-1625	54	8	=	=	SYM
cana-1625	54	9	max{𝔯	max{𝔯	NOUN
cana-1625	54	10	,	,	PUNCT
cana-1625	54	11	𝔰	𝔰	NOUN
cana-1625	54	12	}	}	PUNCT
cana-1625	54	13	,	,	PUNCT
cana-1625	54	14	for	for	ADP
cana-1625	54	15	all	all	DET
cana-1625	54	16	𝔯	𝔯	PROPN
cana-1625	54	17	,	,	PUNCT
cana-1625	54	18	𝔰	𝔰	PROPN
cana-1625	54	19	∈	∈	PROPN
cana-1625	55	1	[	[	X
cana-1625	55	2	0,1	0,1	NUM
cana-1625	55	3	]	]	PUNCT
cana-1625	55	4	.	.	PUNCT
cana-1625	56	1	for	for	ADP
cana-1625	56	2	each	each	DET
cana-1625	56	3	𝜚	𝜚	NOUN
cana-1625	56	4	>	>	X
cana-1625	56	5	0	0	PROPN
cana-1625	56	6	,	,	PUNCT
cana-1625	56	7	𝔨	𝔨	PROPN
cana-1625	56	8	,	,	PUNCT
cana-1625	56	9	𝜍̃	𝜍̃	PROPN
cana-1625	56	10	∈	∈	PROPN
cana-1625	56	11	ξ	ξ	PROPN
cana-1625	56	12	,	,	PUNCT
cana-1625	56	13	we	we	PRON
cana-1625	56	14	define	define	VERB
cana-1625	56	15	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	56	16	,	,	PUNCT
cana-1625	56	17	𝜍̃	𝜍̃	PROPN
cana-1625	56	18	,	,	PUNCT
cana-1625	56	19	𝜚	𝜚	NOUN
cana-1625	56	20	)	)	PUNCT
cana-1625	56	21	=	=	PUNCT
cana-1625	56	22	𝑒	𝑒	PROPN
cana-1625	56	23	−	−	PROPN
cana-1625	56	24	|𝔨−	|𝔨−	PROPN
cana-1625	56	25	�	�	PROPN
cana-1625	56	26	̃	̃	PROPN
cana-1625	56	27	�	�	PROPN
cana-1625	56	28	|	|	NOUN
cana-1625	56	29	𝜚	𝜚	NOUN
cana-1625	56	30	,	,	PUNCT
cana-1625	56	31	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	56	32	,	,	PUNCT
cana-1625	56	33	𝜍̃	𝜍̃	PROPN
cana-1625	56	34	,	,	PUNCT
cana-1625	56	35	𝜚	𝜚	NOUN
cana-1625	56	36	)	)	PUNCT
cana-1625	56	37	=	=	SYM
cana-1625	56	38	(	(	PUNCT
cana-1625	56	39	𝑒	𝑒	PROPN
cana-1625	56	40	|𝔨−	|𝔨−	PROPN
cana-1625	56	41	�	�	PROPN
cana-1625	56	42	̃	̃	PROPN
cana-1625	56	43	�	�	NOUN
cana-1625	56	44	|	|	NOUN
cana-1625	57	1	𝜚	𝜚	NOUN
cana-1625	57	2	−	−	PROPN
cana-1625	57	3	1)𝑒	1)𝑒	NUM
cana-1625	57	4	−	−	ADP
cana-1625	57	5	|𝔨−	|𝔨−	PROPN
cana-1625	57	6	�	�	SYM
cana-1625	57	7	̃	̃	PROPN
cana-1625	57	8	�	�	PROPN
cana-1625	57	9	|	|	ADJ
cana-1625	57	10	𝜚	𝜚	NOUN
cana-1625	57	11	and	and	CCONJ
cana-1625	57	12	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	57	13	,	,	PUNCT
cana-1625	57	14	𝜍̃	𝜍̃	PROPN
cana-1625	57	15	,	,	PUNCT
cana-1625	57	16	𝜚	𝜚	NOUN
cana-1625	57	17	)	)	PUNCT
cana-1625	58	1	=	=	SYM
cana-1625	58	2	(	(	PUNCT
cana-1625	58	3	𝑒	𝑒	PROPN
cana-1625	58	4	|𝔨−	|𝔨−	PROPN
cana-1625	58	5	�	�	PROPN
cana-1625	58	6	̃	̃	PROPN
cana-1625	58	7	�	�	NOUN
cana-1625	58	8	|	|	NOUN
cana-1625	58	9	𝜚	𝜚	NOUN
cana-1625	58	10	−	−	NOUN
cana-1625	58	11	1	1	NUM
cana-1625	58	12	)	)	PUNCT
cana-1625	58	13	.	.	PUNCT
cana-1625	59	1	then	then	ADV
cana-1625	59	2	(	(	PUNCT
cana-1625	59	3	ξ	ξ	X
cana-1625	59	4	,	,	PUNCT
cana-1625	59	5	ℜ	ℜ	PROPN
cana-1625	59	6	,	,	PUNCT
cana-1625	59	7	𝔖	𝔖	PROPN
cana-1625	59	8	,	,	PUNCT
cana-1625	59	9	𝔗	𝔗	PROPN
cana-1625	59	10	∗	∗	NOUN
cana-1625	59	11	,	,	PUNCT
cana-1625	59	12	⨀	⨀	NOUN
cana-1625	59	13	)	)	PUNCT
cana-1625	59	14	is	be	AUX
cana-1625	59	15	a	a	DET
cana-1625	59	16	nms	nms	NOUN
cana-1625	59	17	.	.	PUNCT
cana-1625	60	1	definition	definition	NOUN
cana-1625	60	2	2.7	2.7	NUM
cana-1625	60	3	:	:	PUNCT
cana-1625	60	4	let	let	VERB
cana-1625	60	5	(	(	PUNCT
cana-1625	60	6	ξ	ξ	X
cana-1625	60	7	,	,	PUNCT
cana-1625	60	8	ℜ	ℜ	PROPN
cana-1625	60	9	,	,	PUNCT
cana-1625	60	10	𝔖	𝔖	PROPN
cana-1625	60	11	,	,	PUNCT
cana-1625	60	12	𝔗	𝔗	PROPN
cana-1625	60	13	∗	∗	NOUN
cana-1625	60	14	,	,	PUNCT
cana-1625	60	15	⨀	⨀	NOUN
cana-1625	60	16	)	)	PUNCT
cana-1625	60	17	be	be	VERB
cana-1625	60	18	nms	nms	NOUN
cana-1625	60	19	and	and	CCONJ
cana-1625	60	20	𝔏	𝔏	PROPN
cana-1625	60	21	and	and	CCONJ
cana-1625	60	22	𝔐	𝔐	PRON
cana-1625	60	23	are	be	AUX
cana-1625	60	24	self	self	NOUN
cana-1625	60	25	mappings	mapping	NOUN
cana-1625	60	26	on	on	ADP
cana-1625	60	27	ξ	ξ	NOUN
cana-1625	60	28	.	.	PUNCT
cana-1625	61	1	the	the	DET
cana-1625	61	2	self	self	NOUN
cana-1625	61	3	mappins	mappin	VERB
cana-1625	61	4	𝔏	𝔏	NOUN
cana-1625	61	5	and	and	CCONJ
cana-1625	61	6	𝔐	𝔐	PROPN
cana-1625	61	7	are	be	AUX
cana-1625	61	8	named	name	VERB
cana-1625	61	9	to	to	PART
cana-1625	61	10	be	be	AUX
cana-1625	61	11	commuting	commute	VERB
cana-1625	61	12	if	if	SCONJ
cana-1625	61	13	𝔏𝔐(𝔨	𝔏𝔐(𝔨	NOUN
cana-1625	61	14	)	)	PUNCT
cana-1625	61	15	=	=	SYM
cana-1625	61	16	𝔐𝔏(𝔨	𝔐𝔏(𝔨	NOUN
cana-1625	61	17	)	)	PUNCT
cana-1625	61	18	,	,	PUNCT
cana-1625	61	19	for	for	ADP
cana-1625	61	20	all	all	PRON
cana-1625	61	21	𝔨	𝔨	PROPN
cana-1625	61	22	∈	∈	PROPN
cana-1625	61	23	ξ	ξ	PROPN
cana-1625	61	24	.	.	PUNCT
cana-1625	62	1	the	the	DET
cana-1625	62	2	self	self	NOUN
cana-1625	62	3	maps	map	NOUN
cana-1625	62	4	𝔏	𝔏	PROPN
cana-1625	62	5	and	and	CCONJ
cana-1625	62	6	𝔐	𝔐	PROPN
cana-1625	62	7	are	be	AUX
cana-1625	62	8	named	name	VERB
cana-1625	62	9	to	to	PART
cana-1625	62	10	be	be	AUX
cana-1625	62	11	compatible	compatible	ADJ
cana-1625	62	12	if	if	SCONJ
cana-1625	62	13	lim	lim	PROPN
cana-1625	62	14	𝑛→∞	𝑛→∞	NUM
cana-1625	62	15	|ℜ(𝔏𝔐𝔨𝑛	|ℜ(𝔏𝔐𝔨𝑛	PROPN
cana-1625	62	16	,	,	PUNCT
cana-1625	62	17	𝔐𝔏𝔨𝑛	𝔐𝔏𝔨𝑛	PROPN
cana-1625	62	18	,	,	PUNCT
cana-1625	62	19	𝜚)|	𝜚)|	NOUN
cana-1625	62	20	=	=	SYM
cana-1625	62	21	1	1	NUM
cana-1625	62	22	,	,	PUNCT
cana-1625	62	23	lim	lim	NOUN
cana-1625	62	24	𝑛→∞	𝑛→∞	NUM
cana-1625	62	25	|𝔖(𝔏𝔐𝔨𝑛	|𝔖(𝔏𝔐𝔨𝑛	PROPN
cana-1625	62	26	,	,	PUNCT
cana-1625	62	27	𝔐𝔏𝔨𝑛	𝔐𝔏𝔨𝑛	PROPN
cana-1625	62	28	,	,	PUNCT
cana-1625	62	29	𝜚)|	𝜚)|	NOUN
cana-1625	62	30	=	=	SYM
cana-1625	62	31	0	0	PUNCT
cana-1625	62	32	and	and	CCONJ
cana-1625	62	33	lim	lim	PROPN
cana-1625	62	34	𝑛→∞	𝑛→∞	NUM
cana-1625	62	35	|𝔗(𝔏𝔐𝔨𝑛	|𝔗(𝔏𝔐𝔨𝑛	PROPN
cana-1625	62	36	,	,	PUNCT
cana-1625	62	37	𝔐𝔏𝔨𝑛	𝔐𝔏𝔨𝑛	PROPN
cana-1625	62	38	,	,	PUNCT
cana-1625	62	39	𝜚)|	𝜚)|	NOUN
cana-1625	62	40	=	=	SYM
cana-1625	62	41	0	0	NUM
cana-1625	62	42	,	,	PUNCT
cana-1625	62	43	𝜚	𝜚	NOUN
cana-1625	62	44	>	>	X
cana-1625	63	1	0	0	X
cana-1625	63	2	.	.	PUNCT
cana-1625	64	1	whenever	whenever	SCONJ
cana-1625	64	2	{	{	PUNCT
cana-1625	64	3	𝔨𝑛	𝔨𝑛	X
cana-1625	64	4	}	}	PUNCT
cana-1625	64	5	is	be	AUX
cana-1625	64	6	a	a	DET
cana-1625	64	7	sequence	sequence	NOUN
cana-1625	64	8	in	in	ADP
cana-1625	64	9	ξ	ξ	PROPN
cana-1625	64	10	such	such	ADJ
cana-1625	64	11	that	that	SCONJ
cana-1625	64	12	lim	lim	PROPN
cana-1625	64	13	𝑛→∞	𝑛→∞	NUM
cana-1625	64	14	𝔏	𝔏	NOUN
cana-1625	64	15	𝔨𝑛	𝔨𝑛	PROPN
cana-1625	64	16	=	=	SYM
cana-1625	64	17	lim	lim	PROPN
cana-1625	64	18	𝑛→∞	𝑛→∞	NUM
cana-1625	64	19	𝔐	𝔐	PROPN
cana-1625	64	20	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	64	21	,	,	PUNCT
cana-1625	64	22	for	for	ADP
cana-1625	64	23	some	some	DET
cana-1625	64	24	𝔨	𝔨	PROPN
cana-1625	64	25	∈	∈	PROPN
cana-1625	64	26	ξ	ξ	PROPN
cana-1625	64	27	.	.	PUNCT
cana-1625	64	28	definition	definition	NOUN
cana-1625	64	29	2.8	2.8	NUM
cana-1625	64	30	:	:	PUNCT
cana-1625	64	31	let	let	VERB
cana-1625	64	32	(	(	PUNCT
cana-1625	64	33	ξ	ξ	X
cana-1625	64	34	,	,	PUNCT
cana-1625	64	35	ℜ	ℜ	PROPN
cana-1625	64	36	,	,	PUNCT
cana-1625	64	37	𝔖	𝔖	PROPN
cana-1625	64	38	,	,	PUNCT
cana-1625	64	39	𝔗	𝔗	PROPN
cana-1625	64	40	∗	∗	NOUN
cana-1625	64	41	,	,	PUNCT
cana-1625	64	42	⨀	⨀	NOUN
cana-1625	64	43	)	)	PUNCT
cana-1625	64	44	be	be	VERB
cana-1625	64	45	nms	nms	NOUN
cana-1625	64	46	and	and	CCONJ
cana-1625	64	47	𝔏	𝔏	PROPN
cana-1625	64	48	and	and	CCONJ
cana-1625	64	49	𝔐	𝔐	PRON
cana-1625	64	50	are	be	AUX
cana-1625	64	51	self	self	NOUN
cana-1625	64	52	mappings	mapping	NOUN
cana-1625	64	53	on	on	ADP
cana-1625	64	54	ξ	ξ	NOUN
cana-1625	64	55	.	.	PUNCT
cana-1625	65	1	the	the	DET
cana-1625	65	2	self	self	NOUN
cana-1625	65	3	mappings	mapping	NOUN
cana-1625	65	4	𝔏	𝔏	NOUN
cana-1625	65	5	and	and	CCONJ
cana-1625	65	6	𝔐	𝔐	PROPN
cana-1625	65	7	are	be	AUX
cana-1625	65	8	named	name	VERB
cana-1625	65	9	to	to	PART
cana-1625	65	10	be	be	AUX
cana-1625	65	11	occasionally	occasionally	ADV
cana-1625	65	12	weakly	weakly	ADV
cana-1625	65	13	compatible	compatible	ADJ
cana-1625	66	1	[	[	X
cana-1625	66	2	owc	owc	X
cana-1625	66	3	]	]	PUNCT
cana-1625	66	4	if	if	SCONJ
cana-1625	66	5	and	and	CCONJ
cana-1625	66	6	only	only	ADV
cana-1625	66	7	if	if	SCONJ
cana-1625	66	8	there	there	PRON
cana-1625	66	9	is	be	VERB
cana-1625	66	10	a	a	DET
cana-1625	66	11	coincidence	coincidence	NOUN
cana-1625	66	12	point	point	NOUN
cana-1625	66	13	𝔨	𝔨	PROPN
cana-1625	66	14	in	in	ADP
cana-1625	66	15	ξ	ξ	PROPN
cana-1625	66	16	of	of	ADP
cana-1625	66	17	𝔏	𝔏	PROPN
cana-1625	66	18	and	and	CCONJ
cana-1625	66	19	𝔐	𝔐	PROPN
cana-1625	66	20	commute	commute	NOUN
cana-1625	66	21	.	.	PUNCT
cana-1625	67	1	i.e.	i.e.	X
cana-1625	67	2	,	,	PUNCT
cana-1625	67	3	𝔏𝔐𝔨	𝔏𝔐𝔨	X
cana-1625	67	4	=	=	PUNCT
cana-1625	68	1	𝔐𝔏𝔨.	𝔐𝔏𝔨.	PROPN
cana-1625	68	2	lemma	lemma	PROPN
cana-1625	68	3	2.9	2.9	NUM
cana-1625	68	4	:	:	PUNCT
cana-1625	68	5	let	let	VERB
cana-1625	68	6	(	(	PUNCT
cana-1625	68	7	ξ	ξ	X
cana-1625	68	8	,	,	PUNCT
cana-1625	68	9	ℜ	ℜ	PROPN
cana-1625	68	10	,	,	PUNCT
cana-1625	68	11	𝔖	𝔖	PROPN
cana-1625	68	12	,	,	PUNCT
cana-1625	68	13	𝔗,∗	𝔗,∗	PROPN
cana-1625	68	14	,	,	PUNCT
cana-1625	68	15	⨀	⨀	PROPN
cana-1625	68	16	)	)	PUNCT
cana-1625	68	17	be	be	VERB
cana-1625	68	18	a	a	DET
cana-1625	68	19	nms	nms	NOUN
cana-1625	68	20	with	with	ADP
cana-1625	68	21	lim	lim	PROPN
cana-1625	68	22	𝜚→∞	𝜚→∞	X
cana-1625	68	23	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	68	24	,	,	PUNCT
cana-1625	68	25	𝜍̃	𝜍̃	PROPN
cana-1625	68	26	,	,	PUNCT
cana-1625	68	27	𝜚	𝜚	NOUN
cana-1625	68	28	)	)	PUNCT
cana-1625	68	29	=	=	SYM
cana-1625	68	30	1	1	NUM
cana-1625	68	31	,	,	PUNCT
cana-1625	68	32	lim	lim	PROPN
cana-1625	68	33	𝜚→∞	𝜚→∞	X
cana-1625	68	34	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	68	35	,	,	PUNCT
cana-1625	68	36	𝜍̃	𝜍̃	PROPN
cana-1625	68	37	,	,	PUNCT
cana-1625	68	38	𝜚	𝜚	NOUN
cana-1625	68	39	)	)	PUNCT
cana-1625	68	40	=	=	SYM
cana-1625	68	41	0	0	PUNCT
cana-1625	69	1	and	and	CCONJ
cana-1625	69	2	lim	lim	PROPN
cana-1625	69	3	𝜚→∞	𝜚→∞	X
cana-1625	69	4	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	69	5	,	,	PUNCT
cana-1625	69	6	𝜍̃	𝜍̃	PROPN
cana-1625	69	7	,	,	PUNCT
cana-1625	69	8	𝜚	𝜚	NOUN
cana-1625	69	9	)	)	PUNCT
cana-1625	69	10	=	=	SYM
cana-1625	69	11	0	0	NUM
cana-1625	69	12	,	,	PUNCT
cana-1625	69	13	for	for	ADP
cana-1625	69	14	all	all	DET
cana-1625	69	15	𝔨	𝔨	PROPN
cana-1625	69	16	,	,	PUNCT
cana-1625	69	17	𝜍̃	𝜍̃	PROPN
cana-1625	69	18	∈	∈	PROPN
cana-1625	70	1	ξ	ξ	X
cana-1625	70	2	.	.	PUNCT
cana-1625	71	1	if	if	SCONJ
cana-1625	71	2	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	71	3	,	,	PUNCT
cana-1625	71	4	𝜍̃	𝜍̃	PROPN
cana-1625	71	5	,	,	PUNCT
cana-1625	71	6	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	71	7	)	)	PUNCT
cana-1625	71	8	≥	≥	NOUN
cana-1625	71	9	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	71	10	,	,	PUNCT
cana-1625	71	11	𝜍̃	𝜍̃	PROPN
cana-1625	71	12	,	,	PUNCT
cana-1625	71	13	𝜚	𝜚	NOUN
cana-1625	71	14	)	)	PUNCT
cana-1625	71	15	,	,	PUNCT
cana-1625	71	16	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	71	17	,	,	PUNCT
cana-1625	71	18	𝜍̃	𝜍̃	PROPN
cana-1625	71	19	,	,	PUNCT
cana-1625	71	20	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	71	21	)	)	PUNCT
cana-1625	71	22	≤	≤	NOUN
cana-1625	71	23	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	71	24	,	,	PUNCT
cana-1625	71	25	𝜍̃	𝜍̃	PROPN
cana-1625	71	26	,	,	PUNCT
cana-1625	71	27	𝜚	𝜚	NOUN
cana-1625	71	28	)	)	PUNCT
cana-1625	71	29	and	and	CCONJ
cana-1625	71	30	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	71	31	,	,	PUNCT
cana-1625	71	32	𝜍̃	𝜍̃	PROPN
cana-1625	71	33	,	,	PUNCT
cana-1625	71	34	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	71	35	)	)	PUNCT
cana-1625	71	36	≤	≤	PUNCT
cana-1625	72	1	𝔗(𝔨	𝔗(𝔨	X
cana-1625	72	2	,	,	PUNCT
cana-1625	72	3	𝜍̃	𝜍̃	PROPN
cana-1625	72	4	,	,	PUNCT
cana-1625	72	5	𝜚	𝜚	NOUN
cana-1625	72	6	)	)	PUNCT
cana-1625	72	7	for	for	ADP
cana-1625	72	8	some	some	DET
cana-1625	72	9	𝔡	𝔡	NOUN
cana-1625	72	10	∈	∈	PROPN
cana-1625	72	11	(	(	PUNCT
cana-1625	72	12	0	0	NUM
cana-1625	72	13	,	,	PUNCT
cana-1625	72	14	1	1	NUM
cana-1625	72	15	)	)	PUNCT
cana-1625	72	16	,	,	PUNCT
cana-1625	72	17	for	for	ADP
cana-1625	72	18	all	all	DET
cana-1625	72	19	𝜚	𝜚	NOUN
cana-1625	72	20	>	>	X
cana-1625	72	21	0	0	NUM
cana-1625	72	22	,	,	PUNCT
cana-1625	72	23	then	then	ADV
cana-1625	72	24	𝔨	𝔨	PROPN
cana-1625	72	25	=	=	SYM
cana-1625	72	26	𝜍̃.	𝜍̃.	NOUN
cana-1625	72	27	proof	proof	NOUN
cana-1625	72	28	:	:	PUNCT
cana-1625	72	29	suppose	suppose	VERB
cana-1625	72	30	there	there	PRON
cana-1625	72	31	exists	exist	VERB
cana-1625	72	32	𝔡	𝔡	X
cana-1625	72	33	∈	∈	PROPN
cana-1625	72	34	(	(	PUNCT
cana-1625	72	35	0	0	NUM
cana-1625	72	36	,	,	PUNCT
cana-1625	72	37	1	1	NUM
cana-1625	72	38	)	)	PUNCT
cana-1625	72	39	,	,	PUNCT
cana-1625	72	40	such	such	ADJ
cana-1625	72	41	that	that	SCONJ
cana-1625	72	42	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	72	43	,	,	PUNCT
cana-1625	72	44	𝜍̃	𝜍̃	PROPN
cana-1625	72	45	,	,	PUNCT
cana-1625	72	46	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	72	47	)	)	PUNCT
cana-1625	72	48	≥	≥	NOUN
cana-1625	72	49	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	72	50	,	,	PUNCT
cana-1625	72	51	𝜍̃	𝜍̃	PROPN
cana-1625	72	52	,	,	PUNCT
cana-1625	72	53	𝜚),𝔖(𝔨	𝜚),𝔖(𝔨	NOUN
cana-1625	72	54	,	,	PUNCT
cana-1625	72	55	𝜍̃	𝜍̃	PROPN
cana-1625	72	56	,	,	PUNCT
cana-1625	72	57	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	72	58	)	)	PUNCT
cana-1625	72	59	≤	≤	NOUN
cana-1625	72	60	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	72	61	,	,	PUNCT
cana-1625	72	62	𝜍̃	𝜍̃	PROPN
cana-1625	72	63	,	,	PUNCT
cana-1625	72	64	𝜚	𝜚	NOUN
cana-1625	72	65	)	)	PUNCT
cana-1625	72	66	and	and	CCONJ
cana-1625	72	67	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	72	68	,	,	PUNCT
cana-1625	72	69	𝜍̃	𝜍̃	PROPN
cana-1625	72	70	,	,	PUNCT
cana-1625	72	71	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	72	72	)	)	PUNCT
cana-1625	72	73	≤	≤	PUNCT
cana-1625	73	1	𝔗(𝔨	𝔗(𝔨	X
cana-1625	73	2	,	,	PUNCT
cana-1625	73	3	𝜍̃	𝜍̃	PROPN
cana-1625	73	4	,	,	PUNCT
cana-1625	73	5	𝜚	𝜚	NOUN
cana-1625	73	6	)	)	PUNCT
cana-1625	73	7	,	,	PUNCT
cana-1625	73	8	for	for	ADP
cana-1625	73	9	all	all	DET
cana-1625	73	10	𝔨	𝔨	PROPN
cana-1625	73	11	,	,	PUNCT
cana-1625	73	12	𝜍̃	𝜍̃	PROPN
cana-1625	73	13	∈	∈	PROPN
cana-1625	73	14	ξ	ξ	PROPN
cana-1625	73	15	and	and	CCONJ
cana-1625	73	16	𝜚	𝜚	X
cana-1625	73	17	>	>	X
cana-1625	73	18	0	0	X
cana-1625	73	19	.	.	PUNCT
cana-1625	74	1	so	so	ADV
cana-1625	74	2	that	that	PRON
cana-1625	74	3	ℜ(𝔨	ℜ(𝔨	VERB
cana-1625	74	4	,	,	PUNCT
cana-1625	74	5	𝜍̃	𝜍̃	PROPN
cana-1625	74	6	,	,	PUNCT
cana-1625	74	7	𝜚	𝜚	NOUN
cana-1625	74	8	)	)	PUNCT
cana-1625	74	9	≥	≥	NOUN
cana-1625	74	10	ℜ	ℜ	PROPN
cana-1625	74	11	(	(	PUNCT
cana-1625	74	12	𝔨	𝔨	PROPN
cana-1625	74	13	,	,	PUNCT
cana-1625	74	14	𝜍̃	𝜍̃	PROPN
cana-1625	74	15	,	,	PUNCT
cana-1625	74	16	𝜚	𝜚	NOUN
cana-1625	74	17	𝔡	𝔡	NOUN
cana-1625	74	18	)	)	PUNCT
cana-1625	74	19	,	,	PUNCT
cana-1625	74	20	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	74	21	,	,	PUNCT
cana-1625	74	22	𝜍̃	𝜍̃	PROPN
cana-1625	74	23	,	,	PUNCT
cana-1625	74	24	𝜚	𝜚	NOUN
cana-1625	74	25	)	)	PUNCT
cana-1625	74	26	≤	≤	NOUN
cana-1625	74	27	𝔖	𝔖	PROPN
cana-1625	74	28	(	(	PUNCT
cana-1625	74	29	𝔨	𝔨	PROPN
cana-1625	74	30	,	,	PUNCT
cana-1625	74	31	𝜍̃	𝜍̃	PROPN
cana-1625	74	32	,	,	PUNCT
cana-1625	74	33	𝜚	𝜚	NOUN
cana-1625	74	34	𝔡	𝔡	NOUN
cana-1625	74	35	)	)	PUNCT
cana-1625	74	36	and	and	CCONJ
cana-1625	74	37	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	74	38	,	,	PUNCT
cana-1625	74	39	𝜍̃	𝜍̃	PROPN
cana-1625	74	40	,	,	PUNCT
cana-1625	74	41	𝜚	𝜚	NOUN
cana-1625	74	42	)	)	PUNCT
cana-1625	74	43	≤	≤	NOUN
cana-1625	74	44	𝔗	𝔗	PROPN
cana-1625	74	45	(	(	PUNCT
cana-1625	74	46	𝔨	𝔨	PROPN
cana-1625	74	47	,	,	PUNCT
cana-1625	74	48	𝜍̃	𝜍̃	PROPN
cana-1625	74	49	,	,	PUNCT
cana-1625	74	50	𝜚	𝜚	NOUN
cana-1625	74	51	𝔡	𝔡	NOUN
cana-1625	74	52	)	)	PUNCT
cana-1625	74	53	.	.	PUNCT
cana-1625	75	1	repeated	repeat	VERB
cana-1625	75	2	application	application	NOUN
cana-1625	75	3	gives	give	VERB
cana-1625	75	4	,	,	PUNCT
cana-1625	75	5	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	75	6	,	,	PUNCT
cana-1625	75	7	𝜍̃	𝜍̃	PROPN
cana-1625	75	8	,	,	PUNCT
cana-1625	75	9	𝜚	𝜚	NOUN
cana-1625	75	10	)	)	PUNCT
cana-1625	75	11	≥	≥	NOUN
cana-1625	76	1	ℜ	ℜ	PROPN
cana-1625	76	2	(	(	PUNCT
cana-1625	76	3	𝔨	𝔨	PROPN
cana-1625	76	4	,	,	PUNCT
cana-1625	76	5	𝜍̃	𝜍̃	PROPN
cana-1625	76	6	,	,	PUNCT
cana-1625	76	7	𝜚	𝜚	NOUN
cana-1625	76	8	𝔡𝑛	𝔡𝑛	NOUN
cana-1625	76	9	)	)	PUNCT
cana-1625	76	10	,	,	PUNCT
cana-1625	76	11	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	76	12	,	,	PUNCT
cana-1625	76	13	𝜍̃	𝜍̃	PROPN
cana-1625	76	14	,	,	PUNCT
cana-1625	76	15	𝜚	𝜚	NOUN
cana-1625	76	16	)	)	PUNCT
cana-1625	76	17	≤	≤	NOUN
cana-1625	76	18	𝔖	𝔖	PROPN
cana-1625	76	19	(	(	PUNCT
cana-1625	76	20	𝔨	𝔨	PROPN
cana-1625	76	21	,	,	PUNCT
cana-1625	76	22	𝜍̃	𝜍̃	PROPN
cana-1625	76	23	,	,	PUNCT
cana-1625	76	24	𝜚	𝜚	NOUN
cana-1625	76	25	𝔡𝑛	𝔡𝑛	NOUN
cana-1625	76	26	)	)	PUNCT
cana-1625	76	27	and𝔗(𝔨	and𝔗(𝔨	NOUN
cana-1625	76	28	,	,	PUNCT
cana-1625	76	29	𝜍̃	𝜍̃	PROPN
cana-1625	76	30	,	,	PUNCT
cana-1625	76	31	𝜚	𝜚	NOUN
cana-1625	76	32	)	)	PUNCT
cana-1625	76	33	≤	≤	NOUN
cana-1625	76	34	𝔗	𝔗	PROPN
cana-1625	76	35	(	(	PUNCT
cana-1625	76	36	𝔨	𝔨	PROPN
cana-1625	76	37	,	,	PUNCT
cana-1625	76	38	𝜍̃	𝜍̃	PROPN
cana-1625	76	39	,	,	PUNCT
cana-1625	76	40	𝜚	𝜚	NOUN
cana-1625	76	41	𝔡𝑛	𝔡𝑛	NOUN
cana-1625	76	42	)	)	PUNCT
cana-1625	76	43	for	for	ADP
cana-1625	76	44	some	some	DET
cana-1625	76	45	positive	positive	ADJ
cana-1625	76	46	integer	integer	NOUN
cana-1625	76	47	n.	n.	NOUN
cana-1625	76	48	on	on	ADP
cana-1625	76	49	taking	take	VERB
cana-1625	76	50	𝑛	𝑛	PRON
cana-1625	76	51	→	→	SYM
cana-1625	76	52	∞	∞	PROPN
cana-1625	76	53	,	,	PUNCT
cana-1625	76	54	reduces	reduce	VERB
cana-1625	76	55	to	to	ADP
cana-1625	76	56	ℜ(𝔨	ℜ(𝔨	PRON
cana-1625	76	57	,	,	PUNCT
cana-1625	76	58	𝜍̃	𝜍̃	PROPN
cana-1625	76	59	,	,	PUNCT
cana-1625	76	60	𝜚	𝜚	NOUN
cana-1625	76	61	)	)	PUNCT
cana-1625	76	62	≥	≥	NOUN
cana-1625	76	63	1	1	NUM
cana-1625	76	64	and	and	CCONJ
cana-1625	76	65	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	76	66	,	,	PUNCT
cana-1625	76	67	𝜍̃	𝜍̃	PROPN
cana-1625	76	68	,	,	PUNCT
cana-1625	76	69	𝜚	𝜚	NOUN
cana-1625	76	70	)	)	PUNCT
cana-1625	76	71	≤	≤	NOUN
cana-1625	76	72	0	0	NUM
cana-1625	77	1	and	and	CCONJ
cana-1625	77	2	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	77	3	,	,	PUNCT
cana-1625	77	4	𝜍̃	𝜍̃	PROPN
cana-1625	77	5	,	,	PUNCT
cana-1625	77	6	𝜚	𝜚	NOUN
cana-1625	77	7	)	)	PUNCT
cana-1625	77	8	≤	≤	NOUN
cana-1625	77	9	0	0	NUM
cana-1625	77	10	.	.	PUNCT
cana-1625	78	1	thus	thus	ADV
cana-1625	78	2	,	,	PUNCT
cana-1625	78	3	we	we	PRON
cana-1625	78	4	have	have	VERB
cana-1625	78	5	𝔨	𝔨	PROPN
cana-1625	78	6	=	=	SYM
cana-1625	78	7	𝜍̃.	𝜍̃.	ADJ
cana-1625	78	8	lemma	lemma	PROPN
cana-1625	78	9	2.10	2.10	NUM
cana-1625	78	10	:	:	PUNCT
cana-1625	78	11	let	let	VERB
cana-1625	78	12	{	{	PUNCT
cana-1625	78	13	𝔨𝑛	𝔨𝑛	AUX
cana-1625	78	14	}	}	PUNCT
cana-1625	78	15	be	be	AUX
cana-1625	78	16	a	a	DET
cana-1625	78	17	sequence	sequence	NOUN
cana-1625	78	18	in	in	ADP
cana-1625	78	19	a	a	DET
cana-1625	78	20	nms	nms	NOUN
cana-1625	78	21	,	,	PUNCT
cana-1625	78	22	(	(	PUNCT
cana-1625	78	23	ξ	ξ	X
cana-1625	78	24	,	,	PUNCT
cana-1625	78	25	ℜ	ℜ	PROPN
cana-1625	78	26	,	,	PUNCT
cana-1625	78	27	𝔖	𝔖	PROPN
cana-1625	78	28	,	,	PUNCT
cana-1625	78	29	𝔗,∗	𝔗,∗	PROPN
cana-1625	78	30	,	,	PUNCT
cana-1625	78	31	⨀	⨀	PROPN
cana-1625	78	32	)	)	PUNCT
cana-1625	78	33	with	with	ADP
cana-1625	78	34	lim	lim	PROPN
cana-1625	78	35	𝜚→∞	𝜚→∞	X
cana-1625	78	36	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	78	37	,	,	PUNCT
cana-1625	78	38	𝜍̃	𝜍̃	PROPN
cana-1625	78	39	,	,	PUNCT
cana-1625	78	40	𝜚	𝜚	NOUN
cana-1625	78	41	)	)	PUNCT
cana-1625	79	1	=	=	SYM
cana-1625	79	2	1	1	NUM
cana-1625	79	3	,	,	PUNCT
cana-1625	79	4	lim	lim	PROPN
cana-1625	79	5	𝜚→∞	𝜚→∞	X
cana-1625	79	6	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	79	7	,	,	PUNCT
cana-1625	79	8	𝜍̃	𝜍̃	PROPN
cana-1625	79	9	,	,	PUNCT
cana-1625	79	10	𝜚	𝜚	NOUN
cana-1625	79	11	)	)	PUNCT
cana-1625	79	12	=	=	SYM
cana-1625	79	13	0	0	PUNCT
cana-1625	79	14	and	and	CCONJ
cana-1625	79	15	lim	lim	PROPN
cana-1625	79	16	𝜚→∞	𝜚→∞	X
cana-1625	79	17	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	79	18	,	,	PUNCT
cana-1625	79	19	𝜍̃	𝜍̃	PROPN
cana-1625	79	20	,	,	PUNCT
cana-1625	79	21	𝜚	𝜚	NOUN
cana-1625	79	22	)	)	PUNCT
cana-1625	79	23	=	=	SYM
cana-1625	79	24	0	0	NUM
cana-1625	79	25	,	,	PUNCT
cana-1625	80	1	for	for	ADP
cana-1625	80	2	all	all	DET
cana-1625	80	3	𝔨	𝔨	PROPN
cana-1625	80	4	,	,	PUNCT
cana-1625	80	5	𝜍̃	𝜍̃	PROPN
cana-1625	80	6	∈	∈	PROPN
cana-1625	80	7	ξ	ξ	X
cana-1625	80	8	.	.	PUNCT
cana-1625	81	1	if	if	SCONJ
cana-1625	81	2	there	there	PRON
cana-1625	81	3	exists	exist	VERB
cana-1625	81	4	𝔡	𝔡	X
cana-1625	81	5	∈	∈	PROPN
cana-1625	81	6	(	(	PUNCT
cana-1625	81	7	0	0	NUM
cana-1625	81	8	,	,	PUNCT
cana-1625	81	9	1	1	NUM
cana-1625	81	10	)	)	PUNCT
cana-1625	81	11	such	such	ADJ
cana-1625	81	12	that	that	DET
cana-1625	81	13	ℜ(𝔨𝑛+1	ℜ(𝔨𝑛+1	PROPN
cana-1625	81	14	,	,	PUNCT
cana-1625	81	15	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	81	16	,	,	PUNCT
cana-1625	81	17	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	81	18	)	)	PUNCT
cana-1625	81	19	≥	≥	NOUN
cana-1625	81	20	ℜ(𝔨𝑛	ℜ(𝔨𝑛	PROPN
cana-1625	81	21	,	,	PUNCT
cana-1625	81	22	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	81	23	,	,	PUNCT
cana-1625	81	24	𝜚),𝔖(𝔨𝑛+1	𝜚),𝔖(𝔨𝑛+1	PROPN
cana-1625	81	25	,	,	PUNCT
cana-1625	81	26	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	81	27	,	,	PUNCT
cana-1625	81	28	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	81	29	)	)	PUNCT
cana-1625	81	30	≤	≤	NOUN
cana-1625	81	31	𝔖(𝔨𝑛	𝔖(𝔨𝑛	NUM
cana-1625	81	32	,	,	PUNCT
cana-1625	81	33	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	81	34	,	,	PUNCT
cana-1625	81	35	𝜚	𝜚	NOUN
cana-1625	81	36	)	)	PUNCT
cana-1625	81	37	and	and	CCONJ
cana-1625	81	38	𝔗(𝔨𝑛+1	𝔗(𝔨𝑛+1	PROPN
cana-1625	81	39	,	,	PUNCT
cana-1625	81	40	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	81	41	,	,	PUNCT
cana-1625	81	42	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	81	43	)	)	PUNCT
cana-1625	81	44	≤	≤	NOUN
cana-1625	81	45	𝔗(𝔨𝑛	𝔗(𝔨𝑛	VERB
cana-1625	81	46	,	,	PUNCT
cana-1625	81	47	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	81	48	,	,	PUNCT
cana-1625	81	49	𝜚	𝜚	NOUN
cana-1625	81	50	)	)	PUNCT
cana-1625	81	51	for	for	ADP
cana-1625	81	52	all	all	DET
cana-1625	81	53	𝜚	𝜚	NOUN
cana-1625	81	54	>	>	X
cana-1625	81	55	0	0	PUNCT
cana-1625	81	56	and	and	CCONJ
cana-1625	81	57	n	n	CCONJ
cana-1625	81	58	=	=	ADJ
cana-1625	81	59	0,1,2	0,1,2	NUM
cana-1625	81	60	....	....	PUNCT
cana-1625	81	61	then{𝔨𝑛	then{𝔨𝑛	NOUN
cana-1625	81	62	}	}	PUNCT
cana-1625	81	63	is	be	AUX
cana-1625	81	64	a	a	DET
cana-1625	81	65	cauchy	cauchy	ADJ
cana-1625	81	66	sequence	sequence	NOUN
cana-1625	81	67	in	in	ADP
cana-1625	81	68	ξ	ξ	PROPN
cana-1625	81	69	.	.	PUNCT
cana-1625	82	1	communications	communication	NOUN
cana-1625	82	2	on	on	ADP
cana-1625	82	3	applied	apply	VERB
cana-1625	82	4	nonlinear	nonlinear	ADJ
cana-1625	82	5	analysis	analysis	NOUN
cana-1625	82	6	issn	issn	NOUN
cana-1625	82	7	:	:	PUNCT
cana-1625	82	8	1074	1074	NUM
cana-1625	82	9	-	-	PUNCT
cana-1625	82	10	133x	133x	NUM
cana-1625	82	11	vol	vol	NOUN
cana-1625	82	12	32	32	NUM
cana-1625	82	13	no	no	NOUN
cana-1625	82	14	.	.	NOUN
cana-1625	82	15	1	1	NUM
cana-1625	82	16	(	(	PUNCT
cana-1625	82	17	2025	2025	NUM
cana-1625	82	18	)	)	PUNCT
cana-1625	82	19	116	116	NUM
cana-1625	83	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	83	2	proof	proof	NOUN
cana-1625	83	3	:	:	PUNCT
cana-1625	83	4	for	for	ADP
cana-1625	83	5	n	n	NOUN
cana-1625	83	6	=	=	SYM
cana-1625	83	7	0	0	NUM
cana-1625	83	8	,	,	PUNCT
cana-1625	83	9	we	we	PRON
cana-1625	83	10	have	have	VERB
cana-1625	83	11	ℜ(𝔨1	ℜ(𝔨1	PROPN
cana-1625	83	12	,	,	PUNCT
cana-1625	83	13	𝔨2	𝔨2	NOUN
cana-1625	83	14	,	,	PUNCT
cana-1625	83	15	𝜚	𝜚	NOUN
cana-1625	83	16	)	)	PUNCT
cana-1625	83	17	≥	≥	NOUN
cana-1625	83	18	ℜ	ℜ	PROPN
cana-1625	83	19	(	(	PUNCT
cana-1625	83	20	𝔨0	𝔨0	NOUN
cana-1625	83	21	,	,	PUNCT
cana-1625	83	22	𝔨1	𝔨1	PROPN
cana-1625	83	23	,	,	PUNCT
cana-1625	83	24	𝜚	𝜚	NOUN
cana-1625	83	25	𝔡	𝔡	NOUN
cana-1625	83	26	)	)	PUNCT
cana-1625	83	27	,	,	PUNCT
cana-1625	83	28	𝔖(𝔨1	𝔖(𝔨1	NUM
cana-1625	83	29	,	,	PUNCT
cana-1625	83	30	𝔨2	𝔨2	NOUN
cana-1625	83	31	,	,	PUNCT
cana-1625	83	32	𝜚	𝜚	NOUN
cana-1625	83	33	)	)	PUNCT
cana-1625	83	34	≤	≤	NOUN
cana-1625	83	35	𝔖	𝔖	PROPN
cana-1625	83	36	(	(	PUNCT
cana-1625	83	37	𝔨0	𝔨0	NOUN
cana-1625	83	38	,	,	PUNCT
cana-1625	83	39	𝔨1	𝔨1	PROPN
cana-1625	83	40	,	,	PUNCT
cana-1625	83	41	𝜚	𝜚	NOUN
cana-1625	83	42	𝔡	𝔡	NOUN
cana-1625	83	43	)	)	PUNCT
cana-1625	83	44	and	and	CCONJ
cana-1625	83	45	𝔗(𝔨1	𝔗(𝔨1	PROPN
cana-1625	83	46	,	,	PUNCT
cana-1625	83	47	𝔨2	𝔨2	NOUN
cana-1625	83	48	,	,	PUNCT
cana-1625	83	49	𝜚	𝜚	NOUN
cana-1625	83	50	)	)	PUNCT
cana-1625	83	51	≤	≤	NOUN
cana-1625	83	52	𝔗	𝔗	PROPN
cana-1625	83	53	(	(	PUNCT
cana-1625	83	54	𝔨0	𝔨0	NOUN
cana-1625	83	55	,	,	PUNCT
cana-1625	83	56	𝔨1	𝔨1	PROPN
cana-1625	83	57	,	,	PUNCT
cana-1625	83	58	𝜚	𝜚	NOUN
cana-1625	83	59	𝔡	𝔡	NOUN
cana-1625	83	60	)	)	PUNCT
cana-1625	83	61	,	,	PUNCT
cana-1625	83	62	for	for	ADP
cana-1625	83	63	all	all	DET
cana-1625	83	64	𝜚	𝜚	NOUN
cana-1625	83	65	>	>	X
cana-1625	83	66	0	0	PUNCT
cana-1625	83	67	and	and	CCONJ
cana-1625	83	68	𝔡	𝔡	ADV
cana-1625	83	69	∈	∈	PROPN
cana-1625	83	70	(	(	PUNCT
cana-1625	83	71	0	0	NUM
cana-1625	83	72	,	,	PUNCT
cana-1625	83	73	1	1	NUM
cana-1625	83	74	)	)	PUNCT
cana-1625	83	75	.	.	PUNCT
cana-1625	84	1	by	by	ADP
cana-1625	84	2	induction	induction	NOUN
cana-1625	84	3	,	,	PUNCT
cana-1625	84	4	ℜ(𝔨𝑛+1	ℜ(𝔨𝑛+1	PROPN
cana-1625	84	5	,	,	PUNCT
cana-1625	84	6	𝔨𝑛+2	𝔨𝑛+2	PROPN
cana-1625	84	7	,	,	PUNCT
cana-1625	84	8	𝜚	𝜚	NOUN
cana-1625	84	9	)	)	PUNCT
cana-1625	84	10	≥	≥	NOUN
cana-1625	84	11	ℜ	ℜ	PROPN
cana-1625	84	12	(	(	PUNCT
cana-1625	84	13	𝔨0	𝔨0	NOUN
cana-1625	84	14	,	,	PUNCT
cana-1625	84	15	𝔨1	𝔨1	PROPN
cana-1625	84	16	,	,	PUNCT
cana-1625	84	17	𝜚	𝜚	NOUN
cana-1625	84	18	𝔡𝑛+1	𝔡𝑛+1	NOUN
cana-1625	84	19	)	)	PUNCT
cana-1625	84	20	,	,	PUNCT
cana-1625	84	21	𝔖(𝔨𝑛+1	𝔖(𝔨𝑛+1	PROPN
cana-1625	84	22	,	,	PUNCT
cana-1625	84	23	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	84	24	,	,	PUNCT
cana-1625	84	25	𝜚	𝜚	NOUN
cana-1625	84	26	)	)	PUNCT
cana-1625	84	27	≤	≤	NOUN
cana-1625	84	28	𝔖	𝔖	PROPN
cana-1625	84	29	(	(	PUNCT
cana-1625	84	30	𝔨0	𝔨0	NOUN
cana-1625	84	31	,	,	PUNCT
cana-1625	84	32	𝔨1	𝔨1	PROPN
cana-1625	84	33	,	,	PUNCT
cana-1625	84	34	𝜚	𝜚	NOUN
cana-1625	84	35	𝔡𝑛+1	𝔡𝑛+1	NOUN
cana-1625	84	36	)	)	PUNCT
cana-1625	84	37	and	and	CCONJ
cana-1625	84	38	𝔗(𝔨𝑛+1	𝔗(𝔨𝑛+1	PROPN
cana-1625	84	39	,	,	PUNCT
cana-1625	84	40	𝔨𝑛+2	𝔨𝑛+2	PROPN
cana-1625	84	41	,	,	PUNCT
cana-1625	84	42	𝜚	𝜚	NOUN
cana-1625	84	43	)	)	PUNCT
cana-1625	84	44	≤	≤	NOUN
cana-1625	84	45	𝔗	𝔗	PROPN
cana-1625	84	46	(	(	PUNCT
cana-1625	84	47	𝔨0	𝔨0	NOUN
cana-1625	84	48	,	,	PUNCT
cana-1625	84	49	𝔨1	𝔨1	PROPN
cana-1625	84	50	,	,	PUNCT
cana-1625	84	51	𝜚	𝜚	NOUN
cana-1625	84	52	𝔡𝑛+1	𝔡𝑛+1	NOUN
cana-1625	84	53	)	)	PUNCT
cana-1625	84	54	,	,	PUNCT
cana-1625	84	55	for	for	ADP
cana-1625	84	56	all	all	DET
cana-1625	84	57	n.	n.	NOUN
cana-1625	84	58	thus	thus	ADV
cana-1625	84	59	for	for	ADP
cana-1625	84	60	any	any	DET
cana-1625	84	61	positive	positive	ADJ
cana-1625	84	62	integer	integer	NOUN
cana-1625	84	63	𝔮	𝔮	PROPN
cana-1625	84	64	and	and	CCONJ
cana-1625	84	65	using	use	VERB
cana-1625	84	66	(	(	PUNCT
cana-1625	84	67	6	6	NUM
cana-1625	84	68	)	)	PUNCT
cana-1625	84	69	,	,	PUNCT
cana-1625	84	70	(	(	PUNCT
cana-1625	84	71	11	11	NUM
cana-1625	84	72	)	)	PUNCT
cana-1625	84	73	and	and	CCONJ
cana-1625	84	74	(	(	PUNCT
cana-1625	84	75	16	16	NUM
cana-1625	84	76	)	)	PUNCT
cana-1625	84	77	,	,	PUNCT
cana-1625	84	78	we	we	PRON
cana-1625	84	79	have	have	VERB
cana-1625	84	80	ℜ(𝔨𝑛	ℜ(𝔨𝑛	NOUN
cana-1625	84	81	,	,	PUNCT
cana-1625	84	82	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	84	83	,	,	PUNCT
cana-1625	84	84	𝜚	𝜚	NOUN
cana-1625	84	85	)	)	PUNCT
cana-1625	84	86	≥	≥	NOUN
cana-1625	84	87	ℜ	ℜ	PROPN
cana-1625	84	88	(	(	PUNCT
cana-1625	84	89	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	84	90	,	,	PUNCT
cana-1625	84	91	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	84	92	,	,	PUNCT
cana-1625	84	93	𝜚	𝜚	NOUN
cana-1625	84	94	𝔮	𝔮	NOUN
cana-1625	84	95	)	)	PUNCT
cana-1625	84	96	∗	∗	NOUN
cana-1625	84	97	…	…	PUNCT
cana-1625	84	98	∗	∗	NOUN
cana-1625	84	99	(	(	PUNCT
cana-1625	84	100	𝔮	𝔮	NOUN
cana-1625	84	101	𝑡𝑖𝑚𝑒𝑠	𝑡𝑖𝑚𝑒𝑠	NOUN
cana-1625	84	102	)	)	PUNCT
cana-1625	84	103	∗	∗	NOUN
cana-1625	84	104	…	…	PUNCT
cana-1625	84	105	∗	∗	NOUN
cana-1625	84	106	ℜ	ℜ	NOUN
cana-1625	84	107	(	(	PUNCT
cana-1625	84	108	𝔨𝑛+𝔮−1	𝔨𝑛+𝔮−1	NOUN
cana-1625	84	109	,	,	PUNCT
cana-1625	84	110	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	84	111	,	,	PUNCT
cana-1625	84	112	𝜚	𝜚	NOUN
cana-1625	84	113	𝔮	𝔮	X
cana-1625	84	114	)	)	PUNCT
cana-1625	84	115	≥	≥	X
cana-1625	84	116	ℜ	ℜ	PROPN
cana-1625	84	117	(	(	PUNCT
cana-1625	84	118	𝔨0	𝔨0	NOUN
cana-1625	84	119	,	,	PUNCT
cana-1625	84	120	𝔨1	𝔨1	PROPN
cana-1625	84	121	,	,	PUNCT
cana-1625	84	122	𝜚	𝜚	NOUN
cana-1625	84	123	𝔮𝔡𝑛	𝔮𝔡𝑛	NOUN
cana-1625	84	124	)	)	PUNCT
cana-1625	84	125	∗	∗	NOUN
cana-1625	84	126	…	…	PUNCT
cana-1625	84	127	∗	∗	NOUN
cana-1625	84	128	(	(	PUNCT
cana-1625	84	129	𝔮	𝔮	NOUN
cana-1625	84	130	𝑡𝑖𝑚𝑒𝑠	𝑡𝑖𝑚𝑒𝑠	NOUN
cana-1625	84	131	)	)	PUNCT
cana-1625	84	132	∗	∗	NOUN
cana-1625	84	133	…	…	PUNCT
cana-1625	84	134	∗	∗	NOUN
cana-1625	84	135	ℜ	ℜ	NOUN
cana-1625	84	136	(	(	PUNCT
cana-1625	84	137	𝔨0	𝔨0	NOUN
cana-1625	84	138	,	,	PUNCT
cana-1625	84	139	𝔨1	𝔨1	PROPN
cana-1625	84	140	,	,	PUNCT
cana-1625	84	141	𝜚	𝜚	NOUN
cana-1625	84	142	𝔮𝔡𝑛+𝔮−1	𝔮𝔡𝑛+𝔮−1	NOUN
cana-1625	84	143	)	)	PUNCT
cana-1625	84	144	.	.	PUNCT
cana-1625	85	1	𝔖(𝔨𝑛	𝔖(𝔨𝑛	NUM
cana-1625	85	2	,	,	PUNCT
cana-1625	85	3	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	85	4	,	,	PUNCT
cana-1625	85	5	𝜚	𝜚	NOUN
cana-1625	85	6	)	)	PUNCT
cana-1625	85	7	≤	≤	NOUN
cana-1625	85	8	𝔖	𝔖	PROPN
cana-1625	85	9	(	(	PUNCT
cana-1625	85	10	𝔨𝑛	𝔨𝑛	PROPN
cana-1625	85	11	,	,	PUNCT
cana-1625	85	12	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	85	13	,	,	PUNCT
cana-1625	85	14	𝜚	𝜚	NOUN
cana-1625	85	15	𝔮	𝔮	X
cana-1625	85	16	)	)	PUNCT
cana-1625	86	1	⨀	⨀	NOUN
cana-1625	86	2	…	…	PUNCT
cana-1625	86	3	⨀(𝔮	⨀(𝔮	NUM
cana-1625	86	4	𝑡𝑖𝑚𝑒𝑠)⨀	𝑡𝑖𝑚𝑒𝑠)⨀	ADJ
cana-1625	86	5	…	…	PUNCT
cana-1625	86	6	⨀𝔖	⨀𝔖	NUM
cana-1625	86	7	(	(	PUNCT
cana-1625	86	8	𝔨𝑛+𝔮−1	𝔨𝑛+𝔮−1	NOUN
cana-1625	86	9	,	,	PUNCT
cana-1625	86	10	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	86	11	,	,	PUNCT
cana-1625	86	12	𝜚	𝜚	NOUN
cana-1625	86	13	𝔮	𝔮	X
cana-1625	86	14	)	)	PUNCT
cana-1625	86	15	≤	≤	NOUN
cana-1625	86	16	𝔖	𝔖	PROPN
cana-1625	86	17	(	(	PUNCT
cana-1625	86	18	𝔨0	𝔨0	NOUN
cana-1625	86	19	,	,	PUNCT
cana-1625	86	20	𝔨1	𝔨1	PROPN
cana-1625	86	21	,	,	PUNCT
cana-1625	86	22	𝜚	𝜚	NOUN
cana-1625	86	23	𝔮𝔡𝑛	𝔮𝔡𝑛	NOUN
cana-1625	86	24	)	)	PUNCT
cana-1625	87	1	⨀	⨀	NOUN
cana-1625	87	2	…	…	PUNCT
cana-1625	87	3	⨀(𝔮	⨀(𝔮	NUM
cana-1625	87	4	𝑡𝑖𝑚𝑒𝑠)⨀	𝑡𝑖𝑚𝑒𝑠)⨀	ADJ
cana-1625	87	5	…	…	PUNCT
cana-1625	87	6	⨀𝔖	⨀𝔖	NUM
cana-1625	87	7	(	(	PUNCT
cana-1625	87	8	𝔨0	𝔨0	NOUN
cana-1625	87	9	,	,	PUNCT
cana-1625	87	10	𝔨1	𝔨1	PROPN
cana-1625	87	11	,	,	PUNCT
cana-1625	87	12	𝜚	𝜚	NOUN
cana-1625	87	13	𝔮𝔡𝑛+𝔮−1	𝔮𝔡𝑛+𝔮−1	NOUN
cana-1625	87	14	)	)	PUNCT
cana-1625	87	15	.	.	PUNCT
cana-1625	88	1	𝔗(𝔨𝑛	𝔗(𝔨𝑛	ADV
cana-1625	88	2	,	,	PUNCT
cana-1625	88	3	𝔨𝑛+𝔮	𝔨𝑛+𝔮	PROPN
cana-1625	88	4	,	,	PUNCT
cana-1625	88	5	𝜚	𝜚	NOUN
cana-1625	88	6	)	)	PUNCT
cana-1625	88	7	≤	≤	NOUN
cana-1625	88	8	𝔗	𝔗	PROPN
cana-1625	88	9	(	(	PUNCT
cana-1625	88	10	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	88	11	,	,	PUNCT
cana-1625	88	12	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	88	13	,	,	PUNCT
cana-1625	88	14	𝜚	𝜚	NOUN
cana-1625	88	15	𝔮	𝔮	X
cana-1625	88	16	)	)	PUNCT
cana-1625	89	1	⨀	⨀	NOUN
cana-1625	89	2	…	…	PUNCT
cana-1625	89	3	⨀(𝔮	⨀(𝔮	NUM
cana-1625	89	4	𝑡𝑖𝑚𝑒𝑠)⨀	𝑡𝑖𝑚𝑒𝑠)⨀	ADJ
cana-1625	89	5	…	…	PUNCT
cana-1625	89	6	⨀𝔗	⨀𝔗	PROPN
cana-1625	89	7	(	(	PUNCT
cana-1625	89	8	𝔨𝑛+𝔮−1	𝔨𝑛+𝔮−1	NOUN
cana-1625	89	9	,	,	PUNCT
cana-1625	89	10	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	89	11	,	,	PUNCT
cana-1625	89	12	𝜚	𝜚	NOUN
cana-1625	89	13	𝔮	𝔮	X
cana-1625	89	14	)	)	PUNCT
cana-1625	89	15	≤	≤	NOUN
cana-1625	89	16	𝔗	𝔗	PROPN
cana-1625	89	17	(	(	PUNCT
cana-1625	89	18	𝔨0	𝔨0	NOUN
cana-1625	89	19	,	,	PUNCT
cana-1625	89	20	𝔨1	𝔨1	PROPN
cana-1625	89	21	,	,	PUNCT
cana-1625	89	22	𝜚	𝜚	NOUN
cana-1625	89	23	𝔮𝔡𝑛	𝔮𝔡𝑛	NOUN
cana-1625	89	24	)	)	PUNCT
cana-1625	90	1	⨀	⨀	NOUN
cana-1625	90	2	…	…	PUNCT
cana-1625	90	3	⨀(𝔮	⨀(𝔮	NUM
cana-1625	90	4	𝑡𝑖𝑚𝑒𝑠)⨀	𝑡𝑖𝑚𝑒𝑠)⨀	ADJ
cana-1625	90	5	…	…	PUNCT
cana-1625	90	6	⨀𝔗	⨀𝔗	X
cana-1625	90	7	(	(	PUNCT
cana-1625	90	8	𝔨0	𝔨0	NOUN
cana-1625	90	9	,	,	PUNCT
cana-1625	90	10	𝔨1	𝔨1	PROPN
cana-1625	90	11	,	,	PUNCT
cana-1625	90	12	𝜚	𝜚	NOUN
cana-1625	90	13	𝔮𝔡𝑛+𝔮−1	𝔮𝔡𝑛+𝔮−1	NOUN
cana-1625	90	14	)	)	PUNCT
cana-1625	90	15	.	.	PUNCT
cana-1625	91	1	which	which	PRON
cana-1625	91	2	on	on	ADP
cana-1625	91	3	taking	take	VERB
cana-1625	91	4	𝑛	𝑛	PRON
cana-1625	91	5	→	→	SYM
cana-1625	91	6	∞	∞	PROPN
cana-1625	91	7	,	,	PUNCT
cana-1625	91	8	reduces	reduce	VERB
cana-1625	91	9	to	to	ADP
cana-1625	91	10	lim	lim	PROPN
cana-1625	91	11	𝜚→∞	𝜚→∞	NUM
cana-1625	91	12	ℜ(𝔨𝑛	ℜ(𝔨𝑛	PROPN
cana-1625	91	13	,	,	PUNCT
cana-1625	91	14	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	91	15	,	,	PUNCT
cana-1625	91	16	𝜚	𝜚	NOUN
cana-1625	91	17	)	)	PUNCT
cana-1625	91	18	≥	≥	NOUN
cana-1625	91	19	1	1	NUM
cana-1625	91	20	∗	∗	NOUN
cana-1625	91	21	1	1	NUM
cana-1625	91	22	∗	∗	NOUN
cana-1625	91	23	…	…	PUNCT
cana-1625	91	24	∗	∗	NOUN
cana-1625	91	25	1	1	NUM
cana-1625	91	26	,	,	PUNCT
cana-1625	91	27	lim	lim	NOUN
cana-1625	91	28	𝜚→∞	𝜚→∞	NOUN
cana-1625	91	29	𝔖(𝔨𝑛	𝔖(𝔨𝑛	NOUN
cana-1625	91	30	,	,	PUNCT
cana-1625	91	31	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	91	32	,	,	PUNCT
cana-1625	91	33	𝜚	𝜚	NOUN
cana-1625	91	34	)	)	PUNCT
cana-1625	91	35	≤	≤	NOUN
cana-1625	91	36	0	0	PUNCT
cana-1625	92	1	⨀	⨀	NOUN
cana-1625	92	2	…	…	PUNCT
cana-1625	92	3	⨀	⨀	NOUN
cana-1625	92	4	0	0	NUM
cana-1625	92	5	and	and	CCONJ
cana-1625	92	6	lim	lim	PROPN
cana-1625	92	7	𝜚→∞	𝜚→∞	PROPN
cana-1625	92	8	𝔗(𝔨𝑛	𝔗(𝔨𝑛	PART
cana-1625	92	9	,	,	PUNCT
cana-1625	92	10	𝔨𝑛+𝔮	𝔨𝑛+𝔮	PROPN
cana-1625	92	11	,	,	PUNCT
cana-1625	92	12	𝜚	𝜚	NOUN
cana-1625	92	13	)	)	PUNCT
cana-1625	92	14	≤	≤	NOUN
cana-1625	92	15	0	0	PUNCT
cana-1625	93	1	⨀	⨀	NOUN
cana-1625	93	2	…	…	PUNCT
cana-1625	93	3	⨀	⨀	NOUN
cana-1625	93	4	0	0	NUM
cana-1625	93	5	.	.	PUNCT
cana-1625	94	1	since	since	SCONJ
cana-1625	94	2	𝔡	𝔡	ADP
cana-1625	94	3	<	<	X
cana-1625	94	4	1	1	NUM
cana-1625	94	5	,	,	PUNCT
cana-1625	94	6	lim	lim	PROPN
cana-1625	94	7	𝜚→∞	𝜚→∞	PUNCT
cana-1625	94	8	ℜ(𝔨𝑛	ℜ(𝔨𝑛	PROPN
cana-1625	94	9	,	,	PUNCT
cana-1625	94	10	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	94	11	,	,	PUNCT
cana-1625	94	12	𝜚	𝜚	NOUN
cana-1625	94	13	)	)	PUNCT
cana-1625	94	14	≥	≥	NOUN
cana-1625	94	15	1	1	NUM
cana-1625	94	16	,	,	PUNCT
cana-1625	94	17	lim	lim	PROPN
cana-1625	94	18	𝜚→∞	𝜚→∞	PROPN
cana-1625	94	19	𝔗(𝔨𝑛	𝔗(𝔨𝑛	ADV
cana-1625	94	20	,	,	PUNCT
cana-1625	94	21	𝔨𝑛+𝔮	𝔨𝑛+𝔮	PROPN
cana-1625	94	22	,	,	PUNCT
cana-1625	94	23	𝜚	𝜚	NOUN
cana-1625	94	24	)	)	PUNCT
cana-1625	94	25	≤	≤	NOUN
cana-1625	94	26	0	0	NUM
cana-1625	95	1	and	and	CCONJ
cana-1625	95	2	lim	lim	PROPN
cana-1625	95	3	𝜚→∞	𝜚→∞	NOUN
cana-1625	95	4	𝔖(𝔨𝑛	𝔖(𝔨𝑛	NOUN
cana-1625	95	5	,	,	PUNCT
cana-1625	95	6	𝔨𝑛+𝔮	𝔨𝑛+𝔮	NOUN
cana-1625	95	7	,	,	PUNCT
cana-1625	95	8	𝜚	𝜚	NOUN
cana-1625	95	9	)	)	PUNCT
cana-1625	95	10	≤	≤	NOUN
cana-1625	95	11	0	0	NUM
cana-1625	95	12	.	.	PUNCT
cana-1625	96	1	this	this	PRON
cana-1625	96	2	necessitates	necessitate	VERB
cana-1625	96	3	that	that	SCONJ
cana-1625	96	4	{	{	PUNCT
cana-1625	96	5	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	96	6	}	}	PUNCT
cana-1625	96	7	is	be	AUX
cana-1625	96	8	a	a	DET
cana-1625	96	9	cauchy	cauchy	ADJ
cana-1625	96	10	sequence	sequence	NOUN
cana-1625	96	11	in	in	ADP
cana-1625	96	12	ξ	ξ	PROPN
cana-1625	96	13	3	3	NUM
cana-1625	96	14	.	.	PUNCT
cana-1625	96	15	main	main	ADJ
cana-1625	96	16	results	result	NOUN
cana-1625	96	17	in	in	ADP
cana-1625	96	18	this	this	DET
cana-1625	96	19	section	section	NOUN
cana-1625	96	20	,	,	PUNCT
cana-1625	96	21	we	we	PRON
cana-1625	96	22	present	present	VERB
cana-1625	96	23	the	the	DET
cana-1625	96	24	concept	concept	NOUN
cana-1625	96	25	of	of	ADP
cana-1625	96	26	nms	nms	NOUN
cana-1625	96	27	and	and	CCONJ
cana-1625	96	28	prove	prove	VERB
cana-1625	96	29	several	several	ADJ
cana-1625	96	30	fp	fp	NOUN
cana-1625	96	31	results	result	NOUN
cana-1625	96	32	.	.	PUNCT
cana-1625	97	1	theorem	theorem	VERB
cana-1625	97	2	3.1	3.1	NUM
cana-1625	97	3	:	:	PUNCT
cana-1625	97	4	let	let	VERB
cana-1625	97	5	(	(	PUNCT
cana-1625	97	6	ξ	ξ	X
cana-1625	97	7	,	,	PUNCT
cana-1625	97	8	ℜ	ℜ	PROPN
cana-1625	97	9	,	,	PUNCT
cana-1625	97	10	𝔖	𝔖	PROPN
cana-1625	97	11	,	,	PUNCT
cana-1625	97	12	𝔗,∗	𝔗,∗	PROPN
cana-1625	97	13	,	,	PUNCT
cana-1625	97	14	⨀	⨀	PROPN
cana-1625	97	15	)	)	PUNCT
cana-1625	97	16	be	be	VERB
cana-1625	97	17	a	a	DET
cana-1625	97	18	nms	nms	NOUN
cana-1625	97	19	with	with	ADP
cana-1625	97	20	lim	lim	PROPN
cana-1625	97	21	𝜚→∞	𝜚→∞	X
cana-1625	97	22	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	97	23	,	,	PUNCT
cana-1625	97	24	𝜍̃	𝜍̃	PROPN
cana-1625	97	25	,	,	PUNCT
cana-1625	97	26	𝜚	𝜚	NOUN
cana-1625	97	27	)	)	PUNCT
cana-1625	97	28	=	=	SYM
cana-1625	97	29	1	1	NUM
cana-1625	97	30	,	,	PUNCT
cana-1625	97	31	lim	lim	PROPN
cana-1625	97	32	𝜚→∞	𝜚→∞	X
cana-1625	97	33	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	97	34	,	,	PUNCT
cana-1625	97	35	𝜍̃	𝜍̃	PROPN
cana-1625	97	36	,	,	PUNCT
cana-1625	97	37	𝜚	𝜚	NOUN
cana-1625	97	38	)	)	PUNCT
cana-1625	97	39	=	=	SYM
cana-1625	97	40	0	0	PUNCT
cana-1625	97	41	and	and	CCONJ
cana-1625	97	42	lim	lim	PROPN
cana-1625	97	43	𝜚→∞	𝜚→∞	X
cana-1625	97	44	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	97	45	,	,	PUNCT
cana-1625	97	46	𝜍̃	𝜍̃	PROPN
cana-1625	97	47	,	,	PUNCT
cana-1625	97	48	𝜚	𝜚	NOUN
cana-1625	97	49	)	)	PUNCT
cana-1625	97	50	=	=	SYM
cana-1625	97	51	0	0	NUM
cana-1625	97	52	,	,	PUNCT
cana-1625	97	53	for	for	ADP
cana-1625	97	54	all	all	DET
cana-1625	97	55	𝔨	𝔨	PROPN
cana-1625	97	56	,	,	PUNCT
cana-1625	97	57	𝜍̃	𝜍̃	PROPN
cana-1625	97	58	∈	∈	PROPN
cana-1625	97	59	ξ	ξ	PROPN
cana-1625	97	60	and	and	CCONJ
cana-1625	97	61	𝜚	𝜚	NOUN
cana-1625	97	62	>	>	X
cana-1625	97	63	0	0	PUNCT
cana-1625	98	1	and	and	CCONJ
cana-1625	98	2	let	let	VERB
cana-1625	98	3	𝔏	𝔏	PROPN
cana-1625	98	4	and	and	CCONJ
cana-1625	98	5	𝔐	𝔐	PRON
cana-1625	98	6	be	be	VERB
cana-1625	98	7	self	self	NOUN
cana-1625	98	8	mapping	mapping	NOUN
cana-1625	98	9	on	on	ADP
cana-1625	98	10	ξ	ξ	PROPN
cana-1625	98	11	.	.	PUNCT
cana-1625	99	1	if	if	SCONJ
cana-1625	99	2	there	there	PRON
cana-1625	99	3	exist	exist	VERB
cana-1625	99	4	𝔡	𝔡	PRON
cana-1625	99	5	∈	∈	NOUN
cana-1625	99	6	(	(	PUNCT
cana-1625	99	7	0	0	NUM
cana-1625	99	8	,	,	PUNCT
cana-1625	99	9	1	1	NUM
cana-1625	99	10	)	)	PUNCT
cana-1625	99	11	such	such	ADJ
cana-1625	99	12	that	that	SCONJ
cana-1625	99	13	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	99	14	,	,	PUNCT
cana-1625	99	15	𝔐𝜍̃	𝔐𝜍̃	NOUN
cana-1625	99	16	,	,	PUNCT
cana-1625	99	17	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	99	18	)	)	PUNCT
cana-1625	99	19	≥	≥	NOUN
cana-1625	99	20	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	99	21	,	,	PUNCT
cana-1625	99	22	𝜍̃	𝜍̃	PROPN
cana-1625	99	23	,	,	PUNCT
cana-1625	99	24	𝜚	𝜚	NOUN
cana-1625	99	25	)	)	PUNCT
cana-1625	99	26	,	,	PUNCT
cana-1625	99	27	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	99	28	,	,	PUNCT
cana-1625	99	29	𝔐𝜍̃	𝔐𝜍̃	NOUN
cana-1625	99	30	,	,	PUNCT
cana-1625	99	31	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	99	32	)	)	PUNCT
cana-1625	99	33	≤	≤	NOUN
cana-1625	99	34	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	99	35	,	,	PUNCT
cana-1625	99	36	𝜍̃	𝜍̃	PROPN
cana-1625	99	37	,	,	PUNCT
cana-1625	99	38	𝜚	𝜚	NOUN
cana-1625	99	39	)	)	PUNCT
cana-1625	99	40	and	and	CCONJ
cana-1625	99	41	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	99	42	,	,	PUNCT
cana-1625	99	43	𝔐𝜍̃	𝔐𝜍̃	NOUN
cana-1625	99	44	,	,	PUNCT
cana-1625	99	45	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	99	46	)	)	PUNCT
cana-1625	99	47	≤	≤	PUNCT
cana-1625	100	1	𝔗(𝔨	𝔗(𝔨	X
cana-1625	100	2	,	,	PUNCT
cana-1625	100	3	𝜍̃	𝜍̃	PROPN
cana-1625	100	4	,	,	PUNCT
cana-1625	100	5	𝜚	𝜚	NOUN
cana-1625	100	6	)	)	PUNCT
cana-1625	100	7	for	for	ADP
cana-1625	100	8	all	all	DET
cana-1625	100	9	𝔨	𝔨	PROPN
cana-1625	100	10	,	,	PUNCT
cana-1625	100	11	𝜍̃	𝜍̃	PROPN
cana-1625	100	12	,	,	PUNCT
cana-1625	100	13	∈	∈	PROPN
cana-1625	100	14	ξ	ξ	PROPN
cana-1625	100	15	,	,	PUNCT
cana-1625	100	16	and	and	CCONJ
cana-1625	100	17	for	for	ADP
cana-1625	100	18	all	all	DET
cana-1625	100	19	𝜚	𝜚	NOUN
cana-1625	100	20	>	>	X
cana-1625	100	21	0	0	PUNCT
cana-1625	101	1	(	(	PUNCT
cana-1625	101	2	3.1.1	3.1.1	NUM
cana-1625	101	3	)	)	PUNCT
cana-1625	101	4	then	then	ADV
cana-1625	101	5	𝔏	𝔏	PROPN
cana-1625	101	6	and	and	CCONJ
cana-1625	101	7	𝔐	𝔐	PRON
cana-1625	101	8	have	have	VERB
cana-1625	101	9	a	a	DET
cana-1625	101	10	unique	unique	ADJ
cana-1625	101	11	common	common	ADJ
cana-1625	101	12	fixed	fix	VERB
cana-1625	101	13	point	point	NOUN
cana-1625	101	14	in	in	ADP
cana-1625	101	15	ξ	ξ	PROPN
cana-1625	101	16	.	.	PUNCT
cana-1625	101	17	communications	communication	NOUN
cana-1625	101	18	on	on	ADP
cana-1625	101	19	applied	apply	VERB
cana-1625	101	20	nonlinear	nonlinear	ADJ
cana-1625	101	21	analysis	analysis	NOUN
cana-1625	101	22	issn	issn	NOUN
cana-1625	101	23	:	:	PUNCT
cana-1625	101	24	1074	1074	NUM
cana-1625	101	25	-	-	PUNCT
cana-1625	101	26	133x	133x	NUM
cana-1625	101	27	vol	vol	NOUN
cana-1625	101	28	32	32	NUM
cana-1625	101	29	no	no	NOUN
cana-1625	101	30	.	.	NOUN
cana-1625	101	31	1	1	NUM
cana-1625	101	32	(	(	PUNCT
cana-1625	101	33	2025	2025	NUM
cana-1625	101	34	)	)	PUNCT
cana-1625	101	35	117	117	NUM
cana-1625	101	36	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	101	37	proof	proof	NOUN
cana-1625	101	38	.	.	PUNCT
cana-1625	102	1	let	let	VERB
cana-1625	102	2	𝔨0	𝔨0	VERB
cana-1625	102	3	∈	∈	PRON
cana-1625	102	4	ξ	ξ	X
cana-1625	102	5	be	be	AUX
cana-1625	102	6	an	an	DET
cana-1625	102	7	arbitrary	arbitrary	ADJ
cana-1625	102	8	point	point	NOUN
cana-1625	102	9	and	and	CCONJ
cana-1625	102	10	we	we	PRON
cana-1625	102	11	define	define	VERB
cana-1625	102	12	the	the	DET
cana-1625	102	13	sequence	sequence	NOUN
cana-1625	102	14	{	{	PUNCT
cana-1625	102	15	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	102	16	}	}	PUNCT
cana-1625	102	17	by	by	ADP
cana-1625	102	18	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	102	19	=	=	PUNCT
cana-1625	102	20	𝔏𝔨2𝑛	𝔏𝔨2𝑛	PROPN
cana-1625	102	21	and	and	CCONJ
cana-1625	102	22	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	102	23	=	=	SYM
cana-1625	102	24	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	102	25	;	;	PUNCT
cana-1625	102	26	n	n	NOUN
cana-1625	102	27	=	=	SYM
cana-1625	102	28	0,1,2	0,1,2	NUM
cana-1625	102	29	,	,	PUNCT
cana-1625	102	30	…	…	PUNCT
cana-1625	102	31	.	.	PUNCT
cana-1625	103	1	now	now	ADV
cana-1625	103	2	,	,	PUNCT
cana-1625	103	3	for	for	ADP
cana-1625	103	4	𝔡	𝔡	PROPN
cana-1625	103	5	∈	∈	PROPN
cana-1625	103	6	(	(	PUNCT
cana-1625	103	7	0	0	NUM
cana-1625	103	8	,	,	PUNCT
cana-1625	103	9	1	1	NUM
cana-1625	103	10	)	)	PUNCT
cana-1625	103	11	and	and	CCONJ
cana-1625	103	12	for	for	ADP
cana-1625	103	13	all	all	DET
cana-1625	103	14	𝜚	𝜚	NOUN
cana-1625	103	15	>	>	X
cana-1625	103	16	0	0	NUM
cana-1625	103	17	,	,	PUNCT
cana-1625	103	18	then	then	ADV
cana-1625	103	19	from	from	ADP
cana-1625	103	20	(	(	PUNCT
cana-1625	103	21	3.1.1	3.1.1	X
cana-1625	103	22	)	)	PUNCT
cana-1625	103	23	we	we	PRON
cana-1625	103	24	have	have	VERB
cana-1625	103	25	ℜ(𝔨2𝑛+1	ℜ(𝔨2𝑛+1	PROPN
cana-1625	103	26	,	,	PUNCT
cana-1625	103	27	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	103	28	,	,	PUNCT
cana-1625	103	29	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	103	30	)	)	PUNCT
cana-1625	103	31	=	=	SYM
cana-1625	103	32	ℜ(𝔏𝔨2𝑛	ℜ(𝔏𝔨2𝑛	PROPN
cana-1625	103	33	,	,	PUNCT
cana-1625	103	34	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	103	35	,	,	PUNCT
cana-1625	103	36	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	103	37	)	)	PUNCT
cana-1625	103	38	≥	≥	PROPN
cana-1625	103	39	ℜ(𝔨2𝑛	ℜ(𝔨2𝑛	NOUN
cana-1625	103	40	,	,	PUNCT
cana-1625	103	41	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	103	42	,	,	PUNCT
cana-1625	103	43	𝜚	𝜚	NOUN
cana-1625	103	44	)	)	PUNCT
cana-1625	103	45	,	,	PUNCT
cana-1625	103	46	ℜ(𝔨2𝑛	ℜ(𝔨2𝑛	NOUN
cana-1625	103	47	,	,	PUNCT
cana-1625	103	48	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	103	49	,	,	PUNCT
cana-1625	103	50	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	103	51	)	)	PUNCT
cana-1625	103	52	=	=	SYM
cana-1625	103	53	ℜ(𝔏𝔨2𝑛−1	ℜ(𝔏𝔨2𝑛−1	NOUN
cana-1625	103	54	,	,	PUNCT
cana-1625	103	55	𝔐𝔨2𝑛	𝔐𝔨2𝑛	PROPN
cana-1625	103	56	,	,	PUNCT
cana-1625	103	57	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	103	58	)	)	PUNCT
cana-1625	103	59	≥	≥	NOUN
cana-1625	103	60	ℜ(𝔨2𝑛−1	ℜ(𝔨2𝑛−1	NUM
cana-1625	103	61	,	,	PUNCT
cana-1625	103	62	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	103	63	,	,	PUNCT
cana-1625	103	64	𝜚	𝜚	NOUN
cana-1625	103	65	)	)	PUNCT
cana-1625	103	66	.	.	PUNCT
cana-1625	104	1	𝔖(𝔨2𝑛+1	𝔖(𝔨2𝑛+1	PROPN
cana-1625	104	2	,	,	PUNCT
cana-1625	104	3	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	104	4	,	,	PUNCT
cana-1625	104	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	104	6	)	)	PUNCT
cana-1625	104	7	=	=	SYM
cana-1625	104	8	𝔖(𝔏𝔨2𝑛	𝔖(𝔏𝔨2𝑛	PROPN
cana-1625	104	9	,	,	PUNCT
cana-1625	104	10	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	104	11	,	,	PUNCT
cana-1625	104	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	104	13	)	)	PUNCT
cana-1625	104	14	≤	≤	NOUN
cana-1625	105	1	𝔖(𝔨2𝑛	𝔖(𝔨2𝑛	NOUN
cana-1625	105	2	,	,	PUNCT
cana-1625	105	3	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	105	4	,	,	PUNCT
cana-1625	105	5	𝜚	𝜚	NOUN
cana-1625	105	6	)	)	PUNCT
cana-1625	105	7	,	,	PUNCT
cana-1625	105	8	𝔖(𝔨2𝑛	𝔖(𝔨2𝑛	INTJ
cana-1625	105	9	,	,	PUNCT
cana-1625	105	10	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	105	11	,	,	PUNCT
cana-1625	105	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	105	13	)	)	PUNCT
cana-1625	105	14	=	=	SYM
cana-1625	105	15	𝔖(𝔏𝔨2𝑛−1	𝔖(𝔏𝔨2𝑛−1	NUM
cana-1625	105	16	,	,	PUNCT
cana-1625	105	17	𝔐𝔨2𝑛	𝔐𝔨2𝑛	PROPN
cana-1625	105	18	,	,	PUNCT
cana-1625	105	19	𝔡𝜚)𝔖(𝔨2𝑛−1	𝔡𝜚)𝔖(𝔨2𝑛−1	PROPN
cana-1625	105	20	,	,	PUNCT
cana-1625	105	21	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	105	22	,	,	PUNCT
cana-1625	105	23	𝜚	𝜚	NOUN
cana-1625	105	24	)	)	PUNCT
cana-1625	105	25	and	and	CCONJ
cana-1625	105	26	𝔗(𝔨2𝑛+1	𝔗(𝔨2𝑛+1	PROPN
cana-1625	105	27	,	,	PUNCT
cana-1625	105	28	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	105	29	,	,	PUNCT
cana-1625	105	30	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	105	31	)	)	PUNCT
cana-1625	105	32	=	=	SYM
cana-1625	105	33	𝔗(𝔏𝔨2𝑛	𝔗(𝔏𝔨2𝑛	NOUN
cana-1625	105	34	,	,	PUNCT
cana-1625	105	35	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	105	36	,	,	PUNCT
cana-1625	105	37	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	105	38	)	)	PUNCT
cana-1625	105	39	≤	≤	NUM
cana-1625	105	40	𝔗(𝔨2𝑛	𝔗(𝔨2𝑛	NOUN
cana-1625	105	41	,	,	PUNCT
cana-1625	105	42	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	105	43	,	,	PUNCT
cana-1625	105	44	𝜚	𝜚	NOUN
cana-1625	105	45	)	)	PUNCT
cana-1625	105	46	,	,	PUNCT
cana-1625	105	47	𝔗(𝔨2𝑛	𝔗(𝔨2𝑛	NOUN
cana-1625	105	48	,	,	PUNCT
cana-1625	105	49	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	105	50	,	,	PUNCT
cana-1625	105	51	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	105	52	)	)	PUNCT
cana-1625	105	53	=	=	SYM
cana-1625	105	54	𝔗(𝔏𝔨2𝑛−1	𝔗(𝔏𝔨2𝑛−1	NOUN
cana-1625	105	55	,	,	PUNCT
cana-1625	105	56	𝔐𝔨2𝑛	𝔐𝔨2𝑛	PROPN
cana-1625	105	57	,	,	PUNCT
cana-1625	105	58	𝔡𝜚)𝔗(𝔨2𝑛−1	𝔡𝜚)𝔗(𝔨2𝑛−1	PROPN
cana-1625	105	59	,	,	PUNCT
cana-1625	105	60	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	105	61	,	,	PUNCT
cana-1625	105	62	𝜚	𝜚	NOUN
cana-1625	105	63	)	)	PUNCT
cana-1625	105	64	.	.	PUNCT
cana-1625	106	1	in	in	ADP
cana-1625	106	2	general	general	ADJ
cana-1625	106	3	,	,	PUNCT
cana-1625	106	4	we	we	PRON
cana-1625	106	5	have	have	VERB
cana-1625	106	6	ℜ(𝔨𝑛+1	ℜ(𝔨𝑛+1	PROPN
cana-1625	106	7	,	,	PUNCT
cana-1625	106	8	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	106	9	,	,	PUNCT
cana-1625	106	10	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	106	11	)	)	PUNCT
cana-1625	106	12	≥	≥	NOUN
cana-1625	106	13	ℜ(𝔨𝑛	ℜ(𝔨𝑛	PROPN
cana-1625	106	14	,	,	PUNCT
cana-1625	106	15	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	106	16	,	,	PUNCT
cana-1625	106	17	𝜚	𝜚	NOUN
cana-1625	106	18	)	)	PUNCT
cana-1625	106	19	,	,	PUNCT
cana-1625	106	20	𝔖(𝔨𝑛+1	𝔖(𝔨𝑛+1	PROPN
cana-1625	106	21	,	,	PUNCT
cana-1625	106	22	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	106	23	,	,	PUNCT
cana-1625	106	24	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	106	25	)	)	PUNCT
cana-1625	106	26	≤	≤	NOUN
cana-1625	106	27	𝔖(𝔨𝑛	𝔖(𝔨𝑛	NUM
cana-1625	106	28	,	,	PUNCT
cana-1625	106	29	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	106	30	,	,	PUNCT
cana-1625	106	31	𝜚	𝜚	NOUN
cana-1625	106	32	)	)	PUNCT
cana-1625	106	33	and	and	CCONJ
cana-1625	106	34	𝔗(𝔨𝑛+1	𝔗(𝔨𝑛+1	PROPN
cana-1625	106	35	,	,	PUNCT
cana-1625	106	36	𝔨𝑛+2	𝔨𝑛+2	NOUN
cana-1625	106	37	,	,	PUNCT
cana-1625	106	38	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	106	39	)	)	PUNCT
cana-1625	106	40	≤	≤	NOUN
cana-1625	106	41	𝔗(𝔨𝑛	𝔗(𝔨𝑛	VERB
cana-1625	106	42	,	,	PUNCT
cana-1625	106	43	𝔨𝑛+1	𝔨𝑛+1	NUM
cana-1625	106	44	,	,	PUNCT
cana-1625	106	45	𝜚	𝜚	NOUN
cana-1625	106	46	)	)	PUNCT
cana-1625	106	47	for	for	ADP
cana-1625	106	48	all	all	DET
cana-1625	106	49	𝜚	𝜚	NOUN
cana-1625	106	50	>	>	X
cana-1625	106	51	0	0	PUNCT
cana-1625	107	1	and	and	CCONJ
cana-1625	107	2	𝔡	𝔡	ADV
cana-1625	107	3	∈	∈	PROPN
cana-1625	107	4	(	(	PUNCT
cana-1625	107	5	0	0	NUM
cana-1625	107	6	,	,	PUNCT
cana-1625	107	7	1	1	NUM
cana-1625	107	8	)	)	PUNCT
cana-1625	107	9	;	;	PUNCT
cana-1625	107	10	n	n	PROPN
cana-1625	107	11	=	=	SYM
cana-1625	107	12	0,1,2	0,1,2	NUM
cana-1625	107	13	…	…	NUM
cana-1625	107	14	.	.	PUNCT
cana-1625	108	1	by	by	ADP
cana-1625	108	2	lemma	lemma	PROPN
cana-1625	108	3	(	(	PUNCT
cana-1625	108	4	2.10	2.10	NUM
cana-1625	108	5	)	)	PUNCT
cana-1625	108	6	{	{	PUNCT
cana-1625	108	7	𝔨𝑛	𝔨𝑛	AUX
cana-1625	108	8	}	}	PUNCT
cana-1625	108	9	be	be	AUX
cana-1625	108	10	a	a	DET
cana-1625	108	11	cauchy	cauchy	ADJ
cana-1625	108	12	sequence	sequence	NOUN
cana-1625	108	13	in	in	ADP
cana-1625	108	14	ξ	ξ	PROPN
cana-1625	108	15	.	.	PUNCT
cana-1625	109	1	since	since	SCONJ
cana-1625	109	2	ξ	ξ	PROPN
cana-1625	109	3	is	be	AUX
cana-1625	109	4	complete	complete	ADJ
cana-1625	109	5	then	then	ADV
cana-1625	109	6	there	there	PRON
cana-1625	109	7	exists	exist	VERB
cana-1625	109	8	𝜗	𝜗	PROPN
cana-1625	109	9	∈	∈	NOUN
cana-1625	109	10	ξ	ξ	NUM
cana-1625	109	11	such	such	ADJ
cana-1625	109	12	that	that	SCONJ
cana-1625	109	13	𝔨𝑛	𝔨𝑛	NOUN
cana-1625	109	14	→	→	SYM
cana-1625	109	15	𝜗	𝜗	PROPN
cana-1625	109	16	as	as	ADP
cana-1625	109	17	𝑛	𝑛	PROPN
cana-1625	109	18	→	→	SYM
cana-1625	109	19	∞	∞	PROPN
cana-1625	109	20	and	and	CCONJ
cana-1625	109	21	{	{	PUNCT
cana-1625	109	22	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	109	23	}	}	PUNCT
cana-1625	109	24	,	,	PUNCT
cana-1625	109	25	{	{	PUNCT
cana-1625	109	26	𝔨2𝑛+1	𝔨2𝑛+1	ADJ
cana-1625	109	27	}	}	PUNCT
cana-1625	109	28	are	be	AUX
cana-1625	109	29	sub	sub	NOUN
cana-1625	109	30	sequences	sequence	NOUN
cana-1625	109	31	of	of	ADP
cana-1625	109	32	{	{	PUNCT
cana-1625	109	33	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	109	34	}	}	PUNCT
cana-1625	109	35	converge	converge	VERB
cana-1625	109	36	to	to	ADP
cana-1625	109	37	the	the	DET
cana-1625	109	38	same	same	ADJ
cana-1625	109	39	point	point	NOUN
cana-1625	109	40	𝜗	𝜗	ADP
cana-1625	109	41	∈	∈	SYM
cana-1625	109	42	ξ	ξ	PROPN
cana-1625	109	43	,	,	PUNCT
cana-1625	109	44	i.e.	i.e.	X
cana-1625	109	45	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	109	46	→	→	SYM
cana-1625	109	47	𝜗	𝜗	PROPN
cana-1625	109	48	,	,	PUNCT
cana-1625	109	49	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	109	50	→	→	SYM
cana-1625	109	51	𝜗	𝜗	PROPN
cana-1625	109	52	as	as	ADP
cana-1625	109	53	𝑛	𝑛	PROPN
cana-1625	109	54	→	→	SYM
cana-1625	109	55	∞.	∞.	PROPN
cana-1625	109	56	now	now	ADV
cana-1625	109	57	from	from	ADP
cana-1625	109	58	equation	equation	NOUN
cana-1625	109	59	(	(	PUNCT
cana-1625	109	60	3.1.1	3.1.1	X
cana-1625	109	61	)	)	PUNCT
cana-1625	109	62	we	we	PRON
cana-1625	109	63	have	have	VERB
cana-1625	109	64	,	,	PUNCT
cana-1625	109	65	ℜ(𝔏𝜗	ℜ(𝔏𝜗	NOUN
cana-1625	109	66	,	,	PUNCT
cana-1625	109	67	𝜗	𝜗	NOUN
cana-1625	109	68	,	,	PUNCT
cana-1625	109	69	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	109	70	)	)	PUNCT
cana-1625	109	71	=	=	SYM
cana-1625	109	72	ℜ	ℜ	PROPN
cana-1625	109	73	(	(	PUNCT
cana-1625	109	74	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	109	75	,	,	PUNCT
cana-1625	109	76	𝜗	𝜗	PROPN
cana-1625	109	77	,	,	PUNCT
cana-1625	109	78	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	109	79	2	2	NUM
cana-1625	109	80	+	+	NUM
cana-1625	109	81	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	109	82	2	2	NUM
cana-1625	109	83	)	)	PUNCT
cana-1625	109	84	≥	≥	NOUN
cana-1625	110	1	ℜ	ℜ	PROPN
cana-1625	110	2	(	(	PUNCT
cana-1625	110	3	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	110	4	,	,	PUNCT
cana-1625	110	5	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	110	6	,	,	PUNCT
cana-1625	110	7	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	110	8	2	2	NUM
cana-1625	110	9	)	)	PUNCT
cana-1625	110	10	∗	∗	NOUN
cana-1625	110	11	ℜ	ℜ	PROPN
cana-1625	110	12	(	(	PUNCT
cana-1625	110	13	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	110	14	,	,	PUNCT
cana-1625	110	15	𝜗	𝜗	PROPN
cana-1625	110	16	,	,	PUNCT
cana-1625	110	17	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	110	18	2	2	NUM
cana-1625	110	19	)	)	PUNCT
cana-1625	110	20	=	=	SYM
cana-1625	110	21	ℜ	ℜ	PROPN
cana-1625	110	22	(	(	PUNCT
cana-1625	110	23	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	110	24	,	,	PUNCT
cana-1625	110	25	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	110	26	,	,	PUNCT
cana-1625	110	27	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	110	28	2	2	NUM
cana-1625	110	29	)	)	PUNCT
cana-1625	110	30	∗	∗	NOUN
cana-1625	110	31	ℜ	ℜ	PROPN
cana-1625	110	32	(	(	PUNCT
cana-1625	110	33	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	110	34	,	,	PUNCT
cana-1625	110	35	𝜗	𝜗	PROPN
cana-1625	110	36	,	,	PUNCT
cana-1625	110	37	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	110	38	2	2	NUM
cana-1625	110	39	)	)	PUNCT
cana-1625	110	40	≥	≥	NOUN
cana-1625	110	41	ℜ	ℜ	PROPN
cana-1625	110	42	(	(	PUNCT
cana-1625	110	43	𝜗	𝜗	NOUN
cana-1625	110	44	,	,	PUNCT
cana-1625	110	45	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	110	46	,	,	PUNCT
cana-1625	110	47	𝜚	𝜚	PROPN
cana-1625	110	48	2	2	NUM
cana-1625	110	49	)	)	PUNCT
cana-1625	110	50	∗	∗	NOUN
cana-1625	110	51	ℜ	ℜ	PROPN
cana-1625	110	52	(	(	PUNCT
cana-1625	110	53	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	110	54	,	,	PUNCT
cana-1625	110	55	𝜗	𝜗	PROPN
cana-1625	110	56	,	,	PUNCT
cana-1625	110	57	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	110	58	2	2	NUM
cana-1625	110	59	)	)	PUNCT
cana-1625	110	60	.	.	PUNCT
cana-1625	111	1	𝔖(𝔏𝜗	𝔖(𝔏𝜗	NUM
cana-1625	111	2	,	,	PUNCT
cana-1625	111	3	𝜗	𝜗	NOUN
cana-1625	111	4	,	,	PUNCT
cana-1625	111	5	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	111	6	)	)	PUNCT
cana-1625	111	7	=	=	SYM
cana-1625	111	8	𝔖	𝔖	PROPN
cana-1625	111	9	(	(	PUNCT
cana-1625	111	10	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	111	11	,	,	PUNCT
cana-1625	111	12	𝜗	𝜗	PROPN
cana-1625	111	13	,	,	PUNCT
cana-1625	111	14	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	111	15	2	2	NUM
cana-1625	111	16	+	+	NUM
cana-1625	111	17	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	111	18	2	2	NUM
cana-1625	111	19	)	)	PUNCT
cana-1625	111	20	≤	≤	NOUN
cana-1625	111	21	𝔖	𝔖	PROPN
cana-1625	111	22	(	(	PUNCT
cana-1625	111	23	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	111	24	,	,	PUNCT
cana-1625	111	25	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	111	26	,	,	PUNCT
cana-1625	111	27	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	111	28	2	2	NUM
cana-1625	111	29	)	)	PUNCT
cana-1625	111	30	⨀𝔖	⨀𝔖	PROPN
cana-1625	111	31	(	(	PUNCT
cana-1625	111	32	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	111	33	,	,	PUNCT
cana-1625	111	34	𝜗	𝜗	PROPN
cana-1625	111	35	,	,	PUNCT
cana-1625	111	36	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	111	37	2	2	NUM
cana-1625	111	38	)	)	PUNCT
cana-1625	111	39	=	=	SYM
cana-1625	112	1	𝔖	𝔖	PROPN
cana-1625	112	2	(	(	PUNCT
cana-1625	112	3	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	112	4	,	,	PUNCT
cana-1625	112	5	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	112	6	,	,	PUNCT
cana-1625	112	7	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	112	8	2	2	NUM
cana-1625	112	9	)	)	PUNCT
cana-1625	112	10	⨀𝔖	⨀𝔖	PROPN
cana-1625	112	11	(	(	PUNCT
cana-1625	112	12	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	112	13	,	,	PUNCT
cana-1625	112	14	𝜗	𝜗	PROPN
cana-1625	112	15	,	,	PUNCT
cana-1625	112	16	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	112	17	2	2	NUM
cana-1625	112	18	)	)	PUNCT
cana-1625	112	19	≤	≤	NOUN
cana-1625	112	20	𝔖	𝔖	PROPN
cana-1625	112	21	(	(	PUNCT
cana-1625	112	22	𝜗	𝜗	PROPN
cana-1625	112	23	,	,	PUNCT
cana-1625	112	24	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	112	25	,	,	PUNCT
cana-1625	112	26	𝜚	𝜚	NOUN
cana-1625	112	27	2	2	NUM
cana-1625	112	28	)	)	PUNCT
cana-1625	112	29	⨀𝔖	⨀𝔖	PROPN
cana-1625	112	30	(	(	PUNCT
cana-1625	112	31	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	112	32	,	,	PUNCT
cana-1625	112	33	𝜗	𝜗	PROPN
cana-1625	112	34	,	,	PUNCT
cana-1625	112	35	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	112	36	2	2	NUM
cana-1625	112	37	)	)	PUNCT
cana-1625	112	38	and	and	CCONJ
cana-1625	112	39	𝔗(𝔏𝜗	𝔗(𝔏𝜗	NOUN
cana-1625	112	40	,	,	PUNCT
cana-1625	112	41	𝜗	𝜗	NOUN
cana-1625	112	42	,	,	PUNCT
cana-1625	112	43	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	112	44	)	)	PUNCT
cana-1625	112	45	=	=	SYM
cana-1625	112	46	𝔗	𝔗	PROPN
cana-1625	112	47	(	(	PUNCT
cana-1625	112	48	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	112	49	,	,	PUNCT
cana-1625	112	50	𝜗	𝜗	PROPN
cana-1625	112	51	,	,	PUNCT
cana-1625	112	52	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	112	53	2	2	NUM
cana-1625	112	54	+	+	NUM
cana-1625	112	55	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	112	56	2	2	NUM
cana-1625	112	57	)	)	PUNCT
cana-1625	112	58	≤	≤	NOUN
cana-1625	113	1	𝔗	𝔗	PROPN
cana-1625	113	2	(	(	PUNCT
cana-1625	113	3	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	113	4	,	,	PUNCT
cana-1625	113	5	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	113	6	,	,	PUNCT
cana-1625	113	7	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	113	8	2	2	NUM
cana-1625	113	9	)	)	PUNCT
cana-1625	113	10	⨀𝔗	⨀𝔗	PROPN
cana-1625	113	11	(	(	PUNCT
cana-1625	113	12	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	113	13	,	,	PUNCT
cana-1625	113	14	𝜗	𝜗	PROPN
cana-1625	113	15	,	,	PUNCT
cana-1625	113	16	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	113	17	2	2	NUM
cana-1625	113	18	)	)	PUNCT
cana-1625	113	19	=	=	SYM
cana-1625	113	20	𝔗	𝔗	PROPN
cana-1625	113	21	(	(	PUNCT
cana-1625	113	22	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	113	23	,	,	PUNCT
cana-1625	113	24	𝔐𝔨2𝑛+1	𝔐𝔨2𝑛+1	NUM
cana-1625	113	25	,	,	PUNCT
cana-1625	113	26	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	113	27	2	2	NUM
cana-1625	113	28	)	)	PUNCT
cana-1625	113	29	⨀𝔗	⨀𝔗	PROPN
cana-1625	113	30	(	(	PUNCT
cana-1625	113	31	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	113	32	,	,	PUNCT
cana-1625	113	33	𝜗	𝜗	PROPN
cana-1625	113	34	,	,	PUNCT
cana-1625	113	35	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	113	36	2	2	NUM
cana-1625	113	37	)	)	PUNCT
cana-1625	113	38	≤	≤	NOUN
cana-1625	113	39	𝔗	𝔗	PROPN
cana-1625	113	40	(	(	PUNCT
cana-1625	113	41	𝜗	𝜗	PROPN
cana-1625	113	42	,	,	PUNCT
cana-1625	113	43	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	113	44	,	,	PUNCT
cana-1625	113	45	𝜚	𝜚	PROPN
cana-1625	113	46	2	2	X
cana-1625	113	47	)	)	PUNCT
cana-1625	113	48	⨀𝔗	⨀𝔗	PROPN
cana-1625	113	49	(	(	PUNCT
cana-1625	113	50	𝔨2𝑛+2	𝔨2𝑛+2	PROPN
cana-1625	113	51	,	,	PUNCT
cana-1625	113	52	𝜗	𝜗	PROPN
cana-1625	113	53	,	,	PUNCT
cana-1625	113	54	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	113	55	2	2	NUM
cana-1625	113	56	)	)	PUNCT
cana-1625	113	57	.	.	PUNCT
cana-1625	114	1	taking	take	VERB
cana-1625	114	2	limit	limit	NOUN
cana-1625	114	3	𝑛	𝑛	PRON
cana-1625	114	4	→	→	PUNCT
cana-1625	114	5	∞.	∞.	PROPN
cana-1625	114	6	ℜ(𝔏𝜗	ℜ(𝔏𝜗	NOUN
cana-1625	114	7	,	,	PUNCT
cana-1625	114	8	𝜗	𝜗	NOUN
cana-1625	114	9	,	,	PUNCT
cana-1625	114	10	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	114	11	)	)	PUNCT
cana-1625	114	12	≥	≥	NOUN
cana-1625	114	13	1	1	NUM
cana-1625	114	14	∗	∗	NOUN
cana-1625	114	15	1	1	NUM
cana-1625	114	16	=	=	SYM
cana-1625	114	17	1	1	NUM
cana-1625	114	18	,	,	PUNCT
cana-1625	114	19	𝔖(𝔏𝜗	𝔖(𝔏𝜗	NUM
cana-1625	114	20	,	,	PUNCT
cana-1625	114	21	𝜗	𝜗	NOUN
cana-1625	114	22	,	,	PUNCT
cana-1625	114	23	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	114	24	)	)	PUNCT
cana-1625	114	25	≤	≤	NOUN
cana-1625	114	26	0⨀0	0⨀0	NOUN
cana-1625	114	27	=	=	SYM
cana-1625	114	28	0	0	NUM
cana-1625	114	29	,	,	PUNCT
cana-1625	114	30	𝔗(𝔏𝜗	𝔗(𝔏𝜗	NUM
cana-1625	114	31	,	,	PUNCT
cana-1625	114	32	𝜗	𝜗	NOUN
cana-1625	114	33	,	,	PUNCT
cana-1625	114	34	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	114	35	)	)	PUNCT
cana-1625	114	36	≤	≤	NOUN
cana-1625	114	37	0⨀0	0⨀0	NOUN
cana-1625	114	38	=	=	SYM
cana-1625	114	39	0	0	X
cana-1625	114	40	.	.	PUNCT
cana-1625	115	1	so	so	ADV
cana-1625	115	2	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	115	3	=	=	SYM
cana-1625	115	4	𝜗	𝜗	NOUN
cana-1625	115	5	;	;	PUNCT
cana-1625	115	6	again	again	ADV
cana-1625	115	7	,	,	PUNCT
cana-1625	115	8	ℜ(𝜗	ℜ(𝜗	PRON
cana-1625	115	9	,	,	PUNCT
cana-1625	115	10	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	115	11	,	,	PUNCT
cana-1625	115	12	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	13	)	)	PUNCT
cana-1625	115	14	=	=	SYM
cana-1625	115	15	ℜ	ℜ	PROPN
cana-1625	115	16	(	(	PUNCT
cana-1625	115	17	𝜗	𝜗	NOUN
cana-1625	115	18	,	,	PUNCT
cana-1625	115	19	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	115	20	,	,	PUNCT
cana-1625	115	21	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	22	2	2	NUM
cana-1625	115	23	+	+	NUM
cana-1625	115	24	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	25	2	2	NUM
cana-1625	115	26	)	)	PUNCT
cana-1625	115	27	≥	≥	NOUN
cana-1625	115	28	ℜ	ℜ	PROPN
cana-1625	115	29	(	(	PUNCT
cana-1625	115	30	𝜗	𝜗	NOUN
cana-1625	115	31	,	,	PUNCT
cana-1625	115	32	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	115	33	,	,	PUNCT
cana-1625	115	34	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	35	2	2	NUM
cana-1625	115	36	)	)	PUNCT
cana-1625	115	37	∗	∗	NOUN
cana-1625	115	38	ℜ	ℜ	PROPN
cana-1625	115	39	(	(	PUNCT
cana-1625	115	40	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	115	41	,	,	PUNCT
cana-1625	115	42	𝔚𝜗	𝔚𝜗	PROPN
cana-1625	115	43	,	,	PUNCT
cana-1625	115	44	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	45	2	2	NUM
cana-1625	115	46	)	)	PUNCT
cana-1625	115	47	=	=	SYM
cana-1625	115	48	ℜ	ℜ	PROPN
cana-1625	115	49	(	(	PUNCT
cana-1625	115	50	𝜗	𝜗	NOUN
cana-1625	115	51	,	,	PUNCT
cana-1625	115	52	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	115	53	,	,	PUNCT
cana-1625	115	54	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	115	55	2	2	NUM
cana-1625	115	56	)	)	PUNCT
cana-1625	115	57	∗	∗	NOUN
cana-1625	115	58	ℜ	ℜ	PROPN
cana-1625	115	59	(	(	PUNCT
cana-1625	115	60	𝔏𝔨2𝑛	𝔏𝔨2𝑛	NOUN
cana-1625	115	61	,	,	PUNCT
cana-1625	116	1	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	116	2	,	,	PUNCT
cana-1625	116	3	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	116	4	2	2	NUM
cana-1625	116	5	)	)	PUNCT
cana-1625	116	6	≥	≥	NOUN
cana-1625	116	7	ℜ	ℜ	PROPN
cana-1625	116	8	(	(	PUNCT
cana-1625	116	9	𝜗	𝜗	NOUN
cana-1625	116	10	,	,	PUNCT
cana-1625	116	11	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	116	12	,	,	PUNCT
cana-1625	116	13	𝜚	𝜚	PROPN
cana-1625	116	14	2	2	NUM
cana-1625	116	15	)	)	PUNCT
cana-1625	116	16	∗	∗	NOUN
cana-1625	116	17	ℜ	ℜ	PROPN
cana-1625	116	18	(	(	PUNCT
cana-1625	116	19	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	116	20	,	,	PUNCT
cana-1625	116	21	𝜗	𝜗	PROPN
cana-1625	116	22	,	,	PUNCT
cana-1625	116	23	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	116	24	2	2	NUM
cana-1625	116	25	)	)	PUNCT
cana-1625	116	26	and	and	CCONJ
cana-1625	116	27	communications	communication	NOUN
cana-1625	116	28	on	on	ADP
cana-1625	116	29	applied	apply	VERB
cana-1625	116	30	nonlinear	nonlinear	ADJ
cana-1625	116	31	analysis	analysis	NOUN
cana-1625	116	32	issn	issn	NOUN
cana-1625	116	33	:	:	PUNCT
cana-1625	116	34	1074	1074	NUM
cana-1625	116	35	-	-	PUNCT
cana-1625	116	36	133x	133x	NUM
cana-1625	116	37	vol	vol	NOUN
cana-1625	116	38	32	32	NUM
cana-1625	116	39	no	no	NOUN
cana-1625	116	40	.	.	NOUN
cana-1625	116	41	1	1	NUM
cana-1625	116	42	(	(	PUNCT
cana-1625	116	43	2025	2025	NUM
cana-1625	116	44	)	)	PUNCT
cana-1625	116	45	118	118	NUM
cana-1625	116	46	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	116	47	𝔖(𝜗	𝔖(𝜗	NUM
cana-1625	116	48	,	,	PUNCT
cana-1625	116	49	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	116	50	,	,	PUNCT
cana-1625	116	51	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	116	52	)	)	PUNCT
cana-1625	116	53	=	=	SYM
cana-1625	116	54	𝔖	𝔖	PROPN
cana-1625	116	55	(	(	PUNCT
cana-1625	116	56	𝜗	𝜗	NOUN
cana-1625	116	57	,	,	PUNCT
cana-1625	116	58	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	116	59	,	,	PUNCT
cana-1625	116	60	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	116	61	2	2	NUM
cana-1625	116	62	+	+	NUM
cana-1625	116	63	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	116	64	2	2	NUM
cana-1625	116	65	)	)	PUNCT
cana-1625	117	1	≤	≤	NOUN
cana-1625	117	2	𝔖	𝔖	PROPN
cana-1625	117	3	(	(	PUNCT
cana-1625	117	4	𝜗	𝜗	PROPN
cana-1625	117	5	,	,	PUNCT
cana-1625	117	6	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	117	7	,	,	PUNCT
cana-1625	117	8	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	117	9	2	2	NUM
cana-1625	117	10	)	)	PUNCT
cana-1625	117	11	⨀𝔖	⨀𝔖	PROPN
cana-1625	117	12	(	(	PUNCT
cana-1625	117	13	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	117	14	,	,	PUNCT
cana-1625	117	15	𝔚𝜗	𝔚𝜗	PROPN
cana-1625	117	16	,	,	PUNCT
cana-1625	117	17	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	117	18	2	2	NUM
cana-1625	117	19	)	)	PUNCT
cana-1625	117	20	=	=	SYM
cana-1625	117	21	𝔖	𝔖	PROPN
cana-1625	117	22	(	(	PUNCT
cana-1625	117	23	𝜗	𝜗	PROPN
cana-1625	117	24	,	,	PUNCT
cana-1625	117	25	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	117	26	,	,	PUNCT
cana-1625	117	27	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	117	28	2	2	NUM
cana-1625	117	29	)	)	PUNCT
cana-1625	117	30	⨀𝔖	⨀𝔖	PROPN
cana-1625	117	31	(	(	PUNCT
cana-1625	117	32	𝔏𝔨2𝑛	𝔏𝔨2𝑛	NOUN
cana-1625	117	33	,	,	PUNCT
cana-1625	118	1	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	118	2	,	,	PUNCT
cana-1625	118	3	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	118	4	2	2	NUM
cana-1625	118	5	)	)	PUNCT
cana-1625	118	6	≤	≤	NOUN
cana-1625	118	7	𝔖	𝔖	PROPN
cana-1625	118	8	(	(	PUNCT
cana-1625	118	9	𝜗	𝜗	PROPN
cana-1625	118	10	,	,	PUNCT
cana-1625	118	11	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	118	12	,	,	PUNCT
cana-1625	118	13	𝜚	𝜚	NOUN
cana-1625	118	14	2	2	NUM
cana-1625	118	15	)	)	PUNCT
cana-1625	118	16	⨀𝔖	⨀𝔖	PROPN
cana-1625	118	17	(	(	PUNCT
cana-1625	118	18	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	118	19	,	,	PUNCT
cana-1625	118	20	𝜗	𝜗	PROPN
cana-1625	118	21	,	,	PUNCT
cana-1625	118	22	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	118	23	2	2	NUM
cana-1625	118	24	)	)	PUNCT
cana-1625	118	25	.	.	PUNCT
cana-1625	119	1	in	in	ADP
cana-1625	119	2	addition	addition	NOUN
cana-1625	119	3	,	,	PUNCT
cana-1625	119	4	𝔗(𝜗	𝔗(𝜗	NOUN
cana-1625	119	5	,	,	PUNCT
cana-1625	119	6	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	119	7	,	,	PUNCT
cana-1625	119	8	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	119	9	)	)	PUNCT
cana-1625	120	1	=	=	SYM
cana-1625	120	2	𝔗	𝔗	PROPN
cana-1625	120	3	(	(	PUNCT
cana-1625	120	4	𝜗	𝜗	NOUN
cana-1625	120	5	,	,	PUNCT
cana-1625	120	6	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	120	7	,	,	PUNCT
cana-1625	120	8	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	120	9	2	2	NUM
cana-1625	120	10	+	+	NUM
cana-1625	120	11	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	120	12	2	2	NUM
cana-1625	120	13	)	)	PUNCT
cana-1625	120	14	≤	≤	NOUN
cana-1625	120	15	𝔗	𝔗	PROPN
cana-1625	120	16	(	(	PUNCT
cana-1625	120	17	𝜗	𝜗	PROPN
cana-1625	120	18	,	,	PUNCT
cana-1625	120	19	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	120	20	,	,	PUNCT
cana-1625	120	21	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	120	22	2	2	NUM
cana-1625	120	23	)	)	PUNCT
cana-1625	120	24	⨀𝔗	⨀𝔗	PROPN
cana-1625	120	25	(	(	PUNCT
cana-1625	120	26	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	120	27	,	,	PUNCT
cana-1625	120	28	𝔚𝜗	𝔚𝜗	PROPN
cana-1625	120	29	,	,	PUNCT
cana-1625	120	30	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	120	31	2	2	NUM
cana-1625	120	32	)	)	PUNCT
cana-1625	120	33	=	=	SYM
cana-1625	120	34	𝔗	𝔗	PROPN
cana-1625	120	35	(	(	PUNCT
cana-1625	120	36	𝜗	𝜗	PROPN
cana-1625	120	37	,	,	PUNCT
cana-1625	120	38	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	120	39	,	,	PUNCT
cana-1625	120	40	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	120	41	2	2	NUM
cana-1625	120	42	)	)	PUNCT
cana-1625	120	43	⨀𝔗	⨀𝔗	PROPN
cana-1625	120	44	(	(	PUNCT
cana-1625	120	45	𝔏𝔨2𝑛	𝔏𝔨2𝑛	NOUN
cana-1625	120	46	,	,	PUNCT
cana-1625	121	1	𝔚𝜗	𝔚𝜗	ADJ
cana-1625	121	2	,	,	PUNCT
cana-1625	121	3	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	121	4	2	2	NUM
cana-1625	121	5	)	)	PUNCT
cana-1625	121	6	≤	≤	NOUN
cana-1625	121	7	𝔗	𝔗	PROPN
cana-1625	121	8	(	(	PUNCT
cana-1625	121	9	𝜗	𝜗	PROPN
cana-1625	121	10	,	,	PUNCT
cana-1625	121	11	𝔨2𝑛+1	𝔨2𝑛+1	PROPN
cana-1625	121	12	,	,	PUNCT
cana-1625	121	13	𝜚	𝜚	PROPN
cana-1625	121	14	2	2	X
cana-1625	121	15	)	)	PUNCT
cana-1625	121	16	⨀𝔗	⨀𝔗	PROPN
cana-1625	121	17	(	(	PUNCT
cana-1625	121	18	𝔨2𝑛	𝔨2𝑛	NOUN
cana-1625	121	19	,	,	PUNCT
cana-1625	121	20	𝜗	𝜗	PROPN
cana-1625	121	21	,	,	PUNCT
cana-1625	121	22	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	121	23	2	2	NUM
cana-1625	121	24	)	)	PUNCT
cana-1625	121	25	.	.	PUNCT
cana-1625	122	1	on	on	ADP
cana-1625	122	2	taking	take	VERB
cana-1625	122	3	limit	limit	NOUN
cana-1625	122	4	𝑛	𝑛	ADP
cana-1625	122	5	→	→	PUNCT
cana-1625	122	6	∞.	∞.	PROPN
cana-1625	122	7	ℜ(𝜗	ℜ(𝜗	PROPN
cana-1625	122	8	,	,	PUNCT
cana-1625	122	9	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	122	10	,	,	PUNCT
cana-1625	122	11	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	122	12	)	)	PUNCT
cana-1625	122	13	≥	≥	NOUN
cana-1625	122	14	1	1	NUM
cana-1625	122	15	∗	∗	NOUN
cana-1625	122	16	1	1	NUM
cana-1625	122	17	=	=	SYM
cana-1625	122	18	1,𝔖(𝜗	1,𝔖(𝜗	NOUN
cana-1625	122	19	,	,	PUNCT
cana-1625	122	20	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	122	21	,	,	PUNCT
cana-1625	122	22	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	122	23	)	)	PUNCT
cana-1625	122	24	≤	≤	NOUN
cana-1625	122	25	0⨀0	0⨀0	NOUN
cana-1625	122	26	=	=	SYM
cana-1625	122	27	0	0	NUM
cana-1625	122	28	,	,	PUNCT
cana-1625	122	29	and	and	CCONJ
cana-1625	122	30	𝔗(𝜗	𝔗(𝜗	NOUN
cana-1625	122	31	,	,	PUNCT
cana-1625	122	32	𝔐𝜗	𝔐𝜗	PROPN
cana-1625	122	33	,	,	PUNCT
cana-1625	122	34	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	122	35	)	)	PUNCT
cana-1625	122	36	≤	≤	NOUN
cana-1625	122	37	0⨀0	0⨀0	NOUN
cana-1625	122	38	=	=	SYM
cana-1625	122	39	0	0	X
cana-1625	122	40	.	.	PUNCT
cana-1625	123	1	so	so	ADV
cana-1625	123	2	𝔚𝜗	𝔚𝜗	PROPN
cana-1625	123	3	=	=	PUNCT
cana-1625	123	4	𝜗	𝜗	NOUN
cana-1625	123	5	,	,	PUNCT
cana-1625	123	6	and	and	CCONJ
cana-1625	123	7	𝔏𝜗	𝔏𝜗	PROPN
cana-1625	124	1	=	=	PUNCT
cana-1625	124	2	𝔚𝜗	𝔚𝜗	PROPN
cana-1625	124	3	=	=	PRON
cana-1625	124	4	𝜗.	𝜗.	PROPN
cana-1625	124	5	hence	hence	ADV
cana-1625	124	6	𝜗	𝜗	PROPN
cana-1625	124	7	is	be	AUX
cana-1625	124	8	a	a	DET
cana-1625	124	9	common	common	ADJ
cana-1625	124	10	fixed	fix	VERB
cana-1625	124	11	point	point	NOUN
cana-1625	124	12	of	of	ADP
cana-1625	124	13	𝔏	𝔏	PROPN
cana-1625	124	14	and	and	CCONJ
cana-1625	124	15	𝔚.	𝔚.	NOUN
cana-1625	124	16	for	for	ADP
cana-1625	124	17	uniqueness	uniqueness	NOUN
cana-1625	124	18	,	,	PUNCT
cana-1625	124	19	let	let	VERB
cana-1625	124	20	𝔰	𝔰	PRON
cana-1625	124	21	be	be	AUX
cana-1625	124	22	any	any	DET
cana-1625	124	23	another	another	DET
cana-1625	124	24	fixed	fix	VERB
cana-1625	124	25	point	point	NOUN
cana-1625	124	26	of	of	ADP
cana-1625	124	27	𝔏	𝔏	PROPN
cana-1625	124	28	and	and	CCONJ
cana-1625	124	29	𝔚.	𝔚.	NOUN
cana-1625	124	30	now	now	ADV
cana-1625	124	31	from	from	ADP
cana-1625	124	32	(	(	PUNCT
cana-1625	124	33	3.1.1	3.1.1	NUM
cana-1625	124	34	)	)	PUNCT
cana-1625	124	35	,	,	PUNCT
cana-1625	124	36	ℜ(𝜗	ℜ(𝜗	PROPN
cana-1625	124	37	,	,	PUNCT
cana-1625	124	38	𝔰	𝔰	NOUN
cana-1625	124	39	,	,	PUNCT
cana-1625	124	40	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	124	41	)	)	PUNCT
cana-1625	124	42	=	=	SYM
cana-1625	125	1	ℜ(𝔏𝜗	ℜ(𝔏𝜗	PROPN
cana-1625	125	2	,	,	PUNCT
cana-1625	125	3	𝔚𝔰	𝔚𝔰	PROPN
cana-1625	125	4	,	,	PUNCT
cana-1625	125	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	125	6	)	)	PUNCT
cana-1625	125	7	≥	≥	NOUN
cana-1625	125	8	ℜ(𝜗	ℜ(𝜗	PROPN
cana-1625	125	9	,	,	PUNCT
cana-1625	125	10	𝔰	𝔰	PROPN
cana-1625	125	11	,	,	PUNCT
cana-1625	125	12	𝜚	𝜚	NOUN
cana-1625	125	13	)	)	PUNCT
cana-1625	125	14	;	;	PUNCT
cana-1625	125	15	𝔖(𝜗	𝔖(𝜗	X
cana-1625	125	16	,	,	PUNCT
cana-1625	125	17	𝔰	𝔰	PRON
cana-1625	125	18	,	,	PUNCT
cana-1625	125	19	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	125	20	)	)	PUNCT
cana-1625	125	21	=	=	SYM
cana-1625	125	22	𝔖(𝔏𝜗	𝔖(𝔏𝜗	NUM
cana-1625	125	23	,	,	PUNCT
cana-1625	125	24	𝔚𝔰	𝔚𝔰	PROPN
cana-1625	125	25	,	,	PUNCT
cana-1625	125	26	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	125	27	)	)	PUNCT
cana-1625	125	28	≤	≤	NOUN
cana-1625	125	29	𝔖(𝜗	𝔖(𝜗	NUM
cana-1625	125	30	,	,	PUNCT
cana-1625	125	31	𝔰	𝔰	PROPN
cana-1625	125	32	,	,	PUNCT
cana-1625	125	33	𝜚)and	𝜚)and	PROPN
cana-1625	125	34	𝔗(𝜗	𝔗(𝜗	NOUN
cana-1625	125	35	,	,	PUNCT
cana-1625	125	36	𝔰	𝔰	PROPN
cana-1625	125	37	,	,	PUNCT
cana-1625	125	38	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	125	39	)	)	PUNCT
cana-1625	125	40	=	=	SYM
cana-1625	125	41	𝔗(𝔏𝜗	𝔗(𝔏𝜗	PROPN
cana-1625	125	42	,	,	PUNCT
cana-1625	125	43	𝔚𝔰	𝔚𝔰	PROPN
cana-1625	125	44	,	,	PUNCT
cana-1625	125	45	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	125	46	)	)	PUNCT
cana-1625	125	47	≤	≤	NOUN
cana-1625	125	48	𝔗(𝜗	𝔗(𝜗	NOUN
cana-1625	125	49	,	,	PUNCT
cana-1625	125	50	𝔰	𝔰	PROPN
cana-1625	125	51	,	,	PUNCT
cana-1625	125	52	𝜚	𝜚	NOUN
cana-1625	125	53	)	)	PUNCT
cana-1625	125	54	.	.	PUNCT
cana-1625	126	1	we	we	PRON
cana-1625	126	2	know	know	VERB
cana-1625	126	3	that	that	SCONJ
cana-1625	126	4	when	when	SCONJ
cana-1625	126	5	(	(	PUNCT
cana-1625	126	6	ξ	ξ	X
cana-1625	126	7	,	,	PUNCT
cana-1625	126	8	ℜ	ℜ	PROPN
cana-1625	126	9	,	,	PUNCT
cana-1625	126	10	𝔖,∗	𝔖,∗	PRON
cana-1625	126	11	,	,	PUNCT
cana-1625	126	12	⨀	⨀	PROPN
cana-1625	126	13	)	)	PUNCT
cana-1625	126	14	be	be	VERB
cana-1625	126	15	nms	nms	NOUN
cana-1625	126	16	such	such	ADJ
cana-1625	126	17	that	that	SCONJ
cana-1625	126	18	lim	lim	PROPN
cana-1625	126	19	𝜚→∞	𝜚→∞	NOUN
cana-1625	126	20	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	126	21	,	,	PUNCT
cana-1625	126	22	𝜍̃	𝜍̃	PROPN
cana-1625	126	23	,	,	PUNCT
cana-1625	126	24	𝜚	𝜚	NOUN
cana-1625	126	25	)	)	PUNCT
cana-1625	127	1	=	=	SYM
cana-1625	127	2	1	1	NUM
cana-1625	127	3	,	,	PUNCT
cana-1625	127	4	lim	lim	PROPN
cana-1625	127	5	𝜚→∞	𝜚→∞	X
cana-1625	127	6	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	127	7	,	,	PUNCT
cana-1625	127	8	𝜍̃	𝜍̃	PROPN
cana-1625	127	9	,	,	PUNCT
cana-1625	127	10	𝜚	𝜚	NOUN
cana-1625	127	11	)	)	PUNCT
cana-1625	127	12	=	=	SYM
cana-1625	127	13	0	0	PUNCT
cana-1625	127	14	and	and	CCONJ
cana-1625	127	15	lim	lim	PROPN
cana-1625	127	16	𝜚→∞	𝜚→∞	X
cana-1625	127	17	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	127	18	,	,	PUNCT
cana-1625	127	19	𝜍̃	𝜍̃	PROPN
cana-1625	127	20	,	,	PUNCT
cana-1625	127	21	𝜚	𝜚	NOUN
cana-1625	127	22	)	)	PUNCT
cana-1625	127	23	=	=	SYM
cana-1625	127	24	0	0	NUM
cana-1625	127	25	,	,	PUNCT
cana-1625	128	1	for	for	ADP
cana-1625	128	2	all	all	DET
cana-1625	128	3	𝔨	𝔨	PROPN
cana-1625	128	4	,	,	PUNCT
cana-1625	128	5	𝜍̃	𝜍̃	PROPN
cana-1625	128	6	∈	∈	PROPN
cana-1625	128	7	ξ	ξ	X
cana-1625	128	8	.	.	PUNCT
cana-1625	129	1	if	if	SCONJ
cana-1625	129	2	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	129	3	,	,	PUNCT
cana-1625	129	4	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	129	5	,	,	PUNCT
cana-1625	129	6	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	129	7	)	)	PUNCT
cana-1625	129	8	≥	≥	NOUN
cana-1625	129	9	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	129	10	,	,	PUNCT
cana-1625	129	11	𝜍̃	𝜍̃	PROPN
cana-1625	129	12	,	,	PUNCT
cana-1625	129	13	𝜚	𝜚	NOUN
cana-1625	129	14	)	)	PUNCT
cana-1625	129	15	,	,	PUNCT
cana-1625	129	16	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	129	17	,	,	PUNCT
cana-1625	129	18	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	129	19	,	,	PUNCT
cana-1625	129	20	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	129	21	)	)	PUNCT
cana-1625	129	22	≤	≤	NOUN
cana-1625	129	23	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	129	24	,	,	PUNCT
cana-1625	129	25	𝜍̃	𝜍̃	PROPN
cana-1625	129	26	,	,	PUNCT
cana-1625	129	27	𝜚	𝜚	NOUN
cana-1625	129	28	)	)	PUNCT
cana-1625	129	29	and	and	CCONJ
cana-1625	129	30	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	129	31	,	,	PUNCT
cana-1625	129	32	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	129	33	,	,	PUNCT
cana-1625	129	34	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	129	35	)	)	PUNCT
cana-1625	129	36	≤	≤	PUNCT
cana-1625	129	37	𝔗(𝔨	𝔗(𝔨	X
cana-1625	129	38	,	,	PUNCT
cana-1625	129	39	𝜍̃	𝜍̃	PROPN
cana-1625	129	40	,	,	PUNCT
cana-1625	129	41	𝜚	𝜚	NOUN
cana-1625	129	42	)	)	PUNCT
cana-1625	129	43	,	,	PUNCT
cana-1625	129	44	for	for	ADP
cana-1625	129	45	some	some	PRON
cana-1625	129	46	0	0	NUM
cana-1625	129	47	<	<	X
cana-1625	129	48	𝔡	𝔡	X
cana-1625	129	49	<	<	X
cana-1625	129	50	1	1	NUM
cana-1625	129	51	,	,	PUNCT
cana-1625	129	52	for	for	ADP
cana-1625	129	53	all	all	DET
cana-1625	129	54	𝔨	𝔨	PROPN
cana-1625	129	55	,	,	PUNCT
cana-1625	129	56	𝜍̃	𝜍̃	PROPN
cana-1625	129	57	,	,	PUNCT
cana-1625	129	58	∈	∈	PROPN
cana-1625	129	59	ξ	ξ	PROPN
cana-1625	129	60	,	,	PUNCT
cana-1625	129	61	𝜚	𝜚	PROPN
cana-1625	129	62	∈	∈	PROPN
cana-1625	129	63	(	(	PUNCT
cana-1625	129	64	0	0	NUM
cana-1625	129	65	,	,	PUNCT
cana-1625	129	66	∞	∞	PROPN
cana-1625	129	67	)	)	PUNCT
cana-1625	129	68	,	,	PUNCT
cana-1625	129	69	then	then	ADV
cana-1625	129	70	𝔨	𝔨	PROPN
cana-1625	129	71	=	=	SYM
cana-1625	129	72	𝜍̃.	𝜍̃.	PROPN
cana-1625	129	73	hence	hence	ADV
cana-1625	129	74	𝜗	𝜗	NOUN
cana-1625	129	75	=	=	PUNCT
cana-1625	129	76	𝔰.	𝔰.	NOUN
cana-1625	129	77	example	example	NOUN
cana-1625	129	78	:	:	PUNCT
cana-1625	129	79	3.2	3.2	NUM
cana-1625	129	80	:	:	PUNCT
cana-1625	129	81	let	let	VERB
cana-1625	129	82	ξ	ξ	X
cana-1625	129	83	=	=	PUNCT
cana-1625	130	1	[	[	X
cana-1625	130	2	0	0	NUM
cana-1625	130	3	,	,	PUNCT
cana-1625	130	4	1	1	NUM
cana-1625	130	5	]	]	PUNCT
cana-1625	130	6	.	.	PUNCT
cana-1625	131	1	consider	consider	VERB
cana-1625	131	2	the	the	DET
cana-1625	131	3	metric	metric	ADJ
cana-1625	131	4	𝑑(𝔨	𝑑(𝔨	PROPN
cana-1625	131	5	,	,	PUNCT
cana-1625	131	6	𝜍̃	𝜍̃	NOUN
cana-1625	131	7	)	)	PUNCT
cana-1625	131	8	=	=	SYM
cana-1625	131	9	|𝔨	|𝔨	NOUN
cana-1625	131	10	−	−	NOUN
cana-1625	131	11	𝜍̃|	𝜍̃|	NOUN
cana-1625	131	12	with	with	ADP
cana-1625	131	13	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	131	14	,	,	PUNCT
cana-1625	131	15	𝜍̃	𝜍̃	PROPN
cana-1625	131	16	,	,	PUNCT
cana-1625	131	17	𝜚	𝜚	NOUN
cana-1625	131	18	)	)	PUNCT
cana-1625	132	1	=	=	SYM
cana-1625	132	2	𝜚	𝜚	PROPN
cana-1625	132	3	𝜚+𝑑(𝔨,	𝜚+𝑑(𝔨,	PROPN
cana-1625	132	4	�	�	PROPN
cana-1625	132	5	̃	̃	PROPN
cana-1625	132	6	�	�	PROPN
cana-1625	132	7	)	)	PUNCT
cana-1625	132	8	,	,	PUNCT
cana-1625	132	9	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	132	10	,	,	PUNCT
cana-1625	132	11	𝜍̃	𝜍̃	PROPN
cana-1625	132	12	,	,	PUNCT
cana-1625	132	13	𝜚	𝜚	NOUN
cana-1625	132	14	)	)	PUNCT
cana-1625	132	15	=	=	PUNCT
cana-1625	133	1	𝑑(𝔨,	𝑑(𝔨,	PROPN
cana-1625	133	2	�	�	PROPN
cana-1625	133	3	̃	̃	NOUN
cana-1625	133	4	�	�	PROPN
cana-1625	133	5	)	)	PUNCT
cana-1625	133	6	𝜚+𝑑(𝔨,	𝜚+𝑑(𝔨,	PROPN
cana-1625	133	7	�	�	PROPN
cana-1625	133	8	̃	̃	PROPN
cana-1625	133	9	�	�	PROPN
cana-1625	133	10	)	)	PUNCT
cana-1625	133	11	and	and	CCONJ
cana-1625	133	12	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	133	13	,	,	PUNCT
cana-1625	133	14	𝜍̃	𝜍̃	PROPN
cana-1625	133	15	,	,	PUNCT
cana-1625	133	16	𝜚	𝜚	NOUN
cana-1625	133	17	)	)	PUNCT
cana-1625	134	1	=	=	PUNCT
cana-1625	134	2	𝑑(𝔨,	𝑑(𝔨,	PROPN
cana-1625	134	3	�	�	PROPN
cana-1625	134	4	̃	̃	NOUN
cana-1625	134	5	�	�	NOUN
cana-1625	134	6	)	)	PUNCT
cana-1625	134	7	𝜚	𝜚	NOUN
cana-1625	134	8	and	and	CCONJ
cana-1625	134	9	the	the	DET
cana-1625	134	10	self	self	NOUN
cana-1625	134	11	mappings	mapping	NOUN
cana-1625	134	12	𝔏	𝔏	NOUN
cana-1625	134	13	and	and	CCONJ
cana-1625	134	14	𝔚	𝔚	PROPN
cana-1625	134	15	on	on	ADP
cana-1625	134	16	ξ	ξ	PROPN
cana-1625	134	17	,	,	PUNCT
cana-1625	134	18	defined	define	VERB
cana-1625	134	19	by	by	ADP
cana-1625	134	20	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	134	21	)	)	PUNCT
cana-1625	134	22	=	=	SYM
cana-1625	134	23	𝔨	𝔨	PROPN
cana-1625	134	24	4	4	NUM
cana-1625	134	25	,	,	PUNCT
cana-1625	134	26	𝔚(𝔨	𝔚(𝔨	NOUN
cana-1625	134	27	)	)	PUNCT
cana-1625	134	28	=	=	SYM
cana-1625	135	1	𝔨	𝔨	PROPN
cana-1625	135	2	2	2	NUM
cana-1625	135	3	.	.	PUNCT
cana-1625	136	1	the	the	DET
cana-1625	136	2	self	self	NOUN
cana-1625	136	3	mappings	mapping	NOUN
cana-1625	136	4	𝔏	𝔏	NOUN
cana-1625	136	5	and	and	CCONJ
cana-1625	136	6	𝔚	𝔚	PROPN
cana-1625	136	7	satisfies	satisfy	VERB
cana-1625	136	8	all	all	DET
cana-1625	136	9	the	the	DET
cana-1625	136	10	conditions	condition	NOUN
cana-1625	136	11	that	that	PRON
cana-1625	136	12	are	be	AUX
cana-1625	136	13	stated	state	VERB
cana-1625	136	14	in	in	ADP
cana-1625	136	15	theorem	theorem	NOUN
cana-1625	136	16	(	(	PUNCT
cana-1625	136	17	3.1	3.1	NUM
cana-1625	136	18	)	)	PUNCT
cana-1625	136	19	,	,	PUNCT
cana-1625	136	20	then	then	ADV
cana-1625	136	21	𝔏	𝔏	PROPN
cana-1625	136	22	and	and	CCONJ
cana-1625	136	23	𝔚	𝔚	PROPN
cana-1625	136	24	have	have	VERB
cana-1625	136	25	unique	unique	ADJ
cana-1625	136	26	common	common	ADJ
cana-1625	136	27	fixed	fix	VERB
cana-1625	136	28	point	point	NOUN
cana-1625	136	29	at	at	ADP
cana-1625	136	30	0	0	NUM
cana-1625	136	31	.	.	PUNCT
cana-1625	137	1	corollary	corollary	ADJ
cana-1625	137	2	3.3	3.3	NUM
cana-1625	137	3	:	:	PUNCT
cana-1625	137	4	let	let	VERB
cana-1625	137	5	(	(	PUNCT
cana-1625	137	6	ξ	ξ	X
cana-1625	137	7	,	,	PUNCT
cana-1625	137	8	ℜ	ℜ	PROPN
cana-1625	137	9	,	,	PUNCT
cana-1625	137	10	𝔖	𝔖	PROPN
cana-1625	137	11	,	,	PUNCT
cana-1625	137	12	𝔗,∗	𝔗,∗	PROPN
cana-1625	137	13	,	,	PUNCT
cana-1625	137	14	⨀	⨀	PROPN
cana-1625	137	15	)	)	PUNCT
cana-1625	137	16	be	be	VERB
cana-1625	137	17	a	a	DET
cana-1625	137	18	nms	nms	NOUN
cana-1625	137	19	with	with	ADP
cana-1625	137	20	lim	lim	PROPN
cana-1625	137	21	𝜚→∞	𝜚→∞	X
cana-1625	137	22	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	137	23	,	,	PUNCT
cana-1625	137	24	𝜍̃	𝜍̃	PROPN
cana-1625	137	25	,	,	PUNCT
cana-1625	137	26	𝜚	𝜚	NOUN
cana-1625	137	27	)	)	PUNCT
cana-1625	137	28	=	=	SYM
cana-1625	138	1	1	1	NUM
cana-1625	138	2	,	,	PUNCT
cana-1625	138	3	lim	lim	PROPN
cana-1625	138	4	𝜚→∞	𝜚→∞	X
cana-1625	138	5	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	138	6	,	,	PUNCT
cana-1625	138	7	𝜍̃	𝜍̃	PROPN
cana-1625	138	8	,	,	PUNCT
cana-1625	138	9	𝜚	𝜚	NOUN
cana-1625	138	10	)	)	PUNCT
cana-1625	138	11	=	=	SYM
cana-1625	138	12	0	0	PUNCT
cana-1625	138	13	and	and	CCONJ
cana-1625	138	14	lim	lim	PROPN
cana-1625	138	15	𝜚→∞	𝜚→∞	X
cana-1625	138	16	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	138	17	,	,	PUNCT
cana-1625	138	18	𝜍̃	𝜍̃	PROPN
cana-1625	138	19	,	,	PUNCT
cana-1625	138	20	𝜚	𝜚	NOUN
cana-1625	138	21	)	)	PUNCT
cana-1625	138	22	=	=	SYM
cana-1625	138	23	0	0	NUM
cana-1625	138	24	,	,	PUNCT
cana-1625	138	25	for	for	ADP
cana-1625	138	26	all	all	DET
cana-1625	138	27	𝔨	𝔨	PROPN
cana-1625	138	28	,	,	PUNCT
cana-1625	138	29	𝜍̃	𝜍̃	PROPN
cana-1625	138	30	∈	∈	PROPN
cana-1625	138	31	ξ	ξ	PROPN
cana-1625	138	32	and	and	CCONJ
cana-1625	138	33	𝜚	𝜚	NOUN
cana-1625	138	34	>	>	X
cana-1625	138	35	0	0	PUNCT
cana-1625	139	1	and	and	CCONJ
cana-1625	139	2	let	let	VERB
cana-1625	139	3	𝔏	𝔏	PROPN
cana-1625	139	4	and	and	CCONJ
cana-1625	139	5	𝔐	𝔐	PRON
cana-1625	139	6	be	be	VERB
cana-1625	139	7	self	self	NOUN
cana-1625	139	8	mapping	mapping	NOUN
cana-1625	139	9	on	on	ADP
cana-1625	139	10	ξ	ξ	PROPN
cana-1625	139	11	.	.	PUNCT
cana-1625	140	1	if	if	SCONJ
cana-1625	140	2	there	there	PRON
cana-1625	140	3	exist	exist	VERB
cana-1625	140	4	𝔡	𝔡	PRON
cana-1625	140	5	∈	∈	NOUN
cana-1625	140	6	(	(	PUNCT
cana-1625	140	7	0	0	NUM
cana-1625	140	8	,	,	PUNCT
cana-1625	140	9	1	1	NUM
cana-1625	140	10	)	)	PUNCT
cana-1625	140	11	such	such	ADJ
cana-1625	140	12	that	that	SCONJ
cana-1625	140	13	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	140	14	,	,	PUNCT
cana-1625	140	15	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	140	16	,	,	PUNCT
cana-1625	140	17	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	140	18	)	)	PUNCT
cana-1625	140	19	≥	≥	NOUN
cana-1625	140	20	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	140	21	,	,	PUNCT
cana-1625	140	22	𝜍̃	𝜍̃	PROPN
cana-1625	140	23	,	,	PUNCT
cana-1625	140	24	𝜚	𝜚	NOUN
cana-1625	140	25	)	)	PUNCT
cana-1625	140	26	,	,	PUNCT
cana-1625	140	27	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	140	28	,	,	PUNCT
cana-1625	140	29	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	140	30	,	,	PUNCT
cana-1625	140	31	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	140	32	)	)	PUNCT
cana-1625	140	33	≤	≤	NOUN
cana-1625	140	34	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	140	35	,	,	PUNCT
cana-1625	140	36	𝜍̃	𝜍̃	PROPN
cana-1625	140	37	,	,	PUNCT
cana-1625	140	38	𝜚	𝜚	NOUN
cana-1625	140	39	)	)	PUNCT
cana-1625	140	40	and	and	CCONJ
cana-1625	140	41	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	140	42	,	,	PUNCT
cana-1625	140	43	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	140	44	,	,	PUNCT
cana-1625	140	45	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	140	46	)	)	PUNCT
cana-1625	140	47	≤	≤	PUNCT
cana-1625	140	48	𝔗(𝔨	𝔗(𝔨	X
cana-1625	140	49	,	,	PUNCT
cana-1625	140	50	𝜍̃	𝜍̃	PROPN
cana-1625	140	51	,	,	PUNCT
cana-1625	140	52	𝜚	𝜚	NOUN
cana-1625	140	53	)	)	PUNCT
cana-1625	140	54	for	for	ADP
cana-1625	140	55	all	all	DET
cana-1625	140	56	𝔨	𝔨	PROPN
cana-1625	140	57	,	,	PUNCT
cana-1625	140	58	𝜍̃	𝜍̃	PROPN
cana-1625	140	59	,	,	PUNCT
cana-1625	140	60	∈	∈	PROPN
cana-1625	140	61	ξ	ξ	PROPN
cana-1625	140	62	,	,	PUNCT
cana-1625	140	63	and	and	CCONJ
cana-1625	140	64	for	for	ADP
cana-1625	140	65	all	all	DET
cana-1625	140	66	𝜚	𝜚	NOUN
cana-1625	140	67	>	>	X
cana-1625	140	68	0	0	NUM
cana-1625	140	69	,	,	PUNCT
cana-1625	140	70	then	then	ADV
cana-1625	140	71	𝔏	𝔏	PROPN
cana-1625	140	72	have	have	VERB
cana-1625	140	73	a	a	DET
cana-1625	140	74	unique	unique	ADJ
cana-1625	140	75	fixed	fix	VERB
cana-1625	140	76	point	point	NOUN
cana-1625	140	77	in	in	ADP
cana-1625	140	78	ξ	ξ	PROPN
cana-1625	140	79	.	.	PUNCT
cana-1625	140	80	communications	communication	NOUN
cana-1625	140	81	on	on	ADP
cana-1625	140	82	applied	apply	VERB
cana-1625	140	83	nonlinear	nonlinear	ADJ
cana-1625	140	84	analysis	analysis	NOUN
cana-1625	140	85	issn	issn	NOUN
cana-1625	140	86	:	:	PUNCT
cana-1625	140	87	1074	1074	NUM
cana-1625	140	88	-	-	PUNCT
cana-1625	140	89	133x	133x	NUM
cana-1625	140	90	vol	vol	NOUN
cana-1625	140	91	32	32	NUM
cana-1625	140	92	no	no	NOUN
cana-1625	140	93	.	.	NOUN
cana-1625	140	94	1	1	NUM
cana-1625	140	95	(	(	PUNCT
cana-1625	140	96	2025	2025	NUM
cana-1625	140	97	)	)	PUNCT
cana-1625	140	98	119	119	NUM
cana-1625	140	99	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	141	1	theorem3.4	theorem3.4	NOUN
cana-1625	141	2	:	:	PUNCT
cana-1625	141	3	let	let	AUX
cana-1625	141	4	(	(	PUNCT
cana-1625	141	5	ξ	ξ	X
cana-1625	141	6	,	,	PUNCT
cana-1625	141	7	ℜ	ℜ	PROPN
cana-1625	141	8	,	,	PUNCT
cana-1625	141	9	𝔖	𝔖	PROPN
cana-1625	141	10	,	,	PUNCT
cana-1625	141	11	𝔗,∗	𝔗,∗	PROPN
cana-1625	141	12	,	,	PUNCT
cana-1625	141	13	⨀	⨀	PROPN
cana-1625	141	14	)	)	PUNCT
cana-1625	141	15	be	be	VERB
cana-1625	141	16	a	a	DET
cana-1625	141	17	nms	nms	NOUN
cana-1625	141	18	with	with	ADP
cana-1625	141	19	lim	lim	PROPN
cana-1625	141	20	𝜚→∞	𝜚→∞	X
cana-1625	141	21	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	141	22	,	,	PUNCT
cana-1625	141	23	𝜍̃	𝜍̃	PROPN
cana-1625	141	24	,	,	PUNCT
cana-1625	141	25	𝜚	𝜚	NOUN
cana-1625	141	26	)	)	PUNCT
cana-1625	141	27	=	=	SYM
cana-1625	141	28	1	1	NUM
cana-1625	141	29	,	,	PUNCT
cana-1625	141	30	lim	lim	PROPN
cana-1625	141	31	𝜚→∞	𝜚→∞	X
cana-1625	141	32	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	141	33	,	,	PUNCT
cana-1625	141	34	𝜍̃	𝜍̃	PROPN
cana-1625	141	35	,	,	PUNCT
cana-1625	141	36	𝜚	𝜚	NOUN
cana-1625	141	37	)	)	PUNCT
cana-1625	141	38	=	=	SYM
cana-1625	141	39	0	0	PUNCT
cana-1625	141	40	and	and	CCONJ
cana-1625	141	41	lim	lim	PROPN
cana-1625	141	42	𝜚→∞	𝜚→∞	X
cana-1625	141	43	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	141	44	,	,	PUNCT
cana-1625	141	45	𝜍̃	𝜍̃	PROPN
cana-1625	141	46	,	,	PUNCT
cana-1625	141	47	𝜚	𝜚	NOUN
cana-1625	141	48	)	)	PUNCT
cana-1625	141	49	=	=	SYM
cana-1625	141	50	0	0	NUM
cana-1625	141	51	,	,	PUNCT
cana-1625	141	52	for	for	ADP
cana-1625	141	53	all	all	DET
cana-1625	141	54	𝔨	𝔨	PROPN
cana-1625	141	55	,	,	PUNCT
cana-1625	141	56	𝜍̃	𝜍̃	PROPN
cana-1625	141	57	∈	∈	PROPN
cana-1625	141	58	ξ	ξ	PROPN
cana-1625	141	59	and	and	CCONJ
cana-1625	141	60	𝔄,̈	𝔄,̈	PROPN
cana-1625	141	61	�	�	PROPN
cana-1625	141	62	̈	̈	X
cana-1625	141	63	�	�	PROPN
cana-1625	141	64	,	,	PUNCT
cana-1625	141	65	𝔏	𝔏	PROPN
cana-1625	141	66	and	and	CCONJ
cana-1625	141	67	𝔚	𝔚	PROPN
cana-1625	141	68	be	be	VERB
cana-1625	141	69	self	self	NOUN
cana-1625	141	70	mappings	mapping	NOUN
cana-1625	141	71	on	on	ADP
cana-1625	141	72	ξ	ξ	NOUN
cana-1625	141	73	.	.	PUNCT
cana-1625	142	1	let	let	VERB
cana-1625	142	2	the	the	DET
cana-1625	142	3	pairs	pair	NOUN
cana-1625	142	4	{	{	PUNCT
cana-1625	142	5	𝔄,̈	𝔄,̈	PROPN
cana-1625	142	6	𝔏	𝔏	PROPN
cana-1625	142	7	}	}	PUNCT
cana-1625	142	8	and	and	CCONJ
cana-1625	142	9	{	{	PUNCT
cana-1625	142	10	�	�	PROPN
cana-1625	142	11	̈	̈	X
cana-1625	142	12	�	�	PROPN
cana-1625	142	13	,	,	PUNCT
cana-1625	142	14	𝔚	𝔚	PROPN
cana-1625	142	15	}	}	PUNCT
cana-1625	142	16	be	be	AUX
cana-1625	142	17	owc	owc	NOUN
cana-1625	142	18	.	.	PUNCT
cana-1625	143	1	if	if	SCONJ
cana-1625	143	2	there	there	PRON
cana-1625	143	3	exists	exist	VERB
cana-1625	143	4	𝔡	𝔡	X
cana-1625	143	5	∈	∈	PROPN
cana-1625	143	6	(	(	PUNCT
cana-1625	143	7	0	0	NUM
cana-1625	143	8	,	,	PUNCT
cana-1625	143	9	1	1	NUM
cana-1625	143	10	)	)	PUNCT
cana-1625	143	11	such	such	ADJ
cana-1625	143	12	that	that	PRON
cana-1625	143	13	ℜ(	ℜ(	ADJ
cana-1625	143	14	�	�	PROPN
cana-1625	143	15	̈	̈	NOUN
cana-1625	143	16	�	�	PROPN
cana-1625	143	17	𝔨	𝔨	PROPN
cana-1625	143	18	,	,	PUNCT
cana-1625	143	19	�	�	PROPN
cana-1625	143	20	̈	̈	X
cana-1625	143	21	�	�	PROPN
cana-1625	143	22	𝜍̃	𝜍̃	PROPN
cana-1625	143	23	,	,	PUNCT
cana-1625	143	24	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	143	25	)	)	PUNCT
cana-1625	143	26	≥	≥	NOUN
cana-1625	143	27	min{ℜ(𝔏𝔨	min{ℜ(𝔏𝔨	NUM
cana-1625	143	28	,	,	PUNCT
cana-1625	143	29	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	30	,	,	PUNCT
cana-1625	143	31	𝜚	𝜚	NOUN
cana-1625	143	32	)	)	PUNCT
cana-1625	143	33	,	,	PUNCT
cana-1625	143	34	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	143	35	,	,	PUNCT
cana-1625	143	36	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	143	37	,	,	PUNCT
cana-1625	143	38	𝜚	𝜚	NOUN
cana-1625	143	39	)	)	PUNCT
cana-1625	143	40	,	,	PUNCT
cana-1625	143	41	ℜ(	ℜ(	X
cana-1625	143	42	�	�	PROPN
cana-1625	143	43	̈	̈	NOUN
cana-1625	143	44	�	�	PROPN
cana-1625	143	45	𝜍̃	𝜍̃	PROPN
cana-1625	143	46	,	,	PUNCT
cana-1625	143	47	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	48	,	,	PUNCT
cana-1625	143	49	𝜚	𝜚	NOUN
cana-1625	143	50	)	)	PUNCT
cana-1625	143	51	,	,	PUNCT
cana-1625	143	52	ℜ(	ℜ(	X
cana-1625	143	53	�	�	PROPN
cana-1625	143	54	̈	̈	X
cana-1625	143	55	�	�	PROPN
cana-1625	143	56	𝔨	𝔨	PROPN
cana-1625	143	57	,	,	PUNCT
cana-1625	143	58	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	59	,	,	PUNCT
cana-1625	143	60	𝜚	𝜚	NOUN
cana-1625	143	61	)	)	PUNCT
cana-1625	143	62	,	,	PUNCT
cana-1625	143	63	ℜ(	ℜ(	X
cana-1625	143	64	�	�	PROPN
cana-1625	143	65	̈	̈	NUM
cana-1625	143	66	�	�	PROPN
cana-1625	143	67	𝜍̃	𝜍̃	PROPN
cana-1625	143	68	,	,	PUNCT
cana-1625	143	69	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	143	70	,	,	PUNCT
cana-1625	143	71	𝜚)}(3.4.1	𝜚)}(3.4.1	NOUN
cana-1625	143	72	)	)	PUNCT
cana-1625	143	73	𝔖(	𝔖(	ADJ
cana-1625	143	74	�	�	PROPN
cana-1625	143	75	̈	̈	X
cana-1625	143	76	�	�	PROPN
cana-1625	143	77	𝔨	𝔨	PROPN
cana-1625	143	78	,	,	PUNCT
cana-1625	143	79	�	�	PROPN
cana-1625	143	80	̈	̈	X
cana-1625	143	81	�	�	PROPN
cana-1625	143	82	𝜍̃	𝜍̃	PROPN
cana-1625	143	83	,	,	PUNCT
cana-1625	143	84	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	143	85	)	)	PUNCT
cana-1625	143	86	≤	≤	NOUN
cana-1625	143	87	max{𝔖(𝔏𝔨	max{𝔖(𝔏𝔨	X
cana-1625	143	88	,	,	PUNCT
cana-1625	143	89	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	90	,	,	PUNCT
cana-1625	143	91	𝜚	𝜚	NOUN
cana-1625	143	92	)	)	PUNCT
cana-1625	143	93	,	,	PUNCT
cana-1625	143	94	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	143	95	,	,	PUNCT
cana-1625	143	96	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	143	97	,	,	PUNCT
cana-1625	143	98	𝜚	𝜚	NOUN
cana-1625	143	99	)	)	PUNCT
cana-1625	143	100	,	,	PUNCT
cana-1625	143	101	𝔖(	𝔖(	PROPN
cana-1625	143	102	�	�	PROPN
cana-1625	143	103	̈	̈	X
cana-1625	143	104	�	�	PROPN
cana-1625	143	105	𝜍̃	𝜍̃	PROPN
cana-1625	143	106	,	,	PUNCT
cana-1625	143	107	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	108	,	,	PUNCT
cana-1625	143	109	𝜚	𝜚	NOUN
cana-1625	143	110	)	)	PUNCT
cana-1625	143	111	,	,	PUNCT
cana-1625	143	112	𝔖(	𝔖(	PROPN
cana-1625	143	113	�	�	PROPN
cana-1625	143	114	̈	̈	X
cana-1625	143	115	�	�	PROPN
cana-1625	143	116	𝔨	𝔨	PROPN
cana-1625	143	117	,	,	PUNCT
cana-1625	143	118	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	119	,	,	PUNCT
cana-1625	143	120	𝜚	𝜚	NOUN
cana-1625	143	121	)	)	PUNCT
cana-1625	143	122	,	,	PUNCT
cana-1625	143	123	𝔖(	𝔖(	PROPN
cana-1625	143	124	�	�	PROPN
cana-1625	143	125	̈	̈	X
cana-1625	143	126	�	�	PROPN
cana-1625	143	127	𝜍̃	𝜍̃	PROPN
cana-1625	143	128	,	,	PUNCT
cana-1625	143	129	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	143	130	,	,	PUNCT
cana-1625	143	131	𝜚)}(3.4.2	𝜚)}(3.4.2	PROPN
cana-1625	143	132	)	)	PUNCT
cana-1625	143	133	𝔗(	𝔗(	PROPN
cana-1625	143	134	�	�	PROPN
cana-1625	143	135	̈	̈	SYM
cana-1625	143	136	�	�	PROPN
cana-1625	143	137	𝔨	𝔨	PROPN
cana-1625	143	138	,	,	PUNCT
cana-1625	143	139	�	�	PROPN
cana-1625	143	140	̈	̈	X
cana-1625	143	141	�	�	PROPN
cana-1625	143	142	𝜍̃	𝜍̃	PROPN
cana-1625	143	143	,	,	PUNCT
cana-1625	143	144	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	143	145	)	)	PUNCT
cana-1625	143	146	≤	≤	NOUN
cana-1625	143	147	max{𝔗(𝔏𝔨	max{𝔗(𝔏𝔨	NOUN
cana-1625	143	148	,	,	PUNCT
cana-1625	143	149	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	150	,	,	PUNCT
cana-1625	143	151	𝜚	𝜚	NOUN
cana-1625	143	152	)	)	PUNCT
cana-1625	143	153	,	,	PUNCT
cana-1625	143	154	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	143	155	,	,	PUNCT
cana-1625	143	156	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	143	157	,	,	PUNCT
cana-1625	143	158	𝜚	𝜚	NOUN
cana-1625	143	159	)	)	PUNCT
cana-1625	143	160	,	,	PUNCT
cana-1625	143	161	𝔗(	𝔗(	ADJ
cana-1625	143	162	�	�	PROPN
cana-1625	143	163	̈	̈	NOUN
cana-1625	143	164	�	�	PROPN
cana-1625	143	165	𝜍̃	𝜍̃	PROPN
cana-1625	143	166	,	,	PUNCT
cana-1625	143	167	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	168	,	,	PUNCT
cana-1625	143	169	𝜚	𝜚	NOUN
cana-1625	143	170	)	)	PUNCT
cana-1625	143	171	,	,	PUNCT
cana-1625	143	172	𝔗(	𝔗(	ADJ
cana-1625	143	173	�	�	PROPN
cana-1625	143	174	̈	̈	SYM
cana-1625	143	175	�	�	PROPN
cana-1625	143	176	𝔨	𝔨	PROPN
cana-1625	143	177	,	,	PUNCT
cana-1625	143	178	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	143	179	,	,	PUNCT
cana-1625	143	180	𝜚	𝜚	NOUN
cana-1625	143	181	)	)	PUNCT
cana-1625	143	182	,	,	PUNCT
cana-1625	143	183	𝔗(	𝔗(	ADJ
cana-1625	143	184	�	�	PROPN
cana-1625	143	185	̈	̈	NOUN
cana-1625	143	186	�	�	PROPN
cana-1625	143	187	𝜍̃	𝜍̃	PROPN
cana-1625	143	188	,	,	PUNCT
cana-1625	143	189	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	143	190	,	,	PUNCT
cana-1625	143	191	𝜚)}(3.4.3	𝜚)}(3.4.3	NOUN
cana-1625	143	192	)	)	PUNCT
cana-1625	143	193	for	for	ADP
cana-1625	143	194	all	all	DET
cana-1625	143	195	𝔨	𝔨	PROPN
cana-1625	143	196	,	,	PUNCT
cana-1625	143	197	𝜍̃	𝜍̃	PROPN
cana-1625	143	198	∈	∈	PROPN
cana-1625	143	199	ξ	ξ	PROPN
cana-1625	143	200	and	and	CCONJ
cana-1625	143	201	𝜚	𝜚	X
cana-1625	143	202	>	>	X
cana-1625	143	203	0	0	NUM
cana-1625	143	204	,	,	PUNCT
cana-1625	143	205	then	then	ADV
cana-1625	143	206	𝔄,̈	𝔄,̈	PROPN
cana-1625	143	207	�	�	PROPN
cana-1625	143	208	̈	̈	X
cana-1625	143	209	�	�	PROPN
cana-1625	143	210	,	,	PUNCT
cana-1625	143	211	𝔏	𝔏	PROPN
cana-1625	143	212	and	and	CCONJ
cana-1625	143	213	𝔚	𝔚	PROPN
cana-1625	143	214	have	have	VERB
cana-1625	143	215	a	a	DET
cana-1625	143	216	unique	unique	ADJ
cana-1625	143	217	common	common	ADJ
cana-1625	143	218	fixed	fix	VERB
cana-1625	143	219	point	point	NOUN
cana-1625	143	220	in	in	ADP
cana-1625	143	221	ξ	ξ	PROPN
cana-1625	143	222	.	.	PUNCT
cana-1625	144	1	proof	proof	NOUN
cana-1625	144	2	:	:	PUNCT
cana-1625	144	3	since	since	SCONJ
cana-1625	144	4	the	the	DET
cana-1625	144	5	pairs	pair	NOUN
cana-1625	144	6	{	{	PUNCT
cana-1625	144	7	𝔄,̈	𝔄,̈	PROPN
cana-1625	144	8	𝔏	𝔏	PROPN
cana-1625	144	9	}	}	PUNCT
cana-1625	144	10	and	and	CCONJ
cana-1625	144	11	{	{	PUNCT
cana-1625	144	12	�	�	PROPN
cana-1625	144	13	̈	̈	X
cana-1625	144	14	�	�	PROPN
cana-1625	144	15	,	,	PUNCT
cana-1625	144	16	𝔚	𝔚	PROPN
cana-1625	144	17	}	}	PUNCT
cana-1625	144	18	be	be	AUX
cana-1625	144	19	owc	owc	NUM
cana-1625	144	20	,	,	PUNCT
cana-1625	144	21	so	so	SCONJ
cana-1625	144	22	there	there	PRON
cana-1625	144	23	are	be	VERB
cana-1625	144	24	point	point	NOUN
cana-1625	144	25	𝔨	𝔨	PROPN
cana-1625	144	26	,	,	PUNCT
cana-1625	144	27	𝜍̃	𝜍̃	PROPN
cana-1625	144	28	∈	∈	PROPN
cana-1625	144	29	ξ	ξ	ADP
cana-1625	144	30	such	such	ADJ
cana-1625	144	31	that	that	DET
cana-1625	144	32	�	�	PROPN
cana-1625	144	33	̈	̈	X
cana-1625	144	34	�	�	NOUN
cana-1625	144	35	(𝔨	(𝔨	NOUN
cana-1625	144	36	)	)	PUNCT
cana-1625	144	37	=	=	SYM
cana-1625	145	1	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	145	2	)	)	PUNCT
cana-1625	145	3	and	and	CCONJ
cana-1625	145	4	�	�	PROPN
cana-1625	145	5	̈	̈	SYM
cana-1625	145	6	�	�	NOUN
cana-1625	145	7	(𝜍̃	(𝜍̃	SYM
cana-1625	145	8	)	)	PUNCT
cana-1625	145	9	=	=	SYM
cana-1625	145	10	𝔚(𝜍̃	𝔚(𝜍̃	NOUN
cana-1625	145	11	)	)	PUNCT
cana-1625	145	12	.	.	PUNCT
cana-1625	146	1	now	now	ADV
cana-1625	146	2	,	,	PUNCT
cana-1625	146	3	by	by	ADP
cana-1625	146	4	the	the	DET
cana-1625	146	5	given	give	VERB
cana-1625	146	6	conditions	condition	NOUN
cana-1625	146	7	(	(	PUNCT
cana-1625	146	8	3.4.1	3.4.1	NUM
cana-1625	146	9	)	)	PUNCT
cana-1625	146	10	and	and	CCONJ
cana-1625	146	11	(	(	PUNCT
cana-1625	146	12	3.4.2	3.4.2	X
cana-1625	146	13	)	)	PUNCT
cana-1625	146	14	we	we	PRON
cana-1625	146	15	get	get	VERB
cana-1625	146	16	ℜ(	ℜ(	ADJ
cana-1625	146	17	�	�	PROPN
cana-1625	146	18	̈	̈	X
cana-1625	146	19	�	�	PROPN
cana-1625	146	20	𝔨	𝔨	PROPN
cana-1625	146	21	,	,	PUNCT
cana-1625	146	22	�	�	PROPN
cana-1625	146	23	̈	̈	X
cana-1625	146	24	�	�	PROPN
cana-1625	146	25	𝜍̃	𝜍̃	PROPN
cana-1625	146	26	,	,	PUNCT
cana-1625	146	27	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	146	28	)	)	PUNCT
cana-1625	146	29	≥	≥	NOUN
cana-1625	146	30	min{ℜ(𝔏𝔨	min{ℜ(𝔏𝔨	NUM
cana-1625	146	31	,	,	PUNCT
cana-1625	146	32	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	146	33	,	,	PUNCT
cana-1625	146	34	𝜚	𝜚	NOUN
cana-1625	146	35	)	)	PUNCT
cana-1625	146	36	,	,	PUNCT
cana-1625	146	37	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	146	38	,	,	PUNCT
cana-1625	146	39	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	146	40	,	,	PUNCT
cana-1625	146	41	𝜚	𝜚	NOUN
cana-1625	146	42	)	)	PUNCT
cana-1625	146	43	,	,	PUNCT
cana-1625	146	44	ℜ(	ℜ(	X
cana-1625	146	45	�	�	PROPN
cana-1625	146	46	̈	̈	NOUN
cana-1625	146	47	�	�	PROPN
cana-1625	146	48	𝜍̃	𝜍̃	PROPN
cana-1625	146	49	,	,	PUNCT
cana-1625	146	50	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	146	51	,	,	PUNCT
cana-1625	146	52	𝜚	𝜚	NOUN
cana-1625	146	53	)	)	PUNCT
cana-1625	146	54	,	,	PUNCT
cana-1625	146	55	ℜ(	ℜ(	X
cana-1625	146	56	�	�	PROPN
cana-1625	146	57	̈	̈	X
cana-1625	146	58	�	�	PROPN
cana-1625	146	59	𝔨	𝔨	PROPN
cana-1625	146	60	,	,	PUNCT
cana-1625	146	61	�	�	PROPN
cana-1625	146	62	̈	̈	X
cana-1625	146	63	�	�	PROPN
cana-1625	146	64	𝜍̃	𝜍̃	PROPN
cana-1625	146	65	,	,	PUNCT
cana-1625	146	66	𝜚	𝜚	NOUN
cana-1625	146	67	)	)	PUNCT
cana-1625	146	68	,	,	PUNCT
cana-1625	146	69	ℜ(	ℜ(	X
cana-1625	146	70	�	�	PROPN
cana-1625	146	71	̈	̈	NUM
cana-1625	146	72	�	�	PROPN
cana-1625	146	73	𝜍̃	𝜍̃	PROPN
cana-1625	146	74	,	,	PUNCT
cana-1625	146	75	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	146	76	,	,	PUNCT
cana-1625	146	77	𝜚	𝜚	NOUN
cana-1625	146	78	)	)	PUNCT
cana-1625	146	79	}	}	PUNCT
cana-1625	146	80	=	=	SYM
cana-1625	146	81	min{ℜ(	min{ℜ(	NOUN
cana-1625	146	82	�	�	PROPN
cana-1625	146	83	̈	̈	X
cana-1625	146	84	�	�	PROPN
cana-1625	146	85	𝔨	𝔨	PROPN
cana-1625	146	86	,	,	PUNCT
cana-1625	146	87	�	�	PROPN
cana-1625	146	88	̈	̈	X
cana-1625	146	89	�	�	PROPN
cana-1625	146	90	𝜍̃	𝜍̃	PROPN
cana-1625	146	91	,	,	PUNCT
cana-1625	146	92	𝜚	𝜚	NOUN
cana-1625	146	93	)	)	PUNCT
cana-1625	146	94	,	,	PUNCT
cana-1625	146	95	ℜ(	ℜ(	X
cana-1625	146	96	�	�	PROPN
cana-1625	146	97	̈	̈	X
cana-1625	146	98	�	�	PROPN
cana-1625	146	99	𝔨	𝔨	PROPN
cana-1625	146	100	,	,	PUNCT
cana-1625	146	101	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	146	102	,	,	PUNCT
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cana-1625	146	104	)	)	PUNCT
cana-1625	146	105	,	,	PUNCT
cana-1625	146	106	ℜ(	ℜ(	X
cana-1625	146	107	�	�	PROPN
cana-1625	146	108	̈	̈	NUM
cana-1625	146	109	�	�	PROPN
cana-1625	146	110	𝜍̃	𝜍̃	PROPN
cana-1625	146	111	,	,	PUNCT
cana-1625	146	112	�	�	PROPN
cana-1625	146	113	̈	̈	X
cana-1625	146	114	�	�	PROPN
cana-1625	146	115	𝜍̃	𝜍̃	PROPN
cana-1625	146	116	,	,	PUNCT
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cana-1625	146	118	)	)	PUNCT
cana-1625	146	119	,	,	PUNCT
cana-1625	146	120	ℜ(	ℜ(	X
cana-1625	146	121	�	�	PROPN
cana-1625	146	122	̈	̈	X
cana-1625	146	123	�	�	PROPN
cana-1625	146	124	𝔨	𝔨	PROPN
cana-1625	146	125	,	,	PUNCT
cana-1625	146	126	�	�	PROPN
cana-1625	146	127	̈	̈	X
cana-1625	146	128	�	�	PROPN
cana-1625	146	129	𝜍̃	𝜍̃	PROPN
cana-1625	146	130	,	,	PUNCT
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cana-1625	146	132	)	)	PUNCT
cana-1625	146	133	,	,	PUNCT
cana-1625	146	134	ℜ(	ℜ(	X
cana-1625	146	135	�	�	PROPN
cana-1625	146	136	̈	̈	NUM
cana-1625	146	137	�	�	PROPN
cana-1625	146	138	𝜍̃	𝜍̃	PROPN
cana-1625	146	139	,	,	PUNCT
cana-1625	146	140	�	�	PROPN
cana-1625	146	141	̈	̈	X
cana-1625	146	142	�	�	PROPN
cana-1625	146	143	𝔨	𝔨	PROPN
cana-1625	146	144	,	,	PUNCT
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cana-1625	146	146	)	)	PUNCT
cana-1625	146	147	}	}	PUNCT
cana-1625	146	148	=	=	SYM
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cana-1625	146	150	�	�	PROPN
cana-1625	146	151	̈	̈	X
cana-1625	146	152	�	�	PROPN
cana-1625	146	153	𝔨	𝔨	PROPN
cana-1625	146	154	,	,	PUNCT
cana-1625	146	155	�	�	PROPN
cana-1625	146	156	̈	̈	X
cana-1625	146	157	�	�	PROPN
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cana-1625	146	159	,	,	PUNCT
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cana-1625	146	162	,	,	PUNCT
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cana-1625	146	166	,	,	PUNCT
cana-1625	146	167	ℜ(	ℜ(	X
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cana-1625	146	169	̈	̈	X
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cana-1625	146	171	𝔨	𝔨	PROPN
cana-1625	146	172	,	,	PUNCT
cana-1625	146	173	�	�	PROPN
cana-1625	146	174	̈	̈	X
cana-1625	146	175	�	�	PROPN
cana-1625	146	176	𝜍̃	𝜍̃	PROPN
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cana-1625	146	180	,	,	PUNCT
cana-1625	146	181	ℜ(	ℜ(	X
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cana-1625	146	183	̈	̈	NUM
cana-1625	146	184	�	�	PROPN
cana-1625	146	185	𝜍̃	𝜍̃	PROPN
cana-1625	146	186	,	,	PUNCT
cana-1625	146	187	�	�	PROPN
cana-1625	146	188	̈	̈	X
cana-1625	146	189	�	�	PROPN
cana-1625	146	190	𝔨	𝔨	PROPN
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cana-1625	146	193	)	)	PUNCT
cana-1625	146	194	}	}	PUNCT
cana-1625	146	195	=	=	SYM
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cana-1625	146	198	̈	̈	X
cana-1625	146	199	�	�	PROPN
cana-1625	146	200	𝔨	𝔨	PROPN
cana-1625	146	201	,	,	PUNCT
cana-1625	146	202	�	�	PROPN
cana-1625	146	203	̈	̈	X
cana-1625	146	204	�	�	PROPN
cana-1625	146	205	𝜍̃	𝜍̃	PROPN
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cana-1625	146	208	)	)	PUNCT
cana-1625	146	209	.	.	PUNCT
cana-1625	147	1	𝔖(	𝔖(	PROPN
cana-1625	147	2	�	�	PROPN
cana-1625	147	3	̈	̈	X
cana-1625	147	4	�	�	PROPN
cana-1625	147	5	𝔨	𝔨	PROPN
cana-1625	147	6	,	,	PUNCT
cana-1625	147	7	�	�	PROPN
cana-1625	147	8	̈	̈	X
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cana-1625	147	16	,	,	PUNCT
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cana-1625	147	20	)	)	PUNCT
cana-1625	147	21	,	,	PUNCT
cana-1625	147	22	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	147	23	,	,	PUNCT
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cana-1625	147	25	,	,	PUNCT
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cana-1625	147	27	)	)	PUNCT
cana-1625	147	28	,	,	PUNCT
cana-1625	147	29	𝔖(	𝔖(	PROPN
cana-1625	147	30	�	�	PROPN
cana-1625	147	31	̈	̈	X
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cana-1625	147	33	𝜍̃	𝜍̃	PROPN
cana-1625	147	34	,	,	PUNCT
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cana-1625	147	39	,	,	PUNCT
cana-1625	147	40	𝔖(	𝔖(	PROPN
cana-1625	147	41	�	�	PROPN
cana-1625	147	42	̈	̈	X
cana-1625	147	43	�	�	PROPN
cana-1625	147	44	𝔨	𝔨	PROPN
cana-1625	147	45	,	,	PUNCT
cana-1625	147	46	�	�	PROPN
cana-1625	147	47	̈	̈	X
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cana-1625	147	49	𝜍̃	𝜍̃	PROPN
cana-1625	147	50	,	,	PUNCT
cana-1625	147	51	𝜚	𝜚	NOUN
cana-1625	147	52	)	)	PUNCT
cana-1625	147	53	,	,	PUNCT
cana-1625	147	54	𝔖(	𝔖(	PROPN
cana-1625	147	55	�	�	PROPN
cana-1625	147	56	̈	̈	X
cana-1625	147	57	�	�	PROPN
cana-1625	147	58	𝜍̃	𝜍̃	PROPN
cana-1625	147	59	,	,	PUNCT
cana-1625	147	60	𝔏𝔨	𝔏𝔨	PROPN
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cana-1625	147	63	)	)	PUNCT
cana-1625	147	64	}	}	PUNCT
cana-1625	147	65	=	=	SYM
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cana-1625	147	68	𝔖(	𝔖(	PROPN
cana-1625	147	69	�	�	PROPN
cana-1625	147	70	̈	̈	X
cana-1625	147	71	�	�	PROPN
cana-1625	147	72	𝔨	𝔨	PROPN
cana-1625	147	73	,	,	PUNCT
cana-1625	147	74	�	�	PROPN
cana-1625	147	75	̈	̈	X
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cana-1625	147	77	𝜍̃	𝜍̃	PROPN
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cana-1625	147	81	,	,	PUNCT
cana-1625	147	82	𝔖(	𝔖(	PROPN
cana-1625	147	83	�	�	PROPN
cana-1625	147	84	̈	̈	X
cana-1625	147	85	�	�	PROPN
cana-1625	147	86	𝔨	𝔨	PROPN
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cana-1625	147	92	,	,	PUNCT
cana-1625	147	93	𝔖(	𝔖(	PROPN
cana-1625	147	94	�	�	PROPN
cana-1625	147	95	̈	̈	X
cana-1625	147	96	�	�	PROPN
cana-1625	147	97	𝜍̃	𝜍̃	PROPN
cana-1625	147	98	,	,	PUNCT
cana-1625	147	99	�	�	PROPN
cana-1625	147	100	̈	̈	X
cana-1625	147	101	�	�	PROPN
cana-1625	147	102	𝜍̃	𝜍̃	PROPN
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cana-1625	147	105	)	)	PUNCT
cana-1625	147	106	,	,	PUNCT
cana-1625	147	107	𝔖(	𝔖(	PROPN
cana-1625	147	108	�	�	PROPN
cana-1625	147	109	̈	̈	X
cana-1625	147	110	�	�	PROPN
cana-1625	147	111	𝔨	𝔨	PROPN
cana-1625	147	112	,	,	PUNCT
cana-1625	147	113	�	�	PROPN
cana-1625	147	114	̈	̈	X
cana-1625	147	115	�	�	PROPN
cana-1625	147	116	𝜍̃	𝜍̃	PROPN
cana-1625	147	117	,	,	PUNCT
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cana-1625	147	119	)	)	PUNCT
cana-1625	147	120	,	,	PUNCT
cana-1625	147	121	𝔖(	𝔖(	PROPN
cana-1625	147	122	�	�	PROPN
cana-1625	147	123	̈	̈	X
cana-1625	147	124	�	�	PROPN
cana-1625	147	125	𝜍̃	𝜍̃	PROPN
cana-1625	147	126	,	,	PUNCT
cana-1625	147	127	�	�	PROPN
cana-1625	147	128	̈	̈	X
cana-1625	147	129	�	�	PROPN
cana-1625	147	130	𝔨	𝔨	PROPN
cana-1625	147	131	,	,	PUNCT
cana-1625	147	132	𝜚	𝜚	NOUN
cana-1625	147	133	)	)	PUNCT
cana-1625	147	134	}	}	PUNCT
cana-1625	147	135	=	=	SYM
cana-1625	147	136	max{𝔖(	max{𝔖(	X
cana-1625	147	137	�	�	PROPN
cana-1625	147	138	̈	̈	X
cana-1625	147	139	�	�	PROPN
cana-1625	147	140	𝔨	𝔨	PROPN
cana-1625	147	141	,	,	PUNCT
cana-1625	147	142	�	�	PROPN
cana-1625	147	143	̈	̈	X
cana-1625	147	144	�	�	PROPN
cana-1625	147	145	𝜍̃	𝜍̃	PROPN
cana-1625	147	146	,	,	PUNCT
cana-1625	147	147	𝜚	𝜚	NOUN
cana-1625	147	148	)	)	PUNCT
cana-1625	147	149	,	,	PUNCT
cana-1625	147	150	0	0	NUM
cana-1625	147	151	,	,	PUNCT
cana-1625	147	152	0	0	NUM
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cana-1625	147	154	𝔖(	𝔖(	NOUN
cana-1625	147	155	�	�	PROPN
cana-1625	147	156	̈	̈	X
cana-1625	147	157	�	�	PROPN
cana-1625	147	158	𝔨	𝔨	PROPN
cana-1625	147	159	,	,	PUNCT
cana-1625	147	160	�	�	PROPN
cana-1625	147	161	̈	̈	X
cana-1625	147	162	�	�	PROPN
cana-1625	147	163	𝜍̃	𝜍̃	PROPN
cana-1625	147	164	,	,	PUNCT
cana-1625	147	165	𝜚	𝜚	NOUN
cana-1625	147	166	)	)	PUNCT
cana-1625	147	167	,	,	PUNCT
cana-1625	147	168	𝔖(	𝔖(	PROPN
cana-1625	147	169	�	�	PROPN
cana-1625	147	170	̈	̈	X
cana-1625	147	171	�	�	PROPN
cana-1625	147	172	𝜍̃	𝜍̃	PROPN
cana-1625	147	173	,	,	PUNCT
cana-1625	147	174	�	�	PROPN
cana-1625	147	175	̈	̈	X
cana-1625	147	176	�	�	PROPN
cana-1625	147	177	𝔨	𝔨	PROPN
cana-1625	147	178	,	,	PUNCT
cana-1625	147	179	𝜚	𝜚	NOUN
cana-1625	147	180	)	)	PUNCT
cana-1625	147	181	}	}	PUNCT
cana-1625	147	182	=	=	SYM
cana-1625	147	183	𝔖(	𝔖(	ADJ
cana-1625	147	184	�	�	PROPN
cana-1625	147	185	̈	̈	X
cana-1625	147	186	�	�	PROPN
cana-1625	147	187	𝔨	𝔨	PROPN
cana-1625	147	188	,	,	PUNCT
cana-1625	147	189	�	�	PROPN
cana-1625	147	190	̈	̈	X
cana-1625	147	191	�	�	PROPN
cana-1625	147	192	𝜍̃	𝜍̃	PROPN
cana-1625	147	193	,	,	PUNCT
cana-1625	147	194	𝜚	𝜚	NOUN
cana-1625	147	195	)	)	PUNCT
cana-1625	147	196	.	.	PUNCT
cana-1625	148	1	𝔗(	𝔗(	PROPN
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cana-1625	148	3	̈	̈	SYM
cana-1625	148	4	�	�	PROPN
cana-1625	148	5	𝔨	𝔨	PROPN
cana-1625	148	6	,	,	PUNCT
cana-1625	148	7	�	�	PROPN
cana-1625	148	8	̈	̈	X
cana-1625	148	9	�	�	PROPN
cana-1625	148	10	𝜍̃	𝜍̃	PROPN
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cana-1625	148	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	148	13	)	)	PUNCT
cana-1625	148	14	≤	≤	NOUN
cana-1625	148	15	max{𝔗(𝔏𝔨	max{𝔗(𝔏𝔨	NOUN
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cana-1625	148	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
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cana-1625	148	19	𝜚	𝜚	NOUN
cana-1625	148	20	)	)	PUNCT
cana-1625	148	21	,	,	PUNCT
cana-1625	148	22	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	148	23	,	,	PUNCT
cana-1625	148	24	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	148	25	,	,	PUNCT
cana-1625	148	26	𝜚	𝜚	NOUN
cana-1625	148	27	)	)	PUNCT
cana-1625	148	28	,	,	PUNCT
cana-1625	148	29	𝔗(	𝔗(	ADJ
cana-1625	148	30	�	�	PROPN
cana-1625	148	31	̈	̈	NOUN
cana-1625	148	32	�	�	PROPN
cana-1625	148	33	𝜍̃	𝜍̃	PROPN
cana-1625	148	34	,	,	PUNCT
cana-1625	148	35	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	148	36	,	,	PUNCT
cana-1625	148	37	𝜚	𝜚	NOUN
cana-1625	148	38	)	)	PUNCT
cana-1625	148	39	,	,	PUNCT
cana-1625	148	40	𝔗(	𝔗(	ADJ
cana-1625	148	41	�	�	PROPN
cana-1625	148	42	̈	̈	SYM
cana-1625	148	43	�	�	PROPN
cana-1625	148	44	𝔨	𝔨	PROPN
cana-1625	148	45	,	,	PUNCT
cana-1625	148	46	�	�	PROPN
cana-1625	148	47	̈	̈	X
cana-1625	148	48	�	�	PROPN
cana-1625	148	49	𝜍̃	𝜍̃	PROPN
cana-1625	148	50	,	,	PUNCT
cana-1625	148	51	𝜚	𝜚	NOUN
cana-1625	148	52	)	)	PUNCT
cana-1625	148	53	,	,	PUNCT
cana-1625	148	54	𝔗(	𝔗(	ADJ
cana-1625	148	55	�	�	PROPN
cana-1625	148	56	̈	̈	NOUN
cana-1625	148	57	�	�	PROPN
cana-1625	148	58	𝜍̃	𝜍̃	PROPN
cana-1625	148	59	,	,	PUNCT
cana-1625	148	60	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	148	61	,	,	PUNCT
cana-1625	148	62	𝜚	𝜚	NOUN
cana-1625	148	63	)	)	PUNCT
cana-1625	148	64	}	}	PUNCT
cana-1625	148	65	=	=	SYM
cana-1625	148	66	max	max	PROPN
cana-1625	148	67	{	{	PUNCT
cana-1625	148	68	𝔗(	𝔗(	PROPN
cana-1625	148	69	�	�	PROPN
cana-1625	148	70	̈	̈	SYM
cana-1625	148	71	�	�	PROPN
cana-1625	148	72	𝔨	𝔨	PROPN
cana-1625	148	73	,	,	PUNCT
cana-1625	148	74	�	�	PROPN
cana-1625	148	75	̈	̈	X
cana-1625	148	76	�	�	PROPN
cana-1625	148	77	𝜍̃	𝜍̃	PROPN
cana-1625	148	78	,	,	PUNCT
cana-1625	148	79	𝜚	𝜚	NOUN
cana-1625	148	80	)	)	PUNCT
cana-1625	148	81	,	,	PUNCT
cana-1625	148	82	𝔗(	𝔗(	ADJ
cana-1625	148	83	�	�	PROPN
cana-1625	148	84	̈	̈	SYM
cana-1625	148	85	�	�	PROPN
cana-1625	148	86	𝔨	𝔨	PROPN
cana-1625	148	87	,	,	PUNCT
cana-1625	148	88	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	148	89	,	,	PUNCT
cana-1625	148	90	𝜚	𝜚	NOUN
cana-1625	148	91	)	)	PUNCT
cana-1625	148	92	,	,	PUNCT
cana-1625	148	93	𝔗(	𝔗(	ADJ
cana-1625	148	94	�	�	PROPN
cana-1625	148	95	̈	̈	NOUN
cana-1625	148	96	�	�	PROPN
cana-1625	148	97	𝜍̃	𝜍̃	PROPN
cana-1625	148	98	,	,	PUNCT
cana-1625	148	99	�	�	PROPN
cana-1625	148	100	̈	̈	X
cana-1625	148	101	�	�	PROPN
cana-1625	148	102	𝜍̃	𝜍̃	PROPN
cana-1625	148	103	,	,	PUNCT
cana-1625	148	104	𝜚	𝜚	NOUN
cana-1625	148	105	)	)	PUNCT
cana-1625	148	106	,	,	PUNCT
cana-1625	148	107	𝔗(	𝔗(	ADJ
cana-1625	148	108	�	�	PROPN
cana-1625	148	109	̈	̈	SYM
cana-1625	148	110	�	�	PROPN
cana-1625	148	111	𝔨	𝔨	PROPN
cana-1625	148	112	,	,	PUNCT
cana-1625	148	113	�	�	PROPN
cana-1625	148	114	̈	̈	X
cana-1625	148	115	�	�	PROPN
cana-1625	148	116	𝜍̃	𝜍̃	PROPN
cana-1625	148	117	,	,	PUNCT
cana-1625	148	118	𝜚	𝜚	NOUN
cana-1625	148	119	)	)	PUNCT
cana-1625	148	120	,	,	PUNCT
cana-1625	148	121	𝔗(	𝔗(	ADJ
cana-1625	148	122	�	�	PROPN
cana-1625	148	123	̈	̈	NOUN
cana-1625	148	124	�	�	PROPN
cana-1625	148	125	𝜍̃	𝜍̃	PROPN
cana-1625	148	126	,	,	PUNCT
cana-1625	148	127	�	�	PROPN
cana-1625	148	128	̈	̈	X
cana-1625	148	129	�	�	PROPN
cana-1625	148	130	𝔨	𝔨	PROPN
cana-1625	148	131	,	,	PUNCT
cana-1625	148	132	𝜚	𝜚	NOUN
cana-1625	148	133	)	)	PUNCT
cana-1625	148	134	}	}	PUNCT
cana-1625	148	135	=	=	SYM
cana-1625	148	136	max{𝔗(	max{𝔗(	NOUN
cana-1625	148	137	�	�	PROPN
cana-1625	148	138	̈	̈	X
cana-1625	148	139	�	�	PROPN
cana-1625	148	140	𝔨	𝔨	PROPN
cana-1625	148	141	,	,	PUNCT
cana-1625	148	142	�	�	PROPN
cana-1625	148	143	̈	̈	X
cana-1625	148	144	�	�	PROPN
cana-1625	148	145	𝜍̃	𝜍̃	PROPN
cana-1625	148	146	,	,	PUNCT
cana-1625	148	147	𝜚	𝜚	NOUN
cana-1625	148	148	)	)	PUNCT
cana-1625	148	149	,	,	PUNCT
cana-1625	148	150	0	0	NUM
cana-1625	148	151	,	,	PUNCT
cana-1625	148	152	0	0	NUM
cana-1625	148	153	,	,	PUNCT
cana-1625	148	154	𝔗(	𝔗(	ADJ
cana-1625	148	155	�	�	PROPN
cana-1625	148	156	̈	̈	SYM
cana-1625	148	157	�	�	PROPN
cana-1625	148	158	𝔨	𝔨	PROPN
cana-1625	148	159	,	,	PUNCT
cana-1625	148	160	�	�	PROPN
cana-1625	148	161	̈	̈	X
cana-1625	148	162	�	�	PROPN
cana-1625	148	163	𝜍̃	𝜍̃	PROPN
cana-1625	148	164	,	,	PUNCT
cana-1625	148	165	𝜚	𝜚	NOUN
cana-1625	148	166	)	)	PUNCT
cana-1625	148	167	,	,	PUNCT
cana-1625	148	168	𝔗(	𝔗(	ADJ
cana-1625	148	169	�	�	PROPN
cana-1625	148	170	̈	̈	NOUN
cana-1625	148	171	�	�	PROPN
cana-1625	148	172	𝜍̃	𝜍̃	PROPN
cana-1625	148	173	,	,	PUNCT
cana-1625	148	174	�	�	PROPN
cana-1625	148	175	̈	̈	X
cana-1625	148	176	�	�	PROPN
cana-1625	148	177	𝔨	𝔨	PROPN
cana-1625	148	178	,	,	PUNCT
cana-1625	148	179	𝜚	𝜚	NOUN
cana-1625	148	180	)	)	PUNCT
cana-1625	148	181	}	}	PUNCT
cana-1625	148	182	=	=	SYM
cana-1625	148	183	𝔗(	𝔗(	ADJ
cana-1625	148	184	�	�	PROPN
cana-1625	148	185	̈	̈	SYM
cana-1625	148	186	�	�	PROPN
cana-1625	148	187	𝔨	𝔨	PROPN
cana-1625	148	188	,	,	PUNCT
cana-1625	148	189	�	�	PROPN
cana-1625	148	190	̈	̈	X
cana-1625	148	191	�	�	PROPN
cana-1625	148	192	𝜍̃	𝜍̃	PROPN
cana-1625	148	193	,	,	PUNCT
cana-1625	148	194	𝜚	𝜚	NOUN
cana-1625	148	195	)	)	PUNCT
cana-1625	148	196	.	.	PUNCT
cana-1625	149	1	in	in	ADP
cana-1625	149	2	view	view	NOUN
cana-1625	149	3	of	of	ADP
cana-1625	149	4	lemma	lemma	PROPN
cana-1625	149	5	(	(	PUNCT
cana-1625	149	6	2.9	2.9	NUM
cana-1625	149	7	)	)	PUNCT
cana-1625	149	8	,	,	PUNCT
cana-1625	149	9	we	we	PRON
cana-1625	149	10	have	have	VERB
cana-1625	149	11	�	�	PROPN
cana-1625	149	12	̈	̈	X
cana-1625	149	13	�	�	NOUN
cana-1625	149	14	𝔨	𝔨	NOUN
cana-1625	149	15	=	=	SYM
cana-1625	149	16	�	�	PROPN
cana-1625	149	17	̈	̈	X
cana-1625	149	18	�	�	NOUN
cana-1625	149	19	𝜍̃	𝜍̃	PROPN
cana-1625	149	20	and	and	CCONJ
cana-1625	149	21	therefore	therefore	ADV
cana-1625	149	22	�	�	PROPN
cana-1625	149	23	̈	̈	X
cana-1625	149	24	�	�	NOUN
cana-1625	149	25	𝔨	𝔨	NOUN
cana-1625	149	26	=	=	SYM
cana-1625	149	27	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	149	28	=	=	PUNCT
cana-1625	149	29	�	�	PROPN
cana-1625	149	30	̈	̈	X
cana-1625	149	31	�	�	NOUN
cana-1625	149	32	𝜍̃	𝜍̃	NOUN
cana-1625	149	33	=	=	SYM
cana-1625	149	34	𝔚𝜍̃.	𝔚𝜍̃.	PROPN
cana-1625	149	35	(	(	PUNCT
cana-1625	149	36	3.4.4	3.4.4	NUM
cana-1625	149	37	)	)	PUNCT
cana-1625	149	38	suppose	suppose	VERB
cana-1625	149	39	that	that	SCONJ
cana-1625	149	40	the	the	DET
cana-1625	149	41	pair	pair	NOUN
cana-1625	149	42	{	{	PUNCT
cana-1625	149	43	𝔄,̈	𝔄,̈	PROPN
cana-1625	149	44	𝔏	𝔏	PROPN
cana-1625	149	45	}	}	PUNCT
cana-1625	149	46	have	have	VERB
cana-1625	149	47	an	an	DET
cana-1625	149	48	another	another	DET
cana-1625	149	49	coincidence	coincidence	NOUN
cana-1625	149	50	point	point	NOUN
cana-1625	149	51	𝔴	𝔴	PROPN
cana-1625	149	52	∈	∈	PROPN
cana-1625	149	53	ξ	ξ	PROPN
cana-1625	149	54	.	.	PUNCT
cana-1625	150	1	i.e.	i.e.	X
cana-1625	150	2	,	,	PUNCT
cana-1625	150	3	�	�	NOUN
cana-1625	150	4	̈	̈	X
cana-1625	150	5	�	�	NOUN
cana-1625	150	6	𝔴	𝔴	NOUN
cana-1625	150	7	=	=	SYM
cana-1625	150	8	𝔏𝔴.	𝔏𝔴.	PROPN
cana-1625	150	9	now	now	ADV
cana-1625	150	10	,	,	PUNCT
cana-1625	150	11	ℜ(	ℜ(	X
cana-1625	150	12	�	�	PROPN
cana-1625	150	13	̈	̈	X
cana-1625	150	14	�	�	NOUN
cana-1625	150	15	𝔴	𝔴	PROPN
cana-1625	150	16	,	,	PUNCT
cana-1625	150	17	�	�	PROPN
cana-1625	150	18	̈	̈	X
cana-1625	150	19	�	�	PROPN
cana-1625	150	20	𝜍̃	𝜍̃	PROPN
cana-1625	150	21	,	,	PUNCT
cana-1625	150	22	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	150	23	)	)	PUNCT
cana-1625	150	24	≥	≥	NOUN
cana-1625	150	25	min{ℜ(𝔏𝔴	min{ℜ(𝔏𝔴	NOUN
cana-1625	150	26	,	,	PUNCT
cana-1625	150	27	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	150	28	,	,	PUNCT
cana-1625	150	29	𝜚	𝜚	NOUN
cana-1625	150	30	)	)	PUNCT
cana-1625	150	31	,	,	PUNCT
cana-1625	150	32	ℜ(𝔏𝔴	ℜ(𝔏𝔴	PROPN
cana-1625	150	33	,	,	PUNCT
cana-1625	150	34	�	�	PROPN
cana-1625	150	35	̈	̈	X
cana-1625	150	36	�	�	NOUN
cana-1625	150	37	𝔴	𝔴	PROPN
cana-1625	150	38	,	,	PUNCT
cana-1625	150	39	𝜚	𝜚	NOUN
cana-1625	150	40	)	)	PUNCT
cana-1625	150	41	,	,	PUNCT
cana-1625	150	42	ℜ(	ℜ(	X
cana-1625	150	43	�	�	PROPN
cana-1625	150	44	̈	̈	NOUN
cana-1625	150	45	�	�	PROPN
cana-1625	150	46	𝜍̃	𝜍̃	PROPN
cana-1625	150	47	,	,	PUNCT
cana-1625	150	48	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	150	49	,	,	PUNCT
cana-1625	150	50	𝜚	𝜚	NOUN
cana-1625	150	51	)	)	PUNCT
cana-1625	150	52	,	,	PUNCT
cana-1625	150	53	ℜ(	ℜ(	X
cana-1625	150	54	�	�	PROPN
cana-1625	150	55	̈	̈	X
cana-1625	150	56	�	�	NOUN
cana-1625	150	57	𝔴	𝔴	NOUN
cana-1625	150	58	,	,	PUNCT
cana-1625	150	59	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	150	60	,	,	PUNCT
cana-1625	150	61	𝜚	𝜚	NOUN
cana-1625	150	62	)	)	PUNCT
cana-1625	150	63	,	,	PUNCT
cana-1625	150	64	ℜ(	ℜ(	X
cana-1625	150	65	�	�	PROPN
cana-1625	150	66	̈	̈	NOUN
cana-1625	150	67	�	�	PROPN
cana-1625	150	68	𝜍̃	𝜍̃	PROPN
cana-1625	150	69	,	,	PUNCT
cana-1625	150	70	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	150	71	,	,	PUNCT
cana-1625	150	72	𝜚	𝜚	NOUN
cana-1625	150	73	)	)	PUNCT
cana-1625	150	74	}	}	PUNCT
cana-1625	150	75	=	=	SYM
cana-1625	150	76	min{ℜ(	min{ℜ(	NOUN
cana-1625	150	77	�	�	PROPN
cana-1625	150	78	̈	̈	SYM
cana-1625	150	79	�	�	NOUN
cana-1625	150	80	𝔴	𝔴	PROPN
cana-1625	150	81	,	,	PUNCT
cana-1625	150	82	�	�	PROPN
cana-1625	150	83	̈	̈	X
cana-1625	150	84	�	�	PROPN
cana-1625	150	85	𝜍̃	𝜍̃	PROPN
cana-1625	150	86	,	,	PUNCT
cana-1625	150	87	𝜚	𝜚	NOUN
cana-1625	150	88	)	)	PUNCT
cana-1625	150	89	,	,	PUNCT
cana-1625	150	90	ℜ(	ℜ(	X
cana-1625	150	91	�	�	PROPN
cana-1625	150	92	̈	̈	X
cana-1625	150	93	�	�	NOUN
cana-1625	150	94	𝔴	𝔴	PROPN
cana-1625	150	95	,	,	PUNCT
cana-1625	150	96	�	�	PROPN
cana-1625	150	97	̈	̈	X
cana-1625	150	98	�	�	NOUN
cana-1625	150	99	𝔴	𝔴	PROPN
cana-1625	150	100	,	,	PUNCT
cana-1625	150	101	𝜚	𝜚	NOUN
cana-1625	150	102	)	)	PUNCT
cana-1625	150	103	,	,	PUNCT
cana-1625	150	104	ℜ(	ℜ(	X
cana-1625	150	105	�	�	PROPN
cana-1625	150	106	̈	̈	NUM
cana-1625	150	107	�	�	PROPN
cana-1625	150	108	𝜍̃	𝜍̃	PROPN
cana-1625	150	109	,	,	PUNCT
cana-1625	150	110	�	�	PROPN
cana-1625	150	111	̈	̈	X
cana-1625	150	112	�	�	PROPN
cana-1625	150	113	𝜍̃	𝜍̃	PROPN
cana-1625	150	114	,	,	PUNCT
cana-1625	150	115	𝜚	𝜚	NOUN
cana-1625	150	116	)	)	PUNCT
cana-1625	150	117	,	,	PUNCT
cana-1625	150	118	ℜ(	ℜ(	X
cana-1625	150	119	�	�	PROPN
cana-1625	150	120	̈	̈	X
cana-1625	150	121	�	�	NOUN
cana-1625	150	122	𝔴	𝔴	PROPN
cana-1625	150	123	,	,	PUNCT
cana-1625	150	124	�	�	PROPN
cana-1625	150	125	̈	̈	X
cana-1625	150	126	�	�	PROPN
cana-1625	150	127	𝜍̃	𝜍̃	PROPN
cana-1625	150	128	,	,	PUNCT
cana-1625	150	129	𝜚	𝜚	NOUN
cana-1625	150	130	)	)	PUNCT
cana-1625	150	131	,	,	PUNCT
cana-1625	150	132	ℜ(	ℜ(	X
cana-1625	150	133	�	�	PROPN
cana-1625	150	134	̈	̈	NUM
cana-1625	150	135	�	�	PROPN
cana-1625	150	136	𝜍̃	𝜍̃	PROPN
cana-1625	150	137	,	,	PUNCT
cana-1625	150	138	�	�	PROPN
cana-1625	150	139	̈	̈	X
cana-1625	150	140	�	�	NOUN
cana-1625	150	141	𝔴	𝔴	PROPN
cana-1625	150	142	,	,	PUNCT
cana-1625	150	143	𝜚	𝜚	NOUN
cana-1625	150	144	)	)	PUNCT
cana-1625	150	145	}	}	PUNCT
cana-1625	150	146	=	=	SYM
cana-1625	150	147	min{ℜ(	min{ℜ(	NOUN
cana-1625	150	148	�	�	PROPN
cana-1625	150	149	̈	̈	SYM
cana-1625	150	150	�	�	NOUN
cana-1625	150	151	𝔴	𝔴	PROPN
cana-1625	150	152	,	,	PUNCT
cana-1625	150	153	�	�	PROPN
cana-1625	150	154	̈	̈	X
cana-1625	150	155	�	�	PROPN
cana-1625	150	156	𝜍̃	𝜍̃	PROPN
cana-1625	150	157	,	,	PUNCT
cana-1625	150	158	𝜚	𝜚	NOUN
cana-1625	150	159	)	)	PUNCT
cana-1625	150	160	,	,	PUNCT
cana-1625	150	161	1,1	1,1	NUM
cana-1625	150	162	,	,	PUNCT
cana-1625	150	163	ℜ(	ℜ(	X
cana-1625	150	164	�	�	PROPN
cana-1625	150	165	̈	̈	X
cana-1625	150	166	�	�	NOUN
cana-1625	150	167	𝔴	𝔴	PROPN
cana-1625	150	168	,	,	PUNCT
cana-1625	150	169	�	�	PROPN
cana-1625	150	170	̈	̈	X
cana-1625	150	171	�	�	PROPN
cana-1625	150	172	𝜍̃	𝜍̃	PROPN
cana-1625	150	173	,	,	PUNCT
cana-1625	150	174	𝜚	𝜚	NOUN
cana-1625	150	175	)	)	PUNCT
cana-1625	150	176	,	,	PUNCT
cana-1625	150	177	ℜ(	ℜ(	X
cana-1625	150	178	�	�	PROPN
cana-1625	150	179	̈	̈	NUM
cana-1625	150	180	�	�	PROPN
cana-1625	150	181	𝜍̃	𝜍̃	PROPN
cana-1625	150	182	,	,	PUNCT
cana-1625	150	183	�	�	PROPN
cana-1625	150	184	̈	̈	X
cana-1625	150	185	�	�	NOUN
cana-1625	150	186	𝔴	𝔴	PROPN
cana-1625	150	187	,	,	PUNCT
cana-1625	150	188	𝜚	𝜚	NOUN
cana-1625	150	189	)	)	PUNCT
cana-1625	150	190	}	}	PUNCT
cana-1625	150	191	=	=	SYM
cana-1625	150	192	ℜ(	ℜ(	X
cana-1625	150	193	�	�	PROPN
cana-1625	150	194	̈	̈	X
cana-1625	150	195	�	�	NOUN
cana-1625	150	196	𝔴	𝔴	PROPN
cana-1625	150	197	,	,	PUNCT
cana-1625	150	198	�	�	PROPN
cana-1625	150	199	̈	̈	X
cana-1625	150	200	�	�	PROPN
cana-1625	150	201	𝜍̃	𝜍̃	PROPN
cana-1625	150	202	,	,	PUNCT
cana-1625	150	203	𝜚	𝜚	NOUN
cana-1625	150	204	)	)	PUNCT
cana-1625	150	205	.	.	PUNCT
cana-1625	151	1	𝔖(	𝔖(	PROPN
cana-1625	151	2	�	�	PROPN
cana-1625	151	3	̈	̈	X
cana-1625	151	4	�	�	PROPN
cana-1625	151	5	𝔨	𝔨	PROPN
cana-1625	151	6	,	,	PUNCT
cana-1625	151	7	�	�	PROPN
cana-1625	151	8	̈	̈	X
cana-1625	151	9	�	�	PROPN
cana-1625	151	10	𝜍̃	𝜍̃	PROPN
cana-1625	151	11	,	,	PUNCT
cana-1625	151	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	151	13	)	)	PUNCT
cana-1625	151	14	≤	≤	NUM
cana-1625	151	15	max{𝔖(𝔏𝔴	max{𝔖(𝔏𝔴	X
cana-1625	151	16	,	,	PUNCT
cana-1625	151	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	151	18	,	,	PUNCT
cana-1625	151	19	𝜚	𝜚	NOUN
cana-1625	151	20	)	)	PUNCT
cana-1625	151	21	,	,	PUNCT
cana-1625	151	22	𝔖(𝔏𝔴	𝔖(𝔏𝔴	NUM
cana-1625	151	23	,	,	PUNCT
cana-1625	151	24	�	�	PROPN
cana-1625	151	25	̈	̈	X
cana-1625	151	26	�	�	NOUN
cana-1625	151	27	𝔴	𝔴	PROPN
cana-1625	151	28	,	,	PUNCT
cana-1625	151	29	𝜚	𝜚	NOUN
cana-1625	151	30	)	)	PUNCT
cana-1625	151	31	,	,	PUNCT
cana-1625	151	32	𝔖(	𝔖(	PROPN
cana-1625	151	33	�	�	PROPN
cana-1625	151	34	̈	̈	X
cana-1625	151	35	�	�	PROPN
cana-1625	151	36	𝜍̃	𝜍̃	PROPN
cana-1625	151	37	,	,	PUNCT
cana-1625	151	38	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	151	39	,	,	PUNCT
cana-1625	151	40	𝜚	𝜚	NOUN
cana-1625	151	41	)	)	PUNCT
cana-1625	151	42	,	,	PUNCT
cana-1625	151	43	𝔖(	𝔖(	PROPN
cana-1625	151	44	�	�	PROPN
cana-1625	151	45	̈	̈	X
cana-1625	151	46	�	�	NOUN
cana-1625	151	47	𝔴	𝔴	NOUN
cana-1625	151	48	,	,	PUNCT
cana-1625	151	49	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	151	50	,	,	PUNCT
cana-1625	151	51	𝜚	𝜚	NOUN
cana-1625	151	52	)	)	PUNCT
cana-1625	151	53	,	,	PUNCT
cana-1625	151	54	𝔖(	𝔖(	PROPN
cana-1625	151	55	�	�	PROPN
cana-1625	151	56	̈	̈	X
cana-1625	151	57	�	�	PROPN
cana-1625	151	58	𝜍̃	𝜍̃	PROPN
cana-1625	151	59	,	,	PUNCT
cana-1625	151	60	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	151	61	,	,	PUNCT
cana-1625	151	62	𝜚	𝜚	NOUN
cana-1625	151	63	)	)	PUNCT
cana-1625	151	64	}	}	PUNCT
cana-1625	151	65	=	=	SYM
cana-1625	151	66	max{𝔖(	max{𝔖(	X
cana-1625	151	67	�	�	PROPN
cana-1625	151	68	̈	̈	X
cana-1625	151	69	�	�	NOUN
cana-1625	151	70	𝔴	𝔴	PROPN
cana-1625	151	71	,	,	PUNCT
cana-1625	151	72	�	�	PROPN
cana-1625	151	73	̈	̈	X
cana-1625	151	74	�	�	PROPN
cana-1625	151	75	𝜍̃	𝜍̃	PROPN
cana-1625	151	76	,	,	PUNCT
cana-1625	151	77	𝜚	𝜚	NOUN
cana-1625	151	78	)	)	PUNCT
cana-1625	151	79	,	,	PUNCT
cana-1625	151	80	𝔖(	𝔖(	PROPN
cana-1625	151	81	�	�	PROPN
cana-1625	151	82	̈	̈	X
cana-1625	151	83	�	�	PROPN
cana-1625	151	84	𝔴	𝔴	PROPN
cana-1625	151	85	,	,	PUNCT
cana-1625	151	86	�	�	PROPN
cana-1625	151	87	̈	̈	X
cana-1625	151	88	�	�	NOUN
cana-1625	151	89	𝔴	𝔴	PROPN
cana-1625	151	90	,	,	PUNCT
cana-1625	151	91	𝜚	𝜚	NOUN
cana-1625	151	92	)	)	PUNCT
cana-1625	151	93	,	,	PUNCT
cana-1625	151	94	𝔖(	𝔖(	PROPN
cana-1625	151	95	�	�	PROPN
cana-1625	151	96	̈	̈	X
cana-1625	151	97	�	�	PROPN
cana-1625	151	98	𝜍̃	𝜍̃	PROPN
cana-1625	151	99	,	,	PUNCT
cana-1625	151	100	�	�	PROPN
cana-1625	151	101	̈	̈	X
cana-1625	151	102	�	�	PROPN
cana-1625	151	103	𝜍̃	𝜍̃	PROPN
cana-1625	151	104	,	,	PUNCT
cana-1625	151	105	𝜚	𝜚	NOUN
cana-1625	151	106	)	)	PUNCT
cana-1625	151	107	,	,	PUNCT
cana-1625	151	108	𝔖(	𝔖(	PROPN
cana-1625	151	109	�	�	PROPN
cana-1625	151	110	̈	̈	X
cana-1625	151	111	�	�	PROPN
cana-1625	151	112	𝔴	𝔴	PROPN
cana-1625	151	113	,	,	PUNCT
cana-1625	151	114	�	�	PROPN
cana-1625	151	115	̈	̈	X
cana-1625	151	116	�	�	PROPN
cana-1625	151	117	𝜍̃	𝜍̃	PROPN
cana-1625	151	118	,	,	PUNCT
cana-1625	151	119	𝜚	𝜚	NOUN
cana-1625	151	120	)	)	PUNCT
cana-1625	151	121	,	,	PUNCT
cana-1625	151	122	𝔖(	𝔖(	PROPN
cana-1625	151	123	�	�	PROPN
cana-1625	151	124	̈	̈	X
cana-1625	151	125	�	�	PROPN
cana-1625	151	126	𝜍̃	𝜍̃	PROPN
cana-1625	151	127	,	,	PUNCT
cana-1625	151	128	�	�	PROPN
cana-1625	151	129	̈	̈	X
cana-1625	151	130	�	�	NOUN
cana-1625	151	131	𝔴	𝔴	PROPN
cana-1625	151	132	,	,	PUNCT
cana-1625	151	133	𝜚	𝜚	NOUN
cana-1625	151	134	)	)	PUNCT
cana-1625	151	135	}	}	PUNCT
cana-1625	151	136	=	=	SYM
cana-1625	151	137	max{𝔖(	max{𝔖(	X
cana-1625	151	138	�	�	PROPN
cana-1625	151	139	̈	̈	X
cana-1625	151	140	�	�	NOUN
cana-1625	151	141	𝔴	𝔴	PROPN
cana-1625	151	142	,	,	PUNCT
cana-1625	151	143	�	�	PROPN
cana-1625	151	144	̈	̈	X
cana-1625	151	145	�	�	PROPN
cana-1625	151	146	𝜍̃	𝜍̃	PROPN
cana-1625	151	147	,	,	PUNCT
cana-1625	151	148	𝜚	𝜚	NOUN
cana-1625	151	149	)	)	PUNCT
cana-1625	151	150	,	,	PUNCT
cana-1625	151	151	0,0	0,0	NOUN
cana-1625	151	152	,	,	PUNCT
cana-1625	151	153	𝔖(	𝔖(	NOUN
cana-1625	151	154	�	�	PROPN
cana-1625	151	155	̈	̈	X
cana-1625	151	156	�	�	PROPN
cana-1625	151	157	𝔴	𝔴	PROPN
cana-1625	151	158	,	,	PUNCT
cana-1625	151	159	�	�	PROPN
cana-1625	151	160	̈	̈	X
cana-1625	151	161	�	�	PROPN
cana-1625	151	162	𝜍̃	𝜍̃	PROPN
cana-1625	151	163	,	,	PUNCT
cana-1625	151	164	𝜚	𝜚	NOUN
cana-1625	151	165	)	)	PUNCT
cana-1625	151	166	,	,	PUNCT
cana-1625	151	167	𝔖(	𝔖(	PROPN
cana-1625	151	168	�	�	PROPN
cana-1625	151	169	̈	̈	X
cana-1625	151	170	�	�	PROPN
cana-1625	151	171	𝜍̃	𝜍̃	PROPN
cana-1625	151	172	,	,	PUNCT
cana-1625	151	173	�	�	PROPN
cana-1625	151	174	̈	̈	X
cana-1625	151	175	�	�	NOUN
cana-1625	151	176	𝔴	𝔴	PROPN
cana-1625	151	177	,	,	PUNCT
cana-1625	151	178	𝜚	𝜚	NOUN
cana-1625	151	179	)	)	PUNCT
cana-1625	151	180	}	}	PUNCT
cana-1625	151	181	=	=	SYM
cana-1625	151	182	𝔖(	𝔖(	ADJ
cana-1625	151	183	�	�	PROPN
cana-1625	151	184	̈	̈	X
cana-1625	151	185	�	�	PROPN
cana-1625	151	186	𝔴	𝔴	PROPN
cana-1625	151	187	,	,	PUNCT
cana-1625	151	188	�	�	PROPN
cana-1625	151	189	̈	̈	X
cana-1625	151	190	�	�	PROPN
cana-1625	151	191	𝜍̃	𝜍̃	PROPN
cana-1625	151	192	,	,	PUNCT
cana-1625	151	193	𝜚	𝜚	NOUN
cana-1625	151	194	)	)	PUNCT
cana-1625	151	195	.	.	PUNCT
cana-1625	152	1	𝔗(	𝔗(	PROPN
cana-1625	152	2	�	�	PROPN
cana-1625	152	3	̈	̈	SYM
cana-1625	152	4	�	�	PROPN
cana-1625	152	5	𝔨	𝔨	PROPN
cana-1625	152	6	,	,	PUNCT
cana-1625	152	7	�	�	PROPN
cana-1625	152	8	̈	̈	X
cana-1625	152	9	�	�	PROPN
cana-1625	152	10	𝜍̃	𝜍̃	PROPN
cana-1625	152	11	,	,	PUNCT
cana-1625	152	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	152	13	)	)	PUNCT
cana-1625	152	14	≤	≤	NOUN
cana-1625	152	15	max{𝔗(𝔏𝔴	max{𝔗(𝔏𝔴	NUM
cana-1625	152	16	,	,	PUNCT
cana-1625	152	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	152	18	,	,	PUNCT
cana-1625	152	19	𝜚	𝜚	NOUN
cana-1625	152	20	)	)	PUNCT
cana-1625	152	21	,	,	PUNCT
cana-1625	152	22	𝔗(𝔏𝔴	𝔗(𝔏𝔴	PROPN
cana-1625	152	23	,	,	PUNCT
cana-1625	152	24	�	�	PROPN
cana-1625	152	25	̈	̈	X
cana-1625	152	26	�	�	NOUN
cana-1625	152	27	𝔴	𝔴	PROPN
cana-1625	152	28	,	,	PUNCT
cana-1625	152	29	𝜚	𝜚	NOUN
cana-1625	152	30	)	)	PUNCT
cana-1625	152	31	,	,	PUNCT
cana-1625	152	32	𝔗(	𝔗(	ADJ
cana-1625	152	33	�	�	PROPN
cana-1625	152	34	̈	̈	NOUN
cana-1625	152	35	�	�	PROPN
cana-1625	152	36	𝜍̃	𝜍̃	PROPN
cana-1625	152	37	,	,	PUNCT
cana-1625	152	38	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	152	39	,	,	PUNCT
cana-1625	152	40	𝜚	𝜚	NOUN
cana-1625	152	41	)	)	PUNCT
cana-1625	152	42	,	,	PUNCT
cana-1625	152	43	𝔗(	𝔗(	ADJ
cana-1625	152	44	�	�	PROPN
cana-1625	152	45	̈	̈	SYM
cana-1625	152	46	�	�	NOUN
cana-1625	152	47	𝔴	𝔴	NOUN
cana-1625	152	48	,	,	PUNCT
cana-1625	152	49	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	152	50	,	,	PUNCT
cana-1625	152	51	𝜚	𝜚	NOUN
cana-1625	152	52	)	)	PUNCT
cana-1625	152	53	,	,	PUNCT
cana-1625	152	54	𝔗(	𝔗(	ADJ
cana-1625	152	55	�	�	PROPN
cana-1625	152	56	̈	̈	NOUN
cana-1625	152	57	�	�	PROPN
cana-1625	152	58	𝜍̃	𝜍̃	PROPN
cana-1625	152	59	,	,	PUNCT
cana-1625	152	60	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	152	61	,	,	PUNCT
cana-1625	152	62	𝜚	𝜚	NOUN
cana-1625	152	63	)	)	PUNCT
cana-1625	152	64	}	}	PUNCT
cana-1625	152	65	communications	communication	NOUN
cana-1625	152	66	on	on	ADP
cana-1625	152	67	applied	apply	VERB
cana-1625	152	68	nonlinear	nonlinear	ADJ
cana-1625	152	69	analysis	analysis	NOUN
cana-1625	152	70	issn	issn	NOUN
cana-1625	152	71	:	:	PUNCT
cana-1625	152	72	1074	1074	NUM
cana-1625	152	73	-	-	PUNCT
cana-1625	152	74	133x	133x	NUM
cana-1625	152	75	vol	vol	NOUN
cana-1625	152	76	32	32	NUM
cana-1625	152	77	no	no	NOUN
cana-1625	152	78	.	.	NOUN
cana-1625	152	79	1	1	NUM
cana-1625	152	80	(	(	PUNCT
cana-1625	152	81	2025	2025	NUM
cana-1625	152	82	)	)	PUNCT
cana-1625	152	83	120	120	NUM
cana-1625	152	84	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	152	85	=	=	SYM
cana-1625	152	86	max{𝔗(	max{𝔗(	NOUN
cana-1625	152	87	�	�	PROPN
cana-1625	152	88	̈	̈	X
cana-1625	152	89	�	�	NOUN
cana-1625	152	90	𝔴	𝔴	PROPN
cana-1625	152	91	,	,	PUNCT
cana-1625	152	92	�	�	PROPN
cana-1625	152	93	̈	̈	X
cana-1625	152	94	�	�	PROPN
cana-1625	152	95	𝜍̃	𝜍̃	PROPN
cana-1625	152	96	,	,	PUNCT
cana-1625	152	97	𝜚	𝜚	NOUN
cana-1625	152	98	)	)	PUNCT
cana-1625	152	99	,	,	PUNCT
cana-1625	152	100	𝔗(	𝔗(	ADJ
cana-1625	152	101	�	�	PROPN
cana-1625	152	102	̈	̈	SYM
cana-1625	152	103	�	�	NOUN
cana-1625	152	104	𝔴	𝔴	PROPN
cana-1625	152	105	,	,	PUNCT
cana-1625	152	106	�	�	PROPN
cana-1625	152	107	̈	̈	X
cana-1625	152	108	�	�	NOUN
cana-1625	152	109	𝔴	𝔴	PROPN
cana-1625	152	110	,	,	PUNCT
cana-1625	152	111	𝜚	𝜚	NOUN
cana-1625	152	112	)	)	PUNCT
cana-1625	152	113	,	,	PUNCT
cana-1625	152	114	𝔗(	𝔗(	ADJ
cana-1625	152	115	�	�	PROPN
cana-1625	152	116	̈	̈	NOUN
cana-1625	152	117	�	�	PROPN
cana-1625	152	118	𝜍̃	𝜍̃	PROPN
cana-1625	152	119	,	,	PUNCT
cana-1625	152	120	�	�	PROPN
cana-1625	152	121	̈	̈	X
cana-1625	152	122	�	�	PROPN
cana-1625	152	123	𝜍̃	𝜍̃	PROPN
cana-1625	152	124	,	,	PUNCT
cana-1625	152	125	𝜚)𝔗(	𝜚)𝔗(	X
cana-1625	152	126	�	�	NOUN
cana-1625	152	127	̈	̈	SYM
cana-1625	152	128	�	�	NOUN
cana-1625	152	129	𝔴	𝔴	PROPN
cana-1625	152	130	,	,	PUNCT
cana-1625	152	131	�	�	PROPN
cana-1625	152	132	̈	̈	X
cana-1625	152	133	�	�	PROPN
cana-1625	152	134	𝜍̃	𝜍̃	PROPN
cana-1625	152	135	,	,	PUNCT
cana-1625	152	136	𝜚	𝜚	NOUN
cana-1625	152	137	)	)	PUNCT
cana-1625	152	138	,	,	PUNCT
cana-1625	152	139	𝔗(	𝔗(	ADJ
cana-1625	152	140	�	�	PROPN
cana-1625	152	141	̈	̈	NOUN
cana-1625	152	142	�	�	PROPN
cana-1625	152	143	𝜍̃	𝜍̃	PROPN
cana-1625	152	144	,	,	PUNCT
cana-1625	152	145	�	�	PROPN
cana-1625	152	146	̈	̈	X
cana-1625	152	147	�	�	NOUN
cana-1625	152	148	𝔴	𝔴	PROPN
cana-1625	152	149	,	,	PUNCT
cana-1625	152	150	𝜚	𝜚	NOUN
cana-1625	152	151	)	)	PUNCT
cana-1625	152	152	}	}	PUNCT
cana-1625	152	153	=	=	SYM
cana-1625	152	154	max{𝔗(	max{𝔗(	NOUN
cana-1625	152	155	�	�	PROPN
cana-1625	152	156	̈	̈	X
cana-1625	152	157	�	�	NOUN
cana-1625	152	158	𝔴	𝔴	PROPN
cana-1625	152	159	,	,	PUNCT
cana-1625	152	160	�	�	PROPN
cana-1625	152	161	̈	̈	X
cana-1625	152	162	�	�	PROPN
cana-1625	152	163	𝜍̃	𝜍̃	PROPN
cana-1625	152	164	,	,	PUNCT
cana-1625	152	165	𝜚	𝜚	NOUN
cana-1625	152	166	)	)	PUNCT
cana-1625	152	167	,	,	PUNCT
cana-1625	152	168	0,0	0,0	NOUN
cana-1625	152	169	,	,	PUNCT
cana-1625	152	170	𝔗(	𝔗(	ADJ
cana-1625	152	171	�	�	PROPN
cana-1625	152	172	̈	̈	SYM
cana-1625	152	173	�	�	NOUN
cana-1625	152	174	𝔴	𝔴	PROPN
cana-1625	152	175	,	,	PUNCT
cana-1625	152	176	�	�	PROPN
cana-1625	152	177	̈	̈	X
cana-1625	152	178	�	�	PROPN
cana-1625	152	179	𝜍̃	𝜍̃	PROPN
cana-1625	152	180	,	,	PUNCT
cana-1625	152	181	𝜚	𝜚	NOUN
cana-1625	152	182	)	)	PUNCT
cana-1625	152	183	,	,	PUNCT
cana-1625	152	184	𝔗(	𝔗(	ADJ
cana-1625	152	185	�	�	PROPN
cana-1625	152	186	̈	̈	NOUN
cana-1625	152	187	�	�	PROPN
cana-1625	152	188	𝜍̃	𝜍̃	PROPN
cana-1625	152	189	,	,	PUNCT
cana-1625	152	190	�	�	PROPN
cana-1625	152	191	̈	̈	X
cana-1625	152	192	�	�	NOUN
cana-1625	152	193	𝔴	𝔴	PROPN
cana-1625	152	194	,	,	PUNCT
cana-1625	152	195	𝜚	𝜚	NOUN
cana-1625	152	196	)	)	PUNCT
cana-1625	152	197	}	}	PUNCT
cana-1625	152	198	=	=	SYM
cana-1625	152	199	𝔖(	𝔖(	ADJ
cana-1625	152	200	�	�	PROPN
cana-1625	152	201	̈	̈	X
cana-1625	152	202	�	�	PROPN
cana-1625	152	203	𝔴	𝔴	PROPN
cana-1625	152	204	,	,	PUNCT
cana-1625	152	205	�	�	PROPN
cana-1625	152	206	̈	̈	X
cana-1625	152	207	�	�	PROPN
cana-1625	152	208	𝜍̃	𝜍̃	PROPN
cana-1625	152	209	,	,	PUNCT
cana-1625	152	210	𝜚	𝜚	NOUN
cana-1625	152	211	)	)	PUNCT
cana-1625	152	212	.	.	PUNCT
cana-1625	153	1	again	again	ADV
cana-1625	153	2	,	,	PUNCT
cana-1625	153	3	in	in	ADP
cana-1625	153	4	view	view	NOUN
cana-1625	153	5	of	of	ADP
cana-1625	153	6	lemma	lemma	PROPN
cana-1625	153	7	(	(	PUNCT
cana-1625	153	8	2.9	2.9	NUM
cana-1625	153	9	)	)	PUNCT
cana-1625	153	10	,	,	PUNCT
cana-1625	153	11	we	we	PRON
cana-1625	153	12	have	have	VERB
cana-1625	153	13	�	�	PROPN
cana-1625	153	14	̈	̈	X
cana-1625	153	15	�	�	NOUN
cana-1625	153	16	𝔨	𝔨	NOUN
cana-1625	153	17	=	=	SYM
cana-1625	153	18	�	�	PROPN
cana-1625	153	19	̈	̈	SYM
cana-1625	153	20	�	�	NOUN
cana-1625	153	21	𝜍̃.	𝜍̃.	NOUN
cana-1625	153	22	therefore	therefore	ADV
cana-1625	153	23	,	,	PUNCT
cana-1625	153	24	�	�	PROPN
cana-1625	153	25	̈	̈	X
cana-1625	153	26	�	�	NOUN
cana-1625	153	27	𝔨	𝔨	NOUN
cana-1625	153	28	=	=	SYM
cana-1625	153	29	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	153	30	=	=	PUNCT
cana-1625	153	31	�	�	PROPN
cana-1625	153	32	̈	̈	X
cana-1625	153	33	�	�	NOUN
cana-1625	153	34	𝜍̃	𝜍̃	NOUN
cana-1625	153	35	=	=	SYM
cana-1625	153	36	𝔚𝜍̃.	𝔚𝜍̃.	PROPN
cana-1625	153	37	(	(	PUNCT
cana-1625	153	38	3.4.5	3.4.5	NUM
cana-1625	153	39	)	)	PUNCT
cana-1625	153	40	from	from	ADP
cana-1625	153	41	(	(	PUNCT
cana-1625	153	42	3.4.4	3.4.4	NUM
cana-1625	153	43	)	)	PUNCT
cana-1625	153	44	and	and	CCONJ
cana-1625	153	45	(	(	PUNCT
cana-1625	153	46	3.4.5	3.4.5	NUM
cana-1625	153	47	)	)	PUNCT
cana-1625	153	48	,	,	PUNCT
cana-1625	153	49	�	�	PROPN
cana-1625	153	50	̈	̈	X
cana-1625	153	51	�	�	NOUN
cana-1625	153	52	𝔨	𝔨	NOUN
cana-1625	153	53	=	=	SYM
cana-1625	153	54	�	�	PROPN
cana-1625	153	55	̈	̈	X
cana-1625	153	56	�	�	NOUN
cana-1625	153	57	𝔴	𝔴	NOUN
cana-1625	153	58	and	and	CCONJ
cana-1625	153	59	therefore	therefore	ADV
cana-1625	153	60	the	the	DET
cana-1625	153	61	pair	pair	NOUN
cana-1625	153	62	{	{	PUNCT
cana-1625	153	63	𝔄,̈	𝔄,̈	PROPN
cana-1625	153	64	𝔏	𝔏	PROPN
cana-1625	153	65	}	}	PUNCT
cana-1625	153	66	have	have	VERB
cana-1625	153	67	a	a	DET
cana-1625	153	68	unique	unique	ADJ
cana-1625	153	69	coincidence	coincidence	NOUN
cana-1625	153	70	point	point	NOUN
cana-1625	153	71	𝜁	𝜁	PROPN
cana-1625	153	72	=	=	SYM
cana-1625	153	73	�	�	PROPN
cana-1625	153	74	̈	̈	X
cana-1625	153	75	�	�	NOUN
cana-1625	154	1	𝔨	𝔨	NOUN
cana-1625	154	2	=	=	SYM
cana-1625	154	3	𝔏𝔨.	𝔏𝔨.	PROPN
cana-1625	154	4	thus	thus	ADV
cana-1625	154	5	by	by	ADP
cana-1625	154	6	lemma	lemma	PROPN
cana-1625	154	7	(	(	PUNCT
cana-1625	154	8	2.9	2.9	NUM
cana-1625	154	9	)	)	PUNCT
cana-1625	154	10	,	,	PUNCT
cana-1625	154	11	𝔴	𝔴	PROPN
cana-1625	154	12	is	be	AUX
cana-1625	154	13	the	the	DET
cana-1625	154	14	unique	unique	ADJ
cana-1625	154	15	common	common	ADJ
cana-1625	154	16	fixed	fix	VERB
cana-1625	154	17	point	point	NOUN
cana-1625	154	18	of	of	ADP
cana-1625	154	19	the	the	DET
cana-1625	154	20	pair	pair	NOUN
cana-1625	154	21	{	{	PUNCT
cana-1625	154	22	𝔄,̈	𝔄,̈	PROPN
cana-1625	154	23	𝔏	𝔏	PROPN
cana-1625	154	24	}	}	PUNCT
cana-1625	154	25	.	.	PUNCT
cana-1625	155	1	similarly	similarly	ADV
cana-1625	155	2	,	,	PUNCT
cana-1625	155	3	we	we	PRON
cana-1625	155	4	can	can	AUX
cana-1625	155	5	show	show	VERB
cana-1625	155	6	that	that	SCONJ
cana-1625	155	7	this	this	DET
cana-1625	155	8	pair	pair	NOUN
cana-1625	155	9	{	{	PUNCT
cana-1625	155	10	�	�	PROPN
cana-1625	155	11	̈	̈	X
cana-1625	155	12	�	�	PROPN
cana-1625	155	13	,	,	PUNCT
cana-1625	155	14	𝔚	𝔚	PROPN
cana-1625	155	15	}	}	PUNCT
cana-1625	155	16	also	also	ADV
cana-1625	155	17	have	have	VERB
cana-1625	155	18	a	a	DET
cana-1625	155	19	unique	unique	ADJ
cana-1625	155	20	common	common	ADJ
cana-1625	155	21	fixed	fix	VERB
cana-1625	155	22	point	point	NOUN
cana-1625	155	23	.	.	PUNCT
cana-1625	156	1	suppose	suppose	VERB
cana-1625	156	2	this	this	PRON
cana-1625	156	3	is	be	AUX
cana-1625	156	4	𝜂	𝜂	PRON
cana-1625	156	5	∈	∈	PROPN
cana-1625	156	6	ξ	ξ	PROPN
cana-1625	156	7	.	.	PUNCT
cana-1625	157	1	now	now	ADV
cana-1625	157	2	,	,	PUNCT
cana-1625	157	3	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	157	4	,	,	PUNCT
cana-1625	157	5	𝜂	𝜂	NOUN
cana-1625	157	6	,	,	PUNCT
cana-1625	157	7	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	157	8	)	)	PUNCT
cana-1625	157	9	=	=	SYM
cana-1625	157	10	ℜ(	ℜ(	X
cana-1625	157	11	�	�	PROPN
cana-1625	157	12	̈	̈	X
cana-1625	157	13	�	�	PROPN
cana-1625	157	14	𝜁	𝜁	PROPN
cana-1625	157	15	,	,	PUNCT
cana-1625	157	16	�	�	PROPN
cana-1625	157	17	̈	̈	X
cana-1625	157	18	�	�	NOUN
cana-1625	157	19	𝜂	𝜂	PROPN
cana-1625	157	20	,	,	PUNCT
cana-1625	157	21	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	157	22	)	)	PUNCT
cana-1625	157	23	≥	≥	NOUN
cana-1625	157	24	min{ℜ(𝔏𝜁	min{ℜ(𝔏𝜁	NUM
cana-1625	157	25	,	,	PUNCT
cana-1625	157	26	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	157	27	,	,	PUNCT
cana-1625	157	28	𝜚	𝜚	NOUN
cana-1625	157	29	)	)	PUNCT
cana-1625	157	30	,	,	PUNCT
cana-1625	157	31	ℜ(𝔏𝜁	ℜ(𝔏𝜁	NUM
cana-1625	157	32	,	,	PUNCT
cana-1625	157	33	�	�	PROPN
cana-1625	157	34	̈	̈	X
cana-1625	157	35	�	�	NOUN
cana-1625	157	36	𝜁	𝜁	PROPN
cana-1625	157	37	,	,	PUNCT
cana-1625	157	38	𝜚	𝜚	NOUN
cana-1625	157	39	)	)	PUNCT
cana-1625	157	40	,	,	PUNCT
cana-1625	157	41	ℜ(	ℜ(	X
cana-1625	157	42	�	�	PROPN
cana-1625	157	43	̈	̈	X
cana-1625	157	44	�	�	NOUN
cana-1625	157	45	𝜂	𝜂	PROPN
cana-1625	157	46	,	,	PUNCT
cana-1625	157	47	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	157	48	,	,	PUNCT
cana-1625	157	49	𝜚	𝜚	NOUN
cana-1625	157	50	)	)	PUNCT
cana-1625	157	51	,	,	PUNCT
cana-1625	157	52	ℜ(	ℜ(	X
cana-1625	157	53	�	�	PROPN
cana-1625	157	54	̈	̈	X
cana-1625	157	55	�	�	PROPN
cana-1625	157	56	𝜁	𝜁	PROPN
cana-1625	157	57	,	,	PUNCT
cana-1625	157	58	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	157	59	,	,	PUNCT
cana-1625	157	60	𝜚	𝜚	NOUN
cana-1625	157	61	)	)	PUNCT
cana-1625	157	62	,	,	PUNCT
cana-1625	157	63	ℜ(	ℜ(	X
cana-1625	157	64	�	�	PROPN
cana-1625	157	65	̈	̈	X
cana-1625	157	66	�	�	NOUN
cana-1625	157	67	𝜂	𝜂	PROPN
cana-1625	157	68	,	,	PUNCT
cana-1625	157	69	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	157	70	,	,	PUNCT
cana-1625	157	71	𝜚	𝜚	NOUN
cana-1625	157	72	)	)	PUNCT
cana-1625	157	73	}	}	PUNCT
cana-1625	157	74	=	=	SYM
cana-1625	157	75	min{ℜ(𝜁	min{ℜ(𝜁	PROPN
cana-1625	157	76	,	,	PUNCT
cana-1625	157	77	𝜂	𝜂	PROPN
cana-1625	157	78	,	,	PUNCT
cana-1625	157	79	𝜚	𝜚	NOUN
cana-1625	157	80	)	)	PUNCT
cana-1625	157	81	,	,	PUNCT
cana-1625	157	82	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	157	83	,	,	PUNCT
cana-1625	157	84	𝜁	𝜁	PROPN
cana-1625	157	85	,	,	PUNCT
cana-1625	157	86	𝜚	𝜚	NOUN
cana-1625	157	87	)	)	PUNCT
cana-1625	157	88	,	,	PUNCT
cana-1625	157	89	ℜ(𝜂	ℜ(𝜂	X
cana-1625	157	90	,	,	PUNCT
cana-1625	157	91	𝜂	𝜂	NOUN
cana-1625	157	92	,	,	PUNCT
cana-1625	157	93	𝜚	𝜚	NOUN
cana-1625	157	94	)	)	PUNCT
cana-1625	157	95	,	,	PUNCT
cana-1625	157	96	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	157	97	,	,	PUNCT
cana-1625	157	98	𝜂	𝜂	PROPN
cana-1625	157	99	,	,	PUNCT
cana-1625	157	100	𝜚	𝜚	NOUN
cana-1625	157	101	)	)	PUNCT
cana-1625	157	102	,	,	PUNCT
cana-1625	157	103	ℜ(𝜂	ℜ(𝜂	X
cana-1625	157	104	,	,	PUNCT
cana-1625	157	105	𝜁	𝜁	PROPN
cana-1625	157	106	,	,	PUNCT
cana-1625	157	107	𝜚	𝜚	NOUN
cana-1625	157	108	)	)	PUNCT
cana-1625	157	109	}	}	PUNCT
cana-1625	157	110	=	=	SYM
cana-1625	157	111	min{ℜ(𝜁	min{ℜ(𝜁	PROPN
cana-1625	157	112	,	,	PUNCT
cana-1625	157	113	𝜂	𝜂	PROPN
cana-1625	157	114	,	,	PUNCT
cana-1625	157	115	𝜚	𝜚	NOUN
cana-1625	157	116	)	)	PUNCT
cana-1625	157	117	,	,	PUNCT
cana-1625	157	118	1,1	1,1	NUM
cana-1625	157	119	,	,	PUNCT
cana-1625	157	120	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	157	121	,	,	PUNCT
cana-1625	157	122	𝜂	𝜂	PROPN
cana-1625	157	123	,	,	PUNCT
cana-1625	157	124	𝜚	𝜚	NOUN
cana-1625	157	125	)	)	PUNCT
cana-1625	157	126	,	,	PUNCT
cana-1625	157	127	ℜ(𝜂	ℜ(𝜂	X
cana-1625	157	128	,	,	PUNCT
cana-1625	157	129	𝜁	𝜁	PROPN
cana-1625	157	130	,	,	PUNCT
cana-1625	157	131	𝜚)}=	𝜚)}=	NUM
cana-1625	157	132	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	157	133	,	,	PUNCT
cana-1625	157	134	𝜂	𝜂	PROPN
cana-1625	157	135	,	,	PUNCT
cana-1625	157	136	𝜚	𝜚	NOUN
cana-1625	157	137	)	)	PUNCT
cana-1625	157	138	.	.	PUNCT
cana-1625	158	1	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	158	2	,	,	PUNCT
cana-1625	158	3	𝜂	𝜂	PROPN
cana-1625	158	4	,	,	PUNCT
cana-1625	158	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	158	6	)	)	PUNCT
cana-1625	158	7	=	=	SYM
cana-1625	158	8	𝔖(	𝔖(	NOUN
cana-1625	158	9	�	�	PROPN
cana-1625	158	10	̈	̈	X
cana-1625	158	11	�	�	PROPN
cana-1625	158	12	𝜁	𝜁	PROPN
cana-1625	158	13	,	,	PUNCT
cana-1625	158	14	�	�	PROPN
cana-1625	158	15	̈	̈	X
cana-1625	158	16	�	�	NOUN
cana-1625	158	17	𝜂	𝜂	PROPN
cana-1625	158	18	,	,	PUNCT
cana-1625	158	19	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	158	20	)	)	PUNCT
cana-1625	158	21	≤	≤	NOUN
cana-1625	158	22	max{𝔖(𝔏𝜁	max{𝔖(𝔏𝜁	X
cana-1625	158	23	,	,	PUNCT
cana-1625	158	24	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	158	25	,	,	PUNCT
cana-1625	158	26	𝜚	𝜚	NOUN
cana-1625	158	27	)	)	PUNCT
cana-1625	158	28	,	,	PUNCT
cana-1625	158	29	𝔖(𝔏𝜁	𝔖(𝔏𝜁	NUM
cana-1625	158	30	,	,	PUNCT
cana-1625	158	31	�	�	PROPN
cana-1625	158	32	̈	̈	X
cana-1625	158	33	�	�	NOUN
cana-1625	158	34	𝜁	𝜁	PROPN
cana-1625	158	35	,	,	PUNCT
cana-1625	158	36	𝜚	𝜚	NOUN
cana-1625	158	37	)	)	PUNCT
cana-1625	158	38	,	,	PUNCT
cana-1625	158	39	𝔖(	𝔖(	PROPN
cana-1625	158	40	�	�	PROPN
cana-1625	158	41	̈	̈	X
cana-1625	158	42	�	�	NOUN
cana-1625	158	43	𝜂	𝜂	PROPN
cana-1625	158	44	,	,	PUNCT
cana-1625	158	45	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	158	46	,	,	PUNCT
cana-1625	158	47	𝜚	𝜚	NOUN
cana-1625	158	48	)	)	PUNCT
cana-1625	158	49	,	,	PUNCT
cana-1625	158	50	𝔖(	𝔖(	PROPN
cana-1625	158	51	�	�	PROPN
cana-1625	158	52	̈	̈	X
cana-1625	158	53	�	�	PROPN
cana-1625	158	54	𝜁	𝜁	PROPN
cana-1625	158	55	,	,	PUNCT
cana-1625	158	56	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	158	57	,	,	PUNCT
cana-1625	158	58	𝜚	𝜚	NOUN
cana-1625	158	59	)	)	PUNCT
cana-1625	158	60	,	,	PUNCT
cana-1625	158	61	𝔖(	𝔖(	PROPN
cana-1625	158	62	�	�	PROPN
cana-1625	158	63	̈	̈	X
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cana-1625	158	79	,	,	PUNCT
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cana-1625	159	37	,	,	PUNCT
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cana-1625	159	59	̈	̈	SYM
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cana-1625	160	32	.	.	PUNCT
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cana-1625	161	62	̈	̈	X
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cana-1625	161	93	̈	̈	X
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cana-1625	161	101	}	}	PUNCT
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cana-1625	161	156	,	,	PUNCT
cana-1625	161	157	𝜁	𝜁	PROPN
cana-1625	161	158	,	,	PUNCT
cana-1625	161	159	𝜚	𝜚	NOUN
cana-1625	161	160	)	)	PUNCT
cana-1625	161	161	}	}	PUNCT
cana-1625	161	162	=	=	SYM
cana-1625	161	163	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	161	164	,	,	PUNCT
cana-1625	161	165	𝜏	𝜏	NOUN
cana-1625	161	166	,	,	PUNCT
cana-1625	161	167	𝜚	𝜚	NOUN
cana-1625	161	168	)	)	PUNCT
cana-1625	161	169	.	.	PUNCT
cana-1625	162	1	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	162	2	,	,	PUNCT
cana-1625	162	3	𝜏	𝜏	NOUN
cana-1625	162	4	,	,	PUNCT
cana-1625	162	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	162	6	)	)	PUNCT
cana-1625	162	7	=	=	SYM
cana-1625	162	8	𝔖(	𝔖(	NOUN
cana-1625	162	9	�	�	PROPN
cana-1625	162	10	̈	̈	X
cana-1625	162	11	�	�	PROPN
cana-1625	162	12	𝜁	𝜁	PROPN
cana-1625	162	13	,	,	PUNCT
cana-1625	162	14	�	�	PROPN
cana-1625	162	15	̈	̈	X
cana-1625	162	16	�	�	NOUN
cana-1625	162	17	𝜏	𝜏	NOUN
cana-1625	162	18	,	,	PUNCT
cana-1625	162	19	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	162	20	)	)	PUNCT
cana-1625	162	21	≤	≤	NOUN
cana-1625	162	22	max{𝔖(𝔏𝜁	max{𝔖(𝔏𝜁	X
cana-1625	162	23	,	,	PUNCT
cana-1625	162	24	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	25	,	,	PUNCT
cana-1625	162	26	𝜚	𝜚	NOUN
cana-1625	162	27	)	)	PUNCT
cana-1625	162	28	,	,	PUNCT
cana-1625	162	29	𝔖(𝔏𝜁	𝔖(𝔏𝜁	NUM
cana-1625	162	30	,	,	PUNCT
cana-1625	162	31	�	�	PROPN
cana-1625	162	32	̈	̈	X
cana-1625	162	33	�	�	NOUN
cana-1625	162	34	𝜁	𝜁	PROPN
cana-1625	162	35	,	,	PUNCT
cana-1625	162	36	𝜚	𝜚	NOUN
cana-1625	162	37	)	)	PUNCT
cana-1625	162	38	,	,	PUNCT
cana-1625	162	39	𝔖(	𝔖(	PROPN
cana-1625	162	40	�	�	PROPN
cana-1625	162	41	̈	̈	X
cana-1625	162	42	�	�	PROPN
cana-1625	162	43	𝜏	𝜏	NOUN
cana-1625	162	44	,	,	PUNCT
cana-1625	162	45	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	46	,	,	PUNCT
cana-1625	162	47	𝜚	𝜚	NOUN
cana-1625	162	48	)	)	PUNCT
cana-1625	162	49	,	,	PUNCT
cana-1625	162	50	𝔖(	𝔖(	PROPN
cana-1625	162	51	�	�	PROPN
cana-1625	162	52	̈	̈	X
cana-1625	162	53	�	�	PROPN
cana-1625	162	54	𝜁	𝜁	PROPN
cana-1625	162	55	,	,	PUNCT
cana-1625	162	56	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	57	,	,	PUNCT
cana-1625	162	58	𝜚	𝜚	NOUN
cana-1625	162	59	)	)	PUNCT
cana-1625	162	60	,	,	PUNCT
cana-1625	162	61	𝔖(	𝔖(	PROPN
cana-1625	162	62	�	�	PROPN
cana-1625	162	63	̈	̈	X
cana-1625	162	64	�	�	PROPN
cana-1625	162	65	𝜏	𝜏	NOUN
cana-1625	162	66	,	,	PUNCT
cana-1625	162	67	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	162	68	,	,	PUNCT
cana-1625	162	69	𝜚	𝜚	NOUN
cana-1625	162	70	)	)	PUNCT
cana-1625	162	71	}	}	PUNCT
cana-1625	162	72	=	=	SYM
cana-1625	162	73	max{𝔖(𝜁	max{𝔖(𝜁	PROPN
cana-1625	162	74	,	,	PUNCT
cana-1625	162	75	𝜏	𝜏	NOUN
cana-1625	162	76	,	,	PUNCT
cana-1625	162	77	𝜚	𝜚	NOUN
cana-1625	162	78	)	)	PUNCT
cana-1625	162	79	,	,	PUNCT
cana-1625	162	80	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	162	81	,	,	PUNCT
cana-1625	162	82	𝜁	𝜁	PROPN
cana-1625	162	83	,	,	PUNCT
cana-1625	162	84	𝜚	𝜚	NOUN
cana-1625	162	85	)	)	PUNCT
cana-1625	162	86	,	,	PUNCT
cana-1625	162	87	𝔖(𝜏	𝔖(𝜏	NUM
cana-1625	162	88	,	,	PUNCT
cana-1625	162	89	𝜏	𝜏	NOUN
cana-1625	162	90	,	,	PUNCT
cana-1625	162	91	𝜚	𝜚	NOUN
cana-1625	162	92	)	)	PUNCT
cana-1625	162	93	,	,	PUNCT
cana-1625	162	94	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	162	95	,	,	PUNCT
cana-1625	162	96	𝜏	𝜏	NOUN
cana-1625	162	97	,	,	PUNCT
cana-1625	162	98	𝜚	𝜚	NOUN
cana-1625	162	99	)	)	PUNCT
cana-1625	162	100	,	,	PUNCT
cana-1625	162	101	𝔖(𝜏	𝔖(𝜏	NUM
cana-1625	162	102	,	,	PUNCT
cana-1625	162	103	𝜁	𝜁	PROPN
cana-1625	162	104	,	,	PUNCT
cana-1625	162	105	𝜚	𝜚	NOUN
cana-1625	162	106	)	)	PUNCT
cana-1625	162	107	}	}	PUNCT
cana-1625	162	108	=	=	SYM
cana-1625	162	109	max{𝔖(𝜁	max{𝔖(𝜁	PROPN
cana-1625	162	110	,	,	PUNCT
cana-1625	162	111	𝜏	𝜏	NOUN
cana-1625	162	112	,	,	PUNCT
cana-1625	162	113	𝜚	𝜚	NOUN
cana-1625	162	114	)	)	PUNCT
cana-1625	162	115	,	,	PUNCT
cana-1625	162	116	0,0	0,0	NOUN
cana-1625	162	117	,	,	PUNCT
cana-1625	162	118	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	162	119	,	,	PUNCT
cana-1625	162	120	𝜏	𝜏	NOUN
cana-1625	162	121	,	,	PUNCT
cana-1625	162	122	𝜚	𝜚	NOUN
cana-1625	162	123	)	)	PUNCT
cana-1625	162	124	,	,	PUNCT
cana-1625	162	125	𝔖(𝜏	𝔖(𝜏	NUM
cana-1625	162	126	,	,	PUNCT
cana-1625	162	127	𝜁	𝜁	PROPN
cana-1625	162	128	,	,	PUNCT
cana-1625	162	129	𝜚	𝜚	NOUN
cana-1625	162	130	)	)	PUNCT
cana-1625	162	131	}	}	PUNCT
cana-1625	162	132	=	=	SYM
cana-1625	162	133	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	162	134	,	,	PUNCT
cana-1625	162	135	𝜏	𝜏	NOUN
cana-1625	162	136	,	,	PUNCT
cana-1625	162	137	𝜚	𝜚	NOUN
cana-1625	162	138	)	)	PUNCT
cana-1625	162	139	and	and	CCONJ
cana-1625	162	140	communications	communication	NOUN
cana-1625	162	141	on	on	ADP
cana-1625	162	142	applied	apply	VERB
cana-1625	162	143	nonlinear	nonlinear	ADJ
cana-1625	162	144	analysis	analysis	NOUN
cana-1625	162	145	issn	issn	NOUN
cana-1625	162	146	:	:	PUNCT
cana-1625	162	147	1074	1074	NUM
cana-1625	162	148	-	-	PUNCT
cana-1625	162	149	133x	133x	NUM
cana-1625	162	150	vol	vol	NOUN
cana-1625	162	151	32	32	NUM
cana-1625	162	152	no	no	NOUN
cana-1625	162	153	.	.	NOUN
cana-1625	162	154	1	1	NUM
cana-1625	162	155	(	(	PUNCT
cana-1625	162	156	2025	2025	NUM
cana-1625	162	157	)	)	PUNCT
cana-1625	162	158	121	121	NUM
cana-1625	162	159	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	162	160	𝔗(𝜁	𝔗(𝜁	SYM
cana-1625	162	161	,	,	PUNCT
cana-1625	162	162	𝜏	𝜏	NOUN
cana-1625	162	163	,	,	PUNCT
cana-1625	162	164	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	162	165	)	)	PUNCT
cana-1625	162	166	=	=	SYM
cana-1625	162	167	𝔗(	𝔗(	ADJ
cana-1625	162	168	�	�	PROPN
cana-1625	162	169	̈	̈	SYM
cana-1625	162	170	�	�	PROPN
cana-1625	162	171	𝜁	𝜁	PROPN
cana-1625	162	172	,	,	PUNCT
cana-1625	162	173	�	�	PROPN
cana-1625	162	174	̈	̈	X
cana-1625	162	175	�	�	NOUN
cana-1625	162	176	𝜏	𝜏	NOUN
cana-1625	162	177	,	,	PUNCT
cana-1625	162	178	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	162	179	)	)	PUNCT
cana-1625	162	180	≤	≤	NUM
cana-1625	162	181	max{𝔗(𝔏𝜁	max{𝔗(𝔏𝜁	NUM
cana-1625	162	182	,	,	PUNCT
cana-1625	162	183	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	184	,	,	PUNCT
cana-1625	162	185	𝜚	𝜚	NOUN
cana-1625	162	186	)	)	PUNCT
cana-1625	162	187	,	,	PUNCT
cana-1625	162	188	𝔗(𝔏𝜁	𝔗(𝔏𝜁	VERB
cana-1625	162	189	,	,	PUNCT
cana-1625	162	190	�	�	PROPN
cana-1625	162	191	̈	̈	X
cana-1625	162	192	�	�	NOUN
cana-1625	162	193	𝜁	𝜁	PROPN
cana-1625	162	194	,	,	PUNCT
cana-1625	162	195	𝜚	𝜚	NOUN
cana-1625	162	196	)	)	PUNCT
cana-1625	162	197	,	,	PUNCT
cana-1625	162	198	𝔗(	𝔗(	ADJ
cana-1625	162	199	�	�	PROPN
cana-1625	162	200	̈	̈	X
cana-1625	162	201	�	�	NOUN
cana-1625	162	202	𝜏	𝜏	NOUN
cana-1625	162	203	,	,	PUNCT
cana-1625	162	204	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	205	,	,	PUNCT
cana-1625	162	206	𝜚	𝜚	NOUN
cana-1625	162	207	)	)	PUNCT
cana-1625	162	208	,	,	PUNCT
cana-1625	162	209	𝔗(	𝔗(	ADJ
cana-1625	162	210	�	�	PROPN
cana-1625	162	211	̈	̈	SYM
cana-1625	162	212	�	�	PROPN
cana-1625	162	213	𝜁	𝜁	PROPN
cana-1625	162	214	,	,	PUNCT
cana-1625	162	215	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	162	216	,	,	PUNCT
cana-1625	162	217	𝜚	𝜚	NOUN
cana-1625	162	218	)	)	PUNCT
cana-1625	162	219	,	,	PUNCT
cana-1625	162	220	𝔗(	𝔗(	ADJ
cana-1625	162	221	�	�	PROPN
cana-1625	162	222	̈	̈	X
cana-1625	162	223	�	�	PROPN
cana-1625	162	224	𝜏	𝜏	NOUN
cana-1625	162	225	,	,	PUNCT
cana-1625	162	226	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	162	227	,	,	PUNCT
cana-1625	162	228	𝜚	𝜚	NOUN
cana-1625	162	229	)	)	PUNCT
cana-1625	162	230	}	}	PUNCT
cana-1625	162	231	=	=	SYM
cana-1625	162	232	max{𝔗(𝜁	max{𝔗(𝜁	PROPN
cana-1625	162	233	,	,	PUNCT
cana-1625	162	234	𝜏	𝜏	NOUN
cana-1625	162	235	,	,	PUNCT
cana-1625	162	236	𝜚	𝜚	NOUN
cana-1625	162	237	)	)	PUNCT
cana-1625	162	238	,	,	PUNCT
cana-1625	162	239	𝔗(𝜁	𝔗(𝜁	ADV
cana-1625	162	240	,	,	PUNCT
cana-1625	162	241	𝜁	𝜁	PROPN
cana-1625	162	242	,	,	PUNCT
cana-1625	162	243	𝜚	𝜚	NOUN
cana-1625	162	244	)	)	PUNCT
cana-1625	162	245	,	,	PUNCT
cana-1625	162	246	𝔗(𝜏	𝔗(𝜏	X
cana-1625	162	247	,	,	PUNCT
cana-1625	162	248	𝜏	𝜏	NOUN
cana-1625	162	249	,	,	PUNCT
cana-1625	162	250	𝜚	𝜚	NOUN
cana-1625	162	251	)	)	PUNCT
cana-1625	162	252	,	,	PUNCT
cana-1625	162	253	𝔗(𝜁	𝔗(𝜁	ADV
cana-1625	162	254	,	,	PUNCT
cana-1625	162	255	𝜏	𝜏	NOUN
cana-1625	162	256	,	,	PUNCT
cana-1625	162	257	𝜚	𝜚	NOUN
cana-1625	162	258	)	)	PUNCT
cana-1625	162	259	,	,	PUNCT
cana-1625	162	260	𝔗(𝜏	𝔗(𝜏	PROPN
cana-1625	162	261	,	,	PUNCT
cana-1625	162	262	𝜁	𝜁	PROPN
cana-1625	162	263	,	,	PUNCT
cana-1625	162	264	𝜚	𝜚	NOUN
cana-1625	162	265	)	)	PUNCT
cana-1625	162	266	}	}	PUNCT
cana-1625	162	267	=	=	SYM
cana-1625	163	1	max{𝔗(𝜁	max{𝔗(𝜁	PROPN
cana-1625	163	2	,	,	PUNCT
cana-1625	163	3	𝜏	𝜏	NOUN
cana-1625	163	4	,	,	PUNCT
cana-1625	163	5	𝜚	𝜚	NOUN
cana-1625	163	6	)	)	PUNCT
cana-1625	163	7	,	,	PUNCT
cana-1625	163	8	0,0	0,0	NOUN
cana-1625	163	9	,	,	PUNCT
cana-1625	163	10	𝔗(𝜁	𝔗(𝜁	ADV
cana-1625	163	11	,	,	PUNCT
cana-1625	163	12	𝜏	𝜏	NOUN
cana-1625	163	13	,	,	PUNCT
cana-1625	163	14	𝜚	𝜚	NOUN
cana-1625	163	15	)	)	PUNCT
cana-1625	163	16	,	,	PUNCT
cana-1625	163	17	𝔗(𝜏	𝔗(𝜏	PROPN
cana-1625	163	18	,	,	PUNCT
cana-1625	163	19	𝜁	𝜁	PROPN
cana-1625	163	20	,	,	PUNCT
cana-1625	163	21	𝜚	𝜚	NOUN
cana-1625	163	22	)	)	PUNCT
cana-1625	163	23	}	}	PUNCT
cana-1625	163	24	=	=	PUNCT
cana-1625	163	25	𝔗(𝜁	𝔗(𝜁	ADJ
cana-1625	163	26	,	,	PUNCT
cana-1625	163	27	𝜏	𝜏	NOUN
cana-1625	163	28	,	,	PUNCT
cana-1625	163	29	𝜚	𝜚	NOUN
cana-1625	163	30	)	)	PUNCT
cana-1625	163	31	.	.	PUNCT
cana-1625	164	1	by	by	ADP
cana-1625	164	2	lemma	lemma	PROPN
cana-1625	164	3	(	(	PUNCT
cana-1625	164	4	2.9	2.9	NUM
cana-1625	164	5	)	)	PUNCT
cana-1625	164	6	,	,	PUNCT
cana-1625	164	7	we	we	PRON
cana-1625	164	8	have	have	VERB
cana-1625	164	9	𝜁	𝜁	NOUN
cana-1625	164	10	=	=	PUNCT
cana-1625	164	11	𝜏.	𝜏.	NOUN
cana-1625	164	12	hence	hence	ADV
cana-1625	164	13	𝔄,̈	𝔄,̈	PROPN
cana-1625	164	14	�	�	PROPN
cana-1625	164	15	̈	̈	X
cana-1625	164	16	�	�	PROPN
cana-1625	164	17	,	,	PUNCT
cana-1625	164	18	𝔏	𝔏	PROPN
cana-1625	164	19	and	and	CCONJ
cana-1625	164	20	𝔚	𝔚	PROPN
cana-1625	164	21	have	have	VERB
cana-1625	164	22	a	a	DET
cana-1625	164	23	unique	unique	ADJ
cana-1625	164	24	common	common	ADJ
cana-1625	164	25	fixed	fix	VERB
cana-1625	164	26	point	point	NOUN
cana-1625	164	27	.	.	PUNCT
cana-1625	165	1	example	example	NOUN
cana-1625	165	2	3.5	3.5	NUM
cana-1625	165	3	:	:	PUNCT
cana-1625	165	4	let	let	VERB
cana-1625	165	5	ξ	ξ	X
cana-1625	165	6	=	=	SYM
cana-1625	165	7	ℝ.	ℝ.	PROPN
cana-1625	165	8	consider	consider	VERB
cana-1625	165	9	the	the	DET
cana-1625	165	10	metric	metric	ADJ
cana-1625	165	11	𝒹(𝔨	𝒹(𝔨	NOUN
cana-1625	165	12	,	,	PUNCT
cana-1625	165	13	𝜍̃	𝜍̃	NOUN
cana-1625	165	14	)	)	PUNCT
cana-1625	165	15	=	=	PUNCT
cana-1625	166	1	|𝔨|	|𝔨|	NOUN
cana-1625	166	2	+	+	CCONJ
cana-1625	166	3	|𝜍̃|	|𝜍̃|	NOUN
cana-1625	166	4	,	,	PUNCT
cana-1625	166	5	for	for	ADP
cana-1625	166	6	all	all	DET
cana-1625	166	7	𝔨	𝔨	PROPN
cana-1625	166	8	≠	≠	PROPN
cana-1625	166	9	𝜍̃	𝜍̃	PROPN
cana-1625	166	10	and	and	CCONJ
cana-1625	166	11	𝒹(𝔨	𝒹(𝔨	NOUN
cana-1625	166	12	,	,	PUNCT
cana-1625	166	13	𝜍̃	𝜍̃	NOUN
cana-1625	166	14	)	)	PUNCT
cana-1625	166	15	=	=	SYM
cana-1625	166	16	0	0	NUM
cana-1625	166	17	,	,	PUNCT
cana-1625	166	18	for	for	ADP
cana-1625	166	19	𝔨	𝔨	PROPN
cana-1625	166	20	=	=	SYM
cana-1625	166	21	𝜍̃	𝜍̃	PROPN
cana-1625	166	22	on	on	ADP
cana-1625	166	23	ξ	ξ	PROPN
cana-1625	166	24	.	.	PUNCT
cana-1625	167	1	let	let	VERB
cana-1625	167	2	𝔯	𝔯	PROPN
cana-1625	167	3	∗	∗	VERB
cana-1625	167	4	𝔰	𝔰	PRON
cana-1625	167	5	=	=	SYM
cana-1625	167	6	min	min	PROPN
cana-1625	167	7	{	{	PUNCT
cana-1625	167	8	𝔯	𝔯	PROPN
cana-1625	167	9	,	,	PUNCT
cana-1625	167	10	𝔰	𝔰	NOUN
cana-1625	167	11	}	}	PUNCT
cana-1625	167	12	and	and	CCONJ
cana-1625	167	13	𝔯⨀𝔰	𝔯⨀𝔰	NOUN
cana-1625	167	14	=	=	SYM
cana-1625	167	15	max{𝔯	max{𝔯	NOUN
cana-1625	167	16	,	,	PUNCT
cana-1625	167	17	𝔰	𝔰	NOUN
cana-1625	167	18	}	}	PUNCT
cana-1625	167	19	,	,	PUNCT
cana-1625	167	20	for	for	ADP
cana-1625	167	21	all	all	DET
cana-1625	167	22	𝔯	𝔯	PROPN
cana-1625	167	23	,	,	PUNCT
cana-1625	167	24	𝔰	𝔰	PROPN
cana-1625	167	25	∈	∈	PROPN
cana-1625	168	1	[	[	X
cana-1625	168	2	0,1	0,1	NUM
cana-1625	168	3	]	]	PUNCT
cana-1625	168	4	.	.	PUNCT
cana-1625	169	1	for	for	ADP
cana-1625	169	2	each	each	DET
cana-1625	169	3	𝜚	𝜚	NOUN
cana-1625	169	4	>	>	X
cana-1625	169	5	0	0	PROPN
cana-1625	169	6	,	,	PUNCT
cana-1625	169	7	𝔨	𝔨	PROPN
cana-1625	169	8	,	,	PUNCT
cana-1625	169	9	𝜍̃	𝜍̃	PROPN
cana-1625	169	10	∈	∈	PROPN
cana-1625	169	11	ξ	ξ	PROPN
cana-1625	169	12	,	,	PUNCT
cana-1625	169	13	we	we	PRON
cana-1625	169	14	define	define	VERB
cana-1625	169	15	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	169	16	,	,	PUNCT
cana-1625	169	17	𝜍̃	𝜍̃	PROPN
cana-1625	169	18	,	,	PUNCT
cana-1625	169	19	𝜚	𝜚	NOUN
cana-1625	169	20	)	)	PUNCT
cana-1625	169	21	=	=	PUNCT
cana-1625	169	22	𝑒	𝑒	PROPN
cana-1625	169	23	−	−	PROPN
cana-1625	169	24	|𝔨−	|𝔨−	PROPN
cana-1625	169	25	�	�	PROPN
cana-1625	169	26	̃	̃	PROPN
cana-1625	169	27	�	�	PROPN
cana-1625	169	28	|	|	NOUN
cana-1625	169	29	𝜚	𝜚	NOUN
cana-1625	169	30	,	,	PUNCT
cana-1625	169	31	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	169	32	,	,	PUNCT
cana-1625	169	33	𝜍̃	𝜍̃	PROPN
cana-1625	169	34	,	,	PUNCT
cana-1625	169	35	𝜚	𝜚	NOUN
cana-1625	169	36	)	)	PUNCT
cana-1625	169	37	=	=	SYM
cana-1625	169	38	(	(	PUNCT
cana-1625	169	39	𝑒	𝑒	PROPN
cana-1625	169	40	|𝔨−	|𝔨−	PROPN
cana-1625	169	41	�	�	PROPN
cana-1625	169	42	̃	̃	PROPN
cana-1625	169	43	�	�	NOUN
cana-1625	169	44	|	|	NOUN
cana-1625	170	1	𝜚	𝜚	NOUN
cana-1625	170	2	−	−	PROPN
cana-1625	170	3	1)𝑒	1)𝑒	NUM
cana-1625	170	4	−	−	ADP
cana-1625	170	5	|𝔨−	|𝔨−	PROPN
cana-1625	170	6	�	�	SYM
cana-1625	170	7	̃	̃	PROPN
cana-1625	170	8	�	�	PROPN
cana-1625	170	9	|	|	ADJ
cana-1625	170	10	𝜚	𝜚	NOUN
cana-1625	170	11	and	and	CCONJ
cana-1625	170	12	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	170	13	,	,	PUNCT
cana-1625	170	14	𝜍̃	𝜍̃	PROPN
cana-1625	170	15	,	,	PUNCT
cana-1625	170	16	𝜚	𝜚	NOUN
cana-1625	170	17	)	)	PUNCT
cana-1625	171	1	=	=	SYM
cana-1625	171	2	(	(	PUNCT
cana-1625	171	3	𝑒	𝑒	PROPN
cana-1625	171	4	|𝔨−	|𝔨−	PROPN
cana-1625	171	5	�	�	PROPN
cana-1625	171	6	̃	̃	PROPN
cana-1625	171	7	�	�	NOUN
cana-1625	171	8	|	|	NOUN
cana-1625	171	9	𝜚	𝜚	NOUN
cana-1625	171	10	−	−	NOUN
cana-1625	171	11	1	1	NUM
cana-1625	171	12	)	)	PUNCT
cana-1625	171	13	.	.	PUNCT
cana-1625	172	1	then	then	ADV
cana-1625	172	2	(	(	PUNCT
cana-1625	172	3	ξ	ξ	X
cana-1625	172	4	,	,	PUNCT
cana-1625	172	5	ℜ	ℜ	PROPN
cana-1625	172	6	,	,	PUNCT
cana-1625	172	7	𝔖	𝔖	PROPN
cana-1625	172	8	,	,	PUNCT
cana-1625	172	9	𝔗	𝔗	PROPN
cana-1625	172	10	∗	∗	NOUN
cana-1625	172	11	,	,	PUNCT
cana-1625	172	12	⨀	⨀	NOUN
cana-1625	172	13	)	)	PUNCT
cana-1625	172	14	is	be	AUX
cana-1625	172	15	a	a	DET
cana-1625	172	16	nms	nms	NOUN
cana-1625	172	17	with	with	ADP
cana-1625	172	18	lim	lim	PROPN
cana-1625	172	19	𝜚→∞	𝜚→∞	X
cana-1625	172	20	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	172	21	,	,	PUNCT
cana-1625	172	22	𝜍̃	𝜍̃	PROPN
cana-1625	172	23	,	,	PUNCT
cana-1625	172	24	𝜚	𝜚	NOUN
cana-1625	172	25	)	)	PUNCT
cana-1625	172	26	=	=	SYM
cana-1625	172	27	1	1	NUM
cana-1625	172	28	,	,	PUNCT
cana-1625	172	29	lim	lim	PROPN
cana-1625	172	30	𝜚→∞	𝜚→∞	X
cana-1625	172	31	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	172	32	,	,	PUNCT
cana-1625	172	33	𝜍̃	𝜍̃	PROPN
cana-1625	172	34	,	,	PUNCT
cana-1625	172	35	𝜚	𝜚	NOUN
cana-1625	172	36	)	)	PUNCT
cana-1625	173	1	=	=	SYM
cana-1625	173	2	0	0	PUNCT
cana-1625	173	3	and	and	CCONJ
cana-1625	173	4	lim	lim	PROPN
cana-1625	173	5	𝜚→∞	𝜚→∞	X
cana-1625	173	6	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	173	7	,	,	PUNCT
cana-1625	173	8	𝜍̃	𝜍̃	PROPN
cana-1625	173	9	,	,	PUNCT
cana-1625	173	10	𝜚	𝜚	NOUN
cana-1625	173	11	)	)	PUNCT
cana-1625	173	12	=	=	SYM
cana-1625	173	13	0	0	NUM
cana-1625	173	14	,	,	PUNCT
cana-1625	173	15	for	for	ADP
cana-1625	173	16	all	all	DET
cana-1625	173	17	𝔨	𝔨	PROPN
cana-1625	173	18	,	,	PUNCT
cana-1625	173	19	𝜍̃	𝜍̃	PROPN
cana-1625	173	20	∈	∈	PROPN
cana-1625	173	21	ξ	ξ	X
cana-1625	173	22	.	.	PUNCT
cana-1625	174	1	now	now	ADV
cana-1625	174	2	we	we	PRON
cana-1625	174	3	define	define	VERB
cana-1625	174	4	the	the	DET
cana-1625	174	5	self	self	NOUN
cana-1625	174	6	maps	map	NOUN
cana-1625	174	7	�	�	PROPN
cana-1625	174	8	̈	̈	X
cana-1625	174	9	�	�	PROPN
cana-1625	174	10	,	,	PUNCT
cana-1625	174	11	𝔅,̈	𝔅,̈	PROPN
cana-1625	174	12	𝔏	𝔏	PROPN
cana-1625	174	13	and	and	CCONJ
cana-1625	174	14	𝔚	𝔚	PROPN
cana-1625	174	15	on	on	ADP
cana-1625	174	16	ξ	ξ	PROPN
cana-1625	174	17	by	by	ADP
cana-1625	174	18	𝔄	𝔄	PROPN
cana-1625	174	19	̈	̈	PUNCT
cana-1625	174	20	(	(	PUNCT
cana-1625	174	21	𝔨	𝔨	NOUN
cana-1625	174	22	)	)	PUNCT
cana-1625	174	23	=	=	SYM
cana-1625	175	1	𝔨	𝔨	PROPN
cana-1625	175	2	9	9	NUM
cana-1625	175	3	,	,	PUNCT
cana-1625	175	4	�	�	PROPN
cana-1625	175	5	̈	̈	X
cana-1625	175	6	�	�	NOUN
cana-1625	175	7	(𝔨	(𝔨	NOUN
cana-1625	175	8	)	)	PUNCT
cana-1625	175	9	=	=	SYM
cana-1625	175	10	𝔨	𝔨	PROPN
cana-1625	175	11	12	12	NUM
cana-1625	175	12	,	,	PUNCT
cana-1625	175	13	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	175	14	)	)	PUNCT
cana-1625	175	15	=	=	SYM
cana-1625	175	16	𝔨	𝔨	PROPN
cana-1625	175	17	2	2	NUM
cana-1625	175	18	,	,	PUNCT
cana-1625	175	19	𝔚(𝔨	𝔚(𝔨	NOUN
cana-1625	175	20	)	)	PUNCT
cana-1625	175	21	=	=	SYM
cana-1625	175	22	𝔨	𝔨	PROPN
cana-1625	175	23	4	4	NUM
cana-1625	175	24	.	.	PUNCT
cana-1625	176	1	let	let	VERB
cana-1625	176	2	𝔡	𝔡	PRON
cana-1625	176	3	=	=	SYM
cana-1625	176	4	1	1	NUM
cana-1625	176	5	3	3	NUM
cana-1625	176	6	.	.	PUNCT
cana-1625	177	1	for	for	ADP
cana-1625	177	2	𝔨	𝔨	PROPN
cana-1625	177	3	≠	≠	PROPN
cana-1625	177	4	𝜍̃	𝜍̃	PROPN
cana-1625	177	5	,	,	PUNCT
cana-1625	177	6	ℜ	ℜ	PROPN
cana-1625	177	7	(	(	PUNCT
cana-1625	177	8	�	�	PROPN
cana-1625	177	9	̈	̈	X
cana-1625	177	10	�	�	PROPN
cana-1625	177	11	𝔨	𝔨	PROPN
cana-1625	177	12	,	,	PUNCT
cana-1625	177	13	�	�	PROPN
cana-1625	177	14	̈	̈	X
cana-1625	177	15	�	�	PROPN
cana-1625	177	16	𝜍̃	𝜍̃	PROPN
cana-1625	177	17	,	,	PUNCT
cana-1625	177	18	𝜚	𝜚	NOUN
cana-1625	177	19	3	3	NUM
cana-1625	177	20	)	)	PUNCT
cana-1625	177	21	=	=	SYM
cana-1625	177	22	𝑒	𝑒	PROPN
cana-1625	177	23	−3(|	−3(|	PROPN
cana-1625	177	24	�	�	PROPN
cana-1625	177	25	̈	̈	NOUN
cana-1625	177	26	�	�	NOUN
cana-1625	177	27	𝔨|+|	𝔨|+|	VERB
cana-1625	177	28	�	�	PROPN
cana-1625	177	29	̈	̈	SYM
cana-1625	177	30	�	�	PROPN
cana-1625	177	31	�	�	PROPN
cana-1625	177	32	̃	̃	PROPN
cana-1625	177	33	�	�	NOUN
cana-1625	177	34	|	|	NOUN
cana-1625	177	35	)	)	PUNCT
cana-1625	177	36	𝜚	𝜚	NOUN
cana-1625	178	1	=	=	NOUN
cana-1625	178	2	𝑒	𝑒	X
cana-1625	178	3	−3(|	−3(|	ADJ
cana-1625	178	4	𝔨	𝔨	PROPN
cana-1625	178	5	9	9	NUM
cana-1625	178	6	|+|	|+|	NUM
cana-1625	178	7	𝔨	𝔨	PROPN
cana-1625	178	8	12	12	NUM
cana-1625	178	9	|	|	NOUN
cana-1625	178	10	)	)	PUNCT
cana-1625	178	11	𝜚	𝜚	NOUN
cana-1625	178	12	=	=	PUNCT
cana-1625	178	13	𝑒	𝑒	PART
cana-1625	178	14	−(|	−(|	NOUN
cana-1625	179	1	𝔨	𝔨	PROPN
cana-1625	179	2	3	3	NUM
cana-1625	179	3	|+|	|+|	NOUN
cana-1625	179	4	𝔨	𝔨	PROPN
cana-1625	179	5	4	4	NUM
cana-1625	179	6	|	|	NOUN
cana-1625	179	7	)	)	PUNCT
cana-1625	179	8	𝜚	𝜚	NOUN
cana-1625	179	9	≥	≥	NOUN
cana-1625	179	10	𝑒	𝑒	ADP
cana-1625	179	11	−(|	−(|	NOUN
cana-1625	179	12	𝔨	𝔨	PROPN
cana-1625	179	13	2	2	NUM
cana-1625	179	14	|+|	|+|	NOUN
cana-1625	179	15	𝔨	𝔨	PROPN
cana-1625	179	16	4	4	NUM
cana-1625	179	17	|	|	NOUN
cana-1625	179	18	)	)	PUNCT
cana-1625	179	19	𝜚	𝜚	NOUN
cana-1625	179	20	=	=	PUNCT
cana-1625	179	21	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	179	22	,	,	PUNCT
cana-1625	179	23	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	179	24	,	,	PUNCT
cana-1625	179	25	𝜚	𝜚	NOUN
cana-1625	179	26	)	)	PUNCT
cana-1625	179	27	.	.	PUNCT
cana-1625	180	1	𝔖	𝔖	PROPN
cana-1625	180	2	(	(	PUNCT
cana-1625	180	3	�	�	PROPN
cana-1625	180	4	̈	̈	X
cana-1625	180	5	�	�	PROPN
cana-1625	180	6	𝔨	𝔨	PROPN
cana-1625	180	7	,	,	PUNCT
cana-1625	180	8	�	�	PROPN
cana-1625	180	9	̈	̈	X
cana-1625	180	10	�	�	PROPN
cana-1625	180	11	𝜍̃	𝜍̃	PROPN
cana-1625	180	12	,	,	PUNCT
cana-1625	180	13	𝜚	𝜚	NOUN
cana-1625	180	14	3	3	NUM
cana-1625	180	15	)	)	PUNCT
cana-1625	180	16	=	=	SYM
cana-1625	180	17	(	(	PUNCT
cana-1625	180	18	𝑒	𝑒	PROPN
cana-1625	180	19	3(|	3(|	PROPN
cana-1625	180	20	�	�	PROPN
cana-1625	180	21	̈	̈	NOUN
cana-1625	180	22	�	�	NOUN
cana-1625	180	23	𝔨|+|	𝔨|+|	VERB
cana-1625	180	24	�	�	PROPN
cana-1625	180	25	̈	̈	SYM
cana-1625	180	26	�	�	PROPN
cana-1625	180	27	�	�	PROPN
cana-1625	180	28	̃	̃	PROPN
cana-1625	180	29	�	�	NOUN
cana-1625	180	30	|	|	NOUN
cana-1625	180	31	)	)	PUNCT
cana-1625	180	32	𝜚	𝜚	NOUN
cana-1625	180	33	−	−	PROPN
cana-1625	180	34	1)𝑒	1)𝑒	NUM
cana-1625	180	35	−3(|	−3(|	PROPN
cana-1625	180	36	�	�	PROPN
cana-1625	180	37	̈	̈	NOUN
cana-1625	180	38	�	�	NOUN
cana-1625	180	39	𝔨|+|	𝔨|+|	VERB
cana-1625	180	40	�	�	PROPN
cana-1625	180	41	̈	̈	SYM
cana-1625	180	42	�	�	PROPN
cana-1625	180	43	�	�	PROPN
cana-1625	180	44	̃	̃	PROPN
cana-1625	180	45	�	�	NOUN
cana-1625	180	46	|	|	NOUN
cana-1625	180	47	)	)	PUNCT
cana-1625	180	48	𝜚	𝜚	NOUN
cana-1625	180	49	=	=	SYM
cana-1625	180	50	(	(	PUNCT
cana-1625	180	51	𝑒	𝑒	PROPN
cana-1625	180	52	3(|	3(|	NOUN
cana-1625	180	53	𝔨	𝔨	PROPN
cana-1625	180	54	9	9	NUM
cana-1625	180	55	|+|	|+|	NUM
cana-1625	180	56	𝔨	𝔨	PROPN
cana-1625	180	57	12	12	NUM
cana-1625	180	58	|	|	NOUN
cana-1625	180	59	)	)	PUNCT
cana-1625	181	1	𝜚	𝜚	NOUN
cana-1625	181	2	−	−	PROPN
cana-1625	181	3	1)𝑒	1)𝑒	NUM
cana-1625	181	4	−3(|	−3(|	PROPN
cana-1625	181	5	𝔨	𝔨	PROPN
cana-1625	181	6	9	9	NUM
cana-1625	181	7	|+|	|+|	NUM
cana-1625	181	8	𝔨	𝔨	PROPN
cana-1625	181	9	12	12	NUM
cana-1625	181	10	|	|	NOUN
cana-1625	181	11	)	)	PUNCT
cana-1625	181	12	𝜚	𝜚	NOUN
cana-1625	181	13	=	=	SYM
cana-1625	181	14	(	(	PUNCT
cana-1625	181	15	𝑒	𝑒	PROPN
cana-1625	181	16	(	(	PUNCT
cana-1625	181	17	|	|	ADV
cana-1625	181	18	𝔨	𝔨	PROPN
cana-1625	181	19	3	3	NUM
cana-1625	181	20	|+|	|+|	NOUN
cana-1625	181	21	𝔨	𝔨	PROPN
cana-1625	181	22	4	4	NUM
cana-1625	181	23	|	|	NOUN
cana-1625	181	24	)	)	PUNCT
cana-1625	181	25	𝜚	𝜚	NOUN
cana-1625	181	26	−	−	PROPN
cana-1625	181	27	1)𝑒	1)𝑒	NUM
cana-1625	181	28	−(|	−(|	NOUN
cana-1625	181	29	𝔨	𝔨	PROPN
cana-1625	181	30	3	3	NUM
cana-1625	181	31	|+|	|+|	NOUN
cana-1625	181	32	𝔨	𝔨	PROPN
cana-1625	181	33	4	4	NUM
cana-1625	181	34	|	|	NOUN
cana-1625	181	35	)	)	PUNCT
cana-1625	181	36	𝜚	𝜚	NOUN
cana-1625	181	37	≤	≤	NOUN
cana-1625	181	38	(	(	PUNCT
cana-1625	181	39	𝑒	𝑒	PROPN
cana-1625	181	40	(	(	PUNCT
cana-1625	181	41	|	|	ADV
cana-1625	181	42	𝔨	𝔨	PROPN
cana-1625	181	43	2	2	NUM
cana-1625	181	44	|+|	|+|	NOUN
cana-1625	181	45	𝔨	𝔨	PROPN
cana-1625	181	46	4	4	NUM
cana-1625	181	47	|	|	NOUN
cana-1625	181	48	)	)	PUNCT
cana-1625	181	49	𝜚	𝜚	NOUN
cana-1625	181	50	−	−	PROPN
cana-1625	181	51	1)𝑒	1)𝑒	NUM
cana-1625	181	52	−(|	−(|	NOUN
cana-1625	182	1	𝔨	𝔨	PROPN
cana-1625	182	2	2	2	NUM
cana-1625	182	3	|+|	|+|	NOUN
cana-1625	182	4	𝔨	𝔨	PROPN
cana-1625	182	5	4	4	NUM
cana-1625	182	6	|	|	NOUN
cana-1625	182	7	)	)	PUNCT
cana-1625	182	8	𝜚	𝜚	NOUN
cana-1625	182	9	=	=	SYM
cana-1625	182	10	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	182	11	,	,	PUNCT
cana-1625	182	12	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	182	13	,	,	PUNCT
cana-1625	182	14	𝜚	𝜚	NOUN
cana-1625	182	15	)	)	PUNCT
cana-1625	182	16	.	.	PUNCT
cana-1625	183	1	𝔗	𝔗	PROPN
cana-1625	183	2	(	(	PUNCT
cana-1625	183	3	�	�	PROPN
cana-1625	183	4	̈	̈	X
cana-1625	183	5	�	�	PROPN
cana-1625	183	6	𝔨	𝔨	PROPN
cana-1625	183	7	,	,	PUNCT
cana-1625	183	8	�	�	PROPN
cana-1625	183	9	̈	̈	X
cana-1625	183	10	�	�	PROPN
cana-1625	183	11	𝜍̃	𝜍̃	PROPN
cana-1625	183	12	,	,	PUNCT
cana-1625	183	13	𝜚	𝜚	NOUN
cana-1625	183	14	3	3	NUM
cana-1625	183	15	)	)	PUNCT
cana-1625	183	16	=	=	SYM
cana-1625	183	17	(	(	PUNCT
cana-1625	183	18	𝑒	𝑒	PROPN
cana-1625	183	19	3(|	3(|	PROPN
cana-1625	183	20	�	�	PROPN
cana-1625	183	21	̈	̈	NOUN
cana-1625	183	22	�	�	NOUN
cana-1625	183	23	𝔨|+|	𝔨|+|	VERB
cana-1625	183	24	�	�	PROPN
cana-1625	183	25	̈	̈	SYM
cana-1625	183	26	�	�	PROPN
cana-1625	183	27	�	�	PROPN
cana-1625	183	28	̃	̃	PROPN
cana-1625	183	29	�	�	NOUN
cana-1625	183	30	|	|	NOUN
cana-1625	183	31	)	)	PUNCT
cana-1625	183	32	𝜚	𝜚	NOUN
cana-1625	183	33	−	−	NOUN
cana-1625	183	34	1	1	NUM
cana-1625	183	35	)	)	PUNCT
cana-1625	183	36	=	=	SYM
cana-1625	184	1	(	(	PUNCT
cana-1625	184	2	𝑒	𝑒	PROPN
cana-1625	184	3	3(|	3(|	NOUN
cana-1625	184	4	𝔨	𝔨	PROPN
cana-1625	184	5	9	9	NUM
cana-1625	184	6	|+|	|+|	NUM
cana-1625	184	7	𝔨	𝔨	PROPN
cana-1625	184	8	12	12	NUM
cana-1625	184	9	|	|	NOUN
cana-1625	184	10	)	)	PUNCT
cana-1625	184	11	𝜚	𝜚	NOUN
cana-1625	184	12	−	−	NOUN
cana-1625	184	13	1	1	NUM
cana-1625	184	14	)	)	PUNCT
cana-1625	184	15	=	=	SYM
cana-1625	184	16	(	(	PUNCT
cana-1625	184	17	𝑒	𝑒	PROPN
cana-1625	184	18	(	(	PUNCT
cana-1625	184	19	|	|	ADV
cana-1625	184	20	𝔨	𝔨	PROPN
cana-1625	184	21	3	3	NUM
cana-1625	184	22	|+|	|+|	NOUN
cana-1625	184	23	𝔨	𝔨	PROPN
cana-1625	184	24	4	4	NUM
cana-1625	184	25	|	|	NOUN
cana-1625	184	26	)	)	PUNCT
cana-1625	184	27	𝜚	𝜚	NOUN
cana-1625	184	28	−	−	PROPN
cana-1625	184	29	1	1	NUM
cana-1625	184	30	)	)	PUNCT
cana-1625	184	31	≤	≤	NOUN
cana-1625	184	32	(	(	PUNCT
cana-1625	184	33	𝑒	𝑒	PROPN
cana-1625	184	34	(	(	PUNCT
cana-1625	184	35	|	|	ADV
cana-1625	184	36	𝔨	𝔨	PROPN
cana-1625	184	37	2	2	NUM
cana-1625	184	38	|+|	|+|	NOUN
cana-1625	184	39	𝔨	𝔨	PROPN
cana-1625	184	40	4	4	NUM
cana-1625	184	41	|	|	NOUN
cana-1625	184	42	)	)	PUNCT
cana-1625	185	1	𝜚	𝜚	NOUN
cana-1625	185	2	−	−	NOUN
cana-1625	185	3	1	1	NUM
cana-1625	185	4	)	)	PUNCT
cana-1625	185	5	=	=	SYM
cana-1625	186	1	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	186	2	,	,	PUNCT
cana-1625	186	3	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	186	4	,	,	PUNCT
cana-1625	186	5	𝜚	𝜚	NOUN
cana-1625	186	6	)	)	PUNCT
cana-1625	186	7	.	.	PUNCT
cana-1625	187	1	for	for	ADP
cana-1625	187	2	𝔨	𝔨	PROPN
cana-1625	187	3	=	=	SYM
cana-1625	187	4	𝜍̃	𝜍̃	PROPN
cana-1625	187	5	,	,	PUNCT
cana-1625	187	6	ℜ	ℜ	PROPN
cana-1625	187	7	(	(	PUNCT
cana-1625	187	8	�	�	PROPN
cana-1625	187	9	̈	̈	X
cana-1625	187	10	�	�	PROPN
cana-1625	187	11	𝔨	𝔨	PROPN
cana-1625	187	12	,	,	PUNCT
cana-1625	187	13	�	�	PROPN
cana-1625	187	14	̈	̈	X
cana-1625	187	15	�	�	PROPN
cana-1625	187	16	𝜍̃	𝜍̃	PROPN
cana-1625	187	17	,	,	PUNCT
cana-1625	187	18	𝜚	𝜚	NOUN
cana-1625	187	19	3	3	NUM
cana-1625	187	20	)	)	PUNCT
cana-1625	187	21	=	=	SYM
cana-1625	187	22	1	1	NUM
cana-1625	187	23	=	=	SYM
cana-1625	187	24	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	187	25	,	,	PUNCT
cana-1625	187	26	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	187	27	,	,	PUNCT
cana-1625	187	28	𝜚	𝜚	NOUN
cana-1625	187	29	)	)	PUNCT
cana-1625	187	30	,	,	PUNCT
cana-1625	187	31	𝔖	𝔖	PROPN
cana-1625	187	32	(	(	PUNCT
cana-1625	187	33	�	�	PROPN
cana-1625	187	34	̈	̈	X
cana-1625	187	35	�	�	PROPN
cana-1625	187	36	𝔨	𝔨	PROPN
cana-1625	187	37	,	,	PUNCT
cana-1625	187	38	�	�	PROPN
cana-1625	187	39	̈	̈	X
cana-1625	187	40	�	�	PROPN
cana-1625	187	41	𝜍̃	𝜍̃	PROPN
cana-1625	187	42	,	,	PUNCT
cana-1625	187	43	𝜚	𝜚	NOUN
cana-1625	187	44	3	3	NUM
cana-1625	187	45	)	)	PUNCT
cana-1625	187	46	=	=	SYM
cana-1625	187	47	0	0	PUNCT
cana-1625	188	1	=	=	SYM
cana-1625	188	2	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	188	3	,	,	PUNCT
cana-1625	188	4	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	188	5	,	,	PUNCT
cana-1625	188	6	𝜚	𝜚	NOUN
cana-1625	188	7	)	)	PUNCT
cana-1625	188	8	and	and	CCONJ
cana-1625	188	9	𝔗	𝔗	PROPN
cana-1625	188	10	(	(	PUNCT
cana-1625	188	11	�	�	PROPN
cana-1625	188	12	̈	̈	X
cana-1625	188	13	�	�	PROPN
cana-1625	188	14	𝔨	𝔨	PROPN
cana-1625	188	15	,	,	PUNCT
cana-1625	188	16	�	�	PROPN
cana-1625	188	17	̈	̈	X
cana-1625	188	18	�	�	PROPN
cana-1625	188	19	𝜍̃	𝜍̃	PROPN
cana-1625	188	20	,	,	PUNCT
cana-1625	188	21	𝜚	𝜚	NOUN
cana-1625	188	22	3	3	NUM
cana-1625	188	23	)	)	PUNCT
cana-1625	188	24	=	=	SYM
cana-1625	188	25	0	0	PUNCT
cana-1625	189	1	=	=	SYM
cana-1625	189	2	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	189	3	,	,	PUNCT
cana-1625	189	4	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	189	5	,	,	PUNCT
cana-1625	189	6	𝜚	𝜚	NOUN
cana-1625	189	7	)	)	PUNCT
cana-1625	189	8	.	.	PUNCT
cana-1625	190	1	so	so	ADV
cana-1625	190	2	that	that	SCONJ
cana-1625	190	3	for	for	ADP
cana-1625	190	4	any	any	DET
cana-1625	190	5	𝔨	𝔨	PROPN
cana-1625	190	6	,	,	PUNCT
cana-1625	190	7	𝜍̃	𝜍̃	PROPN
cana-1625	190	8	∈	∈	PROPN
cana-1625	190	9	ξ	ξ	PROPN
cana-1625	190	10	,	,	PUNCT
cana-1625	190	11	ℜ	ℜ	PROPN
cana-1625	190	12	(	(	PUNCT
cana-1625	190	13	�	�	PROPN
cana-1625	190	14	̈	̈	X
cana-1625	190	15	�	�	PROPN
cana-1625	190	16	𝔨	𝔨	PROPN
cana-1625	190	17	,	,	PUNCT
cana-1625	190	18	�	�	PROPN
cana-1625	190	19	̈	̈	X
cana-1625	190	20	�	�	PROPN
cana-1625	190	21	𝜍̃	𝜍̃	PROPN
cana-1625	190	22	,	,	PUNCT
cana-1625	190	23	𝜚	𝜚	NOUN
cana-1625	190	24	3	3	NUM
cana-1625	190	25	)	)	PUNCT
cana-1625	190	26	≥	≥	NOUN
cana-1625	190	27	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	190	28	,	,	PUNCT
cana-1625	190	29	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	190	30	,	,	PUNCT
cana-1625	190	31	𝜚	𝜚	NOUN
cana-1625	190	32	)	)	PUNCT
cana-1625	190	33	=	=	SYM
cana-1625	190	34	min	min	NOUN
cana-1625	190	35	{	{	PUNCT
cana-1625	190	36	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	190	37	,	,	PUNCT
cana-1625	190	38	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	190	39	,	,	PUNCT
cana-1625	190	40	𝜚	𝜚	NOUN
cana-1625	190	41	)	)	PUNCT
cana-1625	190	42	,	,	PUNCT
cana-1625	190	43	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	190	44	,	,	PUNCT
cana-1625	190	45	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	190	46	,	,	PUNCT
cana-1625	190	47	𝜚	𝜚	NOUN
cana-1625	190	48	)	)	PUNCT
cana-1625	190	49	,	,	PUNCT
cana-1625	190	50	ℜ(	ℜ(	X
cana-1625	190	51	�	�	PROPN
cana-1625	190	52	̈	̈	NOUN
cana-1625	190	53	�	�	PROPN
cana-1625	190	54	𝜍̃	𝜍̃	PROPN
cana-1625	190	55	,	,	PUNCT
cana-1625	190	56	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	190	57	,	,	PUNCT
cana-1625	190	58	𝜚	𝜚	NOUN
cana-1625	190	59	)	)	PUNCT
cana-1625	190	60	,	,	PUNCT
cana-1625	190	61	ℜ(	ℜ(	X
cana-1625	190	62	�	�	PROPN
cana-1625	190	63	̈	̈	X
cana-1625	190	64	�	�	PROPN
cana-1625	190	65	𝔨	𝔨	PROPN
cana-1625	190	66	,	,	PUNCT
cana-1625	190	67	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	190	68	,	,	PUNCT
cana-1625	190	69	𝜚	𝜚	NOUN
cana-1625	190	70	)	)	PUNCT
cana-1625	190	71	,	,	PUNCT
cana-1625	190	72	ℜ(	ℜ(	X
cana-1625	190	73	�	�	PROPN
cana-1625	190	74	̈	̈	NUM
cana-1625	190	75	�	�	PROPN
cana-1625	190	76	𝜍̃	𝜍̃	PROPN
cana-1625	190	77	,	,	PUNCT
cana-1625	190	78	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	190	79	,	,	PUNCT
cana-1625	190	80	𝜚	𝜚	NOUN
cana-1625	190	81	)	)	PUNCT
cana-1625	190	82	}	}	PUNCT
cana-1625	190	83	.	.	PUNCT
cana-1625	191	1	𝔖	𝔖	PROPN
cana-1625	191	2	(	(	PUNCT
cana-1625	191	3	�	�	PROPN
cana-1625	191	4	̈	̈	X
cana-1625	191	5	�	�	PROPN
cana-1625	191	6	𝔨	𝔨	PROPN
cana-1625	191	7	,	,	PUNCT
cana-1625	191	8	�	�	PROPN
cana-1625	191	9	̈	̈	X
cana-1625	191	10	�	�	PROPN
cana-1625	191	11	𝜍̃	𝜍̃	PROPN
cana-1625	191	12	,	,	PUNCT
cana-1625	191	13	𝜚	𝜚	NOUN
cana-1625	191	14	3	3	NUM
cana-1625	191	15	)	)	PUNCT
cana-1625	191	16	≤	≤	NOUN
cana-1625	191	17	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	191	18	,	,	PUNCT
cana-1625	191	19	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	191	20	,	,	PUNCT
cana-1625	191	21	𝜚	𝜚	NOUN
cana-1625	191	22	)	)	PUNCT
cana-1625	191	23	=	=	SYM
cana-1625	191	24	max{𝔖(𝔏𝔨	max{𝔖(𝔏𝔨	NOUN
cana-1625	191	25	,	,	PUNCT
cana-1625	191	26	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	191	27	,	,	PUNCT
cana-1625	191	28	𝜚	𝜚	NOUN
cana-1625	191	29	)	)	PUNCT
cana-1625	191	30	,	,	PUNCT
cana-1625	191	31	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	191	32	,	,	PUNCT
cana-1625	191	33	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	191	34	,	,	PUNCT
cana-1625	191	35	𝜚	𝜚	NOUN
cana-1625	191	36	)	)	PUNCT
cana-1625	191	37	,	,	PUNCT
cana-1625	191	38	𝔖(	𝔖(	PROPN
cana-1625	191	39	�	�	PROPN
cana-1625	191	40	̈	̈	X
cana-1625	191	41	�	�	PROPN
cana-1625	191	42	𝜍̃	𝜍̃	PROPN
cana-1625	191	43	,	,	PUNCT
cana-1625	191	44	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	191	45	,	,	PUNCT
cana-1625	191	46	𝜚	𝜚	NOUN
cana-1625	191	47	)	)	PUNCT
cana-1625	191	48	,	,	PUNCT
cana-1625	191	49	𝔖(	𝔖(	PROPN
cana-1625	191	50	�	�	PROPN
cana-1625	191	51	̈	̈	X
cana-1625	191	52	�	�	PROPN
cana-1625	191	53	𝔨	𝔨	PROPN
cana-1625	191	54	,	,	PUNCT
cana-1625	191	55	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	191	56	,	,	PUNCT
cana-1625	191	57	𝜚	𝜚	NOUN
cana-1625	191	58	)	)	PUNCT
cana-1625	191	59	,	,	PUNCT
cana-1625	191	60	𝔖(	𝔖(	PROPN
cana-1625	191	61	�	�	PROPN
cana-1625	191	62	̈	̈	X
cana-1625	191	63	�	�	PROPN
cana-1625	191	64	𝜍̃	𝜍̃	PROPN
cana-1625	191	65	,	,	PUNCT
cana-1625	191	66	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	191	67	,	,	PUNCT
cana-1625	191	68	𝜚	𝜚	NOUN
cana-1625	191	69	)	)	PUNCT
cana-1625	191	70	}	}	PUNCT
cana-1625	191	71	.	.	PUNCT
cana-1625	192	1	𝔗(	𝔗(	PROPN
cana-1625	192	2	�	�	PROPN
cana-1625	192	3	̈	̈	SYM
cana-1625	192	4	�	�	PROPN
cana-1625	192	5	𝔨	𝔨	PROPN
cana-1625	192	6	,	,	PUNCT
cana-1625	192	7	�	�	PROPN
cana-1625	192	8	̈	̈	X
cana-1625	192	9	�	�	PROPN
cana-1625	192	10	𝜍̃	𝜍̃	PROPN
cana-1625	192	11	,	,	PUNCT
cana-1625	192	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	192	13	)	)	PUNCT
cana-1625	192	14	≤	≤	NOUN
cana-1625	192	15	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	192	16	,	,	PUNCT
cana-1625	192	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	192	18	,	,	PUNCT
cana-1625	192	19	𝜚	𝜚	NOUN
cana-1625	192	20	)	)	PUNCT
cana-1625	192	21	𝔗(	𝔗(	ADJ
cana-1625	192	22	�	�	PROPN
cana-1625	192	23	̈	̈	SYM
cana-1625	192	24	�	�	PROPN
cana-1625	192	25	𝔨	𝔨	PROPN
cana-1625	192	26	,	,	PUNCT
cana-1625	192	27	�	�	PROPN
cana-1625	192	28	̈	̈	X
cana-1625	192	29	�	�	PROPN
cana-1625	192	30	𝜍̃	𝜍̃	PROPN
cana-1625	192	31	,	,	PUNCT
cana-1625	192	32	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	192	33	)	)	PUNCT
cana-1625	192	34	=	=	SYM
cana-1625	192	35	max{𝔗(𝔏𝔨	max{𝔗(𝔏𝔨	NOUN
cana-1625	192	36	,	,	PUNCT
cana-1625	192	37	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	192	38	,	,	PUNCT
cana-1625	192	39	𝜚	𝜚	NOUN
cana-1625	192	40	)	)	PUNCT
cana-1625	192	41	,	,	PUNCT
cana-1625	192	42	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	192	43	,	,	PUNCT
cana-1625	192	44	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	192	45	,	,	PUNCT
cana-1625	192	46	𝜚	𝜚	NOUN
cana-1625	192	47	)	)	PUNCT
cana-1625	192	48	,	,	PUNCT
cana-1625	192	49	𝔗(	𝔗(	ADJ
cana-1625	192	50	�	�	PROPN
cana-1625	192	51	̈	̈	NOUN
cana-1625	192	52	�	�	PROPN
cana-1625	192	53	𝜍̃	𝜍̃	PROPN
cana-1625	192	54	,	,	PUNCT
cana-1625	192	55	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	192	56	,	,	PUNCT
cana-1625	192	57	𝜚	𝜚	NOUN
cana-1625	192	58	)	)	PUNCT
cana-1625	192	59	,	,	PUNCT
cana-1625	192	60	𝔗(	𝔗(	ADJ
cana-1625	192	61	�	�	PROPN
cana-1625	192	62	̈	̈	SYM
cana-1625	192	63	�	�	PROPN
cana-1625	192	64	𝔨	𝔨	PROPN
cana-1625	192	65	,	,	PUNCT
cana-1625	192	66	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	192	67	,	,	PUNCT
cana-1625	192	68	𝜚	𝜚	NOUN
cana-1625	192	69	)	)	PUNCT
cana-1625	192	70	,	,	PUNCT
cana-1625	192	71	𝔗(	𝔗(	ADJ
cana-1625	192	72	�	�	PROPN
cana-1625	192	73	̈	̈	NOUN
cana-1625	192	74	�	�	PROPN
cana-1625	192	75	𝜍̃	𝜍̃	PROPN
cana-1625	192	76	,	,	PUNCT
cana-1625	192	77	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	192	78	,	,	PUNCT
cana-1625	192	79	𝜚	𝜚	NOUN
cana-1625	192	80	)	)	PUNCT
cana-1625	192	81	}	}	PUNCT
cana-1625	192	82	.	.	PUNCT
cana-1625	193	1	communications	communication	NOUN
cana-1625	193	2	on	on	ADP
cana-1625	193	3	applied	apply	VERB
cana-1625	193	4	nonlinear	nonlinear	ADJ
cana-1625	193	5	analysis	analysis	NOUN
cana-1625	193	6	issn	issn	NOUN
cana-1625	193	7	:	:	PUNCT
cana-1625	193	8	1074	1074	NUM
cana-1625	193	9	-	-	PUNCT
cana-1625	193	10	133x	133x	NUM
cana-1625	193	11	vol	vol	NOUN
cana-1625	193	12	32	32	NUM
cana-1625	193	13	no	no	NOUN
cana-1625	193	14	.	.	NOUN
cana-1625	193	15	1	1	NUM
cana-1625	193	16	(	(	PUNCT
cana-1625	193	17	2025	2025	NUM
cana-1625	193	18	)	)	PUNCT
cana-1625	193	19	122	122	NUM
cana-1625	193	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	194	1	hence	hence	ADV
cana-1625	194	2	,	,	PUNCT
cana-1625	194	3	the	the	DET
cana-1625	194	4	maps	map	NOUN
cana-1625	194	5	�	�	PROPN
cana-1625	194	6	̈	̈	X
cana-1625	194	7	�	�	PROPN
cana-1625	194	8	,	,	PUNCT
cana-1625	194	9	𝔅,̈	𝔅,̈	PROPN
cana-1625	194	10	𝔏	𝔏	PROPN
cana-1625	194	11	and	and	CCONJ
cana-1625	194	12	𝔚	𝔚	PROPN
cana-1625	194	13	satisfies	satisfy	VERB
cana-1625	194	14	the	the	DET
cana-1625	194	15	condition	condition	NOUN
cana-1625	194	16	(	(	PUNCT
cana-1625	194	17	3.4.1	3.4.1	NUM
cana-1625	194	18	)	)	PUNCT
cana-1625	194	19	of	of	ADP
cana-1625	194	20	theorem	theorem	NOUN
cana-1625	194	21	(	(	PUNCT
cana-1625	194	22	3.4	3.4	NUM
cana-1625	194	23	)	)	PUNCT
cana-1625	194	24	for	for	ADP
cana-1625	194	25	𝔡	𝔡	NOUN
cana-1625	194	26	=	=	SYM
cana-1625	194	27	1	1	NUM
cana-1625	194	28	3	3	NUM
cana-1625	194	29	.	.	PUNCT
cana-1625	195	1	also	also	ADV
cana-1625	195	2	,	,	PUNCT
cana-1625	195	3	the	the	DET
cana-1625	195	4	pairs	pair	NOUN
cana-1625	195	5	{	{	PUNCT
cana-1625	195	6	𝔄,̈	𝔄,̈	PROPN
cana-1625	195	7	𝔏	𝔏	PROPN
cana-1625	195	8	}	}	PUNCT
cana-1625	195	9	and	and	CCONJ
cana-1625	195	10	{	{	PUNCT
cana-1625	195	11	�	�	PROPN
cana-1625	195	12	̈	̈	X
cana-1625	195	13	�	�	PROPN
cana-1625	195	14	,	,	PUNCT
cana-1625	195	15	𝔚	𝔚	PROPN
cana-1625	195	16	}	}	PUNCT
cana-1625	195	17	are	be	AUX
cana-1625	195	18	obviously	obviously	ADV
cana-1625	195	19	owc	owc	NUM
cana-1625	195	20	.	.	PUNCT
cana-1625	196	1	thus	thus	ADV
cana-1625	196	2	all	all	DET
cana-1625	196	3	the	the	DET
cana-1625	196	4	condition	condition	NOUN
cana-1625	196	5	of	of	ADP
cana-1625	196	6	theorem	theorem	NOUN
cana-1625	196	7	(	(	PUNCT
cana-1625	196	8	3.4	3.4	NUM
cana-1625	196	9	)	)	PUNCT
cana-1625	196	10	are	be	AUX
cana-1625	196	11	satisfied	satisfied	ADJ
cana-1625	196	12	at	at	ADP
cana-1625	196	13	𝔨	𝔨	PROPN
cana-1625	196	14	=	=	SYM
cana-1625	196	15	0	0	NUM
cana-1625	196	16	is	be	AUX
cana-1625	196	17	the	the	DET
cana-1625	196	18	unique	unique	ADJ
cana-1625	196	19	common	common	ADJ
cana-1625	196	20	fixed	fix	VERB
cana-1625	196	21	point	point	NOUN
cana-1625	196	22	of	of	ADP
cana-1625	196	23	�	�	PROPN
cana-1625	196	24	̈	̈	X
cana-1625	196	25	�	�	PROPN
cana-1625	196	26	,	,	PUNCT
cana-1625	196	27	𝔅,̈	𝔅,̈	PROPN
cana-1625	196	28	𝔏	𝔏	PROPN
cana-1625	196	29	and	and	CCONJ
cana-1625	196	30	𝔚	𝔚	PROPN
cana-1625	196	31	in	in	ADP
cana-1625	196	32	ξ	ξ	PROPN
cana-1625	196	33	.	.	PUNCT
cana-1625	197	1	theorem	theorem	VERB
cana-1625	197	2	3.6	3.6	NUM
cana-1625	197	3	:	:	PUNCT
cana-1625	197	4	let	let	VERB
cana-1625	197	5	(	(	PUNCT
cana-1625	197	6	ξ	ξ	X
cana-1625	197	7	,	,	PUNCT
cana-1625	197	8	ℜ	ℜ	PROPN
cana-1625	197	9	,	,	PUNCT
cana-1625	197	10	𝔖	𝔖	PROPN
cana-1625	197	11	,	,	PUNCT
cana-1625	197	12	𝔗,∗	𝔗,∗	PROPN
cana-1625	197	13	,	,	PUNCT
cana-1625	197	14	⨀	⨀	PROPN
cana-1625	197	15	)	)	PUNCT
cana-1625	197	16	be	be	VERB
cana-1625	197	17	a	a	DET
cana-1625	197	18	nms	nms	NOUN
cana-1625	197	19	with	with	ADP
cana-1625	197	20	lim	lim	PROPN
cana-1625	197	21	𝜚→∞	𝜚→∞	X
cana-1625	197	22	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	197	23	,	,	PUNCT
cana-1625	197	24	𝜍̃	𝜍̃	PROPN
cana-1625	197	25	,	,	PUNCT
cana-1625	197	26	𝜚	𝜚	NOUN
cana-1625	197	27	)	)	PUNCT
cana-1625	197	28	=	=	SYM
cana-1625	197	29	1	1	NUM
cana-1625	197	30	,	,	PUNCT
cana-1625	197	31	lim	lim	PROPN
cana-1625	197	32	𝜚→∞	𝜚→∞	X
cana-1625	197	33	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	197	34	,	,	PUNCT
cana-1625	197	35	𝜍̃	𝜍̃	PROPN
cana-1625	197	36	,	,	PUNCT
cana-1625	197	37	𝜚	𝜚	NOUN
cana-1625	197	38	)	)	PUNCT
cana-1625	198	1	=	=	SYM
cana-1625	198	2	0and	0and	PROPN
cana-1625	198	3	lim	lim	PROPN
cana-1625	198	4	𝜚→∞	𝜚→∞	X
cana-1625	198	5	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	198	6	,	,	PUNCT
cana-1625	198	7	𝜍̃	𝜍̃	PROPN
cana-1625	198	8	,	,	PUNCT
cana-1625	198	9	𝜚	𝜚	NOUN
cana-1625	198	10	)	)	PUNCT
cana-1625	198	11	=	=	SYM
cana-1625	198	12	0	0	NUM
cana-1625	198	13	,	,	PUNCT
cana-1625	198	14	for	for	ADP
cana-1625	198	15	all	all	DET
cana-1625	198	16	𝔨	𝔨	PROPN
cana-1625	198	17	,	,	PUNCT
cana-1625	198	18	𝜍̃	𝜍̃	PROPN
cana-1625	198	19	∈	∈	PROPN
cana-1625	198	20	ξ	ξ	PROPN
cana-1625	198	21	and	and	CCONJ
cana-1625	198	22	𝔄,̈	𝔄,̈	PROPN
cana-1625	198	23	�	�	PROPN
cana-1625	198	24	̈	̈	X
cana-1625	198	25	�	�	PROPN
cana-1625	198	26	,	,	PUNCT
cana-1625	198	27	𝔏	𝔏	PROPN
cana-1625	198	28	and	and	CCONJ
cana-1625	198	29	𝔚	𝔚	PROPN
cana-1625	198	30	be	be	VERB
cana-1625	198	31	self	self	NOUN
cana-1625	198	32	mappings	mapping	NOUN
cana-1625	198	33	on	on	ADP
cana-1625	198	34	ξ	ξ	NOUN
cana-1625	198	35	.	.	PUNCT
cana-1625	199	1	let	let	VERB
cana-1625	199	2	the	the	DET
cana-1625	199	3	pairs	pair	NOUN
cana-1625	199	4	{	{	PUNCT
cana-1625	199	5	𝔄,̈	𝔄,̈	PROPN
cana-1625	199	6	𝔏	𝔏	PROPN
cana-1625	199	7	}	}	PUNCT
cana-1625	199	8	and	and	CCONJ
cana-1625	199	9	{	{	PUNCT
cana-1625	199	10	�	�	PROPN
cana-1625	199	11	̈	̈	X
cana-1625	199	12	�	�	PROPN
cana-1625	199	13	,	,	PUNCT
cana-1625	199	14	𝔚	𝔚	PROPN
cana-1625	199	15	}	}	PUNCT
cana-1625	199	16	be	be	AUX
cana-1625	199	17	owc	owc	NOUN
cana-1625	199	18	.	.	PUNCT
cana-1625	200	1	if	if	SCONJ
cana-1625	200	2	there	there	PRON
cana-1625	200	3	exists	exist	VERB
cana-1625	200	4	𝔡	𝔡	X
cana-1625	200	5	∈	∈	PROPN
cana-1625	200	6	(	(	PUNCT
cana-1625	200	7	0	0	NUM
cana-1625	200	8	,	,	PUNCT
cana-1625	200	9	1	1	NUM
cana-1625	200	10	)	)	PUNCT
cana-1625	200	11	such	such	ADJ
cana-1625	200	12	that	that	PRON
cana-1625	200	13	ℜ(	ℜ(	ADJ
cana-1625	200	14	�	�	PROPN
cana-1625	200	15	̈	̈	NOUN
cana-1625	200	16	�	�	PROPN
cana-1625	200	17	𝔨	𝔨	PROPN
cana-1625	200	18	,	,	PUNCT
cana-1625	200	19	�	�	PROPN
cana-1625	200	20	̈	̈	X
cana-1625	200	21	�	�	PROPN
cana-1625	200	22	𝜍̃	𝜍̃	PROPN
cana-1625	200	23	,	,	PUNCT
cana-1625	200	24	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	200	25	)	)	PUNCT
cana-1625	200	26	≥	≥	NOUN
cana-1625	200	27	ℏ(𝑚𝑖𝑛{ℜ(𝔏𝔨	ℏ(𝑚𝑖𝑛{ℜ(𝔏𝔨	NOUN
cana-1625	200	28	,	,	PUNCT
cana-1625	200	29	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	200	30	,	,	PUNCT
cana-1625	200	31	𝜚	𝜚	NOUN
cana-1625	200	32	)	)	PUNCT
cana-1625	200	33	,	,	PUNCT
cana-1625	200	34	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	200	35	,	,	PUNCT
cana-1625	200	36	�	�	PROPN
cana-1625	200	37	̈	̈	X
cana-1625	200	38	�	�	PROPN
cana-1625	200	39	𝔨	𝔨	PROPN
cana-1625	200	40	,	,	PUNCT
cana-1625	200	41	𝜚	𝜚	NOUN
cana-1625	200	42	)	)	PUNCT
cana-1625	200	43	,	,	PUNCT
cana-1625	200	44	ℜ(	ℜ(	X
cana-1625	200	45	�	�	PROPN
cana-1625	200	46	̈	̈	NOUN
cana-1625	200	47	�	�	PROPN
cana-1625	200	48	𝜍̃	𝜍̃	PROPN
cana-1625	200	49	,	,	PUNCT
cana-1625	200	50	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	200	51	,	,	PUNCT
cana-1625	200	52	𝜚	𝜚	NOUN
cana-1625	200	53	)	)	PUNCT
cana-1625	200	54	,	,	PUNCT
cana-1625	200	55	ℜ(	ℜ(	X
cana-1625	200	56	�	�	PROPN
cana-1625	200	57	̈	̈	X
cana-1625	200	58	�	�	PROPN
cana-1625	200	59	𝔨	𝔨	PROPN
cana-1625	200	60	,	,	PUNCT
cana-1625	200	61	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	200	62	,	,	PUNCT
cana-1625	200	63	𝜚	𝜚	NOUN
cana-1625	200	64	)	)	PUNCT
cana-1625	200	65	,	,	PUNCT
cana-1625	200	66	ℜ(	ℜ(	X
cana-1625	200	67	�	�	PROPN
cana-1625	200	68	̈	̈	NUM
cana-1625	200	69	�	�	PROPN
cana-1625	200	70	𝜍̃	𝜍̃	PROPN
cana-1625	200	71	,	,	PUNCT
cana-1625	200	72	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	200	73	,	,	PUNCT
cana-1625	200	74	𝜚	𝜚	NOUN
cana-1625	200	75	)	)	PUNCT
cana-1625	200	76	}	}	PUNCT
cana-1625	200	77	)	)	PUNCT
cana-1625	200	78	𝔖(	𝔖(	PROPN
cana-1625	200	79	�	�	PROPN
cana-1625	200	80	̈	̈	X
cana-1625	200	81	�	�	PROPN
cana-1625	200	82	𝔨	𝔨	PROPN
cana-1625	200	83	,	,	PUNCT
cana-1625	200	84	�	�	PROPN
cana-1625	200	85	̈	̈	X
cana-1625	200	86	�	�	PROPN
cana-1625	200	87	𝜍̃	𝜍̃	PROPN
cana-1625	200	88	,	,	PUNCT
cana-1625	200	89	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	200	90	)	)	PUNCT
cana-1625	200	91	≤	≤	NOUN
cana-1625	201	1	ℏ(𝑚𝑎𝑥{ℜ(𝔏𝔨	ℏ(𝑚𝑎𝑥{ℜ(𝔏𝔨	NOUN
cana-1625	201	2	,	,	PUNCT
cana-1625	201	3	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	201	4	,	,	PUNCT
cana-1625	201	5	𝜚	𝜚	NOUN
cana-1625	201	6	)	)	PUNCT
cana-1625	201	7	,	,	PUNCT
cana-1625	201	8	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	201	9	,	,	PUNCT
cana-1625	201	10	�	�	PROPN
cana-1625	201	11	̈	̈	X
cana-1625	201	12	�	�	PROPN
cana-1625	201	13	𝔨	𝔨	PROPN
cana-1625	201	14	,	,	PUNCT
cana-1625	201	15	𝜚	𝜚	NOUN
cana-1625	201	16	)	)	PUNCT
cana-1625	201	17	,	,	PUNCT
cana-1625	201	18	ℜ(	ℜ(	X
cana-1625	201	19	�	�	PROPN
cana-1625	201	20	̈	̈	NOUN
cana-1625	201	21	�	�	PROPN
cana-1625	201	22	𝜍̃	𝜍̃	PROPN
cana-1625	201	23	,	,	PUNCT
cana-1625	201	24	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	201	25	,	,	PUNCT
cana-1625	201	26	𝜚	𝜚	NOUN
cana-1625	201	27	)	)	PUNCT
cana-1625	201	28	,	,	PUNCT
cana-1625	201	29	ℜ(	ℜ(	X
cana-1625	201	30	�	�	PROPN
cana-1625	201	31	̈	̈	X
cana-1625	201	32	�	�	PROPN
cana-1625	201	33	𝔨	𝔨	PROPN
cana-1625	201	34	,	,	PUNCT
cana-1625	201	35	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	201	36	,	,	PUNCT
cana-1625	201	37	𝜚	𝜚	NOUN
cana-1625	201	38	)	)	PUNCT
cana-1625	201	39	,	,	PUNCT
cana-1625	201	40	ℜ(	ℜ(	X
cana-1625	201	41	�	�	PROPN
cana-1625	201	42	̈	̈	NUM
cana-1625	201	43	�	�	PROPN
cana-1625	201	44	𝜍̃	𝜍̃	PROPN
cana-1625	201	45	,	,	PUNCT
cana-1625	201	46	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	201	47	,	,	PUNCT
cana-1625	201	48	𝜚	𝜚	NOUN
cana-1625	201	49	)	)	PUNCT
cana-1625	201	50	}	}	PUNCT
cana-1625	201	51	and	and	CCONJ
cana-1625	201	52	𝔗(	𝔗(	ADJ
cana-1625	201	53	�	�	PROPN
cana-1625	201	54	̈	̈	X
cana-1625	201	55	�	�	PROPN
cana-1625	201	56	𝔨	𝔨	PROPN
cana-1625	201	57	,	,	PUNCT
cana-1625	201	58	�	�	PROPN
cana-1625	201	59	̈	̈	X
cana-1625	201	60	�	�	PROPN
cana-1625	201	61	𝜍̃	𝜍̃	PROPN
cana-1625	201	62	,	,	PUNCT
cana-1625	201	63	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	201	64	)	)	PUNCT
cana-1625	201	65	≤	≤	NOUN
cana-1625	202	1	ℏ(𝑚𝑎𝑥{ℜ(𝔏𝔨	ℏ(𝑚𝑎𝑥{ℜ(𝔏𝔨	NOUN
cana-1625	202	2	,	,	PUNCT
cana-1625	202	3	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	202	4	,	,	PUNCT
cana-1625	202	5	𝜚	𝜚	NOUN
cana-1625	202	6	)	)	PUNCT
cana-1625	202	7	,	,	PUNCT
cana-1625	202	8	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	202	9	,	,	PUNCT
cana-1625	202	10	�	�	PROPN
cana-1625	202	11	̈	̈	X
cana-1625	202	12	�	�	PROPN
cana-1625	202	13	𝔨	𝔨	PROPN
cana-1625	202	14	,	,	PUNCT
cana-1625	202	15	𝜚	𝜚	NOUN
cana-1625	202	16	)	)	PUNCT
cana-1625	202	17	,	,	PUNCT
cana-1625	202	18	ℜ(	ℜ(	X
cana-1625	202	19	�	�	PROPN
cana-1625	202	20	̈	̈	NOUN
cana-1625	202	21	�	�	PROPN
cana-1625	202	22	𝜍̃	𝜍̃	PROPN
cana-1625	202	23	,	,	PUNCT
cana-1625	202	24	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	202	25	,	,	PUNCT
cana-1625	202	26	𝜚	𝜚	NOUN
cana-1625	202	27	)	)	PUNCT
cana-1625	202	28	,	,	PUNCT
cana-1625	202	29	ℜ(	ℜ(	X
cana-1625	202	30	�	�	PROPN
cana-1625	202	31	̈	̈	X
cana-1625	202	32	�	�	PROPN
cana-1625	202	33	𝔨	𝔨	PROPN
cana-1625	202	34	,	,	PUNCT
cana-1625	202	35	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	202	36	,	,	PUNCT
cana-1625	202	37	𝜚	𝜚	NOUN
cana-1625	202	38	)	)	PUNCT
cana-1625	202	39	,	,	PUNCT
cana-1625	202	40	ℜ(	ℜ(	X
cana-1625	202	41	�	�	PROPN
cana-1625	202	42	̈	̈	NUM
cana-1625	202	43	�	�	PROPN
cana-1625	202	44	𝜍̃	𝜍̃	PROPN
cana-1625	202	45	,	,	PUNCT
cana-1625	202	46	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	202	47	,	,	PUNCT
cana-1625	202	48	𝜚	𝜚	NOUN
cana-1625	202	49	)	)	PUNCT
cana-1625	202	50	}	}	PUNCT
cana-1625	202	51	for	for	ADP
cana-1625	202	52	all	all	DET
cana-1625	202	53	𝔨	𝔨	PROPN
cana-1625	202	54	,	,	PUNCT
cana-1625	202	55	𝜍̃	𝜍̃	PROPN
cana-1625	202	56	∈	∈	PROPN
cana-1625	202	57	ξ	ξ	PROPN
cana-1625	202	58	and	and	CCONJ
cana-1625	202	59	𝜚	𝜚	X
cana-1625	202	60	>	>	X
cana-1625	202	61	0	0	PROPN
cana-1625	202	62	,	,	PUNCT
cana-1625	203	1	where	where	SCONJ
cana-1625	203	2	ℏ	ℏ	PROPN
cana-1625	203	3	∶	∶	NOUN
cana-1625	203	4	[	[	X
cana-1625	203	5	0,1	0,1	NUM
cana-1625	203	6	]	]	PUNCT
cana-1625	203	7	→	→	PUNCT
cana-1625	203	8	[	[	X
cana-1625	203	9	0,1	0,1	NUM
cana-1625	203	10	]	]	PUNCT
cana-1625	203	11	with	with	ADP
cana-1625	203	12	ℏ(𝔨	ℏ(𝔨	PROPN
cana-1625	203	13	)	)	PUNCT
cana-1625	203	14	>	>	X
cana-1625	203	15	𝑘	𝑘	X
cana-1625	203	16	for	for	ADP
cana-1625	203	17	all	all	DET
cana-1625	203	18	𝔨	𝔨	PROPN
cana-1625	203	19	∈	∈	PROPN
cana-1625	204	1	[	[	X
cana-1625	204	2	0,1	0,1	NUM
cana-1625	204	3	]	]	PUNCT
cana-1625	204	4	.	.	PUNCT
cana-1625	205	1	then	then	ADV
cana-1625	205	2	𝔄,̈	𝔄,̈	PROPN
cana-1625	205	3	�	�	PROPN
cana-1625	205	4	̈	̈	X
cana-1625	205	5	�	�	PROPN
cana-1625	205	6	,	,	PUNCT
cana-1625	205	7	𝔏	𝔏	PROPN
cana-1625	205	8	and	and	CCONJ
cana-1625	205	9	𝔚	𝔚	PROPN
cana-1625	205	10	have	have	VERB
cana-1625	205	11	a	a	DET
cana-1625	205	12	unique	unique	ADJ
cana-1625	205	13	common	common	ADJ
cana-1625	205	14	fixed	fix	VERB
cana-1625	205	15	point	point	NOUN
cana-1625	205	16	in	in	ADP
cana-1625	205	17	ξ	ξ	PROPN
cana-1625	205	18	.	.	PUNCT
cana-1625	206	1	proof	proof	NOUN
cana-1625	206	2	:	:	PUNCT
cana-1625	206	3	the	the	DET
cana-1625	206	4	proof	proof	NOUN
cana-1625	206	5	follows	follow	VERB
cana-1625	206	6	from	from	ADP
cana-1625	206	7	theorem	theorem	NOUN
cana-1625	206	8	(	(	PUNCT
cana-1625	206	9	3.4	3.4	NUM
cana-1625	206	10	)	)	PUNCT
cana-1625	206	11	.	.	PUNCT
cana-1625	207	1	theorem	theorem	VERB
cana-1625	207	2	3.7	3.7	NUM
cana-1625	207	3	.	.	PUNCT
cana-1625	208	1	let	let	VERB
cana-1625	208	2	(	(	PUNCT
cana-1625	208	3	ξ	ξ	X
cana-1625	208	4	,	,	PUNCT
cana-1625	208	5	ℜ	ℜ	PROPN
cana-1625	208	6	,	,	PUNCT
cana-1625	208	7	𝔖	𝔖	PROPN
cana-1625	208	8	,	,	PUNCT
cana-1625	208	9	𝔗,∗	𝔗,∗	PROPN
cana-1625	208	10	,	,	PUNCT
cana-1625	208	11	⨀	⨀	PROPN
cana-1625	208	12	)	)	PUNCT
cana-1625	208	13	be	be	VERB
cana-1625	208	14	a	a	DET
cana-1625	208	15	nms	nms	NOUN
cana-1625	208	16	with	with	ADP
cana-1625	208	17	lim	lim	PROPN
cana-1625	208	18	𝜚→∞	𝜚→∞	X
cana-1625	208	19	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	208	20	,	,	PUNCT
cana-1625	208	21	𝜍̃	𝜍̃	PROPN
cana-1625	208	22	,	,	PUNCT
cana-1625	208	23	𝜚	𝜚	NOUN
cana-1625	208	24	)	)	PUNCT
cana-1625	208	25	=	=	SYM
cana-1625	208	26	1	1	NUM
cana-1625	208	27	,	,	PUNCT
cana-1625	208	28	lim	lim	PROPN
cana-1625	208	29	𝜚→∞	𝜚→∞	X
cana-1625	208	30	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	208	31	,	,	PUNCT
cana-1625	208	32	𝜍̃	𝜍̃	PROPN
cana-1625	208	33	,	,	PUNCT
cana-1625	208	34	𝜚	𝜚	NOUN
cana-1625	208	35	)	)	PUNCT
cana-1625	209	1	=	=	SYM
cana-1625	209	2	0	0	PUNCT
cana-1625	209	3	and	and	CCONJ
cana-1625	209	4	lim	lim	PROPN
cana-1625	209	5	𝜚→∞	𝜚→∞	X
cana-1625	209	6	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	209	7	,	,	PUNCT
cana-1625	209	8	𝜍̃	𝜍̃	PROPN
cana-1625	209	9	,	,	PUNCT
cana-1625	209	10	𝜚	𝜚	NOUN
cana-1625	209	11	)	)	PUNCT
cana-1625	209	12	=	=	SYM
cana-1625	209	13	0	0	NUM
cana-1625	209	14	,	,	PUNCT
cana-1625	209	15	for	for	ADP
cana-1625	209	16	all	all	DET
cana-1625	209	17	𝔨	𝔨	PROPN
cana-1625	209	18	,	,	PUNCT
cana-1625	209	19	𝜍̃	𝜍̃	PROPN
cana-1625	209	20	∈	∈	PROPN
cana-1625	209	21	ξ	ξ	PROPN
cana-1625	209	22	and	and	CCONJ
cana-1625	209	23	𝔄,̈	𝔄,̈	PROPN
cana-1625	209	24	�	�	PROPN
cana-1625	209	25	̈	̈	X
cana-1625	209	26	�	�	PROPN
cana-1625	209	27	,	,	PUNCT
cana-1625	209	28	𝔏	𝔏	PROPN
cana-1625	209	29	and	and	CCONJ
cana-1625	209	30	𝔚	𝔚	PROPN
cana-1625	209	31	be	be	VERB
cana-1625	209	32	self	self	NOUN
cana-1625	209	33	mappings	mapping	NOUN
cana-1625	209	34	on	on	ADP
cana-1625	209	35	ξ	ξ	NOUN
cana-1625	209	36	.	.	PUNCT
cana-1625	210	1	let	let	VERB
cana-1625	210	2	the	the	DET
cana-1625	210	3	pairs	pair	NOUN
cana-1625	210	4	{	{	PUNCT
cana-1625	210	5	𝔄,̈	𝔄,̈	PROPN
cana-1625	210	6	𝔏	𝔏	PROPN
cana-1625	210	7	}	}	PUNCT
cana-1625	210	8	and	and	CCONJ
cana-1625	210	9	{	{	PUNCT
cana-1625	210	10	�	�	PROPN
cana-1625	210	11	̈	̈	X
cana-1625	210	12	�	�	PROPN
cana-1625	210	13	,	,	PUNCT
cana-1625	210	14	𝔚	𝔚	PROPN
cana-1625	210	15	}	}	PUNCT
cana-1625	210	16	be	be	AUX
cana-1625	210	17	owc	owc	NOUN
cana-1625	210	18	.	.	PUNCT
cana-1625	211	1	if	if	SCONJ
cana-1625	211	2	there	there	PRON
cana-1625	211	3	exists	exist	VERB
cana-1625	211	4	𝔡	𝔡	X
cana-1625	211	5	∈	∈	PROPN
cana-1625	211	6	(	(	PUNCT
cana-1625	211	7	0	0	NUM
cana-1625	211	8	,	,	PUNCT
cana-1625	211	9	1	1	NUM
cana-1625	211	10	)	)	PUNCT
cana-1625	211	11	such	such	ADJ
cana-1625	211	12	that	that	DET
cana-1625	211	13	ℜ(	ℜ(	ADJ
cana-1625	211	14	�	�	PROPN
cana-1625	211	15	̈	̈	NOUN
cana-1625	211	16	�	�	PROPN
cana-1625	211	17	𝔨	𝔨	PROPN
cana-1625	211	18	,	,	PUNCT
cana-1625	211	19	�	�	PROPN
cana-1625	211	20	̈	̈	X
cana-1625	211	21	�	�	PROPN
cana-1625	211	22	𝜍̃	𝜍̃	PROPN
cana-1625	211	23	,	,	PUNCT
cana-1625	211	24	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	211	25	)	)	PUNCT
cana-1625	211	26	≥	≥	NOUN
cana-1625	211	27	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	211	28	,	,	PUNCT
cana-1625	211	29	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	30	,	,	PUNCT
cana-1625	211	31	𝜚	𝜚	NOUN
cana-1625	211	32	)	)	PUNCT
cana-1625	211	33	∗	∗	NOUN
cana-1625	211	34	ℜ(	ℜ(	X
cana-1625	211	35	�	�	PROPN
cana-1625	211	36	̈	̈	NOUN
cana-1625	211	37	�	�	PROPN
cana-1625	211	38	𝔨	𝔨	PROPN
cana-1625	211	39	,	,	PUNCT
cana-1625	211	40	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	211	41	,	,	PUNCT
cana-1625	211	42	𝜚	𝜚	NOUN
cana-1625	211	43	)	)	PUNCT
cana-1625	211	44	∗	∗	NOUN
cana-1625	211	45	ℜ(	ℜ(	X
cana-1625	211	46	�	�	PROPN
cana-1625	211	47	̈	̈	NOUN
cana-1625	211	48	�	�	PROPN
cana-1625	211	49	𝜍̃	𝜍̃	PROPN
cana-1625	211	50	,	,	PUNCT
cana-1625	211	51	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	52	,	,	PUNCT
cana-1625	211	53	𝜚	𝜚	NOUN
cana-1625	211	54	)	)	PUNCT
cana-1625	211	55	∗	∗	NOUN
cana-1625	211	56	ℜ(	ℜ(	X
cana-1625	211	57	�	�	PROPN
cana-1625	211	58	̈	̈	X
cana-1625	211	59	�	�	PROPN
cana-1625	211	60	𝔨	𝔨	PROPN
cana-1625	211	61	,	,	PUNCT
cana-1625	211	62	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	63	,	,	PUNCT
cana-1625	211	64	𝜚	𝜚	NOUN
cana-1625	211	65	)	)	PUNCT
cana-1625	211	66	(	(	PUNCT
cana-1625	211	67	3.7.1	3.7.1	X
cana-1625	211	68	)	)	PUNCT
cana-1625	211	69	𝔖(	𝔖(	NOUN
cana-1625	211	70	�	�	PROPN
cana-1625	211	71	̈	̈	X
cana-1625	211	72	�	�	PROPN
cana-1625	211	73	𝔨	𝔨	PROPN
cana-1625	211	74	,	,	PUNCT
cana-1625	211	75	�	�	PROPN
cana-1625	211	76	̈	̈	X
cana-1625	211	77	�	�	PROPN
cana-1625	211	78	𝜍̃	𝜍̃	PROPN
cana-1625	211	79	,	,	PUNCT
cana-1625	211	80	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	211	81	)	)	PUNCT
cana-1625	211	82	≤	≤	NOUN
cana-1625	211	83	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	211	84	,	,	PUNCT
cana-1625	211	85	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	86	,	,	PUNCT
cana-1625	211	87	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	211	88	�	�	PROPN
cana-1625	211	89	̈	̈	SYM
cana-1625	211	90	�	�	PROPN
cana-1625	211	91	𝔨	𝔨	PROPN
cana-1625	211	92	,	,	PUNCT
cana-1625	211	93	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	211	94	,	,	PUNCT
cana-1625	211	95	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	211	96	�	�	PROPN
cana-1625	211	97	̈	̈	SYM
cana-1625	211	98	�	�	PROPN
cana-1625	211	99	𝜍̃	𝜍̃	PROPN
cana-1625	211	100	,	,	PUNCT
cana-1625	211	101	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	102	,	,	PUNCT
cana-1625	211	103	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	211	104	�	�	PROPN
cana-1625	211	105	̈	̈	X
cana-1625	211	106	�	�	PROPN
cana-1625	211	107	𝔨	𝔨	PROPN
cana-1625	211	108	,	,	PUNCT
cana-1625	211	109	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	110	,	,	PUNCT
cana-1625	211	111	𝜚	𝜚	NOUN
cana-1625	211	112	)	)	PUNCT
cana-1625	211	113	(	(	PUNCT
cana-1625	211	114	3.7.2	3.7.2	NUM
cana-1625	211	115	)	)	PUNCT
cana-1625	211	116	𝔗(	𝔗(	ADJ
cana-1625	211	117	�	�	PROPN
cana-1625	211	118	̈	̈	SYM
cana-1625	211	119	�	�	PROPN
cana-1625	211	120	𝔨	𝔨	PROPN
cana-1625	211	121	,	,	PUNCT
cana-1625	211	122	�	�	PROPN
cana-1625	211	123	̈	̈	X
cana-1625	211	124	�	�	PROPN
cana-1625	211	125	𝜍̃	𝜍̃	PROPN
cana-1625	211	126	,	,	PUNCT
cana-1625	211	127	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	211	128	)	)	PUNCT
cana-1625	211	129	≤	≤	NOUN
cana-1625	211	130	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	211	131	,	,	PUNCT
cana-1625	211	132	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	133	,	,	PUNCT
cana-1625	211	134	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	211	135	�	�	PROPN
cana-1625	211	136	̈	̈	X
cana-1625	211	137	�	�	PROPN
cana-1625	211	138	𝔨	𝔨	PROPN
cana-1625	211	139	,	,	PUNCT
cana-1625	211	140	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	211	141	,	,	PUNCT
cana-1625	211	142	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	211	143	�	�	PROPN
cana-1625	211	144	̈	̈	SYM
cana-1625	211	145	�	�	PROPN
cana-1625	211	146	𝜍̃	𝜍̃	PROPN
cana-1625	211	147	,	,	PUNCT
cana-1625	211	148	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	149	,	,	PUNCT
cana-1625	211	150	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	211	151	�	�	PROPN
cana-1625	211	152	̈	̈	X
cana-1625	211	153	�	�	PROPN
cana-1625	211	154	𝔨	𝔨	PROPN
cana-1625	211	155	,	,	PUNCT
cana-1625	211	156	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	211	157	,	,	PUNCT
cana-1625	211	158	𝜚	𝜚	NOUN
cana-1625	211	159	)	)	PUNCT
cana-1625	211	160	(	(	PUNCT
cana-1625	211	161	3.7.3	3.7.3	NUM
cana-1625	211	162	)	)	PUNCT
cana-1625	211	163	for	for	ADP
cana-1625	211	164	all	all	DET
cana-1625	211	165	𝔨	𝔨	PROPN
cana-1625	211	166	,	,	PUNCT
cana-1625	211	167	𝜍̃	𝜍̃	PROPN
cana-1625	211	168	∈	∈	PROPN
cana-1625	211	169	ξ	ξ	PROPN
cana-1625	211	170	and	and	CCONJ
cana-1625	211	171	𝜚	𝜚	X
cana-1625	211	172	>	>	X
cana-1625	211	173	0	0	X
cana-1625	211	174	.	.	PUNCT
cana-1625	212	1	then	then	ADV
cana-1625	212	2	𝔄,̈	𝔄,̈	PROPN
cana-1625	212	3	�	�	PROPN
cana-1625	212	4	̈	̈	X
cana-1625	212	5	�	�	PROPN
cana-1625	212	6	,	,	PUNCT
cana-1625	212	7	𝔏	𝔏	PROPN
cana-1625	212	8	and	and	CCONJ
cana-1625	212	9	𝔚	𝔚	PROPN
cana-1625	212	10	have	have	VERB
cana-1625	212	11	a	a	DET
cana-1625	212	12	unique	unique	ADJ
cana-1625	212	13	common	common	ADJ
cana-1625	212	14	fixed	fix	VERB
cana-1625	212	15	point	point	NOUN
cana-1625	212	16	in	in	ADP
cana-1625	212	17	ξ	ξ	PROPN
cana-1625	212	18	.	.	PUNCT
cana-1625	213	1	proof	proof	NOUN
cana-1625	213	2	:	:	PUNCT
cana-1625	213	3	the	the	DET
cana-1625	213	4	pairs	pair	NOUN
cana-1625	213	5	{	{	PUNCT
cana-1625	213	6	𝔄,̈	𝔄,̈	PROPN
cana-1625	213	7	𝔏	𝔏	PROPN
cana-1625	213	8	}	}	PUNCT
cana-1625	213	9	and	and	CCONJ
cana-1625	213	10	{	{	PUNCT
cana-1625	213	11	�	�	PROPN
cana-1625	213	12	̈	̈	X
cana-1625	213	13	�	�	PROPN
cana-1625	213	14	,	,	PUNCT
cana-1625	213	15	𝔚	𝔚	PROPN
cana-1625	213	16	}	}	PUNCT
cana-1625	213	17	be	be	AUX
cana-1625	213	18	owc	owc	NUM
cana-1625	213	19	,	,	PUNCT
cana-1625	213	20	so	so	SCONJ
cana-1625	213	21	there	there	PRON
cana-1625	213	22	are	be	VERB
cana-1625	213	23	point	point	NOUN
cana-1625	213	24	𝔨	𝔨	PROPN
cana-1625	213	25	,	,	PUNCT
cana-1625	213	26	𝜍̃	𝜍̃	PROPN
cana-1625	213	27	∈	∈	PROPN
cana-1625	213	28	ξ	ξ	ADP
cana-1625	213	29	such	such	ADJ
cana-1625	213	30	that	that	DET
cana-1625	213	31	�	�	PROPN
cana-1625	213	32	̈	̈	X
cana-1625	213	33	�	�	NOUN
cana-1625	213	34	(𝔨	(𝔨	NOUN
cana-1625	213	35	)	)	PUNCT
cana-1625	213	36	=	=	SYM
cana-1625	214	1	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	214	2	)	)	PUNCT
cana-1625	214	3	and	and	CCONJ
cana-1625	214	4	�	�	PROPN
cana-1625	214	5	̈	̈	SYM
cana-1625	214	6	�	�	NOUN
cana-1625	214	7	(𝜍̃	(𝜍̃	SYM
cana-1625	214	8	)	)	PUNCT
cana-1625	214	9	=	=	SYM
cana-1625	214	10	𝔚(𝜍̃	𝔚(𝜍̃	NOUN
cana-1625	214	11	)	)	PUNCT
cana-1625	214	12	.	.	PUNCT
cana-1625	215	1	now	now	ADV
cana-1625	215	2	,	,	PUNCT
cana-1625	215	3	by	by	ADP
cana-1625	215	4	the	the	DET
cana-1625	215	5	given	give	VERB
cana-1625	215	6	conditions	condition	NOUN
cana-1625	215	7	(	(	PUNCT
cana-1625	215	8	3.7.1	3.7.1	NUM
cana-1625	215	9	)	)	PUNCT
cana-1625	215	10	,	,	PUNCT
cana-1625	215	11	(	(	PUNCT
cana-1625	215	12	3.7.2	3.7.2	NUM
cana-1625	215	13	)	)	PUNCT
cana-1625	215	14	and	and	CCONJ
cana-1625	215	15	(	(	PUNCT
cana-1625	215	16	3.7.3	3.7.3	NUM
cana-1625	215	17	)	)	PUNCT
cana-1625	215	18	,	,	PUNCT
cana-1625	215	19	we	we	PRON
cana-1625	215	20	get	get	VERB
cana-1625	215	21	ℜ(	ℜ(	ADJ
cana-1625	215	22	�	�	PROPN
cana-1625	215	23	̈	̈	X
cana-1625	215	24	�	�	PROPN
cana-1625	215	25	𝔨	𝔨	PROPN
cana-1625	215	26	,	,	PUNCT
cana-1625	215	27	�	�	PROPN
cana-1625	215	28	̈	̈	X
cana-1625	215	29	�	�	PROPN
cana-1625	215	30	𝜍̃	𝜍̃	PROPN
cana-1625	215	31	,	,	PUNCT
cana-1625	215	32	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	215	33	)	)	PUNCT
cana-1625	215	34	≥	≥	NOUN
cana-1625	215	35	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	215	36	,	,	PUNCT
cana-1625	215	37	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	215	38	,	,	PUNCT
cana-1625	215	39	𝜚	𝜚	NOUN
cana-1625	215	40	)	)	PUNCT
cana-1625	215	41	∗	∗	NOUN
cana-1625	215	42	ℜ(	ℜ(	X
cana-1625	215	43	�	�	PROPN
cana-1625	215	44	̈	̈	NOUN
cana-1625	215	45	�	�	PROPN
cana-1625	215	46	𝔨	𝔨	PROPN
cana-1625	215	47	,	,	PUNCT
cana-1625	215	48	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	215	49	,	,	PUNCT
cana-1625	215	50	𝜚	𝜚	NOUN
cana-1625	215	51	)	)	PUNCT
cana-1625	215	52	∗	∗	NOUN
cana-1625	215	53	ℜ(	ℜ(	X
cana-1625	215	54	�	�	PROPN
cana-1625	215	55	̈	̈	NOUN
cana-1625	215	56	�	�	PROPN
cana-1625	215	57	𝜍̃	𝜍̃	PROPN
cana-1625	215	58	,	,	PUNCT
cana-1625	215	59	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	215	60	,	,	PUNCT
cana-1625	215	61	𝜚	𝜚	NOUN
cana-1625	215	62	)	)	PUNCT
cana-1625	215	63	∗	∗	NOUN
cana-1625	215	64	ℜ(	ℜ(	X
cana-1625	215	65	�	�	PROPN
cana-1625	215	66	̈	̈	X
cana-1625	215	67	�	�	PROPN
cana-1625	215	68	𝔨	𝔨	PROPN
cana-1625	215	69	,	,	PUNCT
cana-1625	215	70	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	215	71	,	,	PUNCT
cana-1625	215	72	𝜚	𝜚	NOUN
cana-1625	215	73	)	)	PUNCT
cana-1625	216	1	=	=	SYM
cana-1625	216	2	ℜ(	ℜ(	X
cana-1625	216	3	�	�	PROPN
cana-1625	216	4	̈	̈	X
cana-1625	216	5	�	�	PROPN
cana-1625	216	6	𝔨	𝔨	PROPN
cana-1625	216	7	,	,	PUNCT
cana-1625	216	8	�	�	PROPN
cana-1625	216	9	̈	̈	X
cana-1625	216	10	�	�	PROPN
cana-1625	216	11	𝜍̃	𝜍̃	PROPN
cana-1625	216	12	,	,	PUNCT
cana-1625	216	13	𝜚	𝜚	NOUN
cana-1625	216	14	)	)	PUNCT
cana-1625	216	15	∗	∗	NOUN
cana-1625	216	16	ℜ(	ℜ(	X
cana-1625	216	17	�	�	PROPN
cana-1625	216	18	̈	̈	X
cana-1625	216	19	�	�	PROPN
cana-1625	216	20	𝔨	𝔨	PROPN
cana-1625	216	21	,	,	PUNCT
cana-1625	216	22	�	�	PROPN
cana-1625	216	23	̈	̈	X
cana-1625	216	24	�	�	PROPN
cana-1625	216	25	𝔨	𝔨	PROPN
cana-1625	216	26	,	,	PUNCT
cana-1625	216	27	𝜚	𝜚	NOUN
cana-1625	216	28	)	)	PUNCT
cana-1625	216	29	∗	∗	NOUN
cana-1625	216	30	ℜ(	ℜ(	X
cana-1625	216	31	�	�	PROPN
cana-1625	216	32	̈	̈	X
cana-1625	216	33	�	�	PROPN
cana-1625	216	34	𝔨	𝔨	PROPN
cana-1625	216	35	,	,	PUNCT
cana-1625	216	36	�	�	PROPN
cana-1625	216	37	̈	̈	X
cana-1625	216	38	�	�	PROPN
cana-1625	216	39	𝔨	𝔨	PROPN
cana-1625	216	40	,	,	PUNCT
cana-1625	216	41	𝜚	𝜚	NOUN
cana-1625	216	42	)	)	PUNCT
cana-1625	216	43	∗	∗	NOUN
cana-1625	216	44	ℜ(	ℜ(	X
cana-1625	216	45	�	�	PROPN
cana-1625	216	46	̈	̈	X
cana-1625	216	47	�	�	PROPN
cana-1625	216	48	𝔨	𝔨	PROPN
cana-1625	216	49	,	,	PUNCT
cana-1625	216	50	�	�	PROPN
cana-1625	216	51	̈	̈	X
cana-1625	216	52	�	�	PROPN
cana-1625	216	53	𝜍̃	𝜍̃	PROPN
cana-1625	216	54	,	,	PUNCT
cana-1625	216	55	𝜚	𝜚	NOUN
cana-1625	216	56	)	)	PUNCT
cana-1625	216	57	=	=	SYM
cana-1625	216	58	ℜ(	ℜ(	X
cana-1625	216	59	�	�	PROPN
cana-1625	216	60	̈	̈	X
cana-1625	216	61	�	�	PROPN
cana-1625	216	62	𝔨	𝔨	PROPN
cana-1625	216	63	,	,	PUNCT
cana-1625	216	64	�	�	PROPN
cana-1625	216	65	̈	̈	X
cana-1625	216	66	�	�	PROPN
cana-1625	216	67	𝜍̃	𝜍̃	PROPN
cana-1625	216	68	,	,	PUNCT
cana-1625	216	69	𝜚	𝜚	NOUN
cana-1625	216	70	)	)	PUNCT
cana-1625	216	71	∗	∗	NOUN
cana-1625	216	72	1	1	NUM
cana-1625	216	73	∗	∗	NOUN
cana-1625	216	74	1	1	NUM
cana-1625	216	75	∗	∗	NOUN
cana-1625	216	76	ℜ(	ℜ(	X
cana-1625	216	77	�	�	PROPN
cana-1625	216	78	̈	̈	X
cana-1625	216	79	�	�	PROPN
cana-1625	216	80	𝔨	𝔨	PROPN
cana-1625	216	81	,	,	PUNCT
cana-1625	216	82	�	�	PROPN
cana-1625	216	83	̈	̈	X
cana-1625	216	84	�	�	PROPN
cana-1625	216	85	𝜍̃	𝜍̃	PROPN
cana-1625	216	86	,	,	PUNCT
cana-1625	216	87	𝜚	𝜚	NOUN
cana-1625	216	88	)	)	PUNCT
cana-1625	216	89	=	=	SYM
cana-1625	216	90	ℜ(	ℜ(	X
cana-1625	216	91	�	�	PROPN
cana-1625	216	92	̈	̈	X
cana-1625	216	93	�	�	PROPN
cana-1625	216	94	𝔨	𝔨	PROPN
cana-1625	216	95	,	,	PUNCT
cana-1625	216	96	�	�	PROPN
cana-1625	216	97	̈	̈	X
cana-1625	216	98	�	�	PROPN
cana-1625	216	99	𝜍̃	𝜍̃	PROPN
cana-1625	216	100	,	,	PUNCT
cana-1625	216	101	𝜚	𝜚	NOUN
cana-1625	216	102	)	)	PUNCT
cana-1625	216	103	.	.	PUNCT
cana-1625	217	1	𝔖(	𝔖(	PROPN
cana-1625	217	2	�	�	PROPN
cana-1625	217	3	̈	̈	X
cana-1625	217	4	�	�	PROPN
cana-1625	217	5	𝔨	𝔨	PROPN
cana-1625	217	6	,	,	PUNCT
cana-1625	217	7	�	�	PROPN
cana-1625	217	8	̈	̈	X
cana-1625	217	9	�	�	PROPN
cana-1625	217	10	𝜍̃	𝜍̃	PROPN
cana-1625	217	11	,	,	PUNCT
cana-1625	217	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	217	13	)	)	PUNCT
cana-1625	217	14	≤	≤	NOUN
cana-1625	217	15	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	217	16	,	,	PUNCT
cana-1625	217	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	18	,	,	PUNCT
cana-1625	217	19	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	217	20	�	�	PROPN
cana-1625	217	21	̈	̈	SYM
cana-1625	217	22	�	�	PROPN
cana-1625	217	23	𝔨	𝔨	PROPN
cana-1625	217	24	,	,	PUNCT
cana-1625	217	25	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	217	26	,	,	PUNCT
cana-1625	217	27	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	217	28	�	�	PROPN
cana-1625	217	29	̈	̈	SYM
cana-1625	217	30	�	�	PROPN
cana-1625	217	31	𝜍̃	𝜍̃	PROPN
cana-1625	217	32	,	,	PUNCT
cana-1625	217	33	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	34	,	,	PUNCT
cana-1625	217	35	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	217	36	�	�	PROPN
cana-1625	217	37	̈	̈	X
cana-1625	217	38	�	�	PROPN
cana-1625	217	39	𝔨	𝔨	PROPN
cana-1625	217	40	,	,	PUNCT
cana-1625	217	41	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	42	,	,	PUNCT
cana-1625	217	43	𝜚	𝜚	NOUN
cana-1625	217	44	)	)	PUNCT
cana-1625	217	45	=	=	SYM
cana-1625	217	46	𝔖(	𝔖(	NOUN
cana-1625	217	47	�	�	PROPN
cana-1625	217	48	̈	̈	X
cana-1625	217	49	�	�	PROPN
cana-1625	217	50	𝔨	𝔨	PROPN
cana-1625	217	51	,	,	PUNCT
cana-1625	217	52	�	�	PROPN
cana-1625	217	53	̈	̈	X
cana-1625	217	54	�	�	PROPN
cana-1625	217	55	𝜍̃	𝜍̃	PROPN
cana-1625	217	56	,	,	PUNCT
cana-1625	217	57	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	217	58	�	�	PROPN
cana-1625	217	59	̈	̈	X
cana-1625	217	60	�	�	PROPN
cana-1625	217	61	𝔨	𝔨	PROPN
cana-1625	217	62	,	,	PUNCT
cana-1625	217	63	�	�	PROPN
cana-1625	217	64	̈	̈	X
cana-1625	217	65	�	�	PROPN
cana-1625	217	66	𝔨	𝔨	PROPN
cana-1625	217	67	,	,	PUNCT
cana-1625	217	68	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	217	69	�	�	PROPN
cana-1625	217	70	̈	̈	X
cana-1625	217	71	�	�	PROPN
cana-1625	217	72	𝔨	𝔨	PROPN
cana-1625	217	73	,	,	PUNCT
cana-1625	217	74	�	�	PROPN
cana-1625	217	75	̈	̈	X
cana-1625	217	76	�	�	PROPN
cana-1625	217	77	𝔨	𝔨	PROPN
cana-1625	217	78	,	,	PUNCT
cana-1625	217	79	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	217	80	�	�	PROPN
cana-1625	217	81	̈	̈	X
cana-1625	217	82	�	�	PROPN
cana-1625	217	83	𝔨	𝔨	PROPN
cana-1625	217	84	,	,	PUNCT
cana-1625	217	85	�	�	PROPN
cana-1625	217	86	̈	̈	X
cana-1625	217	87	�	�	PROPN
cana-1625	217	88	𝜍̃	𝜍̃	PROPN
cana-1625	217	89	,	,	PUNCT
cana-1625	217	90	𝜚	𝜚	NOUN
cana-1625	217	91	)	)	PUNCT
cana-1625	217	92	=	=	SYM
cana-1625	217	93	𝔖(	𝔖(	NOUN
cana-1625	217	94	�	�	PROPN
cana-1625	217	95	̈	̈	X
cana-1625	217	96	�	�	PROPN
cana-1625	217	97	𝔨	𝔨	PROPN
cana-1625	217	98	,	,	PUNCT
cana-1625	217	99	�	�	PROPN
cana-1625	217	100	̈	̈	X
cana-1625	217	101	�	�	PROPN
cana-1625	217	102	𝜍̃	𝜍̃	PROPN
cana-1625	217	103	,	,	PUNCT
cana-1625	217	104	𝜚)⨀0⨀0⨀𝔖(	𝜚)⨀0⨀0⨀𝔖(	X
cana-1625	217	105	�	�	PROPN
cana-1625	217	106	̈	̈	SYM
cana-1625	217	107	�	�	PROPN
cana-1625	217	108	𝔨	𝔨	PROPN
cana-1625	217	109	,	,	PUNCT
cana-1625	217	110	�	�	PROPN
cana-1625	217	111	̈	̈	X
cana-1625	217	112	�	�	PROPN
cana-1625	217	113	𝜍̃	𝜍̃	PROPN
cana-1625	217	114	,	,	PUNCT
cana-1625	217	115	𝜚	𝜚	NOUN
cana-1625	217	116	)	)	PUNCT
cana-1625	217	117	=	=	SYM
cana-1625	217	118	𝔖(	𝔖(	NOUN
cana-1625	217	119	�	�	PROPN
cana-1625	217	120	̈	̈	X
cana-1625	217	121	�	�	PROPN
cana-1625	217	122	𝔨	𝔨	PROPN
cana-1625	217	123	,	,	PUNCT
cana-1625	217	124	�	�	PROPN
cana-1625	217	125	̈	̈	X
cana-1625	217	126	�	�	PROPN
cana-1625	217	127	𝜍̃	𝜍̃	PROPN
cana-1625	217	128	,	,	PUNCT
cana-1625	217	129	𝜚	𝜚	NOUN
cana-1625	217	130	)	)	PUNCT
cana-1625	217	131	and	and	CCONJ
cana-1625	217	132	𝔗(	𝔗(	ADJ
cana-1625	217	133	�	�	PROPN
cana-1625	217	134	̈	̈	X
cana-1625	217	135	�	�	PROPN
cana-1625	217	136	𝔨	𝔨	PROPN
cana-1625	217	137	,	,	PUNCT
cana-1625	217	138	�	�	PROPN
cana-1625	217	139	̈	̈	X
cana-1625	217	140	�	�	PROPN
cana-1625	217	141	𝜍̃	𝜍̃	PROPN
cana-1625	217	142	,	,	PUNCT
cana-1625	217	143	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	217	144	)	)	PUNCT
cana-1625	217	145	≤	≤	NOUN
cana-1625	217	146	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	217	147	,	,	PUNCT
cana-1625	217	148	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	149	,	,	PUNCT
cana-1625	217	150	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	151	�	�	PROPN
cana-1625	217	152	̈	̈	X
cana-1625	217	153	�	�	PROPN
cana-1625	217	154	𝔨	𝔨	PROPN
cana-1625	217	155	,	,	PUNCT
cana-1625	217	156	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	217	157	,	,	PUNCT
cana-1625	217	158	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	159	�	�	PROPN
cana-1625	217	160	̈	̈	SYM
cana-1625	217	161	�	�	PROPN
cana-1625	217	162	𝜍̃	𝜍̃	PROPN
cana-1625	217	163	,	,	PUNCT
cana-1625	217	164	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	165	,	,	PUNCT
cana-1625	217	166	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	167	�	�	PROPN
cana-1625	217	168	̈	̈	X
cana-1625	217	169	�	�	PROPN
cana-1625	217	170	𝔨	𝔨	PROPN
cana-1625	217	171	,	,	PUNCT
cana-1625	217	172	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	217	173	,	,	PUNCT
cana-1625	217	174	𝜚	𝜚	NOUN
cana-1625	217	175	)	)	PUNCT
cana-1625	217	176	communications	communication	NOUN
cana-1625	217	177	on	on	ADP
cana-1625	217	178	applied	apply	VERB
cana-1625	217	179	nonlinear	nonlinear	ADJ
cana-1625	217	180	analysis	analysis	NOUN
cana-1625	217	181	issn	issn	NOUN
cana-1625	217	182	:	:	PUNCT
cana-1625	217	183	1074	1074	NUM
cana-1625	217	184	-	-	PUNCT
cana-1625	217	185	133x	133x	NUM
cana-1625	217	186	vol	vol	NOUN
cana-1625	217	187	32	32	NUM
cana-1625	217	188	no	no	NOUN
cana-1625	217	189	.	.	NOUN
cana-1625	217	190	1	1	NUM
cana-1625	217	191	(	(	PUNCT
cana-1625	217	192	2025	2025	NUM
cana-1625	217	193	)	)	PUNCT
cana-1625	217	194	123	123	NUM
cana-1625	217	195	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	217	196	=	=	SYM
cana-1625	217	197	𝔗(	𝔗(	ADJ
cana-1625	217	198	�	�	PROPN
cana-1625	217	199	̈	̈	SYM
cana-1625	217	200	�	�	PROPN
cana-1625	217	201	𝔨	𝔨	PROPN
cana-1625	217	202	,	,	PUNCT
cana-1625	217	203	�	�	PROPN
cana-1625	217	204	̈	̈	X
cana-1625	217	205	�	�	PROPN
cana-1625	217	206	𝜍̃	𝜍̃	PROPN
cana-1625	217	207	,	,	PUNCT
cana-1625	217	208	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	209	�	�	PROPN
cana-1625	217	210	̈	̈	X
cana-1625	217	211	�	�	PROPN
cana-1625	217	212	𝔨	𝔨	PROPN
cana-1625	217	213	,	,	PUNCT
cana-1625	217	214	�	�	PROPN
cana-1625	217	215	̈	̈	X
cana-1625	217	216	�	�	PROPN
cana-1625	217	217	𝔨	𝔨	PROPN
cana-1625	217	218	,	,	PUNCT
cana-1625	217	219	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	220	�	�	PROPN
cana-1625	217	221	̈	̈	X
cana-1625	217	222	�	�	PROPN
cana-1625	217	223	𝔨	𝔨	PROPN
cana-1625	217	224	,	,	PUNCT
cana-1625	217	225	�	�	PROPN
cana-1625	217	226	̈	̈	X
cana-1625	217	227	�	�	PROPN
cana-1625	217	228	𝔨	𝔨	PROPN
cana-1625	217	229	,	,	PUNCT
cana-1625	217	230	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	217	231	�	�	PROPN
cana-1625	217	232	̈	̈	X
cana-1625	217	233	�	�	PROPN
cana-1625	217	234	𝔨	𝔨	PROPN
cana-1625	217	235	,	,	PUNCT
cana-1625	217	236	�	�	PROPN
cana-1625	217	237	̈	̈	X
cana-1625	217	238	�	�	PROPN
cana-1625	217	239	𝜍̃	𝜍̃	PROPN
cana-1625	217	240	,	,	PUNCT
cana-1625	217	241	𝜚	𝜚	NOUN
cana-1625	217	242	)	)	PUNCT
cana-1625	217	243	=	=	SYM
cana-1625	217	244	𝔗(	𝔗(	ADJ
cana-1625	217	245	�	�	PROPN
cana-1625	217	246	̈	̈	SYM
cana-1625	217	247	�	�	PROPN
cana-1625	217	248	𝔨	𝔨	PROPN
cana-1625	217	249	,	,	PUNCT
cana-1625	217	250	�	�	PROPN
cana-1625	217	251	̈	̈	X
cana-1625	217	252	�	�	PROPN
cana-1625	217	253	𝜍̃	𝜍̃	PROPN
cana-1625	217	254	,	,	PUNCT
cana-1625	217	255	𝜚)⨀0⨀0⨀𝔗(	𝜚)⨀0⨀0⨀𝔗(	X
cana-1625	217	256	�	�	PROPN
cana-1625	217	257	̈	̈	X
cana-1625	217	258	�	�	PROPN
cana-1625	217	259	𝔨	𝔨	PROPN
cana-1625	217	260	,	,	PUNCT
cana-1625	217	261	�	�	PROPN
cana-1625	217	262	̈	̈	X
cana-1625	217	263	�	�	PROPN
cana-1625	217	264	𝜍̃	𝜍̃	PROPN
cana-1625	217	265	,	,	PUNCT
cana-1625	217	266	𝜚	𝜚	NOUN
cana-1625	217	267	)	)	PUNCT
cana-1625	217	268	=	=	SYM
cana-1625	217	269	𝔗(	𝔗(	ADJ
cana-1625	217	270	�	�	PROPN
cana-1625	217	271	̈	̈	SYM
cana-1625	217	272	�	�	PROPN
cana-1625	217	273	𝔨	𝔨	PROPN
cana-1625	217	274	,	,	PUNCT
cana-1625	217	275	�	�	PROPN
cana-1625	217	276	̈	̈	X
cana-1625	217	277	�	�	PROPN
cana-1625	217	278	𝜍̃	𝜍̃	PROPN
cana-1625	217	279	,	,	PUNCT
cana-1625	217	280	𝜚	𝜚	NOUN
cana-1625	217	281	)	)	PUNCT
cana-1625	217	282	.	.	PUNCT
cana-1625	218	1	in	in	ADP
cana-1625	218	2	view	view	NOUN
cana-1625	218	3	of	of	ADP
cana-1625	218	4	lemma	lemma	PROPN
cana-1625	218	5	(	(	PUNCT
cana-1625	218	6	2.10	2.10	NUM
cana-1625	218	7	)	)	PUNCT
cana-1625	218	8	,	,	PUNCT
cana-1625	218	9	we	we	PRON
cana-1625	218	10	have	have	VERB
cana-1625	218	11	�	�	PROPN
cana-1625	218	12	̈	̈	X
cana-1625	218	13	�	�	NOUN
cana-1625	218	14	𝔨	𝔨	NOUN
cana-1625	218	15	=	=	SYM
cana-1625	218	16	�	�	PROPN
cana-1625	218	17	̈	̈	X
cana-1625	218	18	�	�	NOUN
cana-1625	218	19	𝜍̃	𝜍̃	PROPN
cana-1625	218	20	and	and	CCONJ
cana-1625	218	21	therefore	therefore	ADV
cana-1625	218	22	�	�	PROPN
cana-1625	218	23	̈	̈	X
cana-1625	218	24	�	�	NOUN
cana-1625	218	25	𝔨	𝔨	NOUN
cana-1625	218	26	=	=	SYM
cana-1625	218	27	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	218	28	=	=	PUNCT
cana-1625	218	29	�	�	PROPN
cana-1625	218	30	̈	̈	X
cana-1625	218	31	�	�	NOUN
cana-1625	218	32	𝜍̃	𝜍̃	NOUN
cana-1625	218	33	=	=	SYM
cana-1625	218	34	𝔚𝜍̃.	𝔚𝜍̃.	PROPN
cana-1625	218	35	(	(	PUNCT
cana-1625	218	36	3.7.4	3.7.4	NUM
cana-1625	218	37	)	)	PUNCT
cana-1625	218	38	suppose	suppose	VERB
cana-1625	218	39	the	the	DET
cana-1625	218	40	pair	pair	NOUN
cana-1625	218	41	{	{	PUNCT
cana-1625	218	42	𝔄,̈	𝔄,̈	PROPN
cana-1625	218	43	𝔏	𝔏	PROPN
cana-1625	218	44	}	}	PUNCT
cana-1625	218	45	have	have	VERB
cana-1625	218	46	an	an	DET
cana-1625	218	47	another	another	DET
cana-1625	218	48	coincidence	coincidence	NOUN
cana-1625	218	49	point	point	NOUN
cana-1625	218	50	𝔴	𝔴	PROPN
cana-1625	218	51	∈	∈	PROPN
cana-1625	218	52	ξ	ξ	PROPN
cana-1625	218	53	,	,	PUNCT
cana-1625	218	54	i.e.	i.e.	X
cana-1625	218	55	,	,	PUNCT
cana-1625	218	56	�	�	NOUN
cana-1625	218	57	̈	̈	X
cana-1625	218	58	�	�	NOUN
cana-1625	218	59	𝔴	𝔴	NOUN
cana-1625	218	60	=	=	SYM
cana-1625	218	61	𝔏𝔴.	𝔏𝔴.	PROPN
cana-1625	218	62	ℜ(	ℜ(	X
cana-1625	218	63	�	�	PROPN
cana-1625	218	64	̈	̈	X
cana-1625	218	65	�	�	NOUN
cana-1625	218	66	𝔴	𝔴	PROPN
cana-1625	218	67	,	,	PUNCT
cana-1625	218	68	�	�	PROPN
cana-1625	218	69	̈	̈	X
cana-1625	218	70	�	�	PROPN
cana-1625	218	71	𝜍̃	𝜍̃	PROPN
cana-1625	218	72	,	,	PUNCT
cana-1625	218	73	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	218	74	)	)	PUNCT
cana-1625	218	75	≥	≥	NOUN
cana-1625	218	76	ℜ(𝔏𝔴	ℜ(𝔏𝔴	PROPN
cana-1625	218	77	,	,	PUNCT
cana-1625	218	78	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	218	79	,	,	PUNCT
cana-1625	218	80	𝜚	𝜚	NOUN
cana-1625	218	81	)	)	PUNCT
cana-1625	218	82	∗	∗	NOUN
cana-1625	218	83	ℜ(	ℜ(	X
cana-1625	218	84	�	�	PROPN
cana-1625	218	85	̈	̈	X
cana-1625	218	86	�	�	NOUN
cana-1625	218	87	𝔴	𝔴	NOUN
cana-1625	218	88	,	,	PUNCT
cana-1625	218	89	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	218	90	,	,	PUNCT
cana-1625	218	91	𝜚	𝜚	NOUN
cana-1625	218	92	)	)	PUNCT
cana-1625	218	93	∗	∗	NOUN
cana-1625	218	94	ℜ(	ℜ(	X
cana-1625	218	95	�	�	PROPN
cana-1625	218	96	̈	̈	NOUN
cana-1625	218	97	�	�	PROPN
cana-1625	218	98	𝜍̃	𝜍̃	PROPN
cana-1625	218	99	,	,	PUNCT
cana-1625	218	100	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	218	101	,	,	PUNCT
cana-1625	218	102	𝜚	𝜚	NOUN
cana-1625	218	103	)	)	PUNCT
cana-1625	218	104	∗	∗	NOUN
cana-1625	218	105	ℜ(	ℜ(	X
cana-1625	218	106	�	�	PROPN
cana-1625	218	107	̈	̈	X
cana-1625	218	108	�	�	NOUN
cana-1625	218	109	𝔴	𝔴	NOUN
cana-1625	218	110	,	,	PUNCT
cana-1625	218	111	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	218	112	,	,	PUNCT
cana-1625	218	113	𝜚	𝜚	NOUN
cana-1625	218	114	)	)	PUNCT
cana-1625	218	115	=	=	SYM
cana-1625	218	116	ℜ(	ℜ(	X
cana-1625	218	117	�	�	PROPN
cana-1625	218	118	̈	̈	X
cana-1625	218	119	�	�	NOUN
cana-1625	218	120	𝔴	𝔴	PROPN
cana-1625	218	121	,	,	PUNCT
cana-1625	218	122	�	�	PROPN
cana-1625	218	123	̈	̈	X
cana-1625	218	124	�	�	PROPN
cana-1625	218	125	𝜍̃	𝜍̃	PROPN
cana-1625	218	126	,	,	PUNCT
cana-1625	218	127	𝜚	𝜚	NOUN
cana-1625	218	128	)	)	PUNCT
cana-1625	218	129	∗	∗	NOUN
cana-1625	218	130	ℜ(	ℜ(	X
cana-1625	218	131	�	�	PROPN
cana-1625	218	132	̈	̈	X
cana-1625	218	133	�	�	NOUN
cana-1625	218	134	𝔴	𝔴	PROPN
cana-1625	218	135	,	,	PUNCT
cana-1625	218	136	�	�	PROPN
cana-1625	218	137	̈	̈	X
cana-1625	218	138	�	�	NOUN
cana-1625	218	139	𝔴	𝔴	PROPN
cana-1625	218	140	,	,	PUNCT
cana-1625	218	141	𝜚	𝜚	NOUN
cana-1625	218	142	)	)	PUNCT
cana-1625	218	143	∗	∗	NOUN
cana-1625	218	144	ℜ(	ℜ(	X
cana-1625	218	145	�	�	PROPN
cana-1625	218	146	̈	̈	X
cana-1625	218	147	�	�	NOUN
cana-1625	218	148	𝔴	𝔴	PROPN
cana-1625	218	149	,	,	PUNCT
cana-1625	218	150	�	�	PROPN
cana-1625	218	151	̈	̈	X
cana-1625	218	152	�	�	NOUN
cana-1625	218	153	𝔴	𝔴	PROPN
cana-1625	218	154	,	,	PUNCT
cana-1625	218	155	𝜚	𝜚	NOUN
cana-1625	218	156	)	)	PUNCT
cana-1625	218	157	∗	∗	NOUN
cana-1625	218	158	ℜ(	ℜ(	X
cana-1625	218	159	�	�	PROPN
cana-1625	218	160	̈	̈	X
cana-1625	218	161	�	�	NOUN
cana-1625	218	162	𝔴	𝔴	PROPN
cana-1625	218	163	,	,	PUNCT
cana-1625	218	164	�	�	PROPN
cana-1625	218	165	̈	̈	X
cana-1625	218	166	�	�	PROPN
cana-1625	218	167	𝜍̃	𝜍̃	PROPN
cana-1625	218	168	,	,	PUNCT
cana-1625	218	169	𝜚	𝜚	NOUN
cana-1625	218	170	)	)	PUNCT
cana-1625	218	171	=	=	SYM
cana-1625	218	172	ℜ(	ℜ(	X
cana-1625	218	173	�	�	PROPN
cana-1625	218	174	̈	̈	X
cana-1625	218	175	�	�	NOUN
cana-1625	218	176	𝔴	𝔴	PROPN
cana-1625	218	177	,	,	PUNCT
cana-1625	218	178	�	�	PROPN
cana-1625	218	179	̈	̈	X
cana-1625	218	180	�	�	PROPN
cana-1625	218	181	𝜍̃	𝜍̃	PROPN
cana-1625	218	182	,	,	PUNCT
cana-1625	218	183	𝜚	𝜚	NOUN
cana-1625	218	184	)	)	PUNCT
cana-1625	218	185	∗	∗	NOUN
cana-1625	218	186	1	1	NUM
cana-1625	218	187	∗	∗	NOUN
cana-1625	218	188	1	1	NUM
cana-1625	218	189	∗	∗	NOUN
cana-1625	218	190	ℜ(	ℜ(	X
cana-1625	218	191	�	�	PROPN
cana-1625	218	192	̈	̈	X
cana-1625	218	193	�	�	NOUN
cana-1625	218	194	𝔴	𝔴	PROPN
cana-1625	218	195	,	,	PUNCT
cana-1625	218	196	�	�	PROPN
cana-1625	218	197	̈	̈	X
cana-1625	218	198	�	�	PROPN
cana-1625	218	199	𝜍̃	𝜍̃	PROPN
cana-1625	218	200	,	,	PUNCT
cana-1625	218	201	𝜚	𝜚	NOUN
cana-1625	218	202	)	)	PUNCT
cana-1625	218	203	=	=	SYM
cana-1625	218	204	ℜ(	ℜ(	X
cana-1625	218	205	�	�	PROPN
cana-1625	218	206	̈	̈	X
cana-1625	218	207	�	�	NOUN
cana-1625	218	208	𝔴	𝔴	PROPN
cana-1625	218	209	,	,	PUNCT
cana-1625	218	210	�	�	PROPN
cana-1625	218	211	̈	̈	X
cana-1625	218	212	�	�	PROPN
cana-1625	218	213	𝜍̃	𝜍̃	PROPN
cana-1625	218	214	,	,	PUNCT
cana-1625	218	215	𝜚	𝜚	NOUN
cana-1625	218	216	)	)	PUNCT
cana-1625	218	217	.	.	PUNCT
cana-1625	219	1	𝔖(	𝔖(	PROPN
cana-1625	219	2	�	�	PROPN
cana-1625	219	3	̈	̈	X
cana-1625	219	4	�	�	PROPN
cana-1625	219	5	𝔴	𝔴	PROPN
cana-1625	219	6	,	,	PUNCT
cana-1625	219	7	�	�	PROPN
cana-1625	219	8	̈	̈	X
cana-1625	219	9	�	�	PROPN
cana-1625	219	10	𝜍̃	𝜍̃	PROPN
cana-1625	219	11	,	,	PUNCT
cana-1625	219	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	219	13	)	)	PUNCT
cana-1625	219	14	≤	≤	NOUN
cana-1625	219	15	𝔖(𝔏𝔴	𝔖(𝔏𝔴	NUM
cana-1625	219	16	,	,	PUNCT
cana-1625	219	17	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	18	,	,	PUNCT
cana-1625	219	19	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	219	20	�	�	PROPN
cana-1625	219	21	̈	̈	SYM
cana-1625	219	22	�	�	NOUN
cana-1625	219	23	𝔴	𝔴	PROPN
cana-1625	219	24	,	,	PUNCT
cana-1625	219	25	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	219	26	,	,	PUNCT
cana-1625	219	27	𝜚)⨀𝔖(	𝜚)⨀𝔖(	ADJ
cana-1625	219	28	�	�	NOUN
cana-1625	219	29	̈	̈	SYM
cana-1625	219	30	�	�	PROPN
cana-1625	219	31	𝜍̃	𝜍̃	PROPN
cana-1625	219	32	,	,	PUNCT
cana-1625	219	33	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	34	,	,	PUNCT
cana-1625	219	35	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	219	36	�	�	PROPN
cana-1625	219	37	̈	̈	X
cana-1625	219	38	�	�	NOUN
cana-1625	219	39	𝔴	𝔴	NOUN
cana-1625	219	40	,	,	PUNCT
cana-1625	219	41	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	42	,	,	PUNCT
cana-1625	219	43	𝜚	𝜚	NOUN
cana-1625	219	44	)	)	PUNCT
cana-1625	219	45	=	=	SYM
cana-1625	219	46	𝔖(	𝔖(	NOUN
cana-1625	219	47	�	�	PROPN
cana-1625	219	48	̈	̈	X
cana-1625	219	49	�	�	PROPN
cana-1625	219	50	𝔴	𝔴	PROPN
cana-1625	219	51	,	,	PUNCT
cana-1625	219	52	�	�	PROPN
cana-1625	219	53	̈	̈	X
cana-1625	219	54	�	�	PROPN
cana-1625	219	55	𝜍̃	𝜍̃	PROPN
cana-1625	219	56	,	,	PUNCT
cana-1625	219	57	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	219	58	�	�	PROPN
cana-1625	219	59	̈	̈	SYM
cana-1625	219	60	�	�	NOUN
cana-1625	219	61	𝔴	𝔴	PROPN
cana-1625	219	62	,	,	PUNCT
cana-1625	219	63	�	�	PROPN
cana-1625	219	64	̈	̈	X
cana-1625	219	65	�	�	NOUN
cana-1625	219	66	𝔴	𝔴	PROPN
cana-1625	219	67	,	,	PUNCT
cana-1625	219	68	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	219	69	�	�	PROPN
cana-1625	219	70	̈	̈	SYM
cana-1625	219	71	�	�	NOUN
cana-1625	219	72	𝔴	𝔴	PROPN
cana-1625	219	73	,	,	PUNCT
cana-1625	219	74	�	�	PROPN
cana-1625	219	75	̈	̈	X
cana-1625	219	76	�	�	NOUN
cana-1625	219	77	𝔴	𝔴	PROPN
cana-1625	219	78	,	,	PUNCT
cana-1625	219	79	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	219	80	�	�	PROPN
cana-1625	219	81	̈	̈	SYM
cana-1625	219	82	�	�	NOUN
cana-1625	219	83	𝔴	𝔴	PROPN
cana-1625	219	84	,	,	PUNCT
cana-1625	219	85	�	�	PROPN
cana-1625	219	86	̈	̈	X
cana-1625	219	87	�	�	PROPN
cana-1625	219	88	𝜍̃	𝜍̃	PROPN
cana-1625	219	89	,	,	PUNCT
cana-1625	219	90	𝜚	𝜚	NOUN
cana-1625	219	91	)	)	PUNCT
cana-1625	219	92	=	=	SYM
cana-1625	219	93	𝔖(	𝔖(	NOUN
cana-1625	219	94	�	�	PROPN
cana-1625	219	95	̈	̈	X
cana-1625	219	96	�	�	PROPN
cana-1625	219	97	𝔴	𝔴	PROPN
cana-1625	219	98	,	,	PUNCT
cana-1625	219	99	�	�	PROPN
cana-1625	219	100	̈	̈	X
cana-1625	219	101	�	�	PROPN
cana-1625	219	102	𝜍̃	𝜍̃	PROPN
cana-1625	219	103	,	,	PUNCT
cana-1625	219	104	𝜚)⨀0⨀0⨀𝔖(	𝜚)⨀0⨀0⨀𝔖(	X
cana-1625	219	105	�	�	PROPN
cana-1625	219	106	̈	̈	SYM
cana-1625	219	107	�	�	NOUN
cana-1625	219	108	𝔴	𝔴	PROPN
cana-1625	219	109	,	,	PUNCT
cana-1625	219	110	�	�	PROPN
cana-1625	219	111	̈	̈	X
cana-1625	219	112	�	�	PROPN
cana-1625	219	113	𝜍̃	𝜍̃	PROPN
cana-1625	219	114	,	,	PUNCT
cana-1625	219	115	𝜚	𝜚	NOUN
cana-1625	219	116	)	)	PUNCT
cana-1625	219	117	=	=	SYM
cana-1625	219	118	𝔖(	𝔖(	NOUN
cana-1625	219	119	�	�	PROPN
cana-1625	219	120	̈	̈	X
cana-1625	219	121	�	�	PROPN
cana-1625	219	122	𝔴	𝔴	PROPN
cana-1625	219	123	,	,	PUNCT
cana-1625	219	124	�	�	PROPN
cana-1625	219	125	̈	̈	X
cana-1625	219	126	�	�	PROPN
cana-1625	219	127	𝜍̃	𝜍̃	PROPN
cana-1625	219	128	,	,	PUNCT
cana-1625	219	129	𝜚	𝜚	NOUN
cana-1625	219	130	)	)	PUNCT
cana-1625	219	131	and	and	CCONJ
cana-1625	219	132	𝔗(	𝔗(	ADJ
cana-1625	219	133	�	�	PROPN
cana-1625	219	134	̈	̈	X
cana-1625	219	135	�	�	NOUN
cana-1625	219	136	𝔴	𝔴	PROPN
cana-1625	219	137	,	,	PUNCT
cana-1625	219	138	�	�	PROPN
cana-1625	219	139	̈	̈	X
cana-1625	219	140	�	�	PROPN
cana-1625	219	141	𝜍̃	𝜍̃	PROPN
cana-1625	219	142	,	,	PUNCT
cana-1625	219	143	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	219	144	)	)	PUNCT
cana-1625	219	145	≤	≤	NOUN
cana-1625	219	146	𝔗(𝔏𝔴	𝔗(𝔏𝔴	PROPN
cana-1625	219	147	,	,	PUNCT
cana-1625	219	148	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	149	,	,	PUNCT
cana-1625	219	150	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	219	151	�	�	PROPN
cana-1625	219	152	̈	̈	X
cana-1625	219	153	�	�	NOUN
cana-1625	219	154	𝔴	𝔴	NOUN
cana-1625	219	155	,	,	PUNCT
cana-1625	219	156	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	219	157	,	,	PUNCT
cana-1625	219	158	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	219	159	�	�	PROPN
cana-1625	219	160	̈	̈	SYM
cana-1625	219	161	�	�	PROPN
cana-1625	219	162	𝜍̃	𝜍̃	PROPN
cana-1625	219	163	,	,	PUNCT
cana-1625	219	164	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	165	,	,	PUNCT
cana-1625	219	166	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	219	167	�	�	PROPN
cana-1625	219	168	̈	̈	X
cana-1625	219	169	�	�	NOUN
cana-1625	219	170	𝔴	𝔴	NOUN
cana-1625	219	171	,	,	PUNCT
cana-1625	219	172	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	219	173	,	,	PUNCT
cana-1625	219	174	𝜚	𝜚	NOUN
cana-1625	219	175	)	)	PUNCT
cana-1625	220	1	=	=	SYM
cana-1625	220	2	𝔗(	𝔗(	ADJ
cana-1625	220	3	�	�	PROPN
cana-1625	220	4	̈	̈	SYM
cana-1625	220	5	�	�	NOUN
cana-1625	220	6	𝔴	𝔴	PROPN
cana-1625	220	7	,	,	PUNCT
cana-1625	220	8	�	�	PROPN
cana-1625	220	9	̈	̈	X
cana-1625	220	10	�	�	PROPN
cana-1625	220	11	𝜍̃	𝜍̃	PROPN
cana-1625	220	12	,	,	PUNCT
cana-1625	220	13	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	220	14	�	�	PROPN
cana-1625	220	15	̈	̈	SYM
cana-1625	220	16	�	�	NOUN
cana-1625	220	17	𝔴	𝔴	PROPN
cana-1625	220	18	,	,	PUNCT
cana-1625	220	19	�	�	PROPN
cana-1625	220	20	̈	̈	X
cana-1625	220	21	�	�	NOUN
cana-1625	220	22	𝔴	𝔴	PROPN
cana-1625	220	23	,	,	PUNCT
cana-1625	220	24	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	220	25	�	�	PROPN
cana-1625	220	26	̈	̈	SYM
cana-1625	220	27	�	�	NOUN
cana-1625	220	28	𝔴	𝔴	PROPN
cana-1625	220	29	,	,	PUNCT
cana-1625	220	30	�	�	PROPN
cana-1625	220	31	̈	̈	X
cana-1625	220	32	�	�	NOUN
cana-1625	220	33	𝔴	𝔴	PROPN
cana-1625	220	34	,	,	PUNCT
cana-1625	220	35	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	220	36	�	�	PROPN
cana-1625	220	37	̈	̈	SYM
cana-1625	220	38	�	�	NOUN
cana-1625	220	39	𝔴	𝔴	PROPN
cana-1625	220	40	,	,	PUNCT
cana-1625	220	41	�	�	PROPN
cana-1625	220	42	̈	̈	X
cana-1625	220	43	�	�	PROPN
cana-1625	220	44	𝜍̃	𝜍̃	PROPN
cana-1625	220	45	,	,	PUNCT
cana-1625	220	46	𝜚	𝜚	NOUN
cana-1625	220	47	)	)	PUNCT
cana-1625	220	48	=	=	SYM
cana-1625	220	49	𝔗(	𝔗(	ADJ
cana-1625	220	50	�	�	PROPN
cana-1625	220	51	̈	̈	SYM
cana-1625	220	52	�	�	NOUN
cana-1625	220	53	𝔴	𝔴	PROPN
cana-1625	220	54	,	,	PUNCT
cana-1625	220	55	�	�	PROPN
cana-1625	220	56	̈	̈	X
cana-1625	220	57	�	�	PROPN
cana-1625	220	58	𝜍̃	𝜍̃	PROPN
cana-1625	220	59	,	,	PUNCT
cana-1625	220	60	𝜚)⨀0⨀0⨀𝔗(	𝜚)⨀0⨀0⨀𝔗(	X
cana-1625	220	61	�	�	PROPN
cana-1625	220	62	̈	̈	X
cana-1625	220	63	�	�	NOUN
cana-1625	220	64	𝔴	𝔴	PROPN
cana-1625	220	65	,	,	PUNCT
cana-1625	220	66	�	�	PROPN
cana-1625	220	67	̈	̈	X
cana-1625	220	68	�	�	PROPN
cana-1625	220	69	𝜍̃	𝜍̃	PROPN
cana-1625	220	70	,	,	PUNCT
cana-1625	220	71	𝜚	𝜚	NOUN
cana-1625	220	72	)	)	PUNCT
cana-1625	220	73	=	=	SYM
cana-1625	220	74	𝔗(	𝔗(	ADJ
cana-1625	220	75	�	�	PROPN
cana-1625	220	76	̈	̈	SYM
cana-1625	220	77	�	�	NOUN
cana-1625	220	78	𝔴	𝔴	PROPN
cana-1625	220	79	,	,	PUNCT
cana-1625	220	80	�	�	PROPN
cana-1625	220	81	̈	̈	X
cana-1625	220	82	�	�	PROPN
cana-1625	220	83	𝜍̃	𝜍̃	PROPN
cana-1625	220	84	,	,	PUNCT
cana-1625	220	85	𝜚	𝜚	NOUN
cana-1625	220	86	)	)	PUNCT
cana-1625	220	87	.	.	PUNCT
cana-1625	221	1	by	by	ADP
cana-1625	221	2	lemma	lemma	PROPN
cana-1625	221	3	(	(	PUNCT
cana-1625	221	4	2.10	2.10	NUM
cana-1625	221	5	)	)	PUNCT
cana-1625	221	6	,	,	PUNCT
cana-1625	221	7	�	�	PROPN
cana-1625	221	8	̈	̈	X
cana-1625	221	9	�	�	NOUN
cana-1625	221	10	𝔴	𝔴	NOUN
cana-1625	221	11	=	=	SYM
cana-1625	221	12	�	�	PROPN
cana-1625	221	13	̈	̈	X
cana-1625	221	14	�	�	NOUN
cana-1625	221	15	𝜍̃	𝜍̃	PROPN
cana-1625	221	16	and	and	CCONJ
cana-1625	221	17	consequently	consequently	ADV
cana-1625	221	18	�	�	PROPN
cana-1625	221	19	̈	̈	X
cana-1625	221	20	�	�	NOUN
cana-1625	221	21	𝔴	𝔴	NOUN
cana-1625	221	22	=	=	SYM
cana-1625	221	23	𝔏𝔴	𝔏𝔴	PROPN
cana-1625	221	24	=	=	SYM
cana-1625	221	25	�	�	PROPN
cana-1625	221	26	̈	̈	X
cana-1625	221	27	�	�	NOUN
cana-1625	221	28	𝜍̃	𝜍̃	NOUN
cana-1625	221	29	=	=	SYM
cana-1625	221	30	𝔚𝜍̃.	𝔚𝜍̃.	PROPN
cana-1625	221	31	(	(	PUNCT
cana-1625	221	32	3.7.5	3.7.5	NOUN
cana-1625	221	33	)	)	PUNCT
cana-1625	221	34	from	from	ADP
cana-1625	221	35	(	(	PUNCT
cana-1625	221	36	3.7.4	3.7.4	NUM
cana-1625	221	37	)	)	PUNCT
cana-1625	221	38	and	and	CCONJ
cana-1625	221	39	(	(	PUNCT
cana-1625	221	40	3.7.5	3.7.5	NUM
cana-1625	221	41	)	)	PUNCT
cana-1625	221	42	�	�	PROPN
cana-1625	221	43	̈	̈	X
cana-1625	221	44	�	�	PROPN
cana-1625	221	45	𝔨	𝔨	NOUN
cana-1625	221	46	=	=	SYM
cana-1625	221	47	�	�	PROPN
cana-1625	221	48	̈	̈	X
cana-1625	221	49	�	�	NOUN
cana-1625	221	50	𝔴	𝔴	NOUN
cana-1625	221	51	and	and	CCONJ
cana-1625	221	52	therefore	therefore	ADV
cana-1625	221	53	the	the	DET
cana-1625	221	54	pair	pair	NOUN
cana-1625	221	55	{	{	PUNCT
cana-1625	221	56	𝔄,̈	𝔄,̈	PROPN
cana-1625	221	57	𝔏	𝔏	PROPN
cana-1625	221	58	}	}	PUNCT
cana-1625	221	59	have	have	VERB
cana-1625	221	60	a	a	DET
cana-1625	221	61	unique	unique	ADJ
cana-1625	221	62	point	point	NOUN
cana-1625	221	63	of	of	ADP
cana-1625	221	64	coincidence	coincidence	NOUN
cana-1625	221	65	𝜁	𝜁	PROPN
cana-1625	221	66	=	=	SYM
cana-1625	221	67	�	�	PROPN
cana-1625	221	68	̈	̈	X
cana-1625	221	69	�	�	NOUN
cana-1625	221	70	𝔨	𝔨	NOUN
cana-1625	221	71	=	=	PUNCT
cana-1625	221	72	𝔏𝔨.	𝔏𝔨.	PROPN
cana-1625	221	73	𝜁	𝜁	PROPN
cana-1625	221	74	is	be	AUX
cana-1625	221	75	the	the	DET
cana-1625	221	76	unique	unique	ADJ
cana-1625	221	77	common	common	ADJ
cana-1625	221	78	fixed	fix	VERB
cana-1625	221	79	point	point	NOUN
cana-1625	221	80	of	of	ADP
cana-1625	221	81	{	{	PUNCT
cana-1625	221	82	𝔄,̈	𝔄,̈	PROPN
cana-1625	221	83	𝔏	𝔏	PROPN
cana-1625	221	84	}	}	PUNCT
cana-1625	221	85	.	.	PUNCT
cana-1625	222	1	similarly	similarly	ADV
cana-1625	222	2	,	,	PUNCT
cana-1625	222	3	we	we	PRON
cana-1625	222	4	can	can	AUX
cana-1625	222	5	show	show	VERB
cana-1625	222	6	that	that	SCONJ
cana-1625	222	7	there	there	PRON
cana-1625	222	8	is	be	VERB
cana-1625	222	9	unique	unique	ADJ
cana-1625	222	10	common	common	ADJ
cana-1625	222	11	fixed	fix	VERB
cana-1625	222	12	point	point	NOUN
cana-1625	222	13	𝜂	𝜂	NOUN
cana-1625	222	14	∈	∈	PROPN
cana-1625	222	15	ξ	ξ	X
cana-1625	222	16	of	of	ADP
cana-1625	222	17	{	{	PUNCT
cana-1625	222	18	�	�	PROPN
cana-1625	222	19	̈	̈	X
cana-1625	222	20	�	�	PROPN
cana-1625	222	21	,	,	PUNCT
cana-1625	222	22	𝔚	𝔚	PROPN
cana-1625	222	23	}	}	PUNCT
cana-1625	222	24	.	.	PUNCT
cana-1625	223	1	now	now	ADV
cana-1625	223	2	,	,	PUNCT
cana-1625	223	3	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	223	4	,	,	PUNCT
cana-1625	223	5	𝜂	𝜂	NOUN
cana-1625	223	6	,	,	PUNCT
cana-1625	223	7	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	223	8	)	)	PUNCT
cana-1625	223	9	=	=	SYM
cana-1625	223	10	ℜ(	ℜ(	X
cana-1625	223	11	�	�	PROPN
cana-1625	223	12	̈	̈	X
cana-1625	223	13	�	�	PROPN
cana-1625	223	14	𝜁	𝜁	PROPN
cana-1625	223	15	,	,	PUNCT
cana-1625	223	16	�	�	PROPN
cana-1625	223	17	̈	̈	X
cana-1625	223	18	�	�	NOUN
cana-1625	223	19	𝜂	𝜂	PROPN
cana-1625	223	20	,	,	PUNCT
cana-1625	223	21	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	223	22	)	)	PUNCT
cana-1625	223	23	≥	≥	NOUN
cana-1625	223	24	ℜ(𝔏𝜁	ℜ(𝔏𝜁	NUM
cana-1625	223	25	,	,	PUNCT
cana-1625	223	26	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	223	27	,	,	PUNCT
cana-1625	223	28	𝜚	𝜚	NOUN
cana-1625	223	29	)	)	PUNCT
cana-1625	223	30	∗	∗	NOUN
cana-1625	223	31	ℜ(	ℜ(	X
cana-1625	223	32	�	�	PROPN
cana-1625	223	33	̈	̈	X
cana-1625	223	34	�	�	PROPN
cana-1625	223	35	𝜁	𝜁	PROPN
cana-1625	223	36	,	,	PUNCT
cana-1625	223	37	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	223	38	,	,	PUNCT
cana-1625	223	39	𝜚	𝜚	NOUN
cana-1625	223	40	)	)	PUNCT
cana-1625	223	41	∗	∗	NOUN
cana-1625	223	42	ℜ(	ℜ(	X
cana-1625	223	43	�	�	PROPN
cana-1625	223	44	̈	̈	X
cana-1625	223	45	�	�	NOUN
cana-1625	223	46	𝜂	𝜂	PROPN
cana-1625	223	47	,	,	PUNCT
cana-1625	223	48	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	223	49	,	,	PUNCT
cana-1625	223	50	𝜚	𝜚	NOUN
cana-1625	223	51	)	)	PUNCT
cana-1625	223	52	∗	∗	NOUN
cana-1625	223	53	ℜ(	ℜ(	X
cana-1625	223	54	�	�	PROPN
cana-1625	223	55	̈	̈	X
cana-1625	223	56	�	�	PROPN
cana-1625	223	57	𝜁	𝜁	PROPN
cana-1625	223	58	,	,	PUNCT
cana-1625	223	59	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	223	60	,	,	PUNCT
cana-1625	223	61	𝜚	𝜚	NOUN
cana-1625	223	62	)	)	PUNCT
cana-1625	223	63	=	=	SYM
cana-1625	223	64	ℜ(	ℜ(	X
cana-1625	223	65	�	�	PROPN
cana-1625	223	66	̈	̈	X
cana-1625	223	67	�	�	PROPN
cana-1625	223	68	𝜁	𝜁	PROPN
cana-1625	223	69	,	,	PUNCT
cana-1625	223	70	�	�	PROPN
cana-1625	223	71	̈	̈	X
cana-1625	223	72	�	�	NOUN
cana-1625	223	73	𝜂	𝜂	PROPN
cana-1625	223	74	,	,	PUNCT
cana-1625	223	75	𝜚	𝜚	NOUN
cana-1625	223	76	)	)	PUNCT
cana-1625	223	77	∗	∗	NOUN
cana-1625	223	78	ℜ(	ℜ(	X
cana-1625	223	79	�	�	PROPN
cana-1625	223	80	̈	̈	X
cana-1625	223	81	�	�	PROPN
cana-1625	223	82	𝜁	𝜁	PROPN
cana-1625	223	83	,	,	PUNCT
cana-1625	223	84	�	�	PROPN
cana-1625	223	85	̈	̈	X
cana-1625	223	86	�	�	NOUN
cana-1625	223	87	𝜁	𝜁	PROPN
cana-1625	223	88	,	,	PUNCT
cana-1625	223	89	𝜚	𝜚	NOUN
cana-1625	223	90	)	)	PUNCT
cana-1625	223	91	∗	∗	NOUN
cana-1625	223	92	ℜ(	ℜ(	X
cana-1625	223	93	�	�	PROPN
cana-1625	223	94	̈	̈	X
cana-1625	223	95	�	�	NOUN
cana-1625	223	96	𝜂	𝜂	PROPN
cana-1625	223	97	,	,	PUNCT
cana-1625	223	98	�	�	NOUN
cana-1625	223	99	̈	̈	X
cana-1625	223	100	�	�	NOUN
cana-1625	223	101	𝜂	𝜂	PROPN
cana-1625	223	102	,	,	PUNCT
cana-1625	223	103	𝜚	𝜚	NOUN
cana-1625	223	104	)	)	PUNCT
cana-1625	223	105	∗	∗	NOUN
cana-1625	223	106	ℜ(	ℜ(	X
cana-1625	223	107	�	�	PROPN
cana-1625	223	108	̈	̈	X
cana-1625	223	109	�	�	PROPN
cana-1625	223	110	𝜁	𝜁	PROPN
cana-1625	223	111	,	,	PUNCT
cana-1625	223	112	�	�	PROPN
cana-1625	223	113	̈	̈	X
cana-1625	223	114	�	�	NOUN
cana-1625	223	115	𝜂	𝜂	PROPN
cana-1625	223	116	,	,	PUNCT
cana-1625	223	117	𝜚	𝜚	NOUN
cana-1625	223	118	)	)	PUNCT
cana-1625	223	119	=	=	SYM
cana-1625	223	120	ℜ(	ℜ(	X
cana-1625	223	121	�	�	PROPN
cana-1625	223	122	̈	̈	X
cana-1625	223	123	�	�	PROPN
cana-1625	223	124	𝜁	𝜁	PROPN
cana-1625	223	125	,	,	PUNCT
cana-1625	223	126	𝔅	𝔅	PROPN
cana-1625	223	127	�	�	PROPN
cana-1625	223	128	̈	̈	SYM
cana-1625	223	129	�	�	PROPN
cana-1625	223	130	,	,	PUNCT
cana-1625	223	131	𝜚	𝜚	NOUN
cana-1625	223	132	)	)	PUNCT
cana-1625	223	133	∗	∗	NOUN
cana-1625	223	134	1	1	NUM
cana-1625	223	135	∗	∗	NOUN
cana-1625	223	136	1	1	NUM
cana-1625	223	137	∗	∗	NOUN
cana-1625	223	138	ℜ(	ℜ(	X
cana-1625	223	139	�	�	PROPN
cana-1625	223	140	̈	̈	X
cana-1625	223	141	�	�	PROPN
cana-1625	223	142	𝜁	𝜁	PROPN
cana-1625	223	143	,	,	PUNCT
cana-1625	223	144	�	�	PROPN
cana-1625	223	145	̈	̈	X
cana-1625	223	146	�	�	NOUN
cana-1625	223	147	𝜂	𝜂	PROPN
cana-1625	223	148	,	,	PUNCT
cana-1625	223	149	𝜚	𝜚	NOUN
cana-1625	223	150	)	)	PUNCT
cana-1625	224	1	=	=	SYM
cana-1625	224	2	ℜ(	ℜ(	X
cana-1625	224	3	�	�	PROPN
cana-1625	224	4	̈	̈	X
cana-1625	224	5	�	�	PROPN
cana-1625	224	6	𝜁	𝜁	PROPN
cana-1625	224	7	,	,	PUNCT
cana-1625	224	8	𝔅	𝔅	PROPN
cana-1625	224	9	�	�	PROPN
cana-1625	224	10	̈	̈	SYM
cana-1625	224	11	�	�	PROPN
cana-1625	224	12	,	,	PUNCT
cana-1625	224	13	𝜚	𝜚	NOUN
cana-1625	224	14	)	)	PUNCT
cana-1625	224	15	=	=	SYM
cana-1625	224	16	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	224	17	,	,	PUNCT
cana-1625	224	18	𝜂	𝜂	PROPN
cana-1625	224	19	,	,	PUNCT
cana-1625	224	20	𝜚	𝜚	NOUN
cana-1625	224	21	)	)	PUNCT
cana-1625	224	22	.	.	PUNCT
cana-1625	225	1	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	225	2	,	,	PUNCT
cana-1625	225	3	𝜂	𝜂	PROPN
cana-1625	225	4	,	,	PUNCT
cana-1625	225	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	225	6	)	)	PUNCT
cana-1625	225	7	=	=	SYM
cana-1625	225	8	𝔖(	𝔖(	NOUN
cana-1625	225	9	�	�	PROPN
cana-1625	225	10	̈	̈	X
cana-1625	225	11	�	�	PROPN
cana-1625	225	12	𝜁	𝜁	PROPN
cana-1625	225	13	,	,	PUNCT
cana-1625	225	14	�	�	PROPN
cana-1625	225	15	̈	̈	X
cana-1625	225	16	�	�	NOUN
cana-1625	225	17	𝜂	𝜂	PROPN
cana-1625	225	18	,	,	PUNCT
cana-1625	225	19	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	225	20	)	)	PUNCT
cana-1625	225	21	≤	≤	NOUN
cana-1625	225	22	𝔖(𝔏𝜁	𝔖(𝔏𝜁	NUM
cana-1625	225	23	,	,	PUNCT
cana-1625	225	24	𝔚𝜂	𝔚𝜂	NOUN
cana-1625	225	25	,	,	PUNCT
cana-1625	226	1	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	226	2	𝔖(	𝔖(	ADJ
cana-1625	226	3	�	�	PROPN
cana-1625	226	4	̈	̈	X
cana-1625	226	5	�	�	PROPN
cana-1625	226	6	𝜁	𝜁	PROPN
cana-1625	226	7	,	,	PUNCT
cana-1625	226	8	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	226	9	,	,	PUNCT
cana-1625	226	10	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	226	11	𝔖(	𝔖(	ADJ
cana-1625	226	12	�	�	NOUN
cana-1625	226	13	̈	̈	X
cana-1625	226	14	�	�	NOUN
cana-1625	226	15	𝜂	𝜂	PROPN
cana-1625	226	16	,	,	PUNCT
cana-1625	226	17	𝔚𝜂	𝔚𝜂	NOUN
cana-1625	226	18	,	,	PUNCT
cana-1625	226	19	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	226	20	�	�	PROPN
cana-1625	226	21	̈	̈	SYM
cana-1625	226	22	�	�	PROPN
cana-1625	226	23	𝜁	𝜁	PROPN
cana-1625	226	24	,	,	PUNCT
cana-1625	226	25	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	226	26	,	,	PUNCT
cana-1625	226	27	𝜚	𝜚	NOUN
cana-1625	226	28	)	)	PUNCT
cana-1625	226	29	=	=	SYM
cana-1625	226	30	𝔖(	𝔖(	NOUN
cana-1625	226	31	�	�	PROPN
cana-1625	226	32	̈	̈	X
cana-1625	226	33	�	�	PROPN
cana-1625	226	34	𝜁	𝜁	PROPN
cana-1625	226	35	,	,	PUNCT
cana-1625	226	36	�	�	PROPN
cana-1625	226	37	̈	̈	X
cana-1625	226	38	�	�	NOUN
cana-1625	226	39	𝜂	𝜂	NOUN
cana-1625	226	40	,	,	PUNCT
cana-1625	226	41	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	226	42	𝔖(	𝔖(	ADJ
cana-1625	226	43	�	�	PROPN
cana-1625	226	44	̈	̈	X
cana-1625	226	45	�	�	PROPN
cana-1625	226	46	𝜁	𝜁	PROPN
cana-1625	226	47	,	,	PUNCT
cana-1625	226	48	�	�	PROPN
cana-1625	226	49	̈	̈	X
cana-1625	226	50	�	�	PROPN
cana-1625	226	51	𝜁	𝜁	PROPN
cana-1625	226	52	,	,	PUNCT
cana-1625	226	53	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	226	54	�	�	PROPN
cana-1625	226	55	̈	̈	X
cana-1625	226	56	�	�	NOUN
cana-1625	226	57	𝜂	𝜂	PROPN
cana-1625	226	58	,	,	PUNCT
cana-1625	226	59	�	�	NOUN
cana-1625	226	60	̈	̈	X
cana-1625	226	61	�	�	NOUN
cana-1625	226	62	𝜂	𝜂	PROPN
cana-1625	226	63	,	,	PUNCT
cana-1625	226	64	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	226	65	�	�	PROPN
cana-1625	226	66	̈	̈	SYM
cana-1625	226	67	�	�	PROPN
cana-1625	226	68	𝜁	𝜁	PROPN
cana-1625	226	69	,	,	PUNCT
cana-1625	226	70	�	�	PROPN
cana-1625	226	71	̈	̈	X
cana-1625	226	72	�	�	NOUN
cana-1625	226	73	𝜂	𝜂	PROPN
cana-1625	226	74	,	,	PUNCT
cana-1625	226	75	𝜚	𝜚	NOUN
cana-1625	226	76	)	)	PUNCT
cana-1625	226	77	=	=	SYM
cana-1625	226	78	𝔖(	𝔖(	NOUN
cana-1625	226	79	�	�	PROPN
cana-1625	226	80	̈	̈	X
cana-1625	226	81	�	�	PROPN
cana-1625	226	82	𝜁	𝜁	PROPN
cana-1625	226	83	,	,	PUNCT
cana-1625	226	84	𝔅	𝔅	PROPN
cana-1625	226	85	�	�	PROPN
cana-1625	226	86	̈	̈	SYM
cana-1625	226	87	�	�	PROPN
cana-1625	226	88	,	,	PUNCT
cana-1625	226	89	𝜚)⨀0⨀0⨀𝔖(	𝜚)⨀0⨀0⨀𝔖(	X
cana-1625	226	90	�	�	PROPN
cana-1625	226	91	̈	̈	SYM
cana-1625	226	92	�	�	PROPN
cana-1625	226	93	𝜁	𝜁	PROPN
cana-1625	226	94	,	,	PUNCT
cana-1625	226	95	�	�	PROPN
cana-1625	226	96	̈	̈	X
cana-1625	226	97	�	�	NOUN
cana-1625	226	98	𝜂	𝜂	PROPN
cana-1625	226	99	,	,	PUNCT
cana-1625	226	100	𝜚	𝜚	NOUN
cana-1625	226	101	)	)	PUNCT
cana-1625	226	102	=	=	SYM
cana-1625	226	103	𝔖(	𝔖(	NOUN
cana-1625	226	104	�	�	PROPN
cana-1625	226	105	̈	̈	X
cana-1625	226	106	�	�	PROPN
cana-1625	226	107	𝜁	𝜁	PROPN
cana-1625	226	108	,	,	PUNCT
cana-1625	226	109	𝔅	𝔅	PROPN
cana-1625	226	110	�	�	PROPN
cana-1625	226	111	̈	̈	SYM
cana-1625	226	112	�	�	PROPN
cana-1625	226	113	,	,	PUNCT
cana-1625	226	114	𝜚	𝜚	NOUN
cana-1625	226	115	)	)	PUNCT
cana-1625	226	116	=	=	SYM
cana-1625	226	117	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	226	118	,	,	PUNCT
cana-1625	226	119	𝜂	𝜂	PROPN
cana-1625	226	120	,	,	PUNCT
cana-1625	226	121	𝜚	𝜚	NOUN
cana-1625	226	122	)	)	PUNCT
cana-1625	226	123	and	and	CCONJ
cana-1625	226	124	𝔗(𝜁	𝔗(𝜁	ADV
cana-1625	226	125	,	,	PUNCT
cana-1625	226	126	𝜂	𝜂	NOUN
cana-1625	226	127	,	,	PUNCT
cana-1625	226	128	𝔡𝜚)=	𝔡𝜚)=	NOUN
cana-1625	226	129	𝔗(	𝔗(	ADJ
cana-1625	226	130	�	�	PROPN
cana-1625	226	131	̈	̈	SYM
cana-1625	226	132	�	�	PROPN
cana-1625	226	133	𝜁	𝜁	PROPN
cana-1625	226	134	,	,	PUNCT
cana-1625	226	135	�	�	PROPN
cana-1625	226	136	̈	̈	X
cana-1625	226	137	�	�	NOUN
cana-1625	226	138	𝜂	𝜂	PROPN
cana-1625	226	139	,	,	PUNCT
cana-1625	226	140	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	226	141	)	)	PUNCT
cana-1625	226	142	≤	≤	NOUN
cana-1625	226	143	𝔗(𝔏𝜁	𝔗(𝔏𝜁	PROPN
cana-1625	226	144	,	,	PUNCT
cana-1625	226	145	𝔚𝜂	𝔚𝜂	NOUN
cana-1625	226	146	,	,	PUNCT
cana-1625	226	147	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	226	148	𝔗(	𝔗(	ADJ
cana-1625	226	149	�	�	NOUN
cana-1625	226	150	̈	̈	SYM
cana-1625	226	151	�	�	PROPN
cana-1625	226	152	𝜁	𝜁	PROPN
cana-1625	226	153	,	,	PUNCT
cana-1625	226	154	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	226	155	,	,	PUNCT
cana-1625	226	156	𝜚)⨀	𝜚)⨀	NOUN
cana-1625	226	157	𝔗(	𝔗(	ADJ
cana-1625	226	158	�	�	NOUN
cana-1625	226	159	̈	̈	SYM
cana-1625	226	160	�	�	NOUN
cana-1625	226	161	𝜂	𝜂	PROPN
cana-1625	226	162	,	,	PUNCT
cana-1625	226	163	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	226	164	,	,	PUNCT
cana-1625	226	165	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	226	166	�	�	PROPN
cana-1625	226	167	̈	̈	SYM
cana-1625	226	168	�	�	PROPN
cana-1625	226	169	𝜁	𝜁	PROPN
cana-1625	226	170	,	,	PUNCT
cana-1625	226	171	𝔚𝜂	𝔚𝜂	PROPN
cana-1625	226	172	,	,	PUNCT
cana-1625	226	173	𝜚	𝜚	NOUN
cana-1625	226	174	)	)	PUNCT
cana-1625	227	1	=	=	SYM
cana-1625	227	2	𝔗(	𝔗(	ADJ
cana-1625	227	3	�	�	PROPN
cana-1625	227	4	̈	̈	SYM
cana-1625	227	5	�	�	PROPN
cana-1625	227	6	𝜁	𝜁	PROPN
cana-1625	227	7	,	,	PUNCT
cana-1625	227	8	�	�	PROPN
cana-1625	227	9	̈	̈	X
cana-1625	227	10	�	�	NOUN
cana-1625	227	11	𝜂	𝜂	NOUN
cana-1625	227	12	,	,	PUNCT
cana-1625	227	13	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	227	14	𝔗(	𝔗(	ADJ
cana-1625	227	15	�	�	NOUN
cana-1625	227	16	̈	̈	SYM
cana-1625	227	17	�	�	PROPN
cana-1625	227	18	𝜁	𝜁	PROPN
cana-1625	227	19	,	,	PUNCT
cana-1625	227	20	�	�	PROPN
cana-1625	227	21	̈	̈	X
cana-1625	227	22	�	�	SYM
cana-1625	227	23	𝜁	𝜁	PROPN
cana-1625	227	24	,	,	PUNCT
cana-1625	227	25	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	227	26	�	�	PROPN
cana-1625	227	27	̈	̈	X
cana-1625	227	28	�	�	NOUN
cana-1625	227	29	𝜂	𝜂	PROPN
cana-1625	227	30	,	,	PUNCT
cana-1625	227	31	�	�	NOUN
cana-1625	227	32	̈	̈	X
cana-1625	227	33	�	�	NOUN
cana-1625	227	34	𝜂	𝜂	PROPN
cana-1625	227	35	,	,	PUNCT
cana-1625	227	36	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	227	37	�	�	PROPN
cana-1625	227	38	̈	̈	SYM
cana-1625	227	39	�	�	PROPN
cana-1625	227	40	𝜁	𝜁	PROPN
cana-1625	227	41	,	,	PUNCT
cana-1625	227	42	�	�	PROPN
cana-1625	227	43	̈	̈	X
cana-1625	227	44	�	�	NOUN
cana-1625	227	45	𝜂	𝜂	PROPN
cana-1625	227	46	,	,	PUNCT
cana-1625	227	47	𝜚	𝜚	NOUN
cana-1625	227	48	)	)	PUNCT
cana-1625	227	49	=	=	SYM
cana-1625	227	50	𝔗(	𝔗(	ADJ
cana-1625	227	51	�	�	PROPN
cana-1625	227	52	̈	̈	SYM
cana-1625	227	53	�	�	PROPN
cana-1625	227	54	𝜁	𝜁	PROPN
cana-1625	227	55	,	,	PUNCT
cana-1625	227	56	𝔅	𝔅	PROPN
cana-1625	227	57	�	�	PROPN
cana-1625	227	58	̈	̈	SYM
cana-1625	227	59	�	�	PROPN
cana-1625	227	60	,	,	PUNCT
cana-1625	227	61	𝜚)⨀0⨀0⨀𝔗(	𝜚)⨀0⨀0⨀𝔗(	X
cana-1625	227	62	�	�	PROPN
cana-1625	227	63	̈	̈	SYM
cana-1625	227	64	�	�	PROPN
cana-1625	227	65	𝜁	𝜁	PROPN
cana-1625	227	66	,	,	PUNCT
cana-1625	227	67	�	�	PROPN
cana-1625	227	68	̈	̈	X
cana-1625	227	69	�	�	NOUN
cana-1625	227	70	𝜂	𝜂	PROPN
cana-1625	227	71	,	,	PUNCT
cana-1625	227	72	𝜚	𝜚	NOUN
cana-1625	227	73	)	)	PUNCT
cana-1625	227	74	=	=	SYM
cana-1625	227	75	𝔗(	𝔗(	ADJ
cana-1625	227	76	�	�	PROPN
cana-1625	227	77	̈	̈	SYM
cana-1625	227	78	�	�	PROPN
cana-1625	227	79	𝜁	𝜁	PROPN
cana-1625	227	80	,	,	PUNCT
cana-1625	227	81	𝔅	𝔅	PROPN
cana-1625	227	82	�	�	PROPN
cana-1625	227	83	̈	̈	SYM
cana-1625	227	84	�	�	PROPN
cana-1625	227	85	,	,	PUNCT
cana-1625	227	86	𝜚	𝜚	NOUN
cana-1625	227	87	)	)	PUNCT
cana-1625	227	88	=	=	PUNCT
cana-1625	227	89	𝔗(𝜁	𝔗(𝜁	PROPN
cana-1625	227	90	,	,	PUNCT
cana-1625	227	91	𝜂	𝜂	PROPN
cana-1625	227	92	,	,	PUNCT
cana-1625	227	93	𝜚	𝜚	NOUN
cana-1625	227	94	)	)	PUNCT
cana-1625	227	95	.	.	PUNCT
cana-1625	228	1	by	by	ADP
cana-1625	228	2	lemma	lemma	PROPN
cana-1625	228	3	(	(	PUNCT
cana-1625	228	4	2.10	2.10	NUM
cana-1625	228	5	)	)	PUNCT
cana-1625	228	6	,	,	PUNCT
cana-1625	228	7	we	we	PRON
cana-1625	228	8	have	have	VERB
cana-1625	228	9	𝜁	𝜁	NOUN
cana-1625	228	10	=	=	SYM
cana-1625	228	11	𝜂	𝜂	NOUN
cana-1625	228	12	and	and	CCONJ
cana-1625	228	13	consequently	consequently	ADV
cana-1625	228	14	𝜁	𝜁	PROPN
cana-1625	228	15	is	be	AUX
cana-1625	228	16	common	common	ADJ
cana-1625	228	17	fixed	fix	VERB
cana-1625	228	18	point	point	NOUN
cana-1625	228	19	of	of	ADP
cana-1625	228	20	𝔄,̈	𝔄,̈	PROPN
cana-1625	228	21	�	�	PROPN
cana-1625	228	22	̈	̈	X
cana-1625	228	23	�	�	PROPN
cana-1625	228	24	,	,	PUNCT
cana-1625	228	25	𝔏	𝔏	PROPN
cana-1625	228	26	and	and	CCONJ
cana-1625	228	27	𝔚.	𝔚.	NOUN
cana-1625	228	28	for	for	ADP
cana-1625	228	29	uniqueness	uniqueness	NOUN
cana-1625	228	30	,	,	PUNCT
cana-1625	228	31	let	let	VERB
cana-1625	228	32	𝜏	𝜏	PRON
cana-1625	228	33	is	be	AUX
cana-1625	228	34	an	an	DET
cana-1625	228	35	another	another	DET
cana-1625	228	36	common	common	ADJ
cana-1625	228	37	fixed	fix	VERB
cana-1625	228	38	point	point	NOUN
cana-1625	228	39	of	of	ADP
cana-1625	228	40	𝔄,̈	𝔄,̈	PROPN
cana-1625	228	41	�	�	PROPN
cana-1625	228	42	̈	̈	X
cana-1625	228	43	�	�	PROPN
cana-1625	228	44	,	,	PUNCT
cana-1625	228	45	𝔏	𝔏	PROPN
cana-1625	228	46	and	and	CCONJ
cana-1625	228	47	𝔚.	𝔚.	PROPN
cana-1625	228	48	therefore	therefore	ADV
cana-1625	228	49	,	,	PUNCT
cana-1625	228	50	communications	communication	NOUN
cana-1625	228	51	on	on	ADP
cana-1625	228	52	applied	apply	VERB
cana-1625	228	53	nonlinear	nonlinear	ADJ
cana-1625	228	54	analysis	analysis	NOUN
cana-1625	228	55	issn	issn	NOUN
cana-1625	228	56	:	:	PUNCT
cana-1625	228	57	1074	1074	NUM
cana-1625	228	58	-	-	PUNCT
cana-1625	228	59	133x	133x	NUM
cana-1625	228	60	vol	vol	NOUN
cana-1625	228	61	32	32	NUM
cana-1625	228	62	no	no	NOUN
cana-1625	228	63	.	.	NOUN
cana-1625	228	64	1	1	NUM
cana-1625	228	65	(	(	PUNCT
cana-1625	228	66	2025	2025	NUM
cana-1625	228	67	)	)	PUNCT
cana-1625	228	68	124	124	NUM
cana-1625	228	69	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	228	70	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	228	71	,	,	PUNCT
cana-1625	228	72	𝜏	𝜏	NOUN
cana-1625	228	73	,	,	PUNCT
cana-1625	228	74	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	228	75	)	)	PUNCT
cana-1625	228	76	=	=	SYM
cana-1625	228	77	ℜ(	ℜ(	X
cana-1625	228	78	�	�	PROPN
cana-1625	228	79	̈	̈	X
cana-1625	228	80	�	�	PROPN
cana-1625	228	81	𝜁	𝜁	PROPN
cana-1625	228	82	,	,	PUNCT
cana-1625	228	83	�	�	PROPN
cana-1625	228	84	̈	̈	X
cana-1625	228	85	�	�	NOUN
cana-1625	228	86	𝜏	𝜏	NOUN
cana-1625	228	87	,	,	PUNCT
cana-1625	228	88	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	228	89	)	)	PUNCT
cana-1625	228	90	≥	≥	NOUN
cana-1625	228	91	ℜ(𝔏𝜁	ℜ(𝔏𝜁	NUM
cana-1625	228	92	,	,	PUNCT
cana-1625	228	93	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	228	94	,	,	PUNCT
cana-1625	228	95	𝜚	𝜚	NOUN
cana-1625	228	96	)	)	PUNCT
cana-1625	228	97	∗	∗	NOUN
cana-1625	228	98	ℜ(	ℜ(	X
cana-1625	228	99	�	�	PROPN
cana-1625	228	100	̈	̈	X
cana-1625	228	101	�	�	PROPN
cana-1625	228	102	𝜁	𝜁	PROPN
cana-1625	228	103	,	,	PUNCT
cana-1625	228	104	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	228	105	,	,	PUNCT
cana-1625	228	106	𝜚	𝜚	NOUN
cana-1625	228	107	)	)	PUNCT
cana-1625	228	108	∗	∗	NOUN
cana-1625	228	109	ℜ(	ℜ(	X
cana-1625	228	110	�	�	PROPN
cana-1625	228	111	̈	̈	X
cana-1625	228	112	�	�	PROPN
cana-1625	228	113	𝜏	𝜏	NOUN
cana-1625	228	114	,	,	PUNCT
cana-1625	228	115	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	228	116	,	,	PUNCT
cana-1625	228	117	𝜚	𝜚	NOUN
cana-1625	228	118	)	)	PUNCT
cana-1625	228	119	∗	∗	NOUN
cana-1625	228	120	ℜ(	ℜ(	X
cana-1625	228	121	�	�	PROPN
cana-1625	228	122	̈	̈	X
cana-1625	228	123	�	�	PROPN
cana-1625	228	124	𝜁	𝜁	PROPN
cana-1625	228	125	,	,	PUNCT
cana-1625	228	126	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	228	127	,	,	PUNCT
cana-1625	228	128	𝜚	𝜚	NOUN
cana-1625	228	129	)	)	PUNCT
cana-1625	228	130	=	=	SYM
cana-1625	229	1	ℜ(𝜁	ℜ(𝜁	X
cana-1625	229	2	,	,	PUNCT
cana-1625	229	3	𝜏	𝜏	NOUN
cana-1625	229	4	,	,	PUNCT
cana-1625	229	5	𝜚	𝜚	NOUN
cana-1625	229	6	)	)	PUNCT
cana-1625	229	7	∗	∗	NOUN
cana-1625	229	8	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	229	9	,	,	PUNCT
cana-1625	229	10	𝜁	𝜁	PROPN
cana-1625	229	11	,	,	PUNCT
cana-1625	229	12	𝜚	𝜚	NOUN
cana-1625	229	13	)	)	PUNCT
cana-1625	229	14	∗	∗	NOUN
cana-1625	229	15	ℜ(𝜏	ℜ(𝜏	NUM
cana-1625	229	16	,	,	PUNCT
cana-1625	229	17	𝜏	𝜏	NOUN
cana-1625	229	18	,	,	PUNCT
cana-1625	229	19	𝜚	𝜚	NOUN
cana-1625	229	20	)	)	PUNCT
cana-1625	229	21	∗	∗	NOUN
cana-1625	229	22	ℜ(𝜁	ℜ(𝜁	PROPN
cana-1625	229	23	,	,	PUNCT
cana-1625	229	24	𝜏	𝜏	NOUN
cana-1625	229	25	,	,	PUNCT
cana-1625	229	26	𝜚	𝜚	NOUN
cana-1625	229	27	)	)	PUNCT
cana-1625	229	28	=	=	SYM
cana-1625	230	1	ℜ(𝜁	ℜ(𝜁	X
cana-1625	230	2	,	,	PUNCT
cana-1625	230	3	𝜏	𝜏	NOUN
cana-1625	230	4	,	,	PUNCT
cana-1625	230	5	𝜚	𝜚	NOUN
cana-1625	230	6	)	)	PUNCT
cana-1625	230	7	∗	∗	NOUN
cana-1625	230	8	1	1	NUM
cana-1625	230	9	∗	∗	NOUN
cana-1625	230	10	1	1	NUM
cana-1625	230	11	∗	∗	NOUN
cana-1625	230	12	ℜ(𝜁	ℜ(𝜁	NUM
cana-1625	230	13	,	,	PUNCT
cana-1625	230	14	𝜏	𝜏	NOUN
cana-1625	230	15	,	,	PUNCT
cana-1625	230	16	𝜚	𝜚	NOUN
cana-1625	230	17	)	)	PUNCT
cana-1625	230	18	=	=	SYM
cana-1625	231	1	ℜ(𝜁	ℜ(𝜁	X
cana-1625	231	2	,	,	PUNCT
cana-1625	231	3	𝜏	𝜏	NOUN
cana-1625	231	4	,	,	PUNCT
cana-1625	231	5	𝜚	𝜚	NOUN
cana-1625	231	6	)	)	PUNCT
cana-1625	231	7	.	.	PUNCT
cana-1625	232	1	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	232	2	,	,	PUNCT
cana-1625	232	3	𝜏	𝜏	NOUN
cana-1625	232	4	,	,	PUNCT
cana-1625	232	5	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	232	6	)	)	PUNCT
cana-1625	232	7	=	=	SYM
cana-1625	232	8	𝔖(	𝔖(	NOUN
cana-1625	232	9	�	�	PROPN
cana-1625	232	10	̈	̈	X
cana-1625	232	11	�	�	PROPN
cana-1625	232	12	𝜁	𝜁	PROPN
cana-1625	232	13	,	,	PUNCT
cana-1625	232	14	�	�	PROPN
cana-1625	232	15	̈	̈	X
cana-1625	232	16	�	�	NOUN
cana-1625	232	17	𝜏	𝜏	NOUN
cana-1625	232	18	,	,	PUNCT
cana-1625	232	19	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	232	20	)	)	PUNCT
cana-1625	232	21	≤	≤	NOUN
cana-1625	232	22	𝔖(𝔏𝜁	𝔖(𝔏𝜁	NUM
cana-1625	232	23	,	,	PUNCT
cana-1625	232	24	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	25	,	,	PUNCT
cana-1625	232	26	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	232	27	�	�	PROPN
cana-1625	232	28	̈	̈	SYM
cana-1625	232	29	�	�	PROPN
cana-1625	232	30	𝜁	𝜁	PROPN
cana-1625	232	31	,	,	PUNCT
cana-1625	232	32	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	232	33	,	,	PUNCT
cana-1625	232	34	𝜚)⨀𝔖(	𝜚)⨀𝔖(	NOUN
cana-1625	232	35	�	�	PROPN
cana-1625	232	36	̈	̈	X
cana-1625	232	37	�	�	PROPN
cana-1625	232	38	𝜏	𝜏	NOUN
cana-1625	232	39	,	,	PUNCT
cana-1625	232	40	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	41	,	,	PUNCT
cana-1625	232	42	𝜚)⨀𝔖(	𝜚)⨀𝔖(	ADJ
cana-1625	232	43	�	�	PROPN
cana-1625	232	44	̈	̈	SYM
cana-1625	232	45	�	�	PROPN
cana-1625	232	46	𝜁	𝜁	PROPN
cana-1625	232	47	,	,	PUNCT
cana-1625	232	48	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	49	,	,	PUNCT
cana-1625	232	50	𝜚	𝜚	NOUN
cana-1625	232	51	)	)	PUNCT
cana-1625	232	52	=	=	SYM
cana-1625	232	53	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	232	54	,	,	PUNCT
cana-1625	232	55	𝜏	𝜏	NOUN
cana-1625	232	56	,	,	PUNCT
cana-1625	232	57	𝜚)⨀𝔖(𝜁	𝜚)⨀𝔖(𝜁	PROPN
cana-1625	232	58	,	,	PUNCT
cana-1625	232	59	𝜁	𝜁	PROPN
cana-1625	232	60	,	,	PUNCT
cana-1625	232	61	𝜚)⨀𝔖(𝜏	𝜚)⨀𝔖(𝜏	PROPN
cana-1625	232	62	,	,	PUNCT
cana-1625	232	63	𝜏	𝜏	NOUN
cana-1625	232	64	,	,	PUNCT
cana-1625	232	65	𝜚)⨀𝔖(𝜁	𝜚)⨀𝔖(𝜁	PROPN
cana-1625	232	66	,	,	PUNCT
cana-1625	232	67	𝜏	𝜏	NOUN
cana-1625	232	68	,	,	PUNCT
cana-1625	232	69	𝜚	𝜚	NOUN
cana-1625	232	70	)	)	PUNCT
cana-1625	232	71	=	=	SYM
cana-1625	232	72	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	232	73	,	,	PUNCT
cana-1625	232	74	𝜏	𝜏	NOUN
cana-1625	232	75	,	,	PUNCT
cana-1625	232	76	𝜚)⨀0⨀0⨀𝔖(𝜁	𝜚)⨀0⨀0⨀𝔖(𝜁	NOUN
cana-1625	232	77	,	,	PUNCT
cana-1625	232	78	𝜏	𝜏	NOUN
cana-1625	232	79	,	,	PUNCT
cana-1625	232	80	𝜚	𝜚	NOUN
cana-1625	232	81	)	)	PUNCT
cana-1625	232	82	=	=	SYM
cana-1625	232	83	𝔖(𝜁	𝔖(𝜁	NUM
cana-1625	232	84	,	,	PUNCT
cana-1625	232	85	𝜏	𝜏	NOUN
cana-1625	232	86	,	,	PUNCT
cana-1625	232	87	𝜚	𝜚	NOUN
cana-1625	232	88	)	)	PUNCT
cana-1625	232	89	and	and	CCONJ
cana-1625	232	90	𝔗(𝜁	𝔗(𝜁	ADV
cana-1625	232	91	,	,	PUNCT
cana-1625	232	92	𝜏	𝜏	NOUN
cana-1625	232	93	,	,	PUNCT
cana-1625	232	94	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	232	95	)	)	PUNCT
cana-1625	232	96	=	=	SYM
cana-1625	232	97	𝔗(	𝔗(	ADJ
cana-1625	232	98	�	�	PROPN
cana-1625	232	99	̈	̈	SYM
cana-1625	232	100	�	�	PROPN
cana-1625	232	101	𝜁	𝜁	PROPN
cana-1625	232	102	,	,	PUNCT
cana-1625	232	103	�	�	PROPN
cana-1625	232	104	̈	̈	X
cana-1625	232	105	�	�	NOUN
cana-1625	232	106	𝜏	𝜏	NOUN
cana-1625	232	107	,	,	PUNCT
cana-1625	232	108	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	232	109	)	)	PUNCT
cana-1625	232	110	≤	≤	NOUN
cana-1625	232	111	𝔗(𝔏𝜁	𝔗(𝔏𝜁	NUM
cana-1625	232	112	,	,	PUNCT
cana-1625	232	113	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	114	,	,	PUNCT
cana-1625	232	115	𝜚)⨀	𝜚)⨀	ADJ
cana-1625	232	116	𝔗(	𝔗(	ADJ
cana-1625	232	117	�	�	NOUN
cana-1625	232	118	̈	̈	SYM
cana-1625	232	119	�	�	PROPN
cana-1625	232	120	𝜁	𝜁	PROPN
cana-1625	232	121	,	,	PUNCT
cana-1625	232	122	𝔏𝜁	𝔏𝜁	PROPN
cana-1625	232	123	,	,	PUNCT
cana-1625	232	124	𝜚)⨀	𝜚)⨀	NOUN
cana-1625	232	125	𝔗(	𝔗(	ADJ
cana-1625	232	126	�	�	NOUN
cana-1625	232	127	̈	̈	X
cana-1625	232	128	�	�	NOUN
cana-1625	232	129	𝜏	𝜏	NOUN
cana-1625	232	130	,	,	PUNCT
cana-1625	232	131	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	132	,	,	PUNCT
cana-1625	232	133	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	232	134	�	�	PROPN
cana-1625	232	135	̈	̈	SYM
cana-1625	232	136	�	�	PROPN
cana-1625	232	137	𝜁	𝜁	PROPN
cana-1625	232	138	,	,	PUNCT
cana-1625	232	139	𝔚𝜏	𝔚𝜏	PROPN
cana-1625	232	140	,	,	PUNCT
cana-1625	232	141	𝜚	𝜚	NOUN
cana-1625	232	142	)	)	PUNCT
cana-1625	232	143	=	=	PUNCT
cana-1625	233	1	𝔗(𝜁	𝔗(𝜁	ADJ
cana-1625	233	2	,	,	PUNCT
cana-1625	233	3	𝜏	𝜏	NOUN
cana-1625	233	4	,	,	PUNCT
cana-1625	233	5	𝜚)⨀	𝜚)⨀	NOUN
cana-1625	233	6	𝔗(𝜁	𝔗(𝜁	NUM
cana-1625	233	7	,	,	PUNCT
cana-1625	233	8	𝜁	𝜁	PROPN
cana-1625	233	9	,	,	PUNCT
cana-1625	233	10	𝜚)⨀	𝜚)⨀	NOUN
cana-1625	233	11	𝔗(𝜏	𝔗(𝜏	NUM
cana-1625	233	12	,	,	PUNCT
cana-1625	233	13	𝜏	𝜏	NOUN
cana-1625	233	14	,	,	PUNCT
cana-1625	233	15	𝜚)⨀𝔗(𝜁	𝜚)⨀𝔗(𝜁	ADV
cana-1625	233	16	,	,	PUNCT
cana-1625	233	17	𝜏	𝜏	NOUN
cana-1625	233	18	,	,	PUNCT
cana-1625	233	19	𝜚	𝜚	NOUN
cana-1625	233	20	)	)	PUNCT
cana-1625	233	21	=	=	PUNCT
cana-1625	233	22	𝔗(𝜁	𝔗(𝜁	ADJ
cana-1625	233	23	,	,	PUNCT
cana-1625	233	24	𝜏	𝜏	NOUN
cana-1625	233	25	,	,	PUNCT
cana-1625	233	26	𝜚)⨀0⨀0⨀	𝜚)⨀0⨀0⨀	NOUN
cana-1625	233	27	𝔗(𝜁	𝔗(𝜁	ADJ
cana-1625	233	28	,	,	PUNCT
cana-1625	233	29	𝜏	𝜏	NOUN
cana-1625	233	30	,	,	PUNCT
cana-1625	233	31	𝜚	𝜚	NOUN
cana-1625	233	32	)	)	PUNCT
cana-1625	233	33	=	=	PUNCT
cana-1625	233	34	𝔗(𝜁	𝔗(𝜁	ADJ
cana-1625	233	35	,	,	PUNCT
cana-1625	233	36	𝜏	𝜏	NOUN
cana-1625	233	37	,	,	PUNCT
cana-1625	233	38	𝜚	𝜚	NOUN
cana-1625	233	39	)	)	PUNCT
cana-1625	233	40	.	.	PUNCT
cana-1625	234	1	in	in	ADP
cana-1625	234	2	view	view	NOUN
cana-1625	234	3	of	of	ADP
cana-1625	234	4	lemma	lemma	PROPN
cana-1625	234	5	(	(	PUNCT
cana-1625	234	6	2.10	2.10	NUM
cana-1625	234	7	)	)	PUNCT
cana-1625	234	8	,	,	PUNCT
cana-1625	234	9	we	we	PRON
cana-1625	234	10	have	have	VERB
cana-1625	234	11	𝜁	𝜁	NOUN
cana-1625	234	12	=	=	PUNCT
cana-1625	234	13	𝜏.	𝜏.	NOUN
cana-1625	234	14	hence	hence	ADV
cana-1625	234	15	𝔄,̈	𝔄,̈	PROPN
cana-1625	234	16	�	�	PROPN
cana-1625	234	17	̈	̈	X
cana-1625	234	18	�	�	PROPN
cana-1625	234	19	,	,	PUNCT
cana-1625	234	20	𝔏	𝔏	PROPN
cana-1625	234	21	and	and	CCONJ
cana-1625	234	22	𝔚	𝔚	PROPN
cana-1625	234	23	have	have	VERB
cana-1625	234	24	a	a	DET
cana-1625	234	25	unique	unique	ADJ
cana-1625	234	26	common	common	ADJ
cana-1625	234	27	fixed	fix	VERB
cana-1625	234	28	point	point	NOUN
cana-1625	234	29	.	.	PUNCT
cana-1625	235	1	example	example	NOUN
cana-1625	235	2	3.8	3.8	NUM
cana-1625	235	3	:	:	PUNCT
cana-1625	235	4	let	let	VERB
cana-1625	235	5	ξ	ξ	X
cana-1625	235	6	=	=	SYM
cana-1625	235	7	ℝ.	ℝ.	PROPN
cana-1625	235	8	consider	consider	VERB
cana-1625	235	9	the	the	DET
cana-1625	235	10	metric	metric	ADJ
cana-1625	235	11	𝒹(𝔨	𝒹(𝔨	NOUN
cana-1625	235	12	,	,	PUNCT
cana-1625	235	13	𝜍̃	𝜍̃	NOUN
cana-1625	235	14	)	)	PUNCT
cana-1625	235	15	=	=	PUNCT
cana-1625	236	1	|𝔨|	|𝔨|	NOUN
cana-1625	236	2	+	+	CCONJ
cana-1625	236	3	|𝜍̃|	|𝜍̃|	NOUN
cana-1625	236	4	,	,	PUNCT
cana-1625	236	5	for	for	ADP
cana-1625	236	6	all	all	DET
cana-1625	236	7	𝔨	𝔨	PROPN
cana-1625	236	8	≠	≠	PROPN
cana-1625	236	9	𝜍̃	𝜍̃	PROPN
cana-1625	236	10	and	and	CCONJ
cana-1625	236	11	𝒹(𝔨	𝒹(𝔨	NOUN
cana-1625	236	12	,	,	PUNCT
cana-1625	236	13	𝜍̃	𝜍̃	NOUN
cana-1625	236	14	)	)	PUNCT
cana-1625	236	15	=	=	SYM
cana-1625	236	16	0	0	NUM
cana-1625	236	17	,	,	PUNCT
cana-1625	236	18	for	for	ADP
cana-1625	236	19	𝔨	𝔨	PROPN
cana-1625	236	20	=	=	PUNCT
cana-1625	236	21	𝜍.̃	𝜍.̃	PROPN
cana-1625	236	22	let	let	VERB
cana-1625	236	23	𝔯	𝔯	PROPN
cana-1625	236	24	∗	∗	VERB
cana-1625	236	25	𝔰	𝔰	PRON
cana-1625	236	26	=	=	SYM
cana-1625	236	27	min	min	PROPN
cana-1625	236	28	{	{	PUNCT
cana-1625	236	29	𝔯	𝔯	PROPN
cana-1625	236	30	,	,	PUNCT
cana-1625	236	31	𝔰	𝔰	NOUN
cana-1625	236	32	}	}	PUNCT
cana-1625	236	33	and	and	CCONJ
cana-1625	236	34	𝔯⨀𝔰	𝔯⨀𝔰	NOUN
cana-1625	236	35	=	=	SYM
cana-1625	236	36	max{𝔯	max{𝔯	NOUN
cana-1625	236	37	,	,	PUNCT
cana-1625	236	38	𝔰	𝔰	NOUN
cana-1625	236	39	}	}	PUNCT
cana-1625	236	40	,	,	PUNCT
cana-1625	236	41	for	for	ADP
cana-1625	236	42	all	all	DET
cana-1625	236	43	𝔯	𝔯	PROPN
cana-1625	236	44	,	,	PUNCT
cana-1625	236	45	𝔰	𝔰	PROPN
cana-1625	236	46	∈	∈	PROPN
cana-1625	237	1	[	[	X
cana-1625	237	2	0,1	0,1	NUM
cana-1625	237	3	]	]	PUNCT
cana-1625	237	4	.	.	PUNCT
cana-1625	238	1	for	for	ADP
cana-1625	238	2	each	each	DET
cana-1625	238	3	𝜚	𝜚	NOUN
cana-1625	238	4	>	>	X
cana-1625	238	5	0	0	PROPN
cana-1625	238	6	,	,	PUNCT
cana-1625	238	7	𝔨	𝔨	PROPN
cana-1625	238	8	,	,	PUNCT
cana-1625	238	9	𝜍̃	𝜍̃	PROPN
cana-1625	238	10	∈	∈	PROPN
cana-1625	238	11	ξ	ξ	PROPN
cana-1625	238	12	,	,	PUNCT
cana-1625	238	13	we	we	PRON
cana-1625	238	14	define	define	VERB
cana-1625	238	15	ℜ(𝔨	ℜ(𝔨	NOUN
cana-1625	238	16	,	,	PUNCT
cana-1625	238	17	𝜍̃	𝜍̃	PROPN
cana-1625	238	18	,	,	PUNCT
cana-1625	238	19	𝜚	𝜚	NOUN
cana-1625	238	20	)	)	PUNCT
cana-1625	238	21	=	=	PUNCT
cana-1625	238	22	𝑒	𝑒	PROPN
cana-1625	238	23	−	−	PROPN
cana-1625	238	24	|𝔨−	|𝔨−	PROPN
cana-1625	238	25	�	�	PROPN
cana-1625	238	26	̃	̃	PROPN
cana-1625	238	27	�	�	PROPN
cana-1625	238	28	|	|	NOUN
cana-1625	238	29	𝜚	𝜚	NOUN
cana-1625	238	30	,	,	PUNCT
cana-1625	238	31	𝔖(𝔨	𝔖(𝔨	PRON
cana-1625	238	32	,	,	PUNCT
cana-1625	238	33	𝜍̃	𝜍̃	PROPN
cana-1625	238	34	,	,	PUNCT
cana-1625	238	35	𝜚	𝜚	NOUN
cana-1625	238	36	)	)	PUNCT
cana-1625	238	37	=	=	SYM
cana-1625	238	38	(	(	PUNCT
cana-1625	238	39	𝑒	𝑒	PROPN
cana-1625	238	40	|𝔨−	|𝔨−	PROPN
cana-1625	238	41	�	�	PROPN
cana-1625	238	42	̃	̃	PROPN
cana-1625	238	43	�	�	NOUN
cana-1625	238	44	|	|	NOUN
cana-1625	239	1	𝜚	𝜚	NOUN
cana-1625	239	2	−	−	PROPN
cana-1625	239	3	1)𝑒	1)𝑒	NUM
cana-1625	239	4	−	−	ADP
cana-1625	239	5	|𝔨−	|𝔨−	PROPN
cana-1625	239	6	�	�	SYM
cana-1625	239	7	̃	̃	PROPN
cana-1625	239	8	�	�	PROPN
cana-1625	239	9	|	|	ADJ
cana-1625	239	10	𝜚	𝜚	NOUN
cana-1625	239	11	and	and	CCONJ
cana-1625	239	12	𝔗(𝔨	𝔗(𝔨	NOUN
cana-1625	239	13	,	,	PUNCT
cana-1625	239	14	𝜍̃	𝜍̃	PROPN
cana-1625	239	15	,	,	PUNCT
cana-1625	239	16	𝜚	𝜚	NOUN
cana-1625	239	17	)	)	PUNCT
cana-1625	240	1	=	=	SYM
cana-1625	240	2	(	(	PUNCT
cana-1625	240	3	𝑒	𝑒	PROPN
cana-1625	240	4	|𝔨−	|𝔨−	PROPN
cana-1625	240	5	�	�	PROPN
cana-1625	240	6	̃	̃	PROPN
cana-1625	240	7	�	�	NOUN
cana-1625	240	8	|	|	NOUN
cana-1625	240	9	𝜚	𝜚	NOUN
cana-1625	240	10	−	−	NOUN
cana-1625	240	11	1	1	NUM
cana-1625	240	12	)	)	PUNCT
cana-1625	240	13	.	.	PUNCT
cana-1625	241	1	then	then	ADV
cana-1625	241	2	(	(	PUNCT
cana-1625	241	3	ξ	ξ	X
cana-1625	241	4	,	,	PUNCT
cana-1625	241	5	ℜ	ℜ	PROPN
cana-1625	241	6	,	,	PUNCT
cana-1625	241	7	𝔖	𝔖	PROPN
cana-1625	241	8	,	,	PUNCT
cana-1625	241	9	𝔗	𝔗	PROPN
cana-1625	241	10	∗	∗	NOUN
cana-1625	241	11	,	,	PUNCT
cana-1625	241	12	⨀	⨀	NOUN
cana-1625	241	13	)	)	PUNCT
cana-1625	241	14	is	be	AUX
cana-1625	241	15	a	a	DET
cana-1625	241	16	nms	nms	NOUN
cana-1625	241	17	with	with	ADP
cana-1625	241	18	lim	lim	PROPN
cana-1625	241	19	𝜚→∞	𝜚→∞	X
cana-1625	241	20	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	241	21	,	,	PUNCT
cana-1625	241	22	𝜍̃	𝜍̃	PROPN
cana-1625	241	23	,	,	PUNCT
cana-1625	241	24	𝜚	𝜚	NOUN
cana-1625	241	25	)	)	PUNCT
cana-1625	241	26	=	=	SYM
cana-1625	241	27	1	1	NUM
cana-1625	241	28	,	,	PUNCT
cana-1625	241	29	lim	lim	PROPN
cana-1625	241	30	𝜚→∞	𝜚→∞	X
cana-1625	241	31	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	241	32	,	,	PUNCT
cana-1625	241	33	𝜍̃	𝜍̃	PROPN
cana-1625	241	34	,	,	PUNCT
cana-1625	241	35	𝜚	𝜚	NOUN
cana-1625	241	36	)	)	PUNCT
cana-1625	242	1	=	=	SYM
cana-1625	242	2	0	0	PUNCT
cana-1625	242	3	and	and	CCONJ
cana-1625	242	4	lim	lim	PROPN
cana-1625	242	5	𝜚→∞	𝜚→∞	X
cana-1625	242	6	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	242	7	,	,	PUNCT
cana-1625	242	8	𝜍̃	𝜍̃	PROPN
cana-1625	242	9	,	,	PUNCT
cana-1625	242	10	𝜚	𝜚	NOUN
cana-1625	242	11	)	)	PUNCT
cana-1625	242	12	=	=	SYM
cana-1625	242	13	0	0	NUM
cana-1625	242	14	,	,	PUNCT
cana-1625	242	15	for	for	ADP
cana-1625	242	16	all	all	DET
cana-1625	242	17	𝔨	𝔨	PROPN
cana-1625	242	18	,	,	PUNCT
cana-1625	242	19	𝜍̃	𝜍̃	PROPN
cana-1625	242	20	∈	∈	PROPN
cana-1625	242	21	ξ	ξ	X
cana-1625	242	22	.	.	PUNCT
cana-1625	243	1	now	now	ADV
cana-1625	243	2	we	we	PRON
cana-1625	243	3	define	define	VERB
cana-1625	243	4	the	the	DET
cana-1625	243	5	self	self	NOUN
cana-1625	243	6	maps	map	NOUN
cana-1625	243	7	�	�	PROPN
cana-1625	243	8	̈	̈	X
cana-1625	243	9	�	�	PROPN
cana-1625	243	10	,	,	PUNCT
cana-1625	243	11	𝔅,̈	𝔅,̈	PROPN
cana-1625	243	12	𝔏	𝔏	PROPN
cana-1625	243	13	and	and	CCONJ
cana-1625	243	14	𝔚	𝔚	PROPN
cana-1625	243	15	on	on	ADP
cana-1625	243	16	ξ	ξ	PROPN
cana-1625	243	17	by	by	ADP
cana-1625	243	18	𝔄	𝔄	PROPN
cana-1625	243	19	̈	̈	PUNCT
cana-1625	243	20	(	(	PUNCT
cana-1625	243	21	𝔨	𝔨	NOUN
cana-1625	243	22	)	)	PUNCT
cana-1625	243	23	=	=	SYM
cana-1625	244	1	𝔨	𝔨	PROPN
cana-1625	244	2	10	10	NUM
cana-1625	244	3	,	,	PUNCT
cana-1625	244	4	�	�	PROPN
cana-1625	244	5	̈	̈	X
cana-1625	244	6	�	�	NOUN
cana-1625	244	7	(𝔨	(𝔨	NOUN
cana-1625	244	8	)	)	PUNCT
cana-1625	244	9	=	=	PUNCT
cana-1625	244	10	𝔨	𝔨	PROPN
cana-1625	244	11	15	15	NUM
cana-1625	244	12	,	,	PUNCT
cana-1625	244	13	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	244	14	)	)	PUNCT
cana-1625	244	15	=	=	SYM
cana-1625	244	16	𝔨	𝔨	PROPN
cana-1625	244	17	,	,	PUNCT
cana-1625	244	18	𝔚(𝔨	𝔚(𝔨	NOUN
cana-1625	244	19	)	)	PUNCT
cana-1625	244	20	=	=	SYM
cana-1625	244	21	𝔨	𝔨	PROPN
cana-1625	244	22	3	3	NUM
cana-1625	244	23	.	.	PUNCT
cana-1625	245	1	let	let	VERB
cana-1625	245	2	𝔡	𝔡	PRON
cana-1625	245	3	=	=	SYM
cana-1625	245	4	1	1	NUM
cana-1625	245	5	5	5	NUM
cana-1625	245	6	.	.	PUNCT
cana-1625	246	1	for	for	ADP
cana-1625	246	2	𝔨	𝔨	PROPN
cana-1625	246	3	≠	≠	PROPN
cana-1625	246	4	𝜍̃	𝜍̃	PROPN
cana-1625	246	5	,	,	PUNCT
cana-1625	246	6	ℜ	ℜ	PROPN
cana-1625	246	7	(	(	PUNCT
cana-1625	246	8	�	�	PROPN
cana-1625	246	9	̈	̈	X
cana-1625	246	10	�	�	PROPN
cana-1625	246	11	𝔨	𝔨	PROPN
cana-1625	246	12	,	,	PUNCT
cana-1625	246	13	�	�	PROPN
cana-1625	246	14	̈	̈	X
cana-1625	246	15	�	�	PROPN
cana-1625	246	16	𝜍̃	𝜍̃	PROPN
cana-1625	246	17	,	,	PUNCT
cana-1625	246	18	𝜚	𝜚	NOUN
cana-1625	246	19	5	5	NUM
cana-1625	246	20	)	)	PUNCT
cana-1625	246	21	=	=	SYM
cana-1625	246	22	𝑒	𝑒	PROPN
cana-1625	246	23	−5(|	−5(|	PROPN
cana-1625	246	24	�	�	PROPN
cana-1625	246	25	̈	̈	SYM
cana-1625	246	26	�	�	NOUN
cana-1625	246	27	𝔨|+|	𝔨|+|	VERB
cana-1625	246	28	�	�	PROPN
cana-1625	246	29	̈	̈	SYM
cana-1625	246	30	�	�	PROPN
cana-1625	246	31	�	�	PROPN
cana-1625	246	32	̃	̃	PROPN
cana-1625	246	33	�	�	NOUN
cana-1625	246	34	|	|	NOUN
cana-1625	246	35	)	)	PUNCT
cana-1625	246	36	𝜚	𝜚	NOUN
cana-1625	247	1	=	=	NOUN
cana-1625	247	2	𝑒	𝑒	X
cana-1625	247	3	−5(|	−5(|	NOUN
cana-1625	247	4	𝔨	𝔨	PROPN
cana-1625	247	5	10	10	NUM
cana-1625	247	6	|+|	|+|	NUM
cana-1625	247	7	𝔨	𝔨	PROPN
cana-1625	247	8	15	15	NUM
cana-1625	247	9	|	|	NOUN
cana-1625	247	10	)	)	PUNCT
cana-1625	247	11	𝜚	𝜚	NOUN
cana-1625	247	12	=	=	PUNCT
cana-1625	247	13	𝑒	𝑒	PART
cana-1625	247	14	−(|	−(|	NOUN
cana-1625	247	15	𝔨	𝔨	PROPN
cana-1625	247	16	2	2	NUM
cana-1625	247	17	|+|	|+|	NOUN
cana-1625	247	18	𝔨	𝔨	PROPN
cana-1625	247	19	3	3	NUM
cana-1625	247	20	|	|	NOUN
cana-1625	247	21	)	)	PUNCT
cana-1625	248	1	𝜚	𝜚	NOUN
cana-1625	248	2	≥	≥	NOUN
cana-1625	248	3	𝑒	𝑒	PROPN
cana-1625	248	4	−(|𝔨|+|	−(|𝔨|+|	NOUN
cana-1625	248	5	𝔨	𝔨	PROPN
cana-1625	248	6	3	3	NUM
cana-1625	248	7	|	|	NOUN
cana-1625	248	8	)	)	PUNCT
cana-1625	248	9	𝜚	𝜚	NOUN
cana-1625	248	10	=	=	PUNCT
cana-1625	248	11	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	248	12	,	,	PUNCT
cana-1625	248	13	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	248	14	,	,	PUNCT
cana-1625	248	15	𝜚	𝜚	NOUN
cana-1625	248	16	)	)	PUNCT
cana-1625	248	17	,	,	PUNCT
cana-1625	248	18	𝔖	𝔖	PROPN
cana-1625	248	19	(	(	PUNCT
cana-1625	248	20	�	�	PROPN
cana-1625	248	21	̈	̈	X
cana-1625	248	22	�	�	PROPN
cana-1625	248	23	𝔨	𝔨	PROPN
cana-1625	248	24	,	,	PUNCT
cana-1625	248	25	�	�	PROPN
cana-1625	248	26	̈	̈	X
cana-1625	248	27	�	�	PROPN
cana-1625	248	28	𝜍̃	𝜍̃	PROPN
cana-1625	248	29	,	,	PUNCT
cana-1625	248	30	𝜚	𝜚	NOUN
cana-1625	248	31	3	3	NUM
cana-1625	248	32	)	)	PUNCT
cana-1625	248	33	=	=	SYM
cana-1625	248	34	(	(	PUNCT
cana-1625	248	35	𝑒	𝑒	PROPN
cana-1625	248	36	5(|	5(|	NUM
cana-1625	248	37	�	�	PROPN
cana-1625	248	38	̈	̈	X
cana-1625	248	39	�	�	NOUN
cana-1625	248	40	𝔨|+|	𝔨|+|	VERB
cana-1625	248	41	�	�	PROPN
cana-1625	248	42	̈	̈	SYM
cana-1625	248	43	�	�	PROPN
cana-1625	248	44	�	�	PROPN
cana-1625	248	45	̃	̃	PROPN
cana-1625	248	46	�	�	NOUN
cana-1625	248	47	|	|	NOUN
cana-1625	248	48	)	)	PUNCT
cana-1625	248	49	𝜚	𝜚	NOUN
cana-1625	248	50	−	−	NOUN
cana-1625	248	51	1	1	NUM
cana-1625	248	52	)	)	PUNCT
cana-1625	248	53	=	=	SYM
cana-1625	248	54	(	(	PUNCT
cana-1625	248	55	𝑒	𝑒	PROPN
cana-1625	248	56	5(|	5(|	NOUN
cana-1625	248	57	𝔨	𝔨	PROPN
cana-1625	248	58	9	9	NUM
cana-1625	248	59	|+|	|+|	NUM
cana-1625	248	60	𝔨	𝔨	PROPN
cana-1625	248	61	12	12	NUM
cana-1625	248	62	|	|	NOUN
cana-1625	248	63	)	)	PUNCT
cana-1625	248	64	𝜚	𝜚	NOUN
cana-1625	248	65	−	−	PROPN
cana-1625	248	66	1)𝑒	1)𝑒	NUM
cana-1625	248	67	−3(|	−3(|	PROPN
cana-1625	248	68	𝔨	𝔨	PROPN
cana-1625	248	69	9	9	NUM
cana-1625	248	70	|+|	|+|	NUM
cana-1625	248	71	𝔨	𝔨	PROPN
cana-1625	248	72	12	12	NUM
cana-1625	248	73	|	|	NOUN
cana-1625	248	74	)	)	PUNCT
cana-1625	248	75	𝜚	𝜚	NOUN
cana-1625	248	76	=(	=(	ADV
cana-1625	248	77	𝑒	𝑒	PROPN
cana-1625	248	78	(	(	PUNCT
cana-1625	248	79	|	|	ADV
cana-1625	248	80	𝔨	𝔨	PROPN
cana-1625	248	81	2	2	NUM
cana-1625	248	82	|+|	|+|	NOUN
cana-1625	248	83	𝔨	𝔨	PROPN
cana-1625	248	84	3	3	NUM
cana-1625	248	85	|	|	NOUN
cana-1625	248	86	)	)	PUNCT
cana-1625	248	87	𝜚	𝜚	NOUN
cana-1625	248	88	−	−	PROPN
cana-1625	248	89	1)𝑒	1)𝑒	NUM
cana-1625	248	90	−(|	−(|	NOUN
cana-1625	249	1	𝔨	𝔨	PROPN
cana-1625	249	2	2	2	NUM
cana-1625	249	3	|+|	|+|	NUM
cana-1625	249	4	𝔨	𝔨	PROPN
cana-1625	249	5	3	3	NUM
cana-1625	249	6	|	|	NOUN
cana-1625	249	7	)	)	PUNCT
cana-1625	249	8	𝜚	𝜚	NOUN
cana-1625	249	9	≤	≤	NOUN
cana-1625	249	10	(	(	PUNCT
cana-1625	249	11	𝑒	𝑒	PROPN
cana-1625	249	12	(	(	PUNCT
cana-1625	249	13	|𝔨|+|	|𝔨|+|	PROPN
cana-1625	249	14	𝔨	𝔨	PROPN
cana-1625	249	15	3	3	NUM
cana-1625	249	16	|	|	NOUN
cana-1625	249	17	)	)	PUNCT
cana-1625	249	18	𝜚	𝜚	NOUN
cana-1625	249	19	1)𝑒	1)𝑒	NUM
cana-1625	249	20	−(|𝔨|+|	−(|𝔨|+|	NOUN
cana-1625	249	21	𝔨	𝔨	PROPN
cana-1625	249	22	3	3	NUM
cana-1625	249	23	|	|	NOUN
cana-1625	249	24	)	)	PUNCT
cana-1625	250	1	𝜚	𝜚	NOUN
cana-1625	250	2	=	=	SYM
cana-1625	250	3	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	250	4	,	,	PUNCT
cana-1625	250	5	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	250	6	,	,	PUNCT
cana-1625	250	7	𝜚	𝜚	NOUN
cana-1625	250	8	)	)	PUNCT
cana-1625	250	9	𝔗	𝔗	PROPN
cana-1625	250	10	(	(	PUNCT
cana-1625	250	11	�	�	PROPN
cana-1625	250	12	̈	̈	X
cana-1625	250	13	�	�	PROPN
cana-1625	250	14	𝔨	𝔨	PROPN
cana-1625	250	15	,	,	PUNCT
cana-1625	250	16	�	�	PROPN
cana-1625	250	17	̈	̈	X
cana-1625	250	18	�	�	PROPN
cana-1625	250	19	𝜍̃	𝜍̃	PROPN
cana-1625	250	20	,	,	PUNCT
cana-1625	250	21	𝜚	𝜚	NOUN
cana-1625	250	22	5	5	NUM
cana-1625	250	23	)	)	PUNCT
cana-1625	250	24	=	=	SYM
cana-1625	250	25	(	(	PUNCT
cana-1625	250	26	𝑒	𝑒	PROPN
cana-1625	250	27	5(|	5(|	NUM
cana-1625	250	28	�	�	PROPN
cana-1625	250	29	̈	̈	X
cana-1625	250	30	�	�	NOUN
cana-1625	250	31	𝔨|+|	𝔨|+|	VERB
cana-1625	250	32	�	�	PROPN
cana-1625	250	33	̈	̈	SYM
cana-1625	250	34	�	�	PROPN
cana-1625	250	35	�	�	PROPN
cana-1625	250	36	̃	̃	PROPN
cana-1625	250	37	�	�	NOUN
cana-1625	250	38	|	|	NOUN
cana-1625	250	39	)	)	PUNCT
cana-1625	251	1	𝜚	𝜚	NOUN
cana-1625	251	2	−	−	PROPN
cana-1625	251	3	1)=	1)=	NUM
cana-1625	251	4	(	(	PUNCT
cana-1625	251	5	𝑒	𝑒	PROPN
cana-1625	251	6	5(|	5(|	NOUN
cana-1625	251	7	𝔨	𝔨	PROPN
cana-1625	251	8	2	2	NUM
cana-1625	251	9	|+|	|+|	NOUN
cana-1625	251	10	𝔨	𝔨	PROPN
cana-1625	251	11	3	3	NUM
cana-1625	251	12	|	|	NOUN
cana-1625	251	13	)	)	PUNCT
cana-1625	251	14	𝜚	𝜚	NOUN
cana-1625	251	15	−	−	NOUN
cana-1625	251	16	1	1	NUM
cana-1625	251	17	)	)	PUNCT
cana-1625	251	18	=	=	SYM
cana-1625	251	19	(	(	PUNCT
cana-1625	251	20	𝑒	𝑒	PROPN
cana-1625	251	21	(	(	PUNCT
cana-1625	251	22	|	|	ADV
cana-1625	251	23	𝔨	𝔨	PROPN
cana-1625	251	24	2	2	NUM
cana-1625	251	25	|+|	|+|	NOUN
cana-1625	251	26	𝔨	𝔨	PROPN
cana-1625	251	27	3	3	NUM
cana-1625	251	28	|	|	NOUN
cana-1625	251	29	)	)	PUNCT
cana-1625	251	30	𝜚	𝜚	NOUN
cana-1625	251	31	−	−	PROPN
cana-1625	251	32	1	1	NUM
cana-1625	251	33	)	)	PUNCT
cana-1625	251	34	≤	≤	NOUN
cana-1625	251	35	(	(	PUNCT
cana-1625	251	36	𝑒	𝑒	PROPN
cana-1625	251	37	(	(	PUNCT
cana-1625	251	38	|𝔨|+|	|𝔨|+|	PROPN
cana-1625	251	39	𝔨	𝔨	PROPN
cana-1625	251	40	3	3	NUM
cana-1625	251	41	|	|	NOUN
cana-1625	251	42	)	)	PUNCT
cana-1625	251	43	𝜚	𝜚	NOUN
cana-1625	251	44	−	−	NOUN
cana-1625	251	45	1	1	NUM
cana-1625	251	46	)	)	PUNCT
cana-1625	251	47	=	=	SYM
cana-1625	251	48	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	251	49	,	,	PUNCT
cana-1625	251	50	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	251	51	,	,	PUNCT
cana-1625	251	52	𝜚	𝜚	NOUN
cana-1625	251	53	)	)	PUNCT
cana-1625	251	54	.	.	PUNCT
cana-1625	252	1	for	for	ADP
cana-1625	252	2	𝔨	𝔨	PROPN
cana-1625	252	3	=	=	SYM
cana-1625	252	4	𝜍̃.	𝜍̃.	PROPN
cana-1625	252	5	ℜ	ℜ	PROPN
cana-1625	252	6	(	(	PUNCT
cana-1625	252	7	�	�	PROPN
cana-1625	252	8	̈	̈	X
cana-1625	252	9	�	�	PROPN
cana-1625	252	10	𝔨	𝔨	PROPN
cana-1625	252	11	,	,	PUNCT
cana-1625	252	12	�	�	PROPN
cana-1625	252	13	̈	̈	X
cana-1625	252	14	�	�	PROPN
cana-1625	252	15	𝜍̃	𝜍̃	PROPN
cana-1625	252	16	,	,	PUNCT
cana-1625	252	17	𝜚	𝜚	NOUN
cana-1625	252	18	5	5	NUM
cana-1625	252	19	)	)	PUNCT
cana-1625	252	20	=	=	SYM
cana-1625	252	21	1	1	NUM
cana-1625	252	22	=	=	SYM
cana-1625	252	23	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	252	24	,	,	PUNCT
cana-1625	252	25	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	252	26	,	,	PUNCT
cana-1625	252	27	𝜚	𝜚	NOUN
cana-1625	252	28	)	)	PUNCT
cana-1625	252	29	,	,	PUNCT
cana-1625	252	30	𝔖	𝔖	PROPN
cana-1625	252	31	(	(	PUNCT
cana-1625	252	32	�	�	PROPN
cana-1625	252	33	̈	̈	X
cana-1625	252	34	�	�	PROPN
cana-1625	252	35	𝔨	𝔨	PROPN
cana-1625	252	36	,	,	PUNCT
cana-1625	252	37	�	�	PROPN
cana-1625	252	38	̈	̈	X
cana-1625	252	39	�	�	PROPN
cana-1625	252	40	𝜍̃	𝜍̃	PROPN
cana-1625	252	41	,	,	PUNCT
cana-1625	252	42	𝜚	𝜚	NOUN
cana-1625	252	43	5	5	NUM
cana-1625	252	44	)	)	PUNCT
cana-1625	252	45	=	=	SYM
cana-1625	252	46	0	0	PUNCT
cana-1625	253	1	=	=	SYM
cana-1625	253	2	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	253	3	,	,	PUNCT
cana-1625	253	4	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	253	5	,	,	PUNCT
cana-1625	253	6	𝜚	𝜚	NOUN
cana-1625	253	7	)	)	PUNCT
cana-1625	253	8	and	and	CCONJ
cana-1625	253	9	𝔗	𝔗	PROPN
cana-1625	253	10	(	(	PUNCT
cana-1625	253	11	�	�	PROPN
cana-1625	253	12	̈	̈	X
cana-1625	253	13	�	�	PROPN
cana-1625	253	14	𝔨	𝔨	PROPN
cana-1625	253	15	,	,	PUNCT
cana-1625	253	16	�	�	PROPN
cana-1625	253	17	̈	̈	X
cana-1625	253	18	�	�	PROPN
cana-1625	253	19	𝜍̃	𝜍̃	PROPN
cana-1625	253	20	,	,	PUNCT
cana-1625	253	21	𝜚	𝜚	NOUN
cana-1625	253	22	5	5	NUM
cana-1625	253	23	)	)	PUNCT
cana-1625	253	24	=	=	SYM
cana-1625	253	25	0	0	PUNCT
cana-1625	254	1	=	=	SYM
cana-1625	254	2	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	254	3	,	,	PUNCT
cana-1625	254	4	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	254	5	,	,	PUNCT
cana-1625	254	6	𝜚	𝜚	NOUN
cana-1625	254	7	)	)	PUNCT
cana-1625	254	8	.	.	PUNCT
cana-1625	255	1	so	so	ADV
cana-1625	255	2	that	that	SCONJ
cana-1625	255	3	for	for	ADP
cana-1625	255	4	any	any	DET
cana-1625	255	5	𝔨	𝔨	PROPN
cana-1625	255	6	,	,	PUNCT
cana-1625	255	7	𝜍̃	𝜍̃	PROPN
cana-1625	255	8	∈	∈	PROPN
cana-1625	255	9	ξ	ξ	PROPN
cana-1625	255	10	,	,	PUNCT
cana-1625	255	11	communications	communication	NOUN
cana-1625	255	12	on	on	ADP
cana-1625	255	13	applied	apply	VERB
cana-1625	255	14	nonlinear	nonlinear	ADJ
cana-1625	255	15	analysis	analysis	NOUN
cana-1625	255	16	issn	issn	NOUN
cana-1625	255	17	:	:	PUNCT
cana-1625	255	18	1074	1074	NUM
cana-1625	255	19	-	-	PUNCT
cana-1625	255	20	133x	133x	NUM
cana-1625	255	21	vol	vol	NOUN
cana-1625	255	22	32	32	NUM
cana-1625	255	23	no	no	NOUN
cana-1625	255	24	.	.	NOUN
cana-1625	255	25	1	1	NUM
cana-1625	255	26	(	(	PUNCT
cana-1625	255	27	2025	2025	NUM
cana-1625	255	28	)	)	PUNCT
cana-1625	255	29	125	125	NUM
cana-1625	255	30	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	255	31	ℜ	ℜ	PROPN
cana-1625	255	32	(	(	PUNCT
cana-1625	255	33	�	�	PROPN
cana-1625	255	34	̈	̈	X
cana-1625	255	35	�	�	PROPN
cana-1625	255	36	𝔨	𝔨	PROPN
cana-1625	255	37	,	,	PUNCT
cana-1625	255	38	�	�	PROPN
cana-1625	255	39	̈	̈	X
cana-1625	255	40	�	�	PROPN
cana-1625	255	41	𝜍̃	𝜍̃	PROPN
cana-1625	255	42	,	,	PUNCT
cana-1625	255	43	𝜚	𝜚	PROPN
cana-1625	255	44	5	5	NUM
cana-1625	255	45	)	)	PUNCT
cana-1625	255	46	≥	≥	NOUN
cana-1625	255	47	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	255	48	,	,	PUNCT
cana-1625	255	49	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	50	,	,	PUNCT
cana-1625	255	51	𝜚	𝜚	NOUN
cana-1625	255	52	)	)	PUNCT
cana-1625	255	53	=	=	SYM
cana-1625	255	54	min	min	NOUN
cana-1625	255	55	{	{	PUNCT
cana-1625	255	56	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	255	57	,	,	PUNCT
cana-1625	255	58	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	59	,	,	PUNCT
cana-1625	255	60	𝜚	𝜚	NOUN
cana-1625	255	61	)	)	PUNCT
cana-1625	255	62	,	,	PUNCT
cana-1625	255	63	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	255	64	,	,	PUNCT
cana-1625	255	65	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	255	66	,	,	PUNCT
cana-1625	255	67	𝜚	𝜚	NOUN
cana-1625	255	68	)	)	PUNCT
cana-1625	255	69	,	,	PUNCT
cana-1625	255	70	ℜ(	ℜ(	X
cana-1625	255	71	�	�	PROPN
cana-1625	255	72	̈	̈	NOUN
cana-1625	255	73	�	�	PROPN
cana-1625	255	74	𝜍̃	𝜍̃	PROPN
cana-1625	255	75	,	,	PUNCT
cana-1625	255	76	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	77	,	,	PUNCT
cana-1625	255	78	𝜚	𝜚	NOUN
cana-1625	255	79	)	)	PUNCT
cana-1625	255	80	,	,	PUNCT
cana-1625	255	81	ℜ(	ℜ(	X
cana-1625	255	82	�	�	PROPN
cana-1625	255	83	̈	̈	X
cana-1625	255	84	�	�	PROPN
cana-1625	255	85	𝔨	𝔨	PROPN
cana-1625	255	86	,	,	PUNCT
cana-1625	255	87	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	88	,	,	PUNCT
cana-1625	255	89	𝜚	𝜚	NOUN
cana-1625	255	90	)	)	PUNCT
cana-1625	255	91	,	,	PUNCT
cana-1625	255	92	ℜ(	ℜ(	X
cana-1625	255	93	�	�	PROPN
cana-1625	255	94	̈	̈	NUM
cana-1625	255	95	�	�	PROPN
cana-1625	255	96	𝜍̃	𝜍̃	PROPN
cana-1625	255	97	,	,	PUNCT
cana-1625	255	98	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	255	99	,	,	PUNCT
cana-1625	255	100	𝜚	𝜚	NOUN
cana-1625	255	101	)	)	PUNCT
cana-1625	255	102	}	}	PUNCT
cana-1625	255	103	𝔖	𝔖	PROPN
cana-1625	255	104	(	(	PUNCT
cana-1625	255	105	�	�	PROPN
cana-1625	255	106	̈	̈	X
cana-1625	255	107	�	�	PROPN
cana-1625	255	108	𝔨	𝔨	PROPN
cana-1625	255	109	,	,	PUNCT
cana-1625	255	110	�	�	PROPN
cana-1625	255	111	̈	̈	X
cana-1625	255	112	�	�	PROPN
cana-1625	255	113	𝜍̃	𝜍̃	PROPN
cana-1625	255	114	,	,	PUNCT
cana-1625	255	115	𝜚	𝜚	NOUN
cana-1625	255	116	5	5	NUM
cana-1625	255	117	)	)	PUNCT
cana-1625	255	118	≤	≤	NOUN
cana-1625	255	119	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	255	120	,	,	PUNCT
cana-1625	255	121	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	122	,	,	PUNCT
cana-1625	255	123	𝜚	𝜚	NOUN
cana-1625	255	124	)	)	PUNCT
cana-1625	255	125	=	=	SYM
cana-1625	255	126	max{𝔖(𝔏𝔨	max{𝔖(𝔏𝔨	NOUN
cana-1625	255	127	,	,	PUNCT
cana-1625	255	128	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	129	,	,	PUNCT
cana-1625	255	130	𝜚	𝜚	NOUN
cana-1625	255	131	)	)	PUNCT
cana-1625	255	132	,	,	PUNCT
cana-1625	255	133	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	255	134	,	,	PUNCT
cana-1625	255	135	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	255	136	,	,	PUNCT
cana-1625	255	137	𝜚	𝜚	NOUN
cana-1625	255	138	)	)	PUNCT
cana-1625	255	139	,	,	PUNCT
cana-1625	255	140	𝔖(	𝔖(	PROPN
cana-1625	255	141	�	�	PROPN
cana-1625	255	142	̈	̈	X
cana-1625	255	143	�	�	PROPN
cana-1625	255	144	𝜍̃	𝜍̃	PROPN
cana-1625	255	145	,	,	PUNCT
cana-1625	255	146	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	147	,	,	PUNCT
cana-1625	255	148	𝜚	𝜚	NOUN
cana-1625	255	149	)	)	PUNCT
cana-1625	255	150	,	,	PUNCT
cana-1625	255	151	𝔖(	𝔖(	PROPN
cana-1625	255	152	�	�	PROPN
cana-1625	255	153	̈	̈	X
cana-1625	255	154	�	�	PROPN
cana-1625	255	155	𝔨	𝔨	PROPN
cana-1625	255	156	,	,	PUNCT
cana-1625	255	157	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	158	,	,	PUNCT
cana-1625	255	159	𝜚	𝜚	NOUN
cana-1625	255	160	)	)	PUNCT
cana-1625	255	161	,	,	PUNCT
cana-1625	255	162	𝔖(	𝔖(	PROPN
cana-1625	255	163	�	�	PROPN
cana-1625	255	164	̈	̈	X
cana-1625	255	165	�	�	PROPN
cana-1625	255	166	𝜍̃	𝜍̃	PROPN
cana-1625	255	167	,	,	PUNCT
cana-1625	255	168	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	255	169	,	,	PUNCT
cana-1625	255	170	𝜚	𝜚	NOUN
cana-1625	255	171	)	)	PUNCT
cana-1625	255	172	}	}	PUNCT
cana-1625	255	173	𝔗(	𝔗(	ADJ
cana-1625	255	174	�	�	PROPN
cana-1625	255	175	̈	̈	X
cana-1625	255	176	�	�	PROPN
cana-1625	255	177	𝔨	𝔨	PROPN
cana-1625	255	178	,	,	PUNCT
cana-1625	255	179	�	�	PROPN
cana-1625	255	180	̈	̈	X
cana-1625	255	181	�	�	PROPN
cana-1625	255	182	𝜍̃	𝜍̃	PROPN
cana-1625	255	183	,	,	PUNCT
cana-1625	255	184	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	255	185	)	)	PUNCT
cana-1625	255	186	≤	≤	NOUN
cana-1625	255	187	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	255	188	,	,	PUNCT
cana-1625	255	189	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	255	190	,	,	PUNCT
cana-1625	255	191	𝜚	𝜚	NOUN
cana-1625	255	192	)	)	PUNCT
cana-1625	256	1	=	=	SYM
cana-1625	256	2	max{𝔗(𝔏𝔨	max{𝔗(𝔏𝔨	PROPN
cana-1625	256	3	,	,	PUNCT
cana-1625	256	4	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	256	5	,	,	PUNCT
cana-1625	256	6	𝜚	𝜚	NOUN
cana-1625	256	7	)	)	PUNCT
cana-1625	256	8	,	,	PUNCT
cana-1625	256	9	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	256	10	,	,	PUNCT
cana-1625	256	11	𝔄𝔨̈	𝔄𝔨̈	X
cana-1625	256	12	,	,	PUNCT
cana-1625	256	13	𝜚	𝜚	NOUN
cana-1625	256	14	)	)	PUNCT
cana-1625	256	15	,	,	PUNCT
cana-1625	256	16	𝔗(	𝔗(	ADJ
cana-1625	256	17	�	�	PROPN
cana-1625	256	18	̈	̈	NOUN
cana-1625	256	19	�	�	PROPN
cana-1625	256	20	𝜍̃	𝜍̃	PROPN
cana-1625	256	21	,	,	PUNCT
cana-1625	256	22	𝔚	𝔚	PROPN
cana-1625	256	23	�	�	PROPN
cana-1625	256	24	̃	̃	PROPN
cana-1625	256	25	�	�	PROPN
cana-1625	256	26	,	,	PUNCT
cana-1625	256	27	𝜚	𝜚	NOUN
cana-1625	256	28	)	)	PUNCT
cana-1625	256	29	,	,	PUNCT
cana-1625	256	30	𝔗(	𝔗(	ADJ
cana-1625	256	31	�	�	PROPN
cana-1625	256	32	̈	̈	SYM
cana-1625	256	33	�	�	PROPN
cana-1625	256	34	𝔨	𝔨	PROPN
cana-1625	256	35	,	,	PUNCT
cana-1625	256	36	𝔚𝜍̃	𝔚𝜍̃	PROPN
cana-1625	256	37	,	,	PUNCT
cana-1625	256	38	𝜚	𝜚	NOUN
cana-1625	256	39	)	)	PUNCT
cana-1625	256	40	,	,	PUNCT
cana-1625	256	41	𝔗(	𝔗(	ADJ
cana-1625	256	42	�	�	PROPN
cana-1625	256	43	̈	̈	NOUN
cana-1625	256	44	�	�	PROPN
cana-1625	256	45	𝜍̃	𝜍̃	PROPN
cana-1625	256	46	,	,	PUNCT
cana-1625	256	47	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	256	48	,	,	PUNCT
cana-1625	256	49	𝜚	𝜚	NOUN
cana-1625	256	50	)	)	PUNCT
cana-1625	256	51	}	}	PUNCT
cana-1625	256	52	.	.	PUNCT
cana-1625	257	1	hence	hence	ADV
cana-1625	257	2	,	,	PUNCT
cana-1625	257	3	the	the	DET
cana-1625	257	4	maps	map	NOUN
cana-1625	257	5	�	�	PROPN
cana-1625	257	6	̈	̈	X
cana-1625	257	7	�	�	PROPN
cana-1625	257	8	,	,	PUNCT
cana-1625	257	9	𝔅,̈	𝔅,̈	PROPN
cana-1625	257	10	𝔏	𝔏	PROPN
cana-1625	257	11	and	and	CCONJ
cana-1625	257	12	𝔚	𝔚	PROPN
cana-1625	257	13	satisfies	satisfy	VERB
cana-1625	257	14	the	the	DET
cana-1625	257	15	condition	condition	NOUN
cana-1625	257	16	(	(	PUNCT
cana-1625	257	17	3.7.1	3.7.1	NUM
cana-1625	257	18	)	)	PUNCT
cana-1625	257	19	,	,	PUNCT
cana-1625	257	20	(	(	PUNCT
cana-1625	257	21	3.7.2	3.7.2	NUM
cana-1625	257	22	)	)	PUNCT
cana-1625	257	23	and	and	CCONJ
cana-1625	257	24	(	(	PUNCT
cana-1625	257	25	3.7.3	3.7.3	NUM
cana-1625	257	26	)	)	PUNCT
cana-1625	257	27	of	of	ADP
cana-1625	257	28	theorem	theorem	NOUN
cana-1625	257	29	(	(	PUNCT
cana-1625	257	30	3.7	3.7	NUM
cana-1625	257	31	)	)	PUNCT
cana-1625	257	32	for	for	ADP
cana-1625	257	33	𝔡	𝔡	NOUN
cana-1625	257	34	=	=	SYM
cana-1625	257	35	1	1	NUM
cana-1625	257	36	5	5	NUM
cana-1625	257	37	.	.	PUNCT
cana-1625	258	1	also	also	ADV
cana-1625	258	2	,	,	PUNCT
cana-1625	258	3	the	the	DET
cana-1625	258	4	pairs	pair	NOUN
cana-1625	258	5	{	{	PUNCT
cana-1625	258	6	𝔄,̈	𝔄,̈	PROPN
cana-1625	258	7	𝔏	𝔏	PROPN
cana-1625	258	8	}	}	PUNCT
cana-1625	258	9	and	and	CCONJ
cana-1625	258	10	{	{	PUNCT
cana-1625	258	11	�	�	PROPN
cana-1625	258	12	̈	̈	X
cana-1625	258	13	�	�	PROPN
cana-1625	258	14	,	,	PUNCT
cana-1625	258	15	𝔚	𝔚	PROPN
cana-1625	258	16	}	}	PUNCT
cana-1625	258	17	are	be	AUX
cana-1625	258	18	obviously	obviously	ADV
cana-1625	258	19	owc	owc	NUM
cana-1625	258	20	.	.	PUNCT
cana-1625	259	1	thus	thus	ADV
cana-1625	259	2	all	all	DET
cana-1625	259	3	the	the	DET
cana-1625	259	4	condition	condition	NOUN
cana-1625	259	5	of	of	ADP
cana-1625	259	6	theorem	theorem	NOUN
cana-1625	259	7	(	(	PUNCT
cana-1625	259	8	3.6	3.6	NUM
cana-1625	259	9	)	)	PUNCT
cana-1625	259	10	are	be	AUX
cana-1625	259	11	satisfied	satisfied	ADJ
cana-1625	259	12	at	at	ADP
cana-1625	259	13	𝔨	𝔨	PROPN
cana-1625	259	14	=	=	SYM
cana-1625	259	15	0	0	NUM
cana-1625	259	16	is	be	AUX
cana-1625	259	17	the	the	DET
cana-1625	259	18	unique	unique	ADJ
cana-1625	259	19	common	common	ADJ
cana-1625	259	20	fixed	fix	VERB
cana-1625	259	21	point	point	NOUN
cana-1625	259	22	of	of	ADP
cana-1625	259	23	�	�	PROPN
cana-1625	259	24	̈	̈	X
cana-1625	259	25	�	�	PROPN
cana-1625	259	26	,	,	PUNCT
cana-1625	259	27	𝔅,̈	𝔅,̈	PROPN
cana-1625	259	28	𝔏	𝔏	PROPN
cana-1625	259	29	and	and	CCONJ
cana-1625	259	30	𝔚	𝔚	PROPN
cana-1625	259	31	in	in	ADP
cana-1625	259	32	ξ	ξ	PROPN
cana-1625	259	33	.	.	PUNCT
cana-1625	259	34	corollary	corollary	ADJ
cana-1625	259	35	3.9	3.9	NUM
cana-1625	259	36	:	:	PUNCT
cana-1625	259	37	let	let	VERB
cana-1625	259	38	(	(	PUNCT
cana-1625	259	39	ξ	ξ	X
cana-1625	259	40	,	,	PUNCT
cana-1625	259	41	ℜ	ℜ	PROPN
cana-1625	259	42	,	,	PUNCT
cana-1625	259	43	𝔖	𝔖	PROPN
cana-1625	259	44	,	,	PUNCT
cana-1625	259	45	𝔗,∗	𝔗,∗	PROPN
cana-1625	259	46	,	,	PUNCT
cana-1625	259	47	⨀	⨀	PROPN
cana-1625	259	48	)	)	PUNCT
cana-1625	259	49	be	be	VERB
cana-1625	259	50	a	a	DET
cana-1625	259	51	nms	nms	NOUN
cana-1625	259	52	with	with	ADP
cana-1625	259	53	lim	lim	PROPN
cana-1625	259	54	𝜚→∞	𝜚→∞	X
cana-1625	259	55	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	259	56	,	,	PUNCT
cana-1625	259	57	𝜍̃	𝜍̃	PROPN
cana-1625	259	58	,	,	PUNCT
cana-1625	259	59	𝜚	𝜚	NOUN
cana-1625	259	60	)	)	PUNCT
cana-1625	259	61	=	=	SYM
cana-1625	259	62	1	1	NUM
cana-1625	259	63	,	,	PUNCT
cana-1625	259	64	lim	lim	PROPN
cana-1625	259	65	𝜚→∞	𝜚→∞	X
cana-1625	259	66	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	259	67	,	,	PUNCT
cana-1625	259	68	𝜍̃	𝜍̃	PROPN
cana-1625	259	69	,	,	PUNCT
cana-1625	259	70	𝜚	𝜚	NOUN
cana-1625	259	71	)	)	PUNCT
cana-1625	260	1	=	=	SYM
cana-1625	260	2	0	0	PUNCT
cana-1625	260	3	and	and	CCONJ
cana-1625	260	4	lim	lim	PROPN
cana-1625	260	5	𝜚→∞	𝜚→∞	X
cana-1625	260	6	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	260	7	,	,	PUNCT
cana-1625	260	8	𝜍̃	𝜍̃	PROPN
cana-1625	260	9	,	,	PUNCT
cana-1625	260	10	𝜚	𝜚	NOUN
cana-1625	260	11	)	)	PUNCT
cana-1625	260	12	=	=	SYM
cana-1625	260	13	0	0	NUM
cana-1625	260	14	,	,	PUNCT
cana-1625	260	15	for	for	ADP
cana-1625	260	16	all	all	DET
cana-1625	260	17	𝔨	𝔨	PROPN
cana-1625	260	18	,	,	PUNCT
cana-1625	260	19	𝜍̃	𝜍̃	PROPN
cana-1625	260	20	∈	∈	PROPN
cana-1625	260	21	ξ	ξ	PROPN
cana-1625	260	22	and	and	CCONJ
cana-1625	260	23	let	let	VERB
cana-1625	260	24	�	�	PROPN
cana-1625	260	25	̈	̈	X
cana-1625	260	26	�	�	PROPN
cana-1625	260	27	and	and	CCONJ
cana-1625	260	28	𝔏	𝔏	PROPN
cana-1625	260	29	be	be	VERB
cana-1625	260	30	self	self	NOUN
cana-1625	260	31	mappings	mapping	NOUN
cana-1625	260	32	on	on	ADP
cana-1625	260	33	ξ	ξ	NOUN
cana-1625	260	34	.	.	PUNCT
cana-1625	261	1	let	let	VERB
cana-1625	261	2	𝔄,̈	𝔄,̈	PROPN
cana-1625	261	3	𝔏	𝔏	PROPN
cana-1625	261	4	be	be	AUX
cana-1625	261	5	self	self	NOUN
cana-1625	261	6	mappings	mapping	NOUN
cana-1625	261	7	on	on	ADP
cana-1625	261	8	ξ	ξ	PROPN
cana-1625	261	9	.	.	PUNCT
cana-1625	262	1	let	let	VERB
cana-1625	262	2	the	the	DET
cana-1625	262	3	pair	pair	NOUN
cana-1625	262	4	{	{	PUNCT
cana-1625	262	5	𝔄,̈	𝔄,̈	PROPN
cana-1625	262	6	𝔏	𝔏	PROPN
cana-1625	262	7	}	}	PUNCT
cana-1625	262	8	be	be	AUX
cana-1625	262	9	owc	owc	NOUN
cana-1625	262	10	.	.	PUNCT
cana-1625	263	1	if	if	SCONJ
cana-1625	263	2	there	there	PRON
cana-1625	263	3	exists	exist	VERB
cana-1625	263	4	𝔡	𝔡	X
cana-1625	263	5	∈	∈	PROPN
cana-1625	263	6	(	(	PUNCT
cana-1625	263	7	0	0	NUM
cana-1625	263	8	,	,	PUNCT
cana-1625	263	9	1	1	NUM
cana-1625	263	10	)	)	PUNCT
cana-1625	263	11	such	such	ADJ
cana-1625	263	12	that	that	DET
cana-1625	263	13	ℜ(	ℜ(	ADJ
cana-1625	263	14	�	�	PROPN
cana-1625	263	15	̈	̈	NOUN
cana-1625	263	16	�	�	PROPN
cana-1625	263	17	𝔨	𝔨	PROPN
cana-1625	263	18	,	,	PUNCT
cana-1625	263	19	�	�	PROPN
cana-1625	263	20	̈	̈	X
cana-1625	263	21	�	�	PROPN
cana-1625	263	22	𝜍̃	𝜍̃	PROPN
cana-1625	263	23	,	,	PUNCT
cana-1625	263	24	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	263	25	)	)	PUNCT
cana-1625	263	26	≥	≥	NOUN
cana-1625	263	27	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	263	28	,	,	PUNCT
cana-1625	263	29	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	30	,	,	PUNCT
cana-1625	263	31	𝜚	𝜚	NOUN
cana-1625	263	32	)	)	PUNCT
cana-1625	263	33	∗	∗	NOUN
cana-1625	263	34	ℜ(	ℜ(	X
cana-1625	263	35	�	�	PROPN
cana-1625	263	36	̈	̈	NOUN
cana-1625	263	37	�	�	PROPN
cana-1625	263	38	𝔨	𝔨	PROPN
cana-1625	263	39	,	,	PUNCT
cana-1625	263	40	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	263	41	,	,	PUNCT
cana-1625	263	42	𝜚	𝜚	NOUN
cana-1625	263	43	)	)	PUNCT
cana-1625	263	44	∗	∗	NOUN
cana-1625	263	45	ℜ(	ℜ(	X
cana-1625	263	46	�	�	PROPN
cana-1625	263	47	̈	̈	NOUN
cana-1625	263	48	�	�	PROPN
cana-1625	263	49	𝜍̃	𝜍̃	NOUN
cana-1625	263	50	,	,	PUNCT
cana-1625	263	51	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	52	,	,	PUNCT
cana-1625	263	53	𝜚	𝜚	NOUN
cana-1625	263	54	)	)	PUNCT
cana-1625	263	55	∗	∗	NOUN
cana-1625	263	56	ℜ(	ℜ(	X
cana-1625	263	57	�	�	PROPN
cana-1625	263	58	̈	̈	NOUN
cana-1625	263	59	�	�	PROPN
cana-1625	263	60	𝔨	𝔨	PROPN
cana-1625	263	61	,	,	PUNCT
cana-1625	263	62	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	63	,	,	PUNCT
cana-1625	263	64	𝜚	𝜚	NOUN
cana-1625	263	65	)	)	PUNCT
cana-1625	263	66	,	,	PUNCT
cana-1625	263	67	𝔖(	𝔖(	PROPN
cana-1625	263	68	�	�	PROPN
cana-1625	263	69	̈	̈	X
cana-1625	263	70	�	�	PROPN
cana-1625	263	71	𝔨	𝔨	PROPN
cana-1625	263	72	,	,	PUNCT
cana-1625	263	73	�	�	PROPN
cana-1625	263	74	̈	̈	X
cana-1625	263	75	�	�	PROPN
cana-1625	263	76	𝜍̃	𝜍̃	PROPN
cana-1625	263	77	,	,	PUNCT
cana-1625	263	78	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	263	79	)	)	PUNCT
cana-1625	263	80	≤	≤	NOUN
cana-1625	263	81	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	263	82	,	,	PUNCT
cana-1625	263	83	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	84	,	,	PUNCT
cana-1625	263	85	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	263	86	�	�	PROPN
cana-1625	263	87	̈	̈	SYM
cana-1625	263	88	�	�	PROPN
cana-1625	263	89	𝔨	𝔨	PROPN
cana-1625	263	90	,	,	PUNCT
cana-1625	263	91	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	263	92	,	,	PUNCT
cana-1625	263	93	𝜚)⨀𝔖(	𝜚)⨀𝔖(	PROPN
cana-1625	263	94	�	�	PROPN
cana-1625	263	95	̈	̈	SYM
cana-1625	263	96	�	�	PROPN
cana-1625	263	97	𝜍̃	𝜍̃	NOUN
cana-1625	263	98	,	,	PUNCT
cana-1625	263	99	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	100	,	,	PUNCT
cana-1625	263	101	𝜚)⨀𝔖(	𝜚)⨀𝔖(	X
cana-1625	263	102	�	�	PROPN
cana-1625	263	103	̈	̈	SYM
cana-1625	263	104	�	�	PROPN
cana-1625	263	105	𝔨	𝔨	PROPN
cana-1625	263	106	,	,	PUNCT
cana-1625	263	107	𝔏𝜍̃	𝔏𝜍̃	VERB
cana-1625	263	108	,	,	PUNCT
cana-1625	263	109	𝜚)and	𝜚)and	PROPN
cana-1625	263	110	𝔗(	𝔗(	ADJ
cana-1625	263	111	�	�	PROPN
cana-1625	263	112	̈	̈	SYM
cana-1625	263	113	�	�	PROPN
cana-1625	263	114	𝔨	𝔨	PROPN
cana-1625	263	115	,	,	PUNCT
cana-1625	263	116	�	�	PROPN
cana-1625	263	117	̈	̈	X
cana-1625	263	118	�	�	PROPN
cana-1625	263	119	𝜍̃	𝜍̃	PROPN
cana-1625	263	120	,	,	PUNCT
cana-1625	263	121	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	263	122	)	)	PUNCT
cana-1625	263	123	≤	≤	NOUN
cana-1625	263	124	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	263	125	,	,	PUNCT
cana-1625	263	126	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	127	,	,	PUNCT
cana-1625	263	128	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	263	129	�	�	PROPN
cana-1625	263	130	̈	̈	X
cana-1625	263	131	�	�	PROPN
cana-1625	263	132	𝔨	𝔨	PROPN
cana-1625	263	133	,	,	PUNCT
cana-1625	263	134	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	263	135	,	,	PUNCT
cana-1625	263	136	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	263	137	�	�	PROPN
cana-1625	263	138	̈	̈	SYM
cana-1625	263	139	�	�	PROPN
cana-1625	263	140	𝜍̃	𝜍̃	NOUN
cana-1625	263	141	,	,	PUNCT
cana-1625	263	142	𝔏𝜍̃	𝔏𝜍̃	VERB
cana-1625	263	143	,	,	PUNCT
cana-1625	263	144	𝜚)⨀𝔗(	𝜚)⨀𝔗(	PROPN
cana-1625	263	145	�	�	PROPN
cana-1625	263	146	̈	̈	X
cana-1625	263	147	�	�	PROPN
cana-1625	263	148	𝔨	𝔨	PROPN
cana-1625	263	149	,	,	PUNCT
cana-1625	263	150	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	263	151	,	,	PUNCT
cana-1625	263	152	𝜚	𝜚	NOUN
cana-1625	263	153	)	)	PUNCT
cana-1625	263	154	for	for	ADP
cana-1625	263	155	all	all	DET
cana-1625	263	156	𝔨	𝔨	PROPN
cana-1625	263	157	,	,	PUNCT
cana-1625	263	158	𝜍̃	𝜍̃	PROPN
cana-1625	263	159	∈	∈	PROPN
cana-1625	263	160	ξ	ξ	PROPN
cana-1625	263	161	and	and	CCONJ
cana-1625	263	162	𝜚	𝜚	X
cana-1625	263	163	>	>	X
cana-1625	263	164	0	0	X
cana-1625	263	165	.	.	PUNCT
cana-1625	264	1	then	then	ADV
cana-1625	264	2	𝔄	𝔄	PROPN
cana-1625	264	3	̈	̈	PUNCT
cana-1625	264	4	and	and	CCONJ
cana-1625	264	5	𝔏	𝔏	PROPN
cana-1625	264	6	have	have	VERB
cana-1625	264	7	a	a	DET
cana-1625	264	8	unique	unique	ADJ
cana-1625	264	9	common	common	ADJ
cana-1625	264	10	fixed	fix	VERB
cana-1625	264	11	point	point	NOUN
cana-1625	264	12	in	in	ADP
cana-1625	264	13	ξ	ξ	PROPN
cana-1625	264	14	.	.	PUNCT
cana-1625	265	1	theorem	theorem	VERB
cana-1625	265	2	3.10	3.10	NUM
cana-1625	265	3	:	:	PUNCT
cana-1625	265	4	let	let	VERB
cana-1625	265	5	(	(	PUNCT
cana-1625	265	6	ξ	ξ	X
cana-1625	265	7	,	,	PUNCT
cana-1625	265	8	ℜ	ℜ	PROPN
cana-1625	265	9	,	,	PUNCT
cana-1625	265	10	𝔖	𝔖	PROPN
cana-1625	265	11	,	,	PUNCT
cana-1625	265	12	𝔗,∗	𝔗,∗	PROPN
cana-1625	265	13	,	,	PUNCT
cana-1625	265	14	⨀	⨀	PROPN
cana-1625	265	15	)	)	PUNCT
cana-1625	265	16	be	be	VERB
cana-1625	265	17	a	a	DET
cana-1625	265	18	nms	nms	NOUN
cana-1625	265	19	with	with	ADP
cana-1625	265	20	lim	lim	PROPN
cana-1625	265	21	𝜚→∞	𝜚→∞	X
cana-1625	265	22	ℜ(𝔨	ℜ(𝔨	NUM
cana-1625	265	23	,	,	PUNCT
cana-1625	265	24	𝜍̃	𝜍̃	PROPN
cana-1625	265	25	,	,	PUNCT
cana-1625	265	26	𝜚	𝜚	NOUN
cana-1625	265	27	)	)	PUNCT
cana-1625	266	1	=	=	SYM
cana-1625	266	2	1	1	NUM
cana-1625	266	3	,	,	PUNCT
cana-1625	266	4	lim	lim	PROPN
cana-1625	266	5	𝜚→∞	𝜚→∞	X
cana-1625	266	6	𝔖(𝔨	𝔖(𝔨	NUM
cana-1625	266	7	,	,	PUNCT
cana-1625	266	8	𝜍̃	𝜍̃	PROPN
cana-1625	266	9	,	,	PUNCT
cana-1625	266	10	𝜚	𝜚	NOUN
cana-1625	266	11	)	)	PUNCT
cana-1625	266	12	=	=	SYM
cana-1625	266	13	0	0	PUNCT
cana-1625	266	14	and	and	CCONJ
cana-1625	266	15	lim	lim	PROPN
cana-1625	266	16	𝜚→∞	𝜚→∞	X
cana-1625	266	17	𝔗(𝔨	𝔗(𝔨	PROPN
cana-1625	266	18	,	,	PUNCT
cana-1625	266	19	𝜍̃	𝜍̃	PROPN
cana-1625	266	20	,	,	PUNCT
cana-1625	266	21	𝜚	𝜚	NOUN
cana-1625	266	22	)	)	PUNCT
cana-1625	266	23	=	=	SYM
cana-1625	266	24	0	0	NUM
cana-1625	266	25	,	,	PUNCT
cana-1625	266	26	for	for	ADP
cana-1625	266	27	all	all	DET
cana-1625	266	28	𝔨	𝔨	PROPN
cana-1625	266	29	,	,	PUNCT
cana-1625	267	1	𝜍̃	𝜍̃	PROPN
cana-1625	267	2	∈	∈	PROPN
cana-1625	267	3	ξ	ξ	X
cana-1625	267	4	.	.	PUNCT
cana-1625	268	1	let	let	VERB
cana-1625	268	2	the	the	DET
cana-1625	268	3	pair	pair	NOUN
cana-1625	268	4	{	{	PUNCT
cana-1625	268	5	𝔄,̈	𝔄,̈	PROPN
cana-1625	268	6	𝔏	𝔏	PROPN
cana-1625	268	7	}	}	PUNCT
cana-1625	268	8	be	be	AUX
cana-1625	268	9	owc	owc	NOUN
cana-1625	268	10	.	.	PUNCT
cana-1625	269	1	if	if	SCONJ
cana-1625	269	2	there	there	PRON
cana-1625	269	3	exists	exist	VERB
cana-1625	269	4	𝔡	𝔡	X
cana-1625	269	5	∈	∈	PROPN
cana-1625	269	6	(	(	PUNCT
cana-1625	269	7	0	0	NUM
cana-1625	269	8	,	,	PUNCT
cana-1625	269	9	1	1	NUM
cana-1625	269	10	)	)	PUNCT
cana-1625	269	11	such	such	ADJ
cana-1625	269	12	that	that	SCONJ
cana-1625	269	13	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	269	14	,	,	PUNCT
cana-1625	269	15	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	269	16	,	,	PUNCT
cana-1625	269	17	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	269	18	)	)	PUNCT
cana-1625	269	19	≥	≥	PROPN
cana-1625	269	20	�	�	PROPN
cana-1625	269	21	̃	̃	PROPN
cana-1625	269	22	�	�	PROPN
cana-1625	269	23	ℜ(	ℜ(	X
cana-1625	269	24	�	�	PROPN
cana-1625	269	25	̈	̈	NOUN
cana-1625	269	26	�	�	PROPN
cana-1625	269	27	𝔨	𝔨	PROPN
cana-1625	269	28	,	,	PUNCT
cana-1625	269	29	𝔄𝜍̃̈	𝔄𝜍̃̈	PROPN
cana-1625	269	30	,	,	PUNCT
cana-1625	269	31	𝜚	𝜚	NOUN
cana-1625	269	32	)	)	PUNCT
cana-1625	270	1	+	+	CCONJ
cana-1625	270	2	�	�	PROPN
cana-1625	270	3	̃	̃	PROPN
cana-1625	270	4	�	�	PROPN
cana-1625	270	5	𝑚𝑖𝑛{ℜ(	𝑚𝑖𝑛{ℜ(	NOUN
cana-1625	270	6	�	�	PROPN
cana-1625	270	7	̈	̈	X
cana-1625	270	8	�	�	PROPN
cana-1625	270	9	𝔨	𝔨	PROPN
cana-1625	270	10	,	,	PUNCT
cana-1625	270	11	�	�	PROPN
cana-1625	270	12	̈	̈	X
cana-1625	270	13	�	�	PROPN
cana-1625	270	14	𝜍̃	𝜍̃	PROPN
cana-1625	270	15	,	,	PUNCT
cana-1625	270	16	𝜚	𝜚	NOUN
cana-1625	270	17	)	)	PUNCT
cana-1625	270	18	,	,	PUNCT
cana-1625	270	19	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	270	20	,	,	PUNCT
cana-1625	270	21	�	�	PROPN
cana-1625	270	22	̈	̈	X
cana-1625	270	23	�	�	PROPN
cana-1625	270	24	𝔨	𝔨	PROPN
cana-1625	270	25	,	,	PUNCT
cana-1625	270	26	𝜚	𝜚	NOUN
cana-1625	270	27	)	)	PUNCT
cana-1625	270	28	,	,	PUNCT
cana-1625	270	29	ℜ(𝔏𝜍̃	ℜ(𝔏𝜍̃	NOUN
cana-1625	270	30	,	,	PUNCT
cana-1625	270	31	�	�	PROPN
cana-1625	270	32	̈	̈	X
cana-1625	270	33	�	�	PROPN
cana-1625	270	34	𝜍̃	𝜍̃	PROPN
cana-1625	270	35	,	,	PUNCT
cana-1625	270	36	𝜚	𝜚	NOUN
cana-1625	270	37	)	)	PUNCT
cana-1625	270	38	}	}	PUNCT
cana-1625	270	39	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	270	40	,	,	PUNCT
cana-1625	270	41	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	270	42	,	,	PUNCT
cana-1625	270	43	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	270	44	)	)	PUNCT
cana-1625	270	45	≤	≤	NUM
cana-1625	270	46	�	�	PROPN
cana-1625	270	47	̃	̃	PROPN
cana-1625	270	48	�	�	PROPN
cana-1625	270	49	𝔖(	𝔖(	ADJ
cana-1625	270	50	�	�	PROPN
cana-1625	270	51	̈	̈	X
cana-1625	270	52	�	�	PROPN
cana-1625	270	53	𝔨	𝔨	PROPN
cana-1625	270	54	,	,	PUNCT
cana-1625	270	55	�	�	PROPN
cana-1625	270	56	̈	̈	X
cana-1625	270	57	�	�	PROPN
cana-1625	270	58	𝜍̃	𝜍̃	PROPN
cana-1625	270	59	,	,	PUNCT
cana-1625	270	60	𝜚	𝜚	NOUN
cana-1625	270	61	)	)	PUNCT
cana-1625	271	1	+	+	CCONJ
cana-1625	271	2	�	�	PROPN
cana-1625	271	3	̃	̃	PROPN
cana-1625	271	4	�	�	PROPN
cana-1625	271	5	𝑚𝑎𝑥{𝔖(	𝑚𝑎𝑥{𝔖(	SYM
cana-1625	271	6	�	�	PROPN
cana-1625	271	7	̈	̈	X
cana-1625	271	8	�	�	PROPN
cana-1625	271	9	𝔨	𝔨	PROPN
cana-1625	271	10	,	,	PUNCT
cana-1625	271	11	�	�	PROPN
cana-1625	271	12	̈	̈	X
cana-1625	271	13	�	�	PROPN
cana-1625	271	14	𝜍̃	𝜍̃	PROPN
cana-1625	271	15	,	,	PUNCT
cana-1625	271	16	𝜚)𝔖(𝔏𝔨	𝜚)𝔖(𝔏𝔨	PRON
cana-1625	271	17	,	,	PUNCT
cana-1625	271	18	�	�	PROPN
cana-1625	271	19	̈	̈	X
cana-1625	271	20	�	�	PROPN
cana-1625	271	21	𝔨	𝔨	PROPN
cana-1625	271	22	,	,	PUNCT
cana-1625	271	23	𝜚	𝜚	NOUN
cana-1625	271	24	)	)	PUNCT
cana-1625	271	25	,	,	PUNCT
cana-1625	271	26	𝔖(𝔏𝜍̃	𝔖(𝔏𝜍̃	NUM
cana-1625	271	27	,	,	PUNCT
cana-1625	271	28	�	�	PROPN
cana-1625	271	29	̈	̈	X
cana-1625	271	30	�	�	PROPN
cana-1625	271	31	𝜍̃	𝜍̃	PROPN
cana-1625	271	32	,	,	PUNCT
cana-1625	271	33	𝜚	𝜚	NOUN
cana-1625	271	34	)	)	PUNCT
cana-1625	271	35	}	}	PUNCT
cana-1625	271	36	and	and	CCONJ
cana-1625	271	37	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	271	38	,	,	PUNCT
cana-1625	271	39	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	271	40	,	,	PUNCT
cana-1625	271	41	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	271	42	)	)	PUNCT
cana-1625	271	43	≤	≤	NUM
cana-1625	271	44	�	�	PROPN
cana-1625	271	45	̃	̃	PROPN
cana-1625	271	46	�	�	PROPN
cana-1625	271	47	𝔗(	𝔗(	ADJ
cana-1625	271	48	�	�	PROPN
cana-1625	271	49	̈	̈	SYM
cana-1625	271	50	�	�	PROPN
cana-1625	271	51	𝔨	𝔨	PROPN
cana-1625	271	52	,	,	PUNCT
cana-1625	271	53	�	�	PROPN
cana-1625	271	54	̈	̈	X
cana-1625	271	55	�	�	PROPN
cana-1625	271	56	𝜍̃	𝜍̃	PROPN
cana-1625	271	57	,	,	PUNCT
cana-1625	271	58	𝜚	𝜚	NOUN
cana-1625	271	59	)	)	PUNCT
cana-1625	272	1	+	+	CCONJ
cana-1625	272	2	�	�	PROPN
cana-1625	272	3	̃	̃	PROPN
cana-1625	272	4	�	�	PROPN
cana-1625	272	5	𝑚𝑎𝑥{𝔗(	𝑚𝑎𝑥{𝔗(	SYM
cana-1625	272	6	�	�	PROPN
cana-1625	272	7	̈	̈	X
cana-1625	272	8	�	�	PROPN
cana-1625	272	9	𝔨	𝔨	PROPN
cana-1625	272	10	,	,	PUNCT
cana-1625	272	11	�	�	PROPN
cana-1625	272	12	̈	̈	X
cana-1625	272	13	�	�	PROPN
cana-1625	272	14	𝜍̃	𝜍̃	PROPN
cana-1625	272	15	,	,	PUNCT
cana-1625	272	16	𝜚	𝜚	NOUN
cana-1625	272	17	)	)	PUNCT
cana-1625	272	18	,	,	PUNCT
cana-1625	272	19	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	272	20	,	,	PUNCT
cana-1625	272	21	�	�	PROPN
cana-1625	272	22	̈	̈	X
cana-1625	272	23	�	�	PROPN
cana-1625	272	24	𝔨	𝔨	PROPN
cana-1625	272	25	,	,	PUNCT
cana-1625	272	26	𝜚	𝜚	NOUN
cana-1625	272	27	)	)	PUNCT
cana-1625	272	28	,	,	PUNCT
cana-1625	272	29	𝔗(𝔏𝜍̃	𝔗(𝔏𝜍̃	VERB
cana-1625	272	30	,	,	PUNCT
cana-1625	272	31	�	�	PROPN
cana-1625	272	32	̈	̈	X
cana-1625	272	33	�	�	PROPN
cana-1625	272	34	𝜍̃	𝜍̃	PROPN
cana-1625	272	35	,	,	PUNCT
cana-1625	272	36	𝜚	𝜚	NOUN
cana-1625	272	37	)	)	PUNCT
cana-1625	272	38	}	}	PUNCT
cana-1625	272	39	(	(	PUNCT
cana-1625	272	40	3.10.1	3.10.1	X
cana-1625	272	41	)	)	PUNCT
cana-1625	272	42	proof	proof	NOUN
cana-1625	272	43	:	:	PUNCT
cana-1625	272	44	the	the	DET
cana-1625	272	45	pairs	pair	NOUN
cana-1625	272	46	are	be	AUX
cana-1625	272	47	owc	owc	NUM
cana-1625	272	48	,	,	PUNCT
cana-1625	272	49	so	so	SCONJ
cana-1625	272	50	there	there	PRON
cana-1625	272	51	exists	exist	VERB
cana-1625	272	52	𝔨	𝔨	PROPN
cana-1625	272	53	∈	∈	PROPN
cana-1625	272	54	ξ	ξ	PROPN
cana-1625	272	55	such	such	ADJ
cana-1625	272	56	that	that	DET
cana-1625	272	57	�	�	PROPN
cana-1625	272	58	̈	̈	X
cana-1625	272	59	�	�	NOUN
cana-1625	272	60	(𝔨	(𝔨	NOUN
cana-1625	272	61	)	)	PUNCT
cana-1625	272	62	=	=	SYM
cana-1625	273	1	𝔏(𝔨	𝔏(𝔨	NOUN
cana-1625	273	2	)	)	PUNCT
cana-1625	273	3	.	.	PUNCT
cana-1625	274	1	suppose	suppose	VERB
cana-1625	274	2	that	that	SCONJ
cana-1625	274	3	there	there	PRON
cana-1625	274	4	exists	exist	VERB
cana-1625	274	5	another	another	DET
cana-1625	274	6	𝜍̃	𝜍̃	PROPN
cana-1625	274	7	∈	∈	PROPN
cana-1625	274	8	ξ	ξ	PROPN
cana-1625	274	9	for	for	ADP
cana-1625	274	10	which	which	PRON
cana-1625	274	11	�	�	NOUN
cana-1625	274	12	̈	̈	SYM
cana-1625	274	13	�	�	NOUN
cana-1625	274	14	(𝜍̃	(𝜍̃	SYM
cana-1625	274	15	)	)	PUNCT
cana-1625	274	16	=	=	SYM
cana-1625	274	17	𝔏(𝜍̃	𝔏(𝜍̃	NOUN
cana-1625	274	18	)	)	PUNCT
cana-1625	274	19	.	.	PUNCT
cana-1625	275	1	from	from	ADP
cana-1625	275	2	the	the	DET
cana-1625	275	3	condition	condition	NOUN
cana-1625	275	4	(	(	PUNCT
cana-1625	275	5	3.10.1	3.10.1	NUM
cana-1625	275	6	)	)	PUNCT
cana-1625	275	7	,	,	PUNCT
cana-1625	275	8	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	275	9	,	,	PUNCT
cana-1625	275	10	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	275	11	,	,	PUNCT
cana-1625	275	12	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	275	13	)	)	PUNCT
cana-1625	275	14	≥	≥	PROPN
cana-1625	275	15	�	�	PROPN
cana-1625	275	16	̃	̃	PROPN
cana-1625	275	17	�	�	PROPN
cana-1625	275	18	ℜ(	ℜ(	X
cana-1625	275	19	�	�	PROPN
cana-1625	275	20	̈	̈	NOUN
cana-1625	275	21	�	�	PROPN
cana-1625	275	22	𝔨	𝔨	PROPN
cana-1625	275	23	,	,	PUNCT
cana-1625	275	24	�	�	PROPN
cana-1625	275	25	̈	̈	X
cana-1625	275	26	�	�	PROPN
cana-1625	275	27	𝜍̃	𝜍̃	PROPN
cana-1625	275	28	,	,	PUNCT
cana-1625	275	29	𝜚	𝜚	NOUN
cana-1625	275	30	)	)	PUNCT
cana-1625	276	1	+	+	CCONJ
cana-1625	276	2	�	�	PROPN
cana-1625	276	3	̃	̃	PROPN
cana-1625	276	4	�	�	PROPN
cana-1625	276	5	𝑚𝑖𝑛{ℜ(	𝑚𝑖𝑛{ℜ(	NOUN
cana-1625	276	6	�	�	PROPN
cana-1625	276	7	̈	̈	X
cana-1625	276	8	�	�	PROPN
cana-1625	276	9	𝔨	𝔨	PROPN
cana-1625	276	10	,	,	PUNCT
cana-1625	276	11	�	�	PROPN
cana-1625	276	12	̈	̈	X
cana-1625	276	13	�	�	PROPN
cana-1625	276	14	𝜍̃	𝜍̃	PROPN
cana-1625	276	15	,	,	PUNCT
cana-1625	276	16	𝜚	𝜚	NOUN
cana-1625	276	17	)	)	PUNCT
cana-1625	276	18	,	,	PUNCT
cana-1625	276	19	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	276	20	,	,	PUNCT
cana-1625	276	21	�	�	PROPN
cana-1625	276	22	̈	̈	X
cana-1625	276	23	�	�	PROPN
cana-1625	276	24	𝔨	𝔨	PROPN
cana-1625	276	25	,	,	PUNCT
cana-1625	276	26	𝜚	𝜚	NOUN
cana-1625	276	27	)	)	PUNCT
cana-1625	276	28	,	,	PUNCT
cana-1625	276	29	ℜ(𝔏𝜍̃	ℜ(𝔏𝜍̃	NOUN
cana-1625	276	30	,	,	PUNCT
cana-1625	276	31	�	�	PROPN
cana-1625	276	32	̈	̈	X
cana-1625	276	33	�	�	PROPN
cana-1625	276	34	𝜍̃	𝜍̃	PROPN
cana-1625	276	35	,	,	PUNCT
cana-1625	276	36	𝜚	𝜚	NOUN
cana-1625	276	37	)	)	PUNCT
cana-1625	276	38	}	}	PUNCT
cana-1625	276	39	=	=	X
cana-1625	276	40	�	�	PROPN
cana-1625	276	41	̃	̃	PROPN
cana-1625	276	42	�	�	PROPN
cana-1625	276	43	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	276	44	,	,	PUNCT
cana-1625	276	45	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	46	,	,	PUNCT
cana-1625	276	47	𝜚	𝜚	NOUN
cana-1625	276	48	)	)	PUNCT
cana-1625	276	49	+	+	CCONJ
cana-1625	276	50	�	�	PROPN
cana-1625	276	51	̃	̃	PROPN
cana-1625	276	52	�	�	PROPN
cana-1625	276	53	𝑚𝑖𝑛{ℜ(𝔏𝔨	𝑚𝑖𝑛{ℜ(𝔏𝔨	ADV
cana-1625	276	54	,	,	PUNCT
cana-1625	276	55	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	56	,	,	PUNCT
cana-1625	276	57	𝜚	𝜚	NOUN
cana-1625	276	58	)	)	PUNCT
cana-1625	276	59	,	,	PUNCT
cana-1625	276	60	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	276	61	,	,	PUNCT
cana-1625	276	62	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	276	63	,	,	PUNCT
cana-1625	276	64	𝜚	𝜚	NOUN
cana-1625	276	65	)	)	PUNCT
cana-1625	276	66	,	,	PUNCT
cana-1625	276	67	ℜ(𝔏𝜍̃	ℜ(𝔏𝜍̃	NOUN
cana-1625	276	68	,	,	PUNCT
cana-1625	276	69	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	70	,	,	PUNCT
cana-1625	276	71	𝜚	𝜚	NOUN
cana-1625	276	72	)	)	PUNCT
cana-1625	276	73	}	}	PUNCT
cana-1625	276	74	=	=	SYM
cana-1625	276	75	�	�	PROPN
cana-1625	276	76	̃	̃	PROPN
cana-1625	276	77	�	�	PROPN
cana-1625	276	78	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	276	79	,	,	PUNCT
cana-1625	276	80	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	81	,	,	PUNCT
cana-1625	276	82	𝜚	𝜚	NOUN
cana-1625	276	83	)	)	PUNCT
cana-1625	276	84	+	+	CCONJ
cana-1625	276	85	�	�	PROPN
cana-1625	276	86	̃	̃	PROPN
cana-1625	276	87	�	�	PROPN
cana-1625	276	88	𝑚𝑖𝑛{ℜ(𝔏𝔨	𝑚𝑖𝑛{ℜ(𝔏𝔨	ADV
cana-1625	276	89	,	,	PUNCT
cana-1625	276	90	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	91	,	,	PUNCT
cana-1625	276	92	𝜚	𝜚	NOUN
cana-1625	276	93	)	)	PUNCT
cana-1625	276	94	,	,	PUNCT
cana-1625	276	95	1,1	1,1	NUM
cana-1625	276	96	}	}	PUNCT
cana-1625	276	97	=	=	SYM
cana-1625	276	98	�	�	PROPN
cana-1625	276	99	̃	̃	PROPN
cana-1625	276	100	�	�	PROPN
cana-1625	276	101	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	276	102	,	,	PUNCT
cana-1625	276	103	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	276	104	,	,	PUNCT
cana-1625	276	105	𝜚	𝜚	NOUN
cana-1625	276	106	)	)	PUNCT
cana-1625	277	1	+	+	CCONJ
cana-1625	277	2	�	�	PROPN
cana-1625	277	3	̃	̃	PROPN
cana-1625	277	4	�	�	NOUN
cana-1625	277	5	ℜ(𝔏𝔨	ℜ(𝔏𝔨	NOUN
cana-1625	277	6	,	,	PUNCT
cana-1625	277	7	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	277	8	,	,	PUNCT
cana-1625	277	9	𝜚	𝜚	NOUN
cana-1625	277	10	)	)	PUNCT
cana-1625	277	11	=	=	SYM
cana-1625	277	12	(	(	PUNCT
cana-1625	277	13	�	�	PROPN
cana-1625	277	14	̃	̃	NOUN
cana-1625	277	15	�	�	PROPN
cana-1625	277	16	+	+	SYM
cana-1625	277	17	�	�	PROPN
cana-1625	277	18	̃	̃	PROPN
cana-1625	277	19	�	�	PROPN
cana-1625	277	20	)ℜ(𝔏𝔨	)ℜ(𝔏𝔨	PROPN
cana-1625	277	21	,	,	PUNCT
cana-1625	277	22	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	277	23	,	,	PUNCT
cana-1625	277	24	𝜚	𝜚	NOUN
cana-1625	277	25	)	)	PUNCT
cana-1625	277	26	.	.	PUNCT
cana-1625	278	1	communications	communication	NOUN
cana-1625	278	2	on	on	ADP
cana-1625	278	3	applied	apply	VERB
cana-1625	278	4	nonlinear	nonlinear	ADJ
cana-1625	278	5	analysis	analysis	NOUN
cana-1625	278	6	issn	issn	NOUN
cana-1625	278	7	:	:	PUNCT
cana-1625	278	8	1074	1074	NUM
cana-1625	278	9	-	-	PUNCT
cana-1625	278	10	133x	133x	NUM
cana-1625	278	11	vol	vol	NOUN
cana-1625	278	12	32	32	NUM
cana-1625	278	13	no	no	NOUN
cana-1625	278	14	.	.	NOUN
cana-1625	278	15	1	1	NUM
cana-1625	278	16	(	(	PUNCT
cana-1625	278	17	2025	2025	NUM
cana-1625	278	18	)	)	PUNCT
cana-1625	278	19	126	126	NUM
cana-1625	278	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1625	278	21	since	since	SCONJ
cana-1625	278	22	�	�	PROPN
cana-1625	278	23	̃	̃	PROPN
cana-1625	278	24	�	�	PROPN
cana-1625	278	25	+	+	SYM
cana-1625	278	26	�	�	PROPN
cana-1625	278	27	̃	̃	PROPN
cana-1625	278	28	�	�	PROPN
cana-1625	278	29	≥	≥	NUM
cana-1625	278	30	1	1	NUM
cana-1625	278	31	,	,	PUNCT
cana-1625	278	32	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	278	33	,	,	PUNCT
cana-1625	278	34	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	278	35	,	,	PUNCT
cana-1625	278	36	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	278	37	)	)	PUNCT
cana-1625	278	38	≥	≥	NOUN
cana-1625	278	39	ℜ(𝔏𝔨	ℜ(𝔏𝔨	PROPN
cana-1625	278	40	,	,	PUNCT
cana-1625	278	41	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	278	42	,	,	PUNCT
cana-1625	278	43	𝜚	𝜚	NOUN
cana-1625	278	44	)	)	PUNCT
cana-1625	278	45	.	.	PUNCT
cana-1625	279	1	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	279	2	,	,	PUNCT
cana-1625	279	3	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	279	4	,	,	PUNCT
cana-1625	279	5	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	279	6	)	)	PUNCT
cana-1625	279	7	≤	≤	NUM
cana-1625	279	8	�	�	PROPN
cana-1625	279	9	̃	̃	PROPN
cana-1625	279	10	�	�	PROPN
cana-1625	279	11	𝔖(	𝔖(	X
cana-1625	279	12	�	�	PROPN
cana-1625	279	13	̈	̈	X
cana-1625	279	14	�	�	PROPN
cana-1625	279	15	𝔨	𝔨	PROPN
cana-1625	279	16	,	,	PUNCT
cana-1625	279	17	�	�	PROPN
cana-1625	279	18	̈	̈	X
cana-1625	279	19	�	�	PROPN
cana-1625	279	20	𝜍̃	𝜍̃	PROPN
cana-1625	279	21	,	,	PUNCT
cana-1625	279	22	𝜚	𝜚	NOUN
cana-1625	279	23	)	)	PUNCT
cana-1625	279	24	+	+	CCONJ
cana-1625	279	25	�	�	PROPN
cana-1625	279	26	̃	̃	PROPN
cana-1625	279	27	�	�	PROPN
cana-1625	279	28	𝑚𝑎𝑥{𝔖(	𝑚𝑎𝑥{𝔖(	SYM
cana-1625	279	29	�	�	PROPN
cana-1625	279	30	̈	̈	X
cana-1625	279	31	�	�	PROPN
cana-1625	279	32	𝔨	𝔨	PROPN
cana-1625	279	33	,	,	PUNCT
cana-1625	279	34	�	�	PROPN
cana-1625	279	35	̈	̈	X
cana-1625	279	36	�	�	PROPN
cana-1625	279	37	𝜍̃	𝜍̃	PROPN
cana-1625	279	38	,	,	PUNCT
cana-1625	279	39	𝜚	𝜚	NOUN
cana-1625	279	40	)	)	PUNCT
cana-1625	279	41	,	,	PUNCT
cana-1625	279	42	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	279	43	,	,	PUNCT
cana-1625	279	44	�	�	PROPN
cana-1625	279	45	̈	̈	X
cana-1625	279	46	�	�	PROPN
cana-1625	279	47	𝔨	𝔨	PROPN
cana-1625	279	48	,	,	PUNCT
cana-1625	279	49	𝜚	𝜚	NOUN
cana-1625	279	50	)	)	PUNCT
cana-1625	279	51	,	,	PUNCT
cana-1625	279	52	𝔖(𝔏𝜍̃	𝔖(𝔏𝜍̃	NUM
cana-1625	279	53	,	,	PUNCT
cana-1625	279	54	�	�	PROPN
cana-1625	279	55	̈	̈	X
cana-1625	279	56	�	�	PROPN
cana-1625	279	57	𝜍̃	𝜍̃	PROPN
cana-1625	279	58	,	,	PUNCT
cana-1625	279	59	𝜚	𝜚	NOUN
cana-1625	279	60	)	)	PUNCT
cana-1625	279	61	}	}	PUNCT
cana-1625	279	62	=	=	SYM
cana-1625	279	63	�	�	PROPN
cana-1625	279	64	̃	̃	PROPN
cana-1625	279	65	�	�	PROPN
cana-1625	279	66	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	279	67	,	,	PUNCT
cana-1625	279	68	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	279	69	,	,	PUNCT
cana-1625	279	70	𝜚	𝜚	NOUN
cana-1625	279	71	)	)	PUNCT
cana-1625	279	72	+	+	CCONJ
cana-1625	279	73	�	�	PROPN
cana-1625	279	74	̃	̃	NOUN
cana-1625	279	75	�	�	PROPN
cana-1625	279	76	𝑚𝑎𝑥{𝔖(𝔏𝔨	𝑚𝑎𝑥{𝔖(𝔏𝔨	X
cana-1625	279	77	,	,	PUNCT
cana-1625	279	78	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	279	79	,	,	PUNCT
cana-1625	279	80	𝜚	𝜚	NOUN
cana-1625	279	81	)	)	PUNCT
cana-1625	279	82	,	,	PUNCT
cana-1625	279	83	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	279	84	,	,	PUNCT
cana-1625	279	85	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	279	86	,	,	PUNCT
cana-1625	279	87	𝜚	𝜚	NOUN
cana-1625	279	88	)	)	PUNCT
cana-1625	279	89	,	,	PUNCT
cana-1625	279	90	𝔖(𝔏𝜍̃	𝔖(𝔏𝜍̃	NOUN
cana-1625	279	91	,	,	PUNCT
cana-1625	279	92	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	279	93	,	,	PUNCT
cana-1625	279	94	𝜚	𝜚	NOUN
cana-1625	279	95	)	)	PUNCT
cana-1625	279	96	}	}	PUNCT
cana-1625	279	97	=	=	SYM
cana-1625	279	98	�	�	PROPN
cana-1625	279	99	̃	̃	PROPN
cana-1625	279	100	�	�	PROPN
cana-1625	279	101	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	279	102	,	,	PUNCT
cana-1625	279	103	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	279	104	,	,	PUNCT
cana-1625	279	105	𝜚	𝜚	NOUN
cana-1625	279	106	)	)	PUNCT
cana-1625	280	1	+	+	CCONJ
cana-1625	280	2	�	�	PROPN
cana-1625	280	3	̃	̃	NOUN
cana-1625	280	4	�	�	PROPN
cana-1625	280	5	𝑚𝑎𝑥{𝔖(𝔏𝔨	𝑚𝑎𝑥{𝔖(𝔏𝔨	X
cana-1625	280	6	,	,	PUNCT
cana-1625	280	7	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	280	8	,	,	PUNCT
cana-1625	280	9	𝜚	𝜚	NOUN
cana-1625	280	10	)	)	PUNCT
cana-1625	280	11	,	,	PUNCT
cana-1625	280	12	0,0	0,0	NUM
cana-1625	280	13	}	}	PUNCT
cana-1625	280	14	=	=	SYM
cana-1625	280	15	�	�	PROPN
cana-1625	280	16	̃	̃	PROPN
cana-1625	280	17	�	�	PROPN
cana-1625	280	18	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	280	19	,	,	PUNCT
cana-1625	280	20	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	280	21	,	,	PUNCT
cana-1625	280	22	𝜚	𝜚	NOUN
cana-1625	280	23	)	)	PUNCT
cana-1625	281	1	+	+	CCONJ
cana-1625	281	2	�	�	PROPN
cana-1625	281	3	̃	̃	PROPN
cana-1625	281	4	�	�	NOUN
cana-1625	281	5	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	281	6	,	,	PUNCT
cana-1625	281	7	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	281	8	,	,	PUNCT
cana-1625	281	9	𝜚	𝜚	NOUN
cana-1625	281	10	)	)	PUNCT
cana-1625	281	11	=	=	SYM
cana-1625	281	12	(	(	PUNCT
cana-1625	281	13	�	�	PROPN
cana-1625	281	14	̃	̃	NOUN
cana-1625	281	15	�	�	PROPN
cana-1625	281	16	+	+	SYM
cana-1625	281	17	�	�	PROPN
cana-1625	281	18	̃	̃	PROPN
cana-1625	281	19	�	�	PROPN
cana-1625	281	20	)𝔖(𝔏𝔨	)𝔖(𝔏𝔨	PROPN
cana-1625	281	21	,	,	PUNCT
cana-1625	281	22	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	281	23	,	,	PUNCT
cana-1625	281	24	𝜚	𝜚	NOUN
cana-1625	281	25	)	)	PUNCT
cana-1625	281	26	.	.	PUNCT
cana-1625	282	1	since	since	SCONJ
cana-1625	282	2	�	�	PROPN
cana-1625	282	3	̃	̃	PROPN
cana-1625	282	4	�	�	PROPN
cana-1625	282	5	+	+	SYM
cana-1625	282	6	�	�	PROPN
cana-1625	282	7	̃	̃	PROPN
cana-1625	282	8	�	�	PROPN
cana-1625	282	9	≥	≥	NUM
cana-1625	282	10	1	1	NUM
cana-1625	282	11	,	,	PUNCT
cana-1625	282	12	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	282	13	,	,	PUNCT
cana-1625	282	14	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	282	15	,	,	PUNCT
cana-1625	282	16	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	282	17	)	)	PUNCT
cana-1625	282	18	≤	≤	NOUN
cana-1625	282	19	𝔖(𝔏𝔨	𝔖(𝔏𝔨	NUM
cana-1625	282	20	,	,	PUNCT
cana-1625	282	21	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	282	22	,	,	PUNCT
cana-1625	282	23	𝜚	𝜚	NOUN
cana-1625	282	24	)	)	PUNCT
cana-1625	282	25	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	282	26	,	,	PUNCT
cana-1625	282	27	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	282	28	,	,	PUNCT
cana-1625	282	29	𝔡𝜚	𝔡𝜚	ADJ
cana-1625	282	30	)	)	PUNCT
cana-1625	282	31	≤	≤	NUM
cana-1625	282	32	�	�	PROPN
cana-1625	282	33	̃	̃	PROPN
cana-1625	282	34	�	�	PROPN
cana-1625	282	35	𝔗(	𝔗(	X
cana-1625	282	36	�	�	PROPN
cana-1625	282	37	̈	̈	X
cana-1625	282	38	�	�	PROPN
cana-1625	282	39	𝔨	𝔨	PROPN
cana-1625	282	40	,	,	PUNCT
cana-1625	282	41	�	�	PROPN
cana-1625	282	42	̈	̈	X
cana-1625	282	43	�	�	PROPN
cana-1625	282	44	𝜍̃	𝜍̃	PROPN
cana-1625	282	45	,	,	PUNCT
cana-1625	282	46	𝜚	𝜚	NOUN
cana-1625	282	47	)	)	PUNCT
cana-1625	283	1	+	+	CCONJ
cana-1625	283	2	�	�	PROPN
cana-1625	283	3	̃	̃	PROPN
cana-1625	283	4	�	�	PROPN
cana-1625	283	5	𝑚𝑎𝑥{𝔗(	𝑚𝑎𝑥{𝔗(	SYM
cana-1625	283	6	�	�	PROPN
cana-1625	283	7	̈	̈	X
cana-1625	283	8	�	�	PROPN
cana-1625	283	9	𝔨	𝔨	PROPN
cana-1625	283	10	,	,	PUNCT
cana-1625	283	11	�	�	PROPN
cana-1625	283	12	̈	̈	X
cana-1625	283	13	�	�	PROPN
cana-1625	283	14	𝜍̃	𝜍̃	PROPN
cana-1625	283	15	,	,	PUNCT
cana-1625	283	16	𝜚	𝜚	NOUN
cana-1625	283	17	)	)	PUNCT
cana-1625	283	18	,	,	PUNCT
cana-1625	283	19	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	283	20	,	,	PUNCT
cana-1625	283	21	�	�	PROPN
cana-1625	283	22	̈	̈	X
cana-1625	283	23	�	�	PROPN
cana-1625	283	24	𝔨	𝔨	PROPN
cana-1625	283	25	,	,	PUNCT
cana-1625	283	26	𝜚	𝜚	NOUN
cana-1625	283	27	)	)	PUNCT
cana-1625	283	28	,	,	PUNCT
cana-1625	283	29	𝔗(𝔏𝜍̃	𝔗(𝔏𝜍̃	VERB
cana-1625	283	30	,	,	PUNCT
cana-1625	283	31	�	�	PROPN
cana-1625	283	32	̈	̈	X
cana-1625	283	33	�	�	PROPN
cana-1625	283	34	𝜍̃	𝜍̃	PROPN
cana-1625	283	35	,	,	PUNCT
cana-1625	283	36	𝜚	𝜚	NOUN
cana-1625	283	37	)	)	PUNCT
cana-1625	283	38	}	}	PUNCT
cana-1625	283	39	=	=	SYM
cana-1625	283	40	�	�	PROPN
cana-1625	283	41	̃	̃	PROPN
cana-1625	283	42	�	�	PROPN
cana-1625	283	43	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	283	44	,	,	PUNCT
cana-1625	283	45	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	283	46	,	,	PUNCT
cana-1625	283	47	𝜚	𝜚	NOUN
cana-1625	283	48	)	)	PUNCT
cana-1625	283	49	+	+	CCONJ
cana-1625	283	50	�	�	PROPN
cana-1625	283	51	̃	̃	PROPN
cana-1625	283	52	�	�	PROPN
cana-1625	283	53	𝑚𝑎𝑥{𝔗(𝔏𝔨	𝑚𝑎𝑥{𝔗(𝔏𝔨	ADP
cana-1625	283	54	,	,	PUNCT
cana-1625	283	55	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	283	56	,	,	PUNCT
cana-1625	283	57	𝜚	𝜚	NOUN
cana-1625	283	58	)	)	PUNCT
cana-1625	283	59	,	,	PUNCT
cana-1625	283	60	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	283	61	,	,	PUNCT
cana-1625	283	62	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	283	63	,	,	PUNCT
cana-1625	283	64	𝜚	𝜚	NOUN
cana-1625	283	65	)	)	PUNCT
cana-1625	283	66	,	,	PUNCT
cana-1625	283	67	𝔗(𝔏𝜍̃	𝔗(𝔏𝜍̃	VERB
cana-1625	283	68	,	,	PUNCT
cana-1625	283	69	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	283	70	,	,	PUNCT
cana-1625	283	71	𝜚	𝜚	NOUN
cana-1625	283	72	)	)	PUNCT
cana-1625	283	73	}	}	PUNCT
cana-1625	283	74	=	=	SYM
cana-1625	283	75	�	�	PROPN
cana-1625	283	76	̃	̃	PROPN
cana-1625	283	77	�	�	PROPN
cana-1625	283	78	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	283	79	,	,	PUNCT
cana-1625	283	80	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	283	81	,	,	PUNCT
cana-1625	283	82	𝜚	𝜚	NOUN
cana-1625	283	83	)	)	PUNCT
cana-1625	284	1	+	+	CCONJ
cana-1625	284	2	�	�	PROPN
cana-1625	284	3	̃	̃	PROPN
cana-1625	284	4	�	�	PROPN
cana-1625	284	5	𝑚𝑎𝑥{𝔗(𝔏𝔨	𝑚𝑎𝑥{𝔗(𝔏𝔨	ADP
cana-1625	284	6	,	,	PUNCT
cana-1625	284	7	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	284	8	,	,	PUNCT
cana-1625	284	9	𝜚	𝜚	NOUN
cana-1625	284	10	)	)	PUNCT
cana-1625	284	11	,	,	PUNCT
cana-1625	284	12	0,0	0,0	NOUN
cana-1625	284	13	}	}	PUNCT
cana-1625	284	14	=	=	SYM
cana-1625	284	15	�	�	PROPN
cana-1625	284	16	̃	̃	PROPN
cana-1625	284	17	�	�	PROPN
cana-1625	284	18	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PROPN
cana-1625	284	19	,	,	PUNCT
cana-1625	284	20	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	284	21	,	,	PUNCT
cana-1625	284	22	𝜚	𝜚	NOUN
cana-1625	284	23	)	)	PUNCT
cana-1625	284	24	+	+	CCONJ
cana-1625	284	25	�	�	PROPN
cana-1625	284	26	̃	̃	PROPN
cana-1625	284	27	�	�	NOUN
cana-1625	284	28	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	284	29	,	,	PUNCT
cana-1625	284	30	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	284	31	,	,	PUNCT
cana-1625	284	32	𝜚	𝜚	NOUN
cana-1625	284	33	)	)	PUNCT
cana-1625	284	34	=	=	SYM
cana-1625	284	35	(	(	PUNCT
cana-1625	284	36	�	�	PROPN
cana-1625	284	37	̃	̃	NOUN
cana-1625	284	38	�	�	PROPN
cana-1625	284	39	+	+	SYM
cana-1625	284	40	�	�	PROPN
cana-1625	284	41	̃	̃	PROPN
cana-1625	284	42	�	�	PROPN
cana-1625	284	43	)𝔗(𝔏𝔨	)𝔗(𝔏𝔨	PROPN
cana-1625	284	44	,	,	PUNCT
cana-1625	284	45	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	284	46	,	,	PUNCT
cana-1625	284	47	𝜚	𝜚	NOUN
cana-1625	284	48	)	)	PUNCT
cana-1625	284	49	.	.	PUNCT
cana-1625	285	1	since	since	SCONJ
cana-1625	285	2	�	�	PROPN
cana-1625	285	3	̃	̃	PROPN
cana-1625	285	4	�	�	PROPN
cana-1625	285	5	+	+	SYM
cana-1625	285	6	�	�	PROPN
cana-1625	285	7	̃	̃	PROPN
cana-1625	285	8	�	�	PROPN
cana-1625	285	9	≥	≥	NUM
cana-1625	285	10	1	1	NUM
cana-1625	285	11	,	,	PUNCT
cana-1625	285	12	𝔗(𝔏𝔨	𝔗(𝔏𝔨	PRON
cana-1625	285	13	,	,	PUNCT
cana-1625	285	14	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	285	15	,	,	PUNCT
cana-1625	285	16	𝔡𝜚	𝔡𝜚	NOUN
cana-1625	285	17	)	)	PUNCT
cana-1625	285	18	≤	≤	NOUN
cana-1625	285	19	𝔗(𝔏𝔨	𝔗(𝔏𝔨	NOUN
cana-1625	285	20	,	,	PUNCT
cana-1625	285	21	𝔏𝜍̃	𝔏𝜍̃	NOUN
cana-1625	285	22	,	,	PUNCT
cana-1625	285	23	𝜚	𝜚	NOUN
cana-1625	285	24	)	)	PUNCT
cana-1625	285	25	.	.	PUNCT
cana-1625	286	1	in	in	ADP
cana-1625	286	2	view	view	NOUN
cana-1625	286	3	of	of	ADP
cana-1625	286	4	lemma	lemma	PROPN
cana-1625	286	5	(	(	PUNCT
cana-1625	286	6	2.10	2.10	NUM
cana-1625	286	7	)	)	PUNCT
cana-1625	286	8	,	,	PUNCT
cana-1625	286	9	we	we	PRON
cana-1625	286	10	have	have	VERB
cana-1625	286	11	𝔏𝔨	𝔏𝔨	PROPN
cana-1625	286	12	=	=	PUNCT
cana-1625	286	13	𝔏𝜍̃	𝔏𝜍̃	X
cana-1625	286	14	and	and	CCONJ
cana-1625	286	15	consequently	consequently	ADV
cana-1625	286	16	�	�	PROPN
cana-1625	286	17	̈	̈	X
cana-1625	286	18	�	�	PROPN
cana-1625	286	19	𝔨	𝔨	NOUN
cana-1625	286	20	=	=	SYM
cana-1625	286	21	�	�	PROPN
cana-1625	286	22	̈	̈	SYM
cana-1625	286	23	�	�	NOUN
cana-1625	286	24	𝜍̃.	𝜍̃.	NOUN
cana-1625	286	25	therefore	therefore	ADV
cana-1625	286	26	the	the	DET
cana-1625	286	27	pair	pair	NOUN
cana-1625	286	28	{	{	PUNCT
cana-1625	286	29	𝔄,̈	𝔄,̈	PROPN
cana-1625	286	30	𝔏	𝔏	PROPN
cana-1625	286	31	}	}	PUNCT
cana-1625	286	32	have	have	VERB
cana-1625	286	33	a	a	DET
cana-1625	286	34	unique	unique	ADJ
cana-1625	286	35	point	point	NOUN
cana-1625	286	36	of	of	ADP
cana-1625	286	37	coincidence	coincidence	NOUN
cana-1625	286	38	𝜁	𝜁	PROPN
cana-1625	286	39	=	=	SYM
cana-1625	286	40	�	�	PROPN
cana-1625	286	41	̈	̈	X
cana-1625	286	42	�	�	NOUN
cana-1625	286	43	𝔨	𝔨	NOUN
cana-1625	286	44	=	=	PUNCT
cana-1625	286	45	𝔏𝜍̃.	𝔏𝜍̃.	PROPN
cana-1625	286	46	thus	thus	ADV
cana-1625	286	47	,	,	PUNCT
cana-1625	286	48	�	�	PROPN
cana-1625	286	49	̈	̈	SYM
cana-1625	286	50	�	�	PROPN
cana-1625	286	51	and	and	CCONJ
cana-1625	286	52	𝔏	𝔏	PROPN
cana-1625	286	53	have	have	VERB
cana-1625	286	54	a	a	DET
cana-1625	286	55	unique	unique	ADJ
cana-1625	286	56	common	common	ADJ
cana-1625	286	57	fixed	fix	VERB
cana-1625	286	58	point	point	NOUN
cana-1625	286	59	in	in	ADP
cana-1625	286	60	ξ	ξ	PROPN
cana-1625	286	61	.	.	PUNCT
cana-1625	287	1	references	reference	NOUN
cana-1625	287	2	[	[	X
cana-1625	288	1	1	1	NUM
cana-1625	288	2	]	]	PUNCT
cana-1625	288	3	k.	k.	PROPN
cana-1625	288	4	atanassov	atanassov	PROPN
cana-1625	288	5	,	,	PUNCT
cana-1625	288	6	on	on	ADP
cana-1625	288	7	intuitionistic	intuitionistic	ADJ
cana-1625	288	8	fuzzy	fuzzy	ADJ
cana-1625	288	9	sets	set	NOUN
cana-1625	288	10	,	,	PUNCT
cana-1625	288	11	fuzzy	fuzzy	ADJ
cana-1625	288	12	sets	set	NOUN
cana-1625	288	13	and	and	CCONJ
cana-1625	288	14	systems	system	NOUN
cana-1625	288	15	,	,	PUNCT
cana-1625	288	16	20	20	NUM
cana-1625	288	17	(	(	PUNCT
cana-1625	288	18	1986),87	1986),87	NUM
cana-1625	288	19	–	–	PUNCT
cana-1625	288	20	96	96	NUM
cana-1625	288	21	.	.	PUNCT
cana-1625	289	1	[	[	X
cana-1625	289	2	2	2	X
cana-1625	289	3	]	]	X
cana-1625	289	4	akbar	akbar	NOUN
cana-1625	289	5	azam	azam	PROPN
cana-1625	289	6	,	,	PUNCT
cana-1625	289	7	shaziakanwal	shaziakanwal	NOUN
cana-1625	289	8	,	,	PUNCT
cana-1625	289	9	introduction	introduction	NOUN
cana-1625	289	10	to	to	ADP
cana-1625	289	11	intuitionistic	intuitionistic	ADJ
cana-1625	289	12	fuzzy	fuzzy	ADJ
cana-1625	289	13	b	b	NOUN
cana-1625	289	14	-	-	PUNCT
cana-1625	289	15	metric	metric	ADJ
cana-1625	289	16	spaces	space	NOUN
cana-1625	289	17	and	and	CCONJ
cana-1625	289	18	fixed	fix	VERB
cana-1625	289	19	point	point	NOUN
cana-1625	289	20	results	result	NOUN
cana-1625	289	21	,	,	PUNCT
cana-1625	289	22	20	20	NUM
cana-1625	289	23	(	(	PUNCT
cana-1625	289	24	2022	2022	NUM
cana-1625	289	25	)	)	PUNCT
cana-1625	289	26	,	,	PUNCT
cana-1625	289	27	141	141	NUM
cana-1625	289	28	–	–	SYM
cana-1625	289	29	163	163	NUM
cana-1625	289	30	.	.	PUNCT
cana-1625	290	1	[	[	X
cana-1625	290	2	3	3	NUM
cana-1625	290	3	]	]	PUNCT
cana-1625	290	4	a.	a.	NOUN
cana-1625	290	5	george	george	PROPN
cana-1625	290	6	and	and	CCONJ
cana-1625	290	7	p.	p.	PROPN
cana-1625	290	8	veeramani	veeramani	PROPN
cana-1625	290	9	,	,	PUNCT
cana-1625	290	10	on	on	ADP
cana-1625	290	11	some	some	DET
cana-1625	290	12	results	result	NOUN
cana-1625	290	13	in	in	ADP
cana-1625	290	14	fuzzy	fuzzy	ADJ
cana-1625	290	15	metric	metric	ADJ
cana-1625	290	16	spaces	space	NOUN
cana-1625	290	17	,	,	PUNCT
cana-1625	290	18	fuzzy	fuzzy	ADJ
cana-1625	290	19	sets	set	NOUN
cana-1625	290	20	and	and	CCONJ
cana-1625	290	21	systems	system	NOUN
cana-1625	290	22	,	,	PUNCT
cana-1625	290	23	64	64	NUM
cana-1625	290	24	(	(	PUNCT
cana-1625	290	25	1994	1994	NUM
cana-1625	290	26	)	)	PUNCT
cana-1625	290	27	,	,	PUNCT
cana-1625	290	28	395	395	NUM
cana-1625	290	29	–	–	SYM
cana-1625	290	30	399	399	NUM
cana-1625	290	31	.	.	PUNCT
cana-1625	291	1	[	[	X
cana-1625	291	2	4	4	NUM
cana-1625	291	3	]	]	PUNCT
cana-1625	291	4	m.	m.	NOUN
cana-1625	291	5	jeyaraman	jeyaraman	PROPN
cana-1625	291	6	,	,	PUNCT
cana-1625	291	7	s.	s.	PROPN
cana-1625	291	8	sowndrarajan	sowndrarajan	PROPN
cana-1625	291	9	,	,	PUNCT
cana-1625	291	10	common	common	ADJ
cana-1625	291	11	fixed	fix	VERB
cana-1625	291	12	point	point	NOUN
cana-1625	291	13	results	result	NOUN
cana-1625	291	14	in	in	ADP
cana-1625	291	15	neutrosophic	neutrosophic	ADJ
cana-1625	291	16	metric	metric	ADJ
cana-1625	291	17	space	space	NOUN
cana-1625	291	18	,	,	PUNCT
cana-1625	291	19	neutrosophic	neutrosophic	ADJ
cana-1625	291	20	sets	set	NOUN
cana-1625	291	21	and	and	CCONJ
cana-1625	291	22	systems	system	NOUN
cana-1625	291	23	42(2019	42(2019	NUM
cana-1625	291	24	)	)	PUNCT
cana-1625	291	25	,	,	PUNCT
cana-1625	291	26	208	208	NUM
cana-1625	291	27	–	–	SYM
cana-1625	291	28	220	220	NUM
cana-1625	291	29	.	.	PUNCT
cana-1625	292	1	[	[	X
cana-1625	292	2	5	5	X
cana-1625	292	3	]	]	PUNCT
cana-1625	292	4	g.	g.	PROPN
cana-1625	292	5	jungck	jungck	PROPN
cana-1625	292	6	,	,	PUNCT
cana-1625	292	7	compatible	compatible	ADJ
cana-1625	292	8	mappings	mapping	NOUN
cana-1625	292	9	and	and	CCONJ
cana-1625	292	10	common	common	ADJ
cana-1625	292	11	fixed	fix	VERB
cana-1625	292	12	points	point	NOUN
cana-1625	292	13	,	,	PUNCT
cana-1625	292	14	internat	internat	PROPN
cana-1625	292	15	.	.	PUNCT
cana-1625	292	16	math	math	NOUN
cana-1625	292	17	.	.	PUNCT
cana-1625	293	1	j.maths	j.maths	PROPN
cana-1625	293	2	.	.	PUNCT
cana-1625	294	1	sci	sci	PROPN
cana-1625	294	2	.	.	PROPN
cana-1625	294	3	,	,	PUNCT
cana-1625	294	4	9	9	NUM
cana-1625	294	5	(	(	PUNCT
cana-1625	294	6	1986	1986	NUM
cana-1625	294	7	)	)	PUNCT
cana-1625	294	8	,	,	PUNCT
cana-1625	294	9	771	771	NUM
cana-1625	294	10	–	–	PUNCT
cana-1625	294	11	779	779	NUM
cana-1625	294	12	.	.	PUNCT
cana-1625	295	1	[	[	X
cana-1625	295	2	6	6	NUM
cana-1625	295	3	]	]	PUNCT
cana-1625	295	4	i.	i.	NOUN
cana-1625	295	5	kramosil	kramosil	PROPN
cana-1625	295	6	and	and	CCONJ
cana-1625	295	7	j.	j.	PROPN
cana-1625	295	8	michalek	michalek	PROPN
cana-1625	295	9	,	,	PUNCT
cana-1625	295	10	on	on	ADP
cana-1625	295	11	fuzzy	fuzzy	ADJ
cana-1625	295	12	metric	metric	ADJ
cana-1625	295	13	and	and	CCONJ
cana-1625	295	14	statistical	statistical	ADJ
cana-1625	295	15	spaces	space	NOUN
cana-1625	295	16	,	,	PUNCT
cana-1625	295	17	kybernetica,11(1975	kybernetica,11(1975	PROPN
cana-1625	295	18	)	)	PUNCT
cana-1625	295	19	,	,	PUNCT
cana-1625	295	20	336	336	NUM
cana-1625	295	21	–	–	PUNCT
cana-1625	295	22	344	344	NUM
cana-1625	295	23	.	.	PUNCT
cana-1625	296	1	[	[	X
cana-1625	296	2	7	7	X
cana-1625	296	3	]	]	PUNCT
cana-1625	296	4	j.	j.	PROPN
cana-1625	296	5	h.	h.	PROPN
cana-1625	296	6	park	park	PROPN
cana-1625	296	7	,	,	PUNCT
cana-1625	296	8	on	on	ADP
cana-1625	296	9	intuitionstic	intuitionstic	ADJ
cana-1625	296	10	fuzzy	fuzzy	ADJ
cana-1625	296	11	metric	metric	ADJ
cana-1625	296	12	spaces	space	NOUN
cana-1625	296	13	,	,	PUNCT
cana-1625	296	14	chaos	chaos	NOUN
cana-1625	296	15	,	,	PUNCT
cana-1625	296	16	solitons	soliton	NOUN
cana-1625	296	17	fractals,22(2004	fractals,22(2004	NOUN
cana-1625	296	18	)	)	PUNCT
cana-1625	296	19	,	,	PUNCT
cana-1625	296	20	1039	1039	NUM
cana-1625	296	21	–	–	PUNCT
cana-1625	296	22	1046	1046	NUM
cana-1625	296	23	.	.	PUNCT
cana-1625	297	1	[	[	X
cana-1625	297	2	8	8	NUM
cana-1625	297	3	]	]	X
cana-1625	297	4	r.	r.	PROPN
cana-1625	297	5	saadati	saadati	PROPN
cana-1625	297	6	,	,	PUNCT
cana-1625	297	7	j.	j.	PROPN
cana-1625	297	8	h.	h.	PROPN
cana-1625	297	9	park	park	PROPN
cana-1625	297	10	,	,	PUNCT
cana-1625	297	11	on	on	ADP
cana-1625	297	12	the	the	DET
cana-1625	297	13	intuitionstic	intuitionstic	ADJ
cana-1625	297	14	fuzzy	fuzzy	ADJ
cana-1625	297	15	topological	topological	ADJ
cana-1625	297	16	spaces	space	NOUN
cana-1625	297	17	,	,	PUNCT
cana-1625	297	18	chaos	chaos	NOUN
cana-1625	297	19	solitons	soliton	NOUN
cana-1625	297	20	fractals	fractal	NOUN
cana-1625	297	21	,	,	PUNCT
cana-1625	297	22	27	27	NUM
cana-1625	297	23	(	(	PUNCT
cana-1625	297	24	2006	2006	NUM
cana-1625	297	25	)	)	PUNCT
cana-1625	297	26	,	,	PUNCT
cana-1625	297	27	331	331	NUM
cana-1625	297	28	–	–	PUNCT
cana-1625	297	29	344	344	NUM
cana-1625	297	30	.	.	PUNCT
cana-1625	298	1	[	[	X
cana-1625	298	2	9	9	NUM
cana-1625	298	3	]	]	SYM
cana-1625	298	4	f.smarandache	f.smarandache	NOUN
cana-1625	298	5	,	,	PUNCT
cana-1625	298	6	neutrosophy	neutrosophy	NOUN
cana-1625	298	7	:	:	PUNCT
cana-1625	298	8	neutrosophic	neutrosophic	ADJ
cana-1625	298	9	probability	probability	NOUN
cana-1625	298	10	,	,	PUNCT
cana-1625	298	11	set	set	NOUN
cana-1625	298	12	and	and	CCONJ
cana-1625	298	13	logic	logic	NOUN
cana-1625	298	14	;	;	PUNCT
cana-1625	298	15	proquest	proquest	PROPN
cana-1625	298	16	information	information	NOUN
cana-1625	298	17	and	and	CCONJ
cana-1625	298	18	learning.annarbor	learning.annarbor	PROPN
cana-1625	298	19	,	,	PUNCT
cana-1625	298	20	mi	mi	PROPN
cana-1625	298	21	,	,	PUNCT
cana-1625	298	22	usa	usa	PROPN
cana-1625	298	23	,	,	PUNCT
cana-1625	298	24	1998	1998	NUM
cana-1625	298	25	;	;	PUNCT
cana-1625	298	26	pp	pp	X
cana-1625	298	27	.	.	PUNCT
cana-1625	299	1	105	105	NUM
cana-1625	299	2	.	.	PUNCT
cana-1625	300	1	[	[	X
cana-1625	300	2	10	10	NUM
cana-1625	300	3	]	]	X
cana-1625	300	4	s.	s.	PROPN
cana-1625	300	5	sowndrarajan	sowndrarajan	PROPN
cana-1625	300	6	,	,	PUNCT
cana-1625	300	7	m.	m.	PROPN
cana-1625	300	8	jeyaraman	jeyaraman	PROPN
cana-1625	300	9	,	,	PUNCT
cana-1625	300	10	florentin	florentin	PROPN
cana-1625	300	11	,	,	PUNCT
cana-1625	300	12	smarandache	smarandache	NOUN
cana-1625	300	13	,	,	PUNCT
cana-1625	300	14	fixed	fix	VERB
cana-1625	300	15	point	point	NOUN
cana-1625	300	16	results	result	NOUN
cana-1625	300	17	for	for	ADP
cana-1625	300	18	contraction	contraction	NOUN
cana-1625	300	19	theorems	theorem	NOUN
cana-1625	300	20	in	in	ADP
cana-1625	300	21	neutrosophic	neutrosophic	ADJ
cana-1625	300	22	metric	metric	ADJ
cana-1625	300	23	space	space	NOUN
cana-1625	300	24	,	,	PUNCT
cana-1625	300	25	neutrosophic	neutrosophic	ADJ
cana-1625	300	26	sets	set	NOUN
cana-1625	300	27	and	and	CCONJ
cana-1625	300	28	systems	system	NOUN
cana-1625	300	29	,	,	PUNCT
cana-1625	300	30	36(2020	36(2020	NUM
cana-1625	300	31	)	)	PUNCT
cana-1625	300	32	,	,	PUNCT
cana-1625	300	33	308	308	NUM
cana-1625	300	34	–	–	SYM
cana-1625	300	35	318	318	NUM
cana-1625	300	36	.	.	PUNCT
cana-1625	301	1	[	[	X
cana-1625	301	2	11	11	NUM
cana-1625	301	3	]	]	PUNCT
cana-1625	301	4	uday	uday	PROPN
cana-1625	301	5	dolas	dolas	PROPN
cana-1625	301	6	,	,	PUNCT
cana-1625	301	7	a	a	DET
cana-1625	301	8	common	common	ADJ
cana-1625	301	9	fixed	fix	VERB
cana-1625	301	10	point	point	NOUN
cana-1625	301	11	theorem	theorem	VERB
cana-1625	301	12	in	in	ADP
cana-1625	301	13	fuzzy	fuzzy	ADJ
cana-1625	301	14	metric	metric	ADJ
cana-1625	301	15	spaces	space	NOUN
cana-1625	301	16	using	use	VERB
cana-1625	301	17	common	common	ADJ
cana-1625	301	18	e.a	e.a	PROPN
cana-1625	301	19	.	.	PROPN
cana-1625	301	20	like	like	PROPN
cana-1625	301	21	property	property	NOUN
cana-1625	301	22	journal	journal	NOUN
cana-1625	301	23	of	of	ADP
cana-1625	301	24	research	research	NOUN
cana-1625	301	25	in	in	ADP
cana-1625	301	26	applied	apply	VERB
cana-1625	301	27	mathematics	mathematic	NOUN
cana-1625	301	28	,	,	PUNCT
cana-1625	301	29	2(6)(2018	2(6)(2018	NUM
cana-1625	301	30	)	)	PUNCT
cana-1625	301	31	,	,	PUNCT
cana-1625	301	32	245	245	NUM
cana-1625	301	33	–	–	SYM
cana-1625	301	34	250	250	NUM
cana-1625	301	35	.	.	PUNCT
cana-1625	302	1	[	[	X
cana-1625	302	2	12	12	NUM
cana-1625	302	3	]	]	PUNCT
cana-1625	302	4	l.	l.	PROPN
cana-1625	302	5	a.	a.	PROPN
cana-1625	302	6	zadeh	zadeh	PROPN
cana-1625	302	7	,	,	PUNCT
cana-1625	302	8	fuzzy	fuzzy	ADJ
cana-1625	302	9	sets	set	NOUN
cana-1625	302	10	inform	inform	NOUN
cana-1625	302	11	.	.	PUNCT
cana-1625	303	1	and	and	CCONJ
cana-1625	303	2	control	control	NOUN
cana-1625	303	3	,	,	PUNCT
cana-1625	303	4	8(1965	8(1965	NUM
cana-1625	303	5	)	)	PUNCT
cana-1625	303	6	,	,	PUNCT
cana-1625	303	7	338	338	NUM
cana-1625	303	8	–	–	PUNCT
cana-1625	303	9	353	353	NUM
cana-1625	303	10	.	.	PUNCT