id	sid	tid	token	lemma	pos
cana-1481	1	1	communications	communication	NOUN
cana-1481	1	2	on	on	ADP
cana-1481	1	3	applied	apply	VERB
cana-1481	1	4	nonlinear	nonlinear	ADJ
cana-1481	1	5	analysis	analysis	NOUN
cana-1481	1	6	issn	issn	NOUN
cana-1481	1	7	:	:	PUNCT
cana-1481	1	8	1074	1074	NUM
cana-1481	1	9	-	-	PUNCT
cana-1481	1	10	133x	133x	NUM
cana-1481	1	11	vol	vol	NOUN
cana-1481	1	12	31	31	NUM
cana-1481	1	13	no	no	NOUN
cana-1481	1	14	.	.	PUNCT
cana-1481	2	1	8s	8s	PROPN
cana-1481	2	2	(	(	PUNCT
cana-1481	2	3	2024	2024	NUM
cana-1481	2	4	)	)	PUNCT
cana-1481	2	5	259	259	NUM
cana-1481	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	2	7	common	common	ADJ
cana-1481	2	8	fixed	fix	VERB
cana-1481	2	9	point	point	NOUN
cana-1481	2	10	solutions	solution	NOUN
cana-1481	2	11	for	for	ADP
cana-1481	2	12	pair	pair	NOUN
cana-1481	2	13	of	of	ADP
cana-1481	2	14	mappings	mapping	NOUN
cana-1481	2	15	via	via	ADP
cana-1481	2	16	−−	−−	NOUN
cana-1481	2	17	)	)	PUNCT
cana-1481	2	18	,	,	PUNCT
cana-1481	2	19	,	,	PUNCT
cana-1481	2	20	(	(	PUNCT
cana-1481	2	21	g	g	DET
cana-1481	2	22	contraction	contraction	NOUN
cana-1481	2	23	with	with	ADP
cana-1481	2	24	admissibility	admissibility	PROPN
cana-1481	2	25	d.	d.	PROPN
cana-1481	2	26	sattemma1*,2	sattemma1*,2	PROPN
cana-1481	2	27	*	*	PROPN
cana-1481	2	28	,	,	PUNCT
cana-1481	2	29	dr	dr	PROPN
cana-1481	2	30	.	.	PROPN
cana-1481	2	31	s.	s.	PROPN
cana-1481	2	32	vijaya	vijaya	PROPN
cana-1481	2	33	lakshmi3	lakshmi3	PROPN
cana-1481	2	34	1*research	1*research	NUM
cana-1481	2	35	scholar	scholar	NOUN
cana-1481	2	36	,	,	PUNCT
cana-1481	2	37	department	department	NOUN
cana-1481	2	38	of	of	ADP
cana-1481	2	39	mathematics	mathematics	PROPN
cana-1481	2	40	,	,	PUNCT
cana-1481	2	41	osmania	osmania	PROPN
cana-1481	2	42	university	university	PROPN
cana-1481	2	43	,	,	PUNCT
cana-1481	2	44	hyderabad-500007	hyderabad-500007	NOUN
cana-1481	2	45	,	,	PUNCT
cana-1481	2	46	telangana	telangana	PROPN
cana-1481	2	47	,	,	PUNCT
cana-1481	2	48	india	india	PROPN
cana-1481	2	49	2*assistant	2*assistant	PROPN
cana-1481	2	50	professor	professor	NOUN
cana-1481	2	51	,	,	PUNCT
cana-1481	2	52	department	department	NOUN
cana-1481	2	53	of	of	ADP
cana-1481	2	54	mathematics	mathematic	NOUN
cana-1481	2	55	,	,	PUNCT
cana-1481	2	56	mald	mald	ADJ
cana-1481	2	57	government	government	NOUN
cana-1481	2	58	degree	degree	NOUN
cana-1481	2	59	college	college	NOUN
cana-1481	2	60	,	,	PUNCT
cana-1481	2	61	gadwal-509125	gadwal-509125	NOUN
cana-1481	2	62	,	,	PUNCT
cana-1481	2	63	telangana	telangana	PROPN
cana-1481	2	64	,	,	PUNCT
cana-1481	2	65	india	india	PROPN
cana-1481	2	66	3professor	3professor	NUM
cana-1481	2	67	,	,	PUNCT
cana-1481	2	68	department	department	NOUN
cana-1481	2	69	of	of	ADP
cana-1481	2	70	mathematics	mathematics	PROPN
cana-1481	2	71	,	,	PUNCT
cana-1481	2	72	university	university	NOUN
cana-1481	2	73	college	college	NOUN
cana-1481	2	74	of	of	ADP
cana-1481	2	75	science	science	PROPN
cana-1481	2	76	,	,	PUNCT
cana-1481	2	77	osmania	osmania	PROPN
cana-1481	2	78	university	university	PROPN
cana-1481	2	79	,	,	PUNCT
cana-1481	2	80	hyderabad-500007	hyderabad-500007	NOUN
cana-1481	2	81	,	,	PUNCT
cana-1481	2	82	telangana	telangana	PROPN
cana-1481	2	83	,	,	PUNCT
cana-1481	2	84	india	india	PROPN
cana-1481	2	85	(	(	PUNCT
cana-1481	2	86	vijayalakshmi.sandra@gmail.com	vijayalakshmi.sandra@gmail.com	X
cana-1481	2	87	)	)	PUNCT
cana-1481	2	88	*	*	PUNCT
cana-1481	2	89	corresponding	correspond	VERB
cana-1481	2	90	author	author	NOUN
cana-1481	2	91	:	:	PUNCT
cana-1481	2	92	satya.dyavathi@gmail.com	satya.dyavathi@gmail.com	X
cana-1481	2	93	article	article	NOUN
cana-1481	2	94	history	history	NOUN
cana-1481	2	95	:	:	PUNCT
cana-1481	2	96	received	receive	VERB
cana-1481	2	97	:	:	PUNCT
cana-1481	2	98	28	28	NUM
cana-1481	2	99	-	-	PUNCT
cana-1481	2	100	04	04	NUM
cana-1481	2	101	-	-	PUNCT
cana-1481	2	102	2024	2024	NUM
cana-1481	2	103	revised	revise	VERB
cana-1481	2	104	:	:	PUNCT
cana-1481	2	105	17	17	NUM
cana-1481	2	106	-	-	SYM
cana-1481	2	107	06	06	NUM
cana-1481	2	108	-	-	PUNCT
cana-1481	2	109	2024	2024	NUM
cana-1481	2	110	accepted	accept	VERB
cana-1481	2	111	:	:	PUNCT
cana-1481	2	112	30	30	NUM
cana-1481	2	113	-	-	SYM
cana-1481	2	114	06	06	NUM
cana-1481	2	115	-	-	PUNCT
cana-1481	2	116	2024	2024	NUM
cana-1481	2	117	abstract	abstract	NOUN
cana-1481	2	118	:	:	PUNCT
cana-1481	2	119	we	we	PRON
cana-1481	2	120	explain	explain	VERB
cana-1481	2	121	the	the	DET
cana-1481	2	122	idea	idea	NOUN
cana-1481	2	123	of	of	ADP
cana-1481	2	124	contraction	contraction	NOUN
cana-1481	2	125	for	for	ADP
cana-1481	2	126	a	a	DET
cana-1481	2	127	pair	pair	NOUN
cana-1481	2	128	of	of	ADP
cana-1481	2	129	mappings	mapping	NOUN
cana-1481	2	130	and	and	CCONJ
cana-1481	2	131	propose	propose	VERB
cana-1481	2	132	fixed	fix	VERB
cana-1481	2	133	point	point	NOUN
cana-1481	2	134	theorems	theorem	NOUN
cana-1481	2	135	in	in	ADP
cana-1481	2	136	the	the	DET
cana-1481	2	137	arrangement	arrangement	NOUN
cana-1481	2	138	of	of	ADP
cana-1481	2	139	g	g	NOUN
cana-1481	2	140	-	-	PUNCT
cana-1481	2	141	metric	metric	ADJ
cana-1481	2	142	spaces	space	NOUN
cana-1481	2	143	using	use	VERB
cana-1481	2	144	contraction	contraction	NOUN
cana-1481	2	145	.	.	PUNCT
cana-1481	3	1	relevant	relevant	ADJ
cana-1481	3	2	examples	example	NOUN
cana-1481	3	3	are	be	AUX
cana-1481	3	4	provided	provide	VERB
cana-1481	3	5	.	.	PUNCT
cana-1481	4	1	keywords	keyword	NOUN
cana-1481	4	2	:	:	PUNCT
cana-1481	4	3	bcmp	bcmp	NOUN
cana-1481	4	4	,	,	PUNCT
cana-1481	4	5	g	g	NOUN
cana-1481	4	6	-	-	PUNCT
cana-1481	4	7	metric	metric	ADJ
cana-1481	4	8	space	space	NOUN
cana-1481	4	9	,	,	PUNCT
cana-1481	4	10	quasi	quasi	ADJ
cana-1481	4	11	-	-	ADJ
cana-1481	4	12	metric	metric	ADJ
cana-1481	4	13	space	space	NOUN
cana-1481	4	14	,	,	PUNCT
cana-1481	4	15	and	and	CCONJ
cana-1481	4	16	b	b	X
cana-1481	4	17	-	-	ADJ
cana-1481	4	18	metric	metric	ADJ
cana-1481	4	19	.	.	PUNCT
cana-1481	5	1	1	1	X
cana-1481	5	2	.	.	X
cana-1481	5	3	introduction	introduction	NOUN
cana-1481	5	4	in	in	ADP
cana-1481	5	5	1922	1922	NUM
cana-1481	5	6	,	,	PUNCT
cana-1481	6	1	s.	s.	PROPN
cana-1481	6	2	banach	banach	PROPN
cana-1481	7	1	[	[	X
cana-1481	7	2	1	1	X
cana-1481	7	3	]	]	PUNCT
cana-1481	7	4	presented	present	VERB
cana-1481	7	5	the	the	DET
cana-1481	7	6	well	well	ADV
cana-1481	7	7	-	-	PUNCT
cana-1481	7	8	known	know	VERB
cana-1481	7	9	banach	banach	NOUN
cana-1481	7	10	contraction	contraction	NOUN
cana-1481	7	11	mapping	mapping	NOUN
cana-1481	7	12	theorem	theorem	NOUN
cana-1481	7	13	(	(	PUNCT
cana-1481	7	14	bcmp	bcmp	NOUN
cana-1481	7	15	)	)	PUNCT
cana-1481	7	16	for	for	ADP
cana-1481	7	17	the	the	DET
cana-1481	7	18	complete	complete	ADJ
cana-1481	7	19	metric	metric	ADJ
cana-1481	7	20	space	space	NOUN
cana-1481	7	21	.	.	PUNCT
cana-1481	8	1	several	several	ADJ
cana-1481	8	2	generalizations	generalization	NOUN
cana-1481	8	3	of	of	ADP
cana-1481	8	4	bcmp	bcmp	NOUN
cana-1481	8	5	utilizing	utilize	VERB
cana-1481	8	6	various	various	ADJ
cana-1481	8	7	contractive	contractive	ADJ
cana-1481	8	8	conditions	condition	NOUN
cana-1481	8	9	in	in	ADP
cana-1481	8	10	the	the	DET
cana-1481	8	11	framework	framework	NOUN
cana-1481	8	12	of	of	ADP
cana-1481	8	13	metric	metric	ADJ
cana-1481	8	14	,	,	PUNCT
cana-1481	8	15	g	g	NOUN
cana-1481	8	16	-	-	PUNCT
cana-1481	8	17	metric	metric	ADJ
cana-1481	8	18	space	space	NOUN
cana-1481	8	19	,	,	PUNCT
cana-1481	8	20	quasi	quasi	ADJ
cana-1481	8	21	-	-	ADJ
cana-1481	8	22	metric	metric	ADJ
cana-1481	8	23	space	space	NOUN
cana-1481	8	24	,	,	PUNCT
cana-1481	8	25	and	and	CCONJ
cana-1481	8	26	b	b	X
cana-1481	8	27	-	-	ADJ
cana-1481	8	28	metric	metric	ADJ
cana-1481	8	29	space	space	NOUN
cana-1481	8	30	have	have	AUX
cana-1481	8	31	been	be	AUX
cana-1481	8	32	published	publish	VERB
cana-1481	8	33	in	in	ADP
cana-1481	8	34	the	the	DET
cana-1481	8	35	literature	literature	NOUN
cana-1481	8	36	by	by	ADP
cana-1481	8	37	a	a	DET
cana-1481	8	38	wide	wide	ADJ
cana-1481	8	39	spectrum	spectrum	NOUN
cana-1481	8	40	of	of	ADP
cana-1481	8	41	mathematicians	mathematician	NOUN
cana-1481	8	42	during	during	ADP
cana-1481	8	43	the	the	DET
cana-1481	8	44	last	last	ADJ
cana-1481	8	45	several	several	ADJ
cana-1481	8	46	decades	decade	NOUN
cana-1481	8	47	.	.	PUNCT
cana-1481	9	1	khan	khan	PROPN
cana-1481	10	1	[	[	X
cana-1481	10	2	2	2	NUM
cana-1481	10	3	]	]	PUNCT
cana-1481	10	4	employed	employ	VERB
cana-1481	10	5	distance	distance	NOUN
cana-1481	10	6	mapping	mapping	NOUN
cana-1481	10	7	to	to	PART
cana-1481	10	8	develop	develop	VERB
cana-1481	10	9	a	a	DET
cana-1481	10	10	new	new	ADJ
cana-1481	10	11	contractive	contractive	ADJ
cana-1481	10	12	condition	condition	NOUN
cana-1481	10	13	in	in	ADP
cana-1481	10	14	fixed	fix	VERB
cana-1481	10	15	point	point	NOUN
cana-1481	10	16	theory	theory	NOUN
cana-1481	10	17	,	,	PUNCT
cana-1481	10	18	hence	hence	ADV
cana-1481	10	19	expanding	expand	VERB
cana-1481	10	20	the	the	DET
cana-1481	10	21	bcp	bcp	NOUN
cana-1481	10	22	into	into	ADP
cana-1481	10	23	novel	novel	ADJ
cana-1481	10	24	configurations	configuration	NOUN
cana-1481	10	25	.	.	PUNCT
cana-1481	11	1	abodyeh	abodyeh	PROPN
cana-1481	11	2	et	et	PROPN
cana-1481	11	3	al	al	PROPN
cana-1481	11	4	.	.	PUNCT
cana-1481	12	1	[	[	X
cana-1481	12	2	21	21	NUM
cana-1481	12	3	]	]	PUNCT
cana-1481	12	4	just	just	ADV
cana-1481	12	5	suggested	suggest	VERB
cana-1481	12	6	a	a	DET
cana-1481	12	7	new	new	ADJ
cana-1481	12	8	idea	idea	NOUN
cana-1481	12	9	,	,	PUNCT
cana-1481	12	10	almost	almost	ADV
cana-1481	12	11	-	-	PUNCT
cana-1481	12	12	perfect	perfect	ADJ
cana-1481	12	13	contraction	contraction	NOUN
cana-1481	12	14	,	,	PUNCT
cana-1481	12	15	to	to	PART
cana-1481	12	16	create	create	VERB
cana-1481	12	17	new	new	ADJ
cana-1481	12	18	contractive	contractive	ADJ
cana-1481	12	19	conditions	condition	NOUN
cana-1481	12	20	in	in	ADP
cana-1481	12	21	order	order	NOUN
cana-1481	12	22	to	to	PART
cana-1481	12	23	modify	modify	VERB
cana-1481	12	24	and	and	CCONJ
cana-1481	12	25	expand	expand	VERB
cana-1481	12	26	some	some	DET
cana-1481	12	27	well	well	ADV
cana-1481	12	28	-	-	PUNCT
cana-1481	12	29	known	know	VERB
cana-1481	12	30	fixed	fix	VERB
cana-1481	12	31	point	point	NOUN
cana-1481	12	32	theorems	theorem	NOUN
cana-1481	12	33	.	.	PUNCT
cana-1481	13	1	samet	samet	PROPN
cana-1481	13	2	et	et	PROPN
cana-1481	13	3	al	al	PROPN
cana-1481	13	4	.	.	PUNCT
cana-1481	14	1	[	[	X
cana-1481	14	2	22	22	NUM
cana-1481	14	3	]	]	PUNCT
cana-1481	14	4	proposed	propose	VERB
cana-1481	14	5	the	the	DET
cana-1481	14	6	idea	idea	NOUN
cana-1481	14	7	of	of	ADP
cana-1481	14	8			NOUN
cana-1481	14	9	admissibility	admissibility	NOUN
cana-1481	14	10	.	.	PUNCT
cana-1481	15	1	karapinar	karapinar	VERB
cana-1481	15	2	et	et	PROPN
cana-1481	15	3	al	al	PROPN
cana-1481	15	4	.	.	PUNCT
cana-1481	16	1	[	[	X
cana-1481	16	2	23	23	NUM
cana-1481	16	3	]	]	PUNCT
cana-1481	16	4	developed	develop	VERB
cana-1481	16	5	the	the	DET
cana-1481	16	6	concept	concept	NOUN
cana-1481	16	7	of	of	ADP
cana-1481	16	8	triangular	triangular	NOUN
cana-1481	16	9	admissibility	admissibility	NOUN
cana-1481	16	10	.	.	PUNCT
cana-1481	17	1	abdeljawad	abdeljawad	PROPN
cana-1481	17	2	[	[	X
cana-1481	17	3	24	24	NUM
cana-1481	17	4	]	]	PUNCT
cana-1481	17	5	extended	extend	VERB
cana-1481	17	6	the	the	DET
cana-1481	17	7	concept	concept	NOUN
cana-1481	17	8	of	of	ADP
cana-1481	17	9			NOUN
cana-1481	17	10	admissibility	admissibility	NOUN
cana-1481	17	11	to	to	ADP
cana-1481	17	12	a	a	DET
cana-1481	17	13	pair	pair	NOUN
cana-1481	17	14	of	of	ADP
cana-1481	17	15	functions	function	NOUN
cana-1481	17	16	.	.	PUNCT
cana-1481	18	1	chary	chary	PROPN
cana-1481	18	2	et	et	PROPN
cana-1481	18	3	al	al	PROPN
cana-1481	18	4	.	.	PUNCT
cana-1481	19	1	[	[	X
cana-1481	19	2	33	33	NUM
cana-1481	19	3	]	]	PUNCT
cana-1481	19	4	developed	develop	VERB
cana-1481	19	5	the	the	DET
cana-1481	19	6	novel	novel	ADJ
cana-1481	19	7	idea	idea	NOUN
cana-1481	19	8	if	if	SCONJ
cana-1481	19	9	rectangular	rectangular	ADJ
cana-1481	19	10			NOUN
cana-1481	19	11	-g	-g	CCONJ
cana-1481	19	12	-admissible	-admissible	ADJ
cana-1481	19	13	mapping	mapping	NOUN
cana-1481	19	14	in	in	ADP
cana-1481	19	15	2021	2021	NUM
cana-1481	19	16	,	,	PUNCT
cana-1481	19	17	as	as	ADV
cana-1481	19	18	well	well	ADV
cana-1481	19	19	as	as	ADP
cana-1481	19	20	rectangular	rectangular	ADJ
cana-1481	19	21			NOUN
cana-1481	19	22	g	g	NOUN
cana-1481	19	23	-admissible	-admissible	ADJ
cana-1481	19	24	concerning	concern	VERB
cana-1481	19	25	another	another	DET
cana-1481	19	26	function	function	NOUN
cana-1481	19	27			NOUN
cana-1481	19	28	in	in	ADP
cana-1481	19	29	g	g	PROPN
cana-1481	19	30	-metric	-metric	ADJ
cana-1481	19	31	space	space	NOUN
cana-1481	19	32	.	.	PUNCT
cana-1481	20	1	2	2	X
cana-1481	20	2	.	.	X
cana-1481	20	3	preliminaries	preliminary	NOUN
cana-1481	20	4	chary	chary	ADJ
cana-1481	20	5	et	et	PROPN
cana-1481	20	6	al	al	PROPN
cana-1481	20	7	.	.	PUNCT
cana-1481	21	1	[	[	PUNCT
cana-1481	21	2	33	33	NUM
cana-1481	21	3	]	]	PUNCT
cana-1481	21	4	have	have	AUX
cana-1481	21	5	been	be	AUX
cana-1481	21	6	established	establish	VERB
cana-1481	21	7	the	the	DET
cana-1481	21	8	concepts	concept	NOUN
cana-1481	21	9	of	of	ADP
cana-1481	21	10	g	g	PROPN
cana-1481	21	11	−	−	ADJ
cana-1481	21	12	−admissible	−admissible	ADJ
cana-1481	21	13	mapping	mapping	NOUN
cana-1481	21	14	;	;	PUNCT
cana-1481	21	15	g	g	PROPN
cana-1481	21	16	−	−	ADJ
cana-1481	21	17	−admissible	−admissible	NOUN
cana-1481	21	18	with	with	ADP
cana-1481	21	19	respect	respect	NOUN
cana-1481	21	20	to	to	ADP
cana-1481	21	21			NOUN
cana-1481	21	22	;	;	PUNCT
cana-1481	21	23	g	g	PROPN
cana-1481	21	24	−	−	ADJ
cana-1481	21	25	,	,	PUNCT
cana-1481	21	26			PROPN
cana-1481	21	27	−	−	PROPN
cana-1481	21	28	cauchy	cauchy	NOUN
cana-1481	21	29	;	;	PUNCT
cana-1481	21	30			X
cana-1481	21	31	,	,	PUNCT
cana-1481	21	32			PROPN
cana-1481	21	33	-complete	-complete	PROPN
cana-1481	21	34	g	g	PROPN
cana-1481	21	35	-metric	-metric	ADJ
cana-1481	21	36	space	space	NOUN
cana-1481	21	37	;	;	PUNCT
cana-1481	21	38			X
cana-1481	21	39	,	,	PUNCT
cana-1481	21	40			NOUN
cana-1481	21	41	−	−	PROPN
cana-1481	21	42	g	g	PROPN
cana-1481	21	43	continuous	continuous	ADJ
cana-1481	21	44	;	;	PUNCT
cana-1481	21	45	g	g	PROPN
cana-1481	21	46	−	−	ADJ
cana-1481	21	47	−admissible	−admissible	VERB
cana-1481	21	48	rectangular	rectangular	ADJ
cana-1481	21	49	mapping	mapping	NOUN
cana-1481	21	50	;	;	PUNCT
cana-1481	21	51	g	g	PROPN
cana-1481	21	52	−	−	ADJ
cana-1481	21	53	−admissible	−admissible	VERB
cana-1481	21	54	rectangular	rectangular	ADJ
cana-1481	21	55	with	with	ADP
cana-1481	21	56	respect	respect	NOUN
cana-1481	21	57	to	to	ADP
cana-1481	21	58			PROPN
cana-1481	21	59	.	.	PUNCT
cana-1481	22	1	these	these	DET
cana-1481	22	2	concepts	concept	NOUN
cana-1481	22	3	are	be	AUX
cana-1481	22	4	used	use	VERB
cana-1481	22	5	in	in	ADP
cana-1481	22	6	this	this	DET
cana-1481	22	7	work	work	NOUN
cana-1481	22	8	.	.	PUNCT
cana-1481	23	1	communications	communication	NOUN
cana-1481	23	2	on	on	ADP
cana-1481	23	3	applied	apply	VERB
cana-1481	23	4	nonlinear	nonlinear	ADJ
cana-1481	23	5	analysis	analysis	NOUN
cana-1481	23	6	issn	issn	NOUN
cana-1481	23	7	:	:	PUNCT
cana-1481	23	8	1074	1074	NUM
cana-1481	23	9	-	-	PUNCT
cana-1481	23	10	133x	133x	NUM
cana-1481	23	11	vol	vol	NOUN
cana-1481	23	12	31	31	NUM
cana-1481	23	13	no	no	NOUN
cana-1481	23	14	.	.	PUNCT
cana-1481	24	1	8s	8s	PROPN
cana-1481	24	2	(	(	PUNCT
cana-1481	24	3	2024	2024	NUM
cana-1481	24	4	)	)	PUNCT
cana-1481	24	5	260	260	NUM
cana-1481	25	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	25	2	3	3	X
cana-1481	25	3	.	.	PUNCT
cana-1481	25	4	main	main	ADJ
cana-1481	25	5	results	result	NOUN
cana-1481	25	6	first	first	ADV
cana-1481	25	7	,	,	PUNCT
cana-1481	25	8	we	we	PRON
cana-1481	25	9	will	will	AUX
cana-1481	25	10	define	define	VERB
cana-1481	25	11	the	the	DET
cana-1481	25	12	following	following	ADJ
cana-1481	25	13	terms	term	NOUN
cana-1481	25	14	.	.	PUNCT
cana-1481	26	1	definition	definition	NOUN
cana-1481	26	2	.	.	PUNCT
cana-1481	27	1	3.1	3.1	NUM
cana-1481	27	2	.	.	PUNCT
cana-1481	28	1	let	let	VERB
cana-1481	28	2	jh	jh	PROPN
cana-1481	28	3	,	,	PUNCT
cana-1481	28	4	be	be	AUX
cana-1481	28	5	two	two	NUM
cana-1481	28	6	self	self	NOUN
cana-1481	28	7	-	-	PUNCT
cana-1481	28	8	mappings	mapping	NOUN
cana-1481	28	9	on	on	ADP
cana-1481	28	10			PROPN
cana-1481	28	11	and	and	CCONJ
cana-1481	28	12	}	}	PUNCT
cana-1481	28	13	0	0	NUM
cana-1481	28	14	{	{	PUNCT
cana-1481	28	15	:	:	PUNCT
cana-1481	28	16	→	→	NOUN
cana-1481	29	1	+	+	CCONJ
cana-1481	29	2	r	r	NOUN
cana-1481	29	3	be	be	VERB
cana-1481	29	4	a	a	DET
cana-1481	29	5	function	function	NOUN
cana-1481	29	6	.	.	PUNCT
cana-1481	30	1	the	the	DET
cana-1481	30	2	pair	pair	NOUN
cana-1481	30	3	)	)	PUNCT
cana-1481	30	4	,	,	PUNCT
cana-1481	30	5	(	(	PUNCT
cana-1481	30	6	jh	jh	PROPN
cana-1481	30	7	is	be	AUX
cana-1481	30	8	called	call	VERB
cana-1481	30	9	g	g	PROPN
cana-1481	30	10	-	-	PROPN
cana-1481	30	11	admissible	admissible	ADJ
cana-1481	30	12	if	if	SCONJ
cana-1481	30	13			NOUN
cana-1481	30	14	,	,	PUNCT
cana-1481	30	15	,	,	PUNCT
cana-1481	30	16	and	and	CCONJ
cana-1481	30	17	1	1	NUM
cana-1481	30	18	)	)	PUNCT
cana-1481	30	19	,	,	PUNCT
cana-1481	30	20	,	,	PUNCT
cana-1481	30	21	(	(	PUNCT
cana-1481	30	22			PRON
cana-1481	30	23	imply	imply	VERB
cana-1481	30	24	1	1	NUM
cana-1481	30	25	)	)	PUNCT
cana-1481	30	26	,	,	PUNCT
cana-1481	30	27	,	,	PUNCT
cana-1481	30	28	(	(	PUNCT
cana-1481	30	29			PRON
cana-1481	30	30	jjh	jjh	ADJ
cana-1481	30	31	and	and	CCONJ
cana-1481	30	32	1	1	NUM
cana-1481	30	33	)	)	PUNCT
cana-1481	30	34	,	,	PUNCT
cana-1481	30	35	,	,	PUNCT
cana-1481	30	36	(	(	PUNCT
cana-1481	30	37			NOUN
cana-1481	30	38	hhj	hhj	NOUN
cana-1481	30	39	.	.	PUNCT
cana-1481	31	1	definition	definition	NOUN
cana-1481	31	2	3.2	3.2	NUM
cana-1481	31	3	.	.	PUNCT
cana-1481	32	1	let	let	VERB
cana-1481	32	2	jh	jh	PROPN
cana-1481	32	3	,	,	PUNCT
cana-1481	32	4	be	be	AUX
cana-1481	32	5	two	two	NUM
cana-1481	32	6	self	self	NOUN
cana-1481	32	7	-	-	PUNCT
cana-1481	32	8	mappings	mapping	NOUN
cana-1481	32	9	on	on	ADP
cana-1481	32	10			PROPN
cana-1481	32	11	and	and	CCONJ
cana-1481	32	12	}	}	PUNCT
cana-1481	32	13	0	0	NUM
cana-1481	32	14	{	{	PUNCT
cana-1481	32	15	:	:	PUNCT
cana-1481	32	16	,	,	PUNCT
cana-1481	32	17	→	→	PROPN
cana-1481	33	1	+	+	ADV
cana-1481	33	2	r	r	PROPN
cana-1481	33	3	be	be	VERB
cana-1481	33	4	a	a	DET
cana-1481	33	5	functions	function	NOUN
cana-1481	33	6	.	.	PUNCT
cana-1481	34	1	the	the	DET
cana-1481	34	2	pair	pair	NOUN
cana-1481	34	3	)	)	PUNCT
cana-1481	34	4	,	,	PUNCT
cana-1481	34	5	(	(	PUNCT
cana-1481	34	6	jh	jh	PROPN
cana-1481	34	7	is	be	AUX
cana-1481	34	8	called	call	VERB
cana-1481	34	9	g	g	PROPN
cana-1481	34	10	)	)	PUNCT
cana-1481	34	11	,	,	PUNCT
cana-1481	34	12	(	(	PUNCT
cana-1481	34	13			X
cana-1481	34	14	admissibility	admissibility	NOUN
cana-1481	34	15	if	if	SCONJ
cana-1481	34	16			NOUN
cana-1481	34	17	,	,	PUNCT
cana-1481	34	18	,	,	PUNCT
cana-1481	34	19	and	and	CCONJ
cana-1481	34	20	)	)	PUNCT
cana-1481	34	21	,	,	PUNCT
cana-1481	34	22	,	,	PUNCT
cana-1481	34	23	(	(	PUNCT
cana-1481	34	24	)	)	PUNCT
cana-1481	34	25	,	,	PUNCT
cana-1481	34	26	,	,	PUNCT
cana-1481	34	27	(	(	PUNCT
cana-1481	34	28			NOUN
cana-1481	34	29			NUM
cana-1481	34	30	imply	imply	VERB
cana-1481	34	31	)	)	PUNCT
cana-1481	34	32	,	,	PUNCT
cana-1481	34	33	,	,	PUNCT
cana-1481	34	34	(	(	PUNCT
cana-1481	34	35	)	)	PUNCT
cana-1481	34	36	,	,	PUNCT
cana-1481	34	37	,	,	PUNCT
cana-1481	34	38	(	(	PUNCT
cana-1481	34	39			NOUN
cana-1481	34	40	jjhjjh	jjhjjh	PROPN
cana-1481	34	41			X
cana-1481	34	42	an	an	PRON
cana-1481	34	43	)	)	PUNCT
cana-1481	34	44	.	.	PUNCT
cana-1481	35	1	,	,	PUNCT
cana-1481	35	2	,	,	PUNCT
cana-1481	35	3	(	(	PUNCT
cana-1481	35	4	)	)	PUNCT
cana-1481	35	5	,	,	PUNCT
cana-1481	35	6	,	,	PUNCT
cana-1481	35	7	(	(	PUNCT
cana-1481	35	8			NOUN
cana-1481	35	9	hhjhhj	hhjhhj	NOUN
cana-1481	35	10			NUM
cana-1481	35	11	example	example	NOUN
cana-1481	35	12	3.3	3.3	NUM
cana-1481	35	13	.	.	PUNCT
cana-1481	36	1	define	define	VERB
cana-1481	36	2	h	h	PROPN
cana-1481	36	3	,	,	PUNCT
cana-1481	36	4	j	j	PROPN
cana-1481	36	5	from	from	ADP
cana-1481	36	6	r	r	NOUN
cana-1481	36	7	to	to	ADP
cana-1481	36	8	r	r	NOUN
cana-1481	36	9	by	by	ADP
cana-1481	36	10	2	2	NUM
cana-1481	36	11	=	=	NOUN
cana-1481	36	12	h	h	PROPN
cana-1481	36	13	and	and	CCONJ
cana-1481	36	14			PROPN
cana-1481	36	15			NUM
cana-1481	36	16			ADV
cana-1481	36	17			X
cana-1481	36	18	−	−	X
cana-1481	37	1	=	=	SYM
cana-1481	37	2	0	0	SYM
cana-1481	37	3	0	0	NUM
cana-1481	37	4	2	2	NUM
cana-1481	37	5	2	2	NUM
cana-1481	37	6			PROPN
cana-1481	37	7			PROPN
cana-1481	37	8			NOUN
cana-1481	37	9	if	if	SCONJ
cana-1481	37	10	if	if	SCONJ
cana-1481	37	11	j	j	PROPN
cana-1481	37	12	.	.	PUNCT
cana-1481	38	1	additionally	additionally	ADV
cana-1481	38	2	,	,	PUNCT
cana-1481	38	3	define	define	VERB
cana-1481	38	4	}	}	PUNCT
cana-1481	38	5	0	0	NUM
cana-1481	38	6	{	{	PUNCT
cana-1481	38	7	:	:	PUNCT
cana-1481	38	8	,	,	PUNCT
cana-1481	38	9	→	→	PROPN
cana-1481	39	1	+	+	CCONJ
cana-1481	39	2	r	r	PROPN
cana-1481	39	3	and	and	CCONJ
cana-1481	39	4			ADJ
cana-1481	39	5	+	+	ADJ
cana-1481	39	6	+	+	ADJ
cana-1481	39	7	=	=	ADJ
cana-1481	39	8	e	e	NOUN
cana-1481	39	9	)	)	PUNCT
cana-1481	39	10	,	,	PUNCT
cana-1481	39	11	,	,	PUNCT
cana-1481	39	12	(	(	PUNCT
cana-1481	39	13	and	and	CCONJ
cana-1481	39	14			NUM
cana-1481	39	15	e=	e=	NOUN
cana-1481	39	16	)	)	PUNCT
cana-1481	39	17	,	,	PUNCT
cana-1481	39	18	,	,	PUNCT
cana-1481	39	19	(	(	PUNCT
cana-1481	39	20	then	then	ADV
cana-1481	39	21	)	)	PUNCT
cana-1481	39	22	,	,	PUNCT
cana-1481	39	23	(	(	PUNCT
cana-1481	39	24	jh	jh	PROPN
cana-1481	39	25	is	be	AUX
cana-1481	39	26	a	a	DET
cana-1481	39	27	pair	pair	NOUN
cana-1481	39	28	of	of	ADP
cana-1481	39	29	g	g	NOUN
cana-1481	39	30	)	)	PUNCT
cana-1481	39	31	,	,	PUNCT
cana-1481	39	32	(	(	PUNCT
cana-1481	39	33			X
cana-1481	39	34	admissibility	admissibility	NOUN
cana-1481	39	35	.	.	PUNCT
cana-1481	40	1	proof	proof	NOUN
cana-1481	40	2	.	.	PUNCT
cana-1481	41	1	let	let	VERB
cana-1481	41	2			NOUN
cana-1481	41	3	,	,	PUNCT
cana-1481	41	4	,	,	PUNCT
cana-1481	41	5	such	such	ADJ
cana-1481	41	6	that	that	PRON
cana-1481	41	7	)	)	PUNCT
cana-1481	41	8	,	,	PUNCT
cana-1481	41	9	,	,	PUNCT
cana-1481	41	10	(	(	PUNCT
cana-1481	41	11	)	)	PUNCT
cana-1481	41	12	,	,	PUNCT
cana-1481	41	13	,	,	PUNCT
cana-1481	41	14	(	(	PUNCT
cana-1481	41	15			NOUN
cana-1481	41	16			NUM
cana-1481	41	17	then	then	ADV
cana-1481	41	18			PROPN
cana-1481	41	19	ee	ee	ADP
cana-1481	41	20	++	++	PROPN
cana-1481	41	21	.	.	PUNCT
cana-1481	42	1	so	so	ADV
cana-1481	42	2			PROPN
cana-1481	42	3	++	++	NOUN
cana-1481	42	4	and	and	CCONJ
cana-1481	42	5	hence	hence	ADV
cana-1481	42	6			ADJ
cana-1481	42	7	,	,	PUNCT
cana-1481	42	8	are	be	AUX
cana-1481	42	9	non	non	X
cana-1481	42	10	negative	negative	ADJ
cana-1481	42	11	real	real	ADJ
cana-1481	42	12	numbers	number	NOUN
cana-1481	42	13	.	.	PUNCT
cana-1481	43	1	therefore	therefore	ADV
cana-1481	43	2	)	)	PUNCT
cana-1481	43	3	,	,	PUNCT
cana-1481	43	4	,	,	PUNCT
cana-1481	43	5	(	(	PUNCT
cana-1481	43	6	)	)	PUNCT
cana-1481	43	7	,	,	PUNCT
cana-1481	43	8	,	,	PUNCT
cana-1481	43	9	(	(	PUNCT
cana-1481	43	10	)	)	PUNCT
cana-1481	43	11	,	,	PUNCT
cana-1481	43	12	,	,	PUNCT
cana-1481	43	13	(	(	PUNCT
cana-1481	43	14	2222222	2222222	NUM
cana-1481	43	15			NOUN
cana-1481	43	16			NOUN
cana-1481	43	17	jjheejjh	jjheejjh	NOUN
cana-1481	43	18	=	=	NOUN
cana-1481	43	19	==	==	NOUN
cana-1481	44	1	+	+	X
cana-1481	44	2	+	+	CCONJ
cana-1481	44	3	imply	imply	VERB
cana-1481	44	4	that	that	PRON
cana-1481	44	5	)	)	PUNCT
cana-1481	44	6	,	,	PUNCT
cana-1481	44	7	,	,	PUNCT
cana-1481	44	8	(	(	PUNCT
cana-1481	44	9	)	)	PUNCT
cana-1481	44	10	,	,	PUNCT
cana-1481	44	11	,	,	PUNCT
cana-1481	44	12	(	(	PUNCT
cana-1481	44	13			NOUN
cana-1481	44	14	jjhjjh	jjhjjh	PROPN
cana-1481	44	15			PROPN
cana-1481	44	16	.	.	PUNCT
cana-1481	45	1	now	now	ADV
cana-1481	45	2	,	,	PUNCT
cana-1481	45	3	if	if	SCONJ
cana-1481	45	4	,	,	PUNCT
cana-1481	45	5	0	0	NOUN
cana-1481	45	6	then	then	ADV
cana-1481	45	7	)	)	PUNCT
cana-1481	45	8	,	,	PUNCT
cana-1481	45	9	,	,	PUNCT
cana-1481	45	10	(	(	PUNCT
cana-1481	45	11	)	)	PUNCT
cana-1481	45	12	,	,	PUNCT
cana-1481	45	13	,	,	PUNCT
cana-1481	45	14	(	(	PUNCT
cana-1481	45	15	)	)	PUNCT
cana-1481	45	16	,	,	PUNCT
cana-1481	45	17	,	,	PUNCT
cana-1481	45	18	(	(	PUNCT
cana-1481	45	19	2222222	2222222	NUM
cana-1481	45	20			NOUN
cana-1481	45	21			X
cana-1481	45	22	hhjeehhj	hhjeehhj	NOUN
cana-1481	45	23	=	=	SYM
cana-1481	45	24	==	==	NOUN
cana-1481	45	25	+	+	PROPN
cana-1481	45	26	+	+	PROPN
cana-1481	45	27	.	.	PUNCT
cana-1481	46	1	while	while	SCONJ
cana-1481	46	2	if	if	SCONJ
cana-1481	46	3	,	,	PUNCT
cana-1481	46	4	0	0	NOUN
cana-1481	46	5	then	then	ADV
cana-1481	46	6	)	)	PUNCT
cana-1481	46	7	,	,	PUNCT
cana-1481	46	8	,	,	PUNCT
cana-1481	46	9	(	(	PUNCT
cana-1481	46	10	)	)	PUNCT
cana-1481	46	11	,	,	PUNCT
cana-1481	46	12	,	,	PUNCT
cana-1481	46	13	(	(	PUNCT
cana-1481	46	14	)	)	PUNCT
cana-1481	46	15	,	,	PUNCT
cana-1481	46	16	,	,	PUNCT
cana-1481	46	17	(	(	PUNCT
cana-1481	46	18	2222222	2222222	NUM
cana-1481	46	19			NOUN
cana-1481	46	20			X
cana-1481	46	21	hhjeehhj	hhjeehhj	NOUN
cana-1481	46	22	=	=	NOUN
cana-1481	46	23	=−=	=−=	X
cana-1481	46	24	−++−	−++−	PROPN
cana-1481	46	25	imply	imply	NOUN
cana-1481	46	26	)	)	PUNCT
cana-1481	46	27	,	,	PUNCT
cana-1481	46	28	,	,	PUNCT
cana-1481	46	29	(	(	PUNCT
cana-1481	46	30	)	)	PUNCT
cana-1481	46	31	,	,	PUNCT
cana-1481	46	32	,	,	PUNCT
cana-1481	46	33	(	(	PUNCT
cana-1481	46	34			NOUN
cana-1481	46	35	hhjhhj	hhjhhj	NOUN
cana-1481	46	36			NUM
cana-1481	46	37	.	.	PUNCT
cana-1481	47	1	definition	definition	NOUN
cana-1481	47	2	3.4	3.4	NUM
cana-1481	47	3	.	.	PUNCT
cana-1481	48	1	let	let	VERB
cana-1481	48	2	g	g	PRON
cana-1481	48	3	be	be	AUX
cana-1481	48	4	a	a	DET
cana-1481	48	5	metric	metric	ADJ
cana-1481	48	6	on	on	NOUN
cana-1481	48	7	.	.	PUNCT
cana-1481	49	1	let	let	VERB
cana-1481	49	2	h	h	NOUN
cana-1481	49	3	,	,	PUNCT
cana-1481	49	4	j	j	PROPN
cana-1481	49	5	be	be	VERB
cana-1481	49	6	two	two	NUM
cana-1481	49	7	self	self	NOUN
cana-1481	49	8	-	-	PUNCT
cana-1481	49	9	mappings	mapping	NOUN
cana-1481	49	10	on	on	ADP
cana-1481	49	11			PROPN
cana-1481	49	12	,	,	PUNCT
cana-1481	49	13			PROPN
cana-1481	49	14	be	be	AUX
cana-1481	49	15	a	a	DET
cana-1481	49	16	perfect	perfect	ADJ
cana-1481	49	17	self	self	NOUN
cana-1481	49	18	mapping	mapping	NOUN
cana-1481	49	19	on	on	ADP
cana-1481	49	20	}	}	PUNCT
cana-1481	49	21	0{+r	0{+r	NOUN
cana-1481	49	22	,	,	PUNCT
cana-1481	49	23	}	}	PUNCT
cana-1481	49	24	0	0	NUM
cana-1481	49	25	{	{	PUNCT
cana-1481	49	26	:	:	PUNCT
cana-1481	49	27	,	,	PUNCT
cana-1481	49	28	→	→	PROPN
cana-1481	50	1	+	+	CCONJ
cana-1481	50	2	r	r	PROPN
cana-1481	50	3	be	be	VERB
cana-1481	50	4	functions	function	NOUN
cana-1481	50	5	.	.	PUNCT
cana-1481	51	1	we	we	PRON
cana-1481	51	2	say	say	VERB
cana-1481	51	3	that	that	SCONJ
cana-1481	51	4	the	the	DET
cana-1481	51	5	pair	pair	NOUN
cana-1481	51	6	)	)	PUNCT
cana-1481	51	7	,	,	PUNCT
cana-1481	51	8	(	(	PUNCT
cana-1481	51	9	jh	jh	PROPN
cana-1481	51	10	is	be	AUX
cana-1481	51	11	an	an	DET
cana-1481	51	12	g	g	NOUN
cana-1481	51	13	)	)	PUNCT
cana-1481	51	14	,	,	PUNCT
cana-1481	51	15	,	,	PUNCT
cana-1481	51	16	(	(	PUNCT
cana-1481	51	17			PROPN
cana-1481	51	18	contraction	contraction	VERB
cana-1481	51	19	if	if	SCONJ
cana-1481	51	20	there	there	PRON
cana-1481	51	21	exists	exist	VERB
cana-1481	51	22	)	)	PUNCT
cana-1481	51	23	1,0[k	1,0[k	NOUN
cana-1481	51	24	such	such	ADJ
cana-1481	51	25	that	that	DET
cana-1481	51	26			NOUN
cana-1481	51	27	,	,	PUNCT
cana-1481	51	28	,	,	PUNCT
cana-1481	51	29	and	and	CCONJ
cana-1481	51	30	)	)	PUNCT
cana-1481	51	31	,	,	PUNCT
cana-1481	51	32	,	,	PUNCT
cana-1481	51	33	(	(	PUNCT
cana-1481	51	34	)	)	PUNCT
cana-1481	51	35	,	,	PUNCT
cana-1481	51	36	,	,	PUNCT
cana-1481	51	37	(	(	PUNCT
cana-1481	51	38			NOUN
cana-1481	51	39			NUM
cana-1481	51	40	imply	imply	VERB
cana-1481	51	41	)	)	PUNCT
cana-1481	51	42	1	1	NUM
cana-1481	51	43	....	....	PUNCT
cana-1481	51	44	(	(	PUNCT
cana-1481	51	45	........................................	........................................	PUNCT
cana-1481	51	46	)	)	PUNCT
cana-1481	51	47	)	)	PUNCT
cana-1481	51	48	}	}	PUNCT
cana-1481	51	49	,	,	PUNCT
cana-1481	51	50	,	,	PUNCT
cana-1481	51	51	(	(	PUNCT
cana-1481	51	52	(	(	PUNCT
cana-1481	51	53	3	3	NUM
cana-1481	51	54	1	1	NUM
cana-1481	51	55	)	)	PUNCT
cana-1481	51	56	)	)	PUNCT
cana-1481	51	57	,	,	PUNCT
cana-1481	51	58	,	,	PUNCT
cana-1481	51	59	,	,	PUNCT
cana-1481	51	60	(	(	PUNCT
cana-1481	51	61	(	(	PUNCT
cana-1481	51	62	3	3	NUM
cana-1481	51	63	1	1	NUM
cana-1481	51	64	)	)	PUNCT
cana-1481	51	65	)	)	PUNCT
cana-1481	51	66	,	,	PUNCT
cana-1481	51	67	,	,	PUNCT
cana-1481	51	68	,	,	PUNCT
cana-1481	51	69	(	(	PUNCT
cana-1481	51	70	(	(	PUNCT
cana-1481	51	71	3	3	NUM
cana-1481	51	72	1	1	NUM
cana-1481	51	73	)	)	PUNCT
cana-1481	51	74	)	)	PUNCT
cana-1481	51	75	,	,	PUNCT
cana-1481	51	76	,	,	PUNCT
cana-1481	51	77	,	,	PUNCT
cana-1481	51	78	(	(	PUNCT
cana-1481	51	79	(	(	PUNCT
cana-1481	51	80	)	)	PUNCT
cana-1481	51	81	)	)	PUNCT
cana-1481	51	82	,	,	PUNCT
cana-1481	51	83	,	,	PUNCT
cana-1481	51	84	,	,	PUNCT
cana-1481	51	85	(	(	PUNCT
cana-1481	51	86	(	(	PUNCT
cana-1481	51	87	)	)	PUNCT
cana-1481	51	88	)	)	PUNCT
cana-1481	51	89	,	,	PUNCT
cana-1481	51	90	,	,	PUNCT
cana-1481	51	91	,	,	PUNCT
cana-1481	51	92	(	(	PUNCT
cana-1481	51	93	(	(	PUNCT
cana-1481	51	94	)	)	PUNCT
cana-1481	51	95	)	)	PUNCT
cana-1481	51	96	,	,	PUNCT
cana-1481	51	97	,	,	PUNCT
cana-1481	51	98	,	,	PUNCT
cana-1481	51	99	(	(	PUNCT
cana-1481	51	100	(	(	PUNCT
cana-1481	51	101	)	)	PUNCT
cana-1481	51	102	)	)	PUNCT
cana-1481	51	103	,	,	PUNCT
cana-1481	51	104	,	,	PUNCT
cana-1481	51	105	,	,	PUNCT
cana-1481	51	106	(	(	PUNCT
cana-1481	51	107	(	(	PUNCT
cana-1481	51	108	)	)	PUNCT
cana-1481	51	109	)	)	PUNCT
cana-1481	51	110	,	,	PUNCT
cana-1481	51	111	,	,	PUNCT
cana-1481	51	112	,	,	PUNCT
cana-1481	51	113	(	(	PUNCT
cana-1481	51	114	(	(	PUNCT
cana-1481	51	115	)	)	PUNCT
cana-1481	51	116	)	)	PUNCT
cana-1481	51	117	,	,	PUNCT
cana-1481	51	118	,	,	PUNCT
cana-1481	51	119	,	,	PUNCT
cana-1481	51	120	(	(	PUNCT
cana-1481	51	121	(	(	PUNCT
cana-1481	51	122	max	max	PROPN
cana-1481	51	123	{	{	PUNCT
cana-1481	51	124	)	)	PUNCT
cana-1481	51	125	)	)	PUNCT
cana-1481	51	126	,	,	PUNCT
cana-1481	51	127	,	,	PUNCT
cana-1481	51	128	(	(	PUNCT
cana-1481	51	129	(	(	PUNCT
cana-1481	51	130			VERB
cana-1481	51	131			VERB
cana-1481	51	132			PROPN
cana-1481	51	133			PRON
cana-1481	51	134	jjgk	jjgk	NOUN
cana-1481	51	135	jjgkjjgkjjgk	jjgkjjgkjjgk	ADJ
cana-1481	51	136	hhgkhhgkjjgk	hhgkhhgkjjgk	PROPN
cana-1481	51	137	jjgkhhgkgkjjhg	jjgkhhgkgkjjhg	VERB
cana-1481	51	138			NOUN
cana-1481	51	139	communications	communication	NOUN
cana-1481	51	140	on	on	ADP
cana-1481	51	141	applied	apply	VERB
cana-1481	51	142	nonlinear	nonlinear	ADJ
cana-1481	51	143	analysis	analysis	NOUN
cana-1481	51	144	issn	issn	NOUN
cana-1481	51	145	:	:	PUNCT
cana-1481	51	146	1074	1074	NUM
cana-1481	51	147	-	-	PUNCT
cana-1481	51	148	133x	133x	NUM
cana-1481	51	149	vol	vol	NOUN
cana-1481	51	150	31	31	NUM
cana-1481	51	151	no	no	NOUN
cana-1481	51	152	.	.	PUNCT
cana-1481	52	1	8s	8s	PROPN
cana-1481	52	2	(	(	PUNCT
cana-1481	52	3	2024	2024	NUM
cana-1481	52	4	)	)	PUNCT
cana-1481	52	5	261	261	NUM
cana-1481	52	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	52	7	)	)	PUNCT
cana-1481	52	8	2	2	NUM
cana-1481	52	9	(	(	PUNCT
cana-1481	52	10	........................................	........................................	PUNCT
cana-1481	52	11	)	)	PUNCT
cana-1481	52	12	)	)	PUNCT
cana-1481	52	13	}	}	PUNCT
cana-1481	52	14	,	,	PUNCT
cana-1481	52	15	,	,	PUNCT
cana-1481	52	16	(	(	PUNCT
cana-1481	52	17	(	(	PUNCT
cana-1481	52	18	3	3	NUM
cana-1481	52	19	1	1	NUM
cana-1481	52	20	)	)	PUNCT
cana-1481	52	21	)	)	PUNCT
cana-1481	52	22	,	,	PUNCT
cana-1481	52	23	,	,	PUNCT
cana-1481	52	24	,	,	PUNCT
cana-1481	52	25	(	(	PUNCT
cana-1481	52	26	(	(	PUNCT
cana-1481	52	27	3	3	NUM
cana-1481	52	28	1	1	NUM
cana-1481	52	29	)	)	PUNCT
cana-1481	52	30	)	)	PUNCT
cana-1481	52	31	,	,	PUNCT
cana-1481	52	32	,	,	PUNCT
cana-1481	52	33	,	,	PUNCT
cana-1481	52	34	(	(	PUNCT
cana-1481	52	35	(	(	PUNCT
cana-1481	52	36	3	3	NUM
cana-1481	52	37	1	1	NUM
cana-1481	52	38	)	)	PUNCT
cana-1481	52	39	)	)	PUNCT
cana-1481	52	40	,	,	PUNCT
cana-1481	52	41	,	,	PUNCT
cana-1481	52	42	,	,	PUNCT
cana-1481	52	43	(	(	PUNCT
cana-1481	52	44	(	(	PUNCT
cana-1481	52	45	)	)	PUNCT
cana-1481	52	46	)	)	PUNCT
cana-1481	52	47	,	,	PUNCT
cana-1481	52	48	,	,	PUNCT
cana-1481	52	49	,	,	PUNCT
cana-1481	52	50	(	(	PUNCT
cana-1481	52	51	(	(	PUNCT
cana-1481	52	52	)	)	PUNCT
cana-1481	52	53	)	)	PUNCT
cana-1481	52	54	,	,	PUNCT
cana-1481	52	55	,	,	PUNCT
cana-1481	52	56	,	,	PUNCT
cana-1481	52	57	(	(	PUNCT
cana-1481	52	58	(	(	PUNCT
cana-1481	52	59	)	)	PUNCT
cana-1481	52	60	)	)	PUNCT
cana-1481	52	61	,	,	PUNCT
cana-1481	52	62	,	,	PUNCT
cana-1481	52	63	,	,	PUNCT
cana-1481	52	64	(	(	PUNCT
cana-1481	52	65	(	(	PUNCT
cana-1481	52	66	)	)	PUNCT
cana-1481	52	67	)	)	PUNCT
cana-1481	52	68	,	,	PUNCT
cana-1481	52	69	,	,	PUNCT
cana-1481	52	70	,	,	PUNCT
cana-1481	52	71	(	(	PUNCT
cana-1481	52	72	(	(	PUNCT
cana-1481	52	73	)	)	PUNCT
cana-1481	52	74	)	)	PUNCT
cana-1481	52	75	,	,	PUNCT
cana-1481	52	76	,	,	PUNCT
cana-1481	52	77	,	,	PUNCT
cana-1481	52	78	(	(	PUNCT
cana-1481	52	79	(	(	PUNCT
cana-1481	52	80	)	)	PUNCT
cana-1481	52	81	)	)	PUNCT
cana-1481	52	82	,	,	PUNCT
cana-1481	52	83	,	,	PUNCT
cana-1481	52	84	,	,	PUNCT
cana-1481	52	85	(	(	PUNCT
cana-1481	52	86	(	(	PUNCT
cana-1481	52	87	max	max	PROPN
cana-1481	52	88	{	{	PUNCT
cana-1481	52	89	)	)	PUNCT
cana-1481	52	90	)	)	PUNCT
cana-1481	52	91	,	,	PUNCT
cana-1481	52	92	,	,	PUNCT
cana-1481	52	93	(	(	PUNCT
cana-1481	52	94	(	(	PUNCT
cana-1481	52	95			PROPN
cana-1481	52	96			ADV
cana-1481	52	97			PUNCT
cana-1481	52	98			NOUN
cana-1481	52	99	jjgk	jjgk	NOUN
cana-1481	52	100	hhgkhhgkjjgk	hhgkhhgkjjgk	PROPN
cana-1481	52	101	hhgkhhgkjjgk	hhgkhhgkjjgk	VERB
cana-1481	52	102	hhgkjjgkgkhhjg	hhgkjjgkgkhhjg	VERB
cana-1481	52	103			NOUN
cana-1481	52	104	example.3.5.define	example.3.5.define	CCONJ
cana-1481	52	105	}	}	PUNCT
cana-1481	52	106	0	0	NUM
cana-1481	52	107	{	{	PUNCT
cana-1481	52	108	]	]	X
cana-1481	52	109	4	4	NUM
cana-1481	52	110	1	1	NUM
cana-1481	52	111	,	,	PUNCT
cana-1481	52	112	0	0	NUM
cana-1481	53	1	[	[	X
cana-1481	53	2	]	]	X
cana-1481	53	3	4	4	NUM
cana-1481	53	4	1	1	NUM
cana-1481	53	5	,	,	PUNCT
cana-1481	53	6	0	0	NUM
cana-1481	54	1	[	[	X
cana-1481	54	2	]	]	X
cana-1481	54	3	4	4	NUM
cana-1481	54	4	1	1	NUM
cana-1481	54	5	,	,	PUNCT
cana-1481	54	6	0	0	NUM
cana-1481	55	1	[:	[:	X
cana-1481	55	2	→	→	NOUN
cana-1481	55	3	+	+	CCONJ
cana-1481	55	4	rg	rg	VERB
cana-1481	55	5	by	by	ADP
cana-1481	55	6	||||||	||||||	NOUN
cana-1481	55	7	)	)	PUNCT
cana-1481	55	8	,	,	PUNCT
cana-1481	55	9	,	,	PUNCT
cana-1481	55	10	(	(	PUNCT
cana-1481	55	11			PROPN
cana-1481	55	12	−+−+−=g	−+−+−=g	PROPN
cana-1481	55	13	and	and	CCONJ
cana-1481	55	14	]	]	PUNCT
cana-1481	55	15	4	4	NUM
cana-1481	55	16	1	1	NUM
cana-1481	55	17	,	,	PUNCT
cana-1481	55	18	0	0	NUM
cana-1481	56	1	[	[	X
cana-1481	56	2	]	]	X
cana-1481	56	3	4	4	NUM
cana-1481	56	4	1	1	NUM
cana-1481	56	5	,	,	PUNCT
cana-1481	56	6	0	0	NUM
cana-1481	57	1	[:	[:	X
cana-1481	57	2	,	,	PUNCT
cana-1481	57	3	→jh	→jh	X
cana-1481	57	4	by	by	ADP
cana-1481	57	5	2	2	NUM
cana-1481	57	6	=	=	NOUN
cana-1481	57	7	h	h	PROPN
cana-1481	57	8	and	and	CCONJ
cana-1481	57	9	4	4	NUM
cana-1481	58	1	=	=	SYM
cana-1481	58	2	j	j	PROPN
cana-1481	58	3	.	.	PUNCT
cana-1481	59	1	also	also	ADV
cana-1481	59	2	define	define	VERB
cana-1481	59	3			NOUN
cana-1481	59	4	on	on	ADP
cana-1481	59	5	}	}	PUNCT
cana-1481	59	6	0{}0	0{}0	PROPN
cana-1481	59	7	{	{	PUNCT
cana-1481	59	8	→	→	AUX
cana-1481	60	1	+	+	PROPN
cana-1481	60	2	+	+	X
cana-1481	60	3	rr	rr	X
cana-1481	60	4	.	.	PUNCT
cana-1481	61	1	by	by	ADP
cana-1481	61	2			PROPN
cana-1481	61	3			PROPN
cana-1481	61	4			VERB
cana-1481	62	1	+	+	CCONJ
cana-1481	63	1	=	=	SYM
cana-1481	63	2	1	1	X
cana-1481	63	3	)	)	PUNCT
cana-1481	63	4	(	(	PUNCT
cana-1481	63	5	and	and	CCONJ
cana-1481	63	6	}	}	PUNCT
cana-1481	63	7	0	0	NUM
cana-1481	63	8	{	{	PUNCT
cana-1481	63	9	]	]	X
cana-1481	63	10	4	4	NUM
cana-1481	63	11	1	1	NUM
cana-1481	63	12	,	,	PUNCT
cana-1481	63	13	0	0	NUM
cana-1481	63	14	[	[	X
cana-1481	63	15	]	]	X
cana-1481	63	16	4	4	NUM
cana-1481	63	17	1	1	NUM
cana-1481	63	18	,	,	PUNCT
cana-1481	63	19	0	0	NUM
cana-1481	63	20	[	[	X
cana-1481	63	21	]	]	X
cana-1481	63	22	4	4	NUM
cana-1481	63	23	1	1	NUM
cana-1481	63	24	,	,	PUNCT
cana-1481	63	25	0	0	NUM
cana-1481	63	26	[:	[:	NOUN
cana-1481	63	27	,	,	PUNCT
cana-1481	63	28	→	→	NOUN
cana-1481	63	29	+	+	ADP
cana-1481	63	30	r	r	PROPN
cana-1481	63	31	by	by	ADP
cana-1481	63	32			NOUN
cana-1481	63	33	e=	e=	NOUN
cana-1481	63	34	)	)	PUNCT
cana-1481	63	35	,	,	PUNCT
cana-1481	63	36	,	,	PUNCT
cana-1481	63	37	(	(	PUNCT
cana-1481	63	38	and	and	CCONJ
cana-1481	63	39			VERB
cana-1481	64	1	+	+	PROPN
cana-1481	64	2	+	+	ADJ
cana-1481	64	3	=	=	ADJ
cana-1481	64	4	e	e	NOUN
cana-1481	64	5	)	)	PUNCT
cana-1481	64	6	,	,	PUNCT
cana-1481	64	7	,	,	PUNCT
cana-1481	64	8	(	(	PUNCT
cana-1481	64	9	then	then	ADV
cana-1481	64	10	)	)	PUNCT
cana-1481	64	11	,	,	PUNCT
cana-1481	64	12	(	(	PUNCT
cana-1481	64	13	jh	jh	PROPN
cana-1481	64	14	is	be	AUX
cana-1481	64	15	an	an	DET
cana-1481	64	16	g	g	NOUN
cana-1481	64	17	)	)	PUNCT
cana-1481	64	18	,	,	PUNCT
cana-1481	64	19	,	,	PUNCT
cana-1481	64	20	(	(	PUNCT
cana-1481	64	21			PROPN
cana-1481	64	22	contraction	contraction	NOUN
cana-1481	64	23	.	.	PUNCT
cana-1481	65	1	proof	proof	NOUN
cana-1481	65	2	.	.	PUNCT
cana-1481	66	1	given	give	VERB
cana-1481	66	2			PROPN
cana-1481	66	3			PROPN
cana-1481	66	4			X
cana-1481	66	5			NOUN
cana-1481	66	6			VERB
cana-1481	66	7			PROPN
cana-1481	66	8			NOUN
cana-1481	66	9	4	4	NUM
cana-1481	66	10	1	1	NUM
cana-1481	66	11	,	,	PUNCT
cana-1481	66	12	0	0	NUM
cana-1481	66	13	,	,	PUNCT
cana-1481	66	14	,	,	PUNCT
cana-1481	66	15			PROPN
cana-1481	66	16	is	be	AUX
cana-1481	66	17	such	such	ADJ
cana-1481	66	18	that	that	PRON
cana-1481	66	19	)	)	PUNCT
cana-1481	66	20	,	,	PUNCT
cana-1481	66	21	,	,	PUNCT
cana-1481	66	22	(	(	PUNCT
cana-1481	66	23	)	)	PUNCT
cana-1481	66	24	,	,	PUNCT
cana-1481	66	25	,	,	PUNCT
cana-1481	66	26	(	(	PUNCT
cana-1481	66	27			NOUN
cana-1481	66	28			NUM
cana-1481	66	29	then	then	ADV
cana-1481	66	30			VERB
cana-1481	67	1	+	+	NOUN
cana-1481	67	2	+	+	PROPN
cana-1481	67	3			NUM
cana-1481	67	4	ee	ee	NOUN
cana-1481	67	5	.	.	PUNCT
cana-1481	68	1	therefore	therefore	ADV
cana-1481	68	2	,	,	PUNCT
cana-1481	68	3	we	we	PRON
cana-1481	68	4	conclude	conclude	VERB
cana-1481	68	5	that	that	PRON
cana-1481	68	6	0==	0==	NUM
cana-1481	68	7			NOUN
cana-1481	68	8	.	.	PUNCT
cana-1481	69	1	since	since	SCONJ
cana-1481	69	2	4	4	NUM
cana-1481	69	3	1	1	NUM
cana-1481	69	4			NOUN
cana-1481	69	5	,	,	PUNCT
cana-1481	69	6	we	we	PRON
cana-1481	69	7	have	have	VERB
cana-1481	69	8	)	)	PUNCT
cana-1481	69	9	)	)	PUNCT
cana-1481	69	10	,	,	PUNCT
cana-1481	69	11	,	,	PUNCT
cana-1481	69	12	(	(	PUNCT
cana-1481	69	13	(	(	PUNCT
cana-1481	69	14	3	3	NUM
cana-1481	69	15	1	1	NUM
cana-1481	69	16	21	21	NUM
cana-1481	69	17	2	2	NUM
cana-1481	69	18	3	3	NUM
cana-1481	69	19	1	1	NUM
cana-1481	69	20	21	21	NUM
cana-1481	69	21	2	2	NUM
cana-1481	69	22	)	)	PUNCT
cana-1481	69	23	2())0,0	2())0,0	NUM
cana-1481	69	24	,	,	PUNCT
cana-1481	69	25	(	(	PUNCT
cana-1481	69	26	(	(	PUNCT
cana-1481	69	27	)	)	PUNCT
cana-1481	69	28	)	)	PUNCT
cana-1481	69	29	,	,	PUNCT
cana-1481	69	30	,	,	PUNCT
cana-1481	69	31	(	(	PUNCT
cana-1481	69	32	(	(	PUNCT
cana-1481	69	33	2	2	NUM
cana-1481	69	34	2	2	NUM
cana-1481	69	35	22	22	NUM
cana-1481	69	36			PROPN
cana-1481	69	37			PROPN
cana-1481	69	38			PROPN
cana-1481	69	39			PROPN
cana-1481	69	40			PROPN
cana-1481	69	41			PRON
cana-1481	69	42	ggjjhg	ggjjhg	ADV
cana-1481	69	43	=	=	PUNCT
cana-1481	70	1	+	+	NUM
cana-1481	70	2			NOUN
cana-1481	70	3	+	+	CCONJ
cana-1481	70	4	=	=	PUNCT
cana-1481	70	5	=	=	SYM
cana-1481	70	6	=	=	NOUN
cana-1481	70	7	and	and	CCONJ
cana-1481	70	8	)	)	PUNCT
cana-1481	70	9	)	)	PUNCT
cana-1481	70	10	,	,	PUNCT
cana-1481	70	11	,	,	PUNCT
cana-1481	70	12	(	(	PUNCT
cana-1481	70	13	(	(	PUNCT
cana-1481	70	14	3	3	NUM
cana-1481	70	15	1	1	NUM
cana-1481	70	16	21	21	NUM
cana-1481	70	17	2	2	NUM
cana-1481	70	18	3	3	NUM
cana-1481	70	19	1	1	NUM
cana-1481	70	20	21	21	NUM
cana-1481	70	21	2	2	NUM
cana-1481	70	22	)	)	PUNCT
cana-1481	70	23	2())0,0	2())0,0	NUM
cana-1481	70	24	,	,	PUNCT
cana-1481	70	25	(	(	PUNCT
cana-1481	70	26	(	(	PUNCT
cana-1481	70	27	)	)	PUNCT
cana-1481	70	28	)	)	PUNCT
cana-1481	70	29	,	,	PUNCT
cana-1481	70	30	,	,	PUNCT
cana-1481	70	31	(	(	PUNCT
cana-1481	70	32	(	(	PUNCT
cana-1481	70	33	4	4	NUM
cana-1481	70	34	4	4	NUM
cana-1481	70	35	44	44	NUM
cana-1481	70	36			PROPN
cana-1481	70	37			PROPN
cana-1481	70	38			PROPN
cana-1481	70	39			PROPN
cana-1481	70	40			PROPN
cana-1481	70	41			PROPN
cana-1481	70	42	gghhjg	gghhjg	PROPN
cana-1481	70	43	=	=	PUNCT
cana-1481	71	1	+	+	NUM
cana-1481	71	2			NOUN
cana-1481	71	3	+	+	CCONJ
cana-1481	71	4	=	=	PUNCT
cana-1481	71	5	=	=	SYM
cana-1481	71	6	=	=	X
cana-1481	71	7	.	.	PUNCT
cana-1481	72	1	so	so	ADV
cana-1481	72	2	pair	pair	NOUN
cana-1481	72	3	)	)	PUNCT
cana-1481	72	4	,	,	PUNCT
cana-1481	72	5	(	(	PUNCT
cana-1481	72	6	jh	jh	PROPN
cana-1481	72	7	is	be	AUX
cana-1481	72	8	an	an	DET
cana-1481	72	9	g	g	NOUN
cana-1481	72	10	)	)	PUNCT
cana-1481	72	11	,	,	PUNCT
cana-1481	72	12	,	,	PUNCT
cana-1481	72	13	(	(	PUNCT
cana-1481	72	14			PROPN
cana-1481	72	15	contraction	contraction	PROPN
cana-1481	72	16	.	.	PUNCT
cana-1481	73	1	the	the	DET
cana-1481	73	2	main	main	ADJ
cana-1481	73	3	outcome	outcome	NOUN
cana-1481	73	4	of	of	ADP
cana-1481	73	5	this	this	DET
cana-1481	73	6	study	study	NOUN
cana-1481	73	7	is	be	AUX
cana-1481	73	8	theorem	theorem	VERB
cana-1481	73	9	.	.	PUNCT
cana-1481	73	10	3.6	3.6	NUM
cana-1481	73	11	.	.	PUNCT
cana-1481	74	1	on	on	ADP
cana-1481	74	2	the	the	DET
cana-1481	74	3	set	set	PROPN
cana-1481	74	4	,	,	PUNCT
cana-1481	74	5	let	let	VERB
cana-1481	74	6	}	}	PUNCT
cana-1481	74	7	0	0	NUM
cana-1481	74	8	{	{	PUNCT
cana-1481	74	9	:	:	PUNCT
cana-1481	74	10	,	,	PUNCT
cana-1481	74	11	→	→	PROPN
cana-1481	75	1	+	+	ADV
cana-1481	75	2	r	r	PROPN
cana-1481	75	3	be	be	VERB
cana-1481	75	4	two	two	NUM
cana-1481	75	5	functions	function	NOUN
cana-1481	75	6	and	and	CCONJ
cana-1481	75	7	h	h	NOUN
cana-1481	75	8	,	,	PUNCT
cana-1481	75	9	j	j	PROPN
cana-1481	75	10	be	be	VERB
cana-1481	75	11	two	two	NUM
cana-1481	75	12	selfmappings	selfmapping	NOUN
cana-1481	75	13	on	on	ADV
cana-1481	75	14	.	.	PUNCT
cana-1481	76	1	assume	assume	VERB
cana-1481	76	2	there	there	PRON
cana-1481	76	3	exists	exist	VERB
cana-1481	76	4	a	a	DET
cana-1481	76	5	metric	metric	ADJ
cana-1481	76	6	g	g	NOUN
cana-1481	76	7	on	on	ADP
cana-1481	76	8			PROPN
cana-1481	76	9	such	such	ADJ
cana-1481	76	10	that	that	SCONJ
cana-1481	76	11	the	the	DET
cana-1481	76	12	following	follow	VERB
cana-1481	76	13	hypothesis	hypothesis	NOUN
cana-1481	76	14	hold	hold	NOUN
cana-1481	76	15	:	:	PUNCT
cana-1481	76	16	let	let	VERB
cana-1481	76	17	}	}	PUNCT
cana-1481	76	18	0	0	NUM
cana-1481	76	19	{	{	PUNCT
cana-1481	76	20	:	:	PUNCT
cana-1481	76	21	,	,	PUNCT
cana-1481	76	22	→	→	PROPN
cana-1481	77	1	+	+	ADV
cana-1481	77	2	r	r	PROPN
cana-1481	77	3	be	be	VERB
cana-1481	77	4	two	two	NUM
cana-1481	77	5	functions	function	NOUN
cana-1481	77	6	on	on	NOUN
cana-1481	77	7	,	,	PUNCT
cana-1481	77	8	with	with	ADP
cana-1481	77	9	h	h	NOUN
cana-1481	77	10	and	and	CCONJ
cana-1481	77	11	j	j	PROPN
cana-1481	77	12	being	be	AUX
cana-1481	77	13	two	two	NUM
cana-1481	77	14	self	self	NOUN
cana-1481	77	15	-	-	PUNCT
cana-1481	77	16	mappings	mapping	NOUN
cana-1481	77	17	.	.	PUNCT
cana-1481	78	1	assume	assume	VERB
cana-1481	78	2	there	there	PRON
cana-1481	78	3	is	be	VERB
cana-1481	78	4	a	a	DET
cana-1481	78	5	metric	metric	ADJ
cana-1481	78	6	g	g	NOUN
cana-1481	78	7	on	on	ADP
cana-1481	78	8	which	which	PRON
cana-1481	78	9	the	the	DET
cana-1481	78	10	following	follow	VERB
cana-1481	78	11	hypothesis	hypothesis	NOUN
cana-1481	78	12	holds	hold	VERB
cana-1481	78	13	:	:	PUNCT
cana-1481	78	14	1	1	NUM
cana-1481	78	15	.	.	NUM
cana-1481	78	16	)	)	PUNCT
cana-1481	78	17	,	,	PUNCT
cana-1481	78	18	(	(	PUNCT
cana-1481	78	19	g	g	PRON
cana-1481	78	20	is	be	AUX
cana-1481	78	21	an	an	DET
cana-1481	78	22	−−g	−−g	NOUN
cana-1481	78	23	,	,	PUNCT
cana-1481	78	24	complete	complete	ADJ
cana-1481	78	25	metric	metric	ADJ
cana-1481	78	26	space	space	NOUN
cana-1481	78	27	.	.	PUNCT
cana-1481	79	1	2	2	X
cana-1481	79	2	.	.	X
cana-1481	79	3	h	h	PROPN
cana-1481	79	4	and	and	CCONJ
cana-1481	79	5	j	j	PROPN
cana-1481	79	6	are	be	AUX
cana-1481	79	7	−−g	−−g	NOUN
cana-1481	79	8	,	,	PUNCT
cana-1481	79	9	continuous	continuous	ADJ
cana-1481	79	10	.	.	PUNCT
cana-1481	80	1	3	3	NUM
cana-1481	80	2	.	.	NUM
cana-1481	80	3	)	)	PUNCT
cana-1481	81	1	j	j	PROPN
cana-1481	81	2	h	h	PROPN
cana-1481	81	3	,	,	PUNCT
cana-1481	81	4	(	(	PUNCT
cana-1481	81	5	is	be	AUX
cana-1481	81	6	an	an	DET
cana-1481	81	7	g	g	NOUN
cana-1481	81	8	)	)	PUNCT
cana-1481	81	9	,	,	PUNCT
cana-1481	81	10	,	,	PUNCT
cana-1481	81	11	(	(	PUNCT
cana-1481	81	12			PROPN
cana-1481	81	13	contraction	contraction	NOUN
cana-1481	81	14	.	.	PUNCT
cana-1481	82	1	4	4	X
cana-1481	82	2	.	.	X
cana-1481	82	3	)	)	PUNCT
cana-1481	83	1	j	j	PROPN
cana-1481	83	2	h	h	PROPN
cana-1481	83	3	,	,	PUNCT
cana-1481	83	4	(	(	PUNCT
cana-1481	83	5	is	be	AUX
cana-1481	83	6	a	a	DET
cana-1481	83	7	pair	pair	NOUN
cana-1481	83	8	of	of	ADP
cana-1481	83	9	−−g	−−g	PROPN
cana-1481	83	10	)	)	PUNCT
cana-1481	83	11	,	,	PUNCT
cana-1481	83	12	(	(	PUNCT
cana-1481	83	13			X
cana-1481	83	14	admissibility	admissibility	NOUN
cana-1481	83	15	.	.	PUNCT
cana-1481	84	1	communications	communication	NOUN
cana-1481	84	2	on	on	ADP
cana-1481	84	3	applied	apply	VERB
cana-1481	84	4	nonlinear	nonlinear	ADJ
cana-1481	84	5	analysis	analysis	NOUN
cana-1481	84	6	issn	issn	NOUN
cana-1481	84	7	:	:	PUNCT
cana-1481	84	8	1074	1074	NUM
cana-1481	84	9	-	-	PUNCT
cana-1481	84	10	133x	133x	NUM
cana-1481	84	11	vol	vol	NOUN
cana-1481	84	12	31	31	NUM
cana-1481	84	13	no	no	NOUN
cana-1481	84	14	.	.	PUNCT
cana-1481	85	1	8s	8s	PROPN
cana-1481	85	2	(	(	PUNCT
cana-1481	85	3	2024	2024	NUM
cana-1481	85	4	)	)	PUNCT
cana-1481	85	5	262	262	NUM
cana-1481	85	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	85	7	5	5	NUM
cana-1481	85	8	.	.	PUNCT
cana-1481	86	1	if	if	SCONJ
cana-1481	86	2			NOUN
cana-1481	86	3	,	,	PUNCT
cana-1481	86	4	,	,	PUNCT
cana-1481	86	5	satisfy	satisfy	VERB
cana-1481	86	6	the	the	DET
cana-1481	86	7	condition	condition	NOUN
cana-1481	86	8	)	)	PUNCT
cana-1481	86	9	,	,	PUNCT
cana-1481	86	10	,	,	PUNCT
cana-1481	86	11	(	(	PUNCT
cana-1481	86	12	)	)	PUNCT
cana-1481	86	13	,	,	PUNCT
cana-1481	86	14	,	,	PUNCT
cana-1481	86	15	(	(	PUNCT
cana-1481	86	16			PROPN
cana-1481	86	17			NUM
cana-1481	86	18	and	and	CCONJ
cana-1481	86	19	)	)	PUNCT
cana-1481	86	20	,	,	PUNCT
cana-1481	86	21	,	,	PUNCT
cana-1481	86	22	(	(	PUNCT
cana-1481	86	23	)	)	PUNCT
cana-1481	86	24	,	,	PUNCT
cana-1481	86	25	,	,	PUNCT
cana-1481	86	26	(	(	PUNCT
cana-1481	86	27			PROPN
cana-1481	86	28			PROPN
cana-1481	86	29	then	then	ADV
cana-1481	86	30	)	)	PUNCT
cana-1481	86	31	,	,	PUNCT
cana-1481	86	32	,	,	PUNCT
cana-1481	86	33	(	(	PUNCT
cana-1481	86	34	)	)	PUNCT
cana-1481	86	35	,	,	PUNCT
cana-1481	86	36	,	,	PUNCT
cana-1481	86	37	(	(	PUNCT
cana-1481	86	38			PROPN
cana-1481	86	39			NUM
cana-1481	86	40	6	6	NUM
cana-1481	86	41	.	.	PUNCT
cana-1481	87	1	there	there	PRON
cana-1481	87	2	exists	exist	VERB
cana-1481	87	3	0	0	PRON
cana-1481	87	4	such	such	ADJ
cana-1481	87	5	that	that	PRON
cana-1481	87	6	)	)	PUNCT
cana-1481	87	7	,	,	PUNCT
cana-1481	87	8	,	,	PUNCT
cana-1481	87	9	(	(	PUNCT
cana-1481	87	10	)	)	PUNCT
cana-1481	87	11	,	,	PUNCT
cana-1481	87	12	,	,	PUNCT
cana-1481	87	13	(	(	PUNCT
cana-1481	87	14	000000	000000	NUM
cana-1481	87	15			VERB
cana-1481	87	16	jhjhhjhjhh	jhjhhjhjhh	PROPN
cana-1481	87	17			PROPN
cana-1481	87	18	and	and	CCONJ
cana-1481	87	19	)	)	PUNCT
cana-1481	87	20	,	,	PUNCT
cana-1481	87	21	,	,	PUNCT
cana-1481	87	22	(	(	PUNCT
cana-1481	87	23	)	)	PUNCT
cana-1481	87	24	,	,	PUNCT
cana-1481	87	25	,	,	PUNCT
cana-1481	87	26	(	(	PUNCT
cana-1481	87	27	000000	000000	NUM
cana-1481	87	28			VERB
cana-1481	87	29	hhjhhhjh	hhjhhhjh	PROPN
cana-1481	87	30			PROPN
cana-1481	87	31	then	then	ADV
cana-1481	87	32	both	both	DET
cana-1481	87	33	mappings	mapping	NOUN
cana-1481	87	34	h	h	NOUN
cana-1481	87	35	and	and	CCONJ
cana-1481	87	36	j	j	PROPN
cana-1481	87	37	have	have	VERB
cana-1481	87	38	common	common	ADJ
cana-1481	87	39	fixed	fix	VERB
cana-1481	87	40	point	point	NOUN
cana-1481	87	41	.	.	PUNCT
cana-1481	88	1	proof	proof	NOUN
cana-1481	88	2	:	:	PUNCT
cana-1481	88	3	in	in	ADP
cana-1481	88	4	considering	consider	VERB
cana-1481	88	5	premise	premise	NOUN
cana-1481	88	6	(	(	PUNCT
cana-1481	88	7	6	6	NUM
cana-1481	88	8	)	)	PUNCT
cana-1481	88	9	,	,	PUNCT
cana-1481	88	10	we	we	PRON
cana-1481	88	11	begin	begin	VERB
cana-1481	88	12	with	with	ADP
cana-1481	88	13	0	0	PROPN
cana-1481	88	14	in	in	ADP
cana-1481	88	15	such	such	DET
cana-1481	88	16	a	a	DET
cana-1481	88	17	way	way	NOUN
cana-1481	88	18	that	that	PRON
cana-1481	88	19	)	)	PUNCT
cana-1481	88	20	,	,	PUNCT
cana-1481	88	21	,	,	PUNCT
cana-1481	88	22	(	(	PUNCT
cana-1481	88	23	)	)	PUNCT
cana-1481	88	24	,	,	PUNCT
cana-1481	88	25	,	,	PUNCT
cana-1481	88	26	(	(	PUNCT
cana-1481	88	27	000000	000000	NUM
cana-1481	88	28			VERB
cana-1481	88	29	jhjhhjhjhh	jhjhhjhjhh	PROPN
cana-1481	88	30			PROPN
cana-1481	88	31	and	and	CCONJ
cana-1481	88	32	)	)	PUNCT
cana-1481	88	33	,	,	PUNCT
cana-1481	88	34	,	,	PUNCT
cana-1481	88	35	(	(	PUNCT
cana-1481	88	36	)	)	PUNCT
cana-1481	88	37	,	,	PUNCT
cana-1481	88	38	,	,	PUNCT
cana-1481	88	39	(	(	PUNCT
cana-1481	88	40	000000	000000	NUM
cana-1481	88	41			VERB
cana-1481	88	42	hhjhhhjh	hhjhhhjh	PROPN
cana-1481	88	43			PROPN
cana-1481	88	44	.	.	PUNCT
cana-1481	89	1	now	now	ADV
cana-1481	89	2	,	,	PUNCT
cana-1481	89	3	let	let	VERB
cana-1481	89	4	01	01	NUM
cana-1481	89	5			PROPN
cana-1481	89	6	h=	h=	NOUN
cana-1481	89	7	,	,	PUNCT
cana-1481	89	8	12	12	NUM
cana-1481	89	9			PROPN
cana-1481	89	10	j=	j=	NOUN
cana-1481	89	11	then	then	ADV
cana-1481	89	12	)	)	PUNCT
cana-1481	89	13	,	,	PUNCT
cana-1481	89	14	,	,	PUNCT
cana-1481	89	15	(	(	PUNCT
cana-1481	89	16	)	)	PUNCT
cana-1481	89	17	,	,	PUNCT
cana-1481	89	18	,	,	PUNCT
cana-1481	89	19	(	(	PUNCT
cana-1481	89	20	110110	110110	NUM
cana-1481	89	21			NOUN
cana-1481	89	22			NUM
cana-1481	89	23	and	and	CCONJ
cana-1481	89	24	)	)	PUNCT
cana-1481	89	25	,	,	PUNCT
cana-1481	89	26	,	,	PUNCT
cana-1481	89	27	(	(	PUNCT
cana-1481	89	28	)	)	PUNCT
cana-1481	89	29	,	,	PUNCT
cana-1481	89	30	,	,	PUNCT
cana-1481	89	31	(	(	PUNCT
cana-1481	89	32	001001	001001	NUM
cana-1481	89	33			NOUN
cana-1481	89	34			NUM
cana-1481	89	35	.	.	PUNCT
cana-1481	90	1	in	in	ADP
cana-1481	90	2	the	the	DET
cana-1481	90	3	view	view	NOUN
cana-1481	90	4	of	of	ADP
cana-1481	90	5	hypothesis	hypothesis	NOUN
cana-1481	90	6	(	(	PUNCT
cana-1481	90	7	4	4	NUM
cana-1481	90	8	)	)	PUNCT
cana-1481	90	9	,	,	PUNCT
cana-1481	90	10	we	we	PRON
cana-1481	90	11	have	have	VERB
cana-1481	90	12	)	)	PUNCT
cana-1481	90	13	,	,	PUNCT
cana-1481	90	14	,	,	PUNCT
cana-1481	90	15	(	(	PUNCT
cana-1481	90	16	)	)	PUNCT
cana-1481	90	17	,	,	PUNCT
cana-1481	90	18	,	,	PUNCT
cana-1481	90	19	(	(	PUNCT
cana-1481	90	20	)	)	PUNCT
cana-1481	90	21	,	,	PUNCT
cana-1481	90	22	,	,	PUNCT
cana-1481	90	23	(	(	PUNCT
cana-1481	90	24	)	)	PUNCT
cana-1481	90	25	,	,	PUNCT
cana-1481	90	26	,	,	PUNCT
cana-1481	90	27	(	(	PUNCT
cana-1481	90	28	221110110221	221110110221	NUM
cana-1481	90	29			NOUN
cana-1481	90	30	=	=	NUM
cana-1481	90	31	=	=	NOUN
cana-1481	90	32	jjhjjh	jjhjjh	PROPN
cana-1481	90	33	and	and	CCONJ
cana-1481	90	34	)	)	PUNCT
cana-1481	90	35	,	,	PUNCT
cana-1481	90	36	,	,	PUNCT
cana-1481	90	37	(	(	PUNCT
cana-1481	90	38	)	)	PUNCT
cana-1481	90	39	,	,	PUNCT
cana-1481	90	40	,	,	PUNCT
cana-1481	90	41	(	(	PUNCT
cana-1481	90	42	)	)	PUNCT
cana-1481	90	43	,	,	PUNCT
cana-1481	90	44	,	,	PUNCT
cana-1481	90	45	(	(	PUNCT
cana-1481	90	46	)	)	PUNCT
cana-1481	90	47	,	,	PUNCT
cana-1481	90	48	,	,	PUNCT
cana-1481	90	49	(	(	PUNCT
cana-1481	90	50	112001001112	112001001112	NUM
cana-1481	90	51			NOUN
cana-1481	90	52	=	=	NUM
cana-1481	90	53	=	=	NOUN
cana-1481	90	54	hhjhhj	hhjhhj	VERB
cana-1481	90	55	again	again	ADV
cana-1481	90	56	we	we	PRON
cana-1481	90	57	put	put	VERB
cana-1481	90	58	23	23	NUM
cana-1481	90	59			PROPN
cana-1481	90	60	h=	h=	NOUN
cana-1481	90	61	,	,	PUNCT
cana-1481	90	62	then	then	ADV
cana-1481	90	63	,	,	PUNCT
cana-1481	90	64	hypothesis	hypothesis	NOUN
cana-1481	90	65	(	(	PUNCT
cana-1481	90	66	4	4	NUM
cana-1481	90	67	)	)	PUNCT
cana-1481	90	68	implies	imply	VERB
cana-1481	90	69	that	that	PRON
cana-1481	90	70	)	)	PUNCT
cana-1481	90	71	,	,	PUNCT
cana-1481	90	72	,	,	PUNCT
cana-1481	90	73	(	(	PUNCT
cana-1481	90	74	)	)	PUNCT
cana-1481	90	75	,	,	PUNCT
cana-1481	90	76	,	,	PUNCT
cana-1481	90	77	(	(	PUNCT
cana-1481	90	78	)	)	PUNCT
cana-1481	90	79	,	,	PUNCT
cana-1481	90	80	,	,	PUNCT
cana-1481	90	81	(	(	PUNCT
cana-1481	90	82	)	)	PUNCT
cana-1481	90	83	,	,	PUNCT
cana-1481	90	84	,	,	PUNCT
cana-1481	90	85	(	(	PUNCT
cana-1481	90	86	332221221332	332221221332	NUM
cana-1481	90	87			NOUN
cana-1481	90	88	=	=	NOUN
cana-1481	90	89	=	=	NOUN
cana-1481	90	90	hhjhhj	hhjhhj	ADJ
cana-1481	90	91	and	and	CCONJ
cana-1481	90	92	)	)	PUNCT
cana-1481	90	93	,	,	PUNCT
cana-1481	90	94	,	,	PUNCT
cana-1481	90	95	(	(	PUNCT
cana-1481	90	96	)	)	PUNCT
cana-1481	90	97	,	,	PUNCT
cana-1481	90	98	,	,	PUNCT
cana-1481	90	99	(	(	PUNCT
cana-1481	90	100	)	)	PUNCT
cana-1481	90	101	,	,	PUNCT
cana-1481	90	102	,	,	PUNCT
cana-1481	90	103	(	(	PUNCT
cana-1481	90	104	)	)	PUNCT
cana-1481	90	105	,	,	PUNCT
cana-1481	90	106	,	,	PUNCT
cana-1481	90	107	(	(	PUNCT
cana-1481	90	108	223112112223	223112112223	NUM
cana-1481	90	109			NOUN
cana-1481	90	110	=	=	NOUN
cana-1481	90	111	=	=	NOUN
cana-1481	90	112	jjhjjh	jjhjjh	ADV
cana-1481	90	113	putting	put	VERB
cana-1481	90	114	34	34	NUM
cana-1481	90	115			PROPN
cana-1481	90	116	j=	j=	NOUN
cana-1481	90	117	and	and	CCONJ
cana-1481	90	118	referring	refer	VERB
cana-1481	90	119	to	to	ADP
cana-1481	90	120	hypothesis	hypothesis	NOUN
cana-1481	90	121	(	(	PUNCT
cana-1481	90	122	4	4	NUM
cana-1481	90	123	)	)	PUNCT
cana-1481	90	124	,	,	PUNCT
cana-1481	90	125	we	we	PRON
cana-1481	90	126	conclude	conclude	VERB
cana-1481	90	127	)	)	PUNCT
cana-1481	90	128	,	,	PUNCT
cana-1481	90	129	,	,	PUNCT
cana-1481	90	130	(	(	PUNCT
cana-1481	90	131	)	)	PUNCT
cana-1481	90	132	,	,	PUNCT
cana-1481	90	133	,	,	PUNCT
cana-1481	90	134	(	(	PUNCT
cana-1481	90	135	)	)	PUNCT
cana-1481	90	136	,	,	PUNCT
cana-1481	90	137	,	,	PUNCT
cana-1481	90	138	(	(	PUNCT
cana-1481	90	139	)	)	PUNCT
cana-1481	90	140	,	,	PUNCT
cana-1481	90	141	,	,	PUNCT
cana-1481	90	142	(	(	PUNCT
cana-1481	90	143	443332332443	443332332443	NUM
cana-1481	90	144			NOUN
cana-1481	90	145	=	=	NUM
cana-1481	90	146	=	=	NOUN
cana-1481	90	147	jjhjjh	jjhjjh	PROPN
cana-1481	90	148	and	and	CCONJ
cana-1481	90	149	)	)	PUNCT
cana-1481	90	150	,	,	PUNCT
cana-1481	90	151	,	,	PUNCT
cana-1481	90	152	(	(	PUNCT
cana-1481	90	153	)	)	PUNCT
cana-1481	90	154	,	,	PUNCT
cana-1481	90	155	,	,	PUNCT
cana-1481	90	156	(	(	PUNCT
cana-1481	90	157	)	)	PUNCT
cana-1481	90	158	,	,	PUNCT
cana-1481	90	159	,	,	PUNCT
cana-1481	90	160	(	(	PUNCT
cana-1481	90	161	)	)	PUNCT
cana-1481	90	162	,	,	PUNCT
cana-1481	90	163	,	,	PUNCT
cana-1481	90	164	(	(	PUNCT
cana-1481	90	165	334223223334	334223223334	NUM
cana-1481	90	166			NOUN
cana-1481	90	167	=	=	NUM
cana-1481	90	168	=	=	NOUN
cana-1481	90	169	hhjhhj	hhjhhj	ADJ
cana-1481	90	170	proceeding	proceed	VERB
cana-1481	90	171	in	in	ADP
cana-1481	90	172	a	a	DET
cana-1481	90	173	similar	similar	ADJ
cana-1481	90	174	fashion	fashion	NOUN
cana-1481	90	175	,	,	PUNCT
cana-1481	90	176	we	we	PRON
cana-1481	90	177	create	create	VERB
cana-1481	90	178	a	a	DET
cana-1481	90	179	sequence	sequence	NOUN
cana-1481	90	180			NUM
cana-1481	90	181	}	}	PUNCT
cana-1481	90	182	{	{	PUNCT
cana-1481	90	183	n	n	X
cana-1481	90	184	with	with	ADP
cana-1481	90	185	nn	nn	INTJ
cana-1481	90	186	h	h	NOUN
cana-1481	90	187	212	212	NUM
cana-1481	91	1			PROPN
cana-1481	91	2	=	=	PUNCT
cana-1481	91	3	+	+	NOUN
cana-1481	91	4	and	and	CCONJ
cana-1481	91	5	1222	1222	NUM
cana-1481	92	1	+	+	ADJ
cana-1481	92	2	+	+	X
cana-1481	92	3	=	=	SYM
cana-1481	92	4	nn	nn	ADJ
cana-1481	92	5	h	h	NOUN
cana-1481	92	6	so	so	SCONJ
cana-1481	92	7	that	that	SCONJ
cana-1481	92	8	nnnnnnnn	nnnnnnnn	PROPN
cana-1481	92	9			PROPN
cana-1481	93	1	+	+	PROPN
cana-1481	94	1	+	+	PROPN
cana-1481	94	2	+	+	ADJ
cana-1481	94	3	+	+	NUM
cana-1481	94	4	)	)	PUNCT
cana-1481	94	5	,	,	PUNCT
cana-1481	94	6	,	,	PUNCT
cana-1481	94	7	(	(	PUNCT
cana-1481	94	8	)	)	PUNCT
cana-1481	94	9	,	,	PUNCT
cana-1481	94	10	,	,	PUNCT
cana-1481	94	11	(	(	PUNCT
cana-1481	94	12	1111	1111	NUM
cana-1481	94	13			NOUN
cana-1481	94	14	and	and	CCONJ
cana-1481	94	15	nnnnnnnn	nnnnnnnn	VERB
cana-1481	94	16			PROPN
cana-1481	95	1	+	+	PROPN
cana-1481	95	2	+	+	NUM
cana-1481	95	3	)	)	PUNCT
cana-1481	95	4	,	,	PUNCT
cana-1481	95	5	,	,	PUNCT
cana-1481	95	6	(	(	PUNCT
cana-1481	95	7	)	)	PUNCT
cana-1481	95	8	,	,	PUNCT
cana-1481	95	9	,	,	PUNCT
cana-1481	95	10	(	(	PUNCT
cana-1481	95	11	11	11	NUM
cana-1481	95	12			NOUN
cana-1481	95	13	.	.	PUNCT
cana-1481	96	1	based	base	VERB
cana-1481	96	2	on	on	ADP
cana-1481	96	3	premise	premise	NOUN
cana-1481	96	4	(	(	PUNCT
cana-1481	96	5	5	5	NUM
cana-1481	96	6	)	)	PUNCT
cana-1481	96	7	,	,	PUNCT
cana-1481	96	8	we	we	PRON
cana-1481	96	9	observe	observe	VERB
cana-1481	96	10	that	that	SCONJ
cana-1481	96	11	nmnmmnmmn	nmnmmnmmn	PROPN
cana-1481	96	12			PROPN
cana-1481	96	13	,	,	PUNCT
cana-1481	96	14	)	)	PUNCT
cana-1481	96	15	,	,	PUNCT
cana-1481	96	16	,	,	PUNCT
cana-1481	96	17	(	(	PUNCT
cana-1481	96	18	)	)	PUNCT
cana-1481	96	19	,	,	PUNCT
cana-1481	96	20	,	,	PUNCT
cana-1481	96	21	(	(	PUNCT
cana-1481	96	22			NOUN
cana-1481	96	23	.	.	PUNCT
cana-1481	97	1	if	if	SCONJ
cana-1481	97	2	there	there	PRON
cana-1481	97	3	exists	exist	VERB
cana-1481	97	4	np	np	PROPN
cana-1481	97	5	so	so	SCONJ
cana-1481	97	6	that	that	SCONJ
cana-1481	97	7	122	122	NUM
cana-1481	98	1	+	+	NOUN
cana-1481	98	2	=	=	X
cana-1481	98	3	pp	pp	ADP
cana-1481	99	1			PROPN
cana-1481	99	2	then	then	ADV
cana-1481	99	3	122	122	NUM
cana-1481	100	1	+	+	NOUN
cana-1481	100	2	=	=	X
cana-1481	100	3	pp	pp	ADP
cana-1481	100	4	h	h	NOUN
cana-1481	101	1	and	and	CCONJ
cana-1481	101	2	hence	hence	ADV
cana-1481	101	3	h	h	NOUN
cana-1481	101	4	has	have	AUX
cana-1481	101	5	fixed	fix	VERB
cana-1481	101	6	point	point	NOUN
cana-1481	101	7	.	.	PUNCT
cana-1481	102	1	based	base	VERB
cana-1481	102	2	on	on	ADP
cana-1481	102	3	premise	premise	NOUN
cana-1481	102	4	(	(	PUNCT
cana-1481	102	5	1	1	NUM
cana-1481	102	6	)	)	PUNCT
cana-1481	102	7	,	,	PUNCT
cana-1481	102	8	we	we	PRON
cana-1481	102	9	have	have	VERB
cana-1481	102	10	)	)	PUNCT
cana-1481	102	11	)	)	PUNCT
cana-1481	102	12	}	}	PUNCT
cana-1481	102	13	,	,	PUNCT
cana-1481	102	14	,	,	PUNCT
cana-1481	102	15	(	(	PUNCT
cana-1481	102	16	(	(	PUNCT
cana-1481	102	17	3	3	NUM
cana-1481	102	18	1	1	NUM
cana-1481	102	19	)	)	PUNCT
cana-1481	102	20	)	)	PUNCT
cana-1481	102	21	,	,	PUNCT
cana-1481	102	22	,	,	PUNCT
cana-1481	102	23	,	,	PUNCT
cana-1481	102	24	(	(	PUNCT
cana-1481	102	25	(	(	PUNCT
cana-1481	102	26	3	3	NUM
cana-1481	102	27	1	1	NUM
cana-1481	102	28	)	)	PUNCT
cana-1481	102	29	)	)	PUNCT
cana-1481	102	30	,	,	PUNCT
cana-1481	102	31	,	,	PUNCT
cana-1481	102	32	,	,	PUNCT
cana-1481	102	33	(	(	PUNCT
cana-1481	102	34	(	(	PUNCT
cana-1481	102	35	3	3	NUM
cana-1481	102	36	1	1	NUM
cana-1481	102	37	)	)	PUNCT
cana-1481	102	38	)	)	PUNCT
cana-1481	102	39	,	,	PUNCT
cana-1481	102	40	,	,	PUNCT
cana-1481	102	41	,	,	PUNCT
cana-1481	102	42	(	(	PUNCT
cana-1481	102	43	(	(	PUNCT
cana-1481	102	44	)	)	PUNCT
cana-1481	102	45	)	)	PUNCT
cana-1481	102	46	,	,	PUNCT
cana-1481	102	47	,	,	PUNCT
cana-1481	102	48	,	,	PUNCT
cana-1481	102	49	(	(	PUNCT
cana-1481	102	50	(	(	PUNCT
cana-1481	102	51	)	)	PUNCT
cana-1481	102	52	)	)	PUNCT
cana-1481	102	53	,	,	PUNCT
cana-1481	102	54	,	,	PUNCT
cana-1481	102	55	,	,	PUNCT
cana-1481	102	56	(	(	PUNCT
cana-1481	102	57	(	(	PUNCT
cana-1481	102	58	)	)	PUNCT
cana-1481	102	59	)	)	PUNCT
cana-1481	102	60	,	,	PUNCT
cana-1481	102	61	,	,	PUNCT
cana-1481	102	62	,	,	PUNCT
cana-1481	102	63	(	(	PUNCT
cana-1481	102	64	(	(	PUNCT
cana-1481	102	65	)	)	PUNCT
cana-1481	102	66	)	)	PUNCT
cana-1481	102	67	,	,	PUNCT
cana-1481	102	68	,	,	PUNCT
cana-1481	102	69	,	,	PUNCT
cana-1481	102	70	(	(	PUNCT
cana-1481	102	71	(	(	PUNCT
cana-1481	102	72	)	)	PUNCT
cana-1481	102	73	)	)	PUNCT
cana-1481	102	74	,	,	PUNCT
cana-1481	102	75	,	,	PUNCT
cana-1481	102	76	,	,	PUNCT
cana-1481	102	77	(	(	PUNCT
cana-1481	102	78	(	(	PUNCT
cana-1481	102	79	)	)	PUNCT
cana-1481	102	80	)	)	PUNCT
cana-1481	102	81	,	,	PUNCT
cana-1481	102	82	,	,	PUNCT
cana-1481	102	83	,	,	PUNCT
cana-1481	102	84	(	(	PUNCT
cana-1481	102	85	(	(	PUNCT
cana-1481	102	86	max	max	PROPN
cana-1481	102	87	{	{	PUNCT
cana-1481	102	88	)	)	PUNCT
cana-1481	102	89	)	)	PUNCT
cana-1481	102	90	,	,	PUNCT
cana-1481	102	91	,	,	PUNCT
cana-1481	102	92	(	(	PUNCT
cana-1481	102	93	(	(	PUNCT
cana-1481	102	94	)	)	PUNCT
cana-1481	102	95	)	)	PUNCT
cana-1481	102	96	,	,	PUNCT
cana-1481	102	97	,	,	PUNCT
cana-1481	102	98	(	(	PUNCT
cana-1481	102	99	(	(	PUNCT
cana-1481	102	100	221212122	221212122	NUM
cana-1481	102	101	121212222	121212222	NUM
cana-1481	102	102	2212121212	2212121212	NUM
cana-1481	102	103	121212121212	121212121212	NUM
cana-1481	102	104	2221212212122	2221212212122	NUM
cana-1481	102	105	222212	222212	NUM
cana-1481	103	1	pppppp	pppppp	ADV
cana-1481	103	2	pppppp	pppppp	ADV
cana-1481	103	3	pppppp	pppppp	ADV
cana-1481	103	4	pppppp	pppppp	ADV
cana-1481	103	5	ppppppppp	ppppppppp	PROPN
cana-1481	103	6	ppp	ppp	PROPN
cana-1481	103	7	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	103	8	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	103	9	hhgkhhgk	hhgkhhgk	PROPN
cana-1481	103	10	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	103	11	hhgkgkjjhg	hhgkgkjjhg	PROPN
cana-1481	103	12	g	g	PROPN
cana-1481	103	13			VERB
cana-1481	103	14			VERB
cana-1481	103	15			VERB
cana-1481	103	16			VERB
cana-1481	103	17			PROPN
cana-1481	103	18			ADJ
cana-1481	104	1	+	+	ADJ
cana-1481	104	2	+	+	ADJ
cana-1481	104	3	+	+	ADJ
cana-1481	104	4	+	+	ADJ
cana-1481	104	5	+	+	ADJ
cana-1481	104	6	+	+	ADJ
cana-1481	104	7	+	+	ADJ
cana-1481	104	8	+	+	ADJ
cana-1481	104	9	+	+	ADJ
cana-1481	104	10	+	+	ADJ
cana-1481	104	11	+	+	ADJ
cana-1481	104	12	+	+	ADJ
cana-1481	104	13	+	+	ADJ
cana-1481	104	14	+	+	ADJ
cana-1481	104	15	+	+	ADJ
cana-1481	104	16	+	+	ADJ
cana-1481	104	17	+	+	ADJ
cana-1481	104	18	+	+	ADJ
cana-1481	104	19	+	+	ADJ
cana-1481	104	20	+	+	ADJ
cana-1481	104	21	+	+	ADJ
cana-1481	104	22	+	+	ADJ
cana-1481	104	23	+	+	ADJ
cana-1481	104	24			NOUN
cana-1481	104	25	=	=	SYM
cana-1481	104	26	communications	communication	NOUN
cana-1481	104	27	on	on	ADP
cana-1481	104	28	applied	apply	VERB
cana-1481	104	29	nonlinear	nonlinear	ADJ
cana-1481	104	30	analysis	analysis	NOUN
cana-1481	104	31	issn	issn	NOUN
cana-1481	104	32	:	:	PUNCT
cana-1481	104	33	1074	1074	NUM
cana-1481	104	34	-	-	PUNCT
cana-1481	104	35	133x	133x	NUM
cana-1481	104	36	vol	vol	NOUN
cana-1481	104	37	31	31	NUM
cana-1481	104	38	no	no	NOUN
cana-1481	104	39	.	.	PUNCT
cana-1481	105	1	8s	8s	PROPN
cana-1481	105	2	(	(	PUNCT
cana-1481	105	3	2024	2024	NUM
cana-1481	105	4	)	)	PUNCT
cana-1481	105	5	263	263	NUM
cana-1481	105	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	105	7	)	)	PUNCT
cana-1481	105	8	)	)	PUNCT
cana-1481	105	9	,	,	PUNCT
cana-1481	105	10	,	,	PUNCT
cana-1481	105	11	(	(	PUNCT
cana-1481	105	12	(	(	PUNCT
cana-1481	105	13	)	)	PUNCT
cana-1481	105	14	)	)	PUNCT
cana-1481	105	15	}	}	PUNCT
cana-1481	105	16	,	,	PUNCT
cana-1481	105	17	,	,	PUNCT
cana-1481	105	18	(	(	PUNCT
cana-1481	105	19	(	(	PUNCT
cana-1481	105	20	3	3	NUM
cana-1481	105	21	1	1	NUM
cana-1481	105	22	)	)	PUNCT
cana-1481	105	23	)	)	PUNCT
cana-1481	105	24	,	,	PUNCT
cana-1481	105	25	,	,	PUNCT
cana-1481	105	26	,	,	PUNCT
cana-1481	105	27	(	(	PUNCT
cana-1481	105	28	(	(	PUNCT
cana-1481	105	29	max	max	PROPN
cana-1481	105	30	{	{	PUNCT
cana-1481	105	31	)	)	PUNCT
cana-1481	105	32	)	)	PUNCT
cana-1481	105	33	}	}	PUNCT
cana-1481	105	34	,	,	PUNCT
cana-1481	105	35	,	,	PUNCT
cana-1481	105	36	(	(	PUNCT
cana-1481	105	37	(	(	PUNCT
cana-1481	105	38	3	3	NUM
cana-1481	105	39	1	1	NUM
cana-1481	105	40	)	)	PUNCT
cana-1481	105	41	)	)	PUNCT
cana-1481	105	42	,	,	PUNCT
cana-1481	105	43	,	,	PUNCT
cana-1481	105	44	,	,	PUNCT
cana-1481	105	45	(	(	PUNCT
cana-1481	105	46	(	(	PUNCT
cana-1481	105	47	3	3	NUM
cana-1481	105	48	1	1	NUM
cana-1481	105	49	)	)	PUNCT
cana-1481	105	50	)	)	PUNCT
cana-1481	105	51	,	,	PUNCT
cana-1481	105	52	,	,	PUNCT
cana-1481	105	53	,	,	PUNCT
cana-1481	105	54	(	(	PUNCT
cana-1481	105	55	(	(	PUNCT
cana-1481	105	56	3	3	NUM
cana-1481	105	57	1	1	NUM
cana-1481	105	58	)	)	PUNCT
cana-1481	105	59	)	)	PUNCT
cana-1481	105	60	,	,	PUNCT
cana-1481	105	61	,	,	PUNCT
cana-1481	105	62	,	,	PUNCT
cana-1481	105	63	(	(	PUNCT
cana-1481	105	64	(	(	PUNCT
cana-1481	105	65	)	)	PUNCT
cana-1481	105	66	)	)	PUNCT
cana-1481	105	67	,	,	PUNCT
cana-1481	105	68	,	,	PUNCT
cana-1481	105	69	,	,	PUNCT
cana-1481	105	70	(	(	PUNCT
cana-1481	105	71	(	(	PUNCT
cana-1481	105	72	)	)	PUNCT
cana-1481	105	73	)	)	PUNCT
cana-1481	105	74	,	,	PUNCT
cana-1481	105	75	,	,	PUNCT
cana-1481	105	76	,	,	PUNCT
cana-1481	105	77	(	(	PUNCT
cana-1481	105	78	(	(	PUNCT
cana-1481	105	79	)	)	PUNCT
cana-1481	105	80	)	)	PUNCT
cana-1481	105	81	,	,	PUNCT
cana-1481	105	82	,	,	PUNCT
cana-1481	105	83	,	,	PUNCT
cana-1481	105	84	(	(	PUNCT
cana-1481	105	85	(	(	PUNCT
cana-1481	105	86	)	)	PUNCT
cana-1481	105	87	)	)	PUNCT
cana-1481	105	88	,	,	PUNCT
cana-1481	105	89	,	,	PUNCT
cana-1481	105	90	,	,	PUNCT
cana-1481	105	91	(	(	PUNCT
cana-1481	105	92	(	(	PUNCT
cana-1481	105	93	)	)	PUNCT
cana-1481	105	94	)	)	PUNCT
cana-1481	105	95	,	,	PUNCT
cana-1481	105	96	,	,	PUNCT
cana-1481	105	97	,	,	PUNCT
cana-1481	105	98	(	(	PUNCT
cana-1481	105	99	(	(	PUNCT
cana-1481	105	100	)	)	PUNCT
cana-1481	105	101	)	)	PUNCT
cana-1481	105	102	,	,	PUNCT
cana-1481	105	103	,	,	PUNCT
cana-1481	105	104	,	,	PUNCT
cana-1481	105	105	(	(	PUNCT
cana-1481	105	106	(	(	PUNCT
cana-1481	105	107	max	max	X
cana-1481	105	108	{	{	PUNCT
cana-1481	105	109	222212	222212	NUM
cana-1481	105	110	222212222212	222212222212	NUM
cana-1481	105	111	121212222212	121212222212	NUM
cana-1481	105	112	2222212122	2222212122	NUM
cana-1481	105	113	22122212	22122212	NUM
cana-1481	105	114	222212222212	222212222212	NUM
cana-1481	105	115	222222	222222	NUM
cana-1481	106	1	+	+	ADJ
cana-1481	106	2	+	+	ADJ
cana-1481	106	3	+	+	ADJ
cana-1481	106	4	+	+	ADJ
cana-1481	106	5	+	+	ADJ
cana-1481	106	6	+	+	ADJ
cana-1481	106	7	+	+	ADJ
cana-1481	106	8	+	+	ADJ
cana-1481	106	9	+	+	ADJ
cana-1481	106	10	+	+	ADJ
cana-1481	106	11	+	+	ADJ
cana-1481	106	12	+	+	ADJ
cana-1481	106	13	+	+	ADJ
cana-1481	106	14	+	+	ADJ
cana-1481	106	15	+	+	ADJ
cana-1481	106	16	+	+	ADJ
cana-1481	106	17	+	+	ADJ
cana-1481	106	18	+	+	ADJ
cana-1481	106	19	+	+	ADJ
cana-1481	106	20	+	+	ADJ
cana-1481	106	21	+	+	ADJ
cana-1481	106	22	+	+	ADJ
cana-1481	106	23	+	+	ADJ
cana-1481	106	24	+	+	ADJ
cana-1481	106	25	+	+	ADJ
cana-1481	106	26	+	+	ADJ
cana-1481	106	27	+	+	NOUN
cana-1481	106	28			NOUN
cana-1481	106	29			NOUN
cana-1481	106	30			NUM
cana-1481	106	31	ppp	ppp	NOUN
cana-1481	106	32	pppppp	pppppp	NOUN
cana-1481	106	33	pppppp	pppppp	PROPN
cana-1481	106	34	pppppp	pppppp	ADV
cana-1481	106	35	pppppp	pppppp	ADV
cana-1481	106	36	pppppp	pppppp	ADV
cana-1481	106	37	pppppp	pppppp	ADV
cana-1481	106	38	gk	gk	VERB
cana-1481	106	39	jgkgk	jgkgk	NOUN
cana-1481	106	40	gkgk	gkgk	NOUN
cana-1481	106	41	gkgk	gkgk	NOUN
cana-1481	106	42	gkgk	gkgk	NOUN
cana-1481	106	43	gkgk	gkgk	NOUN
cana-1481	106	44	hhgkgk	hhgkgk	NOUN
cana-1481	106	45			PUNCT
cana-1481	106	46			VERB
cana-1481	106	47			NOUN
cana-1481	106	48			VERB
cana-1481	106	49			VERB
cana-1481	106	50			NOUN
cana-1481	106	51			VERB
cana-1481	106	52	the	the	DET
cana-1481	106	53	last	last	ADJ
cana-1481	106	54	inequality	inequality	NOUN
cana-1481	106	55	is	be	AUX
cana-1481	106	56	correct	correct	ADJ
cana-1481	106	57	only	only	ADV
cana-1481	106	58	if	if	SCONJ
cana-1481	106	59	0	0	NUM
cana-1481	106	60	)	)	PUNCT
cana-1481	106	61	)	)	PUNCT
cana-1481	107	1	,	,	PUNCT
cana-1481	107	2	,	,	PUNCT
cana-1481	107	3	(	(	PUNCT
cana-1481	107	4	(	(	PUNCT
cana-1481	107	5	222212	222212	NUM
cana-1481	107	6	=	=	SYM
cana-1481	107	7	+	+	ADJ
cana-1481	107	8	+	+	ADJ
cana-1481	107	9	+	+	ADJ
cana-1481	107	10	pppg	pppg	PROPN
cana-1481	107	11			X
cana-1481	107	12	.	.	PUNCT
cana-1481	108	1	the	the	DET
cana-1481	108	2	properties	property	NOUN
cana-1481	108	3			NOUN
cana-1481	108	4	and	and	CCONJ
cana-1481	108	5	g	g	NOUN
cana-1481	108	6	imply	imply	VERB
cana-1481	108	7	that	that	SCONJ
cana-1481	108	8	2212	2212	NUM
cana-1481	109	1	+	+	ADJ
cana-1481	109	2	+	+	NUM
cana-1481	109	3	=	=	SYM
cana-1481	109	4	pp	pp	ADP
cana-1481	109	5			PROPN
cana-1481	109	6	.	.	PUNCT
cana-1481	110	1	hence	hence	ADV
cana-1481	110	2	ppp	ppp	PROPN
cana-1481	110	3	jh	jh	PROPN
cana-1481	110	4	222	222	NUM
cana-1481	110	5			NOUN
cana-1481	110	6	=	=	NOUN
cana-1481	110	7	=	=	NOUN
cana-1481	110	8	.	.	PUNCT
cana-1481	111	1	thus	thus	ADV
cana-1481	111	2	,	,	PUNCT
cana-1481	111	3	h	h	NOUN
cana-1481	111	4	and	and	CCONJ
cana-1481	111	5	j	j	PROPN
cana-1481	111	6	have	have	VERB
cana-1481	111	7	a	a	DET
cana-1481	111	8	common	common	ADJ
cana-1481	111	9	fixed	fix	VERB
cana-1481	111	10	point	point	NOUN
cana-1481	111	11	.	.	PUNCT
cana-1481	112	1	if	if	SCONJ
cana-1481	112	2	there	there	PRON
cana-1481	112	3	is	be	VERB
cana-1481	112	4	a	a	DET
cana-1481	112	5	natural	natural	ADJ
cana-1481	112	6	number	number	NOUN
cana-1481	112	7	p	p	NOUN
cana-1481	112	8	with	with	ADP
cana-1481	112	9	2212	2212	NUM
cana-1481	112	10	+	+	NOUN
cana-1481	112	11	+	+	NUM
cana-1481	112	12	=	=	SYM
cana-1481	112	13	pp	pp	ADP
cana-1481	112	14			PROPN
cana-1481	112	15	,	,	PUNCT
cana-1481	112	16	then	then	ADV
cana-1481	112	17	1212	1212	NUM
cana-1481	113	1	+	+	NOUN
cana-1481	113	2	+	+	PUNCT
cana-1481	113	3	=	=	SYM
cana-1481	113	4	pp	pp	ADV
cana-1481	113	5	j	j	PROPN
cana-1481	113	6	and	and	CCONJ
cana-1481	113	7	hence	hence	ADV
cana-1481	113	8	j	j	PROPN
cana-1481	113	9	has	have	VERB
cana-1481	113	10	a	a	DET
cana-1481	113	11	fixed	fix	VERB
cana-1481	113	12	point	point	NOUN
cana-1481	113	13	.	.	PUNCT
cana-1481	114	1	based	base	VERB
cana-1481	114	2	on	on	ADP
cana-1481	114	3	premise	premise	NOUN
cana-1481	114	4	(	(	PUNCT
cana-1481	114	5	2	2	NUM
cana-1481	114	6	)	)	PUNCT
cana-1481	114	7	,	,	PUNCT
cana-1481	114	8	we	we	PRON
cana-1481	114	9	observe	observe	VERB
cana-1481	114	10	that	that	PRON
cana-1481	114	11	)	)	PUNCT
cana-1481	114	12	)	)	PUNCT
cana-1481	114	13	,	,	PUNCT
cana-1481	114	14	,	,	PUNCT
cana-1481	114	15	(	(	PUNCT
cana-1481	114	16	(	(	PUNCT
cana-1481	114	17	)	)	PUNCT
cana-1481	114	18	)	)	PUNCT
cana-1481	114	19	}	}	PUNCT
cana-1481	114	20	,	,	PUNCT
cana-1481	114	21	,	,	PUNCT
cana-1481	114	22	(	(	PUNCT
cana-1481	114	23	(	(	PUNCT
cana-1481	114	24	3	3	NUM
cana-1481	114	25	1	1	NUM
cana-1481	114	26	)	)	PUNCT
cana-1481	114	27	)	)	PUNCT
cana-1481	114	28	,	,	PUNCT
cana-1481	114	29	,	,	PUNCT
cana-1481	114	30	,	,	PUNCT
cana-1481	114	31	(	(	PUNCT
cana-1481	114	32	(	(	PUNCT
cana-1481	114	33	max	max	PROPN
cana-1481	114	34	{	{	PUNCT
cana-1481	114	35	)	)	PUNCT
cana-1481	114	36	)	)	PUNCT
cana-1481	114	37	}	}	PUNCT
cana-1481	114	38	,	,	PUNCT
cana-1481	114	39	,	,	PUNCT
cana-1481	114	40	(	(	PUNCT
cana-1481	114	41	(	(	PUNCT
cana-1481	114	42	3	3	NUM
cana-1481	114	43	1	1	NUM
cana-1481	114	44	)	)	PUNCT
cana-1481	114	45	)	)	PUNCT
cana-1481	114	46	,	,	PUNCT
cana-1481	114	47	,	,	PUNCT
cana-1481	114	48	,	,	PUNCT
cana-1481	114	49	(	(	PUNCT
cana-1481	114	50	(	(	PUNCT
cana-1481	114	51	3	3	NUM
cana-1481	114	52	1	1	NUM
cana-1481	114	53	)	)	PUNCT
cana-1481	114	54	)	)	PUNCT
cana-1481	114	55	,	,	PUNCT
cana-1481	114	56	,	,	PUNCT
cana-1481	114	57	,	,	PUNCT
cana-1481	114	58	(	(	PUNCT
cana-1481	114	59	(	(	PUNCT
cana-1481	114	60	3	3	NUM
cana-1481	114	61	1	1	NUM
cana-1481	114	62	)	)	PUNCT
cana-1481	114	63	)	)	PUNCT
cana-1481	114	64	,	,	PUNCT
cana-1481	114	65	,	,	PUNCT
cana-1481	114	66	,	,	PUNCT
cana-1481	114	67	(	(	PUNCT
cana-1481	114	68	(	(	PUNCT
cana-1481	114	69	)	)	PUNCT
cana-1481	114	70	)	)	PUNCT
cana-1481	114	71	,	,	PUNCT
cana-1481	114	72	,	,	PUNCT
cana-1481	114	73	,	,	PUNCT
cana-1481	114	74	(	(	PUNCT
cana-1481	114	75	(	(	PUNCT
cana-1481	114	76	)	)	PUNCT
cana-1481	114	77	)	)	PUNCT
cana-1481	114	78	,	,	PUNCT
cana-1481	114	79	,	,	PUNCT
cana-1481	114	80	,	,	PUNCT
cana-1481	114	81	(	(	PUNCT
cana-1481	114	82	(	(	PUNCT
cana-1481	114	83	)	)	PUNCT
cana-1481	114	84	)	)	PUNCT
cana-1481	114	85	,	,	PUNCT
cana-1481	114	86	,	,	PUNCT
cana-1481	114	87	,	,	PUNCT
cana-1481	114	88	(	(	PUNCT
cana-1481	114	89	(	(	PUNCT
cana-1481	114	90	)	)	PUNCT
cana-1481	114	91	)	)	PUNCT
cana-1481	114	92	,	,	PUNCT
cana-1481	114	93	,	,	PUNCT
cana-1481	114	94	,	,	PUNCT
cana-1481	114	95	(	(	PUNCT
cana-1481	114	96	(	(	PUNCT
cana-1481	114	97	)	)	PUNCT
cana-1481	114	98	)	)	PUNCT
cana-1481	114	99	,	,	PUNCT
cana-1481	114	100	,	,	PUNCT
cana-1481	114	101	,	,	PUNCT
cana-1481	114	102	(	(	PUNCT
cana-1481	114	103	(	(	PUNCT
cana-1481	114	104	)	)	PUNCT
cana-1481	114	105	)	)	PUNCT
cana-1481	114	106	,	,	PUNCT
cana-1481	114	107	,	,	PUNCT
cana-1481	114	108	,	,	PUNCT
cana-1481	114	109	(	(	PUNCT
cana-1481	114	110	(	(	PUNCT
cana-1481	114	111	max	max	PROPN
cana-1481	114	112	{	{	PUNCT
cana-1481	114	113	)	)	PUNCT
cana-1481	114	114	)	)	PUNCT
cana-1481	114	115	,	,	PUNCT
cana-1481	114	116	,	,	PUNCT
cana-1481	114	117	(	(	PUNCT
cana-1481	114	118	(	(	PUNCT
cana-1481	114	119	)	)	PUNCT
cana-1481	114	120	)	)	PUNCT
cana-1481	114	121	,	,	PUNCT
cana-1481	114	122	,	,	PUNCT
cana-1481	114	123	(	(	PUNCT
cana-1481	114	124	(	(	PUNCT
cana-1481	114	125	323222	323222	NUM
cana-1481	114	126	323222323222	323222323222	NUM
cana-1481	114	127	121222222222	121222222222	NUM
cana-1481	114	128	222212121222	222212121222	NUM
cana-1481	114	129	121222222222	121222222222	NUM
cana-1481	114	130	121222121212	121222121212	NUM
cana-1481	114	131	121222222212222212	121222222212222212	NUM
cana-1481	114	132	323222	323222	NUM
cana-1481	114	133	+	+	ADJ
cana-1481	114	134	+	+	ADJ
cana-1481	114	135	+	+	ADJ
cana-1481	114	136	+	+	ADJ
cana-1481	114	137	+	+	ADJ
cana-1481	114	138	+	+	ADJ
cana-1481	114	139	+	+	ADJ
cana-1481	114	140	+	+	ADJ
cana-1481	114	141	+	+	ADJ
cana-1481	114	142	+	+	ADJ
cana-1481	114	143	+	+	ADJ
cana-1481	114	144	+	+	ADJ
cana-1481	114	145	+	+	ADJ
cana-1481	114	146	+	+	ADJ
cana-1481	114	147	+	+	ADJ
cana-1481	114	148	+	+	ADJ
cana-1481	114	149	+	+	ADJ
cana-1481	114	150	+	+	ADJ
cana-1481	114	151	+	+	ADJ
cana-1481	114	152	+	+	ADJ
cana-1481	114	153	+	+	ADJ
cana-1481	114	154	+	+	ADJ
cana-1481	114	155	+	+	ADJ
cana-1481	114	156	+	+	ADJ
cana-1481	114	157	+	+	ADJ
cana-1481	114	158	+	+	ADJ
cana-1481	114	159	+	+	ADJ
cana-1481	114	160	+	+	ADJ
cana-1481	114	161	+	+	ADJ
cana-1481	114	162	+	+	ADJ
cana-1481	114	163	+	+	ADJ
cana-1481	114	164	+	+	ADJ
cana-1481	114	165	+	+	ADJ
cana-1481	114	166	+	+	ADJ
cana-1481	114	167	+	+	ADJ
cana-1481	114	168	+	+	ADJ
cana-1481	114	169	+	+	ADJ
cana-1481	114	170	+	+	ADJ
cana-1481	114	171	+	+	ADJ
cana-1481	114	172	+	+	ADJ
cana-1481	114	173	+	+	ADJ
cana-1481	114	174	+	+	ADJ
cana-1481	114	175	+	+	ADJ
cana-1481	114	176	+	+	ADJ
cana-1481	114	177	+	+	NOUN
cana-1481	114	178			NOUN
cana-1481	114	179			NOUN
cana-1481	114	180			NOUN
cana-1481	114	181	=	=	SYM
cana-1481	114	182	ppp	ppp	NOUN
cana-1481	114	183	pppppp	pppppp	NOUN
cana-1481	114	184	pppppp	pppppp	PROPN
cana-1481	114	185	pppppp	pppppp	ADV
cana-1481	114	186	pppppp	pppppp	ADV
cana-1481	114	187	pppppp	pppppp	ADV
cana-1481	114	188	ppppppppp	ppppppppp	VERB
cana-1481	114	189	ppp	ppp	PROPN
cana-1481	114	190	gk	gk	PROPN
cana-1481	114	191	jgkgk	jgkgk	PROPN
cana-1481	114	192	jjgkhhgk	jjgkhhgk	PROPN
cana-1481	114	193	hhgkjjgk	hhgkjjgk	PROPN
cana-1481	114	194	hhgkhhgk	hhgkhhgk	PROPN
cana-1481	114	195	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	114	196	hhgkgkhhjg	hhgkgkhhjg	PROPN
cana-1481	114	197	g	g	PROPN
cana-1481	114	198			PUNCT
cana-1481	114	199			VERB
cana-1481	114	200			NOUN
cana-1481	114	201			NOUN
cana-1481	114	202			VERB
cana-1481	114	203			VERB
cana-1481	114	204			PROPN
cana-1481	114	205			PUNCT
cana-1481	114	206	the	the	DET
cana-1481	114	207	last	last	ADJ
cana-1481	114	208	inequality	inequality	NOUN
cana-1481	114	209	holds	hold	VERB
cana-1481	114	210	only	only	ADV
cana-1481	114	211	if	if	SCONJ
cana-1481	114	212	0	0	NUM
cana-1481	114	213	)	)	PUNCT
cana-1481	114	214	)	)	PUNCT
cana-1481	114	215	,	,	PUNCT
cana-1481	114	216	,	,	PUNCT
cana-1481	114	217	(	(	PUNCT
cana-1481	114	218	(	(	PUNCT
cana-1481	114	219	323222	323222	NUM
cana-1481	114	220	=	=	SYM
cana-1481	114	221	+	+	ADJ
cana-1481	114	222	+	+	ADJ
cana-1481	114	223	+	+	ADJ
cana-1481	114	224	pppg	pppg	PROPN
cana-1481	114	225			X
cana-1481	114	226	.	.	PUNCT
cana-1481	115	1	the	the	DET
cana-1481	115	2	properties	property	NOUN
cana-1481	115	3	of	of	ADP
cana-1481	115	4			NOUN
cana-1481	115	5	and	and	CCONJ
cana-1481	115	6	g	g	NOUN
cana-1481	115	7	imply	imply	VERB
cana-1481	115	8	that	that	SCONJ
cana-1481	115	9	3222	3222	NUM
cana-1481	116	1	+	+	PROPN
cana-1481	116	2	+	+	X
cana-1481	116	3	=	=	SYM
cana-1481	116	4	pp	pp	ADP
cana-1481	116	5			PROPN
cana-1481	116	6	.	.	PUNCT
cana-1481	117	1	hence	hence	ADV
cana-1481	117	2	121212	121212	NUM
cana-1481	117	3	+	+	ADJ
cana-1481	117	4	+	+	ADJ
cana-1481	117	5	+	+	ADJ
cana-1481	117	6	=	=	ADJ
cana-1481	117	7	=	=	SYM
cana-1481	117	8	ppp	ppp	PROPN
cana-1481	117	9	jh	jh	PROPN
cana-1481	117	10			PROPN
cana-1481	117	11	.	.	PUNCT
cana-1481	118	1	thus	thus	ADV
cana-1481	118	2	we	we	PRON
cana-1481	118	3	conclude	conclude	VERB
cana-1481	118	4	that	that	SCONJ
cana-1481	118	5	12	12	NUM
cana-1481	118	6	+	+	NOUN
cana-1481	118	7	p	p	NOUN
cana-1481	118	8	is	be	AUX
cana-1481	118	9	a	a	DET
cana-1481	118	10	common	common	ADJ
cana-1481	118	11	fixed	fix	VERB
cana-1481	118	12	point	point	NOUN
cana-1481	118	13	of	of	ADP
cana-1481	118	14	h	h	NOUN
cana-1481	118	15	and	and	CCONJ
cana-1481	118	16	j	j	PROPN
cana-1481	118	17	.	.	PUNCT
cana-1481	119	1	as	as	ADP
cana-1481	119	2	a	a	DET
cana-1481	119	3	result	result	NOUN
cana-1481	119	4	,	,	PUNCT
cana-1481	119	5	we	we	PRON
cana-1481	119	6	determine	determine	VERB
cana-1481	119	7	that	that	PRON
cana-1481	119	8	h	h	PROPN
cana-1481	119	9	and	and	CCONJ
cana-1481	119	10	j	j	PROPN
cana-1481	119	11	have	have	VERB
cana-1481	119	12	a	a	DET
cana-1481	119	13	single	single	ADJ
cana-1481	119	14	fixed	fix	VERB
cana-1481	119	15	point	point	NOUN
cana-1481	120	1	i.e	i.e	PRON
cana-1481	120	2	12	12	NUM
cana-1481	120	3	+	+	NOUN
cana-1481	120	4	p	p	PROPN
cana-1481	120	5	.	.	PUNCT
cana-1481	121	1	now	now	ADV
cana-1481	121	2	,	,	PUNCT
cana-1481	121	3	presume	presume	VERB
cana-1481	121	4	that	that	PRON
cana-1481	121	5	's	be	AUX
cana-1481	121	6	the	the	DET
cana-1481	121	7	case	case	NOUN
cana-1481	121	8	niii	niii	NOUN
cana-1481	121	9			X
cana-1481	121	10	+1	+1	NOUN
cana-1481	121	11	.	.	PUNCT
cana-1481	122	1	for	for	ADP
cana-1481	122	2	}	}	PUNCT
cana-1481	122	3	0{ni	0{ni	NUM
cana-1481	122	4	,	,	PUNCT
cana-1481	122	5	we	we	PRON
cana-1481	122	6	get	get	VERB
cana-1481	122	7	communications	communication	NOUN
cana-1481	122	8	on	on	ADP
cana-1481	122	9	applied	apply	VERB
cana-1481	122	10	nonlinear	nonlinear	ADJ
cana-1481	122	11	analysis	analysis	NOUN
cana-1481	122	12	issn	issn	NOUN
cana-1481	122	13	:	:	PUNCT
cana-1481	122	14	1074	1074	NUM
cana-1481	122	15	-	-	PUNCT
cana-1481	122	16	133x	133x	NUM
cana-1481	122	17	vol	vol	NOUN
cana-1481	122	18	31	31	NUM
cana-1481	122	19	no	no	NOUN
cana-1481	122	20	.	.	PUNCT
cana-1481	123	1	8s	8s	PROPN
cana-1481	123	2	(	(	PUNCT
cana-1481	123	3	2024	2024	NUM
cana-1481	123	4	)	)	PUNCT
cana-1481	123	5	264	264	NUM
cana-1481	123	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	123	7	)	)	PUNCT
cana-1481	123	8	)	)	PUNCT
cana-1481	123	9	}	}	PUNCT
cana-1481	123	10	,	,	PUNCT
cana-1481	123	11	,	,	PUNCT
cana-1481	123	12	(	(	PUNCT
cana-1481	123	13	(	(	PUNCT
cana-1481	123	14	3	3	NUM
cana-1481	123	15	1	1	NUM
cana-1481	123	16	)	)	PUNCT
cana-1481	123	17	)	)	PUNCT
cana-1481	123	18	,	,	PUNCT
cana-1481	123	19	,	,	PUNCT
cana-1481	123	20	,	,	PUNCT
cana-1481	123	21	(	(	PUNCT
cana-1481	123	22	(	(	PUNCT
cana-1481	123	23	3	3	NUM
cana-1481	123	24	1	1	NUM
cana-1481	123	25	)	)	PUNCT
cana-1481	123	26	)	)	PUNCT
cana-1481	123	27	,	,	PUNCT
cana-1481	123	28	,	,	PUNCT
cana-1481	123	29	,	,	PUNCT
cana-1481	123	30	(	(	PUNCT
cana-1481	123	31	(	(	PUNCT
cana-1481	123	32	3	3	NUM
cana-1481	123	33	1	1	NUM
cana-1481	123	34	)	)	PUNCT
cana-1481	123	35	)	)	PUNCT
cana-1481	123	36	,	,	PUNCT
cana-1481	123	37	,	,	PUNCT
cana-1481	123	38	,	,	PUNCT
cana-1481	123	39	(	(	PUNCT
cana-1481	123	40	(	(	PUNCT
cana-1481	123	41	)	)	PUNCT
cana-1481	123	42	)	)	PUNCT
cana-1481	123	43	,	,	PUNCT
cana-1481	123	44	,	,	PUNCT
cana-1481	123	45	,	,	PUNCT
cana-1481	123	46	(	(	PUNCT
cana-1481	123	47	(	(	PUNCT
cana-1481	123	48	)	)	PUNCT
cana-1481	123	49	)	)	PUNCT
cana-1481	123	50	,	,	PUNCT
cana-1481	123	51	,	,	PUNCT
cana-1481	123	52	,	,	PUNCT
cana-1481	123	53	(	(	PUNCT
cana-1481	123	54	(	(	PUNCT
cana-1481	123	55	)	)	PUNCT
cana-1481	123	56	)	)	PUNCT
cana-1481	123	57	,	,	PUNCT
cana-1481	123	58	,	,	PUNCT
cana-1481	123	59	,	,	PUNCT
cana-1481	123	60	(	(	PUNCT
cana-1481	123	61	(	(	PUNCT
cana-1481	123	62	)	)	PUNCT
cana-1481	123	63	)	)	PUNCT
cana-1481	123	64	,	,	PUNCT
cana-1481	123	65	,	,	PUNCT
cana-1481	123	66	,	,	PUNCT
cana-1481	123	67	(	(	PUNCT
cana-1481	123	68	(	(	PUNCT
cana-1481	123	69	)	)	PUNCT
cana-1481	123	70	)	)	PUNCT
cana-1481	123	71	,	,	PUNCT
cana-1481	123	72	,	,	PUNCT
cana-1481	123	73	,	,	PUNCT
cana-1481	123	74	(	(	PUNCT
cana-1481	123	75	(	(	PUNCT
cana-1481	123	76	)	)	PUNCT
cana-1481	123	77	)	)	PUNCT
cana-1481	123	78	,	,	PUNCT
cana-1481	123	79	,	,	PUNCT
cana-1481	123	80	,	,	PUNCT
cana-1481	123	81	(	(	PUNCT
cana-1481	123	82	(	(	PUNCT
cana-1481	123	83	max	max	PROPN
cana-1481	123	84	{	{	PUNCT
cana-1481	123	85	)	)	PUNCT
cana-1481	123	86	)	)	PUNCT
cana-1481	123	87	,	,	PUNCT
cana-1481	123	88	,	,	PUNCT
cana-1481	123	89	(	(	PUNCT
cana-1481	123	90	(	(	PUNCT
cana-1481	123	91	)	)	PUNCT
cana-1481	123	92	)	)	PUNCT
cana-1481	123	93	,	,	PUNCT
cana-1481	123	94	,	,	PUNCT
cana-1481	123	95	(	(	PUNCT
cana-1481	123	96	(	(	PUNCT
cana-1481	123	97	221212122	221212122	NUM
cana-1481	123	98	121212222	121212222	NUM
cana-1481	123	99	2212121212	2212121212	NUM
cana-1481	123	100	121212121212	121212121212	NUM
cana-1481	123	101	2221212212122	2221212212122	NUM
cana-1481	123	102	222212	222212	NUM
cana-1481	123	103	iiiiii	iiiiii	PROPN
cana-1481	123	104	iiiiii	iiiiii	PROPN
cana-1481	123	105	iiiiii	iiiiii	PROPN
cana-1481	123	106	iiiiii	iiiiii	PROPN
cana-1481	123	107	iiiiiiiii	iiiiiiiii	PROPN
cana-1481	123	108	iii	iii	PROPN
cana-1481	123	109	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	123	110	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	123	111	hhgkhhgk	hhgkhhgk	PROPN
cana-1481	123	112	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	123	113	hhgkgkjjhg	hhgkgkjjhg	PROPN
cana-1481	123	114	g	g	PROPN
cana-1481	123	115			VERB
cana-1481	123	116			VERB
cana-1481	123	117			VERB
cana-1481	123	118			VERB
cana-1481	123	119			PROPN
cana-1481	123	120			ADJ
cana-1481	123	121	+	+	ADJ
cana-1481	123	122	+	+	ADJ
cana-1481	123	123	+	+	ADJ
cana-1481	123	124	+	+	ADJ
cana-1481	123	125	+	+	ADJ
cana-1481	123	126	+	+	ADJ
cana-1481	123	127	+	+	ADJ
cana-1481	123	128	+	+	ADJ
cana-1481	123	129	+	+	ADJ
cana-1481	123	130	+	+	ADJ
cana-1481	123	131	+	+	ADJ
cana-1481	123	132	+	+	ADJ
cana-1481	123	133	+	+	ADJ
cana-1481	123	134	+	+	ADJ
cana-1481	123	135	+	+	ADJ
cana-1481	123	136	+	+	ADJ
cana-1481	123	137	+	+	ADJ
cana-1481	123	138	+	+	ADJ
cana-1481	123	139	+	+	ADJ
cana-1481	123	140	+	+	ADJ
cana-1481	123	141	+	+	ADJ
cana-1481	123	142	+	+	ADJ
cana-1481	123	143	+	+	ADJ
cana-1481	123	144			NOUN
cana-1481	123	145	=	=	SYM
cana-1481	123	146	)	)	PUNCT
cana-1481	123	147	)	)	PUNCT
cana-1481	123	148	}	}	PUNCT
cana-1481	123	149	,	,	PUNCT
cana-1481	123	150	,	,	PUNCT
cana-1481	123	151	(	(	PUNCT
cana-1481	123	152	(	(	PUNCT
cana-1481	123	153	3	3	NUM
cana-1481	123	154	1	1	NUM
cana-1481	123	155	)	)	PUNCT
cana-1481	123	156	)	)	PUNCT
cana-1481	123	157	,	,	PUNCT
cana-1481	123	158	,	,	PUNCT
cana-1481	123	159	,	,	PUNCT
cana-1481	123	160	(	(	PUNCT
cana-1481	123	161	(	(	PUNCT
cana-1481	123	162	3	3	NUM
cana-1481	123	163	1	1	NUM
cana-1481	123	164	)	)	PUNCT
cana-1481	123	165	)	)	PUNCT
cana-1481	123	166	,	,	PUNCT
cana-1481	123	167	,	,	PUNCT
cana-1481	123	168	,	,	PUNCT
cana-1481	123	169	(	(	PUNCT
cana-1481	123	170	(	(	PUNCT
cana-1481	123	171	3	3	NUM
cana-1481	123	172	1	1	NUM
cana-1481	123	173	)	)	PUNCT
cana-1481	123	174	)	)	PUNCT
cana-1481	123	175	,	,	PUNCT
cana-1481	123	176	,	,	PUNCT
cana-1481	123	177	,	,	PUNCT
cana-1481	123	178	(	(	PUNCT
cana-1481	123	179	(	(	PUNCT
cana-1481	123	180	)	)	PUNCT
cana-1481	123	181	)	)	PUNCT
cana-1481	123	182	,	,	PUNCT
cana-1481	123	183	,	,	PUNCT
cana-1481	123	184	,	,	PUNCT
cana-1481	123	185	(	(	PUNCT
cana-1481	123	186	(	(	PUNCT
cana-1481	123	187	)	)	PUNCT
cana-1481	123	188	)	)	PUNCT
cana-1481	123	189	,	,	PUNCT
cana-1481	123	190	,	,	PUNCT
cana-1481	123	191	,	,	PUNCT
cana-1481	123	192	(	(	PUNCT
cana-1481	123	193	(	(	PUNCT
cana-1481	123	194	)	)	PUNCT
cana-1481	123	195	)	)	PUNCT
cana-1481	123	196	,	,	PUNCT
cana-1481	123	197	,	,	PUNCT
cana-1481	123	198	,	,	PUNCT
cana-1481	123	199	(	(	PUNCT
cana-1481	123	200	(	(	PUNCT
cana-1481	123	201	)	)	PUNCT
cana-1481	123	202	)	)	PUNCT
cana-1481	123	203	,	,	PUNCT
cana-1481	123	204	,	,	PUNCT
cana-1481	123	205	,	,	PUNCT
cana-1481	123	206	(	(	PUNCT
cana-1481	123	207	(	(	PUNCT
cana-1481	123	208	)	)	PUNCT
cana-1481	123	209	)	)	PUNCT
cana-1481	123	210	,	,	PUNCT
cana-1481	123	211	,	,	PUNCT
cana-1481	123	212	,	,	PUNCT
cana-1481	123	213	(	(	PUNCT
cana-1481	123	214	(	(	PUNCT
cana-1481	123	215	)	)	PUNCT
cana-1481	123	216	)	)	PUNCT
cana-1481	123	217	,	,	PUNCT
cana-1481	123	218	,	,	PUNCT
cana-1481	123	219	,	,	PUNCT
cana-1481	123	220	(	(	PUNCT
cana-1481	123	221	(	(	PUNCT
cana-1481	123	222	max	max	PROPN
cana-1481	123	223	{	{	PUNCT
cana-1481	123	224	121212222212	121212222212	NUM
cana-1481	123	225	2222212122	2222212122	NUM
cana-1481	123	226	121212222212	121212222212	NUM
cana-1481	123	227	222212222212	222212222212	NUM
cana-1481	123	228	1212212122	1212212122	NUM
cana-1481	124	1	+	+	ADJ
cana-1481	124	2	+	+	ADJ
cana-1481	124	3	+	+	ADJ
cana-1481	124	4	+	+	ADJ
cana-1481	124	5	+	+	ADJ
cana-1481	124	6	+	+	ADJ
cana-1481	124	7	+	+	ADJ
cana-1481	124	8	+	+	ADJ
cana-1481	124	9	+	+	ADJ
cana-1481	124	10	+	+	ADJ
cana-1481	124	11	+	+	ADJ
cana-1481	124	12	+	+	ADJ
cana-1481	124	13	+	+	ADJ
cana-1481	124	14	+	+	ADJ
cana-1481	124	15	+	+	ADJ
cana-1481	124	16	+	+	ADJ
cana-1481	124	17	+	+	ADJ
cana-1481	124	18	+	+	ADJ
cana-1481	124	19	+	+	ADJ
cana-1481	124	20	+	+	ADJ
cana-1481	124	21	+	+	ADJ
cana-1481	124	22	+	+	ADJ
cana-1481	124	23	+	+	ADJ
cana-1481	124	24	+	+	ADJ
cana-1481	124	25	+	+	ADJ
cana-1481	124	26	+	+	NOUN
cana-1481	124	27			NOUN
cana-1481	124	28	iiiiii	iiiiii	PROPN
cana-1481	124	29	iiiiii	iiiiii	PROPN
cana-1481	124	30	iiiiii	iiiiii	PROPN
cana-1481	124	31	iiiiii	iiiiii	PROPN
cana-1481	124	32	iiiiii	iiiiii	PROPN
cana-1481	124	33	gkgk	gkgk	NOUN
cana-1481	124	34	gkgk	gkgk	NOUN
cana-1481	124	35	gkgk	gkgk	NOUN
cana-1481	124	36	gkgk	gkgk	NOUN
cana-1481	124	37	gkgk	gkgk	NOUN
cana-1481	124	38			VERB
cana-1481	124	39			NOUN
cana-1481	124	40			VERB
cana-1481	124	41			VERB
cana-1481	124	42			PROPN
cana-1481	124	43	)	)	PUNCT
cana-1481	124	44	)	)	PUNCT
cana-1481	125	1	}	}	PUNCT
cana-1481	125	2	,	,	PUNCT
cana-1481	125	3	,	,	PUNCT
cana-1481	125	4	(	(	PUNCT
cana-1481	125	5	(	(	PUNCT
cana-1481	125	6	)	)	PUNCT
cana-1481	125	7	)	)	PUNCT
cana-1481	125	8	,	,	PUNCT
cana-1481	125	9	,	,	PUNCT
cana-1481	125	10	,	,	PUNCT
cana-1481	125	11	(	(	PUNCT
cana-1481	125	12	(	(	PUNCT
cana-1481	125	13	max	max	X
cana-1481	125	14	{	{	PUNCT
cana-1481	125	15	}	}	PUNCT
cana-1481	125	16	)	)	PUNCT
cana-1481	125	17	)	)	PUNCT
cana-1481	125	18	,	,	PUNCT
cana-1481	125	19	,	,	PUNCT
cana-1481	125	20	,	,	PUNCT
cana-1481	125	21	(	(	PUNCT
cana-1481	125	22	(	(	PUNCT
cana-1481	125	23	3	3	NUM
cana-1481	125	24	1	1	NUM
cana-1481	125	25	)	)	PUNCT
cana-1481	125	26	)	)	PUNCT
cana-1481	125	27	,	,	PUNCT
cana-1481	125	28	,	,	PUNCT
cana-1481	125	29	,	,	PUNCT
cana-1481	125	30	(	(	PUNCT
cana-1481	125	31	(	(	PUNCT
cana-1481	125	32	3	3	NUM
cana-1481	125	33	1	1	NUM
cana-1481	125	34	)	)	PUNCT
cana-1481	125	35	)	)	PUNCT
cana-1481	125	36	,	,	PUNCT
cana-1481	125	37	,	,	PUNCT
cana-1481	125	38	,	,	PUNCT
cana-1481	125	39	(	(	PUNCT
cana-1481	125	40	(	(	PUNCT
cana-1481	125	41	)	)	PUNCT
cana-1481	125	42	)	)	PUNCT
cana-1481	125	43	,	,	PUNCT
cana-1481	125	44	,	,	PUNCT
cana-1481	125	45	,	,	PUNCT
cana-1481	125	46	(	(	PUNCT
cana-1481	125	47	(	(	PUNCT
cana-1481	125	48	max	max	X
cana-1481	125	49	{	{	PUNCT
cana-1481	125	50	22221212122	22221212122	NUM
cana-1481	125	51	22222222212	22222222212	NUM
cana-1481	125	52	22221212122	22221212122	NUM
cana-1481	126	1	+	+	ADJ
cana-1481	126	2	+	+	ADJ
cana-1481	126	3	+	+	ADJ
cana-1481	126	4	+	+	ADJ
cana-1481	126	5	+	+	ADJ
cana-1481	126	6	+	+	ADJ
cana-1481	126	7	+	+	ADJ
cana-1481	126	8	+	+	ADJ
cana-1481	126	9	+	+	ADJ
cana-1481	126	10	+	+	ADJ
cana-1481	126	11	+	+	ADJ
cana-1481	126	12	+	+	ADJ
cana-1481	126	13	+	+	ADJ
cana-1481	126	14	+	+	ADJ
cana-1481	126	15	+	+	NOUN
cana-1481	126	16			NOUN
cana-1481	126	17			NUM
cana-1481	126	18	iiiiii	iiiiii	PROPN
cana-1481	126	19	iiiiii	iiiiii	PROPN
cana-1481	126	20	iiiiii	iiiiii	PROPN
cana-1481	126	21	gkgk	gkgk	NOUN
cana-1481	126	22	gkjgk	gkjgk	NOUN
cana-1481	126	23	gkgk	gkgk	NOUN
cana-1481	126	24			VERB
cana-1481	126	25			NOUN
cana-1481	126	26			VERB
cana-1481	126	27	thus	thus	ADV
cana-1481	126	28	if	if	SCONJ
cana-1481	126	29	)	)	PUNCT
cana-1481	126	30	)	)	PUNCT
cana-1481	126	31	,	,	PUNCT
cana-1481	126	32	,	,	PUNCT
cana-1481	126	33	(	(	PUNCT
cana-1481	126	34	(	(	PUNCT
cana-1481	126	35	)	)	PUNCT
cana-1481	126	36	)	)	PUNCT
cana-1481	126	37	}	}	PUNCT
cana-1481	126	38	,	,	PUNCT
cana-1481	126	39	,	,	PUNCT
cana-1481	126	40	(	(	PUNCT
cana-1481	126	41	(	(	PUNCT
cana-1481	126	42	)	)	PUNCT
cana-1481	126	43	)	)	PUNCT
cana-1481	126	44	,	,	PUNCT
cana-1481	126	45	,	,	PUNCT
cana-1481	126	46	,	,	PUNCT
cana-1481	126	47	(	(	PUNCT
cana-1481	126	48	(	(	PUNCT
cana-1481	126	49	max	max	X
cana-1481	126	50	{	{	PUNCT
cana-1481	126	51	22221222221212122	22221222221212122	NUM
cana-1481	126	52	+	+	ADJ
cana-1481	126	53	+	+	ADJ
cana-1481	126	54	+	+	ADJ
cana-1481	126	55	+	+	ADJ
cana-1481	126	56	+	+	ADJ
cana-1481	126	57	+	+	ADJ
cana-1481	126	58	+	+	ADJ
cana-1481	126	59	+	+	ADJ
cana-1481	126	60	=	=	VERB
cana-1481	126	61	iiiiiiiii	iiiiiiiii	NOUN
cana-1481	126	62	gkgkgk	gkgkgk	NOUN
cana-1481	126	63			PROPN
cana-1481	126	64	then	then	ADV
cana-1481	126	65	)	)	PUNCT
cana-1481	126	66	)	)	PUNCT
cana-1481	126	67	,	,	PUNCT
cana-1481	126	68	,	,	PUNCT
cana-1481	126	69	(	(	PUNCT
cana-1481	126	70	(	(	PUNCT
cana-1481	126	71	)	)	PUNCT
cana-1481	126	72	)	)	PUNCT
cana-1481	126	73	,	,	PUNCT
cana-1481	126	74	,	,	PUNCT
cana-1481	126	75	(	(	PUNCT
cana-1481	126	76	(	(	PUNCT
cana-1481	126	77	222212222212	222212222212	NUM
cana-1481	126	78	+	+	ADJ
cana-1481	126	79	+	+	ADJ
cana-1481	126	80	+	+	ADJ
cana-1481	126	81	+	+	ADJ
cana-1481	126	82	+	+	ADJ
cana-1481	126	83	+	+	NOUN
cana-1481	126	84			NUM
cana-1481	126	85	iiiiii	iiiiii	NOUN
cana-1481	126	86	gkg	gkg	PROPN
cana-1481	126	87			VERB
cana-1481	126	88	.	.	PUNCT
cana-1481	127	1	since	since	SCONJ
cana-1481	127	2	1k	1k	NUM
cana-1481	127	3	,	,	PUNCT
cana-1481	127	4	condition	condition	NOUN
cana-1481	127	5	(	(	PUNCT
cana-1481	127	6	1	1	NUM
cana-1481	127	7	)	)	PUNCT
cana-1481	127	8	on	on	ADP
cana-1481	127	9			PROPN
cana-1481	127	10	implies	imply	VERB
cana-1481	127	11	that	that	SCONJ
cana-1481	127	12	2212	2212	NUM
cana-1481	128	1	+	+	ADJ
cana-1481	128	2	+	+	X
cana-1481	128	3	=	=	SYM
cana-1481	128	4	ii	ii	PROPN
cana-1481	128	5			PROPN
cana-1481	128	6	,	,	PUNCT
cana-1481	128	7	a	a	DET
cana-1481	128	8	contradiction	contradiction	NOUN
cana-1481	128	9	,	,	PUNCT
cana-1481	128	10	therefore	therefore	ADV
cana-1481	128	11	)	)	PUNCT
cana-1481	128	12	)	)	PUNCT
cana-1481	128	13	,	,	PUNCT
cana-1481	128	14	,	,	PUNCT
cana-1481	128	15	(	(	PUNCT
cana-1481	128	16	(	(	PUNCT
cana-1481	128	17	)	)	PUNCT
cana-1481	128	18	)	)	PUNCT
cana-1481	128	19	}	}	PUNCT
cana-1481	128	20	,	,	PUNCT
cana-1481	128	21	,	,	PUNCT
cana-1481	128	22	(	(	PUNCT
cana-1481	128	23	(	(	PUNCT
cana-1481	128	24	)	)	PUNCT
cana-1481	128	25	)	)	PUNCT
cana-1481	128	26	,	,	PUNCT
cana-1481	128	27	,	,	PUNCT
cana-1481	128	28	,	,	PUNCT
cana-1481	128	29	(	(	PUNCT
cana-1481	128	30	(	(	PUNCT
cana-1481	128	31	max	max	X
cana-1481	128	32	{	{	PUNCT
cana-1481	128	33	1212222221212122	1212222221212122	NUM
cana-1481	128	34	+	+	ADJ
cana-1481	128	35	+	+	ADJ
cana-1481	128	36	+	+	ADJ
cana-1481	128	37	+	+	ADJ
cana-1481	128	38	+	+	ADJ
cana-1481	128	39	+	+	ADJ
cana-1481	128	40	+	+	ADJ
cana-1481	128	41	=	=	VERB
cana-1481	128	42	iiiiiiiii	iiiiiiiii	NOUN
cana-1481	128	43	gkgkgk	gkgkgk	NOUN
cana-1481	128	44			PROPN
cana-1481	128	45	hence	hence	ADV
cana-1481	128	46	)	)	PUNCT
cana-1481	128	47	)	)	PUNCT
cana-1481	128	48	,	,	PUNCT
cana-1481	128	49	,	,	PUNCT
cana-1481	128	50	(	(	PUNCT
cana-1481	128	51	(	(	PUNCT
cana-1481	128	52	)	)	PUNCT
cana-1481	128	53	)	)	PUNCT
cana-1481	128	54	,	,	PUNCT
cana-1481	128	55	,	,	PUNCT
cana-1481	128	56	(	(	PUNCT
cana-1481	128	57	(	(	PUNCT
cana-1481	128	58	12122222212	12122222212	NUM
cana-1481	128	59	+	+	ADJ
cana-1481	128	60	+	+	ADJ
cana-1481	128	61	+	+	ADJ
cana-1481	128	62	+	+	ADJ
cana-1481	128	63	+	+	NOUN
cana-1481	128	64			NUM
cana-1481	128	65	iiiiii	iiiiii	NOUN
cana-1481	128	66	gkg	gkg	PROPN
cana-1481	128	67			VERB
cana-1481	128	68	…	…	PUNCT
cana-1481	128	69	…	…	SYM
cana-1481	128	70	……	……	NOUN
cana-1481	128	71	..	..	PUNCT
cana-1481	128	72	(	(	PUNCT
cana-1481	128	73	3	3	X
cana-1481	128	74	)	)	PUNCT
cana-1481	128	75	using	use	VERB
cana-1481	128	76	arguments	argument	NOUN
cana-1481	128	77	similar	similar	ADJ
cana-1481	128	78	to	to	ADP
cana-1481	128	79	above	above	ADV
cana-1481	128	80	,	,	PUNCT
cana-1481	128	81	we	we	PRON
cana-1481	128	82	may	may	AUX
cana-1481	128	83	show	show	VERB
cana-1481	128	84	that	that	PRON
cana-1481	128	85	)	)	PUNCT
cana-1481	128	86	)	)	PUNCT
cana-1481	128	87	,	,	PUNCT
cana-1481	128	88	,	,	PUNCT
cana-1481	128	89	(	(	PUNCT
cana-1481	128	90	(	(	PUNCT
cana-1481	128	91	)	)	PUNCT
cana-1481	128	92	)	)	PUNCT
cana-1481	128	93	,	,	PUNCT
cana-1481	128	94	,	,	PUNCT
cana-1481	128	95	(	(	PUNCT
cana-1481	128	96	(	(	PUNCT
cana-1481	128	97	221212122	221212122	NUM
cana-1481	128	98	iiiiii	iiiiii	PROPN
cana-1481	128	99	gkg	gkg	PROPN
cana-1481	128	100			VERB
cana-1481	128	101	−++	−++	ADP
cana-1481	128	102			NOUN
cana-1481	128	103	…	…	PUNCT
cana-1481	128	104	…	…	SYM
cana-1481	128	105	……	……	NOUN
cana-1481	128	106	..	..	PUNCT
cana-1481	128	107	(	(	PUNCT
cana-1481	128	108	4	4	X
cana-1481	128	109	)	)	PUNCT
cana-1481	128	110	combining	combine	VERB
cana-1481	128	111	eqn	eqn	NOUN
cana-1481	128	112	(	(	PUNCT
cana-1481	128	113	3	3	NUM
cana-1481	128	114	)	)	PUNCT
cana-1481	128	115	and	and	CCONJ
cana-1481	128	116	(	(	PUNCT
cana-1481	128	117	4	4	X
cana-1481	128	118	)	)	PUNCT
cana-1481	128	119	together	together	ADV
cana-1481	128	120	,	,	PUNCT
cana-1481	128	121	we	we	PRON
cana-1481	128	122	reach	reach	VERB
cana-1481	128	123	)	)	PUNCT
cana-1481	128	124	)	)	PUNCT
cana-1481	128	125	,	,	PUNCT
cana-1481	128	126	,	,	PUNCT
cana-1481	128	127	(	(	PUNCT
cana-1481	128	128	(	(	PUNCT
cana-1481	128	129	)	)	PUNCT
cana-1481	128	130	)	)	PUNCT
cana-1481	128	131	,	,	PUNCT
cana-1481	128	132	,	,	PUNCT
cana-1481	128	133	(	(	PUNCT
cana-1481	128	134	(	(	PUNCT
cana-1481	128	135	111	111	NUM
cana-1481	128	136	iiiiii	iiiiii	NOUN
cana-1481	128	137	gkg	gkg	PROPN
cana-1481	128	138			VERB
cana-1481	128	139	−++	−++	ADP
cana-1481	128	140			NOUN
cana-1481	128	141	…	…	PUNCT
cana-1481	128	142	…	…	SYM
cana-1481	128	143	……	……	NOUN
cana-1481	128	144	..	..	PUNCT
cana-1481	128	145	(	(	PUNCT
cana-1481	128	146	5	5	NUM
cana-1481	128	147	)	)	PUNCT
cana-1481	128	148	by	by	ADP
cana-1481	128	149	recurring	recur	VERB
cana-1481	128	150	eqn	eqn	NOUN
cana-1481	128	151	(	(	PUNCT
cana-1481	128	152	5	5	NUM
cana-1481	128	153	)	)	PUNCT
cana-1481	128	154	n	n	CCONJ
cana-1481	128	155	-	-	PUNCT
cana-1481	128	156	times	time	NOUN
cana-1481	128	157	,	,	PUNCT
cana-1481	128	158	we	we	PRON
cana-1481	128	159	deduce	deduce	VERB
cana-1481	128	160	communications	communication	NOUN
cana-1481	128	161	on	on	ADP
cana-1481	128	162	applied	apply	VERB
cana-1481	128	163	nonlinear	nonlinear	ADJ
cana-1481	128	164	analysis	analysis	NOUN
cana-1481	128	165	issn	issn	NOUN
cana-1481	128	166	:	:	PUNCT
cana-1481	128	167	1074	1074	NUM
cana-1481	128	168	-	-	PUNCT
cana-1481	128	169	133x	133x	NUM
cana-1481	128	170	vol	vol	NOUN
cana-1481	128	171	31	31	NUM
cana-1481	128	172	no	no	NOUN
cana-1481	128	173	.	.	PUNCT
cana-1481	129	1	8s	8s	PROPN
cana-1481	129	2	(	(	PUNCT
cana-1481	129	3	2024	2024	NUM
cana-1481	129	4	)	)	PUNCT
cana-1481	129	5	265	265	NUM
cana-1481	129	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	129	7	)	)	PUNCT
cana-1481	129	8	6	6	NUM
cana-1481	129	9	.	.	PUNCT
cana-1481	129	10	(	(	PUNCT
cana-1481	129	11	....................	....................	PUNCT
cana-1481	129	12	)	)	PUNCT
cana-1481	129	13	)	)	PUNCT
cana-1481	129	14	,	,	PUNCT
cana-1481	129	15	,	,	PUNCT
cana-1481	129	16	(	(	PUNCT
cana-1481	129	17	(	(	PUNCT
cana-1481	129	18	.	.	PUNCT
cana-1481	129	19	.	.	PUNCT
cana-1481	129	20	.	.	PUNCT
cana-1481	129	21	)	)	PUNCT
cana-1481	129	22	)	)	PUNCT
cana-1481	129	23	,	,	PUNCT
cana-1481	129	24	,	,	PUNCT
cana-1481	129	25	(	(	PUNCT
cana-1481	129	26	(	(	PUNCT
cana-1481	129	27	)	)	PUNCT
cana-1481	129	28	)	)	PUNCT
cana-1481	129	29	,	,	PUNCT
cana-1481	129	30	,	,	PUNCT
cana-1481	129	31	(	(	PUNCT
cana-1481	129	32	(	(	PUNCT
cana-1481	129	33	)	)	PUNCT
cana-1481	129	34	)	)	PUNCT
cana-1481	129	35	,	,	PUNCT
cana-1481	129	36	,	,	PUNCT
cana-1481	129	37	(	(	PUNCT
cana-1481	129	38	(	(	PUNCT
cana-1481	129	39	110	110	NUM
cana-1481	129	40	112	112	NUM
cana-1481	129	41	2	2	NUM
cana-1481	129	42	111	111	NUM
cana-1481	129	43			ADJ
cana-1481	129	44			PUNCT
cana-1481	129	45			PROPN
cana-1481	129	46	gk	gk	PROPN
cana-1481	129	47	gk	gk	PROPN
cana-1481	129	48	gkg	gkg	PROPN
cana-1481	129	49	n	n	PROPN
cana-1481	129	50	iii	iii	PROPN
cana-1481	129	51	iiiiii	iiiiii	PROPN
cana-1481	129	52			PROPN
cana-1481	129	53			NOUN
cana-1481	129	54			NOUN
cana-1481	129	55	−−−	−−−	NOUN
cana-1481	130	1	−++	−++	NOUN
cana-1481	130	2	on	on	ADP
cana-1481	130	3	allowing	allow	VERB
cana-1481	130	4	+	+	NOUN
cana-1481	130	5	→n	→n	NOUN
cana-1481	130	6	in	in	ADP
cana-1481	130	7	eqn	eqn	NOUN
cana-1481	130	8	(	(	PUNCT
cana-1481	130	9	6	6	NUM
cana-1481	130	10	)	)	PUNCT
cana-1481	130	11	,	,	PUNCT
cana-1481	130	12	we	we	PRON
cana-1481	130	13	get	get	VERB
cana-1481	130	14	0)),,((lim	0)),,((lim	PRON
cana-1481	130	15	11	11	NUM
cana-1481	130	16	=	=	ADJ
cana-1481	131	1	+	+	ADJ
cana-1481	131	2	+	+	ADJ
cana-1481	131	3	+	+	ADJ
cana-1481	131	4	→	→	PROPN
cana-1481	131	5	iii	iii	NOUN
cana-1481	131	6	n	n	PRON
cana-1481	131	7	g	g	NOUN
cana-1481	131	8			X
cana-1481	131	9	…	…	SYM
cana-1481	131	10	…	…	PUNCT
cana-1481	131	11	…	…	SYM
cana-1481	131	12	……	……	NOUN
cana-1481	131	13	.	.	PUNCT
cana-1481	132	1	(	(	PUNCT
cana-1481	132	2	7	7	X
cana-1481	132	3	)	)	PUNCT
cana-1481	132	4	criterion	criterion	NOUN
cana-1481	132	5	(	(	PUNCT
cana-1481	132	6	2	2	NUM
cana-1481	132	7	)	)	PUNCT
cana-1481	132	8	for	for	ADP
cana-1481	132	9	the	the	DET
cana-1481	132	10	role	role	NOUN
cana-1481	132	11			NOUN
cana-1481	132	12	indicates	indicate	VERB
cana-1481	132	13	that	that	SCONJ
cana-1481	132	14	0),,(lim	0),,(lim	NUM
cana-1481	132	15	11	11	NUM
cana-1481	132	16	=	=	PUNCT
cana-1481	132	17	+	+	ADJ
cana-1481	132	18	+	+	ADJ
cana-1481	132	19	+	+	ADJ
cana-1481	132	20	→	→	PROPN
cana-1481	132	21	iii	iii	NOUN
cana-1481	132	22	n	n	CCONJ
cana-1481	132	23	g	g	NOUN
cana-1481	132	24			NOUN
cana-1481	132	25	…	…	PUNCT
cana-1481	132	26	…	…	SYM
cana-1481	132	27	……	……	NOUN
cana-1481	132	28	..	..	PUNCT
cana-1481	132	29	(	(	PUNCT
cana-1481	132	30	8)	8)	NUM
cana-1481	132	31	we	we	PRON
cana-1481	132	32	seek	seek	VERB
cana-1481	132	33	confirmation	confirmation	NOUN
cana-1481	132	34	that	that	SCONJ
cana-1481	132	35	}	}	PUNCT
cana-1481	132	36	{	{	PUNCT
cana-1481	132	37	i	i	PROPN
cana-1481	132	38	is	be	AUX
cana-1481	132	39	a	a	DET
cana-1481	132	40	g	g	NOUN
cana-1481	132	41	-	-	PUNCT
cana-1481	132	42	cauchy	cauchy	ADJ
cana-1481	132	43	sequence	sequence	NOUN
cana-1481	132	44	in	in	ADP
cana-1481	132	45	.	.	ADJ
cana-1481	132	46	take	take	VERB
cana-1481	132	47	nji	nji	PROPN
cana-1481	132	48			NOUN
cana-1481	132	49	,	,	PUNCT
cana-1481	132	50	with	with	ADP
cana-1481	132	51	ij	ij	INTJ
cana-1481	132	52			INTJ
cana-1481	132	53	.	.	PUNCT
cana-1481	133	1	we	we	PRON
cana-1481	133	2	categorize	categorize	VERB
cana-1481	133	3	the	the	DET
cana-1481	133	4	documentation	documentation	NOUN
cana-1481	133	5	into	into	ADP
cana-1481	133	6	four	four	NUM
cana-1481	133	7	separate	separate	ADJ
cana-1481	133	8	instances	instance	NOUN
cana-1481	133	9	.	.	PUNCT
cana-1481	134	1	case	case	NOUN
cana-1481	134	2	1	1	NUM
cana-1481	134	3	:	:	PUNCT
cana-1481	134	4	i	i	PRON
cana-1481	134	5	is	be	AUX
cana-1481	134	6	odd	odd	ADJ
cana-1481	134	7	integer	integer	NOUN
cana-1481	134	8	and	and	CCONJ
cana-1481	134	9	j	j	PROPN
cana-1481	134	10	is	be	AUX
cana-1481	134	11	even	even	ADV
cana-1481	134	12	integer	integer	ADJ
cana-1481	134	13	.	.	PUNCT
cana-1481	135	1	therefore	therefore	ADV
cana-1481	135	2	,	,	PUNCT
cana-1481	135	3	there	there	PRON
cana-1481	135	4	exists	exist	VERB
cana-1481	135	5	nl	nl	NOUN
cana-1481	135	6	and	and	CCONJ
cana-1481	135	7	an	an	DET
cana-1481	135	8	odd	odd	ADJ
cana-1481	135	9	integer	integer	NOUN
cana-1481	135	10	‘	'	PUNCT
cana-1481	135	11	h	h	NOUN
cana-1481	135	12	’	'	PUNCT
cana-1481	135	13	such	such	ADJ
cana-1481	135	14	that	that	DET
cana-1481	135	15	12	12	NUM
cana-1481	135	16	+	+	NOUN
cana-1481	135	17	=	=	X
cana-1481	135	18	li	li	PROPN
cana-1481	135	19	and	and	CCONJ
cana-1481	135	20	hlhij	hlhij	NOUN
cana-1481	136	1	+	+	PROPN
cana-1481	136	2	+	+	ADJ
cana-1481	136	3	=	=	ADJ
cana-1481	136	4	+	+	NOUN
cana-1481	136	5	=	=	NOUN
cana-1481	136	6	12	12	NUM
cana-1481	136	7	.	.	PUNCT
cana-1481	137	1	since	since	SCONJ
cana-1481	137	2	)	)	PUNCT
cana-1481	137	3	,	,	PUNCT
cana-1481	137	4	,	,	PUNCT
cana-1481	137	5	(	(	PUNCT
cana-1481	137	6	)	)	PUNCT
cana-1481	137	7	,	,	PUNCT
cana-1481	137	8	,	,	PUNCT
cana-1481	137	9	(	(	PUNCT
cana-1481	137	10	jjijji	jjijji	NOUN
cana-1481	137	11			NOUN
cana-1481	137	12			NUM
cana-1481	137	13	we	we	PRON
cana-1481	137	14	have	have	VERB
cana-1481	137	15	n	n	NUM
cana-1481	137	16	)	)	PUNCT
cana-1481	137	17	)	)	PUNCT
cana-1481	138	1	}	}	PUNCT
cana-1481	138	2	,	,	PUNCT
cana-1481	138	3	,	,	PUNCT
cana-1481	138	4	(	(	PUNCT
cana-1481	138	5	(	(	PUNCT
cana-1481	138	6	3	3	NUM
cana-1481	138	7	1	1	NUM
cana-1481	138	8	)	)	PUNCT
cana-1481	138	9	)	)	PUNCT
cana-1481	139	1	,	,	PUNCT
cana-1481	139	2	,	,	PUNCT
cana-1481	139	3	,	,	PUNCT
cana-1481	139	4	(	(	PUNCT
cana-1481	139	5	(	(	PUNCT
cana-1481	139	6	3	3	NUM
cana-1481	139	7	1	1	NUM
cana-1481	139	8	)	)	PUNCT
cana-1481	139	9	)	)	PUNCT
cana-1481	140	1	,	,	PUNCT
cana-1481	140	2	,	,	PUNCT
cana-1481	140	3	,	,	PUNCT
cana-1481	140	4	(	(	PUNCT
cana-1481	140	5	(	(	PUNCT
cana-1481	140	6	3	3	NUM
cana-1481	140	7	1	1	NUM
cana-1481	140	8	)	)	PUNCT
cana-1481	140	9	)	)	PUNCT
cana-1481	141	1	,	,	PUNCT
cana-1481	141	2	,	,	PUNCT
cana-1481	141	3	,	,	PUNCT
cana-1481	141	4	(	(	PUNCT
cana-1481	141	5	(	(	PUNCT
cana-1481	141	6	)	)	PUNCT
cana-1481	141	7	)	)	PUNCT
cana-1481	141	8	,	,	PUNCT
cana-1481	141	9	,	,	PUNCT
cana-1481	141	10	,	,	PUNCT
cana-1481	141	11	(	(	PUNCT
cana-1481	141	12	(	(	PUNCT
cana-1481	141	13	)	)	PUNCT
cana-1481	141	14	)	)	PUNCT
cana-1481	141	15	,	,	PUNCT
cana-1481	141	16	,	,	PUNCT
cana-1481	141	17	,	,	PUNCT
cana-1481	141	18	(	(	PUNCT
cana-1481	141	19	(	(	PUNCT
cana-1481	141	20	)	)	PUNCT
cana-1481	141	21	)	)	PUNCT
cana-1481	141	22	,	,	PUNCT
cana-1481	141	23	,	,	PUNCT
cana-1481	141	24	,	,	PUNCT
cana-1481	141	25	(	(	PUNCT
cana-1481	141	26	(	(	PUNCT
cana-1481	141	27	)	)	PUNCT
cana-1481	141	28	)	)	PUNCT
cana-1481	141	29	,	,	PUNCT
cana-1481	141	30	,	,	PUNCT
cana-1481	141	31	,	,	PUNCT
cana-1481	141	32	(	(	PUNCT
cana-1481	141	33	(	(	PUNCT
cana-1481	141	34	)	)	PUNCT
cana-1481	141	35	)	)	PUNCT
cana-1481	141	36	,	,	PUNCT
cana-1481	141	37	,	,	PUNCT
cana-1481	141	38	,	,	PUNCT
cana-1481	141	39	(	(	PUNCT
cana-1481	141	40	(	(	PUNCT
cana-1481	141	41	)	)	PUNCT
cana-1481	141	42	)	)	PUNCT
cana-1481	141	43	,	,	PUNCT
cana-1481	141	44	,	,	PUNCT
cana-1481	141	45	,	,	PUNCT
cana-1481	141	46	(	(	PUNCT
cana-1481	141	47	(	(	PUNCT
cana-1481	141	48	max	max	PROPN
cana-1481	141	49	{	{	PUNCT
cana-1481	141	50	)	)	PUNCT
cana-1481	141	51	)	)	PUNCT
cana-1481	141	52	,	,	PUNCT
cana-1481	141	53	,	,	PUNCT
cana-1481	141	54	(	(	PUNCT
cana-1481	141	55	(	(	PUNCT
cana-1481	141	56	)	)	PUNCT
cana-1481	141	57	)	)	PUNCT
cana-1481	141	58	,	,	PUNCT
cana-1481	141	59	,	,	PUNCT
cana-1481	141	60	(	(	PUNCT
cana-1481	141	61	(	(	PUNCT
cana-1481	141	62	)	)	PUNCT
cana-1481	141	63	)	)	PUNCT
cana-1481	141	64	,	,	PUNCT
cana-1481	141	65	,	,	PUNCT
cana-1481	141	66	(	(	PUNCT
cana-1481	141	67	(	(	PUNCT
cana-1481	141	68	222222	222222	NUM
cana-1481	141	69	222222	222222	NUM
cana-1481	141	70	222222	222222	NUM
cana-1481	141	71	222222	222222	NUM
cana-1481	141	72	222222	222222	NUM
cana-1481	141	73	222121212	222121212	NUM
cana-1481	141	74	hlhlhlhlhlhl	hlhlhlhlhlhl	NOUN
cana-1481	141	75	hlhlllll	hlhlllll	NOUN
cana-1481	141	76	llhlhlhlhl	llhlhlhlhl	VERB
cana-1481	141	77	hlhlhlhlhlhl	hlhlhlhlhlhl	PROPN
cana-1481	141	78	lllhlhll	lllhlhll	PROPN
cana-1481	141	79	hlhllhlhlljji	hlhllhlhlljji	PROPN
cana-1481	141	80	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	141	81	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	141	82	hhgkhhgk	hhgkhhgk	PROPN
cana-1481	141	83	jjgkjjgk	jjgkjjgk	PROPN
cana-1481	141	84	hhgkgk	hhgkgk	NOUN
cana-1481	141	85	jjhggg	jjhggg	NOUN
cana-1481	141	86	+	+	PROPN
cana-1481	141	87	+	+	PROPN
cana-1481	141	88	+	+	ADJ
cana-1481	141	89	+	+	ADJ
cana-1481	141	90	+	+	ADJ
cana-1481	141	91	+	+	ADJ
cana-1481	141	92	+	+	ADJ
cana-1481	141	93	+	+	ADJ
cana-1481	141	94	+	+	ADJ
cana-1481	141	95	+	+	ADJ
cana-1481	141	96	+	+	ADJ
cana-1481	141	97	+	+	ADJ
cana-1481	141	98	+	+	ADJ
cana-1481	141	99	+	+	ADJ
cana-1481	141	100	+	+	ADJ
cana-1481	141	101	+	+	ADJ
cana-1481	141	102	+	+	ADJ
cana-1481	141	103	+	+	ADJ
cana-1481	141	104	+	+	ADJ
cana-1481	141	105	+	+	ADJ
cana-1481	141	106	+	+	ADJ
cana-1481	141	107	+	+	ADJ
cana-1481	141	108	+	+	ADJ
cana-1481	141	109	+	+	ADJ
cana-1481	141	110	+	+	ADJ
cana-1481	141	111	+	+	ADJ
cana-1481	141	112	+	+	NOUN
cana-1481	141	113			NOUN
cana-1481	141	114	=	=	SYM
cana-1481	141	115	=	=	PUNCT
cana-1481	141	116			VERB
cana-1481	141	117			VERB
cana-1481	141	118			VERB
cana-1481	141	119			NOUN
cana-1481	141	120			VERB
cana-1481	141	121			ADJ
cana-1481	141	122	)	)	PUNCT
cana-1481	141	123	,	,	PUNCT
cana-1481	141	124	,	,	PUNCT
cana-1481	141	125	(	(	PUNCT
cana-1481	141	126	(	(	PUNCT
cana-1481	141	127	3	3	NUM
cana-1481	141	128	1	1	NUM
cana-1481	141	129	)	)	PUNCT
cana-1481	141	130	)	)	PUNCT
cana-1481	142	1	,	,	PUNCT
cana-1481	142	2	,	,	PUNCT
cana-1481	142	3	,	,	PUNCT
cana-1481	142	4	(	(	PUNCT
cana-1481	142	5	(	(	PUNCT
cana-1481	142	6	3	3	NUM
cana-1481	142	7	1	1	NUM
cana-1481	142	8	)	)	PUNCT
cana-1481	142	9	)	)	PUNCT
cana-1481	143	1	,	,	PUNCT
cana-1481	143	2	,	,	PUNCT
cana-1481	143	3	,	,	PUNCT
cana-1481	143	4	(	(	PUNCT
cana-1481	143	5	(	(	PUNCT
cana-1481	143	6	3	3	NUM
cana-1481	143	7	1	1	NUM
cana-1481	143	8	)	)	PUNCT
cana-1481	143	9	)	)	PUNCT
cana-1481	144	1	,	,	PUNCT
cana-1481	144	2	,	,	PUNCT
cana-1481	144	3	,	,	PUNCT
cana-1481	144	4	(	(	PUNCT
cana-1481	144	5	(	(	PUNCT
cana-1481	144	6	)	)	PUNCT
cana-1481	144	7	)	)	PUNCT
cana-1481	144	8	,	,	PUNCT
cana-1481	144	9	,	,	PUNCT
cana-1481	144	10	,	,	PUNCT
cana-1481	144	11	(	(	PUNCT
cana-1481	144	12	(	(	PUNCT
cana-1481	144	13	)	)	PUNCT
cana-1481	144	14	)	)	PUNCT
cana-1481	144	15	,	,	PUNCT
cana-1481	144	16	,	,	PUNCT
cana-1481	144	17	,	,	PUNCT
cana-1481	144	18	(	(	PUNCT
cana-1481	144	19	(	(	PUNCT
cana-1481	144	20	)	)	PUNCT
cana-1481	144	21	)	)	PUNCT
cana-1481	144	22	,	,	PUNCT
cana-1481	144	23	,	,	PUNCT
cana-1481	144	24	,	,	PUNCT
cana-1481	144	25	(	(	PUNCT
cana-1481	144	26	(	(	PUNCT
cana-1481	144	27	)	)	PUNCT
cana-1481	144	28	)	)	PUNCT
cana-1481	144	29	,	,	PUNCT
cana-1481	144	30	,	,	PUNCT
cana-1481	144	31	,	,	PUNCT
cana-1481	144	32	(	(	PUNCT
cana-1481	144	33	(	(	PUNCT
cana-1481	144	34	)	)	PUNCT
cana-1481	144	35	)	)	PUNCT
cana-1481	144	36	,	,	PUNCT
cana-1481	144	37	,	,	PUNCT
cana-1481	144	38	,	,	PUNCT
cana-1481	144	39	(	(	PUNCT
cana-1481	144	40	(	(	PUNCT
cana-1481	144	41	,	,	PUNCT
cana-1481	144	42	)	)	PUNCT
cana-1481	144	43	)	)	PUNCT
cana-1481	144	44	,	,	PUNCT
cana-1481	144	45	,	,	PUNCT
cana-1481	144	46	(	(	PUNCT
cana-1481	144	47	(	(	PUNCT
cana-1481	144	48	max	max	PROPN
cana-1481	144	49	{	{	PUNCT
cana-1481	144	50	1212212122	1212212122	NUM
cana-1481	144	51	1212212122	1212212122	NUM
cana-1481	144	52	1212212122	1212212122	NUM
cana-1481	144	53	1212212122	1212212122	NUM
cana-1481	144	54	12122	12122	NUM
cana-1481	144	55	12	12	NUM
cana-1481	144	56	2	2	NUM
cana-1481	144	57	11	11	NUM
cana-1481	145	1	+	+	ADJ
cana-1481	145	2	+	+	ADJ
cana-1481	145	3	+	+	ADJ
cana-1481	145	4	+	+	ADJ
cana-1481	145	5	+	+	ADJ
cana-1481	145	6	+	+	ADJ
cana-1481	145	7	+	+	ADJ
cana-1481	145	8	+	+	ADJ
cana-1481	145	9	+	+	ADJ
cana-1481	145	10	+	+	ADJ
cana-1481	145	11	+	+	ADJ
cana-1481	145	12	+	+	ADJ
cana-1481	145	13	+	+	ADJ
cana-1481	145	14	+	+	ADJ
cana-1481	145	15	+	+	ADJ
cana-1481	145	16	+	+	ADJ
cana-1481	145	17	+	+	ADJ
cana-1481	145	18	+	+	ADJ
cana-1481	145	19	+	+	ADJ
cana-1481	145	20	+	+	ADJ
cana-1481	145	21	+	+	ADJ
cana-1481	145	22	+	+	ADJ
cana-1481	145	23	+	+	ADJ
cana-1481	145	24	+	+	ADJ
cana-1481	145	25	+	+	ADJ
cana-1481	145	26	+	+	ADJ
cana-1481	145	27	+	+	ADJ
cana-1481	145	28	+	+	ADJ
cana-1481	145	29	+	+	ADJ
cana-1481	145	30	+	+	ADJ
cana-1481	145	31	+	+	ADJ
cana-1481	145	32	+	+	ADJ
cana-1481	145	33	+	+	ADJ
cana-1481	145	34	+	+	ADJ
cana-1481	145	35	+	+	ADJ
cana-1481	145	36	+	+	ADJ
cana-1481	145	37	−+	−+	NOUN
cana-1481	145	38	=	=	PUNCT
cana-1481	146	1	+	+	PROPN
cana-1481	146	2	+	+	ADJ
cana-1481	146	3			ADJ
cana-1481	146	4	hlhlhlhlhlhl	hlhlhlhlhlhl	ADJ
cana-1481	146	5	hlhlllll	hlhlllll	NOUN
cana-1481	146	6	llhlhlhlhl	llhlhlhlhl	VERB
cana-1481	146	7	hlhlhlhlhlhl	hlhlhlhlhlhl	NOUN
cana-1481	146	8	lll	lll	PROPN
cana-1481	146	9	hl	hl	PROPN
cana-1481	146	10	ls	ls	PROPN
cana-1481	146	11	sss	sss	PROPN
cana-1481	146	12	gkgk	gkgk	NOUN
cana-1481	146	13	gkgk	gkgk	NOUN
cana-1481	146	14	gkgk	gkgk	NOUN
cana-1481	146	15	gkgk	gkgk	NOUN
cana-1481	146	16	gkgk	gkgk	NOUN
cana-1481	146	17			VERB
cana-1481	146	18			NOUN
cana-1481	146	19			VERB
cana-1481	146	20			VERB
cana-1481	146	21			NOUN
cana-1481	146	22	communications	communication	NOUN
cana-1481	146	23	on	on	ADP
cana-1481	146	24	applied	apply	VERB
cana-1481	146	25	nonlinear	nonlinear	ADJ
cana-1481	146	26	analysis	analysis	NOUN
cana-1481	146	27	issn	issn	NOUN
cana-1481	146	28	:	:	PUNCT
cana-1481	146	29	1074	1074	NUM
cana-1481	146	30	-	-	PUNCT
cana-1481	146	31	133x	133x	NUM
cana-1481	146	32	vol	vol	NOUN
cana-1481	146	33	31	31	NUM
cana-1481	146	34	no	no	NOUN
cana-1481	146	35	.	.	PUNCT
cana-1481	147	1	8s	8s	PROPN
cana-1481	147	2	(	(	PUNCT
cana-1481	147	3	2024	2024	NUM
cana-1481	147	4	)	)	PUNCT
cana-1481	147	5	266	266	NUM
cana-1481	147	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	147	7	)	)	PUNCT
cana-1481	147	8	,	,	PUNCT
cana-1481	147	9	,	,	PUNCT
cana-1481	147	10	(	(	PUNCT
cana-1481	147	11	(	(	PUNCT
cana-1481	147	12	3	3	NUM
cana-1481	147	13	1	1	NUM
cana-1481	147	14	)	)	PUNCT
cana-1481	147	15	)	)	PUNCT
cana-1481	147	16	,	,	PUNCT
cana-1481	147	17	,	,	PUNCT
cana-1481	147	18	,	,	PUNCT
cana-1481	147	19	(	(	PUNCT
cana-1481	147	20	(	(	PUNCT
cana-1481	147	21	)	)	PUNCT
cana-1481	147	22	)	)	PUNCT
cana-1481	147	23	,	,	PUNCT
cana-1481	147	24	,	,	PUNCT
cana-1481	147	25	,	,	PUNCT
cana-1481	147	26	(	(	PUNCT
cana-1481	147	27	(	(	PUNCT
cana-1481	147	28	)	)	PUNCT
cana-1481	147	29	)	)	PUNCT
cana-1481	147	30	,	,	PUNCT
cana-1481	147	31	,	,	PUNCT
cana-1481	147	32	,	,	PUNCT
cana-1481	147	33	(	(	PUNCT
cana-1481	147	34	(	(	PUNCT
cana-1481	147	35	,	,	PUNCT
cana-1481	147	36	)	)	PUNCT
cana-1481	147	37	)	)	PUNCT
cana-1481	147	38	,	,	PUNCT
cana-1481	147	39	,	,	PUNCT
cana-1481	147	40	(	(	PUNCT
cana-1481	147	41	(	(	PUNCT
cana-1481	147	42	max	max	PROPN
cana-1481	147	43	{	{	PUNCT
cana-1481	147	44	12122	12122	NUM
cana-1481	147	45	1212212122	1212212122	NUM
cana-1481	147	46	12122	12122	NUM
cana-1481	147	47	12	12	NUM
cana-1481	147	48	2	2	NUM
cana-1481	147	49	11	11	NUM
cana-1481	147	50	+	+	ADJ
cana-1481	147	51	+	+	ADJ
cana-1481	147	52	+	+	ADJ
cana-1481	147	53	+	+	ADJ
cana-1481	147	54	+	+	ADJ
cana-1481	147	55	+	+	ADJ
cana-1481	147	56	+	+	ADJ
cana-1481	147	57	+	+	ADJ
cana-1481	147	58	+	+	ADJ
cana-1481	147	59	+	+	ADJ
cana-1481	147	60	+	+	ADJ
cana-1481	147	61	+	+	ADJ
cana-1481	147	62	+	+	ADJ
cana-1481	147	63	+	+	ADJ
cana-1481	147	64	−+	−+	NOUN
cana-1481	147	65	=	=	PUNCT
cana-1481	148	1	+	+	PUNCT
cana-1481	148	2	+	+	ADJ
cana-1481	148	3			PROPN
cana-1481	148	4	hlhll	hlhll	AUX
cana-1481	148	5	llhlhlhlhl	llhlhlhlhl	VERB
cana-1481	148	6	lll	lll	PROPN
cana-1481	148	7	hl	hl	PROPN
cana-1481	148	8	ls	ls	PROPN
cana-1481	148	9	sss	sss	PROPN
cana-1481	148	10	gk	gk	PROPN
cana-1481	148	11	gkgk	gkgk	NOUN
cana-1481	148	12	gkgk	gkgk	NOUN
cana-1481	148	13			PUNCT
cana-1481	148	14			VERB
cana-1481	148	15			PROPN
cana-1481	148	16	}	}	PUNCT
cana-1481	148	17	)	)	PUNCT
cana-1481	148	18	)	)	PUNCT
cana-1481	148	19	,	,	PUNCT
cana-1481	148	20	,	,	PUNCT
cana-1481	148	21	(	(	PUNCT
cana-1481	148	22	(	(	PUNCT
cana-1481	148	23	3	3	NUM
cana-1481	148	24	1	1	NUM
cana-1481	148	25	,	,	PUNCT
cana-1481	148	26	)	)	PUNCT
cana-1481	148	27	,	,	PUNCT
cana-1481	148	28	,	,	PUNCT
cana-1481	148	29	(	(	PUNCT
cana-1481	148	30	(	(	PUNCT
cana-1481	148	31	)	)	PUNCT
cana-1481	148	32	)	)	PUNCT
cana-1481	148	33	,	,	PUNCT
cana-1481	148	34	,	,	PUNCT
cana-1481	148	35	,	,	PUNCT
cana-1481	148	36	(	(	PUNCT
cana-1481	148	37	(	(	PUNCT
cana-1481	148	38	)	)	PUNCT
cana-1481	148	39	)	)	PUNCT
cana-1481	148	40	,	,	PUNCT
cana-1481	148	41	,	,	PUNCT
cana-1481	148	42	,	,	PUNCT
cana-1481	148	43	(	(	PUNCT
cana-1481	148	44	(	(	PUNCT
cana-1481	148	45	,	,	PUNCT
cana-1481	148	46	)	)	PUNCT
cana-1481	148	47	)	)	PUNCT
cana-1481	148	48	)	)	PUNCT
cana-1481	148	49	,	,	PUNCT
cana-1481	148	50	,	,	PUNCT
cana-1481	148	51	(	(	PUNCT
cana-1481	148	52	(	(	PUNCT
cana-1481	148	53	(	(	PUNCT
cana-1481	148	54	max	max	X
cana-1481	148	55	{	{	PUNCT
cana-1481	148	56	2	2	NUM
cana-1481	148	57	2	2	NUM
cana-1481	148	58	11	11	NUM
cana-1481	148	59	12	12	NUM
cana-1481	148	60	12	12	NUM
cana-1481	148	61	1112122	1112122	NUM
cana-1481	148	62	12122	12122	NUM
cana-1481	148	63	12	12	NUM
cana-1481	148	64	2	2	NUM
cana-1481	148	65	11	11	NUM
cana-1481	148	66			X
cana-1481	148	67			X
cana-1481	148	68			X
cana-1481	149	1	+	+	CCONJ
cana-1481	150	1	=	=	PUNCT
cana-1481	150	2	+	+	ADJ
cana-1481	150	3	+	+	NOUN
cana-1481	150	4	−+	−+	PROPN
cana-1481	150	5	+	+	NOUN
cana-1481	150	6	=	=	PROPN
cana-1481	150	7	+	+	ADJ
cana-1481	150	8	+	+	ADJ
cana-1481	150	9	+	+	ADJ
cana-1481	150	10	+	+	ADJ
cana-1481	150	11	+	+	ADJ
cana-1481	150	12	+	+	ADJ
cana-1481	150	13	+	+	ADJ
cana-1481	150	14	+	+	ADJ
cana-1481	150	15	+	+	ADJ
cana-1481	150	16	−+	−+	NOUN
cana-1481	150	17	=	=	PUNCT
cana-1481	151	1	+	+	PUNCT
cana-1481	151	2	+	+	NOUN
cana-1481	151	3			NOUN
cana-1481	151	4	hl	hl	NOUN
cana-1481	151	5	ls	ls	PROPN
cana-1481	151	6	sss	sss	PROPN
cana-1481	151	7	hl	hl	PROPN
cana-1481	151	8	ls	ls	PROPN
cana-1481	151	9	ssshlhlhl	ssshlhlhl	PROPN
cana-1481	151	10	lll	lll	PROPN
cana-1481	151	11	hl	hl	PROPN
cana-1481	151	12	ls	ls	PROPN
cana-1481	151	13	sss	sss	PROPN
cana-1481	151	14	gk	gk	PROPN
cana-1481	151	15	gkgk	gkgk	NOUN
cana-1481	151	16	gkgk	gkgk	NOUN
cana-1481	151	17			PUNCT
cana-1481	151	18			VERB
cana-1481	151	19			PROPN
cana-1481	151	20	}	}	PUNCT
cana-1481	151	21	)	)	PUNCT
cana-1481	151	22	)	)	PUNCT
cana-1481	151	23	,	,	PUNCT
cana-1481	151	24	,	,	PUNCT
cana-1481	151	25	(	(	PUNCT
cana-1481	151	26	(	(	PUNCT
cana-1481	151	27	3	3	NUM
cana-1481	151	28	1	1	NUM
cana-1481	151	29	,	,	PUNCT
cana-1481	151	30	)	)	PUNCT
cana-1481	151	31	,	,	PUNCT
cana-1481	151	32	,	,	PUNCT
cana-1481	151	33	(	(	PUNCT
cana-1481	151	34	(	(	PUNCT
cana-1481	151	35	)	)	PUNCT
cana-1481	151	36	)	)	PUNCT
cana-1481	151	37	,	,	PUNCT
cana-1481	151	38	,	,	PUNCT
cana-1481	151	39	,	,	PUNCT
cana-1481	151	40	(	(	PUNCT
cana-1481	151	41	(	(	PUNCT
cana-1481	151	42	)	)	PUNCT
cana-1481	151	43	)	)	PUNCT
cana-1481	151	44	,	,	PUNCT
cana-1481	151	45	,	,	PUNCT
cana-1481	151	46	,	,	PUNCT
cana-1481	151	47	(	(	PUNCT
cana-1481	151	48	(	(	PUNCT
cana-1481	151	49	,	,	PUNCT
cana-1481	151	50	)	)	PUNCT
cana-1481	151	51	)	)	PUNCT
cana-1481	151	52	,	,	PUNCT
cana-1481	151	53	,	,	PUNCT
cana-1481	151	54	(	(	PUNCT
cana-1481	151	55	(	(	PUNCT
cana-1481	151	56	max	max	X
cana-1481	151	57	{	{	PUNCT
cana-1481	151	58	2	2	NUM
cana-1481	151	59	2	2	NUM
cana-1481	151	60	11	11	NUM
cana-1481	151	61	12	12	NUM
cana-1481	151	62	12	12	NUM
cana-1481	151	63	1112122	1112122	NUM
cana-1481	151	64	12122	12122	NUM
cana-1481	151	65	12	12	NUM
cana-1481	151	66	2	2	NUM
cana-1481	151	67	11	11	NUM
cana-1481	151	68			X
cana-1481	151	69			X
cana-1481	151	70			X
cana-1481	151	71	+	+	CCONJ
cana-1481	151	72	=	=	PUNCT
cana-1481	152	1	+	+	ADJ
cana-1481	152	2	+	+	NOUN
cana-1481	152	3	−+	−+	PROPN
cana-1481	152	4	+	+	NOUN
cana-1481	152	5	=	=	PROPN
cana-1481	152	6	+	+	ADJ
cana-1481	152	7	+	+	ADJ
cana-1481	152	8	+	+	ADJ
cana-1481	152	9	+	+	ADJ
cana-1481	152	10	+	+	ADJ
cana-1481	152	11	+	+	ADJ
cana-1481	152	12	+	+	ADJ
cana-1481	152	13	+	+	ADJ
cana-1481	152	14	+	+	ADJ
cana-1481	152	15	−+	−+	NOUN
cana-1481	152	16	=	=	PUNCT
cana-1481	153	1	+	+	PUNCT
cana-1481	153	2	+	+	NOUN
cana-1481	153	3			NOUN
cana-1481	153	4	hl	hl	NOUN
cana-1481	153	5	ls	ls	PROPN
cana-1481	153	6	sss	sss	PROPN
cana-1481	153	7	hl	hl	PROPN
cana-1481	153	8	ls	ls	PROPN
cana-1481	153	9	ssshlhlhl	ssshlhlhl	PROPN
cana-1481	153	10	lll	lll	PROPN
cana-1481	153	11	hl	hl	PROPN
cana-1481	153	12	ls	ls	PROPN
cana-1481	153	13	sss	sss	PROPN
cana-1481	153	14	gk	gk	PROPN
cana-1481	153	15	gkgk	gkgk	NOUN
cana-1481	153	16	gkgk	gkgk	NOUN
cana-1481	153	17			PUNCT
cana-1481	153	18			VERB
cana-1481	153	19			PROPN
cana-1481	153	20	)	)	PUNCT
cana-1481	153	21	)	)	PUNCT
cana-1481	153	22	,	,	PUNCT
cana-1481	153	23	,	,	PUNCT
cana-1481	153	24	(	(	PUNCT
cana-1481	153	25	(	(	PUNCT
cana-1481	153	26	)	)	PUNCT
cana-1481	153	27	)	)	PUNCT
cana-1481	153	28	,	,	PUNCT
cana-1481	153	29	,	,	PUNCT
cana-1481	153	30	,	,	PUNCT
cana-1481	153	31	(	(	PUNCT
cana-1481	153	32	(	(	PUNCT
cana-1481	153	33	)	)	PUNCT
cana-1481	153	34	)	)	PUNCT
cana-1481	153	35	,	,	PUNCT
cana-1481	153	36	,	,	PUNCT
cana-1481	153	37	,	,	PUNCT
cana-1481	153	38	(	(	PUNCT
cana-1481	153	39	(	(	PUNCT
cana-1481	153	40	1	1	NUM
cana-1481	153	41	max	max	NOUN
cana-1481	153	42	{	{	PUNCT
cana-1481	153	43	)	)	PUNCT
cana-1481	153	44	)	)	PUNCT
cana-1481	153	45	,	,	PUNCT
cana-1481	153	46	,	,	PUNCT
cana-1481	153	47	(	(	PUNCT
cana-1481	153	48	(	(	PUNCT
cana-1481	153	49	)	)	PUNCT
cana-1481	153	50	)	)	PUNCT
cana-1481	153	51	,	,	PUNCT
cana-1481	153	52	,	,	PUNCT
cana-1481	153	53	,	,	PUNCT
cana-1481	153	54	(	(	PUNCT
cana-1481	153	55	(	(	PUNCT
cana-1481	153	56	,	,	PUNCT
cana-1481	153	57	)	)	PUNCT
cana-1481	153	58	)	)	PUNCT
cana-1481	153	59	)	)	PUNCT
cana-1481	153	60	,	,	PUNCT
cana-1481	153	61	,	,	PUNCT
cana-1481	153	62	(	(	PUNCT
cana-1481	153	63	(	(	PUNCT
cana-1481	153	64	(	(	PUNCT
cana-1481	153	65	max	max	X
cana-1481	153	66	{	{	PUNCT
cana-1481	153	67	222	222	NUM
cana-1481	153	68	222110	222110	NUM
cana-1481	153	69	12	12	NUM
cana-1481	153	70	12122	12122	NUM
cana-1481	153	71	12122	12122	NUM
cana-1481	153	72	2	2	NUM
cana-1481	153	73	11	11	NUM
cana-1481	153	74	hlhlhl	hlhlhl	NOUN
cana-1481	153	75	lll	lll	PROPN
cana-1481	153	76	l	l	NOUN
cana-1481	153	77	hlhlhl	hlhlhl	NOUN
cana-1481	153	78	lll	lll	PROPN
cana-1481	153	79	ls	ls	PROPN
cana-1481	153	80	sss	sss	PROPN
cana-1481	153	81	hhgk	hhgk	PROPN
cana-1481	153	82	hhgkg	hhgkg	VERB
cana-1481	153	83	k	k	PROPN
cana-1481	153	84	k	k	PROPN
cana-1481	153	85	gk	gk	PROPN
cana-1481	153	86	gkgk	gkgk	NOUN
cana-1481	154	1	+	+	PROPN
cana-1481	155	1	+	+	ADJ
cana-1481	155	2	+	+	ADJ
cana-1481	156	1	+	+	ADJ
cana-1481	156	2	+	+	ADJ
cana-1481	156	3	+	+	ADJ
cana-1481	156	4	+	+	ADJ
cana-1481	156	5	+	+	ADJ
cana-1481	156	6	+	+	ADJ
cana-1481	156	7	+	+	ADJ
cana-1481	156	8	+	+	ADJ
cana-1481	156	9	+	+	ADJ
cana-1481	156	10			NOUN
cana-1481	156	11	=	=	SYM
cana-1481	156	12	+	+	ADJ
cana-1481	156	13	+	+	NUM
cana-1481	156	14	−	−	PROPN
cana-1481	156	15			NUM
cana-1481	156	16			NOUN
cana-1481	156	17			X
cana-1481	156	18			PUNCT
cana-1481	156	19			VERB
cana-1481	156	20			SYM
cana-1481	156	21			VERB
cana-1481	156	22	by	by	ADP
cana-1481	156	23	allowing	allow	VERB
cana-1481	156	24	+	+	PROPN
cana-1481	156	25	→ji	→ji	NOUN
cana-1481	156	26	,	,	PUNCT
cana-1481	156	27	in	in	ADP
cana-1481	156	28	the	the	DET
cana-1481	156	29	previous	previous	ADJ
cana-1481	156	30	solutions	solution	NOUN
cana-1481	156	31	and	and	CCONJ
cana-1481	156	32	applying	apply	VERB
cana-1481	156	33	argument	argument	NOUN
cana-1481	156	34	(	(	PUNCT
cana-1481	156	35	7	7	NUM
cana-1481	156	36	)	)	PUNCT
cana-1481	156	37	,	,	PUNCT
cana-1481	156	38	we	we	PRON
cana-1481	156	39	obtain	obtain	VERB
cana-1481	156	40	0)),,((lim	0)),,((lim	PRON
cana-1481	156	41	,	,	PUNCT
cana-1481	156	42	=	=	PUNCT
cana-1481	157	1	+	+	PUNCT
cana-1481	157	2	→	→	ADV
cana-1481	157	3	jji	jji	NOUN
cana-1481	157	4	ji	ji	PROPN
cana-1481	157	5	g	g	PROPN
cana-1481	157	6			PUNCT
cana-1481	157	7	the	the	DET
cana-1481	157	8	properties	property	NOUN
cana-1481	157	9	of	of	ADP
cana-1481	157	10			NOUN
cana-1481	157	11	imply	imply	VERB
cana-1481	157	12	that	that	SCONJ
cana-1481	157	13	0),,(lim	0),,(lim	PRON
cana-1481	157	14	,	,	PUNCT
cana-1481	157	15	=	=	PUNCT
cana-1481	158	1	+	+	PUNCT
cana-1481	158	2	→	→	ADV
cana-1481	158	3	jji	jji	NOUN
cana-1481	158	4	ji	ji	PROPN
cana-1481	158	5	g	g	PROPN
cana-1481	158	6			NOUN
cana-1481	158	7	…	…	PUNCT
cana-1481	158	8	…	…	SYM
cana-1481	158	9	……	……	NOUN
cana-1481	158	10	..	..	PUNCT
cana-1481	158	11	(	(	PUNCT
cana-1481	158	12	9	9	X
cana-1481	158	13	)	)	PUNCT
cana-1481	158	14	case	case	NOUN
cana-1481	158	15	2	2	NUM
cana-1481	158	16	:	:	PUNCT
cana-1481	158	17	i	i	PRON
cana-1481	158	18	and	and	CCONJ
cana-1481	158	19	j	j	PROPN
cana-1481	158	20	are	be	AUX
cana-1481	158	21	both	both	PRON
cana-1481	158	22	even	even	ADV
cana-1481	158	23	integers	integer	NOUN
cana-1481	158	24	.	.	PUNCT
cana-1481	159	1	applying	apply	VERB
cana-1481	159	2	the	the	DET
cana-1481	159	3	rectangular	rectangular	ADJ
cana-1481	159	4	inequality	inequality	NOUN
cana-1481	159	5	of	of	ADP
cana-1481	159	6	the	the	DET
cana-1481	159	7	metric	metric	ADJ
cana-1481	159	8	‘	'	PUNCT
cana-1481	159	9	g	g	NOUN
cana-1481	159	10	’	'	PUNCT
cana-1481	159	11	,	,	PUNCT
cana-1481	159	12	we	we	PRON
cana-1481	159	13	have	have	VERB
cana-1481	159	14	)	)	PUNCT
cana-1481	159	15	,	,	PUNCT
cana-1481	159	16	,	,	PUNCT
cana-1481	159	17	(	(	PUNCT
cana-1481	159	18	)	)	PUNCT
cana-1481	159	19	,	,	PUNCT
cana-1481	159	20	,	,	PUNCT
cana-1481	159	21	(	(	PUNCT
cana-1481	159	22	)	)	PUNCT
cana-1481	159	23	,	,	PUNCT
cana-1481	159	24	,	,	PUNCT
cana-1481	159	25	(	(	PUNCT
cana-1481	159	26	111	111	NUM
cana-1481	159	27	jjiiiijji	jjiiiijji	NOUN
cana-1481	159	28	ggg	ggg	NOUN
cana-1481	159	29			PUNCT
cana-1481	160	1	+	+	ADJ
cana-1481	160	2	+	+	ADJ
cana-1481	160	3	+	+	ADJ
cana-1481	160	4	+	+	NOUN
cana-1481	160	5			NOUN
cana-1481	160	6	letting	let	VERB
cana-1481	160	7	+	+	NOUN
cana-1481	160	8	→i	→i	PROPN
cana-1481	160	9	and	and	CCONJ
cana-1481	160	10	in	in	ADP
cana-1481	160	11	view	view	NOUN
cana-1481	160	12	of	of	ADP
cana-1481	160	13	eqn	eqn	NOUN
cana-1481	160	14	(	(	PUNCT
cana-1481	160	15	8)	8)	NUM
cana-1481	160	16	and	and	CCONJ
cana-1481	160	17	(	(	PUNCT
cana-1481	160	18	9	9	NUM
cana-1481	160	19	)	)	PUNCT
cana-1481	160	20	,	,	PUNCT
cana-1481	160	21	we	we	PRON
cana-1481	160	22	get	get	VERB
cana-1481	160	23	0),,(lim	0),,(lim	PRON
cana-1481	160	24	,	,	PUNCT
cana-1481	160	25	=	=	PUNCT
cana-1481	161	1	+	+	PUNCT
cana-1481	161	2	→	→	ADV
cana-1481	161	3	jji	jji	NOUN
cana-1481	161	4	ji	ji	PROPN
cana-1481	161	5	g	g	PROPN
cana-1481	161	6			PROPN
cana-1481	161	7	.	.	PUNCT
cana-1481	162	1	communications	communication	NOUN
cana-1481	162	2	on	on	ADP
cana-1481	162	3	applied	apply	VERB
cana-1481	162	4	nonlinear	nonlinear	ADJ
cana-1481	162	5	analysis	analysis	NOUN
cana-1481	162	6	issn	issn	NOUN
cana-1481	162	7	:	:	PUNCT
cana-1481	162	8	1074	1074	NUM
cana-1481	162	9	-	-	PUNCT
cana-1481	162	10	133x	133x	NUM
cana-1481	162	11	vol	vol	NOUN
cana-1481	162	12	31	31	NUM
cana-1481	162	13	no	no	NOUN
cana-1481	162	14	.	.	PUNCT
cana-1481	163	1	8s	8s	PROPN
cana-1481	163	2	(	(	PUNCT
cana-1481	163	3	2024	2024	NUM
cana-1481	163	4	)	)	PUNCT
cana-1481	163	5	267	267	NUM
cana-1481	163	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	163	7	case3	case3	NUM
cana-1481	163	8	:	:	PUNCT
cana-1481	163	9	i	i	PRON
cana-1481	163	10	is	be	AUX
cana-1481	163	11	even	even	ADV
cana-1481	163	12	integer	integer	NOUN
cana-1481	163	13	and	and	CCONJ
cana-1481	163	14	j	j	PROPN
cana-1481	163	15	is	be	AUX
cana-1481	163	16	an	an	DET
cana-1481	163	17	odd	odd	ADJ
cana-1481	163	18	integer	integer	NOUN
cana-1481	163	19	.	.	PUNCT
cana-1481	164	1	applying	apply	VERB
cana-1481	164	2	the	the	DET
cana-1481	164	3	rectangular	rectangular	ADJ
cana-1481	164	4	inequality	inequality	NOUN
cana-1481	164	5	of	of	ADP
cana-1481	164	6	the	the	DET
cana-1481	164	7	metric	metric	ADJ
cana-1481	164	8	g	g	NOUN
cana-1481	164	9	,	,	PUNCT
cana-1481	164	10	we	we	PRON
cana-1481	164	11	have	have	VERB
cana-1481	164	12	)	)	PUNCT
cana-1481	164	13	,	,	PUNCT
cana-1481	164	14	,	,	PUNCT
cana-1481	164	15	(	(	PUNCT
cana-1481	164	16	)	)	PUNCT
cana-1481	164	17	,	,	PUNCT
cana-1481	164	18	,	,	PUNCT
cana-1481	164	19	(	(	PUNCT
cana-1481	164	20	)	)	PUNCT
cana-1481	164	21	,	,	PUNCT
cana-1481	164	22	,	,	PUNCT
cana-1481	164	23	(	(	PUNCT
cana-1481	164	24	)	)	PUNCT
cana-1481	164	25	,	,	PUNCT
cana-1481	164	26	,	,	PUNCT
cana-1481	164	27	(	(	PUNCT
cana-1481	164	28	111111	111111	NUM
cana-1481	164	29	jjjjjiiiijji	jjjjjiiiijji	PROPN
cana-1481	164	30	gggg	gggg	PROPN
cana-1481	164	31			PROPN
cana-1481	165	1	−−−+++	−−−+++	PUNCT
cana-1481	166	1	+	+	PUNCT
cana-1481	166	2	+	+	NOUN
cana-1481	166	3			NOUN
cana-1481	166	4	letting	let	VERB
cana-1481	166	5	+	+	NOUN
cana-1481	166	6	→i	→i	PROPN
cana-1481	166	7	and	and	CCONJ
cana-1481	166	8	considering	consider	VERB
cana-1481	166	9	eqn	eqn	NOUN
cana-1481	166	10	(	(	PUNCT
cana-1481	166	11	8)	8)	NUM
cana-1481	166	12	and	and	CCONJ
cana-1481	166	13	(	(	PUNCT
cana-1481	166	14	9	9	NUM
cana-1481	166	15	)	)	PUNCT
cana-1481	166	16	,	,	PUNCT
cana-1481	166	17	we	we	PRON
cana-1481	166	18	get	get	VERB
cana-1481	166	19	0),,(lim	0),,(lim	PRON
cana-1481	166	20	,	,	PUNCT
cana-1481	166	21	=	=	PUNCT
cana-1481	167	1	+	+	PUNCT
cana-1481	167	2	→	→	ADV
cana-1481	167	3	jji	jji	NOUN
cana-1481	167	4	ji	ji	PROPN
cana-1481	167	5	g	g	PROPN
cana-1481	167	6			PROPN
cana-1481	167	7	case4	case4	ADV
cana-1481	167	8	:	:	PUNCT
cana-1481	167	9	i	i	PRON
cana-1481	167	10	and	and	CCONJ
cana-1481	167	11	j	j	PROPN
cana-1481	167	12	are	be	AUX
cana-1481	167	13	both	both	PRON
cana-1481	167	14	odd	odd	ADJ
cana-1481	167	15	integer	integer	NOUN
cana-1481	167	16	,	,	PUNCT
cana-1481	167	17	applying	apply	VERB
cana-1481	167	18	the	the	DET
cana-1481	167	19	rectangular	rectangular	ADJ
cana-1481	167	20	inequality	inequality	NOUN
cana-1481	167	21	of	of	ADP
cana-1481	167	22	the	the	DET
cana-1481	167	23	g	g	NOUN
cana-1481	167	24	-	-	PUNCT
cana-1481	167	25	metric	metric	ADJ
cana-1481	167	26	,	,	PUNCT
cana-1481	167	27	we	we	PRON
cana-1481	167	28	have	have	VERB
cana-1481	167	29	)	)	PUNCT
cana-1481	167	30	,	,	PUNCT
cana-1481	167	31	,	,	PUNCT
cana-1481	167	32	(	(	PUNCT
cana-1481	167	33	)	)	PUNCT
cana-1481	167	34	,	,	PUNCT
cana-1481	167	35	,	,	PUNCT
cana-1481	167	36	(	(	PUNCT
cana-1481	167	37	)	)	PUNCT
cana-1481	167	38	,	,	PUNCT
cana-1481	167	39	,	,	PUNCT
cana-1481	167	40	(	(	PUNCT
cana-1481	167	41	111	111	NUM
cana-1481	167	42	jjjjjijji	jjjjjijji	NOUN
cana-1481	167	43	ggg	ggg	NOUN
cana-1481	167	44			PROPN
cana-1481	167	45	−−−	−−−	PUNCT
cana-1481	168	1	+	+	ADV
cana-1481	168	2			NOUN
cana-1481	168	3	on	on	ADP
cana-1481	168	4	permitting	permit	VERB
cana-1481	168	5	+	+	PROPN
cana-1481	168	6	→i	→i	PROPN
cana-1481	168	7	and	and	CCONJ
cana-1481	168	8	in	in	ADP
cana-1481	168	9	view	view	NOUN
cana-1481	168	10	of	of	ADP
cana-1481	168	11	eqn	eqn	NOUN
cana-1481	168	12	(	(	PUNCT
cana-1481	168	13	8)	8)	NUM
cana-1481	168	14	and	and	CCONJ
cana-1481	168	15	(	(	PUNCT
cana-1481	168	16	9	9	NUM
cana-1481	168	17	)	)	PUNCT
cana-1481	168	18	0),,(lim	0),,(lim	NUM
cana-1481	168	19	,	,	PUNCT
cana-1481	168	20	=	=	PUNCT
cana-1481	169	1	+	+	PUNCT
cana-1481	169	2	→	→	ADV
cana-1481	169	3	jji	jji	NOUN
cana-1481	169	4	ji	ji	PROPN
cana-1481	169	5	g	g	PROPN
cana-1481	169	6			PROPN
cana-1481	169	7	after	after	ADP
cana-1481	169	8	putting	put	VERB
cana-1481	169	9	everything	everything	PRON
cana-1481	169	10	together	together	ADV
cana-1481	169	11	,	,	PUNCT
cana-1481	169	12	we	we	PRON
cana-1481	169	13	may	may	AUX
cana-1481	169	14	decide	decide	VERB
cana-1481	169	15	that	that	DET
cana-1481	169	16	0),,(lim	0),,(lim	PRON
cana-1481	169	17	,	,	PUNCT
cana-1481	170	1	=	=	PUNCT
cana-1481	170	2	+	+	PUNCT
cana-1481	170	3	→	→	ADV
cana-1481	170	4	jji	jji	NOUN
cana-1481	170	5	ji	ji	PROPN
cana-1481	170	6	g	g	PROPN
cana-1481	170	7			PROPN
cana-1481	170	8	thus	thus	ADV
cana-1481	170	9	,	,	PUNCT
cana-1481	170	10	we	we	PRON
cana-1481	170	11	conclude	conclude	VERB
cana-1481	170	12	that	that	SCONJ
cana-1481	170	13	}	}	PUNCT
cana-1481	170	14	{	{	PUNCT
cana-1481	170	15	i	i	PROPN
cana-1481	170	16	is	be	AUX
cana-1481	170	17	a	a	DET
cana-1481	170	18	g	g	NOUN
cana-1481	170	19	-	-	PUNCT
cana-1481	170	20	cauchy	cauchy	ADJ
cana-1481	170	21	sequence	sequence	NOUN
cana-1481	170	22	in	in	ADP
cana-1481	170	23			PROPN
cana-1481	170	24	then	then	ADV
cana-1481	170	25	.	.	PUNCT
cana-1481	171	1	−−g	−−g	NOUN
cana-1481	171	2	,	,	PUNCT
cana-1481	171	3	completeness	completeness	NOUN
cana-1481	171	4	of	of	ADP
cana-1481	171	5	metric	metric	ADJ
cana-1481	171	6	space	space	NOUN
cana-1481	171	7	)	)	PUNCT
cana-1481	171	8	,	,	PUNCT
cana-1481	171	9	(	(	PUNCT
cana-1481	171	10	g	g	NOUN
cana-1481	171	11	ensure	ensure	VERB
cana-1481	171	12	that	that	SCONJ
cana-1481	171	13	there	there	PRON
cana-1481	171	14	is	be	VERB
cana-1481	171	15			NOUN
cana-1481	171	16	so	so	SCONJ
cana-1481	171	17	that	that	SCONJ
cana-1481	171	18			PROPN
cana-1481	171	19	→i	→i	PUNCT
cana-1481	171	20	using	use	VERB
cana-1481	171	21	−−g	−−g	NOUN
cana-1481	171	22	,	,	PUNCT
cana-1481	171	23	continuous	continuous	ADJ
cana-1481	171	24	of	of	ADP
cana-1481	171	25	the	the	DET
cana-1481	171	26	mappings	mapping	NOUN
cana-1481	171	27	h	h	NOUN
cana-1481	171	28	and	and	CCONJ
cana-1481	171	29	j	j	PROPN
cana-1481	171	30	,	,	PUNCT
cana-1481	171	31	we	we	PRON
cana-1481	171	32	deduce	deduce	VERB
cana-1481	171	33	that	that	DET
cana-1481	171	34			NOUN
cana-1481	171	35	hh	hh	PROPN
cana-1481	171	36	ii	ii	PROPN
cana-1481	171	37	→=+	→=+	PROPN
cana-1481	171	38	212	212	NUM
cana-1481	171	39	and	and	CCONJ
cana-1481	171	40			VERB
cana-1481	171	41	jj	jj	PROPN
cana-1481	171	42	ii	ii	PROPN
cana-1481	171	43	→=	→=	PUNCT
cana-1481	172	1	+	+	PROPN
cana-1481	172	2	+	+	NOUN
cana-1481	172	3	1222	1222	NUM
cana-1481	172	4	.	.	PUNCT
cana-1481	173	1	by	by	ADP
cana-1481	173	2	unique	unique	ADJ
cana-1481	173	3	of	of	ADP
cana-1481	173	4	limit	limit	NOUN
cana-1481	173	5	,	,	PUNCT
cana-1481	173	6	we	we	PRON
cana-1481	173	7	obtain	obtain	VERB
cana-1481	173	8			NOUN
cana-1481	173	9	=	=	PROPN
cana-1481	173	10	=	=	PROPN
cana-1481	173	11	jh	jh	PROPN
cana-1481	173	12	.	.	PUNCT
cana-1481	174	1	thus	thus	ADV
cana-1481	174	2	,	,	PUNCT
cana-1481	174	3			PROPN
cana-1481	174	4	is	be	AUX
cana-1481	174	5	a	a	DET
cana-1481	174	6	fixed	fix	VERB
cana-1481	174	7	point	point	NOUN
cana-1481	174	8	of	of	ADP
cana-1481	174	9	h	h	NOUN
cana-1481	174	10	and	and	CCONJ
cana-1481	174	11	j	j	PROPN
cana-1481	174	12	.	.	PUNCT
cana-1481	175	1	example	example	NOUN
cana-1481	175	2	:	:	PUNCT
cana-1481	175	3	define	define	VERB
cana-1481	175	4	)	)	PUNCT
cana-1481	175	5	,	,	PUNCT
cana-1481	175	6	0[),0[),0[),0	0[),0[),0[),0	SYM
cana-1481	175	7	[:	[:	X
cana-1481	175	8	+→+++g	+→+++g	NOUN
cana-1481	175	9	by	by	ADP
cana-1481	175	10			PROPN
cana-1481	175	11			NOUN
cana-1481	175	12			ADP
cana-1481	176	1	=	=	NOUN
cana-1481	176	2	=	=	SYM
cana-1481	176	3			PROPN
cana-1481	176	4	=	=	SYM
cana-1481	176	5			NUM
cana-1481	176	6			X
cana-1481	176	7			NOUN
cana-1481	176	8	if	if	SCONJ
cana-1481	176	9	if	if	SCONJ
cana-1481	176	10	g	g	PROPN
cana-1481	176	11	,	,	PUNCT
cana-1481	176	12	0	0	NUM
cana-1481	176	13	}	}	PUNCT
cana-1481	176	14	,	,	PUNCT
cana-1481	176	15	,	,	PUNCT
cana-1481	176	16	,	,	PUNCT
cana-1481	176	17	max	max	PROPN
cana-1481	176	18	{	{	PUNCT
cana-1481	176	19	)	)	PUNCT
cana-1481	176	20	,	,	PUNCT
cana-1481	176	21	,	,	PUNCT
cana-1481	176	22	(	(	PUNCT
cana-1481	176	23	let	let	VERB
cana-1481	176	24	h	h	NOUN
cana-1481	176	25	,	,	PUNCT
cana-1481	176	26	j	j	PROPN
cana-1481	176	27	be	be	VERB
cana-1481	176	28	two	two	NUM
cana-1481	176	29	self	self	NOUN
cana-1481	176	30	-	-	PUNCT
cana-1481	176	31	mappings	mapping	NOUN
cana-1481	176	32	on	on	ADP
cana-1481	176	33	)	)	PUNCT
cana-1481	176	34	,	,	PUNCT
cana-1481	176	35	0	0	PUNCT
cana-1481	176	36	[	[	PUNCT
cana-1481	176	37	+	+	ADV
cana-1481	176	38	defined	define	VERB
cana-1481	176	39	by	by	ADP
cana-1481	176	40			PROPN
cana-1481	176	41	2	2	NUM
cana-1481	176	42	2	2	NUM
cana-1481	176	43	1	1	NUM
cana-1481	176	44	sinh	sinh	NOUN
cana-1481	176	45	=	=	PROPN
cana-1481	176	46	and	and	CCONJ
cana-1481	176	47			PROPN
cana-1481	176	48	2	2	NUM
cana-1481	176	49	4	4	NUM
cana-1481	176	50	1	1	NUM
cana-1481	176	51	sinj	sinj	NOUN
cana-1481	176	52	=	=	PUNCT
cana-1481	176	53	.	.	PUNCT
cana-1481	177	1	in	in	ADP
cana-1481	177	2	addition	addition	NOUN
cana-1481	177	3	,	,	PUNCT
cana-1481	177	4	define	define	VERB
cana-1481	177	5	the	the	DET
cana-1481	177	6	function	function	NOUN
cana-1481	177	7	)	)	PUNCT
cana-1481	177	8	,	,	PUNCT
cana-1481	177	9	0[),0	0[),0	PROPN
cana-1481	177	10	[:	[:	X
cana-1481	177	11	+→+	+→+	X
cana-1481	177	12	by	by	ADP
cana-1481	177	13			PROPN
cana-1481	177	14			PROPN
cana-1481	178	1			VERB
cana-1481	179	1	+	+	CCONJ
cana-1481	179	2	=	=	SYM
cana-1481	179	3	1	1	X
cana-1481	179	4	)	)	PUNCT
cana-1481	179	5	(	(	PUNCT
cana-1481	179	6	.	.	PUNCT
cana-1481	180	1	furthermore	furthermore	ADV
cana-1481	180	2	,	,	PUNCT
cana-1481	180	3	we	we	PRON
cana-1481	180	4	define	define	VERB
cana-1481	180	5	the	the	DET
cana-1481	180	6	function	function	NOUN
cana-1481	180	7	)	)	PUNCT
cana-1481	180	8	,	,	PUNCT
cana-1481	180	9	0	0	NUM
cana-1481	180	10	[:	[:	X
cana-1481	180	11	,	,	PUNCT
cana-1481	180	12	+	+	ADJ
cana-1481	180	13	→	→	PROPN
cana-1481	180	14	by	by	ADP
cana-1481	180	15			PROPN
cana-1481	180	16			NUM
cana-1481	180	17			ADP
cana-1481	180	18			PROPN
cana-1481	180	19			PROPN
cana-1481	180	20	=	=	PUNCT
cana-1481	181	1	+	+	PROPN
cana-1481	181	2	+	+	X
cana-1481	181	3	111,0	111,0	NUM
cana-1481	181	4	]	]	X
cana-1481	181	5	1,0	1,0	NUM
cana-1481	181	6	[	[	NOUN
cana-1481	181	7	,	,	PUNCT
cana-1481	181	8	,	,	PUNCT
cana-1481	181	9	)	)	PUNCT
cana-1481	181	10	,	,	PUNCT
cana-1481	181	11	,	,	PUNCT
cana-1481	181	12	(	(	PUNCT
cana-1481	181	13			NOUN
cana-1481	181	14			PUNCT
cana-1481	181	15			PROPN
cana-1481	181	16			PROPN
cana-1481	181	17	ororif	ororif	PROPN
cana-1481	181	18	ife	ife	PROPN
cana-1481	181	19	and	and	CCONJ
cana-1481	181	20	communications	communication	NOUN
cana-1481	181	21	on	on	ADP
cana-1481	181	22	applied	apply	VERB
cana-1481	181	23	nonlinear	nonlinear	ADJ
cana-1481	181	24	analysis	analysis	NOUN
cana-1481	181	25	issn	issn	NOUN
cana-1481	181	26	:	:	PUNCT
cana-1481	181	27	1074	1074	NUM
cana-1481	181	28	-	-	PUNCT
cana-1481	181	29	133x	133x	NUM
cana-1481	181	30	vol	vol	NOUN
cana-1481	181	31	31	31	NUM
cana-1481	181	32	no	no	NOUN
cana-1481	181	33	.	.	PUNCT
cana-1481	182	1	8s	8s	PROPN
cana-1481	182	2	(	(	PUNCT
cana-1481	182	3	2024	2024	NUM
cana-1481	182	4	)	)	PUNCT
cana-1481	182	5	268	268	NUM
cana-1481	182	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	182	7			PROPN
cana-1481	182	8			NUM
cana-1481	182	9			ADP
cana-1481	182	10			PROPN
cana-1481	182	11			PROPN
cana-1481	182	12	=	=	PUNCT
cana-1481	183	1	111,1	111,1	NOUN
cana-1481	183	2	]	]	SYM
cana-1481	183	3	1,0	1,0	NUM
cana-1481	183	4	[	[	NOUN
cana-1481	183	5	,	,	PUNCT
cana-1481	183	6	,	,	PUNCT
cana-1481	183	7	)	)	PUNCT
cana-1481	183	8	,	,	PUNCT
cana-1481	183	9	,	,	PUNCT
cana-1481	183	10	(	(	PUNCT
cana-1481	183	11			X
cana-1481	183	12			NOUN
cana-1481	183	13			ADJ
cana-1481	183	14			PROPN
cana-1481	183	15	ororif	ororif	VERB
cana-1481	183	16	ife	ife	PROPN
cana-1481	183	17	then	then	ADV
cana-1481	183	18	1	1	X
cana-1481	183	19	.	.	PUNCT
cana-1481	184	1			NOUN
cana-1481	184	2	is	be	AUX
cana-1481	184	3	a	a	DET
cana-1481	184	4	perfect	perfect	ADJ
cana-1481	184	5	function	function	NOUN
cana-1481	184	6	2	2	NUM
cana-1481	184	7	.	.	PUNCT
cana-1481	185	1	there	there	PRON
cana-1481	185	2	exists	exist	VERB
cana-1481	185	3	0	0	PROPN
cana-1481	185	4	)	)	PUNCT
cana-1481	185	5	,	,	PUNCT
cana-1481	185	6	,	,	PUNCT
cana-1481	185	7	(	(	PUNCT
cana-1481	185	8	)	)	PUNCT
cana-1481	185	9	,	,	PUNCT
cana-1481	185	10	,	,	PUNCT
cana-1481	185	11	(	(	PUNCT
cana-1481	185	12	0	0	NUM
cana-1481	185	13	2	2	NUM
cana-1481	185	14	0	0	NUM
cana-1481	185	15	2	2	NUM
cana-1481	185	16	00	00	NUM
cana-1481	185	17	2	2	NUM
cana-1481	185	18	0	0	NUM
cana-1481	185	19	2	2	NUM
cana-1481	185	20	0	0	NUM
cana-1481	185	21			NOUN
cana-1481	185	22	hhhhhh	hhhhhh	X
cana-1481	185	23			PROPN
cana-1481	185	24	and	and	CCONJ
cana-1481	185	25	)	)	PUNCT
cana-1481	185	26	,	,	PUNCT
cana-1481	185	27	,	,	PUNCT
cana-1481	185	28	(	(	PUNCT
cana-1481	185	29	)	)	PUNCT
cana-1481	185	30	,	,	PUNCT
cana-1481	185	31	,	,	PUNCT
cana-1481	185	32	(	(	PUNCT
cana-1481	185	33	000	000	NUM
cana-1481	185	34	2	2	NUM
cana-1481	185	35	000	000	NUM
cana-1481	185	36	2	2	NUM
cana-1481	185	37			NOUN
cana-1481	185	38	hhhhhh	hhhhhh	X
cana-1481	185	39			PROPN
cana-1481	185	40	3	3	NUM
cana-1481	185	41	.	.	PUNCT
cana-1481	185	42	)	)	PUNCT
cana-1481	186	1	,	,	PUNCT
cana-1481	186	2	(	(	PUNCT
cana-1481	186	3	jh	jh	PROPN
cana-1481	186	4	is	be	AUX
cana-1481	186	5	a	a	DET
cana-1481	186	6	pair	pair	NOUN
cana-1481	186	7	of	of	ADP
cana-1481	186	8	−−g	−−g	PROPN
cana-1481	186	9	)	)	PUNCT
cana-1481	186	10	,	,	PUNCT
cana-1481	186	11	(	(	PUNCT
cana-1481	186	12			X
cana-1481	186	13	admissibility	admissibility	NOUN
cana-1481	186	14	4	4	NUM
cana-1481	186	15	.	.	PUNCT
cana-1481	187	1	h	h	PROPN
cana-1481	187	2	and	and	CCONJ
cana-1481	187	3	j	j	PROPN
cana-1481	187	4	are	be	AUX
cana-1481	187	5	−−g	−−g	PROPN
cana-1481	187	6	)	)	PUNCT
cana-1481	187	7	,	,	PUNCT
cana-1481	187	8	(	(	PUNCT
cana-1481	187	9			NOUN
cana-1481	187	10	continuous	continuous	ADJ
cana-1481	187	11	5	5	NUM
cana-1481	187	12	.	.	PUNCT
cana-1481	187	13	g,	g,	NOUN
cana-1481	187	14	is	be	AUX
cana-1481	187	15	an	an	DET
cana-1481	187	16	−−g	−−g	NOUN
cana-1481	187	17	,	,	PUNCT
cana-1481	187	18	complete	complete	ADJ
cana-1481	187	19	metric	metric	ADJ
cana-1481	187	20	space	space	NOUN
cana-1481	187	21	6	6	NUM
cana-1481	187	22	.	.	PUNCT
cana-1481	187	23	)	)	PUNCT
cana-1481	188	1	,	,	PUNCT
cana-1481	188	2	(	(	PUNCT
cana-1481	188	3	jh	jh	PROPN
cana-1481	188	4	is	be	AUX
cana-1481	188	5	ang	ang	PROPN
cana-1481	188	6	)	)	PUNCT
cana-1481	188	7	,	,	PUNCT
cana-1481	188	8	,	,	PUNCT
cana-1481	188	9	(	(	PUNCT
cana-1481	188	10			PROPN
cana-1481	188	11	contraction	contraction	NOUN
cana-1481	188	12	proof	proof	NOUN
cana-1481	188	13	:	:	PUNCT
cana-1481	188	14	it	it	PRON
cana-1481	188	15	is	be	AUX
cana-1481	188	16	an	an	DET
cana-1481	188	17	easy	easy	ADJ
cana-1481	188	18	matter	matter	NOUN
cana-1481	188	19	to	to	PART
cana-1481	188	20	see	see	VERB
cana-1481	188	21	eqn	eqn	PROPN
cana-1481	188	22	’s	’s	PART
cana-1481	188	23	(	(	PUNCT
cana-1481	188	24	1)-(3	1)-(3	NUM
cana-1481	188	25	)	)	PUNCT
cana-1481	188	26	.	.	PUNCT
cana-1481	189	1	prove	prove	VERB
cana-1481	189	2	eqn	eqn	NOUN
cana-1481	189	3	(	(	PUNCT
cana-1481	189	4	4	4	NUM
cana-1481	189	5	)	)	PUNCT
cana-1481	189	6	,	,	PUNCT
cana-1481	189	7	let	let	VERB
cana-1481	189	8	(	(	PUNCT
cana-1481	189	9	i	i	PROPN
cana-1481	189	10	)	)	PUNCT
cana-1481	189	11	be	be	AUX
cana-1481	189	12	any	any	DET
cana-1481	189	13	sequence	sequence	NOUN
cana-1481	189	14	in	in	ADP
cana-1481	189	15	)	)	PUNCT
cana-1481	189	16	,	,	PUNCT
cana-1481	189	17	0	0	PUNCT
cana-1481	189	18	[	[	PUNCT
cana-1481	189	19	+	+	NOUN
cana-1481	189	20	such	such	ADJ
cana-1481	189	21	that	that	PRON
cana-1481	189	22	)	)	PUNCT
cana-1481	189	23	,	,	PUNCT
cana-1481	189	24	0	0	NUM
cana-1481	189	25	[	[	PUNCT
cana-1481	189	26	+→i	+→i	NOUN
cana-1481	189	27	and	and	CCONJ
cana-1481	189	28	)	)	PUNCT
cana-1481	189	29	,	,	PUNCT
cana-1481	189	30	,	,	PUNCT
cana-1481	189	31	(	(	PUNCT
cana-1481	189	32	)	)	PUNCT
cana-1481	189	33	,	,	PUNCT
cana-1481	189	34	,	,	PUNCT
cana-1481	189	35	(	(	PUNCT
cana-1481	189	36	1111	1111	NUM
cana-1481	189	37	+	+	PROPN
cana-1481	189	38	+	+	ADJ
cana-1481	189	39	+	+	ADJ
cana-1481	189	40	+	+	SYM
cana-1481	189	41			NUM
cana-1481	189	42	iiiiii	iiiiii	NOUN
cana-1481	189	43			NOUN
cana-1481	189	44	for	for	ADP
cana-1481	189	45	all	all	DET
cana-1481	189	46	ni	ni	NOUN
cana-1481	189	47	.	.	PUNCT
cana-1481	190	1	thus	thus	ADV
cana-1481	190	2	]	]	X
cana-1481	190	3	1,0[i	1,0[i	NUM
cana-1481	190	4	for	for	ADP
cana-1481	190	5	all	all	DET
cana-1481	190	6	ni	ni	ADJ
cana-1481	190	7	if	if	SCONJ
cana-1481	190	8			PROPN
cana-1481	190	9	=	=	NOUN
cana-1481	190	10	i	i	PRON
cana-1481	190	11	for	for	ADP
cana-1481	190	12	any	any	PRON
cana-1481	190	13	except	except	SCONJ
cana-1481	190	14	a	a	DET
cana-1481	190	15	finite	finite	ADJ
cana-1481	190	16	number	number	NOUN
cana-1481	190	17	,	,	PUNCT
cana-1481	190	18	we	we	PRON
cana-1481	190	19	infer	infer	VERB
cana-1481	190	20	that	that	SCONJ
cana-1481	190	21			PROPN
cana-1481	190	22	hh	hh	NOUN
cana-1481	190	23	i	i	PRON
cana-1481	190	24	→	→	PUNCT
cana-1481	190	25	as	as	ADP
cana-1481	190	26	+	+	PROPN
cana-1481	190	27	→i	→i	PROPN
cana-1481	190	28	.	.	PUNCT
cana-1481	191	1	if	if	SCONJ
cana-1481	191	2			PROPN
cana-1481	191	3	i	i	NOUN
cana-1481	191	4	for	for	ADP
cana-1481	191	5	any	any	DET
cana-1481	191	6	save	save	NOUN
cana-1481	191	7	that	that	PRON
cana-1481	191	8	has	have	VERB
cana-1481	191	9	an	an	DET
cana-1481	191	10	infinite	infinite	ADJ
cana-1481	191	11	number	number	NOUN
cana-1481	191	12	,	,	PUNCT
cana-1481	191	13	we	we	PRON
cana-1481	191	14	observe	observe	VERB
cana-1481	191	15	that	that	DET
cana-1481	191	16	0=	0=	NOUN
cana-1481	191	17	.	.	PUNCT
cana-1481	192	1	hence	hence	ADV
cana-1481	192	2	,	,	PUNCT
cana-1481	192	3	0→i	0→i	X
cana-1481	192	4	in	in	ADP
cana-1481	192	5	(	(	PUNCT
cana-1481	192	6	|.|],1,0	|.|],1,0	PROPN
cana-1481	192	7	[	[	PUNCT
cana-1481	192	8	)	)	PUNCT
cana-1481	192	9	.	.	PUNCT
cana-1481	193	1	therefore	therefore	ADV
cana-1481	193	2			PROPN
cana-1481	193	3	hi	hi	NOUN
cana-1481	194	1	=	=	NOUN
cana-1481	194	2	→	→	SYM
cana-1481	194	3	0}0,0,sin	0}0,0,sin	NOUN
cana-1481	194	4	2	2	NUM
cana-1481	194	5	1	1	NUM
cana-1481	194	6	max	max	PROPN
cana-1481	194	7	{	{	PUNCT
cana-1481	194	8	2	2	NUM
cana-1481	194	9	in	in	ADP
cana-1481	194	10	)	)	PUNCT
cana-1481	194	11	)	)	PUNCT
cana-1481	194	12	,	,	PUNCT
cana-1481	194	13	,	,	PUNCT
cana-1481	194	14	0	0	NUM
cana-1481	194	15	(	(	PUNCT
cana-1481	194	16	[	[	PUNCT
cana-1481	194	17	g+	g+	NOUN
cana-1481	194	18	.	.	PUNCT
cana-1481	195	1	that	that	PRON
cana-1481	195	2	is	be	AUX
cana-1481	195	3	h	h	NOUN
cana-1481	195	4	is	be	AUX
cana-1481	195	5	−−g	−−g	NUM
cana-1481	195	6	)	)	PUNCT
cana-1481	195	7	,	,	PUNCT
cana-1481	195	8	(	(	PUNCT
cana-1481	195	9			NOUN
cana-1481	195	10	continuous	continuous	ADJ
cana-1481	195	11	.	.	PUNCT
cana-1481	196	1	to	to	PART
cana-1481	196	2	prove	prove	VERB
cana-1481	196	3	(	(	PUNCT
cana-1481	196	4	5	5	NUM
cana-1481	196	5	)	)	PUNCT
cana-1481	196	6	,	,	PUNCT
cana-1481	196	7	let	let	VERB
cana-1481	196	8	}	}	PUNCT
cana-1481	196	9	{	{	PUNCT
cana-1481	196	10	i	i	PROPN
cana-1481	196	11	be	be	VERB
cana-1481	196	12	a	a	DET
cana-1481	196	13	g	g	NOUN
cana-1481	196	14	-	-	PUNCT
cana-1481	196	15	cauchy	cauchy	ADJ
cana-1481	196	16	sequence	sequence	NOUN
cana-1481	196	17	in	in	ADP
cana-1481	196	18	)	)	PUNCT
cana-1481	196	19	)	)	PUNCT
cana-1481	196	20	,	,	PUNCT
cana-1481	196	21	,	,	PUNCT
cana-1481	196	22	0	0	NUM
cana-1481	196	23	(	(	PUNCT
cana-1481	196	24	[	[	PUNCT
cana-1481	196	25	g+	g+	NOUN
cana-1481	196	26	such	such	ADJ
cana-1481	196	27	that	that	PRON
cana-1481	196	28	)	)	PUNCT
cana-1481	196	29	,	,	PUNCT
cana-1481	196	30	,	,	PUNCT
cana-1481	196	31	(	(	PUNCT
cana-1481	196	32	)	)	PUNCT
cana-1481	196	33	,	,	PUNCT
cana-1481	196	34	,	,	PUNCT
cana-1481	196	35	(	(	PUNCT
cana-1481	196	36	1111	1111	NUM
cana-1481	196	37	+	+	PROPN
cana-1481	196	38	+	+	ADJ
cana-1481	196	39	+	+	ADJ
cana-1481	196	40	+	+	SYM
cana-1481	196	41			NUM
cana-1481	196	42	iiiiii	iiiiii	PROPN
cana-1481	196	43			NOUN
cana-1481	196	44	then	then	ADV
cana-1481	196	45	]	]	X
cana-1481	196	46	1,0[i	1,0[i	NUM
cana-1481	196	47	for	for	ADP
cana-1481	196	48	all	all	DET
cana-1481	196	49	ni	ni	ADJ
cana-1481	196	50	if	if	SCONJ
cana-1481	196	51	there	there	PRON
cana-1481	196	52	exists	exist	VERB
cana-1481	196	53	]	]	X
cana-1481	196	54	1,0[	1,0[	NUM
cana-1481	196	55	such	such	ADJ
cana-1481	196	56	that	that	SCONJ
cana-1481	196	57			PROPN
cana-1481	196	58	=	=	NOUN
cana-1481	196	59	i	i	PRON
cana-1481	196	60	for	for	ADP
cana-1481	196	61	all	all	PRON
cana-1481	196	62	but	but	ADV
cana-1481	196	63	finitely	finitely	ADV
cana-1481	196	64	many	many	ADJ
cana-1481	196	65	,	,	PUNCT
cana-1481	196	66	then	then	ADV
cana-1481	196	67			PROPN
cana-1481	196	68	→i	→i	PROPN
cana-1481	196	69	as	as	ADP
cana-1481	196	70	+	+	NOUN
cana-1481	196	71	→i	→i	PROPN
cana-1481	196	72	now	now	ADV
cana-1481	196	73	suppose	suppose	VERB
cana-1481	196	74	the	the	DET
cana-1481	196	75	elements	element	NOUN
cana-1481	196	76	of	of	ADP
cana-1481	196	77	}	}	PUNCT
cana-1481	196	78	{	{	PUNCT
cana-1481	196	79	i	i	PROPN
cana-1481	196	80	are	be	AUX
cana-1481	196	81	distinct	distinct	ADJ
cana-1481	196	82	for	for	ADP
cana-1481	196	83	all	all	PRON
cana-1481	196	84	but	but	ADV
cana-1481	196	85	finitely	finitely	ADV
cana-1481	196	86	many	many	ADJ
cana-1481	196	87	.	.	PUNCT
cana-1481	197	1	given	give	VERB
cana-1481	197	2	0	0	NOUN
cana-1481	197	3	since	since	SCONJ
cana-1481	197	4	}	}	PUNCT
cana-1481	197	5	{	{	PUNCT
cana-1481	197	6	i	i	PROPN
cana-1481	197	7	is	be	AUX
cana-1481	197	8	a	a	DET
cana-1481	197	9	g	g	NOUN
cana-1481	197	10	-	-	PUNCT
cana-1481	197	11	cauchy	cauchy	ADJ
cana-1481	197	12	sequence	sequence	NOUN
cana-1481	197	13	in	in	ADP
cana-1481	197	14	)	)	PUNCT
cana-1481	197	15	)	)	PUNCT
cana-1481	197	16	,	,	PUNCT
cana-1481	197	17	,	,	PUNCT
cana-1481	197	18	0	0	NUM
cana-1481	197	19	(	(	PUNCT
cana-1481	197	20	[	[	PUNCT
cana-1481	197	21	g+	g+	X
cana-1481	197	22	,	,	PUNCT
cana-1481	197	23	then	then	ADV
cana-1481	197	24	there	there	PRON
cana-1481	197	25	exists	exist	VERB
cana-1481	197	26	ni	ni	PROPN
cana-1481	197	27	0	0	PUNCT
cana-1481	197	28	such	such	ADJ
cana-1481	197	29	that	that	DET
cana-1481	197	30			NUM
cana-1481	197	31	},,max	},,max	NUM
cana-1481	197	32	{	{	PUNCT
cana-1481	197	33	jji	jji	NOUN
cana-1481	197	34	for	for	ADP
cana-1481	197	35	all	all	DET
cana-1481	197	36	0iij	0iij	NOUN
cana-1481	197	37			NOUN
cana-1481	197	38	therefore	therefore	ADV
cana-1481	197	39	,	,	PUNCT
cana-1481	197	40			PROPN
cana-1481	197	41	}0,0,max	}0,0,max	PROPN
cana-1481	197	42	{	{	PUNCT
cana-1481	197	43	i	i	PRON
cana-1481	197	44	for	for	ADP
cana-1481	197	45	0ii	0ii	NOUN
cana-1481	197	46			NUM
cana-1481	198	1	so	so	ADV
cana-1481	198	2	,	,	PUNCT
cana-1481	198	3	0→i	0→i	X
cana-1481	198	4	in	in	ADP
cana-1481	198	5	)	)	PUNCT
cana-1481	198	6	)	)	PUNCT
cana-1481	198	7	,	,	PUNCT
cana-1481	198	8	,	,	PUNCT
cana-1481	198	9	0	0	NUM
cana-1481	198	10	(	(	PUNCT
cana-1481	198	11	[	[	PUNCT
cana-1481	198	12	g+	g+	X
cana-1481	198	13	thus	thus	ADV
cana-1481	198	14	,	,	PUNCT
cana-1481	198	15	)	)	PUNCT
cana-1481	198	16	)	)	PUNCT
cana-1481	198	17	,	,	PUNCT
cana-1481	198	18	,	,	PUNCT
cana-1481	198	19	0	0	NUM
cana-1481	198	20	(	(	PUNCT
cana-1481	198	21	[	[	PUNCT
cana-1481	198	22	g+	g+	X
cana-1481	198	23	is	be	AUX
cana-1481	198	24	an	an	DET
cana-1481	198	25	−−g	−−g	NOUN
cana-1481	198	26	,	,	PUNCT
cana-1481	198	27	complete	complete	ADJ
cana-1481	198	28	metric	metric	ADJ
cana-1481	198	29	space	space	NOUN
cana-1481	198	30	to	to	PART
cana-1481	198	31	prove	prove	VERB
cana-1481	198	32	(	(	PUNCT
cana-1481	198	33	6	6	NUM
cana-1481	198	34	)	)	PUNCT
cana-1481	198	35	,	,	PUNCT
cana-1481	198	36	let	let	VERB
cana-1481	198	37			NOUN
cana-1481	198	38	,	,	PUNCT
cana-1481	198	39	,	,	PUNCT
cana-1481	198	40	such	such	ADJ
cana-1481	198	41	that	that	PRON
cana-1481	198	42	)	)	PUNCT
cana-1481	198	43	,	,	PUNCT
cana-1481	198	44	,	,	PUNCT
cana-1481	198	45	(	(	PUNCT
cana-1481	198	46	)	)	PUNCT
cana-1481	198	47	,	,	PUNCT
cana-1481	198	48	,	,	PUNCT
cana-1481	198	49	(	(	PUNCT
cana-1481	198	50			X
cana-1481	198	51			NUM
cana-1481	198	52	.then	.then	X
cana-1481	199	1	]	]	X
cana-1481	199	2	1,0	1,0	NUM
cana-1481	199	3	[	[	X
cana-1481	199	4	,	,	PUNCT
cana-1481	199	5	,	,	PUNCT
cana-1481	199	6			VERB
cana-1481	199	7	so	so	ADV
cana-1481	199	8	,	,	PUNCT
cana-1481	199	9	communications	communication	NOUN
cana-1481	199	10	on	on	ADP
cana-1481	199	11	applied	apply	VERB
cana-1481	199	12	nonlinear	nonlinear	ADJ
cana-1481	199	13	analysis	analysis	NOUN
cana-1481	199	14	issn	issn	NOUN
cana-1481	199	15	:	:	PUNCT
cana-1481	199	16	1074	1074	NUM
cana-1481	199	17	-	-	PUNCT
cana-1481	199	18	133x	133x	NUM
cana-1481	199	19	vol	vol	NOUN
cana-1481	199	20	31	31	NUM
cana-1481	199	21	no	no	NOUN
cana-1481	199	22	.	.	PUNCT
cana-1481	200	1	8s	8s	PROPN
cana-1481	200	2	(	(	PUNCT
cana-1481	200	3	2024	2024	NUM
cana-1481	200	4	)	)	PUNCT
cana-1481	200	5	269	269	NUM
cana-1481	200	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	200	7	}	}	PUNCT
cana-1481	200	8	4	4	NUM
cana-1481	200	9	1	1	NUM
cana-1481	200	10	,	,	PUNCT
cana-1481	200	11	4	4	NUM
cana-1481	200	12	1	1	NUM
cana-1481	200	13	,	,	PUNCT
cana-1481	200	14	2	2	NUM
cana-1481	200	15	1	1	NUM
cana-1481	200	16	max{1	max{1	NOUN
cana-1481	200	17	}	}	SYM
cana-1481	200	18	4	4	NUM
cana-1481	200	19	1	1	NUM
cana-1481	200	20	,	,	PUNCT
cana-1481	200	21	4	4	NUM
cana-1481	200	22	1	1	NUM
cana-1481	200	23	,	,	PUNCT
cana-1481	200	24	2	2	NUM
cana-1481	200	25	1	1	NUM
cana-1481	200	26	max	max	PROPN
cana-1481	200	27	{	{	PUNCT
cana-1481	200	28	}	}	PUNCT
cana-1481	200	29	)	)	PUNCT
cana-1481	200	30	4	4	NUM
cana-1481	200	31	1	1	NUM
cana-1481	200	32	,	,	PUNCT
cana-1481	200	33	4	4	NUM
cana-1481	200	34	1	1	NUM
cana-1481	200	35	,	,	PUNCT
cana-1481	200	36	2	2	NUM
cana-1481	200	37	1	1	NUM
cana-1481	200	38	(	(	PUNCT
cana-1481	200	39	max	max	PROPN
cana-1481	200	40	{	{	PUNCT
cana-1481	200	41	)	)	PUNCT
cana-1481	200	42	)	)	PUNCT
cana-1481	200	43	4	4	NUM
cana-1481	200	44	1	1	NUM
cana-1481	200	45	,	,	PUNCT
cana-1481	200	46	4	4	NUM
cana-1481	200	47	1	1	NUM
cana-1481	200	48	,	,	PUNCT
cana-1481	200	49	2	2	NUM
cana-1481	200	50	1	1	NUM
cana-1481	200	51	(	(	PUNCT
cana-1481	200	52	(	(	PUNCT
cana-1481	200	53	)	)	PUNCT
cana-1481	200	54	)	)	PUNCT
cana-1481	200	55	,	,	PUNCT
cana-1481	200	56	,	,	PUNCT
cana-1481	200	57	(	(	PUNCT
cana-1481	200	58	(	(	PUNCT
cana-1481	200	59	222	222	NUM
cana-1481	200	60	222	222	NUM
cana-1481	200	61	222	222	NUM
cana-1481	200	62	222	222	NUM
cana-1481	200	63			NUM
cana-1481	200	64			PROPN
cana-1481	200	65			PROPN
cana-1481	200	66			PROPN
cana-1481	200	67	sinsinsin	sinsinsin	PROPN
cana-1481	200	68	sinsinsin	sinsinsin	PROPN
cana-1481	200	69	sinsinsin	sinsinsin	VERB
cana-1481	200	70	sinsinsingjjhg	sinsinsingjjhg	ADV
cana-1481	200	71	+	+	NUM
cana-1481	200	72	=	=	SYM
cana-1481	200	73	=	=	SYM
cana-1481	200	74	=	=	SYM
cana-1481	200	75	}	}	SYM
cana-1481	200	76	1	1	NUM
cana-1481	200	77	2	2	NUM
cana-1481	200	78	1	1	NUM
cana-1481	200	79	,	,	PUNCT
cana-1481	200	80	2	2	NUM
cana-1481	200	81	1	1	NUM
cana-1481	200	82	,	,	PUNCT
cana-1481	200	83	max{2	max{2	PROPN
cana-1481	200	84	}	}	PUNCT
cana-1481	200	85	2	2	NUM
cana-1481	200	86	1	1	NUM
cana-1481	200	87	,	,	PUNCT
cana-1481	200	88	2	2	NUM
cana-1481	200	89	1	1	NUM
cana-1481	200	90	,	,	PUNCT
cana-1481	200	91	max	max	PROPN
cana-1481	200	92	{	{	PUNCT
cana-1481	200	93	222	222	NUM
cana-1481	200	94	222	222	NUM
cana-1481	200	95			NUM
cana-1481	200	96			NUM
cana-1481	200	97	sinsinsin	sinsinsin	NOUN
cana-1481	200	98	sinsinsin	sinsinsin	NOUN
cana-1481	200	99	+	+	X
cana-1481	200	100	=	=	PUNCT
cana-1481	200	101	)	)	PUNCT
cana-1481	200	102	)	)	PUNCT
cana-1481	200	103	,	,	PUNCT
cana-1481	200	104	,	,	PUNCT
cana-1481	200	105	(	(	PUNCT
cana-1481	200	106	(	(	PUNCT
cana-1481	200	107	5	5	NUM
cana-1481	200	108	4	4	NUM
cana-1481	200	109	}	}	PUNCT
cana-1481	200	110	,	,	PUNCT
cana-1481	200	111	,	,	PUNCT
cana-1481	200	112	max{1	max{1	NOUN
cana-1481	200	113	}	}	PUNCT
cana-1481	200	114	,	,	PUNCT
cana-1481	200	115	,	,	PUNCT
cana-1481	200	116	max	max	PROPN
cana-1481	200	117	{	{	PUNCT
cana-1481	200	118	5	5	NUM
cana-1481	200	119	4	4	NUM
cana-1481	200	120	,	,	PUNCT
cana-1481	200	121	,	,	PUNCT
cana-1481	200	122	max{1	max{1	NOUN
cana-1481	200	123	}	}	PUNCT
cana-1481	200	124	,	,	PUNCT
cana-1481	200	125	,	,	PUNCT
cana-1481	200	126	max	max	PROPN
cana-1481	200	127	{	{	PUNCT
cana-1481	200	128	5	5	NUM
cana-1481	200	129	4	4	NUM
cana-1481	200	130	222	222	NUM
cana-1481	200	131	222	222	NUM
cana-1481	200	132			SYM
cana-1481	200	133			PROPN
cana-1481	200	134			PUNCT
cana-1481	200	135			PUNCT
cana-1481	200	136			NUM
cana-1481	200	137	g	g	PROPN
cana-1481	200	138	sinsinsin	sinsinsin	NOUN
cana-1481	200	139	sinsinsin	sinsinsin	NOUN
cana-1481	200	140	=	=	SYM
cana-1481	200	141			NOUN
cana-1481	200	142			NOUN
cana-1481	200	143			PROPN
cana-1481	200	144			NOUN
cana-1481	201	1			PROPN
cana-1481	201	2			NOUN
cana-1481	201	3	+	+	CCONJ
cana-1481	201	4			NOUN
cana-1481	201	5			NOUN
cana-1481	201	6			NOUN
cana-1481	201	7			PROPN
cana-1481	201	8			NOUN
cana-1481	201	9			PROPN
cana-1481	201	10			NOUN
cana-1481	201	11	+	+	CCONJ
cana-1481	201	12			NOUN
cana-1481	201	13	)	)	PUNCT
cana-1481	201	14	,	,	PUNCT
cana-1481	201	15	,	,	PUNCT
cana-1481	201	16	(	(	PUNCT
cana-1481	201	17	(	(	PUNCT
cana-1481	201	18	15	15	NUM
cana-1481	201	19	4	4	NUM
cana-1481	201	20	)	)	PUNCT
cana-1481	201	21	)	)	PUNCT
cana-1481	202	1	,	,	PUNCT
cana-1481	202	2	,	,	PUNCT
cana-1481	202	3	,	,	PUNCT
cana-1481	202	4	(	(	PUNCT
cana-1481	202	5	(	(	PUNCT
cana-1481	202	6	15	15	NUM
cana-1481	202	7	4	4	NUM
cana-1481	202	8	)	)	PUNCT
cana-1481	202	9	)	)	PUNCT
cana-1481	203	1	,	,	PUNCT
cana-1481	203	2	,	,	PUNCT
cana-1481	203	3	,	,	PUNCT
cana-1481	203	4	(	(	PUNCT
cana-1481	203	5	(	(	PUNCT
cana-1481	203	6	15	15	NUM
cana-1481	203	7	4	4	NUM
cana-1481	203	8	)	)	PUNCT
cana-1481	203	9	)	)	PUNCT
cana-1481	203	10	,	,	PUNCT
cana-1481	203	11	,	,	PUNCT
cana-1481	203	12	,	,	PUNCT
cana-1481	203	13	(	(	PUNCT
cana-1481	203	14	(	(	PUNCT
cana-1481	203	15	5	5	NUM
cana-1481	203	16	4	4	NUM
cana-1481	203	17	)	)	PUNCT
cana-1481	203	18	)	)	PUNCT
cana-1481	204	1	,	,	PUNCT
cana-1481	204	2	,	,	PUNCT
cana-1481	204	3	,	,	PUNCT
cana-1481	204	4	(	(	PUNCT
cana-1481	204	5	(	(	PUNCT
cana-1481	204	6	5	5	NUM
cana-1481	204	7	4	4	NUM
cana-1481	204	8	)	)	PUNCT
cana-1481	204	9	)	)	PUNCT
cana-1481	205	1	,	,	PUNCT
cana-1481	205	2	,	,	PUNCT
cana-1481	205	3	,	,	PUNCT
cana-1481	205	4	(	(	PUNCT
cana-1481	205	5	(	(	PUNCT
cana-1481	205	6	5	5	NUM
cana-1481	205	7	4	4	NUM
cana-1481	205	8	)	)	PUNCT
cana-1481	205	9	)	)	PUNCT
cana-1481	206	1	,	,	PUNCT
cana-1481	206	2	,	,	PUNCT
cana-1481	206	3	,	,	PUNCT
cana-1481	206	4	(	(	PUNCT
cana-1481	206	5	(	(	PUNCT
cana-1481	206	6	5	5	NUM
cana-1481	206	7	4	4	NUM
cana-1481	206	8	)	)	PUNCT
cana-1481	206	9	)	)	PUNCT
cana-1481	207	1	,	,	PUNCT
cana-1481	207	2	,	,	PUNCT
cana-1481	207	3	,	,	PUNCT
cana-1481	207	4	(	(	PUNCT
cana-1481	207	5	(	(	PUNCT
cana-1481	207	6	5	5	NUM
cana-1481	207	7	4	4	NUM
cana-1481	207	8	)	)	PUNCT
cana-1481	207	9	)	)	PUNCT
cana-1481	208	1	,	,	PUNCT
cana-1481	208	2	,	,	PUNCT
cana-1481	208	3	,	,	PUNCT
cana-1481	208	4	(	(	PUNCT
cana-1481	208	5	(	(	PUNCT
cana-1481	208	6	5	5	NUM
cana-1481	208	7	4	4	NUM
cana-1481	208	8	)	)	PUNCT
cana-1481	208	9	)	)	PUNCT
cana-1481	209	1	,	,	PUNCT
cana-1481	209	2	,	,	PUNCT
cana-1481	209	3	,	,	PUNCT
cana-1481	209	4	(	(	PUNCT
cana-1481	209	5	(	(	PUNCT
cana-1481	209	6	5	5	NUM
cana-1481	209	7	4	4	NUM
cana-1481	209	8	max	max	PROPN
cana-1481	209	9	{	{	PUNCT
cana-1481	209	10			PROPN
cana-1481	209	11			X
cana-1481	209	12			PROPN
cana-1481	209	13			PROPN
cana-1481	209	14	jjgjjg	jjgjjg	ADJ
cana-1481	209	15	jjgjjghhg	jjgjjghhg	PROPN
cana-1481	209	16	hhgjjgjjg	hhgjjgjjg	VERB
cana-1481	209	17	hhgg	hhgg	PROPN
cana-1481	209	18	similarly	similarly	ADV
cana-1481	209	19	,	,	PUNCT
cana-1481	209	20	we	we	PRON
cana-1481	209	21	can	can	AUX
cana-1481	209	22	show	show	VERB
cana-1481	209	23	that	that	PRON
cana-1481	209	24	)	)	PUNCT
cana-1481	209	25	)	)	PUNCT
cana-1481	209	26	}	}	PUNCT
cana-1481	209	27	,	,	PUNCT
cana-1481	209	28	,	,	PUNCT
cana-1481	209	29	(	(	PUNCT
cana-1481	209	30	(	(	PUNCT
cana-1481	209	31	15	15	NUM
cana-1481	209	32	4	4	NUM
cana-1481	209	33	)	)	PUNCT
cana-1481	209	34	)	)	PUNCT
cana-1481	209	35	,	,	PUNCT
cana-1481	209	36	,	,	PUNCT
cana-1481	209	37	,	,	PUNCT
cana-1481	209	38	(	(	PUNCT
cana-1481	209	39	(	(	PUNCT
cana-1481	209	40	15	15	NUM
cana-1481	209	41	4	4	NUM
cana-1481	209	42	)	)	PUNCT
cana-1481	209	43	)	)	PUNCT
cana-1481	209	44	,	,	PUNCT
cana-1481	209	45	,	,	PUNCT
cana-1481	209	46	,	,	PUNCT
cana-1481	209	47	(	(	PUNCT
cana-1481	209	48	(	(	PUNCT
cana-1481	209	49	15	15	NUM
cana-1481	209	50	4	4	NUM
cana-1481	209	51	)	)	PUNCT
cana-1481	209	52	)	)	PUNCT
cana-1481	209	53	,	,	PUNCT
cana-1481	209	54	,	,	PUNCT
cana-1481	209	55	,	,	PUNCT
cana-1481	209	56	(	(	PUNCT
cana-1481	209	57	(	(	PUNCT
cana-1481	209	58	5	5	NUM
cana-1481	209	59	4	4	NUM
cana-1481	209	60	)	)	PUNCT
cana-1481	209	61	)	)	PUNCT
cana-1481	209	62	,	,	PUNCT
cana-1481	209	63	,	,	PUNCT
cana-1481	209	64	,	,	PUNCT
cana-1481	209	65	(	(	PUNCT
cana-1481	209	66	(	(	PUNCT
cana-1481	209	67	5	5	NUM
cana-1481	209	68	4	4	NUM
cana-1481	209	69	)	)	PUNCT
cana-1481	209	70	)	)	PUNCT
cana-1481	209	71	,	,	PUNCT
cana-1481	209	72	,	,	PUNCT
cana-1481	209	73	,	,	PUNCT
cana-1481	209	74	(	(	PUNCT
cana-1481	209	75	(	(	PUNCT
cana-1481	209	76	5	5	NUM
cana-1481	209	77	4	4	NUM
cana-1481	209	78	)	)	PUNCT
cana-1481	209	79	)	)	PUNCT
cana-1481	209	80	,	,	PUNCT
cana-1481	209	81	,	,	PUNCT
cana-1481	209	82	,	,	PUNCT
cana-1481	209	83	(	(	PUNCT
cana-1481	209	84	(	(	PUNCT
cana-1481	209	85	5	5	NUM
cana-1481	209	86	4	4	NUM
cana-1481	209	87	)	)	PUNCT
cana-1481	209	88	)	)	PUNCT
cana-1481	209	89	,	,	PUNCT
cana-1481	209	90	,	,	PUNCT
cana-1481	209	91	,	,	PUNCT
cana-1481	209	92	(	(	PUNCT
cana-1481	209	93	(	(	PUNCT
cana-1481	209	94	5	5	NUM
cana-1481	209	95	4	4	NUM
cana-1481	209	96	)	)	PUNCT
cana-1481	209	97	)	)	PUNCT
cana-1481	209	98	,	,	PUNCT
cana-1481	209	99	,	,	PUNCT
cana-1481	209	100	,	,	PUNCT
cana-1481	209	101	(	(	PUNCT
cana-1481	209	102	(	(	PUNCT
cana-1481	209	103	5	5	NUM
cana-1481	209	104	4	4	NUM
cana-1481	209	105	)	)	PUNCT
cana-1481	209	106	)	)	PUNCT
cana-1481	209	107	,	,	PUNCT
cana-1481	209	108	,	,	PUNCT
cana-1481	209	109	,	,	PUNCT
cana-1481	209	110	(	(	PUNCT
cana-1481	209	111	(	(	PUNCT
cana-1481	209	112	5	5	NUM
cana-1481	209	113	4	4	NUM
cana-1481	209	114	max	max	NOUN
cana-1481	209	115	{	{	PUNCT
cana-1481	209	116	)	)	PUNCT
cana-1481	209	117	)	)	PUNCT
cana-1481	209	118	,	,	PUNCT
cana-1481	209	119	,	,	PUNCT
cana-1481	209	120	(	(	PUNCT
cana-1481	209	121	(	(	PUNCT
cana-1481	209	122			X
cana-1481	209	123			X
cana-1481	209	124			PROPN
cana-1481	209	125			PROPN
cana-1481	209	126	jjg	jjg	PROPN
cana-1481	209	127	hhghhgjjg	hhghhgjjg	PROPN
cana-1481	209	128	hhghhgjjg	hhghhgjjg	PROPN
cana-1481	209	129	hhgjjgghhjg	hhgjjgghhjg	VERB
cana-1481	209	130			NOUN
cana-1481	209	131	hence	hence	ADV
cana-1481	209	132	,	,	PUNCT
cana-1481	209	133	h	h	NOUN
cana-1481	209	134	and	and	CCONJ
cana-1481	209	135	j	j	PROPN
cana-1481	209	136	satisfy	satisfy	PROPN
cana-1481	209	137	definition	definition	NOUN
cana-1481	209	138	3.4	3.4	NUM
cana-1481	209	139	for	for	ADP
cana-1481	209	140	5	5	NUM
cana-1481	209	141	4	4	NUM
cana-1481	209	142	=	=	SYM
cana-1481	209	143	k	k	X
cana-1481	209	144	therefore	therefore	ADV
cana-1481	209	145	,	,	PUNCT
cana-1481	209	146	h	h	NOUN
cana-1481	209	147	,	,	PUNCT
cana-1481	209	148	j	j	PROPN
cana-1481	209	149	satisfy	satisfy	VERB
cana-1481	209	150	all	all	DET
cana-1481	209	151	the	the	DET
cana-1481	209	152	conditions	condition	NOUN
cana-1481	209	153	of	of	ADP
cana-1481	209	154	theorem	theorem	ADJ
cana-1481	209	155	3.6	3.6	NUM
cana-1481	209	156	.	.	PUNCT
cana-1481	210	1	therefore	therefore	ADV
cana-1481	210	2	h	h	PROPN
cana-1481	210	3	and	and	CCONJ
cana-1481	210	4	j	j	PROPN
cana-1481	210	5	have	have	VERB
cana-1481	210	6	a	a	DET
cana-1481	210	7	common	common	ADJ
cana-1481	210	8	fixed	fix	VERB
cana-1481	210	9	point	point	NOUN
cana-1481	210	10	.	.	PUNCT
cana-1481	211	1	communications	communication	NOUN
cana-1481	211	2	on	on	ADP
cana-1481	211	3	applied	apply	VERB
cana-1481	211	4	nonlinear	nonlinear	ADJ
cana-1481	211	5	analysis	analysis	NOUN
cana-1481	211	6	issn	issn	NOUN
cana-1481	211	7	:	:	PUNCT
cana-1481	211	8	1074	1074	NUM
cana-1481	211	9	-	-	PUNCT
cana-1481	211	10	133x	133x	NUM
cana-1481	211	11	vol	vol	NOUN
cana-1481	211	12	31	31	NUM
cana-1481	211	13	no	no	NOUN
cana-1481	211	14	.	.	PUNCT
cana-1481	212	1	8s	8s	PROPN
cana-1481	212	2	(	(	PUNCT
cana-1481	212	3	2024	2024	NUM
cana-1481	212	4	)	)	PUNCT
cana-1481	212	5	270	270	NUM
cana-1481	212	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	212	7	references	reference	NOUN
cana-1481	212	8	[	[	X
cana-1481	212	9	1	1	NUM
cana-1481	212	10	]	]	PUNCT
cana-1481	212	11	banach	banach	NOUN
cana-1481	212	12	,	,	PUNCT
cana-1481	212	13	s.	s.	PROPN
cana-1481	212	14	sur	sur	PROPN
cana-1481	212	15	les	les	PROPN
cana-1481	212	16	operations	operation	NOUN
cana-1481	212	17	dans	dan	NOUN
cana-1481	212	18	les	les	X
cana-1481	212	19	ensembles	ensemble	NOUN
cana-1481	212	20	et	et	PROPN
cana-1481	212	21	leur	leur	X
cana-1481	212	22	application	application	PROPN
cana-1481	212	23	aux	aux	PROPN
cana-1481	212	24	equation	equation	NOUN
cana-1481	212	25	sitegrales	sitegrale	NOUN
cana-1481	212	26	.	.	PUNCT
cana-1481	213	1	fundam	fundam	PROPN
cana-1481	213	2	.	.	PUNCT
cana-1481	213	3	math	math	PROPN
cana-1481	213	4	.	.	PUNCT
cana-1481	214	1	1922	1922	NUM
cana-1481	214	2	,	,	PUNCT
cana-1481	214	3	3	3	NUM
cana-1481	214	4	,	,	PUNCT
cana-1481	214	5	133–181	133–181	NUM
cana-1481	214	6	.	.	PUNCT
cana-1481	215	1	[	[	X
cana-1481	215	2	2	2	NUM
cana-1481	215	3	]	]	X
cana-1481	215	4	khan	khan	PROPN
cana-1481	215	5	,	,	PUNCT
cana-1481	215	6	m.s	m.s	PROPN
cana-1481	215	7	.	.	PROPN
cana-1481	215	8	;	;	PUNCT
cana-1481	215	9	swaleh	swaleh	PROPN
cana-1481	215	10	,	,	PUNCT
cana-1481	215	11	m.	m.	NOUN
cana-1481	215	12	;	;	PUNCT
cana-1481	215	13	sessa	sessa	PROPN
cana-1481	215	14	,	,	PUNCT
cana-1481	215	15	s.	s.	PROPN
cana-1481	215	16	fixed	fix	VERB
cana-1481	215	17	point	point	NOUN
cana-1481	215	18	theorems	theorem	NOUN
cana-1481	215	19	by	by	ADP
cana-1481	215	20	altering	alter	VERB
cana-1481	215	21	distances	distance	NOUN
cana-1481	215	22	between	between	ADP
cana-1481	215	23	the	the	DET
cana-1481	215	24	points	point	NOUN
cana-1481	215	25	.	.	PUNCT
cana-1481	216	1	bull	bull	NOUN
cana-1481	216	2	.	.	PUNCT
cana-1481	217	1	aust	aust	PROPN
cana-1481	217	2	.	.	PUNCT
cana-1481	217	3	math	math	PROPN
cana-1481	217	4	.	.	PUNCT
cana-1481	218	1	soc	soc	PROPN
cana-1481	218	2	.	.	PUNCT
cana-1481	219	1	1984	1984	NUM
cana-1481	219	2	,	,	PUNCT
cana-1481	219	3	30	30	NUM
cana-1481	219	4	,	,	PUNCT
cana-1481	219	5	1–9	1–9	NOUN
cana-1481	219	6	.	.	PUNCT
cana-1481	220	1	[	[	X
cana-1481	220	2	3	3	NUM
cana-1481	220	3	]	]	PUNCT
cana-1481	220	4	alsamir	alsamir	NOUN
cana-1481	220	5	,	,	PUNCT
cana-1481	220	6	h.	h.	PROPN
cana-1481	220	7	;	;	PUNCT
cana-1481	220	8	noorani	noorani	PROPN
cana-1481	220	9	,	,	PUNCT
cana-1481	220	10	m.s	m.s	PROPN
cana-1481	220	11	.	.	PROPN
cana-1481	220	12	;	;	PUNCT
cana-1481	220	13	shatanawi	shatanawi	PROPN
cana-1481	220	14	,	,	PUNCT
cana-1481	220	15	w.	w.	NOUN
cana-1481	220	16	on	on	ADP
cana-1481	220	17	fixed	fix	VERB
cana-1481	220	18	points	point	NOUN
cana-1481	220	19	of	of	ADP
cana-1481	220	20	(	(	PUNCT
cana-1481	220	21	η	η	PROPN
cana-1481	220	22	,	,	PUNCT
cana-1481	220	23	θ)-quasicontraction	θ)-quasicontraction	NUM
cana-1481	220	24	mappings	mapping	NOUN
cana-1481	220	25	in	in	ADP
cana-1481	220	26	generalized	generalized	ADJ
cana-1481	220	27	metric	metric	ADJ
cana-1481	220	28	spaces	space	NOUN
cana-1481	220	29	.	.	PUNCT
cana-1481	221	1	j.	j.	PROPN
cana-1481	221	2	nonlinear	nonlinear	PROPN
cana-1481	221	3	sci	sci	PROPN
cana-1481	221	4	.	.	PUNCT
cana-1481	221	5	appl	appl	PROPN
cana-1481	221	6	.	.	PROPN
cana-1481	221	7	2016	2016	NUM
cana-1481	221	8	,	,	PUNCT
cana-1481	221	9	9	9	NUM
cana-1481	221	10	,	,	PUNCT
cana-1481	221	11	4651–4658	4651–4658	NUM
cana-1481	221	12	.	.	PUNCT
cana-1481	222	1	[	[	X
cana-1481	222	2	4	4	NUM
cana-1481	222	3	]	]	X
cana-1481	222	4	cho	cho	PROPN
cana-1481	222	5	,	,	PUNCT
cana-1481	222	6	y.j	y.j	PROPN
cana-1481	222	7	.	.	PROPN
cana-1481	222	8	;	;	PUNCT
cana-1481	222	9	rhoades	rhoade	NOUN
cana-1481	222	10	,	,	PUNCT
cana-1481	222	11	b.e	b.e	PROPN
cana-1481	222	12	.	.	PROPN
cana-1481	222	13	;	;	PUNCT
cana-1481	222	14	saadati	saadati	PROPN
cana-1481	222	15	,	,	PUNCT
cana-1481	222	16	r.	r.	PROPN
cana-1481	222	17	;	;	PUNCT
cana-1481	222	18	samet	samet	PROPN
cana-1481	222	19	,	,	PUNCT
cana-1481	222	20	b.	b.	PROPN
cana-1481	222	21	;	;	PUNCT
cana-1481	222	22	shatanawi	shatanawi	PROPN
cana-1481	222	23	,	,	PUNCT
cana-1481	222	24	w.	w.	PROPN
cana-1481	222	25	nonlinear	nonlinear	PROPN
cana-1481	222	26	coupled	couple	VERB
cana-1481	222	27	fixed	fix	VERB
cana-1481	222	28	point	point	NOUN
cana-1481	222	29	theorems	theorem	NOUN
cana-1481	222	30	in	in	ADP
cana-1481	222	31	ordered	order	VERB
cana-1481	222	32	generalized	generalized	ADJ
cana-1481	222	33	metric	metric	ADJ
cana-1481	222	34	spaces	space	NOUN
cana-1481	222	35	with	with	ADP
cana-1481	222	36	integral	integral	ADJ
cana-1481	222	37	type	type	NOUN
cana-1481	222	38	.	.	PUNCT
cana-1481	223	1	fixed	fix	VERB
cana-1481	223	2	point	point	NOUN
cana-1481	223	3	theory	theory	NOUN
cana-1481	223	4	appl	appl	PROPN
cana-1481	223	5	.	.	PROPN
cana-1481	223	6	2012	2012	NUM
cana-1481	223	7	,	,	PUNCT
cana-1481	223	8	8	8	NUM
cana-1481	223	9	,	,	PUNCT
cana-1481	223	10	1–14	1–14	PROPN
cana-1481	223	11	.	.	PUNCT
cana-1481	224	1	[	[	X
cana-1481	224	2	5	5	NUM
cana-1481	224	3	]	]	PUNCT
cana-1481	224	4	aydi	aydi	ADJ
cana-1481	224	5	,	,	PUNCT
cana-1481	224	6	h.	h.	PROPN
cana-1481	224	7	;	;	PUNCT
cana-1481	224	8	postolache	postolache	PROPN
cana-1481	224	9	,	,	PUNCT
cana-1481	224	10	m.	m.	NOUN
cana-1481	224	11	;	;	PUNCT
cana-1481	224	12	shatanawi	shatanawi	PROPN
cana-1481	224	13	,	,	PUNCT
cana-1481	224	14	w.	w.	PROPN
cana-1481	224	15	coupled	couple	VERB
cana-1481	224	16	fixed	fix	VERB
cana-1481	224	17	point	point	NOUN
cana-1481	224	18	results	result	NOUN
cana-1481	224	19	for	for	ADP
cana-1481	224	20	(	(	PUNCT
cana-1481	224	21	ψ	ψ	NOUN
cana-1481	224	22	,	,	PUNCT
cana-1481	224	23	φ)-weakly	φ)-weakly	VERB
cana-1481	224	24	contractive	contractive	ADJ
cana-1481	224	25	mappings	mapping	NOUN
cana-1481	224	26	in	in	ADP
cana-1481	224	27	ordered	order	VERB
cana-1481	224	28	g	g	NOUN
cana-1481	224	29	-	-	PUNCT
cana-1481	224	30	metric	metric	ADJ
cana-1481	224	31	spaces	space	NOUN
cana-1481	224	32	.	.	PUNCT
cana-1481	225	1	comput	comput	NOUN
cana-1481	225	2	.	.	PUNCT
cana-1481	226	1	math	math	NOUN
cana-1481	226	2	.	.	PUNCT
cana-1481	227	1	appl	appl	PROPN
cana-1481	227	2	.	.	PROPN
cana-1481	227	3	2012	2012	NUM
cana-1481	227	4	,	,	PUNCT
cana-1481	227	5	63	63	NUM
cana-1481	227	6	,	,	PUNCT
cana-1481	227	7	298–309	298–309	NUM
cana-1481	227	8	.	.	PUNCT
cana-1481	228	1	[	[	X
cana-1481	228	2	6	6	NUM
cana-1481	228	3	]	]	PUNCT
cana-1481	228	4	karapinar	karapinar	PROPN
cana-1481	228	5	,	,	PUNCT
cana-1481	228	6	e.	e.	PROPN
cana-1481	228	7	generalizations	generalization	NOUN
cana-1481	228	8	of	of	ADP
cana-1481	228	9	caristi	caristi	PROPN
cana-1481	228	10	kirks	kirks	PROPN
cana-1481	228	11	theorem	theorem	VERB
cana-1481	228	12	on	on	ADP
cana-1481	228	13	partial	partial	ADJ
cana-1481	228	14	metric	metric	ADJ
cana-1481	228	15	spaces	space	NOUN
cana-1481	228	16	.	.	PUNCT
cana-1481	229	1	fixed	fix	VERB
cana-1481	229	2	point	point	NOUN
cana-1481	229	3	theory	theory	NOUN
cana-1481	229	4	appl	appl	NOUN
cana-1481	229	5	.	.	PUNCT
cana-1481	230	1	2011	2011	NUM
cana-1481	230	2	,	,	PUNCT
cana-1481	230	3	4	4	NUM
cana-1481	230	4	,	,	PUNCT
cana-1481	230	5	1–7	1–7	NUM
cana-1481	230	6	.	.	PUNCT
cana-1481	231	1	[	[	X
cana-1481	231	2	7	7	NUM
cana-1481	231	3	]	]	X
cana-1481	231	4	karapinar	karapinar	NOUN
cana-1481	231	5	,	,	PUNCT
cana-1481	231	6	e.	e.	PROPN
cana-1481	231	7	discussion	discussion	NOUN
cana-1481	231	8	on	on	ADP
cana-1481	231	9	α	α	PROPN
cana-1481	231	10	−	−	NOUN
cana-1481	231	11	ψ	ψ	ADP
cana-1481	231	12	contractions	contraction	NOUN
cana-1481	231	13	on	on	ADP
cana-1481	231	14	generalized	generalized	ADJ
cana-1481	231	15	metric	metric	ADJ
cana-1481	231	16	spaces	space	NOUN
cana-1481	231	17	.	.	PUNCT
cana-1481	232	1	abstr	abstr	PROPN
cana-1481	232	2	.	.	PUNCT
cana-1481	232	3	appl	appl	PROPN
cana-1481	232	4	.	.	PUNCT
cana-1481	233	1	anal	anal	PROPN
cana-1481	233	2	.	.	PUNCT
cana-1481	234	1	2014	2014	NUM
cana-1481	234	2	.	.	PUNCT
cana-1481	235	1	[	[	X
cana-1481	235	2	8	8	NUM
cana-1481	235	3	]	]	X
cana-1481	235	4	mustafa	mustafa	PROPN
cana-1481	235	5	,	,	PUNCT
cana-1481	235	6	z.	z.	PROPN
cana-1481	235	7	;	;	PUNCT
cana-1481	235	8	aydi	aydi	VERB
cana-1481	235	9	,	,	PUNCT
cana-1481	235	10	h.	h.	PROPN
cana-1481	235	11	;	;	PUNCT
cana-1481	235	12	karapinar	karapinar	PROPN
cana-1481	235	13	,	,	PUNCT
cana-1481	235	14	e.	e.	PROPN
cana-1481	235	15	mixed	mix	VERB
cana-1481	235	16	g	g	NOUN
cana-1481	235	17	-	-	PUNCT
cana-1481	235	18	monotone	monotone	NOUN
cana-1481	235	19	property	property	NOUN
cana-1481	235	20	and	and	CCONJ
cana-1481	235	21	quadruple	quadruple	ADJ
cana-1481	235	22	fixed	fix	VERB
cana-1481	235	23	point	point	NOUN
cana-1481	235	24	theorems	theorem	NOUN
cana-1481	235	25	in	in	ADP
cana-1481	235	26	partially	partially	ADV
cana-1481	235	27	ordered	order	VERB
cana-1481	235	28	metric	metric	ADJ
cana-1481	235	29	spaces	space	NOUN
cana-1481	235	30	.	.	PUNCT
cana-1481	236	1	fixed	fix	VERB
cana-1481	236	2	point	point	NOUN
cana-1481	236	3	theory	theory	NOUN
cana-1481	236	4	appl	appl	PROPN
cana-1481	236	5	.	.	PROPN
cana-1481	237	1	2012	2012	NUM
cana-1481	237	2	,	,	PUNCT
cana-1481	237	3	71	71	NUM
cana-1481	237	4	,	,	PUNCT
cana-1481	237	5	1–19	1–19	NOUN
cana-1481	237	6	.	.	PUNCT
cana-1481	238	1	[	[	X
cana-1481	238	2	9	9	NUM
cana-1481	238	3	]	]	SYM
cana-1481	238	4	alharbi	alharbi	NOUN
cana-1481	238	5	,	,	PUNCT
cana-1481	238	6	a.s.s	a.s.s	NOUN
cana-1481	238	7	.	.	PUNCT
cana-1481	238	8	;	;	PUNCT
cana-1481	238	9	alsulami	alsulami	PROPN
cana-1481	238	10	,	,	PUNCT
cana-1481	238	11	h.h	h.h	PROPN
cana-1481	238	12	.	.	PROPN
cana-1481	238	13	;	;	PUNCT
cana-1481	238	14	karapinar	karapinar	PROPN
cana-1481	238	15	,	,	PUNCT
cana-1481	238	16	e.	e.	PROPN
cana-1481	238	17	on	on	ADP
cana-1481	238	18	the	the	DET
cana-1481	238	19	power	power	NOUN
cana-1481	238	20	of	of	ADP
cana-1481	238	21	simulation	simulation	NOUN
cana-1481	238	22	and	and	CCONJ
cana-1481	238	23	admissible	admissible	ADJ
cana-1481	238	24	functions	function	NOUN
cana-1481	238	25	in	in	ADP
cana-1481	238	26	metric	metric	ADJ
cana-1481	238	27	fixed	fix	VERB
cana-1481	238	28	point	point	NOUN
cana-1481	238	29	theory	theory	NOUN
cana-1481	238	30	.	.	PUNCT
cana-1481	239	1	j.	j.	PROPN
cana-1481	239	2	funct	funct	PROPN
cana-1481	239	3	.	.	PUNCT
cana-1481	240	1	spaces	space	NOUN
cana-1481	240	2	.	.	PUNCT
cana-1481	241	1	2017	2017	NUM
cana-1481	241	2	.	.	PUNCT
cana-1481	242	1	[	[	X
cana-1481	242	2	10	10	NUM
cana-1481	242	3	]	]	X
cana-1481	242	4	karapinar	karapinar	PROPN
cana-1481	242	5	,	,	PUNCT
cana-1481	242	6	e.	e.	PROPN
cana-1481	242	7	;	;	PUNCT
cana-1481	242	8	samet	samet	PROPN
cana-1481	242	9	,	,	PUNCT
cana-1481	242	10	b.	b.	PROPN
cana-1481	242	11	a	a	DET
cana-1481	242	12	note	note	NOUN
cana-1481	242	13	on	on	ADP
cana-1481	242	14	ψ	ψ	ADJ
cana-1481	242	15	-	-	ADJ
cana-1481	242	16	geraghty	geraghty	VERB
cana-1481	242	17	type	type	NOUN
cana-1481	242	18	contractions	contraction	NOUN
cana-1481	242	19	.	.	PUNCT
cana-1481	243	1	fixed	fix	VERB
cana-1481	243	2	point	point	NOUN
cana-1481	243	3	theory	theory	NOUN
cana-1481	243	4	appl	appl	PROPN
cana-1481	243	5	.	.	PROPN
cana-1481	244	1	2014	2014	NUM
cana-1481	244	2	,	,	PUNCT
cana-1481	244	3	26	26	NUM
cana-1481	244	4	,	,	PUNCT
cana-1481	244	5	1–5	1–5	NUM
cana-1481	244	6	.	.	PUNCT
cana-1481	245	1	[	[	X
cana-1481	245	2	11	11	NUM
cana-1481	245	3	]	]	SYM
cana-1481	245	4	du	du	X
cana-1481	245	5	,	,	PUNCT
cana-1481	245	6	ws	ws	PROPN
cana-1481	245	7	.	.	PUNCT
cana-1481	245	8	;	;	PUNCT
cana-1481	245	9	karapinar	karapinar	PROPN
cana-1481	245	10	,	,	PUNCT
cana-1481	245	11	e.	e.	PROPN
cana-1481	245	12	a	a	DET
cana-1481	245	13	note	note	NOUN
cana-1481	245	14	on	on	ADP
cana-1481	245	15	caristi	caristi	ADJ
cana-1481	245	16	-	-	PUNCT
cana-1481	245	17	type	type	NOUN
cana-1481	245	18	cyclic	cyclic	ADJ
cana-1481	245	19	maps	map	NOUN
cana-1481	245	20	:	:	PUNCT
cana-1481	245	21	related	related	ADJ
cana-1481	245	22	results	result	NOUN
cana-1481	245	23	and	and	CCONJ
cana-1481	245	24	applications	application	NOUN
cana-1481	245	25	.	.	PUNCT
cana-1481	246	1	fixed	fix	VERB
cana-1481	246	2	point	point	NOUN
cana-1481	246	3	theory	theory	NOUN
cana-1481	246	4	appl	appl	NOUN
cana-1481	246	5	.	.	PUNCT
cana-1481	247	1	2013	2013	NUM
cana-1481	247	2	,	,	PUNCT
cana-1481	247	3	344	344	NUM
cana-1481	247	4	,	,	PUNCT
cana-1481	247	5	1–13	1–13	NOUN
cana-1481	247	6	.	.	PUNCT
cana-1481	248	1	[	[	X
cana-1481	248	2	12	12	NUM
cana-1481	248	3	]	]	X
cana-1481	248	4	ding	ding	NOUN
cana-1481	248	5	,	,	PUNCT
cana-1481	248	6	hs	hs	PROPN
cana-1481	248	7	.	.	PROPN
cana-1481	248	8	;	;	PUNCT
cana-1481	248	9	karapinar	karapinar	PROPN
cana-1481	248	10	,	,	PUNCT
cana-1481	248	11	e.	e.	PROPN
cana-1481	248	12	meir	meir	PROPN
cana-1481	248	13	-	-	PROPN
cana-1481	248	14	keeler	keeler	PROPN
cana-1481	248	15	type	type	NOUN
cana-1481	248	16	contractions	contraction	NOUN
cana-1481	248	17	in	in	ADP
cana-1481	248	18	partially	partially	ADV
cana-1481	248	19	ordered	order	VERB
cana-1481	248	20	g	g	NOUN
cana-1481	248	21	-	-	PUNCT
cana-1481	248	22	metric	metric	ADJ
cana-1481	248	23	spaces	space	NOUN
cana-1481	248	24	.	.	PUNCT
cana-1481	249	1	fixed	fix	VERB
cana-1481	249	2	point	point	NOUN
cana-1481	249	3	theory	theory	NOUN
cana-1481	249	4	appl	appl	NOUN
cana-1481	249	5	.	.	PUNCT
cana-1481	250	1	2013	2013	NUM
cana-1481	250	2	,	,	PUNCT
cana-1481	250	3	35	35	NUM
cana-1481	250	4	,	,	PUNCT
cana-1481	250	5	1–10	1–10	NOUN
cana-1481	250	6	.	.	PUNCT
cana-1481	251	1	[	[	X
cana-1481	251	2	13	13	NUM
cana-1481	251	3	]	]	PUNCT
cana-1481	251	4	isik	isik	NOUN
cana-1481	251	5	,	,	PUNCT
cana-1481	251	6	h.	h.	PROPN
cana-1481	251	7	;	;	PUNCT
cana-1481	251	8	turkoglu	turkoglu	PROPN
cana-1481	251	9	,	,	PUNCT
cana-1481	251	10	d.	d.	PROPN
cana-1481	251	11	common	common	ADJ
cana-1481	251	12	fixed	fix	VERB
cana-1481	251	13	points	point	NOUN
cana-1481	251	14	for	for	ADP
cana-1481	251	15	(	(	PUNCT
cana-1481	251	16	ψ	ψ	X
cana-1481	251	17	,	,	PUNCT
cana-1481	251	18	α	α	X
cana-1481	251	19	,	,	PUNCT
cana-1481	251	20	β)-weakly	β)-weakly	ADP
cana-1481	251	21	contractive	contractive	ADJ
cana-1481	251	22	mappings	mapping	NOUN
cana-1481	251	23	in	in	ADP
cana-1481	251	24	generalized	generalized	ADJ
cana-1481	251	25	metric	metric	ADJ
cana-1481	251	26	spaces	space	NOUN
cana-1481	251	27	.	.	PUNCT
cana-1481	252	1	fixed	fix	VERB
cana-1481	252	2	point	point	NOUN
cana-1481	252	3	theory	theory	NOUN
cana-1481	252	4	appl	appl	NOUN
cana-1481	252	5	.	.	PUNCT
cana-1481	253	1	2013	2013	NUM
cana-1481	253	2	,	,	PUNCT
cana-1481	253	3	131	131	NUM
cana-1481	253	4	,	,	PUNCT
cana-1481	253	5	1–6	1–6	NUM
cana-1481	253	6	.	.	PUNCT
cana-1481	254	1	mathematics	mathematic	NOUN
cana-1481	254	2	2018	2018	NUM
cana-1481	254	3	,	,	PUNCT
cana-1481	254	4	6	6	NUM
cana-1481	254	5	,	,	PUNCT
cana-1481	254	6	261	261	NUM
cana-1481	254	7	11	11	NUM
cana-1481	254	8	of	of	ADP
cana-1481	254	9	11	11	NUM
cana-1481	255	1	[	[	SYM
cana-1481	255	2	14	14	NUM
cana-1481	255	3	]	]	PUNCT
cana-1481	255	4	abdeljawad	abdeljawad	NOUN
cana-1481	255	5	,	,	PUNCT
cana-1481	255	6	t.	t.	PROPN
cana-1481	255	7	;	;	PUNCT
cana-1481	255	8	alzabut	alzabut	PROPN
cana-1481	255	9	,	,	PUNCT
cana-1481	255	10	j.	j.	PROPN
cana-1481	255	11	;	;	PUNCT
cana-1481	255	12	mukheimer	mukheimer	PROPN
cana-1481	255	13	,	,	PUNCT
cana-1481	255	14	a.	a.	NOUN
cana-1481	255	15	;	;	PUNCT
cana-1481	255	16	zaidan	zaidan	PROPN
cana-1481	255	17	,	,	PUNCT
cana-1481	255	18	y.	y.	PROPN
cana-1481	255	19	best	good	ADJ
cana-1481	255	20	proximity	proximity	NOUN
cana-1481	255	21	points	point	NOUN
cana-1481	255	22	for	for	ADP
cana-1481	255	23	cyclical	cyclical	ADJ
cana-1481	255	24	contraction	contraction	NOUN
cana-1481	255	25	mappings	mapping	NOUN
cana-1481	255	26	with	with	ADP
cana-1481	255	27	0	0	NUM
cana-1481	255	28	-	-	PUNCT
cana-1481	255	29	boundedly	boundedly	ADV
cana-1481	255	30	compact	compact	ADJ
cana-1481	255	31	decompositions	decomposition	NOUN
cana-1481	255	32	.	.	PUNCT
cana-1481	256	1	j.	j.	PROPN
cana-1481	256	2	comput	comput	PROPN
cana-1481	256	3	.	.	PUNCT
cana-1481	257	1	anal	anal	PROPN
cana-1481	257	2	.	.	PUNCT
cana-1481	257	3	appl	appl	PROPN
cana-1481	257	4	.	.	PROPN
cana-1481	258	1	2013	2013	NUM
cana-1481	258	2	,	,	PUNCT
cana-1481	258	3	15	15	NUM
cana-1481	258	4	,	,	PUNCT
cana-1481	258	5	678–685	678–685	NUM
cana-1481	258	6	.	.	PUNCT
cana-1481	259	1	[	[	X
cana-1481	259	2	15	15	NUM
cana-1481	259	3	]	]	X
cana-1481	259	4	abdeljawad	abdeljawad	NOUN
cana-1481	259	5	,	,	PUNCT
cana-1481	259	6	t.	t.	PROPN
cana-1481	259	7	;	;	PUNCT
cana-1481	259	8	alzabut	alzabut	PROPN
cana-1481	259	9	,	,	PUNCT
cana-1481	259	10	j.	j.	PROPN
cana-1481	259	11	;	;	PUNCT
cana-1481	259	12	mukheimer	mukheimer	PROPN
cana-1481	259	13	,	,	PUNCT
cana-1481	259	14	a.	a.	NOUN
cana-1481	259	15	;	;	PUNCT
cana-1481	259	16	zaidan	zaidan	PROPN
cana-1481	259	17	,	,	PUNCT
cana-1481	259	18	y.	y.	PROPN
cana-1481	259	19	banach	banach	PROPN
cana-1481	259	20	contraction	contraction	NOUN
cana-1481	259	21	principle	principle	NOUN
cana-1481	259	22	for	for	ADP
cana-1481	259	23	cyclical	cyclical	ADJ
cana-1481	259	24	mappings	mapping	NOUN
cana-1481	259	25	on	on	ADP
cana-1481	259	26	partial	partial	ADJ
cana-1481	259	27	metric	metric	ADJ
cana-1481	259	28	spaces	space	NOUN
cana-1481	259	29	.	.	PUNCT
cana-1481	260	1	fixed	fix	VERB
cana-1481	260	2	point	point	NOUN
cana-1481	260	3	theory	theory	NOUN
cana-1481	260	4	appl	appl	PROPN
cana-1481	260	5	.	.	PROPN
cana-1481	260	6	2012	2012	NUM
cana-1481	260	7	,	,	PUNCT
cana-1481	260	8	154	154	NUM
cana-1481	260	9	,	,	PUNCT
cana-1481	260	10	1–7	1–7	X
cana-1481	260	11	.	.	PUNCT
cana-1481	261	1	[	[	X
cana-1481	261	2	16	16	NUM
cana-1481	261	3	]	]	X
cana-1481	261	4	shatanawi	shatanawi	PROPN
cana-1481	261	5	,	,	PUNCT
cana-1481	261	6	w.	w.	PROPN
cana-1481	261	7	;	;	PUNCT
cana-1481	261	8	al	al	PROPN
cana-1481	261	9	-	-	PUNCT
cana-1481	261	10	rawashdeh	rawashdeh	PROPN
cana-1481	261	11	,	,	PUNCT
cana-1481	261	12	a.	a.	PROPN
cana-1481	261	13	common	common	ADJ
cana-1481	261	14	fixed	fix	VERB
cana-1481	261	15	points	point	NOUN
cana-1481	261	16	of	of	ADP
cana-1481	261	17	almost	almost	ADV
cana-1481	261	18	generalized	generalize	VERB
cana-1481	261	19	(	(	PUNCT
cana-1481	261	20	ψ	ψ	NOUN
cana-1481	261	21	,	,	PUNCT
cana-1481	261	22	φ)-contractive	φ)-contractive	ADJ
cana-1481	261	23	mappings	mapping	NOUN
cana-1481	261	24	in	in	ADP
cana-1481	261	25	ordered	order	VERB
cana-1481	261	26	metric	metric	ADJ
cana-1481	261	27	spaces	space	NOUN
cana-1481	261	28	.	.	PUNCT
cana-1481	262	1	fixed	fix	VERB
cana-1481	262	2	point	point	NOUN
cana-1481	262	3	theory	theory	NOUN
cana-1481	262	4	appl	appl	PROPN
cana-1481	262	5	.	.	PROPN
cana-1481	263	1	2012	2012	NUM
cana-1481	263	2	,	,	PUNCT
cana-1481	263	3	80	80	NUM
cana-1481	263	4	,	,	PUNCT
cana-1481	263	5	1–14	1–14	PROPN
cana-1481	263	6	.	.	PUNCT
cana-1481	264	1	[	[	X
cana-1481	264	2	17	17	NUM
cana-1481	264	3	]	]	X
cana-1481	264	4	shatanawi	shatanawi	PROPN
cana-1481	264	5	,	,	PUNCT
cana-1481	264	6	w.	w.	PROPN
cana-1481	264	7	;	;	PUNCT
cana-1481	264	8	noorani	noorani	PROPN
cana-1481	264	9	,	,	PUNCT
cana-1481	264	10	ms	ms	PROPN
cana-1481	264	11	.	.	PROPN
cana-1481	264	12	;	;	PUNCT
cana-1481	264	13	alsamir	alsamir	PROPN
cana-1481	264	14	,	,	PUNCT
cana-1481	264	15	h.	h.	PROPN
cana-1481	264	16	;	;	PUNCT
cana-1481	264	17	bataihah	bataihah	PROPN
cana-1481	264	18	,	,	PUNCT
cana-1481	264	19	a.	a.	NOUN
cana-1481	264	20	fixed	fix	VERB
cana-1481	264	21	and	and	CCONJ
cana-1481	264	22	common	common	ADJ
cana-1481	264	23	fixed	fix	VERB
cana-1481	264	24	point	point	NOUN
cana-1481	264	25	theorems	theorem	NOUN
cana-1481	264	26	in	in	ADP
cana-1481	264	27	partially	partially	ADV
cana-1481	264	28	ordered	order	VERB
cana-1481	264	29	quasimetric	quasimetric	ADJ
cana-1481	264	30	spaces	space	NOUN
cana-1481	264	31	.	.	PUNCT
cana-1481	265	1	j.	j.	PROPN
cana-1481	265	2	math	math	PROPN
cana-1481	265	3	.	.	PUNCT
cana-1481	266	1	computer	computer	PROPN
cana-1481	266	2	sci	sci	PROPN
cana-1481	266	3	.	.	PROPN
cana-1481	266	4	2016	2016	NUM
cana-1481	266	5	,	,	PUNCT
cana-1481	266	6	16	16	NUM
cana-1481	266	7	,	,	PUNCT
cana-1481	266	8	516–528	516–528	NUM
cana-1481	266	9	.	.	PUNCT
cana-1481	267	1	[	[	X
cana-1481	267	2	18	18	NUM
cana-1481	267	3	]	]	X
cana-1481	267	4	shatanawi	shatanawi	NOUN
cana-1481	267	5	,	,	PUNCT
cana-1481	267	6	w.	w.	PROPN
cana-1481	267	7	;	;	PUNCT
cana-1481	267	8	mustafa	mustafa	PROPN
cana-1481	267	9	,	,	PUNCT
cana-1481	267	10	z.	z.	PROPN
cana-1481	267	11	;	;	PUNCT
cana-1481	267	12	tahat	tahat	PROPN
cana-1481	267	13	,	,	PUNCT
cana-1481	267	14	n.	n.	VERB
cana-1481	267	15	some	some	DET
cana-1481	267	16	coincidence	coincidence	NOUN
cana-1481	267	17	point	point	NOUN
cana-1481	267	18	theorems	theorem	NOUN
cana-1481	267	19	for	for	ADP
cana-1481	267	20	nonlinear	nonlinear	ADJ
cana-1481	267	21	contraction	contraction	NOUN
cana-1481	267	22	in	in	ADP
cana-1481	267	23	ordered	order	VERB
cana-1481	267	24	metric	metric	ADJ
cana-1481	267	25	spaces	space	NOUN
cana-1481	267	26	.	.	PUNCT
cana-1481	268	1	fixed	fix	VERB
cana-1481	268	2	point	point	NOUN
cana-1481	268	3	theory	theory	NOUN
cana-1481	268	4	appl	appl	NOUN
cana-1481	268	5	.	.	PUNCT
cana-1481	269	1	2011	2011	NUM
cana-1481	269	2	,	,	PUNCT
cana-1481	269	3	68	68	NUM
cana-1481	269	4	,	,	PUNCT
cana-1481	269	5	1–15	1–15	NUM
cana-1481	269	6	.	.	PUNCT
cana-1481	270	1	[	[	X
cana-1481	270	2	19	19	NUM
cana-1481	270	3	]	]	X
cana-1481	270	4	shatanawi	shatanawi	NOUN
cana-1481	270	5	,	,	PUNCT
cana-1481	270	6	w.	w.	PROPN
cana-1481	270	7	;	;	PUNCT
cana-1481	270	8	samet	samet	PROPN
cana-1481	270	9	,	,	PUNCT
cana-1481	270	10	b.	b.	PROPN
cana-1481	270	11	on	on	ADP
cana-1481	270	12	(	(	PUNCT
cana-1481	270	13	ψ	ψ	NOUN
cana-1481	270	14	,	,	PUNCT
cana-1481	270	15	φ)-weakly	φ)-weakly	VERB
cana-1481	270	16	contractive	contractive	ADJ
cana-1481	270	17	condition	condition	NOUN
cana-1481	270	18	in	in	ADP
cana-1481	270	19	partially	partially	ADV
cana-1481	270	20	ordered	order	VERB
cana-1481	270	21	metric	metric	ADJ
cana-1481	270	22	spaces	space	NOUN
cana-1481	270	23	.	.	PUNCT
cana-1481	271	1	comput	comput	NOUN
cana-1481	271	2	.	.	PUNCT
cana-1481	272	1	math	math	NOUN
cana-1481	272	2	.	.	PUNCT
cana-1481	273	1	appl	appl	PROPN
cana-1481	273	2	.	.	PUNCT
cana-1481	274	1	2011	2011	NUM
cana-1481	274	2	,	,	PUNCT
cana-1481	274	3	62	62	NUM
cana-1481	274	4	,	,	PUNCT
cana-1481	274	5	3204–3214	3204–3214	NUM
cana-1481	274	6	.	.	PUNCT
cana-1481	275	1	[	[	X
cana-1481	275	2	20	20	NUM
cana-1481	275	3	]	]	X
cana-1481	275	4	shatanawi	shatanawi	NOUN
cana-1481	275	5	,	,	PUNCT
cana-1481	275	6	w.	w.	PROPN
cana-1481	275	7	fixed	fix	VERB
cana-1481	275	8	and	and	CCONJ
cana-1481	275	9	common	common	ADJ
cana-1481	275	10	fixed	fix	VERB
cana-1481	275	11	point	point	NOUN
cana-1481	275	12	theorems	theorem	NOUN
cana-1481	275	13	in	in	ADP
cana-1481	275	14	frame	frame	NOUN
cana-1481	275	15	of	of	ADP
cana-1481	275	16	quasi	quasi	ADJ
cana-1481	275	17	metric	metric	ADJ
cana-1481	275	18	spaces	space	NOUN
cana-1481	275	19	under	under	ADP
cana-1481	275	20	contraction	contraction	NOUN
cana-1481	275	21	condition	condition	NOUN
cana-1481	275	22	based	base	VERB
cana-1481	275	23	on	on	ADP
cana-1481	275	24	ultra	ultra	ADJ
cana-1481	275	25	distance	distance	NOUN
cana-1481	275	26	functions	function	NOUN
cana-1481	275	27	.	.	PUNCT
cana-1481	276	1	nonlinear	nonlinear	ADJ
cana-1481	276	2	anal	anal	PROPN
cana-1481	276	3	.	.	PUNCT
cana-1481	276	4	model	model	PROPN
cana-1481	276	5	.	.	PUNCT
cana-1481	277	1	control	control	PROPN
cana-1481	277	2	2018	2018	NUM
cana-1481	277	3	,	,	PUNCT
cana-1481	277	4	23	23	NUM
cana-1481	277	5	,	,	PUNCT
cana-1481	277	6	724–748	724–748	NUM
cana-1481	277	7	.	.	PUNCT
cana-1481	278	1	[	[	X
cana-1481	278	2	21	21	NUM
cana-1481	278	3	]	]	X
cana-1481	278	4	abodayeh	abodayeh	NOUN
cana-1481	278	5	,	,	PUNCT
cana-1481	278	6	k.	k.	PROPN
cana-1481	278	7	;	;	PUNCT
cana-1481	278	8	shatanawi	shatanawi	PROPN
cana-1481	278	9	,	,	PUNCT
cana-1481	278	10	w.	w.	PROPN
cana-1481	278	11	;	;	PUNCT
cana-1481	278	12	bataihah	bataihah	PROPN
cana-1481	278	13	,	,	PUNCT
cana-1481	278	14	a.	a.	NOUN
cana-1481	278	15	;	;	PUNCT
cana-1481	278	16	ansari	ansari	X
cana-1481	278	17	,	,	PUNCT
cana-1481	278	18	ah	ah	INTJ
cana-1481	278	19	.	.	PUNCT
cana-1481	278	20	;	;	PUNCT
cana-1481	278	21	some	some	DET
cana-1481	278	22	fixed	fix	VERB
cana-1481	278	23	point	point	NOUN
cana-1481	278	24	and	and	CCONJ
cana-1481	278	25	common	common	ADJ
cana-1481	278	26	fixed	fix	VERB
cana-1481	278	27	point	point	NOUN
cana-1481	278	28	results	result	NOUN
cana-1481	278	29	through	through	ADP
cana-1481	278	30	ω	ω	NOUN
cana-1481	278	31	-	-	PUNCT
cana-1481	278	32	distance	distance	NOUN
cana-1481	278	33	under	under	ADP
cana-1481	278	34	nonlinear	nonlinear	ADJ
cana-1481	278	35	contractions	contraction	NOUN
cana-1481	278	36	.	.	PUNCT
cana-1481	279	1	gu	gu	PROPN
cana-1481	279	2	j.	j.	PROPN
cana-1481	279	3	sci	sci	PROPN
cana-1481	279	4	.	.	PROPN
cana-1481	279	5	2017	2017	NUM
cana-1481	279	6	,	,	PUNCT
cana-1481	279	7	30	30	NUM
cana-1481	279	8	,	,	PUNCT
cana-1481	279	9	293–302	293–302	NUM
cana-1481	279	10	.	.	PUNCT
cana-1481	280	1	[	[	X
cana-1481	280	2	22	22	NUM
cana-1481	280	3	]	]	PUNCT
cana-1481	280	4	samet	samet	PROPN
cana-1481	280	5	,	,	PUNCT
cana-1481	280	6	b.	b.	PROPN
cana-1481	280	7	;	;	PUNCT
cana-1481	280	8	vetro	vetro	PROPN
cana-1481	280	9	,	,	PUNCT
cana-1481	280	10	c.	c.	NOUN
cana-1481	280	11	;	;	PUNCT
cana-1481	280	12	vetro	vetro	PROPN
cana-1481	280	13	,	,	PUNCT
cana-1481	280	14	p.	p.	PROPN
cana-1481	280	15	fixed	fix	VERB
cana-1481	280	16	point	point	NOUN
cana-1481	280	17	theorems	theorem	NOUN
cana-1481	280	18	for	for	ADP
cana-1481	280	19	a	a	DET
cana-1481	280	20	α	α	NOUN
cana-1481	280	21	-	-	PUNCT
cana-1481	280	22	ψ	ψ	NOUN
cana-1481	280	23	-	-	ADJ
cana-1481	280	24	contractive	contractive	ADJ
cana-1481	280	25	type	type	NOUN
cana-1481	280	26	mappings	mapping	NOUN
cana-1481	280	27	.	.	PUNCT
cana-1481	281	1	nonlinear	nonlinear	ADJ
cana-1481	281	2	anal	anal	NOUN
cana-1481	281	3	.	.	PUNCT
cana-1481	282	1	2012	2012	NUM
cana-1481	282	2	,	,	PUNCT
cana-1481	282	3	75	75	NUM
cana-1481	282	4	,	,	PUNCT
cana-1481	282	5	2154–2165	2154–2165	NUM
cana-1481	282	6	.	.	PUNCT
cana-1481	283	1	[	[	X
cana-1481	283	2	23	23	NUM
cana-1481	283	3	]	]	X
cana-1481	283	4	karapınar	karapınar	PROPN
cana-1481	283	5	,	,	PUNCT
cana-1481	283	6	e.	e.	PROPN
cana-1481	283	7	;	;	PUNCT
cana-1481	283	8	kumam	kumam	PROPN
cana-1481	283	9	p.	p.	PROPN
cana-1481	283	10	;	;	PUNCT
cana-1481	283	11	salimi	salimi	PROPN
cana-1481	283	12	,	,	PUNCT
cana-1481	283	13	p.	p.	NOUN
cana-1481	283	14	on	on	ADP
cana-1481	283	15	α	α	PROPN
cana-1481	283	16	-	-	PUNCT
cana-1481	283	17	ψ	ψ	NOUN
cana-1481	283	18	-	-	ADJ
cana-1481	283	19	meir	meir	ADJ
cana-1481	283	20	-	-	ADJ
cana-1481	283	21	keeler	keeler	PROPN
cana-1481	283	22	contractive	contractive	ADJ
cana-1481	283	23	mappings	mapping	NOUN
cana-1481	283	24	.	.	PUNCT
cana-1481	284	1	fixed	fix	VERB
cana-1481	284	2	point	point	NOUN
cana-1481	284	3	theory	theory	NOUN
cana-1481	284	4	appl	appl	NOUN
cana-1481	284	5	.	.	PUNCT
cana-1481	285	1	2013	2013	NUM
cana-1481	285	2	,	,	PUNCT
cana-1481	285	3	94	94	NUM
cana-1481	285	4	,	,	PUNCT
cana-1481	285	5	1–13	1–13	NOUN
cana-1481	285	6	.	.	PUNCT
cana-1481	286	1	[	[	X
cana-1481	286	2	24	24	NUM
cana-1481	286	3	]	]	PUNCT
cana-1481	286	4	abdeljawad	abdeljawad	NOUN
cana-1481	286	5	,	,	PUNCT
cana-1481	286	6	t.	t.	PROPN
cana-1481	286	7	meir	meir	PROPN
cana-1481	286	8	-	-	PROPN
cana-1481	286	9	keeler	keeler	PROPN
cana-1481	286	10	α	α	PROPN
cana-1481	286	11	-	-	ADJ
cana-1481	286	12	contractive	contractive	ADJ
cana-1481	286	13	fixed	fix	VERB
cana-1481	286	14	and	and	CCONJ
cana-1481	286	15	common	common	ADJ
cana-1481	286	16	fixed	fix	VERB
cana-1481	286	17	point	point	NOUN
cana-1481	286	18	theorems	theorem	NOUN
cana-1481	286	19	.	.	PUNCT
cana-1481	286	20	fixed	fix	VERB
cana-1481	286	21	point	point	NOUN
cana-1481	286	22	theory	theory	NOUN
cana-1481	286	23	appl	appl	NOUN
cana-1481	286	24	.	.	PUNCT
cana-1481	287	1	2013	2013	NUM
cana-1481	287	2	,	,	PUNCT
cana-1481	287	3	19	19	NUM
cana-1481	287	4	,	,	PUNCT
cana-1481	287	5	1–10	1–10	NOUN
cana-1481	287	6	.	.	PUNCT
cana-1481	288	1	[	[	X
cana-1481	288	2	25	25	NUM
cana-1481	288	3	]	]	X
cana-1481	288	4	al	al	PROPN
cana-1481	288	5	-	-	PUNCT
cana-1481	288	6	rawashdeha	rawashdeha	PROPN
cana-1481	288	7	,	,	PUNCT
cana-1481	288	8	a.	a.	NOUN
cana-1481	288	9	;	;	PUNCT
cana-1481	288	10	aydi	aydi	VERB
cana-1481	288	11	,	,	PUNCT
cana-1481	288	12	h.	h.	PROPN
cana-1481	288	13	;	;	PUNCT
cana-1481	288	14	abdelbasset	abdelbasset	PROPN
cana-1481	288	15	,	,	PUNCT
cana-1481	288	16	f.	f.	PROPN
cana-1481	288	17	;	;	PUNCT
cana-1481	288	18	sahmim	sahmim	PROPN
cana-1481	288	19	,	,	PUNCT
cana-1481	288	20	s.	s.	PROPN
cana-1481	288	21	;	;	PUNCT
cana-1481	288	22	shatanawi	shatanawi	PROPN
cana-1481	288	23	,	,	PUNCT
cana-1481	288	24	w.	w.	NOUN
cana-1481	288	25	on	on	ADP
cana-1481	288	26	common	common	ADJ
cana-1481	288	27	fixed	fix	VERB
cana-1481	288	28	points	point	NOUN
cana-1481	288	29	for	for	ADP
cana-1481	288	30	α	α	NOUN
cana-1481	288	31	-	-	PUNCT
cana-1481	288	32	fcontractions	fcontraction	NOUN
cana-1481	288	33	and	and	CCONJ
cana-1481	288	34	applications	application	NOUN
cana-1481	288	35	.	.	PUNCT
cana-1481	289	1	j.	j.	PROPN
cana-1481	289	2	nonlinear	nonlinear	PROPN
cana-1481	289	3	sci	sci	PROPN
cana-1481	289	4	.	.	PUNCT
cana-1481	289	5	appl	appl	PROPN
cana-1481	289	6	.	.	PROPN
cana-1481	289	7	2016	2016	NUM
cana-1481	289	8	,	,	PUNCT
cana-1481	289	9	9	9	NUM
cana-1481	289	10	,	,	PUNCT
cana-1481	289	11	3445–3458	3445–3458	NUM
cana-1481	289	12	.	.	PUNCT
cana-1481	290	1	communications	communication	NOUN
cana-1481	290	2	on	on	ADP
cana-1481	290	3	applied	apply	VERB
cana-1481	290	4	nonlinear	nonlinear	ADJ
cana-1481	290	5	analysis	analysis	NOUN
cana-1481	290	6	issn	issn	NOUN
cana-1481	290	7	:	:	PUNCT
cana-1481	290	8	1074	1074	NUM
cana-1481	290	9	-	-	PUNCT
cana-1481	290	10	133x	133x	NUM
cana-1481	290	11	vol	vol	NOUN
cana-1481	290	12	31	31	NUM
cana-1481	290	13	no	no	NOUN
cana-1481	290	14	.	.	PUNCT
cana-1481	291	1	8s	8s	PROPN
cana-1481	291	2	(	(	PUNCT
cana-1481	291	3	2024	2024	NUM
cana-1481	291	4	)	)	PUNCT
cana-1481	291	5	271	271	NUM
cana-1481	291	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1481	292	1	[	[	X
cana-1481	292	2	26	26	NUM
cana-1481	292	3	]	]	X
cana-1481	292	4	ansari	ansari	X
cana-1481	292	5	,	,	PUNCT
cana-1481	292	6	ah	ah	INTJ
cana-1481	292	7	.	.	PUNCT
cana-1481	292	8	;	;	PUNCT
cana-1481	292	9	kaewcharoen	kaewcharoen	PROPN
cana-1481	292	10	,	,	PUNCT
cana-1481	292	11	j.	j.	PROPN
cana-1481	292	12	c	c	PROPN
cana-1481	292	13	-	-	PUNCT
cana-1481	292	14	class	class	NOUN
cana-1481	292	15	functions	function	NOUN
cana-1481	292	16	and	and	CCONJ
cana-1481	292	17	fixed	fix	VERB
cana-1481	292	18	point	point	NOUN
cana-1481	292	19	theorems	theorem	NOUN
cana-1481	292	20	for	for	ADP
cana-1481	292	21	generalized	generalized	ADJ
cana-1481	292	22	α	α	PROPN
cana-1481	292	23	-	-	PUNCT
cana-1481	292	24	η	η	NOUN
cana-1481	292	25	-	-	PUNCT
cana-1481	292	26	ψ-ϕ-f	ψ-ϕ-f	ADJ
cana-1481	292	27	-	-	PUNCT
cana-1481	292	28	contraction	contraction	NOUN
cana-1481	292	29	type	type	NOUN
cana-1481	292	30	mapping	mapping	NOUN
cana-1481	292	31	in	in	ADP
cana-1481	292	32	α	α	PROPN
cana-1481	292	33	-	-	PUNCT
cana-1481	292	34	η	η	ADJ
cana-1481	292	35	-	-	ADJ
cana-1481	292	36	complete	complete	ADJ
cana-1481	292	37	metric	metric	ADJ
cana-1481	292	38	space	space	NOUN
cana-1481	292	39	.	.	PUNCT
cana-1481	293	1	nonlinear	nonlinear	PROPN
cana-1481	293	2	sci	sci	PROPN
cana-1481	293	3	.	.	PUNCT
cana-1481	293	4	appl	appl	PROPN
cana-1481	293	5	.	.	PROPN
cana-1481	294	1	2016	2016	NUM
cana-1481	294	2	,	,	PUNCT
cana-1481	294	3	9	9	NUM
cana-1481	294	4	,	,	PUNCT
cana-1481	294	5	4177–4190	4177–4190	NUM
cana-1481	294	6	.	.	PUNCT
cana-1481	295	1	[	[	X
cana-1481	295	2	27	27	NUM
cana-1481	295	3	]	]	X
cana-1481	295	4	shatanawi	shatanawi	PROPN
cana-1481	295	5	,	,	PUNCT
cana-1481	295	6	w.	w.	PROPN
cana-1481	295	7	;	;	PUNCT
cana-1481	295	8	abodayeh	abodayeh	PROPN
cana-1481	295	9	,	,	PUNCT
cana-1481	295	10	k.	k.	PROPN
cana-1481	295	11	common	common	ADJ
cana-1481	295	12	fixed	fix	VERB
cana-1481	295	13	point	point	NOUN
cana-1481	295	14	for	for	ADP
cana-1481	295	15	mapping	mapping	NOUN
cana-1481	295	16	under	under	ADP
cana-1481	295	17	contractive	contractive	ADJ
cana-1481	295	18	condition	condition	NOUN
cana-1481	295	19	based	base	VERB
cana-1481	295	20	on	on	ADP
cana-1481	295	21	almost	almost	ADV
cana-1481	295	22	perfect	perfect	ADJ
cana-1481	295	23	functions	function	NOUN
cana-1481	295	24	and	and	CCONJ
cana-1481	295	25	α	α	NOUN
cana-1481	295	26	-	-	NOUN
cana-1481	295	27	admissibility	admissibility	NOUN
cana-1481	295	28	.	.	PUNCT
cana-1481	296	1	nonlinear	nonlinear	ADJ
cana-1481	296	2	funct	funct	NOUN
cana-1481	296	3	.	.	PUNCT
cana-1481	297	1	anal	anal	PROPN
cana-1481	297	2	.	.	PUNCT
cana-1481	297	3	appl	appl	PROPN
cana-1481	297	4	.	.	PROPN
cana-1481	298	1	2018	2018	NUM
cana-1481	298	2	,	,	PUNCT
cana-1481	298	3	23	23	NUM
cana-1481	298	4	,	,	PUNCT
cana-1481	298	5	247–257	247–257	NUM
cana-1481	298	6	.	.	PUNCT
cana-1481	299	1	[	[	X
cana-1481	299	2	28	28	NUM
cana-1481	299	3	]	]	X
cana-1481	299	4	hussain	hussain	PROPN
cana-1481	299	5	,	,	PUNCT
cana-1481	299	6	n.	n.	NOUN
cana-1481	299	7	;	;	PUNCT
cana-1481	299	8	arshad	arshad	ADJ
cana-1481	299	9	,	,	PUNCT
cana-1481	299	10	m.	m.	NOUN
cana-1481	299	11	;	;	PUNCT
cana-1481	299	12	shoaib	shoaib	PROPN
cana-1481	299	13	,	,	PUNCT
cana-1481	299	14	a.	a.	PROPN
cana-1481	299	15	common	common	ADJ
cana-1481	299	16	fixed	fix	VERB
cana-1481	299	17	point	point	NOUN
cana-1481	299	18	results	result	NOUN
cana-1481	299	19	for	for	ADP
cana-1481	299	20	α	α	NOUN
cana-1481	299	21	-	-	PUNCT
cana-1481	299	22	ψ	ψ	NOUN
cana-1481	299	23	-	-	NOUN
cana-1481	299	24	contractions	contraction	NOUN
cana-1481	299	25	on	on	ADP
cana-1481	299	26	a	a	DET
cana-1481	299	27	metric	metric	ADJ
cana-1481	299	28	space	space	NOUN
cana-1481	299	29	endowed	endow	VERB
cana-1481	299	30	with	with	ADP
cana-1481	299	31	graph	graph	NOUN
cana-1481	299	32	.	.	PUNCT
cana-1481	300	1	j.	j.	PROPN
cana-1481	300	2	inequal	inequal	PROPN
cana-1481	300	3	.	.	PUNCT
cana-1481	301	1	appl	appl	PROPN
cana-1481	301	2	.	.	PROPN
cana-1481	301	3	2014	2014	NUM
cana-1481	301	4	,	,	PUNCT
cana-1481	301	5	136	136	NUM
cana-1481	301	6	,	,	PUNCT
cana-1481	301	7	1–14	1–14	PROPN
cana-1481	301	8	.	.	PUNCT
cana-1481	302	1	[	[	X
cana-1481	302	2	29	29	NUM
cana-1481	302	3	]	]	X
cana-1481	302	4	hussain	hussain	PROPN
cana-1481	302	5	,	,	PUNCT
cana-1481	302	6	n.	n.	NOUN
cana-1481	302	7	;	;	PUNCT
cana-1481	302	8	salimi	salimi	PROPN
cana-1481	302	9	,	,	PUNCT
cana-1481	302	10	p.	p.	PROPN
cana-1481	302	11	;	;	PUNCT
cana-1481	302	12	latif	latif	PROPN
cana-1481	302	13	,	,	PUNCT
cana-1481	302	14	a.	a.	PROPN
cana-1481	302	15	fixed	fix	VERB
cana-1481	302	16	point	point	NOUN
cana-1481	302	17	results	result	NOUN
cana-1481	302	18	for	for	ADP
cana-1481	302	19	single	single	ADJ
cana-1481	302	20	and	and	CCONJ
cana-1481	302	21	set	set	NOUN
cana-1481	302	22	-	-	PUNCT
cana-1481	302	23	valued	value	VERB
cana-1481	302	24	a	a	DET
cana-1481	302	25	α	α	PROPN
cana-1481	302	26	-	-	PUNCT
cana-1481	302	27	η	η	ADJ
cana-1481	302	28	-	-	ADJ
cana-1481	302	29	ψcontractive	ψcontractive	ADJ
cana-1481	302	30	mappings	mapping	NOUN
cana-1481	302	31	.	.	PUNCT
cana-1481	303	1	fixed	fix	VERB
cana-1481	303	2	point	point	NOUN
cana-1481	303	3	theory	theory	NOUN
cana-1481	303	4	appl	appl	NOUN
cana-1481	303	5	.	.	PUNCT
cana-1481	304	1	2013	2013	NUM
cana-1481	304	2	,	,	PUNCT
cana-1481	304	3	212	212	NUM
cana-1481	304	4	,	,	PUNCT
cana-1481	304	5	1–23	1–23	NOUN
cana-1481	304	6	.	.	PUNCT
cana-1481	305	1	[	[	X
cana-1481	305	2	30	30	NUM
cana-1481	305	3	]	]	X
cana-1481	305	4	hussain	hussain	PROPN
cana-1481	305	5	,	,	PUNCT
cana-1481	305	6	n.	n.	NOUN
cana-1481	305	7	;	;	PUNCT
cana-1481	305	8	kutbi	kutbi	PROPN
cana-1481	305	9	,	,	PUNCT
cana-1481	305	10	ma	ma	PROPN
cana-1481	305	11	.	.	PROPN
cana-1481	305	12	;	;	PUNCT
cana-1481	305	13	salimi	salimi	PROPN
cana-1481	305	14	,	,	PUNCT
cana-1481	305	15	p.	p.	PROPN
cana-1481	305	16	fixed	fix	VERB
cana-1481	305	17	point	point	NOUN
cana-1481	305	18	theory	theory	NOUN
cana-1481	305	19	in	in	ADP
cana-1481	305	20	α	α	NOUN
cana-1481	305	21	-	-	ADJ
cana-1481	305	22	complete	complete	ADJ
cana-1481	305	23	metric	metric	ADJ
cana-1481	305	24	spaces	space	NOUN
cana-1481	305	25	with	with	ADP
cana-1481	305	26	applications	application	NOUN
cana-1481	305	27	.	.	PUNCT
cana-1481	306	1	abstr	abstr	PROPN
cana-1481	306	2	.	.	PUNCT
cana-1481	306	3	appl	appl	PROPN
cana-1481	306	4	.	.	PUNCT
cana-1481	307	1	anal	anal	PROPN
cana-1481	307	2	.	.	PUNCT
cana-1481	308	1	2014	2014	NUM
cana-1481	308	2	.	.	PUNCT
cana-1481	309	1	[	[	X
cana-1481	309	2	31	31	NUM
cana-1481	309	3	]	]	X
cana-1481	309	4	salimi	salimi	PROPN
cana-1481	309	5	,	,	PUNCT
cana-1481	309	6	p.	p.	PROPN
cana-1481	309	7	;	;	PUNCT
cana-1481	309	8	latif	latif	PROPN
cana-1481	309	9	,	,	PUNCT
cana-1481	309	10	a.	a.	PROPN
cana-1481	309	11	;	;	PUNCT
cana-1481	309	12	hussain	hussain	PROPN
cana-1481	309	13	,	,	PUNCT
cana-1481	309	14	n.	n.	PROPN
cana-1481	309	15	modified	modify	VERB
cana-1481	309	16	a	a	DET
cana-1481	309	17	α	α	NUM
cana-1481	309	18	-	-	PUNCT
cana-1481	309	19	ψ	ψ	NOUN
cana-1481	309	20	-	-	ADJ
cana-1481	309	21	contractive	contractive	ADJ
cana-1481	309	22	mappings	mapping	NOUN
cana-1481	309	23	with	with	ADP
cana-1481	309	24	applications	application	NOUN
cana-1481	309	25	.	.	PUNCT
cana-1481	310	1	fixed	fix	VERB
cana-1481	310	2	point	point	NOUN
cana-1481	310	3	theory	theory	NOUN
cana-1481	310	4	appl	appl	NOUN
cana-1481	310	5	.	.	PUNCT
cana-1481	311	1	2013	2013	NUM
cana-1481	311	2	,	,	PUNCT
cana-1481	311	3	151	151	NUM
cana-1481	311	4	,	,	PUNCT
cana-1481	311	5	1–19	1–19	NOUN
cana-1481	311	6	.	.	PUNCT
cana-1481	312	1	[	[	X
cana-1481	312	2	32	32	NUM
cana-1481	312	3	]	]	PUNCT
cana-1481	312	4	srinivas	srinivas	PROPN
cana-1481	312	5	chary	chary	PROPN
cana-1481	312	6	,	,	PUNCT
cana-1481	312	7	v.	v.	PROPN
cana-1481	312	8	;	;	PUNCT
cana-1481	312	9	sudhaamsh	sudhaamsh	PROPN
cana-1481	312	10	mohan	mohan	PROPN
cana-1481	312	11	reddy	reddy	PROPN
cana-1481	312	12	,	,	PUNCT
cana-1481	312	13	g.	g.	PROPN
cana-1481	312	14	;	;	PUNCT
cana-1481	312	15	srinivasa	srinivasa	PROPN
cana-1481	312	16	chary	chary	PROPN
cana-1481	312	17	,	,	PUNCT
cana-1481	312	18	d.	d.	PROPN
cana-1481	312	19	;	;	PUNCT
cana-1481	312	20	hseyin	hseyin	PROPN
cana-1481	312	21	isik	isik	PROPN
cana-1481	312	22	and	and	CCONJ
cana-1481	312	23	aydi	aydi	VERB
cana-1481	312	24	hassen	hassen	NOUN
cana-1481	312	25	,	,	PUNCT
cana-1481	312	26	some	some	DET
cana-1481	312	27	fixed	fix	VERB
cana-1481	312	28	point	point	NOUN
cana-1481	312	29	theorems	theorem	NOUN
cana-1481	312	30	for	for	ADP
cana-1481	312	31	modified	modified	ADJ
cana-1481	312	32	js	js	ADJ
cana-1481	312	33	-	-	PUNCT
cana-1481	312	34	g	g	NOUN
cana-1481	312	35	-	-	PUNCT
cana-1481	312	36	contractions	contraction	NOUN
cana-1481	312	37	and	and	CCONJ
cana-1481	312	38	an	an	DET
cana-1481	312	39	application	application	NOUN
cana-1481	312	40	to	to	ADP
cana-1481	312	41	integral	integral	ADJ
cana-1481	312	42	equation	equation	NOUN
cana-1481	312	43	,	,	PUNCT
cana-1481	312	44	journal	journal	NOUN
cana-1481	312	45	of	of	ADP
cana-1481	312	46	applied	apply	VERB
cana-1481	312	47	mathematics	mathematic	NOUN
cana-1481	312	48	and	and	CCONJ
cana-1481	312	49	informatics	informatic	NOUN
cana-1481	312	50	.	.	PUNCT
cana-1481	313	1	38	38	NUM
cana-1481	313	2	,	,	PUNCT
cana-1481	313	3	no	no	INTJ
cana-1481	313	4	.	.	NOUN
cana-1481	313	5	5	5	NUM
cana-1481	313	6	-	-	SYM
cana-1481	313	7	6	6	NUM
cana-1481	313	8	,	,	PUNCT
cana-1481	313	9	507	507	NUM
cana-1481	313	10	-	-	SYM
cana-1481	313	11	518	518	NUM
cana-1481	313	12	,	,	PUNCT
cana-1481	313	13	2020	2020	NUM
cana-1481	313	14	.	.	PUNCT
cana-1481	314	1	[	[	X
cana-1481	314	2	33	33	NUM
cana-1481	314	3	]	]	PUNCT
cana-1481	314	4	srinivas	srinivas	PROPN
cana-1481	314	5	chary	chary	PROPN
cana-1481	314	6	,	,	PUNCT
cana-1481	314	7	v.	v.	PROPN
cana-1481	314	8	;	;	PUNCT
cana-1481	314	9	sudhaamsh	sudhaamsh	PROPN
cana-1481	314	10	mohan	mohan	PROPN
cana-1481	314	11	reddy	reddy	PROPN
cana-1481	314	12	,	,	PUNCT
cana-1481	314	13	g.	g.	PROPN
cana-1481	314	14	;	;	PUNCT
cana-1481	314	15	srinivasa	srinivasa	PROPN
cana-1481	314	16	chary	chary	PROPN
cana-1481	314	17	,	,	PUNCT
cana-1481	314	18	d.	d.	PROPN
cana-1481	314	19	;	;	PUNCT
cana-1481	314	20	hseyin	hseyin	PROPN
cana-1481	314	21	isik	isik	PROPN
cana-1481	314	22	and	and	CCONJ
cana-1481	314	23	aydi	aydi	VERB
cana-1481	314	24	hassen	hassen	NOUN
cana-1481	314	25	,	,	PUNCT
cana-1481	314	26	some	some	DET
cana-1481	314	27	fixed	fix	VERB
cana-1481	314	28	point	point	NOUN
cana-1481	314	29	theorems	theorem	NOUN
cana-1481	314	30	on	on	ADP
cana-1481	314	31	α−β	α−β	PROPN
cana-1481	314	32	-	-	PUNCT
cana-1481	314	33	g	g	NOUN
cana-1481	314	34	-	-	PUNCT
cana-1481	314	35	complete	complete	ADJ
cana-1481	314	36	g	g	NOUN
cana-1481	314	37	-	-	PUNCT
cana-1481	314	38	metric	metric	ADJ
cana-1481	314	39	spaces	space	NOUN
cana-1481	314	40	,	,	PUNCT
cana-1481	314	41	carpathian	carpathian	ADJ
cana-1481	314	42	mathematical	mathematical	ADJ
cana-1481	314	43	publications	publication	NOUN
cana-1481	314	44	.	.	PUNCT
cana-1481	314	45	2021	2021	NUM
cana-1481	314	46	,	,	PUNCT
cana-1481	314	47	13	13	NUM
cana-1481	314	48	,	,	PUNCT
cana-1481	314	49	1	1	NUM
cana-1481	314	50	,	,	PUNCT
cana-1481	314	51	58–67	58–67	NUM
cana-1481	314	52	.	.	PUNCT
cana-1481	315	1	[	[	X
cana-1481	315	2	34	34	NUM
cana-1481	315	3	]	]	X
cana-1481	315	4	srinivas	srinivas	PROPN
cana-1481	315	5	chary	chary	PROPN
cana-1481	315	6	,	,	PUNCT
cana-1481	315	7	v.	v.	PROPN
cana-1481	315	8	;	;	PUNCT
cana-1481	315	9	sudhaamsh	sudhaamsh	PROPN
cana-1481	315	10	mohan	mohan	PROPN
cana-1481	315	11	reddy	reddy	PROPN
cana-1481	315	12	,	,	PUNCT
cana-1481	315	13	g.	g.	PROPN
cana-1481	315	14	;	;	PUNCT
cana-1481	315	15	srinivasa	srinivasa	PROPN
cana-1481	315	16	chary	chary	PROPN
cana-1481	315	17	,	,	PUNCT
cana-1481	315	18	d.	d.	PROPN
cana-1481	315	19	;	;	PUNCT
cana-1481	315	20	stojan	stojan	ADP
cana-1481	315	21	radenovic	radenovic	PROPN
cana-1481	315	22	,	,	PUNCT
cana-1481	315	23	slobodanka	slobodanka	NOUN
cana-1481	315	24	mitrovic	mitrovic	NOUN
cana-1481	315	25	,	,	PUNCT
cana-1481	315	26	coupled	couple	VERB
cana-1481	315	27	fixed	fix	VERB
cana-1481	315	28	point	point	NOUN
cana-1481	315	29	theorems	theorem	NOUN
cana-1481	315	30	of	of	ADP
cana-1481	315	31	js	js	ADJ
cana-1481	315	32	-	-	PUNCT
cana-1481	315	33	g	g	NOUN
cana-1481	315	34	-	-	PUNCT
cana-1481	315	35	contraction	contraction	NOUN
cana-1481	315	36	on	on	ADP
cana-1481	315	37	g	g	NOUN
cana-1481	315	38	-	-	PUNCT
cana-1481	315	39	metric	metric	ADJ
cana-1481	315	40	spaces	space	NOUN
cana-1481	315	41	,	,	PUNCT
cana-1481	315	42	boletim	boletim	PROPN
cana-1481	315	43	da	da	PROPN
cana-1481	315	44	sociedade	sociedade	PROPN
cana-1481	315	45	paranaense	paranaense	PROPN
cana-1481	315	46	de	de	PROPN
cana-1481	315	47	matematica	matematica	PROPN
cana-1481	315	48	,	,	PUNCT
cana-1481	315	49	2023	2023	NUM
cana-1481	315	50	,	,	PUNCT
cana-1481	315	51	41	41	NUM
cana-1481	315	52	,	,	PUNCT
cana-1481	315	53	1–10	1–10	NOUN
cana-1481	315	54	.	.	PUNCT
cana-1481	316	1	[	[	X
cana-1481	316	2	35	35	NUM
cana-1481	316	3	]	]	X
cana-1481	316	4	srinivas	srinivas	PROPN
cana-1481	316	5	chary	chary	PROPN
cana-1481	316	6	,	,	PUNCT
cana-1481	316	7	v.	v.	PROPN
cana-1481	316	8	;	;	PUNCT
cana-1481	316	9	sudhaamsh	sudhaamsh	PROPN
cana-1481	316	10	mohan	mohan	PROPN
cana-1481	316	11	reddy	reddy	PROPN
cana-1481	316	12	,	,	PUNCT
cana-1481	316	13	g.	g.	PROPN
cana-1481	316	14	;	;	PUNCT
cana-1481	316	15	srinivasa	srinivasa	PROPN
cana-1481	316	16	chary	chary	PROPN
cana-1481	316	17	,	,	PUNCT
cana-1481	316	18	d.;stojan	d.;stojan	NOUN
cana-1481	316	19	radenovic	radenovic	NOUN
cana-1481	316	20	,	,	PUNCT
cana-1481	316	21	existence	existence	NOUN
cana-1481	316	22	of	of	ADP
cana-1481	316	23	fixed	fix	VERB
cana-1481	316	24	points	point	NOUN
cana-1481	316	25	in	in	ADP
cana-1481	316	26	g	g	NOUN
cana-1481	316	27	-	-	PUNCT
cana-1481	316	28	metric	metric	ADJ
cana-1481	316	29	spaces	space	NOUN
cana-1481	316	30	,	,	PUNCT
cana-1481	316	31	boletim	boletim	PROPN
cana-1481	316	32	da	da	PROPN
cana-1481	316	33	sociedade	sociedade	PROPN
cana-1481	316	34	paranaense	paranaense	PROPN
cana-1481	316	35	de	de	PROPN
cana-1481	316	36	matematica	matematica	PROPN
cana-1481	316	37	,	,	PUNCT
cana-1481	316	38	2023	2023	NUM
cana-1481	316	39	,	,	PUNCT
cana-1481	316	40	41	41	NUM
cana-1481	316	41	,	,	PUNCT
cana-1481	316	42	1–18	1–18	NUM
cana-1481	316	43	.	.	PUNCT
cana-1481	317	1	[	[	X
cana-1481	317	2	36	36	NUM
cana-1481	317	3	]	]	X
cana-1481	317	4	karapinar	karapinar	PROPN
cana-1481	317	5	,	,	PUNCT
cana-1481	317	6	e.	e.	PROPN
cana-1481	317	7	;	;	PUNCT
cana-1481	317	8	on	on	ADP
cana-1481	317	9	best	good	ADJ
cana-1481	317	10	proximity	proximity	NOUN
cana-1481	317	11	point	point	NOUN
cana-1481	317	12	of	of	ADP
cana-1481	317	13	ψ	ψ	X
cana-1481	317	14	-geraghty	-geraghty	ADJ
cana-1481	317	15	contractions	contraction	NOUN
cana-1481	317	16	,	,	PUNCT
cana-1481	317	17	global	global	ADJ
cana-1481	317	18	fixed	fix	VERB
cana-1481	317	19	point	point	NOUN
cana-1481	317	20	theory	theory	NOUN
cana-1481	317	21	and	and	CCONJ
cana-1481	317	22	applications	application	NOUN
cana-1481	317	23	,	,	PUNCT
cana-1481	317	24	(	(	PUNCT
cana-1481	317	25	2013	2013	NUM
cana-1481	317	26	)	)	PUNCT
cana-1481	317	27	2013:200	2013:200	NUM
cana-1481	317	28	.	.	PUNCT
cana-1481	318	1	erdal	erdal	PROPN
cana-1481	318	2	karapınar	karapınar	PROPN
cana-1481	318	3	/	/	SYM
cana-1481	318	4	filomat	filomat	PROPN
cana-1481	318	5	28:1	28:1	NUM
cana-1481	318	6	(	(	PUNCT
cana-1481	318	7	2014	2014	NUM
cana-1481	318	8	)	)	PUNCT
cana-1481	318	9	,	,	PUNCT
cana-1481	318	10	37–48	37–48	NUM
cana-1481	318	11	4	4	NUM
cana-1481	318	12	.	.	PUNCT
cana-1481	319	1	[	[	X
cana-1481	319	2	37	37	NUM
cana-1481	319	3	]	]	PUNCT
cana-1481	319	4	abodayeh	abodayeh	NOUN
cana-1481	319	5	,	,	PUNCT
cana-1481	319	6	k.	k.	PROPN
cana-1481	319	7	;	;	PUNCT
cana-1481	319	8	shatanawi	shatanawi	PROPN
cana-1481	319	9	,	,	PUNCT
cana-1481	319	10	w.	w.	PROPN
cana-1481	319	11	;	;	PUNCT
cana-1481	319	12	fixed	fix	VERB
cana-1481	319	13	point	point	NOUN
cana-1481	319	14	results	result	NOUN
cana-1481	319	15	for	for	ADP
cana-1481	319	16	mapping	mapping	NOUN
cana-1481	319	17	of	of	ADP
cana-1481	319	18	non	non	ADJ
cana-1481	319	19	-	-	ADJ
cana-1481	319	20	linear	linear	ADJ
cana-1481	319	21	contractive	contractive	ADJ
cana-1481	319	22	conditions	condition	NOUN
cana-1481	319	23	of	of	ADP
cana-1481	319	24	α	α	PRON
cana-1481	319	25	admissibility	admissibility	NOUN
cana-1481	319	26	form	form	NOUN
cana-1481	319	27	,	,	PUNCT
cana-1481	319	28	ieee	ieee	NOUN
cana-1481	319	29	access	access	NOUN
cana-1481	319	30	,	,	PUNCT
cana-1481	319	31	7(2019	7(2019	NUM
cana-1481	319	32	)	)	PUNCT
cana-1481	319	33	,	,	PUNCT
cana-1481	319	34	50280	50280	NUM
cana-1481	319	35	-	-	SYM
cana-1481	319	36	50286	50286	NUM
cana-1481	319	37	.	.	PUNCT