id	sid	tid	token	lemma	pos
cana-4664	1	1	cana.pdf	cana.pdf	X
cana-4664	1	2	certain	certain	ADJ
cana-4664	1	3	bounds	bound	NOUN
cana-4664	1	4	for	for	ADP
cana-4664	1	5	a	a	DET
cana-4664	1	6	subclasses	subclass	NOUN
cana-4664	1	7	of	of	ADP
cana-4664	1	8	analytic	analytic	ADJ
cana-4664	1	9	functions	function	NOUN
cana-4664	1	10	of	of	ADP
cana-4664	1	11	reciprocal	reciprocal	ADJ
cana-4664	1	12	order	order	NOUN
cana-4664	1	13	k.	k.	PROPN
cana-4664	1	14	dhanalakshmi1	dhanalakshmi1	PROPN
cana-4664	1	15	,	,	PUNCT
cana-4664	1	16	d.	d.	PROPN
cana-4664	1	17	kavitha2•	kavitha2•	PROPN
cana-4664	1	18	*	*	PROPN
cana-4664	1	19	,	,	PUNCT
cana-4664	1	20	and	and	CCONJ
cana-4664	1	21	k.kanohana3	k.kanohana3	PROPN
cana-4664	1	22	abstract	abstract	NOUN
cana-4664	1	23	.	.	PUNCT
cana-4664	2	1	in	in	ADP
cana-4664	2	2	this	this	DET
cana-4664	2	3	paper	paper	NOUN
cana-4664	2	4	,	,	PUNCT
cana-4664	2	5	we	we	PRON
cana-4664	2	6	introduce	introduce	VERB
cana-4664	2	7	certain	certain	ADJ
cana-4664	2	8	class	class	NOUN
cana-4664	2	9	of	of	ADP
cana-4664	2	10	bi	bi	PROPN
cana-4664	2	11	univalent	univalent	PROPN
cana-4664	2	12	functionsrelated	functionsrelate	VERB
cana-4664	2	13	to	to	PART
cana-4664	2	14	shell	shell	VERB
cana-4664	2	15	like	like	ADP
cana-4664	2	16	curves	curve	NOUN
cana-4664	2	17	connected	connect	VERB
cana-4664	2	18	with	with	ADP
cana-4664	2	19	fibonacci	fibonacci	NOUN
cana-4664	2	20	numbers	number	NOUN
cana-4664	2	21	.	.	PUNCT
cana-4664	3	1	also	also	ADV
cana-4664	3	2	we	we	PRON
cana-4664	3	3	determineinitial	determineinitial	PROPN
cana-4664	3	4	taylor	taylor	PROPN
cana-4664	3	5	-	-	PUNCT
cana-4664	3	6	maclaurin	maclaurin	NOUN
cana-4664	3	7	coefficient	coefficient	NOUN
cana-4664	3	8	inequalities	inequality	NOUN
cana-4664	3	9	and	and	CCONJ
cana-4664	3	10	fekete	fekete	PROPN
cana-4664	3	11	szego	szego	PROPN
cana-4664	3	12	problem	problem	NOUN
cana-4664	3	13	for	for	ADP
cana-4664	3	14	thebelonging	thebelonging	NOUN
cana-4664	3	15	class	class	NOUN
cana-4664	3	16	.	.	PUNCT
cana-4664	4	1	mathematics	mathematic	NOUN
cana-4664	4	2	subject	subject	ADJ
cana-4664	4	3	classification	classification	NOUN
cana-4664	4	4	:	:	PUNCT
cana-4664	4	5	30045,30050	30045,30050	NUM
cana-4664	4	6	keywords	keyword	NOUN
cana-4664	4	7	:	:	PUNCT
cana-4664	4	8	analytic	analytic	ADJ
cana-4664	4	9	functions	function	NOUN
cana-4664	4	10	,	,	PUNCT
cana-4664	4	11	bi	bi	NOUN
cana-4664	4	12	-	-	ADJ
cana-4664	4	13	univalent	univalent	ADJ
cana-4664	4	14	,	,	PUNCT
cana-4664	4	15	shell	shell	NOUN
cana-4664	4	16	-	-	PUNCT
cana-4664	4	17	like	like	ADJ
cana-4664	4	18	curve	curve	NOUN
cana-4664	4	19	,	,	PUNCT
cana-4664	4	20	fibonacci	fibonacci	NOUN
cana-4664	4	21	numbersmathematics	numbersmathematics	PROPN
cana-4664	4	22	subject	subject	PROPN
cana-4664	4	23	olassification	olassification	NOUN
cana-4664	4	24	:	:	PUNCT
cana-4664	4	25	primary	primary	ADJ
cana-4664	4	26	30045	30045	NUM
cana-4664	4	27	;	;	PUNCT
cana-4664	4	28	secondary	secondary	ADJ
cana-4664	4	29	30050	30050	NUM
cana-4664	4	30	1	1	NUM
cana-4664	4	31	.	.	PUNCT
cana-4664	5	1	introduction	introduction	NOUN
cana-4664	5	2	and	and	CCONJ
cana-4664	5	3	preliminaries	preliminary	NOUN
cana-4664	5	4	let	let	VERB
cana-4664	5	5	a	a	DET
cana-4664	5	6	denote	denote	NOUN
cana-4664	5	7	the	the	DET
cana-4664	5	8	family	family	NOUN
cana-4664	5	9	of	of	ADP
cana-4664	5	10	normalized	normalize	VERB
cana-4664	5	11	analytic	analytic	ADJ
cana-4664	5	12	functions	function	NOUN
cana-4664	5	13	l	l	NOUN
cana-4664	5	14	of	of	ADP
cana-4664	5	15	the	the	DET
cana-4664	5	16	form	form	NOUN
cana-4664	5	17	00	00	PUNCT
cana-4664	6	1	(	(	PUNCT
cana-4664	6	2	z	z	NOUN
cana-4664	6	3	e	e	NOUN
cana-4664	6	4	1u	1u	NUM
cana-4664	6	5	)	)	PUNCT
cana-4664	6	6	k=2	k=2	PROPN
cana-4664	6	7	(	(	PUNCT
cana-4664	6	8	1.1	1.1	NUM
cana-4664	6	9	)	)	PUNCT
cana-4664	6	10	in	in	ADP
cana-4664	6	11	the	the	DET
cana-4664	6	12	open	open	ADJ
cana-4664	6	13	disc	disc	NOUN
cana-4664	6	14	1u	1u	NUM
cana-4664	6	15	=	=	SYM
cana-4664	6	16	{	{	PUNCT
cana-4664	6	17	z	z	NOUN
cana-4664	6	18	:	:	PUNCT
cana-4664	6	19	z	z	X
cana-4664	6	20	e	e	X
cana-4664	6	21	c	c	NOUN
cana-4664	6	22	:	:	PUNCT
cana-4664	7	1	i	i	PRON
cana-4664	7	2	z	z	VERB
cana-4664	7	3	i	i	PRON
cana-4664	7	4	<	<	X
cana-4664	7	5	1	1	NUM
cana-4664	7	6	}	}	PUNCT
cana-4664	7	7	.	.	PUNCT
cana-4664	8	1	further	far	ADV
cana-4664	8	2	,	,	PUNCT
cana-4664	8	3	let	let	VERB
cana-4664	8	4	s	s	PRON
cana-4664	8	5	denote	denote	VERB
cana-4664	8	6	the	the	DET
cana-4664	8	7	class	class	NOUN
cana-4664	8	8	of	of	ADP
cana-4664	8	9	functions	function	NOUN
cana-4664	8	10	in	in	ADP
cana-4664	8	11	a	a	PRON
cana-4664	8	12	which	which	PRON
cana-4664	8	13	are	be	AUX
cana-4664	8	14	also	also	ADV
cana-4664	8	15	univalent	univalent	ADJ
cana-4664	8	16	in	in	ADP
cana-4664	8	17	1u	1u	NUM
cana-4664	8	18	.	.	PUNCT
cana-4664	9	1	the	the	DET
cana-4664	9	2	well	well	ADV
cana-4664	9	3	-	-	PUNCT
cana-4664	9	4	known	know	VERB
cana-4664	9	5	koebe	koebe	NOUN
cana-4664	9	6	one	one	NUM
cana-4664	9	7	-	-	PUNCT
cana-4664	9	8	quarter	quarter	NOUN
cana-4664	9	9	theorem	theorem	NOUN
cana-4664	9	10	[	[	X
cana-4664	9	11	2	2	NUM
cana-4664	9	12	]	]	PUNCT
cana-4664	9	13	ensures	ensure	VERB
cana-4664	9	14	that	that	SCONJ
cana-4664	9	15	the	the	DET
cana-4664	9	16	image	image	NOUN
cana-4664	9	17	of	of	ADP
cana-4664	9	18	1u	1u	NUM
cana-4664	9	19	under	under	ADP
cana-4664	9	20	every	every	DET
cana-4664	9	21	univalent	univalent	ADJ
cana-4664	9	22	function	function	NOUN
cana-4664	9	23	l	l	NOUN
cana-4664	9	24	e	e	NOUN
cana-4664	9	25	a	a	PRON
cana-4664	9	26	contains	contain	VERB
cana-4664	9	27	a	a	DET
cana-4664	9	28	disk	disk	NOUN
cana-4664	9	29	of	of	ADP
cana-4664	9	30	radius	radius	NOUN
cana-4664	9	31	1	1	NUM
cana-4664	9	32	/	/	SYM
cana-4664	9	33	4	4	NUM
cana-4664	9	34	.	.	PUNCT
cana-4664	10	1	hence	hence	ADV
cana-4664	10	2	every	every	DET
cana-4664	10	3	univalent	univalent	ADJ
cana-4664	10	4	function	function	NOUN
cana-4664	10	5	l	l	NOUN
cana-4664	10	6	has	have	VERB
cana-4664	10	7	an	an	DET
cana-4664	10	8	inverse	inverse	NOUN
cana-4664	10	9	11	11	NUM
cana-4664	10	10	satisfying	satisfy	VERB
cana-4664	10	11	11(f(z	11(f(z	NUM
cana-4664	10	12	)	)	PUNCT
cana-4664	10	13	)	)	PUNCT
cana-4664	11	1	=	=	PUNCT
cana-4664	11	2	z	z	X
cana-4664	11	3	,	,	PUNCT
cana-4664	11	4	(	(	PUNCT
cana-4664	11	5	z	z	NOUN
cana-4664	11	6	e	e	NOUN
cana-4664	11	7	1u	1u	NUM
cana-4664	11	8	)	)	PUNCT
cana-4664	11	9	and	and	CCONJ
cana-4664	11	10	11(f(w	11(f(w	NUM
cana-4664	11	11	)	)	PUNCT
cana-4664	11	12	)	)	PUNCT
cana-4664	12	1	=	=	SYM
cana-4664	12	2	w	w	PROPN
cana-4664	12	3	,	,	PUNCT
cana-4664	12	4	(	(	PUNCT
cana-4664	12	5	lwl	lwl	NOUN
cana-4664	12	6	<	<	X
cana-4664	12	7	ro(f),ro(f	ro(f),ro(f	NOUN
cana-4664	12	8	)	)	PUNCT
cana-4664	12	9	2	2	NUM
cana-4664	12	10	1/4	1/4	NUM
cana-4664	12	11	)	)	PUNCT
cana-4664	12	12	where	where	SCONJ
cana-4664	12	13	,	,	PUNCT
cana-4664	12	14	g(w	g(w	PROPN
cana-4664	12	15	)	)	PUNCT
cana-4664	12	16	=	=	SYM
cana-4664	12	17	11(w	11(w	NUM
cana-4664	12	18	)	)	PUNCT
cana-4664	12	19	=	=	SYM
cana-4664	12	20	w	w	PROPN
cana-4664	12	21	a2w2	a2w2	PROPN
cana-4664	12	22	+	+	CCONJ
cana-4664	12	23	(	(	PUNCT
cana-4664	12	24	2a	2a	NUM
cana-4664	12	25	�	�	PROPN
cana-4664	12	26	a3)w3	a3)w3	PROPN
cana-4664	12	27	(	(	PUNCT
cana-4664	12	28	5a	5a	NUM
cana-4664	12	29	�	�	PROPN
cana-4664	12	30	5a2a3	5a2a3	PROPN
cana-4664	12	31	+	+	CCONJ
cana-4664	12	32	a4)w4	a4)w4	VERB
cana-4664	12	33	+	+	NOUN
cana-4664	12	34	...	...	PUNCT
cana-4664	12	35	(	(	PUNCT
cana-4664	12	36	1.2	1.2	NUM
cana-4664	12	37	)	)	PUNCT
cana-4664	12	38	a	a	DET
cana-4664	12	39	function	function	NOUN
cana-4664	12	40	l	l	PROPN
cana-4664	12	41	ea	ea	PROPN
cana-4664	12	42	is	be	AUX
cana-4664	12	43	said	say	VERB
cana-4664	12	44	to	to	PART
cana-4664	12	45	be	be	AUX
cana-4664	12	46	bi	bi	ADJ
cana-4664	12	47	-	-	ADJ
cana-4664	12	48	univalent	univalent	ADJ
cana-4664	12	49	in	in	ADP
cana-4664	12	50	1u	1u	NUM
cana-4664	12	51	if	if	SCONJ
cana-4664	12	52	both	both	DET
cana-4664	12	53	land	land	NOUN
cana-4664	12	54	11	11	NUM
cana-4664	12	55	are	be	AUX
cana-4664	12	56	univalent	univalent	ADJ
cana-4664	12	57	in	in	ADP
cana-4664	12	58	1u	1u	NUM
cana-4664	12	59	.	.	PUNCT
cana-4664	13	1	let	let	VERB
cana-4664	13	2	:	:	PUNCT
cana-4664	13	3	e	e	NOUN
cana-4664	13	4	denote	denote	VERB
cana-4664	13	5	the	the	DET
cana-4664	13	6	class	class	NOUN
cana-4664	13	7	of	of	ADP
cana-4664	13	8	bi	bi	ADJ
cana-4664	13	9	-	-	ADJ
cana-4664	13	10	univalent	univalent	ADJ
cana-4664	13	11	functions	function	NOUN
cana-4664	13	12	in	in	ADP
cana-4664	13	13	1u	1u	NUM
cana-4664	13	14	given	give	VERB
cana-4664	13	15	by	by	ADP
cana-4664	13	16	(	(	PUNCT
cana-4664	13	17	1.1	1.1	NUM
cana-4664	13	18	)	)	PUNCT
cana-4664	13	19	.	.	PUNCT
cana-4664	14	1	for	for	ADP
cana-4664	14	2	example	example	NOUN
cana-4664	14	3	,	,	PUNCT
cana-4664	14	4	functions	function	NOUN
cana-4664	14	5	in	in	ADP
cana-4664	14	6	the	the	DET
cana-4664	14	7	class	class	NOUN
cana-4664	14	8	:	:	PUNCT
cana-4664	14	9	e	e	NOUN
cana-4664	14	10	are	be	AUX
cana-4664	14	11	given	give	VERB
cana-4664	14	12	below	below	ADP
cana-4664	14	13	[	[	X
cana-4664	14	14	13	13	NUM
cana-4664	14	15	]	]	SYM
cana-4664	14	16	:	:	PUNCT
cana-4664	14	17	1	1	NUM
cana-4664	14	18	�	�	PROPN
cana-4664	14	19	z	z	NOUN
cana-4664	14	20	'	'	PUNCT
cana-4664	14	21	-log(l	-log(l	NOUN
cana-4664	14	22	z	z	NOUN
cana-4664	14	23	)	)	PUNCT
cana-4664	14	24	,	,	PUNCT
cana-4664	14	25	�	�	PROPN
cana-4664	14	26	log	log	NOUN
cana-4664	14	27	(	(	PUNCT
cana-4664	14	28	�	�	PROPN
cana-4664	14	29	�	�	PROPN
cana-4664	14	30	;)	;)	NUM
cana-4664	14	31	.	.	PUNCT
cana-4664	15	1	in	in	ADP
cana-4664	15	2	1967	1967	NUM
cana-4664	15	3	,	,	PUNCT
cana-4664	15	4	lewin	lewin	PROPN
cana-4664	15	5	[	[	X
cana-4664	15	6	8	8	NUM
cana-4664	15	7	]	]	PUNCT
cana-4664	15	8	introduced	introduce	VERB
cana-4664	15	9	the	the	DET
cana-4664	15	10	class	class	NOUN
cana-4664	15	11	:	:	PUNCT
cana-4664	15	12	e	e	X
cana-4664	15	13	of	of	ADP
cana-4664	15	14	bi	bi	ADJ
cana-4664	15	15	-	-	ADJ
cana-4664	15	16	univalent	univalent	ADJ
cana-4664	15	17	functions	function	NOUN
cana-4664	15	18	and	and	CCONJ
cana-4664	15	19	shown	show	VERB
cana-4664	15	20	that	that	SCONJ
cana-4664	15	21	la2	la2	NOUN
cana-4664	15	22	1	1	NUM
cana-4664	15	23	<	<	X
cana-4664	15	24	1.51	1.51	NUM
cana-4664	15	25	.	.	PUNCT
cana-4664	16	1	in	in	ADP
cana-4664	16	2	1969	1969	NUM
cana-4664	16	3	,	,	PUNCT
cana-4664	16	4	netanyahu	netanyahu	PROPN
cana-4664	16	5	[	[	X
cana-4664	16	6	10	10	NUM
cana-4664	16	7	]	]	PUNCT
cana-4664	16	8	showed	show	VERB
cana-4664	16	9	that	that	SCONJ
cana-4664	16	10	max	max	PROPN
cana-4664	16	11	/	/	SYM
cana-4664	16	12	eela2	eela2	NOUN
cana-4664	16	13	1	1	NUM
cana-4664	16	14	=	=	SYM
cana-4664	16	15	4/3	4/3	NUM
cana-4664	16	16	and	and	CCONJ
cana-4664	16	17	suffridge	suffridge	VERB
cana-4664	16	18	[	[	X
cana-4664	16	19	14	14	NUM
cana-4664	16	20	]	]	PUNCT
cana-4664	16	21	have	have	AUX
cana-4664	16	22	given	give	VERB
cana-4664	16	23	an	an	DET
cana-4664	16	24	example	example	NOUN
cana-4664	16	25	of	of	ADP
cana-4664	16	26	l	l	NOUN
cana-4664	16	27	e	e	NOUN
cana-4664	16	28	:	:	PUNCT
cana-4664	16	29	e	e	X
cana-4664	16	30	for	for	ADP
cana-4664	16	31	which	which	PRON
cana-4664	16	32	la2	la2	NOUN
cana-4664	16	33	1	1	NUM
cana-4664	16	34	=	=	SYM
cana-4664	16	35	4/3	4/3	NUM
cana-4664	16	36	.	.	PUNCT
cana-4664	17	1	later	later	ADV
cana-4664	17	2	,	,	PUNCT
cana-4664	17	3	in	in	ADP
cana-4664	17	4	1980	1980	NUM
cana-4664	17	5	,	,	PUNCT
cana-4664	17	6	brannan	brannan	PROPN
cana-4664	17	7	communications	communication	NOUN
cana-4664	17	8	on	on	ADP
cana-4664	17	9	applied	apply	VERB
cana-4664	17	10	nonlinear	nonlinear	ADJ
cana-4664	17	11	analysis	analysis	NOUN
cana-4664	17	12	issn	issn	NOUN
cana-4664	17	13	:	:	PUNCT
cana-4664	17	14	1074	1074	NUM
cana-4664	17	15	-	-	PUNCT
cana-4664	17	16	133x	133x	NUM
cana-4664	17	17	vol	vol	VERB
cana-4664	17	18	32	32	NUM
cana-4664	17	19	no	no	NOUN
cana-4664	17	20	.	.	PUNCT
cana-4664	18	1	10s	10	NOUN
cana-4664	18	2	(	(	PUNCT
cana-4664	18	3	2025	2025	NUM
cana-4664	18	4	)	)	PUNCT
cana-4664	18	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4664	18	6	80	80	NUM
cana-4664	18	7	article	article	NOUN
cana-4664	18	8	history	history	NOUN
cana-4664	18	9	:	:	PUNCT
cana-4664	18	10	received	receive	VERB
cana-4664	18	11	:	:	PUNCT
cana-4664	18	12	12	12	NUM
cana-4664	18	13	-	-	SYM
cana-4664	18	14	01	01	NUM
cana-4664	18	15	-	-	PUNCT
cana-4664	18	16	2025	2025	NUM
cana-4664	18	17	,	,	PUNCT
cana-4664	18	18	revised	revise	VERB
cana-4664	18	19	:	:	PUNCT
cana-4664	18	20	15	15	NUM
cana-4664	18	21	-	-	NUM
cana-4664	18	22	02	02	NUM
cana-4664	18	23	-	-	PUNCT
cana-4664	18	24	2025	2025	NUM
cana-4664	18	25	,	,	PUNCT
cana-4664	18	26	accepted	accept	VERB
cana-4664	18	27	:	:	PUNCT
cana-4664	18	28	01	01	NUM
cana-4664	18	29	-	-	PUNCT
cana-4664	18	30	03	03	NUM
cana-4664	18	31	-	-	PUNCT
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cana-4664	18	39	:	:	PUNCT
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cana-4664	19	6	81	81	NUM
cana-4664	19	7	communications	communication	NOUN
cana-4664	19	8	on	on	ADP
cana-4664	19	9	applied	apply	VERB
cana-4664	19	10	nonlinear	nonlinear	ADJ
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cana-4664	19	13	:	:	PUNCT
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cana-4664	20	2	(	(	PUNCT
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cana-4664	20	4	)	)	PUNCT
cana-4664	20	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4664	20	6	82	82	NUM
cana-4664	20	7	communications	communication	NOUN
cana-4664	20	8	on	on	ADP
cana-4664	20	9	applied	apply	VERB
cana-4664	20	10	nonlinear	nonlinear	ADJ
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cana-4664	20	12	issn	issn	NOUN
cana-4664	20	13	:	:	PUNCT
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cana-4664	20	20	.	.	PUNCT
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cana-4664	21	4	)	)	PUNCT
cana-4664	21	5	https://internationalpubls.com	https://internationalpubls.com	X
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cana-4664	21	7	communications	communication	NOUN
cana-4664	21	8	on	on	ADP
cana-4664	21	9	applied	apply	VERB
cana-4664	21	10	nonlinear	nonlinear	ADJ
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cana-4664	21	12	issn	issn	NOUN
cana-4664	21	13	:	:	PUNCT
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cana-4664	21	15	-	-	PUNCT
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cana-4664	21	17	vol	vol	VERB
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cana-4664	21	20	.	.	PUNCT
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cana-4664	22	2	(	(	PUNCT
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cana-4664	22	4	)	)	PUNCT
cana-4664	22	5	https://internationalpubls.com	https://internationalpubls.com	X
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cana-4664	22	7	communications	communication	NOUN
cana-4664	22	8	on	on	ADP
cana-4664	22	9	applied	apply	VERB
cana-4664	22	10	nonlinear	nonlinear	ADJ
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cana-4664	22	12	issn	issn	NOUN
cana-4664	22	13	:	:	PUNCT
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cana-4664	22	15	-	-	PUNCT
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cana-4664	22	17	vol	vol	VERB
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cana-4664	22	20	.	.	PUNCT
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cana-4664	23	4	)	)	PUNCT
cana-4664	23	5	https://internationalpubls.com	https://internationalpubls.com	X
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cana-4664	23	7	communications	communication	NOUN
cana-4664	23	8	on	on	ADP
cana-4664	23	9	applied	apply	VERB
cana-4664	23	10	nonlinear	nonlinear	ADJ
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cana-4664	23	13	:	:	PUNCT
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cana-4664	23	17	vol	vol	VERB
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cana-4664	23	20	.	.	PUNCT
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cana-4664	24	4	)	)	PUNCT
cana-4664	24	5	https://internationalpubls.com	https://internationalpubls.com	X
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cana-4664	24	7	communications	communication	NOUN
cana-4664	24	8	on	on	ADP
cana-4664	24	9	applied	apply	VERB
cana-4664	24	10	nonlinear	nonlinear	ADJ
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cana-4664	24	13	:	:	PUNCT
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cana-4664	25	9	applied	apply	VERB
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cana-4664	25	12	issn	issn	NOUN
cana-4664	25	13	:	:	PUNCT
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cana-4664	25	17	vol	vol	VERB
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cana-4664	25	20	.	.	PUNCT
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cana-4664	26	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-4664	26	6	88	88	NUM
