id	sid	tid	token	lemma	pos
cana-6232	1	1	communications	communication	NOUN
cana-6232	1	2	on	on	ADP
cana-6232	1	3	applied	apply	VERB
cana-6232	1	4	nonlinear	nonlinear	ADJ
cana-6232	1	5	analysis	analysis	NOUN
cana-6232	1	6	issn	issn	NOUN
cana-6232	1	7	:	:	PUNCT
cana-6232	1	8	1074	1074	NUM
cana-6232	1	9	-	-	PUNCT
cana-6232	1	10	133x	133x	NUM
cana-6232	1	11	vol	vol	NOUN
cana-6232	1	12	32	32	NUM
cana-6232	1	13	no	no	NOUN
cana-6232	1	14	.	.	NOUN
cana-6232	1	15	3	3	NUM
cana-6232	1	16	(	(	PUNCT
cana-6232	1	17	2025	2025	NUM
cana-6232	1	18	)	)	PUNCT
cana-6232	2	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	2	2	1149	1149	NUM
cana-6232	2	3	number	number	NOUN
cana-6232	2	4	of	of	ADP
cana-6232	2	5	distinct	distinct	ADJ
cana-6232	2	6	topologies	topology	NOUN
cana-6232	2	7	on	on	ADP
cana-6232	2	8	finite	finite	NOUN
cana-6232	2	9	set	set	VERB
cana-6232	2	10	with	with	ADP
cana-6232	2	11	r	r	NOUN
cana-6232	2	12	-	-	PUNCT
cana-6232	2	13	open	open	ADJ
cana-6232	2	14	sets	set	NOUN
cana-6232	2	15	dr	dr	PROPN
cana-6232	2	16	.	.	PROPN
cana-6232	2	17	narendrakumar	narendrakumar	PROPN
cana-6232	2	18	r.	r.	PROPN
cana-6232	2	19	dasre1	dasre1	PROPN
cana-6232	2	20	,	,	PUNCT
cana-6232	2	21	dr	dr	PROPN
cana-6232	2	22	.	.	PROPN
cana-6232	2	23	pritam	pritam	PROPN
cana-6232	2	24	gujarathi	gujarathi	PROPN
cana-6232	2	25	-	-	PUNCT
cana-6232	2	26	wani2	wani2	PROPN
cana-6232	2	27	,	,	PUNCT
cana-6232	2	28	dr	dr	PROPN
cana-6232	2	29	.	.	PROPN
cana-6232	2	30	manohar	manohar	PROPN
cana-6232	2	31	b.	b.	PROPN
cana-6232	3	1	bhagirath3	bhagirath3	PROPN
cana-6232	3	2	*	*	PROPN
cana-6232	3	3	1associate	1associate	NUM
cana-6232	3	4	professor	professor	NOUN
cana-6232	3	5	,	,	PUNCT
cana-6232	3	6	head	head	NOUN
cana-6232	3	7	,	,	PUNCT
cana-6232	3	8	department	department	NOUN
cana-6232	3	9	of	of	ADP
cana-6232	3	10	engineering	engineering	NOUN
cana-6232	3	11	sciences	science	NOUN
cana-6232	3	12	,	,	PUNCT
cana-6232	3	13	ramrao	ramrao	VERB
cana-6232	3	14	adik	adik	PROPN
cana-6232	3	15	institute	institute	PROPN
cana-6232	3	16	of	of	ADP
cana-6232	3	17	technology	technology	PROPN
cana-6232	3	18	,	,	PUNCT
cana-6232	3	19	nerul	nerul	PROPN
cana-6232	3	20	,	,	PUNCT
cana-6232	3	21	navi	navi	PROPN
cana-6232	3	22	mumbai-400706	mumbai-400706	PROPN
cana-6232	3	23	email	email	NOUN
cana-6232	3	24	-	-	PUNCT
cana-6232	3	25	id	id	NOUN
cana-6232	3	26	:	:	PUNCT
cana-6232	3	27	narendasre@rait.ac.in	narendasre@rait.ac.in	PROPN
cana-6232	3	28	2assistant	2assistant	PROPN
cana-6232	3	29	professor	professor	NOUN
cana-6232	3	30	,	,	PUNCT
cana-6232	3	31	department	department	NOUN
cana-6232	3	32	of	of	ADP
cana-6232	3	33	engineering	engineering	NOUN
cana-6232	3	34	sciences	science	NOUN
cana-6232	3	35	,	,	PUNCT
cana-6232	3	36	ramrao	ramrao	VERB
cana-6232	3	37	adik	adik	PROPN
cana-6232	3	38	institute	institute	PROPN
cana-6232	3	39	of	of	ADP
cana-6232	3	40	technology	technology	PROPN
cana-6232	3	41	,	,	PUNCT
cana-6232	3	42	nerul	nerul	PROPN
cana-6232	3	43	,	,	PUNCT
cana-6232	3	44	navi	navi	PROPN
cana-6232	3	45	mumbai-400706	mumbai-400706	PROPN
cana-6232	3	46	email	email	NOUN
cana-6232	3	47	-	-	PUNCT
cana-6232	3	48	id	id	NOUN
cana-6232	3	49	:	:	PUNCT
cana-6232	3	50	pritam.wani@rait.ac.in	pritam.wani@rait.ac.in	NUM
cana-6232	3	51	3*associate	3*associate	PROPN
cana-6232	3	52	professor	professor	NOUN
cana-6232	3	53	,	,	PUNCT
cana-6232	3	54	head	head	NOUN
cana-6232	3	55	,	,	PUNCT
cana-6232	3	56	department	department	NOUN
cana-6232	3	57	of	of	ADP
cana-6232	3	58	mathematics	mathematic	NOUN
cana-6232	3	59	,	,	PUNCT
cana-6232	3	60	annasaheb	annasaheb	NOUN
cana-6232	3	61	vartak	vartak	NOUN
cana-6232	3	62	college	college	PROPN
cana-6232	3	63	of	of	ADP
cana-6232	3	64	arts	art	NOUN
cana-6232	3	65	,	,	PUNCT
cana-6232	3	66	science	science	NOUN
cana-6232	3	67	and	and	CCONJ
cana-6232	3	68	commerce	commerce	PROPN
cana-6232	3	69	,	,	PUNCT
cana-6232	3	70	vasai	vasai	PROPN
cana-6232	3	71	,	,	PUNCT
cana-6232	3	72	dist	dist	NOUN
cana-6232	3	73	.	.	PUNCT
cana-6232	4	1	palghar	palghar	PROPN
cana-6232	4	2	401202	401202	NUM
cana-6232	4	3	.	.	PUNCT
cana-6232	5	1	email	email	NOUN
cana-6232	5	2	-	-	PUNCT
cana-6232	5	3	id	id	NOUN
cana-6232	5	4	:	:	PUNCT
cana-6232	5	5	manoharbhagirath@gmail.com	manoharbhagirath@gmail.com	X
cana-6232	5	6	article	article	NOUN
cana-6232	5	7	history	history	NOUN
cana-6232	5	8	:	:	PUNCT
cana-6232	5	9	received:11	received:11	VERB
cana-6232	5	10	-	-	PUNCT
cana-6232	5	11	02	02	NUM
cana-6232	5	12	-	-	PUNCT
cana-6232	5	13	2025	2025	NUM
cana-6232	5	14	revised	revise	VERB
cana-6232	5	15	:	:	PUNCT
cana-6232	5	16	24	24	NUM
cana-6232	5	17	-	-	PUNCT
cana-6232	5	18	02	02	NUM
cana-6232	5	19	-	-	PUNCT
cana-6232	5	20	2025	2025	NUM
cana-6232	5	21	accepted:11	accepted:11	ADJ
cana-6232	5	22	-	-	PUNCT
cana-6232	5	23	03	03	NUM
cana-6232	5	24	-	-	PUNCT
cana-6232	5	25	2025	2025	NUM
cana-6232	5	26	abstract	abstract	NOUN
cana-6232	5	27	:	:	PUNCT
cana-6232	5	28	in	in	ADP
cana-6232	5	29	this	this	DET
cana-6232	5	30	paper	paper	NOUN
cana-6232	5	31	,	,	PUNCT
cana-6232	5	32	we	we	PRON
cana-6232	5	33	have	have	AUX
cana-6232	5	34	studied	study	VERB
cana-6232	5	35	the	the	DET
cana-6232	5	36	sequences	sequence	NOUN
cana-6232	5	37	of	of	ADP
cana-6232	5	38	distinct	distinct	ADJ
cana-6232	5	39	topologies	topology	NOUN
cana-6232	5	40	on	on	ADP
cana-6232	5	41	n	n	ADV
cana-6232	5	42	-	-	PUNCT
cana-6232	5	43	set	set	VERB
cana-6232	5	44	with	with	ADP
cana-6232	5	45	r	r	NOUN
cana-6232	5	46	-	-	PUNCT
cana-6232	5	47	open	open	ADJ
cana-6232	5	48	sets	set	NOUN
cana-6232	5	49	[	[	X
cana-6232	5	50	2	2	NUM
cana-6232	5	51	]	]	PUNCT
cana-6232	5	52	.	.	PUNCT
cana-6232	6	1	here	here	ADV
cana-6232	6	2	we	we	PRON
cana-6232	6	3	have	have	AUX
cana-6232	6	4	applied	apply	VERB
cana-6232	6	5	the	the	DET
cana-6232	6	6	concept	concept	NOUN
cana-6232	6	7	of	of	ADP
cana-6232	6	8	repeated	repeat	VERB
cana-6232	6	9	ratios	ratio	NOUN
cana-6232	6	10	proposed	propose	VERB
cana-6232	6	11	by	by	ADP
cana-6232	6	12	dasre	dasre	NOUN
cana-6232	6	13	and	and	CCONJ
cana-6232	6	14	gujarathi	gujarathi	ADJ
cana-6232	7	1	[	[	X
cana-6232	7	2	3	3	X
cana-6232	7	3	]	]	PUNCT
cana-6232	7	4	to	to	ADP
cana-6232	7	5	these	these	DET
cana-6232	7	6	sequences	sequence	NOUN
cana-6232	7	7	.	.	PUNCT
cana-6232	8	1	after	after	ADP
cana-6232	8	2	applying	apply	VERB
cana-6232	8	3	the	the	DET
cana-6232	8	4	repeated	repeat	VERB
cana-6232	8	5	ratios	ratio	NOUN
cana-6232	8	6	to	to	ADP
cana-6232	8	7	these	these	DET
cana-6232	8	8	sequences	sequence	NOUN
cana-6232	8	9	,	,	PUNCT
cana-6232	8	10	we	we	PRON
cana-6232	8	11	observed	observe	VERB
cana-6232	8	12	that	that	SCONJ
cana-6232	8	13	the	the	DET
cana-6232	8	14	repeated	repeat	VERB
cana-6232	8	15	ratios	ratio	NOUN
cana-6232	8	16	follow	follow	VERB
cana-6232	8	17	the	the	DET
cana-6232	8	18	same	same	ADJ
cana-6232	8	19	pattern	pattern	NOUN
cana-6232	8	20	for	for	ADP
cana-6232	8	21	all	all	DET
cana-6232	8	22	sequences	sequence	NOUN
cana-6232	8	23	.	.	PUNCT
cana-6232	9	1	so	so	ADV
cana-6232	9	2	the	the	DET
cana-6232	9	3	method	method	NOUN
cana-6232	9	4	of	of	ADP
cana-6232	9	5	repeated	repeat	VERB
cana-6232	9	6	ratios	ratio	NOUN
cana-6232	9	7	can	can	AUX
cana-6232	9	8	be	be	AUX
cana-6232	9	9	used	use	VERB
cana-6232	9	10	for	for	ADP
cana-6232	9	11	finding	find	VERB
cana-6232	9	12	the	the	DET
cana-6232	9	13	better	well	ADJ
cana-6232	9	14	bounds	bound	NOUN
cana-6232	9	15	for	for	ADP
cana-6232	9	16	the	the	DET
cana-6232	9	17	number	number	NOUN
cana-6232	9	18	of	of	ADP
cana-6232	9	19	topologies	topology	NOUN
cana-6232	9	20	.	.	PUNCT
cana-6232	10	1	using	use	VERB
cana-6232	10	2	the	the	DET
cana-6232	10	3	repeated	repeat	VERB
cana-6232	10	4	ratios	ratio	NOUN
cana-6232	10	5	,	,	PUNCT
cana-6232	10	6	one	one	PRON
cana-6232	10	7	can	can	AUX
cana-6232	10	8	approximate	approximate	VERB
cana-6232	10	9	the	the	DET
cana-6232	10	10	large	large	ADJ
cana-6232	10	11	numbers	number	NOUN
cana-6232	10	12	for	for	ADP
cana-6232	10	13	the	the	DET
cana-6232	10	14	sequences	sequence	NOUN
cana-6232	10	15	as	as	ADP
cana-6232	10	16	in	in	ADP
cana-6232	10	17	[	[	X
cana-6232	10	18	3	3	NUM
cana-6232	10	19	,	,	PUNCT
cana-6232	10	20	4	4	NUM
cana-6232	10	21	]	]	PUNCT
cana-6232	10	22	.	.	PUNCT
cana-6232	11	1	we	we	PRON
cana-6232	11	2	also	also	ADV
cana-6232	11	3	observed	observe	VERB
cana-6232	11	4	that	that	SCONJ
cana-6232	11	5	the	the	DET
cana-6232	11	6	sequence	sequence	NOUN
cana-6232	11	7	of	of	ADP
cana-6232	11	8	repeated	repeat	VERB
cana-6232	11	9	ratios	ratio	NOUN
cana-6232	11	10	oscillates	oscillate	NOUN
cana-6232	11	11	around	around	ADP
cana-6232	11	12	one	one	NUM
cana-6232	11	13	.	.	PUNCT
cana-6232	12	1	ams	am	NOUN
cana-6232	12	2	subject	subject	ADJ
cana-6232	12	3	classification	classification	NOUN
cana-6232	12	4	:	:	PUNCT
cana-6232	12	5	40a15	40a15	NUM
cana-6232	12	6	,	,	PUNCT
cana-6232	12	7	54a99	54a99	NUM
cana-6232	12	8	.	.	PUNCT
cana-6232	13	1	key	key	ADJ
cana-6232	13	2	words	word	NOUN
cana-6232	13	3	and	and	CCONJ
cana-6232	13	4	phrases	phrase	NOUN
cana-6232	13	5	:	:	PUNCT
cana-6232	13	6	topology	topology	NOUN
cana-6232	13	7	,	,	PUNCT
cana-6232	13	8	repeated	repeat	VERB
cana-6232	13	9	ratio	ratio	NOUN
cana-6232	13	10	,	,	PUNCT
cana-6232	13	11	sequences	sequence	NOUN
cana-6232	13	12	.	.	PUNCT
cana-6232	14	1	1	1	X
cana-6232	14	2	.	.	X
cana-6232	14	3	introduction	introduction	NOUN
cana-6232	14	4	in	in	ADP
cana-6232	14	5	literature	literature	NOUN
cana-6232	14	6	very	very	ADV
cana-6232	14	7	few	few	ADJ
cana-6232	14	8	approaches	approach	NOUN
cana-6232	14	9	are	be	AUX
cana-6232	14	10	available	available	ADJ
cana-6232	14	11	for	for	ADP
cana-6232	14	12	finding	find	VERB
cana-6232	14	13	number	number	NOUN
cana-6232	14	14	of	of	ADP
cana-6232	14	15	topologies	topology	NOUN
cana-6232	14	16	on	on	ADP
cana-6232	14	17	larger	large	ADJ
cana-6232	14	18	finite	finite	PROPN
cana-6232	14	19	set	set	NOUN
cana-6232	14	20	.	.	PUNCT
cana-6232	15	1	the	the	DET
cana-6232	15	2	traditional	traditional	ADJ
cana-6232	15	3	method	method	NOUN
cana-6232	15	4	for	for	ADP
cana-6232	15	5	finding	find	VERB
cana-6232	15	6	number	number	NOUN
cana-6232	15	7	of	of	ADP
cana-6232	15	8	topologies	topology	NOUN
cana-6232	15	9	on	on	ADP
cana-6232	15	10	finite	finite	ADJ
cana-6232	15	11	sets	set	NOUN
cana-6232	15	12	are	be	AUX
cana-6232	15	13	found	find	VERB
cana-6232	15	14	insufficient	insufficient	ADJ
cana-6232	15	15	for	for	ADP
cana-6232	15	16	large	large	ADJ
cana-6232	15	17	n.	n.	NOUN
cana-6232	15	18	the	the	DET
cana-6232	15	19	approaches	approach	NOUN
cana-6232	15	20	by	by	ADP
cana-6232	15	21	v.	v.	ADP
cana-6232	15	22	krishnamoorthy	krishnamoorthy	ADJ
cana-6232	16	1	[	[	X
cana-6232	16	2	5	5	NUM
cana-6232	16	3	]	]	PUNCT
cana-6232	16	4	,	,	PUNCT
cana-6232	16	5	g.	g.	PROPN
cana-6232	16	6	h.	h.	PROPN
cana-6232	16	7	patil	patil	PROPN
cana-6232	16	8	and	and	CCONJ
cana-6232	16	9	m.	m.	PROPN
cana-6232	16	10	s.	s.	PROPN
cana-6232	16	11	chaudhary	chaudhary	PROPN
cana-6232	17	1	[	[	X
cana-6232	17	2	1	1	X
cana-6232	17	3	]	]	PUNCT
cana-6232	17	4	have	have	AUX
cana-6232	17	5	tried	try	VERB
cana-6232	17	6	to	to	PART
cana-6232	17	7	give	give	VERB
cana-6232	17	8	bounds	bound	NOUN
cana-6232	17	9	but	but	CCONJ
cana-6232	17	10	still	still	ADV
cana-6232	17	11	these	these	DET
cana-6232	17	12	bounds	bound	NOUN
cana-6232	17	13	are	be	AUX
cana-6232	17	14	not	not	PART
cana-6232	17	15	efficient	efficient	ADJ
cana-6232	17	16	for	for	ADP
cana-6232	17	17	large	large	ADJ
cana-6232	17	18	n.	n.	NOUN
cana-6232	17	19	the	the	DET
cana-6232	17	20	method	method	NOUN
cana-6232	17	21	introduced	introduce	VERB
cana-6232	17	22	by	by	ADP
cana-6232	17	23	dasre	dasre	NOUN
cana-6232	17	24	and	and	CCONJ
cana-6232	17	25	gujarathi	gujarathi	NOUN
cana-6232	17	26	of	of	ADP
cana-6232	17	27	repeated	repeat	VERB
cana-6232	17	28	ratios	ratio	NOUN
cana-6232	17	29	in	in	ADP
cana-6232	17	30	[	[	X
cana-6232	17	31	3	3	NUM
cana-6232	17	32	]	]	PUNCT
cana-6232	17	33	is	be	AUX
cana-6232	17	34	applicable	applicable	ADJ
cana-6232	17	35	for	for	ADP
cana-6232	17	36	large	large	ADJ
cana-6232	17	37	n.	n.	NOUN
cana-6232	17	38	also	also	ADV
cana-6232	17	39	by	by	ADP
cana-6232	17	40	the	the	DET
cana-6232	17	41	same	same	ADJ
cana-6232	17	42	approach	approach	NOUN
cana-6232	17	43	in	in	ADP
cana-6232	17	44	[	[	X
cana-6232	17	45	4	4	X
cana-6232	17	46	]	]	PUNCT
cana-6232	17	47	the	the	DET
cana-6232	17	48	method	method	NOUN
cana-6232	17	49	was	be	AUX
cana-6232	17	50	applied	apply	VERB
cana-6232	17	51	to	to	PART
cana-6232	17	52	partially	partially	ADV
cana-6232	17	53	ordered	order	VERB
cana-6232	17	54	set	set	VERB
cana-6232	17	55	with	with	ADP
cana-6232	17	56	n	n	ADV
cana-6232	17	57	-	-	PUNCT
cana-6232	17	58	labelled	label	VERB
cana-6232	17	59	elements	element	NOUN
cana-6232	17	60	and	and	CCONJ
cana-6232	17	61	have	have	AUX
cana-6232	17	62	given	give	VERB
cana-6232	17	63	the	the	DET
cana-6232	17	64	approximate	approximate	ADJ
cana-6232	17	65	bounds	bound	NOUN
cana-6232	17	66	.	.	PUNCT
cana-6232	18	1	in	in	ADP
cana-6232	18	2	this	this	DET
cana-6232	18	3	paper	paper	NOUN
cana-6232	18	4	,	,	PUNCT
cana-6232	18	5	we	we	PRON
cana-6232	18	6	have	have	AUX
cana-6232	18	7	applied	apply	VERB
cana-6232	18	8	the	the	DET
cana-6232	18	9	method	method	NOUN
cana-6232	18	10	of	of	ADP
cana-6232	18	11	repeated	repeat	VERB
cana-6232	18	12	ratios	ratio	NOUN
cana-6232	18	13	to	to	ADP
cana-6232	18	14	the	the	DET
cana-6232	18	15	series	series	NOUN
cana-6232	18	16	of	of	ADP
cana-6232	18	17	topologies	topology	NOUN
cana-6232	18	18	on	on	ADP
cana-6232	18	19	nsets	nset	NOUN
cana-6232	18	20	with	with	ADP
cana-6232	18	21	r	r	NOUN
cana-6232	18	22	-	-	PUNCT
cana-6232	18	23	open	open	ADJ
cana-6232	18	24	sets	set	NOUN
cana-6232	18	25	.	.	PUNCT
cana-6232	19	1	2	2	X
cana-6232	19	2	.	.	NUM
cana-6232	19	3	repeated	repeat	VERB
cana-6232	19	4	ratios	ratio	NOUN
cana-6232	19	5	let	let	VERB
cana-6232	19	6	{	{	PUNCT
cana-6232	19	7	𝑥𝑛	𝑥𝑛	AUX
cana-6232	19	8	}	}	PUNCT
cana-6232	19	9	be	be	AUX
cana-6232	19	10	the	the	DET
cana-6232	19	11	series	series	NOUN
cana-6232	19	12	.	.	PUNCT
cana-6232	20	1	we	we	PRON
cana-6232	20	2	define	define	VERB
cana-6232	20	3	the	the	DET
cana-6232	20	4	repeated	repeat	VERB
cana-6232	20	5	ratios	ratio	NOUN
cana-6232	20	6	[	[	X
cana-6232	20	7	3	3	NUM
cana-6232	20	8	]	]	PUNCT
cana-6232	20	9	as	as	ADP
cana-6232	20	10	below	below	ADV
cana-6232	20	11	:	:	PUNCT
cana-6232	20	12	𝑎𝑛	𝑎𝑛	PROPN
cana-6232	20	13	=	=	SYM
cana-6232	20	14	𝑋𝑛+1	𝑋𝑛+1	X
cana-6232	20	15	𝑋𝑛	𝑋𝑛	NOUN
cana-6232	20	16	…	…	PUNCT
cana-6232	20	17	.	.	PUNCT
cana-6232	21	1	(	(	PUNCT
cana-6232	21	2	1	1	X
cana-6232	21	3	)	)	PUNCT
cana-6232	21	4	𝑏𝑛	𝑏𝑛	ADP
cana-6232	21	5	=	=	SYM
cana-6232	21	6	𝑎𝑛+1	𝑎𝑛+1	X
cana-6232	21	7	𝑎𝑛	𝑎𝑛	NOUN
cana-6232	21	8	=	=	PUNCT
cana-6232	21	9	𝑋𝑛+2𝑋𝑛	𝑋𝑛+2𝑋𝑛	VERB
cana-6232	21	10	𝑋𝑛+1	𝑋𝑛+1	X
cana-6232	21	11	2	2	NUM
cana-6232	21	12	…	…	PUNCT
cana-6232	21	13	.	.	PUNCT
cana-6232	22	1	(	(	PUNCT
cana-6232	22	2	2	2	X
cana-6232	22	3	)	)	PUNCT
cana-6232	22	4	𝑐𝑛	𝑐𝑛	NOUN
cana-6232	22	5	=	=	SYM
cana-6232	23	1	𝑏𝑛+1	𝑏𝑛+1	ADV
cana-6232	23	2	𝑏𝑛	𝑏𝑛	ADP
cana-6232	23	3	=	=	SYM
cana-6232	23	4	𝑋𝑛+3𝑋𝑛+1	𝑋𝑛+3𝑋𝑛+1	PROPN
cana-6232	23	5	3	3	NUM
cana-6232	23	6	𝑋𝑛+2	𝑋𝑛+2	NOUN
cana-6232	23	7	3	3	NUM
cana-6232	23	8	𝑋𝑛	𝑋𝑛	PROPN
cana-6232	23	9	…	…	PUNCT
cana-6232	23	10	.	.	PUNCT
cana-6232	24	1	(	(	PUNCT
cana-6232	24	2	3	3	X
cana-6232	24	3	)	)	PUNCT
cana-6232	24	4	and	and	CCONJ
cana-6232	24	5	so	so	ADV
cana-6232	24	6	on	on	ADV
cana-6232	24	7	.	.	PUNCT
cana-6232	25	1	in	in	ADP
cana-6232	25	2	this	this	DET
cana-6232	25	3	paper	paper	NOUN
cana-6232	25	4	,	,	PUNCT
cana-6232	25	5	we	we	PRON
cana-6232	25	6	are	be	AUX
cana-6232	25	7	considering	consider	VERB
cana-6232	25	8	the	the	DET
cana-6232	25	9	series	series	PROPN
cana-6232	25	10	a281773	a281773	PROPN
cana-6232	25	11	,	,	PUNCT
cana-6232	25	12	a281774	a281774	PRON
cana-6232	25	13	,	,	PUNCT
cana-6232	25	14	a281775	a281775	PROPN
cana-6232	25	15	,	,	PUNCT
cana-6232	25	16	a281776	a281776	PROPN
cana-6232	25	17	,	,	PUNCT
cana-6232	25	18	a281777	a281777	PROPN
cana-6232	25	19	,	,	PUNCT
cana-6232	25	20	a281778	a281778	PROPN
cana-6232	25	21	,	,	PUNCT
cana-6232	25	22	a281779	a281779	PROPN
cana-6232	25	23	,	,	PUNCT
cana-6232	25	24	a281780	a281780	NOUN
cana-6232	25	25	of	of	ADP
cana-6232	25	26	topologies	topology	NOUN
cana-6232	25	27	on	on	ADP
cana-6232	25	28	sets	set	NOUN
cana-6232	25	29	of	of	ADP
cana-6232	25	30	n	n	NOUN
cana-6232	25	31	-	-	PUNCT
cana-6232	25	32	elements	element	NOUN
cana-6232	25	33	with	with	ADP
cana-6232	25	34	r	r	NOUN
cana-6232	25	35	-	-	PUNCT
cana-6232	25	36	open	open	ADJ
cana-6232	25	37	sets	set	NOUN
cana-6232	25	38	by	by	ADP
cana-6232	25	39	n.	n.	PROPN
cana-6232	25	40	j.	j.	PROPN
cana-6232	25	41	sloane[2	sloane[2	PROPN
cana-6232	25	42	]	]	PUNCT
cana-6232	25	43	.	.	PUNCT
cana-6232	26	1	the	the	DET
cana-6232	26	2	repeated	repeat	VERB
cana-6232	26	3	ratios	ratio	NOUN
cana-6232	26	4	an	an	DET
cana-6232	26	5	,	,	PUNCT
cana-6232	26	6	bn	bn	NOUN
cana-6232	26	7	,	,	PUNCT
cana-6232	26	8	cn	cn	PROPN
cana-6232	26	9	,	,	PUNCT
cana-6232	26	10	.	.	PUNCT
cana-6232	26	11	.	.	PUNCT
cana-6232	26	12	.	.	PUNCT
cana-6232	27	1	,	,	PUNCT
cana-6232	27	2	jn	jn	PROPN
cana-6232	27	3	are	be	AUX
cana-6232	27	4	as	as	ADV
cana-6232	27	5	defined	define	VERB
cana-6232	27	6	in	in	ADP
cana-6232	27	7	[	[	X
cana-6232	27	8	3	3	NUM
cana-6232	27	9	]	]	PUNCT
cana-6232	27	10	.	.	PUNCT
cana-6232	28	1	these	these	DET
cana-6232	28	2	repeated	repeat	VERB
cana-6232	28	3	ratios	ratio	NOUN
cana-6232	28	4	are	be	AUX
cana-6232	28	5	calculated	calculate	VERB
cana-6232	28	6	for	for	ADP
cana-6232	28	7	series	series	NOUN
cana-6232	28	8	of	of	ADP
cana-6232	28	9	distinct	distinct	ADJ
cana-6232	28	10	topologies	topology	NOUN
cana-6232	28	11	on	on	ADP
cana-6232	28	12	n	n	CCONJ
cana-6232	28	13	-	-	PUNCT
cana-6232	28	14	sets	set	NOUN
cana-6232	28	15	with	with	ADP
cana-6232	28	16	exactly	exactly	ADV
cana-6232	28	17	r	r	NOUN
cana-6232	28	18	-	-	PUNCT
cana-6232	28	19	open	open	ADJ
cana-6232	28	20	sets	set	NOUN
cana-6232	28	21	.	.	PUNCT
cana-6232	29	1	we	we	PRON
cana-6232	29	2	have	have	AUX
cana-6232	29	3	tabulated	tabulate	VERB
cana-6232	29	4	the	the	DET
cana-6232	29	5	repeated	repeat	VERB
cana-6232	29	6	ratios	ratio	NOUN
cana-6232	29	7	for	for	ADP
cana-6232	29	8	each	each	PRON
cana-6232	29	9	of	of	ADP
cana-6232	29	10	the	the	DET
cana-6232	29	11	above	above	ADJ
cana-6232	29	12	series	series	NOUN
cana-6232	29	13	[	[	X
cana-6232	29	14	2	2	NUM
cana-6232	29	15	]	]	PUNCT
cana-6232	29	16	as	as	ADP
cana-6232	29	17	below	below	ADV
cana-6232	29	18	:	:	PUNCT
cana-6232	29	19	the	the	DET
cana-6232	29	20	series	series	NOUN
cana-6232	29	21	a281773	a281773	PROPN
cana-6232	29	22	:	:	PUNCT
cana-6232	29	23	0	0	NUM
cana-6232	29	24	,	,	PUNCT
cana-6232	29	25	0	0	NUM
cana-6232	29	26	,	,	PUNCT
cana-6232	29	27	1	1	NUM
cana-6232	29	28	,	,	PUNCT
cana-6232	29	29	9	9	NUM
cana-6232	29	30	,	,	PUNCT
cana-6232	29	31	43	43	NUM
cana-6232	29	32	,	,	PUNCT
cana-6232	29	33	165	165	NUM
cana-6232	29	34	,	,	PUNCT
cana-6232	29	35	571	571	NUM
cana-6232	29	36	,	,	PUNCT
cana-6232	29	37	1869	1869	NUM
cana-6232	29	38	,	,	PUNCT
cana-6232	29	39	5923	5923	NUM
cana-6232	29	40	,	,	PUNCT
cana-6232	29	41	18405	18405	NUM
cana-6232	29	42	,	,	PUNCT
cana-6232	29	43	56491	56491	NUM
cana-6232	29	44	,	,	PUNCT
cana-6232	29	45	172029	172029	NUM
cana-6232	29	46	,	,	PUNCT
cana-6232	29	47	521203	521203	NUM
cana-6232	29	48	,	,	PUNCT
cana-6232	29	49	1573845	1573845	NUM
cana-6232	29	50	,	,	PUNCT
cana-6232	29	51	4742011	4742011	NUM
cana-6232	29	52	,	,	PUNCT
cana-6232	29	53	14266989	14266989	NUM
cana-6232	29	54	,	,	PUNCT
cana-6232	29	55	42882883	42882883	NUM
cana-6232	29	56	,	,	PUNCT
cana-6232	29	57	128812485	128812485	NUM
cana-6232	29	58	,	,	PUNCT
cana-6232	29	59	386765131	386765131	NUM
cana-6232	29	60	,	,	PUNCT
cana-6232	29	61	1160950749	1160950749	NUM
cana-6232	29	62	,	,	PUNCT
cana-6232	29	63	3484162963	3484162963	NUM
cana-6232	29	64	,	,	PUNCT
cana-6232	29	65	10455110325	10455110325	NUM
cana-6232	29	66	,	,	PUNCT
cana-6232	29	67	mailto:%20narendasre@rait.ac.in	mailto:%20narendasre@rait.ac.in	ADJ
cana-6232	29	68	mailto:pritam.wani@rait.ac.in	mailto:pritam.wani@rait.ac.in	PROPN
cana-6232	29	69	mailto:manoharbhagirath@gmail.com	mailto:manoharbhagirath@gmail.com	PROPN
cana-6232	29	70	communications	communication	NOUN
cana-6232	29	71	on	on	ADP
cana-6232	29	72	applied	apply	VERB
cana-6232	29	73	nonlinear	nonlinear	ADJ
cana-6232	29	74	analysis	analysis	NOUN
cana-6232	29	75	issn	issn	NOUN
cana-6232	29	76	:	:	PUNCT
cana-6232	29	77	1074	1074	NUM
cana-6232	29	78	-	-	PUNCT
cana-6232	29	79	133x	133x	NUM
cana-6232	29	80	vol	vol	NOUN
cana-6232	29	81	32	32	NUM
cana-6232	29	82	no	no	NOUN
cana-6232	29	83	.	.	NOUN
cana-6232	29	84	3	3	NUM
cana-6232	29	85	(	(	PUNCT
cana-6232	29	86	2025	2025	NUM
cana-6232	29	87	)	)	PUNCT
cana-6232	29	88	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	29	89	1150	1150	NUM
cana-6232	29	90	31370573851	31370573851	NUM
cana-6232	29	91	,	,	PUNCT
cana-6232	29	92	94122207309	94122207309	NUM
cana-6232	29	93	,	,	PUNCT
cana-6232	29	94	282387593443	282387593443	NUM
cana-6232	29	95	,	,	PUNCT
cana-6232	29	96	847204723365	847204723365	NUM
cana-6232	29	97	,	,	PUNCT
cana-6232	29	98	2541698056171	2541698056171	NUM
cana-6232	29	99	,	,	PUNCT
cana-6232	29	100	7625261940669	7625261940669	NUM
cana-6232	29	101	is	be	AUX
cana-6232	29	102	a	a	DET
cana-6232	29	103	series	series	NOUN
cana-6232	29	104	of	of	ADP
cana-6232	29	105	number	number	NOUN
cana-6232	29	106	of	of	ADP
cana-6232	29	107	distinct	distinct	ADJ
cana-6232	29	108	topologies	topology	NOUN
cana-6232	29	109	on	on	ADP
cana-6232	29	110	an	an	DET
cana-6232	29	111	n	n	ADV
cana-6232	29	112	-	-	PUNCT
cana-6232	29	113	set	set	NOUN
cana-6232	29	114	that	that	PRON
cana-6232	29	115	have	have	VERB
cana-6232	29	116	exactly	exactly	ADV
cana-6232	29	117	4	4	NUM
cana-6232	29	118	open	open	ADJ
cana-6232	29	119	sets	set	NOUN
cana-6232	29	120	.	.	PUNCT
cana-6232	30	1	table	table	NOUN
cana-6232	30	2	1	1	NUM
cana-6232	30	3	shows	show	VERB
cana-6232	30	4	repeated	repeat	VERB
cana-6232	30	5	ratios	ratio	NOUN
cana-6232	30	6	of	of	ADP
cana-6232	30	7	the	the	DET
cana-6232	30	8	non	non	ADJ
cana-6232	30	9	-	-	ADJ
cana-6232	30	10	zero	zero	ADJ
cana-6232	30	11	terms	term	NOUN
cana-6232	30	12	of	of	ADP
cana-6232	30	13	the	the	DET
cana-6232	30	14	series	series	NOUN
cana-6232	30	15	a281773	a281773	PROPN
cana-6232	30	16	.	.	PUNCT
cana-6232	30	17	.	.	PUNCT
cana-6232	31	1	the	the	DET
cana-6232	31	2	series	series	NOUN
cana-6232	31	3	a281774	a281774	NOUN
cana-6232	31	4	:	:	PUNCT
cana-6232	31	5	0	0	NUM
cana-6232	31	6	,	,	PUNCT
cana-6232	31	7	0	0	NUM
cana-6232	31	8	,	,	PUNCT
cana-6232	31	9	0	0	NUM
cana-6232	31	10	,	,	PUNCT
cana-6232	31	11	6	6	NUM
cana-6232	31	12	,	,	PUNCT
cana-6232	31	13	72	72	NUM
cana-6232	31	14	,	,	PUNCT
cana-6232	31	15	630	630	NUM
cana-6232	31	16	,	,	PUNCT
cana-6232	31	17	4680	4680	NUM
cana-6232	31	18	,	,	PUNCT
cana-6232	31	19	31206	31206	NUM
cana-6232	31	20	,	,	PUNCT
cana-6232	31	21	193032	193032	NUM
cana-6232	31	22	,	,	PUNCT
cana-6232	31	23	1131990	1131990	NUM
cana-6232	31	24	,	,	PUNCT
cana-6232	31	25	6386760	6386760	NUM
cana-6232	31	26	,	,	PUNCT
cana-6232	31	27	35025606	35025606	NUM
cana-6232	31	28	,	,	PUNCT
cana-6232	31	29	188061192	188061192	NUM
cana-6232	31	30	,	,	PUNCT
cana-6232	31	31	993760950	993760950	NUM
cana-6232	31	32	,	,	PUNCT
cana-6232	31	33	5187840840	5187840840	NUM
cana-6232	31	34	,	,	PUNCT
cana-6232	31	35	26831095206	26831095206	NUM
cana-6232	31	36	,	,	PUNCT
cana-6232	31	37	137770476552	137770476552	NUM
cana-6232	31	38	,	,	PUNCT
cana-6232	31	39	703455087510	703455087510	NUM
cana-6232	31	40	,	,	PUNCT
cana-6232	31	41	3576115150920	3576115150920	NUM
cana-6232	31	42	,	,	PUNCT
cana-6232	31	43	18117222864006	18117222864006	NUM
cana-6232	31	44	,	,	PUNCT
cana-6232	31	45	91536570671112	91536570671112	NUM
cana-6232	31	46	,	,	PUNCT
cana-6232	31	47	461496288791670	461496288791670	NUM
cana-6232	31	48	,	,	PUNCT
cana-6232	31	49	2322770028381000	2322770028381000	NUM
cana-6232	31	50	,	,	PUNCT
cana-6232	31	51	11675109032796006	11675109032796006	NUM
cana-6232	31	52	is	be	AUX
cana-6232	31	53	a	a	DET
cana-6232	31	54	series	series	NOUN
cana-6232	31	55	of	of	ADP
cana-6232	31	56	number	number	NOUN
cana-6232	31	57	of	of	ADP
cana-6232	31	58	distinct	distinct	ADJ
cana-6232	31	59	topologies	topology	NOUN
cana-6232	31	60	on	on	ADP
cana-6232	31	61	an	an	DET
cana-6232	31	62	n	n	ADV
cana-6232	31	63	-	-	PUNCT
cana-6232	31	64	set	set	NOUN
cana-6232	31	65	that	that	PRON
cana-6232	31	66	have	have	VERB
cana-6232	31	67	exactly	exactly	ADV
cana-6232	31	68	6	6	NUM
cana-6232	31	69	open	open	ADJ
cana-6232	31	70	sets	set	NOUN
cana-6232	31	71	.	.	PUNCT
cana-6232	32	1	table	table	NOUN
cana-6232	32	2	2	2	NUM
cana-6232	32	3	shows	show	VERB
cana-6232	32	4	repeated	repeat	VERB
cana-6232	32	5	ratios	ratio	NOUN
cana-6232	32	6	of	of	ADP
cana-6232	32	7	the	the	DET
cana-6232	32	8	non	non	ADJ
cana-6232	32	9	-	-	ADJ
cana-6232	32	10	zero	zero	ADJ
cana-6232	32	11	terms	term	NOUN
cana-6232	32	12	of	of	ADP
cana-6232	32	13	the	the	DET
cana-6232	32	14	series	series	NOUN
cana-6232	32	15	a281774	a281774	PROPN
cana-6232	32	16	.	.	PUNCT
cana-6232	33	1	the	the	DET
cana-6232	33	2	series	series	PROPN
cana-6232	33	3	a281775	a281775	PROPN
cana-6232	33	4	:	:	PUNCT
cana-6232	33	5	0	0	NUM
cana-6232	33	6	,	,	PUNCT
cana-6232	33	7	0	0	NUM
cana-6232	33	8	,	,	PUNCT
cana-6232	33	9	0	0	NUM
cana-6232	33	10	,	,	PUNCT
cana-6232	33	11	0	0	NUM
cana-6232	33	12	,	,	PUNCT
cana-6232	33	13	54	54	NUM
cana-6232	33	14	,	,	PUNCT
cana-6232	33	15	780	780	NUM
cana-6232	33	16	,	,	PUNCT
cana-6232	33	17	7830	7830	NUM
cana-6232	33	18	,	,	PUNCT
cana-6232	33	19	67620	67620	NUM
cana-6232	33	20	,	,	PUNCT
cana-6232	33	21	535374	535374	NUM
cana-6232	33	22	,	,	PUNCT
cana-6232	33	23	3992940	3992940	NUM
cana-6232	33	24	,	,	PUNCT
cana-6232	33	25	28483110	28483110	NUM
cana-6232	33	26	,	,	PUNCT
cana-6232	33	27	196316340	196316340	NUM
cana-6232	33	28	,	,	PUNCT
cana-6232	33	29	1317106494	1317106494	NUM
cana-6232	33	30	,	,	PUNCT
cana-6232	33	31	8650141500	8650141500	NUM
cana-6232	33	32	,	,	PUNCT
cana-6232	33	33	55853351190	55853351190	NUM
cana-6232	33	34	,	,	PUNCT
cana-6232	33	35	355770438660	355770438660	NUM
cana-6232	33	36	,	,	PUNCT
cana-6232	33	37	2241509994414	2241509994414	NUM
cana-6232	33	38	,	,	PUNCT
cana-6232	33	39	13998294536460	13998294536460	NUM
cana-6232	33	40	,	,	PUNCT
cana-6232	33	41	86795899256070	86795899256070	NUM
cana-6232	33	42	,	,	PUNCT
cana-6232	33	43	535048203626580	535048203626580	NUM
cana-6232	33	44	,	,	PUNCT
cana-6232	33	45	3282628800655134	3282628800655134	NUM
cana-6232	33	46	,	,	PUNCT
cana-6232	33	47	20061393719417820	20061393719417820	NUM
cana-6232	33	48	,	,	PUNCT
cana-6232	33	49	communications	communication	NOUN
cana-6232	33	50	on	on	ADP
cana-6232	33	51	applied	apply	VERB
cana-6232	33	52	nonlinear	nonlinear	ADJ
cana-6232	33	53	analysis	analysis	NOUN
cana-6232	33	54	issn	issn	NOUN
cana-6232	33	55	:	:	PUNCT
cana-6232	33	56	1074	1074	NUM
cana-6232	33	57	-	-	PUNCT
cana-6232	33	58	133x	133x	NUM
cana-6232	33	59	vol	vol	NOUN
cana-6232	33	60	32	32	NUM
cana-6232	33	61	no	no	NOUN
cana-6232	33	62	.	.	NOUN
cana-6232	33	63	3	3	NUM
cana-6232	33	64	(	(	PUNCT
cana-6232	33	65	2025	2025	NUM
cana-6232	33	66	)	)	PUNCT
cana-6232	34	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	34	2	1151	1151	NUM
cana-6232	34	3	122212221633141750	122212221633141750	NUM
cana-6232	34	4	is	be	AUX
cana-6232	34	5	a	a	DET
cana-6232	34	6	series	series	NOUN
cana-6232	34	7	of	of	ADP
cana-6232	34	8	number	number	NOUN
cana-6232	34	9	of	of	ADP
cana-6232	34	10	distinct	distinct	ADJ
cana-6232	34	11	topologies	topology	NOUN
cana-6232	34	12	on	on	ADP
cana-6232	34	13	an	an	DET
cana-6232	34	14	n	n	ADV
cana-6232	34	15	-	-	PUNCT
cana-6232	34	16	set	set	NOUN
cana-6232	34	17	that	that	PRON
cana-6232	34	18	have	have	VERB
cana-6232	34	19	exactly	exactly	ADV
cana-6232	34	20	7	7	NUM
cana-6232	34	21	open	open	ADJ
cana-6232	34	22	sets	set	NOUN
cana-6232	34	23	.	.	PUNCT
cana-6232	35	1	table	table	NOUN
cana-6232	35	2	3	3	NUM
cana-6232	35	3	shows	show	VERB
cana-6232	35	4	repeated	repeat	VERB
cana-6232	35	5	ratios	ratio	NOUN
cana-6232	35	6	of	of	ADP
cana-6232	35	7	the	the	DET
cana-6232	35	8	non	non	ADJ
cana-6232	35	9	-	-	ADJ
cana-6232	35	10	zero	zero	ADJ
cana-6232	35	11	terms	term	NOUN
cana-6232	35	12	of	of	ADP
cana-6232	35	13	the	the	DET
cana-6232	35	14	series	series	NOUN
cana-6232	35	15	a281775	a281775	PROPN
cana-6232	35	16	.	.	PUNCT
cana-6232	36	1	the	the	DET
cana-6232	36	2	series	series	PROPN
cana-6232	36	3	a281776	a281776	PROPN
cana-6232	36	4	:	:	PUNCT
cana-6232	36	5	0	0	NUM
cana-6232	36	6	,	,	PUNCT
cana-6232	36	7	0	0	NUM
cana-6232	36	8	,	,	PUNCT
cana-6232	36	9	0	0	NUM
cana-6232	36	10	,	,	PUNCT
cana-6232	36	11	1	1	NUM
cana-6232	36	12	,	,	PUNCT
cana-6232	36	13	54	54	NUM
cana-6232	36	14	,	,	PUNCT
cana-6232	36	15	955	955	NUM
cana-6232	36	16	,	,	PUNCT
cana-6232	36	17	11760	11760	NUM
cana-6232	36	18	,	,	PUNCT
cana-6232	36	19	122941	122941	NUM
cana-6232	36	20	,	,	PUNCT
cana-6232	36	21	1175034	1175034	NUM
cana-6232	36	22	,	,	PUNCT
cana-6232	36	23	10595215	10595215	NUM
cana-6232	36	24	,	,	PUNCT
cana-6232	36	25	91506420	91506420	NUM
cana-6232	36	26	,	,	PUNCT
cana-6232	36	27	763624081	763624081	NUM
cana-6232	36	28	,	,	PUNCT
cana-6232	36	29	6194818014	6194818014	NUM
cana-6232	36	30	,	,	PUNCT
cana-6232	36	31	49084747075	49084747075	NUM
cana-6232	36	32	,	,	PUNCT
cana-6232	36	33	381338401080	381338401080	NUM
cana-6232	36	34	,	,	PUNCT
cana-6232	36	35	2914184784421	2914184784421	NUM
cana-6232	36	36	,	,	PUNCT
cana-6232	36	37	21965095364994	21965095364994	NUM
cana-6232	36	38	,	,	PUNCT
cana-6232	36	39	163656285828535	163656285828535	NUM
cana-6232	36	40	,	,	PUNCT
cana-6232	36	41	1207613518375740	1207613518375740	NUM
cana-6232	36	42	,	,	PUNCT
cana-6232	36	43	8838842878371961	8838842878371961	NUM
cana-6232	36	44	,	,	PUNCT
cana-6232	36	45	64253768864671974	64253768864671974	NUM
cana-6232	36	46	,	,	PUNCT
cana-6232	36	47	464416229729871595	464416229729871595	NUM
cana-6232	36	48	,	,	PUNCT
cana-6232	36	49	3340518964319750400	3340518964319750400	NUM
cana-6232	36	50	is	be	AUX
cana-6232	36	51	a	a	DET
cana-6232	36	52	series	series	NOUN
cana-6232	36	53	of	of	ADP
cana-6232	36	54	number	number	NOUN
cana-6232	36	55	of	of	ADP
cana-6232	36	56	distinct	distinct	ADJ
cana-6232	36	57	topologies	topology	NOUN
cana-6232	36	58	on	on	ADP
cana-6232	36	59	an	an	DET
cana-6232	36	60	n	n	ADV
cana-6232	36	61	-	-	PUNCT
cana-6232	36	62	set	set	NOUN
cana-6232	36	63	that	that	PRON
cana-6232	36	64	have	have	VERB
cana-6232	36	65	exactly	exactly	ADV
cana-6232	36	66	8	8	NUM
cana-6232	36	67	open	open	ADJ
cana-6232	36	68	sets	set	NOUN
cana-6232	36	69	.	.	PUNCT
cana-6232	37	1	table	table	NOUN
cana-6232	37	2	4	4	NUM
cana-6232	37	3	shows	show	VERB
cana-6232	37	4	repeated	repeat	VERB
cana-6232	37	5	ratios	ratio	NOUN
cana-6232	37	6	of	of	ADP
cana-6232	37	7	the	the	DET
cana-6232	37	8	non	non	ADJ
cana-6232	37	9	-	-	ADJ
cana-6232	37	10	zero	zero	ADJ
cana-6232	37	11	terms	term	NOUN
cana-6232	37	12	of	of	ADP
cana-6232	37	13	the	the	DET
cana-6232	37	14	series	series	NOUN
cana-6232	37	15	a281776	a281776	PROPN
cana-6232	37	16	.	.	PUNCT
cana-6232	38	1	the	the	DET
cana-6232	38	2	series	series	PROPN
cana-6232	38	3	a281777	a281777	PROPN
cana-6232	38	4	:	:	PUNCT
cana-6232	38	5	0	0	NUM
cana-6232	38	6	,	,	PUNCT
cana-6232	38	7	0	0	NUM
cana-6232	38	8	,	,	PUNCT
cana-6232	38	9	0	0	NUM
cana-6232	38	10	,	,	PUNCT
cana-6232	38	11	0	0	NUM
cana-6232	38	12	,	,	PUNCT
cana-6232	38	13	20	20	NUM
cana-6232	38	14	,	,	PUNCT
cana-6232	38	15	800	800	NUM
cana-6232	38	16	,	,	PUNCT
cana-6232	38	17	14260	14260	NUM
cana-6232	38	18	,	,	PUNCT
cana-6232	38	19	189280	189280	NUM
cana-6232	38	20	,	,	PUNCT
cana-6232	38	21	2181060	2181060	NUM
cana-6232	38	22	,	,	PUNCT
cana-6232	38	23	23241120	23241120	NUM
cana-6232	38	24	,	,	PUNCT
cana-6232	38	25	235737620	235737620	NUM
cana-6232	38	26	,	,	PUNCT
cana-6232	38	27	2308206560	2308206560	NUM
cana-6232	38	28	,	,	PUNCT
cana-6232	38	29	21979728100	21979728100	NUM
cana-6232	38	30	,	,	PUNCT
cana-6232	38	31	204477713440	204477713440	NUM
cana-6232	38	32	,	,	PUNCT
cana-6232	38	33	1864504348980	1864504348980	NUM
cana-6232	38	34	,	,	PUNCT
cana-6232	38	35	16707856095840	16707856095840	NUM
cana-6232	38	36	,	,	PUNCT
cana-6232	38	37	147469451067140	147469451067140	NUM
cana-6232	38	38	,	,	PUNCT
cana-6232	38	39	1284607771225760	1284607771225760	NUM
cana-6232	38	40	,	,	PUNCT
cana-6232	38	41	11063319237792340	11063319237792340	NUM
cana-6232	38	42	,	,	PUNCT
cana-6232	38	43	94343562846289120	94343562846289120	NUM
cana-6232	38	44	,	,	PUNCT
cana-6232	38	45	797685042851814180	797685042851814180	NUM
cana-6232	38	46	,	,	PUNCT
cana-6232	38	47	6694943490279586080	6694943490279586080	NUM
cana-6232	38	48	is	be	AUX
cana-6232	38	49	a	a	DET
cana-6232	38	50	series	series	NOUN
cana-6232	38	51	of	of	ADP
cana-6232	38	52	number	number	NOUN
cana-6232	38	53	of	of	ADP
cana-6232	38	54	distinct	distinct	ADJ
cana-6232	38	55	topologies	topology	NOUN
cana-6232	38	56	on	on	ADP
cana-6232	38	57	an	an	DET
cana-6232	38	58	n	n	ADV
cana-6232	38	59	-	-	PUNCT
cana-6232	38	60	set	set	NOUN
cana-6232	38	61	that	that	PRON
cana-6232	38	62	have	have	VERB
cana-6232	38	63	exactly	exactly	ADV
cana-6232	38	64	9	9	NUM
cana-6232	38	65	open	open	ADJ
cana-6232	38	66	sets	set	NOUN
cana-6232	38	67	.	.	PUNCT
cana-6232	39	1	table	table	NOUN
cana-6232	39	2	6	6	NUM
cana-6232	39	3	shows	show	VERB
cana-6232	39	4	repeated	repeat	VERB
cana-6232	39	5	ratios	ratio	NOUN
cana-6232	39	6	of	of	ADP
cana-6232	39	7	the	the	DET
cana-6232	39	8	non	non	ADJ
cana-6232	39	9	-	-	ADJ
cana-6232	39	10	zero	zero	ADJ
cana-6232	39	11	terms	term	NOUN
cana-6232	39	12	of	of	ADP
cana-6232	39	13	the	the	DET
cana-6232	39	14	series	series	NOUN
cana-6232	39	15	a281777	a281777	PROPN
cana-6232	39	16	.	.	PUNCT
cana-6232	40	1	communications	communication	NOUN
cana-6232	40	2	on	on	ADP
cana-6232	40	3	applied	apply	VERB
cana-6232	40	4	nonlinear	nonlinear	ADJ
cana-6232	40	5	analysis	analysis	NOUN
cana-6232	40	6	issn	issn	NOUN
cana-6232	40	7	:	:	PUNCT
cana-6232	40	8	1074	1074	NUM
cana-6232	40	9	-	-	PUNCT
cana-6232	40	10	133x	133x	NUM
cana-6232	40	11	vol	vol	NOUN
cana-6232	40	12	32	32	NUM
cana-6232	40	13	no	no	NOUN
cana-6232	40	14	.	.	NOUN
cana-6232	40	15	3	3	NUM
cana-6232	40	16	(	(	PUNCT
cana-6232	40	17	2025	2025	NUM
cana-6232	40	18	)	)	PUNCT
cana-6232	41	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	41	2	1152	1152	NUM
cana-6232	41	3	the	the	DET
cana-6232	41	4	series	series	NOUN
cana-6232	41	5	a2817778	a2817778	PROPN
cana-6232	41	6	0	0	NUM
cana-6232	41	7	,	,	PUNCT
cana-6232	41	8	0	0	NUM
cana-6232	41	9	,	,	PUNCT
cana-6232	41	10	0	0	NUM
cana-6232	41	11	,	,	PUNCT
cana-6232	41	12	0	0	NUM
cana-6232	41	13	,	,	PUNCT
cana-6232	41	14	24	24	NUM
cana-6232	41	15	,	,	PUNCT
cana-6232	41	16	900	900	NUM
cana-6232	41	17	,	,	PUNCT
cana-6232	41	18	18030	18030	NUM
cana-6232	41	19	,	,	PUNCT
cana-6232	41	20	276570	276570	NUM
cana-6232	41	21	,	,	PUNCT
cana-6232	41	22	3680964	3680964	NUM
cana-6232	41	23	,	,	PUNCT
cana-6232	41	24	45065160	45065160	NUM
cana-6232	41	25	,	,	PUNCT
cana-6232	41	26	523292010	523292010	NUM
cana-6232	41	27	,	,	PUNCT
cana-6232	41	28	5859909990	5859909990	NUM
cana-6232	41	29	,	,	PUNCT
cana-6232	41	30	63862084704	63862084704	NUM
cana-6232	41	31	,	,	PUNCT
cana-6232	41	32	680829769620	680829769620	NUM
cana-6232	41	33	,	,	PUNCT
cana-6232	41	34	7122705252390	7122705252390	NUM
cana-6232	41	35	,	,	PUNCT
cana-6232	41	36	73284607133010	73284607133010	NUM
cana-6232	41	37	,	,	PUNCT
cana-6232	41	38	742843170653244	742843170653244	NUM
cana-6232	41	39	,	,	PUNCT
cana-6232	41	40	7429450873589280	7429450873589280	NUM
cana-6232	41	41	,	,	PUNCT
cana-6232	41	42	73416173732059170	73416173732059170	NUM
cana-6232	41	43	,	,	PUNCT
cana-6232	41	44	717721593866613630	717721593866613630	NUM
cana-6232	41	45	,	,	PUNCT
cana-6232	41	46	6949589106333898584	6949589106333898584	NUM
cana-6232	41	47	,	,	PUNCT
cana-6232	41	48	66721599431782204140	66721599431782204140	NUM
cana-6232	41	49	is	be	AUX
cana-6232	41	50	a	a	DET
cana-6232	41	51	series	series	NOUN
cana-6232	41	52	of	of	ADP
cana-6232	41	53	number	number	NOUN
cana-6232	41	54	of	of	ADP
cana-6232	41	55	distinct	distinct	ADJ
cana-6232	41	56	topologies	topology	NOUN
cana-6232	41	57	on	on	ADP
cana-6232	41	58	an	an	DET
cana-6232	41	59	n	n	ADV
cana-6232	41	60	-	-	PUNCT
cana-6232	41	61	set	set	NOUN
cana-6232	41	62	that	that	PRON
cana-6232	41	63	have	have	VERB
cana-6232	41	64	exactly	exactly	ADV
cana-6232	41	65	10	10	NUM
cana-6232	41	66	open	open	ADJ
cana-6232	41	67	sets	set	NOUN
cana-6232	41	68	.	.	PUNCT
cana-6232	42	1	table	table	NOUN
cana-6232	42	2	7	7	NUM
cana-6232	42	3	shows	show	VERB
cana-6232	42	4	repeated	repeat	VERB
cana-6232	42	5	ratios	ratio	NOUN
cana-6232	42	6	of	of	ADP
cana-6232	42	7	the	the	DET
cana-6232	42	8	non	non	ADJ
cana-6232	42	9	-	-	ADJ
cana-6232	42	10	zero	zero	ADJ
cana-6232	42	11	terms	term	NOUN
cana-6232	42	12	of	of	ADP
cana-6232	42	13	the	the	DET
cana-6232	42	14	series	series	NOUN
cana-6232	42	15	a281778	a281778	PROPN
cana-6232	42	16	.	.	PUNCT
cana-6232	43	1	the	the	DET
cana-6232	43	2	series	series	NOUN
cana-6232	43	3	a2817779	a2817779	PROPN
cana-6232	43	4	:	:	PUNCT
cana-6232	43	5	0	0	NUM
cana-6232	43	6	,	,	PUNCT
cana-6232	43	7	0	0	NUM
cana-6232	43	8	,	,	PUNCT
cana-6232	43	9	0	0	NUM
cana-6232	43	10	,	,	PUNCT
cana-6232	43	11	0	0	NUM
cana-6232	43	12	,	,	PUNCT
cana-6232	43	13	0	0	NUM
cana-6232	43	14	,	,	PUNCT
cana-6232	43	15	500	500	NUM
cana-6232	43	16	,	,	PUNCT
cana-6232	43	17	16980	16980	NUM
cana-6232	43	18	,	,	PUNCT
cana-6232	43	19	342160	342160	NUM
cana-6232	43	20	,	,	PUNCT
cana-6232	43	21	5486040	5486040	NUM
cana-6232	43	22	,	,	PUNCT
cana-6232	43	23	77926380	77926380	NUM
cana-6232	43	24	,	,	PUNCT
cana-6232	43	25	1031160060	1031160060	NUM
cana-6232	43	26	,	,	PUNCT
cana-6232	43	27	13047426920	13047426920	NUM
cana-6232	43	28	,	,	PUNCT
cana-6232	43	29	160124426880	160124426880	NUM
cana-6232	43	30	,	,	PUNCT
cana-6232	43	31	1921105846660	1921105846660	NUM
cana-6232	43	32	,	,	PUNCT
cana-6232	43	33	22632779709540	22632779709540	NUM
cana-6232	43	34	,	,	PUNCT
cana-6232	43	35	262513678889280	262513678889280	NUM
cana-6232	43	36	,	,	PUNCT
cana-6232	43	37	3002768326532520	3002768326532520	NUM
cana-6232	43	38	,	,	PUNCT
cana-6232	43	39	33914184260797340	33914184260797340	NUM
cana-6232	43	40	,	,	PUNCT
cana-6232	43	41	378596540805849420	378596540805849420	NUM
cana-6232	43	42	,	,	PUNCT
cana-6232	43	43	4181330954328313240	4181330954328313240	NUM
cana-6232	43	44	,	,	PUNCT
cana-6232	43	45	45727913513193402960	45727913513193402960	NUM
cana-6232	43	46	,	,	PUNCT
cana-6232	43	47	495618273676457274420	495618273676457274420	NUM
cana-6232	43	48	is	be	AUX
cana-6232	43	49	a	a	DET
cana-6232	43	50	series	series	NOUN
cana-6232	43	51	of	of	ADP
cana-6232	43	52	number	number	NOUN
cana-6232	43	53	of	of	ADP
cana-6232	43	54	distinct	distinct	ADJ
cana-6232	43	55	topologies	topology	NOUN
cana-6232	43	56	on	on	ADP
cana-6232	43	57	an	an	DET
cana-6232	43	58	n	n	ADV
cana-6232	43	59	-	-	PUNCT
cana-6232	43	60	set	set	NOUN
cana-6232	43	61	that	that	PRON
cana-6232	43	62	have	have	VERB
cana-6232	43	63	exactly	exactly	ADV
cana-6232	43	64	11	11	NUM
cana-6232	43	65	open	open	ADJ
cana-6232	43	66	sets	set	NOUN
cana-6232	43	67	.	.	PUNCT
cana-6232	44	1	table	table	NOUN
cana-6232	44	2	8	8	NUM
cana-6232	44	3	shows	show	VERB
cana-6232	44	4	repeated	repeat	VERB
cana-6232	44	5	ratios	ratio	NOUN
cana-6232	44	6	of	of	ADP
cana-6232	44	7	the	the	DET
cana-6232	44	8	non	non	ADJ
cana-6232	44	9	-	-	ADJ
cana-6232	44	10	zero	zero	ADJ
cana-6232	44	11	terms	term	NOUN
cana-6232	44	12	of	of	ADP
cana-6232	44	13	the	the	DET
cana-6232	44	14	series	series	NOUN
cana-6232	44	15	a281779	a281779	PROPN
cana-6232	44	16	.	.	PUNCT
cana-6232	45	1	communications	communication	NOUN
cana-6232	45	2	on	on	ADP
cana-6232	45	3	applied	apply	VERB
cana-6232	45	4	nonlinear	nonlinear	ADJ
cana-6232	45	5	analysis	analysis	NOUN
cana-6232	45	6	issn	issn	NOUN
cana-6232	45	7	:	:	PUNCT
cana-6232	45	8	1074	1074	NUM
cana-6232	45	9	-	-	PUNCT
cana-6232	45	10	133x	133x	NUM
cana-6232	45	11	vol	vol	NOUN
cana-6232	45	12	32	32	NUM
cana-6232	45	13	no	no	NOUN
cana-6232	45	14	.	.	NOUN
cana-6232	45	15	3	3	NUM
cana-6232	45	16	(	(	PUNCT
cana-6232	45	17	2025	2025	NUM
cana-6232	45	18	)	)	PUNCT
cana-6232	45	19	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	45	20	1153	1153	NUM
cana-6232	45	21	the	the	DET
cana-6232	45	22	series	series	PROPN
cana-6232	45	23	a2817780	a2817780	PROPN
cana-6232	45	24	:	:	PUNCT
cana-6232	45	25	0	0	NUM
cana-6232	45	26	,	,	PUNCT
cana-6232	45	27	0	0	NUM
cana-6232	45	28	,	,	PUNCT
cana-6232	45	29	0	0	NUM
cana-6232	45	30	,	,	PUNCT
cana-6232	45	31	0	0	NUM
cana-6232	45	32	,	,	PUNCT
cana-6232	45	33	12	12	NUM
cana-6232	45	34	,	,	PUNCT
cana-6232	45	35	660	660	NUM
cana-6232	45	36	,	,	PUNCT
cana-6232	45	37	20400	20400	NUM
cana-6232	45	38	,	,	PUNCT
cana-6232	45	39	445620	445620	NUM
cana-6232	45	40	,	,	PUNCT
cana-6232	45	41	7977732	7977732	NUM
cana-6232	45	42	,	,	PUNCT
cana-6232	45	43	126860580	126860580	NUM
cana-6232	45	44	,	,	PUNCT
cana-6232	45	45	1873839000	1873839000	NUM
cana-6232	45	46	,	,	PUNCT
cana-6232	45	47	26381789940	26381789940	NUM
cana-6232	45	48	,	,	PUNCT
cana-6232	45	49	359484471852	359484471852	NUM
cana-6232	45	50	,	,	PUNCT
cana-6232	45	51	4784481401700	4784481401700	NUM
cana-6232	45	52	,	,	PUNCT
cana-6232	45	53	62538498859200	62538498859200	NUM
cana-6232	45	54	,	,	PUNCT
cana-6232	45	55	805447464281460	805447464281460	NUM
cana-6232	45	56	,	,	PUNCT
cana-6232	45	57	10241415118476372	10241415118476372	NUM
cana-6232	45	58	,	,	PUNCT
cana-6232	45	59	128722997969290020	128722997969290020	NUM
cana-6232	45	60	,	,	PUNCT
cana-6232	45	61	1600670708273985000	1600670708273985000	NUM
cana-6232	45	62	,	,	PUNCT
cana-6232	45	63	19705915838479512180	19705915838479512180	NUM
cana-6232	45	64	,	,	PUNCT
cana-6232	45	65	240330009637668935292	240330009637668935292	NUM
cana-6232	45	66	is	be	AUX
cana-6232	45	67	a	a	DET
cana-6232	45	68	series	series	NOUN
cana-6232	45	69	of	of	ADP
cana-6232	45	70	number	number	NOUN
cana-6232	45	71	of	of	ADP
cana-6232	45	72	distinct	distinct	ADJ
cana-6232	45	73	topologies	topology	NOUN
cana-6232	45	74	on	on	ADP
cana-6232	45	75	an	an	DET
cana-6232	45	76	n	n	ADV
cana-6232	45	77	-	-	PUNCT
cana-6232	45	78	set	set	NOUN
cana-6232	45	79	that	that	PRON
cana-6232	45	80	have	have	VERB
cana-6232	45	81	exactly	exactly	ADV
cana-6232	45	82	12	12	NUM
cana-6232	45	83	open	open	ADJ
cana-6232	45	84	sets	set	NOUN
cana-6232	45	85	.	.	PUNCT
cana-6232	46	1	table	table	NOUN
cana-6232	46	2	8	8	NUM
cana-6232	46	3	shows	show	VERB
cana-6232	46	4	repeated	repeat	VERB
cana-6232	46	5	ratios	ratio	NOUN
cana-6232	46	6	of	of	ADP
cana-6232	46	7	the	the	DET
cana-6232	46	8	non	non	ADJ
cana-6232	46	9	-	-	ADJ
cana-6232	46	10	zero	zero	ADJ
cana-6232	46	11	terms	term	NOUN
cana-6232	46	12	of	of	ADP
cana-6232	46	13	the	the	DET
cana-6232	46	14	series	series	NOUN
cana-6232	46	15	a281780	a281780	PROPN
cana-6232	46	16	.	.	PUNCT
cana-6232	47	1	from	from	ADP
cana-6232	47	2	the	the	DET
cana-6232	47	3	above	above	ADJ
cana-6232	47	4	tables	table	NOUN
cana-6232	47	5	,	,	PUNCT
cana-6232	47	6	one	one	PRON
cana-6232	47	7	can	can	AUX
cana-6232	47	8	observe	observe	VERB
cana-6232	47	9	that	that	SCONJ
cana-6232	47	10	repeated	repeat	VERB
cana-6232	47	11	ratios	ratio	NOUN
cana-6232	47	12	for	for	ADP
cana-6232	47	13	all	all	PRON
cana-6232	47	14	above	above	ADP
cana-6232	47	15	series	series	NOUN
cana-6232	47	16	follow	follow	VERB
cana-6232	47	17	the	the	DET
cana-6232	47	18	same	same	ADJ
cana-6232	47	19	pattern	pattern	NOUN
cana-6232	47	20	bn	bn	ADP
cana-6232	47	21	>	>	X
cana-6232	47	22	1	1	NUM
cana-6232	47	23	,	,	PUNCT
cana-6232	47	24	cn	cn	X
cana-6232	47	25	<	<	X
cana-6232	47	26	1	1	NUM
cana-6232	47	27	,	,	PUNCT
cana-6232	47	28	dn	dn	ADP
cana-6232	47	29	>	>	X
cana-6232	47	30	1	1	NUM
cana-6232	47	31	,	,	PUNCT
cana-6232	47	32	en	en	X
cana-6232	47	33	<	<	X
cana-6232	47	34	1	1	NUM
cana-6232	47	35	and	and	CCONJ
cana-6232	47	36	so	so	ADV
cana-6232	47	37	on	on	ADV
cana-6232	47	38	.	.	PUNCT
cana-6232	48	1	also	also	ADV
cana-6232	48	2	one	one	PRON
cana-6232	48	3	can	can	AUX
cana-6232	48	4	observe	observe	VERB
cana-6232	48	5	that	that	SCONJ
cana-6232	48	6	the	the	DET
cana-6232	48	7	sequence	sequence	NOUN
cana-6232	48	8	of	of	ADP
cana-6232	48	9	repeated	repeat	VERB
cana-6232	48	10	ratios	ratio	NOUN
cana-6232	48	11	{	{	PUNCT
cana-6232	48	12	bn	bn	X
cana-6232	48	13	,	,	PUNCT
cana-6232	48	14	cn	cn	PROPN
cana-6232	48	15	,	,	PUNCT
cana-6232	48	16	dn	dn	PROPN
cana-6232	48	17	,	,	PUNCT
cana-6232	48	18	....	....	PUNCT
cana-6232	48	19	}	}	PUNCT
cana-6232	48	20	oscillates	oscillate	VERB
cana-6232	48	21	around	around	ADP
cana-6232	48	22	1	1	NUM
cana-6232	48	23	for	for	ADP
cana-6232	48	24	each	each	DET
cana-6232	48	25	series	series	NOUN
cana-6232	48	26	.	.	PUNCT
cana-6232	49	1	after	after	ADP
cana-6232	49	2	approximating	approximate	VERB
cana-6232	49	3	these	these	DET
cana-6232	49	4	repeated	repeat	VERB
cana-6232	49	5	ratios	ratio	NOUN
cana-6232	49	6	to	to	ADP
cana-6232	49	7	1	1	NUM
cana-6232	49	8	,	,	PUNCT
cana-6232	49	9	we	we	PRON
cana-6232	49	10	can	can	AUX
cana-6232	49	11	find	find	VERB
cana-6232	49	12	better	well	ADJ
cana-6232	49	13	upper	upper	ADJ
cana-6232	49	14	and	and	CCONJ
cana-6232	49	15	lower	low	ADJ
cana-6232	49	16	bounds	bound	NOUN
cana-6232	49	17	for	for	ADP
cana-6232	49	18	each	each	DET
cana-6232	49	19	series	series	NOUN
cana-6232	49	20	as	as	ADP
cana-6232	49	21	in	in	ADP
cana-6232	49	22	[	[	X
cana-6232	49	23	3	3	NUM
cana-6232	49	24	,	,	PUNCT
cana-6232	49	25	4	4	NUM
cana-6232	49	26	]	]	PUNCT
cana-6232	49	27	.	.	PUNCT
cana-6232	50	1	conclusion	conclusion	NOUN
cana-6232	50	2	in	in	ADP
cana-6232	50	3	this	this	DET
cana-6232	50	4	paper	paper	NOUN
cana-6232	50	5	,	,	PUNCT
cana-6232	50	6	we	we	PRON
cana-6232	50	7	have	have	AUX
cana-6232	50	8	calculated	calculate	VERB
cana-6232	50	9	the	the	DET
cana-6232	50	10	repeated	repeat	VERB
cana-6232	50	11	ratios	ratio	NOUN
cana-6232	50	12	for	for	ADP
cana-6232	50	13	the	the	DET
cana-6232	50	14	series	series	NOUN
cana-6232	50	15	of	of	ADP
cana-6232	50	16	topologies	topology	NOUN
cana-6232	50	17	defined	define	VERB
cana-6232	50	18	on	on	ADP
cana-6232	50	19	n	n	CCONJ
cana-6232	50	20	-	-	PUNCT
cana-6232	50	21	sets	set	NOUN
cana-6232	50	22	with	with	ADP
cana-6232	50	23	exactly	exactly	ADV
cana-6232	50	24	r	r	NOUN
cana-6232	50	25	-	-	PUNCT
cana-6232	50	26	open	open	ADJ
cana-6232	50	27	sets	set	NOUN
cana-6232	50	28	.	.	PUNCT
cana-6232	51	1	we	we	PRON
cana-6232	51	2	observed	observe	VERB
cana-6232	51	3	that	that	SCONJ
cana-6232	51	4	the	the	DET
cana-6232	51	5	sequence	sequence	NOUN
cana-6232	51	6	of	of	ADP
cana-6232	51	7	repeated	repeat	VERB
cana-6232	51	8	ratios	ratio	NOUN
cana-6232	51	9	{	{	PUNCT
cana-6232	51	10	an	an	PRON
cana-6232	51	11	,	,	PUNCT
cana-6232	51	12	bn	bn	NOUN
cana-6232	51	13	,	,	PUNCT
cana-6232	51	14	cn	cn	PROPN
cana-6232	51	15	,	,	PUNCT
cana-6232	51	16	dn	dn	PROPN
cana-6232	51	17	,	,	PUNCT
cana-6232	51	18	....	....	PUNCT
cana-6232	51	19	}	}	PUNCT
cana-6232	51	20	oscillates	oscillate	VERB
cana-6232	51	21	around	around	ADP
cana-6232	51	22	1	1	NUM
cana-6232	51	23	.	.	PUNCT
cana-6232	52	1	hence	hence	ADV
cana-6232	52	2	we	we	PRON
cana-6232	52	3	propose	propose	VERB
cana-6232	52	4	the	the	DET
cana-6232	52	5	conjecture	conjecture	NOUN
cana-6232	52	6	that	that	SCONJ
cana-6232	52	7	the	the	DET
cana-6232	52	8	sequence	sequence	NOUN
cana-6232	52	9	of	of	ADP
cana-6232	52	10	repeated	repeat	VERB
cana-6232	52	11	ratios	ratio	NOUN
cana-6232	52	12	converges	converge	VERB
cana-6232	52	13	to	to	ADP
cana-6232	52	14	1	1	NUM
cana-6232	52	15	for	for	ADP
cana-6232	52	16	the	the	DET
cana-6232	52	17	series	series	NOUN
cana-6232	52	18	of	of	ADP
cana-6232	52	19	topologies	topology	NOUN
cana-6232	52	20	defined	define	VERB
cana-6232	52	21	on	on	ADP
cana-6232	52	22	n	n	CCONJ
cana-6232	52	23	-	-	PUNCT
cana-6232	52	24	sets	set	NOUN
cana-6232	52	25	with	with	ADP
cana-6232	52	26	exactly	exactly	ADV
cana-6232	52	27	r	r	NOUN
cana-6232	52	28	-	-	PUNCT
cana-6232	52	29	open	open	ADJ
cana-6232	52	30	sets	set	NOUN
cana-6232	52	31	.	.	PUNCT
cana-6232	53	1	acknowledgments	acknowledgment	NOUN
cana-6232	53	2	we	we	PRON
cana-6232	53	3	are	be	AUX
cana-6232	53	4	thankful	thankful	ADJ
cana-6232	53	5	to	to	ADP
cana-6232	53	6	dr	dr	PROPN
cana-6232	53	7	.	.	PROPN
cana-6232	53	8	mukesh	mukesh	PROPN
cana-6232	53	9	d.	d.	PROPN
cana-6232	53	10	patil	patil	PROPN
cana-6232	53	11	,	,	PUNCT
cana-6232	53	12	the	the	DET
cana-6232	53	13	principal	principal	NOUN
cana-6232	53	14	,	,	PUNCT
cana-6232	53	15	for	for	ADP
cana-6232	53	16	his	his	PRON
cana-6232	53	17	continuous	continuous	ADJ
cana-6232	53	18	guidance	guidance	NOUN
cana-6232	53	19	and	and	CCONJ
cana-6232	53	20	support	support	NOUN
cana-6232	53	21	throughout	throughout	ADP
cana-6232	53	22	the	the	DET
cana-6232	53	23	research	research	NOUN
cana-6232	53	24	work	work	NOUN
cana-6232	53	25	.	.	PUNCT
cana-6232	54	1	we	we	PRON
cana-6232	54	2	would	would	AUX
cana-6232	54	3	like	like	VERB
cana-6232	54	4	to	to	PART
cana-6232	54	5	extend	extend	VERB
cana-6232	54	6	my	my	PRON
cana-6232	54	7	heartfelt	heartfelt	ADJ
cana-6232	54	8	gratitude	gratitude	NOUN
cana-6232	54	9	to	to	ADP
cana-6232	54	10	dr	dr	PROPN
cana-6232	54	11	.	.	PROPN
cana-6232	54	12	rajendra	rajendra	PROPN
cana-6232	54	13	p.	p.	PROPN
cana-6232	54	14	communications	communication	NOUN
cana-6232	54	15	on	on	ADP
cana-6232	54	16	applied	apply	VERB
cana-6232	54	17	nonlinear	nonlinear	ADJ
cana-6232	54	18	analysis	analysis	NOUN
cana-6232	54	19	issn	issn	NOUN
cana-6232	54	20	:	:	PUNCT
cana-6232	54	21	1074	1074	NUM
cana-6232	54	22	-	-	PUNCT
cana-6232	54	23	133x	133x	NUM
cana-6232	54	24	vol	vol	NOUN
cana-6232	54	25	32	32	NUM
cana-6232	54	26	no	no	NOUN
cana-6232	54	27	.	.	NOUN
cana-6232	54	28	3	3	NUM
cana-6232	54	29	(	(	PUNCT
cana-6232	54	30	2025	2025	NUM
cana-6232	54	31	)	)	PUNCT
cana-6232	54	32	https://internationalpubls.com	https://internationalpubls.com	X
cana-6232	54	33	1154	1154	NUM
cana-6232	54	34	deore	deore	PROPN
cana-6232	54	35	,	,	PUNCT
cana-6232	54	36	our	our	PRON
cana-6232	54	37	respected	respected	ADJ
cana-6232	54	38	mentor	mentor	NOUN
cana-6232	54	39	,	,	PUNCT
cana-6232	54	40	for	for	ADP
cana-6232	54	41	his	his	PRON
cana-6232	54	42	invaluable	invaluable	ADJ
cana-6232	54	43	guidance	guidance	NOUN
cana-6232	54	44	and	and	CCONJ
cana-6232	54	45	unwavering	unwavere	VERB
cana-6232	54	46	support	support	NOUN
cana-6232	54	47	throughout	throughout	ADP
cana-6232	54	48	this	this	DET
cana-6232	54	49	research	research	NOUN
cana-6232	54	50	work	work	NOUN
cana-6232	54	51	.	.	PUNCT
cana-6232	55	1	references	reference	NOUN
cana-6232	55	2	[	[	X
cana-6232	55	3	1	1	NUM
cana-6232	55	4	]	]	PUNCT
cana-6232	55	5	g.	g.	PROPN
cana-6232	55	6	h.	h.	PROPN
cana-6232	55	7	patil	patil	PROPN
cana-6232	55	8	and	and	CCONJ
cana-6232	55	9	m.	m.	PROPN
cana-6232	55	10	s.	s.	PROPN
cana-6232	55	11	chaudhary	chaudhary	PROPN
cana-6232	55	12	,	,	PUNCT
cana-6232	55	13	a	a	DET
cana-6232	55	14	recursive	recursive	ADJ
cana-6232	55	15	determination	determination	NOUN
cana-6232	55	16	of	of	ADP
cana-6232	55	17	topologies	topology	NOUN
cana-6232	55	18	on	on	ADP
cana-6232	55	19	finite	finite	ADJ
cana-6232	55	20	sets	set	NOUN
cana-6232	55	21	,	,	PUNCT
cana-6232	55	22	indian	indian	ADJ
cana-6232	55	23	journal	journal	NOUN
cana-6232	55	24	of	of	ADP
cana-6232	55	25	pure	pure	ADJ
cana-6232	55	26	and	and	CCONJ
cana-6232	55	27	applied	applied	ADJ
cana-6232	55	28	mathematics	mathematic	NOUN
cana-6232	55	29	,	,	PUNCT
cana-6232	55	30	26(2),(1995	26(2),(1995	NUM
cana-6232	55	31	)	)	PUNCT
cana-6232	55	32	,	,	PUNCT
cana-6232	55	33	143–148	143–148	NUM
cana-6232	55	34	.	.	PUNCT
cana-6232	56	1	[	[	X
cana-6232	56	2	2	2	NUM
cana-6232	56	3	]	]	X
cana-6232	56	4	n.	n.	PROPN
cana-6232	56	5	j.	j.	PROPN
cana-6232	56	6	a.	a.	PROPN
cana-6232	56	7	sloane	sloane	PROPN
cana-6232	56	8	,	,	PUNCT
cana-6232	56	9	online	online	ADJ
cana-6232	56	10	encyclopedia	encyclopedia	NOUN
cana-6232	56	11	of	of	ADP
cana-6232	56	12	integer	integer	NOUN
cana-6232	56	13	sequences	sequence	NOUN
cana-6232	56	14	,	,	PUNCT
cana-6232	56	15	at	at	ADP
cana-6232	56	16	http://oeis.org	http://oeis.org	PROPN
cana-6232	56	17	[	[	X
cana-6232	56	18	3	3	NUM
cana-6232	56	19	]	]	X
cana-6232	56	20	n.	n.	PROPN
cana-6232	56	21	r.	r.	PROPN
cana-6232	56	22	dasre	dasre	PROPN
cana-6232	56	23	and	and	CCONJ
cana-6232	56	24	pritam	pritam	PROPN
cana-6232	56	25	gujarathi	gujarathi	PROPN
cana-6232	56	26	,	,	PUNCT
cana-6232	56	27	topologies	topology	NOUN
cana-6232	56	28	on	on	ADP
cana-6232	56	29	finite	finite	ADJ
cana-6232	56	30	sets	set	NOUN
cana-6232	56	31	,	,	PUNCT
cana-6232	56	32	international	international	ADJ
cana-6232	56	33	journal	journal	NOUN
cana-6232	56	34	of	of	ADP
cana-6232	56	35	pure	pure	ADJ
cana-6232	56	36	and	and	CCONJ
cana-6232	56	37	applied	applied	ADJ
cana-6232	56	38	mathematics	mathematic	NOUN
cana-6232	56	39	,	,	PUNCT
cana-6232	56	40	118(1	118(1	NUM
cana-6232	56	41	)	)	PUNCT
cana-6232	56	42	,	,	PUNCT
cana-6232	56	43	(	(	PUNCT
cana-6232	56	44	2018	2018	NUM
cana-6232	56	45	)	)	PUNCT
cana-6232	56	46	,	,	PUNCT
cana-6232	56	47	39	39	NUM
cana-6232	56	48	-	-	SYM
cana-6232	56	49	48	48	NUM
cana-6232	56	50	.	.	PUNCT
cana-6232	57	1	[	[	X
cana-6232	57	2	4	4	X
cana-6232	57	3	]	]	X
cana-6232	57	4	n.	n.	PROPN
cana-6232	57	5	r.	r.	PROPN
cana-6232	57	6	dasre	dasre	PROPN
cana-6232	57	7	and	and	CCONJ
cana-6232	57	8	pritam	pritam	PROPN
cana-6232	57	9	gujarathi	gujarathi	PROPN
cana-6232	57	10	,	,	PUNCT
cana-6232	57	11	,	,	PUNCT
cana-6232	57	12	presented	present	VERB
cana-6232	57	13	at	at	ADP
cana-6232	57	14	4th	4th	ADJ
cana-6232	57	15	international	international	ADJ
cana-6232	57	16	conference	conference	NOUN
cana-6232	57	17	on	on	ADP
cana-6232	57	18	computing	compute	VERB
cana-6232	57	19	in	in	ADP
cana-6232	57	20	engineering	engineering	NOUN
cana-6232	57	21	and	and	CCONJ
cana-6232	57	22	technology	technology	NOUN
cana-6232	57	23	(	(	PUNCT
cana-6232	57	24	iccet	iccet	PROPN
cana-6232	57	25	)	)	PUNCT
cana-6232	57	26	,	,	PUNCT
cana-6232	57	27	9	9	NUM
cana-6232	57	28	-	-	SYM
cana-6232	57	29	11	11	NUM
cana-6232	57	30	jan	jan	PROPN
cana-6232	57	31	,	,	PUNCT
cana-6232	57	32	2019	2019	NUM
cana-6232	57	33	,	,	PUNCT
cana-6232	57	34	aurangabad	aurangabad	PROPN
cana-6232	57	35	,	,	PUNCT
cana-6232	57	36	india	india	PROPN
cana-6232	57	37	.	.	PUNCT
cana-6232	58	1	[	[	X
cana-6232	58	2	5	5	X
cana-6232	58	3	]	]	PUNCT
cana-6232	58	4	v.	v.	ADP
cana-6232	58	5	kishnamurthy	kishnamurthy	ADJ
cana-6232	58	6	,	,	PUNCT
cana-6232	58	7	on	on	ADP
cana-6232	58	8	the	the	DET
cana-6232	58	9	number	number	NOUN
cana-6232	58	10	of	of	ADP
cana-6232	58	11	topologies	topology	NOUN
cana-6232	58	12	on	on	ADP
cana-6232	58	13	a	a	DET
cana-6232	58	14	finite	finite	ADJ
cana-6232	58	15	set	set	NOUN
cana-6232	58	16	,	,	PUNCT
cana-6232	58	17	the	the	DET
cana-6232	58	18	american	american	PROPN
cana-6232	58	19	mathematical	mathematical	PROPN
cana-6232	58	20	monthly	monthly	ADV
cana-6232	58	21	,	,	PUNCT
cana-6232	58	22	73(2	73(2	NOUN
cana-6232	58	23	)	)	PUNCT
cana-6232	58	24	,	,	PUNCT
cana-6232	58	25	(	(	PUNCT
cana-6232	58	26	1966	1966	NUM
cana-6232	58	27	)	)	PUNCT
cana-6232	58	28	,	,	PUNCT
cana-6232	58	29	154–157	154–157	NUM
cana-6232	58	30	.	.	PUNCT