id	sid	tid	token	lemma	pos
cana-1320	1	1	communications	communication	NOUN
cana-1320	1	2	on	on	ADP
cana-1320	1	3	applied	apply	VERB
cana-1320	1	4	nonlinear	nonlinear	ADJ
cana-1320	1	5	analysis	analysis	NOUN
cana-1320	1	6	issn	issn	NOUN
cana-1320	1	7	:	:	PUNCT
cana-1320	1	8	1074	1074	NUM
cana-1320	1	9	-	-	PUNCT
cana-1320	1	10	133x	133x	NUM
cana-1320	1	11	vol	vol	NOUN
cana-1320	1	12	31	31	NUM
cana-1320	1	13	no	no	NOUN
cana-1320	1	14	.	.	PUNCT
cana-1320	2	1	7s	7	NOUN
cana-1320	2	2	(	(	PUNCT
cana-1320	2	3	2024	2024	NUM
cana-1320	2	4	)	)	PUNCT
cana-1320	2	5	414	414	NUM
cana-1320	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	2	7	a	a	DET
cana-1320	2	8	research	research	NOUN
cana-1320	2	9	in	in	ADP
cana-1320	2	10	bipolar	bipolar	ADJ
cana-1320	2	11	valued	value	VERB
cana-1320	2	12	vague	vague	ADJ
cana-1320	2	13	subfields	subfield	NOUN
cana-1320	2	14	of	of	ADP
cana-1320	2	15	a	a	DET
cana-1320	2	16	field	field	NOUN
cana-1320	2	17	1	1	NUM
cana-1320	2	18	k.bala	k.bala	NOUN
cana-1320	2	19	bavithra	bavithra	NOUN
cana-1320	2	20	,	,	PUNCT
cana-1320	2	21	2	2	NUM
cana-1320	2	22	m.muthusamy	m.muthusamy	NOUN
cana-1320	2	23	&	&	CCONJ
cana-1320	2	24	3	3	NUM
cana-1320	2	25	k.arjunan	k.arjunan	NOUN
cana-1320	2	26	1	1	NUM
cana-1320	2	27	.	.	PUNCT
cana-1320	3	1	department	department	NOUN
cana-1320	3	2	of	of	ADP
cana-1320	3	3	mathematics	mathematic	NOUN
cana-1320	3	4	,	,	PUNCT
cana-1320	3	5	sonaimeenal	sonaimeenal	ADJ
cana-1320	3	6	arts	art	NOUN
cana-1320	3	7	and	and	CCONJ
cana-1320	3	8	science	science	NOUN
cana-1320	3	9	college(affiliated	college(affiliate	VERB
cana-1320	3	10	to	to	PART
cana-1320	3	11	alagappa	alagappa	VERB
cana-1320	3	12	university	university	PROPN
cana-1320	3	13	,	,	PUNCT
cana-1320	3	14	karaikudi	karaikudi	PROPN
cana-1320	3	15	)	)	PUNCT
cana-1320	3	16	,	,	PUNCT
cana-1320	3	17	mudukulathur	mudukulathur	VERB
cana-1320	3	18	–	–	PUNCT
cana-1320	3	19	623704	623704	NUM
cana-1320	3	20	,	,	PUNCT
cana-1320	3	21	tamilnadu	tamilnadu	NOUN
cana-1320	3	22	,	,	PUNCT
cana-1320	3	23	india	india	PROPN
cana-1320	3	24	.	.	PUNCT
cana-1320	4	1	email:kpavi94pk@gmail.com	email:kpavi94pk@gmail.com	X
cana-1320	4	2	2	2	X
cana-1320	4	3	.	.	PUNCT
cana-1320	5	1	department	department	NOUN
cana-1320	5	2	of	of	ADP
cana-1320	5	3	mathematics	mathematic	NOUN
cana-1320	5	4	,	,	PUNCT
cana-1320	5	5	dr.zakir	dr.zakir	NOUN
cana-1320	5	6	husain	husain	PROPN
cana-1320	5	7	college	college	PROPN
cana-1320	5	8	(	(	PUNCT
cana-1320	5	9	affiliated	affiliate	VERB
cana-1320	5	10	to	to	PART
cana-1320	5	11	alagappa	alagappa	VERB
cana-1320	5	12	university	university	PROPN
cana-1320	5	13	,	,	PUNCT
cana-1320	5	14	karaikudi	karaikudi	PROPN
cana-1320	5	15	)	)	PUNCT
cana-1320	5	16	,	,	PUNCT
cana-1320	5	17	ilayangudi630702	ilayangudi630702	PROPN
cana-1320	5	18	,	,	PUNCT
cana-1320	5	19	tamilnadu	tamilnadu	NOUN
cana-1320	5	20	,	,	PUNCT
cana-1320	5	21	india	india	PROPN
cana-1320	5	22	.	.	PUNCT
cana-1320	5	23	email	email	NOUN
cana-1320	5	24	:	:	PUNCT
cana-1320	5	25	msamy0207@yahoo.com	msamy0207@yahoo.com	PROPN
cana-1320	6	1	3	3	NUM
cana-1320	6	2	.department	.department	NOUN
cana-1320	6	3	of	of	ADP
cana-1320	6	4	mathematics	mathematic	NOUN
cana-1320	6	5	,	,	PUNCT
cana-1320	6	6	alagappa	alagappa	NOUN
cana-1320	6	7	govt	govt	PROPN
cana-1320	6	8	.	.	PUNCT
cana-1320	7	1	arts	art	NOUN
cana-1320	7	2	college	college	PROPN
cana-1320	7	3	,	,	PUNCT
cana-1320	7	4	karaikudi	karaikudi	PROPN
cana-1320	7	5	–	–	PUNCT
cana-1320	7	6	630003	630003	NUM
cana-1320	7	7	,	,	PUNCT
cana-1320	7	8	tamilnadu	tamilnadu	NOUN
cana-1320	7	9	,	,	PUNCT
cana-1320	7	10	india	india	PROPN
cana-1320	7	11	.	.	PUNCT
cana-1320	7	12	email	email	NOUN
cana-1320	7	13	:	:	PUNCT
cana-1320	7	14	arjunan.karmegam@gmail.com	arjunan.karmegam@gmail.com	X
cana-1320	7	15	article	article	NOUN
cana-1320	7	16	history	history	NOUN
cana-1320	7	17	:	:	PUNCT
cana-1320	7	18	received	receive	VERB
cana-1320	7	19	:	:	PUNCT
cana-1320	7	20	01	01	NUM
cana-1320	7	21	-	-	PUNCT
cana-1320	7	22	06	06	NUM
cana-1320	7	23	-	-	PUNCT
cana-1320	7	24	2024	2024	NUM
cana-1320	7	25	revised	revise	VERB
cana-1320	7	26	:	:	PUNCT
cana-1320	7	27	03	03	NUM
cana-1320	7	28	-	-	PUNCT
cana-1320	7	29	07	07	NUM
cana-1320	7	30	-	-	PUNCT
cana-1320	7	31	2024	2024	NUM
cana-1320	7	32	accepted	accept	VERB
cana-1320	7	33	:	:	PUNCT
cana-1320	7	34	29	29	NUM
cana-1320	7	35	-	-	SYM
cana-1320	7	36	07	07	NUM
cana-1320	7	37	-	-	PUNCT
cana-1320	7	38	2024	2024	NUM
cana-1320	7	39	abstract	abstract	NOUN
cana-1320	7	40	:	:	PUNCT
cana-1320	7	41	certain	certain	ADJ
cana-1320	7	42	properties	property	NOUN
cana-1320	7	43	of	of	ADP
cana-1320	7	44	bipolar	bipolar	ADJ
cana-1320	7	45	valued	value	VERB
cana-1320	7	46	vague	vague	ADJ
cana-1320	7	47	subfield	subfield	NOUN
cana-1320	7	48	of	of	ADP
cana-1320	7	49	a	a	DET
cana-1320	7	50	field	field	NOUN
cana-1320	7	51	are	be	AUX
cana-1320	7	52	introduced	introduce	VERB
cana-1320	7	53	and	and	CCONJ
cana-1320	7	54	discussed	discuss	VERB
cana-1320	7	55	.	.	PUNCT
cana-1320	8	1	keywords	keyword	NOUN
cana-1320	8	2	:	:	PUNCT
cana-1320	8	3	introduction	introduction	NOUN
cana-1320	8	4	.	.	PUNCT
cana-1320	9	1	,	,	PUNCT
cana-1320	9	2	succeeding	succeed	VERB
cana-1320	9	3	years	year	NOUN
cana-1320	9	4	,	,	PUNCT
cana-1320	9	5	fuzzy	fuzzy	ADJ
cana-1320	9	6	set	set	NOUN
cana-1320	9	7	was	be	AUX
cana-1320	9	8	grown	grow	VERB
cana-1320	9	9	in	in	ADP
cana-1320	9	10	different	different	ADJ
cana-1320	9	11	ways	way	NOUN
cana-1320	9	12	.	.	PUNCT
cana-1320	10	1	the	the	DET
cana-1320	10	2	following	follow	VERB
cana-1320	10	3	are	be	AUX
cana-1320	10	4	extension	extension	NOUN
cana-1320	10	5	of	of	ADP
cana-1320	10	6	fuzzy	fuzzy	ADJ
cana-1320	10	7	set	set	NOUN
cana-1320	10	8	,	,	PUNCT
cana-1320	10	9	they	they	PRON
cana-1320	10	10	are	be	AUX
cana-1320	10	11	vague	vague	ADJ
cana-1320	10	12	set	set	NOUN
cana-1320	10	13	,	,	PUNCT
cana-1320	10	14	intuitionistic	intuitionistic	ADJ
cana-1320	10	15	fuzzy	fuzzy	ADJ
cana-1320	10	16	set	set	NOUN
cana-1320	10	17	,	,	PUNCT
cana-1320	10	18	bipolar	bipolar	ADJ
cana-1320	10	19	valued	value	VERB
cana-1320	10	20	fuzzy	fuzzy	ADJ
cana-1320	10	21	set	set	NOUN
cana-1320	10	22	and	and	CCONJ
cana-1320	10	23	etc	etc	X
cana-1320	10	24	.	.	X
cana-1320	11	1	v	v	X
cana-1320	11	2	,	,	PUNCT
cana-1320	11	3	rosenfeld	rosenfeld	PROPN
cana-1320	12	1	[	[	X
cana-1320	12	2	3	3	NUM
cana-1320	12	3	]	]	X
cana-1320	12	4	;	;	PUNCT
cana-1320	12	5	bipolar	bipolar	ADJ
cana-1320	12	6	valued	value	VERB
cana-1320	12	7	fuzzy	fuzzy	ADJ
cana-1320	12	8	subset	subset	VERB
cana-1320	12	9	by	by	ADP
cana-1320	12	10	w.r.zhang[15	w.r.zhang[15	PROPN
cana-1320	12	11	]	]	PUNCT
cana-1320	12	12	;	;	PUNCT
cana-1320	12	13	vague	vague	ADJ
cana-1320	12	14	group	group	NOUN
cana-1320	12	15	by	by	ADP
cana-1320	12	16	ranjitbiswas	ranjitbiswas	PROPN
cana-1320	13	1	[	[	X
cana-1320	13	2	11	11	NUM
cana-1320	13	3	]	]	X
cana-1320	13	4	;	;	PUNCT
cana-1320	13	5	bipolar	bipolar	ADJ
cana-1320	13	6	vague	vague	NOUN
cana-1320	13	7	set	set	VERB
cana-1320	13	8	by	by	ADP
cana-1320	13	9	cicily	cicily	ADV
cana-1320	13	10	flora	flora	NOUN
cana-1320	13	11	.	.	PUNCT
cana-1320	14	1	s	s	VERB
cana-1320	14	2	and	and	CCONJ
cana-1320	14	3	arockiarani.i	arockiarani.i	NOUN
cana-1320	15	1	[	[	X
cana-1320	15	2	5	5	NUM
cana-1320	15	3	]	]	PUNCT
cana-1320	15	4	;	;	PUNCT
cana-1320	15	5	bipolar	bipolar	ADJ
cana-1320	15	6	valued	value	VERB
cana-1320	15	7	fuzzy	fuzzy	ADJ
cana-1320	15	8	subgroup	subgroup	NOUN
cana-1320	15	9	by	by	ADP
cana-1320	15	10	anitha.m.s	anitha.m.	NOUN
cana-1320	15	11	.	.	PUNCT
cana-1320	15	12	,	,	PUNCT
cana-1320	15	13	et.al.[2	et.al.[2	PROPN
cana-1320	15	14	]	]	X
cana-1320	15	15	;	;	PUNCT
cana-1320	15	16	in	in	ADP
cana-1320	15	17	similar	similar	ADJ
cana-1320	15	18	way	way	NOUN
cana-1320	15	19	,	,	PUNCT
cana-1320	15	20	[	[	X
cana-1320	15	21	1	1	NUM
cana-1320	15	22	]	]	PUNCT
cana-1320	15	23	,	,	PUNCT
cana-1320	15	24	[	[	X
cana-1320	15	25	4	4	NUM
cana-1320	15	26	]	]	PUNCT
cana-1320	15	27	,	,	PUNCT
cana-1320	15	28	[	[	X
cana-1320	15	29	7	7	NUM
cana-1320	15	30	]	]	PUNCT
cana-1320	15	31	,	,	PUNCT
cana-1320	15	32	[	[	X
cana-1320	15	33	8	8	NUM
cana-1320	15	34	]	]	PUNCT
cana-1320	15	35	,	,	PUNCT
cana-1320	15	36	[	[	X
cana-1320	15	37	9	9	NUM
cana-1320	15	38	]	]	PUNCT
cana-1320	15	39	,	,	PUNCT
cana-1320	15	40	[	[	X
cana-1320	15	41	10	10	NUM
cana-1320	15	42	]	]	PUNCT
cana-1320	15	43	,	,	PUNCT
cana-1320	15	44	[	[	X
cana-1320	15	45	12	12	NUM
cana-1320	15	46	]	]	PUNCT
cana-1320	15	47	and	and	CCONJ
cana-1320	15	48	[	[	X
cana-1320	15	49	13	13	NUM
cana-1320	15	50	]	]	PUNCT
cana-1320	15	51	were	be	AUX
cana-1320	15	52	useful	useful	ADJ
cana-1320	15	53	to	to	PART
cana-1320	15	54	write	write	VERB
cana-1320	15	55	this	this	DET
cana-1320	15	56	paper	paper	NOUN
cana-1320	15	57	.	.	PUNCT
cana-1320	16	1	1.preliminaries	1.preliminaries	NUM
cana-1320	16	2	.	.	PUNCT
cana-1320	17	1	definition	definition	NOUN
cana-1320	17	2	1.1	1.1	NUM
cana-1320	17	3	[	[	X
cana-1320	17	4	14	14	NUM
cana-1320	17	5	]	]	PUNCT
cana-1320	17	6	,	,	PUNCT
cana-1320	17	7	definition	definition	NOUN
cana-1320	17	8	1.2	1.2	NUM
cana-1320	18	1	[	[	X
cana-1320	18	2	6	6	NUM
cana-1320	18	3	]	]	PUNCT
cana-1320	18	4	*	*	PUNCT
cana-1320	18	5	(	(	PUNCT
cana-1320	18	6	,	,	PUNCT
cana-1320	18	7	(	(	PUNCT
cana-1320	18	8	)	)	PUNCT
cana-1320	18	9	(	(	PUNCT
cana-1320	18	10	)	)	PUNCT
cana-1320	18	11	-	-	PUNCT
cana-1320	18	12	)	)	PUNCT
cana-1320	19	1	+	+	CCONJ
cana-1320	19	2	a	a	DET
cana-1320	19	3	,	,	PUNCT
cana-1320	19	4	map	map	NOUN
cana-1320	19	5	and	and	CCONJ
cana-1320	19	6	,	,	PUNCT
cana-1320	19	7	is	be	AUX
cana-1320	19	8	a	a	DET
cana-1320	19	9	false	false	ADJ
cana-1320	19	10	membership	membership	NOUN
cana-1320	19	11	map	map	NOUN
cana-1320	19	12	,	,	PUNCT
cana-1320	20	1	such	such	ADJ
cana-1320	20	2	that	that	SCONJ
cana-1320	20	3	(	(	PUNCT
cana-1320	20	4	)	)	PUNCT
cana-1320	20	5	(	(	PUNCT
cana-1320	20	6	)	)	PUNCT
cana-1320	20	7	.	.	PUNCT
cana-1320	21	1	definition	definition	NOUN
cana-1320	21	2	1.3	1.3	NUM
cana-1320	22	1	[	[	X
cana-1320	22	2	6	6	NUM
cana-1320	22	3	]	]	PUNCT
cana-1320	22	4	,	,	PUNCT
cana-1320	22	5	(	(	PUNCT
cana-1320	22	6	)	)	PUNCT
cana-1320	22	7	(	(	PUNCT
cana-1320	22	8	)	)	PUNCT
cana-1320	22	9	(	(	PUNCT
cana-1320	22	10	)	)	PUNCT
cana-1320	22	11	(	(	PUNCT
cana-1320	22	12	)	)	PUNCT
cana-1320	22	13	,	,	PUNCT
cana-1320	22	14	(	(	PUNCT
cana-1320	22	15	)	)	PUNCT
cana-1320	22	16	(	(	PUNCT
cana-1320	22	17	)	)	PUNCT
cana-1320	22	18	example	example	NOUN
cana-1320	22	19	1.4	1.4	NUM
cana-1320	22	20	.	.	PUNCT
cana-1320	23	1	=	=	PRON
cana-1320	23	2	{	{	PUNCT
cana-1320	23	3	<	<	X
cana-1320	23	4	,	,	PUNCT
cana-1320	23	5	[	[	X
cana-1320	23	6	0.04	0.04	NUM
cana-1320	23	7	,	,	PUNCT
cana-1320	23	8	0.07	0.07	NUM
cana-1320	23	9	]	]	PUNCT
cana-1320	23	10	>	>	X
cana-1320	23	11	,	,	PUNCT
cana-1320	23	12	<	<	X
cana-1320	23	13	,	,	PUNCT
cana-1320	23	14	[	[	X
cana-1320	23	15	0.02	0.02	NUM
cana-1320	23	16	,	,	PUNCT
cana-1320	23	17	0.06	0.06	NUM
cana-1320	23	18	]	]	PUNCT
cana-1320	23	19	>	>	X
cana-1320	23	20	,	,	PUNCT
cana-1320	23	21	<	<	X
cana-1320	23	22	,	,	PUNCT
cana-1320	23	23	[	[	X
cana-1320	23	24	0.03	0.03	NUM
cana-1320	23	25	,	,	PUNCT
cana-1320	23	26	0.08	0.08	NUM
cana-1320	23	27	]	]	PUNCT
cana-1320	23	28	>	>	X
cana-1320	23	29	}	}	PUNCT
cana-1320	23	30	is	be	AUX
cana-1320	23	31	a	a	DET
cana-1320	23	32	vague	vague	ADJ
cana-1320	23	33	set	set	NOUN
cana-1320	23	34	of	of	ADP
cana-1320	23	35	*	*	PUNCT
cana-1320	23	36	+	+	NUM
cana-1320	23	37	definition	definition	NOUN
cana-1320	23	38	1.5	1.5	NUM
cana-1320	23	39	[	[	X
cana-1320	23	40	15	15	NUM
cana-1320	23	41	]	]	X
cana-1320	23	42	{	{	PUNCT
cana-1320	23	43	(	(	PUNCT
cana-1320	23	44	(	(	PUNCT
cana-1320	23	45	)	)	PUNCT
cana-1320	23	46	(	(	PUNCT
cana-1320	23	47	)	)	PUNCT
cana-1320	23	48	)	)	PUNCT
cana-1320	23	49	}	}	PUNCT
cana-1320	23	50	a	a	DET
cana-1320	23	51	bipolar	bipolar	ADJ
cana-1320	23	52	,	,	PUNCT
cana-1320	23	53	map	map	NOUN
cana-1320	23	54	and	and	CCONJ
cana-1320	23	55	,	,	PUNCT
cana-1320	23	56	is	be	AUX
cana-1320	23	57	a	a	DET
cana-1320	23	58	negative	negative	ADJ
cana-1320	23	59	membership	membership	NOUN
cana-1320	23	60	map	map	NOUN
cana-1320	23	61	.	.	PUNCT
cana-1320	24	1	communications	communication	NOUN
cana-1320	24	2	on	on	ADP
cana-1320	24	3	applied	apply	VERB
cana-1320	24	4	nonlinear	nonlinear	ADJ
cana-1320	24	5	analysis	analysis	NOUN
cana-1320	24	6	issn	issn	NOUN
cana-1320	24	7	:	:	PUNCT
cana-1320	24	8	1074	1074	NUM
cana-1320	24	9	-	-	PUNCT
cana-1320	24	10	133x	133x	NUM
cana-1320	24	11	vol	vol	NOUN
cana-1320	24	12	31	31	NUM
cana-1320	24	13	no	no	NOUN
cana-1320	24	14	.	.	PUNCT
cana-1320	25	1	7s	7	NOUN
cana-1320	25	2	(	(	PUNCT
cana-1320	25	3	2024	2024	NUM
cana-1320	25	4	)	)	PUNCT
cana-1320	26	1	415	415	NUM
cana-1320	26	2	https://internationalpubls.com	https://internationalpubls.com	NUM
cana-1320	26	3	definition	definition	NOUN
cana-1320	26	4	1.6	1.6	NUM
cana-1320	26	5	[	[	X
cana-1320	26	6	5	5	NUM
cana-1320	26	7	]	]	PUNCT
cana-1320	26	8	*	*	PUNCT
cana-1320	26	9	(	(	PUNCT
cana-1320	26	10	,	,	PUNCT
cana-1320	26	11	(	(	PUNCT
cana-1320	26	12	)	)	PUNCT
cana-1320	26	13	(	(	PUNCT
cana-1320	26	14	)	)	PUNCT
cana-1320	26	15	,	,	PUNCT
cana-1320	26	16	(	(	PUNCT
cana-1320	26	17	)	)	PUNCT
cana-1320	26	18	(	(	PUNCT
cana-1320	26	19	)	)	PUNCT
cana-1320	26	20	-	-	PUNCT
cana-1320	26	21	)	)	PUNCT
cana-1320	26	22	+	+	CCONJ
cana-1320	26	23	,	,	PUNCT
cana-1320	26	24	,	,	PUNCT
cana-1320	26	25	,	,	PUNCT
cana-1320	26	26	,	,	PUNCT
cana-1320	26	27	(	(	PUNCT
cana-1320	26	28	)	)	PUNCT
cana-1320	26	29	(	(	PUNCT
cana-1320	26	30	)	)	PUNCT
cana-1320	26	31	(	(	PUNCT
cana-1320	26	32	)	)	PUNCT
cana-1320	26	33	(	(	PUNCT
cana-1320	26	34	)	)	PUNCT
cana-1320	26	35	{	{	PUNCT
cana-1320	26	36	(	(	PUNCT
cana-1320	26	37	(	(	PUNCT
cana-1320	26	38	)	)	PUNCT
cana-1320	26	39	(	(	PUNCT
cana-1320	26	40	)	)	PUNCT
cana-1320	26	41	)	)	PUNCT
cana-1320	26	42	}	}	PUNCT
cana-1320	26	43	,	,	PUNCT
cana-1320	26	44	where	where	SCONJ
cana-1320	26	45	(	(	PUNCT
cana-1320	26	46	)	)	PUNCT
cana-1320	26	47	=	=	NOUN
cana-1320	26	48	,	,	PUNCT
cana-1320	26	49	(	(	PUNCT
cana-1320	26	50	)	)	PUNCT
cana-1320	26	51	(	(	PUNCT
cana-1320	26	52	)	)	PUNCT
cana-1320	26	53	and	and	CCONJ
cana-1320	26	54	(	(	PUNCT
cana-1320	26	55	)	)	PUNCT
cana-1320	26	56	=	=	SYM
cana-1320	26	57	,	,	PUNCT
cana-1320	26	58	(	(	PUNCT
cana-1320	26	59	)	)	PUNCT
cana-1320	26	60	(	(	PUNCT
cana-1320	26	61	)	)	PUNCT
cana-1320	26	62	it	it	PRON
cana-1320	26	63	is	be	AUX
cana-1320	26	64	denoted	denote	VERB
cana-1320	26	65	as	as	ADP
cana-1320	26	66	example	example	NOUN
cana-1320	26	67	1.7	1.7	NUM
cana-1320	26	68	.	.	PUNCT
cana-1320	27	1	=	=	PRON
cana-1320	27	2	{	{	PUNCT
cana-1320	27	3	<	<	X
cana-1320	27	4	,	,	PUNCT
cana-1320	27	5	[	[	X
cana-1320	27	6	0.05	0.05	NUM
cana-1320	27	7	,	,	PUNCT
cana-1320	27	8	0.07	0.07	NUM
cana-1320	27	9	]	]	PUNCT
cana-1320	27	10	,	,	PUNCT
cana-1320	28	1	[	[	X
cana-1320	28	2	0.05	0.05	NOUN
cana-1320	28	3	,	,	PUNCT
cana-1320	28	4	0.02	0.02	NOUN
cana-1320	28	5	]	]	PUNCT
cana-1320	28	6	>	>	X
cana-1320	28	7	,	,	PUNCT
cana-1320	28	8	<	<	X
cana-1320	28	9	,	,	PUNCT
cana-1320	28	10	[	[	X
cana-1320	28	11	0.04	0.04	NUM
cana-1320	28	12	,	,	PUNCT
cana-1320	28	13	0.08	0.08	NUM
cana-1320	28	14	]	]	PUNCT
cana-1320	28	15	,	,	PUNCT
cana-1320	29	1	[	[	X
cana-1320	29	2	0.06	0.06	ADV
cana-1320	29	3	,	,	PUNCT
cana-1320	29	4	0.03	0.03	X
cana-1320	29	5	]	]	PUNCT
cana-1320	29	6	>	>	X
cana-1320	29	7	,	,	PUNCT
cana-1320	29	8	<	<	X
cana-1320	29	9	,	,	PUNCT
cana-1320	29	10	[	[	X
cana-1320	29	11	0.14	0.14	NUM
cana-1320	29	12	,	,	PUNCT
cana-1320	29	13	0.19	0.19	NUM
cana-1320	29	14	]	]	PUNCT
cana-1320	29	15	,	,	PUNCT
cana-1320	29	16	[	[	PUNCT
cana-1320	29	17	0.25	0.25	ADJ
cana-1320	29	18	,	,	PUNCT
cana-1320	29	19	0.22	0.22	NOUN
cana-1320	29	20	]	]	PUNCT
cana-1320	29	21	>	>	X
cana-1320	29	22	}	}	PUNCT
cana-1320	29	23	is	be	AUX
cana-1320	29	24	a	a	DET
cana-1320	29	25	of	of	ADP
cana-1320	29	26	*	*	PUNCT
cana-1320	29	27	+	+	NUM
cana-1320	29	28	definition	definition	NOUN
cana-1320	29	29	1.8	1.8	NUM
cana-1320	29	30	[	[	X
cana-1320	29	31	5	5	NUM
cana-1320	29	32	]	]	PUNCT
cana-1320	29	33	let	let	VERB
cana-1320	29	34	=	=	PRON
cana-1320	29	35			X
cana-1320	29	36	,	,	PUNCT
cana-1320	29	37			PROPN
cana-1320	29	38	and	and	CCONJ
cana-1320	29	39	=	=	NOUN
cana-1320	29	40			X
cana-1320	29	41	,	,	PUNCT
cana-1320	29	42			PROPN
cana-1320	29	43	be	be	VERB
cana-1320	29	44	.	.	PUNCT
cana-1320	30	1	(	(	PUNCT
cana-1320	30	2	i	i	NOUN
cana-1320	30	3	)	)	PUNCT
cana-1320	30	4	(	(	PUNCT
cana-1320	30	5	)	)	PUNCT
cana-1320	30	6	(	(	PUNCT
cana-1320	30	7	)	)	PUNCT
cana-1320	30	8	and	and	CCONJ
cana-1320	30	9	(	(	PUNCT
cana-1320	30	10	)	)	PUNCT
cana-1320	30	11	(	(	PUNCT
cana-1320	30	12	)	)	PUNCT
cana-1320	30	13	(	(	PUNCT
cana-1320	30	14	ii	ii	NOUN
cana-1320	30	15	)	)	PUNCT
cana-1320	30	16	=	=	PRON
cana-1320	30	17	{	{	PUNCT
cana-1320	30	18			X
cana-1320	30	19	rmin	rmin	NOUN
cana-1320	30	20	(	(	PUNCT
cana-1320	30	21	(	(	PUNCT
cana-1320	30	22	)	)	PUNCT
cana-1320	30	23	,	,	PUNCT
cana-1320	30	24	(	(	PUNCT
cana-1320	30	25	)	)	PUNCT
cana-1320	30	26	)	)	PUNCT
cana-1320	30	27	,	,	PUNCT
cana-1320	30	28	rmax	rmax	VERB
cana-1320	30	29	(	(	PUNCT
cana-1320	30	30	(	(	PUNCT
cana-1320	30	31	)	)	PUNCT
cana-1320	30	32	,	,	PUNCT
cana-1320	30	33	(	(	PUNCT
cana-1320	30	34	)	)	PUNCT
cana-1320	30	35	)	)	PUNCT
cana-1320	30	36			PROPN
cana-1320	30	37	/	/	SYM
cana-1320	30	38	}	}	PUNCT
cana-1320	30	39	.	.	PUNCT
cana-1320	31	1	definition	definition	NOUN
cana-1320	31	2	1.9	1.9	NUM
cana-1320	32	1	[	[	X
cana-1320	32	2	5	5	NUM
cana-1320	32	3	]	]	PUNCT
cana-1320	32	4			X
cana-1320	32	5	,	,	PUNCT
cana-1320	32	6			PROPN
cana-1320	32	7	valued	value	VERB
cana-1320	32	8	(	(	PUNCT
cana-1320	32	9	)	)	PUNCT
cana-1320	32	10	(	(	PUNCT
cana-1320	32	11	i	i	NOUN
cana-1320	32	12	)	)	PUNCT
cana-1320	32	13	(	(	PUNCT
cana-1320	32	14	)	)	PUNCT
cana-1320	32	15	*	*	PUNCT
cana-1320	32	16	(	(	PUNCT
cana-1320	32	17	)	)	PUNCT
cana-1320	32	18	(	(	PUNCT
cana-1320	32	19	)	)	PUNCT
cana-1320	32	20	+	+	CCONJ
cana-1320	32	21	(	(	PUNCT
cana-1320	32	22	ii	ii	NOUN
cana-1320	32	23	)	)	PUNCT
cana-1320	32	24	(	(	PUNCT
cana-1320	32	25	)	)	PUNCT
cana-1320	32	26	*	*	PUNCT
cana-1320	32	27	(	(	PUNCT
cana-1320	32	28	)	)	PUNCT
cana-1320	32	29	(	(	PUNCT
cana-1320	32	30	)	)	PUNCT
cana-1320	32	31	+	+	CCONJ
cana-1320	32	32	(	(	PUNCT
cana-1320	32	33	iii	iii	NOUN
cana-1320	32	34	)	)	PUNCT
cana-1320	32	35	(	(	PUNCT
cana-1320	32	36	)	)	PUNCT
cana-1320	32	37	*	*	PUNCT
cana-1320	32	38	(	(	PUNCT
cana-1320	32	39	)	)	PUNCT
cana-1320	32	40	(	(	PUNCT
cana-1320	32	41	)	)	PUNCT
cana-1320	32	42	+	+	CCONJ
cana-1320	32	43	(	(	PUNCT
cana-1320	32	44	iv	iv	X
cana-1320	32	45	)	)	PUNCT
cana-1320	32	46	(	(	PUNCT
cana-1320	32	47	)	)	PUNCT
cana-1320	32	48	*	*	PUNCT
cana-1320	32	49	(	(	PUNCT
cana-1320	32	50	)	)	PUNCT
cana-1320	32	51	(	(	PUNCT
cana-1320	32	52	)	)	PUNCT
cana-1320	32	53	+	+	CCONJ
cana-1320	32	54	(	(	PUNCT
cana-1320	32	55	v	v	NOUN
cana-1320	32	56	)	)	PUNCT
cana-1320	32	57	(	(	PUNCT
cana-1320	32	58	)	)	PUNCT
cana-1320	32	59	(	(	PUNCT
cana-1320	32	60	)	)	PUNCT
cana-1320	32	61	(	(	PUNCT
cana-1320	32	62	vi	vi	NOUN
cana-1320	32	63	)	)	PUNCT
cana-1320	32	64	(	(	PUNCT
cana-1320	32	65	)	)	PUNCT
cana-1320	32	66	(	(	PUNCT
cana-1320	32	67	)	)	PUNCT
cana-1320	32	68	where	where	SCONJ
cana-1320	32	69	is	be	AUX
cana-1320	32	70	an	an	DET
cana-1320	32	71	first	first	ADJ
cana-1320	32	72	operation	operation	NOUN
cana-1320	32	73	identity	identity	NOUN
cana-1320	32	74	element	element	NOUN
cana-1320	32	75	of	of	ADP
cana-1320	32	76	*	*	NOUN
cana-1320	32	77	,	,	PUNCT
cana-1320	32	78	,	,	PUNCT
cana-1320	32	79	-+	-+	PROPN
cana-1320	32	80	,	,	PUNCT
cana-1320	32	81	*	*	PUNCT
cana-1320	33	1	+	+	PUNCT
cana-1320	33	2	*	*	PUNCT
cana-1320	33	3	+	+	ADJ
cana-1320	33	4	and	and	CCONJ
cana-1320	33	5	*	*	NOUN
cana-1320	33	6	,	,	PUNCT
cana-1320	33	7	,	,	PUNCT
cana-1320	33	8	-+	-+	PROPN
cana-1320	33	9	,	,	PUNCT
cana-1320	33	10	*	*	PUNCT
cana-1320	34	1	+	+	PUNCT
cana-1320	34	2	*	*	PUNCT
cana-1320	34	3	+	+	NUM
cana-1320	34	4	example	example	NOUN
cana-1320	34	5	1.10	1.10	NUM
cana-1320	34	6	.	.	PUNCT
cana-1320	35	1	*	*	PUNCT
cana-1320	35	2	,	,	PUNCT
cana-1320	35	3	,	,	PUNCT
cana-1320	35	4			PROPN
cana-1320	35	5			NOUN
cana-1320	35	6	,	,	PUNCT
cana-1320	35	7	,	,	PUNCT
cana-1320	35	8			PROPN
cana-1320	35	9			NOUN
cana-1320	35	10	,	,	PUNCT
cana-1320	35	11	,	,	PUNCT
cana-1320	35	12			VERB
cana-1320	35	13			NOUN
cana-1320	35	14	+	+	CCONJ
cana-1320	35	15	*	*	PUNCT
cana-1320	35	16	+	+	NUM
cana-1320	35	17	definition	definition	NOUN
cana-1320	35	18	1.11	1.11	NUM
cana-1320	35	19	.	.	PUNCT
cana-1320	36	1	[	[	X
cana-1320	36	2	5	5	NUM
cana-1320	36	3	]	]	PUNCT
cana-1320	36	4			X
cana-1320	36	5	,	,	PUNCT
cana-1320	36	6			PROPN
cana-1320	36	7	the	the	DET
cana-1320	36	8	strongest	strong	ADJ
cana-1320	36	9	that	that	PRON
cana-1320	36	10	is	be	AUX
cana-1320	36	11	a	a	DET
cana-1320	36	12	on	on	ADP
cana-1320	36	13	{	{	PUNCT
cana-1320	36	14			X
cana-1320	36	15	(	(	PUNCT
cana-1320	36	16	,	,	PUNCT
cana-1320	36	17	)	)	PUNCT
cana-1320	36	18	,	,	PUNCT
cana-1320	36	19	(	(	PUNCT
cana-1320	36	20	,	,	PUNCT
cana-1320	36	21	)	)	PUNCT
cana-1320	36	22	,	,	PUNCT
cana-1320	36	23	(	(	PUNCT
cana-1320	36	24	,	,	PUNCT
cana-1320	36	25	)	)	PUNCT
cana-1320	36	26			PROPN
cana-1320	36	27	/	/	PUNCT
cana-1320	36	28	for	for	ADP
cana-1320	36	29	all	all	PRON
cana-1320	36	30	,	,	PUNCT
cana-1320	36	31			NOUN
cana-1320	36	32	}	}	PUNCT
cana-1320	36	33	,	,	PUNCT
cana-1320	36	34	where	where	SCONJ
cana-1320	36	35	(	(	PUNCT
cana-1320	36	36	,	,	PUNCT
cana-1320	36	37	)	)	PUNCT
cana-1320	36	38	=	=	SYM
cana-1320	36	39	rmin	rmin	NOUN
cana-1320	36	40	{	{	PUNCT
cana-1320	36	41	(	(	PUNCT
cana-1320	36	42	)	)	PUNCT
cana-1320	36	43	,	,	PUNCT
cana-1320	36	44	(	(	PUNCT
cana-1320	36	45	)	)	PUNCT
cana-1320	36	46	}	}	PUNCT
cana-1320	36	47	and	and	CCONJ
cana-1320	36	48	(	(	PUNCT
cana-1320	36	49	,	,	PUNCT
cana-1320	36	50	)	)	PUNCT
cana-1320	36	51	=	=	SYM
cana-1320	36	52	rmax	rmax	ADJ
cana-1320	36	53	{	{	PUNCT
cana-1320	36	54	(	(	PUNCT
cana-1320	36	55	)	)	PUNCT
cana-1320	36	56	,	,	PUNCT
cana-1320	36	57	(	(	PUNCT
cana-1320	36	58	)	)	PUNCT
cana-1320	36	59	}	}	PUNCT
cana-1320	36	60	,	,	PUNCT
cana-1320	36	61	for	for	ADP
cana-1320	36	62	all	all	PRON
cana-1320	36	63	,	,	PUNCT
cana-1320	36	64			NOUN
cana-1320	36	65	.	.	PUNCT
cana-1320	37	1	definition	definition	NOUN
cana-1320	37	2	1.12	1.12	NUM
cana-1320	37	3	.	.	PUNCT
cana-1320	38	1	[	[	X
cana-1320	38	2	5	5	NUM
cana-1320	38	3	]	]	PUNCT
cana-1320	38	4			X
cana-1320	38	5	,	,	PUNCT
cana-1320	38	6			PROPN
cana-1320	38	7	and	and	CCONJ
cana-1320	38	8			PRON
cana-1320	38	9			PROPN
cana-1320	38	10	and	and	CCONJ
cana-1320	38	11	,	,	PUNCT
cana-1320	38	12	denoted	denote	VERB
cana-1320	38	13	by	by	ADP
cana-1320	38	14	,	,	PUNCT
cana-1320	38	15	is	be	AUX
cana-1320	38	16	defined	define	VERB
cana-1320	38	17	as	as	ADP
cana-1320	38	18	=	=	VERB
cana-1320	38	19	{	{	PUNCT
cana-1320	38	20			X
cana-1320	38	21	(	(	PUNCT
cana-1320	38	22	,	,	PUNCT
cana-1320	38	23	)	)	PUNCT
cana-1320	38	24	,	,	PUNCT
cana-1320	38	25	(	(	PUNCT
cana-1320	38	26	×	×	NOUN
cana-1320	38	27	)	)	PUNCT
cana-1320	39	1	+	+	CCONJ
cana-1320	39	2	(	(	PUNCT
cana-1320	39	3	,	,	PUNCT
cana-1320	39	4	)	)	PUNCT
cana-1320	39	5	,	,	PUNCT
cana-1320	39	6	(	(	PUNCT
cana-1320	39	7	×	×	NOUN
cana-1320	39	8	)	)	PUNCT
cana-1320	39	9			PROPN
cana-1320	39	10	(	(	PUNCT
cana-1320	39	11	,	,	PUNCT
cana-1320	39	12	)	)	PUNCT
cana-1320	39	13			PROPN
cana-1320	39	14	/	/	PUNCT
cana-1320	39	15	for	for	ADP
cana-1320	39	16	all	all	PRON
cana-1320	39	17	(	(	PUNCT
cana-1320	39	18	,	,	PUNCT
cana-1320	39	19	)	)	PUNCT
cana-1320	39	20			NOUN
cana-1320	39	21	}	}	PUNCT
cana-1320	39	22	,	,	PUNCT
cana-1320	39	23	where	where	SCONJ
cana-1320	39	24	(	(	PUNCT
cana-1320	39	25	×	×	NOUN
cana-1320	39	26	)	)	PUNCT
cana-1320	39	27	+	+	CCONJ
cana-1320	39	28	(	(	PUNCT
cana-1320	39	29	,	,	PUNCT
cana-1320	39	30	)	)	PUNCT
cana-1320	39	31	=	=	SYM
cana-1320	39	32	rmin	rmin	NOUN
cana-1320	39	33	{	{	PUNCT
cana-1320	39	34	+	+	X
cana-1320	39	35	(	(	PUNCT
cana-1320	39	36	)	)	PUNCT
cana-1320	39	37	,	,	PUNCT
cana-1320	39	38	+	+	CCONJ
cana-1320	39	39	(	(	PUNCT
cana-1320	39	40	)	)	PUNCT
cana-1320	39	41	}	}	PUNCT
cana-1320	39	42	and	and	CCONJ
cana-1320	39	43	(	(	PUNCT
cana-1320	39	44	×	×	NOUN
cana-1320	39	45	)	)	PUNCT
cana-1320	39	46			PROPN
cana-1320	39	47	(	(	PUNCT
cana-1320	39	48	,	,	PUNCT
cana-1320	39	49	)	)	PUNCT
cana-1320	39	50	=	=	SYM
cana-1320	39	51	rmax	rmax	ADJ
cana-1320	39	52	{	{	PUNCT
cana-1320	39	53			NOUN
cana-1320	39	54	(	(	PUNCT
cana-1320	39	55	)	)	PUNCT
cana-1320	39	56	,	,	PUNCT
cana-1320	39	57			NOUN
cana-1320	39	58	(	(	PUNCT
cana-1320	39	59	)	)	PUNCT
cana-1320	39	60	}	}	PUNCT
cana-1320	39	61	.	.	PUNCT
cana-1320	40	1	2	2	NUM
cana-1320	40	2	–	–	PUNCT
cana-1320	40	3	theorems	theorem	NOUN
cana-1320	40	4	.	.	PUNCT
cana-1320	40	5	theorem	theorem	VERB
cana-1320	40	6	2.1	2.1	NUM
cana-1320	40	7	.	.	PUNCT
cana-1320	41	1			PUNCT
cana-1320	41	2	,	,	PUNCT
cana-1320	41	3			PROPN
cana-1320	41	4	is	be	AUX
cana-1320	41	5	a	a	DET
cana-1320	41	6	communications	communication	NOUN
cana-1320	41	7	on	on	ADP
cana-1320	41	8	applied	apply	VERB
cana-1320	41	9	nonlinear	nonlinear	ADJ
cana-1320	41	10	analysis	analysis	NOUN
cana-1320	41	11	issn	issn	NOUN
cana-1320	41	12	:	:	PUNCT
cana-1320	41	13	1074	1074	NUM
cana-1320	41	14	-	-	PUNCT
cana-1320	41	15	133x	133x	NUM
cana-1320	41	16	vol	vol	NOUN
cana-1320	41	17	31	31	NUM
cana-1320	41	18	no	no	NOUN
cana-1320	41	19	.	.	PUNCT
cana-1320	42	1	7s	7	NOUN
cana-1320	42	2	(	(	PUNCT
cana-1320	42	3	2024	2024	NUM
cana-1320	42	4	)	)	PUNCT
cana-1320	42	5	416	416	NUM
cana-1320	42	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	42	7	(	(	PUNCT
cana-1320	42	8	)	)	PUNCT
cana-1320	42	9	(	(	PUNCT
cana-1320	42	10	)	)	PUNCT
cana-1320	42	11	(	(	PUNCT
cana-1320	42	12	)	)	PUNCT
cana-1320	42	13	(	(	PUNCT
cana-1320	42	14	)	)	PUNCT
cana-1320	42	15	(	(	PUNCT
cana-1320	42	16	)	)	PUNCT
cana-1320	42	17	(	(	PUNCT
cana-1320	42	18	)	)	PUNCT
cana-1320	42	19	(	(	PUNCT
cana-1320	42	20	)	)	PUNCT
cana-1320	42	21	(	(	PUNCT
cana-1320	42	22	)	)	PUNCT
cana-1320	42	23	(	(	PUNCT
cana-1320	42	24	)	)	PUNCT
cana-1320	42	25	(	(	PUNCT
cana-1320	42	26	)	)	PUNCT
cana-1320	42	27	(	(	PUNCT
cana-1320	42	28	iii	iii	NOUN
cana-1320	42	29	)	)	PUNCT
cana-1320	42	30	(	(	PUNCT
cana-1320	42	31	)	)	PUNCT
cana-1320	42	32	(	(	PUNCT
cana-1320	42	33	)	)	PUNCT
cana-1320	42	34	(	(	PUNCT
cana-1320	42	35	)	)	PUNCT
cana-1320	42	36	(	(	PUNCT
cana-1320	42	37	)	)	PUNCT
cana-1320	42	38	(	(	PUNCT
cana-1320	42	39	iv	iv	X
cana-1320	42	40	)	)	PUNCT
cana-1320	42	41	(	(	PUNCT
cana-1320	42	42	)	)	PUNCT
cana-1320	42	43	(	(	PUNCT
cana-1320	42	44	)	)	PUNCT
cana-1320	42	45	(	(	PUNCT
cana-1320	42	46	)	)	PUNCT
cana-1320	42	47	(	(	PUNCT
cana-1320	42	48	)	)	PUNCT
cana-1320	42	49	where	where	SCONJ
cana-1320	42	50	are	be	AUX
cana-1320	42	51	first	first	ADJ
cana-1320	42	52	,	,	PUNCT
cana-1320	42	53	second	second	ADJ
cana-1320	42	54	operation	operation	NOUN
cana-1320	42	55	identity	identity	NOUN
cana-1320	42	56	elements	element	NOUN
cana-1320	42	57	of	of	ADP
cana-1320	42	58	proof	proof	NOUN
cana-1320	42	59	.	.	PUNCT
cana-1320	43	1	(	(	PUNCT
cana-1320	43	2	i	i	NOUN
cana-1320	43	3	)	)	PUNCT
cana-1320	43	4	let	let	VERB
cana-1320	43	5	then	then	ADV
cana-1320	43	6	(	(	PUNCT
cana-1320	43	7	)	)	PUNCT
cana-1320	43	8	=	=	SYM
cana-1320	43	9	(	(	PUNCT
cana-1320	43	10	(	(	PUNCT
cana-1320	43	11	)	)	PUNCT
cana-1320	43	12	)	)	PUNCT
cana-1320	43	13			PROPN
cana-1320	43	14	(	(	PUNCT
cana-1320	43	15	)	)	PUNCT
cana-1320	43	16			PROPN
cana-1320	43	17	(	(	PUNCT
cana-1320	43	18	)	)	PUNCT
cana-1320	43	19	.	.	PUNCT
cana-1320	44	1	that	that	PRON
cana-1320	44	2	is	be	AUX
cana-1320	44	3	(	(	PUNCT
cana-1320	44	4	)	)	PUNCT
cana-1320	44	5	(	(	PUNCT
cana-1320	44	6	)	)	PUNCT
cana-1320	44	7	and	and	CCONJ
cana-1320	44	8	(	(	PUNCT
cana-1320	44	9	)	)	PUNCT
cana-1320	44	10	=	=	SYM
cana-1320	44	11	(	(	PUNCT
cana-1320	44	12	(	(	PUNCT
cana-1320	44	13	)	)	PUNCT
cana-1320	44	14	)	)	PUNCT
cana-1320	44	15			NOUN
cana-1320	44	16	(	(	PUNCT
cana-1320	44	17	)	)	PUNCT
cana-1320	44	18			NOUN
cana-1320	44	19	(	(	PUNCT
cana-1320	44	20	)	)	PUNCT
cana-1320	44	21	.	.	PUNCT
cana-1320	45	1	thus	thus	ADV
cana-1320	45	2	(	(	PUNCT
cana-1320	45	3	)	)	PUNCT
cana-1320	45	4	(	(	PUNCT
cana-1320	45	5	)	)	PUNCT
cana-1320	45	6	(	(	PUNCT
cana-1320	45	7	ii	ii	NOUN
cana-1320	45	8	)	)	PUNCT
cana-1320	45	9	let	let	VERB
cana-1320	45	10	then	then	ADV
cana-1320	45	11	(	(	PUNCT
cana-1320	45	12	)	)	PUNCT
cana-1320	45	13	=	=	SYM
cana-1320	45	14	(	(	PUNCT
cana-1320	45	15	(	(	PUNCT
cana-1320	45	16	)	)	PUNCT
cana-1320	45	17	)	)	PUNCT
cana-1320	45	18			PROPN
cana-1320	45	19	(	(	PUNCT
cana-1320	45	20	)	)	PUNCT
cana-1320	45	21			NUM
cana-1320	45	22	(	(	PUNCT
cana-1320	45	23	)	)	PUNCT
cana-1320	45	24	.	.	PUNCT
cana-1320	46	1	that	that	PRON
cana-1320	46	2	is	be	AUX
cana-1320	46	3	(	(	PUNCT
cana-1320	46	4	)	)	PUNCT
cana-1320	46	5	(	(	PUNCT
cana-1320	46	6	)	)	PUNCT
cana-1320	46	7	and	and	CCONJ
cana-1320	46	8	(	(	PUNCT
cana-1320	46	9	)	)	PUNCT
cana-1320	46	10	=	=	SYM
cana-1320	46	11	(	(	PUNCT
cana-1320	46	12	(	(	PUNCT
cana-1320	46	13	)	)	PUNCT
cana-1320	46	14	)	)	PUNCT
cana-1320	46	15			NOUN
cana-1320	46	16	(	(	PUNCT
cana-1320	46	17	)	)	PUNCT
cana-1320	46	18			NOUN
cana-1320	46	19	(	(	PUNCT
cana-1320	46	20	)	)	PUNCT
cana-1320	46	21	.	.	PUNCT
cana-1320	47	1	that	that	PRON
cana-1320	47	2	is	be	AUX
cana-1320	47	3	(	(	PUNCT
cana-1320	47	4	)	)	PUNCT
cana-1320	47	5	(	(	PUNCT
cana-1320	47	6	)	)	PUNCT
cana-1320	47	7	(	(	PUNCT
cana-1320	47	8	iii	iii	NOUN
cana-1320	47	9	)	)	PUNCT
cana-1320	47	10	also	also	ADV
cana-1320	47	11	(	(	PUNCT
cana-1320	47	12	)	)	PUNCT
cana-1320	47	13	=	=	SYM
cana-1320	47	14	(	(	PUNCT
cana-1320	47	15	)	)	PUNCT
cana-1320	47	16			NUM
cana-1320	47	17	rmin	rmin	NOUN
cana-1320	47	18	{	{	PUNCT
cana-1320	47	19	(	(	PUNCT
cana-1320	47	20	)	)	PUNCT
cana-1320	47	21	(	(	PUNCT
cana-1320	47	22	)	)	PUNCT
cana-1320	47	23	+	+	X
cana-1320	47	24	=	=	SYM
cana-1320	47	25	(	(	PUNCT
cana-1320	47	26	)	)	PUNCT
cana-1320	47	27	,	,	PUNCT
cana-1320	47	28	and	and	CCONJ
cana-1320	47	29	(	(	PUNCT
cana-1320	47	30	)	)	PUNCT
cana-1320	47	31	=	=	SYM
cana-1320	47	32	(	(	PUNCT
cana-1320	47	33	)	)	PUNCT
cana-1320	47	34			NUM
cana-1320	47	35	rmax	rmax	ADJ
cana-1320	47	36	{	{	PUNCT
cana-1320	47	37	(	(	PUNCT
cana-1320	47	38	)	)	PUNCT
cana-1320	47	39	(	(	PUNCT
cana-1320	47	40	)	)	PUNCT
cana-1320	47	41	+	+	X
cana-1320	47	42	=	=	SYM
cana-1320	47	43	(	(	PUNCT
cana-1320	47	44	)	)	PUNCT
cana-1320	47	45	,	,	PUNCT
cana-1320	47	46	(	(	PUNCT
cana-1320	47	47	iv	iv	X
cana-1320	47	48	)	)	PUNCT
cana-1320	47	49	also	also	ADV
cana-1320	47	50	(	(	PUNCT
cana-1320	47	51	)	)	PUNCT
cana-1320	47	52	=	=	SYM
cana-1320	47	53	(	(	PUNCT
cana-1320	47	54	)	)	PUNCT
cana-1320	47	55			NUM
cana-1320	47	56	rmin	rmin	NOUN
cana-1320	47	57	{	{	PUNCT
cana-1320	47	58	(	(	PUNCT
cana-1320	47	59	)	)	PUNCT
cana-1320	47	60	(	(	PUNCT
cana-1320	47	61	)	)	PUNCT
cana-1320	47	62	+	+	X
cana-1320	47	63	=	=	SYM
cana-1320	47	64	(	(	PUNCT
cana-1320	47	65	)	)	PUNCT
cana-1320	47	66	,	,	PUNCT
cana-1320	47	67	and	and	CCONJ
cana-1320	47	68	(	(	PUNCT
cana-1320	47	69	)	)	PUNCT
cana-1320	47	70	=	=	SYM
cana-1320	47	71	(	(	PUNCT
cana-1320	47	72	)	)	PUNCT
cana-1320	47	73			NUM
cana-1320	47	74	rmax	rmax	ADJ
cana-1320	47	75	{	{	PUNCT
cana-1320	47	76	(	(	PUNCT
cana-1320	47	77	)	)	PUNCT
cana-1320	47	78	(	(	PUNCT
cana-1320	47	79	)	)	PUNCT
cana-1320	47	80	+	+	X
cana-1320	47	81	=	=	SYM
cana-1320	47	82	(	(	PUNCT
cana-1320	47	83	)	)	PUNCT
cana-1320	47	84	,	,	PUNCT
cana-1320	47	85	theorem	theorem	VERB
cana-1320	47	86	2.2	2.2	NUM
cana-1320	47	87	.	.	PUNCT
cana-1320	48	1			PUNCT
cana-1320	48	2	,	,	PUNCT
cana-1320	48	3			PROPN
cana-1320	48	4	and	and	CCONJ
cana-1320	48	5			CCONJ
cana-1320	48	6			NOUN
cana-1320	48	7	proof	proof	NOUN
cana-1320	48	8	.	.	PUNCT
cana-1320	49	1	let	let	AUX
cana-1320	49	2	be	be	AUX
cana-1320	49	3	in	in	ADP
cana-1320	49	4	.	.	PUNCT
cana-1320	50	1	let	let	VERB
cana-1320	50	2	then	then	ADV
cana-1320	50	3	(	(	PUNCT
cana-1320	50	4			NOUN
cana-1320	50	5	)	)	PUNCT
cana-1320	50	6	=	=	SYM
cana-1320	50	7	rmin	rmin	NOUN
cana-1320	50	8	{	{	PUNCT
cana-1320	50	9	(	(	PUNCT
cana-1320	50	10			PROPN
cana-1320	50	11	)	)	PUNCT
cana-1320	50	12	,	,	PUNCT
cana-1320	50	13	(	(	PUNCT
cana-1320	50	14			NOUN
cana-1320	50	15	)	)	PUNCT
cana-1320	50	16	}	}	PUNCT
cana-1320	50	17			X
cana-1320	50	18	rmin{rmin	rmin{rmin	NOUN
cana-1320	50	19	{	{	PUNCT
cana-1320	50	20	(	(	PUNCT
cana-1320	50	21	)	)	PUNCT
cana-1320	50	22	,	,	PUNCT
cana-1320	50	23	(	(	PUNCT
cana-1320	50	24	)	)	PUNCT
cana-1320	50	25	}	}	PUNCT
cana-1320	50	26	,	,	PUNCT
cana-1320	50	27	rmin	rmin	NOUN
cana-1320	50	28	{	{	PUNCT
cana-1320	50	29	(	(	PUNCT
cana-1320	50	30	)	)	PUNCT
cana-1320	50	31	,	,	PUNCT
cana-1320	50	32	(	(	PUNCT
cana-1320	50	33	)	)	PUNCT
cana-1320	50	34	}	}	PUNCT
cana-1320	50	35	}	}	PUNCT
cana-1320	50	36	=	=	SYM
cana-1320	50	37	rmin{rmin	rmin{rmin	NOUN
cana-1320	50	38	{	{	PUNCT
cana-1320	50	39	(	(	PUNCT
cana-1320	50	40	)	)	PUNCT
cana-1320	50	41	,	,	PUNCT
cana-1320	50	42	(	(	PUNCT
cana-1320	50	43	)	)	PUNCT
cana-1320	50	44	}	}	PUNCT
cana-1320	50	45	,	,	PUNCT
cana-1320	50	46	rmin	rmin	NOUN
cana-1320	50	47	{	{	PUNCT
cana-1320	50	48	(	(	PUNCT
cana-1320	50	49	)	)	PUNCT
cana-1320	50	50	,	,	PUNCT
cana-1320	50	51	(	(	PUNCT
cana-1320	50	52	)	)	PUNCT
cana-1320	50	53	}	}	PUNCT
cana-1320	50	54	}	}	PUNCT
cana-1320	50	55	=	=	SYM
cana-1320	50	56	rmin	rmin	NOUN
cana-1320	50	57	{	{	PUNCT
cana-1320	50	58	(	(	PUNCT
cana-1320	50	59	)	)	PUNCT
cana-1320	50	60	,	,	PUNCT
cana-1320	50	61	(	(	PUNCT
cana-1320	50	62	)	)	PUNCT
cana-1320	50	63	}	}	PUNCT
cana-1320	50	64	,	,	PUNCT
cana-1320	50	65			ADJ
cana-1320	50	66			NOUN
cana-1320	50	67	.	.	PUNCT
cana-1320	51	1	and	and	CCONJ
cana-1320	51	2	(	(	PUNCT
cana-1320	51	3	)	)	PUNCT
cana-1320	51	4	=	=	SYM
cana-1320	51	5	rmin	rmin	NOUN
cana-1320	51	6	{	{	PUNCT
cana-1320	51	7	(	(	PUNCT
cana-1320	51	8	)	)	PUNCT
cana-1320	51	9	,	,	PUNCT
cana-1320	51	10	(	(	PUNCT
cana-1320	51	11	)	)	PUNCT
cana-1320	51	12	}	}	PUNCT
cana-1320	51	13			X
cana-1320	51	14	rmin{rmin	rmin{rmin	NOUN
cana-1320	51	15	{	{	PUNCT
cana-1320	51	16	(	(	PUNCT
cana-1320	51	17	)	)	PUNCT
cana-1320	51	18	,	,	PUNCT
cana-1320	51	19	(	(	PUNCT
cana-1320	51	20	)	)	PUNCT
cana-1320	51	21	}	}	PUNCT
cana-1320	51	22	,	,	PUNCT
cana-1320	51	23	rmin	rmin	NOUN
cana-1320	51	24	{	{	PUNCT
cana-1320	51	25	(	(	PUNCT
cana-1320	51	26	)	)	PUNCT
cana-1320	51	27	,	,	PUNCT
cana-1320	51	28	(	(	PUNCT
cana-1320	51	29	)	)	PUNCT
cana-1320	51	30	}	}	PUNCT
cana-1320	51	31	}	}	PUNCT
cana-1320	51	32	=	=	SYM
cana-1320	51	33	rmin{rmin	rmin{rmin	NOUN
cana-1320	51	34	{	{	PUNCT
cana-1320	51	35	(	(	PUNCT
cana-1320	51	36	)	)	PUNCT
cana-1320	51	37	,	,	PUNCT
cana-1320	51	38	(	(	PUNCT
cana-1320	51	39	)	)	PUNCT
cana-1320	51	40	}	}	PUNCT
cana-1320	51	41	,	,	PUNCT
cana-1320	51	42	rmin	rmin	NOUN
cana-1320	51	43	{	{	PUNCT
cana-1320	51	44	(	(	PUNCT
cana-1320	51	45	)	)	PUNCT
cana-1320	51	46	,	,	PUNCT
cana-1320	51	47	(	(	PUNCT
cana-1320	51	48	)	)	PUNCT
cana-1320	51	49	}	}	PUNCT
cana-1320	51	50	}	}	PUNCT
cana-1320	51	51	=	=	SYM
cana-1320	51	52	rmin	rmin	NOUN
cana-1320	51	53	{	{	PUNCT
cana-1320	51	54	(	(	PUNCT
cana-1320	51	55	)	)	PUNCT
cana-1320	51	56	,	,	PUNCT
cana-1320	51	57	(	(	PUNCT
cana-1320	51	58	)	)	PUNCT
cana-1320	51	59	}	}	PUNCT
cana-1320	51	60	,	,	PUNCT
cana-1320	51	61			ADJ
cana-1320	51	62			PROPN
cana-1320	51	63	.	.	PUNCT
cana-1320	52	1	also	also	ADV
cana-1320	52	2	(	(	PUNCT
cana-1320	52	3			NOUN
cana-1320	52	4	)	)	PUNCT
cana-1320	52	5	=	=	PUNCT
cana-1320	53	1	rmax	rmax	ADJ
cana-1320	53	2	{	{	PUNCT
cana-1320	53	3	(	(	PUNCT
cana-1320	53	4			PROPN
cana-1320	53	5	)	)	PUNCT
cana-1320	53	6	,	,	PUNCT
cana-1320	53	7	(	(	PUNCT
cana-1320	53	8			NOUN
cana-1320	53	9	)	)	PUNCT
cana-1320	53	10	}	}	PUNCT
cana-1320	53	11			NUM
cana-1320	53	12	rmax{rmax	rmax{rmax	NOUN
cana-1320	53	13	{	{	PUNCT
cana-1320	53	14	(	(	PUNCT
cana-1320	53	15	)	)	PUNCT
cana-1320	53	16	,	,	PUNCT
cana-1320	53	17	(	(	PUNCT
cana-1320	53	18	)	)	PUNCT
cana-1320	53	19	}	}	PUNCT
cana-1320	53	20	,	,	PUNCT
cana-1320	53	21	rmax	rmax	ADJ
cana-1320	53	22	{	{	PUNCT
cana-1320	53	23	(	(	PUNCT
cana-1320	53	24	)	)	PUNCT
cana-1320	53	25	,	,	PUNCT
cana-1320	53	26	(	(	PUNCT
cana-1320	53	27	)	)	PUNCT
cana-1320	53	28	}	}	PUNCT
cana-1320	53	29	}	}	PUNCT
cana-1320	53	30	=	=	SYM
cana-1320	53	31	rmax{rmax	rmax{rmax	X
cana-1320	53	32	{	{	PUNCT
cana-1320	53	33	(	(	PUNCT
cana-1320	53	34	)	)	PUNCT
cana-1320	53	35	,	,	PUNCT
cana-1320	53	36	(	(	PUNCT
cana-1320	53	37	)	)	PUNCT
cana-1320	53	38	}	}	PUNCT
cana-1320	53	39	,	,	PUNCT
cana-1320	53	40	rmax	rmax	ADJ
cana-1320	53	41	{	{	PUNCT
cana-1320	53	42	(	(	PUNCT
cana-1320	53	43	)	)	PUNCT
cana-1320	53	44	,	,	PUNCT
cana-1320	53	45	(	(	PUNCT
cana-1320	53	46	)	)	PUNCT
cana-1320	53	47	}	}	PUNCT
cana-1320	53	48	}	}	PUNCT
cana-1320	53	49	=	=	SYM
cana-1320	53	50	rmax	rmax	ADJ
cana-1320	53	51	{	{	PUNCT
cana-1320	53	52	(	(	PUNCT
cana-1320	53	53	)	)	PUNCT
cana-1320	53	54	,	,	PUNCT
cana-1320	53	55	(	(	PUNCT
cana-1320	53	56	)	)	PUNCT
cana-1320	53	57	}	}	PUNCT
cana-1320	53	58	,	,	PUNCT
cana-1320	53	59			ADJ
cana-1320	53	60			NOUN
cana-1320	53	61	.	.	PUNCT
cana-1320	54	1	and	and	CCONJ
cana-1320	54	2	(	(	PUNCT
cana-1320	54	3	)	)	PUNCT
cana-1320	54	4	=	=	SYM
cana-1320	54	5	rmax	rmax	ADJ
cana-1320	54	6	{	{	PUNCT
cana-1320	54	7	(	(	PUNCT
cana-1320	54	8	)	)	PUNCT
cana-1320	54	9	,	,	PUNCT
cana-1320	54	10	(	(	PUNCT
cana-1320	54	11	)	)	PUNCT
cana-1320	54	12	}	}	PUNCT
cana-1320	54	13			NUM
cana-1320	54	14	rmax{rmax	rmax{rmax	NOUN
cana-1320	54	15	{	{	PUNCT
cana-1320	54	16	(	(	PUNCT
cana-1320	54	17	)	)	PUNCT
cana-1320	54	18	,	,	PUNCT
cana-1320	54	19	(	(	PUNCT
cana-1320	54	20	)	)	PUNCT
cana-1320	54	21	}	}	PUNCT
cana-1320	54	22	,	,	PUNCT
cana-1320	54	23	rmax	rmax	ADJ
cana-1320	54	24	{	{	PUNCT
cana-1320	54	25	(	(	PUNCT
cana-1320	54	26	)	)	PUNCT
cana-1320	54	27	,	,	PUNCT
cana-1320	54	28	(	(	PUNCT
cana-1320	54	29	)	)	PUNCT
cana-1320	54	30	}	}	PUNCT
cana-1320	54	31	}	}	PUNCT
cana-1320	54	32	=	=	SYM
cana-1320	54	33	rmax{rmax	rmax{rmax	X
cana-1320	54	34	{	{	PUNCT
cana-1320	54	35	(	(	PUNCT
cana-1320	54	36	)	)	PUNCT
cana-1320	54	37	,	,	PUNCT
cana-1320	54	38	(	(	PUNCT
cana-1320	54	39	)	)	PUNCT
cana-1320	54	40	}	}	PUNCT
cana-1320	54	41	,	,	PUNCT
cana-1320	54	42	rmax	rmax	ADJ
cana-1320	54	43	{	{	PUNCT
cana-1320	54	44	(	(	PUNCT
cana-1320	54	45	)	)	PUNCT
cana-1320	54	46	,	,	PUNCT
cana-1320	54	47	(	(	PUNCT
cana-1320	54	48	)	)	PUNCT
cana-1320	54	49	}	}	PUNCT
cana-1320	54	50	}	}	PUNCT
cana-1320	54	51	=	=	SYM
cana-1320	54	52	rmax	rmax	ADJ
cana-1320	54	53	{	{	PUNCT
cana-1320	54	54	(	(	PUNCT
cana-1320	54	55	)	)	PUNCT
cana-1320	54	56	,	,	PUNCT
cana-1320	54	57	(	(	PUNCT
cana-1320	54	58	)	)	PUNCT
cana-1320	54	59	}	}	PUNCT
cana-1320	54	60	,	,	PUNCT
cana-1320	54	61			ADJ
cana-1320	54	62			NOUN
cana-1320	54	63	.	.	PUNCT
cana-1320	55	1	hence	hence	ADV
cana-1320	55	2	theorem	theorem	VERB
cana-1320	55	3	2.3	2.3	NUM
cana-1320	55	4	.	.	PUNCT
cana-1320	56	1			X
cana-1320	56	2	,	,	PUNCT
cana-1320	56	3			PROPN
cana-1320	56	4	,	,	PUNCT
cana-1320	56	5			PRON
cana-1320	56	6	,	,	PUNCT
cana-1320	56	7			PROPN
cana-1320	56	8	,	,	PUNCT
cana-1320	56	9	…	…	PUNCT
cana-1320	56	10	and	and	CCONJ
cana-1320	56	11			X
cana-1320	56	12	,	,	PUNCT
cana-1320	56	13			PROPN
cana-1320	56	14	…	…	PUNCT
cana-1320	56	15	is	be	AUX
cana-1320	56	16	also	also	ADV
cana-1320	56	17	a	a	PRON
cana-1320	56	18	of	of	ADP
cana-1320	56	19	.	.	PUNCT
cana-1320	57	1	proof	proof	NOUN
cana-1320	57	2	.	.	PUNCT
cana-1320	58	1	by	by	ADP
cana-1320	58	2	theorem	theorem	NOUN
cana-1320	58	3	2.2	2.2	NUM
cana-1320	58	4	,	,	PUNCT
cana-1320	58	5	it	it	PRON
cana-1320	58	6	can	can	AUX
cana-1320	58	7	be	be	AUX
cana-1320	58	8	easily	easily	ADV
cana-1320	58	9	shown	show	VERB
cana-1320	58	10	.	.	PUNCT
cana-1320	59	1	communications	communication	NOUN
cana-1320	59	2	on	on	ADP
cana-1320	59	3	applied	apply	VERB
cana-1320	59	4	nonlinear	nonlinear	ADJ
cana-1320	59	5	analysis	analysis	NOUN
cana-1320	59	6	issn	issn	NOUN
cana-1320	59	7	:	:	PUNCT
cana-1320	59	8	1074	1074	NUM
cana-1320	59	9	-	-	PUNCT
cana-1320	59	10	133x	133x	NUM
cana-1320	59	11	vol	vol	NOUN
cana-1320	59	12	31	31	NUM
cana-1320	59	13	no	no	NOUN
cana-1320	59	14	.	.	PUNCT
cana-1320	60	1	7s	7	NOUN
cana-1320	60	2	(	(	PUNCT
cana-1320	60	3	2024	2024	NUM
cana-1320	60	4	)	)	PUNCT
cana-1320	60	5	417	417	NUM
cana-1320	60	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	60	7	theorem	theorem	VERB
cana-1320	60	8	2.4	2.4	NUM
cana-1320	60	9	.	.	PUNCT
cana-1320	61	1			X
cana-1320	61	2	,	,	PUNCT
cana-1320	61	3			PROPN
cana-1320	61	4	,	,	PUNCT
cana-1320	61	5			PRON
cana-1320	61	6	,	,	PUNCT
cana-1320	61	7			PROPN
cana-1320	61	8	,	,	PUNCT
cana-1320	61	9	…	…	PUNCT
cana-1320	61	10	…	…	PUNCT
cana-1320	61	11	is	be	AUX
cana-1320	61	12	also	also	ADV
cana-1320	61	13	a	a	PRON
cana-1320	61	14	of	of	ADP
cana-1320	61	15	.	.	PUNCT
cana-1320	62	1	proof	proof	NOUN
cana-1320	62	2	.	.	PUNCT
cana-1320	63	1	by	by	ADP
cana-1320	63	2	theorem	theorem	NOUN
cana-1320	63	3	2.3	2.3	NUM
cana-1320	63	4	,	,	PUNCT
cana-1320	63	5	it	it	PRON
cana-1320	63	6	can	can	AUX
cana-1320	63	7	be	be	AUX
cana-1320	63	8	easily	easily	ADV
cana-1320	63	9	shown	show	VERB
cana-1320	63	10	.	.	PUNCT
cana-1320	64	1	theorem	theorem	VERB
cana-1320	64	2	2.5	2.5	NUM
cana-1320	64	3	.	.	PUNCT
cana-1320	65	1			PUNCT
cana-1320	65	2	,	,	PUNCT
cana-1320	65	3			PROPN
cana-1320	65	4	and	and	CCONJ
cana-1320	65	5			CCONJ
cana-1320	65	6			NOUN
cana-1320	65	7	proof	proof	NOUN
cana-1320	65	8	.	.	PUNCT
cana-1320	66	1	it	it	PRON
cana-1320	66	2	can	can	AUX
cana-1320	66	3	be	be	AUX
cana-1320	66	4	easily	easily	ADV
cana-1320	66	5	shown	show	VERB
cana-1320	66	6	.	.	PUNCT
cana-1320	67	1	theorem	theorem	VERB
cana-1320	67	2	2.6	2.6	NUM
cana-1320	67	3	.	.	PUNCT
cana-1320	68	1			PUNCT
cana-1320	68	2	,	,	PUNCT
cana-1320	68	3			PROPN
cana-1320	68	4	and	and	CCONJ
cana-1320	68	5			CCONJ
cana-1320	68	6			NOUN
cana-1320	68	7	proof	proof	NOUN
cana-1320	68	8	.	.	PUNCT
cana-1320	69	1	it	it	PRON
cana-1320	69	2	can	can	AUX
cana-1320	69	3	be	be	AUX
cana-1320	69	4	easily	easily	ADV
cana-1320	69	5	shown	show	VERB
cana-1320	69	6	.	.	PUNCT
cana-1320	70	1	theorem	theorem	ADJ
cana-1320	70	2	2.7	2.7	NUM
cana-1320	70	3	.	.	PUNCT
cana-1320	71	1			PUNCT
cana-1320	71	2	,	,	PUNCT
cana-1320	71	3			PROPN
cana-1320	71	4	and	and	CCONJ
cana-1320	71	5			PRON
cana-1320	71	6			PRON
cana-1320	71	7	is	be	AUX
cana-1320	71	8	a	a	DET
cana-1320	71	9	proof	proof	NOUN
cana-1320	71	10	.	.	PUNCT
cana-1320	72	1	let	let	VERB
cana-1320	72	2			NOUN
cana-1320	72	3	1	1	NUM
cana-1320	72	4	and	and	CCONJ
cana-1320	72	5			NOUN
cana-1320	72	6	2	2	NUM
cana-1320	72	7	.	.	PUNCT
cana-1320	73	1	then	then	ADV
cana-1320	73	2	(	(	PUNCT
cana-1320	73	3	,	,	PUNCT
cana-1320	73	4	)	)	PUNCT
cana-1320	73	5	,	,	PUNCT
cana-1320	73	6	(	(	PUNCT
cana-1320	73	7	,	,	PUNCT
cana-1320	73	8	)	)	PUNCT
cana-1320	73	9			NOUN
cana-1320	73	10	1×	1×	NUM
cana-1320	73	11	2	2	NUM
cana-1320	73	12	.	.	PUNCT
cana-1320	74	1	then	then	ADV
cana-1320	74	2	(	(	PUNCT
cana-1320	74	3	×	×	NOUN
cana-1320	74	4	)	)	PUNCT
cana-1320	74	5	+	+	PUNCT
cana-1320	75	1	[	[	X
cana-1320	75	2	(	(	PUNCT
cana-1320	75	3	,	,	PUNCT
cana-1320	75	4	)	)	PUNCT
cana-1320	75	5			NOUN
cana-1320	75	6	(	(	PUNCT
cana-1320	75	7	,	,	PUNCT
cana-1320	75	8	)	)	PUNCT
cana-1320	75	9	]	]	PUNCT
cana-1320	76	1	=	=	PUNCT
cana-1320	76	2	(	(	PUNCT
cana-1320	76	3	×	×	PROPN
cana-1320	76	4	)	)	PUNCT
cana-1320	76	5	+	+	CCONJ
cana-1320	76	6	(	(	PUNCT
cana-1320	76	7			NOUN
cana-1320	76	8	,	,	PUNCT
cana-1320	76	9			NOUN
cana-1320	76	10	)	)	PUNCT
cana-1320	76	11	=	=	SYM
cana-1320	76	12	rmin	rmin	NOUN
cana-1320	76	13	{	{	PUNCT
cana-1320	76	14	+	+	CCONJ
cana-1320	76	15	(	(	PUNCT
cana-1320	76	16			NOUN
cana-1320	76	17	)	)	PUNCT
cana-1320	76	18	,	,	PUNCT
cana-1320	76	19	+	+	CCONJ
cana-1320	76	20	(	(	PUNCT
cana-1320	76	21			NOUN
cana-1320	76	22	)	)	PUNCT
cana-1320	76	23	}	}	PUNCT
cana-1320	76	24			X
cana-1320	76	25	rmin{rmin	rmin{rmin	NOUN
cana-1320	76	26	{	{	PUNCT
cana-1320	76	27	+	+	X
cana-1320	76	28	(	(	PUNCT
cana-1320	76	29	)	)	PUNCT
cana-1320	76	30	,	,	PUNCT
cana-1320	76	31	+	+	CCONJ
cana-1320	76	32	(	(	PUNCT
cana-1320	76	33	)	)	PUNCT
cana-1320	76	34	}	}	PUNCT
cana-1320	76	35	,	,	PUNCT
cana-1320	76	36	rmin	rmin	NOUN
cana-1320	76	37	{	{	PUNCT
cana-1320	76	38	+	+	X
cana-1320	76	39	(	(	PUNCT
cana-1320	76	40	)	)	PUNCT
cana-1320	76	41	,	,	PUNCT
cana-1320	76	42	+	+	CCONJ
cana-1320	76	43	(	(	PUNCT
cana-1320	76	44	)	)	PUNCT
cana-1320	76	45	}	}	PUNCT
cana-1320	76	46	}	}	PUNCT
cana-1320	76	47	=	=	SYM
cana-1320	76	48	rmin{rmin	rmin{rmin	NOUN
cana-1320	76	49	{	{	PUNCT
cana-1320	76	50	+	+	X
cana-1320	76	51	(	(	PUNCT
cana-1320	76	52	)	)	PUNCT
cana-1320	76	53	,	,	PUNCT
cana-1320	76	54	+	+	CCONJ
cana-1320	76	55	(	(	PUNCT
cana-1320	76	56	)	)	PUNCT
cana-1320	76	57	}	}	PUNCT
cana-1320	76	58	,	,	PUNCT
cana-1320	76	59	rmin	rmin	NOUN
cana-1320	76	60	{	{	PUNCT
cana-1320	76	61	+	+	X
cana-1320	76	62	(	(	PUNCT
cana-1320	76	63	)	)	PUNCT
cana-1320	76	64	,	,	PUNCT
cana-1320	76	65	+	+	CCONJ
cana-1320	76	66	(	(	PUNCT
cana-1320	76	67	)	)	PUNCT
cana-1320	76	68	}	}	PUNCT
cana-1320	76	69	}	}	PUNCT
cana-1320	76	70	=	=	SYM
cana-1320	76	71	rmin	rmin	NOUN
cana-1320	76	72	{	{	PUNCT
cana-1320	76	73	(	(	PUNCT
cana-1320	76	74	×	×	PROPN
cana-1320	76	75	)	)	PUNCT
cana-1320	76	76	+	+	CCONJ
cana-1320	76	77	(	(	PUNCT
cana-1320	76	78	,	,	PUNCT
cana-1320	76	79	)	)	PUNCT
cana-1320	76	80	,	,	PUNCT
cana-1320	76	81	(	(	PUNCT
cana-1320	76	82	×	×	NOUN
cana-1320	76	83	)	)	PUNCT
cana-1320	76	84	+	+	CCONJ
cana-1320	76	85	(	(	PUNCT
cana-1320	76	86	,	,	PUNCT
cana-1320	76	87	)	)	PUNCT
cana-1320	76	88	}	}	PUNCT
cana-1320	76	89	,	,	PUNCT
cana-1320	76	90			NOUN
cana-1320	76	91	(	(	PUNCT
cana-1320	76	92	,	,	PUNCT
cana-1320	76	93	)	)	PUNCT
cana-1320	76	94	,	,	PUNCT
cana-1320	76	95	(	(	PUNCT
cana-1320	76	96	,	,	PUNCT
cana-1320	76	97	)	)	PUNCT
cana-1320	76	98			NOUN
cana-1320	76	99	1×	1×	NUM
cana-1320	76	100	2	2	NUM
cana-1320	76	101	.	.	PUNCT
cana-1320	76	102	and	and	CCONJ
cana-1320	76	103	(	(	PUNCT
cana-1320	76	104	×	×	NOUN
cana-1320	76	105	)	)	PUNCT
cana-1320	76	106	+	+	CCONJ
cana-1320	77	1	[	[	X
cana-1320	77	2	(	(	PUNCT
cana-1320	77	3	,	,	PUNCT
cana-1320	77	4	)	)	PUNCT
cana-1320	77	5	(	(	PUNCT
cana-1320	77	6	)	)	PUNCT
cana-1320	77	7	]	]	PUNCT
cana-1320	78	1	=	=	PUNCT
cana-1320	78	2	(	(	PUNCT
cana-1320	78	3	×	×	PROPN
cana-1320	78	4	)	)	PUNCT
cana-1320	78	5	+	+	CCONJ
cana-1320	78	6	(	(	PUNCT
cana-1320	78	7	,	,	PUNCT
cana-1320	78	8	)	)	PUNCT
cana-1320	78	9	=	=	SYM
cana-1320	78	10	rmin	rmin	NOUN
cana-1320	78	11	{	{	PUNCT
cana-1320	78	12	+	+	X
cana-1320	78	13	(	(	PUNCT
cana-1320	78	14	)	)	PUNCT
cana-1320	78	15	,	,	PUNCT
cana-1320	78	16	+	+	CCONJ
cana-1320	78	17	(	(	PUNCT
cana-1320	78	18	)	)	PUNCT
cana-1320	78	19	}	}	PUNCT
cana-1320	78	20			X
cana-1320	78	21	rmin{rmin	rmin{rmin	NOUN
cana-1320	78	22	{	{	PUNCT
cana-1320	78	23	+	+	X
cana-1320	78	24	(	(	PUNCT
cana-1320	78	25	)	)	PUNCT
cana-1320	78	26	,	,	PUNCT
cana-1320	78	27	+	+	CCONJ
cana-1320	78	28	(	(	PUNCT
cana-1320	78	29	)	)	PUNCT
cana-1320	78	30	}	}	PUNCT
cana-1320	78	31	,	,	PUNCT
cana-1320	78	32	rmin	rmin	NOUN
cana-1320	78	33	{	{	PUNCT
cana-1320	78	34	+	+	X
cana-1320	78	35	(	(	PUNCT
cana-1320	78	36	)	)	PUNCT
cana-1320	78	37	,	,	PUNCT
cana-1320	78	38	+	+	CCONJ
cana-1320	78	39	(	(	PUNCT
cana-1320	78	40	)	)	PUNCT
cana-1320	78	41	}	}	PUNCT
cana-1320	78	42	}	}	PUNCT
cana-1320	78	43	=	=	SYM
cana-1320	78	44	rmin{rmin	rmin{rmin	NOUN
cana-1320	78	45	{	{	PUNCT
cana-1320	78	46	+	+	X
cana-1320	78	47	(	(	PUNCT
cana-1320	78	48	)	)	PUNCT
cana-1320	78	49	,	,	PUNCT
cana-1320	78	50	+	+	CCONJ
cana-1320	78	51	(	(	PUNCT
cana-1320	78	52	)	)	PUNCT
cana-1320	78	53	}	}	PUNCT
cana-1320	78	54	,	,	PUNCT
cana-1320	78	55	rmin	rmin	NOUN
cana-1320	78	56	{	{	PUNCT
cana-1320	78	57	+	+	X
cana-1320	78	58	(	(	PUNCT
cana-1320	78	59	)	)	PUNCT
cana-1320	78	60	,	,	PUNCT
cana-1320	78	61	+	+	CCONJ
cana-1320	78	62	(	(	PUNCT
cana-1320	78	63	)	)	PUNCT
cana-1320	78	64	}	}	PUNCT
cana-1320	78	65	}	}	PUNCT
cana-1320	78	66	=	=	SYM
cana-1320	78	67	rmin	rmin	NOUN
cana-1320	78	68	{	{	PUNCT
cana-1320	78	69	(	(	PUNCT
cana-1320	78	70	×	×	PROPN
cana-1320	78	71	)	)	PUNCT
cana-1320	78	72	+	+	CCONJ
cana-1320	78	73	(	(	PUNCT
cana-1320	78	74	,	,	PUNCT
cana-1320	78	75	)	)	PUNCT
cana-1320	78	76	,	,	PUNCT
cana-1320	78	77	(	(	PUNCT
cana-1320	78	78	×	×	NOUN
cana-1320	78	79	)	)	PUNCT
cana-1320	78	80	+	+	CCONJ
cana-1320	78	81	(	(	PUNCT
cana-1320	78	82	,	,	PUNCT
cana-1320	78	83	)	)	PUNCT
cana-1320	78	84	}	}	PUNCT
cana-1320	78	85	,	,	PUNCT
cana-1320	78	86			NOUN
cana-1320	78	87	(	(	PUNCT
cana-1320	78	88	,	,	PUNCT
cana-1320	78	89	)	)	PUNCT
cana-1320	78	90	,	,	PUNCT
cana-1320	78	91	(	(	PUNCT
cana-1320	78	92	,	,	PUNCT
cana-1320	78	93	)	)	PUNCT
cana-1320	78	94			NOUN
cana-1320	78	95	1×	1×	NUM
cana-1320	78	96	2	2	NUM
cana-1320	78	97	.	.	PUNCT
cana-1320	79	1	also	also	ADV
cana-1320	79	2	(	(	PUNCT
cana-1320	79	3	×	×	NOUN
cana-1320	79	4	)	)	PUNCT
cana-1320	79	5			NOUN
cana-1320	79	6	[	[	X
cana-1320	79	7	(	(	PUNCT
cana-1320	79	8	,	,	PUNCT
cana-1320	79	9	)	)	PUNCT
cana-1320	79	10			NOUN
cana-1320	79	11	(	(	PUNCT
cana-1320	79	12	,	,	PUNCT
cana-1320	79	13	)	)	PUNCT
cana-1320	79	14	]	]	PUNCT
cana-1320	80	1	=	=	PUNCT
cana-1320	80	2	(	(	PUNCT
cana-1320	80	3	×	×	NOUN
cana-1320	80	4	)	)	PUNCT
cana-1320	80	5			PROPN
cana-1320	80	6	(	(	PUNCT
cana-1320	80	7			NOUN
cana-1320	80	8	,	,	PUNCT
cana-1320	80	9			NOUN
cana-1320	80	10	)	)	PUNCT
cana-1320	80	11	=	=	PUNCT
cana-1320	80	12	rmax	rmax	ADJ
cana-1320	80	13	{	{	PUNCT
cana-1320	80	14			PROPN
cana-1320	80	15	(	(	PUNCT
cana-1320	80	16			PROPN
cana-1320	80	17	)	)	PUNCT
cana-1320	80	18	,	,	PUNCT
cana-1320	80	19			NOUN
cana-1320	80	20	(	(	PUNCT
cana-1320	80	21			NOUN
cana-1320	80	22	)	)	PUNCT
cana-1320	80	23	}	}	PUNCT
cana-1320	80	24			NUM
cana-1320	80	25	rmax{rmax	rmax{rmax	NOUN
cana-1320	80	26	{	{	PUNCT
cana-1320	80	27			NOUN
cana-1320	80	28	(	(	PUNCT
cana-1320	80	29	)	)	PUNCT
cana-1320	80	30	,	,	PUNCT
cana-1320	80	31			NOUN
cana-1320	80	32	(	(	PUNCT
cana-1320	80	33	)	)	PUNCT
cana-1320	80	34	}	}	PUNCT
cana-1320	80	35	,	,	PUNCT
cana-1320	80	36	rmax	rmax	ADJ
cana-1320	80	37	{	{	PUNCT
cana-1320	80	38			NOUN
cana-1320	80	39	(	(	PUNCT
cana-1320	80	40	)	)	PUNCT
cana-1320	80	41	,	,	PUNCT
cana-1320	80	42			NOUN
cana-1320	80	43	(	(	PUNCT
cana-1320	80	44	)	)	PUNCT
cana-1320	80	45	}	}	PUNCT
cana-1320	80	46	}	}	PUNCT
cana-1320	80	47	=	=	SYM
cana-1320	80	48	rmax{rmax	rmax{rmax	X
cana-1320	80	49	{	{	PUNCT
cana-1320	80	50			NOUN
cana-1320	80	51	(	(	PUNCT
cana-1320	80	52	)	)	PUNCT
cana-1320	80	53	,	,	PUNCT
cana-1320	80	54			NOUN
cana-1320	80	55	(	(	PUNCT
cana-1320	80	56	)	)	PUNCT
cana-1320	80	57	}	}	PUNCT
cana-1320	80	58	,	,	PUNCT
cana-1320	80	59	rmax	rmax	ADJ
cana-1320	80	60	{	{	PUNCT
cana-1320	80	61			NOUN
cana-1320	80	62	(	(	PUNCT
cana-1320	80	63	)	)	PUNCT
cana-1320	80	64	,	,	PUNCT
cana-1320	80	65			NOUN
cana-1320	80	66	(	(	PUNCT
cana-1320	80	67	)	)	PUNCT
cana-1320	80	68	}	}	PUNCT
cana-1320	80	69	}	}	PUNCT
cana-1320	80	70	=	=	SYM
cana-1320	80	71	rmax	rmax	ADJ
cana-1320	80	72	{	{	PUNCT
cana-1320	80	73	(	(	PUNCT
cana-1320	80	74	×	×	NOUN
cana-1320	80	75	)	)	PUNCT
cana-1320	80	76			PROPN
cana-1320	80	77	(	(	PUNCT
cana-1320	80	78	,	,	PUNCT
cana-1320	80	79	)	)	PUNCT
cana-1320	80	80	,	,	PUNCT
cana-1320	80	81	(	(	PUNCT
cana-1320	80	82	×	×	NOUN
cana-1320	80	83	)	)	PUNCT
cana-1320	80	84			PROPN
cana-1320	80	85	(	(	PUNCT
cana-1320	80	86	,	,	PUNCT
cana-1320	80	87	)	)	PUNCT
cana-1320	80	88	}	}	PUNCT
cana-1320	80	89	,	,	PUNCT
cana-1320	80	90			NOUN
cana-1320	80	91	(	(	PUNCT
cana-1320	80	92	,	,	PUNCT
cana-1320	80	93	)	)	PUNCT
cana-1320	80	94	,	,	PUNCT
cana-1320	80	95	(	(	PUNCT
cana-1320	80	96	,	,	PUNCT
cana-1320	80	97	)	)	PUNCT
cana-1320	80	98			NOUN
cana-1320	80	99	1×	1×	NUM
cana-1320	80	100	2	2	NUM
cana-1320	80	101	.	.	PUNCT
cana-1320	80	102	and	and	CCONJ
cana-1320	80	103	(	(	PUNCT
cana-1320	80	104	×	×	NOUN
cana-1320	80	105	)	)	PUNCT
cana-1320	80	106			NOUN
cana-1320	80	107	[	[	X
cana-1320	80	108	(	(	PUNCT
cana-1320	80	109	,	,	PUNCT
cana-1320	80	110	)	)	PUNCT
cana-1320	80	111	(	(	PUNCT
cana-1320	80	112	)	)	PUNCT
cana-1320	80	113	]	]	PUNCT
cana-1320	80	114	=	=	PUNCT
cana-1320	80	115	(	(	PUNCT
cana-1320	80	116	×	×	NOUN
cana-1320	80	117	)	)	PUNCT
cana-1320	80	118			PROPN
cana-1320	80	119	(	(	PUNCT
cana-1320	80	120	,	,	PUNCT
cana-1320	80	121	)	)	PUNCT
cana-1320	80	122	=	=	SYM
cana-1320	80	123	rmax	rmax	ADJ
cana-1320	80	124	{	{	PUNCT
cana-1320	80	125			NOUN
cana-1320	80	126	(	(	PUNCT
cana-1320	80	127	)	)	PUNCT
cana-1320	80	128	,	,	PUNCT
cana-1320	80	129			NOUN
cana-1320	80	130	(	(	PUNCT
cana-1320	80	131	)	)	PUNCT
cana-1320	80	132	}	}	PUNCT
cana-1320	80	133			NUM
cana-1320	80	134	rmax	rmax	ADJ
cana-1320	80	135	{	{	PUNCT
cana-1320	80	136	rmax	rmax	ADJ
cana-1320	80	137	{	{	PUNCT
cana-1320	80	138			NOUN
cana-1320	80	139	(	(	PUNCT
cana-1320	80	140	)	)	PUNCT
cana-1320	80	141	,	,	PUNCT
cana-1320	80	142			NOUN
cana-1320	80	143	(	(	PUNCT
cana-1320	80	144	)	)	PUNCT
cana-1320	80	145	}	}	PUNCT
cana-1320	80	146	,	,	PUNCT
cana-1320	80	147	rmax	rmax	ADJ
cana-1320	80	148	{	{	PUNCT
cana-1320	80	149			NOUN
cana-1320	80	150	(	(	PUNCT
cana-1320	80	151	)	)	PUNCT
cana-1320	80	152	,	,	PUNCT
cana-1320	80	153			NOUN
cana-1320	80	154	(	(	PUNCT
cana-1320	80	155	)	)	PUNCT
cana-1320	80	156	}	}	PUNCT
cana-1320	80	157	}	}	PUNCT
cana-1320	80	158	=	=	SYM
cana-1320	80	159	rmax{rmax	rmax{rmax	X
cana-1320	80	160	{	{	PUNCT
cana-1320	80	161			NOUN
cana-1320	80	162	(	(	PUNCT
cana-1320	80	163	)	)	PUNCT
cana-1320	80	164	,	,	PUNCT
cana-1320	80	165			NOUN
cana-1320	80	166	(	(	PUNCT
cana-1320	80	167	)	)	PUNCT
cana-1320	80	168	}	}	PUNCT
cana-1320	80	169	,	,	PUNCT
cana-1320	80	170	rmax	rmax	ADJ
cana-1320	80	171	{	{	PUNCT
cana-1320	80	172			NOUN
cana-1320	80	173	(	(	PUNCT
cana-1320	80	174	)	)	PUNCT
cana-1320	80	175	,	,	PUNCT
cana-1320	80	176			NOUN
cana-1320	80	177	(	(	PUNCT
cana-1320	80	178	)	)	PUNCT
cana-1320	80	179	}	}	PUNCT
cana-1320	80	180	}	}	PUNCT
cana-1320	80	181	=	=	SYM
cana-1320	80	182	rmax	rmax	ADJ
cana-1320	80	183	{	{	PUNCT
cana-1320	80	184	(	(	PUNCT
cana-1320	80	185	×	×	NOUN
cana-1320	80	186	)	)	PUNCT
cana-1320	80	187			PROPN
cana-1320	80	188	(	(	PUNCT
cana-1320	80	189	,	,	PUNCT
cana-1320	80	190	)	)	PUNCT
cana-1320	80	191	,	,	PUNCT
cana-1320	80	192	(	(	PUNCT
cana-1320	80	193	×	×	NOUN
cana-1320	80	194	)	)	PUNCT
cana-1320	80	195			PROPN
cana-1320	80	196	(	(	PUNCT
cana-1320	80	197	,	,	PUNCT
cana-1320	80	198	)	)	PUNCT
cana-1320	80	199	}	}	PUNCT
cana-1320	80	200	,	,	PUNCT
cana-1320	80	201			NOUN
cana-1320	80	202	(	(	PUNCT
cana-1320	80	203	,	,	PUNCT
cana-1320	80	204	)	)	PUNCT
cana-1320	80	205	,	,	PUNCT
cana-1320	80	206	(	(	PUNCT
cana-1320	80	207	,	,	PUNCT
cana-1320	80	208	)	)	PUNCT
cana-1320	80	209			NOUN
cana-1320	80	210	1×	1×	NUM
cana-1320	80	211	2	2	NUM
cana-1320	80	212	.	.	PUNCT
cana-1320	80	213	hence	hence	ADV
cana-1320	80	214	×	×	NOUN
cana-1320	80	215	is	be	AUX
cana-1320	80	216	a	a	PRON
cana-1320	80	217	of	of	ADP
cana-1320	80	218	1×	1×	NUM
cana-1320	80	219	2	2	NUM
cana-1320	80	220	.	.	PUNCT
cana-1320	80	221	theorem	theorem	VERB
cana-1320	80	222	2.8	2.8	NUM
cana-1320	80	223	.	.	PUNCT
cana-1320	81	1			X
cana-1320	81	2	,	,	PUNCT
cana-1320	81	3			PROPN
cana-1320	81	4	,	,	PUNCT
cana-1320	81	5			PRON
cana-1320	81	6	,	,	PUNCT
cana-1320	81	7			PROPN
cana-1320	81	8	,	,	PUNCT
cana-1320	81	9	…	…	PUNCT
cana-1320	81	10	and	and	CCONJ
cana-1320	81	11			X
cana-1320	81	12	,	,	PUNCT
cana-1320	81	13			PROPN
cana-1320	81	14	…	…	PUNCT
cana-1320	81	15	is	be	AUX
cana-1320	81	16	also	also	ADV
cana-1320	81	17	a	a	PRON
cana-1320	81	18	of	of	ADP
cana-1320	81	19	…	…	PUNCT
cana-1320	81	20	.	.	PUNCT
cana-1320	82	1	proof	proof	NOUN
cana-1320	82	2	.	.	PUNCT
cana-1320	83	1	by	by	ADP
cana-1320	83	2	theorem	theorem	NOUN
cana-1320	83	3	2.7	2.7	NUM
cana-1320	83	4	,	,	PUNCT
cana-1320	83	5	it	it	PRON
cana-1320	83	6	can	can	AUX
cana-1320	83	7	be	be	AUX
cana-1320	83	8	easily	easily	ADV
cana-1320	83	9	shown	show	VERB
cana-1320	83	10	.	.	PUNCT
cana-1320	84	1	theorem	theorem	VERB
cana-1320	84	2	2.9	2.9	NUM
cana-1320	84	3	.	.	PUNCT
cana-1320	85	1			PUNCT
cana-1320	85	2	,	,	PUNCT
cana-1320	85	3			PROPN
cana-1320	85	4	,	,	PUNCT
cana-1320	85	5			PRON
cana-1320	85	6	,	,	PUNCT
cana-1320	85	7			PROPN
cana-1320	85	8	be	be	VERB
cana-1320	85	9	two	two	NUM
cana-1320	85	10	is	be	AUX
cana-1320	85	11	a	a	PRON
cana-1320	85	12	of	of	ADP
cana-1320	85	13	the	the	DET
cana-1320	85	14	field	field	NOUN
cana-1320	85	15	then	then	ADV
cana-1320	85	16	atleast	atleast	VERB
cana-1320	85	17	the	the	DET
cana-1320	85	18	following	follow	VERB
cana-1320	85	19	one	one	NUM
cana-1320	85	20	holds	hold	NOUN
cana-1320	85	21	,	,	PUNCT
cana-1320	85	22	where	where	SCONJ
cana-1320	85	23	are	be	AUX
cana-1320	85	24	,	,	PUNCT
cana-1320	85	25	(	(	PUNCT
cana-1320	85	26	)	)	PUNCT
cana-1320	85	27	(	(	PUNCT
cana-1320	85	28	)	)	PUNCT
cana-1320	85	29	(	(	PUNCT
cana-1320	85	30	)	)	PUNCT
cana-1320	85	31	(	(	PUNCT
cana-1320	85	32	)	)	PUNCT
cana-1320	85	33	(	(	PUNCT
cana-1320	85	34	)	)	PUNCT
cana-1320	85	35	(	(	PUNCT
cana-1320	85	36	)	)	PUNCT
cana-1320	85	37	(	(	PUNCT
cana-1320	85	38	)	)	PUNCT
cana-1320	85	39	(	(	PUNCT
cana-1320	85	40	)	)	PUNCT
cana-1320	85	41	(	(	PUNCT
cana-1320	85	42	)	)	PUNCT
cana-1320	85	43	(	(	PUNCT
cana-1320	85	44	)	)	PUNCT
cana-1320	85	45	(	(	PUNCT
cana-1320	85	46	)	)	PUNCT
cana-1320	85	47	(	(	PUNCT
cana-1320	85	48	)	)	PUNCT
cana-1320	85	49	(	(	PUNCT
cana-1320	85	50	)	)	PUNCT
cana-1320	85	51	(	(	PUNCT
cana-1320	85	52	)	)	PUNCT
cana-1320	85	53	(	(	PUNCT
cana-1320	85	54	)	)	PUNCT
cana-1320	85	55	(	(	PUNCT
cana-1320	85	56	)	)	PUNCT
cana-1320	85	57	(	(	PUNCT
cana-1320	85	58	)	)	PUNCT
cana-1320	85	59	(	(	PUNCT
cana-1320	85	60	)	)	PUNCT
cana-1320	85	61	proof	proof	NOUN
cana-1320	85	62	.	.	PUNCT
cana-1320	86	1	let	let	VERB
cana-1320	86	2	is	be	AUX
cana-1320	86	3	a	a	PRON
cana-1320	86	4	of	of	ADP
cana-1320	86	5	the	the	DET
cana-1320	86	6	field	field	NOUN
cana-1320	86	7	(	(	PUNCT
cana-1320	86	8	)	)	PUNCT
cana-1320	86	9	(	(	PUNCT
cana-1320	86	10	)	)	PUNCT
cana-1320	86	11	communications	communication	NOUN
cana-1320	86	12	on	on	ADP
cana-1320	86	13	applied	apply	VERB
cana-1320	86	14	nonlinear	nonlinear	ADJ
cana-1320	86	15	analysis	analysis	NOUN
cana-1320	86	16	issn	issn	NOUN
cana-1320	86	17	:	:	PUNCT
cana-1320	86	18	1074	1074	NUM
cana-1320	86	19	-	-	PUNCT
cana-1320	86	20	133x	133x	NUM
cana-1320	86	21	vol	vol	NOUN
cana-1320	86	22	31	31	NUM
cana-1320	86	23	no	no	NOUN
cana-1320	86	24	.	.	PUNCT
cana-1320	87	1	7s	7	NOUN
cana-1320	87	2	(	(	PUNCT
cana-1320	87	3	2024	2024	NUM
cana-1320	87	4	)	)	PUNCT
cana-1320	87	5	418	418	NUM
cana-1320	87	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	87	7	(	(	PUNCT
cana-1320	87	8	,	,	PUNCT
cana-1320	87	9	)	)	PUNCT
cana-1320	87	10			NOUN
cana-1320	87	11	1×	1×	NUM
cana-1320	87	12	2	2	NUM
cana-1320	87	13	.	.	PUNCT
cana-1320	88	1	then	then	ADV
cana-1320	88	2	(	(	PUNCT
cana-1320	88	3	)	)	PUNCT
cana-1320	88	4	+	+	CCONJ
cana-1320	88	5	(	(	PUNCT
cana-1320	88	6	,	,	PUNCT
cana-1320	88	7	)	)	PUNCT
cana-1320	88	8	=	=	SYM
cana-1320	88	9	rmin	rmin	NOUN
cana-1320	88	10	{	{	PUNCT
cana-1320	88	11	+	+	X
cana-1320	88	12	(	(	PUNCT
cana-1320	88	13	)	)	PUNCT
cana-1320	88	14	,	,	PUNCT
cana-1320	88	15	+	+	CCONJ
cana-1320	88	16	(	(	PUNCT
cana-1320	88	17	)	)	PUNCT
cana-1320	88	18	}	}	PUNCT
cana-1320	88	19	>	>	X
cana-1320	88	20	rmin	rmin	NOUN
cana-1320	88	21	{	{	PUNCT
cana-1320	88	22	+	+	X
cana-1320	88	23	(	(	PUNCT
cana-1320	88	24	)	)	PUNCT
cana-1320	88	25	,	,	PUNCT
cana-1320	88	26	+	+	CCONJ
cana-1320	88	27	(	(	PUNCT
cana-1320	88	28	)	)	PUNCT
cana-1320	88	29	}	}	PUNCT
cana-1320	88	30	=	=	SYM
cana-1320	88	31	(	(	PUNCT
cana-1320	88	32	)	)	PUNCT
cana-1320	88	33	+	+	CCONJ
cana-1320	88	34	(	(	PUNCT
cana-1320	88	35	,	,	PUNCT
cana-1320	88	36	)	)	PUNCT
cana-1320	88	37	,	,	PUNCT
cana-1320	88	38	which	which	PRON
cana-1320	88	39	is	be	AUX
cana-1320	88	40			PUNCT
cana-1320	88	41	to	to	PART
cana-1320	88	42	is	be	AUX
cana-1320	88	43	a	a	PRON
cana-1320	88	44	of	of	ADP
cana-1320	88	45	the	the	DET
cana-1320	88	46	field	field	NOUN
cana-1320	88	47	.	.	PUNCT
cana-1320	89	1	hence	hence	ADV
cana-1320	89	2	atleast	atleast	VERB
cana-1320	89	3	one	one	NUM
cana-1320	89	4	of	of	ADP
cana-1320	89	5	the	the	DET
cana-1320	89	6	two	two	NUM
cana-1320	89	7	(	(	PUNCT
cana-1320	89	8	i	i	NOUN
cana-1320	89	9	)	)	PUNCT
cana-1320	89	10	and	and	CCONJ
cana-1320	89	11	(	(	PUNCT
cana-1320	89	12	ii	ii	NOUN
cana-1320	89	13	)	)	PUNCT
cana-1320	89	14	are	be	AUX
cana-1320	89	15	true	true	ADJ
cana-1320	89	16	.	.	PUNCT
cana-1320	90	1	theorem	theorem	ADJ
cana-1320	90	2	2.10	2.10	NUM
cana-1320	90	3	.	.	PUNCT
cana-1320	91	1			X
cana-1320	91	2	,	,	PUNCT
cana-1320	91	3			PROPN
cana-1320	91	4	,	,	PUNCT
cana-1320	91	5			PRON
cana-1320	91	6	,	,	PUNCT
cana-1320	91	7			PROPN
cana-1320	91	8	be	be	VERB
cana-1320	91	9	two	two	NUM
cana-1320	91	10	is	be	AUX
cana-1320	91	11	a	a	PRON
cana-1320	91	12	of	of	ADP
cana-1320	91	13	the	the	DET
cana-1320	91	14	field	field	NOUN
cana-1320	91	15	(	(	PUNCT
cana-1320	91	16	)	)	PUNCT
cana-1320	91	17	(	(	PUNCT
cana-1320	91	18	)	)	PUNCT
cana-1320	91	19	(	(	PUNCT
cana-1320	91	20	)	)	PUNCT
cana-1320	91	21	(	(	PUNCT
cana-1320	91	22	)	)	PUNCT
cana-1320	91	23	(	(	PUNCT
cana-1320	91	24	)	)	PUNCT
cana-1320	91	25	(	(	PUNCT
cana-1320	91	26	)	)	PUNCT
cana-1320	91	27	(	(	PUNCT
cana-1320	91	28	)	)	PUNCT
cana-1320	91	29	(	(	PUNCT
cana-1320	91	30	)	)	PUNCT
cana-1320	91	31	(	(	PUNCT
cana-1320	91	32	)	)	PUNCT
cana-1320	91	33	where	where	SCONJ
cana-1320	91	34	are	be	AUX
cana-1320	91	35	;	;	PUNCT
cana-1320	91	36	(	(	PUNCT
cana-1320	91	37	)	)	PUNCT
cana-1320	91	38	(	(	PUNCT
cana-1320	91	39	)	)	PUNCT
cana-1320	91	40	(	(	PUNCT
cana-1320	91	41	)	)	PUNCT
cana-1320	91	42	(	(	PUNCT
cana-1320	91	43	)	)	PUNCT
cana-1320	91	44	(	(	PUNCT
cana-1320	91	45	)	)	PUNCT
cana-1320	91	46	(	(	PUNCT
cana-1320	91	47	)	)	PUNCT
cana-1320	91	48	(	(	PUNCT
cana-1320	91	49	)	)	PUNCT
cana-1320	91	50	(	(	PUNCT
cana-1320	91	51	)	)	PUNCT
cana-1320	91	52	(	(	PUNCT
cana-1320	91	53	)	)	PUNCT
cana-1320	91	54	proof	proof	NOUN
cana-1320	91	55	.	.	PUNCT
cana-1320	92	1	let	let	AUX
cana-1320	92	2	be	be	AUX
cana-1320	92	3	in	in	ADP
cana-1320	92	4	.	.	PUNCT
cana-1320	93	1	then	then	ADV
cana-1320	93	2	(	(	PUNCT
cana-1320	93	3	,	,	PUNCT
cana-1320	93	4	)	)	PUNCT
cana-1320	93	5	and	and	CCONJ
cana-1320	93	6	(	(	PUNCT
cana-1320	93	7	,	,	PUNCT
cana-1320	93	8	)	)	PUNCT
cana-1320	93	9	are	be	AUX
cana-1320	93	10	in	in	ADP
cana-1320	93	11	×	×	PROPN
cana-1320	93	12	.	.	PUNCT
cana-1320	94	1	then	then	ADV
cana-1320	94	2	(	(	PUNCT
cana-1320	94	3	i	i	NOUN
cana-1320	94	4	)	)	PUNCT
cana-1320	95	1	+	+	CCONJ
cana-1320	95	2	(	(	PUNCT
cana-1320	95	3			NOUN
cana-1320	95	4	)	)	PUNCT
cana-1320	95	5	=	=	SYM
cana-1320	95	6	rmin	rmin	NOUN
cana-1320	95	7	{	{	PUNCT
cana-1320	95	8	+	+	CCONJ
cana-1320	95	9	(	(	PUNCT
cana-1320	95	10			NOUN
cana-1320	95	11	)	)	PUNCT
cana-1320	95	12	,	,	PUNCT
cana-1320	95	13	+	+	CCONJ
cana-1320	95	14	(	(	PUNCT
cana-1320	95	15			NOUN
cana-1320	95	16	)	)	PUNCT
cana-1320	95	17	}	}	PUNCT
cana-1320	95	18	=	=	SYM
cana-1320	95	19	(	(	PUNCT
cana-1320	95	20	×	×	NOUN
cana-1320	95	21	)	)	PUNCT
cana-1320	95	22	+	+	CCONJ
cana-1320	95	23	(	(	PUNCT
cana-1320	95	24			NOUN
cana-1320	95	25	,	,	PUNCT
cana-1320	95	26			NOUN
cana-1320	95	27	)	)	PUNCT
cana-1320	95	28	=	=	SYM
cana-1320	95	29	(	(	PUNCT
cana-1320	95	30	×	×	NOUN
cana-1320	95	31	)	)	PUNCT
cana-1320	95	32	+	+	PUNCT
cana-1320	96	1	[	[	X
cana-1320	96	2	(	(	PUNCT
cana-1320	96	3	,	,	PUNCT
cana-1320	96	4	)	)	PUNCT
cana-1320	96	5			NOUN
cana-1320	96	6	(	(	PUNCT
cana-1320	96	7	,	,	PUNCT
cana-1320	96	8	)	)	PUNCT
cana-1320	96	9	]	]	PUNCT
cana-1320	96	10			NUM
cana-1320	96	11	rmin	rmin	NOUN
cana-1320	96	12	{	{	PUNCT
cana-1320	96	13	(	(	PUNCT
cana-1320	96	14	×	×	PROPN
cana-1320	96	15	)	)	PUNCT
cana-1320	96	16	+	+	CCONJ
cana-1320	96	17	(	(	PUNCT
cana-1320	96	18	,	,	PUNCT
cana-1320	96	19	)	)	PUNCT
cana-1320	96	20	,	,	PUNCT
cana-1320	96	21	(	(	PUNCT
cana-1320	96	22	×	×	NOUN
cana-1320	96	23	)	)	PUNCT
cana-1320	96	24	+	+	CCONJ
cana-1320	96	25	(	(	PUNCT
cana-1320	96	26	,	,	PUNCT
cana-1320	96	27	)	)	PUNCT
cana-1320	96	28	}	}	PUNCT
cana-1320	96	29	=	=	SYM
cana-1320	96	30	rmin{rmin	rmin{rmin	NOUN
cana-1320	96	31	{	{	PUNCT
cana-1320	96	32	+	+	X
cana-1320	96	33	(	(	PUNCT
cana-1320	96	34	)	)	PUNCT
cana-1320	96	35	,	,	PUNCT
cana-1320	96	36	+	+	CCONJ
cana-1320	96	37	(	(	PUNCT
cana-1320	96	38	)	)	PUNCT
cana-1320	96	39	}	}	PUNCT
cana-1320	96	40	,	,	PUNCT
cana-1320	96	41	rmin	rmin	NOUN
cana-1320	96	42	{	{	PUNCT
cana-1320	96	43	+	+	X
cana-1320	96	44	(	(	PUNCT
cana-1320	96	45	)	)	PUNCT
cana-1320	96	46	,	,	PUNCT
cana-1320	96	47	+	+	CCONJ
cana-1320	96	48	(	(	PUNCT
cana-1320	96	49	)	)	PUNCT
cana-1320	96	50	}	}	PUNCT
cana-1320	96	51	}	}	PUNCT
cana-1320	96	52	=	=	SYM
cana-1320	96	53	rmin	rmin	NOUN
cana-1320	96	54	{	{	PUNCT
cana-1320	96	55	+	+	X
cana-1320	96	56	(	(	PUNCT
cana-1320	96	57	)	)	PUNCT
cana-1320	96	58	,	,	PUNCT
cana-1320	96	59	+	+	CCONJ
cana-1320	96	60	(	(	PUNCT
cana-1320	96	61	)	)	PUNCT
cana-1320	96	62	}	}	PUNCT
cana-1320	96	63	,	,	PUNCT
cana-1320	96	64			VERB
cana-1320	96	65	in	in	ADP
cana-1320	96	66	.	.	PUNCT
cana-1320	97	1	and	and	CCONJ
cana-1320	97	2	+	+	CCONJ
cana-1320	97	3	(	(	PUNCT
cana-1320	97	4	)	)	PUNCT
cana-1320	97	5	=	=	SYM
cana-1320	97	6	rmin	rmin	NOUN
cana-1320	97	7	{	{	PUNCT
cana-1320	97	8	+	+	X
cana-1320	97	9	(	(	PUNCT
cana-1320	97	10	)	)	PUNCT
cana-1320	97	11	,	,	PUNCT
cana-1320	97	12	+	+	CCONJ
cana-1320	97	13	(	(	PUNCT
cana-1320	97	14	)	)	PUNCT
cana-1320	97	15	}	}	PUNCT
cana-1320	97	16	=	=	SYM
cana-1320	97	17	(	(	PUNCT
cana-1320	97	18	×	×	NOUN
cana-1320	97	19	)	)	PUNCT
cana-1320	97	20	+	+	CCONJ
cana-1320	97	21	(	(	PUNCT
cana-1320	97	22	,	,	PUNCT
cana-1320	97	23	)	)	PUNCT
cana-1320	97	24	=	=	PUNCT
cana-1320	97	25	(	(	PUNCT
cana-1320	97	26	×	×	NOUN
cana-1320	97	27	)	)	PUNCT
cana-1320	97	28	+	+	PUNCT
cana-1320	98	1	[	[	X
cana-1320	98	2	(	(	PUNCT
cana-1320	98	3	,	,	PUNCT
cana-1320	98	4	)	)	PUNCT
cana-1320	98	5	(	(	PUNCT
cana-1320	98	6	)	)	PUNCT
cana-1320	98	7	]	]	PUNCT
cana-1320	98	8			NUM
cana-1320	98	9	rmin	rmin	VERB
cana-1320	98	10	{	{	PUNCT
cana-1320	98	11	(	(	PUNCT
cana-1320	98	12	×	×	PROPN
cana-1320	98	13	)	)	PUNCT
cana-1320	98	14	+	+	CCONJ
cana-1320	98	15	(	(	PUNCT
cana-1320	98	16	,	,	PUNCT
cana-1320	98	17	)	)	PUNCT
cana-1320	98	18	,	,	PUNCT
cana-1320	98	19	(	(	PUNCT
cana-1320	98	20	×	×	NOUN
cana-1320	98	21	)	)	PUNCT
cana-1320	98	22	+	+	CCONJ
cana-1320	98	23	(	(	PUNCT
cana-1320	98	24	,	,	PUNCT
cana-1320	98	25	)	)	PUNCT
cana-1320	98	26	}	}	PUNCT
cana-1320	98	27	=	=	SYM
cana-1320	98	28	rmin{rmin	rmin{rmin	NOUN
cana-1320	98	29	{	{	PUNCT
cana-1320	98	30	+	+	X
cana-1320	98	31	(	(	PUNCT
cana-1320	98	32	)	)	PUNCT
cana-1320	98	33	,	,	PUNCT
cana-1320	98	34	+	+	CCONJ
cana-1320	98	35	(	(	PUNCT
cana-1320	98	36	)	)	PUNCT
cana-1320	98	37	}	}	PUNCT
cana-1320	98	38	,	,	PUNCT
cana-1320	98	39	rmin	rmin	NOUN
cana-1320	98	40	{	{	PUNCT
cana-1320	98	41	+	+	X
cana-1320	98	42	(	(	PUNCT
cana-1320	98	43	)	)	PUNCT
cana-1320	98	44	,	,	PUNCT
cana-1320	98	45	+	+	CCONJ
cana-1320	98	46	(	(	PUNCT
cana-1320	98	47	)	)	PUNCT
cana-1320	98	48	}	}	PUNCT
cana-1320	98	49	}	}	PUNCT
cana-1320	98	50	=	=	SYM
cana-1320	98	51	rmin	rmin	NOUN
cana-1320	98	52	{	{	PUNCT
cana-1320	98	53	+	+	X
cana-1320	98	54	(	(	PUNCT
cana-1320	98	55	)	)	PUNCT
cana-1320	98	56	,	,	PUNCT
cana-1320	98	57	+	+	CCONJ
cana-1320	98	58	(	(	PUNCT
cana-1320	98	59	)	)	PUNCT
cana-1320	98	60	}	}	PUNCT
cana-1320	98	61	,	,	PUNCT
cana-1320	98	62			VERB
cana-1320	98	63	in	in	ADP
cana-1320	98	64	.	.	PUNCT
cana-1320	99	1	also	also	ADV
cana-1320	99	2			NOUN
cana-1320	99	3	(	(	PUNCT
cana-1320	99	4			PROPN
cana-1320	99	5	)	)	PUNCT
cana-1320	99	6	=	=	PUNCT
cana-1320	99	7	rmax	rmax	ADJ
cana-1320	99	8	{	{	PUNCT
cana-1320	99	9			PROPN
cana-1320	99	10	(	(	PUNCT
cana-1320	99	11			PROPN
cana-1320	99	12	)	)	PUNCT
cana-1320	99	13	,	,	PUNCT
cana-1320	99	14			NOUN
cana-1320	99	15	(	(	PUNCT
cana-1320	99	16			NOUN
cana-1320	99	17	)	)	PUNCT
cana-1320	99	18	}	}	PUNCT
cana-1320	99	19	=	=	SYM
cana-1320	99	20	(	(	PUNCT
cana-1320	99	21	×	×	NOUN
cana-1320	99	22	)	)	PUNCT
cana-1320	99	23			PROPN
cana-1320	99	24	(	(	PUNCT
cana-1320	99	25			NOUN
cana-1320	99	26	,	,	PUNCT
cana-1320	99	27			NOUN
cana-1320	99	28	)	)	PUNCT
cana-1320	99	29	=	=	PUNCT
cana-1320	99	30	(	(	PUNCT
cana-1320	99	31	×	×	NOUN
cana-1320	99	32	)	)	PUNCT
cana-1320	99	33			NOUN
cana-1320	99	34	[	[	X
cana-1320	99	35	(	(	PUNCT
cana-1320	99	36	,	,	PUNCT
cana-1320	99	37	)	)	PUNCT
cana-1320	99	38			NOUN
cana-1320	99	39	(	(	PUNCT
cana-1320	99	40	,	,	PUNCT
cana-1320	99	41	)	)	PUNCT
cana-1320	99	42	]	]	PUNCT
cana-1320	99	43			NUM
cana-1320	99	44	rmax	rmax	ADJ
cana-1320	99	45	{	{	PUNCT
cana-1320	99	46	(	(	PUNCT
cana-1320	99	47	×	×	NOUN
cana-1320	99	48	)	)	PUNCT
cana-1320	99	49			PROPN
cana-1320	99	50	(	(	PUNCT
cana-1320	99	51	,	,	PUNCT
cana-1320	99	52	)	)	PUNCT
cana-1320	99	53	,	,	PUNCT
cana-1320	99	54	(	(	PUNCT
cana-1320	99	55	×	×	NOUN
cana-1320	99	56	)	)	PUNCT
cana-1320	99	57			PROPN
cana-1320	99	58	(	(	PUNCT
cana-1320	99	59	,	,	PUNCT
cana-1320	99	60	)	)	PUNCT
cana-1320	99	61	}	}	PUNCT
cana-1320	99	62	=	=	SYM
cana-1320	99	63	rmax	rmax	ADJ
cana-1320	99	64	{	{	PUNCT
cana-1320	99	65	rmax	rmax	ADJ
cana-1320	99	66	{	{	PUNCT
cana-1320	99	67			NOUN
cana-1320	99	68	(	(	PUNCT
cana-1320	99	69	)	)	PUNCT
cana-1320	99	70	,	,	PUNCT
cana-1320	99	71			NOUN
cana-1320	99	72	(	(	PUNCT
cana-1320	99	73	)	)	PUNCT
cana-1320	99	74	}	}	PUNCT
cana-1320	99	75	,	,	PUNCT
cana-1320	99	76	rmax	rmax	ADJ
cana-1320	99	77	{	{	PUNCT
cana-1320	99	78			NOUN
cana-1320	99	79	(	(	PUNCT
cana-1320	99	80	)	)	PUNCT
cana-1320	99	81	,	,	PUNCT
cana-1320	99	82			NOUN
cana-1320	99	83	(	(	PUNCT
cana-1320	99	84	)	)	PUNCT
cana-1320	99	85	}	}	PUNCT
cana-1320	99	86	}	}	PUNCT
cana-1320	99	87	=	=	SYM
cana-1320	99	88	rmax	rmax	ADJ
cana-1320	99	89	{	{	PUNCT
cana-1320	99	90			PROPN
cana-1320	99	91	(	(	PUNCT
cana-1320	99	92	)	)	PUNCT
cana-1320	99	93	,	,	PUNCT
cana-1320	99	94			NOUN
cana-1320	99	95	(	(	PUNCT
cana-1320	99	96	)	)	PUNCT
cana-1320	99	97	}	}	PUNCT
cana-1320	99	98	,	,	PUNCT
cana-1320	99	99			VERB
cana-1320	99	100	in	in	ADP
cana-1320	99	101	.	.	PUNCT
cana-1320	100	1	and	and	CCONJ
cana-1320	100	2			PROPN
cana-1320	100	3	(	(	PUNCT
cana-1320	100	4	)	)	PUNCT
cana-1320	100	5	=	=	X
cana-1320	100	6	rmax	rmax	ADJ
cana-1320	100	7	{	{	PUNCT
cana-1320	100	8			NOUN
cana-1320	100	9	(	(	PUNCT
cana-1320	100	10	)	)	PUNCT
cana-1320	100	11	,	,	PUNCT
cana-1320	100	12			NOUN
cana-1320	100	13	(	(	PUNCT
cana-1320	100	14	)	)	PUNCT
cana-1320	100	15	}	}	PUNCT
cana-1320	100	16	=	=	SYM
cana-1320	100	17	(	(	PUNCT
cana-1320	100	18	×	×	NOUN
cana-1320	100	19	)	)	PUNCT
cana-1320	100	20			PROPN
cana-1320	100	21	(	(	PUNCT
cana-1320	100	22	,	,	PUNCT
cana-1320	100	23	)	)	PUNCT
cana-1320	100	24	=	=	SYM
cana-1320	100	25	(	(	PUNCT
cana-1320	100	26	×	×	NOUN
cana-1320	100	27	)	)	PUNCT
cana-1320	100	28			NOUN
cana-1320	100	29	[	[	X
cana-1320	100	30	(	(	PUNCT
cana-1320	100	31	,	,	PUNCT
cana-1320	100	32	)	)	PUNCT
cana-1320	100	33	(	(	PUNCT
cana-1320	100	34	)	)	PUNCT
cana-1320	100	35	)	)	PUNCT
cana-1320	100	36	]	]	PUNCT
cana-1320	101	1			NUM
cana-1320	101	2	rmax	rmax	ADJ
cana-1320	101	3	{	{	PUNCT
cana-1320	101	4	(	(	PUNCT
cana-1320	101	5	×	×	NOUN
cana-1320	101	6	)	)	PUNCT
cana-1320	101	7			PROPN
cana-1320	101	8	(	(	PUNCT
cana-1320	101	9	,	,	PUNCT
cana-1320	101	10	)	)	PUNCT
cana-1320	101	11	,	,	PUNCT
cana-1320	101	12	(	(	PUNCT
cana-1320	101	13	×	×	NOUN
cana-1320	101	14	)	)	PUNCT
cana-1320	101	15			PROPN
cana-1320	101	16	(	(	PUNCT
cana-1320	101	17	,	,	PUNCT
cana-1320	101	18	)	)	PUNCT
cana-1320	101	19	}	}	PUNCT
cana-1320	101	20	=	=	SYM
cana-1320	101	21	rmax{rmax	rmax{rmax	X
cana-1320	101	22	{	{	PUNCT
cana-1320	101	23			NOUN
cana-1320	101	24	(	(	PUNCT
cana-1320	101	25	)	)	PUNCT
cana-1320	101	26	,	,	PUNCT
cana-1320	101	27			NOUN
cana-1320	101	28	(	(	PUNCT
cana-1320	101	29	)	)	PUNCT
cana-1320	101	30	}	}	PUNCT
cana-1320	101	31	,	,	PUNCT
cana-1320	101	32	rmax	rmax	ADJ
cana-1320	101	33	{	{	PUNCT
cana-1320	101	34			NOUN
cana-1320	101	35	(	(	PUNCT
cana-1320	101	36	)	)	PUNCT
cana-1320	101	37	,	,	PUNCT
cana-1320	101	38			NOUN
cana-1320	101	39	(	(	PUNCT
cana-1320	101	40	)	)	PUNCT
cana-1320	101	41	}	}	PUNCT
cana-1320	101	42	}	}	PUNCT
cana-1320	101	43	=	=	SYM
cana-1320	101	44	rmax	rmax	ADJ
cana-1320	101	45	{	{	PUNCT
cana-1320	101	46			PROPN
cana-1320	101	47	(	(	PUNCT
cana-1320	101	48	)	)	PUNCT
cana-1320	101	49	,	,	PUNCT
cana-1320	101	50			NOUN
cana-1320	101	51	(	(	PUNCT
cana-1320	101	52	)	)	PUNCT
cana-1320	101	53	}	}	PUNCT
cana-1320	101	54	,	,	PUNCT
cana-1320	101	55			ADJ
cana-1320	101	56			NOUN
cana-1320	101	57	.	.	PUNCT
cana-1320	102	1	hence	hence	ADV
cana-1320	102	2	let	let	AUX
cana-1320	102	3	be	be	AUX
cana-1320	102	4	in	in	ADP
cana-1320	102	5	.	.	PUNCT
cana-1320	103	1	then	then	ADV
cana-1320	103	2	(	(	PUNCT
cana-1320	103	3	)	)	PUNCT
cana-1320	103	4	and	and	CCONJ
cana-1320	103	5	(	(	PUNCT
cana-1320	103	6	)	)	PUNCT
cana-1320	103	7	are	be	AUX
cana-1320	103	8	in	in	ADP
cana-1320	103	9	×	×	PROPN
cana-1320	103	10	.	.	PUNCT
cana-1320	104	1	then	then	ADV
cana-1320	104	2	(	(	PUNCT
cana-1320	104	3	ii	ii	NOUN
cana-1320	104	4	)	)	PUNCT
cana-1320	104	5	+	+	CCONJ
cana-1320	104	6	(	(	PUNCT
cana-1320	104	7			NOUN
cana-1320	104	8	)	)	PUNCT
cana-1320	104	9	=	=	SYM
cana-1320	104	10	rmin	rmin	NOUN
cana-1320	104	11	{	{	PUNCT
cana-1320	104	12	+	+	CCONJ
cana-1320	104	13	(	(	PUNCT
cana-1320	104	14			NOUN
cana-1320	104	15	)	)	PUNCT
cana-1320	104	16	,	,	PUNCT
cana-1320	104	17	+	+	CCONJ
cana-1320	104	18	(	(	PUNCT
cana-1320	104	19			NOUN
cana-1320	104	20	)	)	PUNCT
cana-1320	104	21	}	}	PUNCT
cana-1320	104	22	=	=	SYM
cana-1320	104	23	(	(	PUNCT
cana-1320	104	24	×	×	NOUN
cana-1320	104	25	)	)	PUNCT
cana-1320	104	26	+	+	CCONJ
cana-1320	104	27	(	(	PUNCT
cana-1320	104	28			NOUN
cana-1320	104	29			NOUN
cana-1320	104	30	)	)	PUNCT
cana-1320	104	31	=	=	PUNCT
cana-1320	104	32	(	(	PUNCT
cana-1320	104	33	×	×	NOUN
cana-1320	104	34	)	)	PUNCT
cana-1320	104	35	+	+	PUNCT
cana-1320	105	1	[	[	X
cana-1320	105	2	(	(	PUNCT
cana-1320	105	3	)	)	PUNCT
cana-1320	105	4			NOUN
cana-1320	105	5	(	(	PUNCT
cana-1320	105	6	)	)	PUNCT
cana-1320	105	7	]	]	PUNCT
cana-1320	105	8			NUM
cana-1320	105	9	rmin	rmin	NOUN
cana-1320	105	10	{	{	PUNCT
cana-1320	105	11	(	(	PUNCT
cana-1320	105	12	×	×	NOUN
cana-1320	105	13	)	)	PUNCT
cana-1320	105	14	+	+	CCONJ
cana-1320	105	15	(	(	PUNCT
cana-1320	105	16	)	)	PUNCT
cana-1320	105	17	,	,	PUNCT
cana-1320	105	18	(	(	PUNCT
cana-1320	105	19	×	×	NOUN
cana-1320	105	20	)	)	PUNCT
cana-1320	105	21	+	+	CCONJ
cana-1320	105	22	(	(	PUNCT
cana-1320	105	23	)	)	PUNCT
cana-1320	105	24	}	}	PUNCT
cana-1320	105	25	=	=	SYM
cana-1320	105	26	rmin{rmin	rmin{rmin	NOUN
cana-1320	105	27	{	{	PUNCT
cana-1320	105	28	+	+	X
cana-1320	105	29	(	(	PUNCT
cana-1320	105	30	)	)	PUNCT
cana-1320	105	31	,	,	PUNCT
cana-1320	105	32	+	+	CCONJ
cana-1320	105	33	(	(	PUNCT
cana-1320	105	34	)	)	PUNCT
cana-1320	105	35	}	}	PUNCT
cana-1320	105	36	,	,	PUNCT
cana-1320	105	37	rmin	rmin	NOUN
cana-1320	105	38	{	{	PUNCT
cana-1320	105	39	+	+	X
cana-1320	105	40	(	(	PUNCT
cana-1320	105	41	)	)	PUNCT
cana-1320	105	42	,	,	PUNCT
cana-1320	105	43	+	+	CCONJ
cana-1320	105	44	(	(	PUNCT
cana-1320	105	45	)	)	PUNCT
cana-1320	105	46	}	}	PUNCT
cana-1320	105	47	}	}	PUNCT
cana-1320	105	48	=	=	SYM
cana-1320	105	49	rmin	rmin	NOUN
cana-1320	105	50	{	{	PUNCT
cana-1320	105	51	+	+	X
cana-1320	105	52	(	(	PUNCT
cana-1320	105	53	)	)	PUNCT
cana-1320	105	54	,	,	PUNCT
cana-1320	105	55	+	+	CCONJ
cana-1320	105	56	(	(	PUNCT
cana-1320	105	57	)	)	PUNCT
cana-1320	105	58	}	}	PUNCT
cana-1320	105	59	,	,	PUNCT
cana-1320	105	60			ADJ
cana-1320	105	61			NOUN
cana-1320	105	62	.	.	PUNCT
cana-1320	106	1	and	and	CCONJ
cana-1320	106	2	+	+	CCONJ
cana-1320	106	3	(	(	PUNCT
cana-1320	106	4	)	)	PUNCT
cana-1320	106	5	=	=	SYM
cana-1320	106	6	rmin	rmin	NOUN
cana-1320	106	7	{	{	PUNCT
cana-1320	106	8	+	+	X
cana-1320	106	9	(	(	PUNCT
cana-1320	106	10	)	)	PUNCT
cana-1320	106	11	,	,	PUNCT
cana-1320	106	12	+	+	CCONJ
cana-1320	106	13	(	(	PUNCT
cana-1320	106	14	)	)	PUNCT
cana-1320	106	15	}	}	PUNCT
cana-1320	106	16	=	=	SYM
cana-1320	106	17	(	(	PUNCT
cana-1320	106	18	×	×	NOUN
cana-1320	106	19	)	)	PUNCT
cana-1320	106	20	+	+	CCONJ
cana-1320	106	21	(	(	PUNCT
cana-1320	106	22	)	)	PUNCT
cana-1320	106	23	=	=	SYM
cana-1320	106	24	(	(	PUNCT
cana-1320	106	25	×	×	NOUN
cana-1320	106	26	)	)	PUNCT
cana-1320	106	27	+	+	PUNCT
cana-1320	107	1	[	[	X
cana-1320	107	2	(	(	PUNCT
cana-1320	107	3	)	)	PUNCT
cana-1320	107	4	(	(	PUNCT
cana-1320	107	5	)	)	PUNCT
cana-1320	107	6	]	]	PUNCT
cana-1320	107	7			NUM
cana-1320	107	8	rmin	rmin	VERB
cana-1320	107	9	{	{	PUNCT
cana-1320	107	10	(	(	PUNCT
cana-1320	107	11	×	×	NOUN
cana-1320	107	12	)	)	PUNCT
cana-1320	107	13	+	+	CCONJ
cana-1320	107	14	(	(	PUNCT
cana-1320	107	15	)	)	PUNCT
cana-1320	107	16	,	,	PUNCT
cana-1320	107	17	(	(	PUNCT
cana-1320	107	18	×	×	NOUN
cana-1320	107	19	)	)	PUNCT
cana-1320	107	20	+	+	CCONJ
cana-1320	107	21	(	(	PUNCT
cana-1320	107	22	)	)	PUNCT
cana-1320	107	23	}	}	PUNCT
cana-1320	107	24	=	=	SYM
cana-1320	107	25	rmin{rmin	rmin{rmin	NOUN
cana-1320	107	26	{	{	PUNCT
cana-1320	107	27	+	+	X
cana-1320	107	28	(	(	PUNCT
cana-1320	107	29	)	)	PUNCT
cana-1320	107	30	,	,	PUNCT
cana-1320	107	31	+	+	CCONJ
cana-1320	107	32	(	(	PUNCT
cana-1320	107	33	)	)	PUNCT
cana-1320	107	34	}	}	PUNCT
cana-1320	107	35	,	,	PUNCT
cana-1320	107	36	rmin	rmin	NOUN
cana-1320	107	37	{	{	PUNCT
cana-1320	107	38	+	+	X
cana-1320	107	39	(	(	PUNCT
cana-1320	107	40	)	)	PUNCT
cana-1320	107	41	,	,	PUNCT
cana-1320	107	42	+	+	CCONJ
cana-1320	107	43	(	(	PUNCT
cana-1320	107	44	)	)	PUNCT
cana-1320	107	45	}	}	PUNCT
cana-1320	107	46	}	}	PUNCT
cana-1320	107	47	=	=	SYM
cana-1320	107	48	rmin	rmin	NOUN
cana-1320	107	49	{	{	PUNCT
cana-1320	107	50	+	+	X
cana-1320	107	51	(	(	PUNCT
cana-1320	107	52	)	)	PUNCT
cana-1320	107	53	,	,	PUNCT
cana-1320	107	54	+	+	CCONJ
cana-1320	107	55	(	(	PUNCT
cana-1320	107	56	)	)	PUNCT
cana-1320	107	57	}	}	PUNCT
cana-1320	107	58	,	,	PUNCT
cana-1320	107	59			VERB
cana-1320	107	60			NOUN
cana-1320	107	61	.	.	PUNCT
cana-1320	108	1	also	also	ADV
cana-1320	108	2			NOUN
cana-1320	108	3	(	(	PUNCT
cana-1320	108	4			PROPN
cana-1320	108	5	)	)	PUNCT
cana-1320	108	6	=	=	PUNCT
cana-1320	108	7	rmax	rmax	ADJ
cana-1320	108	8	{	{	PUNCT
cana-1320	108	9			PROPN
cana-1320	108	10	(	(	PUNCT
cana-1320	108	11			PROPN
cana-1320	108	12	)	)	PUNCT
cana-1320	108	13	,	,	PUNCT
cana-1320	108	14			NOUN
cana-1320	108	15	(	(	PUNCT
cana-1320	108	16			NOUN
cana-1320	108	17	)	)	PUNCT
cana-1320	108	18	}	}	PUNCT
cana-1320	108	19	=	=	SYM
cana-1320	108	20	(	(	PUNCT
cana-1320	108	21	×	×	NOUN
cana-1320	108	22	)	)	PUNCT
cana-1320	108	23			PROPN
cana-1320	108	24	(	(	PUNCT
cana-1320	108	25			PROPN
cana-1320	108	26			NOUN
cana-1320	108	27	)	)	PUNCT
cana-1320	108	28	=	=	PUNCT
cana-1320	108	29	(	(	PUNCT
cana-1320	108	30	×	×	NOUN
cana-1320	108	31	)	)	PUNCT
cana-1320	108	32			NOUN
cana-1320	108	33	[	[	X
cana-1320	108	34	(	(	PUNCT
cana-1320	108	35	)	)	PUNCT
cana-1320	108	36			NOUN
cana-1320	108	37	(	(	PUNCT
cana-1320	108	38	)	)	PUNCT
cana-1320	108	39	]	]	PUNCT
cana-1320	108	40			NUM
cana-1320	108	41	rmax	rmax	ADJ
cana-1320	108	42	{	{	PUNCT
cana-1320	108	43	(	(	PUNCT
cana-1320	108	44	×	×	NOUN
cana-1320	108	45	)	)	PUNCT
cana-1320	108	46			PROPN
cana-1320	108	47	(	(	PUNCT
cana-1320	108	48	)	)	PUNCT
cana-1320	108	49	,	,	PUNCT
cana-1320	108	50	(	(	PUNCT
cana-1320	108	51	×	×	NOUN
cana-1320	108	52	)	)	PUNCT
cana-1320	108	53			NOUN
cana-1320	108	54	(	(	PUNCT
cana-1320	108	55	)	)	PUNCT
cana-1320	108	56	}	}	PUNCT
cana-1320	108	57	=	=	SYM
cana-1320	108	58	rmax{rmax	rmax{rmax	X
cana-1320	108	59	{	{	PUNCT
cana-1320	108	60			NOUN
cana-1320	108	61	(	(	PUNCT
cana-1320	108	62	)	)	PUNCT
cana-1320	108	63	,	,	PUNCT
cana-1320	108	64			NOUN
cana-1320	108	65	(	(	PUNCT
cana-1320	108	66	)	)	PUNCT
cana-1320	108	67	}	}	PUNCT
cana-1320	108	68	,	,	PUNCT
cana-1320	108	69	rmax	rmax	ADJ
cana-1320	108	70	{	{	PUNCT
cana-1320	108	71			NOUN
cana-1320	108	72	(	(	PUNCT
cana-1320	108	73	)	)	PUNCT
cana-1320	108	74	,	,	PUNCT
cana-1320	108	75			NOUN
cana-1320	108	76	(	(	PUNCT
cana-1320	108	77	)	)	PUNCT
cana-1320	108	78	}	}	PUNCT
cana-1320	108	79	}	}	PUNCT
cana-1320	108	80	=	=	SYM
cana-1320	108	81	rmax	rmax	ADJ
cana-1320	108	82	{	{	PUNCT
cana-1320	108	83			PROPN
cana-1320	108	84	(	(	PUNCT
cana-1320	108	85	)	)	PUNCT
cana-1320	108	86	,	,	PUNCT
cana-1320	108	87			NOUN
cana-1320	108	88	(	(	PUNCT
cana-1320	108	89	)	)	PUNCT
cana-1320	108	90	}	}	PUNCT
cana-1320	108	91	,	,	PUNCT
cana-1320	108	92			ADJ
cana-1320	108	93			NOUN
cana-1320	108	94	.	.	PUNCT
cana-1320	109	1	and	and	CCONJ
cana-1320	109	2			PROPN
cana-1320	109	3	(	(	PUNCT
cana-1320	109	4	)	)	PUNCT
cana-1320	109	5	=	=	SYM
cana-1320	109	6	rmax	rmax	ADJ
cana-1320	109	7	{	{	PUNCT
cana-1320	109	8			NOUN
cana-1320	109	9	(	(	PUNCT
cana-1320	109	10	)	)	PUNCT
cana-1320	109	11	,	,	PUNCT
cana-1320	109	12			NOUN
cana-1320	109	13	(	(	PUNCT
cana-1320	109	14	)	)	PUNCT
cana-1320	109	15	}	}	PUNCT
cana-1320	109	16	=	=	SYM
cana-1320	109	17	(	(	PUNCT
cana-1320	109	18	×	×	NOUN
cana-1320	109	19	)	)	PUNCT
cana-1320	109	20			NOUN
cana-1320	109	21	(	(	PUNCT
cana-1320	109	22	)	)	PUNCT
cana-1320	109	23	=	=	SYM
cana-1320	109	24	(	(	PUNCT
cana-1320	109	25	×	×	NOUN
cana-1320	109	26	)	)	PUNCT
cana-1320	109	27			NOUN
cana-1320	110	1	[	[	X
cana-1320	110	2	(	(	PUNCT
cana-1320	110	3	)	)	PUNCT
cana-1320	110	4	(	(	PUNCT
cana-1320	110	5	)	)	PUNCT
cana-1320	110	6	]	]	PUNCT
cana-1320	111	1			NUM
cana-1320	111	2	rmax	rmax	ADJ
cana-1320	111	3	{	{	PUNCT
cana-1320	111	4	(	(	PUNCT
cana-1320	111	5	×	×	NOUN
cana-1320	111	6	)	)	PUNCT
cana-1320	111	7			PROPN
cana-1320	111	8	(	(	PUNCT
cana-1320	111	9	)	)	PUNCT
cana-1320	111	10	,	,	PUNCT
cana-1320	111	11	(	(	PUNCT
cana-1320	111	12	×	×	NOUN
cana-1320	111	13	)	)	PUNCT
cana-1320	111	14			NOUN
cana-1320	111	15	(	(	PUNCT
cana-1320	111	16	)	)	PUNCT
cana-1320	111	17	}	}	PUNCT
cana-1320	111	18	=	=	X
cana-1320	111	19	rmax{rmax	rmax{rmax	X
cana-1320	111	20	{	{	PUNCT
cana-1320	111	21			NOUN
cana-1320	111	22	(	(	PUNCT
cana-1320	111	23	)	)	PUNCT
cana-1320	111	24	,	,	PUNCT
cana-1320	111	25			NOUN
cana-1320	111	26	(	(	PUNCT
cana-1320	111	27	)	)	PUNCT
cana-1320	111	28	}	}	PUNCT
cana-1320	111	29	,	,	PUNCT
cana-1320	111	30	rmax	rmax	ADJ
cana-1320	111	31	{	{	PUNCT
cana-1320	111	32			NOUN
cana-1320	111	33	(	(	PUNCT
cana-1320	111	34	)	)	PUNCT
cana-1320	111	35	,	,	PUNCT
cana-1320	111	36			NOUN
cana-1320	111	37	(	(	PUNCT
cana-1320	111	38	)	)	PUNCT
cana-1320	111	39	}	}	PUNCT
cana-1320	111	40	}	}	PUNCT
cana-1320	111	41	=	=	SYM
cana-1320	111	42	rmax	rmax	ADJ
cana-1320	111	43	{	{	PUNCT
cana-1320	111	44			PROPN
cana-1320	111	45	(	(	PUNCT
cana-1320	111	46	)	)	PUNCT
cana-1320	111	47	,	,	PUNCT
cana-1320	111	48			NOUN
cana-1320	111	49	(	(	PUNCT
cana-1320	111	50	)	)	PUNCT
cana-1320	111	51	}	}	PUNCT
cana-1320	111	52	,	,	PUNCT
cana-1320	111	53			ADJ
cana-1320	111	54			NOUN
cana-1320	111	55	.	.	PUNCT
cana-1320	112	1	hence	hence	ADV
cana-1320	112	2	theorem	theorem	VERB
cana-1320	112	3	2.11	2.11	NUM
cana-1320	112	4	.	.	PUNCT
cana-1320	113	1			X
cana-1320	113	2	,	,	PUNCT
cana-1320	113	3			PROPN
cana-1320	113	4	,	,	PUNCT
cana-1320	113	5			PRON
cana-1320	113	6	,	,	PUNCT
cana-1320	113	7			PROPN
cana-1320	113	8	,	,	PUNCT
cana-1320	113	9	…	…	PUNCT
cana-1320	113	10	.	.	NUM
cana-1320	113	11	,	,	PUNCT
cana-1320	113	12			X
cana-1320	113	13	,	,	PUNCT
cana-1320	113	14			PROPN
cana-1320	113	15	be	be	AUX
cana-1320	113	16	is	be	AUX
cana-1320	113	17	a	a	PRON
cana-1320	113	18	of	of	ADP
cana-1320	113	19	the	the	DET
cana-1320	113	20	field	field	NOUN
cana-1320	113	21	for	for	ADP
cana-1320	113	22	each	each	PRON
cana-1320	113	23	(	(	PUNCT
cana-1320	113	24	)	)	PUNCT
cana-1320	113	25	(	(	PUNCT
cana-1320	113	26	)	)	PUNCT
cana-1320	113	27	(	(	PUNCT
cana-1320	113	28	)	)	PUNCT
cana-1320	113	29	(	(	PUNCT
cana-1320	113	30	)	)	PUNCT
cana-1320	113	31	communications	communication	NOUN
cana-1320	113	32	on	on	ADP
cana-1320	113	33	applied	apply	VERB
cana-1320	113	34	nonlinear	nonlinear	ADJ
cana-1320	113	35	analysis	analysis	NOUN
cana-1320	113	36	issn	issn	NOUN
cana-1320	113	37	:	:	PUNCT
cana-1320	113	38	1074	1074	NUM
cana-1320	113	39	-	-	PUNCT
cana-1320	113	40	133x	133x	NUM
cana-1320	113	41	vol	vol	NOUN
cana-1320	113	42	31	31	NUM
cana-1320	113	43	no	no	NOUN
cana-1320	113	44	.	.	PUNCT
cana-1320	114	1	7s	7	NOUN
cana-1320	114	2	(	(	PUNCT
cana-1320	114	3	2024	2024	NUM
cana-1320	114	4	)	)	PUNCT
cana-1320	114	5	419	419	NUM
cana-1320	114	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	114	7	(	(	PUNCT
cana-1320	114	8	)	)	PUNCT
cana-1320	114	9	(	(	PUNCT
cana-1320	114	10	)	)	PUNCT
cana-1320	114	11	(	(	PUNCT
cana-1320	114	12	)	)	PUNCT
cana-1320	114	13	(	(	PUNCT
cana-1320	114	14	)	)	PUNCT
cana-1320	114	15	where	where	SCONJ
cana-1320	114	16	are	be	AUX
cana-1320	114	17	.	.	PUNCT
cana-1320	115	1	proof	proof	NOUN
cana-1320	115	2	.	.	PUNCT
cana-1320	116	1	by	by	ADP
cana-1320	116	2	theorem	theorem	NOUN
cana-1320	116	3	2.10	2.10	NUM
cana-1320	116	4	,	,	PUNCT
cana-1320	116	5	it	it	PRON
cana-1320	116	6	can	can	AUX
cana-1320	116	7	be	be	AUX
cana-1320	116	8	easily	easily	ADV
cana-1320	116	9	shown	show	VERB
cana-1320	116	10	.	.	PUNCT
cana-1320	117	1	theorem	theorem	VERB
cana-1320	117	2	2.12	2.12	NUM
cana-1320	117	3	.	.	PUNCT
cana-1320	118	1	and	and	CCONJ
cana-1320	118	2	be	be	AUX
cana-1320	118	3	the	the	DET
cana-1320	118	4	stronget	stronget	NOUN
cana-1320	118	5	relation	relation	NOUN
cana-1320	118	6	of	of	ADP
cana-1320	118	7	.	.	PUNCT
cana-1320	119	1	then	then	ADV
cana-1320	119	2	is	be	AUX
cana-1320	119	3	a	a	PRON
cana-1320	119	4	of	of	ADP
cana-1320	119	5	if	if	SCONJ
cana-1320	119	6	and	and	CCONJ
cana-1320	119	7	only	only	ADV
cana-1320	119	8	if	if	SCONJ
cana-1320	119	9	is	be	AUX
cana-1320	119	10	a	a	PRON
cana-1320	119	11	of	of	ADP
cana-1320	119	12	×	×	NOUN
cana-1320	119	13	proof	proof	NOUN
cana-1320	119	14	.	.	PUNCT
cana-1320	120	1	let	let	AUX
cana-1320	120	2	be	be	AUX
cana-1320	120	3	in	in	ADV
cana-1320	120	4	and	and	CCONJ
cana-1320	120	5	be	be	AUX
cana-1320	120	6	in	in	ADP
cana-1320	120	7	.	.	PUNCT
cana-1320	121	1	then	then	ADV
cana-1320	121	2	(	(	PUNCT
cana-1320	121	3	,	,	PUNCT
cana-1320	121	4	)	)	PUNCT
cana-1320	121	5	and	and	CCONJ
cana-1320	121	6	(	(	PUNCT
cana-1320	121	7	,	,	PUNCT
cana-1320	121	8	)	)	PUNCT
cana-1320	121	9	are	be	AUX
cana-1320	121	10	in	in	ADP
cana-1320	121	11	×	×	PROPN
cana-1320	121	12	.	.	PUNCT
cana-1320	122	1	if	if	SCONJ
cana-1320	122	2	is	be	AUX
cana-1320	122	3	a	a	PRON
cana-1320	122	4	of	of	ADP
cana-1320	122	5	then	then	ADV
cana-1320	122	6	[	[	X
cana-1320	122	7	(	(	PUNCT
cana-1320	122	8	,	,	PUNCT
cana-1320	122	9	)	)	PUNCT
cana-1320	122	10			NOUN
cana-1320	122	11	(	(	PUNCT
cana-1320	122	12	,	,	PUNCT
cana-1320	122	13	)	)	PUNCT
cana-1320	122	14	]	]	PUNCT
cana-1320	123	1	=	=	PUNCT
cana-1320	123	2	(	(	PUNCT
cana-1320	123	3			NOUN
cana-1320	123	4	,	,	PUNCT
cana-1320	123	5			NOUN
cana-1320	123	6	)	)	PUNCT
cana-1320	123	7	=	=	SYM
cana-1320	123	8	rmin	rmin	NOUN
cana-1320	123	9	{	{	PUNCT
cana-1320	123	10	+	+	CCONJ
cana-1320	123	11	(	(	PUNCT
cana-1320	123	12			NOUN
cana-1320	123	13	)	)	PUNCT
cana-1320	123	14	,	,	PUNCT
cana-1320	123	15	+	+	CCONJ
cana-1320	123	16	(	(	PUNCT
cana-1320	123	17			NOUN
cana-1320	123	18	)	)	PUNCT
cana-1320	123	19	}	}	PUNCT
cana-1320	123	20			X
cana-1320	123	21	rmin{rmin	rmin{rmin	NOUN
cana-1320	123	22	{	{	PUNCT
cana-1320	123	23	+	+	X
cana-1320	123	24	(	(	PUNCT
cana-1320	123	25	)	)	PUNCT
cana-1320	123	26	,	,	PUNCT
cana-1320	123	27	+	+	CCONJ
cana-1320	123	28	(	(	PUNCT
cana-1320	123	29	)	)	PUNCT
cana-1320	123	30	}	}	PUNCT
cana-1320	123	31	,	,	PUNCT
cana-1320	123	32	rmin	rmin	NOUN
cana-1320	123	33	{	{	PUNCT
cana-1320	123	34	+	+	X
cana-1320	123	35	(	(	PUNCT
cana-1320	123	36	)	)	PUNCT
cana-1320	123	37	,	,	PUNCT
cana-1320	123	38	+	+	CCONJ
cana-1320	123	39	(	(	PUNCT
cana-1320	123	40	)	)	PUNCT
cana-1320	123	41	}	}	PUNCT
cana-1320	123	42	}	}	PUNCT
cana-1320	123	43	=	=	SYM
cana-1320	123	44	rmin{rmin	rmin{rmin	NOUN
cana-1320	123	45	{	{	PUNCT
cana-1320	123	46	+	+	X
cana-1320	123	47	(	(	PUNCT
cana-1320	123	48	)	)	PUNCT
cana-1320	123	49	,	,	PUNCT
cana-1320	123	50	+	+	CCONJ
cana-1320	123	51	(	(	PUNCT
cana-1320	123	52	)	)	PUNCT
cana-1320	123	53	}	}	PUNCT
cana-1320	123	54	,	,	PUNCT
cana-1320	123	55	rmin	rmin	NOUN
cana-1320	123	56	{	{	PUNCT
cana-1320	123	57	+	+	X
cana-1320	123	58	(	(	PUNCT
cana-1320	123	59	)	)	PUNCT
cana-1320	123	60	,	,	PUNCT
cana-1320	123	61	+	+	CCONJ
cana-1320	123	62	(	(	PUNCT
cana-1320	123	63	)	)	PUNCT
cana-1320	123	64	}	}	PUNCT
cana-1320	123	65	}	}	PUNCT
cana-1320	123	66	=	=	SYM
cana-1320	123	67	rmin	rmin	NOUN
cana-1320	123	68	{	{	PUNCT
cana-1320	123	69	(	(	PUNCT
cana-1320	123	70	,	,	PUNCT
cana-1320	123	71	)	)	PUNCT
cana-1320	123	72	,	,	PUNCT
cana-1320	123	73	(	(	PUNCT
cana-1320	123	74	,	,	PUNCT
cana-1320	123	75	)	)	PUNCT
cana-1320	123	76	}	}	PUNCT
cana-1320	123	77	,	,	PUNCT
cana-1320	123	78			NOUN
cana-1320	123	79	(	(	PUNCT
cana-1320	123	80	,	,	PUNCT
cana-1320	123	81	)	)	PUNCT
cana-1320	123	82	,	,	PUNCT
cana-1320	123	83	(	(	PUNCT
cana-1320	123	84	,	,	PUNCT
cana-1320	123	85	)	)	PUNCT
cana-1320	123	86			NOUN
cana-1320	123	87	×	×	NOUN
cana-1320	123	88	.	.	PUNCT
cana-1320	124	1	and	and	CCONJ
cana-1320	125	1	[	[	X
cana-1320	125	2	(	(	PUNCT
cana-1320	125	3	,	,	PUNCT
cana-1320	125	4	)	)	PUNCT
cana-1320	125	5	(	(	PUNCT
cana-1320	125	6	)	)	PUNCT
cana-1320	125	7	)	)	PUNCT
cana-1320	125	8	]	]	PUNCT
cana-1320	126	1	=	=	PUNCT
cana-1320	126	2	(	(	PUNCT
cana-1320	126	3	,	,	PUNCT
cana-1320	126	4	)	)	PUNCT
cana-1320	126	5	=	=	SYM
cana-1320	126	6	rmin	rmin	NOUN
cana-1320	126	7	{	{	PUNCT
cana-1320	126	8	+	+	X
cana-1320	126	9	(	(	PUNCT
cana-1320	126	10	)	)	PUNCT
cana-1320	126	11	,	,	PUNCT
cana-1320	126	12	+	+	CCONJ
cana-1320	126	13	(	(	PUNCT
cana-1320	126	14	)	)	PUNCT
cana-1320	126	15	}	}	PUNCT
cana-1320	126	16			X
cana-1320	126	17	rmin{rmin	rmin{rmin	NOUN
cana-1320	126	18	{	{	PUNCT
cana-1320	126	19	+	+	X
cana-1320	126	20	(	(	PUNCT
cana-1320	126	21	)	)	PUNCT
cana-1320	126	22	,	,	PUNCT
cana-1320	126	23	+	+	CCONJ
cana-1320	126	24	(	(	PUNCT
cana-1320	126	25	)	)	PUNCT
cana-1320	126	26	}	}	PUNCT
cana-1320	126	27	,	,	PUNCT
cana-1320	126	28	rmin	rmin	NOUN
cana-1320	126	29	{	{	PUNCT
cana-1320	126	30	+	+	X
cana-1320	126	31	(	(	PUNCT
cana-1320	126	32	)	)	PUNCT
cana-1320	126	33	,	,	PUNCT
cana-1320	126	34	+	+	CCONJ
cana-1320	126	35	(	(	PUNCT
cana-1320	126	36	)	)	PUNCT
cana-1320	126	37	}	}	PUNCT
cana-1320	126	38	}	}	PUNCT
cana-1320	126	39	=	=	SYM
cana-1320	126	40	rmin{rmin	rmin{rmin	NOUN
cana-1320	126	41	{	{	PUNCT
cana-1320	126	42	+	+	X
cana-1320	126	43	(	(	PUNCT
cana-1320	126	44	)	)	PUNCT
cana-1320	126	45	,	,	PUNCT
cana-1320	126	46	+	+	CCONJ
cana-1320	126	47	(	(	PUNCT
cana-1320	126	48	)	)	PUNCT
cana-1320	126	49	}	}	PUNCT
cana-1320	126	50	,	,	PUNCT
cana-1320	126	51	rmin	rmin	NOUN
cana-1320	126	52	{	{	PUNCT
cana-1320	126	53	+	+	X
cana-1320	126	54	(	(	PUNCT
cana-1320	126	55	)	)	PUNCT
cana-1320	126	56	,	,	PUNCT
cana-1320	126	57	+	+	CCONJ
cana-1320	126	58	(	(	PUNCT
cana-1320	126	59	)	)	PUNCT
cana-1320	126	60	}	}	PUNCT
cana-1320	126	61	}	}	PUNCT
cana-1320	126	62	=	=	SYM
cana-1320	126	63	rmin	rmin	NOUN
cana-1320	126	64	{	{	PUNCT
cana-1320	126	65	(	(	PUNCT
cana-1320	126	66	,	,	PUNCT
cana-1320	126	67	)	)	PUNCT
cana-1320	126	68	,	,	PUNCT
cana-1320	126	69	(	(	PUNCT
cana-1320	126	70	,	,	PUNCT
cana-1320	126	71	)	)	PUNCT
cana-1320	126	72	}	}	PUNCT
cana-1320	126	73	,	,	PUNCT
cana-1320	126	74			NOUN
cana-1320	126	75	(	(	PUNCT
cana-1320	126	76	,	,	PUNCT
cana-1320	126	77	)	)	PUNCT
cana-1320	126	78	,	,	PUNCT
cana-1320	126	79	(	(	PUNCT
cana-1320	126	80	,	,	PUNCT
cana-1320	126	81	)	)	PUNCT
cana-1320	126	82			NOUN
cana-1320	126	83	×	×	NOUN
cana-1320	126	84	.	.	PUNCT
cana-1320	127	1	also	also	ADV
cana-1320	127	2	[	[	X
cana-1320	127	3	(	(	PUNCT
cana-1320	127	4	,	,	PUNCT
cana-1320	127	5	)	)	PUNCT
cana-1320	127	6			NOUN
cana-1320	127	7	(	(	PUNCT
cana-1320	127	8	,	,	PUNCT
cana-1320	127	9	)	)	PUNCT
cana-1320	127	10	]	]	PUNCT
cana-1320	128	1	=	=	PUNCT
cana-1320	128	2	(	(	PUNCT
cana-1320	128	3			NOUN
cana-1320	128	4	,	,	PUNCT
cana-1320	128	5			NOUN
cana-1320	128	6	)	)	PUNCT
cana-1320	128	7	=	=	SYM
cana-1320	128	8	rmax	rmax	ADJ
cana-1320	128	9	{	{	PUNCT
cana-1320	128	10			X
cana-1320	128	11	(	(	PUNCT
cana-1320	128	12			PROPN
cana-1320	128	13	)	)	PUNCT
cana-1320	128	14	,	,	PUNCT
cana-1320	128	15			NOUN
cana-1320	128	16	(	(	PUNCT
cana-1320	128	17			NOUN
cana-1320	128	18	)	)	PUNCT
cana-1320	128	19	}	}	PUNCT
cana-1320	128	20			NUM
cana-1320	128	21	rmax{rmax	rmax{rmax	NOUN
cana-1320	128	22	{	{	PUNCT
cana-1320	128	23			NOUN
cana-1320	128	24	(	(	PUNCT
cana-1320	128	25	)	)	PUNCT
cana-1320	128	26	,	,	PUNCT
cana-1320	128	27			NOUN
cana-1320	128	28	(	(	PUNCT
cana-1320	128	29	)	)	PUNCT
cana-1320	128	30	}	}	PUNCT
cana-1320	128	31	,	,	PUNCT
cana-1320	128	32	rmax	rmax	ADJ
cana-1320	128	33	{	{	PUNCT
cana-1320	128	34			NOUN
cana-1320	128	35	(	(	PUNCT
cana-1320	128	36	)	)	PUNCT
cana-1320	128	37	,	,	PUNCT
cana-1320	128	38			NOUN
cana-1320	128	39	(	(	PUNCT
cana-1320	128	40	)	)	PUNCT
cana-1320	128	41	}	}	PUNCT
cana-1320	128	42	}	}	PUNCT
cana-1320	128	43	=	=	SYM
cana-1320	128	44	rmax{rmax	rmax{rmax	X
cana-1320	128	45	{	{	PUNCT
cana-1320	128	46			NOUN
cana-1320	128	47	(	(	PUNCT
cana-1320	128	48	)	)	PUNCT
cana-1320	128	49	,	,	PUNCT
cana-1320	128	50			NOUN
cana-1320	128	51	(	(	PUNCT
cana-1320	128	52	)	)	PUNCT
cana-1320	128	53	}	}	PUNCT
cana-1320	128	54	,	,	PUNCT
cana-1320	128	55	rmax	rmax	ADJ
cana-1320	128	56	{	{	PUNCT
cana-1320	128	57			NOUN
cana-1320	128	58	(	(	PUNCT
cana-1320	128	59	)	)	PUNCT
cana-1320	128	60	,	,	PUNCT
cana-1320	128	61			NOUN
cana-1320	128	62	(	(	PUNCT
cana-1320	128	63	)	)	PUNCT
cana-1320	128	64	}	}	PUNCT
cana-1320	128	65	}	}	PUNCT
cana-1320	128	66	=	=	SYM
cana-1320	128	67	rmax	rmax	ADJ
cana-1320	128	68	{	{	PUNCT
cana-1320	128	69	(	(	PUNCT
cana-1320	128	70	,	,	PUNCT
cana-1320	128	71	)	)	PUNCT
cana-1320	128	72	,	,	PUNCT
cana-1320	128	73	(	(	PUNCT
cana-1320	128	74	,	,	PUNCT
cana-1320	128	75	)	)	PUNCT
cana-1320	128	76	}	}	PUNCT
cana-1320	128	77	,	,	PUNCT
cana-1320	128	78			NOUN
cana-1320	128	79	(	(	PUNCT
cana-1320	128	80	,	,	PUNCT
cana-1320	128	81	)	)	PUNCT
cana-1320	128	82	,	,	PUNCT
cana-1320	128	83	(	(	PUNCT
cana-1320	128	84	,	,	PUNCT
cana-1320	128	85	)	)	PUNCT
cana-1320	128	86			NOUN
cana-1320	128	87	×	×	NOUN
cana-1320	128	88	.	.	PUNCT
cana-1320	128	89	and	and	CCONJ
cana-1320	128	90	[	[	X
cana-1320	128	91	(	(	PUNCT
cana-1320	128	92	,	,	PUNCT
cana-1320	128	93	)	)	PUNCT
cana-1320	128	94	(	(	PUNCT
cana-1320	128	95	)	)	PUNCT
cana-1320	128	96	)	)	PUNCT
cana-1320	128	97	]	]	PUNCT
cana-1320	129	1	=	=	PUNCT
cana-1320	129	2	(	(	PUNCT
cana-1320	129	3	,	,	PUNCT
cana-1320	129	4	)	)	PUNCT
cana-1320	129	5	=	=	SYM
cana-1320	129	6	rmax	rmax	ADJ
cana-1320	129	7	{	{	PUNCT
cana-1320	129	8			NOUN
cana-1320	129	9	(	(	PUNCT
cana-1320	129	10	)	)	PUNCT
cana-1320	129	11	,	,	PUNCT
cana-1320	129	12			NOUN
cana-1320	129	13	(	(	PUNCT
cana-1320	129	14	)	)	PUNCT
cana-1320	129	15	}	}	PUNCT
cana-1320	129	16			NUM
cana-1320	129	17	rmax{rmax	rmax{rmax	NOUN
cana-1320	129	18	{	{	PUNCT
cana-1320	129	19			NOUN
cana-1320	129	20	(	(	PUNCT
cana-1320	129	21	)	)	PUNCT
cana-1320	129	22	,	,	PUNCT
cana-1320	129	23			NOUN
cana-1320	129	24	(	(	PUNCT
cana-1320	129	25	)	)	PUNCT
cana-1320	129	26	}	}	PUNCT
cana-1320	129	27	,	,	PUNCT
cana-1320	129	28	rmax	rmax	ADJ
cana-1320	129	29	{	{	PUNCT
cana-1320	129	30			NOUN
cana-1320	129	31	(	(	PUNCT
cana-1320	129	32	)	)	PUNCT
cana-1320	129	33	,	,	PUNCT
cana-1320	129	34			NOUN
cana-1320	129	35	(	(	PUNCT
cana-1320	129	36	)	)	PUNCT
cana-1320	129	37	}	}	PUNCT
cana-1320	129	38	}	}	PUNCT
cana-1320	129	39	=	=	SYM
cana-1320	129	40	rmax{rmax	rmax{rmax	X
cana-1320	129	41	{	{	PUNCT
cana-1320	129	42			NOUN
cana-1320	129	43	(	(	PUNCT
cana-1320	129	44	)	)	PUNCT
cana-1320	129	45	,	,	PUNCT
cana-1320	129	46			NOUN
cana-1320	129	47	(	(	PUNCT
cana-1320	129	48	)	)	PUNCT
cana-1320	129	49	}	}	PUNCT
cana-1320	129	50	,	,	PUNCT
cana-1320	129	51	rmax	rmax	ADJ
cana-1320	129	52	{	{	PUNCT
cana-1320	129	53			NOUN
cana-1320	129	54	(	(	PUNCT
cana-1320	129	55	)	)	PUNCT
cana-1320	129	56	,	,	PUNCT
cana-1320	129	57			NOUN
cana-1320	129	58	(	(	PUNCT
cana-1320	129	59	)	)	PUNCT
cana-1320	129	60	}	}	PUNCT
cana-1320	129	61	}	}	PUNCT
cana-1320	129	62	=	=	SYM
cana-1320	129	63	rmax	rmax	ADJ
cana-1320	129	64	{	{	PUNCT
cana-1320	129	65	(	(	PUNCT
cana-1320	129	66	,	,	PUNCT
cana-1320	129	67	)	)	PUNCT
cana-1320	129	68	,	,	PUNCT
cana-1320	129	69	(	(	PUNCT
cana-1320	129	70	,	,	PUNCT
cana-1320	129	71	)	)	PUNCT
cana-1320	129	72	}	}	PUNCT
cana-1320	129	73	,	,	PUNCT
cana-1320	129	74	for	for	ADP
cana-1320	129	75	all	all	PRON
cana-1320	129	76	(	(	PUNCT
cana-1320	129	77	,	,	PUNCT
cana-1320	129	78	)	)	PUNCT
cana-1320	129	79	,	,	PUNCT
cana-1320	129	80	(	(	PUNCT
cana-1320	129	81	,	,	PUNCT
cana-1320	129	82	)	)	PUNCT
cana-1320	129	83	in	in	ADP
cana-1320	129	84	×	×	NOUN
cana-1320	129	85	.	.	PUNCT
cana-1320	130	1	hence	hence	ADV
cana-1320	130	2	is	be	AUX
cana-1320	130	3	a	a	PRON
cana-1320	130	4	of	of	ADP
cana-1320	130	5	×	×	NOUN
cana-1320	130	6	conversely	conversely	ADV
cana-1320	130	7	,	,	PUNCT
cana-1320	130	8	assume	assume	VERB
cana-1320	130	9	is	be	AUX
cana-1320	130	10	a	a	DET
cana-1320	130	11	of	of	ADP
cana-1320	130	12	×	×	PROPN
cana-1320	130	13	rmin	rmin	NOUN
cana-1320	130	14	{	{	PUNCT
cana-1320	130	15	+	+	CCONJ
cana-1320	130	16	(	(	PUNCT
cana-1320	130	17			NOUN
cana-1320	130	18	)	)	PUNCT
cana-1320	130	19	,	,	PUNCT
cana-1320	130	20	+	+	CCONJ
cana-1320	130	21	(	(	PUNCT
cana-1320	130	22			NOUN
cana-1320	130	23	)	)	PUNCT
cana-1320	130	24	}	}	PUNCT
cana-1320	130	25	=	=	SYM
cana-1320	130	26	(	(	PUNCT
cana-1320	130	27			NOUN
cana-1320	130	28	,	,	PUNCT
cana-1320	130	29			NOUN
cana-1320	130	30	)	)	PUNCT
cana-1320	130	31	=	=	PUNCT
cana-1320	131	1	[	[	X
cana-1320	131	2	(	(	PUNCT
cana-1320	131	3	,	,	PUNCT
cana-1320	131	4	)	)	PUNCT
cana-1320	131	5			NOUN
cana-1320	131	6	(	(	PUNCT
cana-1320	131	7	,	,	PUNCT
cana-1320	131	8	)	)	PUNCT
cana-1320	131	9	]	]	PUNCT
cana-1320	131	10			NUM
cana-1320	131	11	rmin	rmin	NOUN
cana-1320	131	12	{	{	PUNCT
cana-1320	131	13	(	(	PUNCT
cana-1320	131	14	,	,	PUNCT
cana-1320	131	15	)	)	PUNCT
cana-1320	131	16	,	,	PUNCT
cana-1320	131	17	(	(	PUNCT
cana-1320	131	18	,	,	PUNCT
cana-1320	131	19	)	)	PUNCT
cana-1320	131	20	}	}	PUNCT
cana-1320	131	21	=	=	SYM
cana-1320	131	22	rmin{rmin	rmin{rmin	NOUN
cana-1320	131	23	{	{	PUNCT
cana-1320	131	24	+	+	X
cana-1320	131	25	(	(	PUNCT
cana-1320	131	26	)	)	PUNCT
cana-1320	131	27	,	,	PUNCT
cana-1320	131	28	+	+	CCONJ
cana-1320	131	29	(	(	PUNCT
cana-1320	131	30	)	)	PUNCT
cana-1320	131	31	}	}	PUNCT
cana-1320	131	32	,	,	PUNCT
cana-1320	131	33	rmin	rmin	NOUN
cana-1320	131	34	{	{	PUNCT
cana-1320	131	35	+	+	X
cana-1320	131	36	(	(	PUNCT
cana-1320	131	37	)	)	PUNCT
cana-1320	131	38	,	,	PUNCT
cana-1320	131	39	+	+	CCONJ
cana-1320	131	40	(	(	PUNCT
cana-1320	131	41	)	)	PUNCT
cana-1320	131	42	}	}	PUNCT
cana-1320	131	43	}	}	PUNCT
cana-1320	131	44	,	,	PUNCT
cana-1320	131	45	put	put	VERB
cana-1320	131	46	and	and	CCONJ
cana-1320	131	47	,	,	PUNCT
cana-1320	131	48	where	where	SCONJ
cana-1320	131	49	is	be	AUX
cana-1320	131	50	an	an	DET
cana-1320	131	51	first	first	ADJ
cana-1320	131	52	operation	operation	NOUN
cana-1320	131	53	identity	identity	NOUN
cana-1320	131	54	element	element	NOUN
cana-1320	131	55	of	of	ADP
cana-1320	131	56	,	,	PUNCT
cana-1320	131	57	then	then	ADV
cana-1320	131	58	+	+	CCONJ
cana-1320	131	59	(	(	PUNCT
cana-1320	131	60			PROPN
cana-1320	131	61	)	)	PUNCT
cana-1320	131	62			NUM
cana-1320	131	63	rmin	rmin	NOUN
cana-1320	131	64	{	{	PUNCT
cana-1320	131	65	+	+	X
cana-1320	131	66	(	(	PUNCT
cana-1320	131	67	)	)	PUNCT
cana-1320	131	68	,	,	PUNCT
cana-1320	131	69	+	+	CCONJ
cana-1320	131	70	(	(	PUNCT
cana-1320	131	71	)	)	PUNCT
cana-1320	131	72	}	}	PUNCT
cana-1320	131	73	,	,	PUNCT
cana-1320	131	74			NOUN
cana-1320	131	75	,	,	PUNCT
cana-1320	131	76			PROPN
cana-1320	131	77	.	.	PUNCT
cana-1320	132	1	and	and	CCONJ
cana-1320	132	2	rmin	rmin	VERB
cana-1320	132	3	{	{	PUNCT
cana-1320	132	4	+	+	X
cana-1320	132	5	(	(	PUNCT
cana-1320	132	6	)	)	PUNCT
cana-1320	132	7	,	,	PUNCT
cana-1320	132	8	+	+	CCONJ
cana-1320	132	9	(	(	PUNCT
cana-1320	132	10	)	)	PUNCT
cana-1320	132	11	}	}	PUNCT
cana-1320	132	12	=	=	SYM
cana-1320	132	13	(	(	PUNCT
cana-1320	132	14	,	,	PUNCT
cana-1320	132	15	)	)	PUNCT
cana-1320	132	16	=	=	PUNCT
cana-1320	133	1	[	[	X
cana-1320	133	2	(	(	PUNCT
cana-1320	133	3	,	,	PUNCT
cana-1320	133	4	)	)	PUNCT
cana-1320	133	5	(	(	PUNCT
cana-1320	133	6	)	)	PUNCT
cana-1320	133	7	]	]	X
cana-1320	133	8			NUM
cana-1320	133	9	rmin	rmin	VERB
cana-1320	133	10	{	{	PUNCT
cana-1320	133	11	(	(	PUNCT
cana-1320	133	12	,	,	PUNCT
cana-1320	133	13	)	)	PUNCT
cana-1320	133	14	,	,	PUNCT
cana-1320	133	15	(	(	PUNCT
cana-1320	133	16	,	,	PUNCT
cana-1320	133	17	)	)	PUNCT
cana-1320	133	18	}	}	PUNCT
cana-1320	133	19	=	=	SYM
cana-1320	133	20	rmin{rmin	rmin{rmin	NOUN
cana-1320	133	21	{	{	PUNCT
cana-1320	133	22	+	+	X
cana-1320	133	23	(	(	PUNCT
cana-1320	133	24	)	)	PUNCT
cana-1320	133	25	,	,	PUNCT
cana-1320	133	26	+	+	CCONJ
cana-1320	133	27	(	(	PUNCT
cana-1320	133	28	)	)	PUNCT
cana-1320	133	29	}	}	PUNCT
cana-1320	133	30	,	,	PUNCT
cana-1320	133	31	rmin	rmin	NOUN
cana-1320	133	32	{	{	PUNCT
cana-1320	133	33	+	+	X
cana-1320	133	34	(	(	PUNCT
cana-1320	133	35	)	)	PUNCT
cana-1320	133	36	,	,	PUNCT
cana-1320	133	37	+	+	CCONJ
cana-1320	133	38	(	(	PUNCT
cana-1320	133	39	)	)	PUNCT
cana-1320	133	40	}	}	PUNCT
cana-1320	133	41	}	}	PUNCT
cana-1320	133	42	,	,	PUNCT
cana-1320	133	43	put	put	VERB
cana-1320	133	44	and	and	CCONJ
cana-1320	133	45	,	,	PUNCT
cana-1320	133	46	where	where	SCONJ
cana-1320	133	47	is	be	AUX
cana-1320	133	48	an	an	DET
cana-1320	133	49	first	first	ADJ
cana-1320	133	50	operation	operation	NOUN
cana-1320	133	51	identity	identity	NOUN
cana-1320	133	52	element	element	NOUN
cana-1320	133	53	of	of	ADP
cana-1320	133	54	,	,	PUNCT
cana-1320	133	55	then	then	ADV
cana-1320	133	56	+	+	CCONJ
cana-1320	133	57	(	(	PUNCT
cana-1320	133	58	)	)	PUNCT
cana-1320	133	59			NUM
cana-1320	133	60	rmin	rmin	NOUN
cana-1320	133	61	{	{	PUNCT
cana-1320	133	62	+	+	X
cana-1320	133	63	(	(	PUNCT
cana-1320	133	64	)	)	PUNCT
cana-1320	133	65	,	,	PUNCT
cana-1320	133	66	+	+	CCONJ
cana-1320	133	67	(	(	PUNCT
cana-1320	133	68	)	)	PUNCT
cana-1320	133	69	}	}	PUNCT
cana-1320	133	70	,	,	PUNCT
cana-1320	133	71			NOUN
cana-1320	133	72	,	,	PUNCT
cana-1320	133	73			PROPN
cana-1320	133	74	.	.	PUNCT
cana-1320	134	1	also	also	ADV
cana-1320	134	2	rmax	rmax	ADJ
cana-1320	134	3	{	{	PUNCT
cana-1320	134	4			X
cana-1320	134	5	(	(	PUNCT
cana-1320	134	6			PROPN
cana-1320	134	7	)	)	PUNCT
cana-1320	134	8	,	,	PUNCT
cana-1320	134	9			NOUN
cana-1320	134	10	(	(	PUNCT
cana-1320	134	11			NOUN
cana-1320	134	12	)	)	PUNCT
cana-1320	134	13	}	}	PUNCT
cana-1320	134	14	=	=	SYM
cana-1320	134	15	(	(	PUNCT
cana-1320	134	16			NOUN
cana-1320	134	17	,	,	PUNCT
cana-1320	134	18			NOUN
cana-1320	134	19	)	)	PUNCT
cana-1320	134	20	=	=	PUNCT
cana-1320	135	1	[	[	X
cana-1320	135	2	(	(	PUNCT
cana-1320	135	3	,	,	PUNCT
cana-1320	135	4	)	)	PUNCT
cana-1320	135	5			NOUN
cana-1320	135	6	(	(	PUNCT
cana-1320	135	7	,	,	PUNCT
cana-1320	135	8	)	)	PUNCT
cana-1320	135	9	]	]	PUNCT
cana-1320	135	10			NUM
cana-1320	135	11	rmax	rmax	ADJ
cana-1320	135	12	{	{	PUNCT
cana-1320	135	13	(	(	PUNCT
cana-1320	135	14	,	,	PUNCT
cana-1320	135	15	)	)	PUNCT
cana-1320	135	16	,	,	PUNCT
cana-1320	135	17	(	(	PUNCT
cana-1320	135	18	,	,	PUNCT
cana-1320	135	19	)	)	PUNCT
cana-1320	135	20	}	}	PUNCT
cana-1320	135	21	=	=	SYM
cana-1320	135	22	rmax{rmax	rmax{rmax	X
cana-1320	135	23	{	{	PUNCT
cana-1320	135	24			NOUN
cana-1320	135	25	(	(	PUNCT
cana-1320	135	26	)	)	PUNCT
cana-1320	135	27	,	,	PUNCT
cana-1320	135	28			NOUN
cana-1320	135	29	(	(	PUNCT
cana-1320	135	30	)	)	PUNCT
cana-1320	135	31	}	}	PUNCT
cana-1320	135	32	,	,	PUNCT
cana-1320	135	33	rmax	rmax	ADJ
cana-1320	135	34	{	{	PUNCT
cana-1320	135	35			NOUN
cana-1320	135	36	(	(	PUNCT
cana-1320	135	37	)	)	PUNCT
cana-1320	135	38	,	,	PUNCT
cana-1320	135	39			NOUN
cana-1320	135	40	(	(	PUNCT
cana-1320	135	41	)	)	PUNCT
cana-1320	135	42	}	}	PUNCT
cana-1320	135	43	}	}	PUNCT
cana-1320	135	44	,	,	PUNCT
cana-1320	135	45	put	put	VERB
cana-1320	135	46	and	and	CCONJ
cana-1320	135	47	,	,	PUNCT
cana-1320	135	48	where	where	SCONJ
cana-1320	135	49	is	be	AUX
cana-1320	135	50	an	an	DET
cana-1320	135	51	first	first	ADJ
cana-1320	135	52	operation	operation	NOUN
cana-1320	135	53	identity	identity	NOUN
cana-1320	135	54	element	element	NOUN
cana-1320	135	55	of	of	ADP
cana-1320	135	56	,	,	PUNCT
cana-1320	135	57	then	then	ADV
cana-1320	135	58			PROPN
cana-1320	135	59	(	(	PUNCT
cana-1320	135	60			PROPN
cana-1320	135	61	)	)	PUNCT
cana-1320	135	62			NUM
cana-1320	135	63	max	max	PROPN
cana-1320	135	64	{	{	PUNCT
cana-1320	135	65			NOUN
cana-1320	135	66	(	(	PUNCT
cana-1320	135	67	)	)	PUNCT
cana-1320	135	68	,	,	PUNCT
cana-1320	135	69			NOUN
cana-1320	135	70	(	(	PUNCT
cana-1320	135	71	)	)	PUNCT
cana-1320	135	72	}	}	PUNCT
cana-1320	135	73	,	,	PUNCT
cana-1320	135	74			NOUN
cana-1320	135	75	,	,	PUNCT
cana-1320	135	76			PROPN
cana-1320	135	77	.	.	PUNCT
cana-1320	136	1	and	and	CCONJ
cana-1320	136	2	rmax	rmax	ADJ
cana-1320	136	3	{	{	PUNCT
cana-1320	136	4			NOUN
cana-1320	136	5	(	(	PUNCT
cana-1320	136	6	)	)	PUNCT
cana-1320	136	7	,	,	PUNCT
cana-1320	136	8			NOUN
cana-1320	136	9	(	(	PUNCT
cana-1320	136	10	)	)	PUNCT
cana-1320	136	11	}	}	PUNCT
cana-1320	136	12	=	=	SYM
cana-1320	136	13	(	(	PUNCT
cana-1320	136	14	,	,	PUNCT
cana-1320	136	15	)	)	PUNCT
cana-1320	136	16	=	=	PUNCT
cana-1320	137	1	[	[	X
cana-1320	137	2	(	(	PUNCT
cana-1320	137	3	,	,	PUNCT
cana-1320	137	4	)	)	PUNCT
cana-1320	137	5	(	(	PUNCT
cana-1320	137	6	)	)	PUNCT
cana-1320	137	7	]	]	PUNCT
cana-1320	137	8			NUM
cana-1320	137	9	rmax	rmax	NOUN
cana-1320	137	10	{	{	PUNCT
cana-1320	137	11	(	(	PUNCT
cana-1320	137	12	,	,	PUNCT
cana-1320	137	13	)	)	PUNCT
cana-1320	137	14	,	,	PUNCT
cana-1320	137	15	(	(	PUNCT
cana-1320	137	16	,	,	PUNCT
cana-1320	137	17	)	)	PUNCT
cana-1320	137	18	}	}	PUNCT
cana-1320	137	19	=	=	SYM
cana-1320	137	20	rmax{rmax	rmax{rmax	X
cana-1320	137	21	{	{	PUNCT
cana-1320	137	22			NOUN
cana-1320	137	23	(	(	PUNCT
cana-1320	137	24	)	)	PUNCT
cana-1320	137	25	,	,	PUNCT
cana-1320	137	26			NOUN
cana-1320	137	27	(	(	PUNCT
cana-1320	137	28	)	)	PUNCT
cana-1320	137	29	}	}	PUNCT
cana-1320	137	30	,	,	PUNCT
cana-1320	137	31	rmax	rmax	ADJ
cana-1320	137	32	{	{	PUNCT
cana-1320	137	33			NOUN
cana-1320	137	34	(	(	PUNCT
cana-1320	137	35	)	)	PUNCT
cana-1320	137	36	,	,	PUNCT
cana-1320	137	37			NOUN
cana-1320	137	38	(	(	PUNCT
cana-1320	137	39	)	)	PUNCT
cana-1320	137	40	}	}	PUNCT
cana-1320	137	41	}	}	PUNCT
cana-1320	137	42	,	,	PUNCT
cana-1320	137	43	put	put	VERB
cana-1320	137	44	and	and	CCONJ
cana-1320	137	45	,	,	PUNCT
cana-1320	137	46	where	where	SCONJ
cana-1320	137	47	is	be	AUX
cana-1320	137	48	an	an	DET
cana-1320	137	49	first	first	ADJ
cana-1320	137	50	operation	operation	NOUN
cana-1320	137	51	identity	identity	NOUN
cana-1320	137	52	element	element	NOUN
cana-1320	137	53	of	of	ADP
cana-1320	137	54	,	,	PUNCT
cana-1320	137	55	then	then	ADV
cana-1320	137	56			PROPN
cana-1320	137	57	(	(	PUNCT
cana-1320	137	58	)	)	PUNCT
cana-1320	137	59			NUM
cana-1320	137	60	rmax	rmax	ADJ
cana-1320	137	61	{	{	PUNCT
cana-1320	137	62			NOUN
cana-1320	137	63	(	(	PUNCT
cana-1320	137	64	)	)	PUNCT
cana-1320	137	65	,	,	PUNCT
cana-1320	137	66			NOUN
cana-1320	137	67	(	(	PUNCT
cana-1320	137	68	)	)	PUNCT
cana-1320	137	69	}	}	PUNCT
cana-1320	137	70	,	,	PUNCT
cana-1320	137	71			NOUN
cana-1320	137	72	,	,	PUNCT
cana-1320	137	73			NOUN
cana-1320	137	74	.	.	PUNCT
cana-1320	138	1	conclusion	conclusion	NOUN
cana-1320	138	2	using	use	VERB
cana-1320	138	3	the	the	DET
cana-1320	138	4	above	above	ADJ
cana-1320	138	5	theorems	theorem	NOUN
cana-1320	138	6	,	,	PUNCT
cana-1320	138	7	we	we	PRON
cana-1320	138	8	can	can	AUX
cana-1320	138	9	find	find	VERB
cana-1320	138	10	more	more	ADJ
cana-1320	138	11	results	result	NOUN
cana-1320	138	12	.	.	PUNCT
cana-1320	139	1	it	it	PRON
cana-1320	139	2	can	can	AUX
cana-1320	139	3	be	be	AUX
cana-1320	139	4	extended	extend	VERB
cana-1320	139	5	into	into	ADP
cana-1320	139	6	different	different	ADJ
cana-1320	139	7	types	type	NOUN
cana-1320	139	8	of	of	ADP
cana-1320	139	9	bvv	bvv	NOUN
cana-1320	139	10	algebra	algebra	NOUN
cana-1320	139	11	.	.	PUNCT
cana-1320	140	1	references	reference	NOUN
cana-1320	140	2	[	[	X
cana-1320	140	3	1	1	NUM
cana-1320	140	4	]	]	PUNCT
cana-1320	140	5	anandh.b	anandh.b	PROPN
cana-1320	140	6	and	and	CCONJ
cana-1320	140	7	giri.r	giri.r	PROPN
cana-1320	140	8	,	,	PUNCT
cana-1320	140	9	“	"	PUNCT
cana-1320	140	10	notes	note	NOUN
cana-1320	140	11	on	on	ADP
cana-1320	140	12	intuitionistic	intuitionistic	ADJ
cana-1320	140	13	(	(	PUNCT
cana-1320	140	14	t	t	PROPN
cana-1320	140	15	,	,	PUNCT
cana-1320	140	16	s)-fuzzy	s)-fuzzy	ADP
cana-1320	140	17	subfields	subfield	NOUN
cana-1320	140	18	of	of	ADP
cana-1320	140	19	a	a	DET
cana-1320	140	20	field	field	NOUN
cana-1320	140	21	”	"	PUNCT
cana-1320	140	22	,	,	PUNCT
cana-1320	140	23	iosr	iosr	ADJ
cana-1320	140	24	journal	journal	NOUN
cana-1320	140	25	of	of	ADP
cana-1320	140	26	mathematics	mathematics	PROPN
cana-1320	140	27	(	(	PUNCT
cana-1320	140	28	iosr	iosr	PROPN
cana-1320	140	29	-	-	PUNCT
cana-1320	140	30	jm	jm	NOUN
cana-1320	140	31	)	)	PUNCT
cana-1320	140	32	,	,	PUNCT
cana-1320	140	33	volume	volume	NOUN
cana-1320	140	34	12	12	NUM
cana-1320	140	35	,	,	PUNCT
cana-1320	140	36	issue	issue	NOUN
cana-1320	140	37	5	5	NUM
cana-1320	140	38	ver	ver	NOUN
cana-1320	140	39	.	.	PUNCT
cana-1320	141	1	iii	iii	X
cana-1320	141	2	(	(	PUNCT
cana-1320	141	3	2016	2016	NUM
cana-1320	141	4	)	)	PUNCT
cana-1320	141	5	,	,	PUNCT
cana-1320	141	6	3034	3034	NUM
cana-1320	141	7	.	.	PUNCT
cana-1320	142	1	communications	communication	NOUN
cana-1320	142	2	on	on	ADP
cana-1320	142	3	applied	apply	VERB
cana-1320	142	4	nonlinear	nonlinear	ADJ
cana-1320	142	5	analysis	analysis	NOUN
cana-1320	142	6	issn	issn	NOUN
cana-1320	142	7	:	:	PUNCT
cana-1320	142	8	1074	1074	NUM
cana-1320	142	9	-	-	PUNCT
cana-1320	142	10	133x	133x	NUM
cana-1320	142	11	vol	vol	NOUN
cana-1320	142	12	31	31	NUM
cana-1320	142	13	no	no	NOUN
cana-1320	142	14	.	.	PUNCT
cana-1320	143	1	7s	7	NOUN
cana-1320	143	2	(	(	PUNCT
cana-1320	143	3	2024	2024	NUM
cana-1320	143	4	)	)	PUNCT
cana-1320	143	5	420	420	NUM
cana-1320	143	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-1320	144	1	[	[	X
cana-1320	144	2	2	2	NUM
cana-1320	144	3	]	]	PUNCT
cana-1320	144	4	anitha.m.s	anitha.m.s	ADV
cana-1320	144	5	.	.	PUNCT
cana-1320	144	6	,	,	PUNCT
cana-1320	144	7	muruganantha	muruganantha	PROPN
cana-1320	144	8	prasad	prasad	PROPN
cana-1320	144	9	&	&	CCONJ
cana-1320	144	10	k.arjunan	k.arjunan	PROPN
cana-1320	144	11	,	,	PUNCT
cana-1320	144	12	notes	note	NOUN
cana-1320	144	13	on	on	ADP
cana-1320	144	14	bipolar	bipolar	ADJ
cana-1320	144	15	valued	value	VERB
cana-1320	144	16	fuzzy	fuzzy	ADJ
cana-1320	144	17	subgroups	subgroup	NOUN
cana-1320	144	18	of	of	ADP
cana-1320	144	19	a	a	DET
cana-1320	144	20	group	group	NOUN
cana-1320	144	21	,	,	PUNCT
cana-1320	144	22	bulletin	bulletin	NOUN
cana-1320	144	23	of	of	ADP
cana-1320	144	24	society	society	NOUN
cana-1320	144	25	for	for	ADP
cana-1320	144	26	mathematical	mathematical	ADJ
cana-1320	144	27	services	service	NOUN
cana-1320	144	28	and	and	CCONJ
cana-1320	144	29	standards	standard	NOUN
cana-1320	144	30	,	,	PUNCT
cana-1320	144	31	vol	vol	NOUN
cana-1320	144	32	.	.	NOUN
cana-1320	145	1	2	2	NUM
cana-1320	145	2	no	no	NOUN
cana-1320	145	3	.	.	NOUN
cana-1320	145	4	3	3	NUM
cana-1320	145	5	(	(	PUNCT
cana-1320	145	6	2013	2013	NUM
cana-1320	145	7	)	)	PUNCT
cana-1320	145	8	,	,	PUNCT
cana-1320	145	9	pp	pp	ADP
cana-1320	145	10	.	.	PUNCT
cana-1320	146	1	52	52	NUM
cana-1320	146	2	-	-	SYM
cana-1320	146	3	59	59	NUM
cana-1320	146	4	.	.	PUNCT
cana-1320	147	1	[	[	X
cana-1320	147	2	3	3	X
cana-1320	147	3	]	]	X
cana-1320	147	4	azriel	azriel	PROPN
cana-1320	147	5	rosenfeld	rosenfeld	PROPN
cana-1320	147	6	,	,	PUNCT
cana-1320	147	7	fuzzy	fuzzy	ADJ
cana-1320	147	8	groups	group	NOUN
cana-1320	147	9	,	,	PUNCT
cana-1320	147	10	journal	journal	NOUN
cana-1320	147	11	of	of	ADP
cana-1320	147	12	mathematical	mathematical	ADJ
cana-1320	147	13	analysis	analysis	NOUN
cana-1320	147	14	and	and	CCONJ
cana-1320	147	15	applications	application	NOUN
cana-1320	147	16	35(1971	35(1971	NUM
cana-1320	147	17	)	)	PUNCT
cana-1320	147	18	,	,	PUNCT
cana-1320	147	19	512	512	NUM
cana-1320	147	20	-	-	SYM
cana-1320	147	21	517	517	NUM
cana-1320	147	22	.	.	PUNCT
cana-1320	148	1	[	[	X
cana-1320	148	2	4	4	NUM
cana-1320	148	3	]	]	SYM
cana-1320	148	4	balasubramanian.a	balasubramanian.a	PROPN
cana-1320	148	5	,	,	PUNCT
cana-1320	148	6	k.l.muruganantha	k.l.muruganantha	PROPN
cana-1320	148	7	prasad	prasad	PROPN
cana-1320	148	8	&	&	CCONJ
cana-1320	148	9	k.arjunan	k.arjunan	PROPN
cana-1320	148	10	,	,	PUNCT
cana-1320	148	11	“	"	PUNCT
cana-1320	148	12	properties	property	NOUN
cana-1320	148	13	of	of	ADP
cana-1320	148	14	bipolar	bipolar	ADJ
cana-1320	148	15	interval	interval	NOUN
cana-1320	148	16	valued	value	VERB
cana-1320	148	17	fuzzy	fuzzy	ADJ
cana-1320	148	18	subgroups	subgroup	NOUN
cana-1320	148	19	of	of	ADP
cana-1320	148	20	a	a	DET
cana-1320	148	21	group	group	NOUN
cana-1320	148	22	”	"	PUNCT
cana-1320	148	23	,	,	PUNCT
cana-1320	148	24	international	international	ADJ
cana-1320	148	25	journal	journal	NOUN
cana-1320	148	26	of	of	ADP
cana-1320	148	27	scientific	scientific	ADJ
cana-1320	148	28	research	research	NOUN
cana-1320	148	29	,	,	PUNCT
cana-1320	148	30	vol	vol	NOUN
cana-1320	148	31	.	.	PROPN
cana-1320	148	32	4	4	NUM
cana-1320	148	33	,	,	PUNCT
cana-1320	148	34	iss	iss	PROPN
cana-1320	148	35	.	.	PROPN
cana-1320	148	36	4	4	NUM
cana-1320	148	37	(	(	PUNCT
cana-1320	148	38	2015	2015	NUM
cana-1320	148	39	)	)	PUNCT
cana-1320	148	40	,	,	PUNCT
cana-1320	148	41	262	262	NUM
cana-1320	148	42	268	268	NUM
cana-1320	148	43	.	.	PUNCT
cana-1320	149	1	[	[	X
cana-1320	149	2	5	5	NUM
cana-1320	149	3	]	]	X
cana-1320	149	4	cicily	cicily	ADV
cana-1320	149	5	flora	flora	NOUN
cana-1320	149	6	.	.	PUNCT
cana-1320	150	1	s	s	PART
cana-1320	150	2	and	and	CCONJ
cana-1320	150	3	arockiarani.i	arockiarani.i	PROPN
cana-1320	150	4	,	,	PUNCT
cana-1320	150	5	a	a	DET
cana-1320	150	6	new	new	ADJ
cana-1320	150	7	class	class	NOUN
cana-1320	150	8	of	of	ADP
cana-1320	150	9	generalized	generalized	ADJ
cana-1320	150	10	bipolar	bipolar	ADJ
cana-1320	150	11	vague	vague	ADJ
cana-1320	150	12	sets	set	NOUN
cana-1320	150	13	,	,	PUNCT
cana-1320	150	14	international	international	ADJ
cana-1320	150	15	journal	journal	NOUN
cana-1320	150	16	of	of	ADP
cana-1320	150	17	information	information	NOUN
cana-1320	150	18	research	research	NOUN
cana-1320	150	19	and	and	CCONJ
cana-1320	150	20	review,3(11	review,3(11	PROPN
cana-1320	150	21	)	)	PUNCT
cana-1320	150	22	,	,	PUNCT
cana-1320	150	23	(	(	PUNCT
cana-1320	150	24	2016	2016	NUM
cana-1320	150	25	)	)	PUNCT
cana-1320	150	26	,	,	PUNCT
cana-1320	150	27	3058	3058	NUM
cana-1320	150	28	3065	3065	NUM
cana-1320	150	29	.	.	PUNCT
cana-1320	151	1	[	[	X
cana-1320	151	2	6	6	NUM
cana-1320	151	3	]	]	X
cana-1320	151	4	gau	gau	NOUN
cana-1320	151	5	w.l	w.l	PROPN
cana-1320	151	6	and	and	CCONJ
cana-1320	151	7	buehrer	buehrer	PROPN
cana-1320	151	8	d.j	d.j	PROPN
cana-1320	151	9	,	,	PUNCT
cana-1320	151	10	vague	vague	ADJ
cana-1320	151	11	sets	set	NOUN
cana-1320	151	12	,	,	PUNCT
cana-1320	151	13	ieee	ieee	NOUN
cana-1320	151	14	transactions	transaction	NOUN
cana-1320	151	15	on	on	ADP
cana-1320	151	16	systems	system	NOUN
cana-1320	151	17	,	,	PUNCT
cana-1320	151	18	man	man	NOUN
cana-1320	151	19	and	and	CCONJ
cana-1320	151	20	cybernetics	cybernetic	NOUN
cana-1320	151	21	,	,	PUNCT
cana-1320	151	22	23(1993	23(1993	NUM
cana-1320	151	23	)	)	PUNCT
cana-1320	151	24	,	,	PUNCT
cana-1320	151	25	610	610	NUM
cana-1320	151	26			NOUN
cana-1320	151	27	614	614	NUM
cana-1320	151	28	.	.	PUNCT
cana-1320	152	1	[	[	X
cana-1320	152	2	7	7	X
cana-1320	152	3	]	]	X
cana-1320	152	4	grattan	grattan	PROPN
cana-1320	152	5	-	-	PUNCT
cana-1320	152	6	guiness	guiness	PROPN
cana-1320	152	7	,	,	PUNCT
cana-1320	152	8	“	"	PUNCT
cana-1320	152	9	fuzzy	fuzzy	ADJ
cana-1320	152	10	membership	membership	NOUN
cana-1320	152	11	mapped	map	VERB
cana-1320	152	12	onto	onto	ADP
cana-1320	152	13	interval	interval	NOUN
cana-1320	152	14	and	and	CCONJ
cana-1320	152	15	many	many	ADJ
cana-1320	152	16	valued	value	VERB
cana-1320	152	17	quantities	quantity	NOUN
cana-1320	152	18	”	"	PUNCT
cana-1320	152	19	,	,	PUNCT
cana-1320	152	20	z.math.logik	z.math.logik	PROPN
cana-1320	152	21	.	.	PUNCT
cana-1320	152	22	grundladen	grundladen	PROPN
cana-1320	152	23	math	math	NOUN
cana-1320	152	24	.	.	PUNCT
cana-1320	153	1	22	22	NUM
cana-1320	153	2	(	(	PUNCT
cana-1320	153	3	1975	1975	NUM
cana-1320	153	4	)	)	PUNCT
cana-1320	153	5	,	,	PUNCT
cana-1320	153	6	149	149	NUM
cana-1320	153	7			NOUN
cana-1320	153	8	160	160	NUM
cana-1320	153	9	.	.	PUNCT
cana-1320	154	1	[	[	X
cana-1320	154	2	8	8	NUM
cana-1320	154	3	]	]	X
cana-1320	154	4	k.m.lee	k.m.lee	PROPN
cana-1320	154	5	,	,	PUNCT
cana-1320	154	6	bipolar	bipolar	ADJ
cana-1320	154	7	valued	value	VERB
cana-1320	154	8	fuzzy	fuzzy	ADJ
cana-1320	154	9	sets	set	NOUN
cana-1320	154	10	and	and	CCONJ
cana-1320	154	11	their	their	PRON
cana-1320	154	12	operations	operation	NOUN
cana-1320	154	13	.	.	PUNCT
cana-1320	155	1	proc	proc	NOUN
cana-1320	155	2	.	.	PUNCT
cana-1320	156	1	int	int	NOUN
cana-1320	156	2	.	.	PUNCT
cana-1320	156	3	conf	conf	PROPN
cana-1320	156	4	.	.	PUNCT
cana-1320	157	1	on	on	ADP
cana-1320	157	2	intelligent	intelligent	ADJ
cana-1320	157	3	technologies	technology	NOUN
cana-1320	157	4	,	,	PUNCT
cana-1320	157	5	bangkok	bangkok	PROPN
cana-1320	157	6	,	,	PUNCT
cana-1320	157	7	thailand	thailand	PROPN
cana-1320	157	8	(	(	PUNCT
cana-1320	157	9	2000	2000	NUM
cana-1320	157	10	)	)	PUNCT
cana-1320	157	11	,	,	PUNCT
cana-1320	157	12	307	307	NUM
cana-1320	157	13	-	-	SYM
cana-1320	157	14	312	312	NUM
cana-1320	157	15	.	.	PUNCT
cana-1320	158	1	[	[	X
cana-1320	158	2	9	9	NUM
cana-1320	158	3	]	]	SYM
cana-1320	158	4	k.m.lee	k.m.lee	PROPN
cana-1320	158	5	,	,	PUNCT
cana-1320	158	6	comparison	comparison	NOUN
cana-1320	158	7	of	of	ADP
cana-1320	158	8	interval	interval	NOUN
cana-1320	158	9	valued	value	VERB
cana-1320	158	10	fuzzy	fuzzy	ADJ
cana-1320	158	11	sets	set	NOUN
cana-1320	158	12	,	,	PUNCT
cana-1320	158	13	intuitionistic	intuitionistic	ADJ
cana-1320	158	14	fuzzy	fuzzy	ADJ
cana-1320	158	15	sets	set	NOUN
cana-1320	158	16	and	and	CCONJ
cana-1320	158	17	bipolar	bipolar	ADJ
cana-1320	158	18	valued	value	VERB
cana-1320	158	19	fuzzy	fuzzy	ADJ
cana-1320	158	20	sets	set	NOUN
cana-1320	158	21	.	.	PUNCT
cana-1320	159	1	j.	j.	PROPN
cana-1320	159	2	fuzzy	fuzzy	ADJ
cana-1320	159	3	logic	logic	NOUN
cana-1320	159	4	intelligent	intelligent	ADJ
cana-1320	159	5	systems	system	NOUN
cana-1320	159	6	,	,	PUNCT
cana-1320	159	7	14	14	NUM
cana-1320	159	8	(	(	PUNCT
cana-1320	159	9	2	2	NUM
cana-1320	159	10	)	)	PUNCT
cana-1320	159	11	(	(	PUNCT
cana-1320	159	12	2004	2004	NUM
cana-1320	159	13	)	)	PUNCT
cana-1320	159	14	,	,	PUNCT
cana-1320	159	15	125	125	NUM
cana-1320	159	16	-	-	SYM
cana-1320	159	17	129	129	NUM
cana-1320	159	18	.	.	PUNCT
cana-1320	160	1	[	[	X
cana-1320	160	2	10	10	NUM
cana-1320	160	3	]	]	X
cana-1320	160	4	muthusamy	muthusamy	NOUN
cana-1320	160	5	.	.	PUNCT
cana-1320	161	1	m	m	PROPN
cana-1320	161	2	,	,	PUNCT
cana-1320	161	3	palaniappan	palaniappan	NOUN
cana-1320	161	4	.	.	PUNCT
cana-1320	162	1	n	n	PROPN
cana-1320	162	2	and	and	CCONJ
cana-1320	162	3	arjunan	arjunan	ADJ
cana-1320	162	4	.	.	PUNCT
cana-1320	163	1	k	k	X
cana-1320	163	2	,	,	PUNCT
cana-1320	163	3	“	"	PUNCT
cana-1320	163	4	homomorphism	homomorphism	NOUN
cana-1320	163	5	and	and	CCONJ
cana-1320	163	6	anti	anti	ADJ
cana-1320	163	7	homomorphism	homomorphism	NOUN
cana-1320	163	8	of	of	ADP
cana-1320	163	9	level	level	NOUN
cana-1320	163	10	subfield	subfield	NOUN
cana-1320	163	11	of	of	ADP
cana-1320	163	12	intuitionistic	intuitionistic	ADJ
cana-1320	163	13	fuzzy	fuzzy	ADJ
cana-1320	163	14	subfield	subfield	NOUN
cana-1320	163	15	of	of	ADP
cana-1320	163	16	a	a	DET
cana-1320	163	17	field	field	NOUN
cana-1320	163	18	”	"	PUNCT
cana-1320	163	19	,	,	PUNCT
cana-1320	163	20	international	international	ADJ
cana-1320	163	21	journal	journal	NOUN
cana-1320	163	22	of	of	ADP
cana-1320	163	23	computationaland	computationaland	ADJ
cana-1320	163	24	applied	apply	VERB
cana-1320	163	25	mathematics	mathematic	NOUN
cana-1320	163	26	,	,	PUNCT
cana-1320	163	27	vol	vol	NOUN
cana-1320	163	28	.	.	PROPN
cana-1320	163	29	4	4	NUM
cana-1320	163	30	,	,	PUNCT
cana-1320	163	31	number	number	NOUN
cana-1320	163	32	3	3	NUM
cana-1320	163	33	(	(	PUNCT
cana-1320	163	34	2009	2009	NUM
cana-1320	163	35	)	)	PUNCT
cana-1320	163	36	,	,	PUNCT
cana-1320	163	37	299	299	NUM
cana-1320	163	38			NOUN
cana-1320	163	39	306	306	NUM
cana-1320	163	40	.	.	PUNCT
cana-1320	164	1	[	[	X
cana-1320	164	2	11	11	NUM
cana-1320	164	3	]	]	SYM
cana-1320	164	4	ranjitbiswas	ranjitbiswas	ADJ
cana-1320	164	5	,	,	PUNCT
cana-1320	164	6	vague	vague	ADJ
cana-1320	164	7	groups	group	NOUN
cana-1320	164	8	,	,	PUNCT
cana-1320	164	9	international	international	ADJ
cana-1320	164	10	journal	journal	NOUN
cana-1320	164	11	of	of	ADP
cana-1320	164	12	computational	computational	ADJ
cana-1320	164	13	coginition	coginition	NOUN
cana-1320	164	14	,	,	PUNCT
cana-1320	164	15	4(2	4(2	NUM
cana-1320	164	16	)	)	PUNCT
cana-1320	164	17	,	,	PUNCT
cana-1320	164	18	(	(	PUNCT
cana-1320	164	19	2006	2006	NUM
cana-1320	164	20	)	)	PUNCT
cana-1320	164	21	,	,	PUNCT
cana-1320	164	22	20	20	NUM
cana-1320	164	23			NOUN
cana-1320	164	24	23	23	NUM
cana-1320	164	25	.	.	PUNCT
cana-1320	165	1	[	[	X
cana-1320	165	2	12	12	NUM
cana-1320	165	3	]	]	PUNCT
cana-1320	165	4	yamini	yamini	NOUN
cana-1320	165	5	.	.	PROPN
cana-1320	166	1	c	c	X
cana-1320	166	2	,	,	PUNCT
cana-1320	166	3	arjunan	arjunan	ADJ
cana-1320	166	4	.	.	PUNCT
cana-1320	167	1	k	k	X
cana-1320	167	2	,	,	PUNCT
cana-1320	167	3	and	and	CCONJ
cana-1320	167	4	ananth.b	ananth.b	PROPN
cana-1320	167	5	.	.	PROPN
cana-1320	167	6	,	,	PUNCT
cana-1320	167	7	“	"	PUNCT
cana-1320	167	8	bipolar	bipolar	ADJ
cana-1320	167	9	valued	value	VERB
cana-1320	167	10	multi	multi	ADJ
cana-1320	167	11	fuzzy	fuzzy	ADJ
cana-1320	167	12	subfield	subfield	NOUN
cana-1320	167	13	of	of	ADP
cana-1320	167	14	a	a	DET
cana-1320	167	15	field	field	NOUN
cana-1320	167	16	”	"	PUNCT
cana-1320	167	17	,	,	PUNCT
cana-1320	167	18	international	international	ADJ
cana-1320	167	19	journal	journal	NOUN
cana-1320	167	20	of	of	ADP
cana-1320	167	21	management	management	NOUN
cana-1320	167	22	,	,	PUNCT
cana-1320	167	23	technology	technology	NOUN
cana-1320	167	24	and	and	CCONJ
cana-1320	167	25	engineering	engineering	NOUN
cana-1320	167	26	,	,	PUNCT
cana-1320	167	27	volume	volume	NOUN
cana-1320	167	28	8	8	NUM
cana-1320	167	29	,	,	PUNCT
cana-1320	167	30	issue	issue	NOUN
cana-1320	167	31	xi(2018	xi(2018	NOUN
cana-1320	167	32	)	)	PUNCT
cana-1320	167	33	,	,	PUNCT
cana-1320	167	34	1706	1706	NUM
cana-1320	167	35	1711	1711	NUM
cana-1320	167	36	.	.	PUNCT
cana-1320	168	1	[	[	X
cana-1320	168	2	13	13	NUM
cana-1320	168	3	]	]	SYM
cana-1320	168	4	yasodara.b	yasodara.b	NOUN
cana-1320	168	5	and	and	CCONJ
cana-1320	168	6	ke.sathappan	ke.sathappan	NOUN
cana-1320	168	7	,	,	PUNCT
cana-1320	168	8	“	"	PUNCT
cana-1320	168	9	bipolar	bipolar	ADJ
cana-1320	168	10	-	-	PUNCT
cana-1320	168	11	valued	value	VERB
cana-1320	168	12	multi	multi	ADJ
cana-1320	168	13	fuzzy	fuzzy	ADJ
cana-1320	168	14	subsemifields	subsemifield	NOUN
cana-1320	168	15	of	of	ADP
cana-1320	168	16	a	a	DET
cana-1320	168	17	semifield	semifield	NOUN
cana-1320	168	18	”	"	PUNCT
cana-1320	168	19	,	,	PUNCT
cana-1320	168	20	international	international	ADJ
cana-1320	168	21	journal	journal	NOUN
cana-1320	168	22	of	of	ADP
cana-1320	168	23	mathematical	mathematical	ADJ
cana-1320	168	24	archive	archive	NOUN
cana-1320	168	25	,	,	PUNCT
cana-1320	168	26	6(9	6(9	NUM
cana-1320	168	27	)	)	PUNCT
cana-1320	168	28	(	(	PUNCT
cana-1320	168	29	2015	2015	NUM
cana-1320	168	30	)	)	PUNCT
cana-1320	168	31	,	,	PUNCT
cana-1320	168	32	75	75	NUM
cana-1320	168	33			NOUN
cana-1320	168	34	80	80	NUM
cana-1320	168	35	.	.	PUNCT
cana-1320	169	1	[	[	X
cana-1320	169	2	14	14	NUM
cana-1320	169	3	]	]	PUNCT
cana-1320	169	4	l.a.zadeh	l.a.zadeh	NOUN
cana-1320	169	5	,	,	PUNCT
cana-1320	169	6	fuzzy	fuzzy	ADJ
cana-1320	169	7	sets	set	NOUN
cana-1320	169	8	,	,	PUNCT
cana-1320	169	9	inform	inform	NOUN
cana-1320	169	10	.	.	PUNCT
cana-1320	170	1	and	and	CCONJ
cana-1320	170	2	control	control	NOUN
cana-1320	170	3	,	,	PUNCT
cana-1320	170	4	8(1965	8(1965	NUM
cana-1320	170	5	)	)	PUNCT
cana-1320	170	6	,	,	PUNCT
cana-1320	170	7	338	338	NUM
cana-1320	170	8	-	-	SYM
cana-1320	170	9	353	353	NUM
cana-1320	170	10	.	.	PUNCT
cana-1320	171	1	[	[	X
cana-1320	171	2	15	15	NUM
cana-1320	171	3	]	]	X
cana-1320	171	4	w.r.zhang	w.r.zhang	PROPN
cana-1320	171	5	,	,	PUNCT
cana-1320	171	6	bipolar	bipolar	ADJ
cana-1320	171	7	fuzzy	fuzzy	ADJ
cana-1320	171	8	sets	set	NOUN
cana-1320	171	9	and	and	CCONJ
cana-1320	171	10	relations	relation	NOUN
cana-1320	171	11	,	,	PUNCT
cana-1320	171	12	a	a	DET
cana-1320	171	13	computational	computational	ADJ
cana-1320	171	14	frame	frame	NOUN
cana-1320	171	15	work	work	NOUN
cana-1320	171	16	for	for	ADP
cana-1320	171	17	cognitive	cognitive	ADJ
cana-1320	171	18	modeling	modeling	NOUN
cana-1320	171	19	and	and	CCONJ
cana-1320	171	20	multiple	multiple	ADJ
cana-1320	171	21	decision	decision	NOUN
cana-1320	171	22	analysis	analysis	NOUN
cana-1320	171	23	,	,	PUNCT
cana-1320	171	24	proceedings	proceeding	NOUN
cana-1320	171	25	of	of	ADP
cana-1320	171	26	fuzzy	fuzzy	ADJ
cana-1320	171	27	ieee	ieee	NOUN
cana-1320	171	28	conferences	conference	NOUN
cana-1320	171	29	,	,	PUNCT
cana-1320	171	30	(	(	PUNCT
cana-1320	171	31	1994	1994	NUM
cana-1320	171	32	)	)	PUNCT
cana-1320	171	33	,	,	PUNCT
cana-1320	171	34	305	305	NUM
cana-1320	171	35	309	309	NUM
cana-1320	171	36	.	.	PUNCT