id	sid	tid	token	lemma	pos
cana-4144	1	1	communications	communication	NOUN
cana-4144	1	2	on	on	ADP
cana-4144	1	3	applied	apply	VERB
cana-4144	1	4	nonlinear	nonlinear	ADJ
cana-4144	1	5	analysis	analysis	NOUN
cana-4144	1	6	issn	issn	NOUN
cana-4144	1	7	:	:	PUNCT
cana-4144	1	8	1074	1074	NUM
cana-4144	1	9	-	-	PUNCT
cana-4144	1	10	133x	133x	NUM
cana-4144	1	11	vol	vol	NOUN
cana-4144	1	12	x	x	NOUN
cana-4144	1	13	no	no	INTJ
cana-4144	1	14	.	.	PUNCT
cana-4144	2	1	y	y	PROPN
cana-4144	2	2	(	(	PUNCT
cana-4144	2	3	2025	2025	NUM
cana-4144	2	4	)	)	PUNCT
cana-4144	2	5	1332	1332	NUM
cana-4144	2	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	2	7	a	a	DET
cana-4144	2	8	study	study	NOUN
cana-4144	2	9	on	on	ADP
cana-4144	2	10	signed	sign	VERB
cana-4144	2	11	fuzzy	fuzzy	ADJ
cana-4144	2	12	sets	set	NOUN
cana-4144	2	13	and	and	CCONJ
cana-4144	2	14	relations	relation	NOUN
cana-4144	2	15	sankar	sankar	NOUN
cana-4144	2	16	c	c	NOUN
cana-4144	2	17	1	1	NUM
cana-4144	2	18	*	*	PUNCT
cana-4144	2	19	,	,	PUNCT
cana-4144	2	20	kalaivani	kalaivani	PROPN
cana-4144	2	21	c	c	PROPN
cana-4144	2	22	2	2	NUM
cana-4144	2	23	,	,	PUNCT
cana-4144	2	24	saravanan	saravanan	PROPN
cana-4144	2	25	m	m	PROPN
cana-4144	2	26	3	3	NUM
cana-4144	2	27	,	,	PUNCT
cana-4144	2	28	sujatha	sujatha	NOUN
cana-4144	2	29	r	r	NOUN
cana-4144	2	30	4	4	NUM
cana-4144	2	31	*	*	SYM
cana-4144	2	32	1	1	NUM
cana-4144	2	33	department	department	NOUN
cana-4144	2	34	of	of	ADP
cana-4144	2	35	mathematics	mathematics	PROPN
cana-4144	2	36	,	,	PUNCT
cana-4144	2	37	st	st	PROPN
cana-4144	2	38	.	.	PROPN
cana-4144	2	39	joseph	joseph	PROPN
cana-4144	2	40	’s	’s	PART
cana-4144	2	41	college	college	PROPN
cana-4144	2	42	of	of	ADP
cana-4144	2	43	engineering	engineering	PROPN
cana-4144	2	44	,	,	PUNCT
cana-4144	2	45	chennai	chennai	PROPN
cana-4144	2	46	,	,	PUNCT
cana-4144	2	47	tamilnadu	tamilnadu	NOUN
cana-4144	2	48	,	,	PUNCT
cana-4144	2	49	india	india	PROPN
cana-4144	2	50	,	,	PUNCT
cana-4144	2	51	email	email	NOUN
cana-4144	2	52	:	:	PUNCT
cana-4144	2	53	csankar26@gmail.com	csankar26@gmail.com	X
cana-4144	2	54	2	2	NUM
cana-4144	2	55	department	department	NOUN
cana-4144	2	56	of	of	ADP
cana-4144	2	57	mathematics	mathematics	PROPN
cana-4144	2	58	,	,	PUNCT
cana-4144	2	59	ssn	ssn	PROPN
cana-4144	2	60	college	college	PROPN
cana-4144	2	61	of	of	ADP
cana-4144	2	62	engineering	engineering	PROPN
cana-4144	2	63	,	,	PUNCT
cana-4144	2	64	chennai	chennai	PROPN
cana-4144	2	65	,	,	PUNCT
cana-4144	2	66	tamilnadu	tamilnadu	NOUN
cana-4144	2	67	,	,	PUNCT
cana-4144	2	68	india	india	PROPN
cana-4144	2	69	,	,	PUNCT
cana-4144	2	70	email	email	NOUN
cana-4144	2	71	:	:	PUNCT
cana-4144	2	72	kalaivanic@ssn.edu.in	kalaivanic@ssn.edu.in	NOUN
cana-4144	2	73	3	3	NUM
cana-4144	2	74	pg	pg	NOUN
cana-4144	2	75	and	and	CCONJ
cana-4144	2	76	research	research	PROPN
cana-4144	2	77	department	department	PROPN
cana-4144	2	78	of	of	ADP
cana-4144	2	79	mathematics	mathematics	PROPN
cana-4144	2	80	,	,	PUNCT
cana-4144	2	81	mannar	mannar	ADJ
cana-4144	2	82	thirumalai	thirumalai	NOUN
cana-4144	2	83	naciker	naciker	ADP
cana-4144	2	84	college	college	PROPN
cana-4144	2	85	,	,	PUNCT
cana-4144	2	86	madurai	madurai	PROPN
cana-4144	2	87	,	,	PUNCT
cana-4144	2	88	tamil	tamil	PROPN
cana-4144	2	89	nadu	nadu	PROPN
cana-4144	2	90	,	,	PUNCT
cana-4144	2	91	india	india	PROPN
cana-4144	2	92	,	,	PUNCT
cana-4144	2	93	email	email	NOUN
cana-4144	2	94	:	:	PUNCT
cana-4144	2	95	msaran81@gmail.com	msaran81@gmail.com	PROPN
cana-4144	2	96	4	4	NUM
cana-4144	2	97	school	school	NOUN
cana-4144	2	98	of	of	ADP
cana-4144	2	99	science	science	NOUN
cana-4144	2	100	and	and	CCONJ
cana-4144	2	101	humanities(mathematics	humanities(mathematic	NOUN
cana-4144	2	102	)	)	PUNCT
cana-4144	2	103	,	,	PUNCT
cana-4144	2	104	shiv	shiv	PROPN
cana-4144	2	105	nadar	nadar	PROPN
cana-4144	2	106	university	university	PROPN
cana-4144	2	107	,	,	PUNCT
cana-4144	2	108	chennai	chennai	PROPN
cana-4144	2	109	,	,	PUNCT
cana-4144	2	110	tamilnadu	tamilnadu	NOUN
cana-4144	2	111	,	,	PUNCT
cana-4144	2	112	india	india	PROPN
cana-4144	2	113	,	,	PUNCT
cana-4144	2	114	email	email	NOUN
cana-4144	2	115	:	:	PUNCT
cana-4144	2	116	sujathar@snuchennai.edu.in	sujathar@snuchennai.edu.in	NOUN
cana-4144	2	117	article	article	NOUN
cana-4144	2	118	history	history	NOUN
cana-4144	2	119	:	:	PUNCT
cana-4144	2	120	received	receive	VERB
cana-4144	2	121	:	:	PUNCT
cana-4144	2	122	12	12	NUM
cana-4144	2	123	-	-	SYM
cana-4144	2	124	01	01	NUM
cana-4144	2	125	-	-	PUNCT
cana-4144	2	126	2025	2025	NUM
cana-4144	2	127	revised	revise	VERB
cana-4144	2	128	:	:	PUNCT
cana-4144	2	129	15	15	NUM
cana-4144	2	130	-	-	NUM
cana-4144	2	131	02	02	NUM
cana-4144	2	132	-	-	PUNCT
cana-4144	2	133	2025	2025	NUM
cana-4144	2	134	accepted	accept	VERB
cana-4144	2	135	:	:	PUNCT
cana-4144	2	136	01	01	NUM
cana-4144	2	137	-	-	SYM
cana-4144	2	138	03	03	NUM
cana-4144	2	139	-	-	PUNCT
cana-4144	2	140	2025	2025	NUM
cana-4144	2	141	abstract	abstract	NOUN
cana-4144	2	142	:	:	PUNCT
cana-4144	2	143	introduction	introduction	NOUN
cana-4144	2	144	:	:	PUNCT
cana-4144	2	145	signed	sign	VERB
cana-4144	2	146	fuzzy	fuzzy	ADJ
cana-4144	2	147	sets	set	NOUN
cana-4144	2	148	are	be	AUX
cana-4144	2	149	defined	define	VERB
cana-4144	2	150	and	and	CCONJ
cana-4144	2	151	illustrated	illustrate	VERB
cana-4144	2	152	in	in	ADP
cana-4144	2	153	this	this	DET
cana-4144	2	154	article	article	NOUN
cana-4144	2	155	.	.	PUNCT
cana-4144	3	1	definitions	definition	NOUN
cana-4144	3	2	are	be	AUX
cana-4144	3	3	given	give	VERB
cana-4144	3	4	for	for	ADP
cana-4144	3	5	the	the	DET
cana-4144	3	6	union	union	NOUN
cana-4144	3	7	and	and	CCONJ
cana-4144	3	8	intersection	intersection	NOUN
cana-4144	3	9	of	of	ADP
cana-4144	3	10	signed	sign	VERB
cana-4144	3	11	fuzzy	fuzzy	ADJ
cana-4144	3	12	sets	set	NOUN
cana-4144	3	13	,	,	PUNCT
cana-4144	3	14	the	the	DET
cana-4144	3	15	inclusion	inclusion	NOUN
cana-4144	3	16	of	of	ADP
cana-4144	3	17	two	two	NUM
cana-4144	3	18	signed	sign	VERB
cana-4144	3	19	fuzzy	fuzzy	ADJ
cana-4144	3	20	sets	set	NOUN
cana-4144	3	21	in	in	ADP
cana-4144	3	22	a	a	DET
cana-4144	3	23	signed	sign	VERB
cana-4144	3	24	fuzzy	fuzzy	ADJ
cana-4144	3	25	set	set	NOUN
cana-4144	3	26	,	,	PUNCT
cana-4144	3	27	and	and	CCONJ
cana-4144	3	28	the	the	DET
cana-4144	3	29	collection	collection	NOUN
cana-4144	3	30	of	of	ADP
cana-4144	3	31	signed	sign	VERB
cana-4144	3	32	fuzzy	fuzzy	ADJ
cana-4144	3	33	sets	set	NOUN
cana-4144	3	34	.	.	PUNCT
cana-4144	4	1	we	we	PRON
cana-4144	4	2	also	also	ADV
cana-4144	4	3	describe	describe	VERB
cana-4144	4	4	how	how	SCONJ
cana-4144	4	5	a	a	DET
cana-4144	4	6	list	list	NOUN
cana-4144	4	7	of	of	ADP
cana-4144	4	8	items	item	NOUN
cana-4144	4	9	and	and	CCONJ
cana-4144	4	10	an	an	DET
cana-4144	4	11	arbitrary	arbitrary	ADJ
cana-4144	4	12	signed	sign	VERB
cana-4144	4	13	fuzzy	fuzzy	ADJ
cana-4144	4	14	set	set	NOUN
cana-4144	4	15	can	can	AUX
cana-4144	4	16	intersect	intersect	VERB
cana-4144	4	17	and	and	CCONJ
cana-4144	4	18	union	union	NOUN
cana-4144	4	19	.	.	PUNCT
cana-4144	5	1	some	some	PRON
cana-4144	5	2	of	of	ADP
cana-4144	5	3	the	the	DET
cana-4144	5	4	aspects	aspect	NOUN
cana-4144	5	5	of	of	ADP
cana-4144	5	6	signed	sign	VERB
cana-4144	5	7	-	-	PUNCT
cana-4144	5	8	frs	frs	PROPN
cana-4144	5	9	are	be	AUX
cana-4144	5	10	described	describe	VERB
cana-4144	5	11	,	,	PUNCT
cana-4144	5	12	along	along	ADP
cana-4144	5	13	with	with	ADP
cana-4144	5	14	their	their	PRON
cana-4144	5	15	definition	definition	NOUN
cana-4144	5	16	,	,	PUNCT
cana-4144	5	17	composition	composition	NOUN
cana-4144	5	18	of	of	ADP
cana-4144	5	19	two	two	NUM
cana-4144	5	20	signed	sign	VERB
cana-4144	5	21	-	-	PUNCT
cana-4144	5	22	frs	frs	ADJ
cana-4144	5	23	,	,	PUNCT
cana-4144	5	24	and	and	CCONJ
cana-4144	5	25	inverse	inverse	NOUN
cana-4144	5	26	.	.	PUNCT
cana-4144	6	1	the	the	DET
cana-4144	6	2	notion	notion	NOUN
cana-4144	6	3	of	of	ADP
cana-4144	6	4	semiotic	semiotic	ADJ
cana-4144	6	5	fuzzy	fuzzy	ADJ
cana-4144	6	6	relations	relation	NOUN
cana-4144	6	7	that	that	PRON
cana-4144	6	8	are	be	AUX
cana-4144	6	9	reflexive	reflexive	ADJ
cana-4144	6	10	,	,	PUNCT
cana-4144	6	11	transitive	transitive	ADJ
cana-4144	6	12	,	,	PUNCT
cana-4144	6	13	and	and	CCONJ
cana-4144	6	14	symmetric	symmetric	NOUN
cana-4144	6	15	is	be	AUX
cana-4144	6	16	suggested	suggest	VERB
cana-4144	6	17	.	.	PUNCT
cana-4144	7	1	we	we	PRON
cana-4144	7	2	talk	talk	VERB
cana-4144	7	3	about	about	ADP
cana-4144	7	4	$	$	SYM
cana-4144	7	5	\alpha$-cut	\alpha$-cut	VERB
cana-4144	7	6	,	,	PUNCT
cana-4144	7	7	strong	strong	ADJ
cana-4144	7	8			NOUN
cana-4144	7	9	−	−	NOUN
cana-4144	7	10	cut	cut	NOUN
cana-4144	7	11	,	,	PUNCT
cana-4144	7	12	and	and	CCONJ
cana-4144	7	13	some	some	PRON
cana-4144	7	14	of	of	ADP
cana-4144	7	15	its	its	PRON
cana-4144	7	16	characteristics	characteristic	NOUN
cana-4144	7	17	.	.	PUNCT
cana-4144	8	1	keywords	keyword	NOUN
cana-4144	8	2	:	:	PUNCT
cana-4144	8	3	signed	sign	VERB
cana-4144	8	4	fuzzy	fuzzy	ADJ
cana-4144	8	5	set	set	NOUN
cana-4144	8	6	(	(	PUNCT
cana-4144	8	7	sfs	sfs	PROPN
cana-4144	8	8	)	)	PUNCT
cana-4144	8	9	,	,	PUNCT
cana-4144	8	10	signed	sign	VERB
cana-4144	8	11	fuzzy	fuzzy	ADJ
cana-4144	8	12	relation(signed	relation(signe	VERB
cana-4144	8	13	-	-	PUNCT
cana-4144	8	14	fr	fr	NOUN
cana-4144	8	15	)	)	PUNCT
cana-4144	8	16	,	,	PUNCT
cana-4144	8	17	signed	sign	VERB
cana-4144	8	18	fuzzy	fuzzy	ADJ
cana-4144	8	19	equivalence	equivalence	NOUN
cana-4144	8	20	relation	relation	NOUN
cana-4144	8	21	.	.	PUNCT
cana-4144	9	1	1	1	X
cana-4144	9	2	.	.	X
cana-4144	9	3	introduction	introduction	NOUN
cana-4144	9	4	the	the	DET
cana-4144	9	5	range	range	NOUN
cana-4144	9	6			ADJ
cana-4144	9	7	0,1	0,1	NOUN
cana-4144	9	8	contains	contain	VERB
cana-4144	9	9	the	the	DET
cana-4144	9	10	fuzzy	fuzzy	ADJ
cana-4144	9	11	membership	membership	NOUN
cana-4144	9	12	values	value	NOUN
cana-4144	9	13	.	.	PUNCT
cana-4144	10	1	when	when	SCONJ
cana-4144	10	2	the	the	DET
cana-4144	10	3	property	property	NOUN
cana-4144	10	4	is	be	AUX
cana-4144	10	5	not	not	PART
cana-4144	10	6	present	present	ADJ
cana-4144	10	7	,	,	PUNCT
cana-4144	10	8	a	a	DET
cana-4144	10	9	membership	membership	NOUN
cana-4144	10	10	value	value	NOUN
cana-4144	10	11	of	of	ADP
cana-4144	10	12	zero	zero	NUM
cana-4144	10	13	is	be	AUX
cana-4144	10	14	allocated	allocate	VERB
cana-4144	10	15	.	.	PUNCT
cana-4144	11	1	if	if	SCONJ
cana-4144	11	2	an	an	DET
cana-4144	11	3	extra	extra	ADJ
cana-4144	11	4	attribute	attribute	NOUN
cana-4144	11	5	,	,	PUNCT
cana-4144	11	6	such	such	ADJ
cana-4144	11	7	acceptance	acceptance	NOUN
cana-4144	11	8	or	or	CCONJ
cana-4144	11	9	resistance	resistance	NOUN
cana-4144	11	10	,	,	PUNCT
cana-4144	11	11	is	be	AUX
cana-4144	11	12	desired	desire	VERB
cana-4144	11	13	when	when	SCONJ
cana-4144	11	14	converting	convert	VERB
cana-4144	11	15	a	a	DET
cana-4144	11	16	real	real	ADJ
cana-4144	11	17	-	-	PUNCT
cana-4144	11	18	life	life	NOUN
cana-4144	11	19	problem	problem	NOUN
cana-4144	11	20	,	,	PUNCT
cana-4144	11	21	we	we	PRON
cana-4144	11	22	might	might	AUX
cana-4144	11	23	incorporate	incorporate	VERB
cana-4144	11	24	a	a	DET
cana-4144	11	25	positive	positive	ADJ
cana-4144	11	26	or	or	CCONJ
cana-4144	11	27	negative	negative	ADJ
cana-4144	11	28	sign	sign	NOUN
cana-4144	11	29	with	with	ADP
cana-4144	11	30	the	the	DET
cana-4144	11	31	membership	membership	NOUN
cana-4144	11	32	values	value	NOUN
cana-4144	11	33	,	,	PUNCT
cana-4144	11	34	respectively	respectively	ADV
cana-4144	11	35	.	.	PUNCT
cana-4144	12	1	this	this	DET
cana-4144	12	2	symbol	symbol	NOUN
cana-4144	12	3	shows	show	VERB
cana-4144	12	4	that	that	SCONJ
cana-4144	12	5	we	we	PRON
cana-4144	12	6	are	be	AUX
cana-4144	12	7	taking	take	VERB
cana-4144	12	8	into	into	ADP
cana-4144	12	9	account	account	NOUN
cana-4144	12	10	the	the	DET
cana-4144	12	11	value	value	NOUN
cana-4144	12	12	of	of	ADP
cana-4144	12	13	membership	membership	NOUN
cana-4144	12	14	in	in	ADP
cana-4144	12	15	addition	addition	NOUN
cana-4144	12	16	to	to	ADP
cana-4144	12	17	other	other	ADJ
cana-4144	12	18	characteristics	characteristic	NOUN
cana-4144	12	19	that	that	PRON
cana-4144	12	20	determine	determine	VERB
cana-4144	12	21	acceptance	acceptance	NOUN
cana-4144	12	22	or	or	CCONJ
cana-4144	12	23	rejection	rejection	NOUN
cana-4144	12	24	.	.	PUNCT
cana-4144	13	1	imagine	imagine	VERB
cana-4144	13	2	a	a	DET
cana-4144	13	3	scenario	scenario	NOUN
cana-4144	13	4	in	in	ADP
cana-4144	13	5	which	which	PRON
cana-4144	13	6	the	the	DET
cana-4144	13	7	government	government	NOUN
cana-4144	13	8	want	want	VERB
cana-4144	13	9	to	to	PART
cana-4144	13	10	prolong	prolong	VERB
cana-4144	13	11	a	a	DET
cana-4144	13	12	project	project	NOUN
cana-4144	13	13	and	and	CCONJ
cana-4144	13	14	there	there	PRON
cana-4144	13	15	are	be	VERB
cana-4144	13	16	both	both	DET
cana-4144	13	17	proponents	proponent	NOUN
cana-4144	13	18	and	and	CCONJ
cana-4144	13	19	opponents	opponent	NOUN
cana-4144	13	20	of	of	ADP
cana-4144	13	21	the	the	DET
cana-4144	13	22	project	project	NOUN
cana-4144	13	23	.	.	PUNCT
cana-4144	14	1	a	a	DET
cana-4144	14	2	positive	positive	ADJ
cana-4144	14	3	sign	sign	NOUN
cana-4144	14	4	indicates	indicate	VERB
cana-4144	14	5	support	support	NOUN
cana-4144	14	6	,	,	PUNCT
cana-4144	14	7	and	and	CCONJ
cana-4144	14	8	a	a	DET
cana-4144	14	9	negative	negative	ADJ
cana-4144	14	10	one	one	NOUN
cana-4144	14	11	indicates	indicate	VERB
cana-4144	14	12	opposition	opposition	NOUN
cana-4144	14	13	.	.	PUNCT
cana-4144	15	1	the	the	DET
cana-4144	15	2	values	value	NOUN
cana-4144	15	3	of	of	ADP
cana-4144	15	4	membership	membership	NOUN
cana-4144	15	5	have	have	VERB
cana-4144	15	6	no	no	DET
cana-4144	15	7	bearing	bearing	NOUN
cana-4144	15	8	on	on	ADP
cana-4144	15	9	these	these	DET
cana-4144	15	10	indicators	indicator	NOUN
cana-4144	15	11	.	.	PUNCT
cana-4144	16	1	the	the	DET
cana-4144	16	2	signed	sign	VERB
cana-4144	16	3	-	-	PUNCT
cana-4144	16	4	fr	fr	NOUN
cana-4144	16	5	extends	extend	VERB
cana-4144	16	6	the	the	DET
cana-4144	16	7	idea	idea	NOUN
cana-4144	16	8	of	of	ADP
cana-4144	16	9	a	a	DET
cana-4144	16	10	fuzzy	fuzzy	ADJ
cana-4144	16	11	set	set	NOUN
cana-4144	16	12	.	.	PUNCT
cana-4144	17	1	membership	membership	NOUN
cana-4144	17	2	values	value	NOUN
cana-4144	17	3	in	in	ADP
cana-4144	17	4	a	a	DET
cana-4144	17	5	signed	sign	VERB
cana-4144	17	6	-	-	PUNCT
cana-4144	17	7	fr	fr	NOUN
cana-4144	17	8	can	can	AUX
cana-4144	17	9	be	be	AUX
cana-4144	17	10	between	between	ADP
cana-4144	17	11	-1	-1	PUNCT
cana-4144	17	12	and	and	CCONJ
cana-4144	17	13	1	1	X
cana-4144	17	14	.	.	X
cana-4144	18	1	a	a	DET
cana-4144	18	2	member	member	NOUN
cana-4144	18	3	who	who	PRON
cana-4144	18	4	objects	object	VERB
cana-4144	18	5	to	to	ADP
cana-4144	18	6	the	the	DET
cana-4144	18	7	necessary	necessary	ADJ
cana-4144	18	8	property	property	NOUN
cana-4144	18	9	is	be	AUX
cana-4144	18	10	given	give	VERB
cana-4144	18	11	a	a	DET
cana-4144	18	12	membership	membership	NOUN
cana-4144	18	13	value	value	NOUN
cana-4144	18	14	of	of	ADP
cana-4144	18	15	-1	-1	PUNCT
cana-4144	18	16	.	.	PUNCT
cana-4144	19	1	better	well	ADJ
cana-4144	19	2	data	datum	NOUN
cana-4144	19	3	interpretation	interpretation	NOUN
cana-4144	19	4	and	and	CCONJ
cana-4144	19	5	mathematical	mathematical	ADJ
cana-4144	19	6	modelling	modelling	NOUN
cana-4144	19	7	are	be	AUX
cana-4144	19	8	mailto:csankar26@gmail.com	mailto:csankar26@gmail.com	PROPN
cana-4144	19	9	mailto	mailto	PROPN
cana-4144	19	10	:	:	PUNCT
cana-4144	19	11	msaran	msaran	PROPN
cana-4144	19	12	mailto:81@gmail.com	mailto:81@gmail.com	PROPN
cana-4144	19	13	mailto:sujathar@snuchennai.edu.in	mailto:sujathar@snuchennai.edu.in	PROPN
cana-4144	19	14	communications	communication	NOUN
cana-4144	19	15	on	on	ADP
cana-4144	19	16	applied	apply	VERB
cana-4144	19	17	nonlinear	nonlinear	ADJ
cana-4144	19	18	analysis	analysis	NOUN
cana-4144	19	19	issn	issn	NOUN
cana-4144	19	20	:	:	PUNCT
cana-4144	19	21	1074	1074	NUM
cana-4144	19	22	-	-	PUNCT
cana-4144	19	23	133x	133x	NUM
cana-4144	19	24	vol	vol	NOUN
cana-4144	19	25	x	x	NOUN
cana-4144	19	26	no	no	INTJ
cana-4144	19	27	.	.	PUNCT
cana-4144	20	1	y	y	PROPN
cana-4144	20	2	(	(	PUNCT
cana-4144	20	3	2025	2025	NUM
cana-4144	20	4	)	)	PUNCT
cana-4144	20	5	1333	1333	NUM
cana-4144	20	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	20	7	made	make	VERB
cana-4144	20	8	possible	possible	ADJ
cana-4144	20	9	by	by	ADP
cana-4144	20	10	this	this	DET
cana-4144	20	11	method	method	NOUN
cana-4144	20	12	,	,	PUNCT
cana-4144	20	13	which	which	PRON
cana-4144	20	14	addresses	address	VERB
cana-4144	20	15	both	both	CCONJ
cana-4144	20	16	the	the	DET
cana-4144	20	17	advantages	advantage	NOUN
cana-4144	20	18	and	and	CCONJ
cana-4144	20	19	disadvantages	disadvantage	NOUN
cana-4144	20	20	.	.	PUNCT
cana-4144	21	1	all	all	DET
cana-4144	21	2	positive	positive	ADJ
cana-4144	21	3	degree	degree	NOUN
cana-4144	21	4	values	value	NOUN
cana-4144	21	5	,	,	PUNCT
cana-4144	21	6	indeterminacy	indeterminacy	NOUN
cana-4144	21	7	,	,	PUNCT
cana-4144	21	8	and	and	CCONJ
cana-4144	21	9	membership	membership	NOUN
cana-4144	21	10	values	value	NOUN
cana-4144	21	11	for	for	ADP
cana-4144	21	12	non	non	ADJ
cana-4144	21	13	-	-	ADJ
cana-4144	21	14	membership	membership	NOUN
cana-4144	21	15	are	be	AUX
cana-4144	21	16	included	include	VERB
cana-4144	21	17	.	.	PUNCT
cana-4144	22	1	for	for	ADP
cana-4144	22	2	example	example	NOUN
cana-4144	22	3	,	,	PUNCT
cana-4144	22	4	let	let	VERB
cana-4144	22	5	's	us	PRON
cana-4144	22	6	look	look	VERB
cana-4144	22	7	at	at	ADP
cana-4144	22	8	the	the	DET
cana-4144	22	9	answer	answer	NOUN
cana-4144	22	10	to	to	ADP
cana-4144	22	11	the	the	DET
cana-4144	22	12	question	question	NOUN
cana-4144	22	13	,	,	PUNCT
cana-4144	22	14	"	"	PUNCT
cana-4144	22	15	how	how	SCONJ
cana-4144	22	16	are	be	AUX
cana-4144	22	17	you	you	PRON
cana-4144	22	18	?	?	PUNCT
cana-4144	22	19	"	"	PUNCT
cana-4144	22	20	we	we	PRON
cana-4144	22	21	can	can	AUX
cana-4144	22	22	represent	represent	VERB
cana-4144	22	23	the	the	DET
cana-4144	22	24	response	response	NOUN
cana-4144	22	25	in	in	ADP
cana-4144	22	26	a	a	DET
cana-4144	22	27	crisp	crisp	ADJ
cana-4144	22	28	set	set	NOUN
cana-4144	22	29	if	if	SCONJ
cana-4144	22	30	it	it	PRON
cana-4144	22	31	is	be	AUX
cana-4144	22	32	either	either	CCONJ
cana-4144	22	33	"	"	PUNCT
cana-4144	22	34	i	i	PRON
cana-4144	22	35	am	be	AUX
cana-4144	22	36	okay	okay	ADJ
cana-4144	22	37	"	"	PUNCT
cana-4144	22	38	or	or	CCONJ
cana-4144	22	39	"	"	PUNCT
cana-4144	22	40	i	i	PRON
cana-4144	22	41	am	be	AUX
cana-4144	22	42	not	not	PART
cana-4144	22	43	okay	okay	ADJ
cana-4144	22	44	.	.	PUNCT
cana-4144	22	45	"	"	PUNCT
cana-4144	23	1	the	the	DET
cana-4144	23	2	response	response	NOUN
cana-4144	23	3	"	"	PUNCT
cana-4144	23	4	i	i	PRON
cana-4144	23	5	am	be	AUX
cana-4144	23	6	somewhat	somewhat	ADV
cana-4144	23	7	okay	okay	ADJ
cana-4144	23	8	"	"	PUNCT
cana-4144	23	9	can	can	AUX
cana-4144	23	10	be	be	AUX
cana-4144	23	11	represented	represent	VERB
cana-4144	23	12	as	as	ADP
cana-4144	23	13	a	a	DET
cana-4144	23	14	fuzzy	fuzzy	ADJ
cana-4144	23	15	set	set	NOUN
cana-4144	23	16	.	.	PUNCT
cana-4144	24	1	if	if	SCONJ
cana-4144	24	2	the	the	DET
cana-4144	24	3	response	response	NOUN
cana-4144	24	4	is	be	AUX
cana-4144	24	5	"	"	PUNCT
cana-4144	24	6	i	i	PRON
cana-4144	24	7	am	be	AUX
cana-4144	24	8	okay	okay	ADJ
cana-4144	24	9	,	,	PUNCT
cana-4144	24	10	but	but	CCONJ
cana-4144	24	11	i	i	PRON
cana-4144	24	12	have	have	VERB
cana-4144	24	13	some	some	DET
cana-4144	24	14	problems	problem	NOUN
cana-4144	24	15	,	,	PUNCT
cana-4144	24	16	"	"	PUNCT
cana-4144	24	17	a	a	DET
cana-4144	24	18	signed	sign	VERB
cana-4144	24	19	-	-	PUNCT
cana-4144	24	20	fr	fr	NOUN
cana-4144	24	21	can	can	AUX
cana-4144	24	22	be	be	AUX
cana-4144	24	23	used	use	VERB
cana-4144	24	24	to	to	PART
cana-4144	24	25	model	model	VERB
cana-4144	24	26	it	it	PRON
cana-4144	24	27	.	.	PUNCT
cana-4144	25	1	in	in	ADP
cana-4144	25	2	a	a	DET
cana-4144	25	3	fuzzy	fuzzy	ADJ
cana-4144	25	4	set	set	NOUN
cana-4144	25	5	,	,	PUNCT
cana-4144	25	6	the	the	DET
cana-4144	25	7	loss	loss	NOUN
cana-4144	25	8	may	may	AUX
cana-4144	25	9	have	have	VERB
cana-4144	25	10	a	a	DET
cana-4144	25	11	membership	membership	NOUN
cana-4144	25	12	value	value	NOUN
cana-4144	25	13	of	of	ADP
cana-4144	25	14	zero	zero	NUM
cana-4144	25	15	when	when	SCONJ
cana-4144	25	16	translating	translate	VERB
cana-4144	25	17	profit	profit	NOUN
cana-4144	25	18	and	and	CCONJ
cana-4144	25	19	loss	loss	NOUN
cana-4144	25	20	problems	problem	NOUN
cana-4144	25	21	.	.	PUNCT
cana-4144	26	1	negative	negative	ADJ
cana-4144	26	2	values	value	NOUN
cana-4144	26	3	lose	lose	VERB
cana-4144	26	4	their	their	PRON
cana-4144	26	5	relevance	relevance	NOUN
cana-4144	26	6	in	in	ADP
cana-4144	26	7	this	this	DET
cana-4144	26	8	method	method	NOUN
cana-4144	26	9	,	,	PUNCT
cana-4144	26	10	though	though	ADV
cana-4144	26	11	.	.	PUNCT
cana-4144	27	1	three	three	NUM
cana-4144	27	2	cases	case	NOUN
cana-4144	27	3	can	can	AUX
cana-4144	27	4	be	be	AUX
cana-4144	27	5	defined	define	VERB
cana-4144	27	6	:	:	PUNCT
cana-4144	27	7	normal	normal	ADJ
cana-4144	27	8	,	,	PUNCT
cana-4144	27	9	low	low	ADJ
cana-4144	27	10	,	,	PUNCT
cana-4144	27	11	and	and	CCONJ
cana-4144	27	12	high	high	ADJ
cana-4144	27	13	.	.	PUNCT
cana-4144	28	1	the	the	DET
cana-4144	28	2	membership	membership	NOUN
cana-4144	28	3	values	value	NOUN
cana-4144	28	4	can	can	AUX
cana-4144	28	5	be	be	AUX
cana-4144	28	6	set	set	VERB
cana-4144	28	7	to	to	ADP
cana-4144	28	8	0	0	NUM
cana-4144	28	9	,	,	PUNCT
cana-4144	28	10	-1	-1	ADJ
cana-4144	28	11	,	,	PUNCT
cana-4144	28	12	and	and	CCONJ
cana-4144	28	13	1	1	NUM
cana-4144	28	14	,	,	PUNCT
cana-4144	28	15	respectively	respectively	ADV
cana-4144	28	16	.	.	PUNCT
cana-4144	29	1	assigning	assign	VERB
cana-4144	29	2	membership	membership	NOUN
cana-4144	29	3	values	value	NOUN
cana-4144	29	4	from	from	ADP
cana-4144	29	5	[	[	X
cana-4144	29	6	–	–	PUNCT
cana-4144	29	7	1	1	NUM
cana-4144	29	8	,	,	PUNCT
cana-4144	29	9	1	1	NUM
cana-4144	29	10	]	]	PUNCT
cana-4144	29	11	is	be	AUX
cana-4144	29	12	possible	possible	ADJ
cana-4144	29	13	if	if	SCONJ
cana-4144	29	14	we	we	PRON
cana-4144	29	15	take	take	VERB
cana-4144	29	16	into	into	ADP
cana-4144	29	17	account	account	NOUN
cana-4144	29	18	the	the	DET
cana-4144	29	19	range	range	NOUN
cana-4144	29	20	from	from	ADP
cana-4144	29	21	low	low	ADJ
cana-4144	29	22	to	to	ADP
cana-4144	29	23	high	high	ADJ
cana-4144	29	24	,	,	PUNCT
cana-4144	29	25	for	for	ADP
cana-4144	29	26	example	example	NOUN
cana-4144	29	27	,	,	PUNCT
cana-4144	29	28	from	from	ADP
cana-4144	29	29	loss	loss	NOUN
cana-4144	29	30	to	to	PART
cana-4144	29	31	profit	profit	VERB
cana-4144	29	32	.	.	PUNCT
cana-4144	30	1	signed	sign	VERB
cana-4144	30	2	-	-	PUNCT
cana-4144	30	3	frs	frs	PROPN
cana-4144	30	4	are	be	AUX
cana-4144	30	5	the	the	DET
cana-4144	30	6	name	name	NOUN
cana-4144	30	7	given	give	VERB
cana-4144	30	8	to	to	ADP
cana-4144	30	9	certain	certain	ADJ
cana-4144	30	10	kinds	kind	NOUN
cana-4144	30	11	of	of	ADP
cana-4144	30	12	fuzzy	fuzzy	ADJ
cana-4144	30	13	sets	set	NOUN
cana-4144	30	14	.	.	PUNCT
cana-4144	31	1	in	in	ADP
cana-4144	31	2	1965	1965	NUM
cana-4144	31	3	,	,	PUNCT
cana-4144	31	4	zadeh	zadeh	PROPN
cana-4144	31	5	first	first	ADV
cana-4144	31	6	introduced	introduce	VERB
cana-4144	31	7	the	the	DET
cana-4144	31	8	concept	concept	NOUN
cana-4144	31	9	of	of	ADP
cana-4144	31	10	a	a	DET
cana-4144	31	11	fuzzy	fuzzy	ADJ
cana-4144	31	12	set	set	NOUN
cana-4144	31	13	as	as	ADP
cana-4144	31	14	a	a	DET
cana-4144	31	15	way	way	NOUN
cana-4144	31	16	to	to	PART
cana-4144	31	17	generalize	generalize	VERB
cana-4144	31	18	a	a	DET
cana-4144	31	19	crisp	crisp	ADJ
cana-4144	31	20	set	set	NOUN
cana-4144	31	21	.	.	PUNCT
cana-4144	32	1	in	in	ADP
cana-4144	32	2	order	order	NOUN
cana-4144	32	3	to	to	PART
cana-4144	32	4	tackle	tackle	VERB
cana-4144	32	5	the	the	DET
cana-4144	32	6	imprecision	imprecision	NOUN
cana-4144	32	7	inherent	inherent	ADJ
cana-4144	32	8	in	in	ADP
cana-4144	32	9	numerous	numerous	ADJ
cana-4144	32	10	real	real	ADJ
cana-4144	32	11	-	-	PUNCT
cana-4144	32	12	world	world	NOUN
cana-4144	32	13	issues	issue	NOUN
cana-4144	32	14	,	,	PUNCT
cana-4144	32	15	zadeh	zadeh	PROPN
cana-4144	32	16	created	create	VERB
cana-4144	32	17	the	the	DET
cana-4144	32	18	notions	notion	NOUN
cana-4144	32	19	of	of	ADP
cana-4144	32	20	fuzzy	fuzzy	ADJ
cana-4144	32	21	sets	set	NOUN
cana-4144	32	22	,	,	PUNCT
cana-4144	32	23	fuzzy	fuzzy	ADJ
cana-4144	32	24	orderings	ordering	NOUN
cana-4144	32	25	,	,	PUNCT
cana-4144	32	26	and	and	CCONJ
cana-4144	32	27	similarity	similarity	NOUN
cana-4144	32	28	relations	relation	NOUN
cana-4144	32	29	in	in	ADP
cana-4144	32	30	1971	1971	NUM
cana-4144	32	31	.	.	PUNCT
cana-4144	33	1	partial	partial	ADJ
cana-4144	33	2	orderings	ordering	NOUN
cana-4144	33	3	and	and	CCONJ
cana-4144	33	4	sharp	sharp	ADJ
cana-4144	33	5	equivalence	equivalence	NOUN
cana-4144	33	6	relations	relation	NOUN
cana-4144	33	7	,	,	PUNCT
cana-4144	33	8	which	which	PRON
cana-4144	33	9	are	be	AUX
cana-4144	33	10	essential	essential	ADJ
cana-4144	33	11	ideas	idea	NOUN
cana-4144	33	12	in	in	ADP
cana-4144	33	13	many	many	ADJ
cana-4144	33	14	fields	field	NOUN
cana-4144	33	15	of	of	ADP
cana-4144	33	16	pure	pure	ADJ
cana-4144	33	17	and	and	CCONJ
cana-4144	33	18	applied	apply	VERB
cana-4144	33	19	science	science	NOUN
cana-4144	33	20	,	,	PUNCT
cana-4144	33	21	were	be	AUX
cana-4144	33	22	generalized	generalize	VERB
cana-4144	33	23	in	in	ADP
cana-4144	33	24	these	these	DET
cana-4144	33	25	ways	way	NOUN
cana-4144	33	26	.	.	PUNCT
cana-4144	34	1	since	since	SCONJ
cana-4144	34	2	then	then	ADV
cana-4144	34	3	,	,	PUNCT
cana-4144	34	4	a	a	DET
cana-4144	34	5	lot	lot	NOUN
cana-4144	34	6	of	of	ADP
cana-4144	34	7	researchers	researcher	NOUN
cana-4144	34	8	have	have	AUX
cana-4144	34	9	looked	look	VERB
cana-4144	34	10	into	into	ADP
cana-4144	34	11	fuzzy	fuzzy	ADJ
cana-4144	34	12	relations	relation	NOUN
cana-4144	34	13	.	.	PUNCT
cana-4144	35	1	dib	dib	PROPN
cana-4144	35	2	and	and	CCONJ
cana-4144	35	3	youssef	youssef	PROPN
cana-4144	35	4	defined	define	VERB
cana-4144	35	5	the	the	DET
cana-4144	35	6	fuzzy	fuzzy	ADJ
cana-4144	35	7	cartesian	cartesian	ADJ
cana-4144	35	8	product	product	NOUN
cana-4144	35	9	of	of	ADP
cana-4144	35	10	two	two	NUM
cana-4144	35	11	ordinary	ordinary	ADJ
cana-4144	35	12	sets	set	NOUN
cana-4144	35	13	,	,	PUNCT
cana-4144	35	14	x	x	PUNCT
cana-4144	35	15	and	and	CCONJ
cana-4144	35	16	y	y	PROPN
cana-4144	35	17	,	,	PUNCT
cana-4144	35	18	as	as	ADP
cana-4144	35	19	the	the	DET
cana-4144	35	20	set	set	NOUN
cana-4144	35	21	of	of	ADP
cana-4144	35	22	all	all	DET
cana-4144	35	23	l	l	ADJ
cana-4144	35	24	-	-	ADJ
cana-4144	35	25	fuzzy	fuzzy	ADJ
cana-4144	35	26	sets	set	NOUN
cana-4144	35	27	of	of	ADP
cana-4144	35	28	x	x	PUNCT
cana-4144	35	29	y	y	NOUN
cana-4144	35	30	,	,	PUNCT
cana-4144	35	31	where	where	SCONJ
cana-4144	35	32	i	i	PRON
cana-4144	35	33	is	be	AUX
cana-4144	35	34	the	the	DET
cana-4144	35	35	unit	unit	NOUN
cana-4144	35	36	closed	close	VERB
cana-4144	35	37	interval	interval	NOUN
cana-4144	35	38	and	and	CCONJ
cana-4144	35	39	l	l	NOUN
cana-4144	35	40	i	i	PRON
cana-4144	35	41	i=	i=	PROPN
cana-4144	35	42			VERB
cana-4144	35	43	.	.	PUNCT
cana-4144	36	1	specifically	specifically	ADV
cana-4144	36	2	,	,	PUNCT
cana-4144	36	3	lee	lee	PROPN
cana-4144	36	4	used	use	VERB
cana-4144	36	5	the	the	DET
cana-4144	36	6	concept	concept	NOUN
cana-4144	36	7	of	of	ADP
cana-4144	36	8	fuzzy	fuzzy	ADJ
cana-4144	36	9	relations	relation	NOUN
cana-4144	36	10	established	establish	VERB
cana-4144	36	11	by	by	ADP
cana-4144	36	12	dib	dib	PROPN
cana-4144	36	13	and	and	CCONJ
cana-4144	36	14	youssef	youssef	PROPN
cana-4144	36	15	to	to	PART
cana-4144	36	16	reach	reach	VERB
cana-4144	36	17	several	several	ADJ
cana-4144	36	18	results	result	NOUN
cana-4144	36	19	.	.	PUNCT
cana-4144	37	1	in	in	ADP
cana-4144	37	2	1994	1994	NUM
cana-4144	37	3	,	,	PUNCT
cana-4144	37	4	wen	wen	PROPN
cana-4144	37	5	-	-	PUNCT
cana-4144	37	6	ran	run	VERB
cana-4144	37	7	zhang	zhang	PROPN
cana-4144	37	8	studied	study	VERB
cana-4144	37	9	bipolar	bipolar	ADJ
cana-4144	37	10	fuzzy	fuzzy	ADJ
cana-4144	37	11	sets	set	NOUN
cana-4144	37	12	and	and	CCONJ
cana-4144	37	13	relations	relation	NOUN
cana-4144	37	14	,	,	PUNCT
cana-4144	37	15	which	which	PRON
cana-4144	37	16	are	be	AUX
cana-4144	37	17	a	a	DET
cana-4144	37	18	type	type	NOUN
cana-4144	37	19	of	of	ADP
cana-4144	37	20	signed	sign	VERB
cana-4144	37	21	-	-	PUNCT
cana-4144	37	22	fr	fr	NOUN
cana-4144	37	23	.	.	PUNCT
cana-4144	38	1	the	the	DET
cana-4144	38	2	concept	concept	NOUN
cana-4144	38	3	of	of	ADP
cana-4144	38	4	both	both	CCONJ
cana-4144	38	5	positive	positive	ADJ
cana-4144	38	6	and	and	CCONJ
cana-4144	38	7	negative	negative	ADJ
cana-4144	38	8	membership	membership	NOUN
cana-4144	38	9	values	value	NOUN
cana-4144	38	10	was	be	AUX
cana-4144	38	11	introduced	introduce	VERB
cana-4144	38	12	in	in	ADP
cana-4144	38	13	this	this	DET
cana-4144	38	14	work	work	NOUN
cana-4144	38	15	.	.	PUNCT
cana-4144	39	1	gorzalczany	gorzalczany	PROPN
cana-4144	39	2	established	establish	VERB
cana-4144	39	3	the	the	DET
cana-4144	39	4	concept	concept	NOUN
cana-4144	39	5	of	of	ADP
cana-4144	39	6	interval	interval	NOUN
cana-4144	39	7	-	-	PUNCT
cana-4144	39	8	valued	value	VERB
cana-4144	39	9	fuzzy	fuzzy	ADJ
cana-4144	39	10	sets	set	NOUN
cana-4144	39	11	in	in	ADP
cana-4144	39	12	1987	1987	NUM
cana-4144	39	13	.	.	PUNCT
cana-4144	40	1	according	accord	VERB
cana-4144	40	2	to	to	ADP
cana-4144	40	3	atanassov	atanassov	PROPN
cana-4144	40	4	(	(	PUNCT
cana-4144	40	5	1986	1986	NUM
cana-4144	40	6	)	)	PUNCT
cana-4144	40	7	,	,	PUNCT
cana-4144	40	8	intuitionistic	intuitionistic	ADJ
cana-4144	40	9	fuzzy	fuzzy	ADJ
cana-4144	40	10	sets	set	NOUN
cana-4144	40	11	take	take	VERB
cana-4144	40	12	into	into	ADP
cana-4144	40	13	account	account	NOUN
cana-4144	40	14	both	both	PRON
cana-4144	40	15	membership	membership	NOUN
cana-4144	40	16	and	and	CCONJ
cana-4144	40	17	non	non	ADJ
cana-4144	40	18	-	-	ADJ
cana-4144	40	19	membership	membership	ADJ
cana-4144	40	20	values	value	NOUN
cana-4144	40	21	.	.	PUNCT
cana-4144	41	1	a	a	DET
cana-4144	41	2	1991	1991	NUM
cana-4144	41	3	study	study	NOUN
cana-4144	41	4	by	by	ADP
cana-4144	41	5	kaufmann	kaufmann	PROPN
cana-4144	41	6	and	and	CCONJ
cana-4144	41	7	gupta	gupta	PROPN
cana-4144	41	8	examined	examine	VERB
cana-4144	41	9	fuzzy	fuzzy	ADJ
cana-4144	41	10	sets	set	NOUN
cana-4144	41	11	and	and	CCONJ
cana-4144	41	12	associated	associated	ADJ
cana-4144	41	13	methods	method	NOUN
cana-4144	41	14	.	.	PUNCT
cana-4144	42	1	the	the	DET
cana-4144	42	2	use	use	NOUN
cana-4144	42	3	of	of	ADP
cana-4144	42	4	fuzzy	fuzzy	ADJ
cana-4144	42	5	sets	set	NOUN
cana-4144	42	6	in	in	ADP
cana-4144	42	7	relational	relational	ADJ
cana-4144	42	8	databases	database	NOUN
cana-4144	42	9	and	and	CCONJ
cana-4144	42	10	knowledge	knowledge	NOUN
cana-4144	42	11	representation	representation	NOUN
cana-4144	42	12	was	be	AUX
cana-4144	42	13	expanded	expand	VERB
cana-4144	42	14	in	in	ADP
cana-4144	42	15	2004	2004	NUM
cana-4144	42	16	by	by	ADP
cana-4144	42	17	yang	yang	PROPN
cana-4144	42	18	and	and	CCONJ
cana-4144	42	19	singh	singh	PROPN
cana-4144	42	20	with	with	ADP
cana-4144	42	21	the	the	DET
cana-4144	42	22	introduction	introduction	NOUN
cana-4144	42	23	of	of	ADP
cana-4144	42	24	fuzzy	fuzzy	ADJ
cana-4144	42	25	bipolar	bipolar	ADJ
cana-4144	42	26	relational	relational	ADJ
cana-4144	42	27	models	model	NOUN
cana-4144	42	28	.	.	PUNCT
cana-4144	43	1	the	the	DET
cana-4144	43	2	article	article	NOUN
cana-4144	43	3	defines	define	VERB
cana-4144	43	4	a	a	DET
cana-4144	43	5	signed	sign	VERB
cana-4144	43	6	-	-	PUNCT
cana-4144	43	7	fr	fr	NOUN
cana-4144	43	8	and	and	CCONJ
cana-4144	43	9	provides	provide	VERB
cana-4144	43	10	an	an	DET
cana-4144	43	11	example	example	NOUN
cana-4144	43	12	.	.	PUNCT
cana-4144	44	1	signed	sign	VERB
cana-4144	44	2	-	-	PUNCT
cana-4144	44	3	fr	fr	PROPN
cana-4144	44	4	union	union	NOUN
cana-4144	44	5	and	and	CCONJ
cana-4144	44	6	intersection	intersection	NOUN
cana-4144	44	7	,	,	PUNCT
cana-4144	44	8	signedfr	signedfr	NOUN
cana-4144	44	9	complement	complement	NOUN
cana-4144	44	10	,	,	PUNCT
cana-4144	44	11	and	and	CCONJ
cana-4144	44	12	signed	sign	VERB
cana-4144	44	13	-	-	PUNCT
cana-4144	44	14	fr	fr	NOUN
cana-4144	44	15	inclusion	inclusion	NOUN
cana-4144	44	16	between	between	ADP
cana-4144	44	17	two	two	NUM
cana-4144	44	18	signed	sign	VERB
cana-4144	44	19	-	-	PUNCT
cana-4144	44	20	frs	frs	PROPN
cana-4144	44	21	are	be	AUX
cana-4144	44	22	defined	define	VERB
cana-4144	44	23	.	.	PUNCT
cana-4144	45	1	additionally	additionally	ADV
cana-4144	45	2	,	,	PUNCT
cana-4144	45	3	we	we	PRON
cana-4144	45	4	describe	describe	VERB
cana-4144	45	5	the	the	DET
cana-4144	45	6	union	union	NOUN
cana-4144	45	7	and	and	CCONJ
cana-4144	45	8	intersection	intersection	NOUN
cana-4144	45	9	of	of	ADP
cana-4144	45	10	arbitrary	arbitrary	ADJ
cana-4144	45	11	signed	sign	VERB
cana-4144	45	12	-	-	PUNCT
cana-4144	45	13	frs	frs	NOUN
cana-4144	45	14	and	and	CCONJ
cana-4144	45	15	provide	provide	VERB
cana-4144	45	16	a	a	DET
cana-4144	45	17	list	list	NOUN
cana-4144	45	18	of	of	ADP
cana-4144	45	19	their	their	PRON
cana-4144	45	20	properties	property	NOUN
cana-4144	45	21	.	.	PUNCT
cana-4144	46	1	along	along	ADP
cana-4144	46	2	with	with	ADP
cana-4144	46	3	the	the	DET
cana-4144	46	4	terminology	terminology	NOUN
cana-4144	46	5	signed	sign	VERB
cana-4144	46	6	-	-	PUNCT
cana-4144	46	7	fr	fr	NOUN
cana-4144	46	8	,	,	PUNCT
cana-4144	46	9	composition	composition	NOUN
cana-4144	46	10	of	of	ADP
cana-4144	46	11	two	two	NUM
cana-4144	46	12	signed	sign	VERB
cana-4144	46	13	-	-	PUNCT
cana-4144	46	14	frs	frs	ADJ
cana-4144	46	15	,	,	PUNCT
cana-4144	46	16	and	and	CCONJ
cana-4144	46	17	inverse	inverse	NOUN
cana-4144	46	18	of	of	ADP
cana-4144	46	19	an	an	DET
cana-4144	46	20	signed	sign	VERB
cana-4144	46	21	-	-	PUNCT
cana-4144	46	22	fr	fr	NOUN
cana-4144	46	23	,	,	PUNCT
cana-4144	46	24	some	some	PRON
cana-4144	46	25	of	of	ADP
cana-4144	46	26	these	these	DET
cana-4144	46	27	qualities	quality	NOUN
cana-4144	46	28	are	be	AUX
cana-4144	46	29	explored	explore	VERB
cana-4144	46	30	.	.	PUNCT
cana-4144	47	1	we	we	PRON
cana-4144	47	2	present	present	VERB
cana-4144	47	3	the	the	DET
cana-4144	47	4	notions	notion	NOUN
cana-4144	47	5	of	of	ADP
cana-4144	47	6	reflexive	reflexive	ADJ
cana-4144	47	7	,	,	PUNCT
cana-4144	47	8	transitive	transitive	ADJ
cana-4144	47	9	,	,	PUNCT
cana-4144	47	10	and	and	CCONJ
cana-4144	47	11	symmetric	symmetric	ADJ
cana-4144	47	12	signedfrs	signedfrs	NOUN
cana-4144	47	13	.	.	PUNCT
cana-4144	48	1	additionally	additionally	ADV
cana-4144	48	2	discussed	discuss	VERB
cana-4144	48	3	are	be	AUX
cana-4144	48	4			NOUN
cana-4144	48	5	−	−	NOUN
cana-4144	48	6	cut	cut	NOUN
cana-4144	48	7	,	,	PUNCT
cana-4144	48	8	strong	strong	ADJ
cana-4144	48	9			NOUN
cana-4144	48	10	−	−	NOUN
cana-4144	48	11	cut	cut	NOUN
cana-4144	48	12	,	,	PUNCT
cana-4144	48	13	and	and	CCONJ
cana-4144	48	14	other	other	ADJ
cana-4144	48	15	traits	trait	NOUN
cana-4144	48	16	of	of	ADP
cana-4144	48	17			NOUN
cana-4144	49	1	−	−	NOUN
cana-4144	49	2	cuts	cut	NOUN
cana-4144	49	3	.	.	PUNCT
cana-4144	50	1	2	2	X
cana-4144	50	2	.	.	X
cana-4144	50	3	preliminary	preliminary	ADJ
cana-4144	50	4	concepts	concept	NOUN
cana-4144	50	5	we	we	PRON
cana-4144	50	6	present	present	VERB
cana-4144	50	7	the	the	DET
cana-4144	50	8	idea	idea	NOUN
cana-4144	50	9	of	of	ADP
cana-4144	50	10	signed	sign	VERB
cana-4144	50	11	fuzzy	fuzzy	ADJ
cana-4144	50	12	sets	set	NOUN
cana-4144	50	13	in	in	ADP
cana-4144	50	14	this	this	DET
cana-4144	50	15	section	section	NOUN
cana-4144	50	16	.	.	PUNCT
cana-4144	51	1	we	we	PRON
cana-4144	51	2	start	start	VERB
cana-4144	51	3	by	by	ADP
cana-4144	51	4	establishing	establish	VERB
cana-4144	51	5	signed	sign	VERB
cana-4144	51	6	fuzzy	fuzzy	ADJ
cana-4144	51	7	sets	set	NOUN
cana-4144	51	8	and	and	CCONJ
cana-4144	51	9	examining	examine	VERB
cana-4144	51	10	their	their	PRON
cana-4144	51	11	traits	trait	NOUN
cana-4144	51	12	and	and	CCONJ
cana-4144	51	13	attributes	attribute	NOUN
cana-4144	51	14	.	.	PUNCT
cana-4144	52	1	after	after	ADP
cana-4144	52	2	that	that	PRON
cana-4144	52	3	,	,	PUNCT
cana-4144	52	4	we	we	PRON
cana-4144	52	5	provide	provide	VERB
cana-4144	52	6	a	a	DET
cana-4144	52	7	number	number	NOUN
cana-4144	52	8	of	of	ADP
cana-4144	52	9	basic	basic	ADJ
cana-4144	52	10	definitions	definition	NOUN
cana-4144	52	11	for	for	ADP
cana-4144	52	12	signed	sign	VERB
cana-4144	52	13	communications	communication	NOUN
cana-4144	52	14	on	on	ADP
cana-4144	52	15	applied	apply	VERB
cana-4144	52	16	nonlinear	nonlinear	ADJ
cana-4144	52	17	analysis	analysis	NOUN
cana-4144	52	18	issn	issn	NOUN
cana-4144	52	19	:	:	PUNCT
cana-4144	52	20	1074	1074	NUM
cana-4144	52	21	-	-	PUNCT
cana-4144	52	22	133x	133x	NUM
cana-4144	52	23	vol	vol	NOUN
cana-4144	52	24	x	x	NOUN
cana-4144	52	25	no	no	INTJ
cana-4144	52	26	.	.	PUNCT
cana-4144	53	1	y	y	PROPN
cana-4144	53	2	(	(	PUNCT
cana-4144	53	3	2025	2025	NUM
cana-4144	53	4	)	)	PUNCT
cana-4144	53	5	1334	1334	NUM
cana-4144	53	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	53	7	fuzzy	fuzzy	ADJ
cana-4144	53	8	sets	set	NOUN
cana-4144	53	9	,	,	PUNCT
cana-4144	53	10	each	each	PRON
cana-4144	53	11	supported	support	VERB
cana-4144	53	12	by	by	ADP
cana-4144	53	13	examples	example	NOUN
cana-4144	53	14	to	to	PART
cana-4144	53	15	help	help	VERB
cana-4144	53	16	make	make	VERB
cana-4144	53	17	the	the	DET
cana-4144	53	18	point	point	NOUN
cana-4144	53	19	clear	clear	ADJ
cana-4144	53	20	.	.	PUNCT
cana-4144	54	1	these	these	DET
cana-4144	54	2	examples	example	NOUN
cana-4144	54	3	will	will	AUX
cana-4144	54	4	give	give	VERB
cana-4144	54	5	a	a	DET
cana-4144	54	6	better	well	ADJ
cana-4144	54	7	idea	idea	NOUN
cana-4144	54	8	of	of	ADP
cana-4144	54	9	the	the	DET
cana-4144	54	10	practical	practical	ADJ
cana-4144	54	11	utility	utility	NOUN
cana-4144	54	12	of	of	ADP
cana-4144	54	13	signed	sign	VERB
cana-4144	54	14	fuzzy	fuzzy	ADJ
cana-4144	54	15	sets	set	NOUN
cana-4144	54	16	by	by	ADP
cana-4144	54	17	showing	show	VERB
cana-4144	54	18	how	how	SCONJ
cana-4144	54	19	they	they	PRON
cana-4144	54	20	can	can	AUX
cana-4144	54	21	be	be	AUX
cana-4144	54	22	used	use	VERB
cana-4144	54	23	in	in	ADP
cana-4144	54	24	different	different	ADJ
cana-4144	54	25	situations	situation	NOUN
cana-4144	54	26	.	.	PUNCT
cana-4144	55	1	an	an	DET
cana-4144	55	2	element	element	NOUN
cana-4144	55	3	in	in	ADP
cana-4144	55	4	a	a	DET
cana-4144	55	5	crisp	crisp	ADJ
cana-4144	55	6	set	set	NOUN
cana-4144	55	7	is	be	AUX
cana-4144	55	8	either	either	CCONJ
cana-4144	55	9	a	a	DET
cana-4144	55	10	member	member	NOUN
cana-4144	55	11	of	of	ADP
cana-4144	55	12	the	the	DET
cana-4144	55	13	set	set	NOUN
cana-4144	55	14	or	or	CCONJ
cana-4144	55	15	not	not	PART
cana-4144	55	16	.	.	PUNCT
cana-4144	56	1	membership	membership	NOUN
cana-4144	56	2	has	have	VERB
cana-4144	56	3	two	two	NUM
cana-4144	56	4	possible	possible	ADJ
cana-4144	56	5	values	value	NOUN
cana-4144	56	6	:	:	PUNCT
cana-4144	56	7	0	0	NUM
cana-4144	56	8	and	and	CCONJ
cana-4144	56	9	1	1	NUM
cana-4144	56	10	.	.	PUNCT
cana-4144	56	11	example	example	NOUN
cana-4144	56	12	2.1	2.1	NUM
cana-4144	56	13	.	.	PUNCT
cana-4144	57	1	consumer	consumer	NOUN
cana-4144	57	2	feedback	feedback	NOUN
cana-4144	57	3	indicates	indicate	VERB
cana-4144	57	4	if	if	SCONJ
cana-4144	57	5	a	a	DET
cana-4144	57	6	consumer	consumer	NOUN
cana-4144	57	7	is	be	AUX
cana-4144	57	8	happy	happy	ADJ
cana-4144	57	9	(	(	PUNCT
cana-4144	57	10	1	1	NUM
cana-4144	57	11	)	)	PUNCT
cana-4144	57	12	or	or	CCONJ
cana-4144	57	13	unhappy	unhappy	ADJ
cana-4144	57	14	(	(	PUNCT
cana-4144	57	15	0	0	NUM
cana-4144	57	16	)	)	PUNCT
cana-4144	57	17	.	.	PUNCT
cana-4144	58	1	diverse	diverse	ADJ
cana-4144	58	2	levels	level	NOUN
cana-4144	58	3	of	of	ADP
cana-4144	58	4	satisfaction	satisfaction	NOUN
cana-4144	58	5	are	be	AUX
cana-4144	58	6	not	not	PART
cana-4144	58	7	captured	capture	VERB
cana-4144	58	8	by	by	ADP
cana-4144	58	9	this	this	DET
cana-4144	58	10	binary	binary	ADJ
cana-4144	58	11	classification	classification	NOUN
cana-4144	58	12	.	.	PUNCT
cana-4144	59	1	partial	partial	ADJ
cana-4144	59	2	membership	membership	NOUN
cana-4144	59	3	is	be	AUX
cana-4144	59	4	permitted	permit	VERB
cana-4144	59	5	by	by	ADP
cana-4144	59	6	fuzzy	fuzzy	ADJ
cana-4144	59	7	sets	set	NOUN
cana-4144	59	8	,	,	PUNCT
cana-4144	59	9	in	in	ADP
cana-4144	59	10	which	which	PRON
cana-4144	59	11	the	the	DET
cana-4144	59	12	membership	membership	NOUN
cana-4144	59	13	value	value	NOUN
cana-4144	59	14	of	of	ADP
cana-4144	59	15	an	an	DET
cana-4144	59	16	element	element	NOUN
cana-4144	59	17	falls	fall	VERB
cana-4144	59	18	between	between	ADP
cana-4144	59	19	0	0	NUM
cana-4144	59	20	and	and	CCONJ
cana-4144	59	21	1	1	NUM
cana-4144	59	22	.	.	PUNCT
cana-4144	59	23	example	example	NOUN
cana-4144	59	24	2.2	2.2	NUM
cana-4144	59	25	.	.	PUNCT
cana-4144	59	26	customer	customer	NOUN
cana-4144	59	27	feedback	feedback	NOUN
cana-4144	59	28	:	:	PUNCT
cana-4144	59	29	although	although	SCONJ
cana-4144	59	30	a	a	DET
cana-4144	59	31	customer	customer	NOUN
cana-4144	59	32	's	's	PART
cana-4144	59	33	feedback	feedback	NOUN
cana-4144	59	34	may	may	AUX
cana-4144	59	35	indicate	indicate	VERB
cana-4144	59	36	varying	vary	VERB
cana-4144	59	37	degrees	degree	NOUN
cana-4144	59	38	of	of	ADP
cana-4144	59	39	satisfaction	satisfaction	NOUN
cana-4144	59	40	(	(	PUNCT
cana-4144	59	41	e.g.	e.g.	ADV
cana-4144	59	42	,	,	PUNCT
cana-4144	59	43	0.7	0.7	NUM
cana-4144	59	44	or	or	CCONJ
cana-4144	59	45	0.3	0.3	NUM
cana-4144	59	46	)	)	PUNCT
cana-4144	59	47	,	,	PUNCT
cana-4144	59	48	it	it	PRON
cana-4144	59	49	does	do	AUX
cana-4144	59	50	not	not	PART
cana-4144	59	51	express	express	VERB
cana-4144	59	52	conflicting	conflicting	ADJ
cana-4144	59	53	opinions	opinion	NOUN
cana-4144	59	54	at	at	ADP
cana-4144	59	55	the	the	DET
cana-4144	59	56	same	same	ADJ
cana-4144	59	57	time	time	NOUN
cana-4144	59	58	.	.	PUNCT
cana-4144	60	1	by	by	ADP
cana-4144	60	2	permitting	permit	VERB
cana-4144	60	3	both	both	CCONJ
cana-4144	60	4	positive	positive	ADJ
cana-4144	60	5	and	and	CCONJ
cana-4144	60	6	negative	negative	ADJ
cana-4144	60	7	membership	membership	NOUN
cana-4144	60	8	values	value	NOUN
cana-4144	60	9	,	,	PUNCT
cana-4144	60	10	ranging	range	VERB
cana-4144	60	11	from	from	ADP
cana-4144	60	12	-1	-1	INTJ
cana-4144	60	13	to	to	ADP
cana-4144	60	14	1	1	NUM
cana-4144	60	15	,	,	PUNCT
cana-4144	60	16	signed	sign	VERB
cana-4144	60	17	fuzzy	fuzzy	ADJ
cana-4144	60	18	sets	set	NOUN
cana-4144	60	19	expand	expand	VERB
cana-4144	60	20	on	on	ADP
cana-4144	60	21	fuzzy	fuzzy	ADJ
cana-4144	60	22	sets	set	NOUN
cana-4144	60	23	.	.	PUNCT
cana-4144	61	1	the	the	DET
cana-4144	61	2	degrees	degree	NOUN
cana-4144	61	3	of	of	ADP
cana-4144	61	4	opposition	opposition	NOUN
cana-4144	61	5	and	and	CCONJ
cana-4144	61	6	membership	membership	NOUN
cana-4144	61	7	are	be	AUX
cana-4144	61	8	represented	represent	VERB
cana-4144	61	9	by	by	ADP
cana-4144	61	10	this	this	PRON
cana-4144	61	11	.	.	PUNCT
cana-4144	62	1	example	example	NOUN
cana-4144	62	2	2.3	2.3	NUM
cana-4144	62	3	.	.	PUNCT
cana-4144	63	1	customer	customer	NOUN
cana-4144	63	2	feedback	feedback	NOUN
cana-4144	63	3	is	be	AUX
cana-4144	63	4	categorized	categorize	VERB
cana-4144	63	5	as	as	SCONJ
cana-4144	63	6	follows	follow	VERB
cana-4144	63	7	:	:	PUNCT
cana-4144	63	8	neutral	neutral	ADJ
cana-4144	63	9	=	=	SYM
cana-4144	63	10	0	0	NUM
cana-4144	63	11	,	,	PUNCT
cana-4144	63	12	highly	highly	ADV
cana-4144	63	13	unsatisfied	unsatisfied	ADJ
cana-4144	63	14	=	=	SYM
cana-4144	63	15	-1	-1	ADJ
cana-4144	63	16	,	,	PUNCT
cana-4144	63	17	somewhat	somewhat	ADV
cana-4144	63	18	satisfied	satisfied	ADJ
cana-4144	63	19	=	=	SYM
cana-4144	63	20	0.5	0.5	NUM
cana-4144	63	21	,	,	PUNCT
cana-4144	63	22	highly	highly	ADV
cana-4144	63	23	satisfied	satisfied	ADJ
cana-4144	63	24	=	=	SYM
cana-4144	63	25	1	1	NUM
cana-4144	63	26	,	,	PUNCT
cana-4144	63	27	and	and	CCONJ
cana-4144	63	28	neutral	neutral	ADJ
cana-4144	63	29	=	=	SYM
cana-4144	63	30	0	0	NUM
cana-4144	63	31	.	.	PUNCT
cana-4144	64	1	due	due	ADP
cana-4144	64	2	to	to	ADP
cana-4144	64	3	their	their	PRON
cana-4144	64	4	ability	ability	NOUN
cana-4144	64	5	to	to	PART
cana-4144	64	6	overcome	overcome	VERB
cana-4144	64	7	the	the	DET
cana-4144	64	8	limitations	limitation	NOUN
cana-4144	64	9	of	of	ADP
cana-4144	64	10	both	both	PRON
cana-4144	64	11	standard	standard	ADJ
cana-4144	64	12	fuzzy	fuzzy	ADJ
cana-4144	64	13	sets	set	NOUN
cana-4144	64	14	and	and	CCONJ
cana-4144	64	15	crisp	crisp	ADJ
cana-4144	64	16	sets	set	NOUN
cana-4144	64	17	,	,	PUNCT
cana-4144	64	18	signed	sign	VERB
cana-4144	64	19	fuzzy	fuzzy	ADJ
cana-4144	64	20	sets	set	NOUN
cana-4144	64	21	are	be	AUX
cana-4144	64	22	essential	essential	ADJ
cana-4144	64	23	.	.	PUNCT
cana-4144	65	1	due	due	ADP
cana-4144	65	2	to	to	ADP
cana-4144	65	3	its	its	PRON
cana-4144	65	4	capability	capability	NOUN
cana-4144	65	5	for	for	ADP
cana-4144	65	6	dual	dual	ADJ
cana-4144	65	7	-	-	PUNCT
cana-4144	65	8	dimension	dimension	NOUN
cana-4144	65	9	membership	membership	NOUN
cana-4144	65	10	values	value	NOUN
cana-4144	65	11	,	,	PUNCT
cana-4144	65	12	signed	sign	VERB
cana-4144	65	13	fuzzy	fuzzy	ADJ
cana-4144	65	14	sets	set	NOUN
cana-4144	65	15	provide	provide	VERB
cana-4144	65	16	a	a	DET
cana-4144	65	17	thorough	thorough	ADJ
cana-4144	65	18	representation	representation	NOUN
cana-4144	65	19	of	of	ADP
cana-4144	65	20	elements	element	NOUN
cana-4144	65	21	in	in	ADP
cana-4144	65	22	complex	complex	ADJ
cana-4144	65	23	settings	setting	NOUN
cana-4144	65	24	.	.	PUNCT
cana-4144	66	1	making	make	VERB
cana-4144	66	2	educated	educate	VERB
cana-4144	66	3	decisions	decision	NOUN
cana-4144	66	4	in	in	ADP
cana-4144	66	5	practical	practical	ADJ
cana-4144	66	6	applications	application	NOUN
cana-4144	66	7	such	such	ADJ
cana-4144	66	8	as	as	ADP
cana-4144	66	9	sentiment	sentiment	NOUN
cana-4144	66	10	analysis	analysis	NOUN
cana-4144	66	11	,	,	PUNCT
cana-4144	66	12	risk	risk	NOUN
cana-4144	66	13	management	management	NOUN
cana-4144	66	14	,	,	PUNCT
cana-4144	66	15	environmental	environmental	ADJ
cana-4144	66	16	impact	impact	NOUN
cana-4144	66	17	assessments	assessment	NOUN
cana-4144	66	18	,	,	PUNCT
cana-4144	66	19	and	and	CCONJ
cana-4144	66	20	healthcare	healthcare	NOUN
cana-4144	66	21	requires	require	VERB
cana-4144	66	22	an	an	DET
cana-4144	66	23	understanding	understanding	NOUN
cana-4144	66	24	of	of	ADP
cana-4144	66	25	both	both	CCONJ
cana-4144	66	26	positive	positive	ADJ
cana-4144	66	27	and	and	CCONJ
cana-4144	66	28	negative	negative	ADJ
cana-4144	66	29	aspects	aspect	NOUN
cana-4144	66	30	.	.	PUNCT
cana-4144	67	1	definition	definition	NOUN
cana-4144	67	2	2.1	2.1	NUM
cana-4144	67	3	.	.	PUNCT
cana-4144	68	1	let	let	VERB
cana-4144	68	2	g	g	NOUN
cana-4144	68	3	be	be	AUX
cana-4144	68	4	any	any	DET
cana-4144	68	5	particular	particular	ADJ
cana-4144	68	6	element	element	NOUN
cana-4144	68	7	of	of	ADP
cana-4144	68	8	x	x	PRON
cana-4144	68	9	,	,	PUNCT
cana-4144	68	10	and	and	CCONJ
cana-4144	68	11	let	let	VERB
cana-4144	68	12	x	x	PRON
cana-4144	68	13	be	be	AUX
cana-4144	68	14	the	the	DET
cana-4144	68	15	universal	universal	ADJ
cana-4144	68	16	set	set	NOUN
cana-4144	68	17	.	.	PUNCT
cana-4144	69	1	1	1	NUM
cana-4144	69	2	is	be	AUX
cana-4144	69	3	a	a	DET
cana-4144	69	4	signed	sign	VERB
cana-4144	69	5	fuzzy	fuzzy	ADJ
cana-4144	69	6	set	set	NOUN
cana-4144	69	7	defined	define	VERB
cana-4144	69	8	on	on	ADP
cana-4144	69	9	x	x	X
cana-4144	69	10	.	.	PUNCT
cana-4144	70	1	let	let	VERB
cana-4144	70	2	1	1	NUM
cana-4144	70	3	be	be	AUX
cana-4144	70	4	a	a	DET
cana-4144	70	5	collection	collection	NOUN
cana-4144	70	6	of	of	ADP
cana-4144	70	7	ordered	order	VERB
cana-4144	70	8	pairs	pair	NOUN
cana-4144	70	9	,	,	PUNCT
cana-4144	70	10	such	such	ADJ
cana-4144	70	11	that	that	SCONJ
cana-4144	70	12			PROPN
cana-4144	70	13			PROPN
cana-4144	70	14	11	11	NUM
cana-4144	70	15	,	,	PUNCT
cana-4144	70	16	(	(	PUNCT
cana-4144	70	17	)	)	PUNCT
cana-4144	70	18	/g	/g	PUNCT
cana-4144	71	1	g	g	PROPN
cana-4144	71	2	g	g	PROPN
cana-4144	71	3	x	x	X
cana-4144	71	4			X
cana-4144	71	5			SYM
cana-4144	71	6	=	=	SYM
cana-4144	71	7			NOUN
cana-4144	71	8	.	.	PUNCT
cana-4144	72	1	where	where	SCONJ
cana-4144	72	2	the	the	DET
cana-4144	72	3	membership	membership	NOUN
cana-4144	72	4	function	function	NOUN
cana-4144	72	5	is	be	AUX
cana-4144	72	6	denoted	denote	VERB
cana-4144	72	7	by	by	ADP
cana-4144	72	8	1	1	NUM
cana-4144	72	9	(	(	PUNCT
cana-4144	72	10	)	)	PUNCT
cana-4144	72	11	:	:	PUNCT
cana-4144	73	1	[	[	PUNCT
cana-4144	73	2	1,1].g	1,1].g	NUM
cana-4144	73	3	x	x	NUM
cana-4144	73	4			X
cana-4144	73	5	→	→	SYM
cana-4144	73	6	−	−	PROPN
cana-4144	73	7	example	example	NOUN
cana-4144	73	8	2.4	2.4	NUM
cana-4144	73	9	.	.	PUNCT
cana-4144	74	1	in	in	ADP
cana-4144	74	2	celsius	celsius	NOUN
cana-4144	74	3	,	,	PUNCT
cana-4144	74	4	let	let	VERB
cana-4144	74	5			PRON
cana-4144	74	6	5,10,15,20,25,30x	5,10,15,20,25,30x	VERB
cana-4144	74	7	=	=	PRON
cana-4144	74	8	be	be	AUX
cana-4144	74	9	the	the	DET
cana-4144	74	10	temperature	temperature	NOUN
cana-4144	74	11	.	.	PUNCT
cana-4144	75	1	(	(	PUNCT
cana-4144	75	2	)	)	PUNCT
cana-4144	75	3			PROPN
cana-4144	75	4			PROPN
cana-4144	75	5	11	11	NUM
cana-4144	75	6	,	,	PUNCT
cana-4144	75	7	(	(	PUNCT
cana-4144	75	8	)	)	PUNCT
cana-4144	75	9	/g	/g	PUNCT
cana-4144	76	1	g	g	PROPN
cana-4144	76	2	g	g	PROPN
cana-4144	76	3	x	x	X
cana-4144	76	4			X
cana-4144	76	5			SYM
cana-4144	77	1	=	=	SYM
cana-4144	77	2			NOUN
cana-4144	77	3	,	,	PUNCT
cana-4144	77	4	1	1	NUM
cana-4144	77	5	(	(	PUNCT
cana-4144	77	6	)	)	PUNCT
cana-4144	77	7	:	:	PUNCT
cana-4144	77	8	[	[	PUNCT
cana-4144	77	9	1,1]g	1,1]g	NUM
cana-4144	77	10	x	x	X
cana-4144	77	11			PROPN
cana-4144	77	12	→	→	SYM
cana-4144	77	13	−	−	PROPN
cana-4144	77	14	,	,	PUNCT
cana-4144	77	15	where	where	SCONJ
cana-4144	77	16	1	1	NUM
cana-4144	77	17	(	(	PUNCT
cana-4144	77	18	5	5	NUM
cana-4144	77	19	)	)	PUNCT
cana-4144	77	20	0.9	0.9	X
cana-4144	78	1			NUM
cana-4144	78	2	=	=	SYM
cana-4144	78	3	−	−	PROPN
cana-4144	78	4	,	,	PUNCT
cana-4144	78	5	1	1	NUM
cana-4144	78	6	(	(	PUNCT
cana-4144	78	7	10	10	NUM
cana-4144	78	8	)	)	PUNCT
cana-4144	78	9	0.7,	0.7,	ADJ
cana-4144	78	10			X
cana-4144	78	11	=	=	PUNCT
cana-4144	78	12	−	−	PROPN
cana-4144	78	13	and	and	CCONJ
cana-4144	78	14	1	1	NUM
cana-4144	78	15	(	(	PUNCT
cana-4144	78	16	15	15	NUM
cana-4144	78	17	)	)	PUNCT
cana-4144	78	18	0.4	0.4	NUM
cana-4144	79	1			NOUN
cana-4144	79	2	=	=	SYM
cana-4144	79	3	−	−	PROPN
cana-4144	79	4	,	,	PUNCT
cana-4144	79	5	1	1	NUM
cana-4144	79	6	(	(	PUNCT
cana-4144	79	7	20	20	NUM
cana-4144	79	8	)	)	PUNCT
cana-4144	79	9	0	0	X
cana-4144	80	1			X
cana-4144	80	2	=	=	SYM
cana-4144	80	3	.	.	PUNCT
cana-4144	81	1	in	in	ADP
cana-4144	81	2	this	this	DET
cana-4144	81	3	case	case	NOUN
cana-4144	81	4	,	,	PUNCT
cana-4144	81	5	1	1	NUM
cana-4144	81	6	(	(	PUNCT
cana-4144	81	7	25	25	NUM
cana-4144	81	8	)	)	PUNCT
cana-4144	81	9	0.3	0.3	NUM
cana-4144	81	10			NOUN
cana-4144	81	11	=	=	SYM
cana-4144	81	12	,	,	PUNCT
cana-4144	81	13	1	1	NUM
cana-4144	81	14	(	(	PUNCT
cana-4144	81	15	30	30	NUM
cana-4144	81	16	)	)	PUNCT
cana-4144	81	17	0.6	0.6	PUNCT
cana-4144	82	1			PROPN
cana-4144	82	2	=	=	SYM
cana-4144	82	3	,	,	PUNCT
cana-4144	82	4	and	and	CCONJ
cana-4144	82	5	1	1	NUM
cana-4144	82	6	(	(	PUNCT
cana-4144	82	7	35	35	NUM
cana-4144	82	8	)	)	PUNCT
cana-4144	82	9	0.8	0.8	X
cana-4144	83	1			PROPN
cana-4144	83	2	=	=	SYM
cana-4144	83	3	.	.	PUNCT
cana-4144	84	1	definition	definition	NOUN
cana-4144	84	2	2.2	2.2	NUM
cana-4144	84	3	.	.	PUNCT
cana-4144	85	1	given	give	VERB
cana-4144	85	2	a	a	DET
cana-4144	85	3	nonempty	nonempty	NOUN
cana-4144	85	4	set	set	VERB
cana-4144	85	5	,	,	PUNCT
cana-4144	85	6	x	x	PRON
cana-4144	85	7	let	let	VERB
cana-4144	85	8	1	1	NUM
cana-4144	85	9	and	and	CCONJ
cana-4144	85	10	2	2	NUM
cana-4144	85	11	be	be	AUX
cana-4144	85	12	signed	sign	VERB
cana-4144	85	13	fuzzy	fuzzy	ADJ
cana-4144	85	14	sets	set	NOUN
cana-4144	85	15	in	in	ADP
cana-4144	85	16	x	x	X
cana-4144	85	17	.	.	PUNCT
cana-4144	86	1	i.	i.	PROPN
cana-4144	86	2	1	1	NUM
cana-4144	86	3	2	2	NUM
cana-4144	86	4	(	(	PUNCT
cana-4144	86	5	)	)	PUNCT
cana-4144	86	6	(	(	PUNCT
cana-4144	86	7	)	)	PUNCT
cana-4144	86	8	g	g	PROPN
cana-4144	86	9	g	g	PROPN
cana-4144	86	10			PROPN
cana-4144	86	11			PROPN
cana-4144	86	12			NOUN
cana-4144	86	13	,	,	PUNCT
cana-4144	86	14	g	g	PROPN
cana-4144	86	15	x	x	PROPN
cana-4144	86	16			NOUN
cana-4144	86	17	iff	iff	VERB
cana-4144	86	18	1	1	NUM
cana-4144	86	19	2	2	NUM
cana-4144	86	20	(	(	PUNCT
cana-4144	86	21	)	)	PUNCT
cana-4144	86	22	(	(	PUNCT
cana-4144	86	23	)	)	PUNCT
cana-4144	86	24	g	g	PROPN
cana-4144	86	25	g	g	PROPN
cana-4144	86	26			VERB
cana-4144	86	27			NOUN
cana-4144	86	28			NOUN
cana-4144	86	29	.	.	PUNCT
cana-4144	87	1	communications	communication	NOUN
cana-4144	87	2	on	on	ADP
cana-4144	87	3	applied	apply	VERB
cana-4144	87	4	nonlinear	nonlinear	ADJ
cana-4144	87	5	analysis	analysis	NOUN
cana-4144	87	6	issn	issn	NOUN
cana-4144	87	7	:	:	PUNCT
cana-4144	87	8	1074	1074	NUM
cana-4144	87	9	-	-	PUNCT
cana-4144	87	10	133x	133x	NUM
cana-4144	87	11	vol	vol	NOUN
cana-4144	87	12	x	x	NOUN
cana-4144	87	13	no	no	INTJ
cana-4144	87	14	.	.	PUNCT
cana-4144	88	1	y	y	PROPN
cana-4144	88	2	(	(	PUNCT
cana-4144	88	3	2025	2025	NUM
cana-4144	88	4	)	)	PUNCT
cana-4144	88	5	1335	1335	NUM
cana-4144	88	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	89	1	ii.the	ii.the	DET
cana-4144	89	2	complement	complement	NOUN
cana-4144	89	3	of	of	ADP
cana-4144	89	4	1	1	NUM
cana-4144	89	5	is	be	AUX
cana-4144	89	6	1	1	NUM
cana-4144	89	7	1	1	NUM
cana-4144	89	8	1	1	NUM
cana-4144	89	9	(	(	PUNCT
cana-4144	89	10	g	g	NOUN
cana-4144	89	11	)	)	PUNCT
cana-4144	89	12	1	1	NUM
cana-4144	89	13	1	1	NUM
cana-4144	89	14	(	(	PUNCT
cana-4144	89	15	g	g	NOUN
cana-4144	89	16	)	)	PUNCT
cana-4144	89	17	1	1	NUM
cana-4144	89	18	(	(	PUNCT
cana-4144	89	19	)	)	PUNCT
cana-4144	89	20	if	if	SCONJ
cana-4144	89	21	0	0	NUM
cana-4144	89	22	(	(	PUNCT
cana-4144	89	23	)	)	PUNCT
cana-4144	89	24	1	1	NUM
cana-4144	89	25	(	(	PUNCT
cana-4144	89	26	)	)	PUNCT
cana-4144	89	27	if	if	SCONJ
cana-4144	89	28	0	0	NUM
cana-4144	89	29	.	.	PUNCT
cana-4144	90	1	c	c	NOUN
cana-4144	90	2	g	g	PROPN
cana-4144	90	3	g	g	PROPN
cana-4144	90	4	g	g	NOUN
cana-4144	90	5			NOUN
cana-4144	90	6			NOUN
cana-4144	90	7			PROPN
cana-4144	90	8			PROPN
cana-4144	90	9			PROPN
cana-4144	90	10			VERB
cana-4144	90	11			PROPN
cana-4144	90	12			PROPN
cana-4144	90	13			VERB
cana-4144	90	14	−	−	NOUN
cana-4144	90	15			NOUN
cana-4144	90	16			NOUN
cana-4144	90	17	=	=	PUNCT
cana-4144	90	18			NUM
cana-4144	90	19	−	−	NOUN
cana-4144	90	20	−	−	PROPN
cana-4144	90	21			PRON
cana-4144	90	22	iii	iii	NOUN
cana-4144	90	23	.	.	PROPN
cana-4144	90	24	1	1	NUM
cana-4144	90	25	2	2	NUM
cana-4144	90	26	(	(	PUNCT
cana-4144	90	27	)	)	PUNCT
cana-4144	90	28	(	(	PUNCT
cana-4144	90	29	)	)	PUNCT
cana-4144	90	30	g	g	PROPN
cana-4144	90	31	g	g	ADJ
cana-4144	90	32			X
cana-4144	90	33	=	=	SYM
cana-4144	90	34			NOUN
cana-4144	90	35	,	,	PUNCT
cana-4144	90	36	if	if	SCONJ
cana-4144	90	37	1	1	NUM
cana-4144	90	38	2	2	NUM
cana-4144	90	39	(	(	PUNCT
cana-4144	90	40	)	)	PUNCT
cana-4144	90	41	(	(	PUNCT
cana-4144	90	42	)	)	PUNCT
cana-4144	90	43	g	g	PROPN
cana-4144	90	44	g	g	PROPN
cana-4144	90	45			PROPN
cana-4144	90	46			PROPN
cana-4144	90	47			NOUN
cana-4144	90	48	and	and	CCONJ
cana-4144	90	49	1	1	NUM
cana-4144	90	50	2	2	NUM
cana-4144	90	51	(	(	PUNCT
cana-4144	90	52	)	)	PUNCT
cana-4144	90	53	(	(	PUNCT
cana-4144	90	54	)	)	PUNCT
cana-4144	90	55	,	,	PUNCT
cana-4144	90	56	.g	.g	PROPN
cana-4144	91	1	g	g	PROPN
cana-4144	91	2	g	g	PROPN
cana-4144	91	3	x	x	PROPN
cana-4144	91	4			PROPN
cana-4144	91	5			PROPN
cana-4144	91	6			NOUN
cana-4144	91	7			NOUN
cana-4144	91	8	iv	iv	NUM
cana-4144	91	9	.	.	PUNCT
cana-4144	92	1	(	(	PUNCT
cana-4144	92	2	)	)	PUNCT
cana-4144	92	3			NOUN
cana-4144	92	4	1	1	AUX
cana-4144	92	5	2	2	NUM
cana-4144	92	6	1	1	NUM
cana-4144	92	7	2	2	NUM
cana-4144	92	8	(	(	PUNCT
cana-4144	92	9	)	)	PUNCT
cana-4144	92	10	(	(	PUNCT
cana-4144	92	11	)	)	PUNCT
cana-4144	92	12	,	,	PUNCT
cana-4144	92	13	(	(	PUNCT
cana-4144	92	14	)	)	PUNCT
cana-4144	92	15	,	,	PUNCT
cana-4144	92	16	.g	.g	PROPN
cana-4144	93	1	minimum	minimum	NOUN
cana-4144	93	2	g	g	PROPN
cana-4144	93	3	g	g	PROPN
cana-4144	93	4	g	g	NOUN
cana-4144	93	5	x	x	PROPN
cana-4144	94	1			PROPN
cana-4144	94	2			PROPN
cana-4144	94	3			PROPN
cana-4144	94	4			X
cana-4144	94	5	=	=	NOUN
cana-4144	94	6			NOUN
cana-4144	94	7			VERB
cana-4144	94	8			NOUN
cana-4144	94	9	v.	v.	ADP
cana-4144	94	10	(	(	PUNCT
cana-4144	94	11	)	)	PUNCT
cana-4144	94	12			NOUN
cana-4144	94	13	1	1	NOUN
cana-4144	94	14	2	2	NUM
cana-4144	94	15	1	1	NUM
cana-4144	94	16	2	2	NUM
cana-4144	94	17	(	(	PUNCT
cana-4144	94	18	)	)	PUNCT
cana-4144	94	19	(	(	PUNCT
cana-4144	94	20	)	)	PUNCT
cana-4144	94	21	,	,	PUNCT
cana-4144	94	22	(	(	PUNCT
cana-4144	94	23	)	)	PUNCT
cana-4144	94	24	,	,	PUNCT
cana-4144	94	25	g	g	PROPN
cana-4144	94	26	maximum	maximum	NOUN
cana-4144	94	27	g	g	PROPN
cana-4144	94	28	g	g	PROPN
cana-4144	94	29	g	g	NOUN
cana-4144	94	30	x	x	PROPN
cana-4144	95	1			PROPN
cana-4144	95	2			PROPN
cana-4144	95	3			PROPN
cana-4144	95	4			ADJ
cana-4144	95	5	=	=	NOUN
cana-4144	95	6			NOUN
cana-4144	95	7			VERB
cana-4144	95	8			NOUN
cana-4144	95	9	.	.	PUNCT
cana-4144	96	1	theorem	theorem	VERB
cana-4144	96	2	2.1	2.1	NUM
cana-4144	96	3	.	.	PUNCT
cana-4144	97	1	consider	consider	VERB
cana-4144	97	2	the	the	DET
cana-4144	97	3	signed	sign	VERB
cana-4144	97	4	fuzzy	fuzzy	ADJ
cana-4144	97	5	sets	set	NOUN
cana-4144	97	6	1	1	NUM
cana-4144	97	7	2,	2,	NUM
cana-4144	97	8			X
cana-4144	97	9			NOUN
cana-4144	97	10	and	and	CCONJ
cana-4144	97	11	3	3	NUM
cana-4144	97	12	in	in	ADP
cana-4144	97	13	x	x	X
cana-4144	97	14	.	.	PUNCT
cana-4144	98	1	then	then	ADV
cana-4144	98	2	1	1	X
cana-4144	98	3	.	.	PUNCT
cana-4144	98	4	idempotent	idempotent	ADJ
cana-4144	98	5	laws	law	NOUN
cana-4144	98	6	:	:	PUNCT
cana-4144	98	7	1	1	NUM
cana-4144	98	8	1	1	NUM
cana-4144	98	9	1	1	NUM
cana-4144	98	10	1	1	NUM
cana-4144	98	11	1	1	NUM
cana-4144	98	12	1,	1,	NOUN
cana-4144	98	13			PROPN
cana-4144	98	14			PROPN
cana-4144	99	1			PROPN
cana-4144	99	2			PROPN
cana-4144	99	3			PROPN
cana-4144	99	4			ADJ
cana-4144	99	5	=	=	NOUN
cana-4144	99	6			NOUN
cana-4144	99	7			NOUN
cana-4144	99	8			NOUN
cana-4144	99	9	=	=	SYM
cana-4144	99	10			NOUN
cana-4144	99	11	.	.	PUNCT
cana-4144	100	1	2	2	X
cana-4144	100	2	.	.	X
cana-4144	100	3	commutative	commutative	ADJ
cana-4144	100	4	laws	law	NOUN
cana-4144	100	5	:	:	PUNCT
cana-4144	100	6	1	1	NUM
cana-4144	100	7	2	2	NUM
cana-4144	100	8	2	2	NUM
cana-4144	100	9	1	1	NUM
cana-4144	100	10	1	1	NUM
cana-4144	100	11	2	2	NUM
cana-4144	100	12	2	2	NUM
cana-4144	100	13	1,	1,	NOUN
cana-4144	100	14			PROPN
cana-4144	100	15			PROPN
cana-4144	101	1			PROPN
cana-4144	102	1			PROPN
cana-4144	103	1			PROPN
cana-4144	103	2			PROPN
cana-4144	103	3			PROPN
cana-4144	103	4			ADV
cana-4144	103	5	=	=	NOUN
cana-4144	103	6			NOUN
cana-4144	103	7			ADP
cana-4144	103	8			NOUN
cana-4144	103	9			NOUN
cana-4144	103	10	=	=	SYM
cana-4144	103	11			NOUN
cana-4144	103	12			NOUN
cana-4144	103	13	.	.	PUNCT
cana-4144	104	1	3	3	X
cana-4144	104	2	.	.	X
cana-4144	104	3	associative	associative	ADJ
cana-4144	104	4	laws	law	NOUN
cana-4144	104	5	:	:	PUNCT
cana-4144	104	6	1	1	NUM
cana-4144	104	7	2	2	NUM
cana-4144	104	8	3	3	NUM
cana-4144	104	9	1	1	NUM
cana-4144	104	10	2	2	NUM
cana-4144	104	11	3	3	NUM
cana-4144	104	12	(	(	PUNCT
cana-4144	104	13	)	)	PUNCT
cana-4144	104	14	(	(	PUNCT
cana-4144	104	15	)	)	PUNCT
cana-4144	104	16	,	,	PUNCT
cana-4144	105	1			PROPN
cana-4144	105	2			PROPN
cana-4144	106	1			PROPN
cana-4144	106	2			PROPN
cana-4144	106	3			PROPN
cana-4144	106	4			PROPN
cana-4144	106	5			NOUN
cana-4144	106	6			NOUN
cana-4144	106	7			ADP
cana-4144	106	8	=	=	NOUN
cana-4144	106	9			NOUN
cana-4144	106	10			NUM
cana-4144	106	11			ADV
cana-4144	106	12	1	1	NUM
cana-4144	106	13	2	2	NUM
cana-4144	106	14	3	3	NUM
cana-4144	106	15	1	1	NUM
cana-4144	106	16	2	2	NUM
cana-4144	106	17	3	3	NUM
cana-4144	106	18	(	(	PUNCT
cana-4144	106	19	)	)	PUNCT
cana-4144	106	20	(	(	PUNCT
cana-4144	106	21	)	)	PUNCT
cana-4144	107	1			PROPN
cana-4144	107	2			PROPN
cana-4144	107	3			PROPN
cana-4144	108	1			PROPN
cana-4144	108	2			PROPN
cana-4144	108	3			PROPN
cana-4144	108	4			PUNCT
cana-4144	108	5			NOUN
cana-4144	108	6			NOUN
cana-4144	108	7	=	=	SYM
cana-4144	108	8			NOUN
cana-4144	108	9			NOUN
cana-4144	108	10			NOUN
cana-4144	108	11	.	.	PUNCT
cana-4144	109	1	4	4	X
cana-4144	109	2	.	.	X
cana-4144	109	3	distributive	distributive	ADJ
cana-4144	109	4	laws	law	NOUN
cana-4144	109	5	:	:	PUNCT
cana-4144	109	6	1	1	NUM
cana-4144	109	7	2	2	NUM
cana-4144	109	8	3	3	NUM
cana-4144	109	9	1	1	NUM
cana-4144	109	10	2	2	NUM
cana-4144	109	11	1	1	NUM
cana-4144	109	12	3	3	NUM
cana-4144	109	13	(	(	PUNCT
cana-4144	109	14	)	)	PUNCT
cana-4144	109	15	(	(	PUNCT
cana-4144	109	16	)	)	PUNCT
cana-4144	109	17	(	(	PUNCT
cana-4144	109	18	)	)	PUNCT
cana-4144	109	19	,	,	PUNCT
cana-4144	110	1			PROPN
cana-4144	110	2			PROPN
cana-4144	111	1			PROPN
cana-4144	111	2			PROPN
cana-4144	112	1			PROPN
cana-4144	112	2			PROPN
cana-4144	112	3			PROPN
cana-4144	112	4			PUNCT
cana-4144	112	5			NOUN
cana-4144	112	6			ADP
cana-4144	112	7	=	=	NOUN
cana-4144	112	8			NOUN
cana-4144	112	9			NOUN
cana-4144	112	10			NOUN
cana-4144	112	11			NOUN
cana-4144	112	12			NOUN
cana-4144	112	13	1	1	NUM
cana-4144	112	14	2	2	NUM
cana-4144	112	15	3	3	NUM
cana-4144	112	16	1	1	NUM
cana-4144	112	17	2	2	NUM
cana-4144	112	18	1	1	NUM
cana-4144	112	19	3	3	NUM
cana-4144	112	20	(	(	PUNCT
cana-4144	112	21	)	)	PUNCT
cana-4144	112	22	(	(	PUNCT
cana-4144	112	23	)	)	PUNCT
cana-4144	112	24	(	(	PUNCT
cana-4144	112	25	)	)	PUNCT
cana-4144	113	1			PROPN
cana-4144	113	2			PROPN
cana-4144	114	1			PROPN
cana-4144	114	2			PROPN
cana-4144	115	1			PROPN
cana-4144	115	2			PROPN
cana-4144	115	3			PROPN
cana-4144	115	4			NOUN
cana-4144	115	5			NOUN
cana-4144	115	6			NOUN
cana-4144	115	7	=	=	SYM
cana-4144	115	8			NOUN
cana-4144	115	9			PRON
cana-4144	115	10			NOUN
cana-4144	115	11			NOUN
cana-4144	115	12			NUM
cana-4144	115	13	.	.	PUNCT
cana-4144	116	1	5	5	X
cana-4144	116	2	.	.	X
cana-4144	116	3	absorption	absorption	NOUN
cana-4144	116	4	laws	law	NOUN
cana-4144	116	5	:	:	PUNCT
cana-4144	116	6	1	1	NUM
cana-4144	116	7	1	1	NUM
cana-4144	116	8	2	2	NUM
cana-4144	116	9	1	1	NUM
cana-4144	116	10	,	,	PUNCT
cana-4144	116	11	(	(	PUNCT
cana-4144	116	12	)	)	PUNCT
cana-4144	116	13			PROPN
cana-4144	116	14			PROPN
cana-4144	116	15			PROPN
cana-4144	116	16			PROPN
cana-4144	116	17			PUNCT
cana-4144	116	18			NOUN
cana-4144	116	19			ADP
cana-4144	116	20	=	=	SYM
cana-4144	116	21			NOUN
cana-4144	116	22	1	1	NUM
cana-4144	116	23	1	1	NUM
cana-4144	116	24	2	2	NUM
cana-4144	116	25	1	1	NUM
cana-4144	116	26	(	(	PUNCT
cana-4144	116	27	)	)	PUNCT
cana-4144	116	28			PROPN
cana-4144	116	29			PROPN
cana-4144	116	30			PROPN
cana-4144	116	31			PROPN
cana-4144	116	32			NOUN
cana-4144	116	33			NOUN
cana-4144	116	34			NOUN
cana-4144	116	35	=	=	SYM
cana-4144	116	36			NOUN
cana-4144	116	37	.	.	PUNCT
cana-4144	117	1	6	6	X
cana-4144	117	2	.	.	X
cana-4144	117	3	demorgan	demorgan	PROPN
cana-4144	117	4	's	's	PART
cana-4144	117	5	laws	law	NOUN
cana-4144	117	6	:	:	PUNCT
cana-4144	117	7	1	1	NUM
cana-4144	117	8	2	2	NUM
cana-4144	117	9	1	1	NUM
cana-4144	117	10	2	2	NUM
cana-4144	117	11	(	(	PUNCT
cana-4144	117	12	)	)	PUNCT
cana-4144	117	13	,	,	PUNCT
cana-4144	118	1	c	c	NOUN
cana-4144	118	2	c	c	NOUN
cana-4144	118	3	c	c	X
cana-4144	119	1			PROPN
cana-4144	119	2			PROPN
cana-4144	119	3			PROPN
cana-4144	119	4			PROPN
cana-4144	119	5			ADJ
cana-4144	120	1	=	=	NOUN
cana-4144	120	2			NOUN
cana-4144	120	3			NOUN
cana-4144	120	4	1	1	NUM
cana-4144	120	5	2	2	NUM
cana-4144	120	6	1	1	NUM
cana-4144	120	7	2	2	NUM
cana-4144	120	8	(	(	PUNCT
cana-4144	120	9	)	)	PUNCT
cana-4144	120	10	c	c	NOUN
cana-4144	120	11	c	c	NOUN
cana-4144	120	12	c	c	X
cana-4144	121	1			PROPN
cana-4144	121	2			PROPN
cana-4144	121	3			PROPN
cana-4144	121	4			PROPN
cana-4144	121	5			X
cana-4144	121	6	=	=	NOUN
cana-4144	121	7			NOUN
cana-4144	121	8			NUM
cana-4144	121	9	.	.	PUNCT
cana-4144	122	1	7	7	X
cana-4144	122	2	.	.	SYM
cana-4144	122	3	1	1	NUM
cana-4144	122	4	1	1	NUM
cana-4144	122	5	(	(	PUNCT
cana-4144	122	6	.)c	.)c	NOUN
cana-4144	122	7	c	c	X
cana-4144	122	8			PROPN
cana-4144	122	9			PROPN
cana-4144	122	10	=	=	NOUN
cana-4144	122	11			NOUN
cana-4144	122	12	8	8	NUM
cana-4144	122	13	.	.	SYM
cana-4144	122	14	1	1	NUM
cana-4144	122	15	2	2	NUM
cana-4144	122	16	1	1	NUM
cana-4144	122	17			PROPN
cana-4144	122	18			PROPN
cana-4144	122	19			X
cana-4144	122	20			PROPN
cana-4144	122	21			PROPN
cana-4144	122	22	and	and	CCONJ
cana-4144	122	23	1	1	NUM
cana-4144	122	24	2	2	NUM
cana-4144	122	25	2	2	NOUN
cana-4144	122	26			PROPN
cana-4144	122	27			PROPN
cana-4144	122	28			X
cana-4144	122	29			PROPN
cana-4144	122	30			PROPN
cana-4144	122	31	.	.	PUNCT
cana-4144	123	1	9	9	NUM
cana-4144	123	2	.	.	NOUN
cana-4144	123	3	1	1	NUM
cana-4144	123	4	1	1	NUM
cana-4144	123	5	2	2	NOUN
cana-4144	123	6			PROPN
cana-4144	123	7			PROPN
cana-4144	123	8			PROPN
cana-4144	123	9			NOUN
cana-4144	123	10			ADJ
cana-4144	123	11	and	and	CCONJ
cana-4144	123	12	2	2	NUM
cana-4144	123	13	1	1	NUM
cana-4144	123	14	2	2	NOUN
cana-4144	123	15			PROPN
cana-4144	123	16			PROPN
cana-4144	123	17			PROPN
cana-4144	123	18			PROPN
cana-4144	123	19			NUM
cana-4144	123	20	.	.	PUNCT
cana-4144	124	1	10	10	NUM
cana-4144	124	2	.	.	X
cana-4144	124	3	1	1	NUM
cana-4144	124	4	2	2	NOUN
cana-4144	124	5			PROPN
cana-4144	124	6			PROPN
cana-4144	124	7			NOUN
cana-4144	124	8	and	and	CCONJ
cana-4144	124	9	2	2	NUM
cana-4144	124	10	3	3	NUM
cana-4144	125	1			PROPN
cana-4144	125	2			PROPN
cana-4144	125	3			PROPN
cana-4144	125	4	then	then	ADV
cana-4144	125	5	1	1	NUM
cana-4144	125	6	3	3	NUM
cana-4144	125	7			PROPN
cana-4144	125	8			PROPN
cana-4144	125	9			PROPN
cana-4144	125	10	.	.	PUNCT
cana-4144	126	1	11	11	NUM
cana-4144	126	2	.	.	X
cana-4144	126	3	1	1	NUM
cana-4144	126	4	2	2	NOUN
cana-4144	127	1			PROPN
cana-4144	127	2			PROPN
cana-4144	127	3			PROPN
cana-4144	127	4	then	then	ADV
cana-4144	127	5	1	1	NUM
cana-4144	127	6	3	3	NUM
cana-4144	127	7	2	2	NUM
cana-4144	127	8	3	3	NUM
cana-4144	127	9			PROPN
cana-4144	127	10			PROPN
cana-4144	127	11			PROPN
cana-4144	127	12			NOUN
cana-4144	127	13			PROPN
cana-4144	127	14			NOUN
cana-4144	127	15			NOUN
cana-4144	127	16	and	and	CCONJ
cana-4144	127	17	1	1	NUM
cana-4144	127	18	3	3	NUM
cana-4144	127	19	2	2	NUM
cana-4144	127	20	3	3	NUM
cana-4144	127	21			PROPN
cana-4144	127	22			PROPN
cana-4144	127	23			PROPN
cana-4144	127	24			ADV
cana-4144	127	25			PROPN
cana-4144	127	26			PROPN
cana-4144	127	27			NUM
cana-4144	127	28	.	.	PUNCT
cana-4144	128	1	definition	definition	NOUN
cana-4144	128	2	2.3	2.3	NUM
cana-4144	128	3	.	.	PUNCT
cana-4144	129	1	if	if	SCONJ
cana-4144	129	2	x	x	PRON
cana-4144	129	3	is	be	AUX
cana-4144	129	4	a	a	DET
cana-4144	129	5	nonempty	nonempty	ADJ
cana-4144	129	6	set	set	NOUN
cana-4144	129	7	,	,	PUNCT
cana-4144	129	8	then	then	ADV
cana-4144	129	9	(	(	PUNCT
cana-4144	129	10	)	)	PUNCT
cana-4144	129	11	,	,	PUNCT
cana-4144	129	12	.i	.i	PROPN
cana-4144	129	13	signed	sign	VERB
cana-4144	129	14	fs	fs	PUNCT
cana-4144	129	15	x	x	PROPN
cana-4144	129	16	i	i	PRON
cana-4144	129	17	i	i	PROPN
cana-4144	130	1			PROPN
cana-4144	130	2	−	−	PROPN
cana-4144	130	3			VERB
cana-4144	130	4			NOUN
cana-4144	130	5	1	1	NUM
cana-4144	130	6	.	.	PUNCT
cana-4144	131	1	the	the	DET
cana-4144	131	2	intersection	intersection	NOUN
cana-4144	131	3	of	of	ADP
cana-4144	131	4	,	,	PUNCT
cana-4144	131	5	i	i	PRON
cana-4144	131	6	i	i	PROPN
cana-4144	131	7	i	i	PROPN
cana-4144	131	8			VERB
cana-4144	131	9			NOUN
cana-4144	131	10	is	be	AUX
cana-4144	131	11	denoted	denote	VERB
cana-4144	131	12	as	as	ADP
cana-4144	131	13	i	i	PRON
cana-4144	131	14	i	i	PRON
cana-4144	132	1	i	i	PRON
cana-4144	132	2			PROPN
cana-4144	132	3			NOUN
cana-4144	132	4			NOUN
cana-4144	132	5	,	,	PUNCT
cana-4144	132	6	a	a	DET
cana-4144	132	7	signed	sign	VERB
cana-4144	132	8	fuzzy	fuzzy	ADJ
cana-4144	132	9	set	set	VERB
cana-4144	132	10	in	in	ADP
cana-4144	132	11	x	x	PUNCT
cana-4144	132	12	defined	define	VERB
cana-4144	132	13	for	for	ADP
cana-4144	132	14	each	each	PRON
cana-4144	132	15	,	,	PUNCT
cana-4144	132	16	g	g	PROPN
cana-4144	132	17	x	x	PROPN
cana-4144	132	18			PROPN
cana-4144	132	19	1	1	PROPN
cana-4144	132	20	2	2	NUM
cana-4144	132	21	(	(	PUNCT
cana-4144	132	22	)	)	PUNCT
cana-4144	132	23	(	(	PUNCT
cana-4144	132	24	)	)	PUNCT
cana-4144	132	25	,	,	PUNCT
cana-4144	132	26	(	(	PUNCT
cana-4144	132	27	)	)	PUNCT
cana-4144	132	28	,	,	PUNCT
cana-4144	132	29	...	...	PUNCT
cana-4144	133	1	i	i	PRON
cana-4144	133	2	i	i	PRON
cana-4144	134	1	i	i	PRON
cana-4144	135	1	g	g	VERB
cana-4144	135	2	min	min	NOUN
cana-4144	136	1	g	g	PROPN
cana-4144	136	2	g	g	PROPN
cana-4144	136	3			PROPN
cana-4144	136	4			PROPN
cana-4144	137	1			NOUN
cana-4144	137	2			NOUN
cana-4144	137	3			NOUN
cana-4144	137	4			VERB
cana-4144	137	5	=	=	SYM
cana-4144	137	6			NOUN
cana-4144	137	7			PROPN
cana-4144	137	8			PROPN
cana-4144	137	9			PROPN
cana-4144	137	10			NOUN
cana-4144	137	11	.	.	PUNCT
cana-4144	138	1	2	2	X
cana-4144	138	2	.	.	X
cana-4144	138	3	the	the	DET
cana-4144	138	4	union	union	NOUN
cana-4144	138	5	of	of	ADP
cana-4144	138	6	i	i	PROPN
cana-4144	138	7	,	,	PUNCT
cana-4144	138	8	i	i	PRON
cana-4144	138	9	i	i	VERB
cana-4144	138	10			NOUN
cana-4144	138	11	is	be	AUX
cana-4144	138	12	denoted	denote	VERB
cana-4144	138	13	as	as	ADP
cana-4144	138	14	i	i	PRON
cana-4144	138	15	i	i	PRON
cana-4144	138	16	i	i	PRON
cana-4144	138	17			PROPN
cana-4144	138	18			NOUN
cana-4144	138	19			NOUN
cana-4144	138	20	,	,	PUNCT
cana-4144	138	21	a	a	DET
cana-4144	138	22	signed	sign	VERB
cana-4144	138	23	fuzzy	fuzzy	ADJ
cana-4144	138	24	set	set	VERB
cana-4144	138	25	in	in	ADP
cana-4144	138	26	x	x	PUNCT
cana-4144	138	27	defined	define	VERB
cana-4144	138	28	for	for	ADP
cana-4144	138	29	each	each	DET
cana-4144	138	30	g	g	PROPN
cana-4144	138	31	x	x	PROPN
cana-4144	138	32	,	,	PUNCT
cana-4144	138	33			PROPN
cana-4144	138	34	1	1	NOUN
cana-4144	138	35	2	2	NUM
cana-4144	138	36	(	(	PUNCT
cana-4144	138	37	)	)	PUNCT
cana-4144	138	38	(	(	PUNCT
cana-4144	138	39	)	)	PUNCT
cana-4144	138	40	,	,	PUNCT
cana-4144	138	41	(	(	PUNCT
cana-4144	138	42	)	)	PUNCT
cana-4144	138	43	,	,	PUNCT
cana-4144	138	44	...	...	PUNCT
cana-4144	139	1	i	i	PRON
cana-4144	139	2	i	i	PRON
cana-4144	140	1	i	i	PRON
cana-4144	141	1	g	g	PROPN
cana-4144	141	2	max	max	PROPN
cana-4144	141	3	g	g	PROPN
cana-4144	141	4	g	g	PROPN
cana-4144	141	5			PROPN
cana-4144	141	6			PROPN
cana-4144	141	7			NOUN
cana-4144	141	8			NOUN
cana-4144	141	9			NOUN
cana-4144	141	10			VERB
cana-4144	141	11	=	=	SYM
cana-4144	141	12			NOUN
cana-4144	141	13			PROPN
cana-4144	141	14			PROPN
cana-4144	141	15			PROPN
cana-4144	141	16			NOUN
cana-4144	141	17	.	.	PUNCT
cana-4144	142	1	definition	definition	NOUN
cana-4144	142	2	2.4	2.4	NUM
cana-4144	142	3	.	.	PUNCT
cana-4144	143	1	let	let	VERB
cana-4144	143	2	1	1	NUM
cana-4144	143	3	be	be	AUX
cana-4144	143	4	a	a	DET
cana-4144	143	5	signed	sign	VERB
cana-4144	143	6	fuzzy	fuzzy	ADJ
cana-4144	143	7	set	set	VERB
cana-4144	143	8	in	in	ADP
cana-4144	143	9	x	x	PUNCT
cana-4144	143	10	and	and	CCONJ
cana-4144	143	11	let	let	VERB
cana-4144	143	12	i	i	PROPN
cana-4144	143	13	,	,	PUNCT
cana-4144	143	14	i	i	PRON
cana-4144	143	15	i	i	VERB
cana-4144	143	16			NOUN
cana-4144	143	17			PROPN
cana-4144	143	18	signed	sign	VERB
cana-4144	143	19	-	-	PUNCT
cana-4144	143	20	fs	fs	NOUN
cana-4144	143	21	x	x	X
cana-4144	143	22	.	.	PUNCT
cana-4144	144	1	then	then	ADV
cana-4144	144	2	communications	communication	NOUN
cana-4144	144	3	on	on	ADP
cana-4144	144	4	applied	apply	VERB
cana-4144	144	5	nonlinear	nonlinear	ADJ
cana-4144	144	6	analysis	analysis	NOUN
cana-4144	144	7	issn	issn	NOUN
cana-4144	144	8	:	:	PUNCT
cana-4144	144	9	1074	1074	NUM
cana-4144	144	10	-	-	PUNCT
cana-4144	144	11	133x	133x	NUM
cana-4144	144	12	vol	vol	NOUN
cana-4144	144	13	x	x	NOUN
cana-4144	144	14	no	no	INTJ
cana-4144	144	15	.	.	PUNCT
cana-4144	145	1	y	y	PROPN
cana-4144	145	2	(	(	PUNCT
cana-4144	145	3	2025	2025	NUM
cana-4144	145	4	)	)	PUNCT
cana-4144	145	5	1336	1336	NUM
cana-4144	145	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	145	7	1	1	X
cana-4144	145	8	.	.	X
cana-4144	145	9	distributive	distributive	ADJ
cana-4144	145	10	law	law	NOUN
cana-4144	145	11	in	in	ADP
cana-4144	145	12	general	general	ADJ
cana-4144	145	13	(	(	PUNCT
cana-4144	145	14	)	)	PUNCT
cana-4144	145	15	1	1	NUM
cana-4144	145	16	1i	1i	NOUN
cana-4144	146	1	i	i	PRON
cana-4144	146	2	i	i	PRON
cana-4144	147	1	i	i	PRON
cana-4144	147	2	i	i	PRON
cana-4144	148	1	i	i	PRON
cana-4144	149	1			PROPN
cana-4144	150	1			PROPN
cana-4144	151	1			PROPN
cana-4144	151	2			PROPN
cana-4144	151	3			NOUN
cana-4144	151	4			NOUN
cana-4144	151	5			NOUN
cana-4144	151	6			PROPN
cana-4144	151	7			VERB
cana-4144	151	8			NOUN
cana-4144	151	9			NOUN
cana-4144	151	10	=	=	SYM
cana-4144	151	11			NOUN
cana-4144	151	12			X
cana-4144	151	13			PRON
cana-4144	151	14			ADJ
cana-4144	151	15			NOUN
cana-4144	151	16	.	.	PUNCT
cana-4144	152	1	2	2	X
cana-4144	152	2	.	.	X
cana-4144	152	3	de	de	PROPN
cana-4144	152	4	morgan	morgan	PROPN
cana-4144	152	5	's	's	PART
cana-4144	152	6	law	law	NOUN
cana-4144	152	7	in	in	ADP
cana-4144	152	8	general	general	ADJ
cana-4144	152	9	1	1	NUM
cana-4144	152	10	c	c	NOUN
cana-4144	152	11	c	c	NOUN
cana-4144	153	1	i	i	PRON
cana-4144	154	1	i	i	PRON
cana-4144	155	1	i	i	PRON
cana-4144	156	1	i	i	PRON
cana-4144	157	1	i	i	PRON
cana-4144	157	2			PROPN
cana-4144	157	3			PROPN
cana-4144	157	4			NOUN
cana-4144	157	5			NOUN
cana-4144	157	6			NOUN
cana-4144	157	7			NOUN
cana-4144	157	8			VERB
cana-4144	157	9	=	=	PUNCT
cana-4144	157	10			PROPN
cana-4144	157	11			PROPN
cana-4144	157	12			ADJ
cana-4144	157	13			NOUN
cana-4144	157	14	.	.	PUNCT
cana-4144	158	1	3	3	X
cana-4144	158	2	.	.	NUM
cana-4144	158	3	signed	sign	VERB
cana-4144	158	4	fuzzy	fuzzy	ADJ
cana-4144	158	5	relations	relation	NOUN
cana-4144	158	6	this	this	DET
cana-4144	158	7	section	section	NOUN
cana-4144	158	8	discusses	discuss	VERB
cana-4144	158	9	the	the	DET
cana-4144	158	10	results	result	NOUN
cana-4144	158	11	of	of	ADP
cana-4144	158	12	defining	define	VERB
cana-4144	158	13	signed	sign	VERB
cana-4144	158	14	-	-	PUNCT
cana-4144	158	15	frs	frs	ADJ
cana-4144	158	16	using	use	VERB
cana-4144	158	17	examples	example	NOUN
cana-4144	158	18	.	.	PUNCT
cana-4144	159	1	additionally	additionally	ADV
cana-4144	159	2	,	,	PUNCT
cana-4144	159	3	examples	example	NOUN
cana-4144	159	4	are	be	AUX
cana-4144	159	5	provided	provide	VERB
cana-4144	159	6	to	to	PART
cana-4144	159	7	define	define	VERB
cana-4144	159	8	the	the	DET
cana-4144	159	9	composition	composition	NOUN
cana-4144	159	10	of	of	ADP
cana-4144	159	11	signed	sign	VERB
cana-4144	159	12	fuzzy	fuzzy	ADJ
cana-4144	159	13	sets	set	NOUN
cana-4144	159	14	,	,	PUNCT
cana-4144	159	15	and	and	CCONJ
cana-4144	159	16	the	the	DET
cana-4144	159	17	outcomes	outcome	NOUN
cana-4144	159	18	are	be	AUX
cana-4144	159	19	displayed	display	VERB
cana-4144	159	20	.	.	PUNCT
cana-4144	160	1	a	a	DET
cana-4144	160	2	signed	sign	VERB
cana-4144	160	3	fuzzy	fuzzy	ADJ
cana-4144	160	4	relations(signed	relations(signe	VERB
cana-4144	160	5	-	-	PUNCT
cana-4144	160	6	fr	fr	NOUN
cana-4144	160	7	)	)	PUNCT
cana-4144	160	8	ü	ü	VERB
cana-4144	160	9	is	be	AUX
cana-4144	160	10	a	a	DET
cana-4144	160	11	mapping	mapping	NOUN
cana-4144	160	12	from	from	ADP
cana-4144	160	13	x	x	SYM
cana-4144	160	14	y	y	NOUN
cana-4144	160	15	to	to	ADP
cana-4144	160	16	the	the	DET
cana-4144	160	17	interval	interval	NOUN
cana-4144	160	18			ADJ
cana-4144	160	19	1,1−	1,1−	NOUN
cana-4144	160	20	.	.	PUNCT
cana-4144	161	1	the	the	DET
cana-4144	161	2	membership	membership	NOUN
cana-4144	161	3	function	function	NOUN
cana-4144	161	4	of	of	ADP
cana-4144	161	5	the	the	DET
cana-4144	161	6	relation	relation	NOUN
cana-4144	161	7	x	x	PROPN
cana-4144	161	8	y	y	PROPN
cana-4144	161	9			PROPN
cana-4144	161	10	ü	ü	NOUN
cana-4144	161	11	,	,	PUNCT
cana-4144	161	12			NOUN
cana-4144	161	13	ü	ü	PRON
cana-4144	161	14	varies	vary	VERB
cana-4144	161	15	over	over	ADP
cana-4144	161	16			ADJ
cana-4144	161	17	1,1−	1,1−	NOUN
cana-4144	161	18	,	,	PUNCT
cana-4144	161	19	expressing	express	VERB
cana-4144	161	20	the	the	DET
cana-4144	161	21	strength	strength	NOUN
cana-4144	161	22	of	of	ADP
cana-4144	161	23	the	the	DET
cana-4144	161	24	mapping	mapping	NOUN
cana-4144	161	25	.	.	PUNCT
cana-4144	162	1	definition	definition	NOUN
cana-4144	162	2	3.1	3.1	NUM
cana-4144	162	3	.	.	PUNCT
cana-4144	163	1	let	let	VERB
cana-4144	163	2	two	two	NUM
cana-4144	163	3	nonempty	nonempty	ADJ
cana-4144	163	4	sets	set	NOUN
cana-4144	163	5	be	be	VERB
cana-4144	163	6	x	x	PUNCT
cana-4144	163	7	and	and	CCONJ
cana-4144	163	8	y	y	PROPN
cana-4144	163	9	.	.	PUNCT
cana-4144	164	1	then	then	ADV
cana-4144	164	2	,	,	PUNCT
cana-4144	164	3			PROPN
cana-4144	164	4			PROPN
cana-4144	164	5	(	(	PUNCT
cana-4144	164	6	,	,	PUNCT
cana-4144	164	7	)	)	PUNCT
cana-4144	164	8	,	,	PUNCT
cana-4144	164	9	(	(	PUNCT
cana-4144	164	10	,	,	PUNCT
cana-4144	164	11	)	)	PUNCT
cana-4144	164	12	,	,	PUNCT
cana-4144	164	13	g	g	PROPN
cana-4144	164	14	h	h	NOUN
cana-4144	165	1	g	g	NOUN
cana-4144	165	2	h	h	NOUN
cana-4144	165	3	g	g	NOUN
cana-4144	165	4	x	x	SYM
cana-4144	165	5	h	h	NOUN
cana-4144	165	6	y	y	NUM
cana-4144	165	7			NOUN
cana-4144	165	8	=	=	SYM
cana-4144	166	1			PROPN
cana-4144	166	2	üü	üü	PROPN
cana-4144	166	3	∣	∣	ADJ
cana-4144	166	4	is	be	AUX
cana-4144	166	5	the	the	DET
cana-4144	166	6	definition	definition	NOUN
cana-4144	166	7	of	of	ADP
cana-4144	166	8	the	the	DET
cana-4144	166	9	signed	sign	VERB
cana-4144	166	10	-	-	PUNCT
cana-4144	166	11	fr	fr	NOUN
cana-4144	166	12	ü	ü	X
cana-4144	166	13	,	,	PUNCT
cana-4144	166	14	where	where	SCONJ
cana-4144	166	15	(	(	PUNCT
cana-4144	166	16	)	)	PUNCT
cana-4144	166	17	signed	sign	VERB
cana-4144	166	18	fr	fr	NOUN
cana-4144	166	19	x	x	PROPN
cana-4144	166	20	y	y	PROPN
cana-4144	166	21			NOUN
cana-4144	166	22	−	−	PROPN
cana-4144	166	23	ü	ü	NOUN
cana-4144	166	24	.	.	PUNCT
cana-4144	167	1	definition	definition	NOUN
cana-4144	167	2	3.2	3.2	NUM
cana-4144	167	3	.	.	PUNCT
cana-4144	168	1	let	let	AUX
cana-4144	168	2	(	(	PUNCT
cana-4144	168	3	)	)	PUNCT
cana-4144	168	4	signed	sign	VERB
cana-4144	168	5	fr	fr	NOUN
cana-4144	168	6	x	x	PROPN
cana-4144	168	7	y	y	PROPN
cana-4144	168	8			NOUN
cana-4144	168	9	−	−	PROPN
cana-4144	168	10	ü	ü	VERB
cana-4144	168	11	.	.	PUNCT
cana-4144	169	1	then	then	ADV
cana-4144	169	2	1	1	X
cana-4144	169	3	.	.	PUNCT
cana-4144	169	4	the	the	DET
cana-4144	169	5	formula	formula	NOUN
cana-4144	169	6	for	for	ADP
cana-4144	169	7	1	1	NUM
cana-4144	169	8	(	(	PUNCT
cana-4144	169	9	,	,	PUNCT
cana-4144	169	10	)	)	PUNCT
cana-4144	169	11	(	(	PUNCT
cana-4144	169	12	,	,	PUNCT
cana-4144	169	13	)	)	PUNCT
cana-4144	169	14	g	g	NOUN
cana-4144	169	15	h	h	NOUN
cana-4144	169	16	h	h	NOUN
cana-4144	169	17	g−	g−	PROPN
cana-4144	170	1			PROPN
cana-4144	170	2	=ü	=ü	NOUN
cana-4144	170	3	ü	ü	NOUN
cana-4144	170	4	is	be	AUX
cana-4144	170	5	the	the	DET
cana-4144	170	6	inverse	inverse	NOUN
cana-4144	170	7	of	of	ADP
cana-4144	170	8	ü	ü	NOUN
cana-4144	170	9	.	.	PUNCT
cana-4144	171	1	2	2	X
cana-4144	171	2	.	.	X
cana-4144	171	3	the	the	DET
cana-4144	171	4	complement	complement	NOUN
cana-4144	171	5	of	of	ADP
cana-4144	171	6	(	(	PUNCT
cana-4144	171	7	,	,	PUNCT
cana-4144	171	8	)	)	PUNCT
cana-4144	171	9	g	g	PROPN
cana-4144	171	10	hü	hü	PROPN
cana-4144	171	11	is	be	AUX
cana-4144	171	12	(	(	PUNCT
cana-4144	171	13	g	g	NOUN
cana-4144	171	14	,	,	PUNCT
cana-4144	171	15	h	h	NOUN
cana-4144	171	16	)	)	PUNCT
cana-4144	171	17	(	(	PUNCT
cana-4144	171	18	g	g	NOUN
cana-4144	171	19	,	,	PUNCT
cana-4144	171	20	h	h	NOUN
cana-4144	171	21	)	)	PUNCT
cana-4144	171	22	1	1	NUM
cana-4144	171	23	(	(	PUNCT
cana-4144	171	24	,	,	PUNCT
cana-4144	171	25	)	)	PUNCT
cana-4144	171	26	if	if	SCONJ
cana-4144	171	27	0	0	NUM
cana-4144	171	28	(	(	PUNCT
cana-4144	171	29	,	,	PUNCT
cana-4144	171	30	)	)	PUNCT
cana-4144	171	31	1	1	NUM
cana-4144	171	32	(	(	PUNCT
cana-4144	171	33	,	,	PUNCT
cana-4144	171	34	)	)	PUNCT
cana-4144	171	35	if	if	SCONJ
cana-4144	171	36	0	0	NUM
cana-4144	171	37	.	.	PUNCT
cana-4144	172	1	c	c	NOUN
cana-4144	172	2	g	g	PROPN
cana-4144	172	3	h	h	PROPN
cana-4144	172	4	g	g	PROPN
cana-4144	172	5	h	h	NOUN
cana-4144	172	6	g	g	PROPN
cana-4144	172	7	h	h	NOUN
cana-4144	172	8			NOUN
cana-4144	172	9			NOUN
cana-4144	172	10			NOUN
cana-4144	172	11			NOUN
cana-4144	173	1			PROPN
cana-4144	173	2			PROPN
cana-4144	174	1			PROPN
cana-4144	174	2			PROPN
cana-4144	174	3			PROPN
cana-4144	174	4	−	−	PROPN
cana-4144	174	5			NOUN
cana-4144	174	6	=	=	PUNCT
cana-4144	175	1			NUM
cana-4144	175	2	−	−	NOUN
cana-4144	175	3	−	−	NOUN
cana-4144	175	4			PUNCT
cana-4144	176	1	ü	ü	NOUN
cana-4144	176	2	ü	ü	NOUN
cana-4144	176	3	ü	ü	NOUN
cana-4144	176	4	ü	ü	NOUN
cana-4144	176	5	ü	ü	NOUN
cana-4144	176	6	3	3	NUM
cana-4144	176	7	.	.	NOUN
cana-4144	176	8	1	1	NUM
cana-4144	176	9	3	3	NUM
cana-4144	176	10	(	(	PUNCT
cana-4144	176	11	,	,	PUNCT
cana-4144	176	12	)	)	PUNCT
cana-4144	177	1	g	g	NOUN
cana-4144	177	2	h	h	PROPN
cana-4144	178	1			PROPN
cana-4144	178	2			PROPN
cana-4144	179	1	=	=	SYM
cana-4144	179	2	ü	ü	NOUN
cana-4144	179	3	ü	ü	NOUN
cana-4144	179	4	maximum	maximum	NOUN
cana-4144	179	5			PROPN
cana-4144	179	6			PROPN
cana-4144	179	7	1	1	NUM
cana-4144	179	8	3	3	NUM
cana-4144	179	9	(	(	PUNCT
cana-4144	179	10	,	,	PUNCT
cana-4144	179	11	)	)	PUNCT
cana-4144	179	12	,	,	PUNCT
cana-4144	179	13	(	(	PUNCT
cana-4144	179	14	,	,	PUNCT
cana-4144	179	15	)	)	PUNCT
cana-4144	179	16	g	g	NOUN
cana-4144	179	17	h	h	NOUN
cana-4144	179	18	g	g	NOUN
cana-4144	179	19	h	h	X
cana-4144	179	20			NOUN
cana-4144	179	21			PROPN
cana-4144	179	22	ü	ü	X
cana-4144	180	1	ü	ü	PROPN
cana-4144	180	2	is	be	AUX
cana-4144	180	3	the	the	DET
cana-4144	180	4	union	union	NOUN
cana-4144	180	5	of	of	ADP
cana-4144	180	6	1ü	1ü	NOUN
cana-4144	180	7	and	and	CCONJ
cana-4144	180	8	3ü	3ü	NOUN
cana-4144	180	9	.	.	PUNCT
cana-4144	181	1	4	4	X
cana-4144	181	2	.	.	NOUN
cana-4144	181	3	1	1	NUM
cana-4144	181	4	3	3	NUM
cana-4144	181	5	(	(	PUNCT
cana-4144	181	6	,	,	PUNCT
cana-4144	181	7	)	)	PUNCT
cana-4144	181	8	g	g	NOUN
cana-4144	181	9	h	h	PROPN
cana-4144	182	1			PROPN
cana-4144	182	2			PROPN
cana-4144	182	3	=	=	SYM
cana-4144	182	4	ü	ü	NOUN
cana-4144	182	5	ü	ü	NOUN
cana-4144	182	6	minimum	minimum	NOUN
cana-4144	183	1			PROPN
cana-4144	183	2			PROPN
cana-4144	183	3	1	1	NUM
cana-4144	183	4	3	3	NUM
cana-4144	183	5	(	(	PUNCT
cana-4144	183	6	,	,	PUNCT
cana-4144	183	7	)	)	PUNCT
cana-4144	183	8	,	,	PUNCT
cana-4144	183	9	(	(	PUNCT
cana-4144	183	10	,	,	PUNCT
cana-4144	183	11	)	)	PUNCT
cana-4144	183	12	g	g	NOUN
cana-4144	183	13	h	h	NOUN
cana-4144	183	14	g	g	NOUN
cana-4144	184	1	h	h	X
cana-4144	184	2			NOUN
cana-4144	184	3			PROPN
cana-4144	184	4	ü	ü	X
cana-4144	184	5	ü	ü	PROPN
cana-4144	184	6	is	be	AUX
cana-4144	184	7	the	the	DET
cana-4144	184	8	intersection	intersection	NOUN
cana-4144	184	9	of	of	ADP
cana-4144	184	10	1ü	1ü	NOUN
cana-4144	184	11	and	and	CCONJ
cana-4144	184	12	3ü	3ü	NOUN
cana-4144	184	13	.	.	PUNCT
cana-4144	185	1	5	5	X
cana-4144	185	2	.	.	X
cana-4144	185	3	the	the	DET
cana-4144	185	4	sum	sum	NOUN
cana-4144	185	5	of	of	ADP
cana-4144	185	6	1ü	1ü	NOUN
cana-4144	185	7	and	and	CCONJ
cana-4144	185	8	3ü	3ü	NUM
cana-4144	185	9	,	,	PUNCT
cana-4144	185	10	is	be	AUX
cana-4144	185	11	,	,	PUNCT
cana-4144	185	12			PROPN
cana-4144	185	13			PROPN
cana-4144	185	14	1	1	NUM
cana-4144	185	15	3	3	NUM
cana-4144	185	16	1	1	NUM
cana-4144	185	17	3	3	NUM
cana-4144	185	18	1	1	NUM
cana-4144	185	19	3	3	NUM
cana-4144	185	20	(	(	PUNCT
cana-4144	185	21	,	,	PUNCT
cana-4144	185	22	)	)	PUNCT
cana-4144	185	23	(	(	PUNCT
cana-4144	185	24	,	,	PUNCT
cana-4144	185	25	)	)	PUNCT
cana-4144	185	26	(	(	PUNCT
cana-4144	185	27	,	,	PUNCT
cana-4144	185	28	)	)	PUNCT
cana-4144	185	29	(	(	PUNCT
cana-4144	185	30	,	,	PUNCT
cana-4144	185	31	)	)	PUNCT
cana-4144	185	32	.	.	PUNCT
cana-4144	186	1	(	(	PUNCT
cana-4144	186	2	,	,	PUNCT
cana-4144	186	3	)	)	PUNCT
cana-4144	186	4	g	g	NOUN
cana-4144	186	5	h	h	NOUN
cana-4144	186	6	g	g	PROPN
cana-4144	186	7	h	h	NOUN
cana-4144	186	8	g	g	NOUN
cana-4144	186	9	h	h	NOUN
cana-4144	186	10	g	g	NOUN
cana-4144	186	11	h	h	NOUN
cana-4144	186	12	g	g	PROPN
cana-4144	186	13	h	h	PROPN
cana-4144	186	14			NOUN
cana-4144	186	15			NOUN
cana-4144	186	16			NOUN
cana-4144	186	17			NOUN
cana-4144	187	1			PROPN
cana-4144	187	2			PROPN
cana-4144	188	1			PROPN
cana-4144	188	2			PROPN
cana-4144	189	1			PROPN
cana-4144	189	2	+	+	PROPN
cana-4144	190	1	=	=	SYM
cana-4144	190	2	+	+	CCONJ
cana-4144	190	3	−ü	−ü	PROPN
cana-4144	190	4	ü	ü	NOUN
cana-4144	190	5	ü	ü	NOUN
cana-4144	190	6	ü	ü	NOUN
cana-4144	190	7	ü	ü	NOUN
cana-4144	190	8	ü	ü	NOUN
cana-4144	190	9	.	.	PUNCT
cana-4144	191	1	6	6	X
cana-4144	191	2	.	.	PUNCT
cana-4144	192	1	the	the	DET
cana-4144	192	2	multiplication	multiplication	NOUN
cana-4144	192	3	of	of	ADP
cana-4144	192	4	1ü	1ü	NOUN
cana-4144	192	5	and	and	CCONJ
cana-4144	192	6	3ü	3ü	NUM
cana-4144	192	7	,	,	PUNCT
cana-4144	192	8	is	be	AUX
cana-4144	192	9	,	,	PUNCT
cana-4144	192	10	1	1	NUM
cana-4144	192	11	3	3	NUM
cana-4144	192	12	1	1	NUM
cana-4144	192	13	2	2	NUM
cana-4144	192	14	.	.	PUNCT
cana-4144	193	1	(	(	PUNCT
cana-4144	193	2	,	,	PUNCT
cana-4144	193	3	)	)	PUNCT
cana-4144	193	4	(	(	PUNCT
cana-4144	193	5	,	,	PUNCT
cana-4144	193	6	)	)	PUNCT
cana-4144	193	7	.	.	PUNCT
cana-4144	194	1	(	(	PUNCT
cana-4144	194	2	,	,	PUNCT
cana-4144	194	3	)	)	PUNCT
cana-4144	194	4	g	g	NOUN
cana-4144	194	5	h	h	NOUN
cana-4144	194	6	g	g	NOUN
cana-4144	194	7	h	h	NOUN
cana-4144	194	8	g	g	PROPN
cana-4144	194	9	h	h	NOUN
cana-4144	194	10			NOUN
cana-4144	194	11			NOUN
cana-4144	195	1			PROPN
cana-4144	195	2			PROPN
cana-4144	196	1			PROPN
cana-4144	196	2			PROPN
cana-4144	196	3	=	=	NOUN
cana-4144	196	4	ü	ü	NOUN
cana-4144	196	5	ü	ü	NOUN
cana-4144	196	6	ü	ü	NOUN
cana-4144	196	7	ü	ü	PROPN
cana-4144	196	8	.	.	PUNCT
cana-4144	197	1	theorem	theorem	VERB
cana-4144	197	2	3.1	3.1	NUM
cana-4144	197	3	.	.	PUNCT
cana-4144	198	1	let	let	VERB
cana-4144	198	2	1	1	NUM
cana-4144	198	3	2	2	NUM
cana-4144	198	4	3	3	NUM
cana-4144	198	5	,	,	PUNCT
cana-4144	198	6	,	,	PUNCT
cana-4144	198	7	(	(	PUNCT
cana-4144	198	8	)	)	PUNCT
cana-4144	198	9	signed	sign	VERB
cana-4144	198	10	fr	fr	NOUN
cana-4144	198	11	x	x	PROPN
cana-4144	198	12	y	y	PROPN
cana-4144	199	1			PROPN
cana-4144	199	2			PROPN
cana-4144	199	3			NOUN
cana-4144	199	4	−	−	PROPN
cana-4144	199	5	ü	ü	VERB
cana-4144	199	6	ü	ü	NOUN
cana-4144	199	7	ü	ü	PROPN
cana-4144	199	8	.	.	PUNCT
cana-4144	200	1	then	then	ADV
cana-4144	200	2	1	1	X
cana-4144	200	3	.	.	PUNCT
cana-4144	200	4	(	(	PUNCT
cana-4144	200	5	)	)	PUNCT
cana-4144	200	6	(	(	PUNCT
cana-4144	200	7	)	)	PUNCT
cana-4144	200	8	1	1	NUM
cana-4144	200	9	1	1	NUM
cana-4144	200	10	1	1	NUM
cana-4144	200	11	1	1	NUM
cana-4144	200	12	c	c	NOUN
cana-4144	200	13	c	c	NOUN
cana-4144	200	14	−	−	NOUN
cana-4144	201	1	−	−	PROPN
cana-4144	202	1			PROPN
cana-4144	202	2	=ü	=ü	NOUN
cana-4144	203	1	ü	ü	INTJ
cana-4144	203	2	.	.	PUNCT
cana-4144	204	1	2	2	X
cana-4144	204	2	.	.	X
cana-4144	204	3	(	(	PUNCT
cana-4144	204	4	)	)	PUNCT
cana-4144	204	5	1	1	NUM
cana-4144	204	6	1	1	NUM
cana-4144	204	7	1	1	NUM
cana-4144	204	8	1	1	NUM
cana-4144	204	9	−	−	NOUN
cana-4144	204	10	−	−	PROPN
cana-4144	204	11			PROPN
cana-4144	204	12	=ü	=ü	NOUN
cana-4144	205	1	ü	ü	INTJ
cana-4144	205	2	.	.	PUNCT
cana-4144	206	1	3	3	NUM
cana-4144	206	2	.	.	NOUN
cana-4144	206	3	1	1	NUM
cana-4144	206	4	1	1	NUM
cana-4144	206	5	2	2	NOUN
cana-4144	206	6			PROPN
cana-4144	206	7			PROPN
cana-4144	206	8	ü	ü	PROPN
cana-4144	206	9	ü	ü	PROPN
cana-4144	206	10	ü	ü	NOUN
cana-4144	206	11	and	and	CCONJ
cana-4144	206	12	2	2	NUM
cana-4144	206	13	1	1	NUM
cana-4144	206	14	2	2	NOUN
cana-4144	206	15			PROPN
cana-4144	206	16			PROPN
cana-4144	206	17	ü	ü	NOUN
cana-4144	206	18	ü	ü	PROPN
cana-4144	206	19	ü	ü	NOUN
cana-4144	206	20	.	.	PUNCT
cana-4144	207	1	4	4	X
cana-4144	207	2	.	.	X
cana-4144	208	1	if	if	SCONJ
cana-4144	208	2	1	1	NUM
cana-4144	208	3	2	2	NUM
cana-4144	208	4	1	1	NUM
cana-4144	208	5			PROPN
cana-4144	208	6			PROPN
cana-4144	208	7	ü	ü	NOUN
cana-4144	208	8	ü	ü	PROPN
cana-4144	208	9	ü	ü	NOUN
cana-4144	208	10	and	and	CCONJ
cana-4144	208	11	1	1	NUM
cana-4144	208	12	2	2	NUM
cana-4144	208	13	2	2	NOUN
cana-4144	208	14			PROPN
cana-4144	208	15			PROPN
cana-4144	208	16	ü	ü	NOUN
cana-4144	208	17	ü	ü	PROPN
cana-4144	208	18	ü	ü	NOUN
cana-4144	208	19	.	.	PUNCT
cana-4144	209	1	5	5	X
cana-4144	209	2	.	.	X
cana-4144	210	1	if	if	SCONJ
cana-4144	210	2	1	1	NUM
cana-4144	210	3	2	2	NUM
cana-4144	210	4	ü	ü	PROPN
cana-4144	211	1	ü	ü	NOUN
cana-4144	211	2	then	then	ADV
cana-4144	211	3	1	1	NUM
cana-4144	211	4	1	1	NUM
cana-4144	211	5	1	1	NUM
cana-4144	211	6	2	2	NUM
cana-4144	211	7	−	−	NOUN
cana-4144	211	8	−	−	PROPN
cana-4144	211	9			PROPN
cana-4144	211	10	ü	ü	PROPN
cana-4144	211	11	ü	ü	INTJ
cana-4144	211	12	.	.	PUNCT
cana-4144	212	1	communications	communication	NOUN
cana-4144	212	2	on	on	ADP
cana-4144	212	3	applied	apply	VERB
cana-4144	212	4	nonlinear	nonlinear	ADJ
cana-4144	212	5	analysis	analysis	NOUN
cana-4144	212	6	issn	issn	NOUN
cana-4144	212	7	:	:	PUNCT
cana-4144	212	8	1074	1074	NUM
cana-4144	212	9	-	-	PUNCT
cana-4144	212	10	133x	133x	NUM
cana-4144	212	11	vol	vol	NOUN
cana-4144	212	12	x	x	NOUN
cana-4144	212	13	no	no	INTJ
cana-4144	212	14	.	.	PUNCT
cana-4144	213	1	y	y	PROPN
cana-4144	213	2	(	(	PUNCT
cana-4144	213	3	2025	2025	NUM
cana-4144	213	4	)	)	PUNCT
cana-4144	213	5	1337	1337	NUM
cana-4144	213	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	213	7	6	6	NUM
cana-4144	213	8	.	.	PUNCT
cana-4144	214	1	if	if	SCONJ
cana-4144	214	2	1	1	NUM
cana-4144	214	3	2	2	NUM
cana-4144	214	4	ü	ü	PROPN
cana-4144	214	5	ü	ü	PROPN
cana-4144	214	6	and	and	CCONJ
cana-4144	214	7	2	2	NUM
cana-4144	214	8	2	2	NUM
cana-4144	214	9	ü	ü	PROPN
cana-4144	214	10	ü	ü	NOUN
cana-4144	214	11	,	,	PUNCT
cana-4144	214	12	then	then	ADV
cana-4144	214	13	1	1	NUM
cana-4144	214	14	2	2	NUM
cana-4144	214	15	2	2	NOUN
cana-4144	214	16			PROPN
cana-4144	214	17			PROPN
cana-4144	214	18	ü	ü	NOUN
cana-4144	214	19	ü	ü	PROPN
cana-4144	214	20	ü	ü	NOUN
cana-4144	214	21	.	.	PUNCT
cana-4144	215	1	7	7	X
cana-4144	215	2	.	.	X
cana-4144	216	1	if	if	SCONJ
cana-4144	216	2	2	2	NUM
cana-4144	216	3	1	1	NUM
cana-4144	216	4	ü	ü	PROPN
cana-4144	216	5	ü	ü	PROPN
cana-4144	216	6	and	and	CCONJ
cana-4144	216	7	2	2	NUM
cana-4144	216	8	2	2	NUM
cana-4144	216	9	ü	ü	PROPN
cana-4144	216	10	ü	ü	NOUN
cana-4144	216	11	,	,	PUNCT
cana-4144	216	12	then	then	ADV
cana-4144	216	13	2	2	NUM
cana-4144	216	14	1	1	NUM
cana-4144	216	15	2	2	NOUN
cana-4144	216	16			PROPN
cana-4144	216	17			PROPN
cana-4144	216	18	ü	ü	PROPN
cana-4144	216	19	ü	ü	PROPN
cana-4144	216	20	ü	ü	PROPN
cana-4144	216	21	.	.	PUNCT
cana-4144	217	1	8	8	X
cana-4144	217	2	.	.	PUNCT
cana-4144	218	1	if	if	SCONJ
cana-4144	218	2	1	1	NUM
cana-4144	218	3	2	2	NUM
cana-4144	218	4	ü	ü	PROPN
cana-4144	218	5	ü	ü	NOUN
cana-4144	218	6	,	,	PUNCT
cana-4144	218	7	then	then	ADV
cana-4144	218	8	1	1	NUM
cana-4144	218	9	2	2	NUM
cana-4144	218	10	2	2	NOUN
cana-4144	219	1			PROPN
cana-4144	219	2			PROPN
cana-4144	220	1	=	=	SYM
cana-4144	220	2	ü	ü	PROPN
cana-4144	220	3	ü	ü	NOUN
cana-4144	220	4	ü	ü	NOUN
cana-4144	220	5	and	and	CCONJ
cana-4144	220	6	1	1	NUM
cana-4144	220	7	2	2	NUM
cana-4144	220	8	1	1	NUM
cana-4144	220	9			PROPN
cana-4144	221	1			PROPN
cana-4144	221	2	=	=	SYM
cana-4144	221	3	ü	ü	NOUN
cana-4144	221	4	ü	ü	NOUN
cana-4144	221	5	ü	ü	NOUN
cana-4144	221	6	.	.	PUNCT
cana-4144	222	1	9	9	NUM
cana-4144	222	2	.	.	NOUN
cana-4144	222	3	1	1	NUM
cana-4144	222	4	1	1	NUM
cana-4144	222	5	1	1	NUM
cana-4144	222	6	1	1	NUM
cana-4144	222	7	2	2	NUM
cana-4144	222	8	1	1	NUM
cana-4144	222	9	2	2	NUM
cana-4144	222	10	(	(	PUNCT
cana-4144	222	11	)	)	PUNCT
cana-4144	222	12	−	−	PROPN
cana-4144	223	1	−	−	NOUN
cana-4144	224	1	−	−	PROPN
cana-4144	225	1			PROPN
cana-4144	225	2			PROPN
cana-4144	226	1			PROPN
cana-4144	226	2			PROPN
cana-4144	226	3	=	=	SYM
cana-4144	226	4	ü	ü	PROPN
cana-4144	226	5	ü	ü	NOUN
cana-4144	226	6	ü	ü	NOUN
cana-4144	226	7	ü	ü	NOUN
cana-4144	226	8	,	,	PUNCT
cana-4144	226	9	1	1	NUM
cana-4144	226	10	1	1	NUM
cana-4144	226	11	1	1	NUM
cana-4144	226	12	1	1	NUM
cana-4144	226	13	2	2	NUM
cana-4144	226	14	1	1	NUM
cana-4144	226	15	2	2	NUM
cana-4144	226	16	(	(	PUNCT
cana-4144	226	17	)	)	PUNCT
cana-4144	226	18	−	−	PROPN
cana-4144	227	1	−	−	NOUN
cana-4144	228	1	−	−	PROPN
cana-4144	229	1			PROPN
cana-4144	229	2			PROPN
cana-4144	229	3			PROPN
cana-4144	229	4			PROPN
cana-4144	229	5	=	=	SYM
cana-4144	229	6	ü	ü	PROPN
cana-4144	229	7	ü	ü	NOUN
cana-4144	229	8	ü	ü	NOUN
cana-4144	229	9	ü	ü	NOUN
cana-4144	229	10	.	.	PUNCT
cana-4144	230	1	proof	proof	NOUN
cana-4144	230	2	.	.	PUNCT
cana-4144	231	1	1	1	X
cana-4144	231	2	.	.	X
cana-4144	231	3	let	let	VERB
cana-4144	231	4	(	(	PUNCT
cana-4144	231	5	,	,	PUNCT
cana-4144	231	6	)	)	PUNCT
cana-4144	231	7	g	g	NOUN
cana-4144	231	8	h	h	NOUN
cana-4144	231	9	x	x	X
cana-4144	231	10	y	y	PROPN
cana-4144	231	11			NOUN
cana-4144	231	12	.	.	PUNCT
cana-4144	232	1	then	then	ADV
cana-4144	232	2	(	(	PUNCT
cana-4144	232	3	)	)	PUNCT
cana-4144	232	4	(	(	PUNCT
cana-4144	232	5	)	)	PUNCT
cana-4144	232	6	1	1	NUM
cana-4144	232	7	1	1	NUM
cana-4144	232	8	1	1	NUM
cana-4144	232	9	(	(	PUNCT
cana-4144	232	10	,	,	PUNCT
cana-4144	232	11	)	)	PUNCT
cana-4144	232	12	(	(	PUNCT
cana-4144	232	13	,	,	PUNCT
cana-4144	232	14	)	)	PUNCT
cana-4144	232	15	c	c	PROPN
cana-4144	232	16	cg	cg	NOUN
cana-4144	232	17	h	h	NOUN
cana-4144	232	18	h	h	NOUN
cana-4144	233	1	g	g	NOUN
cana-4144	233	2	−	−	PROPN
cana-4144	233	3	−	−	PROPN
cana-4144	234	1			PROPN
cana-4144	234	2	=ü	=ü	NOUN
cana-4144	235	1	ü	ü	NOUN
cana-4144	235	2	1	1	NUM
cana-4144	235	3	11	11	NUM
cana-4144	235	4	(	(	PUNCT
cana-4144	235	5	,	,	PUNCT
cana-4144	235	6	)	)	PUNCT
cana-4144	235	7	h	h	NOUN
cana-4144	235	8	g−	g−	ADJ
cana-4144	235	9	=	=	NOUN
cana-4144	236	1	−	−	ADP
cana-4144	236	2	−ü	−ü	ADJ
cana-4144	236	3	1	1	NUM
cana-4144	236	4	11	11	NUM
cana-4144	236	5	(	(	PUNCT
cana-4144	236	6	)	)	PUNCT
cana-4144	236	7	(	(	PUNCT
cana-4144	236	8	,	,	PUNCT
cana-4144	236	9	)	)	PUNCT
cana-4144	236	10	g	g	PROPN
cana-4144	236	11	h−	h−	PROPN
cana-4144	236	12	−	−	PROPN
cana-4144	236	13	=	=	PROPN
cana-4144	237	1	−	−	PROPN
cana-4144	237	2	−	−	PROPN
cana-4144	237	3	ü	ü	PROPN
cana-4144	237	4	(	(	PUNCT
cana-4144	237	5	)	)	SYM
cana-4144	237	6	1	1	NUM
cana-4144	237	7	1	1	NUM
cana-4144	237	8	(	(	PUNCT
cana-4144	237	9	,	,	PUNCT
cana-4144	237	10	)	)	PUNCT
cana-4144	237	11	c	c	PROPN
cana-4144	238	1	g	g	PROPN
cana-4144	238	2	h−	h−	PROPN
cana-4144	238	3	=	=	PROPN
cana-4144	238	4	ü	ü	NOUN
cana-4144	238	5	.	.	PUNCT
cana-4144	239	1	2	2	X
cana-4144	239	2	.	.	X
cana-4144	239	3	let	let	VERB
cana-4144	239	4	(	(	PUNCT
cana-4144	239	5	,	,	PUNCT
cana-4144	239	6	)	)	PUNCT
cana-4144	239	7	g	g	NOUN
cana-4144	239	8	h	h	NOUN
cana-4144	239	9	x	x	X
cana-4144	239	10	y	y	PROPN
cana-4144	239	11			NOUN
cana-4144	239	12	.	.	PUNCT
cana-4144	240	1	then	then	ADV
cana-4144	240	2	,	,	PUNCT
cana-4144	240	3	(	(	PUNCT
cana-4144	240	4	)	)	PUNCT
cana-4144	240	5	1	1	NUM
cana-4144	240	6	1	1	NUM
cana-4144	240	7	1	1	NUM
cana-4144	240	8	(	(	PUNCT
cana-4144	240	9	,	,	PUNCT
cana-4144	240	10	)	)	PUNCT
cana-4144	240	11	(	(	PUNCT
cana-4144	240	12	,	,	PUNCT
cana-4144	240	13	)	)	PUNCT
cana-4144	240	14	g	g	NOUN
cana-4144	240	15	h	h	NOUN
cana-4144	240	16	h	h	NOUN
cana-4144	241	1	g	g	NOUN
cana-4144	241	2	−	−	PROPN
cana-4144	242	1			PROPN
cana-4144	242	2	=ü	=ü	PROPN
cana-4144	243	1	ü	ü	INTJ
cana-4144	243	2	.	.	PUNCT
cana-4144	244	1	therefore	therefore	ADV
cana-4144	244	2	,	,	PUNCT
cana-4144	244	3	(	(	PUNCT
cana-4144	244	4	)	)	PUNCT
cana-4144	244	5	(	(	PUNCT
cana-4144	244	6	)	)	PUNCT
cana-4144	244	7	1	1	NUM
cana-4144	244	8	1	1	NUM
cana-4144	244	9	1	1	NUM
cana-4144	244	10	1	1	NUM
cana-4144	244	11	1	1	NUM
cana-4144	244	12	1	1	NUM
cana-4144	244	13	(	(	PUNCT
cana-4144	244	14	,	,	PUNCT
cana-4144	244	15	)	)	PUNCT
cana-4144	244	16	(	(	PUNCT
cana-4144	244	17	(	(	PUNCT
cana-4144	244	18	,	,	PUNCT
cana-4144	244	19	)	)	PUNCT
cana-4144	244	20	)	)	PUNCT
cana-4144	245	1	(	(	PUNCT
cana-4144	245	2	,	,	PUNCT
cana-4144	245	3	)	)	PUNCT
cana-4144	245	4	g	g	NOUN
cana-4144	245	5	h	h	NOUN
cana-4144	245	6	h	h	NOUN
cana-4144	245	7	g	g	PROPN
cana-4144	245	8	g	g	PROPN
cana-4144	245	9	h	h	NOUN
cana-4144	245	10	−	−	PROPN
cana-4144	245	11	−	−	PROPN
cana-4144	246	1	−	−	PROPN
cana-4144	247	1			PROPN
cana-4144	247	2			PROPN
cana-4144	247	3	=	=	PUNCT
cana-4144	248	1	=	=	SYM
cana-4144	248	2	ü	ü	NOUN
cana-4144	248	3	ü	ü	NOUN
cana-4144	248	4	ü	ü	NOUN
cana-4144	248	5	.	.	PUNCT
cana-4144	249	1	3	3	X
cana-4144	249	2	.	.	X
cana-4144	249	3	let	let	VERB
cana-4144	249	4	(	(	PUNCT
cana-4144	249	5	,	,	PUNCT
cana-4144	249	6	)	)	PUNCT
cana-4144	249	7	g	g	NOUN
cana-4144	249	8	h	h	NOUN
cana-4144	249	9	x	x	X
cana-4144	249	10	y	y	PROPN
cana-4144	249	11			NOUN
cana-4144	249	12	.	.	PUNCT
cana-4144	250	1	then	then	ADV
cana-4144	250	2			PRON
cana-4144	250	3	1	1	AUX
cana-4144	250	4	2	2	NUM
cana-4144	250	5	1	1	NUM
cana-4144	250	6	1	1	NUM
cana-4144	250	7	(	(	PUNCT
cana-4144	250	8	)	)	PUNCT
cana-4144	250	9	(	(	PUNCT
cana-4144	250	10	,	,	PUNCT
cana-4144	250	11	)	)	PUNCT
cana-4144	250	12	(	(	PUNCT
cana-4144	250	13	,	,	PUNCT
cana-4144	250	14	)	)	PUNCT
cana-4144	250	15	,	,	PUNCT
cana-4144	250	16	(	(	PUNCT
cana-4144	250	17	,	,	PUNCT
cana-4144	250	18	)	)	PUNCT
cana-4144	250	19	(	(	PUNCT
cana-4144	250	20	,	,	PUNCT
cana-4144	250	21	)	)	PUNCT
cana-4144	251	1	g	g	PROPN
cana-4144	251	2	h	h	PROPN
cana-4144	251	3	max	max	PROPN
cana-4144	251	4	g	g	PROPN
cana-4144	251	5	h	h	PROPN
cana-4144	251	6	s	s	PROPN
cana-4144	251	7	g	g	NOUN
cana-4144	251	8	h	h	NOUN
cana-4144	251	9	g	g	NOUN
cana-4144	251	10	h	h	PROPN
cana-4144	252	1			PROPN
cana-4144	252	2			PROPN
cana-4144	253	1			PROPN
cana-4144	253	2			PROPN
cana-4144	253	3	=	=	SYM
cana-4144	253	4	ü	ü	PROPN
cana-4144	253	5	ü	ü	NOUN
cana-4144	253	6	ü	ü	NOUN
cana-4144	253	7	ü	ü	PROPN
cana-4144	253	8	and	and	CCONJ
cana-4144	253	9			PROPN
cana-4144	253	10	1	1	AUX
cana-4144	253	11	2	2	NUM
cana-4144	253	12	1	1	NUM
cana-4144	253	13	2	2	NUM
cana-4144	253	14	2	2	NUM
cana-4144	253	15	(	(	PUNCT
cana-4144	253	16	)	)	PUNCT
cana-4144	253	17	(	(	PUNCT
cana-4144	253	18	,	,	PUNCT
cana-4144	253	19	)	)	PUNCT
cana-4144	253	20	(	(	PUNCT
cana-4144	253	21	,	,	PUNCT
cana-4144	253	22	)	)	PUNCT
cana-4144	253	23	,	,	PUNCT
cana-4144	253	24	(	(	PUNCT
cana-4144	253	25	,	,	PUNCT
cana-4144	253	26	)	)	PUNCT
cana-4144	253	27	(	(	PUNCT
cana-4144	253	28	,	,	PUNCT
cana-4144	253	29	)	)	PUNCT
cana-4144	253	30	g	g	PROPN
cana-4144	253	31	h	h	PROPN
cana-4144	254	1	max	max	PROPN
cana-4144	254	2	g	g	PROPN
cana-4144	254	3	h	h	PROPN
cana-4144	254	4	g	g	PROPN
cana-4144	254	5	h	h	NOUN
cana-4144	254	6	g	g	NOUN
cana-4144	254	7	h	h	X
cana-4144	255	1			PROPN
cana-4144	255	2			PROPN
cana-4144	256	1			PROPN
cana-4144	256	2			PROPN
cana-4144	256	3	=	=	SYM
cana-4144	256	4	ü	ü	PROPN
cana-4144	256	5	ü	ü	NOUN
cana-4144	256	6	ü	ü	NOUN
cana-4144	256	7	ü	ü	NOUN
cana-4144	256	8	ü	ü	NOUN
cana-4144	256	9	.	.	PUNCT
cana-4144	257	1	4	4	X
cana-4144	257	2	.	.	X
cana-4144	257	3	let	let	VERB
cana-4144	257	4	(	(	PUNCT
cana-4144	257	5	,	,	PUNCT
cana-4144	257	6	)	)	PUNCT
cana-4144	257	7	g	g	NOUN
cana-4144	257	8	h	h	NOUN
cana-4144	257	9	x	x	X
cana-4144	257	10	y	y	PROPN
cana-4144	257	11			INTJ
cana-4144	257	12	.	.	PUNCT
cana-4144	258	1	if	if	SCONJ
cana-4144	258	2	1	1	NUM
cana-4144	258	3	2	2	NUM
cana-4144	258	4	(	(	PUNCT
cana-4144	258	5	,	,	PUNCT
cana-4144	258	6	)	)	PUNCT
cana-4144	258	7	g	g	NOUN
cana-4144	258	8	h	h	NOUN
cana-4144	259	1			PROPN
cana-4144	259	2			NOUN
cana-4144	259	3	ü	ü	PROPN
cana-4144	259	4	ü	ü	PROPN
cana-4144	259	5	,	,	PUNCT
cana-4144	259	6	then	then	ADV
cana-4144	259	7	(	(	PUNCT
cana-4144	259	8	,	,	PUNCT
cana-4144	259	9	)	)	PUNCT
cana-4144	259	10	g	g	NOUN
cana-4144	259	11	h	h	NOUN
cana-4144	259	12	is	be	AUX
cana-4144	259	13	in	in	ADP
cana-4144	259	14	both	both	CCONJ
cana-4144	259	15	1ü	1ü	NOUN
cana-4144	259	16	and	and	CCONJ
cana-4144	259	17	2ü	2ü	NOUN
cana-4144	259	18	.	.	PUNCT
cana-4144	260	1	this	this	PRON
cana-4144	260	2	implies	imply	VERB
cana-4144	260	3	1	1	NUM
cana-4144	260	4	(	(	PUNCT
cana-4144	260	5	,	,	PUNCT
cana-4144	260	6	)	)	PUNCT
cana-4144	260	7	g	g	PROPN
cana-4144	260	8	h	h	PROPN
cana-4144	260	9	ü	ü	PROPN
cana-4144	260	10	.	.	PUNCT
cana-4144	261	1	therefore	therefore	ADV
cana-4144	261	2	1	1	NUM
cana-4144	261	3	2	2	NUM
cana-4144	261	4	1	1	NUM
cana-4144	261	5			PROPN
cana-4144	261	6			PROPN
cana-4144	261	7	ü	ü	NOUN
cana-4144	261	8	ü	ü	PROPN
cana-4144	261	9	ü	ü	NOUN
cana-4144	261	10	.	.	PUNCT
cana-4144	262	1	similarly	similarly	ADV
cana-4144	262	2	1	1	NUM
cana-4144	262	3	2	2	NUM
cana-4144	262	4	2	2	NOUN
cana-4144	262	5			PROPN
cana-4144	262	6			PROPN
cana-4144	262	7	ü	ü	NOUN
cana-4144	262	8	ü	ü	PROPN
cana-4144	262	9	ü	ü	NOUN
cana-4144	262	10	.	.	PUNCT
cana-4144	263	1	5	5	X
cana-4144	263	2	.	.	X
cana-4144	263	3	let	let	VERB
cana-4144	263	4	(	(	PUNCT
cana-4144	263	5	,	,	PUNCT
cana-4144	263	6	)	)	PUNCT
cana-4144	263	7	g	g	NOUN
cana-4144	263	8	h	h	NOUN
cana-4144	263	9	x	x	X
cana-4144	263	10	y	y	PROPN
cana-4144	263	11			INTJ
cana-4144	263	12	.	.	PUNCT
cana-4144	264	1	if	if	SCONJ
cana-4144	264	2	1	1	NUM
cana-4144	264	3	2	2	NUM
cana-4144	264	4	ü	ü	PROPN
cana-4144	264	5	ü	ü	NOUN
cana-4144	264	6	,	,	PUNCT
cana-4144	264	7	this	this	PRON
cana-4144	264	8	implies	imply	VERB
cana-4144	264	9	that	that	SCONJ
cana-4144	264	10	every	every	DET
cana-4144	264	11	pair	pair	NOUN
cana-4144	264	12	(	(	PUNCT
cana-4144	264	13	,	,	PUNCT
cana-4144	264	14	)	)	PUNCT
cana-4144	264	15	h	h	NOUN
cana-4144	264	16	g	g	NOUN
cana-4144	264	17	in	in	ADP
cana-4144	264	18	1ü	1ü	NUM
cana-4144	264	19	must	must	AUX
cana-4144	264	20	also	also	ADV
cana-4144	264	21	be	be	AUX
cana-4144	264	22	in	in	ADP
cana-4144	264	23	2ü	2ü	NOUN
cana-4144	264	24	.	.	PUNCT
cana-4144	265	1	then	then	ADV
cana-4144	265	2	,	,	PUNCT
cana-4144	265	3	1	1	NUM
cana-4144	265	4	1	1	NUM
cana-4144	265	5	1	1	NUM
cana-4144	265	6	(	(	PUNCT
cana-4144	265	7	,	,	PUNCT
cana-4144	265	8	)	)	PUNCT
cana-4144	265	9	(	(	PUNCT
cana-4144	265	10	,	,	PUNCT
cana-4144	265	11	)	)	PUNCT
cana-4144	265	12	g	g	NOUN
cana-4144	265	13	h	h	NOUN
cana-4144	265	14	h	h	NOUN
cana-4144	265	15	g−	g−	VERB
cana-4144	266	1			PROPN
cana-4144	266	2	=ü	=ü	NOUN
cana-4144	266	3	ü	ü	INTJ
cana-4144	266	4	.	.	PUNCT
cana-4144	267	1	therefore	therefore	ADV
cana-4144	267	2	1	1	NUM
cana-4144	267	3	1	1	NUM
cana-4144	267	4	1	1	NUM
cana-4144	267	5	2	2	NUM
cana-4144	267	6	(	(	PUNCT
cana-4144	267	7	,	,	PUNCT
cana-4144	267	8	)	)	PUNCT
cana-4144	267	9	(	(	PUNCT
cana-4144	267	10	,	,	PUNCT
cana-4144	267	11	)	)	PUNCT
cana-4144	267	12	g	g	NOUN
cana-4144	267	13	h	h	NOUN
cana-4144	267	14	g	g	PROPN
cana-4144	267	15	h−	h−	PROPN
cana-4144	267	16	−	−	PROPN
cana-4144	268	1			PROPN
cana-4144	268	2	ü	ü	PROPN
cana-4144	268	3	ü	ü	INTJ
cana-4144	268	4	.	.	PUNCT
cana-4144	269	1	6	6	NUM
cana-4144	269	2	.	.	X
cana-4144	270	1	if	if	SCONJ
cana-4144	270	2	1	1	NUM
cana-4144	270	3	2	2	NUM
cana-4144	270	4	(	(	PUNCT
cana-4144	270	5	,	,	PUNCT
cana-4144	270	6	)	)	PUNCT
cana-4144	270	7	g	g	NOUN
cana-4144	270	8	h	h	NOUN
cana-4144	270	9			PROPN
cana-4144	270	10			NOUN
cana-4144	270	11	ü	ü	PROPN
cana-4144	270	12	ü	ü	NOUN
cana-4144	270	13	,	,	PUNCT
cana-4144	270	14	then	then	ADV
cana-4144	270	15	(	(	PUNCT
cana-4144	270	16	,	,	PUNCT
cana-4144	270	17	)	)	PUNCT
cana-4144	270	18	g	g	NOUN
cana-4144	270	19	h	h	NOUN
cana-4144	270	20	is	be	AUX
cana-4144	270	21	either	either	CCONJ
cana-4144	270	22	in	in	ADP
cana-4144	270	23	1ü	1ü	NOUN
cana-4144	270	24	,	,	PUNCT
cana-4144	270	25	in	in	ADP
cana-4144	270	26	2ü	2ü	NOUN
cana-4144	270	27	or	or	CCONJ
cana-4144	270	28	in	in	ADP
cana-4144	270	29	both	both	CCONJ
cana-4144	270	30	1ü	1ü	NOUN
cana-4144	270	31	and	and	CCONJ
cana-4144	270	32	2ü	2ü	NOUN
cana-4144	270	33	.	.	PUNCT
cana-4144	271	1	since	since	SCONJ
cana-4144	271	2	1	1	NUM
cana-4144	271	3	2	2	NUM
cana-4144	271	4	ü	ü	PROPN
cana-4144	271	5	ü	ü	NOUN
cana-4144	271	6	,	,	PUNCT
cana-4144	271	7	if	if	SCONJ
cana-4144	271	8	1	1	NUM
cana-4144	271	9	(	(	PUNCT
cana-4144	271	10	,	,	PUNCT
cana-4144	271	11	)	)	PUNCT
cana-4144	271	12	g	g	PROPN
cana-4144	271	13	h	h	PROPN
cana-4144	271	14	ü	ü	PROPN
cana-4144	271	15	,	,	PUNCT
cana-4144	271	16	then	then	ADV
cana-4144	271	17	2	2	NUM
cana-4144	271	18	(	(	PUNCT
cana-4144	271	19	,	,	PUNCT
cana-4144	271	20	)	)	PUNCT
cana-4144	271	21	g	g	PROPN
cana-4144	271	22	h	h	PROPN
cana-4144	271	23	ü	ü	PROPN
cana-4144	271	24	.	.	PUNCT
cana-4144	272	1	similarly	similarly	ADV
cana-4144	272	2	,	,	PUNCT
cana-4144	272	3	since	since	SCONJ
cana-4144	272	4	2	2	NUM
cana-4144	272	5	2	2	NUM
cana-4144	272	6	ü	ü	PROPN
cana-4144	272	7	ü	ü	NOUN
cana-4144	272	8	,	,	PUNCT
cana-4144	272	9	if	if	SCONJ
cana-4144	272	10	2	2	NUM
cana-4144	272	11	(	(	PUNCT
cana-4144	272	12	,	,	PUNCT
cana-4144	272	13	)	)	PUNCT
cana-4144	272	14	g	g	PROPN
cana-4144	272	15	h	h	PROPN
cana-4144	272	16	ü	ü	PROPN
cana-4144	272	17	,	,	PUNCT
cana-4144	272	18	then	then	ADV
cana-4144	272	19	2	2	NUM
cana-4144	272	20	(	(	PUNCT
cana-4144	272	21	,	,	PUNCT
cana-4144	272	22	)	)	PUNCT
cana-4144	272	23	g	g	PROPN
cana-4144	272	24	h	h	PROPN
cana-4144	272	25	ü	ü	PROPN
cana-4144	272	26	.	.	PUNCT
cana-4144	273	1	therefore	therefore	ADV
cana-4144	273	2	,	,	PUNCT
cana-4144	273	3	1	1	NUM
cana-4144	273	4	2	2	NUM
cana-4144	273	5	2	2	NUM
cana-4144	273	6	(	(	PUNCT
cana-4144	273	7	,	,	PUNCT
cana-4144	273	8	)	)	PUNCT
cana-4144	273	9	g	g	NOUN
cana-4144	273	10	h	h	NOUN
cana-4144	274	1			PROPN
cana-4144	274	2			PROPN
cana-4144	274	3			PROPN
cana-4144	274	4			PROPN
cana-4144	274	5	ü	ü	NOUN
cana-4144	274	6	ü	ü	PROPN
cana-4144	274	7	ü	ü	PROPN
cana-4144	274	8	,	,	PUNCT
cana-4144	274	9	which	which	PRON
cana-4144	274	10	implies	imply	VERB
cana-4144	274	11	1	1	NUM
cana-4144	274	12	2	2	NUM
cana-4144	274	13	2	2	NOUN
cana-4144	274	14			PROPN
cana-4144	274	15			PROPN
cana-4144	274	16	ü	ü	NOUN
cana-4144	274	17	ü	ü	PROPN
cana-4144	274	18	ü	ü	NOUN
cana-4144	274	19	.	.	PUNCT
cana-4144	275	1	7	7	X
cana-4144	275	2	.	.	X
cana-4144	276	1	if	if	SCONJ
cana-4144	276	2	2	2	NUM
cana-4144	276	3	g	g	NOUN
cana-4144	276	4			NOUN
cana-4144	276	5	ü	ü	PROPN
cana-4144	276	6	,	,	PUNCT
cana-4144	276	7	then	then	ADV
cana-4144	276	8	1	1	NUM
cana-4144	276	9	g	g	NOUN
cana-4144	276	10	ü	ü	PROPN
cana-4144	276	11	because	because	SCONJ
cana-4144	276	12	2	2	NUM
cana-4144	276	13	1	1	NUM
cana-4144	276	14	ü	ü	PROPN
cana-4144	276	15	ü	ü	INTJ
cana-4144	276	16	.	.	PUNCT
cana-4144	277	1	similarly	similarly	ADV
cana-4144	277	2	,	,	PUNCT
cana-4144	277	3	if	if	SCONJ
cana-4144	277	4	2	2	NUM
cana-4144	277	5	g	g	NOUN
cana-4144	277	6			NOUN
cana-4144	277	7	ü	ü	PROPN
cana-4144	277	8	,	,	PUNCT
cana-4144	277	9	then	then	ADV
cana-4144	277	10	2	2	NUM
cana-4144	277	11	g	g	NOUN
cana-4144	277	12			NOUN
cana-4144	277	13	ü	ü	PROPN
cana-4144	277	14	since	since	SCONJ
cana-4144	277	15	2	2	NUM
cana-4144	277	16	2	2	NUM
cana-4144	277	17	ü	ü	PROPN
cana-4144	277	18	ü	ü	INTJ
cana-4144	277	19	.	.	PUNCT
cana-4144	278	1	since	since	SCONJ
cana-4144	278	2	1	1	NUM
cana-4144	278	3	g	g	NOUN
cana-4144	278	4	ü	ü	PROPN
cana-4144	278	5	and	and	CCONJ
cana-4144	278	6	2	2	NUM
cana-4144	278	7	g	g	NOUN
cana-4144	278	8			NOUN
cana-4144	278	9	ü	ü	PROPN
cana-4144	278	10	,	,	PUNCT
cana-4144	278	11	it	it	PRON
cana-4144	278	12	follows	follow	VERB
cana-4144	278	13	that	that	SCONJ
cana-4144	278	14	2	2	NUM
cana-4144	278	15	1	1	NUM
cana-4144	278	16	2	2	NOUN
cana-4144	278	17			PROPN
cana-4144	278	18			PROPN
cana-4144	278	19	ü	ü	PROPN
cana-4144	278	20	ü	ü	PROPN
cana-4144	278	21	ü	ü	PROPN
cana-4144	278	22	.	.	PUNCT
cana-4144	279	1	8	8	X
cana-4144	279	2	.	.	PUNCT
cana-4144	280	1	if	if	SCONJ
cana-4144	280	2	1	1	NUM
cana-4144	280	3	2	2	NUM
cana-4144	280	4	ü	ü	PROPN
cana-4144	280	5	ü	ü	NOUN
cana-4144	280	6	,	,	PUNCT
cana-4144	280	7	then	then	ADV
cana-4144	280	8	every	every	DET
cana-4144	280	9	element	element	NOUN
cana-4144	280	10	in	in	ADP
cana-4144	280	11	1ü	1ü	PROPN
cana-4144	280	12	is	be	AUX
cana-4144	280	13	also	also	ADV
cana-4144	280	14	an	an	DET
cana-4144	280	15	element	element	NOUN
cana-4144	280	16	in	in	ADP
cana-4144	280	17	2ü	2ü	NOUN
cana-4144	280	18	.	.	PUNCT
cana-4144	281	1	since	since	SCONJ
cana-4144	281	2	every	every	DET
cana-4144	281	3	element	element	NOUN
cana-4144	281	4	in	in	ADP
cana-4144	281	5	1ü	1ü	PROPN
cana-4144	281	6	is	be	AUX
cana-4144	281	7	already	already	ADV
cana-4144	281	8	present	present	ADJ
cana-4144	281	9	in	in	ADP
cana-4144	281	10	2ü	2ü	NOUN
cana-4144	281	11	,	,	PUNCT
cana-4144	281	12	the	the	DET
cana-4144	281	13	union	union	NOUN
cana-4144	281	14	1	1	NUM
cana-4144	281	15	2	2	NUM
cana-4144	281	16	ü	ü	NOUN
cana-4144	282	1	ü	ü	PROPN
cana-4144	282	2	does	do	AUX
cana-4144	282	3	not	not	PART
cana-4144	282	4	add	add	VERB
cana-4144	282	5	any	any	DET
cana-4144	282	6	new	new	ADJ
cana-4144	282	7	elements	element	NOUN
cana-4144	282	8	to	to	ADP
cana-4144	282	9	2ü	2ü	NOUN
cana-4144	282	10	.	.	PUNCT
cana-4144	283	1	therefore	therefore	ADV
cana-4144	283	2	1	1	NUM
cana-4144	283	3	2	2	NUM
cana-4144	283	4	2	2	NOUN
cana-4144	283	5			PROPN
cana-4144	283	6			PROPN
cana-4144	284	1	=	=	SYM
cana-4144	284	2	ü	ü	PROPN
cana-4144	284	3	ü	ü	NOUN
cana-4144	284	4	ü	ü	PROPN
cana-4144	284	5	.	.	PUNCT
cana-4144	285	1	similarly	similarly	ADV
cana-4144	285	2	,	,	PUNCT
cana-4144	285	3	1	1	NUM
cana-4144	285	4	2	2	NUM
cana-4144	285	5	1	1	NOUN
cana-4144	285	6			PROPN
cana-4144	285	7			PROPN
cana-4144	285	8	=	=	SYM
cana-4144	285	9	ü	ü	NOUN
cana-4144	285	10	ü	ü	NOUN
cana-4144	285	11	ü	ü	NOUN
cana-4144	285	12	.	.	PUNCT
cana-4144	286	1	all	all	DET
cana-4144	286	2	elements	element	NOUN
cana-4144	286	3	in	in	ADP
cana-4144	286	4	1ü	1ü	PROPN
cana-4144	286	5	are	be	AUX
cana-4144	286	6	also	also	ADV
cana-4144	286	7	in	in	ADP
cana-4144	286	8	2ü	2ü	NOUN
cana-4144	286	9	because	because	SCONJ
cana-4144	286	10	1	1	NUM
cana-4144	286	11	2	2	NUM
cana-4144	286	12	ü	ü	PROPN
cana-4144	286	13	ü	ü	INTJ
cana-4144	286	14	.	.	PUNCT
cana-4144	287	1	as	as	ADP
cana-4144	287	2	a	a	DET
cana-4144	287	3	result	result	NOUN
cana-4144	287	4	,	,	PUNCT
cana-4144	287	5	when	when	SCONJ
cana-4144	287	6	we	we	PRON
cana-4144	287	7	take	take	VERB
cana-4144	287	8	the	the	DET
cana-4144	287	9	intersection	intersection	NOUN
cana-4144	287	10	1	1	NUM
cana-4144	287	11	2	2	NUM
cana-4144	287	12	ü	ü	NOUN
cana-4144	287	13	ü	ü	INTJ
cana-4144	287	14	.	.	PUNCT
cana-4144	288	1	we	we	PRON
cana-4144	288	2	only	only	ADV
cana-4144	288	3	include	include	VERB
cana-4144	288	4	the	the	DET
cana-4144	288	5	elements	element	NOUN
cana-4144	288	6	in	in	ADP
cana-4144	288	7	1ü	1ü	NOUN
cana-4144	288	8	that	that	PRON
cana-4144	288	9	are	be	AUX
cana-4144	288	10	identical	identical	ADJ
cana-4144	288	11	to	to	ADP
cana-4144	288	12	those	those	PRON
cana-4144	288	13	in	in	ADP
cana-4144	288	14	2ü	2ü	NOUN
cana-4144	288	15	.	.	PUNCT
cana-4144	289	1	hence	hence	ADV
cana-4144	289	2	1	1	NUM
cana-4144	289	3	2	2	NUM
cana-4144	289	4	1	1	NOUN
cana-4144	289	5			PROPN
cana-4144	289	6			PROPN
cana-4144	289	7	=	=	SYM
cana-4144	289	8	ü	ü	NOUN
cana-4144	289	9	ü	ü	NOUN
cana-4144	289	10	ü	ü	NOUN
cana-4144	289	11	.	.	PUNCT
cana-4144	290	1	9	9	X
cana-4144	290	2	.	.	X
cana-4144	291	1	if	if	SCONJ
cana-4144	291	2	1	1	NUM
cana-4144	291	3	1	1	NUM
cana-4144	291	4	2	2	NUM
cana-4144	291	5	(	(	PUNCT
cana-4144	291	6	,	,	PUNCT
cana-4144	291	7	)	)	PUNCT
cana-4144	291	8	(	(	PUNCT
cana-4144	291	9	)	)	PUNCT
cana-4144	291	10	g	g	NOUN
cana-4144	291	11	h	h	NOUN
cana-4144	291	12	−	−	PROPN
cana-4144	291	13			PROPN
cana-4144	291	14			NOUN
cana-4144	291	15	ü	ü	PROPN
cana-4144	291	16	ü	ü	NOUN
cana-4144	291	17	,	,	PUNCT
cana-4144	291	18	then	then	ADV
cana-4144	291	19	by	by	ADP
cana-4144	291	20	definition~\ref{d1	definition~\ref{d1	NOUN
cana-4144	291	21	}	}	PUNCT
cana-4144	291	22	1	1	NUM
cana-4144	291	23	2	2	NUM
cana-4144	291	24	(	(	PUNCT
cana-4144	291	25	,	,	PUNCT
cana-4144	291	26	)	)	PUNCT
cana-4144	291	27	h	h	NOUN
cana-4144	291	28	g	g	PROPN
cana-4144	291	29			PROPN
cana-4144	291	30			NOUN
cana-4144	291	31	ü	ü	PROPN
cana-4144	291	32	ü	ü	NOUN
cana-4144	291	33	.	.	PUNCT
cana-4144	292	1	therefore	therefore	ADV
cana-4144	292	2	1	1	NUM
cana-4144	292	3	(	(	PUNCT
cana-4144	292	4	,	,	PUNCT
cana-4144	292	5	)	)	PUNCT
cana-4144	292	6	h	h	PROPN
cana-4144	292	7	g	g	PROPN
cana-4144	292	8	ü	ü	PROPN
cana-4144	292	9	or	or	CCONJ
cana-4144	292	10	2	2	NUM
cana-4144	292	11	(	(	PUNCT
cana-4144	292	12	,	,	PUNCT
cana-4144	292	13	)	)	PUNCT
cana-4144	292	14	h	h	NOUN
cana-4144	292	15	g	g	PROPN
cana-4144	292	16	ü	ü	PROPN
cana-4144	292	17	.	.	PUNCT
cana-4144	293	1	if	if	SCONJ
cana-4144	293	2	1	1	NUM
cana-4144	293	3	(	(	PUNCT
cana-4144	293	4	,	,	PUNCT
cana-4144	293	5	)	)	PUNCT
cana-4144	294	1	h	h	PROPN
cana-4144	294	2	g	g	PROPN
cana-4144	294	3	ü	ü	PROPN
cana-4144	294	4	then	then	ADV
cana-4144	294	5	1	1	NUM
cana-4144	294	6	1	1	NUM
cana-4144	294	7	(	(	PUNCT
cana-4144	294	8	,	,	PUNCT
cana-4144	294	9	)	)	PUNCT
cana-4144	294	10	g	g	NOUN
cana-4144	294	11	h	h	NOUN
cana-4144	294	12	−	−	PROPN
cana-4144	294	13	ü	ü	PROPN
cana-4144	294	14	.	.	PUNCT
cana-4144	295	1	similarly	similarly	ADV
cana-4144	295	2	,	,	PUNCT
cana-4144	295	3	if	if	SCONJ
cana-4144	295	4	2	2	NUM
cana-4144	295	5	(	(	PUNCT
cana-4144	295	6	,	,	PUNCT
cana-4144	295	7	)	)	PUNCT
cana-4144	295	8	h	h	PROPN
cana-4144	295	9	g	g	PROPN
cana-4144	295	10	ü	ü	PROPN
cana-4144	295	11	then	then	ADV
cana-4144	295	12	1	1	NUM
cana-4144	295	13	2	2	NUM
cana-4144	295	14	(	(	PUNCT
cana-4144	295	15	,	,	PUNCT
cana-4144	295	16	)	)	PUNCT
cana-4144	295	17	g	g	NOUN
cana-4144	295	18	h	h	NOUN
cana-4144	295	19	−	−	PROPN
cana-4144	295	20	ü	ü	PROPN
cana-4144	295	21	,	,	PUNCT
cana-4144	295	22	which	which	PRON
cana-4144	295	23	implies	imply	VERB
cana-4144	295	24	1	1	NUM
cana-4144	295	25	1	1	NUM
cana-4144	295	26	1	1	NUM
cana-4144	295	27	2	2	NUM
cana-4144	295	28	(	(	PUNCT
cana-4144	295	29	,	,	PUNCT
cana-4144	295	30	)	)	PUNCT
cana-4144	295	31	g	g	NOUN
cana-4144	295	32	h	h	NOUN
cana-4144	295	33	−	−	NOUN
cana-4144	296	1	−	−	PROPN
cana-4144	297	1			PROPN
cana-4144	297	2			NOUN
cana-4144	297	3	ü	ü	PROPN
cana-4144	297	4	ü	ü	NOUN
cana-4144	297	5	.	.	PUNCT
cana-4144	298	1	therefore	therefore	ADV
cana-4144	298	2	1	1	NUM
cana-4144	298	3	1	1	NUM
cana-4144	298	4	1	1	NUM
cana-4144	298	5	1	1	NUM
cana-4144	298	6	2	2	NUM
cana-4144	298	7	1	1	NUM
cana-4144	298	8	2	2	NUM
cana-4144	298	9	(	(	PUNCT
cana-4144	298	10	)	)	PUNCT
cana-4144	298	11	−	−	PROPN
cana-4144	298	12	−	−	NOUN
cana-4144	299	1	−	−	PROPN
cana-4144	300	1			PROPN
cana-4144	300	2			PROPN
cana-4144	301	1			PROPN
cana-4144	301	2			VERB
cana-4144	301	3			PROPN
cana-4144	301	4	ü	ü	PROPN
cana-4144	301	5	ü	ü	NOUN
cana-4144	301	6	ü	ü	NOUN
cana-4144	301	7	ü	ü	NOUN
cana-4144	301	8	.	.	PUNCT
cana-4144	302	1	conversely	conversely	ADV
cana-4144	302	2	,	,	PUNCT
cana-4144	302	3	if	if	SCONJ
cana-4144	302	4	1	1	NUM
cana-4144	302	5	1	1	NUM
cana-4144	302	6	1	1	NUM
cana-4144	302	7	2	2	NUM
cana-4144	302	8	(	(	PUNCT
cana-4144	302	9	,	,	PUNCT
cana-4144	302	10	)	)	PUNCT
cana-4144	302	11	h	h	NOUN
cana-4144	302	12	g	g	NOUN
cana-4144	302	13	−	−	PROPN
cana-4144	302	14	−	−	PROPN
cana-4144	303	1			PROPN
cana-4144	303	2			NOUN
cana-4144	303	3	ü	ü	PROPN
cana-4144	303	4	ü	ü	NOUN
cana-4144	303	5	,	,	PUNCT
cana-4144	303	6	then	then	ADV
cana-4144	303	7	1	1	NUM
cana-4144	303	8	1	1	NUM
cana-4144	303	9	(	(	PUNCT
cana-4144	303	10	,	,	PUNCT
cana-4144	303	11	)	)	PUNCT
cana-4144	303	12	h	h	PROPN
cana-4144	303	13	g	g	NOUN
cana-4144	303	14	−	−	PROPN
cana-4144	303	15	ü	ü	PROPN
cana-4144	303	16	or	or	CCONJ
cana-4144	303	17	1	1	NUM
cana-4144	303	18	2	2	NUM
cana-4144	303	19	(	(	PUNCT
cana-4144	303	20	,	,	PUNCT
cana-4144	303	21	)	)	PUNCT
cana-4144	303	22	h	h	PROPN
cana-4144	303	23	g	g	PROPN
cana-4144	303	24	−	−	PROPN
cana-4144	303	25	ü	ü	PROPN
cana-4144	303	26	.	.	PUNCT
cana-4144	304	1	if	if	SCONJ
cana-4144	304	2	1	1	NUM
cana-4144	304	3	1	1	NUM
cana-4144	304	4	(	(	PUNCT
cana-4144	304	5	,	,	PUNCT
cana-4144	304	6	)	)	PUNCT
cana-4144	304	7	h	h	PROPN
cana-4144	304	8	g	g	NOUN
cana-4144	304	9	−	−	PROPN
cana-4144	304	10	ü	ü	PROPN
cana-4144	304	11	,	,	PUNCT
cana-4144	304	12	then	then	ADV
cana-4144	304	13	1	1	NUM
cana-4144	304	14	(	(	PUNCT
cana-4144	304	15	,	,	PUNCT
cana-4144	304	16	)	)	PUNCT
cana-4144	304	17	g	g	PROPN
cana-4144	304	18	h	h	PROPN
cana-4144	304	19	ü	ü	PROPN
cana-4144	304	20	.	.	PUNCT
cana-4144	305	1	similarly	similarly	ADV
cana-4144	305	2	,	,	PUNCT
cana-4144	305	3	if	if	SCONJ
cana-4144	305	4	1	1	NUM
cana-4144	305	5	2	2	NUM
cana-4144	305	6	,	,	PUNCT
cana-4144	305	7	(	(	PUNCT
cana-4144	305	8	,	,	PUNCT
cana-4144	305	9	)	)	PUNCT
cana-4144	305	10	h	h	NOUN
cana-4144	305	11	g	g	PROPN
cana-4144	305	12	−	−	PROPN
cana-4144	305	13	ü	ü	PROPN
cana-4144	305	14	then	then	ADV
cana-4144	305	15	2	2	NUM
cana-4144	305	16	(	(	PUNCT
cana-4144	305	17	,	,	PUNCT
cana-4144	305	18	)	)	PUNCT
cana-4144	305	19	g	g	PROPN
cana-4144	305	20	h	h	PROPN
cana-4144	305	21	ü	ü	PROPN
cana-4144	305	22	.	.	PUNCT
cana-4144	306	1	which	which	PRON
cana-4144	306	2	implies	imply	VERB
cana-4144	306	3	1	1	NUM
cana-4144	306	4	1	1	NUM
cana-4144	306	5	1	1	NUM
cana-4144	306	6	2	2	NUM
cana-4144	306	7	(	(	PUNCT
cana-4144	306	8	,	,	PUNCT
cana-4144	306	9	)	)	PUNCT
cana-4144	306	10	g	g	NOUN
cana-4144	306	11	h	h	NOUN
cana-4144	306	12	−	−	NOUN
cana-4144	307	1	−	−	PROPN
cana-4144	308	1			PROPN
cana-4144	308	2			NOUN
cana-4144	308	3	ü	ü	PROPN
cana-4144	308	4	ü	ü	NOUN
cana-4144	308	5	.	.	PUNCT
cana-4144	309	1	therefore	therefore	ADV
cana-4144	309	2	1	1	NUM
cana-4144	309	3	1	1	NUM
cana-4144	309	4	1	1	NUM
cana-4144	309	5	1	1	NUM
cana-4144	309	6	2	2	NUM
cana-4144	309	7	1	1	NUM
cana-4144	309	8	2	2	NUM
cana-4144	309	9	(	(	PUNCT
cana-4144	309	10	)	)	PUNCT
cana-4144	309	11	−	−	PROPN
cana-4144	309	12	−	−	NOUN
cana-4144	310	1	−	−	PROPN
cana-4144	311	1			PROPN
cana-4144	311	2			PROPN
cana-4144	312	1			PROPN
cana-4144	312	2			VERB
cana-4144	312	3			PROPN
cana-4144	312	4	ü	ü	PROPN
cana-4144	312	5	ü	ü	NOUN
cana-4144	312	6	ü	ü	NOUN
cana-4144	312	7	ü	ü	PROPN
cana-4144	312	8	.	.	PUNCT
cana-4144	313	1	finally	finally	ADV
cana-4144	313	2	,	,	PUNCT
cana-4144	313	3	1	1	NUM
cana-4144	313	4	1	1	NUM
cana-4144	313	5	1	1	NUM
cana-4144	313	6	1	1	NUM
cana-4144	313	7	2	2	NUM
cana-4144	313	8	1	1	NUM
cana-4144	313	9	2	2	NUM
cana-4144	313	10	(	(	PUNCT
cana-4144	313	11	)	)	PUNCT
cana-4144	313	12	−	−	PROPN
cana-4144	314	1	−	−	NOUN
cana-4144	315	1	−	−	PROPN
cana-4144	316	1			PROPN
cana-4144	316	2			PROPN
cana-4144	317	1			PROPN
cana-4144	317	2			PROPN
cana-4144	317	3	=	=	SYM
cana-4144	317	4	ü	ü	PROPN
cana-4144	317	5	ü	ü	NOUN
cana-4144	317	6	ü	ü	NOUN
cana-4144	317	7	ü	ü	PROPN
cana-4144	317	8	.	.	PUNCT
cana-4144	318	1	similarly	similarly	ADV
cana-4144	318	2	,	,	PUNCT
cana-4144	318	3	1	1	NUM
cana-4144	318	4	1	1	NUM
cana-4144	318	5	1	1	NUM
cana-4144	318	6	1	1	NUM
cana-4144	318	7	2	2	NUM
cana-4144	318	8	1	1	NUM
cana-4144	318	9	2	2	NUM
cana-4144	318	10	(	(	PUNCT
cana-4144	318	11	)	)	PUNCT
cana-4144	318	12	−	−	PROPN
cana-4144	319	1	−	−	NOUN
cana-4144	320	1	−	−	PROPN
cana-4144	321	1			PROPN
cana-4144	321	2			PROPN
cana-4144	321	3			PROPN
cana-4144	321	4			PROPN
cana-4144	321	5	=	=	SYM
cana-4144	321	6	ü	ü	PROPN
cana-4144	321	7	ü	ü	NOUN
cana-4144	321	8	ü	ü	NOUN
cana-4144	321	9	ü	ü	PROPN
cana-4144	321	10	.	.	PUNCT
cana-4144	322	1	communications	communication	NOUN
cana-4144	322	2	on	on	ADP
cana-4144	322	3	applied	apply	VERB
cana-4144	322	4	nonlinear	nonlinear	ADJ
cana-4144	322	5	analysis	analysis	NOUN
cana-4144	322	6	issn	issn	NOUN
cana-4144	322	7	:	:	PUNCT
cana-4144	322	8	1074	1074	NUM
cana-4144	322	9	-	-	PUNCT
cana-4144	322	10	133x	133x	NUM
cana-4144	322	11	vol	vol	NOUN
cana-4144	322	12	x	x	NOUN
cana-4144	322	13	no	no	INTJ
cana-4144	322	14	.	.	PUNCT
cana-4144	323	1	y	y	PROPN
cana-4144	323	2	(	(	PUNCT
cana-4144	323	3	2025	2025	NUM
cana-4144	323	4	)	)	PUNCT
cana-4144	323	5	1338	1338	NUM
cana-4144	323	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	323	7	theorem	theorem	VERB
cana-4144	323	8	3.2	3.2	NUM
cana-4144	323	9	.	.	PUNCT
cana-4144	324	1	let	let	VERB
cana-4144	324	2	1	1	NUM
cana-4144	324	3	2	2	NUM
cana-4144	324	4	3	3	NUM
cana-4144	324	5	,	,	PUNCT
cana-4144	324	6	,	,	PUNCT
cana-4144	324	7	(	(	PUNCT
cana-4144	324	8	)	)	PUNCT
cana-4144	324	9	signed	sign	VERB
cana-4144	324	10	fr	fr	NOUN
cana-4144	324	11	x	x	PROPN
cana-4144	324	12	y	y	PROPN
cana-4144	325	1			PROPN
cana-4144	325	2			PROPN
cana-4144	325	3			NOUN
cana-4144	325	4	−	−	PROPN
cana-4144	325	5	ü	ü	VERB
cana-4144	325	6	ü	ü	NOUN
cana-4144	325	7	ü	ü	NOUN
cana-4144	325	8	and	and	CCONJ
cana-4144	325	9	let	let	VERB
cana-4144	325	10	(	(	PUNCT
cana-4144	325	11	)	)	PUNCT
cana-4144	325	12	(	(	PUNCT
cana-4144	325	13	)	)	PUNCT
cana-4144	326	1	i	i	PRON
cana-4144	326	2	i	i	PRON
cana-4144	327	1	i	i	PRON
cana-4144	327	2	signed	sign	VERB
cana-4144	327	3	fr	fr	NOUN
cana-4144	327	4	x	x	PROPN
cana-4144	327	5	y	y	PROPN
cana-4144	327	6			NOUN
cana-4144	328	1			PROPN
cana-4144	328	2	−	−	PROPN
cana-4144	328	3	ü	ü	VERB
cana-4144	328	4	.	.	PUNCT
cana-4144	329	1	then	then	ADV
cana-4144	329	2	1	1	NUM
cana-4144	329	3	.	.	NOUN
cana-4144	329	4	1	1	NUM
cana-4144	329	5	1	1	NUM
cana-4144	329	6	1	1	NUM
cana-4144	330	1			PROPN
cana-4144	330	2			PROPN
cana-4144	330	3	=	=	SYM
cana-4144	330	4	ü	ü	PROPN
cana-4144	330	5	ü	ü	NOUN
cana-4144	330	6	ü	ü	NOUN
cana-4144	330	7	,	,	PUNCT
cana-4144	330	8	1	1	NUM
cana-4144	330	9	1	1	NUM
cana-4144	330	10	1	1	NUM
cana-4144	330	11			PROPN
cana-4144	330	12			PROPN
cana-4144	330	13	=	=	SYM
cana-4144	330	14	ü	ü	NOUN
cana-4144	330	15	ü	ü	NOUN
cana-4144	330	16	ü	ü	NOUN
cana-4144	330	17	idempotent	idempotent	ADJ
cana-4144	330	18	laws	law	NOUN
cana-4144	330	19	2	2	NUM
cana-4144	330	20	.	.	NOUN
cana-4144	330	21	1	1	NUM
cana-4144	330	22	2	2	NUM
cana-4144	330	23	2	2	NUM
cana-4144	330	24	1	1	NOUN
cana-4144	330	25			PROPN
cana-4144	330	26			PROPN
cana-4144	330	27			PROPN
cana-4144	330	28	=	=	SYM
cana-4144	330	29	ü	ü	PROPN
cana-4144	330	30	ü	ü	NOUN
cana-4144	330	31	ü	ü	NOUN
cana-4144	330	32	ü	ü	NOUN
cana-4144	330	33	,	,	PUNCT
cana-4144	330	34	1	1	NUM
cana-4144	330	35	2	2	NUM
cana-4144	330	36	2	2	NUM
cana-4144	330	37	1	1	NOUN
cana-4144	331	1			PROPN
cana-4144	331	2			PROPN
cana-4144	331	3			PROPN
cana-4144	331	4	=	=	SYM
cana-4144	331	5	ü	ü	PROPN
cana-4144	331	6	ü	ü	NOUN
cana-4144	331	7	ü	ü	NOUN
cana-4144	331	8	ü	ü	NOUN
cana-4144	331	9	commutative	commutative	ADJ
cana-4144	331	10	laws	law	NOUN
cana-4144	331	11	3	3	NUM
cana-4144	331	12	.	.	PUNCT
cana-4144	331	13	(	(	PUNCT
cana-4144	331	14	)	)	PUNCT
cana-4144	331	15	(	(	PUNCT
cana-4144	331	16	)	)	SYM
cana-4144	331	17	1	1	NUM
cana-4144	331	18	2	2	NUM
cana-4144	331	19	3	3	NUM
cana-4144	331	20	1	1	NUM
cana-4144	331	21	2	2	NUM
cana-4144	331	22	3	3	NUM
cana-4144	332	1			PROPN
cana-4144	332	2			PROPN
cana-4144	333	1			PROPN
cana-4144	333	2			PROPN
cana-4144	333	3			PROPN
cana-4144	333	4			PROPN
cana-4144	333	5	=	=	SYM
cana-4144	333	6			NOUN
cana-4144	333	7	ü	ü	PROPN
cana-4144	333	8	ü	ü	NOUN
cana-4144	333	9	ü	ü	NOUN
cana-4144	333	10	ü	ü	NOUN
cana-4144	333	11	ü	ü	NOUN
cana-4144	333	12	ü	ü	NOUN
cana-4144	333	13	,	,	PUNCT
cana-4144	333	14	(	(	PUNCT
cana-4144	333	15	)	)	PUNCT
cana-4144	333	16	(	(	PUNCT
cana-4144	333	17	)	)	SYM
cana-4144	333	18	1	1	NUM
cana-4144	333	19	2	2	NUM
cana-4144	333	20	3	3	NUM
cana-4144	333	21	1	1	NUM
cana-4144	333	22	2	2	NUM
cana-4144	333	23	3	3	NUM
cana-4144	334	1			PROPN
cana-4144	334	2			PROPN
cana-4144	335	1			PROPN
cana-4144	335	2			PROPN
cana-4144	335	3			PROPN
cana-4144	335	4			VERB
cana-4144	335	5	=	=	SYM
cana-4144	335	6			X
cana-4144	335	7	ü	ü	NOUN
cana-4144	335	8	ü	ü	NOUN
cana-4144	335	9	ü	ü	NOUN
cana-4144	335	10	ü	ü	NOUN
cana-4144	335	11	ü	ü	NOUN
cana-4144	335	12	ü	ü	PROPN
cana-4144	335	13	.	.	PUNCT
cana-4144	336	1	associative	associative	ADJ
cana-4144	336	2	laws	law	NOUN
cana-4144	336	3	4	4	NUM
cana-4144	336	4	.	.	PUNCT
cana-4144	337	1	(	(	PUNCT
cana-4144	337	2	)	)	PUNCT
cana-4144	337	3	(	(	PUNCT
cana-4144	337	4	)	)	PUNCT
cana-4144	337	5	(	(	PUNCT
cana-4144	337	6	)	)	SYM
cana-4144	337	7	1	1	NUM
cana-4144	337	8	2	2	NUM
cana-4144	337	9	3	3	NUM
cana-4144	337	10	1	1	NUM
cana-4144	337	11	2	2	NUM
cana-4144	337	12	1	1	NUM
cana-4144	337	13	3	3	NUM
cana-4144	338	1			PROPN
cana-4144	339	1			PROPN
cana-4144	340	1			PROPN
cana-4144	341	1			PROPN
cana-4144	341	2			PROPN
cana-4144	341	3			PROPN
cana-4144	341	4			X
cana-4144	341	5	=	=	SYM
cana-4144	341	6			NOUN
cana-4144	341	7			PUNCT
cana-4144	341	8	ü	ü	NOUN
cana-4144	341	9	ü	ü	NOUN
cana-4144	341	10	ü	ü	NOUN
cana-4144	341	11	ü	ü	NOUN
cana-4144	341	12	ü	ü	NOUN
cana-4144	341	13	ü	ü	NOUN
cana-4144	341	14	ü	ü	NOUN
cana-4144	341	15	,	,	PUNCT
cana-4144	341	16	(	(	PUNCT
cana-4144	341	17	)	)	PUNCT
cana-4144	341	18	(	(	PUNCT
cana-4144	341	19	)	)	PUNCT
cana-4144	341	20	(	(	PUNCT
cana-4144	341	21	)	)	SYM
cana-4144	341	22	1	1	NUM
cana-4144	341	23	2	2	NUM
cana-4144	341	24	3	3	NUM
cana-4144	341	25	1	1	NUM
cana-4144	341	26	2	2	NUM
cana-4144	341	27	1	1	NUM
cana-4144	341	28	3	3	NUM
cana-4144	342	1			PROPN
cana-4144	342	2			PROPN
cana-4144	343	1			PROPN
cana-4144	344	1			PROPN
cana-4144	344	2			PROPN
cana-4144	345	1			PROPN
cana-4144	345	2			NOUN
cana-4144	345	3	=	=	SYM
cana-4144	345	4			X
cana-4144	345	5			NOUN
cana-4144	345	6	ü	ü	NOUN
cana-4144	345	7	ü	ü	NOUN
cana-4144	345	8	ü	ü	NOUN
cana-4144	345	9	ü	ü	NOUN
cana-4144	345	10	ü	ü	NOUN
cana-4144	345	11	ü	ü	NOUN
cana-4144	345	12	ü	ü	NOUN
cana-4144	345	13	distributive	distributive	ADJ
cana-4144	345	14	laws	law	NOUN
cana-4144	345	15	5	5	NUM
cana-4144	345	16	.	.	PUNCT
cana-4144	345	17	(	(	PUNCT
cana-4144	345	18	)	)	PUNCT
cana-4144	345	19	1	1	NUM
cana-4144	345	20	1i	1i	NOUN
cana-4144	346	1	i	i	PRON
cana-4144	346	2	i	i	PRON
cana-4144	347	1	i	i	PRON
cana-4144	347	2	i	i	PRON
cana-4144	348	1	i	i	PRON
cana-4144	349	1			PROPN
cana-4144	350	1			PROPN
cana-4144	351	1			PROPN
cana-4144	351	2			PROPN
cana-4144	351	3			NOUN
cana-4144	351	4			NOUN
cana-4144	351	5			NOUN
cana-4144	351	6			NOUN
cana-4144	351	7			PUNCT
cana-4144	351	8	=	=	PUNCT
cana-4144	351	9			PROPN
cana-4144	351	10			PROPN
cana-4144	351	11			ADJ
cana-4144	351	12			PROPN
cana-4144	351	13	ü	ü	NOUN
cana-4144	351	14	ü	ü	NOUN
cana-4144	351	15	ü	ü	NOUN
cana-4144	351	16	ü	ü	NOUN
cana-4144	351	17	,	,	PUNCT
cana-4144	351	18	1	1	NUM
cana-4144	351	19	1	1	NUM
cana-4144	351	20	(	(	PUNCT
cana-4144	351	21	)	)	PUNCT
cana-4144	351	22	i	i	PRON
cana-4144	352	1	i	i	PRON
cana-4144	352	2	i	i	PRON
cana-4144	353	1	i	i	PRON
cana-4144	353	2	i	i	PRON
cana-4144	354	1	i	i	PRON
cana-4144	354	2	r	r	VERB
cana-4144	354	3			PROPN
cana-4144	354	4			PROPN
cana-4144	354	5			PROPN
cana-4144	354	6			NOUN
cana-4144	354	7			PROPN
cana-4144	354	8			NOUN
cana-4144	354	9			PROPN
cana-4144	354	10			PROPN
cana-4144	354	11	=	=	PROPN
cana-4144	354	12			PROPN
cana-4144	354	13			PROPN
cana-4144	354	14			PROPN
cana-4144	354	15			PROPN
cana-4144	354	16	ü	ü	NOUN
cana-4144	354	17	ü	ü	NOUN
cana-4144	354	18	ü	ü	PROPN
cana-4144	354	19	.	.	PUNCT
cana-4144	355	1	generalized	generalize	VERB
cana-4144	355	2	distributive	distributive	ADJ
cana-4144	355	3	laws	law	NOUN
cana-4144	355	4	6	6	NUM
cana-4144	355	5	.	.	PUNCT
cana-4144	356	1	(	(	PUNCT
cana-4144	356	2	)	)	SYM
cana-4144	356	3	1	1	NUM
cana-4144	356	4	1	1	NUM
cana-4144	356	5	2	2	NUM
cana-4144	356	6	1	1	NUM
cana-4144	356	7			PROPN
cana-4144	356	8			PROPN
cana-4144	356	9			PROPN
cana-4144	356	10			ADJ
cana-4144	356	11	=	=	NOUN
cana-4144	356	12	ü	ü	NOUN
cana-4144	356	13	ü	ü	NOUN
cana-4144	356	14	ü	ü	NOUN
cana-4144	356	15	ü	ü	NOUN
cana-4144	356	16	,	,	PUNCT
cana-4144	356	17	(	(	PUNCT
cana-4144	356	18	)	)	SYM
cana-4144	356	19	1	1	NUM
cana-4144	356	20	1	1	NUM
cana-4144	356	21	2	2	NUM
cana-4144	356	22	1	1	NUM
cana-4144	356	23			PROPN
cana-4144	356	24			PROPN
cana-4144	356	25			PROPN
cana-4144	356	26			NOUN
cana-4144	356	27	=	=	PROPN
cana-4144	356	28	ü	ü	NOUN
cana-4144	356	29	ü	ü	NOUN
cana-4144	356	30	ü	ü	NOUN
cana-4144	356	31	ü	ü	NOUN
cana-4144	356	32	absorption	absorption	NOUN
cana-4144	356	33	laws	law	NOUN
cana-4144	356	34	7	7	NUM
cana-4144	356	35	.	.	PUNCT
cana-4144	357	1	(	(	PUNCT
cana-4144	357	2	)	)	PUNCT
cana-4144	357	3	c	c	NOUN
cana-4144	357	4	c	c	NOUN
cana-4144	357	5	c	c	NOUN
cana-4144	357	6			NOUN
cana-4144	357	7	=	=	SYM
cana-4144	357	8	ü	ü	PROPN
cana-4144	357	9	ü	ü	PROPN
cana-4144	357	10	,	,	PUNCT
cana-4144	357	11	(	(	PUNCT
cana-4144	357	12	)	)	PUNCT
cana-4144	357	13	c	c	NOUN
cana-4144	357	14	c	c	X
cana-4144	357	15	c	c	VERB
cana-4144	358	1			NOUN
cana-4144	358	2	=	=	SYM
cana-4144	358	3	ü	ü	PROPN
cana-4144	358	4	ü	ü	PROPN
cana-4144	358	5	de	de	PROPN
cana-4144	358	6	morgan	morgan	PROPN
cana-4144	358	7	's	's	PART
cana-4144	358	8	laws	law	NOUN
cana-4144	358	9	8	8	NUM
cana-4144	358	10	.	.	PUNCT
cana-4144	359	1	c	c	NOUN
cana-4144	360	1	c	c	NOUN
cana-4144	361	1	i	i	PRON
cana-4144	362	1	i	i	PRON
cana-4144	363	1	i	i	PRON
cana-4144	364	1	i	i	PRON
cana-4144	365	1	i	i	PRON
cana-4144	366	1	i	i	PRON
cana-4144	366	2			PROPN
cana-4144	366	3			PROPN
cana-4144	366	4			NOUN
cana-4144	366	5			PROPN
cana-4144	366	6			NOUN
cana-4144	366	7			PROPN
cana-4144	367	1	=	=	SYM
cana-4144	367	2			PROPN
cana-4144	367	3			PROPN
cana-4144	368	1			PROPN
cana-4144	368	2			PROPN
cana-4144	368	3	ü	ü	NOUN
cana-4144	368	4	ü	ü	NOUN
cana-4144	368	5	,	,	PUNCT
cana-4144	369	1	c	c	NOUN
cana-4144	369	2	c	c	NOUN
cana-4144	370	1	i	i	PRON
cana-4144	370	2	i	i	PRON
cana-4144	371	1	i	i	PRON
cana-4144	371	2	i	i	PRON
cana-4144	372	1	i	i	PRON
cana-4144	373	1	i	i	PRON
cana-4144	373	2			PROPN
cana-4144	373	3			PROPN
cana-4144	373	4			NOUN
cana-4144	373	5			PROPN
cana-4144	373	6			NOUN
cana-4144	373	7			PROPN
cana-4144	374	1	=	=	SYM
cana-4144	374	2			PROPN
cana-4144	374	3			PROPN
cana-4144	375	1			PROPN
cana-4144	375	2			PROPN
cana-4144	375	3	ü	ü	NOUN
cana-4144	375	4	ü	ü	NOUN
cana-4144	375	5	.	.	PUNCT
cana-4144	376	1	generalized	generalize	VERB
cana-4144	376	2	de	de	PROPN
cana-4144	376	3	morgan	morgan	PROPN
cana-4144	376	4	's	's	PART
cana-4144	376	5	laws	law	NOUN
cana-4144	376	6	9	9	NUM
cana-4144	376	7	.	.	PUNCT
cana-4144	377	1	(	(	PUNCT
cana-4144	377	2	)	)	SYM
cana-4144	377	3	1	1	NUM
cana-4144	377	4	1	1	NUM
cana-4144	377	5	c	c	NOUN
cana-4144	377	6	c	c	X
cana-4144	377	7			PROPN
cana-4144	377	8	=ü	=ü	PROPN
cana-4144	378	1	ü	ü	INTJ
cana-4144	378	2	.	.	PUNCT
cana-4144	379	1	involution	involution	NOUN
cana-4144	379	2	proof	proof	NOUN
cana-4144	379	3	.	.	PUNCT
cana-4144	380	1	1	1	X
cana-4144	380	2	.	.	X
cana-4144	380	3	let	let	VERB
cana-4144	380	4	us	we	PRON
cana-4144	380	5	prove	prove	VERB
cana-4144	380	6	1	1	NUM
cana-4144	380	7	1	1	NUM
cana-4144	380	8	1	1	NUM
cana-4144	380	9			PROPN
cana-4144	380	10			PROPN
cana-4144	380	11	ü	ü	NOUN
cana-4144	380	12	ü	ü	PROPN
cana-4144	380	13	ü	ü	NOUN
cana-4144	380	14	.	.	PUNCT
cana-4144	381	1	if	if	SCONJ
cana-4144	381	2	1	1	NUM
cana-4144	381	3	1	1	NUM
cana-4144	381	4	(	(	PUNCT
cana-4144	381	5	,	,	PUNCT
cana-4144	381	6	)	)	PUNCT
cana-4144	381	7	g	g	NOUN
cana-4144	381	8	h	h	NOUN
cana-4144	381	9			PROPN
cana-4144	381	10			NOUN
cana-4144	381	11	ü	ü	PROPN
cana-4144	381	12	ü	ü	PROPN
cana-4144	381	13	,	,	PUNCT
cana-4144	381	14	then	then	ADV
cana-4144	381	15	1	1	NUM
cana-4144	381	16	(	(	PUNCT
cana-4144	381	17	,	,	PUNCT
cana-4144	381	18	)	)	PUNCT
cana-4144	381	19	g	g	PROPN
cana-4144	381	20	h	h	PROPN
cana-4144	381	21	ü	ü	PROPN
cana-4144	381	22	.	.	PUNCT
cana-4144	382	1	therefore	therefore	ADV
cana-4144	382	2	,	,	PUNCT
cana-4144	382	3	1	1	NUM
cana-4144	382	4	1	1	NUM
cana-4144	382	5	1	1	NUM
cana-4144	382	6			PROPN
cana-4144	382	7			PROPN
cana-4144	382	8	ü	ü	NOUN
cana-4144	382	9	ü	ü	PROPN
cana-4144	382	10	ü	ü	NOUN
cana-4144	382	11	.	.	PUNCT
cana-4144	383	1	conversely	conversely	ADV
cana-4144	383	2	,	,	PUNCT
cana-4144	383	3	if	if	SCONJ
cana-4144	383	4	1	1	NUM
cana-4144	383	5	(	(	PUNCT
cana-4144	383	6	,	,	PUNCT
cana-4144	383	7	)	)	PUNCT
cana-4144	383	8	g	g	PROPN
cana-4144	383	9	h	h	PROPN
cana-4144	383	10	ü	ü	PROPN
cana-4144	383	11	,	,	PUNCT
cana-4144	383	12	then	then	ADV
cana-4144	383	13	1	1	NUM
cana-4144	383	14	1	1	NUM
cana-4144	383	15	(	(	PUNCT
cana-4144	383	16	,	,	PUNCT
cana-4144	383	17	)	)	PUNCT
cana-4144	383	18	g	g	NOUN
cana-4144	383	19	h	h	NOUN
cana-4144	383	20			PROPN
cana-4144	383	21			NOUN
cana-4144	383	22	ü	ü	PROPN
cana-4144	383	23	ü	ü	NOUN
cana-4144	383	24	.	.	PUNCT
cana-4144	384	1	thus	thus	ADV
cana-4144	384	2	1	1	NUM
cana-4144	384	3	1	1	NUM
cana-4144	384	4	1	1	NUM
cana-4144	384	5			PROPN
cana-4144	384	6			PROPN
cana-4144	384	7	ü	ü	PROPN
cana-4144	384	8	ü	ü	PROPN
cana-4144	384	9	ü	ü	NOUN
cana-4144	384	10	.	.	PUNCT
cana-4144	385	1	combining	combine	VERB
cana-4144	385	2	these	these	DET
cana-4144	385	3	results	result	NOUN
cana-4144	385	4	,	,	PUNCT
cana-4144	385	5	we	we	PRON
cana-4144	385	6	have	have	VERB
cana-4144	385	7	1	1	NUM
cana-4144	385	8	1	1	NUM
cana-4144	385	9	1	1	NUM
cana-4144	385	10			PROPN
cana-4144	385	11			PROPN
cana-4144	386	1	=	=	SYM
cana-4144	386	2	ü	ü	PROPN
cana-4144	386	3	ü	ü	NOUN
cana-4144	386	4	ü	ü	PROPN
cana-4144	386	5	.	.	PUNCT
cana-4144	387	1	similarly	similarly	ADV
cana-4144	387	2	,	,	PUNCT
cana-4144	387	3	we	we	PRON
cana-4144	387	4	can	can	AUX
cana-4144	387	5	show	show	VERB
cana-4144	387	6	that	that	SCONJ
cana-4144	387	7	1	1	NUM
cana-4144	387	8	1	1	NUM
cana-4144	387	9	1	1	NUM
cana-4144	387	10			PROPN
cana-4144	387	11			PROPN
cana-4144	387	12	=	=	SYM
cana-4144	387	13	ü	ü	NOUN
cana-4144	387	14	ü	ü	NOUN
cana-4144	387	15	ü	ü	NOUN
cana-4144	387	16	.	.	PUNCT
cana-4144	388	1	2	2	X
cana-4144	388	2	.	.	X
cana-4144	388	3	let	let	VERB
cana-4144	388	4	us	we	PRON
cana-4144	388	5	show	show	VERB
cana-4144	388	6	that	that	SCONJ
cana-4144	388	7	1	1	NUM
cana-4144	388	8	2	2	NUM
cana-4144	388	9	2	2	NUM
cana-4144	388	10	1	1	NOUN
cana-4144	388	11			PROPN
cana-4144	388	12			PROPN
cana-4144	388	13			VERB
cana-4144	388	14			PROPN
cana-4144	388	15	ü	ü	PROPN
cana-4144	388	16	ü	ü	NOUN
cana-4144	388	17	ü	ü	NOUN
cana-4144	388	18	ü	ü	NOUN
cana-4144	388	19	.	.	PUNCT
cana-4144	389	1	if	if	SCONJ
cana-4144	389	2	1	1	NUM
cana-4144	389	3	2	2	NUM
cana-4144	389	4	(	(	PUNCT
cana-4144	389	5	,	,	PUNCT
cana-4144	389	6	)	)	PUNCT
cana-4144	389	7	g	g	NOUN
cana-4144	389	8	h	h	NOUN
cana-4144	389	9			PROPN
cana-4144	389	10			NOUN
cana-4144	389	11	ü	ü	PROPN
cana-4144	389	12	ü	ü	PROPN
cana-4144	389	13	,	,	PUNCT
cana-4144	389	14	then	then	ADV
cana-4144	389	15	1	1	NUM
cana-4144	389	16	(	(	PUNCT
cana-4144	389	17	,	,	PUNCT
cana-4144	389	18	)	)	PUNCT
cana-4144	389	19	g	g	PROPN
cana-4144	389	20	h	h	PROPN
cana-4144	389	21	ü	ü	PROPN
cana-4144	389	22	or	or	CCONJ
cana-4144	389	23	2	2	NUM
cana-4144	389	24	(	(	PUNCT
cana-4144	389	25	,	,	PUNCT
cana-4144	389	26	)	)	PUNCT
cana-4144	389	27	g	g	NOUN
cana-4144	389	28	h	h	PROPN
cana-4144	389	29	ü	ü	PROPN
cana-4144	389	30	,	,	PUNCT
cana-4144	389	31	therefore	therefore	ADV
cana-4144	389	32	2	2	NUM
cana-4144	389	33	1	1	NUM
cana-4144	389	34	(	(	PUNCT
cana-4144	389	35	,	,	PUNCT
cana-4144	389	36	)	)	PUNCT
cana-4144	389	37	g	g	NOUN
cana-4144	389	38	h	h	NOUN
cana-4144	390	1			PROPN
cana-4144	390	2			NOUN
cana-4144	390	3	ü	ü	PROPN
cana-4144	390	4	ü	ü	NOUN
cana-4144	390	5	.	.	PUNCT
cana-4144	391	1	hence	hence	ADV
cana-4144	391	2	,	,	PUNCT
cana-4144	391	3	1	1	NUM
cana-4144	391	4	2	2	NUM
cana-4144	391	5	2	2	NUM
cana-4144	391	6	1	1	NOUN
cana-4144	391	7			PROPN
cana-4144	391	8			PROPN
cana-4144	391	9			VERB
cana-4144	391	10			PROPN
cana-4144	391	11	ü	ü	PROPN
cana-4144	391	12	ü	ü	NOUN
cana-4144	391	13	ü	ü	NOUN
cana-4144	391	14	ü	ü	PROPN
cana-4144	391	15	.	.	PUNCT
cana-4144	392	1	similarly	similarly	ADV
cana-4144	392	2	,	,	PUNCT
cana-4144	392	3	we	we	PRON
cana-4144	392	4	can	can	AUX
cana-4144	392	5	show	show	VERB
cana-4144	392	6	that	that	SCONJ
cana-4144	392	7	2	2	NUM
cana-4144	392	8	1	1	NUM
cana-4144	392	9	1	1	NUM
cana-4144	392	10	2	2	NOUN
cana-4144	392	11			PROPN
cana-4144	392	12			PROPN
cana-4144	392	13			VERB
cana-4144	392	14			PROPN
cana-4144	392	15	ü	ü	PROPN
cana-4144	392	16	ü	ü	NOUN
cana-4144	392	17	ü	ü	NOUN
cana-4144	392	18	ü	ü	PROPN
cana-4144	392	19	.	.	PUNCT
cana-4144	393	1	therefore	therefore	ADV
cana-4144	393	2	,	,	PUNCT
cana-4144	393	3	1	1	NUM
cana-4144	393	4	2	2	NUM
cana-4144	393	5	2	2	NUM
cana-4144	393	6	1	1	NOUN
cana-4144	394	1			PROPN
cana-4144	395	1			PROPN
cana-4144	395	2			PROPN
cana-4144	395	3	=	=	SYM
cana-4144	395	4	ü	ü	PROPN
cana-4144	395	5	ü	ü	NOUN
cana-4144	395	6	ü	ü	NOUN
cana-4144	395	7	ü	ü	PROPN
cana-4144	395	8	.	.	PUNCT
cana-4144	396	1	likewise	likewise	ADV
cana-4144	396	2	,	,	PUNCT
cana-4144	396	3	we	we	PRON
cana-4144	396	4	can	can	AUX
cana-4144	396	5	demonstrate	demonstrate	VERB
cana-4144	396	6	that	that	SCONJ
cana-4144	396	7	1	1	NUM
cana-4144	396	8	2	2	NUM
cana-4144	396	9	2	2	NUM
cana-4144	396	10	1	1	NOUN
cana-4144	396	11			PROPN
cana-4144	396	12			PROPN
cana-4144	396	13			PROPN
cana-4144	396	14	=	=	SYM
cana-4144	396	15	ü	ü	PROPN
cana-4144	396	16	ü	ü	NOUN
cana-4144	396	17	ü	ü	NOUN
cana-4144	396	18	ü	ü	NOUN
cana-4144	396	19	.	.	PUNCT
cana-4144	397	1	3	3	X
cana-4144	397	2	.	.	X
cana-4144	397	3	let	let	VERB
cana-4144	397	4	1	1	NUM
cana-4144	397	5	2	2	NUM
cana-4144	397	6	3	3	NUM
cana-4144	397	7	(	(	PUNCT
cana-4144	397	8	,	,	PUNCT
cana-4144	397	9	)	)	PUNCT
cana-4144	397	10	(	(	PUNCT
cana-4144	397	11	)	)	PUNCT
cana-4144	397	12	g	g	NOUN
cana-4144	397	13	h	h	NOUN
cana-4144	397	14			PROPN
cana-4144	397	15			PROPN
cana-4144	397	16			NOUN
cana-4144	397	17			NOUN
cana-4144	397	18	ü	ü	PROPN
cana-4144	397	19	ü	ü	PROPN
cana-4144	397	20	ü	ü	NOUN
cana-4144	397	21	,	,	PUNCT
cana-4144	397	22	then	then	ADV
cana-4144	397	23	1	1	NUM
cana-4144	397	24	(	(	PUNCT
cana-4144	397	25	,	,	PUNCT
cana-4144	397	26	)	)	PUNCT
cana-4144	397	27	g	g	PROPN
cana-4144	397	28	h	h	PROPN
cana-4144	397	29	ü	ü	PROPN
cana-4144	397	30	or	or	CCONJ
cana-4144	397	31	2	2	NUM
cana-4144	397	32	3	3	NUM
cana-4144	397	33	(	(	PUNCT
cana-4144	397	34	,	,	PUNCT
cana-4144	397	35	)	)	PUNCT
cana-4144	398	1	g	g	NOUN
cana-4144	398	2	h	h	NOUN
cana-4144	399	1			PROPN
cana-4144	399	2			NOUN
cana-4144	399	3	ü	ü	PROPN
cana-4144	399	4	ü	ü	PROPN
cana-4144	399	5	,	,	PUNCT
cana-4144	399	6	which	which	PRON
cana-4144	399	7	implies	imply	VERB
cana-4144	399	8	1	1	NUM
cana-4144	399	9	(	(	PUNCT
cana-4144	399	10	,	,	PUNCT
cana-4144	399	11	)	)	PUNCT
cana-4144	399	12	g	g	PROPN
cana-4144	399	13	h	h	PROPN
cana-4144	399	14	ü	ü	PROPN
cana-4144	399	15	,	,	PUNCT
cana-4144	399	16	2	2	NUM
cana-4144	399	17	(	(	PUNCT
cana-4144	399	18	,	,	PUNCT
cana-4144	399	19	)	)	PUNCT
cana-4144	399	20	g	g	PROPN
cana-4144	399	21	h	h	PROPN
cana-4144	399	22	ü	ü	PROPN
cana-4144	399	23	or	or	CCONJ
cana-4144	399	24	3	3	NUM
cana-4144	399	25	(	(	PUNCT
cana-4144	399	26	,	,	PUNCT
cana-4144	399	27	)	)	PUNCT
cana-4144	399	28	g	g	PROPN
cana-4144	399	29	h	h	PROPN
cana-4144	399	30	ü	ü	PROPN
cana-4144	399	31	.	.	PUNCT
cana-4144	400	1	therefore	therefore	ADV
cana-4144	400	2	1	1	NUM
cana-4144	400	3	2	2	NUM
cana-4144	400	4	3	3	NUM
cana-4144	400	5	(	(	PUNCT
cana-4144	400	6	,	,	PUNCT
cana-4144	400	7	)	)	PUNCT
cana-4144	400	8	(	(	PUNCT
cana-4144	400	9	)	)	PUNCT
cana-4144	400	10	g	g	NOUN
cana-4144	400	11	h	h	NOUN
cana-4144	400	12			PROPN
cana-4144	400	13			PROPN
cana-4144	400	14			NOUN
cana-4144	400	15			NOUN
cana-4144	400	16	ü	ü	PROPN
cana-4144	400	17	ü	ü	PROPN
cana-4144	400	18	ü	ü	NOUN
cana-4144	400	19	.	.	PUNCT
cana-4144	401	1	hence	hence	ADV
cana-4144	401	2	(	(	PUNCT
cana-4144	401	3	)	)	PUNCT
cana-4144	401	4	(	(	PUNCT
cana-4144	401	5	)	)	SYM
cana-4144	401	6	1	1	NUM
cana-4144	401	7	2	2	NUM
cana-4144	401	8	3	3	NUM
cana-4144	401	9	1	1	NUM
cana-4144	401	10	2	2	NUM
cana-4144	401	11	3	3	NUM
cana-4144	402	1			PROPN
cana-4144	403	1			PROPN
cana-4144	404	1			PROPN
cana-4144	404	2			PROPN
cana-4144	404	3			PROPN
cana-4144	404	4			PROPN
cana-4144	404	5	=	=	SYM
cana-4144	404	6			NOUN
cana-4144	404	7	ü	ü	PROPN
cana-4144	404	8	ü	ü	NOUN
cana-4144	404	9	ü	ü	NOUN
cana-4144	404	10	ü	ü	NOUN
cana-4144	404	11	ü	ü	NOUN
cana-4144	404	12	ü	ü	NOUN
cana-4144	404	13	,	,	PUNCT
cana-4144	404	14	similarly	similarly	ADV
cana-4144	404	15	(	(	PUNCT
cana-4144	404	16	)	)	PUNCT
cana-4144	404	17	(	(	PUNCT
cana-4144	404	18	)	)	SYM
cana-4144	404	19	1	1	NUM
cana-4144	404	20	2	2	NUM
cana-4144	404	21	1	1	NUM
cana-4144	404	22	1	1	NUM
cana-4144	404	23	2	2	NUM
cana-4144	404	24	1	1	NUM
cana-4144	404	25			PROPN
cana-4144	405	1			PROPN
cana-4144	406	1			PROPN
cana-4144	406	2			PROPN
cana-4144	406	3			PROPN
cana-4144	406	4			VERB
cana-4144	406	5	=	=	SYM
cana-4144	406	6			X
cana-4144	406	7	ü	ü	NOUN
cana-4144	406	8	ü	ü	NOUN
cana-4144	406	9	ü	ü	NOUN
cana-4144	406	10	ü	ü	NOUN
cana-4144	406	11	ü	ü	NOUN
cana-4144	406	12	ü	ü	NOUN
cana-4144	406	13	.	.	PUNCT
cana-4144	407	1	4	4	X
cana-4144	407	2	.	.	X
cana-4144	408	1	if	if	SCONJ
cana-4144	408	2	(	(	PUNCT
cana-4144	408	3	)	)	SYM
cana-4144	408	4	1	1	NUM
cana-4144	408	5	2	2	NUM
cana-4144	408	6	3	3	NUM
cana-4144	408	7	(	(	PUNCT
cana-4144	408	8	,	,	PUNCT
cana-4144	408	9	)	)	PUNCT
cana-4144	408	10	g	g	NOUN
cana-4144	408	11	h	h	NOUN
cana-4144	408	12			PROPN
cana-4144	408	13			PROPN
cana-4144	408	14			NOUN
cana-4144	408	15			NOUN
cana-4144	408	16	ü	ü	PROPN
cana-4144	408	17	ü	ü	PROPN
cana-4144	408	18	ü	ü	PROPN
cana-4144	408	19	,	,	PUNCT
cana-4144	408	20	then	then	ADV
cana-4144	408	21	1	1	NUM
cana-4144	408	22	(	(	PUNCT
cana-4144	408	23	,	,	PUNCT
cana-4144	408	24	)	)	PUNCT
cana-4144	408	25	g	g	PROPN
cana-4144	408	26	h	h	PROPN
cana-4144	408	27	ü	ü	PROPN
cana-4144	408	28	or	or	CCONJ
cana-4144	408	29	2	2	NUM
cana-4144	408	30	(	(	PUNCT
cana-4144	408	31	,	,	PUNCT
cana-4144	408	32	)	)	PUNCT
cana-4144	408	33	g	g	PROPN
cana-4144	408	34	h	h	PROPN
cana-4144	408	35	ü	ü	PROPN
cana-4144	408	36	and	and	CCONJ
cana-4144	408	37	3	3	NUM
cana-4144	408	38	(	(	PUNCT
cana-4144	408	39	,	,	PUNCT
cana-4144	408	40	)	)	PUNCT
cana-4144	408	41	g	g	PROPN
cana-4144	408	42	h	h	PROPN
cana-4144	408	43	ü	ü	PROPN
cana-4144	408	44	.	.	PUNCT
cana-4144	409	1	this	this	PRON
cana-4144	409	2	implies	imply	VERB
cana-4144	409	3	1	1	NUM
cana-4144	409	4	(	(	PUNCT
cana-4144	409	5	,	,	PUNCT
cana-4144	409	6	)	)	PUNCT
cana-4144	409	7	g	g	PROPN
cana-4144	409	8	h	h	PROPN
cana-4144	409	9	ü	ü	PROPN
cana-4144	409	10	or	or	CCONJ
cana-4144	409	11	2	2	NUM
cana-4144	409	12	(	(	PUNCT
cana-4144	409	13	,	,	PUNCT
cana-4144	409	14	)	)	PUNCT
cana-4144	409	15	g	g	PROPN
cana-4144	409	16	h	h	PROPN
cana-4144	409	17	ü	ü	PROPN
cana-4144	409	18	and	and	CCONJ
cana-4144	409	19	1	1	NUM
cana-4144	409	20	(	(	PUNCT
cana-4144	409	21	,	,	PUNCT
cana-4144	409	22	)	)	PUNCT
cana-4144	409	23	g	g	PROPN
cana-4144	409	24	h	h	PROPN
cana-4144	409	25	ü	ü	PROPN
cana-4144	409	26	or	or	CCONJ
cana-4144	409	27	3	3	NUM
cana-4144	409	28	(	(	PUNCT
cana-4144	409	29	,	,	PUNCT
cana-4144	409	30	)	)	PUNCT
cana-4144	409	31	g	g	PROPN
cana-4144	409	32	h	h	PROPN
cana-4144	409	33	ü	ü	PROPN
cana-4144	409	34	.	.	PUNCT
cana-4144	410	1	consequently	consequently	ADV
cana-4144	410	2	,	,	PUNCT
cana-4144	410	3	1	1	NUM
cana-4144	410	4	2	2	NUM
cana-4144	410	5	(	(	PUNCT
cana-4144	410	6	,	,	PUNCT
cana-4144	410	7	)	)	PUNCT
cana-4144	410	8	g	g	NOUN
cana-4144	410	9	h	h	NOUN
cana-4144	410	10			PROPN
cana-4144	410	11			NOUN
cana-4144	410	12	ü	ü	PROPN
cana-4144	410	13	ü	ü	PROPN
cana-4144	410	14	and	and	CCONJ
cana-4144	410	15	1	1	NUM
cana-4144	410	16	3	3	NUM
cana-4144	410	17	(	(	PUNCT
cana-4144	410	18	,	,	PUNCT
cana-4144	410	19	)	)	PUNCT
cana-4144	410	20	g	g	NOUN
cana-4144	410	21	h	h	NOUN
cana-4144	410	22			PROPN
cana-4144	410	23			NOUN
cana-4144	410	24	ü	ü	PROPN
cana-4144	410	25	ü	ü	NOUN
cana-4144	410	26	.	.	PUNCT
cana-4144	411	1	therefore	therefore	ADV
cana-4144	411	2	1	1	NUM
cana-4144	411	3	2	2	NUM
cana-4144	411	4	1	1	NUM
cana-4144	411	5	3	3	NUM
cana-4144	411	6	(	(	PUNCT
cana-4144	411	7	,	,	PUNCT
cana-4144	411	8	)	)	PUNCT
cana-4144	411	9	(	(	PUNCT
cana-4144	411	10	)	)	PUNCT
cana-4144	411	11	(	(	PUNCT
cana-4144	411	12	)	)	PUNCT
cana-4144	411	13	g	g	NOUN
cana-4144	411	14	h	h	NOUN
cana-4144	412	1			PROPN
cana-4144	412	2			PROPN
cana-4144	412	3			PROPN
cana-4144	412	4			NOUN
cana-4144	412	5			NOUN
cana-4144	412	6			PUNCT
cana-4144	412	7	ü	ü	NOUN
cana-4144	412	8	ü	ü	NOUN
cana-4144	412	9	ü	ü	NOUN
cana-4144	412	10	ü	ü	NOUN
cana-4144	412	11	.	.	PUNCT
cana-4144	413	1	hence	hence	ADV
cana-4144	413	2	(	(	PUNCT
cana-4144	413	3	)	)	PUNCT
cana-4144	413	4	(	(	PUNCT
cana-4144	413	5	)	)	PUNCT
cana-4144	413	6	(	(	PUNCT
cana-4144	413	7	)	)	SYM
cana-4144	413	8	1	1	NUM
cana-4144	413	9	2	2	NUM
cana-4144	413	10	3	3	NUM
cana-4144	413	11	1	1	NUM
cana-4144	413	12	2	2	NUM
cana-4144	413	13	1	1	NUM
cana-4144	413	14	3	3	NUM
cana-4144	414	1			PROPN
cana-4144	415	1			PROPN
cana-4144	416	1			PROPN
cana-4144	417	1			PROPN
cana-4144	417	2			PROPN
cana-4144	417	3			PROPN
cana-4144	417	4			X
cana-4144	417	5	=	=	SYM
cana-4144	417	6			NOUN
cana-4144	417	7			PUNCT
cana-4144	417	8	ü	ü	NOUN
cana-4144	417	9	ü	ü	NOUN
cana-4144	417	10	ü	ü	NOUN
cana-4144	417	11	ü	ü	NOUN
cana-4144	417	12	ü	ü	NOUN
cana-4144	417	13	ü	ü	NOUN
cana-4144	417	14	ü	ü	NOUN
cana-4144	417	15	.	.	PUNCT
cana-4144	418	1	similarly	similarly	ADV
cana-4144	418	2	(	(	PUNCT
cana-4144	418	3	)	)	PUNCT
cana-4144	418	4	(	(	PUNCT
cana-4144	418	5	)	)	PUNCT
cana-4144	418	6	(	(	PUNCT
cana-4144	418	7	)	)	SYM
cana-4144	418	8	1	1	NUM
cana-4144	418	9	2	2	NUM
cana-4144	418	10	3	3	NUM
cana-4144	418	11	1	1	NUM
cana-4144	418	12	2	2	NUM
cana-4144	418	13	1	1	NUM
cana-4144	418	14	3	3	NUM
cana-4144	419	1			PROPN
cana-4144	419	2			PROPN
cana-4144	420	1			PROPN
cana-4144	421	1			PROPN
cana-4144	421	2			PROPN
cana-4144	422	1			PROPN
cana-4144	422	2			NOUN
cana-4144	422	3	=	=	SYM
cana-4144	422	4			X
cana-4144	422	5			NOUN
cana-4144	422	6	ü	ü	NOUN
cana-4144	422	7	ü	ü	NOUN
cana-4144	422	8	ü	ü	NOUN
cana-4144	422	9	ü	ü	NOUN
cana-4144	422	10	ü	ü	NOUN
cana-4144	422	11	ü	ü	NOUN
cana-4144	422	12	ü	ü	NOUN
cana-4144	422	13	.	.	PUNCT
cana-4144	423	1	communications	communication	NOUN
cana-4144	423	2	on	on	ADP
cana-4144	423	3	applied	apply	VERB
cana-4144	423	4	nonlinear	nonlinear	ADJ
cana-4144	423	5	analysis	analysis	NOUN
cana-4144	423	6	issn	issn	NOUN
cana-4144	423	7	:	:	PUNCT
cana-4144	423	8	1074	1074	NUM
cana-4144	423	9	-	-	PUNCT
cana-4144	423	10	133x	133x	NUM
cana-4144	423	11	vol	vol	NOUN
cana-4144	423	12	x	x	NOUN
cana-4144	423	13	no	no	INTJ
cana-4144	423	14	.	.	PUNCT
cana-4144	424	1	y	y	PROPN
cana-4144	424	2	(	(	PUNCT
cana-4144	424	3	2025	2025	NUM
cana-4144	424	4	)	)	PUNCT
cana-4144	424	5	1339	1339	NUM
cana-4144	424	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	424	7	5	5	X
cana-4144	424	8	.	.	PUNCT
cana-4144	424	9	let	let	VERB
cana-4144	424	10	us	we	PRON
cana-4144	424	11	prove	prove	VERB
cana-4144	424	12	1	1	NUM
cana-4144	424	13	1	1	NUM
cana-4144	424	14	(	(	PUNCT
cana-4144	424	15	)	)	PUNCT
cana-4144	425	1	i	i	PRON
cana-4144	425	2	i	i	PRON
cana-4144	426	1	i	i	PRON
cana-4144	426	2	i	i	PRON
cana-4144	427	1	i	i	PRON
cana-4144	427	2	i	i	PRON
cana-4144	428	1			PROPN
cana-4144	429	1			PROPN
cana-4144	430	1			PROPN
cana-4144	430	2			PROPN
cana-4144	430	3			NOUN
cana-4144	430	4			NOUN
cana-4144	430	5			NOUN
cana-4144	430	6			NOUN
cana-4144	430	7			PUNCT
cana-4144	431	1			PROPN
cana-4144	431	2			VERB
cana-4144	431	3			PROPN
cana-4144	431	4			ADJ
cana-4144	431	5			PROPN
cana-4144	432	1	ü	ü	NOUN
cana-4144	432	2	ü	ü	NOUN
cana-4144	432	3	ü	ü	NOUN
cana-4144	432	4	ü	ü	PROPN
cana-4144	432	5	.	.	PUNCT
cana-4144	433	1	suppose	suppose	VERB
cana-4144	433	2	1	1	NUM
cana-4144	433	3	(	(	PUNCT
cana-4144	433	4	,	,	PUNCT
cana-4144	433	5	)	)	PUNCT
cana-4144	434	1	i	i	PRON
cana-4144	434	2	i	i	PRON
cana-4144	435	1	i	i	PRON
cana-4144	436	1	g	g	VERB
cana-4144	436	2	h	h	NOUN
cana-4144	436	3			PROPN
cana-4144	436	4			PROPN
cana-4144	437	1			NOUN
cana-4144	437	2			NOUN
cana-4144	437	3			PROPN
cana-4144	437	4			PROPN
cana-4144	437	5			VERB
cana-4144	437	6			PROPN
cana-4144	437	7			PROPN
cana-4144	437	8			PROPN
cana-4144	437	9	ü	ü	NOUN
cana-4144	437	10	ü	ü	NOUN
cana-4144	437	11	.	.	PUNCT
cana-4144	438	1	then	then	ADV
cana-4144	438	2	1	1	NUM
cana-4144	438	3	(	(	PUNCT
cana-4144	438	4	,	,	PUNCT
cana-4144	438	5	)	)	PUNCT
cana-4144	438	6	g	g	PROPN
cana-4144	438	7	h	h	PROPN
cana-4144	438	8	ü	ü	PROPN
cana-4144	438	9	and	and	CCONJ
cana-4144	438	10	(	(	PUNCT
cana-4144	438	11	,	,	PUNCT
cana-4144	438	12	)	)	PUNCT
cana-4144	439	1	i	i	PRON
cana-4144	439	2	i	i	PRON
cana-4144	440	1	i	i	PRON
cana-4144	441	1	g	g	NOUN
cana-4144	442	1	h	h	NOUN
cana-4144	443	1			PROPN
cana-4144	443	2			PROPN
cana-4144	443	3			NOUN
cana-4144	443	4			PROPN
cana-4144	443	5			PROPN
cana-4144	443	6			PROPN
cana-4144	443	7			PROPN
cana-4144	443	8			PROPN
cana-4144	443	9	ü	ü	NOUN
cana-4144	443	10	.	.	PUNCT
cana-4144	444	1	thus	thus	ADV
cana-4144	444	2	,	,	PUNCT
cana-4144	444	3	there	there	PRON
cana-4144	444	4	exists	exist	VERB
cana-4144	444	5	i	i	PRON
cana-4144	444	6	i	i	VERB
cana-4144	444	7	such	such	ADJ
cana-4144	444	8	that	that	PRON
cana-4144	444	9	(	(	PUNCT
cana-4144	444	10	,	,	PUNCT
cana-4144	444	11	)	)	PUNCT
cana-4144	444	12	ig	ig	PROPN
cana-4144	444	13	h	h	NOUN
cana-4144	444	14			PROPN
cana-4144	444	15	ü	ü	PROPN
cana-4144	444	16	.	.	PUNCT
cana-4144	445	1	given	give	VERB
cana-4144	445	2	that	that	PRON
cana-4144	445	3	1	1	NUM
cana-4144	445	4	(	(	PUNCT
cana-4144	445	5	,	,	PUNCT
cana-4144	445	6	)	)	PUNCT
cana-4144	445	7	g	g	PROPN
cana-4144	445	8	h	h	PROPN
cana-4144	445	9	ü	ü	PROPN
cana-4144	445	10	,	,	PUNCT
cana-4144	445	11	it	it	PRON
cana-4144	445	12	follows	follow	VERB
cana-4144	445	13	that	that	SCONJ
cana-4144	445	14	1	1	NUM
cana-4144	445	15	(	(	PUNCT
cana-4144	445	16	,	,	PUNCT
cana-4144	445	17	)	)	PUNCT
cana-4144	445	18	(	(	PUNCT
cana-4144	445	19	)	)	PUNCT
cana-4144	445	20	ig	ig	PROPN
cana-4144	445	21	h	h	NOUN
cana-4144	445	22			PROPN
cana-4144	445	23			NOUN
cana-4144	445	24	ü	ü	PROPN
cana-4144	445	25	ü	ü	PROPN
cana-4144	445	26	.	.	PUNCT
cana-4144	446	1	therefore	therefore	ADV
cana-4144	446	2	1	1	NUM
cana-4144	446	3	(	(	PUNCT
cana-4144	446	4	,	,	PUNCT
cana-4144	446	5	)	)	PUNCT
cana-4144	447	1	(	(	PUNCT
cana-4144	447	2	)	)	PUNCT
cana-4144	447	3	i	i	PRON
cana-4144	447	4	i	i	PRON
cana-4144	448	1	i	i	PRON
cana-4144	449	1	g	g	VERB
cana-4144	449	2	h	h	NOUN
cana-4144	449	3			PROPN
cana-4144	449	4			PROPN
cana-4144	449	5			NOUN
cana-4144	449	6			NOUN
cana-4144	449	7	ü	ü	PROPN
cana-4144	449	8	ü	ü	PROPN
cana-4144	449	9	.	.	PUNCT
cana-4144	450	1	hence	hence	ADV
cana-4144	450	2	1	1	NUM
cana-4144	450	3	1	1	NUM
cana-4144	450	4	(	(	PUNCT
cana-4144	450	5	)	)	PUNCT
cana-4144	451	1	i	i	PRON
cana-4144	451	2	i	i	PRON
cana-4144	452	1	i	i	PRON
cana-4144	452	2	i	i	PRON
cana-4144	453	1	i	i	PRON
cana-4144	453	2	i	i	PRON
cana-4144	454	1			PROPN
cana-4144	455	1			PROPN
cana-4144	456	1			PROPN
cana-4144	456	2			PROPN
cana-4144	456	3			NOUN
cana-4144	456	4			NOUN
cana-4144	456	5			NOUN
cana-4144	456	6			NOUN
cana-4144	456	7			PUNCT
cana-4144	457	1			PROPN
cana-4144	457	2			VERB
cana-4144	457	3			PROPN
cana-4144	457	4			ADJ
cana-4144	457	5			PROPN
cana-4144	458	1	ü	ü	NOUN
cana-4144	458	2	ü	ü	NOUN
cana-4144	458	3	ü	ü	NOUN
cana-4144	458	4	ü	ü	NOUN
cana-4144	458	5	.	.	PUNCT
cana-4144	459	1	now	now	ADV
cana-4144	459	2	,	,	PUNCT
cana-4144	459	3	let	let	VERB
cana-4144	459	4	's	us	PRON
cana-4144	459	5	prove	prove	VERB
cana-4144	459	6	that	that	SCONJ
cana-4144	459	7	1	1	NUM
cana-4144	459	8	1	1	NUM
cana-4144	459	9	(	(	PUNCT
cana-4144	459	10	)	)	PUNCT
cana-4144	460	1	i	i	PRON
cana-4144	461	1	i	i	PRON
cana-4144	462	1	i	i	PRON
cana-4144	463	1	i	i	PRON
cana-4144	464	1	i	i	PRON
cana-4144	465	1	i	i	PRON
cana-4144	466	1			PROPN
cana-4144	467	1			PROPN
cana-4144	468	1			PROPN
cana-4144	468	2			PROPN
cana-4144	468	3			NOUN
cana-4144	468	4			NOUN
cana-4144	468	5			NOUN
cana-4144	468	6			NOUN
cana-4144	468	7			PUNCT
cana-4144	469	1			PROPN
cana-4144	469	2			VERB
cana-4144	469	3			PROPN
cana-4144	469	4			ADJ
cana-4144	469	5			PROPN
cana-4144	470	1	ü	ü	NOUN
cana-4144	470	2	ü	ü	NOUN
cana-4144	470	3	ü	ü	NOUN
cana-4144	470	4	ü	ü	PROPN
cana-4144	470	5	.	.	PUNCT
cana-4144	471	1	suppose	suppose	VERB
cana-4144	471	2	1	1	NUM
cana-4144	471	3	(	(	PUNCT
cana-4144	471	4	,	,	PUNCT
cana-4144	471	5	)	)	PUNCT
cana-4144	472	1	(	(	PUNCT
cana-4144	472	2	)	)	PUNCT
cana-4144	472	3	i	i	PRON
cana-4144	472	4	i	i	PRON
cana-4144	473	1	i	i	PRON
cana-4144	474	1	g	g	VERB
cana-4144	474	2	h	h	NOUN
cana-4144	474	3			PROPN
cana-4144	474	4			PROPN
cana-4144	474	5			NOUN
cana-4144	474	6			NOUN
cana-4144	474	7	ü	ü	PROPN
cana-4144	474	8	ü	ü	PROPN
cana-4144	474	9	.	.	PUNCT
cana-4144	475	1	then	then	ADV
cana-4144	475	2	there	there	PRON
cana-4144	475	3	exists	exist	VERB
cana-4144	475	4	i	i	PRON
cana-4144	475	5	i	i	VERB
cana-4144	475	6	such	such	ADJ
cana-4144	475	7	that	that	SCONJ
cana-4144	475	8	1	1	NUM
cana-4144	475	9	(	(	PUNCT
cana-4144	475	10	,	,	PUNCT
cana-4144	475	11	)	)	PUNCT
cana-4144	476	1	ig	ig	PROPN
cana-4144	476	2	h	h	NOUN
cana-4144	476	3			PROPN
cana-4144	476	4			NOUN
cana-4144	476	5	ü	ü	PROPN
cana-4144	476	6	ü	ü	NOUN
cana-4144	476	7	.	.	PUNCT
cana-4144	477	1	thus	thus	ADV
cana-4144	477	2	1	1	NUM
cana-4144	477	3	(	(	PUNCT
cana-4144	477	4	,	,	PUNCT
cana-4144	477	5	)	)	PUNCT
cana-4144	477	6	g	g	PROPN
cana-4144	477	7	h	h	PROPN
cana-4144	477	8	ü	ü	PROPN
cana-4144	477	9	and	and	CCONJ
cana-4144	477	10	(	(	PUNCT
cana-4144	477	11	,	,	PUNCT
cana-4144	477	12	)	)	PUNCT
cana-4144	477	13	ig	ig	PROPN
cana-4144	477	14	h	h	NOUN
cana-4144	477	15			PROPN
cana-4144	477	16	ü	ü	PROPN
cana-4144	477	17	.	.	PUNCT
cana-4144	478	1	hence	hence	ADV
cana-4144	478	2	(	(	PUNCT
cana-4144	478	3	,	,	PUNCT
cana-4144	478	4	)	)	PUNCT
cana-4144	479	1	i	i	PRON
cana-4144	479	2	i	i	PRON
cana-4144	480	1	i	i	PRON
cana-4144	481	1	g	g	NOUN
cana-4144	482	1	h	h	NOUN
cana-4144	483	1			PROPN
cana-4144	483	2			PROPN
cana-4144	483	3			NOUN
cana-4144	483	4	ü	ü	PROPN
cana-4144	483	5	,	,	PUNCT
cana-4144	483	6	and	and	CCONJ
cana-4144	483	7	given	give	VERB
cana-4144	483	8	that	that	PRON
cana-4144	483	9	1	1	NUM
cana-4144	483	10	(	(	PUNCT
cana-4144	483	11	,	,	PUNCT
cana-4144	483	12	)	)	PUNCT
cana-4144	483	13	g	g	PROPN
cana-4144	483	14	h	h	PROPN
cana-4144	483	15	ü	ü	PROPN
cana-4144	483	16	,	,	PUNCT
cana-4144	483	17	it	it	PRON
cana-4144	483	18	follows	follow	VERB
cana-4144	483	19	that	that	SCONJ
cana-4144	483	20	1	1	NUM
cana-4144	483	21	(	(	PUNCT
cana-4144	483	22	,	,	PUNCT
cana-4144	483	23	)	)	PUNCT
cana-4144	484	1	i	i	PRON
cana-4144	484	2	i	i	PRON
cana-4144	485	1	i	i	PRON
cana-4144	486	1	g	g	VERB
cana-4144	486	2	h	h	NOUN
cana-4144	486	3			PROPN
cana-4144	486	4			PROPN
cana-4144	487	1			NOUN
cana-4144	487	2			NOUN
cana-4144	487	3			PROPN
cana-4144	487	4			PROPN
cana-4144	487	5			VERB
cana-4144	487	6			PROPN
cana-4144	487	7			PROPN
cana-4144	487	8			PROPN
cana-4144	487	9	ü	ü	NOUN
cana-4144	487	10	ü	ü	NOUN
cana-4144	487	11	.	.	PUNCT
cana-4144	488	1	therefore	therefore	ADV
cana-4144	488	2	1	1	NUM
cana-4144	488	3	1	1	NUM
cana-4144	488	4	(	(	PUNCT
cana-4144	488	5	)	)	PUNCT
cana-4144	489	1	i	i	PRON
cana-4144	489	2	i	i	PRON
cana-4144	490	1	i	i	PRON
cana-4144	490	2	i	i	PRON
cana-4144	491	1	i	i	PRON
cana-4144	491	2	i	i	PRON
cana-4144	492	1			PROPN
cana-4144	493	1			PROPN
cana-4144	494	1			PROPN
cana-4144	494	2			PROPN
cana-4144	494	3			NOUN
cana-4144	494	4			NOUN
cana-4144	494	5			NOUN
cana-4144	494	6			NOUN
cana-4144	494	7			PUNCT
cana-4144	495	1			PROPN
cana-4144	495	2			VERB
cana-4144	495	3			PROPN
cana-4144	495	4			ADJ
cana-4144	495	5			PROPN
cana-4144	496	1	ü	ü	NOUN
cana-4144	496	2	ü	ü	NOUN
cana-4144	496	3	ü	ü	NOUN
cana-4144	496	4	ü	ü	NOUN
cana-4144	496	5	.	.	PUNCT
cana-4144	497	1	hence	hence	ADV
cana-4144	497	2	1	1	NUM
cana-4144	497	3	1	1	NUM
cana-4144	497	4	(	(	PUNCT
cana-4144	497	5	)	)	PUNCT
cana-4144	498	1	i	i	PRON
cana-4144	498	2	i	i	PRON
cana-4144	499	1	i	i	PRON
cana-4144	499	2	i	i	PRON
cana-4144	500	1	i	i	PRON
cana-4144	500	2	i	i	PRON
cana-4144	501	1			PROPN
cana-4144	502	1			PROPN
cana-4144	503	1			PROPN
cana-4144	503	2			PROPN
cana-4144	503	3			NOUN
cana-4144	503	4			NOUN
cana-4144	503	5			NOUN
cana-4144	503	6			NOUN
cana-4144	503	7			PUNCT
cana-4144	503	8	=	=	PUNCT
cana-4144	503	9			PROPN
cana-4144	503	10			PROPN
cana-4144	503	11			ADJ
cana-4144	503	12			PROPN
cana-4144	503	13	ü	ü	NOUN
cana-4144	503	14	ü	ü	NOUN
cana-4144	503	15	ü	ü	NOUN
cana-4144	503	16	ü	ü	NOUN
cana-4144	503	17	.	.	PUNCT
cana-4144	504	1	6	6	NUM
cana-4144	504	2	.	.	X
cana-4144	505	1	if	if	SCONJ
cana-4144	505	2	1	1	NUM
cana-4144	505	3	2	2	NUM
cana-4144	505	4	(	(	PUNCT
cana-4144	505	5	,	,	PUNCT
cana-4144	505	6	)	)	PUNCT
cana-4144	505	7	(	(	PUNCT
cana-4144	505	8	)	)	PUNCT
cana-4144	505	9	cg	cg	NOUN
cana-4144	505	10	h	h	NOUN
cana-4144	505	11			PROPN
cana-4144	505	12			NOUN
cana-4144	505	13	ü	ü	PROPN
cana-4144	505	14	ü	ü	NOUN
cana-4144	505	15	,	,	PUNCT
cana-4144	505	16	then	then	ADV
cana-4144	505	17	1	1	NUM
cana-4144	505	18	2	2	NUM
cana-4144	505	19	(	(	PUNCT
cana-4144	505	20	,	,	PUNCT
cana-4144	505	21	)	)	PUNCT
cana-4144	505	22	g	g	NOUN
cana-4144	505	23	h	h	NOUN
cana-4144	506	1			PROPN
cana-4144	506	2			PUNCT
cana-4144	506	3	ü	ü	NOUN
cana-4144	506	4	ü	ü	PROPN
cana-4144	506	5	.	.	PUNCT
cana-4144	507	1	this	this	PRON
cana-4144	507	2	implies	imply	VERB
cana-4144	507	3	1	1	NUM
cana-4144	507	4	(	(	PUNCT
cana-4144	507	5	,	,	PUNCT
cana-4144	507	6	)	)	PUNCT
cana-4144	507	7	g	g	PROPN
cana-4144	507	8	h	h	PROPN
cana-4144	507	9	ü	ü	NOUN
cana-4144	507	10	and	and	CCONJ
cana-4144	507	11	2	2	NUM
cana-4144	507	12	(	(	PUNCT
cana-4144	507	13	,	,	PUNCT
cana-4144	507	14	)	)	PUNCT
cana-4144	507	15	g	g	PROPN
cana-4144	507	16	h	h	PROPN
cana-4144	507	17	ü	ü	NOUN
cana-4144	507	18	.	.	PUNCT
cana-4144	508	1	therefore	therefore	ADV
cana-4144	508	2	1	1	NUM
cana-4144	508	3	(	(	PUNCT
cana-4144	508	4	,	,	PUNCT
cana-4144	508	5	)	)	PUNCT
cana-4144	508	6	cg	cg	NOUN
cana-4144	508	7	h	h	NOUN
cana-4144	508	8	ü	ü	PROPN
cana-4144	508	9	and	and	CCONJ
cana-4144	508	10	2	2	NUM
cana-4144	508	11	(	(	PUNCT
cana-4144	508	12	,	,	PUNCT
cana-4144	508	13	)	)	PUNCT
cana-4144	508	14	cg	cg	NOUN
cana-4144	508	15	h	h	NOUN
cana-4144	508	16	ü	ü	PROPN
cana-4144	508	17	,	,	PUNCT
cana-4144	508	18	which	which	PRON
cana-4144	508	19	means	mean	VERB
cana-4144	508	20	1	1	NUM
cana-4144	508	21	2	2	NUM
cana-4144	508	22	(	(	PUNCT
cana-4144	508	23	,	,	PUNCT
cana-4144	508	24	)	)	PUNCT
cana-4144	508	25	c	c	NOUN
cana-4144	508	26	cg	cg	NOUN
cana-4144	508	27	h	h	NOUN
cana-4144	508	28			PROPN
cana-4144	508	29			NOUN
cana-4144	508	30	ü	ü	PROPN
cana-4144	508	31	ü	ü	PROPN
cana-4144	508	32	.	.	PUNCT
cana-4144	509	1	hence	hence	ADV
cana-4144	509	2	1	1	NUM
cana-4144	509	3	2	2	NUM
cana-4144	509	4	1	1	NUM
cana-4144	509	5	2	2	NUM
cana-4144	509	6	(	(	PUNCT
cana-4144	509	7	)	)	PUNCT
cana-4144	510	1	c	c	NOUN
cana-4144	510	2	c	c	NOUN
cana-4144	510	3	c	c	X
cana-4144	511	1			PROPN
cana-4144	511	2			PROPN
cana-4144	512	1			PROPN
cana-4144	512	2			VERB
cana-4144	512	3			PROPN
cana-4144	512	4	ü	ü	PROPN
cana-4144	512	5	ü	ü	PROPN
cana-4144	512	6	ü	ü	NOUN
cana-4144	512	7	ü	ü	PROPN
cana-4144	512	8	.	.	PUNCT
cana-4144	513	1	similarly	similarly	ADV
cana-4144	513	2	,	,	PUNCT
cana-4144	513	3	if	if	SCONJ
cana-4144	513	4	1	1	NUM
cana-4144	513	5	2	2	NUM
cana-4144	513	6	(	(	PUNCT
cana-4144	513	7	,	,	PUNCT
cana-4144	513	8	)	)	PUNCT
cana-4144	513	9	c	c	NOUN
cana-4144	513	10	cg	cg	NOUN
cana-4144	513	11	h	h	NOUN
cana-4144	513	12			PROPN
cana-4144	513	13			NOUN
cana-4144	513	14	ü	ü	PROPN
cana-4144	513	15	ü	ü	PROPN
cana-4144	513	16	,	,	PUNCT
cana-4144	513	17	then	then	ADV
cana-4144	513	18	1	1	NUM
cana-4144	513	19	(	(	PUNCT
cana-4144	513	20	,	,	PUNCT
cana-4144	513	21	)	)	PUNCT
cana-4144	513	22	cg	cg	NOUN
cana-4144	513	23	h	h	NOUN
cana-4144	513	24	ü	ü	PROPN
cana-4144	513	25	and	and	CCONJ
cana-4144	513	26	2	2	NUM
cana-4144	513	27	(	(	PUNCT
cana-4144	513	28	,	,	PUNCT
cana-4144	513	29	)	)	PUNCT
cana-4144	513	30	cg	cg	NOUN
cana-4144	513	31	h	h	NOUN
cana-4144	513	32	ü	ü	PROPN
cana-4144	513	33	.	.	PUNCT
cana-4144	514	1	this	this	PRON
cana-4144	514	2	implies	imply	VERB
cana-4144	514	3	1	1	NUM
cana-4144	514	4	(	(	PUNCT
cana-4144	514	5	,	,	PUNCT
cana-4144	514	6	)	)	PUNCT
cana-4144	514	7	g	g	PROPN
cana-4144	514	8	h	h	PROPN
cana-4144	514	9	ü	ü	NOUN
cana-4144	514	10	and	and	CCONJ
cana-4144	514	11	2	2	NUM
cana-4144	514	12	(	(	PUNCT
cana-4144	514	13	,	,	PUNCT
cana-4144	514	14	)	)	PUNCT
cana-4144	514	15	g	g	PROPN
cana-4144	514	16	h	h	PROPN
cana-4144	514	17	ü	ü	NOUN
cana-4144	514	18	.	.	PUNCT
cana-4144	515	1	therefore	therefore	ADV
cana-4144	515	2	1	1	NUM
cana-4144	515	3	2	2	NUM
cana-4144	515	4	(	(	PUNCT
cana-4144	515	5	,	,	PUNCT
cana-4144	515	6	)	)	PUNCT
cana-4144	515	7	g	g	NOUN
cana-4144	515	8	h	h	NOUN
cana-4144	515	9			PROPN
cana-4144	515	10			PUNCT
cana-4144	515	11	ü	ü	NOUN
cana-4144	515	12	ü	ü	PROPN
cana-4144	515	13	,	,	PUNCT
cana-4144	515	14	which	which	PRON
cana-4144	515	15	means	mean	VERB
cana-4144	515	16	1	1	NUM
cana-4144	515	17	2	2	NUM
cana-4144	515	18	(	(	PUNCT
cana-4144	515	19	,	,	PUNCT
cana-4144	515	20	)	)	PUNCT
cana-4144	515	21	(	(	PUNCT
cana-4144	515	22	)	)	PUNCT
cana-4144	515	23	cg	cg	NOUN
cana-4144	515	24	h	h	NOUN
cana-4144	515	25			PROPN
cana-4144	515	26			NOUN
cana-4144	515	27	ü	ü	PROPN
cana-4144	515	28	ü	ü	NOUN
cana-4144	515	29	.	.	PUNCT
cana-4144	516	1	thus	thus	ADV
cana-4144	516	2	1	1	NUM
cana-4144	516	3	2	2	NUM
cana-4144	516	4	1	1	NUM
cana-4144	516	5	2	2	NUM
cana-4144	516	6	(	(	PUNCT
cana-4144	516	7	)	)	PUNCT
cana-4144	517	1	c	c	NOUN
cana-4144	518	1	c	c	NOUN
cana-4144	518	2	c	c	X
cana-4144	519	1			PROPN
cana-4144	519	2			PROPN
cana-4144	520	1			PROPN
cana-4144	520	2			PROPN
cana-4144	520	3			PROPN
cana-4144	520	4	ü	ü	PROPN
cana-4144	520	5	ü	ü	NOUN
cana-4144	520	6	ü	ü	NOUN
cana-4144	520	7	ü	ü	NOUN
cana-4144	520	8	.	.	PUNCT
cana-4144	521	1	hence	hence	ADV
cana-4144	521	2	(	(	PUNCT
cana-4144	521	3	)	)	SYM
cana-4144	521	4	1	1	NUM
cana-4144	521	5	2	2	NUM
cana-4144	521	6	1	1	NUM
cana-4144	521	7	2	2	NUM
cana-4144	521	8	c	c	NOUN
cana-4144	521	9	c	c	NOUN
cana-4144	521	10	c	c	NOUN
cana-4144	522	1			PROPN
cana-4144	522	2			PROPN
cana-4144	523	1			PROPN
cana-4144	523	2			X
cana-4144	523	3	=	=	SYM
cana-4144	523	4	ü	ü	PROPN
cana-4144	523	5	ü	ü	NOUN
cana-4144	523	6	ü	ü	NOUN
cana-4144	523	7	ü	ü	PROPN
cana-4144	523	8	.	.	PUNCT
cana-4144	524	1	similarly	similarly	ADV
cana-4144	524	2	(	(	PUNCT
cana-4144	524	3	)	)	SYM
cana-4144	524	4	1	1	NUM
cana-4144	524	5	2	2	NUM
cana-4144	524	6	1	1	NUM
cana-4144	524	7	2	2	NUM
cana-4144	524	8	c	c	NOUN
cana-4144	524	9	c	c	NOUN
cana-4144	524	10	c	c	NOUN
cana-4144	525	1			PROPN
cana-4144	525	2			PROPN
cana-4144	526	1			PROPN
cana-4144	526	2			PROPN
cana-4144	526	3	=	=	SYM
cana-4144	526	4	ü	ü	PROPN
cana-4144	526	5	ü	ü	NOUN
cana-4144	526	6	ü	ü	NOUN
cana-4144	526	7	ü	ü	NOUN
cana-4144	526	8	.	.	PUNCT
cana-4144	527	1	7	7	X
cana-4144	527	2	.	.	X
cana-4144	527	3	let	let	VERB
cana-4144	527	4	us	we	PRON
cana-4144	527	5	claim	claim	VERB
cana-4144	527	6	:	:	PUNCT
cana-4144	527	7	(	(	PUNCT
cana-4144	527	8	)	)	SYM
cana-4144	527	9	1	1	NUM
cana-4144	527	10	1	1	NUM
cana-4144	527	11	2	2	NUM
cana-4144	527	12	1	1	NUM
cana-4144	527	13			PROPN
cana-4144	527	14			PROPN
cana-4144	527	15			PROPN
cana-4144	527	16			X
cana-4144	527	17	ü	ü	NOUN
cana-4144	527	18	ü	ü	NOUN
cana-4144	527	19	ü	ü	NOUN
cana-4144	527	20	ü	ü	NOUN
cana-4144	527	21	.	.	PUNCT
cana-4144	528	1	if	if	SCONJ
cana-4144	528	2	1	1	NUM
cana-4144	528	3	1	1	NUM
cana-4144	528	4	2	2	NUM
cana-4144	528	5	(	(	PUNCT
cana-4144	528	6	,	,	PUNCT
cana-4144	528	7	)	)	PUNCT
cana-4144	528	8	(	(	PUNCT
cana-4144	528	9	)	)	PUNCT
cana-4144	528	10	g	g	NOUN
cana-4144	528	11	h	h	NOUN
cana-4144	528	12			PROPN
cana-4144	528	13			PROPN
cana-4144	528	14			NOUN
cana-4144	528	15			PUNCT
cana-4144	528	16	ü	ü	NOUN
cana-4144	528	17	ü	ü	PROPN
cana-4144	528	18	ü	ü	NOUN
cana-4144	528	19	,	,	PUNCT
cana-4144	528	20	then	then	ADV
cana-4144	528	21	1	1	NUM
cana-4144	528	22	(	(	PUNCT
cana-4144	528	23	,	,	PUNCT
cana-4144	528	24	)	)	PUNCT
cana-4144	528	25	g	g	PROPN
cana-4144	528	26	h	h	PROPN
cana-4144	528	27	ü	ü	PROPN
cana-4144	528	28	and	and	CCONJ
cana-4144	528	29	1	1	NUM
cana-4144	528	30	2	2	NUM
cana-4144	528	31	(	(	PUNCT
cana-4144	528	32	,	,	PUNCT
cana-4144	528	33	)	)	PUNCT
cana-4144	528	34	(	(	PUNCT
cana-4144	528	35	)	)	PUNCT
cana-4144	528	36	g	g	NOUN
cana-4144	528	37	h	h	NOUN
cana-4144	528	38			PROPN
cana-4144	528	39			NOUN
cana-4144	528	40	ü	ü	PROPN
cana-4144	528	41	ü	ü	NOUN
cana-4144	528	42	.	.	PUNCT
cana-4144	529	1	this	this	PRON
cana-4144	529	2	implies	imply	VERB
cana-4144	529	3	1	1	NUM
cana-4144	529	4	(	(	PUNCT
cana-4144	529	5	,	,	PUNCT
cana-4144	529	6	)	)	PUNCT
cana-4144	529	7	g	g	PROPN
cana-4144	529	8	h	h	PROPN
cana-4144	529	9	ü	ü	PROPN
cana-4144	529	10	.	.	PUNCT
cana-4144	530	1	therefore	therefore	ADV
cana-4144	530	2	(	(	PUNCT
cana-4144	530	3	)	)	SYM
cana-4144	530	4	1	1	NUM
cana-4144	530	5	1	1	NUM
cana-4144	530	6	2	2	NUM
cana-4144	530	7	1	1	NUM
cana-4144	530	8			PROPN
cana-4144	530	9			PROPN
cana-4144	530	10			PROPN
cana-4144	530	11			X
cana-4144	530	12	ü	ü	NOUN
cana-4144	530	13	ü	ü	NOUN
cana-4144	530	14	ü	ü	NOUN
cana-4144	530	15	ü	ü	NOUN
cana-4144	530	16	.	.	PUNCT
cana-4144	531	1	now	now	ADV
cana-4144	531	2	,	,	PUNCT
cana-4144	531	3	suppose	suppose	VERB
cana-4144	531	4	(	(	PUNCT
cana-4144	531	5	)	)	SYM
cana-4144	531	6	1	1	NUM
cana-4144	531	7	1	1	NUM
cana-4144	531	8	1	1	NUM
cana-4144	531	9	2	2	NOUN
cana-4144	531	10			PROPN
cana-4144	531	11			PROPN
cana-4144	532	1			PROPN
cana-4144	532	2			NOUN
cana-4144	532	3	ü	ü	PROPN
cana-4144	532	4	ü	ü	PROPN
cana-4144	532	5	ü	ü	NOUN
cana-4144	532	6	ü	ü	NOUN
cana-4144	532	7	.	.	PUNCT
cana-4144	533	1	if	if	SCONJ
cana-4144	533	2	1	1	NUM
cana-4144	533	3	(	(	PUNCT
cana-4144	533	4	,	,	PUNCT
cana-4144	533	5	)	)	PUNCT
cana-4144	533	6	g	g	PROPN
cana-4144	533	7	h	h	PROPN
cana-4144	533	8	ü	ü	PROPN
cana-4144	533	9	,	,	PUNCT
cana-4144	533	10	then	then	ADV
cana-4144	533	11	1	1	NUM
cana-4144	533	12	2	2	NUM
cana-4144	533	13	(	(	PUNCT
cana-4144	533	14	,	,	PUNCT
cana-4144	533	15	)	)	PUNCT
cana-4144	533	16	g	g	NOUN
cana-4144	533	17	h	h	NOUN
cana-4144	534	1			PROPN
cana-4144	534	2			NOUN
cana-4144	534	3	ü	ü	PROPN
cana-4144	534	4	ü	ü	NOUN
cana-4144	534	5	.	.	PUNCT
cana-4144	535	1	thus	thus	ADV
cana-4144	535	2	1	1	NUM
cana-4144	535	3	(	(	PUNCT
cana-4144	535	4	,	,	PUNCT
cana-4144	535	5	)	)	PUNCT
cana-4144	535	6	g	g	PROPN
cana-4144	535	7	h	h	PROPN
cana-4144	535	8	ü	ü	PROPN
cana-4144	535	9	and	and	CCONJ
cana-4144	535	10	1	1	NUM
cana-4144	535	11	2	2	NUM
cana-4144	535	12	(	(	PUNCT
cana-4144	535	13	,	,	PUNCT
cana-4144	535	14	)	)	PUNCT
cana-4144	535	15	g	g	NOUN
cana-4144	535	16	h	h	NOUN
cana-4144	536	1			PROPN
cana-4144	536	2			NOUN
cana-4144	536	3	ü	ü	PROPN
cana-4144	536	4	ü	ü	PROPN
cana-4144	536	5	,	,	PUNCT
cana-4144	536	6	which	which	PRON
cana-4144	536	7	means	mean	VERB
cana-4144	536	8	1	1	NUM
cana-4144	536	9	1	1	NUM
cana-4144	536	10	2	2	NUM
cana-4144	536	11	(	(	PUNCT
cana-4144	536	12	,	,	PUNCT
cana-4144	536	13	)	)	PUNCT
cana-4144	536	14	(	(	PUNCT
cana-4144	536	15	)	)	PUNCT
cana-4144	536	16	g	g	NOUN
cana-4144	536	17	h	h	NOUN
cana-4144	536	18			PROPN
cana-4144	536	19			PROPN
cana-4144	536	20			NOUN
cana-4144	536	21			PUNCT
cana-4144	536	22	ü	ü	NOUN
cana-4144	536	23	ü	ü	PROPN
cana-4144	536	24	ü	ü	NOUN
cana-4144	536	25	,	,	PUNCT
cana-4144	536	26	this	this	PRON
cana-4144	536	27	implies	imply	VERB
cana-4144	536	28	(	(	PUNCT
cana-4144	536	29	)	)	SYM
cana-4144	536	30	1	1	NUM
cana-4144	536	31	1	1	NUM
cana-4144	536	32	1	1	NUM
cana-4144	536	33	2	2	NOUN
cana-4144	536	34			PROPN
cana-4144	536	35			PROPN
cana-4144	536	36			PROPN
cana-4144	536	37			NOUN
cana-4144	536	38	ü	ü	PROPN
cana-4144	536	39	ü	ü	PROPN
cana-4144	536	40	ü	ü	NOUN
cana-4144	536	41	ü	ü	PROPN
cana-4144	536	42	.	.	PUNCT
cana-4144	537	1	therefore	therefore	ADV
cana-4144	537	2	(	(	PUNCT
cana-4144	537	3	)	)	SYM
cana-4144	537	4	1	1	NUM
cana-4144	537	5	1	1	NUM
cana-4144	537	6	1	1	NUM
cana-4144	537	7	2	2	NOUN
cana-4144	538	1			PROPN
cana-4144	538	2			PROPN
cana-4144	538	3	=	=	PROPN
cana-4144	538	4			NOUN
cana-4144	538	5	ü	ü	PROPN
cana-4144	538	6	ü	ü	PROPN
cana-4144	538	7	ü	ü	NOUN
cana-4144	538	8	ü	ü	NOUN
cana-4144	538	9	.	.	PUNCT
cana-4144	539	1	8	8	X
cana-4144	539	2	.	.	X
cana-4144	540	1	let	let	VERB
cana-4144	540	2	(	(	PUNCT
cana-4144	540	3	,	,	PUNCT
cana-4144	540	4	)	)	PUNCT
cana-4144	541	1	c	c	NOUN
cana-4144	542	1	i	i	PRON
cana-4144	542	2	i	i	PRON
cana-4144	543	1	i	i	PRON
cana-4144	544	1	g	g	NOUN
cana-4144	545	1	h	h	NOUN
cana-4144	546	1			PROPN
cana-4144	546	2			PROPN
cana-4144	546	3			NOUN
cana-4144	546	4			PROPN
cana-4144	546	5			PROPN
cana-4144	546	6			PROPN
cana-4144	546	7			PROPN
cana-4144	546	8			PROPN
cana-4144	546	9	ü	ü	NOUN
cana-4144	546	10	.	.	PUNCT
cana-4144	547	1	this	this	PRON
cana-4144	547	2	implies	imply	VERB
cana-4144	547	3	(	(	PUNCT
cana-4144	547	4	,	,	PUNCT
cana-4144	547	5	)	)	PUNCT
cana-4144	547	6	c	c	NOUN
cana-4144	548	1	i	i	PRON
cana-4144	548	2	i	i	PRON
cana-4144	549	1	i	i	PRON
cana-4144	550	1	g	g	NOUN
cana-4144	551	1	h	h	NOUN
cana-4144	552	1			PROPN
cana-4144	552	2			PROPN
cana-4144	552	3			PROPN
cana-4144	552	4	ü	ü	INTJ
cana-4144	552	5	.	.	PUNCT
cana-4144	553	1	hence	hence	ADV
cana-4144	553	2	c	c	NOUN
cana-4144	554	1	c	c	NOUN
cana-4144	555	1	i	i	PRON
cana-4144	556	1	i	i	PRON
cana-4144	557	1	i	i	PRON
cana-4144	558	1	i	i	PRON
cana-4144	559	1	i	i	PRON
cana-4144	560	1	i	i	PRON
cana-4144	560	2			PROPN
cana-4144	560	3			PROPN
cana-4144	560	4			NOUN
cana-4144	560	5			PROPN
cana-4144	560	6			NOUN
cana-4144	560	7			PROPN
cana-4144	561	1	=	=	SYM
cana-4144	561	2			PROPN
cana-4144	561	3			PROPN
cana-4144	562	1			PROPN
cana-4144	562	2			PROPN
cana-4144	562	3	ü	ü	NOUN
cana-4144	562	4	ü	ü	NOUN
cana-4144	562	5	.	.	PUNCT
cana-4144	563	1	similarly	similarly	ADV
cana-4144	563	2	,	,	PUNCT
cana-4144	563	3	c	c	NOUN
cana-4144	563	4	c	c	NOUN
cana-4144	564	1	i	i	PRON
cana-4144	564	2	i	i	PRON
cana-4144	565	1	i	i	PRON
cana-4144	565	2	i	i	PRON
cana-4144	566	1	i	i	PRON
cana-4144	567	1	i	i	PRON
cana-4144	567	2			PROPN
cana-4144	567	3			PROPN
cana-4144	567	4			NOUN
cana-4144	567	5			PROPN
cana-4144	567	6			NOUN
cana-4144	567	7			PROPN
cana-4144	568	1	=	=	SYM
cana-4144	568	2			PROPN
cana-4144	568	3			PROPN
cana-4144	569	1			PROPN
cana-4144	569	2			PROPN
cana-4144	569	3	ü	ü	NOUN
cana-4144	569	4	ü	ü	NOUN
cana-4144	569	5	.	.	PUNCT
cana-4144	570	1	9	9	X
cana-4144	570	2	.	.	X
cana-4144	570	3	let	let	VERB
cana-4144	570	4	1	1	NUM
cana-4144	570	5	(	(	PUNCT
cana-4144	570	6	,	,	PUNCT
cana-4144	570	7	)	)	PUNCT
cana-4144	570	8	(	(	PUNCT
cana-4144	570	9	)	)	PUNCT
cana-4144	570	10	c	c	NOUN
cana-4144	570	11	cg	cg	NOUN
cana-4144	570	12	h	h	PROPN
cana-4144	570	13			PROPN
cana-4144	570	14	ü	ü	PROPN
cana-4144	570	15	.	.	PUNCT
cana-4144	571	1	this	this	PRON
cana-4144	571	2	means	mean	VERB
cana-4144	571	3	1	1	NUM
cana-4144	571	4	(	(	PUNCT
cana-4144	571	5	,	,	PUNCT
cana-4144	571	6	)	)	PUNCT
cana-4144	571	7	cg	cg	NOUN
cana-4144	571	8	h	h	NOUN
cana-4144	571	9	ü	ü	NOUN
cana-4144	571	10	,	,	PUNCT
cana-4144	571	11	which	which	PRON
cana-4144	571	12	implies	imply	VERB
cana-4144	571	13	1	1	NUM
cana-4144	571	14	(	(	PUNCT
cana-4144	571	15	,	,	PUNCT
cana-4144	571	16	)	)	PUNCT
cana-4144	571	17	g	g	PROPN
cana-4144	571	18	h	h	PROPN
cana-4144	571	19	ü	ü	PROPN
cana-4144	571	20	,	,	PUNCT
cana-4144	571	21	therefore	therefore	ADV
cana-4144	571	22	1	1	NUM
cana-4144	571	23	1	1	NUM
cana-4144	571	24	(	(	PUNCT
cana-4144	571	25	)	)	PUNCT
cana-4144	571	26	c	c	NOUN
cana-4144	571	27	c	c	PROPN
cana-4144	572	1			PROPN
cana-4144	572	2	ü	ü	PROPN
cana-4144	572	3	ü	ü	INTJ
cana-4144	572	4	.	.	PUNCT
cana-4144	573	1	similarly	similarly	ADV
cana-4144	573	2	1	1	NUM
cana-4144	573	3	1	1	NUM
cana-4144	573	4	(	(	PUNCT
cana-4144	573	5	)	)	PUNCT
cana-4144	573	6	c	c	NOUN
cana-4144	573	7	c	c	PROPN
cana-4144	574	1			PROPN
cana-4144	574	2	ü	ü	PROPN
cana-4144	574	3	ü	ü	INTJ
cana-4144	574	4	.	.	PUNCT
cana-4144	575	1	hence	hence	ADV
cana-4144	575	2	1	1	NUM
cana-4144	575	3	1	1	NUM
cana-4144	575	4	(	(	PUNCT
cana-4144	575	5	)	)	PUNCT
cana-4144	575	6	c	c	NOUN
cana-4144	575	7	c	c	PROPN
cana-4144	575	8			PROPN
cana-4144	575	9	=ü	=ü	PROPN
cana-4144	576	1	ü	ü	INTJ
cana-4144	576	2	.	.	PUNCT
cana-4144	577	1	the	the	DET
cana-4144	577	2	composition	composition	NOUN
cana-4144	577	3	operation	operation	NOUN
cana-4144	577	4	is	be	AUX
cana-4144	577	5	the	the	DET
cana-4144	577	6	process	process	NOUN
cana-4144	577	7	of	of	ADP
cana-4144	577	8	combining	combine	VERB
cana-4144	577	9	signed	sign	VERB
cana-4144	577	10	-	-	PUNCT
cana-4144	577	11	frs	frs	NOUN
cana-4144	577	12	across	across	ADP
cana-4144	577	13	several	several	ADJ
cana-4144	577	14	product	product	NOUN
cana-4144	577	15	spaces	space	NOUN
cana-4144	577	16	.	.	PUNCT
cana-4144	578	1	here	here	ADV
cana-4144	578	2	,	,	PUNCT
cana-4144	578	3	we	we	PRON
cana-4144	578	4	discuss	discuss	VERB
cana-4144	578	5	two	two	NUM
cana-4144	578	6	common	common	ADJ
cana-4144	578	7	operations	operation	NOUN
cana-4144	578	8	:	:	PUNCT
cana-4144	578	9	max	max	PROPN
cana-4144	578	10	-	-	PUNCT
cana-4144	578	11	min	min	NOUN
cana-4144	578	12	composition	composition	NOUN
cana-4144	578	13	and	and	CCONJ
cana-4144	578	14	max	max	NOUN
cana-4144	578	15	-	-	PUNCT
cana-4144	578	16	product	product	NOUN
cana-4144	578	17	composition	composition	NOUN
cana-4144	578	18	.	.	PUNCT
cana-4144	579	1	in	in	ADP
cana-4144	579	2	essence	essence	NOUN
cana-4144	579	3	,	,	PUNCT
cana-4144	579	4	these	these	DET
cana-4144	579	5	operations	operation	NOUN
cana-4144	579	6	let	let	VERB
cana-4144	579	7	us	we	PRON
cana-4144	579	8	merge	merge	VERB
cana-4144	579	9	two	two	NUM
cana-4144	579	10	or	or	CCONJ
cana-4144	579	11	more	more	ADV
cana-4144	579	12	signed	sign	VERB
cana-4144	579	13	-	-	PUNCT
cana-4144	579	14	fr	fr	NOUN
cana-4144	579	15	relations	relation	NOUN
cana-4144	579	16	.	.	PUNCT
cana-4144	580	1	depending	depend	VERB
cana-4144	580	2	on	on	ADP
cana-4144	580	3	the	the	DET
cana-4144	580	4	circumstance	circumstance	NOUN
cana-4144	580	5	,	,	PUNCT
cana-4144	580	6	there	there	PRON
cana-4144	580	7	are	be	VERB
cana-4144	580	8	numerous	numerous	ADJ
cana-4144	580	9	ways	way	NOUN
cana-4144	580	10	to	to	PART
cana-4144	580	11	define	define	VERB
cana-4144	580	12	it	it	PRON
cana-4144	580	13	.	.	PUNCT
cana-4144	581	1	communications	communication	NOUN
cana-4144	581	2	on	on	ADP
cana-4144	581	3	applied	apply	VERB
cana-4144	581	4	nonlinear	nonlinear	ADJ
cana-4144	581	5	analysis	analysis	NOUN
cana-4144	581	6	issn	issn	NOUN
cana-4144	581	7	:	:	PUNCT
cana-4144	581	8	1074	1074	NUM
cana-4144	581	9	-	-	PUNCT
cana-4144	581	10	133x	133x	NUM
cana-4144	581	11	vol	vol	NOUN
cana-4144	581	12	x	x	NOUN
cana-4144	581	13	no	no	INTJ
cana-4144	581	14	.	.	PUNCT
cana-4144	582	1	y	y	PROPN
cana-4144	582	2	(	(	PUNCT
cana-4144	582	3	2025	2025	NUM
cana-4144	582	4	)	)	PUNCT
cana-4144	582	5	1340	1340	NUM
cana-4144	582	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	582	7	definition	definition	NOUN
cana-4144	582	8	3.3	3.3	NUM
cana-4144	582	9	.	.	PUNCT
cana-4144	583	1	let	let	VERB
cana-4144	583	2	1	1	NUM
cana-4144	583	3	(	(	PUNCT
cana-4144	583	4	)	)	PUNCT
cana-4144	583	5	signed	sign	VERB
cana-4144	583	6	fr	fr	NOUN
cana-4144	583	7	x	x	PROPN
cana-4144	583	8	y	y	PROPN
cana-4144	583	9			NOUN
cana-4144	583	10	−	−	PROPN
cana-4144	583	11	ü	ü	VERB
cana-4144	583	12	,	,	PUNCT
cana-4144	583	13	and	and	CCONJ
cana-4144	583	14	let	let	VERB
cana-4144	583	15	2	2	NUM
cana-4144	583	16	(	(	PUNCT
cana-4144	583	17	)	)	PUNCT
cana-4144	583	18	signed	sign	VERB
cana-4144	583	19	fr	fr	PROPN
cana-4144	583	20	y	y	PROPN
cana-4144	583	21	z	z	PROPN
cana-4144	583	22			NOUN
cana-4144	583	23	−	−	PROPN
cana-4144	583	24	ü	ü	NOUN
cana-4144	583	25	.	.	PUNCT
cana-4144	584	1	then	then	ADV
cana-4144	584	2	,	,	PUNCT
cana-4144	584	3	the	the	DET
cana-4144	584	4	composition	composition	NOUN
cana-4144	584	5	of	of	ADP
cana-4144	584	6	1ü	1ü	NOUN
cana-4144	584	7	and	and	CCONJ
cana-4144	584	8	2ü	2ü	NOUN
cana-4144	584	9	is	be	AUX
cana-4144	584	10	(	(	PUNCT
cana-4144	584	11	)	)	PUNCT
cana-4144	584	12			PROPN
cana-4144	584	13	2	2	NOUN
cana-4144	584	14	1	1	NUM
cana-4144	584	15	1	1	NUM
cana-4144	584	16	2	2	NUM
cana-4144	584	17	(	(	PUNCT
cana-4144	584	18	,	,	PUNCT
cana-4144	584	19	)	)	PUNCT
cana-4144	584	20	(	(	PUNCT
cana-4144	584	21	,	,	PUNCT
cana-4144	584	22	)	)	PUNCT
cana-4144	584	23	(	(	PUNCT
cana-4144	584	24	,	,	PUNCT
cana-4144	584	25	)	)	PUNCT
cana-4144	584	26	h	h	NOUN
cana-4144	585	1	y	y	NOUN
cana-4144	585	2	g	g	PROPN
cana-4144	586	1	i	i	PRON
cana-4144	586	2	g	g	PROPN
cana-4144	587	1	h	h	NOUN
cana-4144	587	2	h	h	NOUN
cana-4144	587	3	i	i	PROPN
cana-4144	588	1			PROPN
cana-4144	588	2			PROPN
cana-4144	588	3			PROPN
cana-4144	588	4			NOUN
cana-4144	588	5			NOUN
cana-4144	588	6	=	=	SYM
cana-4144	588	7	ü	ü	PROPN
cana-4144	588	8	ü	ü	NOUN
cana-4144	588	9	ü	ü	NOUN
cana-4144	588	10	ü	ü	PROPN
cana-4144	588	11	theorem	theorem	VERB
cana-4144	588	12	3.3	3.3	NUM
cana-4144	588	13	.	.	PUNCT
cana-4144	589	1	1	1	NUM
cana-4144	589	2	.	.	X
cana-4144	590	1	if	if	SCONJ
cana-4144	590	2	1	1	NUM
cana-4144	590	3	2	2	NUM
cana-4144	590	4	(	(	PUNCT
cana-4144	590	5	)	)	PUNCT
cana-4144	590	6	,	,	PUNCT
cana-4144	590	7	(	(	PUNCT
cana-4144	590	8	)	)	PUNCT
cana-4144	590	9	signed	sign	VERB
cana-4144	590	10	fr	fr	NOUN
cana-4144	590	11	x	x	PROPN
cana-4144	590	12	y	y	PROPN
cana-4144	590	13	signed	sign	VERB
cana-4144	590	14	fr	fr	PROPN
cana-4144	590	15	y	y	PROPN
cana-4144	590	16	z	z	PROPN
cana-4144	590	17			NOUN
cana-4144	590	18	−	−	PROPN
cana-4144	590	19			VERB
cana-4144	590	20			NOUN
cana-4144	590	21	−	−	PROPN
cana-4144	591	1	ü	ü	PROPN
cana-4144	591	2	ü	ü	PROPN
cana-4144	591	3	and	and	CCONJ
cana-4144	591	4	3	3	NUM
cana-4144	591	5	(	(	PUNCT
cana-4144	591	6	)	)	PUNCT
cana-4144	591	7	signed	sign	VERB
cana-4144	591	8	fr	fr	PROPN
cana-4144	591	9	z	z	PROPN
cana-4144	591	10	w	w	PROPN
cana-4144	591	11			NOUN
cana-4144	591	12	−	−	PROPN
cana-4144	592	1	ü	ü	VERB
cana-4144	592	2	,	,	PUNCT
cana-4144	592	3	then	then	ADV
cana-4144	592	4	1	1	NUM
cana-4144	592	5	2	2	NUM
cana-4144	592	6	3	3	NUM
cana-4144	592	7	1	1	NUM
cana-4144	592	8	2	2	NUM
cana-4144	592	9	3	3	NUM
cana-4144	592	10	(	(	PUNCT
cana-4144	592	11	)	)	PUNCT
cana-4144	592	12	(	(	PUNCT
cana-4144	592	13	)	)	PUNCT
cana-4144	593	1			PROPN
cana-4144	593	2			PROPN
cana-4144	594	1			PROPN
cana-4144	594	2			PROPN
cana-4144	594	3			PROPN
cana-4144	594	4			ADJ
cana-4144	594	5			NOUN
cana-4144	594	6	=	=	SYM
cana-4144	594	7			NOUN
cana-4144	594	8	ü	ü	NOUN
cana-4144	595	1	ü	ü	NOUN
cana-4144	595	2	ü	ü	NOUN
cana-4144	595	3	ü	ü	NOUN
cana-4144	595	4	ü	ü	NOUN
cana-4144	595	5	ü	ü	NOUN
cana-4144	595	6	.	.	PUNCT
cana-4144	596	1	2	2	X
cana-4144	596	2	.	.	X
cana-4144	597	1	if	if	SCONJ
cana-4144	597	2	2	2	NUM
cana-4144	597	3	3	3	NUM
cana-4144	597	4	,	,	PUNCT
cana-4144	597	5	(	(	PUNCT
cana-4144	597	6	)	)	PUNCT
cana-4144	597	7	signed	sign	VERB
cana-4144	597	8	fr	fr	NOUN
cana-4144	597	9	x	x	PROPN
cana-4144	597	10	y	y	PROPN
cana-4144	598	1			PROPN
cana-4144	598	2			NOUN
cana-4144	598	3	−	−	PROPN
cana-4144	598	4	ü	ü	PROPN
cana-4144	598	5	ü	ü	PROPN
cana-4144	598	6	and	and	CCONJ
cana-4144	598	7	1	1	NUM
cana-4144	598	8	(	(	PUNCT
cana-4144	598	9	)	)	PUNCT
cana-4144	598	10	signed	sign	VERB
cana-4144	598	11	fr	fr	PROPN
cana-4144	598	12	y	y	PROPN
cana-4144	598	13	z	z	PROPN
cana-4144	598	14			NOUN
cana-4144	598	15	−	−	PROPN
cana-4144	599	1	ü	ü	VERB
cana-4144	599	2	,	,	PUNCT
cana-4144	599	3	then	then	ADV
cana-4144	599	4	1	1	NUM
cana-4144	599	5	2	2	NUM
cana-4144	599	6	3	3	NUM
cana-4144	599	7	1	1	NUM
cana-4144	599	8	2	2	NUM
cana-4144	599	9	1	1	NUM
cana-4144	599	10	3	3	NUM
cana-4144	599	11	(	(	PUNCT
cana-4144	599	12	)	)	PUNCT
cana-4144	599	13	(	(	PUNCT
cana-4144	599	14	)	)	PUNCT
cana-4144	599	15	(	(	PUNCT
cana-4144	599	16	)	)	PUNCT
cana-4144	599	17			PROPN
cana-4144	599	18			PROPN
cana-4144	600	1			PROPN
cana-4144	601	1			PROPN
cana-4144	602	1			PROPN
cana-4144	602	2			PROPN
cana-4144	602	3			PROPN
cana-4144	602	4			NOUN
cana-4144	602	5	=	=	SYM
cana-4144	602	6			PROPN
cana-4144	602	7			NOUN
cana-4144	602	8	ü	ü	PROPN
cana-4144	603	1	ü	ü	NOUN
cana-4144	603	2	ü	ü	NOUN
cana-4144	603	3	ü	ü	NOUN
cana-4144	603	4	ü	ü	NOUN
cana-4144	603	5	ü	ü	NOUN
cana-4144	603	6	ü	ü	NOUN
cana-4144	603	7	.	.	PUNCT
cana-4144	604	1	3	3	X
cana-4144	604	2	.	.	X
cana-4144	605	1	if	if	SCONJ
cana-4144	605	2	1	1	NUM
cana-4144	605	3	2	2	NUM
cana-4144	605	4	ü	ü	PROPN
cana-4144	605	5	ü	ü	NOUN
cana-4144	605	6	,	,	PUNCT
cana-4144	605	7	then	then	ADV
cana-4144	605	8	2	2	NUM
cana-4144	605	9	1	1	NUM
cana-4144	605	10	2	2	NUM
cana-4144	605	11	2	2	NOUN
cana-4144	605	12			PROPN
cana-4144	605	13			PROPN
cana-4144	605	14			VERB
cana-4144	605	15			PROPN
cana-4144	605	16	ü	ü	PROPN
cana-4144	605	17	ü	ü	NOUN
cana-4144	605	18	ü	ü	NOUN
cana-4144	605	19	ü	ü	NOUN
cana-4144	605	20	,	,	PUNCT
cana-4144	605	21	where	where	SCONJ
cana-4144	605	22	1	1	NUM
cana-4144	605	23	2	2	NUM
cana-4144	605	24	,	,	PUNCT
cana-4144	605	25	(	(	PUNCT
cana-4144	605	26	)	)	PUNCT
cana-4144	605	27	signed	sign	VERB
cana-4144	606	1	fr	fr	NOUN
cana-4144	606	2	x	x	PROPN
cana-4144	606	3	y	y	PROPN
cana-4144	607	1			PROPN
cana-4144	607	2			NOUN
cana-4144	607	3	−	−	PROPN
cana-4144	607	4	ü	ü	PROPN
cana-4144	607	5	ü	ü	PROPN
cana-4144	607	6	and	and	CCONJ
cana-4144	607	7	3	3	NUM
cana-4144	607	8	(	(	PUNCT
cana-4144	607	9	)	)	PUNCT
cana-4144	607	10	signed	sign	VERB
cana-4144	607	11	fr	fr	PROPN
cana-4144	607	12	y	y	PROPN
cana-4144	607	13	z	z	PROPN
cana-4144	607	14			NOUN
cana-4144	607	15	−	−	PROPN
cana-4144	607	16	ü	ü	NOUN
cana-4144	607	17	.	.	PUNCT
cana-4144	608	1	4	4	X
cana-4144	608	2	.	.	X
cana-4144	609	1	if	if	SCONJ
cana-4144	609	2	1	1	NUM
cana-4144	609	3	(	(	PUNCT
cana-4144	609	4	)	)	PUNCT
cana-4144	609	5	signed	sign	VERB
cana-4144	609	6	fr	fr	NOUN
cana-4144	609	7	x	x	PROPN
cana-4144	609	8	y	y	PROPN
cana-4144	609	9			NOUN
cana-4144	609	10	−	−	PROPN
cana-4144	609	11	ü	ü	VERB
cana-4144	609	12	and	and	CCONJ
cana-4144	609	13	(	(	PUNCT
cana-4144	609	14	)	)	PUNCT
cana-4144	609	15	signed	sign	VERB
cana-4144	609	16	fr	fr	PROPN
cana-4144	609	17	y	y	PROPN
cana-4144	609	18	z	z	PROPN
cana-4144	609	19			NOUN
cana-4144	610	1	−	−	PROPN
cana-4144	610	2			NOUN
cana-4144	610	3	,	,	PUNCT
cana-4144	610	4	then	then	ADV
cana-4144	610	5	1	1	NUM
cana-4144	610	6	1	1	NUM
cana-4144	610	7	1	1	NUM
cana-4144	610	8	2	2	NUM
cana-4144	610	9	1	1	NUM
cana-4144	610	10	1	1	NUM
cana-4144	610	11	2	2	NUM
cana-4144	610	12	(	(	PUNCT
cana-4144	610	13	)	)	PUNCT
cana-4144	610	14	−	−	PROPN
cana-4144	610	15	−	−	NOUN
cana-4144	611	1	−	−	PROPN
cana-4144	612	1			PROPN
cana-4144	612	2			PROPN
cana-4144	612	3			PROPN
cana-4144	612	4			NOUN
cana-4144	612	5	=	=	PUNCT
cana-4144	612	6	ü	ü	NOUN
cana-4144	612	7	ü	ü	NOUN
cana-4144	612	8	ü	ü	NOUN
cana-4144	612	9	ü	ü	NOUN
cana-4144	612	10	.	.	PUNCT
cana-4144	613	1	proof	proof	NOUN
cana-4144	613	2	.	.	PUNCT
cana-4144	614	1	1	1	X
cana-4144	614	2	.	.	X
cana-4144	614	3	let	let	VERB
cana-4144	614	4	1	1	NUM
cana-4144	614	5	(	(	PUNCT
cana-4144	614	6	)	)	PUNCT
cana-4144	614	7	signed	sign	VERB
cana-4144	614	8	fr	fr	NOUN
cana-4144	614	9	x	x	PROPN
cana-4144	614	10	y	y	PROPN
cana-4144	614	11			NOUN
cana-4144	614	12	−	−	PROPN
cana-4144	615	1	ü	ü	NOUN
cana-4144	615	2	,	,	PUNCT
cana-4144	615	3	2	2	NUM
cana-4144	615	4	(	(	PUNCT
cana-4144	615	5	)	)	PUNCT
cana-4144	615	6	signed	sign	VERB
cana-4144	615	7	fr	fr	PROPN
cana-4144	615	8	y	y	PROPN
cana-4144	615	9	z	z	PROPN
cana-4144	615	10			NOUN
cana-4144	615	11	−	−	PROPN
cana-4144	615	12	ü	ü	NOUN
cana-4144	615	13	and	and	CCONJ
cana-4144	615	14	3	3	NUM
cana-4144	615	15	(	(	PUNCT
cana-4144	615	16	)	)	PUNCT
cana-4144	615	17	signed	sign	VERB
cana-4144	615	18	fr	fr	PROPN
cana-4144	615	19	z	z	PROPN
cana-4144	615	20	w	w	PROPN
cana-4144	615	21			NOUN
cana-4144	615	22	−	−	PROPN
cana-4144	615	23	ü	ü	PROPN
cana-4144	615	24	.	.	PUNCT
cana-4144	616	1	suppose	suppose	VERB
cana-4144	616	2	1	1	NUM
cana-4144	616	3	2	2	NUM
cana-4144	616	4	3	3	NUM
cana-4144	616	5	(	(	PUNCT
cana-4144	616	6	,	,	PUNCT
cana-4144	616	7	)	)	PUNCT
cana-4144	616	8	(	(	PUNCT
cana-4144	616	9	)	)	PUNCT
cana-4144	616	10	g	g	NOUN
cana-4144	616	11	i	i	PRON
cana-4144	617	1			PROPN
cana-4144	617	2			PROPN
cana-4144	617	3			NOUN
cana-4144	617	4			NOUN
cana-4144	617	5	ü	ü	NOUN
cana-4144	617	6	ü	ü	PROPN
cana-4144	617	7	ü	ü	NOUN
cana-4144	617	8	.	.	PUNCT
cana-4144	618	1	this	this	PRON
cana-4144	618	2	means	mean	VERB
cana-4144	618	3	there	there	PRON
cana-4144	618	4	exists	exist	VERB
cana-4144	618	5	a	a	DET
cana-4144	618	6	h	h	NOUN
cana-4144	618	7	y	y	NOUN
cana-4144	618	8	such	such	ADJ
cana-4144	618	9	that	that	SCONJ
cana-4144	618	10	1	1	NUM
cana-4144	618	11	(	(	PUNCT
cana-4144	618	12	,	,	PUNCT
cana-4144	618	13	)	)	PUNCT
cana-4144	618	14	g	g	PROPN
cana-4144	618	15	h	h	PROPN
cana-4144	618	16	ü	ü	PROPN
cana-4144	618	17	and	and	CCONJ
cana-4144	618	18	2	2	NUM
cana-4144	618	19	3	3	NUM
cana-4144	618	20	(	(	PUNCT
cana-4144	618	21	,	,	PUNCT
cana-4144	618	22	)	)	PUNCT
cana-4144	619	1	(	(	PUNCT
cana-4144	619	2	)	)	PUNCT
cana-4144	619	3	h	h	NOUN
cana-4144	620	1	i	i	PRON
cana-4144	620	2			PROPN
cana-4144	620	3			NOUN
cana-4144	620	4	ü	ü	PROPN
cana-4144	620	5	ü	ü	PROPN
cana-4144	620	6	.	.	PUNCT
cana-4144	621	1	similarly	similarly	ADV
cana-4144	621	2	,	,	PUNCT
cana-4144	621	3	if	if	SCONJ
cana-4144	621	4	i	i	PRON
cana-4144	621	5	z	z	VERB
cana-4144	621	6	such	such	ADJ
cana-4144	621	7	that	that	SCONJ
cana-4144	621	8	2	2	NUM
cana-4144	621	9	(	(	PUNCT
cana-4144	621	10	,	,	PUNCT
cana-4144	621	11	)	)	PUNCT
cana-4144	621	12	h	h	NOUN
cana-4144	622	1	i	i	PRON
cana-4144	622	2	ü	ü	PROPN
cana-4144	622	3	and	and	CCONJ
cana-4144	622	4	3	3	NUM
cana-4144	622	5	(	(	PUNCT
cana-4144	622	6	,	,	PUNCT
cana-4144	622	7	)	)	PUNCT
cana-4144	623	1	i	i	PRON
cana-4144	623	2	j	j	PROPN
cana-4144	623	3	ü	ü	PROPN
cana-4144	623	4	,	,	PUNCT
cana-4144	623	5	then	then	ADV
cana-4144	623	6	2	2	NUM
cana-4144	623	7	1	1	NUM
cana-4144	623	8	(	(	PUNCT
cana-4144	623	9	,	,	PUNCT
cana-4144	623	10	)	)	PUNCT
cana-4144	623	11	(	(	PUNCT
cana-4144	623	12	)	)	PUNCT
cana-4144	623	13	g	g	NOUN
cana-4144	624	1	i	i	PRON
cana-4144	624	2			PROPN
cana-4144	624	3			NOUN
cana-4144	624	4	ü	ü	PROPN
cana-4144	624	5	ü	ü	PROPN
cana-4144	624	6	.	.	PUNCT
cana-4144	625	1	similarly	similarly	ADV
cana-4144	625	2	3	3	NUM
cana-4144	625	3	2	2	NUM
cana-4144	625	4	1	1	NUM
cana-4144	625	5	(	(	PUNCT
cana-4144	625	6	,	,	PUNCT
cana-4144	625	7	)	)	PUNCT
cana-4144	625	8	(	(	PUNCT
cana-4144	625	9	)	)	PUNCT
cana-4144	625	10	g	g	PROPN
cana-4144	625	11	j	j	PROPN
cana-4144	625	12			PROPN
cana-4144	625	13			PROPN
cana-4144	625	14			NOUN
cana-4144	625	15			NOUN
cana-4144	625	16	ü	ü	NOUN
cana-4144	625	17	ü	ü	PROPN
cana-4144	625	18	ü	ü	NOUN
cana-4144	625	19	.	.	PUNCT
cana-4144	626	1	therefore	therefore	ADV
cana-4144	626	2	1	1	NUM
cana-4144	626	3	2	2	NUM
cana-4144	626	4	3	3	NUM
cana-4144	626	5	1	1	NUM
cana-4144	626	6	2	2	NUM
cana-4144	626	7	3	3	NUM
cana-4144	626	8	(	(	PUNCT
cana-4144	626	9	)	)	PUNCT
cana-4144	626	10	(	(	PUNCT
cana-4144	626	11	)	)	PUNCT
cana-4144	627	1			PROPN
cana-4144	627	2			PROPN
cana-4144	628	1			PROPN
cana-4144	628	2			PROPN
cana-4144	628	3			PROPN
cana-4144	628	4			ADJ
cana-4144	628	5			NOUN
cana-4144	628	6			PROPN
cana-4144	628	7			VERB
cana-4144	628	8	ü	ü	NOUN
cana-4144	628	9	ü	ü	NOUN
cana-4144	628	10	ü	ü	NOUN
cana-4144	628	11	ü	ü	NOUN
cana-4144	628	12	ü	ü	NOUN
cana-4144	628	13	ü	ü	NOUN
cana-4144	628	14	.	.	PUNCT
cana-4144	629	1	conversely	conversely	ADV
cana-4144	629	2	,	,	PUNCT
cana-4144	629	3	let	let	VERB
cana-4144	629	4	1	1	NUM
cana-4144	629	5	2	2	NUM
cana-4144	629	6	3	3	NUM
cana-4144	629	7	(	(	PUNCT
cana-4144	629	8	,	,	PUNCT
cana-4144	629	9	)	)	PUNCT
cana-4144	629	10	(	(	PUNCT
cana-4144	629	11	)	)	PUNCT
cana-4144	629	12	g	g	PROPN
cana-4144	629	13	j	j	PROPN
cana-4144	629	14			PROPN
cana-4144	629	15			PROPN
cana-4144	629	16			NOUN
cana-4144	629	17			NOUN
cana-4144	629	18	ü	ü	NOUN
cana-4144	629	19	ü	ü	PROPN
cana-4144	629	20	ü	ü	PROPN
cana-4144	629	21	.	.	PUNCT
cana-4144	630	1	this	this	PRON
cana-4144	630	2	implies	imply	VERB
cana-4144	630	3	that	that	SCONJ
cana-4144	630	4	there	there	PRON
cana-4144	630	5	exists	exist	VERB
cana-4144	630	6	a	a	DET
cana-4144	630	7	i	i	PROPN
cana-4144	630	8	z	z	PROPN
cana-4144	630	9	such	such	ADJ
cana-4144	630	10	that	that	SCONJ
cana-4144	630	11	2	2	NUM
cana-4144	630	12	3	3	NUM
cana-4144	630	13	(	(	PUNCT
cana-4144	630	14	,	,	PUNCT
cana-4144	630	15	)	)	PUNCT
cana-4144	630	16	(	(	PUNCT
cana-4144	630	17	)	)	PUNCT
cana-4144	630	18	g	g	NOUN
cana-4144	630	19	i	i	PRON
cana-4144	630	20			PROPN
cana-4144	630	21			NOUN
cana-4144	630	22	ü	ü	PROPN
cana-4144	630	23	ü	ü	PROPN
cana-4144	630	24	and	and	CCONJ
cana-4144	630	25	1	1	NUM
cana-4144	630	26	(	(	PUNCT
cana-4144	630	27	,	,	PUNCT
cana-4144	630	28	)	)	PUNCT
cana-4144	630	29	i	i	PRON
cana-4144	630	30	j	j	PROPN
cana-4144	630	31	ü	ü	PROPN
cana-4144	630	32	.	.	PUNCT
cana-4144	631	1	similarly	similarly	ADV
cana-4144	631	2	,	,	PUNCT
cana-4144	631	3	if	if	SCONJ
cana-4144	631	4	h	h	NOUN
cana-4144	631	5	y	y	VERB
cana-4144	631	6	such	such	ADJ
cana-4144	631	7	that	that	SCONJ
cana-4144	631	8	3	3	NUM
cana-4144	631	9	(	(	PUNCT
cana-4144	631	10	,	,	PUNCT
cana-4144	631	11	)	)	PUNCT
cana-4144	631	12	g	g	PROPN
cana-4144	631	13	h	h	PROPN
cana-4144	631	14	ü	ü	PROPN
cana-4144	631	15	and	and	CCONJ
cana-4144	631	16	2	2	NUM
cana-4144	631	17	(	(	PUNCT
cana-4144	631	18	,	,	PUNCT
cana-4144	631	19	)	)	PUNCT
cana-4144	631	20	h	h	NOUN
cana-4144	632	1	i	i	PRON
cana-4144	632	2	ü	ü	PROPN
cana-4144	632	3	,	,	PUNCT
cana-4144	632	4	then	then	ADV
cana-4144	632	5	1	1	NUM
cana-4144	632	6	2	2	NUM
cana-4144	632	7	(	(	PUNCT
cana-4144	632	8	,	,	PUNCT
cana-4144	632	9	)	)	PUNCT
cana-4144	632	10	h	h	PROPN
cana-4144	632	11	j	j	PROPN
cana-4144	632	12			PROPN
cana-4144	632	13			NOUN
cana-4144	632	14	ü	ü	PROPN
cana-4144	632	15	ü	ü	PROPN
cana-4144	632	16	.	.	PUNCT
cana-4144	633	1	consequently	consequently	ADV
cana-4144	633	2	,	,	PUNCT
cana-4144	633	3	1	1	NUM
cana-4144	633	4	2	2	NUM
cana-4144	633	5	3	3	NUM
cana-4144	633	6	(	(	PUNCT
cana-4144	633	7	,	,	PUNCT
cana-4144	633	8	)	)	PUNCT
cana-4144	633	9	(	(	PUNCT
cana-4144	633	10	)	)	PUNCT
cana-4144	633	11	g	g	PROPN
cana-4144	633	12	j	j	PROPN
cana-4144	633	13			PROPN
cana-4144	633	14			PROPN
cana-4144	633	15			NOUN
cana-4144	633	16			NOUN
cana-4144	633	17	ü	ü	NOUN
cana-4144	633	18	ü	ü	PROPN
cana-4144	633	19	ü	ü	NOUN
cana-4144	633	20	.	.	PUNCT
cana-4144	634	1	therefore	therefore	ADV
cana-4144	634	2	1	1	NUM
cana-4144	634	3	2	2	NUM
cana-4144	634	4	3	3	NUM
cana-4144	634	5	1	1	NUM
cana-4144	634	6	2	2	NUM
cana-4144	634	7	3	3	NUM
cana-4144	634	8	(	(	PUNCT
cana-4144	634	9	)	)	PUNCT
cana-4144	634	10	(	(	PUNCT
cana-4144	634	11	)	)	PUNCT
cana-4144	635	1			PROPN
cana-4144	635	2			PROPN
cana-4144	636	1			PROPN
cana-4144	636	2			PROPN
cana-4144	636	3			PROPN
cana-4144	636	4			ADJ
cana-4144	636	5			NOUN
cana-4144	636	6			PROPN
cana-4144	636	7			VERB
cana-4144	636	8	ü	ü	NOUN
cana-4144	636	9	ü	ü	NOUN
cana-4144	636	10	ü	ü	NOUN
cana-4144	636	11	ü	ü	NOUN
cana-4144	636	12	ü	ü	NOUN
cana-4144	636	13	ü	ü	PROPN
cana-4144	636	14	.	.	PUNCT
cana-4144	637	1	thus	thus	ADV
cana-4144	637	2	,	,	PUNCT
cana-4144	638	1	1	1	NUM
cana-4144	638	2	2	2	NUM
cana-4144	638	3	3	3	NUM
cana-4144	638	4	1	1	NUM
cana-4144	638	5	2	2	NUM
cana-4144	638	6	3	3	NUM
cana-4144	638	7	(	(	PUNCT
cana-4144	638	8	)	)	PUNCT
cana-4144	638	9	(	(	PUNCT
cana-4144	638	10	)	)	PUNCT
cana-4144	638	11			PROPN
cana-4144	638	12			PROPN
cana-4144	639	1			PROPN
cana-4144	639	2			PROPN
cana-4144	639	3			PROPN
cana-4144	639	4			ADJ
cana-4144	639	5			NOUN
cana-4144	639	6	=	=	SYM
cana-4144	639	7			NOUN
cana-4144	639	8	ü	ü	NOUN
cana-4144	640	1	ü	ü	NOUN
cana-4144	640	2	ü	ü	NOUN
cana-4144	640	3	ü	ü	NOUN
cana-4144	640	4	ü	ü	NOUN
cana-4144	640	5	ü	ü	NOUN
cana-4144	640	6	.	.	PUNCT
cana-4144	641	1	2	2	X
cana-4144	641	2	.	.	X
cana-4144	641	3	let	let	VERB
cana-4144	641	4	1	1	NUM
cana-4144	641	5	2	2	NUM
cana-4144	641	6	3	3	NUM
cana-4144	641	7	(	(	PUNCT
cana-4144	641	8	,	,	PUNCT
cana-4144	641	9	)	)	PUNCT
cana-4144	641	10	(	(	PUNCT
cana-4144	641	11	)	)	PUNCT
cana-4144	641	12	g	g	NOUN
cana-4144	641	13	h	h	NOUN
cana-4144	641	14			PROPN
cana-4144	641	15			PROPN
cana-4144	641	16			NOUN
cana-4144	641	17			NOUN
cana-4144	641	18	ü	ü	NOUN
cana-4144	642	1	ü	ü	PROPN
cana-4144	642	2	ü	ü	NOUN
cana-4144	642	3	,	,	PUNCT
cana-4144	642	4	then	then	ADV
cana-4144	642	5	there	there	PRON
cana-4144	642	6	exists	exist	VERB
cana-4144	642	7	a	a	DET
cana-4144	642	8	3h	3h	NUM
cana-4144	642	9	ü	ü	PROPN
cana-4144	643	1	such	such	ADJ
cana-4144	643	2	that	that	SCONJ
cana-4144	643	3	1	1	NUM
cana-4144	643	4	(	(	PUNCT
cana-4144	643	5	,	,	PUNCT
cana-4144	643	6	)	)	PUNCT
cana-4144	643	7	g	g	PROPN
cana-4144	643	8	h	h	PROPN
cana-4144	643	9	ü	ü	PROPN
cana-4144	643	10	and	and	CCONJ
cana-4144	643	11	2	2	NUM
cana-4144	643	12	3	3	NUM
cana-4144	643	13	(	(	PUNCT
cana-4144	643	14	,	,	PUNCT
cana-4144	643	15	)	)	PUNCT
cana-4144	643	16	(	(	PUNCT
cana-4144	643	17	)	)	PUNCT
cana-4144	643	18	h	h	NOUN
cana-4144	644	1	i	i	PRON
cana-4144	644	2			PROPN
cana-4144	644	3			NOUN
cana-4144	644	4	ü	ü	PROPN
cana-4144	644	5	ü	ü	NOUN
cana-4144	644	6	.	.	PUNCT
cana-4144	645	1	since	since	SCONJ
cana-4144	645	2	2	2	NUM
cana-4144	645	3	3	3	NUM
cana-4144	645	4	(	(	PUNCT
cana-4144	645	5	,	,	PUNCT
cana-4144	645	6	)	)	PUNCT
cana-4144	645	7	h	h	NOUN
cana-4144	646	1	i	i	PRON
cana-4144	646	2			PROPN
cana-4144	646	3			NOUN
cana-4144	646	4	ü	ü	PROPN
cana-4144	646	5	ü	ü	PROPN
cana-4144	647	1	it	it	PRON
cana-4144	647	2	is	be	AUX
cana-4144	647	3	a	a	DET
cana-4144	647	4	member	member	NOUN
cana-4144	647	5	of	of	ADP
cana-4144	647	6	either	either	DET
cana-4144	647	7	2ü	2ü	NOUN
cana-4144	647	8	or	or	CCONJ
cana-4144	647	9	3ü	3ü	NOUN
cana-4144	647	10	.	.	PUNCT
cana-4144	648	1	if	if	SCONJ
cana-4144	648	2	3	3	NUM
cana-4144	648	3	(	(	PUNCT
cana-4144	648	4	,	,	PUNCT
cana-4144	648	5	)	)	PUNCT
cana-4144	648	6	h	h	NOUN
cana-4144	649	1	i	i	PRON
cana-4144	649	2	ü	ü	PROPN
cana-4144	649	3	,	,	PUNCT
cana-4144	649	4	then	then	ADV
cana-4144	649	5	1	1	NUM
cana-4144	649	6	3	3	NUM
cana-4144	649	7	(	(	PUNCT
cana-4144	649	8	,	,	PUNCT
cana-4144	649	9	)	)	PUNCT
cana-4144	649	10	g	g	NOUN
cana-4144	649	11	i	i	PRON
cana-4144	649	12			PROPN
cana-4144	649	13			NOUN
cana-4144	649	14	ü	ü	PROPN
cana-4144	649	15	ü	ü	NOUN
cana-4144	649	16	.	.	PUNCT
cana-4144	650	1	if	if	SCONJ
cana-4144	650	2	3	3	NUM
cana-4144	650	3	(	(	PUNCT
cana-4144	650	4	,	,	PUNCT
cana-4144	650	5	)	)	PUNCT
cana-4144	650	6	h	h	NOUN
cana-4144	651	1	i	i	PRON
cana-4144	651	2	ü	ü	PROPN
cana-4144	651	3	,	,	PUNCT
cana-4144	651	4	then	then	ADV
cana-4144	651	5	1	1	NUM
cana-4144	651	6	3	3	NUM
cana-4144	651	7	(	(	PUNCT
cana-4144	651	8	,	,	PUNCT
cana-4144	651	9	)	)	PUNCT
cana-4144	651	10	g	g	NOUN
cana-4144	651	11	i	i	PRON
cana-4144	651	12			PROPN
cana-4144	651	13			NOUN
cana-4144	651	14	ü	ü	PROPN
cana-4144	651	15	ü	ü	PROPN
cana-4144	651	16	.	.	PUNCT
cana-4144	652	1	which	which	PRON
cana-4144	652	2	implies	imply	VERB
cana-4144	652	3	1	1	NUM
cana-4144	652	4	2	2	NUM
cana-4144	652	5	1	1	NUM
cana-4144	652	6	3	3	NUM
cana-4144	652	7	(	(	PUNCT
cana-4144	652	8	,	,	PUNCT
cana-4144	652	9	)	)	PUNCT
cana-4144	652	10	(	(	PUNCT
cana-4144	652	11	)	)	PUNCT
cana-4144	652	12	(	(	PUNCT
cana-4144	652	13	)	)	PUNCT
cana-4144	652	14	g	g	NOUN
cana-4144	652	15	i	i	PRON
cana-4144	653	1			PROPN
cana-4144	653	2			PROPN
cana-4144	654	1			PROPN
cana-4144	654	2			NOUN
cana-4144	654	3			NOUN
cana-4144	654	4			NOUN
cana-4144	654	5	ü	ü	PROPN
cana-4144	654	6	ü	ü	NOUN
cana-4144	654	7	ü	ü	NOUN
cana-4144	654	8	ü	ü	NOUN
cana-4144	654	9	.	.	PUNCT
cana-4144	655	1	conversely	conversely	ADV
cana-4144	655	2	,	,	PUNCT
cana-4144	655	3	suppose	suppose	VERB
cana-4144	655	4	1	1	NUM
cana-4144	655	5	2	2	NUM
cana-4144	655	6	1	1	NUM
cana-4144	655	7	3	3	NUM
cana-4144	655	8	(	(	PUNCT
cana-4144	655	9	,	,	PUNCT
cana-4144	655	10	)	)	PUNCT
cana-4144	655	11	(	(	PUNCT
cana-4144	655	12	)	)	PUNCT
cana-4144	655	13	(	(	PUNCT
cana-4144	655	14	)	)	PUNCT
cana-4144	655	15	g	g	NOUN
cana-4144	656	1	i	i	PRON
cana-4144	656	2			PROPN
cana-4144	657	1			PROPN
cana-4144	657	2			PROPN
cana-4144	657	3			NOUN
cana-4144	657	4			NOUN
cana-4144	657	5			NOUN
cana-4144	657	6	ü	ü	PROPN
cana-4144	657	7	ü	ü	NOUN
cana-4144	657	8	ü	ü	NOUN
cana-4144	657	9	ü	ü	NOUN
cana-4144	657	10	.	.	PUNCT
cana-4144	658	1	this	this	PRON
cana-4144	658	2	implies	imply	VERB
cana-4144	658	3	that	that	SCONJ
cana-4144	658	4	1	1	NUM
cana-4144	658	5	2	2	NUM
cana-4144	658	6	(	(	PUNCT
cana-4144	658	7	,	,	PUNCT
cana-4144	658	8	)	)	PUNCT
cana-4144	658	9	g	g	NOUN
cana-4144	659	1	i	i	PRON
cana-4144	659	2			PROPN
cana-4144	659	3			NOUN
cana-4144	659	4	ü	ü	NOUN
cana-4144	659	5	ü	ü	NOUN
cana-4144	659	6	or	or	CCONJ
cana-4144	659	7	1	1	NUM
cana-4144	659	8	3	3	NUM
cana-4144	659	9	(	(	PUNCT
cana-4144	659	10	,	,	PUNCT
cana-4144	659	11	)	)	PUNCT
cana-4144	659	12	g	g	NOUN
cana-4144	659	13	i	i	PRON
cana-4144	659	14			PROPN
cana-4144	659	15			NOUN
cana-4144	659	16	ü	ü	PROPN
cana-4144	659	17	ü	ü	PROPN
cana-4144	659	18	,	,	PUNCT
cana-4144	659	19	which	which	PRON
cana-4144	659	20	in	in	ADP
cana-4144	659	21	turn	turn	NOUN
cana-4144	659	22	means	mean	VERB
cana-4144	659	23	there	there	PRON
cana-4144	659	24	exists	exist	VERB
cana-4144	659	25	a	a	DET
cana-4144	659	26	3h	3h	NUM
cana-4144	659	27	ü	ü	PROPN
cana-4144	659	28	such	such	ADJ
cana-4144	659	29	that	that	SCONJ
cana-4144	659	30	1	1	NUM
cana-4144	659	31	(	(	PUNCT
cana-4144	659	32	,	,	PUNCT
cana-4144	659	33	)	)	PUNCT
cana-4144	659	34	g	g	PROPN
cana-4144	659	35	h	h	PROPN
cana-4144	659	36	ü	ü	PROPN
cana-4144	659	37	and	and	CCONJ
cana-4144	659	38	2	2	NUM
cana-4144	659	39	(	(	PUNCT
cana-4144	659	40	,	,	PUNCT
cana-4144	659	41	)	)	PUNCT
cana-4144	659	42	h	h	NOUN
cana-4144	660	1	i	i	PRON
cana-4144	660	2	ü	ü	PROPN
cana-4144	660	3	or	or	CCONJ
cana-4144	660	4	3ü	3ü	NOUN
cana-4144	660	5	.	.	PUNCT
cana-4144	661	1	therefore	therefore	ADV
cana-4144	661	2	,	,	PUNCT
cana-4144	661	3	1	1	NUM
cana-4144	661	4	2	2	NUM
cana-4144	661	5	3	3	NUM
cana-4144	661	6	(	(	PUNCT
cana-4144	661	7	,	,	PUNCT
cana-4144	661	8	)	)	PUNCT
cana-4144	661	9	(	(	PUNCT
cana-4144	661	10	)	)	PUNCT
cana-4144	661	11	g	g	NOUN
cana-4144	662	1	i	i	PRON
cana-4144	662	2			PROPN
cana-4144	662	3			PROPN
cana-4144	662	4			NOUN
cana-4144	662	5			NOUN
cana-4144	662	6	ü	ü	PROPN
cana-4144	662	7	ü	ü	PROPN
cana-4144	662	8	ü	ü	NOUN
cana-4144	662	9	.	.	PUNCT
cana-4144	663	1	hence	hence	ADV
cana-4144	663	2	1	1	NUM
cana-4144	663	3	2	2	NUM
cana-4144	663	4	3	3	NUM
cana-4144	663	5	1	1	NUM
cana-4144	663	6	2	2	NUM
cana-4144	663	7	1	1	NUM
cana-4144	663	8	3	3	NUM
cana-4144	663	9	(	(	PUNCT
cana-4144	663	10	)	)	PUNCT
cana-4144	663	11	(	(	PUNCT
cana-4144	663	12	)	)	PUNCT
cana-4144	663	13	(	(	PUNCT
cana-4144	663	14	)	)	PUNCT
cana-4144	664	1			PROPN
cana-4144	664	2			PROPN
cana-4144	665	1			PROPN
cana-4144	666	1			PROPN
cana-4144	667	1			PROPN
cana-4144	667	2			PROPN
cana-4144	667	3			PROPN
cana-4144	667	4			NOUN
cana-4144	667	5	=	=	SYM
cana-4144	667	6			PROPN
cana-4144	667	7			NOUN
cana-4144	667	8	ü	ü	PROPN
cana-4144	668	1	ü	ü	NOUN
cana-4144	668	2	ü	ü	NOUN
cana-4144	668	3	ü	ü	NOUN
cana-4144	668	4	ü	ü	NOUN
cana-4144	668	5	ü	ü	NOUN
cana-4144	668	6	ü	ü	NOUN
cana-4144	668	7	.	.	PUNCT
cana-4144	669	1	3	3	X
cana-4144	669	2	.	.	X
cana-4144	669	3	let	let	VERB
cana-4144	669	4	2	2	NUM
cana-4144	669	5	3	3	NUM
cana-4144	669	6	,	,	PUNCT
cana-4144	669	7	(	(	PUNCT
cana-4144	669	8	)	)	PUNCT
cana-4144	669	9	signed	sign	VERB
cana-4144	670	1	fr	fr	NOUN
cana-4144	670	2	x	x	PROPN
cana-4144	670	3	y	y	PROPN
cana-4144	671	1			PROPN
cana-4144	671	2			NOUN
cana-4144	671	3	−	−	PROPN
cana-4144	671	4	ü	ü	PROPN
cana-4144	671	5	ü	ü	PROPN
cana-4144	671	6	and	and	CCONJ
cana-4144	671	7	1	1	NUM
cana-4144	671	8	(	(	PUNCT
cana-4144	671	9	)	)	PUNCT
cana-4144	671	10	signed	sign	VERB
cana-4144	671	11	fr	fr	PROPN
cana-4144	671	12	y	y	PROPN
cana-4144	671	13	z	z	PROPN
cana-4144	671	14			NOUN
cana-4144	671	15	−	−	ADP
cana-4144	671	16	ü	ü	VERB
cana-4144	671	17	,	,	PUNCT
cana-4144	671	18	with	with	ADP
cana-4144	671	19	the	the	DET
cana-4144	671	20	assumption	assumption	NOUN
cana-4144	671	21	that	that	SCONJ
cana-4144	671	22	2	2	NUM
cana-4144	671	23	3	3	NUM
cana-4144	671	24	ü	ü	PUNCT
cana-4144	671	25	ü	ü	PROPN
cana-4144	671	26	and	and	CCONJ
cana-4144	671	27	(	(	PUNCT
cana-4144	671	28	,	,	PUNCT
cana-4144	671	29	)	)	PUNCT
cana-4144	671	30	g	g	NOUN
cana-4144	672	1	i	i	PROPN
cana-4144	672	2	x	x	PROPN
cana-4144	672	3	z	z	PROPN
cana-4144	672	4			NOUN
cana-4144	672	5	,	,	PUNCT
cana-4144	672	6	then	then	ADV
cana-4144	672	7			VERB
cana-4144	672	8	1	1	NOUN
cana-4144	672	9	2	2	NUM
cana-4144	672	10	1	1	NUM
cana-4144	672	11	2	2	NUM
cana-4144	672	12	(	(	PUNCT
cana-4144	672	13	)	)	PUNCT
cana-4144	672	14	(	(	PUNCT
cana-4144	672	15	,	,	PUNCT
cana-4144	672	16	)	)	PUNCT
cana-4144	672	17	(	(	PUNCT
cana-4144	672	18	,	,	PUNCT
cana-4144	672	19	)	)	PUNCT
cana-4144	672	20	(	(	PUNCT
cana-4144	672	21	,	,	PUNCT
cana-4144	672	22	)	)	PUNCT
cana-4144	672	23	h	h	NOUN
cana-4144	673	1	y	y	NOUN
cana-4144	673	2	g	g	PROPN
cana-4144	674	1	i	i	PRON
cana-4144	674	2	g	g	PROPN
cana-4144	675	1	h	h	NOUN
cana-4144	675	2	h	h	NOUN
cana-4144	675	3	i	i	PROPN
cana-4144	676	1			PROPN
cana-4144	676	2			PROPN
cana-4144	676	3			PROPN
cana-4144	676	4			NOUN
cana-4144	676	5			NOUN
cana-4144	676	6	=	=	SYM
cana-4144	676	7	ü	ü	PROPN
cana-4144	676	8	ü	ü	NOUN
cana-4144	676	9	ü	ü	NOUN
cana-4144	676	10	ü	ü	PROPN
cana-4144	676	11			ADJ
cana-4144	676	12	3	3	NOUN
cana-4144	676	13	2	2	NUM
cana-4144	676	14	1	1	NUM
cana-4144	676	15	3	3	NUM
cana-4144	676	16	(	(	PUNCT
cana-4144	676	17	,	,	PUNCT
cana-4144	676	18	)	)	PUNCT
cana-4144	676	19	(	(	PUNCT
cana-4144	676	20	,	,	PUNCT
cana-4144	676	21	)	)	PUNCT
cana-4144	676	22	h	h	NOUN
cana-4144	677	1	y	y	PROPN
cana-4144	677	2	g	g	PROPN
cana-4144	677	3	h	h	NOUN
cana-4144	677	4	h	h	NOUN
cana-4144	677	5	i	i	PROPN
cana-4144	678	1			PROPN
cana-4144	678	2			PROPN
cana-4144	678	3			PROPN
cana-4144	678	4			NOUN
cana-4144	678	5			NUM
cana-4144	678	6			PROPN
cana-4144	678	7	=	=	PUNCT
cana-4144	678	8			NOUN
cana-4144	678	9	ü	ü	NOUN
cana-4144	678	10	ü	ü	NOUN
cana-4144	678	11	ü	ü	NOUN
cana-4144	678	12	ü	ü	PROPN
cana-4144	678	13	.	.	PUNCT
cana-4144	679	1	therefore	therefore	ADV
cana-4144	679	2	,	,	PUNCT
cana-4144	679	3	1	1	NUM
cana-4144	679	4	2	2	NUM
cana-4144	679	5	1	1	NUM
cana-4144	679	6	3	3	NUM
cana-4144	679	7			PROPN
cana-4144	679	8			PROPN
cana-4144	679	9			ADJ
cana-4144	679	10			PROPN
cana-4144	679	11	ü	ü	NOUN
cana-4144	679	12	ü	ü	NOUN
cana-4144	679	13	ü	ü	NOUN
cana-4144	679	14	ü	ü	NOUN
cana-4144	679	15	.	.	PUNCT
cana-4144	680	1	4	4	X
cana-4144	680	2	.	.	X
cana-4144	680	3	let	let	VERB
cana-4144	680	4	1	1	NUM
cana-4144	680	5	(	(	PUNCT
cana-4144	680	6	)	)	PUNCT
cana-4144	680	7	signed	sign	VERB
cana-4144	680	8	fr	fr	NOUN
cana-4144	680	9	x	x	PROPN
cana-4144	680	10	y	y	PROPN
cana-4144	680	11			NOUN
cana-4144	680	12	−	−	PROPN
cana-4144	680	13	ü	ü	NOUN
cana-4144	680	14	and	and	CCONJ
cana-4144	680	15	2	2	NUM
cana-4144	680	16	(	(	PUNCT
cana-4144	680	17	)	)	PUNCT
cana-4144	680	18	signed	sign	VERB
cana-4144	680	19	fr	fr	PROPN
cana-4144	680	20	y	y	PROPN
cana-4144	680	21	z	z	PROPN
cana-4144	681	1			NOUN
cana-4144	681	2	−	−	ADP
cana-4144	681	3	ü	ü	VERB
cana-4144	681	4	,	,	PUNCT
cana-4144	681	5	with	with	ADP
cana-4144	681	6	(	(	PUNCT
cana-4144	681	7	,	,	PUNCT
cana-4144	681	8	)	)	PUNCT
cana-4144	681	9	g	g	NOUN
cana-4144	681	10	i	i	PROPN
cana-4144	681	11	x	x	PROPN
cana-4144	681	12	z	z	PROPN
cana-4144	681	13			PROPN
cana-4144	681	14	.	.	PUNCT
cana-4144	682	1	then	then	ADV
cana-4144	682	2	1	1	NUM
cana-4144	682	3	1	1	NUM
cana-4144	682	4	1	1	NUM
cana-4144	682	5	2	2	NUM
cana-4144	682	6	1	1	NUM
cana-4144	682	7	1	1	NUM
cana-4144	682	8	2	2	NUM
cana-4144	682	9	[	[	X
cana-4144	682	10	(	(	PUNCT
cana-4144	682	11	)	)	PUNCT
cana-4144	682	12	]	]	PUNCT
cana-4144	682	13	(	(	PUNCT
cana-4144	682	14	,	,	PUNCT
cana-4144	682	15	)	)	PUNCT
cana-4144	682	16	(	(	PUNCT
cana-4144	682	17	)	)	PUNCT
cana-4144	682	18	(	(	PUNCT
cana-4144	682	19	,	,	PUNCT
cana-4144	682	20	)	)	PUNCT
cana-4144	682	21	i	i	PRON
cana-4144	682	22	g	g	PROPN
cana-4144	682	23	g	g	PROPN
cana-4144	682	24	i−	i−	PROPN
cana-4144	682	25	−	−	PROPN
cana-4144	682	26	−	−	PROPN
cana-4144	683	1			PROPN
cana-4144	683	2			PROPN
cana-4144	683	3			PROPN
cana-4144	683	4			NOUN
cana-4144	683	5	=	=	PUNCT
cana-4144	683	6	ü	ü	NOUN
cana-4144	683	7	ü	ü	NOUN
cana-4144	683	8	ü	ü	NOUN
cana-4144	683	9	ü	ü	NOUN
cana-4144	683	10	.	.	PUNCT
cana-4144	684	1	communications	communication	NOUN
cana-4144	684	2	on	on	ADP
cana-4144	684	3	applied	apply	VERB
cana-4144	684	4	nonlinear	nonlinear	ADJ
cana-4144	684	5	analysis	analysis	NOUN
cana-4144	684	6	issn	issn	NOUN
cana-4144	684	7	:	:	PUNCT
cana-4144	684	8	1074	1074	NUM
cana-4144	684	9	-	-	PUNCT
cana-4144	684	10	133x	133x	NUM
cana-4144	684	11	vol	vol	NOUN
cana-4144	684	12	x	x	NOUN
cana-4144	684	13	no	no	INTJ
cana-4144	684	14	.	.	PUNCT
cana-4144	685	1	y	y	PROPN
cana-4144	685	2	(	(	PUNCT
cana-4144	685	3	2025	2025	NUM
cana-4144	685	4	)	)	PUNCT
cana-4144	685	5	1341	1341	NUM
cana-4144	685	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	685	7	4	4	X
cana-4144	685	8	.	.	NUM
cana-4144	685	9	signed	sign	VERB
cana-4144	685	10	fuzzy	fuzzy	ADJ
cana-4144	685	11	equivalence	equivalence	NOUN
cana-4144	685	12	relation	relation	NOUN
cana-4144	685	13	this	this	DET
cana-4144	685	14	section	section	NOUN
cana-4144	685	15	includes	include	VERB
cana-4144	685	16	instances	instance	NOUN
cana-4144	685	17	and	and	CCONJ
cana-4144	685	18	definitions	definition	NOUN
cana-4144	685	19	of	of	ADP
cana-4144	685	20	transitive	transitive	ADJ
cana-4144	685	21	,	,	PUNCT
cana-4144	685	22	symmetric	symmetric	ADJ
cana-4144	685	23	,	,	PUNCT
cana-4144	685	24	antisymmetric	antisymmetric	ADJ
cana-4144	685	25	,	,	PUNCT
cana-4144	685	26	reflexive	reflexive	ADJ
cana-4144	685	27	,	,	PUNCT
cana-4144	685	28	and	and	CCONJ
cana-4144	685	29	antireflexive	antireflexive	ADJ
cana-4144	685	30	qualities	quality	NOUN
cana-4144	685	31	.	.	PUNCT
cana-4144	686	1	the	the	DET
cana-4144	686	2	definition	definition	NOUN
cana-4144	686	3	of	of	ADP
cana-4144	686	4	equivalency	equivalency	NOUN
cana-4144	686	5	relations	relation	NOUN
cana-4144	686	6	is	be	AUX
cana-4144	686	7	also	also	ADV
cana-4144	686	8	provided	provide	VERB
cana-4144	686	9	,	,	PUNCT
cana-4144	686	10	along	along	ADP
cana-4144	686	11	with	with	ADP
cana-4144	686	12	the	the	DET
cana-4144	686	13	findings	finding	NOUN
cana-4144	686	14	.	.	PUNCT
cana-4144	687	1	additionally	additionally	ADV
cana-4144	687	2	,	,	PUNCT
cana-4144	687	3	examples	example	NOUN
cana-4144	687	4	are	be	AUX
cana-4144	687	5	used	use	VERB
cana-4144	687	6	to	to	PART
cana-4144	687	7	clarify	clarify	VERB
cana-4144	687	8	the	the	DET
cana-4144	687	9	definitions	definition	NOUN
cana-4144	687	10	of	of	ADP
cana-4144	687	11			NOUN
cana-4144	687	12	−	−	PRON
cana-4144	687	13	cut	cut	NOUN
cana-4144	687	14	and	and	CCONJ
cana-4144	687	15	strong	strong	ADJ
cana-4144	687	16			NOUN
cana-4144	687	17	−	−	PROPN
cana-4144	687	18	cut	cut	NOUN
cana-4144	687	19	of	of	ADP
cana-4144	687	20	signed	sign	VERB
cana-4144	687	21	fuzzy	fuzzy	ADJ
cana-4144	687	22	sets	set	NOUN
cana-4144	687	23	,	,	PUNCT
cana-4144	687	24	along	along	ADP
cana-4144	687	25	with	with	ADP
cana-4144	687	26	the	the	DET
cana-4144	687	27	results	result	NOUN
cana-4144	687	28	.	.	PUNCT
cana-4144	688	1	definition	definition	NOUN
cana-4144	688	2	4.1	4.1	NUM
cana-4144	688	3	a	a	DET
cana-4144	688	4	signed	sign	VERB
cana-4144	688	5	-	-	PUNCT
cana-4144	688	6	fr	fr	NOUN
cana-4144	688	7	ü	ü	NOUN
cana-4144	688	8	in	in	ADP
cana-4144	688	9	x	x	PROPN
cana-4144	688	10	x	x	NOUN
cana-4144	688	11	is	be	AUX
cana-4144	688	12	reflexive	reflexive	ADJ
cana-4144	688	13	if	if	SCONJ
cana-4144	688	14	and	and	CCONJ
cana-4144	688	15	only	only	ADV
cana-4144	688	16	if	if	SCONJ
cana-4144	688	17	(	(	PUNCT
cana-4144	688	18	,	,	PUNCT
cana-4144	688	19	)	)	PUNCT
cana-4144	688	20	1,g	1,g	PROPN
cana-4144	688	21	g	g	NOUN
cana-4144	688	22	g	g	PROPN
cana-4144	688	23	x	x	PROPN
cana-4144	688	24	=	=	PUNCT
cana-4144	689	1			VERB
cana-4144	689	2			NOUN
cana-4144	689	3	.	.	PUNCT
cana-4144	690	1	definition	definition	NOUN
cana-4144	690	2	4.2	4.2	NUM
cana-4144	690	3	if	if	SCONJ
cana-4144	690	4	ü	ü	NOUN
cana-4144	690	5	in	in	ADP
cana-4144	690	6	x	x	PROPN
cana-4144	690	7	x	x	NOUN
cana-4144	690	8	is	be	AUX
cana-4144	690	9	a	a	DET
cana-4144	690	10	signed	sign	VERB
cana-4144	690	11	-	-	PUNCT
cana-4144	690	12	fr	fr	NOUN
cana-4144	690	13	,	,	PUNCT
cana-4144	690	14	then	then	ADV
cana-4144	690	15	ü	ü	PROPN
cana-4144	690	16	is	be	AUX
cana-4144	690	17	antireflexive	antireflexive	ADJ
cana-4144	690	18	if	if	SCONJ
cana-4144	691	1	and	and	CCONJ
cana-4144	691	2	only	only	ADV
cana-4144	691	3	if	if	SCONJ
cana-4144	691	4	(	(	PUNCT
cana-4144	691	5	,	,	PUNCT
cana-4144	691	6	)	)	PUNCT
cana-4144	691	7	0,g	0,g	PROPN
cana-4144	692	1	g	g	PROPN
cana-4144	692	2	g	g	PROPN
cana-4144	692	3	x	x	PROPN
cana-4144	693	1			PROPN
cana-4144	693	2	=	=	PUNCT
cana-4144	693	3			NOUN
cana-4144	693	4	ü	ü	NOUN
cana-4144	693	5	.	.	PUNCT
cana-4144	694	1	theorem	theorem	VERB
cana-4144	694	2	4.1	4.1	NUM
cana-4144	694	3	.	.	PUNCT
cana-4144	695	1	let	let	VERB
cana-4144	695	2	1	1	NUM
cana-4144	695	3	(	(	PUNCT
cana-4144	695	4	)	)	PUNCT
cana-4144	695	5	signed	sign	VERB
cana-4144	695	6	fr	fr	NOUN
cana-4144	695	7	x	x	PART
cana-4144	695	8	x	x	ADJ
cana-4144	695	9			NOUN
cana-4144	695	10	−	−	PROPN
cana-4144	695	11	ü	ü	VERB
cana-4144	695	12	1	1	NUM
cana-4144	695	13	.	.	PUNCT
cana-4144	695	14	1ü	1ü	PROPN
cana-4144	695	15	is	be	AUX
cana-4144	695	16	reflexive	reflexive	ADJ
cana-4144	695	17	if	if	SCONJ
cana-4144	695	18	and	and	CCONJ
cana-4144	695	19	only	only	ADV
cana-4144	695	20	if	if	SCONJ
cana-4144	695	21	1	1	NUM
cana-4144	695	22	1	1	NUM
cana-4144	695	23	−	−	NOUN
cana-4144	695	24	ü	ü	PRON
cana-4144	695	25	is	be	AUX
cana-4144	695	26	reflexive	reflexive	ADJ
cana-4144	695	27	.	.	PUNCT
cana-4144	696	1	2	2	X
cana-4144	696	2	.	.	X
cana-4144	696	3	if	if	SCONJ
cana-4144	696	4	1ü	1ü	PROPN
cana-4144	696	5	is	be	AUX
cana-4144	696	6	reflexive	reflexive	ADJ
cana-4144	696	7	,	,	PUNCT
cana-4144	696	8	then	then	ADV
cana-4144	696	9	1	1	NUM
cana-4144	696	10	2	2	NUM
cana-4144	696	11	ü	ü	NOUN
cana-4144	696	12	ü	ü	PROPN
cana-4144	696	13	is	be	AUX
cana-4144	696	14	reflexive	reflexive	ADJ
cana-4144	696	15	for	for	ADP
cana-4144	696	16	each	each	DET
cana-4144	696	17	2ü	2ü	NOUN
cana-4144	696	18	in	in	ADP
cana-4144	696	19	$	$	SYM
cana-4144	696	20	signed	sign	VERB
cana-4144	696	21	-	-	PUNCT
cana-4144	696	22	fr(x\times	fr(x\time	NOUN
cana-4144	696	23	x)$.	x)$.	NOUN
cana-4144	697	1	3	3	X
cana-4144	697	2	.	.	X
cana-4144	698	1	if	if	SCONJ
cana-4144	698	2	1ü	1ü	PROPN
cana-4144	698	3	is	be	AUX
cana-4144	698	4	reflexive	reflexive	ADJ
cana-4144	698	5	,	,	PUNCT
cana-4144	698	6	then	then	ADV
cana-4144	698	7	1	1	NUM
cana-4144	698	8	2	2	NUM
cana-4144	698	9	ü	ü	NOUN
cana-4144	698	10	ü	ü	PROPN
cana-4144	698	11	is	be	AUX
cana-4144	698	12	reflexive	reflexive	ADJ
cana-4144	698	13	for	for	ADP
cana-4144	698	14	each	each	DET
cana-4144	698	15	2ü	2ü	NOUN
cana-4144	698	16	in	in	ADP
cana-4144	698	17	(	(	PUNCT
cana-4144	698	18	)	)	PUNCT
cana-4144	698	19	signed	sign	VERB
cana-4144	698	20	fr	fr	NOUN
cana-4144	698	21	x	x	PROPN
cana-4144	698	22	x−	x−	PROPN
cana-4144	698	23			PROPN
cana-4144	698	24	.	.	PUNCT
cana-4144	699	1	proof	proof	NOUN
cana-4144	699	2	.	.	PUNCT
cana-4144	700	1	1	1	X
cana-4144	700	2	.	.	X
cana-4144	700	3	assume	assume	VERB
cana-4144	700	4	1ü	1ü	PROPN
cana-4144	700	5	is	be	AUX
cana-4144	700	6	reflexive	reflexive	ADJ
cana-4144	700	7	.	.	PUNCT
cana-4144	701	1	this	this	PRON
cana-4144	701	2	means	mean	VERB
cana-4144	701	3	that	that	SCONJ
cana-4144	701	4	1	1	NUM
cana-4144	701	5	(	(	PUNCT
cana-4144	701	6	,	,	PUNCT
cana-4144	701	7	)	)	PUNCT
cana-4144	701	8	1	1	NUM
cana-4144	701	9	g	g	NOUN
cana-4144	701	10	g	g	NOUN
cana-4144	701	11			PROPN
cana-4144	701	12	=	=	PROPN
cana-4144	701	13	ü	ü	PROPN
cana-4144	701	14	for	for	ADP
cana-4144	701	15	all	all	PRON
cana-4144	701	16	g	g	PROPN
cana-4144	701	17	x	x	PROPN
cana-4144	701	18	.	.	PUNCT
cana-4144	702	1	we	we	PRON
cana-4144	702	2	need	need	VERB
cana-4144	702	3	to	to	PART
cana-4144	702	4	show	show	VERB
cana-4144	702	5	that	that	SCONJ
cana-4144	702	6	1	1	NUM
cana-4144	702	7	1	1	NUM
cana-4144	702	8	−	−	NOUN
cana-4144	702	9	ü	ü	PRON
cana-4144	702	10	is	be	AUX
cana-4144	702	11	reflexive	reflexive	ADJ
cana-4144	702	12	.	.	PUNCT
cana-4144	703	1	for	for	SCONJ
cana-4144	703	2	1	1	NUM
cana-4144	703	3	1	1	NUM
cana-4144	703	4	−	−	NOUN
cana-4144	703	5	ü	ü	VERB
cana-4144	703	6	to	to	PART
cana-4144	703	7	be	be	AUX
cana-4144	703	8	reflexive	reflexive	ADJ
cana-4144	703	9	.	.	PUNCT
cana-4144	704	1	we	we	PRON
cana-4144	704	2	require	require	VERB
cana-4144	704	3	1	1	NUM
cana-4144	704	4	1	1	NUM
cana-4144	704	5	(	(	PUNCT
cana-4144	704	6	,	,	PUNCT
cana-4144	704	7	)	)	PUNCT
cana-4144	704	8	1	1	NUM
cana-4144	704	9	g	g	NOUN
cana-4144	704	10	g	g	NOUN
cana-4144	704	11	−	−	PROPN
cana-4144	705	1			PROPN
cana-4144	705	2	=	=	PUNCT
cana-4144	705	3	ü	ü	PROPN
cana-4144	705	4	for	for	ADP
cana-4144	705	5	all	all	PRON
cana-4144	705	6	g	g	PROPN
cana-4144	705	7	x	x	PROPN
cana-4144	705	8	.	.	PUNCT
cana-4144	706	1	by	by	ADP
cana-4144	706	2	the	the	DET
cana-4144	706	3	definition	definition	NOUN
cana-4144	706	4	of	of	ADP
cana-4144	706	5	the	the	DET
cana-4144	706	6	inverse	inverse	NOUN
cana-4144	706	7	signed	sign	VERB
cana-4144	706	8	-	-	PUNCT
cana-4144	706	9	fr	fr	NOUN
cana-4144	706	10	,	,	PUNCT
cana-4144	706	11	1	1	NUM
cana-4144	706	12	11	11	NUM
cana-4144	706	13	(	(	PUNCT
cana-4144	706	14	,	,	PUNCT
cana-4144	706	15	)	)	PUNCT
cana-4144	706	16	(	(	PUNCT
cana-4144	706	17	,	,	PUNCT
cana-4144	706	18	)	)	PUNCT
cana-4144	706	19	g	g	NOUN
cana-4144	706	20	g	g	PROPN
cana-4144	706	21	g	g	PROPN
cana-4144	706	22	g	g	PROPN
cana-4144	706	23	−	−	NOUN
cana-4144	706	24			NOUN
cana-4144	706	25	=	=	SYM
cana-4144	706	26	üü	üü	PROPN
cana-4144	706	27	.	.	PUNCT
cana-4144	707	1	since	since	SCONJ
cana-4144	707	2	1	1	NUM
cana-4144	707	3	(	(	PUNCT
cana-4144	707	4	,	,	PUNCT
cana-4144	707	5	)	)	PUNCT
cana-4144	707	6	1	1	NUM
cana-4144	707	7	g	g	NOUN
cana-4144	707	8	g	g	NOUN
cana-4144	707	9			PROPN
cana-4144	707	10	=	=	PROPN
cana-4144	707	11	ü	ü	PROPN
cana-4144	707	12	for	for	ADP
cana-4144	707	13	all	all	PRON
cana-4144	707	14	g	g	PROPN
cana-4144	707	15	x	x	PROPN
cana-4144	707	16	,	,	PUNCT
cana-4144	707	17	it	it	PRON
cana-4144	707	18	follows	follow	VERB
cana-4144	707	19	that	that	SCONJ
cana-4144	707	20	1	1	NUM
cana-4144	707	21	1	1	NUM
cana-4144	707	22	(	(	PUNCT
cana-4144	707	23	,	,	PUNCT
cana-4144	707	24	)	)	PUNCT
cana-4144	707	25	1	1	NUM
cana-4144	707	26	g	g	NOUN
cana-4144	707	27	g	g	NOUN
cana-4144	707	28	−	−	PROPN
cana-4144	707	29			PROPN
cana-4144	707	30	=	=	PUNCT
cana-4144	707	31	ü	ü	PROPN
cana-4144	707	32	for	for	ADP
cana-4144	707	33	all	all	PRON
cana-4144	707	34	g	g	PROPN
cana-4144	707	35	x	x	PROPN
cana-4144	707	36	.	.	PUNCT
cana-4144	708	1	therefore	therefore	ADV
cana-4144	708	2	1	1	NUM
cana-4144	708	3	1	1	NUM
cana-4144	708	4	−	−	NOUN
cana-4144	708	5	ü	ü	PRON
cana-4144	708	6	is	be	AUX
cana-4144	708	7	reflexive	reflexive	ADJ
cana-4144	708	8	.	.	PUNCT
cana-4144	709	1	conversely	conversely	ADV
cana-4144	709	2	,	,	PUNCT
cana-4144	709	3	assume	assume	VERB
cana-4144	709	4	1	1	NUM
cana-4144	709	5	1	1	NUM
cana-4144	709	6	−	−	NOUN
cana-4144	709	7	ü	ü	PRON
cana-4144	709	8	is	be	AUX
cana-4144	709	9	reflexive	reflexive	ADJ
cana-4144	709	10	.	.	PUNCT
cana-4144	710	1	this	this	PRON
cana-4144	710	2	means	mean	VERB
cana-4144	710	3	1	1	NUM
cana-4144	710	4	1	1	NUM
cana-4144	710	5	(	(	PUNCT
cana-4144	710	6	,	,	PUNCT
cana-4144	710	7	)	)	PUNCT
cana-4144	710	8	1	1	NUM
cana-4144	710	9	g	g	NOUN
cana-4144	710	10	g	g	NOUN
cana-4144	710	11	−	−	PROPN
cana-4144	711	1			PROPN
cana-4144	711	2	=	=	PUNCT
cana-4144	711	3	ü	ü	PROPN
cana-4144	711	4	for	for	ADP
cana-4144	711	5	all	all	PRON
cana-4144	711	6	g	g	PROPN
cana-4144	711	7	x	x	PROPN
cana-4144	711	8	.	.	PUNCT
cana-4144	712	1	we	we	PRON
cana-4144	712	2	need	need	VERB
cana-4144	712	3	to	to	PART
cana-4144	712	4	show	show	VERB
cana-4144	712	5	that	that	SCONJ
cana-4144	712	6	1ü	1ü	PROPN
cana-4144	712	7	is	be	AUX
cana-4144	712	8	reflexive	reflexive	ADJ
cana-4144	712	9	.	.	PUNCT
cana-4144	713	1	for	for	SCONJ
cana-4144	713	2	1ü	1ü	NOUN
cana-4144	713	3	to	to	PART
cana-4144	713	4	be	be	AUX
cana-4144	713	5	reflexive	reflexive	ADJ
cana-4144	713	6	,	,	PUNCT
cana-4144	713	7	we	we	PRON
cana-4144	713	8	require	require	VERB
cana-4144	713	9	1	1	NUM
cana-4144	713	10	(	(	PUNCT
cana-4144	713	11	,	,	PUNCT
cana-4144	713	12	)	)	PUNCT
cana-4144	713	13	1	1	NUM
cana-4144	713	14	g	g	NOUN
cana-4144	713	15	g	g	NOUN
cana-4144	713	16			PROPN
cana-4144	713	17	=	=	PROPN
cana-4144	713	18	ü	ü	PROPN
cana-4144	713	19	for	for	ADP
cana-4144	713	20	all	all	PRON
cana-4144	713	21	g	g	PROPN
cana-4144	713	22	x	x	PROPN
cana-4144	713	23	.	.	PUNCT
cana-4144	714	1	by	by	ADP
cana-4144	714	2	the	the	DET
cana-4144	714	3	definition	definition	NOUN
cana-4144	714	4	of	of	ADP
cana-4144	714	5	the	the	DET
cana-4144	714	6	inverse	inverse	ADJ
cana-4144	714	7	fuzzy	fuzzy	ADJ
cana-4144	714	8	relation	relation	NOUN
cana-4144	714	9	1	1	NUM
cana-4144	714	10	1	1	NUM
cana-4144	714	11	1	1	NUM
cana-4144	714	12	(	(	PUNCT
cana-4144	714	13	,	,	PUNCT
cana-4144	714	14	)	)	PUNCT
cana-4144	714	15	(	(	PUNCT
cana-4144	714	16	,	,	PUNCT
cana-4144	714	17	)	)	PUNCT
cana-4144	714	18	g	g	NOUN
cana-4144	714	19	g	g	PROPN
cana-4144	714	20	g	g	NOUN
cana-4144	714	21	g	g	NOUN
cana-4144	714	22			NOUN
cana-4144	714	23	−	−	NOUN
cana-4144	715	1			PROPN
cana-4144	715	2			PROPN
cana-4144	715	3	=	=	PROPN
cana-4144	715	4	ü	ü	PROPN
cana-4144	715	5	ü	ü	PROPN
cana-4144	715	6	.	.	PUNCT
cana-4144	716	1	since	since	SCONJ
cana-4144	716	2	1	1	NUM
cana-4144	716	3	1	1	NUM
cana-4144	716	4	(	(	PUNCT
cana-4144	716	5	,	,	PUNCT
cana-4144	716	6	)	)	PUNCT
cana-4144	716	7	1	1	NUM
cana-4144	716	8	g	g	NOUN
cana-4144	716	9	g	g	NOUN
cana-4144	716	10	−	−	PROPN
cana-4144	716	11			PROPN
cana-4144	716	12	=	=	PUNCT
cana-4144	716	13	ü	ü	PROPN
cana-4144	716	14	for	for	ADP
cana-4144	716	15	all	all	PRON
cana-4144	716	16	g	g	PROPN
cana-4144	716	17	x	x	PROPN
cana-4144	716	18	,	,	PUNCT
cana-4144	716	19	it	it	PRON
cana-4144	716	20	follows	follow	VERB
cana-4144	716	21	that	that	SCONJ
cana-4144	716	22	1	1	NUM
cana-4144	716	23	(	(	PUNCT
cana-4144	716	24	,	,	PUNCT
cana-4144	716	25	)	)	PUNCT
cana-4144	716	26	1	1	NUM
cana-4144	716	27	g	g	NOUN
cana-4144	716	28	g	g	NOUN
cana-4144	716	29			PROPN
cana-4144	716	30	=	=	PROPN
cana-4144	716	31	ü	ü	PROPN
cana-4144	716	32	for	for	ADP
cana-4144	716	33	all	all	PRON
cana-4144	716	34	g	g	PROPN
cana-4144	716	35	x	x	PROPN
cana-4144	716	36	.	.	PUNCT
cana-4144	717	1	therefore	therefore	ADV
cana-4144	717	2	,	,	PUNCT
cana-4144	717	3	1ü	1ü	PROPN
cana-4144	717	4	is	be	AUX
cana-4144	717	5	reflexive	reflexive	ADJ
cana-4144	717	6	.	.	PUNCT
cana-4144	718	1	2	2	X
cana-4144	718	2	.	.	PUNCT
cana-4144	718	3	given	give	VERB
cana-4144	718	4	,	,	PUNCT
cana-4144	718	5	1ü	1ü	PROPN
cana-4144	718	6	is	be	AUX
cana-4144	718	7	a	a	DET
cana-4144	718	8	reflexive	reflexive	ADJ
cana-4144	718	9	fuzzy	fuzzy	ADJ
cana-4144	718	10	relation	relation	NOUN
cana-4144	718	11	on	on	ADP
cana-4144	718	12	x	x	X
cana-4144	718	13	.	.	PUNCT
cana-4144	719	1	to	to	PART
cana-4144	719	2	show	show	VERB
cana-4144	719	3	that	that	SCONJ
cana-4144	719	4	1	1	NUM
cana-4144	719	5	2	2	NUM
cana-4144	719	6	ü	ü	NOUN
cana-4144	719	7	ü	ü	PROPN
cana-4144	719	8	is	be	AUX
cana-4144	719	9	reflexive	reflexive	ADJ
cana-4144	719	10	for	for	ADP
cana-4144	719	11	any	any	DET
cana-4144	719	12	signedfr	signedfr	NOUN
cana-4144	719	13	2ü	2ü	NOUN
cana-4144	719	14	on	on	ADP
cana-4144	719	15	x	x	X
cana-4144	719	16	.	.	PUNCT
cana-4144	720	1	since	since	SCONJ
cana-4144	720	2	1ü	1ü	PROPN
cana-4144	720	3	is	be	AUX
cana-4144	720	4	reflexive	reflexive	ADJ
cana-4144	720	5	,	,	PUNCT
cana-4144	720	6	we	we	PRON
cana-4144	720	7	have	have	VERB
cana-4144	720	8	1	1	NUM
cana-4144	720	9	(	(	PUNCT
cana-4144	720	10	,	,	PUNCT
cana-4144	720	11	)	)	PUNCT
cana-4144	720	12	1	1	NUM
cana-4144	720	13	g	g	NOUN
cana-4144	720	14	g	g	NOUN
cana-4144	720	15			PROPN
cana-4144	720	16	=	=	PROPN
cana-4144	720	17	ü	ü	PROPN
cana-4144	720	18	for	for	ADP
cana-4144	720	19	all	all	PRON
cana-4144	720	20	g	g	PROPN
cana-4144	720	21	x	x	PROPN
cana-4144	720	22	.	.	PUNCT
cana-4144	721	1	we	we	PRON
cana-4144	721	2	need	need	VERB
cana-4144	721	3	to	to	PART
cana-4144	721	4	show	show	VERB
cana-4144	721	5	that	that	SCONJ
cana-4144	721	6	1	1	NUM
cana-4144	721	7	2	2	NUM
cana-4144	721	8	ü	ü	NOUN
cana-4144	721	9	ü	ü	PROPN
cana-4144	721	10	is	be	AUX
cana-4144	721	11	reflexive	reflexive	ADJ
cana-4144	721	12	,	,	PUNCT
cana-4144	721	13	we	we	PRON
cana-4144	721	14	require	require	VERB
cana-4144	721	15	1	1	NUM
cana-4144	721	16	2	2	NUM
cana-4144	721	17	(	(	PUNCT
cana-4144	721	18	,	,	PUNCT
cana-4144	721	19	)	)	PUNCT
cana-4144	721	20	1	1	NUM
cana-4144	721	21	g	g	NOUN
cana-4144	721	22	g	g	NUM
cana-4144	722	1			PROPN
cana-4144	722	2			PROPN
cana-4144	722	3	=	=	SYM
cana-4144	722	4	ü	ü	PROPN
cana-4144	722	5	ü	ü	PROPN
cana-4144	722	6	for	for	ADP
cana-4144	722	7	all	all	PRON
cana-4144	722	8	g	g	PROPN
cana-4144	722	9	x	x	PROPN
cana-4144	722	10	.	.	PUNCT
cana-4144	723	1	by	by	ADP
cana-4144	723	2	the	the	DET
cana-4144	723	3	definition	definition	NOUN
cana-4144	723	4	of	of	ADP
cana-4144	723	5	union	union	NOUN
cana-4144	723	6	of	of	ADP
cana-4144	723	7	signedfrs	signedfrs	PROPN
cana-4144	723	8	,	,	PUNCT
cana-4144	723	9	the	the	DET
cana-4144	723	10	membership	membership	NOUN
cana-4144	723	11	grade	grade	NOUN
cana-4144	723	12	of	of	ADP
cana-4144	723	13	(	(	PUNCT
cana-4144	723	14	,	,	PUNCT
cana-4144	723	15	)	)	PUNCT
cana-4144	723	16	g	g	NOUN
cana-4144	723	17	g	g	NOUN
cana-4144	723	18	in	in	ADP
cana-4144	723	19	1	1	NUM
cana-4144	723	20	2	2	NUM
cana-4144	723	21	ü	ü	NOUN
cana-4144	724	1	ü	ü	PROPN
cana-4144	724	2	is	be	AUX
cana-4144	724	3	1	1	NUM
cana-4144	724	4	2	2	NUM
cana-4144	724	5	1	1	NUM
cana-4144	724	6	2	2	NUM
cana-4144	724	7	(	(	PUNCT
cana-4144	724	8	,	,	PUNCT
cana-4144	724	9	)	)	PUNCT
cana-4144	724	10	(	(	PUNCT
cana-4144	724	11	(	(	PUNCT
cana-4144	724	12	,	,	PUNCT
cana-4144	724	13	)	)	PUNCT
cana-4144	724	14	,	,	PUNCT
cana-4144	724	15	(	(	PUNCT
cana-4144	724	16	,	,	PUNCT
cana-4144	724	17	)	)	PUNCT
cana-4144	724	18	)	)	PUNCT
cana-4144	725	1	g	g	NOUN
cana-4144	725	2	g	g	PROPN
cana-4144	725	3	max	max	PROPN
cana-4144	725	4	g	g	PROPN
cana-4144	725	5	g	g	PROPN
cana-4144	725	6	g	g	PROPN
cana-4144	725	7	g	g	NOUN
cana-4144	725	8			NOUN
cana-4144	725	9			NOUN
cana-4144	726	1			PROPN
cana-4144	726	2			PROPN
cana-4144	727	1			PROPN
cana-4144	727	2			PROPN
cana-4144	728	1	=	=	SYM
cana-4144	728	2	ü	ü	NOUN
cana-4144	728	3	ü	ü	NOUN
cana-4144	728	4	ü	ü	NOUN
cana-4144	728	5	ü	ü	PROPN
cana-4144	728	6	.	.	PUNCT
cana-4144	729	1	since	since	SCONJ
cana-4144	729	2	1	1	NUM
cana-4144	729	3	(	(	PUNCT
cana-4144	729	4	,	,	PUNCT
cana-4144	729	5	)	)	PUNCT
cana-4144	729	6	1	1	NUM
cana-4144	729	7	g	g	NOUN
cana-4144	729	8	g	g	NOUN
cana-4144	729	9			PROPN
cana-4144	729	10	=	=	PROPN
cana-4144	729	11	ü	ü	PROPN
cana-4144	729	12	for	for	ADP
cana-4144	729	13	all	all	PRON
cana-4144	729	14	g	g	PROPN
cana-4144	729	15	x	x	PROPN
cana-4144	729	16	,	,	PUNCT
cana-4144	729	17	we	we	PRON
cana-4144	729	18	have	have	VERB
cana-4144	729	19	1	1	NUM
cana-4144	729	20	2	2	NUM
cana-4144	729	21	ü	ü	NOUN
cana-4144	729	22	ü	ü	PROPN
cana-4144	729	23	is	be	AUX
cana-4144	729	24	1	1	NUM
cana-4144	729	25	2	2	NUM
cana-4144	729	26	2	2	NUM
cana-4144	729	27	1	1	NUM
cana-4144	729	28	,	,	PUNCT
cana-4144	729	29	(	(	PUNCT
cana-4144	729	30	(	(	PUNCT
cana-4144	729	31	,	,	PUNCT
cana-4144	729	32	)	)	PUNCT
cana-4144	729	33	,	,	PUNCT
cana-4144	729	34	(	(	PUNCT
cana-4144	729	35	,	,	PUNCT
cana-4144	729	36	)	)	PUNCT
cana-4144	729	37	)	)	PUNCT
cana-4144	730	1	(	(	PUNCT
cana-4144	730	2	(	(	PUNCT
cana-4144	730	3	,	,	PUNCT
cana-4144	730	4	)	)	PUNCT
cana-4144	730	5	)	)	PUNCT
cana-4144	731	1	1max	1max	NUM
cana-4144	731	2	g	g	NOUN
cana-4144	731	3	g	g	PROPN
cana-4144	731	4	g	g	PROPN
cana-4144	731	5	g	g	PROPN
cana-4144	731	6	max	max	PROPN
cana-4144	731	7	g	g	PROPN
cana-4144	731	8	g	g	NUM
cana-4144	731	9			NOUN
cana-4144	731	10			NOUN
cana-4144	732	1			PROPN
cana-4144	732	2			PROPN
cana-4144	733	1			PROPN
cana-4144	733	2	=	=	PUNCT
cana-4144	734	1	=	=	NOUN
cana-4144	734	2	üü	üü	PROPN
cana-4144	734	3	ü	ü	PROPN
cana-4144	734	4	for	for	ADP
cana-4144	734	5	all	all	PRON
cana-4144	734	6	g	g	PROPN
cana-4144	734	7	x	x	PROPN
cana-4144	734	8	.	.	PUNCT
cana-4144	735	1	thus	thus	ADV
cana-4144	735	2	,	,	PUNCT
cana-4144	735	3	1	1	NUM
cana-4144	735	4	2	2	NUM
cana-4144	735	5	(	(	PUNCT
cana-4144	735	6	,	,	PUNCT
cana-4144	735	7	)	)	PUNCT
cana-4144	735	8	1	1	NUM
cana-4144	735	9	g	g	NOUN
cana-4144	735	10	g	g	NUM
cana-4144	735	11			PROPN
cana-4144	735	12			PROPN
cana-4144	735	13	=	=	SYM
cana-4144	735	14	ü	ü	PROPN
cana-4144	735	15	ü	ü	PROPN
cana-4144	735	16	for	for	ADP
cana-4144	735	17	all	all	PRON
cana-4144	735	18	g	g	PROPN
cana-4144	735	19	x	x	PROPN
cana-4144	735	20	.	.	PUNCT
cana-4144	736	1	therefore	therefore	ADV
cana-4144	736	2	1	1	NUM
cana-4144	736	3	2	2	NUM
cana-4144	736	4	ü	ü	NOUN
cana-4144	736	5	ü	ü	PROPN
cana-4144	736	6	is	be	AUX
cana-4144	736	7	reflexive	reflexive	ADJ
cana-4144	736	8	.	.	PUNCT
cana-4144	737	1	3	3	X
cana-4144	737	2	.	.	X
cana-4144	737	3	let	let	VERB
cana-4144	737	4	us	we	PRON
cana-4144	737	5	assume	assume	VERB
cana-4144	737	6	1	1	NUM
cana-4144	737	7	2	2	NUM
cana-4144	737	8	ü	ü	NOUN
cana-4144	737	9	ü	ü	PROPN
cana-4144	737	10	is	be	AUX
cana-4144	737	11	reflexive	reflexive	ADJ
cana-4144	737	12	,	,	PUNCT
cana-4144	737	13	then	then	ADV
cana-4144	737	14			NOUN
cana-4144	737	15	is	be	AUX
cana-4144	737	16	reflexive	reflexive	ADJ
cana-4144	737	17	.	.	PUNCT
cana-4144	738	1	assume	assume	VERB
cana-4144	738	2	1	1	NUM
cana-4144	738	3	2	2	NUM
cana-4144	738	4	ü	ü	NOUN
cana-4144	738	5	ü	ü	PROPN
cana-4144	738	6	is	be	AUX
cana-4144	738	7	reflexive	reflexive	ADJ
cana-4144	738	8	.	.	PUNCT
cana-4144	739	1	this	this	PRON
cana-4144	739	2	means	mean	VERB
cana-4144	739	3	1	1	NUM
cana-4144	739	4	2	2	NUM
cana-4144	739	5	(	(	PUNCT
cana-4144	739	6	,	,	PUNCT
cana-4144	739	7	)	)	PUNCT
cana-4144	739	8	1	1	NUM
cana-4144	739	9	g	g	NOUN
cana-4144	739	10	g	g	NOUN
cana-4144	739	11			PROPN
cana-4144	739	12			PROPN
cana-4144	739	13	=	=	SYM
cana-4144	739	14	ü	ü	PROPN
cana-4144	739	15	ü	ü	PROPN
cana-4144	739	16	for	for	ADP
cana-4144	739	17	all	all	PRON
cana-4144	739	18	g	g	PROPN
cana-4144	739	19	x	x	PROPN
cana-4144	739	20	.	.	PUNCT
cana-4144	740	1	1	1	NUM
cana-4144	740	2	2	2	NUM
cana-4144	740	3	(	(	PUNCT
cana-4144	740	4	,	,	PUNCT
cana-4144	740	5	)	)	PUNCT
cana-4144	740	6	1	1	NUM
cana-4144	740	7	g	g	NOUN
cana-4144	740	8	g	g	NOUN
cana-4144	740	9			PROPN
cana-4144	740	10			PROPN
cana-4144	740	11	=	=	SYM
cana-4144	740	12	ü	ü	PROPN
cana-4144	740	13	ü	ü	PROPN
cana-4144	740	14	for	for	ADP
cana-4144	740	15	all	all	PRON
cana-4144	740	16	g	g	PROPN
cana-4144	740	17	x	x	PROPN
cana-4144	740	18	.	.	PUNCT
cana-4144	741	1	by	by	ADP
cana-4144	741	2	the	the	DET
cana-4144	741	3	definition	definition	NOUN
cana-4144	741	4	of	of	ADP
cana-4144	741	5	the	the	DET
cana-4144	741	6	communications	communication	NOUN
cana-4144	741	7	on	on	ADP
cana-4144	741	8	applied	apply	VERB
cana-4144	741	9	nonlinear	nonlinear	ADJ
cana-4144	741	10	analysis	analysis	NOUN
cana-4144	741	11	issn	issn	NOUN
cana-4144	741	12	:	:	PUNCT
cana-4144	741	13	1074	1074	NUM
cana-4144	741	14	-	-	PUNCT
cana-4144	741	15	133x	133x	NUM
cana-4144	741	16	vol	vol	NOUN
cana-4144	741	17	x	x	NOUN
cana-4144	741	18	no	no	INTJ
cana-4144	741	19	.	.	PUNCT
cana-4144	742	1	y	y	PROPN
cana-4144	742	2	(	(	PUNCT
cana-4144	742	3	2025	2025	NUM
cana-4144	742	4	)	)	PUNCT
cana-4144	742	5	1342	1342	NUM
cana-4144	742	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	742	7	intersection	intersection	NOUN
cana-4144	742	8	of	of	ADP
cana-4144	742	9	signed	sign	VERB
cana-4144	742	10	-	-	PUNCT
cana-4144	742	11	frs	frs	ADJ
cana-4144	742	12	,	,	PUNCT
cana-4144	742	13	we	we	PRON
cana-4144	742	14	have	have	VERB
cana-4144	742	15	1	1	NUM
cana-4144	742	16	2	2	NUM
cana-4144	742	17	1	1	NUM
cana-4144	742	18	2	2	NUM
cana-4144	742	19	(	(	PUNCT
cana-4144	742	20	,	,	PUNCT
cana-4144	742	21	)	)	PUNCT
cana-4144	742	22	(	(	PUNCT
cana-4144	742	23	(	(	PUNCT
cana-4144	742	24	,	,	PUNCT
cana-4144	742	25	)	)	PUNCT
cana-4144	742	26	,	,	PUNCT
cana-4144	742	27	)	)	PUNCT
cana-4144	742	28	g	g	PROPN
cana-4144	742	29	g	g	PROPN
cana-4144	742	30	min	min	PROPN
cana-4144	742	31	g	g	PROPN
cana-4144	742	32	g	g	NOUN
cana-4144	742	33			NOUN
cana-4144	742	34			NOUN
cana-4144	743	1			PROPN
cana-4144	743	2			PROPN
cana-4144	744	1			PROPN
cana-4144	744	2			PROPN
cana-4144	745	1	=	=	SYM
cana-4144	745	2	ü	ü	NOUN
cana-4144	745	3	ü	ü	NOUN
cana-4144	745	4	ü	ü	NOUN
cana-4144	745	5	ü	ü	PROPN
cana-4144	745	6	.	.	PUNCT
cana-4144	746	1	since	since	SCONJ
cana-4144	746	2	1ü	1ü	PROPN
cana-4144	746	3	is	be	AUX
cana-4144	746	4	reflexive	reflexive	ADJ
cana-4144	746	5	,	,	PUNCT
cana-4144	746	6	we	we	PRON
cana-4144	746	7	know	know	VERB
cana-4144	746	8	1	1	NUM
cana-4144	746	9	2	2	NUM
cana-4144	746	10	(	(	PUNCT
cana-4144	746	11	,	,	PUNCT
cana-4144	746	12	)	)	PUNCT
cana-4144	746	13	1	1	NUM
cana-4144	746	14	g	g	NOUN
cana-4144	746	15	g	g	NUM
cana-4144	747	1			PROPN
cana-4144	747	2			PROPN
cana-4144	747	3	=	=	SYM
cana-4144	747	4	ü	ü	PROPN
cana-4144	747	5	ü	ü	PROPN
cana-4144	747	6	for	for	ADP
cana-4144	747	7	all	all	PRON
cana-4144	747	8	g	g	PROPN
cana-4144	747	9	x	x	PROPN
cana-4144	747	10	.	.	PUNCT
cana-4144	748	1	thus	thus	ADV
cana-4144	748	2	,	,	PUNCT
cana-4144	748	3	1	1	NUM
cana-4144	748	4	2	2	NUM
cana-4144	748	5	,	,	PUNCT
cana-4144	748	6	(	(	PUNCT
cana-4144	748	7	)	)	PUNCT
cana-4144	748	8	1min	1min	NUM
cana-4144	748	9			NOUN
cana-4144	748	10			NOUN
cana-4144	748	11			PROPN
cana-4144	748	12			PROPN
cana-4144	748	13	=	=	PROPN
cana-4144	748	14	ü	ü	PROPN
cana-4144	748	15	ü	ü	PROPN
cana-4144	748	16	for	for	ADP
cana-4144	748	17	all	all	PRON
cana-4144	748	18	g	g	PROPN
cana-4144	748	19	x	x	PROPN
cana-4144	748	20	.	.	PUNCT
cana-4144	749	1	the	the	DET
cana-4144	749	2	only	only	ADJ
cana-4144	749	3	way	way	NOUN
cana-4144	749	4	for	for	ADP
cana-4144	749	5	this	this	DET
cana-4144	749	6	equality	equality	NOUN
cana-4144	749	7	to	to	PART
cana-4144	749	8	hold	hold	VERB
cana-4144	749	9	is	be	AUX
cana-4144	749	10	if	if	SCONJ
cana-4144	749	11	2	2	NUM
cana-4144	749	12	(	(	PUNCT
cana-4144	749	13	,	,	PUNCT
cana-4144	749	14	)	)	PUNCT
cana-4144	749	15	1	1	NUM
cana-4144	749	16	g	g	NOUN
cana-4144	749	17	g	g	NOUN
cana-4144	749	18			PROPN
cana-4144	749	19	=	=	PROPN
cana-4144	749	20	ü	ü	PROPN
cana-4144	749	21	for	for	ADP
cana-4144	749	22	all	all	PRON
cana-4144	749	23	g	g	PROPN
cana-4144	749	24	x	x	PROPN
cana-4144	749	25	.	.	PUNCT
cana-4144	750	1	therefore	therefore	ADV
cana-4144	750	2	2ü	2ü	NOUN
cana-4144	750	3	is	be	AUX
cana-4144	750	4	reflexive	reflexive	ADJ
cana-4144	750	5	.	.	PUNCT
cana-4144	751	1	conversely	conversely	ADV
cana-4144	751	2	,	,	PUNCT
cana-4144	751	3	if	if	SCONJ
cana-4144	751	4	2ü	2ü	NOUN
cana-4144	751	5	is	be	AUX
cana-4144	751	6	reflexive	reflexive	ADJ
cana-4144	751	7	,	,	PUNCT
cana-4144	751	8	then	then	ADV
cana-4144	751	9	1	1	NUM
cana-4144	751	10	2	2	NUM
cana-4144	751	11	ü	ü	NOUN
cana-4144	751	12	ü	ü	PROPN
cana-4144	751	13	is	be	AUX
cana-4144	751	14	reflexive	reflexive	ADJ
cana-4144	751	15	.	.	PUNCT
cana-4144	752	1	assume	assume	VERB
cana-4144	752	2	2ü	2ü	NOUN
cana-4144	752	3	is	be	AUX
cana-4144	752	4	reflexive	reflexive	ADJ
cana-4144	752	5	.	.	PUNCT
cana-4144	753	1	this	this	PRON
cana-4144	753	2	means	mean	VERB
cana-4144	753	3	2	2	NUM
cana-4144	753	4	(	(	PUNCT
cana-4144	753	5	,	,	PUNCT
cana-4144	753	6	)	)	PUNCT
cana-4144	753	7	1	1	NUM
cana-4144	753	8	g	g	NOUN
cana-4144	753	9	g	g	NOUN
cana-4144	753	10			PROPN
cana-4144	753	11	=	=	PROPN
cana-4144	753	12	ü	ü	PROPN
cana-4144	753	13	for	for	ADP
cana-4144	753	14	all	all	PRON
cana-4144	753	15	g	g	PROPN
cana-4144	753	16	x	x	PROPN
cana-4144	753	17	.	.	PUNCT
cana-4144	754	1	we	we	PRON
cana-4144	754	2	need	need	VERB
cana-4144	754	3	to	to	PART
cana-4144	754	4	show	show	VERB
cana-4144	754	5	that	that	SCONJ
cana-4144	754	6	1	1	NUM
cana-4144	754	7	2	2	NUM
cana-4144	754	8	ü	ü	NOUN
cana-4144	754	9	ü	ü	PROPN
cana-4144	754	10	is	be	AUX
cana-4144	754	11	reflexive	reflexive	ADJ
cana-4144	754	12	.	.	PUNCT
cana-4144	755	1	for	for	SCONJ
cana-4144	755	2	1	1	NUM
cana-4144	755	3	2	2	NUM
cana-4144	755	4	ü	ü	NOUN
cana-4144	755	5	ü	ü	NOUN
cana-4144	755	6	to	to	PART
cana-4144	755	7	be	be	AUX
cana-4144	755	8	reflexive	reflexive	ADJ
cana-4144	755	9	,	,	PUNCT
cana-4144	755	10	we	we	PRON
cana-4144	755	11	require	require	VERB
cana-4144	755	12	1	1	NUM
cana-4144	755	13	2	2	NUM
cana-4144	755	14	(	(	PUNCT
cana-4144	755	15	,	,	PUNCT
cana-4144	755	16	)	)	PUNCT
cana-4144	755	17	1	1	NUM
cana-4144	755	18	g	g	NOUN
cana-4144	755	19	g	g	NOUN
cana-4144	755	20			PROPN
cana-4144	755	21			PROPN
cana-4144	755	22	=	=	SYM
cana-4144	755	23	ü	ü	PROPN
cana-4144	755	24	ü	ü	PROPN
cana-4144	755	25	for	for	ADP
cana-4144	755	26	all	all	PRON
cana-4144	755	27	g	g	PROPN
cana-4144	755	28	x	x	PROPN
cana-4144	755	29	.	.	PUNCT
cana-4144	756	1	by	by	ADP
cana-4144	756	2	the	the	DET
cana-4144	756	3	definition	definition	NOUN
cana-4144	756	4	of	of	ADP
cana-4144	756	5	the	the	DET
cana-4144	756	6	intersection	intersection	NOUN
cana-4144	756	7	of	of	ADP
cana-4144	756	8	fuzzy	fuzzy	ADJ
cana-4144	756	9	relations	relation	NOUN
cana-4144	756	10	,	,	PUNCT
cana-4144	756	11	we	we	PRON
cana-4144	756	12	have	have	VERB
cana-4144	756	13	1	1	NUM
cana-4144	756	14	2	2	NUM
cana-4144	756	15	1	1	NUM
cana-4144	756	16	(	(	PUNCT
cana-4144	756	17	,	,	PUNCT
cana-4144	756	18	)	)	PUNCT
cana-4144	756	19	(	(	PUNCT
cana-4144	756	20	(	(	PUNCT
cana-4144	756	21	,	,	PUNCT
cana-4144	756	22	)	)	PUNCT
cana-4144	756	23	,	,	PUNCT
cana-4144	756	24	(	(	PUNCT
cana-4144	756	25	,	,	PUNCT
cana-4144	756	26	)	)	PUNCT
cana-4144	756	27	)	)	PUNCT
cana-4144	757	1	g	g	PROPN
cana-4144	757	2	g	g	PROPN
cana-4144	757	3	min	min	PROPN
cana-4144	757	4	g	g	PROPN
cana-4144	757	5	g	g	PROPN
cana-4144	757	6	g	g	PROPN
cana-4144	757	7	g	g	NOUN
cana-4144	757	8			NOUN
cana-4144	757	9			NOUN
cana-4144	758	1			PROPN
cana-4144	758	2			PROPN
cana-4144	759	1			PROPN
cana-4144	759	2	=	=	SYM
cana-4144	759	3	ü	ü	NOUN
cana-4144	759	4	ü	ü	NOUN
cana-4144	759	5	ü	ü	PROPN
cana-4144	759	6	.	.	PUNCT
cana-4144	760	1	since	since	SCONJ
cana-4144	760	2	both	both	CCONJ
cana-4144	760	3	1ü	1ü	NOUN
cana-4144	760	4	and	and	CCONJ
cana-4144	760	5	2ü	2ü	NOUN
cana-4144	760	6	are	be	AUX
cana-4144	760	7	reflexive	reflexive	ADJ
cana-4144	760	8	,	,	PUNCT
cana-4144	760	9	we	we	PRON
cana-4144	760	10	have	have	VERB
cana-4144	760	11	1	1	NUM
cana-4144	760	12	(	(	PUNCT
cana-4144	760	13	,	,	PUNCT
cana-4144	760	14	)	)	PUNCT
cana-4144	760	15	1	1	NUM
cana-4144	760	16	g	g	NOUN
cana-4144	760	17	g	g	NOUN
cana-4144	760	18			PROPN
cana-4144	760	19	=	=	PROPN
cana-4144	760	20	ü	ü	PROPN
cana-4144	760	21	and	and	CCONJ
cana-4144	760	22	2	2	NUM
cana-4144	760	23	(	(	PUNCT
cana-4144	760	24	,	,	PUNCT
cana-4144	760	25	)	)	PUNCT
cana-4144	760	26	1	1	NUM
cana-4144	760	27	g	g	NOUN
cana-4144	760	28	g	g	NOUN
cana-4144	760	29			PROPN
cana-4144	760	30	=	=	PROPN
cana-4144	760	31	ü	ü	PROPN
cana-4144	760	32	for	for	ADP
cana-4144	760	33	all	all	PRON
cana-4144	760	34	g	g	PROPN
cana-4144	760	35	x	x	PROPN
cana-4144	760	36	.	.	PUNCT
cana-4144	761	1	thus	thus	ADV
cana-4144	761	2	(	(	PUNCT
cana-4144	761	3	1,1	1,1	X
cana-4144	761	4	)	)	PUNCT
cana-4144	761	5	1min	1min	NOUN
cana-4144	761	6	=	=	PUNCT
cana-4144	761	7	for	for	ADP
cana-4144	761	8	all	all	PRON
cana-4144	761	9	g	g	PROPN
cana-4144	761	10	x	x	PROPN
cana-4144	761	11	.	.	PUNCT
cana-4144	762	1	therefore	therefore	ADV
cana-4144	762	2	1	1	NUM
cana-4144	762	3	2	2	NUM
cana-4144	762	4	(	(	PUNCT
cana-4144	762	5	,	,	PUNCT
cana-4144	762	6	)	)	PUNCT
cana-4144	762	7	1	1	NUM
cana-4144	762	8	g	g	NOUN
cana-4144	762	9	g	g	NOUN
cana-4144	762	10			PROPN
cana-4144	762	11			PROPN
cana-4144	762	12	=	=	SYM
cana-4144	762	13	ü	ü	PROPN
cana-4144	762	14	ü	ü	PROPN
cana-4144	762	15	for	for	ADP
cana-4144	762	16	all	all	PRON
cana-4144	762	17	g	g	PROPN
cana-4144	762	18	x	x	PROPN
cana-4144	762	19	.	.	PUNCT
cana-4144	763	1	hence	hence	ADV
cana-4144	763	2	1	1	NUM
cana-4144	763	3	2	2	NUM
cana-4144	763	4	ü	ü	NOUN
cana-4144	763	5	ü	ü	PROPN
cana-4144	763	6	is	be	AUX
cana-4144	763	7	reflexive	reflexive	ADJ
cana-4144	763	8	.	.	PUNCT
cana-4144	764	1	theorem	theorem	VERB
cana-4144	764	2	4.2	4.2	NUM
cana-4144	764	3	.	.	PUNCT
cana-4144	765	1	let	let	VERB
cana-4144	765	2	1	1	NUM
cana-4144	765	3	(	(	PUNCT
cana-4144	765	4	)	)	PUNCT
cana-4144	765	5	signed	sign	VERB
cana-4144	765	6	fr	fr	PROPN
cana-4144	765	7	x	x	PROPN
cana-4144	765	8			NOUN
cana-4144	765	9	−ü	−ü	PROPN
cana-4144	765	10	.	.	PUNCT
cana-4144	766	1	1	1	X
cana-4144	766	2	.	.	X
cana-4144	766	3	1ü	1ü	PROPN
cana-4144	766	4	is	be	AUX
cana-4144	766	5	antireflexive	antireflexive	ADJ
cana-4144	766	6	if	if	SCONJ
cana-4144	767	1	and	and	CCONJ
cana-4144	767	2	only	only	ADV
cana-4144	767	3	if	if	SCONJ
cana-4144	767	4	1	1	NUM
cana-4144	767	5	1	1	NUM
cana-4144	767	6	−	−	NOUN
cana-4144	767	7	ü	ü	VERB
cana-4144	767	8	is	be	AUX
cana-4144	767	9	antireflexive	antireflexive	ADJ
cana-4144	767	10	.	.	PUNCT
cana-4144	768	1	2	2	X
cana-4144	768	2	.	.	X
cana-4144	768	3	if	if	SCONJ
cana-4144	768	4	1ü	1ü	PROPN
cana-4144	768	5	is	be	AUX
cana-4144	768	6	antireflexive	antireflexive	ADJ
cana-4144	768	7	,	,	PUNCT
cana-4144	768	8	then	then	ADV
cana-4144	768	9	1	1	NUM
cana-4144	768	10	2	2	NUM
cana-4144	768	11	ü	ü	NOUN
cana-4144	768	12	ü	ü	PROPN
cana-4144	768	13	is	be	AUX
cana-4144	768	14	antireflexive	antireflexive	ADJ
cana-4144	768	15	if	if	SCONJ
cana-4144	768	16	and	and	CCONJ
cana-4144	768	17	only	only	ADV
cana-4144	768	18	if	if	SCONJ
cana-4144	768	19	(	(	PUNCT
cana-4144	768	20	)	)	PUNCT
cana-4144	768	21	signed	sign	VERB
cana-4144	768	22	fr	fr	PROPN
cana-4144	768	23	x	x	PUNCT
cana-4144	769	1			NOUN
cana-4144	769	2	−	−	PROPN
cana-4144	769	3	is	be	AUX
cana-4144	769	4	antireflexive	antireflexive	ADJ
cana-4144	769	5	.	.	PUNCT
cana-4144	770	1	3	3	X
cana-4144	770	2	.	.	X
cana-4144	770	3	if	if	SCONJ
cana-4144	770	4	1ü	1ü	PROPN
cana-4144	770	5	is	be	AUX
cana-4144	770	6	antireflexive	antireflexive	ADJ
cana-4144	770	7	,	,	PUNCT
cana-4144	770	8	then	then	ADV
cana-4144	770	9	1	1	NUM
cana-4144	770	10	2	2	NUM
cana-4144	770	11	ü	ü	NOUN
cana-4144	770	12	ü	ü	PROPN
cana-4144	770	13	is	be	AUX
cana-4144	770	14	antireflexive	antireflexive	ADJ
cana-4144	770	15	for	for	ADP
cana-4144	770	16	each	each	DET
cana-4144	770	17			NOUN
cana-4144	770	18	in	in	ADP
cana-4144	770	19	(	(	PUNCT
cana-4144	770	20	)	)	PUNCT
cana-4144	770	21	signed	sign	VERB
cana-4144	770	22	fr	fr	PROPN
cana-4144	770	23	x−	x−	PROPN
cana-4144	770	24	.	.	PUNCT
cana-4144	771	1	proof	proof	NOUN
cana-4144	771	2	.	.	PUNCT
cana-4144	772	1	1	1	X
cana-4144	772	2	.	.	X
cana-4144	772	3	assume	assume	VERB
cana-4144	772	4	1ü	1ü	PROPN
cana-4144	772	5	is	be	AUX
cana-4144	772	6	antireflexive	antireflexive	ADJ
cana-4144	772	7	.	.	PUNCT
cana-4144	773	1	this	this	PRON
cana-4144	773	2	means	mean	VERB
cana-4144	773	3	that	that	SCONJ
cana-4144	773	4	1	1	NUM
cana-4144	773	5	(	(	PUNCT
cana-4144	773	6	,	,	PUNCT
cana-4144	773	7	)	)	PUNCT
cana-4144	773	8	0	0	NUM
cana-4144	773	9	g	g	NOUN
cana-4144	773	10	g	g	NOUN
cana-4144	773	11			PROPN
cana-4144	773	12	=	=	PROPN
cana-4144	773	13	ü	ü	PROPN
cana-4144	773	14	for	for	ADP
cana-4144	773	15	all	all	PRON
cana-4144	773	16	g	g	PROPN
cana-4144	773	17	x	x	PROPN
cana-4144	773	18	.	.	PUNCT
cana-4144	774	1	we	we	PRON
cana-4144	774	2	need	need	VERB
cana-4144	774	3	to	to	PART
cana-4144	774	4	show	show	VERB
cana-4144	774	5	that	that	SCONJ
cana-4144	774	6	1	1	NUM
cana-4144	774	7	1	1	NUM
cana-4144	774	8	−	−	NOUN
cana-4144	774	9	ü	ü	VERB
cana-4144	774	10	is	be	AUX
cana-4144	774	11	antireflexive	antireflexive	ADJ
cana-4144	774	12	.	.	PUNCT
cana-4144	775	1	for	for	ADP
cana-4144	775	2	1	1	NUM
cana-4144	775	3	1	1	NUM
cana-4144	775	4	−	−	NOUN
cana-4144	775	5	ü	ü	VERB
cana-4144	775	6	to	to	PART
cana-4144	775	7	be	be	AUX
cana-4144	775	8	aanti	aanti	ADJ
cana-4144	775	9	-	-	ADJ
cana-4144	775	10	reflexive	reflexive	ADJ
cana-4144	775	11	,	,	PUNCT
cana-4144	775	12	we	we	PRON
cana-4144	775	13	require	require	VERB
cana-4144	775	14	1	1	NUM
cana-4144	775	15	1	1	NUM
cana-4144	775	16	(	(	PUNCT
cana-4144	775	17	,	,	PUNCT
cana-4144	775	18	)	)	PUNCT
cana-4144	775	19	0	0	NUM
cana-4144	776	1	g	g	NOUN
cana-4144	776	2	g	g	NOUN
cana-4144	776	3			PROPN
cana-4144	776	4	−	−	PROPN
cana-4144	777	1	=	=	SYM
cana-4144	777	2	ü	ü	PROPN
cana-4144	777	3	for	for	ADP
cana-4144	777	4	all	all	PRON
cana-4144	777	5	g	g	PROPN
cana-4144	777	6	x	x	PROPN
cana-4144	777	7	.	.	PUNCT
cana-4144	778	1	by	by	ADP
cana-4144	778	2	the	the	DET
cana-4144	778	3	definition	definition	NOUN
cana-4144	778	4	of	of	ADP
cana-4144	778	5	the	the	DET
cana-4144	778	6	inverse	inverse	ADJ
cana-4144	778	7	fuzzy	fuzzy	ADJ
cana-4144	778	8	relation	relation	NOUN
cana-4144	778	9	,	,	PUNCT
cana-4144	778	10	1	1	NUM
cana-4144	778	11	11	11	NUM
cana-4144	778	12	(	(	PUNCT
cana-4144	778	13	,	,	PUNCT
cana-4144	778	14	)	)	PUNCT
cana-4144	778	15	(	(	PUNCT
cana-4144	778	16	,	,	PUNCT
cana-4144	778	17	)	)	PUNCT
cana-4144	778	18	g	g	NOUN
cana-4144	778	19	g	g	PROPN
cana-4144	778	20	g	g	PROPN
cana-4144	778	21	g	g	PROPN
cana-4144	778	22	−	−	NOUN
cana-4144	778	23			NOUN
cana-4144	778	24	=	=	SYM
cana-4144	778	25	üü	üü	PROPN
cana-4144	778	26	.	.	PUNCT
cana-4144	779	1	since	since	SCONJ
cana-4144	779	2	1	1	NUM
cana-4144	779	3	1	1	NUM
cana-4144	779	4	(	(	PUNCT
cana-4144	779	5	,	,	PUNCT
cana-4144	779	6	)	)	PUNCT
cana-4144	779	7	0	0	NUM
cana-4144	779	8	g	g	NOUN
cana-4144	779	9	g	g	NOUN
cana-4144	779	10	−	−	PROPN
cana-4144	780	1			PROPN
cana-4144	780	2	=	=	PUNCT
cana-4144	780	3	ü	ü	PROPN
cana-4144	780	4	for	for	ADP
cana-4144	780	5	all	all	PRON
cana-4144	780	6	g	g	PROPN
cana-4144	780	7	x	x	PROPN
cana-4144	780	8	,	,	PUNCT
cana-4144	780	9	it	it	PRON
cana-4144	780	10	follows	follow	VERB
cana-4144	780	11	that	that	SCONJ
cana-4144	780	12	1	1	NUM
cana-4144	780	13	1	1	NUM
cana-4144	780	14	(	(	PUNCT
cana-4144	780	15	,	,	PUNCT
cana-4144	780	16	)	)	PUNCT
cana-4144	780	17	0	0	NUM
cana-4144	780	18	g	g	NOUN
cana-4144	780	19	g	g	NOUN
cana-4144	780	20	−	−	PROPN
cana-4144	781	1			PROPN
cana-4144	781	2	=	=	PUNCT
cana-4144	781	3	ü	ü	PROPN
cana-4144	781	4	for	for	ADP
cana-4144	781	5	all	all	PRON
cana-4144	781	6	g	g	PROPN
cana-4144	781	7	x	x	PROPN
cana-4144	781	8	.	.	PUNCT
cana-4144	782	1	therefore	therefore	ADV
cana-4144	782	2	1	1	NUM
cana-4144	782	3	1	1	NUM
cana-4144	782	4	−	−	NOUN
cana-4144	782	5	ü	ü	PRON
cana-4144	782	6	is	be	AUX
cana-4144	782	7	anti	anti	ADJ
cana-4144	782	8	-	-	ADJ
cana-4144	782	9	reflexive	reflexive	ADJ
cana-4144	782	10	.	.	PUNCT
cana-4144	783	1	conversely	conversely	ADV
cana-4144	783	2	,	,	PUNCT
cana-4144	783	3	assume	assume	VERB
cana-4144	783	4	1	1	NUM
cana-4144	783	5	1	1	NUM
cana-4144	783	6	−	−	NOUN
cana-4144	783	7	ü	ü	VERB
cana-4144	783	8	is	be	AUX
cana-4144	783	9	antireflexive	antireflexive	ADJ
cana-4144	783	10	.	.	PUNCT
cana-4144	784	1	this	this	PRON
cana-4144	784	2	means	mean	VERB
cana-4144	784	3	1	1	NUM
cana-4144	784	4	1	1	NUM
cana-4144	784	5	(	(	PUNCT
cana-4144	784	6	,	,	PUNCT
cana-4144	784	7	)	)	PUNCT
cana-4144	784	8	0	0	NUM
cana-4144	784	9	g	g	NOUN
cana-4144	784	10	g	g	NOUN
cana-4144	785	1	−	−	PROPN
cana-4144	786	1			PROPN
cana-4144	786	2	=	=	PUNCT
cana-4144	786	3	ü	ü	PROPN
cana-4144	786	4	for	for	ADP
cana-4144	786	5	all	all	PRON
cana-4144	786	6	g	g	PROPN
cana-4144	786	7	x	x	PROPN
cana-4144	786	8	.	.	PUNCT
cana-4144	787	1	we	we	PRON
cana-4144	787	2	need	need	VERB
cana-4144	787	3	to	to	PART
cana-4144	787	4	show	show	VERB
cana-4144	787	5	that	that	SCONJ
cana-4144	787	6	1ü	1ü	PROPN
cana-4144	787	7	is	be	AUX
cana-4144	787	8	antireflexive	antireflexive	ADJ
cana-4144	787	9	.	.	PUNCT
cana-4144	788	1	for	for	SCONJ
cana-4144	788	2	1ü	1ü	NOUN
cana-4144	788	3	to	to	PART
cana-4144	788	4	be	be	AUX
cana-4144	788	5	antireflexive	antireflexive	ADJ
cana-4144	788	6	,	,	PUNCT
cana-4144	788	7	we	we	PRON
cana-4144	788	8	require	require	VERB
cana-4144	788	9	1	1	NUM
cana-4144	788	10	1	1	NUM
cana-4144	788	11	(	(	PUNCT
cana-4144	788	12	,	,	PUNCT
cana-4144	788	13	)	)	PUNCT
cana-4144	788	14	0	0	NUM
cana-4144	788	15	g	g	NOUN
cana-4144	788	16	g	g	NOUN
cana-4144	789	1	−	−	PROPN
cana-4144	790	1			PROPN
cana-4144	790	2	=	=	PUNCT
cana-4144	790	3	ü	ü	PROPN
cana-4144	790	4	for	for	ADP
cana-4144	790	5	all	all	PRON
cana-4144	790	6	g	g	PROPN
cana-4144	790	7	x	x	PROPN
cana-4144	790	8	.	.	PUNCT
cana-4144	791	1	by	by	ADP
cana-4144	791	2	the	the	DET
cana-4144	791	3	definition	definition	NOUN
cana-4144	791	4	of	of	ADP
cana-4144	791	5	inverse	inverse	NOUN
cana-4144	791	6	signedfr	signedfr	NOUN
cana-4144	791	7	1	1	NUM
cana-4144	791	8	1	1	NUM
cana-4144	791	9	1	1	NUM
cana-4144	791	10	(	(	PUNCT
cana-4144	791	11	,	,	PUNCT
cana-4144	791	12	)	)	PUNCT
cana-4144	791	13	(	(	PUNCT
cana-4144	791	14	,	,	PUNCT
cana-4144	791	15	)	)	PUNCT
cana-4144	791	16	g	g	NOUN
cana-4144	791	17	g	g	PROPN
cana-4144	791	18	g	g	NOUN
cana-4144	791	19	g	g	NOUN
cana-4144	791	20			NOUN
cana-4144	791	21	−	−	NOUN
cana-4144	792	1			PROPN
cana-4144	792	2			PROPN
cana-4144	792	3	=	=	PROPN
cana-4144	792	4	ü	ü	PROPN
cana-4144	792	5	ü	ü	PROPN
cana-4144	792	6	.	.	PUNCT
cana-4144	793	1	since	since	SCONJ
cana-4144	793	2	1	1	NUM
cana-4144	793	3	1	1	NUM
cana-4144	793	4	(	(	PUNCT
cana-4144	793	5	,	,	PUNCT
cana-4144	793	6	)	)	PUNCT
cana-4144	793	7	0	0	NUM
cana-4144	793	8	g	g	NOUN
cana-4144	793	9	g	g	NOUN
cana-4144	793	10	−	−	PROPN
cana-4144	794	1			PROPN
cana-4144	794	2	=	=	PUNCT
cana-4144	794	3	ü	ü	PROPN
cana-4144	794	4	for	for	ADP
cana-4144	794	5	all	all	PRON
cana-4144	794	6	g	g	PROPN
cana-4144	794	7	x	x	PROPN
cana-4144	794	8	,	,	PUNCT
cana-4144	794	9	it	it	PRON
cana-4144	794	10	follows	follow	VERB
cana-4144	794	11	that	that	SCONJ
cana-4144	794	12	1	1	NUM
cana-4144	794	13	(	(	PUNCT
cana-4144	794	14	,	,	PUNCT
cana-4144	794	15	)	)	PUNCT
cana-4144	794	16	0	0	NUM
cana-4144	794	17	g	g	NOUN
cana-4144	794	18	g	g	NOUN
cana-4144	795	1			PROPN
cana-4144	795	2	=	=	PROPN
cana-4144	795	3	ü	ü	PROPN
cana-4144	795	4	for	for	ADP
cana-4144	795	5	all	all	PRON
cana-4144	795	6	g	g	PROPN
cana-4144	795	7	x	x	PROPN
cana-4144	795	8	.	.	PUNCT
cana-4144	796	1	therefore	therefore	ADV
cana-4144	796	2	1ü	1ü	PROPN
cana-4144	796	3	is	be	AUX
cana-4144	796	4	antireflexive	antireflexive	ADJ
cana-4144	796	5	.	.	PUNCT
cana-4144	797	1	2	2	X
cana-4144	797	2	.	.	X
cana-4144	797	3	let	let	VERB
cana-4144	797	4	us	we	PRON
cana-4144	797	5	assume	assume	VERB
cana-4144	797	6	1	1	NUM
cana-4144	797	7	2	2	NUM
cana-4144	797	8	ü	ü	NOUN
cana-4144	797	9	ü	ü	PROPN
cana-4144	797	10	is	be	AUX
cana-4144	797	11	antireflexive	antireflexive	ADJ
cana-4144	797	12	.	.	PUNCT
cana-4144	798	1	this	this	PRON
cana-4144	798	2	means	mean	VERB
cana-4144	798	3	that	that	SCONJ
cana-4144	798	4	1	1	NUM
cana-4144	798	5	2	2	NUM
cana-4144	798	6	(	(	PUNCT
cana-4144	798	7	,	,	PUNCT
cana-4144	798	8	)	)	PUNCT
cana-4144	798	9	0	0	NUM
cana-4144	798	10	g	g	NOUN
cana-4144	798	11	g	g	NUM
cana-4144	799	1			PROPN
cana-4144	799	2			PROPN
cana-4144	799	3	=	=	SYM
cana-4144	799	4	ü	ü	PROPN
cana-4144	799	5	ü	ü	PROPN
cana-4144	799	6	for	for	ADP
cana-4144	799	7	all	all	PRON
cana-4144	799	8	g	g	PROPN
cana-4144	799	9	x	x	PROPN
cana-4144	799	10	.	.	PUNCT
cana-4144	800	1	by	by	ADP
cana-4144	800	2	the	the	DET
cana-4144	800	3	definition	definition	NOUN
cana-4144	800	4	of	of	ADP
cana-4144	800	5	the	the	DET
cana-4144	800	6	union	union	NOUN
cana-4144	800	7	of	of	ADP
cana-4144	800	8	signed	sign	VERB
cana-4144	800	9	-	-	PUNCT
cana-4144	800	10	frs	frs	ADJ
cana-4144	800	11	,	,	PUNCT
cana-4144	800	12	we	we	PRON
cana-4144	800	13	have	have	VERB
cana-4144	800	14	1	1	NUM
cana-4144	800	15	2	2	NUM
cana-4144	800	16	1	1	NUM
cana-4144	800	17	2	2	NUM
cana-4144	800	18	(	(	PUNCT
cana-4144	800	19	,	,	PUNCT
cana-4144	800	20	)	)	PUNCT
cana-4144	800	21	(	(	PUNCT
cana-4144	800	22	(	(	PUNCT
cana-4144	800	23	,	,	PUNCT
cana-4144	800	24	)	)	PUNCT
cana-4144	800	25	,	,	PUNCT
cana-4144	800	26	)	)	PUNCT
cana-4144	800	27	(	(	PUNCT
cana-4144	800	28	,	,	PUNCT
cana-4144	800	29	)	)	PUNCT
cana-4144	800	30	g	g	NOUN
cana-4144	800	31	g	g	PROPN
cana-4144	800	32	max	max	PROPN
cana-4144	800	33	g	g	PROPN
cana-4144	800	34	g	g	PROPN
cana-4144	800	35	g	g	PROPN
cana-4144	800	36	g	g	NOUN
cana-4144	800	37			NOUN
cana-4144	800	38			NOUN
cana-4144	801	1			PROPN
cana-4144	801	2			PROPN
cana-4144	802	1			PROPN
cana-4144	802	2			PROPN
cana-4144	803	1	=	=	SYM
cana-4144	803	2	ü	ü	NOUN
cana-4144	803	3	ü	ü	NOUN
cana-4144	803	4	ü	ü	NOUN
cana-4144	803	5	ü	ü	PROPN
cana-4144	803	6	.	.	PUNCT
cana-4144	804	1	since	since	SCONJ
cana-4144	804	2	1ü	1ü	PROPN
cana-4144	804	3	is	be	AUX
cana-4144	804	4	antireflexive	antireflexive	ADJ
cana-4144	804	5	,	,	PUNCT
cana-4144	804	6	we	we	PRON
cana-4144	804	7	know	know	VERB
cana-4144	804	8	1	1	NUM
cana-4144	804	9	(	(	PUNCT
cana-4144	804	10	,	,	PUNCT
cana-4144	804	11	)	)	PUNCT
cana-4144	804	12	0	0	NUM
cana-4144	804	13	g	g	NOUN
cana-4144	804	14	g	g	NOUN
cana-4144	804	15			PROPN
cana-4144	804	16	=	=	PROPN
cana-4144	804	17	ü	ü	PROPN
cana-4144	804	18	for	for	ADP
cana-4144	804	19	all	all	PRON
cana-4144	804	20	g	g	PROPN
cana-4144	804	21	x	x	PROPN
cana-4144	804	22	.	.	PUNCT
cana-4144	805	1	thus	thus	ADV
cana-4144	805	2	2	2	NUM
cana-4144	805	3	(	(	PUNCT
cana-4144	805	4	0	0	NUM
cana-4144	805	5	,	,	PUNCT
cana-4144	805	6	(	(	PUNCT
cana-4144	805	7	,	,	PUNCT
cana-4144	805	8	)	)	PUNCT
cana-4144	805	9	)	)	PUNCT
cana-4144	806	1	0max	0max	NUM
cana-4144	806	2	g	g	NOUN
cana-4144	806	3	g	g	NOUN
cana-4144	807	1			PROPN
cana-4144	808	1	=	=	PROPN
cana-4144	808	2	ü	ü	PROPN
cana-4144	808	3	for	for	ADP
cana-4144	808	4	all	all	PRON
cana-4144	808	5	g	g	PROPN
cana-4144	808	6	x	x	PROPN
cana-4144	808	7	.	.	PUNCT
cana-4144	809	1	the	the	DET
cana-4144	809	2	only	only	ADJ
cana-4144	809	3	way	way	NOUN
cana-4144	809	4	for	for	ADP
cana-4144	809	5	for	for	ADP
cana-4144	809	6	this	this	DET
cana-4144	809	7	equality	equality	NOUN
cana-4144	809	8	to	to	PART
cana-4144	809	9	hold	hold	VERB
cana-4144	809	10	is	be	AUX
cana-4144	809	11	if	if	SCONJ
cana-4144	809	12	(	(	PUNCT
cana-4144	809	13	,	,	PUNCT
cana-4144	809	14	)	)	PUNCT
cana-4144	809	15	0	0	PUNCT
cana-4144	809	16	g	g	NOUN
cana-4144	809	17	g	g	PROPN
cana-4144	809	18	=	=	PUNCT
cana-4144	809	19	for	for	ADP
cana-4144	809	20	all	all	PRON
cana-4144	809	21	g	g	PROPN
cana-4144	809	22	x	x	PROPN
cana-4144	809	23	.	.	PUNCT
cana-4144	810	1	therefore	therefore	ADV
cana-4144	810	2	2ü	2ü	NOUN
cana-4144	810	3	is	be	AUX
cana-4144	810	4	antireflexive	antireflexive	ADJ
cana-4144	810	5	.	.	PUNCT
cana-4144	811	1	conversely	conversely	ADV
cana-4144	811	2	,	,	PUNCT
cana-4144	811	3	assume	assume	VERB
cana-4144	811	4	2ü	2ü	NOUN
cana-4144	811	5	is	be	AUX
cana-4144	811	6	antireflexive	antireflexive	ADJ
cana-4144	811	7	.	.	PUNCT
cana-4144	812	1	this	this	PRON
cana-4144	812	2	means	mean	VERB
cana-4144	812	3	2	2	NUM
cana-4144	812	4	(	(	PUNCT
cana-4144	812	5	,	,	PUNCT
cana-4144	812	6	)	)	PUNCT
cana-4144	812	7	0	0	NUM
cana-4144	812	8	g	g	NOUN
cana-4144	812	9	g	g	NOUN
cana-4144	812	10			PROPN
cana-4144	812	11	=	=	PROPN
cana-4144	812	12	ü	ü	PROPN
cana-4144	812	13	for	for	ADP
cana-4144	812	14	all	all	PRON
cana-4144	812	15	g	g	PROPN
cana-4144	812	16	x	x	PROPN
cana-4144	812	17	.	.	PUNCT
cana-4144	813	1	we	we	PRON
cana-4144	813	2	need	need	VERB
cana-4144	813	3	to	to	PART
cana-4144	813	4	show	show	VERB
cana-4144	813	5	that	that	SCONJ
cana-4144	813	6	1	1	NUM
cana-4144	813	7	2	2	NUM
cana-4144	813	8	ü	ü	NOUN
cana-4144	813	9	ü	ü	PROPN
cana-4144	813	10	is	be	AUX
cana-4144	813	11	antireflexive	antireflexive	ADJ
cana-4144	813	12	.	.	PUNCT
cana-4144	814	1	for	for	ADP
cana-4144	814	2	1	1	NUM
cana-4144	814	3	2	2	NUM
cana-4144	814	4	ü	ü	NOUN
cana-4144	814	5	ü	ü	NOUN
cana-4144	814	6	to	to	PART
cana-4144	814	7	be	be	AUX
cana-4144	814	8	antireflexive	antireflexive	ADJ
cana-4144	814	9	,	,	PUNCT
cana-4144	814	10	we	we	PRON
cana-4144	814	11	require	require	VERB
cana-4144	814	12	1	1	NUM
cana-4144	814	13	2	2	NUM
cana-4144	814	14	(	(	PUNCT
cana-4144	814	15	,	,	PUNCT
cana-4144	814	16	)	)	PUNCT
cana-4144	814	17	0	0	NUM
cana-4144	814	18	g	g	NOUN
cana-4144	814	19	g	g	NUM
cana-4144	815	1			PROPN
cana-4144	815	2			PROPN
cana-4144	815	3	=	=	SYM
cana-4144	815	4	ü	ü	PROPN
cana-4144	815	5	ü	ü	PROPN
cana-4144	815	6	for	for	ADP
cana-4144	815	7	all	all	PRON
cana-4144	815	8	g	g	PROPN
cana-4144	815	9	x	x	PROPN
cana-4144	815	10	.	.	PUNCT
cana-4144	816	1	by	by	ADP
cana-4144	816	2	the	the	DET
cana-4144	816	3	definition	definition	NOUN
cana-4144	816	4	of	of	ADP
cana-4144	816	5	union	union	NOUN
cana-4144	816	6	of	of	ADP
cana-4144	816	7	signed	sign	VERB
cana-4144	816	8	-	-	PUNCT
cana-4144	816	9	frs	frs	ADJ
cana-4144	816	10	,	,	PUNCT
cana-4144	816	11	we	we	PRON
cana-4144	816	12	have	have	VERB
cana-4144	816	13	communications	communication	NOUN
cana-4144	816	14	on	on	ADP
cana-4144	816	15	applied	apply	VERB
cana-4144	816	16	nonlinear	nonlinear	ADJ
cana-4144	816	17	analysis	analysis	NOUN
cana-4144	816	18	issn	issn	NOUN
cana-4144	816	19	:	:	PUNCT
cana-4144	816	20	1074	1074	NUM
cana-4144	816	21	-	-	PUNCT
cana-4144	816	22	133x	133x	NUM
cana-4144	816	23	vol	vol	NOUN
cana-4144	816	24	x	x	NOUN
cana-4144	816	25	no	no	INTJ
cana-4144	816	26	.	.	PUNCT
cana-4144	817	1	y	y	PROPN
cana-4144	817	2	(	(	PUNCT
cana-4144	817	3	2025	2025	NUM
cana-4144	817	4	)	)	PUNCT
cana-4144	817	5	1343	1343	NUM
cana-4144	817	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	817	7	1	1	NUM
cana-4144	817	8	2	2	NUM
cana-4144	817	9	1	1	NUM
cana-4144	817	10	2	2	NUM
cana-4144	817	11	(	(	PUNCT
cana-4144	817	12	(	(	PUNCT
cana-4144	817	13	,	,	PUNCT
cana-4144	817	14	)	)	PUNCT
cana-4144	817	15	,	,	PUNCT
cana-4144	817	16	(	(	PUNCT
cana-4144	817	17	,	,	PUNCT
cana-4144	817	18	)	)	PUNCT
cana-4144	817	19	)	)	PUNCT
cana-4144	818	1	max	max	PROPN
cana-4144	818	2	g	g	PROPN
cana-4144	818	3	g	g	PROPN
cana-4144	818	4	g	g	PROPN
cana-4144	818	5	g	g	NOUN
cana-4144	818	6			NOUN
cana-4144	818	7			NOUN
cana-4144	819	1			PROPN
cana-4144	819	2			PROPN
cana-4144	820	1			PROPN
cana-4144	820	2			PROPN
cana-4144	821	1	=	=	SYM
cana-4144	821	2	ü	ü	NOUN
cana-4144	821	3	ü	ü	NOUN
cana-4144	821	4	ü	ü	NOUN
cana-4144	821	5	ü	ü	PROPN
cana-4144	821	6	.	.	PUNCT
cana-4144	822	1	since	since	SCONJ
cana-4144	822	2	both	both	CCONJ
cana-4144	822	3	1ü	1ü	NOUN
cana-4144	822	4	and	and	CCONJ
cana-4144	822	5	2ü	2ü	NOUN
cana-4144	822	6	are	be	AUX
cana-4144	822	7	reflexive	reflexive	ADJ
cana-4144	822	8	,	,	PUNCT
cana-4144	822	9	we	we	PRON
cana-4144	822	10	have	have	VERB
cana-4144	822	11	1	1	NUM
cana-4144	822	12	(	(	PUNCT
cana-4144	822	13	,	,	PUNCT
cana-4144	822	14	)	)	PUNCT
cana-4144	822	15	0	0	NUM
cana-4144	823	1	g	g	NOUN
cana-4144	823	2	g	g	NOUN
cana-4144	823	3			PROPN
cana-4144	823	4	=	=	PROPN
cana-4144	823	5	ü	ü	PROPN
cana-4144	823	6	and	and	CCONJ
cana-4144	823	7	2	2	NUM
cana-4144	823	8	(	(	PUNCT
cana-4144	823	9	,	,	PUNCT
cana-4144	823	10	)	)	PUNCT
cana-4144	823	11	0	0	NUM
cana-4144	823	12	g	g	NOUN
cana-4144	823	13	g	g	NOUN
cana-4144	824	1			PROPN
cana-4144	824	2	=	=	PROPN
cana-4144	824	3	ü	ü	PROPN
cana-4144	824	4	for	for	ADP
cana-4144	824	5	all	all	PRON
cana-4144	824	6	g	g	PROPN
cana-4144	824	7	x	x	PROPN
cana-4144	824	8	.	.	PUNCT
cana-4144	825	1	thus	thus	ADV
cana-4144	825	2	(	(	PUNCT
cana-4144	825	3	0,0	0,0	NOUN
cana-4144	825	4	)	)	PUNCT
cana-4144	825	5	0max	0max	NOUN
cana-4144	826	1	=	=	PUNCT
cana-4144	826	2	for	for	ADP
cana-4144	826	3	all	all	PRON
cana-4144	826	4	g	g	PROPN
cana-4144	826	5	x	x	PROPN
cana-4144	826	6	.	.	PUNCT
cana-4144	827	1	therefore	therefore	ADV
cana-4144	827	2	1	1	NUM
cana-4144	827	3	2	2	NUM
cana-4144	827	4	(	(	PUNCT
cana-4144	827	5	,	,	PUNCT
cana-4144	827	6	)	)	PUNCT
cana-4144	827	7	0	0	NUM
cana-4144	827	8	g	g	NOUN
cana-4144	827	9	g	g	NUM
cana-4144	828	1			PROPN
cana-4144	828	2			PROPN
cana-4144	828	3	=	=	SYM
cana-4144	828	4	ü	ü	PROPN
cana-4144	828	5	ü	ü	PROPN
cana-4144	828	6	for	for	ADP
cana-4144	828	7	all	all	PRON
cana-4144	828	8	g	g	PROPN
cana-4144	828	9	x	x	PROPN
cana-4144	828	10	.	.	PUNCT
cana-4144	829	1	hence	hence	ADV
cana-4144	829	2	1	1	NUM
cana-4144	829	3	2	2	NUM
cana-4144	829	4	ü	ü	NOUN
cana-4144	829	5	ü	ü	PROPN
cana-4144	829	6	is	be	AUX
cana-4144	829	7	antireflexive	antireflexive	ADJ
cana-4144	829	8	.	.	PUNCT
cana-4144	830	1	3	3	X
cana-4144	830	2	.	.	X
cana-4144	830	3	since	since	SCONJ
cana-4144	830	4	1ü	1ü	PROPN
cana-4144	830	5	is	be	AUX
cana-4144	830	6	antireflexive	antireflexive	ADJ
cana-4144	830	7	,	,	PUNCT
cana-4144	830	8	we	we	PRON
cana-4144	830	9	have	have	VERB
cana-4144	830	10	1	1	NUM
cana-4144	830	11	(	(	PUNCT
cana-4144	830	12	,	,	PUNCT
cana-4144	830	13	)	)	PUNCT
cana-4144	830	14	0	0	NUM
cana-4144	830	15	g	g	NOUN
cana-4144	830	16	g	g	NOUN
cana-4144	831	1			PROPN
cana-4144	831	2	=	=	PROPN
cana-4144	831	3	ü	ü	PROPN
cana-4144	831	4	for	for	ADP
cana-4144	831	5	all	all	PRON
cana-4144	831	6	g	g	PROPN
cana-4144	831	7	x	x	PROPN
cana-4144	831	8	.	.	PUNCT
cana-4144	832	1	we	we	PRON
cana-4144	832	2	need	need	VERB
cana-4144	832	3	to	to	PART
cana-4144	832	4	show	show	VERB
cana-4144	832	5	that	that	SCONJ
cana-4144	832	6	1	1	NUM
cana-4144	832	7	2	2	NUM
cana-4144	832	8	ü	ü	NOUN
cana-4144	832	9	ü	ü	PROPN
cana-4144	832	10	is	be	AUX
cana-4144	832	11	antireflexive	antireflexive	ADJ
cana-4144	832	12	.	.	PUNCT
cana-4144	833	1	for	for	SCONJ
cana-4144	833	2	1	1	NUM
cana-4144	833	3	2	2	NUM
cana-4144	833	4	ü	ü	NOUN
cana-4144	833	5	ü	ü	NOUN
cana-4144	833	6	to	to	PART
cana-4144	833	7	be	be	AUX
cana-4144	833	8	antireflexive	antireflexive	ADJ
cana-4144	833	9	.	.	PUNCT
cana-4144	834	1	we	we	PRON
cana-4144	834	2	require	require	VERB
cana-4144	834	3	1	1	NUM
cana-4144	834	4	2	2	NUM
cana-4144	834	5	(	(	PUNCT
cana-4144	834	6	,	,	PUNCT
cana-4144	834	7	)	)	PUNCT
cana-4144	834	8	0	0	NUM
cana-4144	834	9	g	g	NOUN
cana-4144	834	10	g	g	NOUN
cana-4144	835	1			PROPN
cana-4144	835	2			PROPN
cana-4144	835	3	=	=	SYM
cana-4144	835	4	ü	ü	PROPN
cana-4144	835	5	ü	ü	PROPN
cana-4144	835	6	for	for	ADP
cana-4144	835	7	all	all	PRON
cana-4144	835	8	g	g	PROPN
cana-4144	835	9	x	x	PROPN
cana-4144	835	10	.	.	PUNCT
cana-4144	836	1	by	by	ADP
cana-4144	836	2	the	the	DET
cana-4144	836	3	definition	definition	NOUN
cana-4144	836	4	of	of	ADP
cana-4144	836	5	the	the	DET
cana-4144	836	6	intersection	intersection	NOUN
cana-4144	836	7	of	of	ADP
cana-4144	836	8	signed	sign	VERB
cana-4144	836	9	-	-	PUNCT
cana-4144	836	10	frs	frs	ADJ
cana-4144	836	11	,	,	PUNCT
cana-4144	836	12	the	the	DET
cana-4144	836	13	membership	membership	NOUN
cana-4144	836	14	grade	grade	NOUN
cana-4144	836	15	of	of	ADP
cana-4144	836	16	(	(	PUNCT
cana-4144	836	17	,	,	PUNCT
cana-4144	836	18	)	)	PUNCT
cana-4144	836	19	g	g	NOUN
cana-4144	836	20	g	g	NOUN
cana-4144	836	21	in	in	ADP
cana-4144	836	22	1	1	NUM
cana-4144	836	23	2	2	NUM
cana-4144	836	24	ü	ü	NOUN
cana-4144	836	25	ü	ü	PROPN
cana-4144	836	26	is	be	AUX
cana-4144	836	27	1	1	NUM
cana-4144	836	28	2	2	NUM
cana-4144	836	29	1	1	NUM
cana-4144	836	30	2	2	NUM
cana-4144	836	31	(	(	PUNCT
cana-4144	836	32	,	,	PUNCT
cana-4144	836	33	)	)	PUNCT
cana-4144	836	34	(	(	PUNCT
cana-4144	836	35	(	(	PUNCT
cana-4144	836	36	,	,	PUNCT
cana-4144	836	37	)	)	PUNCT
cana-4144	836	38	,	,	PUNCT
cana-4144	836	39	(	(	PUNCT
cana-4144	836	40	,	,	PUNCT
cana-4144	836	41	)	)	PUNCT
cana-4144	836	42	)	)	PUNCT
cana-4144	837	1	g	g	PROPN
cana-4144	837	2	g	g	PROPN
cana-4144	837	3	min	min	PROPN
cana-4144	837	4	g	g	PROPN
cana-4144	837	5	g	g	PROPN
cana-4144	837	6	g	g	NOUN
cana-4144	837	7	g	g	NOUN
cana-4144	837	8			NOUN
cana-4144	838	1			PROPN
cana-4144	838	2			PROPN
cana-4144	839	1			PROPN
cana-4144	839	2	=ü	=ü	NOUN
cana-4144	840	1	ü	ü	INTJ
cana-4144	840	2	ü	ü	NOUN
cana-4144	840	3	ü	ü	PROPN
cana-4144	840	4	for	for	ADP
cana-4144	840	5	all	all	PRON
cana-4144	840	6	g	g	PROPN
cana-4144	840	7	x	x	PROPN
cana-4144	840	8	.	.	PUNCT
cana-4144	841	1	since	since	SCONJ
cana-4144	841	2	1	1	NUM
cana-4144	841	3	(	(	PUNCT
cana-4144	841	4	,	,	PUNCT
cana-4144	841	5	)	)	PUNCT
cana-4144	841	6	0	0	NUM
cana-4144	841	7	g	g	NOUN
cana-4144	841	8	g	g	NOUN
cana-4144	841	9			PROPN
cana-4144	841	10	=	=	PROPN
cana-4144	841	11	ü	ü	PROPN
cana-4144	841	12	for	for	ADP
cana-4144	841	13	all	all	PRON
cana-4144	841	14	g	g	PROPN
cana-4144	841	15	x	x	PROPN
cana-4144	841	16	,	,	PUNCT
cana-4144	841	17	we	we	PRON
cana-4144	841	18	have	have	VERB
cana-4144	841	19	2	2	NUM
cana-4144	841	20	(	(	PUNCT
cana-4144	841	21	0	0	NUM
cana-4144	841	22	,	,	PUNCT
cana-4144	841	23	(	(	PUNCT
cana-4144	841	24	,	,	PUNCT
cana-4144	841	25	)	)	PUNCT
cana-4144	841	26	)	)	PUNCT
cana-4144	842	1	0min	0min	PROPN
cana-4144	843	1	g	g	PROPN
cana-4144	843	2	g	g	X
cana-4144	844	1			PROPN
cana-4144	844	2	=	=	PROPN
cana-4144	844	3	ü	ü	PROPN
cana-4144	844	4	for	for	ADP
cana-4144	844	5	all	all	PRON
cana-4144	844	6	g	g	PROPN
cana-4144	844	7	x	x	PROPN
cana-4144	844	8	.	.	PUNCT
cana-4144	845	1	thus	thus	ADV
cana-4144	845	2	1	1	NUM
cana-4144	845	3	2	2	NUM
cana-4144	845	4	ü	ü	NOUN
cana-4144	845	5	ü	ü	PROPN
cana-4144	845	6	is	be	AUX
cana-4144	845	7	1	1	NUM
cana-4144	845	8	2	2	NUM
cana-4144	845	9	(	(	PUNCT
cana-4144	845	10	,	,	PUNCT
cana-4144	845	11	)	)	PUNCT
cana-4144	845	12	0	0	NUM
cana-4144	845	13	g	g	NOUN
cana-4144	845	14	g	g	NOUN
cana-4144	846	1			PROPN
cana-4144	846	2			PROPN
cana-4144	846	3	=	=	SYM
cana-4144	846	4	ü	ü	PROPN
cana-4144	846	5	ü	ü	PROPN
cana-4144	846	6	for	for	ADP
cana-4144	846	7	all	all	PRON
cana-4144	846	8	g	g	PROPN
cana-4144	846	9	x	x	PROPN
cana-4144	846	10	.	.	PUNCT
cana-4144	847	1	therefore	therefore	ADV
cana-4144	847	2	1	1	NUM
cana-4144	847	3	2	2	NUM
cana-4144	847	4	ü	ü	NOUN
cana-4144	847	5	ü	ü	PROPN
cana-4144	847	6	is	be	AUX
cana-4144	847	7	antireflexive	antireflexive	ADJ
cana-4144	847	8	.	.	PUNCT
cana-4144	848	1	definition	definition	NOUN
cana-4144	848	2	4.3	4.3	NUM
cana-4144	848	3	.	.	PUNCT
cana-4144	849	1	if	if	SCONJ
cana-4144	849	2	ü	ü	NOUN
cana-4144	849	3	in	in	ADP
cana-4144	849	4	x	x	PROPN
cana-4144	849	5	x	x	NOUN
cana-4144	849	6	is	be	AUX
cana-4144	849	7	a	a	DET
cana-4144	849	8	signed	sign	VERB
cana-4144	849	9	-	-	PUNCT
cana-4144	849	10	fr	fr	NOUN
cana-4144	849	11	,	,	PUNCT
cana-4144	849	12	then	then	ADV
cana-4144	849	13	ü	ü	PROPN
cana-4144	849	14	is	be	AUX
cana-4144	849	15	symmetric	symmetric	ADJ
cana-4144	849	16	if	if	SCONJ
cana-4144	849	17	and	and	CCONJ
cana-4144	849	18	only	only	ADV
cana-4144	849	19	if	if	SCONJ
cana-4144	849	20	(	(	PUNCT
cana-4144	849	21	,	,	PUNCT
cana-4144	849	22	)	)	PUNCT
cana-4144	849	23	(	(	PUNCT
cana-4144	849	24	,	,	PUNCT
cana-4144	849	25	)	)	PUNCT
cana-4144	849	26	,	,	PUNCT
cana-4144	849	27	,	,	PUNCT
cana-4144	850	1	g	g	PROPN
cana-4144	850	2	h	h	NOUN
cana-4144	850	3	h	h	NOUN
cana-4144	850	4	g	g	PROPN
cana-4144	850	5	g	g	PROPN
cana-4144	850	6	h	h	NOUN
cana-4144	850	7	x	x	NUM
cana-4144	850	8			NOUN
cana-4144	851	1			PROPN
cana-4144	851	2			PROPN
cana-4144	851	3	=	=	PUNCT
cana-4144	851	4			NOUN
cana-4144	851	5	ü	ü	NOUN
cana-4144	851	6	ü	ü	NOUN
cana-4144	851	7	.	.	PUNCT
cana-4144	852	1	definition	definition	NOUN
cana-4144	852	2	4.4	4.4	NUM
cana-4144	852	3	.	.	PUNCT
cana-4144	853	1	if	if	SCONJ
cana-4144	853	2	ü	ü	NOUN
cana-4144	853	3	in	in	ADP
cana-4144	853	4	x	x	PROPN
cana-4144	853	5	x	x	NOUN
cana-4144	853	6	is	be	AUX
cana-4144	853	7	a	a	DET
cana-4144	853	8	signed	sign	VERB
cana-4144	853	9	-	-	PUNCT
cana-4144	853	10	fr	fr	NOUN
cana-4144	853	11	,	,	PUNCT
cana-4144	853	12	then	then	ADV
cana-4144	853	13	ü	ü	PROPN
cana-4144	853	14	is	be	AUX
cana-4144	853	15	antisymmetric	antisymmetric	ADJ
cana-4144	853	16	if	if	SCONJ
cana-4144	853	17	and	and	CCONJ
cana-4144	853	18	only	only	ADV
cana-4144	853	19	if	if	SCONJ
cana-4144	853	20	(	(	PUNCT
cana-4144	853	21	,	,	PUNCT
cana-4144	853	22	)	)	PUNCT
cana-4144	853	23	0	0	PUNCT
cana-4144	854	1	g	g	NOUN
cana-4144	854	2	h	h	PROPN
cana-4144	855	1			PROPN
cana-4144	855	2	ü	ü	PROPN
cana-4144	855	3	then	then	ADV
cana-4144	855	4	(	(	PUNCT
cana-4144	855	5	,	,	PUNCT
cana-4144	855	6	)	)	PUNCT
cana-4144	855	7	0	0	NUM
cana-4144	855	8	,	,	PUNCT
cana-4144	855	9	,	,	PUNCT
cana-4144	855	10	,	,	PUNCT
cana-4144	856	1	h	h	NOUN
cana-4144	856	2	g	g	NOUN
cana-4144	856	3	g	g	PROPN
cana-4144	856	4	h	h	NOUN
cana-4144	856	5	x	x	NOUN
cana-4144	857	1	g	g	NOUN
cana-4144	857	2	h	h	PROPN
cana-4144	857	3			PROPN
cana-4144	857	4	=	=	PUNCT
cana-4144	858	1			PROPN
cana-4144	858	2	ü	ü	NUM
cana-4144	858	3	.	.	PUNCT
cana-4144	859	1	theorem	theorem	VERB
cana-4144	859	2	4.3	4.3	NUM
cana-4144	859	3	.	.	PUNCT
cana-4144	860	1	let	let	VERB
cana-4144	860	2	ü	ü	NOUN
cana-4144	860	3	in	in	ADP
cana-4144	860	4	(	(	PUNCT
cana-4144	860	5	)	)	PUNCT
cana-4144	860	6	signed	sign	VERB
cana-4144	860	7	fr	fr	PROPN
cana-4144	860	8	x−	x−	PROPN
cana-4144	860	9	.	.	PUNCT
cana-4144	861	1	then	then	ADV
cana-4144	861	2	ü	ü	PROPN
cana-4144	861	3	is	be	AUX
cana-4144	861	4	symmetric	symmetric	ADJ
cana-4144	861	5	if	if	SCONJ
cana-4144	862	1	and	and	CCONJ
cana-4144	862	2	only	only	ADV
cana-4144	862	3	if	if	SCONJ
cana-4144	862	4	1−	1−	NUM
cana-4144	862	5			PROPN
cana-4144	862	6	=ü	=ü	NOUN
cana-4144	863	1	ü	ü	INTJ
cana-4144	863	2	.	.	PUNCT
cana-4144	864	1	proof	proof	NOUN
cana-4144	864	2	.	.	PUNCT
cana-4144	865	1	assume	assume	VERB
cana-4144	865	2	ü	ü	PROPN
cana-4144	865	3	is	be	AUX
cana-4144	865	4	symmetric	symmetric	ADJ
cana-4144	865	5	.	.	PUNCT
cana-4144	866	1	this	this	PRON
cana-4144	866	2	means	mean	VERB
cana-4144	866	3	that	that	SCONJ
cana-4144	866	4	(	(	PUNCT
cana-4144	866	5	,	,	PUNCT
cana-4144	866	6	)	)	PUNCT
cana-4144	866	7	(	(	PUNCT
cana-4144	866	8	,	,	PUNCT
cana-4144	866	9	)	)	PUNCT
cana-4144	866	10	g	g	NOUN
cana-4144	866	11	h	h	NOUN
cana-4144	866	12	h	h	NOUN
cana-4144	866	13	g	g	NOUN
cana-4144	866	14			NOUN
cana-4144	866	15			PROPN
cana-4144	866	16			PROPN
cana-4144	866	17	=	=	PROPN
cana-4144	866	18	ü	ü	PROPN
cana-4144	866	19	ü	ü	PROPN
cana-4144	866	20	for	for	ADP
cana-4144	866	21	all	all	PRON
cana-4144	866	22	,	,	PUNCT
cana-4144	866	23	g	g	PROPN
cana-4144	866	24	h	h	NOUN
cana-4144	866	25	x	x	PROPN
cana-4144	866	26	.	.	PUNCT
cana-4144	867	1	by	by	ADP
cana-4144	867	2	inverse	inverse	NOUN
cana-4144	867	3	signed	sign	VERB
cana-4144	867	4	-	-	PUNCT
cana-4144	867	5	fr	fr	NOUN
cana-4144	867	6	,	,	PUNCT
cana-4144	867	7	we	we	PRON
cana-4144	867	8	have	have	VERB
cana-4144	867	9	1	1	NUM
cana-4144	867	10	(	(	PUNCT
cana-4144	867	11	,	,	PUNCT
cana-4144	867	12	)	)	PUNCT
cana-4144	867	13	(	(	PUNCT
cana-4144	867	14	,	,	PUNCT
cana-4144	867	15	)	)	PUNCT
cana-4144	867	16	h	h	NOUN
cana-4144	868	1	g	g	NOUN
cana-4144	868	2	g	g	PROPN
cana-4144	868	3	h	h	X
cana-4144	868	4			NOUN
cana-4144	869	1			PROPN
cana-4144	869	2			PROPN
cana-4144	869	3	−	−	PROPN
cana-4144	870	1	=	=	SYM
cana-4144	870	2	ü	ü	PROPN
cana-4144	870	3	ü	ü	PROPN
cana-4144	870	4	for	for	ADP
cana-4144	870	5	all	all	PRON
cana-4144	870	6	,	,	PUNCT
cana-4144	870	7	g	g	PROPN
cana-4144	870	8	h	h	NOUN
cana-4144	870	9	x	x	PROPN
cana-4144	870	10	.	.	PUNCT
cana-4144	871	1	since	since	SCONJ
cana-4144	871	2	ü	ü	NOUN
cana-4144	871	3	is	be	AUX
cana-4144	871	4	symmetric	symmetric	ADJ
cana-4144	871	5	,	,	PUNCT
cana-4144	871	6	it	it	PRON
cana-4144	871	7	follows	follow	VERB
cana-4144	871	8	that	that	SCONJ
cana-4144	871	9	(	(	PUNCT
cana-4144	871	10	,	,	PUNCT
cana-4144	871	11	)	)	PUNCT
cana-4144	871	12	(	(	PUNCT
cana-4144	871	13	,	,	PUNCT
cana-4144	871	14	)	)	PUNCT
cana-4144	871	15	g	g	NOUN
cana-4144	871	16	h	h	NOUN
cana-4144	871	17	h	h	NOUN
cana-4144	871	18	g	g	NOUN
cana-4144	871	19			NOUN
cana-4144	871	20			PROPN
cana-4144	871	21			PROPN
cana-4144	871	22	=	=	PROPN
cana-4144	871	23	ü	ü	PROPN
cana-4144	871	24	ü	ü	PROPN
cana-4144	871	25	for	for	ADP
cana-4144	871	26	all	all	PRON
cana-4144	871	27	,	,	PUNCT
cana-4144	871	28	g	g	PROPN
cana-4144	871	29	h	h	NOUN
cana-4144	871	30	x	x	PROPN
cana-4144	871	31	.	.	PUNCT
cana-4144	872	1	therefore	therefore	ADV
cana-4144	872	2	1	1	NUM
cana-4144	872	3	(	(	PUNCT
cana-4144	872	4	,	,	PUNCT
cana-4144	872	5	)	)	PUNCT
cana-4144	872	6	(	(	PUNCT
cana-4144	872	7	,	,	PUNCT
cana-4144	872	8	)	)	PUNCT
cana-4144	872	9	g	g	NOUN
cana-4144	872	10	h	h	NOUN
cana-4144	872	11	g	g	NOUN
cana-4144	872	12	h	h	X
cana-4144	872	13			NOUN
cana-4144	872	14			PROPN
cana-4144	872	15			PROPN
cana-4144	872	16	−	−	PROPN
cana-4144	873	1	=	=	SYM
cana-4144	873	2	ü	ü	PROPN
cana-4144	873	3	ü	ü	PROPN
cana-4144	873	4	for	for	ADP
cana-4144	873	5	all	all	PRON
cana-4144	873	6	,	,	PUNCT
cana-4144	873	7	g	g	PROPN
cana-4144	873	8	h	h	NOUN
cana-4144	873	9	x	x	PROPN
cana-4144	873	10	.	.	PUNCT
cana-4144	874	1	hence	hence	ADV
cana-4144	874	2	1−	1−	NUM
cana-4144	875	1			PROPN
cana-4144	875	2	=ü	=ü	PROPN
cana-4144	876	1	ü	ü	INTJ
cana-4144	876	2	.	.	PUNCT
cana-4144	877	1	conversely	conversely	ADV
cana-4144	877	2	,	,	PUNCT
cana-4144	877	3	assume	assume	VERB
cana-4144	877	4	1−	1−	NUM
cana-4144	878	1			PROPN
cana-4144	878	2	=ü	=ü	NOUN
cana-4144	879	1	ü	ü	INTJ
cana-4144	879	2	.	.	PUNCT
cana-4144	880	1	this	this	PRON
cana-4144	880	2	means	mean	VERB
cana-4144	880	3	that	that	SCONJ
cana-4144	880	4	1	1	NUM
cana-4144	880	5	(	(	PUNCT
cana-4144	880	6	,	,	PUNCT
cana-4144	880	7	)	)	PUNCT
cana-4144	880	8	(	(	PUNCT
cana-4144	880	9	,	,	PUNCT
cana-4144	880	10	)	)	PUNCT
cana-4144	881	1	g	g	NOUN
cana-4144	881	2	h	h	NOUN
cana-4144	881	3	g	g	NOUN
cana-4144	881	4	h	h	PROPN
cana-4144	881	5			NOUN
cana-4144	881	6	−	−	NOUN
cana-4144	882	1			PROPN
cana-4144	882	2			PROPN
cana-4144	882	3	=	=	PROPN
cana-4144	882	4	ü	ü	PROPN
cana-4144	882	5	ü	ü	PROPN
cana-4144	882	6	for	for	ADP
cana-4144	882	7	all	all	PRON
cana-4144	882	8	,	,	PUNCT
cana-4144	882	9	g	g	PROPN
cana-4144	882	10	h	h	NOUN
cana-4144	882	11	x	x	PROPN
cana-4144	882	12	.	.	PUNCT
cana-4144	883	1	by	by	ADP
cana-4144	883	2	inverse	inverse	NOUN
cana-4144	883	3	signed	sign	VERB
cana-4144	883	4	-	-	PUNCT
cana-4144	883	5	fr	fr	NOUN
cana-4144	883	6	,	,	PUNCT
cana-4144	883	7	we	we	PRON
cana-4144	883	8	have	have	VERB
cana-4144	883	9	1	1	NUM
cana-4144	883	10	(	(	PUNCT
cana-4144	883	11	,	,	PUNCT
cana-4144	883	12	)	)	PUNCT
cana-4144	883	13	(	(	PUNCT
cana-4144	883	14	,	,	PUNCT
cana-4144	883	15	)	)	PUNCT
cana-4144	883	16	g	g	NOUN
cana-4144	883	17	h	h	NOUN
cana-4144	883	18	g	g	PROPN
cana-4144	883	19	h	h	PROPN
cana-4144	883	20	−	−	NOUN
cana-4144	883	21			X
cana-4144	883	22	=	=	SYM
cana-4144	883	23	üü	üü	PROPN
cana-4144	883	24	for	for	ADP
cana-4144	883	25	all	all	PRON
cana-4144	883	26	,	,	PUNCT
cana-4144	883	27	g	g	PROPN
cana-4144	883	28	h	h	NOUN
cana-4144	883	29	x	x	PROPN
cana-4144	883	30	.	.	PUNCT
cana-4144	884	1	since	since	SCONJ
cana-4144	884	2	1−	1−	NUM
cana-4144	884	3			PROPN
cana-4144	884	4	=ü	=ü	PROPN
cana-4144	885	1	ü	ü	NOUN
cana-4144	885	2	,	,	PUNCT
cana-4144	885	3	it	it	PRON
cana-4144	885	4	follows	follow	VERB
cana-4144	885	5	that	that	SCONJ
cana-4144	885	6	(	(	PUNCT
cana-4144	885	7	,	,	PUNCT
cana-4144	885	8	)	)	PUNCT
cana-4144	885	9	(	(	PUNCT
cana-4144	885	10	,	,	PUNCT
cana-4144	885	11	)	)	PUNCT
cana-4144	885	12	g	g	NOUN
cana-4144	885	13	h	h	NOUN
cana-4144	885	14	h	h	NOUN
cana-4144	885	15	g	g	NOUN
cana-4144	885	16			NOUN
cana-4144	885	17			PROPN
cana-4144	885	18			PROPN
cana-4144	885	19	=	=	PROPN
cana-4144	885	20	ü	ü	PROPN
cana-4144	885	21	ü	ü	PROPN
cana-4144	885	22	for	for	ADP
cana-4144	885	23	all	all	PRON
cana-4144	885	24	,	,	PUNCT
cana-4144	885	25	g	g	PROPN
cana-4144	885	26	h	h	NOUN
cana-4144	885	27	x	x	PROPN
cana-4144	885	28	.	.	PUNCT
cana-4144	886	1	therefore	therefore	ADV
cana-4144	886	2	ü	ü	PROPN
cana-4144	886	3	is	be	AUX
cana-4144	886	4	symmetric	symmetric	ADJ
cana-4144	886	5	.	.	PUNCT
cana-4144	887	1	theorem	theorem	NOUN
cana-4144	887	2	4.4	4.4	NUM
cana-4144	887	3	.	.	PUNCT
cana-4144	888	1	let	let	VERB
cana-4144	888	2	1ü	1ü	NOUN
cana-4144	888	3	,	,	PUNCT
cana-4144	888	4	2ü	2ü	ADP
cana-4144	888	5	in	in	ADP
cana-4144	888	6	signed	sign	VERB
cana-4144	888	7	-	-	PUNCT
cana-4144	888	8	fr(x	fr(x	NUM
cana-4144	888	9	)	)	PUNCT
cana-4144	888	10	.	.	PUNCT
cana-4144	889	1	then	then	ADV
cana-4144	889	2	1ü	1ü	NOUN
cana-4144	889	3	and	and	CCONJ
cana-4144	889	4	2ü	2ü	NOUN
cana-4144	889	5	are	be	AUX
cana-4144	889	6	symmetric	symmetric	ADJ
cana-4144	889	7	,	,	PUNCT
cana-4144	889	8	then	then	ADV
cana-4144	889	9	1	1	NUM
cana-4144	889	10	2	2	NUM
cana-4144	889	11	ü	ü	NOUN
cana-4144	889	12	ü	ü	PROPN
cana-4144	889	13	and	and	CCONJ
cana-4144	889	14	1	1	NUM
cana-4144	889	15	2	2	NUM
cana-4144	889	16	ü	ü	NOUN
cana-4144	890	1	ü	ü	PROPN
cana-4144	890	2	are	be	AUX
cana-4144	890	3	symmetric	symmetric	ADJ
cana-4144	890	4	.	.	PUNCT
cana-4144	891	1	communications	communication	NOUN
cana-4144	891	2	on	on	ADP
cana-4144	891	3	applied	apply	VERB
cana-4144	891	4	nonlinear	nonlinear	ADJ
cana-4144	891	5	analysis	analysis	NOUN
cana-4144	891	6	issn	issn	NOUN
cana-4144	891	7	:	:	PUNCT
cana-4144	891	8	1074	1074	NUM
cana-4144	891	9	-	-	PUNCT
cana-4144	891	10	133x	133x	NUM
cana-4144	891	11	vol	vol	NOUN
cana-4144	891	12	x	x	NOUN
cana-4144	891	13	no	no	INTJ
cana-4144	891	14	.	.	PUNCT
cana-4144	892	1	y	y	PROPN
cana-4144	892	2	(	(	PUNCT
cana-4144	892	3	2025	2025	NUM
cana-4144	892	4	)	)	PUNCT
cana-4144	892	5	1344	1344	NUM
cana-4144	892	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	892	7	proof	proof	NOUN
cana-4144	892	8	.	.	PUNCT
cana-4144	893	1	given	give	VERB
cana-4144	893	2	1ü	1ü	NOUN
cana-4144	893	3	and	and	CCONJ
cana-4144	893	4	2ü	2ü	NOUN
cana-4144	893	5	are	be	AUX
cana-4144	893	6	symmetric	symmetric	ADJ
cana-4144	893	7	signed	sign	VERB
cana-4144	893	8	-	-	PUNCT
cana-4144	893	9	frs	frs	NOUN
cana-4144	893	10	on	on	ADP
cana-4144	893	11	x	x	X
cana-4144	893	12	.	.	PUNCT
cana-4144	894	1	to	to	PART
cana-4144	894	2	show	show	VERB
cana-4144	894	3	that	that	SCONJ
cana-4144	894	4	1	1	NUM
cana-4144	894	5	2	2	NUM
cana-4144	894	6	ü	ü	NOUN
cana-4144	894	7	ü	ü	PROPN
cana-4144	894	8	is	be	AUX
cana-4144	894	9	symmetric	symmetric	ADJ
cana-4144	894	10	,	,	PUNCT
cana-4144	894	11	we	we	PRON
cana-4144	894	12	need	need	VERB
cana-4144	894	13	to	to	PART
cana-4144	894	14	show	show	VERB
cana-4144	894	15	that	that	SCONJ
cana-4144	894	16	for	for	ADP
cana-4144	894	17	all	all	PRON
cana-4144	894	18	,	,	PUNCT
cana-4144	894	19	g	g	PROPN
cana-4144	894	20	h	h	PROPN
cana-4144	894	21	x	x	PROPN
cana-4144	894	22	,	,	PUNCT
cana-4144	894	23	1	1	NUM
cana-4144	894	24	2	2	NUM
cana-4144	894	25	1	1	NUM
cana-4144	894	26	2	2	NUM
cana-4144	894	27	(	(	PUNCT
cana-4144	894	28	,	,	PUNCT
cana-4144	894	29	)	)	PUNCT
cana-4144	894	30	(	(	PUNCT
cana-4144	894	31	,	,	PUNCT
cana-4144	894	32	)	)	PUNCT
cana-4144	894	33	g	g	NOUN
cana-4144	894	34	h	h	NOUN
cana-4144	894	35	h	h	NOUN
cana-4144	894	36	g	g	NOUN
cana-4144	894	37			NOUN
cana-4144	895	1			PROPN
cana-4144	895	2			PROPN
cana-4144	895	3			PROPN
cana-4144	895	4			PROPN
cana-4144	895	5	=ü	=ü	X
cana-4144	895	6	ü	ü	PROPN
cana-4144	895	7	ü	ü	NOUN
cana-4144	895	8	ü	ü	PROPN
cana-4144	895	9	.	.	PUNCT
cana-4144	896	1	since	since	SCONJ
cana-4144	896	2	1ü	1ü	NOUN
cana-4144	896	3	and	and	CCONJ
cana-4144	896	4	2ü	2ü	NOUN
cana-4144	896	5	are	be	AUX
cana-4144	896	6	symmetric	symmetric	ADJ
cana-4144	896	7	,	,	PUNCT
cana-4144	896	8	we	we	PRON
cana-4144	896	9	know	know	VERB
cana-4144	896	10	1	1	NUM
cana-4144	896	11	1	1	NUM
cana-4144	896	12	(	(	PUNCT
cana-4144	896	13	,	,	PUNCT
cana-4144	896	14	)	)	PUNCT
cana-4144	896	15	(	(	PUNCT
cana-4144	896	16	,	,	PUNCT
cana-4144	896	17	)	)	PUNCT
cana-4144	896	18	g	g	NOUN
cana-4144	896	19	h	h	NOUN
cana-4144	896	20	h	h	NOUN
cana-4144	896	21	g	g	NOUN
cana-4144	896	22			NOUN
cana-4144	896	23			PROPN
cana-4144	896	24			PROPN
cana-4144	896	25	=	=	PUNCT
cana-4144	896	26	ü	ü	PROPN
cana-4144	896	27	ü	ü	NOUN
cana-4144	896	28	and	and	CCONJ
cana-4144	896	29	2	2	NUM
cana-4144	896	30	2	2	NUM
cana-4144	896	31	(	(	PUNCT
cana-4144	896	32	,	,	PUNCT
cana-4144	896	33	)	)	PUNCT
cana-4144	896	34	(	(	PUNCT
cana-4144	896	35	,	,	PUNCT
cana-4144	896	36	)	)	PUNCT
cana-4144	896	37	g	g	NOUN
cana-4144	896	38	h	h	NOUN
cana-4144	896	39	h	h	NOUN
cana-4144	896	40	g	g	NOUN
cana-4144	896	41			NOUN
cana-4144	897	1			PROPN
cana-4144	897	2			PROPN
cana-4144	897	3	=	=	PROPN
cana-4144	897	4	ü	ü	PROPN
cana-4144	897	5	ü	ü	PROPN
cana-4144	897	6	for	for	ADP
cana-4144	897	7	all	all	PRON
cana-4144	897	8	,	,	PUNCT
cana-4144	897	9	g	g	PROPN
cana-4144	897	10	h	h	NOUN
cana-4144	897	11	x	x	PROPN
cana-4144	897	12	.	.	PUNCT
cana-4144	898	1	therefore	therefore	ADV
cana-4144	898	2	1	1	NUM
cana-4144	898	3	2	2	NUM
cana-4144	898	4	ü	ü	NOUN
cana-4144	898	5	ü	ü	PROPN
cana-4144	898	6	is	be	AUX
cana-4144	898	7	symmetric	symmetric	ADJ
cana-4144	898	8	.	.	PUNCT
cana-4144	899	1	similarly	similarly	ADV
cana-4144	899	2	,	,	PUNCT
cana-4144	899	3	we	we	PRON
cana-4144	899	4	can	can	AUX
cana-4144	899	5	show	show	VERB
cana-4144	899	6	that	that	SCONJ
cana-4144	899	7	1	1	NUM
cana-4144	899	8	2	2	NUM
cana-4144	899	9	ü	ü	NOUN
cana-4144	899	10	ü	ü	PROPN
cana-4144	899	11	is	be	AUX
cana-4144	899	12	symmetric	symmetric	ADJ
cana-4144	899	13	.	.	PUNCT
cana-4144	900	1	definition	definition	NOUN
cana-4144	900	2	4.5	4.5	NUM
cana-4144	900	3	.	.	PUNCT
cana-4144	901	1	if	if	SCONJ
cana-4144	901	2	ü	ü	NOUN
cana-4144	901	3	in	in	ADP
cana-4144	901	4	x	x	PROPN
cana-4144	901	5	x	x	NOUN
cana-4144	901	6	is	be	AUX
cana-4144	901	7	a	a	DET
cana-4144	901	8	signed	sign	VERB
cana-4144	901	9	-	-	PUNCT
cana-4144	901	10	fr	fr	NOUN
cana-4144	901	11	,	,	PUNCT
cana-4144	901	12	then	then	ADV
cana-4144	901	13	ü	ü	PROPN
cana-4144	901	14	is	be	AUX
cana-4144	901	15	transitive	transitive	ADJ
cana-4144	901	16	in	in	ADP
cana-4144	901	17	the	the	DET
cana-4144	901	18	sense	sense	NOUN
cana-4144	901	19	of	of	ADP
cana-4144	901	20	max	max	PROPN
cana-4144	901	21	-	-	PUNCT
cana-4144	901	22	min	min	NOUN
cana-4144	901	23	if	if	SCONJ
cana-4144	902	1	and	and	CCONJ
cana-4144	902	2	only	only	ADV
cana-4144	902	3	if	if	SCONJ
cana-4144	902	4	(	(	PUNCT
cana-4144	902	5	,	,	PUNCT
cana-4144	902	6	)	)	PUNCT
cana-4144	902	7	(	(	PUNCT
cana-4144	902	8	,	,	PUNCT
cana-4144	902	9	)	)	PUNCT
cana-4144	902	10	(	(	PUNCT
cana-4144	902	11	,	,	PUNCT
cana-4144	902	12	)	)	PUNCT
cana-4144	902	13	,	,	PUNCT
cana-4144	902	14	,	,	PUNCT
cana-4144	902	15	,	,	PUNCT
cana-4144	902	16	h	h	NOUN
cana-4144	902	17	x	x	X
cana-4144	902	18	g	g	NOUN
cana-4144	903	1	i	i	PRON
cana-4144	903	2	g	g	PROPN
cana-4144	904	1	h	h	NOUN
cana-4144	904	2	h	h	NOUN
cana-4144	905	1	i	i	PRON
cana-4144	905	2	g	g	NOUN
cana-4144	906	1	h	h	NOUN
cana-4144	906	2	i	i	PRON
cana-4144	906	3	x	x	NUM
cana-4144	906	4			NOUN
cana-4144	906	5			NOUN
cana-4144	907	1			PROPN
cana-4144	907	2			PROPN
cana-4144	907	3			PROPN
cana-4144	907	4			NOUN
cana-4144	907	5			PROPN
cana-4144	907	6			PROPN
cana-4144	907	7			PROPN
cana-4144	907	8			VERB
cana-4144	907	9	ü	ü	PROPN
cana-4144	908	1	ü	ü	PROPN
cana-4144	908	2	ü	ü	PROPN
cana-4144	908	3	.	.	PUNCT
cana-4144	909	1	theorem	theorem	ADJ
cana-4144	909	2	4.5	4.5	NUM
cana-4144	909	3	.	.	PUNCT
cana-4144	910	1	let	let	VERB
cana-4144	910	2	ü	ü	NOUN
cana-4144	910	3	in	in	ADP
cana-4144	910	4	(	(	PUNCT
cana-4144	910	5	)	)	PUNCT
cana-4144	910	6	signed	sign	VERB
cana-4144	910	7	fr	fr	PROPN
cana-4144	910	8	x−	x−	PROPN
cana-4144	910	9	.	.	PUNCT
cana-4144	911	1	if	if	SCONJ
cana-4144	911	2	ü	ü	NOUN
cana-4144	911	3	is	be	AUX
cana-4144	911	4	transitive	transitive	ADJ
cana-4144	911	5	,	,	PUNCT
cana-4144	911	6	then	then	ADV
cana-4144	911	7	1−	1−	NUM
cana-4144	911	8	ü	ü	PROPN
cana-4144	911	9	is	be	AUX
cana-4144	911	10	also	also	ADV
cana-4144	911	11	transitive	transitive	ADJ
cana-4144	911	12	.	.	PUNCT
cana-4144	912	1	proof	proof	NOUN
cana-4144	912	2	.	.	PUNCT
cana-4144	913	1	given	give	VERB
cana-4144	913	2	ü	ü	NOUN
cana-4144	913	3	is	be	AUX
cana-4144	913	4	transitive	transitive	ADJ
cana-4144	913	5	signed	sign	VERB
cana-4144	913	6	-	-	PUNCT
cana-4144	913	7	fr	fr	NOUN
cana-4144	913	8	x	x	X
cana-4144	913	9	.	.	PUNCT
cana-4144	914	1	this	this	PRON
cana-4144	914	2	means	mean	VERB
cana-4144	914	3	that	that	SCONJ
cana-4144	914	4	(	(	PUNCT
cana-4144	914	5	,	,	PUNCT
cana-4144	914	6	)	)	PUNCT
cana-4144	914	7	(	(	PUNCT
cana-4144	914	8	,	,	PUNCT
cana-4144	914	9	)	)	PUNCT
cana-4144	914	10	(	(	PUNCT
cana-4144	914	11	,	,	PUNCT
cana-4144	914	12	)	)	PUNCT
cana-4144	914	13	h	h	NOUN
cana-4144	914	14	x	x	PUNCT
cana-4144	915	1	g	g	NOUN
cana-4144	915	2	i	i	PRON
cana-4144	915	3	g	g	PROPN
cana-4144	915	4	h	h	NOUN
cana-4144	915	5	h	h	NOUN
cana-4144	915	6	i	i	NUM
cana-4144	915	7			NOUN
cana-4144	915	8			NOUN
cana-4144	915	9			PROPN
cana-4144	915	10			PROPN
cana-4144	915	11			PROPN
cana-4144	915	12			NOUN
cana-4144	915	13			PROPN
cana-4144	915	14			NOUN
cana-4144	915	15			NOUN
cana-4144	915	16	ü	ü	PROPN
cana-4144	915	17	ü	ü	INTJ
cana-4144	915	18	ü	ü	PROPN
cana-4144	915	19	,	,	PUNCT
cana-4144	915	20	,	,	PUNCT
cana-4144	915	21	,	,	PUNCT
cana-4144	915	22	g	g	PROPN
cana-4144	915	23	h	h	NOUN
cana-4144	915	24	i	i	PRON
cana-4144	915	25	x	x	PROPN
cana-4144	915	26	.	.	PUNCT
cana-4144	916	1	to	to	PART
cana-4144	916	2	show	show	VERB
cana-4144	916	3	that	that	SCONJ
cana-4144	916	4	1−	1−	NUM
cana-4144	916	5	ü	ü	PROPN
cana-4144	916	6	is	be	AUX
cana-4144	916	7	transitive	transitive	ADJ
cana-4144	916	8	.	.	PUNCT
cana-4144	917	1	we	we	PRON
cana-4144	917	2	need	need	VERB
cana-4144	917	3	to	to	PART
cana-4144	917	4	show	show	VERB
cana-4144	917	5	1	1	NUM
cana-4144	917	6	1	1	NUM
cana-4144	917	7	1	1	NUM
cana-4144	917	8	(	(	PUNCT
cana-4144	917	9	,	,	PUNCT
cana-4144	917	10	)	)	PUNCT
cana-4144	917	11	(	(	PUNCT
cana-4144	917	12	,	,	PUNCT
cana-4144	917	13	)	)	PUNCT
cana-4144	917	14	(	(	PUNCT
cana-4144	917	15	,	,	PUNCT
cana-4144	917	16	)	)	PUNCT
cana-4144	917	17	h	h	NOUN
cana-4144	918	1	x	x	PUNCT
cana-4144	918	2	g	g	NOUN
cana-4144	919	1	i	i	PRON
cana-4144	919	2	g	g	PROPN
cana-4144	919	3	h	h	NOUN
cana-4144	919	4	h	h	NOUN
cana-4144	919	5	i	i	NUM
cana-4144	919	6			NOUN
cana-4144	919	7	−	−	NOUN
cana-4144	920	1	−	−	NOUN
cana-4144	920	2	−	−	PROPN
cana-4144	921	1			PROPN
cana-4144	921	2			PROPN
cana-4144	921	3			PROPN
cana-4144	921	4			NOUN
cana-4144	921	5			PROPN
cana-4144	921	6			PROPN
cana-4144	921	7			PROPN
cana-4144	921	8			VERB
cana-4144	921	9	ü	ü	PROPN
cana-4144	921	10	ü	ü	PROPN
cana-4144	921	11	ü	ü	PROPN
cana-4144	921	12	,	,	PUNCT
cana-4144	921	13	,	,	PUNCT
cana-4144	921	14	,	,	PUNCT
cana-4144	921	15	g	g	PROPN
cana-4144	921	16	h	h	NOUN
cana-4144	922	1	i	i	PRON
cana-4144	922	2	x	x	PROPN
cana-4144	922	3	.	.	PUNCT
cana-4144	923	1	by	by	ADP
cana-4144	923	2	inverse	inverse	NOUN
cana-4144	923	3	signed	sign	VERB
cana-4144	923	4	-	-	PUNCT
cana-4144	923	5	fr	fr	NOUN
cana-4144	923	6	,	,	PUNCT
cana-4144	923	7	we	we	PRON
cana-4144	923	8	have	have	VERB
cana-4144	923	9	1	1	NUM
cana-4144	923	10	(	(	PUNCT
cana-4144	923	11	,	,	PUNCT
cana-4144	923	12	)	)	PUNCT
cana-4144	923	13	(	(	PUNCT
cana-4144	923	14	,	,	PUNCT
cana-4144	923	15	)	)	PUNCT
cana-4144	923	16	g	g	NOUN
cana-4144	923	17	h	h	PROPN
cana-4144	923	18	h	h	PROPN
cana-4144	923	19	g	g	PROPN
cana-4144	923	20	−	−	NOUN
cana-4144	923	21			NOUN
cana-4144	923	22	=	=	SYM
cana-4144	923	23	üü	üü	PROPN
cana-4144	923	24	for	for	ADP
cana-4144	923	25	all	all	PRON
cana-4144	923	26	,	,	PUNCT
cana-4144	923	27	g	g	PROPN
cana-4144	923	28	h	h	NOUN
cana-4144	923	29	x	x	PROPN
cana-4144	923	30	.	.	PUNCT
cana-4144	924	1	we	we	PRON
cana-4144	924	2	get	get	VERB
cana-4144	924	3	(	(	PUNCT
cana-4144	924	4	,	,	PUNCT
cana-4144	924	5	)	)	PUNCT
cana-4144	924	6	(	(	PUNCT
cana-4144	924	7	,	,	PUNCT
cana-4144	924	8	)	)	PUNCT
cana-4144	924	9	(	(	PUNCT
cana-4144	924	10	,	,	PUNCT
cana-4144	924	11	)	)	PUNCT
cana-4144	924	12	h	h	NOUN
cana-4144	925	1	x	x	PUNCT
cana-4144	925	2	g	g	NOUN
cana-4144	926	1	i	i	PRON
cana-4144	926	2	g	g	PROPN
cana-4144	927	1	h	h	NOUN
cana-4144	927	2	h	h	NOUN
cana-4144	927	3	i	i	NUM
cana-4144	927	4			NOUN
cana-4144	927	5			NOUN
cana-4144	927	6			PROPN
cana-4144	927	7			PROPN
cana-4144	927	8			PROPN
cana-4144	927	9			NOUN
cana-4144	927	10			PROPN
cana-4144	927	11			NOUN
cana-4144	927	12			NOUN
cana-4144	927	13	ü	ü	PROPN
cana-4144	927	14	ü	ü	INTJ
cana-4144	927	15	ü	ü	PROPN
cana-4144	927	16	,	,	PUNCT
cana-4144	927	17	,	,	PUNCT
cana-4144	927	18	,	,	PUNCT
cana-4144	927	19	g	g	PROPN
cana-4144	927	20	h	h	NOUN
cana-4144	927	21	i	i	PRON
cana-4144	927	22	x	x	PROPN
cana-4144	927	23	.	.	PUNCT
cana-4144	928	1	therefore	therefore	ADV
cana-4144	928	2	1−	1−	NUM
cana-4144	928	3	ü	ü	PROPN
cana-4144	928	4	is	be	AUX
cana-4144	928	5	transitive	transitive	ADJ
cana-4144	928	6	.	.	PUNCT
cana-4144	929	1	theorem	theorem	VERB
cana-4144	929	2	4.6	4.6	NUM
cana-4144	929	3	.	.	PUNCT
cana-4144	930	1	let	let	VERB
cana-4144	930	2	ü	ü	NOUN
cana-4144	930	3	in	in	ADP
cana-4144	930	4	(	(	PUNCT
cana-4144	930	5	)	)	PUNCT
cana-4144	930	6	signed	sign	VERB
cana-4144	930	7	fr	fr	PROPN
cana-4144	930	8	x−	x−	PROPN
cana-4144	930	9	.	.	PUNCT
cana-4144	931	1	if	if	SCONJ
cana-4144	931	2	ü	ü	NOUN
cana-4144	931	3	is	be	AUX
cana-4144	931	4	transitive	transitive	ADJ
cana-4144	931	5	,	,	PUNCT
cana-4144	931	6	then	then	ADV
cana-4144	931	7	2	2	X
cana-4144	931	8	ü	ü	X
cana-4144	931	9	is	be	AUX
cana-4144	931	10	transitive	transitive	ADJ
cana-4144	931	11	.	.	PUNCT
cana-4144	932	1	theorem	theorem	VERB
cana-4144	932	2	4.7	4.7	NUM
cana-4144	932	3	.	.	PUNCT
cana-4144	933	1	let	let	VERB
cana-4144	933	2	ü	ü	NOUN
cana-4144	933	3	and	and	CCONJ
cana-4144	933	4	2ü	2ü	NOUN
cana-4144	933	5	in	in	ADP
cana-4144	933	6	(	(	PUNCT
cana-4144	933	7	)	)	PUNCT
cana-4144	933	8	signed	sign	VERB
cana-4144	933	9	fr	fr	PROPN
cana-4144	933	10	x−	x−	PROPN
cana-4144	933	11	.	.	PUNCT
cana-4144	934	1	if	if	SCONJ
cana-4144	934	2	ü	ü	NOUN
cana-4144	934	3	and	and	CCONJ
cana-4144	934	4	2ü	2ü	NOUN
cana-4144	934	5	are	be	AUX
cana-4144	934	6	transitive	transitive	ADJ
cana-4144	934	7	,	,	PUNCT
cana-4144	934	8	then	then	ADV
cana-4144	934	9	2	2	NUM
cana-4144	934	10	ü	ü	NOUN
cana-4144	934	11	ü	ü	PROPN
cana-4144	934	12	is	be	AUX
cana-4144	934	13	transitive	transitive	ADJ
cana-4144	934	14	.	.	PUNCT
cana-4144	935	1	definition	definition	NOUN
cana-4144	935	2	4.6	4.6	NUM
cana-4144	935	3	.	.	PUNCT
cana-4144	936	1	a	a	DET
cana-4144	936	2	fuzzy	fuzzy	ADJ
cana-4144	936	3	relation	relation	NOUN
cana-4144	936	4	x	x	SYM
cana-4144	936	5	x	x	PROPN
cana-4144	936	6			PROPN
cana-4144	936	7	ü	ü	PROPN
cana-4144	936	8	is	be	AUX
cana-4144	936	9	referred	refer	VERB
cana-4144	936	10	to	to	ADP
cana-4144	936	11	as	as	ADP
cana-4144	936	12	a	a	DET
cana-4144	936	13	"	"	PUNCT
cana-4144	936	14	fuzzy	fuzzy	ADJ
cana-4144	936	15	equivalence	equivalence	NOUN
cana-4144	936	16	relation	relation	NOUN
cana-4144	936	17	"	"	PUNCT
cana-4144	936	18	or	or	CCONJ
cana-4144	936	19	"	"	PUNCT
cana-4144	936	20	similarity	similarity	NOUN
cana-4144	936	21	relation	relation	NOUN
cana-4144	936	22	"	"	PUNCT
cana-4144	936	23	if	if	SCONJ
cana-4144	936	24	it	it	PRON
cana-4144	936	25	meets	meet	VERB
cana-4144	936	26	the	the	DET
cana-4144	936	27	specified	specify	VERB
cana-4144	936	28	requirements	requirement	NOUN
cana-4144	936	29	.	.	PUNCT
cana-4144	937	1	1	1	X
cana-4144	937	2	.	.	X
cana-4144	937	3	(	(	PUNCT
cana-4144	937	4	,	,	PUNCT
cana-4144	937	5	)	)	PUNCT
cana-4144	937	6	1,g	1,g	PROPN
cana-4144	937	7	g	g	NOUN
cana-4144	937	8	g	g	PROPN
cana-4144	937	9	x	x	PROPN
cana-4144	938	1	=	=	PUNCT
cana-4144	939	1			PROPN
cana-4144	939	2			VERB
cana-4144	939	3			NOUN
cana-4144	939	4	.	.	PUNCT
cana-4144	940	1	(	(	PUNCT
cana-4144	940	2	reflexive	reflexive	ADJ
cana-4144	940	3	relation	relation	NOUN
cana-4144	940	4	)	)	PUNCT
cana-4144	940	5	2	2	NUM
cana-4144	940	6	.	.	PUNCT
cana-4144	940	7	(	(	PUNCT
cana-4144	940	8	,	,	PUNCT
cana-4144	940	9	)	)	PUNCT
cana-4144	940	10	(	(	PUNCT
cana-4144	940	11	,	,	PUNCT
cana-4144	940	12	)	)	PUNCT
cana-4144	940	13	,	,	PUNCT
cana-4144	940	14	,	,	PUNCT
cana-4144	940	15	g	g	PROPN
cana-4144	940	16	h	h	NOUN
cana-4144	940	17	h	h	NOUN
cana-4144	941	1	g	g	PROPN
cana-4144	941	2	g	g	PROPN
cana-4144	941	3	h	h	NOUN
cana-4144	941	4	x	x	NUM
cana-4144	941	5			NOUN
cana-4144	942	1			PROPN
cana-4144	942	2			PROPN
cana-4144	942	3	=	=	PUNCT
cana-4144	942	4			NOUN
cana-4144	942	5	ü	ü	NOUN
cana-4144	942	6	ü	ü	NOUN
cana-4144	942	7	.	.	PUNCT
cana-4144	943	1	(	(	PUNCT
cana-4144	943	2	symmetric	symmetric	ADJ
cana-4144	943	3	relation	relation	NOUN
cana-4144	943	4	)	)	PUNCT
cana-4144	943	5	3	3	NUM
cana-4144	943	6	.	.	PUNCT
cana-4144	944	1	(	(	PUNCT
cana-4144	944	2	,	,	PUNCT
cana-4144	944	3	)	)	PUNCT
cana-4144	944	4	(	(	PUNCT
cana-4144	944	5	,	,	PUNCT
cana-4144	944	6	)	)	PUNCT
cana-4144	944	7	(	(	PUNCT
cana-4144	944	8	,	,	PUNCT
cana-4144	944	9	)	)	PUNCT
cana-4144	944	10	,	,	PUNCT
cana-4144	944	11	,	,	PUNCT
cana-4144	944	12	,	,	PUNCT
cana-4144	944	13	h	h	NOUN
cana-4144	944	14	x	x	X
cana-4144	945	1	g	g	NOUN
cana-4144	945	2	i	i	PRON
cana-4144	945	3	g	g	PROPN
cana-4144	946	1	h	h	NOUN
cana-4144	946	2	h	h	NOUN
cana-4144	947	1	i	i	PRON
cana-4144	947	2	g	g	NOUN
cana-4144	948	1	h	h	NOUN
cana-4144	948	2	i	i	PRON
cana-4144	948	3	x	x	NUM
cana-4144	948	4			NOUN
cana-4144	948	5			NOUN
cana-4144	949	1			PROPN
cana-4144	949	2			PROPN
cana-4144	949	3			PROPN
cana-4144	949	4			NOUN
cana-4144	949	5			PROPN
cana-4144	949	6			PROPN
cana-4144	949	7			PROPN
cana-4144	949	8			VERB
cana-4144	949	9	ü	ü	PROPN
cana-4144	950	1	ü	ü	PROPN
cana-4144	950	2	ü	ü	PROPN
cana-4144	950	3	.	.	PUNCT
cana-4144	951	1	(	(	PUNCT
cana-4144	951	2	transitive	transitive	ADJ
cana-4144	951	3	relation	relation	NOUN
cana-4144	951	4	)	)	PUNCT
cana-4144	951	5	consequently	consequently	ADV
cana-4144	951	6	,	,	PUNCT
cana-4144	951	7	the	the	DET
cana-4144	951	8	matrix	matrix	NOUN
cana-4144	951	9	is	be	AUX
cana-4144	951	10	a	a	DET
cana-4144	951	11	signed	sign	VERB
cana-4144	951	12	fuzzy	fuzzy	ADJ
cana-4144	951	13	equivalency	equivalency	NOUN
cana-4144	951	14	relation	relation	NOUN
cana-4144	951	15	.	.	PUNCT
cana-4144	952	1	in	in	ADP
cana-4144	952	2	this	this	DET
cana-4144	952	3	case	case	NOUN
cana-4144	952	4	,	,	PUNCT
cana-4144	952	5	the	the	DET
cana-4144	952	6	symmetry	symmetry	NOUN
cana-4144	952	7	of	of	ADP
cana-4144	952	8	the	the	DET
cana-4144	952	9	matrix	matrix	NOUN
cana-4144	952	10	across	across	ADP
cana-4144	952	11	the	the	DET
cana-4144	952	12	main	main	ADJ
cana-4144	952	13	diagonal	diagonal	NOUN
cana-4144	952	14	indicates	indicate	VERB
cana-4144	952	15	a	a	DET
cana-4144	952	16	symmetric	symmetric	ADJ
cana-4144	952	17	relation	relation	NOUN
cana-4144	952	18	.	.	PUNCT
cana-4144	953	1	moreover	moreover	ADV
cana-4144	953	2	,	,	PUNCT
cana-4144	953	3	because	because	SCONJ
cana-4144	953	4	each	each	DET
cana-4144	953	5	element	element	NOUN
cana-4144	953	6	has	have	VERB
cana-4144	953	7	a	a	DET
cana-4144	953	8	degree	degree	NOUN
cana-4144	953	9	of	of	ADP
cana-4144	953	10	membership	membership	NOUN
cana-4144	953	11	of	of	ADP
cana-4144	953	12	1	1	NUM
cana-4144	953	13	,	,	PUNCT
cana-4144	953	14	it	it	PRON
cana-4144	953	15	demonstrates	demonstrate	VERB
cana-4144	953	16	reflexivity	reflexivity	NOUN
cana-4144	953	17	.	.	PUNCT
cana-4144	954	1	the	the	DET
cana-4144	954	2	transitive	transitive	ADJ
cana-4144	954	3	attribute	attribute	NOUN
cana-4144	954	4	is	be	AUX
cana-4144	954	5	likewise	likewise	ADV
cana-4144	954	6	satisfied	satisfied	ADJ
cana-4144	954	7	by	by	ADP
cana-4144	954	8	the	the	DET
cana-4144	954	9	composition	composition	NOUN
cana-4144	954	10	of	of	ADP
cana-4144	954	11	relations	relation	NOUN
cana-4144	954	12	.	.	PUNCT
cana-4144	955	1	communications	communication	NOUN
cana-4144	955	2	on	on	ADP
cana-4144	955	3	applied	apply	VERB
cana-4144	955	4	nonlinear	nonlinear	ADJ
cana-4144	955	5	analysis	analysis	NOUN
cana-4144	955	6	issn	issn	NOUN
cana-4144	955	7	:	:	PUNCT
cana-4144	955	8	1074	1074	NUM
cana-4144	955	9	-	-	PUNCT
cana-4144	955	10	133x	133x	NUM
cana-4144	955	11	vol	vol	NOUN
cana-4144	955	12	x	x	NOUN
cana-4144	955	13	no	no	INTJ
cana-4144	955	14	.	.	PUNCT
cana-4144	956	1	y	y	PROPN
cana-4144	956	2	(	(	PUNCT
cana-4144	956	3	2025	2025	NUM
cana-4144	956	4	)	)	PUNCT
cana-4144	956	5	1345	1345	NUM
cana-4144	956	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	956	7	definition	definition	NOUN
cana-4144	956	8	4.7	4.7	NUM
cana-4144	956	9	.	.	PUNCT
cana-4144	957	1	a	a	DET
cana-4144	957	2	signed	sign	VERB
cana-4144	957	3	-	-	PUNCT
cana-4144	957	4	fr	fr	NOUN
cana-4144	957	5	1	1	NUM
cana-4144	957	6	defined	define	VERB
cana-4144	957	7	on	on	ADP
cana-4144	957	8	x	x	X
cana-4144	957	9	.	.	PUNCT
cana-4144	958	1	for	for	ADP
cana-4144	958	2	any	any	DET
cana-4144	958	3	[	[	PUNCT
cana-4144	958	4	1,1]	1,1]	NUM
cana-4144	958	5			NOUN
cana-4144	958	6	−	−	ADP
cana-4144	958	7	the	the	DET
cana-4144	958	8			NOUN
cana-4144	958	9	-cut	-cut	VERB
cana-4144	958	10	1	1	NUM
cana-4144	958	11			NUM
cana-4144	958	12			PROPN
cana-4144	958	13	is	be	AUX
cana-4144	958	14	given	give	VERB
cana-4144	958	15	by	by	ADP
cana-4144	958	16			PROPN
cana-4144	958	17	1	1	PROPN
cana-4144	958	18	1/	1/	NUM
cana-4144	958	19	(	(	PUNCT
cana-4144	958	20	)	)	PUNCT
cana-4144	958	21	.g	.g	PROPN
cana-4144	959	1	x	x	PUNCT
cana-4144	959	2	g	g	NOUN
cana-4144	959	3			NUM
cana-4144	959	4			PROPN
cana-4144	959	5	=	=	SYM
cana-4144	959	6			NOUN
cana-4144	959	7			VERB
cana-4144	959	8			NUM
cana-4144	959	9	definition	definition	NOUN
cana-4144	959	10	4.8	4.8	NUM
cana-4144	959	11	.	.	PUNCT
cana-4144	960	1	a	a	DET
cana-4144	960	2	signed	sign	VERB
cana-4144	960	3	-	-	PUNCT
cana-4144	960	4	fr	fr	NOUN
cana-4144	960	5	1	1	NUM
cana-4144	960	6	defined	define	VERB
cana-4144	960	7	on	on	ADP
cana-4144	960	8	x	x	X
cana-4144	960	9	.	.	PUNCT
cana-4144	961	1	for	for	ADP
cana-4144	961	2	any	any	DET
cana-4144	961	3	[	[	PUNCT
cana-4144	961	4	1,1]	1,1]	NUM
cana-4144	961	5			NOUN
cana-4144	961	6	−	−	PROPN
cana-4144	961	7	the	the	DET
cana-4144	961	8	strong	strong	ADJ
cana-4144	961	9	1cut	1cut	NUM
cana-4144	961	10			NOUN
cana-4144	961	11	+	+	CCONJ
cana-4144	961	12	−	−	ADJ
cana-4144	961	13			NOUN
cana-4144	961	14	is	be	AUX
cana-4144	961	15	given	give	VERB
cana-4144	961	16	by	by	ADP
cana-4144	961	17			PROPN
cana-4144	961	18	1	1	PROPN
cana-4144	962	1	1/	1/	NUM
cana-4144	962	2	(	(	PUNCT
cana-4144	962	3	)	)	PUNCT
cana-4144	962	4	g	g	NOUN
cana-4144	962	5	x	x	SYM
cana-4144	962	6	g	g	NOUN
cana-4144	962	7	+	+	NOUN
cana-4144	962	8			PROPN
cana-4144	962	9			PROPN
cana-4144	962	10	=	=	SYM
cana-4144	962	11			NOUN
cana-4144	962	12			VERB
cana-4144	962	13			X
cana-4144	962	14	.	.	PUNCT
cana-4144	963	1	definition	definition	NOUN
cana-4144	963	2	4.9	4.9	NUM
cana-4144	963	3	.	.	PUNCT
cana-4144	964	1	a	a	DET
cana-4144	964	2	signed	sign	VERB
cana-4144	964	3	-	-	PUNCT
cana-4144	964	4	fr	fr	NOUN
cana-4144	964	5	is	be	AUX
cana-4144	964	6	convex	convex	ADJ
cana-4144	964	7	if	if	SCONJ
cana-4144	964	8	its	its	PRON
cana-4144	964	9			NUM
cana-4144	964	10	cuts	cut	NOUN
cana-4144	964	11	are	be	AUX
cana-4144	964	12	convex	convex	ADJ
cana-4144	964	13	for	for	ADP
cana-4144	964	14	all	all	DET
cana-4144	964	15	[	[	PUNCT
cana-4144	964	16	1,1]	1,1]	ADJ
cana-4144	964	17			NOUN
cana-4144	964	18	−	−	PROPN
cana-4144	964	19	.	.	PUNCT
cana-4144	965	1	that	that	PRON
cana-4144	965	2	is	be	AUX
cana-4144	965	3	,	,	PUNCT
cana-4144	965	4	1	1	NUM
cana-4144	965	5	2	2	NUM
cana-4144	965	6	1,g	1,g	NUM
cana-4144	965	7	g	g	NOUN
cana-4144	965	8			NOUN
cana-4144	965	9			PROPN
cana-4144	965	10	,	,	PUNCT
cana-4144	965	11	then	then	ADV
cana-4144	965	12	1	1	NUM
cana-4144	965	13	2	2	NUM
cana-4144	965	14	1(1	1(1	NUM
cana-4144	965	15	)	)	PUNCT
cana-4144	965	16	g	g	PROPN
cana-4144	965	17	g	g	PROPN
cana-4144	965	18			PROPN
cana-4144	965	19			ADJ
cana-4144	965	20	+	+	PROPN
cana-4144	965	21	−	−	PROPN
cana-4144	965	22			NOUN
cana-4144	965	23	for	for	ADP
cana-4144	965	24	[	[	PUNCT
cana-4144	965	25	1,1]	1,1]	NUM
cana-4144	965	26	−	−	NOUN
cana-4144	965	27	.	.	PUNCT
cana-4144	966	1	theorem	theorem	PROPN
cana-4144	966	2	4.8	4.8	NUM
cana-4144	966	3	.	.	PUNCT
cana-4144	967	1	a	a	DET
cana-4144	967	2	signed	sign	VERB
cana-4144	967	3	-	-	PUNCT
cana-4144	967	4	fr	fr	NOUN
cana-4144	967	5	1	1	NUM
cana-4144	967	6	on	on	ADP
cana-4144	967	7	ü	ü	PROPN
cana-4144	967	8	is	be	AUX
cana-4144	967	9	convex	convex	ADJ
cana-4144	967	10	if	if	SCONJ
cana-4144	967	11	and	and	CCONJ
cana-4144	967	12	only	only	ADV
cana-4144	967	13	if	if	SCONJ
cana-4144	967	14			PROPN
cana-4144	967	15			PROPN
cana-4144	967	16	(	(	PUNCT
cana-4144	967	17	)	)	SYM
cana-4144	967	18	1	1	NUM
cana-4144	967	19	1	1	NUM
cana-4144	967	20	2	2	NUM
cana-4144	967	21	1	1	NUM
cana-4144	967	22	1	1	NUM
cana-4144	967	23	1	1	NUM
cana-4144	967	24	2(1	2(1	NUM
cana-4144	967	25	)	)	PUNCT
cana-4144	967	26	(	(	PUNCT
cana-4144	967	27	)	)	PUNCT
cana-4144	967	28	,	,	PUNCT
cana-4144	967	29	(	(	PUNCT
cana-4144	967	30	)	)	PUNCT
cana-4144	967	31	g	g	PROPN
cana-4144	967	32	g	g	PROPN
cana-4144	967	33	min	min	PROPN
cana-4144	967	34	g	g	PROPN
cana-4144	967	35	g	g	PROPN
cana-4144	967	36			PROPN
cana-4144	967	37			PROPN
cana-4144	967	38			PROPN
cana-4144	967	39	+	+	CCONJ
cana-4144	967	40	−	−	PROPN
cana-4144	967	41			NUM
cana-4144	967	42			NOUN
cana-4144	967	43			NOUN
cana-4144	967	44	,	,	PUNCT
cana-4144	967	45	for	for	ADP
cana-4144	967	46	all	all	PRON
cana-4144	967	47	1	1	NUM
cana-4144	967	48	2,g	2,g	NOUN
cana-4144	967	49	g	g	ADP
cana-4144	967	50			NOUN
cana-4144	967	51	ü	ü	PROPN
cana-4144	967	52	and	and	CCONJ
cana-4144	967	53	[	[	PUNCT
cana-4144	967	54	1,1]	1,1]	NUM
cana-4144	967	55	−	−	NOUN
cana-4144	967	56	.	.	PUNCT
cana-4144	968	1	proof	proof	NOUN
cana-4144	968	2	.	.	PUNCT
cana-4144	969	1	let	let	VERB
cana-4144	969	2	1	1	NUM
cana-4144	969	3	represents	represent	VERB
cana-4144	969	4	a	a	DET
cana-4144	969	5	signed	sign	VERB
cana-4144	969	6	-	-	PUNCT
cana-4144	969	7	fr	fr	NOUN
cana-4144	969	8	on	on	ADP
cana-4144	969	9	ü	ü	NOUN
cana-4144	969	10	.	.	PUNCT
cana-4144	970	1	assume	assume	VERB
cana-4144	970	2	that	that	SCONJ
cana-4144	970	3	1	1	NUM
cana-4144	970	4	is	be	AUX
cana-4144	970	5	convex	convex	NOUN
cana-4144	970	6	,	,	PUNCT
cana-4144	970	7	meaning	mean	VERB
cana-4144	970	8	its	its	PRON
cana-4144	970	9			NOUN
cana-4144	970	10	cuts	cut	NOUN
cana-4144	970	11	are	be	AUX
cana-4144	970	12	also	also	ADV
cana-4144	970	13	convex	convex	ADJ
cana-4144	970	14	,	,	PUNCT
cana-4144	970	15	and	and	CCONJ
cana-4144	970	16	1	1	NUM
cana-4144	970	17			NUM
cana-4144	970	18			PROPN
cana-4144	970	19	is	be	AUX
cana-4144	970	20	convex	convex	ADJ
cana-4144	970	21	.	.	PUNCT
cana-4144	971	1	if	if	SCONJ
cana-4144	971	2	1	1	NUM
cana-4144	971	3	2	2	NUM
cana-4144	971	4	1,g	1,g	NUM
cana-4144	971	5	g	g	NOUN
cana-4144	971	6			NOUN
cana-4144	971	7			PROPN
cana-4144	971	8	,	,	PUNCT
cana-4144	971	9	then	then	ADV
cana-4144	971	10	1	1	NUM
cana-4144	971	11	2	2	NUM
cana-4144	971	12	1(1	1(1	NUM
cana-4144	971	13	)	)	PUNCT
cana-4144	971	14	g	g	PROPN
cana-4144	971	15	g	g	PROPN
cana-4144	971	16			PROPN
cana-4144	971	17			ADJ
cana-4144	971	18	+	+	PROPN
cana-4144	971	19	−	−	PROPN
cana-4144	971	20			NOUN
cana-4144	971	21	for	for	ADP
cana-4144	971	22	[	[	PUNCT
cana-4144	971	23	1,1]	1,1]	NUM
cana-4144	971	24	−	−	NOUN
cana-4144	971	25	.	.	PUNCT
cana-4144	972	1	now	now	ADV
cana-4144	972	2	consider	consider	VERB
cana-4144	972	3	1	1	NUM
cana-4144	972	4	1	1	NUM
cana-4144	972	5	1	1	NUM
cana-4144	972	6	2	2	NUM
cana-4144	972	7	(	(	PUNCT
cana-4144	972	8	)	)	PUNCT
cana-4144	972	9	(	(	PUNCT
cana-4144	972	10	)	)	PUNCT
cana-4144	972	11	g	g	PROPN
cana-4144	972	12	g	g	PROPN
cana-4144	972	13			VERB
cana-4144	972	14			NOUN
cana-4144	972	15			NOUN
cana-4144	972	16	.	.	PUNCT
cana-4144	973	1	let	let	VERB
cana-4144	973	2	1	1	NUM
cana-4144	973	3	1	1	NUM
cana-4144	973	4	(	(	PUNCT
cana-4144	973	5	)	)	PUNCT
cana-4144	973	6	g	g	NOUN
cana-4144	973	7	=	=	NOUN
cana-4144	973	8			NOUN
cana-4144	973	9	.	.	PUNCT
cana-4144	974	1	1	1	NUM
cana-4144	974	2	1	1	NUM
cana-4144	974	3	2	2	NUM
cana-4144	974	4	1	1	NUM
cana-4144	974	5	1	1	NUM
cana-4144	974	6	1	1	NUM
cana-4144	974	7	1	1	NUM
cana-4144	974	8	1	1	NUM
cana-4144	974	9	2	2	NUM
cana-4144	974	10	(	(	PUNCT
cana-4144	974	11	(	(	PUNCT
cana-4144	974	12	1	1	NUM
cana-4144	974	13	)	)	PUNCT
cana-4144	974	14	)	)	PUNCT
cana-4144	974	15	(	(	PUNCT
cana-4144	974	16	)	)	PUNCT
cana-4144	974	17	[	[	PUNCT
cana-4144	974	18	(	(	PUNCT
cana-4144	974	19	)	)	PUNCT
cana-4144	974	20	,	,	PUNCT
cana-4144	974	21	(	(	PUNCT
cana-4144	974	22	)	)	PUNCT
cana-4144	974	23	]	]	X
cana-4144	974	24	g	g	PROPN
cana-4144	974	25	g	g	PROPN
cana-4144	974	26	g	g	PROPN
cana-4144	974	27	min	min	PROPN
cana-4144	974	28	g	g	PROPN
cana-4144	974	29	g	g	PROPN
cana-4144	974	30			X
cana-4144	974	31			X
cana-4144	974	32			PROPN
cana-4144	974	33			PROPN
cana-4144	974	34			PROPN
cana-4144	974	35	+	+	CCONJ
cana-4144	974	36	−	−	PROPN
cana-4144	974	37			NUM
cana-4144	974	38	=	=	SYM
cana-4144	974	39			NOUN
cana-4144	974	40	=	=	NOUN
cana-4144	974	41			NOUN
cana-4144	974	42			NOUN
cana-4144	974	43	.	.	PUNCT
cana-4144	975	1	hence	hence	ADV
cana-4144	975	2	we	we	PRON
cana-4144	975	3	have	have	VERB
cana-4144	975	4	1	1	NUM
cana-4144	975	5	1	1	NUM
cana-4144	975	6	2	2	NUM
cana-4144	975	7	1	1	NUM
cana-4144	975	8	1	1	NUM
cana-4144	975	9	1	1	NUM
cana-4144	975	10	2	2	NUM
cana-4144	975	11	(	(	PUNCT
cana-4144	975	12	(	(	PUNCT
cana-4144	975	13	1	1	NUM
cana-4144	975	14	)	)	PUNCT
cana-4144	975	15	)	)	PUNCT
cana-4144	976	1	[	[	PUNCT
cana-4144	976	2	(	(	PUNCT
cana-4144	976	3	)	)	PUNCT
cana-4144	976	4	,	,	PUNCT
cana-4144	976	5	(	(	PUNCT
cana-4144	976	6	)	)	PUNCT
cana-4144	976	7	]	]	X
cana-4144	976	8	g	g	PROPN
cana-4144	976	9	g	g	PROPN
cana-4144	976	10	min	min	PROPN
cana-4144	976	11	g	g	PROPN
cana-4144	976	12	g	g	PROPN
cana-4144	976	13			PROPN
cana-4144	976	14			PROPN
cana-4144	976	15			PROPN
cana-4144	976	16	+	+	CCONJ
cana-4144	976	17	−	−	PROPN
cana-4144	976	18			NUM
cana-4144	976	19			NOUN
cana-4144	976	20			NOUN
cana-4144	976	21	,	,	PUNCT
cana-4144	976	22	for	for	ADP
cana-4144	976	23	all	all	DET
cana-4144	976	24	1	1	NUM
cana-4144	976	25	2,g	2,g	NOUN
cana-4144	976	26	g	g	ADP
cana-4144	976	27			NOUN
cana-4144	976	28	ü	ü	PROPN
cana-4144	976	29	and	and	CCONJ
cana-4144	976	30	[	[	PUNCT
cana-4144	976	31	1,1]	1,1]	NUM
cana-4144	976	32	−	−	NOUN
cana-4144	976	33	.	.	PUNCT
cana-4144	977	1	conversely	conversely	ADV
cana-4144	977	2	,	,	PUNCT
cana-4144	977	3	suppose	suppose	VERB
cana-4144	977	4	a	a	DET
cana-4144	977	5	signed	sign	VERB
cana-4144	977	6	-	-	PUNCT
cana-4144	977	7	fr	fr	NOUN
cana-4144	977	8	satisfies	satisfie	NOUN
cana-4144	977	9	1	1	NUM
cana-4144	977	10	1	1	NUM
cana-4144	977	11	2	2	NUM
cana-4144	977	12	1	1	NUM
cana-4144	977	13	1	1	NUM
cana-4144	977	14	1	1	NUM
cana-4144	977	15	2	2	NUM
cana-4144	977	16	(	(	PUNCT
cana-4144	977	17	(	(	PUNCT
cana-4144	977	18	1	1	NUM
cana-4144	977	19	)	)	PUNCT
cana-4144	977	20	)	)	PUNCT
cana-4144	978	1	[	[	PUNCT
cana-4144	978	2	(	(	PUNCT
cana-4144	978	3	)	)	PUNCT
cana-4144	978	4	,	,	PUNCT
cana-4144	978	5	(	(	PUNCT
cana-4144	978	6	)	)	PUNCT
cana-4144	978	7	]	]	X
cana-4144	978	8	g	g	PROPN
cana-4144	978	9	g	g	PROPN
cana-4144	978	10	min	min	PROPN
cana-4144	978	11	g	g	PROPN
cana-4144	978	12	g	g	PROPN
cana-4144	978	13			PROPN
cana-4144	978	14			PROPN
cana-4144	978	15			PROPN
cana-4144	978	16	+	+	CCONJ
cana-4144	978	17	−	−	PROPN
cana-4144	978	18			NUM
cana-4144	978	19			NOUN
cana-4144	978	20			NOUN
cana-4144	978	21	,	,	PUNCT
cana-4144	978	22	forall	forall	NOUN
cana-4144	978	23	1	1	NUM
cana-4144	978	24	2,g	2,g	NOUN
cana-4144	978	25	g	g	ADP
cana-4144	978	26			NOUN
cana-4144	978	27	ü	ü	PROPN
cana-4144	979	1	and	and	CCONJ
cana-4144	979	2	[	[	PUNCT
cana-4144	979	3	1,1]	1,1]	NUM
cana-4144	979	4	−	−	NOUN
cana-4144	979	5	.	.	PUNCT
cana-4144	980	1	to	to	PART
cana-4144	980	2	show	show	VERB
cana-4144	980	3	that	that	SCONJ
cana-4144	980	4	1	1	NUM
cana-4144	980	5	is	be	AUX
cana-4144	980	6	convex	convex	NOUN
cana-4144	980	7	,	,	PUNCT
cana-4144	980	8	meaning	mean	VERB
cana-4144	980	9	1	1	NUM
cana-4144	980	10			NUM
cana-4144	980	11			PROPN
cana-4144	980	12	is	be	AUX
cana-4144	980	13	convex	convex	NOUN
cana-4144	980	14	.	.	PUNCT
cana-4144	981	1	let	let	VERB
cana-4144	981	2	us	we	PRON
cana-4144	981	3	take	take	VERB
cana-4144	981	4	1	1	NUM
cana-4144	981	5	2	2	NUM
cana-4144	981	6	1,g	1,g	NUM
cana-4144	981	7	g	g	NOUN
cana-4144	981	8			NOUN
cana-4144	981	9			PROPN
cana-4144	981	10	,	,	PUNCT
cana-4144	981	11	implying	imply	VERB
cana-4144	981	12	1	1	NUM
cana-4144	981	13	2	2	NUM
cana-4144	981	14	1(1	1(1	NUM
cana-4144	981	15	)	)	PUNCT
cana-4144	981	16	g	g	PROPN
cana-4144	981	17	g	g	PROPN
cana-4144	981	18			PROPN
cana-4144	981	19			ADJ
cana-4144	981	20	+	+	NOUN
cana-4144	981	21	−	−	PROPN
cana-4144	981	22			NOUN
cana-4144	981	23	.	.	PUNCT
cana-4144	982	1	since	since	SCONJ
cana-4144	982	2	1	1	NUM
cana-4144	982	3	1	1	NUM
cana-4144	982	4	(	(	PUNCT
cana-4144	982	5	)	)	PUNCT
cana-4144	982	6	g	g	NOUN
cana-4144	982	7			PRON
cana-4144	982	8			NUM
cana-4144	982	9	and	and	CCONJ
cana-4144	982	10	1	1	NUM
cana-4144	982	11	2	2	NUM
cana-4144	982	12	(	(	PUNCT
cana-4144	982	13	)	)	PUNCT
cana-4144	982	14	g	g	NOUN
cana-4144	982	15			PRON
cana-4144	982	16			NUM
cana-4144	982	17	.	.	PUNCT
cana-4144	983	1	we	we	PRON
cana-4144	983	2	have	have	VERB
cana-4144	983	3	1	1	NUM
cana-4144	983	4	1	1	NUM
cana-4144	983	5	2	2	NUM
cana-4144	983	6	1	1	NUM
cana-4144	983	7	1	1	NUM
cana-4144	983	8	1	1	NUM
cana-4144	983	9	2	2	NUM
cana-4144	983	10	(	(	PUNCT
cana-4144	983	11	(	(	PUNCT
cana-4144	983	12	1	1	NUM
cana-4144	983	13	)	)	PUNCT
cana-4144	983	14	)	)	PUNCT
cana-4144	984	1	(	(	PUNCT
cana-4144	984	2	(	(	PUNCT
cana-4144	984	3	)	)	PUNCT
cana-4144	984	4	,	,	PUNCT
cana-4144	984	5	(	(	PUNCT
cana-4144	984	6	)	)	PUNCT
cana-4144	984	7	)	)	PUNCT
cana-4144	984	8	(	(	PUNCT
cana-4144	984	9	,	,	PUNCT
cana-4144	984	10	)	)	PUNCT
cana-4144	984	11	g	g	PROPN
cana-4144	984	12	g	g	PROPN
cana-4144	984	13	min	min	PROPN
cana-4144	984	14	g	g	PROPN
cana-4144	984	15	g	g	PROPN
cana-4144	984	16	min	min	ADV
cana-4144	984	17			X
cana-4144	984	18			X
cana-4144	984	19			X
cana-4144	984	20			ADJ
cana-4144	984	21			PROPN
cana-4144	984	22			PROPN
cana-4144	984	23	+	+	CCONJ
cana-4144	984	24	−	−	PROPN
cana-4144	984	25			NUM
cana-4144	984	26			NOUN
cana-4144	984	27			VERB
cana-4144	984	28			NUM
cana-4144	984	29	=	=	PUNCT
cana-4144	984	30	.	.	PUNCT
cana-4144	985	1	thus	thus	ADV
cana-4144	985	2	,	,	PUNCT
cana-4144	985	3	if	if	SCONJ
cana-4144	985	4	1	1	NUM
cana-4144	985	5	2	2	NUM
cana-4144	985	6	1,g	1,g	NUM
cana-4144	985	7	g	g	NOUN
cana-4144	985	8			NOUN
cana-4144	985	9			PROPN
cana-4144	985	10	then	then	ADV
cana-4144	985	11	1	1	NUM
cana-4144	985	12	2	2	NUM
cana-4144	985	13	1(1	1(1	NUM
cana-4144	985	14	)	)	PUNCT
cana-4144	985	15	g	g	PROPN
cana-4144	985	16	g	g	PROPN
cana-4144	985	17			PROPN
cana-4144	985	18			ADJ
cana-4144	985	19	+	+	NOUN
cana-4144	985	20	−	−	PROPN
cana-4144	985	21			NOUN
cana-4144	985	22	.	.	PUNCT
cana-4144	986	1	therefore	therefore	ADV
cana-4144	986	2	1	1	NUM
cana-4144	986	3			X
cana-4144	986	4			PROPN
cana-4144	986	5	is	be	AUX
cana-4144	986	6	convex	convex	NOUN
cana-4144	986	7	.	.	PUNCT
cana-4144	987	1	which	which	PRON
cana-4144	987	2	implies	imply	VERB
cana-4144	987	3	that	that	SCONJ
cana-4144	987	4	1	1	NUM
cana-4144	987	5	is	be	AUX
cana-4144	987	6	convex	convex	PROPN
cana-4144	987	7	.	.	PUNCT
cana-4144	988	1	theorem	theorem	VERB
cana-4144	988	2	4.9	4.9	NUM
cana-4144	988	3	.	.	PUNCT
cana-4144	989	1	let	let	VERB
cana-4144	989	2	1	1	NUM
cana-4144	989	3	,	,	PUNCT
cana-4144	989	4	2	2	NUM
cana-4144	989	5	be	be	AUX
cana-4144	989	6	a	a	DET
cana-4144	989	7	signed	sign	VERB
cana-4144	989	8	fuzzy	fuzzy	ADJ
cana-4144	989	9	set	set	NOUN
cana-4144	989	10	x	x	X
cana-4144	989	11	.	.	PUNCT
cana-4144	990	1	then	then	ADV
cana-4144	990	2	the	the	DET
cana-4144	990	3	following	follow	VERB
cana-4144	990	4	properties	property	NOUN
cana-4144	990	5	holds	hold	VERB
cana-4144	990	6	for	for	ADP
cana-4144	990	7	all	all	DET
cana-4144	990	8			PROPN
cana-4144	990	9			PROPN
cana-4144	990	10	,	,	PUNCT
cana-4144	990	11	1,1	1,1	NUM
cana-4144	990	12			PROPN
cana-4144	990	13			NOUN
cana-4144	990	14	−	−	PROPN
cana-4144	990	15	1	1	NUM
cana-4144	990	16	.	.	NOUN
cana-4144	990	17	1	1	NUM
cana-4144	990	18	1	1	NUM
cana-4144	990	19			NOUN
cana-4144	990	20	+	+	NOUN
cana-4144	990	21			PROPN
cana-4144	990	22			PROPN
cana-4144	990	23			NUM
cana-4144	990	24	.	.	PUNCT
cana-4144	991	1	2	2	X
cana-4144	991	2	.	.	NUM
cana-4144	991	3			NOUN
cana-4144	991	4			NOUN
cana-4144	991	5	,	,	PUNCT
cana-4144	991	6	then	then	ADV
cana-4144	991	7	1	1	NUM
cana-4144	991	8	1	1	NUM
cana-4144	991	9			NOUN
cana-4144	991	10			NOUN
cana-4144	991	11			PROPN
cana-4144	991	12			PROPN
cana-4144	991	13			PRON
cana-4144	991	14	and	and	CCONJ
cana-4144	991	15	1	1	NUM
cana-4144	991	16	1	1	NUM
cana-4144	991	17			NOUN
cana-4144	991	18	+	+	NOUN
cana-4144	991	19	+	+	CCONJ
cana-4144	991	20			PROPN
cana-4144	991	21			PROPN
cana-4144	991	22			NUM
cana-4144	991	23	.	.	PUNCT
cana-4144	992	1	3	3	X
cana-4144	992	2	.	.	X
cana-4144	992	3	(	(	PUNCT
cana-4144	992	4	)	)	SYM
cana-4144	992	5	1	1	NUM
cana-4144	992	6	2	2	NUM
cana-4144	992	7	1	1	NUM
cana-4144	992	8	2	2	NUM
cana-4144	992	9			NOUN
cana-4144	992	10			X
cana-4144	992	11			PRON
cana-4144	992	12			PROPN
cana-4144	992	13			PROPN
cana-4144	992	14			PROPN
cana-4144	992	15			PROPN
cana-4144	992	16			X
cana-4144	992	17	=	=	NOUN
cana-4144	992	18			NOUN
cana-4144	992	19			X
cana-4144	992	20	and	and	CCONJ
cana-4144	992	21	(	(	PUNCT
cana-4144	992	22	)	)	SYM
cana-4144	992	23	1	1	NUM
cana-4144	992	24	2	2	NUM
cana-4144	992	25	1	1	NUM
cana-4144	992	26	2	2	NUM
cana-4144	992	27			NOUN
cana-4144	992	28			X
cana-4144	992	29			PRON
cana-4144	992	30			PROPN
cana-4144	992	31			PROPN
cana-4144	992	32			PROPN
cana-4144	992	33			PROPN
cana-4144	992	34			ADV
cana-4144	992	35	=	=	NOUN
cana-4144	992	36			NOUN
cana-4144	992	37			NUM
cana-4144	992	38	.	.	PUNCT
cana-4144	993	1	4	4	X
cana-4144	993	2	.	.	X
cana-4144	993	3	(	(	PUNCT
cana-4144	993	4	)	)	SYM
cana-4144	993	5	1	1	NUM
cana-4144	993	6	2	2	NUM
cana-4144	993	7	1	1	NUM
cana-4144	993	8	2	2	NUM
cana-4144	993	9			NOUN
cana-4144	993	10			NOUN
cana-4144	993	11	+	+	NOUN
cana-4144	993	12	+	+	X
cana-4144	993	13	+	+	CCONJ
cana-4144	993	14			PROPN
cana-4144	993	15			PROPN
cana-4144	993	16			PROPN
cana-4144	993	17			PROPN
cana-4144	993	18			X
cana-4144	993	19	=	=	NOUN
cana-4144	993	20			NOUN
cana-4144	993	21			X
cana-4144	993	22	and	and	CCONJ
cana-4144	993	23	(	(	PUNCT
cana-4144	993	24	)	)	SYM
cana-4144	993	25	1	1	NUM
cana-4144	993	26	2	2	NUM
cana-4144	993	27	1	1	NUM
cana-4144	993	28	2	2	NUM
cana-4144	993	29			NOUN
cana-4144	993	30			NOUN
cana-4144	993	31	+	+	NOUN
cana-4144	993	32	+	+	X
cana-4144	993	33	+	+	CCONJ
cana-4144	993	34			PROPN
cana-4144	993	35			PROPN
cana-4144	993	36			PROPN
cana-4144	993	37			PROPN
cana-4144	993	38			ADV
cana-4144	993	39	=	=	NOUN
cana-4144	993	40			NOUN
cana-4144	993	41			NUM
cana-4144	993	42	.	.	PUNCT
cana-4144	994	1	communications	communication	NOUN
cana-4144	994	2	on	on	ADP
cana-4144	994	3	applied	apply	VERB
cana-4144	994	4	nonlinear	nonlinear	ADJ
cana-4144	994	5	analysis	analysis	NOUN
cana-4144	994	6	issn	issn	NOUN
cana-4144	994	7	:	:	PUNCT
cana-4144	994	8	1074	1074	NUM
cana-4144	994	9	-	-	PUNCT
cana-4144	994	10	133x	133x	NUM
cana-4144	994	11	vol	vol	NOUN
cana-4144	994	12	x	x	NOUN
cana-4144	994	13	no	no	INTJ
cana-4144	994	14	.	.	PUNCT
cana-4144	995	1	y	y	PROPN
cana-4144	995	2	(	(	PUNCT
cana-4144	995	3	2025	2025	NUM
cana-4144	995	4	)	)	PUNCT
cana-4144	995	5	1346	1346	NUM
cana-4144	995	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	995	7	proof	proof	NOUN
cana-4144	995	8	.	.	PUNCT
cana-4144	996	1	1	1	X
cana-4144	996	2	.	.	X
cana-4144	997	1	if	if	SCONJ
cana-4144	997	2	1	1	NUM
cana-4144	997	3	g	g	NOUN
cana-4144	997	4	+	+	NOUN
cana-4144	997	5			NOUN
cana-4144	997	6	,	,	PUNCT
cana-4144	997	7	which	which	PRON
cana-4144	997	8	implies	imply	VERB
cana-4144	997	9	1	1	NUM
cana-4144	997	10	(	(	PUNCT
cana-4144	997	11	)	)	PUNCT
cana-4144	997	12	g	g	NOUN
cana-4144	997	13			PRON
cana-4144	997	14			INTJ
cana-4144	997	15	,	,	PUNCT
cana-4144	997	16	then	then	ADV
cana-4144	997	17	1	1	NUM
cana-4144	997	18	g	g	NOUN
cana-4144	997	19	+	+	NOUN
cana-4144	997	20			NOUN
cana-4144	997	21	.	.	PUNCT
cana-4144	998	1	hence	hence	ADV
cana-4144	998	2	1	1	NUM
cana-4144	998	3	1	1	NUM
cana-4144	998	4			NOUN
cana-4144	998	5	+	+	NOUN
cana-4144	998	6			PROPN
cana-4144	998	7			PROPN
cana-4144	998	8			NUM
cana-4144	998	9	.	.	PUNCT
cana-4144	999	1	2	2	X
cana-4144	999	2	.	.	X
cana-4144	1000	1	if	if	SCONJ
cana-4144	1000	2			NOUN
cana-4144	1000	3			VERB
cana-4144	1000	4	,	,	PUNCT
cana-4144	1000	5	then	then	ADV
cana-4144	1000	6	1	1	NUM
cana-4144	1000	7	1	1	NUM
cana-4144	1000	8			NOUN
cana-4144	1000	9			NOUN
cana-4144	1000	10			PROPN
cana-4144	1000	11			PROPN
cana-4144	1000	12			PROPN
cana-4144	1000	13	.	.	PUNCT
cana-4144	1001	1	let	let	VERB
cana-4144	1001	2	1	1	NUM
cana-4144	1001	3	(	(	PUNCT
cana-4144	1001	4	)	)	PUNCT
cana-4144	1001	5	g	g	PROPN
cana-4144	1001	6			PROPN
cana-4144	1001	7			PROPN
cana-4144	1001	8			NOUN
cana-4144	1001	9			NOUN
cana-4144	1001	10	,	,	PUNCT
cana-4144	1001	11	which	which	PRON
cana-4144	1001	12	implies	imply	VERB
cana-4144	1001	13	1	1	NUM
cana-4144	1001	14	(	(	PUNCT
cana-4144	1001	15	)	)	PUNCT
cana-4144	1001	16	g	g	NOUN
cana-4144	1001	17			NOUN
cana-4144	1001	18			NOUN
cana-4144	1001	19	.	.	PUNCT
cana-4144	1002	1	therefore	therefore	ADV
cana-4144	1002	2	1	1	NUM
cana-4144	1002	3	g	g	NOUN
cana-4144	1002	4			NOUN
cana-4144	1002	5			PROPN
cana-4144	1002	6	.	.	PUNCT
cana-4144	1003	1	hence	hence	ADV
cana-4144	1003	2	1	1	NUM
cana-4144	1003	3	1	1	NUM
cana-4144	1003	4			NOUN
cana-4144	1003	5			NOUN
cana-4144	1003	6			PROPN
cana-4144	1003	7			PROPN
cana-4144	1003	8			PRON
cana-4144	1003	9	.	.	PUNCT
cana-4144	1004	1	similarly	similarly	ADV
cana-4144	1004	2	1	1	NUM
cana-4144	1004	3	1	1	NUM
cana-4144	1004	4			NOUN
cana-4144	1004	5	+	+	NOUN
cana-4144	1004	6	+	+	CCONJ
cana-4144	1004	7			PROPN
cana-4144	1004	8			PROPN
cana-4144	1004	9			NUM
cana-4144	1004	10	.	.	PUNCT
cana-4144	1005	1	3	3	X
cana-4144	1005	2	.	.	X
cana-4144	1006	1	if	if	SCONJ
cana-4144	1006	2	(	(	PUNCT
cana-4144	1006	3	)	)	SYM
cana-4144	1006	4	1	1	NUM
cana-4144	1006	5	2	2	NUM
cana-4144	1006	6	g	g	NOUN
cana-4144	1006	7			NOUN
cana-4144	1006	8			PROPN
cana-4144	1006	9			NOUN
cana-4144	1006	10			NOUN
cana-4144	1006	11			NOUN
cana-4144	1006	12	,	,	PUNCT
cana-4144	1006	13	then	then	ADV
cana-4144	1006	14	(	(	PUNCT
cana-4144	1006	15	)	)	SYM
cana-4144	1006	16	1	1	NUM
cana-4144	1006	17	2	2	NUM
cana-4144	1006	18	(	(	PUNCT
cana-4144	1006	19	)	)	PUNCT
cana-4144	1007	1	g	g	NOUN
cana-4144	1007	2			X
cana-4144	1007	3			X
cana-4144	1007	4			X
cana-4144	1007	5			NUM
cana-4144	1007	6	.	.	PUNCT
cana-4144	1008	1	therefore	therefore	ADV
cana-4144	1008	2	,	,	PUNCT
cana-4144	1008	3			ADJ
cana-4144	1008	4	1	1	NOUN
cana-4144	1008	5	2	2	NUM
cana-4144	1008	6	(	(	PUNCT
cana-4144	1008	7	)	)	PUNCT
cana-4144	1008	8	,	,	PUNCT
cana-4144	1008	9	(	(	PUNCT
cana-4144	1008	10	)	)	PUNCT
cana-4144	1008	11	min	min	NOUN
cana-4144	1009	1	g	g	PROPN
cana-4144	1009	2	g	g	PROPN
cana-4144	1009	3			X
cana-4144	1009	4			X
cana-4144	1009	5			NOUN
cana-4144	1009	6			NUM
cana-4144	1009	7	.	.	PUNCT
cana-4144	1010	1	this	this	PRON
cana-4144	1010	2	implies	imply	VERB
cana-4144	1010	3	1	1	NUM
cana-4144	1010	4	(	(	PUNCT
cana-4144	1010	5	)	)	PUNCT
cana-4144	1010	6	g	g	NOUN
cana-4144	1010	7			PRON
cana-4144	1010	8			NUM
cana-4144	1010	9	and	and	CCONJ
cana-4144	1010	10	2	2	NUM
cana-4144	1010	11	(	(	PUNCT
cana-4144	1010	12	)	)	PUNCT
cana-4144	1010	13	g	g	NOUN
cana-4144	1010	14			PRON
cana-4144	1010	15			NUM
cana-4144	1010	16	.	.	PUNCT
cana-4144	1011	1	hence	hence	ADV
cana-4144	1011	2	,	,	PUNCT
cana-4144	1011	3	1	1	NUM
cana-4144	1011	4	g	g	NOUN
cana-4144	1011	5			NOUN
cana-4144	1011	6			NOUN
cana-4144	1011	7	and	and	CCONJ
cana-4144	1011	8	2	2	NUM
cana-4144	1011	9	g	g	NOUN
cana-4144	1011	10			NOUN
cana-4144	1011	11			PROPN
cana-4144	1011	12	.	.	PUNCT
cana-4144	1012	1	therefore	therefore	ADV
cana-4144	1012	2	,	,	PUNCT
cana-4144	1012	3	1	1	NUM
cana-4144	1012	4	2	2	NUM
cana-4144	1012	5	g	g	NOUN
cana-4144	1012	6			NOUN
cana-4144	1012	7			PRON
cana-4144	1012	8			PROPN
cana-4144	1012	9			PROPN
cana-4144	1012	10			NOUN
cana-4144	1012	11	.	.	PUNCT
cana-4144	1013	1	hence	hence	ADV
cana-4144	1013	2	,	,	PUNCT
cana-4144	1013	3	(	(	PUNCT
cana-4144	1013	4	)	)	SYM
cana-4144	1013	5	1	1	NUM
cana-4144	1013	6	2	2	NUM
cana-4144	1013	7	1	1	NUM
cana-4144	1013	8	2	2	NUM
cana-4144	1013	9			NOUN
cana-4144	1013	10			X
cana-4144	1013	11			PRON
cana-4144	1013	12			PROPN
cana-4144	1013	13			PROPN
cana-4144	1013	14			PROPN
cana-4144	1013	15			PROPN
cana-4144	1013	16			X
cana-4144	1013	17			PRON
cana-4144	1013	18			NOUN
cana-4144	1013	19	.	.	PUNCT
cana-4144	1014	1	similarly	similarly	ADV
cana-4144	1014	2	,	,	PUNCT
cana-4144	1014	3	let	let	VERB
cana-4144	1014	4	1	1	NUM
cana-4144	1014	5	2	2	NUM
cana-4144	1014	6	g	g	NOUN
cana-4144	1014	7			NOUN
cana-4144	1014	8			PRON
cana-4144	1014	9			PROPN
cana-4144	1014	10			PROPN
cana-4144	1014	11			X
cana-4144	1014	12	,	,	PUNCT
cana-4144	1014	13	which	which	PRON
cana-4144	1014	14	implies	imply	VERB
cana-4144	1014	15	1	1	NUM
cana-4144	1014	16	g	g	NOUN
cana-4144	1014	17			NOUN
cana-4144	1014	18			NOUN
cana-4144	1014	19	and	and	CCONJ
cana-4144	1014	20	2	2	NUM
cana-4144	1014	21	g	g	NOUN
cana-4144	1014	22			NOUN
cana-4144	1014	23			PROPN
cana-4144	1014	24	.	.	PUNCT
cana-4144	1015	1	then	then	ADV
cana-4144	1015	2	,	,	PUNCT
cana-4144	1015	3	1	1	NUM
cana-4144	1015	4	(	(	PUNCT
cana-4144	1015	5	)	)	PUNCT
cana-4144	1015	6	g	g	NOUN
cana-4144	1015	7			NUM
cana-4144	1015	8			NUM
cana-4144	1015	9	and	and	CCONJ
cana-4144	1015	10	1	1	NUM
cana-4144	1015	11	(	(	PUNCT
cana-4144	1015	12	)	)	PUNCT
cana-4144	1015	13	g	g	NOUN
cana-4144	1015	14			X
cana-4144	1015	15			NUM
cana-4144	1015	16	.	.	PUNCT
cana-4144	1016	1	therefore	therefore	ADV
cana-4144	1016	2	,	,	PUNCT
cana-4144	1016	3			ADJ
cana-4144	1016	4	1	1	NOUN
cana-4144	1016	5	2	2	NUM
cana-4144	1016	6	(	(	PUNCT
cana-4144	1016	7	)	)	PUNCT
cana-4144	1016	8	,	,	PUNCT
cana-4144	1016	9	(	(	PUNCT
cana-4144	1016	10	)	)	PUNCT
cana-4144	1016	11	min	min	NOUN
cana-4144	1017	1	g	g	PROPN
cana-4144	1017	2	g	g	PROPN
cana-4144	1017	3			X
cana-4144	1017	4			X
cana-4144	1017	5			NOUN
cana-4144	1017	6			NUM
cana-4144	1017	7	,	,	PUNCT
cana-4144	1017	8	so	so	CCONJ
cana-4144	1017	9	(	(	PUNCT
cana-4144	1017	10	)	)	PUNCT
cana-4144	1017	11	(	(	PUNCT
cana-4144	1017	12	)	)	PUNCT
cana-4144	1017	13	g	g	PROPN
cana-4144	1017	14			PROPN
cana-4144	1017	15			PROPN
cana-4144	1017	16			NUM
cana-4144	1017	17	.	.	PUNCT
cana-4144	1018	1	thus	thus	ADV
cana-4144	1018	2	(	(	PUNCT
cana-4144	1018	3	)	)	SYM
cana-4144	1018	4	1	1	NUM
cana-4144	1018	5	2	2	NUM
cana-4144	1018	6	g	g	NOUN
cana-4144	1018	7			NOUN
cana-4144	1018	8			PROPN
cana-4144	1018	9			NOUN
cana-4144	1018	10			NOUN
cana-4144	1018	11			NOUN
cana-4144	1018	12	.	.	PUNCT
cana-4144	1019	1	hence	hence	ADV
cana-4144	1019	2	,	,	PUNCT
cana-4144	1019	3	(	(	PUNCT
cana-4144	1019	4	)	)	SYM
cana-4144	1019	5	1	1	NUM
cana-4144	1019	6	2	2	NUM
cana-4144	1019	7	1	1	NUM
cana-4144	1019	8	2	2	NUM
cana-4144	1019	9			NUM
cana-4144	1019	10			X
cana-4144	1019	11			PROPN
cana-4144	1019	12			PROPN
cana-4144	1019	13			PROPN
cana-4144	1019	14			PROPN
cana-4144	1019	15			NOUN
cana-4144	1019	16			NOUN
cana-4144	1019	17			NOUN
cana-4144	1019	18			X
cana-4144	1019	19	.	.	PUNCT
cana-4144	1020	1	therefore	therefore	ADV
cana-4144	1020	2	,	,	PUNCT
cana-4144	1020	3	(	(	PUNCT
cana-4144	1020	4	)	)	SYM
cana-4144	1020	5	1	1	NUM
cana-4144	1020	6	2	2	NUM
cana-4144	1020	7	1	1	NUM
cana-4144	1020	8	2	2	NUM
cana-4144	1020	9			NOUN
cana-4144	1020	10			X
cana-4144	1020	11			PRON
cana-4144	1020	12			PROPN
cana-4144	1020	13			PROPN
cana-4144	1020	14			PROPN
cana-4144	1020	15			PROPN
cana-4144	1020	16			X
cana-4144	1020	17	=	=	NOUN
cana-4144	1020	18			NOUN
cana-4144	1020	19			X
cana-4144	1020	20	.	.	PUNCT
cana-4144	1021	1	similarly	similarly	ADV
cana-4144	1021	2	(	(	PUNCT
cana-4144	1021	3	)	)	SYM
cana-4144	1021	4	1	1	NUM
cana-4144	1021	5	2	2	NUM
cana-4144	1021	6	1	1	NUM
cana-4144	1021	7	2	2	NUM
cana-4144	1021	8			NOUN
cana-4144	1021	9			X
cana-4144	1021	10			PRON
cana-4144	1021	11			PROPN
cana-4144	1021	12			PROPN
cana-4144	1021	13			PROPN
cana-4144	1021	14			PROPN
cana-4144	1021	15			ADV
cana-4144	1021	16	=	=	NOUN
cana-4144	1021	17			NOUN
cana-4144	1021	18			NUM
cana-4144	1021	19	.	.	PUNCT
cana-4144	1022	1	4	4	X
cana-4144	1022	2	.	.	NOUN
cana-4144	1022	3	similar	similar	ADJ
cana-4144	1022	4	to	to	ADP
cana-4144	1022	5	(	(	PUNCT
cana-4144	1022	6	3	3	NUM
cana-4144	1022	7	)	)	PUNCT
cana-4144	1022	8	.	.	PUNCT
cana-4144	1023	1	6	6	X
cana-4144	1023	2	.	.	X
cana-4144	1023	3	conclusion	conclusion	NOUN
cana-4144	1023	4	this	this	DET
cana-4144	1023	5	chapter	chapter	NOUN
cana-4144	1023	6	provides	provide	VERB
cana-4144	1023	7	an	an	DET
cana-4144	1023	8	example	example	NOUN
cana-4144	1023	9	and	and	CCONJ
cana-4144	1023	10	definition	definition	NOUN
cana-4144	1023	11	of	of	ADP
cana-4144	1023	12	a	a	DET
cana-4144	1023	13	signed	sign	VERB
cana-4144	1023	14	fuzzy	fuzzy	ADJ
cana-4144	1023	15	set	set	NOUN
cana-4144	1023	16	.	.	PUNCT
cana-4144	1024	1	examples	example	NOUN
cana-4144	1024	2	of	of	ADP
cana-4144	1024	3	signed	sign	VERB
cana-4144	1024	4	fuzzy	fuzzy	ADJ
cana-4144	1024	5	sets	set	NOUN
cana-4144	1024	6	'	'	PART
cana-4144	1024	7	complement	complement	NOUN
cana-4144	1024	8	,	,	PUNCT
cana-4144	1024	9	union	union	NOUN
cana-4144	1024	10	,	,	PUNCT
cana-4144	1024	11	intersection	intersection	NOUN
cana-4144	1024	12	,	,	PUNCT
cana-4144	1024	13	and	and	CCONJ
cana-4144	1024	14	composition	composition	NOUN
cana-4144	1024	15	are	be	AUX
cana-4144	1024	16	provided	provide	VERB
cana-4144	1024	17	,	,	PUNCT
cana-4144	1024	18	and	and	CCONJ
cana-4144	1024	19	the	the	DET
cana-4144	1024	20	outcomes	outcome	NOUN
cana-4144	1024	21	are	be	AUX
cana-4144	1024	22	examined	examine	VERB
cana-4144	1024	23	.	.	PUNCT
cana-4144	1025	1	examples	example	NOUN
cana-4144	1025	2	of	of	ADP
cana-4144	1025	3	signed	sign	VERB
cana-4144	1025	4	-	-	PUNCT
cana-4144	1025	5	frs	frs	PROPN
cana-4144	1025	6	are	be	AUX
cana-4144	1025	7	shown	show	VERB
cana-4144	1025	8	,	,	PUNCT
cana-4144	1025	9	and	and	CCONJ
cana-4144	1025	10	the	the	DET
cana-4144	1025	11	outcomes	outcome	NOUN
cana-4144	1025	12	are	be	AUX
cana-4144	1025	13	examined	examine	VERB
cana-4144	1025	14	.	.	PUNCT
cana-4144	1026	1	there	there	PRON
cana-4144	1026	2	is	be	VERB
cana-4144	1026	3	a	a	DET
cana-4144	1026	4	discussion	discussion	NOUN
cana-4144	1026	5	of	of	ADP
cana-4144	1026	6	the	the	DET
cana-4144	1026	7	definitions	definition	NOUN
cana-4144	1026	8	of	of	ADP
cana-4144	1026	9	transitive	transitive	ADJ
cana-4144	1026	10	,	,	PUNCT
cana-4144	1026	11	symmetric	symmetric	ADJ
cana-4144	1026	12	,	,	PUNCT
cana-4144	1026	13	reflexive	reflexive	ADJ
cana-4144	1026	14	,	,	PUNCT
cana-4144	1026	15	and	and	CCONJ
cana-4144	1026	16	irreflexive	irreflexive	ADJ
cana-4144	1026	17	relations	relation	NOUN
cana-4144	1026	18	.	.	PUNCT
cana-4144	1027	1	results	result	NOUN
cana-4144	1027	2	are	be	AUX
cana-4144	1027	3	also	also	ADV
cana-4144	1027	4	presented	present	VERB
cana-4144	1027	5	for	for	ADP
cana-4144	1027	6	alpha	alpha	NOUN
cana-4144	1027	7	-	-	PUNCT
cana-4144	1027	8	cuts	cut	NOUN
cana-4144	1027	9	and	and	CCONJ
cana-4144	1027	10	strong	strong	ADJ
cana-4144	1027	11	alpha	alpha	NOUN
cana-4144	1027	12	-	-	PUNCT
cana-4144	1027	13	cuts	cut	NOUN
cana-4144	1027	14	of	of	ADP
cana-4144	1027	15	signed	sign	VERB
cana-4144	1027	16	-	-	PUNCT
cana-4144	1027	17	frs	frs	ADJ
cana-4144	1027	18	.	.	PUNCT
cana-4144	1028	1	this	this	DET
cana-4144	1028	2	idea	idea	NOUN
cana-4144	1028	3	can	can	AUX
cana-4144	1028	4	be	be	AUX
cana-4144	1028	5	expanded	expand	VERB
cana-4144	1028	6	into	into	ADP
cana-4144	1028	7	neutrosophic	neutrosophic	ADJ
cana-4144	1028	8	sets	set	NOUN
cana-4144	1028	9	,	,	PUNCT
cana-4144	1028	10	plithogenic	plithogenic	ADJ
cana-4144	1028	11	sets	set	NOUN
cana-4144	1028	12	,	,	PUNCT
cana-4144	1028	13	and	and	CCONJ
cana-4144	1028	14	interval	interval	NOUN
cana-4144	1028	15	-	-	PUNCT
cana-4144	1028	16	valued	value	VERB
cana-4144	1028	17	signed	sign	VERB
cana-4144	1028	18	-	-	PUNCT
cana-4144	1028	19	frs	frs	ADJ
cana-4144	1028	20	.	.	PUNCT
cana-4144	1029	1	numerous	numerous	ADJ
cana-4144	1029	2	real	real	ADJ
cana-4144	1029	3	-	-	PUNCT
cana-4144	1029	4	time	time	NOUN
cana-4144	1029	5	applications	application	NOUN
cana-4144	1029	6	can	can	AUX
cana-4144	1029	7	make	make	VERB
cana-4144	1029	8	use	use	NOUN
cana-4144	1029	9	of	of	ADP
cana-4144	1029	10	it	it	PRON
cana-4144	1029	11	.	.	PUNCT
cana-4144	1030	1	7	7	X
cana-4144	1030	2	.	.	X
cana-4144	1030	3	acknowledgment	acknowledgment	NOUN
cana-4144	1030	4	the	the	DET
cana-4144	1030	5	authors	author	NOUN
cana-4144	1030	6	express	express	VERB
cana-4144	1030	7	gratitude	gratitude	NOUN
cana-4144	1030	8	to	to	ADP
cana-4144	1030	9	the	the	DET
cana-4144	1030	10	editor	editor	NOUN
cana-4144	1030	11	and	and	CCONJ
cana-4144	1030	12	anonymous	anonymous	ADJ
cana-4144	1030	13	referees	referee	NOUN
cana-4144	1030	14	for	for	ADP
cana-4144	1030	15	reviewing	review	VERB
cana-4144	1030	16	this	this	DET
cana-4144	1030	17	manuscript	manuscript	NOUN
cana-4144	1030	18	and	and	CCONJ
cana-4144	1030	19	providing	provide	VERB
cana-4144	1030	20	helpful	helpful	ADJ
cana-4144	1030	21	suggestions	suggestion	NOUN
cana-4144	1030	22	and	and	CCONJ
cana-4144	1030	23	comments	comment	NOUN
cana-4144	1030	24	8	8	NUM
cana-4144	1030	25	.	.	PUNCT
cana-4144	1031	1	references	reference	NOUN
cana-4144	1031	2	[	[	X
cana-4144	1031	3	1	1	NUM
cana-4144	1031	4	]	]	X
cana-4144	1031	5	zadeh	zadeh	PROPN
cana-4144	1031	6	,	,	PUNCT
cana-4144	1031	7	lotfi	lotfi	X
cana-4144	1031	8	a	a	DET
cana-4144	1031	9	,	,	PUNCT
cana-4144	1031	10	fuzzy	fuzzy	ADJ
cana-4144	1031	11	sets	set	NOUN
cana-4144	1031	12	,	,	PUNCT
cana-4144	1031	13	(	(	PUNCT
cana-4144	1031	14	information	information	NOUN
cana-4144	1031	15	and	and	CCONJ
cana-4144	1031	16	control	control	NOUN
cana-4144	1031	17	,	,	PUNCT
cana-4144	1031	18	1965	1965	NUM
cana-4144	1031	19	)	)	PUNCT
cana-4144	1031	20	,	,	PUNCT
cana-4144	1031	21	pp	pp	ADJ
cana-4144	1031	22	.	.	PUNCT
cana-4144	1032	1	338–353	338–353	NUM
cana-4144	1032	2	.	.	PUNCT
cana-4144	1033	1	[	[	X
cana-4144	1033	2	2	2	NUM
cana-4144	1033	3	]	]	SYM
cana-4144	1033	4	zadeh	zadeh	PROPN
cana-4144	1033	5	,	,	PUNCT
cana-4144	1033	6	lotfi	lotfi	PROPN
cana-4144	1033	7	a	a	DET
cana-4144	1033	8	,	,	PUNCT
cana-4144	1033	9	similarity	similarity	NOUN
cana-4144	1033	10	relations	relation	NOUN
cana-4144	1033	11	and	and	CCONJ
cana-4144	1033	12	fuzzy	fuzzy	ADJ
cana-4144	1033	13	orderings	ordering	NOUN
cana-4144	1033	14	,	,	PUNCT
cana-4144	1033	15	(	(	PUNCT
cana-4144	1033	16	information	information	NOUN
cana-4144	1033	17	sciences	science	NOUN
cana-4144	1033	18	,	,	PUNCT
cana-4144	1033	19	1971	1971	NUM
cana-4144	1033	20	)	)	PUNCT
cana-4144	1033	21	,	,	PUNCT
cana-4144	1033	22	pp	pp	ADP
cana-4144	1033	23	.	.	PUNCT
cana-4144	1034	1	177–200	177–200	NUM
cana-4144	1034	2	.	.	PUNCT
cana-4144	1035	1	[	[	X
cana-4144	1035	2	3	3	NUM
cana-4144	1035	3	]	]	X
cana-4144	1035	4	atanassov	atanassov	NOUN
cana-4144	1035	5	,	,	PUNCT
cana-4144	1035	6	krassimir	krassimir	PROPN
cana-4144	1035	7	,	,	PUNCT
cana-4144	1035	8	intuitionistic	intuitionistic	ADJ
cana-4144	1035	9	fuzzy	fuzzy	ADJ
cana-4144	1035	10	sets	set	NOUN
cana-4144	1035	11	,	,	PUNCT
cana-4144	1035	12	(	(	PUNCT
cana-4144	1035	13	fuzzy	fuzzy	ADJ
cana-4144	1035	14	sets	set	NOUN
cana-4144	1035	15	and	and	CCONJ
cana-4144	1035	16	systems	system	NOUN
cana-4144	1035	17	,	,	PUNCT
cana-4144	1035	18	1986	1986	NUM
cana-4144	1035	19	)	)	PUNCT
cana-4144	1035	20	,	,	PUNCT
cana-4144	1035	21	pp	pp	ADP
cana-4144	1035	22	.	.	PUNCT
cana-4144	1036	1	87	87	NUM
cana-4144	1036	2	–	–	PUNCT
cana-4144	1036	3	96	96	NUM
cana-4144	1036	4	.	.	PUNCT
cana-4144	1037	1	[	[	X
cana-4144	1037	2	4	4	X
cana-4144	1037	3	]	]	X
cana-4144	1037	4	gorza	gorza	NOUN
cana-4144	1037	5	lczany	lczany	NOUN
cana-4144	1037	6	,	,	PUNCT
cana-4144	1037	7	marian	marian	PROPN
cana-4144	1037	8	b	b	PROPN
cana-4144	1037	9	,	,	PUNCT
cana-4144	1037	10	a	a	DET
cana-4144	1037	11	method	method	NOUN
cana-4144	1037	12	of	of	ADP
cana-4144	1037	13	inference	inference	NOUN
cana-4144	1037	14	in	in	ADP
cana-4144	1037	15	approximate	approximate	ADJ
cana-4144	1037	16	reasoning	reasoning	NOUN
cana-4144	1037	17	based	base	VERB
cana-4144	1037	18	on	on	ADP
cana-4144	1037	19	interval	interval	NOUN
cana-4144	1037	20	-	-	PUNCT
cana-4144	1037	21	valued	value	VERB
cana-4144	1037	22	fuzzy	fuzzy	ADJ
cana-4144	1037	23	sets	set	NOUN
cana-4144	1037	24	,	,	PUNCT
cana-4144	1037	25	(	(	PUNCT
cana-4144	1037	26	fuzzy	fuzzy	ADJ
cana-4144	1037	27	sets	set	NOUN
cana-4144	1037	28	and	and	CCONJ
cana-4144	1037	29	systems	system	NOUN
cana-4144	1037	30	,	,	PUNCT
cana-4144	1037	31	1987	1987	NUM
cana-4144	1037	32	)	)	PUNCT
cana-4144	1037	33	,	,	PUNCT
cana-4144	1037	34	pp	pp	ADP
cana-4144	1037	35	.	.	PUNCT
cana-4144	1038	1	1–17	1–17	NOUN
cana-4144	1038	2	.	.	PUNCT
cana-4144	1039	1	[	[	X
cana-4144	1039	2	5	5	NUM
cana-4144	1039	3	]	]	X
cana-4144	1039	4	dib	dib	PROPN
cana-4144	1039	5	,	,	PUNCT
cana-4144	1039	6	ka	ka	PROPN
cana-4144	1039	7	and	and	CCONJ
cana-4144	1039	8	youssef	youssef	PROPN
cana-4144	1039	9	,	,	PUNCT
cana-4144	1039	10	nabil	nabil	PROPN
cana-4144	1039	11	,	,	PUNCT
cana-4144	1039	12	l	l	NOUN
cana-4144	1039	13	,	,	PUNCT
cana-4144	1039	14	fuzzy	fuzzy	ADJ
cana-4144	1039	15	cartesian	cartesian	ADJ
cana-4144	1039	16	product	product	NOUN
cana-4144	1039	17	,	,	PUNCT
cana-4144	1039	18	fuzzy	fuzzy	ADJ
cana-4144	1039	19	relations	relation	NOUN
cana-4144	1039	20	and	and	CCONJ
cana-4144	1039	21	fuzzy	fuzzy	ADJ
cana-4144	1039	22	functions	function	NOUN
cana-4144	1039	23	,	,	PUNCT
cana-4144	1039	24	(	(	PUNCT
cana-4144	1039	25	fuzzy	fuzzy	ADJ
cana-4144	1039	26	sets	set	NOUN
cana-4144	1039	27	and	and	CCONJ
cana-4144	1039	28	systems	system	NOUN
cana-4144	1039	29	,	,	PUNCT
cana-4144	1039	30	1991	1991	NUM
cana-4144	1039	31	)	)	PUNCT
cana-4144	1039	32	,	,	PUNCT
cana-4144	1039	33	pp	pp	ADP
cana-4144	1039	34	.	.	PUNCT
cana-4144	1040	1	299–315	299–315	NUM
cana-4144	1040	2	.	.	PUNCT
cana-4144	1041	1	[	[	X
cana-4144	1041	2	6	6	NUM
cana-4144	1041	3	]	]	X
cana-4144	1041	4	kaufman	kaufman	PROPN
cana-4144	1041	5	,	,	PUNCT
cana-4144	1041	6	arnold	arnold	PROPN
cana-4144	1041	7	and	and	CCONJ
cana-4144	1041	8	gupta	gupta	PROPN
cana-4144	1041	9	,	,	PUNCT
cana-4144	1041	10	madan	madan	PROPN
cana-4144	1041	11	m	m	PROPN
cana-4144	1041	12	,	,	PUNCT
cana-4144	1041	13	introduction	introduction	NOUN
cana-4144	1041	14	to	to	ADP
cana-4144	1041	15	fuzzy	fuzzy	ADJ
cana-4144	1041	16	arithmetic	arithmetic	ADJ
cana-4144	1041	17	,	,	PUNCT
cana-4144	1041	18	1991	1991	NUM
cana-4144	1041	19	.	.	PUNCT
cana-4144	1042	1	communications	communication	NOUN
cana-4144	1042	2	on	on	ADP
cana-4144	1042	3	applied	apply	VERB
cana-4144	1042	4	nonlinear	nonlinear	ADJ
cana-4144	1042	5	analysis	analysis	NOUN
cana-4144	1042	6	issn	issn	NOUN
cana-4144	1042	7	:	:	PUNCT
cana-4144	1042	8	1074	1074	NUM
cana-4144	1042	9	-	-	PUNCT
cana-4144	1042	10	133x	133x	NUM
cana-4144	1042	11	vol	vol	NOUN
cana-4144	1042	12	x	x	NOUN
cana-4144	1042	13	no	no	INTJ
cana-4144	1042	14	.	.	PUNCT
cana-4144	1043	1	y	y	PROPN
cana-4144	1043	2	(	(	PUNCT
cana-4144	1043	3	2025	2025	NUM
cana-4144	1043	4	)	)	PUNCT
cana-4144	1043	5	1347	1347	NUM
cana-4144	1043	6	https://internationalpubls.com	https://internationalpubls.com	X
cana-4144	1044	1	[	[	X
cana-4144	1044	2	7	7	NUM
cana-4144	1044	3	]	]	X
cana-4144	1044	4	zhang	zhang	PROPN
cana-4144	1044	5	,	,	PUNCT
cana-4144	1044	6	w	w	NOUN
cana-4144	1044	7	-	-	PUNCT
cana-4144	1044	8	r	r	NOUN
cana-4144	1044	9	,	,	PUNCT
cana-4144	1044	10	bipolar	bipolar	ADJ
cana-4144	1044	11	fuzzy	fuzzy	ADJ
cana-4144	1044	12	sets	set	NOUN
cana-4144	1044	13	,	,	PUNCT
cana-4144	1044	14	(	(	PUNCT
cana-4144	1044	15	ieee	ieee	PROPN
cana-4144	1044	16	international	international	ADJ
cana-4144	1044	17	conference	conference	NOUN
cana-4144	1044	18	on	on	ADP
cana-4144	1044	19	fuzzy	fuzzy	ADJ
cana-4144	1044	20	systems	system	NOUN
cana-4144	1044	21	proceedings	proceeding	NOUN
cana-4144	1044	22	,	,	PUNCT
cana-4144	1044	23	1998	1998	NUM
cana-4144	1044	24	)	)	PUNCT
cana-4144	1044	25	,	,	PUNCT
cana-4144	1044	26	pp	pp	ADP
cana-4144	1044	27	.	.	PUNCT
cana-4144	1045	1	835–840	835–840	NUM
cana-4144	1045	2	.	.	PUNCT
cana-4144	1046	1	[	[	X
cana-4144	1046	2	8	8	NUM
cana-4144	1046	3	]	]	X
cana-4144	1046	4	zhang	zhang	PROPN
cana-4144	1046	5	,	,	PUNCT
cana-4144	1046	6	wen	wen	PROPN
cana-4144	1046	7	-	-	PUNCT
cana-4144	1046	8	ran	run	VERB
cana-4144	1046	9	,	,	PUNCT
cana-4144	1046	10	bipolar	bipolar	ADJ
cana-4144	1046	11	fuzzy	fuzzy	ADJ
cana-4144	1046	12	sets	set	NOUN
cana-4144	1046	13	and	and	CCONJ
cana-4144	1046	14	relations	relation	NOUN
cana-4144	1046	15	:	:	PUNCT
cana-4144	1046	16	a	a	DET
cana-4144	1046	17	computational	computational	ADJ
cana-4144	1046	18	framework	framework	NOUN
cana-4144	1046	19	for	for	ADP
cana-4144	1046	20	cognitive	cognitive	ADJ
cana-4144	1046	21	modelling	modelling	NOUN
cana-4144	1046	22	and	and	CCONJ
cana-4144	1046	23	multiagent	multiagent	ADJ
cana-4144	1046	24	decision	decision	NOUN
cana-4144	1046	25	analysis	analysis	NOUN
cana-4144	1046	26	,	,	PUNCT
cana-4144	1046	27	(	(	PUNCT
cana-4144	1046	28	proceedings	proceeding	NOUN
cana-4144	1046	29	of	of	ADP
cana-4144	1046	30	the	the	DET
cana-4144	1046	31	first	first	ADJ
cana-4144	1046	32	international	international	ADJ
cana-4144	1046	33	joint	joint	ADJ
cana-4144	1046	34	conference	conference	NOUN
cana-4144	1046	35	of	of	ADP
cana-4144	1046	36	the	the	DET
cana-4144	1046	37	north	north	ADJ
cana-4144	1046	38	american	american	ADJ
cana-4144	1046	39	fuzzy	fuzzy	ADJ
cana-4144	1046	40	information	information	NOUN
cana-4144	1046	41	processing	processing	NOUN
cana-4144	1046	42	society	society	NOUN
cana-4144	1046	43	biannual	biannual	ADJ
cana-4144	1046	44	conference	conference	NOUN
cana-4144	1046	45	.	.	PUNCT
cana-4144	1047	1	the	the	DET
cana-4144	1047	2	industrial	industrial	ADJ
cana-4144	1047	3	fuzzy	fuzzy	ADJ
cana-4144	1047	4	control	control	NOUN
cana-4144	1047	5	and	and	CCONJ
cana-4144	1047	6	intelligence	intelligence	NOUN
cana-4144	1047	7	,	,	PUNCT
cana-4144	1047	8	1994	1994	NUM
cana-4144	1047	9	)	)	PUNCT
cana-4144	1047	10	,	,	PUNCT
cana-4144	1047	11	pp	pp	ADP
cana-4144	1047	12	.	.	PUNCT
cana-4144	1048	1	305–309	305–309	NUM
cana-4144	1048	2	.	.	PUNCT
cana-4144	1049	1	[	[	X
cana-4144	1049	2	9	9	NUM
cana-4144	1049	3	]	]	SYM
cana-4144	1049	4	zhang	zhang	PROPN
cana-4144	1049	5	,	,	PUNCT
cana-4144	1049	6	wen	wen	PROPN
cana-4144	1049	7	-	-	PUNCT
cana-4144	1049	8	ran	run	VERB
cana-4144	1049	9	and	and	CCONJ
cana-4144	1049	10	zhang	zhang	PROPN
cana-4144	1049	11	,	,	PUNCT
cana-4144	1049	12	lulu	lulu	PROPN
cana-4144	1049	13	,	,	PUNCT
cana-4144	1049	14	yinyang	yinyang	PROPN
cana-4144	1049	15	bipolar	bipolar	ADJ
cana-4144	1049	16	logic	logic	NOUN
cana-4144	1049	17	and	and	CCONJ
cana-4144	1049	18	bipolar	bipolar	ADJ
cana-4144	1049	19	fuzzy	fuzzy	ADJ
cana-4144	1049	20	logic	logic	NOUN
cana-4144	1049	21	,	,	PUNCT
cana-4144	1049	22	(	(	PUNCT
cana-4144	1049	23	information	information	NOUN
cana-4144	1049	24	sciences	science	NOUN
cana-4144	1049	25	,	,	PUNCT
cana-4144	1049	26	2004	2004	NUM
cana-4144	1049	27	)	)	PUNCT
cana-4144	1049	28	,	,	PUNCT
cana-4144	1049	29	pp	pp	ADP
cana-4144	1049	30	.	.	PUNCT
cana-4144	1050	1	265–287	265–287	NUM
cana-4144	1050	2	.	.	PUNCT
cana-4144	1051	1	[	[	X
cana-4144	1051	2	10	10	NUM
cana-4144	1051	3	]	]	X
cana-4144	1051	4	lee	lee	PROPN
cana-4144	1051	5	,	,	PUNCT
cana-4144	1051	6	jeong	jeong	PROPN
cana-4144	1051	7	-	-	PUNCT
cana-4144	1051	8	gon	gon	PROPN
cana-4144	1051	9	and	and	CCONJ
cana-4144	1051	10	hur	hur	PROPN
cana-4144	1051	11	,	,	PUNCT
cana-4144	1051	12	kul	kul	PROPN
cana-4144	1051	13	,	,	PUNCT
cana-4144	1051	14	bipolar	bipolar	ADJ
cana-4144	1051	15	fuzzy	fuzzy	ADJ
cana-4144	1051	16	relations	relation	NOUN
cana-4144	1051	17	,	,	PUNCT
cana-4144	1051	18	(	(	PUNCT
cana-4144	1051	19	mathematics	mathematic	NOUN
cana-4144	1051	20	,	,	PUNCT
cana-4144	1051	21	2019	2019	NUM
cana-4144	1051	22	)	)	PUNCT
cana-4144	1051	23	.	.	PUNCT