id	sid	tid	token	lemma	pos
cana-1998	1	1	communications	communication	NOUN
cana-1998	1	2	on	on	ADP
cana-1998	1	3	applied	apply	VERB
cana-1998	1	4	nonlinear	nonlinear	ADJ
cana-1998	1	5	analysis	analysis	NOUN
cana-1998	1	6	issn	issn	NOUN
cana-1998	1	7	:	:	PUNCT
cana-1998	1	8	1074	1074	NUM
cana-1998	1	9	-	-	PUNCT
cana-1998	1	10	133x	133x	NUM
cana-1998	1	11	vol	vol	NOUN
cana-1998	1	12	32	32	NUM
cana-1998	1	13	no	no	NOUN
cana-1998	1	14	.	.	NOUN
cana-1998	1	15	3	3	NUM
cana-1998	1	16	(	(	PUNCT
cana-1998	1	17	2025	2025	NUM
cana-1998	1	18	)	)	PUNCT
cana-1998	1	19	complex	complex	ADJ
cana-1998	1	20	cubic	cubic	ADJ
cana-1998	1	21	intuitionistic	intuitionistic	ADJ
cana-1998	1	22	fuzzy	fuzzy	ADJ
cana-1998	1	23	set	set	NOUN
cana-1998	1	24	applied	apply	VERB
cana-1998	1	25	to	to	ADP
cana-1998	1	26	subbisemirings	subbisemiring	NOUN
cana-1998	1	27	of	of	ADP
cana-1998	1	28	bisemirings	bisemiring	NOUN
cana-1998	1	29	using	use	VERB
cana-1998	1	30	homomorphism	homomorphism	PROPN
cana-1998	1	31	raed	raed	PROPN
cana-1998	1	32	hatamleh1,∗	hatamleh1,∗	PROPN
cana-1998	1	33	,	,	PUNCT
cana-1998	1	34	abdallah	abdallah	PROPN
cana-1998	1	35	al	al	PROPN
cana-1998	1	36	-	-	PUNCT
cana-1998	1	37	husban2,3	husban2,3	PROPN
cana-1998	1	38	,	,	PUNCT
cana-1998	1	39	n.sundarakannan4	n.sundarakannan4	PROPN
cana-1998	1	40	,	,	PUNCT
cana-1998	1	41	m.	m.	NOUN
cana-1998	1	42	s.	s.	PROPN
cana-1998	1	43	malchijah	malchijah	PROPN
cana-1998	1	44	raj5	raj5	PROPN
cana-1998	1	45	1department	1department	NUM
cana-1998	1	46	of	of	ADP
cana-1998	1	47	mathematics	mathematic	NOUN
cana-1998	1	48	,	,	PUNCT
cana-1998	1	49	faculty	faculty	NOUN
cana-1998	1	50	of	of	ADP
cana-1998	1	51	science	science	NOUN
cana-1998	1	52	and	and	CCONJ
cana-1998	1	53	information	information	NOUN
cana-1998	1	54	technology	technology	NOUN
cana-1998	1	55	,	,	PUNCT
cana-1998	1	56	jadara	jadara	PROPN
cana-1998	1	57	,	,	PUNCT
cana-1998	1	58	university	university	NOUN
cana-1998	1	59	,	,	PUNCT
cana-1998	1	60	p.o	p.o	PROPN
cana-1998	1	61	.	.	PROPN
cana-1998	1	62	box	box	PROPN
cana-1998	1	63	733	733	NUM
cana-1998	1	64	,	,	PUNCT
cana-1998	1	65	irbid	irbid	ADJ
cana-1998	1	66	21110	21110	NUM
cana-1998	1	67	,	,	PUNCT
cana-1998	1	68	jordan	jordan	PROPN
cana-1998	1	69	.	.	PUNCT
cana-1998	2	1	2department	2department	NUM
cana-1998	2	2	of	of	ADP
cana-1998	2	3	mathematics	mathematic	NOUN
cana-1998	2	4	,	,	PUNCT
cana-1998	2	5	faculty	faculty	NOUN
cana-1998	2	6	of	of	ADP
cana-1998	2	7	science	science	NOUN
cana-1998	2	8	and	and	CCONJ
cana-1998	2	9	technology	technology	NOUN
cana-1998	2	10	,	,	PUNCT
cana-1998	2	11	irbid	irbid	ADJ
cana-1998	2	12	,	,	PUNCT
cana-1998	2	13	national	national	ADJ
cana-1998	2	14	university	university	PROPN
cana-1998	2	15	,	,	PUNCT
cana-1998	2	16	p.o	p.o	PROPN
cana-1998	2	17	.	.	PROPN
cana-1998	2	18	box	box	PROPN
cana-1998	2	19	:	:	PUNCT
cana-1998	2	20	2600	2600	NUM
cana-1998	2	21	irbid	irbid	PROPN
cana-1998	2	22	,	,	PUNCT
cana-1998	2	23	jordan	jordan	PROPN
cana-1998	2	24	.	.	PUNCT
cana-1998	3	1	3jadara	3jadara	NUM
cana-1998	3	2	research	research	NOUN
cana-1998	3	3	center	center	NOUN
cana-1998	3	4	,	,	PUNCT
cana-1998	3	5	jadara	jadara	PROPN
cana-1998	3	6	university	university	PROPN
cana-1998	3	7	,	,	PUNCT
cana-1998	3	8	irbid	irbid	VERB
cana-1998	3	9	21110	21110	NUM
cana-1998	3	10	,	,	PUNCT
cana-1998	3	11	jordan	jordan	PROPN
cana-1998	3	12	.	.	PUNCT
cana-1998	4	1	4department	4department	NUM
cana-1998	4	2	of	of	ADP
cana-1998	4	3	mathematics	mathematic	NOUN
cana-1998	4	4	,	,	PUNCT
cana-1998	4	5	srm	srm	PROPN
cana-1998	4	6	valliammai	valliammai	ADJ
cana-1998	4	7	engineering	engineering	PROPN
cana-1998	4	8	college	college	PROPN
cana-1998	4	9	,	,	PUNCT
cana-1998	4	10	kattankulathur	kattankulathur	ADJ
cana-1998	4	11	,	,	PUNCT
cana-1998	4	12	chennai-603203	chennai-603203	NOUN
cana-1998	4	13	,	,	PUNCT
cana-1998	4	14	india	india	PROPN
cana-1998	4	15	.	.	PUNCT
cana-1998	5	1	5department	5department	NUM
cana-1998	5	2	of	of	ADP
cana-1998	5	3	mathematics	mathematic	NOUN
cana-1998	5	4	,	,	PUNCT
cana-1998	5	5	saveetha	saveetha	PROPN
cana-1998	5	6	school	school	PROPN
cana-1998	5	7	of	of	ADP
cana-1998	5	8	engineering	engineering	PROPN
cana-1998	5	9	,	,	PUNCT
cana-1998	5	10	saveetha	saveetha	PROPN
cana-1998	5	11	institute	institute	PROPN
cana-1998	5	12	of	of	ADP
cana-1998	5	13	medical	medical	ADJ
cana-1998	5	14	and	and	CCONJ
cana-1998	5	15	technical	technical	ADJ
cana-1998	5	16	sciences	science	NOUN
cana-1998	5	17	,	,	PUNCT
cana-1998	5	18	chennai-602105	chennai-602105	ADJ
cana-1998	5	19	,	,	PUNCT
cana-1998	5	20	india	india	PROPN
cana-1998	5	21	.	.	PUNCT
cana-1998	6	1	e-mails:1raed@jadara.edu.jo	e-mails:1raed@jadara.edu.jo	PROPN
cana-1998	6	2	,	,	PUNCT
cana-1998	6	3	3dralhosban@inu.edu.jo	3dralhosban@inu.edu.jo	NUM
cana-1998	6	4	,	,	PUNCT
cana-1998	6	5	4sundarakannann.maths@srmvalliammai.ac.in	4sundarakannann.maths@srmvalliammai.ac.in	NUM
cana-1998	6	6	,	,	PUNCT
cana-1998	6	7	5malchijahraj@gmail.com	5malchijahraj@gmail.com	NUM
cana-1998	6	8	∗corresponding	∗corresponde	VERB
cana-1998	6	9	author	author	NOUN
cana-1998	6	10	:	:	PUNCT
cana-1998	6	11	abdallah	abdallah	PROPN
cana-1998	6	12	al	al	PROPN
cana-1998	6	13	-	-	PUNCT
cana-1998	6	14	husban	husban	PROPN
cana-1998	6	15	.	.	PUNCT
cana-1998	7	1	received	receive	VERB
cana-1998	7	2	:	:	PUNCT
cana-1998	7	3	24	24	NUM
cana-1998	7	4	-	-	PUNCT
cana-1998	7	5	04	04	NUM
cana-1998	7	6	-	-	PUNCT
cana-1998	7	7	2024	2024	NUM
cana-1998	7	8	revised	revise	VERB
cana-1998	7	9	:	:	PUNCT
cana-1998	7	10	26	26	NUM
cana-1998	7	11	-	-	SYM
cana-1998	7	12	08	08	NUM
cana-1998	7	13	-	-	PUNCT
cana-1998	7	14	2024	2024	NUM
cana-1998	7	15	accepted	accept	VERB
cana-1998	7	16	:	:	PUNCT
cana-1998	7	17	05	05	NUM
cana-1998	7	18	-	-	SYM
cana-1998	7	19	09	09	NUM
cana-1998	7	20	-	-	PUNCT
cana-1998	7	21	2024	2024	NUM
cana-1998	7	22	.	.	PUNCT
cana-1998	8	1	abstract	abstract	ADV
cana-1998	8	2	we	we	PRON
cana-1998	8	3	develop	develop	VERB
cana-1998	8	4	and	and	CCONJ
cana-1998	8	5	analyze	analyze	VERB
cana-1998	8	6	the	the	DET
cana-1998	8	7	concept	concept	NOUN
cana-1998	8	8	of	of	ADP
cana-1998	8	9	complex	complex	ADJ
cana-1998	8	10	cubic	cubic	ADJ
cana-1998	8	11	intuitionistic	intuitionistic	ADJ
cana-1998	8	12	fuzzy	fuzzy	ADJ
cana-1998	8	13	subbisemiring	subbisemiring	NOUN
cana-1998	8	14	(	(	PUNCT
cana-1998	8	15	comcifsbs	comcifsbs	NOUN
cana-1998	8	16	)	)	PUNCT
cana-1998	8	17	.	.	PUNCT
cana-1998	9	1	we	we	PRON
cana-1998	9	2	investigate	investigate	VERB
cana-1998	9	3	comcifsbs	comcifsbs	VERB
cana-1998	9	4	its	its	PRON
cana-1998	9	5	characteristics	characteristic	NOUN
cana-1998	9	6	and	and	CCONJ
cana-1998	9	7	homomorphic	homomorphic	ADJ
cana-1998	9	8	properties	property	NOUN
cana-1998	9	9	.	.	PUNCT
cana-1998	10	1	we	we	PRON
cana-1998	10	2	suggest	suggest	VERB
cana-1998	10	3	the	the	DET
cana-1998	10	4	comcifsbs	comcifsbs	NOUN
cana-1998	10	5	level	level	NOUN
cana-1998	10	6	sets	set	NOUN
cana-1998	10	7	of	of	ADP
cana-1998	10	8	bisemiring	bisemiring	NOUN
cana-1998	10	9	.	.	PUNCT
cana-1998	11	1	a	a	DET
cana-1998	11	2	cubic	cubic	ADJ
cana-1998	11	3	complex	complex	ADJ
cana-1998	11	4	intuitionistic	intuitionistic	ADJ
cana-1998	11	5	fuzzy	fuzzy	ADJ
cana-1998	11	6	set	set	NOUN
cana-1998	11	7	subset	subset	VERB
cana-1998	11	8	ξ	ξ	PROPN
cana-1998	11	9	of	of	ADP
cana-1998	11	10	bisemiring	bisemiring	PROPN
cana-1998	11	11	b	b	PROPN
cana-1998	11	12	,	,	PUNCT
cana-1998	11	13	if	if	SCONJ
cana-1998	11	14	and	and	CCONJ
cana-1998	11	15	only	only	ADV
cana-1998	11	16	if	if	SCONJ
cana-1998	11	17	each	each	DET
cana-1998	11	18	non	non	ADJ
cana-1998	11	19	-	-	ADJ
cana-1998	11	20	empty	empty	ADJ
cana-1998	11	21	level	level	NOUN
cana-1998	11	22	set	set	NOUN
cana-1998	11	23	r(t	r(t	NOUN
cana-1998	11	24	,	,	PUNCT
cana-1998	11	25	s	s	NOUN
cana-1998	11	26	)	)	PUNCT
cana-1998	11	27	,	,	PUNCT
cana-1998	11	28	where	where	SCONJ
cana-1998	11	29	r	r	NOUN
cana-1998	11	30	=	=	SYM
cana-1998	11	31	(	(	PUNCT
cana-1998	11	32	µ̂z	µ̂z	NOUN
cana-1998	11	33	·	·	SYM
cana-1998	11	34	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	11	35	,	,	PUNCT
cana-1998	11	36	ν̂z	ν̂z	PROPN
cana-1998	11	37	·	·	PUNCT
cana-1998	11	38	ei2πγ̂z	ei2πγ̂z	ADJ
cana-1998	11	39	,	,	PUNCT
cana-1998	11	40	µz	µz	PROPN
cana-1998	11	41	·	·	PUNCT
cana-1998	11	42	ei2πβz	ei2πβz	PROPN
cana-1998	11	43	,	,	PUNCT
cana-1998	11	44	νz	νz	PROPN
cana-1998	11	45	·	·	SYM
cana-1998	11	46	ei2πγz	ei2πγz	PROPN
cana-1998	11	47	)	)	PUNCT
cana-1998	11	48	is	be	AUX
cana-1998	11	49	a	a	DET
cana-1998	11	50	comcifsbs	comcifsbs	NOUN
cana-1998	11	51	of	of	ADP
cana-1998	11	52	b.	b.	PROPN
cana-1998	11	53	let	let	VERB
cana-1998	11	54	υ	υ	PRON
cana-1998	11	55	be	be	AUX
cana-1998	11	56	a	a	DET
cana-1998	11	57	comcifsbs	comcifsbs	NOUN
cana-1998	11	58	bisemiring	bisemire	VERB
cana-1998	11	59	b.	b.	PROPN
cana-1998	12	1	if	if	SCONJ
cana-1998	12	2	υ	υ	PROPN
cana-1998	12	3	is	be	AUX
cana-1998	12	4	a	a	DET
cana-1998	12	5	comcifsbs	comcifsbs	NOUN
cana-1998	12	6	of	of	ADP
cana-1998	12	7	b	b	NOUN
cana-1998	12	8	×b	×b	NOUN
cana-1998	12	9	,	,	PUNCT
cana-1998	12	10	then	then	ADV
cana-1998	12	11	z	z	PROPN
cana-1998	12	12	is	be	AUX
cana-1998	12	13	a	a	DET
cana-1998	12	14	comcifsbs	comcifsbs	NOUN
cana-1998	12	15	of	of	ADP
cana-1998	12	16	bisemiring	bisemiring	PROPN
cana-1998	12	17	b.	b.	PROPN
cana-1998	12	18	let	let	VERB
cana-1998	12	19	z	z	NOUN
cana-1998	12	20	denote	denote	VERB
cana-1998	12	21	the	the	DET
cana-1998	12	22	strongest	strong	ADJ
cana-1998	12	23	complex	complex	ADJ
cana-1998	12	24	intuitionistic	intuitionistic	ADJ
cana-1998	12	25	fuzzy	fuzzy	ADJ
cana-1998	12	26	relation	relation	NOUN
cana-1998	12	27	bisemiring	bisemiring	PROPN
cana-1998	12	28	b.	b.	PROPN
cana-1998	13	1	it	it	PRON
cana-1998	13	2	is	be	AUX
cana-1998	13	3	proved	prove	VERB
cana-1998	13	4	that	that	SCONJ
cana-1998	13	5	all	all	DET
cana-1998	13	6	comcifsbss	comcifsbss	NOUN
cana-1998	13	7	have	have	VERB
cana-1998	13	8	homomorphic	homomorphic	ADJ
cana-1998	13	9	images	image	NOUN
cana-1998	13	10	as	as	ADV
cana-1998	13	11	well	well	ADV
cana-1998	13	12	as	as	ADP
cana-1998	13	13	homomorphic	homomorphic	ADJ
cana-1998	13	14	pre	pre	NOUN
cana-1998	13	15	-	-	NOUN
cana-1998	13	16	images	image	NOUN
cana-1998	13	17	.	.	PUNCT
cana-1998	14	1	examples	example	NOUN
cana-1998	14	2	are	be	AUX
cana-1998	14	3	presented	present	VERB
cana-1998	14	4	to	to	PART
cana-1998	14	5	demonstrate	demonstrate	VERB
cana-1998	14	6	how	how	SCONJ
cana-1998	14	7	our	our	PRON
cana-1998	14	8	findings	finding	NOUN
cana-1998	14	9	are	be	AUX
cana-1998	14	10	applied	apply	VERB
cana-1998	14	11	.	.	PUNCT
cana-1998	15	1	keywords	keyword	NOUN
cana-1998	15	2	:	:	PUNCT
cana-1998	15	3	ccnsbs	ccnsbs	NOUN
cana-1998	15	4	,	,	PUNCT
cana-1998	15	5	ccnnsbs	ccnnsbs	ADJ
cana-1998	15	6	,	,	PUNCT
cana-1998	15	7	sbs	sbs	NOUN
cana-1998	15	8	,	,	PUNCT
cana-1998	15	9	homomorphism	homomorphism	NOUN
cana-1998	15	10	.	.	PUNCT
cana-1998	16	1	1	1	NUM
cana-1998	16	2	introduction	introduction	NOUN
cana-1998	16	3	fuzzy	fuzzy	ADJ
cana-1998	16	4	set	set	NOUN
cana-1998	16	5	(	(	PUNCT
cana-1998	16	6	fs	fs	ADJ
cana-1998	16	7	)	)	PUNCT
cana-1998	16	8	theory	theory	NOUN
cana-1998	16	9	was	be	AUX
cana-1998	16	10	developed	develop	VERB
cana-1998	16	11	by	by	ADP
cana-1998	16	12	zadeh1	zadeh1	PROPN
cana-1998	16	13	and	and	CCONJ
cana-1998	16	14	is	be	AUX
cana-1998	16	15	most	most	ADV
cana-1998	16	16	effective	effective	ADJ
cana-1998	16	17	in	in	ADP
cana-1998	16	18	managing	manage	VERB
cana-1998	16	19	ambiguity	ambiguity	NOUN
cana-1998	16	20	and	and	CCONJ
cana-1998	16	21	uncertainty	uncertainty	NOUN
cana-1998	16	22	.	.	PUNCT
cana-1998	17	1	if	if	SCONJ
cana-1998	17	2	an	an	DET
cana-1998	17	3	element	element	NOUN
cana-1998	17	4	in	in	ADP
cana-1998	17	5	an	an	DET
cana-1998	17	6	fs	fs	NOUN
cana-1998	17	7	has	have	VERB
cana-1998	17	8	a	a	DET
cana-1998	17	9	single	single	ADJ
cana-1998	17	10	value	value	NOUN
cana-1998	17	11	inside	inside	ADP
cana-1998	17	12	the	the	DET
cana-1998	17	13	interval	interval	NOUN
cana-1998	17	14	,	,	PUNCT
cana-1998	17	15	it	it	PRON
cana-1998	17	16	is	be	AUX
cana-1998	17	17	regarded	regard	VERB
cana-1998	17	18	as	as	ADP
cana-1998	17	19	a	a	DET
cana-1998	17	20	member	member	NOUN
cana-1998	17	21	.	.	PUNCT
cana-1998	18	1	the	the	DET
cana-1998	18	2	degree	degree	NOUN
cana-1998	18	3	of	of	ADP
cana-1998	18	4	non	non	ADJ
cana-1998	18	5	-	-	ADJ
cana-1998	18	6	membership	membership	NOUN
cana-1998	18	7	may	may	AUX
cana-1998	18	8	not	not	PART
cana-1998	18	9	always	always	ADV
cana-1998	18	10	equal	equal	VERB
cana-1998	18	11	one	one	NUM
cana-1998	18	12	minus	minus	ADP
cana-1998	18	13	the	the	DET
cana-1998	18	14	degree	degree	NOUN
cana-1998	18	15	of	of	ADP
cana-1998	18	16	membership	membership	NOUN
cana-1998	18	17	,	,	PUNCT
cana-1998	18	18	though	though	ADV
cana-1998	18	19	,	,	PUNCT
cana-1998	18	20	as	as	SCONJ
cana-1998	18	21	resistance	resistance	NOUN
cana-1998	18	22	can	can	AUX
cana-1998	18	23	occur	occur	VERB
cana-1998	18	24	in	in	ADP
cana-1998	18	25	real	real	ADJ
cana-1998	18	26	-	-	PUNCT
cana-1998	18	27	life	life	NOUN
cana-1998	18	28	situations	situation	NOUN
cana-1998	18	29	.	.	PUNCT
cana-1998	19	1	an	an	DET
cana-1998	19	2	increasing	increase	VERB
cana-1998	19	3	number	number	NOUN
cana-1998	19	4	of	of	ADP
cana-1998	19	5	hybrid	hybrid	ADJ
cana-1998	19	6	fuzzy	fuzzy	ADJ
cana-1998	19	7	models	model	NOUN
cana-1998	19	8	are	be	AUX
cana-1998	19	9	being	be	AUX
cana-1998	19	10	developed	develop	VERB
cana-1998	19	11	as	as	SCONJ
cana-1998	19	12	fs	fs	ADP
cana-1998	19	13	theory	theory	NOUN
cana-1998	19	14	develops	develop	VERB
cana-1998	19	15	significantly	significantly	ADV
cana-1998	19	16	.	.	PUNCT
cana-1998	20	1	the	the	DET
cana-1998	20	2	uncertainties	uncertainty	NOUN
cana-1998	20	3	have	have	AUX
cana-1998	20	4	led	lead	VERB
cana-1998	20	5	to	to	ADP
cana-1998	20	6	the	the	DET
cana-1998	20	7	development	development	NOUN
cana-1998	20	8	of	of	ADP
cana-1998	20	9	a	a	DET
cana-1998	20	10	number	number	NOUN
cana-1998	20	11	of	of	ADP
cana-1998	20	12	uncertain	uncertain	ADJ
cana-1998	20	13	theories	theory	NOUN
cana-1998	20	14	,	,	PUNCT
cana-1998	20	15	such	such	ADJ
cana-1998	20	16	as	as	ADP
cana-1998	20	17	fs,1	fs,1	PROPN
cana-1998	20	18	intuitionistic	intuitionistic	ADJ
cana-1998	20	19	fs	fs	X
cana-1998	20	20	(	(	PUNCT
cana-1998	20	21	ifs),2	ifs),2	PROPN
cana-1998	20	22	pythagorean	pythagorean	PROPN
cana-1998	20	23	fs	fs	PROPN
cana-1998	20	24	(	(	PUNCT
cana-1998	20	25	pfs),3	pfs),3	PROPN
cana-1998	20	26	and	and	CCONJ
cana-1998	20	27	spherical	spherical	ADJ
cana-1998	20	28	fs	fs	X
cana-1998	20	29	(	(	PUNCT
cana-1998	20	30	sfs).4	sfs).4	PUNCT
cana-1998	20	31	mg	mg	PROPN
cana-1998	20	32	sets	set	NOUN
cana-1998	20	33	,	,	PUNCT
cana-1998	20	34	or	or	CCONJ
cana-1998	20	35	sets	set	NOUN
cana-1998	20	36	with	with	ADP
cana-1998	20	37	grades	grade	NOUN
cana-1998	20	38	between	between	ADP
cana-1998	20	39	0	0	NUM
cana-1998	20	40	and	and	CCONJ
cana-1998	20	41	1	1	NUM
cana-1998	20	42	,	,	PUNCT
cana-1998	20	43	make	make	VERB
cana-1998	20	44	up	up	ADP
cana-1998	20	45	an	an	DET
cana-1998	20	46	fs	fs	NOUN
cana-1998	20	47	.	.	PUNCT
cana-1998	21	1	despite	despite	SCONJ
cana-1998	21	2	an	an	DET
cana-1998	21	3	assertion	assertion	NOUN
cana-1998	21	4	made	make	VERB
cana-1998	21	5	by	by	ADP
cana-1998	21	6	atanassov2	atanassov2	PROPN
cana-1998	21	7	that	that	SCONJ
cana-1998	21	8	non	non	ADJ
cana-1998	21	9	-	-	ADJ
cana-1998	21	10	membership	membership	ADJ
cana-1998	21	11	grades	grade	NOUN
cana-1998	21	12	(	(	PUNCT
cana-1998	21	13	nmg	nmg	NOUN
cana-1998	21	14	)	)	PUNCT
cana-1998	21	15	can	can	AUX
cana-1998	21	16	only	only	ADV
cana-1998	21	17	have	have	AUX
cana-1998	21	18	a	a	DET
cana-1998	21	19	value	value	NOUN
cana-1998	21	20	of	of	ADP
cana-1998	21	21	1	1	NUM
cana-1998	21	22	,	,	PUNCT
cana-1998	21	23	ifs	ifs	PROPN
cana-1998	21	24	is	be	AUX
cana-1998	21	25	categorized	categorize	VERB
cana-1998	21	26	as	as	ADP
cana-1998	21	27	mg	mg	PROPN
cana-1998	21	28	.	.	PUNCT
cana-1998	22	1	the	the	DET
cana-1998	22	2	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	22	3	418	418	NUM
cana-1998	22	4	communications	communication	NOUN
cana-1998	22	5	on	on	ADP
cana-1998	22	6	applied	apply	VERB
cana-1998	22	7	nonlinear	nonlinear	ADJ
cana-1998	22	8	analysis	analysis	NOUN
cana-1998	22	9	issn	issn	NOUN
cana-1998	22	10	:	:	PUNCT
cana-1998	22	11	1074	1074	NUM
cana-1998	22	12	-	-	PUNCT
cana-1998	22	13	133x	133x	NUM
cana-1998	22	14	vol	vol	NOUN
cana-1998	22	15	32	32	NUM
cana-1998	22	16	no	no	NOUN
cana-1998	22	17	.	.	NOUN
cana-1998	22	18	3	3	NUM
cana-1998	22	19	(	(	PUNCT
cana-1998	22	20	2025	2025	NUM
cana-1998	22	21	)	)	PUNCT
cana-1998	22	22	total	total	NOUN
cana-1998	22	23	of	of	ADP
cana-1998	22	24	mgs	mgs	NOUN
cana-1998	22	25	and	and	CCONJ
cana-1998	22	26	nmgs	nmgs	NOUN
cana-1998	22	27	may	may	AUX
cana-1998	22	28	occasionally	occasionally	ADV
cana-1998	22	29	exceed	exceed	VERB
cana-1998	22	30	1	1	NUM
cana-1998	22	31	throughout	throughout	ADP
cana-1998	22	32	a	a	DET
cana-1998	22	33	decision	decision	NOUN
cana-1998	22	34	-	-	PUNCT
cana-1998	22	35	making	make	VERB
cana-1998	22	36	process	process	NOUN
cana-1998	22	37	.	.	PUNCT
cana-1998	23	1	yager3	yager3	PROPN
cana-1998	23	2	used	use	VERB
cana-1998	23	3	pfs	pfs	PROPN
cana-1998	23	4	logic	logic	NOUN
cana-1998	23	5	to	to	PART
cana-1998	23	6	develop	develop	VERB
cana-1998	23	7	the	the	DET
cana-1998	23	8	generalized	generalized	ADJ
cana-1998	23	9	mg	mg	PROPN
cana-1998	23	10	and	and	CCONJ
cana-1998	23	11	nmg	nmg	PROPN
cana-1998	23	12	logic	logic	NOUN
cana-1998	23	13	,	,	PUNCT
cana-1998	23	14	which	which	PRON
cana-1998	23	15	has	have	VERB
cana-1998	23	16	a	a	DET
cana-1998	23	17	value	value	NOUN
cana-1998	23	18	not	not	PART
cana-1998	23	19	exceeding	exceed	VERB
cana-1998	23	20	1	1	NUM
cana-1998	23	21	and	and	CCONJ
cana-1998	23	22	is	be	AUX
cana-1998	23	23	determined	determine	VERB
cana-1998	23	24	by	by	ADP
cana-1998	23	25	the	the	DET
cana-1998	23	26	square	square	NOUN
cana-1998	23	27	of	of	ADP
cana-1998	23	28	the	the	DET
cana-1998	23	29	mgs	mgs	NOUN
cana-1998	23	30	and	and	CCONJ
cana-1998	23	31	nmgs	nmgs	NOUN
cana-1998	23	32	.	.	PUNCT
cana-1998	24	1	as	as	SCONJ
cana-1998	24	2	the	the	DET
cana-1998	24	3	neutral	neutral	ADJ
cana-1998	24	4	state	state	NOUN
cana-1998	24	5	is	be	AUX
cana-1998	24	6	neither	neither	CCONJ
cana-1998	24	7	positive	positive	ADJ
cana-1998	24	8	nor	nor	CCONJ
cana-1998	24	9	negative	negative	ADJ
cana-1998	24	10	,	,	PUNCT
cana-1998	24	11	these	these	DET
cana-1998	24	12	theories	theory	NOUN
cana-1998	24	13	are	be	AUX
cana-1998	24	14	unable	unable	ADJ
cana-1998	24	15	to	to	PART
cana-1998	24	16	describe	describe	VERB
cana-1998	24	17	it	it	PRON
cana-1998	24	18	.	.	PUNCT
cana-1998	25	1	cuong5	cuong5	PROPN
cana-1998	25	2	et	et	PROPN
cana-1998	25	3	al	al	PROPN
cana-1998	25	4	.	.	PROPN
cana-1998	25	5	communicated	communicate	VERB
cana-1998	25	6	to	to	ADP
cana-1998	25	7	the	the	DET
cana-1998	25	8	picture	picture	NOUN
cana-1998	25	9	fs	fs	PART
cana-1998	25	10	used	use	VERB
cana-1998	25	11	three	three	NUM
cana-1998	25	12	grading	grading	NOUN
cana-1998	25	13	points	point	NOUN
cana-1998	25	14	:	:	PUNCT
cana-1998	25	15	positive	positive	ADJ
cana-1998	25	16	,	,	PUNCT
cana-1998	25	17	neutral	neutral	ADJ
cana-1998	25	18	,	,	PUNCT
cana-1998	25	19	and	and	CCONJ
cana-1998	25	20	negative	negative	ADJ
cana-1998	25	21	.	.	PUNCT
cana-1998	26	1	the	the	DET
cana-1998	26	2	sum	sum	NOUN
cana-1998	26	3	of	of	ADP
cana-1998	26	4	these	these	DET
cana-1998	26	5	grades	grade	NOUN
cana-1998	26	6	could	could	AUX
cana-1998	26	7	not	not	PART
cana-1998	26	8	be	be	AUX
cana-1998	26	9	greater	great	ADJ
cana-1998	26	10	than	than	ADP
cana-1998	26	11	1	1	NUM
cana-1998	26	12	.	.	PUNCT
cana-1998	27	1	it	it	PRON
cana-1998	27	2	also	also	ADV
cana-1998	27	3	outperforms	outperform	VERB
cana-1998	27	4	pfs	pfs	PROPN
cana-1998	27	5	and	and	CCONJ
cana-1998	27	6	ifs	ifs	PROPN
cana-1998	27	7	in	in	ADP
cana-1998	27	8	several	several	ADJ
cana-1998	27	9	situations	situation	NOUN
cana-1998	27	10	.	.	PUNCT
cana-1998	28	1	it	it	PRON
cana-1998	28	2	addresses	address	VERB
cana-1998	28	3	the	the	DET
cana-1998	28	4	truth	truth	NOUN
cana-1998	28	5	,	,	PUNCT
cana-1998	28	6	indeterminacy	indeterminacy	NOUN
cana-1998	28	7	,	,	PUNCT
cana-1998	28	8	and	and	CCONJ
cana-1998	28	9	falsity	falsity	NOUN
cana-1998	28	10	of	of	ADP
cana-1998	28	11	fs	f	NOUN
cana-1998	28	12	and	and	CCONJ
cana-1998	28	13	ifs	ifs	PROPN
cana-1998	28	14	and	and	CCONJ
cana-1998	28	15	is	be	AUX
cana-1998	28	16	an	an	DET
cana-1998	28	17	autonomous	autonomous	ADJ
cana-1998	28	18	generalization	generalization	NOUN
cana-1998	28	19	of	of	ADP
cana-1998	28	20	three	three	NUM
cana-1998	28	21	models	model	NOUN
cana-1998	28	22	.	.	PUNCT
cana-1998	29	1	to	to	PART
cana-1998	29	2	handle	handle	VERB
cana-1998	29	3	conflicting	conflicting	ADJ
cana-1998	29	4	and	and	CCONJ
cana-1998	29	5	unclear	unclear	ADJ
cana-1998	29	6	data	datum	NOUN
cana-1998	29	7	,	,	PUNCT
cana-1998	29	8	smarandache6	smarandache6	NOUN
cana-1998	29	9	developed	develop	VERB
cana-1998	29	10	the	the	DET
cana-1998	29	11	neutrosophic	neutrosophic	ADJ
cana-1998	29	12	set	set	NOUN
cana-1998	29	13	(	(	PUNCT
cana-1998	29	14	ns	ns	NUM
cana-1998	29	15	)	)	PUNCT
cana-1998	29	16	.	.	PUNCT
cana-1998	30	1	the	the	DET
cana-1998	30	2	degree	degree	NOUN
cana-1998	30	3	to	to	PART
cana-1998	30	4	which	which	PRON
cana-1998	30	5	a	a	DET
cana-1998	30	6	proposition	proposition	NOUN
cana-1998	30	7	is	be	AUX
cana-1998	30	8	true	true	ADJ
cana-1998	30	9	,	,	PUNCT
cana-1998	30	10	ambiguous	ambiguous	ADJ
cana-1998	30	11	,	,	PUNCT
cana-1998	30	12	or	or	CCONJ
cana-1998	30	13	false	false	ADJ
cana-1998	30	14	is	be	AUX
cana-1998	30	15	established	establish	VERB
cana-1998	30	16	using	use	VERB
cana-1998	30	17	this	this	DET
cana-1998	30	18	logic	logic	NOUN
cana-1998	30	19	.	.	PUNCT
cana-1998	31	1	ramot	ramot	NOUN
cana-1998	31	2	et	et	PROPN
cana-1998	31	3	al	al	PROPN
cana-1998	31	4	.	.	PROPN
cana-1998	31	5	introduce	introduce	VERB
cana-1998	31	6	the	the	DET
cana-1998	31	7	idea	idea	NOUN
cana-1998	31	8	of	of	ADP
cana-1998	31	9	the	the	DET
cana-1998	31	10	complex	complex	ADJ
cana-1998	31	11	fuzzy	fuzzy	ADJ
cana-1998	31	12	set	set	NOUN
cana-1998	31	13	(	(	PUNCT
cana-1998	31	14	cfs)	cfs)	PROPN
cana-1998	31	15	..	..	PROPN
cana-1998	31	16	7	7	NUM
cana-1998	31	17	the	the	DET
cana-1998	31	18	membership	membership	NOUN
cana-1998	31	19	functions	function	NOUN
cana-1998	31	20	of	of	ADP
cana-1998	31	21	cfs	cfs	PROPN
cana-1998	31	22	’s	’s	PART
cana-1998	31	23	deals	deal	NOUN
cana-1998	31	24	can	can	AUX
cana-1998	31	25	have	have	VERB
cana-1998	31	26	a	a	DET
cana-1998	31	27	very	very	ADV
cana-1998	31	28	broad	broad	ADJ
cana-1998	31	29	range	range	NOUN
cana-1998	31	30	of	of	ADP
cana-1998	31	31	values	value	NOUN
cana-1998	31	32	.	.	PUNCT
cana-1998	32	1	while	while	SCONJ
cana-1998	32	2	the	the	DET
cana-1998	32	3	unit	unit	NOUN
cana-1998	32	4	circle	circle	NOUN
cana-1998	32	5	of	of	ADP
cana-1998	32	6	a	a	DET
cana-1998	32	7	fuzzy	fuzzy	ADJ
cana-1998	32	8	membership	membership	NOUN
cana-1998	32	9	function	function	NOUN
cana-1998	32	10	remains	remain	VERB
cana-1998	32	11	fixed	fix	VERB
cana-1998	32	12	,	,	PUNCT
cana-1998	32	13	the	the	DET
cana-1998	32	14	unit	unit	NOUN
cana-1998	32	15	circle	circle	NOUN
cana-1998	32	16	of	of	ADP
cana-1998	32	17	the	the	DET
cana-1998	32	18	complex	complex	ADJ
cana-1998	32	19	plane	plane	NOUN
cana-1998	32	20	is	be	AUX
cana-1998	32	21	expanded	expand	VERB
cana-1998	32	22	to	to	ADP
cana-1998	32	23	[	[	X
cana-1998	32	24	0	0	NUM
cana-1998	32	25	,	,	PUNCT
cana-1998	32	26	1	1	NUM
cana-1998	32	27	]	]	PUNCT
cana-1998	32	28	.	.	PUNCT
cana-1998	33	1	rather	rather	ADV
cana-1998	33	2	than	than	ADP
cana-1998	33	3	extending	extend	VERB
cana-1998	33	4	exclusively	exclusively	ADV
cana-1998	33	5	to	to	ADP
cana-1998	33	6	[	[	X
cana-1998	33	7	0	0	NUM
cana-1998	33	8	,	,	PUNCT
cana-1998	33	9	1	1	NUM
cana-1998	33	10	]	]	PUNCT
cana-1998	33	11	,	,	PUNCT
cana-1998	33	12	the	the	DET
cana-1998	33	13	membership	membership	NOUN
cana-1998	33	14	function	function	NOUN
cana-1998	33	15	xx(x	xx(x	NOUN
cana-1998	33	16	)	)	PUNCT
cana-1998	33	17	of	of	ADP
cana-1998	33	18	the	the	DET
cana-1998	33	19	cfs	cfs	PROPN
cana-1998	33	20	x	x	PUNCT
cana-1998	33	21	extends	extend	VERB
cana-1998	33	22	to	to	ADP
cana-1998	33	23	the	the	DET
cana-1998	33	24	unit	unit	NOUN
cana-1998	33	25	circle	circle	NOUN
cana-1998	33	26	in	in	ADP
cana-1998	33	27	the	the	DET
cana-1998	33	28	complex	complex	ADJ
cana-1998	33	29	plane	plane	NOUN
cana-1998	33	30	.	.	PUNCT
cana-1998	34	1	hence	hence	ADV
cana-1998	34	2	,	,	PUNCT
cana-1998	34	3	xx(x	xx(x	PROPN
cana-1998	34	4	)	)	PUNCT
cana-1998	34	5	is	be	AUX
cana-1998	34	6	a	a	DET
cana-1998	34	7	complex	complex	ADV
cana-1998	34	8	-	-	PUNCT
cana-1998	34	9	valued	value	VERB
cana-1998	34	10	function	function	NOUN
cana-1998	34	11	that	that	SCONJ
cana-1998	34	12	,	,	PUNCT
cana-1998	34	13	for	for	ADP
cana-1998	34	14	any	any	DET
cana-1998	34	15	element	element	NOUN
cana-1998	34	16	x	x	PUNCT
cana-1998	34	17	in	in	ADP
cana-1998	34	18	the	the	DET
cana-1998	34	19	discourse	discourse	NOUN
cana-1998	34	20	universe	universe	NOUN
cana-1998	34	21	,	,	PUNCT
cana-1998	34	22	provides	provide	VERB
cana-1998	34	23	a	a	DET
cana-1998	34	24	grade	grade	NOUN
cana-1998	34	25	of	of	ADP
cana-1998	34	26	membership	membership	NOUN
cana-1998	34	27	of	of	ADP
cana-1998	34	28	the	the	DET
cana-1998	34	29	type	type	NOUN
cana-1998	34	30	ηx(x	ηx(x	NOUN
cana-1998	34	31	)	)	PUNCT
cana-1998	34	32	·	·	PUNCT
cana-1998	35	1	ei2πx(x	ei2πx(x	NOUN
cana-1998	35	2	)	)	PUNCT
cana-1998	35	3	,	,	PUNCT
cana-1998	35	4	where	where	SCONJ
cana-1998	35	5	i	i	PRON
cana-1998	35	6	=	=	VERB
cana-1998	35	7	√	√	NUM
cana-1998	35	8	−1	−1	NOUN
cana-1998	35	9	.	.	PUNCT
cana-1998	36	1	the	the	DET
cana-1998	36	2	two	two	NUM
cana-1998	36	3	real	real	ADV
cana-1998	36	4	-	-	PUNCT
cana-1998	36	5	valued	value	VERB
cana-1998	36	6	variables	variable	NOUN
cana-1998	36	7	,	,	PUNCT
cana-1998	36	8	ηx(x	ηx(x	NOUN
cana-1998	36	9	)	)	PUNCT
cana-1998	36	10	and	and	CCONJ
cana-1998	36	11	2πx(x	2πx(x	NUM
cana-1998	36	12	)	)	PUNCT
cana-1998	36	13	,	,	PUNCT
cana-1998	36	14	where	where	SCONJ
cana-1998	36	15	ηx(x	ηx(x	NOUN
cana-1998	36	16	)	)	PUNCT
cana-1998	36	17	,	,	PUNCT
cana-1998	36	18	2πx(x	2πx(x	NUM
cana-1998	36	19	)	)	PUNCT
cana-1998	36	20	∈	∈	PROPN
cana-1998	37	1	[	[	X
cana-1998	37	2	0	0	NUM
cana-1998	37	3	,	,	PUNCT
cana-1998	37	4	1	1	NUM
cana-1998	37	5	]	]	PUNCT
cana-1998	37	6	,	,	PUNCT
cana-1998	37	7	define	define	VERB
cana-1998	37	8	the	the	DET
cana-1998	37	9	value	value	NOUN
cana-1998	37	10	of	of	ADP
cana-1998	37	11	xx(x	xx(x	NOUN
cana-1998	37	12	)	)	PUNCT
cana-1998	37	13	.	.	PUNCT
cana-1998	38	1	golan8	golan8	PROPN
cana-1998	38	2	established	establish	VERB
cana-1998	38	3	the	the	DET
cana-1998	38	4	concept	concept	NOUN
cana-1998	38	5	of	of	ADP
cana-1998	38	6	semiring	semire	VERB
cana-1998	38	7	logic	logic	NOUN
cana-1998	38	8	and	and	CCONJ
cana-1998	38	9	its	its	PRON
cana-1998	38	10	applications	application	NOUN
cana-1998	38	11	.	.	PUNCT
cana-1998	39	1	hussian	hussian	PROPN
cana-1998	39	2	et	et	PROPN
cana-1998	39	3	al.9	al.9	PROPN
cana-1998	39	4	talked	talk	VERB
cana-1998	39	5	about	about	ADP
cana-1998	39	6	the	the	DET
cana-1998	39	7	concept	concept	NOUN
cana-1998	39	8	and	and	CCONJ
cana-1998	39	9	use	use	NOUN
cana-1998	39	10	of	of	ADP
cana-1998	39	11	bisemirings	bisemiring	NOUN
cana-1998	39	12	.	.	PUNCT
cana-1998	40	1	lee10	lee10	ADJ
cana-1998	40	2	addresses	address	NOUN
cana-1998	40	3	bipolar	bipolar	ADV
cana-1998	40	4	-	-	PUNCT
cana-1998	40	5	valued	value	VERB
cana-1998	40	6	fss	fss	NOUN
cana-1998	40	7	and	and	CCONJ
cana-1998	40	8	associated	associated	ADJ
cana-1998	40	9	techniques	technique	NOUN
cana-1998	40	10	.	.	PUNCT
cana-1998	41	1	fuzzy	fuzzy	ADJ
cana-1998	41	2	semirings	semiring	NOUN
cana-1998	41	3	were	be	AUX
cana-1998	41	4	studied	study	VERB
cana-1998	41	5	by	by	ADP
cana-1998	41	6	ahsan	ahsan	PROPN
cana-1998	41	7	et	et	PROPN
cana-1998	41	8	al.11	al.11	PROPN
cana-1998	41	9	sen	sen	PROPN
cana-1998	41	10	et	et	PROPN
cana-1998	41	11	al.12	al.12	PROPN
cana-1998	41	12	introduced	introduce	VERB
cana-1998	41	13	the	the	DET
cana-1998	41	14	concept	concept	NOUN
cana-1998	41	15	of	of	ADP
cana-1998	41	16	bisemirings	bisemiring	NOUN
cana-1998	41	17	.	.	PUNCT
cana-1998	42	1	a	a	DET
cana-1998	42	2	fuzzy	fuzzy	ADJ
cana-1998	42	3	normal	normal	ADJ
cana-1998	42	4	subbisemiring	subbisemiring	NOUN
cana-1998	42	5	of	of	ADP
cana-1998	42	6	bisemiring	bisemiring	NOUN
cana-1998	42	7	that	that	PRON
cana-1998	42	8	is	be	AUX
cana-1998	42	9	intuitionistic	intuitionistic	ADJ
cana-1998	42	10	was	be	AUX
cana-1998	42	11	presented	present	VERB
cana-1998	42	12	by	by	ADP
cana-1998	42	13	palanikumar	palanikumar	PROPN
cana-1998	42	14	et	et	PROPN
cana-1998	42	15	al.13	al.13	PROPN
cana-1998	42	16	bisemiring	bisemiring	NOUN
cana-1998	42	17	was	be	AUX
cana-1998	42	18	first	first	ADV
cana-1998	42	19	proposed	propose	VERB
cana-1998	42	20	by	by	ADP
cana-1998	42	21	palanikumar	palanikumar	PROPN
cana-1998	42	22	et	et	PROPN
cana-1998	42	23	al.14	al.14	PROPN
cana-1998	42	24	utilizing	utilize	VERB
cana-1998	42	25	bipolar	bipolar	ADV
cana-1998	42	26	-	-	PUNCT
cana-1998	42	27	valued	value	VERB
cana-1998	42	28	neutrosophic	neutrosophic	ADJ
cana-1998	42	29	normal	normal	ADJ
cana-1998	42	30	sets	set	NOUN
cana-1998	42	31	.	.	PUNCT
cana-1998	43	1	novel	novel	ADJ
cana-1998	43	2	concepts	concept	NOUN
cana-1998	43	3	including	include	VERB
cana-1998	43	4	the	the	DET
cana-1998	43	5	fuzzy	fuzzy	ADJ
cana-1998	43	6	extension	extension	NOUN
cana-1998	43	7	set	set	NOUN
cana-1998	43	8	,	,	PUNCT
cana-1998	43	9	neutrosopic	neutrosopic	ADJ
cana-1998	43	10	set	set	NOUN
cana-1998	43	11	,	,	PUNCT
cana-1998	43	12	and	and	CCONJ
cana-1998	43	13	specific	specific	ADJ
cana-1998	43	14	fuzzy	fuzzy	ADJ
cana-1998	43	15	set	set	NOUN
cana-1998	43	16	have	have	AUX
cana-1998	43	17	been	be	AUX
cana-1998	43	18	the	the	DET
cana-1998	43	19	subject	subject	NOUN
cana-1998	43	20	of	of	ADP
cana-1998	43	21	numerous	numerous	ADJ
cana-1998	43	22	recent	recent	ADJ
cana-1998	43	23	writings15.21	writings15.21	NOUN
cana-1998	43	24	recently	recently	ADV
cana-1998	43	25	al	al	PROPN
cana-1998	43	26	-	-	PUNCT
cana-1998	43	27	husban	husban	PROPN
cana-1998	43	28	et	et	PROPN
cana-1998	43	29	al	al	PROPN
cana-1998	43	30	.	.	PROPN
cana-1998	44	1	discussed	discuss	VERB
cana-1998	44	2	the	the	DET
cana-1998	44	3	new	new	ADJ
cana-1998	44	4	structures	structure	NOUN
cana-1998	44	5	such	such	ADJ
cana-1998	44	6	neutrosophic	neutrosophic	ADJ
cana-1998	44	7	and	and	CCONJ
cana-1998	44	8	its	its	PRON
cana-1998	44	9	applications22.32	applications22.32	NOUN
cana-1998	44	10	we	we	PRON
cana-1998	44	11	will	will	AUX
cana-1998	44	12	look	look	VERB
cana-1998	44	13	at	at	ADP
cana-1998	44	14	a	a	DET
cana-1998	44	15	few	few	ADJ
cana-1998	44	16	aspects	aspect	NOUN
cana-1998	44	17	of	of	ADP
cana-1998	44	18	sbs	sbs	NOUN
cana-1998	44	19	and	and	CCONJ
cana-1998	44	20	comcifsbs	comcifsbs	ADJ
cana-1998	44	21	concepts	concept	NOUN
cana-1998	44	22	and	and	CCONJ
cana-1998	44	23	make	make	VERB
cana-1998	44	24	some	some	DET
cana-1998	44	25	inferences	inference	NOUN
cana-1998	44	26	.	.	PUNCT
cana-1998	45	1	the	the	DET
cana-1998	45	2	article	article	NOUN
cana-1998	45	3	is	be	AUX
cana-1998	45	4	divided	divide	VERB
cana-1998	45	5	into	into	ADP
cana-1998	45	6	the	the	DET
cana-1998	45	7	following	follow	VERB
cana-1998	45	8	five	five	NUM
cana-1998	45	9	sections	section	NOUN
cana-1998	45	10	.	.	PUNCT
cana-1998	46	1	in	in	ADP
cana-1998	46	2	section	section	NOUN
cana-1998	46	3	1	1	NUM
cana-1998	46	4	,	,	PUNCT
cana-1998	46	5	semirings	semiring	NOUN
cana-1998	46	6	and	and	CCONJ
cana-1998	46	7	sbs	sbs	NOUN
cana-1998	46	8	are	be	AUX
cana-1998	46	9	introduced	introduce	VERB
cana-1998	46	10	.	.	PUNCT
cana-1998	47	1	section	section	NOUN
cana-1998	47	2	2	2	NUM
cana-1998	47	3	contains	contain	VERB
cana-1998	47	4	information	information	NOUN
cana-1998	47	5	on	on	ADP
cana-1998	47	6	semiring	semiring	NOUN
cana-1998	47	7	and	and	CCONJ
cana-1998	47	8	sbs	sbs	ADJ
cana-1998	47	9	preparation	preparation	NOUN
cana-1998	47	10	.	.	PUNCT
cana-1998	48	1	comcifsbs	comcifsbs	NOUN
cana-1998	48	2	properties	property	NOUN
cana-1998	48	3	are	be	AUX
cana-1998	48	4	enumerated	enumerate	VERB
cana-1998	48	5	in	in	ADP
cana-1998	48	6	section	section	NOUN
cana-1998	48	7	3	3	NUM
cana-1998	48	8	.	.	PUNCT
cana-1998	49	1	it	it	PRON
cana-1998	49	2	is	be	AUX
cana-1998	49	3	recommended	recommend	VERB
cana-1998	49	4	to	to	PART
cana-1998	49	5	use	use	VERB
cana-1998	49	6	numerical	numerical	ADJ
cana-1998	49	7	examples	example	NOUN
cana-1998	49	8	to	to	PART
cana-1998	49	9	assess	assess	VERB
cana-1998	49	10	comcifsbs	comcifsbs	NOUN
cana-1998	49	11	.	.	PUNCT
cana-1998	50	1	2	2	NUM
cana-1998	50	2	preliminaries	preliminary	NOUN
cana-1998	50	3	definition	definition	NOUN
cana-1998	50	4	2.1	2.1	NUM
cana-1998	50	5	.	.	PUNCT
cana-1998	51	1	an	an	DET
cana-1998	51	2	algebraic	algebraic	ADJ
cana-1998	51	3	structure	structure	NOUN
cana-1998	51	4	(	(	PUNCT
cana-1998	51	5	b	b	NOUN
cana-1998	51	6	,	,	PUNCT
cana-1998	51	7	]	]	X
cana-1998	51	8	,	,	PUNCT
cana-1998	51	9	,	,	PUNCT
cana-1998	51	10	�	�	PROPN
cana-1998	51	11	)	)	PUNCT
cana-1998	51	12	is	be	AUX
cana-1998	51	13	a	a	DET
cana-1998	51	14	bisemiring	bisemiring	NOUN
cana-1998	51	15	,	,	PUNCT
cana-1998	51	16	if	if	SCONJ
cana-1998	51	17	(	(	PUNCT
cana-1998	51	18	b	b	NOUN
cana-1998	51	19	,	,	PUNCT
cana-1998	51	20	]	]	X
cana-1998	51	21	,	,	PUNCT
cana-1998	51	22	)	)	PUNCT
cana-1998	51	23	and	and	CCONJ
cana-1998	51	24	(	(	PUNCT
cana-1998	51	25	b	b	NOUN
cana-1998	51	26	,	,	PUNCT
cana-1998	51	27	,	,	PUNCT
cana-1998	51	28	�	�	PROPN
cana-1998	51	29	)	)	PUNCT
cana-1998	51	30	are	be	AUX
cana-1998	51	31	semirings	semiring	NOUN
cana-1998	51	32	,	,	PUNCT
cana-1998	51	33	ie	ie	X
cana-1998	51	34	.	.	PROPN
cana-1998	51	35	,(b	,(b	PUNCT
cana-1998	51	36	,	,	PUNCT
cana-1998	51	37	]	]	X
cana-1998	51	38	)	)	PUNCT
cana-1998	51	39	,	,	PUNCT
cana-1998	51	40	(	(	PUNCT
cana-1998	51	41	b	b	NOUN
cana-1998	51	42	,	,	PUNCT
cana-1998	51	43	)	)	PUNCT
cana-1998	51	44	and	and	CCONJ
cana-1998	51	45	(	(	PUNCT
cana-1998	51	46	b	b	NOUN
cana-1998	51	47	,	,	PUNCT
cana-1998	51	48	�	�	PROPN
cana-1998	51	49	)	)	PUNCT
cana-1998	51	50	are	be	AUX
cana-1998	51	51	semigroups	semigroup	NOUN
cana-1998	51	52	and	and	CCONJ
cana-1998	51	53	1	1	X
cana-1998	51	54	.	.	X
cana-1998	52	1	κv	κv	PROPN
cana-1998	52	2	(	(	PUNCT
cana-1998	52	3	κζ	κζ	ADP
cana-1998	52	4	]	]	X
cana-1998	52	5	κη	κη	NOUN
cana-1998	52	6	)	)	PUNCT
cana-1998	52	7	=	=	SYM
cana-1998	52	8	(	(	PUNCT
cana-1998	52	9	κv	κv	NOUN
cana-1998	52	10	κζ	κζ	NOUN
cana-1998	52	11	)	)	PUNCT
cana-1998	52	12	]	]	PUNCT
cana-1998	52	13	(	(	PUNCT
cana-1998	52	14	κv	κv	PROPN
cana-1998	52	15	κη	κη	PROPN
cana-1998	52	16	)	)	PUNCT
cana-1998	52	17	,	,	PUNCT
cana-1998	52	18	2	2	X
cana-1998	52	19	.	.	PUNCT
cana-1998	52	20	(	(	PUNCT
cana-1998	52	21	κζ	κζ	ADP
cana-1998	52	22	]	]	X
cana-1998	52	23	κη	κη	NOUN
cana-1998	52	24	)	)	PUNCT
cana-1998	52	25	κv	κv	NOUN
cana-1998	52	26	=	=	PUNCT
cana-1998	52	27	(	(	PUNCT
cana-1998	52	28	κζ	κζ	ADP
cana-1998	52	29	κv	κv	ADJ
cana-1998	52	30	)	)	PUNCT
cana-1998	52	31	]	]	PUNCT
cana-1998	52	32	(	(	PUNCT
cana-1998	52	33	κη	κη	PROPN
cana-1998	52	34	κv	κv	PROPN
cana-1998	52	35	)	)	PUNCT
cana-1998	52	36	,	,	PUNCT
cana-1998	52	37	3	3	X
cana-1998	52	38	.	.	X
cana-1998	52	39	κv	κv	PROPN
cana-1998	52	40	�	�	PROPN
cana-1998	52	41	(	(	PUNCT
cana-1998	52	42	κζ	κζ	ADP
cana-1998	52	43	κη	κη	PROPN
cana-1998	52	44	)	)	PUNCT
cana-1998	52	45	=	=	SYM
cana-1998	53	1	(	(	PUNCT
cana-1998	53	2	κv	κv	PROPN
cana-1998	53	3	�	�	PROPN
cana-1998	53	4	κζ	κζ	NOUN
cana-1998	53	5	)	)	PUNCT
cana-1998	53	6	(	(	PUNCT
cana-1998	53	7	κv	κv	PROPN
cana-1998	53	8	�	�	PROPN
cana-1998	53	9	κη	κη	PROPN
cana-1998	53	10	)	)	PUNCT
cana-1998	53	11	,	,	PUNCT
cana-1998	53	12	4	4	X
cana-1998	53	13	.	.	PUNCT
cana-1998	54	1	(	(	PUNCT
cana-1998	54	2	κζ	κζ	ADP
cana-1998	54	3	κη	κη	PROPN
cana-1998	54	4	)	)	PUNCT
cana-1998	54	5	�	�	PROPN
cana-1998	54	6	κv	κv	PROPN
cana-1998	54	7	=	=	PUNCT
cana-1998	54	8	(	(	PUNCT
cana-1998	54	9	κζ	κζ	ADP
cana-1998	54	10	�	�	PROPN
cana-1998	54	11	κv	κv	PROPN
cana-1998	54	12	)	)	PUNCT
cana-1998	54	13	(	(	PUNCT
cana-1998	54	14	κη	κη	PROPN
cana-1998	54	15	�	�	PROPN
cana-1998	54	16	κv	κv	PROPN
cana-1998	54	17	)	)	PUNCT
cana-1998	54	18	,	,	PUNCT
cana-1998	54	19	∀	∀	PUNCT
cana-1998	54	20	κv	κv	VERB
cana-1998	54	21	,	,	PUNCT
cana-1998	54	22	κζ	κζ	ADV
cana-1998	54	23	,	,	PUNCT
cana-1998	54	24	κη	κη	PROPN
cana-1998	54	25	∈	∈	PROPN
cana-1998	54	26	b.	b.	PROPN
cana-1998	54	27	definition	definition	NOUN
cana-1998	54	28	2.2	2.2	NUM
cana-1998	54	29	.	.	PUNCT
cana-1998	55	1	a	a	DET
cana-1998	55	2	non	non	ADJ
cana-1998	55	3	-	-	ADJ
cana-1998	55	4	empty	empty	ADJ
cana-1998	55	5	subset	subset	NOUN
cana-1998	55	6	ξ	ξ	PROPN
cana-1998	55	7	of	of	ADP
cana-1998	55	8	a	a	DET
cana-1998	55	9	bisemiring	bisemiring	NOUN
cana-1998	55	10	(	(	PUNCT
cana-1998	55	11	b	b	NOUN
cana-1998	55	12	,	,	PUNCT
cana-1998	55	13	]	]	X
cana-1998	55	14	,	,	PUNCT
cana-1998	55	15	,	,	PUNCT
cana-1998	55	16	�	�	PROPN
cana-1998	55	17	)	)	PUNCT
cana-1998	55	18	is	be	AUX
cana-1998	55	19	a	a	DET
cana-1998	55	20	subbisemiring	subbisemiring	NOUN
cana-1998	55	21	if	if	SCONJ
cana-1998	55	22	zv	zv	PROPN
cana-1998	55	23	]	]	PUNCT
cana-1998	55	24	zζ	zζ	PROPN
cana-1998	55	25	∈	∈	PROPN
cana-1998	55	26	ξ	ξ	PROPN
cana-1998	55	27	,	,	PUNCT
cana-1998	55	28	zv	zv	PROPN
cana-1998	55	29	zζ	zζ	PROPN
cana-1998	55	30	∈	∈	PROPN
cana-1998	55	31	ξ	ξ	PROPN
cana-1998	55	32	and	and	CCONJ
cana-1998	55	33	zv	zv	PROPN
cana-1998	55	34	�	�	PROPN
cana-1998	55	35	zζ	zζ	PROPN
cana-1998	55	36	∈	∈	PROPN
cana-1998	55	37	ξ	ξ	PROPN
cana-1998	55	38	for	for	ADP
cana-1998	55	39	all	all	PRON
cana-1998	55	40	zv	zv	PROPN
cana-1998	55	41	,	,	PUNCT
cana-1998	55	42	zζ	zζ	NOUN
cana-1998	55	43	∈	∈	PROPN
cana-1998	55	44	ξ	ξ	PROPN
cana-1998	55	45	.	.	PUNCT
cana-1998	56	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	56	2	419	419	NUM
cana-1998	56	3	communications	communication	NOUN
cana-1998	56	4	on	on	ADP
cana-1998	56	5	applied	apply	VERB
cana-1998	56	6	nonlinear	nonlinear	ADJ
cana-1998	56	7	analysis	analysis	NOUN
cana-1998	56	8	issn	issn	NOUN
cana-1998	56	9	:	:	PUNCT
cana-1998	56	10	1074	1074	NUM
cana-1998	56	11	-	-	PUNCT
cana-1998	56	12	133x	133x	NUM
cana-1998	56	13	vol	vol	NOUN
cana-1998	56	14	32	32	NUM
cana-1998	56	15	no	no	NOUN
cana-1998	56	16	.	.	NOUN
cana-1998	56	17	3	3	NUM
cana-1998	56	18	(	(	PUNCT
cana-1998	56	19	2025	2025	NUM
cana-1998	56	20	)	)	PUNCT
cana-1998	56	21	definition	definition	NOUN
cana-1998	56	22	2.3	2.3	NUM
cana-1998	56	23	.	.	PUNCT
cana-1998	57	1	let	let	AUX
cana-1998	57	2	(	(	PUNCT
cana-1998	57	3	b,+	b,+	VERB
cana-1998	57	4	,	,	PUNCT
cana-1998	57	5	·	·	PUNCT
cana-1998	57	6	)	)	PUNCT
cana-1998	57	7	be	be	AUX
cana-1998	57	8	semiring	semire	VERB
cana-1998	57	9	.	.	PUNCT
cana-1998	58	1	a	a	DET
cana-1998	58	2	fuzzy	fuzzy	ADJ
cana-1998	58	3	subset	subset	VERB
cana-1998	58	4	ξ	ξ	PROPN
cana-1998	58	5	of	of	ADP
cana-1998	58	6	b	b	PROPN
cana-1998	58	7	is	be	AUX
cana-1998	58	8	said	say	VERB
cana-1998	58	9	to	to	PART
cana-1998	58	10	be	be	AUX
cana-1998	58	11	fuzzy	fuzzy	ADJ
cana-1998	58	12	subbisemiring	subbisemiring	NOUN
cana-1998	58	13	if	if	SCONJ
cana-1998	58	14	(	(	PUNCT
cana-1998	58	15	i	i	NOUN
cana-1998	58	16	)	)	PUNCT
cana-1998	58	17	πξ(u1	πξ(u1	VERB
cana-1998	59	1	+	+	CCONJ
cana-1998	59	2	u2	u2	NOUN
cana-1998	59	3	)	)	PUNCT
cana-1998	59	4	≥	≥	NOUN
cana-1998	59	5	min{πξ(u1	min{πξ(u1	NOUN
cana-1998	59	6	)	)	PUNCT
cana-1998	59	7	,	,	PUNCT
cana-1998	59	8	πξ(u2	πξ(u2	NOUN
cana-1998	59	9	)	)	PUNCT
cana-1998	59	10	}	}	PUNCT
cana-1998	59	11	,	,	PUNCT
cana-1998	59	12	(	(	PUNCT
cana-1998	59	13	ii	ii	NOUN
cana-1998	59	14	)	)	PUNCT
cana-1998	59	15	πξ(u1	πξ(u1	NOUN
cana-1998	59	16	·	·	PUNCT
cana-1998	59	17	u2	u2	NOUN
cana-1998	59	18	)	)	PUNCT
cana-1998	59	19	≥	≥	NOUN
cana-1998	59	20	min{πξ(u1	min{πξ(u1	NOUN
cana-1998	59	21	)	)	PUNCT
cana-1998	59	22	,	,	PUNCT
cana-1998	59	23	πξ(u2	πξ(u2	NOUN
cana-1998	59	24	)	)	PUNCT
cana-1998	59	25	}	}	PUNCT
cana-1998	59	26	for	for	ADP
cana-1998	59	27	all	all	DET
cana-1998	59	28	u1	u1	NOUN
cana-1998	59	29	,	,	PUNCT
cana-1998	59	30	u2	u2	PROPN
cana-1998	59	31	∈	∈	PROPN
cana-1998	59	32	b.	b.	PROPN
cana-1998	59	33	definition	definition	NOUN
cana-1998	59	34	2.4	2.4	NUM
cana-1998	59	35	.	.	PUNCT
cana-1998	60	1	an	an	DET
cana-1998	60	2	intuitionistic	intuitionistic	ADJ
cana-1998	60	3	fuzzy	fuzzy	ADJ
cana-1998	60	4	set	set	NOUN
cana-1998	60	5	ξ	ξ	PROPN
cana-1998	60	6	in	in	ADP
cana-1998	60	7	non	non	ADJ
cana-1998	60	8	-	-	ADJ
cana-1998	60	9	empty	empty	ADJ
cana-1998	60	10	set	set	ADJ
cana-1998	60	11	u	u	NOUN
cana-1998	60	12	is	be	AUX
cana-1998	60	13	defined	define	VERB
cana-1998	60	14	,	,	PUNCT
cana-1998	60	15	the	the	DET
cana-1998	60	16	form	form	NOUN
cana-1998	61	1	ξ	ξ	X
cana-1998	61	2	=	=	SYM
cana-1998	61	3	{	{	PUNCT
cana-1998	61	4	<	<	X
cana-1998	61	5	u	u	NOUN
cana-1998	61	6	,	,	PUNCT
cana-1998	61	7	πξ(u	πξ(u	NOUN
cana-1998	61	8	)	)	PUNCT
cana-1998	61	9	,	,	PUNCT
cana-1998	61	10	ωξ(u)|u	ωξ(u)|u	PROPN
cana-1998	61	11	∈	∈	PROPN
cana-1998	61	12	u	u	NOUN
cana-1998	61	13	>	>	X
cana-1998	61	14	}	}	PUNCT
cana-1998	61	15	where	where	SCONJ
cana-1998	61	16	πξ	πξ	NOUN
cana-1998	61	17	:	:	PUNCT
cana-1998	61	18	u	u	X
cana-1998	61	19	→	→	SYM
cana-1998	61	20	[	[	X
cana-1998	61	21	0	0	NUM
cana-1998	61	22	,	,	PUNCT
cana-1998	61	23	1](define	1](define	NUM
cana-1998	61	24	the	the	DET
cana-1998	61	25	degree	degree	NOUN
cana-1998	61	26	of	of	ADP
cana-1998	61	27	membership	membership	NOUN
cana-1998	61	28	)	)	PUNCT
cana-1998	61	29	and	and	CCONJ
cana-1998	61	30	ωξ	ωξ	ADP
cana-1998	61	31	:	:	PUNCT
cana-1998	61	32	u	u	X
cana-1998	61	33	→	→	SYM
cana-1998	61	34	[	[	X
cana-1998	61	35	0	0	NUM
cana-1998	61	36	,	,	PUNCT
cana-1998	61	37	1	1	NUM
cana-1998	61	38	]	]	PUNCT
cana-1998	61	39	(	(	PUNCT
cana-1998	61	40	degree	degree	NOUN
cana-1998	61	41	of	of	ADP
cana-1998	61	42	non	non	ADJ
cana-1998	61	43	-	-	NOUN
cana-1998	61	44	membership	membership	NOUN
cana-1998	61	45	)	)	PUNCT
cana-1998	61	46	for	for	ADP
cana-1998	61	47	every	every	DET
cana-1998	61	48	u	u	PROPN
cana-1998	61	49	∈	∈	PROPN
cana-1998	61	50	u	u	NOUN
cana-1998	61	51	satisfying	satisfy	VERB
cana-1998	61	52	0	0	NUM
cana-1998	61	53	≤	≤	NUM
cana-1998	61	54	πξ(u	πξ(u	NOUN
cana-1998	61	55	)	)	PUNCT
cana-1998	61	56	+	+	NUM
cana-1998	61	57	ωξ(u	ωξ(u	NOUN
cana-1998	61	58	)	)	PUNCT
cana-1998	61	59	≤	≤	NUM
cana-1998	61	60	1	1	NUM
cana-1998	61	61	.	.	PUNCT
cana-1998	61	62	definition	definition	NOUN
cana-1998	61	63	2.5	2.5	NUM
cana-1998	61	64	.	.	PUNCT
cana-1998	62	1	a	a	DET
cana-1998	62	2	ns	ns	ADJ
cana-1998	62	3	v	v	NOUN
cana-1998	62	4	in	in	ADP
cana-1998	62	5	the	the	DET
cana-1998	62	6	universe	universe	NOUN
cana-1998	62	7	u	u	NOUN
cana-1998	62	8	is	be	AUX
cana-1998	62	9	v	v	NOUN
cana-1998	62	10	=	=	PUNCT
cana-1998	62	11	{	{	PUNCT
cana-1998	62	12	x	x	NOUN
cana-1998	62	13	,	,	PUNCT
cana-1998	62	14	uv(x	uv(x	NOUN
cana-1998	62	15	)	)	PUNCT
cana-1998	62	16	,	,	PUNCT
cana-1998	62	17	uiv(x	uiv(x	PROPN
cana-1998	62	18	)	)	PUNCT
cana-1998	62	19	,	,	PUNCT
cana-1998	62	20	uv(x)|x	uv(x)|x	PROPN
cana-1998	62	21	∈	∈	PROPN
cana-1998	62	22	u},where	u},where	NUM
cana-1998	62	23	uv(x),uiv(x	uv(x),uiv(x	NUM
cana-1998	62	24	)	)	PUNCT
cana-1998	62	25	uv(x	uv(x	PRON
cana-1998	62	26	)	)	PUNCT
cana-1998	62	27	represents	represent	VERB
cana-1998	62	28	the	the	DET
cana-1998	62	29	td	td	NOUN
cana-1998	62	30	,	,	PUNCT
cana-1998	62	31	id	id	PRON
cana-1998	62	32	and	and	CCONJ
cana-1998	62	33	fd	fd	PROPN
cana-1998	62	34	of	of	ADP
cana-1998	62	35	v	v	NUM
cana-1998	62	36	respectively	respectively	ADV
cana-1998	62	37	.	.	PUNCT
cana-1998	63	1	consider	consider	VERB
cana-1998	63	2	the	the	DET
cana-1998	63	3	mapping	mapping	NOUN
cana-1998	63	4	uv	uv	NOUN
cana-1998	63	5	:	:	PUNCT
cana-1998	63	6	u	u	NOUN
cana-1998	63	7	→	→	SYM
cana-1998	63	8	[	[	X
cana-1998	63	9	0	0	NUM
cana-1998	63	10	,	,	PUNCT
cana-1998	63	11	1	1	NUM
cana-1998	63	12	]	]	PUNCT
cana-1998	63	13	,	,	PUNCT
cana-1998	63	14	uiv	uiv	INTJ
cana-1998	63	15	:	:	PUNCT
cana-1998	63	16	u	u	NOUN
cana-1998	63	17	→	→	SYM
cana-1998	63	18	[	[	X
cana-1998	63	19	0	0	NUM
cana-1998	63	20	,	,	PUNCT
cana-1998	63	21	1	1	NUM
cana-1998	63	22	]	]	PUNCT
cana-1998	63	23	,	,	PUNCT
cana-1998	63	24	uv	uv	INTJ
cana-1998	63	25	:	:	PUNCT
cana-1998	63	26	u	u	NOUN
cana-1998	63	27	→	→	SYM
cana-1998	63	28	[	[	X
cana-1998	63	29	0	0	NUM
cana-1998	63	30	,	,	PUNCT
cana-1998	63	31	1	1	NUM
cana-1998	63	32	]	]	PUNCT
cana-1998	63	33	and	and	CCONJ
cana-1998	63	34	0	0	NUM
cana-1998	63	35	�	�	NOUN
cana-1998	63	36	uv(x	uv(x	PRON
cana-1998	63	37	)	)	PUNCT
cana-1998	64	1	+	+	CCONJ
cana-1998	64	2	uiv(x	uiv(x	X
cana-1998	64	3	)	)	PUNCT
cana-1998	64	4	+	+	CCONJ
cana-1998	64	5	uv(x	uv(x	PRON
cana-1998	64	6	)	)	PUNCT
cana-1998	64	7	�	�	PROPN
cana-1998	64	8	3	3	NUM
cana-1998	64	9	.	.	PUNCT
cana-1998	64	10	definition	definition	NOUN
cana-1998	64	11	2.6	2.6	NUM
cana-1998	64	12	.	.	PUNCT
cana-1998	65	1	let	let	VERB
cana-1998	65	2	∂1	∂1	ADJ
cana-1998	65	3	=	=	SYM
cana-1998	65	4	〈	〈	PROPN
cana-1998	65	5	ut∂1	ut∂1	NOUN
cana-1998	65	6	,	,	PUNCT
cana-1998	65	7	ui∂1	ui∂1	ADJ
cana-1998	65	8	,	,	PUNCT
cana-1998	65	9	uf∂1	uf∂1	ADJ
cana-1998	65	10	〉	〉	PROPN
cana-1998	65	11	,	,	PUNCT
cana-1998	65	12	∂2	∂2	NOUN
cana-1998	66	1	=	=	SYM
cana-1998	66	2	〈	〈	PROPN
cana-1998	66	3	ut∂2	ut∂2	ADJ
cana-1998	66	4	,	,	PUNCT
cana-1998	66	5	ui∂2	ui∂2	ADJ
cana-1998	66	6	,	,	PUNCT
cana-1998	66	7	uf∂2	uf∂2	ADJ
cana-1998	66	8	〉	〉	NOUN
cana-1998	66	9	and	and	CCONJ
cana-1998	66	10	∂3	∂3	NOUN
cana-1998	67	1	=	=	PUNCT
cana-1998	67	2	〈	〈	PROPN
cana-1998	67	3	ut∂3	ut∂3	NOUN
cana-1998	67	4	,	,	PUNCT
cana-1998	67	5	ui∂3	ui∂3	NOUN
cana-1998	67	6	,	,	PUNCT
cana-1998	67	7	uf∂3	uf∂3	NOUN
cana-1998	67	8	〉	〉	PROPN
cana-1998	67	9	be	be	AUX
cana-1998	67	10	the	the	DET
cana-1998	67	11	three	three	NUM
cana-1998	67	12	neutrosophic	neutrosophic	ADJ
cana-1998	67	13	numbers	number	NOUN
cana-1998	67	14	over	over	ADP
cana-1998	67	15	u	u	NOUN
cana-1998	67	16	.	.	PUNCT
cana-1998	68	1	then	then	ADV
cana-1998	68	2	1	1	X
cana-1998	68	3	.	.	X
cana-1998	68	4	∂2	∂2	PROPN
cana-1998	68	5	t	t	PROPN
cana-1998	68	6	∂3	∂3	NOUN
cana-1998	68	7	=	=	SYM
cana-1998	68	8	〈	〈	PROPN
cana-1998	68	9	max(ut∂2	max(ut∂2	PROPN
cana-1998	68	10	,	,	PUNCT
cana-1998	68	11	ut∂3	ut∂3	NOUN
cana-1998	68	12	)	)	PUNCT
cana-1998	68	13	,	,	PUNCT
cana-1998	68	14	min(ui∂2	min(ui∂2	PROPN
cana-1998	68	15	,	,	PUNCT
cana-1998	68	16	ui∂3	ui∂3	NOUN
cana-1998	68	17	)	)	PUNCT
cana-1998	68	18	,	,	PUNCT
cana-1998	68	19	min(uf∂2	min(uf∂2	PROPN
cana-1998	68	20	,	,	PUNCT
cana-1998	68	21	uf∂3	uf∂3	NOUN
cana-1998	68	22	)	)	PUNCT
cana-1998	68	23	〉	〉	NOUN
cana-1998	68	24	,	,	PUNCT
cana-1998	68	25	2	2	NUM
cana-1998	68	26	.	.	NOUN
cana-1998	69	1	∂2	∂2	NUM
cana-1998	69	2	u	u	NOUN
cana-1998	69	3	∂3	∂3	NOUN
cana-1998	69	4	=	=	PUNCT
cana-1998	69	5	〈	〈	PROPN
cana-1998	69	6	min(ut∂2	min(ut∂2	PROPN
cana-1998	69	7	,	,	PUNCT
cana-1998	69	8	ut∂3	ut∂3	NOUN
cana-1998	69	9	)	)	PUNCT
cana-1998	69	10	,	,	PUNCT
cana-1998	69	11	max(ui∂2	max(ui∂2	PROPN
cana-1998	69	12	,	,	PUNCT
cana-1998	69	13	ui∂3	ui∂3	NOUN
cana-1998	69	14	)	)	PUNCT
cana-1998	69	15	,	,	PUNCT
cana-1998	69	16	max(uf∂2	max(uf∂2	NOUN
cana-1998	69	17	,	,	PUNCT
cana-1998	69	18	uf∂3	uf∂3	NOUN
cana-1998	69	19	)	)	PUNCT
cana-1998	69	20	〉	〉	NOUN
cana-1998	69	21	,	,	PUNCT
cana-1998	69	22	3	3	NUM
cana-1998	69	23	.	.	NOUN
cana-1998	69	24	∂2	∂2	PROPN
cana-1998	69	25	�	�	PROPN
cana-1998	69	26	∂3	∂3	PROPN
cana-1998	69	27	iff	iff	PROPN
cana-1998	69	28	ut∂2	ut∂2	PROPN
cana-1998	69	29	�	�	PROPN
cana-1998	69	30	ut∂3	ut∂3	NOUN
cana-1998	69	31	and	and	CCONJ
cana-1998	69	32	ui∂2	ui∂2	ADJ
cana-1998	69	33	�	�	PROPN
cana-1998	69	34	ui∂3	ui∂3	NOUN
cana-1998	69	35	and	and	CCONJ
cana-1998	69	36	uf∂2	uf∂2	ADJ
cana-1998	69	37	�	�	PROPN
cana-1998	69	38	uf∂3	uf∂3	NOUN
cana-1998	69	39	,	,	PUNCT
cana-1998	69	40	4	4	X
cana-1998	69	41	.	.	X
cana-1998	70	1	∂2	∂2	NOUN
cana-1998	70	2	=	=	SYM
cana-1998	70	3	∂3	∂3	NUM
cana-1998	70	4	iff	iff	PROPN
cana-1998	70	5	ut∂2	ut∂2	ADJ
cana-1998	71	1	=	=	X
cana-1998	72	1	ut∂3	ut∂3	NOUN
cana-1998	72	2	and	and	CCONJ
cana-1998	72	3	ui∂2	ui∂2	ADJ
cana-1998	72	4	=	=	SYM
cana-1998	72	5	ui∂3	ui∂3	NOUN
cana-1998	72	6	and	and	CCONJ
cana-1998	72	7	uf∂2	uf∂2	ADJ
cana-1998	72	8	=	=	NOUN
cana-1998	72	9	uf∂3	uf∂3	NOUN
cana-1998	72	10	.	.	PUNCT
cana-1998	73	1	definition	definition	NOUN
cana-1998	73	2	2.7	2.7	NUM
cana-1998	73	3	.	.	PUNCT
cana-1998	74	1	for	for	ADP
cana-1998	74	2	any	any	DET
cana-1998	74	3	ns	ns	NUM
cana-1998	74	4	∂	∂	NOUN
cana-1998	74	5	=	=	SYM
cana-1998	74	6	{	{	PUNCT
cana-1998	74	7	x	x	NOUN
cana-1998	74	8	,	,	PUNCT
cana-1998	74	9	χtv	χtv	INTJ
cana-1998	74	10	(	(	PUNCT
cana-1998	74	11	x	x	NOUN
cana-1998	74	12	)	)	PUNCT
cana-1998	74	13	,	,	PUNCT
cana-1998	74	14	χiv(x	χiv(x	PROPN
cana-1998	74	15	)	)	PUNCT
cana-1998	74	16	,	,	PUNCT
cana-1998	74	17	χfv	χfv	PROPN
cana-1998	74	18	(	(	PUNCT
cana-1998	74	19	x	x	X
cana-1998	74	20	)	)	PUNCT
cana-1998	74	21	}	}	PUNCT
cana-1998	74	22	of	of	ADP
cana-1998	74	23	u	u	PROPN
cana-1998	74	24	.	.	PUNCT
cana-1998	75	1	then	then	ADV
cana-1998	75	2	(	(	PUNCT
cana-1998	75	3	t	t	PROPN
cana-1998	75	4	,	,	PUNCT
cana-1998	75	5	s)-cut	s)-cut	VERB
cana-1998	75	6	is	be	AUX
cana-1998	75	7	defined	define	VERB
cana-1998	75	8	as	as	ADP
cana-1998	75	9	{	{	PUNCT
cana-1998	75	10	x	x	SYM
cana-1998	75	11	∈	∈	PROPN
cana-1998	75	12	u	u	NOUN
cana-1998	75	13	|χtv	|χtv	PROPN
cana-1998	75	14	(	(	PUNCT
cana-1998	75	15	x	x	X
cana-1998	75	16	)	)	PUNCT
cana-1998	75	17	�	�	PROPN
cana-1998	75	18	t	t	PROPN
cana-1998	75	19	,	,	PUNCT
cana-1998	75	20	χiv(x	χiv(x	PROPN
cana-1998	75	21	)	)	PUNCT
cana-1998	75	22	�	�	PROPN
cana-1998	75	23	s	s	PROPN
cana-1998	75	24	,	,	PUNCT
cana-1998	75	25	χfv	χfv	PROPN
cana-1998	75	26	(	(	PUNCT
cana-1998	75	27	x	x	X
cana-1998	75	28	)	)	PUNCT
cana-1998	75	29	�	�	PROPN
cana-1998	75	30	s	s	PART
cana-1998	75	31	}	}	PUNCT
cana-1998	75	32	.	.	PUNCT
cana-1998	76	1	definition	definition	NOUN
cana-1998	76	2	2.8	2.8	NUM
cana-1998	76	3	.	.	PUNCT
cana-1998	77	1	let	let	VERB
cana-1998	77	2	v	v	NOUN
cana-1998	77	3	and	and	CCONJ
cana-1998	77	4	y	y	PROPN
cana-1998	77	5	be	be	AUX
cana-1998	77	6	two	two	NUM
cana-1998	77	7	nss	nss	NOUN
cana-1998	77	8	of	of	ADP
cana-1998	77	9	b.	b.	PROPN
cana-1998	77	10	then	then	ADV
cana-1998	77	11	cartesian	cartesian	ADJ
cana-1998	77	12	product	product	NOUN
cana-1998	77	13	of	of	ADP
cana-1998	77	14	v	v	NOUN
cana-1998	77	15	and	and	CCONJ
cana-1998	77	16	y	y	PROPN
cana-1998	77	17	is	be	AUX
cana-1998	77	18	defined	define	VERB
cana-1998	77	19	as	as	ADP
cana-1998	77	20	v	v	NUM
cana-1998	77	21	×	×	NOUN
cana-1998	77	22	y	y	NOUN
cana-1998	77	23	=	=	PUNCT
cana-1998	77	24	{	{	PUNCT
cana-1998	77	25	χtv×y	χtv×y	NOUN
cana-1998	77	26	(	(	PUNCT
cana-1998	77	27	χ	χ	NOUN
cana-1998	77	28	,	,	PUNCT
cana-1998	77	29	∂	∂	NUM
cana-1998	77	30	)	)	PUNCT
cana-1998	77	31	,	,	PUNCT
cana-1998	77	32	χiv×y	χiv×y	X
cana-1998	77	33	(	(	PUNCT
cana-1998	77	34	χ	χ	NOUN
cana-1998	77	35	,	,	PUNCT
cana-1998	77	36	∂	∂	NUM
cana-1998	77	37	)	)	PUNCT
cana-1998	77	38	,	,	PUNCT
cana-1998	77	39	χfv×y	χfv×y	X
cana-1998	77	40	(	(	PUNCT
cana-1998	77	41	χ	χ	X
cana-1998	77	42	,	,	PUNCT
cana-1998	77	43	∂)|	∂)|	VERB
cana-1998	77	44	for	for	ADP
cana-1998	77	45	all	all	DET
cana-1998	77	46	χ	χ	NOUN
cana-1998	77	47	,	,	PUNCT
cana-1998	78	1	∂	∂	NOUN
cana-1998	78	2	∈	∈	PROPN
cana-1998	78	3	b	b	PROPN
cana-1998	78	4	}	}	PUNCT
cana-1998	78	5	,	,	PUNCT
cana-1998	78	6	where	where	SCONJ
cana-1998	78	7	χtv×y	χtv×y	NOUN
cana-1998	78	8	(	(	PUNCT
cana-1998	78	9	χ	χ	NOUN
cana-1998	78	10	,	,	PUNCT
cana-1998	78	11	∂	∂	NUM
cana-1998	78	12	)	)	PUNCT
cana-1998	78	13	=	=	SYM
cana-1998	78	14	min{χtv	min{χtv	NOUN
cana-1998	78	15	(	(	PUNCT
cana-1998	78	16	x	x	NOUN
cana-1998	78	17	)	)	PUNCT
cana-1998	78	18	,	,	PUNCT
cana-1998	78	19	χty	χty	NOUN
cana-1998	78	20	(	(	PUNCT
cana-1998	78	21	∂	∂	NUM
cana-1998	78	22	)	)	PUNCT
cana-1998	78	23	}	}	PUNCT
cana-1998	78	24	,	,	PUNCT
cana-1998	78	25	χiv×y	χiv×y	X
cana-1998	78	26	(	(	PUNCT
cana-1998	78	27	χ	χ	NOUN
cana-1998	78	28	,	,	PUNCT
cana-1998	78	29	∂	∂	NUM
cana-1998	78	30	)	)	PUNCT
cana-1998	78	31	=	=	PRON
cana-1998	79	1	χiv	χiv	NOUN
cana-1998	79	2	(	(	PUNCT
cana-1998	79	3	x)+χiy	x)+χiy	X
cana-1998	79	4	(	(	PUNCT
cana-1998	79	5	∂	∂	NUM
cana-1998	79	6	)	)	PUNCT
cana-1998	79	7	2	2	NUM
cana-1998	79	8	,	,	PUNCT
cana-1998	79	9	χfv×y	χfv×y	X
cana-1998	79	10	(	(	PUNCT
cana-1998	79	11	χ	χ	NOUN
cana-1998	79	12	,	,	PUNCT
cana-1998	79	13	∂	∂	NUM
cana-1998	79	14	)	)	PUNCT
cana-1998	79	15	=	=	VERB
cana-1998	80	1	max{χfv	max{χfv	ADJ
cana-1998	80	2	(	(	PUNCT
cana-1998	80	3	x	x	NOUN
cana-1998	80	4	)	)	PUNCT
cana-1998	80	5	,	,	PUNCT
cana-1998	80	6	χfy	χfy	NOUN
cana-1998	80	7	(	(	PUNCT
cana-1998	80	8	∂	∂	NUM
cana-1998	80	9	)	)	PUNCT
cana-1998	80	10	}	}	PUNCT
cana-1998	80	11	.	.	PUNCT
cana-1998	81	1	definition	definition	NOUN
cana-1998	81	2	2.9	2.9	NUM
cana-1998	81	3	.	.	PUNCT
cana-1998	82	1	a	a	DET
cana-1998	82	2	fuzzy	fuzzy	ADJ
cana-1998	82	3	subset	subset	VERB
cana-1998	82	4	v	v	NOUN
cana-1998	82	5	of	of	ADP
cana-1998	82	6	a	a	DET
cana-1998	82	7	bisemiring	bisemiring	NOUN
cana-1998	82	8	(	(	PUNCT
cana-1998	82	9	b	b	NOUN
cana-1998	82	10	,	,	PUNCT
cana-1998	82	11	‡1	‡1	PROPN
cana-1998	82	12	,	,	PUNCT
cana-1998	82	13	‡2	‡2	PROPN
cana-1998	82	14	,	,	PUNCT
cana-1998	82	15	‡3	‡3	NUM
cana-1998	82	16	)	)	PUNCT
cana-1998	82	17	is	be	AUX
cana-1998	82	18	represents	represent	VERB
cana-1998	82	19	a	a	DET
cana-1998	82	20	fuzzy	fuzzy	ADJ
cana-1998	82	21	subbisemiring	subbisemiring	NOUN
cana-1998	82	22	of	of	ADP
cana-1998	82	23	b	b	NOUN
cana-1998	82	24	if	if	SCONJ
cana-1998	82	25	χv(χ‡1ε	χv(χ‡1ε	NOUN
cana-1998	82	26	)	)	PUNCT
cana-1998	82	27	�	�	PROPN
cana-1998	82	28	min{χv(x	min{χv(x	PROPN
cana-1998	82	29	)	)	PUNCT
cana-1998	82	30	,	,	PUNCT
cana-1998	82	31	χv(ε	χv(ε	NOUN
cana-1998	82	32	)	)	PUNCT
cana-1998	82	33	}	}	PUNCT
cana-1998	82	34	,	,	PUNCT
cana-1998	82	35	χv(χ‡2ε	χv(χ‡2ε	ADJ
cana-1998	82	36	)	)	PUNCT
cana-1998	82	37	�	�	PROPN
cana-1998	82	38	min{χv(x	min{χv(x	PROPN
cana-1998	82	39	)	)	PUNCT
cana-1998	82	40	,	,	PUNCT
cana-1998	82	41	χv(ε	χv(ε	NOUN
cana-1998	82	42	)	)	PUNCT
cana-1998	82	43	}	}	PUNCT
cana-1998	82	44	,	,	PUNCT
cana-1998	82	45	χv(χ‡3	χv(χ‡3	PROPN
cana-1998	82	46	ε	ε	PROPN
cana-1998	82	47	)	)	PUNCT
cana-1998	82	48	�	�	PROPN
cana-1998	82	49	min{χv(x	min{χv(x	PROPN
cana-1998	82	50	)	)	PUNCT
cana-1998	82	51	,	,	PUNCT
cana-1998	82	52	χv(ε)},for	χv(ε)},for	ADP
cana-1998	82	53	all	all	PRON
cana-1998	82	54	χ	χ	ADJ
cana-1998	82	55	,	,	PUNCT
cana-1998	82	56	ε	ε	PROPN
cana-1998	82	57	∈	∈	PROPN
cana-1998	82	58	b.	b.	PROPN
cana-1998	82	59	3	3	NUM
cana-1998	82	60	complex	complex	ADJ
cana-1998	82	61	cubic	cubic	ADJ
cana-1998	82	62	intuitionistic	intuitionistic	ADJ
cana-1998	82	63	fuzzy	fuzzy	ADJ
cana-1998	82	64	subbisemiring	subbisemiring	NOUN
cana-1998	82	65	here	here	ADV
cana-1998	82	66	b	b	PROPN
cana-1998	82	67	denotes	denote	VERB
cana-1998	82	68	bisemiring	bisemire	VERB
cana-1998	82	69	unless	unless	SCONJ
cana-1998	82	70	other	other	ADJ
cana-1998	82	71	stated	state	VERB
cana-1998	82	72	.	.	PUNCT
cana-1998	83	1	definition	definition	NOUN
cana-1998	83	2	3.1	3.1	NUM
cana-1998	83	3	.	.	PUNCT
cana-1998	84	1	the	the	DET
cana-1998	84	2	complex	complex	ADJ
cana-1998	84	3	cubic	cubic	ADJ
cana-1998	84	4	ifs	ifs	PROPN
cana-1998	84	5	(	(	PUNCT
cana-1998	84	6	comcifs	comcifs	PROPN
cana-1998	84	7	)	)	PUNCT
cana-1998	84	8	z	z	NOUN
cana-1998	84	9	in	in	ADP
cana-1998	84	10	universal	universal	ADJ
cana-1998	84	11	set	set	NOUN
cana-1998	84	12	a	a	PRON
cana-1998	84	13	,	,	PUNCT
cana-1998	84	14	z	z	NOUN
cana-1998	84	15	=	=	SYM
cana-1998	84	16	{	{	PUNCT
cana-1998	84	17	~	~	NOUN
cana-1998	84	18	,	,	PUNCT
cana-1998	84	19	µ̂z(~	µ̂z(~	ADV
cana-1998	84	20	)	)	PUNCT
cana-1998	84	21	·	·	PUNCT
cana-1998	85	1	ei2πβ̂z(~	ei2πβ̂z(~	NOUN
cana-1998	85	2	)	)	PUNCT
cana-1998	85	3	,	,	PUNCT
cana-1998	85	4	ν̂z(~	ν̂z(~	ADV
cana-1998	85	5	)	)	PUNCT
cana-1998	85	6	·	·	PUNCT
cana-1998	85	7	ei2πγ̂	ei2πγ̂	X
cana-1998	86	1	(	(	PUNCT
cana-1998	86	2	~	~	NOUN
cana-1998	86	3	)	)	PUNCT
cana-1998	86	4	z	z	NOUN
cana-1998	86	5	,	,	PUNCT
cana-1998	86	6	µz(~	µz(~	X
cana-1998	86	7	)	)	PUNCT
cana-1998	86	8	·	·	PUNCT
cana-1998	86	9	ei2πβz(~	ei2πβz(~	ADV
cana-1998	86	10	)	)	PUNCT
cana-1998	86	11	,	,	PUNCT
cana-1998	86	12	νz(~	νz(~	PROPN
cana-1998	86	13	)	)	PUNCT
cana-1998	86	14	·	·	PUNCT
cana-1998	87	1	ei2πγ	ei2πγ	NUM
cana-1998	87	2	(	(	PUNCT
cana-1998	87	3	~	~	NOUN
cana-1998	87	4	)	)	PUNCT
cana-1998	87	5	z	z	NOUN
cana-1998	87	6	:	:	PUNCT
cana-1998	87	7	~	~	PUNCT
cana-1998	87	8	∈	∈	PROPN
cana-1998	87	9	a	a	PRON
cana-1998	87	10	}	}	PUNCT
cana-1998	87	11	,	,	PUNCT
cana-1998	87	12	where	where	SCONJ
cana-1998	87	13	µ̂z(~	µ̂z(~	ADV
cana-1998	87	14	)	)	PUNCT
cana-1998	87	15	=	=	PUNCT
cana-1998	88	1	[	[	X
cana-1998	88	2	µlz	µlz	NOUN
cana-1998	88	3	,	,	PUNCT
cana-1998	88	4	µ	µ	X
cana-1998	88	5	u	u	NOUN
cana-1998	88	6	z	z	PROPN
cana-1998	88	7	]	]	X
cana-1998	88	8	,	,	PUNCT
cana-1998	88	9	ν̂z(~	ν̂z(~	ADV
cana-1998	88	10	)	)	PUNCT
cana-1998	88	11	=	=	PUNCT
cana-1998	89	1	[	[	X
cana-1998	89	2	νlz	νlz	NOUN
cana-1998	89	3	,	,	PUNCT
cana-1998	89	4	ν	ν	X
cana-1998	89	5	u	u	NOUN
cana-1998	89	6	z	z	PROPN
cana-1998	89	7	]	]	PUNCT
cana-1998	89	8	and	and	CCONJ
cana-1998	89	9	µ	µ	NOUN
cana-1998	89	10	,	,	PUNCT
cana-1998	89	11	ν	ν	X
cana-1998	89	12	:	:	PUNCT
cana-1998	89	13	a	a	DET
cana-1998	89	14	→	→	SYM
cana-1998	89	15	d[0	d[0	ADJ
cana-1998	89	16	,	,	PUNCT
cana-1998	89	17	1	1	NUM
cana-1998	89	18	]	]	NUM
cana-1998	89	19	,	,	PUNCT
cana-1998	89	20	also	also	ADV
cana-1998	89	21	µ	µ	NUM
cana-1998	89	22	,	,	PUNCT
cana-1998	89	23	ν	ν	X
cana-1998	89	24	:	:	PUNCT
cana-1998	89	25	a	a	PRON
cana-1998	89	26	→	→	SYM
cana-1998	89	27	[	[	X
cana-1998	89	28	0	0	NUM
cana-1998	89	29	,	,	PUNCT
cana-1998	89	30	1	1	NUM
cana-1998	89	31	]	]	PUNCT
cana-1998	89	32	represents	represent	VERB
cana-1998	89	33	the	the	DET
cana-1998	89	34	truth	truth	NOUN
cana-1998	89	35	degree	degree	NOUN
cana-1998	89	36	and	and	CCONJ
cana-1998	89	37	false	false	ADJ
cana-1998	89	38	degree	degree	NOUN
cana-1998	89	39	respectively	respectively	ADV
cana-1998	89	40	.	.	PUNCT
cana-1998	90	1	for	for	ADP
cana-1998	90	2	comcif	comcif	PROPN
cana-1998	90	3	number	number	NOUN
cana-1998	90	4	z	z	NOUN
cana-1998	90	5	=	=	SYM
cana-1998	90	6	{	{	PUNCT
cana-1998	90	7	~	~	NOUN
cana-1998	90	8	,	,	PUNCT
cana-1998	90	9	µ̂z(~	µ̂z(~	ADV
cana-1998	90	10	)	)	PUNCT
cana-1998	90	11	·	·	PUNCT
cana-1998	90	12	ei2πβ̂	ei2πβ̂	PRON
cana-1998	90	13	(	(	PUNCT
cana-1998	90	14	~	~	NOUN
cana-1998	90	15	)	)	PUNCT
cana-1998	90	16	z	z	NOUN
cana-1998	90	17	,	,	PUNCT
cana-1998	90	18	ν̂z(~	ν̂z(~	ADV
cana-1998	90	19	)	)	PUNCT
cana-1998	90	20	·	·	PUNCT
cana-1998	90	21	ei2πγ̂	ei2πγ̂	X
cana-1998	91	1	(	(	PUNCT
cana-1998	91	2	~	~	NOUN
cana-1998	91	3	)	)	PUNCT
cana-1998	91	4	z	z	NOUN
cana-1998	91	5	,	,	PUNCT
cana-1998	91	6	µz(~	µz(~	ADV
cana-1998	91	7	)	)	PUNCT
cana-1998	91	8	·	·	PUNCT
cana-1998	91	9	ei2πβ	ei2πβ	NUM
cana-1998	92	1	(	(	PUNCT
cana-1998	92	2	~	~	NOUN
cana-1998	92	3	)	)	PUNCT
cana-1998	92	4	z	z	NOUN
cana-1998	92	5	,	,	PUNCT
cana-1998	92	6	νz(~	νz(~	NUM
cana-1998	92	7	)	)	PUNCT
cana-1998	92	8	·	·	PUNCT
cana-1998	93	1	ei2πγ	ei2πγ	NUM
cana-1998	93	2	(	(	PUNCT
cana-1998	93	3	~	~	NOUN
cana-1998	93	4	)	)	PUNCT
cana-1998	93	5	z	z	NOUN
cana-1998	93	6	:	:	PUNCT
cana-1998	93	7	~	~	PUNCT
cana-1998	93	8	∈	∈	PROPN
cana-1998	93	9	a	a	PRON
cana-1998	93	10	}	}	PUNCT
cana-1998	93	11	.	.	PUNCT
cana-1998	94	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	94	2	420	420	NUM
cana-1998	94	3	communications	communication	NOUN
cana-1998	94	4	on	on	ADP
cana-1998	94	5	applied	apply	VERB
cana-1998	94	6	nonlinear	nonlinear	ADJ
cana-1998	94	7	analysis	analysis	NOUN
cana-1998	94	8	issn	issn	NOUN
cana-1998	94	9	:	:	PUNCT
cana-1998	94	10	1074	1074	NUM
cana-1998	94	11	-	-	PUNCT
cana-1998	94	12	133x	133x	NUM
cana-1998	94	13	vol	vol	NOUN
cana-1998	94	14	32	32	NUM
cana-1998	94	15	no	no	NOUN
cana-1998	94	16	.	.	NOUN
cana-1998	94	17	3	3	NUM
cana-1998	94	18	(	(	PUNCT
cana-1998	94	19	2025	2025	NUM
cana-1998	94	20	)	)	PUNCT
cana-1998	94	21	definition	definition	NOUN
cana-1998	94	22	3.2	3.2	NUM
cana-1998	94	23	.	.	PUNCT
cana-1998	95	1	let	let	VERB
cana-1998	95	2	z	z	NOUN
cana-1998	95	3	=	=	PRON
cana-1998	95	4	{	{	PUNCT
cana-1998	95	5	~	~	NOUN
cana-1998	95	6	,	,	PUNCT
cana-1998	95	7	µ̂z(~	µ̂z(~	ADV
cana-1998	95	8	)	)	PUNCT
cana-1998	95	9	·	·	PUNCT
cana-1998	96	1	ei2πβ̂	ei2πβ̂	PRON
cana-1998	96	2	(	(	PUNCT
cana-1998	96	3	~	~	NOUN
cana-1998	96	4	)	)	PUNCT
cana-1998	96	5	z	z	NOUN
cana-1998	96	6	,	,	PUNCT
cana-1998	96	7	ν̂z(~	ν̂z(~	ADV
cana-1998	96	8	)	)	PUNCT
cana-1998	96	9	·	·	PUNCT
cana-1998	96	10	ei2πγ̂	ei2πγ̂	X
cana-1998	97	1	(	(	PUNCT
cana-1998	97	2	~	~	NOUN
cana-1998	97	3	)	)	PUNCT
cana-1998	97	4	z	z	NOUN
cana-1998	97	5	,	,	PUNCT
cana-1998	97	6	µz(~	µz(~	ADV
cana-1998	97	7	)	)	PUNCT
cana-1998	97	8	·	·	PUNCT
cana-1998	97	9	ei2πβ	ei2πβ	NUM
cana-1998	98	1	(	(	PUNCT
cana-1998	98	2	~	~	NOUN
cana-1998	98	3	)	)	PUNCT
cana-1998	98	4	z	z	NOUN
cana-1998	98	5	,	,	PUNCT
cana-1998	98	6	νz(~	νz(~	NUM
cana-1998	98	7	)	)	PUNCT
cana-1998	98	8	·	·	PUNCT
cana-1998	99	1	ei2πγ	ei2πγ	NUM
cana-1998	99	2	(	(	PUNCT
cana-1998	99	3	~	~	NOUN
cana-1998	99	4	)	)	PUNCT
cana-1998	99	5	z	z	NOUN
cana-1998	99	6	}	}	PUNCT
cana-1998	99	7	and	and	CCONJ
cana-1998	99	8	k	k	X
cana-1998	99	9	=	=	X
cana-1998	99	10	{	{	PUNCT
cana-1998	100	1	~	~	NOUN
cana-1998	100	2	,	,	PUNCT
cana-1998	100	3	µ̂k(~)·ei2πβ̂	µ̂k(~)·ei2πβ̂	X
cana-1998	100	4	(	(	PUNCT
cana-1998	100	5	~	~	PROPN
cana-1998	100	6	)	)	PUNCT
cana-1998	100	7	k	k	NOUN
cana-1998	100	8	,	,	PUNCT
cana-1998	100	9	ν̂k(~)·ei2πγ̂	ν̂k(~)·ei2πγ̂	PROPN
cana-1998	100	10	(	(	PUNCT
cana-1998	100	11	~	~	NUM
cana-1998	100	12	)	)	PUNCT
cana-1998	100	13	k	k	NOUN
cana-1998	100	14	,	,	PUNCT
cana-1998	100	15	µk(~)·ei2πβ	µk(~)·ei2πβ	X
cana-1998	100	16	(	(	PUNCT
cana-1998	100	17	~	~	NOUN
cana-1998	100	18	)	)	PUNCT
cana-1998	101	1	k	k	NOUN
cana-1998	101	2	,	,	PUNCT
cana-1998	101	3	νk(~)·ei2πγ	νk(~)·ei2πγ	X
cana-1998	101	4	(	(	PUNCT
cana-1998	101	5	~	~	NUM
cana-1998	101	6	)	)	PUNCT
cana-1998	101	7	k	k	NOUN
cana-1998	101	8	}	}	PUNCT
cana-1998	101	9	be	be	AUX
cana-1998	101	10	two	two	NUM
cana-1998	101	11	comcifns	comcifns	NOUN
cana-1998	101	12	of	of	ADP
cana-1998	101	13	a.	a.	NOUN
cana-1998	101	14	then	then	ADV
cana-1998	101	15	we	we	PRON
cana-1998	101	16	define	define	VERB
cana-1998	101	17	the	the	DET
cana-1998	101	18	intersection	intersection	NOUN
cana-1998	101	19	and	and	CCONJ
cana-1998	101	20	union	union	NOUN
cana-1998	101	21	operation	operation	NOUN
cana-1998	101	22	is	be	AUX
cana-1998	101	23	defined	define	VERB
cana-1998	101	24	as	as	ADP
cana-1998	101	25	(	(	PUNCT
cana-1998	101	26	i	i	NOUN
cana-1998	101	27	)	)	PUNCT
cana-1998	101	28	zuk	zuk	PROPN
cana-1998	102	1	=	=	SYM
cana-1998	102	2	{	{	PUNCT
cana-1998	102	3	(	(	PUNCT
cana-1998	102	4	~,min{µ̂z(~	~,min{µ̂z(~	NUM
cana-1998	102	5	)	)	PUNCT
cana-1998	102	6	·	·	PUNCT
cana-1998	102	7	ei2πβ̂	ei2πβ̂	X
cana-1998	102	8	(	(	PUNCT
cana-1998	102	9	~	~	NOUN
cana-1998	102	10	)	)	PUNCT
cana-1998	102	11	z	z	NOUN
cana-1998	102	12	,	,	PUNCT
cana-1998	102	13	µ̂k(~	µ̂k(~	PROPN
cana-1998	102	14	)	)	PUNCT
cana-1998	102	15	·	·	PUNCT
cana-1998	102	16	ei2πβ̂	ei2πβ̂	X
cana-1998	102	17	(	(	PUNCT
cana-1998	102	18	~	~	NOUN
cana-1998	102	19	)	)	PUNCT
cana-1998	102	20	k	k	NOUN
cana-1998	102	21	}	}	PUNCT
cana-1998	102	22	,	,	PUNCT
cana-1998	102	23	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	102	24	)	)	PUNCT
cana-1998	102	25	·	·	PUNCT
cana-1998	102	26	ei2πγ̂	ei2πγ̂	X
cana-1998	103	1	(	(	PUNCT
cana-1998	103	2	~	~	NOUN
cana-1998	103	3	)	)	PUNCT
cana-1998	103	4	z	z	NOUN
cana-1998	103	5	,	,	PUNCT
cana-1998	103	6	ν̂k(~	ν̂k(~	PROPN
cana-1998	103	7	)	)	PUNCT
cana-1998	103	8	·	·	PUNCT
cana-1998	103	9	ei2πγ̂	ei2πγ̂	X
cana-1998	104	1	(	(	PUNCT
cana-1998	104	2	~	~	NOUN
cana-1998	104	3	)	)	PUNCT
cana-1998	104	4	k	k	NOUN
cana-1998	104	5	}	}	PUNCT
cana-1998	104	6	,	,	PUNCT
cana-1998	104	7	min{µz(~	min{µz(~	PROPN
cana-1998	104	8	)	)	PUNCT
cana-1998	104	9	·	·	PUNCT
cana-1998	104	10	ei2πβ	ei2πβ	NUM
cana-1998	104	11	(	(	PUNCT
cana-1998	104	12	~	~	NOUN
cana-1998	104	13	)	)	PUNCT
cana-1998	104	14	z	z	NOUN
cana-1998	104	15	,	,	PUNCT
cana-1998	104	16	µk(~	µk(~	PROPN
cana-1998	104	17	)	)	PUNCT
cana-1998	104	18	·	·	PUNCT
cana-1998	104	19	ei2πβ	ei2πβ	NUM
cana-1998	104	20	(	(	PUNCT
cana-1998	104	21	~	~	X
cana-1998	104	22	)	)	PUNCT
cana-1998	104	23	k	k	NOUN
cana-1998	104	24	}	}	PUNCT
cana-1998	104	25	,	,	PUNCT
cana-1998	104	26	max{νz(~	max{νz(~	PROPN
cana-1998	104	27	)	)	PUNCT
cana-1998	104	28	·	·	PUNCT
cana-1998	104	29	ei2πγ	ei2πγ	NUM
cana-1998	104	30	(	(	PUNCT
cana-1998	104	31	~	~	NOUN
cana-1998	104	32	)	)	PUNCT
cana-1998	104	33	z	z	NOUN
cana-1998	104	34	,	,	PUNCT
cana-1998	104	35	νk(~	νk(~	PROPN
cana-1998	104	36	)	)	PUNCT
cana-1998	104	37	·	·	PUNCT
cana-1998	104	38	ei2πγ	ei2πγ	NUM
cana-1998	104	39	(	(	PUNCT
cana-1998	104	40	~	~	NOUN
cana-1998	104	41	)	)	PUNCT
cana-1998	104	42	k	k	NOUN
cana-1998	104	43	}	}	PUNCT
cana-1998	104	44	)	)	PUNCT
cana-1998	104	45	∣∣∣~	∣∣∣~	NUM
cana-1998	104	46	∈	∈	PROPN
cana-1998	104	47	a	a	PRON
cana-1998	104	48	}	}	PUNCT
cana-1998	104	49	.	.	PUNCT
cana-1998	105	1	(	(	PUNCT
cana-1998	105	2	ii	ii	NOUN
cana-1998	105	3	)	)	PUNCT
cana-1998	105	4	ztk	ztk	NOUN
cana-1998	105	5	=	=	SYM
cana-1998	105	6	{	{	PUNCT
cana-1998	105	7	(	(	PUNCT
cana-1998	105	8	~,max{µ̂z(~)·ei2πβ̂	~,max{µ̂z(~)·ei2πβ̂	NOUN
cana-1998	105	9	(	(	PUNCT
cana-1998	105	10	~	~	NOUN
cana-1998	105	11	)	)	PUNCT
cana-1998	105	12	z	z	NOUN
cana-1998	105	13	,	,	PUNCT
cana-1998	105	14	µ̂k(~	µ̂k(~	PROPN
cana-1998	105	15	)	)	PUNCT
cana-1998	105	16	·	·	PUNCT
cana-1998	105	17	ei2πβ̂	ei2πβ̂	X
cana-1998	105	18	(	(	PUNCT
cana-1998	105	19	~	~	NOUN
cana-1998	105	20	)	)	PUNCT
cana-1998	105	21	k	k	NOUN
cana-1998	105	22	}	}	PUNCT
cana-1998	105	23	,	,	PUNCT
cana-1998	105	24	min{ν̂z(~)·ei2πγ̂	min{ν̂z(~)·ei2πγ̂	PROPN
cana-1998	105	25	(	(	PUNCT
cana-1998	105	26	~	~	NOUN
cana-1998	105	27	)	)	PUNCT
cana-1998	105	28	z	z	NOUN
cana-1998	105	29	,	,	PUNCT
cana-1998	105	30	ν̂k(~	ν̂k(~	PROPN
cana-1998	105	31	)	)	PUNCT
cana-1998	105	32	·	·	PUNCT
cana-1998	105	33	ei2πγ̂	ei2πγ̂	X
cana-1998	106	1	(	(	PUNCT
cana-1998	106	2	~	~	NOUN
cana-1998	106	3	)	)	PUNCT
cana-1998	106	4	k	k	NOUN
cana-1998	106	5	}	}	PUNCT
cana-1998	106	6	,	,	PUNCT
cana-1998	106	7	max{µz(~	max{µz(~	PROPN
cana-1998	106	8	)	)	PUNCT
cana-1998	106	9	·	·	PUNCT
cana-1998	106	10	ei2πβ	ei2πβ	NUM
cana-1998	106	11	(	(	PUNCT
cana-1998	106	12	~	~	NOUN
cana-1998	106	13	)	)	PUNCT
cana-1998	106	14	z	z	NOUN
cana-1998	106	15	,	,	PUNCT
cana-1998	106	16	µk(~	µk(~	PROPN
cana-1998	106	17	)	)	PUNCT
cana-1998	106	18	·	·	PUNCT
cana-1998	106	19	ei2πβ	ei2πβ	NUM
cana-1998	106	20	(	(	PUNCT
cana-1998	106	21	~	~	X
cana-1998	106	22	)	)	PUNCT
cana-1998	106	23	k	k	NOUN
cana-1998	106	24	}	}	PUNCT
cana-1998	106	25	,	,	PUNCT
cana-1998	106	26	min{νz(~	min{νz(~	PROPN
cana-1998	106	27	)	)	PUNCT
cana-1998	106	28	·	·	PUNCT
cana-1998	106	29	ei2πγ	ei2πγ	NUM
cana-1998	106	30	(	(	PUNCT
cana-1998	106	31	~	~	NOUN
cana-1998	106	32	)	)	PUNCT
cana-1998	106	33	z	z	NOUN
cana-1998	106	34	,	,	PUNCT
cana-1998	106	35	νk(~	νk(~	PROPN
cana-1998	106	36	)	)	PUNCT
cana-1998	106	37	·	·	PUNCT
cana-1998	106	38	ei2πγ	ei2πγ	NUM
cana-1998	106	39	(	(	PUNCT
cana-1998	106	40	~	~	NOUN
cana-1998	106	41	)	)	PUNCT
cana-1998	106	42	k	k	NOUN
cana-1998	106	43	}	}	PUNCT
cana-1998	106	44	)	)	PUNCT
cana-1998	106	45	∣∣∣~	∣∣∣~	NUM
cana-1998	106	46	∈	∈	PROPN
cana-1998	106	47	a	a	PRON
cana-1998	106	48	}	}	PUNCT
cana-1998	106	49	.	.	PUNCT
cana-1998	107	1	definition	definition	NOUN
cana-1998	107	2	3.3	3.3	NUM
cana-1998	107	3	.	.	PUNCT
cana-1998	108	1	for	for	ADP
cana-1998	108	2	any	any	DET
cana-1998	108	3	comcifz	comcifz	NOUN
cana-1998	108	4	=	=	PUNCT
cana-1998	108	5	{	{	PUNCT
cana-1998	108	6	~	~	NOUN
cana-1998	108	7	,	,	PUNCT
cana-1998	108	8	µ̂z(~)·ei2πβ̂	µ̂z(~)·ei2πβ̂	X
cana-1998	108	9	(	(	PUNCT
cana-1998	108	10	~	~	NOUN
cana-1998	108	11	)	)	PUNCT
cana-1998	108	12	z	z	NOUN
cana-1998	108	13	,	,	PUNCT
cana-1998	108	14	ν̂z(~)·ei2πγ̂	ν̂z(~)·ei2πγ̂	PROPN
cana-1998	108	15	(	(	PUNCT
cana-1998	108	16	~	~	NOUN
cana-1998	108	17	)	)	PUNCT
cana-1998	108	18	z	z	NOUN
cana-1998	108	19	,	,	PUNCT
cana-1998	108	20	µz(~)·ei2πβ	µz(~)·ei2πβ	NOUN
cana-1998	108	21	(	(	PUNCT
cana-1998	108	22	~	~	NUM
cana-1998	108	23	)	)	PUNCT
cana-1998	108	24	z	z	NOUN
cana-1998	108	25	,	,	PUNCT
cana-1998	108	26	νz(~	νz(~	PROPN
cana-1998	108	27	)	)	PUNCT
cana-1998	108	28	·	·	PUNCT
cana-1998	108	29	ei2πγ	ei2πγ	NUM
cana-1998	108	30	(	(	PUNCT
cana-1998	108	31	~	~	NOUN
cana-1998	108	32	)	)	PUNCT
cana-1998	108	33	z	z	NOUN
cana-1998	108	34	}	}	PUNCT
cana-1998	108	35	of	of	ADP
cana-1998	108	36	a	a	DET
cana-1998	108	37	universal	universal	ADJ
cana-1998	108	38	set	set	NOUN
cana-1998	108	39	a.	a.	NOUN
cana-1998	108	40	then	then	ADV
cana-1998	108	41	(	(	PUNCT
cana-1998	108	42	t	t	PROPN
cana-1998	108	43	,	,	PUNCT
cana-1998	108	44	s)-cut	s)-cut	VERB
cana-1998	108	45	is	be	AUX
cana-1998	108	46	defined	define	VERB
cana-1998	108	47	as	as	ADP
cana-1998	108	48	{	{	PUNCT
cana-1998	108	49	~	~	PUNCT
cana-1998	108	50	∈	∈	NOUN
cana-1998	108	51	a|µ̂z(~	a|µ̂z(~	ADV
cana-1998	108	52	)	)	PUNCT
cana-1998	108	53	·	·	PUNCT
cana-1998	109	1	ei2πβ̂	ei2πβ̂	PRON
cana-1998	109	2	(	(	PUNCT
cana-1998	109	3	~	~	NOUN
cana-1998	109	4	)	)	PUNCT
cana-1998	109	5	z	z	PROPN
cana-1998	109	6	�	�	PROPN
cana-1998	109	7	t	t	PROPN
cana-1998	109	8	,	,	PUNCT
cana-1998	109	9	ν̂z(~	ν̂z(~	ADV
cana-1998	109	10	)	)	PUNCT
cana-1998	109	11	·	·	PUNCT
cana-1998	109	12	ei2πγ̂	ei2πγ̂	X
cana-1998	110	1	(	(	PUNCT
cana-1998	110	2	~	~	NOUN
cana-1998	110	3	)	)	PUNCT
cana-1998	110	4	z	z	NOUN
cana-1998	110	5	�	�	PROPN
cana-1998	110	6	s	s	PART
cana-1998	110	7	,	,	PUNCT
cana-1998	110	8	µz(~	µz(~	ADV
cana-1998	110	9	)	)	PUNCT
cana-1998	110	10	·	·	PUNCT
cana-1998	110	11	ei2πβ	ei2πβ	NUM
cana-1998	110	12	(	(	PUNCT
cana-1998	110	13	~	~	NOUN
cana-1998	110	14	)	)	PUNCT
cana-1998	110	15	z	z	PROPN
cana-1998	110	16	�	�	PROPN
cana-1998	110	17	t	t	PROPN
cana-1998	110	18	,	,	PUNCT
cana-1998	110	19	νz(~	νz(~	PROPN
cana-1998	110	20	)	)	PUNCT
cana-1998	110	21	·	·	PUNCT
cana-1998	111	1	ei2πγ	ei2πγ	NUM
cana-1998	111	2	(	(	PUNCT
cana-1998	111	3	~	~	NOUN
cana-1998	111	4	)	)	PUNCT
cana-1998	111	5	z	z	NOUN
cana-1998	111	6	�	�	PROPN
cana-1998	111	7	s	s	PART
cana-1998	111	8	}	}	PUNCT
cana-1998	111	9	.	.	PUNCT
cana-1998	112	1	definition	definition	NOUN
cana-1998	112	2	3.4	3.4	NUM
cana-1998	112	3	.	.	PUNCT
cana-1998	113	1	the	the	DET
cana-1998	113	2	cartesian	cartesian	ADJ
cana-1998	113	3	product	product	NOUN
cana-1998	113	4	of	of	ADP
cana-1998	113	5	z	z	PROPN
cana-1998	113	6	and	and	CCONJ
cana-1998	113	7	k	k	PROPN
cana-1998	113	8	is	be	AUX
cana-1998	113	9	defined	define	VERB
cana-1998	113	10	as	as	ADP
cana-1998	113	11	z	z	PROPN
cana-1998	113	12	×	×	PROPN
cana-1998	113	13	k	k	PROPN
cana-1998	113	14	=	=	PRON
cana-1998	113	15	{	{	PUNCT
cana-1998	113	16	µ̂z×k((~,ð))·ei2π	µ̂z×k((~,ð))·ei2π	NOUN
cana-1998	113	17	̂	̂	PUNCT
cana-1998	113	18	β	β	X
cana-1998	113	19	(	(	PUNCT
cana-1998	113	20	(	(	PUNCT
cana-1998	113	21	~,ð	~,ð	NOUN
cana-1998	113	22	)	)	PUNCT
cana-1998	113	23	)	)	PUNCT
cana-1998	113	24	z×k	z×k	NUM
cana-1998	113	25	,	,	PUNCT
cana-1998	113	26	ν̂z×k(~,ð)·ei2π	ν̂z×k(~,ð)·ei2π	NOUN
cana-1998	113	27	̂	̂	PUNCT
cana-1998	113	28	γ	γ	X
cana-1998	113	29	(	(	PUNCT
cana-1998	113	30	(	(	PUNCT
cana-1998	113	31	~,ð	~,ð	NOUN
cana-1998	113	32	)	)	PUNCT
cana-1998	113	33	)	)	PUNCT
cana-1998	113	34	z×k	z×k	NUM
cana-1998	113	35	,	,	PUNCT
cana-1998	113	36	µz×k((~,ð))·ei2πβ	µz×k((~,ð))·ei2πβ	PRON
cana-1998	113	37	(	(	PUNCT
cana-1998	113	38	(	(	PUNCT
cana-1998	113	39	~,ð	~,ð	NOUN
cana-1998	113	40	)	)	PUNCT
cana-1998	113	41	)	)	PUNCT
cana-1998	113	42	z×k	z×k	NUM
cana-1998	113	43	,	,	PUNCT
cana-1998	113	44	νz×k(~,ð	νz×k(~,ð	PROPN
cana-1998	113	45	)	)	PUNCT
cana-1998	113	46	·	·	PUNCT
cana-1998	113	47	ei2πγ	ei2πγ	NUM
cana-1998	113	48	(	(	PUNCT
cana-1998	113	49	(	(	PUNCT
cana-1998	113	50	~,ð	~,ð	NOUN
cana-1998	113	51	)	)	PUNCT
cana-1998	113	52	)	)	PUNCT
cana-1998	113	53	z×k	z×k	PUNCT
cana-1998	114	1	|	|	ADV
cana-1998	114	2	for	for	ADP
cana-1998	114	3	all	all	DET
cana-1998	114	4	~,ð	~,ð	ADJ
cana-1998	114	5	∈	∈	NOUN
cana-1998	114	6	s	s	X
cana-1998	114	7	}	}	PUNCT
cana-1998	114	8	,	,	PUNCT
cana-1998	114	9	where	where	SCONJ
cana-1998	114	10	z	z	NOUN
cana-1998	114	11	and	and	CCONJ
cana-1998	114	12	k	k	PROPN
cana-1998	114	13	be	be	AUX
cana-1998	114	14	the	the	DET
cana-1998	114	15	comcif	comcif	NOUN
cana-1998	114	16	of	of	ADP
cana-1998	114	17	a	a	PRON
cana-1998	114	18	,	,	PUNCT
cana-1998	114	19	where	where	SCONJ
cana-1998	114	20			PRON
cana-1998	114	21	µ̂z×k((~,ð	µ̂z×k((~,ð	NOUN
cana-1998	114	22	)	)	PUNCT
cana-1998	114	23	)	)	PUNCT
cana-1998	114	24	·	·	PUNCT
cana-1998	115	1	ei2π	ei2π	NOUN
cana-1998	115	2	̂	̂	PUNCT
cana-1998	115	3	β	β	X
cana-1998	115	4	(	(	PUNCT
cana-1998	115	5	(	(	PUNCT
cana-1998	115	6	~,ð	~,ð	NOUN
cana-1998	115	7	)	)	PUNCT
cana-1998	115	8	)	)	PUNCT
cana-1998	115	9	z×k	z×k	PUNCT
cana-1998	115	10	=	=	SYM
cana-1998	115	11	min	min	PROPN
cana-1998	115	12	{	{	PUNCT
cana-1998	115	13	µ̂z(~	µ̂z(~	ADV
cana-1998	115	14	)	)	PUNCT
cana-1998	115	15	·	·	PUNCT
cana-1998	115	16	ei2πβ̂	ei2πβ̂	PRON
cana-1998	115	17	(	(	PUNCT
cana-1998	115	18	~	~	NOUN
cana-1998	115	19	)	)	PUNCT
cana-1998	115	20	z	z	NOUN
cana-1998	115	21	,	,	PUNCT
cana-1998	115	22	µ̂k(ð	µ̂k(ð	ADV
cana-1998	115	23	)	)	PUNCT
cana-1998	115	24	·	·	PUNCT
cana-1998	116	1	ei2πβ̂	ei2πβ̂	PRON
cana-1998	116	2	(	(	PUNCT
cana-1998	116	3	ð	ð	X
cana-1998	116	4	)	)	PUNCT
cana-1998	116	5	k	k	NOUN
cana-1998	116	6	}	}	PUNCT
cana-1998	116	7	ν̂z×k((~,ð	ν̂z×k((~,ð	NOUN
cana-1998	116	8	)	)	PUNCT
cana-1998	116	9	)	)	PUNCT
cana-1998	116	10	·	·	PUNCT
cana-1998	117	1	ei2π	ei2π	NOUN
cana-1998	117	2	̂	̂	PUNCT
cana-1998	117	3	γ	γ	X
cana-1998	117	4	(	(	PUNCT
cana-1998	117	5	(	(	PUNCT
cana-1998	117	6	~,ð	~,ð	NOUN
cana-1998	117	7	)	)	PUNCT
cana-1998	117	8	)	)	PUNCT
cana-1998	117	9	z×k	z×k	PUNCT
cana-1998	117	10	=	=	SYM
cana-1998	117	11	max	max	PROPN
cana-1998	117	12	{	{	PUNCT
cana-1998	117	13	ν̂z(~	ν̂z(~	ADV
cana-1998	117	14	)	)	PUNCT
cana-1998	117	15	·	·	PUNCT
cana-1998	117	16	ei2πγ̂	ei2πγ̂	X
cana-1998	117	17	(	(	PUNCT
cana-1998	117	18	~	~	NOUN
cana-1998	117	19	)	)	PUNCT
cana-1998	117	20	z	z	NOUN
cana-1998	117	21	,	,	PUNCT
cana-1998	117	22	ν̂k(ð	ν̂k(ð	PROPN
cana-1998	117	23	)	)	PUNCT
cana-1998	117	24	·	·	PUNCT
cana-1998	117	25	ei2πγ̂	ei2πγ̂	X
cana-1998	117	26	(	(	PUNCT
cana-1998	117	27	ð	ð	X
cana-1998	117	28	)	)	PUNCT
cana-1998	117	29	k	k	PROPN
cana-1998	117	30	}	}	PUNCT
cana-1998	117	31			ADV
cana-1998	117	32	µz×k((~,ð	µz×k((~,ð	NUM
cana-1998	117	33	)	)	PUNCT
cana-1998	117	34	)	)	PUNCT
cana-1998	117	35	·	·	PUNCT
cana-1998	117	36	ei2πβ	ei2πβ	NUM
cana-1998	117	37	(	(	PUNCT
cana-1998	117	38	(	(	PUNCT
cana-1998	117	39	~,ð	~,ð	NOUN
cana-1998	117	40	)	)	PUNCT
cana-1998	117	41	)	)	PUNCT
cana-1998	117	42	z×k	z×k	PUNCT
cana-1998	117	43	=	=	SYM
cana-1998	117	44	min	min	PROPN
cana-1998	117	45	{	{	PUNCT
cana-1998	117	46	µz(~	µz(~	PROPN
cana-1998	117	47	)	)	PUNCT
cana-1998	117	48	·	·	PUNCT
cana-1998	117	49	ei2πβ	ei2πβ	NUM
cana-1998	117	50	(	(	PUNCT
cana-1998	117	51	~	~	NOUN
cana-1998	117	52	)	)	PUNCT
cana-1998	117	53	z	z	NOUN
cana-1998	117	54	,	,	PUNCT
cana-1998	117	55	µk(ð	µk(ð	PUNCT
cana-1998	117	56	)	)	PUNCT
cana-1998	117	57	·	·	PUNCT
cana-1998	117	58	ei2πβ	ei2πβ	NUM
cana-1998	117	59	(	(	PUNCT
cana-1998	117	60	ð	ð	X
cana-1998	117	61	)	)	PUNCT
cana-1998	117	62	k	k	PROPN
cana-1998	117	63	}	}	PUNCT
cana-1998	117	64	νz×k((~,ð	νz×k((~,ð	PROPN
cana-1998	117	65	)	)	PUNCT
cana-1998	117	66	)	)	PUNCT
cana-1998	117	67	·	·	PUNCT
cana-1998	118	1	ei2πγ	ei2πγ	NOUN
cana-1998	118	2	(	(	PUNCT
cana-1998	118	3	(	(	PUNCT
cana-1998	118	4	~,ð	~,ð	NOUN
cana-1998	118	5	)	)	PUNCT
cana-1998	118	6	)	)	PUNCT
cana-1998	118	7	z×k	z×k	PUNCT
cana-1998	118	8	=	=	SYM
cana-1998	118	9	max	max	PROPN
cana-1998	118	10	{	{	PUNCT
cana-1998	118	11	νz(~	νz(~	PROPN
cana-1998	118	12	)	)	PUNCT
cana-1998	118	13	·	·	PUNCT
cana-1998	118	14	ei2πγ	ei2πγ	NUM
cana-1998	118	15	(	(	PUNCT
cana-1998	118	16	~	~	NOUN
cana-1998	118	17	)	)	PUNCT
cana-1998	118	18	z	z	NOUN
cana-1998	118	19	,	,	PUNCT
cana-1998	118	20	νk(ð	νk(ð	NUM
cana-1998	118	21	)	)	PUNCT
cana-1998	118	22	·	·	PUNCT
cana-1998	119	1	ei2πγ	ei2πγ	NUM
cana-1998	119	2	(	(	PUNCT
cana-1998	119	3	ð	ð	X
cana-1998	119	4	)	)	PUNCT
cana-1998	119	5	k	k	NOUN
cana-1998	119	6	}	}	PUNCT
cana-1998	120	1			ADP
cana-1998	120	2	definition	definition	NOUN
cana-1998	120	3	3.5	3.5	NUM
cana-1998	120	4	.	.	PUNCT
cana-1998	121	1	for	for	ADP
cana-1998	121	2	any	any	DET
cana-1998	121	3	comcif	comcif	PROPN
cana-1998	121	4	z	z	PROPN
cana-1998	121	5	of	of	ADP
cana-1998	121	6	b	b	PROPN
cana-1998	121	7	is	be	AUX
cana-1998	121	8	said	say	VERB
cana-1998	121	9	to	to	PART
cana-1998	121	10	be	be	AUX
cana-1998	121	11	a	a	DET
cana-1998	121	12	comcifsbs	comcifsbs	NOUN
cana-1998	121	13	of	of	ADP
cana-1998	121	14	b	b	PROPN
cana-1998	121	15	if	if	PROPN
cana-1998	121	16	µ̂z((~	µ̂z((~	NUM
cana-1998	121	17	�	�	PROPN
cana-1998	121	18	1	1	NUM
cana-1998	121	19	ð	ð	NUM
cana-1998	121	20	)	)	PUNCT
cana-1998	121	21	)	)	PUNCT
cana-1998	121	22	·	·	PUNCT
cana-1998	122	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	122	2	�	�	NOUN
cana-1998	122	3	1ð	1ð	NUM
cana-1998	122	4	)	)	PUNCT
cana-1998	122	5	)	)	PUNCT
cana-1998	122	6	�	�	PROPN
cana-1998	122	7	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	122	8	)	)	PUNCT
cana-1998	122	9	·	·	PUNCT
cana-1998	122	10	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	122	11	)	)	PUNCT
cana-1998	122	12	,	,	PUNCT
cana-1998	122	13	µ̂z(ð	µ̂z(ð	NUM
cana-1998	122	14	)	)	PUNCT
cana-1998	122	15	·	·	PUNCT
cana-1998	122	16	ei2πβ̂z((ð	ei2πβ̂z((ð	NOUN
cana-1998	122	17	)	)	PUNCT
cana-1998	122	18	}	}	PUNCT
cana-1998	122	19	µ̂z((~	µ̂z((~	NUM
cana-1998	122	20	�	�	PROPN
cana-1998	122	21	2	2	NUM
cana-1998	122	22	ð	ð	NUM
cana-1998	122	23	)	)	PUNCT
cana-1998	122	24	)	)	PUNCT
cana-1998	122	25	·	·	PUNCT
cana-1998	123	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	123	2	�	�	NOUN
cana-1998	123	3	2ð	2ð	NUM
cana-1998	123	4	)	)	PUNCT
cana-1998	123	5	)	)	PUNCT
cana-1998	123	6	�	�	PROPN
cana-1998	123	7	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	123	8	)	)	PUNCT
cana-1998	123	9	·	·	PUNCT
cana-1998	123	10	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	123	11	)	)	PUNCT
cana-1998	123	12	,	,	PUNCT
cana-1998	123	13	µ̂z(ð	µ̂z(ð	NUM
cana-1998	123	14	)	)	PUNCT
cana-1998	123	15	·	·	PUNCT
cana-1998	123	16	ei2πβ̂z((ð	ei2πβ̂z((ð	NOUN
cana-1998	123	17	)	)	PUNCT
cana-1998	123	18	}	}	PUNCT
cana-1998	123	19	µ̂z((~	µ̂z((~	NUM
cana-1998	123	20	�	�	PROPN
cana-1998	123	21	3	3	NUM
cana-1998	123	22	ð	ð	NUM
cana-1998	123	23	)	)	PUNCT
cana-1998	123	24	)	)	PUNCT
cana-1998	123	25	·	·	PUNCT
cana-1998	124	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	124	2	�	�	NOUN
cana-1998	124	3	3ð	3ð	NUM
cana-1998	124	4	)	)	PUNCT
cana-1998	124	5	)	)	PUNCT
cana-1998	124	6	�	�	PROPN
cana-1998	124	7	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	124	8	)	)	PUNCT
cana-1998	124	9	·	·	PUNCT
cana-1998	124	10	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	124	11	)	)	PUNCT
cana-1998	124	12	,	,	PUNCT
cana-1998	124	13	µ̂z(ð	µ̂z(ð	NUM
cana-1998	124	14	)	)	PUNCT
cana-1998	124	15	·	·	PUNCT
cana-1998	124	16	ei2πβ̂z((ð	ei2πβ̂z((ð	NOUN
cana-1998	124	17	)	)	PUNCT
cana-1998	124	18	}	}	PUNCT
cana-1998	124	19			VERB
cana-1998	124	20			PROPN
cana-1998	124	21	ν̂z((~	ν̂z((~	NOUN
cana-1998	124	22	�	�	NOUN
cana-1998	124	23	1	1	NUM
cana-1998	124	24	ð	ð	NUM
cana-1998	124	25	)	)	PUNCT
cana-1998	124	26	)	)	PUNCT
cana-1998	124	27	·	·	PUNCT
cana-1998	125	1	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	2	�	�	NOUN
cana-1998	125	3	1ð	1ð	NUM
cana-1998	125	4	)	)	PUNCT
cana-1998	125	5	)	)	PUNCT
cana-1998	125	6	�	�	PROPN
cana-1998	125	7	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	125	8	)	)	PUNCT
cana-1998	125	9	·	·	PUNCT
cana-1998	125	10	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	11	)	)	PUNCT
cana-1998	125	12	,	,	PUNCT
cana-1998	125	13	ν̂z(ð	ν̂z(ð	NUM
cana-1998	125	14	)	)	PUNCT
cana-1998	125	15	·	·	PUNCT
cana-1998	125	16	ei2πγ̂z((ð	ei2πγ̂z((ð	NOUN
cana-1998	125	17	)	)	PUNCT
cana-1998	125	18	}	}	PUNCT
cana-1998	125	19	ν̂z((~	ν̂z((~	NUM
cana-1998	125	20	�	�	NOUN
cana-1998	125	21	2	2	NUM
cana-1998	125	22	ð	ð	NUM
cana-1998	125	23	)	)	PUNCT
cana-1998	125	24	)	)	PUNCT
cana-1998	125	25	·	·	PUNCT
cana-1998	125	26	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	27	�	�	NOUN
cana-1998	125	28	2ð	2ð	NUM
cana-1998	125	29	)	)	PUNCT
cana-1998	125	30	)	)	PUNCT
cana-1998	125	31	�	�	PROPN
cana-1998	125	32	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	125	33	)	)	PUNCT
cana-1998	125	34	·	·	PUNCT
cana-1998	125	35	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	36	)	)	PUNCT
cana-1998	125	37	,	,	PUNCT
cana-1998	125	38	ν̂z(ð	ν̂z(ð	NUM
cana-1998	125	39	)	)	PUNCT
cana-1998	125	40	·	·	PUNCT
cana-1998	125	41	ei2πγ̂z((ð	ei2πγ̂z((ð	NOUN
cana-1998	125	42	)	)	PUNCT
cana-1998	125	43	}	}	PUNCT
cana-1998	125	44	ν̂z((~	ν̂z((~	NUM
cana-1998	125	45	�	�	NOUN
cana-1998	125	46	3	3	NUM
cana-1998	125	47	ð	ð	NUM
cana-1998	125	48	)	)	PUNCT
cana-1998	125	49	)	)	PUNCT
cana-1998	125	50	·	·	PUNCT
cana-1998	125	51	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	52	�	�	NOUN
cana-1998	125	53	3ð	3ð	NUM
cana-1998	125	54	)	)	PUNCT
cana-1998	125	55	)	)	PUNCT
cana-1998	125	56	�	�	PROPN
cana-1998	125	57	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	125	58	)	)	PUNCT
cana-1998	125	59	·	·	PUNCT
cana-1998	125	60	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	125	61	)	)	PUNCT
cana-1998	125	62	,	,	PUNCT
cana-1998	125	63	ν̂z(ð	ν̂z(ð	NUM
cana-1998	125	64	)	)	PUNCT
cana-1998	125	65	·	·	PUNCT
cana-1998	125	66	ei2πγ̂z((ð	ei2πγ̂z((ð	NOUN
cana-1998	125	67	)	)	PUNCT
cana-1998	125	68	}	}	PUNCT
cana-1998	125	69			PROPN
cana-1998	125	70			PROPN
cana-1998	125	71	µz((~	µz((~	X
cana-1998	125	72	�	�	PROPN
cana-1998	125	73	1	1	NUM
cana-1998	125	74	ð	ð	NUM
cana-1998	125	75	)	)	PUNCT
cana-1998	125	76	)	)	PUNCT
cana-1998	125	77	·	·	PUNCT
cana-1998	126	1	ei2πβz((~	ei2πβz((~	X
cana-1998	126	2	�	�	NOUN
cana-1998	126	3	1ð	1ð	NUM
cana-1998	126	4	)	)	PUNCT
cana-1998	126	5	)	)	PUNCT
cana-1998	126	6	�	�	PROPN
cana-1998	126	7	min{µz(~	min{µz(~	PROPN
cana-1998	126	8	)	)	PUNCT
cana-1998	126	9	·	·	PUNCT
cana-1998	126	10	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	126	11	)	)	PUNCT
cana-1998	126	12	,	,	PUNCT
cana-1998	126	13	µz(ð	µz(ð	PUNCT
cana-1998	126	14	)	)	PUNCT
cana-1998	126	15	·	·	PUNCT
cana-1998	126	16	ei2πβz((ð	ei2πβz((ð	NUM
cana-1998	126	17	)	)	PUNCT
cana-1998	126	18	}	}	PUNCT
cana-1998	126	19	µz((~	µz((~	X
cana-1998	126	20	�	�	NOUN
cana-1998	126	21	2	2	NUM
cana-1998	126	22	ð	ð	NUM
cana-1998	126	23	)	)	PUNCT
cana-1998	126	24	)	)	PUNCT
cana-1998	126	25	·	·	PUNCT
cana-1998	127	1	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	127	2	�	�	NOUN
cana-1998	127	3	2ð	2ð	NUM
cana-1998	127	4	)	)	PUNCT
cana-1998	127	5	)	)	PUNCT
cana-1998	127	6	�	�	PROPN
cana-1998	127	7	min{µz(~	min{µz(~	PROPN
cana-1998	127	8	)	)	PUNCT
cana-1998	127	9	·	·	PUNCT
cana-1998	127	10	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	127	11	)	)	PUNCT
cana-1998	127	12	,	,	PUNCT
cana-1998	127	13	µz(ð	µz(ð	PUNCT
cana-1998	127	14	)	)	PUNCT
cana-1998	127	15	·	·	PUNCT
cana-1998	127	16	ei2πβz((ð	ei2πβz((ð	NUM
cana-1998	127	17	)	)	PUNCT
cana-1998	127	18	}	}	PUNCT
cana-1998	127	19	µz((~	µz((~	X
cana-1998	127	20	�	�	X
cana-1998	127	21	3	3	NUM
cana-1998	127	22	ð	ð	NUM
cana-1998	127	23	)	)	PUNCT
cana-1998	127	24	)	)	PUNCT
cana-1998	127	25	·	·	PUNCT
cana-1998	128	1	ei2πβz((~	ei2πβz((~	X
cana-1998	128	2	�	�	NOUN
cana-1998	128	3	3ð	3ð	NUM
cana-1998	128	4	)	)	PUNCT
cana-1998	128	5	)	)	PUNCT
cana-1998	128	6	�	�	PROPN
cana-1998	128	7	min{µz(~	min{µz(~	PROPN
cana-1998	128	8	)	)	PUNCT
cana-1998	128	9	·	·	PUNCT
cana-1998	128	10	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	128	11	)	)	PUNCT
cana-1998	128	12	,	,	PUNCT
cana-1998	128	13	µz(ð	µz(ð	PUNCT
cana-1998	128	14	)	)	PUNCT
cana-1998	128	15	·	·	PUNCT
cana-1998	128	16	ei2πβz((ð	ei2πβz((ð	NUM
cana-1998	128	17	)	)	PUNCT
cana-1998	128	18	}	}	PUNCT
cana-1998	128	19			ADP
cana-1998	128	20	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	128	21	421	421	NUM
cana-1998	128	22	communications	communication	NOUN
cana-1998	128	23	on	on	ADP
cana-1998	128	24	applied	apply	VERB
cana-1998	128	25	nonlinear	nonlinear	ADJ
cana-1998	128	26	analysis	analysis	NOUN
cana-1998	128	27	issn	issn	NOUN
cana-1998	128	28	:	:	PUNCT
cana-1998	128	29	1074	1074	NUM
cana-1998	128	30	-	-	PUNCT
cana-1998	128	31	133x	133x	NUM
cana-1998	128	32	vol	vol	NOUN
cana-1998	128	33	32	32	NUM
cana-1998	128	34	no	no	NOUN
cana-1998	128	35	.	.	NOUN
cana-1998	128	36	3	3	NUM
cana-1998	128	37	(	(	PUNCT
cana-1998	128	38	2025	2025	NUM
cana-1998	128	39	)	)	PUNCT
cana-1998	129	1			PROPN
cana-1998	129	2	νz((~	νz((~	VERB
cana-1998	129	3	�	�	X
cana-1998	129	4	1	1	NUM
cana-1998	129	5	ð	ð	NUM
cana-1998	129	6	)	)	PUNCT
cana-1998	129	7	)	)	PUNCT
cana-1998	129	8	·	·	PUNCT
cana-1998	130	1	ei2πγz((~	ei2πγz((~	X
cana-1998	130	2	�	�	NOUN
cana-1998	130	3	1ð	1ð	NUM
cana-1998	130	4	)	)	PUNCT
cana-1998	130	5	)	)	PUNCT
cana-1998	130	6	�	�	PROPN
cana-1998	130	7	max{νz(~	max{νz(~	PROPN
cana-1998	130	8	)	)	PUNCT
cana-1998	130	9	·	·	PUNCT
cana-1998	130	10	ei2πγz((~	ei2πγz((~	X
cana-1998	130	11	)	)	PUNCT
cana-1998	130	12	,	,	PUNCT
cana-1998	130	13	νz(ð	νz(ð	X
cana-1998	130	14	)	)	PUNCT
cana-1998	130	15	·	·	PUNCT
cana-1998	130	16	ei2πγz((ð	ei2πγz((ð	NUM
cana-1998	130	17	)	)	PUNCT
cana-1998	130	18	}	}	PUNCT
cana-1998	130	19	νz((~	νz((~	X
cana-1998	130	20	�	�	X
cana-1998	130	21	2	2	NUM
cana-1998	130	22	ð	ð	NUM
cana-1998	130	23	)	)	PUNCT
cana-1998	130	24	)	)	PUNCT
cana-1998	130	25	·	·	PUNCT
cana-1998	131	1	ei2πγz((~	ei2πγz((~	NOUN
cana-1998	131	2	�	�	X
cana-1998	131	3	2ð	2ð	NUM
cana-1998	131	4	)	)	PUNCT
cana-1998	131	5	)	)	PUNCT
cana-1998	131	6	�	�	PROPN
cana-1998	131	7	max{νz(~	max{νz(~	PROPN
cana-1998	131	8	)	)	PUNCT
cana-1998	131	9	·	·	PUNCT
cana-1998	131	10	ei2πγz((~	ei2πγz((~	X
cana-1998	131	11	)	)	PUNCT
cana-1998	131	12	,	,	PUNCT
cana-1998	131	13	νz(ð	νz(ð	X
cana-1998	131	14	)	)	PUNCT
cana-1998	131	15	·	·	PUNCT
cana-1998	131	16	ei2πγz((ð	ei2πγz((ð	NUM
cana-1998	131	17	)	)	PUNCT
cana-1998	131	18	}	}	PUNCT
cana-1998	131	19	νz((~	νz((~	X
cana-1998	131	20	�	�	X
cana-1998	131	21	3	3	NUM
cana-1998	131	22	ð	ð	NUM
cana-1998	131	23	)	)	PUNCT
cana-1998	131	24	)	)	PUNCT
cana-1998	131	25	·	·	PUNCT
cana-1998	132	1	ei2πγz((~	ei2πγz((~	X
cana-1998	132	2	�	�	NOUN
cana-1998	132	3	3ð	3ð	NUM
cana-1998	132	4	)	)	PUNCT
cana-1998	132	5	)	)	PUNCT
cana-1998	132	6	�	�	PROPN
cana-1998	132	7	max{νz(~	max{νz(~	PROPN
cana-1998	132	8	)	)	PUNCT
cana-1998	132	9	·	·	PUNCT
cana-1998	133	1	ei2πγz((~	ei2πγz((~	X
cana-1998	133	2	)	)	PUNCT
cana-1998	133	3	,	,	PUNCT
cana-1998	133	4	νz(ð	νz(ð	X
cana-1998	133	5	)	)	PUNCT
cana-1998	133	6	·	·	PUNCT
cana-1998	133	7	ei2πγz((ð	ei2πγz((ð	NUM
cana-1998	133	8	)	)	PUNCT
cana-1998	133	9	}	}	PUNCT
cana-1998	133	10			X
cana-1998	133	11	for	for	ADP
cana-1998	133	12	all	all	DET
cana-1998	133	13	~,ð	~,ð	PROPN
cana-1998	133	14	∈	∈	PROPN
cana-1998	133	15	b.	b.	PROPN
cana-1998	133	16	example	example	NOUN
cana-1998	133	17	3.6	3.6	NUM
cana-1998	133	18	.	.	PUNCT
cana-1998	134	1	consider	consider	VERB
cana-1998	134	2	the	the	DET
cana-1998	134	3	bisemiring	bisemiring	NOUN
cana-1998	134	4	b	b	PROPN
cana-1998	134	5	=	=	PRON
cana-1998	134	6	{	{	PUNCT
cana-1998	134	7	x1	x1	PROPN
cana-1998	134	8	,	,	PUNCT
cana-1998	134	9	x2	x2	PROPN
cana-1998	134	10	,	,	PUNCT
cana-1998	134	11	x3	x3	ADJ
cana-1998	134	12	,	,	PUNCT
cana-1998	134	13	x4	x4	PROPN
cana-1998	134	14	}	}	PUNCT
cana-1998	134	15	with	with	ADP
cana-1998	134	16	the	the	DET
cana-1998	134	17	cayley	cayley	ADJ
cana-1998	134	18	table	table	NOUN
cana-1998	134	19	:	:	PUNCT
cana-1998	134	20	�	�	NOUN
cana-1998	134	21	1	1	NUM
cana-1998	134	22	x1	x1	NOUN
cana-1998	135	1	x2	x2	NOUN
cana-1998	135	2	x3	x3	PROPN
cana-1998	135	3	x4	x4	PROPN
cana-1998	136	1	x1	x1	PROPN
cana-1998	137	1	x1	x1	NUM
cana-1998	137	2	x1	x1	NUM
cana-1998	138	1	x1	x1	NUM
cana-1998	138	2	x1	x1	NUM
cana-1998	139	1	x2	x2	NOUN
cana-1998	139	2	x1	x1	NUM
cana-1998	140	1	x2	x2	NOUN
cana-1998	140	2	x1	x1	NUM
cana-1998	141	1	x2	x2	NOUN
cana-1998	141	2	x3	x3	VERB
cana-1998	141	3	x1	x1	PROPN
cana-1998	142	1	x1	x1	NUM
cana-1998	143	1	x3	x3	PROPN
cana-1998	143	2	x3	x3	PROPN
cana-1998	144	1	x4	x4	PROPN
cana-1998	144	2	x1	x1	PROPN
cana-1998	145	1	x2	x2	PROPN
cana-1998	145	2	x3	x3	PROPN
cana-1998	145	3	x4	x4	PROPN
cana-1998	145	4	�	�	PROPN
cana-1998	145	5	2	2	NUM
cana-1998	145	6	x1	x1	NOUN
cana-1998	146	1	x2	x2	NOUN
cana-1998	146	2	x3	x3	PROPN
cana-1998	146	3	x4	x4	PROPN
cana-1998	147	1	x1	x1	PROPN
cana-1998	148	1	x1	x1	NUM
cana-1998	149	1	x2	x2	NOUN
cana-1998	149	2	x3	x3	PROPN
cana-1998	150	1	x4	x4	PROPN
cana-1998	151	1	x2	x2	PROPN
cana-1998	152	1	x2	x2	PROPN
cana-1998	152	2	x2	x2	PROPN
cana-1998	152	3	x4	x4	PROPN
cana-1998	152	4	x4	x4	PROPN
cana-1998	152	5	x3	x3	PROPN
cana-1998	152	6	x3	x3	PROPN
cana-1998	153	1	x4	x4	PROPN
cana-1998	153	2	x3	x3	PROPN
cana-1998	153	3	x4	x4	PROPN
cana-1998	153	4	x4	x4	PROPN
cana-1998	153	5	x4	x4	PROPN
cana-1998	153	6	x4	x4	PROPN
cana-1998	153	7	x4	x4	PROPN
cana-1998	153	8	x4	x4	PROPN
cana-1998	153	9	�	�	PROPN
cana-1998	153	10	3	3	NUM
cana-1998	153	11	x1	x1	NOUN
cana-1998	154	1	x2	x2	NOUN
cana-1998	154	2	x3	x3	PROPN
cana-1998	154	3	x4	x4	PROPN
cana-1998	155	1	x1	x1	PROPN
cana-1998	156	1	x1	x1	NUM
cana-1998	156	2	x1	x1	NUM
cana-1998	157	1	x1	x1	NUM
cana-1998	157	2	x1	x1	NUM
cana-1998	158	1	x2	x2	NOUN
cana-1998	158	2	x1	x1	NUM
cana-1998	159	1	x2	x2	NOUN
cana-1998	159	2	x3	x3	PROPN
cana-1998	160	1	x4	x4	PROPN
cana-1998	160	2	x3	x3	PROPN
cana-1998	160	3	x4	x4	PROPN
cana-1998	160	4	x4	x4	PROPN
cana-1998	160	5	x4	x4	PROPN
cana-1998	160	6	x4	x4	PROPN
cana-1998	160	7	x4	x4	PROPN
cana-1998	160	8	x4	x4	PROPN
cana-1998	160	9	x4	x4	PROPN
cana-1998	160	10	x4	x4	PROPN
cana-1998	160	11	x4	x4	PROPN
cana-1998	160	12	(	(	PUNCT
cana-1998	160	13	w	w	NOUN
cana-1998	160	14	)	)	PUNCT
cana-1998	160	15	=	=	SYM
cana-1998	161	1	x1	x1	PROPN
cana-1998	161	2	(	(	PUNCT
cana-1998	161	3	w	w	NOUN
cana-1998	161	4	)	)	PUNCT
cana-1998	161	5	=	=	SYM
cana-1998	161	6	x2	x2	PROPN
cana-1998	161	7	(	(	PUNCT
cana-1998	161	8	µ̂z	µ̂z	NOUN
cana-1998	161	9	,	,	PUNCT
cana-1998	161	10	β̂z)(w	β̂z)(w	NOUN
cana-1998	161	11	)	)	PUNCT
cana-1998	161	12	[	[	X
cana-1998	161	13	0.45ei2π(0.5	0.45ei2π(0.5	NUM
cana-1998	161	14	)	)	PUNCT
cana-1998	161	15	,	,	PUNCT
cana-1998	161	16	0.5ei2π(0.55	0.5ei2π(0.55	NUM
cana-1998	161	17	)	)	PUNCT
cana-1998	161	18	]	]	PUNCT
cana-1998	162	1	[	[	X
cana-1998	162	2	0.35ei2π(0.4	0.35ei2π(0.4	X
cana-1998	162	3	)	)	PUNCT
cana-1998	162	4	,	,	PUNCT
cana-1998	162	5	0.4ei2π(0.45	0.4ei2π(0.45	NUM
cana-1998	162	6	)	)	PUNCT
cana-1998	162	7	]	]	PUNCT
cana-1998	162	8	(	(	PUNCT
cana-1998	162	9	ν̂z	ν̂z	PROPN
cana-1998	162	10	,	,	PUNCT
cana-1998	162	11	γ̂z)(w	γ̂z)(w	ADJ
cana-1998	162	12	)	)	PUNCT
cana-1998	163	1	[	[	X
cana-1998	163	2	0.4ei2π(0.3	0.4ei2π(0.3	NUM
cana-1998	163	3	)	)	PUNCT
cana-1998	163	4	,	,	PUNCT
cana-1998	163	5	0.45ei2π(0.35	0.45ei2π(0.35	NOUN
cana-1998	163	6	)	)	PUNCT
cana-1998	163	7	]	]	PUNCT
cana-1998	164	1	[	[	X
cana-1998	164	2	0.45ei2π(0.45	0.45ei2π(0.45	NUM
cana-1998	164	3	)	)	PUNCT
cana-1998	164	4	,	,	PUNCT
cana-1998	164	5	0.5ei2π(0.55	0.5ei2π(0.55	NUM
cana-1998	164	6	)	)	PUNCT
cana-1998	164	7	]	]	PUNCT
cana-1998	164	8	(	(	PUNCT
cana-1998	164	9	w	w	NOUN
cana-1998	164	10	)	)	PUNCT
cana-1998	164	11	=	=	SYM
cana-1998	164	12	x3	x3	ADJ
cana-1998	164	13	(	(	PUNCT
cana-1998	164	14	w	w	NOUN
cana-1998	164	15	)	)	PUNCT
cana-1998	164	16	=	=	SYM
cana-1998	164	17	x4	x4	PROPN
cana-1998	164	18	(	(	PUNCT
cana-1998	164	19	µ̂z	µ̂z	NOUN
cana-1998	164	20	,	,	PUNCT
cana-1998	164	21	β̂z)(w	β̂z)(w	NOUN
cana-1998	164	22	)	)	PUNCT
cana-1998	164	23	[	[	X
cana-1998	164	24	0.25ei2π(0.3	0.25ei2π(0.3	NUM
cana-1998	164	25	)	)	PUNCT
cana-1998	164	26	,	,	PUNCT
cana-1998	164	27	0.3ei2π(0.35	0.3ei2π(0.35	NUM
cana-1998	164	28	)	)	PUNCT
cana-1998	164	29	]	]	PUNCT
cana-1998	165	1	[	[	X
cana-1998	165	2	0.3ei2π(0.35	0.3ei2π(0.35	NUM
cana-1998	165	3	)	)	PUNCT
cana-1998	165	4	,	,	PUNCT
cana-1998	165	5	0.35ei2π(0.4	0.35ei2π(0.4	NUM
cana-1998	165	6	)	)	PUNCT
cana-1998	165	7	]	]	PUNCT
cana-1998	165	8	(	(	PUNCT
cana-1998	165	9	ν̂z	ν̂z	PROPN
cana-1998	165	10	,	,	PUNCT
cana-1998	165	11	γ̂z)(w	γ̂z)(w	ADJ
cana-1998	165	12	)	)	PUNCT
cana-1998	166	1	[	[	X
cana-1998	166	2	0.6ei2π(0.55	0.6ei2π(0.55	NUM
cana-1998	166	3	)	)	PUNCT
cana-1998	166	4	,	,	PUNCT
cana-1998	166	5	0.65ei2π(0.65	0.65ei2π(0.65	NUM
cana-1998	166	6	)	)	PUNCT
cana-1998	166	7	]	]	PUNCT
cana-1998	167	1	[	[	X
cana-1998	167	2	0.55ei2π(0.5	0.55ei2π(0.5	NOUN
cana-1998	167	3	)	)	PUNCT
cana-1998	167	4	,	,	PUNCT
cana-1998	167	5	0.6ei2π(0.6	0.6ei2π(0.6	PROPN
cana-1998	167	6	)	)	PUNCT
cana-1998	167	7	]	]	PUNCT
cana-1998	167	8	(	(	PUNCT
cana-1998	167	9	w	w	NOUN
cana-1998	167	10	)	)	PUNCT
cana-1998	168	1	=	=	SYM
cana-1998	168	2	x1	x1	PROPN
cana-1998	168	3	(	(	PUNCT
cana-1998	168	4	w	w	NOUN
cana-1998	168	5	)	)	PUNCT
cana-1998	168	6	=	=	SYM
cana-1998	168	7	x2	x2	PROPN
cana-1998	168	8	(	(	PUNCT
cana-1998	168	9	µz	µz	NOUN
cana-1998	168	10	,	,	PUNCT
cana-1998	168	11	βz)(w	βz)(w	ADJ
cana-1998	168	12	)	)	PUNCT
cana-1998	168	13	0.5ei2π(0.55	0.5ei2π(0.55	NUM
cana-1998	168	14	)	)	PUNCT
cana-1998	168	15	0.45ei2π(0.5	0.45ei2π(0.5	NUM
cana-1998	168	16	)	)	PUNCT
cana-1998	168	17	(	(	PUNCT
cana-1998	168	18	νz	νz	INTJ
cana-1998	168	19	,	,	PUNCT
cana-1998	168	20	γz)(w	γz)(w	PROPN
cana-1998	168	21	)	)	PUNCT
cana-1998	168	22	0.45ei2π(0.4	0.45ei2π(0.4	NUM
cana-1998	168	23	)	)	PUNCT
cana-1998	168	24	0.5ei2π(0.45	0.5ei2π(0.45	NUM
cana-1998	168	25	)	)	PUNCT
cana-1998	168	26	(	(	PUNCT
cana-1998	168	27	w	w	X
cana-1998	168	28	)	)	PUNCT
cana-1998	168	29	=	=	SYM
cana-1998	168	30	x3	x3	ADJ
cana-1998	168	31	(	(	PUNCT
cana-1998	168	32	w	w	NOUN
cana-1998	168	33	)	)	PUNCT
cana-1998	168	34	=	=	SYM
cana-1998	168	35	x4	x4	PROPN
cana-1998	168	36	(	(	PUNCT
cana-1998	168	37	µz	µz	NOUN
cana-1998	168	38	,	,	PUNCT
cana-1998	168	39	βz)(w	βz)(w	PROPN
cana-1998	168	40	)	)	PUNCT
cana-1998	168	41	0.3ei2π(0.45	0.3ei2π(0.45	NUM
cana-1998	168	42	)	)	PUNCT
cana-1998	168	43	0.35ei2π(0.4	0.35ei2π(0.4	NUM
cana-1998	168	44	)	)	PUNCT
cana-1998	168	45	(	(	PUNCT
cana-1998	168	46	νz	νz	INTJ
cana-1998	168	47	,	,	PUNCT
cana-1998	168	48	γz)(w	γz)(w	PROPN
cana-1998	168	49	)	)	PUNCT
cana-1998	168	50	0.6ei2π(0.55	0.6ei2π(0.55	NUM
cana-1998	168	51	)	)	PUNCT
cana-1998	168	52	0.55ei2π(0.5	0.55ei2π(0.5	NOUN
cana-1998	168	53	)	)	PUNCT
cana-1998	168	54	hence	hence	ADV
cana-1998	168	55	,	,	PUNCT
cana-1998	168	56	z	z	PROPN
cana-1998	168	57	is	be	AUX
cana-1998	168	58	a	a	DET
cana-1998	168	59	comcifsbs	comcifsbs	NOUN
cana-1998	168	60	of	of	ADP
cana-1998	168	61	b.	b.	PROPN
cana-1998	168	62	theorem	theorem	PROPN
cana-1998	168	63	3.7	3.7	NUM
cana-1998	168	64	.	.	PUNCT
cana-1998	169	1	the	the	DET
cana-1998	169	2	intersection	intersection	NOUN
cana-1998	169	3	of	of	ADP
cana-1998	169	4	a	a	DET
cana-1998	169	5	every	every	DET
cana-1998	169	6	comcifsbss	comcifsbss	NOUN
cana-1998	169	7	is	be	AUX
cana-1998	169	8	again	again	ADV
cana-1998	169	9	a	a	DET
cana-1998	169	10	comcifsbs	comcifsbs	NOUN
cana-1998	169	11	of	of	ADP
cana-1998	169	12	b.	b.	PROPN
cana-1998	169	13	proof	proof	NOUN
cana-1998	169	14	.	.	PUNCT
cana-1998	170	1	let	let	VERB
cana-1998	170	2	{	{	PUNCT
cana-1998	170	3	υ̂i	υ̂i	PROPN
cana-1998	170	4	:	:	PUNCT
cana-1998	170	5	i	i	PRON
cana-1998	170	6	∈	∈	PROPN
cana-1998	171	1	i	i	PRON
cana-1998	171	2	}	}	PUNCT
cana-1998	171	3	be	be	VERB
cana-1998	171	4	the	the	DET
cana-1998	171	5	family	family	NOUN
cana-1998	171	6	of	of	ADP
cana-1998	171	7	comcifsbss	comcifsbss	NOUN
cana-1998	171	8	of	of	ADP
cana-1998	171	9	b	b	NOUN
cana-1998	171	10	and	and	CCONJ
cana-1998	171	11	z	z	NOUN
cana-1998	171	12	=	=	SYM
cana-1998	171	13	⋂	⋂	PROPN
cana-1998	171	14	i∈i	i∈i	ADJ
cana-1998	171	15	υ̂i	υ̂i	PROPN
cana-1998	171	16	.	.	PUNCT
cana-1998	172	1	let	let	VERB
cana-1998	172	2	~,ð	~,ð	ADJ
cana-1998	172	3	∈	∈	PROPN
cana-1998	172	4	b.	b.	PROPN
cana-1998	172	5	now	now	ADV
cana-1998	172	6	,	,	PUNCT
cana-1998	172	7	µ̂z((~	µ̂z((~	NUM
cana-1998	172	8	�	�	PROPN
cana-1998	172	9	1	1	NUM
cana-1998	172	10	ð	ð	NUM
cana-1998	172	11	)	)	PUNCT
cana-1998	172	12	)	)	PUNCT
cana-1998	172	13	·	·	PUNCT
cana-1998	173	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	173	2	�	�	NOUN
cana-1998	173	3	1ð	1ð	NUM
cana-1998	173	4	)	)	PUNCT
cana-1998	173	5	)	)	PUNCT
cana-1998	174	1	=	=	SYM
cana-1998	174	2	inf	inf	PROPN
cana-1998	174	3	i∈i	i∈i	ADJ
cana-1998	174	4	µ̂υi((~	µ̂υi((~	VERB
cana-1998	174	5	�	�	X
cana-1998	174	6	1	1	NUM
cana-1998	174	7	ð	ð	NUM
cana-1998	174	8	)	)	PUNCT
cana-1998	174	9	)	)	PUNCT
cana-1998	174	10	·	·	PUNCT
cana-1998	175	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	175	2	�	�	NOUN
cana-1998	175	3	1ð	1ð	NUM
cana-1998	175	4	)	)	PUNCT
cana-1998	175	5	)	)	PUNCT
cana-1998	175	6	�	�	PROPN
cana-1998	175	7	inf	inf	PROPN
cana-1998	175	8	i∈i	i∈i	ADJ
cana-1998	175	9	min{µ̂υi(~	min{µ̂υi(~	PROPN
cana-1998	175	10	)	)	PUNCT
cana-1998	175	11	·	·	PUNCT
cana-1998	176	1	ei2πβ̂υi	ei2πβ̂υi	X
cana-1998	176	2	(	(	PUNCT
cana-1998	176	3	~	~	NOUN
cana-1998	176	4	)	)	PUNCT
cana-1998	176	5	,	,	PUNCT
cana-1998	176	6	µ̂υi(ð	µ̂υi(ð	PROPN
cana-1998	176	7	)	)	PUNCT
cana-1998	176	8	·	·	PUNCT
cana-1998	177	1	ei2πβ̂υi	ei2πβ̂υi	X
cana-1998	177	2	(	(	PUNCT
cana-1998	177	3	ð	ð	PROPN
cana-1998	177	4	)	)	PUNCT
cana-1998	177	5	}	}	PUNCT
cana-1998	177	6	=	=	SYM
cana-1998	177	7	min	min	PROPN
cana-1998	177	8	{	{	PUNCT
cana-1998	177	9	inf	inf	PROPN
cana-1998	177	10	i∈i	i∈i	NOUN
cana-1998	177	11	µ̂υi(~	µ̂υi(~	NOUN
cana-1998	177	12	)	)	PUNCT
cana-1998	177	13	·	·	PUNCT
cana-1998	178	1	ei2πβ̂υi	ei2πβ̂υi	X
cana-1998	178	2	(	(	PUNCT
cana-1998	178	3	~	~	NOUN
cana-1998	178	4	)	)	PUNCT
cana-1998	178	5	,	,	PUNCT
cana-1998	178	6	inf	inf	PROPN
cana-1998	178	7	i∈i	i∈i	ADJ
cana-1998	178	8	µ̂υi(ð	µ̂υi(ð	PROPN
cana-1998	178	9	)	)	PUNCT
cana-1998	178	10	·	·	PUNCT
cana-1998	179	1	ei2πβ̂υi	ei2πβ̂υi	X
cana-1998	179	2	(	(	PUNCT
cana-1998	179	3	ð	ð	PROPN
cana-1998	179	4	)	)	PUNCT
cana-1998	179	5	}	}	PUNCT
cana-1998	179	6	=	=	SYM
cana-1998	179	7	min{µ̂z(~	min{µ̂z(~	X
cana-1998	179	8	)	)	PUNCT
cana-1998	179	9	·	·	PUNCT
cana-1998	179	10	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	179	11	)	)	PUNCT
cana-1998	179	12	,	,	PUNCT
cana-1998	179	13	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	179	14	)	)	PUNCT
cana-1998	179	15	·	·	PUNCT
cana-1998	180	1	ei2πβ̂z(ð	ei2πβ̂z(ð	X
cana-1998	180	2	)	)	PUNCT
cana-1998	180	3	}	}	PUNCT
cana-1998	180	4	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	180	5	422	422	NUM
cana-1998	180	6	communications	communication	NOUN
cana-1998	180	7	on	on	ADP
cana-1998	180	8	applied	apply	VERB
cana-1998	180	9	nonlinear	nonlinear	ADJ
cana-1998	180	10	analysis	analysis	NOUN
cana-1998	180	11	issn	issn	NOUN
cana-1998	180	12	:	:	PUNCT
cana-1998	180	13	1074	1074	NUM
cana-1998	180	14	-	-	PUNCT
cana-1998	180	15	133x	133x	NUM
cana-1998	180	16	vol	vol	NOUN
cana-1998	180	17	32	32	NUM
cana-1998	180	18	no	no	NOUN
cana-1998	180	19	.	.	NOUN
cana-1998	180	20	3	3	NUM
cana-1998	180	21	(	(	PUNCT
cana-1998	180	22	2025	2025	NUM
cana-1998	180	23	)	)	PUNCT
cana-1998	180	24	similarly	similarly	ADV
cana-1998	180	25	,	,	PUNCT
cana-1998	180	26	µ̂z((~	µ̂z((~	NUM
cana-1998	180	27	�	�	PROPN
cana-1998	180	28	2	2	NUM
cana-1998	180	29	ð	ð	NUM
cana-1998	180	30	)	)	PUNCT
cana-1998	180	31	)	)	PUNCT
cana-1998	180	32	·	·	PUNCT
cana-1998	181	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	181	2	�	�	NOUN
cana-1998	181	3	2ð	2ð	NUM
cana-1998	181	4	)	)	PUNCT
cana-1998	181	5	)	)	PUNCT
cana-1998	181	6	�	�	PROPN
cana-1998	181	7	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	181	8	)	)	PUNCT
cana-1998	181	9	·	·	PUNCT
cana-1998	182	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	182	2	)	)	PUNCT
cana-1998	182	3	,	,	PUNCT
cana-1998	182	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	182	5	)	)	PUNCT
cana-1998	182	6	·	·	PUNCT
cana-1998	183	1	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	183	2	)	)	PUNCT
cana-1998	183	3	}	}	PUNCT
cana-1998	183	4	,	,	PUNCT
cana-1998	183	5	µ̂z((~	µ̂z((~	NUM
cana-1998	183	6	�	�	PROPN
cana-1998	183	7	3	3	NUM
cana-1998	183	8	ð	ð	NUM
cana-1998	183	9	)	)	PUNCT
cana-1998	183	10	)	)	PUNCT
cana-1998	183	11	·	·	PUNCT
cana-1998	184	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	184	2	�	�	NOUN
cana-1998	184	3	3ð	3ð	NUM
cana-1998	184	4	)	)	PUNCT
cana-1998	184	5	)	)	PUNCT
cana-1998	184	6	�	�	PROPN
cana-1998	184	7	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	184	8	)	)	PUNCT
cana-1998	184	9	·	·	PUNCT
cana-1998	185	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	185	2	)	)	PUNCT
cana-1998	185	3	,	,	PUNCT
cana-1998	185	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	185	5	)	)	PUNCT
cana-1998	185	6	·	·	PUNCT
cana-1998	186	1	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	186	2	)	)	PUNCT
cana-1998	186	3	}	}	PUNCT
cana-1998	186	4	.	.	PUNCT
cana-1998	187	1	now	now	ADV
cana-1998	187	2	,	,	PUNCT
cana-1998	187	3	ν̂z((~	ν̂z((~	NOUN
cana-1998	187	4	�	�	NOUN
cana-1998	187	5	1	1	NUM
cana-1998	187	6	ð	ð	NUM
cana-1998	187	7	)	)	PUNCT
cana-1998	187	8	)	)	PUNCT
cana-1998	187	9	·	·	PUNCT
cana-1998	187	10	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	187	11	�	�	NOUN
cana-1998	187	12	1ð	1ð	NUM
cana-1998	187	13	)	)	PUNCT
cana-1998	187	14	)	)	PUNCT
cana-1998	188	1	=	=	PUNCT
cana-1998	188	2	sup	sup	NOUN
cana-1998	188	3	i∈i	i∈i	ADJ
cana-1998	188	4	ν̂υi((~	ν̂υi((~	NOUN
cana-1998	188	5	�	�	NOUN
cana-1998	188	6	1	1	NUM
cana-1998	188	7	ð	ð	NUM
cana-1998	188	8	)	)	PUNCT
cana-1998	188	9	)	)	PUNCT
cana-1998	188	10	·	·	PUNCT
cana-1998	188	11	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	188	12	�	�	NOUN
cana-1998	188	13	1ð	1ð	NUM
cana-1998	188	14	)	)	PUNCT
cana-1998	188	15	)	)	PUNCT
cana-1998	189	1	�	�	PROPN
cana-1998	189	2	sup	sup	PROPN
cana-1998	189	3	i∈i	i∈i	PROPN
cana-1998	189	4	max{ν̂υi(~	max{ν̂υi(~	PROPN
cana-1998	189	5	)	)	PUNCT
cana-1998	189	6	·	·	PUNCT
cana-1998	190	1	ei2πγ̂υi	ei2πγ̂υi	PROPN
cana-1998	190	2	(	(	PUNCT
cana-1998	190	3	~	~	NOUN
cana-1998	190	4	)	)	PUNCT
cana-1998	190	5	,	,	PUNCT
cana-1998	190	6	ν̂υi(ð	ν̂υi(ð	PROPN
cana-1998	190	7	)	)	PUNCT
cana-1998	190	8	·	·	PUNCT
cana-1998	191	1	ei2πγ̂υi	ei2πγ̂υi	PROPN
cana-1998	191	2	(	(	PUNCT
cana-1998	191	3	ð	ð	X
cana-1998	191	4	)	)	PUNCT
cana-1998	191	5	}	}	PUNCT
cana-1998	191	6	=	=	SYM
cana-1998	191	7	max	max	NOUN
cana-1998	191	8	{	{	PUNCT
cana-1998	191	9	sup	sup	PROPN
cana-1998	191	10	i∈i	i∈i	ADJ
cana-1998	191	11	ν̂υi(~	ν̂υi(~	VERB
cana-1998	191	12	)	)	PUNCT
cana-1998	191	13	·	·	PUNCT
cana-1998	192	1	ei2πγ̂υi	ei2πγ̂υi	PROPN
cana-1998	192	2	(	(	PUNCT
cana-1998	192	3	~	~	NOUN
cana-1998	192	4	)	)	PUNCT
cana-1998	192	5	,	,	PUNCT
cana-1998	192	6	sup	sup	NOUN
cana-1998	192	7	i∈i	i∈i	ADJ
cana-1998	192	8	ν̂υi(ð	ν̂υi(ð	PROPN
cana-1998	192	9	)	)	PUNCT
cana-1998	192	10	·	·	PUNCT
cana-1998	193	1	ei2πγ̂υi	ei2πγ̂υi	PROPN
cana-1998	193	2	(	(	PUNCT
cana-1998	193	3	ð	ð	X
cana-1998	193	4	)	)	PUNCT
cana-1998	193	5	}	}	PUNCT
cana-1998	193	6	=	=	SYM
cana-1998	193	7	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	193	8	)	)	PUNCT
cana-1998	193	9	·	·	PUNCT
cana-1998	194	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	194	2	)	)	PUNCT
cana-1998	194	3	,	,	PUNCT
cana-1998	194	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	194	5	)	)	PUNCT
cana-1998	194	6	·	·	PUNCT
cana-1998	194	7	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	194	8	)	)	PUNCT
cana-1998	194	9	}	}	PUNCT
cana-1998	194	10	similarly	similarly	ADV
cana-1998	194	11	,	,	PUNCT
cana-1998	194	12	ν̂z((~	ν̂z((~	NOUN
cana-1998	194	13	�	�	SYM
cana-1998	194	14	2	2	NUM
cana-1998	194	15	ð	ð	NUM
cana-1998	194	16	)	)	PUNCT
cana-1998	194	17	)	)	PUNCT
cana-1998	194	18	·	·	PUNCT
cana-1998	194	19	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	194	20	�	�	NOUN
cana-1998	194	21	2ð	2ð	NUM
cana-1998	194	22	)	)	PUNCT
cana-1998	194	23	)	)	PUNCT
cana-1998	194	24	�	�	PROPN
cana-1998	194	25	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	194	26	)	)	PUNCT
cana-1998	194	27	·	·	PUNCT
cana-1998	195	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	195	2	)	)	PUNCT
cana-1998	195	3	,	,	PUNCT
cana-1998	195	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	195	5	)	)	PUNCT
cana-1998	195	6	·	·	PUNCT
cana-1998	195	7	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	195	8	)	)	PUNCT
cana-1998	195	9	}	}	PUNCT
cana-1998	195	10	and	and	CCONJ
cana-1998	195	11	ν̂z((~	ν̂z((~	NUM
cana-1998	195	12	�	�	NOUN
cana-1998	195	13	3	3	NUM
cana-1998	195	14	ð	ð	NUM
cana-1998	195	15	)	)	PUNCT
cana-1998	195	16	)	)	PUNCT
cana-1998	195	17	·	·	PUNCT
cana-1998	195	18	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	195	19	�	�	NOUN
cana-1998	195	20	3ð	3ð	NUM
cana-1998	195	21	)	)	PUNCT
cana-1998	195	22	)	)	PUNCT
cana-1998	195	23	�	�	PROPN
cana-1998	195	24	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	195	25	)	)	PUNCT
cana-1998	195	26	·	·	PUNCT
cana-1998	196	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	196	2	)	)	PUNCT
cana-1998	196	3	,	,	PUNCT
cana-1998	196	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	196	5	)	)	PUNCT
cana-1998	196	6	·	·	PUNCT
cana-1998	197	1	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	197	2	)	)	PUNCT
cana-1998	197	3	}	}	PUNCT
cana-1998	197	4	.	.	PUNCT
cana-1998	198	1	let	let	VERB
cana-1998	198	2	{	{	PUNCT
cana-1998	198	3	υi	υi	NOUN
cana-1998	198	4	:	:	PUNCT
cana-1998	198	5	i	i	PRON
cana-1998	198	6	∈	∈	PROPN
cana-1998	199	1	i	i	PRON
cana-1998	199	2	}	}	PUNCT
cana-1998	199	3	be	be	VERB
cana-1998	199	4	the	the	DET
cana-1998	199	5	family	family	NOUN
cana-1998	199	6	of	of	ADP
cana-1998	199	7	comcifsbss	comcifsbss	NOUN
cana-1998	199	8	of	of	ADP
cana-1998	199	9	b	b	NOUN
cana-1998	199	10	and	and	CCONJ
cana-1998	199	11	z	z	NOUN
cana-1998	199	12	=	=	SYM
cana-1998	199	13	⋂	⋂	PROPN
cana-1998	199	14	i∈i	i∈i	ADJ
cana-1998	199	15	υi	υi	PROPN
cana-1998	199	16	.	.	PUNCT
cana-1998	200	1	let	let	VERB
cana-1998	200	2	~,ð	~,ð	ADJ
cana-1998	200	3	∈	∈	PROPN
cana-1998	200	4	b.	b.	PROPN
cana-1998	200	5	now	now	ADV
cana-1998	200	6	,	,	PUNCT
cana-1998	200	7	µz((~	µz((~	X
cana-1998	200	8	�	�	X
cana-1998	200	9	1	1	NUM
cana-1998	200	10	ð	ð	NUM
cana-1998	200	11	)	)	PUNCT
cana-1998	200	12	)	)	PUNCT
cana-1998	200	13	·	·	PUNCT
cana-1998	201	1	ei2πβz((~	ei2πβz((~	X
cana-1998	201	2	�	�	NOUN
cana-1998	201	3	1ð	1ð	NUM
cana-1998	201	4	)	)	PUNCT
cana-1998	201	5	)	)	PUNCT
cana-1998	202	1	=	=	PUNCT
cana-1998	202	2	inf	inf	PROPN
cana-1998	202	3	i∈i	i∈i	ADJ
cana-1998	202	4	µυi((~	µυi((~	NOUN
cana-1998	202	5	�	�	X
cana-1998	202	6	1	1	NUM
cana-1998	202	7	ð	ð	NUM
cana-1998	202	8	)	)	PUNCT
cana-1998	202	9	)	)	PUNCT
cana-1998	202	10	·	·	PUNCT
cana-1998	203	1	ei2πβz((~	ei2πβz((~	X
cana-1998	203	2	�	�	NOUN
cana-1998	203	3	1ð	1ð	NUM
cana-1998	203	4	)	)	PUNCT
cana-1998	203	5	)	)	PUNCT
cana-1998	203	6	�	�	PROPN
cana-1998	203	7	inf	inf	PROPN
cana-1998	203	8	i∈i	i∈i	PROPN
cana-1998	203	9	min{µυi(~	min{µυi(~	PROPN
cana-1998	203	10	)	)	PUNCT
cana-1998	203	11	·	·	PUNCT
cana-1998	203	12	ei2πβυi	ei2πβυi	PUNCT
cana-1998	204	1	(	(	PUNCT
cana-1998	204	2	~	~	NOUN
cana-1998	204	3	)	)	PUNCT
cana-1998	204	4	,	,	PUNCT
cana-1998	204	5	µυi(ð	µυi(ð	PROPN
cana-1998	204	6	)	)	PUNCT
cana-1998	204	7	·	·	PUNCT
cana-1998	204	8	ei2πβυi	ei2πβυi	PUNCT
cana-1998	205	1	(	(	PUNCT
cana-1998	205	2	ð	ð	X
cana-1998	205	3	)	)	PUNCT
cana-1998	205	4	}	}	PUNCT
cana-1998	205	5	=	=	SYM
cana-1998	205	6	min	min	PROPN
cana-1998	205	7	{	{	PUNCT
cana-1998	205	8	inf	inf	PROPN
cana-1998	205	9	i∈i	i∈i	ADJ
cana-1998	205	10	µυi(~	µυi(~	NOUN
cana-1998	205	11	)	)	PUNCT
cana-1998	205	12	·	·	PUNCT
cana-1998	205	13	ei2πβυi	ei2πβυi	PUNCT
cana-1998	206	1	(	(	PUNCT
cana-1998	206	2	~	~	NOUN
cana-1998	206	3	)	)	PUNCT
cana-1998	206	4	,	,	PUNCT
cana-1998	206	5	inf	inf	PROPN
cana-1998	206	6	i∈i	i∈i	ADJ
cana-1998	206	7	µυi(ð	µυi(ð	PROPN
cana-1998	206	8	)	)	PUNCT
cana-1998	206	9	·	·	PUNCT
cana-1998	206	10	ei2πβυi	ei2πβυi	PUNCT
cana-1998	207	1	(	(	PUNCT
cana-1998	207	2	ð	ð	X
cana-1998	207	3	)	)	PUNCT
cana-1998	207	4	}	}	PUNCT
cana-1998	207	5	=	=	PUNCT
cana-1998	207	6	min{µz(~	min{µz(~	ADJ
cana-1998	207	7	)	)	PUNCT
cana-1998	207	8	·	·	PUNCT
cana-1998	207	9	ei2πβz(~	ei2πβz(~	ADV
cana-1998	207	10	)	)	PUNCT
cana-1998	207	11	,	,	PUNCT
cana-1998	207	12	µz(ð	µz(ð	PUNCT
cana-1998	207	13	)	)	PUNCT
cana-1998	207	14	·	·	PUNCT
cana-1998	208	1	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	208	2	)	)	PUNCT
cana-1998	208	3	}	}	PUNCT
cana-1998	208	4	similarly	similarly	ADV
cana-1998	208	5	,	,	PUNCT
cana-1998	208	6	µz((~	µz((~	X
cana-1998	208	7	�	�	X
cana-1998	208	8	2	2	NUM
cana-1998	208	9	ð	ð	NUM
cana-1998	208	10	)	)	PUNCT
cana-1998	208	11	)	)	PUNCT
cana-1998	208	12	·	·	PUNCT
cana-1998	209	1	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	209	2	�	�	NOUN
cana-1998	209	3	2ð	2ð	NUM
cana-1998	209	4	)	)	PUNCT
cana-1998	209	5	)	)	PUNCT
cana-1998	209	6	�	�	PROPN
cana-1998	209	7	min{µz(~	min{µz(~	PROPN
cana-1998	209	8	)	)	PUNCT
cana-1998	209	9	·	·	PUNCT
cana-1998	209	10	ei2πβz(~	ei2πβz(~	ADV
cana-1998	209	11	)	)	PUNCT
cana-1998	209	12	,	,	PUNCT
cana-1998	209	13	µz(ð	µz(ð	PUNCT
cana-1998	209	14	)	)	PUNCT
cana-1998	209	15	·	·	PUNCT
cana-1998	209	16	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	209	17	)	)	PUNCT
cana-1998	209	18	}	}	PUNCT
cana-1998	209	19	,	,	PUNCT
cana-1998	209	20	µz((~	µz((~	X
cana-1998	209	21	�	�	X
cana-1998	209	22	3	3	NUM
cana-1998	209	23	ð	ð	NUM
cana-1998	209	24	)	)	PUNCT
cana-1998	209	25	)	)	PUNCT
cana-1998	210	1	·	·	PUNCT
cana-1998	211	1	ei2πβz((~	ei2πβz((~	X
cana-1998	211	2	�	�	NOUN
cana-1998	211	3	3ð	3ð	NUM
cana-1998	211	4	)	)	PUNCT
cana-1998	211	5	)	)	PUNCT
cana-1998	211	6	�	�	PROPN
cana-1998	211	7	min{µz(~	min{µz(~	PROPN
cana-1998	211	8	)	)	PUNCT
cana-1998	211	9	·	·	PUNCT
cana-1998	211	10	ei2πβz(~	ei2πβz(~	ADV
cana-1998	211	11	)	)	PUNCT
cana-1998	211	12	,	,	PUNCT
cana-1998	211	13	µz(ð	µz(ð	PUNCT
cana-1998	211	14	)	)	PUNCT
cana-1998	211	15	·	·	PUNCT
cana-1998	211	16	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	211	17	)	)	PUNCT
cana-1998	211	18	}	}	PUNCT
cana-1998	211	19	.	.	PUNCT
cana-1998	212	1	now	now	ADV
cana-1998	212	2	,	,	PUNCT
cana-1998	212	3	νz((~	νz((~	X
cana-1998	212	4	�	�	X
cana-1998	212	5	1	1	NUM
cana-1998	212	6	ð	ð	NUM
cana-1998	212	7	)	)	PUNCT
cana-1998	212	8	)	)	PUNCT
cana-1998	212	9	·	·	PUNCT
cana-1998	213	1	ei2πγz((~	ei2πγz((~	X
cana-1998	213	2	�	�	NOUN
cana-1998	213	3	1ð	1ð	NUM
cana-1998	213	4	)	)	PUNCT
cana-1998	213	5	)	)	PUNCT
cana-1998	214	1	=	=	PUNCT
cana-1998	214	2	sup	sup	NOUN
cana-1998	214	3	i∈i	i∈i	ADJ
cana-1998	214	4	νυi((~	νυi((~	PROPN
cana-1998	214	5	�	�	PROPN
cana-1998	214	6	1	1	NUM
cana-1998	214	7	ð	ð	NUM
cana-1998	214	8	)	)	PUNCT
cana-1998	214	9	)	)	PUNCT
cana-1998	214	10	·	·	PUNCT
cana-1998	215	1	ei2πγz((~	ei2πγz((~	X
cana-1998	215	2	�	�	NOUN
cana-1998	215	3	1ð	1ð	NUM
cana-1998	215	4	)	)	PUNCT
cana-1998	215	5	)	)	PUNCT
cana-1998	215	6	�	�	PROPN
cana-1998	215	7	sup	sup	PROPN
cana-1998	215	8	i∈i	i∈i	PROPN
cana-1998	215	9	max{νυi(~	max{νυi(~	PROPN
cana-1998	215	10	)	)	PUNCT
cana-1998	215	11	·	·	PUNCT
cana-1998	215	12	ei2πγυi	ei2πγυi	NOUN
cana-1998	215	13	(	(	PUNCT
cana-1998	215	14	~	~	NOUN
cana-1998	215	15	)	)	PUNCT
cana-1998	215	16	,	,	PUNCT
cana-1998	215	17	νυi(ð	νυi(ð	PROPN
cana-1998	215	18	)	)	PUNCT
cana-1998	215	19	·	·	PUNCT
cana-1998	215	20	ei2πγυi	ei2πγυi	NOUN
cana-1998	215	21	(	(	PUNCT
cana-1998	215	22	ð	ð	X
cana-1998	215	23	)	)	PUNCT
cana-1998	215	24	}	}	PUNCT
cana-1998	215	25	=	=	SYM
cana-1998	215	26	max	max	NOUN
cana-1998	215	27	{	{	PUNCT
cana-1998	215	28	sup	sup	PROPN
cana-1998	215	29	i∈i	i∈i	PROPN
cana-1998	215	30	νυi(~	νυi(~	PROPN
cana-1998	215	31	)	)	PUNCT
cana-1998	215	32	·	·	PUNCT
cana-1998	215	33	ei2πγυi	ei2πγυi	NOUN
cana-1998	215	34	(	(	PUNCT
cana-1998	215	35	~	~	NOUN
cana-1998	215	36	)	)	PUNCT
cana-1998	215	37	,	,	PUNCT
cana-1998	215	38	sup	sup	NOUN
cana-1998	215	39	i∈i	i∈i	ADJ
cana-1998	215	40	νυi(ð	νυi(ð	PROPN
cana-1998	215	41	)	)	PUNCT
cana-1998	215	42	·	·	PUNCT
cana-1998	215	43	ei2πγυi	ei2πγυi	NOUN
cana-1998	215	44	(	(	PUNCT
cana-1998	215	45	ð	ð	X
cana-1998	215	46	)	)	PUNCT
cana-1998	215	47	}	}	PUNCT
cana-1998	215	48	=	=	SYM
cana-1998	215	49	max{νz(~	max{νz(~	X
cana-1998	215	50	)	)	PUNCT
cana-1998	215	51	·	·	PUNCT
cana-1998	215	52	ei2πγz(~	ei2πγz(~	ADV
cana-1998	215	53	)	)	PUNCT
cana-1998	215	54	,	,	PUNCT
cana-1998	215	55	νz(ð	νz(ð	X
cana-1998	215	56	)	)	PUNCT
cana-1998	215	57	·	·	PUNCT
cana-1998	216	1	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	216	2	)	)	PUNCT
cana-1998	216	3	}	}	PUNCT
cana-1998	216	4	similarly	similarly	ADV
cana-1998	216	5	,	,	PUNCT
cana-1998	216	6	νz((~	νz((~	X
cana-1998	216	7	�	�	X
cana-1998	216	8	2	2	NUM
cana-1998	216	9	ð	ð	NUM
cana-1998	216	10	)	)	PUNCT
cana-1998	216	11	)	)	PUNCT
cana-1998	216	12	·	·	PUNCT
cana-1998	217	1	ei2πγz((~	ei2πγz((~	NOUN
cana-1998	217	2	�	�	X
cana-1998	217	3	2ð	2ð	NUM
cana-1998	217	4	)	)	PUNCT
cana-1998	217	5	)	)	PUNCT
cana-1998	217	6	�	�	PROPN
cana-1998	217	7	max{νz(~	max{νz(~	PROPN
cana-1998	217	8	)	)	PUNCT
cana-1998	217	9	·	·	PUNCT
cana-1998	217	10	ei2πγz(~	ei2πγz(~	ADV
cana-1998	217	11	)	)	PUNCT
cana-1998	217	12	,	,	PUNCT
cana-1998	217	13	νz(ð	νz(ð	X
cana-1998	217	14	)	)	PUNCT
cana-1998	217	15	·	·	PUNCT
cana-1998	217	16	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	217	17	)	)	PUNCT
cana-1998	217	18	}	}	PUNCT
cana-1998	217	19	and	and	CCONJ
cana-1998	217	20	νz((~	νz((~	NOUN
cana-1998	217	21	�	�	X
cana-1998	217	22	3	3	NUM
cana-1998	217	23	ð	ð	NUM
cana-1998	217	24	)	)	PUNCT
cana-1998	217	25	)	)	PUNCT
cana-1998	217	26	·	·	PUNCT
cana-1998	218	1	ei2πγz((~	ei2πγz((~	X
cana-1998	218	2	�	�	NOUN
cana-1998	218	3	3ð	3ð	NUM
cana-1998	218	4	)	)	PUNCT
cana-1998	218	5	)	)	PUNCT
cana-1998	218	6	�	�	PROPN
cana-1998	218	7	max{νz(~	max{νz(~	PROPN
cana-1998	218	8	)	)	PUNCT
cana-1998	218	9	·	·	PUNCT
cana-1998	218	10	ei2πγz(~	ei2πγz(~	ADV
cana-1998	218	11	)	)	PUNCT
cana-1998	218	12	,	,	PUNCT
cana-1998	218	13	νz(ð	νz(ð	X
cana-1998	218	14	)	)	PUNCT
cana-1998	218	15	·	·	PUNCT
cana-1998	218	16	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	218	17	)	)	PUNCT
cana-1998	218	18	}	}	PUNCT
cana-1998	218	19	.	.	PUNCT
cana-1998	219	1	thus	thus	ADV
cana-1998	219	2	,	,	PUNCT
cana-1998	219	3	z	z	PROPN
cana-1998	219	4	is	be	AUX
cana-1998	219	5	a	a	DET
cana-1998	219	6	comcifsbs	comcifsbs	NOUN
cana-1998	219	7	of	of	ADP
cana-1998	219	8	b.	b.	PROPN
cana-1998	219	9	theorem	theorem	PROPN
cana-1998	219	10	3.8	3.8	NUM
cana-1998	219	11	.	.	PUNCT
cana-1998	220	1	if	if	SCONJ
cana-1998	220	2	z	z	PROPN
cana-1998	220	3	and	and	CCONJ
cana-1998	220	4	k	k	PROPN
cana-1998	220	5	be	be	AUX
cana-1998	220	6	the	the	DET
cana-1998	220	7	comcifsbss	comcifsbss	NOUN
cana-1998	220	8	of	of	ADP
cana-1998	220	9	b1	b1	NOUN
cana-1998	220	10	and	and	CCONJ
cana-1998	220	11	b2	b2	NOUN
cana-1998	220	12	respectively	respectively	ADV
cana-1998	220	13	,	,	PUNCT
cana-1998	220	14	then	then	ADV
cana-1998	220	15	ẑ	ẑ	PROPN
cana-1998	220	16	×	×	PROPN
cana-1998	220	17	kis	kis	PROPN
cana-1998	220	18	a	a	DET
cana-1998	220	19	comcifsbs	comcifsbs	NOUN
cana-1998	220	20	of	of	ADP
cana-1998	220	21	b1	b1	NOUN
cana-1998	220	22	×b2	×b2	NOUN
cana-1998	220	23	.	.	PUNCT
cana-1998	221	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	221	2	423	423	NUM
cana-1998	221	3	communications	communication	NOUN
cana-1998	221	4	on	on	ADP
cana-1998	221	5	applied	apply	VERB
cana-1998	221	6	nonlinear	nonlinear	ADJ
cana-1998	221	7	analysis	analysis	NOUN
cana-1998	221	8	issn	issn	NOUN
cana-1998	221	9	:	:	PUNCT
cana-1998	221	10	1074	1074	NUM
cana-1998	221	11	-	-	PUNCT
cana-1998	221	12	133x	133x	NUM
cana-1998	221	13	vol	vol	NOUN
cana-1998	221	14	32	32	NUM
cana-1998	221	15	no	no	NOUN
cana-1998	221	16	.	.	NOUN
cana-1998	221	17	3	3	NUM
cana-1998	221	18	(	(	PUNCT
cana-1998	221	19	2025	2025	NUM
cana-1998	221	20	)	)	PUNCT
cana-1998	221	21	proof	proof	NOUN
cana-1998	221	22	.	.	PUNCT
cana-1998	222	1	let	let	VERB
cana-1998	222	2	~1	~1	NOUN
cana-1998	222	3	,	,	PUNCT
cana-1998	222	4	~2	~2	NOUN
cana-1998	222	5	∈	∈	PROPN
cana-1998	222	6	b1	b1	NOUN
cana-1998	222	7	and	and	CCONJ
cana-1998	222	8	ð1,ð2	ð1,ð2	PROPN
cana-1998	222	9	∈	∈	PROPN
cana-1998	222	10	b2	b2	NOUN
cana-1998	222	11	.	.	PUNCT
cana-1998	223	1	then	then	ADV
cana-1998	223	2	(	(	PUNCT
cana-1998	223	3	~1,ð1	~1,ð1	NOUN
cana-1998	223	4	)	)	PUNCT
cana-1998	223	5	and	and	CCONJ
cana-1998	223	6	(	(	PUNCT
cana-1998	223	7	~2,ð2	~2,ð2	NOUN
cana-1998	223	8	)	)	PUNCT
cana-1998	223	9	are	be	AUX
cana-1998	223	10	in	in	ADP
cana-1998	223	11	b1	b1	NOUN
cana-1998	223	12	×b2	×b2	NOUN
cana-1998	223	13	.	.	PUNCT
cana-1998	224	1	now	now	ADV
cana-1998	224	2	µ̂z×k[((~1,ð1)	µ̂z×k[((~1,ð1)	PROPN
cana-1998	224	3	�	�	PROPN
cana-1998	224	4	1	1	NUM
cana-1998	224	5	(	(	PUNCT
cana-1998	224	6	~2,ð2	~2,ð2	NUM
cana-1998	224	7	)	)	PUNCT
cana-1998	224	8	)	)	PUNCT
cana-1998	224	9	]	]	PUNCT
cana-1998	224	10	·	·	PUNCT
cana-1998	225	1	ei2πβ̂z×k[((~1,ð1)	ei2πβ̂z×k[((~1,ð1)	PROPN
cana-1998	225	2	�	�	PROPN
cana-1998	225	3	1(~2,ð2	1(~2,ð2	NUM
cana-1998	225	4	)	)	PUNCT
cana-1998	225	5	)	)	PUNCT
cana-1998	225	6	]	]	PUNCT
cana-1998	225	7	=	=	PUNCT
cana-1998	225	8	µ̂z×k((~1	µ̂z×k((~1	VERB
cana-1998	225	9	�	�	PROPN
cana-1998	225	10	1	1	NUM
cana-1998	225	11	~2,ð1	~2,ð1	NOUN
cana-1998	225	12	�	�	X
cana-1998	225	13	1	1	NUM
cana-1998	225	14	ð2	ð2	NOUN
cana-1998	225	15	)	)	PUNCT
cana-1998	225	16	)	)	PUNCT
cana-1998	225	17	·	·	PUNCT
cana-1998	225	18	ei2πβ̂z×k((~1	ei2πβ̂z×k((~1	PROPN
cana-1998	225	19	�	�	PROPN
cana-1998	225	20	1~2,ð1	1~2,ð1	NOUN
cana-1998	225	21	�	�	NOUN
cana-1998	225	22	1ð2	1ð2	NUM
cana-1998	225	23	)	)	PUNCT
cana-1998	225	24	)	)	PUNCT
cana-1998	226	1	=	=	PUNCT
cana-1998	226	2	min{µ̂z((~1	min{µ̂z((~1	NUM
cana-1998	226	3	�	�	NOUN
cana-1998	226	4	1	1	NUM
cana-1998	226	5	~2	~2	NOUN
cana-1998	226	6	)	)	PUNCT
cana-1998	226	7	)	)	PUNCT
cana-1998	227	1	·	·	PUNCT
cana-1998	227	2	ei2πβ̂z((~1	ei2πβ̂z((~1	ADJ
cana-1998	227	3	�	�	PROPN
cana-1998	227	4	1~2	1~2	NUM
cana-1998	227	5	)	)	PUNCT
cana-1998	227	6	)	)	PUNCT
cana-1998	227	7	,	,	PUNCT
cana-1998	227	8	µ̂k((ð1	µ̂k((ð1	PROPN
cana-1998	227	9	�	�	NOUN
cana-1998	227	10	1	1	NUM
cana-1998	227	11	ð2	ð2	NOUN
cana-1998	227	12	)	)	PUNCT
cana-1998	227	13	)	)	PUNCT
cana-1998	227	14	·	·	PUNCT
cana-1998	227	15	ei2πβ̂k((ð1	ei2πβ̂k((ð1	PROPN
cana-1998	227	16	�	�	PROPN
cana-1998	227	17	1ð2	1ð2	NUM
cana-1998	227	18	)	)	PUNCT
cana-1998	227	19	)	)	PUNCT
cana-1998	227	20	}	}	PUNCT
cana-1998	227	21	�	�	PROPN
cana-1998	227	22	min{min{µ̂z(~1	min{min{µ̂z(~1	PROPN
cana-1998	227	23	)	)	PUNCT
cana-1998	227	24	·	·	PUNCT
cana-1998	227	25	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	227	26	)	)	PUNCT
cana-1998	227	27	,	,	PUNCT
cana-1998	227	28	µ̂z(~2	µ̂z(~2	NUM
cana-1998	227	29	)	)	PUNCT
cana-1998	227	30	·	·	PUNCT
cana-1998	227	31	ei2πβ̂z(~2)},min{µ̂k(ð1	ei2πβ̂z(~2)},min{µ̂k(ð1	PROPN
cana-1998	227	32	)	)	PUNCT
cana-1998	227	33	·	·	PUNCT
cana-1998	228	1	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	228	2	)	)	PUNCT
cana-1998	228	3	,	,	PUNCT
cana-1998	228	4	µ̂k(ð2	µ̂k(ð2	PROPN
cana-1998	228	5	)	)	PUNCT
cana-1998	228	6	·	·	PUNCT
cana-1998	228	7	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	228	8	)	)	PUNCT
cana-1998	228	9	}	}	PUNCT
cana-1998	228	10	}	}	PUNCT
cana-1998	228	11	=	=	SYM
cana-1998	228	12	min{min{µ̂z(~1	min{min{µ̂z(~1	NOUN
cana-1998	228	13	)	)	PUNCT
cana-1998	228	14	·	·	PUNCT
cana-1998	229	1	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	229	2	)	)	PUNCT
cana-1998	229	3	,	,	PUNCT
cana-1998	229	4	µ̂k(ð1	µ̂k(ð1	PROPN
cana-1998	229	5	)	)	PUNCT
cana-1998	229	6	·	·	PUNCT
cana-1998	229	7	ei2πβ̂z(ð1)},min{µ̂z(~2	ei2πβ̂z(ð1)},min{µ̂z(~2	NOUN
cana-1998	229	8	)	)	PUNCT
cana-1998	229	9	·	·	PUNCT
cana-1998	229	10	ei2πβ̂z(~2	ei2πβ̂z(~2	NUM
cana-1998	229	11	)	)	PUNCT
cana-1998	229	12	,	,	PUNCT
cana-1998	229	13	µ̂k(ð2	µ̂k(ð2	PROPN
cana-1998	229	14	)	)	PUNCT
cana-1998	229	15	·	·	PUNCT
cana-1998	229	16	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	229	17	)	)	PUNCT
cana-1998	229	18	}	}	PUNCT
cana-1998	229	19	}	}	PUNCT
cana-1998	229	20	=	=	SYM
cana-1998	229	21	min{µ̂z×k((~1,ð1	min{µ̂z×k((~1,ð1	NOUN
cana-1998	229	22	)	)	PUNCT
cana-1998	229	23	)	)	PUNCT
cana-1998	229	24	·	·	PUNCT
cana-1998	229	25	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	229	26	)	)	PUNCT
cana-1998	229	27	)	)	PUNCT
cana-1998	229	28	,	,	PUNCT
cana-1998	229	29	µ̂z×k((~2	µ̂z×k((~2	NOUN
cana-1998	229	30	,	,	PUNCT
cana-1998	229	31	ð2	ð2	NOUN
cana-1998	229	32	)	)	PUNCT
cana-1998	229	33	)	)	PUNCT
cana-1998	229	34	·	·	PUNCT
cana-1998	230	1	ei2πβ̂z×k((~2,ð2	ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	230	2	)	)	PUNCT
cana-1998	230	3	)	)	PUNCT
cana-1998	230	4	}	}	PUNCT
cana-1998	230	5	also	also	ADV
cana-1998	230	6	µ̂z×k[((~1,ð1)	µ̂z×k[((~1,ð1)	PROPN
cana-1998	230	7	�	�	SYM
cana-1998	230	8	2	2	NUM
cana-1998	230	9	(	(	PUNCT
cana-1998	230	10	~2,ð2	~2,ð2	NUM
cana-1998	230	11	)	)	PUNCT
cana-1998	230	12	)	)	PUNCT
cana-1998	230	13	]	]	PUNCT
cana-1998	230	14	·	·	PUNCT
cana-1998	231	1	ei2πβ̂z×k[((~1,ð1)	ei2πβ̂z×k[((~1,ð1)	PROPN
cana-1998	231	2	�	�	PROPN
cana-1998	231	3	2(~2,ð2	2(~2,ð2	NUM
cana-1998	231	4	)	)	PUNCT
cana-1998	231	5	)	)	PUNCT
cana-1998	231	6	]	]	PUNCT
cana-1998	231	7	�	�	PROPN
cana-1998	231	8	min{µ̂z×k((~1	min{µ̂z×k((~1	PROPN
cana-1998	231	9	,	,	PUNCT
cana-1998	231	10	ð1	ð1	NOUN
cana-1998	231	11	)	)	PUNCT
cana-1998	231	12	)	)	PUNCT
cana-1998	231	13	·	·	PUNCT
cana-1998	231	14	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	231	15	)	)	PUNCT
cana-1998	231	16	)	)	PUNCT
cana-1998	231	17	,	,	PUNCT
cana-1998	231	18	µ̂z×k((~2,ð2))ei2πβ̂z×k((~2,ð2	µ̂z×k((~2,ð2))ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	231	19	)	)	PUNCT
cana-1998	231	20	)	)	PUNCT
cana-1998	231	21	}	}	PUNCT
cana-1998	231	22	and	and	CCONJ
cana-1998	231	23	µ̂z×k[((~1,ð1)	µ̂z×k[((~1,ð1)	PROPN
cana-1998	231	24	�	�	PROPN
cana-1998	231	25	3	3	NUM
cana-1998	231	26	(	(	PUNCT
cana-1998	231	27	~2,ð2	~2,ð2	NUM
cana-1998	231	28	)	)	PUNCT
cana-1998	231	29	)	)	PUNCT
cana-1998	231	30	]	]	PUNCT
cana-1998	231	31	·	·	PUNCT
cana-1998	231	32	ei2πβ̂z×k[((~1,ð1)	ei2πβ̂z×k[((~1,ð1)	PROPN
cana-1998	231	33	�	�	PROPN
cana-1998	231	34	3(~2,ð2	3(~2,ð2	NUM
cana-1998	231	35	)	)	PUNCT
cana-1998	231	36	)	)	PUNCT
cana-1998	231	37	]	]	PUNCT
cana-1998	231	38	�	�	PROPN
cana-1998	231	39	min{µ̂z×k((~1	min{µ̂z×k((~1	PROPN
cana-1998	231	40	,	,	PUNCT
cana-1998	231	41	ð1	ð1	NOUN
cana-1998	231	42	)	)	PUNCT
cana-1998	231	43	)	)	PUNCT
cana-1998	231	44	·	·	PUNCT
cana-1998	231	45	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	231	46	)	)	PUNCT
cana-1998	231	47	)	)	PUNCT
cana-1998	231	48	,	,	PUNCT
cana-1998	231	49	µ̂z×k((~2,ð2	µ̂z×k((~2,ð2	NOUN
cana-1998	231	50	)	)	PUNCT
cana-1998	231	51	)	)	PUNCT
cana-1998	231	52	·	·	PUNCT
cana-1998	231	53	ei2πβ̂z×k((~2,ð2	ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	231	54	)	)	PUNCT
cana-1998	231	55	)	)	PUNCT
cana-1998	231	56	}	}	PUNCT
cana-1998	231	57	.	.	PUNCT
cana-1998	232	1	now	now	ADV
cana-1998	232	2	,	,	PUNCT
cana-1998	232	3	ν̂z×k[((~1,ð1)	ν̂z×k[((~1,ð1)	PROPN
cana-1998	232	4	�	�	NOUN
cana-1998	232	5	1	1	NUM
cana-1998	232	6	(	(	PUNCT
cana-1998	232	7	~2,ð2	~2,ð2	NUM
cana-1998	232	8	)	)	PUNCT
cana-1998	232	9	)	)	PUNCT
cana-1998	232	10	]	]	PUNCT
cana-1998	232	11	·	·	PUNCT
cana-1998	232	12	ei2πγ̂z×k[((~1,ð1)	ei2πγ̂z×k[((~1,ð1)	PROPN
cana-1998	232	13	�	�	PROPN
cana-1998	232	14	1(~2,ð2	1(~2,ð2	NUM
cana-1998	232	15	)	)	PUNCT
cana-1998	232	16	)	)	PUNCT
cana-1998	232	17	]	]	PUNCT
cana-1998	233	1	=	=	PROPN
cana-1998	233	2	ν̂z×k((~1	ν̂z×k((~1	NUM
cana-1998	233	3	�	�	PROPN
cana-1998	233	4	1	1	NUM
cana-1998	233	5	~2,ð1	~2,ð1	NOUN
cana-1998	233	6	�	�	X
cana-1998	233	7	1	1	NUM
cana-1998	233	8	ð2	ð2	NOUN
cana-1998	233	9	)	)	PUNCT
cana-1998	233	10	)	)	PUNCT
cana-1998	233	11	·	·	PUNCT
cana-1998	233	12	ei2πγ̂z×k((~1	ei2πγ̂z×k((~1	NOUN
cana-1998	233	13	�	�	PROPN
cana-1998	233	14	1~2,ð1	1~2,ð1	NOUN
cana-1998	233	15	�	�	NOUN
cana-1998	233	16	1ð2	1ð2	NUM
cana-1998	233	17	)	)	PUNCT
cana-1998	233	18	)	)	PUNCT
cana-1998	234	1	=	=	PUNCT
cana-1998	234	2	max{ν̂z((~1	max{ν̂z((~1	NUM
cana-1998	234	3	�	�	PROPN
cana-1998	234	4	1	1	NUM
cana-1998	234	5	~2	~2	NOUN
cana-1998	234	6	)	)	PUNCT
cana-1998	234	7	)	)	PUNCT
cana-1998	235	1	·	·	PUNCT
cana-1998	235	2	ei2πγ̂z×k((~1	ei2πγ̂z×k((~1	NOUN
cana-1998	235	3	�	�	NOUN
cana-1998	235	4	1~2	1~2	NUM
cana-1998	235	5	)	)	PUNCT
cana-1998	235	6	)	)	PUNCT
cana-1998	235	7	,	,	PUNCT
cana-1998	235	8	ν̂k((ð1	ν̂k((ð1	NOUN
cana-1998	235	9	�	�	PROPN
cana-1998	235	10	1	1	NUM
cana-1998	235	11	ð2	ð2	NOUN
cana-1998	235	12	)	)	PUNCT
cana-1998	235	13	)	)	PUNCT
cana-1998	235	14	·	·	PUNCT
cana-1998	235	15	ei2πγ̂z×k((ð1	ei2πγ̂z×k((ð1	NOUN
cana-1998	235	16	�	�	PROPN
cana-1998	235	17	1ð2	1ð2	NUM
cana-1998	235	18	)	)	PUNCT
cana-1998	235	19	)	)	PUNCT
cana-1998	235	20	}	}	PUNCT
cana-1998	235	21	�	�	PROPN
cana-1998	235	22	max{max{ν̂z(~1	max{max{ν̂z(~1	NOUN
cana-1998	235	23	)	)	PUNCT
cana-1998	235	24	·	·	PUNCT
cana-1998	235	25	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	235	26	)	)	PUNCT
cana-1998	235	27	,	,	PUNCT
cana-1998	235	28	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	235	29	)	)	PUNCT
cana-1998	235	30	·	·	PUNCT
cana-1998	235	31	ei2πγ̂z(~2)},max{ν̂k(ð1	ei2πγ̂z(~2)},max{ν̂k(ð1	NUM
cana-1998	235	32	)	)	PUNCT
cana-1998	235	33	·	·	PUNCT
cana-1998	235	34	ei2πγ̂k(ð1	ei2πγ̂k(ð1	PROPN
cana-1998	235	35	)	)	PUNCT
cana-1998	235	36	,	,	PUNCT
cana-1998	235	37	ν̂k(ð2	ν̂k(ð2	PROPN
cana-1998	235	38	)	)	PUNCT
cana-1998	235	39	·	·	PUNCT
cana-1998	236	1	ei2πγ̂k(ð2	ei2πγ̂k(ð2	X
cana-1998	236	2	)	)	PUNCT
cana-1998	236	3	}	}	PUNCT
cana-1998	236	4	}	}	PUNCT
cana-1998	236	5	=	=	SYM
cana-1998	236	6	max{max{ν̂z(~1	max{max{ν̂z(~1	NOUN
cana-1998	236	7	)	)	PUNCT
cana-1998	236	8	·	·	PUNCT
cana-1998	237	1	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	237	2	)	)	PUNCT
cana-1998	237	3	,	,	PUNCT
cana-1998	237	4	ν̂k(ð1	ν̂k(ð1	PROPN
cana-1998	237	5	)	)	PUNCT
cana-1998	237	6	·	·	PUNCT
cana-1998	237	7	ei2πγ̂k(ð1)},max{ν̂z(~2	ei2πγ̂k(ð1)},max{ν̂z(~2	ADV
cana-1998	237	8	)	)	PUNCT
cana-1998	237	9	·	·	PUNCT
cana-1998	237	10	ei2πγ̂z(~2	ei2πγ̂z(~2	NUM
cana-1998	237	11	)	)	PUNCT
cana-1998	237	12	,	,	PUNCT
cana-1998	237	13	ν̂k(ð2	ν̂k(ð2	PROPN
cana-1998	237	14	)	)	PUNCT
cana-1998	237	15	·	·	PUNCT
cana-1998	238	1	ei2πγ̂k(ð2	ei2πγ̂k(ð2	X
cana-1998	238	2	)	)	PUNCT
cana-1998	238	3	}	}	PUNCT
cana-1998	238	4	}	}	PUNCT
cana-1998	238	5	=	=	SYM
cana-1998	238	6	max{ν̂z×k((~1,ð1	max{ν̂z×k((~1,ð1	NOUN
cana-1998	238	7	)	)	PUNCT
cana-1998	238	8	)	)	PUNCT
cana-1998	238	9	·	·	PUNCT
cana-1998	239	1	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	239	2	)	)	PUNCT
cana-1998	239	3	)	)	PUNCT
cana-1998	239	4	,	,	PUNCT
cana-1998	239	5	ν̂z×k((~2,ð2	ν̂z×k((~2,ð2	PROPN
cana-1998	239	6	)	)	PUNCT
cana-1998	239	7	)	)	PUNCT
cana-1998	239	8	·	·	PUNCT
cana-1998	240	1	ei2πβ̂z×k((~2,ð2	ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	240	2	)	)	PUNCT
cana-1998	240	3	)	)	PUNCT
cana-1998	240	4	}	}	PUNCT
cana-1998	240	5	also	also	ADV
cana-1998	240	6	ν̂z×k[((~1,ð1)	ν̂z×k[((~1,ð1)	PROPN
cana-1998	240	7	�	�	NOUN
cana-1998	240	8	2	2	NUM
cana-1998	240	9	(	(	PUNCT
cana-1998	240	10	~2	~2	NOUN
cana-1998	240	11	,	,	PUNCT
cana-1998	240	12	ð2	ð2	PROPN
cana-1998	240	13	)	)	PUNCT
cana-1998	240	14	)	)	PUNCT
cana-1998	240	15	]	]	PUNCT
cana-1998	240	16	·	·	PUNCT
cana-1998	241	1	ei2πβ̂z×k[((~1,ð1)	ei2πβ̂z×k[((~1,ð1)	PROPN
cana-1998	241	2	�	�	PROPN
cana-1998	241	3	2(~2,ð2	2(~2,ð2	NUM
cana-1998	241	4	)	)	PUNCT
cana-1998	241	5	)	)	PUNCT
cana-1998	241	6	]	]	PUNCT
cana-1998	241	7	�	�	PROPN
cana-1998	241	8	max{ν̂z×k((~1	max{ν̂z×k((~1	PROPN
cana-1998	241	9	,	,	PUNCT
cana-1998	241	10	ð1	ð1	NOUN
cana-1998	241	11	)	)	PUNCT
cana-1998	241	12	)	)	PUNCT
cana-1998	241	13	·	·	PUNCT
cana-1998	241	14	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	241	15	)	)	PUNCT
cana-1998	241	16	)	)	PUNCT
cana-1998	241	17	,	,	PUNCT
cana-1998	241	18	ν̂z×k((~2,ð2	ν̂z×k((~2,ð2	PROPN
cana-1998	241	19	)	)	PUNCT
cana-1998	241	20	)	)	PUNCT
cana-1998	241	21	·	·	PUNCT
cana-1998	241	22	ei2πβ̂z×k((~2,ð2	ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	241	23	)	)	PUNCT
cana-1998	241	24	)	)	PUNCT
cana-1998	241	25	}	}	PUNCT
cana-1998	241	26	,	,	PUNCT
cana-1998	241	27	ν̂z×k[((~1,ð1)	ν̂z×k[((~1,ð1)	PROPN
cana-1998	241	28	�	�	NOUN
cana-1998	241	29	3	3	NUM
cana-1998	241	30	(	(	PUNCT
cana-1998	241	31	~2,ð2	~2,ð2	NUM
cana-1998	241	32	)	)	PUNCT
cana-1998	241	33	)	)	PUNCT
cana-1998	241	34	]	]	PUNCT
cana-1998	241	35	·	·	PUNCT
cana-1998	241	36	ei2πβ̂z×k[((~1,ð1)	ei2πβ̂z×k[((~1,ð1)	PROPN
cana-1998	241	37	�	�	PROPN
cana-1998	241	38	3(~2,ð2	3(~2,ð2	NUM
cana-1998	241	39	)	)	PUNCT
cana-1998	241	40	)	)	PUNCT
cana-1998	241	41	]	]	PUNCT
cana-1998	241	42	�	�	PROPN
cana-1998	241	43	max{ν̂z×k((~1	max{ν̂z×k((~1	PROPN
cana-1998	241	44	,	,	PUNCT
cana-1998	241	45	ð1	ð1	NOUN
cana-1998	241	46	)	)	PUNCT
cana-1998	241	47	)	)	PUNCT
cana-1998	241	48	·	·	PUNCT
cana-1998	241	49	ei2πβ̂z×k((~1,ð1	ei2πβ̂z×k((~1,ð1	NOUN
cana-1998	241	50	)	)	PUNCT
cana-1998	241	51	)	)	PUNCT
cana-1998	241	52	,	,	PUNCT
cana-1998	241	53	ν̂z×k((~2,ð2	ν̂z×k((~2,ð2	PROPN
cana-1998	241	54	)	)	PUNCT
cana-1998	241	55	)	)	PUNCT
cana-1998	241	56	·	·	PUNCT
cana-1998	242	1	ei2πβ̂z×k((~2,ð2	ei2πβ̂z×k((~2,ð2	NOUN
cana-1998	242	2	)	)	PUNCT
cana-1998	242	3	)	)	PUNCT
cana-1998	242	4	}	}	PUNCT
cana-1998	242	5	.	.	PUNCT
cana-1998	243	1	let	let	VERB
cana-1998	243	2	~1	~1	NOUN
cana-1998	243	3	,	,	PUNCT
cana-1998	243	4	~2	~2	NOUN
cana-1998	243	5	∈	∈	PROPN
cana-1998	243	6	b1	b1	NOUN
cana-1998	243	7	and	and	CCONJ
cana-1998	243	8	ð1	ð1	NOUN
cana-1998	243	9	,	,	PUNCT
cana-1998	243	10	ð2	ð2	PROPN
cana-1998	243	11	∈	∈	PROPN
cana-1998	243	12	b2	b2	NOUN
cana-1998	243	13	.	.	PUNCT
cana-1998	244	1	then	then	ADV
cana-1998	244	2	(	(	PUNCT
cana-1998	244	3	~1,ð1	~1,ð1	NOUN
cana-1998	244	4	)	)	PUNCT
cana-1998	244	5	and	and	CCONJ
cana-1998	244	6	(	(	PUNCT
cana-1998	244	7	~2,ð2	~2,ð2	NOUN
cana-1998	244	8	)	)	PUNCT
cana-1998	244	9	are	be	AUX
cana-1998	244	10	in	in	ADP
cana-1998	244	11	b1	b1	NOUN
cana-1998	244	12	×b2	×b2	NOUN
cana-1998	244	13	.	.	PUNCT
cana-1998	245	1	now	now	ADV
cana-1998	245	2	µz×k[((~1,ð1)	µz×k[((~1,ð1)	NUM
cana-1998	245	3	�	�	NOUN
cana-1998	245	4	1	1	NUM
cana-1998	245	5	(	(	PUNCT
cana-1998	245	6	~2,ð2	~2,ð2	NUM
cana-1998	245	7	)	)	PUNCT
cana-1998	245	8	)	)	PUNCT
cana-1998	245	9	]	]	PUNCT
cana-1998	245	10	·	·	PUNCT
cana-1998	245	11	ei2πβz×k[((~1,ð1)	ei2πβz×k[((~1,ð1)	PROPN
cana-1998	245	12	�	�	PROPN
cana-1998	245	13	1(~2,ð2	1(~2,ð2	NUM
cana-1998	245	14	)	)	PUNCT
cana-1998	245	15	)	)	PUNCT
cana-1998	245	16	]	]	PUNCT
cana-1998	246	1	=	=	SYM
cana-1998	246	2	µz×k((~1	µz×k((~1	NOUN
cana-1998	246	3	�	�	PROPN
cana-1998	246	4	1	1	NUM
cana-1998	246	5	~2,ð1	~2,ð1	NOUN
cana-1998	246	6	�	�	X
cana-1998	246	7	1	1	NUM
cana-1998	246	8	ð2	ð2	NOUN
cana-1998	246	9	)	)	PUNCT
cana-1998	246	10	)	)	PUNCT
cana-1998	246	11	·	·	PUNCT
cana-1998	246	12	ei2πβz×k((~1	ei2πβz×k((~1	X
cana-1998	246	13	�	�	PROPN
cana-1998	246	14	1~2,ð1	1~2,ð1	NOUN
cana-1998	246	15	�	�	NOUN
cana-1998	246	16	1ð2	1ð2	NUM
cana-1998	246	17	)	)	PUNCT
cana-1998	246	18	)	)	PUNCT
cana-1998	247	1	=	=	PUNCT
cana-1998	247	2	min{µz((~1	min{µz((~1	NOUN
cana-1998	247	3	�	�	NOUN
cana-1998	247	4	1	1	NUM
cana-1998	247	5	~2	~2	NOUN
cana-1998	247	6	)	)	PUNCT
cana-1998	247	7	)	)	PUNCT
cana-1998	247	8	·	·	PUNCT
cana-1998	247	9	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	247	10	�	�	PROPN
cana-1998	247	11	1~2	1~2	NUM
cana-1998	247	12	)	)	PUNCT
cana-1998	247	13	)	)	PUNCT
cana-1998	247	14	,	,	PUNCT
cana-1998	247	15	µk((ð1	µk((ð1	ADP
cana-1998	247	16	�	�	PROPN
cana-1998	247	17	1	1	NUM
cana-1998	247	18	ð2	ð2	NOUN
cana-1998	247	19	)	)	PUNCT
cana-1998	247	20	)	)	PUNCT
cana-1998	247	21	·	·	PUNCT
cana-1998	247	22	ei2πβk((ð1	ei2πβk((ð1	PROPN
cana-1998	247	23	�	�	PROPN
cana-1998	247	24	1ð2	1ð2	NUM
cana-1998	247	25	)	)	PUNCT
cana-1998	247	26	)	)	PUNCT
cana-1998	247	27	}	}	PUNCT
cana-1998	247	28	�	�	PROPN
cana-1998	247	29	min{min{µz(~1	min{min{µz(~1	PROPN
cana-1998	247	30	)	)	PUNCT
cana-1998	247	31	·	·	PUNCT
cana-1998	247	32	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	247	33	)	)	PUNCT
cana-1998	247	34	,	,	PUNCT
cana-1998	247	35	µz(~2	µz(~2	NOUN
cana-1998	247	36	)	)	PUNCT
cana-1998	247	37	·	·	PUNCT
cana-1998	247	38	ei2πβz(~2)},min{µk(ð1	ei2πβz(~2)},min{µk(ð1	X
cana-1998	247	39	)	)	PUNCT
cana-1998	247	40	·	·	PUNCT
cana-1998	247	41	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	247	42	)	)	PUNCT
cana-1998	247	43	,	,	PUNCT
cana-1998	247	44	µk(ð2	µk(ð2	X
cana-1998	247	45	)	)	PUNCT
cana-1998	247	46	·	·	PUNCT
cana-1998	247	47	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	247	48	)	)	PUNCT
cana-1998	247	49	}	}	PUNCT
cana-1998	247	50	}	}	PUNCT
cana-1998	247	51	=	=	PUNCT
cana-1998	247	52	min{min{µz(~1	min{min{µz(~1	NOUN
cana-1998	247	53	)	)	PUNCT
cana-1998	247	54	·	·	PUNCT
cana-1998	247	55	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	247	56	)	)	PUNCT
cana-1998	247	57	,	,	PUNCT
cana-1998	247	58	µk(ð1	µk(ð1	PROPN
cana-1998	247	59	)	)	PUNCT
cana-1998	247	60	·	·	PUNCT
cana-1998	247	61	ei2πβz(ð1)},min{µz(~2	ei2πβz(ð1)},min{µz(~2	NOUN
cana-1998	247	62	)	)	PUNCT
cana-1998	247	63	·	·	PUNCT
cana-1998	248	1	ei2πβz(~2	ei2πβz(~2	ADV
cana-1998	248	2	)	)	PUNCT
cana-1998	248	3	,	,	PUNCT
cana-1998	248	4	µk(ð2	µk(ð2	X
cana-1998	248	5	)	)	PUNCT
cana-1998	248	6	·	·	PUNCT
cana-1998	248	7	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	248	8	)	)	PUNCT
cana-1998	248	9	}	}	PUNCT
cana-1998	248	10	}	}	PUNCT
cana-1998	248	11	=	=	SYM
cana-1998	248	12	min{µz×k((~1,ð1	min{µz×k((~1,ð1	PROPN
cana-1998	248	13	)	)	PUNCT
cana-1998	248	14	)	)	PUNCT
cana-1998	248	15	·	·	PUNCT
cana-1998	249	1	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	249	2	)	)	PUNCT
cana-1998	249	3	)	)	PUNCT
cana-1998	249	4	,	,	PUNCT
cana-1998	249	5	µz×k((~2,ð2	µz×k((~2,ð2	NOUN
cana-1998	249	6	)	)	PUNCT
cana-1998	249	7	)	)	PUNCT
cana-1998	249	8	·	·	PUNCT
cana-1998	249	9	ei2πβz×k((~2,ð2	ei2πβz×k((~2,ð2	NUM
cana-1998	249	10	)	)	PUNCT
cana-1998	249	11	)	)	PUNCT
cana-1998	249	12	}	}	PUNCT
cana-1998	249	13	also	also	ADV
cana-1998	249	14	µz×k[((~1,ð1)	µz×k[((~1,ð1)	PRON
cana-1998	249	15	�	�	NOUN
cana-1998	249	16	2	2	NUM
cana-1998	249	17	(	(	PUNCT
cana-1998	249	18	~2	~2	NOUN
cana-1998	249	19	,	,	PUNCT
cana-1998	249	20	ð2	ð2	PROPN
cana-1998	249	21	)	)	PUNCT
cana-1998	249	22	)	)	PUNCT
cana-1998	249	23	]	]	PUNCT
cana-1998	249	24	·	·	PUNCT
cana-1998	249	25	ei2πβz×k[((~1,ð1)	ei2πβz×k[((~1,ð1)	PROPN
cana-1998	249	26	�	�	PROPN
cana-1998	249	27	2(~2,ð2	2(~2,ð2	NUM
cana-1998	249	28	)	)	PUNCT
cana-1998	249	29	)	)	PUNCT
cana-1998	249	30	]	]	PUNCT
cana-1998	249	31	�	�	PROPN
cana-1998	249	32	min{µz×k((~1,ð1	min{µz×k((~1,ð1	PROPN
cana-1998	249	33	)	)	PUNCT
cana-1998	249	34	)	)	PUNCT
cana-1998	249	35	·	·	PUNCT
cana-1998	250	1	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	250	2	)	)	PUNCT
cana-1998	250	3	)	)	PUNCT
cana-1998	250	4	,	,	PUNCT
cana-1998	250	5	µz×k((~2,ð2))ei2πβz×k((~2,ð2	µz×k((~2,ð2))ei2πβz×k((~2,ð2	NOUN
cana-1998	250	6	)	)	PUNCT
cana-1998	250	7	)	)	PUNCT
cana-1998	250	8	}	}	PUNCT
cana-1998	250	9	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	250	10	424	424	NUM
cana-1998	250	11	communications	communication	NOUN
cana-1998	250	12	on	on	ADP
cana-1998	250	13	applied	apply	VERB
cana-1998	250	14	nonlinear	nonlinear	ADJ
cana-1998	250	15	analysis	analysis	NOUN
cana-1998	250	16	issn	issn	NOUN
cana-1998	250	17	:	:	PUNCT
cana-1998	250	18	1074	1074	NUM
cana-1998	250	19	-	-	PUNCT
cana-1998	250	20	133x	133x	NUM
cana-1998	250	21	vol	vol	NOUN
cana-1998	250	22	32	32	NUM
cana-1998	250	23	no	no	NOUN
cana-1998	250	24	.	.	NOUN
cana-1998	250	25	3	3	NUM
cana-1998	250	26	(	(	PUNCT
cana-1998	250	27	2025	2025	NUM
cana-1998	250	28	)	)	PUNCT
cana-1998	250	29	and	and	CCONJ
cana-1998	250	30	µz×k[((~1	µz×k[((~1	PROPN
cana-1998	250	31	,	,	PUNCT
cana-1998	250	32	ð1)	ð1)	PROPN
cana-1998	250	33	�	�	X
cana-1998	250	34	3	3	NUM
cana-1998	250	35	(	(	PUNCT
cana-1998	250	36	~2,ð2	~2,ð2	NUM
cana-1998	250	37	)	)	PUNCT
cana-1998	250	38	)	)	PUNCT
cana-1998	250	39	]	]	PUNCT
cana-1998	250	40	·	·	PUNCT
cana-1998	250	41	ei2πβz×k[((~1,ð1)	ei2πβz×k[((~1,ð1)	PROPN
cana-1998	250	42	�	�	PROPN
cana-1998	250	43	3(~2,ð2	3(~2,ð2	NUM
cana-1998	250	44	)	)	PUNCT
cana-1998	250	45	)	)	PUNCT
cana-1998	250	46	]	]	PUNCT
cana-1998	250	47	�	�	PROPN
cana-1998	250	48	min{µz×k((~1,ð1	min{µz×k((~1,ð1	PROPN
cana-1998	250	49	)	)	PUNCT
cana-1998	250	50	)	)	PUNCT
cana-1998	250	51	·	·	PUNCT
cana-1998	250	52	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	250	53	)	)	PUNCT
cana-1998	250	54	)	)	PUNCT
cana-1998	250	55	,	,	PUNCT
cana-1998	250	56	µz×k((~2,ð2	µz×k((~2,ð2	NOUN
cana-1998	250	57	)	)	PUNCT
cana-1998	250	58	)	)	PUNCT
cana-1998	250	59	·	·	PUNCT
cana-1998	250	60	ei2πβz×k((~2,ð2	ei2πβz×k((~2,ð2	NOUN
cana-1998	250	61	)	)	PUNCT
cana-1998	250	62	)	)	PUNCT
cana-1998	250	63	}	}	PUNCT
cana-1998	250	64	.	.	PUNCT
cana-1998	251	1	now	now	ADV
cana-1998	251	2	,	,	PUNCT
cana-1998	251	3	νz×k[((~1,ð1)	νz×k[((~1,ð1)	PROPN
cana-1998	251	4	�	�	X
cana-1998	251	5	1	1	NUM
cana-1998	251	6	(	(	PUNCT
cana-1998	251	7	~2,ð2	~2,ð2	NUM
cana-1998	251	8	)	)	PUNCT
cana-1998	251	9	)	)	PUNCT
cana-1998	251	10	]	]	PUNCT
cana-1998	251	11	·	·	PUNCT
cana-1998	251	12	ei2πγz×k[((~1,ð1)	ei2πγz×k[((~1,ð1)	X
cana-1998	251	13	�	�	PROPN
cana-1998	251	14	1(~2,ð2	1(~2,ð2	NUM
cana-1998	251	15	)	)	PUNCT
cana-1998	251	16	)	)	PUNCT
cana-1998	251	17	]	]	PUNCT
cana-1998	252	1	=	=	PUNCT
cana-1998	252	2	νz×k((~1	νz×k((~1	NOUN
cana-1998	252	3	�	�	PROPN
cana-1998	252	4	1	1	NUM
cana-1998	252	5	~2,ð1	~2,ð1	NOUN
cana-1998	252	6	�	�	X
cana-1998	252	7	1	1	NUM
cana-1998	252	8	ð2	ð2	NOUN
cana-1998	252	9	)	)	PUNCT
cana-1998	252	10	)	)	PUNCT
cana-1998	252	11	·	·	PUNCT
cana-1998	253	1	ei2πγz×k((~1	ei2πγz×k((~1	VERB
cana-1998	253	2	�	�	NOUN
cana-1998	253	3	1~2,ð1	1~2,ð1	NOUN
cana-1998	253	4	�	�	NOUN
cana-1998	253	5	1ð2	1ð2	NUM
cana-1998	253	6	)	)	PUNCT
cana-1998	253	7	)	)	PUNCT
cana-1998	254	1	=	=	PUNCT
cana-1998	254	2	max{νz((~1	max{νz((~1	NOUN
cana-1998	254	3	�	�	PROPN
cana-1998	254	4	1	1	NUM
cana-1998	254	5	~2	~2	NOUN
cana-1998	254	6	)	)	PUNCT
cana-1998	254	7	)	)	PUNCT
cana-1998	254	8	·	·	PUNCT
cana-1998	255	1	ei2πγz×k((~1	ei2πγz×k((~1	VERB
cana-1998	255	2	�	�	NOUN
cana-1998	255	3	1~2	1~2	NUM
cana-1998	255	4	)	)	PUNCT
cana-1998	255	5	)	)	PUNCT
cana-1998	256	1	,	,	PUNCT
cana-1998	256	2	νk((ð1	νk((ð1	NOUN
cana-1998	256	3	�	�	PROPN
cana-1998	256	4	1	1	NUM
cana-1998	256	5	ð2	ð2	NOUN
cana-1998	256	6	)	)	PUNCT
cana-1998	256	7	)	)	PUNCT
cana-1998	256	8	·	·	PUNCT
cana-1998	257	1	ei2πγz×k((ð1	ei2πγz×k((ð1	NOUN
cana-1998	257	2	�	�	PROPN
cana-1998	257	3	1ð2	1ð2	NUM
cana-1998	257	4	)	)	PUNCT
cana-1998	257	5	)	)	PUNCT
cana-1998	257	6	}	}	PUNCT
cana-1998	257	7	�	�	PROPN
cana-1998	257	8	max{max{νz(~1	max{max{νz(~1	PROPN
cana-1998	257	9	)	)	PUNCT
cana-1998	257	10	·	·	PUNCT
cana-1998	257	11	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	257	12	)	)	PUNCT
cana-1998	257	13	,	,	PUNCT
cana-1998	257	14	νz(~2	νz(~2	NOUN
cana-1998	257	15	)	)	PUNCT
cana-1998	257	16	·	·	PUNCT
cana-1998	257	17	ei2πγz(~2)},max{νk(ð1	ei2πγz(~2)},max{νk(ð1	NUM
cana-1998	257	18	)	)	PUNCT
cana-1998	257	19	·	·	PUNCT
cana-1998	257	20	ei2πγk(ð1	ei2πγk(ð1	PROPN
cana-1998	257	21	)	)	PUNCT
cana-1998	257	22	,	,	PUNCT
cana-1998	257	23	νk(ð2	νk(ð2	ADJ
cana-1998	257	24	)	)	PUNCT
cana-1998	257	25	·	·	PUNCT
cana-1998	257	26	ei2πγk(ð2	ei2πγk(ð2	PROPN
cana-1998	257	27	)	)	PUNCT
cana-1998	257	28	}	}	PUNCT
cana-1998	257	29	}	}	PUNCT
cana-1998	257	30	=	=	SYM
cana-1998	257	31	max{max{νz(~1	max{max{νz(~1	PROPN
cana-1998	257	32	)	)	PUNCT
cana-1998	257	33	·	·	PUNCT
cana-1998	257	34	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	257	35	)	)	PUNCT
cana-1998	257	36	,	,	PUNCT
cana-1998	257	37	νk(ð1	νk(ð1	PROPN
cana-1998	257	38	)	)	PUNCT
cana-1998	257	39	·	·	PUNCT
cana-1998	257	40	ei2πγk(ð1)},max{νz(~2	ei2πγk(ð1)},max{νz(~2	PROPN
cana-1998	257	41	)	)	PUNCT
cana-1998	257	42	·	·	PUNCT
cana-1998	258	1	ei2πγz(~2	ei2πγz(~2	ADJ
cana-1998	258	2	)	)	PUNCT
cana-1998	258	3	,	,	PUNCT
cana-1998	258	4	νk(ð2	νk(ð2	ADJ
cana-1998	258	5	)	)	PUNCT
cana-1998	258	6	·	·	PUNCT
cana-1998	258	7	ei2πγk(ð2	ei2πγk(ð2	PROPN
cana-1998	258	8	)	)	PUNCT
cana-1998	258	9	}	}	PUNCT
cana-1998	258	10	}	}	PUNCT
cana-1998	258	11	=	=	SYM
cana-1998	258	12	max{νz×k((~1,ð1	max{νz×k((~1,ð1	NOUN
cana-1998	258	13	)	)	PUNCT
cana-1998	258	14	)	)	PUNCT
cana-1998	258	15	·	·	PUNCT
cana-1998	258	16	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	258	17	)	)	PUNCT
cana-1998	258	18	)	)	PUNCT
cana-1998	258	19	,	,	PUNCT
cana-1998	258	20	νz×k((~2	νz×k((~2	NOUN
cana-1998	258	21	,	,	PUNCT
cana-1998	258	22	ð2	ð2	PROPN
cana-1998	258	23	)	)	PUNCT
cana-1998	258	24	)	)	PUNCT
cana-1998	258	25	·	·	PUNCT
cana-1998	258	26	ei2πβz×k((~2,ð2	ei2πβz×k((~2,ð2	NUM
cana-1998	258	27	)	)	PUNCT
cana-1998	258	28	)	)	PUNCT
cana-1998	258	29	}	}	PUNCT
cana-1998	258	30	also	also	ADV
cana-1998	258	31	νz×k[((~1,ð1)	νz×k[((~1,ð1)	NOUN
cana-1998	258	32	�	�	SYM
cana-1998	258	33	2	2	NUM
cana-1998	258	34	(	(	PUNCT
cana-1998	258	35	~2,ð2	~2,ð2	NUM
cana-1998	258	36	)	)	PUNCT
cana-1998	258	37	)	)	PUNCT
cana-1998	258	38	]	]	PUNCT
cana-1998	258	39	·	·	PUNCT
cana-1998	258	40	ei2πβz×k[((~1,ð1)	ei2πβz×k[((~1,ð1)	PROPN
cana-1998	258	41	�	�	PROPN
cana-1998	258	42	2(~2,ð2	2(~2,ð2	NUM
cana-1998	258	43	)	)	PUNCT
cana-1998	258	44	)	)	PUNCT
cana-1998	258	45	]	]	PUNCT
cana-1998	258	46	�	�	PROPN
cana-1998	258	47	max{νz×k((~1,ð1	max{νz×k((~1,ð1	PROPN
cana-1998	258	48	)	)	PUNCT
cana-1998	258	49	)	)	PUNCT
cana-1998	258	50	·	·	PUNCT
cana-1998	258	51	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	258	52	)	)	PUNCT
cana-1998	258	53	)	)	PUNCT
cana-1998	258	54	,	,	PUNCT
cana-1998	258	55	νz×k((~2,ð2	νz×k((~2,ð2	PROPN
cana-1998	258	56	)	)	PUNCT
cana-1998	258	57	)	)	PUNCT
cana-1998	258	58	·	·	PUNCT
cana-1998	258	59	ei2πβz×k((~2,ð2	ei2πβz×k((~2,ð2	NUM
cana-1998	258	60	)	)	PUNCT
cana-1998	258	61	)	)	PUNCT
cana-1998	258	62	}	}	PUNCT
cana-1998	258	63	,	,	PUNCT
cana-1998	258	64	νz×k[((~1,ð1)	νz×k[((~1,ð1)	PROPN
cana-1998	258	65	�	�	X
cana-1998	258	66	3	3	NUM
cana-1998	258	67	(	(	PUNCT
cana-1998	258	68	~2,ð2	~2,ð2	NUM
cana-1998	258	69	)	)	PUNCT
cana-1998	258	70	)	)	PUNCT
cana-1998	258	71	]	]	PUNCT
cana-1998	258	72	·	·	PUNCT
cana-1998	258	73	ei2πβz×k[((~1,ð1)	ei2πβz×k[((~1,ð1)	PROPN
cana-1998	258	74	�	�	PROPN
cana-1998	258	75	3(~2,ð2	3(~2,ð2	NUM
cana-1998	258	76	)	)	PUNCT
cana-1998	258	77	)	)	PUNCT
cana-1998	258	78	]	]	PUNCT
cana-1998	258	79	�	�	PROPN
cana-1998	258	80	max{νz×k((~1,ð1	max{νz×k((~1,ð1	PROPN
cana-1998	258	81	)	)	PUNCT
cana-1998	258	82	)	)	PUNCT
cana-1998	258	83	·	·	PUNCT
cana-1998	258	84	ei2πβz×k((~1,ð1	ei2πβz×k((~1,ð1	NOUN
cana-1998	258	85	)	)	PUNCT
cana-1998	258	86	)	)	PUNCT
cana-1998	258	87	,	,	PUNCT
cana-1998	258	88	νz×k((~2,ð2	νz×k((~2,ð2	PROPN
cana-1998	258	89	)	)	PUNCT
cana-1998	258	90	)	)	PUNCT
cana-1998	258	91	·	·	PUNCT
cana-1998	258	92	ei2πβz×k((~2,ð2	ei2πβz×k((~2,ð2	NUM
cana-1998	258	93	)	)	PUNCT
cana-1998	258	94	)	)	PUNCT
cana-1998	258	95	}	}	PUNCT
cana-1998	258	96	.	.	PUNCT
cana-1998	259	1	thus	thus	ADV
cana-1998	259	2	,	,	PUNCT
cana-1998	259	3	ẑ	ẑ	PROPN
cana-1998	259	4	×	×	PROPN
cana-1998	259	5	k	k	PROPN
cana-1998	259	6	is	be	AUX
cana-1998	259	7	a	a	DET
cana-1998	259	8	comcifsbs	comcifsbs	NOUN
cana-1998	259	9	of	of	ADP
cana-1998	259	10	b.	b.	PROPN
cana-1998	259	11	corollary	corollary	PROPN
cana-1998	259	12	3.9	3.9	NUM
cana-1998	259	13	.	.	PUNCT
cana-1998	260	1	if	if	SCONJ
cana-1998	260	2	z1	z1	PROPN
cana-1998	260	3	,	,	PUNCT
cana-1998	260	4	z2	z2	PROPN
cana-1998	260	5	,	,	PUNCT
cana-1998	260	6	...	...	PUNCT
cana-1998	260	7	,	,	PUNCT
cana-1998	260	8	zn	zn	X
cana-1998	260	9	be	be	AUX
cana-1998	260	10	the	the	DET
cana-1998	260	11	finite	finite	ADJ
cana-1998	260	12	collection	collection	NOUN
cana-1998	260	13	of	of	ADP
cana-1998	260	14	comcifsbss	comcifsbss	NOUN
cana-1998	260	15	of	of	ADP
cana-1998	260	16	b1,b2	b1,b2	PROPN
cana-1998	260	17	,	,	PUNCT
cana-1998	260	18	...	...	PUNCT
cana-1998	260	19	,	,	PUNCT
cana-1998	260	20	bn	bn	INTJ
cana-1998	260	21	respectively	respectively	ADV
cana-1998	260	22	.	.	PUNCT
cana-1998	261	1	then	then	ADV
cana-1998	261	2	z1	z1	NUM
cana-1998	261	3	×	×	PROPN
cana-1998	261	4	z2	z2	PROPN
cana-1998	261	5	×	×	NOUN
cana-1998	261	6	...	...	PUNCT
cana-1998	261	7	×	×	NOUN
cana-1998	261	8	zn	zn	PROPN
cana-1998	261	9	is	be	AUX
cana-1998	261	10	a	a	DET
cana-1998	261	11	comcifsbs	comcifsbs	NOUN
cana-1998	261	12	of	of	ADP
cana-1998	261	13	b1	b1	NOUN
cana-1998	261	14	×b2	×b2	NOUN
cana-1998	261	15	×	×	NOUN
cana-1998	261	16	...	...	PUNCT
cana-1998	261	17	×bn	×bn	PROPN
cana-1998	261	18	.	.	PROPN
cana-1998	262	1	definition	definition	NOUN
cana-1998	262	2	3.10	3.10	NUM
cana-1998	262	3	.	.	PUNCT
cana-1998	263	1	let	let	VERB
cana-1998	263	2	z	z	NOUN
cana-1998	263	3	⊆	⊆	NUM
cana-1998	263	4	b	b	PROPN
cana-1998	263	5	,	,	PUNCT
cana-1998	263	6	the	the	DET
cana-1998	263	7	strongest	strong	ADJ
cana-1998	263	8	comcn	comcn	ADJ
cana-1998	263	9	relation	relation	NOUN
cana-1998	263	10	on	on	ADP
cana-1998	263	11	b	b	PROPN
cana-1998	263	12	is	be	AUX
cana-1998	263	13	{	{	PUNCT
cana-1998	263	14	µ̂υ((~,ð	µ̂υ((~,ð	ADJ
cana-1998	263	15	)	)	PUNCT
cana-1998	263	16	)	)	PUNCT
cana-1998	263	17	·	·	PUNCT
cana-1998	264	1	ei2πβ̂υ((~,ð	ei2πβ̂υ((~,ð	NUM
cana-1998	264	2	)	)	PUNCT
cana-1998	264	3	)	)	PUNCT
cana-1998	265	1	=	=	PUNCT
cana-1998	265	2	min{µ̂z(~	min{µ̂z(~	X
cana-1998	265	3	)	)	PUNCT
cana-1998	265	4	·	·	PUNCT
cana-1998	266	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	266	2	)	)	PUNCT
cana-1998	266	3	,	,	PUNCT
cana-1998	266	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	266	5	)	)	PUNCT
cana-1998	266	6	·	·	PUNCT
cana-1998	266	7	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	266	8	)	)	PUNCT
cana-1998	266	9	}	}	PUNCT
cana-1998	266	10	ν̂υ((~,ð	ν̂υ((~,ð	NOUN
cana-1998	266	11	)	)	PUNCT
cana-1998	266	12	)	)	PUNCT
cana-1998	266	13	·	·	PUNCT
cana-1998	266	14	ei2πγ̂υ((~,ð	ei2πγ̂υ((~,ð	NUM
cana-1998	266	15	)	)	PUNCT
cana-1998	266	16	)	)	PUNCT
cana-1998	267	1	=	=	SYM
cana-1998	267	2	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	267	3	)	)	PUNCT
cana-1998	267	4	·	·	PUNCT
cana-1998	268	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	268	2	)	)	PUNCT
cana-1998	268	3	,	,	PUNCT
cana-1998	268	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	268	5	)	)	PUNCT
cana-1998	268	6	·	·	PUNCT
cana-1998	268	7	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	268	8	)	)	PUNCT
cana-1998	268	9	}	}	PUNCT
cana-1998	268	10	}	}	PUNCT
cana-1998	268	11	theorem	theorem	VERB
cana-1998	268	12	3.11	3.11	NUM
cana-1998	268	13	.	.	PUNCT
cana-1998	269	1	let	let	VERB
cana-1998	269	2	z	z	PRON
cana-1998	269	3	be	be	AUX
cana-1998	269	4	a	a	DET
cana-1998	269	5	comcifsbs	comcifsbs	NOUN
cana-1998	269	6	of	of	ADP
cana-1998	269	7	b	b	NOUN
cana-1998	269	8	and	and	CCONJ
cana-1998	269	9	υ	υ	PROPN
cana-1998	269	10	be	be	AUX
cana-1998	269	11	a	a	DET
cana-1998	269	12	strongest	strong	ADJ
cana-1998	269	13	complex	complex	ADJ
cana-1998	269	14	cubic	cubic	ADJ
cana-1998	269	15	neutrosophic	neutrosophic	ADJ
cana-1998	269	16	relation	relation	NOUN
cana-1998	269	17	of	of	ADP
cana-1998	269	18	b.	b.	PROPN
cana-1998	270	1	then	then	ADV
cana-1998	270	2	z	z	PROPN
cana-1998	270	3	is	be	AUX
cana-1998	270	4	a	a	DET
cana-1998	270	5	comcifsbs	comcifsbs	NOUN
cana-1998	270	6	of	of	ADP
cana-1998	270	7	b	b	NOUN
cana-1998	270	8	×b	×b	NOUN
cana-1998	270	9	if	if	SCONJ
cana-1998	270	10	and	and	CCONJ
cana-1998	270	11	only	only	ADV
cana-1998	270	12	if	if	SCONJ
cana-1998	270	13	υ	υ	PRON
cana-1998	270	14	is	be	AUX
cana-1998	270	15	a	a	DET
cana-1998	270	16	comcifsbs	comcifsbs	NOUN
cana-1998	270	17	of	of	ADP
cana-1998	270	18	b	b	NOUN
cana-1998	270	19	×b	×b	NOUN
cana-1998	270	20	.	.	PUNCT
cana-1998	271	1	proof	proof	NOUN
cana-1998	271	2	.	.	PUNCT
cana-1998	272	1	suppose	suppose	VERB
cana-1998	272	2	z	z	NOUN
cana-1998	272	3	is	be	AUX
cana-1998	272	4	a	a	DET
cana-1998	272	5	comcifsbs	comcifsbs	NOUN
cana-1998	272	6	of	of	ADP
cana-1998	272	7	b	b	NUM
cana-1998	272	8	×	×	PROPN
cana-1998	272	9	b	b	PROPN
cana-1998	272	10	and	and	CCONJ
cana-1998	272	11	υ̂	υ̂	NUM
cana-1998	272	12	be	be	VERB
cana-1998	272	13	the	the	DET
cana-1998	272	14	strongest	strong	ADJ
cana-1998	272	15	complex	complex	ADJ
cana-1998	272	16	cubic	cubic	ADJ
cana-1998	272	17	neutrosophic	neutrosophic	ADJ
cana-1998	272	18	relation	relation	NOUN
cana-1998	272	19	of	of	ADP
cana-1998	272	20	b.	b.	PROPN
cana-1998	272	21	for	for	ADP
cana-1998	272	22	any	any	PRON
cana-1998	272	23	~	~	PUNCT
cana-1998	272	24	=	=	SYM
cana-1998	272	25	(	(	PUNCT
cana-1998	272	26	~1	~1	X
cana-1998	272	27	,	,	PUNCT
cana-1998	272	28	~2),ð	~2),ð	NOUN
cana-1998	272	29	=	=	SYM
cana-1998	272	30	(	(	PUNCT
cana-1998	272	31	ð1,ð2	ð1,ð2	PROPN
cana-1998	272	32	)	)	PUNCT
cana-1998	272	33	∈	∈	PROPN
cana-1998	272	34	s	s	PART
cana-1998	272	35	×b	×b	NOUN
cana-1998	272	36	.	.	PUNCT
cana-1998	273	1	now	now	ADV
cana-1998	273	2	,	,	PUNCT
cana-1998	273	3	µ̂υ((~	µ̂υ((~	NOUN
cana-1998	273	4	�	�	PROPN
cana-1998	273	5	1	1	NUM
cana-1998	273	6	ð	ð	NUM
cana-1998	273	7	)	)	PUNCT
cana-1998	273	8	)	)	PUNCT
cana-1998	273	9	·	·	PUNCT
cana-1998	273	10	ei2πβ̂υ((~	ei2πβ̂υ((~	NOUN
cana-1998	273	11	�	�	NOUN
cana-1998	273	12	1ð	1ð	NUM
cana-1998	273	13	)	)	PUNCT
cana-1998	273	14	)	)	PUNCT
cana-1998	274	1	=	=	SYM
cana-1998	274	2	µ̂υ[((((~1	µ̂υ[((((~1	PROPN
cana-1998	274	3	,	,	PUNCT
cana-1998	274	4	~2))	~2))	PROPN
cana-1998	274	5	�	�	PROPN
cana-1998	274	6	1	1	NUM
cana-1998	274	7	(	(	PUNCT
cana-1998	274	8	(	(	PUNCT
cana-1998	274	9	ð1,ð2	ð1,ð2	PROPN
cana-1998	274	10	)	)	PUNCT
cana-1998	274	11	)	)	PUNCT
cana-1998	274	12	]	]	PUNCT
cana-1998	274	13	·	·	PUNCT
cana-1998	274	14	ei2πβ̂υ[((((~1,~2))	ei2πβ̂υ[((((~1,~2))	ADJ
cana-1998	274	15	�	�	PROPN
cana-1998	274	16	1((ð1,ð2	1((ð1,ð2	NUM
cana-1998	274	17	)	)	PUNCT
cana-1998	274	18	)	)	PUNCT
cana-1998	274	19	]	]	PUNCT
cana-1998	275	1	=	=	SYM
cana-1998	275	2	µ̂υ(~1	µ̂υ(~1	NUM
cana-1998	275	3	�	�	PROPN
cana-1998	275	4	1	1	NUM
cana-1998	275	5	ð1	ð1	NOUN
cana-1998	275	6	,	,	PUNCT
cana-1998	275	7	~2	~2	NOUN
cana-1998	275	8	�	�	PROPN
cana-1998	275	9	1	1	NUM
cana-1998	275	10	ð2	ð2	PROPN
cana-1998	275	11	)	)	PUNCT
cana-1998	275	12	·	·	PUNCT
cana-1998	276	1	ei2πβ̂υ(~1	ei2πβ̂υ(~1	NUM
cana-1998	276	2	�	�	PROPN
cana-1998	276	3	1ð1,~2	1ð1,~2	NUM
cana-1998	276	4	�	�	NOUN
cana-1998	276	5	1ð2	1ð2	NUM
cana-1998	276	6	)	)	PUNCT
cana-1998	276	7	=	=	PUNCT
cana-1998	276	8	min{µ̂z((~1	min{µ̂z((~1	NUM
cana-1998	276	9	�	�	NOUN
cana-1998	276	10	1	1	NUM
cana-1998	276	11	ð1	ð1	NOUN
cana-1998	276	12	)	)	PUNCT
cana-1998	276	13	)	)	PUNCT
cana-1998	276	14	·	·	PUNCT
cana-1998	277	1	ei2πβ̂z((~1	ei2πβ̂z((~1	NOUN
cana-1998	277	2	�	�	PROPN
cana-1998	277	3	1ð1	1ð1	NUM
cana-1998	277	4	)	)	PUNCT
cana-1998	277	5	)	)	PUNCT
cana-1998	277	6	,	,	PUNCT
cana-1998	277	7	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	277	8	�	�	PROPN
cana-1998	277	9	1	1	NUM
cana-1998	277	10	ð2	ð2	NOUN
cana-1998	277	11	)	)	PUNCT
cana-1998	277	12	)	)	PUNCT
cana-1998	277	13	·	·	PUNCT
cana-1998	278	1	ei2πβ̂z((~2	ei2πβ̂z((~2	NOUN
cana-1998	278	2	�	�	PROPN
cana-1998	278	3	1ð2	1ð2	NUM
cana-1998	278	4	)	)	PUNCT
cana-1998	278	5	)	)	PUNCT
cana-1998	278	6	}	}	PUNCT
cana-1998	278	7	�	�	PROPN
cana-1998	278	8	min{min{µ̂z(~1	min{min{µ̂z(~1	PROPN
cana-1998	278	9	)	)	PUNCT
cana-1998	278	10	·	·	PUNCT
cana-1998	279	1	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	279	2	)	)	PUNCT
cana-1998	279	3	,	,	PUNCT
cana-1998	279	4	µ̂z(ð1	µ̂z(ð1	PROPN
cana-1998	279	5	)	)	PUNCT
cana-1998	279	6	·	·	PUNCT
cana-1998	279	7	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	279	8	)	)	PUNCT
cana-1998	279	9	}	}	PUNCT
cana-1998	279	10	,	,	PUNCT
cana-1998	279	11	min{µ̂z(~2	min{µ̂z(~2	NOUN
cana-1998	279	12	)	)	PUNCT
cana-1998	279	13	·	·	PUNCT
cana-1998	280	1	ei2πβ̂z(~2	ei2πβ̂z(~2	NUM
cana-1998	280	2	)	)	PUNCT
cana-1998	280	3	,	,	PUNCT
cana-1998	280	4	µ̂z(ð2	µ̂z(ð2	X
cana-1998	280	5	)	)	PUNCT
cana-1998	280	6	·	·	PUNCT
cana-1998	280	7	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	280	8	)	)	PUNCT
cana-1998	280	9	}	}	PUNCT
cana-1998	280	10	}	}	PUNCT
cana-1998	280	11	=	=	SYM
cana-1998	280	12	min{min{µ̂z(~1	min{min{µ̂z(~1	NOUN
cana-1998	280	13	)	)	PUNCT
cana-1998	280	14	·	·	PUNCT
cana-1998	280	15	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	280	16	)	)	PUNCT
cana-1998	280	17	,	,	PUNCT
cana-1998	280	18	µ̂z(~2	µ̂z(~2	NUM
cana-1998	280	19	)	)	PUNCT
cana-1998	280	20	·	·	PUNCT
cana-1998	280	21	ei2πβ̂z(~2	ei2πβ̂z(~2	NUM
cana-1998	280	22	)	)	PUNCT
cana-1998	280	23	}	}	PUNCT
cana-1998	280	24	,	,	PUNCT
cana-1998	280	25	min{µ̂z(ð1	min{µ̂z(ð1	PROPN
cana-1998	280	26	)	)	PUNCT
cana-1998	280	27	·	·	PUNCT
cana-1998	280	28	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	280	29	)	)	PUNCT
cana-1998	280	30	,	,	PUNCT
cana-1998	280	31	µ̂z(ð2	µ̂z(ð2	PROPN
cana-1998	280	32	)	)	PUNCT
cana-1998	280	33	·	·	PUNCT
cana-1998	281	1	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	281	2	)	)	PUNCT
cana-1998	281	3	}	}	PUNCT
cana-1998	281	4	}	}	PUNCT
cana-1998	281	5	=	=	SYM
cana-1998	281	6	min{µ̂υ((~1	min{µ̂υ((~1	NOUN
cana-1998	281	7	,	,	PUNCT
cana-1998	281	8	~2	~2	NOUN
cana-1998	281	9	)	)	PUNCT
cana-1998	281	10	)	)	PUNCT
cana-1998	281	11	·	·	PUNCT
cana-1998	281	12	ei2πβ̂υ((~1,~2	ei2πβ̂υ((~1,~2	PROPN
cana-1998	281	13	)	)	PUNCT
cana-1998	281	14	)	)	PUNCT
cana-1998	281	15	,	,	PUNCT
cana-1998	281	16	µ̂υ((ð1,ð2	µ̂υ((ð1,ð2	PRON
cana-1998	281	17	)	)	PUNCT
cana-1998	281	18	)	)	PUNCT
cana-1998	281	19	·	·	PUNCT
cana-1998	282	1	ei2πβ̂υ((ð1,ð2	ei2πβ̂υ((ð1,ð2	NOUN
cana-1998	282	2	)	)	PUNCT
cana-1998	282	3	)	)	PUNCT
cana-1998	282	4	}	}	PUNCT
cana-1998	283	1	=	=	SYM
cana-1998	283	2	min{µ̂υ(~	min{µ̂υ(~	X
cana-1998	283	3	)	)	PUNCT
cana-1998	283	4	·	·	PUNCT
cana-1998	284	1	ei2πβ̂υ(~	ei2πβ̂υ(~	PROPN
cana-1998	284	2	)	)	PUNCT
cana-1998	284	3	,	,	PUNCT
cana-1998	284	4	µ̂υ(ð	µ̂υ(ð	PROPN
cana-1998	284	5	)	)	PUNCT
cana-1998	284	6	·	·	PUNCT
cana-1998	284	7	ei2πβ̂υ(ð	ei2πβ̂υ(ð	NOUN
cana-1998	284	8	)	)	PUNCT
cana-1998	284	9	}	}	PUNCT
cana-1998	284	10	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	284	11	425	425	NUM
cana-1998	284	12	communications	communication	NOUN
cana-1998	284	13	on	on	ADP
cana-1998	284	14	applied	apply	VERB
cana-1998	284	15	nonlinear	nonlinear	ADJ
cana-1998	284	16	analysis	analysis	NOUN
cana-1998	284	17	issn	issn	NOUN
cana-1998	284	18	:	:	PUNCT
cana-1998	284	19	1074	1074	NUM
cana-1998	284	20	-	-	PUNCT
cana-1998	284	21	133x	133x	NUM
cana-1998	284	22	vol	vol	NOUN
cana-1998	284	23	32	32	NUM
cana-1998	284	24	no	no	NOUN
cana-1998	284	25	.	.	NOUN
cana-1998	284	26	3	3	NUM
cana-1998	284	27	(	(	PUNCT
cana-1998	284	28	2025	2025	NUM
cana-1998	284	29	)	)	PUNCT
cana-1998	284	30	also	also	ADV
cana-1998	284	31	µ̂υ((~	µ̂υ((~	NUM
cana-1998	284	32	�	�	NOUN
cana-1998	284	33	2	2	NUM
cana-1998	284	34	ð	ð	NUM
cana-1998	284	35	)	)	PUNCT
cana-1998	284	36	)	)	PUNCT
cana-1998	284	37	·	·	PUNCT
cana-1998	285	1	ei2πβ̂υ((~	ei2πβ̂υ((~	NOUN
cana-1998	285	2	�	�	NOUN
cana-1998	285	3	2ð	2ð	NUM
cana-1998	285	4	)	)	PUNCT
cana-1998	285	5	)	)	PUNCT
cana-1998	285	6	�	�	PROPN
cana-1998	285	7	min{µ̂υ(~	min{µ̂υ(~	NUM
cana-1998	285	8	)	)	PUNCT
cana-1998	285	9	·	·	PUNCT
cana-1998	285	10	ei2πβ̂υ(~	ei2πβ̂υ(~	PROPN
cana-1998	285	11	)	)	PUNCT
cana-1998	285	12	,	,	PUNCT
cana-1998	285	13	µ̂υ(ð	µ̂υ(ð	PROPN
cana-1998	285	14	)	)	PUNCT
cana-1998	285	15	·	·	PUNCT
cana-1998	285	16	ei2πβ̂υ(ð	ei2πβ̂υ(ð	NOUN
cana-1998	285	17	)	)	PUNCT
cana-1998	285	18	}	}	PUNCT
cana-1998	285	19	,	,	PUNCT
cana-1998	285	20	µ̂υ((~	µ̂υ((~	NOUN
cana-1998	285	21	�	�	PROPN
cana-1998	285	22	3	3	NUM
cana-1998	285	23	ð	ð	NUM
cana-1998	285	24	)	)	PUNCT
cana-1998	285	25	)	)	PUNCT
cana-1998	285	26	·	·	PUNCT
cana-1998	285	27	ei2πβ̂υ((~	ei2πβ̂υ((~	NOUN
cana-1998	285	28	�	�	NOUN
cana-1998	285	29	3ð	3ð	NUM
cana-1998	285	30	)	)	PUNCT
cana-1998	285	31	)	)	PUNCT
cana-1998	285	32	�	�	PROPN
cana-1998	285	33	min{µ̂υ(~	min{µ̂υ(~	NUM
cana-1998	285	34	)	)	PUNCT
cana-1998	285	35	·	·	PUNCT
cana-1998	285	36	ei2πβ̂υ(~	ei2πβ̂υ(~	PROPN
cana-1998	285	37	)	)	PUNCT
cana-1998	285	38	,	,	PUNCT
cana-1998	285	39	µ̂υ(ð	µ̂υ(ð	PROPN
cana-1998	285	40	)	)	PUNCT
cana-1998	285	41	·	·	PUNCT
cana-1998	285	42	ei2πβ̂υ(ð	ei2πβ̂υ(ð	NOUN
cana-1998	285	43	)	)	PUNCT
cana-1998	285	44	}	}	PUNCT
cana-1998	285	45	.	.	PUNCT
cana-1998	286	1	similarly	similarly	ADV
cana-1998	286	2	,	,	PUNCT
cana-1998	286	3	ν̂υ((~	ν̂υ((~	NOUN
cana-1998	286	4	�	�	NOUN
cana-1998	286	5	1	1	NUM
cana-1998	286	6	ð	ð	NUM
cana-1998	286	7	)	)	PUNCT
cana-1998	286	8	)	)	PUNCT
cana-1998	286	9	·	·	PUNCT
cana-1998	286	10	ei2πγ̂υ((~	ei2πγ̂υ((~	NOUN
cana-1998	286	11	�	�	NOUN
cana-1998	286	12	1ð	1ð	NUM
cana-1998	286	13	)	)	PUNCT
cana-1998	286	14	)	)	PUNCT
cana-1998	286	15	�	�	PROPN
cana-1998	286	16	max{ν̂υ(~	max{ν̂υ(~	PROPN
cana-1998	286	17	)	)	PUNCT
cana-1998	286	18	·	·	PUNCT
cana-1998	287	1	ei2πγ̂υ(~	ei2πγ̂υ(~	X
cana-1998	287	2	)	)	PUNCT
cana-1998	287	3	·	·	PUNCT
cana-1998	287	4	,	,	PUNCT
cana-1998	287	5	ν̂υ(ð	ν̂υ(ð	PROPN
cana-1998	287	6	)	)	PUNCT
cana-1998	287	7	·	·	PUNCT
cana-1998	288	1	ei2πγ̂υ(ð	ei2πγ̂υ(ð	NOUN
cana-1998	288	2	)	)	PUNCT
cana-1998	288	3	}	}	PUNCT
cana-1998	288	4	,	,	PUNCT
cana-1998	288	5	ν̂υ((~	ν̂υ((~	NOUN
cana-1998	288	6	�	�	NOUN
cana-1998	288	7	2	2	NUM
cana-1998	288	8	ð	ð	NUM
cana-1998	288	9	)	)	PUNCT
cana-1998	288	10	)	)	PUNCT
cana-1998	288	11	·	·	PUNCT
cana-1998	288	12	ei2πγ̂υ((~	ei2πγ̂υ((~	NOUN
cana-1998	288	13	�	�	NOUN
cana-1998	288	14	2ð	2ð	NUM
cana-1998	288	15	)	)	PUNCT
cana-1998	288	16	)	)	PUNCT
cana-1998	288	17	�	�	PROPN
cana-1998	288	18	max{ν̂υ(~	max{ν̂υ(~	PROPN
cana-1998	288	19	)	)	PUNCT
cana-1998	288	20	·	·	PUNCT
cana-1998	289	1	ei2πγ̂υ(~	ei2πγ̂υ(~	PROPN
cana-1998	289	2	)	)	PUNCT
cana-1998	289	3	,	,	PUNCT
cana-1998	289	4	ν̂υ(ð	ν̂υ(ð	PROPN
cana-1998	289	5	)	)	PUNCT
cana-1998	289	6	·	·	PUNCT
cana-1998	290	1	ei2πγ̂υ(ð	ei2πγ̂υ(ð	NOUN
cana-1998	290	2	)	)	PUNCT
cana-1998	290	3	}	}	PUNCT
cana-1998	290	4	and	and	CCONJ
cana-1998	290	5	ν̂υ((~	ν̂υ((~	NUM
cana-1998	290	6	�	�	NOUN
cana-1998	290	7	3	3	NUM
cana-1998	290	8	ð	ð	NUM
cana-1998	290	9	)	)	PUNCT
cana-1998	290	10	)	)	PUNCT
cana-1998	290	11	·	·	PUNCT
cana-1998	291	1	ei2πγ̂υ((~	ei2πγ̂υ((~	NOUN
cana-1998	291	2	�	�	NOUN
cana-1998	291	3	3ð	3ð	NUM
cana-1998	291	4	)	)	PUNCT
cana-1998	291	5	)	)	PUNCT
cana-1998	291	6	�	�	PROPN
cana-1998	291	7	max{ν̂υ(~	max{ν̂υ(~	PROPN
cana-1998	291	8	)	)	PUNCT
cana-1998	291	9	·	·	PUNCT
cana-1998	291	10	ei2πγ̂υ(~	ei2πγ̂υ(~	PROPN
cana-1998	291	11	)	)	PUNCT
cana-1998	291	12	,	,	PUNCT
cana-1998	291	13	ν̂υ(ð	ν̂υ(ð	PROPN
cana-1998	291	14	)	)	PUNCT
cana-1998	291	15	·	·	PUNCT
cana-1998	291	16	ei2πîiυ(ð	ei2πîiυ(ð	ADJ
cana-1998	291	17	}	}	PUNCT
cana-1998	291	18	.	.	PUNCT
cana-1998	292	1	for	for	ADP
cana-1998	292	2	any	any	DET
cana-1998	292	3	~	~	PUNCT
cana-1998	292	4	=	=	SYM
cana-1998	292	5	(	(	PUNCT
cana-1998	292	6	~1	~1	X
cana-1998	292	7	,	,	PUNCT
cana-1998	292	8	~2),ð	~2),ð	NOUN
cana-1998	292	9	=	=	SYM
cana-1998	292	10	(	(	PUNCT
cana-1998	292	11	ð1,ð2	ð1,ð2	PROPN
cana-1998	292	12	)	)	PUNCT
cana-1998	292	13	∈	∈	PROPN
cana-1998	292	14	s	s	PART
cana-1998	292	15	×b	×b	NOUN
cana-1998	292	16	.	.	PUNCT
cana-1998	293	1	now	now	ADV
cana-1998	293	2	,	,	PUNCT
cana-1998	293	3	µυ((~	µυ((~	X
cana-1998	293	4	�	�	X
cana-1998	293	5	1	1	NUM
cana-1998	293	6	ð	ð	NUM
cana-1998	293	7	)	)	PUNCT
cana-1998	293	8	)	)	PUNCT
cana-1998	293	9	·	·	PUNCT
cana-1998	293	10	ei2πβυ((~	ei2πβυ((~	NOUN
cana-1998	293	11	�	�	NOUN
cana-1998	293	12	1ð	1ð	NUM
cana-1998	293	13	)	)	PUNCT
cana-1998	293	14	)	)	PUNCT
cana-1998	294	1	=	=	SYM
cana-1998	294	2	µυ[((((~1	µυ[((((~1	NOUN
cana-1998	294	3	,	,	PUNCT
cana-1998	294	4	~2))	~2))	PROPN
cana-1998	294	5	�	�	PROPN
cana-1998	294	6	1	1	NUM
cana-1998	294	7	(	(	PUNCT
cana-1998	294	8	(	(	PUNCT
cana-1998	294	9	ð1,ð2	ð1,ð2	PROPN
cana-1998	294	10	)	)	PUNCT
cana-1998	294	11	)	)	PUNCT
cana-1998	294	12	]	]	PUNCT
cana-1998	294	13	·	·	PUNCT
cana-1998	294	14	ei2πβυ[((((~1,~2))	ei2πβυ[((((~1,~2))	VERB
cana-1998	294	15	�	�	PROPN
cana-1998	294	16	1((ð1,ð2	1((ð1,ð2	NUM
cana-1998	294	17	)	)	PUNCT
cana-1998	294	18	)	)	PUNCT
cana-1998	294	19	]	]	PUNCT
cana-1998	295	1	=	=	PUNCT
cana-1998	295	2	µυ(~1	µυ(~1	NOUN
cana-1998	295	3	�	�	PROPN
cana-1998	295	4	1	1	NUM
cana-1998	295	5	ð1	ð1	NOUN
cana-1998	295	6	,	,	PUNCT
cana-1998	295	7	~2	~2	NOUN
cana-1998	295	8	�	�	PROPN
cana-1998	295	9	1	1	NUM
cana-1998	295	10	ð2	ð2	PROPN
cana-1998	295	11	)	)	PUNCT
cana-1998	295	12	·	·	PUNCT
cana-1998	296	1	ei2πβυ(~1	ei2πβυ(~1	NOUN
cana-1998	296	2	�	�	PROPN
cana-1998	296	3	1ð1,~2	1ð1,~2	NUM
cana-1998	296	4	�	�	NOUN
cana-1998	296	5	1ð2	1ð2	NUM
cana-1998	296	6	)	)	PUNCT
cana-1998	296	7	=	=	PUNCT
cana-1998	296	8	min{µz((~1	min{µz((~1	NOUN
cana-1998	296	9	�	�	NOUN
cana-1998	296	10	1	1	NUM
cana-1998	296	11	ð1	ð1	NOUN
cana-1998	296	12	)	)	PUNCT
cana-1998	296	13	)	)	PUNCT
cana-1998	296	14	·	·	PUNCT
cana-1998	296	15	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	296	16	�	�	PROPN
cana-1998	296	17	1ð1	1ð1	NUM
cana-1998	296	18	)	)	PUNCT
cana-1998	296	19	)	)	PUNCT
cana-1998	296	20	,	,	PUNCT
cana-1998	296	21	µz((~2	µz((~2	X
cana-1998	296	22	�	�	PROPN
cana-1998	296	23	1	1	NUM
cana-1998	296	24	ð2	ð2	NOUN
cana-1998	296	25	)	)	PUNCT
cana-1998	296	26	)	)	PUNCT
cana-1998	296	27	·	·	PUNCT
cana-1998	296	28	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	296	29	�	�	PROPN
cana-1998	296	30	1ð2	1ð2	NUM
cana-1998	296	31	)	)	PUNCT
cana-1998	296	32	)	)	PUNCT
cana-1998	296	33	}	}	PUNCT
cana-1998	296	34	�	�	PROPN
cana-1998	296	35	min{min{µz(~1	min{min{µz(~1	PROPN
cana-1998	296	36	)	)	PUNCT
cana-1998	296	37	·	·	PUNCT
cana-1998	297	1	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	297	2	)	)	PUNCT
cana-1998	297	3	,	,	PUNCT
cana-1998	297	4	µz(ð1	µz(ð1	NOUN
cana-1998	297	5	)	)	PUNCT
cana-1998	297	6	·	·	PUNCT
cana-1998	297	7	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	297	8	)	)	PUNCT
cana-1998	297	9	}	}	PUNCT
cana-1998	297	10	,	,	PUNCT
cana-1998	297	11	min{µz(~2	min{µz(~2	NUM
cana-1998	297	12	)	)	PUNCT
cana-1998	297	13	·	·	PUNCT
cana-1998	298	1	ei2πβz(~2	ei2πβz(~2	ADJ
cana-1998	298	2	)	)	PUNCT
cana-1998	298	3	,	,	PUNCT
cana-1998	298	4	µz(ð2	µz(ð2	X
cana-1998	298	5	)	)	PUNCT
cana-1998	298	6	·	·	PUNCT
cana-1998	298	7	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	298	8	)	)	PUNCT
cana-1998	298	9	}	}	PUNCT
cana-1998	298	10	}	}	PUNCT
cana-1998	298	11	=	=	PUNCT
cana-1998	298	12	min{min{µz(~1	min{min{µz(~1	NOUN
cana-1998	298	13	)	)	PUNCT
cana-1998	298	14	·	·	PUNCT
cana-1998	298	15	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	298	16	)	)	PUNCT
cana-1998	298	17	,	,	PUNCT
cana-1998	298	18	µz(~2	µz(~2	NOUN
cana-1998	298	19	)	)	PUNCT
cana-1998	298	20	·	·	PUNCT
cana-1998	299	1	ei2πβz(~2	ei2πβz(~2	ADJ
cana-1998	299	2	)	)	PUNCT
cana-1998	299	3	}	}	PUNCT
cana-1998	299	4	,	,	PUNCT
cana-1998	299	5	min{µz(ð1	min{µz(ð1	PROPN
cana-1998	299	6	)	)	PUNCT
cana-1998	299	7	·	·	PUNCT
cana-1998	299	8	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	299	9	)	)	PUNCT
cana-1998	299	10	,	,	PUNCT
cana-1998	299	11	µz(ð2	µz(ð2	X
cana-1998	299	12	)	)	PUNCT
cana-1998	299	13	·	·	PUNCT
cana-1998	299	14	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	299	15	)	)	PUNCT
cana-1998	299	16	}	}	PUNCT
cana-1998	299	17	}	}	PUNCT
cana-1998	299	18	=	=	SYM
cana-1998	299	19	min{µυ((~1	min{µυ((~1	NOUN
cana-1998	299	20	,	,	PUNCT
cana-1998	299	21	~2	~2	NOUN
cana-1998	299	22	)	)	PUNCT
cana-1998	299	23	)	)	PUNCT
cana-1998	299	24	·	·	PUNCT
cana-1998	300	1	ei2πβυ((~1,~2	ei2πβυ((~1,~2	NOUN
cana-1998	300	2	)	)	PUNCT
cana-1998	300	3	)	)	PUNCT
cana-1998	300	4	,	,	PUNCT
cana-1998	300	5	µυ((ð1,ð2	µυ((ð1,ð2	NOUN
cana-1998	300	6	)	)	PUNCT
cana-1998	300	7	)	)	PUNCT
cana-1998	300	8	·	·	PUNCT
cana-1998	301	1	ei2πβυ((ð1,ð2	ei2πβυ((ð1,ð2	NUM
cana-1998	301	2	)	)	PUNCT
cana-1998	301	3	)	)	PUNCT
cana-1998	301	4	}	}	PUNCT
cana-1998	301	5	=	=	SYM
cana-1998	301	6	min{µυ(~	min{µυ(~	NOUN
cana-1998	301	7	)	)	PUNCT
cana-1998	301	8	·	·	PUNCT
cana-1998	301	9	ei2πβυ(~	ei2πβυ(~	X
cana-1998	301	10	)	)	PUNCT
cana-1998	301	11	,	,	PUNCT
cana-1998	301	12	µυ(ð	µυ(ð	NOUN
cana-1998	301	13	)	)	PUNCT
cana-1998	301	14	·	·	PUNCT
cana-1998	302	1	ei2πβυ(ð	ei2πβυ(ð	PROPN
cana-1998	302	2	)	)	PUNCT
cana-1998	302	3	}	}	PUNCT
cana-1998	302	4	also	also	ADV
cana-1998	302	5	µυ((~	µυ((~	X
cana-1998	302	6	�	�	X
cana-1998	302	7	2	2	NUM
cana-1998	302	8	ð	ð	NUM
cana-1998	302	9	)	)	PUNCT
cana-1998	302	10	)	)	PUNCT
cana-1998	302	11	·	·	PUNCT
cana-1998	303	1	ei2πβυ((~	ei2πβυ((~	NOUN
cana-1998	303	2	�	�	NOUN
cana-1998	303	3	2ð	2ð	NUM
cana-1998	303	4	)	)	PUNCT
cana-1998	303	5	)	)	PUNCT
cana-1998	303	6	�	�	PROPN
cana-1998	303	7	min{µυ(~	min{µυ(~	PROPN
cana-1998	303	8	)	)	PUNCT
cana-1998	303	9	·	·	PUNCT
cana-1998	303	10	ei2πβυ(~	ei2πβυ(~	X
cana-1998	303	11	)	)	PUNCT
cana-1998	303	12	,	,	PUNCT
cana-1998	303	13	µυ(ð	µυ(ð	NOUN
cana-1998	303	14	)	)	PUNCT
cana-1998	303	15	·	·	PUNCT
cana-1998	303	16	ei2πβυ(ð	ei2πβυ(ð	PROPN
cana-1998	303	17	)	)	PUNCT
cana-1998	303	18	}	}	PUNCT
cana-1998	303	19	,	,	PUNCT
cana-1998	303	20	µυ((~	µυ((~	X
cana-1998	303	21	�	�	X
cana-1998	303	22	3	3	NUM
cana-1998	303	23	ð	ð	NUM
cana-1998	303	24	)	)	PUNCT
cana-1998	303	25	)	)	PUNCT
cana-1998	303	26	·	·	PUNCT
cana-1998	304	1	ei2πβυ((~	ei2πβυ((~	NOUN
cana-1998	304	2	�	�	NOUN
cana-1998	304	3	3ð	3ð	NUM
cana-1998	304	4	)	)	PUNCT
cana-1998	304	5	)	)	PUNCT
cana-1998	304	6	�	�	PROPN
cana-1998	304	7	min{µυ(~	min{µυ(~	PROPN
cana-1998	304	8	)	)	PUNCT
cana-1998	304	9	·	·	PUNCT
cana-1998	304	10	ei2πβυ(~	ei2πβυ(~	X
cana-1998	304	11	)	)	PUNCT
cana-1998	304	12	,	,	PUNCT
cana-1998	304	13	µυ(ð	µυ(ð	NOUN
cana-1998	304	14	)	)	PUNCT
cana-1998	304	15	·	·	PUNCT
cana-1998	304	16	ei2πβυ(ð	ei2πβυ(ð	PROPN
cana-1998	304	17	)	)	PUNCT
cana-1998	304	18	}	}	PUNCT
cana-1998	304	19	.	.	PUNCT
cana-1998	305	1	similarly	similarly	ADV
cana-1998	305	2	,	,	PUNCT
cana-1998	305	3	νυ((~	νυ((~	VERB
cana-1998	305	4	�	�	X
cana-1998	305	5	1	1	NUM
cana-1998	305	6	ð	ð	NUM
cana-1998	305	7	)	)	PUNCT
cana-1998	305	8	)	)	PUNCT
cana-1998	305	9	·	·	PUNCT
cana-1998	306	1	ei2πγυ((~	ei2πγυ((~	X
cana-1998	306	2	�	�	NOUN
cana-1998	306	3	1ð	1ð	NUM
cana-1998	306	4	)	)	PUNCT
cana-1998	306	5	)	)	PUNCT
cana-1998	306	6	�	�	PROPN
cana-1998	306	7	max{νυ(~	max{νυ(~	PROPN
cana-1998	306	8	)	)	PUNCT
cana-1998	306	9	·	·	PUNCT
cana-1998	306	10	ei2πγυ(~	ei2πγυ(~	NOUN
cana-1998	306	11	)	)	PUNCT
cana-1998	306	12	·	·	PUNCT
cana-1998	306	13	,	,	PUNCT
cana-1998	306	14	νυ(ð	νυ(ð	NUM
cana-1998	306	15	)	)	PUNCT
cana-1998	306	16	·	·	PUNCT
cana-1998	306	17	ei2πγυ(ð	ei2πγυ(ð	PROPN
cana-1998	306	18	)	)	PUNCT
cana-1998	306	19	}	}	PUNCT
cana-1998	306	20	,	,	PUNCT
cana-1998	306	21	νυ((~	νυ((~	VERB
cana-1998	306	22	�	�	X
cana-1998	306	23	2	2	NUM
cana-1998	306	24	ð	ð	NUM
cana-1998	306	25	)	)	PUNCT
cana-1998	306	26	)	)	PUNCT
cana-1998	306	27	·	·	PUNCT
cana-1998	307	1	ei2πγυ((~	ei2πγυ((~	X
cana-1998	307	2	�	�	NOUN
cana-1998	307	3	2ð	2ð	NUM
cana-1998	307	4	)	)	PUNCT
cana-1998	307	5	)	)	PUNCT
cana-1998	307	6	�	�	PROPN
cana-1998	307	7	max{νυ(~	max{νυ(~	PROPN
cana-1998	307	8	)	)	PUNCT
cana-1998	307	9	·	·	PUNCT
cana-1998	307	10	ei2πγυ(~	ei2πγυ(~	NOUN
cana-1998	307	11	)	)	PUNCT
cana-1998	307	12	,	,	PUNCT
cana-1998	307	13	νυ(ð	νυ(ð	NUM
cana-1998	307	14	)	)	PUNCT
cana-1998	307	15	·	·	PUNCT
cana-1998	308	1	ei2πγυ(ð	ei2πγυ(ð	PROPN
cana-1998	308	2	)	)	PUNCT
cana-1998	308	3	}	}	PUNCT
cana-1998	308	4	and	and	CCONJ
cana-1998	308	5	νυ((~	νυ((~	VERB
cana-1998	308	6	�	�	X
cana-1998	308	7	3	3	NUM
cana-1998	308	8	ð	ð	NUM
cana-1998	308	9	)	)	PUNCT
cana-1998	308	10	)	)	PUNCT
cana-1998	308	11	·	·	PUNCT
cana-1998	309	1	ei2πγυ((~	ei2πγυ((~	X
cana-1998	309	2	�	�	NOUN
cana-1998	309	3	3ð	3ð	NUM
cana-1998	309	4	)	)	PUNCT
cana-1998	309	5	)	)	PUNCT
cana-1998	309	6	�	�	PROPN
cana-1998	309	7	max{νυ(~	max{νυ(~	PROPN
cana-1998	309	8	)	)	PUNCT
cana-1998	309	9	·	·	PUNCT
cana-1998	309	10	ei2πγυ(~	ei2πγυ(~	NOUN
cana-1998	309	11	)	)	PUNCT
cana-1998	309	12	,	,	PUNCT
cana-1998	309	13	νυ(ð	νυ(ð	NUM
cana-1998	309	14	)	)	PUNCT
cana-1998	309	15	·	·	PUNCT
cana-1998	309	16	ei2πiiυ(ð	ei2πiiυ(ð	NOUN
cana-1998	309	17	}	}	PUNCT
cana-1998	309	18	.	.	PUNCT
cana-1998	310	1	therefore	therefore	ADV
cana-1998	310	2	,	,	PUNCT
cana-1998	310	3	υ	υ	PRON
cana-1998	310	4	is	be	AUX
cana-1998	310	5	a	a	DET
cana-1998	310	6	comcifsbs	comcifsbs	NOUN
cana-1998	310	7	of	of	ADP
cana-1998	310	8	b	b	NOUN
cana-1998	310	9	×b	×b	NOUN
cana-1998	310	10	.	.	PUNCT
cana-1998	311	1	conversely	conversely	ADV
cana-1998	311	2	,	,	PUNCT
cana-1998	311	3	suppose	suppose	VERB
cana-1998	311	4	that	that	SCONJ
cana-1998	311	5	υ	υ	PROPN
cana-1998	311	6	is	be	AUX
cana-1998	311	7	a	a	DET
cana-1998	311	8	comcifsbs	comcifsbs	NOUN
cana-1998	311	9	of	of	ADP
cana-1998	311	10	b×b	b×b	PROPN
cana-1998	311	11	.	.	PUNCT
cana-1998	311	12	let	let	VERB
cana-1998	311	13	~	~	PUNCT
cana-1998	311	14	=	=	SYM
cana-1998	311	15	(	(	PUNCT
cana-1998	311	16	(	(	PUNCT
cana-1998	311	17	~1	~1	X
cana-1998	311	18	,	,	PUNCT
cana-1998	311	19	~2)),ð	~2)),ð	PUNCT
cana-1998	311	20	=	=	SYM
cana-1998	311	21	(	(	PUNCT
cana-1998	311	22	(	(	PUNCT
cana-1998	311	23	ð1,ð2	ð1,ð2	PROPN
cana-1998	311	24	)	)	PUNCT
cana-1998	311	25	)	)	PUNCT
cana-1998	312	1	∈	∈	PROPN
cana-1998	312	2	s	s	PART
cana-1998	312	3	×b	×b	NOUN
cana-1998	312	4	.	.	PUNCT
cana-1998	313	1	now	now	ADV
cana-1998	313	2	,	,	PUNCT
cana-1998	313	3	min{µ̂z((~1	min{µ̂z((~1	PROPN
cana-1998	313	4	�	�	NOUN
cana-1998	313	5	1	1	NUM
cana-1998	313	6	ð1	ð1	NOUN
cana-1998	313	7	)	)	PUNCT
cana-1998	313	8	)	)	PUNCT
cana-1998	313	9	·	·	PUNCT
cana-1998	314	1	ei2π	ei2π	NOUN
cana-1998	314	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	314	3	�	�	PROPN
cana-1998	314	4	1ð1	1ð1	NUM
cana-1998	314	5	)	)	PUNCT
cana-1998	314	6	)	)	PUNCT
cana-1998	314	7	,	,	PUNCT
cana-1998	314	8	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	314	9	�	�	PROPN
cana-1998	314	10	1	1	NUM
cana-1998	314	11	ð2	ð2	NOUN
cana-1998	314	12	)	)	PUNCT
cana-1998	314	13	)	)	PUNCT
cana-1998	314	14	·	·	PUNCT
cana-1998	315	1	ei2π	ei2π	ADP
cana-1998	315	2	̂βz((~2	̂βz((~2	NOUN
cana-1998	315	3	�	�	PROPN
cana-1998	315	4	1ð2	1ð2	NUM
cana-1998	315	5	)	)	PUNCT
cana-1998	315	6	)	)	PUNCT
cana-1998	315	7	}	}	PUNCT
cana-1998	315	8	=	=	SYM
cana-1998	315	9	µ̂υ(~1	µ̂υ(~1	NUM
cana-1998	315	10	�	�	PROPN
cana-1998	315	11	1	1	NUM
cana-1998	315	12	ð1	ð1	NOUN
cana-1998	315	13	,	,	PUNCT
cana-1998	315	14	~2	~2	NOUN
cana-1998	315	15	�	�	PROPN
cana-1998	315	16	1	1	NUM
cana-1998	315	17	ð2	ð2	PROPN
cana-1998	315	18	)	)	PUNCT
cana-1998	315	19	·	·	PUNCT
cana-1998	316	1	ei2π	ei2π	NOUN
cana-1998	316	2	̂βυ(~1	̂βυ(~1	NOUN
cana-1998	316	3	�	�	PROPN
cana-1998	316	4	1ð1,~2	1ð1,~2	NUM
cana-1998	316	5	�	�	NOUN
cana-1998	316	6	1ð2	1ð2	NUM
cana-1998	316	7	)	)	PUNCT
cana-1998	316	8	=	=	SYM
cana-1998	316	9	µ̂υ[((~1	µ̂υ[((~1	PROPN
cana-1998	316	10	,	,	PUNCT
cana-1998	316	11	~2))	~2))	PROPN
cana-1998	316	12	�	�	PROPN
cana-1998	316	13	1	1	NUM
cana-1998	316	14	(	(	PUNCT
cana-1998	316	15	(	(	PUNCT
cana-1998	316	16	ð1,ð2	ð1,ð2	PROPN
cana-1998	316	17	)	)	PUNCT
cana-1998	316	18	)	)	PUNCT
cana-1998	316	19	]	]	PUNCT
cana-1998	316	20	·	·	PUNCT
cana-1998	317	1	ei2π	ei2π	NOUN
cana-1998	317	2	̂iv	̂iv	X
cana-1998	317	3	[	[	X
cana-1998	317	4	(	(	PUNCT
cana-1998	317	5	(	(	PUNCT
cana-1998	317	6	~1,~2))	~1,~2))	NOUN
cana-1998	317	7	�	�	NOUN
cana-1998	317	8	1((ð1,ð2	1((ð1,ð2	NUM
cana-1998	317	9	)	)	PUNCT
cana-1998	317	10	)	)	PUNCT
cana-1998	317	11	]	]	PUNCT
cana-1998	318	1	=	=	PUNCT
cana-1998	318	2	µ̂υ(~	µ̂υ(~	X
cana-1998	318	3	�	�	PROPN
cana-1998	318	4	1	1	NUM
cana-1998	318	5	ð	ð	NUM
cana-1998	318	6	)	)	PUNCT
cana-1998	318	7	·	·	PUNCT
cana-1998	319	1	ei2π	ei2π	ADP
cana-1998	319	2	̂βυ(~	̂βυ(~	PROPN
cana-1998	319	3	�	�	NOUN
cana-1998	319	4	1ð	1ð	NUM
cana-1998	319	5	)	)	PUNCT
cana-1998	319	6	�	�	PROPN
cana-1998	319	7	min{µ̂υ(~	min{µ̂υ(~	NUM
cana-1998	319	8	)	)	PUNCT
cana-1998	319	9	·	·	PUNCT
cana-1998	319	10	ei2πβ̂υ(~	ei2πβ̂υ(~	PROPN
cana-1998	319	11	)	)	PUNCT
cana-1998	319	12	,	,	PUNCT
cana-1998	319	13	µ̂υ(ð	µ̂υ(ð	PROPN
cana-1998	319	14	)	)	PUNCT
cana-1998	319	15	·	·	PUNCT
cana-1998	319	16	ei2πβ̂υ(ð	ei2πβ̂υ(ð	NOUN
cana-1998	319	17	)	)	PUNCT
cana-1998	319	18	}	}	PUNCT
cana-1998	319	19	=	=	SYM
cana-1998	319	20	min{µ̂υ((~1	min{µ̂υ((~1	NOUN
cana-1998	319	21	,	,	PUNCT
cana-1998	319	22	~2	~2	NOUN
cana-1998	319	23	)	)	PUNCT
cana-1998	319	24	)	)	PUNCT
cana-1998	319	25	}	}	PUNCT
cana-1998	319	26	·	·	PUNCT
cana-1998	320	1	ei2π	ei2π	ADV
cana-1998	320	2	̂βυ((~1,~2	̂βυ((~1,~2	NUM
cana-1998	320	3	)	)	PUNCT
cana-1998	320	4	)	)	PUNCT
cana-1998	320	5	}	}	PUNCT
cana-1998	320	6	,	,	PUNCT
cana-1998	320	7	µ̂υ((ð1	µ̂υ((ð1	PROPN
cana-1998	320	8	,	,	PUNCT
cana-1998	320	9	ð2	ð2	PROPN
cana-1998	320	10	)	)	PUNCT
cana-1998	320	11	)	)	PUNCT
cana-1998	320	12	·	·	PUNCT
cana-1998	320	13	ei2πβ̂υ((ð1,ð2	ei2πβ̂υ((ð1,ð2	NOUN
cana-1998	320	14	)	)	PUNCT
cana-1998	320	15	)	)	PUNCT
cana-1998	320	16	}	}	PUNCT
cana-1998	320	17	=	=	SYM
cana-1998	320	18	min{min{µ̂z(~1	min{min{µ̂z(~1	NOUN
cana-1998	320	19	)	)	PUNCT
cana-1998	320	20	·	·	PUNCT
cana-1998	320	21	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	320	22	)	)	PUNCT
cana-1998	320	23	,	,	PUNCT
cana-1998	320	24	µ̂z(~2	µ̂z(~2	NUM
cana-1998	320	25	)	)	PUNCT
cana-1998	320	26	·	·	PUNCT
cana-1998	320	27	ei2πβ̂z(~2)},min{µ̂z(ð1	ei2πβ̂z(~2)},min{µ̂z(ð1	NOUN
cana-1998	320	28	)	)	PUNCT
cana-1998	320	29	·	·	PUNCT
cana-1998	320	30	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	320	31	)	)	PUNCT
cana-1998	320	32	,	,	PUNCT
cana-1998	320	33	µ̂z(ð2	µ̂z(ð2	PROPN
cana-1998	320	34	)	)	PUNCT
cana-1998	320	35	·	·	PUNCT
cana-1998	320	36	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	320	37	)	)	PUNCT
cana-1998	320	38	}	}	PUNCT
cana-1998	320	39	}	}	PUNCT
cana-1998	320	40	if	if	SCONJ
cana-1998	320	41	µ̂z((~1	µ̂z((~1	PROPN
cana-1998	320	42	�	�	PROPN
cana-1998	320	43	1ð1))·ei2π	1ð1))·ei2π	PROPN
cana-1998	320	44	̂βz((~1	̂βz((~1	NOUN
cana-1998	320	45	�	�	PROPN
cana-1998	320	46	1ð1	1ð1	NUM
cana-1998	320	47	)	)	PUNCT
cana-1998	320	48	)	)	PUNCT
cana-1998	320	49	�	�	PROPN
cana-1998	321	1	µ̂z((~2	µ̂z((~2	NUM
cana-1998	321	2	�	�	PROPN
cana-1998	321	3	1ð2))·ei2π	1ð2))·ei2π	PROPN
cana-1998	321	4	̂βz((~2	̂βz((~2	PROPN
cana-1998	321	5	�	�	PROPN
cana-1998	321	6	1ð2	1ð2	NUM
cana-1998	321	7	)	)	PUNCT
cana-1998	321	8	)	)	PUNCT
cana-1998	321	9	,	,	PUNCT
cana-1998	321	10	then	then	ADV
cana-1998	321	11	µ̂z(~1)·ei2πβ̂z(~1	µ̂z(~1)·ei2πβ̂z(~1	PROPN
cana-1998	321	12	)	)	PUNCT
cana-1998	321	13	�	�	PROPN
cana-1998	321	14	µ̂z(~2	µ̂z(~2	NUM
cana-1998	321	15	)	)	PUNCT
cana-1998	321	16	·	·	PUNCT
cana-1998	321	17	ei2πβ̂z(~2	ei2πβ̂z(~2	NUM
cana-1998	321	18	)	)	PUNCT
cana-1998	321	19	and	and	CCONJ
cana-1998	321	20	µ̂z(ð1	µ̂z(ð1	PROPN
cana-1998	321	21	)	)	PUNCT
cana-1998	321	22	·	·	PUNCT
cana-1998	321	23	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	321	24	)	)	PUNCT
cana-1998	321	25	�	�	PROPN
cana-1998	321	26	µ̂z(ð2	µ̂z(ð2	PART
cana-1998	321	27	)	)	PUNCT
cana-1998	321	28	·	·	PUNCT
cana-1998	322	1	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	322	2	)	)	PUNCT
cana-1998	322	3	.	.	PUNCT
cana-1998	323	1	we	we	PRON
cana-1998	323	2	get	get	VERB
cana-1998	323	3	µ̂z((~1	µ̂z((~1	NUM
cana-1998	323	4	�	�	PROPN
cana-1998	323	5	1	1	NUM
cana-1998	323	6	ð1	ð1	NOUN
cana-1998	323	7	)	)	PUNCT
cana-1998	323	8	)	)	PUNCT
cana-1998	323	9	·	·	PUNCT
cana-1998	324	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	324	2	426	426	NUM
cana-1998	324	3	communications	communication	NOUN
cana-1998	324	4	on	on	ADP
cana-1998	324	5	applied	apply	VERB
cana-1998	324	6	nonlinear	nonlinear	ADJ
cana-1998	324	7	analysis	analysis	NOUN
cana-1998	324	8	issn	issn	NOUN
cana-1998	324	9	:	:	PUNCT
cana-1998	324	10	1074	1074	NUM
cana-1998	324	11	-	-	PUNCT
cana-1998	324	12	133x	133x	NUM
cana-1998	324	13	vol	vol	NOUN
cana-1998	324	14	32	32	NUM
cana-1998	324	15	no	no	NOUN
cana-1998	324	16	.	.	NOUN
cana-1998	324	17	3	3	NUM
cana-1998	324	18	(	(	PUNCT
cana-1998	324	19	2025	2025	NUM
cana-1998	324	20	)	)	PUNCT
cana-1998	325	1	ei2π	ei2π	NOUN
cana-1998	325	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	325	3	�	�	PROPN
cana-1998	325	4	1ð1	1ð1	NUM
cana-1998	325	5	)	)	PUNCT
cana-1998	325	6	)	)	PUNCT
cana-1998	325	7	�	�	PROPN
cana-1998	325	8	min{µ̂z(~1	min{µ̂z(~1	PROPN
cana-1998	325	9	)	)	PUNCT
cana-1998	325	10	·	·	PUNCT
cana-1998	325	11	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	325	12	)	)	PUNCT
cana-1998	325	13	,	,	PUNCT
cana-1998	325	14	µ̂z(ð1	µ̂z(ð1	PROPN
cana-1998	325	15	)	)	PUNCT
cana-1998	325	16	·	·	PUNCT
cana-1998	325	17	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	325	18	)	)	PUNCT
cana-1998	325	19	}	}	PUNCT
cana-1998	325	20	for	for	ADP
cana-1998	325	21	all	all	PRON
cana-1998	325	22	~1,ð1	~1,ð1	NOUN
cana-1998	325	23	∈	∈	PROPN
cana-1998	325	24	b	b	NOUN
cana-1998	325	25	,	,	PUNCT
cana-1998	325	26	and	and	CCONJ
cana-1998	325	27	min{µ̂z((~1	min{µ̂z((~1	NUM
cana-1998	325	28	�	�	NOUN
cana-1998	325	29	2ð1	2ð1	NUM
cana-1998	325	30	)	)	PUNCT
cana-1998	325	31	)	)	PUNCT
cana-1998	326	1	·	·	PUNCT
cana-1998	326	2	ei2π	ei2π	NOUN
cana-1998	326	3	̂βz((~1	̂βz((~1	NOUN
cana-1998	326	4	�	�	NOUN
cana-1998	326	5	2ð1	2ð1	NUM
cana-1998	326	6	)	)	PUNCT
cana-1998	326	7	)	)	PUNCT
cana-1998	326	8	,	,	PUNCT
cana-1998	326	9	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	326	10	�	�	X
cana-1998	326	11	2ð2	2ð2	NUM
cana-1998	326	12	)	)	PUNCT
cana-1998	326	13	)	)	PUNCT
cana-1998	327	1	·	·	PUNCT
cana-1998	327	2	ei2π	ei2π	PROPN
cana-1998	327	3	̂βz((~2	̂βz((~2	NOUN
cana-1998	327	4	�	�	PROPN
cana-1998	327	5	2ð2	2ð2	NUM
cana-1998	327	6	)	)	PUNCT
cana-1998	327	7	)	)	PUNCT
cana-1998	327	8	}	}	PUNCT
cana-1998	327	9	�	�	PROPN
cana-1998	327	10	min{min{µ̂z(~1	min{min{µ̂z(~1	PROPN
cana-1998	327	11	)	)	PUNCT
cana-1998	327	12	·	·	PUNCT
cana-1998	328	1	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	328	2	)	)	PUNCT
cana-1998	328	3	,	,	PUNCT
cana-1998	328	4	µ̂z(~2	µ̂z(~2	NUM
cana-1998	328	5	)	)	PUNCT
cana-1998	328	6	·	·	PUNCT
cana-1998	328	7	ei2πβ̂z(~2)},min{µ̂z(ð1	ei2πβ̂z(~2)},min{µ̂z(ð1	NOUN
cana-1998	328	8	)	)	PUNCT
cana-1998	328	9	·	·	PUNCT
cana-1998	329	1	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	329	2	)	)	PUNCT
cana-1998	329	3	,	,	PUNCT
cana-1998	329	4	µ̂z(ð2	µ̂z(ð2	PROPN
cana-1998	329	5	)	)	PUNCT
cana-1998	329	6	·	·	PUNCT
cana-1998	329	7	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	329	8	)	)	PUNCT
cana-1998	329	9	}	}	PUNCT
cana-1998	329	10	}	}	PUNCT
cana-1998	329	11	if	if	SCONJ
cana-1998	329	12	µ̂z((~1	µ̂z((~1	X
cana-1998	329	13	�	�	PROPN
cana-1998	329	14	2	2	NUM
cana-1998	329	15	ð1	ð1	NOUN
cana-1998	329	16	)	)	PUNCT
cana-1998	329	17	)	)	PUNCT
cana-1998	329	18	·	·	PUNCT
cana-1998	330	1	ei2π	ei2π	NOUN
cana-1998	330	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	330	3	�	�	NOUN
cana-1998	330	4	2ð1	2ð1	NUM
cana-1998	330	5	)	)	PUNCT
cana-1998	330	6	)	)	PUNCT
cana-1998	330	7	�	�	PROPN
cana-1998	330	8	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	330	9	�	�	PROPN
cana-1998	330	10	2	2	NUM
cana-1998	330	11	ð2	ð2	NOUN
cana-1998	330	12	)	)	PUNCT
cana-1998	330	13	)	)	PUNCT
cana-1998	330	14	·	·	PUNCT
cana-1998	331	1	ei2π	ei2π	ADP
cana-1998	331	2	̂βz((~2	̂βz((~2	NOUN
cana-1998	331	3	�	�	PROPN
cana-1998	331	4	2ð2)),then	2ð2)),then	PROPN
cana-1998	331	5	µ̂z((~1	µ̂z((~1	PROPN
cana-1998	331	6	�	�	PROPN
cana-1998	331	7	2	2	NUM
cana-1998	331	8	ð1	ð1	NOUN
cana-1998	331	9	)	)	PUNCT
cana-1998	331	10	)	)	PUNCT
cana-1998	331	11	·	·	PUNCT
cana-1998	332	1	ei2π	ei2π	NOUN
cana-1998	332	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	332	3	�	�	NOUN
cana-1998	332	4	2ð1	2ð1	NUM
cana-1998	332	5	)	)	PUNCT
cana-1998	332	6	)	)	PUNCT
cana-1998	332	7	�	�	PROPN
cana-1998	332	8	min{µ̂z(~1	min{µ̂z(~1	PROPN
cana-1998	332	9	)	)	PUNCT
cana-1998	332	10	·	·	PUNCT
cana-1998	332	11	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	332	12	)	)	PUNCT
cana-1998	332	13	,	,	PUNCT
cana-1998	332	14	µ̂z(ð1	µ̂z(ð1	PROPN
cana-1998	332	15	)	)	PUNCT
cana-1998	332	16	·	·	PUNCT
cana-1998	332	17	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	332	18	)	)	PUNCT
cana-1998	332	19	}	}	PUNCT
cana-1998	332	20	.	.	PUNCT
cana-1998	333	1	min{µ̂z((~1	min{µ̂z((~1	NUM
cana-1998	333	2	�	�	PROPN
cana-1998	333	3	3ð1	3ð1	NUM
cana-1998	333	4	)	)	PUNCT
cana-1998	333	5	)	)	PUNCT
cana-1998	334	1	·	·	SYM
cana-1998	334	2	ei2πβ̂z((~1	ei2πβ̂z((~1	NOUN
cana-1998	334	3	�	�	PROPN
cana-1998	334	4	3ð1	3ð1	NUM
cana-1998	334	5	)	)	PUNCT
cana-1998	334	6	)	)	PUNCT
cana-1998	334	7	,	,	PUNCT
cana-1998	334	8	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	334	9	�	�	X
cana-1998	334	10	3ð2	3ð2	NUM
cana-1998	334	11	)	)	PUNCT
cana-1998	334	12	)	)	PUNCT
cana-1998	334	13	·	·	PUNCT
cana-1998	334	14	ei2πβ̂z((~2	ei2πβ̂z((~2	NOUN
cana-1998	334	15	�	�	PROPN
cana-1998	334	16	3ð2	3ð2	NUM
cana-1998	334	17	)	)	PUNCT
cana-1998	334	18	)	)	PUNCT
cana-1998	334	19	}	}	PUNCT
cana-1998	334	20	�	�	PROPN
cana-1998	334	21	min{min{µ̂z(~1	min{min{µ̂z(~1	PROPN
cana-1998	334	22	)	)	PUNCT
cana-1998	334	23	·	·	PUNCT
cana-1998	335	1	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	335	2	)	)	PUNCT
cana-1998	335	3	,	,	PUNCT
cana-1998	335	4	µ̂z(~2	µ̂z(~2	NUM
cana-1998	335	5	)	)	PUNCT
cana-1998	335	6	·	·	PUNCT
cana-1998	335	7	ei2πβ̂z(~2)},min{µ̂z(ð1	ei2πβ̂z(~2)},min{µ̂z(ð1	NOUN
cana-1998	335	8	)	)	PUNCT
cana-1998	335	9	·	·	PUNCT
cana-1998	336	1	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	336	2	)	)	PUNCT
cana-1998	336	3	,	,	PUNCT
cana-1998	336	4	µ̂z(ð2	µ̂z(ð2	PROPN
cana-1998	336	5	)	)	PUNCT
cana-1998	336	6	·	·	PUNCT
cana-1998	336	7	ei2πβ̂z(ð2	ei2πβ̂z(ð2	X
cana-1998	336	8	)	)	PUNCT
cana-1998	336	9	}	}	PUNCT
cana-1998	336	10	}	}	PUNCT
cana-1998	336	11	if	if	SCONJ
cana-1998	336	12	µ̂z((~1	µ̂z((~1	X
cana-1998	336	13	�	�	PROPN
cana-1998	336	14	3	3	NUM
cana-1998	336	15	ð1	ð1	NOUN
cana-1998	336	16	)	)	PUNCT
cana-1998	336	17	)	)	PUNCT
cana-1998	336	18	·	·	PUNCT
cana-1998	337	1	ei2πβ̂z((~1	ei2πβ̂z((~1	NOUN
cana-1998	337	2	�	�	PROPN
cana-1998	337	3	3ð1	3ð1	NUM
cana-1998	337	4	)	)	PUNCT
cana-1998	337	5	)	)	PUNCT
cana-1998	338	1	�	�	PROPN
cana-1998	338	2	µ̂z((~2	µ̂z((~2	PROPN
cana-1998	338	3	�	�	PROPN
cana-1998	338	4	3	3	NUM
cana-1998	338	5	ð2	ð2	NOUN
cana-1998	338	6	)	)	PUNCT
cana-1998	338	7	)	)	PUNCT
cana-1998	338	8	·	·	PUNCT
cana-1998	339	1	ei2πβ̂z((~2	ei2πβ̂z((~2	PROPN
cana-1998	339	2	�	�	PROPN
cana-1998	339	3	3ð2)),then	3ð2)),then	PROPN
cana-1998	339	4	µ̂z((~1	µ̂z((~1	ADJ
cana-1998	339	5	�	�	PROPN
cana-1998	339	6	3	3	NUM
cana-1998	339	7	ð1	ð1	NOUN
cana-1998	339	8	)	)	PUNCT
cana-1998	339	9	)	)	PUNCT
cana-1998	340	1	·	·	PUNCT
cana-1998	340	2	ei2πβ̂z((~1	ei2πβ̂z((~1	NOUN
cana-1998	340	3	�	�	PROPN
cana-1998	340	4	3ð1	3ð1	NUM
cana-1998	340	5	)	)	PUNCT
cana-1998	340	6	)	)	PUNCT
cana-1998	340	7	�	�	PROPN
cana-1998	340	8	min{µ̂z(~1	min{µ̂z(~1	PROPN
cana-1998	340	9	)	)	PUNCT
cana-1998	340	10	·	·	PUNCT
cana-1998	340	11	ei2πβ̂z(~1	ei2πβ̂z(~1	NUM
cana-1998	340	12	)	)	PUNCT
cana-1998	340	13	,	,	PUNCT
cana-1998	340	14	µ̂z(ð1	µ̂z(ð1	PROPN
cana-1998	340	15	)	)	PUNCT
cana-1998	340	16	·	·	PUNCT
cana-1998	340	17	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	340	18	)	)	PUNCT
cana-1998	340	19	}	}	PUNCT
cana-1998	340	20	.	.	PUNCT
cana-1998	341	1	similarly	similarly	ADV
cana-1998	341	2	to	to	PART
cana-1998	341	3	prove	prove	VERB
cana-1998	341	4	that	that	SCONJ
cana-1998	341	5	max{ν̂z((~1	max{ν̂z((~1	PROPN
cana-1998	341	6	�	�	PROPN
cana-1998	341	7	1ð1))·ei2π	1ð1))·ei2π	PROPN
cana-1998	341	8	̂γz((~1	̂γz((~1	NOUN
cana-1998	341	9	�	�	PROPN
cana-1998	341	10	1ð1	1ð1	NUM
cana-1998	341	11	)	)	PUNCT
cana-1998	341	12	)	)	PUNCT
cana-1998	341	13	,	,	PUNCT
cana-1998	341	14	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	341	15	�	�	PROPN
cana-1998	341	16	1ð2))·ei2π	1ð2))·ei2π	PROPN
cana-1998	341	17	̂γz((~2	̂γz((~2	NOUN
cana-1998	341	18	�	�	NOUN
cana-1998	341	19	1ð2	1ð2	NUM
cana-1998	341	20	)	)	PUNCT
cana-1998	341	21	)	)	PUNCT
cana-1998	341	22	}	}	PUNCT
cana-1998	341	23	�	�	PROPN
cana-1998	341	24	max{max{ν̂z(~1)·ei2πγ̂z(~1	max{max{ν̂z(~1)·ei2πγ̂z(~1	PROPN
cana-1998	341	25	)	)	PUNCT
cana-1998	341	26	,	,	PUNCT
cana-1998	341	27	ν̂z(~2)·ei2πγ̂z(~2)},max{ν̂z(ð1)·ei2πγ̂z(ð1	ν̂z(~2)·ei2πγ̂z(~2)},max{ν̂z(ð1)·ei2πγ̂z(ð1	PROPN
cana-1998	341	28	)	)	PUNCT
cana-1998	341	29	,	,	PUNCT
cana-1998	341	30	ν̂z(ð2)·ei2πγ̂z(ð2	ν̂z(ð2)·ei2πγ̂z(ð2	PROPN
cana-1998	341	31	)	)	PUNCT
cana-1998	341	32	}	}	PUNCT
cana-1998	341	33	}	}	PUNCT
cana-1998	341	34	if	if	SCONJ
cana-1998	341	35	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	341	36	�	�	PROPN
cana-1998	341	37	1ð1	1ð1	NUM
cana-1998	341	38	)	)	PUNCT
cana-1998	341	39	)	)	PUNCT
cana-1998	342	1	·	·	PUNCT
cana-1998	343	1	ei2π	ei2π	NOUN
cana-1998	343	2	̂γz((~1	̂γz((~1	NUM
cana-1998	343	3	�	�	PROPN
cana-1998	343	4	1ð1	1ð1	NUM
cana-1998	343	5	)	)	PUNCT
cana-1998	343	6	)	)	PUNCT
cana-1998	343	7	�	�	PROPN
cana-1998	343	8	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	343	9	�	�	PROPN
cana-1998	343	10	1ð2	1ð2	NUM
cana-1998	343	11	)	)	PUNCT
cana-1998	343	12	)	)	PUNCT
cana-1998	344	1	·	·	PUNCT
cana-1998	344	2	ei2π	ei2π	PROPN
cana-1998	344	3	̂γz((~2	̂γz((~2	NOUN
cana-1998	344	4	�	�	PROPN
cana-1998	344	5	1ð2)),then	1ð2)),then	PROPN
cana-1998	344	6	ν̂z(~1	ν̂z(~1	PROPN
cana-1998	344	7	)	)	PUNCT
cana-1998	344	8	·	·	SYM
cana-1998	344	9	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	344	10	)	)	PUNCT
cana-1998	344	11	�	�	PROPN
cana-1998	344	12	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	344	13	)	)	PUNCT
cana-1998	344	14	·	·	PUNCT
cana-1998	344	15	ei2πγ̂z(~2	ei2πγ̂z(~2	NUM
cana-1998	344	16	)	)	PUNCT
cana-1998	344	17	and	and	CCONJ
cana-1998	344	18	ν̂z(ð1	ν̂z(ð1	PROPN
cana-1998	344	19	)	)	PUNCT
cana-1998	344	20	·	·	PUNCT
cana-1998	344	21	ei2πγ̂z(ð1	ei2πγ̂z(ð1	PROPN
cana-1998	344	22	)	)	PUNCT
cana-1998	344	23	�	�	PROPN
cana-1998	344	24	ν̂z(ð2	ν̂z(ð2	PROPN
cana-1998	344	25	)	)	PUNCT
cana-1998	344	26	·	·	PUNCT
cana-1998	344	27	ei2πγ̂z(ð2	ei2πγ̂z(ð2	NOUN
cana-1998	344	28	)	)	PUNCT
cana-1998	344	29	.	.	PUNCT
cana-1998	345	1	we	we	PRON
cana-1998	345	2	get	get	VERB
cana-1998	345	3	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	345	4	�	�	PROPN
cana-1998	345	5	1	1	NUM
cana-1998	345	6	ð1	ð1	NOUN
cana-1998	345	7	)	)	PUNCT
cana-1998	345	8	)	)	PUNCT
cana-1998	345	9	·	·	PUNCT
cana-1998	346	1	ei2π	ei2π	NOUN
cana-1998	346	2	̂γz((~1	̂γz((~1	NUM
cana-1998	346	3	�	�	PROPN
cana-1998	346	4	1ð1	1ð1	NUM
cana-1998	346	5	)	)	PUNCT
cana-1998	346	6	)	)	PUNCT
cana-1998	346	7	�	�	PROPN
cana-1998	346	8	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	346	9	)	)	PUNCT
cana-1998	346	10	·	·	PUNCT
cana-1998	346	11	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	346	12	)	)	PUNCT
cana-1998	346	13	,	,	PUNCT
cana-1998	346	14	ν̂z(ð1	ν̂z(ð1	PROPN
cana-1998	346	15	)	)	PUNCT
cana-1998	346	16	·	·	PUNCT
cana-1998	346	17	ei2πγ̂z(ð1	ei2πγ̂z(ð1	NOUN
cana-1998	346	18	)	)	PUNCT
cana-1998	346	19	}	}	PUNCT
cana-1998	346	20	.	.	PUNCT
cana-1998	347	1	max{ν̂z((~1	max{ν̂z((~1	NUM
cana-1998	347	2	�	�	PROPN
cana-1998	347	3	2	2	NUM
cana-1998	347	4	ð1	ð1	NOUN
cana-1998	347	5	)	)	PUNCT
cana-1998	347	6	)	)	PUNCT
cana-1998	347	7	·	·	PUNCT
cana-1998	348	1	ei2π	ei2π	NOUN
cana-1998	348	2	̂γz((~1	̂γz((~1	NUM
cana-1998	348	3	�	�	NOUN
cana-1998	348	4	2ð1	2ð1	NUM
cana-1998	348	5	)	)	PUNCT
cana-1998	348	6	)	)	PUNCT
cana-1998	348	7	,	,	PUNCT
cana-1998	348	8	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	348	9	�	�	PROPN
cana-1998	348	10	2	2	NUM
cana-1998	348	11	ð2	ð2	NOUN
cana-1998	348	12	)	)	PUNCT
cana-1998	348	13	)	)	PUNCT
cana-1998	348	14	·	·	PUNCT
cana-1998	349	1	ei2π	ei2π	ADP
cana-1998	349	2	̂γz((~2	̂γz((~2	NOUN
cana-1998	349	3	�	�	NOUN
cana-1998	349	4	2ð2	2ð2	NUM
cana-1998	349	5	)	)	PUNCT
cana-1998	349	6	)	)	PUNCT
cana-1998	349	7	}	}	PUNCT
cana-1998	349	8	�	�	PROPN
cana-1998	349	9	max{max{ν̂z(~1)·ei2πγ̂z(~1	max{max{ν̂z(~1)·ei2πγ̂z(~1	PROPN
cana-1998	349	10	)	)	PUNCT
cana-1998	349	11	,	,	PUNCT
cana-1998	349	12	ν̂z(~2)·ei2πγ̂z(~2)},max{ν̂z(ð1)·ei2πγ̂z(ð1	ν̂z(~2)·ei2πγ̂z(~2)},max{ν̂z(ð1)·ei2πγ̂z(ð1	PROPN
cana-1998	349	13	)	)	PUNCT
cana-1998	349	14	,	,	PUNCT
cana-1998	349	15	ν̂z(ð2)·ei2πγ̂z	ν̂z(ð2)·ei2πγ̂z	ADJ
cana-1998	349	16	}	}	PUNCT
cana-1998	349	17	}	}	PUNCT
cana-1998	349	18	if	if	SCONJ
cana-1998	349	19	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	349	20	�	�	PROPN
cana-1998	349	21	2	2	NUM
cana-1998	349	22	ð1	ð1	NOUN
cana-1998	349	23	)	)	PUNCT
cana-1998	349	24	)	)	PUNCT
cana-1998	349	25	·	·	PUNCT
cana-1998	350	1	ei2π	ei2π	NOUN
cana-1998	350	2	̂γz((~1	̂γz((~1	NUM
cana-1998	350	3	�	�	NOUN
cana-1998	350	4	2ð1	2ð1	NUM
cana-1998	350	5	)	)	PUNCT
cana-1998	350	6	)	)	PUNCT
cana-1998	350	7	�	�	PROPN
cana-1998	350	8	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	350	9	�	�	PROPN
cana-1998	350	10	2	2	NUM
cana-1998	350	11	ð2	ð2	NOUN
cana-1998	350	12	)	)	PUNCT
cana-1998	350	13	)	)	PUNCT
cana-1998	350	14	·	·	PUNCT
cana-1998	351	1	ei2π	ei2π	ADP
cana-1998	351	2	̂γz((~2	̂γz((~2	NOUN
cana-1998	351	3	�	�	PROPN
cana-1998	351	4	2ð2)),then	2ð2)),then	PROPN
cana-1998	351	5	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	351	6	�	�	PROPN
cana-1998	351	7	2	2	NUM
cana-1998	351	8	ð1	ð1	NOUN
cana-1998	351	9	)	)	PUNCT
cana-1998	351	10	)	)	PUNCT
cana-1998	351	11	·	·	PUNCT
cana-1998	352	1	ei2π	ei2π	NOUN
cana-1998	352	2	̂γz((~1	̂γz((~1	NUM
cana-1998	352	3	�	�	NOUN
cana-1998	352	4	2ð1	2ð1	NUM
cana-1998	352	5	)	)	PUNCT
cana-1998	352	6	)	)	PUNCT
cana-1998	352	7	�	�	PROPN
cana-1998	352	8	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	352	9	)	)	PUNCT
cana-1998	352	10	·	·	PUNCT
cana-1998	352	11	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	352	12	)	)	PUNCT
cana-1998	352	13	,	,	PUNCT
cana-1998	352	14	ν̂z(ð1	ν̂z(ð1	PROPN
cana-1998	352	15	)	)	PUNCT
cana-1998	352	16	·	·	PUNCT
cana-1998	352	17	ei2πγ̂z(ð1	ei2πγ̂z(ð1	NOUN
cana-1998	352	18	)	)	PUNCT
cana-1998	352	19	}	}	PUNCT
cana-1998	352	20	.	.	PUNCT
cana-1998	353	1	max{ν̂z((~1	max{ν̂z((~1	NOUN
cana-1998	353	2	�	�	PROPN
cana-1998	353	3	3ð1	3ð1	NUM
cana-1998	353	4	)	)	PUNCT
cana-1998	353	5	)	)	PUNCT
cana-1998	354	1	·	·	PUNCT
cana-1998	355	1	ei2π	ei2π	NOUN
cana-1998	355	2	̂γz((~1	̂γz((~1	NUM
cana-1998	355	3	�	�	PROPN
cana-1998	355	4	3ð1	3ð1	NUM
cana-1998	355	5	)	)	PUNCT
cana-1998	355	6	)	)	PUNCT
cana-1998	355	7	,	,	PUNCT
cana-1998	355	8	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	355	9	�	�	X
cana-1998	355	10	3ð2	3ð2	NUM
cana-1998	355	11	)	)	PUNCT
cana-1998	355	12	)	)	PUNCT
cana-1998	355	13	·	·	PUNCT
cana-1998	355	14	ei2π	ei2π	PROPN
cana-1998	355	15	̂γz((~2	̂γz((~2	NOUN
cana-1998	355	16	�	�	NOUN
cana-1998	355	17	3ð2	3ð2	NUM
cana-1998	355	18	)	)	PUNCT
cana-1998	355	19	)	)	PUNCT
cana-1998	355	20	}	}	PUNCT
cana-1998	355	21	�	�	PROPN
cana-1998	355	22	max{max{ν̂z(~1	max{max{ν̂z(~1	NOUN
cana-1998	355	23	)	)	PUNCT
cana-1998	355	24	·	·	PUNCT
cana-1998	355	25	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	355	26	)	)	PUNCT
cana-1998	355	27	,	,	PUNCT
cana-1998	355	28	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	355	29	)	)	PUNCT
cana-1998	355	30	·	·	PUNCT
cana-1998	355	31	ei2πγ̂z(~2)},max{ν̂z(ð1	ei2πγ̂z(~2)},max{ν̂z(ð1	NOUN
cana-1998	355	32	)	)	PUNCT
cana-1998	355	33	·	·	PUNCT
cana-1998	355	34	ei2πγ̂z(ð1	ei2πγ̂z(ð1	NOUN
cana-1998	355	35	)	)	PUNCT
cana-1998	355	36	,	,	PUNCT
cana-1998	355	37	ν̂z(ð2	ν̂z(ð2	PROPN
cana-1998	355	38	)	)	PUNCT
cana-1998	355	39	·	·	PUNCT
cana-1998	355	40	ei2πγ̂z(ð2	ei2πγ̂z(ð2	NOUN
cana-1998	355	41	)	)	PUNCT
cana-1998	355	42	}	}	PUNCT
cana-1998	355	43	}	}	PUNCT
cana-1998	355	44	if	if	SCONJ
cana-1998	355	45	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	355	46	�	�	PROPN
cana-1998	355	47	3	3	NUM
cana-1998	355	48	ð1	ð1	NOUN
cana-1998	355	49	)	)	PUNCT
cana-1998	355	50	)	)	PUNCT
cana-1998	355	51	·	·	PUNCT
cana-1998	356	1	ei2π	ei2π	NOUN
cana-1998	356	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	356	3	�	�	PROPN
cana-1998	356	4	3ð1	3ð1	NUM
cana-1998	356	5	)	)	PUNCT
cana-1998	356	6	)	)	PUNCT
cana-1998	356	7	�	�	PROPN
cana-1998	356	8	ν̂z((~2	ν̂z((~2	PROPN
cana-1998	356	9	�	�	PROPN
cana-1998	356	10	3	3	NUM
cana-1998	356	11	ð2	ð2	NOUN
cana-1998	356	12	)	)	PUNCT
cana-1998	356	13	)	)	PUNCT
cana-1998	356	14	·	·	PUNCT
cana-1998	357	1	ei2π	ei2π	ADP
cana-1998	357	2	̂βz((~2	̂βz((~2	NOUN
cana-1998	357	3	�	�	PROPN
cana-1998	357	4	3ð2)),then	3ð2)),then	PROPN
cana-1998	357	5	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	357	6	�	�	PROPN
cana-1998	357	7	3	3	NUM
cana-1998	357	8	ð1	ð1	NOUN
cana-1998	357	9	)	)	PUNCT
cana-1998	357	10	)	)	PUNCT
cana-1998	357	11	·	·	PUNCT
cana-1998	358	1	ei2π	ei2π	NOUN
cana-1998	358	2	̂βz((~1	̂βz((~1	NOUN
cana-1998	358	3	�	�	PROPN
cana-1998	358	4	3ð1	3ð1	NUM
cana-1998	358	5	)	)	PUNCT
cana-1998	358	6	)	)	PUNCT
cana-1998	358	7	�	�	PROPN
cana-1998	358	8	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	358	9	)	)	PUNCT
cana-1998	358	10	·	·	PUNCT
cana-1998	358	11	ei2πγ̂z(~1	ei2πγ̂z(~1	NUM
cana-1998	358	12	)	)	PUNCT
cana-1998	358	13	,	,	PUNCT
cana-1998	358	14	ν̂z(ð1	ν̂z(ð1	PROPN
cana-1998	358	15	)	)	PUNCT
cana-1998	358	16	·	·	PUNCT
cana-1998	358	17	ei2πβ̂z(ð1	ei2πβ̂z(ð1	PROPN
cana-1998	358	18	)	)	PUNCT
cana-1998	358	19	}	}	PUNCT
cana-1998	358	20	.	.	PUNCT
cana-1998	359	1	let	let	VERB
cana-1998	359	2	~	~	PUNCT
cana-1998	359	3	=	=	SYM
cana-1998	359	4	(	(	PUNCT
cana-1998	359	5	(	(	PUNCT
cana-1998	359	6	~1	~1	X
cana-1998	359	7	,	,	PUNCT
cana-1998	359	8	~2)),ð	~2)),ð	PUNCT
cana-1998	359	9	=	=	SYM
cana-1998	359	10	(	(	PUNCT
cana-1998	359	11	(	(	PUNCT
cana-1998	359	12	ð1,ð2	ð1,ð2	PROPN
cana-1998	359	13	)	)	PUNCT
cana-1998	359	14	)	)	PUNCT
cana-1998	360	1	∈	∈	PROPN
cana-1998	360	2	s	s	PART
cana-1998	360	3	×b	×b	NOUN
cana-1998	360	4	.	.	PUNCT
cana-1998	361	1	now	now	ADV
cana-1998	361	2	,	,	PUNCT
cana-1998	361	3	min{µz((~1	min{µz((~1	PROPN
cana-1998	361	4	�	�	PROPN
cana-1998	361	5	1	1	NUM
cana-1998	361	6	ð1	ð1	NOUN
cana-1998	361	7	)	)	PUNCT
cana-1998	361	8	)	)	PUNCT
cana-1998	362	1	·	·	PUNCT
cana-1998	362	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	362	3	�	�	PROPN
cana-1998	362	4	1ð1	1ð1	NUM
cana-1998	362	5	)	)	PUNCT
cana-1998	362	6	)	)	PUNCT
cana-1998	362	7	,	,	PUNCT
cana-1998	362	8	µz((~2	µz((~2	X
cana-1998	362	9	�	�	PROPN
cana-1998	362	10	1	1	NUM
cana-1998	362	11	ð2	ð2	NOUN
cana-1998	362	12	)	)	PUNCT
cana-1998	362	13	)	)	PUNCT
cana-1998	362	14	·	·	PUNCT
cana-1998	362	15	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	362	16	�	�	PROPN
cana-1998	362	17	1ð2	1ð2	NUM
cana-1998	362	18	)	)	PUNCT
cana-1998	362	19	)	)	PUNCT
cana-1998	362	20	}	}	PUNCT
cana-1998	362	21	=	=	NOUN
cana-1998	362	22	µυ(~1	µυ(~1	NOUN
cana-1998	362	23	�	�	PROPN
cana-1998	362	24	1	1	NUM
cana-1998	362	25	ð1	ð1	NOUN
cana-1998	362	26	,	,	PUNCT
cana-1998	362	27	~2	~2	NOUN
cana-1998	362	28	�	�	PROPN
cana-1998	362	29	1	1	NUM
cana-1998	362	30	ð2	ð2	PROPN
cana-1998	362	31	)	)	PUNCT
cana-1998	362	32	·	·	PUNCT
cana-1998	362	33	ei2πβυ(~1	ei2πβυ(~1	NOUN
cana-1998	362	34	�	�	PROPN
cana-1998	362	35	1ð1,~2	1ð1,~2	NUM
cana-1998	362	36	�	�	NOUN
cana-1998	362	37	1ð2	1ð2	NUM
cana-1998	362	38	)	)	PUNCT
cana-1998	362	39	=	=	SYM
cana-1998	362	40	µυ[((~1	µυ[((~1	PROPN
cana-1998	362	41	,	,	PUNCT
cana-1998	362	42	~2))	~2))	PROPN
cana-1998	362	43	�	�	PROPN
cana-1998	362	44	1	1	NUM
cana-1998	362	45	(	(	PUNCT
cana-1998	362	46	(	(	PUNCT
cana-1998	362	47	ð1,ð2	ð1,ð2	PROPN
cana-1998	362	48	)	)	PUNCT
cana-1998	362	49	)	)	PUNCT
cana-1998	362	50	]	]	PUNCT
cana-1998	363	1	·	·	PUNCT
cana-1998	363	2	ei2πiv	ei2πiv	PROPN
cana-1998	364	1	[	[	X
cana-1998	364	2	(	(	PUNCT
cana-1998	364	3	(	(	PUNCT
cana-1998	364	4	~1,~2))	~1,~2))	NOUN
cana-1998	364	5	�	�	NOUN
cana-1998	364	6	1((ð1,ð2	1((ð1,ð2	NUM
cana-1998	364	7	)	)	PUNCT
cana-1998	364	8	)	)	PUNCT
cana-1998	364	9	]	]	PUNCT
cana-1998	365	1	=	=	PUNCT
cana-1998	365	2	µυ(~	µυ(~	SYM
cana-1998	365	3	�	�	PROPN
cana-1998	365	4	1	1	NUM
cana-1998	365	5	ð	ð	X
cana-1998	365	6	)	)	PUNCT
cana-1998	365	7	·	·	PUNCT
cana-1998	365	8	ei2πβυ(~	ei2πβυ(~	PROPN
cana-1998	365	9	�	�	PROPN
cana-1998	365	10	1ð	1ð	NUM
cana-1998	365	11	)	)	PUNCT
cana-1998	365	12	�	�	PROPN
cana-1998	365	13	min{µυ(~	min{µυ(~	PROPN
cana-1998	365	14	)	)	PUNCT
cana-1998	365	15	·	·	PUNCT
cana-1998	365	16	ei2πβυ(~	ei2πβυ(~	X
cana-1998	365	17	)	)	PUNCT
cana-1998	365	18	,	,	PUNCT
cana-1998	365	19	µυ(ð	µυ(ð	NOUN
cana-1998	365	20	)	)	PUNCT
cana-1998	365	21	·	·	PUNCT
cana-1998	365	22	ei2πβυ(ð	ei2πβυ(ð	PROPN
cana-1998	365	23	)	)	PUNCT
cana-1998	365	24	}	}	PUNCT
cana-1998	365	25	=	=	SYM
cana-1998	365	26	min{µυ((~1	min{µυ((~1	NOUN
cana-1998	365	27	,	,	PUNCT
cana-1998	365	28	~2	~2	NOUN
cana-1998	365	29	)	)	PUNCT
cana-1998	365	30	)	)	PUNCT
cana-1998	365	31	}	}	PUNCT
cana-1998	365	32	·	·	PUNCT
cana-1998	365	33	ei2πβυ((~1,~2	ei2πβυ((~1,~2	NOUN
cana-1998	365	34	)	)	PUNCT
cana-1998	365	35	)	)	PUNCT
cana-1998	365	36	}	}	PUNCT
cana-1998	365	37	,	,	PUNCT
cana-1998	365	38	µυ((ð1,ð2	µυ((ð1,ð2	NOUN
cana-1998	365	39	)	)	PUNCT
cana-1998	365	40	)	)	PUNCT
cana-1998	365	41	·	·	PUNCT
cana-1998	366	1	ei2πβυ((ð1,ð2	ei2πβυ((ð1,ð2	NUM
cana-1998	366	2	)	)	PUNCT
cana-1998	366	3	)	)	PUNCT
cana-1998	366	4	}	}	PUNCT
cana-1998	366	5	=	=	PUNCT
cana-1998	366	6	min{min{µz(~1	min{min{µz(~1	NOUN
cana-1998	366	7	)	)	PUNCT
cana-1998	366	8	·	·	PUNCT
cana-1998	366	9	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	366	10	)	)	PUNCT
cana-1998	366	11	,	,	PUNCT
cana-1998	366	12	µz(~2	µz(~2	NOUN
cana-1998	366	13	)	)	PUNCT
cana-1998	366	14	·	·	PUNCT
cana-1998	367	1	ei2πβz(~2)},min{µz(ð1	ei2πβz(~2)},min{µz(ð1	NUM
cana-1998	367	2	)	)	PUNCT
cana-1998	367	3	·	·	PUNCT
cana-1998	367	4	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	367	5	)	)	PUNCT
cana-1998	367	6	,	,	PUNCT
cana-1998	367	7	µz(ð2	µz(ð2	X
cana-1998	367	8	)	)	PUNCT
cana-1998	367	9	·	·	PUNCT
cana-1998	367	10	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	367	11	)	)	PUNCT
cana-1998	367	12	}	}	PUNCT
cana-1998	367	13	}	}	PUNCT
cana-1998	367	14	if	if	SCONJ
cana-1998	367	15	µz((~1	µz((~1	VERB
cana-1998	367	16	�	�	PROPN
cana-1998	367	17	1ð1))·ei2πβz((~1	1ð1))·ei2πβz((~1	NUM
cana-1998	367	18	�	�	PROPN
cana-1998	367	19	1ð1	1ð1	NUM
cana-1998	367	20	)	)	PUNCT
cana-1998	367	21	)	)	PUNCT
cana-1998	367	22	�	�	PROPN
cana-1998	367	23	µz((~2	µz((~2	NOUN
cana-1998	367	24	�	�	PROPN
cana-1998	367	25	1ð2))·ei2πβz((~2	1ð2))·ei2πβz((~2	NUM
cana-1998	367	26	�	�	NOUN
cana-1998	367	27	1ð2	1ð2	NUM
cana-1998	367	28	)	)	PUNCT
cana-1998	367	29	)	)	PUNCT
cana-1998	367	30	,	,	PUNCT
cana-1998	367	31	then	then	ADV
cana-1998	367	32	µz(~1)·ei2πβz(~1	µz(~1)·ei2πβz(~1	NUM
cana-1998	367	33	)	)	PUNCT
cana-1998	367	34	�	�	PROPN
cana-1998	367	35	µz(~2	µz(~2	NOUN
cana-1998	367	36	)	)	PUNCT
cana-1998	367	37	·	·	PUNCT
cana-1998	368	1	ei2πβz(~2	ei2πβz(~2	ADV
cana-1998	368	2	)	)	PUNCT
cana-1998	368	3	and	and	CCONJ
cana-1998	368	4	µz(ð1	µz(ð1	NOUN
cana-1998	368	5	)	)	PUNCT
cana-1998	368	6	·	·	PUNCT
cana-1998	368	7	ei2πβz(ð1	ei2πβz(ð1	ADJ
cana-1998	368	8	)	)	PUNCT
cana-1998	368	9	�	�	PROPN
cana-1998	368	10	µz(ð2	µz(ð2	PROPN
cana-1998	368	11	)	)	PUNCT
cana-1998	368	12	·	·	PUNCT
cana-1998	368	13	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	368	14	)	)	PUNCT
cana-1998	368	15	.	.	PUNCT
cana-1998	369	1	we	we	PRON
cana-1998	369	2	get	get	VERB
cana-1998	369	3	µz((~1	µz((~1	PUNCT
cana-1998	369	4	�	�	PROPN
cana-1998	369	5	1	1	NUM
cana-1998	369	6	ð1	ð1	NOUN
cana-1998	369	7	)	)	PUNCT
cana-1998	369	8	)	)	PUNCT
cana-1998	370	1	·	·	PUNCT
cana-1998	370	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	370	3	�	�	PROPN
cana-1998	370	4	1ð1	1ð1	NUM
cana-1998	370	5	)	)	PUNCT
cana-1998	370	6	)	)	PUNCT
cana-1998	370	7	�	�	PROPN
cana-1998	370	8	min{µz(~1	min{µz(~1	NUM
cana-1998	370	9	)	)	PUNCT
cana-1998	370	10	·	·	PUNCT
cana-1998	370	11	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	370	12	)	)	PUNCT
cana-1998	370	13	,	,	PUNCT
cana-1998	370	14	µz(ð1	µz(ð1	NOUN
cana-1998	370	15	)	)	PUNCT
cana-1998	370	16	·	·	PUNCT
cana-1998	370	17	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	370	18	)	)	PUNCT
cana-1998	370	19	}	}	PUNCT
cana-1998	370	20	for	for	ADP
cana-1998	370	21	all	all	DET
cana-1998	370	22	~1,ð1	~1,ð1	NOUN
cana-1998	370	23	∈	∈	PROPN
cana-1998	370	24	b	b	NOUN
cana-1998	370	25	,	,	PUNCT
cana-1998	370	26	and	and	CCONJ
cana-1998	370	27	min{µz((~1	min{µz((~1	NOUN
cana-1998	370	28	�	�	NOUN
cana-1998	370	29	2ð1	2ð1	NUM
cana-1998	370	30	)	)	PUNCT
cana-1998	370	31	)	)	PUNCT
cana-1998	370	32	·	·	PUNCT
cana-1998	370	33	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	370	34	�	�	NOUN
cana-1998	370	35	2ð1	2ð1	NUM
cana-1998	370	36	)	)	PUNCT
cana-1998	370	37	)	)	PUNCT
cana-1998	370	38	,	,	PUNCT
cana-1998	370	39	µz((~2	µz((~2	NOUN
cana-1998	370	40	�	�	X
cana-1998	370	41	2ð2	2ð2	NUM
cana-1998	370	42	)	)	PUNCT
cana-1998	370	43	)	)	PUNCT
cana-1998	370	44	·	·	PUNCT
cana-1998	370	45	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	370	46	�	�	PROPN
cana-1998	370	47	2ð2	2ð2	NUM
cana-1998	370	48	)	)	PUNCT
cana-1998	370	49	)	)	PUNCT
cana-1998	370	50	}	}	PUNCT
cana-1998	370	51	�	�	PROPN
cana-1998	370	52	min{min{µz(~1	min{min{µz(~1	PROPN
cana-1998	370	53	)	)	PUNCT
cana-1998	370	54	·	·	PUNCT
cana-1998	370	55	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	370	56	)	)	PUNCT
cana-1998	370	57	,	,	PUNCT
cana-1998	370	58	µz(~2	µz(~2	NOUN
cana-1998	370	59	)	)	PUNCT
cana-1998	370	60	·	·	PUNCT
cana-1998	370	61	ei2πβz(~2)},min{µz(ð1	ei2πβz(~2)},min{µz(ð1	NUM
cana-1998	370	62	)	)	PUNCT
cana-1998	370	63	·	·	PUNCT
cana-1998	370	64	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	370	65	)	)	PUNCT
cana-1998	370	66	,	,	PUNCT
cana-1998	370	67	µz(ð2	µz(ð2	X
cana-1998	370	68	)	)	PUNCT
cana-1998	370	69	·	·	PUNCT
cana-1998	370	70	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	370	71	)	)	PUNCT
cana-1998	370	72	}	}	PUNCT
cana-1998	370	73	}	}	PUNCT
cana-1998	370	74	if	if	SCONJ
cana-1998	370	75	µz((~1	µz((~1	PUNCT
cana-1998	370	76	�	�	PROPN
cana-1998	370	77	2	2	NUM
cana-1998	370	78	ð1	ð1	NOUN
cana-1998	370	79	)	)	PUNCT
cana-1998	370	80	)	)	PUNCT
cana-1998	370	81	·	·	PUNCT
cana-1998	370	82	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	370	83	�	�	NOUN
cana-1998	370	84	2ð1	2ð1	NUM
cana-1998	370	85	)	)	PUNCT
cana-1998	370	86	)	)	PUNCT
cana-1998	370	87	�	�	PROPN
cana-1998	370	88	µz((~2	µz((~2	PUNCT
cana-1998	370	89	�	�	PROPN
cana-1998	370	90	2	2	NUM
cana-1998	370	91	ð2	ð2	NOUN
cana-1998	370	92	)	)	PUNCT
cana-1998	370	93	)	)	PUNCT
cana-1998	370	94	·	·	PUNCT
cana-1998	370	95	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	370	96	�	�	PROPN
cana-1998	370	97	2ð2)),then	2ð2)),then	PROPN
cana-1998	370	98	µz((~1	µz((~1	PUNCT
cana-1998	370	99	�	�	PROPN
cana-1998	370	100	2	2	NUM
cana-1998	370	101	ð1	ð1	NOUN
cana-1998	370	102	)	)	PUNCT
cana-1998	370	103	)	)	PUNCT
cana-1998	370	104	·	·	PUNCT
cana-1998	370	105	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	370	106	�	�	NOUN
cana-1998	370	107	2ð1	2ð1	NUM
cana-1998	370	108	)	)	PUNCT
cana-1998	370	109	)	)	PUNCT
cana-1998	370	110	�	�	PROPN
cana-1998	370	111	min{µz(~1	min{µz(~1	NUM
cana-1998	370	112	)	)	PUNCT
cana-1998	370	113	·	·	PUNCT
cana-1998	371	1	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	371	2	)	)	PUNCT
cana-1998	371	3	,	,	PUNCT
cana-1998	371	4	µz(ð1	µz(ð1	NOUN
cana-1998	371	5	)	)	PUNCT
cana-1998	371	6	·	·	PUNCT
cana-1998	371	7	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	371	8	)	)	PUNCT
cana-1998	371	9	}	}	PUNCT
cana-1998	371	10	.	.	PUNCT
cana-1998	372	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	372	2	427	427	NUM
cana-1998	372	3	communications	communication	NOUN
cana-1998	372	4	on	on	ADP
cana-1998	372	5	applied	apply	VERB
cana-1998	372	6	nonlinear	nonlinear	ADJ
cana-1998	372	7	analysis	analysis	NOUN
cana-1998	372	8	issn	issn	NOUN
cana-1998	372	9	:	:	PUNCT
cana-1998	372	10	1074	1074	NUM
cana-1998	372	11	-	-	PUNCT
cana-1998	372	12	133x	133x	NUM
cana-1998	372	13	vol	vol	NOUN
cana-1998	372	14	32	32	NUM
cana-1998	372	15	no	no	NOUN
cana-1998	372	16	.	.	NOUN
cana-1998	372	17	3	3	NUM
cana-1998	372	18	(	(	PUNCT
cana-1998	372	19	2025	2025	NUM
cana-1998	372	20	)	)	PUNCT
cana-1998	373	1	min{µz((~1	min{µz((~1	NOUN
cana-1998	373	2	�	�	NOUN
cana-1998	373	3	3ð1	3ð1	NUM
cana-1998	373	4	)	)	PUNCT
cana-1998	373	5	)	)	PUNCT
cana-1998	374	1	·	·	PUNCT
cana-1998	374	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	374	3	�	�	NOUN
cana-1998	374	4	3ð1	3ð1	NUM
cana-1998	374	5	)	)	PUNCT
cana-1998	374	6	)	)	PUNCT
cana-1998	374	7	,	,	PUNCT
cana-1998	374	8	µz((~2	µz((~2	NOUN
cana-1998	374	9	�	�	X
cana-1998	374	10	3ð2	3ð2	NUM
cana-1998	374	11	)	)	PUNCT
cana-1998	374	12	)	)	PUNCT
cana-1998	374	13	·	·	PUNCT
cana-1998	374	14	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	374	15	�	�	NOUN
cana-1998	374	16	3ð2	3ð2	NUM
cana-1998	374	17	)	)	PUNCT
cana-1998	374	18	)	)	PUNCT
cana-1998	374	19	}	}	PUNCT
cana-1998	374	20	�	�	PROPN
cana-1998	374	21	min{min{µz(~1	min{min{µz(~1	PROPN
cana-1998	374	22	)	)	PUNCT
cana-1998	374	23	·	·	PUNCT
cana-1998	374	24	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	374	25	)	)	PUNCT
cana-1998	374	26	,	,	PUNCT
cana-1998	374	27	µz(~2	µz(~2	NOUN
cana-1998	374	28	)	)	PUNCT
cana-1998	374	29	·	·	PUNCT
cana-1998	374	30	ei2πβz(~2)},min{µz(ð1	ei2πβz(~2)},min{µz(ð1	NUM
cana-1998	374	31	)	)	PUNCT
cana-1998	374	32	·	·	PUNCT
cana-1998	374	33	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	374	34	)	)	PUNCT
cana-1998	374	35	,	,	PUNCT
cana-1998	374	36	µz(ð2	µz(ð2	X
cana-1998	374	37	)	)	PUNCT
cana-1998	374	38	·	·	PUNCT
cana-1998	374	39	ei2πβz(ð2	ei2πβz(ð2	PROPN
cana-1998	374	40	)	)	PUNCT
cana-1998	374	41	}	}	PUNCT
cana-1998	374	42	}	}	PUNCT
cana-1998	374	43	if	if	SCONJ
cana-1998	374	44	µz((~1	µz((~1	PUNCT
cana-1998	374	45	�	�	PROPN
cana-1998	374	46	3	3	NUM
cana-1998	374	47	ð1	ð1	NOUN
cana-1998	374	48	)	)	PUNCT
cana-1998	374	49	)	)	PUNCT
cana-1998	375	1	·	·	PUNCT
cana-1998	375	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	375	3	�	�	PROPN
cana-1998	375	4	3ð1	3ð1	NUM
cana-1998	375	5	)	)	PUNCT
cana-1998	375	6	)	)	PUNCT
cana-1998	375	7	�	�	PROPN
cana-1998	375	8	µz((~2	µz((~2	PUNCT
cana-1998	375	9	�	�	PROPN
cana-1998	375	10	3	3	NUM
cana-1998	375	11	ð2	ð2	NOUN
cana-1998	375	12	)	)	PUNCT
cana-1998	375	13	)	)	PUNCT
cana-1998	375	14	·	·	PUNCT
cana-1998	375	15	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	375	16	�	�	PROPN
cana-1998	375	17	3ð2)),then	3ð2)),then	PROPN
cana-1998	375	18	µz((~1	µz((~1	PUNCT
cana-1998	375	19	�	�	PROPN
cana-1998	375	20	3	3	NUM
cana-1998	375	21	ð1	ð1	NOUN
cana-1998	375	22	)	)	PUNCT
cana-1998	375	23	)	)	PUNCT
cana-1998	376	1	·	·	PUNCT
cana-1998	376	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	376	3	�	�	PROPN
cana-1998	376	4	3ð1	3ð1	NUM
cana-1998	376	5	)	)	PUNCT
cana-1998	376	6	)	)	PUNCT
cana-1998	376	7	�	�	PROPN
cana-1998	376	8	min{µz(~1	min{µz(~1	NUM
cana-1998	376	9	)	)	PUNCT
cana-1998	376	10	·	·	PUNCT
cana-1998	376	11	ei2πβz(~1	ei2πβz(~1	NOUN
cana-1998	376	12	)	)	PUNCT
cana-1998	376	13	,	,	PUNCT
cana-1998	376	14	µz(ð1	µz(ð1	NOUN
cana-1998	376	15	)	)	PUNCT
cana-1998	376	16	·	·	PUNCT
cana-1998	376	17	ei2πβz(ð1	ei2πβz(ð1	PROPN
cana-1998	376	18	)	)	PUNCT
cana-1998	376	19	}	}	PUNCT
cana-1998	376	20	.	.	PUNCT
cana-1998	377	1	similarly	similarly	ADV
cana-1998	377	2	to	to	PART
cana-1998	377	3	prove	prove	VERB
cana-1998	377	4	that	that	SCONJ
cana-1998	377	5	max{νz((~1	max{νz((~1	PROPN
cana-1998	377	6	�	�	PROPN
cana-1998	377	7	1ð1	1ð1	NUM
cana-1998	377	8	)	)	PUNCT
cana-1998	377	9	)	)	PUNCT
cana-1998	377	10	·	·	PUNCT
cana-1998	377	11	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	377	12	�	�	NOUN
cana-1998	377	13	1ð1	1ð1	NUM
cana-1998	377	14	)	)	PUNCT
cana-1998	377	15	)	)	PUNCT
cana-1998	377	16	,	,	PUNCT
cana-1998	377	17	νz((~2	νz((~2	NOUN
cana-1998	377	18	�	�	X
cana-1998	377	19	1ð2	1ð2	NUM
cana-1998	377	20	)	)	PUNCT
cana-1998	377	21	)	)	PUNCT
cana-1998	378	1	·	·	PUNCT
cana-1998	378	2	ei2πγz((~2	ei2πγz((~2	NOUN
cana-1998	378	3	�	�	PROPN
cana-1998	378	4	1ð2	1ð2	NUM
cana-1998	378	5	)	)	PUNCT
cana-1998	378	6	)	)	PUNCT
cana-1998	378	7	}	}	PUNCT
cana-1998	378	8	�	�	PROPN
cana-1998	378	9	max{max{νz(~1)·ei2πγz(~1	max{max{νz(~1)·ei2πγz(~1	PROPN
cana-1998	378	10	)	)	PUNCT
cana-1998	378	11	,	,	PUNCT
cana-1998	378	12	νz(~2)·ei2πγz(~2)},max{νz(ð1)·ei2πγz(ð1	νz(~2)·ei2πγz(~2)},max{νz(ð1)·ei2πγz(ð1	NOUN
cana-1998	378	13	)	)	PUNCT
cana-1998	378	14	,	,	PUNCT
cana-1998	378	15	νz(ð2)·ei2πγz(ð2	νz(ð2)·ei2πγz(ð2	PROPN
cana-1998	378	16	)	)	PUNCT
cana-1998	378	17	}	}	PUNCT
cana-1998	378	18	}	}	PUNCT
cana-1998	378	19	if	if	SCONJ
cana-1998	378	20	νz((~1	νz((~1	X
cana-1998	378	21	�	�	X
cana-1998	378	22	1ð1	1ð1	NUM
cana-1998	378	23	)	)	PUNCT
cana-1998	378	24	)	)	PUNCT
cana-1998	378	25	·	·	PUNCT
cana-1998	378	26	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	378	27	�	�	NOUN
cana-1998	378	28	1ð1	1ð1	NUM
cana-1998	378	29	)	)	PUNCT
cana-1998	378	30	)	)	PUNCT
cana-1998	378	31	�	�	PROPN
cana-1998	378	32	νz((~2	νz((~2	NOUN
cana-1998	378	33	�	�	PROPN
cana-1998	378	34	1ð2	1ð2	NUM
cana-1998	378	35	)	)	PUNCT
cana-1998	378	36	)	)	PUNCT
cana-1998	378	37	·	·	PUNCT
cana-1998	378	38	ei2πγz((~2	ei2πγz((~2	NOUN
cana-1998	378	39	�	�	PROPN
cana-1998	378	40	1ð2)),then	1ð2)),then	NUM
cana-1998	378	41	νz(~1	νz(~1	NOUN
cana-1998	378	42	)	)	PUNCT
cana-1998	378	43	·	·	PUNCT
cana-1998	378	44	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	378	45	)	)	PUNCT
cana-1998	378	46	�	�	PROPN
cana-1998	378	47	νz(~2	νz(~2	NUM
cana-1998	378	48	)	)	PUNCT
cana-1998	378	49	·	·	PUNCT
cana-1998	379	1	ei2πγz(~2	ei2πγz(~2	ADJ
cana-1998	379	2	)	)	PUNCT
cana-1998	379	3	and	and	CCONJ
cana-1998	379	4	νz(ð1	νz(ð1	NOUN
cana-1998	379	5	)	)	PUNCT
cana-1998	379	6	·	·	PUNCT
cana-1998	379	7	ei2πγz(ð1	ei2πγz(ð1	PROPN
cana-1998	379	8	)	)	PUNCT
cana-1998	379	9	�	�	PROPN
cana-1998	379	10	νz(ð2	νz(ð2	PROPN
cana-1998	379	11	)	)	PUNCT
cana-1998	379	12	·	·	PUNCT
cana-1998	379	13	ei2πγz(ð2	ei2πγz(ð2	PROPN
cana-1998	379	14	)	)	PUNCT
cana-1998	379	15	.	.	PUNCT
cana-1998	380	1	we	we	PRON
cana-1998	380	2	get	get	VERB
cana-1998	380	3	νz((~1	νz((~1	PUNCT
cana-1998	380	4	�	�	PROPN
cana-1998	380	5	1	1	NUM
cana-1998	380	6	ð1	ð1	NOUN
cana-1998	380	7	)	)	PUNCT
cana-1998	380	8	)	)	PUNCT
cana-1998	380	9	·	·	PUNCT
cana-1998	380	10	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	380	11	�	�	NOUN
cana-1998	380	12	1ð1	1ð1	NUM
cana-1998	380	13	)	)	PUNCT
cana-1998	380	14	)	)	PUNCT
cana-1998	380	15	�	�	PROPN
cana-1998	380	16	max{νz(~1	max{νz(~1	NUM
cana-1998	380	17	)	)	PUNCT
cana-1998	380	18	·	·	PUNCT
cana-1998	381	1	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	381	2	)	)	PUNCT
cana-1998	381	3	,	,	PUNCT
cana-1998	381	4	νz(ð1	νz(ð1	PROPN
cana-1998	381	5	)	)	PUNCT
cana-1998	381	6	·	·	PUNCT
cana-1998	381	7	ei2πγz(ð1	ei2πγz(ð1	PROPN
cana-1998	381	8	)	)	PUNCT
cana-1998	381	9	}	}	PUNCT
cana-1998	381	10	.	.	PUNCT
cana-1998	382	1	max{νz((~1	max{νz((~1	NOUN
cana-1998	382	2	�	�	PROPN
cana-1998	382	3	2	2	NUM
cana-1998	382	4	ð1	ð1	NOUN
cana-1998	382	5	)	)	PUNCT
cana-1998	382	6	)	)	PUNCT
cana-1998	382	7	·	·	PUNCT
cana-1998	382	8	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	382	9	�	�	NOUN
cana-1998	382	10	2ð1	2ð1	NUM
cana-1998	382	11	)	)	PUNCT
cana-1998	382	12	)	)	PUNCT
cana-1998	382	13	,	,	PUNCT
cana-1998	382	14	νz((~2	νz((~2	PUNCT
cana-1998	382	15	�	�	PROPN
cana-1998	382	16	2	2	NUM
cana-1998	382	17	ð2	ð2	NOUN
cana-1998	382	18	)	)	PUNCT
cana-1998	382	19	)	)	PUNCT
cana-1998	382	20	·	·	PUNCT
cana-1998	382	21	ei2πγz((~2	ei2πγz((~2	NOUN
cana-1998	382	22	�	�	NOUN
cana-1998	382	23	2ð2	2ð2	NUM
cana-1998	382	24	)	)	PUNCT
cana-1998	382	25	)	)	PUNCT
cana-1998	382	26	}	}	PUNCT
cana-1998	382	27	�	�	PROPN
cana-1998	382	28	max{max{νz(~1)·ei2πγz(~1	max{max{νz(~1)·ei2πγz(~1	PROPN
cana-1998	382	29	)	)	PUNCT
cana-1998	382	30	,	,	PUNCT
cana-1998	382	31	νz(~2)·ei2πγz(~2)},max{νz(ð1)·ei2πγz(ð1	νz(~2)·ei2πγz(~2)},max{νz(ð1)·ei2πγz(ð1	NOUN
cana-1998	382	32	)	)	PUNCT
cana-1998	382	33	,	,	PUNCT
cana-1998	382	34	νz(ð2)·ei2πγz	νz(ð2)·ei2πγz	PROPN
cana-1998	382	35	}	}	PUNCT
cana-1998	382	36	}	}	PUNCT
cana-1998	382	37	if	if	SCONJ
cana-1998	382	38	νz((~1	νz((~1	X
cana-1998	382	39	�	�	PROPN
cana-1998	382	40	2	2	NUM
cana-1998	382	41	ð1	ð1	NOUN
cana-1998	382	42	)	)	PUNCT
cana-1998	382	43	)	)	PUNCT
cana-1998	382	44	·	·	PUNCT
cana-1998	382	45	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	382	46	�	�	NOUN
cana-1998	382	47	2ð1	2ð1	NUM
cana-1998	382	48	)	)	PUNCT
cana-1998	382	49	)	)	PUNCT
cana-1998	382	50	�	�	PROPN
cana-1998	382	51	νz((~2	νz((~2	PUNCT
cana-1998	382	52	�	�	PROPN
cana-1998	382	53	2	2	NUM
cana-1998	382	54	ð2	ð2	NOUN
cana-1998	382	55	)	)	PUNCT
cana-1998	382	56	)	)	PUNCT
cana-1998	382	57	·	·	PUNCT
cana-1998	382	58	ei2πγz((~2	ei2πγz((~2	NOUN
cana-1998	382	59	�	�	PROPN
cana-1998	382	60	2ð2)),then	2ð2)),then	NUM
cana-1998	382	61	νz((~1	νz((~1	PUNCT
cana-1998	382	62	�	�	PROPN
cana-1998	382	63	2	2	NUM
cana-1998	382	64	ð1	ð1	NOUN
cana-1998	382	65	)	)	PUNCT
cana-1998	382	66	)	)	PUNCT
cana-1998	382	67	·	·	PUNCT
cana-1998	382	68	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	382	69	�	�	NOUN
cana-1998	382	70	2ð1	2ð1	NUM
cana-1998	382	71	)	)	PUNCT
cana-1998	382	72	)	)	PUNCT
cana-1998	382	73	�	�	PROPN
cana-1998	382	74	max{νz(~1	max{νz(~1	NUM
cana-1998	382	75	)	)	PUNCT
cana-1998	382	76	·	·	PUNCT
cana-1998	382	77	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	382	78	)	)	PUNCT
cana-1998	382	79	,	,	PUNCT
cana-1998	382	80	νz(ð1	νz(ð1	PROPN
cana-1998	382	81	)	)	PUNCT
cana-1998	382	82	·	·	PUNCT
cana-1998	382	83	ei2πγz(ð1	ei2πγz(ð1	PROPN
cana-1998	382	84	)	)	PUNCT
cana-1998	382	85	}	}	PUNCT
cana-1998	382	86	.	.	PUNCT
cana-1998	383	1	max{νz((~1	max{νz((~1	NOUN
cana-1998	383	2	�	�	PROPN
cana-1998	383	3	3ð1	3ð1	NUM
cana-1998	383	4	)	)	PUNCT
cana-1998	383	5	)	)	PUNCT
cana-1998	384	1	·	·	PUNCT
cana-1998	384	2	ei2πγz((~1	ei2πγz((~1	NOUN
cana-1998	384	3	�	�	NOUN
cana-1998	384	4	3ð1	3ð1	NUM
cana-1998	384	5	)	)	PUNCT
cana-1998	384	6	)	)	PUNCT
cana-1998	384	7	,	,	PUNCT
cana-1998	384	8	νz((~2	νz((~2	NOUN
cana-1998	384	9	�	�	X
cana-1998	384	10	3ð2	3ð2	NUM
cana-1998	384	11	)	)	PUNCT
cana-1998	384	12	)	)	PUNCT
cana-1998	384	13	·	·	PUNCT
cana-1998	384	14	ei2πγz((~2	ei2πγz((~2	NOUN
cana-1998	384	15	�	�	NOUN
cana-1998	384	16	3ð2	3ð2	NUM
cana-1998	384	17	)	)	PUNCT
cana-1998	384	18	)	)	PUNCT
cana-1998	384	19	}	}	PUNCT
cana-1998	384	20	�	�	PROPN
cana-1998	384	21	max{max{νz(~1	max{max{νz(~1	PROPN
cana-1998	384	22	)	)	PUNCT
cana-1998	384	23	·	·	PUNCT
cana-1998	384	24	ei2πγz(~1	ei2πγz(~1	NOUN
cana-1998	384	25	)	)	PUNCT
cana-1998	384	26	,	,	PUNCT
cana-1998	384	27	νz(~2	νz(~2	NOUN
cana-1998	384	28	)	)	PUNCT
cana-1998	384	29	·	·	PUNCT
cana-1998	384	30	ei2πγz(~2)},max{νz(ð1	ei2πγz(~2)},max{νz(ð1	PROPN
cana-1998	384	31	)	)	PUNCT
cana-1998	384	32	·	·	PUNCT
cana-1998	384	33	ei2πγz(ð1	ei2πγz(ð1	PROPN
cana-1998	384	34	)	)	PUNCT
cana-1998	384	35	,	,	PUNCT
cana-1998	384	36	νz(ð2	νz(ð2	PROPN
cana-1998	384	37	)	)	PUNCT
cana-1998	384	38	·	·	PUNCT
cana-1998	384	39	ei2πγz(ð2	ei2πγz(ð2	NOUN
cana-1998	384	40	)	)	PUNCT
cana-1998	384	41	}	}	PUNCT
cana-1998	384	42	}	}	PUNCT
cana-1998	384	43	if	if	SCONJ
cana-1998	384	44	νz((~1	νz((~1	X
cana-1998	384	45	�	�	PROPN
cana-1998	384	46	3	3	NUM
cana-1998	384	47	ð1	ð1	NOUN
cana-1998	384	48	)	)	PUNCT
cana-1998	384	49	)	)	PUNCT
cana-1998	384	50	·	·	PUNCT
cana-1998	384	51	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	384	52	�	�	PROPN
cana-1998	384	53	3ð1	3ð1	NUM
cana-1998	384	54	)	)	PUNCT
cana-1998	384	55	)	)	PUNCT
cana-1998	384	56	�	�	PROPN
cana-1998	384	57	νz((~2	νz((~2	PUNCT
cana-1998	384	58	�	�	PROPN
cana-1998	384	59	3	3	NUM
cana-1998	384	60	ð2	ð2	NOUN
cana-1998	384	61	)	)	PUNCT
cana-1998	384	62	)	)	PUNCT
cana-1998	384	63	·	·	PUNCT
cana-1998	384	64	ei2πβz((~2	ei2πβz((~2	NOUN
cana-1998	384	65	�	�	PROPN
cana-1998	384	66	3ð2)),then	3ð2)),then	PROPN
cana-1998	384	67	νz((~1	νz((~1	NOUN
cana-1998	384	68	�	�	PROPN
cana-1998	384	69	3	3	NUM
cana-1998	384	70	ð1	ð1	NOUN
cana-1998	384	71	)	)	PUNCT
cana-1998	384	72	)	)	PUNCT
cana-1998	385	1	·	·	PUNCT
cana-1998	385	2	ei2πβz((~1	ei2πβz((~1	NOUN
cana-1998	385	3	�	�	PROPN
cana-1998	385	4	3ð1	3ð1	NUM
cana-1998	385	5	)	)	PUNCT
cana-1998	385	6	)	)	PUNCT
cana-1998	385	7	�	�	PROPN
cana-1998	385	8	max{νz(~1)·ei2πγz(~1	max{νz(~1)·ei2πγz(~1	PROPN
cana-1998	385	9	)	)	PUNCT
cana-1998	385	10	,	,	PUNCT
cana-1998	385	11	νz(ð1)·ei2πβz(ð1	νz(ð1)·ei2πβz(ð1	PROPN
cana-1998	385	12	)	)	PUNCT
cana-1998	385	13	}	}	PUNCT
cana-1998	385	14	.	.	PUNCT
cana-1998	386	1	therefore	therefore	ADV
cana-1998	386	2	,	,	PUNCT
cana-1998	386	3	z	z	PROPN
cana-1998	386	4	is	be	AUX
cana-1998	386	5	a	a	DET
cana-1998	386	6	comcifsbs	comcifsbs	NOUN
cana-1998	386	7	of	of	ADP
cana-1998	386	8	b.	b.	PROPN
cana-1998	386	9	theorem	theorem	PROPN
cana-1998	386	10	3.12	3.12	NUM
cana-1998	386	11	.	.	PUNCT
cana-1998	387	1	suppose	suppose	VERB
cana-1998	387	2	that	that	SCONJ
cana-1998	387	3	z	z	PROPN
cana-1998	387	4	is	be	AUX
cana-1998	387	5	a	a	DET
cana-1998	387	6	subset	subset	NOUN
cana-1998	387	7	of	of	ADP
cana-1998	387	8	b.	b.	PROPN
cana-1998	387	9	then	then	ADV
cana-1998	387	10	r	r	NOUN
cana-1998	387	11	=	=	SYM
cana-1998	387	12	(	(	PUNCT
cana-1998	387	13	µ̂z	µ̂z	NOUN
cana-1998	387	14	·	·	SYM
cana-1998	387	15	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	387	16	,	,	PUNCT
cana-1998	387	17	ν̂z	ν̂z	PROPN
cana-1998	387	18	·	·	PUNCT
cana-1998	387	19	ei2πγ̂z	ei2πγ̂z	ADJ
cana-1998	387	20	,	,	PUNCT
cana-1998	387	21	µz	µz	PROPN
cana-1998	387	22	·	·	PUNCT
cana-1998	387	23	ei2πβz	ei2πβz	PROPN
cana-1998	387	24	,	,	PUNCT
cana-1998	387	25	νz	νz	PROPN
cana-1998	387	26	·	·	SYM
cana-1998	387	27	ei2πγz	ei2πγz	PROPN
cana-1998	387	28	)	)	PUNCT
cana-1998	387	29	is	be	AUX
cana-1998	387	30	a	a	DET
cana-1998	387	31	comcifsbs	comcifsbs	NOUN
cana-1998	387	32	of	of	ADP
cana-1998	387	33	b	b	NOUN
cana-1998	387	34	if	if	SCONJ
cana-1998	387	35	and	and	CCONJ
cana-1998	387	36	only	only	ADV
cana-1998	387	37	ifr(t	ifr(t	PROPN
cana-1998	387	38	,	,	PUNCT
cana-1998	387	39	s	s	PART
cana-1998	387	40	)	)	PUNCT
cana-1998	387	41	is	be	AUX
cana-1998	387	42	a	a	DET
cana-1998	387	43	subbisemiring	subbisemiring	NOUN
cana-1998	387	44	of	of	ADP
cana-1998	387	45	b	b	NOUN
cana-1998	387	46	for	for	ADP
cana-1998	387	47	all	all	DET
cana-1998	387	48	t	t	PROPN
cana-1998	387	49	,	,	PUNCT
cana-1998	387	50	s	s	PART
cana-1998	387	51	∈	∈	PROPN
cana-1998	387	52	d[0	d[0	ADJ
cana-1998	387	53	,	,	PUNCT
cana-1998	387	54	1	1	NUM
cana-1998	387	55	]	]	PUNCT
cana-1998	387	56	.	.	PUNCT
cana-1998	388	1	proof	proof	NOUN
cana-1998	388	2	.	.	PUNCT
cana-1998	389	1	assume	assume	VERB
cana-1998	389	2	that	that	SCONJ
cana-1998	389	3	r̂	r̂	NOUN
cana-1998	389	4	is	be	AUX
cana-1998	389	5	a	a	DET
cana-1998	389	6	comcifsbs	comcifsbs	NOUN
cana-1998	389	7	of	of	ADP
cana-1998	389	8	b.	b.	PROPN
cana-1998	389	9	for	for	ADP
cana-1998	389	10	each	each	DET
cana-1998	389	11	t	t	PROPN
cana-1998	389	12	,	,	PUNCT
cana-1998	389	13	s	s	PART
cana-1998	389	14	∈	∈	PROPN
cana-1998	389	15	d[0	d[0	ADJ
cana-1998	389	16	,	,	PUNCT
cana-1998	389	17	1	1	NUM
cana-1998	389	18	]	]	PUNCT
cana-1998	389	19	and	and	CCONJ
cana-1998	389	20	~1	~1	ADJ
cana-1998	389	21	,	,	PUNCT
cana-1998	389	22	~2	~2	NOUN
cana-1998	389	23	∈	∈	PROPN
cana-1998	389	24	r̂(t	r̂(t	NOUN
cana-1998	389	25	,	,	PUNCT
cana-1998	389	26	s	s	NOUN
cana-1998	389	27	)	)	PUNCT
cana-1998	389	28	.	.	PUNCT
cana-1998	390	1	now	now	ADV
cana-1998	390	2	,	,	PUNCT
cana-1998	390	3	µ̂z(~1	µ̂z(~1	PROPN
cana-1998	390	4	)	)	PUNCT
cana-1998	390	5	·	·	PUNCT
cana-1998	390	6	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	390	7	(	(	PUNCT
cana-1998	390	8	~1	~1	X
cana-1998	390	9	)	)	PUNCT
cana-1998	390	10	�	�	PROPN
cana-1998	390	11	t	t	PROPN
cana-1998	390	12	,	,	PUNCT
cana-1998	390	13	µ̂z(~2	µ̂z(~2	NUM
cana-1998	390	14	)	)	PUNCT
cana-1998	390	15	·	·	PUNCT
cana-1998	390	16	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	390	17	(	(	PUNCT
cana-1998	390	18	~2	~2	NOUN
cana-1998	390	19	)	)	PUNCT
cana-1998	390	20	�	�	PROPN
cana-1998	390	21	t	t	PROPN
cana-1998	390	22	and	and	CCONJ
cana-1998	390	23	ν̂z(~1	ν̂z(~1	PROPN
cana-1998	390	24	)	)	PUNCT
cana-1998	390	25	·	·	PUNCT
cana-1998	391	1	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	391	2	(	(	PUNCT
cana-1998	391	3	~1	~1	X
cana-1998	391	4	)	)	PUNCT
cana-1998	391	5	�	�	PROPN
cana-1998	391	6	s	s	PART
cana-1998	391	7	,	,	PUNCT
cana-1998	391	8	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	391	9	)	)	PUNCT
cana-1998	391	10	·	·	PUNCT
cana-1998	391	11	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	391	12	(	(	PUNCT
cana-1998	391	13	~2	~2	NOUN
cana-1998	391	14	)	)	PUNCT
cana-1998	391	15	�	�	PROPN
cana-1998	391	16	s.	s.	PROPN
cana-1998	391	17	now	now	ADV
cana-1998	391	18	,	,	PUNCT
cana-1998	391	19	µ̂z((~1	µ̂z((~1	PROPN
cana-1998	391	20	�	�	SYM
cana-1998	391	21	1~2))·ei2πβ̂z	1~2))·ei2πβ̂z	PROPN
cana-1998	391	22	(	(	PUNCT
cana-1998	391	23	(	(	PUNCT
cana-1998	391	24	~1	~1	X
cana-1998	391	25	�	�	NOUN
cana-1998	391	26	1~2	1~2	NUM
cana-1998	391	27	)	)	PUNCT
cana-1998	391	28	)	)	PUNCT
cana-1998	391	29	�	�	PROPN
cana-1998	391	30	min{µ̂z(~1)·ei2πβ̂z	min{µ̂z(~1)·ei2πβ̂z	PROPN
cana-1998	391	31	(	(	PUNCT
cana-1998	391	32	~1	~1	ADV
cana-1998	391	33	)	)	PUNCT
cana-1998	391	34	,	,	PUNCT
cana-1998	391	35	µ̂z(~2	µ̂z(~2	NUM
cana-1998	391	36	)	)	PUNCT
cana-1998	391	37	·	·	PUNCT
cana-1998	391	38	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	391	39	(	(	PUNCT
cana-1998	391	40	~2	~2	NOUN
cana-1998	391	41	)	)	PUNCT
cana-1998	391	42	}	}	PUNCT
cana-1998	391	43	�	�	PROPN
cana-1998	391	44	t	t	PROPN
cana-1998	391	45	and	and	CCONJ
cana-1998	391	46	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	391	47	�	�	PROPN
cana-1998	391	48	1	1	NUM
cana-1998	391	49	~2	~2	NOUN
cana-1998	391	50	)	)	PUNCT
cana-1998	391	51	)	)	PUNCT
cana-1998	391	52	·	·	PUNCT
cana-1998	392	1	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	392	2	(	(	PUNCT
cana-1998	392	3	(	(	PUNCT
cana-1998	392	4	~1	~1	X
cana-1998	392	5	�	�	NOUN
cana-1998	392	6	1	1	NUM
cana-1998	392	7	~2	~2	NOUN
cana-1998	392	8	)	)	PUNCT
cana-1998	392	9	)	)	PUNCT
cana-1998	392	10	�	�	PROPN
cana-1998	392	11	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	392	12	)	)	PUNCT
cana-1998	392	13	·	·	PUNCT
cana-1998	392	14	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	392	15	(	(	PUNCT
cana-1998	392	16	~1	~1	ADJ
cana-1998	392	17	)	)	PUNCT
cana-1998	392	18	,	,	PUNCT
cana-1998	392	19	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	392	20	)	)	PUNCT
cana-1998	392	21	·	·	PUNCT
cana-1998	393	1	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	393	2	(	(	PUNCT
cana-1998	393	3	~2	~2	NOUN
cana-1998	393	4	)	)	PUNCT
cana-1998	393	5	}	}	PUNCT
cana-1998	393	6	�	�	PROPN
cana-1998	393	7	s.	s.	PROPN
cana-1998	393	8	this	this	PRON
cana-1998	393	9	implies	imply	VERB
cana-1998	393	10	that	that	SCONJ
cana-1998	393	11	~1	~1	ADV
cana-1998	393	12	�	�	NOUN
cana-1998	393	13	1	1	NUM
cana-1998	393	14	~2	~2	NOUN
cana-1998	393	15	∈	∈	PROPN
cana-1998	393	16	r̂(t	r̂(t	NOUN
cana-1998	393	17	,	,	PUNCT
cana-1998	393	18	s	s	PART
cana-1998	393	19	)	)	PUNCT
cana-1998	393	20	.	.	PUNCT
cana-1998	394	1	similarly	similarly	ADV
cana-1998	394	2	,	,	PUNCT
cana-1998	394	3	~1	~1	ADJ
cana-1998	394	4	�	�	NOUN
cana-1998	394	5	2	2	NUM
cana-1998	394	6	~2	~2	NOUN
cana-1998	394	7	∈	∈	PROPN
cana-1998	394	8	r̂(t	r̂(t	NOUN
cana-1998	394	9	,	,	PUNCT
cana-1998	394	10	s	s	PART
cana-1998	394	11	)	)	PUNCT
cana-1998	394	12	and	and	CCONJ
cana-1998	394	13	~1	~1	ADJ
cana-1998	394	14	�	�	NOUN
cana-1998	394	15	3	3	NUM
cana-1998	394	16	~2	~2	NOUN
cana-1998	394	17	∈	∈	PROPN
cana-1998	394	18	r̂(t	r̂(t	NOUN
cana-1998	394	19	,	,	PUNCT
cana-1998	394	20	s	s	NOUN
cana-1998	394	21	)	)	PUNCT
cana-1998	394	22	.	.	PUNCT
cana-1998	395	1	hence	hence	ADV
cana-1998	395	2	,	,	PUNCT
cana-1998	395	3	r̂(t	r̂(t	ADJ
cana-1998	395	4	,	,	PUNCT
cana-1998	395	5	s	s	PART
cana-1998	395	6	)	)	PUNCT
cana-1998	395	7	is	be	AUX
cana-1998	395	8	a	a	DET
cana-1998	395	9	subbisemiring	subbisemiring	NOUN
cana-1998	395	10	of	of	ADP
cana-1998	395	11	b	b	NOUN
cana-1998	395	12	,	,	PUNCT
cana-1998	395	13	for	for	ADP
cana-1998	395	14	all	all	DET
cana-1998	395	15	t	t	NOUN
cana-1998	395	16	,	,	PUNCT
cana-1998	395	17	s	s	PART
cana-1998	395	18	∈	∈	PROPN
cana-1998	395	19	d[0	d[0	ADJ
cana-1998	395	20	,	,	PUNCT
cana-1998	395	21	1	1	NUM
cana-1998	395	22	]	]	PUNCT
cana-1998	395	23	.	.	PUNCT
cana-1998	396	1	for	for	ADP
cana-1998	396	2	each	each	DET
cana-1998	396	3	t	t	PROPN
cana-1998	396	4	,	,	PUNCT
cana-1998	396	5	s	s	PART
cana-1998	396	6	∈	∈	PROPN
cana-1998	397	1	[	[	X
cana-1998	397	2	0	0	NUM
cana-1998	397	3	,	,	PUNCT
cana-1998	397	4	1	1	NUM
cana-1998	397	5	]	]	PUNCT
cana-1998	397	6	and	and	CCONJ
cana-1998	397	7	~1	~1	ADJ
cana-1998	397	8	,	,	PUNCT
cana-1998	397	9	~2	~2	NOUN
cana-1998	397	10	∈	∈	PROPN
cana-1998	397	11	r(t	r(t	NOUN
cana-1998	397	12	,	,	PUNCT
cana-1998	397	13	s	s	NOUN
cana-1998	397	14	)	)	PUNCT
cana-1998	397	15	.	.	PUNCT
cana-1998	398	1	now,µz(~1	now,µz(~1	NUM
cana-1998	398	2	)	)	PUNCT
cana-1998	398	3	·	·	PUNCT
cana-1998	398	4	ei2πβz	ei2πβz	PROPN
cana-1998	398	5	(	(	PUNCT
cana-1998	398	6	~1	~1	X
cana-1998	398	7	)	)	PUNCT
cana-1998	398	8	�	�	PROPN
cana-1998	398	9	t	t	PROPN
cana-1998	398	10	,	,	PUNCT
cana-1998	398	11	µz(~2	µz(~2	NOUN
cana-1998	398	12	)	)	PUNCT
cana-1998	398	13	·	·	PUNCT
cana-1998	398	14	ei2πβz	ei2πβz	PROPN
cana-1998	398	15	(	(	PUNCT
cana-1998	398	16	~2	~2	NOUN
cana-1998	398	17	)	)	PUNCT
cana-1998	398	18	�	�	PROPN
cana-1998	398	19	t	t	PROPN
cana-1998	398	20	and	and	CCONJ
cana-1998	398	21	νz(~1	νz(~1	NUM
cana-1998	398	22	)	)	PUNCT
cana-1998	398	23	·	·	PUNCT
cana-1998	398	24	ei2πγz	ei2πγz	PROPN
cana-1998	398	25	(	(	PUNCT
cana-1998	398	26	~1	~1	X
cana-1998	398	27	)	)	PUNCT
cana-1998	398	28	�	�	PROPN
cana-1998	398	29	s	s	PART
cana-1998	398	30	,	,	PUNCT
cana-1998	398	31	νz(~2	νz(~2	NOUN
cana-1998	398	32	)	)	PUNCT
cana-1998	398	33	·	·	PUNCT
cana-1998	398	34	ei2πγz	ei2πγz	PROPN
cana-1998	398	35	(	(	PUNCT
cana-1998	398	36	~2	~2	NOUN
cana-1998	398	37	)	)	PUNCT
cana-1998	398	38	�	�	PROPN
cana-1998	398	39	s.	s.	PROPN
cana-1998	398	40	now	now	ADV
cana-1998	398	41	,	,	PUNCT
cana-1998	398	42	µz((~1	µz((~1	PUNCT
cana-1998	398	43	�	�	PROPN
cana-1998	398	44	1	1	NUM
cana-1998	398	45	~2	~2	NOUN
cana-1998	398	46	)	)	PUNCT
cana-1998	398	47	)	)	PUNCT
cana-1998	398	48	·	·	PUNCT
cana-1998	398	49	ei2πβz	ei2πβz	PROPN
cana-1998	398	50	(	(	PUNCT
cana-1998	398	51	(	(	PUNCT
cana-1998	398	52	~1	~1	X
cana-1998	398	53	�	�	NOUN
cana-1998	398	54	1	1	NUM
cana-1998	398	55	~2	~2	NOUN
cana-1998	398	56	)	)	PUNCT
cana-1998	398	57	)	)	PUNCT
cana-1998	398	58	�	�	PROPN
cana-1998	398	59	min{µz(~1	min{µz(~1	NUM
cana-1998	398	60	)	)	PUNCT
cana-1998	398	61	·	·	PUNCT
cana-1998	398	62	ei2πβz	ei2πβz	PROPN
cana-1998	398	63	(	(	PUNCT
cana-1998	398	64	~1	~1	ADV
cana-1998	398	65	)	)	PUNCT
cana-1998	398	66	,	,	PUNCT
cana-1998	398	67	µz(~2	µz(~2	NOUN
cana-1998	398	68	)	)	PUNCT
cana-1998	398	69	·	·	PUNCT
cana-1998	398	70	ei2πβz	ei2πβz	PROPN
cana-1998	398	71	(	(	PUNCT
cana-1998	398	72	~2	~2	ADJ
cana-1998	398	73	)	)	PUNCT
cana-1998	398	74	}	}	PUNCT
cana-1998	398	75	�	�	PROPN
cana-1998	398	76	t	t	PROPN
cana-1998	398	77	and	and	CCONJ
cana-1998	398	78	νz((~1	νz((~1	NOUN
cana-1998	398	79	�	�	PROPN
cana-1998	398	80	1	1	NUM
cana-1998	398	81	~2	~2	NOUN
cana-1998	398	82	)	)	PUNCT
cana-1998	398	83	)	)	PUNCT
cana-1998	398	84	·	·	PUNCT
cana-1998	398	85	ei2πγz	ei2πγz	X
cana-1998	398	86	(	(	PUNCT
cana-1998	398	87	(	(	PUNCT
cana-1998	398	88	~1	~1	X
cana-1998	398	89	�	�	NOUN
cana-1998	398	90	1	1	NUM
cana-1998	398	91	~2	~2	NOUN
cana-1998	398	92	)	)	PUNCT
cana-1998	398	93	)	)	PUNCT
cana-1998	398	94	�	�	PROPN
cana-1998	398	95	max{νz(~1)·ei2πγz	max{νz(~1)·ei2πγz	PRON
cana-1998	398	96	(	(	PUNCT
cana-1998	398	97	~1	~1	ADV
cana-1998	398	98	)	)	PUNCT
cana-1998	398	99	,	,	PUNCT
cana-1998	398	100	νz(~2)·ei2πγz	νz(~2)·ei2πγz	NOUN
cana-1998	398	101	(	(	PUNCT
cana-1998	398	102	~2	~2	NOUN
cana-1998	398	103	)	)	PUNCT
cana-1998	398	104	}	}	PUNCT
cana-1998	398	105	�	�	PROPN
cana-1998	398	106	s.	s.	PROPN
cana-1998	398	107	this	this	PRON
cana-1998	398	108	implies	imply	VERB
cana-1998	398	109	that	that	SCONJ
cana-1998	398	110	~1	~1	ADV
cana-1998	398	111	�	�	NOUN
cana-1998	398	112	1~2	1~2	NUM
cana-1998	398	113	∈	∈	PROPN
cana-1998	398	114	r(t	r(t	NOUN
cana-1998	398	115	,	,	PUNCT
cana-1998	398	116	s	s	NOUN
cana-1998	398	117	)	)	PUNCT
cana-1998	398	118	.	.	PUNCT
cana-1998	399	1	similarly,~1	similarly,~1	PROPN
cana-1998	399	2	�	�	PROPN
cana-1998	399	3	2	2	NUM
cana-1998	399	4	~2	~2	NOUN
cana-1998	399	5	∈	∈	NOUN
cana-1998	399	6	r(t	r(t	NOUN
cana-1998	399	7	,	,	PUNCT
cana-1998	399	8	s	s	NOUN
cana-1998	399	9	)	)	PUNCT
cana-1998	399	10	and	and	CCONJ
cana-1998	399	11	~1	~1	NOUN
cana-1998	399	12	�	�	NOUN
cana-1998	399	13	3	3	NUM
cana-1998	399	14	~2	~2	NOUN
cana-1998	399	15	∈	∈	PROPN
cana-1998	399	16	r(t	r(t	NOUN
cana-1998	399	17	,	,	PUNCT
cana-1998	399	18	s	s	NOUN
cana-1998	399	19	)	)	PUNCT
cana-1998	399	20	.	.	PUNCT
cana-1998	400	1	hence	hence	ADV
cana-1998	400	2	,	,	PUNCT
cana-1998	400	3	r(t	r(t	NOUN
cana-1998	400	4	,	,	PUNCT
cana-1998	400	5	s	s	PART
cana-1998	400	6	)	)	PUNCT
cana-1998	400	7	is	be	AUX
cana-1998	400	8	a	a	DET
cana-1998	400	9	subbisemiring	subbisemiring	NOUN
cana-1998	400	10	of	of	ADP
cana-1998	400	11	b	b	NOUN
cana-1998	400	12	,	,	PUNCT
cana-1998	400	13	for	for	ADP
cana-1998	400	14	all	all	DET
cana-1998	400	15	t	t	PROPN
cana-1998	400	16	,	,	PUNCT
cana-1998	400	17	s	s	PART
cana-1998	400	18	∈	∈	PROPN
cana-1998	400	19	d[0	d[0	ADJ
cana-1998	400	20	,	,	PUNCT
cana-1998	400	21	1	1	NUM
cana-1998	400	22	]	]	PUNCT
cana-1998	400	23	.	.	PUNCT
cana-1998	401	1	conversely	conversely	ADV
cana-1998	401	2	,	,	PUNCT
cana-1998	401	3	assume	assume	VERB
cana-1998	401	4	that	that	SCONJ
cana-1998	401	5	r̂(t	r̂(t	ADP
cana-1998	401	6	,	,	PUNCT
cana-1998	401	7	s	s	PART
cana-1998	401	8	)	)	PUNCT
cana-1998	401	9	is	be	AUX
cana-1998	401	10	a	a	DET
cana-1998	401	11	subbisemiring	subbisemiring	NOUN
cana-1998	401	12	of	of	ADP
cana-1998	401	13	b	b	PROPN
cana-1998	401	14	and	and	CCONJ
cana-1998	401	15	t	t	PROPN
cana-1998	401	16	,	,	PUNCT
cana-1998	401	17	s	s	PART
cana-1998	401	18	∈	∈	PROPN
cana-1998	401	19	d[0	d[0	ADJ
cana-1998	401	20	,	,	PUNCT
cana-1998	401	21	1	1	NUM
cana-1998	401	22	]	]	PUNCT
cana-1998	401	23	.	.	PUNCT
cana-1998	402	1	suppose	suppose	VERB
cana-1998	402	2	if	if	SCONJ
cana-1998	402	3	there	there	PRON
cana-1998	402	4	exist	exist	VERB
cana-1998	402	5	~1	~1	NOUN
cana-1998	402	6	,	,	PUNCT
cana-1998	402	7	~2	~2	NOUN
cana-1998	402	8	∈	∈	PROPN
cana-1998	402	9	b	b	PROPN
cana-1998	402	10	such	such	ADJ
cana-1998	402	11	that	that	SCONJ
cana-1998	402	12	µ̂z((~1	µ̂z((~1	ADJ
cana-1998	402	13	�	�	PROPN
cana-1998	402	14	1	1	NUM
cana-1998	402	15	~2	~2	NOUN
cana-1998	402	16	)	)	PUNCT
cana-1998	402	17	)	)	PUNCT
cana-1998	402	18	·	·	PUNCT
cana-1998	403	1	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	403	2	(	(	PUNCT
cana-1998	403	3	(	(	PUNCT
cana-1998	403	4	~1	~1	X
cana-1998	403	5	�	�	NOUN
cana-1998	403	6	1	1	NUM
cana-1998	403	7	~2	~2	NOUN
cana-1998	403	8	)	)	PUNCT
cana-1998	403	9	)	)	PUNCT
cana-1998	403	10	≺	≺	NOUN
cana-1998	403	11	min{µ̂z(~1	min{µ̂z(~1	NOUN
cana-1998	403	12	)	)	PUNCT
cana-1998	403	13	·	·	PUNCT
cana-1998	403	14	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	403	15	(	(	PUNCT
cana-1998	403	16	~1	~1	ADJ
cana-1998	403	17	)	)	PUNCT
cana-1998	403	18	,	,	PUNCT
cana-1998	403	19	µ̂z(~2	µ̂z(~2	NUM
cana-1998	403	20	)	)	PUNCT
cana-1998	403	21	·	·	PUNCT
cana-1998	403	22	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	403	23	(	(	PUNCT
cana-1998	403	24	~2	~2	NOUN
cana-1998	403	25	)	)	PUNCT
cana-1998	403	26	}	}	PUNCT
cana-1998	403	27	and	and	CCONJ
cana-1998	403	28	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	403	29	�	�	PROPN
cana-1998	403	30	1	1	NUM
cana-1998	403	31	~2	~2	NOUN
cana-1998	403	32	)	)	PUNCT
cana-1998	403	33	)	)	PUNCT
cana-1998	403	34	·	·	PUNCT
cana-1998	404	1	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	404	2	(	(	PUNCT
cana-1998	404	3	(	(	PUNCT
cana-1998	404	4	~1	~1	X
cana-1998	404	5	�	�	NOUN
cana-1998	404	6	1	1	NUM
cana-1998	404	7	~2	~2	NOUN
cana-1998	404	8	)	)	PUNCT
cana-1998	404	9	)	)	PUNCT
cana-1998	404	10	�	�	PROPN
cana-1998	404	11	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	404	12	)	)	PUNCT
cana-1998	404	13	·	·	PUNCT
cana-1998	404	14	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	404	15	(	(	PUNCT
cana-1998	404	16	~1	~1	ADJ
cana-1998	404	17	)	)	PUNCT
cana-1998	404	18	,	,	PUNCT
cana-1998	404	19	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	404	20	)	)	PUNCT
cana-1998	404	21	·	·	PUNCT
cana-1998	404	22	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	404	23	(	(	PUNCT
cana-1998	404	24	~2	~2	NOUN
cana-1998	404	25	)	)	PUNCT
cana-1998	404	26	}	}	PUNCT
cana-1998	404	27	.	.	PUNCT
cana-1998	405	1	for	for	ADP
cana-1998	405	2	t	t	PROPN
cana-1998	405	3	,	,	PUNCT
cana-1998	405	4	s	s	PART
cana-1998	405	5	∈	∈	PROPN
cana-1998	405	6	d[0	d[0	ADJ
cana-1998	405	7	,	,	PUNCT
cana-1998	405	8	1	1	X
cana-1998	405	9	]	]	PUNCT
cana-1998	405	10	such	such	ADJ
cana-1998	405	11	that	that	SCONJ
cana-1998	405	12	µ̂z((~1	µ̂z((~1	ADJ
cana-1998	405	13	�	�	PROPN
cana-1998	405	14	1	1	NUM
cana-1998	405	15	~2	~2	NOUN
cana-1998	405	16	)	)	PUNCT
cana-1998	405	17	)	)	PUNCT
cana-1998	406	1	·	·	PUNCT
cana-1998	406	2	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	406	3	(	(	PUNCT
cana-1998	406	4	(	(	PUNCT
cana-1998	406	5	~1	~1	X
cana-1998	406	6	�	�	NOUN
cana-1998	406	7	1	1	NUM
cana-1998	406	8	~2	~2	NOUN
cana-1998	406	9	)	)	PUNCT
cana-1998	406	10	)	)	PUNCT
cana-1998	406	11	≺	≺	NOUN
cana-1998	406	12	t	t	PROPN
cana-1998	406	13	�	�	PROPN
cana-1998	406	14	min{µ̂z(~1	min{µ̂z(~1	PROPN
cana-1998	406	15	)	)	PUNCT
cana-1998	406	16	·	·	PUNCT
cana-1998	406	17	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	406	18	(	(	PUNCT
cana-1998	406	19	~1	~1	NOUN
cana-1998	406	20	)	)	PUNCT
cana-1998	406	21	,	,	PUNCT
cana-1998	406	22	µ̂z(~2	µ̂z(~2	NUM
cana-1998	406	23	)	)	PUNCT
cana-1998	406	24	·	·	PUNCT
cana-1998	406	25	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	406	26	(	(	PUNCT
cana-1998	406	27	~2	~2	NOUN
cana-1998	406	28	)	)	PUNCT
cana-1998	406	29	}	}	PUNCT
cana-1998	406	30	and	and	CCONJ
cana-1998	406	31	ν̂z((~1	ν̂z((~1	NUM
cana-1998	406	32	�	�	PROPN
cana-1998	406	33	1	1	NUM
cana-1998	406	34	~2	~2	NOUN
cana-1998	406	35	)	)	PUNCT
cana-1998	406	36	)	)	PUNCT
cana-1998	407	1	·	·	PUNCT
cana-1998	407	2	ei2πγ̂z	ei2πγ̂z	X
cana-1998	407	3	(	(	PUNCT
cana-1998	407	4	(	(	PUNCT
cana-1998	407	5	~1	~1	X
cana-1998	407	6	�	�	NOUN
cana-1998	407	7	1	1	NUM
cana-1998	407	8	~2	~2	NOUN
cana-1998	407	9	)	)	PUNCT
cana-1998	407	10	)	)	PUNCT
cana-1998	407	11	�	�	PROPN
cana-1998	407	12	s	s	PART
cana-1998	407	13	�	�	PROPN
cana-1998	407	14	max{ν̂z(~1)·ei2πγ̂z	max{ν̂z(~1)·ei2πγ̂z	PROPN
cana-1998	407	15	(	(	PUNCT
cana-1998	407	16	~1	~1	ADJ
cana-1998	407	17	)	)	PUNCT
cana-1998	407	18	,	,	PUNCT
cana-1998	407	19	ν̂z(~2)·ei2πγ̂z	ν̂z(~2)·ei2πγ̂z	PROPN
cana-1998	407	20	(	(	PUNCT
cana-1998	407	21	~2	~2	NOUN
cana-1998	407	22	)	)	PUNCT
cana-1998	407	23	}	}	PUNCT
cana-1998	407	24	.	.	PUNCT
cana-1998	408	1	thus,~1	thus,~1	PROPN
cana-1998	408	2	,	,	PUNCT
cana-1998	408	3	~2	~2	NOUN
cana-1998	408	4	∈	∈	PROPN
cana-1998	408	5	r̂(t	r̂(t	NOUN
cana-1998	408	6	,	,	PUNCT
cana-1998	408	7	s),but	s),but	NOUN
cana-1998	408	8	~1	~1	X
cana-1998	408	9	�	�	VERB
cana-1998	408	10	1~2	1~2	NUM
cana-1998	408	11	/∈	/∈	PUNCT
cana-1998	408	12	r̂(t	r̂(t	PROPN
cana-1998	408	13	,	,	PUNCT
cana-1998	408	14	s	s	PART
cana-1998	408	15	)	)	PUNCT
cana-1998	408	16	.	.	PUNCT
cana-1998	409	1	this	this	PRON
cana-1998	409	2	contradicts	contradict	VERB
cana-1998	409	3	,	,	PUNCT
cana-1998	409	4	r̂(t	r̂(t	ADJ
cana-1998	409	5	,	,	PUNCT
cana-1998	409	6	s	s	PART
cana-1998	409	7	)	)	PUNCT
cana-1998	409	8	is	be	AUX
cana-1998	409	9	a	a	DET
cana-1998	409	10	sbs	sbs	NOUN
cana-1998	409	11	of	of	ADP
cana-1998	409	12	b.	b.	PROPN
cana-1998	409	13	therefore	therefore	ADV
cana-1998	409	14	µ̂z((~1	µ̂z((~1	PROPN
cana-1998	409	15	�	�	SYM
cana-1998	409	16	1~2))·ei2πβ̂z	1~2))·ei2πβ̂z	PROPN
cana-1998	409	17	(	(	PUNCT
cana-1998	409	18	(	(	PUNCT
cana-1998	409	19	~1	~1	X
cana-1998	409	20	�	�	NOUN
cana-1998	409	21	1~2	1~2	NUM
cana-1998	409	22	)	)	PUNCT
cana-1998	409	23	)	)	PUNCT
cana-1998	409	24	�	�	PROPN
cana-1998	409	25	min{µ̂z(~1	min{µ̂z(~1	PROPN
cana-1998	409	26	)	)	PUNCT
cana-1998	409	27	·	·	PUNCT
cana-1998	409	28	ei2πβ̂z	ei2πβ̂z	NOUN
cana-1998	409	29	(	(	PUNCT
cana-1998	409	30	~1	~1	ADJ
cana-1998	409	31	)	)	PUNCT
cana-1998	409	32	,	,	PUNCT
cana-1998	409	33	µ̂z(~2	µ̂z(~2	NUM
cana-1998	409	34	)	)	PUNCT
cana-1998	409	35	·	·	PUNCT
cana-1998	409	36	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	409	37	(	(	PUNCT
cana-1998	409	38	~2	~2	NOUN
cana-1998	409	39	)	)	PUNCT
cana-1998	409	40	}	}	PUNCT
cana-1998	409	41	and	and	CCONJ
cana-1998	409	42	ν̂z((~1	ν̂z((~1	PROPN
cana-1998	409	43	�	�	PROPN
cana-1998	409	44	1	1	NUM
cana-1998	409	45	~2	~2	NOUN
cana-1998	409	46	)	)	PUNCT
cana-1998	409	47	)	)	PUNCT
cana-1998	409	48	·	·	PUNCT
cana-1998	410	1	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	410	2	(	(	PUNCT
cana-1998	410	3	(	(	PUNCT
cana-1998	410	4	~1	~1	X
cana-1998	410	5	�	�	NOUN
cana-1998	410	6	1	1	NUM
cana-1998	410	7	~2	~2	NOUN
cana-1998	410	8	)	)	PUNCT
cana-1998	410	9	)	)	PUNCT
cana-1998	410	10	�	�	PROPN
cana-1998	410	11	max{ν̂z(~1	max{ν̂z(~1	PROPN
cana-1998	410	12	)	)	PUNCT
cana-1998	410	13	·	·	PUNCT
cana-1998	410	14	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	410	15	(	(	PUNCT
cana-1998	410	16	~1	~1	ADJ
cana-1998	410	17	)	)	PUNCT
cana-1998	410	18	,	,	PUNCT
cana-1998	410	19	ν̂z(~2	ν̂z(~2	PROPN
cana-1998	410	20	)	)	PUNCT
cana-1998	410	21	·	·	PUNCT
cana-1998	410	22	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	410	23	(	(	PUNCT
cana-1998	410	24	~2	~2	NOUN
cana-1998	410	25	)	)	PUNCT
cana-1998	410	26	}	}	PUNCT
cana-1998	410	27	.	.	PUNCT
cana-1998	411	1	similarly,	similarly,	NOUN
cana-1998	411	2	�	�	PROPN
cana-1998	411	3	2	2	NUM
cana-1998	411	4	and	and	CCONJ
cana-1998	411	5	�	�	NOUN
cana-1998	411	6	3	3	NUM
cana-1998	411	7	cases	case	NOUN
cana-1998	411	8	.	.	PUNCT
cana-1998	412	1	hence	hence	ADV
cana-1998	412	2	r̂	r̂	NOUN
cana-1998	412	3	=	=	SYM
cana-1998	412	4	(	(	PUNCT
cana-1998	412	5	µ̂z	µ̂z	NOUN
cana-1998	412	6	·	·	SYM
cana-1998	412	7	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	412	8	,	,	PUNCT
cana-1998	412	9	r̂i	r̂i	NOUN
cana-1998	412	10	z	z	NOUN
cana-1998	412	11	·	·	PUNCT
cana-1998	413	1	ei2πî	ei2πî	INTJ
cana-1998	414	1	i	i	PRON
cana-1998	414	2	z	z	NOUN
cana-1998	414	3	,	,	PUNCT
cana-1998	414	4	ν̂z	ν̂z	X
cana-1998	414	5	·	·	PUNCT
cana-1998	414	6	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	414	7	)	)	PUNCT
cana-1998	414	8	is	be	AUX
cana-1998	414	9	a	a	DET
cana-1998	414	10	comcifsbs	comcifsbs	NOUN
cana-1998	414	11	of	of	ADP
cana-1998	414	12	b.	b.	PROPN
cana-1998	414	13	let	let	VERB
cana-1998	414	14	us	we	PRON
cana-1998	414	15	assume	assume	VERB
cana-1998	414	16	that	that	SCONJ
cana-1998	414	17	r(t	r(t	NOUN
cana-1998	414	18	,	,	PUNCT
cana-1998	414	19	s	s	PART
cana-1998	414	20	)	)	PUNCT
cana-1998	414	21	is	be	AUX
cana-1998	414	22	a	a	DET
cana-1998	414	23	subbisemiring	subbisemiring	NOUN
cana-1998	414	24	of	of	ADP
cana-1998	414	25	b	b	PROPN
cana-1998	414	26	and	and	CCONJ
cana-1998	414	27	t	t	PROPN
cana-1998	414	28	,	,	PUNCT
cana-1998	414	29	s	s	PART
cana-1998	414	30	∈	∈	PROPN
cana-1998	415	1	[	[	X
cana-1998	415	2	0	0	NUM
cana-1998	415	3	,	,	PUNCT
cana-1998	415	4	1	1	NUM
cana-1998	415	5	]	]	PUNCT
cana-1998	415	6	.	.	PUNCT
cana-1998	416	1	suppose	suppose	VERB
cana-1998	416	2	if	if	SCONJ
cana-1998	416	3	there	there	PRON
cana-1998	416	4	exist	exist	VERB
cana-1998	416	5	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	416	6	428	428	NUM
cana-1998	416	7	communications	communication	NOUN
cana-1998	416	8	on	on	ADP
cana-1998	416	9	applied	apply	VERB
cana-1998	416	10	nonlinear	nonlinear	ADJ
cana-1998	416	11	analysis	analysis	NOUN
cana-1998	416	12	issn	issn	NOUN
cana-1998	416	13	:	:	PUNCT
cana-1998	416	14	1074	1074	NUM
cana-1998	416	15	-	-	PUNCT
cana-1998	416	16	133x	133x	NUM
cana-1998	416	17	vol	vol	NOUN
cana-1998	416	18	32	32	NUM
cana-1998	416	19	no	no	NOUN
cana-1998	416	20	.	.	NOUN
cana-1998	416	21	3	3	NUM
cana-1998	416	22	(	(	PUNCT
cana-1998	416	23	2025	2025	NUM
cana-1998	416	24	)	)	PUNCT
cana-1998	416	25	~1	~1	NOUN
cana-1998	416	26	,	,	PUNCT
cana-1998	416	27	~2	~2	NOUN
cana-1998	416	28	∈	∈	PROPN
cana-1998	416	29	b	b	PROPN
cana-1998	416	30	such	such	ADJ
cana-1998	416	31	that	that	PRON
cana-1998	416	32	µz((~1	µz((~1	VERB
cana-1998	416	33	�	�	NOUN
cana-1998	416	34	1~2	1~2	NUM
cana-1998	416	35	)	)	PUNCT
cana-1998	416	36	)	)	PUNCT
cana-1998	416	37	·	·	PUNCT
cana-1998	416	38	ei2πβz	ei2πβz	PROPN
cana-1998	416	39	(	(	PUNCT
cana-1998	416	40	(	(	PUNCT
cana-1998	416	41	~1	~1	X
cana-1998	416	42	�	�	NOUN
cana-1998	416	43	1~2	1~2	NUM
cana-1998	416	44	)	)	PUNCT
cana-1998	416	45	)	)	PUNCT
cana-1998	416	46	≺	≺	NOUN
cana-1998	416	47	min{µz(~1	min{µz(~1	NUM
cana-1998	416	48	)	)	PUNCT
cana-1998	416	49	·	·	PUNCT
cana-1998	416	50	ei2πβz	ei2πβz	PROPN
cana-1998	416	51	(	(	PUNCT
cana-1998	416	52	~1	~1	ADV
cana-1998	416	53	)	)	PUNCT
cana-1998	416	54	,	,	PUNCT
cana-1998	416	55	µz(~2	µz(~2	NOUN
cana-1998	416	56	)	)	PUNCT
cana-1998	416	57	·	·	PUNCT
cana-1998	417	1	ei2πβz	ei2πβz	PROPN
cana-1998	417	2	(	(	PUNCT
cana-1998	417	3	~2	~2	NOUN
cana-1998	417	4	)	)	PUNCT
cana-1998	417	5	}	}	PUNCT
cana-1998	417	6	and	and	CCONJ
cana-1998	417	7	νz((~1	νz((~1	X
cana-1998	417	8	�	�	PROPN
cana-1998	417	9	1	1	NUM
cana-1998	417	10	~2	~2	NOUN
cana-1998	417	11	)	)	PUNCT
cana-1998	417	12	)	)	PUNCT
cana-1998	417	13	·	·	PUNCT
cana-1998	417	14	ei2πγz	ei2πγz	PROPN
cana-1998	417	15	(	(	PUNCT
cana-1998	417	16	(	(	PUNCT
cana-1998	417	17	~1	~1	X
cana-1998	417	18	�	�	NOUN
cana-1998	417	19	1	1	NUM
cana-1998	417	20	~2	~2	NOUN
cana-1998	417	21	)	)	PUNCT
cana-1998	417	22	)	)	PUNCT
cana-1998	417	23	�	�	PROPN
cana-1998	417	24	max{νz(~1	max{νz(~1	NUM
cana-1998	417	25	)	)	PUNCT
cana-1998	417	26	·	·	PUNCT
cana-1998	417	27	ei2πγz	ei2πγz	PROPN
cana-1998	417	28	(	(	PUNCT
cana-1998	417	29	~1	~1	ADJ
cana-1998	417	30	)	)	PUNCT
cana-1998	417	31	,	,	PUNCT
cana-1998	417	32	νz(~2	νz(~2	NOUN
cana-1998	417	33	)	)	PUNCT
cana-1998	417	34	·	·	PUNCT
cana-1998	417	35	ei2πγz	ei2πγz	PROPN
cana-1998	417	36	(	(	PUNCT
cana-1998	417	37	~2	~2	NOUN
cana-1998	417	38	)	)	PUNCT
cana-1998	417	39	}	}	PUNCT
cana-1998	417	40	.	.	PUNCT
cana-1998	418	1	for	for	ADP
cana-1998	418	2	t	t	PROPN
cana-1998	418	3	,	,	PUNCT
cana-1998	418	4	s	s	PART
cana-1998	418	5	∈	∈	PROPN
cana-1998	418	6	d[0	d[0	ADJ
cana-1998	418	7	,	,	PUNCT
cana-1998	418	8	1	1	X
cana-1998	418	9	]	]	PUNCT
cana-1998	418	10	such	such	ADJ
cana-1998	418	11	that	that	SCONJ
cana-1998	418	12	µz((~1	µz((~1	PUNCT
cana-1998	418	13	�	�	PROPN
cana-1998	418	14	1	1	NUM
cana-1998	418	15	~2	~2	NOUN
cana-1998	418	16	)	)	PUNCT
cana-1998	418	17	)	)	PUNCT
cana-1998	419	1	·	·	PUNCT
cana-1998	419	2	ei2πβz	ei2πβz	PROPN
cana-1998	419	3	(	(	PUNCT
cana-1998	419	4	(	(	PUNCT
cana-1998	419	5	~1	~1	X
cana-1998	419	6	�	�	NOUN
cana-1998	419	7	1	1	NUM
cana-1998	419	8	~2	~2	NOUN
cana-1998	419	9	)	)	PUNCT
cana-1998	419	10	)	)	PUNCT
cana-1998	419	11	≺	≺	NOUN
cana-1998	419	12	t	t	PROPN
cana-1998	419	13	�	�	PROPN
cana-1998	419	14	min{µz(~1	min{µz(~1	NUM
cana-1998	419	15	)	)	PUNCT
cana-1998	419	16	·	·	PUNCT
cana-1998	419	17	ei2πβz	ei2πβz	PROPN
cana-1998	419	18	(	(	PUNCT
cana-1998	419	19	~1	~1	ADV
cana-1998	419	20	)	)	PUNCT
cana-1998	419	21	,	,	PUNCT
cana-1998	419	22	µz(~2	µz(~2	NOUN
cana-1998	419	23	)	)	PUNCT
cana-1998	419	24	·	·	PUNCT
cana-1998	419	25	ei2πβz	ei2πβz	PROPN
cana-1998	419	26	(	(	PUNCT
cana-1998	419	27	~2	~2	NOUN
cana-1998	419	28	)	)	PUNCT
cana-1998	419	29	}	}	PUNCT
cana-1998	419	30	andri	andri	PROPN
cana-1998	419	31	z((~1	z((~1	PROPN
cana-1998	419	32	�	�	PROPN
cana-1998	419	33	1~2	1~2	NUM
cana-1998	419	34	)	)	PUNCT
cana-1998	419	35	)	)	PUNCT
cana-1998	419	36	·	·	PUNCT
cana-1998	419	37	ei2πiiz	ei2πiiz	PROPN
cana-1998	419	38	(	(	PUNCT
cana-1998	419	39	(	(	PUNCT
cana-1998	419	40	~1	~1	X
cana-1998	419	41	�	�	NOUN
cana-1998	419	42	1~2	1~2	NUM
cana-1998	419	43	)	)	PUNCT
cana-1998	419	44	)	)	PUNCT
cana-1998	419	45	≺	≺	NOUN
cana-1998	419	46	t	t	PROPN
cana-1998	419	47	�	�	PROPN
cana-1998	419	48	riz(~1)·ei2πi	riz(~1)·ei2πi	ADV
cana-1998	419	49	i	i	PRON
cana-1998	419	50	z	z	NOUN
cana-1998	419	51	(	(	PUNCT
cana-1998	419	52	~1)+riz(~2)·ei2πi	~1)+riz(~2)·ei2πi	PUNCT
cana-1998	419	53	i	i	PRON
cana-1998	419	54	z	z	PROPN
cana-1998	419	55	(	(	PUNCT
cana-1998	419	56	~2	~2	NOUN
cana-1998	419	57	)	)	PUNCT
cana-1998	419	58	2	2	NUM
cana-1998	419	59	and	and	CCONJ
cana-1998	419	60	νz((~1	νz((~1	NOUN
cana-1998	419	61	�	�	NOUN
cana-1998	419	62	1~2	1~2	NUM
cana-1998	419	63	)	)	PUNCT
cana-1998	419	64	)	)	PUNCT
cana-1998	419	65	·	·	PUNCT
cana-1998	419	66	ei2πγz	ei2πγz	X
cana-1998	419	67	(	(	PUNCT
cana-1998	419	68	(	(	PUNCT
cana-1998	419	69	~1	~1	X
cana-1998	419	70	�	�	NOUN
cana-1998	419	71	1~2	1~2	NUM
cana-1998	419	72	)	)	PUNCT
cana-1998	419	73	)	)	PUNCT
cana-1998	419	74	�	�	PROPN
cana-1998	419	75	s	s	PART
cana-1998	419	76	�	�	PROPN
cana-1998	419	77	max{νz(~1	max{νz(~1	NUM
cana-1998	419	78	)	)	PUNCT
cana-1998	419	79	·	·	PUNCT
cana-1998	419	80	ei2πγz	ei2πγz	PROPN
cana-1998	419	81	(	(	PUNCT
cana-1998	419	82	~1	~1	ADJ
cana-1998	419	83	)	)	PUNCT
cana-1998	419	84	,	,	PUNCT
cana-1998	419	85	νz(~2)·ei2πγz	νz(~2)·ei2πγz	NOUN
cana-1998	419	86	(	(	PUNCT
cana-1998	419	87	~2	~2	NOUN
cana-1998	419	88	)	)	PUNCT
cana-1998	419	89	}	}	PUNCT
cana-1998	419	90	.	.	PUNCT
cana-1998	420	1	thus,~1	thus,~1	PROPN
cana-1998	420	2	,	,	PUNCT
cana-1998	420	3	~2	~2	NOUN
cana-1998	420	4	∈	∈	PROPN
cana-1998	420	5	r(t	r(t	NOUN
cana-1998	420	6	,	,	PUNCT
cana-1998	420	7	s),but	s),but	NOUN
cana-1998	420	8	~1	~1	X
cana-1998	420	9	�	�	VERB
cana-1998	420	10	1~2	1~2	NUM
cana-1998	420	11	/∈	/∈	PUNCT
cana-1998	420	12	r(t	r(t	NOUN
cana-1998	420	13	,	,	PUNCT
cana-1998	420	14	s	s	NOUN
cana-1998	420	15	)	)	PUNCT
cana-1998	420	16	.	.	PUNCT
cana-1998	421	1	this	this	PRON
cana-1998	421	2	contradicts	contradict	VERB
cana-1998	421	3	,	,	PUNCT
cana-1998	421	4	r(t	r(t	NOUN
cana-1998	421	5	,	,	PUNCT
cana-1998	421	6	s	s	PART
cana-1998	421	7	)	)	PUNCT
cana-1998	421	8	is	be	AUX
cana-1998	421	9	a	a	DET
cana-1998	421	10	sbs	sbs	NOUN
cana-1998	421	11	of	of	ADP
cana-1998	421	12	b.	b.	PROPN
cana-1998	421	13	therefore	therefore	ADV
cana-1998	421	14	µz((~1	µz((~1	PUNCT
cana-1998	421	15	�	�	PROPN
cana-1998	421	16	1~2))·ei2πβz	1~2))·ei2πβz	NUM
cana-1998	421	17	(	(	PUNCT
cana-1998	421	18	(	(	PUNCT
cana-1998	421	19	~1	~1	X
cana-1998	421	20	�	�	NOUN
cana-1998	421	21	1~2	1~2	NUM
cana-1998	421	22	)	)	PUNCT
cana-1998	421	23	)	)	PUNCT
cana-1998	421	24	�	�	PROPN
cana-1998	421	25	min{µz(~1)·ei2πβz	min{µz(~1)·ei2πβz	X
cana-1998	421	26	(	(	PUNCT
cana-1998	421	27	~1	~1	ADV
cana-1998	421	28	)	)	PUNCT
cana-1998	421	29	,	,	PUNCT
cana-1998	421	30	µz(~2	µz(~2	NOUN
cana-1998	421	31	)	)	PUNCT
cana-1998	421	32	·	·	PUNCT
cana-1998	421	33	ei2πβz	ei2πβz	PROPN
cana-1998	421	34	(	(	PUNCT
cana-1998	421	35	~2	~2	NOUN
cana-1998	421	36	)	)	PUNCT
cana-1998	421	37	}	}	PUNCT
cana-1998	421	38	and	and	CCONJ
cana-1998	421	39	νz((~1	νz((~1	X
cana-1998	421	40	�	�	PROPN
cana-1998	421	41	1	1	NUM
cana-1998	421	42	~2	~2	NOUN
cana-1998	421	43	)	)	PUNCT
cana-1998	421	44	)	)	PUNCT
cana-1998	421	45	·	·	PUNCT
cana-1998	421	46	ei2πγz	ei2πγz	PROPN
cana-1998	421	47	(	(	PUNCT
cana-1998	421	48	(	(	PUNCT
cana-1998	421	49	~1	~1	X
cana-1998	421	50	�	�	NOUN
cana-1998	421	51	1	1	NUM
cana-1998	421	52	~2	~2	NOUN
cana-1998	421	53	)	)	PUNCT
cana-1998	421	54	)	)	PUNCT
cana-1998	421	55	�	�	PROPN
cana-1998	421	56	max{νz(~1	max{νz(~1	NUM
cana-1998	421	57	)	)	PUNCT
cana-1998	421	58	·	·	PUNCT
cana-1998	421	59	ei2πγz	ei2πγz	PROPN
cana-1998	421	60	(	(	PUNCT
cana-1998	421	61	~1	~1	ADJ
cana-1998	421	62	)	)	PUNCT
cana-1998	421	63	,	,	PUNCT
cana-1998	421	64	νz(~2	νz(~2	NOUN
cana-1998	421	65	)	)	PUNCT
cana-1998	421	66	·	·	PUNCT
cana-1998	421	67	ei2πγz	ei2πγz	PROPN
cana-1998	421	68	(	(	PUNCT
cana-1998	421	69	~2	~2	NOUN
cana-1998	421	70	)	)	PUNCT
cana-1998	421	71	}	}	PUNCT
cana-1998	421	72	.	.	PUNCT
cana-1998	422	1	similarly,	similarly,	NOUN
cana-1998	422	2	�	�	PROPN
cana-1998	422	3	2	2	NUM
cana-1998	422	4	and	and	CCONJ
cana-1998	422	5	�	�	NOUN
cana-1998	422	6	3	3	NUM
cana-1998	422	7	cases	case	NOUN
cana-1998	422	8	.	.	PUNCT
cana-1998	423	1	hence	hence	ADV
cana-1998	423	2	r	r	NOUN
cana-1998	423	3	=	=	SYM
cana-1998	423	4	(	(	PUNCT
cana-1998	423	5	µz	µz	PROPN
cana-1998	423	6	·	·	PUNCT
cana-1998	423	7	ei2πβz	ei2πβz	PROPN
cana-1998	423	8	,	,	PUNCT
cana-1998	423	9	νz	νz	PROPN
cana-1998	423	10	·	·	SYM
cana-1998	423	11	ei2πγz	ei2πγz	PROPN
cana-1998	423	12	)	)	PUNCT
cana-1998	423	13	is	be	AUX
cana-1998	423	14	a	a	DET
cana-1998	423	15	comcifsbs	comcifsbs	NOUN
cana-1998	423	16	of	of	ADP
cana-1998	423	17	b.	b.	PROPN
cana-1998	423	18	definition	definition	NOUN
cana-1998	423	19	3.13	3.13	NUM
cana-1998	423	20	.	.	PUNCT
cana-1998	424	1	let	let	VERB
cana-1998	424	2	(	(	PUNCT
cana-1998	424	3	b1	b1	NOUN
cana-1998	424	4	,	,	PUNCT
cana-1998	424	5	∨	∨	NOUN
cana-1998	424	6	1	1	NUM
cana-1998	424	7	,	,	PUNCT
cana-1998	424	8	∨	∨	NUM
cana-1998	424	9	2	2	NUM
cana-1998	424	10	,	,	PUNCT
cana-1998	424	11	∨	∨	NOUN
cana-1998	424	12	3	3	NUM
cana-1998	424	13	)	)	PUNCT
cana-1998	424	14	and	and	CCONJ
cana-1998	424	15	(	(	PUNCT
cana-1998	424	16	b2	b2	NOUN
cana-1998	424	17	,	,	PUNCT
cana-1998	424	18	∧	∧	PROPN
cana-1998	424	19	1	1	NUM
cana-1998	424	20	,	,	PUNCT
cana-1998	424	21	∧	∧	PROPN
cana-1998	424	22	2	2	NUM
cana-1998	424	23	,	,	PUNCT
cana-1998	424	24	∧	∧	NOUN
cana-1998	424	25	3	3	NUM
cana-1998	424	26	)	)	PUNCT
cana-1998	424	27	be	be	AUX
cana-1998	424	28	any	any	DET
cana-1998	424	29	two	two	NUM
cana-1998	424	30	bisemirings	bisemiring	NOUN
cana-1998	424	31	.	.	PUNCT
cana-1998	425	1	the	the	DET
cana-1998	425	2	mapping	mapping	NOUN
cana-1998	425	3	`	`	PUNCT
cana-1998	425	4	:	:	PUNCT
cana-1998	425	5	b1	b1	NOUN
cana-1998	425	6	→	→	SYM
cana-1998	425	7	b2	b2	NOUN
cana-1998	425	8	and	and	CCONJ
cana-1998	425	9	z	z	NOUN
cana-1998	425	10	be	be	AUX
cana-1998	425	11	any	any	DET
cana-1998	425	12	comcifsbs	comcifsbs	NOUN
cana-1998	425	13	in	in	ADP
cana-1998	425	14	b1	b1	NOUN
cana-1998	425	15	,	,	PUNCT
cana-1998	425	16	υ	υ	PROPN
cana-1998	425	17	be	be	AUX
cana-1998	425	18	any	any	DET
cana-1998	425	19	comcifsbs	comcifsbs	NOUN
cana-1998	425	20	in	in	ADP
cana-1998	425	21	`	`	PUNCT
cana-1998	425	22	(	(	PUNCT
cana-1998	425	23	b1	b1	NOUN
cana-1998	425	24	)	)	PUNCT
cana-1998	425	25	=	=	SYM
cana-1998	425	26	b2	b2	NOUN
cana-1998	425	27	.	.	PUNCT
cana-1998	426	1	if	if	SCONJ
cana-1998	426	2	µz	µz	NOUN
cana-1998	426	3	·	·	PUNCT
cana-1998	426	4	ei2πβz	ei2πβz	PROPN
cana-1998	426	5	=	=	PUNCT
cana-1998	427	1	[	[	X
cana-1998	427	2	µ̂z	µ̂z	X
cana-1998	427	3	·	·	SYM
cana-1998	427	4	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	427	5	,	,	PUNCT
cana-1998	427	6	ν̂z	ν̂z	PROPN
cana-1998	427	7	·	·	PUNCT
cana-1998	427	8	ei2πγ̂z	ei2πγ̂z	ADJ
cana-1998	427	9	,	,	PUNCT
cana-1998	427	10	µz	µz	PROPN
cana-1998	427	11	·	·	PUNCT
cana-1998	427	12	ei2πβz	ei2πβz	PROPN
cana-1998	427	13	,	,	PUNCT
cana-1998	427	14	µz	µz	PROPN
cana-1998	427	15	·	·	PUNCT
cana-1998	427	16	ei2πβz	ei2πβz	PROPN
cana-1998	427	17	,	,	PUNCT
cana-1998	427	18	νz	νz	PROPN
cana-1998	427	19	·	·	PUNCT
cana-1998	427	20	ei2πγz	ei2πγz	PROPN
cana-1998	427	21	is	be	AUX
cana-1998	427	22	a	a	DET
cana-1998	427	23	comcif	comcif	NOUN
cana-1998	427	24	in	in	ADP
cana-1998	427	25	b1	b1	PROPN
cana-1998	427	26	,	,	PUNCT
cana-1998	427	27	thenrυ	thenrυ	PROPN
cana-1998	427	28	is	be	AUX
cana-1998	427	29	a	a	DET
cana-1998	427	30	comcif	comcif	NOUN
cana-1998	427	31	in	in	ADP
cana-1998	427	32	b2,defined	b2,define	VERB
cana-1998	427	33	by	by	ADP
cana-1998	427	34	µ̂υ(ð	µ̂υ(ð	NOUN
cana-1998	427	35	)	)	PUNCT
cana-1998	427	36	·	·	PUNCT
cana-1998	427	37	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	427	38	(	(	PUNCT
cana-1998	427	39	ð	ð	X
cana-1998	427	40	)	)	PUNCT
cana-1998	428	1	=	=	PRON
cana-1998	428	2	{	{	PUNCT
cana-1998	428	3	sup	sup	NOUN
cana-1998	428	4	µ̂z(~	µ̂z(~	ADV
cana-1998	428	5	)	)	PUNCT
cana-1998	428	6	·	·	PUNCT
cana-1998	428	7	ei2πβ̂z	ei2πβ̂z	PROPN
cana-1998	428	8	(	(	PUNCT
cana-1998	428	9	~	~	PUNCT
cana-1998	428	10	)	)	PUNCT
cana-1998	428	11	if	if	SCONJ
cana-1998	428	12	~	~	PUNCT
cana-1998	428	13	∈	∈	PROPN
cana-1998	428	14	`	`	PUNCT
cana-1998	428	15	−1ð	−1ð	PROPN
cana-1998	428	16	0	0	PROPN
cana-1998	428	17	otherwise	otherwise	ADV
cana-1998	428	18	ν̂υ(ð	ν̂υ(ð	PROPN
cana-1998	428	19	)	)	PUNCT
cana-1998	428	20	·	·	PUNCT
cana-1998	429	1	ei2πγ̂z	ei2πγ̂z	PROPN
cana-1998	429	2	(	(	PUNCT
cana-1998	429	3	ð	ð	X
cana-1998	429	4	)	)	PUNCT
cana-1998	429	5	=	=	PRON
cana-1998	429	6	{	{	PUNCT
cana-1998	429	7	inf	inf	NOUN
cana-1998	429	8	ν̂z(~	ν̂z(~	ADV
cana-1998	429	9	)	)	PUNCT
cana-1998	429	10	·	·	PUNCT
cana-1998	430	1	ei2πγ̂z	ei2πγ̂z	INTJ
cana-1998	430	2	(	(	PUNCT
cana-1998	430	3	~	~	NOUN
cana-1998	430	4	)	)	PUNCT
cana-1998	430	5	if	if	SCONJ
cana-1998	430	6	~	~	PUNCT
cana-1998	430	7	∈	∈	PROPN
cana-1998	430	8	`	`	PUNCT
cana-1998	430	9	−1ð	−1ð	PROPN
cana-1998	430	10	1	1	NUM
cana-1998	430	11	otherwise	otherwise	ADV
cana-1998	430	12	µυ(ð	µυ(ð	NUM
cana-1998	430	13	)	)	PUNCT
cana-1998	430	14	·	·	PUNCT
cana-1998	430	15	ei2πβz	ei2πβz	PROPN
cana-1998	430	16	(	(	PUNCT
cana-1998	430	17	ð	ð	X
cana-1998	430	18	)	)	PUNCT
cana-1998	430	19	=	=	NOUN
cana-1998	430	20	{	{	PUNCT
cana-1998	430	21	supµz(~	supµz(~	ADV
cana-1998	430	22	)	)	PUNCT
cana-1998	430	23	·	·	PUNCT
cana-1998	430	24	ei2πβz	ei2πβz	PROPN
cana-1998	430	25	(	(	PUNCT
cana-1998	430	26	~	~	PUNCT
cana-1998	430	27	)	)	PUNCT
cana-1998	430	28	if	if	SCONJ
cana-1998	430	29	~	~	PUNCT
cana-1998	430	30	∈	∈	PROPN
cana-1998	430	31	`	`	PUNCT
cana-1998	430	32	−1ð	−1ð	PROPN
cana-1998	430	33	0	0	PROPN
cana-1998	430	34	otherwise	otherwise	ADV
cana-1998	430	35	νυ(ð	νυ(ð	PUNCT
cana-1998	430	36	)	)	PUNCT
cana-1998	430	37	·	·	PUNCT
cana-1998	430	38	ei2πγz	ei2πγz	PROPN
cana-1998	430	39	(	(	PUNCT
cana-1998	430	40	ð	ð	PROPN
cana-1998	430	41	)	)	PUNCT
cana-1998	430	42	=	=	PRON
cana-1998	430	43	{	{	PUNCT
cana-1998	430	44	inf	inf	NOUN
cana-1998	430	45	νz(~	νz(~	PROPN
cana-1998	430	46	)	)	PUNCT
cana-1998	430	47	·	·	PUNCT
cana-1998	430	48	ei2πγz	ei2πγz	PROPN
cana-1998	430	49	(	(	PUNCT
cana-1998	430	50	~	~	NOUN
cana-1998	430	51	)	)	PUNCT
cana-1998	430	52	if	if	SCONJ
cana-1998	430	53	~	~	PUNCT
cana-1998	430	54	∈	∈	PROPN
cana-1998	430	55	`	`	PUNCT
cana-1998	430	56	−1ð	−1ð	PROPN
cana-1998	430	57	1	1	NUM
cana-1998	430	58	otherwise	otherwise	ADV
cana-1998	430	59	for	for	ADP
cana-1998	430	60	all	all	DET
cana-1998	430	61	~	~	PUNCT
cana-1998	430	62	∈	∈	NOUN
cana-1998	430	63	b1	b1	NOUN
cana-1998	430	64	and	and	CCONJ
cana-1998	430	65	ð	ð	PROPN
cana-1998	430	66	∈	∈	PROPN
cana-1998	430	67	b2	b2	NOUN
cana-1998	430	68	is	be	AUX
cana-1998	430	69	represents	represent	VERB
cana-1998	430	70	the	the	DET
cana-1998	430	71	image	image	NOUN
cana-1998	430	72	of	of	ADP
cana-1998	430	73	rz	rz	NOUN
cana-1998	430	74	under	under	ADP
cana-1998	430	75	`	`	PUNCT
cana-1998	430	76	.	.	PUNCT
cana-1998	431	1	similarly	similarly	ADV
cana-1998	431	2	,	,	PUNCT
cana-1998	431	3	if	if	SCONJ
cana-1998	431	4	rυ	rυ	ADV
cana-1998	431	5	·	·	PUNCT
cana-1998	431	6	ei2πiυ	ei2πiυ	NOUN
cana-1998	431	7	=	=	PUNCT
cana-1998	432	1	[	[	X
cana-1998	432	2	µ̂υ	µ̂υ	ADP
cana-1998	432	3	·	·	PUNCT
cana-1998	432	4	ei2πβ̂z	ei2πβ̂z	ADJ
cana-1998	432	5	,	,	PUNCT
cana-1998	432	6	ν̂υ	ν̂υ	NOUN
cana-1998	432	7	·	·	PUNCT
cana-1998	432	8	ei2πγ̂υ	ei2πγ̂υ	X
cana-1998	432	9	]	]	X
cana-1998	432	10	,	,	PUNCT
cana-1998	432	11	rυ	rυ	NUM
cana-1998	432	12	·	·	PUNCT
cana-1998	432	13	ei2πiυ	ei2πiυ	NOUN
cana-1998	433	1	,	,	PUNCT
cana-1998	433	2	µυ	µυ	PRON
cana-1998	433	3	·	·	PUNCT
cana-1998	433	4	ei2πβz	ei2πβz	PROPN
cana-1998	433	5	,	,	PUNCT
cana-1998	433	6	νυ	νυ	PROPN
cana-1998	433	7	·	·	PUNCT
cana-1998	434	1	ei2πγυ	ei2πγυ	PROPN
cana-1998	434	2	is	be	AUX
cana-1998	434	3	a	a	DET
cana-1998	434	4	comcif	comcif	NOUN
cana-1998	434	5	in	in	ADP
cana-1998	434	6	b2,then	b2,then	PROPN
cana-1998	434	7	comcif	comcif	PROPN
cana-1998	434	8	rz	rz	NOUN
cana-1998	434	9	=	=	PUNCT
cana-1998	434	10	`	`	PUNCT
cana-1998	434	11	◦	◦	NOUN
cana-1998	434	12	rυ	rυ	NUM
cana-1998	434	13	in	in	ADP
cana-1998	434	14	b1	b1	PROPN
cana-1998	434	15	ie	ie	ADV
cana-1998	434	16	,	,	PUNCT
cana-1998	434	17	the	the	DET
cana-1998	434	18	comcif	comcif	NOUN
cana-1998	434	19	defined	define	VERB
cana-1998	434	20	by	by	ADP
cana-1998	434	21	rz(~	rz(~	ADJ
cana-1998	434	22	)	)	PUNCT
cana-1998	434	23	·	·	PUNCT
cana-1998	434	24	ei2πiz(~),rυ(`(~	ei2πiz(~),rυ(`(~	X
cana-1998	434	25	)	)	PUNCT
cana-1998	434	26	)	)	PUNCT
cana-1998	434	27	·	·	PUNCT
cana-1998	435	1	ei2πiz(`(~	ei2πiz(`(~	X
cana-1998	435	2	)	)	PUNCT
cana-1998	435	3	)	)	PUNCT
cana-1998	435	4	,	,	PUNCT
cana-1998	435	5	rz	rz	NOUN
cana-1998	435	6	=	=	SYM
cana-1998	435	7	`	`	PUNCT
cana-1998	435	8	◦	◦	NOUN
cana-1998	435	9	rυ	rυ	NUM
cana-1998	435	10	in	in	ADP
cana-1998	435	11	b1	b1	NOUN
cana-1998	435	12	[	[	X
cana-1998	435	13	ie	ie	X
cana-1998	435	14	,	,	PUNCT
cana-1998	435	15	the	the	DET
cana-1998	435	16	comcif	comcif	NOUN
cana-1998	435	17	defined	define	VERB
cana-1998	435	18	by	by	ADP
cana-1998	435	19	rz(~	rz(~	ADJ
cana-1998	435	20	)	)	PUNCT
cana-1998	435	21	·	·	PUNCT
cana-1998	435	22	ei2πiz(~	ei2πiz(~	X
cana-1998	435	23	)	)	PUNCT
cana-1998	435	24	=	=	SYM
cana-1998	435	25	rυ(`(~	rυ(`(~	NOUN
cana-1998	435	26	)	)	PUNCT
cana-1998	435	27	)	)	PUNCT
cana-1998	435	28	·	·	PUNCT
cana-1998	436	1	ei2πiz(`(~	ei2πiz(`(~	X
cana-1998	436	2	)	)	PUNCT
cana-1998	436	3	)	)	PUNCT
cana-1998	436	4	is	be	AUX
cana-1998	436	5	represents	represent	VERB
cana-1998	436	6	the	the	DET
cana-1998	436	7	preimage	preimage	NOUN
cana-1998	436	8	ofrυ	ofrυ	VERB
cana-1998	436	9	under	under	ADP
cana-1998	436	10	`	`	PUNCT
cana-1998	436	11	.	.	PUNCT
cana-1998	437	1	theorem	theorem	VERB
cana-1998	437	2	3.14	3.14	NUM
cana-1998	437	3	.	.	PUNCT
cana-1998	438	1	the	the	DET
cana-1998	438	2	homomorphic	homomorphic	ADJ
cana-1998	438	3	image	image	NOUN
cana-1998	438	4	of	of	ADP
cana-1998	438	5	every	every	DET
cana-1998	438	6	comcifsbs	comcifsbs	NOUN
cana-1998	438	7	is	be	AUX
cana-1998	438	8	a	a	DET
cana-1998	438	9	comcifsbs	comcifsbs	NOUN
cana-1998	438	10	.	.	PUNCT
cana-1998	439	1	proof	proof	NOUN
cana-1998	439	2	.	.	PUNCT
cana-1998	440	1	the	the	DET
cana-1998	440	2	mapping	mapping	NOUN
cana-1998	440	3	`	`	PUNCT
cana-1998	440	4	:	:	PUNCT
cana-1998	440	5	b1	b1	PROPN
cana-1998	440	6	→	→	SYM
cana-1998	440	7	b2	b2	NOUN
cana-1998	440	8	be	be	VERB
cana-1998	440	9	any	any	DET
cana-1998	440	10	homomorphism	homomorphism	NOUN
cana-1998	440	11	.	.	PUNCT
cana-1998	441	1	now	now	ADV
cana-1998	441	2	,	,	PUNCT
cana-1998	441	3	`	`	PUNCT
cana-1998	441	4	(	(	PUNCT
cana-1998	441	5	(	(	PUNCT
cana-1998	441	6	~	~	PUNCT
cana-1998	441	7	∨	∨	X
cana-1998	441	8	1	1	NUM
cana-1998	441	9	ð	ð	X
cana-1998	441	10	)	)	PUNCT
cana-1998	441	11	)	)	PUNCT
cana-1998	442	1	=	=	PUNCT
cana-1998	442	2	`	`	PUNCT
cana-1998	442	3	(	(	PUNCT
cana-1998	442	4	~	~	NOUN
cana-1998	442	5	)	)	PUNCT
cana-1998	442	6	∧	∧	NOUN
cana-1998	442	7	1	1	NUM
cana-1998	442	8	`	`	PUNCT
cana-1998	442	9	(	(	PUNCT
cana-1998	442	10	ð),`((~	ð),`((~	PROPN
cana-1998	442	11	∨	∨	NUM
cana-1998	442	12	2	2	NUM
cana-1998	442	13	ð	ð	X
cana-1998	442	14	)	)	PUNCT
cana-1998	442	15	)	)	PUNCT
cana-1998	443	1	=	=	PUNCT
cana-1998	443	2	`	`	PUNCT
cana-1998	443	3	(	(	PUNCT
cana-1998	443	4	~	~	NOUN
cana-1998	443	5	)	)	PUNCT
cana-1998	443	6	∧	∧	NOUN
cana-1998	443	7	2	2	NUM
cana-1998	443	8	`	`	PUNCT
cana-1998	443	9	(	(	PUNCT
cana-1998	443	10	ð	ð	X
cana-1998	443	11	)	)	PUNCT
cana-1998	443	12	and	and	CCONJ
cana-1998	443	13	`	`	PUNCT
cana-1998	443	14	(	(	PUNCT
cana-1998	443	15	(	(	PUNCT
cana-1998	443	16	~	~	PUNCT
cana-1998	443	17	∨	∨	X
cana-1998	443	18	3	3	NUM
cana-1998	443	19	ð	ð	X
cana-1998	443	20	)	)	PUNCT
cana-1998	443	21	)	)	PUNCT
cana-1998	444	1	=	=	PUNCT
cana-1998	444	2	`	`	PUNCT
cana-1998	444	3	(	(	PUNCT
cana-1998	444	4	~	~	NOUN
cana-1998	444	5	)	)	PUNCT
cana-1998	444	6	∧	∧	NOUN
cana-1998	444	7	3	3	NUM
cana-1998	444	8	`	`	PUNCT
cana-1998	444	9	(	(	PUNCT
cana-1998	444	10	ð	ð	X
cana-1998	444	11	)	)	PUNCT
cana-1998	444	12	for	for	ADP
cana-1998	444	13	all	all	DET
cana-1998	444	14	~,ð	~,ð	PROPN
cana-1998	444	15	∈	∈	PROPN
cana-1998	444	16	b1	b1	NOUN
cana-1998	444	17	.	.	PUNCT
cana-1998	445	1	let	let	VERB
cana-1998	445	2	υ̂	υ̂	PRON
cana-1998	445	3	=	=	SYM
cana-1998	445	4	`	`	PUNCT
cana-1998	445	5	(	(	PUNCT
cana-1998	445	6	z),z	z),z	X
cana-1998	445	7	is	be	AUX
cana-1998	445	8	any	any	DET
cana-1998	445	9	comcifsbs	comcifsbs	NOUN
cana-1998	445	10	of	of	ADP
cana-1998	445	11	b1	b1	NOUN
cana-1998	445	12	.	.	PUNCT
cana-1998	446	1	let	let	VERB
cana-1998	446	2	`	`	PUNCT
cana-1998	446	3	(	(	PUNCT
cana-1998	446	4	~),`(ð	~),`(ð	ADP
cana-1998	446	5	)	)	PUNCT
cana-1998	446	6	∈	∈	NOUN
cana-1998	446	7	b2	b2	NOUN
cana-1998	446	8	.	.	PUNCT
cana-1998	447	1	let	let	VERB
cana-1998	447	2	~	~	PUNCT
cana-1998	447	3	∈	∈	NOUN
cana-1998	447	4	u`−1(`(~	u`−1(`(~	NOUN
cana-1998	447	5	)	)	PUNCT
cana-1998	447	6	)	)	PUNCT
cana-1998	448	1	and	and	CCONJ
cana-1998	448	2	ð	ð	PROPN
cana-1998	448	3	∈	∈	PROPN
cana-1998	448	4	`	`	PUNCT
cana-1998	448	5	−1(`(ð	−1(`(ð	PROPN
cana-1998	448	6	)	)	PUNCT
cana-1998	448	7	)	)	PUNCT
cana-1998	448	8	be	be	AUX
cana-1998	448	9	such	such	ADJ
cana-1998	448	10	that	that	SCONJ
cana-1998	448	11	µ̂z(~	µ̂z(~	PROPN
cana-1998	448	12	)	)	PUNCT
cana-1998	448	13	·	·	PUNCT
cana-1998	449	1	ei2πβ̂z(~	ei2πβ̂z(~	X
cana-1998	449	2	)	)	PUNCT
cana-1998	449	3	=	=	SYM
cana-1998	449	4	sup	sup	NOUN
cana-1998	449	5	~∈`−1(`(~	~∈`−1(`(~	NOUN
cana-1998	449	6	)	)	PUNCT
cana-1998	449	7	)	)	PUNCT
cana-1998	450	1	µ̂z(~	µ̂z(~	ADV
cana-1998	450	2	)	)	PUNCT
cana-1998	450	3	·	·	PUNCT
cana-1998	451	1	ei2πβ̂z(~	ei2πβ̂z(~	X
cana-1998	451	2	)	)	PUNCT
cana-1998	451	3	and	and	CCONJ
cana-1998	451	4	µ̂z(ð	µ̂z(ð	NUM
cana-1998	451	5	)	)	PUNCT
cana-1998	451	6	·	·	PUNCT
cana-1998	452	1	ei2πβ̂z(ð	ei2πβ̂z(ð	X
cana-1998	452	2	)	)	PUNCT
cana-1998	452	3	=	=	SYM
cana-1998	452	4	sup	sup	NOUN
cana-1998	452	5	~∈`−1(`(ð	~∈`−1(`(ð	ADP
cana-1998	452	6	)	)	PUNCT
cana-1998	452	7	)	)	PUNCT
cana-1998	453	1	µ̂z(~	µ̂z(~	ADV
cana-1998	453	2	)	)	PUNCT
cana-1998	453	3	·	·	PUNCT
cana-1998	453	4	ei2πβ̂z(~	ei2πβ̂z(~	NOUN
cana-1998	453	5	)	)	PUNCT
cana-1998	453	6	.	.	PUNCT
cana-1998	454	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	454	2	429	429	NUM
cana-1998	454	3	communications	communication	NOUN
cana-1998	454	4	on	on	ADP
cana-1998	454	5	applied	apply	VERB
cana-1998	454	6	nonlinear	nonlinear	ADJ
cana-1998	454	7	analysis	analysis	NOUN
cana-1998	454	8	issn	issn	NOUN
cana-1998	454	9	:	:	PUNCT
cana-1998	454	10	1074	1074	NUM
cana-1998	454	11	-	-	PUNCT
cana-1998	454	12	133x	133x	NUM
cana-1998	454	13	vol	vol	NOUN
cana-1998	454	14	32	32	NUM
cana-1998	454	15	no	no	NOUN
cana-1998	454	16	.	.	NOUN
cana-1998	454	17	3	3	NUM
cana-1998	454	18	(	(	PUNCT
cana-1998	454	19	2025	2025	NUM
cana-1998	454	20	)	)	PUNCT
cana-1998	454	21	now	now	ADV
cana-1998	454	22	,	,	PUNCT
cana-1998	454	23	µ̂υ((`(~	µ̂υ((`(~	NOUN
cana-1998	454	24	)	)	PUNCT
cana-1998	454	25	∧	∧	NOUN
cana-1998	454	26	1	1	NUM
cana-1998	454	27	`	`	PUNCT
cana-1998	454	28	(	(	PUNCT
cana-1998	454	29	ð	ð	NUM
cana-1998	454	30	)	)	PUNCT
cana-1998	454	31	)	)	PUNCT
cana-1998	454	32	)	)	PUNCT
cana-1998	454	33	·	·	PUNCT
cana-1998	455	1	ei2πβ̂z((`(~	ei2πβ̂z((`(~	NOUN
cana-1998	455	2	)	)	PUNCT
cana-1998	455	3	∧	∧	NOUN
cana-1998	455	4	1	1	NUM
cana-1998	455	5	`	`	PUNCT
cana-1998	455	6	(	(	PUNCT
cana-1998	455	7	ð	ð	NUM
cana-1998	455	8	)	)	PUNCT
cana-1998	455	9	)	)	PUNCT
cana-1998	455	10	)	)	PUNCT
cana-1998	456	1	=	=	SYM
cana-1998	456	2	sup	sup	NOUN
cana-1998	456	3	(	(	PUNCT
cana-1998	456	4	~′	~′	NOUN
cana-1998	456	5	)	)	PUNCT
cana-1998	456	6	∈`−1(`(~	∈`−1(`(~	NOUN
cana-1998	456	7	)	)	PUNCT
cana-1998	456	8	∧	∧	NOUN
cana-1998	456	9	1	1	NUM
cana-1998	456	10	`	`	PUNCT
cana-1998	456	11	(	(	PUNCT
cana-1998	456	12	ð	ð	NUM
cana-1998	456	13	)	)	PUNCT
cana-1998	456	14	)	)	PUNCT
cana-1998	456	15	µ̂z(~′	µ̂z(~′	NOUN
cana-1998	456	16	)	)	PUNCT
cana-1998	456	17	·	·	PUNCT
cana-1998	456	18	ei2πβ̂z(~′	ei2πβ̂z(~′	NOUN
cana-1998	456	19	)	)	PUNCT
cana-1998	456	20	=	=	SYM
cana-1998	456	21	sup	sup	NOUN
cana-1998	456	22	(	(	PUNCT
cana-1998	456	23	~′	~′	NOUN
cana-1998	456	24	)	)	PUNCT
cana-1998	456	25	∈`−1(`((~	∈`−1(`((~	X
cana-1998	456	26	∨	∨	NUM
cana-1998	456	27	1	1	NUM
cana-1998	456	28	ð	ð	X
cana-1998	456	29	)	)	PUNCT
cana-1998	456	30	)	)	PUNCT
cana-1998	456	31	µ̂z(~′	µ̂z(~′	NUM
cana-1998	456	32	)	)	PUNCT
cana-1998	456	33	·	·	PUNCT
cana-1998	456	34	ei2πβ̂z(~′	ei2πβ̂z(~′	NOUN
cana-1998	456	35	)	)	PUNCT
cana-1998	456	36	=	=	PUNCT
cana-1998	457	1	µ̂z((~	µ̂z((~	NUM
cana-1998	457	2	∨	∨	NUM
cana-1998	457	3	1	1	NUM
cana-1998	457	4	ð	ð	X
cana-1998	457	5	)	)	PUNCT
cana-1998	457	6	)	)	PUNCT
cana-1998	457	7	·	·	PUNCT
cana-1998	458	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	458	2	∨	∨	NUM
cana-1998	458	3	1	1	NUM
cana-1998	458	4	ð	ð	X
cana-1998	458	5	)	)	PUNCT
cana-1998	458	6	)	)	PUNCT
cana-1998	458	7	�	�	PROPN
cana-1998	458	8	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	458	9	)	)	PUNCT
cana-1998	458	10	·	·	PUNCT
cana-1998	459	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	459	2	)	)	PUNCT
cana-1998	459	3	,	,	PUNCT
cana-1998	459	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	459	5	)	)	PUNCT
cana-1998	459	6	·	·	PUNCT
cana-1998	459	7	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	459	8	)	)	PUNCT
cana-1998	459	9	}	}	PUNCT
cana-1998	459	10	=	=	SYM
cana-1998	459	11	min{µ̂υ`(~	min{µ̂υ`(~	PROPN
cana-1998	459	12	)	)	PUNCT
cana-1998	459	13	·	·	PUNCT
cana-1998	460	1	ei2πβ̂υ`(~	ei2πβ̂υ`(~	X
cana-1998	460	2	)	)	PUNCT
cana-1998	460	3	,	,	PUNCT
cana-1998	460	4	µ̂υ`(ð	µ̂υ`(ð	VERB
cana-1998	460	5	)	)	PUNCT
cana-1998	460	6	·	·	PUNCT
cana-1998	460	7	ei2πβ̂υ`(ð	ei2πβ̂υ`(ð	ADP
cana-1998	460	8	)	)	PUNCT
cana-1998	460	9	}	}	PUNCT
cana-1998	460	10	.	.	PUNCT
cana-1998	461	1	thus,µ̂υ((`(~	thus,µ̂υ((`(~	X
cana-1998	461	2	)	)	PUNCT
cana-1998	461	3	∧	∧	NOUN
cana-1998	461	4	1	1	NUM
cana-1998	461	5	`	`	PUNCT
cana-1998	461	6	(	(	PUNCT
cana-1998	461	7	ð)))·ei2πβ̂υ((`(~	ð)))·ei2πβ̂υ((`(~	NOUN
cana-1998	461	8	)	)	PUNCT
cana-1998	461	9	∧	∧	NOUN
cana-1998	461	10	1	1	NUM
cana-1998	461	11	`	`	PUNCT
cana-1998	461	12	(	(	PUNCT
cana-1998	461	13	ð	ð	NUM
cana-1998	461	14	)	)	PUNCT
cana-1998	461	15	)	)	PUNCT
cana-1998	461	16	)	)	PUNCT
cana-1998	461	17	�	�	PROPN
cana-1998	461	18	min{µ̂υ`(~)·ei2πβ̂υ`(~	min{µ̂υ`(~)·ei2πβ̂υ`(~	PROPN
cana-1998	461	19	)	)	PUNCT
cana-1998	461	20	,	,	PUNCT
cana-1998	461	21	µ̂υ`(ð)·ei2πβ̂υ`(ð	µ̂υ`(ð)·ei2πβ̂υ`(ð	NOUN
cana-1998	461	22	)	)	PUNCT
cana-1998	461	23	}	}	PUNCT
cana-1998	461	24	.	.	PUNCT
cana-1998	462	1	similarly,µ̂υ((`(~	similarly,µ̂υ((`(~	NOUN
cana-1998	462	2	)	)	PUNCT
cana-1998	463	1	∧	∧	NOUN
cana-1998	463	2	2	2	NUM
cana-1998	463	3	`	`	PUNCT
cana-1998	463	4	(	(	PUNCT
cana-1998	463	5	ð)))·ei2πβ̂υ((`(~	ð)))·ei2πβ̂υ((`(~	NOUN
cana-1998	463	6	)	)	PUNCT
cana-1998	463	7	∧	∧	NOUN
cana-1998	463	8	2	2	NUM
cana-1998	463	9	`	`	PUNCT
cana-1998	463	10	(	(	PUNCT
cana-1998	463	11	ð	ð	NUM
cana-1998	463	12	)	)	PUNCT
cana-1998	463	13	)	)	PUNCT
cana-1998	463	14	)	)	PUNCT
cana-1998	463	15	�	�	PROPN
cana-1998	463	16	min{µ̂υ`(~)·ei2πβ̂υ`(~	min{µ̂υ`(~)·ei2πβ̂υ`(~	PROPN
cana-1998	463	17	)	)	PUNCT
cana-1998	463	18	,	,	PUNCT
cana-1998	463	19	µ̂υ`(ð)·ei2πβ̂υ`(ð	µ̂υ`(ð)·ei2πβ̂υ`(ð	NOUN
cana-1998	463	20	)	)	PUNCT
cana-1998	463	21	}	}	PUNCT
cana-1998	463	22	and	and	CCONJ
cana-1998	463	23	µ̂υ((`(~	µ̂υ((`(~	ADV
cana-1998	463	24	)	)	PUNCT
cana-1998	463	25	∧	∧	NOUN
cana-1998	463	26	3	3	NUM
cana-1998	463	27	`	`	PUNCT
cana-1998	463	28	(	(	PUNCT
cana-1998	463	29	ð	ð	NUM
cana-1998	463	30	)	)	PUNCT
cana-1998	463	31	)	)	PUNCT
cana-1998	463	32	)	)	PUNCT
cana-1998	463	33	·	·	PUNCT
cana-1998	464	1	ei2πβ̂υ((`(~	ei2πβ̂υ((`(~	PROPN
cana-1998	464	2	)	)	PUNCT
cana-1998	464	3	∧	∧	NOUN
cana-1998	464	4	3	3	NUM
cana-1998	464	5	`	`	PUNCT
cana-1998	464	6	(	(	PUNCT
cana-1998	464	7	ð	ð	NUM
cana-1998	464	8	)	)	PUNCT
cana-1998	464	9	)	)	PUNCT
cana-1998	464	10	)	)	PUNCT
cana-1998	464	11	�	�	PROPN
cana-1998	464	12	min{µ̂υ`(~	min{µ̂υ`(~	PROPN
cana-1998	464	13	)	)	PUNCT
cana-1998	464	14	·	·	PUNCT
cana-1998	464	15	ei2πβ̂υ`(~	ei2πβ̂υ`(~	X
cana-1998	464	16	)	)	PUNCT
cana-1998	464	17	,	,	PUNCT
cana-1998	464	18	µ̂υ`(ð	µ̂υ`(ð	VERB
cana-1998	464	19	)	)	PUNCT
cana-1998	464	20	·	·	PUNCT
cana-1998	464	21	ei2πβ̂υ`(ð	ei2πβ̂υ`(ð	ADP
cana-1998	464	22	)	)	PUNCT
cana-1998	464	23	}	}	PUNCT
cana-1998	464	24	.	.	PUNCT
cana-1998	465	1	let	let	VERB
cana-1998	465	2	`	`	PUNCT
cana-1998	465	3	(	(	PUNCT
cana-1998	465	4	~),`(ð	~),`(ð	ADP
cana-1998	465	5	)	)	PUNCT
cana-1998	465	6	∈	∈	NOUN
cana-1998	465	7	b2	b2	NOUN
cana-1998	465	8	.	.	PUNCT
cana-1998	466	1	let	let	VERB
cana-1998	466	2	~	~	PUNCT
cana-1998	466	3	∈	∈	PROPN
cana-1998	466	4	`	`	PUNCT
cana-1998	466	5	−1(`(~	−1(`(~	NOUN
cana-1998	466	6	)	)	PUNCT
cana-1998	466	7	)	)	PUNCT
cana-1998	467	1	and	and	CCONJ
cana-1998	467	2	ð	ð	PROPN
cana-1998	467	3	∈	∈	PROPN
cana-1998	467	4	`	`	PUNCT
cana-1998	467	5	−1(`(ð	−1(`(ð	PROPN
cana-1998	467	6	)	)	PUNCT
cana-1998	467	7	)	)	PUNCT
cana-1998	467	8	be	be	AUX
cana-1998	467	9	such	such	ADJ
cana-1998	467	10	that	that	SCONJ
cana-1998	467	11	ν̂z(~	ν̂z(~	NOUN
cana-1998	467	12	)	)	PUNCT
cana-1998	467	13	·	·	PUNCT
cana-1998	468	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	468	2	)	)	PUNCT
cana-1998	468	3	=	=	SYM
cana-1998	468	4	inf	inf	PROPN
cana-1998	468	5	~∈`−1(`(~	~∈`−1(`(~	PROPN
cana-1998	468	6	)	)	PUNCT
cana-1998	468	7	)	)	PUNCT
cana-1998	469	1	ν̂z(~	ν̂z(~	ADV
cana-1998	469	2	)	)	PUNCT
cana-1998	469	3	·	·	PUNCT
cana-1998	470	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	470	2	)	)	PUNCT
cana-1998	470	3	and	and	CCONJ
cana-1998	470	4	ν̂z(ð	ν̂z(ð	NUM
cana-1998	470	5	)	)	PUNCT
cana-1998	470	6	·	·	PUNCT
cana-1998	470	7	ei2πγ̂z(ð	ei2πγ̂z(ð	X
cana-1998	470	8	)	)	PUNCT
cana-1998	470	9	=	=	SYM
cana-1998	470	10	inf	inf	NOUN
cana-1998	470	11	~∈`−1(`(ð	~∈`−1(`(ð	ADP
cana-1998	470	12	)	)	PUNCT
cana-1998	470	13	)	)	PUNCT
cana-1998	470	14	ν̂z(~	ν̂z(~	ADV
cana-1998	470	15	)	)	PUNCT
cana-1998	470	16	·	·	PUNCT
cana-1998	471	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	471	2	)	)	PUNCT
cana-1998	471	3	.	.	PUNCT
cana-1998	472	1	now	now	ADV
cana-1998	472	2	,	,	PUNCT
cana-1998	472	3	ν̂υ((`(~	ν̂υ((`(~	NOUN
cana-1998	472	4	)	)	PUNCT
cana-1998	472	5	∧	∧	NOUN
cana-1998	472	6	1	1	NUM
cana-1998	472	7	`	`	PUNCT
cana-1998	472	8	(	(	PUNCT
cana-1998	472	9	ð	ð	NUM
cana-1998	472	10	)	)	PUNCT
cana-1998	472	11	)	)	PUNCT
cana-1998	472	12	)	)	PUNCT
cana-1998	472	13	·	·	PUNCT
cana-1998	473	1	ei2πγ̂υ((`(~	ei2πγ̂υ((`(~	NOUN
cana-1998	473	2	)	)	PUNCT
cana-1998	473	3	∧	∧	NOUN
cana-1998	473	4	1	1	NUM
cana-1998	473	5	`	`	PUNCT
cana-1998	473	6	(	(	PUNCT
cana-1998	473	7	ð	ð	NUM
cana-1998	473	8	)	)	PUNCT
cana-1998	473	9	)	)	PUNCT
cana-1998	473	10	)	)	PUNCT
cana-1998	474	1	=	=	X
cana-1998	474	2	inf	inf	NOUN
cana-1998	474	3	(	(	PUNCT
cana-1998	474	4	~′	~′	NOUN
cana-1998	474	5	)	)	PUNCT
cana-1998	474	6	∈`−1(`(~	∈`−1(`(~	NOUN
cana-1998	474	7	)	)	PUNCT
cana-1998	474	8	∧	∧	NOUN
cana-1998	474	9	1	1	NUM
cana-1998	474	10	`	`	PUNCT
cana-1998	474	11	(	(	PUNCT
cana-1998	474	12	ð	ð	NUM
cana-1998	474	13	)	)	PUNCT
cana-1998	474	14	)	)	PUNCT
cana-1998	474	15	ν̂z(~′	ν̂z(~′	PROPN
cana-1998	474	16	)	)	PUNCT
cana-1998	474	17	·	·	PUNCT
cana-1998	474	18	ei2πγ̂z(~′	ei2πγ̂z(~′	NOUN
cana-1998	474	19	)	)	PUNCT
cana-1998	474	20	=	=	SYM
cana-1998	474	21	inf	inf	NOUN
cana-1998	474	22	(	(	PUNCT
cana-1998	474	23	~′	~′	NOUN
cana-1998	474	24	)	)	PUNCT
cana-1998	474	25	∈`−1(`((~	∈`−1(`((~	X
cana-1998	474	26	∨	∨	NUM
cana-1998	474	27	1	1	NUM
cana-1998	474	28	ð	ð	X
cana-1998	474	29	)	)	PUNCT
cana-1998	474	30	)	)	PUNCT
cana-1998	474	31	ν̂z(~′	ν̂z(~′	PROPN
cana-1998	474	32	)	)	PUNCT
cana-1998	474	33	·	·	PUNCT
cana-1998	474	34	ei2πγ̂z(~′	ei2πγ̂z(~′	NOUN
cana-1998	474	35	)	)	PUNCT
cana-1998	474	36	=	=	PUNCT
cana-1998	474	37	ν̂z((~	ν̂z((~	NUM
cana-1998	474	38	∨	∨	NUM
cana-1998	474	39	1	1	NUM
cana-1998	474	40	ð	ð	X
cana-1998	474	41	)	)	PUNCT
cana-1998	474	42	)	)	PUNCT
cana-1998	474	43	·	·	PUNCT
cana-1998	474	44	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	474	45	∨	∨	NUM
cana-1998	474	46	1	1	NUM
cana-1998	474	47	ð	ð	X
cana-1998	474	48	)	)	PUNCT
cana-1998	474	49	)	)	PUNCT
cana-1998	474	50	�	�	PROPN
cana-1998	474	51	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	474	52	)	)	PUNCT
cana-1998	474	53	·	·	PUNCT
cana-1998	475	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	475	2	)	)	PUNCT
cana-1998	475	3	,	,	PUNCT
cana-1998	475	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	475	5	)	)	PUNCT
cana-1998	475	6	·	·	PUNCT
cana-1998	475	7	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	475	8	)	)	PUNCT
cana-1998	475	9	}	}	PUNCT
cana-1998	475	10	=	=	SYM
cana-1998	475	11	max{ν̂υ`(~	max{ν̂υ`(~	NOUN
cana-1998	475	12	)	)	PUNCT
cana-1998	475	13	·	·	PUNCT
cana-1998	476	1	ei2πγ̂υ`(~	ei2πγ̂υ`(~	X
cana-1998	476	2	)	)	PUNCT
cana-1998	476	3	,	,	PUNCT
cana-1998	476	4	ν̂υ`(ð	ν̂υ`(ð	NOUN
cana-1998	476	5	)	)	PUNCT
cana-1998	476	6	·	·	PUNCT
cana-1998	476	7	ei2πγ̂υ`(ð	ei2πγ̂υ`(ð	NUM
cana-1998	476	8	)	)	PUNCT
cana-1998	476	9	}	}	PUNCT
cana-1998	476	10	.	.	PUNCT
cana-1998	477	1	thus	thus	ADV
cana-1998	477	2	,	,	PUNCT
cana-1998	477	3	ν̂υ((`(~	ν̂υ((`(~	NOUN
cana-1998	477	4	)	)	PUNCT
cana-1998	477	5	∧	∧	NOUN
cana-1998	477	6	1	1	NUM
cana-1998	477	7	`	`	PUNCT
cana-1998	477	8	(	(	PUNCT
cana-1998	477	9	ð)))·ei2πγ̂υ((`(~	ð)))·ei2πγ̂υ((`(~	NOUN
cana-1998	477	10	)	)	PUNCT
cana-1998	477	11	∧	∧	NOUN
cana-1998	477	12	1	1	NUM
cana-1998	477	13	`	`	PUNCT
cana-1998	477	14	(	(	PUNCT
cana-1998	477	15	ð	ð	NUM
cana-1998	477	16	)	)	PUNCT
cana-1998	477	17	)	)	PUNCT
cana-1998	477	18	)	)	PUNCT
cana-1998	477	19	�	�	PROPN
cana-1998	477	20	max{ν̂υ`(~)·ei2πγ̂υ`(~	max{ν̂υ`(~)·ei2πγ̂υ`(~	PROPN
cana-1998	477	21	)	)	PUNCT
cana-1998	477	22	,	,	PUNCT
cana-1998	477	23	ν̂υ`(ð)·ei2πγ̂υ`(ð	ν̂υ`(ð)·ei2πγ̂υ`(ð	NOUN
cana-1998	477	24	)	)	PUNCT
cana-1998	477	25	}	}	PUNCT
cana-1998	477	26	.	.	PUNCT
cana-1998	478	1	similarly	similarly	ADV
cana-1998	478	2	,	,	PUNCT
cana-1998	478	3	ν̂υ((`(~	ν̂υ((`(~	NOUN
cana-1998	478	4	)	)	PUNCT
cana-1998	478	5	∧	∧	NOUN
cana-1998	478	6	2	2	NUM
cana-1998	478	7	`	`	PUNCT
cana-1998	478	8	(	(	PUNCT
cana-1998	478	9	ð)))·ei2πγ̂υ((`(~	ð)))·ei2πγ̂υ((`(~	NOUN
cana-1998	478	10	)	)	PUNCT
cana-1998	478	11	∧	∧	NOUN
cana-1998	478	12	2	2	NUM
cana-1998	478	13	`	`	PUNCT
cana-1998	478	14	(	(	PUNCT
cana-1998	478	15	ð	ð	NUM
cana-1998	478	16	)	)	PUNCT
cana-1998	478	17	)	)	PUNCT
cana-1998	478	18	)	)	PUNCT
cana-1998	479	1	�	�	PROPN
cana-1998	479	2	max{ν̂υ`(~)·ei2πγ̂υ`(~	max{ν̂υ`(~)·ei2πγ̂υ`(~	PROPN
cana-1998	479	3	)	)	PUNCT
cana-1998	479	4	,	,	PUNCT
cana-1998	479	5	ν̂υ`(ð)·ei2πγ̂υ`(ð	ν̂υ`(ð)·ei2πγ̂υ`(ð	NOUN
cana-1998	479	6	)	)	PUNCT
cana-1998	479	7	}	}	PUNCT
cana-1998	479	8	and	and	CCONJ
cana-1998	479	9	ν̂υ((`(~	ν̂υ((`(~	NOUN
cana-1998	479	10	)	)	PUNCT
cana-1998	479	11	∧	∧	NOUN
cana-1998	479	12	3	3	NUM
cana-1998	479	13	`	`	PUNCT
cana-1998	479	14	(	(	PUNCT
cana-1998	479	15	ð	ð	NUM
cana-1998	479	16	)	)	PUNCT
cana-1998	479	17	)	)	PUNCT
cana-1998	479	18	)	)	PUNCT
cana-1998	479	19	·	·	PUNCT
cana-1998	480	1	ei2πγ̂υ((`(~	ei2πγ̂υ((`(~	NOUN
cana-1998	480	2	)	)	PUNCT
cana-1998	480	3	∧	∧	NOUN
cana-1998	480	4	1	1	NUM
cana-1998	480	5	`	`	PUNCT
cana-1998	480	6	(	(	PUNCT
cana-1998	480	7	ð	ð	NUM
cana-1998	480	8	)	)	PUNCT
cana-1998	480	9	)	)	PUNCT
cana-1998	480	10	)	)	PUNCT
cana-1998	480	11	�	�	PROPN
cana-1998	480	12	max{ν̂υ`(~	max{ν̂υ`(~	PROPN
cana-1998	480	13	)	)	PUNCT
cana-1998	480	14	·	·	PUNCT
cana-1998	480	15	ei2πγ̂υ`(ð	ei2πγ̂υ`(ð	NUM
cana-1998	480	16	)	)	PUNCT
cana-1998	480	17	,	,	PUNCT
cana-1998	480	18	ν̂υ`(ð	ν̂υ`(ð	NOUN
cana-1998	480	19	)	)	PUNCT
cana-1998	480	20	·	·	PUNCT
cana-1998	480	21	ei2πγ̂υ`(ð	ei2πγ̂υ`(ð	NUM
cana-1998	480	22	)	)	PUNCT
cana-1998	480	23	}	}	PUNCT
cana-1998	480	24	.	.	PUNCT
cana-1998	481	1	the	the	DET
cana-1998	481	2	mapping	mapping	NOUN
cana-1998	481	3	`	`	PUNCT
cana-1998	481	4	:	:	PUNCT
cana-1998	481	5	b1	b1	PROPN
cana-1998	481	6	→	→	SYM
cana-1998	481	7	b2	b2	NOUN
cana-1998	481	8	be	be	VERB
cana-1998	481	9	any	any	DET
cana-1998	481	10	homomorphism	homomorphism	NOUN
cana-1998	481	11	.	.	PUNCT
cana-1998	482	1	now	now	ADV
cana-1998	482	2	,	,	PUNCT
cana-1998	482	3	`	`	PUNCT
cana-1998	482	4	(	(	PUNCT
cana-1998	482	5	(	(	PUNCT
cana-1998	482	6	~	~	PUNCT
cana-1998	482	7	∨	∨	X
cana-1998	482	8	1	1	NUM
cana-1998	482	9	ð	ð	X
cana-1998	482	10	)	)	PUNCT
cana-1998	482	11	)	)	PUNCT
cana-1998	483	1	=	=	PUNCT
cana-1998	483	2	`	`	PUNCT
cana-1998	483	3	(	(	PUNCT
cana-1998	483	4	~	~	NOUN
cana-1998	483	5	)	)	PUNCT
cana-1998	483	6	∧	∧	NOUN
cana-1998	483	7	1	1	NUM
cana-1998	483	8	`	`	PUNCT
cana-1998	483	9	(	(	PUNCT
cana-1998	483	10	ð),`((~	ð),`((~	PROPN
cana-1998	483	11	∨	∨	NUM
cana-1998	483	12	2	2	NUM
cana-1998	483	13	ð	ð	X
cana-1998	483	14	)	)	PUNCT
cana-1998	483	15	)	)	PUNCT
cana-1998	484	1	=	=	PUNCT
cana-1998	484	2	`	`	PUNCT
cana-1998	484	3	(	(	PUNCT
cana-1998	484	4	~	~	NOUN
cana-1998	484	5	)	)	PUNCT
cana-1998	484	6	∧	∧	NOUN
cana-1998	484	7	2	2	NUM
cana-1998	484	8	`	`	PUNCT
cana-1998	484	9	(	(	PUNCT
cana-1998	484	10	ð	ð	X
cana-1998	484	11	)	)	PUNCT
cana-1998	484	12	and	and	CCONJ
cana-1998	484	13	`	`	PUNCT
cana-1998	484	14	(	(	PUNCT
cana-1998	484	15	(	(	PUNCT
cana-1998	484	16	~	~	PUNCT
cana-1998	484	17	∨	∨	X
cana-1998	484	18	3	3	NUM
cana-1998	484	19	ð	ð	X
cana-1998	484	20	)	)	PUNCT
cana-1998	484	21	)	)	PUNCT
cana-1998	485	1	=	=	PUNCT
cana-1998	485	2	`	`	PUNCT
cana-1998	485	3	(	(	PUNCT
cana-1998	485	4	~	~	NOUN
cana-1998	485	5	)	)	PUNCT
cana-1998	485	6	∧	∧	NOUN
cana-1998	485	7	3	3	NUM
cana-1998	485	8	`	`	PUNCT
cana-1998	485	9	(	(	PUNCT
cana-1998	485	10	ð	ð	X
cana-1998	485	11	)	)	PUNCT
cana-1998	485	12	for	for	ADP
cana-1998	485	13	all	all	DET
cana-1998	485	14	~,ð	~,ð	PROPN
cana-1998	485	15	∈	∈	PROPN
cana-1998	485	16	b1	b1	NOUN
cana-1998	485	17	.	.	PUNCT
cana-1998	486	1	let	let	VERB
cana-1998	486	2	υ	υ	NOUN
cana-1998	486	3	=	=	PUNCT
cana-1998	486	4	`	`	PUNCT
cana-1998	486	5	(	(	PUNCT
cana-1998	486	6	z),z	z),z	X
cana-1998	486	7	is	be	AUX
cana-1998	486	8	any	any	DET
cana-1998	486	9	comcifsbs	comcifsbs	NOUN
cana-1998	486	10	of	of	ADP
cana-1998	486	11	b1	b1	NOUN
cana-1998	486	12	.	.	PUNCT
cana-1998	487	1	let	let	VERB
cana-1998	487	2	`	`	PUNCT
cana-1998	487	3	(	(	PUNCT
cana-1998	487	4	~),`(ð	~),`(ð	ADP
cana-1998	487	5	)	)	PUNCT
cana-1998	487	6	∈	∈	NOUN
cana-1998	487	7	b2	b2	NOUN
cana-1998	487	8	.	.	PUNCT
cana-1998	488	1	let	let	VERB
cana-1998	488	2	~	~	PUNCT
cana-1998	488	3	∈	∈	PROPN
cana-1998	488	4	`	`	PUNCT
cana-1998	488	5	−1(`(~	−1(`(~	NOUN
cana-1998	488	6	)	)	PUNCT
cana-1998	488	7	)	)	PUNCT
cana-1998	489	1	and	and	CCONJ
cana-1998	489	2	ð	ð	PROPN
cana-1998	489	3	∈	∈	PROPN
cana-1998	489	4	`	`	PUNCT
cana-1998	489	5	−1(`(ð	−1(`(ð	PROPN
cana-1998	489	6	)	)	PUNCT
cana-1998	489	7	)	)	PUNCT
cana-1998	489	8	be	be	AUX
cana-1998	489	9	such	such	ADJ
cana-1998	489	10	that	that	SCONJ
cana-1998	489	11	µz(~)·ei2πβz(~	µz(~)·ei2πβz(~	ADP
cana-1998	489	12	)	)	PUNCT
cana-1998	489	13	=	=	SYM
cana-1998	489	14	sup	sup	NOUN
cana-1998	489	15	~∈`−1(`(~	~∈`−1(`(~	NOUN
cana-1998	489	16	)	)	PUNCT
cana-1998	489	17	)	)	PUNCT
cana-1998	490	1	µz(~)·ei2πβz(~	µz(~)·ei2πβz(~	ADV
cana-1998	490	2	)	)	PUNCT
cana-1998	490	3	and	and	CCONJ
cana-1998	490	4	µz(ð	µz(ð	PUNCT
cana-1998	490	5	)	)	PUNCT
cana-1998	490	6	·	·	PUNCT
cana-1998	490	7	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	490	8	)	)	PUNCT
cana-1998	490	9	=	=	SYM
cana-1998	490	10	sup	sup	NOUN
cana-1998	490	11	~∈`−1(`(ð	~∈`−1(`(ð	ADP
cana-1998	490	12	)	)	PUNCT
cana-1998	490	13	)	)	PUNCT
cana-1998	490	14	µz(~	µz(~	ADV
cana-1998	490	15	)	)	PUNCT
cana-1998	490	16	·	·	PUNCT
cana-1998	490	17	ei2πβz(~	ei2πβz(~	ADV
cana-1998	490	18	)	)	PUNCT
cana-1998	490	19	.	.	PUNCT
cana-1998	491	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	491	2	430	430	NUM
cana-1998	491	3	communications	communication	NOUN
cana-1998	491	4	on	on	ADP
cana-1998	491	5	applied	apply	VERB
cana-1998	491	6	nonlinear	nonlinear	ADJ
cana-1998	491	7	analysis	analysis	NOUN
cana-1998	491	8	issn	issn	NOUN
cana-1998	491	9	:	:	PUNCT
cana-1998	491	10	1074	1074	NUM
cana-1998	491	11	-	-	PUNCT
cana-1998	491	12	133x	133x	NUM
cana-1998	491	13	vol	vol	NOUN
cana-1998	491	14	32	32	NUM
cana-1998	491	15	no	no	NOUN
cana-1998	491	16	.	.	NOUN
cana-1998	491	17	3	3	NUM
cana-1998	491	18	(	(	PUNCT
cana-1998	491	19	2025	2025	NUM
cana-1998	491	20	)	)	PUNCT
cana-1998	491	21	now	now	ADV
cana-1998	491	22	,	,	PUNCT
cana-1998	491	23	µυ((`(~	µυ((`(~	ADJ
cana-1998	491	24	)	)	PUNCT
cana-1998	491	25	∧	∧	NOUN
cana-1998	491	26	1	1	NUM
cana-1998	491	27	`	`	PUNCT
cana-1998	491	28	(	(	PUNCT
cana-1998	491	29	ð	ð	NUM
cana-1998	491	30	)	)	PUNCT
cana-1998	491	31	)	)	PUNCT
cana-1998	491	32	)	)	PUNCT
cana-1998	491	33	·	·	PUNCT
cana-1998	492	1	ei2πβz((`(~	ei2πβz((`(~	X
cana-1998	492	2	)	)	PUNCT
cana-1998	492	3	∧	∧	PROPN
cana-1998	492	4	1	1	NUM
cana-1998	492	5	`	`	PUNCT
cana-1998	492	6	(	(	PUNCT
cana-1998	492	7	ð	ð	NUM
cana-1998	492	8	)	)	PUNCT
cana-1998	492	9	)	)	PUNCT
cana-1998	492	10	)	)	PUNCT
cana-1998	493	1	=	=	SYM
cana-1998	493	2	sup	sup	NOUN
cana-1998	493	3	(	(	PUNCT
cana-1998	493	4	~′	~′	NOUN
cana-1998	493	5	)	)	PUNCT
cana-1998	493	6	∈`−1(`(~	∈`−1(`(~	NOUN
cana-1998	493	7	)	)	PUNCT
cana-1998	493	8	∧	∧	NOUN
cana-1998	493	9	1	1	NUM
cana-1998	493	10	`	`	PUNCT
cana-1998	493	11	(	(	PUNCT
cana-1998	493	12	ð	ð	NUM
cana-1998	493	13	)	)	PUNCT
cana-1998	493	14	)	)	PUNCT
cana-1998	493	15	µz(~′	µz(~′	NOUN
cana-1998	493	16	)	)	PUNCT
cana-1998	493	17	·	·	PUNCT
cana-1998	493	18	ei2πβz(~′	ei2πβz(~′	NOUN
cana-1998	493	19	)	)	PUNCT
cana-1998	493	20	=	=	SYM
cana-1998	493	21	sup	sup	NOUN
cana-1998	493	22	(	(	PUNCT
cana-1998	493	23	~′	~′	NOUN
cana-1998	493	24	)	)	PUNCT
cana-1998	493	25	∈`−1(`((~	∈`−1(`((~	X
cana-1998	493	26	∨	∨	NUM
cana-1998	493	27	1	1	NUM
cana-1998	493	28	ð	ð	NUM
cana-1998	493	29	)	)	PUNCT
cana-1998	493	30	)	)	PUNCT
cana-1998	493	31	µz(~′	µz(~′	NOUN
cana-1998	493	32	)	)	PUNCT
cana-1998	493	33	·	·	PUNCT
cana-1998	493	34	ei2πβz(~′	ei2πβz(~′	NOUN
cana-1998	493	35	)	)	PUNCT
cana-1998	493	36	=	=	PUNCT
cana-1998	493	37	µz((~	µz((~	NUM
cana-1998	493	38	∨	∨	NUM
cana-1998	493	39	1	1	NUM
cana-1998	493	40	ð	ð	NUM
cana-1998	493	41	)	)	PUNCT
cana-1998	493	42	)	)	PUNCT
cana-1998	493	43	·	·	PUNCT
cana-1998	494	1	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	494	2	∨	∨	NUM
cana-1998	494	3	1	1	NUM
cana-1998	494	4	ð	ð	X
cana-1998	494	5	)	)	PUNCT
cana-1998	494	6	)	)	PUNCT
cana-1998	494	7	�	�	PROPN
cana-1998	494	8	min{µz(~	min{µz(~	PROPN
cana-1998	494	9	)	)	PUNCT
cana-1998	494	10	·	·	PUNCT
cana-1998	494	11	ei2πβz(~	ei2πβz(~	ADV
cana-1998	494	12	)	)	PUNCT
cana-1998	494	13	,	,	PUNCT
cana-1998	494	14	µz(ð	µz(ð	PUNCT
cana-1998	494	15	)	)	PUNCT
cana-1998	494	16	·	·	PUNCT
cana-1998	494	17	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	494	18	)	)	PUNCT
cana-1998	494	19	}	}	PUNCT
cana-1998	494	20	=	=	SYM
cana-1998	494	21	min{µυ`(~	min{µυ`(~	NOUN
cana-1998	494	22	)	)	PUNCT
cana-1998	495	1	·	·	PUNCT
cana-1998	495	2	ei2πβυ`(~	ei2πβυ`(~	PROPN
cana-1998	495	3	)	)	PUNCT
cana-1998	495	4	,	,	PUNCT
cana-1998	495	5	µυ`(ð	µυ`(ð	PROPN
cana-1998	495	6	)	)	PUNCT
cana-1998	495	7	·	·	PUNCT
cana-1998	495	8	ei2πβυ`(ð	ei2πβυ`(ð	ADJ
cana-1998	495	9	)	)	PUNCT
cana-1998	495	10	}	}	PUNCT
cana-1998	495	11	.	.	PUNCT
cana-1998	496	1	thus	thus	ADV
cana-1998	496	2	,	,	PUNCT
cana-1998	496	3	µυ((`(~	µυ((`(~	ADJ
cana-1998	496	4	)	)	PUNCT
cana-1998	496	5	∧	∧	NOUN
cana-1998	496	6	1	1	NUM
cana-1998	496	7	`	`	PUNCT
cana-1998	496	8	(	(	PUNCT
cana-1998	496	9	ð)))·ei2πβυ((`(~	ð)))·ei2πβυ((`(~	NUM
cana-1998	496	10	)	)	PUNCT
cana-1998	496	11	∧	∧	NOUN
cana-1998	496	12	1	1	NUM
cana-1998	496	13	`	`	PUNCT
cana-1998	496	14	(	(	PUNCT
cana-1998	496	15	ð	ð	NUM
cana-1998	496	16	)	)	PUNCT
cana-1998	496	17	)	)	PUNCT
cana-1998	496	18	)	)	PUNCT
cana-1998	496	19	�	�	PROPN
cana-1998	496	20	min{µυ`(~)·ei2πβυ`(~	min{µυ`(~)·ei2πβυ`(~	NOUN
cana-1998	496	21	)	)	PUNCT
cana-1998	496	22	,	,	PUNCT
cana-1998	496	23	µυ`(ð)·ei2πβυ`(ð	µυ`(ð)·ei2πβυ`(ð	ADP
cana-1998	496	24	)	)	PUNCT
cana-1998	496	25	}	}	PUNCT
cana-1998	496	26	.	.	PUNCT
cana-1998	497	1	similarly,µυ((`(~	similarly,µυ((`(~	NOUN
cana-1998	497	2	)	)	PUNCT
cana-1998	498	1	∧	∧	NOUN
cana-1998	498	2	2	2	NUM
cana-1998	498	3	`	`	PUNCT
cana-1998	498	4	(	(	PUNCT
cana-1998	498	5	ð)))·ei2πβυ((`(~	ð)))·ei2πβυ((`(~	NUM
cana-1998	498	6	)	)	PUNCT
cana-1998	499	1	∧	∧	NOUN
cana-1998	499	2	2	2	NUM
cana-1998	499	3	`	`	PUNCT
cana-1998	499	4	(	(	PUNCT
cana-1998	499	5	ð	ð	NUM
cana-1998	499	6	)	)	PUNCT
cana-1998	499	7	)	)	PUNCT
cana-1998	499	8	)	)	PUNCT
cana-1998	499	9	�	�	PROPN
cana-1998	499	10	min{µυ`(~)·ei2πβυ`(~	min{µυ`(~)·ei2πβυ`(~	NOUN
cana-1998	499	11	)	)	PUNCT
cana-1998	499	12	,	,	PUNCT
cana-1998	499	13	µυ`(ð)·ei2πβυ`(ð	µυ`(ð)·ei2πβυ`(ð	ADP
cana-1998	499	14	)	)	PUNCT
cana-1998	499	15	}	}	PUNCT
cana-1998	499	16	and	and	CCONJ
cana-1998	499	17	µυ((`(~	µυ((`(~	NOUN
cana-1998	499	18	)	)	PUNCT
cana-1998	499	19	∧	∧	NOUN
cana-1998	499	20	3	3	NUM
cana-1998	499	21	`	`	PUNCT
cana-1998	499	22	(	(	PUNCT
cana-1998	499	23	ð	ð	NUM
cana-1998	499	24	)	)	PUNCT
cana-1998	499	25	)	)	PUNCT
cana-1998	499	26	)	)	PUNCT
cana-1998	499	27	·	·	PUNCT
cana-1998	500	1	ei2πβυ((`(~	ei2πβυ((`(~	X
cana-1998	500	2	)	)	PUNCT
cana-1998	500	3	∧	∧	PROPN
cana-1998	500	4	3	3	NUM
cana-1998	500	5	`	`	PUNCT
cana-1998	500	6	(	(	PUNCT
cana-1998	500	7	ð	ð	NUM
cana-1998	500	8	)	)	PUNCT
cana-1998	500	9	)	)	PUNCT
cana-1998	500	10	)	)	PUNCT
cana-1998	500	11	�	�	PROPN
cana-1998	500	12	min{µυ`(~	min{µυ`(~	PROPN
cana-1998	500	13	)	)	PUNCT
cana-1998	500	14	·	·	PUNCT
cana-1998	501	1	ei2πβυ`(~	ei2πβυ`(~	PROPN
cana-1998	501	2	)	)	PUNCT
cana-1998	501	3	,	,	PUNCT
cana-1998	501	4	µυ`(ð	µυ`(ð	PROPN
cana-1998	501	5	)	)	PUNCT
cana-1998	501	6	·	·	PUNCT
cana-1998	501	7	ei2πβυ`(ð	ei2πβυ`(ð	ADJ
cana-1998	501	8	)	)	PUNCT
cana-1998	501	9	}	}	PUNCT
cana-1998	501	10	.	.	PUNCT
cana-1998	502	1	let	let	VERB
cana-1998	502	2	`	`	PUNCT
cana-1998	502	3	(	(	PUNCT
cana-1998	502	4	~),`(ð	~),`(ð	ADP
cana-1998	502	5	)	)	PUNCT
cana-1998	502	6	∈	∈	NOUN
cana-1998	502	7	b2	b2	NOUN
cana-1998	502	8	.	.	PUNCT
cana-1998	503	1	let	let	VERB
cana-1998	503	2	~	~	PUNCT
cana-1998	503	3	∈	∈	PROPN
cana-1998	503	4	`	`	PUNCT
cana-1998	503	5	−1(`(~	−1(`(~	NOUN
cana-1998	503	6	)	)	PUNCT
cana-1998	503	7	)	)	PUNCT
cana-1998	504	1	and	and	CCONJ
cana-1998	504	2	ð	ð	PROPN
cana-1998	504	3	∈	∈	PROPN
cana-1998	504	4	`	`	PUNCT
cana-1998	504	5	−1(`(ð	−1(`(ð	PROPN
cana-1998	504	6	)	)	PUNCT
cana-1998	504	7	)	)	PUNCT
cana-1998	504	8	be	be	AUX
cana-1998	504	9	such	such	ADJ
cana-1998	504	10	that	that	SCONJ
cana-1998	504	11	νz(~	νz(~	NUM
cana-1998	504	12	)	)	PUNCT
cana-1998	504	13	·	·	PUNCT
cana-1998	505	1	ei2πγz(~	ei2πγz(~	ADV
cana-1998	505	2	)	)	PUNCT
cana-1998	505	3	=	=	SYM
cana-1998	505	4	inf	inf	PROPN
cana-1998	505	5	~∈`−1(`(~	~∈`−1(`(~	PROPN
cana-1998	505	6	)	)	PUNCT
cana-1998	505	7	)	)	PUNCT
cana-1998	506	1	νz(~	νz(~	NUM
cana-1998	506	2	)	)	PUNCT
cana-1998	506	3	·	·	PUNCT
cana-1998	506	4	ei2πγz(~	ei2πγz(~	ADV
cana-1998	506	5	)	)	PUNCT
cana-1998	506	6	and	and	CCONJ
cana-1998	506	7	νz(ð	νz(ð	NUM
cana-1998	506	8	)	)	PUNCT
cana-1998	506	9	·	·	PUNCT
cana-1998	506	10	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	506	11	)	)	PUNCT
cana-1998	506	12	=	=	SYM
cana-1998	506	13	inf	inf	PROPN
cana-1998	506	14	~∈`−1(`(ð	~∈`−1(`(ð	ADP
cana-1998	506	15	)	)	PUNCT
cana-1998	506	16	)	)	PUNCT
cana-1998	506	17	νz(~	νz(~	NUM
cana-1998	506	18	)	)	PUNCT
cana-1998	506	19	·	·	PUNCT
cana-1998	506	20	ei2πγz(~	ei2πγz(~	ADV
cana-1998	506	21	)	)	PUNCT
cana-1998	506	22	.	.	PUNCT
cana-1998	507	1	now	now	ADV
cana-1998	507	2	,	,	PUNCT
cana-1998	507	3	νυ((`(~	νυ((`(~	PROPN
cana-1998	507	4	)	)	PUNCT
cana-1998	507	5	∧	∧	NOUN
cana-1998	507	6	1	1	NUM
cana-1998	507	7	`	`	PUNCT
cana-1998	507	8	(	(	PUNCT
cana-1998	507	9	ð	ð	NUM
cana-1998	507	10	)	)	PUNCT
cana-1998	507	11	)	)	PUNCT
cana-1998	507	12	)	)	PUNCT
cana-1998	507	13	·	·	PUNCT
cana-1998	508	1	ei2πγυ((`(~	ei2πγυ((`(~	NOUN
cana-1998	508	2	)	)	PUNCT
cana-1998	508	3	∧	∧	NOUN
cana-1998	508	4	1	1	NUM
cana-1998	508	5	`	`	PUNCT
cana-1998	508	6	(	(	PUNCT
cana-1998	508	7	ð	ð	NUM
cana-1998	508	8	)	)	PUNCT
cana-1998	508	9	)	)	PUNCT
cana-1998	508	10	)	)	PUNCT
cana-1998	509	1	=	=	X
cana-1998	509	2	inf	inf	NOUN
cana-1998	509	3	(	(	PUNCT
cana-1998	509	4	~′	~′	NOUN
cana-1998	509	5	)	)	PUNCT
cana-1998	509	6	∈`−1(`(~	∈`−1(`(~	NOUN
cana-1998	509	7	)	)	PUNCT
cana-1998	509	8	∧	∧	NOUN
cana-1998	509	9	1	1	NUM
cana-1998	509	10	`	`	PUNCT
cana-1998	509	11	(	(	PUNCT
cana-1998	509	12	ð	ð	NUM
cana-1998	509	13	)	)	PUNCT
cana-1998	509	14	)	)	PUNCT
cana-1998	509	15	νz(~′	νz(~′	PROPN
cana-1998	509	16	)	)	PUNCT
cana-1998	509	17	·	·	PUNCT
cana-1998	509	18	ei2πγz(~′	ei2πγz(~′	NOUN
cana-1998	509	19	)	)	PUNCT
cana-1998	509	20	=	=	SYM
cana-1998	509	21	inf	inf	NOUN
cana-1998	509	22	(	(	PUNCT
cana-1998	509	23	~′	~′	NOUN
cana-1998	509	24	)	)	PUNCT
cana-1998	509	25	∈`−1(`((~	∈`−1(`((~	X
cana-1998	509	26	∨	∨	NUM
cana-1998	509	27	1	1	NUM
cana-1998	509	28	ð	ð	X
cana-1998	509	29	)	)	PUNCT
cana-1998	509	30	)	)	PUNCT
cana-1998	509	31	νz(~′	νz(~′	PROPN
cana-1998	509	32	)	)	PUNCT
cana-1998	509	33	·	·	PUNCT
cana-1998	509	34	ei2πγz(~′	ei2πγz(~′	NOUN
cana-1998	509	35	)	)	PUNCT
cana-1998	509	36	=	=	SYM
cana-1998	509	37	νz((~	νz((~	X
cana-1998	509	38	∨	∨	NUM
cana-1998	509	39	1	1	NUM
cana-1998	509	40	ð	ð	X
cana-1998	509	41	)	)	PUNCT
cana-1998	509	42	)	)	PUNCT
cana-1998	509	43	·	·	PUNCT
cana-1998	509	44	ei2πγz((~	ei2πγz((~	X
cana-1998	509	45	∨	∨	NUM
cana-1998	509	46	1	1	NUM
cana-1998	509	47	ð	ð	X
cana-1998	509	48	)	)	PUNCT
cana-1998	509	49	)	)	PUNCT
cana-1998	509	50	�	�	PROPN
cana-1998	509	51	max{νz(~	max{νz(~	PROPN
cana-1998	509	52	)	)	PUNCT
cana-1998	509	53	·	·	PUNCT
cana-1998	509	54	ei2πγz(~	ei2πγz(~	ADV
cana-1998	509	55	)	)	PUNCT
cana-1998	509	56	,	,	PUNCT
cana-1998	509	57	νz(ð	νz(ð	X
cana-1998	509	58	)	)	PUNCT
cana-1998	509	59	·	·	PUNCT
cana-1998	509	60	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	509	61	)	)	PUNCT
cana-1998	509	62	}	}	PUNCT
cana-1998	509	63	=	=	SYM
cana-1998	509	64	max{νυ`(~	max{νυ`(~	PROPN
cana-1998	509	65	)	)	PUNCT
cana-1998	509	66	·	·	PUNCT
cana-1998	510	1	ei2πγυ`(~	ei2πγυ`(~	PROPN
cana-1998	510	2	)	)	PUNCT
cana-1998	510	3	,	,	PUNCT
cana-1998	510	4	νυ`(ð	νυ`(ð	PROPN
cana-1998	510	5	)	)	PUNCT
cana-1998	510	6	·	·	PUNCT
cana-1998	510	7	ei2πγυ`(ð	ei2πγυ`(ð	VERB
cana-1998	510	8	)	)	PUNCT
cana-1998	510	9	}	}	PUNCT
cana-1998	510	10	.	.	PUNCT
cana-1998	511	1	thus	thus	ADV
cana-1998	511	2	,	,	PUNCT
cana-1998	511	3	νυ((`(~	νυ((`(~	PROPN
cana-1998	511	4	)	)	PUNCT
cana-1998	511	5	∧	∧	NOUN
cana-1998	511	6	1	1	NUM
cana-1998	511	7	`	`	PUNCT
cana-1998	511	8	(	(	PUNCT
cana-1998	511	9	ð)))·ei2πγυ((`(~	ð)))·ei2πγυ((`(~	NOUN
cana-1998	511	10	)	)	PUNCT
cana-1998	511	11	∧	∧	NOUN
cana-1998	511	12	1	1	NUM
cana-1998	511	13	`	`	PUNCT
cana-1998	511	14	(	(	PUNCT
cana-1998	511	15	ð	ð	NUM
cana-1998	511	16	)	)	PUNCT
cana-1998	511	17	)	)	PUNCT
cana-1998	511	18	)	)	PUNCT
cana-1998	511	19	�	�	PROPN
cana-1998	511	20	max{νυ`(~)·ei2πγυ`(~	max{νυ`(~)·ei2πγυ`(~	NOUN
cana-1998	511	21	)	)	PUNCT
cana-1998	511	22	,	,	PUNCT
cana-1998	511	23	νυ`(ð)·ei2πγυ`(ð	νυ`(ð)·ei2πγυ`(ð	PROPN
cana-1998	511	24	)	)	PUNCT
cana-1998	511	25	}	}	PUNCT
cana-1998	511	26	.	.	PUNCT
cana-1998	512	1	similarly	similarly	ADV
cana-1998	512	2	,	,	PUNCT
cana-1998	512	3	νυ((`(~	νυ((`(~	PROPN
cana-1998	512	4	)	)	PUNCT
cana-1998	512	5	∧	∧	NOUN
cana-1998	512	6	2	2	NUM
cana-1998	512	7	`	`	PUNCT
cana-1998	512	8	(	(	PUNCT
cana-1998	512	9	ð)))·ei2πγυ((`(~	ð)))·ei2πγυ((`(~	NOUN
cana-1998	512	10	)	)	PUNCT
cana-1998	512	11	∧	∧	NOUN
cana-1998	512	12	2	2	NUM
cana-1998	512	13	`	`	PUNCT
cana-1998	512	14	(	(	PUNCT
cana-1998	512	15	ð	ð	NUM
cana-1998	512	16	)	)	PUNCT
cana-1998	512	17	)	)	PUNCT
cana-1998	512	18	)	)	PUNCT
cana-1998	512	19	�	�	PROPN
cana-1998	512	20	max{νυ`(~)·ei2πγυ`(~	max{νυ`(~)·ei2πγυ`(~	NOUN
cana-1998	512	21	)	)	PUNCT
cana-1998	512	22	,	,	PUNCT
cana-1998	512	23	νυ`(ð)·ei2πγυ`(ð	νυ`(ð)·ei2πγυ`(ð	PROPN
cana-1998	512	24	)	)	PUNCT
cana-1998	512	25	}	}	PUNCT
cana-1998	512	26	and	and	CCONJ
cana-1998	512	27	νυ((`(~	νυ((`(~	NOUN
cana-1998	512	28	)	)	PUNCT
cana-1998	512	29	∧	∧	NOUN
cana-1998	512	30	3	3	NUM
cana-1998	512	31	`	`	PUNCT
cana-1998	512	32	(	(	PUNCT
cana-1998	512	33	ð	ð	NUM
cana-1998	512	34	)	)	PUNCT
cana-1998	512	35	)	)	PUNCT
cana-1998	512	36	)	)	PUNCT
cana-1998	512	37	·	·	PUNCT
cana-1998	513	1	ei2πγυ((`(~	ei2πγυ((`(~	NOUN
cana-1998	513	2	)	)	PUNCT
cana-1998	513	3	∧	∧	NOUN
cana-1998	513	4	1	1	NUM
cana-1998	513	5	`	`	PUNCT
cana-1998	513	6	(	(	PUNCT
cana-1998	513	7	ð	ð	NUM
cana-1998	513	8	)	)	PUNCT
cana-1998	513	9	)	)	PUNCT
cana-1998	513	10	)	)	PUNCT
cana-1998	513	11	�	�	PROPN
cana-1998	513	12	max{νυ`(~	max{νυ`(~	PROPN
cana-1998	513	13	)	)	PUNCT
cana-1998	513	14	·	·	PUNCT
cana-1998	513	15	ei2πγυ`(ð	ei2πγυ`(ð	VERB
cana-1998	513	16	)	)	PUNCT
cana-1998	513	17	,	,	PUNCT
cana-1998	513	18	νυ`(ð	νυ`(ð	PROPN
cana-1998	513	19	)	)	PUNCT
cana-1998	513	20	·	·	PUNCT
cana-1998	513	21	ei2πγυ`(ð	ei2πγυ`(ð	VERB
cana-1998	513	22	)	)	PUNCT
cana-1998	513	23	}	}	PUNCT
cana-1998	513	24	.	.	PUNCT
cana-1998	514	1	thus	thus	ADV
cana-1998	514	2	,	,	PUNCT
cana-1998	514	3	υ	υ	PROPN
cana-1998	514	4	is	be	AUX
cana-1998	514	5	a	a	DET
cana-1998	514	6	comcifsbs	comcifsbs	NOUN
cana-1998	514	7	of	of	ADP
cana-1998	514	8	b2	b2	NOUN
cana-1998	514	9	.	.	PUNCT
cana-1998	515	1	theorem	theorem	VERB
cana-1998	515	2	3.15	3.15	NUM
cana-1998	515	3	.	.	PUNCT
cana-1998	516	1	the	the	DET
cana-1998	516	2	homomorphic	homomorphic	ADJ
cana-1998	516	3	preimage	preimage	NOUN
cana-1998	516	4	of	of	ADP
cana-1998	516	5	every	every	DET
cana-1998	516	6	comcifsbs	comcifsbs	NOUN
cana-1998	516	7	is	be	AUX
cana-1998	516	8	a	a	DET
cana-1998	516	9	comcifsbs	comcifsbs	NOUN
cana-1998	516	10	.	.	PUNCT
cana-1998	517	1	proof	proof	NOUN
cana-1998	517	2	.	.	PUNCT
cana-1998	518	1	the	the	DET
cana-1998	518	2	mapping	mapping	NOUN
cana-1998	518	3	`	`	PUNCT
cana-1998	518	4	:	:	PUNCT
cana-1998	518	5	b1	b1	PROPN
cana-1998	518	6	→	→	SYM
cana-1998	518	7	b2	b2	NOUN
cana-1998	518	8	be	be	VERB
cana-1998	518	9	a	a	DET
cana-1998	518	10	homomorphism	homomorphism	NOUN
cana-1998	518	11	.	.	PUNCT
cana-1998	519	1	now,`((~	now,`((~	X
cana-1998	519	2	∨	∨	X
cana-1998	519	3	1	1	NUM
cana-1998	519	4	ð	ð	NUM
cana-1998	519	5	)	)	PUNCT
cana-1998	519	6	)	)	PUNCT
cana-1998	520	1	=	=	PUNCT
cana-1998	520	2	`	`	PUNCT
cana-1998	520	3	(	(	PUNCT
cana-1998	520	4	~	~	NOUN
cana-1998	520	5	)	)	PUNCT
cana-1998	520	6	∧	∧	NOUN
cana-1998	520	7	1	1	NUM
cana-1998	520	8	`	`	PUNCT
cana-1998	520	9	(	(	PUNCT
cana-1998	520	10	ð),`((~	ð),`((~	PROPN
cana-1998	520	11	∨	∨	NUM
cana-1998	520	12	2	2	NUM
cana-1998	520	13	ð	ð	X
cana-1998	520	14	)	)	PUNCT
cana-1998	520	15	)	)	PUNCT
cana-1998	521	1	=	=	PUNCT
cana-1998	521	2	`	`	PUNCT
cana-1998	521	3	(	(	PUNCT
cana-1998	521	4	~	~	NOUN
cana-1998	521	5	)	)	PUNCT
cana-1998	521	6	∧	∧	NOUN
cana-1998	521	7	2	2	NUM
cana-1998	521	8	`	`	PUNCT
cana-1998	521	9	(	(	PUNCT
cana-1998	521	10	ð	ð	X
cana-1998	521	11	)	)	PUNCT
cana-1998	521	12	and	and	CCONJ
cana-1998	521	13	`	`	PUNCT
cana-1998	521	14	(	(	PUNCT
cana-1998	521	15	(	(	PUNCT
cana-1998	521	16	~	~	PUNCT
cana-1998	521	17	∨	∨	X
cana-1998	521	18	3	3	NUM
cana-1998	521	19	ð	ð	X
cana-1998	521	20	)	)	PUNCT
cana-1998	521	21	)	)	PUNCT
cana-1998	522	1	=	=	PUNCT
cana-1998	522	2	`	`	PUNCT
cana-1998	522	3	(	(	PUNCT
cana-1998	522	4	~	~	NOUN
cana-1998	522	5	)	)	PUNCT
cana-1998	522	6	∧	∧	NOUN
cana-1998	522	7	3	3	NUM
cana-1998	522	8	`	`	PUNCT
cana-1998	522	9	(	(	PUNCT
cana-1998	522	10	ð	ð	X
cana-1998	522	11	)	)	PUNCT
cana-1998	522	12	for	for	ADP
cana-1998	522	13	all	all	DET
cana-1998	522	14	~,ð	~,ð	PROPN
cana-1998	522	15	∈	∈	PROPN
cana-1998	522	16	b1	b1	NOUN
cana-1998	522	17	.	.	PUNCT
cana-1998	523	1	let	let	VERB
cana-1998	523	2	υ̂	υ̂	PRON
cana-1998	523	3	=	=	SYM
cana-1998	523	4	`	`	PUNCT
cana-1998	523	5	(	(	PUNCT
cana-1998	523	6	z),υ̂	z),υ̂	NOUN
cana-1998	523	7	is	be	AUX
cana-1998	523	8	a	a	DET
cana-1998	523	9	comcifsbs	comcifsbs	NOUN
cana-1998	523	10	of	of	ADP
cana-1998	523	11	b2	b2	NOUN
cana-1998	523	12	.	.	PUNCT
cana-1998	524	1	let	let	VERB
cana-1998	524	2	~,ð	~,ð	ADJ
cana-1998	524	3	∈	∈	PROPN
cana-1998	524	4	b1	b1	NOUN
cana-1998	524	5	.	.	PUNCT
cana-1998	525	1	now,µ̂z((~	now,µ̂z((~	NOUN
cana-1998	525	2	∨	∨	NUM
cana-1998	525	3	1	1	NUM
cana-1998	525	4	ð	ð	NUM
cana-1998	525	5	)	)	PUNCT
cana-1998	525	6	)	)	PUNCT
cana-1998	525	7	·	·	PUNCT
cana-1998	525	8	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	525	9	∨	∨	NUM
cana-1998	525	10	1	1	NUM
cana-1998	525	11	ð	ð	X
cana-1998	525	12	)	)	PUNCT
cana-1998	525	13	)	)	PUNCT
cana-1998	526	1	=	=	PUNCT
cana-1998	526	2	µ̂υ(`((~	µ̂υ(`((~	NOUN
cana-1998	526	3	∨	∨	NUM
cana-1998	526	4	1	1	NUM
cana-1998	526	5	ð)))·ei2πβ̂υ(`((~	ð)))·ei2πβ̂υ(`((~	NOUN
cana-1998	526	6	∨	∨	NUM
cana-1998	526	7	1	1	NUM
cana-1998	526	8	ð	ð	NUM
cana-1998	526	9	)	)	PUNCT
cana-1998	526	10	)	)	PUNCT
cana-1998	526	11	)	)	PUNCT
cana-1998	527	1	=	=	PUNCT
cana-1998	527	2	µ̂υ((`(~	µ̂υ((`(~	X
cana-1998	527	3	)	)	PUNCT
cana-1998	527	4	∧	∧	PROPN
cana-1998	527	5	1	1	NUM
cana-1998	527	6	`	`	PUNCT
cana-1998	527	7	(	(	PUNCT
cana-1998	527	8	ð)))·ei2πβ̂υ((`(~	ð)))·ei2πβ̂υ((`(~	NOUN
cana-1998	527	9	)	)	PUNCT
cana-1998	527	10	∧	∧	NOUN
cana-1998	527	11	1	1	NUM
cana-1998	527	12	`	`	PUNCT
cana-1998	527	13	(	(	PUNCT
cana-1998	527	14	ð	ð	NUM
cana-1998	527	15	)	)	PUNCT
cana-1998	527	16	)	)	PUNCT
cana-1998	527	17	)	)	PUNCT
cana-1998	527	18	�	�	PROPN
cana-1998	527	19	min{µ̂υ`(~	min{µ̂υ`(~	PROPN
cana-1998	527	20	)	)	PUNCT
cana-1998	527	21	·	·	PUNCT
cana-1998	527	22	ei2πβ̂υ`(~	ei2πβ̂υ`(~	X
cana-1998	527	23	)	)	PUNCT
cana-1998	527	24	,	,	PUNCT
cana-1998	527	25	µ̂υ`(ð	µ̂υ`(ð	VERB
cana-1998	527	26	)	)	PUNCT
cana-1998	527	27	·	·	PUNCT
cana-1998	527	28	ei2πβ̂υ`(ð	ei2πβ̂υ`(ð	ADP
cana-1998	527	29	)	)	PUNCT
cana-1998	527	30	}	}	PUNCT
cana-1998	527	31	=	=	SYM
cana-1998	527	32	min{µ̂z(~	min{µ̂z(~	X
cana-1998	527	33	)	)	PUNCT
cana-1998	527	34	·	·	PUNCT
cana-1998	528	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	528	2	)	)	PUNCT
cana-1998	528	3	,	,	PUNCT
cana-1998	528	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	528	5	)	)	PUNCT
cana-1998	528	6	·	·	PUNCT
cana-1998	529	1	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	529	2	)	)	PUNCT
cana-1998	529	3	}	}	PUNCT
cana-1998	529	4	.	.	PUNCT
cana-1998	530	1	thus,µ̂z((~	thus,µ̂z((~	NUM
cana-1998	530	2	∨	∨	NUM
cana-1998	530	3	1	1	NUM
cana-1998	530	4	ð	ð	NUM
cana-1998	530	5	)	)	PUNCT
cana-1998	530	6	)	)	PUNCT
cana-1998	530	7	·	·	PUNCT
cana-1998	530	8	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	530	9	∨	∨	NUM
cana-1998	530	10	1	1	NUM
cana-1998	530	11	ð	ð	X
cana-1998	530	12	)	)	PUNCT
cana-1998	530	13	)	)	PUNCT
cana-1998	530	14	�	�	PROPN
cana-1998	530	15	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	530	16	)	)	PUNCT
cana-1998	530	17	·	·	PUNCT
cana-1998	531	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	531	2	)	)	PUNCT
cana-1998	531	3	,	,	PUNCT
cana-1998	531	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	531	5	)	)	PUNCT
cana-1998	531	6	·	·	PUNCT
cana-1998	532	1	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	532	2	)	)	PUNCT
cana-1998	532	3	}	}	PUNCT
cana-1998	532	4	.	.	PUNCT
cana-1998	533	1	now	now	ADV
cana-1998	533	2	,	,	PUNCT
cana-1998	533	3	ν̂z((~	ν̂z((~	NOUN
cana-1998	533	4	∨	∨	NUM
cana-1998	533	5	1	1	NUM
cana-1998	533	6	ð))·ei2πγ̂z((~	ð))·ei2πγ̂z((~	NOUN
cana-1998	533	7	∨	∨	NUM
cana-1998	533	8	1	1	NUM
cana-1998	533	9	ð	ð	X
cana-1998	533	10	)	)	PUNCT
cana-1998	533	11	)	)	PUNCT
cana-1998	534	1	=	=	SYM
cana-1998	534	2	ν̂υ(`((~	ν̂υ(`((~	PROPN
cana-1998	534	3	∨	∨	NUM
cana-1998	534	4	1	1	NUM
cana-1998	534	5	ð)))·ei2πγ̂υ(`((~	ð)))·ei2πγ̂υ(`((~	NOUN
cana-1998	534	6	∨	∨	NUM
cana-1998	534	7	1	1	NUM
cana-1998	534	8	ð	ð	NUM
cana-1998	534	9	)	)	PUNCT
cana-1998	534	10	)	)	PUNCT
cana-1998	534	11	)	)	PUNCT
cana-1998	535	1	=	=	PUNCT
cana-1998	535	2	ν̂υ((`(~	ν̂υ((`(~	X
cana-1998	535	3	)	)	PUNCT
cana-1998	535	4	∧	∧	NOUN
cana-1998	535	5	1	1	NUM
cana-1998	535	6	`	`	PUNCT
cana-1998	535	7	(	(	PUNCT
cana-1998	535	8	ð	ð	NUM
cana-1998	535	9	)	)	PUNCT
cana-1998	535	10	)	)	PUNCT
cana-1998	535	11	)	)	PUNCT
cana-1998	535	12	·	·	PUNCT
cana-1998	536	1	ei2πγ̂υ((`(~	ei2πγ̂υ((`(~	NOUN
cana-1998	536	2	)	)	PUNCT
cana-1998	536	3	∧	∧	NOUN
cana-1998	536	4	1	1	NUM
cana-1998	536	5	`	`	PUNCT
cana-1998	536	6	(	(	PUNCT
cana-1998	536	7	ð	ð	NUM
cana-1998	536	8	)	)	PUNCT
cana-1998	536	9	)	)	PUNCT
cana-1998	536	10	)	)	PUNCT
cana-1998	536	11	�	�	PROPN
cana-1998	536	12	max{ν̂υ`(~	max{ν̂υ`(~	PROPN
cana-1998	536	13	)	)	PUNCT
cana-1998	536	14	·	·	PUNCT
cana-1998	536	15	ei2πγ̂υ`(~	ei2πγ̂υ`(~	X
cana-1998	536	16	)	)	PUNCT
cana-1998	536	17	,	,	PUNCT
cana-1998	536	18	ν̂υ`(ð	ν̂υ`(ð	NOUN
cana-1998	536	19	)	)	PUNCT
cana-1998	536	20	·	·	PUNCT
cana-1998	536	21	ei2πγ̂υ`(ð	ei2πγ̂υ`(ð	NUM
cana-1998	536	22	)	)	PUNCT
cana-1998	536	23	}	}	PUNCT
cana-1998	536	24	=	=	SYM
cana-1998	536	25	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	536	26	)	)	PUNCT
cana-1998	536	27	·	·	PUNCT
cana-1998	537	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	537	2	)	)	PUNCT
cana-1998	537	3	,	,	PUNCT
cana-1998	537	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	537	5	)	)	PUNCT
cana-1998	537	6	·	·	PUNCT
cana-1998	538	1	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	538	2	)	)	PUNCT
cana-1998	538	3	}	}	PUNCT
cana-1998	538	4	.	.	PUNCT
cana-1998	539	1	thus	thus	ADV
cana-1998	539	2	,	,	PUNCT
cana-1998	539	3	ν̂z((~	ν̂z((~	NOUN
cana-1998	539	4	∨	∨	NUM
cana-1998	539	5	1	1	NUM
cana-1998	539	6	ð	ð	X
cana-1998	539	7	)	)	PUNCT
cana-1998	539	8	)	)	PUNCT
cana-1998	539	9	·	·	PUNCT
cana-1998	539	10	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	539	11	∨	∨	NUM
cana-1998	539	12	1	1	NUM
cana-1998	539	13	ð	ð	X
cana-1998	539	14	)	)	PUNCT
cana-1998	539	15	)	)	PUNCT
cana-1998	539	16	�	�	PROPN
cana-1998	539	17	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	539	18	)	)	PUNCT
cana-1998	539	19	·	·	PUNCT
cana-1998	540	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	540	2	)	)	PUNCT
cana-1998	540	3	,	,	PUNCT
cana-1998	540	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	540	5	)	)	PUNCT
cana-1998	540	6	·	·	PUNCT
cana-1998	541	1	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	541	2	)	)	PUNCT
cana-1998	541	3	}	}	PUNCT
cana-1998	541	4	.	.	PUNCT
cana-1998	542	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	542	2	431	431	NUM
cana-1998	542	3	communications	communication	NOUN
cana-1998	542	4	on	on	ADP
cana-1998	542	5	applied	apply	VERB
cana-1998	542	6	nonlinear	nonlinear	ADJ
cana-1998	542	7	analysis	analysis	NOUN
cana-1998	542	8	issn	issn	NOUN
cana-1998	542	9	:	:	PUNCT
cana-1998	542	10	1074	1074	NUM
cana-1998	542	11	-	-	PUNCT
cana-1998	542	12	133x	133x	NUM
cana-1998	542	13	vol	vol	NOUN
cana-1998	542	14	32	32	NUM
cana-1998	542	15	no	no	NOUN
cana-1998	542	16	.	.	NOUN
cana-1998	542	17	3	3	NUM
cana-1998	542	18	(	(	PUNCT
cana-1998	542	19	2025	2025	NUM
cana-1998	542	20	)	)	PUNCT
cana-1998	542	21	the	the	DET
cana-1998	542	22	mapping	mapping	NOUN
cana-1998	542	23	`	`	PUNCT
cana-1998	542	24	:	:	PUNCT
cana-1998	542	25	b1	b1	PROPN
cana-1998	542	26	→	→	SYM
cana-1998	542	27	b2	b2	NOUN
cana-1998	542	28	be	be	VERB
cana-1998	542	29	a	a	DET
cana-1998	542	30	homomorphism	homomorphism	NOUN
cana-1998	542	31	.	.	PUNCT
cana-1998	543	1	now,`((~	now,`((~	X
cana-1998	543	2	∨	∨	X
cana-1998	543	3	1	1	NUM
cana-1998	543	4	ð	ð	NUM
cana-1998	543	5	)	)	PUNCT
cana-1998	543	6	)	)	PUNCT
cana-1998	544	1	=	=	PUNCT
cana-1998	544	2	`	`	PUNCT
cana-1998	544	3	(	(	PUNCT
cana-1998	544	4	~	~	NOUN
cana-1998	544	5	)	)	PUNCT
cana-1998	544	6	∧	∧	NOUN
cana-1998	544	7	1	1	NUM
cana-1998	544	8	`	`	PUNCT
cana-1998	544	9	(	(	PUNCT
cana-1998	544	10	ð),`((~	ð),`((~	PROPN
cana-1998	544	11	∨	∨	NUM
cana-1998	544	12	2	2	NUM
cana-1998	544	13	ð	ð	X
cana-1998	544	14	)	)	PUNCT
cana-1998	544	15	)	)	PUNCT
cana-1998	545	1	=	=	PUNCT
cana-1998	545	2	`	`	PUNCT
cana-1998	545	3	(	(	PUNCT
cana-1998	545	4	~	~	NOUN
cana-1998	545	5	)	)	PUNCT
cana-1998	545	6	∧	∧	NOUN
cana-1998	545	7	2	2	NUM
cana-1998	545	8	`	`	PUNCT
cana-1998	545	9	(	(	PUNCT
cana-1998	545	10	ð	ð	X
cana-1998	545	11	)	)	PUNCT
cana-1998	545	12	and	and	CCONJ
cana-1998	545	13	`	`	PUNCT
cana-1998	545	14	(	(	PUNCT
cana-1998	545	15	(	(	PUNCT
cana-1998	545	16	~	~	PUNCT
cana-1998	545	17	∨	∨	X
cana-1998	545	18	3	3	NUM
cana-1998	545	19	ð	ð	X
cana-1998	545	20	)	)	PUNCT
cana-1998	545	21	)	)	PUNCT
cana-1998	546	1	=	=	PUNCT
cana-1998	546	2	`	`	PUNCT
cana-1998	546	3	(	(	PUNCT
cana-1998	546	4	~	~	NOUN
cana-1998	546	5	)	)	PUNCT
cana-1998	546	6	∧	∧	NOUN
cana-1998	546	7	3	3	NUM
cana-1998	546	8	`	`	PUNCT
cana-1998	546	9	(	(	PUNCT
cana-1998	546	10	ð	ð	X
cana-1998	546	11	)	)	PUNCT
cana-1998	546	12	for	for	ADP
cana-1998	546	13	all	all	DET
cana-1998	546	14	~	~	PROPN
cana-1998	546	15	,	,	PUNCT
cana-1998	546	16	ð	ð	PROPN
cana-1998	546	17	∈	∈	PROPN
cana-1998	546	18	b1	b1	NOUN
cana-1998	546	19	.	.	PUNCT
cana-1998	547	1	let	let	VERB
cana-1998	547	2	υ	υ	NOUN
cana-1998	547	3	=	=	PUNCT
cana-1998	547	4	`	`	PUNCT
cana-1998	547	5	(	(	PUNCT
cana-1998	547	6	z),υ	z),υ	X
cana-1998	547	7	is	be	AUX
cana-1998	547	8	a	a	DET
cana-1998	547	9	comcifsbs	comcifsbs	NOUN
cana-1998	547	10	of	of	ADP
cana-1998	547	11	b2	b2	NOUN
cana-1998	547	12	.	.	PUNCT
cana-1998	548	1	let	let	VERB
cana-1998	548	2	~,ð	~,ð	ADJ
cana-1998	548	3	∈	∈	PROPN
cana-1998	548	4	b1	b1	NOUN
cana-1998	548	5	.	.	PUNCT
cana-1998	549	1	now,µz((~	now,µz((~	ADJ
cana-1998	549	2	∨	∨	X
cana-1998	549	3	1	1	NUM
cana-1998	549	4	ð	ð	NUM
cana-1998	549	5	)	)	PUNCT
cana-1998	549	6	)	)	PUNCT
cana-1998	549	7	·	·	PUNCT
cana-1998	549	8	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	549	9	∨	∨	NUM
cana-1998	549	10	1	1	NUM
cana-1998	549	11	ð	ð	X
cana-1998	549	12	)	)	PUNCT
cana-1998	549	13	)	)	PUNCT
cana-1998	550	1	=	=	SYM
cana-1998	550	2	µυ(`((~	µυ(`((~	NOUN
cana-1998	550	3	∨	∨	NUM
cana-1998	550	4	1	1	NUM
cana-1998	550	5	ð)))·ei2πβυ(`((~	ð)))·ei2πβυ(`((~	NOUN
cana-1998	550	6	∨	∨	NUM
cana-1998	550	7	1	1	NUM
cana-1998	550	8	ð	ð	NUM
cana-1998	550	9	)	)	PUNCT
cana-1998	550	10	)	)	PUNCT
cana-1998	550	11	)	)	PUNCT
cana-1998	551	1	=	=	PUNCT
cana-1998	551	2	µυ((`(~	µυ((`(~	ADJ
cana-1998	551	3	)	)	PUNCT
cana-1998	551	4	∧	∧	NOUN
cana-1998	551	5	1	1	NUM
cana-1998	551	6	`	`	PUNCT
cana-1998	551	7	(	(	PUNCT
cana-1998	551	8	ð)))·ei2πβυ((`(~	ð)))·ei2πβυ((`(~	NUM
cana-1998	551	9	)	)	PUNCT
cana-1998	551	10	∧	∧	NOUN
cana-1998	551	11	1	1	NUM
cana-1998	551	12	`	`	PUNCT
cana-1998	551	13	(	(	PUNCT
cana-1998	551	14	ð	ð	NUM
cana-1998	551	15	)	)	PUNCT
cana-1998	551	16	)	)	PUNCT
cana-1998	551	17	)	)	PUNCT
cana-1998	551	18	�	�	PROPN
cana-1998	551	19	min{µυ`(~)·ei2πβυ`(~	min{µυ`(~)·ei2πβυ`(~	NOUN
cana-1998	551	20	)	)	PUNCT
cana-1998	551	21	,	,	PUNCT
cana-1998	551	22	µυ`(ð)·ei2πβυ`(ð	µυ`(ð)·ei2πβυ`(ð	ADP
cana-1998	551	23	)	)	PUNCT
cana-1998	551	24	}	}	PUNCT
cana-1998	551	25	=	=	PUNCT
cana-1998	551	26	min{µz(~)·ei2πβz(~	min{µz(~)·ei2πβz(~	ADJ
cana-1998	551	27	)	)	PUNCT
cana-1998	551	28	,	,	PUNCT
cana-1998	551	29	µz(ð)·ei2πβz(ð	µz(ð)·ei2πβz(ð	NUM
cana-1998	551	30	)	)	PUNCT
cana-1998	551	31	}	}	PUNCT
cana-1998	551	32	.	.	PUNCT
cana-1998	552	1	thus	thus	ADV
cana-1998	552	2	,	,	PUNCT
cana-1998	552	3	µz((~	µz((~	X
cana-1998	552	4	∨	∨	X
cana-1998	552	5	1	1	NUM
cana-1998	552	6	ð	ð	NUM
cana-1998	552	7	)	)	PUNCT
cana-1998	552	8	)	)	PUNCT
cana-1998	552	9	·	·	PUNCT
cana-1998	552	10	ei2πβz((~	ei2πβz((~	X
cana-1998	552	11	∨	∨	NUM
cana-1998	552	12	1	1	NUM
cana-1998	552	13	ð	ð	X
cana-1998	552	14	)	)	PUNCT
cana-1998	552	15	)	)	PUNCT
cana-1998	552	16	�	�	PROPN
cana-1998	552	17	min{µz(~	min{µz(~	PROPN
cana-1998	552	18	)	)	PUNCT
cana-1998	552	19	·	·	PUNCT
cana-1998	552	20	ei2πβz(~	ei2πβz(~	ADV
cana-1998	552	21	)	)	PUNCT
cana-1998	552	22	,	,	PUNCT
cana-1998	552	23	µz(ð	µz(ð	PUNCT
cana-1998	552	24	)	)	PUNCT
cana-1998	552	25	·	·	PUNCT
cana-1998	552	26	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	552	27	)	)	PUNCT
cana-1998	552	28	}	}	PUNCT
cana-1998	552	29	.	.	PUNCT
cana-1998	553	1	now	now	ADV
cana-1998	553	2	,	,	PUNCT
cana-1998	553	3	νz((~	νz((~	X
cana-1998	553	4	∨	∨	X
cana-1998	553	5	1	1	NUM
cana-1998	553	6	ð	ð	X
cana-1998	553	7	)	)	PUNCT
cana-1998	553	8	)	)	PUNCT
cana-1998	553	9	·	·	PUNCT
cana-1998	553	10	ei2πγz((~	ei2πγz((~	X
cana-1998	553	11	∨	∨	NUM
cana-1998	553	12	1	1	NUM
cana-1998	553	13	ð	ð	X
cana-1998	553	14	)	)	PUNCT
cana-1998	553	15	)	)	PUNCT
cana-1998	554	1	=	=	PUNCT
cana-1998	554	2	νυ(`((~	νυ(`((~	NOUN
cana-1998	554	3	∨	∨	NUM
cana-1998	554	4	1	1	NUM
cana-1998	554	5	ð)))·ei2πγυ(`((~	ð)))·ei2πγυ(`((~	NUM
cana-1998	554	6	∨	∨	NUM
cana-1998	554	7	1	1	NUM
cana-1998	554	8	ð	ð	NUM
cana-1998	554	9	)	)	PUNCT
cana-1998	554	10	)	)	PUNCT
cana-1998	554	11	)	)	PUNCT
cana-1998	555	1	=	=	SYM
cana-1998	555	2	νυ((`(~	νυ((`(~	NOUN
cana-1998	555	3	)	)	PUNCT
cana-1998	555	4	∧	∧	NOUN
cana-1998	555	5	1	1	NUM
cana-1998	555	6	`	`	PUNCT
cana-1998	555	7	(	(	PUNCT
cana-1998	555	8	ð)))·ei2πγυ((`(~	ð)))·ei2πγυ((`(~	NOUN
cana-1998	555	9	)	)	PUNCT
cana-1998	555	10	∧	∧	NOUN
cana-1998	555	11	1	1	NUM
cana-1998	555	12	`	`	PUNCT
cana-1998	555	13	(	(	PUNCT
cana-1998	555	14	ð	ð	NUM
cana-1998	555	15	)	)	PUNCT
cana-1998	555	16	)	)	PUNCT
cana-1998	555	17	)	)	PUNCT
cana-1998	555	18	�	�	PROPN
cana-1998	555	19	max{νυ`(~)·ei2πγυ`(~	max{νυ`(~)·ei2πγυ`(~	NOUN
cana-1998	555	20	)	)	PUNCT
cana-1998	555	21	,	,	PUNCT
cana-1998	555	22	νυ`(ð)·ei2πγυ`(ð	νυ`(ð)·ei2πγυ`(ð	PROPN
cana-1998	555	23	)	)	PUNCT
cana-1998	555	24	}	}	PUNCT
cana-1998	555	25	=	=	SYM
cana-1998	555	26	max{νz(~)·ei2πγz(~	max{νz(~)·ei2πγz(~	ADJ
cana-1998	555	27	)	)	PUNCT
cana-1998	555	28	,	,	PUNCT
cana-1998	555	29	νz(ð)·ei2πγz(ð	νz(ð)·ei2πγz(ð	NUM
cana-1998	555	30	)	)	PUNCT
cana-1998	555	31	}	}	PUNCT
cana-1998	555	32	.	.	PUNCT
cana-1998	556	1	thus	thus	ADV
cana-1998	556	2	,	,	PUNCT
cana-1998	556	3	νz((~	νz((~	X
cana-1998	556	4	∨	∨	X
cana-1998	556	5	1	1	NUM
cana-1998	556	6	ð	ð	X
cana-1998	556	7	)	)	PUNCT
cana-1998	556	8	)	)	PUNCT
cana-1998	556	9	·	·	PUNCT
cana-1998	556	10	ei2πγz((~	ei2πγz((~	X
cana-1998	556	11	∨	∨	NUM
cana-1998	556	12	1	1	NUM
cana-1998	556	13	ð	ð	X
cana-1998	556	14	)	)	PUNCT
cana-1998	556	15	)	)	PUNCT
cana-1998	556	16	�	�	PROPN
cana-1998	556	17	max{νz(~	max{νz(~	PROPN
cana-1998	556	18	)	)	PUNCT
cana-1998	556	19	·	·	PUNCT
cana-1998	556	20	ei2πγz(~	ei2πγz(~	ADV
cana-1998	556	21	)	)	PUNCT
cana-1998	556	22	,	,	PUNCT
cana-1998	556	23	νz(ð	νz(ð	X
cana-1998	556	24	)	)	PUNCT
cana-1998	556	25	·	·	PUNCT
cana-1998	556	26	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	556	27	)	)	PUNCT
cana-1998	556	28	}	}	PUNCT
cana-1998	556	29	.	.	PUNCT
cana-1998	557	1	theorem	theorem	VERB
cana-1998	557	2	3.16	3.16	NUM
cana-1998	557	3	.	.	PUNCT
cana-1998	558	1	if	if	SCONJ
cana-1998	558	2	`	`	PUNCT
cana-1998	558	3	:	:	PUNCT
cana-1998	558	4	b1	b1	PROPN
cana-1998	558	5	→	→	SYM
cana-1998	558	6	b2	b2	NOUN
cana-1998	558	7	is	be	AUX
cana-1998	558	8	a	a	DET
cana-1998	558	9	homomorphism	homomorphism	NOUN
cana-1998	558	10	,	,	PUNCT
cana-1998	558	11	then	then	ADV
cana-1998	558	12	`	`	PUNCT
cana-1998	558	13	(	(	PUNCT
cana-1998	558	14	ẑ(t	ẑ(t	NUM
cana-1998	558	15	,	,	PUNCT
cana-1998	558	16	s	s	NOUN
cana-1998	558	17	)	)	PUNCT
cana-1998	558	18	)	)	PUNCT
cana-1998	558	19	is	be	AUX
cana-1998	558	20	a	a	DET
cana-1998	558	21	subbisemiring	subbisemiring	NOUN
cana-1998	558	22	of	of	ADP
cana-1998	558	23	comcifsbs	comcifsbs	NOUN
cana-1998	558	24	υ̂	υ̂	NUM
cana-1998	558	25	of	of	ADP
cana-1998	558	26	b2	b2	NOUN
cana-1998	558	27	.	.	PUNCT
cana-1998	559	1	proof	proof	NOUN
cana-1998	559	2	.	.	PUNCT
cana-1998	560	1	the	the	DET
cana-1998	560	2	mapping	mapping	NOUN
cana-1998	560	3	`	`	PUNCT
cana-1998	560	4	:	:	PUNCT
cana-1998	560	5	b1	b1	PROPN
cana-1998	560	6	→	→	SYM
cana-1998	560	7	b2	b2	NOUN
cana-1998	560	8	be	be	VERB
cana-1998	560	9	a	a	DET
cana-1998	560	10	homomorphism	homomorphism	NOUN
cana-1998	560	11	.	.	PUNCT
cana-1998	561	1	now,`((~	now,`((~	X
cana-1998	561	2	∨	∨	X
cana-1998	561	3	1	1	NUM
cana-1998	561	4	ð	ð	NUM
cana-1998	561	5	)	)	PUNCT
cana-1998	561	6	)	)	PUNCT
cana-1998	562	1	=	=	PUNCT
cana-1998	562	2	`	`	PUNCT
cana-1998	562	3	(	(	PUNCT
cana-1998	562	4	~	~	NOUN
cana-1998	562	5	)	)	PUNCT
cana-1998	562	6	∧	∧	NOUN
cana-1998	562	7	1	1	NUM
cana-1998	562	8	`	`	PUNCT
cana-1998	562	9	(	(	PUNCT
cana-1998	562	10	ð),`((~	ð),`((~	PROPN
cana-1998	562	11	∨	∨	NUM
cana-1998	562	12	2	2	NUM
cana-1998	562	13	ð	ð	X
cana-1998	562	14	)	)	PUNCT
cana-1998	562	15	)	)	PUNCT
cana-1998	563	1	=	=	PUNCT
cana-1998	563	2	`	`	PUNCT
cana-1998	563	3	(	(	PUNCT
cana-1998	563	4	~	~	NOUN
cana-1998	563	5	)	)	PUNCT
cana-1998	563	6	∧	∧	NOUN
cana-1998	563	7	2	2	NUM
cana-1998	563	8	`	`	PUNCT
cana-1998	563	9	(	(	PUNCT
cana-1998	563	10	ð	ð	X
cana-1998	563	11	)	)	PUNCT
cana-1998	563	12	and	and	CCONJ
cana-1998	563	13	`	`	PUNCT
cana-1998	563	14	(	(	PUNCT
cana-1998	563	15	(	(	PUNCT
cana-1998	563	16	~	~	PUNCT
cana-1998	563	17	∨	∨	X
cana-1998	563	18	3	3	NUM
cana-1998	563	19	ð	ð	X
cana-1998	563	20	)	)	PUNCT
cana-1998	563	21	)	)	PUNCT
cana-1998	564	1	=	=	PUNCT
cana-1998	564	2	`	`	PUNCT
cana-1998	564	3	(	(	PUNCT
cana-1998	564	4	~	~	NOUN
cana-1998	564	5	)	)	PUNCT
cana-1998	564	6	∧	∧	NOUN
cana-1998	564	7	3	3	NUM
cana-1998	564	8	`	`	PUNCT
cana-1998	564	9	(	(	PUNCT
cana-1998	564	10	ð	ð	X
cana-1998	564	11	)	)	PUNCT
cana-1998	564	12	for	for	ADP
cana-1998	564	13	all	all	DET
cana-1998	564	14	~,ð	~,ð	PROPN
cana-1998	564	15	∈	∈	PROPN
cana-1998	564	16	b1	b1	NOUN
cana-1998	564	17	.	.	PUNCT
cana-1998	565	1	let	let	VERB
cana-1998	565	2	υ̂	υ̂	PRON
cana-1998	565	3	=	=	SYM
cana-1998	565	4	`	`	PUNCT
cana-1998	565	5	(	(	PUNCT
cana-1998	565	6	z),z	z),z	X
cana-1998	565	7	is	be	AUX
cana-1998	565	8	a	a	DET
cana-1998	565	9	comcifsbs	comcifsbs	NOUN
cana-1998	565	10	of	of	ADP
cana-1998	565	11	b1	b1	NOUN
cana-1998	565	12	.	.	PUNCT
cana-1998	566	1	by	by	ADP
cana-1998	566	2	theorem	theorem	NOUN
cana-1998	566	3	3.14	3.14	NUM
cana-1998	566	4	,	,	PUNCT
cana-1998	566	5	υ̂	υ̂	PROPN
cana-1998	566	6	is	be	AUX
cana-1998	566	7	a	a	DET
cana-1998	566	8	comcifsbs	comcifsbs	NOUN
cana-1998	566	9	of	of	ADP
cana-1998	566	10	b2	b2	NOUN
cana-1998	566	11	.	.	PUNCT
cana-1998	567	1	let	let	VERB
cana-1998	567	2	ẑ(t	ẑ(t	NUM
cana-1998	567	3	,	,	PUNCT
cana-1998	567	4	s	s	PART
cana-1998	567	5	)	)	PUNCT
cana-1998	567	6	be	be	AUX
cana-1998	567	7	any	any	DET
cana-1998	567	8	subbisemiring	subbisemiring	NOUN
cana-1998	567	9	of	of	ADP
cana-1998	567	10	z.	z.	PROPN
cana-1998	567	11	suppose	suppose	VERB
cana-1998	567	12	that	that	SCONJ
cana-1998	567	13	~	~	PROPN
cana-1998	567	14	,	,	PUNCT
cana-1998	567	15	ð	ð	PROPN
cana-1998	567	16	∈	∈	PROPN
cana-1998	567	17	ẑ(t	ẑ(t	NUM
cana-1998	567	18	,	,	PUNCT
cana-1998	567	19	s	s	NOUN
cana-1998	567	20	)	)	PUNCT
cana-1998	567	21	.	.	PUNCT
cana-1998	568	1	then	then	ADV
cana-1998	568	2	~	~	PUNCT
cana-1998	568	3	∨	∨	X
cana-1998	568	4	1	1	NUM
cana-1998	568	5	ð	ð	NUM
cana-1998	568	6	,	,	PUNCT
cana-1998	568	7	~	~	PUNCT
cana-1998	568	8	∨	∨	X
cana-1998	568	9	2	2	NUM
cana-1998	568	10	ð	ð	X
cana-1998	568	11	and	and	CCONJ
cana-1998	568	12	~	~	PUNCT
cana-1998	568	13	∨	∨	NUM
cana-1998	568	14	3	3	NUM
cana-1998	568	15	ð	ð	PROPN
cana-1998	568	16	∈	∈	PROPN
cana-1998	568	17	ẑ(t	ẑ(t	NUM
cana-1998	568	18	,	,	PUNCT
cana-1998	568	19	s	s	NOUN
cana-1998	568	20	)	)	PUNCT
cana-1998	568	21	.	.	PUNCT
cana-1998	569	1	now,µ̂υ(`(~	now,µ̂υ(`(~	NOUN
cana-1998	569	2	)	)	PUNCT
cana-1998	569	3	)	)	PUNCT
cana-1998	570	1	·	·	PUNCT
cana-1998	570	2	ei2πβ̂υ(`(~	ei2πβ̂υ(`(~	NOUN
cana-1998	570	3	)	)	PUNCT
cana-1998	570	4	)	)	PUNCT
cana-1998	571	1	=	=	PUNCT
cana-1998	571	2	µ̂z(~	µ̂z(~	X
cana-1998	571	3	)	)	PUNCT
cana-1998	571	4	·	·	PUNCT
cana-1998	571	5	ei2πβ̂z(~	ei2πβ̂z(~	X
cana-1998	571	6	)	)	PUNCT
cana-1998	571	7	�	�	PROPN
cana-1998	571	8	t	t	PROPN
cana-1998	571	9	,	,	PUNCT
cana-1998	571	10	µ̂υ(`(ð	µ̂υ(`(ð	NOUN
cana-1998	571	11	)	)	PUNCT
cana-1998	571	12	)	)	PUNCT
cana-1998	571	13	·	·	PUNCT
cana-1998	572	1	ei2πβ̂υ(`(ð	ei2πβ̂υ(`(ð	VERB
cana-1998	572	2	)	)	PUNCT
cana-1998	572	3	)	)	PUNCT
cana-1998	573	1	=	=	SYM
cana-1998	573	2	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	573	3	)	)	PUNCT
cana-1998	573	4	·	·	PUNCT
cana-1998	573	5	ei2πβ̂z(ð	ei2πβ̂z(ð	NUM
cana-1998	573	6	)	)	PUNCT
cana-1998	573	7	�	�	PROPN
cana-1998	573	8	t.	t.	NOUN
cana-1998	573	9	thus,µ̂υ((`(~	thus,µ̂υ((`(~	PROPN
cana-1998	573	10	)	)	PUNCT
cana-1998	573	11	∧	∧	NOUN
cana-1998	573	12	1	1	NUM
cana-1998	573	13	`	`	PUNCT
cana-1998	573	14	(	(	PUNCT
cana-1998	573	15	ð	ð	NUM
cana-1998	573	16	)	)	PUNCT
cana-1998	573	17	)	)	PUNCT
cana-1998	573	18	)	)	PUNCT
cana-1998	574	1	·	·	PUNCT
cana-1998	574	2	ei2πβ̂υ((`(~	ei2πβ̂υ((`(~	PROPN
cana-1998	574	3	)	)	PUNCT
cana-1998	574	4	∧	∧	NOUN
cana-1998	574	5	1	1	NUM
cana-1998	574	6	`	`	PUNCT
cana-1998	574	7	(	(	PUNCT
cana-1998	574	8	ð	ð	NUM
cana-1998	574	9	)	)	PUNCT
cana-1998	574	10	)	)	PUNCT
cana-1998	574	11	)	)	PUNCT
cana-1998	574	12	�	�	PROPN
cana-1998	575	1	µ̂z((~	µ̂z((~	NUM
cana-1998	575	2	∨	∨	NUM
cana-1998	575	3	1	1	NUM
cana-1998	575	4	ð	ð	X
cana-1998	575	5	)	)	PUNCT
cana-1998	575	6	)	)	PUNCT
cana-1998	576	1	·	·	PUNCT
cana-1998	576	2	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	576	3	∨	∨	NUM
cana-1998	576	4	1	1	NUM
cana-1998	576	5	ð	ð	X
cana-1998	576	6	)	)	PUNCT
cana-1998	576	7	)	)	PUNCT
cana-1998	576	8	�	�	PROPN
cana-1998	576	9	t.	t.	PROPN
cana-1998	576	10	now	now	ADV
cana-1998	576	11	,	,	PUNCT
cana-1998	576	12	ν̂υ(`(~))·ei2πγ̂υ(`(~	ν̂υ(`(~))·ei2πγ̂υ(`(~	NOUN
cana-1998	576	13	)	)	PUNCT
cana-1998	576	14	)	)	PUNCT
cana-1998	577	1	=	=	PUNCT
cana-1998	577	2	ν̂z(~)·ei2πγ̂z(~	ν̂z(~)·ei2πγ̂z(~	ADJ
cana-1998	577	3	)	)	PUNCT
cana-1998	577	4	�	�	PROPN
cana-1998	577	5	s	s	PROPN
cana-1998	577	6	,	,	PUNCT
cana-1998	577	7	ν̂υ(`(ð))·ei2πγ̂υ(`(ð	ν̂υ(`(ð))·ei2πγ̂υ(`(ð	NOUN
cana-1998	577	8	)	)	PUNCT
cana-1998	577	9	)	)	PUNCT
cana-1998	578	1	=	=	SYM
cana-1998	578	2	ν̂z(ð)·ei2πγ̂z(ð	ν̂z(ð)·ei2πγ̂z(ð	PROPN
cana-1998	578	3	)	)	PUNCT
cana-1998	578	4	�	�	PROPN
cana-1998	578	5	s.	s.	PROPN
cana-1998	578	6	thus	thus	ADV
cana-1998	578	7	,	,	PUNCT
cana-1998	578	8	ν̂υ((`(~	ν̂υ((`(~	NOUN
cana-1998	578	9	)	)	PUNCT
cana-1998	578	10	∧	∧	NOUN
cana-1998	578	11	1	1	NUM
cana-1998	578	12	`	`	PUNCT
cana-1998	578	13	(	(	PUNCT
cana-1998	578	14	ð	ð	NUM
cana-1998	578	15	)	)	PUNCT
cana-1998	578	16	)	)	PUNCT
cana-1998	578	17	)	)	PUNCT
cana-1998	578	18	·	·	PUNCT
cana-1998	579	1	ei2πγ̂υ((`(~	ei2πγ̂υ((`(~	NOUN
cana-1998	579	2	)	)	PUNCT
cana-1998	579	3	∧	∧	NOUN
cana-1998	579	4	1	1	NUM
cana-1998	579	5	`	`	PUNCT
cana-1998	579	6	(	(	PUNCT
cana-1998	579	7	ð	ð	NUM
cana-1998	579	8	)	)	PUNCT
cana-1998	579	9	)	)	PUNCT
cana-1998	579	10	)	)	PUNCT
cana-1998	579	11	�	�	PROPN
cana-1998	580	1	ν̂z((~	ν̂z((~	NUM
cana-1998	580	2	∨	∨	NUM
cana-1998	580	3	1	1	NUM
cana-1998	580	4	ð	ð	X
cana-1998	580	5	)	)	PUNCT
cana-1998	580	6	)	)	PUNCT
cana-1998	581	1	·	·	PUNCT
cana-1998	581	2	ei2πγ̂z((~	ei2πγ̂z((~	NOUN
cana-1998	581	3	∨	∨	NUM
cana-1998	581	4	1	1	NUM
cana-1998	581	5	ð	ð	X
cana-1998	581	6	)	)	PUNCT
cana-1998	581	7	)	)	PUNCT
cana-1998	581	8	�	�	PROPN
cana-1998	581	9	s	s	PART
cana-1998	581	10	,	,	PUNCT
cana-1998	581	11	for	for	ADP
cana-1998	581	12	all	all	DET
cana-1998	581	13	`	`	PUNCT
cana-1998	581	14	(	(	PUNCT
cana-1998	581	15	~),`(ð	~),`(ð	ADP
cana-1998	581	16	)	)	PUNCT
cana-1998	581	17	∈	∈	NOUN
cana-1998	581	18	b2	b2	NOUN
cana-1998	581	19	.	.	PUNCT
cana-1998	582	1	similarly	similarly	ADV
cana-1998	582	2	other	other	ADJ
cana-1998	582	3	operations,`(ẑ(t	operations,`(ẑ(t	PROPN
cana-1998	582	4	,	,	PUNCT
cana-1998	582	5	s	s	PART
cana-1998	582	6	)	)	PUNCT
cana-1998	582	7	)	)	PUNCT
cana-1998	582	8	is	be	AUX
cana-1998	582	9	a	a	DET
cana-1998	582	10	subbisemiring	subbisemiring	NOUN
cana-1998	582	11	of	of	ADP
cana-1998	582	12	comcifsbs	comcifsbs	NOUN
cana-1998	582	13	υ̂	υ̂	NUM
cana-1998	582	14	of	of	ADP
cana-1998	582	15	b2	b2	NOUN
cana-1998	582	16	.	.	PUNCT
cana-1998	583	1	the	the	DET
cana-1998	583	2	mapping	mapping	NOUN
cana-1998	583	3	`	`	PUNCT
cana-1998	583	4	:	:	PUNCT
cana-1998	583	5	b1	b1	PROPN
cana-1998	583	6	→	→	SYM
cana-1998	583	7	b2	b2	NOUN
cana-1998	583	8	be	be	VERB
cana-1998	583	9	a	a	DET
cana-1998	583	10	homomorphism	homomorphism	NOUN
cana-1998	583	11	.	.	PUNCT
cana-1998	584	1	now,`((~	now,`((~	X
cana-1998	584	2	∨	∨	X
cana-1998	584	3	1	1	NUM
cana-1998	584	4	ð	ð	NUM
cana-1998	584	5	)	)	PUNCT
cana-1998	584	6	)	)	PUNCT
cana-1998	585	1	=	=	PUNCT
cana-1998	585	2	`	`	PUNCT
cana-1998	585	3	(	(	PUNCT
cana-1998	585	4	~	~	NOUN
cana-1998	585	5	)	)	PUNCT
cana-1998	585	6	∧	∧	NOUN
cana-1998	585	7	1	1	NUM
cana-1998	585	8	`	`	PUNCT
cana-1998	585	9	(	(	PUNCT
cana-1998	585	10	ð),`((~	ð),`((~	PROPN
cana-1998	585	11	∨	∨	NUM
cana-1998	585	12	2	2	NUM
cana-1998	585	13	ð	ð	X
cana-1998	585	14	)	)	PUNCT
cana-1998	585	15	)	)	PUNCT
cana-1998	586	1	=	=	PUNCT
cana-1998	586	2	`	`	PUNCT
cana-1998	586	3	(	(	PUNCT
cana-1998	586	4	~	~	NOUN
cana-1998	586	5	)	)	PUNCT
cana-1998	586	6	∧	∧	NOUN
cana-1998	586	7	2	2	NUM
cana-1998	586	8	`	`	PUNCT
cana-1998	586	9	(	(	PUNCT
cana-1998	586	10	ð	ð	X
cana-1998	586	11	)	)	PUNCT
cana-1998	586	12	and	and	CCONJ
cana-1998	586	13	`	`	PUNCT
cana-1998	586	14	(	(	PUNCT
cana-1998	586	15	(	(	PUNCT
cana-1998	586	16	~	~	PUNCT
cana-1998	586	17	∨	∨	X
cana-1998	586	18	3	3	NUM
cana-1998	586	19	ð	ð	X
cana-1998	586	20	)	)	PUNCT
cana-1998	586	21	)	)	PUNCT
cana-1998	587	1	=	=	PUNCT
cana-1998	587	2	`	`	PUNCT
cana-1998	587	3	(	(	PUNCT
cana-1998	587	4	~	~	NOUN
cana-1998	587	5	)	)	PUNCT
cana-1998	587	6	∧	∧	NOUN
cana-1998	587	7	3	3	NUM
cana-1998	587	8	`	`	PUNCT
cana-1998	587	9	(	(	PUNCT
cana-1998	587	10	ð	ð	X
cana-1998	587	11	)	)	PUNCT
cana-1998	587	12	for	for	ADP
cana-1998	587	13	all	all	DET
cana-1998	587	14	~,ð	~,ð	PROPN
cana-1998	587	15	∈	∈	PROPN
cana-1998	587	16	b1	b1	NOUN
cana-1998	587	17	.	.	PUNCT
cana-1998	588	1	let	let	VERB
cana-1998	588	2	υ	υ	NOUN
cana-1998	588	3	=	=	PUNCT
cana-1998	588	4	`	`	PUNCT
cana-1998	588	5	(	(	PUNCT
cana-1998	588	6	z),z	z),z	X
cana-1998	588	7	is	be	AUX
cana-1998	588	8	a	a	DET
cana-1998	588	9	comcifsbs	comcifsbs	NOUN
cana-1998	588	10	of	of	ADP
cana-1998	588	11	b1	b1	NOUN
cana-1998	588	12	.	.	PUNCT
cana-1998	589	1	by	by	ADP
cana-1998	589	2	theorem	theorem	NOUN
cana-1998	589	3	3.14	3.14	NUM
cana-1998	589	4	,	,	PUNCT
cana-1998	589	5	υ	υ	PROPN
cana-1998	589	6	is	be	AUX
cana-1998	589	7	a	a	DET
cana-1998	589	8	comcifsbs	comcifsbs	NOUN
cana-1998	589	9	of	of	ADP
cana-1998	589	10	b2	b2	NOUN
cana-1998	589	11	.	.	PUNCT
cana-1998	590	1	let	let	VERB
cana-1998	590	2	z(t	z(t	NOUN
cana-1998	590	3	,	,	PUNCT
cana-1998	590	4	s	s	PART
cana-1998	590	5	)	)	PUNCT
cana-1998	590	6	be	be	VERB
cana-1998	590	7	any	any	DET
cana-1998	590	8	subbisemiring	subbisemiring	NOUN
cana-1998	590	9	of	of	ADP
cana-1998	590	10	z.	z.	PROPN
cana-1998	590	11	suppose	suppose	VERB
cana-1998	590	12	that	that	SCONJ
cana-1998	590	13	~,ð	~,ð	PROPN
cana-1998	590	14	∈	∈	PROPN
cana-1998	590	15	z(t	z(t	PROPN
cana-1998	590	16	,	,	PUNCT
cana-1998	590	17	s	s	PART
cana-1998	590	18	)	)	PUNCT
cana-1998	590	19	.	.	PUNCT
cana-1998	591	1	then	then	ADV
cana-1998	591	2	~	~	PUNCT
cana-1998	591	3	∨	∨	X
cana-1998	591	4	1	1	NUM
cana-1998	591	5	ð	ð	NUM
cana-1998	591	6	,	,	PUNCT
cana-1998	591	7	~	~	PUNCT
cana-1998	591	8	∨	∨	X
cana-1998	591	9	2	2	NUM
cana-1998	591	10	ð	ð	X
cana-1998	591	11	and	and	CCONJ
cana-1998	591	12	~	~	PUNCT
cana-1998	591	13	∨	∨	NUM
cana-1998	591	14	3	3	NUM
cana-1998	591	15	ð	ð	PROPN
cana-1998	591	16	∈	∈	PROPN
cana-1998	591	17	z(t	z(t	PROPN
cana-1998	591	18	,	,	PUNCT
cana-1998	591	19	s	s	PART
cana-1998	591	20	)	)	PUNCT
cana-1998	591	21	.	.	PUNCT
cana-1998	592	1	now,µυ(`(~	now,µυ(`(~	NOUN
cana-1998	592	2	)	)	PUNCT
cana-1998	592	3	)	)	PUNCT
cana-1998	592	4	·	·	PUNCT
cana-1998	593	1	ei2πβυ(`(~	ei2πβυ(`(~	NUM
cana-1998	593	2	)	)	PUNCT
cana-1998	593	3	)	)	PUNCT
cana-1998	594	1	=	=	PUNCT
cana-1998	594	2	µz(~	µz(~	X
cana-1998	594	3	)	)	PUNCT
cana-1998	594	4	·	·	PUNCT
cana-1998	594	5	ei2πβz(~	ei2πβz(~	ADV
cana-1998	594	6	)	)	PUNCT
cana-1998	594	7	�	�	PROPN
cana-1998	594	8	t	t	PROPN
cana-1998	594	9	,	,	PUNCT
cana-1998	594	10	µυ(`(ð	µυ(`(ð	PROPN
cana-1998	594	11	)	)	PUNCT
cana-1998	594	12	)	)	PUNCT
cana-1998	594	13	·	·	PUNCT
cana-1998	594	14	ei2πβυ(`(ð	ei2πβυ(`(ð	ADJ
cana-1998	594	15	)	)	PUNCT
cana-1998	594	16	)	)	PUNCT
cana-1998	595	1	=	=	PUNCT
cana-1998	595	2	µz(ð	µz(ð	X
cana-1998	595	3	)	)	PUNCT
cana-1998	595	4	·	·	PUNCT
cana-1998	595	5	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	595	6	)	)	PUNCT
cana-1998	595	7	�	�	PROPN
cana-1998	595	8	t.	t.	NOUN
cana-1998	595	9	thus,µυ((`(~	thus,µυ((`(~	NOUN
cana-1998	595	10	)	)	PUNCT
cana-1998	595	11	∧	∧	NOUN
cana-1998	595	12	1	1	NUM
cana-1998	595	13	`	`	PUNCT
cana-1998	595	14	(	(	PUNCT
cana-1998	595	15	ð	ð	NUM
cana-1998	595	16	)	)	PUNCT
cana-1998	595	17	)	)	PUNCT
cana-1998	595	18	)	)	PUNCT
cana-1998	595	19	·	·	PUNCT
cana-1998	596	1	ei2πβυ((`(~	ei2πβυ((`(~	X
cana-1998	596	2	)	)	PUNCT
cana-1998	596	3	∧	∧	PROPN
cana-1998	596	4	1	1	NUM
cana-1998	596	5	`	`	PUNCT
cana-1998	596	6	(	(	PUNCT
cana-1998	596	7	ð	ð	NUM
cana-1998	596	8	)	)	PUNCT
cana-1998	596	9	)	)	PUNCT
cana-1998	596	10	)	)	PUNCT
cana-1998	596	11	�	�	PROPN
cana-1998	596	12	µz((~	µz((~	NUM
cana-1998	596	13	∨	∨	NUM
cana-1998	596	14	1	1	NUM
cana-1998	596	15	ð	ð	NUM
cana-1998	596	16	)	)	PUNCT
cana-1998	596	17	)	)	PUNCT
cana-1998	596	18	·	·	PUNCT
cana-1998	597	1	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	597	2	∨	∨	NUM
cana-1998	597	3	1	1	NUM
cana-1998	597	4	ð	ð	X
cana-1998	597	5	)	)	PUNCT
cana-1998	597	6	)	)	PUNCT
cana-1998	598	1	�	�	PROPN
cana-1998	598	2	t.	t.	PROPN
cana-1998	598	3	now	now	ADV
cana-1998	598	4	,	,	PUNCT
cana-1998	598	5	νυ(`(~	νυ(`(~	NOUN
cana-1998	598	6	)	)	PUNCT
cana-1998	598	7	)	)	PUNCT
cana-1998	598	8	·	·	PUNCT
cana-1998	599	1	ei2πγυ(`(~	ei2πγυ(`(~	NUM
cana-1998	599	2	)	)	PUNCT
cana-1998	599	3	)	)	PUNCT
cana-1998	600	1	=	=	PUNCT
cana-1998	601	1	νz(~)·ei2πγz(~	νz(~)·ei2πγz(~	NUM
cana-1998	601	2	)	)	PUNCT
cana-1998	601	3	�	�	PROPN
cana-1998	601	4	s	s	PROPN
cana-1998	601	5	,	,	PUNCT
cana-1998	601	6	νυ(`(ð))·ei2πγυ(`(ð	νυ(`(ð))·ei2πγυ(`(ð	PROPN
cana-1998	601	7	)	)	PUNCT
cana-1998	601	8	)	)	PUNCT
cana-1998	602	1	=	=	SYM
cana-1998	602	2	νz(ð)·ei2πγz(ð	νz(ð)·ei2πγz(ð	ADJ
cana-1998	602	3	)	)	PUNCT
cana-1998	602	4	�	�	PROPN
cana-1998	602	5	s.	s.	PROPN
cana-1998	602	6	thus	thus	ADV
cana-1998	602	7	,	,	PUNCT
cana-1998	602	8	νυ((`(~	νυ((`(~	PROPN
cana-1998	602	9	)	)	PUNCT
cana-1998	602	10	∧	∧	NOUN
cana-1998	602	11	1	1	NUM
cana-1998	602	12	`	`	PUNCT
cana-1998	602	13	(	(	PUNCT
cana-1998	602	14	ð	ð	NUM
cana-1998	602	15	)	)	PUNCT
cana-1998	602	16	)	)	PUNCT
cana-1998	602	17	)	)	PUNCT
cana-1998	602	18	·	·	PUNCT
cana-1998	602	19	ei2πγυ((`(~	ei2πγυ((`(~	NOUN
cana-1998	602	20	)	)	PUNCT
cana-1998	602	21	∧	∧	NOUN
cana-1998	602	22	1	1	NUM
cana-1998	602	23	`	`	PUNCT
cana-1998	602	24	(	(	PUNCT
cana-1998	602	25	ð	ð	NUM
cana-1998	602	26	)	)	PUNCT
cana-1998	602	27	)	)	PUNCT
cana-1998	602	28	)	)	PUNCT
cana-1998	602	29	�	�	PROPN
cana-1998	602	30	νz((~	νz((~	PUNCT
cana-1998	602	31	∨	∨	X
cana-1998	602	32	1	1	NUM
cana-1998	602	33	ð	ð	X
cana-1998	602	34	)	)	PUNCT
cana-1998	602	35	)	)	PUNCT
cana-1998	602	36	·	·	PUNCT
cana-1998	602	37	ei2πγz((~	ei2πγz((~	X
cana-1998	602	38	∨	∨	NUM
cana-1998	602	39	1	1	NUM
cana-1998	602	40	ð	ð	X
cana-1998	602	41	)	)	PUNCT
cana-1998	602	42	)	)	PUNCT
cana-1998	602	43	�	�	PROPN
cana-1998	602	44	s	s	PART
cana-1998	602	45	,	,	PUNCT
cana-1998	602	46	for	for	ADP
cana-1998	602	47	all	all	DET
cana-1998	602	48	`	`	PUNCT
cana-1998	602	49	(	(	PUNCT
cana-1998	602	50	~),`(ð	~),`(ð	ADP
cana-1998	602	51	)	)	PUNCT
cana-1998	602	52	∈	∈	NOUN
cana-1998	602	53	b2	b2	NOUN
cana-1998	602	54	.	.	PUNCT
cana-1998	603	1	similarly	similarly	ADV
cana-1998	603	2	other	other	ADJ
cana-1998	603	3	operations,`(z(t	operations,`(z(t	PROPN
cana-1998	603	4	,	,	PUNCT
cana-1998	603	5	s	s	PART
cana-1998	603	6	)	)	PUNCT
cana-1998	603	7	)	)	PUNCT
cana-1998	603	8	is	be	AUX
cana-1998	603	9	a	a	DET
cana-1998	603	10	subbisemiring	subbisemiring	NOUN
cana-1998	603	11	of	of	ADP
cana-1998	603	12	comcifsbs	comcifsbs	NOUN
cana-1998	603	13	υ	υ	PROPN
cana-1998	603	14	of	of	ADP
cana-1998	603	15	b2	b2	NOUN
cana-1998	603	16	.	.	PUNCT
cana-1998	604	1	theorem	theorem	VERB
cana-1998	604	2	3.17	3.17	NUM
cana-1998	604	3	.	.	PUNCT
cana-1998	605	1	if	if	SCONJ
cana-1998	605	2	`	`	PUNCT
cana-1998	605	3	:	:	PUNCT
cana-1998	605	4	b1	b1	PROPN
cana-1998	605	5	→	→	SYM
cana-1998	605	6	b2	b2	NOUN
cana-1998	605	7	is	be	AUX
cana-1998	605	8	any	any	DET
cana-1998	605	9	homomorphism	homomorphism	NOUN
cana-1998	605	10	,	,	PUNCT
cana-1998	605	11	then	then	ADV
cana-1998	605	12	ẑ(t	ẑ(t	NUM
cana-1998	605	13	,	,	PUNCT
cana-1998	605	14	s	s	PART
cana-1998	605	15	)	)	PUNCT
cana-1998	605	16	is	be	AUX
cana-1998	605	17	a	a	DET
cana-1998	605	18	subbisemiring	subbisemiring	NOUN
cana-1998	605	19	of	of	ADP
cana-1998	605	20	comcifsbs	comcifsbs	NOUN
cana-1998	605	21	z	z	PROPN
cana-1998	605	22	of	of	ADP
cana-1998	605	23	b1	b1	NOUN
cana-1998	605	24	.	.	PUNCT
cana-1998	606	1	proof	proof	NOUN
cana-1998	606	2	.	.	PUNCT
cana-1998	607	1	the	the	DET
cana-1998	607	2	mapping	mapping	NOUN
cana-1998	607	3	`	`	PUNCT
cana-1998	607	4	:	:	PUNCT
cana-1998	607	5	b1	b1	PROPN
cana-1998	607	6	→	→	SYM
cana-1998	607	7	b2	b2	NOUN
cana-1998	607	8	be	be	VERB
cana-1998	607	9	any	any	DET
cana-1998	607	10	homomorphism	homomorphism	NOUN
cana-1998	607	11	.	.	PUNCT
cana-1998	608	1	now	now	ADV
cana-1998	608	2	`	`	PUNCT
cana-1998	608	3	(	(	PUNCT
cana-1998	608	4	(	(	PUNCT
cana-1998	608	5	~	~	PUNCT
cana-1998	608	6	∨	∨	X
cana-1998	608	7	1	1	NUM
cana-1998	608	8	ð	ð	X
cana-1998	608	9	)	)	PUNCT
cana-1998	608	10	)	)	PUNCT
cana-1998	609	1	=	=	PUNCT
cana-1998	609	2	`	`	PUNCT
cana-1998	609	3	(	(	PUNCT
cana-1998	609	4	~	~	NOUN
cana-1998	609	5	)	)	PUNCT
cana-1998	609	6	∧	∧	NOUN
cana-1998	609	7	1	1	NUM
cana-1998	609	8	`	`	PUNCT
cana-1998	609	9	(	(	PUNCT
cana-1998	609	10	ð),`((~	ð),`((~	PROPN
cana-1998	609	11	∨	∨	NUM
cana-1998	609	12	2	2	NUM
cana-1998	609	13	ð	ð	X
cana-1998	609	14	)	)	PUNCT
cana-1998	609	15	)	)	PUNCT
cana-1998	610	1	=	=	PUNCT
cana-1998	610	2	`	`	PUNCT
cana-1998	610	3	(	(	PUNCT
cana-1998	610	4	~	~	NOUN
cana-1998	610	5	)	)	PUNCT
cana-1998	610	6	∧	∧	NOUN
cana-1998	610	7	2	2	NUM
cana-1998	610	8	`	`	PUNCT
cana-1998	610	9	(	(	PUNCT
cana-1998	610	10	ð	ð	X
cana-1998	610	11	)	)	PUNCT
cana-1998	610	12	and	and	CCONJ
cana-1998	610	13	`	`	PUNCT
cana-1998	610	14	(	(	PUNCT
cana-1998	610	15	(	(	PUNCT
cana-1998	610	16	~	~	PUNCT
cana-1998	610	17	∨	∨	X
cana-1998	610	18	3	3	NUM
cana-1998	610	19	ð	ð	X
cana-1998	610	20	)	)	PUNCT
cana-1998	610	21	)	)	PUNCT
cana-1998	611	1	=	=	PUNCT
cana-1998	611	2	`	`	PUNCT
cana-1998	611	3	(	(	PUNCT
cana-1998	611	4	~	~	NOUN
cana-1998	611	5	)	)	PUNCT
cana-1998	611	6	∧	∧	NOUN
cana-1998	611	7	3	3	NUM
cana-1998	611	8	`	`	PUNCT
cana-1998	611	9	(	(	PUNCT
cana-1998	611	10	ð	ð	X
cana-1998	611	11	)	)	PUNCT
cana-1998	611	12	for	for	ADP
cana-1998	611	13	all	all	DET
cana-1998	611	14	~,ð	~,ð	PROPN
cana-1998	611	15	∈	∈	PROPN
cana-1998	611	16	b1	b1	NOUN
cana-1998	611	17	.	.	PUNCT
cana-1998	612	1	let	let	VERB
cana-1998	612	2	υ̂	υ̂	PRON
cana-1998	612	3	=	=	SYM
cana-1998	612	4	`	`	PUNCT
cana-1998	612	5	(	(	PUNCT
cana-1998	612	6	z),υ̂	z),υ̂	NOUN
cana-1998	612	7	is	be	AUX
cana-1998	612	8	a	a	DET
cana-1998	612	9	comcifsbs	comcifsbs	NOUN
cana-1998	612	10	of	of	ADP
cana-1998	612	11	b2	b2	NOUN
cana-1998	612	12	.	.	PUNCT
cana-1998	613	1	by	by	ADP
cana-1998	613	2	theorem	theorem	NOUN
cana-1998	613	3	3.15,z	3.15,z	NUM
cana-1998	613	4	is	be	AUX
cana-1998	613	5	a	a	DET
cana-1998	613	6	comcifsbs	comcifsbs	NOUN
cana-1998	613	7	of	of	ADP
cana-1998	613	8	b1	b1	NOUN
cana-1998	613	9	.	.	PUNCT
cana-1998	614	1	let	let	VERB
cana-1998	614	2	`	`	PUNCT
cana-1998	614	3	(	(	PUNCT
cana-1998	614	4	ẑ(t	ẑ(t	NUM
cana-1998	614	5	,	,	PUNCT
cana-1998	614	6	s	s	NOUN
cana-1998	614	7	)	)	PUNCT
cana-1998	614	8	)	)	PUNCT
cana-1998	614	9	be	be	AUX
cana-1998	614	10	a	a	DET
cana-1998	614	11	subbisemiring	subbisemiring	NOUN
cana-1998	614	12	of	of	ADP
cana-1998	614	13	υ̂.	υ̂.	PROPN
cana-1998	614	14	suppose	suppose	VERB
cana-1998	614	15	that	that	SCONJ
cana-1998	614	16	`	`	PUNCT
cana-1998	614	17	(	(	PUNCT
cana-1998	614	18	~),`(ð	~),`(ð	NOUN
cana-1998	614	19	)	)	PUNCT
cana-1998	614	20	∈	∈	NOUN
cana-1998	614	21	`	`	PUNCT
cana-1998	614	22	(	(	PUNCT
cana-1998	614	23	ẑ(t	ẑ(t	NUM
cana-1998	614	24	,	,	PUNCT
cana-1998	614	25	s	s	NOUN
cana-1998	614	26	)	)	PUNCT
cana-1998	614	27	)	)	PUNCT
cana-1998	614	28	.	.	PUNCT
cana-1998	615	1	now,`((~	now,`((~	X
cana-1998	615	2	∨	∨	X
cana-1998	615	3	1	1	NUM
cana-1998	615	4	ð)),`((~	ð)),`((~	NOUN
cana-1998	615	5	∨	∨	NUM
cana-1998	615	6	2	2	NUM
cana-1998	615	7	ð	ð	X
cana-1998	615	8	)	)	PUNCT
cana-1998	615	9	)	)	PUNCT
cana-1998	616	1	and	and	CCONJ
cana-1998	616	2	`	`	PUNCT
cana-1998	616	3	(	(	PUNCT
cana-1998	616	4	(	(	PUNCT
cana-1998	616	5	~	~	PUNCT
cana-1998	616	6	∨	∨	X
cana-1998	616	7	3	3	NUM
cana-1998	616	8	ð	ð	X
cana-1998	616	9	)	)	PUNCT
cana-1998	616	10	)	)	PUNCT
cana-1998	617	1	∈	∈	PROPN
cana-1998	617	2	`	`	PUNCT
cana-1998	617	3	(	(	PUNCT
cana-1998	617	4	ẑ(t	ẑ(t	NUM
cana-1998	617	5	,	,	PUNCT
cana-1998	617	6	s	s	NOUN
cana-1998	617	7	)	)	PUNCT
cana-1998	617	8	)	)	PUNCT
cana-1998	617	9	.	.	PUNCT
cana-1998	618	1	now,µ̂z(~)·ei2πβ̂z(~	now,µ̂z(~)·ei2πβ̂z(~	ADV
cana-1998	618	2	)	)	PUNCT
cana-1998	618	3	=	=	SYM
cana-1998	618	4	µ̂υ(`(~	µ̂υ(`(~	NOUN
cana-1998	618	5	)	)	PUNCT
cana-1998	618	6	)	)	PUNCT
cana-1998	618	7	·	·	PUNCT
cana-1998	619	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	619	2	432	432	NUM
cana-1998	619	3	communications	communication	NOUN
cana-1998	619	4	on	on	ADP
cana-1998	619	5	applied	apply	VERB
cana-1998	619	6	nonlinear	nonlinear	ADJ
cana-1998	619	7	analysis	analysis	NOUN
cana-1998	619	8	issn	issn	NOUN
cana-1998	619	9	:	:	PUNCT
cana-1998	619	10	1074	1074	NUM
cana-1998	619	11	-	-	PUNCT
cana-1998	619	12	133x	133x	NUM
cana-1998	619	13	vol	vol	NOUN
cana-1998	619	14	32	32	NUM
cana-1998	619	15	no	no	NOUN
cana-1998	619	16	.	.	NOUN
cana-1998	619	17	3	3	NUM
cana-1998	619	18	(	(	PUNCT
cana-1998	619	19	2025	2025	NUM
cana-1998	619	20	)	)	PUNCT
cana-1998	619	21	ei2πβ̂υ(`(~	ei2πβ̂υ(`(~	NOUN
cana-1998	619	22	)	)	PUNCT
cana-1998	619	23	)	)	PUNCT
cana-1998	619	24	�	�	PROPN
cana-1998	619	25	t	t	PROPN
cana-1998	619	26	,	,	PUNCT
cana-1998	619	27	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	619	28	)	)	PUNCT
cana-1998	619	29	·	·	PUNCT
cana-1998	620	1	ei2πβ̂z(ð	ei2πβ̂z(ð	X
cana-1998	620	2	)	)	PUNCT
cana-1998	620	3	=	=	SYM
cana-1998	620	4	µ̂υ(`(ð	µ̂υ(`(ð	NOUN
cana-1998	620	5	)	)	PUNCT
cana-1998	620	6	)	)	PUNCT
cana-1998	620	7	·	·	PUNCT
cana-1998	621	1	ei2πβ̂υ(`(ð	ei2πβ̂υ(`(ð	VERB
cana-1998	621	2	)	)	PUNCT
cana-1998	621	3	)	)	PUNCT
cana-1998	621	4	�	�	PROPN
cana-1998	621	5	t.	t.	PROPN
cana-1998	621	6	thus	thus	ADV
cana-1998	621	7	,	,	PUNCT
cana-1998	621	8	µ̂z((~	µ̂z((~	NOUN
cana-1998	621	9	∨	∨	NUM
cana-1998	621	10	1	1	NUM
cana-1998	621	11	ð	ð	X
cana-1998	621	12	)	)	PUNCT
cana-1998	621	13	)	)	PUNCT
cana-1998	621	14	·	·	PUNCT
cana-1998	622	1	ei2πβ̂z((~	ei2πβ̂z((~	X
cana-1998	622	2	∨	∨	NUM
cana-1998	622	3	1	1	NUM
cana-1998	622	4	ð	ð	X
cana-1998	622	5	)	)	PUNCT
cana-1998	622	6	)	)	PUNCT
cana-1998	622	7	�	�	PROPN
cana-1998	622	8	min{µ̂z(~	min{µ̂z(~	ADV
cana-1998	622	9	)	)	PUNCT
cana-1998	622	10	·	·	PUNCT
cana-1998	623	1	ei2πβ̂z(~	ei2πβ̂z(~	PROPN
cana-1998	623	2	)	)	PUNCT
cana-1998	623	3	,	,	PUNCT
cana-1998	623	4	µ̂z(ð	µ̂z(ð	PROPN
cana-1998	623	5	)	)	PUNCT
cana-1998	623	6	·	·	PUNCT
cana-1998	623	7	ei2πβ̂z(ð	ei2πβ̂z(ð	X
cana-1998	623	8	)	)	PUNCT
cana-1998	623	9	}	}	PUNCT
cana-1998	623	10	�	�	PROPN
cana-1998	623	11	t.	t.	PROPN
cana-1998	623	12	now	now	ADV
cana-1998	623	13	,	,	PUNCT
cana-1998	623	14	ν̂z(~	ν̂z(~	ADV
cana-1998	623	15	)	)	PUNCT
cana-1998	623	16	·	·	PUNCT
cana-1998	624	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	624	2	)	)	PUNCT
cana-1998	624	3	=	=	SYM
cana-1998	624	4	ν̂υ(`(~	ν̂υ(`(~	NOUN
cana-1998	624	5	)	)	PUNCT
cana-1998	624	6	)	)	PUNCT
cana-1998	624	7	·	·	PUNCT
cana-1998	625	1	ei2πγ̂υ(`(~	ei2πγ̂υ(`(~	INTJ
cana-1998	625	2	)	)	PUNCT
cana-1998	625	3	)	)	PUNCT
cana-1998	626	1	�	�	PROPN
cana-1998	626	2	s	s	PART
cana-1998	626	3	,	,	PUNCT
cana-1998	626	4	ν̂z(ð	ν̂z(ð	NUM
cana-1998	626	5	)	)	PUNCT
cana-1998	626	6	·	·	PUNCT
cana-1998	627	1	ei2πγ̂z(ð	ei2πγ̂z(ð	X
cana-1998	627	2	)	)	PUNCT
cana-1998	627	3	=	=	SYM
cana-1998	627	4	ν̂υ(`(ð	ν̂υ(`(ð	NOUN
cana-1998	627	5	)	)	PUNCT
cana-1998	627	6	)	)	PUNCT
cana-1998	627	7	·	·	PUNCT
cana-1998	628	1	ei2πγ̂υ(`(ð	ei2πγ̂υ(`(ð	X
cana-1998	628	2	)	)	PUNCT
cana-1998	628	3	)	)	PUNCT
cana-1998	628	4	�	�	PROPN
cana-1998	628	5	s.	s.	PROPN
cana-1998	628	6	thus	thus	ADV
cana-1998	628	7	,	,	PUNCT
cana-1998	628	8	ν̂z((~	ν̂z((~	NOUN
cana-1998	628	9	∨	∨	NUM
cana-1998	628	10	1	1	NUM
cana-1998	628	11	ð))·ei2πγ̂z((~	ð))·ei2πγ̂z((~	NOUN
cana-1998	628	12	∨	∨	NUM
cana-1998	628	13	1	1	NUM
cana-1998	628	14	ð	ð	X
cana-1998	628	15	)	)	PUNCT
cana-1998	628	16	)	)	PUNCT
cana-1998	628	17	=	=	SYM
cana-1998	628	18	ν̂υ((`(~	ν̂υ((`(~	X
cana-1998	628	19	)	)	PUNCT
cana-1998	628	20	∧	∧	NOUN
cana-1998	628	21	1	1	NUM
cana-1998	628	22	`	`	PUNCT
cana-1998	628	23	(	(	PUNCT
cana-1998	628	24	ð)))·ei2πγ̂υ((`(~	ð)))·ei2πγ̂υ((`(~	NOUN
cana-1998	628	25	)	)	PUNCT
cana-1998	628	26	∧	∧	NOUN
cana-1998	628	27	1	1	NUM
cana-1998	628	28	`	`	PUNCT
cana-1998	628	29	(	(	PUNCT
cana-1998	628	30	ð	ð	NUM
cana-1998	628	31	)	)	PUNCT
cana-1998	628	32	)	)	PUNCT
cana-1998	628	33	)	)	PUNCT
cana-1998	628	34	�	�	PROPN
cana-1998	628	35	max{ν̂z(~	max{ν̂z(~	ADV
cana-1998	628	36	)	)	PUNCT
cana-1998	628	37	·	·	PUNCT
cana-1998	629	1	ei2πγ̂z(~	ei2πγ̂z(~	X
cana-1998	629	2	)	)	PUNCT
cana-1998	629	3	,	,	PUNCT
cana-1998	629	4	ν̂z(ð	ν̂z(ð	PROPN
cana-1998	629	5	)	)	PUNCT
cana-1998	629	6	·	·	PUNCT
cana-1998	629	7	ei2πγ̂z(ð	ei2πγ̂z(ð	NUM
cana-1998	629	8	)	)	PUNCT
cana-1998	629	9	}	}	PUNCT
cana-1998	629	10	�	�	PROPN
cana-1998	629	11	s	s	PART
cana-1998	629	12	,	,	PUNCT
cana-1998	629	13	for	for	ADP
cana-1998	629	14	all	all	DET
cana-1998	629	15	~,ð	~,ð	SYM
cana-1998	629	16	∈	∈	PROPN
cana-1998	629	17	b1	b1	NOUN
cana-1998	629	18	.	.	PUNCT
cana-1998	630	1	similarly	similarly	ADV
cana-1998	630	2	other	other	ADJ
cana-1998	630	3	operations	operation	NOUN
cana-1998	630	4	,	,	PUNCT
cana-1998	630	5	ẑ(t	ẑ(t	X
cana-1998	630	6	,	,	PUNCT
cana-1998	630	7	s	s	PART
cana-1998	630	8	)	)	PUNCT
cana-1998	630	9	is	be	AUX
cana-1998	630	10	a	a	DET
cana-1998	630	11	subbisemiring	subbisemiring	NOUN
cana-1998	630	12	of	of	ADP
cana-1998	630	13	comcifsbs	comcifsbs	NOUN
cana-1998	630	14	z	z	PROPN
cana-1998	630	15	of	of	ADP
cana-1998	630	16	b1	b1	PROPN
cana-1998	630	17	.	.	PUNCT
cana-1998	631	1	the	the	DET
cana-1998	631	2	mapping	mapping	NOUN
cana-1998	631	3	`	`	PUNCT
cana-1998	631	4	:	:	PUNCT
cana-1998	631	5	b1	b1	PROPN
cana-1998	631	6	→	→	SYM
cana-1998	631	7	b2	b2	NOUN
cana-1998	631	8	be	be	VERB
cana-1998	631	9	any	any	DET
cana-1998	631	10	homomorphism	homomorphism	NOUN
cana-1998	631	11	.	.	PUNCT
cana-1998	632	1	we	we	PRON
cana-1998	632	2	have	have	VERB
cana-1998	632	3	`	`	PUNCT
cana-1998	632	4	(	(	PUNCT
cana-1998	632	5	(	(	PUNCT
cana-1998	632	6	~	~	PUNCT
cana-1998	632	7	∨	∨	X
cana-1998	632	8	1	1	NUM
cana-1998	632	9	ð	ð	X
cana-1998	632	10	)	)	PUNCT
cana-1998	632	11	)	)	PUNCT
cana-1998	633	1	=	=	PUNCT
cana-1998	633	2	`	`	PUNCT
cana-1998	633	3	(	(	PUNCT
cana-1998	633	4	~	~	NOUN
cana-1998	633	5	)	)	PUNCT
cana-1998	633	6	∧	∧	NOUN
cana-1998	633	7	1	1	NUM
cana-1998	633	8	`	`	PUNCT
cana-1998	633	9	(	(	PUNCT
cana-1998	633	10	ð),`((~	ð),`((~	PROPN
cana-1998	633	11	∨	∨	NUM
cana-1998	633	12	2	2	NUM
cana-1998	633	13	ð	ð	X
cana-1998	633	14	)	)	PUNCT
cana-1998	633	15	)	)	PUNCT
cana-1998	634	1	=	=	PUNCT
cana-1998	634	2	`	`	PUNCT
cana-1998	634	3	(	(	PUNCT
cana-1998	634	4	~	~	NOUN
cana-1998	634	5	)	)	PUNCT
cana-1998	634	6	∧	∧	NOUN
cana-1998	634	7	2	2	NUM
cana-1998	634	8	`	`	PUNCT
cana-1998	634	9	(	(	PUNCT
cana-1998	634	10	ð	ð	X
cana-1998	634	11	)	)	PUNCT
cana-1998	634	12	and	and	CCONJ
cana-1998	634	13	`	`	PUNCT
cana-1998	634	14	(	(	PUNCT
cana-1998	634	15	(	(	PUNCT
cana-1998	634	16	~	~	PUNCT
cana-1998	634	17	∨	∨	X
cana-1998	634	18	3	3	NUM
cana-1998	634	19	ð	ð	X
cana-1998	634	20	)	)	PUNCT
cana-1998	634	21	)	)	PUNCT
cana-1998	635	1	=	=	PUNCT
cana-1998	635	2	`	`	PUNCT
cana-1998	635	3	(	(	PUNCT
cana-1998	635	4	~	~	NOUN
cana-1998	635	5	)	)	PUNCT
cana-1998	635	6	∧	∧	NOUN
cana-1998	635	7	3	3	NUM
cana-1998	635	8	`	`	PUNCT
cana-1998	635	9	(	(	PUNCT
cana-1998	635	10	ð	ð	X
cana-1998	635	11	)	)	PUNCT
cana-1998	635	12	for	for	ADP
cana-1998	635	13	all	all	DET
cana-1998	635	14	~,ð	~,ð	PROPN
cana-1998	635	15	∈	∈	PROPN
cana-1998	635	16	b1	b1	NOUN
cana-1998	635	17	.	.	PUNCT
cana-1998	636	1	let	let	VERB
cana-1998	636	2	υ	υ	NOUN
cana-1998	636	3	=	=	PUNCT
cana-1998	636	4	`	`	PUNCT
cana-1998	636	5	(	(	PUNCT
cana-1998	636	6	z),υ	z),υ	X
cana-1998	636	7	is	be	AUX
cana-1998	636	8	a	a	DET
cana-1998	636	9	comcifsbs	comcifsbs	NOUN
cana-1998	636	10	of	of	ADP
cana-1998	636	11	b2	b2	NOUN
cana-1998	636	12	.	.	PUNCT
cana-1998	637	1	by	by	ADP
cana-1998	637	2	theorem	theorem	NOUN
cana-1998	637	3	3.15,z	3.15,z	NUM
cana-1998	637	4	is	be	AUX
cana-1998	637	5	a	a	DET
cana-1998	637	6	comcifsbs	comcifsbs	NOUN
cana-1998	637	7	of	of	ADP
cana-1998	637	8	b1	b1	NOUN
cana-1998	637	9	.	.	PUNCT
cana-1998	638	1	let	let	VERB
cana-1998	638	2	`	`	PUNCT
cana-1998	638	3	(	(	PUNCT
cana-1998	638	4	z(t	z(t	X
cana-1998	638	5	,	,	PUNCT
cana-1998	638	6	s	s	PART
cana-1998	638	7	)	)	PUNCT
cana-1998	638	8	)	)	PUNCT
cana-1998	638	9	be	be	AUX
cana-1998	638	10	a	a	DET
cana-1998	638	11	subbisemiring	subbisemiring	NOUN
cana-1998	638	12	of	of	ADP
cana-1998	638	13	υ	υ	PROPN
cana-1998	638	14	.	.	PUNCT
cana-1998	638	15	suppose	suppose	VERB
cana-1998	638	16	that	that	SCONJ
cana-1998	638	17	`	`	PUNCT
cana-1998	638	18	(	(	PUNCT
cana-1998	638	19	~),`(ð	~),`(ð	NOUN
cana-1998	638	20	)	)	PUNCT
cana-1998	638	21	∈	∈	NOUN
cana-1998	638	22	`	`	PUNCT
cana-1998	638	23	(	(	PUNCT
cana-1998	638	24	z(t	z(t	PROPN
cana-1998	638	25	,	,	PUNCT
cana-1998	638	26	s	s	NOUN
cana-1998	638	27	)	)	PUNCT
cana-1998	638	28	)	)	PUNCT
cana-1998	638	29	.	.	PUNCT
cana-1998	639	1	now,`((~	now,`((~	X
cana-1998	639	2	∨	∨	X
cana-1998	639	3	1	1	NUM
cana-1998	639	4	ð)),`((~	ð)),`((~	NOUN
cana-1998	639	5	∨	∨	NUM
cana-1998	639	6	2	2	NUM
cana-1998	639	7	ð	ð	X
cana-1998	639	8	)	)	PUNCT
cana-1998	639	9	)	)	PUNCT
cana-1998	640	1	and	and	CCONJ
cana-1998	640	2	`	`	PUNCT
cana-1998	640	3	(	(	PUNCT
cana-1998	640	4	(	(	PUNCT
cana-1998	640	5	~	~	PUNCT
cana-1998	640	6	∨	∨	X
cana-1998	640	7	3	3	NUM
cana-1998	640	8	ð	ð	X
cana-1998	640	9	)	)	PUNCT
cana-1998	640	10	)	)	PUNCT
cana-1998	640	11	∈	∈	PROPN
cana-1998	640	12	`	`	PUNCT
cana-1998	640	13	(	(	PUNCT
cana-1998	640	14	z(t	z(t	PROPN
cana-1998	640	15	,	,	PUNCT
cana-1998	640	16	s	s	NOUN
cana-1998	640	17	)	)	PUNCT
cana-1998	640	18	)	)	PUNCT
cana-1998	640	19	.	.	PUNCT
cana-1998	641	1	now,µz(~)·ei2πβz(~	now,µz(~)·ei2πβz(~	ADV
cana-1998	641	2	)	)	PUNCT
cana-1998	641	3	=	=	SYM
cana-1998	641	4	µυ(`(~))·ei2πβυ(`(~	µυ(`(~))·ei2πβυ(`(~	PROPN
cana-1998	641	5	)	)	PUNCT
cana-1998	641	6	)	)	PUNCT
cana-1998	641	7	�	�	PROPN
cana-1998	641	8	t	t	PROPN
cana-1998	641	9	,	,	PUNCT
cana-1998	641	10	µz(ð)·ei2πβz(ð	µz(ð)·ei2πβz(ð	NUM
cana-1998	641	11	)	)	PUNCT
cana-1998	641	12	=	=	SYM
cana-1998	641	13	µυ(`(ð))·ei2πβυ(`(ð	µυ(`(ð))·ei2πβυ(`(ð	PROPN
cana-1998	641	14	)	)	PUNCT
cana-1998	641	15	)	)	PUNCT
cana-1998	641	16	�	�	PROPN
cana-1998	641	17	t.	t.	PROPN
cana-1998	641	18	thus,µz((~	thus,µz((~	PROPN
cana-1998	641	19	∨	∨	NUM
cana-1998	641	20	1	1	NUM
cana-1998	641	21	ð	ð	NUM
cana-1998	641	22	)	)	PUNCT
cana-1998	641	23	)	)	PUNCT
cana-1998	641	24	·	·	PUNCT
cana-1998	642	1	ei2πβz((~	ei2πβz((~	NOUN
cana-1998	642	2	∨	∨	NUM
cana-1998	642	3	1	1	NUM
cana-1998	642	4	ð	ð	X
cana-1998	642	5	)	)	PUNCT
cana-1998	642	6	)	)	PUNCT
cana-1998	642	7	�	�	PROPN
cana-1998	642	8	min{µz(~	min{µz(~	PROPN
cana-1998	642	9	)	)	PUNCT
cana-1998	642	10	·	·	PUNCT
cana-1998	642	11	ei2πβz(~	ei2πβz(~	ADV
cana-1998	642	12	)	)	PUNCT
cana-1998	642	13	,	,	PUNCT
cana-1998	642	14	µz(ð	µz(ð	PUNCT
cana-1998	642	15	)	)	PUNCT
cana-1998	642	16	·	·	PUNCT
cana-1998	642	17	ei2πβz(ð	ei2πβz(ð	NUM
cana-1998	642	18	)	)	PUNCT
cana-1998	642	19	}	}	PUNCT
cana-1998	642	20	�	�	PROPN
cana-1998	642	21	t.	t.	PROPN
cana-1998	642	22	now	now	ADV
cana-1998	642	23	,	,	PUNCT
cana-1998	642	24	νz(~)·ei2πγz(~	νz(~)·ei2πγz(~	PROPN
cana-1998	642	25	)	)	PUNCT
cana-1998	642	26	=	=	SYM
cana-1998	642	27	νυ(`(~))·ei2πγυ(`(~	νυ(`(~))·ei2πγυ(`(~	NOUN
cana-1998	642	28	)	)	PUNCT
cana-1998	642	29	)	)	PUNCT
cana-1998	642	30	�	�	PROPN
cana-1998	642	31	s	s	PART
cana-1998	642	32	,	,	PUNCT
cana-1998	642	33	νz(ð)·ei2πγz(ð	νz(ð)·ei2πγz(ð	NUM
cana-1998	642	34	)	)	PUNCT
cana-1998	642	35	=	=	SYM
cana-1998	642	36	νυ(`(ð))·ei2πγυ(`(ð	νυ(`(ð))·ei2πγυ(`(ð	PROPN
cana-1998	642	37	)	)	PUNCT
cana-1998	642	38	)	)	PUNCT
cana-1998	642	39	�	�	PROPN
cana-1998	642	40	s.	s.	PROPN
cana-1998	642	41	thus	thus	ADV
cana-1998	642	42	,	,	PUNCT
cana-1998	642	43	νz((~	νz((~	X
cana-1998	642	44	∨	∨	X
cana-1998	642	45	1	1	NUM
cana-1998	642	46	ð))·ei2πγz((~	ð))·ei2πγz((~	NOUN
cana-1998	642	47	∨	∨	NUM
cana-1998	642	48	1	1	NUM
cana-1998	642	49	ð	ð	NUM
cana-1998	642	50	)	)	PUNCT
cana-1998	642	51	)	)	PUNCT
cana-1998	643	1	=	=	SYM
cana-1998	643	2	νυ((`(~	νυ((`(~	NOUN
cana-1998	643	3	)	)	PUNCT
cana-1998	643	4	∧	∧	NOUN
cana-1998	643	5	1	1	NUM
cana-1998	643	6	`	`	PUNCT
cana-1998	643	7	(	(	PUNCT
cana-1998	643	8	ð)))·ei2πγυ((`(~	ð)))·ei2πγυ((`(~	NOUN
cana-1998	643	9	)	)	PUNCT
cana-1998	643	10	∧	∧	NOUN
cana-1998	643	11	1	1	NUM
cana-1998	643	12	`	`	PUNCT
cana-1998	643	13	(	(	PUNCT
cana-1998	643	14	ð	ð	NUM
cana-1998	643	15	)	)	PUNCT
cana-1998	643	16	)	)	PUNCT
cana-1998	643	17	)	)	PUNCT
cana-1998	643	18	�	�	PROPN
cana-1998	643	19	max{νz(~	max{νz(~	PROPN
cana-1998	643	20	)	)	PUNCT
cana-1998	643	21	·	·	PUNCT
cana-1998	643	22	ei2πγz(~	ei2πγz(~	ADV
cana-1998	643	23	)	)	PUNCT
cana-1998	643	24	,	,	PUNCT
cana-1998	643	25	νz(ð	νz(ð	X
cana-1998	643	26	)	)	PUNCT
cana-1998	643	27	·	·	PUNCT
cana-1998	643	28	ei2πγz(ð	ei2πγz(ð	PROPN
cana-1998	643	29	)	)	PUNCT
cana-1998	643	30	}	}	PUNCT
cana-1998	643	31	�	�	PROPN
cana-1998	643	32	s	s	PART
cana-1998	643	33	,	,	PUNCT
cana-1998	643	34	for	for	ADP
cana-1998	643	35	all	all	DET
cana-1998	643	36	~,ð	~,ð	SYM
cana-1998	643	37	∈	∈	PROPN
cana-1998	643	38	b1	b1	NOUN
cana-1998	643	39	.	.	PUNCT
cana-1998	644	1	similarly	similarly	ADV
cana-1998	644	2	other	other	ADJ
cana-1998	644	3	operations	operation	NOUN
cana-1998	644	4	,	,	PUNCT
cana-1998	644	5	z(t	z(t	PROPN
cana-1998	644	6	,	,	PUNCT
cana-1998	644	7	s	s	PART
cana-1998	644	8	)	)	PUNCT
cana-1998	644	9	is	be	AUX
cana-1998	644	10	a	a	DET
cana-1998	644	11	subbisemiring	subbisemiring	NOUN
cana-1998	644	12	of	of	ADP
cana-1998	644	13	comcifsbs	comcifsbs	NOUN
cana-1998	644	14	z	z	PROPN
cana-1998	644	15	of	of	ADP
cana-1998	644	16	b1	b1	PROPN
cana-1998	644	17	.	.	PUNCT
cana-1998	645	1	references	reference	NOUN
cana-1998	645	2	[	[	X
cana-1998	645	3	1	1	NUM
cana-1998	645	4	]	]	PUNCT
cana-1998	645	5	l.	l.	PROPN
cana-1998	645	6	a.	a.	PROPN
cana-1998	645	7	zadeh	zadeh	PROPN
cana-1998	645	8	,	,	PUNCT
cana-1998	645	9	fuzzy	fuzzy	ADJ
cana-1998	645	10	sets	set	NOUN
cana-1998	645	11	,	,	PUNCT
cana-1998	645	12	information	information	NOUN
cana-1998	645	13	and	and	CCONJ
cana-1998	645	14	control	control	NOUN
cana-1998	645	15	,	,	PUNCT
cana-1998	645	16	8	8	NUM
cana-1998	645	17	,	,	PUNCT
cana-1998	645	18	(	(	PUNCT
cana-1998	645	19	1965	1965	NUM
cana-1998	645	20	)	)	PUNCT
cana-1998	645	21	,	,	PUNCT
cana-1998	645	22	338	338	NUM
cana-1998	645	23	-	-	SYM
cana-1998	645	24	353	353	NUM
cana-1998	645	25	.	.	PUNCT
cana-1998	646	1	[	[	X
cana-1998	646	2	2	2	NUM
cana-1998	646	3	]	]	PUNCT
cana-1998	646	4	k.	k.	PROPN
cana-1998	646	5	atanassov	atanassov	PROPN
cana-1998	646	6	,	,	PUNCT
cana-1998	646	7	intuitionistic	intuitionistic	ADJ
cana-1998	646	8	fuzzy	fuzzy	ADJ
cana-1998	646	9	sets	set	NOUN
cana-1998	646	10	,	,	PUNCT
cana-1998	646	11	fuzzy	fuzzy	ADJ
cana-1998	646	12	sets	set	NOUN
cana-1998	646	13	and	and	CCONJ
cana-1998	646	14	systems	system	NOUN
cana-1998	646	15	,	,	PUNCT
cana-1998	646	16	20(1	20(1	NUM
cana-1998	646	17	)	)	PUNCT
cana-1998	646	18	,	,	PUNCT
cana-1998	646	19	(	(	PUNCT
cana-1998	646	20	1986	1986	NUM
cana-1998	646	21	)	)	PUNCT
cana-1998	646	22	87	87	NUM
cana-1998	646	23	-	-	SYM
cana-1998	646	24	96	96	NUM
cana-1998	646	25	.	.	PUNCT
cana-1998	647	1	[	[	X
cana-1998	647	2	3	3	X
cana-1998	647	3	]	]	X
cana-1998	647	4	r.	r.	PROPN
cana-1998	647	5	r.	r.	PROPN
cana-1998	647	6	yager	yager	PROPN
cana-1998	647	7	,	,	PUNCT
cana-1998	647	8	pythagorean	pythagorean	PROPN
cana-1998	647	9	membership	membership	NOUN
cana-1998	647	10	grades	grade	NOUN
cana-1998	647	11	in	in	ADP
cana-1998	647	12	multi	multi	ADJ
cana-1998	647	13	criteria	criterion	NOUN
cana-1998	647	14	decision	decision	NOUN
cana-1998	647	15	-	-	PUNCT
cana-1998	647	16	making	making	NOUN
cana-1998	647	17	,	,	PUNCT
cana-1998	647	18	ieee	ieee	NOUN
cana-1998	647	19	trans	tran	NOUN
cana-1998	647	20	.	.	PUNCT
cana-1998	648	1	fuzzy	fuzzy	ADJ
cana-1998	648	2	systems	system	NOUN
cana-1998	648	3	,	,	PUNCT
cana-1998	648	4	22	22	NUM
cana-1998	648	5	,	,	PUNCT
cana-1998	648	6	(	(	PUNCT
cana-1998	648	7	2014	2014	NUM
cana-1998	648	8	)	)	PUNCT
cana-1998	648	9	,	,	PUNCT
cana-1998	648	10	958	958	NUM
cana-1998	648	11	-	-	SYM
cana-1998	648	12	965	965	NUM
cana-1998	648	13	.	.	PUNCT
cana-1998	649	1	[	[	X
cana-1998	649	2	4	4	X
cana-1998	649	3	]	]	PUNCT
cana-1998	649	4	s.	s.	PROPN
cana-1998	649	5	ashraf	ashraf	PROPN
cana-1998	649	6	,	,	PUNCT
cana-1998	649	7	s.	s.	PROPN
cana-1998	649	8	abdullah	abdullah	PROPN
cana-1998	649	9	,	,	PUNCT
cana-1998	649	10	t.	t.	PROPN
cana-1998	649	11	mahmood	mahmood	PROPN
cana-1998	649	12	,	,	PUNCT
cana-1998	649	13	f.	f.	PROPN
cana-1998	649	14	ghani	ghani	PROPN
cana-1998	649	15	and	and	CCONJ
cana-1998	649	16	t.	t.	PROPN
cana-1998	649	17	mahmood	mahmood	PROPN
cana-1998	649	18	,	,	PUNCT
cana-1998	649	19	spherical	spherical	ADJ
cana-1998	649	20	fuzzy	fuzzy	ADJ
cana-1998	649	21	sets	set	NOUN
cana-1998	649	22	and	and	CCONJ
cana-1998	649	23	their	their	PRON
cana-1998	649	24	applications	application	NOUN
cana-1998	649	25	in	in	ADP
cana-1998	649	26	multi	multi	ADJ
cana-1998	649	27	-	-	ADJ
cana-1998	649	28	attribute	attribute	NOUN
cana-1998	649	29	decision	decision	NOUN
cana-1998	649	30	making	make	VERB
cana-1998	649	31	problems	problem	NOUN
cana-1998	649	32	,	,	PUNCT
cana-1998	649	33	journal	journal	NOUN
cana-1998	649	34	of	of	ADP
cana-1998	649	35	intelligent	intelligent	ADJ
cana-1998	649	36	and	and	CCONJ
cana-1998	649	37	fuzzy	fuzzy	ADJ
cana-1998	649	38	systems	system	NOUN
cana-1998	649	39	,	,	PUNCT
cana-1998	649	40	36	36	NUM
cana-1998	649	41	,	,	PUNCT
cana-1998	649	42	(	(	PUNCT
cana-1998	649	43	2019	2019	NUM
cana-1998	649	44	)	)	PUNCT
cana-1998	649	45	,	,	PUNCT
cana-1998	649	46	2829	2829	NUM
cana-1998	649	47	-	-	SYM
cana-1998	649	48	284	284	NUM
cana-1998	649	49	.	.	PUNCT
cana-1998	650	1	[	[	X
cana-1998	650	2	5	5	NUM
cana-1998	650	3	]	]	SYM
cana-1998	650	4	b.c	b.c	PROPN
cana-1998	650	5	.	.	PROPN
cana-1998	650	6	cuong	cuong	PROPN
cana-1998	650	7	and	and	CCONJ
cana-1998	650	8	v.	v.	ADP
cana-1998	650	9	kreinovich	kreinovich	ADJ
cana-1998	650	10	,	,	PUNCT
cana-1998	650	11	picture	picture	NOUN
cana-1998	650	12	fuzzy	fuzzy	ADJ
cana-1998	650	13	sets	set	VERB
cana-1998	650	14	a	a	DET
cana-1998	650	15	new	new	ADJ
cana-1998	650	16	concept	concept	NOUN
cana-1998	650	17	for	for	ADP
cana-1998	650	18	computational	computational	ADJ
cana-1998	650	19	intelligence	intelligence	NOUN
cana-1998	650	20	problems	problem	NOUN
cana-1998	650	21	,	,	PUNCT
cana-1998	650	22	in	in	ADP
cana-1998	650	23	proceedings	proceeding	NOUN
cana-1998	650	24	of	of	ADP
cana-1998	650	25	2013	2013	NUM
cana-1998	650	26	third	third	ADJ
cana-1998	650	27	world	world	NOUN
cana-1998	650	28	congress	congress	PROPN
cana-1998	650	29	on	on	ADP
cana-1998	650	30	information	information	NOUN
cana-1998	650	31	and	and	CCONJ
cana-1998	650	32	communication	communication	NOUN
cana-1998	650	33	technologies	technology	NOUN
cana-1998	650	34	(	(	PUNCT
cana-1998	650	35	wict	wict	NOUN
cana-1998	650	36	2013	2013	NUM
cana-1998	650	37	)	)	PUNCT
cana-1998	650	38	,	,	PUNCT
cana-1998	650	39	ieee	ieee	NOUN
cana-1998	650	40	,	,	PUNCT
cana-1998	650	41	(	(	PUNCT
cana-1998	650	42	2013	2013	NUM
cana-1998	650	43	)	)	PUNCT
cana-1998	650	44	,	,	PUNCT
cana-1998	650	45	1	1	NUM
cana-1998	650	46	-	-	SYM
cana-1998	650	47	6	6	NUM
cana-1998	650	48	.	.	PUNCT
cana-1998	651	1	[	[	X
cana-1998	651	2	6	6	NUM
cana-1998	651	3	]	]	PUNCT
cana-1998	651	4	f.	f.	PROPN
cana-1998	651	5	smarandache	smarandache	PROPN
cana-1998	651	6	,	,	PUNCT
cana-1998	651	7	a	a	DET
cana-1998	651	8	unifying	unifying	ADJ
cana-1998	651	9	field	field	NOUN
cana-1998	651	10	in	in	ADP
cana-1998	651	11	logics	logic	NOUN
cana-1998	651	12	neutrosophy	neutrosophy	VERB
cana-1998	651	13	neutrosophic	neutrosophic	ADJ
cana-1998	651	14	probability	probability	NOUN
cana-1998	651	15	,	,	PUNCT
cana-1998	651	16	set	set	NOUN
cana-1998	651	17	and	and	CCONJ
cana-1998	651	18	logic	logic	NOUN
cana-1998	651	19	,	,	PUNCT
cana-1998	651	20	rehoboth	rehoboth	PROPN
cana-1998	651	21	american	american	PROPN
cana-1998	651	22	research	research	PROPN
cana-1998	651	23	press	press	PROPN
cana-1998	651	24	(	(	PUNCT
cana-1998	651	25	1999	1999	NUM
cana-1998	651	26	)	)	PUNCT
cana-1998	651	27	.	.	PUNCT
cana-1998	652	1	[	[	X
cana-1998	652	2	7	7	X
cana-1998	652	3	]	]	X
cana-1998	652	4	daniel	daniel	PROPN
cana-1998	652	5	ramot	ramot	PROPN
cana-1998	652	6	,	,	PUNCT
cana-1998	652	7	ron	ron	PROPN
cana-1998	652	8	milo	milo	PROPN
cana-1998	652	9	,	,	PUNCT
cana-1998	652	10	menahem	menahem	PROPN
cana-1998	652	11	friedman	friedman	PROPN
cana-1998	652	12	,	,	PUNCT
cana-1998	652	13	and	and	CCONJ
cana-1998	652	14	abraham	abraham	PROPN
cana-1998	652	15	kandel	kandel	PROPN
cana-1998	652	16	,	,	PUNCT
cana-1998	652	17	complex	complex	ADJ
cana-1998	652	18	fuzzy	fuzzy	ADJ
cana-1998	652	19	set	set	NOUN
cana-1998	652	20	,	,	PUNCT
cana-1998	652	21	ieee	ieee	NOUN
cana-1998	652	22	transactions	transaction	NOUN
cana-1998	652	23	on	on	ADP
cana-1998	652	24	fuzzy	fuzzy	ADJ
cana-1998	652	25	system	system	NOUN
cana-1998	652	26	,	,	PUNCT
cana-1998	652	27	10(2	10(2	NUM
cana-1998	652	28	)	)	PUNCT
cana-1998	652	29	,	,	PUNCT
cana-1998	652	30	2002	2002	NUM
cana-1998	652	31	.	.	PUNCT
cana-1998	653	1	[	[	X
cana-1998	653	2	8	8	NUM
cana-1998	653	3	]	]	X
cana-1998	653	4	s.j	s.j	X
cana-1998	653	5	golan	golan	PROPN
cana-1998	653	6	,	,	PUNCT
cana-1998	653	7	semirings	semiring	NOUN
cana-1998	653	8	and	and	CCONJ
cana-1998	653	9	their	their	PRON
cana-1998	653	10	applications	application	NOUN
cana-1998	653	11	,	,	PUNCT
cana-1998	653	12	kluwer	kluwer	NOUN
cana-1998	653	13	academic	academic	ADJ
cana-1998	653	14	publishers	publisher	NOUN
cana-1998	653	15	,	,	PUNCT
cana-1998	653	16	london	london	PROPN
cana-1998	653	17	,	,	PUNCT
cana-1998	653	18	1999	1999	NUM
cana-1998	653	19	.	.	PUNCT
cana-1998	654	1	[	[	X
cana-1998	654	2	9	9	NUM
cana-1998	654	3	]	]	X
cana-1998	654	4	faward	faward	PROPN
cana-1998	654	5	hussian	hussian	PROPN
cana-1998	654	6	,	,	PUNCT
cana-1998	654	7	raja	raja	PROPN
cana-1998	654	8	muhammad	muhammad	PROPN
cana-1998	654	9	hashism	hashism	PROPN
cana-1998	654	10	,	,	PUNCT
cana-1998	654	11	ajab	ajab	PROPN
cana-1998	654	12	khan	khan	PROPN
cana-1998	654	13	,	,	PUNCT
cana-1998	654	14	muhammad	muhammad	PROPN
cana-1998	654	15	naeem	naeem	PROPN
cana-1998	654	16	,	,	PUNCT
cana-1998	654	17	generalization	generalization	NOUN
cana-1998	654	18	of	of	ADP
cana-1998	654	19	bisemirings	bisemiring	NOUN
cana-1998	654	20	,	,	PUNCT
cana-1998	654	21	international	international	ADJ
cana-1998	654	22	journal	journal	NOUN
cana-1998	654	23	of	of	ADP
cana-1998	654	24	computer	computer	NOUN
cana-1998	654	25	science	science	NOUN
cana-1998	654	26	and	and	CCONJ
cana-1998	654	27	information	information	NOUN
cana-1998	654	28	security	security	NOUN
cana-1998	654	29	,	,	PUNCT
cana-1998	654	30	14(9	14(9	NUM
cana-1998	654	31	)	)	PUNCT
cana-1998	654	32	,	,	PUNCT
cana-1998	654	33	(	(	PUNCT
cana-1998	654	34	2016	2016	NUM
cana-1998	654	35	)	)	PUNCT
cana-1998	654	36	,	,	PUNCT
cana-1998	654	37	275	275	NUM
cana-1998	654	38	-	-	SYM
cana-1998	654	39	289	289	NUM
cana-1998	654	40	.	.	PUNCT
cana-1998	655	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	655	2	433	433	NUM
cana-1998	655	3	communications	communication	NOUN
cana-1998	655	4	on	on	ADP
cana-1998	655	5	applied	apply	VERB
cana-1998	655	6	nonlinear	nonlinear	ADJ
cana-1998	655	7	analysis	analysis	NOUN
cana-1998	655	8	issn	issn	NOUN
cana-1998	655	9	:	:	PUNCT
cana-1998	655	10	1074	1074	NUM
cana-1998	655	11	-	-	PUNCT
cana-1998	655	12	133x	133x	NUM
cana-1998	655	13	vol	vol	NOUN
cana-1998	655	14	32	32	NUM
cana-1998	655	15	no	no	NOUN
cana-1998	655	16	.	.	NOUN
cana-1998	655	17	3	3	NUM
cana-1998	655	18	(	(	PUNCT
cana-1998	655	19	2025	2025	NUM
cana-1998	655	20	)	)	PUNCT
cana-1998	656	1	[	[	X
cana-1998	656	2	10	10	NUM
cana-1998	656	3	]	]	PUNCT
cana-1998	656	4	k.	k.	PROPN
cana-1998	656	5	m.	m.	PROPN
cana-1998	656	6	lee	lee	PROPN
cana-1998	656	7	,	,	PUNCT
cana-1998	656	8	bipolar	bipolar	ADV
cana-1998	656	9	-	-	PUNCT
cana-1998	656	10	valued	value	VERB
cana-1998	656	11	fuzzy	fuzzy	ADJ
cana-1998	656	12	sets	set	NOUN
cana-1998	656	13	and	and	CCONJ
cana-1998	656	14	their	their	PRON
cana-1998	656	15	operations	operation	NOUN
cana-1998	656	16	,	,	PUNCT
cana-1998	656	17	proc	proc	NOUN
cana-1998	656	18	.	.	PUNCT
cana-1998	657	1	int	int	NOUN
cana-1998	657	2	.	.	PUNCT
cana-1998	657	3	conf	conf	PROPN
cana-1998	657	4	.	.	PUNCT
cana-1998	658	1	intelligent	intelligent	ADJ
cana-1998	658	2	technologies	technologies	PROPN
cana-1998	658	3	bangkok	bangkok	PROPN
cana-1998	658	4	,	,	PUNCT
cana-1998	658	5	thailand	thailand	PROPN
cana-1998	658	6	,	,	PUNCT
cana-1998	658	7	(	(	PUNCT
cana-1998	658	8	2000	2000	NUM
cana-1998	658	9	)	)	PUNCT
cana-1998	658	10	307	307	NUM
cana-1998	658	11	-	-	SYM
cana-1998	658	12	312	312	NUM
cana-1998	658	13	.	.	PUNCT
cana-1998	659	1	[	[	X
cana-1998	659	2	11	11	NUM
cana-1998	659	3	]	]	SYM
cana-1998	659	4	javed	javed	PROPN
cana-1998	659	5	ahsan	ahsan	PROPN
cana-1998	659	6	,	,	PUNCT
cana-1998	659	7	john	john	PROPN
cana-1998	659	8	n.	n.	PROPN
cana-1998	659	9	mordeson	mordeson	PROPN
cana-1998	659	10	,	,	PUNCT
cana-1998	659	11	and	and	CCONJ
cana-1998	659	12	muhammad	muhammad	PROPN
cana-1998	659	13	shabir	shabir	PROPN
cana-1998	659	14	,	,	PUNCT
cana-1998	659	15	fuzzy	fuzzy	ADJ
cana-1998	659	16	semirings	semiring	NOUN
cana-1998	659	17	with	with	ADP
cana-1998	659	18	applications	application	NOUN
cana-1998	659	19	to	to	ADP
cana-1998	659	20	automata	automata	NOUN
cana-1998	659	21	theory	theory	NOUN
cana-1998	659	22	,	,	PUNCT
cana-1998	659	23	springer	springer	NOUN
cana-1998	659	24	heidelberg	heidelberg	PROPN
cana-1998	659	25	new	new	PROPN
cana-1998	659	26	york	york	PROPN
cana-1998	659	27	dordrecht	dordrecht	PROPN
cana-1998	659	28	,	,	PUNCT
cana-1998	659	29	london	london	PROPN
cana-1998	659	30	,	,	PUNCT
cana-1998	659	31	2012	2012	NUM
cana-1998	659	32	.	.	PUNCT
cana-1998	660	1	[	[	X
cana-1998	660	2	12	12	NUM
cana-1998	660	3	]	]	X
cana-1998	660	4	m.k	m.k	PRON
cana-1998	660	5	sen	sen	PROPN
cana-1998	660	6	,	,	PUNCT
cana-1998	660	7	s.	s.	PROPN
cana-1998	660	8	ghosh	ghosh	PROPN
cana-1998	660	9	an	an	DET
cana-1998	660	10	introduction	introduction	NOUN
cana-1998	660	11	to	to	ADP
cana-1998	660	12	bisemirings	bisemiring	NOUN
cana-1998	660	13	,	,	PUNCT
cana-1998	660	14	southeast	southeast	ADJ
cana-1998	660	15	asian	asian	ADJ
cana-1998	660	16	bulletin	bulletin	NOUN
cana-1998	660	17	of	of	ADP
cana-1998	660	18	mathematics	mathematic	NOUN
cana-1998	660	19	,	,	PUNCT
cana-1998	660	20	28(3	28(3	NUM
cana-1998	660	21	)	)	PUNCT
cana-1998	660	22	,	,	PUNCT
cana-1998	660	23	(	(	PUNCT
cana-1998	660	24	2001	2001	NUM
cana-1998	660	25	)	)	PUNCT
cana-1998	660	26	,	,	PUNCT
cana-1998	660	27	547	547	NUM
cana-1998	660	28	-	-	SYM
cana-1998	660	29	559	559	NUM
cana-1998	660	30	.	.	PUNCT
cana-1998	661	1	[	[	X
cana-1998	661	2	13	13	NUM
cana-1998	661	3	]	]	X
cana-1998	661	4	palanikumar	palanikumar	PROPN
cana-1998	661	5	m	m	PROPN
cana-1998	661	6	,	,	PUNCT
cana-1998	661	7	arulmozhi	arulmozhi	PROPN
cana-1998	661	8	k	k	X
cana-1998	661	9	,	,	PUNCT
cana-1998	661	10	on	on	ADP
cana-1998	661	11	intuitionistic	intuitionistic	ADJ
cana-1998	661	12	fuzzy	fuzzy	ADJ
cana-1998	661	13	normal	normal	ADJ
cana-1998	661	14	subbisemirings	subbisemiring	NOUN
cana-1998	661	15	of	of	ADP
cana-1998	661	16	bisemirings	bisemiring	NOUN
cana-1998	661	17	,	,	PUNCT
cana-1998	661	18	nonlinear	nonlinear	ADJ
cana-1998	661	19	studies	study	NOUN
cana-1998	661	20	,	,	PUNCT
cana-1998	661	21	28(3	28(3	NUM
cana-1998	661	22	)	)	PUNCT
cana-1998	661	23	,	,	PUNCT
cana-1998	661	24	2021	2021	NUM
cana-1998	661	25	,	,	PUNCT
cana-1998	661	26	717	717	NUM
cana-1998	661	27	-	-	SYM
cana-1998	661	28	721	721	NUM
cana-1998	661	29	.	.	PUNCT
cana-1998	662	1	[	[	X
cana-1998	662	2	14	14	NUM
cana-1998	662	3	]	]	X
cana-1998	662	4	palanikumar	palanikumar	PROPN
cana-1998	662	5	m	m	PROPN
cana-1998	662	6	,	,	PUNCT
cana-1998	662	7	selvi	selvi	PROPN
cana-1998	662	8	g	g	PROPN
cana-1998	662	9	,	,	PUNCT
cana-1998	662	10	ganeshsree	ganeshsree	PROPN
cana-1998	662	11	selvachandran	selvachandran	VERB
cana-1998	662	12	and	and	CCONJ
cana-1998	662	13	tan	tan	PROPN
cana-1998	662	14	s.l	s.l	PROPN
cana-1998	662	15	,	,	PUNCT
cana-1998	662	16	new	new	ADJ
cana-1998	662	17	approach	approach	NOUN
cana-1998	662	18	to	to	ADP
cana-1998	662	19	bisemiring	bisemiring	NOUN
cana-1998	662	20	theory	theory	NOUN
cana-1998	662	21	via	via	ADP
cana-1998	662	22	the	the	DET
cana-1998	662	23	bipolar	bipolar	ADV
cana-1998	662	24	-	-	PUNCT
cana-1998	662	25	valued	value	VERB
cana-1998	662	26	neutrosophic	neutrosophic	ADJ
cana-1998	662	27	normal	normal	ADJ
cana-1998	662	28	sets	set	NOUN
cana-1998	662	29	,	,	PUNCT
cana-1998	662	30	neutrosophic	neutrosophic	ADJ
cana-1998	662	31	sets	set	NOUN
cana-1998	662	32	and	and	CCONJ
cana-1998	662	33	systems	system	NOUN
cana-1998	662	34	,	,	PUNCT
cana-1998	662	35	55	55	NUM
cana-1998	662	36	,	,	PUNCT
cana-1998	662	37	427	427	NUM
cana-1998	662	38	-	-	SYM
cana-1998	662	39	450	450	NUM
cana-1998	662	40	,	,	PUNCT
cana-1998	662	41	2023	2023	NUM
cana-1998	662	42	.	.	PUNCT
cana-1998	663	1	[	[	X
cana-1998	663	2	15	15	NUM
cana-1998	663	3	]	]	X
cana-1998	663	4	sg	sg	PROPN
cana-1998	663	5	quek	quek	PROPN
cana-1998	663	6	,	,	PUNCT
cana-1998	663	7	h	h	PROPN
cana-1998	663	8	garg	garg	NOUN
cana-1998	663	9	,	,	PUNCT
cana-1998	663	10	g	g	PROPN
cana-1998	663	11	selvachandran	selvachandran	VERB
cana-1998	663	12	,	,	PUNCT
cana-1998	663	13	m	m	NOUN
cana-1998	663	14	palanikumar	palanikumar	PROPN
cana-1998	663	15	,	,	PUNCT
cana-1998	663	16	k	k	PROPN
cana-1998	663	17	arulmozhi	arulmozhi	PROPN
cana-1998	663	18	,	,	PUNCT
cana-1998	663	19	vikor	vikor	ADJ
cana-1998	663	20	and	and	CCONJ
cana-1998	663	21	topsis	topsis	NOUN
cana-1998	663	22	framework	framework	NOUN
cana-1998	663	23	with	with	ADP
cana-1998	663	24	a	a	DET
cana-1998	663	25	truthful	truthful	ADJ
cana-1998	663	26	-	-	PUNCT
cana-1998	663	27	distance	distance	NOUN
cana-1998	663	28	measure	measure	NOUN
cana-1998	663	29	for	for	ADP
cana-1998	663	30	the	the	DET
cana-1998	663	31	(	(	PUNCT
cana-1998	663	32	t	t	PROPN
cana-1998	663	33	,	,	PUNCT
cana-1998	663	34	s)-regulated	s)-regulate	VERB
cana-1998	663	35	interval	interval	NOUN
cana-1998	663	36	-	-	PUNCT
cana-1998	663	37	valued	value	VERB
cana-1998	663	38	neutrosophic	neutrosophic	ADJ
cana-1998	663	39	soft	soft	ADJ
cana-1998	663	40	set	set	NOUN
cana-1998	663	41	,	,	PUNCT
cana-1998	663	42	soft	soft	ADJ
cana-1998	663	43	computing	computing	NOUN
cana-1998	663	44	,	,	PUNCT
cana-1998	663	45	1–27	1–27	PROPN
cana-1998	663	46	,	,	PUNCT
cana-1998	663	47	2023	2023	NUM
cana-1998	663	48	.	.	PUNCT
cana-1998	664	1	[	[	X
cana-1998	664	2	16	16	NUM
cana-1998	664	3	]	]	X
cana-1998	664	4	m	m	NOUN
cana-1998	664	5	palanikumar	palanikumar	PROPN
cana-1998	664	6	,	,	PUNCT
cana-1998	664	7	k	k	PROPN
cana-1998	664	8	arulmozhi	arulmozhi	PROPN
cana-1998	664	9	,	,	PUNCT
cana-1998	664	10	a	a	DET
cana-1998	664	11	iampan	iampan	NOUN
cana-1998	664	12	,	,	PUNCT
cana-1998	664	13	multi	multi	X
cana-1998	664	14	criteria	criterion	NOUN
cana-1998	664	15	group	group	NOUN
cana-1998	664	16	decision	decision	NOUN
cana-1998	664	17	making	making	NOUN
cana-1998	664	18	based	base	VERB
cana-1998	664	19	on	on	ADP
cana-1998	664	20	vikor	vikor	ADJ
cana-1998	664	21	and	and	CCONJ
cana-1998	664	22	topsis	topsis	NOUN
cana-1998	664	23	methods	method	NOUN
cana-1998	664	24	for	for	ADP
cana-1998	664	25	fermatean	fermatean	ADJ
cana-1998	664	26	fuzzy	fuzzy	ADJ
cana-1998	664	27	soft	soft	ADJ
cana-1998	664	28	with	with	ADP
cana-1998	664	29	aggregation	aggregation	NOUN
cana-1998	664	30	operators	operator	NOUN
cana-1998	664	31	,	,	PUNCT
cana-1998	664	32	icic	icic	PROPN
cana-1998	664	33	express	express	PROPN
cana-1998	664	34	letters	letter	NOUN
cana-1998	664	35	16	16	NUM
cana-1998	664	36	(	(	PUNCT
cana-1998	664	37	10	10	NUM
cana-1998	664	38	)	)	PUNCT
cana-1998	664	39	,	,	PUNCT
cana-1998	664	40	(	(	PUNCT
cana-1998	664	41	2022	2022	NUM
cana-1998	664	42	)	)	PUNCT
cana-1998	664	43	,	,	PUNCT
cana-1998	664	44	1129–1138	1129–1138	NUM
cana-1998	664	45	.	.	PUNCT
cana-1998	665	1	[	[	X
cana-1998	665	2	17	17	NUM
cana-1998	665	3	]	]	X
cana-1998	665	4	m	m	NOUN
cana-1998	665	5	palanikumar	palanikumar	PROPN
cana-1998	665	6	,	,	PUNCT
cana-1998	665	7	k	k	PROPN
cana-1998	665	8	arulmozhi	arulmozhi	PROPN
cana-1998	665	9	,	,	PUNCT
cana-1998	665	10	mcgdm	mcgdm	NOUN
cana-1998	665	11	based	base	VERB
cana-1998	665	12	on	on	ADP
cana-1998	665	13	topsis	topsis	NOUN
cana-1998	665	14	and	and	CCONJ
cana-1998	665	15	vikor	vikor	ADJ
cana-1998	665	16	using	use	VERB
cana-1998	665	17	pythagorean	pythagorean	PROPN
cana-1998	665	18	neutrosophic	neutrosophic	PROPN
cana-1998	665	19	soft	soft	ADJ
cana-1998	665	20	with	with	ADP
cana-1998	665	21	aggregation	aggregation	NOUN
cana-1998	665	22	operators	operator	NOUN
cana-1998	665	23	,	,	PUNCT
cana-1998	665	24	neutrosophic	neutrosophic	ADJ
cana-1998	665	25	sets	set	NOUN
cana-1998	665	26	and	and	CCONJ
cana-1998	665	27	systems	system	NOUN
cana-1998	665	28	,	,	PUNCT
cana-1998	665	29	(	(	PUNCT
cana-1998	665	30	2022	2022	NUM
cana-1998	665	31	)	)	PUNCT
cana-1998	665	32	,	,	PUNCT
cana-1998	665	33	538–555	538–555	NUM
cana-1998	665	34	.	.	PUNCT
cana-1998	666	1	[	[	X
cana-1998	666	2	18	18	NUM
cana-1998	666	3	]	]	X
cana-1998	666	4	m	m	NOUN
cana-1998	666	5	palanikumar	palanikumar	NOUN
cana-1998	666	6	,	,	PUNCT
cana-1998	666	7	s	s	PROPN
cana-1998	666	8	broumi	broumi	PROPN
cana-1998	666	9	,	,	PUNCT
cana-1998	666	10	square	square	ADJ
cana-1998	666	11	root	root	NOUN
cana-1998	666	12	(	(	PUNCT
cana-1998	666	13	l1	l1	PROPN
cana-1998	666	14	,	,	PUNCT
cana-1998	666	15	l2)phantine	l2)phantine	PROPN
cana-1998	666	16	neutrosophic	neutrosophic	ADJ
cana-1998	666	17	normal	normal	ADJ
cana-1998	666	18	intervalvalued	intervalvalue	VERB
cana-1998	666	19	sets	set	NOUN
cana-1998	666	20	and	and	CCONJ
cana-1998	666	21	their	their	PRON
cana-1998	666	22	aggregated	aggregate	VERB
cana-1998	666	23	operators	operator	NOUN
cana-1998	666	24	in	in	ADP
cana-1998	666	25	application	application	NOUN
cana-1998	666	26	to	to	ADP
cana-1998	666	27	multiple	multiple	ADJ
cana-1998	666	28	attribute	attribute	NOUN
cana-1998	666	29	decision	decision	NOUN
cana-1998	666	30	making	making	NOUN
cana-1998	666	31	,	,	PUNCT
cana-1998	666	32	international	international	ADJ
cana-1998	666	33	journal	journal	NOUN
cana-1998	666	34	of	of	ADP
cana-1998	666	35	neutrosophic	neutrosophic	ADJ
cana-1998	666	36	science	science	NOUN
cana-1998	666	37	,	,	PUNCT
cana-1998	666	38	4	4	NUM
cana-1998	666	39	,	,	PUNCT
cana-1998	666	40	(	(	PUNCT
cana-1998	666	41	2022	2022	NUM
cana-1998	666	42	)	)	PUNCT
cana-1998	666	43	.	.	PUNCT
cana-1998	667	1	[	[	X
cana-1998	667	2	19	19	NUM
cana-1998	667	3	]	]	X
cana-1998	667	4	m	m	NOUN
cana-1998	667	5	palanikumar	palanikumar	NOUN
cana-1998	667	6	,	,	PUNCT
cana-1998	667	7	k	k	PROPN
cana-1998	667	8	arulmozhi	arulmozhi	PROPN
cana-1998	667	9	,	,	PUNCT
cana-1998	667	10	novel	novel	ADJ
cana-1998	667	11	possibility	possibility	NOUN
cana-1998	667	12	pythagorean	pythagorean	PROPN
cana-1998	667	13	interval	interval	NOUN
cana-1998	667	14	valued	value	VERB
cana-1998	667	15	fuzzy	fuzzy	ADJ
cana-1998	667	16	soft	soft	ADJ
cana-1998	667	17	set	set	NOUN
cana-1998	667	18	method	method	NOUN
cana-1998	667	19	for	for	ADP
cana-1998	667	20	a	a	DET
cana-1998	667	21	decision	decision	NOUN
cana-1998	667	22	making	making	NOUN
cana-1998	667	23	,	,	PUNCT
cana-1998	667	24	twms	twms	PROPN
cana-1998	667	25	j.	j.	PROPN
cana-1998	667	26	app	app	PROPN
cana-1998	667	27	.	.	PROPN
cana-1998	668	1	and	and	CCONJ
cana-1998	668	2	eng	eng	PROPN
cana-1998	668	3	.	.	PROPN
cana-1998	668	4	math	math	PROPN
cana-1998	668	5	.	.	PUNCT
cana-1998	669	1	,	,	PUNCT
cana-1998	669	2	13(1	13(1	NUM
cana-1998	669	3	)	)	PUNCT
cana-1998	669	4	,	,	PUNCT
cana-1998	669	5	(	(	PUNCT
cana-1998	669	6	2023	2023	NUM
cana-1998	669	7	)	)	PUNCT
cana-1998	669	8	,	,	PUNCT
cana-1998	670	1	327–340	327–340	NUM
cana-1998	670	2	.	.	PUNCT
cana-1998	671	1	[	[	X
cana-1998	671	2	20	20	NUM
cana-1998	671	3	]	]	X
cana-1998	671	4	m	m	NOUN
cana-1998	671	5	palanikumar	palanikumar	PROPN
cana-1998	671	6	,	,	PUNCT
cana-1998	671	7	k	k	PROPN
cana-1998	671	8	arulmozhi	arulmozhi	PROPN
cana-1998	671	9	,	,	PUNCT
cana-1998	671	10	novel	novel	ADJ
cana-1998	671	11	possibility	possibility	NOUN
cana-1998	671	12	pythagorean	pythagorean	PROPN
cana-1998	671	13	interval	interval	NOUN
cana-1998	671	14	valued	value	VERB
cana-1998	671	15	fuzzy	fuzzy	ADJ
cana-1998	671	16	soft	soft	ADJ
cana-1998	671	17	set	set	NOUN
cana-1998	671	18	method	method	NOUN
cana-1998	671	19	for	for	ADP
cana-1998	671	20	a	a	DET
cana-1998	671	21	decision	decision	NOUN
cana-1998	671	22	making	making	NOUN
cana-1998	671	23	,	,	PUNCT
cana-1998	671	24	twms	twms	PROPN
cana-1998	671	25	j.	j.	PROPN
cana-1998	671	26	app	app	PROPN
cana-1998	671	27	.	.	PROPN
cana-1998	672	1	and	and	CCONJ
cana-1998	672	2	eng	eng	PROPN
cana-1998	672	3	.	.	PROPN
cana-1998	672	4	math	math	PROPN
cana-1998	672	5	.	.	PUNCT
cana-1998	673	1	,	,	PUNCT
cana-1998	673	2	13(1	13(1	NUM
cana-1998	673	3	)	)	PUNCT
cana-1998	673	4	,	,	PUNCT
cana-1998	673	5	(	(	PUNCT
cana-1998	673	6	2023	2023	NUM
cana-1998	673	7	)	)	PUNCT
cana-1998	673	8	,	,	PUNCT
cana-1998	674	1	327–340	327–340	NUM
cana-1998	674	2	.	.	PUNCT
cana-1998	675	1	[	[	X
cana-1998	675	2	21	21	NUM
cana-1998	675	3	]	]	X
cana-1998	675	4	m	m	NOUN
cana-1998	675	5	palanikumar	palanikumar	NOUN
cana-1998	675	6	,	,	PUNCT
cana-1998	675	7	n	n	PRON
cana-1998	675	8	kausar	kausar	NOUN
cana-1998	675	9	,	,	PUNCT
cana-1998	675	10	h	h	NOUN
cana-1998	675	11	garg	garg	NOUN
cana-1998	675	12	,	,	PUNCT
cana-1998	675	13	a	a	DET
cana-1998	675	14	iampan	iampan	NOUN
cana-1998	675	15	,	,	PUNCT
cana-1998	675	16	s	s	NOUN
cana-1998	675	17	kadry	kadry	NOUN
cana-1998	675	18	,	,	PUNCT
cana-1998	675	19	m	m	VERB
cana-1998	675	20	sharaf	sharaf	NOUN
cana-1998	675	21	,	,	PUNCT
cana-1998	675	22	medical	medical	ADJ
cana-1998	675	23	robotic	robotic	ADJ
cana-1998	675	24	engineering	engineering	NOUN
cana-1998	675	25	selection	selection	NOUN
cana-1998	675	26	based	base	VERB
cana-1998	675	27	on	on	ADP
cana-1998	675	28	square	square	ADJ
cana-1998	675	29	root	root	NOUN
cana-1998	675	30	neutrosophic	neutrosophic	ADJ
cana-1998	675	31	normal	normal	ADJ
cana-1998	675	32	interval	interval	NOUN
cana-1998	675	33	-	-	PUNCT
cana-1998	675	34	valued	value	VERB
cana-1998	675	35	sets	set	NOUN
cana-1998	675	36	and	and	CCONJ
cana-1998	675	37	their	their	PRON
cana-1998	675	38	aggregated	aggregate	VERB
cana-1998	675	39	operators	operator	NOUN
cana-1998	675	40	,	,	PUNCT
cana-1998	675	41	aims	aim	VERB
cana-1998	675	42	mathematics	mathematic	NOUN
cana-1998	675	43	,	,	PUNCT
cana-1998	675	44	8(8	8(8	NUM
cana-1998	675	45	)	)	PUNCT
cana-1998	675	46	,	,	PUNCT
cana-1998	675	47	(	(	PUNCT
cana-1998	675	48	2023	2023	NUM
cana-1998	675	49	)	)	PUNCT
cana-1998	675	50	,	,	PUNCT
cana-1998	675	51	17402–17432	17402–17432	NUM
cana-1998	675	52	.	.	PUNCT
cana-1998	676	1	[	[	X
cana-1998	676	2	22	22	NUM
cana-1998	676	3	]	]	PUNCT
cana-1998	676	4	raed	raed	PROPN
cana-1998	676	5	hatamleh	hatamleh	PROPN
cana-1998	676	6	,	,	PUNCT
cana-1998	676	7	ayman	ayman	PROPN
cana-1998	676	8	hazaymeh	hazaymeh	NOUN
cana-1998	676	9	,	,	PUNCT
cana-1998	676	10	finding	find	VERB
cana-1998	676	11	minimal	minimal	ADJ
cana-1998	676	12	units	unit	NOUN
cana-1998	676	13	in	in	ADP
cana-1998	676	14	several	several	ADJ
cana-1998	676	15	two	two	NUM
cana-1998	676	16	-	-	PUNCT
cana-1998	676	17	fold	fold	ADJ
cana-1998	676	18	fuzzy	fuzzy	ADJ
cana-1998	676	19	finite	finite	PROPN
cana-1998	676	20	neutrosophic	neutrosophic	ADJ
cana-1998	676	21	rings	ring	NOUN
cana-1998	676	22	,	,	PUNCT
cana-1998	676	23	neutrosophic	neutrosophic	ADJ
cana-1998	676	24	sets	set	NOUN
cana-1998	676	25	and	and	CCONJ
cana-1998	676	26	systems	system	NOUN
cana-1998	676	27	,	,	PUNCT
cana-1998	676	28	70	70	NUM
cana-1998	676	29	,	,	PUNCT
cana-1998	676	30	(	(	PUNCT
cana-1998	676	31	2024	2024	NUM
cana-1998	676	32	)	)	PUNCT
cana-1998	676	33	,	,	PUNCT
cana-1998	676	34	1	1	NUM
cana-1998	676	35	-	-	SYM
cana-1998	676	36	16	16	NUM
cana-1998	676	37	.	.	PUNCT
cana-1998	677	1	[	[	X
cana-1998	677	2	23	23	NUM
cana-1998	677	3	]	]	X
cana-1998	677	4	abdallah	abdallah	PROPN
cana-1998	677	5	shihadeh	shihadeh	PROPN
cana-1998	677	6	,	,	PUNCT
cana-1998	677	7	khaled	khaled	PROPN
cana-1998	677	8	ahmad	ahmad	PROPN
cana-1998	677	9	mohammad	mohammad	PROPN
cana-1998	677	10	matarneh	matarneh	PROPN
cana-1998	677	11	,	,	PUNCT
cana-1998	677	12	raed	raed	PROPN
cana-1998	677	13	hatamleh	hatamleh	PROPN
cana-1998	677	14	,	,	PUNCT
cana-1998	677	15	mowafaq	mowafaq	PROPN
cana-1998	677	16	omar	omar	PROPN
cana-1998	677	17	al	al	PROPN
cana-1998	677	18	-	-	PUNCT
cana-1998	677	19	qadri	qadri	PROPN
cana-1998	677	20	,	,	PUNCT
cana-1998	677	21	abdallah	abdallah	PROPN
cana-1998	677	22	al	al	PROPN
cana-1998	677	23	-	-	PUNCT
cana-1998	677	24	husban	husban	PROPN
cana-1998	677	25	,	,	PUNCT
cana-1998	677	26	on	on	ADP
cana-1998	677	27	the	the	DET
cana-1998	677	28	two	two	NUM
cana-1998	677	29	-	-	ADJ
cana-1998	677	30	fold	fold	ADJ
cana-1998	677	31	fuzzy	fuzzy	ADJ
cana-1998	677	32	n	n	CCONJ
cana-1998	677	33	-	-	PUNCT
cana-1998	677	34	refined	refine	VERB
cana-1998	677	35	neutrosophic	neutrosophic	ADJ
cana-1998	677	36	rings	ring	NOUN
cana-1998	677	37	for	for	ADP
cana-1998	677	38	2?n?3	2?n?3	NUM
cana-1998	677	39	,	,	PUNCT
cana-1998	677	40	neutrosophic	neutrosophic	ADJ
cana-1998	677	41	sets	set	NOUN
cana-1998	677	42	and	and	CCONJ
cana-1998	677	43	systems	system	NOUN
cana-1998	677	44	,	,	PUNCT
cana-1998	677	45	68	68	NUM
cana-1998	677	46	,	,	PUNCT
cana-1998	677	47	(	(	PUNCT
cana-1998	677	48	2024	2024	NUM
cana-1998	677	49	)	)	PUNCT
cana-1998	677	50	,	,	PUNCT
cana-1998	677	51	8	8	NUM
cana-1998	677	52	-	-	SYM
cana-1998	677	53	25	25	NUM
cana-1998	677	54	.	.	PUNCT
cana-1998	678	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	678	2	434	434	NUM
cana-1998	678	3	communications	communication	NOUN
cana-1998	678	4	on	on	ADP
cana-1998	678	5	applied	apply	VERB
cana-1998	678	6	nonlinear	nonlinear	ADJ
cana-1998	678	7	analysis	analysis	NOUN
cana-1998	678	8	issn	issn	NOUN
cana-1998	678	9	:	:	PUNCT
cana-1998	678	10	1074	1074	NUM
cana-1998	678	11	-	-	PUNCT
cana-1998	678	12	133x	133x	NUM
cana-1998	678	13	vol	vol	NOUN
cana-1998	678	14	32	32	NUM
cana-1998	678	15	no	no	NOUN
cana-1998	678	16	.	.	NOUN
cana-1998	678	17	3	3	NUM
cana-1998	678	18	(	(	PUNCT
cana-1998	678	19	2025	2025	NUM
cana-1998	678	20	)	)	PUNCT
cana-1998	679	1	[	[	X
cana-1998	679	2	24	24	NUM
cana-1998	679	3	]	]	X
cana-1998	679	4	abdallah	abdallah	PROPN
cana-1998	679	5	shihadeh	shihadeh	PROPN
cana-1998	679	6	,	,	PUNCT
cana-1998	679	7	khaled	khaled	PROPN
cana-1998	679	8	ahmad	ahmad	PROPN
cana-1998	679	9	mohammad	mohammad	PROPN
cana-1998	679	10	matarneh	matarneh	PROPN
cana-1998	679	11	,	,	PUNCT
cana-1998	679	12	raed	raed	PROPN
cana-1998	679	13	hatamleh	hatamleh	PROPN
cana-1998	679	14	,	,	PUNCT
cana-1998	679	15	randa	randa	PROPN
cana-1998	679	16	bashir	bashir	PROPN
cana-1998	679	17	yousef	yousef	PROPN
cana-1998	680	1	hijazeen	hijazeen	PROPN
cana-1998	680	2	,	,	PUNCT
cana-1998	680	3	mowafaq	mowafaq	PROPN
cana-1998	680	4	omar	omar	PROPN
cana-1998	680	5	al	al	PROPN
cana-1998	680	6	-	-	PUNCT
cana-1998	680	7	qadri	qadri	PROPN
cana-1998	680	8	,	,	PUNCT
cana-1998	680	9	abdallah	abdallah	PROPN
cana-1998	680	10	al	al	PROPN
cana-1998	680	11	-	-	PUNCT
cana-1998	680	12	husban	husban	PROPN
cana-1998	680	13	,	,	PUNCT
cana-1998	680	14	an	an	DET
cana-1998	680	15	example	example	NOUN
cana-1998	680	16	of	of	ADP
cana-1998	680	17	two	two	NUM
cana-1998	680	18	-	-	PUNCT
cana-1998	680	19	fold	fold	ADJ
cana-1998	680	20	fuzzy	fuzzy	ADJ
cana-1998	680	21	algebras	algebra	NOUN
cana-1998	680	22	based	base	VERB
cana-1998	680	23	on	on	ADP
cana-1998	680	24	neutrosophic	neutrosophic	ADJ
cana-1998	680	25	real	real	ADJ
cana-1998	680	26	numbers	number	NOUN
cana-1998	680	27	,	,	PUNCT
cana-1998	680	28	neutrosophic	neutrosophic	ADJ
cana-1998	680	29	sets	set	NOUN
cana-1998	680	30	and	and	CCONJ
cana-1998	680	31	systems	system	NOUN
cana-1998	680	32	,	,	PUNCT
cana-1998	680	33	67	67	NUM
cana-1998	680	34	,	,	PUNCT
cana-1998	680	35	(	(	PUNCT
cana-1998	680	36	2024	2024	NUM
cana-1998	680	37	)	)	PUNCT
cana-1998	680	38	,	,	PUNCT
cana-1998	680	39	169	169	NUM
cana-1998	680	40	-	-	SYM
cana-1998	680	41	178	178	NUM
cana-1998	680	42	.	.	PUNCT
cana-1998	681	1	[	[	X
cana-1998	681	2	25	25	NUM
cana-1998	681	3	]	]	X
cana-1998	681	4	raed	raed	PROPN
cana-1998	681	5	hatamleh	hatamleh	PROPN
cana-1998	681	6	,	,	PUNCT
cana-1998	681	7	ayman	ayman	PROPN
cana-1998	681	8	hazaymeh	hazaymeh	NOUN
cana-1998	681	9	,	,	PUNCT
cana-1998	681	10	on	on	ADP
cana-1998	681	11	some	some	DET
cana-1998	681	12	topological	topological	ADJ
cana-1998	681	13	spaces	space	NOUN
cana-1998	681	14	based	base	VERB
cana-1998	681	15	on	on	ADP
cana-1998	681	16	symbolic	symbolic	ADJ
cana-1998	681	17	n	n	CCONJ
cana-1998	681	18	-	-	ADJ
cana-1998	681	19	plithogenic	plithogenic	ADJ
cana-1998	681	20	intervals	interval	NOUN
cana-1998	681	21	,	,	PUNCT
cana-1998	681	22	international	international	ADJ
cana-1998	681	23	journal	journal	NOUN
cana-1998	681	24	of	of	ADP
cana-1998	681	25	neutrosophic	neutrosophic	ADJ
cana-1998	681	26	science	science	NOUN
cana-1998	681	27	,	,	PUNCT
cana-1998	681	28	25(1	25(1	NUM
cana-1998	681	29	)	)	PUNCT
cana-1998	681	30	,	,	PUNCT
cana-1998	681	31	(	(	PUNCT
cana-1998	681	32	2025	2025	NUM
cana-1998	681	33	)	)	PUNCT
cana-1998	681	34	,	,	PUNCT
cana-1998	681	35	23	23	NUM
cana-1998	681	36	-	-	SYM
cana-1998	681	37	37	37	NUM
cana-1998	681	38	.	.	PUNCT
cana-1998	682	1	[	[	X
cana-1998	682	2	26	26	NUM
cana-1998	682	3	]	]	PUNCT
cana-1998	682	4	raed	raed	PROPN
cana-1998	682	5	hatamleh	hatamleh	PROPN
cana-1998	682	6	,	,	PUNCT
cana-1998	682	7	ayman	ayman	PROPN
cana-1998	682	8	hazaymeh	hazaymeh	NOUN
cana-1998	682	9	,	,	PUNCT
cana-1998	682	10	on	on	ADP
cana-1998	682	11	the	the	DET
cana-1998	682	12	topological	topological	ADJ
cana-1998	682	13	spaces	space	NOUN
cana-1998	682	14	of	of	ADP
cana-1998	682	15	neutrosophic	neutrosophic	ADJ
cana-1998	682	16	real	real	ADJ
cana-1998	682	17	intervals	interval	NOUN
cana-1998	682	18	,	,	PUNCT
cana-1998	682	19	international	international	ADJ
cana-1998	682	20	journal	journal	NOUN
cana-1998	682	21	of	of	ADP
cana-1998	682	22	neutrosophic	neutrosophic	ADJ
cana-1998	682	23	science	science	NOUN
cana-1998	682	24	,	,	PUNCT
cana-1998	682	25	25(1	25(1	NUM
cana-1998	682	26	)	)	PUNCT
cana-1998	682	27	,	,	PUNCT
cana-1998	682	28	(	(	PUNCT
cana-1998	682	29	2025	2025	NUM
cana-1998	682	30	)	)	PUNCT
cana-1998	682	31	,	,	PUNCT
cana-1998	682	32	130	130	NUM
cana-1998	682	33	-	-	SYM
cana-1998	682	34	136	136	NUM
cana-1998	682	35	.	.	PUNCT
cana-1998	683	1	[	[	X
cana-1998	683	2	27	27	NUM
cana-1998	683	3	]	]	PUNCT
cana-1998	683	4	raed	raed	PROPN
cana-1998	683	5	hatamleh	hatamleh	PROPN
cana-1998	683	6	,	,	PUNCT
cana-1998	683	7	ayman	ayman	PROPN
cana-1998	683	8	hazaymeh	hazaymeh	NOUN
cana-1998	683	9	,	,	PUNCT
cana-1998	683	10	the	the	DET
cana-1998	683	11	properties	property	NOUN
cana-1998	683	12	of	of	ADP
cana-1998	683	13	two	two	NUM
cana-1998	683	14	-	-	PUNCT
cana-1998	683	15	fold	fold	ADJ
cana-1998	683	16	algebra	algebra	NOUN
cana-1998	683	17	based	base	VERB
cana-1998	683	18	on	on	ADP
cana-1998	683	19	the	the	DET
cana-1998	683	20	n	n	CCONJ
cana-1998	683	21	-	-	PUNCT
cana-1998	683	22	standard	standard	ADJ
cana-1998	683	23	fuzzy	fuzzy	ADJ
cana-1998	683	24	number	number	NOUN
cana-1998	683	25	theoretical	theoretical	ADJ
cana-1998	683	26	system	system	NOUN
cana-1998	683	27	,	,	PUNCT
cana-1998	683	28	international	international	ADJ
cana-1998	683	29	journal	journal	NOUN
cana-1998	683	30	of	of	ADP
cana-1998	683	31	neutrosophic	neutrosophic	ADJ
cana-1998	683	32	science	science	NOUN
cana-1998	683	33	,	,	PUNCT
cana-1998	683	34	25(1	25(1	NUM
cana-1998	683	35	)	)	PUNCT
cana-1998	683	36	,	,	PUNCT
cana-1998	683	37	(	(	PUNCT
cana-1998	683	38	2025	2025	NUM
cana-1998	683	39	)	)	PUNCT
cana-1998	683	40	,	,	PUNCT
cana-1998	683	41	172	172	NUM
cana-1998	683	42	-	-	SYM
cana-1998	683	43	178	178	NUM
cana-1998	683	44	.	.	PUNCT
cana-1998	684	1	[	[	X
cana-1998	684	2	28	28	NUM
cana-1998	684	3	]	]	X
cana-1998	684	4	dima	dima	PROPN
cana-1998	684	5	alrwashdeh	alrwashdeh	PROPN
cana-1998	684	6	,	,	PUNCT
cana-1998	684	7	talat	talat	PROPN
cana-1998	684	8	alkhouli	alkhouli	PROPN
cana-1998	684	9	,	,	PUNCT
cana-1998	684	10	ahmed	ahmed	PROPN
cana-1998	684	11	soiman	soiman	PROPN
cana-1998	684	12	rashed	rashe	VERB
cana-1998	684	13	alhawiti	alhawiti	ADV
cana-1998	684	14	,	,	PUNCT
cana-1998	684	15	ali	ali	PROPN
cana-1998	684	16	allouf	allouf	PROPN
cana-1998	684	17	,	,	PUNCT
cana-1998	684	18	hussein	hussein	PROPN
cana-1998	684	19	edduweh	edduweh	PROPN
cana-1998	684	20	,	,	PUNCT
cana-1998	684	21	abdallah	abdallah	PROPN
cana-1998	684	22	al	al	PROPN
cana-1998	684	23	-	-	PUNCT
cana-1998	684	24	husban	husban	PROPN
cana-1998	684	25	,	,	PUNCT
cana-1998	684	26	on	on	ADP
cana-1998	684	27	two	two	NUM
cana-1998	684	28	novel	novel	ADJ
cana-1998	684	29	generalized	generalize	VERB
cana-1998	684	30	versions	version	NOUN
cana-1998	684	31	of	of	ADP
cana-1998	684	32	diffie	diffie	PROPN
cana-1998	684	33	-	-	PUNCT
cana-1998	684	34	hellman	hellman	PROPN
cana-1998	684	35	key	key	PROPN
cana-1998	684	36	exchange	exchange	NOUN
cana-1998	684	37	algorithm	algorithm	NOUN
cana-1998	684	38	based	base	VERB
cana-1998	684	39	on	on	ADP
cana-1998	684	40	neutrosophic	neutrosophic	ADJ
cana-1998	684	41	and	and	CCONJ
cana-1998	684	42	split	split	ADJ
cana-1998	684	43	-	-	PUNCT
cana-1998	684	44	complex	complex	ADJ
cana-1998	684	45	integers	integer	NOUN
cana-1998	684	46	and	and	CCONJ
cana-1998	684	47	their	their	PRON
cana-1998	684	48	complexity	complexity	NOUN
cana-1998	684	49	analysis	analysis	NOUN
cana-1998	684	50	,	,	PUNCT
cana-1998	684	51	international	international	ADJ
cana-1998	684	52	journal	journal	NOUN
cana-1998	684	53	of	of	ADP
cana-1998	684	54	neutrosophic	neutrosophic	ADJ
cana-1998	684	55	science	science	NOUN
cana-1998	684	56	,	,	PUNCT
cana-1998	684	57	25(2	25(2	NUM
cana-1998	684	58	)	)	PUNCT
cana-1998	684	59	,	,	PUNCT
cana-1998	684	60	(	(	PUNCT
cana-1998	684	61	2025	2025	NUM
cana-1998	684	62	)	)	PUNCT
cana-1998	684	63	01	01	NUM
cana-1998	684	64	-	-	SYM
cana-1998	684	65	10	10	NUM
cana-1998	684	66	.	.	PUNCT
cana-1998	685	1	[	[	X
cana-1998	685	2	29	29	NUM
cana-1998	685	3	]	]	PUNCT
cana-1998	685	4	isra	isra	PROPN
cana-1998	685	5	al	al	PROPN
cana-1998	685	6	-	-	PUNCT
cana-1998	685	7	shbeil	shbeil	PROPN
cana-1998	685	8	,	,	PUNCT
cana-1998	685	9	ibraheem	ibraheem	ADJ
cana-1998	685	10	abu	abu	PROPN
cana-1998	685	11	falahah	falahah	PROPN
cana-1998	685	12	,	,	PUNCT
cana-1998	685	13	talat	talat	PROPN
cana-1998	685	14	alkhouli	alkhouli	PROPN
cana-1998	685	15	,	,	PUNCT
cana-1998	685	16	ahmed	ahmed	PROPN
cana-1998	685	17	soiman	soiman	PROPN
cana-1998	685	18	rashed	rashe	VERB
cana-1998	685	19	alhawiti	alhawiti	ADV
cana-1998	685	20	,	,	PUNCT
cana-1998	685	21	jenan	jenan	PROPN
cana-1998	685	22	shtayat	shtayat	PROPN
cana-1998	685	23	,	,	PUNCT
cana-1998	685	24	abdallah	abdallah	PROPN
cana-1998	685	25	al	al	PROPN
cana-1998	685	26	-	-	PUNCT
cana-1998	685	27	husban	husban	PROPN
cana-1998	685	28	,	,	PUNCT
cana-1998	685	29	on	on	ADP
cana-1998	685	30	the	the	DET
cana-1998	685	31	two	two	NUM
cana-1998	685	32	-	-	PUNCT
cana-1998	685	33	fold	fold	ADJ
cana-1998	685	34	maximal	maximal	ADJ
cana-1998	685	35	units	unit	NOUN
cana-1998	685	36	in	in	ADP
cana-1998	685	37	some	some	DET
cana-1998	685	38	two	two	NUM
cana-1998	685	39	-	-	PUNCT
cana-1998	685	40	fold	fold	ADJ
cana-1998	685	41	finite	finite	PROPN
cana-1998	685	42	neutrosophic	neutrosophic	PROPN
cana-1998	685	43	rings	ring	NOUN
cana-1998	685	44	modulo	modulo	NOUN
cana-1998	685	45	integers	integer	NOUN
cana-1998	685	46	for	for	ADP
cana-1998	685	47	2	2	NUM
cana-1998	685	48	≤	≤	NUM
cana-1998	685	49	5	5	NUM
cana-1998	685	50	,	,	PUNCT
cana-1998	685	51	international	international	ADJ
cana-1998	685	52	journal	journal	NOUN
cana-1998	685	53	of	of	ADP
cana-1998	685	54	neutrosophic	neutrosophic	ADJ
cana-1998	685	55	science	science	NOUN
cana-1998	685	56	,	,	PUNCT
cana-1998	685	57	25(2	25(2	NUM
cana-1998	685	58	)	)	PUNCT
cana-1998	685	59	,	,	PUNCT
cana-1998	685	60	(	(	PUNCT
cana-1998	685	61	2025	2025	NUM
cana-1998	685	62	)	)	PUNCT
cana-1998	685	63	,	,	PUNCT
cana-1998	685	64	155	155	NUM
cana-1998	685	65	-	-	SYM
cana-1998	685	66	164	164	NUM
cana-1998	685	67	.	.	PUNCT
cana-1998	686	1	[	[	X
cana-1998	686	2	30	30	NUM
cana-1998	686	3	]	]	X
cana-1998	686	4	ahmad	ahmad	PROPN
cana-1998	686	5	a.	a.	PROPN
cana-1998	686	6	abubaker	abubaker	PROPN
cana-1998	686	7	,	,	PUNCT
cana-1998	686	8	raed	raed	PROPN
cana-1998	686	9	hatamleh	hatamleh	PROPN
cana-1998	686	10	,	,	PUNCT
cana-1998	686	11	khaled	khaled	PROPN
cana-1998	686	12	matarneh	matarneh	PROPN
cana-1998	686	13	,	,	PUNCT
cana-1998	686	14	abdallah	abdallah	PROPN
cana-1998	686	15	al	al	PROPN
cana-1998	686	16	-	-	PUNCT
cana-1998	686	17	husban	husban	PROPN
cana-1998	686	18	,	,	PUNCT
cana-1998	686	19	on	on	ADP
cana-1998	686	20	the	the	DET
cana-1998	686	21	irreversible	irreversible	ADJ
cana-1998	686	22	k	k	ADJ
cana-1998	686	23	-	-	PUNCT
cana-1998	686	24	threshold	threshold	NOUN
cana-1998	686	25	conversion	conversion	NOUN
cana-1998	686	26	number	number	NOUN
cana-1998	686	27	for	for	ADP
cana-1998	686	28	some	some	DET
cana-1998	686	29	graph	graph	NOUN
cana-1998	686	30	products	product	NOUN
cana-1998	686	31	and	and	CCONJ
cana-1998	686	32	neutrosophic	neutrosophic	ADJ
cana-1998	686	33	graphs	graph	NOUN
cana-1998	686	34	,	,	PUNCT
cana-1998	686	35	international	international	ADJ
cana-1998	686	36	journal	journal	NOUN
cana-1998	686	37	of	of	ADP
cana-1998	686	38	neutrosophic	neutrosophic	ADJ
cana-1998	686	39	science	science	NOUN
cana-1998	686	40	,	,	PUNCT
cana-1998	686	41	25(2	25(2	NUM
cana-1998	686	42	)	)	PUNCT
cana-1998	686	43	,	,	PUNCT
cana-1998	686	44	(	(	PUNCT
cana-1998	686	45	2025	2025	NUM
cana-1998	686	46	)	)	PUNCT
cana-1998	686	47	,	,	PUNCT
cana-1998	686	48	197205	197205	NUM
cana-1998	686	49	.	.	PUNCT
cana-1998	687	1	[	[	X
cana-1998	687	2	31	31	NUM
cana-1998	687	3	]	]	SYM
cana-1998	687	4	hazaymeh	hazaymeh	NOUN
cana-1998	687	5	,	,	PUNCT
cana-1998	687	6	ayman	ayman	PROPN
cana-1998	687	7	.	.	PUNCT
cana-1998	687	8	time	time	PROPN
cana-1998	687	9	effective	effective	ADJ
cana-1998	687	10	fuzzy	fuzzy	ADJ
cana-1998	687	11	soft	soft	ADJ
cana-1998	687	12	set	set	NOUN
cana-1998	687	13	and	and	CCONJ
cana-1998	687	14	its	its	PRON
cana-1998	687	15	some	some	DET
cana-1998	687	16	applications	application	NOUN
cana-1998	687	17	with	with	ADP
cana-1998	687	18	and	and	CCONJ
cana-1998	687	19	without	without	ADP
cana-1998	687	20	a	a	DET
cana-1998	687	21	neutrosophic	neutrosophic	ADJ
cana-1998	687	22	.	.	PUNCT
cana-1998	688	1	international	international	ADJ
cana-1998	688	2	journal	journal	PROPN
cana-1998	688	3	of	of	ADP
cana-1998	688	4	neutrosophic	neutrosophic	ADJ
cana-1998	688	5	science	science	NOUN
cana-1998	688	6	,	,	PUNCT
cana-1998	688	7	2024	2024	NUM
cana-1998	688	8	,	,	PUNCT
cana-1998	688	9	129149	129149	NUM
cana-1998	688	10	.	.	PUNCT
cana-1998	689	1	[	[	X
cana-1998	689	2	32	32	NUM
cana-1998	689	3	]	]	PUNCT
cana-1998	689	4	sivakumar	sivakumar	PROPN
cana-1998	689	5	,	,	PUNCT
cana-1998	689	6	c	c	X
cana-1998	689	7	..	..	PUNCT
cana-1998	689	8	,	,	PUNCT
cana-1998	689	9	omar	omar	PROPN
cana-1998	689	10	,	,	PUNCT
cana-1998	689	11	mowafaq	mowafaq	NOUN
cana-1998	689	12	.	.	PUNCT
cana-1998	690	1	,	,	PUNCT
cana-1998	690	2	shihadeh	shihadeh	VERB
cana-1998	690	3	,	,	PUNCT
cana-1998	690	4	abdallah	abdallah	PROPN
cana-1998	690	5	.	.	PROPN
cana-1998	690	6	,	,	PUNCT
cana-1998	690	7	atallah	atallah	PROPN
cana-1998	690	8	,	,	PUNCT
cana-1998	690	9	ahmed	ahmed	PROPN
cana-1998	690	10	.	.	PROPN
cana-1998	690	11	,	,	PUNCT
cana-1998	691	1	al	al	PROPN
cana-1998	691	2	-	-	PUNCT
cana-1998	691	3	husban	husban	PROPN
cana-1998	691	4	,	,	PUNCT
cana-1998	691	5	abdallah	abdallah	PROPN
cana-1998	691	6	.	.	PROPN
cana-1998	691	7	,	,	PUNCT
cana-1998	691	8	maragatha	maragatha	PROPN
cana-1998	691	9	,	,	PUNCT
cana-1998	691	10	p	p	X
cana-1998	691	11	..	..	PUNCT
cana-1998	691	12	,	,	PUNCT
cana-1998	691	13	rajesh	rajesh	PROPN
cana-1998	691	14	,	,	PUNCT
cana-1998	691	15	n	n	CCONJ
cana-1998	691	16	..	..	PUNCT
cana-1998	691	17	,	,	PUNCT
cana-1998	691	18	palanikumar	palanikumar	PROPN
cana-1998	691	19	,	,	PUNCT
cana-1998	691	20	m	m	PROPN
cana-1998	691	21	..	..	PUNCT
cana-1998	691	22	q	q	ADJ
cana-1998	691	23	-	-	PUNCT
cana-1998	691	24	rung	rung	ADJ
cana-1998	691	25	square	square	ADJ
cana-1998	691	26	root	root	NOUN
cana-1998	691	27	intervalvalued	intervalvalue	VERB
cana-1998	691	28	neutrosophic	neutrosophic	ADJ
cana-1998	691	29	sets	set	NOUN
cana-1998	691	30	with	with	ADP
cana-1998	691	31	respect	respect	NOUN
cana-1998	691	32	to	to	ADP
cana-1998	691	33	aggregated	aggregate	VERB
cana-1998	691	34	operators	operator	NOUN
cana-1998	691	35	using	use	VERB
cana-1998	691	36	multiple	multiple	ADJ
cana-1998	691	37	attribute	attribute	NOUN
cana-1998	691	38	decision	decision	NOUN
cana-1998	691	39	making	making	NOUN
cana-1998	691	40	.	.	PUNCT
cana-1998	692	1	international	international	ADJ
cana-1998	692	2	journal	journal	PROPN
cana-1998	692	3	of	of	ADP
cana-1998	692	4	neutrosophic	neutrosophic	ADJ
cana-1998	692	5	science	science	NOUN
cana-1998	692	6	,	,	PUNCT
cana-1998	692	7	2024	2024	NUM
cana-1998	692	8	,	,	PUNCT
cana-1998	692	9	154	154	NUM
cana-1998	692	10	-	-	SYM
cana-1998	692	11	174	174	NUM
cana-1998	692	12	.	.	PUNCT
cana-1998	693	1	https://internationalpubls.com	https://internationalpubls.com	X
cana-1998	693	2	435	435	NUM
cana-1998	693	3	1	1	NUM
cana-1998	693	4	introduction	introduction	NOUN
cana-1998	693	5	2	2	NUM
cana-1998	693	6	preliminaries	preliminary	NOUN
cana-1998	693	7	3	3	NUM
cana-1998	693	8	complex	complex	ADJ
cana-1998	693	9	cubic	cubic	ADJ
cana-1998	693	10	intuitionistic	intuitionistic	ADJ
cana-1998	693	11	fuzzy	fuzzy	ADJ
cana-1998	693	12	subbisemiring	subbisemiring	NOUN