id	sid	tid	token	lemma	pos
ejpam-4353	1	1	european	european	PROPN
ejpam-4353	1	2	journal	journal	PROPN
ejpam-4353	1	3	of	of	ADP
ejpam-4353	1	4	pure	pure	ADJ
ejpam-4353	1	5	and	and	CCONJ
ejpam-4353	1	6	applied	apply	VERB
ejpam-4353	1	7	mathematics	mathematic	NOUN
ejpam-4353	1	8	vol	vol	NOUN
ejpam-4353	1	9	.	.	PROPN
ejpam-4353	2	1	15	15	NUM
ejpam-4353	2	2	,	,	PUNCT
ejpam-4353	2	3	no	no	INTJ
ejpam-4353	2	4	.	.	NOUN
ejpam-4353	2	5	2	2	NUM
ejpam-4353	2	6	,	,	PUNCT
ejpam-4353	2	7	2022	2022	NUM
ejpam-4353	2	8	,	,	PUNCT
ejpam-4353	2	9	646	646	NUM
ejpam-4353	2	10	-	-	SYM
ejpam-4353	2	11	671	671	NUM
ejpam-4353	2	12	issn	issn	PROPN
ejpam-4353	2	13	1307	1307	NUM
ejpam-4353	2	14	-	-	SYM
ejpam-4353	2	15	5543	5543	NUM
ejpam-4353	2	16	–	–	PUNCT
ejpam-4353	2	17	ejpam.com	ejpam.com	X
ejpam-4353	2	18	published	publish	VERB
ejpam-4353	2	19	by	by	ADP
ejpam-4353	2	20	new	new	PROPN
ejpam-4353	2	21	york	york	PROPN
ejpam-4353	2	22	business	business	PROPN
ejpam-4353	2	23	global	global	ADJ
ejpam-4353	2	24	bipolar	bipolar	ADJ
ejpam-4353	2	25	soft	soft	ADJ
ejpam-4353	2	26	generalized	generalized	ADJ
ejpam-4353	2	27	topological	topological	ADJ
ejpam-4353	2	28	structures	structure	NOUN
ejpam-4353	2	29	and	and	CCONJ
ejpam-4353	2	30	their	their	PRON
ejpam-4353	2	31	application	application	NOUN
ejpam-4353	2	32	in	in	ADP
ejpam-4353	2	33	decision	decision	NOUN
ejpam-4353	2	34	making	make	VERB
ejpam-4353	2	35	hind	hind	NOUN
ejpam-4353	2	36	y.	y.	PROPN
ejpam-4353	2	37	saleh1	saleh1	PROPN
ejpam-4353	2	38	,	,	PUNCT
ejpam-4353	2	39	baravan	baravan	PROPN
ejpam-4353	2	40	a.	a.	PROPN
ejpam-4353	2	41	asaad2,3,∗	asaad2,3,∗	PROPN
ejpam-4353	2	42	,	,	PUNCT
ejpam-4353	2	43	ramadhan	ramadhan	PROPN
ejpam-4353	2	44	a.	a.	NOUN
ejpam-4353	2	45	mohammed1	mohammed1	PROPN
ejpam-4353	2	46	1	1	NUM
ejpam-4353	2	47	department	department	NOUN
ejpam-4353	2	48	of	of	ADP
ejpam-4353	2	49	mathematics	mathematic	NOUN
ejpam-4353	2	50	,	,	PUNCT
ejpam-4353	2	51	college	college	NOUN
ejpam-4353	2	52	of	of	ADP
ejpam-4353	2	53	basic	basic	ADJ
ejpam-4353	2	54	education	education	NOUN
ejpam-4353	2	55	,	,	PUNCT
ejpam-4353	2	56	university	university	NOUN
ejpam-4353	2	57	of	of	ADP
ejpam-4353	2	58	duhok	duhok	NOUN
ejpam-4353	2	59	,	,	PUNCT
ejpam-4353	2	60	duhok-42001	duhok-42001	NOUN
ejpam-4353	2	61	,	,	PUNCT
ejpam-4353	2	62	iraq	iraq	PROPN
ejpam-4353	2	63	2	2	NUM
ejpam-4353	2	64	department	department	NOUN
ejpam-4353	2	65	of	of	ADP
ejpam-4353	2	66	computer	computer	NOUN
ejpam-4353	2	67	science	science	NOUN
ejpam-4353	2	68	,	,	PUNCT
ejpam-4353	2	69	college	college	NOUN
ejpam-4353	2	70	of	of	ADP
ejpam-4353	2	71	science	science	NOUN
ejpam-4353	2	72	,	,	PUNCT
ejpam-4353	2	73	cihan	cihan	VERB
ejpam-4353	2	74	university	university	NOUN
ejpam-4353	2	75	-	-	PUNCT
ejpam-4353	2	76	duhok	duhok	NOUN
ejpam-4353	2	77	,	,	PUNCT
ejpam-4353	2	78	duhok-42001	duhok-42001	NOUN
ejpam-4353	2	79	,	,	PUNCT
ejpam-4353	2	80	iraq	iraq	PROPN
ejpam-4353	2	81	3	3	NUM
ejpam-4353	2	82	department	department	NOUN
ejpam-4353	2	83	of	of	ADP
ejpam-4353	2	84	mathematics	mathematic	NOUN
ejpam-4353	2	85	,	,	PUNCT
ejpam-4353	2	86	faculty	faculty	NOUN
ejpam-4353	2	87	of	of	ADP
ejpam-4353	2	88	science	science	NOUN
ejpam-4353	2	89	,	,	PUNCT
ejpam-4353	2	90	university	university	NOUN
ejpam-4353	2	91	of	of	ADP
ejpam-4353	2	92	zakho	zakho	PROPN
ejpam-4353	2	93	,	,	PUNCT
ejpam-4353	2	94	zakho-42002	zakho-42002	NOUN
ejpam-4353	2	95	,	,	PUNCT
ejpam-4353	2	96	iraq	iraq	PROPN
ejpam-4353	2	97	abstract	abstract	NOUN
ejpam-4353	2	98	.	.	PUNCT
ejpam-4353	3	1	the	the	DET
ejpam-4353	3	2	basic	basic	ADJ
ejpam-4353	3	3	of	of	ADP
ejpam-4353	3	4	bipolar	bipolar	ADJ
ejpam-4353	3	5	soft	soft	ADJ
ejpam-4353	3	6	set	set	NOUN
ejpam-4353	3	7	theory	theory	NOUN
ejpam-4353	3	8	stands	stand	VERB
ejpam-4353	3	9	for	for	ADP
ejpam-4353	3	10	a	a	DET
ejpam-4353	3	11	mathematical	mathematical	ADJ
ejpam-4353	3	12	instrument	instrument	NOUN
ejpam-4353	3	13	that	that	PRON
ejpam-4353	3	14	brings	bring	VERB
ejpam-4353	3	15	together	together	ADV
ejpam-4353	3	16	the	the	DET
ejpam-4353	3	17	soft	soft	ADJ
ejpam-4353	3	18	set	set	NOUN
ejpam-4353	3	19	theory	theory	NOUN
ejpam-4353	3	20	and	and	CCONJ
ejpam-4353	3	21	bipolarity	bipolarity	NOUN
ejpam-4353	3	22	.	.	PUNCT
ejpam-4353	4	1	its	its	PRON
ejpam-4353	4	2	definition	definition	NOUN
ejpam-4353	4	3	is	be	AUX
ejpam-4353	4	4	based	base	VERB
ejpam-4353	4	5	on	on	ADP
ejpam-4353	4	6	two	two	NUM
ejpam-4353	4	7	soft	soft	ADJ
ejpam-4353	4	8	sets	set	NOUN
ejpam-4353	4	9	,	,	PUNCT
ejpam-4353	4	10	a	a	DET
ejpam-4353	4	11	set	set	NOUN
ejpam-4353	4	12	that	that	PRON
ejpam-4353	4	13	provides	provide	VERB
ejpam-4353	4	14	positive	positive	ADJ
ejpam-4353	4	15	information	information	NOUN
ejpam-4353	4	16	and	and	CCONJ
ejpam-4353	4	17	other	other	ADJ
ejpam-4353	4	18	that	that	PRON
ejpam-4353	4	19	gives	give	VERB
ejpam-4353	4	20	negative	negative	ADJ
ejpam-4353	4	21	.	.	PUNCT
ejpam-4353	5	1	this	this	DET
ejpam-4353	5	2	paper	paper	NOUN
ejpam-4353	5	3	mainly	mainly	ADV
ejpam-4353	5	4	aims	aim	VERB
ejpam-4353	5	5	at	at	ADP
ejpam-4353	5	6	defining	define	VERB
ejpam-4353	5	7	a	a	DET
ejpam-4353	5	8	new	new	ADJ
ejpam-4353	5	9	bipolar	bipolar	ADJ
ejpam-4353	5	10	soft	soft	ADJ
ejpam-4353	5	11	generalized	generalized	ADJ
ejpam-4353	5	12	topological	topological	ADJ
ejpam-4353	5	13	space	space	NOUN
ejpam-4353	5	14	;	;	PUNCT
ejpam-4353	5	15	setting	set	VERB
ejpam-4353	5	16	out	out	ADP
ejpam-4353	5	17	of	of	ADP
ejpam-4353	5	18	the	the	DET
ejpam-4353	5	19	point	point	NOUN
ejpam-4353	5	20	that	that	SCONJ
ejpam-4353	5	21	the	the	DET
ejpam-4353	5	22	collection	collection	NOUN
ejpam-4353	5	23	of	of	ADP
ejpam-4353	5	24	bipolar	bipolar	ADJ
ejpam-4353	5	25	soft	soft	ADJ
ejpam-4353	5	26	sets	set	NOUN
ejpam-4353	5	27	forms	form	VERB
ejpam-4353	5	28	the	the	DET
ejpam-4353	5	29	basis	basis	NOUN
ejpam-4353	5	30	for	for	SCONJ
ejpam-4353	5	31	the	the	DET
ejpam-4353	5	32	definition	definition	NOUN
ejpam-4353	5	33	of	of	ADP
ejpam-4353	5	34	the	the	DET
ejpam-4353	5	35	new	new	ADJ
ejpam-4353	5	36	concept	concept	NOUN
ejpam-4353	5	37	is	be	AUX
ejpam-4353	5	38	defined	define	VERB
ejpam-4353	5	39	.	.	PUNCT
ejpam-4353	6	1	added	add	VERB
ejpam-4353	6	2	to	to	ADP
ejpam-4353	6	3	that	that	PRON
ejpam-4353	6	4	,	,	PUNCT
ejpam-4353	6	5	an	an	DET
ejpam-4353	6	6	investigation	investigation	NOUN
ejpam-4353	6	7	has	have	AUX
ejpam-4353	6	8	been	be	AUX
ejpam-4353	6	9	made	make	VERB
ejpam-4353	6	10	of	of	ADP
ejpam-4353	6	11	the	the	DET
ejpam-4353	6	12	four	four	NUM
ejpam-4353	6	13	concepts	concept	NOUN
ejpam-4353	6	14	of	of	ADP
ejpam-4353	6	15	bipolar	bipolar	ADJ
ejpam-4353	6	16	soft	soft	ADJ
ejpam-4353	6	17	generalized	generalize	VERB
ejpam-4353	6	18	,	,	PUNCT
ejpam-4353	6	19	namely	namely	ADV
ejpam-4353	6	20	˜̃g	˜̃g	PROPN
ejpam-4353	6	21	-	-	PUNCT
ejpam-4353	6	22	interior,˜̃g	interior,˜̃g	NOUN
ejpam-4353	6	23	-	-	PUNCT
ejpam-4353	6	24	closure	closure	NOUN
ejpam-4353	6	25	,	,	PUNCT
ejpam-4353	6	26	˜̃g	˜̃g	NOUN
ejpam-4353	6	27	-	-	PUNCT
ejpam-4353	6	28	exterior	exterior	NOUN
ejpam-4353	6	29	and	and	CCONJ
ejpam-4353	6	30	˜̃g	˜̃g	NOUN
ejpam-4353	6	31	-	-	PUNCT
ejpam-4353	6	32	boundary	boundary	NOUN
ejpam-4353	6	33	.	.	PUNCT
ejpam-4353	7	1	furthermore	furthermore	ADV
ejpam-4353	7	2	,	,	PUNCT
ejpam-4353	7	3	the	the	DET
ejpam-4353	7	4	main	main	ADJ
ejpam-4353	7	5	properties	property	NOUN
ejpam-4353	7	6	of	of	ADP
ejpam-4353	7	7	bipolar	bipolar	ADJ
ejpam-4353	7	8	soft	soft	ADJ
ejpam-4353	7	9	generalized	generalized	ADJ
ejpam-4353	7	10	topological	topological	ADJ
ejpam-4353	7	11	space	space	NOUN
ejpam-4353	7	12	(	(	PUNCT
ejpam-4353	7	13	bsgt	bsgt	NOUN
ejpam-4353	7	14	s	s	PART
ejpam-4353	7	15	)	)	PUNCT
ejpam-4353	7	16	are	be	AUX
ejpam-4353	7	17	established	establish	VERB
ejpam-4353	7	18	.	.	PUNCT
ejpam-4353	8	1	this	this	DET
ejpam-4353	8	2	paper	paper	NOUN
ejpam-4353	8	3	also	also	ADV
ejpam-4353	8	4	attends	attend	VERB
ejpam-4353	8	5	to	to	ADP
ejpam-4353	8	6	the	the	DET
ejpam-4353	8	7	discussion	discussion	NOUN
ejpam-4353	8	8	of	of	ADP
ejpam-4353	8	9	the	the	DET
ejpam-4353	8	10	relations	relation	NOUN
ejpam-4353	8	11	between	between	ADP
ejpam-4353	8	12	these	these	DET
ejpam-4353	8	13	new	new	ADJ
ejpam-4353	8	14	definitions	definition	NOUN
ejpam-4353	8	15	and	and	CCONJ
ejpam-4353	8	16	the	the	DET
ejpam-4353	8	17	application	application	NOUN
ejpam-4353	8	18	of	of	ADP
ejpam-4353	8	19	the	the	DET
ejpam-4353	8	20	given	give	VERB
ejpam-4353	8	21	bipolar	bipolar	ADJ
ejpam-4353	8	22	soft	soft	ADJ
ejpam-4353	8	23	generalized	generalized	ADJ
ejpam-4353	8	24	topological	topological	ADJ
ejpam-4353	8	25	spaces	space	NOUN
ejpam-4353	8	26	in	in	ADP
ejpam-4353	8	27	a	a	DET
ejpam-4353	8	28	decision	decision	NOUN
ejpam-4353	8	29	-	-	PUNCT
ejpam-4353	8	30	making	make	VERB
ejpam-4353	8	31	problem	problem	NOUN
ejpam-4353	8	32	where	where	SCONJ
ejpam-4353	8	33	an	an	DET
ejpam-4353	8	34	algorithm	algorithm	NOUN
ejpam-4353	8	35	for	for	ADP
ejpam-4353	8	36	this	this	DET
ejpam-4353	8	37	application	application	NOUN
ejpam-4353	8	38	has	have	AUX
ejpam-4353	8	39	been	be	AUX
ejpam-4353	8	40	suggested	suggest	VERB
ejpam-4353	8	41	.	.	PUNCT
ejpam-4353	9	1	finally	finally	ADV
ejpam-4353	9	2	,	,	PUNCT
ejpam-4353	9	3	to	to	PART
ejpam-4353	9	4	clarify	clarify	VERB
ejpam-4353	9	5	and	and	CCONJ
ejpam-4353	9	6	substantiate	substantiate	VERB
ejpam-4353	9	7	what	what	PRON
ejpam-4353	9	8	the	the	DET
ejpam-4353	9	9	current	current	ADJ
ejpam-4353	9	10	work	work	NOUN
ejpam-4353	9	11	subsumes	subsume	VERB
ejpam-4353	9	12	,	,	PUNCT
ejpam-4353	9	13	some	some	DET
ejpam-4353	9	14	examples	example	NOUN
ejpam-4353	9	15	have	have	AUX
ejpam-4353	9	16	been	be	AUX
ejpam-4353	9	17	provided	provide	VERB
ejpam-4353	9	18	.	.	PUNCT
ejpam-4353	10	1	2020	2020	NUM
ejpam-4353	10	2	mathematics	mathematic	NOUN
ejpam-4353	10	3	subject	subject	NOUN
ejpam-4353	10	4	classifications	classification	NOUN
ejpam-4353	10	5	:	:	PUNCT
ejpam-4353	10	6	03e75	03e75	NUM
ejpam-4353	10	7	,	,	PUNCT
ejpam-4353	10	8	54a05	54a05	NUM
ejpam-4353	10	9	key	key	ADJ
ejpam-4353	10	10	words	word	NOUN
ejpam-4353	10	11	and	and	CCONJ
ejpam-4353	10	12	phrases	phrase	NOUN
ejpam-4353	10	13	:	:	PUNCT
ejpam-4353	10	14	soft	soft	ADJ
ejpam-4353	10	15	set	set	NOUN
ejpam-4353	10	16	,	,	PUNCT
ejpam-4353	10	17	bss	bss	NOUN
ejpam-4353	10	18	,	,	PUNCT
ejpam-4353	10	19	bsgt	bsgt	NOUN
ejpam-4353	10	20	s	s	PRON
ejpam-4353	10	21	,	,	PUNCT
ejpam-4353	10	22	bipolar	bipolar	ADJ
ejpam-4353	10	23	soft	soft	ADJ
ejpam-4353	10	24	˜̃g	˜̃g	NOUN
ejpam-4353	10	25	-	-	PUNCT
ejpam-4353	10	26	open	open	ADJ
ejpam-4353	10	27	(	(	PUNCT
ejpam-4353	10	28	bipolar	bipolar	ADJ
ejpam-4353	10	29	soft	soft	ADJ
ejpam-4353	10	30	˜̃g	˜̃g	NOUN
ejpam-4353	10	31	-	-	PUNCT
ejpam-4353	10	32	closed	closed	ADJ
ejpam-4353	10	33	)	)	PUNCT
ejpam-4353	10	34	set	set	NOUN
ejpam-4353	10	35	,	,	PUNCT
ejpam-4353	10	36	bipolar	bipolar	ADJ
ejpam-4353	10	37	soft	soft	ADJ
ejpam-4353	10	38	˜̃g	˜̃g	NOUN
ejpam-4353	10	39	-	-	PUNCT
ejpam-4353	10	40	interior	interior	ADJ
ejpam-4353	10	41	,	,	PUNCT
ejpam-4353	10	42	bipolar	bipolar	ADJ
ejpam-4353	10	43	soft	soft	ADJ
ejpam-4353	10	44	˜̃g	˜̃g	NOUN
ejpam-4353	10	45	-	-	PUNCT
ejpam-4353	10	46	closure	closure	NOUN
ejpam-4353	10	47	,	,	PUNCT
ejpam-4353	10	48	decision	decision	NOUN
ejpam-4353	10	49	making	make	VERB
ejpam-4353	10	50	1	1	NUM
ejpam-4353	10	51	.	.	PUNCT
ejpam-4353	10	52	introduction	introduction	NOUN
ejpam-4353	10	53	for	for	ADP
ejpam-4353	10	54	formal	formal	ADJ
ejpam-4353	10	55	modeling	modeling	NOUN
ejpam-4353	10	56	,	,	PUNCT
ejpam-4353	10	57	reasoning	reasoning	NOUN
ejpam-4353	10	58	,	,	PUNCT
ejpam-4353	10	59	and	and	CCONJ
ejpam-4353	10	60	computing	computing	NOUN
ejpam-4353	10	61	,	,	PUNCT
ejpam-4353	10	62	the	the	DET
ejpam-4353	10	63	majority	majority	NOUN
ejpam-4353	10	64	of	of	ADP
ejpam-4353	10	65	the	the	DET
ejpam-4353	10	66	traditional	traditional	ADJ
ejpam-4353	10	67	tools	tool	NOUN
ejpam-4353	10	68	are	be	AUX
ejpam-4353	10	69	characterized	characterize	VERB
ejpam-4353	10	70	by	by	ADP
ejpam-4353	10	71	being	be	AUX
ejpam-4353	10	72	crisp	crisp	ADJ
ejpam-4353	10	73	,	,	PUNCT
ejpam-4353	10	74	deterministic	deterministic	ADJ
ejpam-4353	10	75	,	,	PUNCT
ejpam-4353	10	76	and	and	CCONJ
ejpam-4353	10	77	precise	precise	ADJ
ejpam-4353	10	78	.	.	PUNCT
ejpam-4353	11	1	yet	yet	ADV
ejpam-4353	11	2	in	in	ADP
ejpam-4353	11	3	the	the	DET
ejpam-4353	11	4	domains	domain	NOUN
ejpam-4353	11	5	of	of	ADP
ejpam-4353	11	6	economics	economic	NOUN
ejpam-4353	11	7	,	,	PUNCT
ejpam-4353	11	8	engineering	engineering	NOUN
ejpam-4353	11	9	,	,	PUNCT
ejpam-4353	11	10	environment	environment	NOUN
ejpam-4353	11	11	,	,	PUNCT
ejpam-4353	11	12	social	social	ADJ
ejpam-4353	11	13	science	science	NOUN
ejpam-4353	11	14	,	,	PUNCT
ejpam-4353	11	15	medical	medical	ADJ
ejpam-4353	11	16	science	science	NOUN
ejpam-4353	11	17	,	,	PUNCT
ejpam-4353	11	18	etc	etc	X
ejpam-4353	11	19	.	.	X
ejpam-4353	11	20	,	,	PUNCT
ejpam-4353	11	21	many	many	ADJ
ejpam-4353	11	22	complicated	complicated	ADJ
ejpam-4353	11	23	problematic	problematic	ADJ
ejpam-4353	11	24	issues	issue	NOUN
ejpam-4353	11	25	exist	exist	VERB
ejpam-4353	11	26	.	.	PUNCT
ejpam-4353	12	1	as	as	SCONJ
ejpam-4353	12	2	such	such	ADJ
ejpam-4353	12	3	,	,	PUNCT
ejpam-4353	12	4	to	to	PART
ejpam-4353	12	5	solve	solve	VERB
ejpam-4353	12	6	or	or	CCONJ
ejpam-4353	12	7	model	model	VERB
ejpam-4353	12	8	them	they	PRON
ejpam-4353	12	9	,	,	PUNCT
ejpam-4353	12	10	the	the	DET
ejpam-4353	12	11	typical	typical	ADJ
ejpam-4353	12	12	methods	method	NOUN
ejpam-4353	12	13	based	base	VERB
ejpam-4353	12	14	on	on	ADP
ejpam-4353	12	15	the	the	DET
ejpam-4353	12	16	case	case	NOUN
ejpam-4353	12	17	,	,	PUNCT
ejpam-4353	12	18	in	in	ADP
ejpam-4353	12	19	particular	particular	ADJ
ejpam-4353	12	20	,	,	PUNCT
ejpam-4353	12	21	may	may	AUX
ejpam-4353	12	22	lack	lack	VERB
ejpam-4353	12	23	suitability	suitability	NOUN
ejpam-4353	12	24	.	.	PUNCT
ejpam-4353	13	1	on	on	ADP
ejpam-4353	13	2	this	this	DET
ejpam-4353	13	3	basis	basis	NOUN
ejpam-4353	13	4	,	,	PUNCT
ejpam-4353	13	5	a	a	DET
ejpam-4353	13	6	set	set	NOUN
ejpam-4353	13	7	of	of	ADP
ejpam-4353	13	8	theories	theory	NOUN
ejpam-4353	13	9	has	have	AUX
ejpam-4353	13	10	been	be	AUX
ejpam-4353	13	11	∗corresponding	∗corresponde	VERB
ejpam-4353	13	12	author	author	NOUN
ejpam-4353	13	13	.	.	PUNCT
ejpam-4353	14	1	doi	doi	NOUN
ejpam-4353	14	2	:	:	PUNCT
ejpam-4353	14	3	https://doi.org/10.29020/nybg.ejpam.v15i2.4353	https://doi.org/10.29020/nybg.ejpam.v15i2.4353	PROPN
ejpam-4353	14	4	email	email	NOUN
ejpam-4353	14	5	addresses	address	VERB
ejpam-4353	14	6	:	:	PUNCT
ejpam-4353	14	7	hind.saleh@uod.ac	hind.saleh@uod.ac	PROPN
ejpam-4353	14	8	(	(	PUNCT
ejpam-4353	14	9	h.	h.	PROPN
ejpam-4353	14	10	y.	y.	PROPN
ejpam-4353	14	11	saleh	saleh	PROPN
ejpam-4353	14	12	)	)	PUNCT
ejpam-4353	14	13	,	,	PUNCT
ejpam-4353	14	14	baravan.asaad@uoz.edu.krd	baravan.asaad@uoz.edu.krd	PROPN
ejpam-4353	14	15	(	(	PUNCT
ejpam-4353	14	16	b.	b.	PROPN
ejpam-4353	14	17	a.	a.	PROPN
ejpam-4353	14	18	asaad	asaad	PROPN
ejpam-4353	14	19	)	)	PUNCT
ejpam-4353	14	20	,	,	PUNCT
ejpam-4353	14	21	ramadhan.hajani@uod.ac	ramadhan.hajani@uod.ac	PROPN
ejpam-4353	14	22	(	(	PUNCT
ejpam-4353	14	23	r.	r.	PROPN
ejpam-4353	14	24	a.	a.	PROPN
ejpam-4353	14	25	mohammed	mohammed	PROPN
ejpam-4353	14	26	)	)	PUNCT
ejpam-4353	14	27	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-4353	15	1	646	646	NUM
ejpam-4353	16	1	©	©	ADP
ejpam-4353	16	2	2022	2022	NUM
ejpam-4353	16	3	ejpam	ejpam	VERB
ejpam-4353	16	4	all	all	DET
ejpam-4353	16	5	rights	right	NOUN
ejpam-4353	16	6	reserved	reserve	VERB
ejpam-4353	16	7	.	.	PUNCT
ejpam-4353	17	1	h.	h.	PROPN
ejpam-4353	17	2	y.	y.	PROPN
ejpam-4353	17	3	saleh	saleh	PROPN
ejpam-4353	17	4	,	,	PUNCT
ejpam-4353	17	5	b.	b.	PROPN
ejpam-4353	17	6	a.	a.	PROPN
ejpam-4353	17	7	asaad	asaad	PROPN
ejpam-4353	17	8	,	,	PUNCT
ejpam-4353	17	9	r.	r.	PROPN
ejpam-4353	17	10	a.	a.	PROPN
ejpam-4353	17	11	mohammed	mohammed	PROPN
ejpam-4353	17	12	/	/	SYM
ejpam-4353	17	13	eur	eur	PROPN
ejpam-4353	17	14	.	.	PUNCT
ejpam-4353	18	1	j.	j.	PROPN
ejpam-4353	18	2	pure	pure	PROPN
ejpam-4353	18	3	appl	appl	PROPN
ejpam-4353	18	4	.	.	PROPN
ejpam-4353	18	5	math	math	PROPN
ejpam-4353	18	6	,	,	PUNCT
ejpam-4353	18	7	15	15	NUM
ejpam-4353	18	8	(	(	PUNCT
ejpam-4353	18	9	2	2	NUM
ejpam-4353	18	10	)	)	PUNCT
ejpam-4353	18	11	(	(	PUNCT
ejpam-4353	18	12	2022	2022	NUM
ejpam-4353	18	13	)	)	PUNCT
ejpam-4353	18	14	,	,	PUNCT
ejpam-4353	18	15	646	646	NUM
ejpam-4353	18	16	-	-	SYM
ejpam-4353	18	17	671	671	NUM
ejpam-4353	18	18	647	647	NUM
ejpam-4353	18	19	proposed	propose	VERB
ejpam-4353	18	20	to	to	PART
ejpam-4353	18	21	tackle	tackle	VERB
ejpam-4353	18	22	these	these	DET
ejpam-4353	18	23	issues	issue	NOUN
ejpam-4353	18	24	.	.	PUNCT
ejpam-4353	19	1	in	in	ADP
ejpam-4353	19	2	1999	1999	NUM
ejpam-4353	19	3	,	,	PUNCT
ejpam-4353	19	4	molodtsov	molodtsov	NOUN
ejpam-4353	19	5	[	[	X
ejpam-4353	19	6	27	27	NUM
ejpam-4353	19	7	]	]	PUNCT
ejpam-4353	19	8	adopted	adopt	VERB
ejpam-4353	19	9	the	the	DET
ejpam-4353	19	10	soft	soft	ADJ
ejpam-4353	19	11	set	set	NOUN
ejpam-4353	19	12	theory	theory	NOUN
ejpam-4353	19	13	that	that	PRON
ejpam-4353	19	14	was	be	AUX
ejpam-4353	19	15	designed	design	VERB
ejpam-4353	19	16	to	to	PART
ejpam-4353	19	17	solve	solve	VERB
ejpam-4353	19	18	sophisticated	sophisticated	ADJ
ejpam-4353	19	19	problems	problem	NOUN
ejpam-4353	19	20	.	.	PUNCT
ejpam-4353	20	1	molodtsov	molodtsov	PROPN
ejpam-4353	20	2	’s	’s	PART
ejpam-4353	20	3	theory	theory	NOUN
ejpam-4353	20	4	has	have	AUX
ejpam-4353	20	5	been	be	AUX
ejpam-4353	20	6	implemented	implement	VERB
ejpam-4353	20	7	in	in	ADP
ejpam-4353	20	8	several	several	ADJ
ejpam-4353	20	9	branches	branch	NOUN
ejpam-4353	20	10	of	of	ADP
ejpam-4353	20	11	mathematics	mathematic	NOUN
ejpam-4353	20	12	.	.	PUNCT
ejpam-4353	21	1	examples	example	NOUN
ejpam-4353	21	2	are	be	AUX
ejpam-4353	21	3	decision	decision	NOUN
ejpam-4353	21	4	making	make	VERB
ejpam-4353	21	5	problems	problem	NOUN
ejpam-4353	21	6	,	,	PUNCT
ejpam-4353	21	7	medical	medical	ADJ
ejpam-4353	21	8	science	science	NOUN
ejpam-4353	21	9	,	,	PUNCT
ejpam-4353	21	10	social	social	ADJ
ejpam-4353	21	11	sciences	science	NOUN
ejpam-4353	21	12	,	,	PUNCT
ejpam-4353	21	13	operation	operation	NOUN
ejpam-4353	21	14	research	research	NOUN
ejpam-4353	21	15	etc	etc	X
ejpam-4353	21	16	.	.	PUNCT
ejpam-4353	22	1	the	the	DET
ejpam-4353	22	2	theory	theory	NOUN
ejpam-4353	22	3	has	have	AUX
ejpam-4353	22	4	been	be	AUX
ejpam-4353	22	5	further	far	ADV
ejpam-4353	22	6	improved	improve	VERB
ejpam-4353	22	7	by	by	ADP
ejpam-4353	22	8	other	other	ADJ
ejpam-4353	22	9	researchers	researcher	NOUN
ejpam-4353	22	10	like	like	ADP
ejpam-4353	22	11	maji	maji	PROPN
ejpam-4353	22	12	et	et	PROPN
ejpam-4353	22	13	al	al	PROPN
ejpam-4353	22	14	.	.	PUNCT
ejpam-4353	23	1	[	[	X
ejpam-4353	23	2	24	24	NUM
ejpam-4353	23	3	]	]	PUNCT
ejpam-4353	23	4	in	in	ADP
ejpam-4353	23	5	terms	term	NOUN
ejpam-4353	23	6	of	of	ADP
ejpam-4353	23	7	defining	define	VERB
ejpam-4353	23	8	the	the	DET
ejpam-4353	23	9	operation	operation	NOUN
ejpam-4353	23	10	family	family	NOUN
ejpam-4353	23	11	of	of	ADP
ejpam-4353	23	12	special	special	ADJ
ejpam-4353	23	13	information	information	NOUN
ejpam-4353	23	14	systems	system	NOUN
ejpam-4353	23	15	.	.	PUNCT
ejpam-4353	24	1	based	base	VERB
ejpam-4353	24	2	on	on	ADP
ejpam-4353	24	3	this	this	PRON
ejpam-4353	24	4	,	,	PUNCT
ejpam-4353	24	5	the	the	DET
ejpam-4353	24	6	operations	operation	NOUN
ejpam-4353	24	7	of	of	ADP
ejpam-4353	24	8	the	the	DET
ejpam-4353	24	9	soft	soft	ADJ
ejpam-4353	24	10	set	set	NOUN
ejpam-4353	24	11	were	be	AUX
ejpam-4353	24	12	redefined	redefine	VERB
ejpam-4353	24	13	by	by	ADP
ejpam-4353	24	14	çaǧman	çaǧman	PROPN
ejpam-4353	24	15	and	and	CCONJ
ejpam-4353	24	16	enginoglu	enginoglu	PROPN
ejpam-4353	25	1	[	[	X
ejpam-4353	25	2	14	14	NUM
ejpam-4353	25	3	]	]	PUNCT
ejpam-4353	25	4	who	who	PRON
ejpam-4353	25	5	further	far	ADV
ejpam-4353	25	6	constructed	construct	VERB
ejpam-4353	25	7	,	,	PUNCT
ejpam-4353	25	8	by	by	ADP
ejpam-4353	25	9	using	use	VERB
ejpam-4353	25	10	the	the	DET
ejpam-4353	25	11	soft	soft	ADJ
ejpam-4353	25	12	set	set	NOUN
ejpam-4353	25	13	theory	theory	NOUN
ejpam-4353	25	14	,	,	PUNCT
ejpam-4353	25	15	a	a	DET
ejpam-4353	25	16	uni	uni	ADJ
ejpam-4353	25	17	-	-	ADJ
ejpam-4353	25	18	int	int	ADJ
ejpam-4353	25	19	decision	decision	NOUN
ejpam-4353	25	20	making	make	VERB
ejpam-4353	25	21	method	method	NOUN
ejpam-4353	25	22	.	.	PUNCT
ejpam-4353	26	1	finally	finally	ADV
ejpam-4353	26	2	,	,	PUNCT
ejpam-4353	26	3	the	the	DET
ejpam-4353	26	4	soft	soft	ADJ
ejpam-4353	26	5	sets	set	NOUN
ejpam-4353	26	6	were	be	AUX
ejpam-4353	26	7	compared	compare	VERB
ejpam-4353	26	8	to	to	ADP
ejpam-4353	26	9	both	both	CCONJ
ejpam-4353	26	10	fuzzy	fuzzy	ADJ
ejpam-4353	26	11	and	and	CCONJ
ejpam-4353	26	12	rough	rough	ADJ
ejpam-4353	26	13	sets	set	NOUN
ejpam-4353	26	14	by	by	ADP
ejpam-4353	26	15	aktas	akta	NOUN
ejpam-4353	26	16	and	and	CCONJ
ejpam-4353	26	17	çaǧman	çaǧman	NOUN
ejpam-4353	27	1	[	[	X
ejpam-4353	27	2	1	1	NUM
ejpam-4353	27	3	]	]	PUNCT
ejpam-4353	27	4	.	.	PUNCT
ejpam-4353	28	1	later	later	ADV
ejpam-4353	28	2	on	on	ADV
ejpam-4353	28	3	,	,	PUNCT
ejpam-4353	28	4	some	some	DET
ejpam-4353	28	5	properties	property	NOUN
ejpam-4353	28	6	and	and	CCONJ
ejpam-4353	28	7	applications	application	NOUN
ejpam-4353	28	8	of	of	ADP
ejpam-4353	28	9	the	the	DET
ejpam-4353	28	10	soft	soft	ADJ
ejpam-4353	28	11	set	set	NOUN
ejpam-4353	28	12	theory	theory	NOUN
ejpam-4353	28	13	have	have	AUX
ejpam-4353	28	14	been	be	AUX
ejpam-4353	28	15	investigated	investigate	VERB
ejpam-4353	28	16	by	by	ADP
ejpam-4353	28	17	many	many	ADJ
ejpam-4353	28	18	researchers	researcher	NOUN
ejpam-4353	28	19	(	(	PUNCT
ejpam-4353	28	20	see	see	VERB
ejpam-4353	28	21	[	[	X
ejpam-4353	28	22	9	9	NUM
ejpam-4353	28	23	]	]	PUNCT
ejpam-4353	28	24	,	,	PUNCT
ejpam-4353	28	25	[	[	X
ejpam-4353	28	26	13	13	NUM
ejpam-4353	28	27	]	]	PUNCT
ejpam-4353	28	28	,	,	PUNCT
ejpam-4353	28	29	[	[	X
ejpam-4353	28	30	32	32	NUM
ejpam-4353	28	31	]	]	PUNCT
ejpam-4353	28	32	,	,	PUNCT
ejpam-4353	29	1	[	[	X
ejpam-4353	29	2	34	34	NUM
ejpam-4353	29	3	]	]	PUNCT
ejpam-4353	29	4	,	,	PUNCT
ejpam-4353	29	5	[	[	X
ejpam-4353	29	6	35	35	NUM
ejpam-4353	29	7	]	]	PUNCT
ejpam-4353	29	8	,	,	PUNCT
ejpam-4353	29	9	[	[	X
ejpam-4353	29	10	37	37	NUM
ejpam-4353	29	11	]	]	PUNCT
ejpam-4353	29	12	,	,	PUNCT
ejpam-4353	29	13	[	[	X
ejpam-4353	29	14	41	41	NUM
ejpam-4353	29	15	]	]	PUNCT
ejpam-4353	29	16	,	,	PUNCT
ejpam-4353	29	17	[	[	X
ejpam-4353	29	18	42	42	NUM
ejpam-4353	29	19	]	]	PUNCT
ejpam-4353	29	20	)	)	PUNCT
ejpam-4353	29	21	.	.	PUNCT
ejpam-4353	30	1	for	for	ADP
ejpam-4353	30	2	the	the	DET
ejpam-4353	30	3	time	time	NOUN
ejpam-4353	30	4	being	being	NOUN
ejpam-4353	30	5	,	,	PUNCT
ejpam-4353	30	6	two	two	NUM
ejpam-4353	30	7	definitions	definition	NOUN
ejpam-4353	30	8	of	of	ADP
ejpam-4353	30	9	the	the	DET
ejpam-4353	30	10	soft	soft	ADJ
ejpam-4353	30	11	topological	topological	ADJ
ejpam-4353	30	12	spaces	space	NOUN
ejpam-4353	30	13	exist	exist	VERB
ejpam-4353	30	14	.	.	PUNCT
ejpam-4353	31	1	the	the	DET
ejpam-4353	31	2	concept	concept	NOUN
ejpam-4353	31	3	of	of	ADP
ejpam-4353	31	4	soft	soft	ADJ
ejpam-4353	31	5	topological	topological	ADJ
ejpam-4353	31	6	spaces	space	NOUN
ejpam-4353	31	7	on	on	ADP
ejpam-4353	31	8	a	a	DET
ejpam-4353	31	9	universe	universe	ADJ
ejpam-4353	31	10	set	set	NOUN
ejpam-4353	31	11	was	be	AUX
ejpam-4353	31	12	first	first	ADV
ejpam-4353	31	13	defined	define	VERB
ejpam-4353	31	14	by	by	ADP
ejpam-4353	31	15	shabir	shabir	PROPN
ejpam-4353	31	16	and	and	CCONJ
ejpam-4353	31	17	naz	naz	PROPN
ejpam-4353	32	1	[	[	X
ejpam-4353	32	2	37	37	NUM
ejpam-4353	32	3	]	]	PUNCT
ejpam-4353	32	4	.	.	PUNCT
ejpam-4353	33	1	likewise	likewise	ADV
ejpam-4353	33	2	,	,	PUNCT
ejpam-4353	33	3	for	for	ADP
ejpam-4353	33	4	the	the	DET
ejpam-4353	33	5	demonstration	demonstration	NOUN
ejpam-4353	33	6	of	of	ADP
ejpam-4353	33	7	the	the	DET
ejpam-4353	33	8	notion	notion	NOUN
ejpam-4353	33	9	of	of	ADP
ejpam-4353	33	10	soft	soft	ADJ
ejpam-4353	33	11	topological	topological	ADJ
ejpam-4353	33	12	spaces	space	NOUN
ejpam-4353	33	13	,	,	PUNCT
ejpam-4353	33	14	the	the	DET
ejpam-4353	33	15	soft	soft	ADJ
ejpam-4353	33	16	sets	set	NOUN
ejpam-4353	33	17	were	be	AUX
ejpam-4353	33	18	also	also	ADV
ejpam-4353	33	19	,	,	PUNCT
ejpam-4353	33	20	çaǧman	çaǧman	PROPN
ejpam-4353	34	1	[	[	X
ejpam-4353	34	2	15	15	NUM
ejpam-4353	34	3	]	]	PUNCT
ejpam-4353	34	4	.	.	PUNCT
ejpam-4353	35	1	this	this	PRON
ejpam-4353	35	2	was	be	AUX
ejpam-4353	35	3	followed	follow	VERB
ejpam-4353	35	4	by	by	ADP
ejpam-4353	35	5	a	a	DET
ejpam-4353	35	6	excess	excess	NOUN
ejpam-4353	35	7	of	of	ADP
ejpam-4353	35	8	researches	research	NOUN
ejpam-4353	35	9	that	that	PRON
ejpam-4353	35	10	tackled	tackle	VERB
ejpam-4353	35	11	the	the	DET
ejpam-4353	35	12	soft	soft	ADJ
ejpam-4353	35	13	topological	topological	ADJ
ejpam-4353	35	14	spaces	space	NOUN
ejpam-4353	35	15	(	(	PUNCT
ejpam-4353	35	16	see	see	VERB
ejpam-4353	35	17	[	[	X
ejpam-4353	35	18	2	2	NUM
ejpam-4353	35	19	]	]	PUNCT
ejpam-4353	35	20	,	,	PUNCT
ejpam-4353	35	21	[	[	X
ejpam-4353	35	22	3	3	NUM
ejpam-4353	35	23	]	]	PUNCT
ejpam-4353	35	24	,	,	PUNCT
ejpam-4353	35	25	[	[	X
ejpam-4353	35	26	4	4	NUM
ejpam-4353	35	27	]	]	PUNCT
ejpam-4353	35	28	,	,	PUNCT
ejpam-4353	35	29	[	[	X
ejpam-4353	35	30	5	5	NUM
ejpam-4353	35	31	]	]	PUNCT
ejpam-4353	35	32	,	,	PUNCT
ejpam-4353	35	33	[	[	X
ejpam-4353	35	34	6	6	NUM
ejpam-4353	35	35	]	]	PUNCT
ejpam-4353	35	36	,	,	PUNCT
ejpam-4353	35	37	[	[	X
ejpam-4353	35	38	7	7	NUM
ejpam-4353	35	39	]	]	PUNCT
ejpam-4353	35	40	,	,	PUNCT
ejpam-4353	35	41	[	[	X
ejpam-4353	35	42	8	8	NUM
ejpam-4353	35	43	]	]	PUNCT
ejpam-4353	35	44	,	,	PUNCT
ejpam-4353	35	45	[	[	X
ejpam-4353	35	46	10	10	NUM
ejpam-4353	35	47	]	]	PUNCT
ejpam-4353	35	48	,	,	PUNCT
ejpam-4353	35	49	[	[	X
ejpam-4353	35	50	11	11	NUM
ejpam-4353	35	51	]	]	PUNCT
ejpam-4353	35	52	,	,	PUNCT
ejpam-4353	35	53	[	[	X
ejpam-4353	35	54	12	12	NUM
ejpam-4353	35	55	]	]	PUNCT
ejpam-4353	35	56	,	,	PUNCT
ejpam-4353	35	57	[	[	X
ejpam-4353	35	58	18	18	NUM
ejpam-4353	35	59	]	]	PUNCT
ejpam-4353	35	60	,	,	PUNCT
ejpam-4353	35	61	[	[	X
ejpam-4353	35	62	19	19	NUM
ejpam-4353	35	63	]	]	PUNCT
ejpam-4353	35	64	,	,	PUNCT
ejpam-4353	36	1	[	[	X
ejpam-4353	36	2	22	22	NUM
ejpam-4353	36	3	]	]	PUNCT
ejpam-4353	36	4	,	,	PUNCT
ejpam-4353	36	5	[	[	X
ejpam-4353	36	6	23	23	NUM
ejpam-4353	36	7	]	]	PUNCT
ejpam-4353	36	8	,	,	PUNCT
ejpam-4353	36	9	[	[	X
ejpam-4353	36	10	25	25	NUM
ejpam-4353	36	11	]	]	PUNCT
ejpam-4353	36	12	,	,	PUNCT
ejpam-4353	37	1	[	[	X
ejpam-4353	37	2	26	26	NUM
ejpam-4353	37	3	]	]	PUNCT
ejpam-4353	37	4	,	,	PUNCT
ejpam-4353	38	1	[	[	X
ejpam-4353	38	2	33	33	NUM
ejpam-4353	38	3	]	]	PUNCT
ejpam-4353	38	4	,	,	PUNCT
ejpam-4353	38	5	[	[	X
ejpam-4353	38	6	38	38	NUM
ejpam-4353	38	7	]	]	PUNCT
ejpam-4353	38	8	,	,	PUNCT
ejpam-4353	38	9	[	[	X
ejpam-4353	38	10	40	40	NUM
ejpam-4353	38	11	]	]	PUNCT
ejpam-4353	38	12	)	)	PUNCT
ejpam-4353	38	13	.	.	PUNCT
ejpam-4353	39	1	the	the	DET
ejpam-4353	39	2	notion	notion	NOUN
ejpam-4353	39	3	of	of	ADP
ejpam-4353	39	4	generalized	generalized	ADJ
ejpam-4353	39	5	neighborhood	neighborhood	NOUN
ejpam-4353	39	6	system	system	NOUN
ejpam-4353	39	7	and	and	CCONJ
ejpam-4353	39	8	generalized	generalized	ADJ
ejpam-4353	39	9	topological	topological	ADJ
ejpam-4353	39	10	spaces	space	NOUN
ejpam-4353	39	11	was	be	AUX
ejpam-4353	39	12	defined	define	VERB
ejpam-4353	39	13	by	by	ADP
ejpam-4353	39	14	császár	császár	PROPN
ejpam-4353	39	15	(	(	PUNCT
ejpam-4353	39	16	[	[	X
ejpam-4353	39	17	16],[17	16],[17	PROPN
ejpam-4353	39	18	]	]	X
ejpam-4353	39	19	)	)	PUNCT
ejpam-4353	39	20	who	who	PRON
ejpam-4353	39	21	further	far	ADV
ejpam-4353	39	22	studied	study	VERB
ejpam-4353	39	23	a	a	DET
ejpam-4353	39	24	set	set	NOUN
ejpam-4353	39	25	of	of	ADP
ejpam-4353	39	26	its	its	PRON
ejpam-4353	39	27	basic	basic	ADJ
ejpam-4353	39	28	properties	property	NOUN
ejpam-4353	39	29	,	,	PUNCT
ejpam-4353	39	30	namely	namely	ADV
ejpam-4353	39	31	continuous	continuous	ADJ
ejpam-4353	39	32	functions	function	NOUN
ejpam-4353	39	33	,	,	PUNCT
ejpam-4353	39	34	associated	associate	VERB
ejpam-4353	39	35	by	by	ADP
ejpam-4353	39	36	interior	interior	ADJ
ejpam-4353	39	37	and	and	CCONJ
ejpam-4353	39	38	closure	closure	NOUN
ejpam-4353	39	39	operations	operation	NOUN
ejpam-4353	39	40	on	on	ADP
ejpam-4353	39	41	generalized	generalized	ADJ
ejpam-4353	39	42	topological	topological	ADJ
ejpam-4353	39	43	spaces	space	NOUN
ejpam-4353	39	44	,	,	PUNCT
ejpam-4353	39	45	and	and	CCONJ
ejpam-4353	39	46	compared	compare	VERB
ejpam-4353	39	47	his	his	PRON
ejpam-4353	39	48	findings	finding	NOUN
ejpam-4353	39	49	to	to	ADP
ejpam-4353	39	50	those	those	PRON
ejpam-4353	39	51	of	of	ADP
ejpam-4353	39	52	the	the	DET
ejpam-4353	39	53	usual	usual	ADJ
ejpam-4353	39	54	topology	topology	NOUN
ejpam-4353	39	55	.	.	PUNCT
ejpam-4353	40	1	on	on	ADP
ejpam-4353	40	2	their	their	PRON
ejpam-4353	40	3	part	part	NOUN
ejpam-4353	40	4	,	,	PUNCT
ejpam-4353	40	5	thomas	thomas	PROPN
ejpam-4353	40	6	and	and	CCONJ
ejpam-4353	40	7	john	john	PROPN
ejpam-4353	41	1	[	[	X
ejpam-4353	41	2	39	39	NUM
ejpam-4353	41	3	]	]	PUNCT
ejpam-4353	41	4	constructed	construct	VERB
ejpam-4353	41	5	the	the	DET
ejpam-4353	41	6	notion	notion	NOUN
ejpam-4353	41	7	of	of	ADP
ejpam-4353	41	8	soft	soft	ADJ
ejpam-4353	41	9	generalized	generalized	ADJ
ejpam-4353	41	10	topological	topological	ADJ
ejpam-4353	41	11	spaces	space	NOUN
ejpam-4353	41	12	(	(	PUNCT
ejpam-4353	41	13	sgt	sgt	PROPN
ejpam-4353	41	14	ss	ss	PROPN
ejpam-4353	41	15	)	)	PUNCT
ejpam-4353	41	16	via	via	ADP
ejpam-4353	41	17	soft	soft	ADJ
ejpam-4353	41	18	generalized	generalize	VERB
ejpam-4353	41	19	open	open	ADJ
ejpam-4353	41	20	sets	set	NOUN
ejpam-4353	41	21	over	over	ADP
ejpam-4353	41	22	an	an	DET
ejpam-4353	41	23	initial	initial	ADJ
ejpam-4353	41	24	universe	universe	NOUN
ejpam-4353	41	25	with	with	ADP
ejpam-4353	41	26	a	a	DET
ejpam-4353	41	27	fixed	fix	VERB
ejpam-4353	41	28	set	set	NOUN
ejpam-4353	41	29	of	of	ADP
ejpam-4353	41	30	parameters	parameter	NOUN
ejpam-4353	41	31	,	,	PUNCT
ejpam-4353	41	32	and	and	CCONJ
ejpam-4353	41	33	studied	study	VERB
ejpam-4353	41	34	some	some	PRON
ejpam-4353	41	35	of	of	ADP
ejpam-4353	41	36	their	their	PRON
ejpam-4353	41	37	properties	property	NOUN
ejpam-4353	41	38	such	such	ADJ
ejpam-4353	41	39	as	as	ADP
ejpam-4353	41	40	compactness	compactness	NOUN
ejpam-4353	41	41	and	and	CCONJ
ejpam-4353	41	42	separation	separation	NOUN
ejpam-4353	41	43	axioms	axiom	NOUN
ejpam-4353	41	44	.	.	PUNCT
ejpam-4353	42	1	the	the	DET
ejpam-4353	42	2	generalized	generalized	ADJ
ejpam-4353	42	3	topology	topology	NOUN
ejpam-4353	42	4	differs	differ	VERB
ejpam-4353	42	5	from	from	ADP
ejpam-4353	42	6	that	that	PRON
ejpam-4353	42	7	based	base	VERB
ejpam-4353	42	8	on	on	ADP
ejpam-4353	42	9	its	its	PRON
ejpam-4353	42	10	axioms	axiom	NOUN
ejpam-4353	42	11	.	.	PUNCT
ejpam-4353	43	1	according	accord	VERB
ejpam-4353	43	2	to	to	ADP
ejpam-4353	43	3	császár	császár	PROPN
ejpam-4353	43	4	,	,	PUNCT
ejpam-4353	43	5	a	a	DET
ejpam-4353	43	6	family	family	NOUN
ejpam-4353	43	7	of	of	ADP
ejpam-4353	43	8	subsets	subset	NOUN
ejpam-4353	43	9	of	of	ADP
ejpam-4353	43	10	ω	ω	PROPN
ejpam-4353	43	11	stands	stand	VERB
ejpam-4353	43	12	for	for	ADP
ejpam-4353	43	13	a	a	DET
ejpam-4353	43	14	generalized	generalized	ADJ
ejpam-4353	43	15	topology	topology	NOUN
ejpam-4353	43	16	on	on	ADP
ejpam-4353	43	17	ω	ω	NUM
ejpam-4353	43	18	when	when	SCONJ
ejpam-4353	43	19	the	the	DET
ejpam-4353	43	20	empty	empty	ADJ
ejpam-4353	43	21	set	set	NOUN
ejpam-4353	43	22	and	and	CCONJ
ejpam-4353	43	23	arbitrary	arbitrary	ADJ
ejpam-4353	43	24	union	union	NOUN
ejpam-4353	43	25	of	of	ADP
ejpam-4353	43	26	its	its	PRON
ejpam-4353	43	27	members	member	NOUN
ejpam-4353	43	28	are	be	AUX
ejpam-4353	43	29	included	include	VERB
ejpam-4353	43	30	.	.	PUNCT
ejpam-4353	44	1	it	it	PRON
ejpam-4353	44	2	is	be	AUX
ejpam-4353	44	3	worth	worth	ADJ
ejpam-4353	44	4	noting	note	VERB
ejpam-4353	44	5	that	that	SCONJ
ejpam-4353	44	6	soft	soft	ADJ
ejpam-4353	44	7	sets	set	NOUN
ejpam-4353	44	8	theory	theory	NOUN
ejpam-4353	44	9	,	,	PUNCT
ejpam-4353	44	10	not	not	PART
ejpam-4353	44	11	sets	set	VERB
ejpam-4353	44	12	,	,	PUNCT
ejpam-4353	44	13	forms	form	VERB
ejpam-4353	44	14	the	the	DET
ejpam-4353	44	15	basis	basis	NOUN
ejpam-4353	44	16	for	for	ADP
ejpam-4353	44	17	the	the	DET
ejpam-4353	44	18	soft	soft	ADJ
ejpam-4353	44	19	generalized	generalized	ADJ
ejpam-4353	44	20	topological	topological	ADJ
ejpam-4353	44	21	spaces	space	NOUN
ejpam-4353	44	22	.	.	PUNCT
ejpam-4353	45	1	in	in	ADP
ejpam-4353	45	2	2013	2013	NUM
ejpam-4353	45	3	,	,	PUNCT
ejpam-4353	45	4	the	the	DET
ejpam-4353	45	5	bipolar	bipolar	ADJ
ejpam-4353	45	6	soft	soft	ADJ
ejpam-4353	45	7	set	set	NOUN
ejpam-4353	45	8	structure	structure	NOUN
ejpam-4353	45	9	which	which	PRON
ejpam-4353	45	10	may	may	AUX
ejpam-4353	45	11	form	form	VERB
ejpam-4353	45	12	the	the	DET
ejpam-4353	45	13	source	source	NOUN
ejpam-4353	45	14	of	of	ADP
ejpam-4353	45	15	more	more	ADV
ejpam-4353	45	16	general	general	ADJ
ejpam-4353	45	17	and	and	CCONJ
ejpam-4353	45	18	clear	clear	ADJ
ejpam-4353	45	19	results	result	NOUN
ejpam-4353	45	20	than	than	SCONJ
ejpam-4353	45	21	the	the	DET
ejpam-4353	45	22	soft	soft	ADJ
ejpam-4353	45	23	set	set	NOUN
ejpam-4353	45	24	structure	structure	NOUN
ejpam-4353	45	25	was	be	AUX
ejpam-4353	45	26	investigated	investigate	VERB
ejpam-4353	45	27	by	by	ADP
ejpam-4353	45	28	shabir	shabir	PROPN
ejpam-4353	45	29	and	and	CCONJ
ejpam-4353	45	30	naz	naz	PROPN
ejpam-4353	46	1	[	[	X
ejpam-4353	46	2	38	38	NUM
ejpam-4353	46	3	]	]	PUNCT
ejpam-4353	46	4	.	.	PUNCT
ejpam-4353	47	1	varied	varied	ADJ
ejpam-4353	47	2	definitions	definition	NOUN
ejpam-4353	47	3	of	of	ADP
ejpam-4353	47	4	the	the	DET
ejpam-4353	47	5	bipolar	bipolar	ADJ
ejpam-4353	47	6	soft	soft	ADJ
ejpam-4353	47	7	set	set	NOUN
ejpam-4353	47	8	and	and	CCONJ
ejpam-4353	47	9	the	the	DET
ejpam-4353	47	10	basic	basic	ADJ
ejpam-4353	47	11	operations	operation	NOUN
ejpam-4353	47	12	such	such	ADJ
ejpam-4353	47	13	as	as	ADP
ejpam-4353	47	14	intersection	intersection	NOUN
ejpam-4353	47	15	,	,	PUNCT
ejpam-4353	47	16	union	union	NOUN
ejpam-4353	47	17	and	and	CCONJ
ejpam-4353	47	18	complementation	complementation	NOUN
ejpam-4353	47	19	were	be	AUX
ejpam-4353	47	20	put	put	VERB
ejpam-4353	47	21	forward	forward	ADV
ejpam-4353	47	22	by	by	ADP
ejpam-4353	47	23	shabir	shabir	PROPN
ejpam-4353	47	24	and	and	CCONJ
ejpam-4353	47	25	naz	naz	PROPN
ejpam-4353	47	26	[	[	X
ejpam-4353	47	27	38	38	NUM
ejpam-4353	47	28	]	]	PUNCT
ejpam-4353	47	29	and	and	CCONJ
ejpam-4353	47	30	karaaslan	karaaslan	PROPN
ejpam-4353	47	31	and	and	CCONJ
ejpam-4353	47	32	karatas	karata	NOUN
ejpam-4353	48	1	[	[	X
ejpam-4353	48	2	22	22	NUM
ejpam-4353	48	3	]	]	PUNCT
ejpam-4353	48	4	.	.	PUNCT
ejpam-4353	49	1	based	base	VERB
ejpam-4353	49	2	on	on	ADP
ejpam-4353	49	3	dubois	dubois	PROPN
ejpam-4353	49	4	and	and	CCONJ
ejpam-4353	49	5	prada	prada	NOUN
ejpam-4353	49	6	[	[	X
ejpam-4353	49	7	18	18	NUM
ejpam-4353	49	8	]	]	PUNCT
ejpam-4353	49	9	,	,	PUNCT
ejpam-4353	49	10	decision	decision	NOUN
ejpam-4353	49	11	making	making	NOUN
ejpam-4353	49	12	is	be	AUX
ejpam-4353	49	13	constructed	construct	VERB
ejpam-4353	49	14	on	on	ADP
ejpam-4353	49	15	two	two	NUM
ejpam-4353	49	16	sides	side	NOUN
ejpam-4353	49	17	,	,	PUNCT
ejpam-4353	49	18	namely	namely	ADV
ejpam-4353	49	19	negative	negative	ADJ
ejpam-4353	49	20	and	and	CCONJ
ejpam-4353	49	21	positive	positive	ADJ
ejpam-4353	49	22	.	.	PUNCT
ejpam-4353	50	1	a	a	DET
ejpam-4353	50	2	number	number	NOUN
ejpam-4353	50	3	of	of	ADP
ejpam-4353	50	4	definitions	definition	NOUN
ejpam-4353	50	5	,	,	PUNCT
ejpam-4353	50	6	operations	operation	NOUN
ejpam-4353	50	7	,	,	PUNCT
ejpam-4353	50	8	and	and	CCONJ
ejpam-4353	50	9	applications	application	NOUN
ejpam-4353	50	10	on	on	ADP
ejpam-4353	50	11	bipolar	bipolar	ADJ
ejpam-4353	50	12	soft	soft	ADJ
ejpam-4353	50	13	sets	set	NOUN
ejpam-4353	50	14	have	have	AUX
ejpam-4353	50	15	been	be	AUX
ejpam-4353	50	16	investigated	investigate	VERB
ejpam-4353	50	17	in	in	ADP
ejpam-4353	50	18	(	(	PUNCT
ejpam-4353	50	19	[	[	X
ejpam-4353	50	20	4	4	NUM
ejpam-4353	50	21	]	]	PUNCT
ejpam-4353	50	22	,	,	PUNCT
ejpam-4353	50	23	[	[	X
ejpam-4353	50	24	22	22	NUM
ejpam-4353	50	25	]	]	PUNCT
ejpam-4353	50	26	,	,	PUNCT
ejpam-4353	50	27	[	[	X
ejpam-4353	50	28	23	23	NUM
ejpam-4353	50	29	]	]	PUNCT
ejpam-4353	50	30	,	,	PUNCT
ejpam-4353	50	31	[	[	X
ejpam-4353	50	32	40	40	NUM
ejpam-4353	50	33	]	]	PUNCT
ejpam-4353	50	34	)	)	PUNCT
ejpam-4353	50	35	.	.	PUNCT
ejpam-4353	51	1	added	add	VERB
ejpam-4353	51	2	to	to	ADP
ejpam-4353	51	3	that	that	PRON
ejpam-4353	51	4	,	,	PUNCT
ejpam-4353	52	1	öztürk	öztürk	NOUN
ejpam-4353	53	1	[	[	X
ejpam-4353	53	2	31	31	NUM
ejpam-4353	53	3	]	]	PUNCT
ejpam-4353	53	4	studied	study	VERB
ejpam-4353	53	5	the	the	DET
ejpam-4353	53	6	concepts	concept	NOUN
ejpam-4353	53	7	of	of	ADP
ejpam-4353	53	8	closure	closure	NOUN
ejpam-4353	53	9	and	and	CCONJ
ejpam-4353	53	10	interior	interior	ADJ
ejpam-4353	53	11	operations	operation	NOUN
ejpam-4353	53	12	,	,	PUNCT
ejpam-4353	53	13	basis	basis	NOUN
ejpam-4353	53	14	and	and	CCONJ
ejpam-4353	53	15	subspace	subspace	NOUN
ejpam-4353	53	16	in	in	ADP
ejpam-4353	53	17	bipolar	bipolar	ADJ
ejpam-4353	53	18	soft	soft	ADJ
ejpam-4353	53	19	topological	topological	ADJ
ejpam-4353	53	20	spaces	space	NOUN
ejpam-4353	53	21	.	.	PUNCT
ejpam-4353	54	1	there	there	PRON
ejpam-4353	54	2	has	have	AUX
ejpam-4353	54	3	been	be	AUX
ejpam-4353	54	4	an	an	DET
ejpam-4353	54	5	expansion	expansion	NOUN
ejpam-4353	54	6	of	of	ADP
ejpam-4353	54	7	the	the	DET
ejpam-4353	54	8	definition	definition	NOUN
ejpam-4353	54	9	of	of	ADP
ejpam-4353	54	10	bipolar	bipolar	ADJ
ejpam-4353	54	11	soft	soft	ADJ
ejpam-4353	54	12	topological	topological	ADJ
ejpam-4353	54	13	spaces	space	NOUN
ejpam-4353	54	14	defined	define	VERB
ejpam-4353	54	15	in	in	ADP
ejpam-4353	54	16	[	[	X
ejpam-4353	54	17	36	36	NUM
ejpam-4353	54	18	]	]	PUNCT
ejpam-4353	54	19	by	by	ADP
ejpam-4353	54	20	fadel	fadel	PROPN
ejpam-4353	54	21	and	and	CCONJ
ejpam-4353	54	22	dzul	dzul	PROPN
ejpam-4353	54	23	-	-	PUNCT
ejpam-4353	54	24	kifli	kifli	PROPN
ejpam-4353	55	1	[	[	X
ejpam-4353	55	2	20	20	NUM
ejpam-4353	55	3	]	]	PUNCT
ejpam-4353	55	4	who	who	PRON
ejpam-4353	55	5	have	have	AUX
ejpam-4353	55	6	attended	attend	VERB
ejpam-4353	55	7	to	to	ADP
ejpam-4353	55	8	the	the	DET
ejpam-4353	55	9	key	key	ADJ
ejpam-4353	55	10	concepts	concept	NOUN
ejpam-4353	55	11	and	and	CCONJ
ejpam-4353	55	12	properties	property	NOUN
ejpam-4353	55	13	and	and	CCONJ
ejpam-4353	55	14	put	put	VERB
ejpam-4353	55	15	forward	forward	ADV
ejpam-4353	55	16	some	some	DET
ejpam-4353	55	17	illustrative	illustrative	ADJ
ejpam-4353	55	18	examples	example	NOUN
ejpam-4353	55	19	.	.	PUNCT
ejpam-4353	56	1	additionally	additionally	ADV
ejpam-4353	56	2	,	,	PUNCT
ejpam-4353	56	3	there	there	PRON
ejpam-4353	56	4	has	have	AUX
ejpam-4353	56	5	been	be	AUX
ejpam-4353	56	6	further	far	ADV
ejpam-4353	56	7	works	work	NOUN
ejpam-4353	56	8	on	on	ADP
ejpam-4353	56	9	the	the	DET
ejpam-4353	56	10	topological	topological	ADJ
ejpam-4353	56	11	structures	structure	NOUN
ejpam-4353	56	12	on	on	ADP
ejpam-4353	56	13	bipolar	bipolar	ADJ
ejpam-4353	56	14	soft	soft	ADJ
ejpam-4353	56	15	sets	set	NOUN
ejpam-4353	56	16	,	,	PUNCT
ejpam-4353	56	17	(	(	PUNCT
ejpam-4353	56	18	see	see	VERB
ejpam-4353	56	19	[	[	X
ejpam-4353	56	20	21],[22	21],[22	NOUN
ejpam-4353	56	21	]	]	X
ejpam-4353	56	22	)	)	PUNCT
ejpam-4353	56	23	.	.	PUNCT
ejpam-4353	57	1	for	for	ADP
ejpam-4353	57	2	instance	instance	NOUN
ejpam-4353	57	3	,	,	PUNCT
ejpam-4353	57	4	musa	musa	PROPN
ejpam-4353	57	5	and	and	CCONJ
ejpam-4353	57	6	asaad	asaad	NOUN
ejpam-4353	57	7	(	(	PUNCT
ejpam-4353	57	8	[	[	X
ejpam-4353	57	9	28	28	NUM
ejpam-4353	57	10	]	]	PUNCT
ejpam-4353	57	11	,	,	PUNCT
ejpam-4353	57	12	[	[	X
ejpam-4353	57	13	29	29	NUM
ejpam-4353	57	14	]	]	PUNCT
ejpam-4353	57	15	,	,	PUNCT
ejpam-4353	57	16	[	[	X
ejpam-4353	57	17	30	30	NUM
ejpam-4353	57	18	]	]	PUNCT
ejpam-4353	57	19	)	)	PUNCT
ejpam-4353	57	20	introduced	introduce	VERB
ejpam-4353	57	21	a	a	DET
ejpam-4353	57	22	new	new	ADJ
ejpam-4353	57	23	idea	idea	NOUN
ejpam-4353	57	24	concerning	concern	VERB
ejpam-4353	57	25	bipolar	bipolar	ADJ
ejpam-4353	57	26	soft	soft	ADJ
ejpam-4353	57	27	sets	set	NOUN
ejpam-4353	57	28	by	by	ADP
ejpam-4353	57	29	extending	extend	VERB
ejpam-4353	57	30	the	the	DET
ejpam-4353	57	31	hypersoft	hypersoft	NOUN
ejpam-4353	57	32	sets	set	NOUN
ejpam-4353	57	33	named	name	VERB
ejpam-4353	57	34	bipolar	bipolar	ADJ
ejpam-4353	57	35	hypersoft	hypersoft	NOUN
ejpam-4353	57	36	sets	set	NOUN
ejpam-4353	57	37	.	.	PUNCT
ejpam-4353	58	1	they	they	PRON
ejpam-4353	58	2	further	far	ADV
ejpam-4353	58	3	investigated	investigate	VERB
ejpam-4353	58	4	bipolar	bipolar	ADJ
ejpam-4353	58	5	hypersoft	hypersoft	PROPN
ejpam-4353	58	6	topological	topological	ADJ
ejpam-4353	58	7	spaces	space	NOUN
ejpam-4353	58	8	and	and	CCONJ
ejpam-4353	58	9	some	some	PRON
ejpam-4353	58	10	of	of	ADP
ejpam-4353	58	11	their	their	PRON
ejpam-4353	58	12	operations	operation	NOUN
ejpam-4353	58	13	and	and	CCONJ
ejpam-4353	58	14	properties	property	NOUN
ejpam-4353	58	15	.	.	PUNCT
ejpam-4353	59	1	the	the	DET
ejpam-4353	59	2	coming	come	VERB
ejpam-4353	59	3	parts	part	NOUN
ejpam-4353	59	4	are	be	AUX
ejpam-4353	59	5	organized	organize	VERB
ejpam-4353	59	6	as	as	SCONJ
ejpam-4353	59	7	follows	follow	VERB
ejpam-4353	59	8	:	:	PUNCT
ejpam-4353	59	9	in	in	ADP
ejpam-4353	59	10	section	section	NOUN
ejpam-4353	59	11	2	2	NUM
ejpam-4353	59	12	,	,	PUNCT
ejpam-4353	59	13	some	some	DET
ejpam-4353	59	14	related	related	ADJ
ejpam-4353	59	15	preliminaries	preliminary	NOUN
ejpam-4353	59	16	h.	h.	PROPN
ejpam-4353	59	17	y.	y.	PROPN
ejpam-4353	59	18	saleh	saleh	PROPN
ejpam-4353	59	19	,	,	PUNCT
ejpam-4353	59	20	b.	b.	PROPN
ejpam-4353	59	21	a.	a.	PROPN
ejpam-4353	59	22	asaad	asaad	PROPN
ejpam-4353	59	23	,	,	PUNCT
ejpam-4353	59	24	r.	r.	PROPN
ejpam-4353	59	25	a.	a.	PROPN
ejpam-4353	59	26	mohammed	mohammed	PROPN
ejpam-4353	59	27	/	/	SYM
ejpam-4353	59	28	eur	eur	PROPN
ejpam-4353	59	29	.	.	PUNCT
ejpam-4353	60	1	j.	j.	PROPN
ejpam-4353	60	2	pure	pure	PROPN
ejpam-4353	60	3	appl	appl	PROPN
ejpam-4353	60	4	.	.	PROPN
ejpam-4353	60	5	math	math	PROPN
ejpam-4353	60	6	,	,	PUNCT
ejpam-4353	60	7	15	15	NUM
ejpam-4353	60	8	(	(	PUNCT
ejpam-4353	60	9	2	2	NUM
ejpam-4353	60	10	)	)	PUNCT
ejpam-4353	60	11	(	(	PUNCT
ejpam-4353	60	12	2022	2022	NUM
ejpam-4353	60	13	)	)	PUNCT
ejpam-4353	60	14	,	,	PUNCT
ejpam-4353	60	15	646	646	NUM
ejpam-4353	60	16	-	-	SYM
ejpam-4353	60	17	671	671	NUM
ejpam-4353	60	18	648	648	NUM
ejpam-4353	60	19	are	be	AUX
ejpam-4353	60	20	briefly	briefly	ADV
ejpam-4353	60	21	recalled	recall	VERB
ejpam-4353	60	22	.	.	PUNCT
ejpam-4353	61	1	in	in	ADP
ejpam-4353	61	2	section	section	NOUN
ejpam-4353	61	3	3	3	NUM
ejpam-4353	61	4	,	,	PUNCT
ejpam-4353	61	5	the	the	DET
ejpam-4353	61	6	new	new	ADJ
ejpam-4353	61	7	concept	concept	NOUN
ejpam-4353	61	8	of	of	ADP
ejpam-4353	61	9	bipolar	bipolar	ADJ
ejpam-4353	61	10	soft	soft	ADJ
ejpam-4353	61	11	topological	topological	ADJ
ejpam-4353	61	12	spaces	space	NOUN
ejpam-4353	61	13	called	call	VERB
ejpam-4353	61	14	bipolar	bipolar	ADJ
ejpam-4353	61	15	soft	soft	ADJ
ejpam-4353	61	16	generalized	generalized	ADJ
ejpam-4353	61	17	topological	topological	ADJ
ejpam-4353	61	18	spaces	space	NOUN
ejpam-4353	61	19	have	have	AUX
ejpam-4353	61	20	been	be	AUX
ejpam-4353	61	21	firstly	firstly	ADV
ejpam-4353	61	22	defined	define	VERB
ejpam-4353	61	23	.	.	PUNCT
ejpam-4353	62	1	this	this	PRON
ejpam-4353	62	2	has	have	AUX
ejpam-4353	62	3	been	be	AUX
ejpam-4353	62	4	followed	follow	VERB
ejpam-4353	62	5	by	by	ADP
ejpam-4353	62	6	the	the	DET
ejpam-4353	62	7	presentation	presentation	NOUN
ejpam-4353	62	8	of	of	ADP
ejpam-4353	62	9	the	the	DET
ejpam-4353	62	10	basic	basic	ADJ
ejpam-4353	62	11	properties	property	NOUN
ejpam-4353	62	12	of	of	ADP
ejpam-4353	62	13	bipolar	bipolar	ADJ
ejpam-4353	62	14	soft	soft	ADJ
ejpam-4353	62	15	generalized	generalized	ADJ
ejpam-4353	62	16	topological	topological	ADJ
ejpam-4353	62	17	spaces	space	NOUN
ejpam-4353	62	18	on	on	ADP
ejpam-4353	62	19	an	an	DET
ejpam-4353	62	20	initial	initial	ADJ
ejpam-4353	62	21	bipolar	bipolar	ADJ
ejpam-4353	62	22	soft	soft	ADJ
ejpam-4353	62	23	set	set	NOUN
ejpam-4353	62	24	.	.	PUNCT
ejpam-4353	63	1	in	in	ADP
ejpam-4353	63	2	addition	addition	NOUN
ejpam-4353	63	3	,	,	PUNCT
ejpam-4353	63	4	the	the	DET
ejpam-4353	63	5	definitions	definition	NOUN
ejpam-4353	63	6	of	of	ADP
ejpam-4353	63	7	the	the	DET
ejpam-4353	63	8	notions	notion	NOUN
ejpam-4353	63	9	of	of	ADP
ejpam-4353	63	10	bipolar	bipolar	ADJ
ejpam-4353	63	11	soft˜̃g	soft˜̃g	NOUN
ejpam-4353	63	12	-	-	PUNCT
ejpam-4353	63	13	open	open	ADJ
ejpam-4353	63	14	sets	set	NOUN
ejpam-4353	63	15	,	,	PUNCT
ejpam-4353	63	16	bipolar	bipolar	ADJ
ejpam-4353	63	17	soft	soft	ADJ
ejpam-4353	63	18	˜̃g	˜̃g	NOUN
ejpam-4353	63	19	-	-	PUNCT
ejpam-4353	63	20	close	close	NOUN
ejpam-4353	63	21	sets	set	NOUN
ejpam-4353	63	22	,	,	PUNCT
ejpam-4353	63	23	bipolar	bipolar	ADJ
ejpam-4353	63	24	soft	soft	ADJ
ejpam-4353	63	25	˜̃g	˜̃g	NOUN
ejpam-4353	63	26	-	-	PUNCT
ejpam-4353	63	27	closure	closure	NOUN
ejpam-4353	63	28	,	,	PUNCT
ejpam-4353	63	29	bipolar	bipolar	ADJ
ejpam-4353	63	30	soft	soft	ADJ
ejpam-4353	63	31	˜̃g	˜̃g	NOUN
ejpam-4353	63	32	-	-	PUNCT
ejpam-4353	63	33	interior	interior	ADJ
ejpam-4353	63	34	,	,	PUNCT
ejpam-4353	63	35	bipolar	bipolar	ADJ
ejpam-4353	63	36	soft	soft	ADJ
ejpam-4353	63	37	˜̃g	˜̃g	NOUN
ejpam-4353	63	38	-	-	PUNCT
ejpam-4353	63	39	exterior	exterior	ADJ
ejpam-4353	63	40	and	and	CCONJ
ejpam-4353	63	41	bipolar	bipolar	ADJ
ejpam-4353	63	42	soft	soft	ADJ
ejpam-4353	63	43	˜̃g	˜̃g	NOUN
ejpam-4353	63	44	-	-	PUNCT
ejpam-4353	63	45	boundary	boundary	NOUN
ejpam-4353	63	46	have	have	AUX
ejpam-4353	63	47	been	be	AUX
ejpam-4353	63	48	provided	provide	VERB
ejpam-4353	63	49	along	along	ADP
ejpam-4353	63	50	the	the	DET
ejpam-4353	63	51	study	study	NOUN
ejpam-4353	63	52	of	of	ADP
ejpam-4353	63	53	their	their	PRON
ejpam-4353	63	54	properties	property	NOUN
ejpam-4353	63	55	and	and	CCONJ
ejpam-4353	63	56	the	the	DET
ejpam-4353	63	57	investigation	investigation	NOUN
ejpam-4353	63	58	of	of	ADP
ejpam-4353	63	59	the	the	DET
ejpam-4353	63	60	relation	relation	NOUN
ejpam-4353	63	61	between	between	ADP
ejpam-4353	63	62	such	such	ADJ
ejpam-4353	63	63	concepts	concept	NOUN
ejpam-4353	63	64	.	.	PUNCT
ejpam-4353	64	1	in	in	ADP
ejpam-4353	64	2	section	section	NOUN
ejpam-4353	64	3	4	4	NUM
ejpam-4353	64	4	,	,	PUNCT
ejpam-4353	64	5	this	this	PRON
ejpam-4353	64	6	has	have	AUX
ejpam-4353	64	7	been	be	AUX
ejpam-4353	64	8	followed	follow	VERB
ejpam-4353	64	9	by	by	ADP
ejpam-4353	64	10	presenting	present	VERB
ejpam-4353	64	11	the	the	DET
ejpam-4353	64	12	application	application	NOUN
ejpam-4353	64	13	of	of	ADP
ejpam-4353	64	14	bipolar	bipolar	ADJ
ejpam-4353	64	15	soft	soft	ADJ
ejpam-4353	64	16	generalized	generalized	ADJ
ejpam-4353	64	17	topological	topological	ADJ
ejpam-4353	64	18	spaces	space	NOUN
ejpam-4353	64	19	in	in	ADP
ejpam-4353	64	20	a	a	DET
ejpam-4353	64	21	decision	decision	NOUN
ejpam-4353	64	22	making	make	VERB
ejpam-4353	64	23	problem	problem	NOUN
ejpam-4353	64	24	.	.	PUNCT
ejpam-4353	65	1	finally	finally	ADV
ejpam-4353	65	2	,	,	PUNCT
ejpam-4353	65	3	a	a	DET
ejpam-4353	65	4	binary	binary	ADJ
ejpam-4353	65	5	information	information	NOUN
ejpam-4353	65	6	table	table	NOUN
ejpam-4353	65	7	has	have	AUX
ejpam-4353	65	8	been	be	AUX
ejpam-4353	65	9	utilized	utilize	VERB
ejpam-4353	65	10	in	in	ADP
ejpam-4353	65	11	our	our	PRON
ejpam-4353	65	12	attempt	attempt	NOUN
ejpam-4353	65	13	to	to	PART
ejpam-4353	65	14	analogously	analogously	ADV
ejpam-4353	65	15	represent	represent	VERB
ejpam-4353	65	16	the	the	DET
ejpam-4353	65	17	bipolar	bipolar	ADJ
ejpam-4353	65	18	soft	soft	ADJ
ejpam-4353	65	19	generalized	generalized	ADJ
ejpam-4353	65	20	topological	topological	ADJ
ejpam-4353	65	21	spaces	space	NOUN
ejpam-4353	65	22	.	.	PUNCT
ejpam-4353	66	1	section	section	NOUN
ejpam-4353	66	2	5	5	NUM
ejpam-4353	66	3	concludes	conclude	VERB
ejpam-4353	66	4	this	this	DET
ejpam-4353	66	5	paper	paper	NOUN
ejpam-4353	66	6	.	.	PUNCT
ejpam-4353	67	1	2	2	X
ejpam-4353	67	2	.	.	X
ejpam-4353	67	3	preliminaries	preliminary	NOUN
ejpam-4353	67	4	in	in	ADP
ejpam-4353	67	5	this	this	DET
ejpam-4353	67	6	section	section	NOUN
ejpam-4353	67	7	,	,	PUNCT
ejpam-4353	67	8	we	we	PRON
ejpam-4353	67	9	introduce	introduce	VERB
ejpam-4353	67	10	some	some	DET
ejpam-4353	67	11	basic	basic	ADJ
ejpam-4353	67	12	concepts	concept	NOUN
ejpam-4353	67	13	about	about	ADP
ejpam-4353	67	14	bipolar	bipolar	ADJ
ejpam-4353	67	15	soft	soft	ADJ
ejpam-4353	67	16	sets	set	NOUN
ejpam-4353	67	17	.	.	PUNCT
ejpam-4353	68	1	in	in	ADP
ejpam-4353	68	2	this	this	DET
ejpam-4353	68	3	paper	paper	NOUN
ejpam-4353	68	4	,	,	PUNCT
ejpam-4353	68	5	let	let	VERB
ejpam-4353	68	6	ω	ω	PRON
ejpam-4353	68	7	be	be	AUX
ejpam-4353	68	8	an	an	DET
ejpam-4353	68	9	initial	initial	ADJ
ejpam-4353	68	10	universe	universe	NOUN
ejpam-4353	68	11	,	,	PUNCT
ejpam-4353	68	12	υ(ω	υ(ω	PROPN
ejpam-4353	68	13	)	)	PUNCT
ejpam-4353	68	14	be	be	AUX
ejpam-4353	68	15	denoted	denote	VERB
ejpam-4353	68	16	the	the	DET
ejpam-4353	68	17	collection	collection	NOUN
ejpam-4353	68	18	of	of	ADP
ejpam-4353	68	19	all	all	DET
ejpam-4353	68	20	subsets	subset	NOUN
ejpam-4353	68	21	of	of	ADP
ejpam-4353	68	22	ω	ω	PROPN
ejpam-4353	68	23	and	and	CCONJ
ejpam-4353	68	24	ϖ	ϖ	PRON
ejpam-4353	68	25	be	be	AUX
ejpam-4353	68	26	a	a	DET
ejpam-4353	68	27	set	set	NOUN
ejpam-4353	68	28	of	of	ADP
ejpam-4353	68	29	parameters	parameter	NOUN
ejpam-4353	68	30	.	.	PUNCT
ejpam-4353	69	1	let	let	VERB
ejpam-4353	69	2	ς	ς	PROPN
ejpam-4353	69	3	,	,	PUNCT
ejpam-4353	69	4	σ	σ	PROPN
ejpam-4353	69	5	⊆	⊆	NUM
ejpam-4353	69	6	ϖ	ϖ	PROPN
ejpam-4353	69	7	and	and	CCONJ
ejpam-4353	69	8	bss(ω	bss(ω	PROPN
ejpam-4353	69	9	)	)	PUNCT
ejpam-4353	69	10	be	be	VERB
ejpam-4353	69	11	the	the	DET
ejpam-4353	69	12	set	set	NOUN
ejpam-4353	69	13	of	of	ADP
ejpam-4353	69	14	all	all	DET
ejpam-4353	69	15	bipolar	bipolar	ADJ
ejpam-4353	69	16	soft	soft	ADJ
ejpam-4353	69	17	sets	set	NOUN
ejpam-4353	69	18	over	over	ADP
ejpam-4353	69	19	ω	ω	PROPN
ejpam-4353	69	20	with	with	ADP
ejpam-4353	69	21	parameters	parameter	NOUN
ejpam-4353	69	22	ϖ.	ϖ.	VERB
ejpam-4353	69	23	now	now	ADV
ejpam-4353	69	24	,	,	PUNCT
ejpam-4353	69	25	we	we	PRON
ejpam-4353	69	26	mention	mention	VERB
ejpam-4353	69	27	the	the	DET
ejpam-4353	69	28	main	main	ADJ
ejpam-4353	69	29	definitions	definition	NOUN
ejpam-4353	69	30	of	of	ADP
ejpam-4353	69	31	bipolar	bipolar	ADJ
ejpam-4353	69	32	soft	soft	ADJ
ejpam-4353	69	33	sets	set	NOUN
ejpam-4353	69	34	and	and	CCONJ
ejpam-4353	69	35	its	its	PRON
ejpam-4353	69	36	related	related	ADJ
ejpam-4353	69	37	topics	topic	NOUN
ejpam-4353	69	38	that	that	PRON
ejpam-4353	69	39	we	we	PRON
ejpam-4353	69	40	need	need	VERB
ejpam-4353	69	41	through	through	ADP
ejpam-4353	69	42	the	the	DET
ejpam-4353	69	43	paper	paper	NOUN
ejpam-4353	69	44	.	.	PUNCT
ejpam-4353	70	1	definition	definition	NOUN
ejpam-4353	70	2	1	1	NUM
ejpam-4353	70	3	.	.	PUNCT
ejpam-4353	71	1	[	[	X
ejpam-4353	71	2	24	24	NUM
ejpam-4353	71	3	]	]	PUNCT
ejpam-4353	71	4	let	let	VERB
ejpam-4353	71	5	ς	ς	PROPN
ejpam-4353	71	6	=	=	PUNCT
ejpam-4353	71	7	{	{	PUNCT
ejpam-4353	71	8	ϱ1	ϱ1	PROPN
ejpam-4353	71	9	,	,	PUNCT
ejpam-4353	71	10	ϱ2	ϱ2	NOUN
ejpam-4353	71	11	,	,	PUNCT
ejpam-4353	71	12	...	...	PUNCT
ejpam-4353	71	13	,	,	PUNCT
ejpam-4353	71	14	ϱn	ϱn	PART
ejpam-4353	71	15	}	}	PUNCT
ejpam-4353	71	16	be	be	AUX
ejpam-4353	71	17	a	a	DET
ejpam-4353	71	18	set	set	NOUN
ejpam-4353	71	19	of	of	ADP
ejpam-4353	71	20	parameters	parameter	NOUN
ejpam-4353	71	21	.	.	PUNCT
ejpam-4353	72	1	the	the	DET
ejpam-4353	72	2	not	not	PART
ejpam-4353	72	3	set	set	NOUN
ejpam-4353	72	4	of	of	ADP
ejpam-4353	72	5	ς	ς	PROPN
ejpam-4353	72	6	denoted	denote	VERB
ejpam-4353	72	7	by	by	ADP
ejpam-4353	72	8	¬ς	¬ς	NOUN
ejpam-4353	72	9	=	=	PUNCT
ejpam-4353	72	10	{	{	PUNCT
ejpam-4353	72	11	¬ϱ1,¬ϱ2	¬ϱ1,¬ϱ2	PROPN
ejpam-4353	72	12	,	,	PUNCT
ejpam-4353	72	13	...	...	PUNCT
ejpam-4353	72	14	,	,	PUNCT
ejpam-4353	72	15	¬ϱn	¬ϱn	NOUN
ejpam-4353	72	16	}	}	PUNCT
ejpam-4353	72	17	for	for	ADP
ejpam-4353	72	18	all	all	DET
ejpam-4353	72	19	i	i	PROPN
ejpam-4353	72	20	,	,	PUNCT
ejpam-4353	72	21	¬ϱi	¬ϱi	PROPN
ejpam-4353	72	22	=	=	PUNCT
ejpam-4353	72	23	not	not	PART
ejpam-4353	72	24	ϱi	ϱi	VERB
ejpam-4353	72	25	.	.	PUNCT
ejpam-4353	73	1	definition	definition	NOUN
ejpam-4353	73	2	2	2	NUM
ejpam-4353	73	3	.	.	PUNCT
ejpam-4353	74	1	[	[	X
ejpam-4353	74	2	38	38	NUM
ejpam-4353	74	3	]	]	PUNCT
ejpam-4353	74	4	a	a	DET
ejpam-4353	74	5	triple	triple	ADJ
ejpam-4353	74	6	(	(	PUNCT
ejpam-4353	74	7	θ	θ	PROPN
ejpam-4353	74	8	,	,	PUNCT
ejpam-4353	74	9	λ	λ	PROPN
ejpam-4353	74	10	,	,	PUNCT
ejpam-4353	74	11	ς	ς	NOUN
ejpam-4353	74	12	)	)	PUNCT
ejpam-4353	74	13	is	be	AUX
ejpam-4353	74	14	called	call	VERB
ejpam-4353	74	15	a	a	DET
ejpam-4353	74	16	bipolar	bipolar	ADJ
ejpam-4353	74	17	soft	soft	ADJ
ejpam-4353	74	18	set	set	NOUN
ejpam-4353	74	19	on	on	ADP
ejpam-4353	74	20	ω	ω	PROPN
ejpam-4353	74	21	,	,	PUNCT
ejpam-4353	74	22	where	where	SCONJ
ejpam-4353	74	23	θ	θ	PROPN
ejpam-4353	74	24	and	and	CCONJ
ejpam-4353	74	25	λ	λ	PROPN
ejpam-4353	74	26	are	be	AUX
ejpam-4353	74	27	mappings	mapping	NOUN
ejpam-4353	74	28	defined	define	VERB
ejpam-4353	74	29	by	by	ADP
ejpam-4353	74	30	θ	θ	PROPN
ejpam-4353	74	31	:	:	PUNCT
ejpam-4353	74	32	ς	ς	PROPN
ejpam-4353	74	33	−→	−→	NOUN
ejpam-4353	74	34	υ(ω	υ(ω	NOUN
ejpam-4353	74	35	)	)	PUNCT
ejpam-4353	74	36	and	and	CCONJ
ejpam-4353	74	37	λ	λ	X
ejpam-4353	74	38	:	:	PUNCT
ejpam-4353	74	39	¬ς	¬ς	NOUN
ejpam-4353	74	40	−→	−→	NOUN
ejpam-4353	74	41	υ(ω	υ(ω	NOUN
ejpam-4353	74	42	)	)	PUNCT
ejpam-4353	74	43	such	such	ADJ
ejpam-4353	74	44	that	that	PRON
ejpam-4353	74	45	θ(ϱ	θ(ϱ	PROPN
ejpam-4353	74	46	)	)	PUNCT
ejpam-4353	74	47	∩	∩	ADJ
ejpam-4353	74	48	λ(¬ϱ	λ(¬ϱ	ADJ
ejpam-4353	74	49	)	)	PUNCT
ejpam-4353	74	50	=	=	SYM
ejpam-4353	74	51	ϕ	ϕ	PROPN
ejpam-4353	74	52	for	for	ADP
ejpam-4353	74	53	all	all	PRON
ejpam-4353	74	54	ϱ	ϱ	ADP
ejpam-4353	74	55	∈	∈	ADJ
ejpam-4353	74	56	ς	ς	PROPN
ejpam-4353	74	57	and	and	CCONJ
ejpam-4353	74	58	¬ϱ	¬ϱ	PROPN
ejpam-4353	74	59	∈	∈	PROPN
ejpam-4353	74	60	¬σ	¬σ	NOUN
ejpam-4353	74	61	.	.	PUNCT
ejpam-4353	75	1	in	in	ADP
ejpam-4353	75	2	other	other	ADJ
ejpam-4353	75	3	words	word	NOUN
ejpam-4353	75	4	,	,	PUNCT
ejpam-4353	75	5	a	a	DET
ejpam-4353	75	6	bipolar	bipolar	ADJ
ejpam-4353	75	7	soft	soft	ADJ
ejpam-4353	75	8	set	set	NOUN
ejpam-4353	75	9	(	(	PUNCT
ejpam-4353	75	10	θ	θ	NOUN
ejpam-4353	75	11	,	,	PUNCT
ejpam-4353	75	12	λ	λ	PROPN
ejpam-4353	75	13	,	,	PUNCT
ejpam-4353	75	14	ς	ς	NOUN
ejpam-4353	75	15	)	)	PUNCT
ejpam-4353	75	16	can	can	AUX
ejpam-4353	75	17	be	be	AUX
ejpam-4353	75	18	written	write	VERB
ejpam-4353	75	19	as	as	ADP
ejpam-4353	75	20	(	(	PUNCT
ejpam-4353	75	21	θ	θ	NOUN
ejpam-4353	75	22	,	,	PUNCT
ejpam-4353	75	23	λ	λ	PROPN
ejpam-4353	75	24	,	,	PUNCT
ejpam-4353	75	25	ς	ς	NOUN
ejpam-4353	75	26	)	)	PUNCT
ejpam-4353	75	27	=	=	SYM
ejpam-4353	75	28	{	{	PUNCT
ejpam-4353	75	29	(	(	PUNCT
ejpam-4353	75	30	ϱ,θ(ϱ),λ(¬ϱ	ϱ,θ(ϱ),λ(¬ϱ	PROPN
ejpam-4353	75	31	)	)	PUNCT
ejpam-4353	75	32	)	)	PUNCT
ejpam-4353	75	33	:	:	PUNCT
ejpam-4353	75	34	ϱ	ϱ	ADP
ejpam-4353	75	35	∈	∈	PROPN
ejpam-4353	75	36	ς	ς	PROPN
ejpam-4353	75	37	,	,	PUNCT
ejpam-4353	75	38	θ(ϱ	θ(ϱ	PROPN
ejpam-4353	75	39	)	)	PUNCT
ejpam-4353	75	40	∩	∩	ADJ
ejpam-4353	75	41	λ(¬ϱ	λ(¬ϱ	ADJ
ejpam-4353	75	42	)	)	PUNCT
ejpam-4353	75	43	=	=	SYM
ejpam-4353	75	44	ϕ	ϕ	NOUN
ejpam-4353	75	45	}	}	PUNCT
ejpam-4353	75	46	.	.	PUNCT
ejpam-4353	76	1	definition	definition	NOUN
ejpam-4353	76	2	3	3	NUM
ejpam-4353	76	3	.	.	PUNCT
ejpam-4353	77	1	[	[	X
ejpam-4353	77	2	38	38	NUM
ejpam-4353	77	3	]	]	PUNCT
ejpam-4353	77	4	for	for	ADP
ejpam-4353	77	5	any	any	DET
ejpam-4353	77	6	two	two	NUM
ejpam-4353	77	7	bipolar	bipolar	ADJ
ejpam-4353	77	8	soft	soft	ADJ
ejpam-4353	77	9	sets	set	NOUN
ejpam-4353	77	10	(	(	PUNCT
ejpam-4353	77	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	77	12	,	,	PUNCT
ejpam-4353	77	13	ς	ς	PROPN
ejpam-4353	77	14	)	)	PUNCT
ejpam-4353	77	15	and	and	CCONJ
ejpam-4353	77	16	(	(	PUNCT
ejpam-4353	77	17	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	77	18	,	,	PUNCT
ejpam-4353	77	19	σ	σ	PROPN
ejpam-4353	77	20	)	)	PUNCT
ejpam-4353	77	21	,	,	PUNCT
ejpam-4353	77	22	we	we	PRON
ejpam-4353	77	23	say	say	VERB
ejpam-4353	77	24	that	that	SCONJ
ejpam-4353	77	25	(	(	PUNCT
ejpam-4353	77	26	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	77	27	,	,	PUNCT
ejpam-4353	77	28	ς	ς	NOUN
ejpam-4353	77	29	)	)	PUNCT
ejpam-4353	77	30	is	be	AUX
ejpam-4353	77	31	a	a	DET
ejpam-4353	77	32	bipolar	bipolar	ADJ
ejpam-4353	77	33	soft	soft	ADJ
ejpam-4353	77	34	subset	subset	NOUN
ejpam-4353	77	35	of	of	ADP
ejpam-4353	77	36	(	(	PUNCT
ejpam-4353	77	37	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	77	38	,	,	PUNCT
ejpam-4353	77	39	σ	σ	NOUN
ejpam-4353	77	40	)	)	PUNCT
ejpam-4353	77	41	if	if	SCONJ
ejpam-4353	77	42	:	:	PUNCT
ejpam-4353	77	43	(	(	PUNCT
ejpam-4353	77	44	i	i	NOUN
ejpam-4353	77	45	)	)	PUNCT
ejpam-4353	77	46	ς	ς	PROPN
ejpam-4353	77	47	⊆	⊆	NUM
ejpam-4353	77	48	σ	σ	NOUN
ejpam-4353	77	49	and	and	CCONJ
ejpam-4353	77	50	,	,	PUNCT
ejpam-4353	77	51	(	(	PUNCT
ejpam-4353	77	52	ii	ii	NOUN
ejpam-4353	77	53	)	)	PUNCT
ejpam-4353	77	54	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	77	55	)	)	PUNCT
ejpam-4353	77	56	⊆	⊆	NUM
ejpam-4353	77	57	θ2(ϱ	θ2(ϱ	NUM
ejpam-4353	77	58	)	)	PUNCT
ejpam-4353	77	59	and	and	CCONJ
ejpam-4353	77	60	λ2(¬ϱ	λ2(¬ϱ	PROPN
ejpam-4353	77	61	)	)	PUNCT
ejpam-4353	77	62	⊆	⊆	NUM
ejpam-4353	77	63	λ1(¬ϱ	λ1(¬ϱ	NOUN
ejpam-4353	77	64	)	)	PUNCT
ejpam-4353	77	65	for	for	ADP
ejpam-4353	77	66	all	all	PRON
ejpam-4353	77	67	ϱ	ϱ	ADP
ejpam-4353	77	68	∈	∈	PROPN
ejpam-4353	77	69	ς	ς	PROPN
ejpam-4353	77	70	and	and	CCONJ
ejpam-4353	77	71	¬ϱ	¬ϱ	PROPN
ejpam-4353	77	72	∈	∈	PROPN
ejpam-4353	77	73	¬ς	¬ς	NOUN
ejpam-4353	77	74	.	.	PUNCT
ejpam-4353	78	1	this	this	DET
ejpam-4353	78	2	relationship	relationship	NOUN
ejpam-4353	78	3	is	be	AUX
ejpam-4353	78	4	denoted	denote	VERB
ejpam-4353	78	5	by	by	ADP
ejpam-4353	78	6	(	(	PUNCT
ejpam-4353	78	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	78	8	,	,	PUNCT
ejpam-4353	78	9	ς	ς	NOUN
ejpam-4353	78	10	)	)	PUNCT
ejpam-4353	78	11	˜̃⊆(θ2,λ2	˜̃⊆(θ2,λ2	PROPN
ejpam-4353	78	12	,	,	PUNCT
ejpam-4353	78	13	ς	ς	PROPN
ejpam-4353	78	14	)	)	PUNCT
ejpam-4353	78	15	.	.	PUNCT
ejpam-4353	79	1	similarly	similarly	ADV
ejpam-4353	79	2	,	,	PUNCT
ejpam-4353	79	3	we	we	PRON
ejpam-4353	79	4	say	say	VERB
ejpam-4353	79	5	that	that	SCONJ
ejpam-4353	79	6	(	(	PUNCT
ejpam-4353	79	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	79	8	,	,	PUNCT
ejpam-4353	79	9	ς	ς	NOUN
ejpam-4353	79	10	)	)	PUNCT
ejpam-4353	79	11	is	be	AUX
ejpam-4353	79	12	a	a	DET
ejpam-4353	79	13	bipolar	bipolar	ADJ
ejpam-4353	79	14	soft	soft	ADJ
ejpam-4353	79	15	superset	superset	NOUN
ejpam-4353	79	16	of	of	ADP
ejpam-4353	79	17	(	(	PUNCT
ejpam-4353	79	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	79	19	,	,	PUNCT
ejpam-4353	79	20	σ	σ	PROPN
ejpam-4353	79	21	)	)	PUNCT
ejpam-4353	79	22	,	,	PUNCT
ejpam-4353	79	23	denoted	denote	VERB
ejpam-4353	79	24	by	by	ADP
ejpam-4353	79	25	(	(	PUNCT
ejpam-4353	79	26	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	79	27	,	,	PUNCT
ejpam-4353	79	28	ς	ς	PROPN
ejpam-4353	79	29	)	)	PUNCT
ejpam-4353	79	30	˜̃⊇	˜̃⊇	ADP
ejpam-4353	79	31	(	(	PUNCT
ejpam-4353	79	32	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	79	33	,	,	PUNCT
ejpam-4353	79	34	σ	σ	PROPN
ejpam-4353	79	35	)	)	PUNCT
ejpam-4353	79	36	,	,	PUNCT
ejpam-4353	79	37	if	if	SCONJ
ejpam-4353	79	38	(	(	PUNCT
ejpam-4353	79	39	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	79	40	,	,	PUNCT
ejpam-4353	79	41	σ	σ	PROPN
ejpam-4353	79	42	)	)	PUNCT
ejpam-4353	79	43	is	be	AUX
ejpam-4353	79	44	a	a	DET
ejpam-4353	79	45	bipolar	bipolar	ADJ
ejpam-4353	79	46	soft	soft	ADJ
ejpam-4353	79	47	subset	subset	NOUN
ejpam-4353	79	48	of	of	ADP
ejpam-4353	79	49	(	(	PUNCT
ejpam-4353	79	50	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	79	51	,	,	PUNCT
ejpam-4353	79	52	ς	ς	PROPN
ejpam-4353	79	53	)	)	PUNCT
ejpam-4353	79	54	.	.	PUNCT
ejpam-4353	80	1	definition	definition	NOUN
ejpam-4353	80	2	4	4	NUM
ejpam-4353	80	3	.	.	PUNCT
ejpam-4353	81	1	[	[	X
ejpam-4353	81	2	38	38	NUM
ejpam-4353	81	3	]	]	SYM
ejpam-4353	81	4	two	two	NUM
ejpam-4353	81	5	bipolar	bipolar	ADJ
ejpam-4353	81	6	soft	soft	ADJ
ejpam-4353	81	7	sets	set	NOUN
ejpam-4353	81	8	(	(	PUNCT
ejpam-4353	81	9	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	81	10	,	,	PUNCT
ejpam-4353	81	11	ς	ς	PROPN
ejpam-4353	81	12	)	)	PUNCT
ejpam-4353	81	13	and	and	CCONJ
ejpam-4353	81	14	(	(	PUNCT
ejpam-4353	81	15	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	81	16	,	,	PUNCT
ejpam-4353	81	17	σ	σ	PROPN
ejpam-4353	81	18	)	)	PUNCT
ejpam-4353	81	19	are	be	AUX
ejpam-4353	81	20	said	say	VERB
ejpam-4353	81	21	to	to	PART
ejpam-4353	81	22	be	be	AUX
ejpam-4353	81	23	equal	equal	ADJ
ejpam-4353	81	24	,	,	PUNCT
ejpam-4353	81	25	denoted	denote	VERB
ejpam-4353	81	26	by	by	ADP
ejpam-4353	81	27	(	(	PUNCT
ejpam-4353	81	28	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	81	29	,	,	PUNCT
ejpam-4353	81	30	ς	ς	NOUN
ejpam-4353	81	31	)	)	PUNCT
ejpam-4353	81	32	=	=	SYM
ejpam-4353	81	33	(	(	PUNCT
ejpam-4353	81	34	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	81	35	,	,	PUNCT
ejpam-4353	81	36	σ	σ	PROPN
ejpam-4353	81	37	)	)	PUNCT
ejpam-4353	81	38	,	,	PUNCT
ejpam-4353	81	39	if	if	SCONJ
ejpam-4353	81	40	(	(	PUNCT
ejpam-4353	81	41	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	81	42	,	,	PUNCT
ejpam-4353	81	43	ς	ς	NOUN
ejpam-4353	81	44	)	)	PUNCT
ejpam-4353	81	45	is	be	AUX
ejpam-4353	81	46	a	a	DET
ejpam-4353	81	47	bipolar	bipolar	ADJ
ejpam-4353	81	48	soft	soft	ADJ
ejpam-4353	81	49	subset	subset	NOUN
ejpam-4353	81	50	of	of	ADP
ejpam-4353	81	51	(	(	PUNCT
ejpam-4353	81	52	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	81	53	,	,	PUNCT
ejpam-4353	81	54	σ	σ	PROPN
ejpam-4353	81	55	)	)	PUNCT
ejpam-4353	81	56	and	and	CCONJ
ejpam-4353	81	57	(	(	PUNCT
ejpam-4353	81	58	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	81	59	,	,	PUNCT
ejpam-4353	81	60	σ	σ	PROPN
ejpam-4353	81	61	)	)	PUNCT
ejpam-4353	81	62	is	be	AUX
ejpam-4353	81	63	a	a	DET
ejpam-4353	81	64	bipolar	bipolar	ADJ
ejpam-4353	81	65	soft	soft	ADJ
ejpam-4353	81	66	subset	subset	NOUN
ejpam-4353	81	67	of	of	ADP
ejpam-4353	81	68	(	(	PUNCT
ejpam-4353	81	69	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	81	70	,	,	PUNCT
ejpam-4353	81	71	ς	ς	PROPN
ejpam-4353	81	72	)	)	PUNCT
ejpam-4353	81	73	.	.	PUNCT
ejpam-4353	82	1	h.	h.	PROPN
ejpam-4353	82	2	y.	y.	PROPN
ejpam-4353	82	3	saleh	saleh	PROPN
ejpam-4353	82	4	,	,	PUNCT
ejpam-4353	82	5	b.	b.	PROPN
ejpam-4353	82	6	a.	a.	PROPN
ejpam-4353	82	7	asaad	asaad	PROPN
ejpam-4353	82	8	,	,	PUNCT
ejpam-4353	82	9	r.	r.	PROPN
ejpam-4353	82	10	a.	a.	PROPN
ejpam-4353	82	11	mohammed	mohammed	PROPN
ejpam-4353	82	12	/	/	SYM
ejpam-4353	82	13	eur	eur	PROPN
ejpam-4353	82	14	.	.	PUNCT
ejpam-4353	83	1	j.	j.	PROPN
ejpam-4353	83	2	pure	pure	PROPN
ejpam-4353	83	3	appl	appl	PROPN
ejpam-4353	83	4	.	.	PROPN
ejpam-4353	83	5	math	math	PROPN
ejpam-4353	83	6	,	,	PUNCT
ejpam-4353	83	7	15	15	NUM
ejpam-4353	83	8	(	(	PUNCT
ejpam-4353	83	9	2	2	NUM
ejpam-4353	83	10	)	)	PUNCT
ejpam-4353	83	11	(	(	PUNCT
ejpam-4353	83	12	2022	2022	NUM
ejpam-4353	83	13	)	)	PUNCT
ejpam-4353	83	14	,	,	PUNCT
ejpam-4353	83	15	646	646	NUM
ejpam-4353	83	16	-	-	SYM
ejpam-4353	83	17	671	671	NUM
ejpam-4353	83	18	649	649	NUM
ejpam-4353	83	19	definition	definition	NOUN
ejpam-4353	83	20	5	5	NUM
ejpam-4353	83	21	.	.	PUNCT
ejpam-4353	84	1	[	[	X
ejpam-4353	84	2	38	38	NUM
ejpam-4353	84	3	]	]	PUNCT
ejpam-4353	84	4	the	the	DET
ejpam-4353	84	5	complement	complement	NOUN
ejpam-4353	84	6	of	of	ADP
ejpam-4353	84	7	a	a	DET
ejpam-4353	84	8	bipolar	bipolar	ADJ
ejpam-4353	84	9	soft	soft	ADJ
ejpam-4353	84	10	set	set	NOUN
ejpam-4353	84	11	(	(	PUNCT
ejpam-4353	84	12	θ	θ	NOUN
ejpam-4353	84	13	,	,	PUNCT
ejpam-4353	84	14	λ	λ	PROPN
ejpam-4353	84	15	,	,	PUNCT
ejpam-4353	84	16	ς	ς	NOUN
ejpam-4353	84	17	)	)	PUNCT
ejpam-4353	84	18	is	be	AUX
ejpam-4353	84	19	denoted	denote	VERB
ejpam-4353	84	20	by	by	ADP
ejpam-4353	84	21	(	(	PUNCT
ejpam-4353	84	22	θ	θ	PROPN
ejpam-4353	84	23	,	,	PUNCT
ejpam-4353	84	24	λ	λ	PROPN
ejpam-4353	84	25	,	,	PUNCT
ejpam-4353	84	26	ς)c	ς)c	NOUN
ejpam-4353	84	27	and	and	CCONJ
ejpam-4353	84	28	defined	define	VERB
ejpam-4353	84	29	by	by	ADP
ejpam-4353	84	30	(	(	PUNCT
ejpam-4353	84	31	θ	θ	PROPN
ejpam-4353	84	32	,	,	PUNCT
ejpam-4353	84	33	λ	λ	PROPN
ejpam-4353	84	34	,	,	PUNCT
ejpam-4353	84	35	ς)c=(θc	ς)c=(θc	PROPN
ejpam-4353	84	36	,	,	PUNCT
ejpam-4353	84	37	λc	λc	NOUN
ejpam-4353	84	38	,	,	PUNCT
ejpam-4353	84	39	ς	ς	PROPN
ejpam-4353	84	40	)	)	PUNCT
ejpam-4353	84	41	where	where	SCONJ
ejpam-4353	84	42	θc	θc	NOUN
ejpam-4353	84	43	and	and	CCONJ
ejpam-4353	84	44	λc	λc	AUX
ejpam-4353	84	45	are	be	AUX
ejpam-4353	84	46	mappings	mapping	NOUN
ejpam-4353	84	47	given	give	VERB
ejpam-4353	84	48	by	by	ADP
ejpam-4353	84	49	θc(ϱ	θc(ϱ	NOUN
ejpam-4353	84	50	)	)	PUNCT
ejpam-4353	84	51	=	=	SYM
ejpam-4353	84	52	λ(¬ϱ	λ(¬ϱ	ADJ
ejpam-4353	84	53	)	)	PUNCT
ejpam-4353	84	54	and	and	CCONJ
ejpam-4353	84	55	λc(¬ϱ	λc(¬ϱ	PROPN
ejpam-4353	84	56	)	)	PUNCT
ejpam-4353	84	57	=	=	PUNCT
ejpam-4353	84	58	θ(ϱ	θ(ϱ	PROPN
ejpam-4353	84	59	)	)	PUNCT
ejpam-4353	84	60	for	for	ADP
ejpam-4353	84	61	all	all	PRON
ejpam-4353	84	62	ϱ	ϱ	ADP
ejpam-4353	84	63	∈	∈	PROPN
ejpam-4353	84	64	ς	ς	PROPN
ejpam-4353	84	65	and	and	CCONJ
ejpam-4353	84	66	¬ϱ	¬ϱ	PROPN
ejpam-4353	84	67	∈	∈	PROPN
ejpam-4353	84	68	¬ς	¬ς	NOUN
ejpam-4353	84	69	.	.	PUNCT
ejpam-4353	85	1	definition	definition	NOUN
ejpam-4353	85	2	6	6	NUM
ejpam-4353	85	3	.	.	PUNCT
ejpam-4353	86	1	[	[	X
ejpam-4353	86	2	38	38	NUM
ejpam-4353	86	3	]	]	PUNCT
ejpam-4353	86	4	a	a	DET
ejpam-4353	86	5	relative	relative	ADJ
ejpam-4353	86	6	null	null	ADJ
ejpam-4353	86	7	bipolar	bipolar	ADJ
ejpam-4353	86	8	soft	soft	ADJ
ejpam-4353	86	9	set	set	NOUN
ejpam-4353	86	10	(	(	PUNCT
ejpam-4353	86	11	φ	φ	PROPN
ejpam-4353	86	12	,	,	PUNCT
ejpam-4353	86	13	˜̃	˜̃	NOUN
ejpam-4353	86	14	ω	ω	PROPN
ejpam-4353	86	15	,	,	PUNCT
ejpam-4353	86	16	ς	ς	NOUN
ejpam-4353	86	17	)	)	PUNCT
ejpam-4353	86	18	is	be	AUX
ejpam-4353	86	19	a	a	DET
ejpam-4353	86	20	bipolar	bipolar	ADJ
ejpam-4353	86	21	soft	soft	ADJ
ejpam-4353	86	22	set	set	NOUN
ejpam-4353	86	23	(	(	PUNCT
ejpam-4353	86	24	θ	θ	NOUN
ejpam-4353	86	25	,	,	PUNCT
ejpam-4353	86	26	λ	λ	PROPN
ejpam-4353	86	27	,	,	PUNCT
ejpam-4353	86	28	ς	ς	PROPN
ejpam-4353	86	29	)	)	PUNCT
ejpam-4353	86	30	if	if	SCONJ
ejpam-4353	86	31	θ(ϱ	θ(ϱ	PROPN
ejpam-4353	86	32	)	)	PUNCT
ejpam-4353	87	1	=	=	SYM
ejpam-4353	87	2	ϕ	ϕ	PROPN
ejpam-4353	87	3	for	for	ADP
ejpam-4353	87	4	all	all	PRON
ejpam-4353	87	5	ϱ	ϱ	ADP
ejpam-4353	87	6	∈	∈	PROPN
ejpam-4353	87	7	ς	ς	PROPN
ejpam-4353	87	8	and	and	CCONJ
ejpam-4353	87	9	λ(¬ϱ	λ(¬ϱ	PROPN
ejpam-4353	87	10	)	)	PUNCT
ejpam-4353	87	11	=	=	SYM
ejpam-4353	87	12	ω	ω	PROPN
ejpam-4353	87	13	for	for	ADP
ejpam-4353	87	14	all	all	DET
ejpam-4353	87	15	¬ϱ	¬ϱ	PROPN
ejpam-4353	87	16	∈	∈	PROPN
ejpam-4353	87	17	¬ς	¬ς	NOUN
ejpam-4353	87	18	.	.	PUNCT
ejpam-4353	88	1	definition	definition	NOUN
ejpam-4353	88	2	7	7	NUM
ejpam-4353	88	3	.	.	PUNCT
ejpam-4353	89	1	[	[	X
ejpam-4353	89	2	38	38	NUM
ejpam-4353	89	3	]	]	PUNCT
ejpam-4353	89	4	a	a	DET
ejpam-4353	89	5	relative	relative	ADJ
ejpam-4353	89	6	absolute	absolute	ADJ
ejpam-4353	89	7	bipolar	bipolar	ADJ
ejpam-4353	89	8	soft	soft	ADJ
ejpam-4353	89	9	set	set	NOUN
ejpam-4353	89	10	(	(	PUNCT
ejpam-4353	89	11	˜̃	˜̃	NOUN
ejpam-4353	89	12	ω	ω	PROPN
ejpam-4353	89	13	,	,	PUNCT
ejpam-4353	89	14	φ	φ	PROPN
ejpam-4353	89	15	,	,	PUNCT
ejpam-4353	89	16	ς	ς	NOUN
ejpam-4353	89	17	)	)	PUNCT
ejpam-4353	89	18	is	be	AUX
ejpam-4353	89	19	a	a	DET
ejpam-4353	89	20	bipolar	bipolar	ADJ
ejpam-4353	89	21	soft	soft	ADJ
ejpam-4353	89	22	set	set	NOUN
ejpam-4353	89	23	(	(	PUNCT
ejpam-4353	89	24	θ	θ	NOUN
ejpam-4353	89	25	,	,	PUNCT
ejpam-4353	89	26	λ	λ	PROPN
ejpam-4353	89	27	,	,	PUNCT
ejpam-4353	89	28	ς	ς	PROPN
ejpam-4353	89	29	)	)	PUNCT
ejpam-4353	89	30	if	if	SCONJ
ejpam-4353	89	31	θ(ϱ	θ(ϱ	PROPN
ejpam-4353	89	32	)	)	PUNCT
ejpam-4353	90	1	=	=	SYM
ejpam-4353	90	2	ω	ω	PROPN
ejpam-4353	90	3	for	for	ADP
ejpam-4353	90	4	all	all	PRON
ejpam-4353	90	5	ϱ	ϱ	ADP
ejpam-4353	90	6	∈	∈	PROPN
ejpam-4353	90	7	ς	ς	PROPN
ejpam-4353	90	8	and	and	CCONJ
ejpam-4353	90	9	λ(¬ϱ	λ(¬ϱ	PROPN
ejpam-4353	90	10	)	)	PUNCT
ejpam-4353	90	11	=	=	SYM
ejpam-4353	90	12	ϕ	ϕ	PROPN
ejpam-4353	90	13	for	for	ADP
ejpam-4353	90	14	all	all	DET
ejpam-4353	90	15	¬ϱ	¬ϱ	PROPN
ejpam-4353	90	16	∈	∈	PROPN
ejpam-4353	90	17	¬ς	¬ς	NOUN
ejpam-4353	90	18	.	.	PUNCT
ejpam-4353	91	1	definition	definition	NOUN
ejpam-4353	91	2	8	8	NUM
ejpam-4353	91	3	.	.	PUNCT
ejpam-4353	92	1	[	[	X
ejpam-4353	92	2	38	38	NUM
ejpam-4353	92	3	]	]	PUNCT
ejpam-4353	92	4	the	the	DET
ejpam-4353	92	5	bipolar	bipolar	ADJ
ejpam-4353	92	6	soft	soft	ADJ
ejpam-4353	92	7	intersection	intersection	NOUN
ejpam-4353	92	8	between	between	ADP
ejpam-4353	92	9	two	two	NUM
ejpam-4353	92	10	bipolar	bipolar	ADJ
ejpam-4353	92	11	soft	soft	ADJ
ejpam-4353	92	12	sets	set	NOUN
ejpam-4353	92	13	(	(	PUNCT
ejpam-4353	92	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	92	15	,	,	PUNCT
ejpam-4353	92	16	ς	ς	PROPN
ejpam-4353	92	17	)	)	PUNCT
ejpam-4353	92	18	and	and	CCONJ
ejpam-4353	92	19	(	(	PUNCT
ejpam-4353	92	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	92	21	,	,	PUNCT
ejpam-4353	92	22	σ	σ	PROPN
ejpam-4353	92	23	)	)	PUNCT
ejpam-4353	92	24	is	be	AUX
ejpam-4353	92	25	the	the	DET
ejpam-4353	92	26	bipolar	bipolar	ADJ
ejpam-4353	92	27	soft	soft	ADJ
ejpam-4353	92	28	set	set	NOUN
ejpam-4353	92	29	(	(	PUNCT
ejpam-4353	92	30	χ	χ	NOUN
ejpam-4353	92	31	,	,	PUNCT
ejpam-4353	92	32	ψ	ψ	NOUN
ejpam-4353	92	33	,	,	PUNCT
ejpam-4353	92	34	κ	κ	NOUN
ejpam-4353	92	35	)	)	PUNCT
ejpam-4353	92	36	where	where	SCONJ
ejpam-4353	92	37	κ	κ	NOUN
ejpam-4353	92	38	=	=	SYM
ejpam-4353	92	39	ς	ς	PROPN
ejpam-4353	92	40	∩	∩	NOUN
ejpam-4353	92	41	σ	σ	PROPN
ejpam-4353	92	42	is	be	AUX
ejpam-4353	92	43	a	a	DET
ejpam-4353	92	44	nonempty	nonempty	ADV
ejpam-4353	92	45	set	set	VERB
ejpam-4353	92	46	and	and	CCONJ
ejpam-4353	92	47	for	for	ADP
ejpam-4353	92	48	all	all	PRON
ejpam-4353	92	49	ϱ	ϱ	ADP
ejpam-4353	92	50	∈	∈	PROPN
ejpam-4353	92	51	κ	κ	NOUN
ejpam-4353	92	52	,	,	PUNCT
ejpam-4353	92	53	χ(ϱ	χ(ϱ	PROPN
ejpam-4353	92	54	)	)	PUNCT
ejpam-4353	93	1	=	=	SYM
ejpam-4353	93	2	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	93	3	)	)	PUNCT
ejpam-4353	93	4	∩θ2(e	∩θ2(e	ADJ
ejpam-4353	93	5	)	)	PUNCT
ejpam-4353	93	6	and	and	CCONJ
ejpam-4353	93	7	ψ(¬ϱ	ψ(¬ϱ	PROPN
ejpam-4353	93	8	)	)	PUNCT
ejpam-4353	93	9	=	=	SYM
ejpam-4353	94	1	λ1(¬ϱ	λ1(¬ϱ	NOUN
ejpam-4353	94	2	)	)	PUNCT
ejpam-4353	94	3	∪	∪	ADP
ejpam-4353	94	4	λ2(¬ϱ	λ2(¬ϱ	PROPN
ejpam-4353	94	5	)	)	PUNCT
ejpam-4353	94	6	.	.	PUNCT
ejpam-4353	95	1	it	it	PRON
ejpam-4353	95	2	is	be	AUX
ejpam-4353	95	3	denoted	denote	VERB
ejpam-4353	95	4	by	by	ADP
ejpam-4353	95	5	(	(	PUNCT
ejpam-4353	95	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	95	7	,	,	PUNCT
ejpam-4353	95	8	ς	ς	PROPN
ejpam-4353	95	9	)	)	PUNCT
ejpam-4353	95	10	˜̃∩	˜̃∩	ADV
ejpam-4353	95	11	(	(	PUNCT
ejpam-4353	95	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	95	13	,	,	PUNCT
ejpam-4353	95	14	σ	σ	NOUN
ejpam-4353	95	15	)	)	PUNCT
ejpam-4353	95	16	=	=	PUNCT
ejpam-4353	95	17	(	(	PUNCT
ejpam-4353	95	18	χ	χ	NOUN
ejpam-4353	95	19	,	,	PUNCT
ejpam-4353	95	20	ψ	ψ	NOUN
ejpam-4353	95	21	,	,	PUNCT
ejpam-4353	95	22	κ	κ	NOUN
ejpam-4353	95	23	)	)	PUNCT
ejpam-4353	95	24	.	.	PUNCT
ejpam-4353	96	1	definition	definition	NOUN
ejpam-4353	96	2	9	9	NUM
ejpam-4353	96	3	.	.	PUNCT
ejpam-4353	97	1	[	[	X
ejpam-4353	97	2	38	38	NUM
ejpam-4353	97	3	]	]	PUNCT
ejpam-4353	97	4	the	the	DET
ejpam-4353	97	5	bipolar	bipolar	ADJ
ejpam-4353	97	6	soft	soft	ADJ
ejpam-4353	97	7	union	union	NOUN
ejpam-4353	97	8	between	between	ADP
ejpam-4353	97	9	two	two	NUM
ejpam-4353	97	10	bipolar	bipolar	ADJ
ejpam-4353	97	11	soft	soft	ADJ
ejpam-4353	97	12	sets	set	NOUN
ejpam-4353	97	13	(	(	PUNCT
ejpam-4353	97	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	97	15	,	,	PUNCT
ejpam-4353	97	16	ς	ς	PROPN
ejpam-4353	97	17	)	)	PUNCT
ejpam-4353	97	18	and	and	CCONJ
ejpam-4353	97	19	(	(	PUNCT
ejpam-4353	97	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	97	21	,	,	PUNCT
ejpam-4353	97	22	σ	σ	PROPN
ejpam-4353	97	23	)	)	PUNCT
ejpam-4353	97	24	is	be	AUX
ejpam-4353	97	25	the	the	DET
ejpam-4353	97	26	bipolar	bipolar	ADJ
ejpam-4353	97	27	soft	soft	ADJ
ejpam-4353	97	28	set	set	NOUN
ejpam-4353	97	29	(	(	PUNCT
ejpam-4353	97	30	χ	χ	NOUN
ejpam-4353	97	31	,	,	PUNCT
ejpam-4353	97	32	ψ	ψ	NOUN
ejpam-4353	97	33	,	,	PUNCT
ejpam-4353	97	34	κ	κ	NOUN
ejpam-4353	97	35	)	)	PUNCT
ejpam-4353	97	36	where	where	SCONJ
ejpam-4353	97	37	κ	κ	NOUN
ejpam-4353	97	38	=	=	SYM
ejpam-4353	97	39	ς	ς	PROPN
ejpam-4353	97	40	∪	∪	X
ejpam-4353	97	41	σ	σ	PROPN
ejpam-4353	97	42	is	be	AUX
ejpam-4353	97	43	a	a	DET
ejpam-4353	97	44	nonempty	nonempty	ADV
ejpam-4353	97	45	set	set	VERB
ejpam-4353	97	46	and	and	CCONJ
ejpam-4353	97	47	for	for	ADP
ejpam-4353	97	48	all	all	PRON
ejpam-4353	97	49	ϱ	ϱ	ADP
ejpam-4353	97	50	∈	∈	PROPN
ejpam-4353	97	51	κ	κ	NOUN
ejpam-4353	97	52	,	,	PUNCT
ejpam-4353	97	53	χ(ϱ	χ(ϱ	PROPN
ejpam-4353	97	54	)	)	PUNCT
ejpam-4353	97	55	=	=	SYM
ejpam-4353	97	56	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	97	57	)	)	PUNCT
ejpam-4353	97	58	∪θ2(e	∪θ2(e	NOUN
ejpam-4353	97	59	)	)	PUNCT
ejpam-4353	97	60	and	and	CCONJ
ejpam-4353	97	61	ψ(¬ϱ	ψ(¬ϱ	PROPN
ejpam-4353	97	62	)	)	PUNCT
ejpam-4353	97	63	=	=	SYM
ejpam-4353	97	64	λ1(¬ϱ	λ1(¬ϱ	NOUN
ejpam-4353	97	65	)	)	PUNCT
ejpam-4353	97	66	∩	∩	NOUN
ejpam-4353	97	67	λ2(¬ϱ	λ2(¬ϱ	NOUN
ejpam-4353	97	68	)	)	PUNCT
ejpam-4353	97	69	.	.	PUNCT
ejpam-4353	98	1	it	it	PRON
ejpam-4353	98	2	is	be	AUX
ejpam-4353	98	3	denoted	denote	VERB
ejpam-4353	98	4	by	by	ADP
ejpam-4353	98	5	(	(	PUNCT
ejpam-4353	98	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	98	7	,	,	PUNCT
ejpam-4353	98	8	ς	ς	PROPN
ejpam-4353	98	9	)	)	PUNCT
ejpam-4353	98	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	98	11	(	(	PUNCT
ejpam-4353	98	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	98	13	,	,	PUNCT
ejpam-4353	98	14	σ	σ	NOUN
ejpam-4353	98	15	)	)	PUNCT
ejpam-4353	98	16	=	=	PUNCT
ejpam-4353	98	17	(	(	PUNCT
ejpam-4353	98	18	χ	χ	NOUN
ejpam-4353	98	19	,	,	PUNCT
ejpam-4353	98	20	ψ	ψ	NOUN
ejpam-4353	98	21	,	,	PUNCT
ejpam-4353	98	22	κ	κ	NOUN
ejpam-4353	98	23	)	)	PUNCT
ejpam-4353	98	24	.	.	PUNCT
ejpam-4353	99	1	definition	definition	NOUN
ejpam-4353	99	2	10	10	NUM
ejpam-4353	99	3	.	.	PUNCT
ejpam-4353	100	1	[	[	X
ejpam-4353	100	2	38	38	NUM
ejpam-4353	100	3	]	]	PUNCT
ejpam-4353	100	4	the	the	DET
ejpam-4353	100	5	bipolar	bipolar	ADJ
ejpam-4353	100	6	soft	soft	ADJ
ejpam-4353	100	7	union	union	NOUN
ejpam-4353	100	8	between	between	ADP
ejpam-4353	100	9	two	two	NUM
ejpam-4353	100	10	bipolar	bipolar	ADJ
ejpam-4353	100	11	soft	soft	ADJ
ejpam-4353	100	12	sets	set	NOUN
ejpam-4353	100	13	(	(	PUNCT
ejpam-4353	100	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	100	15	,	,	PUNCT
ejpam-4353	100	16	ς	ς	PROPN
ejpam-4353	100	17	)	)	PUNCT
ejpam-4353	100	18	and	and	CCONJ
ejpam-4353	100	19	(	(	PUNCT
ejpam-4353	100	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	100	21	,	,	PUNCT
ejpam-4353	100	22	σ	σ	PROPN
ejpam-4353	100	23	)	)	PUNCT
ejpam-4353	100	24	is	be	AUX
ejpam-4353	100	25	the	the	DET
ejpam-4353	100	26	bipolar	bipolar	ADJ
ejpam-4353	100	27	soft	soft	ADJ
ejpam-4353	100	28	set	set	NOUN
ejpam-4353	100	29	(	(	PUNCT
ejpam-4353	100	30	χ	χ	NOUN
ejpam-4353	100	31	,	,	PUNCT
ejpam-4353	100	32	ψ	ψ	NOUN
ejpam-4353	100	33	,	,	PUNCT
ejpam-4353	100	34	κ	κ	NOUN
ejpam-4353	100	35	)	)	PUNCT
ejpam-4353	100	36	where	where	SCONJ
ejpam-4353	100	37	κ	κ	NOUN
ejpam-4353	100	38	=	=	SYM
ejpam-4353	100	39	ς	ς	PROPN
ejpam-4353	100	40	∪	∪	X
ejpam-4353	100	41	σ	σ	PROPN
ejpam-4353	100	42	is	be	AUX
ejpam-4353	100	43	a	a	DET
ejpam-4353	100	44	nonempty	nonempty	ADV
ejpam-4353	100	45	set	set	VERB
ejpam-4353	100	46	and	and	CCONJ
ejpam-4353	100	47	for	for	ADP
ejpam-4353	100	48	all	all	PRON
ejpam-4353	100	49	ϱ	ϱ	ADP
ejpam-4353	100	50	∈	∈	PROPN
ejpam-4353	100	51	κ	κ	NOUN
ejpam-4353	100	52	,	,	PUNCT
ejpam-4353	100	53	χ(ϱ	χ(ϱ	PROPN
ejpam-4353	100	54	)	)	PUNCT
ejpam-4353	100	55	=	=	PUNCT
ejpam-4353	101	1			PROPN
ejpam-4353	101	2	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	101	3	)	)	PUNCT
ejpam-4353	101	4	,	,	PUNCT
ejpam-4353	101	5	ϱ	ϱ	ADP
ejpam-4353	101	6	∈	∈	PROPN
ejpam-4353	101	7	ς	ς	PROPN
ejpam-4353	101	8	−	−	PROPN
ejpam-4353	101	9	σ	σ	PROPN
ejpam-4353	101	10	,	,	PUNCT
ejpam-4353	101	11	θ2(ϱ	θ2(ϱ	PROPN
ejpam-4353	101	12	)	)	PUNCT
ejpam-4353	101	13	,	,	PUNCT
ejpam-4353	101	14	ϱ	ϱ	PROPN
ejpam-4353	101	15	∈	∈	PROPN
ejpam-4353	101	16	σ	σ	NOUN
ejpam-4353	101	17	−	−	PROPN
ejpam-4353	101	18	ς	ς	PROPN
ejpam-4353	101	19	,	,	PUNCT
ejpam-4353	101	20	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	101	21	)	)	PUNCT
ejpam-4353	101	22	∪θ2(ϱ	∪θ2(ϱ	NOUN
ejpam-4353	101	23	)	)	PUNCT
ejpam-4353	101	24	,	,	PUNCT
ejpam-4353	101	25	ϱ	ϱ	PROPN
ejpam-4353	101	26	∈	∈	PROPN
ejpam-4353	101	27	ς	ς	PROPN
ejpam-4353	101	28	∩	∩	PROPN
ejpam-4353	101	29	σ	σ	PROPN
ejpam-4353	101	30	.	.	PUNCT
ejpam-4353	102	1	ψ(¬ϱ	ψ(¬ϱ	PROPN
ejpam-4353	102	2	)	)	PUNCT
ejpam-4353	103	1	=	=	PUNCT
ejpam-4353	103	2			PRON
ejpam-4353	103	3	θ1(¬ϱ	θ1(¬ϱ	VERB
ejpam-4353	103	4	)	)	PUNCT
ejpam-4353	103	5	,	,	PUNCT
ejpam-4353	104	1	¬ϱ	¬ϱ	PROPN
ejpam-4353	104	2	∈	∈	PROPN
ejpam-4353	104	3	¬ς	¬ς	NOUN
ejpam-4353	104	4	−	−	NOUN
ejpam-4353	104	5	¬σ	¬σ	PROPN
ejpam-4353	104	6	,	,	PUNCT
ejpam-4353	104	7	θ2(¬ϱ	θ2(¬ϱ	NOUN
ejpam-4353	104	8	)	)	PUNCT
ejpam-4353	104	9	,	,	PUNCT
ejpam-4353	104	10	¬ϱ	¬ϱ	PROPN
ejpam-4353	104	11	∈	∈	PROPN
ejpam-4353	105	1	¬σ	¬σ	PROPN
ejpam-4353	105	2	−	−	PROPN
ejpam-4353	105	3	¬ς	¬ς	NOUN
ejpam-4353	105	4	,	,	PUNCT
ejpam-4353	105	5	θ1(¬ϱ	θ1(¬ϱ	NOUN
ejpam-4353	105	6	)	)	PUNCT
ejpam-4353	105	7	∩θ2(¬ϱ	∩θ2(¬ϱ	NOUN
ejpam-4353	105	8	)	)	PUNCT
ejpam-4353	105	9	,	,	PUNCT
ejpam-4353	105	10	¬ϱ	¬ϱ	PROPN
ejpam-4353	105	11	∈	∈	PROPN
ejpam-4353	105	12	¬ς	¬ς	NOUN
ejpam-4353	105	13	∩	∩	NOUN
ejpam-4353	105	14	¬σ	¬σ	NUM
ejpam-4353	105	15	.	.	PUNCT
ejpam-4353	106	1	it	it	PRON
ejpam-4353	106	2	is	be	AUX
ejpam-4353	106	3	denoted	denote	VERB
ejpam-4353	106	4	by	by	ADP
ejpam-4353	106	5	(	(	PUNCT
ejpam-4353	106	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	106	7	,	,	PUNCT
ejpam-4353	106	8	ς	ς	PROPN
ejpam-4353	106	9	)	)	PUNCT
ejpam-4353	106	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	106	11	(	(	PUNCT
ejpam-4353	106	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	106	13	,	,	PUNCT
ejpam-4353	106	14	σ	σ	NOUN
ejpam-4353	106	15	)	)	PUNCT
ejpam-4353	106	16	=	=	PUNCT
ejpam-4353	106	17	(	(	PUNCT
ejpam-4353	106	18	χ	χ	NOUN
ejpam-4353	106	19	,	,	PUNCT
ejpam-4353	106	20	ψ	ψ	NOUN
ejpam-4353	106	21	,	,	PUNCT
ejpam-4353	106	22	κ	κ	NOUN
ejpam-4353	106	23	)	)	PUNCT
ejpam-4353	106	24	.	.	PUNCT
ejpam-4353	107	1	definition	definition	NOUN
ejpam-4353	107	2	11	11	NUM
ejpam-4353	107	3	.	.	PUNCT
ejpam-4353	108	1	[	[	X
ejpam-4353	108	2	38	38	NUM
ejpam-4353	108	3	]	]	PUNCT
ejpam-4353	108	4	the	the	DET
ejpam-4353	108	5	bipolar	bipolar	ADJ
ejpam-4353	108	6	soft	soft	ADJ
ejpam-4353	108	7	intersection	intersection	NOUN
ejpam-4353	108	8	between	between	ADP
ejpam-4353	108	9	two	two	NUM
ejpam-4353	108	10	bipolar	bipolar	ADJ
ejpam-4353	108	11	soft	soft	ADJ
ejpam-4353	108	12	sets	set	NOUN
ejpam-4353	108	13	(	(	PUNCT
ejpam-4353	108	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	108	15	,	,	PUNCT
ejpam-4353	108	16	ς	ς	PROPN
ejpam-4353	108	17	)	)	PUNCT
ejpam-4353	108	18	and	and	CCONJ
ejpam-4353	108	19	(	(	PUNCT
ejpam-4353	108	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	108	21	,	,	PUNCT
ejpam-4353	108	22	σ	σ	PROPN
ejpam-4353	108	23	)	)	PUNCT
ejpam-4353	108	24	is	be	AUX
ejpam-4353	108	25	the	the	DET
ejpam-4353	108	26	bipolar	bipolar	ADJ
ejpam-4353	108	27	soft	soft	ADJ
ejpam-4353	108	28	set	set	NOUN
ejpam-4353	108	29	(	(	PUNCT
ejpam-4353	108	30	χ	χ	NOUN
ejpam-4353	108	31	,	,	PUNCT
ejpam-4353	108	32	ψ	ψ	NOUN
ejpam-4353	108	33	,	,	PUNCT
ejpam-4353	108	34	κ	κ	NOUN
ejpam-4353	108	35	)	)	PUNCT
ejpam-4353	108	36	where	where	SCONJ
ejpam-4353	108	37	κ	κ	NOUN
ejpam-4353	108	38	=	=	SYM
ejpam-4353	108	39	ς	ς	PROPN
ejpam-4353	108	40	∪	∪	X
ejpam-4353	108	41	σ	σ	PROPN
ejpam-4353	108	42	is	be	AUX
ejpam-4353	108	43	a	a	DET
ejpam-4353	108	44	nonempty	nonempty	ADV
ejpam-4353	108	45	set	set	VERB
ejpam-4353	108	46	and	and	CCONJ
ejpam-4353	108	47	for	for	ADP
ejpam-4353	108	48	all	all	PRON
ejpam-4353	108	49	ϱ	ϱ	ADP
ejpam-4353	108	50	∈	∈	PROPN
ejpam-4353	108	51	κ	κ	NOUN
ejpam-4353	108	52	,	,	PUNCT
ejpam-4353	108	53	χ(ϱ	χ(ϱ	PROPN
ejpam-4353	108	54	)	)	PUNCT
ejpam-4353	108	55	=	=	PUNCT
ejpam-4353	109	1			PROPN
ejpam-4353	109	2	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	109	3	)	)	PUNCT
ejpam-4353	109	4	,	,	PUNCT
ejpam-4353	109	5	ϱ	ϱ	ADP
ejpam-4353	109	6	∈	∈	PROPN
ejpam-4353	109	7	ς	ς	PROPN
ejpam-4353	109	8	−	−	PROPN
ejpam-4353	109	9	σ	σ	PROPN
ejpam-4353	109	10	,	,	PUNCT
ejpam-4353	109	11	θ2(ϱ	θ2(ϱ	PROPN
ejpam-4353	109	12	)	)	PUNCT
ejpam-4353	109	13	,	,	PUNCT
ejpam-4353	109	14	ϱ	ϱ	PROPN
ejpam-4353	109	15	∈	∈	PROPN
ejpam-4353	109	16	σ	σ	NOUN
ejpam-4353	109	17	−	−	PROPN
ejpam-4353	109	18	ς	ς	PROPN
ejpam-4353	109	19	,	,	PUNCT
ejpam-4353	109	20	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	109	21	)	)	PUNCT
ejpam-4353	109	22	∩θ2(ϱ	∩θ2(ϱ	NOUN
ejpam-4353	109	23	)	)	PUNCT
ejpam-4353	109	24	,	,	PUNCT
ejpam-4353	109	25	ϱ	ϱ	PROPN
ejpam-4353	109	26	∈	∈	PROPN
ejpam-4353	109	27	ς	ς	PROPN
ejpam-4353	109	28	∩	∩	PROPN
ejpam-4353	109	29	σ	σ	PROPN
ejpam-4353	109	30	.	.	PUNCT
ejpam-4353	109	31	h.	h.	PROPN
ejpam-4353	109	32	y.	y.	PROPN
ejpam-4353	109	33	saleh	saleh	PROPN
ejpam-4353	109	34	,	,	PUNCT
ejpam-4353	109	35	b.	b.	PROPN
ejpam-4353	109	36	a.	a.	PROPN
ejpam-4353	109	37	asaad	asaad	PROPN
ejpam-4353	109	38	,	,	PUNCT
ejpam-4353	109	39	r.	r.	PROPN
ejpam-4353	109	40	a.	a.	PROPN
ejpam-4353	109	41	mohammed	mohammed	PROPN
ejpam-4353	109	42	/	/	SYM
ejpam-4353	109	43	eur	eur	PROPN
ejpam-4353	109	44	.	.	PUNCT
ejpam-4353	110	1	j.	j.	PROPN
ejpam-4353	110	2	pure	pure	PROPN
ejpam-4353	110	3	appl	appl	PROPN
ejpam-4353	110	4	.	.	PROPN
ejpam-4353	110	5	math	math	PROPN
ejpam-4353	110	6	,	,	PUNCT
ejpam-4353	110	7	15	15	NUM
ejpam-4353	110	8	(	(	PUNCT
ejpam-4353	110	9	2	2	NUM
ejpam-4353	110	10	)	)	PUNCT
ejpam-4353	110	11	(	(	PUNCT
ejpam-4353	110	12	2022	2022	NUM
ejpam-4353	110	13	)	)	PUNCT
ejpam-4353	110	14	,	,	PUNCT
ejpam-4353	110	15	646	646	NUM
ejpam-4353	110	16	-	-	SYM
ejpam-4353	110	17	671	671	NUM
ejpam-4353	110	18	650	650	NUM
ejpam-4353	110	19	ψ(¬ϱ	ψ(¬ϱ	NOUN
ejpam-4353	110	20	)	)	PUNCT
ejpam-4353	111	1	=	=	PUNCT
ejpam-4353	111	2			PRON
ejpam-4353	111	3	θ1(¬ϱ	θ1(¬ϱ	VERB
ejpam-4353	111	4	)	)	PUNCT
ejpam-4353	111	5	,	,	PUNCT
ejpam-4353	112	1	¬ϱ	¬ϱ	PROPN
ejpam-4353	112	2	∈	∈	PROPN
ejpam-4353	112	3	¬ς	¬ς	NOUN
ejpam-4353	112	4	−	−	NOUN
ejpam-4353	112	5	¬σ	¬σ	PROPN
ejpam-4353	112	6	,	,	PUNCT
ejpam-4353	112	7	θ2(¬ϱ	θ2(¬ϱ	NOUN
ejpam-4353	112	8	)	)	PUNCT
ejpam-4353	112	9	,	,	PUNCT
ejpam-4353	112	10	¬ϱ	¬ϱ	PROPN
ejpam-4353	112	11	∈	∈	PROPN
ejpam-4353	113	1	¬σ	¬σ	PROPN
ejpam-4353	113	2	−	−	PROPN
ejpam-4353	113	3	¬ς	¬ς	NOUN
ejpam-4353	113	4	,	,	PUNCT
ejpam-4353	113	5	θ1(¬ϱ	θ1(¬ϱ	NOUN
ejpam-4353	113	6	)	)	PUNCT
ejpam-4353	113	7	∪θ2(¬ϱ	∪θ2(¬ϱ	NOUN
ejpam-4353	113	8	)	)	PUNCT
ejpam-4353	113	9	,	,	PUNCT
ejpam-4353	113	10	¬ϱ	¬ϱ	PROPN
ejpam-4353	113	11	∈	∈	PROPN
ejpam-4353	113	12	¬ς	¬ς	NOUN
ejpam-4353	113	13	∩	∩	NOUN
ejpam-4353	113	14	¬σ	¬σ	NUM
ejpam-4353	113	15	.	.	PUNCT
ejpam-4353	114	1	it	it	PRON
ejpam-4353	114	2	is	be	AUX
ejpam-4353	114	3	denoted	denote	VERB
ejpam-4353	114	4	by	by	ADP
ejpam-4353	114	5	(	(	PUNCT
ejpam-4353	114	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	114	7	,	,	PUNCT
ejpam-4353	114	8	ς	ς	PROPN
ejpam-4353	114	9	)	)	PUNCT
ejpam-4353	114	10	˜̃∩	˜̃∩	ADV
ejpam-4353	114	11	(	(	PUNCT
ejpam-4353	114	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	114	13	,	,	PUNCT
ejpam-4353	114	14	σ	σ	NOUN
ejpam-4353	114	15	)	)	PUNCT
ejpam-4353	114	16	=	=	PUNCT
ejpam-4353	114	17	(	(	PUNCT
ejpam-4353	114	18	χ	χ	NOUN
ejpam-4353	114	19	,	,	PUNCT
ejpam-4353	114	20	ψ	ψ	NOUN
ejpam-4353	114	21	,	,	PUNCT
ejpam-4353	114	22	κ	κ	NOUN
ejpam-4353	114	23	)	)	PUNCT
ejpam-4353	114	24	.	.	PUNCT
ejpam-4353	115	1	definition	definition	NOUN
ejpam-4353	115	2	12	12	NUM
ejpam-4353	115	3	.	.	PUNCT
ejpam-4353	116	1	[	[	X
ejpam-4353	116	2	38	38	NUM
ejpam-4353	116	3	]	]	PUNCT
ejpam-4353	116	4	let	let	VERB
ejpam-4353	116	5	g̃	g̃	PROPN
ejpam-4353	116	6	be	be	AUX
ejpam-4353	116	7	the	the	DET
ejpam-4353	116	8	family	family	NOUN
ejpam-4353	116	9	of	of	ADP
ejpam-4353	116	10	soft	soft	ADJ
ejpam-4353	116	11	sets	set	NOUN
ejpam-4353	116	12	of	of	ADP
ejpam-4353	116	13	ω	ω	NOUN
ejpam-4353	116	14	,	,	PUNCT
ejpam-4353	116	15	then	then	ADV
ejpam-4353	116	16	g̃	g̃	PROPN
ejpam-4353	116	17	is	be	AUX
ejpam-4353	116	18	said	say	VERB
ejpam-4353	116	19	to	to	PART
ejpam-4353	116	20	be	be	AUX
ejpam-4353	116	21	soft	soft	ADJ
ejpam-4353	116	22	generalized	generalized	ADJ
ejpam-4353	116	23	topology	topology	NOUN
ejpam-4353	116	24	(	(	PUNCT
ejpam-4353	116	25	sgt	sgt	PROPN
ejpam-4353	116	26	)	)	PUNCT
ejpam-4353	116	27	on	on	ADP
ejpam-4353	116	28	ω	ω	NUM
ejpam-4353	116	29	if	if	SCONJ
ejpam-4353	116	30	(	(	PUNCT
ejpam-4353	116	31	i	i	NOUN
ejpam-4353	116	32	)	)	PUNCT
ejpam-4353	116	33	(	(	PUNCT
ejpam-4353	116	34	φ	φ	PROPN
ejpam-4353	116	35	,	,	PUNCT
ejpam-4353	116	36	ς	ς	NOUN
ejpam-4353	116	37	)	)	PUNCT
ejpam-4353	116	38	belong	belong	VERB
ejpam-4353	116	39	to	to	ADP
ejpam-4353	116	40	g̃.	g̃.	PROPN
ejpam-4353	116	41	(	(	PUNCT
ejpam-4353	116	42	ii	ii	NOUN
ejpam-4353	116	43	)	)	PUNCT
ejpam-4353	116	44	the	the	DET
ejpam-4353	116	45	union	union	NOUN
ejpam-4353	116	46	of	of	ADP
ejpam-4353	116	47	any	any	DET
ejpam-4353	116	48	members	member	NOUN
ejpam-4353	116	49	of	of	ADP
ejpam-4353	116	50	soft	soft	ADJ
ejpam-4353	116	51	sets	set	NOUN
ejpam-4353	116	52	in	in	ADP
ejpam-4353	116	53	g̃	g̃	PROPN
ejpam-4353	116	54	belongs	belong	VERB
ejpam-4353	116	55	to	to	ADP
ejpam-4353	116	56	g̃.	g̃.	PROPN
ejpam-4353	116	57	then	then	ADV
ejpam-4353	116	58	(	(	PUNCT
ejpam-4353	116	59	ω	ω	NOUN
ejpam-4353	116	60	,	,	PUNCT
ejpam-4353	116	61	g̃	g̃	PROPN
ejpam-4353	116	62	,	,	PUNCT
ejpam-4353	116	63	ς	ς	NOUN
ejpam-4353	116	64	)	)	PUNCT
ejpam-4353	116	65	is	be	AUX
ejpam-4353	116	66	called	call	VERB
ejpam-4353	116	67	a	a	DET
ejpam-4353	116	68	soft	soft	ADJ
ejpam-4353	116	69	generalized	generalized	ADJ
ejpam-4353	116	70	topological	topological	ADJ
ejpam-4353	116	71	space	space	NOUN
ejpam-4353	116	72	(	(	PUNCT
ejpam-4353	116	73	sgt	sgt	PROPN
ejpam-4353	116	74	s	s	PROPN
ejpam-4353	116	75	)	)	PUNCT
ejpam-4353	116	76	over	over	ADP
ejpam-4353	116	77	ω	ω	PROPN
ejpam-4353	116	78	.	.	PUNCT
ejpam-4353	117	1	every	every	DET
ejpam-4353	117	2	member	member	NOUN
ejpam-4353	117	3	of	of	ADP
ejpam-4353	117	4	g̃	g̃	PROPN
ejpam-4353	117	5	is	be	AUX
ejpam-4353	117	6	called	call	VERB
ejpam-4353	117	7	a	a	DET
ejpam-4353	117	8	soft	soft	ADJ
ejpam-4353	117	9	g̃-open	g̃-open	NOUN
ejpam-4353	117	10	set	set	NOUN
ejpam-4353	117	11	.	.	PUNCT
ejpam-4353	118	1	the	the	DET
ejpam-4353	118	2	complement	complement	NOUN
ejpam-4353	118	3	of	of	ADP
ejpam-4353	118	4	a	a	DET
ejpam-4353	118	5	soft	soft	ADJ
ejpam-4353	118	6	g̃-open	g̃-open	NOUN
ejpam-4353	118	7	set	set	NOUN
ejpam-4353	118	8	is	be	AUX
ejpam-4353	118	9	soft	soft	ADJ
ejpam-4353	118	10	g̃-closed	g̃-close	VERB
ejpam-4353	118	11	.	.	PUNCT
ejpam-4353	119	1	proposition	proposition	NOUN
ejpam-4353	119	2	1	1	NUM
ejpam-4353	119	3	.	.	PUNCT
ejpam-4353	120	1	[	[	X
ejpam-4353	120	2	38	38	NUM
ejpam-4353	120	3	]	]	PUNCT
ejpam-4353	120	4	if	if	SCONJ
ejpam-4353	120	5	(	(	PUNCT
ejpam-4353	120	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	120	7	,	,	PUNCT
ejpam-4353	120	8	ς),(θ2,λ2	ς),(θ2,λ2	NUM
ejpam-4353	120	9	,	,	PUNCT
ejpam-4353	120	10	σ	σ	PROPN
ejpam-4353	120	11	)	)	PUNCT
ejpam-4353	120	12	˜̃∈	˜̃∈	PROPN
ejpam-4353	120	13	bss(ω	bss(ω	PROPN
ejpam-4353	120	14	)	)	PUNCT
ejpam-4353	120	15	,	,	PUNCT
ejpam-4353	120	16	then	then	ADV
ejpam-4353	120	17	:	:	PUNCT
ejpam-4353	120	18	(	(	PUNCT
ejpam-4353	120	19	i	i	NOUN
ejpam-4353	120	20	)	)	PUNCT
ejpam-4353	120	21	(	(	PUNCT
ejpam-4353	120	22	(	(	PUNCT
ejpam-4353	120	23	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	120	24	,	,	PUNCT
ejpam-4353	120	25	ς	ς	PROPN
ejpam-4353	120	26	)	)	PUNCT
ejpam-4353	120	27	˜̃∪	˜̃∪	PROPN
ejpam-4353	120	28	(	(	PUNCT
ejpam-4353	120	29	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	120	30	,	,	PUNCT
ejpam-4353	120	31	σ	σ	PROPN
ejpam-4353	120	32	)	)	PUNCT
ejpam-4353	120	33	)	)	PUNCT
ejpam-4353	120	34	c	c	NOUN
ejpam-4353	120	35	=	=	SYM
ejpam-4353	120	36	(	(	PUNCT
ejpam-4353	120	37	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	120	38	,	,	PUNCT
ejpam-4353	120	39	ς	ς	NOUN
ejpam-4353	120	40	)	)	PUNCT
ejpam-4353	120	41	c	c	NOUN
ejpam-4353	120	42	˜̃∩	˜̃∩	ADP
ejpam-4353	120	43	(	(	PUNCT
ejpam-4353	120	44	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	120	45	,	,	PUNCT
ejpam-4353	120	46	σ	σ	PROPN
ejpam-4353	120	47	)	)	PUNCT
ejpam-4353	120	48	c.	c.	PROPN
ejpam-4353	120	49	(	(	PUNCT
ejpam-4353	120	50	ii	ii	PROPN
ejpam-4353	120	51	)	)	PUNCT
ejpam-4353	120	52	(	(	PUNCT
ejpam-4353	120	53	(	(	PUNCT
ejpam-4353	120	54	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	120	55	,	,	PUNCT
ejpam-4353	120	56	ς	ς	PROPN
ejpam-4353	120	57	)	)	PUNCT
ejpam-4353	120	58	˜̃∩	˜̃∩	ADV
ejpam-4353	120	59	(	(	PUNCT
ejpam-4353	120	60	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	120	61	,	,	PUNCT
ejpam-4353	120	62	σ	σ	PROPN
ejpam-4353	120	63	)	)	PUNCT
ejpam-4353	120	64	)	)	PUNCT
ejpam-4353	121	1	c	c	NOUN
ejpam-4353	121	2	=	=	SYM
ejpam-4353	121	3	(	(	PUNCT
ejpam-4353	121	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	121	5	,	,	PUNCT
ejpam-4353	121	6	ς	ς	PROPN
ejpam-4353	121	7	)	)	PUNCT
ejpam-4353	121	8	c	c	PROPN
ejpam-4353	121	9	˜̃∪	˜̃∪	PROPN
ejpam-4353	121	10	(	(	PUNCT
ejpam-4353	121	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	121	12	,	,	PUNCT
ejpam-4353	121	13	σ	σ	PROPN
ejpam-4353	121	14	)	)	PUNCT
ejpam-4353	121	15	c.	c.	PROPN
ejpam-4353	121	16	(	(	PUNCT
ejpam-4353	121	17	iii	iii	NOUN
ejpam-4353	121	18	)	)	PUNCT
ejpam-4353	121	19	(	(	PUNCT
ejpam-4353	121	20	(	(	PUNCT
ejpam-4353	121	21	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	121	22	,	,	PUNCT
ejpam-4353	121	23	ς	ς	NOUN
ejpam-4353	121	24	)	)	PUNCT
ejpam-4353	121	25	c)c	c)c	NOUN
ejpam-4353	121	26	=	=	SYM
ejpam-4353	121	27	(	(	PUNCT
ejpam-4353	121	28	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	121	29	,	,	PUNCT
ejpam-4353	121	30	ς	ς	PROPN
ejpam-4353	121	31	)	)	PUNCT
ejpam-4353	121	32	.	.	PUNCT
ejpam-4353	122	1	(	(	PUNCT
ejpam-4353	122	2	iv	iv	X
ejpam-4353	122	3	)	)	PUNCT
ejpam-4353	122	4	(	(	PUNCT
ejpam-4353	122	5	φ	φ	PROPN
ejpam-4353	122	6	,	,	PUNCT
ejpam-4353	122	7	˜̃	˜̃	NOUN
ejpam-4353	122	8	ω	ω	PROPN
ejpam-4353	122	9	,	,	PUNCT
ejpam-4353	122	10	ς	ς	PROPN
ejpam-4353	122	11	)	)	PUNCT
ejpam-4353	122	12	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	122	13	(	(	PUNCT
ejpam-4353	122	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	122	15	,	,	PUNCT
ejpam-4353	122	16	ς	ς	PROPN
ejpam-4353	122	17	)	)	PUNCT
ejpam-4353	122	18	˜̃∩	˜̃∩	ADV
ejpam-4353	122	19	(	(	PUNCT
ejpam-4353	122	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	122	21	,	,	PUNCT
ejpam-4353	122	22	σ	σ	PROPN
ejpam-4353	122	23	)	)	PUNCT
ejpam-4353	122	24	c	c	PROPN
ejpam-4353	123	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	123	2	(	(	PUNCT
ejpam-4353	123	3	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	123	4	,	,	PUNCT
ejpam-4353	123	5	ς	ς	PROPN
ejpam-4353	123	6	)	)	PUNCT
ejpam-4353	123	7	˜̃∪	˜̃∪	PROPN
ejpam-4353	123	8	(	(	PUNCT
ejpam-4353	123	9	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	123	10	,	,	PUNCT
ejpam-4353	123	11	σ	σ	PROPN
ejpam-4353	123	12	)	)	PUNCT
ejpam-4353	123	13	c	c	PROPN
ejpam-4353	123	14	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	123	15	(	(	PUNCT
ejpam-4353	123	16	˜̃	˜̃	NOUN
ejpam-4353	123	17	ω	ω	PROPN
ejpam-4353	123	18	,	,	PUNCT
ejpam-4353	123	19	φ	φ	PROPN
ejpam-4353	123	20	,	,	PUNCT
ejpam-4353	123	21	ς	ς	PROPN
ejpam-4353	123	22	)	)	PUNCT
ejpam-4353	123	23	.	.	PUNCT
ejpam-4353	124	1	definition	definition	NOUN
ejpam-4353	124	2	13	13	NUM
ejpam-4353	124	3	.	.	PUNCT
ejpam-4353	125	1	[	[	X
ejpam-4353	125	2	20	20	NUM
ejpam-4353	125	3	]	]	PUNCT
ejpam-4353	125	4	the	the	DET
ejpam-4353	125	5	bipolar	bipolar	ADJ
ejpam-4353	125	6	soft	soft	ADJ
ejpam-4353	125	7	difference	difference	NOUN
ejpam-4353	125	8	between	between	ADP
ejpam-4353	125	9	two	two	NUM
ejpam-4353	125	10	bipolar	bipolar	ADJ
ejpam-4353	125	11	soft	soft	ADJ
ejpam-4353	125	12	sets	set	NOUN
ejpam-4353	125	13	(	(	PUNCT
ejpam-4353	125	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	125	15	,	,	PUNCT
ejpam-4353	125	16	ς	ς	PROPN
ejpam-4353	125	17	)	)	PUNCT
ejpam-4353	125	18	and	and	CCONJ
ejpam-4353	125	19	(	(	PUNCT
ejpam-4353	125	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	125	21	,	,	PUNCT
ejpam-4353	125	22	σ	σ	PROPN
ejpam-4353	125	23	)	)	PUNCT
ejpam-4353	125	24	is	be	AUX
ejpam-4353	125	25	the	the	DET
ejpam-4353	125	26	bipolar	bipolar	ADJ
ejpam-4353	125	27	soft	soft	ADJ
ejpam-4353	125	28	set	set	NOUN
ejpam-4353	125	29	(	(	PUNCT
ejpam-4353	125	30	θ	θ	NOUN
ejpam-4353	125	31	,	,	PUNCT
ejpam-4353	125	32	λ	λ	PROPN
ejpam-4353	125	33	,	,	PUNCT
ejpam-4353	125	34	κ	κ	NOUN
ejpam-4353	125	35	)	)	PUNCT
ejpam-4353	125	36	where	where	SCONJ
ejpam-4353	125	37	κ	κ	NOUN
ejpam-4353	125	38	=	=	SYM
ejpam-4353	125	39	ς	ς	PROPN
ejpam-4353	125	40	∪	∪	X
ejpam-4353	125	41	σ	σ	PROPN
ejpam-4353	125	42	is	be	AUX
ejpam-4353	125	43	defined	define	VERB
ejpam-4353	125	44	as	as	ADP
ejpam-4353	125	45	(	(	PUNCT
ejpam-4353	125	46	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	125	47	,	,	PUNCT
ejpam-4353	125	48	ς	ς	NOUN
ejpam-4353	125	49	)	)	PUNCT
ejpam-4353	125	50	˜̃\	˜̃\	NOUN
ejpam-4353	125	51	(	(	PUNCT
ejpam-4353	125	52	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	125	53	,	,	PUNCT
ejpam-4353	125	54	σ	σ	NOUN
ejpam-4353	125	55	)	)	PUNCT
ejpam-4353	125	56	=	=	PRON
ejpam-4353	125	57	(	(	PUNCT
ejpam-4353	125	58	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	125	59	,	,	PUNCT
ejpam-4353	125	60	ς	ς	PROPN
ejpam-4353	125	61	)	)	PUNCT
ejpam-4353	125	62	˜̃∩	˜̃∩	ADV
ejpam-4353	125	63	(	(	PUNCT
ejpam-4353	125	64	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	125	65	,	,	PUNCT
ejpam-4353	125	66	σ	σ	PROPN
ejpam-4353	125	67	)	)	PUNCT
ejpam-4353	125	68	c.	c.	NOUN
ejpam-4353	125	69	3	3	NUM
ejpam-4353	125	70	.	.	PUNCT
ejpam-4353	125	71	main	main	ADJ
ejpam-4353	125	72	results	result	NOUN
ejpam-4353	125	73	in	in	ADP
ejpam-4353	125	74	this	this	DET
ejpam-4353	125	75	section	section	NOUN
ejpam-4353	125	76	,	,	PUNCT
ejpam-4353	125	77	we	we	PRON
ejpam-4353	125	78	introduce	introduce	VERB
ejpam-4353	125	79	the	the	DET
ejpam-4353	125	80	bipolar	bipolar	ADJ
ejpam-4353	125	81	soft	soft	ADJ
ejpam-4353	125	82	generalized	generalized	ADJ
ejpam-4353	125	83	topological	topological	ADJ
ejpam-4353	125	84	spaces	space	NOUN
ejpam-4353	125	85	and	and	CCONJ
ejpam-4353	125	86	we	we	PRON
ejpam-4353	125	87	investigate	investigate	VERB
ejpam-4353	125	88	some	some	DET
ejpam-4353	125	89	concepts	concept	NOUN
ejpam-4353	125	90	and	and	CCONJ
ejpam-4353	125	91	properties	property	NOUN
ejpam-4353	125	92	such	such	ADJ
ejpam-4353	125	93	as	as	ADP
ejpam-4353	125	94	bipolar	bipolar	ADJ
ejpam-4353	125	95	soft	soft	ADJ
ejpam-4353	125	96	˜̃g	˜̃g	NOUN
ejpam-4353	125	97	-	-	PUNCT
ejpam-4353	125	98	interior	interior	ADJ
ejpam-4353	125	99	,	,	PUNCT
ejpam-4353	125	100	bipolar	bipolar	ADJ
ejpam-4353	125	101	soft	soft	ADJ
ejpam-4353	125	102	˜̃gclosure	˜̃gclosure	NOUN
ejpam-4353	125	103	,	,	PUNCT
ejpam-4353	125	104	bipolar	bipolar	ADJ
ejpam-4353	125	105	soft	soft	ADJ
ejpam-4353	125	106	˜̃g	˜̃g	NOUN
ejpam-4353	125	107	-	-	PUNCT
ejpam-4353	125	108	exterior	exterior	ADJ
ejpam-4353	125	109	and	and	CCONJ
ejpam-4353	125	110	bipolar	bipolar	ADJ
ejpam-4353	125	111	soft	soft	ADJ
ejpam-4353	125	112	˜̃g	˜̃g	NOUN
ejpam-4353	125	113	-	-	PUNCT
ejpam-4353	125	114	boundary	boundary	NOUN
ejpam-4353	125	115	.	.	PUNCT
ejpam-4353	126	1	definition	definition	NOUN
ejpam-4353	126	2	14	14	NUM
ejpam-4353	126	3	.	.	PUNCT
ejpam-4353	127	1	let	let	VERB
ejpam-4353	127	2	˜̃g	˜̃g	PROPN
ejpam-4353	127	3	be	be	AUX
ejpam-4353	127	4	the	the	DET
ejpam-4353	127	5	collection	collection	NOUN
ejpam-4353	127	6	of	of	ADP
ejpam-4353	127	7	bipolar	bipolar	ADJ
ejpam-4353	127	8	soft	soft	ADJ
ejpam-4353	127	9	subsets	subset	NOUN
ejpam-4353	127	10	over	over	ADP
ejpam-4353	127	11	ω	ω	PROPN
ejpam-4353	127	12	,	,	PUNCT
ejpam-4353	127	13	then	then	ADV
ejpam-4353	127	14	˜̃g	˜̃g	PROPN
ejpam-4353	127	15	is	be	AUX
ejpam-4353	127	16	said	say	VERB
ejpam-4353	127	17	to	to	PART
ejpam-4353	127	18	be	be	AUX
ejpam-4353	127	19	a	a	DET
ejpam-4353	127	20	bipolar	bipolar	ADJ
ejpam-4353	127	21	soft	soft	ADJ
ejpam-4353	127	22	generalized	generalized	ADJ
ejpam-4353	127	23	topology	topology	NOUN
ejpam-4353	127	24	(	(	PUNCT
ejpam-4353	127	25	bsgt	bsgt	NOUN
ejpam-4353	127	26	)	)	PUNCT
ejpam-4353	127	27	on	on	ADP
ejpam-4353	127	28	ω	ω	NUM
ejpam-4353	127	29	if	if	SCONJ
ejpam-4353	127	30	it	it	PRON
ejpam-4353	127	31	satisfies	satisfy	VERB
ejpam-4353	127	32	the	the	DET
ejpam-4353	127	33	following	follow	VERB
ejpam-4353	127	34	conditions	condition	NOUN
ejpam-4353	127	35	:	:	PUNCT
ejpam-4353	127	36	(	(	PUNCT
ejpam-4353	127	37	i	i	NOUN
ejpam-4353	127	38	)	)	PUNCT
ejpam-4353	127	39	(	(	PUNCT
ejpam-4353	127	40	φ	φ	PROPN
ejpam-4353	127	41	,	,	PUNCT
ejpam-4353	127	42	˜̃	˜̃	NOUN
ejpam-4353	127	43	ω	ω	PROPN
ejpam-4353	127	44	,	,	PUNCT
ejpam-4353	127	45	ς	ς	PROPN
ejpam-4353	127	46	)	)	PUNCT
ejpam-4353	127	47	˜̃∈	˜̃∈	PROPN
ejpam-4353	127	48	˜̃g	˜̃g	PROPN
ejpam-4353	127	49	.	.	PUNCT
ejpam-4353	128	1	(	(	PUNCT
ejpam-4353	128	2	ii	ii	NOUN
ejpam-4353	128	3	)	)	PUNCT
ejpam-4353	128	4	if	if	SCONJ
ejpam-4353	128	5	(	(	PUNCT
ejpam-4353	128	6	θj	θj	INTJ
ejpam-4353	128	7	,	,	PUNCT
ejpam-4353	128	8	λj	λj	PROPN
ejpam-4353	128	9	,	,	PUNCT
ejpam-4353	128	10	ς	ς	PROPN
ejpam-4353	128	11	)	)	PUNCT
ejpam-4353	128	12	˜̃∈	˜̃∈	PROPN
ejpam-4353	128	13	˜̃g	˜̃g	PROPN
ejpam-4353	128	14	for	for	ADP
ejpam-4353	128	15	all	all	DET
ejpam-4353	128	16	j	j	PROPN
ejpam-4353	128	17	∈	∈	PROPN
ejpam-4353	128	18	j	j	PROPN
ejpam-4353	128	19	,	,	PUNCT
ejpam-4353	128	20	then	then	ADV
ejpam-4353	128	21	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	128	22	j∈j	j∈j	NOUN
ejpam-4353	128	23	(	(	PUNCT
ejpam-4353	128	24	θj	θj	INTJ
ejpam-4353	128	25	,	,	PUNCT
ejpam-4353	128	26	λj	λj	PROPN
ejpam-4353	128	27	,	,	PUNCT
ejpam-4353	128	28	ς	ς	PROPN
ejpam-4353	128	29	)	)	PUNCT
ejpam-4353	128	30	˜̃∈	˜̃∈	PROPN
ejpam-4353	128	31	˜̃g	˜̃g	PROPN
ejpam-4353	128	32	.	.	PUNCT
ejpam-4353	129	1	then	then	ADV
ejpam-4353	129	2	(	(	PUNCT
ejpam-4353	129	3	ω	ω	NOUN
ejpam-4353	129	4	,	,	PUNCT
ejpam-4353	129	5	˜̃g	˜̃g	PROPN
ejpam-4353	129	6	,	,	PUNCT
ejpam-4353	129	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	129	8	)	)	PUNCT
ejpam-4353	129	9	is	be	AUX
ejpam-4353	129	10	called	call	VERB
ejpam-4353	129	11	a	a	DET
ejpam-4353	129	12	bipolar	bipolar	ADJ
ejpam-4353	129	13	soft	soft	ADJ
ejpam-4353	129	14	generalized	generalized	ADJ
ejpam-4353	129	15	topological	topological	ADJ
ejpam-4353	129	16	space	space	NOUN
ejpam-4353	129	17	(	(	PUNCT
ejpam-4353	129	18	bsgt	bsgt	NOUN
ejpam-4353	129	19	s	s	NOUN
ejpam-4353	129	20	)	)	PUNCT
ejpam-4353	129	21	over	over	ADP
ejpam-4353	129	22	ω	ω	PROPN
ejpam-4353	129	23	.	.	PUNCT
ejpam-4353	130	1	h.	h.	PROPN
ejpam-4353	130	2	y.	y.	PROPN
ejpam-4353	130	3	saleh	saleh	PROPN
ejpam-4353	130	4	,	,	PUNCT
ejpam-4353	130	5	b.	b.	PROPN
ejpam-4353	130	6	a.	a.	PROPN
ejpam-4353	130	7	asaad	asaad	PROPN
ejpam-4353	130	8	,	,	PUNCT
ejpam-4353	130	9	r.	r.	PROPN
ejpam-4353	130	10	a.	a.	PROPN
ejpam-4353	130	11	mohammed	mohammed	PROPN
ejpam-4353	130	12	/	/	SYM
ejpam-4353	130	13	eur	eur	PROPN
ejpam-4353	130	14	.	.	PUNCT
ejpam-4353	131	1	j.	j.	PROPN
ejpam-4353	131	2	pure	pure	PROPN
ejpam-4353	131	3	appl	appl	PROPN
ejpam-4353	131	4	.	.	PROPN
ejpam-4353	131	5	math	math	PROPN
ejpam-4353	131	6	,	,	PUNCT
ejpam-4353	131	7	15	15	NUM
ejpam-4353	131	8	(	(	PUNCT
ejpam-4353	131	9	2	2	NUM
ejpam-4353	131	10	)	)	PUNCT
ejpam-4353	131	11	(	(	PUNCT
ejpam-4353	131	12	2022	2022	NUM
ejpam-4353	131	13	)	)	PUNCT
ejpam-4353	131	14	,	,	PUNCT
ejpam-4353	131	15	646	646	NUM
ejpam-4353	131	16	-	-	SYM
ejpam-4353	131	17	671	671	NUM
ejpam-4353	131	18	651	651	NUM
ejpam-4353	131	19	definition	definition	NOUN
ejpam-4353	131	20	15	15	NUM
ejpam-4353	131	21	.	.	PUNCT
ejpam-4353	132	1	let	let	VERB
ejpam-4353	132	2	(	(	PUNCT
ejpam-4353	132	3	ω	ω	NOUN
ejpam-4353	132	4	,	,	PUNCT
ejpam-4353	132	5	˜̃g	˜̃g	PROPN
ejpam-4353	132	6	,	,	PUNCT
ejpam-4353	132	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	132	8	)	)	PUNCT
ejpam-4353	132	9	be	be	VERB
ejpam-4353	132	10	a	a	DET
ejpam-4353	132	11	bsgt	bsgt	NOUN
ejpam-4353	132	12	s	s	PRON
ejpam-4353	132	13	,	,	PUNCT
ejpam-4353	132	14	if	if	SCONJ
ejpam-4353	132	15	˜̃g	˜̃g	PROPN
ejpam-4353	132	16	is	be	AUX
ejpam-4353	132	17	the	the	DET
ejpam-4353	132	18	collection	collection	NOUN
ejpam-4353	132	19	of	of	ADP
ejpam-4353	132	20	all	all	DET
ejpam-4353	132	21	possible	possible	ADJ
ejpam-4353	132	22	bipolar	bipolar	ADJ
ejpam-4353	132	23	soft	soft	ADJ
ejpam-4353	132	24	sets	set	NOUN
ejpam-4353	132	25	which	which	PRON
ejpam-4353	132	26	can	can	AUX
ejpam-4353	132	27	be	be	AUX
ejpam-4353	132	28	defined	define	VERB
ejpam-4353	132	29	over	over	ADP
ejpam-4353	132	30	ω	ω	PROPN
ejpam-4353	132	31	,	,	PUNCT
ejpam-4353	132	32	then	then	ADV
ejpam-4353	132	33	˜̃g	˜̃g	PROPN
ejpam-4353	132	34	is	be	AUX
ejpam-4353	132	35	called	call	VERB
ejpam-4353	132	36	the	the	DET
ejpam-4353	132	37	discrete	discrete	ADJ
ejpam-4353	132	38	bsgt	bsgt	NOUN
ejpam-4353	132	39	on	on	ADP
ejpam-4353	132	40	ω	ω	PROPN
ejpam-4353	132	41	.	.	PUNCT
ejpam-4353	133	1	definition	definition	NOUN
ejpam-4353	133	2	16	16	NUM
ejpam-4353	133	3	.	.	PUNCT
ejpam-4353	134	1	a	a	DET
ejpam-4353	134	2	bsgt	bsgt	NOUN
ejpam-4353	134	3	˜̃g	˜̃g	PROPN
ejpam-4353	134	4	is	be	AUX
ejpam-4353	134	5	said	say	VERB
ejpam-4353	134	6	to	to	PART
ejpam-4353	134	7	be	be	AUX
ejpam-4353	134	8	strong	strong	ADJ
ejpam-4353	134	9	if	if	SCONJ
ejpam-4353	134	10	(	(	PUNCT
ejpam-4353	134	11	˜̃	˜̃	NOUN
ejpam-4353	134	12	ω	ω	PROPN
ejpam-4353	134	13	,	,	PUNCT
ejpam-4353	134	14	φ	φ	PROPN
ejpam-4353	134	15	,	,	PUNCT
ejpam-4353	134	16	ς	ς	PROPN
ejpam-4353	134	17	)	)	PUNCT
ejpam-4353	134	18	˜̃∈	˜̃∈	PROPN
ejpam-4353	134	19	˜̃g	˜̃g	PROPN
ejpam-4353	134	20	.	.	PUNCT
ejpam-4353	135	1	definition	definition	NOUN
ejpam-4353	135	2	17	17	NUM
ejpam-4353	135	3	.	.	PUNCT
ejpam-4353	136	1	let	let	VERB
ejpam-4353	136	2	(	(	PUNCT
ejpam-4353	136	3	ω	ω	NOUN
ejpam-4353	136	4	,	,	PUNCT
ejpam-4353	136	5	˜̃g	˜̃g	PROPN
ejpam-4353	136	6	,	,	PUNCT
ejpam-4353	136	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	136	8	)	)	PUNCT
ejpam-4353	136	9	be	be	VERB
ejpam-4353	136	10	a	a	DET
ejpam-4353	136	11	bsgt	bsgt	NOUN
ejpam-4353	136	12	s	s	PRON
ejpam-4353	136	13	,	,	PUNCT
ejpam-4353	136	14	then	then	ADV
ejpam-4353	136	15	the	the	DET
ejpam-4353	136	16	members	member	NOUN
ejpam-4353	136	17	of	of	ADP
ejpam-4353	136	18	˜̃g	˜̃g	PROPN
ejpam-4353	136	19	are	be	AUX
ejpam-4353	136	20	said	say	VERB
ejpam-4353	136	21	to	to	PART
ejpam-4353	136	22	be	be	AUX
ejpam-4353	136	23	bipolar	bipolar	ADJ
ejpam-4353	136	24	soft	soft	ADJ
ejpam-4353	136	25	˜̃g	˜̃g	NOUN
ejpam-4353	136	26	-	-	PUNCT
ejpam-4353	136	27	open	open	ADJ
ejpam-4353	136	28	sets	set	NOUN
ejpam-4353	136	29	in	in	ADP
ejpam-4353	136	30	ω	ω	PROPN
ejpam-4353	136	31	.	.	PUNCT
ejpam-4353	137	1	clearly	clearly	ADV
ejpam-4353	137	2	(	(	PUNCT
ejpam-4353	137	3	φ	φ	PROPN
ejpam-4353	137	4	,	,	PUNCT
ejpam-4353	137	5	˜̃	˜̃	NOUN
ejpam-4353	137	6	ω	ω	PROPN
ejpam-4353	137	7	,	,	PUNCT
ejpam-4353	137	8	ς	ς	NOUN
ejpam-4353	137	9	)	)	PUNCT
ejpam-4353	137	10	is	be	AUX
ejpam-4353	137	11	bipolar	bipolar	ADJ
ejpam-4353	137	12	soft	soft	ADJ
ejpam-4353	137	13	˜̃g	˜̃g	NOUN
ejpam-4353	137	14	-	-	PUNCT
ejpam-4353	137	15	open	open	ADJ
ejpam-4353	137	16	.	.	PUNCT
ejpam-4353	138	1	definition	definition	NOUN
ejpam-4353	138	2	18	18	NUM
ejpam-4353	138	3	.	.	PUNCT
ejpam-4353	139	1	let	let	VERB
ejpam-4353	139	2	(	(	PUNCT
ejpam-4353	139	3	ω	ω	NOUN
ejpam-4353	139	4	,	,	PUNCT
ejpam-4353	139	5	˜̃g1	˜̃g1	PROPN
ejpam-4353	139	6	,	,	PUNCT
ejpam-4353	139	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	139	8	)	)	PUNCT
ejpam-4353	139	9	and	and	CCONJ
ejpam-4353	139	10	let	let	VERB
ejpam-4353	139	11	(	(	PUNCT
ejpam-4353	139	12	ω	ω	NOUN
ejpam-4353	139	13	,	,	PUNCT
ejpam-4353	139	14	˜̃g2	˜̃g2	PROPN
ejpam-4353	139	15	,	,	PUNCT
ejpam-4353	139	16	ς,¬ς	ς,¬ς	NUM
ejpam-4353	139	17	)	)	PUNCT
ejpam-4353	139	18	be	be	VERB
ejpam-4353	139	19	a	a	DET
ejpam-4353	139	20	bsgt	bsgt	NOUN
ejpam-4353	139	21	ss	ss	NOUN
ejpam-4353	139	22	.	.	PUNCT
ejpam-4353	140	1	then	then	ADV
ejpam-4353	140	2	:	:	PUNCT
ejpam-4353	140	3	(	(	PUNCT
ejpam-4353	140	4	i	i	NOUN
ejpam-4353	140	5	)	)	PUNCT
ejpam-4353	140	6	if	if	SCONJ
ejpam-4353	140	7	˜̃g1	˜̃g1	PROPN
ejpam-4353	140	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	140	9	˜̃g2	˜̃g2	PROPN
ejpam-4353	140	10	then	then	ADV
ejpam-4353	140	11	˜̃g2	˜̃g2	PROPN
ejpam-4353	140	12	is	be	AUX
ejpam-4353	140	13	bipolar	bipolar	ADJ
ejpam-4353	140	14	soft	soft	ADJ
ejpam-4353	140	15	finer	fine	ADJ
ejpam-4353	140	16	than	than	ADP
ejpam-4353	140	17	˜̃g1	˜̃g1	PROPN
ejpam-4353	140	18	.	.	PUNCT
ejpam-4353	141	1	(	(	PUNCT
ejpam-4353	141	2	ii	ii	NOUN
ejpam-4353	141	3	)	)	PUNCT
ejpam-4353	141	4	if	if	SCONJ
ejpam-4353	141	5	either	either	CCONJ
ejpam-4353	141	6	˜̃g1	˜̃g1	PROPN
ejpam-4353	141	7	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	141	8	˜̃g2	˜̃g2	PROPN
ejpam-4353	141	9	or	or	CCONJ
ejpam-4353	141	10	˜̃g2	˜̃g2	PROPN
ejpam-4353	141	11	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	141	12	˜̃g1	˜̃g1	PROPN
ejpam-4353	141	13	,	,	PUNCT
ejpam-4353	141	14	then	then	ADV
ejpam-4353	141	15	˜̃g1	˜̃g1	PROPN
ejpam-4353	141	16	is	be	AUX
ejpam-4353	141	17	bipolar	bipolar	ADJ
ejpam-4353	141	18	soft	soft	ADJ
ejpam-4353	141	19	comparable	comparable	ADJ
ejpam-4353	141	20	with	with	ADP
ejpam-4353	141	21	˜̃g2	˜̃g2	PROPN
ejpam-4353	141	22	.	.	PUNCT
ejpam-4353	141	23	example	example	NOUN
ejpam-4353	142	1	1	1	NUM
ejpam-4353	142	2	.	.	PUNCT
ejpam-4353	142	3	let	let	VERB
ejpam-4353	142	4	ω	ω	NOUN
ejpam-4353	142	5	=	=	SYM
ejpam-4353	142	6	{	{	PUNCT
ejpam-4353	142	7	ω1	ω1	PROPN
ejpam-4353	142	8	,	,	PUNCT
ejpam-4353	142	9	ω2	ω2	ADJ
ejpam-4353	142	10	,	,	PUNCT
ejpam-4353	142	11	ω3	ω3	NOUN
ejpam-4353	142	12	,	,	PUNCT
ejpam-4353	142	13	ω4	ω4	NUM
ejpam-4353	142	14	,	,	PUNCT
ejpam-4353	142	15	ω5	ω5	PROPN
ejpam-4353	142	16	,	,	PUNCT
ejpam-4353	142	17	ω6	ω6	PROPN
ejpam-4353	142	18	,	,	PUNCT
ejpam-4353	142	19	ω7	ω7	NOUN
ejpam-4353	142	20	,	,	PUNCT
ejpam-4353	142	21	ω8	ω8	NOUN
ejpam-4353	142	22	}	}	PUNCT
ejpam-4353	142	23	be	be	VERB
ejpam-4353	142	24	the	the	DET
ejpam-4353	142	25	universal	universal	ADJ
ejpam-4353	142	26	set	set	NOUN
ejpam-4353	142	27	which	which	PRON
ejpam-4353	142	28	are	be	AUX
ejpam-4353	142	29	eight	eight	NUM
ejpam-4353	142	30	categories	category	NOUN
ejpam-4353	142	31	of	of	ADP
ejpam-4353	142	32	people	people	NOUN
ejpam-4353	142	33	that	that	PRON
ejpam-4353	142	34	are	be	AUX
ejpam-4353	142	35	living	live	VERB
ejpam-4353	142	36	in	in	ADP
ejpam-4353	142	37	duhok	duhok	NOUN
ejpam-4353	142	38	city	city	NOUN
ejpam-4353	142	39	.	.	PUNCT
ejpam-4353	143	1	it	it	PRON
ejpam-4353	143	2	can	can	AUX
ejpam-4353	143	3	be	be	AUX
ejpam-4353	143	4	defined	define	VERB
ejpam-4353	143	5	by	by	ADP
ejpam-4353	143	6	:	:	PUNCT
ejpam-4353	143	7	ω	ω	NUM
ejpam-4353	143	8	=	=	NOUN
ejpam-4353	143	9	{	{	PUNCT
ejpam-4353	143	10	syrianrefugees	syrianrefugee	NOUN
ejpam-4353	143	11	,	,	PUNCT
ejpam-4353	143	12	turkishrefugees	turkishrefugee	NOUN
ejpam-4353	143	13	,	,	PUNCT
ejpam-4353	143	14	iranianrefugees	iranianrefugee	NOUN
ejpam-4353	143	15	,	,	PUNCT
ejpam-4353	143	16	hostcommunity	hostcommunity	NOUN
ejpam-4353	143	17	,	,	PUNCT
ejpam-4353	143	18	idps	idps	NOUN
ejpam-4353	143	19	,	,	PUNCT
ejpam-4353	143	20	residents	resident	NOUN
ejpam-4353	143	21	,	,	PUNCT
ejpam-4353	143	22	returnees	returnee	NOUN
ejpam-4353	143	23	,	,	PUNCT
ejpam-4353	143	24	foreigners	foreigner	NOUN
ejpam-4353	143	25	}	}	PUNCT
ejpam-4353	143	26	.	.	PUNCT
ejpam-4353	144	1	let	let	VERB
ejpam-4353	144	2	ς	ς	PROPN
ejpam-4353	144	3	=	=	PUNCT
ejpam-4353	144	4	{	{	PUNCT
ejpam-4353	144	5	ϱ1	ϱ1	PROPN
ejpam-4353	144	6	,	,	PUNCT
ejpam-4353	144	7	ϱ2	ϱ2	NOUN
ejpam-4353	144	8	,	,	PUNCT
ejpam-4353	144	9	ϱ3	ϱ3	NOUN
ejpam-4353	144	10	,	,	PUNCT
ejpam-4353	144	11	ϱ4	ϱ4	NOUN
ejpam-4353	144	12	,	,	PUNCT
ejpam-4353	144	13	ϱ5	ϱ5	PROPN
ejpam-4353	144	14	,	,	PUNCT
ejpam-4353	144	15	ϱ6	ϱ6	NOUN
ejpam-4353	144	16	,	,	PUNCT
ejpam-4353	144	17	ϱ7	ϱ7	NOUN
ejpam-4353	144	18	,	,	PUNCT
ejpam-4353	144	19	ϱ8	ϱ8	PROPN
ejpam-4353	144	20	}	}	PUNCT
ejpam-4353	144	21	be	be	AUX
ejpam-4353	144	22	the	the	DET
ejpam-4353	144	23	set	set	NOUN
ejpam-4353	144	24	of	of	ADP
ejpam-4353	144	25	parameters	parameter	NOUN
ejpam-4353	144	26	,	,	PUNCT
ejpam-4353	144	27	where	where	SCONJ
ejpam-4353	144	28	ϱi	ϱi	VERB
ejpam-4353	144	29	,	,	PUNCT
ejpam-4353	144	30	i	i	NOUN
ejpam-4353	144	31	=	=	NOUN
ejpam-4353	144	32	1	1	NUM
ejpam-4353	144	33	,	,	PUNCT
ejpam-4353	144	34	2	2	NUM
ejpam-4353	144	35	,	,	PUNCT
ejpam-4353	144	36	...	...	PUNCT
ejpam-4353	144	37	7	7	NUM
ejpam-4353	144	38	,	,	PUNCT
ejpam-4353	144	39	8	8	NUM
ejpam-4353	144	40	,	,	PUNCT
ejpam-4353	144	41	stands	stand	VERB
ejpam-4353	144	42	for	for	ADP
ejpam-4353	144	43	parameters	parameter	NOUN
ejpam-4353	144	44	”	"	PUNCT
ejpam-4353	144	45	hard	hard	ADV
ejpam-4353	144	46	working	work	VERB
ejpam-4353	144	47	”	"	PUNCT
ejpam-4353	144	48	,	,	PUNCT
ejpam-4353	144	49	”	"	PUNCT
ejpam-4353	144	50	negligent	negligent	ADJ
ejpam-4353	144	51	”	"	PUNCT
ejpam-4353	144	52	,	,	PUNCT
ejpam-4353	144	53	”	"	PUNCT
ejpam-4353	144	54	flexibility	flexibility	NOUN
ejpam-4353	144	55	”	"	PUNCT
ejpam-4353	144	56	,	,	PUNCT
ejpam-4353	144	57	”	"	PUNCT
ejpam-4353	144	58	rigidity	rigidity	NOUN
ejpam-4353	144	59	”	"	PUNCT
ejpam-4353	144	60	,	,	PUNCT
ejpam-4353	144	61	”	"	PUNCT
ejpam-4353	144	62	self	self	NOUN
ejpam-4353	144	63	-	-	PUNCT
ejpam-4353	144	64	confidence	confidence	NOUN
ejpam-4353	144	65	”	"	PUNCT
ejpam-4353	144	66	,	,	PUNCT
ejpam-4353	144	67	”	"	PUNCT
ejpam-4353	144	68	shyness	shyness	NOUN
ejpam-4353	144	69	”	"	PUNCT
ejpam-4353	144	70	,	,	PUNCT
ejpam-4353	144	71	”	"	PUNCT
ejpam-4353	144	72	skillful	skillful	ADJ
ejpam-4353	144	73	”	"	PUNCT
ejpam-4353	144	74	and	and	CCONJ
ejpam-4353	144	75	”	"	PUNCT
ejpam-4353	144	76	unskillful	unskillful	ADJ
ejpam-4353	144	77	”	"	PUNCT
ejpam-4353	144	78	respectively	respectively	ADV
ejpam-4353	144	79	.	.	PUNCT
ejpam-4353	145	1	it	it	PRON
ejpam-4353	145	2	is	be	AUX
ejpam-4353	145	3	regarded	regard	VERB
ejpam-4353	145	4	as	as	ADP
ejpam-4353	145	5	positive	positive	ADJ
ejpam-4353	145	6	description	description	NOUN
ejpam-4353	145	7	and	and	CCONJ
ejpam-4353	145	8	non	non	ADJ
ejpam-4353	145	9	positive	positive	ADJ
ejpam-4353	145	10	description	description	NOUN
ejpam-4353	145	11	which	which	PRON
ejpam-4353	145	12	belong	belong	VERB
ejpam-4353	145	13	to	to	ADP
ejpam-4353	145	14	each	each	DET
ejpam-4353	145	15	category	category	NOUN
ejpam-4353	145	16	.	.	PUNCT
ejpam-4353	146	1	the	the	DET
ejpam-4353	146	2	eight	eight	NUM
ejpam-4353	146	3	categories	category	NOUN
ejpam-4353	146	4	of	of	ADP
ejpam-4353	146	5	people	people	NOUN
ejpam-4353	146	6	wish	wish	VERB
ejpam-4353	146	7	to	to	PART
ejpam-4353	146	8	find	find	VERB
ejpam-4353	146	9	a	a	DET
ejpam-4353	146	10	job	job	NOUN
ejpam-4353	146	11	,	,	PUNCT
ejpam-4353	146	12	to	to	PART
ejpam-4353	146	13	employ	employ	VERB
ejpam-4353	146	14	in	in	ADP
ejpam-4353	146	15	government	government	NOUN
ejpam-4353	146	16	institute	institute	NOUN
ejpam-4353	146	17	or	or	CCONJ
ejpam-4353	146	18	work	work	VERB
ejpam-4353	146	19	in	in	ADP
ejpam-4353	146	20	a	a	DET
ejpam-4353	146	21	company	company	NOUN
ejpam-4353	146	22	in	in	ADP
ejpam-4353	146	23	duhok	duhok	NOUN
ejpam-4353	146	24	city	city	NOUN
ejpam-4353	146	25	.	.	PUNCT
ejpam-4353	147	1	now	now	ADV
ejpam-4353	147	2	,	,	PUNCT
ejpam-4353	147	3	we	we	PRON
ejpam-4353	147	4	can	can	AUX
ejpam-4353	147	5	divide	divide	VERB
ejpam-4353	147	6	the	the	DET
ejpam-4353	147	7	set	set	NOUN
ejpam-4353	147	8	ς	ς	PROPN
ejpam-4353	147	9	into	into	ADP
ejpam-4353	147	10	two	two	NUM
ejpam-4353	147	11	parts	part	NOUN
ejpam-4353	147	12	ς1	ς1	NOUN
ejpam-4353	147	13	=	=	SYM
ejpam-4353	147	14	{	{	PUNCT
ejpam-4353	147	15	ϱ1	ϱ1	NOUN
ejpam-4353	147	16	,	,	PUNCT
ejpam-4353	147	17	ϱ3	ϱ3	NOUN
ejpam-4353	147	18	,	,	PUNCT
ejpam-4353	147	19	ϱ5	ϱ5	NOUN
ejpam-4353	147	20	,	,	PUNCT
ejpam-4353	147	21	ϱ7	ϱ7	NOUN
ejpam-4353	147	22	}	}	PUNCT
ejpam-4353	147	23	and	and	CCONJ
ejpam-4353	147	24	ς2	ς2	PROPN
ejpam-4353	147	25	=	=	SYM
ejpam-4353	147	26	{	{	PUNCT
ejpam-4353	147	27	ϱ2	ϱ2	NOUN
ejpam-4353	147	28	,	,	PUNCT
ejpam-4353	147	29	ϱ4	ϱ4	NOUN
ejpam-4353	147	30	,	,	PUNCT
ejpam-4353	147	31	ϱ6	ϱ6	NOUN
ejpam-4353	147	32	,	,	PUNCT
ejpam-4353	147	33	ϱ8	ϱ8	PROPN
ejpam-4353	147	34	}	}	PUNCT
ejpam-4353	147	35	and	and	CCONJ
ejpam-4353	147	36	the	the	DET
ejpam-4353	147	37	bijective	bijective	ADJ
ejpam-4353	147	38	function	function	NOUN
ejpam-4353	147	39	f	f	NOUN
ejpam-4353	147	40	:	:	PUNCT
ejpam-4353	147	41	ς1	ς1	NOUN
ejpam-4353	147	42	→	→	SYM
ejpam-4353	147	43	ς2	ς2	PROPN
ejpam-4353	147	44	can	can	AUX
ejpam-4353	147	45	be	be	AUX
ejpam-4353	147	46	defined	define	VERB
ejpam-4353	147	47	as	as	ADP
ejpam-4353	147	48	f(ϱi	f(ϱi	NUM
ejpam-4353	147	49	)	)	PUNCT
ejpam-4353	147	50	=	=	PUNCT
ejpam-4353	148	1	¬ϱi	¬ϱi	ADJ
ejpam-4353	148	2	=	=	PUNCT
ejpam-4353	148	3	ϱi+1	ϱi+1	PROPN
ejpam-4353	148	4	for	for	ADP
ejpam-4353	148	5	i	i	PRON
ejpam-4353	148	6	=	=	NOUN
ejpam-4353	148	7	1	1	NUM
ejpam-4353	148	8	,	,	PUNCT
ejpam-4353	148	9	3	3	NUM
ejpam-4353	148	10	,	,	PUNCT
ejpam-4353	148	11	5	5	NUM
ejpam-4353	148	12	,	,	PUNCT
ejpam-4353	148	13	7	7	NUM
ejpam-4353	148	14	.	.	PUNCT
ejpam-4353	149	1	here	here	ADV
ejpam-4353	149	2	the	the	DET
ejpam-4353	149	3	notion	notion	NOUN
ejpam-4353	149	4	¬ϱi	¬ϱi	PROPN
ejpam-4353	149	5	means	mean	VERB
ejpam-4353	149	6	not	not	PART
ejpam-4353	149	7	ϱi	ϱi	VERB
ejpam-4353	149	8	for	for	ADP
ejpam-4353	149	9	all	all	PRON
ejpam-4353	149	10	i	i	PRON
ejpam-4353	149	11	=	=	NOUN
ejpam-4353	149	12	1	1	NUM
ejpam-4353	149	13	,	,	PUNCT
ejpam-4353	149	14	3	3	NUM
ejpam-4353	149	15	,	,	PUNCT
ejpam-4353	149	16	5	5	NUM
ejpam-4353	149	17	,	,	PUNCT
ejpam-4353	149	18	7	7	NUM
ejpam-4353	149	19	.	.	PUNCT
ejpam-4353	150	1	now	now	ADV
ejpam-4353	150	2	,	,	PUNCT
ejpam-4353	150	3	we	we	PRON
ejpam-4353	150	4	can	can	AUX
ejpam-4353	150	5	describe	describe	VERB
ejpam-4353	150	6	the	the	DET
ejpam-4353	150	7	following	follow	VERB
ejpam-4353	150	8	bsgt	bsgt	NOUN
ejpam-4353	150	9	s	s	PRON
ejpam-4353	150	10	˜̃g	˜̃g	NOUN
ejpam-4353	150	11	=	=	SYM
ejpam-4353	150	12	{	{	PUNCT
ejpam-4353	150	13	(	(	PUNCT
ejpam-4353	150	14	φ	φ	PROPN
ejpam-4353	150	15	,	,	PUNCT
ejpam-4353	150	16	˜̃ω	˜̃ω	PROPN
ejpam-4353	150	17	,	,	PUNCT
ejpam-4353	150	18	ς	ς	PROPN
ejpam-4353	150	19	)	)	PUNCT
ejpam-4353	150	20	,	,	PUNCT
ejpam-4353	150	21	(	(	PUNCT
ejpam-4353	150	22	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	150	23	,	,	PUNCT
ejpam-4353	150	24	ς	ς	PROPN
ejpam-4353	150	25	)	)	PUNCT
ejpam-4353	150	26	,	,	PUNCT
ejpam-4353	150	27	(	(	PUNCT
ejpam-4353	150	28	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	150	29	,	,	PUNCT
ejpam-4353	150	30	ς	ς	NOUN
ejpam-4353	150	31	)	)	PUNCT
ejpam-4353	150	32	,	,	PUNCT
ejpam-4353	150	33	(	(	PUNCT
ejpam-4353	150	34	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	150	35	,	,	PUNCT
ejpam-4353	150	36	ς	ς	NOUN
ejpam-4353	150	37	)	)	PUNCT
ejpam-4353	150	38	}	}	PUNCT
ejpam-4353	150	39	offers	offer	VERB
ejpam-4353	150	40	to	to	PART
ejpam-4353	150	41	select	select	VERB
ejpam-4353	150	42	some	some	DET
ejpam-4353	150	43	workers	worker	NOUN
ejpam-4353	150	44	and	and	CCONJ
ejpam-4353	150	45	employ	employ	VERB
ejpam-4353	150	46	them	they	PRON
ejpam-4353	150	47	in	in	ADP
ejpam-4353	150	48	tourism	tourism	NOUN
ejpam-4353	150	49	companies	company	NOUN
ejpam-4353	150	50	in	in	ADP
ejpam-4353	150	51	duhok	duhok	NOUN
ejpam-4353	150	52	city	city	PROPN
ejpam-4353	150	53	,	,	PUNCT
ejpam-4353	150	54	where	where	SCONJ
ejpam-4353	150	55	(	(	PUNCT
ejpam-4353	150	56	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	150	57	,	,	PUNCT
ejpam-4353	150	58	ς	ς	NOUN
ejpam-4353	150	59	)	)	PUNCT
ejpam-4353	150	60	=	=	NOUN
ejpam-4353	150	61	{	{	PUNCT
ejpam-4353	150	62	(	(	PUNCT
ejpam-4353	150	63	ϱ1	ϱ1	NOUN
ejpam-4353	150	64	,	,	PUNCT
ejpam-4353	150	65	{	{	PUNCT
ejpam-4353	150	66	ω1	ω1	PROPN
ejpam-4353	150	67	,	,	PUNCT
ejpam-4353	150	68	ω3	ω3	NOUN
ejpam-4353	150	69	,	,	PUNCT
ejpam-4353	150	70	ω4	ω4	NUM
ejpam-4353	150	71	}	}	PUNCT
ejpam-4353	150	72	,	,	PUNCT
ejpam-4353	150	73	{	{	PUNCT
ejpam-4353	150	74	ω2	ω2	ADV
ejpam-4353	150	75	,	,	PUNCT
ejpam-4353	150	76	ω6	ω6	PROPN
ejpam-4353	150	77	}	}	PUNCT
ejpam-4353	150	78	)	)	PUNCT
ejpam-4353	150	79	,	,	PUNCT
ejpam-4353	150	80	(	(	PUNCT
ejpam-4353	150	81	ϱ3	ϱ3	PROPN
ejpam-4353	150	82	,	,	PUNCT
ejpam-4353	150	83	{	{	PUNCT
ejpam-4353	150	84	ω2	ω2	ADJ
ejpam-4353	150	85	,	,	PUNCT
ejpam-4353	150	86	ω5	ω5	NOUN
ejpam-4353	150	87	,	,	PUNCT
ejpam-4353	150	88	ω7	ω7	NOUN
ejpam-4353	150	89	}	}	PUNCT
ejpam-4353	150	90	,	,	PUNCT
ejpam-4353	150	91	{	{	PUNCT
ejpam-4353	150	92	ω1	ω1	PROPN
ejpam-4353	150	93	,	,	PUNCT
ejpam-4353	150	94	ω3	ω3	NOUN
ejpam-4353	150	95	,	,	PUNCT
ejpam-4353	150	96	ω8	ω8	NOUN
ejpam-4353	150	97	}	}	PUNCT
ejpam-4353	150	98	)	)	PUNCT
ejpam-4353	150	99	,	,	PUNCT
ejpam-4353	150	100	(	(	PUNCT
ejpam-4353	150	101	ϱ5	ϱ5	PROPN
ejpam-4353	150	102	,	,	PUNCT
ejpam-4353	150	103	{	{	PUNCT
ejpam-4353	150	104	ω3	ω3	NOUN
ejpam-4353	150	105	,	,	PUNCT
ejpam-4353	150	106	ω4	ω4	NUM
ejpam-4353	150	107	}	}	PUNCT
ejpam-4353	150	108	,	,	PUNCT
ejpam-4353	150	109	{	{	PUNCT
ejpam-4353	150	110	ω1	ω1	PROPN
ejpam-4353	150	111	,	,	PUNCT
ejpam-4353	150	112	ω2	ω2	NUM
ejpam-4353	150	113	,	,	PUNCT
ejpam-4353	150	114	ω5	ω5	NOUN
ejpam-4353	150	115	,	,	PUNCT
ejpam-4353	150	116	ω8	ω8	NOUN
ejpam-4353	150	117	}	}	PUNCT
ejpam-4353	150	118	)	)	PUNCT
ejpam-4353	150	119	,	,	PUNCT
ejpam-4353	150	120	(	(	PUNCT
ejpam-4353	150	121	ϱ7	ϱ7	NOUN
ejpam-4353	150	122	,	,	PUNCT
ejpam-4353	150	123	{	{	PUNCT
ejpam-4353	150	124	ω5	ω5	PROPN
ejpam-4353	150	125	,	,	PUNCT
ejpam-4353	150	126	ω6	ω6	PROPN
ejpam-4353	150	127	,	,	PUNCT
ejpam-4353	150	128	ω7	ω7	NOUN
ejpam-4353	150	129	,	,	PUNCT
ejpam-4353	150	130	ω8	ω8	NOUN
ejpam-4353	150	131	}	}	PUNCT
ejpam-4353	150	132	,	,	PUNCT
ejpam-4353	150	133	{	{	PUNCT
ejpam-4353	150	134	ω2	ω2	ADJ
ejpam-4353	150	135	,	,	PUNCT
ejpam-4353	150	136	ω3	ω3	NOUN
ejpam-4353	150	137	}	}	PUNCT
ejpam-4353	150	138	)	)	PUNCT
ejpam-4353	150	139	}	}	PUNCT
ejpam-4353	150	140	,	,	PUNCT
ejpam-4353	150	141	(	(	PUNCT
ejpam-4353	150	142	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	150	143	,	,	PUNCT
ejpam-4353	150	144	ς	ς	NOUN
ejpam-4353	150	145	)	)	PUNCT
ejpam-4353	150	146	=	=	NOUN
ejpam-4353	150	147	{	{	PUNCT
ejpam-4353	150	148	(	(	PUNCT
ejpam-4353	150	149	ϱ1	ϱ1	NOUN
ejpam-4353	150	150	,	,	PUNCT
ejpam-4353	150	151	{	{	PUNCT
ejpam-4353	150	152	ω1	ω1	PROPN
ejpam-4353	150	153	,	,	PUNCT
ejpam-4353	150	154	ω2	ω2	ADJ
ejpam-4353	150	155	,	,	PUNCT
ejpam-4353	150	156	ω4	ω4	NUM
ejpam-4353	150	157	}	}	PUNCT
ejpam-4353	150	158	,	,	PUNCT
ejpam-4353	150	159	{	{	PUNCT
ejpam-4353	150	160	ω3	ω3	NOUN
ejpam-4353	150	161	,	,	PUNCT
ejpam-4353	150	162	ω5	ω5	PROPN
ejpam-4353	150	163	,	,	PUNCT
ejpam-4353	150	164	ω6	ω6	PROPN
ejpam-4353	150	165	,	,	PUNCT
ejpam-4353	150	166	ω7	ω7	NOUN
ejpam-4353	150	167	}	}	PUNCT
ejpam-4353	150	168	)	)	PUNCT
ejpam-4353	150	169	,	,	PUNCT
ejpam-4353	150	170	(	(	PUNCT
ejpam-4353	150	171	ϱ3	ϱ3	PROPN
ejpam-4353	150	172	,	,	PUNCT
ejpam-4353	150	173	{	{	PUNCT
ejpam-4353	150	174	ω2	ω2	ADJ
ejpam-4353	150	175	,	,	PUNCT
ejpam-4353	150	176	ω5	ω5	PROPN
ejpam-4353	150	177	}	}	PUNCT
ejpam-4353	150	178	,	,	PUNCT
ejpam-4353	150	179	{	{	PUNCT
ejpam-4353	150	180	ω1	ω1	PROPN
ejpam-4353	150	181	,	,	PUNCT
ejpam-4353	150	182	ω3	ω3	PROPN
ejpam-4353	150	183	,	,	PUNCT
ejpam-4353	150	184	ω4	ω4	NUM
ejpam-4353	150	185	,	,	PUNCT
ejpam-4353	150	186	ω8	ω8	NOUN
ejpam-4353	150	187	}	}	PUNCT
ejpam-4353	150	188	)	)	PUNCT
ejpam-4353	150	189	,	,	PUNCT
ejpam-4353	150	190	(	(	PUNCT
ejpam-4353	150	191	ϱ5	ϱ5	PROPN
ejpam-4353	150	192	,	,	PUNCT
ejpam-4353	150	193	{	{	PUNCT
ejpam-4353	150	194	ω1	ω1	PROPN
ejpam-4353	150	195	,	,	PUNCT
ejpam-4353	150	196	ω3	ω3	NOUN
ejpam-4353	150	197	,	,	PUNCT
ejpam-4353	150	198	ω4	ω4	NUM
ejpam-4353	150	199	}	}	PUNCT
ejpam-4353	150	200	,	,	PUNCT
ejpam-4353	150	201	{	{	PUNCT
ejpam-4353	150	202	ω2	ω2	ADJ
ejpam-4353	150	203	,	,	PUNCT
ejpam-4353	150	204	ω5	ω5	NOUN
ejpam-4353	150	205	,	,	PUNCT
ejpam-4353	150	206	ω7	ω7	NOUN
ejpam-4353	150	207	,	,	PUNCT
ejpam-4353	150	208	ω8	ω8	NOUN
ejpam-4353	150	209	}	}	PUNCT
ejpam-4353	150	210	)	)	PUNCT
ejpam-4353	150	211	,	,	PUNCT
ejpam-4353	150	212	(	(	PUNCT
ejpam-4353	150	213	ϱ7	ϱ7	NOUN
ejpam-4353	150	214	,	,	PUNCT
ejpam-4353	150	215	{	{	PUNCT
ejpam-4353	150	216	ω5	ω5	X
ejpam-4353	150	217	}	}	PUNCT
ejpam-4353	150	218	,	,	PUNCT
ejpam-4353	150	219	{	{	PUNCT
ejpam-4353	150	220	ω2	ω2	ADJ
ejpam-4353	150	221	,	,	PUNCT
ejpam-4353	150	222	ω3	ω3	PROPN
ejpam-4353	150	223	,	,	PUNCT
ejpam-4353	150	224	ω4})}and	ω4})}and	PROPN
ejpam-4353	150	225	(	(	PUNCT
ejpam-4353	150	226	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	150	227	,	,	PUNCT
ejpam-4353	150	228	ς	ς	NOUN
ejpam-4353	150	229	)	)	PUNCT
ejpam-4353	150	230	=	=	NOUN
ejpam-4353	150	231	{	{	PUNCT
ejpam-4353	150	232	(	(	PUNCT
ejpam-4353	150	233	ϱ1	ϱ1	NOUN
ejpam-4353	150	234	,	,	PUNCT
ejpam-4353	150	235	{	{	PUNCT
ejpam-4353	150	236	ω1	ω1	PROPN
ejpam-4353	150	237	,	,	PUNCT
ejpam-4353	150	238	ω2	ω2	ADJ
ejpam-4353	150	239	,	,	PUNCT
ejpam-4353	150	240	ω3	ω3	NOUN
ejpam-4353	150	241	,	,	PUNCT
ejpam-4353	150	242	ω4	ω4	NUM
ejpam-4353	150	243	}	}	PUNCT
ejpam-4353	150	244	,	,	PUNCT
ejpam-4353	150	245	{	{	PUNCT
ejpam-4353	150	246	ω6	ω6	NOUN
ejpam-4353	150	247	}	}	PUNCT
ejpam-4353	150	248	)	)	PUNCT
ejpam-4353	150	249	,	,	PUNCT
ejpam-4353	150	250	(	(	PUNCT
ejpam-4353	150	251	ϱ3	ϱ3	PROPN
ejpam-4353	150	252	,	,	PUNCT
ejpam-4353	150	253	{	{	PUNCT
ejpam-4353	150	254	ω2	ω2	ADJ
ejpam-4353	150	255	,	,	PUNCT
ejpam-4353	150	256	ω5	ω5	NOUN
ejpam-4353	150	257	,	,	PUNCT
ejpam-4353	150	258	ω7	ω7	NOUN
ejpam-4353	150	259	}	}	PUNCT
ejpam-4353	150	260	,	,	PUNCT
ejpam-4353	150	261	{	{	PUNCT
ejpam-4353	150	262	ω1	ω1	PROPN
ejpam-4353	150	263	,	,	PUNCT
ejpam-4353	150	264	ω3	ω3	NOUN
ejpam-4353	150	265	,	,	PUNCT
ejpam-4353	150	266	ω8	ω8	NOUN
ejpam-4353	150	267	}	}	PUNCT
ejpam-4353	150	268	)	)	PUNCT
ejpam-4353	150	269	,	,	PUNCT
ejpam-4353	150	270	(	(	PUNCT
ejpam-4353	150	271	ϱ5	ϱ5	PROPN
ejpam-4353	150	272	,	,	PUNCT
ejpam-4353	150	273	{	{	PUNCT
ejpam-4353	150	274	ω1	ω1	PROPN
ejpam-4353	150	275	,	,	PUNCT
ejpam-4353	150	276	ω3	ω3	NOUN
ejpam-4353	150	277	,	,	PUNCT
ejpam-4353	150	278	ω4	ω4	NUM
ejpam-4353	150	279	}	}	PUNCT
ejpam-4353	150	280	,	,	PUNCT
ejpam-4353	150	281	{	{	PUNCT
ejpam-4353	150	282	ω2	ω2	ADJ
ejpam-4353	150	283	,	,	PUNCT
ejpam-4353	150	284	ω5	ω5	NOUN
ejpam-4353	150	285	,	,	PUNCT
ejpam-4353	150	286	ω8	ω8	NOUN
ejpam-4353	150	287	}	}	PUNCT
ejpam-4353	150	288	)	)	PUNCT
ejpam-4353	150	289	,	,	PUNCT
ejpam-4353	150	290	(	(	PUNCT
ejpam-4353	150	291	ϱ7	ϱ7	NOUN
ejpam-4353	150	292	,	,	PUNCT
ejpam-4353	150	293	{	{	PUNCT
ejpam-4353	150	294	ω5	ω5	PROPN
ejpam-4353	150	295	,	,	PUNCT
ejpam-4353	150	296	ω6	ω6	PROPN
ejpam-4353	150	297	,	,	PUNCT
ejpam-4353	150	298	ω7	ω7	NOUN
ejpam-4353	150	299	,	,	PUNCT
ejpam-4353	150	300	ω8	ω8	NOUN
ejpam-4353	150	301	}	}	PUNCT
ejpam-4353	150	302	,	,	PUNCT
ejpam-4353	150	303	{	{	PUNCT
ejpam-4353	150	304	ω2	ω2	ADJ
ejpam-4353	150	305	,	,	PUNCT
ejpam-4353	150	306	ω3	ω3	NOUN
ejpam-4353	150	307	}	}	PUNCT
ejpam-4353	150	308	)	)	PUNCT
ejpam-4353	150	309	}	}	PUNCT
ejpam-4353	150	310	.	.	PUNCT
ejpam-4353	151	1	each	each	PRON
ejpam-4353	151	2	(	(	PUNCT
ejpam-4353	151	3	θ	θ	PROPN
ejpam-4353	151	4	,	,	PUNCT
ejpam-4353	151	5	λ	λ	PROPN
ejpam-4353	151	6	,	,	PUNCT
ejpam-4353	151	7	ς	ς	NOUN
ejpam-4353	151	8	)	)	PUNCT
ejpam-4353	151	9	in	in	ADP
ejpam-4353	151	10	˜̃g	˜̃g	PROPN
ejpam-4353	151	11	can	can	AUX
ejpam-4353	151	12	be	be	AUX
ejpam-4353	151	13	depicted	depict	VERB
ejpam-4353	151	14	as	as	ADP
ejpam-4353	151	15	a	a	DET
ejpam-4353	151	16	table	table	NOUN
ejpam-4353	151	17	.	.	PUNCT
ejpam-4353	152	1	each	each	DET
ejpam-4353	152	2	category	category	NOUN
ejpam-4353	152	3	includes	include	VERB
ejpam-4353	152	4	positive	positive	ADJ
ejpam-4353	152	5	description	description	NOUN
ejpam-4353	152	6	αi	αi	ADV
ejpam-4353	152	7	and	and	CCONJ
ejpam-4353	152	8	negative	negative	ADJ
ejpam-4353	152	9	description	description	NOUN
ejpam-4353	152	10	βj	βj	PRON
ejpam-4353	152	11	and	and	CCONJ
ejpam-4353	152	12	it	it	PRON
ejpam-4353	152	13	can	can	AUX
ejpam-4353	152	14	be	be	AUX
ejpam-4353	152	15	represented	represent	VERB
ejpam-4353	152	16	by	by	ADP
ejpam-4353	152	17	(	(	PUNCT
ejpam-4353	152	18	αi	αi	INTJ
ejpam-4353	152	19	,	,	PUNCT
ejpam-4353	152	20	βj	βj	PRON
ejpam-4353	152	21	)	)	PUNCT
ejpam-4353	152	22	.	.	PUNCT
ejpam-4353	153	1	if	if	SCONJ
ejpam-4353	153	2	the	the	DET
ejpam-4353	153	3	description	description	NOUN
ejpam-4353	153	4	exists	exist	VERB
ejpam-4353	153	5	in	in	ADP
ejpam-4353	153	6	a	a	DET
ejpam-4353	153	7	category	category	NOUN
ejpam-4353	153	8	,	,	PUNCT
ejpam-4353	153	9	then	then	ADV
ejpam-4353	153	10	it	it	PRON
ejpam-4353	153	11	is	be	AUX
ejpam-4353	153	12	considered	consider	VERB
ejpam-4353	153	13	as	as	ADP
ejpam-4353	153	14	1	1	NUM
ejpam-4353	153	15	,	,	PUNCT
ejpam-4353	153	16	otherwise	otherwise	ADV
ejpam-4353	153	17	,	,	PUNCT
ejpam-4353	153	18	it	it	PRON
ejpam-4353	153	19	is	be	AUX
ejpam-4353	153	20	0	0	NUM
ejpam-4353	153	21	.	.	PUNCT
ejpam-4353	154	1	tabular	tabular	PROPN
ejpam-4353	154	2	representation	representation	NOUN
ejpam-4353	154	3	of	of	ADP
ejpam-4353	154	4	bipolar	bipolar	ADJ
ejpam-4353	154	5	soft	soft	ADJ
ejpam-4353	154	6	sets	set	NOUN
ejpam-4353	154	7	(	(	PUNCT
ejpam-4353	154	8	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	154	9	,	,	PUNCT
ejpam-4353	154	10	ς	ς	NOUN
ejpam-4353	154	11	)	)	PUNCT
ejpam-4353	154	12	,	,	PUNCT
ejpam-4353	154	13	(	(	PUNCT
ejpam-4353	154	14	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	154	15	,	,	PUNCT
ejpam-4353	154	16	ς	ς	NOUN
ejpam-4353	154	17	)	)	PUNCT
ejpam-4353	154	18	and	and	CCONJ
ejpam-4353	154	19	(	(	PUNCT
ejpam-4353	154	20	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	154	21	,	,	PUNCT
ejpam-4353	154	22	ς	ς	NOUN
ejpam-4353	154	23	)	)	PUNCT
ejpam-4353	154	24	are	be	AUX
ejpam-4353	154	25	given	give	VERB
ejpam-4353	154	26	in	in	ADP
ejpam-4353	154	27	tables	table	NOUN
ejpam-4353	154	28	1,2	1,2	NUM
ejpam-4353	154	29	and	and	CCONJ
ejpam-4353	154	30	3	3	NUM
ejpam-4353	154	31	.	.	PUNCT
ejpam-4353	154	32	h.	h.	PROPN
ejpam-4353	154	33	y.	y.	PROPN
ejpam-4353	154	34	saleh	saleh	PROPN
ejpam-4353	154	35	,	,	PUNCT
ejpam-4353	154	36	b.	b.	PROPN
ejpam-4353	154	37	a.	a.	PROPN
ejpam-4353	154	38	asaad	asaad	PROPN
ejpam-4353	154	39	,	,	PUNCT
ejpam-4353	154	40	r.	r.	PROPN
ejpam-4353	154	41	a.	a.	PROPN
ejpam-4353	154	42	mohammed	mohammed	PROPN
ejpam-4353	154	43	/	/	SYM
ejpam-4353	154	44	eur	eur	PROPN
ejpam-4353	154	45	.	.	PUNCT
ejpam-4353	155	1	j.	j.	PROPN
ejpam-4353	155	2	pure	pure	PROPN
ejpam-4353	155	3	appl	appl	PROPN
ejpam-4353	155	4	.	.	PROPN
ejpam-4353	155	5	math	math	PROPN
ejpam-4353	155	6	,	,	PUNCT
ejpam-4353	155	7	15	15	NUM
ejpam-4353	155	8	(	(	PUNCT
ejpam-4353	155	9	2	2	NUM
ejpam-4353	155	10	)	)	PUNCT
ejpam-4353	155	11	(	(	PUNCT
ejpam-4353	155	12	2022	2022	NUM
ejpam-4353	155	13	)	)	PUNCT
ejpam-4353	155	14	,	,	PUNCT
ejpam-4353	155	15	646	646	NUM
ejpam-4353	155	16	-	-	SYM
ejpam-4353	155	17	671	671	NUM
ejpam-4353	155	18	652	652	NUM
ejpam-4353	155	19	table	table	NOUN
ejpam-4353	155	20	1	1	NUM
ejpam-4353	155	21	:	:	PUNCT
ejpam-4353	155	22	tabular	tabular	PROPN
ejpam-4353	155	23	form	form	NOUN
ejpam-4353	155	24	of	of	ADP
ejpam-4353	155	25	the	the	DET
ejpam-4353	155	26	bipolar	bipolar	ADJ
ejpam-4353	155	27	soft	soft	ADJ
ejpam-4353	155	28	set	set	NOUN
ejpam-4353	155	29	(	(	PUNCT
ejpam-4353	155	30	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	155	31	,	,	PUNCT
ejpam-4353	155	32	ς	ς	NOUN
ejpam-4353	155	33	)	)	PUNCT
ejpam-4353	155	34	(	(	PUNCT
ejpam-4353	155	35	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	155	36	,	,	PUNCT
ejpam-4353	155	37	ς	ς	NOUN
ejpam-4353	155	38	)	)	PUNCT
ejpam-4353	155	39	(	(	PUNCT
ejpam-4353	155	40	θ1,λ1)(ϱ1	θ1,λ1)(ϱ1	NUM
ejpam-4353	155	41	)	)	PUNCT
ejpam-4353	155	42	(	(	PUNCT
ejpam-4353	155	43	θ1,λ1)(ϱ3	θ1,λ1)(ϱ3	NOUN
ejpam-4353	155	44	)	)	PUNCT
ejpam-4353	155	45	(	(	PUNCT
ejpam-4353	155	46	θ1,λ1)(ϱ5	θ1,λ1)(ϱ5	NOUN
ejpam-4353	155	47	)	)	PUNCT
ejpam-4353	155	48	(	(	PUNCT
ejpam-4353	155	49	θ1,λ1)(ϱ7	θ1,λ1)(ϱ7	NOUN
ejpam-4353	155	50	)	)	PUNCT
ejpam-4353	155	51	ω1	ω1	PROPN
ejpam-4353	155	52	(	(	PUNCT
ejpam-4353	155	53	1,0	1,0	NUM
ejpam-4353	155	54	)	)	PUNCT
ejpam-4353	155	55	(	(	PUNCT
ejpam-4353	155	56	0,1	0,1	NUM
ejpam-4353	155	57	)	)	PUNCT
ejpam-4353	155	58	(	(	PUNCT
ejpam-4353	155	59	0,1	0,1	NUM
ejpam-4353	155	60	)	)	PUNCT
ejpam-4353	155	61	(	(	PUNCT
ejpam-4353	155	62	0,0	0,0	NOUN
ejpam-4353	155	63	)	)	PUNCT
ejpam-4353	155	64	ω2	ω2	ADJ
ejpam-4353	155	65	(	(	PUNCT
ejpam-4353	155	66	0,1	0,1	NUM
ejpam-4353	155	67	)	)	PUNCT
ejpam-4353	155	68	(	(	PUNCT
ejpam-4353	155	69	1,0	1,0	NUM
ejpam-4353	155	70	)	)	PUNCT
ejpam-4353	155	71	(	(	PUNCT
ejpam-4353	155	72	0,1	0,1	NUM
ejpam-4353	155	73	)	)	PUNCT
ejpam-4353	155	74	(	(	PUNCT
ejpam-4353	155	75	0,1	0,1	NUM
ejpam-4353	155	76	)	)	PUNCT
ejpam-4353	155	77	ω3	ω3	NOUN
ejpam-4353	155	78	(	(	PUNCT
ejpam-4353	155	79	1,0	1,0	NUM
ejpam-4353	155	80	)	)	PUNCT
ejpam-4353	155	81	(	(	PUNCT
ejpam-4353	155	82	0,1	0,1	NUM
ejpam-4353	155	83	)	)	PUNCT
ejpam-4353	155	84	(	(	PUNCT
ejpam-4353	155	85	1,0	1,0	NUM
ejpam-4353	155	86	)	)	PUNCT
ejpam-4353	155	87	(	(	PUNCT
ejpam-4353	155	88	0,1	0,1	NUM
ejpam-4353	155	89	)	)	PUNCT
ejpam-4353	155	90	ω4	ω4	NOUN
ejpam-4353	155	91	(	(	PUNCT
ejpam-4353	155	92	1,0	1,0	NUM
ejpam-4353	155	93	)	)	PUNCT
ejpam-4353	155	94	(	(	PUNCT
ejpam-4353	155	95	0,0	0,0	NOUN
ejpam-4353	155	96	)	)	PUNCT
ejpam-4353	155	97	(	(	PUNCT
ejpam-4353	155	98	1,0	1,0	NUM
ejpam-4353	155	99	)	)	PUNCT
ejpam-4353	155	100	(	(	PUNCT
ejpam-4353	155	101	0,0	0,0	NOUN
ejpam-4353	155	102	)	)	PUNCT
ejpam-4353	155	103	ω5	ω5	NOUN
ejpam-4353	155	104	(	(	PUNCT
ejpam-4353	155	105	0,0	0,0	NOUN
ejpam-4353	155	106	)	)	PUNCT
ejpam-4353	155	107	(	(	PUNCT
ejpam-4353	155	108	1,0	1,0	NUM
ejpam-4353	155	109	)	)	PUNCT
ejpam-4353	155	110	(	(	PUNCT
ejpam-4353	155	111	0,1	0,1	NUM
ejpam-4353	155	112	)	)	PUNCT
ejpam-4353	155	113	(	(	PUNCT
ejpam-4353	155	114	1,0	1,0	NUM
ejpam-4353	155	115	)	)	PUNCT
ejpam-4353	155	116	ω6	ω6	PROPN
ejpam-4353	155	117	(	(	PUNCT
ejpam-4353	155	118	0,1	0,1	NUM
ejpam-4353	155	119	)	)	PUNCT
ejpam-4353	155	120	(	(	PUNCT
ejpam-4353	155	121	0,0	0,0	NOUN
ejpam-4353	155	122	)	)	PUNCT
ejpam-4353	155	123	(	(	PUNCT
ejpam-4353	155	124	0,0	0,0	NOUN
ejpam-4353	155	125	)	)	PUNCT
ejpam-4353	155	126	(	(	PUNCT
ejpam-4353	155	127	1,0	1,0	NUM
ejpam-4353	155	128	)	)	PUNCT
ejpam-4353	155	129	ω7	ω7	NOUN
ejpam-4353	155	130	(	(	PUNCT
ejpam-4353	155	131	0,0	0,0	NOUN
ejpam-4353	155	132	)	)	PUNCT
ejpam-4353	155	133	(	(	PUNCT
ejpam-4353	155	134	1,0	1,0	NUM
ejpam-4353	155	135	)	)	PUNCT
ejpam-4353	155	136	(	(	PUNCT
ejpam-4353	155	137	0,0	0,0	NOUN
ejpam-4353	155	138	)	)	PUNCT
ejpam-4353	155	139	(	(	PUNCT
ejpam-4353	155	140	0,1	0,1	NUM
ejpam-4353	155	141	)	)	PUNCT
ejpam-4353	155	142	ω8	ω8	NOUN
ejpam-4353	155	143	(	(	PUNCT
ejpam-4353	155	144	0,0	0,0	NUM
ejpam-4353	155	145	)	)	PUNCT
ejpam-4353	155	146	(	(	PUNCT
ejpam-4353	155	147	0,1	0,1	NUM
ejpam-4353	155	148	)	)	PUNCT
ejpam-4353	155	149	(	(	PUNCT
ejpam-4353	155	150	0,1	0,1	NUM
ejpam-4353	155	151	)	)	PUNCT
ejpam-4353	155	152	(	(	PUNCT
ejpam-4353	155	153	1,0	1,0	NUM
ejpam-4353	155	154	)	)	PUNCT
ejpam-4353	155	155	table	table	NOUN
ejpam-4353	155	156	2	2	NUM
ejpam-4353	155	157	:	:	PUNCT
ejpam-4353	155	158	tabular	tabular	NOUN
ejpam-4353	155	159	form	form	NOUN
ejpam-4353	155	160	of	of	ADP
ejpam-4353	155	161	the	the	DET
ejpam-4353	155	162	bipolar	bipolar	ADJ
ejpam-4353	155	163	soft	soft	ADJ
ejpam-4353	155	164	set	set	NOUN
ejpam-4353	155	165	(	(	PUNCT
ejpam-4353	155	166	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	155	167	,	,	PUNCT
ejpam-4353	155	168	ς	ς	NOUN
ejpam-4353	155	169	)	)	PUNCT
ejpam-4353	155	170	(	(	PUNCT
ejpam-4353	155	171	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	155	172	,	,	PUNCT
ejpam-4353	155	173	ς	ς	NOUN
ejpam-4353	155	174	)	)	PUNCT
ejpam-4353	155	175	(	(	PUNCT
ejpam-4353	155	176	θ2,λ2)(ϱ1	θ2,λ2)(ϱ1	PROPN
ejpam-4353	155	177	)	)	PUNCT
ejpam-4353	155	178	(	(	PUNCT
ejpam-4353	155	179	θ2,λ2)(ϱ3	θ2,λ2)(ϱ3	PROPN
ejpam-4353	155	180	)	)	PUNCT
ejpam-4353	155	181	(	(	PUNCT
ejpam-4353	155	182	θ2,λ2)(ϱ5	θ2,λ2)(ϱ5	NOUN
ejpam-4353	155	183	)	)	PUNCT
ejpam-4353	155	184	(	(	PUNCT
ejpam-4353	155	185	θ2,λ2)(ϱ7	θ2,λ2)(ϱ7	NOUN
ejpam-4353	155	186	)	)	PUNCT
ejpam-4353	155	187	ω1	ω1	PROPN
ejpam-4353	155	188	(	(	PUNCT
ejpam-4353	155	189	1,0	1,0	NUM
ejpam-4353	155	190	)	)	PUNCT
ejpam-4353	155	191	(	(	PUNCT
ejpam-4353	155	192	0,1	0,1	NUM
ejpam-4353	155	193	)	)	PUNCT
ejpam-4353	155	194	(	(	PUNCT
ejpam-4353	155	195	1,0	1,0	NUM
ejpam-4353	155	196	)	)	PUNCT
ejpam-4353	155	197	(	(	PUNCT
ejpam-4353	155	198	0,0	0,0	NOUN
ejpam-4353	155	199	)	)	PUNCT
ejpam-4353	155	200	ω2	ω2	ADJ
ejpam-4353	155	201	(	(	PUNCT
ejpam-4353	155	202	1,0	1,0	NUM
ejpam-4353	155	203	)	)	PUNCT
ejpam-4353	155	204	(	(	PUNCT
ejpam-4353	155	205	1,0	1,0	NUM
ejpam-4353	155	206	)	)	PUNCT
ejpam-4353	155	207	(	(	PUNCT
ejpam-4353	155	208	0,1	0,1	NUM
ejpam-4353	155	209	)	)	PUNCT
ejpam-4353	155	210	(	(	PUNCT
ejpam-4353	155	211	0,1	0,1	NUM
ejpam-4353	155	212	)	)	PUNCT
ejpam-4353	155	213	ω3	ω3	NOUN
ejpam-4353	155	214	(	(	PUNCT
ejpam-4353	155	215	0,1	0,1	NUM
ejpam-4353	155	216	)	)	PUNCT
ejpam-4353	155	217	(	(	PUNCT
ejpam-4353	155	218	0,1	0,1	NUM
ejpam-4353	155	219	)	)	PUNCT
ejpam-4353	155	220	(	(	PUNCT
ejpam-4353	155	221	1,0	1,0	NUM
ejpam-4353	155	222	)	)	PUNCT
ejpam-4353	155	223	(	(	PUNCT
ejpam-4353	155	224	0,1	0,1	NUM
ejpam-4353	155	225	)	)	PUNCT
ejpam-4353	155	226	ω4	ω4	NOUN
ejpam-4353	155	227	(	(	PUNCT
ejpam-4353	155	228	1,0	1,0	NUM
ejpam-4353	155	229	)	)	PUNCT
ejpam-4353	155	230	(	(	PUNCT
ejpam-4353	155	231	0,1	0,1	NUM
ejpam-4353	155	232	)	)	PUNCT
ejpam-4353	155	233	(	(	PUNCT
ejpam-4353	155	234	1,0	1,0	NUM
ejpam-4353	155	235	)	)	PUNCT
ejpam-4353	155	236	(	(	PUNCT
ejpam-4353	155	237	0,1	0,1	NUM
ejpam-4353	155	238	)	)	PUNCT
ejpam-4353	155	239	ω5	ω5	PROPN
ejpam-4353	155	240	(	(	PUNCT
ejpam-4353	155	241	0,1	0,1	NUM
ejpam-4353	155	242	)	)	PUNCT
ejpam-4353	155	243	(	(	PUNCT
ejpam-4353	155	244	0,0	0,0	NOUN
ejpam-4353	155	245	)	)	PUNCT
ejpam-4353	155	246	(	(	PUNCT
ejpam-4353	155	247	0,1	0,1	NUM
ejpam-4353	155	248	)	)	PUNCT
ejpam-4353	155	249	(	(	PUNCT
ejpam-4353	155	250	1,0	1,0	NUM
ejpam-4353	155	251	)	)	PUNCT
ejpam-4353	155	252	ω6	ω6	PROPN
ejpam-4353	155	253	(	(	PUNCT
ejpam-4353	155	254	0,1	0,1	NUM
ejpam-4353	155	255	)	)	PUNCT
ejpam-4353	155	256	(	(	PUNCT
ejpam-4353	155	257	0,0	0,0	NOUN
ejpam-4353	155	258	)	)	PUNCT
ejpam-4353	155	259	(	(	PUNCT
ejpam-4353	155	260	0,0	0,0	NOUN
ejpam-4353	155	261	)	)	PUNCT
ejpam-4353	155	262	(	(	PUNCT
ejpam-4353	155	263	0,0	0,0	NOUN
ejpam-4353	155	264	)	)	PUNCT
ejpam-4353	155	265	ω7	ω7	NOUN
ejpam-4353	155	266	(	(	PUNCT
ejpam-4353	155	267	0,1	0,1	NUM
ejpam-4353	155	268	)	)	PUNCT
ejpam-4353	155	269	(	(	PUNCT
ejpam-4353	155	270	0,0	0,0	NOUN
ejpam-4353	155	271	)	)	PUNCT
ejpam-4353	155	272	(	(	PUNCT
ejpam-4353	155	273	0,1	0,1	NUM
ejpam-4353	155	274	)	)	PUNCT
ejpam-4353	155	275	(	(	PUNCT
ejpam-4353	155	276	0,0	0,0	NOUN
ejpam-4353	155	277	)	)	PUNCT
ejpam-4353	155	278	ω8	ω8	NOUN
ejpam-4353	155	279	(	(	PUNCT
ejpam-4353	155	280	0,0	0,0	NUM
ejpam-4353	155	281	)	)	PUNCT
ejpam-4353	155	282	(	(	PUNCT
ejpam-4353	155	283	0,1	0,1	NUM
ejpam-4353	155	284	)	)	PUNCT
ejpam-4353	155	285	(	(	PUNCT
ejpam-4353	155	286	0,1	0,1	NUM
ejpam-4353	155	287	)	)	PUNCT
ejpam-4353	155	288	(	(	PUNCT
ejpam-4353	155	289	0,0	0,0	NUM
ejpam-4353	155	290	)	)	PUNCT
ejpam-4353	155	291	table	table	NOUN
ejpam-4353	155	292	3	3	NUM
ejpam-4353	155	293	:	:	PUNCT
ejpam-4353	155	294	tabular	tabular	PROPN
ejpam-4353	155	295	form	form	NOUN
ejpam-4353	155	296	of	of	ADP
ejpam-4353	155	297	the	the	DET
ejpam-4353	155	298	bipolar	bipolar	ADJ
ejpam-4353	155	299	soft	soft	ADJ
ejpam-4353	155	300	set	set	NOUN
ejpam-4353	155	301	(	(	PUNCT
ejpam-4353	155	302	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	155	303	,	,	PUNCT
ejpam-4353	155	304	ς	ς	NOUN
ejpam-4353	155	305	)	)	PUNCT
ejpam-4353	155	306	(	(	PUNCT
ejpam-4353	155	307	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	155	308	,	,	PUNCT
ejpam-4353	155	309	ς	ς	PROPN
ejpam-4353	155	310	)	)	PUNCT
ejpam-4353	155	311	(	(	PUNCT
ejpam-4353	155	312	θ3,λ3)(ϱ1	θ3,λ3)(ϱ1	NOUN
ejpam-4353	155	313	)	)	PUNCT
ejpam-4353	155	314	(	(	PUNCT
ejpam-4353	155	315	θ3,λ3)(ϱ3	θ3,λ3)(ϱ3	NOUN
ejpam-4353	155	316	)	)	PUNCT
ejpam-4353	155	317	(	(	PUNCT
ejpam-4353	155	318	θ3,λ3)(ϱ5	θ3,λ3)(ϱ5	NOUN
ejpam-4353	155	319	)	)	PUNCT
ejpam-4353	155	320	(	(	PUNCT
ejpam-4353	155	321	θ3,λ3)(ϱ7	θ3,λ3)(ϱ7	INTJ
ejpam-4353	155	322	)	)	PUNCT
ejpam-4353	155	323	ω1	ω1	PROPN
ejpam-4353	155	324	(	(	PUNCT
ejpam-4353	155	325	1,0	1,0	NUM
ejpam-4353	155	326	)	)	PUNCT
ejpam-4353	155	327	(	(	PUNCT
ejpam-4353	155	328	0,1	0,1	NUM
ejpam-4353	155	329	)	)	PUNCT
ejpam-4353	155	330	(	(	PUNCT
ejpam-4353	155	331	1,0	1,0	NUM
ejpam-4353	155	332	)	)	PUNCT
ejpam-4353	155	333	(	(	PUNCT
ejpam-4353	155	334	0,0	0,0	NOUN
ejpam-4353	155	335	)	)	PUNCT
ejpam-4353	155	336	ω2	ω2	ADJ
ejpam-4353	155	337	(	(	PUNCT
ejpam-4353	155	338	1,0	1,0	NUM
ejpam-4353	155	339	)	)	PUNCT
ejpam-4353	155	340	(	(	PUNCT
ejpam-4353	155	341	1,0	1,0	NUM
ejpam-4353	155	342	)	)	PUNCT
ejpam-4353	155	343	(	(	PUNCT
ejpam-4353	155	344	0,1	0,1	NUM
ejpam-4353	155	345	)	)	PUNCT
ejpam-4353	155	346	(	(	PUNCT
ejpam-4353	155	347	0,1	0,1	NUM
ejpam-4353	155	348	)	)	PUNCT
ejpam-4353	155	349	ω3	ω3	NOUN
ejpam-4353	155	350	(	(	PUNCT
ejpam-4353	155	351	1,0	1,0	NUM
ejpam-4353	155	352	)	)	PUNCT
ejpam-4353	155	353	(	(	PUNCT
ejpam-4353	155	354	0,1	0,1	NUM
ejpam-4353	155	355	)	)	PUNCT
ejpam-4353	155	356	(	(	PUNCT
ejpam-4353	155	357	1,0	1,0	NUM
ejpam-4353	155	358	)	)	PUNCT
ejpam-4353	155	359	(	(	PUNCT
ejpam-4353	155	360	0,1	0,1	NUM
ejpam-4353	155	361	)	)	PUNCT
ejpam-4353	155	362	ω4	ω4	NOUN
ejpam-4353	155	363	(	(	PUNCT
ejpam-4353	155	364	1,0	1,0	NUM
ejpam-4353	155	365	)	)	PUNCT
ejpam-4353	155	366	(	(	PUNCT
ejpam-4353	155	367	0,0	0,0	NOUN
ejpam-4353	155	368	)	)	PUNCT
ejpam-4353	155	369	(	(	PUNCT
ejpam-4353	155	370	1,0	1,0	NUM
ejpam-4353	155	371	)	)	PUNCT
ejpam-4353	155	372	(	(	PUNCT
ejpam-4353	155	373	0,0	0,0	NOUN
ejpam-4353	155	374	)	)	PUNCT
ejpam-4353	155	375	ω5	ω5	NOUN
ejpam-4353	155	376	(	(	PUNCT
ejpam-4353	155	377	0,0	0,0	NOUN
ejpam-4353	155	378	)	)	PUNCT
ejpam-4353	155	379	(	(	PUNCT
ejpam-4353	155	380	1,0	1,0	NUM
ejpam-4353	155	381	)	)	PUNCT
ejpam-4353	155	382	(	(	PUNCT
ejpam-4353	155	383	0,1	0,1	NUM
ejpam-4353	155	384	)	)	PUNCT
ejpam-4353	155	385	(	(	PUNCT
ejpam-4353	155	386	1,0	1,0	NUM
ejpam-4353	155	387	)	)	PUNCT
ejpam-4353	155	388	ω6	ω6	PROPN
ejpam-4353	155	389	(	(	PUNCT
ejpam-4353	155	390	0,1	0,1	NUM
ejpam-4353	155	391	)	)	PUNCT
ejpam-4353	155	392	(	(	PUNCT
ejpam-4353	155	393	0,0	0,0	NOUN
ejpam-4353	155	394	)	)	PUNCT
ejpam-4353	155	395	(	(	PUNCT
ejpam-4353	155	396	0,0	0,0	NOUN
ejpam-4353	155	397	)	)	PUNCT
ejpam-4353	155	398	(	(	PUNCT
ejpam-4353	155	399	1,0	1,0	NUM
ejpam-4353	155	400	)	)	PUNCT
ejpam-4353	155	401	ω7	ω7	NOUN
ejpam-4353	155	402	(	(	PUNCT
ejpam-4353	155	403	0,0	0,0	NOUN
ejpam-4353	155	404	)	)	PUNCT
ejpam-4353	155	405	(	(	PUNCT
ejpam-4353	155	406	1,0	1,0	NUM
ejpam-4353	155	407	)	)	PUNCT
ejpam-4353	155	408	(	(	PUNCT
ejpam-4353	155	409	0,0	0,0	NOUN
ejpam-4353	155	410	)	)	PUNCT
ejpam-4353	155	411	(	(	PUNCT
ejpam-4353	155	412	1,0	1,0	NUM
ejpam-4353	155	413	)	)	PUNCT
ejpam-4353	155	414	ω8	ω8	NOUN
ejpam-4353	155	415	(	(	PUNCT
ejpam-4353	155	416	0,0	0,0	NUM
ejpam-4353	155	417	)	)	PUNCT
ejpam-4353	155	418	(	(	PUNCT
ejpam-4353	155	419	0,1	0,1	NUM
ejpam-4353	155	420	)	)	PUNCT
ejpam-4353	155	421	(	(	PUNCT
ejpam-4353	155	422	0,1	0,1	NUM
ejpam-4353	155	423	)	)	PUNCT
ejpam-4353	155	424	(	(	PUNCT
ejpam-4353	155	425	1,0	1,0	NUM
ejpam-4353	155	426	)	)	PUNCT
ejpam-4353	155	427	theorem	theorem	NOUN
ejpam-4353	155	428	1	1	NUM
ejpam-4353	155	429	.	.	PUNCT
ejpam-4353	156	1	let	let	AUX
ejpam-4353	156	2	(	(	PUNCT
ejpam-4353	156	3	ω	ω	NOUN
ejpam-4353	156	4	,	,	PUNCT
ejpam-4353	156	5	˜̃g	˜̃g	PROPN
ejpam-4353	156	6	,	,	PUNCT
ejpam-4353	156	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	156	8	)	)	PUNCT
ejpam-4353	156	9	be	be	VERB
ejpam-4353	156	10	a	a	DET
ejpam-4353	156	11	bsgt	bsgt	NOUN
ejpam-4353	156	12	s	s	PRON
ejpam-4353	156	13	,	,	PUNCT
ejpam-4353	156	14	then	then	ADV
ejpam-4353	156	15	g̃	g̃	PROPN
ejpam-4353	156	16	=	=	SYM
ejpam-4353	156	17	{	{	PUNCT
ejpam-4353	156	18	(	(	PUNCT
ejpam-4353	156	19	θ	θ	PROPN
ejpam-4353	156	20	,	,	PUNCT
ejpam-4353	156	21	ς	ς	NOUN
ejpam-4353	156	22	)	)	PUNCT
ejpam-4353	156	23	:	:	PUNCT
ejpam-4353	156	24	(	(	PUNCT
ejpam-4353	156	25	θ	θ	NOUN
ejpam-4353	156	26	,	,	PUNCT
ejpam-4353	156	27	λ	λ	PROPN
ejpam-4353	156	28	,	,	PUNCT
ejpam-4353	156	29	ς	ς	NOUN
ejpam-4353	156	30	)	)	PUNCT
ejpam-4353	156	31	˜̃∈	˜̃∈	PROPN
ejpam-4353	156	32	˜̃g	˜̃g	PROPN
ejpam-4353	156	33	}	}	PUNCT
ejpam-4353	156	34	is	be	AUX
ejpam-4353	156	35	sgt	sgt	PROPN
ejpam-4353	156	36	.	.	PUNCT
ejpam-4353	157	1	proof	proof	NOUN
ejpam-4353	157	2	.	.	PUNCT
ejpam-4353	158	1	suppose	suppose	VERB
ejpam-4353	158	2	that	that	SCONJ
ejpam-4353	158	3	(	(	PUNCT
ejpam-4353	158	4	ω	ω	NOUN
ejpam-4353	158	5	,	,	PUNCT
ejpam-4353	158	6	˜̃g	˜̃g	PROPN
ejpam-4353	158	7	,	,	PUNCT
ejpam-4353	158	8	ς,¬ς	ς,¬ς	NUM
ejpam-4353	158	9	)	)	PUNCT
ejpam-4353	158	10	is	be	AUX
ejpam-4353	158	11	a	a	DET
ejpam-4353	158	12	bsgt	bsgt	NOUN
ejpam-4353	158	13	s.	s.	PROPN
ejpam-4353	158	14	then	then	ADV
ejpam-4353	158	15	(	(	PUNCT
ejpam-4353	158	16	φ	φ	PROPN
ejpam-4353	158	17	,	,	PUNCT
ejpam-4353	158	18	˜̃	˜̃	NOUN
ejpam-4353	158	19	ω	ω	PROPN
ejpam-4353	158	20	,	,	PUNCT
ejpam-4353	158	21	ς	ς	NOUN
ejpam-4353	158	22	)	)	PUNCT
ejpam-4353	159	1	˜̃∈	˜̃∈	PROPN
ejpam-4353	159	2	˜̃g	˜̃g	PROPN
ejpam-4353	159	3	implies	imply	VERB
ejpam-4353	159	4	that	that	SCONJ
ejpam-4353	159	5	(	(	PUNCT
ejpam-4353	159	6	φ	φ	NUM
ejpam-4353	159	7	,	,	PUNCT
ejpam-4353	159	8	ς)∈̃	ς)∈̃	PROPN
ejpam-4353	159	9	g̃.	g̃.	ADV
ejpam-4353	159	10	let	let	VERB
ejpam-4353	159	11	{	{	PUNCT
ejpam-4353	159	12	(	(	PUNCT
ejpam-4353	159	13	θi	θi	X
ejpam-4353	159	14	,	,	PUNCT
ejpam-4353	159	15	ς	ς	PROPN
ejpam-4353	159	16	)	)	PUNCT
ejpam-4353	159	17	:	:	PUNCT
ejpam-4353	160	1	i	i	PRON
ejpam-4353	160	2	∈	∈	VERB
ejpam-4353	160	3	i	i	PRON
ejpam-4353	160	4	}	}	PUNCT
ejpam-4353	160	5	belongs	belong	VERB
ejpam-4353	160	6	to	to	ADP
ejpam-4353	160	7	g̃.	g̃.	PROPN
ejpam-4353	160	8	since	since	SCONJ
ejpam-4353	160	9	(	(	PUNCT
ejpam-4353	160	10	θi	θi	X
ejpam-4353	160	11	,	,	PUNCT
ejpam-4353	160	12	λi	λi	NOUN
ejpam-4353	160	13	,	,	PUNCT
ejpam-4353	160	14	ς	ς	NOUN
ejpam-4353	160	15	)	)	PUNCT
ejpam-4353	160	16	˜̃∈	˜̃∈	PROPN
ejpam-4353	160	17	˜̃g	˜̃g	PROPN
ejpam-4353	160	18	for	for	ADP
ejpam-4353	160	19	all	all	PRON
ejpam-4353	160	20	i	i	PRON
ejpam-4353	160	21	∈	∈	PROPN
ejpam-4353	161	1	i	i	PRON
ejpam-4353	161	2	,	,	PUNCT
ejpam-4353	161	3	so	so	SCONJ
ejpam-4353	161	4	that	that	SCONJ
ejpam-4353	161	5	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	161	6	i∈i(θi	i∈i(θi	PROPN
ejpam-4353	161	7	,	,	PUNCT
ejpam-4353	161	8	λi	λi	NOUN
ejpam-4353	161	9	,	,	PUNCT
ejpam-4353	161	10	ς)˜̃∈	ς)˜̃∈	NOUN
ejpam-4353	161	11	˜̃g	˜̃g	PROPN
ejpam-4353	161	12	.	.	PUNCT
ejpam-4353	162	1	thus	thus	ADV
ejpam-4353	162	2	,	,	PUNCT
ejpam-4353	162	3	⋃̃i∈i(θi	⋃̃i∈i(θi	NUM
ejpam-4353	162	4	,	,	PUNCT
ejpam-4353	162	5	ς	ς	NOUN
ejpam-4353	162	6	)	)	PUNCT
ejpam-4353	162	7	∈̃	∈̃	PROPN
ejpam-4353	162	8	g̃.	g̃.	NOUN
ejpam-4353	162	9	hence	hence	ADV
ejpam-4353	162	10	g̃	g̃	PROPN
ejpam-4353	162	11	defines	define	VERB
ejpam-4353	162	12	a	a	DET
ejpam-4353	162	13	sgt	sgt	PROPN
ejpam-4353	162	14	.	.	PUNCT
ejpam-4353	163	1	the	the	DET
ejpam-4353	163	2	following	follow	VERB
ejpam-4353	163	3	example	example	NOUN
ejpam-4353	163	4	shows	show	VERB
ejpam-4353	163	5	that	that	SCONJ
ejpam-4353	163	6	the	the	DET
ejpam-4353	163	7	converse	converse	NOUN
ejpam-4353	163	8	of	of	ADP
ejpam-4353	163	9	theorem	theorem	NOUN
ejpam-4353	163	10	1	1	NUM
ejpam-4353	163	11	is	be	AUX
ejpam-4353	163	12	not	not	PART
ejpam-4353	163	13	true	true	ADJ
ejpam-4353	163	14	.	.	PUNCT
ejpam-4353	164	1	example	example	NOUN
ejpam-4353	165	1	2	2	NUM
ejpam-4353	165	2	.	.	PUNCT
ejpam-4353	165	3	let	let	VERB
ejpam-4353	165	4	ω	ω	NOUN
ejpam-4353	165	5	=	=	SYM
ejpam-4353	165	6	{	{	PUNCT
ejpam-4353	165	7	ω1	ω1	PROPN
ejpam-4353	165	8	,	,	PUNCT
ejpam-4353	165	9	ω2	ω2	ADJ
ejpam-4353	165	10	,	,	PUNCT
ejpam-4353	165	11	ω3	ω3	NOUN
ejpam-4353	165	12	,	,	PUNCT
ejpam-4353	165	13	ω4	ω4	NUM
ejpam-4353	165	14	}	}	PUNCT
ejpam-4353	165	15	and	and	CCONJ
ejpam-4353	165	16	ς	ς	PROPN
ejpam-4353	165	17	=	=	PUNCT
ejpam-4353	165	18	{	{	PUNCT
ejpam-4353	165	19	ϱ1	ϱ1	PROPN
ejpam-4353	165	20	,	,	PUNCT
ejpam-4353	165	21	ϱ2	ϱ2	NOUN
ejpam-4353	165	22	}	}	PUNCT
ejpam-4353	165	23	.	.	PUNCT
ejpam-4353	166	1	suppose	suppose	VERB
ejpam-4353	166	2	that	that	SCONJ
ejpam-4353	166	3	g̃	g̃	PROPN
ejpam-4353	166	4	=	=	SYM
ejpam-4353	166	5	{	{	PUNCT
ejpam-4353	166	6	(	(	PUNCT
ejpam-4353	166	7	φ	φ	PROPN
ejpam-4353	166	8	,	,	PUNCT
ejpam-4353	166	9	ς	ς	PROPN
ejpam-4353	166	10	)	)	PUNCT
ejpam-4353	166	11	,	,	PUNCT
ejpam-4353	166	12	(	(	PUNCT
ejpam-4353	166	13	θ1	θ1	PROPN
ejpam-4353	166	14	,	,	PUNCT
ejpam-4353	166	15	ς	ς	NOUN
ejpam-4353	166	16	)	)	PUNCT
ejpam-4353	166	17	,	,	PUNCT
ejpam-4353	166	18	(	(	PUNCT
ejpam-4353	166	19	θ2	θ2	PROPN
ejpam-4353	166	20	,	,	PUNCT
ejpam-4353	166	21	ς	ς	PROPN
ejpam-4353	166	22	)	)	PUNCT
ejpam-4353	166	23	,	,	PUNCT
ejpam-4353	166	24	(	(	PUNCT
ejpam-4353	166	25	θ3	θ3	PROPN
ejpam-4353	166	26	,	,	PUNCT
ejpam-4353	166	27	ς	ς	PROPN
ejpam-4353	166	28	)	)	PUNCT
ejpam-4353	166	29	,	,	PUNCT
ejpam-4353	166	30	(	(	PUNCT
ejpam-4353	166	31	θ4	θ4	NOUN
ejpam-4353	166	32	,	,	PUNCT
ejpam-4353	166	33	ς	ς	NOUN
ejpam-4353	166	34	)	)	PUNCT
ejpam-4353	166	35	}	}	PUNCT
ejpam-4353	166	36	and	and	CCONJ
ejpam-4353	166	37	h.	h.	PROPN
ejpam-4353	166	38	y.	y.	PROPN
ejpam-4353	166	39	saleh	saleh	PROPN
ejpam-4353	166	40	,	,	PUNCT
ejpam-4353	166	41	b.	b.	PROPN
ejpam-4353	166	42	a.	a.	PROPN
ejpam-4353	166	43	asaad	asaad	PROPN
ejpam-4353	166	44	,	,	PUNCT
ejpam-4353	166	45	r.	r.	PROPN
ejpam-4353	166	46	a.	a.	PROPN
ejpam-4353	166	47	mohammed	mohammed	PROPN
ejpam-4353	166	48	/	/	SYM
ejpam-4353	166	49	eur	eur	PROPN
ejpam-4353	166	50	.	.	PUNCT
ejpam-4353	167	1	j.	j.	PROPN
ejpam-4353	167	2	pure	pure	PROPN
ejpam-4353	167	3	appl	appl	PROPN
ejpam-4353	167	4	.	.	PROPN
ejpam-4353	167	5	math	math	PROPN
ejpam-4353	167	6	,	,	PUNCT
ejpam-4353	167	7	15	15	NUM
ejpam-4353	167	8	(	(	PUNCT
ejpam-4353	167	9	2	2	NUM
ejpam-4353	167	10	)	)	PUNCT
ejpam-4353	167	11	(	(	PUNCT
ejpam-4353	167	12	2022	2022	NUM
ejpam-4353	167	13	)	)	PUNCT
ejpam-4353	167	14	,	,	PUNCT
ejpam-4353	167	15	646	646	NUM
ejpam-4353	167	16	-	-	SYM
ejpam-4353	167	17	671	671	NUM
ejpam-4353	167	18	653	653	NUM
ejpam-4353	167	19	¬g̃	¬g̃	NOUN
ejpam-4353	167	20	=	=	SYM
ejpam-4353	167	21	{	{	PUNCT
ejpam-4353	167	22	(	(	PUNCT
ejpam-4353	167	23	φ	φ	PROPN
ejpam-4353	167	24	,	,	PUNCT
ejpam-4353	167	25	ς	ς	PROPN
ejpam-4353	167	26	)	)	PUNCT
ejpam-4353	167	27	,	,	PUNCT
ejpam-4353	167	28	(	(	PUNCT
ejpam-4353	167	29	λ1,¬ς	λ1,¬ς	NUM
ejpam-4353	167	30	)	)	PUNCT
ejpam-4353	167	31	,	,	PUNCT
ejpam-4353	167	32	(	(	PUNCT
ejpam-4353	167	33	λ2,¬ς	λ2,¬ς	NOUN
ejpam-4353	167	34	)	)	PUNCT
ejpam-4353	167	35	,	,	PUNCT
ejpam-4353	167	36	(	(	PUNCT
ejpam-4353	167	37	λ3,¬ς	λ3,¬ς	X
ejpam-4353	167	38	)	)	PUNCT
ejpam-4353	167	39	,	,	PUNCT
ejpam-4353	167	40	(	(	PUNCT
ejpam-4353	167	41	λ4,¬ς	λ4,¬ς	X
ejpam-4353	167	42	)	)	PUNCT
ejpam-4353	167	43	}	}	PUNCT
ejpam-4353	167	44	are	be	AUX
ejpam-4353	167	45	two	two	NUM
ejpam-4353	167	46	soft	soft	ADJ
ejpam-4353	167	47	generalized	generalized	ADJ
ejpam-4353	167	48	topologies	topology	NOUN
ejpam-4353	167	49	defined	define	VERB
ejpam-4353	167	50	on	on	ADP
ejpam-4353	167	51	ω	ω	PROPN
ejpam-4353	167	52	,	,	PUNCT
ejpam-4353	167	53	where	where	SCONJ
ejpam-4353	167	54	(	(	PUNCT
ejpam-4353	167	55	θ1	θ1	NOUN
ejpam-4353	167	56	,	,	PUNCT
ejpam-4353	167	57	ς	ς	NOUN
ejpam-4353	167	58	)	)	PUNCT
ejpam-4353	167	59	=	=	SYM
ejpam-4353	167	60	{	{	PUNCT
ejpam-4353	167	61	(	(	PUNCT
ejpam-4353	167	62	ϱ1	ϱ1	NOUN
ejpam-4353	167	63	,	,	PUNCT
ejpam-4353	167	64	{	{	PUNCT
ejpam-4353	167	65	ω2	ω2	ADJ
ejpam-4353	167	66	}	}	PUNCT
ejpam-4353	167	67	)	)	PUNCT
ejpam-4353	167	68	,	,	PUNCT
ejpam-4353	167	69	(	(	PUNCT
ejpam-4353	167	70	ϱ2	ϱ2	NOUN
ejpam-4353	167	71	,	,	PUNCT
ejpam-4353	167	72	{	{	PUNCT
ejpam-4353	167	73	ω1	ω1	PROPN
ejpam-4353	167	74	}	}	PUNCT
ejpam-4353	167	75	)	)	PUNCT
ejpam-4353	167	76	}	}	PUNCT
ejpam-4353	167	77	,	,	PUNCT
ejpam-4353	167	78	(	(	PUNCT
ejpam-4353	167	79	θ2	θ2	PROPN
ejpam-4353	167	80	,	,	PUNCT
ejpam-4353	167	81	ς	ς	PROPN
ejpam-4353	167	82	)	)	PUNCT
ejpam-4353	167	83	=	=	SYM
ejpam-4353	167	84	{	{	PUNCT
ejpam-4353	167	85	(	(	PUNCT
ejpam-4353	167	86	ϱ1	ϱ1	NOUN
ejpam-4353	167	87	,	,	PUNCT
ejpam-4353	167	88	{	{	PUNCT
ejpam-4353	167	89	ω1	ω1	PROPN
ejpam-4353	167	90	}	}	PUNCT
ejpam-4353	167	91	)	)	PUNCT
ejpam-4353	167	92	,	,	PUNCT
ejpam-4353	167	93	(	(	PUNCT
ejpam-4353	167	94	ϱ2	ϱ2	NOUN
ejpam-4353	167	95	,	,	PUNCT
ejpam-4353	167	96	{	{	PUNCT
ejpam-4353	167	97	ω3	ω3	NOUN
ejpam-4353	167	98	}	}	PUNCT
ejpam-4353	167	99	)	)	PUNCT
ejpam-4353	167	100	}	}	PUNCT
ejpam-4353	167	101	,	,	PUNCT
ejpam-4353	167	102	(	(	PUNCT
ejpam-4353	167	103	θ3	θ3	PROPN
ejpam-4353	167	104	,	,	PUNCT
ejpam-4353	167	105	ς	ς	PROPN
ejpam-4353	167	106	)	)	PUNCT
ejpam-4353	167	107	=	=	SYM
ejpam-4353	167	108	{	{	PUNCT
ejpam-4353	167	109	(	(	PUNCT
ejpam-4353	167	110	ϱ1	ϱ1	NOUN
ejpam-4353	167	111	,	,	PUNCT
ejpam-4353	167	112	{	{	PUNCT
ejpam-4353	167	113	ω2	ω2	ADJ
ejpam-4353	167	114	}	}	PUNCT
ejpam-4353	167	115	)	)	PUNCT
ejpam-4353	167	116	,	,	PUNCT
ejpam-4353	167	117	(	(	PUNCT
ejpam-4353	167	118	ϱ2	ϱ2	NOUN
ejpam-4353	167	119	,	,	PUNCT
ejpam-4353	167	120	{	{	PUNCT
ejpam-4353	167	121	ω1	ω1	PROPN
ejpam-4353	167	122	,	,	PUNCT
ejpam-4353	167	123	ω3	ω3	ADJ
ejpam-4353	167	124	}	}	PUNCT
ejpam-4353	167	125	)	)	PUNCT
ejpam-4353	167	126	}	}	PUNCT
ejpam-4353	167	127	,	,	PUNCT
ejpam-4353	167	128	(	(	PUNCT
ejpam-4353	167	129	θ4	θ4	NOUN
ejpam-4353	167	130	,	,	PUNCT
ejpam-4353	167	131	ς	ς	PROPN
ejpam-4353	167	132	)	)	PUNCT
ejpam-4353	167	133	=	=	SYM
ejpam-4353	167	134	{	{	PUNCT
ejpam-4353	167	135	(	(	PUNCT
ejpam-4353	167	136	ϱ1	ϱ1	NOUN
ejpam-4353	167	137	,	,	PUNCT
ejpam-4353	167	138	{	{	PUNCT
ejpam-4353	167	139	ω1	ω1	PROPN
ejpam-4353	167	140	,	,	PUNCT
ejpam-4353	167	141	h2	h2	NOUN
ejpam-4353	167	142	}	}	PUNCT
ejpam-4353	167	143	)	)	PUNCT
ejpam-4353	167	144	,	,	PUNCT
ejpam-4353	167	145	(	(	PUNCT
ejpam-4353	167	146	ϱ2	ϱ2	NOUN
ejpam-4353	167	147	,	,	PUNCT
ejpam-4353	167	148	{	{	PUNCT
ejpam-4353	167	149	ω1	ω1	PROPN
ejpam-4353	167	150	,	,	PUNCT
ejpam-4353	167	151	ω3	ω3	ADJ
ejpam-4353	167	152	}	}	PUNCT
ejpam-4353	167	153	)	)	PUNCT
ejpam-4353	167	154	}	}	PUNCT
ejpam-4353	167	155	,	,	PUNCT
ejpam-4353	167	156	and	and	CCONJ
ejpam-4353	167	157	(	(	PUNCT
ejpam-4353	167	158	λ1,¬ς	λ1,¬ς	X
ejpam-4353	167	159	)	)	PUNCT
ejpam-4353	167	160	=	=	SYM
ejpam-4353	167	161	{	{	PUNCT
ejpam-4353	167	162	(	(	PUNCT
ejpam-4353	167	163	¬ϱ1	¬ϱ1	NOUN
ejpam-4353	167	164	,	,	PUNCT
ejpam-4353	167	165	{	{	PUNCT
ejpam-4353	167	166	ω1	ω1	PROPN
ejpam-4353	167	167	,	,	PUNCT
ejpam-4353	167	168	ω3	ω3	NOUN
ejpam-4353	167	169	,	,	PUNCT
ejpam-4353	167	170	ω4	ω4	NUM
ejpam-4353	167	171	}	}	PUNCT
ejpam-4353	167	172	)	)	PUNCT
ejpam-4353	167	173	,	,	PUNCT
ejpam-4353	167	174	(	(	PUNCT
ejpam-4353	167	175	¬ϱ2	¬ϱ2	NOUN
ejpam-4353	167	176	,	,	PUNCT
ejpam-4353	167	177	{	{	PUNCT
ejpam-4353	167	178	ω2	ω2	ADJ
ejpam-4353	167	179	,	,	PUNCT
ejpam-4353	167	180	ω4	ω4	NUM
ejpam-4353	167	181	}	}	PUNCT
ejpam-4353	167	182	)	)	PUNCT
ejpam-4353	167	183	}	}	PUNCT
ejpam-4353	167	184	,	,	PUNCT
ejpam-4353	167	185	(	(	PUNCT
ejpam-4353	167	186	λ2,¬ς	λ2,¬ς	X
ejpam-4353	167	187	)	)	PUNCT
ejpam-4353	167	188	=	=	SYM
ejpam-4353	167	189	{	{	PUNCT
ejpam-4353	167	190	(	(	PUNCT
ejpam-4353	167	191	¬ϱ1	¬ϱ1	NOUN
ejpam-4353	167	192	,	,	PUNCT
ejpam-4353	167	193	{	{	PUNCT
ejpam-4353	167	194	ω3	ω3	NOUN
ejpam-4353	167	195	}	}	PUNCT
ejpam-4353	167	196	)	)	PUNCT
ejpam-4353	167	197	,	,	PUNCT
ejpam-4353	167	198	(	(	PUNCT
ejpam-4353	167	199	¬ϱ2	¬ϱ2	NOUN
ejpam-4353	167	200	,	,	PUNCT
ejpam-4353	167	201	{	{	PUNCT
ejpam-4353	167	202	ω4	ω4	NUM
ejpam-4353	167	203	}	}	PUNCT
ejpam-4353	167	204	)	)	PUNCT
ejpam-4353	167	205	}	}	PUNCT
ejpam-4353	167	206	,	,	PUNCT
ejpam-4353	167	207	(	(	PUNCT
ejpam-4353	167	208	λ3,¬ς	λ3,¬ς	X
ejpam-4353	167	209	)	)	PUNCT
ejpam-4353	167	210	=	=	PRON
ejpam-4353	167	211	{	{	PUNCT
ejpam-4353	167	212	(	(	PUNCT
ejpam-4353	167	213	¬ϱ1	¬ϱ1	NOUN
ejpam-4353	167	214	,	,	PUNCT
ejpam-4353	167	215	{	{	PUNCT
ejpam-4353	167	216	ω3	ω3	ADJ
ejpam-4353	167	217	,	,	PUNCT
ejpam-4353	167	218	ω4	ω4	NUM
ejpam-4353	167	219	}	}	PUNCT
ejpam-4353	167	220	)	)	PUNCT
ejpam-4353	167	221	,	,	PUNCT
ejpam-4353	167	222	(	(	PUNCT
ejpam-4353	167	223	¬ϱ2	¬ϱ2	NOUN
ejpam-4353	167	224	,	,	PUNCT
ejpam-4353	167	225	{	{	PUNCT
ejpam-4353	167	226	ω2	ω2	ADJ
ejpam-4353	167	227	}	}	PUNCT
ejpam-4353	167	228	)	)	PUNCT
ejpam-4353	167	229	}	}	PUNCT
ejpam-4353	167	230	,	,	PUNCT
ejpam-4353	167	231	(	(	PUNCT
ejpam-4353	167	232	λ4,¬ς	λ4,¬ς	X
ejpam-4353	167	233	)	)	PUNCT
ejpam-4353	167	234	=	=	SYM
ejpam-4353	167	235	{	{	PUNCT
ejpam-4353	167	236	(	(	PUNCT
ejpam-4353	167	237	¬ϱ1	¬ϱ1	NOUN
ejpam-4353	167	238	,	,	PUNCT
ejpam-4353	167	239	{	{	PUNCT
ejpam-4353	167	240	ω3	ω3	ADJ
ejpam-4353	167	241	,	,	PUNCT
ejpam-4353	167	242	ω4	ω4	NUM
ejpam-4353	167	243	}	}	PUNCT
ejpam-4353	167	244	)	)	PUNCT
ejpam-4353	167	245	,	,	PUNCT
ejpam-4353	167	246	(	(	PUNCT
ejpam-4353	167	247	¬ϱ2	¬ϱ2	NOUN
ejpam-4353	167	248	,	,	PUNCT
ejpam-4353	167	249	{	{	PUNCT
ejpam-4353	167	250	ω2	ω2	ADJ
ejpam-4353	167	251	,	,	PUNCT
ejpam-4353	167	252	ω4	ω4	NUM
ejpam-4353	167	253	}	}	PUNCT
ejpam-4353	167	254	)	)	PUNCT
ejpam-4353	167	255	}	}	PUNCT
ejpam-4353	167	256	.	.	PUNCT
ejpam-4353	168	1	then	then	ADV
ejpam-4353	168	2	˜̃g	˜̃g	PROPN
ejpam-4353	168	3	=	=	SYM
ejpam-4353	168	4	{	{	PUNCT
ejpam-4353	168	5	(	(	PUNCT
ejpam-4353	168	6	φ	φ	PROPN
ejpam-4353	168	7	,	,	PUNCT
ejpam-4353	168	8	˜̃ω	˜̃ω	PROPN
ejpam-4353	168	9	,	,	PUNCT
ejpam-4353	168	10	ς	ς	PROPN
ejpam-4353	168	11	)	)	PUNCT
ejpam-4353	168	12	,	,	PUNCT
ejpam-4353	168	13	(	(	PUNCT
ejpam-4353	168	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	168	15	,	,	PUNCT
ejpam-4353	168	16	ς	ς	PROPN
ejpam-4353	168	17	)	)	PUNCT
ejpam-4353	168	18	,	,	PUNCT
ejpam-4353	168	19	(	(	PUNCT
ejpam-4353	168	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	168	21	,	,	PUNCT
ejpam-4353	168	22	ς	ς	NOUN
ejpam-4353	168	23	)	)	PUNCT
ejpam-4353	168	24	,	,	PUNCT
ejpam-4353	168	25	(	(	PUNCT
ejpam-4353	168	26	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	168	27	,	,	PUNCT
ejpam-4353	168	28	ς	ς	PROPN
ejpam-4353	168	29	)	)	PUNCT
ejpam-4353	168	30	,	,	PUNCT
ejpam-4353	168	31	(	(	PUNCT
ejpam-4353	168	32	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	168	33	,	,	PUNCT
ejpam-4353	168	34	ς	ς	NOUN
ejpam-4353	168	35	}	}	PUNCT
ejpam-4353	168	36	,	,	PUNCT
ejpam-4353	168	37	where	where	SCONJ
ejpam-4353	168	38	(	(	PUNCT
ejpam-4353	168	39	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	168	40	,	,	PUNCT
ejpam-4353	168	41	ς	ς	NOUN
ejpam-4353	168	42	)	)	PUNCT
ejpam-4353	168	43	,	,	PUNCT
ejpam-4353	168	44	(	(	PUNCT
ejpam-4353	168	45	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	168	46	,	,	PUNCT
ejpam-4353	168	47	ς	ς	NOUN
ejpam-4353	168	48	)	)	PUNCT
ejpam-4353	168	49	,	,	PUNCT
ejpam-4353	168	50	(	(	PUNCT
ejpam-4353	168	51	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	168	52	,	,	PUNCT
ejpam-4353	168	53	ς	ς	PROPN
ejpam-4353	168	54	)	)	PUNCT
ejpam-4353	168	55	and	and	CCONJ
ejpam-4353	168	56	(	(	PUNCT
ejpam-4353	168	57	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	168	58	,	,	PUNCT
ejpam-4353	168	59	ς	ς	NOUN
ejpam-4353	168	60	)	)	PUNCT
ejpam-4353	168	61	are	be	AUX
ejpam-4353	168	62	bipolar	bipolar	ADJ
ejpam-4353	168	63	soft	soft	ADJ
ejpam-4353	168	64	sets	set	NOUN
ejpam-4353	168	65	defined	define	VERB
ejpam-4353	168	66	as	as	ADP
ejpam-4353	168	67	follows	follow	VERB
ejpam-4353	168	68	(	(	PUNCT
ejpam-4353	168	69	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	168	70	,	,	PUNCT
ejpam-4353	168	71	ς	ς	NOUN
ejpam-4353	168	72	)	)	PUNCT
ejpam-4353	168	73	=	=	SYM
ejpam-4353	168	74	{	{	PUNCT
ejpam-4353	168	75	(	(	PUNCT
ejpam-4353	168	76	ϱ1	ϱ1	NOUN
ejpam-4353	168	77	,	,	PUNCT
ejpam-4353	168	78	{	{	PUNCT
ejpam-4353	168	79	ω2	ω2	ADV
ejpam-4353	168	80	}	}	PUNCT
ejpam-4353	168	81	,	,	PUNCT
ejpam-4353	168	82	{	{	PUNCT
ejpam-4353	168	83	ω1	ω1	PROPN
ejpam-4353	168	84	,	,	PUNCT
ejpam-4353	168	85	ω3	ω3	NOUN
ejpam-4353	168	86	,	,	PUNCT
ejpam-4353	168	87	ω4	ω4	NUM
ejpam-4353	168	88	}	}	PUNCT
ejpam-4353	168	89	)	)	PUNCT
ejpam-4353	168	90	,	,	PUNCT
ejpam-4353	168	91	(	(	PUNCT
ejpam-4353	168	92	ϱ2	ϱ2	NOUN
ejpam-4353	168	93	,	,	PUNCT
ejpam-4353	168	94	{	{	PUNCT
ejpam-4353	168	95	ω1	ω1	PROPN
ejpam-4353	168	96	}	}	PUNCT
ejpam-4353	168	97	,	,	PUNCT
ejpam-4353	168	98	{	{	PUNCT
ejpam-4353	168	99	ω2	ω2	ADJ
ejpam-4353	168	100	,	,	PUNCT
ejpam-4353	168	101	ω4	ω4	NUM
ejpam-4353	168	102	}	}	PUNCT
ejpam-4353	168	103	)	)	PUNCT
ejpam-4353	168	104	}	}	PUNCT
ejpam-4353	168	105	,	,	PUNCT
ejpam-4353	168	106	(	(	PUNCT
ejpam-4353	168	107	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	168	108	,	,	PUNCT
ejpam-4353	168	109	ς	ς	NOUN
ejpam-4353	168	110	)	)	PUNCT
ejpam-4353	168	111	=	=	SYM
ejpam-4353	168	112	{	{	PUNCT
ejpam-4353	168	113	(	(	PUNCT
ejpam-4353	168	114	ϱ1	ϱ1	NOUN
ejpam-4353	168	115	,	,	PUNCT
ejpam-4353	168	116	{	{	PUNCT
ejpam-4353	168	117	ω1	ω1	PROPN
ejpam-4353	168	118	}	}	PUNCT
ejpam-4353	168	119	,	,	PUNCT
ejpam-4353	168	120	{	{	PUNCT
ejpam-4353	168	121	ω3	ω3	NOUN
ejpam-4353	168	122	}	}	PUNCT
ejpam-4353	168	123	)	)	PUNCT
ejpam-4353	168	124	,	,	PUNCT
ejpam-4353	168	125	(	(	PUNCT
ejpam-4353	168	126	ϱ2	ϱ2	NOUN
ejpam-4353	168	127	,	,	PUNCT
ejpam-4353	168	128	{	{	PUNCT
ejpam-4353	168	129	ω3	ω3	NOUN
ejpam-4353	168	130	}	}	PUNCT
ejpam-4353	168	131	,	,	PUNCT
ejpam-4353	168	132	{	{	PUNCT
ejpam-4353	168	133	ω4	ω4	NUM
ejpam-4353	168	134	}	}	PUNCT
ejpam-4353	168	135	)	)	PUNCT
ejpam-4353	168	136	}	}	PUNCT
ejpam-4353	168	137	,	,	PUNCT
ejpam-4353	168	138	(	(	PUNCT
ejpam-4353	168	139	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	168	140	,	,	PUNCT
ejpam-4353	168	141	ς	ς	NOUN
ejpam-4353	168	142	)	)	PUNCT
ejpam-4353	168	143	=	=	SYM
ejpam-4353	168	144	{	{	PUNCT
ejpam-4353	168	145	(	(	PUNCT
ejpam-4353	168	146	ϱ1	ϱ1	NOUN
ejpam-4353	168	147	,	,	PUNCT
ejpam-4353	168	148	{	{	PUNCT
ejpam-4353	168	149	ω2}.{ω3	ω2}.{ω3	ADJ
ejpam-4353	168	150	,	,	PUNCT
ejpam-4353	168	151	ω4	ω4	NUM
ejpam-4353	168	152	}	}	PUNCT
ejpam-4353	168	153	)	)	PUNCT
ejpam-4353	168	154	,	,	PUNCT
ejpam-4353	168	155	(	(	PUNCT
ejpam-4353	168	156	ϱ2	ϱ2	NOUN
ejpam-4353	168	157	,	,	PUNCT
ejpam-4353	168	158	{	{	PUNCT
ejpam-4353	168	159	ω1	ω1	PROPN
ejpam-4353	168	160	,	,	PUNCT
ejpam-4353	168	161	ω3	ω3	PROPN
ejpam-4353	168	162	}	}	PUNCT
ejpam-4353	168	163	,	,	PUNCT
ejpam-4353	168	164	{	{	PUNCT
ejpam-4353	168	165	ω2	ω2	ADJ
ejpam-4353	168	166	}	}	PUNCT
ejpam-4353	168	167	)	)	PUNCT
ejpam-4353	168	168	}	}	PUNCT
ejpam-4353	168	169	,	,	PUNCT
ejpam-4353	168	170	(	(	PUNCT
ejpam-4353	168	171	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	168	172	,	,	PUNCT
ejpam-4353	168	173	ς	ς	NOUN
ejpam-4353	168	174	)	)	PUNCT
ejpam-4353	168	175	=	=	SYM
ejpam-4353	168	176	{	{	PUNCT
ejpam-4353	168	177	(	(	PUNCT
ejpam-4353	168	178	ϱ1	ϱ1	NOUN
ejpam-4353	168	179	,	,	PUNCT
ejpam-4353	168	180	{	{	PUNCT
ejpam-4353	168	181	ω1	ω1	PROPN
ejpam-4353	168	182	,	,	PUNCT
ejpam-4353	168	183	ω2	ω2	ADJ
ejpam-4353	168	184	}	}	PUNCT
ejpam-4353	168	185	,	,	PUNCT
ejpam-4353	168	186	{	{	PUNCT
ejpam-4353	168	187	ω3	ω3	ADJ
ejpam-4353	168	188	,	,	PUNCT
ejpam-4353	168	189	ω4	ω4	NUM
ejpam-4353	168	190	}	}	PUNCT
ejpam-4353	168	191	)	)	PUNCT
ejpam-4353	168	192	,	,	PUNCT
ejpam-4353	168	193	(	(	PUNCT
ejpam-4353	168	194	ϱ2	ϱ2	NOUN
ejpam-4353	168	195	,	,	PUNCT
ejpam-4353	168	196	{	{	PUNCT
ejpam-4353	168	197	ω1	ω1	PROPN
ejpam-4353	168	198	,	,	PUNCT
ejpam-4353	168	199	ω3	ω3	PROPN
ejpam-4353	168	200	}	}	PUNCT
ejpam-4353	168	201	,	,	PUNCT
ejpam-4353	168	202	{	{	PUNCT
ejpam-4353	168	203	ω2	ω2	ADJ
ejpam-4353	168	204	,	,	PUNCT
ejpam-4353	168	205	ω4	ω4	NUM
ejpam-4353	168	206	}	}	PUNCT
ejpam-4353	168	207	)	)	PUNCT
ejpam-4353	168	208	}	}	PUNCT
ejpam-4353	168	209	.	.	PUNCT
ejpam-4353	169	1	thus	thus	ADV
ejpam-4353	169	2	,	,	PUNCT
ejpam-4353	169	3	(	(	PUNCT
ejpam-4353	169	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	169	5	,	,	PUNCT
ejpam-4353	169	6	ς	ς	PROPN
ejpam-4353	169	7	)	)	PUNCT
ejpam-4353	169	8	˜̃∪	˜̃∪	PROPN
ejpam-4353	169	9	(	(	PUNCT
ejpam-4353	169	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	169	11	,	,	PUNCT
ejpam-4353	169	12	ς	ς	NOUN
ejpam-4353	169	13	)	)	PUNCT
ejpam-4353	169	14	=	=	SYM
ejpam-4353	169	15	{	{	PUNCT
ejpam-4353	169	16	(	(	PUNCT
ejpam-4353	169	17	ϱ1	ϱ1	NOUN
ejpam-4353	169	18	,	,	PUNCT
ejpam-4353	169	19	{	{	PUNCT
ejpam-4353	169	20	ω1	ω1	PROPN
ejpam-4353	169	21	,	,	PUNCT
ejpam-4353	169	22	ω2	ω2	ADJ
ejpam-4353	169	23	}	}	PUNCT
ejpam-4353	169	24	,	,	PUNCT
ejpam-4353	169	25	{	{	PUNCT
ejpam-4353	169	26	ω3	ω3	NOUN
ejpam-4353	169	27	}	}	PUNCT
ejpam-4353	169	28	)	)	PUNCT
ejpam-4353	169	29	,	,	PUNCT
ejpam-4353	169	30	(	(	PUNCT
ejpam-4353	169	31	ϱ2	ϱ2	NOUN
ejpam-4353	169	32	,	,	PUNCT
ejpam-4353	169	33	{	{	PUNCT
ejpam-4353	169	34	ω1	ω1	PROPN
ejpam-4353	169	35	,	,	PUNCT
ejpam-4353	169	36	ω3	ω3	PROPN
ejpam-4353	169	37	}	}	PUNCT
ejpam-4353	169	38	,	,	PUNCT
ejpam-4353	169	39	{	{	PUNCT
ejpam-4353	169	40	ω4	ω4	NUM
ejpam-4353	169	41	}	}	PUNCT
ejpam-4353	169	42	)	)	PUNCT
ejpam-4353	169	43	}	}	PUNCT
ejpam-4353	169	44	˜̃	˜̃	NOUN
ejpam-4353	169	45	/∈	/∈	NOUN
ejpam-4353	170	1	˜̃g	˜̃g	PROPN
ejpam-4353	170	2	.	.	PUNCT
ejpam-4353	170	3	therefore,˜̃g	therefore,˜̃g	PROPN
ejpam-4353	170	4	is	be	AUX
ejpam-4353	170	5	not	not	PART
ejpam-4353	170	6	bsgt	bsgt	NOUN
ejpam-4353	170	7	.	.	PUNCT
ejpam-4353	171	1	the	the	DET
ejpam-4353	171	2	following	follow	VERB
ejpam-4353	171	3	theorem	theorem	NOUN
ejpam-4353	171	4	shows	show	NOUN
ejpam-4353	171	5	when	when	SCONJ
ejpam-4353	171	6	that	that	DET
ejpam-4353	171	7	converse	converse	NOUN
ejpam-4353	171	8	of	of	ADP
ejpam-4353	171	9	theorem	theorem	NOUN
ejpam-4353	171	10	1	1	NUM
ejpam-4353	171	11	is	be	AUX
ejpam-4353	171	12	true	true	ADJ
ejpam-4353	171	13	.	.	PUNCT
ejpam-4353	172	1	theorem	theorem	NOUN
ejpam-4353	172	2	2	2	NUM
ejpam-4353	172	3	.	.	X
ejpam-4353	173	1	let	let	AUX
ejpam-4353	173	2	(	(	PUNCT
ejpam-4353	173	3	ω	ω	NOUN
ejpam-4353	173	4	,	,	PUNCT
ejpam-4353	173	5	g̃	g̃	PROPN
ejpam-4353	173	6	,	,	PUNCT
ejpam-4353	173	7	ς	ς	NOUN
ejpam-4353	173	8	)	)	PUNCT
ejpam-4353	173	9	be	be	AUX
ejpam-4353	173	10	a	a	DET
ejpam-4353	173	11	sgt	sgt	PROPN
ejpam-4353	173	12	.	.	PUNCT
ejpam-4353	174	1	then	then	ADV
ejpam-4353	174	2	the	the	DET
ejpam-4353	174	3	collection	collection	NOUN
ejpam-4353	174	4	˜̃g	˜̃g	PROPN
ejpam-4353	174	5	consisting	consist	VERB
ejpam-4353	174	6	of	of	ADP
ejpam-4353	174	7	bipolar	bipolar	ADJ
ejpam-4353	174	8	soft	soft	ADJ
ejpam-4353	174	9	sets	set	NOUN
ejpam-4353	174	10	(	(	PUNCT
ejpam-4353	174	11	θ	θ	NOUN
ejpam-4353	174	12	,	,	PUNCT
ejpam-4353	174	13	λ	λ	PROPN
ejpam-4353	174	14	,	,	PUNCT
ejpam-4353	174	15	ς	ς	NOUN
ejpam-4353	174	16	)	)	PUNCT
ejpam-4353	174	17	such	such	ADJ
ejpam-4353	174	18	that	that	SCONJ
ejpam-4353	174	19	(	(	PUNCT
ejpam-4353	174	20	θ	θ	NOUN
ejpam-4353	174	21	,	,	PUNCT
ejpam-4353	174	22	ς	ς	NOUN
ejpam-4353	174	23	)	)	PUNCT
ejpam-4353	174	24	∈̃	∈̃	PROPN
ejpam-4353	174	25	g̃	g̃	PROPN
ejpam-4353	174	26	and	and	CCONJ
ejpam-4353	174	27	λ(¬ϱ	λ(¬ϱ	PROPN
ejpam-4353	174	28	)	)	PUNCT
ejpam-4353	174	29	=	=	SYM
ejpam-4353	174	30	ω	ω	PROPN
ejpam-4353	174	31	\θ(ϱ	\θ(ϱ	NOUN
ejpam-4353	174	32	)	)	PUNCT
ejpam-4353	174	33	for	for	ADP
ejpam-4353	174	34	all	all	DET
ejpam-4353	174	35	¬ϱ	¬ϱ	PROPN
ejpam-4353	174	36	∈	∈	PROPN
ejpam-4353	174	37	¬ς	¬ς	NOUN
ejpam-4353	174	38	,	,	PUNCT
ejpam-4353	174	39	defines	define	VERB
ejpam-4353	174	40	a	a	DET
ejpam-4353	174	41	bsgt	bsgt	NOUN
ejpam-4353	174	42	on	on	ADP
ejpam-4353	174	43	ω	ω	NUM
ejpam-4353	174	44	.	.	PUNCT
ejpam-4353	175	1	proof	proof	NOUN
ejpam-4353	175	2	.	.	PUNCT
ejpam-4353	176	1	(	(	PUNCT
ejpam-4353	176	2	i	i	NOUN
ejpam-4353	176	3	)	)	PUNCT
ejpam-4353	176	4	since	since	SCONJ
ejpam-4353	176	5	(	(	PUNCT
ejpam-4353	176	6	φ	φ	PROPN
ejpam-4353	176	7	,	,	PUNCT
ejpam-4353	176	8	ς	ς	NOUN
ejpam-4353	176	9	)	)	PUNCT
ejpam-4353	176	10	∈̃	∈̃	PROPN
ejpam-4353	176	11	g̃	g̃	PROPN
ejpam-4353	176	12	,	,	PUNCT
ejpam-4353	176	13	then	then	ADV
ejpam-4353	176	14	ω(¬ϱ	ω(¬ϱ	PROPN
ejpam-4353	176	15	)	)	PUNCT
ejpam-4353	176	16	=	=	PUNCT
ejpam-4353	176	17	ω	ω	NUM
ejpam-4353	176	18	\	\	PROPN
ejpam-4353	176	19	φ(ϱ	φ(ϱ	PROPN
ejpam-4353	176	20	)	)	PUNCT
ejpam-4353	176	21	=	=	SYM
ejpam-4353	177	1	ω	ω	NUM
ejpam-4353	177	2	\	\	PROPN
ejpam-4353	177	3	ϕ	ϕ	PROPN
ejpam-4353	177	4	=	=	SYM
ejpam-4353	177	5	ω	ω	PROPN
ejpam-4353	177	6	and	and	CCONJ
ejpam-4353	177	7	hence	hence	ADV
ejpam-4353	177	8	(	(	PUNCT
ejpam-4353	177	9	φ	φ	PROPN
ejpam-4353	177	10	,	,	PUNCT
ejpam-4353	177	11	˜̃	˜̃	NOUN
ejpam-4353	177	12	ω	ω	PROPN
ejpam-4353	177	13	,	,	PUNCT
ejpam-4353	177	14	ς	ς	PROPN
ejpam-4353	177	15	)	)	PUNCT
ejpam-4353	177	16	˜̃∈	˜̃∈	PROPN
ejpam-4353	177	17	˜̃g	˜̃g	PROPN
ejpam-4353	177	18	.	.	PUNCT
ejpam-4353	178	1	(	(	PUNCT
ejpam-4353	178	2	ii	ii	NOUN
ejpam-4353	178	3	)	)	PUNCT
ejpam-4353	178	4	let	let	VERB
ejpam-4353	178	5	{	{	PUNCT
ejpam-4353	178	6	(	(	PUNCT
ejpam-4353	178	7	θi	θi	X
ejpam-4353	178	8	,	,	PUNCT
ejpam-4353	178	9	λi	λi	NOUN
ejpam-4353	178	10	,	,	PUNCT
ejpam-4353	178	11	ς	ς	PROPN
ejpam-4353	178	12	)	)	PUNCT
ejpam-4353	178	13	:	:	PUNCT
ejpam-4353	179	1	i	i	PRON
ejpam-4353	179	2	∈	∈	VERB
ejpam-4353	179	3	i	i	PRON
ejpam-4353	179	4	}	}	PUNCT
ejpam-4353	179	5	˜̃∈	˜̃∈	PROPN
ejpam-4353	179	6	˜̃g	˜̃g	PROPN
ejpam-4353	179	7	.	.	PUNCT
ejpam-4353	180	1	then	then	ADV
ejpam-4353	180	2	{	{	PUNCT
ejpam-4353	180	3	(	(	PUNCT
ejpam-4353	180	4	θi	θi	X
ejpam-4353	180	5	,	,	PUNCT
ejpam-4353	180	6	ς	ς	PROPN
ejpam-4353	180	7	)	)	PUNCT
ejpam-4353	180	8	:	:	PUNCT
ejpam-4353	180	9	i	i	PRON
ejpam-4353	180	10	∈	∈	VERB
ejpam-4353	180	11	i	i	PRON
ejpam-4353	180	12	}	}	PUNCT
ejpam-4353	180	13	∈̃	∈̃	PROPN
ejpam-4353	180	14	g̃	g̃	PROPN
ejpam-4353	180	15	and	and	CCONJ
ejpam-4353	180	16	λi(¬ϱ	λi(¬ϱ	PROPN
ejpam-4353	180	17	)	)	PUNCT
ejpam-4353	180	18	=	=	SYM
ejpam-4353	180	19	ω	ω	NUM
ejpam-4353	180	20	\	\	PROPN
ejpam-4353	180	21	θi(ϱ	θi(ϱ	PROPN
ejpam-4353	180	22	)	)	PUNCT
ejpam-4353	180	23	.	.	PUNCT
ejpam-4353	181	1	now	now	ADV
ejpam-4353	181	2	,	,	PUNCT
ejpam-4353	181	3	since	since	SCONJ
ejpam-4353	181	4	g̃	g̃	PROPN
ejpam-4353	181	5	is	be	AUX
ejpam-4353	181	6	a	a	DET
ejpam-4353	181	7	sgt	sgt	PROPN
ejpam-4353	181	8	,	,	PUNCT
ejpam-4353	181	9	then	then	ADV
ejpam-4353	181	10	⋃̃	⋃̃	PROPN
ejpam-4353	181	11	i∈i(θi	i∈i(θi	PROPN
ejpam-4353	181	12	,	,	PUNCT
ejpam-4353	181	13	ς	ς	NOUN
ejpam-4353	181	14	)	)	PUNCT
ejpam-4353	181	15	∈̃	∈̃	PROPN
ejpam-4353	181	16	g̃.	g̃.	ADV
ejpam-4353	181	17	let	let	VERB
ejpam-4353	181	18	(	(	PUNCT
ejpam-4353	181	19	θ	θ	NOUN
ejpam-4353	181	20	,	,	PUNCT
ejpam-4353	181	21	ς	ς	NOUN
ejpam-4353	181	22	)	)	PUNCT
ejpam-4353	181	23	=	=	PUNCT
ejpam-4353	181	24	⋃̃	⋃̃	PROPN
ejpam-4353	181	25	i∈i(θi	i∈i(θi	PROPN
ejpam-4353	181	26	,	,	PUNCT
ejpam-4353	181	27	ς	ς	NOUN
ejpam-4353	181	28	)	)	PUNCT
ejpam-4353	181	29	∈̃	∈̃	PROPN
ejpam-4353	181	30	g̃	g̃	PROPN
ejpam-4353	181	31	,	,	PUNCT
ejpam-4353	181	32	then	then	ADV
ejpam-4353	181	33	ς(¬ϱ	ς(¬ϱ	PROPN
ejpam-4353	181	34	)	)	PUNCT
ejpam-4353	181	35	=	=	SYM
ejpam-4353	181	36	ω	ω	X
ejpam-4353	181	37	\	\	X
ejpam-4353	181	38	(	(	PUNCT
ejpam-4353	181	39	⋃	⋃	PROPN
ejpam-4353	181	40	i∈iθi(ϱ	i∈iθi(ϱ	PROPN
ejpam-4353	181	41	)	)	PUNCT
ejpam-4353	181	42	)	)	PUNCT
ejpam-4353	182	1	=	=	PUNCT
ejpam-4353	182	2	⋂	⋂	PROPN
ejpam-4353	182	3	i∈iλi(¬ϱ	i∈iλi(¬ϱ	PROPN
ejpam-4353	182	4	)	)	PUNCT
ejpam-4353	182	5	.	.	PUNCT
ejpam-4353	183	1	thus	thus	ADV
ejpam-4353	183	2	,	,	PUNCT
ejpam-4353	183	3	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	183	4	i∈i(θi	i∈i(θi	PROPN
ejpam-4353	183	5	,	,	PUNCT
ejpam-4353	183	6	λi	λi	NOUN
ejpam-4353	183	7	,	,	PUNCT
ejpam-4353	183	8	ς	ς	NOUN
ejpam-4353	183	9	)	)	PUNCT
ejpam-4353	183	10	˜̃∈	˜̃∈	PROPN
ejpam-4353	183	11	˜̃g	˜̃g	PROPN
ejpam-4353	183	12	.	.	PUNCT
ejpam-4353	184	1	therefore	therefore	ADV
ejpam-4353	184	2	,	,	PUNCT
ejpam-4353	184	3	the	the	DET
ejpam-4353	184	4	proof	proof	NOUN
ejpam-4353	184	5	is	be	AUX
ejpam-4353	184	6	completed	complete	VERB
ejpam-4353	184	7	.	.	PUNCT
ejpam-4353	185	1	theorem	theorem	NOUN
ejpam-4353	185	2	3	3	X
ejpam-4353	185	3	.	.	PUNCT
ejpam-4353	186	1	let	let	AUX
ejpam-4353	186	2	(	(	PUNCT
ejpam-4353	186	3	ω	ω	NOUN
ejpam-4353	186	4	,	,	PUNCT
ejpam-4353	186	5	˜̃g	˜̃g	PROPN
ejpam-4353	186	6	,	,	PUNCT
ejpam-4353	186	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	186	8	)	)	PUNCT
ejpam-4353	186	9	be	be	VERB
ejpam-4353	186	10	a	a	DET
ejpam-4353	186	11	bsgt	bsgt	NOUN
ejpam-4353	186	12	s	s	PRON
ejpam-4353	186	13	and	and	CCONJ
ejpam-4353	186	14	{	{	PUNCT
ejpam-4353	186	15	˜̃gi}i∈i	˜̃gi}i∈i	VERB
ejpam-4353	186	16	be	be	VERB
ejpam-4353	186	17	an	an	DET
ejpam-4353	186	18	indexed	indexed	ADJ
ejpam-4353	186	19	family	family	NOUN
ejpam-4353	186	20	of	of	ADP
ejpam-4353	186	21	bsgt	bsgt	NOUN
ejpam-4353	186	22	s.	s.	PROPN
ejpam-4353	187	1	then	then	ADV
ejpam-4353	187	2	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	187	3	i∈i	i∈i	ADJ
ejpam-4353	187	4	˜̃g	˜̃g	PROPN
ejpam-4353	187	5	is	be	AUX
ejpam-4353	187	6	a	a	DET
ejpam-4353	187	7	bsgt	bsgt	NOUN
ejpam-4353	187	8	,	,	PUNCT
ejpam-4353	187	9	where	where	SCONJ
ejpam-4353	187	10	each	each	DET
ejpam-4353	187	11	˜̃gi	˜̃gi	PROPN
ejpam-4353	187	12	is	be	AUX
ejpam-4353	187	13	bipolar	bipolar	ADJ
ejpam-4353	187	14	soft	soft	ADJ
ejpam-4353	187	15	finer	fine	ADJ
ejpam-4353	187	16	than	than	ADP
ejpam-4353	187	17	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	187	18	i∈i	i∈i	ADJ
ejpam-4353	187	19	˜̃gi	˜̃gi	PROPN
ejpam-4353	187	20	for	for	ADP
ejpam-4353	187	21	each	each	DET
ejpam-4353	187	22	i.	i.	PROPN
ejpam-4353	187	23	h.	h.	PROPN
ejpam-4353	187	24	y.	y.	PROPN
ejpam-4353	187	25	saleh	saleh	PROPN
ejpam-4353	187	26	,	,	PUNCT
ejpam-4353	187	27	b.	b.	PROPN
ejpam-4353	187	28	a.	a.	PROPN
ejpam-4353	187	29	asaad	asaad	PROPN
ejpam-4353	187	30	,	,	PUNCT
ejpam-4353	187	31	r.	r.	PROPN
ejpam-4353	187	32	a.	a.	PROPN
ejpam-4353	187	33	mohammed	mohammed	PROPN
ejpam-4353	187	34	/	/	SYM
ejpam-4353	187	35	eur	eur	PROPN
ejpam-4353	187	36	.	.	PUNCT
ejpam-4353	188	1	j.	j.	PROPN
ejpam-4353	188	2	pure	pure	PROPN
ejpam-4353	188	3	appl	appl	PROPN
ejpam-4353	188	4	.	.	PROPN
ejpam-4353	188	5	math	math	PROPN
ejpam-4353	188	6	,	,	PUNCT
ejpam-4353	188	7	15	15	NUM
ejpam-4353	188	8	(	(	PUNCT
ejpam-4353	188	9	2	2	NUM
ejpam-4353	188	10	)	)	PUNCT
ejpam-4353	188	11	(	(	PUNCT
ejpam-4353	188	12	2022	2022	NUM
ejpam-4353	188	13	)	)	PUNCT
ejpam-4353	188	14	,	,	PUNCT
ejpam-4353	188	15	646	646	NUM
ejpam-4353	188	16	-	-	SYM
ejpam-4353	188	17	671	671	NUM
ejpam-4353	188	18	654	654	NUM
ejpam-4353	188	19	proof	proof	NOUN
ejpam-4353	188	20	.	.	PUNCT
ejpam-4353	189	1	since	since	SCONJ
ejpam-4353	189	2	each	each	PRON
ejpam-4353	189	3	{	{	PUNCT
ejpam-4353	189	4	˜̃gi	˜̃gi	PROPN
ejpam-4353	189	5	}	}	PUNCT
ejpam-4353	189	6	,	,	PUNCT
ejpam-4353	189	7	i	i	PRON
ejpam-4353	189	8	∈	∈	VERB
ejpam-4353	189	9	i	i	PRON
ejpam-4353	189	10	is	be	AUX
ejpam-4353	189	11	a	a	DET
ejpam-4353	189	12	bsgt	bsgt	NOUN
ejpam-4353	189	13	over	over	ADP
ejpam-4353	189	14	ω	ω	PROPN
ejpam-4353	189	15	,	,	PUNCT
ejpam-4353	189	16	the	the	DET
ejpam-4353	189	17	bipolar	bipolar	ADJ
ejpam-4353	189	18	soft	soft	ADJ
ejpam-4353	189	19	set	set	NOUN
ejpam-4353	189	20	(	(	PUNCT
ejpam-4353	189	21	φ	φ	PROPN
ejpam-4353	189	22	,	,	PUNCT
ejpam-4353	189	23	˜̃	˜̃	NOUN
ejpam-4353	189	24	ω	ω	PROPN
ejpam-4353	189	25	,	,	PUNCT
ejpam-4353	189	26	ς	ς	PROPN
ejpam-4353	189	27	)	)	PUNCT
ejpam-4353	189	28	˜̃∈	˜̃∈	PROPN
ejpam-4353	189	29	˜̃gi	˜̃gi	PROPN
ejpam-4353	189	30	,	,	PUNCT
ejpam-4353	189	31	i	i	PRON
ejpam-4353	189	32	∈	∈	VERB
ejpam-4353	190	1	i	i	PRON
ejpam-4353	190	2	and	and	CCONJ
ejpam-4353	190	3	hence	hence	ADV
ejpam-4353	190	4	(	(	PUNCT
ejpam-4353	190	5	φ	φ	PROPN
ejpam-4353	190	6	,	,	PUNCT
ejpam-4353	190	7	˜̃	˜̃	NOUN
ejpam-4353	190	8	ω	ω	PROPN
ejpam-4353	190	9	,	,	PUNCT
ejpam-4353	190	10	ς	ς	NOUN
ejpam-4353	190	11	)	)	PUNCT
ejpam-4353	190	12	˜̃∈	˜̃∈	PROPN
ejpam-4353	190	13	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	190	14	i∈i	i∈i	ADJ
ejpam-4353	190	15	˜̃gi	˜̃gi	PROPN
ejpam-4353	190	16	.	.	PUNCT
ejpam-4353	191	1	let	let	VERB
ejpam-4353	191	2	{	{	PUNCT
ejpam-4353	191	3	(	(	PUNCT
ejpam-4353	191	4	θj	θj	INTJ
ejpam-4353	191	5	,	,	PUNCT
ejpam-4353	191	6	λj	λj	PROPN
ejpam-4353	191	7	,	,	PUNCT
ejpam-4353	191	8	ς	ς	PROPN
ejpam-4353	191	9	)	)	PUNCT
ejpam-4353	191	10	:	:	PUNCT
ejpam-4353	192	1	j	j	PROPN
ejpam-4353	192	2	∈	∈	PROPN
ejpam-4353	192	3	j	j	PROPN
ejpam-4353	192	4	}	}	PUNCT
ejpam-4353	192	5	be	be	AUX
ejpam-4353	192	6	a	a	DET
ejpam-4353	192	7	family	family	NOUN
ejpam-4353	192	8	of	of	ADP
ejpam-4353	192	9	bipolar	bipolar	ADJ
ejpam-4353	192	10	soft	soft	ADJ
ejpam-4353	192	11	sets	set	NOUN
ejpam-4353	192	12	in	in	ADP
ejpam-4353	192	13	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	192	14	i∈i	i∈i	ADJ
ejpam-4353	192	15	˜̃gi	˜̃gi	PROPN
ejpam-4353	192	16	.	.	PUNCT
ejpam-4353	193	1	then	then	ADV
ejpam-4353	193	2	each	each	PRON
ejpam-4353	193	3	(	(	PUNCT
ejpam-4353	193	4	θj	θj	INTJ
ejpam-4353	193	5	,	,	PUNCT
ejpam-4353	193	6	λj	λj	PROPN
ejpam-4353	193	7	,	,	PUNCT
ejpam-4353	193	8	ς	ς	PROPN
ejpam-4353	193	9	)	)	PUNCT
ejpam-4353	193	10	belongs	belong	VERB
ejpam-4353	193	11	to	to	ADP
ejpam-4353	193	12	each	each	DET
ejpam-4353	193	13	˜̃gi	˜̃gi	PROPN
ejpam-4353	193	14	.	.	PUNCT
ejpam-4353	194	1	but	but	CCONJ
ejpam-4353	194	2	˜̃gi	˜̃gi	PROPN
ejpam-4353	194	3	being	be	AUX
ejpam-4353	194	4	bsgt	bsgt	NOUN
ejpam-4353	194	5	is	be	AUX
ejpam-4353	194	6	closed	close	VERB
ejpam-4353	194	7	under	under	ADP
ejpam-4353	194	8	arbitrary	arbitrary	ADJ
ejpam-4353	194	9	bipolar	bipolar	ADJ
ejpam-4353	194	10	soft	soft	ADJ
ejpam-4353	194	11	unions	union	NOUN
ejpam-4353	194	12	.	.	PUNCT
ejpam-4353	195	1	so	so	ADV
ejpam-4353	195	2	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	195	3	j∈j	j∈j	NOUN
ejpam-4353	195	4	(	(	PUNCT
ejpam-4353	195	5	θj	θj	INTJ
ejpam-4353	195	6	,	,	PUNCT
ejpam-4353	195	7	λj	λj	PROPN
ejpam-4353	195	8	,	,	PUNCT
ejpam-4353	195	9	ς	ς	PROPN
ejpam-4353	195	10	)	)	PUNCT
ejpam-4353	195	11	˜̃∈	˜̃∈	PROPN
ejpam-4353	195	12	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	195	13	i∈i	i∈i	ADJ
ejpam-4353	195	14	˜̃gi	˜̃gi	PROPN
ejpam-4353	195	15	.	.	PUNCT
ejpam-4353	196	1	hence	hence	ADV
ejpam-4353	196	2	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	196	3	i∈i	i∈i	ADJ
ejpam-4353	196	4	˜̃gi	˜̃gi	PROPN
ejpam-4353	196	5	is	be	AUX
ejpam-4353	196	6	a	a	DET
ejpam-4353	196	7	bsgt	bsgt	NOUN
ejpam-4353	196	8	define	define	VERB
ejpam-4353	196	9	on	on	ADP
ejpam-4353	196	10	ω	ω	PROPN
ejpam-4353	196	11	.	.	PUNCT
ejpam-4353	197	1	clearly	clearly	ADV
ejpam-4353	197	2	each	each	DET
ejpam-4353	197	3	˜̃gi	˜̃gi	PROPN
ejpam-4353	197	4	,	,	PUNCT
ejpam-4353	197	5	i	i	PROPN
ejpam-4353	197	6	∈	∈	VERB
ejpam-4353	197	7	i	i	PRON
ejpam-4353	197	8	,	,	PUNCT
ejpam-4353	197	9	is	be	AUX
ejpam-4353	197	10	bipolar	bipolar	ADJ
ejpam-4353	197	11	soft	soft	ADJ
ejpam-4353	197	12	finer	fine	ADJ
ejpam-4353	197	13	than	than	ADP
ejpam-4353	197	14	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	197	15	i∈i	i∈i	ADJ
ejpam-4353	197	16	˜̃gi	˜̃gi	PROPN
ejpam-4353	197	17	.	.	PUNCT
ejpam-4353	198	1	remark	remark	PROPN
ejpam-4353	198	2	1	1	NUM
ejpam-4353	198	3	.	.	PUNCT
ejpam-4353	199	1	let	let	VERB
ejpam-4353	199	2	(	(	PUNCT
ejpam-4353	199	3	ω	ω	NOUN
ejpam-4353	199	4	,	,	PUNCT
ejpam-4353	199	5	˜̃g1	˜̃g1	PROPN
ejpam-4353	199	6	,	,	PUNCT
ejpam-4353	199	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	199	8	)	)	PUNCT
ejpam-4353	199	9	and	and	CCONJ
ejpam-4353	199	10	(	(	PUNCT
ejpam-4353	199	11	ω	ω	NOUN
ejpam-4353	199	12	,	,	PUNCT
ejpam-4353	199	13	˜̃g2	˜̃g2	PROPN
ejpam-4353	199	14	,	,	PUNCT
ejpam-4353	199	15	ς,¬ς	ς,¬ς	NUM
ejpam-4353	199	16	)	)	PUNCT
ejpam-4353	199	17	be	be	VERB
ejpam-4353	199	18	bsgt	bsgt	NOUN
ejpam-4353	199	19	ss	ss	INTJ
ejpam-4353	199	20	.	.	PUNCT
ejpam-4353	200	1	then	then	ADV
ejpam-4353	200	2	(	(	PUNCT
ejpam-4353	200	3	ω	ω	PROPN
ejpam-4353	200	4	,	,	PUNCT
ejpam-4353	200	5	˜̃g1	˜̃g1	PROPN
ejpam-4353	200	6	˜̃∩	˜̃∩	ADP
ejpam-4353	200	7	˜̃g2	˜̃g2	PROPN
ejpam-4353	200	8	,	,	PUNCT
ejpam-4353	200	9	ς,¬ς	ς,¬ς	NUM
ejpam-4353	200	10	)	)	PUNCT
ejpam-4353	200	11	may	may	AUX
ejpam-4353	200	12	not	not	PART
ejpam-4353	200	13	be	be	AUX
ejpam-4353	200	14	a	a	DET
ejpam-4353	200	15	bsgt	bsgt	NOUN
ejpam-4353	200	16	s	s	PRON
ejpam-4353	200	17	as	as	SCONJ
ejpam-4353	200	18	shown	show	VERB
ejpam-4353	200	19	by	by	ADP
ejpam-4353	200	20	the	the	DET
ejpam-4353	200	21	following	follow	VERB
ejpam-4353	200	22	example	example	NOUN
ejpam-4353	200	23	.	.	PUNCT
ejpam-4353	201	1	example	example	NOUN
ejpam-4353	202	1	3	3	X
ejpam-4353	202	2	.	.	PUNCT
ejpam-4353	202	3	let	let	VERB
ejpam-4353	202	4	ω	ω	PROPN
ejpam-4353	202	5	=	=	SYM
ejpam-4353	202	6	{	{	PUNCT
ejpam-4353	202	7	ω1	ω1	PROPN
ejpam-4353	202	8	,	,	PUNCT
ejpam-4353	202	9	ω2	ω2	ADJ
ejpam-4353	202	10	,	,	PUNCT
ejpam-4353	202	11	ω3	ω3	NOUN
ejpam-4353	202	12	,	,	PUNCT
ejpam-4353	202	13	ω4	ω4	NUM
ejpam-4353	202	14	,	,	PUNCT
ejpam-4353	202	15	ω5	ω5	PROPN
ejpam-4353	202	16	}	}	PUNCT
ejpam-4353	202	17	and	and	CCONJ
ejpam-4353	202	18	ς	ς	PROPN
ejpam-4353	202	19	=	=	PUNCT
ejpam-4353	202	20	{	{	PUNCT
ejpam-4353	202	21	ϱ1	ϱ1	PROPN
ejpam-4353	202	22	,	,	PUNCT
ejpam-4353	202	23	ϱ2	ϱ2	NOUN
ejpam-4353	202	24	}	}	PUNCT
ejpam-4353	202	25	.	.	PUNCT
ejpam-4353	203	1	let	let	VERB
ejpam-4353	203	2	(	(	PUNCT
ejpam-4353	203	3	ω	ω	NOUN
ejpam-4353	203	4	,	,	PUNCT
ejpam-4353	203	5	˜̃g1	˜̃g1	PROPN
ejpam-4353	203	6	,	,	PUNCT
ejpam-4353	203	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	203	8	)	)	PUNCT
ejpam-4353	203	9	,	,	PUNCT
ejpam-4353	203	10	(	(	PUNCT
ejpam-4353	203	11	ω	ω	NOUN
ejpam-4353	203	12	,	,	PUNCT
ejpam-4353	203	13	˜̃g2	˜̃g2	PROPN
ejpam-4353	203	14	,	,	PUNCT
ejpam-4353	203	15	ς,¬ς)˜̃∈	ς,¬ς)˜̃∈	NUM
ejpam-4353	203	16	bsgt	bsgt	VERB
ejpam-4353	203	17	ss	ss	ADP
ejpam-4353	203	18	where	where	SCONJ
ejpam-4353	203	19	˜̃g1={(φ	˜̃g1={(φ	NOUN
ejpam-4353	203	20	,	,	PUNCT
ejpam-4353	203	21	˜̃ω	˜̃ω	PROPN
ejpam-4353	203	22	,	,	PUNCT
ejpam-4353	203	23	ς	ς	PROPN
ejpam-4353	203	24	)	)	PUNCT
ejpam-4353	203	25	,	,	PUNCT
ejpam-4353	203	26	(	(	PUNCT
ejpam-4353	203	27	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	203	28	,	,	PUNCT
ejpam-4353	203	29	ς	ς	PROPN
ejpam-4353	203	30	)	)	PUNCT
ejpam-4353	203	31	,	,	PUNCT
ejpam-4353	203	32	(	(	PUNCT
ejpam-4353	203	33	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	203	34	,	,	PUNCT
ejpam-4353	203	35	ς	ς	NOUN
ejpam-4353	203	36	)	)	PUNCT
ejpam-4353	203	37	}	}	PUNCT
ejpam-4353	203	38	,	,	PUNCT
ejpam-4353	203	39	and	and	CCONJ
ejpam-4353	203	40	˜̃g2	˜̃g2	NOUN
ejpam-4353	203	41	=	=	SYM
ejpam-4353	203	42	{	{	PUNCT
ejpam-4353	203	43	(	(	PUNCT
ejpam-4353	203	44	φ	φ	PROPN
ejpam-4353	203	45	,	,	PUNCT
ejpam-4353	203	46	˜̃ω	˜̃ω	PROPN
ejpam-4353	203	47	,	,	PUNCT
ejpam-4353	203	48	ς	ς	PROPN
ejpam-4353	203	49	)	)	PUNCT
ejpam-4353	203	50	,	,	PUNCT
ejpam-4353	203	51	(	(	PUNCT
ejpam-4353	203	52	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	203	53	,	,	PUNCT
ejpam-4353	203	54	ς	ς	PROPN
ejpam-4353	203	55	)	)	PUNCT
ejpam-4353	203	56	,	,	PUNCT
ejpam-4353	203	57	(	(	PUNCT
ejpam-4353	203	58	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	203	59	,	,	PUNCT
ejpam-4353	203	60	ς	ς	NOUN
ejpam-4353	203	61	)	)	PUNCT
ejpam-4353	203	62	}	}	PUNCT
ejpam-4353	203	63	,	,	PUNCT
ejpam-4353	203	64	where	where	SCONJ
ejpam-4353	203	65	(	(	PUNCT
ejpam-4353	203	66	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	203	67	,	,	PUNCT
ejpam-4353	203	68	ς	ς	NOUN
ejpam-4353	203	69	)	)	PUNCT
ejpam-4353	203	70	=	=	SYM
ejpam-4353	203	71	{	{	PUNCT
ejpam-4353	203	72	(	(	PUNCT
ejpam-4353	203	73	ϱ1	ϱ1	NOUN
ejpam-4353	203	74	,	,	PUNCT
ejpam-4353	203	75	{	{	PUNCT
ejpam-4353	203	76	ω1	ω1	PROPN
ejpam-4353	203	77	,	,	PUNCT
ejpam-4353	203	78	ω2	ω2	ADJ
ejpam-4353	203	79	}	}	PUNCT
ejpam-4353	203	80	,	,	PUNCT
ejpam-4353	203	81	{	{	PUNCT
ejpam-4353	203	82	ω5	ω5	NOUN
ejpam-4353	203	83	}	}	PUNCT
ejpam-4353	203	84	)	)	PUNCT
ejpam-4353	203	85	,	,	PUNCT
ejpam-4353	203	86	(	(	PUNCT
ejpam-4353	203	87	ϱ2	ϱ2	NOUN
ejpam-4353	203	88	,	,	PUNCT
ejpam-4353	203	89	{	{	PUNCT
ejpam-4353	203	90	ω2	ω2	ADJ
ejpam-4353	203	91	}	}	PUNCT
ejpam-4353	203	92	,	,	PUNCT
ejpam-4353	203	93	{	{	PUNCT
ejpam-4353	203	94	ω1	ω1	PROPN
ejpam-4353	203	95	,	,	PUNCT
ejpam-4353	203	96	ω4	ω4	NUM
ejpam-4353	203	97	,	,	PUNCT
ejpam-4353	203	98	ω5	ω5	NOUN
ejpam-4353	203	99	}	}	PUNCT
ejpam-4353	203	100	)	)	PUNCT
ejpam-4353	203	101	}	}	PUNCT
ejpam-4353	203	102	,	,	PUNCT
ejpam-4353	203	103	(	(	PUNCT
ejpam-4353	203	104	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	203	105	,	,	PUNCT
ejpam-4353	203	106	ς	ς	NOUN
ejpam-4353	203	107	)	)	PUNCT
ejpam-4353	203	108	=	=	SYM
ejpam-4353	203	109	{	{	PUNCT
ejpam-4353	203	110	(	(	PUNCT
ejpam-4353	203	111	ϱ1	ϱ1	NOUN
ejpam-4353	203	112	,	,	PUNCT
ejpam-4353	203	113	{	{	PUNCT
ejpam-4353	203	114	ω1	ω1	PROPN
ejpam-4353	203	115	,	,	PUNCT
ejpam-4353	203	116	ω2	ω2	ADJ
ejpam-4353	203	117	}	}	PUNCT
ejpam-4353	203	118	,	,	PUNCT
ejpam-4353	203	119	{	{	PUNCT
ejpam-4353	203	120	ω5	ω5	NOUN
ejpam-4353	203	121	}	}	PUNCT
ejpam-4353	203	122	)	)	PUNCT
ejpam-4353	203	123	,	,	PUNCT
ejpam-4353	203	124	(	(	PUNCT
ejpam-4353	203	125	ϱ2	ϱ2	NOUN
ejpam-4353	203	126	,	,	PUNCT
ejpam-4353	203	127	{	{	PUNCT
ejpam-4353	203	128	ω2	ω2	ADJ
ejpam-4353	203	129	}	}	PUNCT
ejpam-4353	203	130	,	,	PUNCT
ejpam-4353	203	131	{	{	PUNCT
ejpam-4353	203	132	ω1	ω1	PROPN
ejpam-4353	203	133	,	,	PUNCT
ejpam-4353	203	134	ω4	ω4	NUM
ejpam-4353	203	135	}	}	PUNCT
ejpam-4353	203	136	)	)	PUNCT
ejpam-4353	203	137	}	}	PUNCT
ejpam-4353	203	138	,	,	PUNCT
ejpam-4353	203	139	(	(	PUNCT
ejpam-4353	203	140	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	203	141	,	,	PUNCT
ejpam-4353	203	142	ς	ς	NOUN
ejpam-4353	203	143	)	)	PUNCT
ejpam-4353	203	144	=	=	SYM
ejpam-4353	203	145	{	{	PUNCT
ejpam-4353	203	146	(	(	PUNCT
ejpam-4353	203	147	ϱ1	ϱ1	NOUN
ejpam-4353	203	148	,	,	PUNCT
ejpam-4353	203	149	{	{	PUNCT
ejpam-4353	203	150	ω3	ω3	NOUN
ejpam-4353	203	151	,	,	PUNCT
ejpam-4353	203	152	ω4	ω4	NUM
ejpam-4353	203	153	}	}	PUNCT
ejpam-4353	203	154	,	,	PUNCT
ejpam-4353	203	155	{	{	PUNCT
ejpam-4353	203	156	ω5	ω5	NOUN
ejpam-4353	203	157	}	}	PUNCT
ejpam-4353	203	158	)	)	PUNCT
ejpam-4353	203	159	,	,	PUNCT
ejpam-4353	203	160	(	(	PUNCT
ejpam-4353	203	161	ϱ2	ϱ2	NOUN
ejpam-4353	203	162	,	,	PUNCT
ejpam-4353	203	163	{	{	PUNCT
ejpam-4353	203	164	ω3	ω3	NOUN
ejpam-4353	203	165	}	}	PUNCT
ejpam-4353	203	166	,	,	PUNCT
ejpam-4353	203	167	{	{	PUNCT
ejpam-4353	203	168	ω4})}and	ω4})}and	X
ejpam-4353	203	169	(	(	PUNCT
ejpam-4353	203	170	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	203	171	,	,	PUNCT
ejpam-4353	203	172	ς	ς	NOUN
ejpam-4353	203	173	)	)	PUNCT
ejpam-4353	203	174	=	=	SYM
ejpam-4353	203	175	{	{	PUNCT
ejpam-4353	203	176	(	(	PUNCT
ejpam-4353	203	177	ϱ1	ϱ1	NOUN
ejpam-4353	203	178	,	,	PUNCT
ejpam-4353	203	179	{	{	PUNCT
ejpam-4353	203	180	ω3	ω3	NOUN
ejpam-4353	203	181	,	,	PUNCT
ejpam-4353	203	182	ω4	ω4	NUM
ejpam-4353	203	183	}	}	PUNCT
ejpam-4353	203	184	,	,	PUNCT
ejpam-4353	203	185	{	{	PUNCT
ejpam-4353	203	186	ω5	ω5	NOUN
ejpam-4353	203	187	}	}	PUNCT
ejpam-4353	203	188	)	)	PUNCT
ejpam-4353	203	189	,	,	PUNCT
ejpam-4353	203	190	(	(	PUNCT
ejpam-4353	203	191	ϱ2	ϱ2	NOUN
ejpam-4353	203	192	,	,	PUNCT
ejpam-4353	203	193	{	{	PUNCT
ejpam-4353	203	194	ω3	ω3	NOUN
ejpam-4353	203	195	}	}	PUNCT
ejpam-4353	203	196	,	,	PUNCT
ejpam-4353	203	197	{	{	PUNCT
ejpam-4353	203	198	ω4	ω4	NUM
ejpam-4353	203	199	,	,	PUNCT
ejpam-4353	203	200	ω5	ω5	NOUN
ejpam-4353	203	201	}	}	PUNCT
ejpam-4353	203	202	)	)	PUNCT
ejpam-4353	203	203	}	}	PUNCT
ejpam-4353	203	204	.	.	PUNCT
ejpam-4353	204	1	now	now	ADV
ejpam-4353	204	2	,	,	PUNCT
ejpam-4353	204	3	˜̃g1	˜̃g1	PROPN
ejpam-4353	204	4	˜̃∪	˜̃∪	PROPN
ejpam-4353	204	5	˜̃g2	˜̃g2	PROPN
ejpam-4353	204	6	=	=	SYM
ejpam-4353	204	7	{	{	PUNCT
ejpam-4353	204	8	(	(	PUNCT
ejpam-4353	204	9	φ	φ	PROPN
ejpam-4353	204	10	,	,	PUNCT
ejpam-4353	204	11	˜̃ω	˜̃ω	PROPN
ejpam-4353	204	12	,	,	PUNCT
ejpam-4353	204	13	ς	ς	PROPN
ejpam-4353	204	14	)	)	PUNCT
ejpam-4353	204	15	,	,	PUNCT
ejpam-4353	204	16	(	(	PUNCT
ejpam-4353	204	17	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	204	18	,	,	PUNCT
ejpam-4353	204	19	ς	ς	PROPN
ejpam-4353	204	20	)	)	PUNCT
ejpam-4353	204	21	,	,	PUNCT
ejpam-4353	204	22	(	(	PUNCT
ejpam-4353	204	23	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	204	24	,	,	PUNCT
ejpam-4353	204	25	ς	ς	NOUN
ejpam-4353	204	26	)	)	PUNCT
ejpam-4353	204	27	,	,	PUNCT
ejpam-4353	204	28	(	(	PUNCT
ejpam-4353	204	29	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	204	30	,	,	PUNCT
ejpam-4353	204	31	ς	ς	PROPN
ejpam-4353	204	32	)	)	PUNCT
ejpam-4353	204	33	,	,	PUNCT
ejpam-4353	204	34	(	(	PUNCT
ejpam-4353	204	35	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	204	36	,	,	PUNCT
ejpam-4353	204	37	ς	ς	NOUN
ejpam-4353	204	38	)	)	PUNCT
ejpam-4353	204	39	}	}	PUNCT
ejpam-4353	204	40	,	,	PUNCT
ejpam-4353	204	41	then	then	ADV
ejpam-4353	204	42	˜̃g1	˜̃g1	PROPN
ejpam-4353	204	43	˜̃∪	˜̃∪	PROPN
ejpam-4353	204	44	˜̃g2	˜̃g2	PROPN
ejpam-4353	204	45	is	be	AUX
ejpam-4353	204	46	not	not	PART
ejpam-4353	204	47	bsgt	bsgt	NOUN
ejpam-4353	204	48	s	s	PRON
ejpam-4353	204	49	since	since	SCONJ
ejpam-4353	204	50	(	(	PUNCT
ejpam-4353	204	51	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	204	52	,	,	PUNCT
ejpam-4353	204	53	ς	ς	NOUN
ejpam-4353	204	54	)	)	PUNCT
ejpam-4353	204	55	˜̃∈	˜̃∈	PROPN
ejpam-4353	204	56	˜̃g1	˜̃g1	VERB
ejpam-4353	204	57	˜̃∪	˜̃∪	PROPN
ejpam-4353	204	58	˜̃g2	˜̃g2	PROPN
ejpam-4353	204	59	and	and	CCONJ
ejpam-4353	204	60	(	(	PUNCT
ejpam-4353	204	61	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	204	62	,	,	PUNCT
ejpam-4353	204	63	ς	ς	PROPN
ejpam-4353	204	64	)	)	PUNCT
ejpam-4353	204	65	˜̃∈	˜̃∈	PROPN
ejpam-4353	205	1	˜̃g1	˜̃g1	VERB
ejpam-4353	205	2	˜̃∪	˜̃∪	PROPN
ejpam-4353	205	3	˜̃g2	˜̃g2	PROPN
ejpam-4353	205	4	,	,	PUNCT
ejpam-4353	205	5	but	but	CCONJ
ejpam-4353	205	6	(	(	PUNCT
ejpam-4353	205	7	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	205	8	,	,	PUNCT
ejpam-4353	205	9	ς	ς	PROPN
ejpam-4353	205	10	)	)	PUNCT
ejpam-4353	205	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	205	12	(	(	PUNCT
ejpam-4353	205	13	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	205	14	,	,	PUNCT
ejpam-4353	205	15	ς	ς	NOUN
ejpam-4353	205	16	)	)	PUNCT
ejpam-4353	205	17	=	=	SYM
ejpam-4353	205	18	{	{	PUNCT
ejpam-4353	205	19	(	(	PUNCT
ejpam-4353	205	20	ϱ1	ϱ1	NOUN
ejpam-4353	205	21	,	,	PUNCT
ejpam-4353	205	22	{	{	PUNCT
ejpam-4353	205	23	ω1	ω1	PROPN
ejpam-4353	205	24	,	,	PUNCT
ejpam-4353	205	25	ω2	ω2	ADJ
ejpam-4353	205	26	,	,	PUNCT
ejpam-4353	205	27	ω3	ω3	NOUN
ejpam-4353	205	28	,	,	PUNCT
ejpam-4353	205	29	ω4	ω4	NUM
ejpam-4353	205	30	}	}	PUNCT
ejpam-4353	205	31	,	,	PUNCT
ejpam-4353	205	32	{	{	PUNCT
ejpam-4353	205	33	ω5	ω5	NOUN
ejpam-4353	205	34	}	}	PUNCT
ejpam-4353	205	35	)	)	PUNCT
ejpam-4353	205	36	,	,	PUNCT
ejpam-4353	205	37	(	(	PUNCT
ejpam-4353	205	38	ϱ2	ϱ2	NOUN
ejpam-4353	205	39	,	,	PUNCT
ejpam-4353	205	40	{	{	PUNCT
ejpam-4353	205	41	ω2	ω2	ADJ
ejpam-4353	205	42	,	,	PUNCT
ejpam-4353	205	43	ω3	ω3	PROPN
ejpam-4353	205	44	}	}	PUNCT
ejpam-4353	205	45	,	,	PUNCT
ejpam-4353	205	46	{	{	PUNCT
ejpam-4353	205	47	ω4	ω4	NUM
ejpam-4353	205	48	}	}	PUNCT
ejpam-4353	205	49	)	)	PUNCT
ejpam-4353	205	50	}	}	PUNCT
ejpam-4353	205	51	˜̃	˜̃	NOUN
ejpam-4353	205	52	/∈	/∈	PUNCT
ejpam-4353	206	1	˜̃g1	˜̃g1	PROPN
ejpam-4353	206	2	˜̃∪	˜̃∪	PROPN
ejpam-4353	206	3	˜̃g2	˜̃g2	PROPN
ejpam-4353	206	4	.	.	PUNCT
ejpam-4353	207	1	theorem	theorem	NOUN
ejpam-4353	207	2	4	4	NUM
ejpam-4353	207	3	.	.	PUNCT
ejpam-4353	208	1	let	let	VERB
ejpam-4353	208	2	˜̃	˜̃	NOUN
ejpam-4353	208	3	ζ	ζ	NOUN
ejpam-4353	208	4	be	be	AUX
ejpam-4353	208	5	a	a	DET
ejpam-4353	208	6	family	family	NOUN
ejpam-4353	208	7	of	of	ADP
ejpam-4353	208	8	bipolar	bipolar	ADJ
ejpam-4353	208	9	soft	soft	ADJ
ejpam-4353	208	10	sets	set	NOUN
ejpam-4353	208	11	defined	define	VERB
ejpam-4353	208	12	on	on	ADP
ejpam-4353	208	13	a	a	DET
ejpam-4353	208	14	universal	universal	ADJ
ejpam-4353	208	15	set	set	NOUN
ejpam-4353	208	16	ω	ω	PROPN
ejpam-4353	208	17	,	,	PUNCT
ejpam-4353	208	18	then	then	ADV
ejpam-4353	208	19	there	there	PRON
ejpam-4353	208	20	exists	exist	VERB
ejpam-4353	208	21	a	a	DET
ejpam-4353	208	22	unique	unique	ADJ
ejpam-4353	208	23	bsgt	bsgt	NOUN
ejpam-4353	208	24	˜̃g	˜̃g	ADP
ejpam-4353	208	25	such	such	ADJ
ejpam-4353	208	26	that	that	SCONJ
ejpam-4353	208	27	it	it	PRON
ejpam-4353	208	28	is	be	AUX
ejpam-4353	208	29	the	the	DET
ejpam-4353	208	30	smallest	small	ADJ
ejpam-4353	208	31	bsgt	bsgt	NOUN
ejpam-4353	208	32	containing	contain	VERB
ejpam-4353	208	33	˜̃	˜̃	NOUN
ejpam-4353	208	34	ζ	ζ	NOUN
ejpam-4353	208	35	.	.	PUNCT
ejpam-4353	209	1	proof	proof	NOUN
ejpam-4353	209	2	.	.	PUNCT
ejpam-4353	210	1	consider	consider	VERB
ejpam-4353	210	2	the	the	DET
ejpam-4353	210	3	collection	collection	NOUN
ejpam-4353	210	4	of	of	ADP
ejpam-4353	210	5	all	all	DET
ejpam-4353	210	6	bsgt	bsgt	NOUN
ejpam-4353	210	7	s	s	PRON
ejpam-4353	210	8	on	on	ADP
ejpam-4353	210	9	ω	ω	NUM
ejpam-4353	210	10	which	which	PRON
ejpam-4353	210	11	contains	contain	VERB
ejpam-4353	210	12	˜̃	˜̃	NOUN
ejpam-4353	210	13	ζ	ζ	NOUN
ejpam-4353	210	14	(	(	PUNCT
ejpam-4353	210	15	as	as	ADP
ejpam-4353	210	16	subset	subset	NOUN
ejpam-4353	210	17	of	of	ADP
ejpam-4353	210	18	υ(ω	υ(ω	NOUN
ejpam-4353	210	19	)	)	PUNCT
ejpam-4353	210	20	)	)	PUNCT
ejpam-4353	210	21	surely	surely	ADV
ejpam-4353	210	22	contains	contain	VERB
ejpam-4353	210	23	˜̃	˜̃	NOUN
ejpam-4353	210	24	ζ	ζ	NOUN
ejpam-4353	210	25	.	.	PUNCT
ejpam-4353	211	1	now	now	ADV
ejpam-4353	211	2	,	,	PUNCT
ejpam-4353	211	3	let	let	VERB
ejpam-4353	211	4	˜̃g	˜̃g	PROPN
ejpam-4353	211	5	be	be	AUX
ejpam-4353	211	6	the	the	DET
ejpam-4353	211	7	intersection	intersection	NOUN
ejpam-4353	211	8	of	of	ADP
ejpam-4353	211	9	the	the	DET
ejpam-4353	211	10	members	member	NOUN
ejpam-4353	211	11	of	of	ADP
ejpam-4353	211	12	this	this	DET
ejpam-4353	211	13	collection	collection	NOUN
ejpam-4353	211	14	.	.	PUNCT
ejpam-4353	212	1	by	by	ADP
ejpam-4353	212	2	theorem	theorem	NOUN
ejpam-4353	212	3	3	3	NUM
ejpam-4353	212	4	,	,	PUNCT
ejpam-4353	212	5	˜̃g	˜̃g	PROPN
ejpam-4353	212	6	is	be	AUX
ejpam-4353	212	7	a	a	DET
ejpam-4353	212	8	bsgt	bsgt	NOUN
ejpam-4353	212	9	,	,	PUNCT
ejpam-4353	212	10	it	it	PRON
ejpam-4353	212	11	contains	contain	VERB
ejpam-4353	212	12	˜̃	˜̃	NOUN
ejpam-4353	212	13	ζ	ζ	NOUN
ejpam-4353	212	14	and	and	CCONJ
ejpam-4353	212	15	clearly	clearly	ADV
ejpam-4353	212	16	it	it	PRON
ejpam-4353	212	17	is	be	AUX
ejpam-4353	212	18	the	the	DET
ejpam-4353	212	19	smallest	small	ADJ
ejpam-4353	212	20	bsgt	bsgt	NOUN
ejpam-4353	212	21	containing	contain	VERB
ejpam-4353	212	22	˜̃	˜̃	NOUN
ejpam-4353	212	23	ζ	ζ	NOUN
ejpam-4353	212	24	,	,	PUNCT
ejpam-4353	212	25	for	for	ADP
ejpam-4353	212	26	any	any	DET
ejpam-4353	212	27	such	such	ADJ
ejpam-4353	212	28	bsgt	bsgt	NOUN
ejpam-4353	212	29	will	will	AUX
ejpam-4353	212	30	be	be	AUX
ejpam-4353	212	31	member	member	NOUN
ejpam-4353	212	32	of	of	ADP
ejpam-4353	212	33	the	the	DET
ejpam-4353	212	34	collection	collection	NOUN
ejpam-4353	212	35	of	of	ADP
ejpam-4353	212	36	bsgt	bsgt	NOUN
ejpam-4353	212	37	s	s	AUX
ejpam-4353	212	38	just	just	ADV
ejpam-4353	212	39	considered	consider	VERB
ejpam-4353	212	40	,	,	PUNCT
ejpam-4353	212	41	and	and	CCONJ
ejpam-4353	212	42	hence	hence	ADV
ejpam-4353	212	43	bipolar	bipolar	ADJ
ejpam-4353	212	44	soft	soft	ADJ
ejpam-4353	212	45	finer	fine	ADJ
ejpam-4353	212	46	than	than	ADP
ejpam-4353	212	47	its	its	PRON
ejpam-4353	212	48	intersections	intersection	NOUN
ejpam-4353	212	49	˜̃g	˜̃g	PROPN
ejpam-4353	212	50	.	.	PUNCT
ejpam-4353	213	1	uniqueness	uniqueness	NOUN
ejpam-4353	213	2	of	of	ADP
ejpam-4353	213	3	˜̃g	˜̃g	PROPN
ejpam-4353	213	4	is	be	AUX
ejpam-4353	213	5	trivial	trivial	ADJ
ejpam-4353	213	6	.	.	PUNCT
ejpam-4353	214	1	definition	definition	NOUN
ejpam-4353	214	2	19	19	NUM
ejpam-4353	214	3	.	.	PUNCT
ejpam-4353	215	1	let	let	VERB
ejpam-4353	215	2	(	(	PUNCT
ejpam-4353	215	3	ω	ω	NOUN
ejpam-4353	215	4	,	,	PUNCT
ejpam-4353	215	5	˜̃g	˜̃g	PROPN
ejpam-4353	215	6	,	,	PUNCT
ejpam-4353	215	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	215	8	)	)	PUNCT
ejpam-4353	215	9	be	be	VERB
ejpam-4353	215	10	a	a	DET
ejpam-4353	215	11	bsgt	bsgt	NOUN
ejpam-4353	215	12	s	s	PRON
ejpam-4353	215	13	and	and	CCONJ
ejpam-4353	215	14	(	(	PUNCT
ejpam-4353	215	15	θ	θ	PROPN
ejpam-4353	215	16	,	,	PUNCT
ejpam-4353	215	17	λ	λ	PROPN
ejpam-4353	215	18	,	,	PUNCT
ejpam-4353	215	19	ς	ς	PROPN
ejpam-4353	215	20	)	)	PUNCT
ejpam-4353	215	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	215	22	bss(ω	bss(ω	PROPN
ejpam-4353	215	23	)	)	PUNCT
ejpam-4353	215	24	.	.	PUNCT
ejpam-4353	216	1	then	then	ADV
ejpam-4353	216	2	the	the	DET
ejpam-4353	216	3	bipolar	bipolar	ADJ
ejpam-4353	216	4	soft	soft	ADJ
ejpam-4353	216	5	˜̃g	˜̃g	NOUN
ejpam-4353	216	6	-	-	PUNCT
ejpam-4353	216	7	interior	interior	NOUN
ejpam-4353	216	8	of	of	ADP
ejpam-4353	216	9	(	(	PUNCT
ejpam-4353	216	10	θ	θ	PROPN
ejpam-4353	216	11	,	,	PUNCT
ejpam-4353	216	12	λ	λ	PROPN
ejpam-4353	216	13	,	,	PUNCT
ejpam-4353	216	14	ς	ς	PROPN
ejpam-4353	216	15	)	)	PUNCT
ejpam-4353	216	16	,	,	PUNCT
ejpam-4353	216	17	denoted	denote	VERB
ejpam-4353	216	18	by	by	ADP
ejpam-4353	216	19	i˜̃g(θ	i˜̃g(θ	PROPN
ejpam-4353	216	20	,	,	PUNCT
ejpam-4353	216	21	λ	λ	PROPN
ejpam-4353	216	22	,	,	PUNCT
ejpam-4353	216	23	ς	ς	PROPN
ejpam-4353	216	24	)	)	PUNCT
ejpam-4353	216	25	,	,	PUNCT
ejpam-4353	216	26	is	be	AUX
ejpam-4353	216	27	the	the	DET
ejpam-4353	216	28	bipolar	bipolar	ADJ
ejpam-4353	216	29	soft	soft	ADJ
ejpam-4353	216	30	union	union	NOUN
ejpam-4353	216	31	of	of	ADP
ejpam-4353	216	32	all	all	DET
ejpam-4353	216	33	bipolar	bipolar	ADJ
ejpam-4353	216	34	soft	soft	ADJ
ejpam-4353	216	35	˜̃g	˜̃g	NOUN
ejpam-4353	216	36	-	-	PUNCT
ejpam-4353	216	37	open	open	ADJ
ejpam-4353	216	38	subsets	subset	NOUN
ejpam-4353	216	39	of	of	ADP
ejpam-4353	216	40	(	(	PUNCT
ejpam-4353	216	41	θ	θ	PROPN
ejpam-4353	216	42	,	,	PUNCT
ejpam-4353	216	43	λ	λ	PROPN
ejpam-4353	216	44	,	,	PUNCT
ejpam-4353	216	45	ς	ς	PROPN
ejpam-4353	216	46	)	)	PUNCT
ejpam-4353	216	47	.	.	PUNCT
ejpam-4353	217	1	in	in	ADP
ejpam-4353	217	2	other	other	ADJ
ejpam-4353	217	3	words	word	NOUN
ejpam-4353	217	4	,	,	PUNCT
ejpam-4353	217	5	i˜̃g(θ	i˜̃g(θ	NOUN
ejpam-4353	217	6	,	,	PUNCT
ejpam-4353	217	7	λ	λ	PROPN
ejpam-4353	217	8	,	,	PUNCT
ejpam-4353	217	9	ς	ς	NOUN
ejpam-4353	217	10	)	)	PUNCT
ejpam-4353	217	11	is	be	AUX
ejpam-4353	217	12	a	a	DET
ejpam-4353	217	13	largest	large	ADJ
ejpam-4353	217	14	bipolar	bipolar	ADJ
ejpam-4353	217	15	soft	soft	ADJ
ejpam-4353	217	16	˜̃g	˜̃g	NOUN
ejpam-4353	217	17	-	-	PUNCT
ejpam-4353	217	18	open	open	ADJ
ejpam-4353	217	19	set	set	NOUN
ejpam-4353	217	20	contained	contain	VERB
ejpam-4353	217	21	in	in	ADP
ejpam-4353	217	22	(	(	PUNCT
ejpam-4353	217	23	θ	θ	PROPN
ejpam-4353	217	24	,	,	PUNCT
ejpam-4353	217	25	λ	λ	PROPN
ejpam-4353	217	26	,	,	PUNCT
ejpam-4353	217	27	ς	ς	NOUN
ejpam-4353	217	28	)	)	PUNCT
ejpam-4353	217	29	,	,	PUNCT
ejpam-4353	217	30	so	so	ADV
ejpam-4353	217	31	,	,	PUNCT
ejpam-4353	217	32	we	we	PRON
ejpam-4353	217	33	can	can	AUX
ejpam-4353	217	34	write	write	VERB
ejpam-4353	217	35	as	as	ADP
ejpam-4353	217	36	h.	h.	PROPN
ejpam-4353	217	37	y.	y.	PROPN
ejpam-4353	217	38	saleh	saleh	PROPN
ejpam-4353	217	39	,	,	PUNCT
ejpam-4353	217	40	b.	b.	PROPN
ejpam-4353	217	41	a.	a.	PROPN
ejpam-4353	217	42	asaad	asaad	PROPN
ejpam-4353	217	43	,	,	PUNCT
ejpam-4353	217	44	r.	r.	PROPN
ejpam-4353	217	45	a.	a.	PROPN
ejpam-4353	217	46	mohammed	mohammed	PROPN
ejpam-4353	217	47	/	/	SYM
ejpam-4353	217	48	eur	eur	PROPN
ejpam-4353	217	49	.	.	PUNCT
ejpam-4353	218	1	j.	j.	PROPN
ejpam-4353	218	2	pure	pure	PROPN
ejpam-4353	218	3	appl	appl	PROPN
ejpam-4353	218	4	.	.	PROPN
ejpam-4353	218	5	math	math	PROPN
ejpam-4353	218	6	,	,	PUNCT
ejpam-4353	218	7	15	15	NUM
ejpam-4353	218	8	(	(	PUNCT
ejpam-4353	218	9	2	2	NUM
ejpam-4353	218	10	)	)	PUNCT
ejpam-4353	218	11	(	(	PUNCT
ejpam-4353	218	12	2022	2022	NUM
ejpam-4353	218	13	)	)	PUNCT
ejpam-4353	218	14	,	,	PUNCT
ejpam-4353	218	15	646	646	NUM
ejpam-4353	218	16	-	-	SYM
ejpam-4353	218	17	671	671	NUM
ejpam-4353	218	18	655	655	NUM
ejpam-4353	218	19	i˜̃g(θ	i˜̃g(θ	NOUN
ejpam-4353	218	20	,	,	PUNCT
ejpam-4353	218	21	λ	λ	PROPN
ejpam-4353	218	22	,	,	PUNCT
ejpam-4353	218	23	ς	ς	NOUN
ejpam-4353	218	24	)	)	PUNCT
ejpam-4353	218	25	=	=	NOUN
ejpam-4353	218	26	˜̃⋃{(χ	˜̃⋃{(χ	NOUN
ejpam-4353	218	27	,	,	PUNCT
ejpam-4353	218	28	ψ	ψ	X
ejpam-4353	218	29	,	,	PUNCT
ejpam-4353	218	30	ς	ς	PROPN
ejpam-4353	218	31	):	):	PUNCT
ejpam-4353	218	32	(	(	PUNCT
ejpam-4353	218	33	χ	χ	X
ejpam-4353	218	34	,	,	PUNCT
ejpam-4353	218	35	ψ	ψ	X
ejpam-4353	218	36	,	,	PUNCT
ejpam-4353	218	37	ς	ς	NOUN
ejpam-4353	218	38	)	)	PUNCT
ejpam-4353	218	39	˜̃∈	˜̃∈	PROPN
ejpam-4353	218	40	˜̃g	˜̃g	PROPN
ejpam-4353	218	41	,	,	PUNCT
ejpam-4353	218	42	(	(	PUNCT
ejpam-4353	218	43	χ	χ	X
ejpam-4353	218	44	,	,	PUNCT
ejpam-4353	218	45	ψ	ψ	X
ejpam-4353	218	46	,	,	PUNCT
ejpam-4353	218	47	ς	ς	PROPN
ejpam-4353	218	48	)	)	PUNCT
ejpam-4353	218	49	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	218	50	(	(	PUNCT
ejpam-4353	218	51	θ	θ	PROPN
ejpam-4353	218	52	,	,	PUNCT
ejpam-4353	218	53	λ	λ	PROPN
ejpam-4353	218	54	,	,	PUNCT
ejpam-4353	218	55	ς	ς	NOUN
ejpam-4353	218	56	)	)	PUNCT
ejpam-4353	218	57	}	}	PUNCT
ejpam-4353	218	58	.	.	PUNCT
ejpam-4353	219	1	here	here	ADV
ejpam-4353	219	2	,	,	PUNCT
ejpam-4353	219	3	are	be	AUX
ejpam-4353	219	4	some	some	DET
ejpam-4353	219	5	properties	property	NOUN
ejpam-4353	219	6	of	of	ADP
ejpam-4353	219	7	i˜̃g(θ	i˜̃g(θ	PROPN
ejpam-4353	219	8	,	,	PUNCT
ejpam-4353	219	9	λ	λ	PROPN
ejpam-4353	219	10	,	,	PUNCT
ejpam-4353	219	11	ς	ς	NOUN
ejpam-4353	219	12	)	)	PUNCT
ejpam-4353	219	13	.	.	PUNCT
ejpam-4353	220	1	theorem	theorem	NOUN
ejpam-4353	220	2	5	5	NUM
ejpam-4353	220	3	.	.	PUNCT
ejpam-4353	221	1	let	let	VERB
ejpam-4353	221	2	(	(	PUNCT
ejpam-4353	221	3	ω	ω	NOUN
ejpam-4353	221	4	,	,	PUNCT
ejpam-4353	221	5	˜̃g	˜̃g	PROPN
ejpam-4353	221	6	,	,	PUNCT
ejpam-4353	221	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	221	8	)	)	PUNCT
ejpam-4353	221	9	be	be	VERB
ejpam-4353	221	10	a	a	DET
ejpam-4353	221	11	bsgt	bsgt	NOUN
ejpam-4353	221	12	s	s	PRON
ejpam-4353	221	13	and	and	CCONJ
ejpam-4353	221	14	(	(	PUNCT
ejpam-4353	221	15	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	221	16	,	,	PUNCT
ejpam-4353	221	17	ς),(θ2,λ2	ς),(θ2,λ2	NUM
ejpam-4353	221	18	,	,	PUNCT
ejpam-4353	221	19	ς	ς	PROPN
ejpam-4353	221	20	)	)	PUNCT
ejpam-4353	221	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	221	22	bss(ω	bss(ω	PROPN
ejpam-4353	221	23	)	)	PUNCT
ejpam-4353	221	24	.	.	PUNCT
ejpam-4353	222	1	then	then	ADV
ejpam-4353	222	2	(	(	PUNCT
ejpam-4353	222	3	i	i	NOUN
ejpam-4353	222	4	)	)	PUNCT
ejpam-4353	222	5	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	222	6	,	,	PUNCT
ejpam-4353	222	7	ς	ς	NOUN
ejpam-4353	222	8	)	)	PUNCT
ejpam-4353	222	9	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	222	10	(	(	PUNCT
ejpam-4353	222	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	222	12	,	,	PUNCT
ejpam-4353	222	13	ς	ς	PROPN
ejpam-4353	222	14	)	)	PUNCT
ejpam-4353	222	15	.	.	PUNCT
ejpam-4353	223	1	(	(	PUNCT
ejpam-4353	223	2	ii	ii	NOUN
ejpam-4353	223	3	)	)	PUNCT
ejpam-4353	223	4	(	(	PUNCT
ejpam-4353	223	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	223	6	,	,	PUNCT
ejpam-4353	223	7	ς	ς	NOUN
ejpam-4353	223	8	)	)	PUNCT
ejpam-4353	223	9	is	be	AUX
ejpam-4353	223	10	bipolar	bipolar	ADJ
ejpam-4353	223	11	soft	soft	ADJ
ejpam-4353	223	12	˜̃g	˜̃g	NOUN
ejpam-4353	223	13	-	-	PUNCT
ejpam-4353	223	14	open	open	ADJ
ejpam-4353	223	15	if	if	SCONJ
ejpam-4353	223	16	and	and	CCONJ
ejpam-4353	223	17	only	only	ADV
ejpam-4353	223	18	if	if	SCONJ
ejpam-4353	223	19	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	223	20	,	,	PUNCT
ejpam-4353	223	21	ς	ς	NOUN
ejpam-4353	223	22	)	)	PUNCT
ejpam-4353	223	23	=	=	SYM
ejpam-4353	223	24	(	(	PUNCT
ejpam-4353	223	25	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	223	26	,	,	PUNCT
ejpam-4353	223	27	ς	ς	PROPN
ejpam-4353	223	28	)	)	PUNCT
ejpam-4353	223	29	.	.	PUNCT
ejpam-4353	224	1	(	(	PUNCT
ejpam-4353	224	2	iii	iii	X
ejpam-4353	224	3	)	)	PUNCT
ejpam-4353	224	4	i˜̃g(i˜̃g(θ1,λ1	i˜̃g(i˜̃g(θ1,λ1	PROPN
ejpam-4353	224	5	,	,	PUNCT
ejpam-4353	224	6	ς	ς	NOUN
ejpam-4353	224	7	)	)	PUNCT
ejpam-4353	224	8	=	=	SYM
ejpam-4353	224	9	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	224	10	,	,	PUNCT
ejpam-4353	224	11	ς	ς	NOUN
ejpam-4353	224	12	)	)	PUNCT
ejpam-4353	224	13	.	.	PUNCT
ejpam-4353	225	1	(	(	PUNCT
ejpam-4353	225	2	iv	iv	X
ejpam-4353	225	3	)	)	PUNCT
ejpam-4353	225	4	if	if	SCONJ
ejpam-4353	225	5	(	(	PUNCT
ejpam-4353	225	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	225	7	,	,	PUNCT
ejpam-4353	225	8	ς	ς	PROPN
ejpam-4353	225	9	)	)	PUNCT
ejpam-4353	225	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	225	11	(	(	PUNCT
ejpam-4353	225	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	225	13	,	,	PUNCT
ejpam-4353	225	14	ς	ς	NOUN
ejpam-4353	225	15	)	)	PUNCT
ejpam-4353	225	16	,	,	PUNCT
ejpam-4353	225	17	then	then	ADV
ejpam-4353	225	18	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	225	19	,	,	PUNCT
ejpam-4353	225	20	ς	ς	NOUN
ejpam-4353	225	21	)	)	PUNCT
ejpam-4353	225	22	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	225	23	i˜̃g(θ2,λ2	i˜̃g(θ2,λ2	PROPN
ejpam-4353	225	24	,	,	PUNCT
ejpam-4353	225	25	ς	ς	PROPN
ejpam-4353	225	26	)	)	PUNCT
ejpam-4353	225	27	.	.	PUNCT
ejpam-4353	226	1	(	(	PUNCT
ejpam-4353	226	2	v	v	NOUN
ejpam-4353	226	3	)	)	PUNCT
ejpam-4353	226	4	i˜̃g((θ1,λ1	i˜̃g((θ1,λ1	PROPN
ejpam-4353	226	5	,	,	PUNCT
ejpam-4353	226	6	ς	ς	NOUN
ejpam-4353	226	7	)	)	PUNCT
ejpam-4353	226	8	˜̃∩	˜̃∩	ADV
ejpam-4353	226	9	(	(	PUNCT
ejpam-4353	226	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	226	11	,	,	PUNCT
ejpam-4353	226	12	ς	ς	NOUN
ejpam-4353	226	13	)	)	PUNCT
ejpam-4353	226	14	)	)	PUNCT
ejpam-4353	227	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	227	2	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	227	3	,	,	PUNCT
ejpam-4353	227	4	ς	ς	NOUN
ejpam-4353	227	5	)	)	PUNCT
ejpam-4353	227	6	˜̃∩	˜̃∩	ADV
ejpam-4353	227	7	i˜̃g(θ2,λ2	i˜̃g(θ2,λ2	PROPN
ejpam-4353	227	8	,	,	PUNCT
ejpam-4353	227	9	ς	ς	PROPN
ejpam-4353	227	10	)	)	PUNCT
ejpam-4353	227	11	.	.	PUNCT
ejpam-4353	228	1	(	(	PUNCT
ejpam-4353	228	2	vi	vi	NOUN
ejpam-4353	228	3	)	)	PUNCT
ejpam-4353	228	4	i˜̃g((θ1,λ1	i˜̃g((θ1,λ1	PROPN
ejpam-4353	228	5	,	,	PUNCT
ejpam-4353	228	6	ς	ς	NOUN
ejpam-4353	228	7	)	)	PUNCT
ejpam-4353	228	8	˜̃∪	˜̃∪	PROPN
ejpam-4353	228	9	(	(	PUNCT
ejpam-4353	228	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	228	11	,	,	PUNCT
ejpam-4353	228	12	ς	ς	NOUN
ejpam-4353	228	13	)	)	PUNCT
ejpam-4353	228	14	)	)	PUNCT
ejpam-4353	228	15	˜̃⊇	˜̃⊇	ADP
ejpam-4353	228	16	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	228	17	,	,	PUNCT
ejpam-4353	228	18	ς	ς	NOUN
ejpam-4353	228	19	)	)	PUNCT
ejpam-4353	228	20	˜̃∪	˜̃∪	PROPN
ejpam-4353	228	21	i˜̃g(θ2,λ2	i˜̃g(θ2,λ2	PROPN
ejpam-4353	228	22	,	,	PUNCT
ejpam-4353	228	23	ς	ς	PROPN
ejpam-4353	228	24	)	)	PUNCT
ejpam-4353	228	25	.	.	PUNCT
ejpam-4353	229	1	(	(	PUNCT
ejpam-4353	229	2	vii	vii	PROPN
ejpam-4353	229	3	)	)	PUNCT
ejpam-4353	229	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	229	5	(	(	PUNCT
ejpam-4353	229	6	φ	φ	PROPN
ejpam-4353	229	7	,	,	PUNCT
ejpam-4353	229	8	˜̃ω	˜̃ω	PROPN
ejpam-4353	229	9	,	,	PUNCT
ejpam-4353	229	10	ς	ς	NOUN
ejpam-4353	229	11	)	)	PUNCT
ejpam-4353	229	12	=	=	SYM
ejpam-4353	229	13	(	(	PUNCT
ejpam-4353	229	14	φ	φ	PROPN
ejpam-4353	229	15	,	,	PUNCT
ejpam-4353	229	16	˜̃	˜̃	NOUN
ejpam-4353	229	17	ω	ω	PROPN
ejpam-4353	229	18	,	,	PUNCT
ejpam-4353	229	19	ς	ς	PROPN
ejpam-4353	229	20	)	)	PUNCT
ejpam-4353	229	21	.	.	PUNCT
ejpam-4353	230	1	proof	proof	NOUN
ejpam-4353	230	2	.	.	PUNCT
ejpam-4353	231	1	(	(	PUNCT
ejpam-4353	231	2	i	i	NOUN
ejpam-4353	231	3	)	)	PUNCT
ejpam-4353	231	4	since	since	SCONJ
ejpam-4353	231	5	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	231	6	,	,	PUNCT
ejpam-4353	231	7	ς	ς	NOUN
ejpam-4353	231	8	)	)	PUNCT
ejpam-4353	231	9	=	=	PUNCT
ejpam-4353	231	10	˜̃⋃{(θj	˜̃⋃{(θj	NOUN
ejpam-4353	231	11	,	,	PUNCT
ejpam-4353	231	12	λj	λj	PROPN
ejpam-4353	231	13	,	,	PUNCT
ejpam-4353	231	14	ς	ς	PROPN
ejpam-4353	231	15	)	)	PUNCT
ejpam-4353	231	16	:	:	PUNCT
ejpam-4353	231	17	(	(	PUNCT
ejpam-4353	231	18	θj	θj	INTJ
ejpam-4353	231	19	,	,	PUNCT
ejpam-4353	231	20	λj	λj	PROPN
ejpam-4353	231	21	,	,	PUNCT
ejpam-4353	231	22	ς	ς	PROPN
ejpam-4353	231	23	)	)	PUNCT
ejpam-4353	231	24	˜̃∈	˜̃∈	PROPN
ejpam-4353	231	25	˜̃g	˜̃g	PROPN
ejpam-4353	231	26	,	,	PUNCT
ejpam-4353	231	27	(	(	PUNCT
ejpam-4353	231	28	θj	θj	INTJ
ejpam-4353	231	29	,	,	PUNCT
ejpam-4353	231	30	λj	λj	PROPN
ejpam-4353	231	31	,	,	PUNCT
ejpam-4353	231	32	ς	ς	PROPN
ejpam-4353	231	33	)	)	PUNCT
ejpam-4353	231	34	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	231	35	(	(	PUNCT
ejpam-4353	231	36	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	231	37	,	,	PUNCT
ejpam-4353	231	38	ς	ς	PROPN
ejpam-4353	231	39	)	)	PUNCT
ejpam-4353	231	40	,	,	PUNCT
ejpam-4353	231	41	j	j	PROPN
ejpam-4353	231	42	∈	∈	PROPN
ejpam-4353	231	43	j	j	PROPN
ejpam-4353	231	44	}	}	PUNCT
ejpam-4353	231	45	.	.	PUNCT
ejpam-4353	232	1	then	then	ADV
ejpam-4353	232	2	θj(ϱ	θj(ϱ	PUNCT
ejpam-4353	232	3	)	)	PUNCT
ejpam-4353	232	4	⊆	⊆	NUM
ejpam-4353	232	5	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	232	6	)	)	PUNCT
ejpam-4353	232	7	and	and	CCONJ
ejpam-4353	232	8	λ1(¬ϱ	λ1(¬ϱ	PROPN
ejpam-4353	232	9	)	)	PUNCT
ejpam-4353	232	10	⊆	⊆	NUM
ejpam-4353	232	11	λj	λj	PROPN
ejpam-4353	232	12	(	(	PUNCT
ejpam-4353	232	13	¬ϱ	¬ϱ	NOUN
ejpam-4353	232	14	)	)	PUNCT
ejpam-4353	232	15	for	for	ADP
ejpam-4353	232	16	all	all	DET
ejpam-4353	232	17	j	j	PROPN
ejpam-4353	232	18	∈	∈	PROPN
ejpam-4353	232	19	j	j	PROPN
ejpam-4353	232	20	.	.	PUNCT
ejpam-4353	233	1	so	so	ADV
ejpam-4353	233	2	,	,	PUNCT
ejpam-4353	233	3	⋃	⋃	NOUN
ejpam-4353	233	4	j∈j	j∈j	NOUN
ejpam-4353	233	5	θj(ϱ	θj(ϱ	NUM
ejpam-4353	233	6	)	)	PUNCT
ejpam-4353	233	7	⊆	⊆	NUM
ejpam-4353	233	8	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	233	9	)	)	PUNCT
ejpam-4353	233	10	and	and	CCONJ
ejpam-4353	233	11	λ1(¬ϱ	λ1(¬ϱ	PROPN
ejpam-4353	233	12	)	)	PUNCT
ejpam-4353	233	13	⊆	⊆	NUM
ejpam-4353	233	14	⋂	⋂	PROPN
ejpam-4353	233	15	j∈j	j∈j	NOUN
ejpam-4353	233	16	λj(¬ϱ	λj(¬ϱ	PROPN
ejpam-4353	233	17	)	)	PUNCT
ejpam-4353	233	18	.	.	PUNCT
ejpam-4353	234	1	therefore	therefore	ADV
ejpam-4353	234	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	234	3	(	(	PUNCT
ejpam-4353	234	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	234	5	,	,	PUNCT
ejpam-4353	234	6	ς	ς	PROPN
ejpam-4353	234	7	)	)	PUNCT
ejpam-4353	234	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	234	9	(	(	PUNCT
ejpam-4353	234	10	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	234	11	,	,	PUNCT
ejpam-4353	234	12	ς	ς	PROPN
ejpam-4353	234	13	)	)	PUNCT
ejpam-4353	234	14	.	.	PUNCT
ejpam-4353	235	1	(	(	PUNCT
ejpam-4353	235	2	ii	ii	NOUN
ejpam-4353	235	3	)	)	PUNCT
ejpam-4353	235	4	let	let	AUX
ejpam-4353	235	5	(	(	PUNCT
ejpam-4353	235	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	235	7	,	,	PUNCT
ejpam-4353	235	8	ς	ς	NOUN
ejpam-4353	235	9	)	)	PUNCT
ejpam-4353	235	10	be	be	VERB
ejpam-4353	235	11	a	a	DET
ejpam-4353	235	12	bipolar	bipolar	ADJ
ejpam-4353	235	13	soft	soft	ADJ
ejpam-4353	235	14	˜̃g	˜̃g	NOUN
ejpam-4353	235	15	-	-	PUNCT
ejpam-4353	235	16	open	open	NOUN
ejpam-4353	235	17	set	set	NOUN
ejpam-4353	235	18	.	.	PUNCT
ejpam-4353	236	1	then	then	ADV
ejpam-4353	236	2	(	(	PUNCT
ejpam-4353	236	3	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	236	4	,	,	PUNCT
ejpam-4353	236	5	ς	ς	NOUN
ejpam-4353	236	6	)	)	PUNCT
ejpam-4353	236	7	is	be	AUX
ejpam-4353	236	8	the	the	DET
ejpam-4353	236	9	largest	large	ADJ
ejpam-4353	236	10	bipolar	bipolar	ADJ
ejpam-4353	236	11	soft	soft	ADJ
ejpam-4353	236	12	˜̃g	˜̃g	NOUN
ejpam-4353	236	13	-	-	PUNCT
ejpam-4353	236	14	open	open	ADJ
ejpam-4353	236	15	set	set	NOUN
ejpam-4353	236	16	contained	contain	VERB
ejpam-4353	236	17	in	in	ADP
ejpam-4353	236	18	(	(	PUNCT
ejpam-4353	236	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	236	20	,	,	PUNCT
ejpam-4353	236	21	ς	ς	PROPN
ejpam-4353	236	22	)	)	PUNCT
ejpam-4353	236	23	.	.	PUNCT
ejpam-4353	237	1	from	from	ADP
ejpam-4353	237	2	(	(	PUNCT
ejpam-4353	237	3	i	i	NOUN
ejpam-4353	237	4	)	)	PUNCT
ejpam-4353	237	5	,	,	PUNCT
ejpam-4353	237	6	we	we	PRON
ejpam-4353	237	7	have	have	VERB
ejpam-4353	237	8	i˜̃g	i˜̃g	NOUN
ejpam-4353	237	9	(	(	PUNCT
ejpam-4353	237	10	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	237	11	,	,	PUNCT
ejpam-4353	237	12	ς	ς	PROPN
ejpam-4353	237	13	)	)	PUNCT
ejpam-4353	237	14	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	237	15	(	(	PUNCT
ejpam-4353	237	16	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	237	17	,	,	PUNCT
ejpam-4353	237	18	ς	ς	PROPN
ejpam-4353	237	19	)	)	PUNCT
ejpam-4353	237	20	.	.	PUNCT
ejpam-4353	238	1	therefore	therefore	ADV
ejpam-4353	238	2	,	,	PUNCT
ejpam-4353	238	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	238	4	(	(	PUNCT
ejpam-4353	238	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	238	6	,	,	PUNCT
ejpam-4353	238	7	ς	ς	NOUN
ejpam-4353	238	8	)	)	PUNCT
ejpam-4353	238	9	=	=	SYM
ejpam-4353	238	10	(	(	PUNCT
ejpam-4353	238	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	238	12	,	,	PUNCT
ejpam-4353	238	13	ς	ς	NOUN
ejpam-4353	238	14	)	)	PUNCT
ejpam-4353	238	15	.	.	PUNCT
ejpam-4353	239	1	conversely	conversely	ADV
ejpam-4353	239	2	,	,	PUNCT
ejpam-4353	239	3	assume	assume	VERB
ejpam-4353	239	4	that	that	SCONJ
ejpam-4353	239	5	i˜̃g	i˜̃g	NOUN
ejpam-4353	239	6	(	(	PUNCT
ejpam-4353	239	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	239	8	,	,	PUNCT
ejpam-4353	239	9	ς	ς	NOUN
ejpam-4353	239	10	)	)	PUNCT
ejpam-4353	239	11	=	=	SYM
ejpam-4353	239	12	(	(	PUNCT
ejpam-4353	239	13	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	239	14	,	,	PUNCT
ejpam-4353	239	15	ς	ς	PROPN
ejpam-4353	239	16	)	)	PUNCT
ejpam-4353	239	17	.	.	PUNCT
ejpam-4353	240	1	since	since	SCONJ
ejpam-4353	240	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	240	3	(	(	PUNCT
ejpam-4353	240	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	240	5	,	,	PUNCT
ejpam-4353	240	6	ς	ς	NOUN
ejpam-4353	240	7	)	)	PUNCT
ejpam-4353	240	8	is	be	AUX
ejpam-4353	240	9	a	a	DET
ejpam-4353	240	10	bipolar	bipolar	ADJ
ejpam-4353	240	11	soft	soft	ADJ
ejpam-4353	240	12	union	union	NOUN
ejpam-4353	240	13	of	of	ADP
ejpam-4353	240	14	all	all	DET
ejpam-4353	240	15	bipolar	bipolar	ADJ
ejpam-4353	240	16	soft	soft	ADJ
ejpam-4353	240	17	˜̃g	˜̃g	NOUN
ejpam-4353	240	18	-	-	PUNCT
ejpam-4353	240	19	open	open	ADJ
ejpam-4353	240	20	subsets	subset	NOUN
ejpam-4353	240	21	of	of	ADP
ejpam-4353	240	22	(	(	PUNCT
ejpam-4353	240	23	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	240	24	,	,	PUNCT
ejpam-4353	240	25	ς	ς	PROPN
ejpam-4353	240	26	)	)	PUNCT
ejpam-4353	240	27	and	and	CCONJ
ejpam-4353	240	28	˜̃g	˜̃g	PROPN
ejpam-4353	240	29	is	be	AUX
ejpam-4353	240	30	closed	close	VERB
ejpam-4353	240	31	under	under	ADP
ejpam-4353	240	32	arbitrary	arbitrary	ADJ
ejpam-4353	240	33	bipolar	bipolar	ADJ
ejpam-4353	240	34	soft	soft	ADJ
ejpam-4353	240	35	union	union	NOUN
ejpam-4353	240	36	,	,	PUNCT
ejpam-4353	240	37	then	then	ADV
ejpam-4353	240	38	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	240	39	,	,	PUNCT
ejpam-4353	240	40	ς	ς	NOUN
ejpam-4353	240	41	)	)	PUNCT
ejpam-4353	240	42	is	be	AUX
ejpam-4353	240	43	bipolar	bipolar	ADJ
ejpam-4353	240	44	soft	soft	ADJ
ejpam-4353	240	45	˜̃g	˜̃g	NOUN
ejpam-4353	240	46	-	-	PUNCT
ejpam-4353	240	47	open	open	ADJ
ejpam-4353	240	48	.	.	PUNCT
ejpam-4353	241	1	thus	thus	ADV
ejpam-4353	241	2	,	,	PUNCT
ejpam-4353	241	3	(	(	PUNCT
ejpam-4353	241	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	241	5	,	,	PUNCT
ejpam-4353	241	6	ς	ς	NOUN
ejpam-4353	241	7	)	)	PUNCT
ejpam-4353	241	8	is	be	AUX
ejpam-4353	241	9	bipolar	bipolar	ADJ
ejpam-4353	241	10	soft	soft	ADJ
ejpam-4353	241	11	˜̃g	˜̃g	NOUN
ejpam-4353	241	12	-	-	PUNCT
ejpam-4353	241	13	open	open	ADJ
ejpam-4353	241	14	.	.	PUNCT
ejpam-4353	242	1	(	(	PUNCT
ejpam-4353	242	2	iii	iii	NOUN
ejpam-4353	242	3	)	)	PUNCT
ejpam-4353	242	4	since	since	SCONJ
ejpam-4353	242	5	i˜̃g	i˜̃g	NOUN
ejpam-4353	242	6	(	(	PUNCT
ejpam-4353	242	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	242	8	,	,	PUNCT
ejpam-4353	242	9	ς	ς	NOUN
ejpam-4353	242	10	)	)	PUNCT
ejpam-4353	242	11	is	be	AUX
ejpam-4353	242	12	a	a	DET
ejpam-4353	242	13	bipolar	bipolar	ADJ
ejpam-4353	242	14	soft	soft	ADJ
ejpam-4353	242	15	˜̃g	˜̃g	NOUN
ejpam-4353	242	16	-	-	PUNCT
ejpam-4353	242	17	open	open	NOUN
ejpam-4353	242	18	set	set	NOUN
ejpam-4353	242	19	.	.	PUNCT
ejpam-4353	243	1	thus	thus	ADV
ejpam-4353	243	2	by	by	ADP
ejpam-4353	243	3	(	(	PUNCT
ejpam-4353	243	4	ii	ii	NOUN
ejpam-4353	243	5	)	)	PUNCT
ejpam-4353	243	6	,	,	PUNCT
ejpam-4353	243	7	i˜̃g	i˜̃g	NOUN
ejpam-4353	243	8	(	(	PUNCT
ejpam-4353	243	9	i˜̃g	i˜̃g	NOUN
ejpam-4353	243	10	(	(	PUNCT
ejpam-4353	243	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	243	12	,	,	PUNCT
ejpam-4353	243	13	ς	ς	NOUN
ejpam-4353	243	14	)	)	PUNCT
ejpam-4353	243	15	)	)	PUNCT
ejpam-4353	244	1	=	=	SYM
ejpam-4353	244	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	244	3	(	(	PUNCT
ejpam-4353	244	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	244	5	,	,	PUNCT
ejpam-4353	244	6	ς	ς	PROPN
ejpam-4353	244	7	)	)	PUNCT
ejpam-4353	244	8	.	.	PUNCT
ejpam-4353	245	1	(	(	PUNCT
ejpam-4353	245	2	iv	iv	X
ejpam-4353	245	3	)	)	PUNCT
ejpam-4353	245	4	suppose	suppose	VERB
ejpam-4353	245	5	(	(	PUNCT
ejpam-4353	245	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	245	7	,	,	PUNCT
ejpam-4353	245	8	ς	ς	PROPN
ejpam-4353	245	9	)	)	PUNCT
ejpam-4353	245	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	245	11	(	(	PUNCT
ejpam-4353	245	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	245	13	,	,	PUNCT
ejpam-4353	245	14	ς	ς	PROPN
ejpam-4353	245	15	)	)	PUNCT
ejpam-4353	245	16	.	.	PUNCT
ejpam-4353	246	1	from	from	ADP
ejpam-4353	246	2	(	(	PUNCT
ejpam-4353	246	3	i	i	NOUN
ejpam-4353	246	4	)	)	PUNCT
ejpam-4353	246	5	,	,	PUNCT
ejpam-4353	246	6	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	246	7	,	,	PUNCT
ejpam-4353	246	8	ς	ς	NOUN
ejpam-4353	246	9	)	)	PUNCT
ejpam-4353	246	10	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	246	11	(	(	PUNCT
ejpam-4353	246	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	246	13	,	,	PUNCT
ejpam-4353	246	14	ς	ς	PROPN
ejpam-4353	246	15	)	)	PUNCT
ejpam-4353	246	16	.	.	PUNCT
ejpam-4353	247	1	therefore	therefore	ADV
ejpam-4353	247	2	,	,	PUNCT
ejpam-4353	247	3	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	247	4	,	,	PUNCT
ejpam-4353	247	5	ς	ς	NOUN
ejpam-4353	247	6	)	)	PUNCT
ejpam-4353	247	7	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	247	8	(	(	PUNCT
ejpam-4353	247	9	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	247	10	,	,	PUNCT
ejpam-4353	247	11	ς	ς	NOUN
ejpam-4353	247	12	)	)	PUNCT
ejpam-4353	247	13	.	.	PUNCT
ejpam-4353	248	1	now	now	ADV
ejpam-4353	248	2	,	,	PUNCT
ejpam-4353	248	3	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	248	4	,	,	PUNCT
ejpam-4353	248	5	ς	ς	NOUN
ejpam-4353	248	6	)	)	PUNCT
ejpam-4353	248	7	is	be	AUX
ejpam-4353	248	8	a	a	DET
ejpam-4353	248	9	bipolar	bipolar	ADJ
ejpam-4353	248	10	soft	soft	ADJ
ejpam-4353	248	11	˜̃g	˜̃g	NOUN
ejpam-4353	248	12	-	-	PUNCT
ejpam-4353	248	13	open	open	ADJ
ejpam-4353	248	14	set	set	NOUN
ejpam-4353	248	15	contained	contain	VERB
ejpam-4353	248	16	in	in	ADP
ejpam-4353	248	17	(	(	PUNCT
ejpam-4353	248	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	248	19	,	,	PUNCT
ejpam-4353	248	20	ς	ς	NOUN
ejpam-4353	248	21	)	)	PUNCT
ejpam-4353	248	22	.	.	PUNCT
ejpam-4353	249	1	so	so	ADV
ejpam-4353	249	2	,	,	PUNCT
ejpam-4353	249	3	it	it	PRON
ejpam-4353	249	4	is	be	AUX
ejpam-4353	249	5	contained	contain	VERB
ejpam-4353	249	6	in	in	ADP
ejpam-4353	249	7	bipolar	bipolar	ADJ
ejpam-4353	249	8	soft	soft	ADJ
ejpam-4353	249	9	˜̃g	˜̃g	NOUN
ejpam-4353	249	10	-	-	PUNCT
ejpam-4353	249	11	interior	interior	NOUN
ejpam-4353	249	12	,	,	PUNCT
ejpam-4353	249	13	and	and	CCONJ
ejpam-4353	249	14	since	since	SCONJ
ejpam-4353	249	15	i˜̃g	i˜̃g	NOUN
ejpam-4353	249	16	(	(	PUNCT
ejpam-4353	249	17	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	249	18	,	,	PUNCT
ejpam-4353	249	19	ς	ς	NOUN
ejpam-4353	249	20	)	)	PUNCT
ejpam-4353	249	21	is	be	AUX
ejpam-4353	249	22	h.	h.	PROPN
ejpam-4353	249	23	y.	y.	PROPN
ejpam-4353	249	24	saleh	saleh	PROPN
ejpam-4353	249	25	,	,	PUNCT
ejpam-4353	249	26	b.	b.	PROPN
ejpam-4353	249	27	a.	a.	PROPN
ejpam-4353	249	28	asaad	asaad	PROPN
ejpam-4353	249	29	,	,	PUNCT
ejpam-4353	249	30	r.	r.	PROPN
ejpam-4353	249	31	a.	a.	PROPN
ejpam-4353	249	32	mohammed	mohammed	PROPN
ejpam-4353	249	33	/	/	SYM
ejpam-4353	249	34	eur	eur	PROPN
ejpam-4353	249	35	.	.	PUNCT
ejpam-4353	250	1	j.	j.	PROPN
ejpam-4353	250	2	pure	pure	PROPN
ejpam-4353	250	3	appl	appl	PROPN
ejpam-4353	250	4	.	.	PROPN
ejpam-4353	250	5	math	math	PROPN
ejpam-4353	250	6	,	,	PUNCT
ejpam-4353	250	7	15	15	NUM
ejpam-4353	250	8	(	(	PUNCT
ejpam-4353	250	9	2	2	NUM
ejpam-4353	250	10	)	)	PUNCT
ejpam-4353	250	11	(	(	PUNCT
ejpam-4353	250	12	2022	2022	NUM
ejpam-4353	250	13	)	)	PUNCT
ejpam-4353	250	14	,	,	PUNCT
ejpam-4353	250	15	646	646	NUM
ejpam-4353	250	16	-	-	SYM
ejpam-4353	250	17	671	671	NUM
ejpam-4353	250	18	656	656	NUM
ejpam-4353	250	19	the	the	DET
ejpam-4353	250	20	largest	large	ADJ
ejpam-4353	250	21	bipolar	bipolar	ADJ
ejpam-4353	250	22	soft	soft	ADJ
ejpam-4353	250	23	˜̃g	˜̃g	NOUN
ejpam-4353	250	24	-	-	PUNCT
ejpam-4353	250	25	open	open	ADJ
ejpam-4353	250	26	set	set	NOUN
ejpam-4353	250	27	contained	contain	VERB
ejpam-4353	250	28	in	in	ADP
ejpam-4353	250	29	(	(	PUNCT
ejpam-4353	250	30	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	250	31	,	,	PUNCT
ejpam-4353	250	32	ς	ς	NOUN
ejpam-4353	250	33	)	)	PUNCT
ejpam-4353	250	34	.	.	PUNCT
ejpam-4353	251	1	therefore	therefore	ADV
ejpam-4353	251	2	,	,	PUNCT
ejpam-4353	251	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	251	4	(	(	PUNCT
ejpam-4353	251	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	251	6	,	,	PUNCT
ejpam-4353	251	7	ς)˜̃⊆	ς)˜̃⊆	PROPN
ejpam-4353	251	8	i˜̃g	i˜̃g	NOUN
ejpam-4353	251	9	(	(	PUNCT
ejpam-4353	251	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	251	11	,	,	PUNCT
ejpam-4353	251	12	ς	ς	NOUN
ejpam-4353	251	13	)	)	PUNCT
ejpam-4353	251	14	.	.	PUNCT
ejpam-4353	252	1	(	(	PUNCT
ejpam-4353	252	2	v	v	NOUN
ejpam-4353	252	3	)	)	PUNCT
ejpam-4353	252	4	since	since	SCONJ
ejpam-4353	252	5	(	(	PUNCT
ejpam-4353	252	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	252	7	,	,	PUNCT
ejpam-4353	252	8	ς	ς	PROPN
ejpam-4353	252	9	)	)	PUNCT
ejpam-4353	252	10	˜̃∩	˜̃∩	ADV
ejpam-4353	252	11	(	(	PUNCT
ejpam-4353	252	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	252	13	,	,	PUNCT
ejpam-4353	252	14	ς	ς	NOUN
ejpam-4353	252	15	)	)	PUNCT
ejpam-4353	252	16	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	252	17	(	(	PUNCT
ejpam-4353	252	18	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	252	19	,	,	PUNCT
ejpam-4353	252	20	ς	ς	PROPN
ejpam-4353	252	21	)	)	PUNCT
ejpam-4353	252	22	and	and	CCONJ
ejpam-4353	252	23	(	(	PUNCT
ejpam-4353	252	24	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	252	25	,	,	PUNCT
ejpam-4353	252	26	ς	ς	PROPN
ejpam-4353	252	27	)	)	PUNCT
ejpam-4353	252	28	˜̃∩	˜̃∩	ADV
ejpam-4353	252	29	(	(	PUNCT
ejpam-4353	252	30	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	252	31	,	,	PUNCT
ejpam-4353	252	32	ς	ς	NOUN
ejpam-4353	252	33	)	)	PUNCT
ejpam-4353	252	34	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	252	35	(	(	PUNCT
ejpam-4353	252	36	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	252	37	,	,	PUNCT
ejpam-4353	252	38	ς	ς	NOUN
ejpam-4353	252	39	)	)	PUNCT
ejpam-4353	252	40	.	.	PUNCT
ejpam-4353	253	1	so	so	ADV
ejpam-4353	253	2	,	,	PUNCT
ejpam-4353	253	3	by	by	ADP
ejpam-4353	253	4	(	(	PUNCT
ejpam-4353	253	5	iv	iv	X
ejpam-4353	253	6	)	)	PUNCT
ejpam-4353	253	7	,	,	PUNCT
ejpam-4353	253	8	i˜̃g	i˜̃g	NOUN
ejpam-4353	253	9	(	(	PUNCT
ejpam-4353	253	10	(	(	PUNCT
ejpam-4353	253	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	253	12	,	,	PUNCT
ejpam-4353	253	13	ς	ς	PROPN
ejpam-4353	253	14	)	)	PUNCT
ejpam-4353	253	15	˜̃∩	˜̃∩	ADV
ejpam-4353	253	16	(	(	PUNCT
ejpam-4353	253	17	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	253	18	,	,	PUNCT
ejpam-4353	253	19	ς	ς	NOUN
ejpam-4353	253	20	)	)	PUNCT
ejpam-4353	253	21	)	)	PUNCT
ejpam-4353	254	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	254	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	254	3	(	(	PUNCT
ejpam-4353	254	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	254	5	,	,	PUNCT
ejpam-4353	254	6	ς	ς	NOUN
ejpam-4353	254	7	)	)	PUNCT
ejpam-4353	254	8	and	and	CCONJ
ejpam-4353	254	9	i˜̃g	i˜̃g	NOUN
ejpam-4353	254	10	(	(	PUNCT
ejpam-4353	254	11	(	(	PUNCT
ejpam-4353	254	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	254	13	,	,	PUNCT
ejpam-4353	254	14	ς	ς	PROPN
ejpam-4353	254	15	)	)	PUNCT
ejpam-4353	254	16	˜̃∩	˜̃∩	ADV
ejpam-4353	254	17	(	(	PUNCT
ejpam-4353	254	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	254	19	,	,	PUNCT
ejpam-4353	254	20	ς))˜̃⊆	ς))˜̃⊆	PROPN
ejpam-4353	254	21	i˜̃g	i˜̃g	NOUN
ejpam-4353	254	22	(	(	PUNCT
ejpam-4353	254	23	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	254	24	,	,	PUNCT
ejpam-4353	254	25	ς	ς	NOUN
ejpam-4353	254	26	)	)	PUNCT
ejpam-4353	254	27	.	.	PUNCT
ejpam-4353	255	1	hence	hence	ADV
ejpam-4353	255	2	,	,	PUNCT
ejpam-4353	255	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	255	4	(	(	PUNCT
ejpam-4353	255	5	(	(	PUNCT
ejpam-4353	255	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	255	7	,	,	PUNCT
ejpam-4353	255	8	ς	ς	PROPN
ejpam-4353	255	9	)	)	PUNCT
ejpam-4353	255	10	˜̃∩	˜̃∩	ADV
ejpam-4353	255	11	(	(	PUNCT
ejpam-4353	255	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	255	13	,	,	PUNCT
ejpam-4353	255	14	ς	ς	NOUN
ejpam-4353	255	15	)	)	PUNCT
ejpam-4353	255	16	)	)	PUNCT
ejpam-4353	256	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	256	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	256	3	(	(	PUNCT
ejpam-4353	256	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	256	5	,	,	PUNCT
ejpam-4353	256	6	ς	ς	PROPN
ejpam-4353	256	7	)	)	PUNCT
ejpam-4353	256	8	˜̃∩	˜̃∩	ADV
ejpam-4353	256	9	i˜̃g(θ2,λ2	i˜̃g(θ2,λ2	PROPN
ejpam-4353	256	10	,	,	PUNCT
ejpam-4353	256	11	ς	ς	PROPN
ejpam-4353	256	12	)	)	PUNCT
ejpam-4353	256	13	.	.	PUNCT
ejpam-4353	257	1	(	(	PUNCT
ejpam-4353	257	2	vi	vi	X
ejpam-4353	257	3	)	)	PUNCT
ejpam-4353	257	4	we	we	PRON
ejpam-4353	257	5	know	know	VERB
ejpam-4353	257	6	that	that	SCONJ
ejpam-4353	257	7	(	(	PUNCT
ejpam-4353	257	8	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	257	9	,	,	PUNCT
ejpam-4353	257	10	ς	ς	PROPN
ejpam-4353	257	11	)	)	PUNCT
ejpam-4353	257	12	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	257	13	(	(	PUNCT
ejpam-4353	257	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	257	15	,	,	PUNCT
ejpam-4353	257	16	ς	ς	PROPN
ejpam-4353	257	17	)	)	PUNCT
ejpam-4353	257	18	˜̃∪	˜̃∪	PROPN
ejpam-4353	257	19	(	(	PUNCT
ejpam-4353	257	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	257	21	,	,	PUNCT
ejpam-4353	257	22	ς	ς	NOUN
ejpam-4353	257	23	)	)	PUNCT
ejpam-4353	257	24	and	and	CCONJ
ejpam-4353	257	25	(	(	PUNCT
ejpam-4353	257	26	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	257	27	,	,	PUNCT
ejpam-4353	257	28	ς	ς	NOUN
ejpam-4353	257	29	)	)	PUNCT
ejpam-4353	257	30	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	257	31	(	(	PUNCT
ejpam-4353	257	32	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	257	33	,	,	PUNCT
ejpam-4353	257	34	ς	ς	PROPN
ejpam-4353	257	35	)	)	PUNCT
ejpam-4353	257	36	˜̃∪	˜̃∪	PROPN
ejpam-4353	257	37	(	(	PUNCT
ejpam-4353	257	38	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	257	39	,	,	PUNCT
ejpam-4353	257	40	ς	ς	NOUN
ejpam-4353	257	41	)	)	PUNCT
ejpam-4353	257	42	.	.	PUNCT
ejpam-4353	258	1	then	then	ADV
ejpam-4353	258	2	by	by	ADP
ejpam-4353	258	3	(	(	PUNCT
ejpam-4353	258	4	v	v	NOUN
ejpam-4353	258	5	)	)	PUNCT
ejpam-4353	258	6	,	,	PUNCT
ejpam-4353	258	7	i˜̃g	i˜̃g	NOUN
ejpam-4353	258	8	(	(	PUNCT
ejpam-4353	258	9	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	258	10	,	,	PUNCT
ejpam-4353	258	11	ς	ς	NOUN
ejpam-4353	258	12	)	)	PUNCT
ejpam-4353	258	13	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	258	14	i˜̃g	i˜̃g	NOUN
ejpam-4353	258	15	(	(	PUNCT
ejpam-4353	258	16	(	(	PUNCT
ejpam-4353	258	17	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	258	18	,	,	PUNCT
ejpam-4353	258	19	ς	ς	PROPN
ejpam-4353	258	20	)	)	PUNCT
ejpam-4353	258	21	˜̃∪	˜̃∪	PROPN
ejpam-4353	258	22	(	(	PUNCT
ejpam-4353	258	23	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	258	24	,	,	PUNCT
ejpam-4353	258	25	ς	ς	NOUN
ejpam-4353	258	26	)	)	PUNCT
ejpam-4353	258	27	)	)	PUNCT
ejpam-4353	258	28	and	and	CCONJ
ejpam-4353	258	29	i˜̃g	i˜̃g	NOUN
ejpam-4353	258	30	(	(	PUNCT
ejpam-4353	258	31	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	258	32	,	,	PUNCT
ejpam-4353	258	33	ς)˜̃⊆	ς)˜̃⊆	PROPN
ejpam-4353	258	34	i˜̃g	i˜̃g	NOUN
ejpam-4353	258	35	(	(	PUNCT
ejpam-4353	258	36	(	(	PUNCT
ejpam-4353	258	37	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	258	38	,	,	PUNCT
ejpam-4353	258	39	ς	ς	PROPN
ejpam-4353	258	40	)	)	PUNCT
ejpam-4353	258	41	˜̃∪	˜̃∪	PROPN
ejpam-4353	258	42	(	(	PUNCT
ejpam-4353	258	43	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	258	44	,	,	PUNCT
ejpam-4353	258	45	ς	ς	NOUN
ejpam-4353	258	46	)	)	PUNCT
ejpam-4353	258	47	)	)	PUNCT
ejpam-4353	258	48	.	.	PUNCT
ejpam-4353	259	1	so	so	ADV
ejpam-4353	259	2	,	,	PUNCT
ejpam-4353	259	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	259	4	(	(	PUNCT
ejpam-4353	259	5	(	(	PUNCT
ejpam-4353	259	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	259	7	,	,	PUNCT
ejpam-4353	259	8	ς	ς	PROPN
ejpam-4353	259	9	)	)	PUNCT
ejpam-4353	259	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	259	11	(	(	PUNCT
ejpam-4353	259	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	259	13	,	,	PUNCT
ejpam-4353	259	14	ς	ς	NOUN
ejpam-4353	259	15	)	)	PUNCT
ejpam-4353	259	16	)	)	PUNCT
ejpam-4353	259	17	˜̃⊇	˜̃⊇	ADP
ejpam-4353	259	18	i˜̃g	i˜̃g	NOUN
ejpam-4353	259	19	(	(	PUNCT
ejpam-4353	259	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	259	21	,	,	PUNCT
ejpam-4353	259	22	ς	ς	PROPN
ejpam-4353	259	23	)	)	PUNCT
ejpam-4353	259	24	˜̃∪	˜̃∪	PROPN
ejpam-4353	259	25	i˜̃g(θ2,λ2	i˜̃g(θ2,λ2	PROPN
ejpam-4353	259	26	,	,	PUNCT
ejpam-4353	259	27	ς	ς	PROPN
ejpam-4353	259	28	)	)	PUNCT
ejpam-4353	259	29	.	.	PUNCT
ejpam-4353	260	1	(	(	PUNCT
ejpam-4353	260	2	vii	vii	PROPN
ejpam-4353	260	3	)	)	PUNCT
ejpam-4353	260	4	the	the	DET
ejpam-4353	260	5	proof	proof	NOUN
ejpam-4353	260	6	is	be	AUX
ejpam-4353	260	7	trivial	trivial	ADJ
ejpam-4353	260	8	.	.	PUNCT
ejpam-4353	261	1	in	in	ADP
ejpam-4353	261	2	the	the	DET
ejpam-4353	261	3	next	next	ADJ
ejpam-4353	261	4	example	example	NOUN
ejpam-4353	261	5	,	,	PUNCT
ejpam-4353	261	6	we	we	PRON
ejpam-4353	261	7	will	will	AUX
ejpam-4353	261	8	show	show	VERB
ejpam-4353	261	9	that	that	SCONJ
ejpam-4353	261	10	the	the	DET
ejpam-4353	261	11	equality	equality	NOUN
ejpam-4353	261	12	of	of	ADP
ejpam-4353	261	13	parts	part	NOUN
ejpam-4353	261	14	(	(	PUNCT
ejpam-4353	261	15	v	v	NOUN
ejpam-4353	261	16	)	)	PUNCT
ejpam-4353	261	17	and	and	CCONJ
ejpam-4353	261	18	(	(	PUNCT
ejpam-4353	261	19	vi	vi	X
ejpam-4353	261	20	)	)	PUNCT
ejpam-4353	261	21	in	in	ADP
ejpam-4353	261	22	theorem	theorem	NOUN
ejpam-4353	261	23	5	5	NUM
ejpam-4353	261	24	do	do	AUX
ejpam-4353	261	25	not	not	PART
ejpam-4353	261	26	hold	hold	VERB
ejpam-4353	261	27	.	.	PUNCT
ejpam-4353	262	1	example	example	NOUN
ejpam-4353	263	1	4	4	NUM
ejpam-4353	263	2	.	.	PUNCT
ejpam-4353	263	3	let	let	VERB
ejpam-4353	263	4	ω	ω	NOUN
ejpam-4353	263	5	=	=	SYM
ejpam-4353	263	6	{	{	PUNCT
ejpam-4353	263	7	ω1	ω1	PROPN
ejpam-4353	263	8	,	,	PUNCT
ejpam-4353	263	9	ω2	ω2	ADJ
ejpam-4353	263	10	,	,	PUNCT
ejpam-4353	263	11	ω3	ω3	NOUN
ejpam-4353	263	12	,	,	PUNCT
ejpam-4353	263	13	ω4	ω4	NUM
ejpam-4353	263	14	,	,	PUNCT
ejpam-4353	263	15	ω5	ω5	PROPN
ejpam-4353	263	16	}	}	PUNCT
ejpam-4353	263	17	,	,	PUNCT
ejpam-4353	263	18	ς	ς	PROPN
ejpam-4353	263	19	=	=	PUNCT
ejpam-4353	263	20	{	{	PUNCT
ejpam-4353	263	21	ϱ3	ϱ3	NOUN
ejpam-4353	263	22	,	,	PUNCT
ejpam-4353	263	23	ϱ4	ϱ4	NOUN
ejpam-4353	263	24	}	}	PUNCT
ejpam-4353	263	25	and˜̃g	and˜̃g	NOUN
ejpam-4353	264	1	=	=	PRON
ejpam-4353	264	2	{	{	PUNCT
ejpam-4353	264	3	(	(	PUNCT
ejpam-4353	264	4	φ	φ	PROPN
ejpam-4353	264	5	,	,	PUNCT
ejpam-4353	264	6	˜̃ω	˜̃ω	PROPN
ejpam-4353	264	7	,	,	PUNCT
ejpam-4353	264	8	ς	ς	PROPN
ejpam-4353	264	9	)	)	PUNCT
ejpam-4353	264	10	,	,	PUNCT
ejpam-4353	264	11	(	(	PUNCT
ejpam-4353	264	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	264	13	,	,	PUNCT
ejpam-4353	264	14	ς	ς	PROPN
ejpam-4353	264	15	)	)	PUNCT
ejpam-4353	264	16	,	,	PUNCT
ejpam-4353	264	17	(	(	PUNCT
ejpam-4353	264	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	264	19	,	,	PUNCT
ejpam-4353	264	20	ς	ς	NOUN
ejpam-4353	264	21	)	)	PUNCT
ejpam-4353	264	22	,	,	PUNCT
ejpam-4353	264	23	(	(	PUNCT
ejpam-4353	264	24	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	264	25	,	,	PUNCT
ejpam-4353	264	26	ς	ς	PROPN
ejpam-4353	264	27	)	)	PUNCT
ejpam-4353	264	28	,	,	PUNCT
ejpam-4353	264	29	(	(	PUNCT
ejpam-4353	264	30	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	264	31	,	,	PUNCT
ejpam-4353	264	32	ς	ς	NOUN
ejpam-4353	264	33	)	)	PUNCT
ejpam-4353	264	34	,	,	PUNCT
ejpam-4353	264	35	(	(	PUNCT
ejpam-4353	264	36	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	264	37	,	,	PUNCT
ejpam-4353	264	38	ς	ς	NOUN
ejpam-4353	264	39	)	)	PUNCT
ejpam-4353	264	40	}	}	PUNCT
ejpam-4353	264	41	,	,	PUNCT
ejpam-4353	264	42	where	where	SCONJ
ejpam-4353	264	43	(	(	PUNCT
ejpam-4353	264	44	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	264	45	,	,	PUNCT
ejpam-4353	264	46	ς	ς	NOUN
ejpam-4353	264	47	)	)	PUNCT
ejpam-4353	264	48	=	=	SYM
ejpam-4353	264	49	{	{	PUNCT
ejpam-4353	264	50	(	(	PUNCT
ejpam-4353	264	51	ϱ3	ϱ3	PROPN
ejpam-4353	264	52	,	,	PUNCT
ejpam-4353	264	53	{	{	PUNCT
ejpam-4353	264	54	ω1	ω1	PROPN
ejpam-4353	264	55	,	,	PUNCT
ejpam-4353	264	56	ω3	ω3	PROPN
ejpam-4353	264	57	,	,	PUNCT
ejpam-4353	264	58	ω5	ω5	PROPN
ejpam-4353	264	59	}	}	PUNCT
ejpam-4353	264	60	,	,	PUNCT
ejpam-4353	264	61	{	{	PUNCT
ejpam-4353	264	62	ω2	ω2	ADJ
ejpam-4353	264	63	}	}	PUNCT
ejpam-4353	264	64	)	)	PUNCT
ejpam-4353	264	65	,	,	PUNCT
ejpam-4353	264	66	(	(	PUNCT
ejpam-4353	264	67	ϱ4	ϱ4	NOUN
ejpam-4353	264	68	,	,	PUNCT
ejpam-4353	264	69	{	{	PUNCT
ejpam-4353	264	70	ω1	ω1	PROPN
ejpam-4353	264	71	,	,	PUNCT
ejpam-4353	264	72	ω3	ω3	PROPN
ejpam-4353	264	73	,	,	PUNCT
ejpam-4353	264	74	ω5	ω5	PROPN
ejpam-4353	264	75	}	}	PUNCT
ejpam-4353	264	76	,	,	PUNCT
ejpam-4353	264	77	{	{	PUNCT
ejpam-4353	264	78	ω2	ω2	ADJ
ejpam-4353	264	79	}	}	PUNCT
ejpam-4353	264	80	)	)	PUNCT
ejpam-4353	264	81	}	}	PUNCT
ejpam-4353	264	82	,	,	PUNCT
ejpam-4353	264	83	(	(	PUNCT
ejpam-4353	264	84	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	264	85	,	,	PUNCT
ejpam-4353	264	86	ς	ς	NOUN
ejpam-4353	264	87	)	)	PUNCT
ejpam-4353	264	88	=	=	PRON
ejpam-4353	264	89	{	{	PUNCT
ejpam-4353	264	90	(	(	PUNCT
ejpam-4353	264	91	ϱ3	ϱ3	PROPN
ejpam-4353	264	92	,	,	PUNCT
ejpam-4353	264	93	{	{	PUNCT
ejpam-4353	264	94	ω4	ω4	NUM
ejpam-4353	264	95	}	}	PUNCT
ejpam-4353	264	96	,	,	PUNCT
ejpam-4353	264	97	{	{	PUNCT
ejpam-4353	264	98	ω1	ω1	PROPN
ejpam-4353	264	99	,	,	PUNCT
ejpam-4353	264	100	ω2	ω2	ADJ
ejpam-4353	264	101	}	}	PUNCT
ejpam-4353	264	102	)	)	PUNCT
ejpam-4353	264	103	,	,	PUNCT
ejpam-4353	264	104	(	(	PUNCT
ejpam-4353	264	105	ϱ4	ϱ4	NOUN
ejpam-4353	264	106	,	,	PUNCT
ejpam-4353	264	107	{	{	PUNCT
ejpam-4353	264	108	ω4	ω4	NUM
ejpam-4353	264	109	}	}	PUNCT
ejpam-4353	264	110	,	,	PUNCT
ejpam-4353	264	111	{	{	PUNCT
ejpam-4353	264	112	ω1	ω1	PROPN
ejpam-4353	264	113	,	,	PUNCT
ejpam-4353	264	114	ω2	ω2	ADJ
ejpam-4353	264	115	}	}	PUNCT
ejpam-4353	264	116	)	)	PUNCT
ejpam-4353	264	117	}	}	PUNCT
ejpam-4353	264	118	,	,	PUNCT
ejpam-4353	264	119	(	(	PUNCT
ejpam-4353	264	120	(	(	PUNCT
ejpam-4353	264	121	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	264	122	,	,	PUNCT
ejpam-4353	264	123	ς	ς	NOUN
ejpam-4353	264	124	)	)	PUNCT
ejpam-4353	264	125	=	=	SYM
ejpam-4353	264	126	{	{	PUNCT
ejpam-4353	264	127	(	(	PUNCT
ejpam-4353	264	128	ϱ3	ϱ3	PROPN
ejpam-4353	264	129	,	,	PUNCT
ejpam-4353	264	130	{	{	PUNCT
ejpam-4353	264	131	ω4	ω4	NUM
ejpam-4353	264	132	}	}	PUNCT
ejpam-4353	264	133	,	,	PUNCT
ejpam-4353	264	134	{	{	PUNCT
ejpam-4353	264	135	ω2	ω2	ADJ
ejpam-4353	264	136	,	,	PUNCT
ejpam-4353	264	137	ω3	ω3	NOUN
ejpam-4353	264	138	}	}	PUNCT
ejpam-4353	264	139	)	)	PUNCT
ejpam-4353	264	140	,	,	PUNCT
ejpam-4353	264	141	(	(	PUNCT
ejpam-4353	264	142	ϱ4	ϱ4	NOUN
ejpam-4353	264	143	,	,	PUNCT
ejpam-4353	264	144	{	{	PUNCT
ejpam-4353	264	145	ω4	ω4	NUM
ejpam-4353	264	146	}	}	PUNCT
ejpam-4353	264	147	,	,	PUNCT
ejpam-4353	264	148	{	{	PUNCT
ejpam-4353	264	149	ω2	ω2	ADJ
ejpam-4353	264	150	,	,	PUNCT
ejpam-4353	264	151	ω3	ω3	NOUN
ejpam-4353	264	152	}	}	PUNCT
ejpam-4353	264	153	)	)	PUNCT
ejpam-4353	264	154	}	}	PUNCT
ejpam-4353	264	155	,	,	PUNCT
ejpam-4353	264	156	(	(	PUNCT
ejpam-4353	264	157	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	264	158	,	,	PUNCT
ejpam-4353	264	159	ς	ς	NOUN
ejpam-4353	264	160	)	)	PUNCT
ejpam-4353	264	161	=	=	SYM
ejpam-4353	264	162	{	{	PUNCT
ejpam-4353	264	163	(	(	PUNCT
ejpam-4353	264	164	ϱ3	ϱ3	PROPN
ejpam-4353	264	165	,	,	PUNCT
ejpam-4353	264	166	{	{	PUNCT
ejpam-4353	264	167	ω1	ω1	PROPN
ejpam-4353	264	168	,	,	PUNCT
ejpam-4353	264	169	ω3	ω3	PROPN
ejpam-4353	264	170	,	,	PUNCT
ejpam-4353	264	171	ω4	ω4	NUM
ejpam-4353	264	172	,	,	PUNCT
ejpam-4353	264	173	ω5	ω5	PROPN
ejpam-4353	264	174	}	}	PUNCT
ejpam-4353	264	175	,	,	PUNCT
ejpam-4353	264	176	{	{	PUNCT
ejpam-4353	264	177	ω2	ω2	ADJ
ejpam-4353	264	178	}	}	PUNCT
ejpam-4353	264	179	)	)	PUNCT
ejpam-4353	264	180	,	,	PUNCT
ejpam-4353	264	181	(	(	PUNCT
ejpam-4353	264	182	ϱ4	ϱ4	NOUN
ejpam-4353	264	183	,	,	PUNCT
ejpam-4353	264	184	{	{	PUNCT
ejpam-4353	264	185	ω1	ω1	PROPN
ejpam-4353	264	186	,	,	PUNCT
ejpam-4353	264	187	ω3	ω3	PROPN
ejpam-4353	264	188	,	,	PUNCT
ejpam-4353	264	189	ω4	ω4	NUM
ejpam-4353	264	190	,	,	PUNCT
ejpam-4353	264	191	ω5	ω5	PROPN
ejpam-4353	264	192	}	}	PUNCT
ejpam-4353	264	193	,	,	PUNCT
ejpam-4353	264	194	{	{	PUNCT
ejpam-4353	264	195	ω2	ω2	ADJ
ejpam-4353	264	196	}	}	PUNCT
ejpam-4353	264	197	)	)	PUNCT
ejpam-4353	264	198	}	}	PUNCT
ejpam-4353	264	199	and	and	CCONJ
ejpam-4353	264	200	(	(	PUNCT
ejpam-4353	264	201	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	264	202	,	,	PUNCT
ejpam-4353	264	203	ς	ς	PROPN
ejpam-4353	264	204	)	)	PUNCT
ejpam-4353	264	205	=	=	SYM
ejpam-4353	264	206	{	{	PUNCT
ejpam-4353	264	207	(	(	PUNCT
ejpam-4353	264	208	ϱ3	ϱ3	PROPN
ejpam-4353	264	209	,	,	PUNCT
ejpam-4353	264	210	{	{	PUNCT
ejpam-4353	264	211	ω4	ω4	NUM
ejpam-4353	264	212	}	}	PUNCT
ejpam-4353	264	213	,	,	PUNCT
ejpam-4353	264	214	{	{	PUNCT
ejpam-4353	264	215	ω2	ω2	ADJ
ejpam-4353	264	216	}	}	PUNCT
ejpam-4353	264	217	)	)	PUNCT
ejpam-4353	264	218	,	,	PUNCT
ejpam-4353	264	219	(	(	PUNCT
ejpam-4353	264	220	ϱ4	ϱ4	NOUN
ejpam-4353	264	221	,	,	PUNCT
ejpam-4353	264	222	{	{	PUNCT
ejpam-4353	264	223	ω4	ω4	NUM
ejpam-4353	264	224	}	}	PUNCT
ejpam-4353	264	225	,	,	PUNCT
ejpam-4353	264	226	{	{	PUNCT
ejpam-4353	264	227	ω2	ω2	ADJ
ejpam-4353	264	228	}	}	PUNCT
ejpam-4353	264	229	)	)	PUNCT
ejpam-4353	264	230	}	}	PUNCT
ejpam-4353	264	231	.	.	PUNCT
ejpam-4353	265	1	to	to	PART
ejpam-4353	265	2	show	show	VERB
ejpam-4353	265	3	the	the	DET
ejpam-4353	265	4	converse	converse	NOUN
ejpam-4353	265	5	of	of	ADP
ejpam-4353	265	6	(	(	PUNCT
ejpam-4353	265	7	v	v	NOUN
ejpam-4353	265	8	)	)	PUNCT
ejpam-4353	265	9	.	.	PUNCT
ejpam-4353	266	1	let	let	VERB
ejpam-4353	266	2	(	(	PUNCT
ejpam-4353	266	3	χ1	χ1	NOUN
ejpam-4353	266	4	,	,	PUNCT
ejpam-4353	266	5	ψ1	ψ1	NOUN
ejpam-4353	266	6	,	,	PUNCT
ejpam-4353	266	7	ς	ς	NOUN
ejpam-4353	266	8	)	)	PUNCT
ejpam-4353	266	9	=	=	SYM
ejpam-4353	266	10	{	{	PUNCT
ejpam-4353	266	11	(	(	PUNCT
ejpam-4353	266	12	ϱ3	ϱ3	PROPN
ejpam-4353	266	13	,	,	PUNCT
ejpam-4353	266	14	{	{	PUNCT
ejpam-4353	266	15	ω4	ω4	NUM
ejpam-4353	266	16	,	,	PUNCT
ejpam-4353	266	17	ω5	ω5	PROPN
ejpam-4353	266	18	}	}	PUNCT
ejpam-4353	266	19	,	,	PUNCT
ejpam-4353	266	20	{	{	PUNCT
ejpam-4353	266	21	ω1	ω1	PROPN
ejpam-4353	266	22	,	,	PUNCT
ejpam-4353	266	23	ω2	ω2	ADJ
ejpam-4353	266	24	}	}	PUNCT
ejpam-4353	266	25	)	)	PUNCT
ejpam-4353	266	26	,	,	PUNCT
ejpam-4353	266	27	(	(	PUNCT
ejpam-4353	266	28	ϱ4	ϱ4	NOUN
ejpam-4353	266	29	,	,	PUNCT
ejpam-4353	266	30	{	{	PUNCT
ejpam-4353	266	31	ω4	ω4	NUM
ejpam-4353	266	32	,	,	PUNCT
ejpam-4353	266	33	ω5	ω5	PROPN
ejpam-4353	266	34	}	}	PUNCT
ejpam-4353	266	35	,	,	PUNCT
ejpam-4353	266	36	{	{	PUNCT
ejpam-4353	266	37	ω1	ω1	PROPN
ejpam-4353	266	38	,	,	PUNCT
ejpam-4353	266	39	ω2	ω2	ADJ
ejpam-4353	266	40	}	}	PUNCT
ejpam-4353	266	41	)	)	PUNCT
ejpam-4353	266	42	}	}	PUNCT
ejpam-4353	266	43	and	and	CCONJ
ejpam-4353	266	44	(	(	PUNCT
ejpam-4353	266	45	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	266	46	,	,	PUNCT
ejpam-4353	266	47	ς	ς	NOUN
ejpam-4353	266	48	)	)	PUNCT
ejpam-4353	266	49	=	=	SYM
ejpam-4353	266	50	(	(	PUNCT
ejpam-4353	266	51	χ2	χ2	PROPN
ejpam-4353	266	52	,	,	PUNCT
ejpam-4353	266	53	ψ2	ψ2	NOUN
ejpam-4353	266	54	,	,	PUNCT
ejpam-4353	266	55	ς	ς	NOUN
ejpam-4353	266	56	)	)	PUNCT
ejpam-4353	266	57	=	=	PRON
ejpam-4353	266	58	{	{	PUNCT
ejpam-4353	266	59	(	(	PUNCT
ejpam-4353	266	60	ϱ3	ϱ3	PROPN
ejpam-4353	266	61	,	,	PUNCT
ejpam-4353	266	62	{	{	PUNCT
ejpam-4353	266	63	ω4	ω4	NUM
ejpam-4353	266	64	}	}	PUNCT
ejpam-4353	266	65	,	,	PUNCT
ejpam-4353	266	66	{	{	PUNCT
ejpam-4353	266	67	ω2	ω2	ADJ
ejpam-4353	266	68	,	,	PUNCT
ejpam-4353	266	69	ω3	ω3	NOUN
ejpam-4353	266	70	}	}	PUNCT
ejpam-4353	266	71	)	)	PUNCT
ejpam-4353	266	72	,	,	PUNCT
ejpam-4353	266	73	(	(	PUNCT
ejpam-4353	266	74	ϱ4	ϱ4	NOUN
ejpam-4353	266	75	,	,	PUNCT
ejpam-4353	266	76	{	{	PUNCT
ejpam-4353	266	77	ω4	ω4	NUM
ejpam-4353	266	78	}	}	PUNCT
ejpam-4353	266	79	,	,	PUNCT
ejpam-4353	266	80	{	{	PUNCT
ejpam-4353	266	81	ω2	ω2	ADJ
ejpam-4353	266	82	,	,	PUNCT
ejpam-4353	266	83	ω3	ω3	NOUN
ejpam-4353	266	84	}	}	PUNCT
ejpam-4353	266	85	)	)	PUNCT
ejpam-4353	266	86	}	}	PUNCT
ejpam-4353	266	87	.	.	PUNCT
ejpam-4353	267	1	so	so	ADV
ejpam-4353	267	2	,	,	PUNCT
ejpam-4353	267	3	i˜̃g(χ1	i˜̃g(χ1	NOUN
ejpam-4353	267	4	,	,	PUNCT
ejpam-4353	267	5	ψ1	ψ1	NOUN
ejpam-4353	267	6	,	,	PUNCT
ejpam-4353	267	7	ς	ς	NOUN
ejpam-4353	267	8	)	)	PUNCT
ejpam-4353	267	9	=	=	SYM
ejpam-4353	267	10	(	(	PUNCT
ejpam-4353	267	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	267	12	,	,	PUNCT
ejpam-4353	267	13	ς	ς	NOUN
ejpam-4353	267	14	)	)	PUNCT
ejpam-4353	267	15	and	and	CCONJ
ejpam-4353	267	16	i˜̃g(χ2	i˜̃g(χ2	NOUN
ejpam-4353	267	17	,	,	PUNCT
ejpam-4353	267	18	ψ2	ψ2	NOUN
ejpam-4353	267	19	,	,	PUNCT
ejpam-4353	267	20	ς	ς	NOUN
ejpam-4353	267	21	)	)	PUNCT
ejpam-4353	267	22	=	=	SYM
ejpam-4353	267	23	(	(	PUNCT
ejpam-4353	267	24	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	267	25	,	,	PUNCT
ejpam-4353	267	26	ς	ς	NOUN
ejpam-4353	267	27	)	)	PUNCT
ejpam-4353	267	28	,	,	PUNCT
ejpam-4353	267	29	hence	hence	ADV
ejpam-4353	267	30	,	,	PUNCT
ejpam-4353	267	31	i˜̃g	i˜̃g	NOUN
ejpam-4353	267	32	(	(	PUNCT
ejpam-4353	267	33	χ1	χ1	NOUN
ejpam-4353	267	34	,	,	PUNCT
ejpam-4353	267	35	ψ1	ψ1	NOUN
ejpam-4353	267	36	,	,	PUNCT
ejpam-4353	267	37	ς	ς	NOUN
ejpam-4353	267	38	)	)	PUNCT
ejpam-4353	267	39	˜̃∩	˜̃∩	ADV
ejpam-4353	267	40	i˜̃g(χ2	i˜̃g(χ2	NOUN
ejpam-4353	267	41	,	,	PUNCT
ejpam-4353	267	42	ψ2	ψ2	NOUN
ejpam-4353	267	43	,	,	PUNCT
ejpam-4353	267	44	ς	ς	NOUN
ejpam-4353	267	45	)	)	PUNCT
ejpam-4353	267	46	=	=	PRON
ejpam-4353	267	47	{	{	PUNCT
ejpam-4353	267	48	(	(	PUNCT
ejpam-4353	267	49	eϱ3	eϱ3	ADJ
ejpam-4353	267	50	,	,	PUNCT
ejpam-4353	267	51	{	{	PUNCT
ejpam-4353	267	52	ω4	ω4	NUM
ejpam-4353	267	53	}	}	PUNCT
ejpam-4353	267	54	,	,	PUNCT
ejpam-4353	267	55	{	{	PUNCT
ejpam-4353	267	56	ω1	ω1	PROPN
ejpam-4353	267	57	,	,	PUNCT
ejpam-4353	267	58	ω2	ω2	ADJ
ejpam-4353	267	59	,	,	PUNCT
ejpam-4353	267	60	ω3	ω3	NOUN
ejpam-4353	267	61	}	}	PUNCT
ejpam-4353	267	62	)	)	PUNCT
ejpam-4353	267	63	,	,	PUNCT
ejpam-4353	267	64	(	(	PUNCT
ejpam-4353	267	65	ϱ4	ϱ4	NOUN
ejpam-4353	267	66	,	,	PUNCT
ejpam-4353	267	67	{	{	PUNCT
ejpam-4353	267	68	ω4	ω4	NUM
ejpam-4353	267	69	}	}	PUNCT
ejpam-4353	267	70	,	,	PUNCT
ejpam-4353	267	71	{	{	PUNCT
ejpam-4353	267	72	ω1	ω1	PROPN
ejpam-4353	267	73	,	,	PUNCT
ejpam-4353	267	74	ω2	ω2	ADJ
ejpam-4353	267	75	,	,	PUNCT
ejpam-4353	267	76	ω3	ω3	NOUN
ejpam-4353	267	77	}	}	PUNCT
ejpam-4353	267	78	)	)	PUNCT
ejpam-4353	267	79	}	}	PUNCT
ejpam-4353	267	80	.	.	PUNCT
ejpam-4353	268	1	also	also	ADV
ejpam-4353	268	2	,	,	PUNCT
ejpam-4353	268	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	268	4	(	(	PUNCT
ejpam-4353	268	5	(	(	PUNCT
ejpam-4353	268	6	χ1	χ1	NOUN
ejpam-4353	268	7	,	,	PUNCT
ejpam-4353	268	8	ψ1	ψ1	NOUN
ejpam-4353	268	9	,	,	PUNCT
ejpam-4353	268	10	ς	ς	NOUN
ejpam-4353	268	11	)	)	PUNCT
ejpam-4353	268	12	˜̃∩(χ2	˜̃∩(χ2	NOUN
ejpam-4353	268	13	,	,	PUNCT
ejpam-4353	268	14	ψ2	ψ2	NOUN
ejpam-4353	268	15	,	,	PUNCT
ejpam-4353	268	16	ς	ς	NOUN
ejpam-4353	268	17	)	)	PUNCT
ejpam-4353	268	18	)	)	PUNCT
ejpam-4353	269	1	=	=	SYM
ejpam-4353	269	2	i˜̃g{(ϱ3	i˜̃g{(ϱ3	NOUN
ejpam-4353	269	3	,	,	PUNCT
ejpam-4353	269	4	{	{	PUNCT
ejpam-4353	269	5	ω4	ω4	NUM
ejpam-4353	269	6	}	}	PUNCT
ejpam-4353	269	7	,	,	PUNCT
ejpam-4353	269	8	{	{	PUNCT
ejpam-4353	269	9	ω1	ω1	PROPN
ejpam-4353	269	10	,	,	PUNCT
ejpam-4353	269	11	ω2	ω2	ADJ
ejpam-4353	269	12	,	,	PUNCT
ejpam-4353	269	13	ω3	ω3	NOUN
ejpam-4353	269	14	}	}	PUNCT
ejpam-4353	269	15	)	)	PUNCT
ejpam-4353	269	16	,	,	PUNCT
ejpam-4353	269	17	(	(	PUNCT
ejpam-4353	269	18	ϱ4	ϱ4	NOUN
ejpam-4353	269	19	,	,	PUNCT
ejpam-4353	269	20	{	{	PUNCT
ejpam-4353	269	21	ω4	ω4	NUM
ejpam-4353	269	22	}	}	PUNCT
ejpam-4353	269	23	,	,	PUNCT
ejpam-4353	269	24	{	{	PUNCT
ejpam-4353	269	25	ω1	ω1	PROPN
ejpam-4353	269	26	,	,	PUNCT
ejpam-4353	269	27	ω2	ω2	ADJ
ejpam-4353	269	28	,	,	PUNCT
ejpam-4353	269	29	ω3	ω3	NOUN
ejpam-4353	269	30	}	}	PUNCT
ejpam-4353	269	31	)	)	PUNCT
ejpam-4353	269	32	}	}	PUNCT
ejpam-4353	269	33	=	=	SYM
ejpam-4353	269	34	(	(	PUNCT
ejpam-4353	269	35	φ	φ	PROPN
ejpam-4353	269	36	,	,	PUNCT
ejpam-4353	269	37	˜̃	˜̃	NOUN
ejpam-4353	269	38	ω	ω	PROPN
ejpam-4353	269	39	,	,	PUNCT
ejpam-4353	269	40	ς	ς	PROPN
ejpam-4353	269	41	)	)	PUNCT
ejpam-4353	269	42	.	.	PUNCT
ejpam-4353	270	1	therefore	therefore	ADV
ejpam-4353	270	2	,	,	PUNCT
ejpam-4353	270	3	i˜̃g(χ1	i˜̃g(χ1	NOUN
ejpam-4353	270	4	,	,	PUNCT
ejpam-4353	270	5	ψ1	ψ1	NOUN
ejpam-4353	270	6	,	,	PUNCT
ejpam-4353	270	7	ς	ς	NOUN
ejpam-4353	270	8	)	)	PUNCT
ejpam-4353	270	9	˜̃∩	˜̃∩	ADV
ejpam-4353	270	10	i˜̃g	i˜̃g	NOUN
ejpam-4353	270	11	(	(	PUNCT
ejpam-4353	270	12	χ2	χ2	PROPN
ejpam-4353	270	13	,	,	PUNCT
ejpam-4353	270	14	ψ2	ψ2	NOUN
ejpam-4353	270	15	,	,	PUNCT
ejpam-4353	270	16	ς	ς	NOUN
ejpam-4353	270	17	)	)	PUNCT
ejpam-4353	270	18	̸=	̸=	PROPN
ejpam-4353	270	19	i˜̃g	i˜̃g	NOUN
ejpam-4353	270	20	(	(	PUNCT
ejpam-4353	270	21	(	(	PUNCT
ejpam-4353	270	22	χ1	χ1	NOUN
ejpam-4353	270	23	,	,	PUNCT
ejpam-4353	270	24	ψ1	ψ1	NOUN
ejpam-4353	270	25	,	,	PUNCT
ejpam-4353	270	26	ς	ς	NOUN
ejpam-4353	270	27	)	)	PUNCT
ejpam-4353	270	28	˜̃∩	˜̃∩	ADV
ejpam-4353	270	29	(	(	PUNCT
ejpam-4353	270	30	χ2	χ2	PROPN
ejpam-4353	270	31	,	,	PUNCT
ejpam-4353	270	32	ψ2	ψ2	NOUN
ejpam-4353	270	33	,	,	PUNCT
ejpam-4353	270	34	ς	ς	NOUN
ejpam-4353	270	35	)	)	PUNCT
ejpam-4353	270	36	)	)	PUNCT
ejpam-4353	270	37	.	.	PUNCT
ejpam-4353	271	1	h.	h.	PROPN
ejpam-4353	271	2	y.	y.	PROPN
ejpam-4353	271	3	saleh	saleh	PROPN
ejpam-4353	271	4	,	,	PUNCT
ejpam-4353	271	5	b.	b.	PROPN
ejpam-4353	271	6	a.	a.	PROPN
ejpam-4353	271	7	asaad	asaad	PROPN
ejpam-4353	271	8	,	,	PUNCT
ejpam-4353	271	9	r.	r.	PROPN
ejpam-4353	271	10	a.	a.	PROPN
ejpam-4353	271	11	mohammed	mohammed	PROPN
ejpam-4353	271	12	/	/	SYM
ejpam-4353	271	13	eur	eur	PROPN
ejpam-4353	271	14	.	.	PUNCT
ejpam-4353	272	1	j.	j.	PROPN
ejpam-4353	272	2	pure	pure	PROPN
ejpam-4353	272	3	appl	appl	PROPN
ejpam-4353	272	4	.	.	PROPN
ejpam-4353	272	5	math	math	PROPN
ejpam-4353	272	6	,	,	PUNCT
ejpam-4353	272	7	15	15	NUM
ejpam-4353	272	8	(	(	PUNCT
ejpam-4353	272	9	2	2	NUM
ejpam-4353	272	10	)	)	PUNCT
ejpam-4353	272	11	(	(	PUNCT
ejpam-4353	272	12	2022	2022	NUM
ejpam-4353	272	13	)	)	PUNCT
ejpam-4353	272	14	,	,	PUNCT
ejpam-4353	272	15	646	646	NUM
ejpam-4353	272	16	-	-	SYM
ejpam-4353	272	17	671	671	NUM
ejpam-4353	272	18	657	657	NUM
ejpam-4353	272	19	now	now	ADV
ejpam-4353	272	20	,	,	PUNCT
ejpam-4353	272	21	to	to	PART
ejpam-4353	272	22	show	show	VERB
ejpam-4353	272	23	the	the	DET
ejpam-4353	272	24	converse	converse	NOUN
ejpam-4353	272	25	of	of	ADP
ejpam-4353	272	26	(	(	PUNCT
ejpam-4353	272	27	vi	vi	NOUN
ejpam-4353	272	28	)	)	PUNCT
ejpam-4353	272	29	.	.	PUNCT
ejpam-4353	273	1	let	let	VERB
ejpam-4353	273	2	(	(	PUNCT
ejpam-4353	273	3	χ1	χ1	NOUN
ejpam-4353	273	4	,	,	PUNCT
ejpam-4353	273	5	ψ1	ψ1	NOUN
ejpam-4353	273	6	,	,	PUNCT
ejpam-4353	273	7	ς	ς	NOUN
ejpam-4353	273	8	)	)	PUNCT
ejpam-4353	273	9	=	=	SYM
ejpam-4353	273	10	{	{	PUNCT
ejpam-4353	273	11	(	(	PUNCT
ejpam-4353	273	12	ϱ3	ϱ3	PROPN
ejpam-4353	273	13	,	,	PUNCT
ejpam-4353	273	14	{	{	PUNCT
ejpam-4353	273	15	ω1	ω1	PROPN
ejpam-4353	273	16	,	,	PUNCT
ejpam-4353	273	17	ω3	ω3	PROPN
ejpam-4353	273	18	}	}	PUNCT
ejpam-4353	273	19	,	,	PUNCT
ejpam-4353	273	20	{	{	PUNCT
ejpam-4353	273	21	ω2	ω2	ADJ
ejpam-4353	273	22	}	}	PUNCT
ejpam-4353	273	23	)	)	PUNCT
ejpam-4353	273	24	,	,	PUNCT
ejpam-4353	273	25	(	(	PUNCT
ejpam-4353	273	26	ϱ4	ϱ4	NOUN
ejpam-4353	273	27	,	,	PUNCT
ejpam-4353	273	28	{	{	PUNCT
ejpam-4353	273	29	ω1	ω1	PROPN
ejpam-4353	273	30	,	,	PUNCT
ejpam-4353	273	31	ω3	ω3	PROPN
ejpam-4353	273	32	}	}	PUNCT
ejpam-4353	273	33	,	,	PUNCT
ejpam-4353	273	34	{	{	PUNCT
ejpam-4353	273	35	ω2	ω2	ADJ
ejpam-4353	273	36	}	}	PUNCT
ejpam-4353	273	37	)	)	PUNCT
ejpam-4353	273	38	}	}	PUNCT
ejpam-4353	273	39	and	and	CCONJ
ejpam-4353	273	40	(	(	PUNCT
ejpam-4353	273	41	χ2	χ2	PROPN
ejpam-4353	273	42	,	,	PUNCT
ejpam-4353	273	43	ψ2	ψ2	NOUN
ejpam-4353	273	44	,	,	PUNCT
ejpam-4353	273	45	ς	ς	NOUN
ejpam-4353	273	46	)	)	PUNCT
ejpam-4353	273	47	=	=	PRON
ejpam-4353	273	48	{	{	PUNCT
ejpam-4353	273	49	(	(	PUNCT
ejpam-4353	273	50	e3	e3	NOUN
ejpam-4353	273	51	,	,	PUNCT
ejpam-4353	273	52	{	{	PUNCT
ejpam-4353	273	53	ω4	ω4	NUM
ejpam-4353	273	54	,	,	PUNCT
ejpam-4353	273	55	ω5	ω5	PROPN
ejpam-4353	273	56	}	}	PUNCT
ejpam-4353	273	57	,	,	PUNCT
ejpam-4353	273	58	{	{	PUNCT
ejpam-4353	273	59	ω1	ω1	PROPN
ejpam-4353	273	60	,	,	PUNCT
ejpam-4353	273	61	ω2	ω2	ADJ
ejpam-4353	273	62	,	,	PUNCT
ejpam-4353	273	63	ω3	ω3	NOUN
ejpam-4353	273	64	}	}	PUNCT
ejpam-4353	273	65	)	)	PUNCT
ejpam-4353	273	66	,	,	PUNCT
ejpam-4353	273	67	(	(	PUNCT
ejpam-4353	273	68	ϱ4	ϱ4	NOUN
ejpam-4353	273	69	,	,	PUNCT
ejpam-4353	273	70	{	{	PUNCT
ejpam-4353	273	71	ω4	ω4	NUM
ejpam-4353	273	72	,	,	PUNCT
ejpam-4353	273	73	ω5	ω5	PROPN
ejpam-4353	273	74	}	}	PUNCT
ejpam-4353	273	75	,	,	PUNCT
ejpam-4353	273	76	{	{	PUNCT
ejpam-4353	273	77	ω1	ω1	PROPN
ejpam-4353	273	78	,	,	PUNCT
ejpam-4353	273	79	ω2	ω2	ADJ
ejpam-4353	273	80	,	,	PUNCT
ejpam-4353	273	81	ω3	ω3	NOUN
ejpam-4353	273	82	}	}	PUNCT
ejpam-4353	273	83	)	)	PUNCT
ejpam-4353	273	84	}	}	PUNCT
ejpam-4353	273	85	.	.	PUNCT
ejpam-4353	274	1	then	then	ADV
ejpam-4353	274	2	i˜̃g(χ1	i˜̃g(χ1	NOUN
ejpam-4353	274	3	,	,	PUNCT
ejpam-4353	274	4	ψ1	ψ1	NOUN
ejpam-4353	274	5	,	,	PUNCT
ejpam-4353	274	6	ς	ς	NOUN
ejpam-4353	274	7	)	)	PUNCT
ejpam-4353	274	8	=	=	SYM
ejpam-4353	274	9	(	(	PUNCT
ejpam-4353	274	10	φ	φ	PROPN
ejpam-4353	274	11	,	,	PUNCT
ejpam-4353	274	12	˜̃	˜̃	NOUN
ejpam-4353	274	13	ω	ω	PROPN
ejpam-4353	274	14	,	,	PUNCT
ejpam-4353	274	15	ς	ς	NOUN
ejpam-4353	274	16	)	)	PUNCT
ejpam-4353	274	17	and	and	CCONJ
ejpam-4353	274	18	i˜̃g(χ2	i˜̃g(χ2	NOUN
ejpam-4353	274	19	,	,	PUNCT
ejpam-4353	274	20	ψ2	ψ2	NOUN
ejpam-4353	274	21	,	,	PUNCT
ejpam-4353	274	22	ς	ς	NOUN
ejpam-4353	274	23	)	)	PUNCT
ejpam-4353	275	1	=	=	SYM
ejpam-4353	275	2	(	(	PUNCT
ejpam-4353	275	3	φ	φ	PROPN
ejpam-4353	275	4	,	,	PUNCT
ejpam-4353	275	5	˜̃	˜̃	NOUN
ejpam-4353	275	6	ω	ω	PROPN
ejpam-4353	275	7	,	,	PUNCT
ejpam-4353	275	8	ς	ς	PROPN
ejpam-4353	275	9	)	)	PUNCT
ejpam-4353	275	10	.	.	PUNCT
ejpam-4353	276	1	hence	hence	ADV
ejpam-4353	276	2	,	,	PUNCT
ejpam-4353	276	3	i˜̃g(χ1	i˜̃g(χ1	NOUN
ejpam-4353	276	4	,	,	PUNCT
ejpam-4353	276	5	ψ1	ψ1	NOUN
ejpam-4353	276	6	,	,	PUNCT
ejpam-4353	276	7	ς	ς	NOUN
ejpam-4353	276	8	)	)	PUNCT
ejpam-4353	276	9	˜̃∪	˜̃∪	PROPN
ejpam-4353	276	10	i˜̃g(χ2	i˜̃g(χ2	NOUN
ejpam-4353	276	11	,	,	PUNCT
ejpam-4353	276	12	ψ2	ψ2	NOUN
ejpam-4353	276	13	,	,	PUNCT
ejpam-4353	276	14	ς	ς	NOUN
ejpam-4353	276	15	)	)	PUNCT
ejpam-4353	276	16	=	=	SYM
ejpam-4353	276	17	(	(	PUNCT
ejpam-4353	276	18	φ	φ	PROPN
ejpam-4353	276	19	,	,	PUNCT
ejpam-4353	276	20	˜̃	˜̃	NOUN
ejpam-4353	276	21	ω	ω	PROPN
ejpam-4353	276	22	,	,	PUNCT
ejpam-4353	276	23	ς	ς	PROPN
ejpam-4353	276	24	)	)	PUNCT
ejpam-4353	276	25	.	.	PUNCT
ejpam-4353	277	1	but	but	CCONJ
ejpam-4353	277	2	(	(	PUNCT
ejpam-4353	277	3	χ1	χ1	NOUN
ejpam-4353	277	4	,	,	PUNCT
ejpam-4353	277	5	ψ1	ψ1	NOUN
ejpam-4353	277	6	,	,	PUNCT
ejpam-4353	277	7	ς	ς	NOUN
ejpam-4353	277	8	)	)	PUNCT
ejpam-4353	277	9	˜̃∪(χ2	˜̃∪(χ2	NOUN
ejpam-4353	277	10	,	,	PUNCT
ejpam-4353	277	11	ψ2	ψ2	NOUN
ejpam-4353	277	12	,	,	PUNCT
ejpam-4353	277	13	ς	ς	NOUN
ejpam-4353	277	14	)	)	PUNCT
ejpam-4353	277	15	=	=	PRON
ejpam-4353	277	16	{	{	PUNCT
ejpam-4353	277	17	(	(	PUNCT
ejpam-4353	277	18	ϱ3	ϱ3	PROPN
ejpam-4353	277	19	,	,	PUNCT
ejpam-4353	277	20	{	{	PUNCT
ejpam-4353	277	21	ω1	ω1	PROPN
ejpam-4353	277	22	,	,	PUNCT
ejpam-4353	277	23	ω3	ω3	PROPN
ejpam-4353	277	24	,	,	PUNCT
ejpam-4353	277	25	ω4	ω4	NUM
ejpam-4353	277	26	,	,	PUNCT
ejpam-4353	277	27	ω5	ω5	PROPN
ejpam-4353	277	28	}	}	PUNCT
ejpam-4353	277	29	,	,	PUNCT
ejpam-4353	277	30	{	{	PUNCT
ejpam-4353	277	31	ω2	ω2	ADJ
ejpam-4353	277	32	}	}	PUNCT
ejpam-4353	277	33	)	)	PUNCT
ejpam-4353	277	34	,	,	PUNCT
ejpam-4353	277	35	(	(	PUNCT
ejpam-4353	277	36	ϱ4	ϱ4	NOUN
ejpam-4353	277	37	,	,	PUNCT
ejpam-4353	277	38	{	{	PUNCT
ejpam-4353	277	39	ω1	ω1	PROPN
ejpam-4353	277	40	,	,	PUNCT
ejpam-4353	277	41	ω3	ω3	PROPN
ejpam-4353	277	42	,	,	PUNCT
ejpam-4353	277	43	ω4	ω4	NUM
ejpam-4353	277	44	,	,	PUNCT
ejpam-4353	277	45	ω5	ω5	PROPN
ejpam-4353	277	46	}	}	PUNCT
ejpam-4353	277	47	,	,	PUNCT
ejpam-4353	277	48	{	{	PUNCT
ejpam-4353	277	49	ω2	ω2	ADJ
ejpam-4353	277	50	}	}	PUNCT
ejpam-4353	277	51	)	)	PUNCT
ejpam-4353	277	52	}	}	PUNCT
ejpam-4353	277	53	.	.	PUNCT
ejpam-4353	278	1	while	while	SCONJ
ejpam-4353	278	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	278	3	(	(	PUNCT
ejpam-4353	278	4	(	(	PUNCT
ejpam-4353	278	5	χ1	χ1	NOUN
ejpam-4353	278	6	,	,	PUNCT
ejpam-4353	278	7	ψ1	ψ1	NOUN
ejpam-4353	278	8	,	,	PUNCT
ejpam-4353	278	9	ς	ς	NOUN
ejpam-4353	278	10	)	)	PUNCT
ejpam-4353	278	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	278	12	(	(	PUNCT
ejpam-4353	278	13	χ2	χ2	PROPN
ejpam-4353	278	14	,	,	PUNCT
ejpam-4353	278	15	ψ2	ψ2	NOUN
ejpam-4353	278	16	,	,	PUNCT
ejpam-4353	278	17	ς	ς	NOUN
ejpam-4353	278	18	)	)	PUNCT
ejpam-4353	278	19	)	)	PUNCT
ejpam-4353	279	1	=	=	SYM
ejpam-4353	279	2	(	(	PUNCT
ejpam-4353	279	3	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	279	4	,	,	PUNCT
ejpam-4353	279	5	ς	ς	NOUN
ejpam-4353	279	6	)	)	PUNCT
ejpam-4353	279	7	.	.	PUNCT
ejpam-4353	280	1	so	so	ADV
ejpam-4353	280	2	,	,	PUNCT
ejpam-4353	280	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	280	4	(	(	PUNCT
ejpam-4353	280	5	(	(	PUNCT
ejpam-4353	280	6	χ1	χ1	NOUN
ejpam-4353	280	7	,	,	PUNCT
ejpam-4353	280	8	ψ1	ψ1	NOUN
ejpam-4353	280	9	,	,	PUNCT
ejpam-4353	280	10	ς	ς	NOUN
ejpam-4353	280	11	)	)	PUNCT
ejpam-4353	280	12	˜̃∪	˜̃∪	PROPN
ejpam-4353	280	13	(	(	PUNCT
ejpam-4353	280	14	χ2	χ2	PROPN
ejpam-4353	280	15	,	,	PUNCT
ejpam-4353	280	16	ψ2	ψ2	NOUN
ejpam-4353	280	17	,	,	PUNCT
ejpam-4353	280	18	ς	ς	NOUN
ejpam-4353	280	19	)	)	PUNCT
ejpam-4353	280	20	)	)	PUNCT
ejpam-4353	281	1	̸=	̸=	PROPN
ejpam-4353	281	2	i˜̃g(χ1	i˜̃g(χ1	NOUN
ejpam-4353	281	3	,	,	PUNCT
ejpam-4353	281	4	ψ1	ψ1	NOUN
ejpam-4353	281	5	,	,	PUNCT
ejpam-4353	281	6	ς	ς	NOUN
ejpam-4353	281	7	)	)	PUNCT
ejpam-4353	281	8	˜̃∪	˜̃∪	PROPN
ejpam-4353	281	9	i˜̃g(χ2	i˜̃g(χ2	NOUN
ejpam-4353	281	10	,	,	PUNCT
ejpam-4353	281	11	ψ2	ψ2	NOUN
ejpam-4353	281	12	,	,	PUNCT
ejpam-4353	281	13	ς	ς	NOUN
ejpam-4353	281	14	)	)	PUNCT
ejpam-4353	281	15	.	.	PUNCT
ejpam-4353	282	1	definition	definition	NOUN
ejpam-4353	282	2	20	20	NUM
ejpam-4353	282	3	.	.	PUNCT
ejpam-4353	283	1	let	let	VERB
ejpam-4353	283	2	(	(	PUNCT
ejpam-4353	283	3	ω	ω	NOUN
ejpam-4353	283	4	,	,	PUNCT
ejpam-4353	283	5	˜̃g	˜̃g	PROPN
ejpam-4353	283	6	,	,	PUNCT
ejpam-4353	283	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	283	8	)	)	PUNCT
ejpam-4353	283	9	be	be	VERB
ejpam-4353	283	10	a	a	DET
ejpam-4353	283	11	bsgt	bsgt	NOUN
ejpam-4353	283	12	s	s	PRON
ejpam-4353	283	13	and	and	CCONJ
ejpam-4353	283	14	(	(	PUNCT
ejpam-4353	283	15	θ	θ	PROPN
ejpam-4353	283	16	,	,	PUNCT
ejpam-4353	283	17	λ	λ	PROPN
ejpam-4353	283	18	,	,	PUNCT
ejpam-4353	283	19	ς	ς	PROPN
ejpam-4353	283	20	)	)	PUNCT
ejpam-4353	283	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	283	22	bss(ω	bss(ω	PROPN
ejpam-4353	283	23	)	)	PUNCT
ejpam-4353	283	24	.	.	PUNCT
ejpam-4353	284	1	then	then	ADV
ejpam-4353	284	2	(	(	PUNCT
ejpam-4353	284	3	θ	θ	NOUN
ejpam-4353	284	4	,	,	PUNCT
ejpam-4353	284	5	λ	λ	PROPN
ejpam-4353	284	6	,	,	PUNCT
ejpam-4353	284	7	ς	ς	NOUN
ejpam-4353	284	8	)	)	PUNCT
ejpam-4353	284	9	is	be	AUX
ejpam-4353	284	10	said	say	VERB
ejpam-4353	284	11	to	to	PART
ejpam-4353	284	12	be	be	AUX
ejpam-4353	284	13	bipolar	bipolar	ADJ
ejpam-4353	284	14	soft	soft	ADJ
ejpam-4353	284	15	˜̃g	˜̃g	NOUN
ejpam-4353	284	16	-	-	PUNCT
ejpam-4353	284	17	closed	closed	ADJ
ejpam-4353	284	18	if	if	SCONJ
ejpam-4353	284	19	its	its	PRON
ejpam-4353	284	20	bipolar	bipolar	ADJ
ejpam-4353	284	21	soft	soft	ADJ
ejpam-4353	284	22	complement	complement	NOUN
ejpam-4353	284	23	(	(	PUNCT
ejpam-4353	284	24	θ	θ	NOUN
ejpam-4353	284	25	,	,	PUNCT
ejpam-4353	284	26	λ	λ	PROPN
ejpam-4353	284	27	,	,	PUNCT
ejpam-4353	284	28	ς)c	ς)c	NOUN
ejpam-4353	284	29	is	be	AUX
ejpam-4353	284	30	bipolar	bipolar	ADJ
ejpam-4353	284	31	soft˜̃g	soft˜̃g	NOUN
ejpam-4353	284	32	-	-	PUNCT
ejpam-4353	284	33	open	open	ADJ
ejpam-4353	284	34	.	.	PUNCT
ejpam-4353	285	1	theorem	theorem	ADJ
ejpam-4353	285	2	6	6	NUM
ejpam-4353	285	3	.	.	PUNCT
ejpam-4353	286	1	let	let	AUX
ejpam-4353	286	2	(	(	PUNCT
ejpam-4353	286	3	ω	ω	NOUN
ejpam-4353	286	4	,	,	PUNCT
ejpam-4353	286	5	˜̃g	˜̃g	PROPN
ejpam-4353	286	6	,	,	PUNCT
ejpam-4353	286	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	286	8	)	)	PUNCT
ejpam-4353	286	9	be	be	VERB
ejpam-4353	286	10	a	a	DET
ejpam-4353	286	11	bsgt	bsgt	NOUN
ejpam-4353	286	12	s	s	PRON
ejpam-4353	286	13	,	,	PUNCT
ejpam-4353	286	14	then	then	ADV
ejpam-4353	286	15	¬g̃	¬g̃	PROPN
ejpam-4353	286	16	=	=	SYM
ejpam-4353	286	17	{	{	PUNCT
ejpam-4353	286	18	(	(	PUNCT
ejpam-4353	286	19	λ,¬ς	λ,¬ς	NUM
ejpam-4353	286	20	)	)	PUNCT
ejpam-4353	286	21	:	:	PUNCT
ejpam-4353	286	22	(	(	PUNCT
ejpam-4353	286	23	θ	θ	NOUN
ejpam-4353	286	24	,	,	PUNCT
ejpam-4353	286	25	λ	λ	PROPN
ejpam-4353	286	26	,	,	PUNCT
ejpam-4353	286	27	ς	ς	NOUN
ejpam-4353	286	28	)	)	PUNCT
ejpam-4353	286	29	˜̃∈	˜̃∈	PROPN
ejpam-4353	286	30	˜̃g	˜̃g	PROPN
ejpam-4353	286	31	}	}	PUNCT
ejpam-4353	286	32	is	be	AUX
ejpam-4353	286	33	sgt	sgt	PROPN
ejpam-4353	286	34	in	in	ADP
ejpam-4353	286	35	terms	term	NOUN
ejpam-4353	286	36	of	of	ADP
ejpam-4353	286	37	soft	soft	ADJ
ejpam-4353	286	38	g̃-closed	g̃-close	VERB
ejpam-4353	286	39	.	.	PUNCT
ejpam-4353	287	1	proof	proof	NOUN
ejpam-4353	287	2	.	.	PUNCT
ejpam-4353	288	1	similar	similar	ADJ
ejpam-4353	288	2	to	to	ADP
ejpam-4353	288	3	theorem	theorem	NOUN
ejpam-4353	288	4	1	1	NUM
ejpam-4353	288	5	.	.	PUNCT
ejpam-4353	288	6	theorem	theorem	NOUN
ejpam-4353	288	7	7	7	NUM
ejpam-4353	288	8	.	.	PUNCT
ejpam-4353	289	1	let	let	AUX
ejpam-4353	289	2	(	(	PUNCT
ejpam-4353	289	3	ω	ω	NOUN
ejpam-4353	289	4	,	,	PUNCT
ejpam-4353	289	5	˜̃g	˜̃g	PROPN
ejpam-4353	289	6	,	,	PUNCT
ejpam-4353	289	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	289	8	)	)	PUNCT
ejpam-4353	289	9	be	be	VERB
ejpam-4353	289	10	a	a	DET
ejpam-4353	289	11	bsgt	bsgt	NOUN
ejpam-4353	289	12	s	s	PRON
ejpam-4353	289	13	.	.	PUNCT
ejpam-4353	290	1	then	then	ADV
ejpam-4353	290	2	the	the	DET
ejpam-4353	290	3	following	follow	VERB
ejpam-4353	290	4	properties	property	NOUN
ejpam-4353	290	5	hold	hold	VERB
ejpam-4353	290	6	(	(	PUNCT
ejpam-4353	290	7	i	i	NOUN
ejpam-4353	290	8	)	)	PUNCT
ejpam-4353	290	9	(	(	PUNCT
ejpam-4353	290	10	˜̃	˜̃	NOUN
ejpam-4353	290	11	ω	ω	PROPN
ejpam-4353	290	12	,	,	PUNCT
ejpam-4353	290	13	φ	φ	PROPN
ejpam-4353	290	14	,	,	PUNCT
ejpam-4353	290	15	ς	ς	NOUN
ejpam-4353	290	16	)	)	PUNCT
ejpam-4353	290	17	is	be	AUX
ejpam-4353	290	18	bipolar	bipolar	ADJ
ejpam-4353	290	19	soft	soft	ADJ
ejpam-4353	290	20	˜̃g	˜̃g	NOUN
ejpam-4353	290	21	-	-	PUNCT
ejpam-4353	290	22	closed	closed	ADJ
ejpam-4353	290	23	.	.	PUNCT
ejpam-4353	291	1	(	(	PUNCT
ejpam-4353	291	2	ii	ii	NOUN
ejpam-4353	291	3	)	)	PUNCT
ejpam-4353	291	4	arbitrary	arbitrary	ADJ
ejpam-4353	291	5	bipolar	bipolar	ADJ
ejpam-4353	291	6	soft	soft	ADJ
ejpam-4353	291	7	intersections	intersection	NOUN
ejpam-4353	291	8	of	of	ADP
ejpam-4353	291	9	the	the	DET
ejpam-4353	291	10	bipolar	bipolar	ADJ
ejpam-4353	291	11	soft	soft	ADJ
ejpam-4353	291	12	˜̃g	˜̃g	NOUN
ejpam-4353	291	13	-	-	PUNCT
ejpam-4353	291	14	closed	close	VERB
ejpam-4353	291	15	sets	set	NOUN
ejpam-4353	291	16	are	be	AUX
ejpam-4353	291	17	bipolar	bipolar	ADJ
ejpam-4353	291	18	soft˜̃g	soft˜̃g	NOUN
ejpam-4353	291	19	-	-	PUNCT
ejpam-4353	291	20	closed	closed	ADJ
ejpam-4353	291	21	.	.	PUNCT
ejpam-4353	292	1	proof	proof	NOUN
ejpam-4353	292	2	.	.	PUNCT
ejpam-4353	293	1	(	(	PUNCT
ejpam-4353	293	2	i	i	NOUN
ejpam-4353	293	3	)	)	PUNCT
ejpam-4353	293	4	since	since	SCONJ
ejpam-4353	293	5	the	the	DET
ejpam-4353	293	6	complement	complement	NOUN
ejpam-4353	293	7	of	of	ADP
ejpam-4353	293	8	the	the	DET
ejpam-4353	293	9	absolute	absolute	ADJ
ejpam-4353	293	10	bipolar	bipolar	ADJ
ejpam-4353	293	11	soft	soft	ADJ
ejpam-4353	293	12	set	set	NOUN
ejpam-4353	293	13	(	(	PUNCT
ejpam-4353	293	14	˜̃	˜̃	NOUN
ejpam-4353	293	15	ω	ω	PROPN
ejpam-4353	293	16	,	,	PUNCT
ejpam-4353	293	17	φ	φ	PROPN
ejpam-4353	293	18	,	,	PUNCT
ejpam-4353	293	19	ς	ς	NOUN
ejpam-4353	293	20	)	)	PUNCT
ejpam-4353	293	21	is	be	AUX
ejpam-4353	293	22	the	the	DET
ejpam-4353	293	23	relative	relative	ADJ
ejpam-4353	293	24	null	null	ADJ
ejpam-4353	293	25	bipolar	bipolar	ADJ
ejpam-4353	293	26	soft	soft	ADJ
ejpam-4353	293	27	set	set	NOUN
ejpam-4353	293	28	(	(	PUNCT
ejpam-4353	293	29	φ	φ	PROPN
ejpam-4353	293	30	,	,	PUNCT
ejpam-4353	293	31	˜̃	˜̃	NOUN
ejpam-4353	293	32	ω	ω	PROPN
ejpam-4353	293	33	,	,	PUNCT
ejpam-4353	293	34	ς	ς	PROPN
ejpam-4353	293	35	)	)	PUNCT
ejpam-4353	293	36	,	,	PUNCT
ejpam-4353	293	37	and	and	CCONJ
ejpam-4353	293	38	(	(	PUNCT
ejpam-4353	293	39	φ	φ	PROPN
ejpam-4353	293	40	,	,	PUNCT
ejpam-4353	293	41	˜̃	˜̃	NOUN
ejpam-4353	293	42	ω	ω	NOUN
ejpam-4353	293	43	,	,	PUNCT
ejpam-4353	293	44	ς)˜̃∈	ς)˜̃∈	NOUN
ejpam-4353	293	45	˜̃g	˜̃g	PROPN
ejpam-4353	293	46	.	.	PUNCT
ejpam-4353	294	1	thus	thus	ADV
ejpam-4353	294	2	,	,	PUNCT
ejpam-4353	294	3	(	(	PUNCT
ejpam-4353	294	4	˜̃ω	˜̃ω	PROPN
ejpam-4353	294	5	,	,	PUNCT
ejpam-4353	294	6	φ	φ	PROPN
ejpam-4353	294	7	,	,	PUNCT
ejpam-4353	294	8	ς	ς	NOUN
ejpam-4353	294	9	)	)	PUNCT
ejpam-4353	294	10	is	be	AUX
ejpam-4353	294	11	bipolar	bipolar	ADJ
ejpam-4353	294	12	soft	soft	ADJ
ejpam-4353	294	13	˜̃g	˜̃g	NOUN
ejpam-4353	294	14	-	-	PUNCT
ejpam-4353	294	15	closed	closed	ADJ
ejpam-4353	294	16	.	.	PUNCT
ejpam-4353	295	1	(	(	PUNCT
ejpam-4353	295	2	ii	ii	NOUN
ejpam-4353	295	3	)	)	PUNCT
ejpam-4353	295	4	let	let	AUX
ejpam-4353	295	5	{	{	PUNCT
ejpam-4353	295	6	(	(	PUNCT
ejpam-4353	295	7	θi	θi	X
ejpam-4353	295	8	,	,	PUNCT
ejpam-4353	295	9	λi	λi	NOUN
ejpam-4353	295	10	,	,	PUNCT
ejpam-4353	295	11	ς)}i∈i	ς)}i∈i	NOUN
ejpam-4353	295	12	be	be	AUX
ejpam-4353	295	13	a	a	DET
ejpam-4353	295	14	given	give	VERB
ejpam-4353	295	15	collection	collection	NOUN
ejpam-4353	295	16	of	of	ADP
ejpam-4353	295	17	bipolar	bipolar	ADJ
ejpam-4353	295	18	soft	soft	ADJ
ejpam-4353	295	19	˜̃g	˜̃g	NOUN
ejpam-4353	295	20	-	-	PUNCT
ejpam-4353	295	21	closed	close	VERB
ejpam-4353	295	22	sets	set	NOUN
ejpam-4353	295	23	.	.	PUNCT
ejpam-4353	296	1	to	to	ADP
ejpam-4353	296	2	show˜̃⋂	show˜̃⋂	PROPN
ejpam-4353	296	3	i∈i	i∈i	ADJ
ejpam-4353	296	4	(	(	PUNCT
ejpam-4353	296	5	θi	θi	X
ejpam-4353	296	6	,	,	PUNCT
ejpam-4353	296	7	λi	λi	NOUN
ejpam-4353	296	8	,	,	PUNCT
ejpam-4353	296	9	ς	ς	NOUN
ejpam-4353	296	10	)	)	PUNCT
ejpam-4353	296	11	is	be	AUX
ejpam-4353	296	12	bipolar	bipolar	ADJ
ejpam-4353	296	13	soft	soft	ADJ
ejpam-4353	296	14	˜̃g	˜̃g	NOUN
ejpam-4353	296	15	-	-	PUNCT
ejpam-4353	296	16	closed	closed	ADJ
ejpam-4353	296	17	.	.	PUNCT
ejpam-4353	297	1	now	now	ADV
ejpam-4353	297	2	(	(	PUNCT
ejpam-4353	297	3	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	297	4	i∈i	i∈i	ADJ
ejpam-4353	297	5	(	(	PUNCT
ejpam-4353	297	6	(	(	PUNCT
ejpam-4353	297	7	θi	θi	X
ejpam-4353	297	8	,	,	PUNCT
ejpam-4353	297	9	λi	λi	NOUN
ejpam-4353	297	10	,	,	PUNCT
ejpam-4353	297	11	ς	ς	NOUN
ejpam-4353	297	12	)	)	PUNCT
ejpam-4353	297	13	)	)	PUNCT
ejpam-4353	298	1	c	c	NOUN
ejpam-4353	298	2	=	=	PUNCT
ejpam-4353	298	3	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	298	4	i∈i	i∈i	ADJ
ejpam-4353	298	5	(	(	PUNCT
ejpam-4353	298	6	θi	θi	PROPN
ejpam-4353	298	7	,	,	PUNCT
ejpam-4353	298	8	λi	λi	NOUN
ejpam-4353	298	9	,	,	PUNCT
ejpam-4353	298	10	ς	ς	PROPN
ejpam-4353	298	11	)	)	PUNCT
ejpam-4353	298	12	c.	c.	NOUN
ejpam-4353	298	13	since	since	SCONJ
ejpam-4353	298	14	(	(	PUNCT
ejpam-4353	298	15	θi	θi	X
ejpam-4353	298	16	,	,	PUNCT
ejpam-4353	298	17	λi	λi	NOUN
ejpam-4353	298	18	,	,	PUNCT
ejpam-4353	298	19	ς	ς	NOUN
ejpam-4353	298	20	)	)	PUNCT
ejpam-4353	298	21	is	be	AUX
ejpam-4353	298	22	a	a	DET
ejpam-4353	298	23	bipolar	bipolar	ADJ
ejpam-4353	298	24	soft	soft	ADJ
ejpam-4353	298	25	˜̃g	˜̃g	NOUN
ejpam-4353	298	26	-	-	PUNCT
ejpam-4353	298	27	closed	close	VERB
ejpam-4353	298	28	for	for	ADP
ejpam-4353	299	1	each	each	DET
ejpam-4353	299	2	i	i	PROPN
ejpam-4353	299	3	∈	∈	PROPN
ejpam-4353	299	4	i.	i.	NOUN
ejpam-4353	300	1	so	so	ADV
ejpam-4353	300	2	(	(	PUNCT
ejpam-4353	300	3	θi	θi	X
ejpam-4353	300	4	,	,	PUNCT
ejpam-4353	300	5	λi	λi	NOUN
ejpam-4353	300	6	,	,	PUNCT
ejpam-4353	300	7	ς	ς	PROPN
ejpam-4353	300	8	)	)	PUNCT
ejpam-4353	300	9	c	c	NOUN
ejpam-4353	300	10	is	be	AUX
ejpam-4353	300	11	bipolar	bipolar	ADJ
ejpam-4353	300	12	soft	soft	ADJ
ejpam-4353	300	13	˜̃g	˜̃g	NOUN
ejpam-4353	300	14	-	-	PUNCT
ejpam-4353	300	15	open	open	ADJ
ejpam-4353	300	16	sets	set	NOUN
ejpam-4353	300	17	and	and	CCONJ
ejpam-4353	300	18	hence	hence	ADV
ejpam-4353	300	19	˜̃⋃	˜̃⋃	PROPN
ejpam-4353	300	20	i∈i	i∈i	ADJ
ejpam-4353	300	21	(	(	PUNCT
ejpam-4353	300	22	θi	θi	PROPN
ejpam-4353	300	23	,	,	PUNCT
ejpam-4353	300	24	λi	λi	NOUN
ejpam-4353	300	25	,	,	PUNCT
ejpam-4353	300	26	ς	ς	PROPN
ejpam-4353	300	27	)	)	PUNCT
ejpam-4353	300	28	c	c	NOUN
ejpam-4353	300	29	is	be	AUX
ejpam-4353	300	30	bipolar	bipolar	ADJ
ejpam-4353	300	31	soft	soft	ADJ
ejpam-4353	300	32	˜̃g	˜̃g	NOUN
ejpam-4353	300	33	-	-	PUNCT
ejpam-4353	300	34	open	open	ADJ
ejpam-4353	300	35	.	.	PUNCT
ejpam-4353	301	1	therefore	therefore	ADV
ejpam-4353	301	2	,	,	PUNCT
ejpam-4353	301	3	(	(	PUNCT
ejpam-4353	301	4	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	301	5	i∈i	i∈i	ADJ
ejpam-4353	301	6	(	(	PUNCT
ejpam-4353	301	7	θi	θi	PROPN
ejpam-4353	301	8	,	,	PUNCT
ejpam-4353	301	9	λi	λi	NOUN
ejpam-4353	301	10	,	,	PUNCT
ejpam-4353	301	11	ς	ς	NOUN
ejpam-4353	301	12	)	)	PUNCT
ejpam-4353	301	13	)	)	PUNCT
ejpam-4353	302	1	c	c	NOUN
ejpam-4353	302	2	is	be	AUX
ejpam-4353	302	3	also	also	ADV
ejpam-4353	302	4	bipolar	bipolar	ADJ
ejpam-4353	302	5	soft	soft	ADJ
ejpam-4353	302	6	˜̃g	˜̃g	NOUN
ejpam-4353	302	7	-	-	PUNCT
ejpam-4353	302	8	open	open	ADJ
ejpam-4353	302	9	.	.	PUNCT
ejpam-4353	303	1	this	this	PRON
ejpam-4353	303	2	means	mean	VERB
ejpam-4353	303	3	that	that	SCONJ
ejpam-4353	303	4	,	,	PUNCT
ejpam-4353	303	5	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	303	6	i∈i	i∈i	ADJ
ejpam-4353	303	7	(	(	PUNCT
ejpam-4353	303	8	θi	θi	PROPN
ejpam-4353	303	9	,	,	PUNCT
ejpam-4353	303	10	λi	λi	NOUN
ejpam-4353	303	11	,	,	PUNCT
ejpam-4353	303	12	ς	ς	NOUN
ejpam-4353	303	13	)	)	PUNCT
ejpam-4353	303	14	is	be	AUX
ejpam-4353	303	15	bipolar	bipolar	ADJ
ejpam-4353	303	16	soft	soft	ADJ
ejpam-4353	303	17	˜̃g	˜̃g	NOUN
ejpam-4353	303	18	-	-	PUNCT
ejpam-4353	303	19	closed	closed	ADJ
ejpam-4353	303	20	.	.	PUNCT
ejpam-4353	304	1	definition	definition	NOUN
ejpam-4353	304	2	21	21	NUM
ejpam-4353	304	3	.	.	PUNCT
ejpam-4353	305	1	let	let	VERB
ejpam-4353	305	2	(	(	PUNCT
ejpam-4353	305	3	ω	ω	NOUN
ejpam-4353	305	4	,	,	PUNCT
ejpam-4353	305	5	˜̃g	˜̃g	PROPN
ejpam-4353	305	6	,	,	PUNCT
ejpam-4353	305	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	305	8	)	)	PUNCT
ejpam-4353	305	9	be	be	VERB
ejpam-4353	305	10	a	a	DET
ejpam-4353	305	11	bsgt	bsgt	NOUN
ejpam-4353	305	12	s	s	PRON
ejpam-4353	305	13	and	and	CCONJ
ejpam-4353	305	14	(	(	PUNCT
ejpam-4353	305	15	θ	θ	PROPN
ejpam-4353	305	16	,	,	PUNCT
ejpam-4353	305	17	λ	λ	PROPN
ejpam-4353	305	18	,	,	PUNCT
ejpam-4353	305	19	ς	ς	PROPN
ejpam-4353	305	20	)	)	PUNCT
ejpam-4353	305	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	305	22	bss(ω	bss(ω	PROPN
ejpam-4353	305	23	)	)	PUNCT
ejpam-4353	305	24	.	.	PUNCT
ejpam-4353	306	1	then	then	ADV
ejpam-4353	306	2	the	the	DET
ejpam-4353	306	3	bipolar	bipolar	ADJ
ejpam-4353	306	4	soft	soft	ADJ
ejpam-4353	306	5	˜̃g	˜̃g	NOUN
ejpam-4353	306	6	-	-	PUNCT
ejpam-4353	306	7	closure	closure	NOUN
ejpam-4353	306	8	of	of	ADP
ejpam-4353	306	9	(	(	PUNCT
ejpam-4353	306	10	θ	θ	PROPN
ejpam-4353	306	11	,	,	PUNCT
ejpam-4353	306	12	λ	λ	PROPN
ejpam-4353	306	13	,	,	PUNCT
ejpam-4353	306	14	ς	ς	PROPN
ejpam-4353	306	15	)	)	PUNCT
ejpam-4353	306	16	,	,	PUNCT
ejpam-4353	306	17	denoted	denote	VERB
ejpam-4353	306	18	by	by	ADP
ejpam-4353	306	19	c˜̃g	c˜̃g	PROPN
ejpam-4353	306	20	(	(	PUNCT
ejpam-4353	306	21	θ	θ	PROPN
ejpam-4353	306	22	,	,	PUNCT
ejpam-4353	306	23	λ	λ	PROPN
ejpam-4353	306	24	,	,	PUNCT
ejpam-4353	306	25	ς	ς	NOUN
ejpam-4353	306	26	)	)	PUNCT
ejpam-4353	306	27	,	,	PUNCT
ejpam-4353	306	28	is	be	AUX
ejpam-4353	306	29	the	the	DET
ejpam-4353	306	30	bipolar	bipolar	ADJ
ejpam-4353	306	31	soft	soft	ADJ
ejpam-4353	306	32	intersection	intersection	NOUN
ejpam-4353	306	33	of	of	ADP
ejpam-4353	306	34	all	all	DET
ejpam-4353	306	35	h.	h.	PROPN
ejpam-4353	306	36	y.	y.	PROPN
ejpam-4353	306	37	saleh	saleh	PROPN
ejpam-4353	306	38	,	,	PUNCT
ejpam-4353	306	39	b.	b.	PROPN
ejpam-4353	306	40	a.	a.	PROPN
ejpam-4353	306	41	asaad	asaad	PROPN
ejpam-4353	306	42	,	,	PUNCT
ejpam-4353	306	43	r.	r.	PROPN
ejpam-4353	306	44	a.	a.	PROPN
ejpam-4353	306	45	mohammed	mohammed	PROPN
ejpam-4353	306	46	/	/	SYM
ejpam-4353	306	47	eur	eur	PROPN
ejpam-4353	306	48	.	.	PUNCT
ejpam-4353	307	1	j.	j.	PROPN
ejpam-4353	307	2	pure	pure	PROPN
ejpam-4353	307	3	appl	appl	PROPN
ejpam-4353	307	4	.	.	PROPN
ejpam-4353	307	5	math	math	PROPN
ejpam-4353	307	6	,	,	PUNCT
ejpam-4353	307	7	15	15	NUM
ejpam-4353	307	8	(	(	PUNCT
ejpam-4353	307	9	2	2	NUM
ejpam-4353	307	10	)	)	PUNCT
ejpam-4353	307	11	(	(	PUNCT
ejpam-4353	307	12	2022	2022	NUM
ejpam-4353	307	13	)	)	PUNCT
ejpam-4353	307	14	,	,	PUNCT
ejpam-4353	307	15	646	646	NUM
ejpam-4353	307	16	-	-	SYM
ejpam-4353	307	17	671	671	NUM
ejpam-4353	307	18	658	658	NUM
ejpam-4353	307	19	bipolar	bipolar	ADJ
ejpam-4353	307	20	soft	soft	ADJ
ejpam-4353	307	21	˜̃g	˜̃g	NOUN
ejpam-4353	307	22	-	-	PUNCT
ejpam-4353	307	23	closed	close	VERB
ejpam-4353	307	24	sets	set	NOUN
ejpam-4353	307	25	containing	contain	VERB
ejpam-4353	307	26	(	(	PUNCT
ejpam-4353	307	27	θ	θ	PROPN
ejpam-4353	307	28	,	,	PUNCT
ejpam-4353	307	29	λ	λ	PROPN
ejpam-4353	307	30	,	,	PUNCT
ejpam-4353	307	31	ς	ς	PROPN
ejpam-4353	307	32	)	)	PUNCT
ejpam-4353	307	33	.	.	PUNCT
ejpam-4353	308	1	in	in	ADP
ejpam-4353	308	2	other	other	ADJ
ejpam-4353	308	3	words	word	NOUN
ejpam-4353	308	4	,	,	PUNCT
ejpam-4353	308	5	c˜̃g	c˜̃g	NOUN
ejpam-4353	308	6	(	(	PUNCT
ejpam-4353	308	7	θ	θ	PROPN
ejpam-4353	308	8	,	,	PUNCT
ejpam-4353	308	9	λ	λ	PROPN
ejpam-4353	308	10	,	,	PUNCT
ejpam-4353	308	11	ς	ς	NOUN
ejpam-4353	308	12	)	)	PUNCT
ejpam-4353	308	13	is	be	AUX
ejpam-4353	308	14	the	the	DET
ejpam-4353	308	15	smallest	small	ADJ
ejpam-4353	308	16	bipolar	bipolar	ADJ
ejpam-4353	308	17	soft	soft	ADJ
ejpam-4353	308	18	˜̃g	˜̃g	NOUN
ejpam-4353	308	19	-	-	PUNCT
ejpam-4353	308	20	closed	close	VERB
ejpam-4353	308	21	set	set	NOUN
ejpam-4353	308	22	containing	contain	VERB
ejpam-4353	308	23	(	(	PUNCT
ejpam-4353	308	24	θ	θ	PROPN
ejpam-4353	308	25	,	,	PUNCT
ejpam-4353	308	26	λ	λ	PROPN
ejpam-4353	308	27	,	,	PUNCT
ejpam-4353	308	28	ς	ς	NOUN
ejpam-4353	308	29	)	)	PUNCT
ejpam-4353	308	30	,	,	PUNCT
ejpam-4353	308	31	so	so	ADV
ejpam-4353	308	32	,	,	PUNCT
ejpam-4353	308	33	we	we	PRON
ejpam-4353	308	34	can	can	AUX
ejpam-4353	308	35	write	write	VERB
ejpam-4353	308	36	as	as	ADP
ejpam-4353	308	37	c˜̃g	c˜̃g	PROPN
ejpam-4353	308	38	(	(	PUNCT
ejpam-4353	308	39	θ	θ	PROPN
ejpam-4353	308	40	,	,	PUNCT
ejpam-4353	308	41	λ	λ	PROPN
ejpam-4353	308	42	,	,	PUNCT
ejpam-4353	308	43	ς	ς	NOUN
ejpam-4353	308	44	)	)	PUNCT
ejpam-4353	309	1	=	=	SYM
ejpam-4353	309	2	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	309	3	{	{	PUNCT
ejpam-4353	309	4	(	(	PUNCT
ejpam-4353	309	5	χ	χ	X
ejpam-4353	309	6	,	,	PUNCT
ejpam-4353	309	7	ψ	ψ	X
ejpam-4353	309	8	,	,	PUNCT
ejpam-4353	309	9	ς	ς	NOUN
ejpam-4353	309	10	)	)	PUNCT
ejpam-4353	309	11	:	:	PUNCT
ejpam-4353	309	12	(	(	PUNCT
ejpam-4353	309	13	χ	χ	X
ejpam-4353	309	14	,	,	PUNCT
ejpam-4353	309	15	ψ	ψ	X
ejpam-4353	309	16	,	,	PUNCT
ejpam-4353	309	17	ς	ς	NOUN
ejpam-4353	309	18	)	)	PUNCT
ejpam-4353	309	19	is	be	AUX
ejpam-4353	309	20	bipolar	bipolar	ADJ
ejpam-4353	309	21	soft	soft	ADJ
ejpam-4353	309	22	˜̃g	˜̃g	NOUN
ejpam-4353	309	23	-	-	PUNCT
ejpam-4353	309	24	closed	closed	ADJ
ejpam-4353	309	25	;	;	PUNCT
ejpam-4353	309	26	(	(	PUNCT
ejpam-4353	309	27	χ	χ	X
ejpam-4353	309	28	,	,	PUNCT
ejpam-4353	309	29	ψ	ψ	X
ejpam-4353	309	30	,	,	PUNCT
ejpam-4353	309	31	ς	ς	PROPN
ejpam-4353	309	32	)	)	PUNCT
ejpam-4353	309	33	˜̃⊇	˜̃⊇	ADP
ejpam-4353	309	34	(	(	PUNCT
ejpam-4353	309	35	θ	θ	PROPN
ejpam-4353	309	36	,	,	PUNCT
ejpam-4353	309	37	λ	λ	PROPN
ejpam-4353	309	38	,	,	PUNCT
ejpam-4353	309	39	ς	ς	NOUN
ejpam-4353	309	40	)	)	PUNCT
ejpam-4353	309	41	}	}	PUNCT
ejpam-4353	309	42	.	.	PUNCT
ejpam-4353	310	1	theorem	theorem	ADJ
ejpam-4353	310	2	8	8	NUM
ejpam-4353	310	3	.	.	PUNCT
ejpam-4353	311	1	let	let	VERB
ejpam-4353	311	2	(	(	PUNCT
ejpam-4353	311	3	ω	ω	NOUN
ejpam-4353	311	4	,	,	PUNCT
ejpam-4353	311	5	˜̃g	˜̃g	PROPN
ejpam-4353	311	6	,	,	PUNCT
ejpam-4353	311	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	311	8	)	)	PUNCT
ejpam-4353	311	9	be	be	VERB
ejpam-4353	311	10	a	a	DET
ejpam-4353	311	11	bsgt	bsgt	NOUN
ejpam-4353	311	12	s	s	PRON
ejpam-4353	311	13	and	and	CCONJ
ejpam-4353	311	14	(	(	PUNCT
ejpam-4353	311	15	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	311	16	,	,	PUNCT
ejpam-4353	311	17	ς	ς	PROPN
ejpam-4353	311	18	)	)	PUNCT
ejpam-4353	311	19	,	,	PUNCT
ejpam-4353	311	20	(	(	PUNCT
ejpam-4353	311	21	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	311	22	,	,	PUNCT
ejpam-4353	311	23	ς	ς	NOUN
ejpam-4353	311	24	)	)	PUNCT
ejpam-4353	311	25	˜̃∈	˜̃∈	PROPN
ejpam-4353	311	26	bss(ω	bss(ω	PROPN
ejpam-4353	311	27	)	)	PUNCT
ejpam-4353	311	28	.	.	PUNCT
ejpam-4353	312	1	then	then	ADV
ejpam-4353	312	2	(	(	PUNCT
ejpam-4353	312	3	i	i	NOUN
ejpam-4353	312	4	)	)	PUNCT
ejpam-4353	312	5	(	(	PUNCT
ejpam-4353	312	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	312	7	,	,	PUNCT
ejpam-4353	312	8	ς	ς	PROPN
ejpam-4353	312	9	)	)	PUNCT
ejpam-4353	312	10	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	312	11	c˜̃g	c˜̃g	PROPN
ejpam-4353	312	12	(	(	PUNCT
ejpam-4353	312	13	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	312	14	,	,	PUNCT
ejpam-4353	312	15	ς	ς	PROPN
ejpam-4353	312	16	)	)	PUNCT
ejpam-4353	312	17	.	.	PUNCT
ejpam-4353	313	1	(	(	PUNCT
ejpam-4353	313	2	ii	ii	NOUN
ejpam-4353	313	3	)	)	PUNCT
ejpam-4353	313	4	(	(	PUNCT
ejpam-4353	313	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	313	6	,	,	PUNCT
ejpam-4353	313	7	ς	ς	NOUN
ejpam-4353	313	8	)	)	PUNCT
ejpam-4353	313	9	is	be	AUX
ejpam-4353	313	10	bipolar	bipolar	ADJ
ejpam-4353	313	11	soft	soft	ADJ
ejpam-4353	313	12	˜̃g	˜̃g	NOUN
ejpam-4353	313	13	-	-	PUNCT
ejpam-4353	313	14	closed	close	VERB
ejpam-4353	313	15	if	if	SCONJ
ejpam-4353	313	16	and	and	CCONJ
ejpam-4353	313	17	only	only	ADV
ejpam-4353	313	18	if	if	SCONJ
ejpam-4353	313	19	c˜̃g	c˜̃g	PROPN
ejpam-4353	313	20	(	(	PUNCT
ejpam-4353	313	21	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	313	22	,	,	PUNCT
ejpam-4353	313	23	ς	ς	NOUN
ejpam-4353	313	24	)	)	PUNCT
ejpam-4353	313	25	=	=	SYM
ejpam-4353	313	26	(	(	PUNCT
ejpam-4353	313	27	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	313	28	,	,	PUNCT
ejpam-4353	313	29	ς	ς	PROPN
ejpam-4353	313	30	)	)	PUNCT
ejpam-4353	313	31	.	.	PUNCT
ejpam-4353	314	1	(	(	PUNCT
ejpam-4353	314	2	iii	iii	X
ejpam-4353	314	3	)	)	PUNCT
ejpam-4353	314	4	c˜̃g	c˜̃g	NOUN
ejpam-4353	314	5	(	(	PUNCT
ejpam-4353	314	6	c˜̃g	c˜̃g	PROPN
ejpam-4353	314	7	(	(	PUNCT
ejpam-4353	314	8	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	314	9	,	,	PUNCT
ejpam-4353	314	10	ς	ς	NOUN
ejpam-4353	314	11	)	)	PUNCT
ejpam-4353	314	12	)	)	PUNCT
ejpam-4353	315	1	=	=	SYM
ejpam-4353	315	2	c˜̃g	c˜̃g	NOUN
ejpam-4353	315	3	(	(	PUNCT
ejpam-4353	315	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	315	5	,	,	PUNCT
ejpam-4353	315	6	ς	ς	PROPN
ejpam-4353	315	7	)	)	PUNCT
ejpam-4353	315	8	.	.	PUNCT
ejpam-4353	316	1	(	(	PUNCT
ejpam-4353	316	2	iv	iv	X
ejpam-4353	316	3	)	)	PUNCT
ejpam-4353	316	4	if	if	SCONJ
ejpam-4353	316	5	(	(	PUNCT
ejpam-4353	316	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	316	7	,	,	PUNCT
ejpam-4353	316	8	ς	ς	NOUN
ejpam-4353	316	9	)	)	PUNCT
ejpam-4353	316	10	˜̃⊆(θ2,λ2	˜̃⊆(θ2,λ2	PROPN
ejpam-4353	316	11	,	,	PUNCT
ejpam-4353	316	12	ς	ς	PROPN
ejpam-4353	316	13	)	)	PUNCT
ejpam-4353	316	14	,	,	PUNCT
ejpam-4353	316	15	then	then	ADV
ejpam-4353	316	16	c˜̃g	c˜̃g	PROPN
ejpam-4353	316	17	(	(	PUNCT
ejpam-4353	316	18	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	316	19	,	,	PUNCT
ejpam-4353	316	20	ς	ς	PROPN
ejpam-4353	316	21	)	)	PUNCT
ejpam-4353	316	22	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	316	23	c˜̃g	c˜̃g	PROPN
ejpam-4353	316	24	(	(	PUNCT
ejpam-4353	316	25	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	316	26	,	,	PUNCT
ejpam-4353	316	27	ς	ς	NOUN
ejpam-4353	316	28	)	)	PUNCT
ejpam-4353	316	29	.	.	PUNCT
ejpam-4353	317	1	(	(	PUNCT
ejpam-4353	317	2	v	v	NOUN
ejpam-4353	317	3	)	)	PUNCT
ejpam-4353	317	4	c˜̃g	c˜̃g	NOUN
ejpam-4353	317	5	(	(	PUNCT
ejpam-4353	317	6	(	(	PUNCT
ejpam-4353	317	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	317	8	,	,	PUNCT
ejpam-4353	317	9	ς	ς	PROPN
ejpam-4353	317	10	)	)	PUNCT
ejpam-4353	317	11	˜̃∩	˜̃∩	ADV
ejpam-4353	317	12	(	(	PUNCT
ejpam-4353	317	13	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	317	14	,	,	PUNCT
ejpam-4353	317	15	ς	ς	NOUN
ejpam-4353	317	16	)	)	PUNCT
ejpam-4353	317	17	)	)	PUNCT
ejpam-4353	318	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	318	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	318	3	(	(	PUNCT
ejpam-4353	318	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	318	5	,	,	PUNCT
ejpam-4353	318	6	ς	ς	PROPN
ejpam-4353	318	7	)	)	PUNCT
ejpam-4353	318	8	˜̃∩	˜̃∩	ADV
ejpam-4353	318	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	318	10	(	(	PUNCT
ejpam-4353	318	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	318	12	,	,	PUNCT
ejpam-4353	318	13	ς	ς	NOUN
ejpam-4353	318	14	)	)	PUNCT
ejpam-4353	318	15	.	.	PUNCT
ejpam-4353	319	1	(	(	PUNCT
ejpam-4353	319	2	vi	vi	NOUN
ejpam-4353	319	3	)	)	PUNCT
ejpam-4353	319	4	c˜̃g	c˜̃g	NOUN
ejpam-4353	319	5	(	(	PUNCT
ejpam-4353	319	6	(	(	PUNCT
ejpam-4353	319	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	319	8	,	,	PUNCT
ejpam-4353	319	9	ς	ς	PROPN
ejpam-4353	319	10	)	)	PUNCT
ejpam-4353	319	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	319	12	(	(	PUNCT
ejpam-4353	319	13	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	319	14	,	,	PUNCT
ejpam-4353	319	15	ς	ς	NOUN
ejpam-4353	319	16	)	)	PUNCT
ejpam-4353	319	17	˜̃⊇	˜̃⊇	ADP
ejpam-4353	319	18	c˜̃g	c˜̃g	PROPN
ejpam-4353	319	19	(	(	PUNCT
ejpam-4353	319	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	319	21	,	,	PUNCT
ejpam-4353	319	22	ς	ς	PROPN
ejpam-4353	319	23	)	)	PUNCT
ejpam-4353	319	24	˜̃∪	˜̃∪	PROPN
ejpam-4353	319	25	c˜̃g	c˜̃g	PROPN
ejpam-4353	319	26	(	(	PUNCT
ejpam-4353	319	27	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	319	28	,	,	PUNCT
ejpam-4353	319	29	ς	ς	NOUN
ejpam-4353	319	30	)	)	PUNCT
ejpam-4353	319	31	.	.	PUNCT
ejpam-4353	320	1	(	(	PUNCT
ejpam-4353	320	2	vii	vii	PROPN
ejpam-4353	320	3	)	)	PUNCT
ejpam-4353	320	4	c˜̃g(˜̃ω	c˜̃g(˜̃ω	PROPN
ejpam-4353	320	5	,	,	PUNCT
ejpam-4353	320	6	φ	φ	PROPN
ejpam-4353	320	7	,	,	PUNCT
ejpam-4353	320	8	ς	ς	PROPN
ejpam-4353	320	9	)	)	PUNCT
ejpam-4353	320	10	=	=	SYM
ejpam-4353	320	11	(	(	PUNCT
ejpam-4353	320	12	˜̃	˜̃	NOUN
ejpam-4353	320	13	ω	ω	PROPN
ejpam-4353	320	14	,	,	PUNCT
ejpam-4353	320	15	φ	φ	PROPN
ejpam-4353	320	16	,	,	PUNCT
ejpam-4353	320	17	ς	ς	PROPN
ejpam-4353	320	18	)	)	PUNCT
ejpam-4353	320	19	.	.	PUNCT
ejpam-4353	321	1	proof	proof	NOUN
ejpam-4353	321	2	.	.	PUNCT
ejpam-4353	322	1	(	(	PUNCT
ejpam-4353	322	2	i	i	NOUN
ejpam-4353	322	3	)	)	PUNCT
ejpam-4353	322	4	since	since	SCONJ
ejpam-4353	322	5	c˜̃g	c˜̃g	PROPN
ejpam-4353	322	6	(	(	PUNCT
ejpam-4353	322	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	322	8	,	,	PUNCT
ejpam-4353	322	9	ς	ς	NOUN
ejpam-4353	322	10	)	)	PUNCT
ejpam-4353	322	11	=	=	SYM
ejpam-4353	322	12	˜̃⋂{(θi	˜̃⋂{(θi	PROPN
ejpam-4353	322	13	,	,	PUNCT
ejpam-4353	322	14	λi	λi	NOUN
ejpam-4353	322	15	,	,	PUNCT
ejpam-4353	322	16	ς	ς	PROPN
ejpam-4353	322	17	)	)	PUNCT
ejpam-4353	322	18	:	:	PUNCT
ejpam-4353	322	19	(	(	PUNCT
ejpam-4353	322	20	θi	θi	X
ejpam-4353	322	21	,	,	PUNCT
ejpam-4353	322	22	λi	λi	NOUN
ejpam-4353	322	23	,	,	PUNCT
ejpam-4353	322	24	ς	ς	NOUN
ejpam-4353	322	25	)	)	PUNCT
ejpam-4353	322	26	c	c	NOUN
ejpam-4353	322	27	˜̃∈	˜̃∈	PROPN
ejpam-4353	322	28	˜̃g	˜̃g	PROPN
ejpam-4353	322	29	,	,	PUNCT
ejpam-4353	322	30	(	(	PUNCT
ejpam-4353	322	31	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	322	32	,	,	PUNCT
ejpam-4353	322	33	ς	ς	PROPN
ejpam-4353	322	34	)	)	PUNCT
ejpam-4353	323	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	323	2	(	(	PUNCT
ejpam-4353	323	3	θi	θi	X
ejpam-4353	323	4	,	,	PUNCT
ejpam-4353	323	5	λi	λi	NOUN
ejpam-4353	323	6	,	,	PUNCT
ejpam-4353	323	7	ς	ς	PROPN
ejpam-4353	323	8	)	)	PUNCT
ejpam-4353	323	9	,	,	PUNCT
ejpam-4353	323	10	i	i	PRON
ejpam-4353	323	11	∈	∈	VERB
ejpam-4353	323	12	i	i	PRON
ejpam-4353	323	13	}	}	PUNCT
ejpam-4353	323	14	.	.	PUNCT
ejpam-4353	324	1	then	then	ADV
ejpam-4353	324	2	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	324	3	)	)	PUNCT
ejpam-4353	324	4	⊆	⊆	NUM
ejpam-4353	324	5	θi(ϱ	θi(ϱ	NUM
ejpam-4353	324	6	)	)	PUNCT
ejpam-4353	324	7	and	and	CCONJ
ejpam-4353	324	8	λi(¬ϱ	λi(¬ϱ	PROPN
ejpam-4353	324	9	)	)	PUNCT
ejpam-4353	324	10	⊆	⊆	NUM
ejpam-4353	324	11	λ1(¬ϱ	λ1(¬ϱ	NOUN
ejpam-4353	324	12	)	)	PUNCT
ejpam-4353	324	13	for	for	ADP
ejpam-4353	324	14	all	all	DET
ejpam-4353	324	15	i	i	PRON
ejpam-4353	324	16	∈	∈	PROPN
ejpam-4353	324	17	i.	i.	NOUN
ejpam-4353	325	1	so	so	ADV
ejpam-4353	325	2	,	,	PUNCT
ejpam-4353	325	3	θ1(ϱ	θ1(ϱ	PROPN
ejpam-4353	325	4	)	)	PUNCT
ejpam-4353	325	5	⊆	⊆	NUM
ejpam-4353	325	6	⋂	⋂	PROPN
ejpam-4353	325	7	i∈i	i∈i	ADJ
ejpam-4353	325	8	λi(ϱ	λi(ϱ	PROPN
ejpam-4353	325	9	)	)	PUNCT
ejpam-4353	325	10	and	and	CCONJ
ejpam-4353	325	11	⋃	⋃	PROPN
ejpam-4353	325	12	i∈i	i∈i	ADJ
ejpam-4353	325	13	λi(¬ϱ	λi(¬ϱ	PROPN
ejpam-4353	325	14	)	)	PUNCT
ejpam-4353	325	15	⊆	⊆	NUM
ejpam-4353	325	16	λ1(¬ϱ	λ1(¬ϱ	NOUN
ejpam-4353	325	17	)	)	PUNCT
ejpam-4353	325	18	.	.	PUNCT
ejpam-4353	326	1	thus	thus	ADV
ejpam-4353	326	2	,	,	PUNCT
ejpam-4353	326	3	(	(	PUNCT
ejpam-4353	326	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	326	5	,	,	PUNCT
ejpam-4353	326	6	ς	ς	PROPN
ejpam-4353	326	7	)	)	PUNCT
ejpam-4353	326	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	326	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	326	10	(	(	PUNCT
ejpam-4353	326	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	326	12	,	,	PUNCT
ejpam-4353	326	13	ς	ς	PROPN
ejpam-4353	326	14	)	)	PUNCT
ejpam-4353	326	15	.	.	PUNCT
ejpam-4353	327	1	(	(	PUNCT
ejpam-4353	327	2	ii	ii	NOUN
ejpam-4353	327	3	)	)	PUNCT
ejpam-4353	327	4	let	let	AUX
ejpam-4353	327	5	(	(	PUNCT
ejpam-4353	327	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	327	7	,	,	PUNCT
ejpam-4353	327	8	ς	ς	NOUN
ejpam-4353	327	9	)	)	PUNCT
ejpam-4353	327	10	be	be	VERB
ejpam-4353	327	11	a	a	DET
ejpam-4353	327	12	bipolar	bipolar	ADJ
ejpam-4353	327	13	soft	soft	ADJ
ejpam-4353	327	14	˜̃g	˜̃g	NOUN
ejpam-4353	327	15	-	-	PUNCT
ejpam-4353	327	16	closed	close	VERB
ejpam-4353	327	17	set	set	NOUN
ejpam-4353	327	18	.	.	PUNCT
ejpam-4353	328	1	then	then	ADV
ejpam-4353	328	2	(	(	PUNCT
ejpam-4353	328	3	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	328	4	,	,	PUNCT
ejpam-4353	328	5	ς	ς	PROPN
ejpam-4353	328	6	)	)	PUNCT
ejpam-4353	328	7	,	,	PUNCT
ejpam-4353	328	8	is	be	AUX
ejpam-4353	328	9	the	the	DET
ejpam-4353	328	10	smallest	small	ADJ
ejpam-4353	328	11	bipolar	bipolar	ADJ
ejpam-4353	328	12	soft	soft	ADJ
ejpam-4353	328	13	˜̃g	˜̃g	NOUN
ejpam-4353	328	14	-	-	PUNCT
ejpam-4353	328	15	closed	close	VERB
ejpam-4353	328	16	set	set	NOUN
ejpam-4353	328	17	containing	contain	VERB
ejpam-4353	328	18	(	(	PUNCT
ejpam-4353	328	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	328	20	,	,	PUNCT
ejpam-4353	328	21	ς	ς	PROPN
ejpam-4353	328	22	)	)	PUNCT
ejpam-4353	328	23	.	.	PUNCT
ejpam-4353	329	1	from	from	ADP
ejpam-4353	329	2	(	(	PUNCT
ejpam-4353	329	3	i	i	NOUN
ejpam-4353	329	4	)	)	PUNCT
ejpam-4353	329	5	,	,	PUNCT
ejpam-4353	329	6	we	we	PRON
ejpam-4353	329	7	have	have	VERB
ejpam-4353	329	8	(	(	PUNCT
ejpam-4353	329	9	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	329	10	,	,	PUNCT
ejpam-4353	329	11	ς	ς	PROPN
ejpam-4353	329	12	)	)	PUNCT
ejpam-4353	329	13	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	329	14	c˜̃g	c˜̃g	PROPN
ejpam-4353	329	15	(	(	PUNCT
ejpam-4353	329	16	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	329	17	,	,	PUNCT
ejpam-4353	329	18	ς	ς	PROPN
ejpam-4353	329	19	)	)	PUNCT
ejpam-4353	329	20	.	.	PUNCT
ejpam-4353	330	1	therefore	therefore	ADV
ejpam-4353	330	2	,	,	PUNCT
ejpam-4353	330	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	330	4	(	(	PUNCT
ejpam-4353	330	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	330	6	,	,	PUNCT
ejpam-4353	330	7	ς	ς	NOUN
ejpam-4353	330	8	)	)	PUNCT
ejpam-4353	330	9	=	=	SYM
ejpam-4353	330	10	(	(	PUNCT
ejpam-4353	330	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	330	12	,	,	PUNCT
ejpam-4353	330	13	ς	ς	PROPN
ejpam-4353	330	14	)	)	PUNCT
ejpam-4353	330	15	.	.	PUNCT
ejpam-4353	331	1	(	(	PUNCT
ejpam-4353	331	2	iii	iii	X
ejpam-4353	331	3	)	)	PUNCT
ejpam-4353	331	4	since	since	SCONJ
ejpam-4353	331	5	c˜̃g	c˜̃g	PROPN
ejpam-4353	331	6	(	(	PUNCT
ejpam-4353	331	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	331	8	,	,	PUNCT
ejpam-4353	331	9	ς	ς	NOUN
ejpam-4353	331	10	)	)	PUNCT
ejpam-4353	331	11	is	be	AUX
ejpam-4353	331	12	a	a	DET
ejpam-4353	331	13	bipolar	bipolar	ADJ
ejpam-4353	331	14	soft	soft	ADJ
ejpam-4353	331	15	˜̃g	˜̃g	NOUN
ejpam-4353	331	16	-	-	PUNCT
ejpam-4353	331	17	closed	close	VERB
ejpam-4353	331	18	set	set	NOUN
ejpam-4353	331	19	.	.	PUNCT
ejpam-4353	332	1	thus	thus	ADV
ejpam-4353	332	2	by	by	ADP
ejpam-4353	332	3	(	(	PUNCT
ejpam-4353	332	4	ii	ii	NOUN
ejpam-4353	332	5	)	)	PUNCT
ejpam-4353	332	6	,	,	PUNCT
ejpam-4353	332	7	it	it	PRON
ejpam-4353	332	8	is	be	AUX
ejpam-4353	332	9	equal	equal	ADJ
ejpam-4353	332	10	to	to	ADP
ejpam-4353	332	11	its	its	PRON
ejpam-4353	332	12	bipolar	bipolar	ADJ
ejpam-4353	332	13	soft	soft	ADJ
ejpam-4353	332	14	˜̃g	˜̃g	NOUN
ejpam-4353	332	15	-	-	PUNCT
ejpam-4353	332	16	closure	closure	NOUN
ejpam-4353	332	17	.	.	PUNCT
ejpam-4353	333	1	therefore	therefore	ADV
ejpam-4353	333	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	333	3	(	(	PUNCT
ejpam-4353	333	4	c˜̃g	c˜̃g	PROPN
ejpam-4353	333	5	(	(	PUNCT
ejpam-4353	333	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	333	7	,	,	PUNCT
ejpam-4353	333	8	ς	ς	NOUN
ejpam-4353	333	9	)	)	PUNCT
ejpam-4353	333	10	)	)	PUNCT
ejpam-4353	334	1	=	=	SYM
ejpam-4353	334	2	c˜̃g	c˜̃g	NOUN
ejpam-4353	334	3	(	(	PUNCT
ejpam-4353	334	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	334	5	,	,	PUNCT
ejpam-4353	334	6	ς	ς	PROPN
ejpam-4353	334	7	)	)	PUNCT
ejpam-4353	334	8	.	.	PUNCT
ejpam-4353	335	1	(	(	PUNCT
ejpam-4353	335	2	iv	iv	X
ejpam-4353	335	3	)	)	PUNCT
ejpam-4353	335	4	suppose	suppose	VERB
ejpam-4353	335	5	(	(	PUNCT
ejpam-4353	335	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	335	7	,	,	PUNCT
ejpam-4353	335	8	ς	ς	PROPN
ejpam-4353	335	9	)	)	PUNCT
ejpam-4353	335	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	335	11	(	(	PUNCT
ejpam-4353	335	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	335	13	,	,	PUNCT
ejpam-4353	335	14	ς	ς	PROPN
ejpam-4353	335	15	)	)	PUNCT
ejpam-4353	335	16	.	.	PUNCT
ejpam-4353	336	1	from	from	ADP
ejpam-4353	336	2	(	(	PUNCT
ejpam-4353	336	3	i	i	NOUN
ejpam-4353	336	4	)	)	PUNCT
ejpam-4353	336	5	,	,	PUNCT
ejpam-4353	336	6	(	(	PUNCT
ejpam-4353	336	7	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	336	8	,	,	PUNCT
ejpam-4353	336	9	ς	ς	PROPN
ejpam-4353	336	10	)	)	PUNCT
ejpam-4353	336	11	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	336	12	c˜̃g	c˜̃g	PROPN
ejpam-4353	336	13	(	(	PUNCT
ejpam-4353	336	14	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	336	15	,	,	PUNCT
ejpam-4353	336	16	ς	ς	NOUN
ejpam-4353	336	17	)	)	PUNCT
ejpam-4353	336	18	.	.	PUNCT
ejpam-4353	337	1	thus	thus	ADV
ejpam-4353	337	2	,	,	PUNCT
ejpam-4353	337	3	(	(	PUNCT
ejpam-4353	337	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	337	5	,	,	PUNCT
ejpam-4353	337	6	ς	ς	PROPN
ejpam-4353	337	7	)	)	PUNCT
ejpam-4353	337	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	337	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	337	10	(	(	PUNCT
ejpam-4353	337	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	337	12	,	,	PUNCT
ejpam-4353	337	13	ς	ς	NOUN
ejpam-4353	337	14	)	)	PUNCT
ejpam-4353	337	15	.	.	PUNCT
ejpam-4353	338	1	now	now	ADV
ejpam-4353	338	2	,	,	PUNCT
ejpam-4353	338	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	338	4	(	(	PUNCT
ejpam-4353	338	5	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	338	6	,	,	PUNCT
ejpam-4353	338	7	ς	ς	NOUN
ejpam-4353	338	8	)	)	PUNCT
ejpam-4353	338	9	is	be	AUX
ejpam-4353	338	10	a	a	DET
ejpam-4353	338	11	bipolar	bipolar	ADJ
ejpam-4353	338	12	soft	soft	ADJ
ejpam-4353	338	13	˜̃g	˜̃g	NOUN
ejpam-4353	338	14	-	-	PUNCT
ejpam-4353	338	15	closed	close	VERB
ejpam-4353	338	16	set	set	NOUN
ejpam-4353	338	17	containing	contain	VERB
ejpam-4353	338	18	(	(	PUNCT
ejpam-4353	338	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	338	20	,	,	PUNCT
ejpam-4353	338	21	ς	ς	PROPN
ejpam-4353	338	22	)	)	PUNCT
ejpam-4353	338	23	.	.	PUNCT
ejpam-4353	339	1	so	so	ADV
ejpam-4353	339	2	it	it	PRON
ejpam-4353	339	3	is	be	AUX
ejpam-4353	339	4	containing	contain	VERB
ejpam-4353	339	5	its	its	PRON
ejpam-4353	339	6	bipolar	bipolar	ADJ
ejpam-4353	339	7	soft	soft	ADJ
ejpam-4353	339	8	˜̃g	˜̃g	NOUN
ejpam-4353	339	9	-	-	PUNCT
ejpam-4353	339	10	closure	closure	NOUN
ejpam-4353	339	11	,	,	PUNCT
ejpam-4353	339	12	and	and	CCONJ
ejpam-4353	339	13	since	since	SCONJ
ejpam-4353	339	14	c˜̃g	c˜̃g	PROPN
ejpam-4353	339	15	(	(	PUNCT
ejpam-4353	339	16	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	339	17	,	,	PUNCT
ejpam-4353	339	18	ς	ς	NOUN
ejpam-4353	339	19	)	)	PUNCT
ejpam-4353	339	20	is	be	AUX
ejpam-4353	339	21	the	the	DET
ejpam-4353	339	22	smallest	small	ADJ
ejpam-4353	339	23	bipolar	bipolar	ADJ
ejpam-4353	339	24	soft	soft	ADJ
ejpam-4353	339	25	˜̃g	˜̃g	NOUN
ejpam-4353	339	26	-	-	PUNCT
ejpam-4353	339	27	closed	close	VERB
ejpam-4353	339	28	set	set	NOUN
ejpam-4353	339	29	containing	contain	VERB
ejpam-4353	339	30	(	(	PUNCT
ejpam-4353	339	31	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	339	32	,	,	PUNCT
ejpam-4353	339	33	ς	ς	PROPN
ejpam-4353	339	34	)	)	PUNCT
ejpam-4353	339	35	.	.	PUNCT
ejpam-4353	340	1	therefore	therefore	ADV
ejpam-4353	340	2	,	,	PUNCT
ejpam-4353	340	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	340	4	(	(	PUNCT
ejpam-4353	340	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	340	6	,	,	PUNCT
ejpam-4353	340	7	ς)˜̃⊆	ς)˜̃⊆	PROPN
ejpam-4353	340	8	c˜̃g	c˜̃g	PROPN
ejpam-4353	340	9	(	(	PUNCT
ejpam-4353	340	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	340	11	,	,	PUNCT
ejpam-4353	340	12	ς	ς	PROPN
ejpam-4353	340	13	)	)	PUNCT
ejpam-4353	340	14	.	.	PUNCT
ejpam-4353	341	1	h.	h.	PROPN
ejpam-4353	341	2	y.	y.	PROPN
ejpam-4353	341	3	saleh	saleh	PROPN
ejpam-4353	341	4	,	,	PUNCT
ejpam-4353	341	5	b.	b.	PROPN
ejpam-4353	341	6	a.	a.	PROPN
ejpam-4353	341	7	asaad	asaad	PROPN
ejpam-4353	341	8	,	,	PUNCT
ejpam-4353	341	9	r.	r.	PROPN
ejpam-4353	341	10	a.	a.	PROPN
ejpam-4353	341	11	mohammed	mohammed	PROPN
ejpam-4353	341	12	/	/	SYM
ejpam-4353	341	13	eur	eur	PROPN
ejpam-4353	341	14	.	.	PUNCT
ejpam-4353	342	1	j.	j.	PROPN
ejpam-4353	342	2	pure	pure	PROPN
ejpam-4353	342	3	appl	appl	PROPN
ejpam-4353	342	4	.	.	PROPN
ejpam-4353	342	5	math	math	PROPN
ejpam-4353	342	6	,	,	PUNCT
ejpam-4353	342	7	15	15	NUM
ejpam-4353	342	8	(	(	PUNCT
ejpam-4353	342	9	2	2	NUM
ejpam-4353	342	10	)	)	PUNCT
ejpam-4353	342	11	(	(	PUNCT
ejpam-4353	342	12	2022	2022	NUM
ejpam-4353	342	13	)	)	PUNCT
ejpam-4353	342	14	,	,	PUNCT
ejpam-4353	342	15	646	646	NUM
ejpam-4353	342	16	-	-	SYM
ejpam-4353	342	17	671	671	NUM
ejpam-4353	342	18	659	659	NUM
ejpam-4353	342	19	(	(	PUNCT
ejpam-4353	342	20	v	v	NOUN
ejpam-4353	342	21	)	)	PUNCT
ejpam-4353	342	22	since	since	SCONJ
ejpam-4353	342	23	(	(	PUNCT
ejpam-4353	342	24	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	342	25	,	,	PUNCT
ejpam-4353	342	26	ς	ς	PROPN
ejpam-4353	342	27	)	)	PUNCT
ejpam-4353	342	28	˜̃∩	˜̃∩	ADV
ejpam-4353	342	29	(	(	PUNCT
ejpam-4353	342	30	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	342	31	,	,	PUNCT
ejpam-4353	342	32	ς	ς	NOUN
ejpam-4353	342	33	)	)	PUNCT
ejpam-4353	342	34	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	342	35	(	(	PUNCT
ejpam-4353	342	36	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	342	37	,	,	PUNCT
ejpam-4353	342	38	ς	ς	PROPN
ejpam-4353	342	39	)	)	PUNCT
ejpam-4353	342	40	and	and	CCONJ
ejpam-4353	342	41	(	(	PUNCT
ejpam-4353	342	42	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	342	43	,	,	PUNCT
ejpam-4353	342	44	ς	ς	PROPN
ejpam-4353	342	45	)	)	PUNCT
ejpam-4353	342	46	˜̃∩	˜̃∩	ADV
ejpam-4353	342	47	(	(	PUNCT
ejpam-4353	342	48	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	342	49	,	,	PUNCT
ejpam-4353	342	50	ς	ς	NOUN
ejpam-4353	342	51	)	)	PUNCT
ejpam-4353	342	52	˜̃⊆(θ2,λ2	˜̃⊆(θ2,λ2	PROPN
ejpam-4353	342	53	,	,	PUNCT
ejpam-4353	342	54	ς	ς	PROPN
ejpam-4353	342	55	)	)	PUNCT
ejpam-4353	342	56	.	.	PUNCT
ejpam-4353	343	1	so	so	ADV
ejpam-4353	343	2	by	by	ADP
ejpam-4353	343	3	(	(	PUNCT
ejpam-4353	343	4	iv	iv	X
ejpam-4353	343	5	)	)	PUNCT
ejpam-4353	343	6	,	,	PUNCT
ejpam-4353	343	7	we	we	PRON
ejpam-4353	343	8	get	get	VERB
ejpam-4353	343	9	c˜̃g	c˜̃g	NOUN
ejpam-4353	343	10	(	(	PUNCT
ejpam-4353	343	11	(	(	PUNCT
ejpam-4353	343	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	343	13	,	,	PUNCT
ejpam-4353	343	14	ς	ς	PROPN
ejpam-4353	343	15	)	)	PUNCT
ejpam-4353	343	16	˜̃∩	˜̃∩	ADV
ejpam-4353	343	17	(	(	PUNCT
ejpam-4353	343	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	343	19	,	,	PUNCT
ejpam-4353	343	20	ς	ς	NOUN
ejpam-4353	343	21	)	)	PUNCT
ejpam-4353	343	22	)	)	PUNCT
ejpam-4353	344	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	344	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	344	3	(	(	PUNCT
ejpam-4353	344	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	344	5	,	,	PUNCT
ejpam-4353	344	6	ς	ς	PROPN
ejpam-4353	344	7	)	)	PUNCT
ejpam-4353	344	8	and	and	CCONJ
ejpam-4353	344	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	344	10	(	(	PUNCT
ejpam-4353	344	11	(	(	PUNCT
ejpam-4353	344	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	344	13	,	,	PUNCT
ejpam-4353	344	14	ς	ς	PROPN
ejpam-4353	344	15	)	)	PUNCT
ejpam-4353	344	16	˜̃∩	˜̃∩	ADV
ejpam-4353	344	17	(	(	PUNCT
ejpam-4353	344	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	344	19	,	,	PUNCT
ejpam-4353	344	20	ς	ς	NOUN
ejpam-4353	344	21	)	)	PUNCT
ejpam-4353	344	22	)	)	PUNCT
ejpam-4353	345	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	345	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	345	3	(	(	PUNCT
ejpam-4353	345	4	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	345	5	,	,	PUNCT
ejpam-4353	345	6	ς	ς	NOUN
ejpam-4353	345	7	)	)	PUNCT
ejpam-4353	345	8	.	.	PUNCT
ejpam-4353	346	1	hence	hence	ADV
ejpam-4353	346	2	,	,	PUNCT
ejpam-4353	346	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	346	4	(	(	PUNCT
ejpam-4353	346	5	(	(	PUNCT
ejpam-4353	346	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	346	7	,	,	PUNCT
ejpam-4353	346	8	ς	ς	PROPN
ejpam-4353	346	9	)	)	PUNCT
ejpam-4353	346	10	˜̃∩	˜̃∩	ADV
ejpam-4353	346	11	(	(	PUNCT
ejpam-4353	346	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	346	13	,	,	PUNCT
ejpam-4353	346	14	ς	ς	NOUN
ejpam-4353	346	15	)	)	PUNCT
ejpam-4353	346	16	)	)	PUNCT
ejpam-4353	347	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	347	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	347	3	(	(	PUNCT
ejpam-4353	347	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	347	5	,	,	PUNCT
ejpam-4353	347	6	ς	ς	PROPN
ejpam-4353	347	7	)	)	PUNCT
ejpam-4353	347	8	˜̃∩	˜̃∩	ADV
ejpam-4353	347	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	347	10	(	(	PUNCT
ejpam-4353	347	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	347	12	,	,	PUNCT
ejpam-4353	347	13	ς	ς	NOUN
ejpam-4353	347	14	)	)	PUNCT
ejpam-4353	347	15	.	.	PUNCT
ejpam-4353	348	1	(	(	PUNCT
ejpam-4353	348	2	vi	vi	NOUN
ejpam-4353	348	3	)	)	PUNCT
ejpam-4353	348	4	since	since	SCONJ
ejpam-4353	348	5	(	(	PUNCT
ejpam-4353	348	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	348	7	,	,	PUNCT
ejpam-4353	348	8	ς	ς	PROPN
ejpam-4353	348	9	)	)	PUNCT
ejpam-4353	348	10	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	348	11	(	(	PUNCT
ejpam-4353	348	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	348	13	,	,	PUNCT
ejpam-4353	348	14	ς	ς	PROPN
ejpam-4353	348	15	)	)	PUNCT
ejpam-4353	348	16	˜̃∪	˜̃∪	PROPN
ejpam-4353	348	17	(	(	PUNCT
ejpam-4353	348	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	348	19	,	,	PUNCT
ejpam-4353	348	20	ς	ς	NOUN
ejpam-4353	348	21	)	)	PUNCT
ejpam-4353	348	22	and	and	CCONJ
ejpam-4353	348	23	(	(	PUNCT
ejpam-4353	348	24	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	348	25	,	,	PUNCT
ejpam-4353	348	26	ς	ς	NOUN
ejpam-4353	348	27	)	)	PUNCT
ejpam-4353	348	28	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	348	29	(	(	PUNCT
ejpam-4353	348	30	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	348	31	,	,	PUNCT
ejpam-4353	348	32	ς	ς	PROPN
ejpam-4353	348	33	)	)	PUNCT
ejpam-4353	348	34	˜̃∪	˜̃∪	PROPN
ejpam-4353	348	35	(	(	PUNCT
ejpam-4353	348	36	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	348	37	,	,	PUNCT
ejpam-4353	348	38	ς	ς	NOUN
ejpam-4353	348	39	)	)	PUNCT
ejpam-4353	348	40	.	.	PUNCT
ejpam-4353	349	1	then	then	ADV
ejpam-4353	349	2	by	by	ADP
ejpam-4353	349	3	(	(	PUNCT
ejpam-4353	349	4	iv	iv	X
ejpam-4353	349	5	)	)	PUNCT
ejpam-4353	349	6	,	,	PUNCT
ejpam-4353	349	7	we	we	PRON
ejpam-4353	349	8	have	have	VERB
ejpam-4353	349	9	c˜̃g	c˜̃g	PROPN
ejpam-4353	349	10	(	(	PUNCT
ejpam-4353	349	11	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	349	12	,	,	PUNCT
ejpam-4353	349	13	ς	ς	PROPN
ejpam-4353	349	14	)	)	PUNCT
ejpam-4353	349	15	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	349	16	c˜̃g	c˜̃g	PROPN
ejpam-4353	349	17	(	(	PUNCT
ejpam-4353	349	18	(	(	PUNCT
ejpam-4353	349	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	349	20	,	,	PUNCT
ejpam-4353	349	21	ς	ς	PROPN
ejpam-4353	349	22	)	)	PUNCT
ejpam-4353	349	23	˜̃∪	˜̃∪	PROPN
ejpam-4353	349	24	(	(	PUNCT
ejpam-4353	349	25	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	349	26	,	,	PUNCT
ejpam-4353	349	27	ς	ς	NOUN
ejpam-4353	349	28	)	)	PUNCT
ejpam-4353	349	29	)	)	PUNCT
ejpam-4353	349	30	and	and	CCONJ
ejpam-4353	349	31	c˜̃g	c˜̃g	PROPN
ejpam-4353	349	32	(	(	PUNCT
ejpam-4353	349	33	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	349	34	,	,	PUNCT
ejpam-4353	349	35	ς)˜̃⊆	ς)˜̃⊆	PROPN
ejpam-4353	349	36	c˜̃g	c˜̃g	PROPN
ejpam-4353	349	37	(	(	PUNCT
ejpam-4353	349	38	(	(	PUNCT
ejpam-4353	349	39	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	349	40	,	,	PUNCT
ejpam-4353	349	41	ς	ς	PROPN
ejpam-4353	349	42	)	)	PUNCT
ejpam-4353	349	43	˜̃∪	˜̃∪	PROPN
ejpam-4353	349	44	(	(	PUNCT
ejpam-4353	349	45	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	349	46	,	,	PUNCT
ejpam-4353	349	47	ς	ς	NOUN
ejpam-4353	349	48	)	)	PUNCT
ejpam-4353	349	49	)	)	PUNCT
ejpam-4353	349	50	.	.	PUNCT
ejpam-4353	350	1	thus	thus	ADV
ejpam-4353	350	2	,	,	PUNCT
ejpam-4353	350	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	350	4	(	(	PUNCT
ejpam-4353	350	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	350	6	,	,	PUNCT
ejpam-4353	350	7	ς	ς	PROPN
ejpam-4353	350	8	)	)	PUNCT
ejpam-4353	350	9	˜̃∪	˜̃∪	PROPN
ejpam-4353	350	10	c˜̃g	c˜̃g	PROPN
ejpam-4353	350	11	(	(	PUNCT
ejpam-4353	350	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	350	13	,	,	PUNCT
ejpam-4353	350	14	ς	ς	PROPN
ejpam-4353	350	15	)	)	PUNCT
ejpam-4353	350	16	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	350	17	c˜̃g	c˜̃g	PROPN
ejpam-4353	350	18	(	(	PUNCT
ejpam-4353	350	19	(	(	PUNCT
ejpam-4353	350	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	350	21	,	,	PUNCT
ejpam-4353	350	22	ς	ς	PROPN
ejpam-4353	350	23	)	)	PUNCT
ejpam-4353	350	24	˜̃∪	˜̃∪	PROPN
ejpam-4353	350	25	(	(	PUNCT
ejpam-4353	350	26	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	350	27	,	,	PUNCT
ejpam-4353	350	28	ς	ς	NOUN
ejpam-4353	350	29	)	)	PUNCT
ejpam-4353	350	30	)	)	PUNCT
ejpam-4353	350	31	.	.	PUNCT
ejpam-4353	351	1	(	(	PUNCT
ejpam-4353	351	2	vii	vii	PROPN
ejpam-4353	351	3	)	)	PUNCT
ejpam-4353	351	4	the	the	DET
ejpam-4353	351	5	proof	proof	NOUN
ejpam-4353	351	6	is	be	AUX
ejpam-4353	351	7	trivial	trivial	ADJ
ejpam-4353	351	8	.	.	PUNCT
ejpam-4353	352	1	in	in	ADP
ejpam-4353	352	2	the	the	DET
ejpam-4353	352	3	next	next	ADJ
ejpam-4353	352	4	example	example	NOUN
ejpam-4353	352	5	,	,	PUNCT
ejpam-4353	352	6	we	we	PRON
ejpam-4353	352	7	will	will	AUX
ejpam-4353	352	8	show	show	VERB
ejpam-4353	352	9	that	that	SCONJ
ejpam-4353	352	10	the	the	DET
ejpam-4353	352	11	equality	equality	NOUN
ejpam-4353	352	12	of	of	ADP
ejpam-4353	352	13	parts	part	NOUN
ejpam-4353	352	14	(	(	PUNCT
ejpam-4353	352	15	v	v	NOUN
ejpam-4353	352	16	)	)	PUNCT
ejpam-4353	352	17	and	and	CCONJ
ejpam-4353	352	18	(	(	PUNCT
ejpam-4353	352	19	vi	vi	X
ejpam-4353	352	20	)	)	PUNCT
ejpam-4353	352	21	in	in	ADP
ejpam-4353	352	22	theorem	theorem	NOUN
ejpam-4353	352	23	8	8	NUM
ejpam-4353	352	24	does	do	AUX
ejpam-4353	352	25	not	not	PART
ejpam-4353	352	26	hold	hold	VERB
ejpam-4353	352	27	.	.	PUNCT
ejpam-4353	352	28	example	example	NOUN
ejpam-4353	353	1	5	5	NUM
ejpam-4353	353	2	.	.	PUNCT
ejpam-4353	354	1	let	let	VERB
ejpam-4353	354	2	ω	ω	NOUN
ejpam-4353	354	3	=	=	SYM
ejpam-4353	354	4	{	{	PUNCT
ejpam-4353	354	5	ω1	ω1	PROPN
ejpam-4353	354	6	,	,	PUNCT
ejpam-4353	354	7	ω2	ω2	ADJ
ejpam-4353	354	8	,	,	PUNCT
ejpam-4353	354	9	ω3	ω3	NOUN
ejpam-4353	354	10	,	,	PUNCT
ejpam-4353	354	11	ω4	ω4	NUM
ejpam-4353	354	12	,	,	PUNCT
ejpam-4353	354	13	ω5	ω5	PROPN
ejpam-4353	354	14	}	}	PUNCT
ejpam-4353	354	15	,	,	PUNCT
ejpam-4353	354	16	a	a	DET
ejpam-4353	354	17	=	=	X
ejpam-4353	354	18	{	{	PUNCT
ejpam-4353	354	19	ϱ3	ϱ3	NOUN
ejpam-4353	354	20	,	,	PUNCT
ejpam-4353	354	21	ϱ4	ϱ4	NOUN
ejpam-4353	354	22	}	}	PUNCT
ejpam-4353	354	23	and˜̃g	and˜̃g	NOUN
ejpam-4353	355	1	=	=	PRON
ejpam-4353	355	2	{	{	PUNCT
ejpam-4353	355	3	(	(	PUNCT
ejpam-4353	355	4	φ	φ	PROPN
ejpam-4353	355	5	,	,	PUNCT
ejpam-4353	355	6	˜̃ω	˜̃ω	PROPN
ejpam-4353	355	7	,	,	PUNCT
ejpam-4353	355	8	ς	ς	PROPN
ejpam-4353	355	9	)	)	PUNCT
ejpam-4353	355	10	,	,	PUNCT
ejpam-4353	355	11	(	(	PUNCT
ejpam-4353	355	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	355	13	,	,	PUNCT
ejpam-4353	355	14	ς	ς	PROPN
ejpam-4353	355	15	)	)	PUNCT
ejpam-4353	355	16	,	,	PUNCT
ejpam-4353	355	17	(	(	PUNCT
ejpam-4353	355	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	355	19	,	,	PUNCT
ejpam-4353	355	20	ς	ς	NOUN
ejpam-4353	355	21	)	)	PUNCT
ejpam-4353	355	22	,	,	PUNCT
ejpam-4353	355	23	(	(	PUNCT
ejpam-4353	355	24	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	355	25	,	,	PUNCT
ejpam-4353	355	26	ς	ς	PROPN
ejpam-4353	355	27	)	)	PUNCT
ejpam-4353	355	28	,	,	PUNCT
ejpam-4353	355	29	(	(	PUNCT
ejpam-4353	355	30	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	355	31	,	,	PUNCT
ejpam-4353	355	32	ς	ς	NOUN
ejpam-4353	355	33	)	)	PUNCT
ejpam-4353	355	34	,	,	PUNCT
ejpam-4353	355	35	(	(	PUNCT
ejpam-4353	355	36	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	355	37	,	,	PUNCT
ejpam-4353	355	38	ς	ς	PROPN
ejpam-4353	355	39	)	)	PUNCT
ejpam-4353	355	40	,	,	PUNCT
ejpam-4353	355	41	(	(	PUNCT
ejpam-4353	355	42	θ6,λ6	θ6,λ6	PROPN
ejpam-4353	355	43	,	,	PUNCT
ejpam-4353	355	44	ς	ς	NOUN
ejpam-4353	355	45	)	)	PUNCT
ejpam-4353	355	46	}	}	PUNCT
ejpam-4353	355	47	where	where	SCONJ
ejpam-4353	355	48	(	(	PUNCT
ejpam-4353	355	49	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	355	50	,	,	PUNCT
ejpam-4353	355	51	ς	ς	NOUN
ejpam-4353	355	52	)	)	PUNCT
ejpam-4353	355	53	=	=	SYM
ejpam-4353	355	54	{	{	PUNCT
ejpam-4353	355	55	(	(	PUNCT
ejpam-4353	355	56	ϱ3	ϱ3	PROPN
ejpam-4353	355	57	,	,	PUNCT
ejpam-4353	355	58	{	{	PUNCT
ejpam-4353	355	59	ω2	ω2	ADJ
ejpam-4353	355	60	,	,	PUNCT
ejpam-4353	355	61	ω4	ω4	NUM
ejpam-4353	355	62	}	}	PUNCT
ejpam-4353	355	63	,	,	PUNCT
ejpam-4353	355	64	{	{	PUNCT
ejpam-4353	355	65	ω1	ω1	PROPN
ejpam-4353	355	66	,	,	PUNCT
ejpam-4353	355	67	ω3	ω3	PROPN
ejpam-4353	355	68	,	,	PUNCT
ejpam-4353	355	69	ω5	ω5	NOUN
ejpam-4353	355	70	}	}	PUNCT
ejpam-4353	355	71	)	)	PUNCT
ejpam-4353	355	72	,	,	PUNCT
ejpam-4353	355	73	(	(	PUNCT
ejpam-4353	355	74	ϱ4	ϱ4	NOUN
ejpam-4353	355	75	,	,	PUNCT
ejpam-4353	355	76	{	{	PUNCT
ejpam-4353	355	77	ω2	ω2	ADJ
ejpam-4353	355	78	,	,	PUNCT
ejpam-4353	355	79	ω4	ω4	NUM
ejpam-4353	355	80	}	}	PUNCT
ejpam-4353	355	81	,	,	PUNCT
ejpam-4353	355	82	{	{	PUNCT
ejpam-4353	355	83	ω1	ω1	PROPN
ejpam-4353	355	84	,	,	PUNCT
ejpam-4353	355	85	ω3	ω3	PROPN
ejpam-4353	355	86	,	,	PUNCT
ejpam-4353	355	87	ω5	ω5	NOUN
ejpam-4353	355	88	}	}	PUNCT
ejpam-4353	355	89	)	)	PUNCT
ejpam-4353	355	90	}	}	PUNCT
ejpam-4353	355	91	,	,	PUNCT
ejpam-4353	355	92	(	(	PUNCT
ejpam-4353	355	93	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	355	94	,	,	PUNCT
ejpam-4353	355	95	ς	ς	NOUN
ejpam-4353	355	96	)	)	PUNCT
ejpam-4353	355	97	=	=	PRON
ejpam-4353	355	98	{	{	PUNCT
ejpam-4353	355	99	(	(	PUNCT
ejpam-4353	355	100	ϱ3	ϱ3	PROPN
ejpam-4353	355	101	,	,	PUNCT
ejpam-4353	355	102	{	{	PUNCT
ejpam-4353	355	103	ω4	ω4	NUM
ejpam-4353	355	104	,	,	PUNCT
ejpam-4353	355	105	ω5	ω5	PROPN
ejpam-4353	355	106	}	}	PUNCT
ejpam-4353	355	107	,	,	PUNCT
ejpam-4353	355	108	{	{	PUNCT
ejpam-4353	355	109	ω2	ω2	ADJ
ejpam-4353	355	110	,	,	PUNCT
ejpam-4353	355	111	ω3	ω3	NOUN
ejpam-4353	355	112	}	}	PUNCT
ejpam-4353	355	113	)	)	PUNCT
ejpam-4353	355	114	,	,	PUNCT
ejpam-4353	355	115	(	(	PUNCT
ejpam-4353	355	116	ϱ4	ϱ4	NOUN
ejpam-4353	355	117	,	,	PUNCT
ejpam-4353	355	118	{	{	PUNCT
ejpam-4353	355	119	ω4	ω4	NUM
ejpam-4353	355	120	,	,	PUNCT
ejpam-4353	355	121	ω5	ω5	PROPN
ejpam-4353	355	122	}	}	PUNCT
ejpam-4353	355	123	,	,	PUNCT
ejpam-4353	355	124	{	{	PUNCT
ejpam-4353	355	125	ω2	ω2	ADJ
ejpam-4353	355	126	,	,	PUNCT
ejpam-4353	355	127	ω3	ω3	NOUN
ejpam-4353	355	128	}	}	PUNCT
ejpam-4353	355	129	)	)	PUNCT
ejpam-4353	355	130	}	}	PUNCT
ejpam-4353	355	131	,	,	PUNCT
ejpam-4353	355	132	(	(	PUNCT
ejpam-4353	355	133	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	355	134	,	,	PUNCT
ejpam-4353	355	135	ς	ς	NOUN
ejpam-4353	355	136	)	)	PUNCT
ejpam-4353	355	137	=	=	SYM
ejpam-4353	355	138	{	{	PUNCT
ejpam-4353	355	139	(	(	PUNCT
ejpam-4353	355	140	ϱ3	ϱ3	PROPN
ejpam-4353	355	141	,	,	PUNCT
ejpam-4353	355	142	{	{	PUNCT
ejpam-4353	355	143	ω1	ω1	PROPN
ejpam-4353	355	144	,	,	PUNCT
ejpam-4353	355	145	ω5	ω5	PROPN
ejpam-4353	355	146	}	}	PUNCT
ejpam-4353	355	147	,	,	PUNCT
ejpam-4353	355	148	{	{	PUNCT
ejpam-4353	355	149	ω2	ω2	ADJ
ejpam-4353	355	150	,	,	PUNCT
ejpam-4353	355	151	ω4	ω4	NUM
ejpam-4353	355	152	}	}	PUNCT
ejpam-4353	355	153	)	)	PUNCT
ejpam-4353	355	154	,	,	PUNCT
ejpam-4353	355	155	(	(	PUNCT
ejpam-4353	355	156	ϱ4	ϱ4	NOUN
ejpam-4353	355	157	,	,	PUNCT
ejpam-4353	355	158	{	{	PUNCT
ejpam-4353	355	159	ω1	ω1	PROPN
ejpam-4353	355	160	,	,	PUNCT
ejpam-4353	355	161	ω5	ω5	PROPN
ejpam-4353	355	162	}	}	PUNCT
ejpam-4353	355	163	,	,	PUNCT
ejpam-4353	355	164	{	{	PUNCT
ejpam-4353	355	165	ω2	ω2	ADJ
ejpam-4353	355	166	,	,	PUNCT
ejpam-4353	355	167	ω4	ω4	NUM
ejpam-4353	355	168	}	}	PUNCT
ejpam-4353	355	169	)	)	PUNCT
ejpam-4353	355	170	}	}	PUNCT
ejpam-4353	355	171	,	,	PUNCT
ejpam-4353	355	172	(	(	PUNCT
ejpam-4353	355	173	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	355	174	,	,	PUNCT
ejpam-4353	355	175	ς	ς	NOUN
ejpam-4353	355	176	)	)	PUNCT
ejpam-4353	355	177	=	=	SYM
ejpam-4353	355	178	{	{	PUNCT
ejpam-4353	355	179	(	(	PUNCT
ejpam-4353	355	180	ϱ3	ϱ3	PROPN
ejpam-4353	355	181	,	,	PUNCT
ejpam-4353	355	182	{	{	PUNCT
ejpam-4353	355	183	ω2	ω2	ADJ
ejpam-4353	355	184	,	,	PUNCT
ejpam-4353	355	185	ω4	ω4	NUM
ejpam-4353	355	186	,	,	PUNCT
ejpam-4353	355	187	ω5	ω5	PROPN
ejpam-4353	355	188	}	}	PUNCT
ejpam-4353	355	189	,	,	PUNCT
ejpam-4353	355	190	{	{	PUNCT
ejpam-4353	355	191	ω3	ω3	NOUN
ejpam-4353	355	192	}	}	PUNCT
ejpam-4353	355	193	)	)	PUNCT
ejpam-4353	355	194	,	,	PUNCT
ejpam-4353	355	195	(	(	PUNCT
ejpam-4353	355	196	ϱ4	ϱ4	NOUN
ejpam-4353	355	197	,	,	PUNCT
ejpam-4353	355	198	{	{	PUNCT
ejpam-4353	355	199	ω2	ω2	ADJ
ejpam-4353	355	200	,	,	PUNCT
ejpam-4353	355	201	ω4	ω4	NUM
ejpam-4353	355	202	,	,	PUNCT
ejpam-4353	355	203	ω5	ω5	PROPN
ejpam-4353	355	204	}	}	PUNCT
ejpam-4353	355	205	,	,	PUNCT
ejpam-4353	355	206	{	{	PUNCT
ejpam-4353	355	207	ω3	ω3	NOUN
ejpam-4353	355	208	}	}	PUNCT
ejpam-4353	355	209	)	)	PUNCT
ejpam-4353	355	210	,	,	PUNCT
ejpam-4353	355	211	(	(	PUNCT
ejpam-4353	355	212	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	355	213	,	,	PUNCT
ejpam-4353	355	214	ς	ς	PROPN
ejpam-4353	355	215	)	)	PUNCT
ejpam-4353	355	216	=	=	SYM
ejpam-4353	355	217	{	{	PUNCT
ejpam-4353	355	218	(	(	PUNCT
ejpam-4353	355	219	ϱ3	ϱ3	PROPN
ejpam-4353	355	220	,	,	PUNCT
ejpam-4353	355	221	{	{	PUNCT
ejpam-4353	355	222	ω1	ω1	PROPN
ejpam-4353	355	223	,	,	PUNCT
ejpam-4353	355	224	ω2	ω2	ADJ
ejpam-4353	355	225	,	,	PUNCT
ejpam-4353	355	226	ω4	ω4	NUM
ejpam-4353	355	227	,	,	PUNCT
ejpam-4353	355	228	ω5	ω5	PROPN
ejpam-4353	355	229	}	}	PUNCT
ejpam-4353	355	230	,	,	PUNCT
ejpam-4353	355	231	ϕ	ϕ	NOUN
ejpam-4353	355	232	)	)	PUNCT
ejpam-4353	355	233	,	,	PUNCT
ejpam-4353	355	234	(	(	PUNCT
ejpam-4353	355	235	ϱ4	ϱ4	NOUN
ejpam-4353	355	236	,	,	PUNCT
ejpam-4353	355	237	{	{	PUNCT
ejpam-4353	355	238	ω1	ω1	PROPN
ejpam-4353	355	239	,	,	PUNCT
ejpam-4353	355	240	ω2	ω2	ADJ
ejpam-4353	355	241	,	,	PUNCT
ejpam-4353	355	242	ω4	ω4	NUM
ejpam-4353	355	243	,	,	PUNCT
ejpam-4353	355	244	ω5	ω5	PROPN
ejpam-4353	355	245	}	}	PUNCT
ejpam-4353	355	246	,	,	PUNCT
ejpam-4353	355	247	ϕ	ϕ	NOUN
ejpam-4353	355	248	)	)	PUNCT
ejpam-4353	355	249	}	}	PUNCT
ejpam-4353	355	250	and	and	CCONJ
ejpam-4353	355	251	(	(	PUNCT
ejpam-4353	355	252	θ6,λ6	θ6,λ6	PROPN
ejpam-4353	355	253	,	,	PUNCT
ejpam-4353	355	254	ς	ς	NOUN
ejpam-4353	355	255	)	)	PUNCT
ejpam-4353	355	256	=	=	SYM
ejpam-4353	355	257	{	{	PUNCT
ejpam-4353	355	258	(	(	PUNCT
ejpam-4353	355	259	ϱ3	ϱ3	PROPN
ejpam-4353	355	260	,	,	PUNCT
ejpam-4353	355	261	{	{	PUNCT
ejpam-4353	355	262	ω1	ω1	PROPN
ejpam-4353	355	263	,	,	PUNCT
ejpam-4353	355	264	ω4	ω4	NUM
ejpam-4353	355	265	,	,	PUNCT
ejpam-4353	355	266	ω5	ω5	PROPN
ejpam-4353	355	267	}	}	PUNCT
ejpam-4353	355	268	,	,	PUNCT
ejpam-4353	355	269	{	{	PUNCT
ejpam-4353	355	270	ω2	ω2	ADJ
ejpam-4353	355	271	}	}	PUNCT
ejpam-4353	355	272	)	)	PUNCT
ejpam-4353	355	273	,	,	PUNCT
ejpam-4353	355	274	(	(	PUNCT
ejpam-4353	355	275	ϱ4	ϱ4	NOUN
ejpam-4353	355	276	,	,	PUNCT
ejpam-4353	355	277	{	{	PUNCT
ejpam-4353	355	278	ω1	ω1	PROPN
ejpam-4353	355	279	,	,	PUNCT
ejpam-4353	355	280	ω4	ω4	NUM
ejpam-4353	355	281	,	,	PUNCT
ejpam-4353	355	282	ω5	ω5	PROPN
ejpam-4353	355	283	}	}	PUNCT
ejpam-4353	355	284	,	,	PUNCT
ejpam-4353	355	285	{	{	PUNCT
ejpam-4353	355	286	ω2	ω2	ADJ
ejpam-4353	355	287	}	}	PUNCT
ejpam-4353	355	288	)	)	PUNCT
ejpam-4353	355	289	}	}	PUNCT
ejpam-4353	355	290	.	.	PUNCT
ejpam-4353	356	1	then	then	ADV
ejpam-4353	356	2	˜̃g	˜̃g	PROPN
ejpam-4353	356	3	c	c	PROPN
ejpam-4353	356	4	=	=	PRON
ejpam-4353	356	5	{	{	PUNCT
ejpam-4353	356	6	(	(	PUNCT
ejpam-4353	356	7	˜̃ω	˜̃ω	PROPN
ejpam-4353	356	8	,	,	PUNCT
ejpam-4353	356	9	φ	φ	PROPN
ejpam-4353	356	10	,	,	PUNCT
ejpam-4353	356	11	ς	ς	PROPN
ejpam-4353	356	12	)	)	PUNCT
ejpam-4353	356	13	,	,	PUNCT
ejpam-4353	356	14	(	(	PUNCT
ejpam-4353	356	15	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	356	16	,	,	PUNCT
ejpam-4353	356	17	ς	ς	PROPN
ejpam-4353	356	18	)	)	PUNCT
ejpam-4353	356	19	c	c	NOUN
ejpam-4353	356	20	,	,	PUNCT
ejpam-4353	356	21	(	(	PUNCT
ejpam-4353	356	22	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	356	23	,	,	PUNCT
ejpam-4353	356	24	ς	ς	NOUN
ejpam-4353	356	25	)	)	PUNCT
ejpam-4353	356	26	c	c	NOUN
ejpam-4353	356	27	,	,	PUNCT
ejpam-4353	356	28	(	(	PUNCT
ejpam-4353	356	29	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	356	30	,	,	PUNCT
ejpam-4353	356	31	ς	ς	PROPN
ejpam-4353	356	32	)	)	PUNCT
ejpam-4353	356	33	c	c	NOUN
ejpam-4353	356	34	,	,	PUNCT
ejpam-4353	356	35	(	(	PUNCT
ejpam-4353	356	36	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	356	37	,	,	PUNCT
ejpam-4353	356	38	ς	ς	PROPN
ejpam-4353	356	39	)	)	PUNCT
ejpam-4353	356	40	c	c	NOUN
ejpam-4353	356	41	,	,	PUNCT
ejpam-4353	356	42	(	(	PUNCT
ejpam-4353	356	43	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	356	44	,	,	PUNCT
ejpam-4353	356	45	ς	ς	PROPN
ejpam-4353	356	46	)	)	PUNCT
ejpam-4353	356	47	c	c	NOUN
ejpam-4353	356	48	,	,	PUNCT
ejpam-4353	356	49	(	(	PUNCT
ejpam-4353	356	50	θ6,λ6	θ6,λ6	PROPN
ejpam-4353	356	51	,	,	PUNCT
ejpam-4353	356	52	ς	ς	NOUN
ejpam-4353	356	53	)	)	PUNCT
ejpam-4353	356	54	c	c	NOUN
ejpam-4353	356	55	}	}	PUNCT
ejpam-4353	356	56	,	,	PUNCT
ejpam-4353	356	57	where	where	SCONJ
ejpam-4353	356	58	(	(	PUNCT
ejpam-4353	356	59	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	356	60	,	,	PUNCT
ejpam-4353	356	61	ς	ς	NOUN
ejpam-4353	356	62	)	)	PUNCT
ejpam-4353	356	63	c	c	NOUN
ejpam-4353	356	64	=	=	SYM
ejpam-4353	356	65	{	{	PUNCT
ejpam-4353	356	66	(	(	PUNCT
ejpam-4353	356	67	ϱ3	ϱ3	PROPN
ejpam-4353	356	68	,	,	PUNCT
ejpam-4353	356	69	{	{	PUNCT
ejpam-4353	356	70	ω1	ω1	PROPN
ejpam-4353	356	71	,	,	PUNCT
ejpam-4353	356	72	ω3	ω3	PROPN
ejpam-4353	356	73	,	,	PUNCT
ejpam-4353	356	74	ω5	ω5	PROPN
ejpam-4353	356	75	}	}	PUNCT
ejpam-4353	356	76	,	,	PUNCT
ejpam-4353	356	77	{	{	PUNCT
ejpam-4353	356	78	ω2	ω2	ADJ
ejpam-4353	356	79	,	,	PUNCT
ejpam-4353	356	80	ω4	ω4	NUM
ejpam-4353	356	81	}	}	PUNCT
ejpam-4353	356	82	)	)	PUNCT
ejpam-4353	356	83	,	,	PUNCT
ejpam-4353	356	84	(	(	PUNCT
ejpam-4353	356	85	ϱ4	ϱ4	NOUN
ejpam-4353	356	86	,	,	PUNCT
ejpam-4353	356	87	{	{	PUNCT
ejpam-4353	356	88	ω1	ω1	PROPN
ejpam-4353	356	89	,	,	PUNCT
ejpam-4353	356	90	ω3	ω3	PROPN
ejpam-4353	356	91	,	,	PUNCT
ejpam-4353	356	92	ω5	ω5	PROPN
ejpam-4353	356	93	}	}	PUNCT
ejpam-4353	356	94	,	,	PUNCT
ejpam-4353	356	95	{	{	PUNCT
ejpam-4353	356	96	ω2	ω2	ADJ
ejpam-4353	356	97	,	,	PUNCT
ejpam-4353	356	98	ω4	ω4	NUM
ejpam-4353	356	99	}	}	PUNCT
ejpam-4353	356	100	)	)	PUNCT
ejpam-4353	356	101	}	}	PUNCT
ejpam-4353	356	102	,	,	PUNCT
ejpam-4353	356	103	h.	h.	PROPN
ejpam-4353	356	104	y.	y.	PROPN
ejpam-4353	356	105	saleh	saleh	PROPN
ejpam-4353	356	106	,	,	PUNCT
ejpam-4353	356	107	b.	b.	PROPN
ejpam-4353	356	108	a.	a.	PROPN
ejpam-4353	356	109	asaad	asaad	PROPN
ejpam-4353	356	110	,	,	PUNCT
ejpam-4353	356	111	r.	r.	PROPN
ejpam-4353	356	112	a.	a.	PROPN
ejpam-4353	356	113	mohammed	mohammed	PROPN
ejpam-4353	356	114	/	/	SYM
ejpam-4353	356	115	eur	eur	PROPN
ejpam-4353	356	116	.	.	PUNCT
ejpam-4353	357	1	j.	j.	PROPN
ejpam-4353	357	2	pure	pure	PROPN
ejpam-4353	357	3	appl	appl	PROPN
ejpam-4353	357	4	.	.	PROPN
ejpam-4353	357	5	math	math	PROPN
ejpam-4353	357	6	,	,	PUNCT
ejpam-4353	357	7	15	15	NUM
ejpam-4353	357	8	(	(	PUNCT
ejpam-4353	357	9	2	2	NUM
ejpam-4353	357	10	)	)	PUNCT
ejpam-4353	357	11	(	(	PUNCT
ejpam-4353	357	12	2022	2022	NUM
ejpam-4353	357	13	)	)	PUNCT
ejpam-4353	357	14	,	,	PUNCT
ejpam-4353	357	15	646	646	NUM
ejpam-4353	357	16	-	-	SYM
ejpam-4353	357	17	671	671	NUM
ejpam-4353	357	18	660	660	NUM
ejpam-4353	357	19	(	(	PUNCT
ejpam-4353	357	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	357	21	,	,	PUNCT
ejpam-4353	357	22	ς	ς	NOUN
ejpam-4353	357	23	)	)	PUNCT
ejpam-4353	357	24	c	c	NOUN
ejpam-4353	357	25	=	=	SYM
ejpam-4353	357	26	{	{	PUNCT
ejpam-4353	357	27	(	(	PUNCT
ejpam-4353	357	28	ϱ3	ϱ3	PROPN
ejpam-4353	357	29	,	,	PUNCT
ejpam-4353	357	30	{	{	PUNCT
ejpam-4353	357	31	ω2	ω2	ADJ
ejpam-4353	357	32	,	,	PUNCT
ejpam-4353	357	33	ω3	ω3	PROPN
ejpam-4353	357	34	}	}	PUNCT
ejpam-4353	357	35	,	,	PUNCT
ejpam-4353	357	36	{	{	PUNCT
ejpam-4353	357	37	ω4	ω4	NUM
ejpam-4353	357	38	,	,	PUNCT
ejpam-4353	357	39	ω5	ω5	PROPN
ejpam-4353	357	40	}	}	PUNCT
ejpam-4353	357	41	)	)	PUNCT
ejpam-4353	357	42	,	,	PUNCT
ejpam-4353	357	43	(	(	PUNCT
ejpam-4353	357	44	ϱ4	ϱ4	NOUN
ejpam-4353	357	45	,	,	PUNCT
ejpam-4353	357	46	{	{	PUNCT
ejpam-4353	357	47	ω2	ω2	ADJ
ejpam-4353	357	48	,	,	PUNCT
ejpam-4353	357	49	ω3	ω3	PROPN
ejpam-4353	357	50	}	}	PUNCT
ejpam-4353	357	51	,	,	PUNCT
ejpam-4353	357	52	{	{	PUNCT
ejpam-4353	357	53	ω4	ω4	NUM
ejpam-4353	357	54	,	,	PUNCT
ejpam-4353	357	55	ω5	ω5	NOUN
ejpam-4353	357	56	}	}	PUNCT
ejpam-4353	357	57	)	)	PUNCT
ejpam-4353	357	58	}	}	PUNCT
ejpam-4353	357	59	,	,	PUNCT
ejpam-4353	357	60	(	(	PUNCT
ejpam-4353	357	61	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	357	62	,	,	PUNCT
ejpam-4353	357	63	ς	ς	NOUN
ejpam-4353	357	64	)	)	PUNCT
ejpam-4353	357	65	c	c	NOUN
ejpam-4353	357	66	=	=	SYM
ejpam-4353	357	67	{	{	PUNCT
ejpam-4353	357	68	(	(	PUNCT
ejpam-4353	357	69	ϱ3	ϱ3	PROPN
ejpam-4353	357	70	,	,	PUNCT
ejpam-4353	357	71	{	{	PUNCT
ejpam-4353	357	72	ω2	ω2	ADJ
ejpam-4353	357	73	,	,	PUNCT
ejpam-4353	357	74	ω4	ω4	NUM
ejpam-4353	357	75	}	}	PUNCT
ejpam-4353	357	76	,	,	PUNCT
ejpam-4353	357	77	{	{	PUNCT
ejpam-4353	357	78	ω1	ω1	PROPN
ejpam-4353	357	79	,	,	PUNCT
ejpam-4353	357	80	ω5	ω5	NOUN
ejpam-4353	357	81	}	}	PUNCT
ejpam-4353	357	82	)	)	PUNCT
ejpam-4353	357	83	,	,	PUNCT
ejpam-4353	357	84	(	(	PUNCT
ejpam-4353	357	85	ϱ4	ϱ4	NOUN
ejpam-4353	357	86	,	,	PUNCT
ejpam-4353	357	87	{	{	PUNCT
ejpam-4353	357	88	ω2	ω2	ADJ
ejpam-4353	357	89	,	,	PUNCT
ejpam-4353	357	90	ω4	ω4	NUM
ejpam-4353	357	91	}	}	PUNCT
ejpam-4353	357	92	,	,	PUNCT
ejpam-4353	357	93	{	{	PUNCT
ejpam-4353	357	94	ω1	ω1	PROPN
ejpam-4353	357	95	,	,	PUNCT
ejpam-4353	357	96	ω5	ω5	NOUN
ejpam-4353	357	97	}	}	PUNCT
ejpam-4353	357	98	)	)	PUNCT
ejpam-4353	357	99	}	}	PUNCT
ejpam-4353	357	100	(	(	PUNCT
ejpam-4353	357	101	θ4,λ4	θ4,λ4	PROPN
ejpam-4353	357	102	,	,	PUNCT
ejpam-4353	357	103	ς	ς	NOUN
ejpam-4353	357	104	)	)	PUNCT
ejpam-4353	357	105	c	c	NOUN
ejpam-4353	357	106	=	=	SYM
ejpam-4353	357	107	{	{	PUNCT
ejpam-4353	357	108	(	(	PUNCT
ejpam-4353	357	109	ϱ3	ϱ3	PROPN
ejpam-4353	357	110	,	,	PUNCT
ejpam-4353	357	111	{	{	PUNCT
ejpam-4353	357	112	ω3	ω3	PROPN
ejpam-4353	357	113	}	}	PUNCT
ejpam-4353	357	114	,	,	PUNCT
ejpam-4353	357	115	{	{	PUNCT
ejpam-4353	357	116	ω2	ω2	ADJ
ejpam-4353	357	117	,	,	PUNCT
ejpam-4353	357	118	ω4	ω4	NUM
ejpam-4353	357	119	,	,	PUNCT
ejpam-4353	357	120	ω5	ω5	NOUN
ejpam-4353	357	121	}	}	PUNCT
ejpam-4353	357	122	)	)	PUNCT
ejpam-4353	357	123	,	,	PUNCT
ejpam-4353	357	124	(	(	PUNCT
ejpam-4353	357	125	ϱ4	ϱ4	NOUN
ejpam-4353	357	126	,	,	PUNCT
ejpam-4353	357	127	{	{	PUNCT
ejpam-4353	357	128	ω3	ω3	NOUN
ejpam-4353	357	129	}	}	PUNCT
ejpam-4353	357	130	,	,	PUNCT
ejpam-4353	357	131	,	,	PUNCT
ejpam-4353	357	132	{	{	PUNCT
ejpam-4353	357	133	ω2	ω2	ADJ
ejpam-4353	357	134	,	,	PUNCT
ejpam-4353	357	135	ω4	ω4	NUM
ejpam-4353	357	136	,	,	PUNCT
ejpam-4353	357	137	ω5	ω5	NOUN
ejpam-4353	357	138	}	}	PUNCT
ejpam-4353	357	139	)	)	PUNCT
ejpam-4353	357	140	}	}	PUNCT
ejpam-4353	357	141	,	,	PUNCT
ejpam-4353	357	142	(	(	PUNCT
ejpam-4353	357	143	θ5,λ5	θ5,λ5	PROPN
ejpam-4353	357	144	,	,	PUNCT
ejpam-4353	357	145	ς	ς	NOUN
ejpam-4353	357	146	)	)	PUNCT
ejpam-4353	357	147	c	c	NOUN
ejpam-4353	357	148	=	=	SYM
ejpam-4353	357	149	{	{	PUNCT
ejpam-4353	357	150	(	(	PUNCT
ejpam-4353	357	151	ϱ3	ϱ3	PROPN
ejpam-4353	357	152	,	,	PUNCT
ejpam-4353	357	153	ϕ	ϕ	NOUN
ejpam-4353	357	154	,	,	PUNCT
ejpam-4353	357	155	{	{	PUNCT
ejpam-4353	357	156	ω1	ω1	PROPN
ejpam-4353	357	157	,	,	PUNCT
ejpam-4353	357	158	ω2	ω2	ADJ
ejpam-4353	357	159	,	,	PUNCT
ejpam-4353	357	160	ω4	ω4	NUM
ejpam-4353	357	161	,	,	PUNCT
ejpam-4353	357	162	ω5	ω5	NOUN
ejpam-4353	357	163	}	}	PUNCT
ejpam-4353	357	164	)	)	PUNCT
ejpam-4353	357	165	,	,	PUNCT
ejpam-4353	357	166	(	(	PUNCT
ejpam-4353	357	167	ϱ4	ϱ4	NOUN
ejpam-4353	357	168	,	,	PUNCT
ejpam-4353	357	169	ϕ	ϕ	NOUN
ejpam-4353	357	170	,	,	PUNCT
ejpam-4353	357	171	{	{	PUNCT
ejpam-4353	357	172	ω1	ω1	PROPN
ejpam-4353	357	173	,	,	PUNCT
ejpam-4353	357	174	ω2	ω2	ADJ
ejpam-4353	357	175	,	,	PUNCT
ejpam-4353	357	176	ω4	ω4	NUM
ejpam-4353	357	177	,	,	PUNCT
ejpam-4353	357	178	ω5	ω5	NOUN
ejpam-4353	357	179	}	}	PUNCT
ejpam-4353	357	180	)	)	PUNCT
ejpam-4353	357	181	}	}	PUNCT
ejpam-4353	357	182	and	and	CCONJ
ejpam-4353	357	183	(	(	PUNCT
ejpam-4353	357	184	θ6,λ6	θ6,λ6	PROPN
ejpam-4353	357	185	,	,	PUNCT
ejpam-4353	357	186	ς	ς	NOUN
ejpam-4353	357	187	)	)	PUNCT
ejpam-4353	357	188	c	c	NOUN
ejpam-4353	357	189	=	=	SYM
ejpam-4353	357	190	{	{	PUNCT
ejpam-4353	357	191	(	(	PUNCT
ejpam-4353	357	192	ϱ3	ϱ3	PROPN
ejpam-4353	357	193	,	,	PUNCT
ejpam-4353	357	194	{	{	PUNCT
ejpam-4353	357	195	ω2	ω2	ADV
ejpam-4353	357	196	}	}	PUNCT
ejpam-4353	357	197	,	,	PUNCT
ejpam-4353	357	198	{	{	PUNCT
ejpam-4353	357	199	ω1	ω1	PROPN
ejpam-4353	357	200	,	,	PUNCT
ejpam-4353	357	201	ω4	ω4	NUM
ejpam-4353	357	202	,	,	PUNCT
ejpam-4353	357	203	ω5	ω5	NOUN
ejpam-4353	357	204	}	}	PUNCT
ejpam-4353	357	205	)	)	PUNCT
ejpam-4353	357	206	,	,	PUNCT
ejpam-4353	357	207	(	(	PUNCT
ejpam-4353	357	208	ϱ4{ω2	ϱ4{ω2	PROPN
ejpam-4353	357	209	}	}	PUNCT
ejpam-4353	357	210	,	,	PUNCT
ejpam-4353	357	211	{	{	PUNCT
ejpam-4353	357	212	ω1	ω1	PROPN
ejpam-4353	357	213	,	,	PUNCT
ejpam-4353	357	214	ω4	ω4	NUM
ejpam-4353	357	215	,	,	PUNCT
ejpam-4353	357	216	ω5	ω5	NOUN
ejpam-4353	357	217	}	}	PUNCT
ejpam-4353	357	218	)	)	PUNCT
ejpam-4353	357	219	}	}	PUNCT
ejpam-4353	357	220	.	.	PUNCT
ejpam-4353	358	1	to	to	PART
ejpam-4353	358	2	show	show	VERB
ejpam-4353	358	3	the	the	DET
ejpam-4353	358	4	converse	converse	NOUN
ejpam-4353	358	5	of	of	ADP
ejpam-4353	358	6	(	(	PUNCT
ejpam-4353	358	7	v	v	NOUN
ejpam-4353	358	8	)	)	PUNCT
ejpam-4353	358	9	.	.	PUNCT
ejpam-4353	359	1	let	let	VERB
ejpam-4353	359	2	(	(	PUNCT
ejpam-4353	359	3	χ1	χ1	NOUN
ejpam-4353	359	4	,	,	PUNCT
ejpam-4353	359	5	ψ1	ψ1	NOUN
ejpam-4353	359	6	,	,	PUNCT
ejpam-4353	359	7	ς	ς	NOUN
ejpam-4353	359	8	)	)	PUNCT
ejpam-4353	359	9	=	=	SYM
ejpam-4353	359	10	{	{	PUNCT
ejpam-4353	359	11	(	(	PUNCT
ejpam-4353	359	12	ϱ3	ϱ3	PROPN
ejpam-4353	359	13	,	,	PUNCT
ejpam-4353	359	14	{	{	PUNCT
ejpam-4353	359	15	ω2	ω2	ADJ
ejpam-4353	359	16	,	,	PUNCT
ejpam-4353	359	17	ω4	ω4	NUM
ejpam-4353	359	18	,	,	PUNCT
ejpam-4353	359	19	ω5	ω5	PROPN
ejpam-4353	359	20	}	}	PUNCT
ejpam-4353	359	21	,	,	PUNCT
ejpam-4353	359	22	{	{	PUNCT
ejpam-4353	359	23	ω1	ω1	PROPN
ejpam-4353	359	24	,	,	PUNCT
ejpam-4353	359	25	ω3	ω3	ADJ
ejpam-4353	359	26	}	}	PUNCT
ejpam-4353	359	27	)	)	PUNCT
ejpam-4353	359	28	,	,	PUNCT
ejpam-4353	359	29	(	(	PUNCT
ejpam-4353	359	30	ϱ4	ϱ4	NOUN
ejpam-4353	359	31	,	,	PUNCT
ejpam-4353	359	32	{	{	PUNCT
ejpam-4353	359	33	ω2	ω2	ADJ
ejpam-4353	359	34	,	,	PUNCT
ejpam-4353	359	35	ω4	ω4	NUM
ejpam-4353	359	36	,	,	PUNCT
ejpam-4353	359	37	ω5	ω5	PROPN
ejpam-4353	359	38	}	}	PUNCT
ejpam-4353	359	39	,	,	PUNCT
ejpam-4353	359	40	{	{	PUNCT
ejpam-4353	359	41	ω1	ω1	PROPN
ejpam-4353	359	42	,	,	PUNCT
ejpam-4353	359	43	ω3	ω3	ADJ
ejpam-4353	359	44	}	}	PUNCT
ejpam-4353	359	45	)	)	PUNCT
ejpam-4353	359	46	}	}	PUNCT
ejpam-4353	359	47	and	and	CCONJ
ejpam-4353	359	48	(	(	PUNCT
ejpam-4353	359	49	χ2	χ2	PROPN
ejpam-4353	359	50	,	,	PUNCT
ejpam-4353	359	51	ψ2	ψ2	NOUN
ejpam-4353	359	52	,	,	PUNCT
ejpam-4353	359	53	ς	ς	NOUN
ejpam-4353	359	54	)	)	PUNCT
ejpam-4353	359	55	=	=	PRON
ejpam-4353	359	56	{	{	PUNCT
ejpam-4353	359	57	(	(	PUNCT
ejpam-4353	359	58	ϱ3	ϱ3	PROPN
ejpam-4353	359	59	,	,	PUNCT
ejpam-4353	359	60	{	{	PUNCT
ejpam-4353	359	61	ω1	ω1	PROPN
ejpam-4353	359	62	,	,	PUNCT
ejpam-4353	359	63	ω2	ω2	ADJ
ejpam-4353	359	64	,	,	PUNCT
ejpam-4353	359	65	ω4	ω4	NUM
ejpam-4353	359	66	}	}	PUNCT
ejpam-4353	359	67	,	,	PUNCT
ejpam-4353	359	68	{	{	PUNCT
ejpam-4353	359	69	ω5	ω5	NOUN
ejpam-4353	359	70	}	}	PUNCT
ejpam-4353	359	71	)	)	PUNCT
ejpam-4353	359	72	,	,	PUNCT
ejpam-4353	359	73	(	(	PUNCT
ejpam-4353	359	74	ϱ4	ϱ4	NOUN
ejpam-4353	359	75	,	,	PUNCT
ejpam-4353	359	76	{	{	PUNCT
ejpam-4353	359	77	ω1	ω1	PROPN
ejpam-4353	359	78	,	,	PUNCT
ejpam-4353	359	79	ω2	ω2	ADJ
ejpam-4353	359	80	,	,	PUNCT
ejpam-4353	359	81	ω4	ω4	NUM
ejpam-4353	359	82	}	}	PUNCT
ejpam-4353	359	83	,	,	PUNCT
ejpam-4353	359	84	{	{	PUNCT
ejpam-4353	359	85	ω5	ω5	NOUN
ejpam-4353	359	86	}	}	PUNCT
ejpam-4353	359	87	)	)	PUNCT
ejpam-4353	359	88	}	}	PUNCT
ejpam-4353	359	89	.	.	PUNCT
ejpam-4353	360	1	so	so	ADV
ejpam-4353	360	2	,	,	PUNCT
ejpam-4353	360	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	360	4	(	(	PUNCT
ejpam-4353	360	5	χ1	χ1	NOUN
ejpam-4353	360	6	,	,	PUNCT
ejpam-4353	360	7	ψ1	ψ1	NOUN
ejpam-4353	360	8	,	,	PUNCT
ejpam-4353	360	9	ς	ς	NOUN
ejpam-4353	360	10	)	)	PUNCT
ejpam-4353	360	11	=	=	SYM
ejpam-4353	360	12	(	(	PUNCT
ejpam-4353	360	13	˜̃	˜̃	NOUN
ejpam-4353	360	14	ω	ω	PROPN
ejpam-4353	360	15	,	,	PUNCT
ejpam-4353	360	16	φ	φ	PROPN
ejpam-4353	360	17	,	,	PUNCT
ejpam-4353	360	18	ς	ς	PROPN
ejpam-4353	360	19	)	)	PUNCT
ejpam-4353	360	20	and	and	CCONJ
ejpam-4353	360	21	c˜̃g	c˜̃g	PROPN
ejpam-4353	360	22	(	(	PUNCT
ejpam-4353	360	23	χ2	χ2	PROPN
ejpam-4353	360	24	,	,	PUNCT
ejpam-4353	360	25	ψ2	ψ2	NOUN
ejpam-4353	360	26	,	,	PUNCT
ejpam-4353	360	27	ς	ς	NOUN
ejpam-4353	360	28	)	)	PUNCT
ejpam-4353	360	29	=	=	SYM
ejpam-4353	360	30	(	(	PUNCT
ejpam-4353	360	31	˜̃	˜̃	NOUN
ejpam-4353	360	32	ω	ω	PROPN
ejpam-4353	360	33	,	,	PUNCT
ejpam-4353	360	34	φ	φ	PROPN
ejpam-4353	360	35	,	,	PUNCT
ejpam-4353	360	36	ς	ς	PROPN
ejpam-4353	360	37	)	)	PUNCT
ejpam-4353	360	38	.	.	PUNCT
ejpam-4353	361	1	hence	hence	ADV
ejpam-4353	361	2	,	,	PUNCT
ejpam-4353	361	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	361	4	(	(	PUNCT
ejpam-4353	361	5	χ1	χ1	NOUN
ejpam-4353	361	6	,	,	PUNCT
ejpam-4353	361	7	ψ1	ψ1	NOUN
ejpam-4353	361	8	,	,	PUNCT
ejpam-4353	361	9	ς	ς	NOUN
ejpam-4353	361	10	)	)	PUNCT
ejpam-4353	361	11	˜̃∩	˜̃∩	ADV
ejpam-4353	361	12	c˜̃g	c˜̃g	PROPN
ejpam-4353	361	13	(	(	PUNCT
ejpam-4353	361	14	χ2	χ2	PROPN
ejpam-4353	361	15	,	,	PUNCT
ejpam-4353	361	16	ψ2	ψ2	NOUN
ejpam-4353	361	17	,	,	PUNCT
ejpam-4353	361	18	ς	ς	NOUN
ejpam-4353	361	19	)	)	PUNCT
ejpam-4353	361	20	=	=	SYM
ejpam-4353	361	21	(	(	PUNCT
ejpam-4353	361	22	˜̃	˜̃	NOUN
ejpam-4353	361	23	ω	ω	PROPN
ejpam-4353	361	24	,	,	PUNCT
ejpam-4353	361	25	φ	φ	PROPN
ejpam-4353	361	26	,	,	PUNCT
ejpam-4353	361	27	ς	ς	PROPN
ejpam-4353	361	28	)	)	PUNCT
ejpam-4353	361	29	.	.	PUNCT
ejpam-4353	362	1	also	also	ADV
ejpam-4353	362	2	,	,	PUNCT
ejpam-4353	362	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	362	4	(	(	PUNCT
ejpam-4353	362	5	(	(	PUNCT
ejpam-4353	362	6	χ1	χ1	NOUN
ejpam-4353	362	7	,	,	PUNCT
ejpam-4353	362	8	ψ1	ψ1	NOUN
ejpam-4353	362	9	,	,	PUNCT
ejpam-4353	362	10	ς	ς	NOUN
ejpam-4353	362	11	)	)	PUNCT
ejpam-4353	362	12	˜̃∩(χ2	˜̃∩(χ2	NOUN
ejpam-4353	362	13	,	,	PUNCT
ejpam-4353	362	14	ψ2	ψ2	NOUN
ejpam-4353	362	15	,	,	PUNCT
ejpam-4353	362	16	ς	ς	NOUN
ejpam-4353	362	17	)	)	PUNCT
ejpam-4353	362	18	)	)	PUNCT
ejpam-4353	363	1	=	=	SYM
ejpam-4353	363	2	c˜̃g	c˜̃g	NOUN
ejpam-4353	363	3	(	(	PUNCT
ejpam-4353	363	4	{	{	PUNCT
ejpam-4353	363	5	(	(	PUNCT
ejpam-4353	363	6	ϱ3	ϱ3	PROPN
ejpam-4353	363	7	,	,	PUNCT
ejpam-4353	363	8	{	{	PUNCT
ejpam-4353	363	9	ω2	ω2	ADJ
ejpam-4353	363	10	,	,	PUNCT
ejpam-4353	363	11	ω4	ω4	NUM
ejpam-4353	363	12	}	}	PUNCT
ejpam-4353	363	13	,	,	PUNCT
ejpam-4353	363	14	{	{	PUNCT
ejpam-4353	363	15	ω1	ω1	PROPN
ejpam-4353	363	16	,	,	PUNCT
ejpam-4353	363	17	ω3	ω3	PROPN
ejpam-4353	363	18	,	,	PUNCT
ejpam-4353	363	19	ω5	ω5	NOUN
ejpam-4353	363	20	}	}	PUNCT
ejpam-4353	363	21	)	)	PUNCT
ejpam-4353	363	22	,	,	PUNCT
ejpam-4353	363	23	(	(	PUNCT
ejpam-4353	363	24	ϱ4	ϱ4	NOUN
ejpam-4353	363	25	,	,	PUNCT
ejpam-4353	363	26	{	{	PUNCT
ejpam-4353	363	27	ω2	ω2	ADJ
ejpam-4353	363	28	,	,	PUNCT
ejpam-4353	363	29	ω4	ω4	NUM
ejpam-4353	363	30	}	}	PUNCT
ejpam-4353	363	31	,	,	PUNCT
ejpam-4353	363	32	{	{	PUNCT
ejpam-4353	363	33	ω1	ω1	PROPN
ejpam-4353	363	34	,	,	PUNCT
ejpam-4353	363	35	ω3	ω3	PROPN
ejpam-4353	363	36	,	,	PUNCT
ejpam-4353	363	37	ω5	ω5	NOUN
ejpam-4353	363	38	}	}	PUNCT
ejpam-4353	363	39	)	)	PUNCT
ejpam-4353	363	40	}	}	PUNCT
ejpam-4353	363	41	)	)	PUNCT
ejpam-4353	364	1	=	=	SYM
ejpam-4353	364	2	(	(	PUNCT
ejpam-4353	364	3	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	364	4	,	,	PUNCT
ejpam-4353	364	5	ς	ς	PROPN
ejpam-4353	364	6	)	)	PUNCT
ejpam-4353	364	7	c.	c.	NOUN
ejpam-4353	364	8	thus	thus	ADV
ejpam-4353	364	9	,	,	PUNCT
ejpam-4353	364	10	c˜̃g	c˜̃g	PROPN
ejpam-4353	364	11	(	(	PUNCT
ejpam-4353	364	12	χ1	χ1	NOUN
ejpam-4353	364	13	,	,	PUNCT
ejpam-4353	364	14	ψ1	ψ1	NOUN
ejpam-4353	364	15	,	,	PUNCT
ejpam-4353	364	16	ς	ς	NOUN
ejpam-4353	364	17	)	)	PUNCT
ejpam-4353	364	18	˜̃∩	˜̃∩	ADV
ejpam-4353	364	19	c˜̃g	c˜̃g	PROPN
ejpam-4353	364	20	(	(	PUNCT
ejpam-4353	364	21	χ2	χ2	PROPN
ejpam-4353	364	22	,	,	PUNCT
ejpam-4353	364	23	ψ2	ψ2	NOUN
ejpam-4353	364	24	,	,	PUNCT
ejpam-4353	364	25	ς	ς	NOUN
ejpam-4353	364	26	)	)	PUNCT
ejpam-4353	364	27	̸=	̸=	PROPN
ejpam-4353	364	28	c˜̃g	c˜̃g	NOUN
ejpam-4353	364	29	(	(	PUNCT
ejpam-4353	364	30	(	(	PUNCT
ejpam-4353	364	31	χ1	χ1	NOUN
ejpam-4353	364	32	,	,	PUNCT
ejpam-4353	364	33	ψ1	ψ1	NOUN
ejpam-4353	364	34	,	,	PUNCT
ejpam-4353	364	35	ς	ς	NOUN
ejpam-4353	364	36	)	)	PUNCT
ejpam-4353	364	37	˜̃∩	˜̃∩	ADV
ejpam-4353	364	38	(	(	PUNCT
ejpam-4353	364	39	χ2	χ2	PROPN
ejpam-4353	364	40	,	,	PUNCT
ejpam-4353	364	41	ψ2	ψ2	NOUN
ejpam-4353	364	42	,	,	PUNCT
ejpam-4353	364	43	ς	ς	NOUN
ejpam-4353	364	44	)	)	PUNCT
ejpam-4353	364	45	)	)	PUNCT
ejpam-4353	364	46	.	.	PUNCT
ejpam-4353	365	1	now	now	ADV
ejpam-4353	365	2	,	,	PUNCT
ejpam-4353	365	3	to	to	PART
ejpam-4353	365	4	show	show	VERB
ejpam-4353	365	5	the	the	DET
ejpam-4353	365	6	converse	converse	NOUN
ejpam-4353	365	7	of	of	ADP
ejpam-4353	365	8	(	(	PUNCT
ejpam-4353	365	9	vi	vi	NOUN
ejpam-4353	365	10	)	)	PUNCT
ejpam-4353	365	11	.	.	PUNCT
ejpam-4353	366	1	let	let	VERB
ejpam-4353	366	2	(	(	PUNCT
ejpam-4353	366	3	χ1	χ1	NOUN
ejpam-4353	366	4	,	,	PUNCT
ejpam-4353	366	5	ψ1	ψ1	NOUN
ejpam-4353	366	6	,	,	PUNCT
ejpam-4353	366	7	ς	ς	NOUN
ejpam-4353	366	8	)	)	PUNCT
ejpam-4353	366	9	=	=	SYM
ejpam-4353	366	10	{	{	PUNCT
ejpam-4353	366	11	(	(	PUNCT
ejpam-4353	366	12	ϱ3	ϱ3	PROPN
ejpam-4353	366	13	,	,	PUNCT
ejpam-4353	366	14	{	{	PUNCT
ejpam-4353	366	15	ω1	ω1	PROPN
ejpam-4353	366	16	,	,	PUNCT
ejpam-4353	366	17	ω5	ω5	PROPN
ejpam-4353	366	18	}	}	PUNCT
ejpam-4353	366	19	,	,	PUNCT
ejpam-4353	366	20	{	{	PUNCT
ejpam-4353	366	21	ω2	ω2	ADJ
ejpam-4353	366	22	,	,	PUNCT
ejpam-4353	366	23	ω4	ω4	NUM
ejpam-4353	366	24	}	}	PUNCT
ejpam-4353	366	25	)	)	PUNCT
ejpam-4353	366	26	,	,	PUNCT
ejpam-4353	366	27	(	(	PUNCT
ejpam-4353	366	28	ϱ4	ϱ4	NOUN
ejpam-4353	366	29	,	,	PUNCT
ejpam-4353	366	30	{	{	PUNCT
ejpam-4353	366	31	ω1	ω1	PROPN
ejpam-4353	366	32	,	,	PUNCT
ejpam-4353	366	33	ω5	ω5	PROPN
ejpam-4353	366	34	}	}	PUNCT
ejpam-4353	366	35	,	,	PUNCT
ejpam-4353	366	36	{	{	PUNCT
ejpam-4353	366	37	ω2	ω2	ADJ
ejpam-4353	366	38	,	,	PUNCT
ejpam-4353	366	39	ω4	ω4	NUM
ejpam-4353	366	40	}	}	PUNCT
ejpam-4353	366	41	)	)	PUNCT
ejpam-4353	366	42	}	}	PUNCT
ejpam-4353	366	43	,	,	PUNCT
ejpam-4353	366	44	and	and	CCONJ
ejpam-4353	366	45	(	(	PUNCT
ejpam-4353	366	46	χ2	χ2	PROPN
ejpam-4353	366	47	,	,	PUNCT
ejpam-4353	366	48	ψ2	ψ2	NOUN
ejpam-4353	366	49	,	,	PUNCT
ejpam-4353	366	50	ς	ς	NOUN
ejpam-4353	366	51	)	)	PUNCT
ejpam-4353	366	52	=	=	PRON
ejpam-4353	366	53	{	{	PUNCT
ejpam-4353	366	54	(	(	PUNCT
ejpam-4353	366	55	ϱ3	ϱ3	PROPN
ejpam-4353	366	56	,	,	PUNCT
ejpam-4353	366	57	{	{	PUNCT
ejpam-4353	366	58	ω2	ω2	ADJ
ejpam-4353	366	59	,	,	PUNCT
ejpam-4353	366	60	ω3	ω3	PROPN
ejpam-4353	366	61	}	}	PUNCT
ejpam-4353	366	62	,	,	PUNCT
ejpam-4353	366	63	{	{	PUNCT
ejpam-4353	366	64	ω1	ω1	PROPN
ejpam-4353	366	65	,	,	PUNCT
ejpam-4353	366	66	ω4	ω4	NUM
ejpam-4353	366	67	,	,	PUNCT
ejpam-4353	366	68	ω5	ω5	NOUN
ejpam-4353	366	69	}	}	PUNCT
ejpam-4353	366	70	)	)	PUNCT
ejpam-4353	366	71	,	,	PUNCT
ejpam-4353	366	72	(	(	PUNCT
ejpam-4353	366	73	ϱ4	ϱ4	NOUN
ejpam-4353	366	74	,	,	PUNCT
ejpam-4353	366	75	{	{	PUNCT
ejpam-4353	366	76	ω2	ω2	ADJ
ejpam-4353	366	77	,	,	PUNCT
ejpam-4353	366	78	ω3	ω3	PROPN
ejpam-4353	366	79	}	}	PUNCT
ejpam-4353	366	80	,	,	PUNCT
ejpam-4353	366	81	{	{	PUNCT
ejpam-4353	366	82	ω1	ω1	PROPN
ejpam-4353	366	83	,	,	PUNCT
ejpam-4353	366	84	ω4	ω4	NUM
ejpam-4353	366	85	,	,	PUNCT
ejpam-4353	366	86	ω5	ω5	NOUN
ejpam-4353	366	87	}	}	PUNCT
ejpam-4353	366	88	)	)	PUNCT
ejpam-4353	366	89	}	}	PUNCT
ejpam-4353	366	90	.	.	PUNCT
ejpam-4353	367	1	then	then	ADV
ejpam-4353	367	2	c˜̃g	c˜̃g	PROPN
ejpam-4353	367	3	(	(	PUNCT
ejpam-4353	367	4	χ1	χ1	NOUN
ejpam-4353	367	5	,	,	PUNCT
ejpam-4353	367	6	ψ1	ψ1	NOUN
ejpam-4353	367	7	,	,	PUNCT
ejpam-4353	367	8	ς	ς	NOUN
ejpam-4353	367	9	)	)	PUNCT
ejpam-4353	367	10	=	=	SYM
ejpam-4353	367	11	(	(	PUNCT
ejpam-4353	367	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	367	13	,	,	PUNCT
ejpam-4353	367	14	ς	ς	NOUN
ejpam-4353	367	15	)	)	PUNCT
ejpam-4353	367	16	c	c	NOUN
ejpam-4353	367	17	and	and	CCONJ
ejpam-4353	367	18	c˜̃g	c˜̃g	PROPN
ejpam-4353	367	19	(	(	PUNCT
ejpam-4353	367	20	χ2	χ2	PROPN
ejpam-4353	367	21	,	,	PUNCT
ejpam-4353	367	22	ψ2	ψ2	NOUN
ejpam-4353	367	23	,	,	PUNCT
ejpam-4353	367	24	ς	ς	NOUN
ejpam-4353	367	25	)	)	PUNCT
ejpam-4353	367	26	=	=	SYM
ejpam-4353	367	27	(	(	PUNCT
ejpam-4353	367	28	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	367	29	,	,	PUNCT
ejpam-4353	367	30	ς	ς	NOUN
ejpam-4353	367	31	)	)	PUNCT
ejpam-4353	367	32	c.	c.	NOUN
ejpam-4353	367	33	thus	thus	ADV
ejpam-4353	367	34	,	,	PUNCT
ejpam-4353	367	35	c˜̃g	c˜̃g	PROPN
ejpam-4353	367	36	(	(	PUNCT
ejpam-4353	367	37	χ1	χ1	NOUN
ejpam-4353	367	38	,	,	PUNCT
ejpam-4353	367	39	ψ1	ψ1	NOUN
ejpam-4353	367	40	,	,	PUNCT
ejpam-4353	367	41	ς	ς	NOUN
ejpam-4353	367	42	)	)	PUNCT
ejpam-4353	367	43	˜̃∪	˜̃∪	PROPN
ejpam-4353	367	44	c˜̃g	c˜̃g	PROPN
ejpam-4353	367	45	(	(	PUNCT
ejpam-4353	367	46	χ2	χ2	PROPN
ejpam-4353	367	47	,	,	PUNCT
ejpam-4353	367	48	ψ2	ψ2	NOUN
ejpam-4353	367	49	,	,	PUNCT
ejpam-4353	367	50	ς	ς	NOUN
ejpam-4353	367	51	)	)	PUNCT
ejpam-4353	367	52	=	=	SYM
ejpam-4353	367	53	(	(	PUNCT
ejpam-4353	367	54	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	367	55	,	,	PUNCT
ejpam-4353	367	56	ς	ς	PROPN
ejpam-4353	367	57	)	)	PUNCT
ejpam-4353	367	58	c	c	PROPN
ejpam-4353	367	59	˜̃∪	˜̃∪	PROPN
ejpam-4353	367	60	(	(	PUNCT
ejpam-4353	367	61	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	367	62	,	,	PUNCT
ejpam-4353	367	63	ς	ς	NOUN
ejpam-4353	367	64	)	)	PUNCT
ejpam-4353	367	65	c	c	NOUN
ejpam-4353	367	66	=	=	SYM
ejpam-4353	367	67	{	{	PUNCT
ejpam-4353	367	68	(	(	PUNCT
ejpam-4353	367	69	ϱ3	ϱ3	PROPN
ejpam-4353	367	70	,	,	PUNCT
ejpam-4353	367	71	{	{	PUNCT
ejpam-4353	367	72	ω1	ω1	PROPN
ejpam-4353	367	73	,	,	PUNCT
ejpam-4353	367	74	ω2	ω2	ADJ
ejpam-4353	367	75	,	,	PUNCT
ejpam-4353	367	76	ω3	ω3	NOUN
ejpam-4353	367	77	,	,	PUNCT
ejpam-4353	367	78	ω5	ω5	PROPN
ejpam-4353	367	79	}	}	PUNCT
ejpam-4353	367	80	,	,	PUNCT
ejpam-4353	367	81	{	{	PUNCT
ejpam-4353	367	82	ω4	ω4	NUM
ejpam-4353	367	83	}	}	PUNCT
ejpam-4353	367	84	)	)	PUNCT
ejpam-4353	367	85	,	,	PUNCT
ejpam-4353	367	86	(	(	PUNCT
ejpam-4353	367	87	ϱ4	ϱ4	NOUN
ejpam-4353	367	88	,	,	PUNCT
ejpam-4353	367	89	{	{	PUNCT
ejpam-4353	367	90	ω1	ω1	PROPN
ejpam-4353	367	91	,	,	PUNCT
ejpam-4353	367	92	ω2	ω2	ADJ
ejpam-4353	367	93	,	,	PUNCT
ejpam-4353	367	94	ω3	ω3	NOUN
ejpam-4353	367	95	,	,	PUNCT
ejpam-4353	367	96	ω5	ω5	PROPN
ejpam-4353	367	97	}	}	PUNCT
ejpam-4353	367	98	,	,	PUNCT
ejpam-4353	367	99	{	{	PUNCT
ejpam-4353	367	100	ω4	ω4	NUM
ejpam-4353	367	101	}	}	PUNCT
ejpam-4353	367	102	)	)	PUNCT
ejpam-4353	367	103	}	}	PUNCT
ejpam-4353	367	104	.	.	PUNCT
ejpam-4353	368	1	but	but	CCONJ
ejpam-4353	368	2	(	(	PUNCT
ejpam-4353	368	3	χ1	χ1	NOUN
ejpam-4353	368	4	,	,	PUNCT
ejpam-4353	368	5	ψ1	ψ1	NOUN
ejpam-4353	368	6	,	,	PUNCT
ejpam-4353	368	7	ς	ς	NOUN
ejpam-4353	368	8	)	)	PUNCT
ejpam-4353	368	9	˜̃∪	˜̃∪	PROPN
ejpam-4353	368	10	(	(	PUNCT
ejpam-4353	368	11	χ2	χ2	PROPN
ejpam-4353	368	12	,	,	PUNCT
ejpam-4353	368	13	ψ2	ψ2	NOUN
ejpam-4353	368	14	,	,	PUNCT
ejpam-4353	368	15	ς	ς	NOUN
ejpam-4353	368	16	)	)	PUNCT
ejpam-4353	368	17	=	=	PRON
ejpam-4353	368	18	{	{	PUNCT
ejpam-4353	368	19	(	(	PUNCT
ejpam-4353	368	20	ϱ3	ϱ3	PROPN
ejpam-4353	368	21	,	,	PUNCT
ejpam-4353	368	22	{	{	PUNCT
ejpam-4353	368	23	ω1	ω1	PROPN
ejpam-4353	368	24	,	,	PUNCT
ejpam-4353	368	25	ω2	ω2	ADJ
ejpam-4353	368	26	,	,	PUNCT
ejpam-4353	368	27	ω3	ω3	NOUN
ejpam-4353	368	28	,	,	PUNCT
ejpam-4353	368	29	ω5	ω5	PROPN
ejpam-4353	368	30	}	}	PUNCT
ejpam-4353	368	31	,	,	PUNCT
ejpam-4353	368	32	{	{	PUNCT
ejpam-4353	368	33	ω4	ω4	NUM
ejpam-4353	368	34	}	}	PUNCT
ejpam-4353	368	35	)	)	PUNCT
ejpam-4353	368	36	,	,	PUNCT
ejpam-4353	368	37	(	(	PUNCT
ejpam-4353	368	38	ϱ4	ϱ4	NOUN
ejpam-4353	368	39	,	,	PUNCT
ejpam-4353	368	40	{	{	PUNCT
ejpam-4353	368	41	ω1	ω1	PROPN
ejpam-4353	368	42	,	,	PUNCT
ejpam-4353	368	43	ω2	ω2	ADJ
ejpam-4353	368	44	,	,	PUNCT
ejpam-4353	368	45	ω3	ω3	NOUN
ejpam-4353	368	46	,	,	PUNCT
ejpam-4353	368	47	ω5	ω5	PROPN
ejpam-4353	368	48	}	}	PUNCT
ejpam-4353	368	49	,	,	PUNCT
ejpam-4353	368	50	{	{	PUNCT
ejpam-4353	368	51	ω4	ω4	NUM
ejpam-4353	368	52	}	}	PUNCT
ejpam-4353	368	53	)	)	PUNCT
ejpam-4353	368	54	}	}	PUNCT
ejpam-4353	368	55	.	.	PUNCT
ejpam-4353	369	1	hence	hence	ADV
ejpam-4353	369	2	,	,	PUNCT
ejpam-4353	369	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	369	4	(	(	PUNCT
ejpam-4353	369	5	(	(	PUNCT
ejpam-4353	369	6	χ1	χ1	NOUN
ejpam-4353	369	7	,	,	PUNCT
ejpam-4353	369	8	ψ1	ψ1	NOUN
ejpam-4353	369	9	,	,	PUNCT
ejpam-4353	369	10	ς	ς	NOUN
ejpam-4353	369	11	)	)	PUNCT
ejpam-4353	369	12	˜̃∪	˜̃∪	PROPN
ejpam-4353	369	13	(	(	PUNCT
ejpam-4353	369	14	χ2	χ2	PROPN
ejpam-4353	369	15	,	,	PUNCT
ejpam-4353	369	16	ψ2	ψ2	NOUN
ejpam-4353	369	17	,	,	PUNCT
ejpam-4353	369	18	ς	ς	NOUN
ejpam-4353	369	19	)	)	PUNCT
ejpam-4353	369	20	)	)	PUNCT
ejpam-4353	370	1	=	=	PRON
ejpam-4353	370	2	(	(	PUNCT
ejpam-4353	370	3	˜̃	˜̃	NOUN
ejpam-4353	370	4	ω	ω	PROPN
ejpam-4353	370	5	,	,	PUNCT
ejpam-4353	370	6	φ	φ	PROPN
ejpam-4353	370	7	,	,	PUNCT
ejpam-4353	370	8	ς	ς	PROPN
ejpam-4353	370	9	)	)	PUNCT
ejpam-4353	370	10	.	.	PUNCT
ejpam-4353	371	1	therefore	therefore	ADV
ejpam-4353	371	2	,	,	PUNCT
ejpam-4353	371	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	371	4	(	(	PUNCT
ejpam-4353	371	5	(	(	PUNCT
ejpam-4353	371	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	371	7	,	,	PUNCT
ejpam-4353	371	8	ς	ς	PROPN
ejpam-4353	371	9	)	)	PUNCT
ejpam-4353	371	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	371	11	(	(	PUNCT
ejpam-4353	371	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	371	13	,	,	PUNCT
ejpam-4353	371	14	ς	ς	NOUN
ejpam-4353	371	15	)	)	PUNCT
ejpam-4353	371	16	̸=	̸=	PROPN
ejpam-4353	371	17	c˜̃g	c˜̃g	PROPN
ejpam-4353	371	18	(	(	PUNCT
ejpam-4353	371	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	371	20	,	,	PUNCT
ejpam-4353	371	21	ς	ς	PROPN
ejpam-4353	371	22	)	)	PUNCT
ejpam-4353	371	23	˜̃∪	˜̃∪	PROPN
ejpam-4353	371	24	c˜̃g	c˜̃g	PROPN
ejpam-4353	371	25	(	(	PUNCT
ejpam-4353	371	26	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	371	27	,	,	PUNCT
ejpam-4353	371	28	ς	ς	PROPN
ejpam-4353	371	29	)	)	PUNCT
ejpam-4353	371	30	.	.	PUNCT
ejpam-4353	372	1	h.	h.	PROPN
ejpam-4353	372	2	y.	y.	PROPN
ejpam-4353	372	3	saleh	saleh	PROPN
ejpam-4353	372	4	,	,	PUNCT
ejpam-4353	372	5	b.	b.	PROPN
ejpam-4353	372	6	a.	a.	PROPN
ejpam-4353	372	7	asaad	asaad	PROPN
ejpam-4353	372	8	,	,	PUNCT
ejpam-4353	372	9	r.	r.	PROPN
ejpam-4353	372	10	a.	a.	PROPN
ejpam-4353	372	11	mohammed	mohammed	PROPN
ejpam-4353	372	12	/	/	SYM
ejpam-4353	372	13	eur	eur	PROPN
ejpam-4353	372	14	.	.	PUNCT
ejpam-4353	373	1	j.	j.	PROPN
ejpam-4353	373	2	pure	pure	PROPN
ejpam-4353	373	3	appl	appl	PROPN
ejpam-4353	373	4	.	.	PROPN
ejpam-4353	373	5	math	math	PROPN
ejpam-4353	373	6	,	,	PUNCT
ejpam-4353	373	7	15	15	NUM
ejpam-4353	373	8	(	(	PUNCT
ejpam-4353	373	9	2	2	NUM
ejpam-4353	373	10	)	)	PUNCT
ejpam-4353	373	11	(	(	PUNCT
ejpam-4353	373	12	2022	2022	NUM
ejpam-4353	373	13	)	)	PUNCT
ejpam-4353	373	14	,	,	PUNCT
ejpam-4353	373	15	646	646	NUM
ejpam-4353	373	16	-	-	SYM
ejpam-4353	373	17	671	671	NUM
ejpam-4353	373	18	661	661	NUM
ejpam-4353	373	19	proposition	proposition	NOUN
ejpam-4353	373	20	2	2	NUM
ejpam-4353	373	21	.	.	PUNCT
ejpam-4353	374	1	let	let	VERB
ejpam-4353	374	2	(	(	PUNCT
ejpam-4353	374	3	ω	ω	NOUN
ejpam-4353	374	4	,	,	PUNCT
ejpam-4353	374	5	˜̃g	˜̃g	PROPN
ejpam-4353	374	6	,	,	PUNCT
ejpam-4353	374	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	374	8	)	)	PUNCT
ejpam-4353	374	9	be	be	VERB
ejpam-4353	374	10	a	a	DET
ejpam-4353	374	11	bsgt	bsgt	NOUN
ejpam-4353	374	12	s	s	PRON
ejpam-4353	374	13	and	and	CCONJ
ejpam-4353	374	14	(	(	PUNCT
ejpam-4353	374	15	θ	θ	PROPN
ejpam-4353	374	16	,	,	PUNCT
ejpam-4353	374	17	λ	λ	PROPN
ejpam-4353	374	18	,	,	PUNCT
ejpam-4353	374	19	ς	ς	PROPN
ejpam-4353	374	20	)	)	PUNCT
ejpam-4353	374	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	374	22	bss(ω	bss(ω	PROPN
ejpam-4353	374	23	)	)	PUNCT
ejpam-4353	374	24	.	.	PUNCT
ejpam-4353	375	1	then	then	ADV
ejpam-4353	375	2	i˜̃g	i˜̃g	VERB
ejpam-4353	375	3	(	(	PUNCT
ejpam-4353	375	4	θ	θ	PROPN
ejpam-4353	375	5	,	,	PUNCT
ejpam-4353	375	6	λ	λ	PROPN
ejpam-4353	375	7	,	,	PUNCT
ejpam-4353	375	8	ς)˜̃⊆	ς)˜̃⊆	PROPN
ejpam-4353	375	9	(	(	PUNCT
ejpam-4353	375	10	θ	θ	PROPN
ejpam-4353	375	11	,	,	PUNCT
ejpam-4353	375	12	λ	λ	PROPN
ejpam-4353	375	13	,	,	PUNCT
ejpam-4353	375	14	ς	ς	PROPN
ejpam-4353	375	15	)	)	PUNCT
ejpam-4353	375	16	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	375	17	c˜̃g	c˜̃g	PROPN
ejpam-4353	375	18	(	(	PUNCT
ejpam-4353	375	19	θ	θ	PROPN
ejpam-4353	375	20	,	,	PUNCT
ejpam-4353	375	21	λ	λ	PROPN
ejpam-4353	375	22	,	,	PUNCT
ejpam-4353	375	23	ς	ς	NOUN
ejpam-4353	375	24	)	)	PUNCT
ejpam-4353	375	25	.	.	PUNCT
ejpam-4353	376	1	theorem	theorem	VERB
ejpam-4353	376	2	9	9	NUM
ejpam-4353	376	3	.	.	PUNCT
ejpam-4353	377	1	let	let	VERB
ejpam-4353	377	2	(	(	PUNCT
ejpam-4353	377	3	ω	ω	NOUN
ejpam-4353	377	4	,	,	PUNCT
ejpam-4353	377	5	˜̃g	˜̃g	PROPN
ejpam-4353	377	6	,	,	PUNCT
ejpam-4353	377	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	377	8	)	)	PUNCT
ejpam-4353	377	9	be	be	VERB
ejpam-4353	377	10	a	a	DET
ejpam-4353	377	11	bsgt	bsgt	NOUN
ejpam-4353	377	12	s	s	PRON
ejpam-4353	377	13	and	and	CCONJ
ejpam-4353	377	14	(	(	PUNCT
ejpam-4353	377	15	θ	θ	PROPN
ejpam-4353	377	16	,	,	PUNCT
ejpam-4353	377	17	λ	λ	PROPN
ejpam-4353	377	18	,	,	PUNCT
ejpam-4353	377	19	ς	ς	PROPN
ejpam-4353	377	20	)	)	PUNCT
ejpam-4353	377	21	,	,	PUNCT
ejpam-4353	377	22	(	(	PUNCT
ejpam-4353	377	23	χ	χ	X
ejpam-4353	377	24	,	,	PUNCT
ejpam-4353	377	25	ψ	ψ	X
ejpam-4353	377	26	,	,	PUNCT
ejpam-4353	377	27	ς	ς	NOUN
ejpam-4353	377	28	)	)	PUNCT
ejpam-4353	377	29	˜̃∈	˜̃∈	PROPN
ejpam-4353	377	30	bss(ω	bss(ω	PROPN
ejpam-4353	377	31	)	)	PUNCT
ejpam-4353	377	32	.	.	PUNCT
ejpam-4353	378	1	then	then	ADV
ejpam-4353	378	2	(	(	PUNCT
ejpam-4353	378	3	i	i	NOUN
ejpam-4353	378	4	)	)	PUNCT
ejpam-4353	378	5	c˜̃g	c˜̃g	PROPN
ejpam-4353	378	6	(	(	PUNCT
ejpam-4353	378	7	θ	θ	PROPN
ejpam-4353	378	8	,	,	PUNCT
ejpam-4353	378	9	λ	λ	PROPN
ejpam-4353	378	10	,	,	PUNCT
ejpam-4353	378	11	ς)c	ς)c	NOUN
ejpam-4353	378	12	=	=	SYM
ejpam-4353	378	13	(	(	PUNCT
ejpam-4353	378	14	i˜̃g	i˜̃g	NOUN
ejpam-4353	378	15	(	(	PUNCT
ejpam-4353	378	16	θ	θ	PROPN
ejpam-4353	378	17	,	,	PUNCT
ejpam-4353	378	18	λ	λ	PROPN
ejpam-4353	378	19	,	,	PUNCT
ejpam-4353	378	20	ς))c	ς))c	NOUN
ejpam-4353	378	21	.	.	PUNCT
ejpam-4353	379	1	(	(	PUNCT
ejpam-4353	379	2	ii	ii	NOUN
ejpam-4353	379	3	)	)	PUNCT
ejpam-4353	379	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	379	5	(	(	PUNCT
ejpam-4353	379	6	θ	θ	PROPN
ejpam-4353	379	7	,	,	PUNCT
ejpam-4353	379	8	λ	λ	PROPN
ejpam-4353	379	9	,	,	PUNCT
ejpam-4353	379	10	ς)c	ς)c	NOUN
ejpam-4353	379	11	=	=	SYM
ejpam-4353	379	12	(	(	PUNCT
ejpam-4353	379	13	c˜̃g	c˜̃g	PROPN
ejpam-4353	379	14	(	(	PUNCT
ejpam-4353	379	15	θ	θ	PROPN
ejpam-4353	379	16	,	,	PUNCT
ejpam-4353	379	17	λ	λ	PROPN
ejpam-4353	379	18	,	,	PUNCT
ejpam-4353	379	19	ς))c	ς))c	NOUN
ejpam-4353	379	20	.	.	PUNCT
ejpam-4353	380	1	(	(	PUNCT
ejpam-4353	380	2	iii	iii	NOUN
ejpam-4353	380	3	)	)	PUNCT
ejpam-4353	380	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	380	5	(	(	PUNCT
ejpam-4353	380	6	θ	θ	NOUN
ejpam-4353	380	7	,	,	PUNCT
ejpam-4353	380	8	λ	λ	PROPN
ejpam-4353	380	9	,	,	PUNCT
ejpam-4353	380	10	ς	ς	NOUN
ejpam-4353	380	11	)	)	PUNCT
ejpam-4353	380	12	=	=	SYM
ejpam-4353	380	13	(	(	PUNCT
ejpam-4353	380	14	c˜̃g	c˜̃g	PROPN
ejpam-4353	380	15	(	(	PUNCT
ejpam-4353	380	16	θ	θ	PROPN
ejpam-4353	380	17	,	,	PUNCT
ejpam-4353	380	18	λ	λ	PROPN
ejpam-4353	380	19	,	,	PUNCT
ejpam-4353	380	20	ς)c)c	ς)c)c	PROPN
ejpam-4353	380	21	.	.	PUNCT
ejpam-4353	381	1	(	(	PUNCT
ejpam-4353	381	2	iv	iv	X
ejpam-4353	381	3	)	)	PUNCT
ejpam-4353	381	4	c˜̃g	c˜̃g	NOUN
ejpam-4353	381	5	(	(	PUNCT
ejpam-4353	381	6	θ	θ	PROPN
ejpam-4353	381	7	,	,	PUNCT
ejpam-4353	381	8	λ	λ	PROPN
ejpam-4353	381	9	,	,	PUNCT
ejpam-4353	381	10	ς	ς	NOUN
ejpam-4353	381	11	)	)	PUNCT
ejpam-4353	381	12	=	=	SYM
ejpam-4353	381	13	(	(	PUNCT
ejpam-4353	381	14	i˜̃g	i˜̃g	NOUN
ejpam-4353	381	15	(	(	PUNCT
ejpam-4353	381	16	θ	θ	PROPN
ejpam-4353	381	17	,	,	PUNCT
ejpam-4353	381	18	λ	λ	PROPN
ejpam-4353	381	19	,	,	PUNCT
ejpam-4353	381	20	ς)c)c	ς)c)c	PROPN
ejpam-4353	381	21	.	.	PUNCT
ejpam-4353	382	1	(	(	PUNCT
ejpam-4353	382	2	v	v	NOUN
ejpam-4353	382	3	)	)	PUNCT
ejpam-4353	382	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	382	5	(	(	PUNCT
ejpam-4353	382	6	(	(	PUNCT
ejpam-4353	382	7	θ	θ	NOUN
ejpam-4353	382	8	,	,	PUNCT
ejpam-4353	382	9	λ	λ	PROPN
ejpam-4353	382	10	,	,	PUNCT
ejpam-4353	382	11	ς	ς	NOUN
ejpam-4353	382	12	)	)	PUNCT
ejpam-4353	382	13	˜̃\	˜̃\	NOUN
ejpam-4353	382	14	(	(	PUNCT
ejpam-4353	382	15	χ	χ	NOUN
ejpam-4353	382	16	,	,	PUNCT
ejpam-4353	382	17	ψ	ψ	X
ejpam-4353	382	18	,	,	PUNCT
ejpam-4353	382	19	ς	ς	NOUN
ejpam-4353	382	20	)	)	PUNCT
ejpam-4353	382	21	)	)	PUNCT
ejpam-4353	383	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	383	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	383	3	(	(	PUNCT
ejpam-4353	383	4	θ	θ	PROPN
ejpam-4353	383	5	,	,	PUNCT
ejpam-4353	383	6	λ	λ	PROPN
ejpam-4353	383	7	,	,	PUNCT
ejpam-4353	383	8	ς	ς	NOUN
ejpam-4353	383	9	)	)	PUNCT
ejpam-4353	383	10	˜̃\	˜̃\	NOUN
ejpam-4353	383	11	i˜̃g	i˜̃g	NOUN
ejpam-4353	383	12	(	(	PUNCT
ejpam-4353	383	13	χ	χ	NOUN
ejpam-4353	383	14	,	,	PUNCT
ejpam-4353	383	15	ψ	ψ	X
ejpam-4353	383	16	,	,	PUNCT
ejpam-4353	383	17	ς	ς	NOUN
ejpam-4353	383	18	)	)	PUNCT
ejpam-4353	383	19	.	.	PUNCT
ejpam-4353	384	1	proof	proof	NOUN
ejpam-4353	384	2	.	.	PUNCT
ejpam-4353	385	1	it	it	PRON
ejpam-4353	385	2	is	be	AUX
ejpam-4353	385	3	enough	enough	ADJ
ejpam-4353	385	4	to	to	PART
ejpam-4353	385	5	prove	prove	VERB
ejpam-4353	385	6	only	only	ADV
ejpam-4353	385	7	parts	part	NOUN
ejpam-4353	385	8	(	(	PUNCT
ejpam-4353	385	9	i	i	NOUN
ejpam-4353	385	10	)	)	PUNCT
ejpam-4353	385	11	and	and	CCONJ
ejpam-4353	385	12	(	(	PUNCT
ejpam-4353	385	13	v	v	NOUN
ejpam-4353	385	14	)	)	PUNCT
ejpam-4353	385	15	since	since	SCONJ
ejpam-4353	385	16	the	the	DET
ejpam-4353	385	17	proof	proof	NOUN
ejpam-4353	385	18	of	of	ADP
ejpam-4353	385	19	other	other	ADJ
ejpam-4353	385	20	parts	part	NOUN
ejpam-4353	385	21	are	be	AUX
ejpam-4353	385	22	similar	similar	ADJ
ejpam-4353	385	23	.	.	PUNCT
ejpam-4353	386	1	(	(	PUNCT
ejpam-4353	386	2	i	i	NOUN
ejpam-4353	386	3	)	)	PUNCT
ejpam-4353	386	4	since	since	SCONJ
ejpam-4353	386	5	(	(	PUNCT
ejpam-4353	386	6	i˜̃g	i˜̃g	NOUN
ejpam-4353	386	7	(	(	PUNCT
ejpam-4353	386	8	θ	θ	PROPN
ejpam-4353	386	9	,	,	PUNCT
ejpam-4353	386	10	λ	λ	PROPN
ejpam-4353	386	11	,	,	PUNCT
ejpam-4353	386	12	ς))c	ς))c	NOUN
ejpam-4353	386	13	=	=	PUNCT
ejpam-4353	386	14	(	(	PUNCT
ejpam-4353	386	15	˜̃⋃{(θi	˜̃⋃{(θi	NOUN
ejpam-4353	386	16	,	,	PUNCT
ejpam-4353	386	17	λi	λi	NOUN
ejpam-4353	386	18	,	,	PUNCT
ejpam-4353	386	19	ς	ς	PROPN
ejpam-4353	386	20	)	)	PUNCT
ejpam-4353	386	21	:	:	PUNCT
ejpam-4353	386	22	(	(	PUNCT
ejpam-4353	386	23	θi	θi	X
ejpam-4353	386	24	,	,	PUNCT
ejpam-4353	386	25	λi	λi	NOUN
ejpam-4353	386	26	,	,	PUNCT
ejpam-4353	386	27	ς	ς	NOUN
ejpam-4353	386	28	)	)	PUNCT
ejpam-4353	386	29	˜̃∈	˜̃∈	PROPN
ejpam-4353	386	30	˜̃g	˜̃g	PROPN
ejpam-4353	386	31	,	,	PUNCT
ejpam-4353	386	32	(	(	PUNCT
ejpam-4353	386	33	θi	θi	X
ejpam-4353	386	34	,	,	PUNCT
ejpam-4353	386	35	λi	λi	NOUN
ejpam-4353	386	36	,	,	PUNCT
ejpam-4353	386	37	ς	ς	PROPN
ejpam-4353	386	38	)	)	PUNCT
ejpam-4353	386	39	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	386	40	(	(	PUNCT
ejpam-4353	386	41	θ	θ	PROPN
ejpam-4353	386	42	,	,	PUNCT
ejpam-4353	386	43	λ	λ	PROPN
ejpam-4353	386	44	,	,	PUNCT
ejpam-4353	386	45	ς	ς	PROPN
ejpam-4353	386	46	)	)	PUNCT
ejpam-4353	386	47	,	,	PUNCT
ejpam-4353	386	48	i	i	PRON
ejpam-4353	386	49	∈	∈	VERB
ejpam-4353	386	50	i})c	i})c	NOUN
ejpam-4353	386	51	=	=	SYM
ejpam-4353	386	52	˜̃⋂	˜̃⋂	PROPN
ejpam-4353	386	53	{	{	PUNCT
ejpam-4353	386	54	(	(	PUNCT
ejpam-4353	386	55	θi	θi	X
ejpam-4353	386	56	,	,	PUNCT
ejpam-4353	386	57	λi	λi	NOUN
ejpam-4353	386	58	,	,	PUNCT
ejpam-4353	386	59	ς	ς	NOUN
ejpam-4353	386	60	)	)	PUNCT
ejpam-4353	386	61	c	c	NOUN
ejpam-4353	386	62	:	:	PUNCT
ejpam-4353	386	63	(	(	PUNCT
ejpam-4353	386	64	θi	θi	X
ejpam-4353	386	65	,	,	PUNCT
ejpam-4353	386	66	λi	λi	NOUN
ejpam-4353	386	67	,	,	PUNCT
ejpam-4353	386	68	ς	ς	NOUN
ejpam-4353	386	69	)	)	PUNCT
ejpam-4353	386	70	˜̃∈	˜̃∈	PROPN
ejpam-4353	386	71	˜̃g	˜̃g	PROPN
ejpam-4353	386	72	,	,	PUNCT
ejpam-4353	386	73	(	(	PUNCT
ejpam-4353	386	74	θ	θ	NOUN
ejpam-4353	386	75	,	,	PUNCT
ejpam-4353	386	76	λ	λ	PROPN
ejpam-4353	386	77	,	,	PUNCT
ejpam-4353	386	78	ς)c	ς)c	X
ejpam-4353	386	79	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	386	80	(	(	PUNCT
ejpam-4353	386	81	θi	θi	X
ejpam-4353	386	82	,	,	PUNCT
ejpam-4353	386	83	λi	λi	NOUN
ejpam-4353	386	84	,	,	PUNCT
ejpam-4353	386	85	ς	ς	PROPN
ejpam-4353	386	86	)	)	PUNCT
ejpam-4353	386	87	c	c	NOUN
ejpam-4353	386	88	,	,	PUNCT
ejpam-4353	386	89	i	i	PRON
ejpam-4353	386	90	∈	∈	VERB
ejpam-4353	386	91	i	i	PRON
ejpam-4353	386	92	}	}	PUNCT
ejpam-4353	386	93	=	=	SYM
ejpam-4353	386	94	c˜̃g(θ	c˜̃g(θ	PROPN
ejpam-4353	386	95	,	,	PUNCT
ejpam-4353	386	96	λ	λ	NOUN
ejpam-4353	386	97	,	,	PUNCT
ejpam-4353	386	98	ς)c	ς)c	NOUN
ejpam-4353	386	99	.	.	PUNCT
ejpam-4353	387	1	(	(	PUNCT
ejpam-4353	387	2	v	v	NOUN
ejpam-4353	387	3	)	)	PUNCT
ejpam-4353	387	4	since	since	SCONJ
ejpam-4353	387	5	i˜̃g	i˜̃g	NOUN
ejpam-4353	387	6	(	(	PUNCT
ejpam-4353	387	7	(	(	PUNCT
ejpam-4353	387	8	θ	θ	NOUN
ejpam-4353	387	9	,	,	PUNCT
ejpam-4353	387	10	λ	λ	PROPN
ejpam-4353	387	11	,	,	PUNCT
ejpam-4353	387	12	ς)˜̃\(χ	ς)˜̃\(χ	PROPN
ejpam-4353	387	13	,	,	PUNCT
ejpam-4353	387	14	ψ	ψ	NOUN
ejpam-4353	387	15	,	,	PUNCT
ejpam-4353	387	16	ς	ς	NOUN
ejpam-4353	387	17	)	)	PUNCT
ejpam-4353	387	18	)	)	PUNCT
ejpam-4353	388	1	=	=	SYM
ejpam-4353	388	2	i˜̃g((θ	i˜̃g((θ	NOUN
ejpam-4353	388	3	,	,	PUNCT
ejpam-4353	388	4	λ	λ	PROPN
ejpam-4353	388	5	,	,	PUNCT
ejpam-4353	388	6	ς)˜̃∩	ς)˜̃∩	CCONJ
ejpam-4353	388	7	(	(	PUNCT
ejpam-4353	388	8	χ	χ	X
ejpam-4353	388	9	,	,	PUNCT
ejpam-4353	388	10	ψ	ψ	NOUN
ejpam-4353	388	11	,	,	PUNCT
ejpam-4353	388	12	ς)c)˜̃⊆i˜̃g	ς)c)˜̃⊆i˜̃g	X
ejpam-4353	388	13	(	(	PUNCT
ejpam-4353	388	14	θ	θ	NOUN
ejpam-4353	388	15	,	,	PUNCT
ejpam-4353	388	16	λ	λ	PROPN
ejpam-4353	388	17	,	,	PUNCT
ejpam-4353	388	18	ς)˜̃∩	ς)˜̃∩	ADV
ejpam-4353	388	19	i˜̃g	i˜̃g	NOUN
ejpam-4353	388	20	(	(	PUNCT
ejpam-4353	388	21	χ	χ	NOUN
ejpam-4353	388	22	,	,	PUNCT
ejpam-4353	388	23	ψ	ψ	X
ejpam-4353	388	24	,	,	PUNCT
ejpam-4353	388	25	ς)c	ς)c	PROPN
ejpam-4353	388	26	(	(	PUNCT
ejpam-4353	388	27	by	by	ADP
ejpam-4353	388	28	theorem	theorem	NOUN
ejpam-4353	388	29	5(v	5(v	NUM
ejpam-4353	388	30	)	)	PUNCT
ejpam-4353	388	31	)	)	PUNCT
ejpam-4353	389	1	=	=	PRON
ejpam-4353	389	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	389	3	(	(	PUNCT
ejpam-4353	389	4	θ	θ	PROPN
ejpam-4353	389	5	,	,	PUNCT
ejpam-4353	389	6	λ	λ	PROPN
ejpam-4353	389	7	,	,	PUNCT
ejpam-4353	389	8	ς	ς	NOUN
ejpam-4353	389	9	)	)	PUNCT
ejpam-4353	389	10	˜̃∩(c˜̃g	˜̃∩(c˜̃g	NOUN
ejpam-4353	389	11	(	(	PUNCT
ejpam-4353	389	12	χ	χ	NOUN
ejpam-4353	389	13	,	,	PUNCT
ejpam-4353	389	14	ψ	ψ	PROPN
ejpam-4353	389	15	,	,	PUNCT
ejpam-4353	389	16	ς))c˜̃⊆	ς))c˜̃⊆	PROPN
ejpam-4353	389	17	i˜̃g	i˜̃g	NOUN
ejpam-4353	389	18	(	(	PUNCT
ejpam-4353	389	19	θ	θ	PROPN
ejpam-4353	389	20	,	,	PUNCT
ejpam-4353	389	21	λ	λ	PROPN
ejpam-4353	389	22	,	,	PUNCT
ejpam-4353	389	23	ς	ς	NOUN
ejpam-4353	389	24	)	)	PUNCT
ejpam-4353	389	25	˜̃∩(i˜̃g	˜̃∩(i˜̃g	PROPN
ejpam-4353	389	26	(	(	PUNCT
ejpam-4353	389	27	χ	χ	NOUN
ejpam-4353	389	28	,	,	PUNCT
ejpam-4353	389	29	ψ	ψ	X
ejpam-4353	389	30	,	,	PUNCT
ejpam-4353	389	31	ς))c	ς))c	NOUN
ejpam-4353	389	32	=	=	PUNCT
ejpam-4353	389	33	i˜̃g	i˜̃g	NOUN
ejpam-4353	389	34	(	(	PUNCT
ejpam-4353	389	35	θ	θ	PROPN
ejpam-4353	389	36	,	,	PUNCT
ejpam-4353	389	37	λ	λ	PROPN
ejpam-4353	389	38	,	,	PUNCT
ejpam-4353	389	39	ς)˜̃\i˜̃g	ς)˜̃\i˜̃g	NOUN
ejpam-4353	389	40	(	(	PUNCT
ejpam-4353	389	41	χ	χ	NOUN
ejpam-4353	389	42	,	,	PUNCT
ejpam-4353	389	43	ψ	ψ	X
ejpam-4353	389	44	,	,	PUNCT
ejpam-4353	389	45	ς	ς	PROPN
ejpam-4353	389	46	)	)	PUNCT
ejpam-4353	389	47	.	.	PUNCT
ejpam-4353	390	1	definition	definition	NOUN
ejpam-4353	390	2	22	22	NUM
ejpam-4353	390	3	.	.	PUNCT
ejpam-4353	391	1	let	let	VERB
ejpam-4353	391	2	(	(	PUNCT
ejpam-4353	391	3	ω	ω	NOUN
ejpam-4353	391	4	,	,	PUNCT
ejpam-4353	391	5	˜̃g	˜̃g	PROPN
ejpam-4353	391	6	,	,	PUNCT
ejpam-4353	391	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	391	8	)	)	PUNCT
ejpam-4353	391	9	be	be	VERB
ejpam-4353	391	10	a	a	DET
ejpam-4353	391	11	bsgt	bsgt	NOUN
ejpam-4353	391	12	s	s	PRON
ejpam-4353	391	13	and	and	CCONJ
ejpam-4353	391	14	(	(	PUNCT
ejpam-4353	391	15	θ	θ	PROPN
ejpam-4353	391	16	,	,	PUNCT
ejpam-4353	391	17	λ	λ	PROPN
ejpam-4353	391	18	,	,	PUNCT
ejpam-4353	391	19	ς	ς	PROPN
ejpam-4353	391	20	)	)	PUNCT
ejpam-4353	391	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	391	22	bss(ω	bss(ω	PROPN
ejpam-4353	391	23	)	)	PUNCT
ejpam-4353	391	24	.	.	PUNCT
ejpam-4353	392	1	then	then	ADV
ejpam-4353	392	2	the	the	DET
ejpam-4353	392	3	bipolar	bipolar	ADJ
ejpam-4353	392	4	soft	soft	ADJ
ejpam-4353	392	5	˜̃g	˜̃g	NOUN
ejpam-4353	392	6	-	-	PUNCT
ejpam-4353	392	7	boundary	boundary	NOUN
ejpam-4353	392	8	of	of	ADP
ejpam-4353	392	9	(	(	PUNCT
ejpam-4353	392	10	θ	θ	PROPN
ejpam-4353	392	11	,	,	PUNCT
ejpam-4353	392	12	λ	λ	PROPN
ejpam-4353	392	13	,	,	PUNCT
ejpam-4353	392	14	ς	ς	PROPN
ejpam-4353	392	15	)	)	PUNCT
ejpam-4353	392	16	,	,	PUNCT
ejpam-4353	392	17	denoted	denote	VERB
ejpam-4353	392	18	by	by	ADP
ejpam-4353	392	19	b˜̃g	b˜̃g	PROPN
ejpam-4353	392	20	(	(	PUNCT
ejpam-4353	392	21	θ	θ	PROPN
ejpam-4353	392	22	,	,	PUNCT
ejpam-4353	392	23	λ	λ	PROPN
ejpam-4353	392	24	,	,	PUNCT
ejpam-4353	392	25	ς	ς	NOUN
ejpam-4353	392	26	)	)	PUNCT
ejpam-4353	392	27	,	,	PUNCT
ejpam-4353	392	28	is	be	AUX
ejpam-4353	392	29	defined	define	VERB
ejpam-4353	392	30	as	as	ADP
ejpam-4353	392	31	b˜̃g	b˜̃g	NOUN
ejpam-4353	392	32	(	(	PUNCT
ejpam-4353	392	33	θ	θ	NOUN
ejpam-4353	392	34	,	,	PUNCT
ejpam-4353	392	35	λ	λ	PROPN
ejpam-4353	392	36	,	,	PUNCT
ejpam-4353	392	37	ς	ς	NOUN
ejpam-4353	392	38	)	)	PUNCT
ejpam-4353	392	39	=	=	SYM
ejpam-4353	392	40	c˜̃g	c˜̃g	NOUN
ejpam-4353	392	41	(	(	PUNCT
ejpam-4353	392	42	θ	θ	PROPN
ejpam-4353	392	43	,	,	PUNCT
ejpam-4353	392	44	λ	λ	PROPN
ejpam-4353	392	45	,	,	PUNCT
ejpam-4353	392	46	ς	ς	PROPN
ejpam-4353	392	47	)	)	PUNCT
ejpam-4353	392	48	˜̃∩	˜̃∩	ADV
ejpam-4353	392	49	c˜̃g	c˜̃g	PROPN
ejpam-4353	392	50	(	(	PUNCT
ejpam-4353	392	51	θ	θ	PROPN
ejpam-4353	392	52	,	,	PUNCT
ejpam-4353	392	53	λ	λ	PROPN
ejpam-4353	392	54	,	,	PUNCT
ejpam-4353	392	55	ς)c	ς)c	NOUN
ejpam-4353	392	56	.	.	PUNCT
ejpam-4353	393	1	proposition	proposition	NOUN
ejpam-4353	393	2	3	3	X
ejpam-4353	393	3	.	.	PUNCT
ejpam-4353	394	1	it	it	PRON
ejpam-4353	394	2	is	be	AUX
ejpam-4353	394	3	clear	clear	ADJ
ejpam-4353	394	4	that	that	SCONJ
ejpam-4353	394	5	b˜̃g	b˜̃g	NOUN
ejpam-4353	394	6	(	(	PUNCT
ejpam-4353	394	7	θ	θ	PROPN
ejpam-4353	394	8	,	,	PUNCT
ejpam-4353	394	9	λ	λ	PROPN
ejpam-4353	394	10	,	,	PUNCT
ejpam-4353	394	11	ς	ς	NOUN
ejpam-4353	394	12	)	)	PUNCT
ejpam-4353	394	13	=	=	SYM
ejpam-4353	394	14	b˜̃g	b˜̃g	NOUN
ejpam-4353	394	15	(	(	PUNCT
ejpam-4353	394	16	θ	θ	NOUN
ejpam-4353	394	17	,	,	PUNCT
ejpam-4353	394	18	λ	λ	PROPN
ejpam-4353	394	19	,	,	PUNCT
ejpam-4353	394	20	ς)c	ς)c	NOUN
ejpam-4353	394	21	.	.	PUNCT
ejpam-4353	394	22	theorem	theorem	NOUN
ejpam-4353	394	23	10	10	NUM
ejpam-4353	394	24	.	.	PUNCT
ejpam-4353	395	1	let	let	VERB
ejpam-4353	395	2	(	(	PUNCT
ejpam-4353	395	3	ω	ω	NOUN
ejpam-4353	395	4	,	,	PUNCT
ejpam-4353	395	5	˜̃g	˜̃g	PROPN
ejpam-4353	395	6	,	,	PUNCT
ejpam-4353	395	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	395	8	)	)	PUNCT
ejpam-4353	395	9	be	be	VERB
ejpam-4353	395	10	a	a	DET
ejpam-4353	395	11	bsgt	bsgt	NOUN
ejpam-4353	395	12	s	s	PRON
ejpam-4353	395	13	and	and	CCONJ
ejpam-4353	395	14	(	(	PUNCT
ejpam-4353	395	15	θ	θ	PROPN
ejpam-4353	395	16	,	,	PUNCT
ejpam-4353	395	17	λ	λ	PROPN
ejpam-4353	395	18	,	,	PUNCT
ejpam-4353	395	19	ς	ς	PROPN
ejpam-4353	395	20	)	)	PUNCT
ejpam-4353	395	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	395	22	bss(ω	bss(ω	PROPN
ejpam-4353	395	23	)	)	PUNCT
ejpam-4353	395	24	.	.	PUNCT
ejpam-4353	396	1	then	then	ADV
ejpam-4353	396	2	(	(	PUNCT
ejpam-4353	396	3	i	i	NOUN
ejpam-4353	396	4	)	)	PUNCT
ejpam-4353	396	5	b˜̃g	b˜̃g	PROPN
ejpam-4353	396	6	(	(	PUNCT
ejpam-4353	396	7	θ	θ	NOUN
ejpam-4353	396	8	,	,	PUNCT
ejpam-4353	396	9	λ	λ	PROPN
ejpam-4353	396	10	,	,	PUNCT
ejpam-4353	396	11	ς	ς	PROPN
ejpam-4353	396	12	)	)	PUNCT
ejpam-4353	396	13	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	396	14	c˜̃g	c˜̃g	PROPN
ejpam-4353	396	15	(	(	PUNCT
ejpam-4353	396	16	θ	θ	PROPN
ejpam-4353	396	17	,	,	PUNCT
ejpam-4353	396	18	λ	λ	PROPN
ejpam-4353	396	19	,	,	PUNCT
ejpam-4353	396	20	ς	ς	PROPN
ejpam-4353	396	21	)	)	PUNCT
ejpam-4353	396	22	.	.	PUNCT
ejpam-4353	397	1	(	(	PUNCT
ejpam-4353	397	2	ii	ii	NOUN
ejpam-4353	397	3	)	)	PUNCT
ejpam-4353	397	4	(	(	PUNCT
ejpam-4353	397	5	θ	θ	PROPN
ejpam-4353	397	6	,	,	PUNCT
ejpam-4353	397	7	λ	λ	PROPN
ejpam-4353	397	8	,	,	PUNCT
ejpam-4353	397	9	ς	ς	NOUN
ejpam-4353	397	10	)	)	PUNCT
ejpam-4353	397	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	397	12	b˜̃g	b˜̃g	NOUN
ejpam-4353	397	13	(	(	PUNCT
ejpam-4353	397	14	θ	θ	PROPN
ejpam-4353	397	15	,	,	PUNCT
ejpam-4353	397	16	λ	λ	PROPN
ejpam-4353	397	17	,	,	PUNCT
ejpam-4353	397	18	ς	ς	PROPN
ejpam-4353	397	19	)	)	PUNCT
ejpam-4353	397	20	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	397	21	c˜̃g	c˜̃g	PROPN
ejpam-4353	397	22	(	(	PUNCT
ejpam-4353	397	23	θ	θ	PROPN
ejpam-4353	397	24	,	,	PUNCT
ejpam-4353	397	25	λ	λ	PROPN
ejpam-4353	397	26	,	,	PUNCT
ejpam-4353	397	27	ς	ς	PROPN
ejpam-4353	397	28	)	)	PUNCT
ejpam-4353	397	29	.	.	PUNCT
ejpam-4353	398	1	h.	h.	PROPN
ejpam-4353	398	2	y.	y.	PROPN
ejpam-4353	398	3	saleh	saleh	PROPN
ejpam-4353	398	4	,	,	PUNCT
ejpam-4353	398	5	b.	b.	PROPN
ejpam-4353	398	6	a.	a.	PROPN
ejpam-4353	398	7	asaad	asaad	PROPN
ejpam-4353	398	8	,	,	PUNCT
ejpam-4353	398	9	r.	r.	PROPN
ejpam-4353	398	10	a.	a.	PROPN
ejpam-4353	398	11	mohammed	mohammed	PROPN
ejpam-4353	398	12	/	/	SYM
ejpam-4353	398	13	eur	eur	PROPN
ejpam-4353	398	14	.	.	PUNCT
ejpam-4353	399	1	j.	j.	PROPN
ejpam-4353	399	2	pure	pure	PROPN
ejpam-4353	399	3	appl	appl	PROPN
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ejpam-4353	399	6	,	,	PUNCT
ejpam-4353	399	7	15	15	NUM
ejpam-4353	399	8	(	(	PUNCT
ejpam-4353	399	9	2	2	NUM
ejpam-4353	399	10	)	)	PUNCT
ejpam-4353	399	11	(	(	PUNCT
ejpam-4353	399	12	2022	2022	NUM
ejpam-4353	399	13	)	)	PUNCT
ejpam-4353	399	14	,	,	PUNCT
ejpam-4353	399	15	646	646	NUM
ejpam-4353	399	16	-	-	SYM
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ejpam-4353	399	18	662	662	NUM
ejpam-4353	399	19	(	(	PUNCT
ejpam-4353	399	20	iii	iii	NOUN
ejpam-4353	399	21	)	)	PUNCT
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ejpam-4353	399	23	(	(	PUNCT
ejpam-4353	399	24	θ	θ	NOUN
ejpam-4353	399	25	,	,	PUNCT
ejpam-4353	399	26	λ	λ	PROPN
ejpam-4353	399	27	,	,	PUNCT
ejpam-4353	399	28	ς	ς	PROPN
ejpam-4353	399	29	)	)	PUNCT
ejpam-4353	399	30	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	399	31	(	(	PUNCT
ejpam-4353	399	32	θ	θ	PROPN
ejpam-4353	399	33	,	,	PUNCT
ejpam-4353	399	34	λ	λ	PROPN
ejpam-4353	399	35	,	,	PUNCT
ejpam-4353	399	36	ς	ς	NOUN
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ejpam-4353	399	38	˜̃\	˜̃\	NOUN
ejpam-4353	399	39	b˜̃g	b˜̃g	NOUN
ejpam-4353	399	40	(	(	PUNCT
ejpam-4353	399	41	θ	θ	NOUN
ejpam-4353	399	42	,	,	PUNCT
ejpam-4353	399	43	λ	λ	PROPN
ejpam-4353	399	44	,	,	PUNCT
ejpam-4353	399	45	ς	ς	PROPN
ejpam-4353	399	46	)	)	PUNCT
ejpam-4353	399	47	.	.	PUNCT
ejpam-4353	400	1	(	(	PUNCT
ejpam-4353	400	2	iv	iv	X
ejpam-4353	400	3	)	)	PUNCT
ejpam-4353	400	4	b˜̃g(i˜̃g	b˜̃g(i˜̃g	PROPN
ejpam-4353	400	5	(	(	PUNCT
ejpam-4353	400	6	θ	θ	PROPN
ejpam-4353	400	7	,	,	PUNCT
ejpam-4353	400	8	λ	λ	PROPN
ejpam-4353	400	9	,	,	PUNCT
ejpam-4353	400	10	ς	ς	NOUN
ejpam-4353	400	11	)	)	PUNCT
ejpam-4353	400	12	)	)	PUNCT
ejpam-4353	401	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	401	2	b˜̃g(θ	b˜̃g(θ	PROPN
ejpam-4353	401	3	,	,	PUNCT
ejpam-4353	401	4	λ	λ	PROPN
ejpam-4353	401	5	,	,	PUNCT
ejpam-4353	401	6	ς	ς	PROPN
ejpam-4353	401	7	)	)	PUNCT
ejpam-4353	401	8	.	.	PUNCT
ejpam-4353	402	1	(	(	PUNCT
ejpam-4353	402	2	v	v	X
ejpam-4353	402	3	)	)	PUNCT
ejpam-4353	402	4	b˜̃g(c˜̃g	b˜̃g(c˜̃g	PROPN
ejpam-4353	402	5	(	(	PUNCT
ejpam-4353	402	6	θ	θ	PROPN
ejpam-4353	402	7	,	,	PUNCT
ejpam-4353	402	8	λ	λ	PROPN
ejpam-4353	402	9	,	,	PUNCT
ejpam-4353	402	10	ς	ς	NOUN
ejpam-4353	402	11	)	)	PUNCT
ejpam-4353	402	12	)	)	PUNCT
ejpam-4353	403	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	403	2	b˜̃g(θ	b˜̃g(θ	PROPN
ejpam-4353	403	3	,	,	PUNCT
ejpam-4353	403	4	λ	λ	PROPN
ejpam-4353	403	5	,	,	PUNCT
ejpam-4353	403	6	ς	ς	NOUN
ejpam-4353	403	7	)	)	PUNCT
ejpam-4353	403	8	.	.	PUNCT
ejpam-4353	404	1	proof	proof	NOUN
ejpam-4353	404	2	.	.	PUNCT
ejpam-4353	405	1	(	(	PUNCT
ejpam-4353	405	2	i	i	NOUN
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ejpam-4353	405	4	since	since	SCONJ
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ejpam-4353	405	6	(	(	PUNCT
ejpam-4353	405	7	θ	θ	NOUN
ejpam-4353	405	8	,	,	PUNCT
ejpam-4353	405	9	λ	λ	PROPN
ejpam-4353	405	10	,	,	PUNCT
ejpam-4353	405	11	ς	ς	NOUN
ejpam-4353	405	12	)	)	PUNCT
ejpam-4353	405	13	=	=	SYM
ejpam-4353	405	14	c˜̃g	c˜̃g	NOUN
ejpam-4353	405	15	(	(	PUNCT
ejpam-4353	405	16	θ	θ	PROPN
ejpam-4353	405	17	,	,	PUNCT
ejpam-4353	405	18	λ	λ	PROPN
ejpam-4353	405	19	,	,	PUNCT
ejpam-4353	405	20	ς	ς	PROPN
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ejpam-4353	405	22	˜̃∩	˜̃∩	ADV
ejpam-4353	405	23	c˜̃g	c˜̃g	PROPN
ejpam-4353	405	24	(	(	PUNCT
ejpam-4353	405	25	θ	θ	PROPN
ejpam-4353	405	26	,	,	PUNCT
ejpam-4353	405	27	λ	λ	NOUN
ejpam-4353	405	28	,	,	PUNCT
ejpam-4353	405	29	ς)c	ς)c	NOUN
ejpam-4353	405	30	.	.	PUNCT
ejpam-4353	406	1	then	then	ADV
ejpam-4353	406	2	b˜̃g	b˜̃g	NOUN
ejpam-4353	406	3	(	(	PUNCT
ejpam-4353	406	4	θ	θ	PROPN
ejpam-4353	406	5	,	,	PUNCT
ejpam-4353	406	6	λ	λ	PROPN
ejpam-4353	406	7	,	,	PUNCT
ejpam-4353	406	8	ς	ς	PROPN
ejpam-4353	406	9	)	)	PUNCT
ejpam-4353	406	10	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	406	11	c˜̃g	c˜̃g	PROPN
ejpam-4353	406	12	(	(	PUNCT
ejpam-4353	406	13	θ	θ	PROPN
ejpam-4353	406	14	,	,	PUNCT
ejpam-4353	406	15	λ	λ	PROPN
ejpam-4353	406	16	,	,	PUNCT
ejpam-4353	406	17	ς	ς	PROPN
ejpam-4353	406	18	)	)	PUNCT
ejpam-4353	406	19	.	.	PUNCT
ejpam-4353	407	1	(	(	PUNCT
ejpam-4353	407	2	ii	ii	NOUN
ejpam-4353	407	3	)	)	PUNCT
ejpam-4353	407	4	(	(	PUNCT
ejpam-4353	407	5	θ	θ	PROPN
ejpam-4353	407	6	,	,	PUNCT
ejpam-4353	407	7	λ	λ	PROPN
ejpam-4353	407	8	,	,	PUNCT
ejpam-4353	407	9	ς)˜̃∪	ς)˜̃∪	PROPN
ejpam-4353	407	10	b˜̃g	b˜̃g	PROPN
ejpam-4353	407	11	(	(	PUNCT
ejpam-4353	407	12	θ	θ	PROPN
ejpam-4353	407	13	,	,	PUNCT
ejpam-4353	407	14	λ	λ	PROPN
ejpam-4353	407	15	,	,	PUNCT
ejpam-4353	407	16	ς	ς	NOUN
ejpam-4353	407	17	)	)	PUNCT
ejpam-4353	407	18	=	=	SYM
ejpam-4353	407	19	(	(	PUNCT
ejpam-4353	407	20	θ	θ	PROPN
ejpam-4353	407	21	,	,	PUNCT
ejpam-4353	407	22	λ	λ	PROPN
ejpam-4353	407	23	,	,	PUNCT
ejpam-4353	407	24	ς)˜̃∪	ς)˜̃∪	PROPN
ejpam-4353	407	25	(	(	PUNCT
ejpam-4353	407	26	c˜̃g	c˜̃g	PROPN
ejpam-4353	407	27	(	(	PUNCT
ejpam-4353	407	28	θ	θ	PROPN
ejpam-4353	407	29	,	,	PUNCT
ejpam-4353	407	30	λ	λ	PROPN
ejpam-4353	407	31	,	,	PUNCT
ejpam-4353	407	32	ς)˜̃∩c˜̃g	ς)˜̃∩c˜̃g	PROPN
ejpam-4353	407	33	(	(	PUNCT
ejpam-4353	407	34	θ	θ	PROPN
ejpam-4353	407	35	,	,	PUNCT
ejpam-4353	407	36	λ	λ	NOUN
ejpam-4353	407	37	,	,	PUNCT
ejpam-4353	407	38	ς)c	ς)c	NOUN
ejpam-4353	407	39	)	)	PUNCT
ejpam-4353	407	40	=	=	SYM
ejpam-4353	407	41	(	(	PUNCT
ejpam-4353	407	42	(	(	PUNCT
ejpam-4353	407	43	θ	θ	NOUN
ejpam-4353	407	44	,	,	PUNCT
ejpam-4353	407	45	λ	λ	PROPN
ejpam-4353	407	46	,	,	PUNCT
ejpam-4353	407	47	ς)˜̃∪	ς)˜̃∪	PROPN
ejpam-4353	407	48	c˜̃g	c˜̃g	PROPN
ejpam-4353	407	49	(	(	PUNCT
ejpam-4353	407	50	θ	θ	PROPN
ejpam-4353	407	51	,	,	PUNCT
ejpam-4353	407	52	λ	λ	PROPN
ejpam-4353	407	53	,	,	PUNCT
ejpam-4353	407	54	ς))˜̃∩((θ	ς))˜̃∩((θ	NUM
ejpam-4353	407	55	,	,	PUNCT
ejpam-4353	407	56	λ	λ	PROPN
ejpam-4353	407	57	,	,	PUNCT
ejpam-4353	407	58	ς)˜̃∪	ς)˜̃∪	PROPN
ejpam-4353	407	59	c˜̃g	c˜̃g	PROPN
ejpam-4353	407	60	(	(	PUNCT
ejpam-4353	407	61	θ	θ	PROPN
ejpam-4353	407	62	,	,	PUNCT
ejpam-4353	407	63	λ	λ	NOUN
ejpam-4353	407	64	,	,	PUNCT
ejpam-4353	407	65	ς)c	ς)c	NOUN
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ejpam-4353	407	67	=	=	SYM
ejpam-4353	407	68	c˜̃g	c˜̃g	NOUN
ejpam-4353	407	69	(	(	PUNCT
ejpam-4353	407	70	θ	θ	PROPN
ejpam-4353	407	71	,	,	PUNCT
ejpam-4353	407	72	λ	λ	PROPN
ejpam-4353	407	73	,	,	PUNCT
ejpam-4353	407	74	ς)˜̃∩((θ	ς)˜̃∩((θ	NOUN
ejpam-4353	407	75	,	,	PUNCT
ejpam-4353	407	76	λ	λ	PROPN
ejpam-4353	407	77	,	,	PUNCT
ejpam-4353	407	78	ς)˜̃∪	ς)˜̃∪	PROPN
ejpam-4353	407	79	c˜̃g	c˜̃g	PROPN
ejpam-4353	407	80	(	(	PUNCT
ejpam-4353	407	81	θ	θ	PROPN
ejpam-4353	407	82	,	,	PUNCT
ejpam-4353	407	83	λ	λ	PROPN
ejpam-4353	407	84	,	,	PUNCT
ejpam-4353	407	85	ς)c)˜̃⊆c˜̃g	ς)c)˜̃⊆c˜̃g	NOUN
ejpam-4353	407	86	(	(	PUNCT
ejpam-4353	407	87	θ	θ	PROPN
ejpam-4353	407	88	,	,	PUNCT
ejpam-4353	407	89	λ	λ	PROPN
ejpam-4353	407	90	,	,	PUNCT
ejpam-4353	407	91	ς	ς	PROPN
ejpam-4353	407	92	)	)	PUNCT
ejpam-4353	407	93	.	.	PUNCT
ejpam-4353	408	1	(	(	PUNCT
ejpam-4353	408	2	iii	iii	X
ejpam-4353	408	3	)	)	PUNCT
ejpam-4353	408	4	(	(	PUNCT
ejpam-4353	408	5	θ	θ	PROPN
ejpam-4353	408	6	,	,	PUNCT
ejpam-4353	408	7	λ	λ	PROPN
ejpam-4353	408	8	,	,	PUNCT
ejpam-4353	408	9	ς	ς	NOUN
ejpam-4353	408	10	)	)	PUNCT
ejpam-4353	408	11	˜̃\b˜̃g	˜̃\b˜̃g	NOUN
ejpam-4353	408	12	(	(	PUNCT
ejpam-4353	408	13	θ	θ	NOUN
ejpam-4353	408	14	,	,	PUNCT
ejpam-4353	408	15	λ	λ	PROPN
ejpam-4353	408	16	,	,	PUNCT
ejpam-4353	408	17	ς	ς	NOUN
ejpam-4353	408	18	)	)	PUNCT
ejpam-4353	408	19	=	=	SYM
ejpam-4353	408	20	(	(	PUNCT
ejpam-4353	408	21	θ	θ	PROPN
ejpam-4353	408	22	,	,	PUNCT
ejpam-4353	408	23	λ	λ	PROPN
ejpam-4353	408	24	,	,	PUNCT
ejpam-4353	408	25	ς)˜̃∩(b˜̃g	ς)˜̃∩(b˜̃g	NUM
ejpam-4353	408	26	(	(	PUNCT
ejpam-4353	408	27	θ	θ	NOUN
ejpam-4353	408	28	,	,	PUNCT
ejpam-4353	408	29	λ	λ	PROPN
ejpam-4353	408	30	,	,	PUNCT
ejpam-4353	408	31	ς))c	ς))c	NOUN
ejpam-4353	408	32	=	=	SYM
ejpam-4353	408	33	(	(	PUNCT
ejpam-4353	408	34	θ	θ	PROPN
ejpam-4353	408	35	,	,	PUNCT
ejpam-4353	408	36	λ	λ	PROPN
ejpam-4353	408	37	,	,	PUNCT
ejpam-4353	408	38	ς)˜̃∩(c˜̃g	ς)˜̃∩(c˜̃g	PUNCT
ejpam-4353	408	39	(	(	PUNCT
ejpam-4353	408	40	θ	θ	NOUN
ejpam-4353	408	41	,	,	PUNCT
ejpam-4353	408	42	λ	λ	PROPN
ejpam-4353	408	43	,	,	PUNCT
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ejpam-4353	408	45	c˜̃g	c˜̃g	PROPN
ejpam-4353	408	46	(	(	PUNCT
ejpam-4353	408	47	θ	θ	PROPN
ejpam-4353	408	48	,	,	PUNCT
ejpam-4353	408	49	λ	λ	PROPN
ejpam-4353	408	50	,	,	PUNCT
ejpam-4353	408	51	ς)c)c	ς)c)c	X
ejpam-4353	408	52	=	=	SYM
ejpam-4353	408	53	(	(	PUNCT
ejpam-4353	408	54	θ	θ	PROPN
ejpam-4353	408	55	,	,	PUNCT
ejpam-4353	408	56	λ	λ	PROPN
ejpam-4353	408	57	,	,	PUNCT
ejpam-4353	408	58	ς)˜̃∩(i˜̃g	ς)˜̃∩(i˜̃g	NOUN
ejpam-4353	408	59	(	(	PUNCT
ejpam-4353	408	60	θ	θ	NOUN
ejpam-4353	408	61	,	,	PUNCT
ejpam-4353	408	62	λ	λ	PROPN
ejpam-4353	408	63	,	,	PUNCT
ejpam-4353	408	64	ς)c	ς)c	NOUN
ejpam-4353	408	65	˜̃∪	˜̃∪	PROPN
ejpam-4353	408	66	i˜̃g	i˜̃g	NOUN
ejpam-4353	408	67	(	(	PUNCT
ejpam-4353	408	68	θ	θ	PROPN
ejpam-4353	408	69	,	,	PUNCT
ejpam-4353	408	70	λ	λ	PROPN
ejpam-4353	408	71	,	,	PUNCT
ejpam-4353	408	72	ς	ς	NOUN
ejpam-4353	408	73	)	)	PUNCT
ejpam-4353	408	74	)	)	PUNCT
ejpam-4353	409	1	=	=	SYM
ejpam-4353	409	2	(	(	PUNCT
ejpam-4353	409	3	(	(	PUNCT
ejpam-4353	409	4	θ	θ	NOUN
ejpam-4353	409	5	,	,	PUNCT
ejpam-4353	409	6	λ	λ	PROPN
ejpam-4353	409	7	,	,	PUNCT
ejpam-4353	409	8	ς)˜̃∩i˜̃g	ς)˜̃∩i˜̃g	PROPN
ejpam-4353	409	9	(	(	PUNCT
ejpam-4353	409	10	θ	θ	PROPN
ejpam-4353	409	11	,	,	PUNCT
ejpam-4353	409	12	λ	λ	PROPN
ejpam-4353	409	13	,	,	PUNCT
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ejpam-4353	409	15	(	(	PUNCT
ejpam-4353	409	16	(	(	PUNCT
ejpam-4353	409	17	θ	θ	NOUN
ejpam-4353	409	18	,	,	PUNCT
ejpam-4353	409	19	λ	λ	PROPN
ejpam-4353	409	20	,	,	PUNCT
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ejpam-4353	409	22	(	(	PUNCT
ejpam-4353	409	23	θ	θ	PROPN
ejpam-4353	409	24	,	,	PUNCT
ejpam-4353	409	25	λ	λ	PROPN
ejpam-4353	409	26	,	,	PUNCT
ejpam-4353	409	27	ς	ς	NOUN
ejpam-4353	409	28	)	)	PUNCT
ejpam-4353	409	29	)	)	PUNCT
ejpam-4353	410	1	=	=	PRON
ejpam-4353	410	2	(	(	PUNCT
ejpam-4353	410	3	φ	φ	PROPN
ejpam-4353	410	4	,	,	PUNCT
ejpam-4353	410	5	λ	λ	PROPN
ejpam-4353	410	6	,	,	PUNCT
ejpam-4353	410	7	ς)˜̃∪i˜̃g	ς)˜̃∪i˜̃g	NUM
ejpam-4353	410	8	(	(	PUNCT
ejpam-4353	410	9	θ	θ	NOUN
ejpam-4353	410	10	,	,	PUNCT
ejpam-4353	410	11	λ	λ	PROPN
ejpam-4353	410	12	,	,	PUNCT
ejpam-4353	410	13	ς)˜̃⊇i˜̃g	ς)˜̃⊇i˜̃g	NUM
ejpam-4353	410	14	(	(	PUNCT
ejpam-4353	410	15	θ	θ	NOUN
ejpam-4353	410	16	,	,	PUNCT
ejpam-4353	410	17	λ	λ	PROPN
ejpam-4353	410	18	,	,	PUNCT
ejpam-4353	410	19	ς	ς	PROPN
ejpam-4353	410	20	)	)	PUNCT
ejpam-4353	410	21	.	.	PUNCT
ejpam-4353	411	1	(	(	PUNCT
ejpam-4353	411	2	iv	iv	X
ejpam-4353	411	3	)	)	PUNCT
ejpam-4353	411	4	b˜̃g	b˜̃g	NOUN
ejpam-4353	411	5	(	(	PUNCT
ejpam-4353	411	6	i˜̃g	i˜̃g	NOUN
ejpam-4353	411	7	(	(	PUNCT
ejpam-4353	411	8	θ	θ	PROPN
ejpam-4353	411	9	,	,	PUNCT
ejpam-4353	411	10	λ	λ	PROPN
ejpam-4353	411	11	,	,	PUNCT
ejpam-4353	411	12	ς	ς	NOUN
ejpam-4353	411	13	)	)	PUNCT
ejpam-4353	411	14	)	)	PUNCT
ejpam-4353	412	1	=	=	PUNCT
ejpam-4353	412	2	c˜̃g(i˜̃g(θ	c˜̃g(i˜̃g(θ	X
ejpam-4353	412	3	,	,	PUNCT
ejpam-4353	412	4	λ	λ	PROPN
ejpam-4353	412	5	,	,	PUNCT
ejpam-4353	412	6	ς))˜̃∩c˜̃g(i˜̃g(θ	ς))˜̃∩c˜̃g(i˜̃g(θ	PROPN
ejpam-4353	412	7	,	,	PUNCT
ejpam-4353	412	8	λ	λ	PROPN
ejpam-4353	412	9	,	,	PUNCT
ejpam-4353	412	10	ς))c	ς))c	NOUN
ejpam-4353	412	11	=	=	PUNCT
ejpam-4353	413	1	c˜̃g(i˜̃g(θ	c˜̃g(i˜̃g(θ	X
ejpam-4353	413	2	,	,	PUNCT
ejpam-4353	413	3	λ	λ	PROPN
ejpam-4353	413	4	,	,	PUNCT
ejpam-4353	413	5	ς))˜̃∩c˜̃g(c˜̃g(θ	ς))˜̃∩c˜̃g(c˜̃g(θ	PROPN
ejpam-4353	413	6	,	,	PUNCT
ejpam-4353	413	7	λ	λ	PROPN
ejpam-4353	413	8	,	,	PUNCT
ejpam-4353	413	9	ς)c)˜̃⊆c˜̃g(θ	ς)c)˜̃⊆c˜̃g(θ	PRON
ejpam-4353	413	10	,	,	PUNCT
ejpam-4353	413	11	λ	λ	PROPN
ejpam-4353	413	12	,	,	PUNCT
ejpam-4353	413	13	ς)˜̃∩c˜̃g(θ	ς)˜̃∩c˜̃g(θ	PRON
ejpam-4353	413	14	,	,	PUNCT
ejpam-4353	413	15	λ	λ	PROPN
ejpam-4353	413	16	,	,	PUNCT
ejpam-4353	413	17	ς)c	ς)c	NOUN
ejpam-4353	413	18	=	=	SYM
ejpam-4353	413	19	b˜̃g	b˜̃g	NOUN
ejpam-4353	413	20	(	(	PUNCT
ejpam-4353	413	21	θ	θ	NOUN
ejpam-4353	413	22	,	,	PUNCT
ejpam-4353	413	23	λ	λ	PROPN
ejpam-4353	413	24	,	,	PUNCT
ejpam-4353	413	25	ς	ς	PROPN
ejpam-4353	413	26	)	)	PUNCT
ejpam-4353	413	27	.	.	PUNCT
ejpam-4353	414	1	(	(	PUNCT
ejpam-4353	414	2	v	v	NOUN
ejpam-4353	414	3	)	)	PUNCT
ejpam-4353	414	4	b˜̃g	b˜̃g	NOUN
ejpam-4353	414	5	(	(	PUNCT
ejpam-4353	414	6	c˜̃g	c˜̃g	PROPN
ejpam-4353	414	7	(	(	PUNCT
ejpam-4353	414	8	θ	θ	PROPN
ejpam-4353	414	9	,	,	PUNCT
ejpam-4353	414	10	λ	λ	PROPN
ejpam-4353	414	11	,	,	PUNCT
ejpam-4353	414	12	ς	ς	NOUN
ejpam-4353	414	13	)	)	PUNCT
ejpam-4353	414	14	)	)	PUNCT
ejpam-4353	415	1	=	=	PUNCT
ejpam-4353	415	2	c˜̃g(c˜̃g(θ	c˜̃g(c˜̃g(θ	X
ejpam-4353	415	3	,	,	PUNCT
ejpam-4353	415	4	λ	λ	PROPN
ejpam-4353	415	5	,	,	PUNCT
ejpam-4353	415	6	ς))˜̃∩c˜̃g(c˜̃g(θ	ς))˜̃∩c˜̃g(c˜̃g(θ	PROPN
ejpam-4353	415	7	,	,	PUNCT
ejpam-4353	415	8	λ	λ	PROPN
ejpam-4353	415	9	,	,	PUNCT
ejpam-4353	415	10	ς))c	ς))c	PROPN
ejpam-4353	415	11	h.	h.	PROPN
ejpam-4353	415	12	y.	y.	PROPN
ejpam-4353	415	13	saleh	saleh	PROPN
ejpam-4353	415	14	,	,	PUNCT
ejpam-4353	415	15	b.	b.	PROPN
ejpam-4353	415	16	a.	a.	PROPN
ejpam-4353	415	17	asaad	asaad	PROPN
ejpam-4353	415	18	,	,	PUNCT
ejpam-4353	415	19	r.	r.	PROPN
ejpam-4353	415	20	a.	a.	PROPN
ejpam-4353	415	21	mohammed	mohammed	PROPN
ejpam-4353	415	22	/	/	SYM
ejpam-4353	415	23	eur	eur	PROPN
ejpam-4353	415	24	.	.	PUNCT
ejpam-4353	416	1	j.	j.	PROPN
ejpam-4353	416	2	pure	pure	PROPN
ejpam-4353	416	3	appl	appl	PROPN
ejpam-4353	416	4	.	.	PROPN
ejpam-4353	416	5	math	math	PROPN
ejpam-4353	416	6	,	,	PUNCT
ejpam-4353	416	7	15	15	NUM
ejpam-4353	416	8	(	(	PUNCT
ejpam-4353	416	9	2	2	NUM
ejpam-4353	416	10	)	)	PUNCT
ejpam-4353	416	11	(	(	PUNCT
ejpam-4353	416	12	2022	2022	NUM
ejpam-4353	416	13	)	)	PUNCT
ejpam-4353	416	14	,	,	PUNCT
ejpam-4353	416	15	646	646	NUM
ejpam-4353	416	16	-	-	SYM
ejpam-4353	416	17	671	671	NUM
ejpam-4353	416	18	663	663	NUM
ejpam-4353	416	19	˜̃⊆(c˜̃g(θ	˜̃⊆(c˜̃g(θ	SYM
ejpam-4353	416	20	,	,	PUNCT
ejpam-4353	416	21	λ	λ	X
ejpam-4353	416	22	,	,	PUNCT
ejpam-4353	416	23	ς))˜̃∩c˜̃g(θ	ς))˜̃∩c˜̃g(θ	PROPN
ejpam-4353	416	24	,	,	PUNCT
ejpam-4353	416	25	λ	λ	NOUN
ejpam-4353	416	26	,	,	PUNCT
ejpam-4353	416	27	ς)c	ς)c	NOUN
ejpam-4353	416	28	=	=	SYM
ejpam-4353	416	29	b˜̃g	b˜̃g	NOUN
ejpam-4353	416	30	(	(	PUNCT
ejpam-4353	416	31	θ	θ	NOUN
ejpam-4353	416	32	,	,	PUNCT
ejpam-4353	416	33	λ	λ	PROPN
ejpam-4353	416	34	,	,	PUNCT
ejpam-4353	416	35	ς	ς	PROPN
ejpam-4353	416	36	)	)	PUNCT
ejpam-4353	416	37	.	.	PUNCT
ejpam-4353	417	1	the	the	DET
ejpam-4353	417	2	following	follow	VERB
ejpam-4353	417	3	example	example	NOUN
ejpam-4353	417	4	shows	show	VERB
ejpam-4353	417	5	that	that	SCONJ
ejpam-4353	417	6	the	the	DET
ejpam-4353	417	7	equality	equality	NOUN
ejpam-4353	417	8	of	of	ADP
ejpam-4353	417	9	(	(	PUNCT
ejpam-4353	417	10	ii	ii	NOUN
ejpam-4353	417	11	)	)	PUNCT
ejpam-4353	417	12	,	,	PUNCT
ejpam-4353	417	13	(	(	PUNCT
ejpam-4353	417	14	iii	iii	NOUN
ejpam-4353	417	15	)	)	PUNCT
ejpam-4353	417	16	,	,	PUNCT
ejpam-4353	417	17	(	(	PUNCT
ejpam-4353	417	18	iv	iv	X
ejpam-4353	417	19	)	)	PUNCT
ejpam-4353	417	20	and	and	CCONJ
ejpam-4353	417	21	(	(	PUNCT
ejpam-4353	417	22	v	v	NOUN
ejpam-4353	417	23	)	)	PUNCT
ejpam-4353	417	24	in	in	ADP
ejpam-4353	417	25	theorem	theorem	NOUN
ejpam-4353	417	26	10	10	NUM
ejpam-4353	417	27	does	do	AUX
ejpam-4353	417	28	not	not	PART
ejpam-4353	417	29	hold	hold	VERB
ejpam-4353	417	30	in	in	ADP
ejpam-4353	417	31	general	general	ADJ
ejpam-4353	417	32	.	.	PUNCT
ejpam-4353	418	1	example	example	NOUN
ejpam-4353	419	1	6	6	NUM
ejpam-4353	419	2	.	.	PUNCT
ejpam-4353	420	1	let	let	VERB
ejpam-4353	420	2	ω	ω	NOUN
ejpam-4353	420	3	=	=	SYM
ejpam-4353	420	4	{	{	PUNCT
ejpam-4353	420	5	ω1	ω1	PROPN
ejpam-4353	420	6	,	,	PUNCT
ejpam-4353	420	7	ω2	ω2	ADJ
ejpam-4353	420	8	,	,	PUNCT
ejpam-4353	420	9	ω3	ω3	NOUN
ejpam-4353	420	10	,	,	PUNCT
ejpam-4353	420	11	ω4	ω4	NUM
ejpam-4353	420	12	}	}	PUNCT
ejpam-4353	420	13	,	,	PUNCT
ejpam-4353	420	14	ς	ς	PROPN
ejpam-4353	420	15	=	=	PUNCT
ejpam-4353	420	16	{	{	PUNCT
ejpam-4353	420	17	ϱ1	ϱ1	NOUN
ejpam-4353	420	18	,	,	PUNCT
ejpam-4353	420	19	ϱ2	ϱ2	NOUN
ejpam-4353	420	20	}	}	PUNCT
ejpam-4353	420	21	and˜̃g	and˜̃g	NOUN
ejpam-4353	421	1	=	=	PRON
ejpam-4353	421	2	{	{	PUNCT
ejpam-4353	421	3	(	(	PUNCT
ejpam-4353	421	4	φ	φ	PROPN
ejpam-4353	421	5	,	,	PUNCT
ejpam-4353	421	6	˜̃ω	˜̃ω	PROPN
ejpam-4353	421	7	,	,	PUNCT
ejpam-4353	421	8	ς	ς	PROPN
ejpam-4353	421	9	)	)	PUNCT
ejpam-4353	421	10	,	,	PUNCT
ejpam-4353	421	11	(	(	PUNCT
ejpam-4353	421	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	421	13	,	,	PUNCT
ejpam-4353	421	14	ς	ς	PROPN
ejpam-4353	421	15	)	)	PUNCT
ejpam-4353	421	16	,	,	PUNCT
ejpam-4353	421	17	(	(	PUNCT
ejpam-4353	421	18	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	421	19	,	,	PUNCT
ejpam-4353	421	20	ς	ς	NOUN
ejpam-4353	421	21	)	)	PUNCT
ejpam-4353	421	22	,	,	PUNCT
ejpam-4353	421	23	(	(	PUNCT
ejpam-4353	421	24	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	421	25	,	,	PUNCT
ejpam-4353	421	26	ς	ς	NOUN
ejpam-4353	421	27	)	)	PUNCT
ejpam-4353	421	28	}	}	PUNCT
ejpam-4353	421	29	,	,	PUNCT
ejpam-4353	421	30	where	where	SCONJ
ejpam-4353	421	31	(	(	PUNCT
ejpam-4353	421	32	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	421	33	,	,	PUNCT
ejpam-4353	421	34	ς	ς	NOUN
ejpam-4353	421	35	)	)	PUNCT
ejpam-4353	421	36	=	=	SYM
ejpam-4353	421	37	{	{	PUNCT
ejpam-4353	421	38	(	(	PUNCT
ejpam-4353	421	39	ϱ1	ϱ1	NOUN
ejpam-4353	421	40	,	,	PUNCT
ejpam-4353	421	41	{	{	PUNCT
ejpam-4353	421	42	ω3	ω3	NOUN
ejpam-4353	421	43	}	}	PUNCT
ejpam-4353	421	44	,	,	PUNCT
ejpam-4353	421	45	{	{	PUNCT
ejpam-4353	421	46	ω1	ω1	PROPN
ejpam-4353	421	47	}	}	PUNCT
ejpam-4353	421	48	)	)	PUNCT
ejpam-4353	421	49	,	,	PUNCT
ejpam-4353	421	50	(	(	PUNCT
ejpam-4353	421	51	ϱ2	ϱ2	NOUN
ejpam-4353	421	52	,	,	PUNCT
ejpam-4353	421	53	{	{	PUNCT
ejpam-4353	421	54	ω3	ω3	NOUN
ejpam-4353	421	55	}	}	PUNCT
ejpam-4353	421	56	,	,	PUNCT
ejpam-4353	421	57	{	{	PUNCT
ejpam-4353	421	58	ω1	ω1	PROPN
ejpam-4353	421	59	,	,	PUNCT
ejpam-4353	421	60	ω2	ω2	ADJ
ejpam-4353	421	61	}	}	PUNCT
ejpam-4353	421	62	)	)	PUNCT
ejpam-4353	421	63	}	}	PUNCT
ejpam-4353	421	64	,	,	PUNCT
ejpam-4353	421	65	(	(	PUNCT
ejpam-4353	421	66	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	421	67	,	,	PUNCT
ejpam-4353	421	68	ς	ς	NOUN
ejpam-4353	421	69	)	)	PUNCT
ejpam-4353	421	70	=	=	SYM
ejpam-4353	421	71	{	{	PUNCT
ejpam-4353	421	72	(	(	PUNCT
ejpam-4353	421	73	ϱ1	ϱ1	PROPN
ejpam-4353	421	74	,	,	PUNCT
ejpam-4353	421	75	ϕ	ϕ	NOUN
ejpam-4353	421	76	,	,	PUNCT
ejpam-4353	421	77	{	{	PUNCT
ejpam-4353	421	78	ω2	ω2	ADJ
ejpam-4353	421	79	,	,	PUNCT
ejpam-4353	421	80	ω3	ω3	NOUN
ejpam-4353	421	81	}	}	PUNCT
ejpam-4353	421	82	)	)	PUNCT
ejpam-4353	421	83	,	,	PUNCT
ejpam-4353	421	84	(	(	PUNCT
ejpam-4353	421	85	ϱ2	ϱ2	NOUN
ejpam-4353	421	86	,	,	PUNCT
ejpam-4353	421	87	{	{	PUNCT
ejpam-4353	421	88	ω1	ω1	PROPN
ejpam-4353	421	89	}	}	PUNCT
ejpam-4353	421	90	,	,	PUNCT
ejpam-4353	421	91	{	{	PUNCT
ejpam-4353	421	92	ω3	ω3	NOUN
ejpam-4353	421	93	}	}	PUNCT
ejpam-4353	421	94	)	)	PUNCT
ejpam-4353	421	95	}	}	PUNCT
ejpam-4353	421	96	and	and	CCONJ
ejpam-4353	421	97	(	(	PUNCT
ejpam-4353	421	98	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	421	99	,	,	PUNCT
ejpam-4353	421	100	ς	ς	NOUN
ejpam-4353	421	101	)	)	PUNCT
ejpam-4353	421	102	=	=	SYM
ejpam-4353	421	103	{	{	PUNCT
ejpam-4353	421	104	(	(	PUNCT
ejpam-4353	421	105	ϱ1	ϱ1	NOUN
ejpam-4353	421	106	,	,	PUNCT
ejpam-4353	421	107	{	{	PUNCT
ejpam-4353	421	108	ω3	ω3	PROPN
ejpam-4353	421	109	}	}	PUNCT
ejpam-4353	421	110	,	,	PUNCT
ejpam-4353	421	111	ϕ	ϕ	NOUN
ejpam-4353	421	112	)	)	PUNCT
ejpam-4353	421	113	,	,	PUNCT
ejpam-4353	421	114	(	(	PUNCT
ejpam-4353	421	115	ϱ2	ϱ2	NOUN
ejpam-4353	421	116	,	,	PUNCT
ejpam-4353	421	117	{	{	PUNCT
ejpam-4353	421	118	ω1	ω1	PROPN
ejpam-4353	421	119	,	,	PUNCT
ejpam-4353	421	120	ω3	ω3	PROPN
ejpam-4353	421	121	}	}	PUNCT
ejpam-4353	421	122	,	,	PUNCT
ejpam-4353	421	123	ϕ	ϕ	NOUN
ejpam-4353	421	124	)	)	PUNCT
ejpam-4353	421	125	}	}	PUNCT
ejpam-4353	421	126	.	.	PUNCT
ejpam-4353	422	1	let	let	VERB
ejpam-4353	422	2	(	(	PUNCT
ejpam-4353	422	3	θ	θ	NOUN
ejpam-4353	422	4	,	,	PUNCT
ejpam-4353	422	5	λ	λ	PROPN
ejpam-4353	422	6	,	,	PUNCT
ejpam-4353	422	7	ς	ς	NOUN
ejpam-4353	422	8	)	)	PUNCT
ejpam-4353	422	9	=	=	SYM
ejpam-4353	422	10	{	{	PUNCT
ejpam-4353	422	11	(	(	PUNCT
ejpam-4353	422	12	ϱ1	ϱ1	NOUN
ejpam-4353	422	13	,	,	PUNCT
ejpam-4353	422	14	{	{	PUNCT
ejpam-4353	422	15	ω1	ω1	PROPN
ejpam-4353	422	16	}	}	PUNCT
ejpam-4353	422	17	,	,	PUNCT
ejpam-4353	422	18	{	{	PUNCT
ejpam-4353	422	19	ω3	ω3	NOUN
ejpam-4353	422	20	}	}	PUNCT
ejpam-4353	422	21	)	)	PUNCT
ejpam-4353	422	22	,	,	PUNCT
ejpam-4353	422	23	(	(	PUNCT
ejpam-4353	422	24	ϱ2	ϱ2	NOUN
ejpam-4353	422	25	,	,	PUNCT
ejpam-4353	422	26	{	{	PUNCT
ejpam-4353	422	27	ω1	ω1	PROPN
ejpam-4353	422	28	}	}	PUNCT
ejpam-4353	422	29	,	,	PUNCT
ejpam-4353	422	30	{	{	PUNCT
ejpam-4353	422	31	ω3	ω3	NOUN
ejpam-4353	422	32	}	}	PUNCT
ejpam-4353	422	33	)	)	PUNCT
ejpam-4353	422	34	}	}	PUNCT
ejpam-4353	422	35	.	.	PUNCT
ejpam-4353	423	1	now	now	ADV
ejpam-4353	423	2	,	,	PUNCT
ejpam-4353	423	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	423	4	(	(	PUNCT
ejpam-4353	423	5	θ	θ	PROPN
ejpam-4353	423	6	,	,	PUNCT
ejpam-4353	423	7	λ	λ	PROPN
ejpam-4353	423	8	,	,	PUNCT
ejpam-4353	423	9	ς	ς	NOUN
ejpam-4353	423	10	)	)	PUNCT
ejpam-4353	423	11	=	=	SYM
ejpam-4353	423	12	(	(	PUNCT
ejpam-4353	423	13	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	423	14	,	,	PUNCT
ejpam-4353	423	15	ς	ς	PROPN
ejpam-4353	423	16	)	)	PUNCT
ejpam-4353	423	17	c	c	NOUN
ejpam-4353	423	18	,	,	PUNCT
ejpam-4353	423	19	c˜̃g	c˜̃g	PROPN
ejpam-4353	423	20	(	(	PUNCT
ejpam-4353	423	21	θ	θ	PROPN
ejpam-4353	423	22	,	,	PUNCT
ejpam-4353	423	23	λ	λ	PROPN
ejpam-4353	423	24	,	,	PUNCT
ejpam-4353	423	25	ς)c	ς)c	NOUN
ejpam-4353	423	26	=	=	SYM
ejpam-4353	423	27	(	(	PUNCT
ejpam-4353	423	28	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	423	29	,	,	PUNCT
ejpam-4353	423	30	ς	ς	NOUN
ejpam-4353	423	31	)	)	PUNCT
ejpam-4353	423	32	c	c	NOUN
ejpam-4353	423	33	and	and	CCONJ
ejpam-4353	423	34	i˜̃g	i˜̃g	PROPN
ejpam-4353	423	35	(	(	PUNCT
ejpam-4353	423	36	θ	θ	PROPN
ejpam-4353	423	37	,	,	PUNCT
ejpam-4353	423	38	λ	λ	PROPN
ejpam-4353	423	39	,	,	PUNCT
ejpam-4353	423	40	ς	ς	NOUN
ejpam-4353	423	41	)	)	PUNCT
ejpam-4353	423	42	=	=	SYM
ejpam-4353	423	43	(	(	PUNCT
ejpam-4353	423	44	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	423	45	,	,	PUNCT
ejpam-4353	423	46	ς	ς	NOUN
ejpam-4353	423	47	)	)	PUNCT
ejpam-4353	423	48	.	.	PUNCT
ejpam-4353	424	1	thus	thus	ADV
ejpam-4353	424	2	,	,	PUNCT
ejpam-4353	424	3	b˜̃g	b˜̃g	NOUN
ejpam-4353	424	4	(	(	PUNCT
ejpam-4353	424	5	θ	θ	PROPN
ejpam-4353	424	6	,	,	PUNCT
ejpam-4353	424	7	λ	λ	PROPN
ejpam-4353	424	8	,	,	PUNCT
ejpam-4353	424	9	ς	ς	NOUN
ejpam-4353	424	10	)	)	PUNCT
ejpam-4353	424	11	=	=	SYM
ejpam-4353	424	12	(	(	PUNCT
ejpam-4353	424	13	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	424	14	,	,	PUNCT
ejpam-4353	424	15	ς	ς	NOUN
ejpam-4353	424	16	)	)	PUNCT
ejpam-4353	424	17	c.	c.	NOUN
ejpam-4353	424	18	hence	hence	ADV
ejpam-4353	424	19	b˜̃g	b˜̃g	PROPN
ejpam-4353	424	20	(	(	PUNCT
ejpam-4353	424	21	θ	θ	NOUN
ejpam-4353	424	22	,	,	PUNCT
ejpam-4353	424	23	λ	λ	PROPN
ejpam-4353	424	24	,	,	PUNCT
ejpam-4353	424	25	ς	ς	PROPN
ejpam-4353	424	26	)	)	PUNCT
ejpam-4353	424	27	˜̃∪	˜̃∪	PROPN
ejpam-4353	424	28	(	(	PUNCT
ejpam-4353	424	29	θ	θ	PROPN
ejpam-4353	424	30	,	,	PUNCT
ejpam-4353	424	31	λ	λ	PROPN
ejpam-4353	424	32	,	,	PUNCT
ejpam-4353	424	33	ς	ς	NOUN
ejpam-4353	424	34	)	)	PUNCT
ejpam-4353	424	35	=	=	SYM
ejpam-4353	424	36	{	{	PUNCT
ejpam-4353	424	37	(	(	PUNCT
ejpam-4353	424	38	ϱ1	ϱ1	NOUN
ejpam-4353	424	39	,	,	PUNCT
ejpam-4353	424	40	{	{	PUNCT
ejpam-4353	424	41	ω1	ω1	PROPN
ejpam-4353	424	42	}	}	PUNCT
ejpam-4353	424	43	,	,	PUNCT
ejpam-4353	424	44	{	{	PUNCT
ejpam-4353	424	45	ω3	ω3	NOUN
ejpam-4353	424	46	}	}	PUNCT
ejpam-4353	424	47	)	)	PUNCT
ejpam-4353	424	48	,	,	PUNCT
ejpam-4353	424	49	(	(	PUNCT
ejpam-4353	424	50	ϱ2	ϱ2	NOUN
ejpam-4353	424	51	,	,	PUNCT
ejpam-4353	424	52	{	{	PUNCT
ejpam-4353	424	53	ω1	ω1	PROPN
ejpam-4353	424	54	}	}	PUNCT
ejpam-4353	424	55	,	,	PUNCT
ejpam-4353	424	56	{	{	PUNCT
ejpam-4353	424	57	ω3	ω3	NOUN
ejpam-4353	424	58	}	}	PUNCT
ejpam-4353	424	59	)	)	PUNCT
ejpam-4353	424	60	}	}	PUNCT
ejpam-4353	424	61	=	=	SYM
ejpam-4353	424	62	(	(	PUNCT
ejpam-4353	424	63	θ	θ	PROPN
ejpam-4353	424	64	,	,	PUNCT
ejpam-4353	424	65	λ	λ	PROPN
ejpam-4353	424	66	,	,	PUNCT
ejpam-4353	424	67	ς	ς	PROPN
ejpam-4353	424	68	)	)	PUNCT
ejpam-4353	424	69	.	.	PUNCT
ejpam-4353	425	1	therefore	therefore	ADV
ejpam-4353	425	2	,	,	PUNCT
ejpam-4353	425	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	425	4	(	(	PUNCT
ejpam-4353	425	5	θ	θ	PROPN
ejpam-4353	425	6	,	,	PUNCT
ejpam-4353	425	7	λ	λ	PROPN
ejpam-4353	425	8	,	,	PUNCT
ejpam-4353	425	9	ς	ς	NOUN
ejpam-4353	425	10	)	)	PUNCT
ejpam-4353	425	11	̸=	̸=	PROPN
ejpam-4353	425	12	b˜̃g	b˜̃g	NOUN
ejpam-4353	425	13	(	(	PUNCT
ejpam-4353	425	14	θ	θ	PROPN
ejpam-4353	425	15	,	,	PUNCT
ejpam-4353	425	16	λ	λ	PROPN
ejpam-4353	425	17	,	,	PUNCT
ejpam-4353	425	18	ς	ς	PROPN
ejpam-4353	425	19	)	)	PUNCT
ejpam-4353	425	20	˜̃∪	˜̃∪	PROPN
ejpam-4353	425	21	(	(	PUNCT
ejpam-4353	425	22	θ	θ	PROPN
ejpam-4353	425	23	,	,	PUNCT
ejpam-4353	425	24	λ	λ	PROPN
ejpam-4353	425	25	,	,	PUNCT
ejpam-4353	425	26	ς	ς	PROPN
ejpam-4353	425	27	)	)	PUNCT
ejpam-4353	425	28	.	.	PUNCT
ejpam-4353	426	1	also	also	ADV
ejpam-4353	426	2	,	,	PUNCT
ejpam-4353	426	3	(	(	PUNCT
ejpam-4353	426	4	θ	θ	NOUN
ejpam-4353	426	5	,	,	PUNCT
ejpam-4353	426	6	λ	λ	PROPN
ejpam-4353	426	7	,	,	PUNCT
ejpam-4353	426	8	ς	ς	NOUN
ejpam-4353	426	9	)	)	PUNCT
ejpam-4353	426	10	˜̃\b˜̃g	˜̃\b˜̃g	NOUN
ejpam-4353	426	11	(	(	PUNCT
ejpam-4353	426	12	θ	θ	NOUN
ejpam-4353	426	13	,	,	PUNCT
ejpam-4353	426	14	λ	λ	PROPN
ejpam-4353	426	15	,	,	PUNCT
ejpam-4353	426	16	ς	ς	NOUN
ejpam-4353	426	17	)	)	PUNCT
ejpam-4353	426	18	=	=	SYM
ejpam-4353	426	19	{	{	PUNCT
ejpam-4353	426	20	(	(	PUNCT
ejpam-4353	426	21	ϱ1	ϱ1	PROPN
ejpam-4353	426	22	,	,	PUNCT
ejpam-4353	426	23	ϕ	ϕ	NOUN
ejpam-4353	426	24	,	,	PUNCT
ejpam-4353	426	25	{	{	PUNCT
ejpam-4353	426	26	ω3	ω3	NOUN
ejpam-4353	426	27	}	}	PUNCT
ejpam-4353	426	28	)	)	PUNCT
ejpam-4353	426	29	,	,	PUNCT
ejpam-4353	426	30	(	(	PUNCT
ejpam-4353	426	31	ϱ2	ϱ2	NOUN
ejpam-4353	426	32	,	,	PUNCT
ejpam-4353	426	33	{	{	PUNCT
ejpam-4353	426	34	ω1	ω1	PROPN
ejpam-4353	426	35	}	}	PUNCT
ejpam-4353	426	36	,	,	PUNCT
ejpam-4353	426	37	{	{	PUNCT
ejpam-4353	426	38	ω3	ω3	NOUN
ejpam-4353	426	39	}	}	PUNCT
ejpam-4353	426	40	)	)	PUNCT
ejpam-4353	426	41	}	}	PUNCT
ejpam-4353	426	42	.	.	PUNCT
ejpam-4353	427	1	thus	thus	ADV
ejpam-4353	427	2	,	,	PUNCT
ejpam-4353	427	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	427	4	(	(	PUNCT
ejpam-4353	427	5	θ	θ	NOUN
ejpam-4353	427	6	,	,	PUNCT
ejpam-4353	427	7	λ	λ	PROPN
ejpam-4353	427	8	,	,	PUNCT
ejpam-4353	427	9	ς	ς	NOUN
ejpam-4353	427	10	)	)	PUNCT
ejpam-4353	427	11	̸=	̸=	PROPN
ejpam-4353	427	12	(	(	PUNCT
ejpam-4353	427	13	θ	θ	PROPN
ejpam-4353	427	14	,	,	PUNCT
ejpam-4353	427	15	λ	λ	PROPN
ejpam-4353	427	16	,	,	PUNCT
ejpam-4353	427	17	ς	ς	NOUN
ejpam-4353	427	18	)	)	PUNCT
ejpam-4353	427	19	˜̃\b˜̃g	˜̃\b˜̃g	NOUN
ejpam-4353	427	20	(	(	PUNCT
ejpam-4353	427	21	θ	θ	NOUN
ejpam-4353	427	22	,	,	PUNCT
ejpam-4353	427	23	λ	λ	PROPN
ejpam-4353	427	24	,	,	PUNCT
ejpam-4353	427	25	ς	ς	PROPN
ejpam-4353	427	26	)	)	PUNCT
ejpam-4353	427	27	.	.	PUNCT
ejpam-4353	428	1	now	now	ADV
ejpam-4353	428	2	,	,	PUNCT
ejpam-4353	428	3	if	if	SCONJ
ejpam-4353	428	4	we	we	PRON
ejpam-4353	428	5	take	take	VERB
ejpam-4353	428	6	(	(	PUNCT
ejpam-4353	428	7	χ	χ	NOUN
ejpam-4353	428	8	,	,	PUNCT
ejpam-4353	428	9	ψ	ψ	X
ejpam-4353	428	10	,	,	PUNCT
ejpam-4353	428	11	ς	ς	NOUN
ejpam-4353	428	12	)	)	PUNCT
ejpam-4353	428	13	=	=	SYM
ejpam-4353	428	14	{	{	PUNCT
ejpam-4353	428	15	(	(	PUNCT
ejpam-4353	428	16	ϱ1	ϱ1	PROPN
ejpam-4353	428	17	,	,	PUNCT
ejpam-4353	428	18	ϕ	ϕ	NOUN
ejpam-4353	428	19	,	,	PUNCT
ejpam-4353	428	20	{	{	PUNCT
ejpam-4353	428	21	ω2	ω2	ADJ
ejpam-4353	428	22	}	}	PUNCT
ejpam-4353	428	23	)	)	PUNCT
ejpam-4353	428	24	,	,	PUNCT
ejpam-4353	428	25	(	(	PUNCT
ejpam-4353	428	26	ϱ2	ϱ2	PROPN
ejpam-4353	428	27	,	,	PUNCT
ejpam-4353	428	28	ϕ	ϕ	NOUN
ejpam-4353	428	29	,	,	PUNCT
ejpam-4353	428	30	{	{	PUNCT
ejpam-4353	428	31	ω3	ω3	NOUN
ejpam-4353	428	32	}	}	PUNCT
ejpam-4353	428	33	)	)	PUNCT
ejpam-4353	428	34	}	}	PUNCT
ejpam-4353	428	35	is	be	AUX
ejpam-4353	428	36	a	a	DET
ejpam-4353	428	37	bipolar	bipolar	ADJ
ejpam-4353	428	38	soft	soft	ADJ
ejpam-4353	428	39	set	set	NOUN
ejpam-4353	428	40	.	.	PUNCT
ejpam-4353	429	1	then	then	ADV
ejpam-4353	429	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	429	3	(	(	PUNCT
ejpam-4353	429	4	χ	χ	NOUN
ejpam-4353	429	5	,	,	PUNCT
ejpam-4353	429	6	ψ	ψ	X
ejpam-4353	429	7	,	,	PUNCT
ejpam-4353	429	8	ς	ς	NOUN
ejpam-4353	429	9	)	)	PUNCT
ejpam-4353	429	10	=	=	SYM
ejpam-4353	429	11	(	(	PUNCT
ejpam-4353	429	12	φ	φ	PROPN
ejpam-4353	429	13	,	,	PUNCT
ejpam-4353	429	14	˜̃	˜̃	NOUN
ejpam-4353	429	15	ω	ω	PROPN
ejpam-4353	429	16	,	,	PUNCT
ejpam-4353	429	17	ς	ς	PROPN
ejpam-4353	429	18	)	)	PUNCT
ejpam-4353	429	19	.	.	PUNCT
ejpam-4353	430	1	hence	hence	ADV
ejpam-4353	430	2	b˜̃g	b˜̃g	PROPN
ejpam-4353	430	3	(	(	PUNCT
ejpam-4353	430	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	430	5	(	(	PUNCT
ejpam-4353	430	6	χ	χ	NOUN
ejpam-4353	430	7	,	,	PUNCT
ejpam-4353	430	8	ψ	ψ	PROPN
ejpam-4353	430	9	,	,	PUNCT
ejpam-4353	430	10	ς	ς	NOUN
ejpam-4353	430	11	)	)	PUNCT
ejpam-4353	430	12	)	)	PUNCT
ejpam-4353	431	1	=	=	PRON
ejpam-4353	431	2	{	{	PUNCT
ejpam-4353	431	3	(	(	PUNCT
ejpam-4353	431	4	ϱ1	ϱ1	PROPN
ejpam-4353	431	5	,	,	PUNCT
ejpam-4353	431	6	ϕ	ϕ	NOUN
ejpam-4353	431	7	,	,	PUNCT
ejpam-4353	431	8	{	{	PUNCT
ejpam-4353	431	9	ω3	ω3	NOUN
ejpam-4353	431	10	}	}	PUNCT
ejpam-4353	431	11	)	)	PUNCT
ejpam-4353	431	12	,	,	PUNCT
ejpam-4353	431	13	(	(	PUNCT
ejpam-4353	431	14	ϱ2	ϱ2	PROPN
ejpam-4353	431	15	,	,	PUNCT
ejpam-4353	431	16	ϕ	ϕ	NOUN
ejpam-4353	431	17	,	,	PUNCT
ejpam-4353	431	18	{	{	PUNCT
ejpam-4353	431	19	ω1	ω1	PROPN
ejpam-4353	431	20	,	,	PUNCT
ejpam-4353	431	21	ω3	ω3	ADJ
ejpam-4353	431	22	}	}	PUNCT
ejpam-4353	431	23	)	)	PUNCT
ejpam-4353	431	24	}	}	PUNCT
ejpam-4353	431	25	=	=	SYM
ejpam-4353	431	26	(	(	PUNCT
ejpam-4353	431	27	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	431	28	,	,	PUNCT
ejpam-4353	431	29	ς	ς	NOUN
ejpam-4353	431	30	)	)	PUNCT
ejpam-4353	431	31	c	c	NOUN
ejpam-4353	431	32	and	and	CCONJ
ejpam-4353	431	33	b˜̃g	b˜̃g	PROPN
ejpam-4353	431	34	(	(	PUNCT
ejpam-4353	431	35	χ	χ	NOUN
ejpam-4353	431	36	,	,	PUNCT
ejpam-4353	431	37	ψ	ψ	X
ejpam-4353	431	38	,	,	PUNCT
ejpam-4353	431	39	ς	ς	NOUN
ejpam-4353	431	40	)	)	PUNCT
ejpam-4353	431	41	=	=	SYM
ejpam-4353	431	42	(	(	PUNCT
ejpam-4353	431	43	˜̃	˜̃	NOUN
ejpam-4353	431	44	ω	ω	PROPN
ejpam-4353	431	45	,	,	PUNCT
ejpam-4353	431	46	φ	φ	PROPN
ejpam-4353	431	47	,	,	PUNCT
ejpam-4353	431	48	ς	ς	PROPN
ejpam-4353	431	49	)	)	PUNCT
ejpam-4353	431	50	.	.	PUNCT
ejpam-4353	432	1	thus	thus	ADV
ejpam-4353	432	2	,	,	PUNCT
ejpam-4353	432	3	b˜̃g	b˜̃g	NOUN
ejpam-4353	432	4	(	(	PUNCT
ejpam-4353	432	5	i˜̃g	i˜̃g	NOUN
ejpam-4353	432	6	(	(	PUNCT
ejpam-4353	432	7	χ	χ	NOUN
ejpam-4353	432	8	,	,	PUNCT
ejpam-4353	432	9	ψ	ψ	PROPN
ejpam-4353	432	10	,	,	PUNCT
ejpam-4353	432	11	ς	ς	NOUN
ejpam-4353	432	12	)	)	PUNCT
ejpam-4353	432	13	)	)	PUNCT
ejpam-4353	432	14	̸=	̸=	PROPN
ejpam-4353	432	15	b˜̃g	b˜̃g	NOUN
ejpam-4353	432	16	(	(	PUNCT
ejpam-4353	432	17	χ	χ	NOUN
ejpam-4353	432	18	,	,	PUNCT
ejpam-4353	432	19	ψ	ψ	X
ejpam-4353	432	20	,	,	PUNCT
ejpam-4353	432	21	ς	ς	PROPN
ejpam-4353	432	22	)	)	PUNCT
ejpam-4353	432	23	.	.	PUNCT
ejpam-4353	433	1	also	also	ADV
ejpam-4353	433	2	,	,	PUNCT
ejpam-4353	433	3	c˜̃g	c˜̃g	PROPN
ejpam-4353	433	4	(	(	PUNCT
ejpam-4353	433	5	χ	χ	NOUN
ejpam-4353	433	6	,	,	PUNCT
ejpam-4353	433	7	ψ	ψ	X
ejpam-4353	433	8	,	,	PUNCT
ejpam-4353	433	9	ς	ς	NOUN
ejpam-4353	433	10	)	)	PUNCT
ejpam-4353	433	11	=	=	SYM
ejpam-4353	433	12	(	(	PUNCT
ejpam-4353	433	13	˜̃	˜̃	NOUN
ejpam-4353	433	14	ω	ω	PROPN
ejpam-4353	433	15	,	,	PUNCT
ejpam-4353	433	16	φ	φ	PROPN
ejpam-4353	433	17	,	,	PUNCT
ejpam-4353	433	18	ς	ς	PROPN
ejpam-4353	433	19	)	)	PUNCT
ejpam-4353	433	20	.	.	PUNCT
ejpam-4353	434	1	hence	hence	ADV
ejpam-4353	434	2	,	,	PUNCT
ejpam-4353	434	3	b˜̃g	b˜̃g	PROPN
ejpam-4353	434	4	(	(	PUNCT
ejpam-4353	434	5	c˜̃g	c˜̃g	PROPN
ejpam-4353	434	6	(	(	PUNCT
ejpam-4353	434	7	χ	χ	NOUN
ejpam-4353	434	8	,	,	PUNCT
ejpam-4353	434	9	ψ	ψ	PROPN
ejpam-4353	434	10	,	,	PUNCT
ejpam-4353	434	11	ς	ς	NOUN
ejpam-4353	434	12	)	)	PUNCT
ejpam-4353	434	13	)	)	PUNCT
ejpam-4353	435	1	=	=	PRON
ejpam-4353	435	2	(	(	PUNCT
ejpam-4353	435	3	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	435	4	,	,	PUNCT
ejpam-4353	435	5	ς	ς	PROPN
ejpam-4353	435	6	)	)	PUNCT
ejpam-4353	435	7	c.	c.	NOUN
ejpam-4353	435	8	therefore	therefore	ADV
ejpam-4353	435	9	,	,	PUNCT
ejpam-4353	435	10	b˜̃g	b˜̃g	PROPN
ejpam-4353	435	11	(	(	PUNCT
ejpam-4353	435	12	c˜̃g	c˜̃g	PROPN
ejpam-4353	435	13	(	(	PUNCT
ejpam-4353	435	14	χ	χ	NOUN
ejpam-4353	435	15	,	,	PUNCT
ejpam-4353	435	16	ψ	ψ	PROPN
ejpam-4353	435	17	,	,	PUNCT
ejpam-4353	435	18	ς	ς	NOUN
ejpam-4353	435	19	)	)	PUNCT
ejpam-4353	435	20	)	)	PUNCT
ejpam-4353	435	21	̸=	̸=	PROPN
ejpam-4353	435	22	b˜̃g	b˜̃g	NOUN
ejpam-4353	435	23	(	(	PUNCT
ejpam-4353	435	24	χ	χ	NOUN
ejpam-4353	435	25	,	,	PUNCT
ejpam-4353	435	26	ψ	ψ	X
ejpam-4353	435	27	,	,	PUNCT
ejpam-4353	435	28	ς	ς	PROPN
ejpam-4353	435	29	)	)	PUNCT
ejpam-4353	435	30	.	.	PUNCT
ejpam-4353	436	1	theorem	theorem	VERB
ejpam-4353	436	2	11	11	NUM
ejpam-4353	436	3	.	.	PUNCT
ejpam-4353	437	1	let	let	VERB
ejpam-4353	437	2	(	(	PUNCT
ejpam-4353	437	3	ω	ω	NOUN
ejpam-4353	437	4	,	,	PUNCT
ejpam-4353	437	5	˜̃g	˜̃g	PROPN
ejpam-4353	437	6	,	,	PUNCT
ejpam-4353	437	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	437	8	)	)	PUNCT
ejpam-4353	437	9	be	be	VERB
ejpam-4353	437	10	a	a	DET
ejpam-4353	437	11	bsgt	bsgt	NOUN
ejpam-4353	437	12	s	s	PRON
ejpam-4353	437	13	and	and	CCONJ
ejpam-4353	437	14	(	(	PUNCT
ejpam-4353	437	15	θ	θ	PROPN
ejpam-4353	437	16	,	,	PUNCT
ejpam-4353	437	17	λ	λ	PROPN
ejpam-4353	437	18	,	,	PUNCT
ejpam-4353	437	19	ς	ς	PROPN
ejpam-4353	437	20	)	)	PUNCT
ejpam-4353	437	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	437	22	bss(ω	bss(ω	PROPN
ejpam-4353	437	23	)	)	PUNCT
ejpam-4353	437	24	.	.	PUNCT
ejpam-4353	438	1	then	then	ADV
ejpam-4353	438	2	b˜̃g	b˜̃g	VERB
ejpam-4353	438	3	(	(	PUNCT
ejpam-4353	438	4	θ	θ	PROPN
ejpam-4353	438	5	,	,	PUNCT
ejpam-4353	438	6	λ	λ	PROPN
ejpam-4353	438	7	,	,	PUNCT
ejpam-4353	438	8	ς	ς	NOUN
ejpam-4353	438	9	)	)	PUNCT
ejpam-4353	438	10	˜̃∩	˜̃∩	ADV
ejpam-4353	438	11	i˜̃g	i˜̃g	NOUN
ejpam-4353	438	12	(	(	PUNCT
ejpam-4353	438	13	θ	θ	PROPN
ejpam-4353	438	14	,	,	PUNCT
ejpam-4353	438	15	λ	λ	PROPN
ejpam-4353	438	16	,	,	PUNCT
ejpam-4353	438	17	ς	ς	NOUN
ejpam-4353	438	18	)	)	PUNCT
ejpam-4353	438	19	=	=	SYM
ejpam-4353	438	20	(	(	PUNCT
ejpam-4353	438	21	φ	φ	PROPN
ejpam-4353	438	22	,	,	PUNCT
ejpam-4353	438	23	λ	λ	PROPN
ejpam-4353	438	24	,	,	PUNCT
ejpam-4353	438	25	ς	ς	NOUN
ejpam-4353	438	26	)	)	PUNCT
ejpam-4353	438	27	.	.	PUNCT
ejpam-4353	439	1	proof	proof	NOUN
ejpam-4353	439	2	.	.	PUNCT
ejpam-4353	440	1	we	we	PRON
ejpam-4353	440	2	start	start	VERB
ejpam-4353	440	3	by	by	ADP
ejpam-4353	440	4	b˜̃g	b˜̃g	PROPN
ejpam-4353	440	5	(	(	PUNCT
ejpam-4353	440	6	θ	θ	PROPN
ejpam-4353	440	7	,	,	PUNCT
ejpam-4353	440	8	λ	λ	PROPN
ejpam-4353	440	9	,	,	PUNCT
ejpam-4353	440	10	ς)˜̃∩i˜̃g	ς)˜̃∩i˜̃g	PROPN
ejpam-4353	440	11	(	(	PUNCT
ejpam-4353	440	12	θ	θ	PROPN
ejpam-4353	440	13	,	,	PUNCT
ejpam-4353	440	14	λ	λ	PROPN
ejpam-4353	440	15	,	,	PUNCT
ejpam-4353	440	16	ς	ς	NOUN
ejpam-4353	440	17	)	)	PUNCT
ejpam-4353	440	18	=	=	SYM
ejpam-4353	440	19	(	(	PUNCT
ejpam-4353	440	20	c˜̃g	c˜̃g	PROPN
ejpam-4353	440	21	(	(	PUNCT
ejpam-4353	440	22	θ	θ	PROPN
ejpam-4353	440	23	,	,	PUNCT
ejpam-4353	440	24	λ	λ	PROPN
ejpam-4353	440	25	,	,	PUNCT
ejpam-4353	440	26	ς)˜̃\i˜̃g	ς)˜̃\i˜̃g	NOUN
ejpam-4353	440	27	(	(	PUNCT
ejpam-4353	440	28	θ	θ	PROPN
ejpam-4353	440	29	,	,	PUNCT
ejpam-4353	440	30	λ	λ	PROPN
ejpam-4353	440	31	,	,	PUNCT
ejpam-4353	440	32	ς))˜̃∩i˜̃g	ς))˜̃∩i˜̃g	NUM
ejpam-4353	440	33	(	(	PUNCT
ejpam-4353	440	34	θ	θ	PROPN
ejpam-4353	440	35	,	,	PUNCT
ejpam-4353	440	36	λ	λ	PROPN
ejpam-4353	440	37	,	,	PUNCT
ejpam-4353	440	38	ς	ς	PROPN
ejpam-4353	440	39	)	)	PUNCT
ejpam-4353	440	40	h.	h.	PROPN
ejpam-4353	440	41	y.	y.	PROPN
ejpam-4353	440	42	saleh	saleh	PROPN
ejpam-4353	440	43	,	,	PUNCT
ejpam-4353	440	44	b.	b.	PROPN
ejpam-4353	440	45	a.	a.	PROPN
ejpam-4353	440	46	asaad	asaad	PROPN
ejpam-4353	440	47	,	,	PUNCT
ejpam-4353	440	48	r.	r.	PROPN
ejpam-4353	440	49	a.	a.	PROPN
ejpam-4353	440	50	mohammed	mohammed	PROPN
ejpam-4353	440	51	/	/	SYM
ejpam-4353	440	52	eur	eur	PROPN
ejpam-4353	440	53	.	.	PUNCT
ejpam-4353	441	1	j.	j.	PROPN
ejpam-4353	441	2	pure	pure	PROPN
ejpam-4353	441	3	appl	appl	PROPN
ejpam-4353	441	4	.	.	PROPN
ejpam-4353	441	5	math	math	PROPN
ejpam-4353	441	6	,	,	PUNCT
ejpam-4353	441	7	15	15	NUM
ejpam-4353	441	8	(	(	PUNCT
ejpam-4353	441	9	2	2	NUM
ejpam-4353	441	10	)	)	PUNCT
ejpam-4353	441	11	(	(	PUNCT
ejpam-4353	441	12	2022	2022	NUM
ejpam-4353	441	13	)	)	PUNCT
ejpam-4353	441	14	,	,	PUNCT
ejpam-4353	441	15	646	646	NUM
ejpam-4353	441	16	-	-	SYM
ejpam-4353	441	17	671	671	NUM
ejpam-4353	441	18	664	664	NUM
ejpam-4353	441	19	=	=	SYM
ejpam-4353	441	20	c˜̃g	c˜̃g	X
ejpam-4353	441	21	(	(	PUNCT
ejpam-4353	441	22	θ	θ	PROPN
ejpam-4353	441	23	,	,	PUNCT
ejpam-4353	441	24	λ	λ	PROPN
ejpam-4353	441	25	,	,	PUNCT
ejpam-4353	441	26	ς)˜̃∩(i˜̃g	ς)˜̃∩(i˜̃g	NOUN
ejpam-4353	441	27	(	(	PUNCT
ejpam-4353	441	28	θ	θ	NOUN
ejpam-4353	441	29	,	,	PUNCT
ejpam-4353	441	30	λ	λ	PROPN
ejpam-4353	441	31	,	,	PUNCT
ejpam-4353	441	32	ς)c	ς)c	ADJ
ejpam-4353	441	33	˜̃∩i˜̃g	˜̃∩i˜̃g	X
ejpam-4353	441	34	(	(	PUNCT
ejpam-4353	441	35	θ	θ	PROPN
ejpam-4353	441	36	,	,	PUNCT
ejpam-4353	441	37	λ	λ	PROPN
ejpam-4353	441	38	,	,	PUNCT
ejpam-4353	441	39	ς	ς	NOUN
ejpam-4353	441	40	)	)	PUNCT
ejpam-4353	441	41	=	=	SYM
ejpam-4353	441	42	c˜̃g	c˜̃g	NOUN
ejpam-4353	441	43	(	(	PUNCT
ejpam-4353	441	44	θ	θ	PROPN
ejpam-4353	441	45	,	,	PUNCT
ejpam-4353	441	46	λ	λ	PROPN
ejpam-4353	441	47	,	,	PUNCT
ejpam-4353	441	48	ς)˜̃∩(φ	ς)˜̃∩(φ	PROPN
ejpam-4353	441	49	,	,	PUNCT
ejpam-4353	441	50	λ	λ	PROPN
ejpam-4353	441	51	,	,	PUNCT
ejpam-4353	441	52	ς	ς	NOUN
ejpam-4353	441	53	)	)	PUNCT
ejpam-4353	441	54	=	=	SYM
ejpam-4353	441	55	(	(	PUNCT
ejpam-4353	441	56	φ	φ	PROPN
ejpam-4353	441	57	,	,	PUNCT
ejpam-4353	441	58	λ	λ	PROPN
ejpam-4353	441	59	,	,	PUNCT
ejpam-4353	441	60	ς	ς	PROPN
ejpam-4353	441	61	)	)	PUNCT
ejpam-4353	441	62	.	.	PUNCT
ejpam-4353	442	1	theorem	theorem	NOUN
ejpam-4353	442	2	12	12	NUM
ejpam-4353	442	3	.	.	PUNCT
ejpam-4353	443	1	let	let	VERB
ejpam-4353	443	2	(	(	PUNCT
ejpam-4353	443	3	ω	ω	NOUN
ejpam-4353	443	4	,	,	PUNCT
ejpam-4353	443	5	˜̃g	˜̃g	PROPN
ejpam-4353	443	6	,	,	PUNCT
ejpam-4353	443	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	443	8	)	)	PUNCT
ejpam-4353	443	9	be	be	VERB
ejpam-4353	443	10	a	a	DET
ejpam-4353	443	11	bsgt	bsgt	NOUN
ejpam-4353	443	12	s	s	PRON
ejpam-4353	443	13	and	and	CCONJ
ejpam-4353	443	14	(	(	PUNCT
ejpam-4353	443	15	θ	θ	PROPN
ejpam-4353	443	16	,	,	PUNCT
ejpam-4353	443	17	λ	λ	PROPN
ejpam-4353	443	18	,	,	PUNCT
ejpam-4353	443	19	ς	ς	PROPN
ejpam-4353	443	20	)	)	PUNCT
ejpam-4353	443	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	443	22	bss(ω	bss(ω	PROPN
ejpam-4353	443	23	)	)	PUNCT
ejpam-4353	443	24	.	.	PUNCT
ejpam-4353	444	1	then	then	ADV
ejpam-4353	444	2	the	the	DET
ejpam-4353	444	3	following	follow	VERB
ejpam-4353	444	4	hold	hold	NOUN
ejpam-4353	444	5	:	:	PUNCT
ejpam-4353	444	6	(	(	PUNCT
ejpam-4353	444	7	i	i	NOUN
ejpam-4353	444	8	)	)	PUNCT
ejpam-4353	444	9	if	if	SCONJ
ejpam-4353	444	10	(	(	PUNCT
ejpam-4353	444	11	θ	θ	NOUN
ejpam-4353	444	12	,	,	PUNCT
ejpam-4353	444	13	λ	λ	PROPN
ejpam-4353	444	14	,	,	PUNCT
ejpam-4353	444	15	ς	ς	NOUN
ejpam-4353	444	16	)	)	PUNCT
ejpam-4353	444	17	˜̃∈	˜̃∈	PROPN
ejpam-4353	444	18	˜̃g	˜̃g	PROPN
ejpam-4353	444	19	,	,	PUNCT
ejpam-4353	444	20	then	then	ADV
ejpam-4353	444	21	(	(	PUNCT
ejpam-4353	444	22	θ	θ	NOUN
ejpam-4353	444	23	,	,	PUNCT
ejpam-4353	444	24	λ	λ	PROPN
ejpam-4353	444	25	,	,	PUNCT
ejpam-4353	444	26	ς	ς	NOUN
ejpam-4353	444	27	)	)	PUNCT
ejpam-4353	444	28	˜̃∩	˜̃∩	ADV
ejpam-4353	444	29	b˜̃g	b˜̃g	PROPN
ejpam-4353	444	30	(	(	PUNCT
ejpam-4353	444	31	θ	θ	PROPN
ejpam-4353	444	32	,	,	PUNCT
ejpam-4353	444	33	λ	λ	PROPN
ejpam-4353	444	34	,	,	PUNCT
ejpam-4353	444	35	ς	ς	NOUN
ejpam-4353	444	36	)	)	PUNCT
ejpam-4353	444	37	=	=	SYM
ejpam-4353	444	38	(	(	PUNCT
ejpam-4353	444	39	φ	φ	PROPN
ejpam-4353	444	40	,	,	PUNCT
ejpam-4353	444	41	λ	λ	PROPN
ejpam-4353	444	42	,	,	PUNCT
ejpam-4353	444	43	ς	ς	PROPN
ejpam-4353	444	44	)	)	PUNCT
ejpam-4353	444	45	.	.	PUNCT
ejpam-4353	445	1	(	(	PUNCT
ejpam-4353	445	2	ii	ii	NOUN
ejpam-4353	445	3	)	)	PUNCT
ejpam-4353	445	4	if	if	SCONJ
ejpam-4353	445	5	(	(	PUNCT
ejpam-4353	445	6	θ	θ	NOUN
ejpam-4353	445	7	,	,	PUNCT
ejpam-4353	445	8	λ	λ	PROPN
ejpam-4353	445	9	,	,	PUNCT
ejpam-4353	445	10	ς	ς	NOUN
ejpam-4353	445	11	)	)	PUNCT
ejpam-4353	445	12	is	be	AUX
ejpam-4353	445	13	bipolar	bipolar	ADJ
ejpam-4353	445	14	soft	soft	ADJ
ejpam-4353	445	15	˜̃g	˜̃g	NOUN
ejpam-4353	445	16	-	-	PUNCT
ejpam-4353	445	17	closed	closed	ADJ
ejpam-4353	445	18	,	,	PUNCT
ejpam-4353	445	19	then	then	ADV
ejpam-4353	445	20	b˜̃g	b˜̃g	NOUN
ejpam-4353	445	21	(	(	PUNCT
ejpam-4353	445	22	θ	θ	PROPN
ejpam-4353	445	23	,	,	PUNCT
ejpam-4353	445	24	λ	λ	PROPN
ejpam-4353	445	25	,	,	PUNCT
ejpam-4353	445	26	ς	ς	PROPN
ejpam-4353	445	27	)	)	PUNCT
ejpam-4353	445	28	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	445	29	(	(	PUNCT
ejpam-4353	445	30	θ	θ	PROPN
ejpam-4353	445	31	,	,	PUNCT
ejpam-4353	445	32	λ	λ	PROPN
ejpam-4353	445	33	,	,	PUNCT
ejpam-4353	445	34	ς	ς	NOUN
ejpam-4353	445	35	)	)	PUNCT
ejpam-4353	445	36	.	.	PUNCT
ejpam-4353	446	1	proof	proof	NOUN
ejpam-4353	446	2	.	.	PUNCT
ejpam-4353	447	1	(	(	PUNCT
ejpam-4353	447	2	i	i	NOUN
ejpam-4353	447	3	)	)	PUNCT
ejpam-4353	447	4	suppose	suppose	VERB
ejpam-4353	447	5	(	(	PUNCT
ejpam-4353	447	6	θ	θ	NOUN
ejpam-4353	447	7	,	,	PUNCT
ejpam-4353	447	8	λ	λ	PROPN
ejpam-4353	447	9	,	,	PUNCT
ejpam-4353	447	10	ς	ς	NOUN
ejpam-4353	447	11	)	)	PUNCT
ejpam-4353	447	12	˜̃∈	˜̃∈	PROPN
ejpam-4353	447	13	˜̃g	˜̃g	PROPN
ejpam-4353	447	14	.	.	PUNCT
ejpam-4353	448	1	then	then	ADV
ejpam-4353	448	2	by	by	ADP
ejpam-4353	448	3	theorem	theorem	NOUN
ejpam-4353	448	4	5	5	NUM
ejpam-4353	448	5	(	(	PUNCT
ejpam-4353	448	6	ii	ii	NOUN
ejpam-4353	448	7	)	)	PUNCT
ejpam-4353	448	8	,	,	PUNCT
ejpam-4353	448	9	we	we	PRON
ejpam-4353	448	10	have	have	VERB
ejpam-4353	448	11	(	(	PUNCT
ejpam-4353	448	12	θ	θ	NOUN
ejpam-4353	448	13	,	,	PUNCT
ejpam-4353	448	14	λ	λ	PROPN
ejpam-4353	448	15	,	,	PUNCT
ejpam-4353	448	16	ς	ς	NOUN
ejpam-4353	448	17	)	)	PUNCT
ejpam-4353	448	18	=	=	NOUN
ejpam-4353	448	19	i˜̃g	i˜̃g	NOUN
ejpam-4353	448	20	(	(	PUNCT
ejpam-4353	448	21	θ	θ	PROPN
ejpam-4353	448	22	,	,	PUNCT
ejpam-4353	448	23	λ	λ	PROPN
ejpam-4353	448	24	,	,	PUNCT
ejpam-4353	448	25	ς	ς	PROPN
ejpam-4353	448	26	)	)	PUNCT
ejpam-4353	448	27	.	.	PUNCT
ejpam-4353	449	1	since	since	SCONJ
ejpam-4353	449	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	449	3	(	(	PUNCT
ejpam-4353	449	4	θ	θ	NOUN
ejpam-4353	449	5	,	,	PUNCT
ejpam-4353	449	6	λ	λ	PROPN
ejpam-4353	449	7	,	,	PUNCT
ejpam-4353	449	8	ς	ς	PROPN
ejpam-4353	449	9	)	)	PUNCT
ejpam-4353	449	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	449	11	(	(	PUNCT
ejpam-4353	449	12	b˜̃g	b˜̃g	PROPN
ejpam-4353	449	13	(	(	PUNCT
ejpam-4353	449	14	θ	θ	PROPN
ejpam-4353	449	15	,	,	PUNCT
ejpam-4353	449	16	λ	λ	PROPN
ejpam-4353	449	17	,	,	PUNCT
ejpam-4353	449	18	ς))c	ς))c	NOUN
ejpam-4353	449	19	.	.	PUNCT
ejpam-4353	450	1	that	that	PRON
ejpam-4353	450	2	means	mean	VERB
ejpam-4353	450	3	(	(	PUNCT
ejpam-4353	450	4	θ	θ	NOUN
ejpam-4353	450	5	,	,	PUNCT
ejpam-4353	450	6	λ	λ	PROPN
ejpam-4353	450	7	,	,	PUNCT
ejpam-4353	450	8	ς	ς	PROPN
ejpam-4353	450	9	)	)	PUNCT
ejpam-4353	450	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	450	11	(	(	PUNCT
ejpam-4353	450	12	b˜̃g	b˜̃g	PROPN
ejpam-4353	450	13	(	(	PUNCT
ejpam-4353	450	14	θ	θ	PROPN
ejpam-4353	450	15	,	,	PUNCT
ejpam-4353	450	16	λ	λ	PROPN
ejpam-4353	450	17	,	,	PUNCT
ejpam-4353	450	18	ς))c	ς))c	NOUN
ejpam-4353	450	19	.	.	PUNCT
ejpam-4353	451	1	therefore	therefore	ADV
ejpam-4353	451	2	,	,	PUNCT
ejpam-4353	451	3	(	(	PUNCT
ejpam-4353	451	4	θ	θ	NOUN
ejpam-4353	451	5	,	,	PUNCT
ejpam-4353	451	6	λ	λ	PROPN
ejpam-4353	451	7	,	,	PUNCT
ejpam-4353	451	8	ς	ς	NOUN
ejpam-4353	451	9	)	)	PUNCT
ejpam-4353	451	10	˜̃∩	˜̃∩	ADV
ejpam-4353	451	11	b˜̃g	b˜̃g	PROPN
ejpam-4353	451	12	(	(	PUNCT
ejpam-4353	451	13	θ	θ	PROPN
ejpam-4353	451	14	,	,	PUNCT
ejpam-4353	451	15	λ	λ	PROPN
ejpam-4353	451	16	,	,	PUNCT
ejpam-4353	451	17	ς	ς	NOUN
ejpam-4353	451	18	)	)	PUNCT
ejpam-4353	451	19	=	=	SYM
ejpam-4353	451	20	(	(	PUNCT
ejpam-4353	451	21	φ	φ	PROPN
ejpam-4353	451	22	,	,	PUNCT
ejpam-4353	451	23	λ	λ	PROPN
ejpam-4353	451	24	,	,	PUNCT
ejpam-4353	451	25	ς	ς	PROPN
ejpam-4353	451	26	)	)	PUNCT
ejpam-4353	451	27	.	.	PUNCT
ejpam-4353	452	1	(	(	PUNCT
ejpam-4353	452	2	ii	ii	NOUN
ejpam-4353	452	3	)	)	PUNCT
ejpam-4353	452	4	by	by	ADP
ejpam-4353	452	5	theorem	theorem	NOUN
ejpam-4353	452	6	10	10	NUM
ejpam-4353	452	7	(	(	PUNCT
ejpam-4353	452	8	i	i	NOUN
ejpam-4353	452	9	)	)	PUNCT
ejpam-4353	452	10	,	,	PUNCT
ejpam-4353	452	11	we	we	PRON
ejpam-4353	452	12	have	have	VERB
ejpam-4353	452	13	b˜̃g	b˜̃g	NOUN
ejpam-4353	452	14	(	(	PUNCT
ejpam-4353	452	15	θ	θ	NOUN
ejpam-4353	452	16	,	,	PUNCT
ejpam-4353	452	17	λ	λ	PROPN
ejpam-4353	452	18	,	,	PUNCT
ejpam-4353	452	19	ς	ς	PROPN
ejpam-4353	452	20	)	)	PUNCT
ejpam-4353	452	21	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	452	22	c˜̃g	c˜̃g	PROPN
ejpam-4353	452	23	(	(	PUNCT
ejpam-4353	452	24	θ	θ	PROPN
ejpam-4353	452	25	,	,	PUNCT
ejpam-4353	452	26	λ	λ	PROPN
ejpam-4353	452	27	,	,	PUNCT
ejpam-4353	452	28	ς	ς	PROPN
ejpam-4353	452	29	)	)	PUNCT
ejpam-4353	452	30	.	.	PUNCT
ejpam-4353	453	1	since	since	SCONJ
ejpam-4353	453	2	(	(	PUNCT
ejpam-4353	453	3	θ	θ	NOUN
ejpam-4353	453	4	,	,	PUNCT
ejpam-4353	453	5	λ	λ	PROPN
ejpam-4353	453	6	,	,	PUNCT
ejpam-4353	453	7	ς	ς	NOUN
ejpam-4353	453	8	)	)	PUNCT
ejpam-4353	453	9	is	be	AUX
ejpam-4353	453	10	a	a	DET
ejpam-4353	453	11	bipolar	bipolar	ADJ
ejpam-4353	453	12	soft	soft	ADJ
ejpam-4353	453	13	˜̃g	˜̃g	NOUN
ejpam-4353	453	14	-	-	PUNCT
ejpam-4353	453	15	closed	close	VERB
ejpam-4353	453	16	set	set	NOUN
ejpam-4353	453	17	,	,	PUNCT
ejpam-4353	453	18	then	then	ADV
ejpam-4353	453	19	b˜̃g	b˜̃g	NOUN
ejpam-4353	453	20	(	(	PUNCT
ejpam-4353	453	21	θ	θ	PROPN
ejpam-4353	453	22	,	,	PUNCT
ejpam-4353	453	23	λ	λ	PROPN
ejpam-4353	453	24	,	,	PUNCT
ejpam-4353	453	25	ς	ς	NOUN
ejpam-4353	453	26	)	)	PUNCT
ejpam-4353	453	27	˜̃⊆(θ	˜̃⊆(θ	NOUN
ejpam-4353	453	28	,	,	PUNCT
ejpam-4353	453	29	λ	λ	PROPN
ejpam-4353	453	30	,	,	PUNCT
ejpam-4353	453	31	ς	ς	PROPN
ejpam-4353	453	32	)	)	PUNCT
ejpam-4353	453	33	.	.	PUNCT
ejpam-4353	454	1	the	the	DET
ejpam-4353	454	2	following	follow	VERB
ejpam-4353	454	3	example	example	NOUN
ejpam-4353	454	4	shows	show	VERB
ejpam-4353	454	5	that	that	SCONJ
ejpam-4353	454	6	the	the	DET
ejpam-4353	454	7	converse	converse	NOUN
ejpam-4353	454	8	of	of	ADP
ejpam-4353	454	9	theorem	theorem	NOUN
ejpam-4353	454	10	12	12	NUM
ejpam-4353	454	11	does	do	AUX
ejpam-4353	454	12	not	not	PART
ejpam-4353	454	13	hold	hold	VERB
ejpam-4353	454	14	in	in	ADP
ejpam-4353	454	15	general	general	ADJ
ejpam-4353	454	16	.	.	PUNCT
ejpam-4353	455	1	example	example	NOUN
ejpam-4353	456	1	7	7	NUM
ejpam-4353	456	2	.	.	X
ejpam-4353	456	3	take	take	VERB
ejpam-4353	456	4	the	the	DET
ejpam-4353	456	5	bipolar	bipolar	ADJ
ejpam-4353	456	6	soft	soft	ADJ
ejpam-4353	456	7	set	set	NOUN
ejpam-4353	456	8	(	(	PUNCT
ejpam-4353	456	9	θ	θ	NOUN
ejpam-4353	456	10	,	,	PUNCT
ejpam-4353	456	11	λ	λ	PROPN
ejpam-4353	456	12	,	,	PUNCT
ejpam-4353	456	13	ς	ς	NOUN
ejpam-4353	456	14	)	)	PUNCT
ejpam-4353	456	15	as	as	ADP
ejpam-4353	456	16	in	in	ADP
ejpam-4353	456	17	example	example	NOUN
ejpam-4353	456	18	6	6	NUM
ejpam-4353	456	19	.	.	PUNCT
ejpam-4353	457	1	then	then	ADV
ejpam-4353	457	2	b˜̃g	b˜̃g	VERB
ejpam-4353	457	3	(	(	PUNCT
ejpam-4353	457	4	θ	θ	PROPN
ejpam-4353	457	5	,	,	PUNCT
ejpam-4353	457	6	λ	λ	PROPN
ejpam-4353	457	7	,	,	PUNCT
ejpam-4353	457	8	ς	ς	PROPN
ejpam-4353	457	9	)	)	PUNCT
ejpam-4353	457	10	˜̃∩	˜̃∩	ADV
ejpam-4353	457	11	(	(	PUNCT
ejpam-4353	457	12	θ	θ	PROPN
ejpam-4353	457	13	,	,	PUNCT
ejpam-4353	457	14	λ	λ	PROPN
ejpam-4353	457	15	,	,	PUNCT
ejpam-4353	457	16	ς	ς	NOUN
ejpam-4353	457	17	)	)	PUNCT
ejpam-4353	457	18	=	=	SYM
ejpam-4353	457	19	{	{	PUNCT
ejpam-4353	457	20	(	(	PUNCT
ejpam-4353	457	21	ϱ1	ϱ1	PROPN
ejpam-4353	457	22	,	,	PUNCT
ejpam-4353	457	23	ϕ	ϕ	NOUN
ejpam-4353	457	24	,	,	PUNCT
ejpam-4353	457	25	{	{	PUNCT
ejpam-4353	457	26	ω3	ω3	NOUN
ejpam-4353	457	27	}	}	PUNCT
ejpam-4353	457	28	)	)	PUNCT
ejpam-4353	457	29	,	,	PUNCT
ejpam-4353	457	30	(	(	PUNCT
ejpam-4353	457	31	ϱ2	ϱ2	PROPN
ejpam-4353	457	32	,	,	PUNCT
ejpam-4353	457	33	ϕ	ϕ	NOUN
ejpam-4353	457	34	,	,	PUNCT
ejpam-4353	457	35	{	{	PUNCT
ejpam-4353	457	36	ω1	ω1	PROPN
ejpam-4353	457	37	,	,	PUNCT
ejpam-4353	457	38	ω3	ω3	ADJ
ejpam-4353	457	39	}	}	PUNCT
ejpam-4353	457	40	)	)	PUNCT
ejpam-4353	457	41	}	}	PUNCT
ejpam-4353	457	42	,	,	PUNCT
ejpam-4353	457	43	and	and	CCONJ
ejpam-4353	457	44	b˜̃g	b˜̃g	NOUN
ejpam-4353	457	45	(	(	PUNCT
ejpam-4353	457	46	θ	θ	PROPN
ejpam-4353	457	47	,	,	PUNCT
ejpam-4353	457	48	λ	λ	PROPN
ejpam-4353	457	49	,	,	PUNCT
ejpam-4353	457	50	ς	ς	PROPN
ejpam-4353	457	51	)	)	PUNCT
ejpam-4353	457	52	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	457	53	(	(	PUNCT
ejpam-4353	457	54	θ	θ	PROPN
ejpam-4353	457	55	,	,	PUNCT
ejpam-4353	457	56	λ	λ	PROPN
ejpam-4353	457	57	,	,	PUNCT
ejpam-4353	457	58	ς	ς	PROPN
ejpam-4353	457	59	)	)	PUNCT
ejpam-4353	457	60	.	.	PUNCT
ejpam-4353	458	1	while	while	SCONJ
ejpam-4353	458	2	(	(	PUNCT
ejpam-4353	458	3	θ	θ	NOUN
ejpam-4353	458	4	,	,	PUNCT
ejpam-4353	458	5	λ	λ	PROPN
ejpam-4353	458	6	,	,	PUNCT
ejpam-4353	458	7	ς	ς	NOUN
ejpam-4353	458	8	)	)	PUNCT
ejpam-4353	458	9	˜̃	˜̃	NOUN
ejpam-4353	458	10	/∈	/∈	PROPN
ejpam-4353	458	11	˜̃g	˜̃g	PROPN
ejpam-4353	458	12	and	and	CCONJ
ejpam-4353	458	13	(	(	PUNCT
ejpam-4353	458	14	θ	θ	PROPN
ejpam-4353	458	15	,	,	PUNCT
ejpam-4353	458	16	λ	λ	PROPN
ejpam-4353	458	17	,	,	PUNCT
ejpam-4353	458	18	ς	ς	NOUN
ejpam-4353	458	19	)	)	PUNCT
ejpam-4353	458	20	is	be	AUX
ejpam-4353	458	21	not	not	PART
ejpam-4353	458	22	bipolar	bipolar	ADJ
ejpam-4353	458	23	soft	soft	ADJ
ejpam-4353	458	24	˜̃g	˜̃g	NOUN
ejpam-4353	458	25	-	-	PUNCT
ejpam-4353	458	26	closed	closed	ADJ
ejpam-4353	458	27	.	.	PUNCT
ejpam-4353	459	1	theorem	theorem	VERB
ejpam-4353	459	2	13	13	NUM
ejpam-4353	459	3	.	.	PUNCT
ejpam-4353	460	1	let	let	VERB
ejpam-4353	460	2	(	(	PUNCT
ejpam-4353	460	3	ω	ω	NOUN
ejpam-4353	460	4	,	,	PUNCT
ejpam-4353	460	5	˜̃g	˜̃g	PROPN
ejpam-4353	460	6	,	,	PUNCT
ejpam-4353	460	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	460	8	)	)	PUNCT
ejpam-4353	460	9	be	be	VERB
ejpam-4353	460	10	a	a	DET
ejpam-4353	460	11	bsgt	bsgt	NOUN
ejpam-4353	460	12	s	s	PRON
ejpam-4353	460	13	and	and	CCONJ
ejpam-4353	460	14	(	(	PUNCT
ejpam-4353	460	15	θ	θ	PROPN
ejpam-4353	460	16	,	,	PUNCT
ejpam-4353	460	17	λ	λ	PROPN
ejpam-4353	460	18	,	,	PUNCT
ejpam-4353	460	19	ς	ς	PROPN
ejpam-4353	460	20	)	)	PUNCT
ejpam-4353	460	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	460	22	bss(ω	bss(ω	PROPN
ejpam-4353	460	23	)	)	PUNCT
ejpam-4353	460	24	if	if	SCONJ
ejpam-4353	460	25	(	(	PUNCT
ejpam-4353	460	26	θ	θ	NOUN
ejpam-4353	460	27	,	,	PUNCT
ejpam-4353	460	28	λ	λ	PROPN
ejpam-4353	460	29	,	,	PUNCT
ejpam-4353	460	30	ς	ς	NOUN
ejpam-4353	460	31	)	)	PUNCT
ejpam-4353	460	32	is	be	AUX
ejpam-4353	460	33	both	both	PRON
ejpam-4353	460	34	bipolar	bipolar	ADJ
ejpam-4353	460	35	soft	soft	ADJ
ejpam-4353	460	36	˜̃g	˜̃g	NOUN
ejpam-4353	460	37	-	-	PUNCT
ejpam-4353	460	38	open	open	ADJ
ejpam-4353	460	39	and	and	CCONJ
ejpam-4353	460	40	bipolar	bipolar	ADJ
ejpam-4353	460	41	soft	soft	ADJ
ejpam-4353	460	42	˜̃g	˜̃g	NOUN
ejpam-4353	460	43	-	-	PUNCT
ejpam-4353	460	44	closed	closed	ADJ
ejpam-4353	460	45	.	.	PUNCT
ejpam-4353	461	1	then	then	ADV
ejpam-4353	461	2	b˜̃g	b˜̃g	NOUN
ejpam-4353	461	3	(	(	PUNCT
ejpam-4353	461	4	θ	θ	PROPN
ejpam-4353	461	5	,	,	PUNCT
ejpam-4353	461	6	λ	λ	PROPN
ejpam-4353	461	7	,	,	PUNCT
ejpam-4353	461	8	ς	ς	NOUN
ejpam-4353	461	9	)	)	PUNCT
ejpam-4353	461	10	=	=	SYM
ejpam-4353	461	11	(	(	PUNCT
ejpam-4353	461	12	φ	φ	PROPN
ejpam-4353	461	13	,	,	PUNCT
ejpam-4353	461	14	λ	λ	PROPN
ejpam-4353	461	15	,	,	PUNCT
ejpam-4353	461	16	ς	ς	NOUN
ejpam-4353	461	17	)	)	PUNCT
ejpam-4353	461	18	.	.	PUNCT
ejpam-4353	462	1	proof	proof	NOUN
ejpam-4353	462	2	.	.	PUNCT
ejpam-4353	463	1	assume	assume	VERB
ejpam-4353	463	2	that	that	SCONJ
ejpam-4353	463	3	(	(	PUNCT
ejpam-4353	463	4	θ	θ	NOUN
ejpam-4353	463	5	,	,	PUNCT
ejpam-4353	463	6	λ	λ	PROPN
ejpam-4353	463	7	,	,	PUNCT
ejpam-4353	463	8	ς	ς	NOUN
ejpam-4353	463	9	)	)	PUNCT
ejpam-4353	463	10	is	be	AUX
ejpam-4353	463	11	bipolar	bipolar	ADJ
ejpam-4353	463	12	soft	soft	ADJ
ejpam-4353	463	13	˜̃g	˜̃g	NOUN
ejpam-4353	463	14	-	-	PUNCT
ejpam-4353	463	15	open	open	ADJ
ejpam-4353	463	16	and	and	CCONJ
ejpam-4353	463	17	bipolar	bipolar	ADJ
ejpam-4353	463	18	soft	soft	ADJ
ejpam-4353	463	19	˜̃g	˜̃g	NOUN
ejpam-4353	463	20	-	-	PUNCT
ejpam-4353	463	21	closed	closed	ADJ
ejpam-4353	463	22	.	.	PUNCT
ejpam-4353	464	1	thus	thus	ADV
ejpam-4353	464	2	b˜̃g	b˜̃g	VERB
ejpam-4353	464	3	(	(	PUNCT
ejpam-4353	464	4	θ	θ	NOUN
ejpam-4353	464	5	,	,	PUNCT
ejpam-4353	464	6	λ	λ	PROPN
ejpam-4353	464	7	,	,	PUNCT
ejpam-4353	464	8	ς	ς	NOUN
ejpam-4353	464	9	)	)	PUNCT
ejpam-4353	464	10	=	=	SYM
ejpam-4353	464	11	c˜̃g	c˜̃g	NOUN
ejpam-4353	464	12	(	(	PUNCT
ejpam-4353	464	13	θ	θ	PROPN
ejpam-4353	464	14	,	,	PUNCT
ejpam-4353	464	15	λ	λ	PROPN
ejpam-4353	464	16	,	,	PUNCT
ejpam-4353	464	17	ς)˜̃∩c˜̃g	ς)˜̃∩c˜̃g	PROPN
ejpam-4353	464	18	(	(	PUNCT
ejpam-4353	464	19	θ	θ	PROPN
ejpam-4353	464	20	,	,	PUNCT
ejpam-4353	464	21	λ	λ	PROPN
ejpam-4353	464	22	,	,	PUNCT
ejpam-4353	464	23	ς)c	ς)c	NOUN
ejpam-4353	464	24	=	=	SYM
ejpam-4353	464	25	c˜̃g	c˜̃g	NOUN
ejpam-4353	464	26	(	(	PUNCT
ejpam-4353	464	27	θ	θ	PROPN
ejpam-4353	464	28	,	,	PUNCT
ejpam-4353	464	29	λ	λ	PROPN
ejpam-4353	464	30	,	,	PUNCT
ejpam-4353	464	31	ς)˜̃∩(i˜̃g	ς)˜̃∩(i˜̃g	NOUN
ejpam-4353	464	32	(	(	PUNCT
ejpam-4353	464	33	θ	θ	NOUN
ejpam-4353	464	34	,	,	PUNCT
ejpam-4353	464	35	λ	λ	PROPN
ejpam-4353	464	36	,	,	PUNCT
ejpam-4353	464	37	ς))c	ς))c	NOUN
ejpam-4353	464	38	=	=	SYM
ejpam-4353	464	39	(	(	PUNCT
ejpam-4353	464	40	θ	θ	PROPN
ejpam-4353	464	41	,	,	PUNCT
ejpam-4353	464	42	λ	λ	PROPN
ejpam-4353	464	43	,	,	PUNCT
ejpam-4353	464	44	ς)˜̃∩(θ	ς)˜̃∩(θ	PROPN
ejpam-4353	464	45	,	,	PUNCT
ejpam-4353	464	46	λ	λ	PROPN
ejpam-4353	464	47	,	,	PUNCT
ejpam-4353	464	48	ς)c	ς)c	NOUN
ejpam-4353	464	49	=	=	SYM
ejpam-4353	464	50	(	(	PUNCT
ejpam-4353	464	51	φ	φ	PROPN
ejpam-4353	464	52	,	,	PUNCT
ejpam-4353	464	53	λ	λ	PROPN
ejpam-4353	464	54	,	,	PUNCT
ejpam-4353	464	55	ς	ς	PROPN
ejpam-4353	464	56	)	)	PUNCT
ejpam-4353	464	57	.	.	PUNCT
ejpam-4353	465	1	the	the	DET
ejpam-4353	465	2	following	follow	VERB
ejpam-4353	465	3	example	example	NOUN
ejpam-4353	465	4	shows	show	VERB
ejpam-4353	465	5	that	that	SCONJ
ejpam-4353	465	6	the	the	DET
ejpam-4353	465	7	converse	converse	NOUN
ejpam-4353	465	8	of	of	ADP
ejpam-4353	465	9	theorem	theorem	NOUN
ejpam-4353	465	10	13	13	NUM
ejpam-4353	465	11	does	do	AUX
ejpam-4353	465	12	not	not	PART
ejpam-4353	465	13	hold	hold	VERB
ejpam-4353	465	14	in	in	ADP
ejpam-4353	465	15	general	general	ADJ
ejpam-4353	465	16	.	.	PUNCT
ejpam-4353	466	1	h.	h.	PROPN
ejpam-4353	466	2	y.	y.	PROPN
ejpam-4353	466	3	saleh	saleh	PROPN
ejpam-4353	466	4	,	,	PUNCT
ejpam-4353	466	5	b.	b.	PROPN
ejpam-4353	466	6	a.	a.	PROPN
ejpam-4353	466	7	asaad	asaad	PROPN
ejpam-4353	466	8	,	,	PUNCT
ejpam-4353	466	9	r.	r.	PROPN
ejpam-4353	466	10	a.	a.	PROPN
ejpam-4353	466	11	mohammed	mohammed	PROPN
ejpam-4353	466	12	/	/	SYM
ejpam-4353	466	13	eur	eur	PROPN
ejpam-4353	466	14	.	.	PUNCT
ejpam-4353	467	1	j.	j.	PROPN
ejpam-4353	467	2	pure	pure	PROPN
ejpam-4353	467	3	appl	appl	PROPN
ejpam-4353	467	4	.	.	PROPN
ejpam-4353	467	5	math	math	PROPN
ejpam-4353	467	6	,	,	PUNCT
ejpam-4353	467	7	15	15	NUM
ejpam-4353	467	8	(	(	PUNCT
ejpam-4353	467	9	2	2	NUM
ejpam-4353	467	10	)	)	PUNCT
ejpam-4353	467	11	(	(	PUNCT
ejpam-4353	467	12	2022	2022	NUM
ejpam-4353	467	13	)	)	PUNCT
ejpam-4353	467	14	,	,	PUNCT
ejpam-4353	467	15	646	646	NUM
ejpam-4353	467	16	-	-	SYM
ejpam-4353	467	17	671	671	NUM
ejpam-4353	467	18	665	665	NUM
ejpam-4353	467	19	example	example	NOUN
ejpam-4353	467	20	8	8	NUM
ejpam-4353	467	21	.	.	PUNCT
ejpam-4353	468	1	take	take	VERB
ejpam-4353	468	2	the	the	DET
ejpam-4353	468	3	bipolar	bipolar	ADJ
ejpam-4353	468	4	soft	soft	ADJ
ejpam-4353	468	5	set	set	NOUN
ejpam-4353	468	6	(	(	PUNCT
ejpam-4353	468	7	θ	θ	NOUN
ejpam-4353	468	8	,	,	PUNCT
ejpam-4353	468	9	λ	λ	PROPN
ejpam-4353	468	10	,	,	PUNCT
ejpam-4353	468	11	ς	ς	NOUN
ejpam-4353	468	12	)	)	PUNCT
ejpam-4353	468	13	as	as	ADP
ejpam-4353	468	14	in	in	ADP
ejpam-4353	468	15	example	example	NOUN
ejpam-4353	468	16	6	6	NUM
ejpam-4353	468	17	.	.	PUNCT
ejpam-4353	469	1	then	then	ADV
ejpam-4353	469	2	b˜̃g	b˜̃g	VERB
ejpam-4353	469	3	(	(	PUNCT
ejpam-4353	469	4	θ	θ	PROPN
ejpam-4353	469	5	,	,	PUNCT
ejpam-4353	469	6	λ	λ	PROPN
ejpam-4353	469	7	,	,	PUNCT
ejpam-4353	469	8	ς	ς	NOUN
ejpam-4353	469	9	)	)	PUNCT
ejpam-4353	469	10	=	=	SYM
ejpam-4353	469	11	(	(	PUNCT
ejpam-4353	469	12	φ	φ	PROPN
ejpam-4353	469	13	,	,	PUNCT
ejpam-4353	469	14	λ	λ	PROPN
ejpam-4353	469	15	,	,	PUNCT
ejpam-4353	469	16	ς	ς	NOUN
ejpam-4353	469	17	)	)	PUNCT
ejpam-4353	469	18	,	,	PUNCT
ejpam-4353	469	19	but	but	CCONJ
ejpam-4353	469	20	(	(	PUNCT
ejpam-4353	469	21	θ	θ	NOUN
ejpam-4353	469	22	,	,	PUNCT
ejpam-4353	469	23	λ	λ	PROPN
ejpam-4353	469	24	,	,	PUNCT
ejpam-4353	469	25	ς	ς	NOUN
ejpam-4353	469	26	)	)	PUNCT
ejpam-4353	469	27	is	be	AUX
ejpam-4353	469	28	neither	neither	CCONJ
ejpam-4353	469	29	bipolar	bipolar	ADJ
ejpam-4353	469	30	soft	soft	ADJ
ejpam-4353	469	31	˜̃g	˜̃g	NOUN
ejpam-4353	469	32	-	-	PUNCT
ejpam-4353	469	33	open	open	ADJ
ejpam-4353	469	34	nor	nor	CCONJ
ejpam-4353	469	35	bipolar	bipolar	ADJ
ejpam-4353	469	36	soft	soft	ADJ
ejpam-4353	469	37	˜̃g	˜̃g	NOUN
ejpam-4353	469	38	-	-	PUNCT
ejpam-4353	469	39	closed	closed	ADJ
ejpam-4353	469	40	.	.	PUNCT
ejpam-4353	470	1	definition	definition	NOUN
ejpam-4353	470	2	23	23	NUM
ejpam-4353	470	3	.	.	PUNCT
ejpam-4353	471	1	let	let	VERB
ejpam-4353	471	2	(	(	PUNCT
ejpam-4353	471	3	ω	ω	NOUN
ejpam-4353	471	4	,	,	PUNCT
ejpam-4353	471	5	˜̃g	˜̃g	PROPN
ejpam-4353	471	6	,	,	PUNCT
ejpam-4353	471	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	471	8	)	)	PUNCT
ejpam-4353	471	9	be	be	VERB
ejpam-4353	471	10	a	a	DET
ejpam-4353	471	11	bsgt	bsgt	NOUN
ejpam-4353	471	12	s	s	PRON
ejpam-4353	471	13	and	and	CCONJ
ejpam-4353	471	14	(	(	PUNCT
ejpam-4353	471	15	θ	θ	PROPN
ejpam-4353	471	16	,	,	PUNCT
ejpam-4353	471	17	λ	λ	PROPN
ejpam-4353	471	18	,	,	PUNCT
ejpam-4353	471	19	ς	ς	PROPN
ejpam-4353	471	20	)	)	PUNCT
ejpam-4353	471	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	471	22	bss(ω	bss(ω	PROPN
ejpam-4353	471	23	)	)	PUNCT
ejpam-4353	471	24	.	.	PUNCT
ejpam-4353	472	1	then	then	ADV
ejpam-4353	472	2	the	the	DET
ejpam-4353	472	3	bipolar	bipolar	ADJ
ejpam-4353	472	4	soft	soft	ADJ
ejpam-4353	472	5	˜̃g	˜̃g	NOUN
ejpam-4353	472	6	-	-	PUNCT
ejpam-4353	472	7	exterior	exterior	NOUN
ejpam-4353	472	8	of	of	ADP
ejpam-4353	472	9	(	(	PUNCT
ejpam-4353	472	10	θ	θ	PROPN
ejpam-4353	472	11	,	,	PUNCT
ejpam-4353	472	12	λ	λ	PROPN
ejpam-4353	472	13	,	,	PUNCT
ejpam-4353	472	14	ς	ς	NOUN
ejpam-4353	472	15	)	)	PUNCT
ejpam-4353	472	16	denoted	denote	VERB
ejpam-4353	472	17	by	by	ADP
ejpam-4353	472	18	e˜̃g	e˜̃g	X
ejpam-4353	472	19	(	(	PUNCT
ejpam-4353	472	20	θ	θ	NOUN
ejpam-4353	472	21	,	,	PUNCT
ejpam-4353	472	22	λ	λ	PROPN
ejpam-4353	472	23	,	,	PUNCT
ejpam-4353	472	24	ς	ς	NOUN
ejpam-4353	472	25	)	)	PUNCT
ejpam-4353	472	26	,	,	PUNCT
ejpam-4353	472	27	is	be	AUX
ejpam-4353	472	28	the	the	DET
ejpam-4353	472	29	bipolar	bipolar	ADJ
ejpam-4353	472	30	soft	soft	ADJ
ejpam-4353	472	31	˜̃g	˜̃g	NOUN
ejpam-4353	472	32	-	-	PUNCT
ejpam-4353	472	33	interior	interior	NOUN
ejpam-4353	472	34	of	of	ADP
ejpam-4353	472	35	the	the	DET
ejpam-4353	472	36	bipolar	bipolar	ADJ
ejpam-4353	472	37	soft	soft	ADJ
ejpam-4353	472	38	˜̃g	˜̃g	NOUN
ejpam-4353	472	39	-	-	PUNCT
ejpam-4353	472	40	complement	complement	NOUN
ejpam-4353	472	41	of	of	ADP
ejpam-4353	472	42	(	(	PUNCT
ejpam-4353	472	43	θ	θ	PROPN
ejpam-4353	472	44	,	,	PUNCT
ejpam-4353	472	45	λ	λ	PROPN
ejpam-4353	472	46	,	,	PUNCT
ejpam-4353	472	47	ς	ς	PROPN
ejpam-4353	472	48	)	)	PUNCT
ejpam-4353	472	49	.	.	PUNCT
ejpam-4353	473	1	in	in	ADP
ejpam-4353	473	2	the	the	DET
ejpam-4353	473	3	other	other	ADJ
ejpam-4353	473	4	words	word	NOUN
ejpam-4353	473	5	,	,	PUNCT
ejpam-4353	473	6	e˜̃g	e˜̃g	X
ejpam-4353	473	7	(	(	PUNCT
ejpam-4353	473	8	θ	θ	NOUN
ejpam-4353	473	9	,	,	PUNCT
ejpam-4353	473	10	λ	λ	PROPN
ejpam-4353	473	11	,	,	PUNCT
ejpam-4353	473	12	ς	ς	NOUN
ejpam-4353	473	13	)	)	PUNCT
ejpam-4353	473	14	=	=	NOUN
ejpam-4353	473	15	i˜̃g	i˜̃g	NOUN
ejpam-4353	473	16	(	(	PUNCT
ejpam-4353	473	17	θ	θ	PROPN
ejpam-4353	473	18	,	,	PUNCT
ejpam-4353	473	19	λ	λ	PROPN
ejpam-4353	473	20	,	,	PUNCT
ejpam-4353	473	21	ς)c	ς)c	NOUN
ejpam-4353	473	22	.	.	PUNCT
ejpam-4353	474	1	proposition	proposition	NOUN
ejpam-4353	474	2	4	4	NUM
ejpam-4353	474	3	.	.	PUNCT
ejpam-4353	475	1	the	the	DET
ejpam-4353	475	2	following	follow	VERB
ejpam-4353	475	3	statements	statement	NOUN
ejpam-4353	475	4	are	be	AUX
ejpam-4353	475	5	true	true	ADJ
ejpam-4353	475	6	for	for	ADP
ejpam-4353	475	7	any	any	DET
ejpam-4353	475	8	(	(	PUNCT
ejpam-4353	475	9	θ	θ	PROPN
ejpam-4353	475	10	,	,	PUNCT
ejpam-4353	475	11	λ	λ	PROPN
ejpam-4353	475	12	,	,	PUNCT
ejpam-4353	475	13	ς	ς	PROPN
ejpam-4353	475	14	)	)	PUNCT
ejpam-4353	475	15	˜̃∈	˜̃∈	PROPN
ejpam-4353	475	16	bss(ω	bss(ω	PROPN
ejpam-4353	475	17	):	):	PUNCT
ejpam-4353	475	18	(	(	PUNCT
ejpam-4353	475	19	i	i	NOUN
ejpam-4353	475	20	)	)	PUNCT
ejpam-4353	475	21	e˜̃g	e˜̃g	X
ejpam-4353	475	22	(	(	PUNCT
ejpam-4353	475	23	θ	θ	NOUN
ejpam-4353	475	24	,	,	PUNCT
ejpam-4353	475	25	λ	λ	PROPN
ejpam-4353	475	26	,	,	PUNCT
ejpam-4353	475	27	ς	ς	NOUN
ejpam-4353	475	28	)	)	PUNCT
ejpam-4353	475	29	=	=	SYM
ejpam-4353	475	30	(	(	PUNCT
ejpam-4353	475	31	c˜̃g	c˜̃g	PROPN
ejpam-4353	475	32	(	(	PUNCT
ejpam-4353	475	33	θ	θ	PROPN
ejpam-4353	475	34	,	,	PUNCT
ejpam-4353	475	35	λ	λ	PROPN
ejpam-4353	475	36	,	,	PUNCT
ejpam-4353	475	37	ς))c	ς))c	NOUN
ejpam-4353	475	38	.	.	PUNCT
ejpam-4353	476	1	(	(	PUNCT
ejpam-4353	476	2	ii	ii	NOUN
ejpam-4353	476	3	)	)	PUNCT
ejpam-4353	476	4	e˜̃g	e˜̃g	X
ejpam-4353	476	5	(	(	PUNCT
ejpam-4353	476	6	θ	θ	NOUN
ejpam-4353	476	7	,	,	PUNCT
ejpam-4353	476	8	λ	λ	PROPN
ejpam-4353	476	9	,	,	PUNCT
ejpam-4353	476	10	ς)c	ς)c	NOUN
ejpam-4353	476	11	=	=	SYM
ejpam-4353	476	12	i˜̃g((θ	i˜̃g((θ	NOUN
ejpam-4353	476	13	,	,	PUNCT
ejpam-4353	476	14	λ	λ	NOUN
ejpam-4353	476	15	,	,	PUNCT
ejpam-4353	476	16	ς)c)c	ς)c)c	X
ejpam-4353	477	1	=	=	PUNCT
ejpam-4353	477	2	i˜̃g(θ	i˜̃g(θ	PROPN
ejpam-4353	477	3	,	,	PUNCT
ejpam-4353	477	4	λ	λ	PROPN
ejpam-4353	477	5	,	,	PUNCT
ejpam-4353	477	6	ς	ς	PROPN
ejpam-4353	477	7	)	)	PUNCT
ejpam-4353	477	8	.	.	PUNCT
ejpam-4353	478	1	(	(	PUNCT
ejpam-4353	478	2	iii	iii	NOUN
ejpam-4353	478	3	)	)	PUNCT
ejpam-4353	478	4	e˜̃g	e˜̃g	X
ejpam-4353	478	5	(	(	PUNCT
ejpam-4353	478	6	θ	θ	NOUN
ejpam-4353	478	7	,	,	PUNCT
ejpam-4353	478	8	λ	λ	PROPN
ejpam-4353	478	9	,	,	PUNCT
ejpam-4353	478	10	ς	ς	PROPN
ejpam-4353	478	11	)	)	PUNCT
ejpam-4353	478	12	˜̃∩	˜̃∩	ADV
ejpam-4353	478	13	(	(	PUNCT
ejpam-4353	478	14	θ	θ	PROPN
ejpam-4353	478	15	,	,	PUNCT
ejpam-4353	478	16	λ	λ	PROPN
ejpam-4353	478	17	,	,	PUNCT
ejpam-4353	478	18	ς	ς	NOUN
ejpam-4353	478	19	)	)	PUNCT
ejpam-4353	478	20	=	=	SYM
ejpam-4353	478	21	(	(	PUNCT
ejpam-4353	478	22	φ	φ	PROPN
ejpam-4353	478	23	,	,	PUNCT
ejpam-4353	478	24	λ	λ	PROPN
ejpam-4353	478	25	,	,	PUNCT
ejpam-4353	478	26	ς	ς	PROPN
ejpam-4353	478	27	)	)	PUNCT
ejpam-4353	478	28	.	.	PUNCT
ejpam-4353	479	1	(	(	PUNCT
ejpam-4353	479	2	iv	iv	X
ejpam-4353	479	3	)	)	PUNCT
ejpam-4353	479	4	e˜̃g	e˜̃g	X
ejpam-4353	479	5	(	(	PUNCT
ejpam-4353	479	6	θ	θ	NOUN
ejpam-4353	479	7	,	,	PUNCT
ejpam-4353	479	8	λ	λ	PROPN
ejpam-4353	479	9	,	,	PUNCT
ejpam-4353	479	10	ς	ς	NOUN
ejpam-4353	479	11	)	)	PUNCT
ejpam-4353	479	12	is	be	AUX
ejpam-4353	479	13	the	the	DET
ejpam-4353	479	14	largest	large	ADJ
ejpam-4353	479	15	bipolar	bipolar	ADJ
ejpam-4353	479	16	soft	soft	ADJ
ejpam-4353	479	17	˜̃g	˜̃g	NOUN
ejpam-4353	479	18	-	-	PUNCT
ejpam-4353	479	19	open	open	ADJ
ejpam-4353	479	20	set	set	NOUN
ejpam-4353	479	21	contained	contain	VERB
ejpam-4353	479	22	in	in	ADP
ejpam-4353	479	23	(	(	PUNCT
ejpam-4353	479	24	θ	θ	PROPN
ejpam-4353	479	25	,	,	PUNCT
ejpam-4353	479	26	λ	λ	PROPN
ejpam-4353	479	27	,	,	PUNCT
ejpam-4353	479	28	ς)c	ς)c	NOUN
ejpam-4353	479	29	and	and	CCONJ
ejpam-4353	479	30	hence	hence	ADV
ejpam-4353	479	31	e˜̃g	e˜̃g	VERB
ejpam-4353	479	32	(	(	PUNCT
ejpam-4353	479	33	θ	θ	NOUN
ejpam-4353	479	34	,	,	PUNCT
ejpam-4353	479	35	λ	λ	PROPN
ejpam-4353	479	36	,	,	PUNCT
ejpam-4353	479	37	ς	ς	NOUN
ejpam-4353	479	38	)	)	PUNCT
ejpam-4353	479	39	˜̃∈	˜̃∈	PROPN
ejpam-4353	479	40	˜̃g	˜̃g	PROPN
ejpam-4353	479	41	.	.	PUNCT
ejpam-4353	480	1	proposition	proposition	NOUN
ejpam-4353	480	2	5	5	NUM
ejpam-4353	480	3	.	.	PUNCT
ejpam-4353	481	1	let	let	VERB
ejpam-4353	481	2	(	(	PUNCT
ejpam-4353	481	3	ω	ω	NOUN
ejpam-4353	481	4	,	,	PUNCT
ejpam-4353	481	5	˜̃g	˜̃g	PROPN
ejpam-4353	481	6	,	,	PUNCT
ejpam-4353	481	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	481	8	)	)	PUNCT
ejpam-4353	481	9	be	be	VERB
ejpam-4353	481	10	a	a	DET
ejpam-4353	481	11	bsgt	bsgt	NOUN
ejpam-4353	481	12	s	s	PRON
ejpam-4353	481	13	and	and	CCONJ
ejpam-4353	481	14	(	(	PUNCT
ejpam-4353	481	15	θ	θ	PROPN
ejpam-4353	481	16	,	,	PUNCT
ejpam-4353	481	17	λ	λ	PROPN
ejpam-4353	481	18	,	,	PUNCT
ejpam-4353	481	19	ς	ς	PROPN
ejpam-4353	481	20	)	)	PUNCT
ejpam-4353	481	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	481	22	bss(ω	bss(ω	PROPN
ejpam-4353	481	23	)	)	PUNCT
ejpam-4353	481	24	.	.	PUNCT
ejpam-4353	482	1	then	then	ADV
ejpam-4353	482	2	e˜̃g	e˜̃g	VERB
ejpam-4353	482	3	(	(	PUNCT
ejpam-4353	482	4	(	(	PUNCT
ejpam-4353	482	5	θ	θ	NOUN
ejpam-4353	482	6	,	,	PUNCT
ejpam-4353	482	7	λ	λ	PROPN
ejpam-4353	482	8	,	,	PUNCT
ejpam-4353	482	9	ς	ς	NOUN
ejpam-4353	482	10	)	)	PUNCT
ejpam-4353	482	11	=	=	NOUN
ejpam-4353	482	12	˜̃⋃{(χ	˜̃⋃{(χ	NOUN
ejpam-4353	482	13	,	,	PUNCT
ejpam-4353	482	14	ψ	ψ	X
ejpam-4353	482	15	,	,	PUNCT
ejpam-4353	482	16	ς	ς	PROPN
ejpam-4353	482	17	)	)	PUNCT
ejpam-4353	482	18	:	:	PUNCT
ejpam-4353	482	19	(	(	PUNCT
ejpam-4353	482	20	χ	χ	X
ejpam-4353	482	21	,	,	PUNCT
ejpam-4353	482	22	ψ	ψ	X
ejpam-4353	482	23	,	,	PUNCT
ejpam-4353	482	24	ς	ς	NOUN
ejpam-4353	482	25	)	)	PUNCT
ejpam-4353	482	26	˜̃∈	˜̃∈	PROPN
ejpam-4353	482	27	˜̃g	˜̃g	PROPN
ejpam-4353	482	28	,	,	PUNCT
ejpam-4353	482	29	(	(	PUNCT
ejpam-4353	482	30	χ	χ	X
ejpam-4353	482	31	,	,	PUNCT
ejpam-4353	482	32	ψ	ψ	X
ejpam-4353	482	33	,	,	PUNCT
ejpam-4353	482	34	ς	ς	PROPN
ejpam-4353	482	35	)	)	PUNCT
ejpam-4353	482	36	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	482	37	(	(	PUNCT
ejpam-4353	482	38	θ	θ	PROPN
ejpam-4353	482	39	,	,	PUNCT
ejpam-4353	482	40	λ	λ	NOUN
ejpam-4353	482	41	,	,	PUNCT
ejpam-4353	482	42	ς)c	ς)c	NOUN
ejpam-4353	482	43	}	}	PUNCT
ejpam-4353	482	44	.	.	PUNCT
ejpam-4353	483	1	proof	proof	NOUN
ejpam-4353	483	2	.	.	PUNCT
ejpam-4353	484	1	it	it	PRON
ejpam-4353	484	2	is	be	AUX
ejpam-4353	484	3	obvious	obvious	ADJ
ejpam-4353	484	4	.	.	PUNCT
ejpam-4353	485	1	theorem	theorem	NOUN
ejpam-4353	485	2	14	14	NUM
ejpam-4353	485	3	.	.	PUNCT
ejpam-4353	486	1	let	let	VERB
ejpam-4353	486	2	(	(	PUNCT
ejpam-4353	486	3	ω	ω	NOUN
ejpam-4353	486	4	,	,	PUNCT
ejpam-4353	486	5	˜̃g	˜̃g	PROPN
ejpam-4353	486	6	,	,	PUNCT
ejpam-4353	486	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	486	8	)	)	PUNCT
ejpam-4353	486	9	be	be	VERB
ejpam-4353	486	10	a	a	DET
ejpam-4353	486	11	bsgt	bsgt	NOUN
ejpam-4353	486	12	s	s	PRON
ejpam-4353	486	13	and	and	CCONJ
ejpam-4353	486	14	(	(	PUNCT
ejpam-4353	486	15	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	486	16	,	,	PUNCT
ejpam-4353	486	17	ς	ς	PROPN
ejpam-4353	486	18	)	)	PUNCT
ejpam-4353	486	19	,	,	PUNCT
ejpam-4353	486	20	(	(	PUNCT
ejpam-4353	486	21	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	486	22	,	,	PUNCT
ejpam-4353	486	23	ς	ς	NOUN
ejpam-4353	486	24	)	)	PUNCT
ejpam-4353	486	25	˜̃∈	˜̃∈	PROPN
ejpam-4353	486	26	bss(ω	bss(ω	PROPN
ejpam-4353	486	27	)	)	PUNCT
ejpam-4353	486	28	.	.	PUNCT
ejpam-4353	487	1	then	then	ADV
ejpam-4353	487	2	(	(	PUNCT
ejpam-4353	487	3	i	i	NOUN
ejpam-4353	487	4	)	)	PUNCT
ejpam-4353	487	5	e˜̃g(φ	e˜̃g(φ	PROPN
ejpam-4353	487	6	,	,	PUNCT
ejpam-4353	487	7	˜̃ω	˜̃ω	PROPN
ejpam-4353	487	8	,	,	PUNCT
ejpam-4353	487	9	ς	ς	PROPN
ejpam-4353	487	10	)	)	PUNCT
ejpam-4353	487	11	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	487	12	(	(	PUNCT
ejpam-4353	487	13	˜̃	˜̃	NOUN
ejpam-4353	487	14	ω	ω	PROPN
ejpam-4353	487	15	,	,	PUNCT
ejpam-4353	487	16	φ	φ	PROPN
ejpam-4353	487	17	,	,	PUNCT
ejpam-4353	487	18	ς	ς	NOUN
ejpam-4353	487	19	)	)	PUNCT
ejpam-4353	487	20	and	and	CCONJ
ejpam-4353	487	21	e˜̃g	e˜̃g	NOUN
ejpam-4353	487	22	(	(	PUNCT
ejpam-4353	487	23	˜̃ω	˜̃ω	PROPN
ejpam-4353	487	24	,	,	PUNCT
ejpam-4353	487	25	φ	φ	PROPN
ejpam-4353	487	26	,	,	PUNCT
ejpam-4353	487	27	ς	ς	NOUN
ejpam-4353	487	28	)	)	PUNCT
ejpam-4353	487	29	=	=	SYM
ejpam-4353	487	30	(	(	PUNCT
ejpam-4353	487	31	φ	φ	PROPN
ejpam-4353	487	32	,	,	PUNCT
ejpam-4353	487	33	˜̃	˜̃	NOUN
ejpam-4353	487	34	ω	ω	PROPN
ejpam-4353	487	35	,	,	PUNCT
ejpam-4353	487	36	ς	ς	PROPN
ejpam-4353	487	37	)	)	PUNCT
ejpam-4353	487	38	.	.	PUNCT
ejpam-4353	488	1	(	(	PUNCT
ejpam-4353	488	2	ii	ii	X
ejpam-4353	488	3	)	)	PUNCT
ejpam-4353	488	4	e˜̃g(θ1,λ1	e˜̃g(θ1,λ1	PROPN
ejpam-4353	488	5	,	,	PUNCT
ejpam-4353	488	6	ς	ς	PROPN
ejpam-4353	488	7	)	)	PUNCT
ejpam-4353	488	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	488	9	(	(	PUNCT
ejpam-4353	488	10	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	488	11	,	,	PUNCT
ejpam-4353	488	12	ς	ς	PROPN
ejpam-4353	488	13	)	)	PUNCT
ejpam-4353	488	14	c.	c.	NOUN
ejpam-4353	488	15	(	(	PUNCT
ejpam-4353	488	16	iii	iii	NOUN
ejpam-4353	488	17	)	)	PUNCT
ejpam-4353	488	18	e˜̃g(e˜̃g(θ1,λ1	e˜̃g(e˜̃g(θ1,λ1	NOUN
ejpam-4353	488	19	,	,	PUNCT
ejpam-4353	488	20	ς	ς	NOUN
ejpam-4353	488	21	)	)	PUNCT
ejpam-4353	488	22	)	)	PUNCT
ejpam-4353	489	1	c	c	NOUN
ejpam-4353	489	2	=	=	SYM
ejpam-4353	489	3	e˜̃g(θ1,λ1	e˜̃g(θ1,λ1	PROPN
ejpam-4353	489	4	,	,	PUNCT
ejpam-4353	489	5	ς	ς	PROPN
ejpam-4353	489	6	)	)	PUNCT
ejpam-4353	489	7	.	.	PUNCT
ejpam-4353	490	1	(	(	PUNCT
ejpam-4353	490	2	iv	iv	X
ejpam-4353	490	3	)	)	PUNCT
ejpam-4353	490	4	if	if	SCONJ
ejpam-4353	490	5	(	(	PUNCT
ejpam-4353	490	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	490	7	,	,	PUNCT
ejpam-4353	490	8	ς	ς	PROPN
ejpam-4353	490	9	)	)	PUNCT
ejpam-4353	490	10	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	490	11	(	(	PUNCT
ejpam-4353	490	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	490	13	,	,	PUNCT
ejpam-4353	490	14	ς	ς	NOUN
ejpam-4353	490	15	)	)	PUNCT
ejpam-4353	490	16	,	,	PUNCT
ejpam-4353	490	17	then	then	ADV
ejpam-4353	490	18	e˜̃g	e˜̃g	VERB
ejpam-4353	490	19	(	(	PUNCT
ejpam-4353	490	20	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	490	21	,	,	PUNCT
ejpam-4353	490	22	ς	ς	NOUN
ejpam-4353	490	23	)	)	PUNCT
ejpam-4353	490	24	˜̃⊆	˜̃⊆	NOUN
ejpam-4353	490	25	e˜̃g	e˜̃g	NOUN
ejpam-4353	490	26	(	(	PUNCT
ejpam-4353	490	27	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	490	28	,	,	PUNCT
ejpam-4353	490	29	ς	ς	PROPN
ejpam-4353	490	30	)	)	PUNCT
ejpam-4353	490	31	.	.	PUNCT
ejpam-4353	491	1	(	(	PUNCT
ejpam-4353	491	2	v	v	X
ejpam-4353	491	3	)	)	PUNCT
ejpam-4353	491	4	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	491	5	,	,	PUNCT
ejpam-4353	491	6	ς	ς	NOUN
ejpam-4353	491	7	)	)	PUNCT
ejpam-4353	491	8	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	491	9	e˜̃g(e˜̃g(θ1,λ1	e˜̃g(e˜̃g(θ1,λ1	PROPN
ejpam-4353	491	10	,	,	PUNCT
ejpam-4353	491	11	ς	ς	NOUN
ejpam-4353	491	12	)	)	PUNCT
ejpam-4353	491	13	)	)	PUNCT
ejpam-4353	491	14	.	.	PUNCT
ejpam-4353	492	1	(	(	PUNCT
ejpam-4353	492	2	vi	vi	X
ejpam-4353	492	3	)	)	PUNCT
ejpam-4353	492	4	e˜̃g	e˜̃g	X
ejpam-4353	492	5	(	(	PUNCT
ejpam-4353	492	6	(	(	PUNCT
ejpam-4353	492	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	492	8	,	,	PUNCT
ejpam-4353	492	9	ς	ς	PROPN
ejpam-4353	492	10	)	)	PUNCT
ejpam-4353	492	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	492	12	(	(	PUNCT
ejpam-4353	492	13	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	492	14	,	,	PUNCT
ejpam-4353	492	15	ς	ς	NOUN
ejpam-4353	492	16	)	)	PUNCT
ejpam-4353	492	17	)	)	PUNCT
ejpam-4353	493	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	493	2	e˜̃g	e˜̃g	X
ejpam-4353	493	3	(	(	PUNCT
ejpam-4353	493	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	493	5	,	,	PUNCT
ejpam-4353	493	6	ς	ς	PROPN
ejpam-4353	493	7	)	)	PUNCT
ejpam-4353	493	8	˜̃∩	˜̃∩	ADV
ejpam-4353	493	9	e˜̃g	e˜̃g	NOUN
ejpam-4353	493	10	(	(	PUNCT
ejpam-4353	493	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	493	12	,	,	PUNCT
ejpam-4353	493	13	ς	ς	NOUN
ejpam-4353	493	14	)	)	PUNCT
ejpam-4353	493	15	.	.	PUNCT
ejpam-4353	494	1	(	(	PUNCT
ejpam-4353	494	2	vii	vii	PROPN
ejpam-4353	494	3	)	)	PUNCT
ejpam-4353	494	4	e˜̃g	e˜̃g	X
ejpam-4353	494	5	(	(	PUNCT
ejpam-4353	494	6	(	(	PUNCT
ejpam-4353	494	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	494	8	,	,	PUNCT
ejpam-4353	494	9	ς	ς	PROPN
ejpam-4353	494	10	)	)	PUNCT
ejpam-4353	494	11	˜̃∩	˜̃∩	ADV
ejpam-4353	494	12	(	(	PUNCT
ejpam-4353	494	13	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	494	14	,	,	PUNCT
ejpam-4353	494	15	ς	ς	NOUN
ejpam-4353	494	16	)	)	PUNCT
ejpam-4353	494	17	)	)	PUNCT
ejpam-4353	495	1	˜̃⊇	˜̃⊇	ADP
ejpam-4353	495	2	e˜̃g	e˜̃g	NOUN
ejpam-4353	495	3	(	(	PUNCT
ejpam-4353	495	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	495	5	,	,	PUNCT
ejpam-4353	495	6	ς	ς	NOUN
ejpam-4353	495	7	)	)	PUNCT
ejpam-4353	495	8	˜̃∪	˜̃∪	PROPN
ejpam-4353	495	9	e˜̃g	e˜̃g	X
ejpam-4353	495	10	(	(	PUNCT
ejpam-4353	495	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	495	12	,	,	PUNCT
ejpam-4353	495	13	ς	ς	NOUN
ejpam-4353	495	14	)	)	PUNCT
ejpam-4353	495	15	.	.	PUNCT
ejpam-4353	496	1	proof	proof	NOUN
ejpam-4353	496	2	.	.	PUNCT
ejpam-4353	497	1	h.	h.	PROPN
ejpam-4353	497	2	y.	y.	PROPN
ejpam-4353	497	3	saleh	saleh	PROPN
ejpam-4353	497	4	,	,	PUNCT
ejpam-4353	497	5	b.	b.	PROPN
ejpam-4353	497	6	a.	a.	PROPN
ejpam-4353	497	7	asaad	asaad	PROPN
ejpam-4353	497	8	,	,	PUNCT
ejpam-4353	497	9	r.	r.	PROPN
ejpam-4353	497	10	a.	a.	PROPN
ejpam-4353	497	11	mohammed	mohammed	PROPN
ejpam-4353	497	12	/	/	SYM
ejpam-4353	497	13	eur	eur	PROPN
ejpam-4353	497	14	.	.	PUNCT
ejpam-4353	498	1	j.	j.	PROPN
ejpam-4353	498	2	pure	pure	PROPN
ejpam-4353	498	3	appl	appl	PROPN
ejpam-4353	498	4	.	.	PROPN
ejpam-4353	498	5	math	math	PROPN
ejpam-4353	498	6	,	,	PUNCT
ejpam-4353	498	7	15	15	NUM
ejpam-4353	498	8	(	(	PUNCT
ejpam-4353	498	9	2	2	NUM
ejpam-4353	498	10	)	)	PUNCT
ejpam-4353	498	11	(	(	PUNCT
ejpam-4353	498	12	2022	2022	NUM
ejpam-4353	498	13	)	)	PUNCT
ejpam-4353	498	14	,	,	PUNCT
ejpam-4353	498	15	646	646	NUM
ejpam-4353	498	16	-	-	SYM
ejpam-4353	498	17	671	671	NUM
ejpam-4353	498	18	666	666	NUM
ejpam-4353	498	19	(	(	PUNCT
ejpam-4353	498	20	i	i	NOUN
ejpam-4353	498	21	)	)	PUNCT
ejpam-4353	498	22	e˜̃g(φ	e˜̃g(φ	PROPN
ejpam-4353	498	23	,	,	PUNCT
ejpam-4353	498	24	˜̃ω	˜̃ω	PROPN
ejpam-4353	498	25	,	,	PUNCT
ejpam-4353	498	26	ς	ς	NOUN
ejpam-4353	498	27	)	)	PUNCT
ejpam-4353	498	28	=	=	NOUN
ejpam-4353	498	29	i˜̃g(φ	i˜̃g(φ	NOUN
ejpam-4353	498	30	,	,	PUNCT
ejpam-4353	498	31	˜̃ω	˜̃ω	NOUN
ejpam-4353	498	32	,	,	PUNCT
ejpam-4353	498	33	ς)c	ς)c	NOUN
ejpam-4353	498	34	=	=	PUNCT
ejpam-4353	498	35	i˜̃g	i˜̃g	NOUN
ejpam-4353	498	36	(	(	PUNCT
ejpam-4353	498	37	˜̃ω	˜̃ω	PROPN
ejpam-4353	498	38	,	,	PUNCT
ejpam-4353	498	39	φ	φ	PROPN
ejpam-4353	498	40	,	,	PUNCT
ejpam-4353	498	41	ς	ς	PROPN
ejpam-4353	498	42	)	)	PUNCT
ejpam-4353	498	43	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	498	44	(	(	PUNCT
ejpam-4353	498	45	˜̃	˜̃	NOUN
ejpam-4353	498	46	ω	ω	PROPN
ejpam-4353	498	47	,	,	PUNCT
ejpam-4353	498	48	φ	φ	PROPN
ejpam-4353	498	49	,	,	PUNCT
ejpam-4353	498	50	ς	ς	NOUN
ejpam-4353	498	51	)	)	PUNCT
ejpam-4353	498	52	and	and	CCONJ
ejpam-4353	498	53	e˜̃g	e˜̃g	NOUN
ejpam-4353	498	54	(	(	PUNCT
ejpam-4353	498	55	˜̃ω	˜̃ω	PROPN
ejpam-4353	498	56	,	,	PUNCT
ejpam-4353	498	57	φ	φ	PROPN
ejpam-4353	498	58	,	,	PUNCT
ejpam-4353	498	59	ς	ς	NOUN
ejpam-4353	498	60	)	)	PUNCT
ejpam-4353	498	61	=	=	NOUN
ejpam-4353	498	62	i˜̃g(φ	i˜̃g(φ	NOUN
ejpam-4353	498	63	,	,	PUNCT
ejpam-4353	498	64	˜̃ω	˜̃ω	PROPN
ejpam-4353	498	65	,	,	PUNCT
ejpam-4353	498	66	ς	ς	NOUN
ejpam-4353	498	67	)	)	PUNCT
ejpam-4353	498	68	=	=	SYM
ejpam-4353	498	69	(	(	PUNCT
ejpam-4353	498	70	φ	φ	PROPN
ejpam-4353	498	71	,	,	PUNCT
ejpam-4353	498	72	˜̃	˜̃	NOUN
ejpam-4353	498	73	ω	ω	PROPN
ejpam-4353	498	74	,	,	PUNCT
ejpam-4353	498	75	ς	ς	PROPN
ejpam-4353	498	76	)	)	PUNCT
ejpam-4353	498	77	.	.	PUNCT
ejpam-4353	499	1	(	(	PUNCT
ejpam-4353	499	2	ii	ii	NOUN
ejpam-4353	499	3	)	)	PUNCT
ejpam-4353	499	4	since	since	SCONJ
ejpam-4353	499	5	i˜̃g(θ1,λ1	i˜̃g(θ1,λ1	PROPN
ejpam-4353	499	6	,	,	PUNCT
ejpam-4353	499	7	ς	ς	NOUN
ejpam-4353	499	8	)	)	PUNCT
ejpam-4353	499	9	c	c	PROPN
ejpam-4353	499	10	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	499	11	(	(	PUNCT
ejpam-4353	499	12	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	499	13	,	,	PUNCT
ejpam-4353	499	14	ς	ς	PROPN
ejpam-4353	499	15	)	)	PUNCT
ejpam-4353	499	16	c.	c.	NOUN
ejpam-4353	499	17	then	then	ADV
ejpam-4353	499	18	e˜̃g(θ1,λ1	e˜̃g(θ1,λ1	PROPN
ejpam-4353	499	19	,	,	PUNCT
ejpam-4353	499	20	ς	ς	PROPN
ejpam-4353	499	21	)	)	PUNCT
ejpam-4353	499	22	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	499	23	(	(	PUNCT
ejpam-4353	499	24	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	499	25	,	,	PUNCT
ejpam-4353	499	26	ς	ς	PROPN
ejpam-4353	499	27	)	)	PUNCT
ejpam-4353	499	28	c.	c.	NOUN
ejpam-4353	499	29	(	(	PUNCT
ejpam-4353	499	30	iii	iii	NOUN
ejpam-4353	499	31	)	)	PUNCT
ejpam-4353	499	32	e˜̃g	e˜̃g	X
ejpam-4353	499	33	(	(	PUNCT
ejpam-4353	499	34	e˜̃g	e˜̃g	X
ejpam-4353	499	35	(	(	PUNCT
ejpam-4353	499	36	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	499	37	,	,	PUNCT
ejpam-4353	499	38	ς	ς	NOUN
ejpam-4353	499	39	)	)	PUNCT
ejpam-4353	499	40	)	)	PUNCT
ejpam-4353	500	1	c	c	NOUN
ejpam-4353	501	1	=	=	SYM
ejpam-4353	501	2	i˜̃g(e˜̃g	i˜̃g(e˜̃g	PROPN
ejpam-4353	501	3	(	(	PUNCT
ejpam-4353	501	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	501	5	,	,	PUNCT
ejpam-4353	501	6	ς	ς	NOUN
ejpam-4353	501	7	)	)	PUNCT
ejpam-4353	501	8	)	)	PUNCT
ejpam-4353	502	1	=	=	SYM
ejpam-4353	502	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	502	3	(	(	PUNCT
ejpam-4353	502	4	i˜̃g	i˜̃g	NOUN
ejpam-4353	502	5	(	(	PUNCT
ejpam-4353	502	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	502	7	,	,	PUNCT
ejpam-4353	502	8	ς	ς	NOUN
ejpam-4353	502	9	)	)	PUNCT
ejpam-4353	502	10	c	c	NOUN
ejpam-4353	502	11	)	)	PUNCT
ejpam-4353	502	12	=	=	NOUN
ejpam-4353	502	13	i˜̃g	i˜̃g	NOUN
ejpam-4353	502	14	(	(	PUNCT
ejpam-4353	502	15	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	502	16	,	,	PUNCT
ejpam-4353	502	17	ς	ς	NOUN
ejpam-4353	502	18	)	)	PUNCT
ejpam-4353	502	19	c	c	NOUN
ejpam-4353	502	20	=	=	SYM
ejpam-4353	502	21	e˜̃g	e˜̃g	X
ejpam-4353	502	22	(	(	PUNCT
ejpam-4353	502	23	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	502	24	,	,	PUNCT
ejpam-4353	502	25	ς	ς	PROPN
ejpam-4353	502	26	)	)	PUNCT
ejpam-4353	502	27	.	.	PUNCT
ejpam-4353	503	1	(	(	PUNCT
ejpam-4353	503	2	iv	iv	X
ejpam-4353	503	3	)	)	PUNCT
ejpam-4353	503	4	obvious	obvious	ADJ
ejpam-4353	503	5	.	.	PUNCT
ejpam-4353	504	1	(	(	PUNCT
ejpam-4353	504	2	v	v	NOUN
ejpam-4353	504	3	)	)	PUNCT
ejpam-4353	504	4	follows	follow	VERB
ejpam-4353	504	5	directly	directly	ADV
ejpam-4353	504	6	from	from	ADP
ejpam-4353	504	7	(	(	PUNCT
ejpam-4353	504	8	ii	ii	NOUN
ejpam-4353	504	9	)	)	PUNCT
ejpam-4353	504	10	and	and	CCONJ
ejpam-4353	504	11	(	(	PUNCT
ejpam-4353	504	12	iv	iv	X
ejpam-4353	504	13	)	)	PUNCT
ejpam-4353	504	14	.	.	PUNCT
ejpam-4353	505	1	(	(	PUNCT
ejpam-4353	505	2	vi	vi	X
ejpam-4353	505	3	)	)	PUNCT
ejpam-4353	505	4	e˜̃g	e˜̃g	X
ejpam-4353	505	5	(	(	PUNCT
ejpam-4353	505	6	(	(	PUNCT
ejpam-4353	505	7	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	505	8	,	,	PUNCT
ejpam-4353	505	9	ς	ς	NOUN
ejpam-4353	505	10	)	)	PUNCT
ejpam-4353	505	11	˜̃∪(θ2,λ2	˜̃∪(θ2,λ2	NOUN
ejpam-4353	505	12	,	,	PUNCT
ejpam-4353	505	13	ς	ς	NOUN
ejpam-4353	505	14	)	)	PUNCT
ejpam-4353	505	15	)	)	PUNCT
ejpam-4353	506	1	=	=	SYM
ejpam-4353	506	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	506	3	(	(	PUNCT
ejpam-4353	506	4	(	(	PUNCT
ejpam-4353	506	5	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	506	6	,	,	PUNCT
ejpam-4353	506	7	ς	ς	NOUN
ejpam-4353	506	8	)	)	PUNCT
ejpam-4353	506	9	˜̃∪(θ2,λ2	˜̃∪(θ2,λ2	NOUN
ejpam-4353	506	10	,	,	PUNCT
ejpam-4353	506	11	ς	ς	NOUN
ejpam-4353	506	12	)	)	PUNCT
ejpam-4353	506	13	)	)	PUNCT
ejpam-4353	507	1	c	c	NOUN
ejpam-4353	507	2	=	=	PUNCT
ejpam-4353	507	3	i˜̃g	i˜̃g	NOUN
ejpam-4353	507	4	(	(	PUNCT
ejpam-4353	507	5	(	(	PUNCT
ejpam-4353	507	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	507	7	,	,	PUNCT
ejpam-4353	507	8	ς	ς	NOUN
ejpam-4353	507	9	)	)	PUNCT
ejpam-4353	507	10	c	c	NOUN
ejpam-4353	507	11	˜̃∩	˜̃∩	ADV
ejpam-4353	507	12	i˜̃g	i˜̃g	NOUN
ejpam-4353	507	13	(	(	PUNCT
ejpam-4353	507	14	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	507	15	,	,	PUNCT
ejpam-4353	507	16	ς	ς	NOUN
ejpam-4353	507	17	)	)	PUNCT
ejpam-4353	507	18	c)˜̃⊆i˜̃g	c)˜̃⊆i˜̃g	NOUN
ejpam-4353	507	19	(	(	PUNCT
ejpam-4353	507	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	507	21	,	,	PUNCT
ejpam-4353	507	22	ς	ς	NOUN
ejpam-4353	507	23	)	)	PUNCT
ejpam-4353	507	24	c	c	NOUN
ejpam-4353	507	25	˜̃∩	˜̃∩	ADV
ejpam-4353	507	26	i˜̃g	i˜̃g	NOUN
ejpam-4353	507	27	(	(	PUNCT
ejpam-4353	507	28	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	507	29	,	,	PUNCT
ejpam-4353	507	30	ς	ς	NOUN
ejpam-4353	507	31	)	)	PUNCT
ejpam-4353	507	32	)	)	PUNCT
ejpam-4353	508	1	c	c	NOUN
ejpam-4353	508	2	(	(	PUNCT
ejpam-4353	508	3	by	by	ADP
ejpam-4353	508	4	theorem	theorem	NOUN
ejpam-4353	508	5	5(v	5(v	NUM
ejpam-4353	508	6	)	)	PUNCT
ejpam-4353	508	7	)	)	PUNCT
ejpam-4353	509	1	=	=	PUNCT
ejpam-4353	509	2	e˜̃g	e˜̃g	X
ejpam-4353	509	3	(	(	PUNCT
ejpam-4353	509	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	509	5	,	,	PUNCT
ejpam-4353	509	6	ς	ς	PROPN
ejpam-4353	509	7	)	)	PUNCT
ejpam-4353	509	8	˜̃∩	˜̃∩	ADV
ejpam-4353	509	9	e˜̃g	e˜̃g	NOUN
ejpam-4353	509	10	(	(	PUNCT
ejpam-4353	509	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	509	12	,	,	PUNCT
ejpam-4353	509	13	ς	ς	NOUN
ejpam-4353	509	14	)	)	PUNCT
ejpam-4353	509	15	.	.	PUNCT
ejpam-4353	510	1	thus	thus	ADV
ejpam-4353	510	2	,	,	PUNCT
ejpam-4353	510	3	e˜̃g	e˜̃g	X
ejpam-4353	510	4	(	(	PUNCT
ejpam-4353	510	5	(	(	PUNCT
ejpam-4353	510	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	510	7	,	,	PUNCT
ejpam-4353	510	8	ς	ς	PROPN
ejpam-4353	510	9	)	)	PUNCT
ejpam-4353	510	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	510	11	(	(	PUNCT
ejpam-4353	510	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	510	13	,	,	PUNCT
ejpam-4353	510	14	ς	ς	NOUN
ejpam-4353	510	15	)	)	PUNCT
ejpam-4353	510	16	)	)	PUNCT
ejpam-4353	511	1	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	511	2	e˜̃g	e˜̃g	X
ejpam-4353	511	3	(	(	PUNCT
ejpam-4353	511	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	511	5	,	,	PUNCT
ejpam-4353	511	6	ς	ς	PROPN
ejpam-4353	511	7	)	)	PUNCT
ejpam-4353	511	8	˜̃∩	˜̃∩	ADV
ejpam-4353	511	9	e˜̃g	e˜̃g	NOUN
ejpam-4353	511	10	(	(	PUNCT
ejpam-4353	511	11	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	511	12	,	,	PUNCT
ejpam-4353	511	13	ς	ς	NOUN
ejpam-4353	511	14	)	)	PUNCT
ejpam-4353	511	15	.	.	PUNCT
ejpam-4353	512	1	(	(	PUNCT
ejpam-4353	512	2	vii	vii	PROPN
ejpam-4353	512	3	)	)	PUNCT
ejpam-4353	512	4	e˜̃g	e˜̃g	X
ejpam-4353	512	5	(	(	PUNCT
ejpam-4353	512	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	512	7	,	,	PUNCT
ejpam-4353	512	8	ς	ς	NOUN
ejpam-4353	512	9	)	)	PUNCT
ejpam-4353	512	10	˜̃∪	˜̃∪	PROPN
ejpam-4353	512	11	e˜̃g	e˜̃g	X
ejpam-4353	512	12	(	(	PUNCT
ejpam-4353	512	13	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	512	14	,	,	PUNCT
ejpam-4353	512	15	ς	ς	NOUN
ejpam-4353	512	16	)	)	PUNCT
ejpam-4353	512	17	=	=	NOUN
ejpam-4353	512	18	i˜̃g	i˜̃g	NOUN
ejpam-4353	512	19	(	(	PUNCT
ejpam-4353	512	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	512	21	,	,	PUNCT
ejpam-4353	512	22	ς	ς	PROPN
ejpam-4353	512	23	)	)	PUNCT
ejpam-4353	512	24	c	c	PROPN
ejpam-4353	512	25	˜̃∪	˜̃∪	PROPN
ejpam-4353	512	26	i˜̃g	i˜̃g	NOUN
ejpam-4353	512	27	(	(	PUNCT
ejpam-4353	512	28	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	512	29	,	,	PUNCT
ejpam-4353	512	30	ς	ς	NOUN
ejpam-4353	512	31	)	)	PUNCT
ejpam-4353	512	32	c	c	NOUN
ejpam-4353	512	33	˜̃⊆i˜̃g	˜̃⊆i˜̃g	PRON
ejpam-4353	512	34	(	(	PUNCT
ejpam-4353	512	35	(	(	PUNCT
ejpam-4353	512	36	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	512	37	,	,	PUNCT
ejpam-4353	512	38	ς	ς	PROPN
ejpam-4353	512	39	)	)	PUNCT
ejpam-4353	512	40	c	c	PROPN
ejpam-4353	513	1	˜̃∪	˜̃∪	PROPN
ejpam-4353	513	2	(	(	PUNCT
ejpam-4353	513	3	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	513	4	,	,	PUNCT
ejpam-4353	513	5	ς	ς	NOUN
ejpam-4353	513	6	)	)	PUNCT
ejpam-4353	513	7	c	c	NOUN
ejpam-4353	513	8	)	)	PUNCT
ejpam-4353	513	9	(	(	PUNCT
ejpam-4353	513	10	by	by	ADP
ejpam-4353	513	11	theorem	theorem	ADJ
ejpam-4353	513	12	5(vi	5(vi	NUM
ejpam-4353	513	13	)	)	PUNCT
ejpam-4353	513	14	)	)	PUNCT
ejpam-4353	514	1	=	=	SYM
ejpam-4353	514	2	i˜̃g	i˜̃g	NOUN
ejpam-4353	514	3	(	(	PUNCT
ejpam-4353	514	4	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	514	5	,	,	PUNCT
ejpam-4353	514	6	ς	ς	PROPN
ejpam-4353	514	7	)	)	PUNCT
ejpam-4353	514	8	˜̃∩	˜̃∩	ADV
ejpam-4353	514	9	(	(	PUNCT
ejpam-4353	514	10	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	514	11	,	,	PUNCT
ejpam-4353	514	12	ς	ς	NOUN
ejpam-4353	514	13	)	)	PUNCT
ejpam-4353	514	14	c	c	NOUN
ejpam-4353	514	15	=	=	PUNCT
ejpam-4353	514	16	e˜̃g	e˜̃g	X
ejpam-4353	514	17	(	(	PUNCT
ejpam-4353	514	18	(	(	PUNCT
ejpam-4353	514	19	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	514	20	,	,	PUNCT
ejpam-4353	514	21	ς	ς	PROPN
ejpam-4353	514	22	)	)	PUNCT
ejpam-4353	514	23	˜̃∩	˜̃∩	ADV
ejpam-4353	514	24	(	(	PUNCT
ejpam-4353	514	25	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	514	26	,	,	PUNCT
ejpam-4353	514	27	ς	ς	NOUN
ejpam-4353	514	28	)	)	PUNCT
ejpam-4353	514	29	)	)	PUNCT
ejpam-4353	514	30	.	.	PUNCT
ejpam-4353	515	1	thus	thus	ADV
ejpam-4353	515	2	,	,	PUNCT
ejpam-4353	515	3	e˜̃g	e˜̃g	X
ejpam-4353	515	4	(	(	PUNCT
ejpam-4353	515	5	(	(	PUNCT
ejpam-4353	515	6	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	515	7	,	,	PUNCT
ejpam-4353	515	8	ς	ς	PROPN
ejpam-4353	515	9	)	)	PUNCT
ejpam-4353	515	10	˜̃∩	˜̃∩	ADV
ejpam-4353	515	11	(	(	PUNCT
ejpam-4353	515	12	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	515	13	,	,	PUNCT
ejpam-4353	515	14	ς	ς	NOUN
ejpam-4353	515	15	)	)	PUNCT
ejpam-4353	515	16	)	)	PUNCT
ejpam-4353	515	17	˜̃⊇	˜̃⊇	ADP
ejpam-4353	515	18	e˜̃g	e˜̃g	NOUN
ejpam-4353	515	19	(	(	PUNCT
ejpam-4353	515	20	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	515	21	,	,	PUNCT
ejpam-4353	515	22	ς	ς	NOUN
ejpam-4353	515	23	)	)	PUNCT
ejpam-4353	515	24	˜̃∪	˜̃∪	PROPN
ejpam-4353	515	25	e˜̃g	e˜̃g	X
ejpam-4353	515	26	(	(	PUNCT
ejpam-4353	515	27	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	515	28	,	,	PUNCT
ejpam-4353	515	29	ς	ς	NOUN
ejpam-4353	515	30	)	)	PUNCT
ejpam-4353	515	31	.	.	PUNCT
ejpam-4353	516	1	theorem	theorem	NOUN
ejpam-4353	516	2	15	15	NUM
ejpam-4353	516	3	.	.	PUNCT
ejpam-4353	517	1	let	let	VERB
ejpam-4353	517	2	(	(	PUNCT
ejpam-4353	517	3	ω	ω	NOUN
ejpam-4353	517	4	,	,	PUNCT
ejpam-4353	517	5	˜̃g	˜̃g	PROPN
ejpam-4353	517	6	,	,	PUNCT
ejpam-4353	517	7	ς,¬ς	ς,¬ς	NUM
ejpam-4353	517	8	)	)	PUNCT
ejpam-4353	517	9	be	be	VERB
ejpam-4353	517	10	a	a	DET
ejpam-4353	517	11	bsgt	bsgt	NOUN
ejpam-4353	517	12	s	s	PRON
ejpam-4353	517	13	and	and	CCONJ
ejpam-4353	517	14	(	(	PUNCT
ejpam-4353	517	15	θ	θ	PROPN
ejpam-4353	517	16	,	,	PUNCT
ejpam-4353	517	17	λ	λ	PROPN
ejpam-4353	517	18	,	,	PUNCT
ejpam-4353	517	19	ς	ς	PROPN
ejpam-4353	517	20	)	)	PUNCT
ejpam-4353	517	21	˜̃∈	˜̃∈	PROPN
ejpam-4353	517	22	bss(ω	bss(ω	PROPN
ejpam-4353	517	23	)	)	PUNCT
ejpam-4353	517	24	.	.	PUNCT
ejpam-4353	518	1	then	then	ADV
ejpam-4353	518	2	(	(	PUNCT
ejpam-4353	518	3	i	i	NOUN
ejpam-4353	518	4	)	)	PUNCT
ejpam-4353	518	5	(	(	PUNCT
ejpam-4353	518	6	b˜̃g	b˜̃g	NOUN
ejpam-4353	518	7	(	(	PUNCT
ejpam-4353	518	8	θ	θ	PROPN
ejpam-4353	518	9	,	,	PUNCT
ejpam-4353	518	10	λ	λ	PROPN
ejpam-4353	518	11	,	,	PUNCT
ejpam-4353	518	12	ς))c	ς))c	NOUN
ejpam-4353	518	13	=	=	PUNCT
ejpam-4353	518	14	i˜̃g	i˜̃g	NOUN
ejpam-4353	518	15	(	(	PUNCT
ejpam-4353	518	16	θ	θ	PROPN
ejpam-4353	518	17	,	,	PUNCT
ejpam-4353	518	18	λ	λ	PROPN
ejpam-4353	518	19	,	,	PUNCT
ejpam-4353	518	20	ς	ς	NOUN
ejpam-4353	518	21	)	)	PUNCT
ejpam-4353	518	22	˜̃∪	˜̃∪	PROPN
ejpam-4353	518	23	e˜̃g	e˜̃g	X
ejpam-4353	518	24	(	(	PUNCT
ejpam-4353	518	25	θ	θ	NOUN
ejpam-4353	518	26	,	,	PUNCT
ejpam-4353	518	27	λ	λ	PROPN
ejpam-4353	518	28	,	,	PUNCT
ejpam-4353	518	29	ς	ς	PROPN
ejpam-4353	518	30	)	)	PUNCT
ejpam-4353	518	31	.	.	PUNCT
ejpam-4353	519	1	(	(	PUNCT
ejpam-4353	519	2	ii	ii	NOUN
ejpam-4353	519	3	)	)	PUNCT
ejpam-4353	519	4	b˜̃g	b˜̃g	NOUN
ejpam-4353	519	5	(	(	PUNCT
ejpam-4353	519	6	θ	θ	NOUN
ejpam-4353	519	7	,	,	PUNCT
ejpam-4353	519	8	λ	λ	PROPN
ejpam-4353	519	9	,	,	PUNCT
ejpam-4353	519	10	ς	ς	NOUN
ejpam-4353	519	11	)	)	PUNCT
ejpam-4353	519	12	˜̃∪	˜̃∪	PROPN
ejpam-4353	519	13	i˜̃g	i˜̃g	NOUN
ejpam-4353	519	14	(	(	PUNCT
ejpam-4353	519	15	θ	θ	PROPN
ejpam-4353	519	16	,	,	PUNCT
ejpam-4353	519	17	λ	λ	PROPN
ejpam-4353	519	18	,	,	PUNCT
ejpam-4353	519	19	ς	ς	NOUN
ejpam-4353	519	20	)	)	PUNCT
ejpam-4353	519	21	˜̃∪	˜̃∪	PROPN
ejpam-4353	519	22	e˜̃g	e˜̃g	X
ejpam-4353	519	23	(	(	PUNCT
ejpam-4353	519	24	θ	θ	NOUN
ejpam-4353	519	25	,	,	PUNCT
ejpam-4353	519	26	λ	λ	PROPN
ejpam-4353	519	27	,	,	PUNCT
ejpam-4353	519	28	ς	ς	PROPN
ejpam-4353	519	29	)	)	PUNCT
ejpam-4353	519	30	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	519	31	(	(	PUNCT
ejpam-4353	519	32	˜̃	˜̃	NOUN
ejpam-4353	519	33	ω	ω	PROPN
ejpam-4353	519	34	,	,	PUNCT
ejpam-4353	519	35	φ	φ	PROPN
ejpam-4353	519	36	,	,	PUNCT
ejpam-4353	519	37	ς	ς	PROPN
ejpam-4353	519	38	)	)	PUNCT
ejpam-4353	519	39	.	.	PUNCT
ejpam-4353	520	1	proof	proof	NOUN
ejpam-4353	520	2	.	.	PUNCT
ejpam-4353	521	1	(	(	PUNCT
ejpam-4353	521	2	i	i	NOUN
ejpam-4353	521	3	)	)	PUNCT
ejpam-4353	521	4	since	since	SCONJ
ejpam-4353	521	5	(	(	PUNCT
ejpam-4353	521	6	b˜̃g	b˜̃g	PROPN
ejpam-4353	521	7	(	(	PUNCT
ejpam-4353	521	8	θ	θ	PROPN
ejpam-4353	521	9	,	,	PUNCT
ejpam-4353	521	10	λ	λ	PROPN
ejpam-4353	521	11	,	,	PUNCT
ejpam-4353	521	12	ς))c	ς))c	NOUN
ejpam-4353	521	13	=	=	PUNCT
ejpam-4353	521	14	i˜̃g	i˜̃g	NOUN
ejpam-4353	521	15	(	(	PUNCT
ejpam-4353	521	16	θ	θ	PROPN
ejpam-4353	521	17	,	,	PUNCT
ejpam-4353	521	18	λ	λ	PROPN
ejpam-4353	521	19	,	,	PUNCT
ejpam-4353	521	20	ς	ς	NOUN
ejpam-4353	521	21	)	)	PUNCT
ejpam-4353	521	22	˜̃∪	˜̃∪	PROPN
ejpam-4353	521	23	i˜̃g	i˜̃g	NOUN
ejpam-4353	521	24	(	(	PUNCT
ejpam-4353	521	25	θ	θ	PROPN
ejpam-4353	521	26	,	,	PUNCT
ejpam-4353	521	27	λ	λ	PROPN
ejpam-4353	521	28	,	,	PUNCT
ejpam-4353	521	29	ς)c	ς)c	NOUN
ejpam-4353	521	30	=	=	SYM
ejpam-4353	521	31	i˜̃g	i˜̃g	NOUN
ejpam-4353	521	32	(	(	PUNCT
ejpam-4353	521	33	θ	θ	PROPN
ejpam-4353	521	34	,	,	PUNCT
ejpam-4353	521	35	λ	λ	PROPN
ejpam-4353	521	36	,	,	PUNCT
ejpam-4353	521	37	ς	ς	NOUN
ejpam-4353	521	38	)	)	PUNCT
ejpam-4353	522	1	˜̃∪	˜̃∪	PROPN
ejpam-4353	522	2	e˜̃g	e˜̃g	X
ejpam-4353	522	3	(	(	PUNCT
ejpam-4353	522	4	θ	θ	NOUN
ejpam-4353	522	5	,	,	PUNCT
ejpam-4353	522	6	λ	λ	PROPN
ejpam-4353	522	7	,	,	PUNCT
ejpam-4353	522	8	ς	ς	PROPN
ejpam-4353	522	9	)	)	PUNCT
ejpam-4353	522	10	.	.	PUNCT
ejpam-4353	523	1	h.	h.	PROPN
ejpam-4353	523	2	y.	y.	PROPN
ejpam-4353	523	3	saleh	saleh	PROPN
ejpam-4353	523	4	,	,	PUNCT
ejpam-4353	523	5	b.	b.	PROPN
ejpam-4353	523	6	a.	a.	PROPN
ejpam-4353	523	7	asaad	asaad	PROPN
ejpam-4353	523	8	,	,	PUNCT
ejpam-4353	523	9	r.	r.	PROPN
ejpam-4353	523	10	a.	a.	PROPN
ejpam-4353	523	11	mohammed	mohammed	PROPN
ejpam-4353	523	12	/	/	SYM
ejpam-4353	523	13	eur	eur	PROPN
ejpam-4353	523	14	.	.	PUNCT
ejpam-4353	524	1	j.	j.	PROPN
ejpam-4353	524	2	pure	pure	PROPN
ejpam-4353	524	3	appl	appl	PROPN
ejpam-4353	524	4	.	.	PROPN
ejpam-4353	524	5	math	math	PROPN
ejpam-4353	524	6	,	,	PUNCT
ejpam-4353	524	7	15	15	NUM
ejpam-4353	524	8	(	(	PUNCT
ejpam-4353	524	9	2	2	NUM
ejpam-4353	524	10	)	)	PUNCT
ejpam-4353	524	11	(	(	PUNCT
ejpam-4353	524	12	2022	2022	NUM
ejpam-4353	524	13	)	)	PUNCT
ejpam-4353	524	14	,	,	PUNCT
ejpam-4353	524	15	646	646	NUM
ejpam-4353	524	16	-	-	SYM
ejpam-4353	524	17	671	671	NUM
ejpam-4353	524	18	667	667	NUM
ejpam-4353	524	19	(	(	PUNCT
ejpam-4353	524	20	ii	ii	NOUN
ejpam-4353	524	21	)	)	PUNCT
ejpam-4353	524	22	from	from	ADP
ejpam-4353	524	23	(	(	PUNCT
ejpam-4353	524	24	i	i	NOUN
ejpam-4353	524	25	)	)	PUNCT
ejpam-4353	525	1	,	,	PUNCT
ejpam-4353	525	2	we	we	PRON
ejpam-4353	525	3	have	have	VERB
ejpam-4353	525	4	(	(	PUNCT
ejpam-4353	525	5	b˜̃g	b˜̃g	NOUN
ejpam-4353	525	6	(	(	PUNCT
ejpam-4353	525	7	θ	θ	PROPN
ejpam-4353	525	8	,	,	PUNCT
ejpam-4353	525	9	λ	λ	PROPN
ejpam-4353	525	10	,	,	PUNCT
ejpam-4353	525	11	ς))c	ς))c	NOUN
ejpam-4353	525	12	=	=	PUNCT
ejpam-4353	525	13	i˜̃g	i˜̃g	NOUN
ejpam-4353	525	14	(	(	PUNCT
ejpam-4353	525	15	θ	θ	PROPN
ejpam-4353	525	16	,	,	PUNCT
ejpam-4353	525	17	λ	λ	PROPN
ejpam-4353	525	18	,	,	PUNCT
ejpam-4353	525	19	ς	ς	NOUN
ejpam-4353	525	20	)	)	PUNCT
ejpam-4353	525	21	˜̃∪	˜̃∪	PROPN
ejpam-4353	525	22	e˜̃g	e˜̃g	X
ejpam-4353	525	23	(	(	PUNCT
ejpam-4353	525	24	θ	θ	NOUN
ejpam-4353	525	25	,	,	PUNCT
ejpam-4353	525	26	λ	λ	PROPN
ejpam-4353	525	27	,	,	PUNCT
ejpam-4353	525	28	ς	ς	PROPN
ejpam-4353	525	29	)	)	PUNCT
ejpam-4353	525	30	.	.	PUNCT
ejpam-4353	526	1	therefore	therefore	ADV
ejpam-4353	526	2	,	,	PUNCT
ejpam-4353	526	3	b˜̃g	b˜̃g	NOUN
ejpam-4353	526	4	(	(	PUNCT
ejpam-4353	526	5	θ	θ	PROPN
ejpam-4353	526	6	,	,	PUNCT
ejpam-4353	526	7	λ	λ	PROPN
ejpam-4353	526	8	,	,	PUNCT
ejpam-4353	526	9	ς	ς	NOUN
ejpam-4353	526	10	)	)	PUNCT
ejpam-4353	526	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	526	12	i˜̃g	i˜̃g	NOUN
ejpam-4353	526	13	(	(	PUNCT
ejpam-4353	526	14	θ	θ	PROPN
ejpam-4353	526	15	,	,	PUNCT
ejpam-4353	526	16	λ	λ	PROPN
ejpam-4353	526	17	,	,	PUNCT
ejpam-4353	526	18	ς	ς	NOUN
ejpam-4353	526	19	)	)	PUNCT
ejpam-4353	526	20	˜̃∪	˜̃∪	PROPN
ejpam-4353	526	21	e˜̃g	e˜̃g	X
ejpam-4353	526	22	(	(	PUNCT
ejpam-4353	526	23	θ	θ	NOUN
ejpam-4353	526	24	,	,	PUNCT
ejpam-4353	526	25	λ	λ	PROPN
ejpam-4353	526	26	,	,	PUNCT
ejpam-4353	526	27	ς	ς	PROPN
ejpam-4353	526	28	)	)	PUNCT
ejpam-4353	526	29	˜̃⊆	˜̃⊆	PROPN
ejpam-4353	526	30	(	(	PUNCT
ejpam-4353	526	31	˜̃	˜̃	NOUN
ejpam-4353	526	32	ω	ω	PROPN
ejpam-4353	526	33	,	,	PUNCT
ejpam-4353	526	34	φ	φ	PROPN
ejpam-4353	526	35	,	,	PUNCT
ejpam-4353	526	36	ς	ς	PROPN
ejpam-4353	526	37	)	)	PUNCT
ejpam-4353	526	38	.	.	PUNCT
ejpam-4353	527	1	the	the	DET
ejpam-4353	527	2	following	follow	VERB
ejpam-4353	527	3	example	example	NOUN
ejpam-4353	527	4	shows	show	VERB
ejpam-4353	527	5	that	that	SCONJ
ejpam-4353	527	6	the	the	DET
ejpam-4353	527	7	converse	converse	NOUN
ejpam-4353	527	8	of	of	ADP
ejpam-4353	527	9	theorem	theorem	NOUN
ejpam-4353	527	10	15	15	NUM
ejpam-4353	527	11	does	do	AUX
ejpam-4353	527	12	not	not	PART
ejpam-4353	527	13	hold	hold	VERB
ejpam-4353	527	14	in	in	ADP
ejpam-4353	527	15	general	general	ADJ
ejpam-4353	527	16	.	.	PUNCT
ejpam-4353	527	17	example	example	NOUN
ejpam-4353	528	1	9	9	NUM
ejpam-4353	528	2	.	.	PUNCT
ejpam-4353	528	3	take	take	VERB
ejpam-4353	528	4	the	the	DET
ejpam-4353	528	5	bipolar	bipolar	ADJ
ejpam-4353	528	6	soft	soft	ADJ
ejpam-4353	528	7	set	set	NOUN
ejpam-4353	528	8	(	(	PUNCT
ejpam-4353	528	9	θ	θ	NOUN
ejpam-4353	528	10	,	,	PUNCT
ejpam-4353	528	11	λ	λ	PROPN
ejpam-4353	528	12	,	,	PUNCT
ejpam-4353	528	13	ς	ς	NOUN
ejpam-4353	528	14	)	)	PUNCT
ejpam-4353	528	15	as	as	ADP
ejpam-4353	528	16	in	in	ADP
ejpam-4353	528	17	example	example	NOUN
ejpam-4353	528	18	6	6	NUM
ejpam-4353	528	19	.	.	PUNCT
ejpam-4353	529	1	then	then	ADV
ejpam-4353	529	2	i˜̃g	i˜̃g	VERB
ejpam-4353	529	3	(	(	PUNCT
ejpam-4353	529	4	θ	θ	PROPN
ejpam-4353	529	5	,	,	PUNCT
ejpam-4353	529	6	λ	λ	PROPN
ejpam-4353	529	7	,	,	PUNCT
ejpam-4353	529	8	ς	ς	NOUN
ejpam-4353	529	9	)	)	PUNCT
ejpam-4353	529	10	=	=	SYM
ejpam-4353	529	11	{	{	PUNCT
ejpam-4353	529	12	(	(	PUNCT
ejpam-4353	529	13	ϱ1	ϱ1	PROPN
ejpam-4353	529	14	,	,	PUNCT
ejpam-4353	529	15	ϕ	ϕ	NOUN
ejpam-4353	529	16	,	,	PUNCT
ejpam-4353	529	17	{	{	PUNCT
ejpam-4353	529	18	ω2	ω2	ADJ
ejpam-4353	529	19	,	,	PUNCT
ejpam-4353	529	20	ω3	ω3	NOUN
ejpam-4353	529	21	}	}	PUNCT
ejpam-4353	529	22	)	)	PUNCT
ejpam-4353	529	23	,	,	PUNCT
ejpam-4353	529	24	(	(	PUNCT
ejpam-4353	529	25	ϱ2	ϱ2	NOUN
ejpam-4353	529	26	,	,	PUNCT
ejpam-4353	529	27	{	{	PUNCT
ejpam-4353	529	28	ω1	ω1	PROPN
ejpam-4353	529	29	}	}	PUNCT
ejpam-4353	529	30	,	,	PUNCT
ejpam-4353	529	31	{	{	PUNCT
ejpam-4353	529	32	ω3	ω3	NOUN
ejpam-4353	529	33	}	}	PUNCT
ejpam-4353	529	34	)	)	PUNCT
ejpam-4353	529	35	}	}	PUNCT
ejpam-4353	529	36	,	,	PUNCT
ejpam-4353	529	37	b˜̃g	b˜̃g	NOUN
ejpam-4353	529	38	(	(	PUNCT
ejpam-4353	529	39	θ	θ	PROPN
ejpam-4353	529	40	,	,	PUNCT
ejpam-4353	529	41	λ	λ	PROPN
ejpam-4353	529	42	,	,	PUNCT
ejpam-4353	529	43	ς	ς	NOUN
ejpam-4353	529	44	)	)	PUNCT
ejpam-4353	529	45	=	=	SYM
ejpam-4353	529	46	{	{	PUNCT
ejpam-4353	529	47	(	(	PUNCT
ejpam-4353	529	48	ϱ1	ϱ1	PROPN
ejpam-4353	529	49	,	,	PUNCT
ejpam-4353	529	50	ϕ	ϕ	NOUN
ejpam-4353	529	51	,	,	PUNCT
ejpam-4353	529	52	{	{	PUNCT
ejpam-4353	529	53	ω3	ω3	NOUN
ejpam-4353	529	54	}	}	PUNCT
ejpam-4353	529	55	)	)	PUNCT
ejpam-4353	529	56	,	,	PUNCT
ejpam-4353	529	57	(	(	PUNCT
ejpam-4353	529	58	ϱ2	ϱ2	PROPN
ejpam-4353	529	59	,	,	PUNCT
ejpam-4353	529	60	ϕ	ϕ	NOUN
ejpam-4353	529	61	,	,	PUNCT
ejpam-4353	529	62	{	{	PUNCT
ejpam-4353	529	63	ω1	ω1	PROPN
ejpam-4353	529	64	,	,	PUNCT
ejpam-4353	529	65	ω3	ω3	ADJ
ejpam-4353	529	66	}	}	PUNCT
ejpam-4353	529	67	)	)	PUNCT
ejpam-4353	529	68	}	}	PUNCT
ejpam-4353	529	69	and	and	CCONJ
ejpam-4353	529	70	e˜̃g	e˜̃g	X
ejpam-4353	529	71	(	(	PUNCT
ejpam-4353	529	72	θ	θ	NOUN
ejpam-4353	529	73	,	,	PUNCT
ejpam-4353	529	74	λ	λ	PROPN
ejpam-4353	529	75	,	,	PUNCT
ejpam-4353	529	76	ς	ς	NOUN
ejpam-4353	529	77	)	)	PUNCT
ejpam-4353	529	78	=	=	SYM
ejpam-4353	529	79	{	{	PUNCT
ejpam-4353	529	80	(	(	PUNCT
ejpam-4353	529	81	ϱ1	ϱ1	NOUN
ejpam-4353	529	82	,	,	PUNCT
ejpam-4353	529	83	{	{	PUNCT
ejpam-4353	529	84	ω3	ω3	NOUN
ejpam-4353	529	85	}	}	PUNCT
ejpam-4353	529	86	,	,	PUNCT
ejpam-4353	529	87	{	{	PUNCT
ejpam-4353	529	88	ω1	ω1	PROPN
ejpam-4353	529	89	}	}	PUNCT
ejpam-4353	529	90	)	)	PUNCT
ejpam-4353	529	91	,	,	PUNCT
ejpam-4353	529	92	(	(	PUNCT
ejpam-4353	529	93	ϱ2	ϱ2	NOUN
ejpam-4353	529	94	,	,	PUNCT
ejpam-4353	529	95	{	{	PUNCT
ejpam-4353	529	96	ω3	ω3	NOUN
ejpam-4353	529	97	}	}	PUNCT
ejpam-4353	529	98	,	,	PUNCT
ejpam-4353	529	99	{	{	PUNCT
ejpam-4353	529	100	ω1	ω1	PROPN
ejpam-4353	529	101	,	,	PUNCT
ejpam-4353	529	102	ω2	ω2	ADJ
ejpam-4353	529	103	}	}	PUNCT
ejpam-4353	529	104	)	)	PUNCT
ejpam-4353	529	105	}	}	PUNCT
ejpam-4353	529	106	.	.	PUNCT
ejpam-4353	530	1	thus	thus	ADV
ejpam-4353	530	2	,	,	PUNCT
ejpam-4353	530	3	b˜̃g	b˜̃g	NOUN
ejpam-4353	530	4	(	(	PUNCT
ejpam-4353	530	5	θ	θ	PROPN
ejpam-4353	530	6	,	,	PUNCT
ejpam-4353	530	7	λ	λ	PROPN
ejpam-4353	530	8	,	,	PUNCT
ejpam-4353	530	9	ς	ς	NOUN
ejpam-4353	530	10	)	)	PUNCT
ejpam-4353	530	11	˜̃∪	˜̃∪	PROPN
ejpam-4353	530	12	i˜̃g	i˜̃g	NOUN
ejpam-4353	530	13	(	(	PUNCT
ejpam-4353	530	14	θ	θ	PROPN
ejpam-4353	530	15	,	,	PUNCT
ejpam-4353	530	16	λ	λ	PROPN
ejpam-4353	530	17	,	,	PUNCT
ejpam-4353	530	18	ς	ς	NOUN
ejpam-4353	530	19	)	)	PUNCT
ejpam-4353	530	20	˜̃∪	˜̃∪	PROPN
ejpam-4353	530	21	e˜̃g	e˜̃g	X
ejpam-4353	530	22	(	(	PUNCT
ejpam-4353	530	23	θ	θ	NOUN
ejpam-4353	530	24	,	,	PUNCT
ejpam-4353	530	25	λ	λ	PROPN
ejpam-4353	530	26	,	,	PUNCT
ejpam-4353	530	27	ς	ς	NOUN
ejpam-4353	530	28	)	)	PUNCT
ejpam-4353	530	29	̸=	̸=	PROPN
ejpam-4353	530	30	(	(	PUNCT
ejpam-4353	530	31	˜̃	˜̃	NOUN
ejpam-4353	530	32	ω	ω	PROPN
ejpam-4353	530	33	,	,	PUNCT
ejpam-4353	530	34	φ	φ	PROPN
ejpam-4353	530	35	,	,	PUNCT
ejpam-4353	530	36	ς	ς	PROPN
ejpam-4353	530	37	)	)	PUNCT
ejpam-4353	530	38	.	.	PUNCT
ejpam-4353	531	1	4	4	X
ejpam-4353	531	2	.	.	X
ejpam-4353	531	3	an	an	DET
ejpam-4353	531	4	application	application	NOUN
ejpam-4353	531	5	on	on	ADP
ejpam-4353	531	6	bsgt	bsgt	NOUN
ejpam-4353	531	7	s	s	PRON
ejpam-4353	531	8	the	the	DET
ejpam-4353	531	9	present	present	ADJ
ejpam-4353	531	10	section	section	NOUN
ejpam-4353	531	11	gives	give	VERB
ejpam-4353	531	12	the	the	DET
ejpam-4353	531	13	application	application	NOUN
ejpam-4353	531	14	of	of	ADP
ejpam-4353	531	15	bsgt	bsgt	NOUN
ejpam-4353	531	16	ss	ss	INTJ
ejpam-4353	531	17	and	and	CCONJ
ejpam-4353	531	18	investigates	investigate	VERB
ejpam-4353	531	19	some	some	PRON
ejpam-4353	531	20	of	of	ADP
ejpam-4353	531	21	its	its	PRON
ejpam-4353	531	22	properties	property	NOUN
ejpam-4353	531	23	.	.	PUNCT
ejpam-4353	532	1	definition	definition	NOUN
ejpam-4353	532	2	24	24	NUM
ejpam-4353	532	3	.	.	PUNCT
ejpam-4353	533	1	let	let	VERB
ejpam-4353	533	2	ς	ς	PROPN
ejpam-4353	533	3	=	=	PUNCT
ejpam-4353	533	4	{	{	PUNCT
ejpam-4353	533	5	ϱ1	ϱ1	PROPN
ejpam-4353	533	6	,	,	PUNCT
ejpam-4353	533	7	ϱ2	ϱ2	NOUN
ejpam-4353	533	8	,	,	PUNCT
ejpam-4353	533	9	.	.	PUNCT
ejpam-4353	533	10	.	.	PUNCT
ejpam-4353	534	1	.	.	PUNCT
ejpam-4353	535	1	,	,	PUNCT
ejpam-4353	535	2	ϱn	ϱn	AUX
ejpam-4353	535	3	}	}	PUNCT
ejpam-4353	535	4	be	be	AUX
ejpam-4353	535	5	a	a	DET
ejpam-4353	535	6	parameters	parameter	NOUN
ejpam-4353	535	7	set	set	VERB
ejpam-4353	535	8	,	,	PUNCT
ejpam-4353	535	9	ω	ω	X
ejpam-4353	535	10	=	=	SYM
ejpam-4353	535	11	{	{	PUNCT
ejpam-4353	535	12	ω1	ω1	PROPN
ejpam-4353	535	13	,	,	PUNCT
ejpam-4353	535	14	ω2	ω2	ADJ
ejpam-4353	535	15	,	,	PUNCT
ejpam-4353	535	16	.	.	PUNCT
ejpam-4353	535	17	.	.	PUNCT
ejpam-4353	536	1	.	.	PUNCT
ejpam-4353	537	1	,	,	PUNCT
ejpam-4353	537	2	ωn	ωn	AUX
ejpam-4353	537	3	}	}	PUNCT
ejpam-4353	537	4	be	be	AUX
ejpam-4353	537	5	an	an	DET
ejpam-4353	537	6	initial	initial	ADJ
ejpam-4353	537	7	universe	universe	NOUN
ejpam-4353	537	8	and	and	CCONJ
ejpam-4353	537	9	(	(	PUNCT
ejpam-4353	537	10	θ	θ	PROPN
ejpam-4353	537	11	,	,	PUNCT
ejpam-4353	537	12	λ	λ	PROPN
ejpam-4353	537	13	,	,	PUNCT
ejpam-4353	537	14	ς	ς	NOUN
ejpam-4353	537	15	)	)	PUNCT
ejpam-4353	537	16	be	be	VERB
ejpam-4353	537	17	a	a	DET
ejpam-4353	537	18	bss	bss	NOUN
ejpam-4353	537	19	over	over	ADP
ejpam-4353	537	20	ω	ω	PROPN
ejpam-4353	537	21	.	.	PUNCT
ejpam-4353	538	1	then	then	ADV
ejpam-4353	538	2	the	the	DET
ejpam-4353	538	3	score	score	NOUN
ejpam-4353	538	4	of	of	ADP
ejpam-4353	538	5	an	an	DET
ejpam-4353	538	6	object	object	NOUN
ejpam-4353	538	7	by	by	ADP
ejpam-4353	538	8	κi	κi	NOUN
ejpam-4353	538	9	,	,	PUNCT
ejpam-4353	538	10	is	be	AUX
ejpam-4353	538	11	computed	compute	VERB
ejpam-4353	538	12	as	as	ADP
ejpam-4353	538	13	κi	κi	NOUN
ejpam-4353	538	14	=	=	NOUN
ejpam-4353	538	15	pi	pi	NOUN
ejpam-4353	538	16	−	−	PROPN
ejpam-4353	538	17	ni	ni	PROPN
ejpam-4353	538	18	where	where	SCONJ
ejpam-4353	538	19	pi	pi	NOUN
ejpam-4353	538	20	represents	represent	VERB
ejpam-4353	538	21	the	the	DET
ejpam-4353	538	22	set	set	NOUN
ejpam-4353	538	23	of	of	ADP
ejpam-4353	538	24	positive	positive	ADJ
ejpam-4353	538	25	description	description	NOUN
ejpam-4353	538	26	(	(	PUNCT
ejpam-4353	538	27	ϱi	ϱi	NOUN
ejpam-4353	538	28	)	)	PUNCT
ejpam-4353	538	29	which	which	PRON
ejpam-4353	538	30	is	be	AUX
ejpam-4353	538	31	available	available	ADJ
ejpam-4353	538	32	for	for	ADP
ejpam-4353	538	33	those	those	PRON
ejpam-4353	538	34	who	who	PRON
ejpam-4353	538	35	are	be	AUX
ejpam-4353	538	36	applying	apply	VERB
ejpam-4353	538	37	for	for	ADP
ejpam-4353	538	38	a	a	DET
ejpam-4353	538	39	job	job	NOUN
ejpam-4353	538	40	and	and	CCONJ
ejpam-4353	538	41	it	it	PRON
ejpam-4353	538	42	is	be	AUX
ejpam-4353	538	43	computed	compute	VERB
ejpam-4353	538	44	as	as	ADP
ejpam-4353	538	45	pi	pi	NOUN
ejpam-4353	538	46	=	=	PUNCT
ejpam-4353	539	1	∑n	∑n	PROPN
ejpam-4353	539	2	j=1	j=1	ADJ
ejpam-4353	539	3	αij	αij	NOUN
ejpam-4353	539	4	.	.	PUNCT
ejpam-4353	540	1	whereas	whereas	ADV
ejpam-4353	540	2	,	,	PUNCT
ejpam-4353	540	3	ni	ni	PROPN
ejpam-4353	540	4	represents	represent	VERB
ejpam-4353	540	5	the	the	DET
ejpam-4353	540	6	set	set	NOUN
ejpam-4353	540	7	of	of	ADP
ejpam-4353	540	8	negative	negative	ADJ
ejpam-4353	540	9	description	description	NOUN
ejpam-4353	540	10	(	(	PUNCT
ejpam-4353	540	11	¬ϱi	¬ϱi	PROPN
ejpam-4353	540	12	)	)	PUNCT
ejpam-4353	540	13	which	which	PRON
ejpam-4353	540	14	is	be	AUX
ejpam-4353	540	15	available	available	ADJ
ejpam-4353	540	16	for	for	ADP
ejpam-4353	540	17	those	those	PRON
ejpam-4353	540	18	who	who	PRON
ejpam-4353	540	19	are	be	AUX
ejpam-4353	540	20	applying	apply	VERB
ejpam-4353	540	21	for	for	ADP
ejpam-4353	540	22	a	a	DET
ejpam-4353	540	23	job	job	NOUN
ejpam-4353	540	24	and	and	CCONJ
ejpam-4353	540	25	it	it	PRON
ejpam-4353	540	26	is	be	AUX
ejpam-4353	540	27	computed	compute	VERB
ejpam-4353	540	28	as	as	ADP
ejpam-4353	540	29	ni	ni	PROPN
ejpam-4353	540	30	=	=	PROPN
ejpam-4353	540	31	∑n	∑n	PROPN
ejpam-4353	540	32	j=1	j=1	PROPN
ejpam-4353	540	33	βij	βij	PROPN
ejpam-4353	540	34	.	.	PUNCT
ejpam-4353	541	1	this	this	PRON
ejpam-4353	541	2	means	mean	VERB
ejpam-4353	541	3	that	that	SCONJ
ejpam-4353	541	4	κi	κi	NOUN
ejpam-4353	541	5	is	be	AUX
ejpam-4353	541	6	the	the	DET
ejpam-4353	541	7	different	different	ADJ
ejpam-4353	541	8	point	point	NOUN
ejpam-4353	541	9	between	between	ADP
ejpam-4353	541	10	the	the	DET
ejpam-4353	541	11	scores	score	NOUN
ejpam-4353	541	12	of	of	ADP
ejpam-4353	541	13	positive	positive	ADJ
ejpam-4353	541	14	descriptions	description	NOUN
ejpam-4353	541	15	except	except	SCONJ
ejpam-4353	541	16	the	the	DET
ejpam-4353	541	17	scores	score	NOUN
ejpam-4353	541	18	of	of	ADP
ejpam-4353	541	19	negative	negative	ADJ
ejpam-4353	541	20	descriptions	description	NOUN
ejpam-4353	541	21	to	to	PART
ejpam-4353	541	22	get	get	VERB
ejpam-4353	541	23	the	the	DET
ejpam-4353	541	24	highest	high	ADJ
ejpam-4353	541	25	score	score	NOUN
ejpam-4353	541	26	for	for	ADP
ejpam-4353	541	27	their	their	PRON
ejpam-4353	541	28	selection	selection	NOUN
ejpam-4353	541	29	to	to	PART
ejpam-4353	541	30	own	own	VERB
ejpam-4353	541	31	job	job	NOUN
ejpam-4353	541	32	.	.	PUNCT
ejpam-4353	542	1	now	now	ADV
ejpam-4353	542	2	,	,	PUNCT
ejpam-4353	542	3	we	we	PRON
ejpam-4353	542	4	can	can	AUX
ejpam-4353	542	5	depend	depend	VERB
ejpam-4353	542	6	on	on	ADP
ejpam-4353	542	7	the	the	DET
ejpam-4353	542	8	following	follow	VERB
ejpam-4353	542	9	algorithm	algorithm	NOUN
ejpam-4353	542	10	to	to	PART
ejpam-4353	542	11	select	select	VERB
ejpam-4353	542	12	a	a	DET
ejpam-4353	542	13	sample	sample	NOUN
ejpam-4353	542	14	among	among	ADP
ejpam-4353	542	15	those	those	PRON
ejpam-4353	542	16	who	who	PRON
ejpam-4353	542	17	applying	apply	VERB
ejpam-4353	542	18	for	for	ADP
ejpam-4353	542	19	a	a	DET
ejpam-4353	542	20	job	job	NOUN
ejpam-4353	542	21	in	in	ADP
ejpam-4353	542	22	vacancy	vacancy	NOUN
ejpam-4353	542	23	jobs	job	NOUN
ejpam-4353	542	24	.	.	PUNCT
ejpam-4353	543	1	algorithm	algorithm	NOUN
ejpam-4353	543	2	1	1	NUM
ejpam-4353	543	3	:	:	PUNCT
ejpam-4353	543	4	the	the	DET
ejpam-4353	543	5	algorithm	algorithm	NOUN
ejpam-4353	543	6	for	for	ADP
ejpam-4353	543	7	the	the	DET
ejpam-4353	543	8	selection	selection	NOUN
ejpam-4353	543	9	of	of	ADP
ejpam-4353	543	10	a	a	DET
ejpam-4353	543	11	preferable	preferable	ADJ
ejpam-4353	543	12	choice	choice	NOUN
ejpam-4353	543	13	is	be	AUX
ejpam-4353	543	14	given	give	VERB
ejpam-4353	543	15	as	as	ADP
ejpam-4353	543	16	the	the	DET
ejpam-4353	543	17	following	follow	VERB
ejpam-4353	543	18	steps	step	NOUN
ejpam-4353	543	19	:	:	PUNCT
ejpam-4353	543	20	step	step	NOUN
ejpam-4353	543	21	1	1	NUM
ejpam-4353	543	22	.	.	PUNCT
ejpam-4353	544	1	input	input	VERB
ejpam-4353	544	2	the	the	DET
ejpam-4353	544	3	bss(θ	bss(θ	PROPN
ejpam-4353	544	4	,	,	PUNCT
ejpam-4353	544	5	λ	λ	PROPN
ejpam-4353	544	6	,	,	PUNCT
ejpam-4353	544	7	ς	ς	PROPN
ejpam-4353	544	8	)	)	PUNCT
ejpam-4353	544	9	.	.	PUNCT
ejpam-4353	545	1	step	step	NOUN
ejpam-4353	545	2	2	2	NUM
ejpam-4353	545	3	.	.	PUNCT
ejpam-4353	546	1	write	write	VERB
ejpam-4353	546	2	the	the	DET
ejpam-4353	546	3	bss	bss	NOUN
ejpam-4353	546	4	in	in	ADP
ejpam-4353	546	5	the	the	DET
ejpam-4353	546	6	tabular	tabular	NOUN
ejpam-4353	546	7	form	form	NOUN
ejpam-4353	546	8	.	.	PUNCT
ejpam-4353	547	1	step	step	NOUN
ejpam-4353	547	2	3	3	NUM
ejpam-4353	547	3	.	.	PUNCT
ejpam-4353	547	4	compute	compute	VERB
ejpam-4353	547	5	the	the	DET
ejpam-4353	547	6	score	score	NOUN
ejpam-4353	547	7	κi	κi	NOUN
ejpam-4353	547	8	of	of	ADP
ejpam-4353	547	9	ωi	ωi	NUM
ejpam-4353	547	10	,	,	PUNCT
ejpam-4353	547	11	∀ωi	∀ωi	PROPN
ejpam-4353	547	12	∈	∈	PROPN
ejpam-4353	548	1	ω	ω	X
ejpam-4353	548	2	.	.	PUNCT
ejpam-4353	549	1	step	step	NOUN
ejpam-4353	549	2	4	4	NUM
ejpam-4353	549	3	.	.	PUNCT
ejpam-4353	550	1	find	find	VERB
ejpam-4353	550	2	κs	κs	NOUN
ejpam-4353	550	3	=	=	SYM
ejpam-4353	550	4	maxκi	maxκi	NOUN
ejpam-4353	550	5	.	.	PUNCT
ejpam-4353	551	1	step	step	NOUN
ejpam-4353	551	2	5	5	NUM
ejpam-4353	551	3	.	.	PUNCT
ejpam-4353	552	1	if	if	SCONJ
ejpam-4353	552	2	s	s	PROPN
ejpam-4353	552	3	has	have	VERB
ejpam-4353	552	4	more	more	ADJ
ejpam-4353	552	5	than	than	ADP
ejpam-4353	552	6	one	one	NUM
ejpam-4353	552	7	value	value	NOUN
ejpam-4353	552	8	,	,	PUNCT
ejpam-4353	552	9	then	then	ADV
ejpam-4353	552	10	one	one	NUM
ejpam-4353	552	11	of	of	ADP
ejpam-4353	552	12	ωi	ωi	NUM
ejpam-4353	552	13	or	or	CCONJ
ejpam-4353	552	14	all	all	PRON
ejpam-4353	552	15	of	of	ADP
ejpam-4353	552	16	ωi	ωi	PRON
ejpam-4353	552	17	could	could	AUX
ejpam-4353	552	18	be	be	AUX
ejpam-4353	552	19	preferable	preferable	ADJ
ejpam-4353	552	20	choice	choice	NOUN
ejpam-4353	552	21	.	.	PUNCT
ejpam-4353	553	1	step	step	NOUN
ejpam-4353	553	2	6	6	NUM
ejpam-4353	553	3	.	.	PUNCT
ejpam-4353	553	4	to	to	PART
ejpam-4353	553	5	select	select	VERB
ejpam-4353	553	6	new	new	ADJ
ejpam-4353	553	7	κs	κs	NOUN
ejpam-4353	553	8	.	.	PUNCT
ejpam-4353	554	1	go	go	VERB
ejpam-4353	554	2	to	to	PART
ejpam-4353	554	3	step	step	VERB
ejpam-4353	554	4	4	4	NUM
ejpam-4353	554	5	.	.	PUNCT
ejpam-4353	554	6	example	example	NOUN
ejpam-4353	555	1	10	10	NUM
ejpam-4353	555	2	.	.	PUNCT
ejpam-4353	556	1	we	we	PRON
ejpam-4353	556	2	consider	consider	VERB
ejpam-4353	556	3	the	the	DET
ejpam-4353	556	4	problem	problem	NOUN
ejpam-4353	556	5	in	in	ADP
ejpam-4353	556	6	example	example	NOUN
ejpam-4353	556	7	1	1	NUM
ejpam-4353	556	8	to	to	PART
ejpam-4353	556	9	select	select	VERB
ejpam-4353	556	10	the	the	DET
ejpam-4353	556	11	most	most	ADV
ejpam-4353	556	12	suitable	suitable	ADJ
ejpam-4353	556	13	people	people	NOUN
ejpam-4353	556	14	who	who	PRON
ejpam-4353	556	15	are	be	AUX
ejpam-4353	556	16	offered	offer	VERB
ejpam-4353	556	17	by	by	ADP
ejpam-4353	556	18	mr	mr	PROPN
ejpam-4353	556	19	.	.	PROPN
ejpam-4353	556	20	ibrahim	ibrahim	PROPN
ejpam-4353	556	21	.	.	PUNCT
ejpam-4353	557	1	according	accord	VERB
ejpam-4353	557	2	to	to	ADP
ejpam-4353	557	3	tourism	tourism	NOUN
ejpam-4353	557	4	companies	company	NOUN
ejpam-4353	557	5	’	’	PART
ejpam-4353	557	6	conditions	condition	NOUN
ejpam-4353	557	7	,	,	PUNCT
ejpam-4353	557	8	people	people	NOUN
ejpam-4353	557	9	who	who	PRON
ejpam-4353	557	10	own	own	VERB
ejpam-4353	557	11	specific	specific	ADJ
ejpam-4353	557	12	description	description	NOUN
ejpam-4353	557	13	will	will	AUX
ejpam-4353	557	14	be	be	AUX
ejpam-4353	557	15	selected	select	VERB
ejpam-4353	557	16	from	from	ADP
ejpam-4353	557	17	ς	ς	PROPN
ejpam-4353	557	18	and	and	CCONJ
ejpam-4353	557	19	n	n	PRON
ejpam-4353	557	20	selection	selection	NOUN
ejpam-4353	557	21	of	of	ADP
ejpam-4353	557	22	people	people	NOUN
ejpam-4353	557	23	in	in	ADP
ejpam-4353	557	24	h.	h.	PROPN
ejpam-4353	557	25	y.	y.	PROPN
ejpam-4353	557	26	saleh	saleh	PROPN
ejpam-4353	557	27	,	,	PUNCT
ejpam-4353	557	28	b.	b.	PROPN
ejpam-4353	557	29	a.	a.	PROPN
ejpam-4353	557	30	asaad	asaad	PROPN
ejpam-4353	557	31	,	,	PUNCT
ejpam-4353	557	32	r.	r.	PROPN
ejpam-4353	557	33	a.	a.	PROPN
ejpam-4353	557	34	mohammed	mohammed	PROPN
ejpam-4353	557	35	/	/	SYM
ejpam-4353	557	36	eur	eur	PROPN
ejpam-4353	557	37	.	.	PUNCT
ejpam-4353	558	1	j.	j.	PROPN
ejpam-4353	558	2	pure	pure	PROPN
ejpam-4353	558	3	appl	appl	PROPN
ejpam-4353	558	4	.	.	PROPN
ejpam-4353	558	5	math	math	PROPN
ejpam-4353	558	6	,	,	PUNCT
ejpam-4353	558	7	15	15	NUM
ejpam-4353	558	8	(	(	PUNCT
ejpam-4353	558	9	2	2	NUM
ejpam-4353	558	10	)	)	PUNCT
ejpam-4353	558	11	(	(	PUNCT
ejpam-4353	558	12	2022	2022	NUM
ejpam-4353	558	13	)	)	PUNCT
ejpam-4353	558	14	,	,	PUNCT
ejpam-4353	558	15	646	646	NUM
ejpam-4353	558	16	-	-	SYM
ejpam-4353	558	17	671	671	NUM
ejpam-4353	558	18	668	668	NUM
ejpam-4353	558	19	duhok	duhok	NOUN
ejpam-4353	558	20	city	city	NOUN
ejpam-4353	558	21	.	.	PUNCT
ejpam-4353	559	1	suppose	suppose	VERB
ejpam-4353	559	2	ς1	ς1	NOUN
ejpam-4353	559	3	=	=	SYM
ejpam-4353	559	4	{	{	PUNCT
ejpam-4353	559	5	ϱ1	ϱ1	NOUN
ejpam-4353	559	6	=	=	PUNCT
ejpam-4353	559	7	”	"	PUNCT
ejpam-4353	559	8	hard	hard	ADJ
ejpam-4353	559	9	working	working	NOUN
ejpam-4353	559	10	”	"	PUNCT
ejpam-4353	559	11	,	,	PUNCT
ejpam-4353	559	12	ϱ3	ϱ3	NOUN
ejpam-4353	559	13	=	=	PUNCT
ejpam-4353	559	14	”	"	PUNCT
ejpam-4353	559	15	flexibility	flexibility	NOUN
ejpam-4353	559	16	”	"	PUNCT
ejpam-4353	559	17	,	,	PUNCT
ejpam-4353	559	18	ϱ5	ϱ5	NOUN
ejpam-4353	559	19	=	=	SYM
ejpam-4353	559	20	”	"	PUNCT
ejpam-4353	559	21	self	self	NOUN
ejpam-4353	559	22	confidence	confidence	NOUN
ejpam-4353	559	23	”	"	PUNCT
ejpam-4353	559	24	,	,	PUNCT
ejpam-4353	559	25	ϱ7	ϱ7	NOUN
ejpam-4353	559	26	=	=	SYM
ejpam-4353	559	27	”	"	PUNCT
ejpam-4353	559	28	skillful	skillful	ADJ
ejpam-4353	559	29	”	"	PUNCT
ejpam-4353	559	30	}	}	PUNCT
ejpam-4353	559	31	and	and	CCONJ
ejpam-4353	559	32	ς2	ς2	PROPN
ejpam-4353	559	33	=	=	SYM
ejpam-4353	559	34	{	{	PUNCT
ejpam-4353	559	35	ϱ2	ϱ2	NOUN
ejpam-4353	559	36	=	=	PUNCT
ejpam-4353	559	37	”	"	PUNCT
ejpam-4353	559	38	negligent	negligent	ADJ
ejpam-4353	559	39	”	"	PUNCT
ejpam-4353	559	40	,	,	PUNCT
ejpam-4353	559	41	ϱ4	ϱ4	NOUN
ejpam-4353	559	42	=	=	PUNCT
ejpam-4353	559	43	”	"	PUNCT
ejpam-4353	559	44	rigidity	rigidity	NOUN
ejpam-4353	559	45	”	"	PUNCT
ejpam-4353	559	46	,	,	PUNCT
ejpam-4353	559	47	ϱ6	ϱ6	NOUN
ejpam-4353	559	48	=	=	SYM
ejpam-4353	559	49	”	"	PUNCT
ejpam-4353	559	50	shyness	shyness	NOUN
ejpam-4353	559	51	”	"	PUNCT
ejpam-4353	559	52	,	,	PUNCT
ejpam-4353	559	53	ϱ8	ϱ8	PROPN
ejpam-4353	559	54	=	=	PUNCT
ejpam-4353	559	55	”	"	PUNCT
ejpam-4353	559	56	unskillful	unskillful	ADJ
ejpam-4353	559	57	”	"	PUNCT
ejpam-4353	559	58	}	}	PUNCT
ejpam-4353	559	59	.	.	PUNCT
ejpam-4353	560	1	here	here	ADV
ejpam-4353	560	2	,	,	PUNCT
ejpam-4353	560	3	we	we	PRON
ejpam-4353	560	4	will	will	AUX
ejpam-4353	560	5	given	give	VERB
ejpam-4353	560	6	ς	ς	PROPN
ejpam-4353	560	7	=	=	PUNCT
ejpam-4353	560	8	ς1	ς1	NOUN
ejpam-4353	560	9	∪	∪	ADJ
ejpam-4353	560	10	ς2	ς2	PROPN
ejpam-4353	560	11	.	.	PUNCT
ejpam-4353	561	1	now	now	ADV
ejpam-4353	561	2	,	,	PUNCT
ejpam-4353	561	3	we	we	PRON
ejpam-4353	561	4	can	can	AUX
ejpam-4353	561	5	use	use	VERB
ejpam-4353	561	6	the	the	DET
ejpam-4353	561	7	above	above	ADJ
ejpam-4353	561	8	algorithm	algorithm	NOUN
ejpam-4353	561	9	to	to	PART
ejpam-4353	561	10	select	select	VERB
ejpam-4353	561	11	employees	employee	NOUN
ejpam-4353	561	12	that	that	PRON
ejpam-4353	561	13	are	be	AUX
ejpam-4353	561	14	come	come	VERB
ejpam-4353	561	15	for	for	ADP
ejpam-4353	561	16	a	a	DET
ejpam-4353	561	17	job	job	NOUN
ejpam-4353	561	18	in	in	ADP
ejpam-4353	561	19	tourism	tourism	NOUN
ejpam-4353	561	20	.	.	PUNCT
ejpam-4353	562	1	table	table	NOUN
ejpam-4353	562	2	4	4	NUM
ejpam-4353	562	3	:	:	PUNCT
ejpam-4353	562	4	tabular	tabular	NOUN
ejpam-4353	562	5	form	form	VERB
ejpam-4353	562	6	the	the	DET
ejpam-4353	562	7	score	score	NOUN
ejpam-4353	562	8	of	of	ADP
ejpam-4353	562	9	the	the	DET
ejpam-4353	562	10	bipolar	bipolar	ADJ
ejpam-4353	562	11	soft	soft	ADJ
ejpam-4353	562	12	set	set	NOUN
ejpam-4353	562	13	(	(	PUNCT
ejpam-4353	562	14	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	562	15	,	,	PUNCT
ejpam-4353	562	16	ς	ς	NOUN
ejpam-4353	562	17	)	)	PUNCT
ejpam-4353	562	18	(	(	PUNCT
ejpam-4353	562	19	θ1,λ1)(ϱi	θ1,λ1)(ϱi	PROPN
ejpam-4353	562	20	)	)	PUNCT
ejpam-4353	562	21	pi	pi	NOUN
ejpam-4353	562	22	ni	ni	PROPN
ejpam-4353	562	23	κi	κi	PROPN
ejpam-4353	562	24	ω1	ω1	PROPN
ejpam-4353	562	25	1	1	NUM
ejpam-4353	562	26	2	2	NUM
ejpam-4353	562	27	−1	−1	NOUN
ejpam-4353	562	28	ω2	ω2	ADJ
ejpam-4353	562	29	1	1	NUM
ejpam-4353	562	30	3	3	NUM
ejpam-4353	562	31	-2	-2	NOUN
ejpam-4353	562	32	ω3	ω3	ADJ
ejpam-4353	562	33	2	2	NUM
ejpam-4353	562	34	2	2	NUM
ejpam-4353	562	35	0	0	NUM
ejpam-4353	562	36	ω4	ω4	NUM
ejpam-4353	562	37	2	2	NUM
ejpam-4353	562	38	0	0	NUM
ejpam-4353	562	39	2	2	NUM
ejpam-4353	562	40	ω5	ω5	NOUN
ejpam-4353	562	41	2	2	NUM
ejpam-4353	562	42	1	1	NUM
ejpam-4353	562	43	1	1	NUM
ejpam-4353	562	44	ω6	ω6	NOUN
ejpam-4353	562	45	1	1	NUM
ejpam-4353	562	46	1	1	NUM
ejpam-4353	562	47	0	0	NUM
ejpam-4353	562	48	ω7	ω7	NOUN
ejpam-4353	562	49	2	2	NUM
ejpam-4353	562	50	0	0	NUM
ejpam-4353	562	51	2	2	NUM
ejpam-4353	562	52	ω8	ω8	NOUN
ejpam-4353	562	53	1	1	NUM
ejpam-4353	562	54	2	2	NUM
ejpam-4353	562	55	-1	-1	NOUN
ejpam-4353	562	56	table	table	NOUN
ejpam-4353	562	57	5	5	NUM
ejpam-4353	562	58	:	:	PUNCT
ejpam-4353	562	59	tabular	tabular	NOUN
ejpam-4353	562	60	form	form	VERB
ejpam-4353	562	61	the	the	DET
ejpam-4353	562	62	score	score	NOUN
ejpam-4353	562	63	of	of	ADP
ejpam-4353	562	64	the	the	DET
ejpam-4353	562	65	bipolar	bipolar	ADJ
ejpam-4353	562	66	soft	soft	ADJ
ejpam-4353	562	67	set	set	NOUN
ejpam-4353	562	68	(	(	PUNCT
ejpam-4353	562	69	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	562	70	,	,	PUNCT
ejpam-4353	562	71	ς	ς	NOUN
ejpam-4353	562	72	)	)	PUNCT
ejpam-4353	562	73	(	(	PUNCT
ejpam-4353	562	74	θ2,λ2)(ϱi	θ2,λ2)(ϱi	NOUN
ejpam-4353	562	75	)	)	PUNCT
ejpam-4353	562	76	pi	pi	NOUN
ejpam-4353	562	77	ni	ni	PROPN
ejpam-4353	562	78	κi	κi	PROPN
ejpam-4353	562	79	ω1	ω1	PROPN
ejpam-4353	562	80	2	2	NUM
ejpam-4353	562	81	1	1	NUM
ejpam-4353	562	82	1	1	NUM
ejpam-4353	562	83	ω2	ω2	ADJ
ejpam-4353	562	84	2	2	NUM
ejpam-4353	562	85	2	2	NUM
ejpam-4353	562	86	0	0	NUM
ejpam-4353	562	87	ω3	ω3	NOUN
ejpam-4353	562	88	1	1	NUM
ejpam-4353	562	89	3	3	NUM
ejpam-4353	562	90	-2	-2	NOUN
ejpam-4353	562	91	ω4	ω4	NUM
ejpam-4353	562	92	2	2	NUM
ejpam-4353	562	93	2	2	NUM
ejpam-4353	562	94	0	0	NUM
ejpam-4353	562	95	ω5	ω5	NOUN
ejpam-4353	562	96	1	1	NUM
ejpam-4353	562	97	2	2	NUM
ejpam-4353	562	98	-1	-1	ADP
ejpam-4353	562	99	ω6	ω6	NOUN
ejpam-4353	562	100	0	0	NUM
ejpam-4353	562	101	1	1	NUM
ejpam-4353	562	102	-1	-1	NOUN
ejpam-4353	562	103	ω7	ω7	NOUN
ejpam-4353	562	104	0	0	NUM
ejpam-4353	562	105	2	2	NUM
ejpam-4353	562	106	-2	-2	NOUN
ejpam-4353	562	107	ω8	ω8	NOUN
ejpam-4353	562	108	0	0	NUM
ejpam-4353	562	109	2	2	NUM
ejpam-4353	562	110	-2	-2	NOUN
ejpam-4353	562	111	table	table	NOUN
ejpam-4353	562	112	6	6	NUM
ejpam-4353	562	113	:	:	PUNCT
ejpam-4353	562	114	tabular	tabular	NOUN
ejpam-4353	562	115	form	form	VERB
ejpam-4353	562	116	the	the	DET
ejpam-4353	562	117	score	score	NOUN
ejpam-4353	562	118	of	of	ADP
ejpam-4353	562	119	the	the	DET
ejpam-4353	562	120	bipolar	bipolar	ADJ
ejpam-4353	562	121	soft	soft	ADJ
ejpam-4353	562	122	set	set	NOUN
ejpam-4353	562	123	(	(	PUNCT
ejpam-4353	562	124	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	562	125	,	,	PUNCT
ejpam-4353	562	126	ς	ς	NOUN
ejpam-4353	562	127	)	)	PUNCT
ejpam-4353	562	128	(	(	PUNCT
ejpam-4353	562	129	θ3,λ3)(ϱi	θ3,λ3)(ϱi	PROPN
ejpam-4353	562	130	)	)	PUNCT
ejpam-4353	562	131	pi	pi	NOUN
ejpam-4353	562	132	ni	ni	PROPN
ejpam-4353	562	133	κi	κi	PROPN
ejpam-4353	562	134	ω1	ω1	PROPN
ejpam-4353	562	135	2	2	NUM
ejpam-4353	562	136	1	1	NUM
ejpam-4353	562	137	1	1	NUM
ejpam-4353	562	138	ω2	ω2	ADJ
ejpam-4353	562	139	2	2	NUM
ejpam-4353	562	140	2	2	NUM
ejpam-4353	562	141	0	0	NUM
ejpam-4353	562	142	ω3	ω3	NOUN
ejpam-4353	562	143	2	2	NUM
ejpam-4353	562	144	2	2	NUM
ejpam-4353	562	145	0	0	NUM
ejpam-4353	562	146	ω4	ω4	NUM
ejpam-4353	562	147	2	2	NUM
ejpam-4353	562	148	0	0	NUM
ejpam-4353	562	149	2	2	NUM
ejpam-4353	562	150	ω5	ω5	NOUN
ejpam-4353	562	151	2	2	NUM
ejpam-4353	562	152	1	1	NUM
ejpam-4353	562	153	1	1	NUM
ejpam-4353	562	154	ω6	ω6	NOUN
ejpam-4353	562	155	1	1	NUM
ejpam-4353	562	156	1	1	NUM
ejpam-4353	562	157	0	0	NUM
ejpam-4353	562	158	ω7	ω7	NOUN
ejpam-4353	562	159	2	2	NUM
ejpam-4353	562	160	0	0	NUM
ejpam-4353	562	161	2	2	NUM
ejpam-4353	562	162	ω8	ω8	NOUN
ejpam-4353	562	163	1	1	NUM
ejpam-4353	562	164	2	2	NUM
ejpam-4353	562	165	-1	-1	PUNCT
ejpam-4353	562	166	clearly	clearly	ADV
ejpam-4353	562	167	,	,	PUNCT
ejpam-4353	562	168	the	the	DET
ejpam-4353	562	169	maximum	maximum	NOUN
ejpam-4353	562	170	of	of	ADP
ejpam-4353	562	171	(	(	PUNCT
ejpam-4353	562	172	θ1,λ1	θ1,λ1	PROPN
ejpam-4353	562	173	,	,	PUNCT
ejpam-4353	562	174	ς	ς	NOUN
ejpam-4353	562	175	)	)	PUNCT
ejpam-4353	562	176	,	,	PUNCT
ejpam-4353	562	177	(	(	PUNCT
ejpam-4353	562	178	θ2,λ2	θ2,λ2	PROPN
ejpam-4353	562	179	,	,	PUNCT
ejpam-4353	562	180	ς	ς	NOUN
ejpam-4353	562	181	)	)	PUNCT
ejpam-4353	562	182	and	and	CCONJ
ejpam-4353	562	183	(	(	PUNCT
ejpam-4353	562	184	θ3,λ3	θ3,λ3	PROPN
ejpam-4353	562	185	,	,	PUNCT
ejpam-4353	562	186	ς	ς	NOUN
ejpam-4353	562	187	)	)	PUNCT
ejpam-4353	562	188	are	be	AUX
ejpam-4353	562	189	2	2	NUM
ejpam-4353	562	190	,	,	PUNCT
ejpam-4353	562	191	1	1	NUM
ejpam-4353	562	192	,	,	PUNCT
ejpam-4353	562	193	and	and	CCONJ
ejpam-4353	562	194	2	2	NUM
ejpam-4353	562	195	respectively	respectively	ADV
ejpam-4353	562	196	.	.	PUNCT
ejpam-4353	563	1	the	the	DET
ejpam-4353	563	2	optimal	optimal	ADJ
ejpam-4353	563	3	elements	element	NOUN
ejpam-4353	563	4	of	of	ADP
ejpam-4353	563	5	ω	ω	PROPN
ejpam-4353	563	6	are	be	AUX
ejpam-4353	563	7	ω4	ω4	NUM
ejpam-4353	563	8	,	,	PUNCT
ejpam-4353	563	9	ω1	ω1	NOUN
ejpam-4353	563	10	and	and	CCONJ
ejpam-4353	563	11	ω7	ω7	NOUN
ejpam-4353	563	12	.	.	PUNCT
ejpam-4353	564	1	references	reference	NOUN
ejpam-4353	564	2	669	669	NUM
ejpam-4353	564	3	5	5	NUM
ejpam-4353	564	4	.	.	PUNCT
ejpam-4353	565	1	conclusions	conclusion	NOUN
ejpam-4353	565	2	we	we	PRON
ejpam-4353	565	3	have	have	AUX
ejpam-4353	565	4	introduced	introduce	VERB
ejpam-4353	565	5	bipolar	bipolar	ADJ
ejpam-4353	565	6	soft	soft	ADJ
ejpam-4353	565	7	generalized	generalized	ADJ
ejpam-4353	565	8	topological	topological	ADJ
ejpam-4353	565	9	spaces	space	NOUN
ejpam-4353	565	10	via	via	ADP
ejpam-4353	565	11	bipolar	bipolar	ADJ
ejpam-4353	565	12	soft	soft	ADJ
ejpam-4353	565	13	sets	set	NOUN
ejpam-4353	565	14	.	.	PUNCT
ejpam-4353	566	1	the	the	DET
ejpam-4353	566	2	bipolar	bipolar	ADJ
ejpam-4353	566	3	soft	soft	ADJ
ejpam-4353	566	4	sets	set	NOUN
ejpam-4353	566	5	˜̃g	˜̃g	NOUN
ejpam-4353	566	6	-	-	PUNCT
ejpam-4353	566	7	interior	interior	NOUN
ejpam-4353	566	8	,	,	PUNCT
ejpam-4353	566	9	˜̃g	˜̃g	NOUN
ejpam-4353	566	10	-	-	PUNCT
ejpam-4353	566	11	closure	closure	NOUN
ejpam-4353	566	12	,	,	PUNCT
ejpam-4353	566	13	˜̃g	˜̃g	NOUN
ejpam-4353	566	14	-	-	PUNCT
ejpam-4353	566	15	exterior	exterior	NOUN
ejpam-4353	566	16	and	and	CCONJ
ejpam-4353	566	17	˜̃g	˜̃g	NOUN
ejpam-4353	566	18	-	-	PUNCT
ejpam-4353	566	19	boundary	boundary	NOUN
ejpam-4353	566	20	have	have	AUX
ejpam-4353	566	21	been	be	AUX
ejpam-4353	566	22	investigated	investigate	VERB
ejpam-4353	566	23	and	and	CCONJ
ejpam-4353	566	24	some	some	DET
ejpam-4353	566	25	results	result	NOUN
ejpam-4353	566	26	among	among	ADP
ejpam-4353	566	27	them	they	PRON
ejpam-4353	566	28	are	be	AUX
ejpam-4353	566	29	obtained	obtain	VERB
ejpam-4353	566	30	.	.	PUNCT
ejpam-4353	567	1	furthermore	furthermore	ADV
ejpam-4353	567	2	,	,	PUNCT
ejpam-4353	567	3	the	the	DET
ejpam-4353	567	4	application	application	NOUN
ejpam-4353	567	5	of	of	ADP
ejpam-4353	567	6	bipolar	bipolar	ADJ
ejpam-4353	567	7	soft	soft	ADJ
ejpam-4353	567	8	generalized	generalized	ADJ
ejpam-4353	567	9	topological	topological	ADJ
ejpam-4353	567	10	spaces	space	NOUN
ejpam-4353	567	11	in	in	ADP
ejpam-4353	567	12	a	a	DET
ejpam-4353	567	13	decision	decision	NOUN
ejpam-4353	567	14	making	making	NOUN
ejpam-4353	567	15	problem	problem	NOUN
ejpam-4353	567	16	has	have	AUX
ejpam-4353	567	17	been	be	AUX
ejpam-4353	567	18	presented	present	VERB
ejpam-4353	567	19	.	.	PUNCT
ejpam-4353	568	1	in	in	ADP
ejpam-4353	568	2	the	the	DET
ejpam-4353	568	3	future	future	ADJ
ejpam-4353	568	4	work	work	NOUN
ejpam-4353	568	5	,	,	PUNCT
ejpam-4353	568	6	we	we	PRON
ejpam-4353	568	7	will	will	AUX
ejpam-4353	568	8	construct	construct	VERB
ejpam-4353	568	9	bipolar	bipolar	ADJ
ejpam-4353	568	10	soft	soft	ADJ
ejpam-4353	568	11	connectedness	connectedness	NOUN
ejpam-4353	568	12	,	,	PUNCT
ejpam-4353	568	13	bipolar	bipolar	ADJ
ejpam-4353	568	14	soft	soft	ADJ
ejpam-4353	568	15	compactness	compactness	NOUN
ejpam-4353	568	16	,	,	PUNCT
ejpam-4353	568	17	bipolar	bipolar	ADJ
ejpam-4353	568	18	soft	soft	ADJ
ejpam-4353	568	19	separation	separation	NOUN
ejpam-4353	568	20	axioms	axiom	NOUN
ejpam-4353	568	21	and	and	CCONJ
ejpam-4353	568	22	bipolar	bipolar	ADJ
ejpam-4353	568	23	soft	soft	ADJ
ejpam-4353	568	24	mappings	mapping	NOUN
ejpam-4353	568	25	using	use	VERB
ejpam-4353	568	26	bipolar	bipolar	ADJ
ejpam-4353	568	27	soft	soft	ADJ
ejpam-4353	568	28	generalized	generalized	ADJ
ejpam-4353	568	29	topological	topological	ADJ
ejpam-4353	568	30	spaces	space	NOUN
ejpam-4353	568	31	.	.	PUNCT
ejpam-4353	569	1	references	reference	NOUN
ejpam-4353	569	2	[	[	X
ejpam-4353	569	3	1	1	NUM
ejpam-4353	569	4	]	]	PUNCT
ejpam-4353	569	5	h	h	NOUN
ejpam-4353	569	6	aktas	akta	NOUN
ejpam-4353	569	7	and	and	CCONJ
ejpam-4353	569	8	n	n	PRON
ejpam-4353	569	9	çaǧman	çaǧman	PROPN
ejpam-4353	569	10	.	.	PUNCT
ejpam-4353	569	11	soft	soft	ADJ
ejpam-4353	569	12	sets	set	NOUN
ejpam-4353	569	13	and	and	CCONJ
ejpam-4353	569	14	soft	soft	ADJ
ejpam-4353	569	15	groups	group	NOUN
ejpam-4353	569	16	.	.	PUNCT
ejpam-4353	570	1	information	information	NOUN
ejpam-4353	570	2	sciences	sciences	PROPN
ejpam-4353	570	3	,	,	PUNCT
ejpam-4353	570	4	177:2726–2735	177:2726–2735	NUM
ejpam-4353	570	5	,	,	PUNCT
ejpam-4353	570	6	2007	2007	NUM
ejpam-4353	570	7	.	.	PUNCT
ejpam-4353	571	1	[	[	X
ejpam-4353	571	2	2	2	NUM
ejpam-4353	571	3	]	]	X
ejpam-4353	571	4	s	s	PART
ejpam-4353	571	5	al	al	PROPN
ejpam-4353	571	6	-	-	PUNCT
ejpam-4353	571	7	ghour	ghour	PROPN
ejpam-4353	571	8	and	and	CCONJ
ejpam-4353	571	9	z	z	NOUN
ejpam-4353	571	10	a	a	DET
ejpam-4353	571	11	ameen	ameen	NOUN
ejpam-4353	571	12	.	.	PUNCT
ejpam-4353	572	1	maximal	maximal	ADJ
ejpam-4353	572	2	soft	soft	ADJ
ejpam-4353	572	3	compact	compact	ADJ
ejpam-4353	572	4	and	and	CCONJ
ejpam-4353	572	5	maximal	maximal	ADJ
ejpam-4353	572	6	soft	soft	ADJ
ejpam-4353	572	7	connected	connected	ADJ
ejpam-4353	572	8	topologies	topology	NOUN
ejpam-4353	572	9	.	.	PUNCT
ejpam-4353	573	1	applied	apply	VERB
ejpam-4353	573	2	computational	computational	ADJ
ejpam-4353	573	3	intelligence	intelligence	NOUN
ejpam-4353	573	4	and	and	CCONJ
ejpam-4353	573	5	soft	soft	ADJ
ejpam-4353	573	6	computing	computing	NOUN
ejpam-4353	573	7	,	,	PUNCT
ejpam-4353	573	8	2022	2022	NUM
ejpam-4353	573	9	:	:	PUNCT
ejpam-4353	573	10	article	article	NOUN
ejpam-4353	573	11	i	i	PROPN
ejpam-4353	573	12	d	d	PROPN
ejpam-4353	573	13	9860015	9860015	NUM
ejpam-4353	573	14	,	,	PUNCT
ejpam-4353	573	15	2022	2022	NUM
ejpam-4353	573	16	.	.	PUNCT
ejpam-4353	574	1	[	[	X
ejpam-4353	574	2	3	3	NUM
ejpam-4353	574	3	]	]	X
ejpam-4353	574	4	s	s	PART
ejpam-4353	574	5	al	al	PROPN
ejpam-4353	574	6	-	-	PUNCT
ejpam-4353	574	7	ghour	ghour	PROPN
ejpam-4353	574	8	and	and	CCONJ
ejpam-4353	574	9	w	w	PROPN
ejpam-4353	574	10	hamed	hamed	PROPN
ejpam-4353	574	11	.	.	PUNCT
ejpam-4353	575	1	on	on	ADP
ejpam-4353	575	2	two	two	NUM
ejpam-4353	575	3	classes	class	NOUN
ejpam-4353	575	4	of	of	ADP
ejpam-4353	575	5	soft	soft	ADJ
ejpam-4353	575	6	sets	set	NOUN
ejpam-4353	575	7	in	in	ADP
ejpam-4353	575	8	soft	soft	ADJ
ejpam-4353	575	9	topological	topological	ADJ
ejpam-4353	575	10	spaces	space	NOUN
ejpam-4353	575	11	.	.	PUNCT
ejpam-4353	576	1	symmetry	symmetry	NOUN
ejpam-4353	576	2	,	,	PUNCT
ejpam-4353	576	3	12(2):265	12(2):265	NUM
ejpam-4353	576	4	,	,	PUNCT
ejpam-4353	576	5	2020	2020	NUM
ejpam-4353	576	6	.	.	PUNCT
ejpam-4353	577	1	[	[	X
ejpam-4353	577	2	4	4	NUM
ejpam-4353	577	3	]	]	X
ejpam-4353	577	4	t	t	PROPN
ejpam-4353	577	5	m	m	PROPN
ejpam-4353	577	6	al	al	PROPN
ejpam-4353	577	7	-	-	PUNCT
ejpam-4353	577	8	shami	shami	PROPN
ejpam-4353	577	9	.	.	PUNCT
ejpam-4353	578	1	bipolar	bipolar	ADJ
ejpam-4353	578	2	soft	soft	ADJ
ejpam-4353	578	3	sets	set	NOUN
ejpam-4353	578	4	:	:	PUNCT
ejpam-4353	578	5	relations	relation	NOUN
ejpam-4353	578	6	between	between	ADP
ejpam-4353	578	7	them	they	PRON
ejpam-4353	578	8	and	and	CCONJ
ejpam-4353	578	9	ordinary	ordinary	ADJ
ejpam-4353	578	10	points	point	NOUN
ejpam-4353	578	11	and	and	CCONJ
ejpam-4353	578	12	their	their	PRON
ejpam-4353	578	13	applications	application	NOUN
ejpam-4353	578	14	.	.	PUNCT
ejpam-4353	579	1	complexity	complexity	NOUN
ejpam-4353	579	2	,	,	PUNCT
ejpam-4353	579	3	2021	2021	NUM
ejpam-4353	579	4	:	:	PUNCT
ejpam-4353	579	5	article	article	NOUN
ejpam-4353	579	6	i	i	PROPN
ejpam-4353	579	7	d	d	PROPN
ejpam-4353	579	8	6621854	6621854	NUM
ejpam-4353	579	9	,	,	PUNCT
ejpam-4353	579	10	2021	2021	NUM
ejpam-4353	579	11	.	.	PUNCT
ejpam-4353	580	1	[	[	X
ejpam-4353	580	2	5	5	NUM
ejpam-4353	580	3	]	]	PUNCT
ejpam-4353	580	4	t	t	PROPN
ejpam-4353	580	5	m	m	PROPN
ejpam-4353	580	6	al	al	PROPN
ejpam-4353	580	7	-	-	PUNCT
ejpam-4353	580	8	shami	shami	PROPN
ejpam-4353	580	9	.	.	PUNCT
ejpam-4353	581	1	new	new	ADJ
ejpam-4353	581	2	soft	soft	ADJ
ejpam-4353	581	3	structure	structure	NOUN
ejpam-4353	581	4	:	:	PUNCT
ejpam-4353	581	5	infra	infra	NOUN
ejpam-4353	581	6	soft	soft	ADJ
ejpam-4353	581	7	topological	topological	ADJ
ejpam-4353	581	8	spaces	space	NOUN
ejpam-4353	581	9	.	.	PUNCT
ejpam-4353	582	1	mathematical	mathematical	ADJ
ejpam-4353	582	2	problems	problem	NOUN
ejpam-4353	582	3	in	in	ADP
ejpam-4353	582	4	engineering	engineering	NOUN
ejpam-4353	582	5	,	,	PUNCT
ejpam-4353	582	6	2021	2021	NUM
ejpam-4353	582	7	:	:	PUNCT
ejpam-4353	582	8	article	article	NOUN
ejpam-4353	582	9	i	i	PROPN
ejpam-4353	582	10	d	d	PROPN
ejpam-4353	582	11	3361604	3361604	NUM
ejpam-4353	582	12	,	,	PUNCT
ejpam-4353	582	13	2021	2021	NUM
ejpam-4353	582	14	.	.	PUNCT
ejpam-4353	583	1	[	[	X
ejpam-4353	583	2	6	6	NUM
ejpam-4353	583	3	]	]	PUNCT
ejpam-4353	583	4	t	t	PROPN
ejpam-4353	583	5	m	m	PROPN
ejpam-4353	583	6	al	al	PROPN
ejpam-4353	583	7	-	-	PUNCT
ejpam-4353	583	8	shami	shami	PROPN
ejpam-4353	583	9	,	,	PUNCT
ejpam-4353	583	10	m	m	PROPN
ejpam-4353	583	11	e	e	PROPN
ejpam-4353	583	12	el	el	PROPN
ejpam-4353	583	13	-	-	PUNCT
ejpam-4353	583	14	shafei	shafei	PROPN
ejpam-4353	583	15	,	,	PUNCT
ejpam-4353	583	16	and	and	CCONJ
ejpam-4353	583	17	b	b	ADP
ejpam-4353	583	18	a	a	DET
ejpam-4353	583	19	asaad	asaad	NOUN
ejpam-4353	583	20	.	.	PUNCT
ejpam-4353	584	1	sum	sum	NOUN
ejpam-4353	584	2	of	of	ADP
ejpam-4353	584	3	soft	soft	ADJ
ejpam-4353	584	4	topological	topological	ADJ
ejpam-4353	584	5	ordered	order	VERB
ejpam-4353	584	6	spaces	space	NOUN
ejpam-4353	584	7	.	.	PUNCT
ejpam-4353	585	1	advances	advance	NOUN
ejpam-4353	585	2	in	in	ADP
ejpam-4353	585	3	mathematics	mathematics	NOUN
ejpam-4353	585	4	scientific	scientific	ADJ
ejpam-4353	585	5	journal	journal	NOUN
ejpam-4353	585	6	,	,	PUNCT
ejpam-4353	585	7	9(7):4695–4710	9(7):4695–4710	NUM
ejpam-4353	585	8	,	,	PUNCT
ejpam-4353	585	9	2020	2020	NUM
ejpam-4353	585	10	.	.	PUNCT
ejpam-4353	586	1	[	[	X
ejpam-4353	586	2	7	7	X
ejpam-4353	586	3	]	]	X
ejpam-4353	586	4	t	t	PROPN
ejpam-4353	586	5	m	m	PROPN
ejpam-4353	586	6	al	al	PROPN
ejpam-4353	586	7	-	-	PUNCT
ejpam-4353	586	8	shami	shami	PROPN
ejpam-4353	586	9	,	,	PUNCT
ejpam-4353	586	10	l	l	PROPN
ejpam-4353	586	11	d	d	X
ejpam-4353	586	12	kočinac	kočinac	PROPN
ejpam-4353	586	13	,	,	PUNCT
ejpam-4353	586	14	and	and	CCONJ
ejpam-4353	586	15	b	b	ADP
ejpam-4353	586	16	a	a	DET
ejpam-4353	586	17	asaad	asaad	NOUN
ejpam-4353	586	18	.	.	PUNCT
ejpam-4353	587	1	sum	sum	NOUN
ejpam-4353	587	2	of	of	ADP
ejpam-4353	587	3	soft	soft	ADJ
ejpam-4353	587	4	topological	topological	ADJ
ejpam-4353	587	5	spaces	space	NOUN
ejpam-4353	587	6	.	.	PUNCT
ejpam-4353	588	1	mathematics	mathematic	NOUN
ejpam-4353	588	2	,	,	PUNCT
ejpam-4353	588	3	8(6):990	8(6):990	NUM
ejpam-4353	588	4	,	,	PUNCT
ejpam-4353	588	5	2020	2020	NUM
ejpam-4353	588	6	.	.	PUNCT
ejpam-4353	589	1	[	[	X
ejpam-4353	589	2	8	8	NUM
ejpam-4353	589	3	]	]	SYM
ejpam-4353	589	4	m	m	VERB
ejpam-4353	589	5	i	i	NOUN
ejpam-4353	589	6	ali	ali	PROPN
ejpam-4353	589	7	,	,	PUNCT
ejpam-4353	589	8	m	m	PROPN
ejpam-4353	589	9	k	k	PROPN
ejpam-4353	589	10	el	el	PROPN
ejpam-4353	589	11	-	-	ADJ
ejpam-4353	589	12	bably	bably	ADV
ejpam-4353	589	13	,	,	PUNCT
ejpam-4353	589	14	and	and	CCONJ
ejpam-4353	589	15	e	e	X
ejpam-4353	589	16	a	a	DET
ejpam-4353	589	17	abo	abo	NOUN
ejpam-4353	589	18	-	-	PUNCT
ejpam-4353	589	19	tabl	tabl	NOUN
ejpam-4353	589	20	.	.	PUNCT
ejpam-4353	590	1	correction	correction	NOUN
ejpam-4353	590	2	to	to	ADP
ejpam-4353	590	3	:	:	PUNCT
ejpam-4353	590	4	topological	topological	ADJ
ejpam-4353	590	5	approach	approach	NOUN
ejpam-4353	590	6	to	to	ADP
ejpam-4353	590	7	generalized	generalize	VERB
ejpam-4353	590	8	soft	soft	ADJ
ejpam-4353	590	9	rough	rough	ADJ
ejpam-4353	590	10	sets	set	NOUN
ejpam-4353	590	11	via	via	ADP
ejpam-4353	590	12	near	near	ADJ
ejpam-4353	590	13	concepts	concept	NOUN
ejpam-4353	590	14	.	.	PUNCT
ejpam-4353	591	1	soft	soft	ADJ
ejpam-4353	591	2	computing	computing	NOUN
ejpam-4353	591	3	,	,	PUNCT
ejpam-4353	591	4	26:3127	26:3127	NUM
ejpam-4353	591	5	,	,	PUNCT
ejpam-4353	591	6	2022	2022	NUM
ejpam-4353	591	7	.	.	PUNCT
ejpam-4353	592	1	[	[	X
ejpam-4353	592	2	9	9	NUM
ejpam-4353	592	3	]	]	SYM
ejpam-4353	592	4	m	m	VERB
ejpam-4353	592	5	i	i	NOUN
ejpam-4353	592	6	ali	ali	PROPN
ejpam-4353	592	7	,	,	PUNCT
ejpam-4353	592	8	f	f	PROPN
ejpam-4353	592	9	feng	feng	PROPN
ejpam-4353	592	10	,	,	PUNCT
ejpam-4353	592	11	x	x	PROPN
ejpam-4353	592	12	liu	liu	PROPN
ejpam-4353	592	13	x	x	PROPN
ejpam-4353	592	14	,	,	PUNCT
ejpam-4353	592	15	w	w	PROPN
ejpam-4353	592	16	k	k	PROPN
ejpam-4353	592	17	min	min	PROPN
ejpam-4353	592	18	,	,	PUNCT
ejpam-4353	592	19	and	and	CCONJ
ejpam-4353	592	20	m	m	PROPN
ejpam-4353	592	21	shabir	shabir	PROPN
ejpam-4353	592	22	.	.	PUNCT
ejpam-4353	593	1	on	on	ADP
ejpam-4353	593	2	some	some	DET
ejpam-4353	593	3	new	new	ADJ
ejpam-4353	593	4	operations	operation	NOUN
ejpam-4353	593	5	in	in	ADP
ejpam-4353	593	6	soft	soft	ADJ
ejpam-4353	593	7	set	set	NOUN
ejpam-4353	593	8	theory	theory	NOUN
ejpam-4353	593	9	.	.	PUNCT
ejpam-4353	594	1	computers	computer	NOUN
ejpam-4353	594	2	and	and	CCONJ
ejpam-4353	594	3	mathematics	mathematic	NOUN
ejpam-4353	594	4	with	with	ADP
ejpam-4353	594	5	applications	application	NOUN
ejpam-4353	594	6	,	,	PUNCT
ejpam-4353	594	7	57:1547–1553	57:1547–1553	NUM
ejpam-4353	594	8	,	,	PUNCT
ejpam-4353	594	9	2009	2009	NUM
ejpam-4353	594	10	.	.	PUNCT
ejpam-4353	595	1	[	[	X
ejpam-4353	595	2	10	10	NUM
ejpam-4353	595	3	]	]	X
ejpam-4353	595	4	z	z	NOUN
ejpam-4353	595	5	a	a	DET
ejpam-4353	595	6	ameen	ameen	NOUN
ejpam-4353	595	7	and	and	CCONJ
ejpam-4353	595	8	s	s	PROPN
ejpam-4353	595	9	al	al	PROPN
ejpam-4353	595	10	-	-	PUNCT
ejpam-4353	595	11	ghour	ghour	PROPN
ejpam-4353	595	12	.	.	PUNCT
ejpam-4353	596	1	minimal	minimal	ADJ
ejpam-4353	596	2	soft	soft	ADJ
ejpam-4353	596	3	topologies	topology	NOUN
ejpam-4353	596	4	.	.	PUNCT
ejpam-4353	597	1	new	new	ADJ
ejpam-4353	597	2	mathematics	mathematic	NOUN
ejpam-4353	597	3	and	and	CCONJ
ejpam-4353	597	4	natural	natural	ADJ
ejpam-4353	597	5	computation	computation	NOUN
ejpam-4353	597	6	,	,	PUNCT
ejpam-4353	597	7	accepted:1–13	accepted:1–13	NOUN
ejpam-4353	597	8	,	,	PUNCT
ejpam-4353	597	9	2022	2022	NUM
ejpam-4353	597	10	.	.	PUNCT
ejpam-4353	598	1	[	[	X
ejpam-4353	598	2	11	11	NUM
ejpam-4353	598	3	]	]	SYM
ejpam-4353	598	4	b	b	NOUN
ejpam-4353	598	5	a	a	DET
ejpam-4353	598	6	asaad	asaad	NOUN
ejpam-4353	598	7	,	,	PUNCT
ejpam-4353	598	8	t	t	PROPN
ejpam-4353	598	9	m	m	PROPN
ejpam-4353	598	10	al	al	PROPN
ejpam-4353	598	11	-	-	PUNCT
ejpam-4353	598	12	shami	shami	PROPN
ejpam-4353	598	13	,	,	PUNCT
ejpam-4353	598	14	and	and	CCONJ
ejpam-4353	598	15	a	a	DET
ejpam-4353	598	16	mhemdi	mhemdi	NOUN
ejpam-4353	598	17	.	.	PUNCT
ejpam-4353	599	1	bioperators	bioperator	NOUN
ejpam-4353	599	2	on	on	ADP
ejpam-4353	599	3	soft	soft	ADJ
ejpam-4353	599	4	topological	topological	ADJ
ejpam-4353	599	5	spaces	space	NOUN
ejpam-4353	599	6	.	.	PUNCT
ejpam-4353	600	1	aims	aim	VERB
ejpam-4353	600	2	mathematics	mathematic	NOUN
ejpam-4353	600	3	,	,	PUNCT
ejpam-4353	600	4	6(11):12471–12490	6(11):12471–12490	NUM
ejpam-4353	600	5	,	,	PUNCT
ejpam-4353	600	6	2021	2021	NUM
ejpam-4353	600	7	.	.	PUNCT
ejpam-4353	601	1	references	reference	NOUN
ejpam-4353	601	2	670	670	NUM
ejpam-4353	601	3	[	[	X
ejpam-4353	601	4	12	12	NUM
ejpam-4353	601	5	]	]	X
ejpam-4353	601	6	t	t	NOUN
ejpam-4353	601	7	aydin	aydin	NOUN
ejpam-4353	601	8	and	and	CCONJ
ejpam-4353	601	9	s	s	NOUN
ejpam-4353	601	10	enginoglu	enginoglu	NOUN
ejpam-4353	601	11	.	.	PUNCT
ejpam-4353	602	1	some	some	DET
ejpam-4353	602	2	results	result	NOUN
ejpam-4353	602	3	on	on	ADP
ejpam-4353	602	4	soft	soft	ADJ
ejpam-4353	602	5	topological	topological	ADJ
ejpam-4353	602	6	notions	notion	NOUN
ejpam-4353	602	7	.	.	PUNCT
ejpam-4353	603	1	journal	journal	NOUN
ejpam-4353	603	2	of	of	ADP
ejpam-4353	603	3	new	new	ADJ
ejpam-4353	603	4	results	result	NOUN
ejpam-4353	603	5	in	in	ADP
ejpam-4353	603	6	science	science	NOUN
ejpam-4353	603	7	,	,	PUNCT
ejpam-4353	603	8	10:65–75	10:65–75	NUM
ejpam-4353	603	9	,	,	PUNCT
ejpam-4353	603	10	2021	2021	NUM
ejpam-4353	603	11	.	.	PUNCT
ejpam-4353	604	1	[	[	X
ejpam-4353	604	2	13	13	NUM
ejpam-4353	604	3	]	]	X
ejpam-4353	604	4	k	k	PROPN
ejpam-4353	604	5	v	v	X
ejpam-4353	604	6	babitha	babitha	NOUN
ejpam-4353	604	7	and	and	CCONJ
ejpam-4353	604	8	j	j	PROPN
ejpam-4353	604	9	sunil	sunil	PROPN
ejpam-4353	604	10	.	.	PUNCT
ejpam-4353	604	11	soft	soft	ADJ
ejpam-4353	604	12	set	set	VERB
ejpam-4353	604	13	relations	relation	NOUN
ejpam-4353	604	14	and	and	CCONJ
ejpam-4353	604	15	functions	function	NOUN
ejpam-4353	604	16	.	.	PUNCT
ejpam-4353	605	1	computers	computer	NOUN
ejpam-4353	605	2	and	and	CCONJ
ejpam-4353	605	3	mathematics	mathematic	NOUN
ejpam-4353	605	4	with	with	ADP
ejpam-4353	605	5	applications	application	NOUN
ejpam-4353	605	6	,	,	PUNCT
ejpam-4353	605	7	60(7):1840–1849	60(7):1840–1849	NUM
ejpam-4353	605	8	,	,	PUNCT
ejpam-4353	605	9	2010	2010	NUM
ejpam-4353	605	10	.	.	PUNCT
ejpam-4353	606	1	[	[	X
ejpam-4353	606	2	14	14	NUM
ejpam-4353	606	3	]	]	PUNCT
ejpam-4353	606	4	n	n	PRON
ejpam-4353	606	5	çaǧman	çaǧman	PROPN
ejpam-4353	606	6	and	and	CCONJ
ejpam-4353	606	7	s	s	VERB
ejpam-4353	606	8	enginogl	enginogl	ADJ
ejpam-4353	606	9	.	.	PUNCT
ejpam-4353	606	10	soft	soft	ADJ
ejpam-4353	606	11	set	set	NOUN
ejpam-4353	606	12	theory	theory	NOUN
ejpam-4353	606	13	and	and	CCONJ
ejpam-4353	606	14	uni	uni	ADJ
ejpam-4353	606	15	-	-	ADJ
ejpam-4353	606	16	int	int	NOUN
ejpam-4353	606	17	decision	decision	NOUN
ejpam-4353	606	18	making	making	NOUN
ejpam-4353	606	19	.	.	PUNCT
ejpam-4353	607	1	european	european	ADJ
ejpam-4353	607	2	journal	journal	PROPN
ejpam-4353	607	3	of	of	ADP
ejpam-4353	607	4	operational	operational	ADJ
ejpam-4353	607	5	research	research	NOUN
ejpam-4353	607	6	,	,	PUNCT
ejpam-4353	607	7	207:848–855	207:848–855	NUM
ejpam-4353	607	8	,	,	PUNCT
ejpam-4353	607	9	2010	2010	NUM
ejpam-4353	607	10	.	.	PUNCT
ejpam-4353	608	1	[	[	X
ejpam-4353	608	2	15	15	NUM
ejpam-4353	608	3	]	]	X
ejpam-4353	608	4	n	n	PRON
ejpam-4353	608	5	çaǧman	çaǧman	PROPN
ejpam-4353	608	6	,	,	PUNCT
ejpam-4353	608	7	s	s	VERB
ejpam-4353	608	8	karataş	karataş	PROPN
ejpam-4353	608	9	,	,	PUNCT
ejpam-4353	608	10	and	and	CCONJ
ejpam-4353	608	11	s	s	PROPN
ejpam-4353	608	12	enginoğl	enginoğl	PROPN
ejpam-4353	608	13	.	.	PUNCT
ejpam-4353	608	14	soft	soft	ADJ
ejpam-4353	608	15	topology	topology	NOUN
ejpam-4353	608	16	.	.	PUNCT
ejpam-4353	609	1	computers	computer	NOUN
ejpam-4353	609	2	and	and	CCONJ
ejpam-4353	609	3	mathematics	mathematic	NOUN
ejpam-4353	609	4	with	with	ADP
ejpam-4353	609	5	applications	application	NOUN
ejpam-4353	609	6	,	,	PUNCT
ejpam-4353	609	7	62(1):351–358	62(1):351–358	PROPN
ejpam-4353	609	8	,	,	PUNCT
ejpam-4353	609	9	2011	2011	NUM
ejpam-4353	609	10	.	.	PUNCT
ejpam-4353	610	1	[	[	X
ejpam-4353	610	2	16	16	NUM
ejpam-4353	610	3	]	]	PUNCT
ejpam-4353	610	4	a	a	DET
ejpam-4353	610	5	császár	császár	NOUN
ejpam-4353	610	6	.	.	PUNCT
ejpam-4353	611	1	generalized	generalize	VERB
ejpam-4353	611	2	topology	topology	NOUN
ejpam-4353	611	3	,	,	PUNCT
ejpam-4353	611	4	generalized	generalize	VERB
ejpam-4353	611	5	continuity	continuity	NOUN
ejpam-4353	611	6	.	.	PUNCT
ejpam-4353	612	1	acta	acta	PROPN
ejpam-4353	612	2	mathematica	mathematica	PROPN
ejpam-4353	612	3	hungarica	hungarica	PROPN
ejpam-4353	612	4	,	,	PUNCT
ejpam-4353	612	5	2002:351–375	2002:351–375	NOUN
ejpam-4353	612	6	,	,	PUNCT
ejpam-4353	612	7	2002	2002	NUM
ejpam-4353	612	8	.	.	PUNCT
ejpam-4353	613	1	[	[	X
ejpam-4353	613	2	17	17	NUM
ejpam-4353	613	3	]	]	PUNCT
ejpam-4353	613	4	a	a	DET
ejpam-4353	613	5	császár	császár	NOUN
ejpam-4353	613	6	.	.	PUNCT
ejpam-4353	614	1	mixed	mixed	ADJ
ejpam-4353	614	2	constructions	construction	NOUN
ejpam-4353	614	3	for	for	ADP
ejpam-4353	614	4	generalized	generalized	ADJ
ejpam-4353	614	5	topologies	topology	NOUN
ejpam-4353	614	6	.	.	PUNCT
ejpam-4353	615	1	acta	acta	PROPN
ejpam-4353	615	2	mathematica	mathematica	PROPN
ejpam-4353	615	3	hungarica	hungarica	PROPN
ejpam-4353	615	4	,	,	PUNCT
ejpam-4353	615	5	122(1	122(1	NUM
ejpam-4353	615	6	-	-	SYM
ejpam-4353	615	7	2):153–159	2):153–159	NUM
ejpam-4353	615	8	,	,	PUNCT
ejpam-4353	615	9	2009	2009	NUM
ejpam-4353	615	10	.	.	PUNCT
ejpam-4353	616	1	[	[	X
ejpam-4353	616	2	18	18	NUM
ejpam-4353	616	3	]	]	X
ejpam-4353	616	4	d	d	PROPN
ejpam-4353	616	5	dubois	dubois	PROPN
ejpam-4353	616	6	and	and	CCONJ
ejpam-4353	616	7	h	h	PROPN
ejpam-4353	616	8	prade	prade	NOUN
ejpam-4353	616	9	.	.	PUNCT
ejpam-4353	617	1	an	an	DET
ejpam-4353	617	2	introduction	introduction	NOUN
ejpam-4353	617	3	to	to	ADP
ejpam-4353	617	4	bipolar	bipolar	ADJ
ejpam-4353	617	5	representations	representation	NOUN
ejpam-4353	617	6	of	of	ADP
ejpam-4353	617	7	information	information	NOUN
ejpam-4353	617	8	and	and	CCONJ
ejpam-4353	617	9	preference	preference	NOUN
ejpam-4353	617	10	.	.	PUNCT
ejpam-4353	618	1	international	international	ADJ
ejpam-4353	618	2	journal	journal	NOUN
ejpam-4353	618	3	of	of	ADP
ejpam-4353	618	4	intelligent	intelligent	ADJ
ejpam-4353	618	5	systems	system	NOUN
ejpam-4353	618	6	,	,	PUNCT
ejpam-4353	618	7	23(8):866–877	23(8):866–877	PROPN
ejpam-4353	618	8	,	,	PUNCT
ejpam-4353	618	9	2008	2008	NUM
ejpam-4353	618	10	.	.	PUNCT
ejpam-4353	619	1	[	[	X
ejpam-4353	619	2	19	19	NUM
ejpam-4353	619	3	]	]	X
ejpam-4353	619	4	m	m	PROPN
ejpam-4353	619	5	k	k	PROPN
ejpam-4353	619	6	el	el	PROPN
ejpam-4353	619	7	-	-	ADJ
ejpam-4353	619	8	bably	bably	PROPN
ejpam-4353	619	9	,	,	PUNCT
ejpam-4353	619	10	m	m	VERB
ejpam-4353	619	11	i	i	NOUN
ejpam-4353	619	12	ali	ali	VERB
ejpam-4353	619	13	,	,	PUNCT
ejpam-4353	619	14	and	and	CCONJ
ejpam-4353	619	15	e	e	X
ejpam-4353	619	16	a	a	DET
ejpam-4353	619	17	abo	abo	NOUN
ejpam-4353	619	18	-	-	PUNCT
ejpam-4353	619	19	tabl	tabl	NOUN
ejpam-4353	619	20	.	.	PUNCT
ejpam-4353	620	1	new	new	ADJ
ejpam-4353	620	2	topological	topological	ADJ
ejpam-4353	620	3	approaches	approach	NOUN
ejpam-4353	620	4	to	to	ADP
ejpam-4353	620	5	generalized	generalize	VERB
ejpam-4353	620	6	soft	soft	ADJ
ejpam-4353	620	7	rough	rough	ADJ
ejpam-4353	620	8	approximations	approximation	NOUN
ejpam-4353	620	9	with	with	ADP
ejpam-4353	620	10	medical	medical	ADJ
ejpam-4353	620	11	applications	application	NOUN
ejpam-4353	620	12	.	.	PUNCT
ejpam-4353	621	1	journal	journal	NOUN
ejpam-4353	621	2	of	of	ADP
ejpam-4353	621	3	mathematics	mathematic	NOUN
ejpam-4353	621	4	,	,	PUNCT
ejpam-4353	621	5	2021	2021	NUM
ejpam-4353	621	6	:	:	PUNCT
ejpam-4353	621	7	article	article	NOUN
ejpam-4353	621	8	i	i	PROPN
ejpam-4353	621	9	d	d	PROPN
ejpam-4353	621	10	2559495	2559495	NUM
ejpam-4353	621	11	,	,	PUNCT
ejpam-4353	621	12	2021	2021	NUM
ejpam-4353	621	13	.	.	PUNCT
ejpam-4353	622	1	[	[	X
ejpam-4353	622	2	20	20	NUM
ejpam-4353	622	3	]	]	PUNCT
ejpam-4353	622	4	a	a	DET
ejpam-4353	622	5	fadel	fadel	PROPN
ejpam-4353	622	6	and	and	CCONJ
ejpam-4353	622	7	s	s	PROPN
ejpam-4353	622	8	c	c	NOUN
ejpam-4353	622	9	dzul	dzul	PROPN
ejpam-4353	622	10	-	-	PUNCT
ejpam-4353	622	11	kifli	kifli	NOUN
ejpam-4353	622	12	.	.	PUNCT
ejpam-4353	623	1	bipolar	bipolar	ADJ
ejpam-4353	623	2	soft	soft	ADJ
ejpam-4353	623	3	topological	topological	ADJ
ejpam-4353	623	4	spaces	space	NOUN
ejpam-4353	623	5	.	.	PUNCT
ejpam-4353	624	1	european	european	ADJ
ejpam-4353	624	2	journal	journal	PROPN
ejpam-4353	624	3	of	of	ADP
ejpam-4353	624	4	pure	pure	ADJ
ejpam-4353	624	5	and	and	CCONJ
ejpam-4353	624	6	applied	applied	ADJ
ejpam-4353	624	7	mathematics	mathematic	NOUN
ejpam-4353	624	8	,	,	PUNCT
ejpam-4353	624	9	13(2):227–245	13(2):227–245	NUM
ejpam-4353	624	10	,	,	PUNCT
ejpam-4353	624	11	2020	2020	NUM
ejpam-4353	624	12	.	.	PUNCT
ejpam-4353	625	1	[	[	X
ejpam-4353	625	2	21	21	NUM
ejpam-4353	625	3	]	]	PUNCT
ejpam-4353	625	4	a	a	DET
ejpam-4353	625	5	fadel	fadel	PROPN
ejpam-4353	625	6	and	and	CCONJ
ejpam-4353	625	7	s	s	PROPN
ejpam-4353	625	8	c	c	NOUN
ejpam-4353	625	9	dzul	dzul	PROPN
ejpam-4353	625	10	-	-	PUNCT
ejpam-4353	625	11	kifli	kifli	NOUN
ejpam-4353	625	12	.	.	PUNCT
ejpam-4353	626	1	bipolar	bipolar	ADJ
ejpam-4353	626	2	soft	soft	ADJ
ejpam-4353	626	3	functions	function	NOUN
ejpam-4353	626	4	.	.	PUNCT
ejpam-4353	627	1	aims	aim	VERB
ejpam-4353	627	2	mathematics	mathematic	NOUN
ejpam-4353	627	3	,	,	PUNCT
ejpam-4353	627	4	6(5):4428	6(5):4428	NUM
ejpam-4353	627	5	–	–	PUNCT
ejpam-4353	627	6	4446	4446	NUM
ejpam-4353	627	7	,	,	PUNCT
ejpam-4353	627	8	2021	2021	NUM
ejpam-4353	627	9	.	.	PUNCT
ejpam-4353	628	1	[	[	X
ejpam-4353	628	2	22	22	NUM
ejpam-4353	628	3	]	]	X
ejpam-4353	628	4	f	f	PROPN
ejpam-4353	628	5	karaaslan	karaaslan	PROPN
ejpam-4353	628	6	and	and	CCONJ
ejpam-4353	628	7	s	s	AUX
ejpam-4353	628	8	karataş.	karataş.	PROPN
ejpam-4353	628	9	a	a	DET
ejpam-4353	628	10	new	new	ADJ
ejpam-4353	628	11	approach	approach	NOUN
ejpam-4353	628	12	to	to	ADP
ejpam-4353	628	13	bipolar	bipolar	ADJ
ejpam-4353	628	14	soft	soft	ADJ
ejpam-4353	628	15	sets	set	NOUN
ejpam-4353	628	16	and	and	CCONJ
ejpam-4353	628	17	its	its	PRON
ejpam-4353	628	18	applications	application	NOUN
ejpam-4353	628	19	.	.	PUNCT
ejpam-4353	629	1	discrete	discrete	ADJ
ejpam-4353	629	2	mathematics	mathematic	NOUN
ejpam-4353	629	3	,	,	PUNCT
ejpam-4353	629	4	algorithms	algorithm	NOUN
ejpam-4353	629	5	and	and	CCONJ
ejpam-4353	629	6	applications	application	NOUN
ejpam-4353	629	7	,	,	PUNCT
ejpam-4353	629	8	7(04):1550054	7(04):1550054	NUM
ejpam-4353	629	9	,	,	PUNCT
ejpam-4353	629	10	2015	2015	NUM
ejpam-4353	629	11	.	.	PUNCT
ejpam-4353	630	1	[	[	X
ejpam-4353	630	2	23	23	NUM
ejpam-4353	630	3	]	]	PUNCT
ejpam-4353	630	4	t	t	PROPN
ejpam-4353	630	5	mahmood	mahmood	PROPN
ejpam-4353	630	6	.	.	PUNCT
ejpam-4353	631	1	a	a	DET
ejpam-4353	631	2	novel	novel	ADJ
ejpam-4353	631	3	approach	approach	NOUN
ejpam-4353	631	4	towards	towards	ADP
ejpam-4353	631	5	bipolar	bipolar	ADJ
ejpam-4353	631	6	soft	soft	ADJ
ejpam-4353	631	7	sets	set	NOUN
ejpam-4353	631	8	and	and	CCONJ
ejpam-4353	631	9	their	their	PRON
ejpam-4353	631	10	applications	application	NOUN
ejpam-4353	631	11	.	.	PUNCT
ejpam-4353	632	1	journal	journal	NOUN
ejpam-4353	632	2	of	of	ADP
ejpam-4353	632	3	mathematics	mathematic	NOUN
ejpam-4353	632	4	,	,	PUNCT
ejpam-4353	632	5	2020	2020	NUM
ejpam-4353	632	6	:	:	PUNCT
ejpam-4353	633	1	artical	artical	PROPN
ejpam-4353	633	2	i	i	PROPN
ejpam-4353	633	3	d	d	PROPN
ejpam-4353	633	4	4690808	4690808	NUM
ejpam-4353	633	5	,	,	PUNCT
ejpam-4353	633	6	2020	2020	NUM
ejpam-4353	633	7	.	.	PUNCT
ejpam-4353	634	1	[	[	X
ejpam-4353	634	2	24	24	NUM
ejpam-4353	634	3	]	]	X
ejpam-4353	634	4	p	p	X
ejpam-4353	634	5	k	k	PROPN
ejpam-4353	634	6	maji	maji	PROPN
ejpam-4353	634	7	,	,	PUNCT
ejpam-4353	634	8	r	r	NOUN
ejpam-4353	634	9	biswas	biswas	PROPN
ejpam-4353	634	10	,	,	PUNCT
ejpam-4353	634	11	and	and	CCONJ
ejpam-4353	634	12	a	a	DET
ejpam-4353	634	13	r	r	NOUN
ejpam-4353	634	14	roy	roy	PROPN
ejpam-4353	634	15	.	.	PROPN
ejpam-4353	634	16	soft	soft	ADJ
ejpam-4353	634	17	set	set	NOUN
ejpam-4353	634	18	theory	theory	NOUN
ejpam-4353	634	19	.	.	PUNCT
ejpam-4353	635	1	computers	computer	NOUN
ejpam-4353	635	2	and	and	CCONJ
ejpam-4353	635	3	mathematics	mathematic	NOUN
ejpam-4353	635	4	with	with	ADP
ejpam-4353	635	5	applications	application	NOUN
ejpam-4353	635	6	,	,	PUNCT
ejpam-4353	635	7	45:555–562	45:555–562	PROPN
ejpam-4353	635	8	,	,	PUNCT
ejpam-4353	635	9	2003	2003	NUM
ejpam-4353	635	10	.	.	PUNCT
ejpam-4353	636	1	[	[	X
ejpam-4353	636	2	25	25	NUM
ejpam-4353	636	3	]	]	PUNCT
ejpam-4353	636	4	m	m	VERB
ejpam-4353	636	5	matejdes	matejde	NOUN
ejpam-4353	636	6	.	.	PUNCT
ejpam-4353	637	1	methodological	methodological	ADJ
ejpam-4353	637	2	remarks	remark	NOUN
ejpam-4353	637	3	on	on	ADP
ejpam-4353	637	4	soft	soft	ADJ
ejpam-4353	637	5	topology	topology	NOUN
ejpam-4353	637	6	.	.	PUNCT
ejpam-4353	638	1	soft	soft	ADJ
ejpam-4353	638	2	computing	computing	NOUN
ejpam-4353	638	3	,	,	PUNCT
ejpam-4353	638	4	25(5):4149	25(5):4149	NUM
ejpam-4353	638	5	–	–	PUNCT
ejpam-4353	638	6	4156	4156	NUM
ejpam-4353	638	7	,	,	PUNCT
ejpam-4353	638	8	2021	2021	NUM
ejpam-4353	638	9	.	.	PUNCT
ejpam-4353	639	1	[	[	X
ejpam-4353	639	2	26	26	NUM
ejpam-4353	639	3	]	]	X
ejpam-4353	639	4	w	w	PROPN
ejpam-4353	639	5	k	k	PROPN
ejpam-4353	639	6	min	min	PROPN
ejpam-4353	639	7	.	.	PROPN
ejpam-4353	639	8	a	a	DET
ejpam-4353	639	9	note	note	NOUN
ejpam-4353	639	10	on	on	ADP
ejpam-4353	639	11	soft	soft	ADJ
ejpam-4353	639	12	topological	topological	ADJ
ejpam-4353	639	13	spaces	space	NOUN
ejpam-4353	639	14	.	.	PUNCT
ejpam-4353	640	1	computers	computer	NOUN
ejpam-4353	640	2	and	and	CCONJ
ejpam-4353	640	3	mathematics	mathematic	NOUN
ejpam-4353	640	4	with	with	ADP
ejpam-4353	640	5	applications	application	NOUN
ejpam-4353	640	6	,	,	PUNCT
ejpam-4353	640	7	62(9):3524–3528	62(9):3524–3528	NUM
ejpam-4353	640	8	,	,	PUNCT
ejpam-4353	640	9	2011	2011	NUM
ejpam-4353	640	10	.	.	PUNCT
ejpam-4353	641	1	[	[	X
ejpam-4353	641	2	27	27	NUM
ejpam-4353	641	3	]	]	X
ejpam-4353	641	4	d	d	X
ejpam-4353	641	5	molodtsov	molodtsov	PROPN
ejpam-4353	641	6	.	.	PUNCT
ejpam-4353	642	1	soft	soft	ADJ
ejpam-4353	642	2	set	set	NOUN
ejpam-4353	642	3	theory	theory	NOUN
ejpam-4353	642	4	—	—	PUNCT
ejpam-4353	642	5	first	first	ADJ
ejpam-4353	642	6	results	result	NOUN
ejpam-4353	642	7	.	.	PUNCT
ejpam-4353	643	1	computers	computer	NOUN
ejpam-4353	643	2	and	and	CCONJ
ejpam-4353	643	3	mathematics	mathematic	NOUN
ejpam-4353	643	4	with	with	ADP
ejpam-4353	643	5	applications	application	NOUN
ejpam-4353	643	6	,	,	PUNCT
ejpam-4353	643	7	37(4):19–31	37(4):19–31	NUM
ejpam-4353	643	8	,	,	PUNCT
ejpam-4353	643	9	1999	1999	NUM
ejpam-4353	643	10	.	.	PUNCT
ejpam-4353	644	1	references	reference	NOUN
ejpam-4353	644	2	671	671	NUM
ejpam-4353	645	1	[	[	X
ejpam-4353	645	2	28	28	NUM
ejpam-4353	645	3	]	]	X
ejpam-4353	645	4	s	s	PROPN
ejpam-4353	645	5	y	y	PROPN
ejpam-4353	645	6	musa	musa	PROPN
ejpam-4353	645	7	and	and	CCONJ
ejpam-4353	645	8	b	b	PROPN
ejpam-4353	645	9	a	a	DET
ejpam-4353	645	10	asaad	asaad	NOUN
ejpam-4353	645	11	.	.	PUNCT
ejpam-4353	646	1	bipolar	bipolar	ADJ
ejpam-4353	646	2	hypersoft	hypersoft	NOUN
ejpam-4353	646	3	sets	set	NOUN
ejpam-4353	646	4	.	.	PUNCT
ejpam-4353	647	1	mathematics	mathematic	NOUN
ejpam-4353	647	2	,	,	PUNCT
ejpam-4353	647	3	9(15):1826	9(15):1826	NUM
ejpam-4353	647	4	,	,	PUNCT
ejpam-4353	647	5	2021	2021	NUM
ejpam-4353	647	6	.	.	PUNCT
ejpam-4353	648	1	[	[	X
ejpam-4353	648	2	29	29	NUM
ejpam-4353	648	3	]	]	SYM
ejpam-4353	648	4	s	s	PROPN
ejpam-4353	648	5	y	y	PROPN
ejpam-4353	648	6	musa	musa	PROPN
ejpam-4353	648	7	and	and	CCONJ
ejpam-4353	648	8	b	b	PROPN
ejpam-4353	648	9	a	a	DET
ejpam-4353	648	10	asaad	asaad	NOUN
ejpam-4353	648	11	.	.	PUNCT
ejpam-4353	649	1	connectedness	connectedness	NOUN
ejpam-4353	649	2	on	on	ADP
ejpam-4353	649	3	bipolar	bipolar	ADJ
ejpam-4353	649	4	hypersoft	hypersoft	ADJ
ejpam-4353	649	5	topological	topological	ADJ
ejpam-4353	649	6	spaces	space	NOUN
ejpam-4353	649	7	.	.	PUNCT
ejpam-4353	650	1	journal	journal	NOUN
ejpam-4353	650	2	of	of	ADP
ejpam-4353	650	3	intelligent	intelligent	ADJ
ejpam-4353	650	4	and	and	CCONJ
ejpam-4353	650	5	fuzzy	fuzzy	ADJ
ejpam-4353	650	6	systems	system	NOUN
ejpam-4353	650	7	,	,	PUNCT
ejpam-4353	650	8	page	page	NOUN
ejpam-4353	650	9	accepted	accept	VERB
ejpam-4353	650	10	,	,	PUNCT
ejpam-4353	650	11	2021	2021	NUM
ejpam-4353	650	12	.	.	PUNCT
ejpam-4353	651	1	[	[	X
ejpam-4353	651	2	30	30	NUM
ejpam-4353	651	3	]	]	SYM
ejpam-4353	651	4	s	s	PROPN
ejpam-4353	651	5	y	y	PROPN
ejpam-4353	651	6	musa	musa	PROPN
ejpam-4353	651	7	and	and	CCONJ
ejpam-4353	651	8	b	b	PROPN
ejpam-4353	651	9	a	a	DET
ejpam-4353	651	10	asaad	asaad	NOUN
ejpam-4353	651	11	.	.	PUNCT
ejpam-4353	652	1	topological	topological	ADJ
ejpam-4353	652	2	structures	structure	NOUN
ejpam-4353	652	3	via	via	ADP
ejpam-4353	652	4	bipolar	bipolar	ADJ
ejpam-4353	652	5	hypersoft	hypersoft	NOUN
ejpam-4353	652	6	sets	set	NOUN
ejpam-4353	652	7	.	.	PUNCT
ejpam-4353	653	1	journal	journal	NOUN
ejpam-4353	653	2	of	of	ADP
ejpam-4353	653	3	mathematics	mathematic	NOUN
ejpam-4353	653	4	,	,	PUNCT
ejpam-4353	653	5	2022	2022	NUM
ejpam-4353	653	6	:	:	PUNCT
ejpam-4353	653	7	article	article	NOUN
ejpam-4353	653	8	i	i	PROPN
ejpam-4353	653	9	d	d	PROPN
ejpam-4353	653	10	2896053	2896053	NUM
ejpam-4353	653	11	,	,	PUNCT
ejpam-4353	653	12	2022	2022	NUM
ejpam-4353	653	13	.	.	PUNCT
ejpam-4353	654	1	[	[	X
ejpam-4353	654	2	31	31	NUM
ejpam-4353	654	3	]	]	PUNCT
ejpam-4353	654	4	t	t	PROPN
ejpam-4353	654	5	y	y	PROPN
ejpam-4353	654	6	öztürk	öztürk	PROPN
ejpam-4353	654	7	.	.	PUNCT
ejpam-4353	655	1	on	on	ADP
ejpam-4353	655	2	bipolar	bipolar	ADJ
ejpam-4353	655	3	soft	soft	ADJ
ejpam-4353	655	4	topological	topological	ADJ
ejpam-4353	655	5	spaces	space	NOUN
ejpam-4353	655	6	.	.	PUNCT
ejpam-4353	656	1	journal	journal	NOUN
ejpam-4353	656	2	of	of	ADP
ejpam-4353	656	3	new	new	ADJ
ejpam-4353	656	4	theory	theory	NOUN
ejpam-4353	656	5	,	,	PUNCT
ejpam-4353	656	6	20:64–75	20:64–75	NUM
ejpam-4353	656	7	,	,	PUNCT
ejpam-4353	656	8	2018	2018	NUM
ejpam-4353	656	9	.	.	PUNCT
ejpam-4353	657	1	[	[	X
ejpam-4353	657	2	32	32	NUM
ejpam-4353	657	3	]	]	X
ejpam-4353	657	4	d	d	X
ejpam-4353	657	5	pei	pei	PROPN
ejpam-4353	657	6	and	and	CCONJ
ejpam-4353	657	7	d	d	PROPN
ejpam-4353	657	8	miao	miao	PROPN
ejpam-4353	657	9	.	.	PROPN
ejpam-4353	658	1	from	from	ADP
ejpam-4353	658	2	soft	soft	ADJ
ejpam-4353	658	3	sets	set	NOUN
ejpam-4353	658	4	to	to	ADP
ejpam-4353	658	5	information	information	NOUN
ejpam-4353	658	6	systems	system	NOUN
ejpam-4353	658	7	.	.	PUNCT
ejpam-4353	659	1	ieee	ieee	PROPN
ejpam-4353	659	2	international	international	PROPN
ejpam-4353	659	3	conference	conference	NOUN
ejpam-4353	659	4	on	on	ADP
ejpam-4353	659	5	granular	granular	ADJ
ejpam-4353	659	6	computing	computing	NOUN
ejpam-4353	659	7	,	,	PUNCT
ejpam-4353	659	8	2:617–621	2:617–621	NUM
ejpam-4353	659	9	,	,	PUNCT
ejpam-4353	659	10	2005	2005	NUM
ejpam-4353	659	11	.	.	PUNCT
ejpam-4353	660	1	[	[	X
ejpam-4353	660	2	33	33	NUM
ejpam-4353	660	3	]	]	SYM
ejpam-4353	660	4	n	n	CCONJ
ejpam-4353	660	5	ç	ç	X
ejpam-4353	660	6	polat	polat	NOUN
ejpam-4353	660	7	,	,	PUNCT
ejpam-4353	660	8	g	g	PROPN
ejpam-4353	660	9	yaylalı	yaylalı	NOUN
ejpam-4353	660	10	,	,	PUNCT
ejpam-4353	660	11	and	and	CCONJ
ejpam-4353	660	12	b	b	X
ejpam-4353	660	13	tanay	tanay	NOUN
ejpam-4353	660	14	.	.	PUNCT
ejpam-4353	661	1	some	some	DET
ejpam-4353	661	2	results	result	NOUN
ejpam-4353	661	3	on	on	ADP
ejpam-4353	661	4	soft	soft	ADJ
ejpam-4353	661	5	element	element	NOUN
ejpam-4353	661	6	and	and	CCONJ
ejpam-4353	661	7	soft	soft	ADJ
ejpam-4353	661	8	topological	topological	ADJ
ejpam-4353	661	9	space	space	NOUN
ejpam-4353	661	10	.	.	PUNCT
ejpam-4353	662	1	mathematical	mathematical	ADJ
ejpam-4353	662	2	methods	method	NOUN
ejpam-4353	662	3	in	in	ADP
ejpam-4353	662	4	the	the	DET
ejpam-4353	662	5	applied	apply	VERB
ejpam-4353	662	6	sciences	science	NOUN
ejpam-4353	662	7	,	,	PUNCT
ejpam-4353	662	8	42(16):5607–5614	42(16):5607–5614	NUM
ejpam-4353	662	9	,	,	PUNCT
ejpam-4353	662	10	2019	2019	NUM
ejpam-4353	662	11	.	.	PUNCT
ejpam-4353	663	1	[	[	X
ejpam-4353	663	2	34	34	NUM
ejpam-4353	663	3	]	]	X
ejpam-4353	663	4	m	m	PROPN
ejpam-4353	663	5	saeed	saeed	PROPN
ejpam-4353	663	6	,	,	PUNCT
ejpam-4353	663	7	m	m	PROPN
ejpam-4353	663	8	hussain	hussain	NOUN
ejpam-4353	663	9	,	,	PUNCT
ejpam-4353	663	10	and	and	CCONJ
ejpam-4353	663	11	a	a	DET
ejpam-4353	663	12	amughal	amughal	NOUN
ejpam-4353	663	13	.	.	PUNCT
ejpam-4353	664	1	a	a	DET
ejpam-4353	664	2	study	study	NOUN
ejpam-4353	664	3	of	of	ADP
ejpam-4353	664	4	soft	soft	ADJ
ejpam-4353	664	5	sets	set	NOUN
ejpam-4353	664	6	with	with	ADP
ejpam-4353	664	7	soft	soft	ADJ
ejpam-4353	664	8	members	member	NOUN
ejpam-4353	664	9	and	and	CCONJ
ejpam-4353	664	10	soft	soft	ADJ
ejpam-4353	664	11	elements	element	NOUN
ejpam-4353	664	12	:	:	PUNCT
ejpam-4353	664	13	a	a	DET
ejpam-4353	664	14	new	new	ADJ
ejpam-4353	664	15	approach	approach	NOUN
ejpam-4353	664	16	.	.	PUNCT
ejpam-4353	665	1	punjab	punjab	PROPN
ejpam-4353	665	2	university	university	PROPN
ejpam-4353	665	3	journal	journal	NOUN
ejpam-4353	665	4	of	of	ADP
ejpam-4353	665	5	mathematics	mathematic	NOUN
ejpam-4353	665	6	,	,	PUNCT
ejpam-4353	665	7	52(8):1–15	52(8):1–15	NUM
ejpam-4353	665	8	,	,	PUNCT
ejpam-4353	665	9	2020	2020	NUM
ejpam-4353	665	10	.	.	PUNCT
ejpam-4353	666	1	[	[	X
ejpam-4353	666	2	35	35	NUM
ejpam-4353	666	3	]	]	X
ejpam-4353	666	4	a	a	DET
ejpam-4353	666	5	sezgin	sezgin	NOUN
ejpam-4353	666	6	and	and	CCONJ
ejpam-4353	666	7	a	a	DET
ejpam-4353	666	8	o	o	NOUN
ejpam-4353	666	9	atagün	atagün	NOUN
ejpam-4353	666	10	.	.	PUNCT
ejpam-4353	667	1	on	on	ADP
ejpam-4353	667	2	operations	operation	NOUN
ejpam-4353	667	3	of	of	ADP
ejpam-4353	667	4	soft	soft	ADJ
ejpam-4353	667	5	sets	set	NOUN
ejpam-4353	667	6	.	.	PUNCT
ejpam-4353	668	1	computers	computer	NOUN
ejpam-4353	668	2	and	and	CCONJ
ejpam-4353	668	3	mathematics	mathematic	NOUN
ejpam-4353	668	4	with	with	ADP
ejpam-4353	668	5	applications	application	NOUN
ejpam-4353	668	6	,	,	PUNCT
ejpam-4353	668	7	61(5):1457–1467	61(5):1457–1467	NUM
ejpam-4353	668	8	,	,	PUNCT
ejpam-4353	668	9	2011	2011	NUM
ejpam-4353	668	10	.	.	PUNCT
ejpam-4353	669	1	[	[	X
ejpam-4353	669	2	36	36	NUM
ejpam-4353	669	3	]	]	X
ejpam-4353	669	4	m	m	VERB
ejpam-4353	669	5	shabir	shabir	NOUN
ejpam-4353	669	6	and	and	CCONJ
ejpam-4353	669	7	a	a	DET
ejpam-4353	669	8	bakhtawar	bakhtawar	NOUN
ejpam-4353	669	9	.	.	PUNCT
ejpam-4353	670	1	bipolar	bipolar	ADJ
ejpam-4353	670	2	soft	soft	ADJ
ejpam-4353	670	3	connected	connect	VERB
ejpam-4353	670	4	,	,	PUNCT
ejpam-4353	670	5	bipolar	bipolar	ADJ
ejpam-4353	670	6	soft	soft	ADJ
ejpam-4353	670	7	disconnected	disconnected	ADJ
ejpam-4353	670	8	and	and	CCONJ
ejpam-4353	670	9	bipolar	bipolar	ADJ
ejpam-4353	670	10	soft	soft	ADJ
ejpam-4353	670	11	compact	compact	ADJ
ejpam-4353	670	12	spaces	space	NOUN
ejpam-4353	670	13	.	.	PUNCT
ejpam-4353	671	1	songklanakarin	songklanakarin	PROPN
ejpam-4353	671	2	journal	journal	PROPN
ejpam-4353	671	3	of	of	ADP
ejpam-4353	671	4	science	science	NOUN
ejpam-4353	671	5	and	and	CCONJ
ejpam-4353	671	6	technology	technology	NOUN
ejpam-4353	671	7	,	,	PUNCT
ejpam-4353	671	8	39(3):359–371	39(3):359–371	PROPN
ejpam-4353	671	9	,	,	PUNCT
ejpam-4353	671	10	2017	2017	NUM
ejpam-4353	671	11	.	.	PUNCT
ejpam-4353	672	1	[	[	X
ejpam-4353	672	2	37	37	NUM
ejpam-4353	672	3	]	]	X
ejpam-4353	672	4	m	m	VERB
ejpam-4353	672	5	shabir	shabir	NOUN
ejpam-4353	672	6	and	and	CCONJ
ejpam-4353	672	7	m	m	PROPN
ejpam-4353	672	8	naz	naz	PROPN
ejpam-4353	672	9	.	.	PUNCT
ejpam-4353	673	1	on	on	ADP
ejpam-4353	673	2	soft	soft	ADJ
ejpam-4353	673	3	topological	topological	ADJ
ejpam-4353	673	4	spaces	space	NOUN
ejpam-4353	673	5	.	.	PUNCT
ejpam-4353	674	1	computers	computer	NOUN
ejpam-4353	674	2	and	and	CCONJ
ejpam-4353	674	3	mathematics	mathematic	NOUN
ejpam-4353	674	4	with	with	ADP
ejpam-4353	674	5	applications	application	NOUN
ejpam-4353	674	6	,	,	PUNCT
ejpam-4353	674	7	61(7):1786–1799	61(7):1786–1799	NUM
ejpam-4353	674	8	,	,	PUNCT
ejpam-4353	674	9	2011	2011	NUM
ejpam-4353	674	10	.	.	PUNCT
ejpam-4353	675	1	[	[	X
ejpam-4353	675	2	38	38	NUM
ejpam-4353	675	3	]	]	PUNCT
ejpam-4353	676	1	m	m	VERB
ejpam-4353	676	2	shabir	shabir	NOUN
ejpam-4353	676	3	and	and	CCONJ
ejpam-4353	676	4	m	m	PROPN
ejpam-4353	676	5	naz	naz	PROPN
ejpam-4353	676	6	.	.	PUNCT
ejpam-4353	677	1	on	on	ADP
ejpam-4353	677	2	bipolar	bipolar	ADJ
ejpam-4353	677	3	soft	soft	ADJ
ejpam-4353	677	4	sets	set	NOUN
ejpam-4353	677	5	.	.	PUNCT
ejpam-4353	678	1	arxiv	arxiv	PROPN
ejpam-4353	678	2	preprint	preprint	PROPN
ejpam-4353	678	3	,	,	PUNCT
ejpam-4353	678	4	page	page	NOUN
ejpam-4353	678	5	https://arxiv.org/abs/1303.1344	https://arxiv.org/abs/1303.1344	NOUN
ejpam-4353	678	6	,	,	PUNCT
ejpam-4353	678	7	2013	2013	NUM
ejpam-4353	678	8	.	.	PUNCT
ejpam-4353	679	1	[	[	X
ejpam-4353	679	2	39	39	NUM
ejpam-4353	679	3	]	]	PUNCT
ejpam-4353	679	4	j	j	PROPN
ejpam-4353	679	5	thomas	thomas	PROPN
ejpam-4353	679	6	and	and	CCONJ
ejpam-4353	679	7	s	s	PROPN
ejpam-4353	679	8	j	j	PROPN
ejpam-4353	679	9	john	john	PROPN
ejpam-4353	679	10	.	.	PUNCT
ejpam-4353	680	1	on	on	ADP
ejpam-4353	680	2	soft	soft	ADJ
ejpam-4353	680	3	generalized	generalized	ADJ
ejpam-4353	680	4	topological	topological	ADJ
ejpam-4353	680	5	spaces	space	NOUN
ejpam-4353	680	6	.	.	PUNCT
ejpam-4353	681	1	journal	journal	NOUN
ejpam-4353	681	2	of	of	ADP
ejpam-4353	681	3	new	new	ADJ
ejpam-4353	681	4	results	result	NOUN
ejpam-4353	681	5	in	in	ADP
ejpam-4353	681	6	science	science	NOUN
ejpam-4353	681	7	,	,	PUNCT
ejpam-4353	681	8	4:01–15	4:01–15	NUM
ejpam-4353	681	9	,	,	PUNCT
ejpam-4353	681	10	2014	2014	NUM
ejpam-4353	681	11	.	.	PUNCT
ejpam-4353	682	1	[	[	X
ejpam-4353	682	2	40	40	NUM
ejpam-4353	682	3	]	]	X
ejpam-4353	682	4	j	j	PROPN
ejpam-4353	682	5	y	y	PROPN
ejpam-4353	682	6	wang	wang	PROPN
ejpam-4353	682	7	,	,	PUNCT
ejpam-4353	682	8	y	y	PROPN
ejpam-4353	682	9	p	p	PROPN
ejpam-4353	682	10	wang	wang	PROPN
ejpam-4353	682	11	,	,	PUNCT
ejpam-4353	682	12	and	and	CCONJ
ejpam-4353	682	13	l	l	PROPN
ejpam-4353	682	14	liu	liu	PROPN
ejpam-4353	682	15	.	.	PUNCT
ejpam-4353	683	1	hesitant	hesitant	ADJ
ejpam-4353	683	2	bipolar	bipolar	ADV
ejpam-4353	683	3	-	-	PUNCT
ejpam-4353	683	4	valued	value	VERB
ejpam-4353	683	5	fuzzy	fuzzy	ADJ
ejpam-4353	683	6	soft	soft	ADJ
ejpam-4353	683	7	sets	set	NOUN
ejpam-4353	683	8	and	and	CCONJ
ejpam-4353	683	9	their	their	PRON
ejpam-4353	683	10	application	application	NOUN
ejpam-4353	683	11	in	in	ADP
ejpam-4353	683	12	decision	decision	NOUN
ejpam-4353	683	13	making	making	NOUN
ejpam-4353	683	14	.	.	PUNCT
ejpam-4353	684	1	complexity	complexity	NOUN
ejpam-4353	684	2	,	,	PUNCT
ejpam-4353	684	3	2020	2020	NUM
ejpam-4353	684	4	:	:	PUNCT
ejpam-4353	684	5	article	article	NOUN
ejpam-4353	684	6	i	i	PROPN
ejpam-4353	684	7	d	d	PROPN
ejpam-4353	684	8	6496030	6496030	NUM
ejpam-4353	684	9	,	,	PUNCT
ejpam-4353	684	10	2020	2020	NUM
ejpam-4353	684	11	.	.	PUNCT
ejpam-4353	685	1	[	[	X
ejpam-4353	685	2	41	41	NUM
ejpam-4353	685	3	]	]	X
ejpam-4353	685	4	m	m	VERB
ejpam-4353	685	5	zhou	zhou	PROPN
ejpam-4353	685	6	,	,	PUNCT
ejpam-4353	685	7	s	s	PART
ejpam-4353	685	8	li	li	PROPN
ejpam-4353	685	9	,	,	PUNCT
ejpam-4353	685	10	and	and	CCONJ
ejpam-4353	685	11	m	m	PROPN
ejpam-4353	685	12	akram	akram	PROPN
ejpam-4353	685	13	.	.	PUNCT
ejpam-4353	686	1	categorical	categorical	ADJ
ejpam-4353	686	2	properties	property	NOUN
ejpam-4353	686	3	of	of	ADP
ejpam-4353	686	4	soft	soft	ADJ
ejpam-4353	686	5	sets	set	NOUN
ejpam-4353	686	6	.	.	PUNCT
ejpam-4353	687	1	the	the	DET
ejpam-4353	687	2	scientific	scientific	ADJ
ejpam-4353	687	3	world	world	NOUN
ejpam-4353	687	4	journal	journal	NOUN
ejpam-4353	687	5	,	,	PUNCT
ejpam-4353	687	6	2014	2014	NUM
ejpam-4353	687	7	:	:	PUNCT
ejpam-4353	687	8	article	article	NOUN
ejpam-4353	687	9	i	i	PROPN
ejpam-4353	687	10	d	d	PROPN
ejpam-4353	687	11	783056	783056	NUM
ejpam-4353	687	12	,	,	PUNCT
ejpam-4353	687	13	2014	2014	NUM
ejpam-4353	687	14	.	.	PUNCT
ejpam-4353	688	1	[	[	X
ejpam-4353	688	2	42	42	NUM
ejpam-4353	688	3	]	]	PUNCT
ejpam-4353	688	4	p	p	X
ejpam-4353	688	5	zhu	zhu	PROPN
ejpam-4353	688	6	and	and	CCONJ
ejpam-4353	688	7	q	q	ADJ
ejpam-4353	688	8	wen	wen	PROPN
ejpam-4353	688	9	.	.	PUNCT
ejpam-4353	689	1	operations	operation	NOUN
ejpam-4353	689	2	on	on	ADP
ejpam-4353	689	3	soft	soft	ADJ
ejpam-4353	689	4	sets	set	NOUN
ejpam-4353	689	5	revisited	revisit	VERB
ejpam-4353	689	6	.	.	PUNCT
ejpam-4353	690	1	journal	journal	NOUN
ejpam-4353	690	2	of	of	ADP
ejpam-4353	690	3	applied	apply	VERB
ejpam-4353	690	4	mathematics	mathematic	NOUN
ejpam-4353	690	5	,	,	PUNCT
ejpam-4353	690	6	2013	2013	NUM
ejpam-4353	690	7	:	:	PUNCT
ejpam-4353	690	8	article	article	NOUN
ejpam-4353	690	9	i	i	PROPN
ejpam-4353	690	10	d	d	PROPN
ejpam-4353	690	11	105752	105752	NUM
ejpam-4353	690	12	,	,	PUNCT
ejpam-4353	690	13	2013	2013	NUM
ejpam-4353	690	14	.	.	PUNCT