id	sid	tid	token	lemma	pos
ejpam-6225	1	1	european	european	PROPN
ejpam-6225	1	2	journal	journal	PROPN
ejpam-6225	1	3	of	of	ADP
ejpam-6225	1	4	pure	pure	ADJ
ejpam-6225	1	5	and	and	CCONJ
ejpam-6225	1	6	applied	applied	ADJ
ejpam-6225	1	7	mathematics	mathematic	NOUN
ejpam-6225	1	8	2025	2025	NUM
ejpam-6225	1	9	,	,	PUNCT
ejpam-6225	1	10	vol	vol	NOUN
ejpam-6225	1	11	.	.	PROPN
ejpam-6225	1	12	18	18	NUM
ejpam-6225	1	13	,	,	PUNCT
ejpam-6225	1	14	issue	issue	NOUN
ejpam-6225	1	15	4	4	NUM
ejpam-6225	1	16	,	,	PUNCT
ejpam-6225	1	17	article	article	NOUN
ejpam-6225	1	18	number	number	NOUN
ejpam-6225	1	19	6225	6225	NUM
ejpam-6225	1	20	issn	issn	VERB
ejpam-6225	1	21	1307	1307	NUM
ejpam-6225	1	22	-	-	SYM
ejpam-6225	1	23	5543	5543	NUM
ejpam-6225	1	24	–	–	PUNCT
ejpam-6225	1	25	ejpam.com	ejpam.com	X
ejpam-6225	1	26	published	publish	VERB
ejpam-6225	1	27	by	by	ADP
ejpam-6225	1	28	new	new	PROPN
ejpam-6225	1	29	york	york	PROPN
ejpam-6225	1	30	business	business	PROPN
ejpam-6225	1	31	global	global	ADJ
ejpam-6225	1	32	roughness	roughness	NOUN
ejpam-6225	1	33	of	of	ADP
ejpam-6225	1	34	bipolar	bipolar	ADJ
ejpam-6225	1	35	soft	soft	ADJ
ejpam-6225	1	36	sets	set	NOUN
ejpam-6225	1	37	via	via	ADP
ejpam-6225	1	38	ideals	ideal	NOUN
ejpam-6225	1	39	and	and	CCONJ
ejpam-6225	1	40	its	its	PRON
ejpam-6225	1	41	applications	application	NOUN
ejpam-6225	1	42	dali	dali	PROPN
ejpam-6225	1	43	shi1	shi1	PROPN
ejpam-6225	1	44	,	,	PUNCT
ejpam-6225	1	45	h.	h.	PROPN
ejpam-6225	1	46	m.	m.	PROPN
ejpam-6225	1	47	khiamy2	khiamy2	PROPN
ejpam-6225	1	48	,	,	PUNCT
ejpam-6225	1	49	s.	s.	PROPN
ejpam-6225	1	50	e.	e.	PROPN
ejpam-6225	1	51	abbas2	abbas2	PROPN
ejpam-6225	1	52	,	,	PUNCT
ejpam-6225	1	53	ismail	ismail	PROPN
ejpam-6225	1	54	ibedou3,∗	ibedou3,∗	PROPN
ejpam-6225	1	55	1	1	NUM
ejpam-6225	1	56	college	college	NOUN
ejpam-6225	1	57	of	of	ADP
ejpam-6225	1	58	accounting	accounting	NOUN
ejpam-6225	1	59	,	,	PUNCT
ejpam-6225	1	60	guangzhou	guangzhou	PROPN
ejpam-6225	1	61	college	college	PROPN
ejpam-6225	1	62	of	of	ADP
ejpam-6225	1	63	technology	technology	NOUN
ejpam-6225	1	64	and	and	CCONJ
ejpam-6225	1	65	business	business	NOUN
ejpam-6225	1	66	,	,	PUNCT
ejpam-6225	1	67	guangzhou	guangzhou	PROPN
ejpam-6225	1	68	528138	528138	NUM
ejpam-6225	1	69	,	,	PUNCT
ejpam-6225	1	70	china	china	PROPN
ejpam-6225	1	71	2	2	NUM
ejpam-6225	1	72	mathematics	mathematics	PROPN
ejpam-6225	1	73	department	department	NOUN
ejpam-6225	1	74	,	,	PUNCT
ejpam-6225	1	75	faculty	faculty	NOUN
ejpam-6225	1	76	of	of	ADP
ejpam-6225	1	77	science	science	NOUN
ejpam-6225	1	78	,	,	PUNCT
ejpam-6225	1	79	sohag	sohag	NOUN
ejpam-6225	1	80	university	university	NOUN
ejpam-6225	1	81	,	,	PUNCT
ejpam-6225	1	82	sohag	sohag	NOUN
ejpam-6225	1	83	82524	82524	NUM
ejpam-6225	1	84	,	,	PUNCT
ejpam-6225	1	85	egypt	egypt	PROPN
ejpam-6225	1	86	3	3	NUM
ejpam-6225	1	87	department	department	NOUN
ejpam-6225	1	88	of	of	ADP
ejpam-6225	1	89	mathematics	mathematic	NOUN
ejpam-6225	1	90	,	,	PUNCT
ejpam-6225	1	91	faculty	faculty	NOUN
ejpam-6225	1	92	of	of	ADP
ejpam-6225	1	93	science	science	NOUN
ejpam-6225	1	94	,	,	PUNCT
ejpam-6225	1	95	benha	benha	VERB
ejpam-6225	1	96	university	university	NOUN
ejpam-6225	1	97	,	,	PUNCT
ejpam-6225	1	98	benha	benha	NOUN
ejpam-6225	1	99	13518	13518	NUM
ejpam-6225	1	100	,	,	PUNCT
ejpam-6225	1	101	egypt	egypt	PROPN
ejpam-6225	1	102	abstract	abstract	PROPN
ejpam-6225	1	103	.	.	PUNCT
ejpam-6225	2	1	the	the	DET
ejpam-6225	2	2	essential	essential	ADJ
ejpam-6225	2	3	objectives	objective	NOUN
ejpam-6225	2	4	of	of	ADP
ejpam-6225	2	5	this	this	DET
ejpam-6225	2	6	study	study	NOUN
ejpam-6225	2	7	are	be	AUX
ejpam-6225	2	8	to	to	PART
ejpam-6225	2	9	propose	propose	VERB
ejpam-6225	2	10	enhancements	enhancement	NOUN
ejpam-6225	2	11	and	and	CCONJ
ejpam-6225	2	12	modifications	modification	NOUN
ejpam-6225	2	13	to	to	ADP
ejpam-6225	2	14	the	the	DET
ejpam-6225	2	15	bipolar	bipolar	ADJ
ejpam-6225	2	16	soft	soft	ADJ
ejpam-6225	2	17	rough	rough	ADJ
ejpam-6225	2	18	sets	set	NOUN
ejpam-6225	2	19	methodology	methodology	NOUN
ejpam-6225	2	20	by	by	ADP
ejpam-6225	2	21	incorporating	incorporate	VERB
ejpam-6225	2	22	ideals	ideal	NOUN
ejpam-6225	2	23	.	.	PUNCT
ejpam-6225	3	1	the	the	DET
ejpam-6225	3	2	paper	paper	NOUN
ejpam-6225	3	3	introduces	introduce	VERB
ejpam-6225	3	4	two	two	NUM
ejpam-6225	3	5	distinct	distinct	ADJ
ejpam-6225	3	6	types	type	NOUN
ejpam-6225	3	7	of	of	ADP
ejpam-6225	3	8	ideal	ideal	ADJ
ejpam-6225	3	9	bipolar	bipolar	ADJ
ejpam-6225	3	10	soft	soft	ADJ
ejpam-6225	3	11	approximation	approximation	NOUN
ejpam-6225	3	12	operators	operator	NOUN
ejpam-6225	3	13	,	,	PUNCT
ejpam-6225	3	14	which	which	PRON
ejpam-6225	3	15	serve	serve	VERB
ejpam-6225	3	16	as	as	ADP
ejpam-6225	3	17	extensions	extension	NOUN
ejpam-6225	3	18	to	to	ADP
ejpam-6225	3	19	the	the	DET
ejpam-6225	3	20	existing	exist	VERB
ejpam-6225	3	21	bipolar	bipolar	ADJ
ejpam-6225	3	22	soft	soft	ADJ
ejpam-6225	3	23	rough	rough	ADJ
ejpam-6225	3	24	approximation	approximation	NOUN
ejpam-6225	3	25	operator	operator	NOUN
ejpam-6225	3	26	.	.	PUNCT
ejpam-6225	4	1	furthermore	furthermore	ADV
ejpam-6225	4	2	,	,	PUNCT
ejpam-6225	4	3	two	two	NUM
ejpam-6225	4	4	approaches	approach	NOUN
ejpam-6225	4	5	are	be	AUX
ejpam-6225	4	6	employed	employ	VERB
ejpam-6225	4	7	to	to	PART
ejpam-6225	4	8	establish	establish	VERB
ejpam-6225	4	9	and	and	CCONJ
ejpam-6225	4	10	investigate	investigate	VERB
ejpam-6225	4	11	a	a	DET
ejpam-6225	4	12	novel	novel	ADJ
ejpam-6225	4	13	type	type	NOUN
ejpam-6225	4	14	of	of	ADP
ejpam-6225	4	15	bipolar	bipolar	ADJ
ejpam-6225	4	16	approximation	approximation	NOUN
ejpam-6225	4	17	space	space	NOUN
ejpam-6225	4	18	,	,	PUNCT
ejpam-6225	4	19	referred	refer	VERB
ejpam-6225	4	20	to	to	ADP
ejpam-6225	4	21	as	as	ADP
ejpam-6225	4	22	the	the	DET
ejpam-6225	4	23	bi	bi	ADJ
ejpam-6225	4	24	-	-	ADJ
ejpam-6225	4	25	ideal	ideal	ADJ
ejpam-6225	4	26	bipolar	bipolar	ADJ
ejpam-6225	4	27	soft	soft	ADJ
ejpam-6225	4	28	approximation	approximation	NOUN
ejpam-6225	4	29	space	space	NOUN
ejpam-6225	4	30	.	.	PUNCT
ejpam-6225	5	1	this	this	DET
ejpam-6225	5	2	work	work	NOUN
ejpam-6225	5	3	also	also	ADV
ejpam-6225	5	4	explores	explore	VERB
ejpam-6225	5	5	the	the	DET
ejpam-6225	5	6	relationships	relationship	NOUN
ejpam-6225	5	7	between	between	ADP
ejpam-6225	5	8	these	these	DET
ejpam-6225	5	9	proposed	propose	VERB
ejpam-6225	5	10	techniques	technique	NOUN
ejpam-6225	5	11	and	and	CCONJ
ejpam-6225	5	12	previous	previous	ADJ
ejpam-6225	5	13	methods	method	NOUN
ejpam-6225	5	14	,	,	PUNCT
ejpam-6225	5	15	detailing	detail	VERB
ejpam-6225	5	16	their	their	PRON
ejpam-6225	5	17	respective	respective	ADJ
ejpam-6225	5	18	characteristics	characteristic	NOUN
ejpam-6225	5	19	and	and	CCONJ
ejpam-6225	5	20	advantages	advantage	NOUN
ejpam-6225	5	21	.	.	PUNCT
ejpam-6225	6	1	by	by	ADP
ejpam-6225	6	2	enlarging	enlarge	VERB
ejpam-6225	6	3	the	the	DET
ejpam-6225	6	4	ideal	ideal	ADJ
ejpam-6225	6	5	bipolar	bipolar	ADJ
ejpam-6225	6	6	lower	low	ADJ
ejpam-6225	6	7	approximations	approximation	NOUN
ejpam-6225	6	8	and	and	CCONJ
ejpam-6225	6	9	reducing	reduce	VERB
ejpam-6225	6	10	the	the	DET
ejpam-6225	6	11	ideal	ideal	ADJ
ejpam-6225	6	12	bipolar	bipolar	ADJ
ejpam-6225	6	13	upper	upper	ADJ
ejpam-6225	6	14	approximations	approximation	NOUN
ejpam-6225	6	15	,	,	PUNCT
ejpam-6225	6	16	these	these	DET
ejpam-6225	6	17	strategies	strategy	NOUN
ejpam-6225	6	18	significantly	significantly	ADV
ejpam-6225	6	19	reduce	reduce	VERB
ejpam-6225	6	20	the	the	DET
ejpam-6225	6	21	ambiguity	ambiguity	NOUN
ejpam-6225	6	22	and	and	CCONJ
ejpam-6225	6	23	uncertainty	uncertainty	NOUN
ejpam-6225	6	24	within	within	ADP
ejpam-6225	6	25	the	the	DET
ejpam-6225	6	26	decision	decision	NOUN
ejpam-6225	6	27	-	-	PUNCT
ejpam-6225	6	28	making	make	VERB
ejpam-6225	6	29	process	process	NOUN
ejpam-6225	6	30	.	.	PUNCT
ejpam-6225	7	1	the	the	DET
ejpam-6225	7	2	paper	paper	NOUN
ejpam-6225	7	3	additionally	additionally	ADV
ejpam-6225	7	4	outlines	outline	VERB
ejpam-6225	7	5	several	several	ADJ
ejpam-6225	7	6	key	key	ADJ
ejpam-6225	7	7	metrics	metric	NOUN
ejpam-6225	7	8	related	relate	VERB
ejpam-6225	7	9	to	to	PART
ejpam-6225	7	10	ideal	ideal	VERB
ejpam-6225	7	11	bipolar	bipolar	ADJ
ejpam-6225	7	12	soft	soft	ADJ
ejpam-6225	7	13	spaces	space	NOUN
ejpam-6225	7	14	,	,	PUNCT
ejpam-6225	7	15	enriching	enrich	VERB
ejpam-6225	7	16	the	the	DET
ejpam-6225	7	17	theoretical	theoretical	ADJ
ejpam-6225	7	18	understanding	understanding	NOUN
ejpam-6225	7	19	of	of	ADP
ejpam-6225	7	20	these	these	DET
ejpam-6225	7	21	structures	structure	NOUN
ejpam-6225	7	22	.	.	PUNCT
ejpam-6225	8	1	a	a	DET
ejpam-6225	8	2	practical	practical	ADJ
ejpam-6225	8	3	application	application	NOUN
ejpam-6225	8	4	of	of	ADP
ejpam-6225	8	5	the	the	DET
ejpam-6225	8	6	proposed	propose	VERB
ejpam-6225	8	7	spaces	space	NOUN
ejpam-6225	8	8	is	be	AUX
ejpam-6225	8	9	presented	present	VERB
ejpam-6225	8	10	in	in	ADP
ejpam-6225	8	11	the	the	DET
ejpam-6225	8	12	context	context	NOUN
ejpam-6225	8	13	of	of	ADP
ejpam-6225	8	14	multi	multi	ADJ
ejpam-6225	8	15	-	-	ADJ
ejpam-6225	8	16	attribute	attribute	NOUN
ejpam-6225	8	17	group	group	NOUN
ejpam-6225	8	18	decision	decision	NOUN
ejpam-6225	8	19	-	-	PUNCT
ejpam-6225	8	20	making	make	VERB
ejpam-6225	8	21	(	(	PUNCT
ejpam-6225	8	22	magdm	magdm	NOUN
ejpam-6225	8	23	)	)	PUNCT
ejpam-6225	8	24	problems	problem	NOUN
ejpam-6225	8	25	.	.	PUNCT
ejpam-6225	9	1	to	to	PART
ejpam-6225	9	2	support	support	VERB
ejpam-6225	9	3	this	this	PRON
ejpam-6225	9	4	,	,	PUNCT
ejpam-6225	9	5	an	an	DET
ejpam-6225	9	6	algorithm	algorithm	NOUN
ejpam-6225	9	7	is	be	AUX
ejpam-6225	9	8	developed	develop	VERB
ejpam-6225	9	9	to	to	PART
ejpam-6225	9	10	facilitate	facilitate	VERB
ejpam-6225	9	11	the	the	DET
ejpam-6225	9	12	selection	selection	NOUN
ejpam-6225	9	13	of	of	ADP
ejpam-6225	9	14	the	the	DET
ejpam-6225	9	15	most	most	ADV
ejpam-6225	9	16	optimal	optimal	ADJ
ejpam-6225	9	17	alternative	alternative	NOUN
ejpam-6225	9	18	from	from	ADP
ejpam-6225	9	19	a	a	DET
ejpam-6225	9	20	range	range	NOUN
ejpam-6225	9	21	of	of	ADP
ejpam-6225	9	22	options	option	NOUN
ejpam-6225	9	23	,	,	PUNCT
ejpam-6225	9	24	accompanied	accompany	VERB
ejpam-6225	9	25	by	by	ADP
ejpam-6225	9	26	a	a	DET
ejpam-6225	9	27	practical	practical	ADJ
ejpam-6225	9	28	example	example	NOUN
ejpam-6225	9	29	to	to	PART
ejpam-6225	9	30	demonstrate	demonstrate	VERB
ejpam-6225	9	31	its	its	PRON
ejpam-6225	9	32	effectiveness	effectiveness	NOUN
ejpam-6225	9	33	.	.	PUNCT
ejpam-6225	10	1	the	the	DET
ejpam-6225	10	2	analysis	analysis	NOUN
ejpam-6225	10	3	highlights	highlight	VERB
ejpam-6225	10	4	the	the	DET
ejpam-6225	10	5	reliability	reliability	NOUN
ejpam-6225	10	6	,	,	PUNCT
ejpam-6225	10	7	adaptability	adaptability	NOUN
ejpam-6225	10	8	,	,	PUNCT
ejpam-6225	10	9	and	and	CCONJ
ejpam-6225	10	10	superiority	superiority	NOUN
ejpam-6225	10	11	of	of	ADP
ejpam-6225	10	12	the	the	DET
ejpam-6225	10	13	proposed	propose	VERB
ejpam-6225	10	14	magdm	magdm	NOUN
ejpam-6225	10	15	framework	framework	NOUN
ejpam-6225	10	16	.	.	PUNCT
ejpam-6225	11	1	furthermore	furthermore	ADV
ejpam-6225	11	2	,	,	PUNCT
ejpam-6225	11	3	a	a	DET
ejpam-6225	11	4	concise	concise	ADJ
ejpam-6225	11	5	comparison	comparison	NOUN
ejpam-6225	11	6	with	with	ADP
ejpam-6225	11	7	existing	exist	VERB
ejpam-6225	11	8	methodologies	methodology	NOUN
ejpam-6225	11	9	is	be	AUX
ejpam-6225	11	10	provided	provide	VERB
ejpam-6225	11	11	,	,	PUNCT
ejpam-6225	11	12	showcasing	showcase	VERB
ejpam-6225	11	13	the	the	DET
ejpam-6225	11	14	advantages	advantage	NOUN
ejpam-6225	11	15	and	and	CCONJ
ejpam-6225	11	16	robustness	robustness	NOUN
ejpam-6225	11	17	of	of	ADP
ejpam-6225	11	18	the	the	DET
ejpam-6225	11	19	proposed	propose	VERB
ejpam-6225	11	20	approach	approach	NOUN
ejpam-6225	11	21	in	in	ADP
ejpam-6225	11	22	addressing	address	VERB
ejpam-6225	11	23	complex	complex	ADJ
ejpam-6225	11	24	decision	decision	NOUN
ejpam-6225	11	25	-	-	PUNCT
ejpam-6225	11	26	making	make	VERB
ejpam-6225	11	27	challenges	challenge	NOUN
ejpam-6225	11	28	.	.	PUNCT
ejpam-6225	12	1	2020	2020	NUM
ejpam-6225	12	2	mathematics	mathematic	NOUN
ejpam-6225	12	3	subject	subject	NOUN
ejpam-6225	12	4	classifications	classification	NOUN
ejpam-6225	12	5	:	:	PUNCT
ejpam-6225	12	6	03e72	03e72	NUM
ejpam-6225	12	7	,	,	PUNCT
ejpam-6225	12	8	03b52	03b52	VERB
ejpam-6225	12	9	key	key	ADJ
ejpam-6225	12	10	words	word	NOUN
ejpam-6225	12	11	and	and	CCONJ
ejpam-6225	12	12	phrases	phrase	NOUN
ejpam-6225	12	13	:	:	PUNCT
ejpam-6225	12	14	bipolar	bipolar	ADJ
ejpam-6225	12	15	soft	soft	ADJ
ejpam-6225	12	16	set	set	NOUN
ejpam-6225	12	17	,	,	PUNCT
ejpam-6225	12	18	bipolar	bipolar	ADJ
ejpam-6225	12	19	ideal	ideal	ADJ
ejpam-6225	12	20	rough	rough	ADJ
ejpam-6225	12	21	soft	soft	ADJ
ejpam-6225	12	22	sets	set	NOUN
ejpam-6225	12	23	,	,	PUNCT
ejpam-6225	12	24	ideal	ideal	ADJ
ejpam-6225	12	25	bipolar	bipolar	ADJ
ejpam-6225	12	26	soft	soft	ADJ
ejpam-6225	12	27	approximation	approximation	NOUN
ejpam-6225	12	28	space	space	NOUN
ejpam-6225	12	29	abbreviations	abbreviation	NOUN
ejpam-6225	12	30	pa	pa	PROPN
ejpam-6225	12	31	⇒	⇒	VERB
ejpam-6225	12	32	positive	positive	ADJ
ejpam-6225	12	33	approximation	approximation	NOUN
ejpam-6225	12	34	,	,	PUNCT
ejpam-6225	12	35	na	na	PART
ejpam-6225	12	36	⇒	⇒	VERB
ejpam-6225	12	37	negative	negative	ADJ
ejpam-6225	12	38	approximation	approximation	NOUN
ejpam-6225	12	39	,	,	PUNCT
ejpam-6225	12	40	ua	ua	PROPN
ejpam-6225	12	41	⇒	⇒	VERB
ejpam-6225	12	42	upper	upper	ADJ
ejpam-6225	12	43	approximation	approximation	NOUN
ejpam-6225	12	44	la	la	PROPN
ejpam-6225	12	45	⇒	⇒	X
ejpam-6225	12	46	lower	low	ADJ
ejpam-6225	12	47	approximation	approximation	NOUN
ejpam-6225	12	48	,	,	PUNCT
ejpam-6225	12	49	sa	sa	PROPN
ejpam-6225	12	50	⇒	⇒	PROPN
ejpam-6225	12	51	soft	soft	ADJ
ejpam-6225	12	52	approximation	approximation	NOUN
ejpam-6225	12	53	,	,	PUNCT
ejpam-6225	12	54	br	br	PROPN
ejpam-6225	12	55	⇒	⇒	PROPN
ejpam-6225	12	56	boundary	boundary	ADJ
ejpam-6225	12	57	region	region	NOUN
ejpam-6225	13	1	1	1	NUM
ejpam-6225	13	2	.	.	PUNCT
ejpam-6225	13	3	introduction	introduction	NOUN
ejpam-6225	13	4	in	in	ADP
ejpam-6225	13	5	numerous	numerous	ADJ
ejpam-6225	13	6	fields	field	NOUN
ejpam-6225	13	7	such	such	ADJ
ejpam-6225	13	8	as	as	ADP
ejpam-6225	13	9	social	social	ADJ
ejpam-6225	13	10	sciences	science	NOUN
ejpam-6225	13	11	,	,	PUNCT
ejpam-6225	13	12	economics	economic	NOUN
ejpam-6225	13	13	,	,	PUNCT
ejpam-6225	13	14	engineering	engineering	NOUN
ejpam-6225	13	15	,	,	PUNCT
ejpam-6225	13	16	environmental	environmental	ADJ
ejpam-6225	13	17	sciences	science	NOUN
ejpam-6225	13	18	,	,	PUNCT
ejpam-6225	13	19	artificial	artificial	ADJ
ejpam-6225	13	20	intelligence	intelligence	NOUN
ejpam-6225	13	21	,	,	PUNCT
ejpam-6225	13	22	and	and	CCONJ
ejpam-6225	13	23	medical	medical	ADJ
ejpam-6225	13	24	sciences	science	NOUN
ejpam-6225	13	25	,	,	PUNCT
ejpam-6225	13	26	uncertainty	uncertainty	NOUN
ejpam-6225	13	27	and	and	CCONJ
ejpam-6225	13	28	imprecision	imprecision	NOUN
ejpam-6225	13	29	in	in	ADP
ejpam-6225	13	30	data	datum	NOUN
ejpam-6225	13	31	pose	pose	VERB
ejpam-6225	13	32	significant	significant	ADJ
ejpam-6225	13	33	challenges	challenge	NOUN
ejpam-6225	13	34	.	.	PUNCT
ejpam-6225	14	1	these	these	DET
ejpam-6225	14	2	issues	issue	NOUN
ejpam-6225	14	3	often	often	ADV
ejpam-6225	14	4	stem	stem	VERB
ejpam-6225	14	5	from	from	ADP
ejpam-6225	14	6	limitations	limitation	NOUN
ejpam-6225	14	7	in	in	ADP
ejpam-6225	14	8	representing	represent	VERB
ejpam-6225	14	9	knowledge	knowledge	NOUN
ejpam-6225	14	10	and	and	CCONJ
ejpam-6225	14	11	the	the	DET
ejpam-6225	14	12	inherent	inherent	ADJ
ejpam-6225	14	13	∗corresponding	∗corresponding	NOUN
ejpam-6225	14	14	author	author	NOUN
ejpam-6225	14	15	.	.	PUNCT
ejpam-6225	15	1	doi	doi	NOUN
ejpam-6225	15	2	:	:	PUNCT
ejpam-6225	15	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6225	https://doi.org/10.29020/nybg.ejpam.v18i4.6225	PROPN
ejpam-6225	15	4	email	email	NOUN
ejpam-6225	15	5	addresses	address	NOUN
ejpam-6225	15	6	:	:	PUNCT
ejpam-6225	15	7	shidali@gzgs.edu.cn	shidali@gzgs.edu.cn	PROPN
ejpam-6225	15	8	(	(	PUNCT
ejpam-6225	15	9	d.	d.	PROPN
ejpam-6225	15	10	shi	shi	PROPN
ejpam-6225	15	11	)	)	PUNCT
ejpam-6225	15	12	,	,	PUNCT
ejpam-6225	15	13	hossam.khiamy@gmail.com	hossam.khiamy@gmail.com	X
ejpam-6225	15	14	(	(	PUNCT
ejpam-6225	15	15	h.	h.	PROPN
ejpam-6225	15	16	m.	m.	PROPN
ejpam-6225	15	17	khiamy	khiamy	PROPN
ejpam-6225	15	18	)	)	PUNCT
ejpam-6225	15	19	,	,	PUNCT
ejpam-6225	15	20	salaheldin_ahmed@science.sohag.edu.eg	salaheldin_ahmed@science.sohag.edu.eg	PROPN
ejpam-6225	15	21	(	(	PUNCT
ejpam-6225	15	22	s.	s.	PROPN
ejpam-6225	15	23	e.	e.	PROPN
ejpam-6225	15	24	abbas	abbas	PROPN
ejpam-6225	15	25	)	)	PUNCT
ejpam-6225	15	26	,	,	PUNCT
ejpam-6225	15	27	ismail.abdelaziz@fsc.bu.edu.eg	ismail.abdelaziz@fsc.bu.edu.eg	PROPN
ejpam-6225	15	28	(	(	PUNCT
ejpam-6225	15	29	i.	i.	PROPN
ejpam-6225	15	30	ibedou	ibedou	PROPN
ejpam-6225	15	31	)	)	PUNCT
ejpam-6225	15	32	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6225	16	1	1	1	NUM
ejpam-6225	16	2	copyright	copyright	NOUN
ejpam-6225	16	3	:	:	PUNCT
ejpam-6225	16	4	©	©	PROPN
ejpam-6225	16	5	2025	2025	NUM
ejpam-6225	16	6	the	the	DET
ejpam-6225	16	7	author(s	author(s	NOUN
ejpam-6225	16	8	)	)	PUNCT
ejpam-6225	16	9	.	.	PUNCT
ejpam-6225	17	1	(	(	PUNCT
ejpam-6225	17	2	cc	cc	NOUN
ejpam-6225	17	3	by	by	ADP
ejpam-6225	17	4	-	-	PUNCT
ejpam-6225	17	5	nc	nc	PROPN
ejpam-6225	17	6	4.0	4.0	NUM
ejpam-6225	17	7	)	)	PUNCT
ejpam-6225	17	8	d.	d.	PROPN
ejpam-6225	17	9	shi	shi	PROPN
ejpam-6225	17	10	et	et	PROPN
ejpam-6225	17	11	al	al	PROPN
ejpam-6225	17	12	.	.	PUNCT
ejpam-6225	17	13	/	/	SYM
ejpam-6225	17	14	eur	eur	PROPN
ejpam-6225	17	15	.	.	PUNCT
ejpam-6225	18	1	j.	j.	PROPN
ejpam-6225	18	2	pure	pure	PROPN
ejpam-6225	18	3	appl	appl	PROPN
ejpam-6225	18	4	.	.	PROPN
ejpam-6225	18	5	math	math	PROPN
ejpam-6225	18	6	,	,	PUNCT
ejpam-6225	18	7	18	18	NUM
ejpam-6225	18	8	(	(	PUNCT
ejpam-6225	18	9	4	4	NUM
ejpam-6225	18	10	)	)	PUNCT
ejpam-6225	18	11	(	(	PUNCT
ejpam-6225	18	12	2025	2025	NUM
ejpam-6225	18	13	)	)	PUNCT
ejpam-6225	18	14	,	,	PUNCT
ejpam-6225	18	15	6225	6225	NUM
ejpam-6225	18	16	2	2	NUM
ejpam-6225	18	17	of	of	ADP
ejpam-6225	18	18	36	36	NUM
ejpam-6225	18	19	roughness	roughness	NOUN
ejpam-6225	18	20	of	of	ADP
ejpam-6225	18	21	available	available	ADJ
ejpam-6225	18	22	information	information	NOUN
ejpam-6225	18	23	.	.	PUNCT
ejpam-6225	19	1	to	to	PART
ejpam-6225	19	2	address	address	VERB
ejpam-6225	19	3	these	these	DET
ejpam-6225	19	4	complexities	complexity	NOUN
ejpam-6225	19	5	,	,	PUNCT
ejpam-6225	19	6	researchers	researcher	NOUN
ejpam-6225	19	7	have	have	AUX
ejpam-6225	19	8	proposed	propose	VERB
ejpam-6225	19	9	a	a	DET
ejpam-6225	19	10	variety	variety	NOUN
ejpam-6225	19	11	of	of	ADP
ejpam-6225	19	12	mathematical	mathematical	ADJ
ejpam-6225	19	13	modeling	modeling	NOUN
ejpam-6225	19	14	approaches	approach	NOUN
ejpam-6225	19	15	,	,	PUNCT
ejpam-6225	19	16	including	include	VERB
ejpam-6225	19	17	interval	interval	NOUN
ejpam-6225	19	18	mathematics	mathematic	NOUN
ejpam-6225	19	19	,	,	PUNCT
ejpam-6225	19	20	vague	vague	ADJ
ejpam-6225	19	21	set	set	NOUN
ejpam-6225	19	22	theory	theory	NOUN
ejpam-6225	19	23	,	,	PUNCT
ejpam-6225	19	24	fuzzy	fuzzy	ADJ
ejpam-6225	19	25	set	set	NOUN
ejpam-6225	19	26	theory	theory	NOUN
ejpam-6225	19	27	,	,	PUNCT
ejpam-6225	19	28	theory	theory	NOUN
ejpam-6225	19	29	of	of	ADP
ejpam-6225	19	30	rough	rough	ADJ
ejpam-6225	19	31	sets	set	NOUN
ejpam-6225	19	32	[	[	X
ejpam-6225	19	33	1	1	NUM
ejpam-6225	19	34	]	]	PUNCT
ejpam-6225	19	35	,	,	PUNCT
ejpam-6225	19	36	and	and	CCONJ
ejpam-6225	19	37	theory	theory	NOUN
ejpam-6225	19	38	of	of	ADP
ejpam-6225	19	39	probability	probability	NOUN
ejpam-6225	19	40	.	.	PUNCT
ejpam-6225	20	1	however	however	ADV
ejpam-6225	20	2	,	,	PUNCT
ejpam-6225	20	3	despite	despite	SCONJ
ejpam-6225	20	4	their	their	PRON
ejpam-6225	20	5	utility	utility	NOUN
ejpam-6225	20	6	,	,	PUNCT
ejpam-6225	20	7	each	each	PRON
ejpam-6225	20	8	of	of	ADP
ejpam-6225	20	9	these	these	DET
ejpam-6225	20	10	approaches	approach	NOUN
ejpam-6225	20	11	has	have	VERB
ejpam-6225	20	12	inherent	inherent	ADJ
ejpam-6225	20	13	limitations	limitation	NOUN
ejpam-6225	20	14	[	[	X
ejpam-6225	20	15	2	2	NUM
ejpam-6225	20	16	]	]	PUNCT
ejpam-6225	20	17	,	,	PUNCT
ejpam-6225	20	18	prompting	prompt	VERB
ejpam-6225	20	19	the	the	DET
ejpam-6225	20	20	need	need	NOUN
ejpam-6225	20	21	for	for	ADP
ejpam-6225	20	22	alternative	alternative	ADJ
ejpam-6225	20	23	frameworks	framework	NOUN
ejpam-6225	20	24	.	.	PUNCT
ejpam-6225	21	1	soft	soft	ADJ
ejpam-6225	21	2	set	set	ADJ
ejpam-6225	21	3	theory	theory	NOUN
ejpam-6225	21	4	introduced	introduce	VERB
ejpam-6225	21	5	by	by	ADP
ejpam-6225	21	6	molodtsov	molodtsov	NOUN
ejpam-6225	22	1	[	[	X
ejpam-6225	22	2	3	3	NUM
ejpam-6225	22	3	]	]	PUNCT
ejpam-6225	22	4	,	,	PUNCT
ejpam-6225	22	5	offers	offer	VERB
ejpam-6225	22	6	a	a	DET
ejpam-6225	22	7	flexible	flexible	ADJ
ejpam-6225	22	8	and	and	CCONJ
ejpam-6225	22	9	effective	effective	ADJ
ejpam-6225	22	10	mathematical	mathematical	ADJ
ejpam-6225	22	11	tool	tool	NOUN
ejpam-6225	22	12	to	to	PART
ejpam-6225	22	13	manage	manage	VERB
ejpam-6225	22	14	uncertainty	uncertainty	NOUN
ejpam-6225	22	15	.	.	PUNCT
ejpam-6225	23	1	its	its	PRON
ejpam-6225	23	2	applicability	applicability	NOUN
ejpam-6225	23	3	spans	span	VERB
ejpam-6225	23	4	various	various	ADJ
ejpam-6225	23	5	domains	domain	NOUN
ejpam-6225	23	6	,	,	PUNCT
ejpam-6225	23	7	including	include	VERB
ejpam-6225	23	8	game	game	NOUN
ejpam-6225	23	9	theory	theory	NOUN
ejpam-6225	23	10	,	,	PUNCT
ejpam-6225	23	11	functional	functional	ADJ
ejpam-6225	23	12	analysis	analysis	NOUN
ejpam-6225	23	13	,	,	PUNCT
ejpam-6225	23	14	probability	probability	NOUN
ejpam-6225	23	15	theory	theory	NOUN
ejpam-6225	23	16	,	,	PUNCT
ejpam-6225	23	17	operational	operational	ADJ
ejpam-6225	23	18	research	research	NOUN
ejpam-6225	23	19	,	,	PUNCT
ejpam-6225	23	20	and	and	CCONJ
ejpam-6225	23	21	medical	medical	ADJ
ejpam-6225	23	22	diagnostics	diagnostic	NOUN
ejpam-6225	23	23	.	.	PUNCT
ejpam-6225	24	1	this	this	DET
ejpam-6225	24	2	framework	framework	NOUN
ejpam-6225	24	3	has	have	AUX
ejpam-6225	24	4	undergone	undergo	VERB
ejpam-6225	24	5	rapid	rapid	ADJ
ejpam-6225	24	6	development	development	NOUN
ejpam-6225	24	7	,	,	PUNCT
ejpam-6225	24	8	with	with	ADP
ejpam-6225	24	9	significant	significant	ADJ
ejpam-6225	24	10	contributions	contribution	NOUN
ejpam-6225	24	11	such	such	ADJ
ejpam-6225	24	12	as	as	ADP
ejpam-6225	24	13	the	the	DET
ejpam-6225	24	14	introduction	introduction	NOUN
ejpam-6225	24	15	of	of	ADP
ejpam-6225	24	16	algebraic	algebraic	ADJ
ejpam-6225	24	17	operations	operation	NOUN
ejpam-6225	24	18	on	on	ADP
ejpam-6225	24	19	soft	soft	ADJ
ejpam-6225	24	20	sets	set	NOUN
ejpam-6225	24	21	by	by	ADP
ejpam-6225	24	22	maji	maji	PROPN
ejpam-6225	24	23	et	et	PROPN
ejpam-6225	24	24	al	al	PROPN
ejpam-6225	24	25	.	.	PUNCT
ejpam-6225	25	1	[	[	X
ejpam-6225	25	2	4	4	X
ejpam-6225	25	3	]	]	PUNCT
ejpam-6225	25	4	and	and	CCONJ
ejpam-6225	25	5	presented	present	VERB
ejpam-6225	25	6	by	by	ADP
ejpam-6225	25	7	ali	ali	PROPN
ejpam-6225	25	8	et	et	PROPN
ejpam-6225	25	9	al	al	PROPN
ejpam-6225	25	10	.	.	PUNCT
ejpam-6225	26	1	[	[	X
ejpam-6225	26	2	5	5	NUM
ejpam-6225	26	3	]	]	PUNCT
ejpam-6225	26	4	as	as	ADV
ejpam-6225	26	5	well	well	ADV
ejpam-6225	26	6	as	as	ADP
ejpam-6225	26	7	some	some	DET
ejpam-6225	26	8	fundamental	fundamental	ADJ
ejpam-6225	26	9	operations	operation	NOUN
ejpam-6225	26	10	on	on	ADP
ejpam-6225	26	11	soft	soft	ADJ
ejpam-6225	26	12	sets	set	NOUN
ejpam-6225	26	13	.	.	PUNCT
ejpam-6225	27	1	soft	soft	ADJ
ejpam-6225	27	2	topological	topological	ADJ
ejpam-6225	27	3	spaces	space	NOUN
ejpam-6225	27	4	are	be	AUX
ejpam-6225	27	5	introduced	introduce	VERB
ejpam-6225	27	6	by	by	ADP
ejpam-6225	27	7	cagman	cagman	PROPN
ejpam-6225	27	8	et	et	PROPN
ejpam-6225	27	9	al	al	PROPN
ejpam-6225	27	10	.	.	PUNCT
ejpam-6225	28	1	[	[	X
ejpam-6225	28	2	6	6	NUM
ejpam-6225	28	3	]	]	PUNCT
ejpam-6225	28	4	.	.	PUNCT
ejpam-6225	29	1	n	n	CCONJ
ejpam-6225	29	2	-	-	PUNCT
ejpam-6225	29	3	soft	soft	ADJ
ejpam-6225	29	4	sets	set	NOUN
ejpam-6225	29	5	[	[	X
ejpam-6225	29	6	7	7	NUM
ejpam-6225	29	7	,	,	PUNCT
ejpam-6225	29	8	8	8	NUM
ejpam-6225	29	9	]	]	PUNCT
ejpam-6225	29	10	,	,	PUNCT
ejpam-6225	29	11	multipolar	multipolar	ADJ
ejpam-6225	29	12	neutrosophic	neutrosophic	ADJ
ejpam-6225	29	13	soft	soft	ADJ
ejpam-6225	29	14	set	set	NOUN
ejpam-6225	30	1	[	[	X
ejpam-6225	30	2	9	9	NUM
ejpam-6225	30	3	]	]	PUNCT
ejpam-6225	30	4	,	,	PUNCT
ejpam-6225	30	5	sum	sum	NOUN
ejpam-6225	30	6	of	of	ADP
ejpam-6225	30	7	soft	soft	ADJ
ejpam-6225	30	8	topological	topological	ADJ
ejpam-6225	30	9	spaces	space	NOUN
ejpam-6225	31	1	[	[	X
ejpam-6225	31	2	10	10	NUM
ejpam-6225	31	3	]	]	PUNCT
ejpam-6225	31	4	were	be	AUX
ejpam-6225	31	5	introduced	introduce	VERB
ejpam-6225	31	6	.	.	PUNCT
ejpam-6225	32	1	a	a	DET
ejpam-6225	32	2	number	number	NOUN
ejpam-6225	32	3	of	of	ADP
ejpam-6225	32	4	scholars	scholar	NOUN
ejpam-6225	32	5	have	have	AUX
ejpam-6225	32	6	examined	examine	VERB
ejpam-6225	32	7	these	these	DET
ejpam-6225	32	8	properties	property	NOUN
ejpam-6225	32	9	and	and	CCONJ
ejpam-6225	32	10	the	the	PRON
ejpam-6225	32	11	have	have	AUX
ejpam-6225	32	12	used	use	VERB
ejpam-6225	32	13	soft	soft	ADJ
ejpam-6225	32	14	sets	set	NOUN
ejpam-6225	32	15	in	in	ADP
ejpam-6225	32	16	decision	decision	NOUN
ejpam-6225	32	17	-	-	PUNCT
ejpam-6225	32	18	making	making	NOUN
ejpam-6225	32	19	[	[	X
ejpam-6225	32	20	11	11	NUM
ejpam-6225	32	21	,	,	PUNCT
ejpam-6225	32	22	12	12	NUM
ejpam-6225	32	23	]	]	PUNCT
ejpam-6225	32	24	.	.	PUNCT
ejpam-6225	33	1	the	the	DET
ejpam-6225	33	2	joint	joint	NOUN
ejpam-6225	33	3	of	of	ADP
ejpam-6225	33	4	rough	rough	ADJ
ejpam-6225	33	5	sets	set	NOUN
ejpam-6225	33	6	and	and	CCONJ
ejpam-6225	33	7	soft	soft	ADJ
ejpam-6225	33	8	sets	set	NOUN
ejpam-6225	33	9	has	have	AUX
ejpam-6225	33	10	given	give	VERB
ejpam-6225	33	11	rise	rise	NOUN
ejpam-6225	33	12	to	to	ADP
ejpam-6225	33	13	soft	soft	ADJ
ejpam-6225	33	14	rough	rough	ADJ
ejpam-6225	33	15	sets	set	NOUN
ejpam-6225	33	16	,	,	PUNCT
ejpam-6225	33	17	which	which	PRON
ejpam-6225	33	18	address	address	VERB
ejpam-6225	33	19	these	these	DET
ejpam-6225	33	20	challenges	challenge	NOUN
ejpam-6225	33	21	of	of	ADP
ejpam-6225	33	22	incomplete	incomplete	ADJ
ejpam-6225	33	23	and	and	CCONJ
ejpam-6225	33	24	uncertain	uncertain	ADJ
ejpam-6225	33	25	information	information	NOUN
ejpam-6225	33	26	in	in	ADP
ejpam-6225	33	27	intelligent	intelligent	ADJ
ejpam-6225	33	28	systems	system	NOUN
ejpam-6225	33	29	.	.	PUNCT
ejpam-6225	34	1	feng	feng	PROPN
ejpam-6225	35	1	[	[	X
ejpam-6225	35	2	13	13	NUM
ejpam-6225	35	3	]	]	PUNCT
ejpam-6225	35	4	pioneered	pioneer	VERB
ejpam-6225	35	5	this	this	DET
ejpam-6225	35	6	integration	integration	NOUN
ejpam-6225	35	7	to	to	PART
ejpam-6225	35	8	refine	refine	VERB
ejpam-6225	35	9	approximation	approximation	NOUN
ejpam-6225	35	10	techniques	technique	NOUN
ejpam-6225	35	11	,	,	PUNCT
ejpam-6225	35	12	while	while	SCONJ
ejpam-6225	35	13	alkhazaleh	alkhazaleh	NOUN
ejpam-6225	35	14	and	and	CCONJ
ejpam-6225	35	15	marei	marei	ADJ
ejpam-6225	35	16	[	[	X
ejpam-6225	35	17	14	14	NUM
ejpam-6225	35	18	]	]	PUNCT
ejpam-6225	35	19	put	put	VERB
ejpam-6225	35	20	forward	forward	ADV
ejpam-6225	35	21	new	new	ADJ
ejpam-6225	35	22	soft	soft	ADJ
ejpam-6225	35	23	rough	rough	ADJ
ejpam-6225	35	24	sets	set	NOUN
ejpam-6225	35	25	approximations	approximation	NOUN
ejpam-6225	35	26	.	.	PUNCT
ejpam-6225	36	1	furthermore	furthermore	ADV
ejpam-6225	36	2	,	,	PUNCT
ejpam-6225	36	3	the	the	DET
ejpam-6225	36	4	concept	concept	NOUN
ejpam-6225	36	5	of	of	ADP
ejpam-6225	36	6	ideals	ideal	NOUN
ejpam-6225	36	7	,	,	PUNCT
ejpam-6225	36	8	defined	define	VERB
ejpam-6225	36	9	as	as	ADP
ejpam-6225	36	10	non	non	ADJ
ejpam-6225	36	11	-	-	ADJ
ejpam-6225	36	12	empty	empty	ADJ
ejpam-6225	36	13	collections	collection	NOUN
ejpam-6225	36	14	of	of	ADP
ejpam-6225	36	15	sets	set	NOUN
ejpam-6225	36	16	closed	close	VERB
ejpam-6225	36	17	under	under	ADP
ejpam-6225	36	18	hereditary	hereditary	ADJ
ejpam-6225	36	19	properties	property	NOUN
ejpam-6225	36	20	and	and	CCONJ
ejpam-6225	36	21	finite	finite	VERB
ejpam-6225	36	22	additivity	additivity	NOUN
ejpam-6225	36	23	[	[	X
ejpam-6225	36	24	15	15	NUM
ejpam-6225	36	25	]	]	PUNCT
ejpam-6225	36	26	,	,	PUNCT
ejpam-6225	36	27	has	have	AUX
ejpam-6225	36	28	been	be	AUX
ejpam-6225	36	29	instrumental	instrumental	ADJ
ejpam-6225	36	30	in	in	ADP
ejpam-6225	36	31	improving	improve	VERB
ejpam-6225	36	32	these	these	DET
ejpam-6225	36	33	approximations	approximation	NOUN
ejpam-6225	36	34	.	.	PUNCT
ejpam-6225	37	1	the	the	DET
ejpam-6225	37	2	introduction	introduction	NOUN
ejpam-6225	37	3	of	of	ADP
ejpam-6225	37	4	bi	bi	NOUN
ejpam-6225	37	5	-	-	NOUN
ejpam-6225	37	6	ideals	ideal	NOUN
ejpam-6225	37	7	[	[	X
ejpam-6225	37	8	16	16	NUM
ejpam-6225	37	9	]	]	PUNCT
ejpam-6225	37	10	has	have	AUX
ejpam-6225	37	11	provided	provide	VERB
ejpam-6225	37	12	a	a	DET
ejpam-6225	37	13	new	new	ADJ
ejpam-6225	37	14	framework	framework	NOUN
ejpam-6225	37	15	for	for	ADP
ejpam-6225	37	16	reducing	reduce	VERB
ejpam-6225	37	17	brs	brs	NOUN
ejpam-6225	37	18	and	and	CCONJ
ejpam-6225	37	19	enhancing	enhance	VERB
ejpam-6225	37	20	the	the	DET
ejpam-6225	37	21	precision	precision	NOUN
ejpam-6225	37	22	of	of	ADP
ejpam-6225	37	23	approximations	approximation	NOUN
ejpam-6225	37	24	,	,	PUNCT
ejpam-6225	37	25	enabling	enable	VERB
ejpam-6225	37	26	the	the	DET
ejpam-6225	37	27	resolution	resolution	NOUN
ejpam-6225	37	28	of	of	ADP
ejpam-6225	37	29	complex	complex	ADJ
ejpam-6225	37	30	real	real	ADJ
ejpam-6225	37	31	-	-	PUNCT
ejpam-6225	37	32	life	life	NOUN
ejpam-6225	37	33	problems	problem	NOUN
ejpam-6225	37	34	[	[	X
ejpam-6225	37	35	16–19	16–19	NUM
ejpam-6225	37	36	]	]	PUNCT
ejpam-6225	37	37	.	.	PUNCT
ejpam-6225	38	1	alharbi	alharbi	PROPN
ejpam-6225	38	2	et	et	PROPN
ejpam-6225	38	3	al	al	PROPN
ejpam-6225	38	4	.	.	PUNCT
ejpam-6225	39	1	[	[	X
ejpam-6225	39	2	20	20	NUM
ejpam-6225	39	3	]	]	PUNCT
ejpam-6225	39	4	improved	improve	VERB
ejpam-6225	39	5	the	the	DET
ejpam-6225	39	6	sas	sa	NOUN
ejpam-6225	39	7	given	give	VERB
ejpam-6225	39	8	by	by	ADP
ejpam-6225	39	9	feng	feng	PROPN
ejpam-6225	39	10	et	et	PROPN
ejpam-6225	39	11	al	al	PROPN
ejpam-6225	39	12	.	.	PUNCT
ejpam-6225	40	1	[	[	X
ejpam-6225	40	2	13	13	NUM
ejpam-6225	40	3	]	]	PUNCT
ejpam-6225	40	4	,	,	PUNCT
ejpam-6225	40	5	alkhazaleh	alkhazaleh	NOUN
ejpam-6225	40	6	and	and	CCONJ
ejpam-6225	40	7	marei	marei	ADJ
ejpam-6225	40	8	[	[	X
ejpam-6225	40	9	14	14	NUM
ejpam-6225	40	10	]	]	X
ejpam-6225	40	11	utilizing	utilize	VERB
ejpam-6225	40	12	ideals	ideal	NOUN
ejpam-6225	40	13	.	.	PUNCT
ejpam-6225	41	1	bipolar	bipolar	ADJ
ejpam-6225	41	2	soft	soft	ADJ
ejpam-6225	41	3	sets	set	NOUN
ejpam-6225	41	4	,	,	PUNCT
ejpam-6225	41	5	first	first	ADV
ejpam-6225	41	6	explored	explore	VERB
ejpam-6225	41	7	in	in	ADP
ejpam-6225	41	8	[	[	X
ejpam-6225	41	9	21	21	NUM
ejpam-6225	41	10	]	]	PUNCT
ejpam-6225	41	11	,	,	PUNCT
ejpam-6225	41	12	extend	extend	VERB
ejpam-6225	41	13	the	the	DET
ejpam-6225	41	14	notion	notion	NOUN
ejpam-6225	41	15	of	of	ADP
ejpam-6225	41	16	fuzzy	fuzzy	ADJ
ejpam-6225	41	17	sets	set	NOUN
ejpam-6225	41	18	by	by	ADP
ejpam-6225	41	19	incorporating	incorporate	VERB
ejpam-6225	41	20	a	a	DET
ejpam-6225	41	21	bipolar	bipolar	ADJ
ejpam-6225	41	22	membership	membership	NOUN
ejpam-6225	41	23	scale	scale	NOUN
ejpam-6225	41	24	ranging	range	VERB
ejpam-6225	41	25	from	from	ADP
ejpam-6225	41	26	-1	-1	INTJ
ejpam-6225	41	27	to	to	ADP
ejpam-6225	41	28	1	1	NUM
ejpam-6225	41	29	.	.	PUNCT
ejpam-6225	42	1	the	the	DET
ejpam-6225	42	2	notion	notion	NOUN
ejpam-6225	42	3	of	of	ADP
ejpam-6225	42	4	a	a	DET
ejpam-6225	42	5	bipolar	bipolar	ADJ
ejpam-6225	42	6	valued	value	VERB
ejpam-6225	42	7	fuzzy	fuzzy	ADJ
ejpam-6225	42	8	set	set	NOUN
ejpam-6225	42	9	[	[	X
ejpam-6225	42	10	22	22	NUM
ejpam-6225	42	11	]	]	PUNCT
ejpam-6225	42	12	was	be	AUX
ejpam-6225	42	13	presented	present	VERB
ejpam-6225	42	14	by	by	ADP
ejpam-6225	42	15	upgrading	upgrade	VERB
ejpam-6225	42	16	the	the	DET
ejpam-6225	42	17	fuzzy	fuzzy	ADJ
ejpam-6225	42	18	set	set	NOUN
ejpam-6225	42	19	’s	’s	PART
ejpam-6225	42	20	membership	membership	NOUN
ejpam-6225	42	21	grade	grade	NOUN
ejpam-6225	42	22	from	from	ADP
ejpam-6225	42	23	[	[	X
ejpam-6225	42	24	0	0	NUM
ejpam-6225	42	25	,	,	PUNCT
ejpam-6225	42	26	1	1	NUM
ejpam-6225	42	27	]	]	PUNCT
ejpam-6225	42	28	to	to	ADP
ejpam-6225	42	29	[	[	X
ejpam-6225	42	30	−1	−1	NOUN
ejpam-6225	42	31	,	,	PUNCT
ejpam-6225	42	32	1	1	NUM
ejpam-6225	42	33	]	]	PUNCT
ejpam-6225	42	34	.	.	PUNCT
ejpam-6225	43	1	this	this	DET
ejpam-6225	43	2	concept	concept	NOUN
ejpam-6225	43	3	has	have	AUX
ejpam-6225	43	4	been	be	AUX
ejpam-6225	43	5	generalized	generalize	VERB
ejpam-6225	43	6	further	far	ADV
ejpam-6225	43	7	to	to	PART
ejpam-6225	43	8	include	include	VERB
ejpam-6225	43	9	bipolar	bipolar	ADJ
ejpam-6225	43	10	fuzzy	fuzzy	ADJ
ejpam-6225	43	11	relations	relation	NOUN
ejpam-6225	43	12	[	[	X
ejpam-6225	43	13	23	23	NUM
ejpam-6225	43	14	]	]	PUNCT
ejpam-6225	43	15	,	,	PUNCT
ejpam-6225	43	16	bipolar	bipolar	ADJ
ejpam-6225	43	17	complex	complex	ADJ
ejpam-6225	43	18	fuzzy	fuzzy	ADJ
ejpam-6225	43	19	sets	set	NOUN
ejpam-6225	43	20	[	[	X
ejpam-6225	43	21	24	24	NUM
ejpam-6225	43	22	]	]	PUNCT
ejpam-6225	43	23	,	,	PUNCT
ejpam-6225	43	24	bipolar	bipolar	ADJ
ejpam-6225	43	25	fuzzy	fuzzy	ADJ
ejpam-6225	43	26	soft	soft	ADJ
ejpam-6225	43	27	sets	set	NOUN
ejpam-6225	44	1	[	[	X
ejpam-6225	44	2	25	25	NUM
ejpam-6225	44	3	]	]	PUNCT
ejpam-6225	44	4	,	,	PUNCT
ejpam-6225	44	5	fuzzy	fuzzy	ADJ
ejpam-6225	44	6	bipolar	bipolar	ADJ
ejpam-6225	44	7	soft	soft	ADJ
ejpam-6225	44	8	sets	set	NOUN
ejpam-6225	45	1	[	[	X
ejpam-6225	45	2	26	26	NUM
ejpam-6225	45	3	]	]	PUNCT
ejpam-6225	45	4	,	,	PUNCT
ejpam-6225	45	5	bipolar	bipolar	ADJ
ejpam-6225	45	6	neutrosophic	neutrosophic	ADJ
ejpam-6225	45	7	soft	soft	ADJ
ejpam-6225	45	8	sets	set	NOUN
ejpam-6225	45	9	[	[	X
ejpam-6225	45	10	27	27	NUM
ejpam-6225	45	11	]	]	PUNCT
ejpam-6225	45	12	,	,	PUNCT
ejpam-6225	45	13	hesitant	hesitant	ADJ
ejpam-6225	45	14	bipolar	bipolar	ADV
ejpam-6225	45	15	-	-	PUNCT
ejpam-6225	45	16	valued	value	VERB
ejpam-6225	45	17	fuzzy	fuzzy	ADJ
ejpam-6225	45	18	soft	soft	ADJ
ejpam-6225	45	19	sets	set	NOUN
ejpam-6225	45	20	[	[	X
ejpam-6225	45	21	28	28	NUM
ejpam-6225	45	22	]	]	PUNCT
ejpam-6225	45	23	,	,	PUNCT
ejpam-6225	45	24	multi	multi	ADJ
ejpam-6225	45	25	-	-	ADJ
ejpam-6225	45	26	fuzzy	fuzzy	ADJ
ejpam-6225	45	27	bipolar	bipolar	ADJ
ejpam-6225	45	28	soft	soft	ADJ
ejpam-6225	45	29	sets	set	NOUN
ejpam-6225	45	30	[	[	X
ejpam-6225	45	31	29	29	NUM
ejpam-6225	45	32	]	]	PUNCT
ejpam-6225	45	33	,	,	PUNCT
ejpam-6225	45	34	bipolar	bipolar	ADJ
ejpam-6225	45	35	fuzzy	fuzzy	ADJ
ejpam-6225	45	36	soft	soft	ADJ
ejpam-6225	45	37	graphs	graph	NOUN
ejpam-6225	46	1	[	[	X
ejpam-6225	46	2	30	30	NUM
ejpam-6225	46	3	]	]	PUNCT
ejpam-6225	46	4	,	,	PUNCT
ejpam-6225	46	5	bipolar	bipolar	ADJ
ejpam-6225	46	6	fuzzy	fuzzy	ADJ
ejpam-6225	46	7	soft	soft	ADJ
ejpam-6225	46	8	expert	expert	NOUN
ejpam-6225	46	9	sets	set	NOUN
ejpam-6225	46	10	[	[	X
ejpam-6225	46	11	31	31	NUM
ejpam-6225	46	12	]	]	PUNCT
ejpam-6225	46	13	and	and	CCONJ
ejpam-6225	46	14	rough	rough	ADJ
ejpam-6225	46	15	fuzzy	fuzzy	ADJ
ejpam-6225	46	16	bipolar	bipolar	ADJ
ejpam-6225	46	17	soft	soft	ADJ
ejpam-6225	46	18	sets	set	NOUN
ejpam-6225	46	19	[	[	X
ejpam-6225	46	20	32	32	NUM
ejpam-6225	46	21	]	]	PUNCT
ejpam-6225	46	22	are	be	AUX
ejpam-6225	46	23	some	some	DET
ejpam-6225	46	24	ways	way	NOUN
ejpam-6225	46	25	that	that	PRON
ejpam-6225	46	26	scholars	scholar	NOUN
ejpam-6225	46	27	have	have	AUX
ejpam-6225	46	28	generalized	generalize	VERB
ejpam-6225	46	29	.	.	PUNCT
ejpam-6225	47	1	these	these	DET
ejpam-6225	47	2	advancements	advancement	NOUN
ejpam-6225	47	3	have	have	AUX
ejpam-6225	47	4	opened	open	VERB
ejpam-6225	47	5	new	new	ADJ
ejpam-6225	47	6	avenues	avenue	NOUN
ejpam-6225	47	7	for	for	ADP
ejpam-6225	47	8	addressing	address	VERB
ejpam-6225	47	9	decision	decision	NOUN
ejpam-6225	47	10	-	-	PUNCT
ejpam-6225	47	11	making	make	VERB
ejpam-6225	47	12	challenges	challenge	NOUN
ejpam-6225	47	13	.	.	PUNCT
ejpam-6225	48	1	the	the	DET
ejpam-6225	48	2	motivations	motivation	NOUN
ejpam-6225	48	3	of	of	ADP
ejpam-6225	48	4	this	this	DET
ejpam-6225	48	5	paper	paper	NOUN
ejpam-6225	48	6	introduces	introduce	VERB
ejpam-6225	48	7	an	an	DET
ejpam-6225	48	8	innovative	innovative	ADJ
ejpam-6225	48	9	approach	approach	NOUN
ejpam-6225	48	10	for	for	ADP
ejpam-6225	48	11	refining	refining	NOUN
ejpam-6225	48	12	and	and	CCONJ
ejpam-6225	48	13	extending	extend	VERB
ejpam-6225	48	14	bipolar	bipolar	ADJ
ejpam-6225	48	15	soft	soft	ADJ
ejpam-6225	48	16	rough	rough	ADJ
ejpam-6225	48	17	sets	set	NOUN
ejpam-6225	48	18	by	by	ADP
ejpam-6225	48	19	leveraging	leverage	VERB
ejpam-6225	48	20	the	the	DET
ejpam-6225	48	21	concept	concept	NOUN
ejpam-6225	48	22	of	of	ADP
ejpam-6225	48	23	ideals	ideal	NOUN
ejpam-6225	48	24	.	.	PUNCT
ejpam-6225	49	1	this	this	DET
ejpam-6225	49	2	novel	novel	ADJ
ejpam-6225	49	3	framework	framework	NOUN
ejpam-6225	49	4	builds	build	VERB
ejpam-6225	49	5	on	on	ADP
ejpam-6225	49	6	and	and	CCONJ
ejpam-6225	49	7	enhances	enhance	VERB
ejpam-6225	49	8	existing	exist	VERB
ejpam-6225	49	9	methodologies	methodology	NOUN
ejpam-6225	49	10	[	[	X
ejpam-6225	49	11	33	33	NUM
ejpam-6225	49	12	]	]	PUNCT
ejpam-6225	49	13	,	,	PUNCT
ejpam-6225	49	14	[	[	X
ejpam-6225	49	15	34	34	NUM
ejpam-6225	49	16	]	]	PUNCT
ejpam-6225	49	17	and	and	CCONJ
ejpam-6225	49	18	[	[	X
ejpam-6225	49	19	35	35	NUM
ejpam-6225	49	20	]	]	PUNCT
ejpam-6225	49	21	by	by	ADP
ejpam-6225	49	22	presenting	present	VERB
ejpam-6225	49	23	two	two	NUM
ejpam-6225	49	24	types	type	NOUN
ejpam-6225	49	25	of	of	ADP
ejpam-6225	49	26	ideal	ideal	ADJ
ejpam-6225	49	27	bipolar	bipolar	ADJ
ejpam-6225	49	28	soft	soft	ADJ
ejpam-6225	49	29	rough	rough	ADJ
ejpam-6225	49	30	approximation	approximation	NOUN
ejpam-6225	49	31	operators	operator	NOUN
ejpam-6225	49	32	.	.	PUNCT
ejpam-6225	50	1	these	these	DET
ejpam-6225	50	2	operators	operator	NOUN
ejpam-6225	50	3	generalize	generalize	VERB
ejpam-6225	50	4	traditional	traditional	ADJ
ejpam-6225	50	5	bipolar	bipolar	ADJ
ejpam-6225	50	6	soft	soft	ADJ
ejpam-6225	50	7	rough	rough	ADJ
ejpam-6225	50	8	approximations	approximation	NOUN
ejpam-6225	50	9	,	,	PUNCT
ejpam-6225	50	10	providing	provide	VERB
ejpam-6225	50	11	greater	great	ADJ
ejpam-6225	50	12	accuracy	accuracy	NOUN
ejpam-6225	50	13	and	and	CCONJ
ejpam-6225	50	14	effectiveness	effectiveness	NOUN
ejpam-6225	50	15	in	in	ADP
ejpam-6225	50	16	addressing	address	VERB
ejpam-6225	50	17	uncertainty	uncertainty	NOUN
ejpam-6225	50	18	and	and	CCONJ
ejpam-6225	50	19	vagueness	vagueness	NOUN
ejpam-6225	50	20	in	in	ADP
ejpam-6225	50	21	data	data	PROPN
ejpam-6225	50	22	.	.	PUNCT
ejpam-6225	51	1	the	the	DET
ejpam-6225	51	2	main	main	ADJ
ejpam-6225	51	3	properties	property	NOUN
ejpam-6225	51	4	of	of	ADP
ejpam-6225	51	5	the	the	DET
ejpam-6225	51	6	presented	present	VERB
ejpam-6225	51	7	technique	technique	NOUN
ejpam-6225	51	8	are	be	AUX
ejpam-6225	51	9	shown	show	VERB
ejpam-6225	51	10	and	and	CCONJ
ejpam-6225	51	11	many	many	ADJ
ejpam-6225	51	12	comparisons	comparison	NOUN
ejpam-6225	51	13	between	between	ADP
ejpam-6225	51	14	our	our	PRON
ejpam-6225	51	15	techniques	technique	NOUN
ejpam-6225	51	16	and	and	CCONJ
ejpam-6225	51	17	the	the	DET
ejpam-6225	51	18	previous	previous	ADJ
ejpam-6225	51	19	ones	one	NOUN
ejpam-6225	51	20	are	be	AUX
ejpam-6225	51	21	proposed	propose	VERB
ejpam-6225	51	22	.	.	PUNCT
ejpam-6225	52	1	the	the	DET
ejpam-6225	52	2	bipolar	bipolar	ADJ
ejpam-6225	52	3	soft	soft	ADJ
ejpam-6225	52	4	rough	rough	ADJ
ejpam-6225	52	5	approximations	approximation	NOUN
ejpam-6225	52	6	[	[	X
ejpam-6225	52	7	34	34	NUM
ejpam-6225	52	8	]	]	PUNCT
ejpam-6225	52	9	are	be	AUX
ejpam-6225	52	10	special	special	ADJ
ejpam-6225	52	11	cases	case	NOUN
ejpam-6225	52	12	of	of	ADP
ejpam-6225	52	13	the	the	DET
ejpam-6225	52	14	presented	present	VERB
ejpam-6225	52	15	ideal	ideal	ADJ
ejpam-6225	52	16	bipolar	bipolar	ADJ
ejpam-6225	52	17	sas	sa	NOUN
ejpam-6225	52	18	.	.	PUNCT
ejpam-6225	53	1	also	also	ADV
ejpam-6225	53	2	,	,	PUNCT
ejpam-6225	53	3	we	we	PRON
ejpam-6225	53	4	discusses	discuss	VERB
ejpam-6225	53	5	the	the	DET
ejpam-6225	53	6	ideal	ideal	ADJ
ejpam-6225	53	7	bipolar	bipolar	ADJ
ejpam-6225	53	8	sa	sa	NOUN
ejpam-6225	53	9	-	-	PUNCT
ejpam-6225	53	10	related	relate	VERB
ejpam-6225	53	11	measures	measure	NOUN
ejpam-6225	53	12	.	.	PUNCT
ejpam-6225	54	1	the	the	DET
ejpam-6225	54	2	proposed	propose	VERB
ejpam-6225	54	3	approximations	approximation	NOUN
ejpam-6225	54	4	utilizing	utilize	VERB
ejpam-6225	54	5	ideals	ideal	NOUN
ejpam-6225	54	6	are	be	AUX
ejpam-6225	54	7	more	more	ADV
ejpam-6225	54	8	accurate	accurate	ADJ
ejpam-6225	54	9	than	than	ADP
ejpam-6225	54	10	[	[	X
ejpam-6225	54	11	33	33	NUM
ejpam-6225	54	12	]	]	PUNCT
ejpam-6225	54	13	,	,	PUNCT
ejpam-6225	54	14	[	[	X
ejpam-6225	54	15	34	34	NUM
ejpam-6225	54	16	]	]	PUNCT
ejpam-6225	54	17	and	and	CCONJ
ejpam-6225	54	18	[	[	X
ejpam-6225	54	19	35	35	NUM
ejpam-6225	54	20	]	]	SYM
ejpam-6225	54	21	.	.	PUNCT
ejpam-6225	55	1	therefore	therefore	ADV
ejpam-6225	55	2	,	,	PUNCT
ejpam-6225	55	3	the	the	DET
ejpam-6225	55	4	proposed	propose	VERB
ejpam-6225	55	5	techniques	technique	NOUN
ejpam-6225	55	6	are	be	AUX
ejpam-6225	55	7	very	very	ADV
ejpam-6225	55	8	useful	useful	ADJ
ejpam-6225	55	9	in	in	ADP
ejpam-6225	55	10	real	real	ADJ
ejpam-6225	55	11	life	life	NOUN
ejpam-6225	55	12	applications	application	NOUN
ejpam-6225	55	13	representing	represent	VERB
ejpam-6225	55	14	and	and	CCONJ
ejpam-6225	55	15	discussing	discuss	VERB
ejpam-6225	55	16	the	the	DET
ejpam-6225	55	17	vagueness	vagueness	NOUN
ejpam-6225	55	18	of	of	ADP
ejpam-6225	55	19	data	datum	NOUN
ejpam-6225	55	20	.	.	PUNCT
ejpam-6225	56	1	additionally	additionally	ADV
ejpam-6225	56	2	,	,	PUNCT
ejpam-6225	56	3	bipolar	bipolar	ADJ
ejpam-6225	56	4	soft	soft	ADJ
ejpam-6225	56	5	bi	bi	ADJ
ejpam-6225	56	6	-	-	ADJ
ejpam-6225	56	7	ideal	ideal	ADJ
ejpam-6225	56	8	approximation	approximation	NOUN
ejpam-6225	56	9	spaces	space	NOUN
ejpam-6225	56	10	,	,	PUNCT
ejpam-6225	56	11	which	which	PRON
ejpam-6225	56	12	are	be	AUX
ejpam-6225	56	13	new	new	ADJ
ejpam-6225	56	14	bipolar	bipolar	ADJ
ejpam-6225	56	15	sa	sa	NOUN
ejpam-6225	56	16	spaces	space	NOUN
ejpam-6225	56	17	created	create	VERB
ejpam-6225	56	18	using	use	VERB
ejpam-6225	56	19	two	two	NUM
ejpam-6225	56	20	ideals	ideal	NOUN
ejpam-6225	56	21	,	,	PUNCT
ejpam-6225	56	22	are	be	AUX
ejpam-6225	56	23	introduced	introduce	VERB
ejpam-6225	56	24	.	.	PUNCT
ejpam-6225	57	1	two	two	NUM
ejpam-6225	57	2	distinct	distinct	ADJ
ejpam-6225	57	3	techniques	technique	NOUN
ejpam-6225	57	4	are	be	AUX
ejpam-6225	57	5	described	describe	VERB
ejpam-6225	57	6	for	for	ADP
ejpam-6225	57	7	these	these	DET
ejpam-6225	57	8	approximations	approximation	NOUN
ejpam-6225	57	9	.	.	PUNCT
ejpam-6225	58	1	the	the	DET
ejpam-6225	58	2	key	key	ADJ
ejpam-6225	58	3	contributions	contribution	NOUN
ejpam-6225	58	4	of	of	ADP
ejpam-6225	58	5	this	this	DET
ejpam-6225	58	6	study	study	NOUN
ejpam-6225	58	7	include	include	VERB
ejpam-6225	58	8	the	the	DET
ejpam-6225	58	9	introduction	introduction	NOUN
ejpam-6225	58	10	of	of	ADP
ejpam-6225	58	11	bipolar	bipolar	ADJ
ejpam-6225	58	12	soft	soft	ADJ
ejpam-6225	58	13	bi	bi	ADJ
ejpam-6225	58	14	-	-	ADJ
ejpam-6225	58	15	ideal	ideal	ADJ
ejpam-6225	58	16	approximation	approximation	NOUN
ejpam-6225	58	17	spaces	space	NOUN
ejpam-6225	58	18	,	,	PUNCT
ejpam-6225	58	19	which	which	PRON
ejpam-6225	58	20	employ	employ	VERB
ejpam-6225	58	21	two	two	NUM
ejpam-6225	58	22	ideals	ideal	NOUN
ejpam-6225	58	23	to	to	PART
ejpam-6225	58	24	construct	construct	VERB
ejpam-6225	58	25	advanced	advanced	ADJ
ejpam-6225	58	26	approximation	approximation	NOUN
ejpam-6225	58	27	spaces	space	NOUN
ejpam-6225	58	28	.	.	PUNCT
ejpam-6225	59	1	these	these	DET
ejpam-6225	59	2	spaces	space	NOUN
ejpam-6225	59	3	represent	represent	VERB
ejpam-6225	59	4	a	a	DET
ejpam-6225	59	5	significant	significant	ADJ
ejpam-6225	59	6	step	step	NOUN
ejpam-6225	59	7	forward	forward	ADV
ejpam-6225	59	8	in	in	ADP
ejpam-6225	59	9	capturing	capture	VERB
ejpam-6225	59	10	the	the	DET
ejpam-6225	59	11	dual	dual	ADJ
ejpam-6225	59	12	characteristics	characteristic	NOUN
ejpam-6225	59	13	of	of	ADP
ejpam-6225	59	14	datasets	dataset	NOUN
ejpam-6225	59	15	.	.	PUNCT
ejpam-6225	60	1	two	two	NUM
ejpam-6225	60	2	distinct	distinct	ADJ
ejpam-6225	60	3	methods	method	NOUN
ejpam-6225	60	4	for	for	ADP
ejpam-6225	60	5	constructing	construct	VERB
ejpam-6225	60	6	these	these	DET
ejpam-6225	60	7	spaces	space	NOUN
ejpam-6225	60	8	are	be	AUX
ejpam-6225	60	9	detailed	detail	VERB
ejpam-6225	60	10	,	,	PUNCT
ejpam-6225	60	11	offering	offer	VERB
ejpam-6225	60	12	new	new	ADJ
ejpam-6225	60	13	tools	tool	NOUN
ejpam-6225	60	14	for	for	ADP
ejpam-6225	60	15	data	datum	NOUN
ejpam-6225	60	16	analysis	analysis	NOUN
ejpam-6225	60	17	and	and	CCONJ
ejpam-6225	60	18	decision	decision	NOUN
ejpam-6225	60	19	-	-	PUNCT
ejpam-6225	60	20	making	making	NOUN
ejpam-6225	60	21	.	.	PUNCT
ejpam-6225	61	1	to	to	PART
ejpam-6225	61	2	demonstrate	demonstrate	VERB
ejpam-6225	61	3	the	the	DET
ejpam-6225	61	4	practical	practical	ADJ
ejpam-6225	61	5	utility	utility	NOUN
ejpam-6225	61	6	of	of	ADP
ejpam-6225	61	7	that	that	DET
ejpam-6225	61	8	proposed	propose	VERB
ejpam-6225	61	9	framework	framework	NOUN
ejpam-6225	61	10	,	,	PUNCT
ejpam-6225	61	11	the	the	DET
ejpam-6225	61	12	study	study	NOUN
ejpam-6225	61	13	applies	apply	VERB
ejpam-6225	61	14	these	these	DET
ejpam-6225	61	15	techd	techd	NOUN
ejpam-6225	61	16	.	.	PUNCT
ejpam-6225	62	1	shi	shi	PROPN
ejpam-6225	62	2	et	et	PROPN
ejpam-6225	62	3	al	al	PROPN
ejpam-6225	62	4	.	.	PUNCT
ejpam-6225	62	5	/	/	SYM
ejpam-6225	62	6	eur	eur	PROPN
ejpam-6225	62	7	.	.	PUNCT
ejpam-6225	63	1	j.	j.	PROPN
ejpam-6225	63	2	pure	pure	PROPN
ejpam-6225	63	3	appl	appl	PROPN
ejpam-6225	63	4	.	.	PROPN
ejpam-6225	63	5	math	math	PROPN
ejpam-6225	63	6	,	,	PUNCT
ejpam-6225	63	7	18	18	NUM
ejpam-6225	63	8	(	(	PUNCT
ejpam-6225	63	9	4	4	NUM
ejpam-6225	63	10	)	)	PUNCT
ejpam-6225	63	11	(	(	PUNCT
ejpam-6225	63	12	2025	2025	NUM
ejpam-6225	63	13	)	)	PUNCT
ejpam-6225	63	14	,	,	PUNCT
ejpam-6225	63	15	6225	6225	NUM
ejpam-6225	63	16	3	3	NUM
ejpam-6225	63	17	of	of	ADP
ejpam-6225	63	18	36	36	NUM
ejpam-6225	63	19	niques	nique	NOUN
ejpam-6225	63	20	to	to	ADP
ejpam-6225	63	21	multi	multi	ADJ
ejpam-6225	63	22	-	-	ADJ
ejpam-6225	63	23	attribute	attribute	NOUN
ejpam-6225	63	24	group	group	NOUN
ejpam-6225	63	25	decision	decision	NOUN
ejpam-6225	63	26	-	-	PUNCT
ejpam-6225	63	27	making	make	VERB
ejpam-6225	63	28	(	(	PUNCT
ejpam-6225	63	29	magdm	magdm	NOUN
ejpam-6225	63	30	)	)	PUNCT
ejpam-6225	63	31	problems	problem	NOUN
ejpam-6225	63	32	.	.	PUNCT
ejpam-6225	64	1	a	a	DET
ejpam-6225	64	2	novel	novel	ADJ
ejpam-6225	64	3	algorithm	algorithm	NOUN
ejpam-6225	64	4	is	be	AUX
ejpam-6225	64	5	presented	present	VERB
ejpam-6225	64	6	to	to	PART
ejpam-6225	64	7	facilitate	facilitate	VERB
ejpam-6225	64	8	the	the	DET
ejpam-6225	64	9	selection	selection	NOUN
ejpam-6225	64	10	of	of	ADP
ejpam-6225	64	11	optimal	optimal	ADJ
ejpam-6225	64	12	alternatives	alternative	NOUN
ejpam-6225	64	13	,	,	PUNCT
ejpam-6225	64	14	supported	support	VERB
ejpam-6225	64	15	by	by	ADP
ejpam-6225	64	16	a	a	DET
ejpam-6225	64	17	comprehensive	comprehensive	ADJ
ejpam-6225	64	18	example	example	NOUN
ejpam-6225	64	19	illustrating	illustrate	VERB
ejpam-6225	64	20	its	its	PRON
ejpam-6225	64	21	effectiveness	effectiveness	NOUN
ejpam-6225	64	22	.	.	PUNCT
ejpam-6225	65	1	the	the	DET
ejpam-6225	65	2	reliability	reliability	NOUN
ejpam-6225	65	3	,	,	PUNCT
ejpam-6225	65	4	adaptability	adaptability	NOUN
ejpam-6225	65	5	,	,	PUNCT
ejpam-6225	65	6	and	and	CCONJ
ejpam-6225	65	7	superiority	superiority	NOUN
ejpam-6225	65	8	of	of	ADP
ejpam-6225	65	9	the	the	DET
ejpam-6225	65	10	proposed	propose	VERB
ejpam-6225	65	11	methods	method	NOUN
ejpam-6225	65	12	are	be	AUX
ejpam-6225	65	13	further	far	ADV
ejpam-6225	65	14	validated	validate	VERB
ejpam-6225	65	15	through	through	ADP
ejpam-6225	65	16	a	a	DET
ejpam-6225	65	17	comparative	comparative	ADJ
ejpam-6225	65	18	analysis	analysis	NOUN
ejpam-6225	65	19	with	with	ADP
ejpam-6225	65	20	existing	exist	VERB
ejpam-6225	65	21	decision	decision	NOUN
ejpam-6225	65	22	-	-	PUNCT
ejpam-6225	65	23	making	make	VERB
ejpam-6225	65	24	techniques	technique	NOUN
ejpam-6225	65	25	,	,	PUNCT
ejpam-6225	65	26	emphasizing	emphasize	VERB
ejpam-6225	65	27	their	their	PRON
ejpam-6225	65	28	potential	potential	NOUN
ejpam-6225	65	29	to	to	PART
ejpam-6225	65	30	address	address	VERB
ejpam-6225	65	31	complex	complex	ADJ
ejpam-6225	65	32	real	real	ADJ
ejpam-6225	65	33	-	-	PUNCT
ejpam-6225	65	34	world	world	NOUN
ejpam-6225	65	35	problems	problem	NOUN
ejpam-6225	65	36	.	.	PUNCT
ejpam-6225	66	1	2	2	X
ejpam-6225	66	2	.	.	X
ejpam-6225	66	3	preliminaries	preliminary	NOUN
ejpam-6225	66	4	the	the	DET
ejpam-6225	66	5	main	main	ADJ
ejpam-6225	66	6	ideas	idea	NOUN
ejpam-6225	66	7	employed	employ	VERB
ejpam-6225	66	8	in	in	ADP
ejpam-6225	66	9	this	this	DET
ejpam-6225	66	10	study	study	NOUN
ejpam-6225	66	11	are	be	AUX
ejpam-6225	66	12	reviewed	review	VERB
ejpam-6225	66	13	in	in	ADP
ejpam-6225	66	14	this	this	DET
ejpam-6225	66	15	section	section	NOUN
ejpam-6225	66	16	.	.	PUNCT
ejpam-6225	67	1	in	in	ADP
ejpam-6225	67	2	the	the	DET
ejpam-6225	67	3	paper	paper	NOUN
ejpam-6225	67	4	,	,	PUNCT
ejpam-6225	67	5	the	the	DET
ejpam-6225	67	6	universal	universal	ADJ
ejpam-6225	67	7	set	set	NOUN
ejpam-6225	67	8	,	,	PUNCT
ejpam-6225	67	9	the	the	DET
ejpam-6225	67	10	parameter	parameter	NOUN
ejpam-6225	67	11	set	set	NOUN
ejpam-6225	67	12	,	,	PUNCT
ejpam-6225	67	13	and	and	CCONJ
ejpam-6225	67	14	the	the	DET
ejpam-6225	67	15	power	power	NOUN
ejpam-6225	67	16	set	set	NOUN
ejpam-6225	67	17	are	be	AUX
ejpam-6225	67	18	denoted	denote	VERB
ejpam-6225	67	19	by	by	ADP
ejpam-6225	67	20	q	q	NOUN
ejpam-6225	67	21	,	,	PUNCT
ejpam-6225	67	22	℘	℘	PROPN
ejpam-6225	67	23	and	and	CCONJ
ejpam-6225	67	24	2q	2q	NUM
ejpam-6225	67	25	,	,	PUNCT
ejpam-6225	67	26	respectively	respectively	ADV
ejpam-6225	67	27	.	.	PUNCT
ejpam-6225	68	1	definition	definition	NOUN
ejpam-6225	68	2	2.1	2.1	NUM
ejpam-6225	68	3	.	.	PUNCT
ejpam-6225	69	1	[	[	X
ejpam-6225	69	2	1	1	X
ejpam-6225	69	3	]	]	X
ejpam-6225	69	4	if	if	SCONJ
ejpam-6225	69	5	q	q	NOUN
ejpam-6225	69	6	is	be	AUX
ejpam-6225	69	7	a	a	DET
ejpam-6225	69	8	universal	universal	ADJ
ejpam-6225	69	9	set	set	NOUN
ejpam-6225	69	10	of	of	ADP
ejpam-6225	69	11	objects	object	NOUN
ejpam-6225	69	12	,	,	PUNCT
ejpam-6225	69	13	r	r	NOUN
ejpam-6225	69	14	is	be	AUX
ejpam-6225	69	15	an	an	DET
ejpam-6225	69	16	equivalence	equivalence	NOUN
ejpam-6225	69	17	relation	relation	NOUN
ejpam-6225	69	18	on	on	ADP
ejpam-6225	69	19	q	q	NOUN
ejpam-6225	69	20	,	,	PUNCT
ejpam-6225	69	21	and	and	CCONJ
ejpam-6225	69	22	r[ג	r[ג	X
ejpam-6225	69	23	]	]	PUNCT
ejpam-6225	69	24	is	be	AUX
ejpam-6225	69	25	the	the	DET
ejpam-6225	69	26	equivalence	equivalence	NOUN
ejpam-6225	69	27	class	class	NOUN
ejpam-6225	69	28	containing	contain	VERB
ejpam-6225	69	29	.ג	.ג	NOUN
ejpam-6225	69	30	then	then	ADV
ejpam-6225	69	31	,	,	PUNCT
ejpam-6225	69	32	for	for	ADP
ejpam-6225	69	33	any	any	DET
ejpam-6225	69	34	=	=	SYM
ejpam-6225	69	35	⊆	⊆	NUM
ejpam-6225	69	36	q	q	NOUN
ejpam-6225	69	37	,	,	PUNCT
ejpam-6225	69	38	the	the	PRON
ejpam-6225	69	39	lower	low	ADJ
ejpam-6225	69	40	,	,	PUNCT
ejpam-6225	69	41	uas	uas	PROPN
ejpam-6225	69	42	and	and	CCONJ
ejpam-6225	69	43	the	the	DET
ejpam-6225	69	44	br	br	NOUN
ejpam-6225	69	45	of	of	ADP
ejpam-6225	69	46	=	=	PUNCT
ejpam-6225	69	47	are	be	AUX
ejpam-6225	69	48	defined	define	VERB
ejpam-6225	69	49	respectively	respectively	ADV
ejpam-6225	69	50	by	by	ADP
ejpam-6225	69	51	:	:	PUNCT
ejpam-6225	69	52	lower(=	lower(=	NUM
ejpam-6225	69	53	)	)	PUNCT
ejpam-6225	69	54	=	=	SYM
ejpam-6225	69	55	ג	ג	X
ejpam-6225	69	56	}	}	PUNCT
ejpam-6225	69	57	∈	∈	NOUN
ejpam-6225	69	58	q	q	NOUN
ejpam-6225	69	59	:	:	PUNCT
ejpam-6225	69	60	r[ג	r[ג	X
ejpam-6225	69	61	]	]	PUNCT
ejpam-6225	69	62	⊆	⊆	NUM
ejpam-6225	69	63	=	=	SYM
ejpam-6225	69	64	}	}	PUNCT
ejpam-6225	69	65	,	,	PUNCT
ejpam-6225	69	66	upper(=	upper(=	NUM
ejpam-6225	69	67	)	)	PUNCT
ejpam-6225	69	68	=	=	SYM
ejpam-6225	69	69	ג	ג	X
ejpam-6225	69	70	}	}	PUNCT
ejpam-6225	69	71	∈	∈	NOUN
ejpam-6225	69	72	q	q	NOUN
ejpam-6225	69	73	:	:	PUNCT
ejpam-6225	69	74	r[ג	r[ג	X
ejpam-6225	69	75	]	]	X
ejpam-6225	69	76	∩	∩	X
ejpam-6225	69	77	=	=	SYM
ejpam-6225	69	78	6=	6=	NUM
ejpam-6225	69	79	∅	∅	NOUN
ejpam-6225	69	80	}	}	PUNCT
ejpam-6225	69	81	,	,	PUNCT
ejpam-6225	69	82	bnd(=	bnd(=	NOUN
ejpam-6225	69	83	)	)	PUNCT
ejpam-6225	69	84	=	=	PUNCT
ejpam-6225	70	1	upper(=	upper(=	NUM
ejpam-6225	70	2	)	)	PUNCT
ejpam-6225	70	3	−	−	ADP
ejpam-6225	71	1	lower(=	lower(=	ADJ
ejpam-6225	71	2	)	)	PUNCT
ejpam-6225	71	3	.	.	PUNCT
ejpam-6225	72	1	definition	definition	NOUN
ejpam-6225	72	2	2.2	2.2	NUM
ejpam-6225	72	3	.	.	PUNCT
ejpam-6225	73	1	[	[	X
ejpam-6225	73	2	3	3	X
ejpam-6225	73	3	]	]	PUNCT
ejpam-6225	73	4	a	a	DET
ejpam-6225	73	5	soft	soft	ADJ
ejpam-6225	73	6	set	set	NOUN
ejpam-6225	73	7	over	over	ADP
ejpam-6225	73	8	q	q	NOUN
ejpam-6225	73	9	is	be	AUX
ejpam-6225	73	10	a	a	DET
ejpam-6225	73	11	pair	pair	NOUN
ejpam-6225	73	12	(	(	PUNCT
ejpam-6225	73	13	f	f	X
ejpam-6225	73	14	,	,	PUNCT
ejpam-6225	73	15	℘	℘	PROPN
ejpam-6225	73	16	)	)	PUNCT
ejpam-6225	73	17	where	where	SCONJ
ejpam-6225	73	18	f	f	NOUN
ejpam-6225	73	19	:	:	PUNCT
ejpam-6225	73	20	℘	℘	VERB
ejpam-6225	73	21	−→	−→	NOUN
ejpam-6225	73	22	2q	2q	NOUN
ejpam-6225	73	23	.	.	PUNCT
ejpam-6225	74	1	consequently	consequently	ADV
ejpam-6225	74	2	,	,	PUNCT
ejpam-6225	74	3	a	a	DET
ejpam-6225	74	4	parameterised	parameterise	VERB
ejpam-6225	74	5	collection	collection	NOUN
ejpam-6225	74	6	of	of	ADP
ejpam-6225	74	7	subsets	subset	NOUN
ejpam-6225	74	8	of	of	ADP
ejpam-6225	74	9	q	q	NOUN
ejpam-6225	74	10	is	be	AUX
ejpam-6225	74	11	provided	provide	VERB
ejpam-6225	74	12	by	by	ADP
ejpam-6225	74	13	a	a	DET
ejpam-6225	74	14	soft	soft	ADJ
ejpam-6225	74	15	set	set	NOUN
ejpam-6225	74	16	over	over	ADP
ejpam-6225	74	17	q.	q.	NOUN
ejpam-6225	74	18	definition	definition	NOUN
ejpam-6225	74	19	2.3	2.3	NUM
ejpam-6225	74	20	.	.	PUNCT
ejpam-6225	75	1	[	[	X
ejpam-6225	75	2	13	13	NUM
ejpam-6225	75	3	]	]	PUNCT
ejpam-6225	75	4	let	let	AUX
ejpam-6225	75	5	(	(	PUNCT
ejpam-6225	75	6	f	f	X
ejpam-6225	75	7	,	,	PUNCT
ejpam-6225	75	8	℘	℘	PROPN
ejpam-6225	75	9	)	)	PUNCT
ejpam-6225	75	10	be	be	AUX
ejpam-6225	75	11	a	a	DET
ejpam-6225	75	12	soft	soft	ADJ
ejpam-6225	75	13	set	set	NOUN
ejpam-6225	75	14	over	over	ADP
ejpam-6225	75	15	q.	q.	PROPN
ejpam-6225	75	16	if	if	SCONJ
ejpam-6225	75	17	for	for	ADP
ejpam-6225	75	18	any	any	DET
ejpam-6225	75	19	ς1	ς1	NOUN
ejpam-6225	75	20	,	,	PUNCT
ejpam-6225	75	21	ς2	ς2	PROPN
ejpam-6225	75	22	∈	∈	PROPN
ejpam-6225	75	23	℘	℘	PROPN
ejpam-6225	75	24	,	,	PUNCT
ejpam-6225	75	25	there	there	PRON
ejpam-6225	75	26	is	be	VERB
ejpam-6225	75	27	ς3	ς3	NOUN
ejpam-6225	75	28	∈	∈	NOUN
ejpam-6225	75	29	℘	℘	PROPN
ejpam-6225	75	30	such	such	ADJ
ejpam-6225	75	31	that	that	DET
ejpam-6225	75	32	f(ς3	f(ς3	NOUN
ejpam-6225	75	33	)	)	PUNCT
ejpam-6225	75	34	=	=	SYM
ejpam-6225	75	35	f(ς1	f(ς1	NOUN
ejpam-6225	75	36	)	)	PUNCT
ejpam-6225	75	37	∩	∩	NOUN
ejpam-6225	75	38	f(ς2	f(ς2	NOUN
ejpam-6225	75	39	)	)	PUNCT
ejpam-6225	75	40	whenever	whenever	SCONJ
ejpam-6225	75	41	f(ς1	f(ς1	NOUN
ejpam-6225	75	42	)	)	PUNCT
ejpam-6225	75	43	∩	∩	NOUN
ejpam-6225	75	44	f(ς2	f(ς2	NOUN
ejpam-6225	75	45	)	)	PUNCT
ejpam-6225	75	46	6=	6=	ADP
ejpam-6225	75	47	∅	∅	NOUN
ejpam-6225	75	48	,	,	PUNCT
ejpam-6225	75	49	then	then	ADV
ejpam-6225	75	50	(	(	PUNCT
ejpam-6225	75	51	f	f	X
ejpam-6225	75	52	,	,	PUNCT
ejpam-6225	75	53	℘	℘	PROPN
ejpam-6225	75	54	)	)	PUNCT
ejpam-6225	75	55	is	be	AUX
ejpam-6225	75	56	called	call	VERB
ejpam-6225	75	57	an	an	DET
ejpam-6225	75	58	intersection	intersection	NOUN
ejpam-6225	75	59	complete	complete	ADJ
ejpam-6225	75	60	soft	soft	ADJ
ejpam-6225	75	61	set	set	NOUN
ejpam-6225	75	62	.	.	PUNCT
ejpam-6225	76	1	definition	definition	NOUN
ejpam-6225	76	2	2.4	2.4	NUM
ejpam-6225	76	3	.	.	PUNCT
ejpam-6225	77	1	[	[	X
ejpam-6225	77	2	21	21	NUM
ejpam-6225	77	3	]	]	PUNCT
ejpam-6225	77	4	let	let	VERB
ejpam-6225	77	5	℘	℘	PROPN
ejpam-6225	77	6	=	=	SYM
ejpam-6225	77	7	{	{	PUNCT
ejpam-6225	77	8	ς1	ς1	NOUN
ejpam-6225	77	9	,	,	PUNCT
ejpam-6225	77	10	ς2	ς2	PROPN
ejpam-6225	77	11	,	,	PUNCT
ejpam-6225	77	12	ς3	ς3	NOUN
ejpam-6225	77	13	,	,	PUNCT
ejpam-6225	77	14	....	....	PUNCT
ejpam-6225	77	15	,	,	PUNCT
ejpam-6225	77	16	ςn	ςn	AUX
ejpam-6225	77	17	}	}	PUNCT
ejpam-6225	77	18	be	be	AUX
ejpam-6225	77	19	the	the	DET
ejpam-6225	77	20	set	set	NOUN
ejpam-6225	77	21	of	of	ADP
ejpam-6225	77	22	parameters	parameter	NOUN
ejpam-6225	77	23	,	,	PUNCT
ejpam-6225	77	24	and	and	CCONJ
ejpam-6225	77	25	the	the	DET
ejpam-6225	77	26	not	not	PART
ejpam-6225	77	27	set	set	NOUN
ejpam-6225	77	28	of	of	ADP
ejpam-6225	77	29	℘	℘	PROPN
ejpam-6225	77	30	is	be	AUX
ejpam-6225	77	31	defined	define	VERB
ejpam-6225	77	32	by	by	ADP
ejpam-6225	77	33	ℵ	ℵ	NOUN
ejpam-6225	77	34	=	=	SYM
ejpam-6225	77	35	{	{	PUNCT
ejpam-6225	77	36	¬ς1	¬ς1	ADV
ejpam-6225	77	37	,	,	PUNCT
ejpam-6225	77	38	¬ς2	¬ς2	NOUN
ejpam-6225	77	39	,	,	PUNCT
ejpam-6225	77	40	¬ς3	¬ς3	NOUN
ejpam-6225	77	41	,	,	PUNCT
ejpam-6225	77	42	....	....	PUNCT
ejpam-6225	77	43	,	,	PUNCT
ejpam-6225	77	44	¬ςn	¬ςn	ADP
ejpam-6225	77	45	}	}	PUNCT
ejpam-6225	77	46	where	where	SCONJ
ejpam-6225	77	47	,	,	PUNCT
ejpam-6225	77	48	for	for	ADP
ejpam-6225	77	49	all	all	DET
ejpam-6225	77	50	i	i	PROPN
ejpam-6225	77	51	,	,	PUNCT
ejpam-6225	77	52	¬ςi	¬ςi	NOUN
ejpam-6225	77	53	=	=	SYM
ejpam-6225	77	54	not	not	PART
ejpam-6225	77	55	ςi	ςi	PROPN
ejpam-6225	77	56	.	.	PUNCT
ejpam-6225	78	1	the	the	DET
ejpam-6225	78	2	family	family	NOUN
ejpam-6225	78	3	of	of	ADP
ejpam-6225	78	4	all	all	DET
ejpam-6225	78	5	bipolar	bipolar	ADJ
ejpam-6225	78	6	soft	soft	ADJ
ejpam-6225	78	7	sets	set	NOUN
ejpam-6225	78	8	over	over	ADP
ejpam-6225	78	9	q	q	NOUN
ejpam-6225	78	10	will	will	AUX
ejpam-6225	78	11	be	be	AUX
ejpam-6225	78	12	denoted	denote	VERB
ejpam-6225	78	13	by	by	ADP
ejpam-6225	78	14	bssq	bssq	NOUN
ejpam-6225	78	15	.	.	PUNCT
ejpam-6225	79	1	definition	definition	NOUN
ejpam-6225	79	2	2.5	2.5	NUM
ejpam-6225	79	3	.	.	PUNCT
ejpam-6225	80	1	[	[	X
ejpam-6225	80	2	21	21	NUM
ejpam-6225	80	3	]	]	X
ejpam-6225	80	4	a	a	DET
ejpam-6225	80	5	bipolar	bipolar	ADJ
ejpam-6225	80	6	soft	soft	ADJ
ejpam-6225	80	7	set	set	NOUN
ejpam-6225	80	8	on	on	ADP
ejpam-6225	80	9	q	q	PROPN
ejpam-6225	80	10	is	be	AUX
ejpam-6225	80	11	an	an	DET
ejpam-6225	80	12	object	object	NOUN
ejpam-6225	80	13	of	of	ADP
ejpam-6225	80	14	form	form	NOUN
ejpam-6225	80	15	b	b	NOUN
ejpam-6225	80	16	=	=	SYM
ejpam-6225	80	17	(	(	PUNCT
ejpam-6225	80	18	f	f	X
ejpam-6225	80	19	,	,	PUNCT
ejpam-6225	80	20	g	g	NOUN
ejpam-6225	80	21	:	:	PUNCT
ejpam-6225	80	22	℘	℘	PROPN
ejpam-6225	80	23	)	)	PUNCT
ejpam-6225	80	24	where	where	SCONJ
ejpam-6225	80	25	f	f	NOUN
ejpam-6225	80	26	:	:	PUNCT
ejpam-6225	80	27	℘	℘	VERB
ejpam-6225	80	28	−→	−→	NOUN
ejpam-6225	80	29	2q	2q	NOUN
ejpam-6225	80	30	and	and	CCONJ
ejpam-6225	80	31	g	g	NOUN
ejpam-6225	80	32	:	:	PUNCT
ejpam-6225	80	33	℘	℘	VERB
ejpam-6225	80	34	−→	−→	NOUN
ejpam-6225	80	35	2q	2q	NOUN
ejpam-6225	80	36	with	with	ADP
ejpam-6225	80	37	the	the	DET
ejpam-6225	80	38	property	property	NOUN
ejpam-6225	80	39	that	that	PRON
ejpam-6225	80	40	for	for	ADP
ejpam-6225	80	41	each	each	DET
ejpam-6225	80	42	ς	ς	PROPN
ejpam-6225	80	43	∈	∈	PROPN
ejpam-6225	80	44	℘	℘	PROPN
ejpam-6225	80	45	,	,	PUNCT
ejpam-6225	80	46	we	we	PRON
ejpam-6225	80	47	have	have	VERB
ejpam-6225	80	48	f(ς	f(ς	NOUN
ejpam-6225	80	49	)	)	PUNCT
ejpam-6225	80	50	∩	∩	ADJ
ejpam-6225	80	51	g(¬ς	g(¬ς	NOUN
ejpam-6225	80	52	)	)	PUNCT
ejpam-6225	80	53	=	=	PUNCT
ejpam-6225	80	54	∅.	∅.	PRON
ejpam-6225	80	55	definition	definition	NOUN
ejpam-6225	80	56	2.6	2.6	NUM
ejpam-6225	80	57	.	.	PUNCT
ejpam-6225	81	1	[	[	X
ejpam-6225	81	2	15	15	NUM
ejpam-6225	81	3	]	]	X
ejpam-6225	81	4	a	a	DET
ejpam-6225	81	5	non	non	ADJ
ejpam-6225	81	6	-	-	ADJ
ejpam-6225	81	7	empty	empty	ADJ
ejpam-6225	81	8	family	family	NOUN
ejpam-6225	81	9	l	l	NOUN
ejpam-6225	81	10	of	of	ADP
ejpam-6225	81	11	subsets	subset	NOUN
ejpam-6225	81	12	of	of	ADP
ejpam-6225	81	13	q	q	NOUN
ejpam-6225	81	14	is	be	AUX
ejpam-6225	81	15	called	call	VERB
ejpam-6225	81	16	an	an	DET
ejpam-6225	81	17	ideal	ideal	NOUN
ejpam-6225	81	18	on	on	ADP
ejpam-6225	81	19	q	q	NOUN
ejpam-6225	81	20	if	if	SCONJ
ejpam-6225	81	21	it	it	PRON
ejpam-6225	81	22	fulfills	fulfill	VERB
ejpam-6225	81	23	these	these	DET
ejpam-6225	81	24	conditions	condition	NOUN
ejpam-6225	81	25	(	(	PUNCT
ejpam-6225	81	26	1	1	X
ejpam-6225	81	27	)	)	PUNCT
ejpam-6225	81	28	if	if	SCONJ
ejpam-6225	81	29	=	=	PUNCT
ejpam-6225	81	30	∈	∈	PROPN
ejpam-6225	81	31	l	l	NOUN
ejpam-6225	81	32	and	and	CCONJ
ejpam-6225	81	33	ϑ	ϑ	X
ejpam-6225	81	34	⊆	⊆	NUM
ejpam-6225	81	35	=	=	NOUN
ejpam-6225	81	36	,	,	PUNCT
ejpam-6225	81	37	then	then	ADV
ejpam-6225	81	38	ϑ	ϑ	PROPN
ejpam-6225	81	39	∈	∈	PROPN
ejpam-6225	81	40	l	l	NOUN
ejpam-6225	81	41	,	,	PUNCT
ejpam-6225	81	42	(	(	PUNCT
ejpam-6225	81	43	2	2	X
ejpam-6225	81	44	)	)	PUNCT
ejpam-6225	81	45	if	if	SCONJ
ejpam-6225	81	46	=	=	NOUN
ejpam-6225	81	47	,	,	PUNCT
ejpam-6225	81	48	ϑ	ϑ	X
ejpam-6225	81	49	∈	∈	PROPN
ejpam-6225	81	50	l	l	NOUN
ejpam-6225	81	51	,	,	PUNCT
ejpam-6225	81	52	then	then	ADV
ejpam-6225	81	53	=	=	PUNCT
ejpam-6225	81	54	∪	∪	ADP
ejpam-6225	81	55	ϑ	ϑ	X
ejpam-6225	81	56	∈	∈	PROPN
ejpam-6225	81	57	l	l	NOUN
ejpam-6225	81	58	.	.	PUNCT
ejpam-6225	82	1	definition	definition	NOUN
ejpam-6225	82	2	2.7	2.7	NUM
ejpam-6225	82	3	.	.	PUNCT
ejpam-6225	83	1	[	[	X
ejpam-6225	83	2	16	16	NUM
ejpam-6225	83	3	]	]	X
ejpam-6225	83	4	let	let	VERB
ejpam-6225	83	5	l1	l1	PROPN
ejpam-6225	83	6	,	,	PUNCT
ejpam-6225	83	7	l2	l2	NOUN
ejpam-6225	83	8	be	be	AUX
ejpam-6225	83	9	two	two	NUM
ejpam-6225	83	10	ideals	ideal	NOUN
ejpam-6225	83	11	on	on	ADP
ejpam-6225	83	12	=	=	NOUN
ejpam-6225	83	13	.	.	PUNCT
ejpam-6225	84	1	then	then	ADV
ejpam-6225	84	2	,	,	PUNCT
ejpam-6225	84	3	the	the	DET
ejpam-6225	84	4	set	set	NOUN
ejpam-6225	84	5	of	of	ADP
ejpam-6225	84	6	subsets	subset	NOUN
ejpam-6225	84	7	from	from	ADP
ejpam-6225	84	8	l1	l1	PROPN
ejpam-6225	84	9	,	,	PUNCT
ejpam-6225	84	10	l2	l2	NOUN
ejpam-6225	84	11	is	be	AUX
ejpam-6225	84	12	denoted	denote	VERB
ejpam-6225	84	13	by	by	ADP
ejpam-6225	84	14	<	<	X
ejpam-6225	84	15	l1	l1	PROPN
ejpam-6225	84	16	,	,	PUNCT
ejpam-6225	84	17	l2	l2	NOUN
ejpam-6225	84	18	>	>	PUNCT
ejpam-6225	84	19	and	and	CCONJ
ejpam-6225	84	20	is	be	AUX
ejpam-6225	84	21	given	give	VERB
ejpam-6225	84	22	by	by	ADP
ejpam-6225	84	23	:	:	PUNCT
ejpam-6225	84	24	<	<	X
ejpam-6225	84	25	l1	l1	PROPN
ejpam-6225	84	26	,	,	PUNCT
ejpam-6225	84	27	l2	l2	NOUN
ejpam-6225	84	28	>	>	PUNCT
ejpam-6225	84	29	=	=	PUNCT
ejpam-6225	84	30	{	{	PUNCT
ejpam-6225	84	31	=	=	NOUN
ejpam-6225	84	32	1	1	NUM
ejpam-6225	84	33	∪	∪	X
ejpam-6225	84	34	=	=	NOUN
ejpam-6225	84	35	2	2	NUM
ejpam-6225	84	36	:	:	PUNCT
ejpam-6225	84	37	=	=	NOUN
ejpam-6225	84	38	1	1	NUM
ejpam-6225	84	39	∈	∈	PROPN
ejpam-6225	84	40	l1	l1	NOUN
ejpam-6225	84	41	,	,	PUNCT
ejpam-6225	84	42	=	=	PROPN
ejpam-6225	84	43	2	2	NUM
ejpam-6225	84	44	∈	∈	NOUN
ejpam-6225	84	45	l2	l2	NOUN
ejpam-6225	84	46	}	}	PUNCT
ejpam-6225	84	47	.	.	PUNCT
ejpam-6225	85	1	proposition	proposition	NOUN
ejpam-6225	85	2	2.1	2.1	NUM
ejpam-6225	85	3	.	.	PUNCT
ejpam-6225	86	1	[	[	X
ejpam-6225	86	2	16	16	NUM
ejpam-6225	86	3	]	]	X
ejpam-6225	86	4	let	let	VERB
ejpam-6225	86	5	l1	l1	PROPN
ejpam-6225	86	6	,	,	PUNCT
ejpam-6225	86	7	l2	l2	NOUN
ejpam-6225	86	8	be	be	AUX
ejpam-6225	86	9	two	two	NUM
ejpam-6225	86	10	ideals	ideal	NOUN
ejpam-6225	86	11	on	on	ADP
ejpam-6225	86	12	=	=	PUNCT
ejpam-6225	86	13	and	and	CCONJ
ejpam-6225	86	14	=	=	NOUN
ejpam-6225	86	15	,	,	PUNCT
ejpam-6225	86	16	ϑ	ϑ	PROPN
ejpam-6225	86	17	⊆	⊆	NUM
ejpam-6225	86	18	q.	q.	NOUN
ejpam-6225	86	19	then	then	ADV
ejpam-6225	86	20	,	,	PUNCT
ejpam-6225	86	21	the	the	DET
ejpam-6225	86	22	family	family	NOUN
ejpam-6225	86	23	<	<	X
ejpam-6225	86	24	l1	l1	PROPN
ejpam-6225	86	25	,	,	PUNCT
ejpam-6225	86	26	l2	l2	PROPN
ejpam-6225	86	27	>	>	PUNCT
ejpam-6225	86	28	has	have	VERB
ejpam-6225	86	29	the	the	DET
ejpam-6225	86	30	following	follow	VERB
ejpam-6225	86	31	proprieties	propriety	NOUN
ejpam-6225	86	32	.	.	PUNCT
ejpam-6225	87	1	(	(	PUNCT
ejpam-6225	87	2	1	1	X
ejpam-6225	87	3	)	)	PUNCT
ejpam-6225	87	4	<	<	X
ejpam-6225	87	5	l1	l1	PROPN
ejpam-6225	87	6	,	,	PUNCT
ejpam-6225	87	7	l2	l2	NOUN
ejpam-6225	87	8	>	>	SYM
ejpam-6225	87	9	6=	6=	NOUN
ejpam-6225	87	10	∅	∅	NOUN
ejpam-6225	87	11	;	;	PUNCT
ejpam-6225	87	12	(	(	PUNCT
ejpam-6225	87	13	2	2	X
ejpam-6225	87	14	)	)	PUNCT
ejpam-6225	87	15	=	=	SYM
ejpam-6225	87	16	∈	∈	PROPN
ejpam-6225	87	17	<	<	X
ejpam-6225	87	18	l1	l1	PROPN
ejpam-6225	87	19	,	,	PUNCT
ejpam-6225	87	20	l2	l2	NOUN
ejpam-6225	87	21	>	>	PUNCT
ejpam-6225	87	22	,	,	PUNCT
ejpam-6225	87	23	ϑ	ϑ	X
ejpam-6225	87	24	⊆	⊆	NUM
ejpam-6225	87	25	=	=	SYM
ejpam-6225	87	26	⇒	⇒	NOUN
ejpam-6225	87	27	ϑ	ϑ	X
ejpam-6225	87	28	∈	∈	PROPN
ejpam-6225	87	29	<	<	X
ejpam-6225	87	30	l1	l1	PROPN
ejpam-6225	87	31	,	,	PUNCT
ejpam-6225	87	32	l2	l2	NOUN
ejpam-6225	87	33	>	>	PUNCT
ejpam-6225	87	34	;	;	PUNCT
ejpam-6225	87	35	(	(	PUNCT
ejpam-6225	87	36	3	3	X
ejpam-6225	87	37	)	)	PUNCT
ejpam-6225	87	38	=	=	NOUN
ejpam-6225	87	39	,	,	PUNCT
ejpam-6225	87	40	ϑ	ϑ	X
ejpam-6225	87	41	∈	∈	PROPN
ejpam-6225	87	42	<	<	X
ejpam-6225	87	43	l1	l1	PROPN
ejpam-6225	87	44	,	,	PUNCT
ejpam-6225	87	45	l2	l2	NOUN
ejpam-6225	87	46	>	>	X
ejpam-6225	87	47	⇒	⇒	NOUN
ejpam-6225	87	48	=	=	PUNCT
ejpam-6225	87	49	∪	∪	ADP
ejpam-6225	87	50	ϑ	ϑ	X
ejpam-6225	87	51	∈	∈	PROPN
ejpam-6225	87	52	<	<	X
ejpam-6225	87	53	l1	l1	PROPN
ejpam-6225	87	54	,	,	PUNCT
ejpam-6225	87	55	l2	l2	NOUN
ejpam-6225	87	56	>	>	PUNCT
ejpam-6225	87	57	.	.	PUNCT
ejpam-6225	88	1	d.	d.	PROPN
ejpam-6225	88	2	shi	shi	PROPN
ejpam-6225	88	3	et	et	PROPN
ejpam-6225	88	4	al	al	PROPN
ejpam-6225	88	5	.	.	PUNCT
ejpam-6225	88	6	/	/	SYM
ejpam-6225	88	7	eur	eur	PROPN
ejpam-6225	88	8	.	.	PUNCT
ejpam-6225	89	1	j.	j.	PROPN
ejpam-6225	89	2	pure	pure	PROPN
ejpam-6225	89	3	appl	appl	PROPN
ejpam-6225	89	4	.	.	PROPN
ejpam-6225	89	5	math	math	PROPN
ejpam-6225	89	6	,	,	PUNCT
ejpam-6225	89	7	18	18	NUM
ejpam-6225	89	8	(	(	PUNCT
ejpam-6225	89	9	4	4	NUM
ejpam-6225	89	10	)	)	PUNCT
ejpam-6225	89	11	(	(	PUNCT
ejpam-6225	89	12	2025	2025	NUM
ejpam-6225	89	13	)	)	PUNCT
ejpam-6225	89	14	,	,	PUNCT
ejpam-6225	89	15	6225	6225	NUM
ejpam-6225	89	16	4	4	NUM
ejpam-6225	89	17	of	of	ADP
ejpam-6225	89	18	36	36	NUM
ejpam-6225	89	19	definition	definition	NOUN
ejpam-6225	89	20	2.8	2.8	NUM
ejpam-6225	89	21	.	.	PUNCT
ejpam-6225	90	1	[	[	X
ejpam-6225	90	2	20	20	NUM
ejpam-6225	90	3	]	]	X
ejpam-6225	90	4	let	let	VERB
ejpam-6225	90	5	(	(	PUNCT
ejpam-6225	90	6	q	q	NOUN
ejpam-6225	90	7	,	,	PUNCT
ejpam-6225	90	8	s	s	X
ejpam-6225	90	9	,	,	PUNCT
ejpam-6225	90	10	l	l	NOUN
ejpam-6225	90	11	)	)	PUNCT
ejpam-6225	90	12	be	be	AUX
ejpam-6225	90	13	a	a	DET
ejpam-6225	90	14	soft	soft	ADJ
ejpam-6225	90	15	ideal	ideal	ADJ
ejpam-6225	90	16	approximation	approximation	NOUN
ejpam-6225	90	17	space	space	NOUN
ejpam-6225	90	18	with	with	ADP
ejpam-6225	90	19	s	s	NOUN
ejpam-6225	90	20	=	=	PUNCT
ejpam-6225	90	21	(	(	PUNCT
ejpam-6225	90	22	f	f	X
ejpam-6225	90	23	,	,	PUNCT
ejpam-6225	90	24	℘	℘	PROPN
ejpam-6225	90	25	)	)	PUNCT
ejpam-6225	90	26	be	be	AUX
ejpam-6225	90	27	a	a	DET
ejpam-6225	90	28	soft	soft	ADJ
ejpam-6225	90	29	set	set	NOUN
ejpam-6225	90	30	over	over	ADP
ejpam-6225	90	31	a	a	DET
ejpam-6225	90	32	universe	universe	ADJ
ejpam-6225	90	33	q	q	NOUN
ejpam-6225	90	34	,	,	PUNCT
ejpam-6225	90	35	l	l	NOUN
ejpam-6225	90	36	be	be	AUX
ejpam-6225	90	37	an	an	DET
ejpam-6225	90	38	ideal	ideal	NOUN
ejpam-6225	90	39	on	on	ADP
ejpam-6225	90	40	q	q	NOUN
ejpam-6225	90	41	,	,	PUNCT
ejpam-6225	90	42	=	=	SYM
ejpam-6225	90	43	⊆	⊆	NUM
ejpam-6225	90	44	q.	q.	NOUN
ejpam-6225	90	45	then	then	ADV
ejpam-6225	90	46	,	,	PUNCT
ejpam-6225	90	47	the	the	DET
ejpam-6225	90	48	lower	low	ADJ
ejpam-6225	90	49	and	and	CCONJ
ejpam-6225	90	50	uas	uas	PROPN
ejpam-6225	90	51	,	,	PUNCT
ejpam-6225	90	52	srl	srl	PROPN
ejpam-6225	90	53	(	(	PUNCT
ejpam-6225	90	54	=)	=)	PROPN
ejpam-6225	90	55	and	and	CCONJ
ejpam-6225	90	56	sr	sr	PROPN
ejpam-6225	90	57	l	l	PROPN
ejpam-6225	90	58	(	(	PUNCT
ejpam-6225	90	59	=)	=)	PROPN
ejpam-6225	90	60	,	,	PUNCT
ejpam-6225	90	61	are	be	AUX
ejpam-6225	90	62	defined	define	VERB
ejpam-6225	90	63	respectively	respectively	ADV
ejpam-6225	90	64	by	by	ADP
ejpam-6225	90	65	:	:	PUNCT
ejpam-6225	90	66	srl	srl	PROPN
ejpam-6225	90	67	(	(	PUNCT
ejpam-6225	90	68	=)	=)	PROPN
ejpam-6225	90	69	=	=	SYM
ejpam-6225	90	70	∪{f(ς	∪{f(ς	PROPN
ejpam-6225	90	71	)	)	PUNCT
ejpam-6225	90	72	,	,	PUNCT
ejpam-6225	90	73	ς	ς	PROPN
ejpam-6225	90	74	∈	∈	PROPN
ejpam-6225	90	75	℘	℘	PROPN
ejpam-6225	90	76	:	:	PUNCT
ejpam-6225	90	77	f(ς	f(ς	PROPN
ejpam-6225	90	78	)	)	PUNCT
ejpam-6225	90	79	∩	∩	NOUN
ejpam-6225	91	1	=	=	SYM
ejpam-6225	91	2	c	c	NOUN
ejpam-6225	91	3	∈	∈	PROPN
ejpam-6225	91	4	l	l	X
ejpam-6225	91	5	}	}	PUNCT
ejpam-6225	91	6	sr	sr	PROPN
ejpam-6225	91	7	l	l	NOUN
ejpam-6225	91	8	(	(	PUNCT
ejpam-6225	91	9	=)	=)	PROPN
ejpam-6225	91	10	=	=	SYM
ejpam-6225	92	1	[	[	X
ejpam-6225	92	2	srl	srl	PROPN
ejpam-6225	92	3	(=	(=	X
ejpam-6225	92	4	c)]c	c)]c	PROPN
ejpam-6225	92	5	,	,	PUNCT
ejpam-6225	92	6	where	where	SCONJ
ejpam-6225	92	7	=	=	NOUN
ejpam-6225	92	8	c	c	AUX
ejpam-6225	92	9	be	be	AUX
ejpam-6225	92	10	the	the	DET
ejpam-6225	92	11	complement	complement	NOUN
ejpam-6225	92	12	of	of	ADP
ejpam-6225	92	13	=	=	NOUN
ejpam-6225	92	14	.	.	PUNCT
ejpam-6225	92	15	definition	definition	NOUN
ejpam-6225	92	16	2.9	2.9	NUM
ejpam-6225	92	17	.	.	PUNCT
ejpam-6225	93	1	[	[	X
ejpam-6225	93	2	34	34	NUM
ejpam-6225	93	3	]	]	X
ejpam-6225	93	4	let	let	NOUN
ejpam-6225	93	5	b	b	X
ejpam-6225	93	6	=	=	SYM
ejpam-6225	93	7	(	(	PUNCT
ejpam-6225	93	8	f	f	X
ejpam-6225	93	9	,	,	PUNCT
ejpam-6225	93	10	g	g	NOUN
ejpam-6225	93	11	:	:	PUNCT
ejpam-6225	93	12	℘	℘	PROPN
ejpam-6225	93	13	)	)	PUNCT
ejpam-6225	93	14	∈	∈	PROPN
ejpam-6225	93	15	bssq	bssq	NOUN
ejpam-6225	93	16	be	be	AUX
ejpam-6225	93	17	a	a	DET
ejpam-6225	93	18	bipolar	bipolar	ADJ
ejpam-6225	93	19	soft	soft	ADJ
ejpam-6225	93	20	set	set	NOUN
ejpam-6225	93	21	on	on	ADP
ejpam-6225	93	22	q	q	PROPN
ejpam-6225	93	23	and	and	CCONJ
ejpam-6225	93	24	the	the	DET
ejpam-6225	93	25	pair	pair	NOUN
ejpam-6225	93	26	β	β	X
ejpam-6225	93	27	=	=	SYM
ejpam-6225	93	28	(	(	PUNCT
ejpam-6225	93	29	q	q	ADJ
ejpam-6225	93	30	,	,	PUNCT
ejpam-6225	93	31	(	(	PUNCT
ejpam-6225	93	32	f	f	X
ejpam-6225	93	33	,	,	PUNCT
ejpam-6225	93	34	g	g	NOUN
ejpam-6225	93	35	:	:	PUNCT
ejpam-6225	93	36	℘	℘	NUM
ejpam-6225	93	37	)	)	PUNCT
ejpam-6225	93	38	)	)	PUNCT
ejpam-6225	93	39	is	be	AUX
ejpam-6225	93	40	called	call	VERB
ejpam-6225	93	41	a	a	DET
ejpam-6225	93	42	bipolar	bipolar	ADJ
ejpam-6225	93	43	soft	soft	ADJ
ejpam-6225	93	44	approximation	approximation	NOUN
ejpam-6225	93	45	space	space	NOUN
ejpam-6225	93	46	(	(	PUNCT
ejpam-6225	93	47	bsa	bsa	NOUN
ejpam-6225	93	48	-	-	NOUN
ejpam-6225	93	49	space	space	NOUN
ejpam-6225	93	50	for	for	ADP
ejpam-6225	93	51	short	short	ADJ
ejpam-6225	93	52	)	)	PUNCT
ejpam-6225	93	53	.	.	PUNCT
ejpam-6225	94	1	depending	depend	VERB
ejpam-6225	94	2	on	on	ADP
ejpam-6225	94	3	β	β	NOUN
ejpam-6225	94	4	,	,	PUNCT
ejpam-6225	94	5	the	the	DET
ejpam-6225	94	6	following	follow	VERB
ejpam-6225	94	7	operators	operator	NOUN
ejpam-6225	94	8	are	be	AUX
ejpam-6225	94	9	defined	define	VERB
ejpam-6225	94	10	for	for	ADP
ejpam-6225	94	11	any	any	DET
ejpam-6225	94	12	=	=	SYM
ejpam-6225	94	13	⊆	⊆	NUM
ejpam-6225	94	14	q	q	NOUN
ejpam-6225	94	15	by	by	ADP
ejpam-6225	94	16	:	:	PUNCT
ejpam-6225	94	17	srβ+(=	srβ+(=	NOUN
ejpam-6225	94	18	)	)	PUNCT
ejpam-6225	95	1	=	=	SYM
ejpam-6225	95	2	⋃	⋃	NOUN
ejpam-6225	95	3	{	{	PUNCT
ejpam-6225	95	4	f(ς	f(ς	PROPN
ejpam-6225	95	5	)	)	PUNCT
ejpam-6225	95	6	,	,	PUNCT
ejpam-6225	95	7	ς	ς	PROPN
ejpam-6225	95	8	∈	∈	PROPN
ejpam-6225	95	9	℘	℘	PROPN
ejpam-6225	95	10	:	:	PUNCT
ejpam-6225	95	11	f(ς	f(ς	PROPN
ejpam-6225	95	12	)	)	PUNCT
ejpam-6225	95	13	⊆	⊆	NUM
ejpam-6225	95	14	=	=	SYM
ejpam-6225	95	15	}	}	PUNCT
ejpam-6225	95	16	,	,	PUNCT
ejpam-6225	95	17	srβ+(=	srβ+(=	NOUN
ejpam-6225	95	18	)	)	PUNCT
ejpam-6225	95	19	=	=	SYM
ejpam-6225	96	1	(	(	PUNCT
ejpam-6225	96	2	srβ+	srβ+	ADJ
ejpam-6225	96	3	(=	(=	NOUN
ejpam-6225	96	4	c	c	NOUN
ejpam-6225	96	5	)	)	PUNCT
ejpam-6225	96	6	)	)	PUNCT
ejpam-6225	97	1	c	c	NOUN
ejpam-6225	97	2	,	,	PUNCT
ejpam-6225	97	3	srβ−(=	srβ−(=	PROPN
ejpam-6225	97	4	)	)	PUNCT
ejpam-6225	97	5	=	=	PUNCT
ejpam-6225	97	6	⋃	⋃	NOUN
ejpam-6225	97	7	{	{	PUNCT
ejpam-6225	97	8	g(¬ς	g(¬ς	NOUN
ejpam-6225	97	9	)	)	PUNCT
ejpam-6225	97	10	,	,	PUNCT
ejpam-6225	97	11	¬ς	¬ς	NOUN
ejpam-6225	97	12	∈	∈	PROPN
ejpam-6225	97	13	ℵ	ℵ	NOUN
ejpam-6225	97	14	:	:	PUNCT
ejpam-6225	97	15	g(¬ς	g(¬ς	NOUN
ejpam-6225	97	16	)	)	PUNCT
ejpam-6225	98	1	⊆	⊆	NUM
ejpam-6225	98	2	=	=	SYM
ejpam-6225	98	3	c	c	NOUN
ejpam-6225	98	4	}	}	PUNCT
ejpam-6225	98	5	,	,	PUNCT
ejpam-6225	98	6	srβ−(=	srβ−(=	PROPN
ejpam-6225	98	7	)	)	PUNCT
ejpam-6225	98	8	=	=	PRON
ejpam-6225	99	1	(	(	PUNCT
ejpam-6225	99	2	sr	sr	PROPN
ejpam-6225	99	3	l	l	NOUN
ejpam-6225	99	4	β−	β−	PUNCT
ejpam-6225	99	5	(=	(=	ADJ
ejpam-6225	99	6	c	c	NOUN
ejpam-6225	99	7	)	)	PUNCT
ejpam-6225	99	8	)	)	PUNCT
ejpam-6225	100	1	c	c	NOUN
ejpam-6225	100	2	,	,	PUNCT
ejpam-6225	100	3			ADJ
ejpam-6225	100	4	are	be	AUX
ejpam-6225	100	5	called	call	VERB
ejpam-6225	100	6	the	the	DET
ejpam-6225	100	7	approximations	approximation	NOUN
ejpam-6225	100	8	of	of	ADP
ejpam-6225	100	9	=	=	PUNCT
ejpam-6225	100	10	and	and	CCONJ
ejpam-6225	100	11	are	be	AUX
ejpam-6225	100	12	considered	consider	VERB
ejpam-6225	100	13	to	to	PART
ejpam-6225	100	14	be	be	AUX
ejpam-6225	100	15	soft	soft	ADJ
ejpam-6225	100	16	β	β	NOUN
ejpam-6225	100	17	-	-	PUNCT
ejpam-6225	100	18	lower	low	ADJ
ejpam-6225	100	19	positive	positive	ADJ
ejpam-6225	100	20	,	,	PUNCT
ejpam-6225	100	21	soft	soft	ADJ
ejpam-6225	100	22	β	β	ADP
ejpam-6225	100	23	upper	upper	ADJ
ejpam-6225	100	24	positive	positive	ADJ
ejpam-6225	100	25	,	,	PUNCT
ejpam-6225	100	26	soft	soft	ADJ
ejpam-6225	100	27	β	β	NOUN
ejpam-6225	100	28	-	-	ADJ
ejpam-6225	100	29	upper	upper	ADJ
ejpam-6225	100	30	negative	negative	NOUN
ejpam-6225	100	31	,	,	PUNCT
ejpam-6225	100	32	and	and	CCONJ
ejpam-6225	100	33	soft	soft	ADJ
ejpam-6225	100	34	β	β	NOUN
ejpam-6225	100	35	-	-	PUNCT
ejpam-6225	100	36	lower	low	ADJ
ejpam-6225	100	37	negative	negative	ADJ
ejpam-6225	100	38	,	,	PUNCT
ejpam-6225	100	39	respectively	respectively	ADV
ejpam-6225	100	40	.	.	PUNCT
ejpam-6225	101	1	moreover	moreover	ADV
ejpam-6225	101	2	,	,	PUNCT
ejpam-6225	101	3	the	the	DET
ejpam-6225	101	4	ordered	order	VERB
ejpam-6225	101	5	pairs	pair	NOUN
ejpam-6225	101	6	are	be	AUX
ejpam-6225	101	7	given	give	VERB
ejpam-6225	101	8	as	as	ADP
ejpam-6225	101	9	psr	psr	PROPN
ejpam-6225	101	10	β	β	PROPN
ejpam-6225	101	11	(	(	PUNCT
ejpam-6225	101	12	=)	=)	PROPN
ejpam-6225	101	13	=	=	SYM
ejpam-6225	101	14	(	(	PUNCT
ejpam-6225	101	15	srβ+(=),srβ−(=	srβ+(=),srβ−(=	PROPN
ejpam-6225	101	16	)	)	PUNCT
ejpam-6225	101	17	)	)	PUNCT
ejpam-6225	101	18	,	,	PUNCT
ejpam-6225	101	19	psrβ(=	psrβ(=	NOUN
ejpam-6225	101	20	)	)	PUNCT
ejpam-6225	102	1	=	=	PRON
ejpam-6225	102	2	(	(	PUNCT
ejpam-6225	102	3	srβ+(=),srβ−(=	srβ+(=),srβ−(=	PROPN
ejpam-6225	102	4	)	)	PUNCT
ejpam-6225	102	5	)	)	PUNCT
ejpam-6225	102	6	,	,	PUNCT
ejpam-6225	102	7			NOUN
ejpam-6225	102	8	are	be	AUX
ejpam-6225	102	9	called	call	VERB
ejpam-6225	102	10	the	the	DET
ejpam-6225	102	11	ideal	ideal	ADJ
ejpam-6225	102	12	bipolar	bipolar	ADJ
ejpam-6225	102	13	sas	sa	NOUN
ejpam-6225	102	14	of	of	ADP
ejpam-6225	102	15	=	=	PUNCT
ejpam-6225	102	16	with	with	ADP
ejpam-6225	102	17	respect	respect	NOUN
ejpam-6225	102	18	to	to	ADP
ejpam-6225	102	19	the	the	DET
ejpam-6225	102	20	bsa	bsa	NOUN
ejpam-6225	102	21	-	-	NOUN
ejpam-6225	102	22	space	space	NOUN
ejpam-6225	102	23	.	.	PUNCT
ejpam-6225	103	1	definition	definition	NOUN
ejpam-6225	103	2	2.10	2.10	NUM
ejpam-6225	103	3	.	.	PUNCT
ejpam-6225	104	1	[	[	X
ejpam-6225	104	2	33	33	NUM
ejpam-6225	104	3	]	]	PUNCT
ejpam-6225	104	4	let	let	VERB
ejpam-6225	104	5	b	b	X
ejpam-6225	104	6	=	=	SYM
ejpam-6225	104	7	(	(	PUNCT
ejpam-6225	104	8	f	f	X
ejpam-6225	104	9	,	,	PUNCT
ejpam-6225	104	10	g	g	NOUN
ejpam-6225	104	11	:	:	PUNCT
ejpam-6225	104	12	℘	℘	PROPN
ejpam-6225	104	13	)	)	PUNCT
ejpam-6225	104	14	∈	∈	PROPN
ejpam-6225	104	15	bssq	bssq	NOUN
ejpam-6225	104	16	be	be	AUX
ejpam-6225	104	17	a	a	DET
ejpam-6225	104	18	bipolar	bipolar	ADJ
ejpam-6225	104	19	soft	soft	ADJ
ejpam-6225	104	20	set	set	NOUN
ejpam-6225	104	21	on	on	ADP
ejpam-6225	104	22	q.	q.	PROPN
ejpam-6225	104	23	then	then	ADV
ejpam-6225	104	24	,	,	PUNCT
ejpam-6225	104	25	β	β	X
ejpam-6225	104	26	=	=	SYM
ejpam-6225	104	27	(	(	PUNCT
ejpam-6225	104	28	q	q	ADJ
ejpam-6225	104	29	,	,	PUNCT
ejpam-6225	104	30	(	(	PUNCT
ejpam-6225	104	31	f	f	X
ejpam-6225	104	32	,	,	PUNCT
ejpam-6225	104	33	g	g	NOUN
ejpam-6225	104	34	:	:	PUNCT
ejpam-6225	104	35	℘	℘	NUM
ejpam-6225	104	36	)	)	PUNCT
ejpam-6225	104	37	)	)	PUNCT
ejpam-6225	104	38	is	be	AUX
ejpam-6225	104	39	the	the	DET
ejpam-6225	104	40	corresponding	corresponding	ADJ
ejpam-6225	104	41	bipolar	bipolar	ADJ
ejpam-6225	104	42	soft	soft	ADJ
ejpam-6225	104	43	approximation	approximation	NOUN
ejpam-6225	104	44	space	space	NOUN
ejpam-6225	104	45	.	.	PUNCT
ejpam-6225	105	1	depending	depend	VERB
ejpam-6225	105	2	on	on	ADP
ejpam-6225	105	3	βl	βl	NOUN
ejpam-6225	105	4	,	,	PUNCT
ejpam-6225	105	5	the	the	DET
ejpam-6225	105	6	following	follow	VERB
ejpam-6225	105	7	operators	operator	NOUN
ejpam-6225	105	8	are	be	AUX
ejpam-6225	105	9	defined	define	VERB
ejpam-6225	105	10	for	for	ADP
ejpam-6225	105	11	any	any	DET
ejpam-6225	105	12	=	=	SYM
ejpam-6225	105	13	⊆	⊆	NUM
ejpam-6225	105	14	q	q	NOUN
ejpam-6225	105	15	by	by	ADP
ejpam-6225	105	16	:	:	PUNCT
ejpam-6225	105	17	sfβ+(=	sfβ+(=	NUM
ejpam-6225	105	18	)	)	PUNCT
ejpam-6225	106	1	=	=	SYM
ejpam-6225	106	2	⋃	⋃	NOUN
ejpam-6225	106	3	{	{	PUNCT
ejpam-6225	106	4	f(ς	f(ς	PROPN
ejpam-6225	106	5	)	)	PUNCT
ejpam-6225	106	6	,	,	PUNCT
ejpam-6225	106	7	ς	ς	PROPN
ejpam-6225	106	8	∈	∈	PROPN
ejpam-6225	106	9	℘	℘	PROPN
ejpam-6225	106	10	:	:	PUNCT
ejpam-6225	106	11	f(ς	f(ς	PROPN
ejpam-6225	106	12	)	)	PUNCT
ejpam-6225	106	13	⊆	⊆	NUM
ejpam-6225	106	14	=	=	SYM
ejpam-6225	106	15	}	}	PUNCT
ejpam-6225	106	16	,	,	PUNCT
ejpam-6225	106	17	sfβ+(=	sfβ+(=	NUM
ejpam-6225	106	18	)	)	PUNCT
ejpam-6225	107	1	=	=	SYM
ejpam-6225	107	2	⋃	⋃	NOUN
ejpam-6225	107	3	{	{	PUNCT
ejpam-6225	107	4	f(ς	f(ς	PROPN
ejpam-6225	107	5	)	)	PUNCT
ejpam-6225	107	6	,	,	PUNCT
ejpam-6225	107	7	ς	ς	PROPN
ejpam-6225	107	8	∈	∈	PROPN
ejpam-6225	107	9	℘	℘	PROPN
ejpam-6225	107	10	:	:	PUNCT
ejpam-6225	107	11	f(ς	f(ς	PROPN
ejpam-6225	107	12	)	)	PUNCT
ejpam-6225	107	13	∩	∩	NOUN
ejpam-6225	107	14	=	=	SYM
ejpam-6225	107	15	6=	6=	NUM
ejpam-6225	107	16	∅	∅	NOUN
ejpam-6225	107	17	}	}	PUNCT
ejpam-6225	107	18	,	,	PUNCT
ejpam-6225	107	19	sfβ−(=	sfβ−(=	PROPN
ejpam-6225	107	20	)	)	PUNCT
ejpam-6225	107	21	=	=	PUNCT
ejpam-6225	107	22	⋃	⋃	NOUN
ejpam-6225	107	23	{	{	PUNCT
ejpam-6225	107	24	g(¬ς	g(¬ς	NOUN
ejpam-6225	107	25	)	)	PUNCT
ejpam-6225	107	26	,	,	PUNCT
ejpam-6225	107	27	¬ς	¬ς	NOUN
ejpam-6225	107	28	∈	∈	PROPN
ejpam-6225	107	29	ℵ	ℵ	NOUN
ejpam-6225	107	30	:	:	PUNCT
ejpam-6225	107	31	g(¬ς	g(¬ς	NOUN
ejpam-6225	107	32	)	)	PUNCT
ejpam-6225	107	33	⊆	⊆	NUM
ejpam-6225	107	34	=	=	SYM
ejpam-6225	107	35	c	c	NOUN
ejpam-6225	107	36	}	}	PUNCT
ejpam-6225	107	37	,	,	PUNCT
ejpam-6225	107	38	sfβ−(=	sfβ−(=	PROPN
ejpam-6225	107	39	)	)	PUNCT
ejpam-6225	107	40	=	=	PUNCT
ejpam-6225	107	41	⋃	⋃	NOUN
ejpam-6225	107	42	{	{	PUNCT
ejpam-6225	107	43	g(¬ς	g(¬ς	NOUN
ejpam-6225	107	44	)	)	PUNCT
ejpam-6225	107	45	,	,	PUNCT
ejpam-6225	107	46	¬ς	¬ς	NOUN
ejpam-6225	107	47	∈	∈	PROPN
ejpam-6225	107	48	ℵ	ℵ	NOUN
ejpam-6225	107	49	:	:	PUNCT
ejpam-6225	107	50	g(¬ς	g(¬ς	NOUN
ejpam-6225	107	51	)	)	PUNCT
ejpam-6225	107	52	∩	∩	NOUN
ejpam-6225	107	53	=	=	SYM
ejpam-6225	107	54	6=	6=	NUM
ejpam-6225	107	55	∅	∅	NOUN
ejpam-6225	107	56	}	}	PUNCT
ejpam-6225	107	57			NOUN
ejpam-6225	107	58	are	be	AUX
ejpam-6225	107	59	called	call	VERB
ejpam-6225	107	60	the	the	DET
ejpam-6225	107	61	approximations	approximation	NOUN
ejpam-6225	107	62	of	of	ADP
ejpam-6225	107	63	=	=	PUNCT
ejpam-6225	107	64	and	and	CCONJ
ejpam-6225	107	65	are	be	AUX
ejpam-6225	107	66	considered	consider	VERB
ejpam-6225	107	67	to	to	PART
ejpam-6225	107	68	be	be	AUX
ejpam-6225	107	69	soft	soft	ADJ
ejpam-6225	107	70	β	β	NOUN
ejpam-6225	107	71	-	-	ADJ
ejpam-6225	107	72	lower	low	ADJ
ejpam-6225	107	73	positive	positive	ADJ
ejpam-6225	107	74	,	,	PUNCT
ejpam-6225	107	75	ideal	ideal	ADJ
ejpam-6225	107	76	soft	soft	ADJ
ejpam-6225	107	77	β	β	X
ejpam-6225	107	78	upper	upper	ADJ
ejpam-6225	107	79	positive	positive	ADJ
ejpam-6225	107	80	,	,	PUNCT
ejpam-6225	107	81	ideal	ideal	ADJ
ejpam-6225	107	82	soft	soft	ADJ
ejpam-6225	107	83	β	β	NOUN
ejpam-6225	107	84	-	-	ADJ
ejpam-6225	107	85	upper	upper	ADJ
ejpam-6225	107	86	negative	negative	NOUN
ejpam-6225	107	87	,	,	PUNCT
ejpam-6225	107	88	and	and	CCONJ
ejpam-6225	107	89	soft	soft	ADJ
ejpam-6225	107	90	β	β	NOUN
ejpam-6225	107	91	-	-	PUNCT
ejpam-6225	107	92	lower	low	ADJ
ejpam-6225	107	93	negative	negative	ADJ
ejpam-6225	107	94	,	,	PUNCT
ejpam-6225	107	95	respectively	respectively	ADV
ejpam-6225	107	96	.	.	PUNCT
ejpam-6225	108	1	moreover	moreover	ADV
ejpam-6225	108	2	,	,	PUNCT
ejpam-6225	108	3	the	the	DET
ejpam-6225	108	4	ordered	order	VERB
ejpam-6225	108	5	pairs	pair	NOUN
ejpam-6225	108	6	are	be	AUX
ejpam-6225	108	7	given	give	VERB
ejpam-6225	108	8	as	as	ADP
ejpam-6225	108	9	psf	psf	NOUN
ejpam-6225	108	10	β	β	X
ejpam-6225	108	11	(	(	PUNCT
ejpam-6225	108	12	=)	=)	PROPN
ejpam-6225	108	13	=	=	SYM
ejpam-6225	108	14	(	(	PUNCT
ejpam-6225	108	15	sfβ+(=),sfβ−(=	sfβ+(=),sfβ−(=	PROPN
ejpam-6225	108	16	)	)	PUNCT
ejpam-6225	108	17	)	)	PUNCT
ejpam-6225	109	1	psfβ(=	psfβ(=	X
ejpam-6225	109	2	)	)	PUNCT
ejpam-6225	109	3	=	=	PRON
ejpam-6225	109	4	(	(	PUNCT
ejpam-6225	109	5	sfβ+(=),sfβ−(=	sfβ+(=),sfβ−(=	PROPN
ejpam-6225	109	6	)	)	PUNCT
ejpam-6225	109	7	)	)	PUNCT
ejpam-6225	110	1			NOUN
ejpam-6225	110	2	are	be	AUX
ejpam-6225	110	3	called	call	VERB
ejpam-6225	110	4	the	the	DET
ejpam-6225	110	5	ideal	ideal	ADJ
ejpam-6225	110	6	bipolar	bipolar	ADJ
ejpam-6225	110	7	sas	sa	NOUN
ejpam-6225	110	8	of	of	ADP
ejpam-6225	110	9	=	=	PUNCT
ejpam-6225	110	10	with	with	ADP
ejpam-6225	110	11	respect	respect	NOUN
ejpam-6225	110	12	to	to	ADP
ejpam-6225	110	13	the	the	DET
ejpam-6225	110	14	ibsa	ibsa	NOUN
ejpam-6225	110	15	-	-	PUNCT
ejpam-6225	110	16	space	space	NOUN
ejpam-6225	110	17	definition	definition	NOUN
ejpam-6225	110	18	2.11	2.11	NUM
ejpam-6225	110	19	.	.	PUNCT
ejpam-6225	111	1	[	[	X
ejpam-6225	111	2	33	33	NUM
ejpam-6225	111	3	]	]	PUNCT
ejpam-6225	111	4	let	let	VERB
ejpam-6225	111	5	b	b	X
ejpam-6225	111	6	=	=	SYM
ejpam-6225	111	7	(	(	PUNCT
ejpam-6225	111	8	f	f	X
ejpam-6225	111	9	,	,	PUNCT
ejpam-6225	111	10	g	g	NOUN
ejpam-6225	111	11	:	:	PUNCT
ejpam-6225	111	12	℘	℘	PROPN
ejpam-6225	111	13	)	)	PUNCT
ejpam-6225	111	14	∈	∈	PROPN
ejpam-6225	111	15	bssq	bssq	NOUN
ejpam-6225	111	16	be	be	AUX
ejpam-6225	111	17	a	a	DET
ejpam-6225	111	18	bipolar	bipolar	ADJ
ejpam-6225	111	19	soft	soft	ADJ
ejpam-6225	111	20	set	set	NOUN
ejpam-6225	111	21	on	on	ADP
ejpam-6225	111	22	q	q	PROPN
ejpam-6225	111	23	and	and	CCONJ
ejpam-6225	111	24	β	β	X
ejpam-6225	111	25	=	=	SYM
ejpam-6225	111	26	(	(	PUNCT
ejpam-6225	111	27	q	q	ADJ
ejpam-6225	111	28	,	,	PUNCT
ejpam-6225	111	29	(	(	PUNCT
ejpam-6225	111	30	f	f	X
ejpam-6225	111	31	,	,	PUNCT
ejpam-6225	111	32	g	g	NOUN
ejpam-6225	111	33	:	:	PUNCT
ejpam-6225	111	34	℘	℘	NUM
ejpam-6225	111	35	)	)	PUNCT
ejpam-6225	111	36	)	)	PUNCT
ejpam-6225	111	37	is	be	AUX
ejpam-6225	111	38	the	the	DET
ejpam-6225	111	39	corresponding	corresponding	ADJ
ejpam-6225	111	40	bipolar	bipolar	ADJ
ejpam-6225	111	41	soft	soft	ADJ
ejpam-6225	111	42	approximation	approximation	NOUN
ejpam-6225	111	43	space	space	NOUN
ejpam-6225	111	44	.	.	PUNCT
ejpam-6225	112	1	then	then	ADV
ejpam-6225	112	2	,	,	PUNCT
ejpam-6225	112	3	b	b	X
ejpam-6225	112	4	=	=	SYM
ejpam-6225	112	5	(	(	PUNCT
ejpam-6225	112	6	f	f	X
ejpam-6225	112	7	,	,	PUNCT
ejpam-6225	112	8	g	g	NOUN
ejpam-6225	112	9	:	:	PUNCT
ejpam-6225	112	10	℘	℘	NUM
ejpam-6225	112	11	)	)	PUNCT
ejpam-6225	112	12	is	be	AUX
ejpam-6225	112	13	called	call	VERB
ejpam-6225	112	14	a	a	DET
ejpam-6225	112	15	semi	semi	ADJ
ejpam-6225	112	16	-	-	ADJ
ejpam-6225	112	17	intersection	intersection	ADJ
ejpam-6225	112	18	bipolar	bipolar	ADJ
ejpam-6225	112	19	soft	soft	ADJ
ejpam-6225	112	20	set	set	NOUN
ejpam-6225	112	21	,	,	PUNCT
ejpam-6225	112	22	if	if	SCONJ
ejpam-6225	112	23	f(ςi	f(ςi	PROPN
ejpam-6225	112	24	)	)	PUNCT
ejpam-6225	112	25	∩	∩	NOUN
ejpam-6225	112	26	g(¬ςi	g(¬ςi	NOUN
ejpam-6225	112	27	)	)	PUNCT
ejpam-6225	112	28	=	=	NOUN
ejpam-6225	112	29	∅	∅	NOUN
ejpam-6225	112	30	for	for	ADP
ejpam-6225	112	31	all	all	DET
ejpam-6225	112	32	ς	ς	PROPN
ejpam-6225	112	33	∈	∈	PROPN
ejpam-6225	112	34	℘	℘	PROPN
ejpam-6225	112	35	and	and	CCONJ
ejpam-6225	112	36	¬ς	¬ς	NOUN
ejpam-6225	112	37	∈	∈	PROPN
ejpam-6225	112	38	¬℘.	¬℘.	VERB
ejpam-6225	112	39	definition	definition	NOUN
ejpam-6225	112	40	2.12	2.12	NUM
ejpam-6225	112	41	.	.	PUNCT
ejpam-6225	113	1	[	[	X
ejpam-6225	113	2	35	35	NUM
ejpam-6225	113	3	]	]	X
ejpam-6225	113	4	let	let	VERB
ejpam-6225	113	5	b	b	X
ejpam-6225	113	6	=	=	SYM
ejpam-6225	113	7	(	(	PUNCT
ejpam-6225	113	8	f	f	X
ejpam-6225	113	9	,	,	PUNCT
ejpam-6225	113	10	g	g	NOUN
ejpam-6225	113	11	:	:	PUNCT
ejpam-6225	113	12	℘	℘	PROPN
ejpam-6225	113	13	)	)	PUNCT
ejpam-6225	113	14	∈	∈	PROPN
ejpam-6225	113	15	bssq	bssq	NOUN
ejpam-6225	113	16	be	be	AUX
ejpam-6225	113	17	a	a	DET
ejpam-6225	113	18	bipolar	bipolar	ADJ
ejpam-6225	113	19	soft	soft	ADJ
ejpam-6225	113	20	set	set	NOUN
ejpam-6225	113	21	on	on	ADP
ejpam-6225	113	22	q	q	PROPN
ejpam-6225	113	23	and	and	CCONJ
ejpam-6225	113	24	l	l	NOUN
ejpam-6225	113	25	is	be	AUX
ejpam-6225	113	26	an	an	DET
ejpam-6225	113	27	ideal	ideal	NOUN
ejpam-6225	113	28	on	on	ADP
ejpam-6225	113	29	q.	q.	PROPN
ejpam-6225	113	30	the	the	DET
ejpam-6225	113	31	triple	triple	ADJ
ejpam-6225	113	32	β	β	X
ejpam-6225	113	33	=	=	SYM
ejpam-6225	113	34	(	(	PUNCT
ejpam-6225	113	35	q	q	ADJ
ejpam-6225	113	36	,	,	PUNCT
ejpam-6225	113	37	(	(	PUNCT
ejpam-6225	113	38	f	f	X
ejpam-6225	113	39	,	,	PUNCT
ejpam-6225	113	40	g	g	NOUN
ejpam-6225	113	41	:	:	PUNCT
ejpam-6225	113	42	℘	℘	NUM
ejpam-6225	113	43	)	)	PUNCT
ejpam-6225	113	44	,	,	PUNCT
ejpam-6225	113	45	l	l	NOUN
ejpam-6225	113	46	)	)	PUNCT
ejpam-6225	113	47	is	be	AUX
ejpam-6225	113	48	called	call	VERB
ejpam-6225	113	49	ideal	ideal	ADJ
ejpam-6225	113	50	bipolar	bipolar	ADJ
ejpam-6225	113	51	soft	soft	ADJ
ejpam-6225	113	52	approximation	approximation	NOUN
ejpam-6225	113	53	space	space	NOUN
ejpam-6225	113	54	d.	d.	PROPN
ejpam-6225	113	55	shi	shi	PROPN
ejpam-6225	113	56	et	et	PROPN
ejpam-6225	113	57	al	al	PROPN
ejpam-6225	114	1	.	.	PUNCT
ejpam-6225	114	2	/	/	SYM
ejpam-6225	114	3	eur	eur	PROPN
ejpam-6225	114	4	.	.	PUNCT
ejpam-6225	115	1	j.	j.	PROPN
ejpam-6225	115	2	pure	pure	PROPN
ejpam-6225	115	3	appl	appl	PROPN
ejpam-6225	115	4	.	.	PROPN
ejpam-6225	115	5	math	math	PROPN
ejpam-6225	115	6	,	,	PUNCT
ejpam-6225	115	7	18	18	NUM
ejpam-6225	115	8	(	(	PUNCT
ejpam-6225	115	9	4	4	NUM
ejpam-6225	115	10	)	)	PUNCT
ejpam-6225	115	11	(	(	PUNCT
ejpam-6225	115	12	2025	2025	NUM
ejpam-6225	115	13	)	)	PUNCT
ejpam-6225	115	14	,	,	PUNCT
ejpam-6225	115	15	6225	6225	NUM
ejpam-6225	115	16	5	5	NUM
ejpam-6225	115	17	of	of	ADP
ejpam-6225	115	18	36	36	NUM
ejpam-6225	115	19	(	(	PUNCT
ejpam-6225	115	20	ibsa	ibsa	NOUN
ejpam-6225	115	21	-	-	PUNCT
ejpam-6225	115	22	space	space	NOUN
ejpam-6225	115	23	for	for	ADP
ejpam-6225	115	24	short	short	ADJ
ejpam-6225	115	25	)	)	PUNCT
ejpam-6225	115	26	.	.	PUNCT
ejpam-6225	116	1	depending	depend	VERB
ejpam-6225	116	2	on	on	ADP
ejpam-6225	116	3	βl	βl	NOUN
ejpam-6225	116	4	,	,	PUNCT
ejpam-6225	116	5	the	the	DET
ejpam-6225	116	6	following	follow	VERB
ejpam-6225	116	7	operators	operator	NOUN
ejpam-6225	116	8	are	be	AUX
ejpam-6225	116	9	defined	define	VERB
ejpam-6225	116	10	for	for	ADP
ejpam-6225	116	11	any	any	DET
ejpam-6225	116	12	=	=	SYM
ejpam-6225	116	13	⊆	⊆	NUM
ejpam-6225	116	14	q	q	NOUN
ejpam-6225	116	15	by	by	ADP
ejpam-6225	116	16	:	:	PUNCT
ejpam-6225	116	17	sfl	sfl	PROPN
ejpam-6225	116	18	β+(=	β+(=	PRON
ejpam-6225	116	19	)	)	PUNCT
ejpam-6225	117	1	=	=	SYM
ejpam-6225	117	2	⋃	⋃	NOUN
ejpam-6225	117	3	{	{	PUNCT
ejpam-6225	117	4	f(ς	f(ς	PROPN
ejpam-6225	117	5	)	)	PUNCT
ejpam-6225	117	6	,	,	PUNCT
ejpam-6225	117	7	ς	ς	PROPN
ejpam-6225	117	8	∈	∈	PROPN
ejpam-6225	117	9	℘	℘	PROPN
ejpam-6225	117	10	:	:	PUNCT
ejpam-6225	117	11	f(ς	f(ς	PROPN
ejpam-6225	117	12	)	)	PUNCT
ejpam-6225	117	13	∩	∩	NOUN
ejpam-6225	117	14	=	=	SYM
ejpam-6225	117	15	c	c	NOUN
ejpam-6225	117	16	∈	∈	NOUN
ejpam-6225	117	17	l	l	NOUN
ejpam-6225	117	18	}	}	PUNCT
ejpam-6225	117	19	,	,	PUNCT
ejpam-6225	117	20	sf	sf	PROPN
ejpam-6225	117	21	l	l	NOUN
ejpam-6225	117	22	β+(=	β+(=	NOUN
ejpam-6225	117	23	)	)	PUNCT
ejpam-6225	118	1	=	=	SYM
ejpam-6225	118	2	⋃	⋃	NOUN
ejpam-6225	118	3	{	{	PUNCT
ejpam-6225	118	4	f(ς	f(ς	PROPN
ejpam-6225	118	5	)	)	PUNCT
ejpam-6225	118	6	,	,	PUNCT
ejpam-6225	118	7	ς	ς	PROPN
ejpam-6225	118	8	∈	∈	PROPN
ejpam-6225	118	9	℘	℘	PROPN
ejpam-6225	118	10	:	:	PUNCT
ejpam-6225	118	11	f(ς	f(ς	PROPN
ejpam-6225	118	12	)	)	PUNCT
ejpam-6225	118	13	∩	∩	NOUN
ejpam-6225	118	14	=	=	SYM
ejpam-6225	118	15	/∈	/∈	PUNCT
ejpam-6225	118	16	l	l	NOUN
ejpam-6225	118	17	}	}	PUNCT
ejpam-6225	118	18	,	,	PUNCT
ejpam-6225	118	19	sf	sf	PROPN
ejpam-6225	118	20	l	l	NOUN
ejpam-6225	118	21	β−(=	β−(=	X
ejpam-6225	118	22	)	)	PUNCT
ejpam-6225	118	23	=	=	SYM
ejpam-6225	118	24	⋃	⋃	NOUN
ejpam-6225	118	25	{	{	PUNCT
ejpam-6225	118	26	g(¬ς	g(¬ς	NOUN
ejpam-6225	118	27	)	)	PUNCT
ejpam-6225	118	28	,	,	PUNCT
ejpam-6225	118	29	¬ς	¬ς	NOUN
ejpam-6225	118	30	∈	∈	PROPN
ejpam-6225	118	31	ℵ	ℵ	NOUN
ejpam-6225	118	32	:	:	PUNCT
ejpam-6225	118	33	g(¬ς	g(¬ς	NOUN
ejpam-6225	118	34	)	)	PUNCT
ejpam-6225	118	35	∩	∩	NOUN
ejpam-6225	118	36	=	=	SYM
ejpam-6225	118	37	∈	∈	PROPN
ejpam-6225	118	38	l	l	NOUN
ejpam-6225	118	39	}	}	PUNCT
ejpam-6225	118	40	,	,	PUNCT
ejpam-6225	118	41	sfl	sfl	PROPN
ejpam-6225	118	42	β−(=	β−(=	NOUN
ejpam-6225	118	43	)	)	PUNCT
ejpam-6225	118	44	=	=	SYM
ejpam-6225	118	45	⋃	⋃	NOUN
ejpam-6225	118	46	{	{	PUNCT
ejpam-6225	118	47	g(¬ς	g(¬ς	NOUN
ejpam-6225	118	48	)	)	PUNCT
ejpam-6225	118	49	,	,	PUNCT
ejpam-6225	118	50	¬ς	¬ς	NOUN
ejpam-6225	118	51	∈	∈	PROPN
ejpam-6225	118	52	ℵ	ℵ	NOUN
ejpam-6225	118	53	:	:	PUNCT
ejpam-6225	118	54	g(¬ς	g(¬ς	NOUN
ejpam-6225	118	55	)	)	PUNCT
ejpam-6225	118	56	∩	∩	NOUN
ejpam-6225	118	57	=	=	SYM
ejpam-6225	118	58	c	c	NOUN
ejpam-6225	118	59	/∈	/∈	PUNCT
ejpam-6225	119	1	l	l	NOUN
ejpam-6225	119	2	}	}	PUNCT
ejpam-6225	119	3			ADJ
ejpam-6225	119	4	are	be	AUX
ejpam-6225	119	5	called	call	VERB
ejpam-6225	119	6	the	the	DET
ejpam-6225	119	7	approximations	approximation	NOUN
ejpam-6225	119	8	of	of	ADP
ejpam-6225	119	9	=	=	PUNCT
ejpam-6225	119	10	and	and	CCONJ
ejpam-6225	119	11	are	be	AUX
ejpam-6225	119	12	considered	consider	VERB
ejpam-6225	119	13	to	to	PART
ejpam-6225	119	14	be	be	AUX
ejpam-6225	119	15	ideal	ideal	ADJ
ejpam-6225	119	16	soft	soft	ADJ
ejpam-6225	119	17	βl	βl	PUNCT
ejpam-6225	119	18	-lower	-lower	PROPN
ejpam-6225	119	19	positive	positive	ADJ
ejpam-6225	119	20	,	,	PUNCT
ejpam-6225	119	21	ideal	ideal	ADJ
ejpam-6225	119	22	soft	soft	ADJ
ejpam-6225	119	23	βl	βl	ADP
ejpam-6225	119	24	upper	upper	ADJ
ejpam-6225	119	25	positive	positive	ADJ
ejpam-6225	119	26	,	,	PUNCT
ejpam-6225	119	27	ideal	ideal	ADJ
ejpam-6225	119	28	soft	soft	ADJ
ejpam-6225	119	29	βl	βl	NOUN
ejpam-6225	119	30	-upper	-upper	NOUN
ejpam-6225	119	31	negative	negative	ADJ
ejpam-6225	119	32	,	,	PUNCT
ejpam-6225	119	33	and	and	CCONJ
ejpam-6225	119	34	ideal	ideal	ADJ
ejpam-6225	119	35	soft	soft	ADJ
ejpam-6225	119	36	βl	βl	ADP
ejpam-6225	119	37	-lower	-lower	NOUN
ejpam-6225	119	38	negative	negative	ADJ
ejpam-6225	119	39	,	,	PUNCT
ejpam-6225	119	40	respectively	respectively	ADV
ejpam-6225	119	41	.	.	PUNCT
ejpam-6225	120	1	moreover	moreover	ADV
ejpam-6225	120	2	,	,	PUNCT
ejpam-6225	120	3	the	the	DET
ejpam-6225	120	4	ordered	order	VERB
ejpam-6225	120	5	pairs	pair	NOUN
ejpam-6225	120	6	are	be	AUX
ejpam-6225	120	7	given	give	VERB
ejpam-6225	120	8	as	as	ADP
ejpam-6225	120	9	psfl	psfl	NOUN
ejpam-6225	120	10	β	β	PROPN
ejpam-6225	120	11	(	(	PUNCT
ejpam-6225	120	12	=)	=)	PROPN
ejpam-6225	120	13	=	=	SYM
ejpam-6225	120	14	(	(	PUNCT
ejpam-6225	120	15	sfl	sfl	PROPN
ejpam-6225	120	16	β+(=),sfl	β+(=),sfl	PUNCT
ejpam-6225	120	17	β−(=	β−(=	NUM
ejpam-6225	120	18	)	)	PUNCT
ejpam-6225	120	19	)	)	PUNCT
ejpam-6225	121	1	psf	psf	NOUN
ejpam-6225	121	2	l	l	NOUN
ejpam-6225	121	3	β	β	X
ejpam-6225	121	4	(	(	PUNCT
ejpam-6225	121	5	=)	=)	PROPN
ejpam-6225	121	6	=	=	SYM
ejpam-6225	121	7	(	(	PUNCT
ejpam-6225	121	8	sf	sf	PROPN
ejpam-6225	121	9	l	l	PROPN
ejpam-6225	121	10	β+(=),sf	β+(=),sf	PROPN
ejpam-6225	121	11	l	l	NOUN
ejpam-6225	121	12	β−(=	β−(=	PROPN
ejpam-6225	121	13	)	)	PUNCT
ejpam-6225	121	14	)	)	PUNCT
ejpam-6225	122	1			NOUN
ejpam-6225	122	2	are	be	AUX
ejpam-6225	122	3	called	call	VERB
ejpam-6225	122	4	the	the	DET
ejpam-6225	122	5	ideal	ideal	ADJ
ejpam-6225	122	6	bipolar	bipolar	ADJ
ejpam-6225	122	7	sas	sa	NOUN
ejpam-6225	122	8	of	of	ADP
ejpam-6225	122	9	=	=	PUNCT
ejpam-6225	122	10	with	with	ADP
ejpam-6225	122	11	respect	respect	NOUN
ejpam-6225	122	12	to	to	ADP
ejpam-6225	122	13	the	the	DET
ejpam-6225	122	14	ibsa	ibsa	NOUN
ejpam-6225	122	15	-	-	PUNCT
ejpam-6225	122	16	space	space	NOUN
ejpam-6225	122	17	.	.	PUNCT
ejpam-6225	123	1	3	3	X
ejpam-6225	123	2	.	.	NOUN
ejpam-6225	123	3	novel	novel	ADJ
ejpam-6225	123	4	style	style	NOUN
ejpam-6225	123	5	of	of	ADP
ejpam-6225	123	6	bipolar	bipolar	ADJ
ejpam-6225	123	7	soft	soft	ADJ
ejpam-6225	123	8	rough	rough	ADJ
ejpam-6225	123	9	sets	set	NOUN
ejpam-6225	123	10	approximation	approximation	NOUN
ejpam-6225	123	11	based	base	VERB
ejpam-6225	123	12	on	on	ADP
ejpam-6225	123	13	ideals	ideal	NOUN
ejpam-6225	123	14	definition	definition	NOUN
ejpam-6225	123	15	3.1	3.1	NUM
ejpam-6225	123	16	.	.	PUNCT
ejpam-6225	124	1	let	let	VERB
ejpam-6225	124	2	b	b	NOUN
ejpam-6225	124	3	=	=	SYM
ejpam-6225	124	4	(	(	PUNCT
ejpam-6225	124	5	f	f	X
ejpam-6225	124	6	,	,	PUNCT
ejpam-6225	124	7	g	g	NOUN
ejpam-6225	124	8	:	:	PUNCT
ejpam-6225	124	9	℘	℘	PROPN
ejpam-6225	124	10	)	)	PUNCT
ejpam-6225	124	11	∈	∈	PROPN
ejpam-6225	124	12	bssq	bssq	NOUN
ejpam-6225	124	13	and	and	CCONJ
ejpam-6225	124	14	l	l	NOUN
ejpam-6225	124	15	be	be	AUX
ejpam-6225	124	16	an	an	DET
ejpam-6225	124	17	ideal	ideal	NOUN
ejpam-6225	124	18	on	on	ADP
ejpam-6225	124	19	q.	q.	NOUN
ejpam-6225	124	20	the	the	DET
ejpam-6225	124	21	triple	triple	ADJ
ejpam-6225	124	22	βl	βl	NOUN
ejpam-6225	125	1	=	=	PUNCT
ejpam-6225	126	1	(	(	PUNCT
ejpam-6225	126	2	q	q	ADJ
ejpam-6225	126	3	,	,	PUNCT
ejpam-6225	126	4	(	(	PUNCT
ejpam-6225	126	5	f	f	X
ejpam-6225	126	6	,	,	PUNCT
ejpam-6225	126	7	g	g	NOUN
ejpam-6225	126	8	:	:	PUNCT
ejpam-6225	126	9	℘	℘	NUM
ejpam-6225	126	10	)	)	PUNCT
ejpam-6225	126	11	,	,	PUNCT
ejpam-6225	126	12	l	l	NOUN
ejpam-6225	126	13	)	)	PUNCT
ejpam-6225	126	14	is	be	AUX
ejpam-6225	126	15	called	call	VERB
ejpam-6225	126	16	an	an	DET
ejpam-6225	126	17	ideal	ideal	ADJ
ejpam-6225	126	18	bipolar	bipolar	ADJ
ejpam-6225	126	19	soft	soft	ADJ
ejpam-6225	126	20	approximation	approximation	NOUN
ejpam-6225	126	21	space	space	NOUN
ejpam-6225	126	22	(	(	PUNCT
ejpam-6225	126	23	ibsa	ibsa	NOUN
ejpam-6225	126	24	-	-	PUNCT
ejpam-6225	126	25	space	space	NOUN
ejpam-6225	126	26	for	for	ADP
ejpam-6225	126	27	short	short	ADJ
ejpam-6225	126	28	)	)	PUNCT
ejpam-6225	126	29	.	.	PUNCT
ejpam-6225	127	1	based	base	VERB
ejpam-6225	127	2	on	on	ADP
ejpam-6225	127	3	βl	βl	PROPN
ejpam-6225	127	4	,	,	PUNCT
ejpam-6225	127	5	the	the	DET
ejpam-6225	127	6	following	follow	VERB
ejpam-6225	127	7	operators	operator	NOUN
ejpam-6225	127	8	are	be	AUX
ejpam-6225	127	9	defined	define	VERB
ejpam-6225	127	10	for	for	ADP
ejpam-6225	127	11	any	any	DET
ejpam-6225	127	12	=	=	SYM
ejpam-6225	127	13	⊆	⊆	NUM
ejpam-6225	127	14	q	q	NOUN
ejpam-6225	127	15	by	by	ADP
ejpam-6225	127	16	:	:	PUNCT
ejpam-6225	127	17	srl	srl	PROPN
ejpam-6225	127	18	β+(=	β+(=	NOUN
ejpam-6225	127	19	)	)	PUNCT
ejpam-6225	128	1	=	=	SYM
ejpam-6225	128	2	⋃	⋃	NOUN
ejpam-6225	128	3	{	{	PUNCT
ejpam-6225	128	4	f(ς	f(ς	PROPN
ejpam-6225	128	5	)	)	PUNCT
ejpam-6225	128	6	,	,	PUNCT
ejpam-6225	128	7	ς	ς	PROPN
ejpam-6225	128	8	∈	∈	PROPN
ejpam-6225	128	9	℘	℘	PROPN
ejpam-6225	128	10	:	:	PUNCT
ejpam-6225	128	11	f(ς	f(ς	PROPN
ejpam-6225	128	12	)	)	PUNCT
ejpam-6225	128	13	∩	∩	NOUN
ejpam-6225	128	14	=	=	SYM
ejpam-6225	128	15	c	c	NOUN
ejpam-6225	128	16	∈	∈	NOUN
ejpam-6225	128	17	l	l	NOUN
ejpam-6225	128	18	}	}	PUNCT
ejpam-6225	128	19	,	,	PUNCT
ejpam-6225	128	20	sr	sr	PROPN
ejpam-6225	128	21	l	l	PROPN
ejpam-6225	128	22	β+(=	β+(=	PROPN
ejpam-6225	128	23	)	)	PUNCT
ejpam-6225	128	24	=	=	PRON
ejpam-6225	128	25	(	(	PUNCT
ejpam-6225	128	26	srl	srl	PROPN
ejpam-6225	128	27	β+	β+	PUNCT
ejpam-6225	128	28	(=	(=	NOUN
ejpam-6225	128	29	c	c	NOUN
ejpam-6225	128	30	)	)	PUNCT
ejpam-6225	128	31	)	)	PUNCT
ejpam-6225	129	1	c	c	NOUN
ejpam-6225	129	2	,	,	PUNCT
ejpam-6225	129	3	sr	sr	PROPN
ejpam-6225	129	4	l	l	PROPN
ejpam-6225	129	5	β−(=	β−(=	PROPN
ejpam-6225	129	6	)	)	PUNCT
ejpam-6225	129	7	=	=	SYM
ejpam-6225	129	8	⋃	⋃	NOUN
ejpam-6225	129	9	{	{	PUNCT
ejpam-6225	129	10	g(¬ς	g(¬ς	NOUN
ejpam-6225	129	11	)	)	PUNCT
ejpam-6225	129	12	,	,	PUNCT
ejpam-6225	129	13	¬ς	¬ς	NOUN
ejpam-6225	129	14	∈	∈	PROPN
ejpam-6225	129	15	ℵ	ℵ	NOUN
ejpam-6225	129	16	:	:	PUNCT
ejpam-6225	129	17	g(¬ς	g(¬ς	NOUN
ejpam-6225	129	18	)	)	PUNCT
ejpam-6225	129	19	∩	∩	NOUN
ejpam-6225	129	20	=	=	SYM
ejpam-6225	129	21	∈	∈	PROPN
ejpam-6225	129	22	l	l	NOUN
ejpam-6225	129	23	}	}	PUNCT
ejpam-6225	129	24	,	,	PUNCT
ejpam-6225	129	25	srl	srl	PROPN
ejpam-6225	129	26	β−(=	β−(=	X
ejpam-6225	129	27	)	)	PUNCT
ejpam-6225	129	28	=	=	PRON
ejpam-6225	129	29	(	(	PUNCT
ejpam-6225	129	30	sr	sr	PROPN
ejpam-6225	129	31	l	l	NOUN
ejpam-6225	129	32	β−	β−	PUNCT
ejpam-6225	129	33	(=	(=	ADJ
ejpam-6225	129	34	c	c	NOUN
ejpam-6225	129	35	)	)	PUNCT
ejpam-6225	129	36	)	)	PUNCT
ejpam-6225	130	1	c	c	NOUN
ejpam-6225	130	2			NOUN
ejpam-6225	130	3	are	be	AUX
ejpam-6225	130	4	called	call	VERB
ejpam-6225	130	5	the	the	DET
ejpam-6225	130	6	approximations	approximation	NOUN
ejpam-6225	130	7	of	of	ADP
ejpam-6225	130	8	=	=	PUNCT
ejpam-6225	130	9	and	and	CCONJ
ejpam-6225	130	10	are	be	AUX
ejpam-6225	130	11	considered	consider	VERB
ejpam-6225	130	12	to	to	PART
ejpam-6225	130	13	be	be	AUX
ejpam-6225	130	14	ideal	ideal	ADJ
ejpam-6225	130	15	soft	soft	ADJ
ejpam-6225	130	16	βl	βl	PUNCT
ejpam-6225	130	17	-lower	-lower	PROPN
ejpam-6225	130	18	positive	positive	ADJ
ejpam-6225	130	19	,	,	PUNCT
ejpam-6225	130	20	ideal	ideal	ADJ
ejpam-6225	130	21	soft	soft	ADJ
ejpam-6225	130	22	βl	βl	ADP
ejpam-6225	130	23	upper	upper	ADJ
ejpam-6225	130	24	positive	positive	ADJ
ejpam-6225	130	25	,	,	PUNCT
ejpam-6225	130	26	ideal	ideal	ADJ
ejpam-6225	130	27	soft	soft	ADJ
ejpam-6225	130	28	βl	βl	NOUN
ejpam-6225	130	29	-upper	-upper	NOUN
ejpam-6225	130	30	negative	negative	ADJ
ejpam-6225	130	31	,	,	PUNCT
ejpam-6225	130	32	and	and	CCONJ
ejpam-6225	130	33	ideal	ideal	ADJ
ejpam-6225	130	34	soft	soft	ADJ
ejpam-6225	130	35	βl	βl	ADP
ejpam-6225	130	36	-lower	-lower	NOUN
ejpam-6225	130	37	negative	negative	ADJ
ejpam-6225	130	38	,	,	PUNCT
ejpam-6225	130	39	respectively	respectively	ADV
ejpam-6225	130	40	.	.	PUNCT
ejpam-6225	131	1	moreover	moreover	ADV
ejpam-6225	131	2	,	,	PUNCT
ejpam-6225	131	3	the	the	DET
ejpam-6225	131	4	ordered	order	VERB
ejpam-6225	131	5	pairs	pair	NOUN
ejpam-6225	131	6	are	be	AUX
ejpam-6225	131	7	given	give	VERB
ejpam-6225	131	8	as	as	ADP
ejpam-6225	131	9	psrl	psrl	PROPN
ejpam-6225	131	10	β	β	X
ejpam-6225	131	11	(	(	PUNCT
ejpam-6225	131	12	=)	=)	PROPN
ejpam-6225	131	13	=	=	SYM
ejpam-6225	131	14	(	(	PUNCT
ejpam-6225	131	15	srl	srl	PROPN
ejpam-6225	131	16	β+(=),srl	β+(=),srl	PROPN
ejpam-6225	131	17	β−(=	β−(=	PROPN
ejpam-6225	131	18	)	)	PUNCT
ejpam-6225	131	19	)	)	PUNCT
ejpam-6225	131	20	psr	psr	PROPN
ejpam-6225	131	21	l	l	NOUN
ejpam-6225	131	22	β	β	X
ejpam-6225	131	23	(	(	PUNCT
ejpam-6225	131	24	=)	=)	PROPN
ejpam-6225	131	25	=	=	SYM
ejpam-6225	131	26	(	(	PUNCT
ejpam-6225	131	27	sr	sr	PROPN
ejpam-6225	131	28	l	l	NOUN
ejpam-6225	131	29	β+(=),sr	β+(=),sr	NUM
ejpam-6225	131	30	l	l	NOUN
ejpam-6225	131	31	β−(=	β−(=	PROPN
ejpam-6225	131	32	)	)	PUNCT
ejpam-6225	131	33	)	)	PUNCT
ejpam-6225	132	1			NOUN
ejpam-6225	132	2	are	be	AUX
ejpam-6225	132	3	called	call	VERB
ejpam-6225	132	4	the	the	DET
ejpam-6225	132	5	ideal	ideal	ADJ
ejpam-6225	132	6	bipolar	bipolar	ADJ
ejpam-6225	132	7	sas	sa	NOUN
ejpam-6225	132	8	of	of	ADP
ejpam-6225	132	9	=	=	PUNCT
ejpam-6225	132	10	with	with	ADP
ejpam-6225	132	11	respect	respect	NOUN
ejpam-6225	132	12	to	to	ADP
ejpam-6225	132	13	the	the	DET
ejpam-6225	132	14	ibsa	ibsa	NOUN
ejpam-6225	132	15	-	-	PUNCT
ejpam-6225	132	16	space	space	NOUN
ejpam-6225	132	17	.	.	PUNCT
ejpam-6225	133	1	moreover	moreover	ADV
ejpam-6225	133	2	,	,	PUNCT
ejpam-6225	133	3	when	when	SCONJ
ejpam-6225	133	4	psr	psr	PROPN
ejpam-6225	133	5	β	β	X
ejpam-6225	133	6	(	(	PUNCT
ejpam-6225	133	7	=)	=)	PROPN
ejpam-6225	133	8	6=	6=	SYM
ejpam-6225	133	9	psrβ(=	psrβ(=	NUM
ejpam-6225	133	10	)	)	PUNCT
ejpam-6225	133	11	then	then	ADV
ejpam-6225	133	12	,	,	PUNCT
ejpam-6225	133	13	=	=	PRON
ejpam-6225	133	14	is	be	AUX
ejpam-6225	133	15	termed	term	VERB
ejpam-6225	133	16	as	as	ADP
ejpam-6225	133	17	an	an	DET
ejpam-6225	133	18	ideal	ideal	ADJ
ejpam-6225	133	19	bipolar	bipolar	ADJ
ejpam-6225	133	20	soft	soft	ADJ
ejpam-6225	133	21	rough	rough	ADJ
ejpam-6225	133	22	set	set	NOUN
ejpam-6225	133	23	and	and	CCONJ
ejpam-6225	133	24	=	=	PRON
ejpam-6225	133	25	is	be	AUX
ejpam-6225	133	26	said	say	VERB
ejpam-6225	133	27	to	to	PART
ejpam-6225	133	28	be	be	AUX
ejpam-6225	133	29	ideal	ideal	ADJ
ejpam-6225	133	30	bipolar	bipolar	ADJ
ejpam-6225	133	31	soft	soft	ADJ
ejpam-6225	133	32	βl	βl	ADJ
ejpam-6225	133	33	-rough	-rough	NOUN
ejpam-6225	133	34	;	;	PUNCT
ejpam-6225	133	35	otherwise	otherwise	ADV
ejpam-6225	133	36	=	=	PUNCT
ejpam-6225	133	37	is	be	AUX
ejpam-6225	133	38	called	call	VERB
ejpam-6225	133	39	ideal	ideal	ADJ
ejpam-6225	133	40	bipolar	bipolar	ADJ
ejpam-6225	133	41	soft	soft	ADJ
ejpam-6225	133	42	βl	βl	ADP
ejpam-6225	133	43	-definable	-definable	ADJ
ejpam-6225	133	44	.	.	PUNCT
ejpam-6225	134	1	the	the	DET
ejpam-6225	134	2	related	related	ADJ
ejpam-6225	134	3	positive	positive	ADJ
ejpam-6225	134	4	,	,	PUNCT
ejpam-6225	134	5	boundary	boundary	ADJ
ejpam-6225	134	6	,	,	PUNCT
ejpam-6225	134	7	and	and	CCONJ
ejpam-6225	134	8	negative	negative	ADJ
ejpam-6225	134	9	regions	region	NOUN
ejpam-6225	134	10	with	with	ADP
ejpam-6225	134	11	respect	respect	NOUN
ejpam-6225	134	12	to	to	ADP
ejpam-6225	134	13	the	the	DET
ejpam-6225	134	14	ideal	ideal	ADJ
ejpam-6225	134	15	bipolar	bipolar	ADJ
ejpam-6225	134	16	sas	sa	NOUN
ejpam-6225	134	17	are	be	AUX
ejpam-6225	134	18	given	give	VERB
ejpam-6225	134	19	by	by	ADP
ejpam-6225	134	20	posl	posl	PROPN
ejpam-6225	134	21	β	β	X
ejpam-6225	134	22	(	(	PUNCT
ejpam-6225	134	23	=)	=)	PROPN
ejpam-6225	134	24	=	=	SYM
ejpam-6225	134	25	(	(	PUNCT
ejpam-6225	134	26	srl	srl	PROPN
ejpam-6225	134	27	β+(=),sr	β+(=),sr	NUM
ejpam-6225	134	28	l	l	NOUN
ejpam-6225	134	29	β−(=	β−(=	PROPN
ejpam-6225	134	30	)	)	PUNCT
ejpam-6225	134	31	)	)	PUNCT
ejpam-6225	134	32	,	,	PUNCT
ejpam-6225	135	1	bn	bn	INTJ
ejpam-6225	135	2	dl	dl	X
ejpam-6225	135	3	β	β	X
ejpam-6225	135	4	(	(	PUNCT
ejpam-6225	135	5	=)	=)	PROPN
ejpam-6225	135	6	=	=	SYM
ejpam-6225	135	7	(	(	PUNCT
ejpam-6225	135	8	sr	sr	PROPN
ejpam-6225	135	9	l	l	NOUN
ejpam-6225	135	10	β+(=	β+(=	PROPN
ejpam-6225	135	11	)	)	PUNCT
ejpam-6225	135	12	−	−	PROPN
ejpam-6225	135	13	srl	srl	PROPN
ejpam-6225	135	14	β+(=	β+(=	PROPN
ejpam-6225	135	15	)	)	PUNCT
ejpam-6225	135	16	,	,	PUNCT
ejpam-6225	135	17	srl	srl	PROPN
ejpam-6225	135	18	β−(=	β−(=	PROPN
ejpam-6225	135	19	)	)	PUNCT
ejpam-6225	135	20	−	−	PROPN
ejpam-6225	135	21	srβ−(=	srβ−(=	PROPN
ejpam-6225	135	22	)	)	PUNCT
ejpam-6225	135	23	)	)	PUNCT
ejpam-6225	136	1	n	n	DET
ejpam-6225	136	2	egl	egl	NOUN
ejpam-6225	136	3	β	β	X
ejpam-6225	136	4	(	(	PUNCT
ejpam-6225	136	5	=)	=)	PROPN
ejpam-6225	136	6	=(	=(	PROPN
ejpam-6225	136	7	q	q	NOUN
ejpam-6225	136	8	,	,	PUNCT
ejpam-6225	136	9	q	q	NOUN
ejpam-6225	136	10	)	)	PUNCT
ejpam-6225	136	11	−	−	PROPN
ejpam-6225	136	12	psr	psr	PROPN
ejpam-6225	136	13	l	l	NOUN
ejpam-6225	136	14	β	β	X
ejpam-6225	136	15	(	(	PUNCT
ejpam-6225	136	16	=)	=)	PROPN
ejpam-6225	136	17	=	=	SYM
ejpam-6225	136	18	(	(	PUNCT
ejpam-6225	136	19	(	(	PUNCT
ejpam-6225	136	20	sr	sr	PROPN
ejpam-6225	136	21	l	l	NOUN
ejpam-6225	136	22	β+(=	β+(=	PROPN
ejpam-6225	136	23	)	)	PUNCT
ejpam-6225	136	24	)	)	PUNCT
ejpam-6225	137	1	c	c	NOUN
ejpam-6225	137	2	,	,	PUNCT
ejpam-6225	137	3	(	(	PUNCT
ejpam-6225	137	4	srl	srl	PROPN
ejpam-6225	137	5	β−(=	β−(=	PROPN
ejpam-6225	137	6	)	)	PUNCT
ejpam-6225	137	7	)	)	PUNCT
ejpam-6225	138	1	c	c	X
ejpam-6225	138	2	)	)	PUNCT
ejpam-6225	138	3	.	.	PUNCT
ejpam-6225	139	1	remark	remark	PROPN
ejpam-6225	139	2	3.1	3.1	NUM
ejpam-6225	139	3	.	.	PUNCT
ejpam-6225	140	1	let	let	VERB
ejpam-6225	140	2	b	b	NOUN
ejpam-6225	140	3	=	=	SYM
ejpam-6225	140	4	(	(	PUNCT
ejpam-6225	140	5	f	f	X
ejpam-6225	140	6	,	,	PUNCT
ejpam-6225	140	7	g	g	NOUN
ejpam-6225	140	8	:	:	PUNCT
ejpam-6225	140	9	℘	℘	PROPN
ejpam-6225	140	10	)	)	PUNCT
ejpam-6225	140	11	∈	∈	PROPN
ejpam-6225	140	12	bssq	bssq	NOUN
ejpam-6225	140	13	and	and	CCONJ
ejpam-6225	140	14	βl	βl	NOUN
ejpam-6225	140	15	=	=	PUNCT
ejpam-6225	140	16	(	(	PUNCT
ejpam-6225	140	17	q	q	ADJ
ejpam-6225	140	18	,	,	PUNCT
ejpam-6225	140	19	(	(	PUNCT
ejpam-6225	140	20	f	f	X
ejpam-6225	140	21	,	,	PUNCT
ejpam-6225	140	22	g	g	NOUN
ejpam-6225	140	23	:	:	PUNCT
ejpam-6225	140	24	℘	℘	NUM
ejpam-6225	140	25	)	)	PUNCT
ejpam-6225	140	26	,	,	PUNCT
ejpam-6225	140	27	l	l	NOUN
ejpam-6225	140	28	)	)	PUNCT
ejpam-6225	140	29	be	be	AUX
ejpam-6225	140	30	ibsa	ibsa	NOUN
ejpam-6225	140	31	-	-	NOUN
ejpam-6225	140	32	space	space	NOUN
ejpam-6225	140	33	.	.	PUNCT
ejpam-6225	141	1	from	from	ADP
ejpam-6225	141	2	definition	definition	NOUN
ejpam-6225	141	3	3.1	3.1	NUM
ejpam-6225	141	4	,	,	PUNCT
ejpam-6225	141	5	we	we	PRON
ejpam-6225	141	6	deduce	deduce	VERB
ejpam-6225	141	7	that	that	SCONJ
ejpam-6225	141	8	:	:	PUNCT
ejpam-6225	141	9	(	(	PUNCT
ejpam-6225	141	10	1	1	X
ejpam-6225	141	11	)	)	PUNCT
ejpam-6225	141	12	=	=	NOUN
ejpam-6225	142	1	⊆	⊆	NUM
ejpam-6225	142	2	q	q	NOUN
ejpam-6225	142	3	is	be	AUX
ejpam-6225	142	4	ideal	ideal	ADJ
ejpam-6225	142	5	bipolar	bipolar	ADJ
ejpam-6225	142	6	soft	soft	ADJ
ejpam-6225	142	7	rough	rough	ADJ
ejpam-6225	142	8	definable	definable	ADJ
ejpam-6225	142	9	when	when	SCONJ
ejpam-6225	142	10	bn	bn	PROPN
ejpam-6225	142	11	dl	dl	X
ejpam-6225	142	12	β	β	X
ejpam-6225	142	13	(	(	PUNCT
ejpam-6225	142	14	=)	=)	PROPN
ejpam-6225	142	15	=	=	SYM
ejpam-6225	142	16	(	(	PUNCT
ejpam-6225	142	17	∅	∅	NOUN
ejpam-6225	142	18	,	,	PUNCT
ejpam-6225	142	19	∅	∅	NOUN
ejpam-6225	142	20	)	)	PUNCT
ejpam-6225	142	21	.	.	PUNCT
ejpam-6225	143	1	d.	d.	PROPN
ejpam-6225	143	2	shi	shi	PROPN
ejpam-6225	143	3	et	et	PROPN
ejpam-6225	143	4	al	al	PROPN
ejpam-6225	143	5	.	.	PUNCT
ejpam-6225	143	6	/	/	SYM
ejpam-6225	143	7	eur	eur	PROPN
ejpam-6225	143	8	.	.	PUNCT
ejpam-6225	144	1	j.	j.	PROPN
ejpam-6225	144	2	pure	pure	PROPN
ejpam-6225	144	3	appl	appl	PROPN
ejpam-6225	144	4	.	.	PROPN
ejpam-6225	144	5	math	math	PROPN
ejpam-6225	144	6	,	,	PUNCT
ejpam-6225	144	7	18	18	NUM
ejpam-6225	144	8	(	(	PUNCT
ejpam-6225	144	9	4	4	NUM
ejpam-6225	144	10	)	)	PUNCT
ejpam-6225	144	11	(	(	PUNCT
ejpam-6225	144	12	2025	2025	NUM
ejpam-6225	144	13	)	)	PUNCT
ejpam-6225	144	14	,	,	PUNCT
ejpam-6225	144	15	6225	6225	NUM
ejpam-6225	144	16	6	6	NUM
ejpam-6225	144	17	of	of	ADP
ejpam-6225	144	18	36	36	NUM
ejpam-6225	144	19	(	(	PUNCT
ejpam-6225	144	20	2	2	NUM
ejpam-6225	144	21	)	)	PUNCT
ejpam-6225	144	22	the	the	DET
ejpam-6225	144	23	ideal	ideal	ADJ
ejpam-6225	144	24	soft	soft	ADJ
ejpam-6225	144	25	lower	low	ADJ
ejpam-6225	144	26	pas	pas	NOUN
ejpam-6225	144	27	in	in	ADP
ejpam-6225	144	28	definition	definition	NOUN
ejpam-6225	144	29	2.12	2.12	NUM
ejpam-6225	144	30	in	in	ADP
ejpam-6225	144	31	[	[	X
ejpam-6225	144	32	35	35	NUM
ejpam-6225	144	33	]	]	PUNCT
ejpam-6225	144	34	and	and	CCONJ
ejpam-6225	144	35	ideal	ideal	ADJ
ejpam-6225	144	36	soft	soft	ADJ
ejpam-6225	144	37	βl	βl	ADP
ejpam-6225	144	38	-lower	-lower	NOUN
ejpam-6225	144	39	pas	pas	NOUN
ejpam-6225	144	40	of	of	ADP
ejpam-6225	144	41	=	=	PUNCT
ejpam-6225	144	42	are	be	AUX
ejpam-6225	144	43	identical	identical	ADJ
ejpam-6225	144	44	.	.	PUNCT
ejpam-6225	145	1	that	that	PRON
ejpam-6225	145	2	is	be	AUX
ejpam-6225	145	3	,	,	PUNCT
ejpam-6225	145	4	sfl	sfl	PROPN
ejpam-6225	145	5	β+(=	β+(=	NUM
ejpam-6225	145	6	)	)	PUNCT
ejpam-6225	146	1	=	=	SYM
ejpam-6225	146	2	srl	srl	PROPN
ejpam-6225	146	3	β+(=	β+(=	NOUN
ejpam-6225	146	4	)	)	PUNCT
ejpam-6225	146	5	.	.	PUNCT
ejpam-6225	147	1	(	(	PUNCT
ejpam-6225	147	2	3	3	X
ejpam-6225	147	3	)	)	PUNCT
ejpam-6225	147	4	the	the	DET
ejpam-6225	147	5	ideal	ideal	ADJ
ejpam-6225	147	6	soft	soft	ADJ
ejpam-6225	147	7	upper	upper	ADJ
ejpam-6225	147	8	nas	nas	NOUN
ejpam-6225	147	9	in	in	ADP
ejpam-6225	147	10	definition	definition	NOUN
ejpam-6225	147	11	2.12	2.12	NUM
ejpam-6225	147	12	in	in	ADP
ejpam-6225	147	13	[	[	X
ejpam-6225	147	14	35	35	NUM
ejpam-6225	147	15	]	]	PUNCT
ejpam-6225	147	16	and	and	CCONJ
ejpam-6225	147	17	ideal	ideal	ADJ
ejpam-6225	147	18	soft	soft	ADJ
ejpam-6225	147	19	βl	βl	NOUN
ejpam-6225	147	20	-upper	-upper	NOUN
ejpam-6225	147	21	nas	nas	PROPN
ejpam-6225	147	22	of	of	ADP
ejpam-6225	147	23	=	=	PUNCT
ejpam-6225	147	24	are	be	AUX
ejpam-6225	147	25	identical	identical	ADJ
ejpam-6225	147	26	.	.	PUNCT
ejpam-6225	148	1	that	that	PRON
ejpam-6225	148	2	is	is	ADV
ejpam-6225	148	3	,	,	PUNCT
ejpam-6225	148	4	sf	sf	PROPN
ejpam-6225	148	5	l	l	NOUN
ejpam-6225	148	6	β−(=	β−(=	X
ejpam-6225	148	7	)	)	PUNCT
ejpam-6225	148	8	=	=	SYM
ejpam-6225	148	9	sr	sr	PROPN
ejpam-6225	148	10	l	l	PROPN
ejpam-6225	148	11	β−(=	β−(=	PROPN
ejpam-6225	148	12	)	)	PUNCT
ejpam-6225	148	13	.	.	PUNCT
ejpam-6225	149	1	(	(	PUNCT
ejpam-6225	149	2	4	4	X
ejpam-6225	149	3	)	)	PUNCT
ejpam-6225	149	4	if	if	SCONJ
ejpam-6225	149	5	l	l	NOUN
ejpam-6225	149	6	=	=	NOUN
ejpam-6225	149	7	∅	∅	NOUN
ejpam-6225	149	8	in	in	ADP
ejpam-6225	149	9	definition	definition	NOUN
ejpam-6225	149	10	3.1	3.1	NUM
ejpam-6225	149	11	,	,	PUNCT
ejpam-6225	149	12	then	then	ADV
ejpam-6225	149	13	these	these	DET
ejpam-6225	149	14	ideal	ideal	ADJ
ejpam-6225	149	15	bipolar	bipolar	ADJ
ejpam-6225	149	16	sas	sa	NOUN
ejpam-6225	149	17	coincide	coincide	NOUN
ejpam-6225	149	18	with	with	ADP
ejpam-6225	149	19	these	these	DET
ejpam-6225	149	20	bipolar	bipolar	ADJ
ejpam-6225	149	21	soft	soft	ADJ
ejpam-6225	149	22	rough	rough	ADJ
ejpam-6225	149	23	approximations	approximation	NOUN
ejpam-6225	149	24	in	in	ADP
ejpam-6225	149	25	definition	definition	NOUN
ejpam-6225	149	26	2.9	2.9	NUM
ejpam-6225	149	27	in	in	ADP
ejpam-6225	149	28	[	[	X
ejpam-6225	149	29	34	34	NUM
ejpam-6225	149	30	]	]	PUNCT
ejpam-6225	149	31	.	.	PUNCT
ejpam-6225	150	1	so	so	ADV
ejpam-6225	150	2	,	,	PUNCT
ejpam-6225	150	3	the	the	DET
ejpam-6225	150	4	bipolar	bipolar	ADJ
ejpam-6225	150	5	soft	soft	ADJ
ejpam-6225	150	6	rough	rough	ADJ
ejpam-6225	150	7	approximations	approximation	NOUN
ejpam-6225	150	8	in	in	ADP
ejpam-6225	150	9	[	[	X
ejpam-6225	150	10	34	34	NUM
ejpam-6225	150	11	]	]	PUNCT
ejpam-6225	150	12	are	be	AUX
ejpam-6225	150	13	special	special	ADJ
ejpam-6225	150	14	cases	case	NOUN
ejpam-6225	150	15	of	of	ADP
ejpam-6225	150	16	these	these	DET
ejpam-6225	150	17	ideal	ideal	ADJ
ejpam-6225	150	18	bipolar	bipolar	ADJ
ejpam-6225	150	19	sas	sas	NOUN
ejpam-6225	150	20	.	.	PUNCT
ejpam-6225	151	1	(	(	PUNCT
ejpam-6225	151	2	5	5	NUM
ejpam-6225	151	3	)	)	PUNCT
ejpam-6225	151	4	for	for	ADP
ejpam-6225	151	5	=	=	SYM
ejpam-6225	151	6	⊆	⊆	NUM
ejpam-6225	151	7	q	q	NOUN
ejpam-6225	151	8	,	,	PUNCT
ejpam-6225	151	9	we	we	PRON
ejpam-6225	151	10	have	have	VERB
ejpam-6225	151	11	srl	srl	PROPN
ejpam-6225	151	12	β+(=	β+(=	NOUN
ejpam-6225	151	13	)	)	PUNCT
ejpam-6225	152	1	⊆	⊆	X
ejpam-6225	152	2	=	=	PROPN
ejpam-6225	152	3	,	,	PUNCT
ejpam-6225	152	4	sr	sr	PROPN
ejpam-6225	152	5	l	l	PROPN
ejpam-6225	152	6	β−(=	β−(=	PROPN
ejpam-6225	152	7	)	)	PUNCT
ejpam-6225	152	8	⊆	⊆	NUM
ejpam-6225	152	9	=	=	SYM
ejpam-6225	152	10	c	c	X
ejpam-6225	152	11	,	,	PUNCT
ejpam-6225	152	12	sr	sr	PROPN
ejpam-6225	152	13	l	l	PROPN
ejpam-6225	152	14	β+(=	β+(=	NOUN
ejpam-6225	152	15	)	)	PUNCT
ejpam-6225	152	16	⊇	⊇	NOUN
ejpam-6225	152	17	=	=	PUNCT
ejpam-6225	152	18	and	and	CCONJ
ejpam-6225	152	19	srl	srl	PROPN
ejpam-6225	152	20	β−(=	β−(=	PROPN
ejpam-6225	152	21	)	)	PUNCT
ejpam-6225	152	22	⊇	⊇	NOUN
ejpam-6225	152	23	=	=	PROPN
ejpam-6225	152	24	c	c	PROPN
ejpam-6225	152	25	did	do	AUX
ejpam-6225	152	26	not	not	PART
ejpam-6225	152	27	hold	hold	VERB
ejpam-6225	152	28	in	in	ADP
ejpam-6225	152	29	general	general	ADJ
ejpam-6225	152	30	.	.	PUNCT
ejpam-6225	153	1	moreover	moreover	ADV
ejpam-6225	153	2	,	,	PUNCT
ejpam-6225	153	3	it	it	PRON
ejpam-6225	153	4	is	be	AUX
ejpam-6225	153	5	not	not	PART
ejpam-6225	153	6	necessary	necessary	ADJ
ejpam-6225	153	7	to	to	PART
ejpam-6225	153	8	be	be	AUX
ejpam-6225	153	9	srl	srl	PROPN
ejpam-6225	153	10	β+(=	β+(=	NOUN
ejpam-6225	153	11	)	)	PUNCT
ejpam-6225	153	12	∩	∩	PROPN
ejpam-6225	153	13	srl	srl	PROPN
ejpam-6225	153	14	β−(=	β−(=	PROPN
ejpam-6225	153	15	)	)	PUNCT
ejpam-6225	153	16	=	=	PUNCT
ejpam-6225	153	17	∅.	∅.	X
ejpam-6225	153	18	(	(	PUNCT
ejpam-6225	153	19	6	6	NUM
ejpam-6225	153	20	)	)	PUNCT
ejpam-6225	153	21	we	we	PRON
ejpam-6225	153	22	see	see	VERB
ejpam-6225	153	23	that	that	SCONJ
ejpam-6225	153	24	srl	srl	PROPN
ejpam-6225	153	25	β+(=	β+(=	NOUN
ejpam-6225	153	26	)	)	PUNCT
ejpam-6225	153	27	and	and	CCONJ
ejpam-6225	153	28	sr	sr	PROPN
ejpam-6225	153	29	l	l	PROPN
ejpam-6225	153	30	β+(=	β+(=	PROPN
ejpam-6225	153	31	)	)	PUNCT
ejpam-6225	153	32	coincides	coincide	VERB
ejpam-6225	153	33	with	with	ADP
ejpam-6225	153	34	the	the	DET
ejpam-6225	153	35	definition	definition	NOUN
ejpam-6225	153	36	2.8	2.8	NUM
ejpam-6225	153	37	given	give	VERB
ejpam-6225	153	38	in	in	ADP
ejpam-6225	153	39	[	[	X
ejpam-6225	153	40	20	20	NUM
ejpam-6225	153	41	]	]	PUNCT
ejpam-6225	153	42	.	.	PUNCT
ejpam-6225	154	1	that	that	PRON
ejpam-6225	154	2	is	be	AUX
ejpam-6225	154	3	,	,	PUNCT
ejpam-6225	154	4	srl	srl	PROPN
ejpam-6225	154	5	β−(=	β−(=	NOUN
ejpam-6225	154	6	)	)	PUNCT
ejpam-6225	154	7	=	=	SYM
ejpam-6225	154	8	srl	srl	PROPN
ejpam-6225	154	9	(	(	PUNCT
ejpam-6225	154	10	=)	=)	PROPN
ejpam-6225	154	11	and	and	CCONJ
ejpam-6225	154	12	sr	sr	PROPN
ejpam-6225	154	13	l	l	PROPN
ejpam-6225	154	14	β−(=	β−(=	PROPN
ejpam-6225	154	15	)	)	PUNCT
ejpam-6225	155	1	=	=	NOUN
ejpam-6225	155	2	sr	sr	PROPN
ejpam-6225	155	3	l	l	NOUN
ejpam-6225	155	4	(	(	PUNCT
ejpam-6225	155	5	=)	=)	PROPN
ejpam-6225	155	6	.	.	PUNCT
ejpam-6225	155	7	here	here	ADV
ejpam-6225	155	8	,	,	PUNCT
ejpam-6225	155	9	we	we	PRON
ejpam-6225	155	10	offer	offer	VERB
ejpam-6225	155	11	the	the	DET
ejpam-6225	155	12	following	following	ADJ
ejpam-6225	155	13	example	example	NOUN
ejpam-6225	155	14	to	to	PART
ejpam-6225	155	15	make	make	VERB
ejpam-6225	155	16	the	the	DET
ejpam-6225	155	17	idea	idea	NOUN
ejpam-6225	155	18	of	of	ADP
ejpam-6225	155	19	ideal	ideal	ADJ
ejpam-6225	155	20	bipolar	bipolar	ADJ
ejpam-6225	155	21	sas	sa	VERB
ejpam-6225	155	22	clear	clear	ADJ
ejpam-6225	155	23	.	.	PUNCT
ejpam-6225	156	1	example	example	NOUN
ejpam-6225	156	2	3.1	3.1	NUM
ejpam-6225	156	3	.	.	PUNCT
ejpam-6225	157	1	let	let	VERB
ejpam-6225	157	2	(	(	PUNCT
ejpam-6225	157	3	f	f	X
ejpam-6225	157	4	,	,	PUNCT
ejpam-6225	157	5	g	g	NOUN
ejpam-6225	157	6	:	:	PUNCT
ejpam-6225	157	7	℘	℘	PROPN
ejpam-6225	157	8	)	)	PUNCT
ejpam-6225	157	9	∈	∈	PROPN
ejpam-6225	157	10	bssq	bssq	NOUN
ejpam-6225	157	11	with	with	ADP
ejpam-6225	157	12	q	q	NOUN
ejpam-6225	157	13	=	=	SYM
ejpam-6225	157	14	1ג	1ג	NUM
ejpam-6225	157	15	}	}	PUNCT
ejpam-6225	157	16	,	,	PUNCT
ejpam-6225	157	17	,	,	PUNCT
ejpam-6225	157	18	2ג	2ג	NUM
ejpam-6225	157	19	,	,	PUNCT
ejpam-6225	157	20	3ג	3ג	NUM
ejpam-6225	157	21	,	,	PUNCT
ejpam-6225	157	22	4ג	4ג	NOUN
ejpam-6225	157	23	,	,	PUNCT
ejpam-6225	157	24	5ג	5ג	NOUN
ejpam-6225	157	25	{	{	PUNCT
ejpam-6225	157	26	6ג	6ג	NOUN
ejpam-6225	157	27	and	and	CCONJ
ejpam-6225	157	28	℘	℘	PROPN
ejpam-6225	157	29	=	=	SYM
ejpam-6225	157	30	{	{	PUNCT
ejpam-6225	157	31	ς1	ς1	NOUN
ejpam-6225	157	32	,	,	PUNCT
ejpam-6225	157	33	ς2	ς2	PROPN
ejpam-6225	157	34	,	,	PUNCT
ejpam-6225	157	35	ς3	ς3	NOUN
ejpam-6225	157	36	,	,	PUNCT
ejpam-6225	157	37	ς4	ς4	PROPN
ejpam-6225	157	38	}	}	PUNCT
ejpam-6225	157	39	.	.	PUNCT
ejpam-6225	158	1	the	the	DET
ejpam-6225	158	2	maps	maps	PROPN
ejpam-6225	158	3	f	f	PROPN
ejpam-6225	158	4	and	and	CCONJ
ejpam-6225	158	5	g	g	PROPN
ejpam-6225	158	6	are	be	AUX
ejpam-6225	158	7	given	give	VERB
ejpam-6225	158	8	as	as	ADP
ejpam-6225	158	9	follow	follow	NOUN
ejpam-6225	158	10	:	:	PUNCT
ejpam-6225	158	11	f	f	X
ejpam-6225	158	12	:	:	PUNCT
ejpam-6225	158	13	℘	℘	VERB
ejpam-6225	158	14	−→	−→	NOUN
ejpam-6225	158	15	2q	2q	NOUN
ejpam-6225	158	16	,	,	PUNCT
ejpam-6225	158	17	ς	ς	PROPN
ejpam-6225	158	18	7→	7→	NUM
ejpam-6225	158	19			NUM
ejpam-6225	158	20	,	,	PUNCT
ejpam-6225	158	21	1ג	1ג	NUM
ejpam-6225	158	22	}	}	PUNCT
ejpam-6225	158	23	{	{	PUNCT
ejpam-6225	158	24	6ג	6ג	NUM
ejpam-6225	158	25	,	,	PUNCT
ejpam-6225	158	26	if	if	SCONJ
ejpam-6225	158	27	ς	ς	PROPN
ejpam-6225	158	28	=	=	PUNCT
ejpam-6225	158	29	ς1	ς1	NOUN
ejpam-6225	158	30	,	,	PUNCT
ejpam-6225	158	31	,	,	PUNCT
ejpam-6225	158	32	3ג	3ג	NOUN
ejpam-6225	158	33	}	}	PUNCT
ejpam-6225	158	34	{	{	PUNCT
ejpam-6225	158	35	4ג	4ג	NOUN
ejpam-6225	158	36	,	,	PUNCT
ejpam-6225	158	37	if	if	SCONJ
ejpam-6225	158	38	ς	ς	PROPN
ejpam-6225	158	39	=	=	SYM
ejpam-6225	158	40	ς2	ς2	PROPN
ejpam-6225	158	41	,	,	PUNCT
ejpam-6225	158	42	{	{	PUNCT
ejpam-6225	158	43	}	}	PUNCT
ejpam-6225	158	44	,	,	PUNCT
ejpam-6225	158	45	if	if	SCONJ
ejpam-6225	158	46	ς	ς	PROPN
ejpam-6225	158	47	=	=	SYM
ejpam-6225	158	48	ς3	ς3	PROPN
ejpam-6225	158	49	,	,	PUNCT
ejpam-6225	158	50	,	,	PUNCT
ejpam-6225	158	51	2ג	2ג	NUM
ejpam-6225	158	52	}	}	PUNCT
ejpam-6225	158	53	{	{	PUNCT
ejpam-6225	158	54	5ג	5ג	NOUN
ejpam-6225	158	55	,	,	PUNCT
ejpam-6225	158	56	if	if	SCONJ
ejpam-6225	158	57	ς	ς	PROPN
ejpam-6225	158	58	=	=	PROPN
ejpam-6225	158	59	ς4	ς4	PROPN
ejpam-6225	158	60	,	,	PUNCT
ejpam-6225	158	61	and	and	CCONJ
ejpam-6225	158	62	g	g	NOUN
ejpam-6225	158	63	:	:	PUNCT
ejpam-6225	158	64	ℵ	ℵ	X
ejpam-6225	158	65	−→	−→	NOUN
ejpam-6225	158	66	2q	2q	NOUN
ejpam-6225	158	67	,	,	PUNCT
ejpam-6225	158	68	¬ς	¬ς	PROPN
ejpam-6225	158	69	7→	7→	NUM
ejpam-6225	158	70			NUM
ejpam-6225	158	71	,	,	PUNCT
ejpam-6225	158	72	3ג	3ג	NOUN
ejpam-6225	158	73	}	}	PUNCT
ejpam-6225	158	74	{	{	PUNCT
ejpam-6225	158	75	5ג	5ג	NOUN
ejpam-6225	158	76	,	,	PUNCT
ejpam-6225	158	77	if	if	SCONJ
ejpam-6225	158	78	¬ς	¬ς	NOUN
ejpam-6225	158	79	=	=	SYM
ejpam-6225	158	80	¬ς1	¬ς1	ADV
ejpam-6225	158	81	,	,	PUNCT
ejpam-6225	158	82	{	{	PUNCT
ejpam-6225	158	83	5ג	5ג	NOUN
ejpam-6225	158	84	}	}	PUNCT
ejpam-6225	158	85	,	,	PUNCT
ejpam-6225	158	86	if	if	SCONJ
ejpam-6225	158	87	¬ς	¬ς	NOUN
ejpam-6225	158	88	=	=	SYM
ejpam-6225	158	89	¬ς2	¬ς2	NOUN
ejpam-6225	158	90	,	,	PUNCT
ejpam-6225	158	91	,	,	PUNCT
ejpam-6225	158	92	2ג	2ג	NUM
ejpam-6225	158	93	}	}	PUNCT
ejpam-6225	158	94	{	{	PUNCT
ejpam-6225	158	95	6ג	6ג	NUM
ejpam-6225	158	96	,	,	PUNCT
ejpam-6225	158	97	if	if	SCONJ
ejpam-6225	158	98	¬ς	¬ς	NOUN
ejpam-6225	158	99	=	=	SYM
ejpam-6225	158	100	¬ς3	¬ς3	NOUN
ejpam-6225	158	101	,	,	PUNCT
ejpam-6225	158	102	{	{	PUNCT
ejpam-6225	158	103	4ג	4ג	NOUN
ejpam-6225	158	104	}	}	PUNCT
ejpam-6225	158	105	,	,	PUNCT
ejpam-6225	158	106	if	if	SCONJ
ejpam-6225	158	107	¬ς	¬ς	NOUN
ejpam-6225	158	108	=	=	SYM
ejpam-6225	158	109	¬ς4	¬ς4	NOUN
ejpam-6225	158	110	.	.	PUNCT
ejpam-6225	159	1	define	define	VERB
ejpam-6225	159	2	an	an	DET
ejpam-6225	159	3	ideal	ideal	ADJ
ejpam-6225	159	4	l	l	NOUN
ejpam-6225	159	5	on	on	ADP
ejpam-6225	159	6	q	q	NOUN
ejpam-6225	159	7	as	as	ADP
ejpam-6225	159	8	l	l	NOUN
ejpam-6225	159	9	=	=	SYM
ejpam-6225	159	10	{	{	PUNCT
ejpam-6225	159	11	∅	∅	NOUN
ejpam-6225	159	12	,	,	PUNCT
ejpam-6225	159	13	,	,	PUNCT
ejpam-6225	159	14	{	{	PUNCT
ejpam-6225	159	15	2ג	2ג	NOUN
ejpam-6225	159	16	}	}	PUNCT
ejpam-6225	159	17	,	,	PUNCT
ejpam-6225	159	18	{	{	PUNCT
ejpam-6225	159	19	3ג	3ג	NOUN
ejpam-6225	159	20	}	}	PUNCT
ejpam-6225	159	21	,	,	PUNCT
ejpam-6225	159	22	2ג	2ג	NUM
ejpam-6225	159	23	}	}	PUNCT
ejpam-6225	159	24	.{{3ג	.{{3ג	NOUN
ejpam-6225	160	1	according	accord	VERB
ejpam-6225	160	2	to	to	ADP
ejpam-6225	160	3	definition	definition	NOUN
ejpam-6225	160	4	3.1	3.1	NUM
ejpam-6225	160	5	,	,	PUNCT
ejpam-6225	160	6	we	we	PRON
ejpam-6225	160	7	can	can	AUX
ejpam-6225	160	8	evaluate	evaluate	VERB
ejpam-6225	160	9	the	the	DET
ejpam-6225	160	10	ideal	ideal	ADJ
ejpam-6225	160	11	bipolar	bipolar	ADJ
ejpam-6225	160	12	sas	sa	NOUN
ejpam-6225	160	13	of	of	ADP
ejpam-6225	160	14	=	=	SYM
ejpam-6225	160	15	=	=	NOUN
ejpam-6225	160	16	,	,	PUNCT
ejpam-6225	160	17	3ג	3ג	NOUN
ejpam-6225	160	18	}	}	PUNCT
ejpam-6225	160	19	,	,	PUNCT
ejpam-6225	160	20	4ג	4ג	NOUN
ejpam-6225	160	21	{	{	PUNCT
ejpam-6225	160	22	5ג	5ג	NOUN
ejpam-6225	160	23	⊆	⊆	NUM
ejpam-6225	160	24	q	q	NOUN
ejpam-6225	160	25	as	as	SCONJ
ejpam-6225	160	26	follows	follow	VERB
ejpam-6225	160	27	.	.	PUNCT
ejpam-6225	161	1	srl	srl	PROPN
ejpam-6225	161	2	β+(=	β+(=	NUM
ejpam-6225	161	3	)	)	PUNCT
ejpam-6225	162	1	=	=	NOUN
ejpam-6225	162	2	,	,	PUNCT
ejpam-6225	162	3	3ג	3ג	NOUN
ejpam-6225	162	4	}	}	PUNCT
ejpam-6225	162	5	{	{	PUNCT
ejpam-6225	162	6	4ג	4ג	NOUN
ejpam-6225	162	7	sr	sr	PROPN
ejpam-6225	162	8	l	l	PROPN
ejpam-6225	162	9	β+(=	β+(=	PROPN
ejpam-6225	162	10	)	)	PUNCT
ejpam-6225	162	11	=	=	SYM
ejpam-6225	162	12	,	,	PUNCT
ejpam-6225	162	13	2ג	2ג	NUM
ejpam-6225	162	14	}	}	PUNCT
ejpam-6225	162	15	{	{	PUNCT
ejpam-6225	162	16	5ג	5ג	NOUN
ejpam-6225	162	17	,	,	PUNCT
ejpam-6225	162	18	sr	sr	PROPN
ejpam-6225	162	19	l	l	PROPN
ejpam-6225	162	20	β−(=	β−(=	PROPN
ejpam-6225	162	21	)	)	PUNCT
ejpam-6225	162	22	=	=	SYM
ejpam-6225	162	23	,	,	PUNCT
ejpam-6225	162	24	2ג	2ג	NUM
ejpam-6225	162	25	}	}	PUNCT
ejpam-6225	162	26	{	{	PUNCT
ejpam-6225	162	27	6ג	6ג	NUM
ejpam-6225	162	28	,	,	PUNCT
ejpam-6225	162	29	srl	srl	PROPN
ejpam-6225	162	30	β−(=	β−(=	PROPN
ejpam-6225	162	31	)	)	PUNCT
ejpam-6225	162	32	=	=	SYM
ejpam-6225	162	33	,	,	PUNCT
ejpam-6225	162	34	1ג	1ג	NUM
ejpam-6225	162	35	}	}	PUNCT
ejpam-6225	162	36	{	{	PUNCT
ejpam-6225	162	37	6ג	6ג	NOUN
ejpam-6225	162	38	.	.	PUNCT
ejpam-6225	163	1	therefore	therefore	ADV
ejpam-6225	163	2	,	,	PUNCT
ejpam-6225	163	3	psrl	psrl	PROPN
ejpam-6225	163	4	β	β	X
ejpam-6225	163	5	(	(	PUNCT
ejpam-6225	163	6	=)	=)	PROPN
ejpam-6225	163	7	=	=	SYM
ejpam-6225	163	8	(	(	PUNCT
ejpam-6225	163	9	srl	srl	PROPN
ejpam-6225	163	10	β+(=),srl	β+(=),srl	PROPN
ejpam-6225	163	11	β−(=	β−(=	PROPN
ejpam-6225	163	12	)	)	PUNCT
ejpam-6225	163	13	)	)	PUNCT
ejpam-6225	163	14	=	=	NOUN
ejpam-6225	163	15	,	,	PUNCT
ejpam-6225	163	16	3ג	3ג	NOUN
ejpam-6225	163	17	}	}	PUNCT
ejpam-6225	163	18	)	)	PUNCT
ejpam-6225	163	19	{	{	PUNCT
ejpam-6225	163	20	4ג	4ג	NOUN
ejpam-6225	163	21	,	,	PUNCT
ejpam-6225	163	22	,	,	PUNCT
ejpam-6225	163	23	1ג	1ג	NOUN
ejpam-6225	163	24	}	}	PUNCT
ejpam-6225	163	25	(	(	PUNCT
ejpam-6225	163	26	{	{	PUNCT
ejpam-6225	163	27	6ג	6ג	NUM
ejpam-6225	163	28	psr	psr	PROPN
ejpam-6225	163	29	l	l	NOUN
ejpam-6225	163	30	β	β	X
ejpam-6225	163	31	(	(	PUNCT
ejpam-6225	163	32	=)	=)	PROPN
ejpam-6225	163	33	=	=	SYM
ejpam-6225	163	34	(	(	PUNCT
ejpam-6225	163	35	sr	sr	PROPN
ejpam-6225	163	36	l	l	NOUN
ejpam-6225	163	37	β+(=),sr	β+(=),sr	NUM
ejpam-6225	163	38	l	l	NOUN
ejpam-6225	163	39	β−(=	β−(=	PROPN
ejpam-6225	163	40	)	)	PUNCT
ejpam-6225	163	41	)	)	PUNCT
ejpam-6225	164	1	=	=	SYM
ejpam-6225	164	2	,	,	PUNCT
ejpam-6225	164	3	2ג	2ג	NOUN
ejpam-6225	164	4	}	}	PUNCT
ejpam-6225	164	5	)	)	PUNCT
ejpam-6225	164	6	{	{	PUNCT
ejpam-6225	164	7	5ג	5ג	NOUN
ejpam-6225	164	8	,	,	PUNCT
ejpam-6225	164	9	,	,	PUNCT
ejpam-6225	164	10	2ג	2ג	NUM
ejpam-6225	164	11	}	}	PUNCT
ejpam-6225	164	12	(	(	PUNCT
ejpam-6225	164	13	{	{	PUNCT
ejpam-6225	164	14	6ג	6ג	NOUN
ejpam-6225	164	15	consequently	consequently	ADV
ejpam-6225	164	16	,	,	PUNCT
ejpam-6225	164	17	=	=	PRON
ejpam-6225	164	18	is	be	AUX
ejpam-6225	164	19	an	an	DET
ejpam-6225	164	20	ideal	ideal	ADJ
ejpam-6225	164	21	bipolar	bipolar	ADJ
ejpam-6225	164	22	soft	soft	ADJ
ejpam-6225	164	23	βl	βl	ADJ
ejpam-6225	164	24	-rough	-rough	NOUN
ejpam-6225	164	25	because	because	SCONJ
ejpam-6225	164	26	psrl	psrl	PROPN
ejpam-6225	164	27	β	β	X
ejpam-6225	164	28	(	(	PUNCT
ejpam-6225	164	29	=)	=)	PROPN
ejpam-6225	164	30	6=	6=	NUM
ejpam-6225	164	31	psr	psr	PROPN
ejpam-6225	164	32	l	l	PROPN
ejpam-6225	164	33	β	β	X
ejpam-6225	164	34	(	(	PUNCT
ejpam-6225	164	35	=)	=)	PROPN
ejpam-6225	164	36	.	.	PUNCT
ejpam-6225	164	37	moreover	moreover	ADV
ejpam-6225	164	38	,	,	PUNCT
ejpam-6225	164	39	by	by	ADP
ejpam-6225	164	40	direct	direct	ADJ
ejpam-6225	164	41	calculations	calculation	NOUN
ejpam-6225	164	42	,	,	PUNCT
ejpam-6225	164	43	we	we	PRON
ejpam-6225	164	44	obtain	obtain	VERB
ejpam-6225	164	45	posl	posl	NOUN
ejpam-6225	164	46	β	β	X
ejpam-6225	164	47	(	(	PUNCT
ejpam-6225	164	48	=)	=)	PROPN
ejpam-6225	164	49	=	=	SYM
ejpam-6225	164	50	(	(	PUNCT
ejpam-6225	164	51	srl	srl	PROPN
ejpam-6225	164	52	β+(=),sr	β+(=),sr	NUM
ejpam-6225	164	53	l	l	NOUN
ejpam-6225	164	54	β−(=	β−(=	PROPN
ejpam-6225	164	55	)	)	PUNCT
ejpam-6225	164	56	)	)	PUNCT
ejpam-6225	165	1	=	=	NOUN
ejpam-6225	165	2	,	,	PUNCT
ejpam-6225	165	3	3ג	3ג	NOUN
ejpam-6225	165	4	}	}	PUNCT
ejpam-6225	165	5	)	)	PUNCT
ejpam-6225	165	6	{	{	PUNCT
ejpam-6225	165	7	4ג	4ג	NOUN
ejpam-6225	165	8	,	,	PUNCT
ejpam-6225	165	9	,	,	PUNCT
ejpam-6225	165	10	1ג	1ג	NOUN
ejpam-6225	165	11	}	}	PUNCT
ejpam-6225	165	12	(	(	PUNCT
ejpam-6225	165	13	{	{	PUNCT
ejpam-6225	165	14	6ג	6ג	NUM
ejpam-6225	165	15	,	,	PUNCT
ejpam-6225	165	16	bn	bn	INTJ
ejpam-6225	165	17	dl	dl	X
ejpam-6225	165	18	β	β	X
ejpam-6225	165	19	(	(	PUNCT
ejpam-6225	165	20	=)	=)	PROPN
ejpam-6225	165	21	=	=	SYM
ejpam-6225	165	22	(	(	PUNCT
ejpam-6225	165	23	sr	sr	PROPN
ejpam-6225	165	24	l	l	NOUN
ejpam-6225	165	25	β+(=	β+(=	PROPN
ejpam-6225	165	26	)	)	PUNCT
ejpam-6225	165	27	−	−	PROPN
ejpam-6225	165	28	srl	srl	PROPN
ejpam-6225	165	29	β+(=	β+(=	PROPN
ejpam-6225	165	30	)	)	PUNCT
ejpam-6225	165	31	,	,	PUNCT
ejpam-6225	165	32	srl	srl	PROPN
ejpam-6225	165	33	β−(=	β−(=	PROPN
ejpam-6225	165	34	)	)	PUNCT
ejpam-6225	165	35	−	−	PROPN
ejpam-6225	165	36	srβ−(=	srβ−(=	PROPN
ejpam-6225	165	37	)	)	PUNCT
ejpam-6225	165	38	)	)	PUNCT
ejpam-6225	166	1	=	=	SYM
ejpam-6225	166	2	,	,	PUNCT
ejpam-6225	166	3	2ג	2ג	NOUN
ejpam-6225	166	4	}	}	PUNCT
ejpam-6225	166	5	)	)	PUNCT
ejpam-6225	166	6	{	{	PUNCT
ejpam-6225	166	7	5ג	5ג	NOUN
ejpam-6225	166	8	,	,	PUNCT
ejpam-6225	166	9	(	(	PUNCT
ejpam-6225	166	10	{	{	PUNCT
ejpam-6225	166	11	1ג	1ג	NOUN
ejpam-6225	166	12	}	}	PUNCT
ejpam-6225	166	13	,	,	PUNCT
ejpam-6225	166	14	n	n	PRON
ejpam-6225	166	15	egl	egl	NOUN
ejpam-6225	166	16	β	β	X
ejpam-6225	166	17	(	(	PUNCT
ejpam-6225	166	18	=)	=)	PROPN
ejpam-6225	166	19	=	=	SYM
ejpam-6225	166	20	=	=	X
ejpam-6225	166	21	(	(	PUNCT
ejpam-6225	166	22	(	(	PUNCT
ejpam-6225	166	23	sr	sr	PROPN
ejpam-6225	166	24	l	l	NOUN
ejpam-6225	166	25	β+(=	β+(=	PROPN
ejpam-6225	166	26	)	)	PUNCT
ejpam-6225	166	27	)	)	PUNCT
ejpam-6225	167	1	c	c	NOUN
ejpam-6225	167	2	,	,	PUNCT
ejpam-6225	167	3	(	(	PUNCT
ejpam-6225	167	4	srl	srl	PROPN
ejpam-6225	167	5	β−(=	β−(=	PROPN
ejpam-6225	167	6	)	)	PUNCT
ejpam-6225	167	7	)	)	PUNCT
ejpam-6225	168	1	c	c	X
ejpam-6225	168	2	)	)	PUNCT
ejpam-6225	168	3	=	=	NOUN
ejpam-6225	168	4	,	,	PUNCT
ejpam-6225	168	5	1ג	1ג	NUM
ejpam-6225	168	6	}	}	PUNCT
ejpam-6225	168	7	)	)	PUNCT
ejpam-6225	168	8	,	,	PUNCT
ejpam-6225	168	9	3ג	3ג	NUM
ejpam-6225	168	10	,	,	PUNCT
ejpam-6225	168	11	4ג	4ג	NOUN
ejpam-6225	168	12	{	{	PUNCT
ejpam-6225	168	13	6ג	6ג	NUM
ejpam-6225	168	14	,	,	PUNCT
ejpam-6225	168	15	,	,	PUNCT
ejpam-6225	168	16	2ג	2ג	NOUN
ejpam-6225	168	17	}	}	PUNCT
ejpam-6225	168	18	,	,	PUNCT
ejpam-6225	168	19	3ג	3ג	NUM
ejpam-6225	168	20	,	,	PUNCT
ejpam-6225	168	21	4ג	4ג	NOUN
ejpam-6225	168	22	(	(	PUNCT
ejpam-6225	168	23	{	{	PUNCT
ejpam-6225	168	24	5ג	5ג	NOUN
ejpam-6225	168	25	.	.	PUNCT
ejpam-6225	169	1	remark	remark	PROPN
ejpam-6225	169	2	3.2	3.2	NUM
ejpam-6225	169	3	.	.	PUNCT
ejpam-6225	170	1	from	from	ADP
ejpam-6225	170	2	example	example	NOUN
ejpam-6225	170	3	3.1	3.1	NUM
ejpam-6225	170	4	,	,	PUNCT
ejpam-6225	170	5	the	the	DET
ejpam-6225	170	6	relationship	relationship	NOUN
ejpam-6225	170	7	between	between	ADP
ejpam-6225	170	8	the	the	DET
ejpam-6225	170	9	containment	containment	NOUN
ejpam-6225	170	10	of	of	ADP
ejpam-6225	170	11	psrl	psrl	PROPN
ejpam-6225	170	12	β	β	X
ejpam-6225	170	13	(	(	PUNCT
ejpam-6225	170	14	=)	=)	PROPN
ejpam-6225	170	15	and	and	CCONJ
ejpam-6225	170	16	psr	psr	PROPN
ejpam-6225	170	17	l	l	PROPN
ejpam-6225	170	18	β	β	X
ejpam-6225	170	19	(	(	PUNCT
ejpam-6225	170	20	=)	=)	INTJ
ejpam-6225	170	21	is	be	AUX
ejpam-6225	170	22	in	in	ADP
ejpam-6225	170	23	general	general	ADJ
ejpam-6225	170	24	:	:	PUNCT
ejpam-6225	170	25	d.	d.	PROPN
ejpam-6225	170	26	shi	shi	PROPN
ejpam-6225	170	27	et	et	PROPN
ejpam-6225	170	28	al	al	PROPN
ejpam-6225	170	29	.	.	PUNCT
ejpam-6225	170	30	/	/	SYM
ejpam-6225	170	31	eur	eur	PROPN
ejpam-6225	170	32	.	.	PUNCT
ejpam-6225	171	1	j.	j.	PROPN
ejpam-6225	171	2	pure	pure	PROPN
ejpam-6225	171	3	appl	appl	PROPN
ejpam-6225	171	4	.	.	PROPN
ejpam-6225	171	5	math	math	PROPN
ejpam-6225	171	6	,	,	PUNCT
ejpam-6225	171	7	18	18	NUM
ejpam-6225	171	8	(	(	PUNCT
ejpam-6225	171	9	4	4	NUM
ejpam-6225	171	10	)	)	PUNCT
ejpam-6225	171	11	(	(	PUNCT
ejpam-6225	171	12	2025	2025	NUM
ejpam-6225	171	13	)	)	PUNCT
ejpam-6225	171	14	,	,	PUNCT
ejpam-6225	171	15	6225	6225	NUM
ejpam-6225	171	16	7	7	NUM
ejpam-6225	171	17	of	of	ADP
ejpam-6225	171	18	36	36	NUM
ejpam-6225	171	19	(	(	PUNCT
ejpam-6225	171	20	1	1	NUM
ejpam-6225	171	21	)	)	PUNCT
ejpam-6225	171	22	srl	srl	PROPN
ejpam-6225	171	23	β+(=	β+(=	NUM
ejpam-6225	171	24	)	)	PUNCT
ejpam-6225	171	25	*	*	PUNCT
ejpam-6225	172	1	=	=	PUNCT
ejpam-6225	172	2	*	*	PUNCT
ejpam-6225	172	3	sr	sr	PROPN
ejpam-6225	172	4	l	l	NOUN
ejpam-6225	172	5	β+(=	β+(=	PROPN
ejpam-6225	172	6	)	)	PUNCT
ejpam-6225	172	7	and	and	CCONJ
ejpam-6225	172	8	srl	srl	PROPN
ejpam-6225	172	9	β+(=	β+(=	PROPN
ejpam-6225	172	10	)	)	PUNCT
ejpam-6225	173	1	+	+	PUNCT
ejpam-6225	173	2	=	=	SYM
ejpam-6225	174	1	+	+	NUM
ejpam-6225	174	2	sr	sr	PROPN
ejpam-6225	174	3	l	l	NOUN
ejpam-6225	174	4	β+(=	β+(=	PROPN
ejpam-6225	174	5	)	)	PUNCT
ejpam-6225	174	6	,	,	PUNCT
ejpam-6225	174	7	(	(	PUNCT
ejpam-6225	174	8	2	2	X
ejpam-6225	174	9	)	)	PUNCT
ejpam-6225	174	10	srl	srl	PROPN
ejpam-6225	174	11	β−(=	β−(=	PROPN
ejpam-6225	174	12	)	)	PUNCT
ejpam-6225	174	13	*	*	PUNCT
ejpam-6225	175	1	=	=	PUNCT
ejpam-6225	175	2	*	*	PUNCT
ejpam-6225	175	3	sr	sr	PROPN
ejpam-6225	175	4	l	l	PROPN
ejpam-6225	175	5	β−(=	β−(=	PROPN
ejpam-6225	175	6	)	)	PUNCT
ejpam-6225	175	7	and	and	CCONJ
ejpam-6225	175	8	srl	srl	PROPN
ejpam-6225	175	9	β−(=	β−(=	PROPN
ejpam-6225	175	10	)	)	PUNCT
ejpam-6225	175	11	+	+	PUNCT
ejpam-6225	175	12	=	=	SYM
ejpam-6225	175	13	+	+	NUM
ejpam-6225	175	14	sr	sr	PROPN
ejpam-6225	175	15	l	l	PROPN
ejpam-6225	175	16	β−(=	β−(=	PROPN
ejpam-6225	175	17	)	)	PUNCT
ejpam-6225	175	18	.	.	PUNCT
ejpam-6225	176	1	theorem	theorem	VERB
ejpam-6225	176	2	3.1	3.1	NUM
ejpam-6225	176	3	.	.	PUNCT
ejpam-6225	177	1	let	let	VERB
ejpam-6225	177	2	b	b	NOUN
ejpam-6225	177	3	=	=	SYM
ejpam-6225	177	4	(	(	PUNCT
ejpam-6225	177	5	f	f	X
ejpam-6225	177	6	,	,	PUNCT
ejpam-6225	177	7	g	g	NOUN
ejpam-6225	177	8	:	:	PUNCT
ejpam-6225	177	9	℘	℘	PROPN
ejpam-6225	177	10	)	)	PUNCT
ejpam-6225	177	11	∈	∈	PROPN
ejpam-6225	177	12	bssq	bssq	NOUN
ejpam-6225	177	13	and	and	CCONJ
ejpam-6225	177	14	βl	βl	NOUN
ejpam-6225	177	15	=	=	PUNCT
ejpam-6225	177	16	(	(	PUNCT
ejpam-6225	177	17	q	q	ADJ
ejpam-6225	177	18	,	,	PUNCT
ejpam-6225	177	19	(	(	PUNCT
ejpam-6225	177	20	f	f	X
ejpam-6225	177	21	,	,	PUNCT
ejpam-6225	177	22	g	g	NOUN
ejpam-6225	177	23	:	:	PUNCT
ejpam-6225	177	24	℘	℘	NUM
ejpam-6225	177	25	)	)	PUNCT
ejpam-6225	177	26	,	,	PUNCT
ejpam-6225	177	27	l	l	NOUN
ejpam-6225	177	28	)	)	PUNCT
ejpam-6225	177	29	be	be	AUX
ejpam-6225	177	30	ibsa	ibsa	NOUN
ejpam-6225	177	31	-	-	NOUN
ejpam-6225	177	32	space	space	NOUN
ejpam-6225	177	33	.	.	PUNCT
ejpam-6225	178	1	let	let	VERB
ejpam-6225	178	2	=	=	PUNCT
ejpam-6225	178	3	⊆	⊆	NUM
ejpam-6225	178	4	q	q	NOUN
ejpam-6225	178	5	,	,	PUNCT
ejpam-6225	178	6	f(ς	f(ς	PROPN
ejpam-6225	178	7	)	)	PUNCT
ejpam-6225	178	8	/∈	/∈	PUNCT
ejpam-6225	179	1	l	l	NOUN
ejpam-6225	179	2	and	and	CCONJ
ejpam-6225	179	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	179	4	)	)	PUNCT
ejpam-6225	179	5	/∈	/∈	PUNCT
ejpam-6225	180	1	l	l	NOUN
ejpam-6225	180	2	for	for	ADP
ejpam-6225	180	3	all	all	DET
ejpam-6225	180	4	ς	ς	PROPN
ejpam-6225	180	5	∈	∈	PROPN
ejpam-6225	180	6	℘	℘	PROPN
ejpam-6225	180	7	,	,	PUNCT
ejpam-6225	180	8	then	then	ADV
ejpam-6225	180	9	=	=	PRON
ejpam-6225	180	10	is	be	AUX
ejpam-6225	180	11	ideal	ideal	ADJ
ejpam-6225	180	12	bipolar	bipolar	ADJ
ejpam-6225	180	13	soft	soft	ADJ
ejpam-6225	180	14	βl	βl	ADP
ejpam-6225	180	15	-definable	-definable	ADJ
ejpam-6225	180	16	if	if	SCONJ
ejpam-6225	180	17	and	and	CCONJ
ejpam-6225	180	18	only	only	ADV
ejpam-6225	180	19	if	if	SCONJ
ejpam-6225	180	20	sr	sr	PROPN
ejpam-6225	180	21	l	l	PROPN
ejpam-6225	180	22	β+(=	β+(=	NOUN
ejpam-6225	180	23	)	)	PUNCT
ejpam-6225	180	24	∩	∩	NOUN
ejpam-6225	181	1	=	=	SYM
ejpam-6225	181	2	c	c	NOUN
ejpam-6225	181	3	∈	∈	PROPN
ejpam-6225	181	4	l	l	NOUN
ejpam-6225	181	5	and	and	CCONJ
ejpam-6225	181	6	srl	srl	PROPN
ejpam-6225	181	7	β−(=	β−(=	NOUN
ejpam-6225	181	8	)	)	PUNCT
ejpam-6225	181	9	∩	∩	NOUN
ejpam-6225	181	10	=	=	SYM
ejpam-6225	181	11	∈	∈	PROPN
ejpam-6225	181	12	l	l	NOUN
ejpam-6225	181	13	.	.	PUNCT
ejpam-6225	182	1	proof	proof	NOUN
ejpam-6225	182	2	.	.	PUNCT
ejpam-6225	183	1	let	let	VERB
ejpam-6225	183	2	=	=	PRON
ejpam-6225	183	3	be	be	AUX
ejpam-6225	183	4	ideal	ideal	ADJ
ejpam-6225	183	5	bipolar	bipolar	ADJ
ejpam-6225	183	6	soft	soft	ADJ
ejpam-6225	183	7	βl	βl	ADP
ejpam-6225	183	8	-definable	-definable	ADJ
ejpam-6225	183	9	,	,	PUNCT
ejpam-6225	183	10	then	then	ADV
ejpam-6225	183	11	psrl	psrl	PROPN
ejpam-6225	183	12	β	β	X
ejpam-6225	183	13	(	(	PUNCT
ejpam-6225	183	14	=)	=)	PROPN
ejpam-6225	183	15	6=	6=	NUM
ejpam-6225	183	16	psr	psr	PROPN
ejpam-6225	183	17	l	l	PROPN
ejpam-6225	183	18	β	β	X
ejpam-6225	183	19	(	(	PUNCT
ejpam-6225	183	20	=)	=)	PROPN
ejpam-6225	183	21	,	,	PUNCT
ejpam-6225	183	22	so	so	ADV
ejpam-6225	183	23	,	,	PUNCT
ejpam-6225	183	24	srl	srl	PROPN
ejpam-6225	183	25	β+(=	β+(=	NOUN
ejpam-6225	183	26	)	)	PUNCT
ejpam-6225	184	1	=	=	SYM
ejpam-6225	184	2	sr	sr	PROPN
ejpam-6225	184	3	l	l	NOUN
ejpam-6225	184	4	β+(=	β+(=	PROPN
ejpam-6225	184	5	)	)	PUNCT
ejpam-6225	184	6	.	.	PUNCT
ejpam-6225	185	1	thus	thus	ADV
ejpam-6225	185	2	,	,	PUNCT
ejpam-6225	185	3	srl	srl	PROPN
ejpam-6225	185	4	β+(=	β+(=	NOUN
ejpam-6225	185	5	)	)	PUNCT
ejpam-6225	185	6	∩	∩	NOUN
ejpam-6225	185	7	=	=	SYM
ejpam-6225	185	8	c	c	NOUN
ejpam-6225	185	9	∈	∈	PROPN
ejpam-6225	185	10	l	l	NOUN
ejpam-6225	185	11	.	.	PUNCT
ejpam-6225	186	1	in	in	ADP
ejpam-6225	186	2	fact	fact	NOUN
ejpam-6225	186	3	,	,	PUNCT
ejpam-6225	186	4	if	if	SCONJ
ejpam-6225	186	5	srl	srl	PROPN
ejpam-6225	186	6	β+(=	β+(=	NOUN
ejpam-6225	186	7	)	)	PUNCT
ejpam-6225	186	8	=	=	NOUN
ejpam-6225	186	9	∅	∅	NOUN
ejpam-6225	186	10	,	,	PUNCT
ejpam-6225	186	11	then	then	ADV
ejpam-6225	186	12	srl	srl	PROPN
ejpam-6225	186	13	β+(=	β+(=	NOUN
ejpam-6225	186	14	)	)	PUNCT
ejpam-6225	186	15	∩	∩	NOUN
ejpam-6225	186	16	=	=	SYM
ejpam-6225	186	17	c	c	NOUN
ejpam-6225	186	18	∈	∈	PROPN
ejpam-6225	186	19	l	l	NOUN
ejpam-6225	186	20	.	.	PUNCT
ejpam-6225	187	1	assume	assume	VERB
ejpam-6225	187	2	that	that	SCONJ
ejpam-6225	187	3	srl	srl	PROPN
ejpam-6225	187	4	β+(=	β+(=	PROPN
ejpam-6225	187	5	)	)	PUNCT
ejpam-6225	187	6	6=	6=	ADP
ejpam-6225	187	7	∅	∅	NOUN
ejpam-6225	187	8	and	and	CCONJ
ejpam-6225	187	9	ג	ג	ADP
ejpam-6225	187	10	∈	∈	PROPN
ejpam-6225	187	11	srl	srl	PROPN
ejpam-6225	187	12	β+(=	β+(=	PROPN
ejpam-6225	187	13	)	)	PUNCT
ejpam-6225	187	14	.	.	PUNCT
ejpam-6225	188	1	we	we	PRON
ejpam-6225	188	2	have	have	VERB
ejpam-6225	188	3	two	two	NUM
ejpam-6225	188	4	cases	case	NOUN
ejpam-6225	188	5	.	.	PUNCT
ejpam-6225	189	1	the	the	DET
ejpam-6225	189	2	first	first	ADJ
ejpam-6225	189	3	case	case	NOUN
ejpam-6225	189	4	,	,	PUNCT
ejpam-6225	189	5	if	if	SCONJ
ejpam-6225	189	6	ג	ג	X
ejpam-6225	189	7	/∈	/∈	PUNCT
ejpam-6225	190	1	=	=	NOUN
ejpam-6225	190	2	,	,	PUNCT
ejpam-6225	190	3	then	then	ADV
ejpam-6225	190	4	ג	ג	PROPN
ejpam-6225	190	5	∈	∈	PROPN
ejpam-6225	190	6	=	=	SYM
ejpam-6225	190	7	c	c	NOUN
ejpam-6225	190	8	and	and	CCONJ
ejpam-6225	190	9	there	there	PRON
ejpam-6225	190	10	exists	exist	VERB
ejpam-6225	190	11	ς	ς	PROPN
ejpam-6225	190	12	∈	∈	PROPN
ejpam-6225	190	13	℘	℘	PROPN
ejpam-6225	190	14	such	such	ADJ
ejpam-6225	190	15	that	that	SCONJ
ejpam-6225	190	16	ג	ג	PROPN
ejpam-6225	190	17	∈	∈	PROPN
ejpam-6225	190	18	f(ς	f(ς	PROPN
ejpam-6225	190	19	)	)	PUNCT
ejpam-6225	190	20	and	and	CCONJ
ejpam-6225	190	21	f(ς)∩=c	f(ς)∩=c	NOUN
ejpam-6225	190	22	∈	∈	PROPN
ejpam-6225	190	23	l	l	NOUN
ejpam-6225	190	24	.	.	PUNCT
ejpam-6225	191	1	therefore	therefore	ADV
ejpam-6225	191	2	,	,	PUNCT
ejpam-6225	191	3	ג	ג	PROPN
ejpam-6225	191	4	∈	∈	PROPN
ejpam-6225	191	5	f(ς	f(ς	PROPN
ejpam-6225	191	6	)	)	PUNCT
ejpam-6225	191	7	∩	∩	NOUN
ejpam-6225	191	8	=	=	SYM
ejpam-6225	191	9	c	c	NOUN
ejpam-6225	191	10	∈	∈	ADJ
ejpam-6225	191	11	l	l	NOUN
ejpam-6225	191	12	and	and	CCONJ
ejpam-6225	191	13	hence	hence	ADV
ejpam-6225	191	14	{	{	PUNCT
ejpam-6225	191	15	ג	ג	NOUN
ejpam-6225	191	16	}	}	PUNCT
ejpam-6225	191	17	∈	∈	PROPN
ejpam-6225	191	18	l	l	NOUN
ejpam-6225	191	19	.	.	PUNCT
ejpam-6225	192	1	hence	hence	ADV
ejpam-6225	192	2	,	,	PUNCT
ejpam-6225	192	3	⋃c=∋ג	⋃c=∋ג	PUNCT
ejpam-6225	192	4	srl∋ג	srl∋ג	NOUN
ejpam-6225	192	5	β+	β+	PUNCT
ejpam-6225	192	6	(	(	PUNCT
ejpam-6225	192	7	=)	=)	PROPN
ejpam-6225	192	8	{	{	PUNCT
ejpam-6225	192	9	ג	ג	PROPN
ejpam-6225	192	10	}	}	PUNCT
ejpam-6225	192	11	∈	∈	PROPN
ejpam-6225	192	12	l	l	NOUN
ejpam-6225	192	13	.	.	PUNCT
ejpam-6225	193	1	the	the	DET
ejpam-6225	193	2	second	second	ADJ
ejpam-6225	193	3	case	case	NOUN
ejpam-6225	193	4	,	,	PUNCT
ejpam-6225	193	5	if	if	SCONJ
ejpam-6225	193	6	ג	ג	PROPN
ejpam-6225	193	7	∈	∈	PROPN
ejpam-6225	193	8	=	=	NOUN
ejpam-6225	193	9	,	,	PUNCT
ejpam-6225	193	10	then	then	ADV
ejpam-6225	193	11	ג	ג	X
ejpam-6225	193	12	/∈	/∈	PUNCT
ejpam-6225	194	1	=	=	NOUN
ejpam-6225	194	2	c	c	NOUN
ejpam-6225	195	1	and	and	CCONJ
ejpam-6225	195	2	so	so	ADV
ejpam-6225	195	3	srl	srl	PROPN
ejpam-6225	195	4	β+(=	β+(=	NOUN
ejpam-6225	195	5	)	)	PUNCT
ejpam-6225	195	6	∩	∩	NOUN
ejpam-6225	196	1	=	=	SYM
ejpam-6225	196	2	c	c	NOUN
ejpam-6225	196	3	=	=	SYM
ejpam-6225	196	4	∅	∅	NOUN
ejpam-6225	196	5	∈	∈	NOUN
ejpam-6225	196	6	l	l	NOUN
ejpam-6225	196	7	.	.	PUNCT
ejpam-6225	197	1	the	the	DET
ejpam-6225	197	2	two	two	NUM
ejpam-6225	197	3	cases	case	NOUN
ejpam-6225	197	4	lead	lead	VERB
ejpam-6225	197	5	to	to	ADP
ejpam-6225	197	6	srl	srl	PROPN
ejpam-6225	197	7	β+(=	β+(=	NOUN
ejpam-6225	197	8	)	)	PUNCT
ejpam-6225	197	9	∩	∩	NOUN
ejpam-6225	198	1	=	=	SYM
ejpam-6225	198	2	c	c	NOUN
ejpam-6225	198	3	∈	∈	PROPN
ejpam-6225	198	4	l	l	NOUN
ejpam-6225	198	5	.	.	PUNCT
ejpam-6225	199	1	since	since	ADV
ejpam-6225	199	2	,	,	PUNCT
ejpam-6225	199	3	srl	srl	PROPN
ejpam-6225	199	4	β+(=	β+(=	NOUN
ejpam-6225	199	5	)	)	PUNCT
ejpam-6225	199	6	=	=	SYM
ejpam-6225	199	7	sr	sr	PROPN
ejpam-6225	199	8	l	l	NOUN
ejpam-6225	199	9	β+(=	β+(=	PROPN
ejpam-6225	199	10	)	)	PUNCT
ejpam-6225	199	11	.	.	PUNCT
ejpam-6225	200	1	then	then	ADV
ejpam-6225	200	2	,	,	PUNCT
ejpam-6225	200	3	sr	sr	PROPN
ejpam-6225	200	4	l	l	PROPN
ejpam-6225	200	5	β+(=	β+(=	NOUN
ejpam-6225	200	6	)	)	PUNCT
ejpam-6225	200	7	∩	∩	NOUN
ejpam-6225	201	1	=	=	SYM
ejpam-6225	201	2	c	c	NOUN
ejpam-6225	201	3	=	=	SYM
ejpam-6225	201	4	∅	∅	NOUN
ejpam-6225	201	5	∈	∈	NOUN
ejpam-6225	201	6	l	l	NOUN
ejpam-6225	201	7	.	.	PUNCT
ejpam-6225	202	1	similarly	similarly	ADV
ejpam-6225	202	2	,	,	PUNCT
ejpam-6225	202	3	the	the	DET
ejpam-6225	202	4	other	other	ADJ
ejpam-6225	202	5	part	part	NOUN
ejpam-6225	202	6	could	could	AUX
ejpam-6225	202	7	be	be	AUX
ejpam-6225	202	8	given	give	VERB
ejpam-6225	202	9	.	.	PUNCT
ejpam-6225	203	1	conversely	conversely	ADV
ejpam-6225	203	2	,	,	PUNCT
ejpam-6225	203	3	assume	assume	VERB
ejpam-6225	203	4	that	that	SCONJ
ejpam-6225	203	5	sr	sr	PROPN
ejpam-6225	203	6	l	l	PROPN
ejpam-6225	203	7	β+(=	β+(=	NOUN
ejpam-6225	203	8	)	)	PUNCT
ejpam-6225	203	9	∩	∩	NOUN
ejpam-6225	204	1	=	=	SYM
ejpam-6225	204	2	c	c	NOUN
ejpam-6225	204	3	∈	∈	PROPN
ejpam-6225	204	4	l	l	NOUN
ejpam-6225	204	5	and	and	CCONJ
ejpam-6225	204	6	srl	srl	PROPN
ejpam-6225	204	7	β−(=	β−(=	NOUN
ejpam-6225	204	8	)	)	PUNCT
ejpam-6225	204	9	∩	∩	NOUN
ejpam-6225	204	10	=	=	SYM
ejpam-6225	204	11	∈	∈	PROPN
ejpam-6225	204	12	l	l	NOUN
ejpam-6225	204	13	.	.	PUNCT
ejpam-6225	205	1	since	since	SCONJ
ejpam-6225	205	2	,	,	PUNCT
ejpam-6225	205	3	f(ς	f(ς	PROPN
ejpam-6225	205	4	)	)	PUNCT
ejpam-6225	205	5	/∈	/∈	PUNCT
ejpam-6225	206	1	l	l	NOUN
ejpam-6225	206	2	and	and	CCONJ
ejpam-6225	206	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	206	4	)	)	PUNCT
ejpam-6225	206	5	/∈	/∈	PUNCT
ejpam-6225	207	1	l	l	NOUN
ejpam-6225	207	2	for	for	ADP
ejpam-6225	207	3	all	all	DET
ejpam-6225	207	4	ς	ς	PROPN
ejpam-6225	207	5	∈	∈	PROPN
ejpam-6225	207	6	℘.	℘.	PROPN
ejpam-6225	207	7	then	then	ADV
ejpam-6225	207	8	,	,	PUNCT
ejpam-6225	207	9	it	it	PRON
ejpam-6225	207	10	is	be	AUX
ejpam-6225	207	11	obvious	obvious	ADJ
ejpam-6225	208	1	that	that	SCONJ
ejpam-6225	208	2	srl	srl	PROPN
ejpam-6225	208	3	β+(=	β+(=	NOUN
ejpam-6225	208	4	)	)	PUNCT
ejpam-6225	208	5	⊆	⊆	NUM
ejpam-6225	208	6	sr	sr	PROPN
ejpam-6225	208	7	l	l	NOUN
ejpam-6225	208	8	β+(=	β+(=	PROPN
ejpam-6225	208	9	)	)	PUNCT
ejpam-6225	208	10	and	and	CCONJ
ejpam-6225	208	11	srl	srl	PROPN
ejpam-6225	208	12	β−(=	β−(=	PROPN
ejpam-6225	208	13	)	)	PUNCT
ejpam-6225	208	14	⊇	⊇	PROPN
ejpam-6225	208	15	sr	sr	PROPN
ejpam-6225	208	16	l	l	PROPN
ejpam-6225	208	17	β−(=	β−(=	PROPN
ejpam-6225	208	18	)	)	PUNCT
ejpam-6225	209	1	.	.	PUNCT
ejpam-6225	210	1	so	so	ADV
ejpam-6225	210	2	,	,	PUNCT
ejpam-6225	210	3	it	it	PRON
ejpam-6225	210	4	sufficient	sufficient	ADJ
ejpam-6225	210	5	to	to	PART
ejpam-6225	210	6	show	show	VERB
ejpam-6225	210	7	that	that	SCONJ
ejpam-6225	210	8	srl	srl	PROPN
ejpam-6225	210	9	β+(=	β+(=	NOUN
ejpam-6225	210	10	)	)	PUNCT
ejpam-6225	210	11	⊇	⊇	PROPN
ejpam-6225	210	12	sr	sr	PROPN
ejpam-6225	210	13	l	l	PROPN
ejpam-6225	210	14	β+(=	β+(=	PROPN
ejpam-6225	210	15	)	)	PUNCT
ejpam-6225	210	16	and	and	CCONJ
ejpam-6225	210	17	srl	srl	PROPN
ejpam-6225	210	18	β−(=	β−(=	PROPN
ejpam-6225	210	19	)	)	PUNCT
ejpam-6225	210	20	⊆	⊆	NUM
ejpam-6225	210	21	sr	sr	PROPN
ejpam-6225	210	22	l	l	PROPN
ejpam-6225	210	23	β−(=	β−(=	PROPN
ejpam-6225	210	24	)	)	PUNCT
ejpam-6225	210	25	.	.	PUNCT
ejpam-6225	211	1	let	let	VERB
ejpam-6225	211	2	ג	ג	PROPN
ejpam-6225	211	3	∈	∈	PROPN
ejpam-6225	211	4	sr	sr	PROPN
ejpam-6225	211	5	l	l	PROPN
ejpam-6225	211	6	β+(=	β+(=	PROPN
ejpam-6225	211	7	)	)	PUNCT
ejpam-6225	211	8	.	.	PUNCT
ejpam-6225	212	1	then	then	ADV
ejpam-6225	212	2	,	,	PUNCT
ejpam-6225	212	3	there	there	PRON
ejpam-6225	212	4	exists	exist	VERB
ejpam-6225	212	5	ς	ς	PROPN
ejpam-6225	212	6	∈	∈	PROPN
ejpam-6225	212	7	℘	℘	PROPN
ejpam-6225	212	8	such	such	ADJ
ejpam-6225	212	9	that	that	SCONJ
ejpam-6225	212	10	ג	ג	PROPN
ejpam-6225	212	11	∈	∈	PROPN
ejpam-6225	212	12	f(ς	f(ς	PROPN
ejpam-6225	212	13	)	)	PUNCT
ejpam-6225	212	14	⊆	⊆	NUM
ejpam-6225	212	15	sr	sr	PROPN
ejpam-6225	212	16	l	l	NOUN
ejpam-6225	212	17	β+(=	β+(=	PROPN
ejpam-6225	212	18	)	)	PUNCT
ejpam-6225	212	19	.	.	PUNCT
ejpam-6225	213	1	since	since	ADV
ejpam-6225	213	2	,	,	PUNCT
ejpam-6225	213	3	sr	sr	PROPN
ejpam-6225	213	4	l	l	PROPN
ejpam-6225	213	5	β+(=	β+(=	NOUN
ejpam-6225	213	6	)	)	PUNCT
ejpam-6225	213	7	∩	∩	NOUN
ejpam-6225	214	1	=	=	SYM
ejpam-6225	214	2	c	c	NOUN
ejpam-6225	214	3	∈	∈	PROPN
ejpam-6225	214	4	l	l	NOUN
ejpam-6225	214	5	and	and	CCONJ
ejpam-6225	214	6	f(ς	f(ς	PROPN
ejpam-6225	214	7	)	)	PUNCT
ejpam-6225	214	8	∩	∩	NOUN
ejpam-6225	214	9	=	=	SYM
ejpam-6225	214	10	c	c	PROPN
ejpam-6225	214	11	⊆	⊆	NUM
ejpam-6225	214	12	sr	sr	PROPN
ejpam-6225	214	13	l	l	PROPN
ejpam-6225	214	14	β+(=	β+(=	NOUN
ejpam-6225	214	15	)	)	PUNCT
ejpam-6225	214	16	∩	∩	NOUN
ejpam-6225	214	17	=	=	SYM
ejpam-6225	214	18	c	c	X
ejpam-6225	214	19	,	,	PUNCT
ejpam-6225	214	20	then	then	ADV
ejpam-6225	214	21	f(ς	f(ς	PROPN
ejpam-6225	214	22	)	)	PUNCT
ejpam-6225	214	23	∩	∩	NOUN
ejpam-6225	214	24	=	=	SYM
ejpam-6225	214	25	c	c	NOUN
ejpam-6225	214	26	∈	∈	ADJ
ejpam-6225	214	27	l	l	NOUN
ejpam-6225	214	28	and	and	CCONJ
ejpam-6225	214	29	hence	hence	ADV
ejpam-6225	214	30	ג	ג	ADP
ejpam-6225	214	31	∈	∈	PROPN
ejpam-6225	214	32	srl	srl	PROPN
ejpam-6225	214	33	β+(=	β+(=	PROPN
ejpam-6225	214	34	)	)	PUNCT
ejpam-6225	214	35	.	.	PUNCT
ejpam-6225	215	1	also	also	ADV
ejpam-6225	215	2	,	,	PUNCT
ejpam-6225	215	3	let	let	VERB
ejpam-6225	215	4	ג	ג	PROPN
ejpam-6225	215	5	∈	∈	PROPN
ejpam-6225	215	6	srl	srl	PROPN
ejpam-6225	215	7	β−(=	β−(=	PROPN
ejpam-6225	215	8	)	)	PUNCT
ejpam-6225	215	9	.	.	PUNCT
ejpam-6225	216	1	then	then	ADV
ejpam-6225	216	2	,	,	PUNCT
ejpam-6225	216	3	there	there	PRON
ejpam-6225	216	4	exists	exist	VERB
ejpam-6225	216	5	¬ς	¬ς	NOUN
ejpam-6225	216	6	∈	∈	PROPN
ejpam-6225	216	7	¬℘	¬℘	NUM
ejpam-6225	216	8	such	such	ADJ
ejpam-6225	216	9	that	that	SCONJ
ejpam-6225	216	10	ג	ג	PROPN
ejpam-6225	216	11	∈	∈	PROPN
ejpam-6225	216	12	g(¬ς	g(¬ς	PROPN
ejpam-6225	216	13	)	)	PUNCT
ejpam-6225	216	14	⊆	⊆	NUM
ejpam-6225	216	15	srl	srl	PROPN
ejpam-6225	216	16	β−(=	β−(=	NOUN
ejpam-6225	216	17	)	)	PUNCT
ejpam-6225	216	18	.	.	PUNCT
ejpam-6225	217	1	since	since	ADV
ejpam-6225	217	2	,	,	PUNCT
ejpam-6225	217	3	srl	srl	PROPN
ejpam-6225	217	4	β−(=)∩=	β−(=)∩=	ADP
ejpam-6225	217	5	∈	∈	PROPN
ejpam-6225	217	6	l	l	NOUN
ejpam-6225	217	7	and	and	CCONJ
ejpam-6225	217	8	g(¬ς)∩=	g(¬ς)∩=	PROPN
ejpam-6225	217	9	⊆	⊆	NUM
ejpam-6225	217	10	srl	srl	PROPN
ejpam-6225	217	11	β−(=)∩=	β−(=)∩=	PROPN
ejpam-6225	217	12	,	,	PUNCT
ejpam-6225	217	13	then	then	ADV
ejpam-6225	217	14	g(¬ς)∩=	g(¬ς)∩=	PROPN
ejpam-6225	217	15	∈	∈	PROPN
ejpam-6225	217	16	l	l	NOUN
ejpam-6225	217	17	and	and	CCONJ
ejpam-6225	217	18	hence	hence	ADV
ejpam-6225	217	19	ג	ג	PROPN
ejpam-6225	217	20	∈	∈	PROPN
ejpam-6225	217	21	sr	sr	PROPN
ejpam-6225	217	22	l	l	PROPN
ejpam-6225	217	23	β−(=	β−(=	PROPN
ejpam-6225	217	24	)	)	PUNCT
ejpam-6225	217	25	.	.	PUNCT
ejpam-6225	218	1	consequently	consequently	ADV
ejpam-6225	218	2	,	,	PUNCT
ejpam-6225	218	3	srl	srl	PROPN
ejpam-6225	218	4	β−(=	β−(=	PROPN
ejpam-6225	218	5	)	)	PUNCT
ejpam-6225	218	6	⊆	⊆	NUM
ejpam-6225	218	7	sr	sr	PROPN
ejpam-6225	218	8	l	l	PROPN
ejpam-6225	218	9	β−(=	β−(=	PROPN
ejpam-6225	218	10	)	)	PUNCT
ejpam-6225	218	11	.	.	PUNCT
ejpam-6225	219	1	proposition	proposition	NOUN
ejpam-6225	219	2	3.1	3.1	NUM
ejpam-6225	219	3	.	.	PUNCT
ejpam-6225	220	1	let	let	VERB
ejpam-6225	220	2	b	b	NOUN
ejpam-6225	220	3	=	=	SYM
ejpam-6225	220	4	(	(	PUNCT
ejpam-6225	220	5	f	f	X
ejpam-6225	220	6	,	,	PUNCT
ejpam-6225	220	7	g	g	NOUN
ejpam-6225	220	8	:	:	PUNCT
ejpam-6225	220	9	℘	℘	PROPN
ejpam-6225	220	10	)	)	PUNCT
ejpam-6225	220	11	∈	∈	PROPN
ejpam-6225	220	12	bssq	bssq	NOUN
ejpam-6225	220	13	and	and	CCONJ
ejpam-6225	220	14	βl	βl	NOUN
ejpam-6225	220	15	=	=	PUNCT
ejpam-6225	220	16	(	(	PUNCT
ejpam-6225	220	17	q	q	ADJ
ejpam-6225	220	18	,	,	PUNCT
ejpam-6225	220	19	(	(	PUNCT
ejpam-6225	220	20	f	f	X
ejpam-6225	220	21	,	,	PUNCT
ejpam-6225	220	22	g	g	NOUN
ejpam-6225	220	23	:	:	PUNCT
ejpam-6225	220	24	℘	℘	NUM
ejpam-6225	220	25	)	)	PUNCT
ejpam-6225	220	26	,	,	PUNCT
ejpam-6225	220	27	l	l	NOUN
ejpam-6225	220	28	)	)	PUNCT
ejpam-6225	220	29	be	be	AUX
ejpam-6225	220	30	ibsa	ibsa	NOUN
ejpam-6225	220	31	-	-	NOUN
ejpam-6225	220	32	space	space	NOUN
ejpam-6225	220	33	.	.	PUNCT
ejpam-6225	221	1	let	let	VERB
ejpam-6225	221	2	=	=	PUNCT
ejpam-6225	221	3	⊆	⊆	NUM
ejpam-6225	221	4	q	q	NOUN
ejpam-6225	221	5	,	,	PUNCT
ejpam-6225	221	6	f(ς	f(ς	PROPN
ejpam-6225	221	7	)	)	PUNCT
ejpam-6225	221	8	/∈	/∈	PUNCT
ejpam-6225	222	1	l	l	NOUN
ejpam-6225	222	2	and	and	CCONJ
ejpam-6225	222	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	222	4	)	)	PUNCT
ejpam-6225	222	5	/∈	/∈	PUNCT
ejpam-6225	223	1	l	l	NOUN
ejpam-6225	223	2	for	for	ADP
ejpam-6225	223	3	all	all	DET
ejpam-6225	223	4	ς	ς	PROPN
ejpam-6225	223	5	∈	∈	PROPN
ejpam-6225	223	6	℘.	℘.	PROPN
ejpam-6225	223	7	then	then	ADV
ejpam-6225	223	8	,	,	PUNCT
ejpam-6225	223	9	=	=	PRON
ejpam-6225	223	10	is	be	AUX
ejpam-6225	223	11	ideal	ideal	ADJ
ejpam-6225	223	12	bipolar	bipolar	ADJ
ejpam-6225	223	13	soft	soft	ADJ
ejpam-6225	223	14	βl	βl	ADP
ejpam-6225	223	15	-definable	-definable	ADJ
ejpam-6225	223	16	if	if	SCONJ
ejpam-6225	223	17	=	=	SYM
ejpam-6225	223	18	∩	∩	NOUN
ejpam-6225	223	19	[	[	PUNCT
ejpam-6225	223	20	⋃	⋃	ADP
ejpam-6225	223	21	ς∈℘	ς∈℘	NOUN
ejpam-6225	223	22	f(ς	f(ς	NOUN
ejpam-6225	223	23	)	)	PUNCT
ejpam-6225	224	1	⋃	⋃	SCONJ
ejpam-6225	224	2	⋃	⋃	PUNCT
ejpam-6225	224	3	¬ς∈¬℘	¬ς∈¬℘	NUM
ejpam-6225	224	4	g(¬ς	g(¬ς	NOUN
ejpam-6225	224	5	)	)	PUNCT
ejpam-6225	224	6	]	]	PUNCT
ejpam-6225	224	7	∈	∈	PROPN
ejpam-6225	224	8	l	l	NOUN
ejpam-6225	224	9	.	.	PUNCT
ejpam-6225	225	1	proof	proof	NOUN
ejpam-6225	225	2	.	.	PUNCT
ejpam-6225	226	1	since	since	SCONJ
ejpam-6225	226	2	,	,	PUNCT
ejpam-6225	226	3	f(ς	f(ς	PROPN
ejpam-6225	226	4	)	)	PUNCT
ejpam-6225	226	5	/∈	/∈	PUNCT
ejpam-6225	227	1	l	l	NOUN
ejpam-6225	227	2	and	and	CCONJ
ejpam-6225	227	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	227	4	)	)	PUNCT
ejpam-6225	227	5	/∈	/∈	PUNCT
ejpam-6225	228	1	l	l	NOUN
ejpam-6225	228	2	for	for	ADP
ejpam-6225	228	3	all	all	DET
ejpam-6225	228	4	ς	ς	PROPN
ejpam-6225	228	5	∈	∈	PROPN
ejpam-6225	228	6	℘.	℘.	PROPN
ejpam-6225	228	7	then	then	ADV
ejpam-6225	228	8	,	,	PUNCT
ejpam-6225	228	9	srl	srl	PROPN
ejpam-6225	228	10	β+(=	β+(=	PROPN
ejpam-6225	228	11	)	)	PUNCT
ejpam-6225	228	12	⊆	⊆	NUM
ejpam-6225	228	13	sr	sr	PROPN
ejpam-6225	228	14	l	l	NOUN
ejpam-6225	228	15	β+(=	β+(=	PROPN
ejpam-6225	228	16	)	)	PUNCT
ejpam-6225	228	17	and	and	CCONJ
ejpam-6225	228	18	srl	srl	PROPN
ejpam-6225	228	19	β−(=	β−(=	PROPN
ejpam-6225	228	20	)	)	PUNCT
ejpam-6225	228	21	⊇	⊇	PROPN
ejpam-6225	228	22	sr	sr	PROPN
ejpam-6225	228	23	l	l	PROPN
ejpam-6225	228	24	β−(=	β−(=	PROPN
ejpam-6225	228	25	)	)	PUNCT
ejpam-6225	228	26	.	.	PUNCT
ejpam-6225	229	1	let	let	VERB
ejpam-6225	229	2	=	=	PUNCT
ejpam-6225	230	1	⊆	⊆	NUM
ejpam-6225	230	2	q	q	NOUN
ejpam-6225	230	3	such	such	ADJ
ejpam-6225	230	4	that	that	SCONJ
ejpam-6225	230	5	=	=	SYM
ejpam-6225	230	6	∩	∩	NOUN
ejpam-6225	230	7	[	[	PUNCT
ejpam-6225	230	8	⋃	⋃	ADP
ejpam-6225	230	9	ς∈℘	ς∈℘	NOUN
ejpam-6225	230	10	f(ς	f(ς	NOUN
ejpam-6225	230	11	)	)	PUNCT
ejpam-6225	230	12	⋃	⋃	SCONJ
ejpam-6225	230	13	⋃	⋃	PUNCT
ejpam-6225	230	14	¬ς∈¬℘	¬ς∈¬℘	NUM
ejpam-6225	230	15	g(¬ς	g(¬ς	NOUN
ejpam-6225	230	16	)	)	PUNCT
ejpam-6225	230	17	]	]	PUNCT
ejpam-6225	231	1	∈	∈	PROPN
ejpam-6225	231	2	l	l	NOUN
ejpam-6225	231	3	.	.	PUNCT
ejpam-6225	232	1	then	then	ADV
ejpam-6225	232	2	,	,	PUNCT
ejpam-6225	232	3	sr	sr	PROPN
ejpam-6225	232	4	l	l	PROPN
ejpam-6225	232	5	β+(=	β+(=	PROPN
ejpam-6225	232	6	)	)	PUNCT
ejpam-6225	233	1	=	=	PUNCT
ejpam-6225	233	2	∅.	∅.	NOUN
ejpam-6225	233	3	in	in	ADP
ejpam-6225	233	4	fact	fact	NOUN
ejpam-6225	233	5	,	,	PUNCT
ejpam-6225	233	6	assume	assume	VERB
ejpam-6225	233	7	that	that	SCONJ
ejpam-6225	233	8	ג	ג	PROPN
ejpam-6225	233	9	∈	∈	PROPN
ejpam-6225	233	10	sr	sr	PROPN
ejpam-6225	233	11	l	l	PROPN
ejpam-6225	233	12	β+(=	β+(=	PROPN
ejpam-6225	233	13	)	)	PUNCT
ejpam-6225	233	14	.	.	PUNCT
ejpam-6225	234	1	then	then	ADV
ejpam-6225	234	2	,	,	PUNCT
ejpam-6225	234	3	there	there	PRON
ejpam-6225	234	4	exists	exist	VERB
ejpam-6225	234	5	ς	ς	PROPN
ejpam-6225	234	6	∈	∈	PROPN
ejpam-6225	234	7	℘	℘	PROPN
ejpam-6225	234	8	such	such	ADJ
ejpam-6225	234	9	that	that	SCONJ
ejpam-6225	234	10	ג	ג	PROPN
ejpam-6225	234	11	∈	∈	PROPN
ejpam-6225	234	12	f(ς	f(ς	PROPN
ejpam-6225	234	13	)	)	PUNCT
ejpam-6225	234	14	and	and	CCONJ
ejpam-6225	234	15	f(ς	f(ς	PROPN
ejpam-6225	234	16	)	)	PUNCT
ejpam-6225	234	17	∩	∩	NOUN
ejpam-6225	234	18	=	=	SYM
ejpam-6225	234	19	6∈	6∈	PROPN
ejpam-6225	234	20	l	l	NOUN
ejpam-6225	234	21	,	,	PUNCT
ejpam-6225	234	22	since	since	SCONJ
ejpam-6225	234	23	f(ς	f(ς	PROPN
ejpam-6225	234	24	)	)	PUNCT
ejpam-6225	234	25	∩	∩	NOUN
ejpam-6225	234	26	=	=	SYM
ejpam-6225	234	27	⊆	⊆	NUM
ejpam-6225	234	28	=	=	SYM
ejpam-6225	234	29	∩	∩	NOUN
ejpam-6225	234	30	[	[	PUNCT
ejpam-6225	234	31	⋃	⋃	ADP
ejpam-6225	234	32	ς∈℘	ς∈℘	NOUN
ejpam-6225	234	33	f(ς	f(ς	NOUN
ejpam-6225	234	34	)	)	PUNCT
ejpam-6225	234	35	⋃	⋃	SCONJ
ejpam-6225	234	36	⋃	⋃	PUNCT
ejpam-6225	234	37	¬ς∈¬℘	¬ς∈¬℘	NUM
ejpam-6225	234	38	g(¬ς	g(¬ς	NOUN
ejpam-6225	234	39	)	)	PUNCT
ejpam-6225	234	40	]	]	PUNCT
ejpam-6225	234	41	,	,	PUNCT
ejpam-6225	234	42	then	then	ADV
ejpam-6225	234	43	=	=	SYM
ejpam-6225	234	44	∩	∩	NOUN
ejpam-6225	234	45	[	[	PUNCT
ejpam-6225	234	46	⋃	⋃	ADP
ejpam-6225	234	47	ς∈℘	ς∈℘	NOUN
ejpam-6225	234	48	f(ς	f(ς	NOUN
ejpam-6225	234	49	)	)	PUNCT
ejpam-6225	235	1	⋃	⋃	SCONJ
ejpam-6225	235	2	⋃	⋃	PUNCT
ejpam-6225	235	3	¬ς∈¬℘	¬ς∈¬℘	NUM
ejpam-6225	235	4	g(¬ς	g(¬ς	NOUN
ejpam-6225	235	5	)	)	PUNCT
ejpam-6225	235	6	]	]	PUNCT
ejpam-6225	235	7	/∈	/∈	PUNCT
ejpam-6225	236	1	l	l	NOUN
ejpam-6225	236	2	a	a	DET
ejpam-6225	236	3	contradiction	contradiction	NOUN
ejpam-6225	236	4	.	.	PUNCT
ejpam-6225	237	1	so	so	ADV
ejpam-6225	237	2	,	,	PUNCT
ejpam-6225	237	3	sr	sr	PROPN
ejpam-6225	237	4	l	l	PROPN
ejpam-6225	237	5	β+(=	β+(=	PROPN
ejpam-6225	237	6	)	)	PUNCT
ejpam-6225	238	1	=	=	PUNCT
ejpam-6225	238	2	∅.	∅.	VERB
ejpam-6225	238	3	hence	hence	ADV
ejpam-6225	238	4	,	,	PUNCT
ejpam-6225	238	5	sr	sr	PROPN
ejpam-6225	238	6	l	l	PROPN
ejpam-6225	238	7	β+(=	β+(=	PROPN
ejpam-6225	238	8	)	)	PUNCT
ejpam-6225	238	9	⊆	⊆	NUM
ejpam-6225	238	10	srl	srl	PROPN
ejpam-6225	238	11	β+(=	β+(=	NOUN
ejpam-6225	238	12	)	)	PUNCT
ejpam-6225	238	13	.	.	PUNCT
ejpam-6225	239	1	let	let	VERB
ejpam-6225	239	2	ג	ג	PROPN
ejpam-6225	239	3	∈	∈	PROPN
ejpam-6225	239	4	srl	srl	PROPN
ejpam-6225	239	5	β−(=	β−(=	PROPN
ejpam-6225	239	6	)	)	PUNCT
ejpam-6225	239	7	.	.	PUNCT
ejpam-6225	240	1	then	then	ADV
ejpam-6225	240	2	,	,	PUNCT
ejpam-6225	240	3	there	there	PRON
ejpam-6225	240	4	exists	exist	VERB
ejpam-6225	240	5	¬ς	¬ς	NOUN
ejpam-6225	240	6	∈	∈	PROPN
ejpam-6225	240	7	¬℘	¬℘	NUM
ejpam-6225	240	8	such	such	ADJ
ejpam-6225	240	9	that	that	SCONJ
ejpam-6225	240	10	ג	ג	PROPN
ejpam-6225	240	11	∈	∈	PROPN
ejpam-6225	240	12	g(¬ς	g(¬ς	PROPN
ejpam-6225	240	13	)	)	PUNCT
ejpam-6225	240	14	and	and	CCONJ
ejpam-6225	240	15	g(¬ς	g(¬ς	PROPN
ejpam-6225	240	16	)	)	PUNCT
ejpam-6225	240	17	∩	∩	NOUN
ejpam-6225	241	1	=	=	SYM
ejpam-6225	241	2	c	c	PROPN
ejpam-6225	241	3	6∈	6∈	PROPN
ejpam-6225	241	4	l	l	NOUN
ejpam-6225	241	5	,	,	PUNCT
ejpam-6225	241	6	since	since	ADV
ejpam-6225	241	7	,	,	PUNCT
ejpam-6225	241	8	g(¬ς	g(¬ς	PROPN
ejpam-6225	241	9	)	)	PUNCT
ejpam-6225	241	10	∩	∩	NOUN
ejpam-6225	241	11	=	=	SYM
ejpam-6225	242	1	⊆	⊆	NUM
ejpam-6225	242	2	=	=	SYM
ejpam-6225	242	3	∩	∩	NOUN
ejpam-6225	242	4	[	[	PUNCT
ejpam-6225	242	5	⋃	⋃	ADP
ejpam-6225	242	6	ς∈℘	ς∈℘	NOUN
ejpam-6225	242	7	f(ς	f(ς	NOUN
ejpam-6225	242	8	)	)	PUNCT
ejpam-6225	242	9	⋃	⋃	SCONJ
ejpam-6225	242	10	⋃	⋃	PUNCT
ejpam-6225	242	11	¬ς∈¬℘	¬ς∈¬℘	NUM
ejpam-6225	242	12	g(¬ς	g(¬ς	NOUN
ejpam-6225	242	13	)	)	PUNCT
ejpam-6225	242	14	]	]	PUNCT
ejpam-6225	242	15	∈	∈	PROPN
ejpam-6225	242	16	l	l	NOUN
ejpam-6225	242	17	,	,	PUNCT
ejpam-6225	242	18	then	then	ADV
ejpam-6225	242	19	g(¬ς	g(¬ς	PROPN
ejpam-6225	242	20	)	)	PUNCT
ejpam-6225	242	21	∩	∩	NOUN
ejpam-6225	242	22	=	=	SYM
ejpam-6225	242	23	∈	∈	PROPN
ejpam-6225	242	24	l	l	NOUN
ejpam-6225	242	25	.	.	PUNCT
ejpam-6225	243	1	hence	hence	ADV
ejpam-6225	243	2	,	,	PUNCT
ejpam-6225	243	3	ג	ג	PROPN
ejpam-6225	243	4	∈	∈	PROPN
ejpam-6225	243	5	sr	sr	PROPN
ejpam-6225	243	6	l	l	PROPN
ejpam-6225	243	7	β−(=	β−(=	PROPN
ejpam-6225	243	8	)	)	PUNCT
ejpam-6225	243	9	,	,	PUNCT
ejpam-6225	243	10	therefore	therefore	ADV
ejpam-6225	243	11	srl	srl	PROPN
ejpam-6225	243	12	β−(=	β−(=	PROPN
ejpam-6225	243	13	)	)	PUNCT
ejpam-6225	243	14	⊆	⊆	NUM
ejpam-6225	243	15	sr	sr	PROPN
ejpam-6225	243	16	l	l	PROPN
ejpam-6225	243	17	β−(=	β−(=	PROPN
ejpam-6225	243	18	)	)	PUNCT
ejpam-6225	243	19	.	.	PUNCT
ejpam-6225	244	1	d.	d.	PROPN
ejpam-6225	244	2	shi	shi	PROPN
ejpam-6225	244	3	et	et	PROPN
ejpam-6225	244	4	al	al	PROPN
ejpam-6225	244	5	.	.	PUNCT
ejpam-6225	244	6	/	/	SYM
ejpam-6225	244	7	eur	eur	PROPN
ejpam-6225	244	8	.	.	PUNCT
ejpam-6225	245	1	j.	j.	PROPN
ejpam-6225	245	2	pure	pure	PROPN
ejpam-6225	245	3	appl	appl	PROPN
ejpam-6225	245	4	.	.	PROPN
ejpam-6225	245	5	math	math	PROPN
ejpam-6225	245	6	,	,	PUNCT
ejpam-6225	245	7	18	18	NUM
ejpam-6225	245	8	(	(	PUNCT
ejpam-6225	245	9	4	4	NUM
ejpam-6225	245	10	)	)	PUNCT
ejpam-6225	245	11	(	(	PUNCT
ejpam-6225	245	12	2025	2025	NUM
ejpam-6225	245	13	)	)	PUNCT
ejpam-6225	245	14	,	,	PUNCT
ejpam-6225	245	15	6225	6225	NUM
ejpam-6225	245	16	8	8	NUM
ejpam-6225	245	17	of	of	ADP
ejpam-6225	245	18	36	36	NUM
ejpam-6225	245	19	theorem	theorem	ADJ
ejpam-6225	245	20	3.2	3.2	NUM
ejpam-6225	245	21	.	.	PUNCT
ejpam-6225	246	1	let	let	VERB
ejpam-6225	246	2	b	b	NOUN
ejpam-6225	246	3	=	=	SYM
ejpam-6225	246	4	(	(	PUNCT
ejpam-6225	246	5	f	f	X
ejpam-6225	246	6	,	,	PUNCT
ejpam-6225	246	7	g	g	NOUN
ejpam-6225	246	8	:	:	PUNCT
ejpam-6225	246	9	℘	℘	PROPN
ejpam-6225	246	10	)	)	PUNCT
ejpam-6225	246	11	∈	∈	PROPN
ejpam-6225	246	12	bssq	bssq	NOUN
ejpam-6225	246	13	and	and	CCONJ
ejpam-6225	246	14	βl	βl	NOUN
ejpam-6225	246	15	=	=	PUNCT
ejpam-6225	246	16	(	(	PUNCT
ejpam-6225	246	17	q	q	ADJ
ejpam-6225	246	18	,	,	PUNCT
ejpam-6225	246	19	(	(	PUNCT
ejpam-6225	246	20	f	f	X
ejpam-6225	246	21	,	,	PUNCT
ejpam-6225	246	22	g	g	NOUN
ejpam-6225	246	23	:	:	PUNCT
ejpam-6225	246	24	℘	℘	NUM
ejpam-6225	246	25	)	)	PUNCT
ejpam-6225	246	26	,	,	PUNCT
ejpam-6225	246	27	l	l	NOUN
ejpam-6225	246	28	)	)	PUNCT
ejpam-6225	246	29	be	be	AUX
ejpam-6225	246	30	ibsa	ibsa	NOUN
ejpam-6225	246	31	-	-	NOUN
ejpam-6225	246	32	space	space	NOUN
ejpam-6225	246	33	.	.	PUNCT
ejpam-6225	247	1	for	for	ADP
ejpam-6225	247	2	=	=	SYM
ejpam-6225	247	3	,	,	PUNCT
ejpam-6225	247	4	ϑ	ϑ	X
ejpam-6225	247	5	⊆	⊆	NUM
ejpam-6225	247	6	q	q	NOUN
ejpam-6225	247	7	,	,	PUNCT
ejpam-6225	247	8	the	the	DET
ejpam-6225	247	9	following	follow	VERB
ejpam-6225	247	10	properties	property	NOUN
ejpam-6225	247	11	hold	hold	VERB
ejpam-6225	247	12	:	:	PUNCT
ejpam-6225	247	13	(	(	PUNCT
ejpam-6225	247	14	1	1	X
ejpam-6225	247	15	)	)	PUNCT
ejpam-6225	247	16	srl	srl	PROPN
ejpam-6225	247	17	β+(=c	β+(=c	PUNCT
ejpam-6225	247	18	)	)	PUNCT
ejpam-6225	247	19	=	=	PUNCT
ejpam-6225	248	1	[	[	X
ejpam-6225	248	2	sr	sr	X
ejpam-6225	248	3	l	l	PROPN
ejpam-6225	248	4	β+(=)]c	β+(=)]c	PROPN
ejpam-6225	248	5	;	;	PUNCT
ejpam-6225	248	6	(	(	PUNCT
ejpam-6225	248	7	2	2	X
ejpam-6225	248	8	)	)	PUNCT
ejpam-6225	248	9	=	=	PUNCT
ejpam-6225	249	1	⊆	⊆	NUM
ejpam-6225	249	2	ϑ	ϑ	X
ejpam-6225	249	3	⇒	⇒	X
ejpam-6225	249	4	srl	srl	PROPN
ejpam-6225	249	5	β+(=	β+(=	PROPN
ejpam-6225	249	6	)	)	PUNCT
ejpam-6225	249	7	⊆	⊆	NUM
ejpam-6225	249	8	srl	srl	PROPN
ejpam-6225	249	9	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	249	10	)	)	PUNCT
ejpam-6225	249	11	;	;	PUNCT
ejpam-6225	249	12	(	(	PUNCT
ejpam-6225	249	13	3	3	X
ejpam-6225	249	14	)	)	PUNCT
ejpam-6225	249	15	=	=	PUNCT
ejpam-6225	249	16	⊆	⊆	NUM
ejpam-6225	249	17	ϑ	ϑ	X
ejpam-6225	249	18	⇒	⇒	X
ejpam-6225	249	19	sr	sr	PROPN
ejpam-6225	249	20	l	l	PROPN
ejpam-6225	249	21	β+(=	β+(=	PROPN
ejpam-6225	249	22	)	)	PUNCT
ejpam-6225	249	23	⊆	⊆	NUM
ejpam-6225	249	24	sr	sr	PROPN
ejpam-6225	249	25	l	l	PROPN
ejpam-6225	249	26	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	249	27	)	)	PUNCT
ejpam-6225	249	28	;	;	PUNCT
ejpam-6225	249	29	(	(	PUNCT
ejpam-6225	249	30	4	4	X
ejpam-6225	249	31	)	)	PUNCT
ejpam-6225	249	32	srl	srl	PROPN
ejpam-6225	249	33	β+	β+	PUNCT
ejpam-6225	249	34	[	[	X
ejpam-6225	249	35	srl	srl	X
ejpam-6225	249	36	β+(=	β+(=	NOUN
ejpam-6225	249	37	)	)	PUNCT
ejpam-6225	249	38	]	]	PUNCT
ejpam-6225	250	1	=	=	PUNCT
ejpam-6225	250	2	srl	srl	PROPN
ejpam-6225	250	3	β+(=	β+(=	PROPN
ejpam-6225	250	4	)	)	PUNCT
ejpam-6225	250	5	;	;	PUNCT
ejpam-6225	250	6	(	(	PUNCT
ejpam-6225	250	7	5	5	X
ejpam-6225	250	8	)	)	PUNCT
ejpam-6225	250	9	sr	sr	PROPN
ejpam-6225	250	10	l	l	NOUN
ejpam-6225	250	11	β+	β+	PUNCT
ejpam-6225	251	1	[	[	X
ejpam-6225	251	2	sr	sr	X
ejpam-6225	251	3	l	l	NOUN
ejpam-6225	251	4	β+(=	β+(=	PROPN
ejpam-6225	251	5	)	)	PUNCT
ejpam-6225	251	6	]	]	PUNCT
ejpam-6225	252	1	=	=	PUNCT
ejpam-6225	252	2	sr	sr	PROPN
ejpam-6225	252	3	l	l	NOUN
ejpam-6225	252	4	β+(=	β+(=	PROPN
ejpam-6225	252	5	)	)	PUNCT
ejpam-6225	252	6	;	;	PUNCT
ejpam-6225	252	7	(	(	PUNCT
ejpam-6225	252	8	6	6	X
ejpam-6225	252	9	)	)	PUNCT
ejpam-6225	252	10	srl	srl	PROPN
ejpam-6225	252	11	β+(=	β+(=	PROPN
ejpam-6225	252	12	∩	∩	PROPN
ejpam-6225	252	13	ϑ	ϑ	NOUN
ejpam-6225	252	14	)	)	PUNCT
ejpam-6225	252	15	⊆	⊆	NUM
ejpam-6225	252	16	srl	srl	PROPN
ejpam-6225	252	17	β+(=	β+(=	NOUN
ejpam-6225	252	18	)	)	PUNCT
ejpam-6225	252	19	∩	∩	PROPN
ejpam-6225	252	20	srl	srl	PROPN
ejpam-6225	252	21	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	252	22	)	)	PUNCT
ejpam-6225	252	23	;	;	PUNCT
ejpam-6225	252	24	(	(	PUNCT
ejpam-6225	252	25	7	7	X
ejpam-6225	252	26	)	)	PUNCT
ejpam-6225	252	27	srl	srl	PROPN
ejpam-6225	252	28	β+(=	β+(=	PROPN
ejpam-6225	252	29	)	)	PUNCT
ejpam-6225	252	30	∪	∪	ADP
ejpam-6225	252	31	srl	srl	PROPN
ejpam-6225	252	32	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	252	33	)	)	PUNCT
ejpam-6225	252	34	⊆	⊆	NUM
ejpam-6225	252	35	srl	srl	PROPN
ejpam-6225	252	36	β+(=	β+(=	PROPN
ejpam-6225	252	37	∪	∪	ADP
ejpam-6225	252	38	ϑ	ϑ	NOUN
ejpam-6225	252	39	)	)	PUNCT
ejpam-6225	252	40	;	;	PUNCT
ejpam-6225	252	41	(	(	PUNCT
ejpam-6225	252	42	8)	8)	NUM
ejpam-6225	252	43	sr	sr	NOUN
ejpam-6225	252	44	l	l	PROPN
ejpam-6225	252	45	β+(=	β+(=	PROPN
ejpam-6225	252	46	∩	∩	PROPN
ejpam-6225	252	47	ϑ	ϑ	NOUN
ejpam-6225	252	48	)	)	PUNCT
ejpam-6225	252	49	⊆	⊆	NUM
ejpam-6225	252	50	sr	sr	PROPN
ejpam-6225	252	51	l	l	PROPN
ejpam-6225	252	52	β+(=	β+(=	NOUN
ejpam-6225	252	53	)	)	PUNCT
ejpam-6225	252	54	∩	∩	PROPN
ejpam-6225	252	55	sr	sr	PROPN
ejpam-6225	252	56	l	l	PROPN
ejpam-6225	252	57	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	252	58	)	)	PUNCT
ejpam-6225	252	59	;	;	PUNCT
ejpam-6225	252	60	(	(	PUNCT
ejpam-6225	252	61	9	9	X
ejpam-6225	252	62	)	)	PUNCT
ejpam-6225	252	63	sr	sr	NOUN
ejpam-6225	252	64	l	l	PROPN
ejpam-6225	252	65	β+(=	β+(=	PROPN
ejpam-6225	252	66	)	)	PUNCT
ejpam-6225	252	67	∪	∪	ADP
ejpam-6225	252	68	sr	sr	PROPN
ejpam-6225	252	69	l	l	PROPN
ejpam-6225	252	70	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	252	71	)	)	PUNCT
ejpam-6225	252	72	⊆	⊆	NUM
ejpam-6225	252	73	sr	sr	PROPN
ejpam-6225	252	74	l	l	NOUN
ejpam-6225	252	75	β+(=	β+(=	PROPN
ejpam-6225	252	76	∪	∪	ADP
ejpam-6225	252	77	ϑ	ϑ	NOUN
ejpam-6225	252	78	)	)	PUNCT
ejpam-6225	252	79	.	.	PUNCT
ejpam-6225	253	1	proof	proof	NOUN
ejpam-6225	253	2	.	.	PUNCT
ejpam-6225	254	1	the	the	DET
ejpam-6225	254	2	proof	proof	NOUN
ejpam-6225	254	3	is	be	AUX
ejpam-6225	254	4	analogous	analogous	ADJ
ejpam-6225	254	5	to	to	ADP
ejpam-6225	254	6	the	the	DET
ejpam-6225	254	7	proof	proof	NOUN
ejpam-6225	254	8	of	of	ADP
ejpam-6225	254	9	a	a	DET
ejpam-6225	254	10	proposition	proposition	NOUN
ejpam-6225	254	11	given	give	VERB
ejpam-6225	254	12	in	in	ADP
ejpam-6225	254	13	[	[	X
ejpam-6225	254	14	20	20	NUM
ejpam-6225	254	15	]	]	PUNCT
ejpam-6225	254	16	where	where	SCONJ
ejpam-6225	254	17	the	the	DET
ejpam-6225	254	18	soft	soft	ADJ
ejpam-6225	254	19	ideal	ideal	ADJ
ejpam-6225	254	20	approximations	approximation	NOUN
ejpam-6225	254	21	srl	srl	PROPN
ejpam-6225	254	22	(	(	PUNCT
ejpam-6225	254	23	=)	=)	PROPN
ejpam-6225	254	24	and	and	CCONJ
ejpam-6225	254	25	sr	sr	PROPN
ejpam-6225	254	26	l	l	PROPN
ejpam-6225	254	27	(	(	PUNCT
ejpam-6225	254	28	=)	=)	PROPN
ejpam-6225	254	29	are	be	AUX
ejpam-6225	254	30	used	use	VERB
ejpam-6225	254	31	instead	instead	ADV
ejpam-6225	254	32	of	of	ADP
ejpam-6225	254	33	srl	srl	PROPN
ejpam-6225	254	34	β+(=	β+(=	PROPN
ejpam-6225	254	35	)	)	PUNCT
ejpam-6225	254	36	and	and	CCONJ
ejpam-6225	254	37	sr	sr	PROPN
ejpam-6225	254	38	l	l	PROPN
ejpam-6225	254	39	β+(=	β+(=	PROPN
ejpam-6225	254	40	)	)	PUNCT
ejpam-6225	254	41	,	,	PUNCT
ejpam-6225	254	42	respectively	respectively	ADV
ejpam-6225	254	43	.	.	PUNCT
ejpam-6225	255	1	remark	remark	VERB
ejpam-6225	255	2	3.3	3.3	NUM
ejpam-6225	255	3	.	.	PUNCT
ejpam-6225	256	1	b	b	X
ejpam-6225	256	2	=	=	SYM
ejpam-6225	256	3	(	(	PUNCT
ejpam-6225	256	4	f	f	X
ejpam-6225	256	5	,	,	PUNCT
ejpam-6225	256	6	g	g	NOUN
ejpam-6225	256	7	:	:	PUNCT
ejpam-6225	256	8	℘	℘	PROPN
ejpam-6225	256	9	)	)	PUNCT
ejpam-6225	256	10	∈	∈	PROPN
ejpam-6225	256	11	bssq	bssq	NOUN
ejpam-6225	256	12	and	and	CCONJ
ejpam-6225	256	13	βl	βl	NOUN
ejpam-6225	256	14	=	=	PUNCT
ejpam-6225	256	15	(	(	PUNCT
ejpam-6225	256	16	q	q	ADJ
ejpam-6225	256	17	,	,	PUNCT
ejpam-6225	256	18	(	(	PUNCT
ejpam-6225	256	19	f	f	X
ejpam-6225	256	20	,	,	PUNCT
ejpam-6225	256	21	g	g	NOUN
ejpam-6225	256	22	:	:	PUNCT
ejpam-6225	256	23	℘	℘	NUM
ejpam-6225	256	24	)	)	PUNCT
ejpam-6225	256	25	,	,	PUNCT
ejpam-6225	256	26	l	l	NOUN
ejpam-6225	256	27	)	)	PUNCT
ejpam-6225	256	28	be	be	AUX
ejpam-6225	256	29	ibsa	ibsa	NOUN
ejpam-6225	256	30	-	-	NOUN
ejpam-6225	256	31	space	space	NOUN
ejpam-6225	256	32	.	.	PUNCT
ejpam-6225	257	1	for	for	ADP
ejpam-6225	257	2	=	=	SYM
ejpam-6225	257	3	,	,	PUNCT
ejpam-6225	257	4	ϑ	ϑ	X
ejpam-6225	257	5	⊆	⊆	NUM
ejpam-6225	257	6	q	q	NOUN
ejpam-6225	257	7	,	,	PUNCT
ejpam-6225	257	8	we	we	PRON
ejpam-6225	257	9	deduce	deduce	VERB
ejpam-6225	257	10	by	by	ADP
ejpam-6225	257	11	the	the	DET
ejpam-6225	257	12	next	next	ADJ
ejpam-6225	257	13	examples	example	NOUN
ejpam-6225	257	14	that	that	SCONJ
ejpam-6225	257	15	in	in	ADP
ejpam-6225	257	16	general	general	ADJ
ejpam-6225	257	17	:	:	PUNCT
ejpam-6225	257	18	(	(	PUNCT
ejpam-6225	257	19	1	1	X
ejpam-6225	257	20	)	)	PUNCT
ejpam-6225	257	21	srl	srl	NOUN
ejpam-6225	257	22	β+(q	β+(q	NOUN
ejpam-6225	257	23	)	)	PUNCT
ejpam-6225	257	24	6=	6=	PRON
ejpam-6225	258	1	q	q	PROPN
ejpam-6225	258	2	and	and	CCONJ
ejpam-6225	258	3	sr	sr	PROPN
ejpam-6225	258	4	l	l	PROPN
ejpam-6225	258	5	β+(∅	β+(∅	PROPN
ejpam-6225	258	6	)	)	PUNCT
ejpam-6225	259	1	6=	6=	ADP
ejpam-6225	259	2	∅.	∅.	PROPN
ejpam-6225	259	3	(	(	PUNCT
ejpam-6225	259	4	2	2	NUM
ejpam-6225	259	5	)	)	PUNCT
ejpam-6225	259	6	srl	srl	PROPN
ejpam-6225	259	7	β+(∅	β+(∅	NOUN
ejpam-6225	259	8	)	)	PUNCT
ejpam-6225	259	9	6=	6=	ADP
ejpam-6225	259	10	∅	∅	NOUN
ejpam-6225	259	11	and	and	CCONJ
ejpam-6225	259	12	sr	sr	PROPN
ejpam-6225	259	13	l	l	PROPN
ejpam-6225	259	14	β+(q	β+(q	PROPN
ejpam-6225	259	15	)	)	PUNCT
ejpam-6225	259	16	6=	6=	NUM
ejpam-6225	259	17	q.	q.	PROPN
ejpam-6225	259	18	(	(	PUNCT
ejpam-6225	259	19	3	3	NUM
ejpam-6225	259	20	)	)	PUNCT
ejpam-6225	259	21	srl	srl	PROPN
ejpam-6225	259	22	β+(=	β+(=	NUM
ejpam-6225	259	23	)	)	PUNCT
ejpam-6225	259	24	*	*	PUNCT
ejpam-6225	260	1	=	=	X
ejpam-6225	260	2	,	,	PUNCT
ejpam-6225	260	3	=	=	PUNCT
ejpam-6225	260	4	*	*	PUNCT
ejpam-6225	260	5	srl	srl	PROPN
ejpam-6225	260	6	β+(=	β+(=	NOUN
ejpam-6225	260	7	)	)	PUNCT
ejpam-6225	260	8	and	and	CCONJ
ejpam-6225	260	9	sr	sr	PROPN
ejpam-6225	260	10	l	l	PROPN
ejpam-6225	260	11	β+(=	β+(=	PROPN
ejpam-6225	260	12	)	)	PUNCT
ejpam-6225	260	13	*	*	PUNCT
ejpam-6225	261	1	=	=	X
ejpam-6225	261	2	,	,	PUNCT
ejpam-6225	261	3	=	=	PUNCT
ejpam-6225	261	4	*	*	PUNCT
ejpam-6225	261	5	sr	sr	PROPN
ejpam-6225	261	6	l	l	NOUN
ejpam-6225	261	7	β+(=	β+(=	PROPN
ejpam-6225	261	8	)	)	PUNCT
ejpam-6225	261	9	.	.	PUNCT
ejpam-6225	262	1	(	(	PUNCT
ejpam-6225	262	2	4	4	X
ejpam-6225	262	3	)	)	PUNCT
ejpam-6225	262	4	srl	srl	PROPN
ejpam-6225	262	5	β+(=	β+(=	PROPN
ejpam-6225	262	6	)	)	PUNCT
ejpam-6225	262	7	⊆	⊆	NUM
ejpam-6225	262	8	srl	srl	PROPN
ejpam-6225	262	9	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	262	10	)	)	PUNCT
ejpam-6225	262	11	;	;	PUNCT
ejpam-6225	262	12	=	=	SYM
ejpam-6225	262	13	⊆	⊆	NUM
ejpam-6225	262	14	ϑ	ϑ	X
ejpam-6225	262	15	and	and	CCONJ
ejpam-6225	262	16	sr	sr	PROPN
ejpam-6225	262	17	l	l	PROPN
ejpam-6225	262	18	β+(=	β+(=	PROPN
ejpam-6225	262	19	)	)	PUNCT
ejpam-6225	262	20	⊆	⊆	NUM
ejpam-6225	262	21	sr	sr	PROPN
ejpam-6225	262	22	l	l	PROPN
ejpam-6225	262	23	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	262	24	)	)	PUNCT
ejpam-6225	262	25	;	;	PUNCT
ejpam-6225	263	1	=	=	PUNCT
ejpam-6225	263	2	⊆	⊆	NUM
ejpam-6225	263	3	ϑ.	ϑ.	NOUN
ejpam-6225	263	4	(	(	PUNCT
ejpam-6225	263	5	5	5	X
ejpam-6225	263	6	)	)	PUNCT
ejpam-6225	263	7	sr	sr	PROPN
ejpam-6225	263	8	l	l	NOUN
ejpam-6225	263	9	β+(=	β+(=	PROPN
ejpam-6225	263	10	)	)	PUNCT
ejpam-6225	263	11	*	*	PUNCT
ejpam-6225	263	12	srl	srl	PROPN
ejpam-6225	263	13	β+	β+	PUNCT
ejpam-6225	263	14	[	[	X
ejpam-6225	263	15	sr	sr	X
ejpam-6225	263	16	l	l	NOUN
ejpam-6225	263	17	β+(=	β+(=	PROPN
ejpam-6225	263	18	)	)	PUNCT
ejpam-6225	263	19	]	]	PUNCT
ejpam-6225	263	20	and	and	CCONJ
ejpam-6225	263	21	sr	sr	PROPN
ejpam-6225	263	22	l	l	PROPN
ejpam-6225	263	23	β+(=	β+(=	PROPN
ejpam-6225	263	24	)	)	PUNCT
ejpam-6225	264	1	+	+	CCONJ
ejpam-6225	264	2	srl	srl	PROPN
ejpam-6225	264	3	β+	β+	PUNCT
ejpam-6225	265	1	[	[	X
ejpam-6225	265	2	sr	sr	X
ejpam-6225	265	3	l	l	PROPN
ejpam-6225	265	4	β+(=	β+(=	PROPN
ejpam-6225	265	5	)	)	PUNCT
ejpam-6225	265	6	]	]	PUNCT
ejpam-6225	265	7	.	.	PUNCT
ejpam-6225	266	1	(	(	PUNCT
ejpam-6225	266	2	6	6	NUM
ejpam-6225	266	3	)	)	PUNCT
ejpam-6225	266	4	srl	srl	PROPN
ejpam-6225	266	5	β+(=	β+(=	NUM
ejpam-6225	266	6	)	)	PUNCT
ejpam-6225	266	7	*	*	PUNCT
ejpam-6225	267	1	sr	sr	PROPN
ejpam-6225	267	2	l	l	NOUN
ejpam-6225	267	3	β+	β+	PUNCT
ejpam-6225	268	1	[	[	X
ejpam-6225	268	2	srl	srl	X
ejpam-6225	268	3	β+(=	β+(=	NOUN
ejpam-6225	268	4	)	)	PUNCT
ejpam-6225	268	5	]	]	PUNCT
ejpam-6225	268	6	and	and	CCONJ
ejpam-6225	268	7	srl	srl	PROPN
ejpam-6225	268	8	β+(=	β+(=	PROPN
ejpam-6225	268	9	)	)	PUNCT
ejpam-6225	269	1	+	+	CCONJ
ejpam-6225	269	2	sr	sr	PROPN
ejpam-6225	269	3	l	l	NOUN
ejpam-6225	269	4	β+	β+	PUNCT
ejpam-6225	270	1	[	[	X
ejpam-6225	270	2	srl	srl	X
ejpam-6225	270	3	β+(=	β+(=	NOUN
ejpam-6225	270	4	)	)	PUNCT
ejpam-6225	270	5	]	]	PUNCT
ejpam-6225	270	6	.	.	PUNCT
ejpam-6225	271	1	(	(	PUNCT
ejpam-6225	271	2	7	7	X
ejpam-6225	271	3	)	)	PUNCT
ejpam-6225	271	4	srl	srl	PROPN
ejpam-6225	271	5	β+(=	β+(=	PROPN
ejpam-6225	271	6	∩	∩	PROPN
ejpam-6225	271	7	ϑ	ϑ	X
ejpam-6225	271	8	)	)	PUNCT
ejpam-6225	271	9	6=	6=	NUM
ejpam-6225	271	10	srl	srl	PROPN
ejpam-6225	271	11	β+(=	β+(=	NOUN
ejpam-6225	271	12	)	)	PUNCT
ejpam-6225	271	13	∩	∩	PROPN
ejpam-6225	271	14	srl	srl	PROPN
ejpam-6225	271	15	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	271	16	)	)	PUNCT
ejpam-6225	271	17	and	and	CCONJ
ejpam-6225	272	1	sr	sr	PROPN
ejpam-6225	272	2	l	l	PROPN
ejpam-6225	272	3	β+(=	β+(=	PROPN
ejpam-6225	272	4	∪	∪	ADP
ejpam-6225	272	5	ϑ	ϑ	NOUN
ejpam-6225	272	6	)	)	PUNCT
ejpam-6225	272	7	6=	6=	ADP
ejpam-6225	272	8	sr	sr	PROPN
ejpam-6225	272	9	l	l	PROPN
ejpam-6225	272	10	β+(=	β+(=	PROPN
ejpam-6225	272	11	)	)	PUNCT
ejpam-6225	272	12	∪	∪	ADP
ejpam-6225	272	13	sr	sr	PROPN
ejpam-6225	272	14	l	l	PROPN
ejpam-6225	272	15	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	272	16	)	)	PUNCT
ejpam-6225	272	17	.	.	PUNCT
ejpam-6225	273	1	example	example	NOUN
ejpam-6225	273	2	3.2	3.2	NUM
ejpam-6225	273	3	.	.	PUNCT
ejpam-6225	274	1	let	let	VERB
ejpam-6225	274	2	(	(	PUNCT
ejpam-6225	274	3	f	f	X
ejpam-6225	274	4	,	,	PUNCT
ejpam-6225	274	5	g	g	NOUN
ejpam-6225	274	6	:	:	PUNCT
ejpam-6225	274	7	℘	℘	PROPN
ejpam-6225	274	8	)	)	PUNCT
ejpam-6225	274	9	∈	∈	PROPN
ejpam-6225	274	10	bssq	bssq	NOUN
ejpam-6225	274	11	,	,	PUNCT
ejpam-6225	274	12	where	where	SCONJ
ejpam-6225	274	13	q	q	NOUN
ejpam-6225	274	14	=	=	SYM
ejpam-6225	274	15	1ג	1ג	NUM
ejpam-6225	274	16	}	}	PUNCT
ejpam-6225	274	17	,	,	PUNCT
ejpam-6225	274	18	,	,	PUNCT
ejpam-6225	274	19	2ג	2ג	NUM
ejpam-6225	274	20	,	,	PUNCT
ejpam-6225	274	21	3ג	3ג	NUM
ejpam-6225	274	22	,	,	PUNCT
ejpam-6225	274	23	4ג	4ג	NOUN
ejpam-6225	274	24	,	,	PUNCT
ejpam-6225	274	25	5ג	5ג	NOUN
ejpam-6225	274	26	{	{	PUNCT
ejpam-6225	274	27	6ג	6ג	NOUN
ejpam-6225	274	28	and	and	CCONJ
ejpam-6225	274	29	℘	℘	PROPN
ejpam-6225	274	30	=	=	SYM
ejpam-6225	274	31	{	{	PUNCT
ejpam-6225	274	32	ς1	ς1	NOUN
ejpam-6225	274	33	,	,	PUNCT
ejpam-6225	274	34	ς2	ς2	PROPN
ejpam-6225	274	35	,	,	PUNCT
ejpam-6225	274	36	ς3	ς3	NOUN
ejpam-6225	274	37	,	,	PUNCT
ejpam-6225	274	38	ς4	ς4	NOUN
ejpam-6225	274	39	,	,	PUNCT
ejpam-6225	274	40	ς5	ς5	NOUN
ejpam-6225	274	41	}	}	PUNCT
ejpam-6225	274	42	.	.	PUNCT
ejpam-6225	275	1	the	the	DET
ejpam-6225	275	2	maps	maps	PROPN
ejpam-6225	275	3	f	f	PROPN
ejpam-6225	275	4	and	and	CCONJ
ejpam-6225	275	5	g	g	PROPN
ejpam-6225	275	6	are	be	AUX
ejpam-6225	275	7	given	give	VERB
ejpam-6225	275	8	as	as	ADP
ejpam-6225	275	9	follow	follow	NOUN
ejpam-6225	275	10	:	:	PUNCT
ejpam-6225	275	11	f	f	X
ejpam-6225	275	12	:	:	PUNCT
ejpam-6225	275	13	℘	℘	VERB
ejpam-6225	275	14	−→	−→	NOUN
ejpam-6225	275	15	2q	2q	NOUN
ejpam-6225	275	16	,	,	PUNCT
ejpam-6225	275	17	ς	ς	PROPN
ejpam-6225	275	18	7→	7→	NUM
ejpam-6225	275	19			NUM
ejpam-6225	275	20	,	,	PUNCT
ejpam-6225	275	21	1ג	1ג	NUM
ejpam-6225	275	22	}	}	PUNCT
ejpam-6225	275	23	{	{	PUNCT
ejpam-6225	275	24	6ג	6ג	NUM
ejpam-6225	275	25	,	,	PUNCT
ejpam-6225	275	26	if	if	SCONJ
ejpam-6225	275	27	ς	ς	PROPN
ejpam-6225	275	28	=	=	PUNCT
ejpam-6225	275	29	ς1	ς1	NOUN
ejpam-6225	275	30	,	,	PUNCT
ejpam-6225	275	31	{	{	PUNCT
ejpam-6225	275	32	}	}	PUNCT
ejpam-6225	275	33	,	,	PUNCT
ejpam-6225	275	34	if	if	SCONJ
ejpam-6225	275	35	ς	ς	PROPN
ejpam-6225	275	36	=	=	SYM
ejpam-6225	275	37	ς2	ς2	PROPN
ejpam-6225	275	38	,	,	PUNCT
ejpam-6225	275	39	{	{	PUNCT
ejpam-6225	275	40	3ג	3ג	NOUN
ejpam-6225	275	41	}	}	PUNCT
ejpam-6225	275	42	,	,	PUNCT
ejpam-6225	275	43	if	if	SCONJ
ejpam-6225	275	44	ς	ς	PROPN
ejpam-6225	275	45	=	=	SYM
ejpam-6225	275	46	ς3	ς3	PROPN
ejpam-6225	275	47	,	,	PUNCT
ejpam-6225	275	48	,	,	PUNCT
ejpam-6225	275	49	1ג	1ג	NOUN
ejpam-6225	275	50	}	}	PUNCT
ejpam-6225	275	51	,	,	PUNCT
ejpam-6225	275	52	2ג	2ג	NUM
ejpam-6225	275	53	{	{	PUNCT
ejpam-6225	275	54	3ג	3ג	NUM
ejpam-6225	275	55	,	,	PUNCT
ejpam-6225	275	56	if	if	SCONJ
ejpam-6225	275	57	ς	ς	PROPN
ejpam-6225	275	58	=	=	PROPN
ejpam-6225	275	59	ς4	ς4	PROPN
ejpam-6225	275	60	,	,	PUNCT
ejpam-6225	275	61	,	,	PUNCT
ejpam-6225	275	62	1ג	1ג	NOUN
ejpam-6225	275	63	}	}	PUNCT
ejpam-6225	275	64	,	,	PUNCT
ejpam-6225	275	65	2ג	2ג	NOUN
ejpam-6225	275	66	{	{	PUNCT
ejpam-6225	275	67	5ג	5ג	NOUN
ejpam-6225	275	68	,	,	PUNCT
ejpam-6225	275	69	if	if	SCONJ
ejpam-6225	275	70	ς	ς	PROPN
ejpam-6225	275	71	=	=	SYM
ejpam-6225	275	72	ς5	ς5	PROPN
ejpam-6225	275	73	and	and	CCONJ
ejpam-6225	275	74	g	g	NOUN
ejpam-6225	275	75	:	:	PUNCT
ejpam-6225	275	76	ℵ	ℵ	X
ejpam-6225	275	77	−→	−→	NOUN
ejpam-6225	275	78	2q	2q	NOUN
ejpam-6225	275	79	,	,	PUNCT
ejpam-6225	275	80	¬ς	¬ς	PROPN
ejpam-6225	275	81	7→	7→	NUM
ejpam-6225	275	82			NUM
ejpam-6225	275	83	,	,	PUNCT
ejpam-6225	275	84	4ג	4ג	NOUN
ejpam-6225	275	85	}	}	PUNCT
ejpam-6225	275	86	{	{	PUNCT
ejpam-6225	275	87	5ג	5ג	NOUN
ejpam-6225	275	88	,	,	PUNCT
ejpam-6225	276	1	if	if	SCONJ
ejpam-6225	276	2	¬ς	¬ς	NOUN
ejpam-6225	276	3	=	=	SYM
ejpam-6225	276	4	¬ς1	¬ς1	ADV
ejpam-6225	276	5	,	,	PUNCT
ejpam-6225	276	6	{	{	PUNCT
ejpam-6225	276	7	5ג	5ג	NOUN
ejpam-6225	276	8	}	}	PUNCT
ejpam-6225	276	9	,	,	PUNCT
ejpam-6225	276	10	if	if	SCONJ
ejpam-6225	276	11	¬ς	¬ς	NOUN
ejpam-6225	276	12	=	=	SYM
ejpam-6225	276	13	¬ς2	¬ς2	NOUN
ejpam-6225	276	14	,	,	PUNCT
ejpam-6225	276	15	,	,	PUNCT
ejpam-6225	276	16	2ג	2ג	NUM
ejpam-6225	276	17	}	}	PUNCT
ejpam-6225	276	18	{	{	PUNCT
ejpam-6225	276	19	6ג	6ג	NUM
ejpam-6225	276	20	,	,	PUNCT
ejpam-6225	276	21	if	if	SCONJ
ejpam-6225	276	22	¬ς	¬ς	NOUN
ejpam-6225	276	23	=	=	SYM
ejpam-6225	276	24	¬ς3	¬ς3	NOUN
ejpam-6225	276	25	,	,	PUNCT
ejpam-6225	276	26	{	{	PUNCT
ejpam-6225	276	27	4ג	4ג	NOUN
ejpam-6225	276	28	}	}	PUNCT
ejpam-6225	276	29	,	,	PUNCT
ejpam-6225	276	30	if	if	SCONJ
ejpam-6225	276	31	¬ς	¬ς	NOUN
ejpam-6225	276	32	=	=	SYM
ejpam-6225	276	33	¬ς4	¬ς4	NOUN
ejpam-6225	276	34	,	,	PUNCT
ejpam-6225	276	35	,	,	PUNCT
ejpam-6225	276	36	3ג	3ג	NOUN
ejpam-6225	276	37	}	}	PUNCT
ejpam-6225	276	38	{	{	PUNCT
ejpam-6225	276	39	6ג	6ג	NUM
ejpam-6225	276	40	,	,	PUNCT
ejpam-6225	276	41	if	if	SCONJ
ejpam-6225	276	42	¬ς	¬ς	NOUN
ejpam-6225	276	43	=	=	SYM
ejpam-6225	276	44	¬ς5	¬ς5	NOUN
ejpam-6225	276	45	.	.	PUNCT
ejpam-6225	277	1	consider	consider	VERB
ejpam-6225	277	2	l	l	NOUN
ejpam-6225	277	3	=	=	SYM
ejpam-6225	277	4	{	{	PUNCT
ejpam-6225	277	5	∅	∅	NOUN
ejpam-6225	277	6	,	,	PUNCT
ejpam-6225	277	7	,	,	PUNCT
ejpam-6225	277	8	{	{	PUNCT
ejpam-6225	277	9	1ג	1ג	NOUN
ejpam-6225	277	10	}	}	PUNCT
ejpam-6225	277	11	,	,	PUNCT
ejpam-6225	277	12	{	{	PUNCT
ejpam-6225	277	13	6ג	6ג	NOUN
ejpam-6225	277	14	}	}	PUNCT
ejpam-6225	277	15	,	,	PUNCT
ejpam-6225	277	16	1ג	1ג	NOUN
ejpam-6225	277	17	}	}	PUNCT
ejpam-6225	278	1	.{{6ג	.{{6ג	ADV
ejpam-6225	278	2	then	then	ADV
ejpam-6225	278	3	,	,	PUNCT
ejpam-6225	278	4	d.	d.	PROPN
ejpam-6225	278	5	shi	shi	PROPN
ejpam-6225	278	6	et	et	PROPN
ejpam-6225	278	7	al	al	PROPN
ejpam-6225	278	8	.	.	PUNCT
ejpam-6225	278	9	/	/	SYM
ejpam-6225	278	10	eur	eur	PROPN
ejpam-6225	278	11	.	.	PUNCT
ejpam-6225	279	1	j.	j.	PROPN
ejpam-6225	279	2	pure	pure	PROPN
ejpam-6225	279	3	appl	appl	PROPN
ejpam-6225	279	4	.	.	PROPN
ejpam-6225	279	5	math	math	PROPN
ejpam-6225	279	6	,	,	PUNCT
ejpam-6225	279	7	18	18	NUM
ejpam-6225	279	8	(	(	PUNCT
ejpam-6225	279	9	4	4	NUM
ejpam-6225	279	10	)	)	PUNCT
ejpam-6225	279	11	(	(	PUNCT
ejpam-6225	279	12	2025	2025	NUM
ejpam-6225	279	13	)	)	PUNCT
ejpam-6225	279	14	,	,	PUNCT
ejpam-6225	279	15	6225	6225	NUM
ejpam-6225	279	16	9	9	NUM
ejpam-6225	279	17	of	of	ADP
ejpam-6225	279	18	36	36	NUM
ejpam-6225	279	19	(	(	PUNCT
ejpam-6225	279	20	1	1	NUM
ejpam-6225	279	21	)	)	PUNCT
ejpam-6225	279	22	srl	srl	PROPN
ejpam-6225	279	23	β+(=	β+(=	PROPN
ejpam-6225	279	24	)	)	PUNCT
ejpam-6225	279	25	=	=	SYM
ejpam-6225	279	26	∪{f(ς	∪{f(ς	PROPN
ejpam-6225	279	27	)	)	PUNCT
ejpam-6225	279	28	,	,	PUNCT
ejpam-6225	279	29	ς	ς	PROPN
ejpam-6225	279	30	∈	∈	PROPN
ejpam-6225	279	31	℘	℘	PROPN
ejpam-6225	279	32	:	:	PUNCT
ejpam-6225	279	33	f(ς	f(ς	PROPN
ejpam-6225	279	34	)	)	PUNCT
ejpam-6225	279	35	∩	∩	PROPN
ejpam-6225	279	36	xc	xc	PROPN
ejpam-6225	279	37	∈	∈	PROPN
ejpam-6225	279	38	l	l	PROPN
ejpam-6225	279	39	)	)	PUNCT
ejpam-6225	279	40	}	}	PUNCT
ejpam-6225	279	41	=	=	SYM
ejpam-6225	279	42	,	,	PUNCT
ejpam-6225	279	43	1ג	1ג	NUM
ejpam-6225	279	44	}	}	PUNCT
ejpam-6225	279	45	,	,	PUNCT
ejpam-6225	279	46	2ג	2ג	NUM
ejpam-6225	279	47	,	,	PUNCT
ejpam-6225	279	48	3ג	3ג	NUM
ejpam-6225	279	49	,	,	PUNCT
ejpam-6225	279	50	5ג	5ג	NOUN
ejpam-6225	279	51	{	{	PUNCT
ejpam-6225	279	52	6ג	6ג	NUM
ejpam-6225	279	53	6=	6=	PUNCT
ejpam-6225	280	1	=	=	X
ejpam-6225	280	2	.	.	PUNCT
ejpam-6225	281	1	then	then	ADV
ejpam-6225	281	2	,	,	PUNCT
ejpam-6225	281	3	sr	sr	PROPN
ejpam-6225	281	4	l	l	PROPN
ejpam-6225	281	5	β+(∅	β+(∅	PROPN
ejpam-6225	281	6	)	)	PUNCT
ejpam-6225	282	1	=	=	PUNCT
ejpam-6225	283	1	[	[	X
ejpam-6225	283	2	srl	srl	X
ejpam-6225	283	3	β+(=)]c	β+(=)]c	NOUN
ejpam-6225	283	4	=	=	SYM
ejpam-6225	283	5	{	{	PUNCT
ejpam-6225	283	6	4ג	4ג	NOUN
ejpam-6225	283	7	}	}	PUNCT
ejpam-6225	283	8	6=	6=	ADP
ejpam-6225	283	9	∅.	∅.	PROPN
ejpam-6225	283	10	(	(	PUNCT
ejpam-6225	283	11	2	2	NUM
ejpam-6225	283	12	)	)	PUNCT
ejpam-6225	283	13	srl	srl	PROPN
ejpam-6225	283	14	β+(∅	β+(∅	NOUN
ejpam-6225	283	15	)	)	PUNCT
ejpam-6225	283	16	=	=	SYM
ejpam-6225	283	17	∪{f(ς	∪{f(ς	PROPN
ejpam-6225	283	18	)	)	PUNCT
ejpam-6225	283	19	,	,	PUNCT
ejpam-6225	283	20	ς	ς	PROPN
ejpam-6225	283	21	∈	∈	PROPN
ejpam-6225	283	22	℘	℘	PROPN
ejpam-6225	283	23	:	:	PUNCT
ejpam-6225	283	24	f(ς	f(ς	PROPN
ejpam-6225	283	25	)	)	PUNCT
ejpam-6225	283	26	∩	∩	PROPN
ejpam-6225	283	27	∅c	∅c	PROPN
ejpam-6225	283	28	∈	∈	PROPN
ejpam-6225	283	29	l	l	NOUN
ejpam-6225	283	30	)	)	PUNCT
ejpam-6225	283	31	}	}	PUNCT
ejpam-6225	283	32	=	=	SYM
ejpam-6225	283	33	,	,	PUNCT
ejpam-6225	283	34	1ג	1ג	NUM
ejpam-6225	283	35	}	}	PUNCT
ejpam-6225	283	36	{	{	PUNCT
ejpam-6225	283	37	6ג	6ג	NUM
ejpam-6225	283	38	6=	6=	ADP
ejpam-6225	283	39	∅.	∅.	ADP
ejpam-6225	283	40	then	then	ADV
ejpam-6225	283	41	,	,	PUNCT
ejpam-6225	283	42	sr	sr	PROPN
ejpam-6225	283	43	l	l	PROPN
ejpam-6225	283	44	β+(=	β+(=	PROPN
ejpam-6225	283	45	)	)	PUNCT
ejpam-6225	283	46	=	=	PUNCT
ejpam-6225	284	1	[	[	X
ejpam-6225	284	2	srl	srl	PROPN
ejpam-6225	284	3	β+(∅)]c	β+(∅)]c	NUM
ejpam-6225	284	4	=	=	SYM
ejpam-6225	284	5	,	,	PUNCT
ejpam-6225	284	6	2ג	2ג	NUM
ejpam-6225	284	7	}	}	PUNCT
ejpam-6225	284	8	,	,	PUNCT
ejpam-6225	284	9	3ג	3ג	NUM
ejpam-6225	284	10	,	,	PUNCT
ejpam-6225	284	11	4ג	4ג	NOUN
ejpam-6225	284	12	{	{	PUNCT
ejpam-6225	284	13	5ג	5ג	NOUN
ejpam-6225	284	14	6=	6=	PUNCT
ejpam-6225	285	1	=	=	X
ejpam-6225	285	2	.	.	PUNCT
ejpam-6225	286	1	(	(	PUNCT
ejpam-6225	286	2	3	3	X
ejpam-6225	286	3	)	)	PUNCT
ejpam-6225	286	4	let	let	VERB
ejpam-6225	286	5	=	=	PUNCT
ejpam-6225	286	6	=	=	SYM
ejpam-6225	287	1	.{4ג	.{4ג	PUNCT
ejpam-6225	287	2	}	}	PUNCT
ejpam-6225	287	3	then	then	ADV
ejpam-6225	287	4	,	,	PUNCT
ejpam-6225	287	5	srl	srl	PROPN
ejpam-6225	287	6	β+(=	β+(=	NOUN
ejpam-6225	287	7	)	)	PUNCT
ejpam-6225	287	8	=	=	SYM
ejpam-6225	287	9	,	,	PUNCT
ejpam-6225	287	10	1ג	1ג	NOUN
ejpam-6225	287	11	}	}	PUNCT
ejpam-6225	288	1	.{6ג	.{6ג	ADV
ejpam-6225	288	2	hence	hence	ADV
ejpam-6225	288	3	,	,	PUNCT
ejpam-6225	288	4	srl	srl	PROPN
ejpam-6225	288	5	β+(=	β+(=	NUM
ejpam-6225	288	6	)	)	PUNCT
ejpam-6225	288	7	*	*	PUNCT
ejpam-6225	289	1	=	=	PUNCT
ejpam-6225	289	2	and	and	CCONJ
ejpam-6225	289	3	=	=	SYM
ejpam-6225	289	4	*	*	PUNCT
ejpam-6225	289	5	srl	srl	PROPN
ejpam-6225	289	6	β+(=	β+(=	PROPN
ejpam-6225	289	7	)	)	PUNCT
ejpam-6225	289	8	.	.	PUNCT
ejpam-6225	290	1	(	(	PUNCT
ejpam-6225	290	2	4	4	NUM
ejpam-6225	290	3	)	)	PUNCT
ejpam-6225	290	4	from	from	ADP
ejpam-6225	290	5	part	part	NOUN
ejpam-6225	290	6	(	(	PUNCT
ejpam-6225	290	7	3	3	NUM
ejpam-6225	290	8	)	)	PUNCT
ejpam-6225	290	9	,	,	PUNCT
ejpam-6225	290	10	if	if	SCONJ
ejpam-6225	290	11	=	=	PRON
ejpam-6225	290	12	=	=	X
ejpam-6225	290	13	,	,	PUNCT
ejpam-6225	290	14	1ג	1ג	NUM
ejpam-6225	290	15	}	}	PUNCT
ejpam-6225	290	16	,	,	PUNCT
ejpam-6225	290	17	2ג	2ג	NUM
ejpam-6225	290	18	,	,	PUNCT
ejpam-6225	290	19	3ג	3ג	NUM
ejpam-6225	290	20	,	,	PUNCT
ejpam-6225	290	21	5ג	5ג	NOUN
ejpam-6225	290	22	.{6ג	.{6ג	PROPN
ejpam-6225	291	1	then	then	ADV
ejpam-6225	291	2	,	,	PUNCT
ejpam-6225	291	3	sr	sr	PROPN
ejpam-6225	291	4	l	l	PROPN
ejpam-6225	291	5	β+(=	β+(=	PROPN
ejpam-6225	291	6	)	)	PUNCT
ejpam-6225	292	1	=	=	SYM
ejpam-6225	292	2	,	,	PUNCT
ejpam-6225	292	3	2ג	2ג	NUM
ejpam-6225	292	4	}	}	PUNCT
ejpam-6225	292	5	,	,	PUNCT
ejpam-6225	292	6	3ג	3ג	NUM
ejpam-6225	292	7	,	,	PUNCT
ejpam-6225	292	8	4ג	4ג	NOUN
ejpam-6225	292	9	.{5ג	.{5ג	X
ejpam-6225	293	1	hence	hence	ADV
ejpam-6225	293	2	,	,	PUNCT
ejpam-6225	293	3	sr	sr	PROPN
ejpam-6225	293	4	l	l	PROPN
ejpam-6225	293	5	β+(=	β+(=	PROPN
ejpam-6225	293	6	)	)	PUNCT
ejpam-6225	293	7	*	*	PUNCT
ejpam-6225	294	1	=	=	PUNCT
ejpam-6225	294	2	and	and	CCONJ
ejpam-6225	294	3	=	=	SYM
ejpam-6225	294	4	*	*	PUNCT
ejpam-6225	294	5	sr	sr	PROPN
ejpam-6225	294	6	l	l	NOUN
ejpam-6225	294	7	β+(=	β+(=	PROPN
ejpam-6225	294	8	)	)	PUNCT
ejpam-6225	294	9	.	.	PUNCT
ejpam-6225	295	1	(	(	PUNCT
ejpam-6225	295	2	5	5	X
ejpam-6225	295	3	)	)	PUNCT
ejpam-6225	295	4	let	let	VERB
ejpam-6225	295	5	=	=	PRON
ejpam-6225	295	6	=	=	SYM
ejpam-6225	295	7	,	,	PUNCT
ejpam-6225	295	8	1ג	1ג	NUM
ejpam-6225	295	9	}	}	PUNCT
ejpam-6225	295	10	,	,	PUNCT
ejpam-6225	295	11	2ג	2ג	NUM
ejpam-6225	295	12	,	,	PUNCT
ejpam-6225	295	13	{	{	PUNCT
ejpam-6225	295	14	3ג	3ג	NUM
ejpam-6225	295	15	b	b	NOUN
ejpam-6225	295	16	=	=	SYM
ejpam-6225	295	17	,	,	PUNCT
ejpam-6225	295	18	1ג	1ג	NUM
ejpam-6225	295	19	}	}	PUNCT
ejpam-6225	295	20	,	,	PUNCT
ejpam-6225	295	21	2ג	2ג	NOUN
ejpam-6225	295	22	.{4ג	.{4ג	PUNCT
ejpam-6225	296	1	then	then	ADV
ejpam-6225	296	2	,	,	PUNCT
ejpam-6225	296	3	srl	srl	PROPN
ejpam-6225	296	4	β+(=	β+(=	NOUN
ejpam-6225	296	5	)	)	PUNCT
ejpam-6225	296	6	=	=	NOUN
ejpam-6225	296	7	,	,	PUNCT
ejpam-6225	296	8	1ג	1ג	NUM
ejpam-6225	296	9	}	}	PUNCT
ejpam-6225	296	10	,	,	PUNCT
ejpam-6225	296	11	2ג	2ג	NUM
ejpam-6225	296	12	,	,	PUNCT
ejpam-6225	296	13	3ג	3ג	NUM
ejpam-6225	296	14	{	{	PUNCT
ejpam-6225	296	15	6ג	6ג	NOUN
ejpam-6225	296	16	and	and	CCONJ
ejpam-6225	296	17	srl	srl	PROPN
ejpam-6225	296	18	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	296	19	)	)	PUNCT
ejpam-6225	296	20	=	=	SYM
ejpam-6225	296	21	,	,	PUNCT
ejpam-6225	296	22	1ג	1ג	NOUN
ejpam-6225	296	23	}	}	PUNCT
ejpam-6225	296	24	.{6ג	.{6ג	PUNCT
ejpam-6225	297	1	so	so	ADV
ejpam-6225	297	2	,	,	PUNCT
ejpam-6225	297	3	srl	srl	PROPN
ejpam-6225	297	4	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	297	5	)	)	PUNCT
ejpam-6225	297	6	⊆	⊆	NUM
ejpam-6225	297	7	srl	srl	PROPN
ejpam-6225	297	8	β+(=	β+(=	NOUN
ejpam-6225	297	9	)	)	PUNCT
ejpam-6225	297	10	,	,	PUNCT
ejpam-6225	297	11	but	but	CCONJ
ejpam-6225	297	12	ϑ	ϑ	X
ejpam-6225	297	13	*	*	PUNCT
ejpam-6225	298	1	=	=	NOUN
ejpam-6225	298	2	.	.	PUNCT
ejpam-6225	299	1	also	also	ADV
ejpam-6225	299	2	,	,	PUNCT
ejpam-6225	299	3	if	if	SCONJ
ejpam-6225	299	4	=	=	PRON
ejpam-6225	299	5	=	=	SYM
ejpam-6225	299	6	,	,	PUNCT
ejpam-6225	299	7	4ג	4ג	NOUN
ejpam-6225	299	8	}	}	PUNCT
ejpam-6225	299	9	,	,	PUNCT
ejpam-6225	299	10	5ג	5ג	NOUN
ejpam-6225	299	11	,	,	PUNCT
ejpam-6225	299	12	{	{	PUNCT
ejpam-6225	299	13	6ג	6ג	NOUN
ejpam-6225	299	14	b	b	PROPN
ejpam-6225	299	15	=	=	SYM
ejpam-6225	299	16	,	,	PUNCT
ejpam-6225	299	17	3ג	3ג	NOUN
ejpam-6225	299	18	}	}	PUNCT
ejpam-6225	299	19	,	,	PUNCT
ejpam-6225	299	20	5ג	5ג	NOUN
ejpam-6225	299	21	.{6ג	.{6ג	PROPN
ejpam-6225	300	1	then	then	ADV
ejpam-6225	300	2	,	,	PUNCT
ejpam-6225	300	3	sr	sr	PROPN
ejpam-6225	300	4	l	l	PROPN
ejpam-6225	300	5	β+(=	β+(=	PROPN
ejpam-6225	300	6	)	)	PUNCT
ejpam-6225	301	1	=	=	SYM
ejpam-6225	301	2	,	,	PUNCT
ejpam-6225	301	3	4ג	4ג	NOUN
ejpam-6225	301	4	}	}	PUNCT
ejpam-6225	301	5	{	{	PUNCT
ejpam-6225	301	6	5ג	5ג	NOUN
ejpam-6225	301	7	and	and	CCONJ
ejpam-6225	301	8	sr	sr	PROPN
ejpam-6225	301	9	l	l	PROPN
ejpam-6225	301	10	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	301	11	)	)	PUNCT
ejpam-6225	301	12	=	=	SYM
ejpam-6225	301	13	,	,	PUNCT
ejpam-6225	301	14	2ג	2ג	NUM
ejpam-6225	301	15	}	}	PUNCT
ejpam-6225	301	16	,	,	PUNCT
ejpam-6225	301	17	3ג	3ג	NUM
ejpam-6225	301	18	,	,	PUNCT
ejpam-6225	301	19	4ג	4ג	NOUN
ejpam-6225	301	20	.{5ג	.{5ג	PUNCT
ejpam-6225	302	1	so	so	ADV
ejpam-6225	302	2	,	,	PUNCT
ejpam-6225	302	3	sr	sr	PROPN
ejpam-6225	302	4	l	l	PROPN
ejpam-6225	302	5	β+(=	β+(=	PROPN
ejpam-6225	302	6	)	)	PUNCT
ejpam-6225	302	7	⊆	⊆	NUM
ejpam-6225	302	8	sr	sr	PROPN
ejpam-6225	302	9	l	l	PROPN
ejpam-6225	302	10	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	302	11	)	)	PUNCT
ejpam-6225	302	12	but	but	CCONJ
ejpam-6225	303	1	=	=	SYM
ejpam-6225	303	2	*	*	PUNCT
ejpam-6225	303	3	ϑ.	ϑ.	NOUN
ejpam-6225	303	4	(	(	PUNCT
ejpam-6225	303	5	6	6	NUM
ejpam-6225	303	6	)	)	PUNCT
ejpam-6225	303	7	from	from	ADP
ejpam-6225	303	8	part	part	NOUN
ejpam-6225	303	9	(	(	PUNCT
ejpam-6225	303	10	4	4	NUM
ejpam-6225	303	11	)	)	PUNCT
ejpam-6225	303	12	,	,	PUNCT
ejpam-6225	303	13	if	if	SCONJ
ejpam-6225	303	14	=	=	PRON
ejpam-6225	303	15	=	=	X
ejpam-6225	303	16	,	,	PUNCT
ejpam-6225	303	17	1ג	1ג	NUM
ejpam-6225	303	18	}	}	PUNCT
ejpam-6225	303	19	,	,	PUNCT
ejpam-6225	303	20	2ג	2ג	NUM
ejpam-6225	303	21	,	,	PUNCT
ejpam-6225	303	22	3ג	3ג	NUM
ejpam-6225	303	23	,	,	PUNCT
ejpam-6225	303	24	5ג	5ג	NOUN
ejpam-6225	303	25	.{6ג	.{6ג	PROPN
ejpam-6225	304	1	then	then	ADV
ejpam-6225	304	2	,	,	PUNCT
ejpam-6225	304	3	sr	sr	PROPN
ejpam-6225	304	4	l	l	PROPN
ejpam-6225	304	5	β+(=	β+(=	PROPN
ejpam-6225	304	6	)	)	PUNCT
ejpam-6225	305	1	=	=	SYM
ejpam-6225	305	2	,	,	PUNCT
ejpam-6225	305	3	2ג	2ג	NUM
ejpam-6225	305	4	}	}	PUNCT
ejpam-6225	305	5	,	,	PUNCT
ejpam-6225	305	6	3ג	3ג	NUM
ejpam-6225	305	7	,	,	PUNCT
ejpam-6225	305	8	4ג	4ג	NOUN
ejpam-6225	305	9	.{5ג	.{5ג	PUNCT
ejpam-6225	306	1	so	so	ADV
ejpam-6225	306	2	,	,	PUNCT
ejpam-6225	306	3	srl	srl	PROPN
ejpam-6225	306	4	β+	β+	PUNCT
ejpam-6225	306	5	[	[	X
ejpam-6225	306	6	sr	sr	X
ejpam-6225	306	7	l	l	NOUN
ejpam-6225	306	8	β+(=	β+(=	PROPN
ejpam-6225	306	9	)	)	PUNCT
ejpam-6225	306	10	]	]	PUNCT
ejpam-6225	307	1	=	=	PUNCT
ejpam-6225	307	2	x.	x.	NOUN
ejpam-6225	307	3	hence	hence	ADV
ejpam-6225	307	4	,	,	PUNCT
ejpam-6225	307	5	sr	sr	PROPN
ejpam-6225	307	6	l	l	PROPN
ejpam-6225	307	7	β+(=	β+(=	PROPN
ejpam-6225	307	8	)	)	PUNCT
ejpam-6225	308	1	+	+	CCONJ
ejpam-6225	308	2	srl	srl	PROPN
ejpam-6225	308	3	β+	β+	PUNCT
ejpam-6225	309	1	[	[	X
ejpam-6225	309	2	sr	sr	X
ejpam-6225	309	3	l	l	PROPN
ejpam-6225	309	4	β+(=	β+(=	PROPN
ejpam-6225	309	5	)	)	PUNCT
ejpam-6225	309	6	]	]	PUNCT
ejpam-6225	309	7	.	.	PUNCT
ejpam-6225	310	1	(	(	PUNCT
ejpam-6225	310	2	7	7	NUM
ejpam-6225	310	3	)	)	PUNCT
ejpam-6225	310	4	from	from	ADP
ejpam-6225	310	5	part	part	NOUN
ejpam-6225	310	6	(	(	PUNCT
ejpam-6225	310	7	6	6	NUM
ejpam-6225	310	8	)	)	PUNCT
ejpam-6225	310	9	,	,	PUNCT
ejpam-6225	310	10	if	if	SCONJ
ejpam-6225	310	11	=	=	PRON
ejpam-6225	310	12	=	=	X
ejpam-6225	310	13	,	,	PUNCT
ejpam-6225	310	14	1ג	1ג	NUM
ejpam-6225	310	15	}	}	PUNCT
ejpam-6225	310	16	,	,	PUNCT
ejpam-6225	310	17	2ג	2ג	NUM
ejpam-6225	310	18	,	,	PUNCT
ejpam-6225	310	19	3ג	3ג	NUM
ejpam-6225	310	20	,	,	PUNCT
ejpam-6225	310	21	5ג	5ג	NOUN
ejpam-6225	310	22	.{6ג	.{6ג	PROPN
ejpam-6225	311	1	then	then	ADV
ejpam-6225	311	2	,	,	PUNCT
ejpam-6225	311	3	srl	srl	PROPN
ejpam-6225	311	4	β+(=	β+(=	NOUN
ejpam-6225	311	5	)	)	PUNCT
ejpam-6225	312	1	=	=	PUNCT
ejpam-6225	313	1	=	=	PUNCT
ejpam-6225	313	2	but	but	CCONJ
ejpam-6225	313	3	sr	sr	PROPN
ejpam-6225	313	4	l	l	PROPN
ejpam-6225	313	5	β+	β+	PUNCT
ejpam-6225	314	1	[	[	X
ejpam-6225	314	2	srl	srl	X
ejpam-6225	314	3	β+(=	β+(=	NOUN
ejpam-6225	314	4	)	)	PUNCT
ejpam-6225	314	5	]	]	PUNCT
ejpam-6225	315	1	=	=	PUNCT
ejpam-6225	315	2	sr	sr	PROPN
ejpam-6225	315	3	l	l	NOUN
ejpam-6225	315	4	β+(=	β+(=	PROPN
ejpam-6225	315	5	)	)	PUNCT
ejpam-6225	315	6	=	=	SYM
ejpam-6225	315	7	,	,	PUNCT
ejpam-6225	315	8	2ג	2ג	NUM
ejpam-6225	315	9	}	}	PUNCT
ejpam-6225	315	10	,	,	PUNCT
ejpam-6225	315	11	3ג	3ג	NUM
ejpam-6225	315	12	,	,	PUNCT
ejpam-6225	315	13	4ג	4ג	NOUN
ejpam-6225	315	14	.{5ג	.{5ג	X
ejpam-6225	316	1	hence	hence	ADV
ejpam-6225	316	2	,	,	PUNCT
ejpam-6225	316	3	srl	srl	PROPN
ejpam-6225	316	4	β+(=	β+(=	NUM
ejpam-6225	316	5	)	)	PUNCT
ejpam-6225	316	6	*	*	PUNCT
ejpam-6225	317	1	sr	sr	PROPN
ejpam-6225	317	2	l	l	NOUN
ejpam-6225	317	3	β+	β+	PUNCT
ejpam-6225	318	1	[	[	X
ejpam-6225	318	2	srl	srl	X
ejpam-6225	318	3	β+(=	β+(=	NOUN
ejpam-6225	318	4	)	)	PUNCT
ejpam-6225	318	5	]	]	PUNCT
ejpam-6225	318	6	and	and	CCONJ
ejpam-6225	318	7	srl	srl	PROPN
ejpam-6225	318	8	β+(=	β+(=	PROPN
ejpam-6225	318	9	)	)	PUNCT
ejpam-6225	319	1	+	+	CCONJ
ejpam-6225	319	2	sr	sr	PROPN
ejpam-6225	319	3	l	l	NOUN
ejpam-6225	319	4	β+	β+	PUNCT
ejpam-6225	320	1	[	[	X
ejpam-6225	320	2	srl	srl	X
ejpam-6225	320	3	β+(=	β+(=	NOUN
ejpam-6225	320	4	)	)	PUNCT
ejpam-6225	320	5	]	]	PUNCT
ejpam-6225	320	6	.	.	PUNCT
ejpam-6225	321	1	(	(	PUNCT
ejpam-6225	321	2	8)	8)	NUM
ejpam-6225	321	3	consider	consider	VERB
ejpam-6225	321	4	l	l	NOUN
ejpam-6225	321	5	=	=	SYM
ejpam-6225	321	6	{	{	PUNCT
ejpam-6225	321	7	∅	∅	NOUN
ejpam-6225	321	8	,	,	PUNCT
ejpam-6225	321	9	,	,	PUNCT
ejpam-6225	321	10	{	{	PUNCT
ejpam-6225	321	11	4ג	4ג	NOUN
ejpam-6225	321	12	}	}	PUNCT
ejpam-6225	321	13	,	,	PUNCT
ejpam-6225	321	14	{	{	PUNCT
ejpam-6225	321	15	6ג	6ג	NOUN
ejpam-6225	321	16	}	}	PUNCT
ejpam-6225	321	17	,	,	PUNCT
ejpam-6225	321	18	4ג	4ג	NOUN
ejpam-6225	321	19	}	}	PUNCT
ejpam-6225	321	20	{	{	PUNCT
ejpam-6225	321	21	{	{	PUNCT
ejpam-6225	321	22	6ג	6ג	NUM
ejpam-6225	321	23	and	and	CCONJ
ejpam-6225	321	24	=	=	SYM
ejpam-6225	321	25	=	=	NOUN
ejpam-6225	321	26	,	,	PUNCT
ejpam-6225	321	27	1ג	1ג	NUM
ejpam-6225	321	28	}	}	PUNCT
ejpam-6225	321	29	,	,	PUNCT
ejpam-6225	321	30	2ג	2ג	NUM
ejpam-6225	321	31	.{5ג	.{5ג	PUNCT
ejpam-6225	321	32	then	then	ADV
ejpam-6225	321	33	,	,	PUNCT
ejpam-6225	321	34	sr	sr	PROPN
ejpam-6225	321	35	l	l	PROPN
ejpam-6225	321	36	β+(=	β+(=	PROPN
ejpam-6225	321	37	)	)	PUNCT
ejpam-6225	321	38	=	=	NOUN
ejpam-6225	321	39	,	,	PUNCT
ejpam-6225	321	40	1ג	1ג	NUM
ejpam-6225	321	41	}	}	PUNCT
ejpam-6225	321	42	,	,	PUNCT
ejpam-6225	321	43	2ג	2ג	NUM
ejpam-6225	321	44	,	,	PUNCT
ejpam-6225	321	45	4ג	4ג	NOUN
ejpam-6225	321	46	,	,	PUNCT
ejpam-6225	321	47	5ג	5ג	NOUN
ejpam-6225	321	48	.{6ג	.{6ג	PROPN
ejpam-6225	322	1	so	so	ADV
ejpam-6225	322	2	,	,	PUNCT
ejpam-6225	322	3	srl	srl	PROPN
ejpam-6225	322	4	β+	β+	PUNCT
ejpam-6225	322	5	[	[	X
ejpam-6225	322	6	sr	sr	X
ejpam-6225	322	7	l	l	NOUN
ejpam-6225	322	8	β+(=	β+(=	PROPN
ejpam-6225	322	9	)	)	PUNCT
ejpam-6225	322	10	]	]	PUNCT
ejpam-6225	323	1	=	=	X
ejpam-6225	323	2	,	,	PUNCT
ejpam-6225	323	3	1ג	1ג	NOUN
ejpam-6225	323	4	}	}	PUNCT
ejpam-6225	323	5	.{6ג	.{6ג	ADV
ejpam-6225	323	6	hence	hence	ADV
ejpam-6225	323	7	,	,	PUNCT
ejpam-6225	323	8	sr	sr	PROPN
ejpam-6225	323	9	l	l	PROPN
ejpam-6225	323	10	β+(=	β+(=	PROPN
ejpam-6225	323	11	)	)	PUNCT
ejpam-6225	323	12	*	*	PUNCT
ejpam-6225	323	13	srl	srl	PROPN
ejpam-6225	323	14	β+	β+	PUNCT
ejpam-6225	323	15	[	[	X
ejpam-6225	323	16	sr	sr	X
ejpam-6225	323	17	l	l	PROPN
ejpam-6225	323	18	β+(=	β+(=	PROPN
ejpam-6225	323	19	)	)	PUNCT
ejpam-6225	323	20	]	]	PUNCT
ejpam-6225	323	21	.	.	PUNCT
ejpam-6225	324	1	(	(	PUNCT
ejpam-6225	324	2	9	9	X
ejpam-6225	324	3	)	)	PUNCT
ejpam-6225	324	4	consider	consider	VERB
ejpam-6225	324	5	l	l	NOUN
ejpam-6225	324	6	=	=	SYM
ejpam-6225	324	7	{	{	PUNCT
ejpam-6225	324	8	∅	∅	NOUN
ejpam-6225	324	9	,	,	PUNCT
ejpam-6225	324	10	,	,	PUNCT
ejpam-6225	324	11	{	{	PUNCT
ejpam-6225	324	12	4ג	4ג	NOUN
ejpam-6225	324	13	}	}	PUNCT
ejpam-6225	324	14	,	,	PUNCT
ejpam-6225	324	15	{	{	PUNCT
ejpam-6225	324	16	5ג	5ג	NOUN
ejpam-6225	324	17	}	}	PUNCT
ejpam-6225	324	18	,	,	PUNCT
ejpam-6225	324	19	4ג	4ג	NOUN
ejpam-6225	324	20	}	}	PUNCT
ejpam-6225	324	21	.{{5ג	.{{5ג	ADJ
ejpam-6225	324	22	if	if	SCONJ
ejpam-6225	324	23	=	=	PRON
ejpam-6225	324	24	=	=	X
ejpam-6225	324	25	,	,	PUNCT
ejpam-6225	324	26	1ג	1ג	NUM
ejpam-6225	324	27	}	}	PUNCT
ejpam-6225	324	28	,	,	PUNCT
ejpam-6225	324	29	2ג	2ג	NUM
ejpam-6225	324	30	,	,	PUNCT
ejpam-6225	324	31	3ג	3ג	NUM
ejpam-6225	324	32	{	{	PUNCT
ejpam-6225	324	33	5ג	5ג	NOUN
ejpam-6225	324	34	and	and	CCONJ
ejpam-6225	324	35	b	b	NOUN
ejpam-6225	324	36	=	=	SYM
ejpam-6225	324	37	,	,	PUNCT
ejpam-6225	324	38	1ג	1ג	NOUN
ejpam-6225	324	39	}	}	PUNCT
ejpam-6225	324	40	.{6ג	.{6ג	PROPN
ejpam-6225	324	41	then	then	ADV
ejpam-6225	324	42	,	,	PUNCT
ejpam-6225	324	43	srl	srl	PROPN
ejpam-6225	324	44	β+(=)∩srl	β+(=)∩srl	PRON
ejpam-6225	324	45	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	324	46	)	)	PUNCT
ejpam-6225	324	47	=	=	SYM
ejpam-6225	324	48	,	,	PUNCT
ejpam-6225	324	49	1ג	1ג	NUM
ejpam-6225	324	50	}	}	PUNCT
ejpam-6225	324	51	,	,	PUNCT
ejpam-6225	324	52	2ג	2ג	NUM
ejpam-6225	324	53	,	,	PUNCT
ejpam-6225	324	54	3ג	3ג	NUM
ejpam-6225	324	55	,	,	PUNCT
ejpam-6225	324	56	1ג}∩{5ג	1ג}∩{5ג	NUM
ejpam-6225	324	57	{	{	PUNCT
ejpam-6225	324	58	6ג	6ג	NOUN
ejpam-6225	324	59	=	=	PUNCT
ejpam-6225	324	60	{	{	PUNCT
ejpam-6225	324	61	1ג	1ג	NOUN
ejpam-6225	324	62	}	}	PUNCT
ejpam-6225	324	63	but	but	CCONJ
ejpam-6225	324	64	srl	srl	PROPN
ejpam-6225	324	65	β+(=∩ϑ	β+(=∩ϑ	PROPN
ejpam-6225	324	66	)	)	PUNCT
ejpam-6225	324	67	=	=	SYM
ejpam-6225	324	68	srl	srl	PROPN
ejpam-6225	324	69	β+({1ג	β+({1ג	NOUN
ejpam-6225	324	70	}	}	PUNCT
ejpam-6225	324	71	)	)	PUNCT
ejpam-6225	325	1	=	=	PUNCT
ejpam-6225	325	2	∅.	∅.	VERB
ejpam-6225	325	3	also	also	ADV
ejpam-6225	325	4	,	,	PUNCT
ejpam-6225	325	5	if	if	SCONJ
ejpam-6225	325	6	=	=	PRON
ejpam-6225	325	7	=	=	SYM
ejpam-6225	325	8	,	,	PUNCT
ejpam-6225	325	9	2ג	2ג	NUM
ejpam-6225	325	10	}	}	PUNCT
ejpam-6225	325	11	{	{	PUNCT
ejpam-6225	325	12	3ג	3ג	NUM
ejpam-6225	325	13	and	and	CCONJ
ejpam-6225	325	14	b	b	NOUN
ejpam-6225	325	15	=	=	SYM
ejpam-6225	325	16	,	,	PUNCT
ejpam-6225	325	17	4ג	4ג	NOUN
ejpam-6225	325	18	}	}	PUNCT
ejpam-6225	325	19	,	,	PUNCT
ejpam-6225	325	20	5ג	5ג	NOUN
ejpam-6225	325	21	.{6ג	.{6ג	PROPN
ejpam-6225	325	22	then	then	ADV
ejpam-6225	325	23	,	,	PUNCT
ejpam-6225	325	24	sr	sr	PROPN
ejpam-6225	325	25	l	l	NOUN
ejpam-6225	325	26	β+(=)∪sr	β+(=)∪sr	PUNCT
ejpam-6225	325	27	l	l	NOUN
ejpam-6225	325	28	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	325	29	)	)	PUNCT
ejpam-6225	325	30	=	=	SYM
ejpam-6225	325	31	,	,	PUNCT
ejpam-6225	325	32	2ג	2ג	NUM
ejpam-6225	325	33	}	}	PUNCT
ejpam-6225	325	34	,	,	PUNCT
ejpam-6225	325	35	3ג	3ג	NUM
ejpam-6225	325	36	,	,	PUNCT
ejpam-6225	325	37	4ג	4ג	NOUN
ejpam-6225	325	38	∪{5ג	∪{5ג	NOUN
ejpam-6225	325	39	,	,	PUNCT
ejpam-6225	325	40	4ג	4ג	NOUN
ejpam-6225	325	41	}	}	PUNCT
ejpam-6225	325	42	{	{	PUNCT
ejpam-6225	325	43	6ג	6ג	NOUN
ejpam-6225	325	44	=	=	SYM
ejpam-6225	325	45	,	,	PUNCT
ejpam-6225	325	46	2ג	2ג	NUM
ejpam-6225	325	47	}	}	PUNCT
ejpam-6225	325	48	,	,	PUNCT
ejpam-6225	325	49	3ג	3ג	NUM
ejpam-6225	325	50	,	,	PUNCT
ejpam-6225	325	51	4ג	4ג	NOUN
ejpam-6225	325	52	,	,	PUNCT
ejpam-6225	325	53	5ג	5ג	NOUN
ejpam-6225	325	54	{	{	PUNCT
ejpam-6225	325	55	6ג	6ג	NUM
ejpam-6225	325	56	but	but	CCONJ
ejpam-6225	325	57	sr	sr	PROPN
ejpam-6225	325	58	l	l	PROPN
ejpam-6225	325	59	β+(=	β+(=	PROPN
ejpam-6225	325	60	∪	∪	ADP
ejpam-6225	325	61	ϑ	ϑ	NOUN
ejpam-6225	325	62	)	)	PUNCT
ejpam-6225	325	63	=	=	SYM
ejpam-6225	325	64	x.	x.	NOUN
ejpam-6225	325	65	theorem	theorem	VERB
ejpam-6225	325	66	3.3	3.3	NUM
ejpam-6225	325	67	.	.	PUNCT
ejpam-6225	326	1	let	let	VERB
ejpam-6225	326	2	b	b	NOUN
ejpam-6225	326	3	=	=	SYM
ejpam-6225	326	4	(	(	PUNCT
ejpam-6225	326	5	f	f	X
ejpam-6225	326	6	,	,	PUNCT
ejpam-6225	326	7	g	g	NOUN
ejpam-6225	326	8	:	:	PUNCT
ejpam-6225	326	9	℘	℘	PROPN
ejpam-6225	326	10	)	)	PUNCT
ejpam-6225	326	11	∈	∈	PROPN
ejpam-6225	326	12	bssq	bssq	NOUN
ejpam-6225	326	13	and	and	CCONJ
ejpam-6225	326	14	βl	βl	NOUN
ejpam-6225	326	15	=	=	PUNCT
ejpam-6225	326	16	(	(	PUNCT
ejpam-6225	326	17	q	q	ADJ
ejpam-6225	326	18	,	,	PUNCT
ejpam-6225	326	19	(	(	PUNCT
ejpam-6225	326	20	f	f	X
ejpam-6225	326	21	,	,	PUNCT
ejpam-6225	326	22	g	g	NOUN
ejpam-6225	326	23	:	:	PUNCT
ejpam-6225	326	24	℘	℘	NUM
ejpam-6225	326	25	)	)	PUNCT
ejpam-6225	326	26	,	,	PUNCT
ejpam-6225	326	27	l	l	NOUN
ejpam-6225	326	28	)	)	PUNCT
ejpam-6225	326	29	be	be	AUX
ejpam-6225	326	30	ibsa	ibsa	NOUN
ejpam-6225	326	31	-	-	NOUN
ejpam-6225	326	32	space	space	NOUN
ejpam-6225	326	33	.	.	PUNCT
ejpam-6225	327	1	for	for	ADP
ejpam-6225	327	2	=	=	SYM
ejpam-6225	327	3	,	,	PUNCT
ejpam-6225	327	4	ϑ	ϑ	X
ejpam-6225	327	5	⊆	⊆	NUM
ejpam-6225	327	6	q	q	NOUN
ejpam-6225	327	7	,	,	PUNCT
ejpam-6225	327	8	the	the	DET
ejpam-6225	327	9	following	follow	VERB
ejpam-6225	327	10	properties	property	NOUN
ejpam-6225	327	11	hold	hold	VERB
ejpam-6225	327	12	:	:	PUNCT
ejpam-6225	327	13	(	(	PUNCT
ejpam-6225	327	14	1	1	X
ejpam-6225	327	15	)	)	PUNCT
ejpam-6225	327	16	=	=	PUNCT
ejpam-6225	328	1	⊆	⊆	NUM
ejpam-6225	328	2	ϑ	ϑ	X
ejpam-6225	328	3	=	=	AUX
ejpam-6225	328	4	⇒	⇒	X
ejpam-6225	328	5	sr	sr	PROPN
ejpam-6225	328	6	l	l	PROPN
ejpam-6225	328	7	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	8	)	)	PUNCT
ejpam-6225	328	9	⊆	⊆	NUM
ejpam-6225	328	10	sr	sr	PROPN
ejpam-6225	328	11	l	l	PROPN
ejpam-6225	328	12	β−(=	β−(=	PROPN
ejpam-6225	328	13	)	)	PUNCT
ejpam-6225	328	14	;	;	PUNCT
ejpam-6225	328	15	(	(	PUNCT
ejpam-6225	328	16	2	2	X
ejpam-6225	328	17	)	)	PUNCT
ejpam-6225	328	18	=	=	PUNCT
ejpam-6225	328	19	⊆	⊆	NUM
ejpam-6225	328	20	ϑ	ϑ	X
ejpam-6225	328	21	=	=	AUX
ejpam-6225	328	22	⇒	⇒	X
ejpam-6225	328	23	srl	srl	PROPN
ejpam-6225	328	24	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	25	)	)	PUNCT
ejpam-6225	328	26	⊆	⊆	NUM
ejpam-6225	328	27	srl	srl	PROPN
ejpam-6225	328	28	β−(=	β−(=	NOUN
ejpam-6225	328	29	)	)	PUNCT
ejpam-6225	328	30	;	;	PUNCT
ejpam-6225	328	31	(	(	PUNCT
ejpam-6225	328	32	3	3	X
ejpam-6225	328	33	)	)	PUNCT
ejpam-6225	328	34	sr	sr	PROPN
ejpam-6225	328	35	l	l	PROPN
ejpam-6225	328	36	β−(=	β−(=	PROPN
ejpam-6225	328	37	∩	∩	PROPN
ejpam-6225	328	38	ϑ	ϑ	X
ejpam-6225	328	39	)	)	PUNCT
ejpam-6225	328	40	⊇	⊇	PROPN
ejpam-6225	328	41	sr	sr	PROPN
ejpam-6225	328	42	l	l	PROPN
ejpam-6225	328	43	β−(=	β−(=	PROPN
ejpam-6225	328	44	)	)	PUNCT
ejpam-6225	328	45	∪	∪	ADP
ejpam-6225	328	46	sr	sr	PROPN
ejpam-6225	328	47	l	l	PROPN
ejpam-6225	328	48	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	49	)	)	PUNCT
ejpam-6225	328	50	;	;	PUNCT
ejpam-6225	328	51	(	(	PUNCT
ejpam-6225	328	52	4	4	X
ejpam-6225	328	53	)	)	PUNCT
ejpam-6225	328	54	sr	sr	PROPN
ejpam-6225	328	55	l	l	PROPN
ejpam-6225	328	56	β−(=	β−(=	PROPN
ejpam-6225	328	57	∪	∪	ADP
ejpam-6225	328	58	ϑ	ϑ	NOUN
ejpam-6225	328	59	)	)	PUNCT
ejpam-6225	328	60	⊆	⊆	NUM
ejpam-6225	328	61	sr	sr	PROPN
ejpam-6225	328	62	l	l	PROPN
ejpam-6225	328	63	β−(=	β−(=	PROPN
ejpam-6225	328	64	)	)	PUNCT
ejpam-6225	328	65	∩	∩	ADJ
ejpam-6225	328	66	sr	sr	PROPN
ejpam-6225	328	67	l	l	PROPN
ejpam-6225	328	68	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	69	)	)	PUNCT
ejpam-6225	328	70	;	;	PUNCT
ejpam-6225	328	71	(	(	PUNCT
ejpam-6225	328	72	5	5	X
ejpam-6225	328	73	)	)	PUNCT
ejpam-6225	328	74	srl	srl	PROPN
ejpam-6225	328	75	β−(=	β−(=	PROPN
ejpam-6225	328	76	∩	∩	PROPN
ejpam-6225	328	77	ϑ	ϑ	X
ejpam-6225	328	78	)	)	PUNCT
ejpam-6225	328	79	⊇	⊇	PROPN
ejpam-6225	328	80	srl	srl	PROPN
ejpam-6225	328	81	β−(=	β−(=	PROPN
ejpam-6225	328	82	)	)	PUNCT
ejpam-6225	328	83	∪	∪	ADP
ejpam-6225	328	84	srl	srl	PROPN
ejpam-6225	328	85	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	86	)	)	PUNCT
ejpam-6225	328	87	;	;	PUNCT
ejpam-6225	328	88	(	(	PUNCT
ejpam-6225	328	89	6	6	X
ejpam-6225	328	90	)	)	PUNCT
ejpam-6225	328	91	srl	srl	PROPN
ejpam-6225	328	92	β−(=	β−(=	PROPN
ejpam-6225	328	93	∪	∪	ADP
ejpam-6225	328	94	ϑ	ϑ	NOUN
ejpam-6225	328	95	)	)	PUNCT
ejpam-6225	328	96	⊆	⊆	NUM
ejpam-6225	328	97	srl	srl	PROPN
ejpam-6225	328	98	β−(=	β−(=	NOUN
ejpam-6225	328	99	)	)	PUNCT
ejpam-6225	328	100	∩	∩	NOUN
ejpam-6225	328	101	srl	srl	PROPN
ejpam-6225	328	102	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	328	103	)	)	PUNCT
ejpam-6225	328	104	;	;	PUNCT
ejpam-6225	328	105	(	(	PUNCT
ejpam-6225	328	106	7	7	X
ejpam-6225	328	107	)	)	PUNCT
ejpam-6225	328	108	sr	sr	NOUN
ejpam-6225	328	109	l	l	NOUN
ejpam-6225	328	110	β−	β−	PUNCT
ejpam-6225	328	111	(=	(=	PUNCT
ejpam-6225	328	112	c	c	X
ejpam-6225	328	113	)	)	PUNCT
ejpam-6225	328	114	=	=	SYM
ejpam-6225	328	115	(	(	PUNCT
ejpam-6225	328	116	srl	srl	PROPN
ejpam-6225	328	117	β−(=	β−(=	PROPN
ejpam-6225	328	118	)	)	PUNCT
ejpam-6225	328	119	)	)	PUNCT
ejpam-6225	329	1	c	c	NOUN
ejpam-6225	329	2	.	.	PUNCT
ejpam-6225	330	1	proof	proof	NOUN
ejpam-6225	330	2	.	.	PUNCT
ejpam-6225	331	1	d.	d.	PROPN
ejpam-6225	331	2	shi	shi	PROPN
ejpam-6225	331	3	et	et	PROPN
ejpam-6225	331	4	al	al	PROPN
ejpam-6225	331	5	.	.	PUNCT
ejpam-6225	331	6	/	/	SYM
ejpam-6225	331	7	eur	eur	PROPN
ejpam-6225	331	8	.	.	PUNCT
ejpam-6225	332	1	j.	j.	PROPN
ejpam-6225	332	2	pure	pure	PROPN
ejpam-6225	332	3	appl	appl	PROPN
ejpam-6225	332	4	.	.	PROPN
ejpam-6225	332	5	math	math	PROPN
ejpam-6225	332	6	,	,	PUNCT
ejpam-6225	332	7	18	18	NUM
ejpam-6225	332	8	(	(	PUNCT
ejpam-6225	332	9	4	4	NUM
ejpam-6225	332	10	)	)	PUNCT
ejpam-6225	332	11	(	(	PUNCT
ejpam-6225	332	12	2025	2025	NUM
ejpam-6225	332	13	)	)	PUNCT
ejpam-6225	332	14	,	,	PUNCT
ejpam-6225	332	15	6225	6225	NUM
ejpam-6225	332	16	10	10	NUM
ejpam-6225	332	17	of	of	ADP
ejpam-6225	332	18	36	36	NUM
ejpam-6225	332	19	(	(	PUNCT
ejpam-6225	332	20	1	1	NUM
ejpam-6225	332	21	)	)	PUNCT
ejpam-6225	332	22	let	let	VERB
ejpam-6225	332	23	ג	ג	PROPN
ejpam-6225	332	24	∈	∈	PROPN
ejpam-6225	332	25	sr	sr	PROPN
ejpam-6225	332	26	l	l	X
ejpam-6225	332	27	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	332	28	)	)	PUNCT
ejpam-6225	332	29	=	=	SYM
ejpam-6225	332	30	⋃	⋃	NOUN
ejpam-6225	332	31	{	{	PUNCT
ejpam-6225	332	32	g(¬ς	g(¬ς	NOUN
ejpam-6225	332	33	)	)	PUNCT
ejpam-6225	332	34	,	,	PUNCT
ejpam-6225	332	35	¬ς	¬ς	NOUN
ejpam-6225	332	36	∈	∈	PROPN
ejpam-6225	332	37	ℵ	ℵ	NOUN
ejpam-6225	332	38	:	:	PUNCT
ejpam-6225	332	39	g(¬ς	g(¬ς	NOUN
ejpam-6225	332	40	)	)	PUNCT
ejpam-6225	332	41	∩	∩	NOUN
ejpam-6225	332	42	ϑ	ϑ	X
ejpam-6225	332	43	∈	∈	PROPN
ejpam-6225	332	44	l	l	NOUN
ejpam-6225	332	45	}	}	PUNCT
ejpam-6225	332	46	.	.	PUNCT
ejpam-6225	333	1	therefore	therefore	ADV
ejpam-6225	333	2	,	,	PUNCT
ejpam-6225	333	3	there	there	PRON
ejpam-6225	333	4	exist	exist	VERB
ejpam-6225	333	5	some	some	DET
ejpam-6225	333	6	g(¬ς	g(¬ς	NOUN
ejpam-6225	333	7	)	)	PUNCT
ejpam-6225	333	8	such	such	ADJ
ejpam-6225	333	9	that	that	SCONJ
ejpam-6225	333	10	ג	ג	PROPN
ejpam-6225	333	11	∈	∈	PROPN
ejpam-6225	333	12	g(¬ς	g(¬ς	PROPN
ejpam-6225	333	13	)	)	PUNCT
ejpam-6225	333	14	such	such	ADJ
ejpam-6225	333	15	that	that	DET
ejpam-6225	333	16	g(¬ς	g(¬ς	PROPN
ejpam-6225	333	17	)	)	PUNCT
ejpam-6225	333	18	∩	∩	NOUN
ejpam-6225	333	19	ϑ	ϑ	X
ejpam-6225	333	20	∈	∈	PROPN
ejpam-6225	333	21	l	l	NOUN
ejpam-6225	333	22	.	.	PUNCT
ejpam-6225	334	1	because	because	SCONJ
ejpam-6225	334	2	=	=	PROPN
ejpam-6225	334	3	⊆	⊆	NUM
ejpam-6225	334	4	ϑ	ϑ	X
ejpam-6225	334	5	and	and	CCONJ
ejpam-6225	334	6	l	l	NOUN
ejpam-6225	334	7	is	be	AUX
ejpam-6225	334	8	an	an	DET
ejpam-6225	334	9	ideal	ideal	NOUN
ejpam-6225	334	10	,	,	PUNCT
ejpam-6225	334	11	thus	thus	ADV
ejpam-6225	334	12	in	in	ADP
ejpam-6225	334	13	particular	particular	ADJ
ejpam-6225	334	14	,	,	PUNCT
ejpam-6225	334	15	ג	ג	PROPN
ejpam-6225	334	16	∈	∈	PROPN
ejpam-6225	334	17	g(¬ς	g(¬ς	PROPN
ejpam-6225	334	18	)	)	PUNCT
ejpam-6225	334	19	and	and	CCONJ
ejpam-6225	334	20	g(¬ς	g(¬ς	NOUN
ejpam-6225	334	21	)	)	PUNCT
ejpam-6225	334	22	∩	∩	NOUN
ejpam-6225	334	23	=	=	SYM
ejpam-6225	334	24	∈	∈	PROPN
ejpam-6225	334	25	l	l	NOUN
ejpam-6225	334	26	.	.	PUNCT
ejpam-6225	335	1	therefore	therefore	ADV
ejpam-6225	335	2	,	,	PUNCT
ejpam-6225	335	3	ג	ג	PROPN
ejpam-6225	335	4	∈	∈	PROPN
ejpam-6225	335	5	sr	sr	PROPN
ejpam-6225	335	6	l	l	PROPN
ejpam-6225	335	7	β−(=	β−(=	PROPN
ejpam-6225	335	8	)	)	PUNCT
ejpam-6225	335	9	.	.	PUNCT
ejpam-6225	336	1	consequently	consequently	ADV
ejpam-6225	336	2	,	,	PUNCT
ejpam-6225	336	3	sr	sr	PROPN
ejpam-6225	336	4	l	l	PROPN
ejpam-6225	336	5	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	336	6	)	)	PUNCT
ejpam-6225	336	7	⊆	⊆	NUM
ejpam-6225	336	8	sr	sr	PROPN
ejpam-6225	336	9	l	l	PROPN
ejpam-6225	336	10	β−(=	β−(=	PROPN
ejpam-6225	336	11	)	)	PUNCT
ejpam-6225	336	12	(	(	PUNCT
ejpam-6225	336	13	2	2	NUM
ejpam-6225	336	14	)	)	PUNCT
ejpam-6225	336	15	as	as	ADP
ejpam-6225	336	16	=	=	NOUN
ejpam-6225	336	17	⊆	⊆	NUM
ejpam-6225	336	18	ϑ	ϑ	X
ejpam-6225	336	19	,	,	PUNCT
ejpam-6225	336	20	so	so	SCONJ
ejpam-6225	336	21	=	=	PROPN
ejpam-6225	336	22	c	c	PROPN
ejpam-6225	336	23	⊇	⊇	PROPN
ejpam-6225	336	24	ϑc	ϑc	PROPN
ejpam-6225	336	25	.	.	PUNCT
ejpam-6225	337	1	by	by	ADP
ejpam-6225	337	2	part	part	NOUN
ejpam-6225	337	3	(	(	PUNCT
ejpam-6225	337	4	1	1	NUM
ejpam-6225	337	5	)	)	PUNCT
ejpam-6225	337	6	,	,	PUNCT
ejpam-6225	337	7	we	we	PRON
ejpam-6225	337	8	can	can	AUX
ejpam-6225	337	9	infer	infer	VERB
ejpam-6225	337	10	that	that	SCONJ
ejpam-6225	337	11	sr	sr	PROPN
ejpam-6225	337	12	l	l	NOUN
ejpam-6225	337	13	β−	β−	PUNCT
ejpam-6225	338	1	(=	(=	X
ejpam-6225	338	2	c	c	X
ejpam-6225	338	3	)	)	PUNCT
ejpam-6225	338	4	⊆	⊆	NUM
ejpam-6225	338	5	sr	sr	PROPN
ejpam-6225	338	6	l	l	NOUN
ejpam-6225	338	7	β−	β−	PROPN
ejpam-6225	338	8	(	(	PUNCT
ejpam-6225	338	9	ϑc	ϑc	PROPN
ejpam-6225	338	10	)	)	PUNCT
ejpam-6225	338	11	.	.	PUNCT
ejpam-6225	339	1	thus	thus	ADV
ejpam-6225	339	2	,	,	PUNCT
ejpam-6225	339	3	it	it	PRON
ejpam-6225	339	4	implies	imply	VERB
ejpam-6225	339	5	that	that	SCONJ
ejpam-6225	339	6	,	,	PUNCT
ejpam-6225	339	7	(	(	PUNCT
ejpam-6225	339	8	sr	sr	PROPN
ejpam-6225	339	9	l	l	NOUN
ejpam-6225	339	10	β−	β−	PUNCT
ejpam-6225	339	11	(=	(=	ADJ
ejpam-6225	339	12	c	c	NOUN
ejpam-6225	339	13	)	)	PUNCT
ejpam-6225	339	14	)	)	PUNCT
ejpam-6225	340	1	c	c	PROPN
ejpam-6225	340	2	⊇	⊇	X
ejpam-6225	340	3	(	(	PUNCT
ejpam-6225	340	4	sr	sr	PROPN
ejpam-6225	340	5	l	l	NOUN
ejpam-6225	340	6	β−	β−	PROPN
ejpam-6225	340	7	(	(	PUNCT
ejpam-6225	340	8	ϑc	ϑc	NOUN
ejpam-6225	340	9	)	)	PUNCT
ejpam-6225	340	10	)	)	PUNCT
ejpam-6225	341	1	c	c	X
ejpam-6225	341	2	.	.	PUNCT
ejpam-6225	342	1	hence	hence	ADV
ejpam-6225	342	2	,	,	PUNCT
ejpam-6225	342	3	srl	srl	PROPN
ejpam-6225	342	4	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	342	5	)	)	PUNCT
ejpam-6225	342	6	⊆	⊆	NUM
ejpam-6225	342	7	srl	srl	PROPN
ejpam-6225	342	8	β−(=	β−(=	NOUN
ejpam-6225	342	9	)	)	PUNCT
ejpam-6225	342	10	.	.	PUNCT
ejpam-6225	343	1	(	(	PUNCT
ejpam-6225	343	2	3	3	X
ejpam-6225	343	3	)	)	PUNCT
ejpam-6225	343	4	assume	assume	VERB
ejpam-6225	343	5	that	that	SCONJ
ejpam-6225	343	6	ג	ג	PROPN
ejpam-6225	343	7	/∈	/∈	PUNCT
ejpam-6225	343	8	sr	sr	PROPN
ejpam-6225	343	9	l	l	NOUN
ejpam-6225	343	10	β−(=∩ϑ	β−(=∩ϑ	PROPN
ejpam-6225	343	11	)	)	PUNCT
ejpam-6225	343	12	=	=	SYM
ejpam-6225	343	13	⋃	⋃	NOUN
ejpam-6225	343	14	{	{	PUNCT
ejpam-6225	343	15	g(¬ς	g(¬ς	NOUN
ejpam-6225	343	16	)	)	PUNCT
ejpam-6225	343	17	,	,	PUNCT
ejpam-6225	343	18	¬ς	¬ς	NOUN
ejpam-6225	343	19	∈	∈	PROPN
ejpam-6225	343	20	ℵ	ℵ	NOUN
ejpam-6225	343	21	:	:	PUNCT
ejpam-6225	343	22	g(¬ς	g(¬ς	NOUN
ejpam-6225	343	23	)	)	PUNCT
ejpam-6225	343	24	∩	∩	NOUN
ejpam-6225	343	25	(=	(=	NOUN
ejpam-6225	343	26	∩	∩	NOUN
ejpam-6225	343	27	ϑ)l	ϑ)l	PUNCT
ejpam-6225	343	28	}	}	PUNCT
ejpam-6225	343	29	.	.	PUNCT
ejpam-6225	344	1	therefore	therefore	ADV
ejpam-6225	344	2	,	,	PUNCT
ejpam-6225	344	3	for	for	ADP
ejpam-6225	344	4	all	all	DET
ejpam-6225	344	5	¬ς	¬ς	NOUN
ejpam-6225	344	6	∈	∈	PROPN
ejpam-6225	344	7	ℵ	ℵ	NOUN
ejpam-6225	344	8	,	,	PUNCT
ejpam-6225	344	9	ג	ג	PROPN
ejpam-6225	344	10	∈	∈	PROPN
ejpam-6225	344	11	g(¬ς	g(¬ς	PROPN
ejpam-6225	344	12	)	)	PUNCT
ejpam-6225	344	13	,	,	PUNCT
ejpam-6225	344	14	we	we	PRON
ejpam-6225	344	15	have	have	VERB
ejpam-6225	344	16	g(¬ς	g(¬ς	NOUN
ejpam-6225	344	17	)	)	PUNCT
ejpam-6225	344	18	∩	∩	NOUN
ejpam-6225	344	19	[=	[=	X
ejpam-6225	344	20	∩	∩	NOUN
ejpam-6225	344	21	ϑ	ϑ	X
ejpam-6225	344	22	]	]	X
ejpam-6225	344	23	/∈	/∈	PUNCT
ejpam-6225	345	1	l	l	NOUN
ejpam-6225	345	2	.	.	PUNCT
ejpam-6225	346	1	then	then	ADV
ejpam-6225	346	2	,	,	PUNCT
ejpam-6225	346	3	for	for	ADP
ejpam-6225	346	4	all	all	DET
ejpam-6225	346	5	¬ς	¬ς	NOUN
ejpam-6225	346	6	∈	∈	PROPN
ejpam-6225	346	7	ℵ	ℵ	NOUN
ejpam-6225	346	8	,	,	PUNCT
ejpam-6225	346	9	ג	ג	PROPN
ejpam-6225	346	10	∈	∈	PROPN
ejpam-6225	346	11	g(¬ς	g(¬ς	PROPN
ejpam-6225	346	12	)	)	PUNCT
ejpam-6225	346	13	,	,	PUNCT
ejpam-6225	346	14	we	we	PRON
ejpam-6225	346	15	have	have	VERB
ejpam-6225	346	16	g(¬ς	g(¬ς	NOUN
ejpam-6225	346	17	)	)	PUNCT
ejpam-6225	346	18	∩	∩	NOUN
ejpam-6225	346	19	=	=	SYM
ejpam-6225	346	20	/∈	/∈	PUNCT
ejpam-6225	347	1	l	l	NOUN
ejpam-6225	347	2	or	or	CCONJ
ejpam-6225	347	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	347	4	)	)	PUNCT
ejpam-6225	347	5	∩	∩	NOUN
ejpam-6225	347	6	ϑ	ϑ	X
ejpam-6225	347	7	/∈	/∈	X
ejpam-6225	347	8	l	l	NOUN
ejpam-6225	347	9	.	.	PUNCT
ejpam-6225	348	1	consequently	consequently	ADV
ejpam-6225	348	2	,	,	PUNCT
ejpam-6225	348	3	ג	ג	PROPN
ejpam-6225	348	4	/∈	/∈	PUNCT
ejpam-6225	348	5	sr	sr	PROPN
ejpam-6225	348	6	l	l	PROPN
ejpam-6225	348	7	β−(=	β−(=	PROPN
ejpam-6225	348	8	)	)	PUNCT
ejpam-6225	348	9	or	or	CCONJ
ejpam-6225	348	10	ג	ג	PROPN
ejpam-6225	348	11	/∈	/∈	PUNCT
ejpam-6225	348	12	sr	sr	PROPN
ejpam-6225	348	13	l	l	NOUN
ejpam-6225	348	14	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	348	15	)	)	PUNCT
ejpam-6225	348	16	.	.	PUNCT
ejpam-6225	349	1	this	this	PRON
ejpam-6225	349	2	implies	imply	VERB
ejpam-6225	349	3	that	that	SCONJ
ejpam-6225	349	4	,	,	PUNCT
ejpam-6225	349	5	ג	ג	PROPN
ejpam-6225	349	6	/∈	/∈	PUNCT
ejpam-6225	349	7	sr	sr	PROPN
ejpam-6225	349	8	l	l	PROPN
ejpam-6225	349	9	β−(=	β−(=	PROPN
ejpam-6225	349	10	)	)	PUNCT
ejpam-6225	349	11	∪	∪	ADP
ejpam-6225	349	12	sr	sr	PROPN
ejpam-6225	349	13	l	l	PROPN
ejpam-6225	349	14	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	349	15	)	)	PUNCT
ejpam-6225	349	16	.	.	PUNCT
ejpam-6225	350	1	hence	hence	ADV
ejpam-6225	350	2	,	,	PUNCT
ejpam-6225	350	3	sr	sr	PROPN
ejpam-6225	350	4	l	l	PROPN
ejpam-6225	350	5	β−(=	β−(=	PROPN
ejpam-6225	350	6	∩	∩	PROPN
ejpam-6225	350	7	ϑ	ϑ	X
ejpam-6225	350	8	)	)	PUNCT
ejpam-6225	350	9	⊇	⊇	PROPN
ejpam-6225	350	10	sr	sr	PROPN
ejpam-6225	350	11	l	l	PROPN
ejpam-6225	350	12	β−(=	β−(=	PROPN
ejpam-6225	350	13	)	)	PUNCT
ejpam-6225	350	14	∪	∪	ADP
ejpam-6225	350	15	sr	sr	PROPN
ejpam-6225	350	16	l	l	PROPN
ejpam-6225	350	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	350	18	)	)	PUNCT
ejpam-6225	350	19	(	(	PUNCT
ejpam-6225	350	20	4	4	X
ejpam-6225	350	21	)	)	PUNCT
ejpam-6225	350	22	assume	assume	VERB
ejpam-6225	350	23	that	that	SCONJ
ejpam-6225	350	24	ג	ג	PROPN
ejpam-6225	350	25	∈	∈	PROPN
ejpam-6225	350	26	sr	sr	PROPN
ejpam-6225	350	27	l	l	PROPN
ejpam-6225	350	28	β−(=	β−(=	PROPN
ejpam-6225	350	29	∪	∪	ADP
ejpam-6225	350	30	ϑ	ϑ	NOUN
ejpam-6225	350	31	)	)	PUNCT
ejpam-6225	350	32	=	=	SYM
ejpam-6225	350	33	⋃	⋃	NOUN
ejpam-6225	350	34	{	{	PUNCT
ejpam-6225	350	35	g(¬ς	g(¬ς	NOUN
ejpam-6225	350	36	)	)	PUNCT
ejpam-6225	350	37	,	,	PUNCT
ejpam-6225	350	38	¬ς	¬ς	NOUN
ejpam-6225	350	39	∈	∈	PROPN
ejpam-6225	350	40	ℵ	ℵ	NOUN
ejpam-6225	350	41	:	:	PUNCT
ejpam-6225	350	42	g(¬ς	g(¬ς	NOUN
ejpam-6225	350	43	)	)	PUNCT
ejpam-6225	350	44	∩	∩	NOUN
ejpam-6225	350	45	(=	(=	NOUN
ejpam-6225	350	46	∪	∪	ADP
ejpam-6225	350	47	ϑ	ϑ	NOUN
ejpam-6225	350	48	)	)	PUNCT
ejpam-6225	350	49	∈	∈	NOUN
ejpam-6225	350	50	l	l	NOUN
ejpam-6225	350	51	}	}	PUNCT
ejpam-6225	350	52	.	.	PUNCT
ejpam-6225	351	1	thus	thus	ADV
ejpam-6225	351	2	,	,	PUNCT
ejpam-6225	351	3	there	there	PRON
ejpam-6225	351	4	exists	exist	VERB
ejpam-6225	351	5	some	some	DET
ejpam-6225	351	6	g(¬ς	g(¬ς	PROPN
ejpam-6225	351	7	)	)	PUNCT
ejpam-6225	351	8	such	such	ADJ
ejpam-6225	351	9	that	that	SCONJ
ejpam-6225	351	10	ג	ג	PROPN
ejpam-6225	351	11	∈	∈	PROPN
ejpam-6225	351	12	g(¬ς	g(¬ς	PROPN
ejpam-6225	351	13	)	)	PUNCT
ejpam-6225	351	14	and	and	CCONJ
ejpam-6225	351	15	g(¬ς	g(¬ς	PROPN
ejpam-6225	351	16	)	)	PUNCT
ejpam-6225	351	17	∩	∩	NOUN
ejpam-6225	351	18	[=	[=	X
ejpam-6225	351	19	∪	∪	ADP
ejpam-6225	351	20	ϑ	ϑ	X
ejpam-6225	351	21	]	]	X
ejpam-6225	351	22	∈	∈	PROPN
ejpam-6225	351	23	l	l	NOUN
ejpam-6225	351	24	.	.	PUNCT
ejpam-6225	352	1	this	this	PRON
ejpam-6225	352	2	implies	imply	VERB
ejpam-6225	352	3	that	that	SCONJ
ejpam-6225	352	4	ג	ג	PROPN
ejpam-6225	352	5	∈	∈	PROPN
ejpam-6225	352	6	g(¬ς	g(¬ς	PROPN
ejpam-6225	352	7	)	)	PUNCT
ejpam-6225	352	8	such	such	ADJ
ejpam-6225	352	9	that	that	DET
ejpam-6225	352	10	g(¬ς	g(¬ς	NOUN
ejpam-6225	352	11	)	)	PUNCT
ejpam-6225	352	12	∩	∩	NOUN
ejpam-6225	352	13	=	=	SYM
ejpam-6225	352	14	∈	∈	PROPN
ejpam-6225	352	15	l	l	NOUN
ejpam-6225	352	16	and	and	CCONJ
ejpam-6225	352	17	g(¬ς	g(¬ς	PROPN
ejpam-6225	352	18	)	)	PUNCT
ejpam-6225	352	19	∩	∩	NOUN
ejpam-6225	352	20	ϑ	ϑ	X
ejpam-6225	352	21	∈	∈	PROPN
ejpam-6225	352	22	l	l	NOUN
ejpam-6225	352	23	.	.	PUNCT
ejpam-6225	353	1	consequently	consequently	ADV
ejpam-6225	353	2	,	,	PUNCT
ejpam-6225	353	3	ג	ג	PROPN
ejpam-6225	353	4	∈	∈	PROPN
ejpam-6225	353	5	sr	sr	PROPN
ejpam-6225	353	6	l	l	PROPN
ejpam-6225	353	7	β−(=	β−(=	PROPN
ejpam-6225	353	8	)	)	PUNCT
ejpam-6225	353	9	and	and	CCONJ
ejpam-6225	353	10	ג	ג	PROPN
ejpam-6225	353	11	∈	∈	PROPN
ejpam-6225	353	12	sr	sr	PROPN
ejpam-6225	353	13	l	l	PROPN
ejpam-6225	353	14	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	353	15	)	)	PUNCT
ejpam-6225	353	16	.	.	PUNCT
ejpam-6225	354	1	therefore	therefore	ADV
ejpam-6225	354	2	,	,	PUNCT
ejpam-6225	354	3	ג	ג	PROPN
ejpam-6225	354	4	∈	∈	PROPN
ejpam-6225	354	5	sr	sr	PROPN
ejpam-6225	354	6	l	l	PROPN
ejpam-6225	354	7	β−(=	β−(=	PROPN
ejpam-6225	354	8	)	)	PUNCT
ejpam-6225	354	9	∩	∩	ADJ
ejpam-6225	354	10	sr	sr	PROPN
ejpam-6225	354	11	l	l	PROPN
ejpam-6225	354	12	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	354	13	)	)	PUNCT
ejpam-6225	354	14	.	.	PUNCT
ejpam-6225	355	1	hence	hence	ADV
ejpam-6225	355	2	,	,	PUNCT
ejpam-6225	355	3	we	we	PRON
ejpam-6225	355	4	obtain	obtain	VERB
ejpam-6225	355	5	sr	sr	PROPN
ejpam-6225	355	6	l	l	PROPN
ejpam-6225	355	7	β−(=	β−(=	PROPN
ejpam-6225	355	8	∪	∪	ADP
ejpam-6225	355	9	ϑ	ϑ	NOUN
ejpam-6225	355	10	)	)	PUNCT
ejpam-6225	355	11	⊆	⊆	NUM
ejpam-6225	355	12	sr	sr	PROPN
ejpam-6225	355	13	l	l	PROPN
ejpam-6225	355	14	β−(=	β−(=	PROPN
ejpam-6225	355	15	)	)	PUNCT
ejpam-6225	355	16	∩	∩	ADJ
ejpam-6225	355	17	sr	sr	PROPN
ejpam-6225	355	18	l	l	PROPN
ejpam-6225	355	19	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	355	20	)	)	PUNCT
ejpam-6225	355	21	.	.	PUNCT
ejpam-6225	356	1	(	(	PUNCT
ejpam-6225	356	2	5	5	NUM
ejpam-6225	356	3	)	)	PUNCT
ejpam-6225	356	4	by	by	ADP
ejpam-6225	356	5	definition	definition	NOUN
ejpam-6225	356	6	3.1	3.1	NUM
ejpam-6225	356	7	,	,	PUNCT
ejpam-6225	356	8	it	it	PRON
ejpam-6225	356	9	follows	follow	VERB
ejpam-6225	356	10	that	that	SCONJ
ejpam-6225	356	11	srl	srl	PROPN
ejpam-6225	356	12	β−(=	β−(=	PROPN
ejpam-6225	356	13	∩	∩	PROPN
ejpam-6225	356	14	ϑ	ϑ	X
ejpam-6225	356	15	)	)	PUNCT
ejpam-6225	356	16	=	=	SYM
ejpam-6225	356	17	(	(	PUNCT
ejpam-6225	356	18	sr	sr	PROPN
ejpam-6225	356	19	l	l	PROPN
ejpam-6225	356	20	β−(=	β−(=	PROPN
ejpam-6225	356	21	∩	∩	NOUN
ejpam-6225	356	22	ϑ)c	ϑ)c	NOUN
ejpam-6225	356	23	)	)	PUNCT
ejpam-6225	357	1	c	c	X
ejpam-6225	357	2	=	=	PRON
ejpam-6225	357	3	(	(	PUNCT
ejpam-6225	357	4	sr	sr	PROPN
ejpam-6225	357	5	l	l	NOUN
ejpam-6225	357	6	β−	β−	PUNCT
ejpam-6225	358	1	(=	(=	X
ejpam-6225	358	2	c	c	NOUN
ejpam-6225	358	3	∪	∪	ADP
ejpam-6225	358	4	ϑc	ϑc	PROPN
ejpam-6225	358	5	)	)	PUNCT
ejpam-6225	358	6	)	)	PUNCT
ejpam-6225	359	1	c	c	PROPN
ejpam-6225	359	2	⊇	⊇	X
ejpam-6225	359	3	(	(	PUNCT
ejpam-6225	359	4	sr	sr	PROPN
ejpam-6225	359	5	l	l	NOUN
ejpam-6225	359	6	β−	β−	PUNCT
ejpam-6225	359	7	(=	(=	PUNCT
ejpam-6225	359	8	c	c	X
ejpam-6225	359	9	)	)	PUNCT
ejpam-6225	359	10	∩	∩	X
ejpam-6225	359	11	sr	sr	PROPN
ejpam-6225	359	12	l	l	PROPN
ejpam-6225	359	13	β−	β−	PROPN
ejpam-6225	359	14	(	(	PUNCT
ejpam-6225	359	15	ϑc	ϑc	NOUN
ejpam-6225	359	16	)	)	PUNCT
ejpam-6225	359	17	)	)	PUNCT
ejpam-6225	360	1	c	c	X
ejpam-6225	360	2	=	=	PRON
ejpam-6225	360	3	(	(	PUNCT
ejpam-6225	360	4	sr	sr	PROPN
ejpam-6225	360	5	l	l	NOUN
ejpam-6225	360	6	β−	β−	PUNCT
ejpam-6225	361	1	(=	(=	ADJ
ejpam-6225	361	2	c	c	NOUN
ejpam-6225	361	3	)	)	PUNCT
ejpam-6225	361	4	)	)	PUNCT
ejpam-6225	362	1	c	c	NOUN
ejpam-6225	362	2	∪	∪	X
ejpam-6225	362	3	(	(	PUNCT
ejpam-6225	362	4	sr	sr	PROPN
ejpam-6225	362	5	l	l	NOUN
ejpam-6225	362	6	β−	β−	PROPN
ejpam-6225	362	7	(	(	PUNCT
ejpam-6225	362	8	ϑc	ϑc	NOUN
ejpam-6225	362	9	)	)	PUNCT
ejpam-6225	362	10	)	)	PUNCT
ejpam-6225	363	1	c	c	X
ejpam-6225	363	2	=	=	SYM
ejpam-6225	363	3	srl	srl	PROPN
ejpam-6225	363	4	β−(=	β−(=	PROPN
ejpam-6225	363	5	)	)	PUNCT
ejpam-6225	363	6	∪	∪	ADP
ejpam-6225	363	7	sr	sr	PROPN
ejpam-6225	363	8	l	l	PROPN
ejpam-6225	363	9	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	363	10	)	)	PUNCT
ejpam-6225	363	11	(	(	PUNCT
ejpam-6225	363	12	6	6	NUM
ejpam-6225	363	13	)	)	PUNCT
ejpam-6225	363	14	by	by	ADP
ejpam-6225	363	15	definition	definition	NOUN
ejpam-6225	363	16	3.1	3.1	NUM
ejpam-6225	363	17	it	it	PRON
ejpam-6225	363	18	follows	follow	VERB
ejpam-6225	363	19	that	that	SCONJ
ejpam-6225	363	20	srl	srl	PROPN
ejpam-6225	363	21	β−(=	β−(=	PROPN
ejpam-6225	363	22	∪	∪	ADP
ejpam-6225	363	23	ϑ	ϑ	NOUN
ejpam-6225	363	24	)	)	PUNCT
ejpam-6225	363	25	=	=	SYM
ejpam-6225	363	26	(	(	PUNCT
ejpam-6225	363	27	sr	sr	PROPN
ejpam-6225	363	28	l	l	PROPN
ejpam-6225	363	29	β−(=	β−(=	PROPN
ejpam-6225	363	30	∪	∪	ADP
ejpam-6225	363	31	ϑ)c	ϑ)c	NOUN
ejpam-6225	363	32	)	)	PUNCT
ejpam-6225	363	33	c	c	NOUN
ejpam-6225	364	1	=	=	PRON
ejpam-6225	364	2	(	(	PUNCT
ejpam-6225	364	3	sr	sr	PROPN
ejpam-6225	364	4	l	l	NOUN
ejpam-6225	364	5	β−	β−	PUNCT
ejpam-6225	365	1	(=	(=	NOUN
ejpam-6225	365	2	c	c	NOUN
ejpam-6225	365	3	∩	∩	X
ejpam-6225	365	4	ϑc	ϑc	NOUN
ejpam-6225	365	5	)	)	PUNCT
ejpam-6225	365	6	)	)	PUNCT
ejpam-6225	366	1	c	c	NOUN
ejpam-6225	366	2	⊆	⊆	NUM
ejpam-6225	366	3	(	(	PUNCT
ejpam-6225	366	4	sr	sr	PROPN
ejpam-6225	366	5	l	l	NOUN
ejpam-6225	366	6	β−	β−	PUNCT
ejpam-6225	367	1	(=	(=	PUNCT
ejpam-6225	367	2	c	c	X
ejpam-6225	367	3	)	)	PUNCT
ejpam-6225	367	4	∪	∪	ADP
ejpam-6225	367	5	sr	sr	PROPN
ejpam-6225	367	6	l	l	PROPN
ejpam-6225	367	7	β−	β−	PROPN
ejpam-6225	367	8	(	(	PUNCT
ejpam-6225	367	9	ϑc	ϑc	NOUN
ejpam-6225	367	10	)	)	PUNCT
ejpam-6225	367	11	)	)	PUNCT
ejpam-6225	368	1	c	c	X
ejpam-6225	368	2	=	=	PRON
ejpam-6225	368	3	(	(	PUNCT
ejpam-6225	368	4	sr	sr	PROPN
ejpam-6225	368	5	l	l	NOUN
ejpam-6225	368	6	β−	β−	PUNCT
ejpam-6225	369	1	(=	(=	ADJ
ejpam-6225	369	2	c	c	NOUN
ejpam-6225	369	3	)	)	PUNCT
ejpam-6225	369	4	)	)	PUNCT
ejpam-6225	370	1	c	c	NOUN
ejpam-6225	370	2	∩	∩	NOUN
ejpam-6225	370	3	(	(	PUNCT
ejpam-6225	370	4	sr	sr	PROPN
ejpam-6225	370	5	l	l	NOUN
ejpam-6225	370	6	β−	β−	PROPN
ejpam-6225	370	7	(	(	PUNCT
ejpam-6225	370	8	ϑc	ϑc	NOUN
ejpam-6225	370	9	)	)	PUNCT
ejpam-6225	370	10	)	)	PUNCT
ejpam-6225	371	1	c	c	X
ejpam-6225	371	2	=	=	SYM
ejpam-6225	371	3	srl	srl	PROPN
ejpam-6225	371	4	β−(=	β−(=	NOUN
ejpam-6225	371	5	)	)	PUNCT
ejpam-6225	371	6	∩	∩	NOUN
ejpam-6225	371	7	srl	srl	PROPN
ejpam-6225	371	8	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	371	9	)	)	PUNCT
ejpam-6225	371	10	.	.	PUNCT
ejpam-6225	372	1	hence	hence	ADV
ejpam-6225	372	2	,	,	PUNCT
ejpam-6225	372	3	srl	srl	PROPN
ejpam-6225	372	4	β−(=	β−(=	PROPN
ejpam-6225	372	5	∪	∪	ADP
ejpam-6225	372	6	ϑ	ϑ	NOUN
ejpam-6225	372	7	)	)	PUNCT
ejpam-6225	372	8	⊆	⊆	NUM
ejpam-6225	372	9	srl	srl	PROPN
ejpam-6225	372	10	β−(=	β−(=	NOUN
ejpam-6225	372	11	)	)	PUNCT
ejpam-6225	372	12	∩	∩	NOUN
ejpam-6225	372	13	srl	srl	PROPN
ejpam-6225	372	14	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	372	15	)	)	PUNCT
ejpam-6225	372	16	.	.	PUNCT
ejpam-6225	373	1	(	(	PUNCT
ejpam-6225	373	2	7	7	X
ejpam-6225	373	3	)	)	PUNCT
ejpam-6225	373	4	by	by	ADP
ejpam-6225	373	5	definition	definition	NOUN
ejpam-6225	373	6	of	of	ADP
ejpam-6225	373	7	ideal	ideal	ADJ
ejpam-6225	373	8	soft	soft	ADJ
ejpam-6225	373	9	βl	βl	ADP
ejpam-6225	373	10	-lower	-lower	NOUN
ejpam-6225	373	11	na	na	NOUN
ejpam-6225	373	12	of	of	ADP
ejpam-6225	373	13	=	=	PRON
ejpam-6225	373	14	,	,	PUNCT
ejpam-6225	373	15	we	we	PRON
ejpam-6225	373	16	have	have	VERB
ejpam-6225	373	17	srl	srl	PROPN
ejpam-6225	373	18	β−(=	β−(=	NOUN
ejpam-6225	373	19	)	)	PUNCT
ejpam-6225	373	20	=	=	PRON
ejpam-6225	373	21	(	(	PUNCT
ejpam-6225	374	1	sr	sr	PROPN
ejpam-6225	374	2	l	l	NOUN
ejpam-6225	374	3	β−	β−	PUNCT
ejpam-6225	375	1	(=	(=	ADJ
ejpam-6225	375	2	c	c	NOUN
ejpam-6225	375	3	)	)	PUNCT
ejpam-6225	375	4	)	)	PUNCT
ejpam-6225	376	1	c	c	X
ejpam-6225	376	2	.	.	PUNCT
ejpam-6225	377	1	this	this	PRON
ejpam-6225	377	2	indicates	indicate	VERB
ejpam-6225	377	3	that	that	SCONJ
ejpam-6225	377	4	sr	sr	PROPN
ejpam-6225	377	5	l	l	NOUN
ejpam-6225	377	6	β−	β−	PUNCT
ejpam-6225	378	1	(=	(=	PUNCT
ejpam-6225	378	2	c	c	X
ejpam-6225	378	3	)	)	PUNCT
ejpam-6225	379	1	=	=	SYM
ejpam-6225	379	2	(	(	PUNCT
ejpam-6225	379	3	srl	srl	PROPN
ejpam-6225	379	4	β−(=	β−(=	PROPN
ejpam-6225	379	5	)	)	PUNCT
ejpam-6225	379	6	)	)	PUNCT
ejpam-6225	380	1	c	c	X
ejpam-6225	380	2	.	.	PUNCT
ejpam-6225	381	1	this	this	PRON
ejpam-6225	381	2	completes	complete	VERB
ejpam-6225	381	3	this	this	DET
ejpam-6225	381	4	proof	proof	NOUN
ejpam-6225	381	5	.	.	PUNCT
ejpam-6225	382	1	remark	remark	VERB
ejpam-6225	382	2	3.4	3.4	NUM
ejpam-6225	382	3	.	.	PUNCT
ejpam-6225	383	1	let	let	VERB
ejpam-6225	383	2	b	b	NOUN
ejpam-6225	383	3	=	=	SYM
ejpam-6225	383	4	(	(	PUNCT
ejpam-6225	383	5	f	f	X
ejpam-6225	383	6	,	,	PUNCT
ejpam-6225	383	7	g	g	NOUN
ejpam-6225	383	8	:	:	PUNCT
ejpam-6225	383	9	℘	℘	PROPN
ejpam-6225	383	10	)	)	PUNCT
ejpam-6225	383	11	∈	∈	PROPN
ejpam-6225	383	12	bssq	bssq	NOUN
ejpam-6225	383	13	and	and	CCONJ
ejpam-6225	383	14	βl	βl	NOUN
ejpam-6225	383	15	=	=	PUNCT
ejpam-6225	383	16	(	(	PUNCT
ejpam-6225	383	17	q	q	ADJ
ejpam-6225	383	18	,	,	PUNCT
ejpam-6225	383	19	(	(	PUNCT
ejpam-6225	383	20	f	f	X
ejpam-6225	383	21	,	,	PUNCT
ejpam-6225	383	22	g	g	NOUN
ejpam-6225	383	23	:	:	PUNCT
ejpam-6225	383	24	℘	℘	NUM
ejpam-6225	383	25	)	)	PUNCT
ejpam-6225	383	26	,	,	PUNCT
ejpam-6225	383	27	l	l	NOUN
ejpam-6225	383	28	)	)	PUNCT
ejpam-6225	383	29	be	be	AUX
ejpam-6225	383	30	ibsa	ibsa	NOUN
ejpam-6225	383	31	-	-	NOUN
ejpam-6225	383	32	space	space	NOUN
ejpam-6225	383	33	.	.	PUNCT
ejpam-6225	384	1	for	for	ADP
ejpam-6225	384	2	=	=	SYM
ejpam-6225	384	3	,	,	PUNCT
ejpam-6225	384	4	ϑ	ϑ	X
ejpam-6225	384	5	⊆	⊆	NUM
ejpam-6225	384	6	q	q	NOUN
ejpam-6225	384	7	,	,	PUNCT
ejpam-6225	384	8	the	the	DET
ejpam-6225	384	9	following	follow	VERB
ejpam-6225	384	10	example	example	NOUN
ejpam-6225	384	11	indicates	indicate	VERB
ejpam-6225	384	12	that	that	SCONJ
ejpam-6225	384	13	in	in	ADP
ejpam-6225	384	14	general	general	ADJ
ejpam-6225	384	15	:	:	PUNCT
ejpam-6225	384	16	(	(	PUNCT
ejpam-6225	384	17	1	1	X
ejpam-6225	384	18	)	)	PUNCT
ejpam-6225	384	19	srl	srl	PROPN
ejpam-6225	384	20	β−(q	β−(q	NOUN
ejpam-6225	384	21	)	)	PUNCT
ejpam-6225	384	22	6=	6=	ADP
ejpam-6225	384	23	q	q	PROPN
ejpam-6225	384	24	and	and	CCONJ
ejpam-6225	384	25	sr	sr	PROPN
ejpam-6225	384	26	l	l	PROPN
ejpam-6225	384	27	β−(∅	β−(∅	PROPN
ejpam-6225	384	28	)	)	PUNCT
ejpam-6225	384	29	6=	6=	ADP
ejpam-6225	384	30	∅.	∅.	PROPN
ejpam-6225	384	31	(	(	PUNCT
ejpam-6225	384	32	2	2	NUM
ejpam-6225	384	33	)	)	PUNCT
ejpam-6225	384	34	srl	srl	PROPN
ejpam-6225	384	35	β−(∅	β−(∅	NUM
ejpam-6225	384	36	)	)	PUNCT
ejpam-6225	384	37	6=	6=	ADP
ejpam-6225	384	38	∅	∅	NOUN
ejpam-6225	384	39	and	and	CCONJ
ejpam-6225	384	40	sr	sr	PROPN
ejpam-6225	384	41	l	l	PROPN
ejpam-6225	384	42	β−(q	β−(q	PROPN
ejpam-6225	384	43	)	)	PUNCT
ejpam-6225	384	44	6=	6=	ADP
ejpam-6225	384	45	q.	q.	PROPN
ejpam-6225	384	46	(	(	PUNCT
ejpam-6225	384	47	3	3	X
ejpam-6225	384	48	)	)	PUNCT
ejpam-6225	384	49	sr	sr	PROPN
ejpam-6225	384	50	l	l	PROPN
ejpam-6225	384	51	β−(=	β−(=	PROPN
ejpam-6225	384	52	∩	∩	PROPN
ejpam-6225	384	53	ϑ	ϑ	X
ejpam-6225	384	54	)	)	PUNCT
ejpam-6225	384	55	*	*	PUNCT
ejpam-6225	384	56	sr	sr	PROPN
ejpam-6225	384	57	l	l	PROPN
ejpam-6225	384	58	β−(=	β−(=	PROPN
ejpam-6225	384	59	)	)	PUNCT
ejpam-6225	384	60	∪	∪	ADP
ejpam-6225	384	61	sr	sr	PROPN
ejpam-6225	384	62	l	l	PROPN
ejpam-6225	384	63	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	384	64	)	)	PUNCT
ejpam-6225	384	65	.	.	PUNCT
ejpam-6225	385	1	(	(	PUNCT
ejpam-6225	385	2	4	4	X
ejpam-6225	385	3	)	)	PUNCT
ejpam-6225	385	4	sr	sr	PROPN
ejpam-6225	385	5	l	l	PROPN
ejpam-6225	385	6	β−(=	β−(=	PROPN
ejpam-6225	385	7	∪	∪	ADP
ejpam-6225	385	8	ϑ	ϑ	NOUN
ejpam-6225	385	9	)	)	PUNCT
ejpam-6225	385	10	+	+	CCONJ
ejpam-6225	385	11	sr	sr	PROPN
ejpam-6225	385	12	l	l	PROPN
ejpam-6225	385	13	β−(=	β−(=	PROPN
ejpam-6225	385	14	)	)	PUNCT
ejpam-6225	385	15	∩	∩	ADJ
ejpam-6225	385	16	sr	sr	PROPN
ejpam-6225	385	17	l	l	PROPN
ejpam-6225	385	18	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	385	19	)	)	PUNCT
ejpam-6225	385	20	.	.	PUNCT
ejpam-6225	386	1	(	(	PUNCT
ejpam-6225	386	2	5	5	X
ejpam-6225	386	3	)	)	PUNCT
ejpam-6225	386	4	srl	srl	PROPN
ejpam-6225	386	5	β−(=	β−(=	PROPN
ejpam-6225	386	6	∩	∩	PROPN
ejpam-6225	386	7	ϑ	ϑ	X
ejpam-6225	386	8	)	)	PUNCT
ejpam-6225	386	9	*	*	PUNCT
ejpam-6225	386	10	srl	srl	PROPN
ejpam-6225	386	11	β−(=	β−(=	PROPN
ejpam-6225	386	12	)	)	PUNCT
ejpam-6225	386	13	∪	∪	ADP
ejpam-6225	386	14	srl	srl	PROPN
ejpam-6225	386	15	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	386	16	)	)	PUNCT
ejpam-6225	386	17	,	,	PUNCT
ejpam-6225	386	18	(	(	PUNCT
ejpam-6225	386	19	6	6	X
ejpam-6225	386	20	)	)	PUNCT
ejpam-6225	386	21	srl	srl	PROPN
ejpam-6225	386	22	β−(=	β−(=	PROPN
ejpam-6225	386	23	∪	∪	PROPN
ejpam-6225	386	24	ϑ	ϑ	NOUN
ejpam-6225	386	25	)	)	PUNCT
ejpam-6225	386	26	+	+	CCONJ
ejpam-6225	386	27	srl	srl	PROPN
ejpam-6225	386	28	β−(=	β−(=	NOUN
ejpam-6225	386	29	)	)	PUNCT
ejpam-6225	386	30	∩	∩	NOUN
ejpam-6225	386	31	srl	srl	PROPN
ejpam-6225	386	32	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	386	33	)	)	PUNCT
ejpam-6225	386	34	.	.	PUNCT
ejpam-6225	387	1	d.	d.	PROPN
ejpam-6225	387	2	shi	shi	PROPN
ejpam-6225	387	3	et	et	PROPN
ejpam-6225	387	4	al	al	PROPN
ejpam-6225	387	5	.	.	PUNCT
ejpam-6225	387	6	/	/	SYM
ejpam-6225	387	7	eur	eur	PROPN
ejpam-6225	387	8	.	.	PUNCT
ejpam-6225	388	1	j.	j.	PROPN
ejpam-6225	388	2	pure	pure	PROPN
ejpam-6225	388	3	appl	appl	PROPN
ejpam-6225	388	4	.	.	PROPN
ejpam-6225	388	5	math	math	PROPN
ejpam-6225	388	6	,	,	PUNCT
ejpam-6225	388	7	18	18	NUM
ejpam-6225	388	8	(	(	PUNCT
ejpam-6225	388	9	4	4	NUM
ejpam-6225	388	10	)	)	PUNCT
ejpam-6225	388	11	(	(	PUNCT
ejpam-6225	388	12	2025	2025	NUM
ejpam-6225	388	13	)	)	PUNCT
ejpam-6225	388	14	,	,	PUNCT
ejpam-6225	388	15	6225	6225	NUM
ejpam-6225	388	16	11	11	NUM
ejpam-6225	388	17	of	of	ADP
ejpam-6225	388	18	36	36	NUM
ejpam-6225	388	19	example	example	NOUN
ejpam-6225	388	20	3.3	3.3	NUM
ejpam-6225	388	21	.	.	PUNCT
ejpam-6225	389	1	let	let	VERB
ejpam-6225	389	2	(	(	PUNCT
ejpam-6225	389	3	f	f	X
ejpam-6225	389	4	,	,	PUNCT
ejpam-6225	389	5	g	g	NOUN
ejpam-6225	389	6	:	:	PUNCT
ejpam-6225	389	7	℘	℘	PROPN
ejpam-6225	389	8	)	)	PUNCT
ejpam-6225	389	9	∈	∈	PROPN
ejpam-6225	389	10	bssq	bssq	NOUN
ejpam-6225	389	11	with	with	ADP
ejpam-6225	389	12	q	q	NOUN
ejpam-6225	389	13	=	=	SYM
ejpam-6225	389	14	1ג	1ג	NUM
ejpam-6225	389	15	}	}	PUNCT
ejpam-6225	389	16	,	,	PUNCT
ejpam-6225	389	17	,	,	PUNCT
ejpam-6225	389	18	2ג	2ג	NUM
ejpam-6225	389	19	,	,	PUNCT
ejpam-6225	389	20	3ג	3ג	NUM
ejpam-6225	389	21	,	,	PUNCT
ejpam-6225	389	22	4ג	4ג	NOUN
ejpam-6225	389	23	,	,	PUNCT
ejpam-6225	389	24	5ג	5ג	NOUN
ejpam-6225	389	25	{	{	PUNCT
ejpam-6225	389	26	6ג	6ג	NOUN
ejpam-6225	389	27	and	and	CCONJ
ejpam-6225	389	28	℘	℘	PROPN
ejpam-6225	389	29	=	=	SYM
ejpam-6225	389	30	{	{	PUNCT
ejpam-6225	389	31	ς1	ς1	NOUN
ejpam-6225	389	32	,	,	PUNCT
ejpam-6225	389	33	ς2	ς2	PROPN
ejpam-6225	389	34	,	,	PUNCT
ejpam-6225	389	35	ς3	ς3	NOUN
ejpam-6225	389	36	,	,	PUNCT
ejpam-6225	389	37	ς4	ς4	PROPN
ejpam-6225	389	38	,	,	PUNCT
ejpam-6225	389	39	ς5	ς5	NOUN
ejpam-6225	389	40	,	,	PUNCT
ejpam-6225	389	41	ς6	ς6	NOUN
ejpam-6225	389	42	}	}	PUNCT
ejpam-6225	389	43	.	.	PUNCT
ejpam-6225	390	1	the	the	DET
ejpam-6225	390	2	maps	maps	PROPN
ejpam-6225	390	3	f	f	PROPN
ejpam-6225	390	4	and	and	CCONJ
ejpam-6225	390	5	g	g	PROPN
ejpam-6225	390	6	are	be	AUX
ejpam-6225	390	7	as	as	ADV
ejpam-6225	390	8	follow	follow	VERB
ejpam-6225	390	9	:	:	PUNCT
ejpam-6225	390	10	f	f	X
ejpam-6225	390	11	:	:	PUNCT
ejpam-6225	390	12	℘	℘	VERB
ejpam-6225	390	13	−→	−→	NOUN
ejpam-6225	390	14	2q	2q	NOUN
ejpam-6225	390	15	,	,	PUNCT
ejpam-6225	390	16	ς	ς	PROPN
ejpam-6225	390	17	7→	7→	NUM
ejpam-6225	390	18			NUM
ejpam-6225	390	19	,	,	PUNCT
ejpam-6225	390	20	1ג	1ג	NUM
ejpam-6225	390	21	}	}	PUNCT
ejpam-6225	390	22	,	,	PUNCT
ejpam-6225	390	23	2ג	2ג	NUM
ejpam-6225	390	24	{	{	PUNCT
ejpam-6225	390	25	3ג	3ג	NUM
ejpam-6225	390	26	,	,	PUNCT
ejpam-6225	390	27	if	if	SCONJ
ejpam-6225	390	28	ς	ς	PROPN
ejpam-6225	390	29	=	=	PUNCT
ejpam-6225	390	30	ς1	ς1	NOUN
ejpam-6225	390	31	,	,	PUNCT
ejpam-6225	390	32	,	,	PUNCT
ejpam-6225	390	33	1ג	1ג	NUM
ejpam-6225	390	34	}	}	PUNCT
ejpam-6225	390	35	{	{	PUNCT
ejpam-6225	390	36	4ג	4ג	NOUN
ejpam-6225	390	37	,	,	PUNCT
ejpam-6225	390	38	if	if	SCONJ
ejpam-6225	390	39	ς	ς	PROPN
ejpam-6225	390	40	=	=	SYM
ejpam-6225	390	41	ς2	ς2	PROPN
ejpam-6225	390	42	,	,	PUNCT
ejpam-6225	390	43	,	,	PUNCT
ejpam-6225	390	44	1ג	1ג	NUM
ejpam-6225	390	45	}	}	PUNCT
ejpam-6225	390	46	{	{	PUNCT
ejpam-6225	390	47	3ג	3ג	NUM
ejpam-6225	390	48	,	,	PUNCT
ejpam-6225	390	49	if	if	SCONJ
ejpam-6225	390	50	ς	ς	PROPN
ejpam-6225	390	51	=	=	SYM
ejpam-6225	390	52	ς3	ς3	PROPN
ejpam-6225	390	53	,	,	PUNCT
ejpam-6225	390	54	,	,	PUNCT
ejpam-6225	390	55	3ג	3ג	NOUN
ejpam-6225	390	56	}	}	PUNCT
ejpam-6225	390	57	,	,	PUNCT
ejpam-6225	390	58	5ג	5ג	NOUN
ejpam-6225	390	59	{	{	PUNCT
ejpam-6225	390	60	6ג	6ג	NUM
ejpam-6225	390	61	,	,	PUNCT
ejpam-6225	390	62	if	if	SCONJ
ejpam-6225	390	63	ς	ς	PROPN
ejpam-6225	390	64	=	=	PROPN
ejpam-6225	390	65	ς4	ς4	PROPN
ejpam-6225	390	66	,	,	PUNCT
ejpam-6225	390	67	,	,	PUNCT
ejpam-6225	390	68	2ג	2ג	NUM
ejpam-6225	390	69	}	}	PUNCT
ejpam-6225	390	70	{	{	PUNCT
ejpam-6225	390	71	4ג	4ג	NOUN
ejpam-6225	390	72	,	,	PUNCT
ejpam-6225	390	73	if	if	SCONJ
ejpam-6225	390	74	ς	ς	PROPN
ejpam-6225	390	75	=	=	SYM
ejpam-6225	390	76	ς5	ς5	PROPN
ejpam-6225	390	77	,	,	PUNCT
ejpam-6225	390	78	,	,	PUNCT
ejpam-6225	390	79	1ג	1ג	NOUN
ejpam-6225	390	80	}	}	PUNCT
ejpam-6225	390	81	,	,	PUNCT
ejpam-6225	390	82	2ג	2ג	NOUN
ejpam-6225	390	83	{	{	PUNCT
ejpam-6225	390	84	5ג	5ג	NOUN
ejpam-6225	390	85	,	,	PUNCT
ejpam-6225	390	86	if	if	SCONJ
ejpam-6225	390	87	ς	ς	PROPN
ejpam-6225	390	88	=	=	SYM
ejpam-6225	390	89	ς6	ς6	PROPN
ejpam-6225	390	90	,	,	PUNCT
ejpam-6225	390	91	and	and	CCONJ
ejpam-6225	390	92	g	g	NOUN
ejpam-6225	390	93	:	:	PUNCT
ejpam-6225	390	94	ℵ	ℵ	X
ejpam-6225	390	95	−→	−→	NOUN
ejpam-6225	390	96	2q	2q	NOUN
ejpam-6225	390	97	,	,	PUNCT
ejpam-6225	390	98	¬ς	¬ς	NOUN
ejpam-6225	390	99	7→	7→	NUM
ejpam-6225	390	100			NUM
ejpam-6225	390	101	,	,	PUNCT
ejpam-6225	390	102	4ג	4ג	NOUN
ejpam-6225	390	103	}	}	PUNCT
ejpam-6225	390	104	{	{	PUNCT
ejpam-6225	390	105	5ג	5ג	NOUN
ejpam-6225	390	106	,	,	PUNCT
ejpam-6225	390	107	if	if	SCONJ
ejpam-6225	390	108	¬ς	¬ς	NOUN
ejpam-6225	390	109	=	=	SYM
ejpam-6225	390	110	¬ς1	¬ς1	ADV
ejpam-6225	390	111	,	,	PUNCT
ejpam-6225	390	112	{	{	PUNCT
ejpam-6225	390	113	5ג	5ג	NOUN
ejpam-6225	390	114	}	}	PUNCT
ejpam-6225	390	115	,	,	PUNCT
ejpam-6225	390	116	if	if	SCONJ
ejpam-6225	390	117	¬ς	¬ς	NOUN
ejpam-6225	390	118	=	=	SYM
ejpam-6225	390	119	¬ς2	¬ς2	NOUN
ejpam-6225	390	120	,	,	PUNCT
ejpam-6225	390	121	,	,	PUNCT
ejpam-6225	390	122	2ג	2ג	NUM
ejpam-6225	390	123	}	}	PUNCT
ejpam-6225	390	124	{	{	PUNCT
ejpam-6225	390	125	6ג	6ג	NUM
ejpam-6225	390	126	,	,	PUNCT
ejpam-6225	390	127	if	if	SCONJ
ejpam-6225	390	128	¬ς	¬ς	NOUN
ejpam-6225	390	129	=	=	SYM
ejpam-6225	390	130	¬ς3	¬ς3	NOUN
ejpam-6225	390	131	,	,	PUNCT
ejpam-6225	390	132	{	{	PUNCT
ejpam-6225	390	133	4ג	4ג	NOUN
ejpam-6225	390	134	}	}	PUNCT
ejpam-6225	390	135	,	,	PUNCT
ejpam-6225	390	136	if	if	SCONJ
ejpam-6225	390	137	¬ς	¬ς	NOUN
ejpam-6225	390	138	=	=	SYM
ejpam-6225	390	139	¬ς4	¬ς4	NOUN
ejpam-6225	390	140	,	,	PUNCT
ejpam-6225	390	141	,	,	PUNCT
ejpam-6225	390	142	3ג	3ג	NOUN
ejpam-6225	390	143	}	}	PUNCT
ejpam-6225	390	144	{	{	PUNCT
ejpam-6225	390	145	6ג	6ג	NUM
ejpam-6225	390	146	,	,	PUNCT
ejpam-6225	390	147	if	if	SCONJ
ejpam-6225	390	148	¬ς	¬ς	NOUN
ejpam-6225	390	149	=	=	NOUN
ejpam-6225	390	150	¬ς5	¬ς5	NOUN
ejpam-6225	390	151	,	,	PUNCT
ejpam-6225	390	152	,	,	PUNCT
ejpam-6225	390	153	3ג	3ג	NOUN
ejpam-6225	390	154	}	}	PUNCT
ejpam-6225	390	155	,	,	PUNCT
ejpam-6225	390	156	4ג	4ג	NOUN
ejpam-6225	390	157	{	{	PUNCT
ejpam-6225	390	158	6ג	6ג	NUM
ejpam-6225	390	159	,	,	PUNCT
ejpam-6225	390	160	if	if	SCONJ
ejpam-6225	390	161	¬ς	¬ς	NOUN
ejpam-6225	390	162	=	=	SYM
ejpam-6225	390	163	¬ς6	¬ς6	NOUN
ejpam-6225	390	164	.	.	PUNCT
ejpam-6225	391	1	consider	consider	VERB
ejpam-6225	391	2	an	an	DET
ejpam-6225	391	3	ideal	ideal	ADJ
ejpam-6225	391	4	l	l	NOUN
ejpam-6225	391	5	on	on	ADP
ejpam-6225	391	6	q	q	NOUN
ejpam-6225	391	7	as	as	ADP
ejpam-6225	391	8	l	l	NOUN
ejpam-6225	391	9	=	=	SYM
ejpam-6225	391	10	{	{	PUNCT
ejpam-6225	391	11	∅	∅	NOUN
ejpam-6225	391	12	,	,	PUNCT
ejpam-6225	391	13	,	,	PUNCT
ejpam-6225	391	14	{	{	PUNCT
ejpam-6225	391	15	1ג	1ג	NOUN
ejpam-6225	391	16	}	}	PUNCT
ejpam-6225	391	17	,	,	PUNCT
ejpam-6225	391	18	{	{	PUNCT
ejpam-6225	391	19	3ג	3ג	NOUN
ejpam-6225	391	20	}	}	PUNCT
ejpam-6225	391	21	,	,	PUNCT
ejpam-6225	391	22	1ג	1ג	NOUN
ejpam-6225	391	23	}	}	PUNCT
ejpam-6225	391	24	.{{3ג	.{{3ג	VERB
ejpam-6225	392	1	(	(	PUNCT
ejpam-6225	392	2	1	1	X
ejpam-6225	392	3	)	)	PUNCT
ejpam-6225	392	4	sr	sr	NOUN
ejpam-6225	392	5	l	l	NOUN
ejpam-6225	392	6	β−(∅	β−(∅	PUNCT
ejpam-6225	392	7	)	)	PUNCT
ejpam-6225	393	1	=	=	SYM
ejpam-6225	393	2	⋃	⋃	NOUN
ejpam-6225	393	3	{	{	PUNCT
ejpam-6225	393	4	g(¬ς	g(¬ς	NOUN
ejpam-6225	393	5	)	)	PUNCT
ejpam-6225	393	6	,	,	PUNCT
ejpam-6225	393	7	¬ς	¬ς	NOUN
ejpam-6225	393	8	∈	∈	PROPN
ejpam-6225	393	9	ℵ	ℵ	NOUN
ejpam-6225	393	10	:	:	PUNCT
ejpam-6225	393	11	g(¬ς	g(¬ς	NOUN
ejpam-6225	393	12	)	)	PUNCT
ejpam-6225	393	13	∩	∩	NOUN
ejpam-6225	393	14	∅	∅	ADP
ejpam-6225	393	15	∈	∈	NOUN
ejpam-6225	393	16	l	l	NOUN
ejpam-6225	393	17	}	}	PUNCT
ejpam-6225	393	18	=	=	SYM
ejpam-6225	393	19	,	,	PUNCT
ejpam-6225	393	20	2ג	2ג	NUM
ejpam-6225	393	21	}	}	PUNCT
ejpam-6225	393	22	,	,	PUNCT
ejpam-6225	393	23	3ג	3ג	NUM
ejpam-6225	393	24	,	,	PUNCT
ejpam-6225	393	25	4ג	4ג	NOUN
ejpam-6225	393	26	,	,	PUNCT
ejpam-6225	393	27	5ג	5ג	NOUN
ejpam-6225	393	28	{	{	PUNCT
ejpam-6225	393	29	6ג	6ג	NUM
ejpam-6225	393	30	6=	6=	ADP
ejpam-6225	393	31	∅	∅	NOUN
ejpam-6225	393	32	,	,	PUNCT
ejpam-6225	393	33	also	also	ADV
ejpam-6225	393	34	,	,	PUNCT
ejpam-6225	393	35	srl	srl	PROPN
ejpam-6225	393	36	β−(q	β−(q	NOUN
ejpam-6225	393	37	)	)	PUNCT
ejpam-6225	393	38	=	=	PUNCT
ejpam-6225	394	1	[	[	X
ejpam-6225	394	2	sr	sr	X
ejpam-6225	394	3	l	l	NOUN
ejpam-6225	394	4	β−(∅)]c	β−(∅)]c	NOUN
ejpam-6225	394	5	=	=	SYM
ejpam-6225	394	6	{	{	PUNCT
ejpam-6225	394	7	1ג	1ג	NOUN
ejpam-6225	394	8	}	}	PUNCT
ejpam-6225	394	9	6=	6=	NUM
ejpam-6225	394	10	q.	q.	NOUN
ejpam-6225	394	11	(	(	PUNCT
ejpam-6225	394	12	2	2	X
ejpam-6225	394	13	)	)	PUNCT
ejpam-6225	394	14	sr	sr	PROPN
ejpam-6225	394	15	l	l	PROPN
ejpam-6225	394	16	β−(q	β−(q	PROPN
ejpam-6225	394	17	)	)	PUNCT
ejpam-6225	394	18	=	=	SYM
ejpam-6225	394	19	⋃	⋃	NOUN
ejpam-6225	394	20	{	{	PUNCT
ejpam-6225	394	21	g(¬ς	g(¬ς	NOUN
ejpam-6225	394	22	)	)	PUNCT
ejpam-6225	394	23	,	,	PUNCT
ejpam-6225	394	24	¬ς	¬ς	NOUN
ejpam-6225	394	25	∈	∈	PROPN
ejpam-6225	394	26	ℵ	ℵ	NOUN
ejpam-6225	394	27	:	:	PUNCT
ejpam-6225	394	28	g(¬ς	g(¬ς	NOUN
ejpam-6225	394	29	)	)	PUNCT
ejpam-6225	394	30	∩	∩	NOUN
ejpam-6225	394	31	q	q	X
ejpam-6225	394	32	∈	∈	NOUN
ejpam-6225	394	33	l	l	NOUN
ejpam-6225	394	34	}	}	PUNCT
ejpam-6225	394	35	=	=	SYM
ejpam-6225	394	36	∅	∅	NOUN
ejpam-6225	394	37	6=	6=	NUM
ejpam-6225	394	38	q.	q.	NOUN
ejpam-6225	394	39	,	,	PUNCT
ejpam-6225	394	40	also	also	ADV
ejpam-6225	394	41	,	,	PUNCT
ejpam-6225	394	42	srl	srl	PROPN
ejpam-6225	394	43	β−(∅	β−(∅	PUNCT
ejpam-6225	394	44	)	)	PUNCT
ejpam-6225	394	45	=	=	PUNCT
ejpam-6225	395	1	[	[	X
ejpam-6225	395	2	sr	sr	X
ejpam-6225	395	3	l	l	NOUN
ejpam-6225	395	4	β−(=)]c	β−(=)]c	NOUN
ejpam-6225	395	5	=	=	PUNCT
ejpam-6225	395	6	q	q	PUNCT
ejpam-6225	395	7	6=	6=	ADP
ejpam-6225	395	8	∅.	∅.	X
ejpam-6225	395	9	(	(	PUNCT
ejpam-6225	395	10	3	3	NUM
ejpam-6225	395	11	)	)	PUNCT
ejpam-6225	395	12	if	if	SCONJ
ejpam-6225	395	13	we	we	PRON
ejpam-6225	395	14	take	take	VERB
ejpam-6225	395	15	,	,	PUNCT
ejpam-6225	395	16	=	=	PRON
ejpam-6225	395	17	,	,	PUNCT
ejpam-6225	395	18	ϑ	ϑ	X
ejpam-6225	395	19	⊆	⊆	NUM
ejpam-6225	395	20	q	q	NOUN
ejpam-6225	396	1	such	such	ADJ
ejpam-6225	396	2	that	that	SCONJ
ejpam-6225	396	3	=	=	SYM
ejpam-6225	396	4	=	=	PRON
ejpam-6225	396	5	{	{	PUNCT
ejpam-6225	396	6	2ג	2ג	NOUN
ejpam-6225	396	7	}	}	PUNCT
ejpam-6225	396	8	and	and	CCONJ
ejpam-6225	396	9	ϑ	ϑ	X
ejpam-6225	396	10	=	=	SYM
ejpam-6225	396	11	.{6ג	.{6ג	ADJ
ejpam-6225	396	12	}	}	PUNCT
ejpam-6225	396	13	then	then	ADV
ejpam-6225	396	14	,	,	PUNCT
ejpam-6225	396	15	=	=	SYM
ejpam-6225	396	16	∩	∩	X
ejpam-6225	396	17	ϑ	ϑ	X
ejpam-6225	396	18	=	=	X
ejpam-6225	396	19	∅.	∅.	X
ejpam-6225	396	20	by	by	ADP
ejpam-6225	396	21	direct	direct	ADJ
ejpam-6225	396	22	computation	computation	NOUN
ejpam-6225	396	23	,	,	PUNCT
ejpam-6225	396	24	we	we	PRON
ejpam-6225	396	25	obtain	obtain	VERB
ejpam-6225	396	26	sr	sr	PROPN
ejpam-6225	396	27	l	l	PROPN
ejpam-6225	396	28	β−(=	β−(=	PROPN
ejpam-6225	396	29	)	)	PUNCT
ejpam-6225	396	30	=	=	NOUN
ejpam-6225	396	31	,	,	PUNCT
ejpam-6225	396	32	3ג	3ג	NOUN
ejpam-6225	396	33	}	}	PUNCT
ejpam-6225	396	34	,	,	PUNCT
ejpam-6225	396	35	4ג	4ג	NOUN
ejpam-6225	396	36	,	,	PUNCT
ejpam-6225	396	37	5ג	5ג	NOUN
ejpam-6225	396	38	{	{	PUNCT
ejpam-6225	396	39	6ג	6ג	NOUN
ejpam-6225	396	40	and	and	CCONJ
ejpam-6225	396	41	srl	srl	PROPN
ejpam-6225	396	42	β−(=	β−(=	PROPN
ejpam-6225	396	43	)	)	PUNCT
ejpam-6225	396	44	=	=	SYM
ejpam-6225	397	1	q	q	X
ejpam-6225	397	2	,	,	PUNCT
ejpam-6225	397	3	sr	sr	PROPN
ejpam-6225	397	4	l	l	NOUN
ejpam-6225	397	5	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	397	6	)	)	PUNCT
ejpam-6225	397	7	=	=	SYM
ejpam-6225	397	8	,	,	PUNCT
ejpam-6225	397	9	4ג	4ג	NOUN
ejpam-6225	397	10	}	}	PUNCT
ejpam-6225	397	11	{	{	PUNCT
ejpam-6225	397	12	5ג	5ג	NOUN
ejpam-6225	397	13	and	and	CCONJ
ejpam-6225	397	14	srl	srl	PROPN
ejpam-6225	397	15	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	397	16	)	)	PUNCT
ejpam-6225	397	17	=	=	SYM
ejpam-6225	398	1	q	q	X
ejpam-6225	398	2	,	,	PUNCT
ejpam-6225	398	3	sr	sr	PROPN
ejpam-6225	398	4	l	l	PROPN
ejpam-6225	398	5	β−(=	β−(=	PROPN
ejpam-6225	398	6	∩	∩	PROPN
ejpam-6225	398	7	ϑ	ϑ	X
ejpam-6225	398	8	)	)	PUNCT
ejpam-6225	398	9	=	=	SYM
ejpam-6225	398	10	,	,	PUNCT
ejpam-6225	398	11	2ג	2ג	NUM
ejpam-6225	398	12	}	}	PUNCT
ejpam-6225	398	13	,	,	PUNCT
ejpam-6225	398	14	3ג	3ג	NUM
ejpam-6225	398	15	,	,	PUNCT
ejpam-6225	398	16	4ג	4ג	NOUN
ejpam-6225	398	17	,	,	PUNCT
ejpam-6225	398	18	5ג	5ג	NOUN
ejpam-6225	398	19	.{6ג	.{6ג	PROPN
ejpam-6225	399	1	clearly	clearly	ADV
ejpam-6225	399	2	,	,	PUNCT
ejpam-6225	399	3	sr	sr	PROPN
ejpam-6225	399	4	l	l	PROPN
ejpam-6225	399	5	β−(=	β−(=	PROPN
ejpam-6225	399	6	∩	∩	PROPN
ejpam-6225	399	7	ϑ	ϑ	X
ejpam-6225	399	8	)	)	PUNCT
ejpam-6225	399	9	=	=	SYM
ejpam-6225	399	10	,	,	PUNCT
ejpam-6225	399	11	2ג	2ג	NUM
ejpam-6225	399	12	}	}	PUNCT
ejpam-6225	399	13	,	,	PUNCT
ejpam-6225	399	14	3ג	3ג	NUM
ejpam-6225	399	15	,	,	PUNCT
ejpam-6225	399	16	4ג	4ג	NOUN
ejpam-6225	399	17	,	,	PUNCT
ejpam-6225	399	18	5ג	5ג	NOUN
ejpam-6225	399	19	{	{	PUNCT
ejpam-6225	399	20	6ג	6ג	NUM
ejpam-6225	399	21	⊃	⊃	PROPN
ejpam-6225	399	22	,	,	PUNCT
ejpam-6225	399	23	3ג	3ג	NUM
ejpam-6225	399	24	}	}	PUNCT
ejpam-6225	399	25	4ג	4ג	NOUN
ejpam-6225	399	26	,	,	PUNCT
ejpam-6225	399	27	,	,	PUNCT
ejpam-6225	399	28	5ג	5ג	NOUN
ejpam-6225	399	29	{	{	PUNCT
ejpam-6225	399	30	6ג	6ג	NOUN
ejpam-6225	399	31	=	=	SYM
ejpam-6225	399	32	sr	sr	PROPN
ejpam-6225	399	33	l	l	PROPN
ejpam-6225	399	34	β−(=	β−(=	PROPN
ejpam-6225	399	35	)	)	PUNCT
ejpam-6225	399	36	∪	∪	ADP
ejpam-6225	399	37	sr	sr	PROPN
ejpam-6225	399	38	l	l	PROPN
ejpam-6225	399	39	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	399	40	)	)	PUNCT
ejpam-6225	399	41	.	.	PUNCT
ejpam-6225	400	1	so	so	ADV
ejpam-6225	400	2	,	,	PUNCT
ejpam-6225	400	3	sr	sr	PROPN
ejpam-6225	400	4	l	l	PROPN
ejpam-6225	400	5	β−(=	β−(=	PROPN
ejpam-6225	400	6	∩	∩	PROPN
ejpam-6225	400	7	ϑ	ϑ	X
ejpam-6225	400	8	)	)	PUNCT
ejpam-6225	400	9	⊃	⊃	PROPN
ejpam-6225	400	10	sr	sr	PROPN
ejpam-6225	400	11	l	l	PROPN
ejpam-6225	400	12	β−(=	β−(=	PROPN
ejpam-6225	400	13	)	)	PUNCT
ejpam-6225	400	14	∪	∪	ADP
ejpam-6225	400	15	sr	sr	PROPN
ejpam-6225	400	16	l	l	PROPN
ejpam-6225	400	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	400	18	)	)	PUNCT
ejpam-6225	400	19	.	.	PUNCT
ejpam-6225	401	1	hence	hence	ADV
ejpam-6225	401	2	,	,	PUNCT
ejpam-6225	401	3	sr	sr	PROPN
ejpam-6225	401	4	l	l	PROPN
ejpam-6225	401	5	β−(=	β−(=	PROPN
ejpam-6225	401	6	∩	∩	PROPN
ejpam-6225	401	7	ϑ	ϑ	X
ejpam-6225	401	8	)	)	PUNCT
ejpam-6225	401	9	*	*	PUNCT
ejpam-6225	401	10	sr	sr	PROPN
ejpam-6225	401	11	l	l	PROPN
ejpam-6225	401	12	β−(=	β−(=	PROPN
ejpam-6225	401	13	)	)	PUNCT
ejpam-6225	401	14	∪	∪	ADP
ejpam-6225	401	15	sr	sr	PROPN
ejpam-6225	401	16	l	l	PROPN
ejpam-6225	401	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	401	18	)	)	PUNCT
ejpam-6225	401	19	.	.	PUNCT
ejpam-6225	402	1	(	(	PUNCT
ejpam-6225	402	2	4	4	X
ejpam-6225	402	3	)	)	PUNCT
ejpam-6225	402	4	in	in	ADP
ejpam-6225	402	5	part	part	NOUN
ejpam-6225	402	6	(	(	PUNCT
ejpam-6225	402	7	1	1	NUM
ejpam-6225	402	8	)	)	PUNCT
ejpam-6225	402	9	,	,	PUNCT
ejpam-6225	402	10	=	=	PUNCT
ejpam-6225	402	11	∪	∪	X
ejpam-6225	402	12	ϑ	ϑ	X
ejpam-6225	402	13	=	=	SYM
ejpam-6225	402	14	,	,	PUNCT
ejpam-6225	402	15	2ג	2ג	NUM
ejpam-6225	402	16	}	}	PUNCT
ejpam-6225	402	17	.{6ג	.{6ג	PROPN
ejpam-6225	402	18	thus	thus	ADV
ejpam-6225	402	19	,	,	PUNCT
ejpam-6225	402	20	srl	srl	PROPN
ejpam-6225	402	21	β−(=	β−(=	PROPN
ejpam-6225	402	22	∪	∪	ADP
ejpam-6225	402	23	ϑ	ϑ	NOUN
ejpam-6225	402	24	)	)	PUNCT
ejpam-6225	402	25	=	=	NOUN
ejpam-6225	402	26	,	,	PUNCT
ejpam-6225	402	27	1ג	1ג	NUM
ejpam-6225	402	28	}	}	PUNCT
ejpam-6225	402	29	,	,	PUNCT
ejpam-6225	402	30	4ג	4ג	NOUN
ejpam-6225	402	31	{	{	PUNCT
ejpam-6225	402	32	5ג	5ג	NOUN
ejpam-6225	402	33	⊂	⊂	X
ejpam-6225	402	34	q	q	X
ejpam-6225	402	35	=	=	PUNCT
ejpam-6225	402	36	srl	srl	PROPN
ejpam-6225	402	37	β−(=	β−(=	NOUN
ejpam-6225	402	38	)	)	PUNCT
ejpam-6225	402	39	∩	∩	PROPN
ejpam-6225	402	40	srl	srl	PROPN
ejpam-6225	402	41	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	402	42	)	)	PUNCT
ejpam-6225	402	43	,	,	PUNCT
ejpam-6225	402	44	that	that	ADV
ejpam-6225	402	45	is	is	ADV
ejpam-6225	402	46	,	,	PUNCT
ejpam-6225	402	47	srl	srl	PROPN
ejpam-6225	402	48	β−(=	β−(=	PROPN
ejpam-6225	402	49	∪	∪	PROPN
ejpam-6225	402	50	ϑ	ϑ	NOUN
ejpam-6225	402	51	)	)	PUNCT
ejpam-6225	402	52	⊂	⊂	PROPN
ejpam-6225	402	53	srl	srl	PROPN
ejpam-6225	402	54	β−(=	β−(=	PROPN
ejpam-6225	402	55	)	)	PUNCT
ejpam-6225	402	56	∩srl	∩srl	PROPN
ejpam-6225	402	57	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	402	58	)	)	PUNCT
ejpam-6225	402	59	.	.	PUNCT
ejpam-6225	403	1	that	that	PRON
ejpam-6225	403	2	is	be	AUX
ejpam-6225	403	3	sr	sr	PROPN
ejpam-6225	403	4	l	l	PROPN
ejpam-6225	403	5	β−(=	β−(=	PROPN
ejpam-6225	403	6	∪	∪	ADP
ejpam-6225	403	7	ϑ	ϑ	NOUN
ejpam-6225	403	8	)	)	PUNCT
ejpam-6225	403	9	+	+	CCONJ
ejpam-6225	403	10	sr	sr	PROPN
ejpam-6225	403	11	l	l	PROPN
ejpam-6225	403	12	β−(=	β−(=	PROPN
ejpam-6225	403	13	)	)	PUNCT
ejpam-6225	403	14	∩	∩	ADJ
ejpam-6225	403	15	sr	sr	PROPN
ejpam-6225	403	16	l	l	PROPN
ejpam-6225	403	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	403	18	)	)	PUNCT
ejpam-6225	403	19	.	.	PUNCT
ejpam-6225	404	1	(	(	PUNCT
ejpam-6225	404	2	5	5	X
ejpam-6225	404	3	)	)	PUNCT
ejpam-6225	404	4	now	now	ADV
ejpam-6225	404	5	,	,	PUNCT
ejpam-6225	404	6	if	if	SCONJ
ejpam-6225	404	7	we	we	PRON
ejpam-6225	404	8	consider	consider	VERB
ejpam-6225	404	9	that	that	DET
ejpam-6225	404	10	=	=	NOUN
ejpam-6225	404	11	,	,	PUNCT
ejpam-6225	404	12	ϑ	ϑ	X
ejpam-6225	404	13	⊆	⊆	NUM
ejpam-6225	404	14	q	q	NOUN
ejpam-6225	404	15	such	such	ADJ
ejpam-6225	404	16	that	that	SCONJ
ejpam-6225	404	17	=	=	SYM
ejpam-6225	404	18	=	=	SYM
ejpam-6225	404	19	3ג	3ג	NOUN
ejpam-6225	404	20	}	}	PUNCT
ejpam-6225	404	21	,	,	PUNCT
ejpam-6225	404	22	,	,	PUNCT
ejpam-6225	404	23	4ג	4ג	NOUN
ejpam-6225	404	24	{	{	PUNCT
ejpam-6225	404	25	5ג	5ג	NOUN
ejpam-6225	404	26	and	and	CCONJ
ejpam-6225	404	27	ϑ	ϑ	X
ejpam-6225	404	28	=	=	X
ejpam-6225	404	29	,	,	PUNCT
ejpam-6225	404	30	1ג	1ג	NUM
ejpam-6225	404	31	}	}	PUNCT
ejpam-6225	404	32	,	,	PUNCT
ejpam-6225	404	33	2ג	2ג	NUM
ejpam-6225	404	34	.{5ג	.{5ג	PUNCT
ejpam-6225	404	35	then	then	ADV
ejpam-6225	404	36	,	,	PUNCT
ejpam-6225	404	37	=	=	PUNCT
ejpam-6225	404	38	∪	∪	X
ejpam-6225	404	39	ϑ	ϑ	X
ejpam-6225	404	40	=	=	X
ejpam-6225	404	41	,	,	PUNCT
ejpam-6225	404	42	1ג	1ג	NUM
ejpam-6225	404	43	}	}	PUNCT
ejpam-6225	404	44	,	,	PUNCT
ejpam-6225	404	45	2ג	2ג	NOUN
ejpam-6225	404	46	3ג	3ג	NUM
ejpam-6225	404	47	,	,	PUNCT
ejpam-6225	404	48	,	,	PUNCT
ejpam-6225	404	49	4ג	4ג	PROPN
ejpam-6225	404	50	.{5ג	.{5ג	X
ejpam-6225	405	1	therefore	therefore	ADV
ejpam-6225	405	2	,	,	PUNCT
ejpam-6225	405	3	sr	sr	PROPN
ejpam-6225	405	4	l	l	PROPN
ejpam-6225	405	5	β−(=	β−(=	PROPN
ejpam-6225	405	6	)	)	PUNCT
ejpam-6225	405	7	=	=	SYM
ejpam-6225	405	8	,	,	PUNCT
ejpam-6225	405	9	2ג	2ג	NUM
ejpam-6225	405	10	}	}	PUNCT
ejpam-6225	405	11	,	,	PUNCT
ejpam-6225	405	12	3ג	3ג	NUM
ejpam-6225	405	13	{	{	PUNCT
ejpam-6225	405	14	6ג	6ג	NUM
ejpam-6225	405	15	,	,	PUNCT
ejpam-6225	405	16	sr	sr	PROPN
ejpam-6225	405	17	l	l	NOUN
ejpam-6225	405	18	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	405	19	)	)	PUNCT
ejpam-6225	405	20	=	=	NOUN
ejpam-6225	405	21	,	,	PUNCT
ejpam-6225	405	22	3ג	3ג	NOUN
ejpam-6225	405	23	}	}	PUNCT
ejpam-6225	405	24	,	,	PUNCT
ejpam-6225	405	25	4ג	4ג	NOUN
ejpam-6225	405	26	{	{	PUNCT
ejpam-6225	405	27	6ג	6ג	NUM
ejpam-6225	405	28	and	and	CCONJ
ejpam-6225	405	29	sr	sr	PROPN
ejpam-6225	405	30	l	l	PROPN
ejpam-6225	405	31	β−(=	β−(=	PROPN
ejpam-6225	405	32	∪	∪	ADP
ejpam-6225	405	33	ϑ	ϑ	NOUN
ejpam-6225	405	34	)	)	PUNCT
ejpam-6225	405	35	=	=	NOUN
ejpam-6225	405	36	∅	∅	NOUN
ejpam-6225	405	37	clearly	clearly	ADV
ejpam-6225	405	38	,	,	PUNCT
ejpam-6225	405	39	sr	sr	PROPN
ejpam-6225	405	40	l	l	PROPN
ejpam-6225	405	41	β−(=	β−(=	PROPN
ejpam-6225	405	42	∪	∪	ADP
ejpam-6225	405	43	ϑ	ϑ	NOUN
ejpam-6225	405	44	)	)	PUNCT
ejpam-6225	405	45	=	=	SYM
ejpam-6225	405	46	∅	∅	NOUN
ejpam-6225	405	47	⊂	⊂	PROPN
ejpam-6225	405	48	,	,	PUNCT
ejpam-6225	405	49	3ג	3ג	NOUN
ejpam-6225	405	50	}	}	PUNCT
ejpam-6225	405	51	{	{	PUNCT
ejpam-6225	405	52	6ג	6ג	NOUN
ejpam-6225	405	53	=	=	SYM
ejpam-6225	405	54	sr	sr	PROPN
ejpam-6225	405	55	l	l	PROPN
ejpam-6225	405	56	β−(=	β−(=	PROPN
ejpam-6225	405	57	)	)	PUNCT
ejpam-6225	405	58	∩	∩	ADJ
ejpam-6225	405	59	sr	sr	PROPN
ejpam-6225	405	60	l	l	PROPN
ejpam-6225	405	61	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	405	62	)	)	PUNCT
ejpam-6225	405	63	.	.	PUNCT
ejpam-6225	406	1	that	that	PRON
ejpam-6225	406	2	is	be	AUX
ejpam-6225	406	3	,	,	PUNCT
ejpam-6225	406	4	sr	sr	PROPN
ejpam-6225	406	5	l	l	PROPN
ejpam-6225	406	6	β−(=	β−(=	PROPN
ejpam-6225	406	7	∪	∪	ADP
ejpam-6225	406	8	ϑ	ϑ	NOUN
ejpam-6225	406	9	)	)	PUNCT
ejpam-6225	406	10	⊂	⊂	PROPN
ejpam-6225	406	11	sr	sr	PROPN
ejpam-6225	406	12	l	l	PROPN
ejpam-6225	406	13	β−(=	β−(=	PROPN
ejpam-6225	406	14	)	)	PUNCT
ejpam-6225	406	15	∩	∩	PROPN
ejpam-6225	406	16	sr	sr	PROPN
ejpam-6225	406	17	l	l	PROPN
ejpam-6225	406	18	β−(=	β−(=	PROPN
ejpam-6225	406	19	)	)	PUNCT
ejpam-6225	406	20	,	,	PUNCT
ejpam-6225	406	21	which	which	PRON
ejpam-6225	406	22	implies	imply	VERB
ejpam-6225	406	23	that	that	SCONJ
ejpam-6225	406	24	srl	srl	PROPN
ejpam-6225	406	25	β−(=	β−(=	PROPN
ejpam-6225	406	26	∩	∩	PROPN
ejpam-6225	406	27	ϑ	ϑ	X
ejpam-6225	406	28	)	)	PUNCT
ejpam-6225	406	29	*	*	PUNCT
ejpam-6225	406	30	srl	srl	PROPN
ejpam-6225	406	31	β−(=	β−(=	PROPN
ejpam-6225	406	32	)	)	PUNCT
ejpam-6225	406	33	∪	∪	ADP
ejpam-6225	406	34	srl	srl	PROPN
ejpam-6225	406	35	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	406	36	)	)	PUNCT
ejpam-6225	406	37	.	.	PUNCT
ejpam-6225	407	1	(	(	PUNCT
ejpam-6225	407	2	6	6	NUM
ejpam-6225	407	3	)	)	PUNCT
ejpam-6225	407	4	now	now	ADV
ejpam-6225	407	5	,	,	PUNCT
ejpam-6225	407	6	if	if	SCONJ
ejpam-6225	407	7	we	we	PRON
ejpam-6225	407	8	assume	assume	VERB
ejpam-6225	407	9	that	that	SCONJ
ejpam-6225	407	10	=	=	NOUN
ejpam-6225	407	11	,	,	PUNCT
ejpam-6225	407	12	ϑ	ϑ	X
ejpam-6225	407	13	⊆	⊆	NUM
ejpam-6225	407	14	q	q	NOUN
ejpam-6225	407	15	is	be	AUX
ejpam-6225	407	16	such	such	ADJ
ejpam-6225	407	17	that	that	SCONJ
ejpam-6225	407	18	=	=	SYM
ejpam-6225	407	19	=	=	SYM
ejpam-6225	407	20	3ג	3ג	NOUN
ejpam-6225	407	21	}	}	PUNCT
ejpam-6225	407	22	,	,	PUNCT
ejpam-6225	407	23	,	,	PUNCT
ejpam-6225	407	24	4ג	4ג	NOUN
ejpam-6225	407	25	{	{	PUNCT
ejpam-6225	407	26	6ג	6ג	NOUN
ejpam-6225	407	27	and	and	CCONJ
ejpam-6225	407	28	ϑ	ϑ	X
ejpam-6225	407	29	=	=	SYM
ejpam-6225	407	30	,	,	PUNCT
ejpam-6225	407	31	2ג	2ג	NUM
ejpam-6225	407	32	}	}	PUNCT
ejpam-6225	407	33	.{6ג	.{6ג	PROPN
ejpam-6225	407	34	then	then	ADV
ejpam-6225	407	35	,	,	PUNCT
ejpam-6225	407	36	=	=	SYM
ejpam-6225	407	37	∩	∩	X
ejpam-6225	407	38	ϑ	ϑ	X
ejpam-6225	407	39	=	=	SYM
ejpam-6225	407	40	.{6ג	.{6ג	ADJ
ejpam-6225	407	41	}	}	PUNCT
ejpam-6225	407	42	then	then	ADV
ejpam-6225	407	43	,	,	PUNCT
ejpam-6225	407	44	srl	srl	PROPN
ejpam-6225	407	45	β−(=	β−(=	PROPN
ejpam-6225	407	46	)	)	PUNCT
ejpam-6225	407	47	=	=	SYM
ejpam-6225	407	48	,	,	PUNCT
ejpam-6225	407	49	1ג	1ג	NUM
ejpam-6225	407	50	}	}	PUNCT
ejpam-6225	407	51	,	,	PUNCT
ejpam-6225	407	52	2ג	2ג	NOUN
ejpam-6225	407	53	{	{	PUNCT
ejpam-6225	407	54	5ג	5ג	NOUN
ejpam-6225	407	55	,	,	PUNCT
ejpam-6225	407	56	sl	sl	PROPN
ejpam-6225	407	57	−(ϑ	−(ϑ	ADJ
ejpam-6225	407	58	)	)	PUNCT
ejpam-6225	407	59	=	=	PUNCT
ejpam-6225	407	60	,	,	PUNCT
ejpam-6225	407	61	1ג	1ג	NUM
ejpam-6225	407	62	}	}	PUNCT
ejpam-6225	407	63	,	,	PUNCT
ejpam-6225	407	64	4ג	4ג	NOUN
ejpam-6225	407	65	{	{	PUNCT
ejpam-6225	407	66	5ג	5ג	NOUN
ejpam-6225	407	67	,	,	PUNCT
ejpam-6225	407	68	and	and	CCONJ
ejpam-6225	407	69	srl	srl	PROPN
ejpam-6225	407	70	β−(=	β−(=	PROPN
ejpam-6225	407	71	∩	∩	PROPN
ejpam-6225	407	72	ϑ	ϑ	X
ejpam-6225	407	73	)	)	PUNCT
ejpam-6225	407	74	=	=	VERB
ejpam-6225	407	75	q.	q.	PROPN
ejpam-6225	407	76	clearly	clearly	ADV
ejpam-6225	407	77	,	,	PUNCT
ejpam-6225	407	78	srl	srl	PROPN
ejpam-6225	407	79	β−(=	β−(=	X
ejpam-6225	407	80	∩	∩	PROPN
ejpam-6225	407	81	ϑ	ϑ	X
ejpam-6225	407	82	)	)	PUNCT
ejpam-6225	407	83	=	=	SYM
ejpam-6225	407	84	q	q	PROPN
ejpam-6225	407	85	⊃	⊃	NOUN
ejpam-6225	407	86	,	,	PUNCT
ejpam-6225	407	87	1ג	1ג	NUM
ejpam-6225	407	88	}	}	PUNCT
ejpam-6225	407	89	,	,	PUNCT
ejpam-6225	407	90	2ג	2ג	NUM
ejpam-6225	407	91	,	,	PUNCT
ejpam-6225	407	92	4ג	4ג	NOUN
ejpam-6225	407	93	{	{	PUNCT
ejpam-6225	407	94	5ג	5ג	NOUN
ejpam-6225	407	95	=	=	SYM
ejpam-6225	407	96	srl	srl	PROPN
ejpam-6225	407	97	β−(=	β−(=	PROPN
ejpam-6225	407	98	)	)	PUNCT
ejpam-6225	407	99	∪srl	∪srl	PROPN
ejpam-6225	407	100	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	407	101	)	)	PUNCT
ejpam-6225	407	102	,	,	PUNCT
ejpam-6225	407	103	that	that	ADV
ejpam-6225	407	104	is	is	ADV
ejpam-6225	407	105	,	,	PUNCT
ejpam-6225	407	106	srl	srl	PROPN
ejpam-6225	407	107	β−(=	β−(=	PROPN
ejpam-6225	407	108	∩	∩	PROPN
ejpam-6225	407	109	ϑ	ϑ	X
ejpam-6225	407	110	)	)	PUNCT
ejpam-6225	407	111	⊃	⊃	PROPN
ejpam-6225	407	112	srl	srl	PROPN
ejpam-6225	407	113	β−(=	β−(=	PROPN
ejpam-6225	407	114	)	)	PUNCT
ejpam-6225	407	115	∪	∪	ADP
ejpam-6225	407	116	srl	srl	PROPN
ejpam-6225	407	117	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	407	118	)	)	PUNCT
ejpam-6225	407	119	,	,	PUNCT
ejpam-6225	407	120	which	which	PRON
ejpam-6225	407	121	shows	show	VERB
ejpam-6225	407	122	that	that	SCONJ
ejpam-6225	407	123	srl	srl	PROPN
ejpam-6225	407	124	β−(=	β−(=	PROPN
ejpam-6225	407	125	∪	∪	PROPN
ejpam-6225	407	126	ϑ	ϑ	NOUN
ejpam-6225	407	127	)	)	PUNCT
ejpam-6225	407	128	+	+	CCONJ
ejpam-6225	407	129	srl	srl	PROPN
ejpam-6225	407	130	β−(=	β−(=	NOUN
ejpam-6225	407	131	)	)	PUNCT
ejpam-6225	407	132	∩	∩	NOUN
ejpam-6225	407	133	srl	srl	PROPN
ejpam-6225	407	134	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	407	135	)	)	PUNCT
ejpam-6225	407	136	.	.	PUNCT
ejpam-6225	408	1	remark	remark	NOUN
ejpam-6225	408	2	3.5	3.5	NUM
ejpam-6225	408	3	.	.	PUNCT
ejpam-6225	409	1	let	let	VERB
ejpam-6225	409	2	b	b	NOUN
ejpam-6225	409	3	=	=	SYM
ejpam-6225	409	4	(	(	PUNCT
ejpam-6225	409	5	f	f	X
ejpam-6225	409	6	,	,	PUNCT
ejpam-6225	409	7	g	g	NOUN
ejpam-6225	409	8	:	:	PUNCT
ejpam-6225	409	9	℘	℘	PROPN
ejpam-6225	409	10	)	)	PUNCT
ejpam-6225	409	11	∈	∈	PROPN
ejpam-6225	409	12	bssq	bssq	NOUN
ejpam-6225	409	13	and	and	CCONJ
ejpam-6225	409	14	βl	βl	NOUN
ejpam-6225	409	15	=	=	PUNCT
ejpam-6225	409	16	(	(	PUNCT
ejpam-6225	409	17	q	q	ADJ
ejpam-6225	409	18	,	,	PUNCT
ejpam-6225	409	19	(	(	PUNCT
ejpam-6225	409	20	f	f	X
ejpam-6225	409	21	,	,	PUNCT
ejpam-6225	409	22	g	g	NOUN
ejpam-6225	409	23	:	:	PUNCT
ejpam-6225	409	24	℘	℘	NUM
ejpam-6225	409	25	)	)	PUNCT
ejpam-6225	409	26	,	,	PUNCT
ejpam-6225	409	27	l	l	NOUN
ejpam-6225	409	28	)	)	PUNCT
ejpam-6225	409	29	be	be	AUX
ejpam-6225	409	30	ibsa	ibsa	NOUN
ejpam-6225	409	31	-	-	NOUN
ejpam-6225	409	32	space	space	NOUN
ejpam-6225	409	33	.	.	PUNCT
ejpam-6225	410	1	then	then	ADV
ejpam-6225	410	2	,	,	PUNCT
ejpam-6225	410	3	the	the	DET
ejpam-6225	410	4	above	above	ADJ
ejpam-6225	410	5	example	example	NOUN
ejpam-6225	410	6	shows	show	VERB
ejpam-6225	410	7	that	that	SCONJ
ejpam-6225	410	8	in	in	ADP
ejpam-6225	410	9	general	general	ADJ
ejpam-6225	410	10	:	:	PUNCT
ejpam-6225	410	11	(	(	PUNCT
ejpam-6225	410	12	1	1	X
ejpam-6225	410	13	)	)	PUNCT
ejpam-6225	410	14	srl	srl	PROPN
ejpam-6225	410	15	β+(∅	β+(∅	NOUN
ejpam-6225	410	16	)	)	PUNCT
ejpam-6225	410	17	6=	6=	NUM
ejpam-6225	410	18	sr	sr	PROPN
ejpam-6225	410	19	l	l	PROPN
ejpam-6225	410	20	β+(∅	β+(∅	PROPN
ejpam-6225	410	21	)	)	PUNCT
ejpam-6225	410	22	and	and	CCONJ
ejpam-6225	410	23	srl	srl	PROPN
ejpam-6225	410	24	β−(∅	β−(∅	NUM
ejpam-6225	410	25	)	)	PUNCT
ejpam-6225	410	26	6=	6=	NUM
ejpam-6225	410	27	sr	sr	PROPN
ejpam-6225	410	28	l	l	PROPN
ejpam-6225	410	29	β−(∅	β−(∅	PROPN
ejpam-6225	410	30	)	)	PUNCT
ejpam-6225	410	31	.	.	PUNCT
ejpam-6225	411	1	d.	d.	PROPN
ejpam-6225	411	2	shi	shi	PROPN
ejpam-6225	411	3	et	et	PROPN
ejpam-6225	411	4	al	al	PROPN
ejpam-6225	411	5	.	.	PUNCT
ejpam-6225	411	6	/	/	SYM
ejpam-6225	411	7	eur	eur	PROPN
ejpam-6225	411	8	.	.	PUNCT
ejpam-6225	412	1	j.	j.	PROPN
ejpam-6225	412	2	pure	pure	PROPN
ejpam-6225	412	3	appl	appl	PROPN
ejpam-6225	412	4	.	.	PROPN
ejpam-6225	412	5	math	math	PROPN
ejpam-6225	412	6	,	,	PUNCT
ejpam-6225	412	7	18	18	NUM
ejpam-6225	412	8	(	(	PUNCT
ejpam-6225	412	9	4	4	NUM
ejpam-6225	412	10	)	)	PUNCT
ejpam-6225	412	11	(	(	PUNCT
ejpam-6225	412	12	2025	2025	NUM
ejpam-6225	412	13	)	)	PUNCT
ejpam-6225	412	14	,	,	PUNCT
ejpam-6225	412	15	6225	6225	NUM
ejpam-6225	412	16	12	12	NUM
ejpam-6225	412	17	of	of	ADP
ejpam-6225	412	18	36	36	NUM
ejpam-6225	412	19	(	(	PUNCT
ejpam-6225	412	20	2	2	NUM
ejpam-6225	412	21	)	)	PUNCT
ejpam-6225	412	22	srl	srl	NOUN
ejpam-6225	412	23	β+(q	β+(q	NOUN
ejpam-6225	412	24	)	)	PUNCT
ejpam-6225	412	25	6=	6=	NUM
ejpam-6225	412	26	sr	sr	PROPN
ejpam-6225	412	27	l	l	PROPN
ejpam-6225	412	28	β+(q	β+(q	PUNCT
ejpam-6225	412	29	)	)	PUNCT
ejpam-6225	412	30	and	and	CCONJ
ejpam-6225	412	31	srl	srl	PROPN
ejpam-6225	412	32	β−(q	β−(q	NOUN
ejpam-6225	412	33	)	)	PUNCT
ejpam-6225	413	1	6=	6=	NUM
ejpam-6225	413	2	sr	sr	PROPN
ejpam-6225	413	3	l	l	PROPN
ejpam-6225	413	4	β−(q	β−(q	PROPN
ejpam-6225	413	5	)	)	PUNCT
ejpam-6225	413	6	.	.	PUNCT
ejpam-6225	414	1	the	the	DET
ejpam-6225	414	2	condition	condition	NOUN
ejpam-6225	414	3	in	in	ADP
ejpam-6225	414	4	which	which	PRON
ejpam-6225	414	5	the	the	DET
ejpam-6225	414	6	ideal	ideal	ADJ
ejpam-6225	414	7	soft	soft	ADJ
ejpam-6225	414	8	βl	βl	NOUN
ejpam-6225	414	9	-upper	-upper	NOUN
ejpam-6225	414	10	positive	positive	ADJ
ejpam-6225	414	11	and	and	CCONJ
ejpam-6225	414	12	deal	deal	VERB
ejpam-6225	414	13	soft	soft	ADJ
ejpam-6225	414	14	βl	βl	ADP
ejpam-6225	414	15	-lower	-lower	NOUN
ejpam-6225	414	16	pas	pas	NOUN
ejpam-6225	414	17	of	of	ADP
ejpam-6225	414	18	q	q	NOUN
ejpam-6225	414	19	and	and	CCONJ
ejpam-6225	414	20	∅	∅	NOUN
ejpam-6225	414	21	coincide	coincide	NOUN
ejpam-6225	414	22	is	be	AUX
ejpam-6225	414	23	shown	show	VERB
ejpam-6225	414	24	in	in	ADP
ejpam-6225	414	25	the	the	DET
ejpam-6225	414	26	following	follow	VERB
ejpam-6225	414	27	results	result	NOUN
ejpam-6225	414	28	.	.	PUNCT
ejpam-6225	415	1	proposition	proposition	NOUN
ejpam-6225	415	2	3.2	3.2	NUM
ejpam-6225	415	3	.	.	PUNCT
ejpam-6225	416	1	let	let	VERB
ejpam-6225	416	2	βl	βl	VERB
ejpam-6225	417	1	=	=	PUNCT
ejpam-6225	418	1	(	(	PUNCT
ejpam-6225	418	2	q	q	ADJ
ejpam-6225	418	3	,	,	PUNCT
ejpam-6225	418	4	(	(	PUNCT
ejpam-6225	418	5	f	f	X
ejpam-6225	418	6	,	,	PUNCT
ejpam-6225	418	7	g	g	NOUN
ejpam-6225	418	8	:	:	PUNCT
ejpam-6225	418	9	℘	℘	NUM
ejpam-6225	418	10	)	)	PUNCT
ejpam-6225	418	11	,	,	PUNCT
ejpam-6225	418	12	l	l	NOUN
ejpam-6225	418	13	)	)	PUNCT
ejpam-6225	418	14	be	be	AUX
ejpam-6225	418	15	ibsa	ibsa	NOUN
ejpam-6225	418	16	-	-	PUNCT
ejpam-6225	418	17	space	space	NOUN
ejpam-6225	418	18	and	and	CCONJ
ejpam-6225	418	19	b	b	NOUN
ejpam-6225	419	1	=	=	SYM
ejpam-6225	419	2	(	(	PUNCT
ejpam-6225	419	3	f	f	X
ejpam-6225	419	4	,	,	PUNCT
ejpam-6225	419	5	g	g	NOUN
ejpam-6225	419	6	:	:	PUNCT
ejpam-6225	419	7	℘	℘	PROPN
ejpam-6225	419	8	)	)	PUNCT
ejpam-6225	419	9	∈	∈	PROPN
ejpam-6225	419	10	bssq	bssq	NOUN
ejpam-6225	419	11	be	be	AUX
ejpam-6225	419	12	a	a	DET
ejpam-6225	419	13	full	full	ADJ
ejpam-6225	419	14	bipolar	bipolar	ADJ
ejpam-6225	419	15	soft	soft	ADJ
ejpam-6225	419	16	set	set	NOUN
ejpam-6225	419	17	,	,	PUNCT
ejpam-6225	419	18	that	that	ADV
ejpam-6225	419	19	is	is	ADV
ejpam-6225	419	20	⋃	⋃	ADP
ejpam-6225	419	21	e∈℘	e∈℘	ADJ
ejpam-6225	419	22	f(ς	f(ς	PROPN
ejpam-6225	419	23	)	)	PUNCT
ejpam-6225	419	24	=	=	SYM
ejpam-6225	420	1	q	q	X
ejpam-6225	421	1	and	and	CCONJ
ejpam-6225	421	2	⋃	⋃	PROPN
ejpam-6225	421	3	¬ς∈℘	¬ς∈℘	PROPN
ejpam-6225	421	4	g(¬ς	g(¬ς	PROPN
ejpam-6225	421	5	)	)	PUNCT
ejpam-6225	422	1	=	=	PUNCT
ejpam-6225	422	2	q.	q.	NOUN
ejpam-6225	422	3	then	then	ADV
ejpam-6225	422	4	,	,	PUNCT
ejpam-6225	422	5	(	(	PUNCT
ejpam-6225	422	6	1	1	X
ejpam-6225	422	7	)	)	PUNCT
ejpam-6225	422	8	srl	srl	NOUN
ejpam-6225	422	9	β+(q	β+(q	NOUN
ejpam-6225	422	10	)	)	PUNCT
ejpam-6225	422	11	=	=	SYM
ejpam-6225	422	12	q	q	PROPN
ejpam-6225	422	13	and	and	CCONJ
ejpam-6225	422	14	sr	sr	PROPN
ejpam-6225	422	15	l	l	NOUN
ejpam-6225	422	16	β+(∅	β+(∅	PROPN
ejpam-6225	422	17	)	)	PUNCT
ejpam-6225	423	1	=	=	PUNCT
ejpam-6225	423	2	∅.	∅.	X
ejpam-6225	423	3	(	(	PUNCT
ejpam-6225	423	4	2	2	NUM
ejpam-6225	423	5	)	)	PUNCT
ejpam-6225	423	6	sr	sr	NOUN
ejpam-6225	423	7	l	l	NOUN
ejpam-6225	423	8	β−(∅	β−(∅	PUNCT
ejpam-6225	423	9	)	)	PUNCT
ejpam-6225	423	10	=	=	SYM
ejpam-6225	423	11	∅	∅	NOUN
ejpam-6225	423	12	and	and	CCONJ
ejpam-6225	423	13	srl	srl	PROPN
ejpam-6225	423	14	β−(q	β−(q	NOUN
ejpam-6225	423	15	)	)	PUNCT
ejpam-6225	424	1	=	=	SYM
ejpam-6225	424	2	q.	q.	NOUN
ejpam-6225	424	3	(	(	PUNCT
ejpam-6225	424	4	3	3	NUM
ejpam-6225	424	5	)	)	PUNCT
ejpam-6225	424	6	=	=	SYM
ejpam-6225	424	7	∈	∈	PROPN
ejpam-6225	424	8	l	l	NOUN
ejpam-6225	424	9	⇒	⇒	X
ejpam-6225	424	10	sr	sr	PROPN
ejpam-6225	424	11	l	l	PROPN
ejpam-6225	424	12	β−(=	β−(=	PROPN
ejpam-6225	424	13	)	)	PUNCT
ejpam-6225	424	14	=	=	SYM
ejpam-6225	424	15	q	q	PROPN
ejpam-6225	424	16	and	and	CCONJ
ejpam-6225	424	17	srl	srl	PROPN
ejpam-6225	424	18	β−(=	β−(=	PROPN
ejpam-6225	424	19	)	)	PUNCT
ejpam-6225	424	20	=	=	PUNCT
ejpam-6225	424	21	∅.	∅.	X
ejpam-6225	424	22	(	(	PUNCT
ejpam-6225	424	23	4	4	NUM
ejpam-6225	424	24	)	)	PUNCT
ejpam-6225	424	25	=	=	NOUN
ejpam-6225	424	26	c	c	NOUN
ejpam-6225	424	27	∈	∈	PROPN
ejpam-6225	424	28	l	l	NOUN
ejpam-6225	424	29	⇒	⇒	X
ejpam-6225	424	30	srl	srl	PROPN
ejpam-6225	424	31	β+(=	β+(=	PROPN
ejpam-6225	424	32	)	)	PUNCT
ejpam-6225	424	33	=	=	PUNCT
ejpam-6225	424	34	q	q	PROPN
ejpam-6225	424	35	and	and	CCONJ
ejpam-6225	424	36	sr	sr	PROPN
ejpam-6225	424	37	l	l	NOUN
ejpam-6225	424	38	β+(=	β+(=	PROPN
ejpam-6225	424	39	)	)	PUNCT
ejpam-6225	425	1	=	=	PUNCT
ejpam-6225	425	2	∅.	∅.	X
ejpam-6225	425	3	(	(	PUNCT
ejpam-6225	425	4	5	5	NUM
ejpam-6225	425	5	)	)	PUNCT
ejpam-6225	425	6	if	if	SCONJ
ejpam-6225	425	7	l	l	NOUN
ejpam-6225	425	8	=	=	SYM
ejpam-6225	425	9	2q	2q	NUM
ejpam-6225	425	10	,	,	PUNCT
ejpam-6225	425	11	then	then	ADV
ejpam-6225	425	12	sr	sr	PROPN
ejpam-6225	425	13	l	l	PROPN
ejpam-6225	425	14	β+(=	β+(=	PROPN
ejpam-6225	425	15	)	)	PUNCT
ejpam-6225	425	16	=	=	SYM
ejpam-6225	425	17	srl	srl	PROPN
ejpam-6225	425	18	β−(=	β−(=	PROPN
ejpam-6225	425	19	)	)	PUNCT
ejpam-6225	425	20	=	=	PUNCT
ejpam-6225	425	21	∅.	∅.	NOUN
ejpam-6225	425	22	proof	proof	NOUN
ejpam-6225	425	23	.	.	PUNCT
ejpam-6225	426	1	(	(	PUNCT
ejpam-6225	426	2	1	1	X
ejpam-6225	426	3	)	)	PUNCT
ejpam-6225	426	4	based	base	VERB
ejpam-6225	426	5	on	on	ADP
ejpam-6225	426	6	definition	definition	NOUN
ejpam-6225	426	7	3.1	3.1	NUM
ejpam-6225	426	8	we	we	PRON
ejpam-6225	426	9	get	get	VERB
ejpam-6225	426	10	srl	srl	PROPN
ejpam-6225	426	11	β+(q	β+(q	PUNCT
ejpam-6225	426	12	)	)	PUNCT
ejpam-6225	426	13	=	=	SYM
ejpam-6225	426	14	⋃	⋃	NOUN
ejpam-6225	426	15	{	{	PUNCT
ejpam-6225	426	16	f(ς	f(ς	PROPN
ejpam-6225	426	17	)	)	PUNCT
ejpam-6225	426	18	,	,	PUNCT
ejpam-6225	426	19	ς	ς	PROPN
ejpam-6225	426	20	∈	∈	PROPN
ejpam-6225	426	21	℘	℘	PROPN
ejpam-6225	426	22	:	:	PUNCT
ejpam-6225	426	23	f(ς	f(ς	PROPN
ejpam-6225	426	24	)	)	PUNCT
ejpam-6225	426	25	∩	∩	NOUN
ejpam-6225	426	26	∅	∅	NOUN
ejpam-6225	426	27	∈	∈	NOUN
ejpam-6225	426	28	l	l	NOUN
ejpam-6225	426	29	}	}	PUNCT
ejpam-6225	426	30	.	.	PUNCT
ejpam-6225	427	1	since⋃	since⋃	PROPN
ejpam-6225	427	2	e∈℘	e∈℘	X
ejpam-6225	427	3	f(ς	f(ς	PROPN
ejpam-6225	427	4	)	)	PUNCT
ejpam-6225	427	5	=	=	SYM
ejpam-6225	428	1	q	q	ADJ
ejpam-6225	428	2	,	,	PUNCT
ejpam-6225	428	3	therefore	therefore	ADV
ejpam-6225	428	4	sβ+(q	sβ+(q	PROPN
ejpam-6225	428	5	)	)	PUNCT
ejpam-6225	428	6	=	=	PUNCT
ejpam-6225	429	1	⋃	⋃	ADP
ejpam-6225	429	2	e∈℘	e∈℘	ADJ
ejpam-6225	429	3	f(ς	f(ς	PROPN
ejpam-6225	429	4	)	)	PUNCT
ejpam-6225	429	5	=	=	PUNCT
ejpam-6225	429	6	q.	q.	PROPN
ejpam-6225	429	7	now	now	ADV
ejpam-6225	429	8	,	,	PUNCT
ejpam-6225	429	9	by	by	ADP
ejpam-6225	429	10	definition	definition	NOUN
ejpam-6225	429	11	3.1	3.1	NUM
ejpam-6225	429	12	,	,	PUNCT
ejpam-6225	429	13	sr	sr	PROPN
ejpam-6225	429	14	l	l	PROPN
ejpam-6225	429	15	β+(∅	β+(∅	PROPN
ejpam-6225	429	16	)	)	PUNCT
ejpam-6225	430	1	=	=	PRON
ejpam-6225	430	2	(	(	PUNCT
ejpam-6225	430	3	srl	srl	PROPN
ejpam-6225	430	4	β+	β+	PUNCT
ejpam-6225	430	5	(	(	PUNCT
ejpam-6225	430	6	∅c	∅c	NOUN
ejpam-6225	430	7	)	)	PUNCT
ejpam-6225	430	8	)	)	PUNCT
ejpam-6225	431	1	c	c	X
ejpam-6225	431	2	=	=	PRON
ejpam-6225	431	3	(	(	PUNCT
ejpam-6225	431	4	srl	srl	PROPN
ejpam-6225	431	5	β+(q	β+(q	NUM
ejpam-6225	431	6	)	)	PUNCT
ejpam-6225	431	7	)	)	PUNCT
ejpam-6225	432	1	c	c	NOUN
ejpam-6225	432	2	=	=	SYM
ejpam-6225	432	3	qc	qc	PROPN
ejpam-6225	432	4	=	=	X
ejpam-6225	432	5	∅.	∅.	NOUN
ejpam-6225	432	6	that	that	PRON
ejpam-6225	432	7	is	be	AUX
ejpam-6225	432	8	,	,	PUNCT
ejpam-6225	432	9	sr	sr	PROPN
ejpam-6225	432	10	l	l	NOUN
ejpam-6225	432	11	β+(∅	β+(∅	PROPN
ejpam-6225	432	12	)	)	PUNCT
ejpam-6225	433	1	=	=	PUNCT
ejpam-6225	433	2	∅.	∅.	X
ejpam-6225	433	3	(	(	PUNCT
ejpam-6225	433	4	2	2	NUM
ejpam-6225	433	5	)	)	PUNCT
ejpam-6225	433	6	from	from	ADP
ejpam-6225	433	7	definition	definition	NOUN
ejpam-6225	433	8	3.1	3.1	NUM
ejpam-6225	433	9	,	,	PUNCT
ejpam-6225	433	10	we	we	PRON
ejpam-6225	433	11	get	get	VERB
ejpam-6225	433	12	that	that	PRON
ejpam-6225	433	13	sr	sr	PROPN
ejpam-6225	433	14	l	l	NOUN
ejpam-6225	433	15	β−(∅	β−(∅	PUNCT
ejpam-6225	433	16	)	)	PUNCT
ejpam-6225	433	17	=	=	SYM
ejpam-6225	433	18	⋃	⋃	NOUN
ejpam-6225	433	19	{	{	PUNCT
ejpam-6225	433	20	g(¬ς	g(¬ς	NOUN
ejpam-6225	433	21	)	)	PUNCT
ejpam-6225	433	22	,	,	PUNCT
ejpam-6225	433	23	¬ς	¬ς	NOUN
ejpam-6225	433	24	∈	∈	PROPN
ejpam-6225	433	25	ℵ	ℵ	X
ejpam-6225	433	26	:	:	PUNCT
ejpam-6225	433	27	g(¬ς)∩	g(¬ς)∩	NOUN
ejpam-6225	433	28	(	(	PUNCT
ejpam-6225	433	29	∅	∅	NOUN
ejpam-6225	433	30	)	)	PUNCT
ejpam-6225	433	31	∈	∈	NOUN
ejpam-6225	433	32	l	l	NOUN
ejpam-6225	433	33	}	}	PUNCT
ejpam-6225	433	34	.	.	PUNCT
ejpam-6225	434	1	since	since	SCONJ
ejpam-6225	434	2	,	,	PUNCT
ejpam-6225	434	3	⋃	⋃	PROPN
ejpam-6225	434	4	¬ς∈ℵ	¬ς∈ℵ	ADJ
ejpam-6225	434	5	g(¬ς	g(¬ς	PROPN
ejpam-6225	434	6	)	)	PUNCT
ejpam-6225	434	7	=	=	SYM
ejpam-6225	435	1	q.	q.	PROPN
ejpam-6225	435	2	therefore	therefore	ADV
ejpam-6225	435	3	,	,	PUNCT
ejpam-6225	435	4	it	it	PRON
ejpam-6225	435	5	implies	imply	VERB
ejpam-6225	435	6	that	that	SCONJ
ejpam-6225	435	7	sr	sr	PROPN
ejpam-6225	435	8	l	l	PROPN
ejpam-6225	435	9	β−(∅	β−(∅	PUNCT
ejpam-6225	435	10	)	)	PUNCT
ejpam-6225	435	11	=	=	SYM
ejpam-6225	436	1	⋃	⋃	ADP
ejpam-6225	436	2	¬ς∈ℵ	¬ς∈ℵ	ADJ
ejpam-6225	436	3	g(¬ς	g(¬ς	PROPN
ejpam-6225	436	4	)	)	PUNCT
ejpam-6225	436	5	=	=	PUNCT
ejpam-6225	437	1	q.	q.	NOUN
ejpam-6225	437	2	that	that	PRON
ejpam-6225	437	3	is	be	AUX
ejpam-6225	437	4	,	,	PUNCT
ejpam-6225	437	5	sr	sr	PROPN
ejpam-6225	437	6	l	l	PROPN
ejpam-6225	437	7	β−(∅	β−(∅	PUNCT
ejpam-6225	437	8	)	)	PUNCT
ejpam-6225	437	9	=	=	PUNCT
ejpam-6225	438	1	q.	q.	NOUN
ejpam-6225	438	2	by	by	ADP
ejpam-6225	438	3	definition	definition	NOUN
ejpam-6225	438	4	3.1	3.1	NUM
ejpam-6225	438	5	,	,	PUNCT
ejpam-6225	438	6	we	we	PRON
ejpam-6225	438	7	get	get	VERB
ejpam-6225	438	8	srl	srl	NOUN
ejpam-6225	438	9	β−(q	β−(q	NOUN
ejpam-6225	438	10	)	)	PUNCT
ejpam-6225	439	1	=	=	SYM
ejpam-6225	439	2	(	(	PUNCT
ejpam-6225	439	3	sr	sr	PROPN
ejpam-6225	439	4	l	l	PROPN
ejpam-6225	439	5	β−	β−	PROPN
ejpam-6225	439	6	(	(	PUNCT
ejpam-6225	439	7	qc	qc	PROPN
ejpam-6225	439	8	)	)	PUNCT
ejpam-6225	439	9	)	)	PUNCT
ejpam-6225	440	1	c	c	X
ejpam-6225	440	2	=	=	PRON
ejpam-6225	440	3	(	(	PUNCT
ejpam-6225	440	4	sr	sr	PROPN
ejpam-6225	440	5	l	l	PROPN
ejpam-6225	440	6	β−(∅	β−(∅	PROPN
ejpam-6225	440	7	)	)	PUNCT
ejpam-6225	440	8	)	)	PUNCT
ejpam-6225	441	1	c	c	NOUN
ejpam-6225	441	2	=	=	SYM
ejpam-6225	441	3	qc	qc	PROPN
ejpam-6225	441	4	=	=	X
ejpam-6225	441	5	∅.	∅.	NOUN
ejpam-6225	441	6	that	that	PRON
ejpam-6225	441	7	is	be	AUX
ejpam-6225	441	8	,	,	PUNCT
ejpam-6225	441	9	srl	srl	PROPN
ejpam-6225	441	10	β−(q	β−(q	NOUN
ejpam-6225	441	11	)	)	PUNCT
ejpam-6225	442	1	=	=	PUNCT
ejpam-6225	442	2	∅.	∅.	X
ejpam-6225	442	3	(	(	PUNCT
ejpam-6225	442	4	3	3	NUM
ejpam-6225	442	5	)	)	PUNCT
ejpam-6225	442	6	,	,	PUNCT
ejpam-6225	442	7	(	(	PUNCT
ejpam-6225	442	8	4	4	NUM
ejpam-6225	442	9	)	)	PUNCT
ejpam-6225	442	10	and	and	CCONJ
ejpam-6225	442	11	(	(	PUNCT
ejpam-6225	442	12	5	5	X
ejpam-6225	442	13	)	)	PUNCT
ejpam-6225	442	14	are	be	AUX
ejpam-6225	442	15	similar	similar	ADJ
ejpam-6225	442	16	to	to	ADP
ejpam-6225	442	17	(	(	PUNCT
ejpam-6225	442	18	1),(2	1),(2	PROPN
ejpam-6225	442	19	)	)	PUNCT
ejpam-6225	442	20	.	.	PUNCT
ejpam-6225	443	1	corollary	corollary	ADJ
ejpam-6225	443	2	3.1	3.1	NUM
ejpam-6225	443	3	.	.	PUNCT
ejpam-6225	444	1	let	let	VERB
ejpam-6225	444	2	βl	βl	VERB
ejpam-6225	445	1	=	=	PUNCT
ejpam-6225	446	1	(	(	PUNCT
ejpam-6225	446	2	q	q	ADJ
ejpam-6225	446	3	,	,	PUNCT
ejpam-6225	446	4	(	(	PUNCT
ejpam-6225	446	5	f	f	X
ejpam-6225	446	6	,	,	PUNCT
ejpam-6225	446	7	g	g	NOUN
ejpam-6225	446	8	:	:	PUNCT
ejpam-6225	446	9	℘	℘	NUM
ejpam-6225	446	10	)	)	PUNCT
ejpam-6225	446	11	,	,	PUNCT
ejpam-6225	446	12	l	l	NOUN
ejpam-6225	446	13	)	)	PUNCT
ejpam-6225	446	14	be	be	AUX
ejpam-6225	446	15	ibsa	ibsa	NOUN
ejpam-6225	446	16	-	-	PUNCT
ejpam-6225	446	17	space	space	NOUN
ejpam-6225	446	18	and	and	CCONJ
ejpam-6225	446	19	then	then	ADV
ejpam-6225	446	20	,	,	PUNCT
ejpam-6225	446	21	(	(	PUNCT
ejpam-6225	446	22	1	1	X
ejpam-6225	446	23	)	)	PUNCT
ejpam-6225	446	24	b	b	NOUN
ejpam-6225	446	25	=	=	SYM
ejpam-6225	446	26	(	(	PUNCT
ejpam-6225	446	27	f	f	X
ejpam-6225	446	28	,	,	PUNCT
ejpam-6225	446	29	g	g	NOUN
ejpam-6225	446	30	:	:	PUNCT
ejpam-6225	446	31	℘	℘	NUM
ejpam-6225	446	32	)	)	PUNCT
ejpam-6225	446	33	is	be	AUX
ejpam-6225	446	34	a	a	DET
ejpam-6225	446	35	full	full	ADJ
ejpam-6225	446	36	bipolar	bipolar	ADJ
ejpam-6225	446	37	soft	soft	ADJ
ejpam-6225	446	38	set	set	NOUN
ejpam-6225	446	39	;	;	PUNCT
ejpam-6225	446	40	(	(	PUNCT
ejpam-6225	446	41	2	2	X
ejpam-6225	446	42	)	)	PUNCT
ejpam-6225	446	43	psrl	psrl	NOUN
ejpam-6225	446	44	β	β	X
ejpam-6225	446	45	(	(	PUNCT
ejpam-6225	446	46	q	q	X
ejpam-6225	446	47	)	)	PUNCT
ejpam-6225	446	48	=	=	SYM
ejpam-6225	446	49	(	(	PUNCT
ejpam-6225	446	50	q	q	NOUN
ejpam-6225	446	51	,	,	PUNCT
ejpam-6225	446	52	q	q	NOUN
ejpam-6225	446	53	)	)	PUNCT
ejpam-6225	446	54	;	;	PUNCT
ejpam-6225	446	55	(	(	PUNCT
ejpam-6225	446	56	3	3	X
ejpam-6225	446	57	)	)	PUNCT
ejpam-6225	446	58	psr	psr	PROPN
ejpam-6225	446	59	l	l	NOUN
ejpam-6225	446	60	β	β	X
ejpam-6225	446	61	(	(	PUNCT
ejpam-6225	446	62	∅	∅	NOUN
ejpam-6225	446	63	)	)	PUNCT
ejpam-6225	446	64	=	=	SYM
ejpam-6225	446	65	(	(	PUNCT
ejpam-6225	446	66	∅	∅	NOUN
ejpam-6225	446	67	,	,	PUNCT
ejpam-6225	446	68	∅	∅	NOUN
ejpam-6225	446	69	)	)	PUNCT
ejpam-6225	446	70	.	.	PUNCT
ejpam-6225	447	1	proof	proof	NOUN
ejpam-6225	447	2	.	.	PUNCT
ejpam-6225	448	1	direct	direct	ADJ
ejpam-6225	448	2	consequence	consequence	NOUN
ejpam-6225	448	3	of	of	ADP
ejpam-6225	448	4	proposition	proposition	NOUN
ejpam-6225	448	5	3.2	3.2	NUM
ejpam-6225	448	6	.	.	PUNCT
ejpam-6225	449	1	the	the	DET
ejpam-6225	449	2	coming	come	VERB
ejpam-6225	449	3	result	result	NOUN
ejpam-6225	449	4	explains	explain	VERB
ejpam-6225	449	5	the	the	DET
ejpam-6225	449	6	relationship	relationship	NOUN
ejpam-6225	449	7	between	between	ADP
ejpam-6225	449	8	the	the	DET
ejpam-6225	449	9	ideal	ideal	ADJ
ejpam-6225	449	10	soft	soft	ADJ
ejpam-6225	449	11	upper	upper	ADJ
ejpam-6225	449	12	positive	positive	ADJ
ejpam-6225	449	13	,	,	PUNCT
ejpam-6225	449	14	ideal	ideal	ADJ
ejpam-6225	449	15	soft	soft	ADJ
ejpam-6225	449	16	lower	low	ADJ
ejpam-6225	449	17	nas	nas	NOUN
ejpam-6225	449	18	in	in	ADP
ejpam-6225	449	19	[	[	X
ejpam-6225	449	20	35	35	NUM
ejpam-6225	449	21	]	]	PUNCT
ejpam-6225	449	22	and	and	CCONJ
ejpam-6225	449	23	our	our	PRON
ejpam-6225	449	24	ideal	ideal	ADJ
ejpam-6225	449	25	soft	soft	ADJ
ejpam-6225	449	26	βl	βl	NOUN
ejpam-6225	449	27	-upper	-upper	NOUN
ejpam-6225	449	28	positive	positive	ADJ
ejpam-6225	449	29	,	,	PUNCT
ejpam-6225	449	30	and	and	CCONJ
ejpam-6225	449	31	ideal	ideal	ADJ
ejpam-6225	449	32	soft	soft	ADJ
ejpam-6225	449	33	βl	βl	ADP
ejpam-6225	449	34	-lower	-lower	PROPN
ejpam-6225	449	35	nas	nas	NOUN
ejpam-6225	449	36	of	of	ADP
ejpam-6225	449	37	=	=	NOUN
ejpam-6225	449	38	.	.	PUNCT
ejpam-6225	449	39	proposition	proposition	NOUN
ejpam-6225	449	40	3.3	3.3	NUM
ejpam-6225	449	41	.	.	PUNCT
ejpam-6225	450	1	let	let	VERB
ejpam-6225	450	2	βl	βl	VERB
ejpam-6225	451	1	=	=	PUNCT
ejpam-6225	452	1	(	(	PUNCT
ejpam-6225	452	2	q	q	ADJ
ejpam-6225	452	3	,	,	PUNCT
ejpam-6225	452	4	(	(	PUNCT
ejpam-6225	452	5	f	f	X
ejpam-6225	452	6	,	,	PUNCT
ejpam-6225	452	7	g	g	NOUN
ejpam-6225	452	8	:	:	PUNCT
ejpam-6225	452	9	℘	℘	NUM
ejpam-6225	452	10	)	)	PUNCT
ejpam-6225	452	11	,	,	PUNCT
ejpam-6225	452	12	l	l	NOUN
ejpam-6225	452	13	)	)	PUNCT
ejpam-6225	452	14	be	be	AUX
ejpam-6225	452	15	ibsa	ibsa	NOUN
ejpam-6225	452	16	-	-	PUNCT
ejpam-6225	452	17	space	space	NOUN
ejpam-6225	452	18	and	and	CCONJ
ejpam-6225	452	19	b	b	NOUN
ejpam-6225	453	1	=	=	SYM
ejpam-6225	453	2	(	(	PUNCT
ejpam-6225	453	3	f	f	X
ejpam-6225	453	4	,	,	PUNCT
ejpam-6225	453	5	g	g	NOUN
ejpam-6225	453	6	:	:	PUNCT
ejpam-6225	453	7	℘	℘	PROPN
ejpam-6225	453	8	)	)	PUNCT
ejpam-6225	453	9	∈	∈	PROPN
ejpam-6225	453	10	bssq	bssq	NOUN
ejpam-6225	453	11	be	be	AUX
ejpam-6225	453	12	a	a	DET
ejpam-6225	453	13	full	full	ADJ
ejpam-6225	453	14	bipolar	bipolar	ADJ
ejpam-6225	453	15	soft	soft	ADJ
ejpam-6225	453	16	set	set	NOUN
ejpam-6225	453	17	.	.	PUNCT
ejpam-6225	454	1	then	then	ADV
ejpam-6225	454	2	,	,	PUNCT
ejpam-6225	454	3	for	for	ADP
ejpam-6225	454	4	any	any	DET
ejpam-6225	454	5	=	=	SYM
ejpam-6225	454	6	⊆	⊆	NUM
ejpam-6225	454	7	q	q	NOUN
ejpam-6225	454	8	,	,	PUNCT
ejpam-6225	454	9	the	the	DET
ejpam-6225	454	10	following	follow	VERB
ejpam-6225	454	11	properties	property	NOUN
ejpam-6225	454	12	hold	hold	VERB
ejpam-6225	454	13	.	.	PUNCT
ejpam-6225	455	1	(	(	PUNCT
ejpam-6225	455	2	1	1	X
ejpam-6225	455	3	)	)	PUNCT
ejpam-6225	455	4	sr	sr	PROPN
ejpam-6225	455	5	l	l	NOUN
ejpam-6225	455	6	β+(=	β+(=	PROPN
ejpam-6225	455	7	)	)	PUNCT
ejpam-6225	455	8	⊆	⊆	NUM
ejpam-6225	455	9	sf	sf	PROPN
ejpam-6225	455	10	l	l	PROPN
ejpam-6225	455	11	β+(=	β+(=	PROPN
ejpam-6225	455	12	)	)	PUNCT
ejpam-6225	455	13	;	;	PUNCT
ejpam-6225	455	14	(	(	PUNCT
ejpam-6225	455	15	2	2	X
ejpam-6225	455	16	)	)	PUNCT
ejpam-6225	455	17	srl	srl	PROPN
ejpam-6225	455	18	β−(=	β−(=	PROPN
ejpam-6225	455	19	)	)	PUNCT
ejpam-6225	455	20	⊆	⊆	NUM
ejpam-6225	455	21	sfl	sfl	PROPN
ejpam-6225	455	22	β−(=	β−(=	NOUN
ejpam-6225	455	23	)	)	PUNCT
ejpam-6225	455	24	.	.	PUNCT
ejpam-6225	456	1	proof	proof	NOUN
ejpam-6225	456	2	.	.	PUNCT
ejpam-6225	457	1	d.	d.	PROPN
ejpam-6225	457	2	shi	shi	PROPN
ejpam-6225	457	3	et	et	PROPN
ejpam-6225	457	4	al	al	PROPN
ejpam-6225	457	5	.	.	PUNCT
ejpam-6225	457	6	/	/	SYM
ejpam-6225	457	7	eur	eur	PROPN
ejpam-6225	457	8	.	.	PUNCT
ejpam-6225	458	1	j.	j.	PROPN
ejpam-6225	458	2	pure	pure	PROPN
ejpam-6225	458	3	appl	appl	PROPN
ejpam-6225	458	4	.	.	PROPN
ejpam-6225	458	5	math	math	PROPN
ejpam-6225	458	6	,	,	PUNCT
ejpam-6225	458	7	18	18	NUM
ejpam-6225	458	8	(	(	PUNCT
ejpam-6225	458	9	4	4	NUM
ejpam-6225	458	10	)	)	PUNCT
ejpam-6225	458	11	(	(	PUNCT
ejpam-6225	458	12	2025	2025	NUM
ejpam-6225	458	13	)	)	PUNCT
ejpam-6225	458	14	,	,	PUNCT
ejpam-6225	458	15	6225	6225	NUM
ejpam-6225	458	16	13	13	NUM
ejpam-6225	458	17	of	of	ADP
ejpam-6225	458	18	36	36	NUM
ejpam-6225	458	19	(	(	PUNCT
ejpam-6225	458	20	1	1	NUM
ejpam-6225	458	21	)	)	PUNCT
ejpam-6225	458	22	let	let	VERB
ejpam-6225	458	23	ג	ג	X
ejpam-6225	458	24	/∈	/∈	PUNCT
ejpam-6225	458	25	sf	sf	NOUN
ejpam-6225	458	26	l	l	NOUN
ejpam-6225	458	27	β+(=	β+(=	NOUN
ejpam-6225	458	28	)	)	PUNCT
ejpam-6225	459	1	=	=	PRON
ejpam-6225	459	2	{	{	PUNCT
ejpam-6225	459	3	f(ς	f(ς	PROPN
ejpam-6225	459	4	)	)	PUNCT
ejpam-6225	459	5	,	,	PUNCT
ejpam-6225	459	6	ς	ς	PROPN
ejpam-6225	459	7	∈	∈	PROPN
ejpam-6225	459	8	℘	℘	PROPN
ejpam-6225	459	9	:	:	PUNCT
ejpam-6225	459	10	f(ς	f(ς	PROPN
ejpam-6225	459	11	)	)	PUNCT
ejpam-6225	459	12	∩	∩	NOUN
ejpam-6225	459	13	=	=	SYM
ejpam-6225	459	14	/∈	/∈	PUNCT
ejpam-6225	459	15	l	l	NOUN
ejpam-6225	459	16	}	}	PUNCT
ejpam-6225	459	17	.	.	PUNCT
ejpam-6225	460	1	then	then	ADV
ejpam-6225	460	2	,	,	PUNCT
ejpam-6225	460	3	for	for	ADP
ejpam-6225	460	4	all	all	DET
ejpam-6225	460	5	e	e	PROPN
ejpam-6225	460	6	∈	∈	PROPN
ejpam-6225	460	7	℘	℘	PROPN
ejpam-6225	460	8	,	,	PUNCT
ejpam-6225	460	9	we	we	PRON
ejpam-6225	460	10	have	have	VERB
ejpam-6225	460	11	f(ς	f(ς	NOUN
ejpam-6225	460	12	)	)	PUNCT
ejpam-6225	460	13	∩	∩	NOUN
ejpam-6225	460	14	=	=	SYM
ejpam-6225	460	15	∈	∈	PROPN
ejpam-6225	460	16	l	l	NOUN
ejpam-6225	460	17	.	.	PUNCT
ejpam-6225	461	1	so	so	ADV
ejpam-6225	461	2	,	,	PUNCT
ejpam-6225	461	3	ג	ג	PROPN
ejpam-6225	461	4	∈	∈	PROPN
ejpam-6225	461	5	(	(	PUNCT
ejpam-6225	461	6	srl	srl	PROPN
ejpam-6225	461	7	β+	β+	PUNCT
ejpam-6225	461	8	(=	(=	ADJ
ejpam-6225	461	9	c	c	NOUN
ejpam-6225	461	10	)	)	PUNCT
ejpam-6225	461	11	)	)	PUNCT
ejpam-6225	461	12	.	.	PUNCT
ejpam-6225	462	1	therefore	therefore	ADV
ejpam-6225	462	2	,	,	PUNCT
ejpam-6225	462	3	ג	ג	PROPN
ejpam-6225	462	4	/∈	/∈	PUNCT
ejpam-6225	462	5	(	(	PUNCT
ejpam-6225	462	6	srl	srl	PROPN
ejpam-6225	462	7	β+	β+	PUNCT
ejpam-6225	462	8	(=	(=	NOUN
ejpam-6225	462	9	c	c	NOUN
ejpam-6225	462	10	)	)	PUNCT
ejpam-6225	462	11	)	)	PUNCT
ejpam-6225	463	1	c	c	X
ejpam-6225	463	2	=	=	SYM
ejpam-6225	463	3	sr	sr	PROPN
ejpam-6225	463	4	l	l	NOUN
ejpam-6225	463	5	β+(=	β+(=	PROPN
ejpam-6225	463	6	)	)	PUNCT
ejpam-6225	463	7	.	.	PUNCT
ejpam-6225	464	1	consequently	consequently	ADV
ejpam-6225	464	2	,	,	PUNCT
ejpam-6225	464	3	sr	sr	PROPN
ejpam-6225	464	4	l	l	PROPN
ejpam-6225	464	5	β+(=	β+(=	PROPN
ejpam-6225	464	6	)	)	PUNCT
ejpam-6225	464	7	⊆	⊆	NUM
ejpam-6225	464	8	sf	sf	PROPN
ejpam-6225	464	9	l	l	PROPN
ejpam-6225	464	10	β+(=	β+(=	PROPN
ejpam-6225	464	11	)	)	PUNCT
ejpam-6225	464	12	.	.	PUNCT
ejpam-6225	465	1	(	(	PUNCT
ejpam-6225	465	2	2	2	X
ejpam-6225	465	3	)	)	PUNCT
ejpam-6225	465	4	assume	assume	VERB
ejpam-6225	465	5	that	that	SCONJ
ejpam-6225	465	6	ג	ג	PROPN
ejpam-6225	465	7	/∈	/∈	PUNCT
ejpam-6225	465	8	sfl	sfl	PROPN
ejpam-6225	465	9	β−(=	β−(=	NOUN
ejpam-6225	465	10	)	)	PUNCT
ejpam-6225	465	11	=	=	PRON
ejpam-6225	465	12	{	{	PUNCT
ejpam-6225	465	13	g(¬ς	g(¬ς	NOUN
ejpam-6225	465	14	)	)	PUNCT
ejpam-6225	465	15	,	,	PUNCT
ejpam-6225	465	16	¬ς	¬ς	NOUN
ejpam-6225	465	17	∈	∈	PROPN
ejpam-6225	465	18	ℵ	ℵ	X
ejpam-6225	465	19	:	:	PUNCT
ejpam-6225	465	20	g(¬ς)∩	g(¬ς)∩	NOUN
ejpam-6225	465	21	=	=	X
ejpam-6225	465	22	c	c	NOUN
ejpam-6225	465	23	/∈	/∈	PUNCT
ejpam-6225	466	1	l	l	NOUN
ejpam-6225	466	2	}	}	PUNCT
ejpam-6225	466	3	.	.	PUNCT
ejpam-6225	467	1	then	then	ADV
ejpam-6225	467	2	,	,	PUNCT
ejpam-6225	467	3	for	for	ADP
ejpam-6225	467	4	all	all	DET
ejpam-6225	467	5	¬ς	¬ς	NOUN
ejpam-6225	467	6	∈	∈	PROPN
ejpam-6225	467	7	ℵ	ℵ	NOUN
ejpam-6225	467	8	,	,	PUNCT
ejpam-6225	467	9	we	we	PRON
ejpam-6225	467	10	have	have	VERB
ejpam-6225	467	11	g(¬ς	g(¬ς	NOUN
ejpam-6225	467	12	)	)	PUNCT
ejpam-6225	467	13	∩	∩	NOUN
ejpam-6225	468	1	=	=	SYM
ejpam-6225	468	2	c	c	NOUN
ejpam-6225	468	3	∈	∈	PROPN
ejpam-6225	468	4	l	l	NOUN
ejpam-6225	468	5	.	.	PUNCT
ejpam-6225	469	1	therefore	therefore	ADV
ejpam-6225	469	2	,	,	PUNCT
ejpam-6225	469	3	ג	ג	PROPN
ejpam-6225	469	4	∈	∈	PROPN
ejpam-6225	469	5	sr	sr	PROPN
ejpam-6225	469	6	l	l	NOUN
ejpam-6225	469	7	β−	β−	PUNCT
ejpam-6225	470	1	(=	(=	ADJ
ejpam-6225	470	2	c	c	NOUN
ejpam-6225	470	3	)	)	PUNCT
ejpam-6225	470	4	.	.	PUNCT
ejpam-6225	471	1	thus	thus	ADV
ejpam-6225	471	2	,	,	PUNCT
ejpam-6225	471	3	ג	ג	PROPN
ejpam-6225	471	4	/∈	/∈	PUNCT
ejpam-6225	471	5	(	(	PUNCT
ejpam-6225	471	6	sr	sr	PROPN
ejpam-6225	471	7	l	l	NOUN
ejpam-6225	471	8	β−	β−	PUNCT
ejpam-6225	472	1	(=	(=	ADJ
ejpam-6225	472	2	c	c	NOUN
ejpam-6225	472	3	)	)	PUNCT
ejpam-6225	472	4	)	)	PUNCT
ejpam-6225	473	1	c	c	X
ejpam-6225	473	2	=	=	SYM
ejpam-6225	473	3	srl	srl	PROPN
ejpam-6225	473	4	β−(=	β−(=	NOUN
ejpam-6225	473	5	)	)	PUNCT
ejpam-6225	473	6	.	.	PUNCT
ejpam-6225	474	1	hence	hence	ADV
ejpam-6225	474	2	,	,	PUNCT
ejpam-6225	474	3	srl	srl	PROPN
ejpam-6225	474	4	β−(=	β−(=	PROPN
ejpam-6225	474	5	)	)	PUNCT
ejpam-6225	474	6	⊆	⊆	NUM
ejpam-6225	474	7	sfl	sfl	PROPN
ejpam-6225	474	8	β−(=	β−(=	NOUN
ejpam-6225	474	9	)	)	PUNCT
ejpam-6225	474	10	.	.	PUNCT
ejpam-6225	475	1	remark	remark	PROPN
ejpam-6225	475	2	3.6	3.6	NUM
ejpam-6225	475	3	.	.	PUNCT
ejpam-6225	476	1	the	the	DET
ejpam-6225	476	2	previous	previous	ADJ
ejpam-6225	476	3	proposition	proposition	NOUN
ejpam-6225	476	4	indicates	indicate	VERB
ejpam-6225	476	5	that	that	SCONJ
ejpam-6225	476	6	the	the	DET
ejpam-6225	476	7	ideal	ideal	ADJ
ejpam-6225	476	8	soft	soft	ADJ
ejpam-6225	476	9	upper	upper	ADJ
ejpam-6225	476	10	pa	pa	NOUN
ejpam-6225	476	11	of	of	ADP
ejpam-6225	476	12	=	=	SYM
ejpam-6225	476	13	⊆	⊆	NUM
ejpam-6225	476	14	q	q	NOUN
ejpam-6225	476	15	in	in	ADP
ejpam-6225	476	16	[	[	NOUN
ejpam-6225	476	17	35	35	NUM
ejpam-6225	476	18	]	]	PUNCT
ejpam-6225	476	19	is	be	AUX
ejpam-6225	476	20	finer	fine	ADJ
ejpam-6225	476	21	than	than	ADP
ejpam-6225	476	22	our	our	PRON
ejpam-6225	476	23	ideal	ideal	ADJ
ejpam-6225	476	24	soft	soft	ADJ
ejpam-6225	476	25	βl	βl	NOUN
ejpam-6225	476	26	-upper	-upper	NOUN
ejpam-6225	476	27	pa	pa	PROPN
ejpam-6225	476	28	of	of	ADP
ejpam-6225	476	29	x	x	PROPN
ejpam-6225	476	30	.	.	PUNCT
ejpam-6225	477	1	similarly	similarly	ADV
ejpam-6225	477	2	,	,	PUNCT
ejpam-6225	477	3	the	the	DET
ejpam-6225	477	4	ideal	ideal	NOUN
ejpam-6225	477	5	soft	soft	ADJ
ejpam-6225	477	6	lower	low	ADJ
ejpam-6225	477	7	na	na	NOUN
ejpam-6225	477	8	of	of	ADP
ejpam-6225	477	9	=	=	PUNCT
ejpam-6225	477	10	⊆	⊆	NUM
ejpam-6225	477	11	q	q	NOUN
ejpam-6225	477	12	in	in	ADP
ejpam-6225	477	13	[	[	NOUN
ejpam-6225	477	14	35	35	NUM
ejpam-6225	477	15	]	]	PUNCT
ejpam-6225	477	16	is	be	AUX
ejpam-6225	477	17	finer	fine	ADJ
ejpam-6225	477	18	than	than	ADP
ejpam-6225	477	19	the	the	DET
ejpam-6225	477	20	ideal	ideal	ADJ
ejpam-6225	477	21	soft	soft	ADJ
ejpam-6225	477	22	βl	βl	ADP
ejpam-6225	477	23	-lower	-lower	NOUN
ejpam-6225	477	24	na	na	NOUN
ejpam-6225	477	25	of	of	ADP
ejpam-6225	477	26	=	=	PUNCT
ejpam-6225	477	27	⊆	⊆	NUM
ejpam-6225	477	28	q	q	NOUN
ejpam-6225	477	29	.	.	PUNCT
ejpam-6225	478	1	the	the	DET
ejpam-6225	478	2	coming	come	VERB
ejpam-6225	478	3	example	example	NOUN
ejpam-6225	478	4	shows	show	VERB
ejpam-6225	478	5	that	that	SCONJ
ejpam-6225	478	6	the	the	DET
ejpam-6225	478	7	inclusions	inclusion	NOUN
ejpam-6225	478	8	in	in	ADP
ejpam-6225	478	9	parts	part	NOUN
ejpam-6225	478	10	(	(	PUNCT
ejpam-6225	478	11	1	1	NUM
ejpam-6225	478	12	)	)	PUNCT
ejpam-6225	478	13	and	and	CCONJ
ejpam-6225	478	14	(	(	PUNCT
ejpam-6225	478	15	2	2	X
ejpam-6225	478	16	)	)	PUNCT
ejpam-6225	478	17	of	of	ADP
ejpam-6225	478	18	the	the	DET
ejpam-6225	478	19	above	above	ADJ
ejpam-6225	478	20	proposition	proposition	NOUN
ejpam-6225	478	21	may	may	AUX
ejpam-6225	478	22	strictly	strictly	ADV
ejpam-6225	478	23	hold	hold	VERB
ejpam-6225	478	24	.	.	PUNCT
ejpam-6225	479	1	example	example	NOUN
ejpam-6225	479	2	3.4	3.4	NUM
ejpam-6225	479	3	.	.	PUNCT
ejpam-6225	480	1	let	let	VERB
ejpam-6225	480	2	βl	βl	VERB
ejpam-6225	481	1	=	=	PUNCT
ejpam-6225	482	1	(	(	PUNCT
ejpam-6225	482	2	q	q	ADJ
ejpam-6225	482	3	,	,	PUNCT
ejpam-6225	482	4	(	(	PUNCT
ejpam-6225	482	5	f	f	X
ejpam-6225	482	6	,	,	PUNCT
ejpam-6225	482	7	g	g	NOUN
ejpam-6225	482	8	:	:	PUNCT
ejpam-6225	482	9	℘	℘	NUM
ejpam-6225	482	10	)	)	PUNCT
ejpam-6225	482	11	,	,	PUNCT
ejpam-6225	482	12	l	l	NOUN
ejpam-6225	482	13	)	)	PUNCT
ejpam-6225	482	14	be	be	AUX
ejpam-6225	482	15	ibsa	ibsa	NOUN
ejpam-6225	482	16	-	-	PUNCT
ejpam-6225	482	17	space	space	NOUN
ejpam-6225	482	18	,	,	PUNCT
ejpam-6225	482	19	where	where	SCONJ
ejpam-6225	482	20	q	q	NOUN
ejpam-6225	482	21	=	=	X
ejpam-6225	482	22	,	,	PUNCT
ejpam-6225	482	23	1ג	1ג	NUM
ejpam-6225	482	24	}	}	PUNCT
ejpam-6225	482	25	,	,	PUNCT
ejpam-6225	482	26	2ג	2ג	NUM
ejpam-6225	482	27	,	,	PUNCT
ejpam-6225	482	28	3ג	3ג	NUM
ejpam-6225	482	29	,	,	PUNCT
ejpam-6225	482	30	4ג	4ג	NOUN
ejpam-6225	482	31	{	{	PUNCT
ejpam-6225	482	32	5ג	5ג	NOUN
ejpam-6225	482	33	and	and	CCONJ
ejpam-6225	482	34	℘	℘	PROPN
ejpam-6225	482	35	=	=	SYM
ejpam-6225	482	36	{	{	PUNCT
ejpam-6225	482	37	ς1	ς1	NOUN
ejpam-6225	482	38	,	,	PUNCT
ejpam-6225	482	39	ς2	ς2	PROPN
ejpam-6225	482	40	,	,	PUNCT
ejpam-6225	482	41	ς3	ς3	NOUN
ejpam-6225	482	42	,	,	PUNCT
ejpam-6225	482	43	ς4	ς4	PROPN
ejpam-6225	482	44	,	,	PUNCT
ejpam-6225	482	45	ς5	ς5	NOUN
ejpam-6225	482	46	,	,	PUNCT
ejpam-6225	482	47	ς6	ς6	NOUN
ejpam-6225	482	48	}	}	PUNCT
ejpam-6225	482	49	.	.	PUNCT
ejpam-6225	483	1	the	the	DET
ejpam-6225	483	2	maps	maps	PROPN
ejpam-6225	483	3	f	f	PROPN
ejpam-6225	483	4	and	and	CCONJ
ejpam-6225	483	5	g	g	PROPN
ejpam-6225	483	6	are	be	AUX
ejpam-6225	483	7	as	as	ADV
ejpam-6225	483	8	follow	follow	VERB
ejpam-6225	483	9	:	:	PUNCT
ejpam-6225	483	10	f	f	X
ejpam-6225	483	11	:	:	PUNCT
ejpam-6225	483	12	℘	℘	VERB
ejpam-6225	483	13	−→	−→	NOUN
ejpam-6225	483	14	2q	2q	NOUN
ejpam-6225	483	15	,	,	PUNCT
ejpam-6225	483	16	ς	ς	PROPN
ejpam-6225	483	17	7→	7→	NUM
ejpam-6225	483	18			NUM
ejpam-6225	483	19	,	,	PUNCT
ejpam-6225	483	20	1ג	1ג	NUM
ejpam-6225	483	21	}	}	PUNCT
ejpam-6225	483	22	{	{	PUNCT
ejpam-6225	483	23	3ג	3ג	NUM
ejpam-6225	483	24	,	,	PUNCT
ejpam-6225	483	25	if	if	SCONJ
ejpam-6225	483	26	ς	ς	PROPN
ejpam-6225	483	27	=	=	SYM
ejpam-6225	483	28	ς1	ς1	NOUN
ejpam-6225	483	29	,	,	PUNCT
ejpam-6225	483	30	1ג	1ג	NUM
ejpam-6225	483	31	}	}	PUNCT
ejpam-6225	483	32	,	,	PUNCT
ejpam-6225	483	33	4ג	4ג	NOUN
ejpam-6225	483	34	{	{	PUNCT
ejpam-6225	483	35	5ג	5ג	NOUN
ejpam-6225	483	36	,	,	PUNCT
ejpam-6225	483	37	if	if	SCONJ
ejpam-6225	483	38	ς	ς	PROPN
ejpam-6225	483	39	=	=	SYM
ejpam-6225	483	40	ς2	ς2	PROPN
ejpam-6225	483	41	{	{	PUNCT
ejpam-6225	483	42	2ג	2ג	NOUN
ejpam-6225	483	43	}	}	PUNCT
ejpam-6225	483	44	,	,	PUNCT
ejpam-6225	483	45	if	if	SCONJ
ejpam-6225	483	46	ς	ς	PROPN
ejpam-6225	483	47	=	=	SYM
ejpam-6225	483	48	ς3	ς3	NOUN
ejpam-6225	483	49	,	,	PUNCT
ejpam-6225	483	50	2ג	2ג	NUM
ejpam-6225	483	51	}	}	PUNCT
ejpam-6225	483	52	,	,	PUNCT
ejpam-6225	483	53	4ג	4ג	NOUN
ejpam-6225	483	54	{	{	PUNCT
ejpam-6225	483	55	5ג	5ג	NOUN
ejpam-6225	483	56	,	,	PUNCT
ejpam-6225	483	57	if	if	SCONJ
ejpam-6225	483	58	ς	ς	PROPN
ejpam-6225	483	59	=	=	SYM
ejpam-6225	483	60	ς4	ς4	PROPN
ejpam-6225	483	61	,	,	PUNCT
ejpam-6225	483	62	1ג	1ג	NUM
ejpam-6225	483	63	}	}	PUNCT
ejpam-6225	483	64	{	{	PUNCT
ejpam-6225	483	65	2ג	2ג	NOUN
ejpam-6225	483	66	,	,	PUNCT
ejpam-6225	483	67	if	if	SCONJ
ejpam-6225	483	68	ς	ς	PROPN
ejpam-6225	483	69	=	=	SYM
ejpam-6225	483	70	ς5	ς5	PROPN
ejpam-6225	483	71	,	,	PUNCT
ejpam-6225	483	72	3ג	3ג	NOUN
ejpam-6225	483	73	}	}	PUNCT
ejpam-6225	483	74	{	{	PUNCT
ejpam-6225	483	75	5ג	5ג	NOUN
ejpam-6225	483	76	,	,	PUNCT
ejpam-6225	483	77	if	if	SCONJ
ejpam-6225	483	78	ς	ς	PROPN
ejpam-6225	483	79	=	=	PUNCT
ejpam-6225	483	80	ς6	ς6	PROPN
ejpam-6225	483	81	and	and	CCONJ
ejpam-6225	483	82	g	g	PROPN
ejpam-6225	483	83	:	:	PUNCT
ejpam-6225	483	84	ℵ	ℵ	X
ejpam-6225	483	85	−→	−→	NOUN
ejpam-6225	483	86	2q	2q	NOUN
ejpam-6225	483	87	,	,	PUNCT
ejpam-6225	483	88	¬ς	¬ς	PROPN
ejpam-6225	483	89	7→	7→	NUM
ejpam-6225	483	90			NUM
ejpam-6225	483	91	,	,	PUNCT
ejpam-6225	483	92	2ג	2ג	NUM
ejpam-6225	483	93	}	}	PUNCT
ejpam-6225	483	94	{	{	PUNCT
ejpam-6225	483	95	5ג	5ג	NOUN
ejpam-6225	483	96	,	,	PUNCT
ejpam-6225	483	97	if	if	SCONJ
ejpam-6225	483	98	¬ς	¬ς	NOUN
ejpam-6225	483	99	=	=	SYM
ejpam-6225	483	100	¬ς1	¬ς1	ADV
ejpam-6225	483	101	,	,	PUNCT
ejpam-6225	483	102	{	{	PUNCT
ejpam-6225	483	103	3ג	3ג	NOUN
ejpam-6225	483	104	}	}	PUNCT
ejpam-6225	483	105	,	,	PUNCT
ejpam-6225	483	106	if	if	SCONJ
ejpam-6225	483	107	¬ς	¬ς	NOUN
ejpam-6225	483	108	=	=	PUNCT
ejpam-6225	483	109	¬ς2	¬ς2	NOUN
ejpam-6225	483	110	,	,	PUNCT
ejpam-6225	483	111	,	,	PUNCT
ejpam-6225	483	112	3ג	3ג	NOUN
ejpam-6225	483	113	}	}	PUNCT
ejpam-6225	483	114	,	,	PUNCT
ejpam-6225	483	115	4ג	4ג	NOUN
ejpam-6225	483	116	{	{	PUNCT
ejpam-6225	483	117	5ג	5ג	NOUN
ejpam-6225	483	118	,	,	PUNCT
ejpam-6225	483	119	if	if	SCONJ
ejpam-6225	483	120	¬ς	¬ς	NOUN
ejpam-6225	483	121	=	=	SYM
ejpam-6225	483	122	¬ς3	¬ς3	NOUN
ejpam-6225	483	123	,	,	PUNCT
ejpam-6225	483	124	,	,	PUNCT
ejpam-6225	483	125	1ג	1ג	NOUN
ejpam-6225	483	126	}	}	PUNCT
ejpam-6225	483	127	{	{	PUNCT
ejpam-6225	483	128	3ג	3ג	NUM
ejpam-6225	483	129	,	,	PUNCT
ejpam-6225	483	130	if	if	SCONJ
ejpam-6225	483	131	¬ς	¬ς	NOUN
ejpam-6225	483	132	=	=	SYM
ejpam-6225	483	133	¬ς4	¬ς4	NOUN
ejpam-6225	483	134	,	,	PUNCT
ejpam-6225	483	135	{	{	PUNCT
ejpam-6225	483	136	5ג	5ג	NOUN
ejpam-6225	483	137	}	}	PUNCT
ejpam-6225	483	138	,	,	PUNCT
ejpam-6225	483	139	if	if	SCONJ
ejpam-6225	483	140	¬ς	¬ς	NOUN
ejpam-6225	483	141	=	=	NOUN
ejpam-6225	483	142	¬ς5	¬ς5	NOUN
ejpam-6225	483	143	,	,	PUNCT
ejpam-6225	483	144	,	,	PUNCT
ejpam-6225	483	145	2ג	2ג	NUM
ejpam-6225	483	146	}	}	PUNCT
ejpam-6225	483	147	{	{	PUNCT
ejpam-6225	483	148	4ג	4ג	NOUN
ejpam-6225	483	149	,	,	PUNCT
ejpam-6225	483	150	if	if	SCONJ
ejpam-6225	483	151	¬ς	¬ς	NOUN
ejpam-6225	483	152	=	=	SYM
ejpam-6225	483	153	¬ς6	¬ς6	NOUN
ejpam-6225	483	154	.	.	PUNCT
ejpam-6225	484	1	consider	consider	VERB
ejpam-6225	484	2	,	,	PUNCT
ejpam-6225	484	3	l	l	NOUN
ejpam-6225	484	4	=	=	SYM
ejpam-6225	484	5	{	{	PUNCT
ejpam-6225	484	6	∅	∅	NOUN
ejpam-6225	484	7	,	,	PUNCT
ejpam-6225	484	8	,	,	PUNCT
ejpam-6225	484	9	{	{	PUNCT
ejpam-6225	484	10	1ג	1ג	NOUN
ejpam-6225	484	11	}	}	PUNCT
ejpam-6225	484	12	,	,	PUNCT
ejpam-6225	484	13	{	{	PUNCT
ejpam-6225	484	14	2ג	2ג	NOUN
ejpam-6225	484	15	}	}	PUNCT
ejpam-6225	484	16	,	,	PUNCT
ejpam-6225	484	17	1ג	1ג	NOUN
ejpam-6225	484	18	}	}	PUNCT
ejpam-6225	484	19	.{{2ג	.{{2ג	PUNCT
ejpam-6225	485	1	if	if	SCONJ
ejpam-6225	485	2	we	we	PRON
ejpam-6225	485	3	take	take	VERB
ejpam-6225	485	4	=	=	NOUN
ejpam-6225	485	5	=	=	NOUN
ejpam-6225	485	6	,	,	PUNCT
ejpam-6225	485	7	1ג	1ג	NUM
ejpam-6225	485	8	}	}	PUNCT
ejpam-6225	485	9	,	,	PUNCT
ejpam-6225	485	10	3ג	3ג	NUM
ejpam-6225	485	11	.{5ג	.{5ג	X
ejpam-6225	486	1	then	then	ADV
ejpam-6225	486	2	,	,	PUNCT
ejpam-6225	486	3	sr	sr	PROPN
ejpam-6225	486	4	l	l	PROPN
ejpam-6225	486	5	β+(=	β+(=	PROPN
ejpam-6225	486	6	)	)	PUNCT
ejpam-6225	487	1	=	=	NOUN
ejpam-6225	487	2	,	,	PUNCT
ejpam-6225	487	3	3ג	3ג	NOUN
ejpam-6225	487	4	}	}	PUNCT
ejpam-6225	487	5	,	,	PUNCT
ejpam-6225	487	6	4ג	4ג	NOUN
ejpam-6225	487	7	{	{	PUNCT
ejpam-6225	487	8	5ג	5ג	NOUN
ejpam-6225	487	9	sf	sf	NOUN
ejpam-6225	487	10	l	l	NOUN
ejpam-6225	487	11	β+(=	β+(=	NOUN
ejpam-6225	487	12	)	)	PUNCT
ejpam-6225	488	1	=	=	SYM
ejpam-6225	488	2	,	,	PUNCT
ejpam-6225	488	3	1ג	1ג	NUM
ejpam-6225	488	4	}	}	PUNCT
ejpam-6225	488	5	,	,	PUNCT
ejpam-6225	488	6	2ג	2ג	NUM
ejpam-6225	488	7	,	,	PUNCT
ejpam-6225	488	8	3ג	3ג	NUM
ejpam-6225	488	9	,	,	PUNCT
ejpam-6225	488	10	4ג	4ג	NOUN
ejpam-6225	488	11	{	{	PUNCT
ejpam-6225	488	12	5ג	5ג	NOUN
ejpam-6225	488	13	clearly	clearly	ADV
ejpam-6225	488	14	,	,	PUNCT
ejpam-6225	488	15	sr	sr	PROPN
ejpam-6225	488	16	l	l	PROPN
ejpam-6225	488	17	β+(=	β+(=	PROPN
ejpam-6225	488	18	)	)	PUNCT
ejpam-6225	489	1	⊂	⊂	PROPN
ejpam-6225	489	2	sf	sf	X
ejpam-6225	489	3	l	l	PROPN
ejpam-6225	489	4	β+(=	β+(=	PROPN
ejpam-6225	489	5	)	)	PUNCT
ejpam-6225	489	6	,	,	PUNCT
ejpam-6225	490	1	which	which	PRON
ejpam-6225	490	2	indicates	indicate	VERB
ejpam-6225	490	3	that	that	SCONJ
ejpam-6225	490	4	the	the	DET
ejpam-6225	490	5	inclusions	inclusion	NOUN
ejpam-6225	490	6	in	in	ADP
ejpam-6225	490	7	part	part	NOUN
ejpam-6225	490	8	(	(	PUNCT
ejpam-6225	490	9	1	1	NUM
ejpam-6225	490	10	)	)	PUNCT
ejpam-6225	490	11	of	of	ADP
ejpam-6225	490	12	proposition	proposition	NOUN
ejpam-6225	490	13	3.3	3.3	NUM
ejpam-6225	490	14	may	may	AUX
ejpam-6225	490	15	strictly	strictly	ADV
ejpam-6225	490	16	hold	hold	VERB
ejpam-6225	490	17	.	.	PUNCT
ejpam-6225	491	1	here	here	ADV
ejpam-6225	491	2	,	,	PUNCT
ejpam-6225	491	3	if	if	SCONJ
ejpam-6225	491	4	=	=	PRON
ejpam-6225	491	5	=	=	NOUN
ejpam-6225	491	6	,	,	PUNCT
ejpam-6225	491	7	3ג	3ג	NOUN
ejpam-6225	491	8	}	}	PUNCT
ejpam-6225	491	9	.{4ג	.{4ג	PUNCT
ejpam-6225	491	10	then	then	ADV
ejpam-6225	491	11	,	,	PUNCT
ejpam-6225	491	12	sfl	sfl	PROPN
ejpam-6225	491	13	β−(=	β−(=	PROPN
ejpam-6225	491	14	)	)	PUNCT
ejpam-6225	491	15	=	=	SYM
ejpam-6225	491	16	,	,	PUNCT
ejpam-6225	491	17	2ג	2ג	NUM
ejpam-6225	491	18	}	}	PUNCT
ejpam-6225	491	19	,	,	PUNCT
ejpam-6225	491	20	3ג	3ג	NUM
ejpam-6225	491	21	,	,	PUNCT
ejpam-6225	491	22	4ג	4ג	NOUN
ejpam-6225	491	23	{	{	PUNCT
ejpam-6225	491	24	5ג	5ג	NOUN
ejpam-6225	491	25	srl	srl	PROPN
ejpam-6225	491	26	β−(=	β−(=	NOUN
ejpam-6225	491	27	)	)	PUNCT
ejpam-6225	491	28	=	=	PRON
ejpam-6225	491	29	{	{	PUNCT
ejpam-6225	491	30	5ג	5ג	NOUN
ejpam-6225	491	31	}	}	PUNCT
ejpam-6225	491	32	clearly	clearly	ADV
ejpam-6225	491	33	,	,	PUNCT
ejpam-6225	491	34	we	we	PRON
ejpam-6225	491	35	can	can	AUX
ejpam-6225	491	36	see	see	VERB
ejpam-6225	491	37	the	the	DET
ejpam-6225	491	38	following	following	NOUN
ejpam-6225	491	39	:	:	PUNCT
ejpam-6225	491	40	srl	srl	PROPN
ejpam-6225	491	41	β−	β−	PUNCT
ejpam-6225	491	42	⊂	⊂	PROPN
ejpam-6225	491	43	sfl	sfl	PROPN
ejpam-6225	491	44	β−(=	β−(=	NOUN
ejpam-6225	491	45	)	)	PUNCT
ejpam-6225	491	46	,	,	PUNCT
ejpam-6225	491	47	indicating	indicate	VERB
ejpam-6225	491	48	that	that	SCONJ
ejpam-6225	491	49	the	the	DET
ejpam-6225	491	50	inclusion	inclusion	NOUN
ejpam-6225	491	51	in	in	ADP
ejpam-6225	491	52	part	part	NOUN
ejpam-6225	491	53	(	(	PUNCT
ejpam-6225	491	54	2	2	NUM
ejpam-6225	491	55	)	)	PUNCT
ejpam-6225	491	56	of	of	ADP
ejpam-6225	491	57	proposition	proposition	NOUN
ejpam-6225	491	58	3.3	3.3	NUM
ejpam-6225	491	59	might	might	AUX
ejpam-6225	491	60	be	be	AUX
ejpam-6225	491	61	strict	strict	ADJ
ejpam-6225	491	62	.	.	PUNCT
ejpam-6225	492	1	theorem	theorem	VERB
ejpam-6225	492	2	3.4	3.4	NUM
ejpam-6225	492	3	.	.	PUNCT
ejpam-6225	493	1	let	let	VERB
ejpam-6225	493	2	b	b	NOUN
ejpam-6225	493	3	=	=	SYM
ejpam-6225	493	4	(	(	PUNCT
ejpam-6225	493	5	f	f	X
ejpam-6225	493	6	,	,	PUNCT
ejpam-6225	493	7	g	g	NOUN
ejpam-6225	493	8	:	:	PUNCT
ejpam-6225	493	9	℘	℘	PROPN
ejpam-6225	493	10	)	)	PUNCT
ejpam-6225	493	11	∈	∈	PROPN
ejpam-6225	493	12	bssq	bssq	NOUN
ejpam-6225	493	13	and	and	CCONJ
ejpam-6225	493	14	βl	βl	NOUN
ejpam-6225	493	15	=	=	PUNCT
ejpam-6225	493	16	(	(	PUNCT
ejpam-6225	493	17	q	q	ADJ
ejpam-6225	493	18	,	,	PUNCT
ejpam-6225	493	19	(	(	PUNCT
ejpam-6225	493	20	f	f	X
ejpam-6225	493	21	,	,	PUNCT
ejpam-6225	493	22	g	g	NOUN
ejpam-6225	493	23	:	:	PUNCT
ejpam-6225	493	24	℘	℘	NUM
ejpam-6225	493	25	)	)	PUNCT
ejpam-6225	493	26	,	,	PUNCT
ejpam-6225	493	27	l	l	NOUN
ejpam-6225	493	28	)	)	PUNCT
ejpam-6225	493	29	be	be	AUX
ejpam-6225	493	30	ibsa	ibsa	NOUN
ejpam-6225	493	31	-	-	PUNCT
ejpam-6225	493	32	space	space	NOUN
ejpam-6225	493	33	and	and	CCONJ
ejpam-6225	493	34	=	=	SYM
ejpam-6225	493	35	⊆	⊆	NUM
ejpam-6225	493	36	q.	q.	NOUN
ejpam-6225	493	37	then	then	ADV
ejpam-6225	493	38	,	,	PUNCT
ejpam-6225	493	39	the	the	DET
ejpam-6225	493	40	following	follow	VERB
ejpam-6225	493	41	properties	property	NOUN
ejpam-6225	493	42	hold	hold	VERB
ejpam-6225	493	43	.	.	PUNCT
ejpam-6225	494	1	(	(	PUNCT
ejpam-6225	494	2	1	1	X
ejpam-6225	494	3	)	)	PUNCT
ejpam-6225	494	4	sr	sr	PROPN
ejpam-6225	494	5	l	l	NOUN
ejpam-6225	494	6	β−	β−	PROPN
ejpam-6225	495	1	(	(	PUNCT
ejpam-6225	495	2	srl	srl	PROPN
ejpam-6225	495	3	β−(=	β−(=	PROPN
ejpam-6225	495	4	)	)	PUNCT
ejpam-6225	495	5	)	)	PUNCT
ejpam-6225	496	1	=	=	PUNCT
ejpam-6225	496	2	(	(	PUNCT
ejpam-6225	496	3	srl	srl	PROPN
ejpam-6225	496	4	β−(=	β−(=	PROPN
ejpam-6225	496	5	)	)	PUNCT
ejpam-6225	496	6	)	)	PUNCT
ejpam-6225	497	1	c	c	NOUN
ejpam-6225	497	2	;	;	PUNCT
ejpam-6225	497	3	(	(	PUNCT
ejpam-6225	497	4	2	2	X
ejpam-6225	497	5	)	)	PUNCT
ejpam-6225	497	6	srl	srl	PROPN
ejpam-6225	497	7	β−	β−	PROPN
ejpam-6225	498	1	(	(	PUNCT
ejpam-6225	498	2	sr	sr	PROPN
ejpam-6225	498	3	l	l	PROPN
ejpam-6225	498	4	β−(=	β−(=	PROPN
ejpam-6225	498	5	)	)	PUNCT
ejpam-6225	498	6	)	)	PUNCT
ejpam-6225	499	1	=	=	PRON
ejpam-6225	499	2	(	(	PUNCT
ejpam-6225	499	3	sr	sr	PROPN
ejpam-6225	499	4	l	l	PROPN
ejpam-6225	499	5	β−(=	β−(=	PROPN
ejpam-6225	499	6	)	)	PUNCT
ejpam-6225	499	7	)	)	PUNCT
ejpam-6225	500	1	c	c	NOUN
ejpam-6225	500	2	;	;	PUNCT
ejpam-6225	500	3	(	(	PUNCT
ejpam-6225	500	4	3	3	X
ejpam-6225	500	5	)	)	PUNCT
ejpam-6225	500	6	sr	sr	NOUN
ejpam-6225	500	7	l	l	NOUN
ejpam-6225	500	8	β−	β−	PROPN
ejpam-6225	501	1	(	(	PUNCT
ejpam-6225	501	2	sr	sr	PROPN
ejpam-6225	501	3	l	l	PROPN
ejpam-6225	501	4	β−(=	β−(=	PROPN
ejpam-6225	501	5	)	)	PUNCT
ejpam-6225	501	6	)	)	PUNCT
ejpam-6225	502	1	⊆	⊆	NUM
ejpam-6225	502	2	(	(	PUNCT
ejpam-6225	502	3	sr	sr	PROPN
ejpam-6225	502	4	l	l	PROPN
ejpam-6225	502	5	β−(=	β−(=	PROPN
ejpam-6225	502	6	)	)	PUNCT
ejpam-6225	502	7	)	)	PUNCT
ejpam-6225	503	1	c	c	NOUN
ejpam-6225	503	2	.	.	PUNCT
ejpam-6225	504	1	d.	d.	PROPN
ejpam-6225	504	2	shi	shi	PROPN
ejpam-6225	504	3	et	et	PROPN
ejpam-6225	504	4	al	al	PROPN
ejpam-6225	504	5	.	.	PUNCT
ejpam-6225	504	6	/	/	SYM
ejpam-6225	504	7	eur	eur	PROPN
ejpam-6225	504	8	.	.	PUNCT
ejpam-6225	505	1	j.	j.	PROPN
ejpam-6225	505	2	pure	pure	PROPN
ejpam-6225	505	3	appl	appl	PROPN
ejpam-6225	505	4	.	.	PROPN
ejpam-6225	505	5	math	math	PROPN
ejpam-6225	505	6	,	,	PUNCT
ejpam-6225	505	7	18	18	NUM
ejpam-6225	505	8	(	(	PUNCT
ejpam-6225	505	9	4	4	NUM
ejpam-6225	505	10	)	)	PUNCT
ejpam-6225	505	11	(	(	PUNCT
ejpam-6225	505	12	2025	2025	NUM
ejpam-6225	505	13	)	)	PUNCT
ejpam-6225	505	14	,	,	PUNCT
ejpam-6225	505	15	6225	6225	NUM
ejpam-6225	505	16	14	14	NUM
ejpam-6225	505	17	of	of	ADP
ejpam-6225	505	18	36	36	NUM
ejpam-6225	505	19	(	(	PUNCT
ejpam-6225	505	20	4	4	NUM
ejpam-6225	505	21	)	)	PUNCT
ejpam-6225	505	22	srl	srl	PROPN
ejpam-6225	505	23	β−	β−	PROPN
ejpam-6225	505	24	(	(	PUNCT
ejpam-6225	505	25	srl	srl	PROPN
ejpam-6225	505	26	β−(=	β−(=	PROPN
ejpam-6225	505	27	)	)	PUNCT
ejpam-6225	505	28	)	)	PUNCT
ejpam-6225	506	1	⊇	⊇	NOUN
ejpam-6225	506	2	(	(	PUNCT
ejpam-6225	506	3	srl	srl	PROPN
ejpam-6225	506	4	β−(=	β−(=	PROPN
ejpam-6225	506	5	)	)	PUNCT
ejpam-6225	506	6	)	)	PUNCT
ejpam-6225	507	1	c	c	NOUN
ejpam-6225	507	2	.	.	PUNCT
ejpam-6225	508	1	proof	proof	NOUN
ejpam-6225	508	2	.	.	PUNCT
ejpam-6225	509	1	(	(	PUNCT
ejpam-6225	509	2	1	1	X
ejpam-6225	509	3	)	)	PUNCT
ejpam-6225	509	4	let	let	VERB
ejpam-6225	509	5	ϑ	ϑ	X
ejpam-6225	509	6	=	=	X
ejpam-6225	509	7	(	(	PUNCT
ejpam-6225	509	8	srl	srl	PROPN
ejpam-6225	509	9	β−(=	β−(=	PROPN
ejpam-6225	509	10	)	)	PUNCT
ejpam-6225	509	11	)	)	PUNCT
ejpam-6225	510	1	c	c	NOUN
ejpam-6225	510	2	and	and	CCONJ
ejpam-6225	510	3	ג	ג	ADP
ejpam-6225	510	4	∈	∈	PROPN
ejpam-6225	510	5	ϑ	ϑ	X
ejpam-6225	510	6	=	=	X
ejpam-6225	510	7	(	(	PUNCT
ejpam-6225	510	8	srl	srl	PROPN
ejpam-6225	510	9	β−(=	β−(=	PROPN
ejpam-6225	510	10	)	)	PUNCT
ejpam-6225	510	11	)	)	PUNCT
ejpam-6225	511	1	c	c	X
ejpam-6225	511	2	=	=	SYM
ejpam-6225	511	3	sr	sr	PROPN
ejpam-6225	511	4	l	l	NOUN
ejpam-6225	511	5	β−	β−	PUNCT
ejpam-6225	512	1	(=	(=	PUNCT
ejpam-6225	512	2	c	c	X
ejpam-6225	512	3	)	)	PUNCT
ejpam-6225	513	1	=	=	SYM
ejpam-6225	513	2	⋃	⋃	NOUN
ejpam-6225	513	3	{	{	PUNCT
ejpam-6225	513	4	g(¬ς	g(¬ς	NOUN
ejpam-6225	513	5	)	)	PUNCT
ejpam-6225	513	6	,	,	PUNCT
ejpam-6225	513	7	¬ς	¬ς	NOUN
ejpam-6225	513	8	∈	∈	PROPN
ejpam-6225	513	9	ℵ	ℵ	NOUN
ejpam-6225	513	10	:	:	PUNCT
ejpam-6225	513	11	g(¬ς	g(¬ς	NOUN
ejpam-6225	513	12	)	)	PUNCT
ejpam-6225	513	13	∩	∩	NOUN
ejpam-6225	513	14	=	=	SYM
ejpam-6225	513	15	c	c	NOUN
ejpam-6225	513	16	∈	∈	NOUN
ejpam-6225	513	17	l	l	NOUN
ejpam-6225	513	18	}	}	PUNCT
ejpam-6225	513	19	.	.	PUNCT
ejpam-6225	514	1	then	then	ADV
ejpam-6225	514	2	,	,	PUNCT
ejpam-6225	514	3	there	there	PRON
ejpam-6225	514	4	exists	exist	VERB
ejpam-6225	514	5	some	some	DET
ejpam-6225	514	6	¬ς	¬ς	NOUN
ejpam-6225	514	7	∈	∈	PROPN
ejpam-6225	514	8	ℵ	ℵ	ADP
ejpam-6225	514	9	such	such	ADJ
ejpam-6225	514	10	that	that	SCONJ
ejpam-6225	514	11	ג	ג	PROPN
ejpam-6225	514	12	∈	∈	PROPN
ejpam-6225	514	13	g(¬ς	g(¬ς	PROPN
ejpam-6225	514	14	)	)	PUNCT
ejpam-6225	514	15	and	and	CCONJ
ejpam-6225	514	16	g(¬ς	g(¬ς	PROPN
ejpam-6225	514	17	)	)	PUNCT
ejpam-6225	514	18	∩	∩	NOUN
ejpam-6225	514	19	ϑc	ϑc	ADP
ejpam-6225	514	20	∈	∈	PROPN
ejpam-6225	514	21	l	l	NOUN
ejpam-6225	514	22	.	.	PUNCT
ejpam-6225	515	1	so	so	ADV
ejpam-6225	515	2	,	,	PUNCT
ejpam-6225	515	3	ג	ג	PROPN
ejpam-6225	515	4	∈	∈	PROPN
ejpam-6225	515	5	sr	sr	PROPN
ejpam-6225	515	6	l	l	NOUN
ejpam-6225	515	7	β−	β−	PROPN
ejpam-6225	515	8	(	(	PUNCT
ejpam-6225	515	9	ϑc	ϑc	NOUN
ejpam-6225	515	10	)	)	PUNCT
ejpam-6225	515	11	=	=	SYM
ejpam-6225	515	12	sr	sr	PROPN
ejpam-6225	516	1	l	l	NOUN
ejpam-6225	516	2	β−	β−	PUNCT
ejpam-6225	517	1	[	[	X
ejpam-6225	517	2	(	(	PUNCT
ejpam-6225	517	3	srl	srl	PROPN
ejpam-6225	517	4	β−(=	β−(=	PROPN
ejpam-6225	517	5	)	)	PUNCT
ejpam-6225	517	6	)	)	PUNCT
ejpam-6225	517	7	c]c	c]c	NOUN
ejpam-6225	517	8	=	=	SYM
ejpam-6225	517	9	sr	sr	PROPN
ejpam-6225	517	10	l	l	NOUN
ejpam-6225	517	11	β−	β−	PROPN
ejpam-6225	518	1	(	(	PUNCT
ejpam-6225	518	2	srl	srl	PROPN
ejpam-6225	518	3	β−(=	β−(=	PROPN
ejpam-6225	518	4	)	)	PUNCT
ejpam-6225	518	5	)	)	PUNCT
ejpam-6225	518	6	.	.	PUNCT
ejpam-6225	519	1	therefore	therefore	ADV
ejpam-6225	519	2	,	,	PUNCT
ejpam-6225	519	3	ג	ג	PROPN
ejpam-6225	519	4	∈	∈	PROPN
ejpam-6225	519	5	sr	sr	PROPN
ejpam-6225	519	6	l	l	NOUN
ejpam-6225	519	7	β−	β−	PROPN
ejpam-6225	520	1	(	(	PUNCT
ejpam-6225	520	2	srl	srl	PROPN
ejpam-6225	520	3	β−(=	β−(=	PROPN
ejpam-6225	520	4	)	)	PUNCT
ejpam-6225	520	5	)	)	PUNCT
ejpam-6225	520	6	.	.	PUNCT
ejpam-6225	521	1	hence	hence	ADV
ejpam-6225	521	2	,	,	PUNCT
ejpam-6225	521	3	ϑ	ϑ	PROPN
ejpam-6225	521	4	⊆	⊆	NUM
ejpam-6225	521	5	sr	sr	PROPN
ejpam-6225	521	6	l	l	NOUN
ejpam-6225	521	7	β−	β−	PROPN
ejpam-6225	521	8	(	(	PUNCT
ejpam-6225	521	9	srl	srl	PROPN
ejpam-6225	521	10	β−(=	β−(=	PROPN
ejpam-6225	521	11	)	)	PUNCT
ejpam-6225	521	12	)	)	PUNCT
ejpam-6225	521	13	.	.	PUNCT
ejpam-6225	522	1	this	this	PRON
ejpam-6225	522	2	implies	imply	VERB
ejpam-6225	522	3	that	that	SCONJ
ejpam-6225	522	4	(	(	PUNCT
ejpam-6225	522	5	srl	srl	PROPN
ejpam-6225	522	6	β−(=	β−(=	PROPN
ejpam-6225	522	7	)	)	PUNCT
ejpam-6225	522	8	)	)	PUNCT
ejpam-6225	523	1	c	c	PROPN
ejpam-6225	523	2	⊆	⊆	NUM
ejpam-6225	523	3	sr	sr	PROPN
ejpam-6225	523	4	l	l	NOUN
ejpam-6225	523	5	β−	β−	PROPN
ejpam-6225	524	1	(	(	PUNCT
ejpam-6225	524	2	srl	srl	PROPN
ejpam-6225	524	3	β−(=	β−(=	PROPN
ejpam-6225	524	4	)	)	PUNCT
ejpam-6225	524	5	)	)	PUNCT
ejpam-6225	524	6	.	.	PUNCT
ejpam-6225	525	1	conversely	conversely	ADV
ejpam-6225	525	2	,	,	PUNCT
ejpam-6225	525	3	let	let	VERB
ejpam-6225	525	4	ג	ג	X
ejpam-6225	525	5	/∈	/∈	VERB
ejpam-6225	525	6	ϑ	ϑ	X
ejpam-6225	525	7	=	=	X
ejpam-6225	525	8	(	(	PUNCT
ejpam-6225	525	9	srl	srl	PROPN
ejpam-6225	525	10	β−(=	β−(=	PROPN
ejpam-6225	525	11	)	)	PUNCT
ejpam-6225	525	12	)	)	PUNCT
ejpam-6225	526	1	c	c	X
ejpam-6225	526	2	=	=	SYM
ejpam-6225	526	3	sr	sr	PROPN
ejpam-6225	526	4	l	l	NOUN
ejpam-6225	526	5	β−	β−	PUNCT
ejpam-6225	527	1	(=	(=	PUNCT
ejpam-6225	527	2	c	c	X
ejpam-6225	527	3	)	)	PUNCT
ejpam-6225	528	1	=	=	SYM
ejpam-6225	528	2	⋃	⋃	NOUN
ejpam-6225	528	3	{	{	PUNCT
ejpam-6225	528	4	g(¬ς	g(¬ς	NOUN
ejpam-6225	528	5	)	)	PUNCT
ejpam-6225	528	6	,	,	PUNCT
ejpam-6225	528	7	¬ς	¬ς	NOUN
ejpam-6225	528	8	∈	∈	PROPN
ejpam-6225	528	9	ℵ	ℵ	NOUN
ejpam-6225	528	10	:	:	PUNCT
ejpam-6225	528	11	g(¬ς)∩=c	g(¬ς)∩=c	PROPN
ejpam-6225	528	12	∈	∈	PROPN
ejpam-6225	528	13	l	l	NOUN
ejpam-6225	528	14	}	}	PUNCT
ejpam-6225	528	15	.	.	PUNCT
ejpam-6225	529	1	then	then	ADV
ejpam-6225	529	2	,	,	PUNCT
ejpam-6225	529	3	for	for	ADP
ejpam-6225	529	4	all	all	DET
ejpam-6225	529	5	¬ς	¬ς	NOUN
ejpam-6225	529	6	∈	∈	PROPN
ejpam-6225	529	7	ℵ	ℵ	VERB
ejpam-6225	529	8	with	with	ADP
ejpam-6225	529	9	ג	ג	PROPN
ejpam-6225	529	10	∈	∈	PROPN
ejpam-6225	529	11	g(¬ς	g(¬ς	PROPN
ejpam-6225	529	12	)	)	PUNCT
ejpam-6225	529	13	,	,	PUNCT
ejpam-6225	529	14	we	we	PRON
ejpam-6225	529	15	have	have	VERB
ejpam-6225	529	16	g(¬ς	g(¬ς	NUM
ejpam-6225	529	17	)	)	PUNCT
ejpam-6225	529	18	∩	∩	NOUN
ejpam-6225	529	19	ϑc	ϑc	NOUN
ejpam-6225	529	20	/∈	/∈	PUNCT
ejpam-6225	529	21	l	l	NOUN
ejpam-6225	529	22	.	.	PUNCT
ejpam-6225	530	1	so	so	ADV
ejpam-6225	530	2	,	,	PUNCT
ejpam-6225	530	3	ג	ג	PROPN
ejpam-6225	530	4	/∈	/∈	PUNCT
ejpam-6225	530	5	sr	sr	PROPN
ejpam-6225	531	1	l	l	NOUN
ejpam-6225	531	2	β−	β−	PROPN
ejpam-6225	532	1	(	(	PUNCT
ejpam-6225	532	2	ϑc	ϑc	NOUN
ejpam-6225	532	3	)	)	PUNCT
ejpam-6225	532	4	=	=	SYM
ejpam-6225	533	1	sr	sr	PROPN
ejpam-6225	533	2	l	l	NOUN
ejpam-6225	533	3	β−	β−	PROPN
ejpam-6225	533	4	(	(	PUNCT
ejpam-6225	533	5	srl	srl	PROPN
ejpam-6225	533	6	β−(=	β−(=	PROPN
ejpam-6225	533	7	)	)	PUNCT
ejpam-6225	533	8	)	)	PUNCT
ejpam-6225	533	9	.	.	PUNCT
ejpam-6225	534	1	therefore	therefore	ADV
ejpam-6225	534	2	,	,	PUNCT
ejpam-6225	534	3	ג	ג	PROPN
ejpam-6225	534	4	/∈	/∈	PUNCT
ejpam-6225	534	5	sr	sr	PROPN
ejpam-6225	534	6	l	l	NOUN
ejpam-6225	534	7	β−	β−	PROPN
ejpam-6225	535	1	(	(	PUNCT
ejpam-6225	535	2	srl	srl	PROPN
ejpam-6225	535	3	β−(=	β−(=	PROPN
ejpam-6225	535	4	)	)	PUNCT
ejpam-6225	535	5	)	)	PUNCT
ejpam-6225	535	6	.	.	PUNCT
ejpam-6225	536	1	hence	hence	ADV
ejpam-6225	536	2	,	,	PUNCT
ejpam-6225	536	3	ϑ	ϑ	PROPN
ejpam-6225	536	4	⊇	⊇	PROPN
ejpam-6225	536	5	sr	sr	PROPN
ejpam-6225	536	6	l	l	PROPN
ejpam-6225	536	7	β−	β−	PROPN
ejpam-6225	537	1	(	(	PUNCT
ejpam-6225	537	2	srl	srl	PROPN
ejpam-6225	537	3	β−(=	β−(=	PROPN
ejpam-6225	537	4	)	)	PUNCT
ejpam-6225	537	5	)	)	PUNCT
ejpam-6225	537	6	.	.	PUNCT
ejpam-6225	538	1	this	this	PRON
ejpam-6225	538	2	implies	imply	VERB
ejpam-6225	538	3	that	that	SCONJ
ejpam-6225	538	4	,	,	PUNCT
ejpam-6225	538	5	(	(	PUNCT
ejpam-6225	538	6	srl	srl	PROPN
ejpam-6225	538	7	β−(=	β−(=	PROPN
ejpam-6225	538	8	)	)	PUNCT
ejpam-6225	538	9	)	)	PUNCT
ejpam-6225	539	1	c	c	PROPN
ejpam-6225	539	2	⊇	⊇	PROPN
ejpam-6225	539	3	sr	sr	PROPN
ejpam-6225	539	4	l	l	PROPN
ejpam-6225	539	5	β−	β−	PROPN
ejpam-6225	539	6	(	(	PUNCT
ejpam-6225	539	7	srl	srl	PROPN
ejpam-6225	539	8	β−(=	β−(=	PROPN
ejpam-6225	539	9	)	)	PUNCT
ejpam-6225	539	10	)	)	PUNCT
ejpam-6225	539	11	.	.	PUNCT
ejpam-6225	540	1	hence	hence	ADV
ejpam-6225	540	2	,	,	PUNCT
ejpam-6225	540	3	sr	sr	PROPN
ejpam-6225	540	4	l	l	PROPN
ejpam-6225	540	5	β−	β−	PROPN
ejpam-6225	540	6	(	(	PUNCT
ejpam-6225	540	7	srl	srl	PROPN
ejpam-6225	540	8	β−(=	β−(=	PROPN
ejpam-6225	540	9	)	)	PUNCT
ejpam-6225	540	10	)	)	PUNCT
ejpam-6225	540	11	⊇	⊇	NOUN
ejpam-6225	540	12	(	(	PUNCT
ejpam-6225	540	13	srl	srl	PROPN
ejpam-6225	540	14	β−(=	β−(=	PROPN
ejpam-6225	540	15	)	)	PUNCT
ejpam-6225	540	16	)	)	PUNCT
ejpam-6225	541	1	c	c	X
ejpam-6225	541	2	.	.	PUNCT
ejpam-6225	542	1	consequently	consequently	ADV
ejpam-6225	542	2	,	,	PUNCT
ejpam-6225	542	3	sr	sr	PROPN
ejpam-6225	542	4	l	l	PROPN
ejpam-6225	542	5	β−	β−	PROPN
ejpam-6225	542	6	(	(	PUNCT
ejpam-6225	542	7	srl	srl	PROPN
ejpam-6225	542	8	β−(=	β−(=	PROPN
ejpam-6225	542	9	)	)	PUNCT
ejpam-6225	542	10	)	)	PUNCT
ejpam-6225	542	11	⊇	⊇	NOUN
ejpam-6225	542	12	(	(	PUNCT
ejpam-6225	542	13	srl	srl	PROPN
ejpam-6225	542	14	β−(=	β−(=	PROPN
ejpam-6225	542	15	)	)	PUNCT
ejpam-6225	542	16	)	)	PUNCT
ejpam-6225	543	1	c	c	NOUN
ejpam-6225	543	2	.	.	PUNCT
ejpam-6225	544	1	(	(	PUNCT
ejpam-6225	544	2	2	2	X
ejpam-6225	544	3	)	)	PUNCT
ejpam-6225	544	4	by	by	ADP
ejpam-6225	544	5	definition	definition	NOUN
ejpam-6225	544	6	3.1	3.1	NUM
ejpam-6225	544	7	,	,	PUNCT
ejpam-6225	544	8	it	it	PRON
ejpam-6225	544	9	follows	follow	VERB
ejpam-6225	544	10	that	that	SCONJ
ejpam-6225	544	11	srl	srl	PROPN
ejpam-6225	544	12	β−	β−	PROPN
ejpam-6225	545	1	(	(	PUNCT
ejpam-6225	545	2	sr	sr	PROPN
ejpam-6225	545	3	l	l	PROPN
ejpam-6225	545	4	β−(=	β−(=	PROPN
ejpam-6225	545	5	)	)	PUNCT
ejpam-6225	545	6	)	)	PUNCT
ejpam-6225	546	1	=	=	PRON
ejpam-6225	546	2	(	(	PUNCT
ejpam-6225	546	3	sr	sr	PROPN
ejpam-6225	546	4	l	l	NOUN
ejpam-6225	546	5	β−	β−	PROPN
ejpam-6225	547	1	(	(	PUNCT
ejpam-6225	547	2	sr	sr	PROPN
ejpam-6225	547	3	l	l	PROPN
ejpam-6225	547	4	β−(=	β−(=	PROPN
ejpam-6225	547	5	)	)	PUNCT
ejpam-6225	547	6	)	)	PUNCT
ejpam-6225	547	7	c)c	c)c	PUNCT
ejpam-6225	548	1	=	=	PUNCT
ejpam-6225	548	2	[	[	PUNCT
ejpam-6225	548	3	sr	sr	PROPN
ejpam-6225	548	4	l	l	NOUN
ejpam-6225	548	5	β−	β−	PROPN
ejpam-6225	549	1	(	(	PUNCT
ejpam-6225	549	2	srl	srl	PROPN
ejpam-6225	549	3	β−	β−	NUM
ejpam-6225	549	4	(=	(=	NOUN
ejpam-6225	549	5	c	c	NOUN
ejpam-6225	549	6	)	)	PUNCT
ejpam-6225	549	7	)	)	PUNCT
ejpam-6225	550	1	]	]	X
ejpam-6225	550	2	c	c	X
ejpam-6225	550	3	by	by	ADP
ejpam-6225	550	4	part	part	NOUN
ejpam-6225	550	5	(	(	PUNCT
ejpam-6225	550	6	7	7	NUM
ejpam-6225	550	7	)	)	PUNCT
ejpam-6225	550	8	of	of	ADP
ejpam-6225	550	9	theorem	theorem	ADJ
ejpam-6225	550	10	3.3	3.3	NUM
ejpam-6225	550	11	=	=	SYM
ejpam-6225	551	1	[	[	X
ejpam-6225	551	2	[	[	PUNCT
ejpam-6225	551	3	srl	srl	X
ejpam-6225	551	4	β−	β−	NUM
ejpam-6225	551	5	(=	(=	NOUN
ejpam-6225	551	6	c	c	NOUN
ejpam-6225	551	7	)	)	PUNCT
ejpam-6225	551	8	]	]	PUNCT
ejpam-6225	551	9	c]c	c]c	NOUN
ejpam-6225	551	10	by	by	ADP
ejpam-6225	551	11	part	part	NOUN
ejpam-6225	551	12	(	(	PUNCT
ejpam-6225	551	13	1	1	NUM
ejpam-6225	551	14	)	)	PUNCT
ejpam-6225	551	15	=	=	SYM
ejpam-6225	551	16	srl	srl	PROPN
ejpam-6225	551	17	β−	β−	PUNCT
ejpam-6225	551	18	(=	(=	NOUN
ejpam-6225	551	19	c	c	X
ejpam-6225	551	20	)	)	PUNCT
ejpam-6225	551	21	=	=	SYM
ejpam-6225	552	1	(	(	PUNCT
ejpam-6225	552	2	sr	sr	PROPN
ejpam-6225	552	3	l	l	PROPN
ejpam-6225	552	4	β−(=	β−(=	PROPN
ejpam-6225	552	5	)	)	PUNCT
ejpam-6225	552	6	)	)	PUNCT
ejpam-6225	553	1	c	c	NOUN
ejpam-6225	553	2	by	by	ADP
ejpam-6225	553	3	part	part	NOUN
ejpam-6225	553	4	(	(	PUNCT
ejpam-6225	553	5	7	7	NUM
ejpam-6225	553	6	)	)	PUNCT
ejpam-6225	553	7	of	of	ADP
ejpam-6225	553	8	theorem	theorem	ADJ
ejpam-6225	553	9	3.3	3.3	NUM
ejpam-6225	553	10	.	.	PUNCT
ejpam-6225	554	1	hence	hence	ADV
ejpam-6225	554	2	,	,	PUNCT
ejpam-6225	554	3	srl	srl	PROPN
ejpam-6225	554	4	β−	β−	PROPN
ejpam-6225	554	5	(	(	PUNCT
ejpam-6225	554	6	sr	sr	PROPN
ejpam-6225	554	7	l	l	PROPN
ejpam-6225	554	8	β−(=	β−(=	PROPN
ejpam-6225	554	9	)	)	PUNCT
ejpam-6225	554	10	)	)	PUNCT
ejpam-6225	555	1	=	=	PRON
ejpam-6225	556	1	(	(	PUNCT
ejpam-6225	556	2	sr	sr	PROPN
ejpam-6225	556	3	l	l	PROPN
ejpam-6225	556	4	β−(=	β−(=	PROPN
ejpam-6225	556	5	)	)	PUNCT
ejpam-6225	556	6	)	)	PUNCT
ejpam-6225	557	1	c	c	X
ejpam-6225	557	2	.	.	PUNCT
ejpam-6225	558	1	the	the	DET
ejpam-6225	558	2	proofs	proof	NOUN
ejpam-6225	558	3	of	of	ADP
ejpam-6225	558	4	parts	part	NOUN
ejpam-6225	558	5	(	(	PUNCT
ejpam-6225	558	6	3	3	NUM
ejpam-6225	558	7	)	)	PUNCT
ejpam-6225	558	8	and	and	CCONJ
ejpam-6225	558	9	(	(	PUNCT
ejpam-6225	558	10	4	4	X
ejpam-6225	558	11	)	)	PUNCT
ejpam-6225	558	12	are	be	AUX
ejpam-6225	558	13	similar	similar	ADJ
ejpam-6225	558	14	to	to	ADP
ejpam-6225	558	15	that	that	PRON
ejpam-6225	558	16	of	of	ADP
ejpam-6225	558	17	part	part	NOUN
ejpam-6225	558	18	(	(	PUNCT
ejpam-6225	558	19	1	1	NUM
ejpam-6225	558	20	)	)	PUNCT
ejpam-6225	558	21	.	.	PUNCT
ejpam-6225	559	1	the	the	DET
ejpam-6225	559	2	following	following	ADJ
ejpam-6225	559	3	example	example	NOUN
ejpam-6225	559	4	explains	explain	VERB
ejpam-6225	559	5	that	that	SCONJ
ejpam-6225	559	6	the	the	DET
ejpam-6225	559	7	inclusions	inclusion	NOUN
ejpam-6225	559	8	in	in	ADP
ejpam-6225	559	9	part	part	NOUN
ejpam-6225	559	10	(	(	PUNCT
ejpam-6225	559	11	1	1	NUM
ejpam-6225	559	12	)	)	PUNCT
ejpam-6225	559	13	and	and	CCONJ
ejpam-6225	559	14	(	(	PUNCT
ejpam-6225	559	15	4	4	NUM
ejpam-6225	559	16	)	)	PUNCT
ejpam-6225	559	17	of	of	ADP
ejpam-6225	559	18	theorem	theorem	ADJ
ejpam-6225	559	19	3.4	3.4	NUM
ejpam-6225	559	20	might	might	AUX
ejpam-6225	559	21	strictly	strictly	ADV
ejpam-6225	559	22	hold	hold	VERB
ejpam-6225	559	23	.	.	PUNCT
ejpam-6225	560	1	example	example	NOUN
ejpam-6225	560	2	3.5	3.5	NUM
ejpam-6225	560	3	.	.	PUNCT
ejpam-6225	561	1	let	let	VERB
ejpam-6225	561	2	b	b	NOUN
ejpam-6225	561	3	=	=	SYM
ejpam-6225	561	4	(	(	PUNCT
ejpam-6225	561	5	f	f	X
ejpam-6225	561	6	,	,	PUNCT
ejpam-6225	561	7	g	g	NOUN
ejpam-6225	561	8	:	:	PUNCT
ejpam-6225	561	9	℘	℘	PROPN
ejpam-6225	561	10	)	)	PUNCT
ejpam-6225	561	11	∈	∈	PROPN
ejpam-6225	561	12	bssq	bssq	NOUN
ejpam-6225	561	13	and	and	CCONJ
ejpam-6225	561	14	βl	βl	NOUN
ejpam-6225	561	15	=	=	PUNCT
ejpam-6225	561	16	(	(	PUNCT
ejpam-6225	561	17	q	q	ADJ
ejpam-6225	561	18	,	,	PUNCT
ejpam-6225	561	19	(	(	PUNCT
ejpam-6225	561	20	f	f	X
ejpam-6225	561	21	,	,	PUNCT
ejpam-6225	561	22	g	g	NOUN
ejpam-6225	561	23	:	:	PUNCT
ejpam-6225	561	24	℘	℘	NUM
ejpam-6225	561	25	)	)	PUNCT
ejpam-6225	561	26	,	,	PUNCT
ejpam-6225	561	27	l	l	NOUN
ejpam-6225	561	28	)	)	PUNCT
ejpam-6225	561	29	be	be	AUX
ejpam-6225	561	30	ibsa	ibsa	NOUN
ejpam-6225	561	31	-	-	PUNCT
ejpam-6225	561	32	space	space	NOUN
ejpam-6225	561	33	with	with	ADP
ejpam-6225	561	34	q	q	PROPN
ejpam-6225	561	35	=	=	SYM
ejpam-6225	561	36	,	,	PUNCT
ejpam-6225	561	37	1ג	1ג	NUM
ejpam-6225	561	38	}	}	PUNCT
ejpam-6225	561	39	,	,	PUNCT
ejpam-6225	561	40	2ג	2ג	NUM
ejpam-6225	561	41	,	,	PUNCT
ejpam-6225	561	42	3ג	3ג	NUM
ejpam-6225	561	43	,	,	PUNCT
ejpam-6225	561	44	4ג	4ג	NOUN
ejpam-6225	561	45	,	,	PUNCT
ejpam-6225	561	46	5ג	5ג	NOUN
ejpam-6225	561	47	{	{	PUNCT
ejpam-6225	561	48	6ג	6ג	NOUN
ejpam-6225	561	49	and	and	CCONJ
ejpam-6225	561	50	℘	℘	PROPN
ejpam-6225	561	51	=	=	SYM
ejpam-6225	561	52	{	{	PUNCT
ejpam-6225	561	53	ς1	ς1	NOUN
ejpam-6225	561	54	,	,	PUNCT
ejpam-6225	561	55	ς2	ς2	PROPN
ejpam-6225	561	56	,	,	PUNCT
ejpam-6225	561	57	ς3	ς3	NOUN
ejpam-6225	561	58	,	,	PUNCT
ejpam-6225	561	59	ς4	ς4	PROPN
ejpam-6225	561	60	,	,	PUNCT
ejpam-6225	561	61	ς5	ς5	NOUN
ejpam-6225	561	62	,	,	PUNCT
ejpam-6225	561	63	ς6	ς6	NOUN
ejpam-6225	561	64	}	}	PUNCT
ejpam-6225	561	65	.	.	PUNCT
ejpam-6225	562	1	the	the	DET
ejpam-6225	562	2	maps	maps	PROPN
ejpam-6225	562	3	f	f	PROPN
ejpam-6225	562	4	and	and	CCONJ
ejpam-6225	562	5	g	g	PROPN
ejpam-6225	562	6	are	be	AUX
ejpam-6225	562	7	as	as	SCONJ
ejpam-6225	562	8	follows	follow	VERB
ejpam-6225	562	9	:	:	PUNCT
ejpam-6225	562	10	f	f	X
ejpam-6225	562	11	:	:	PUNCT
ejpam-6225	562	12	℘	℘	VERB
ejpam-6225	562	13	−→	−→	NOUN
ejpam-6225	562	14	2q	2q	NOUN
ejpam-6225	562	15	,	,	PUNCT
ejpam-6225	562	16	ς	ς	PROPN
ejpam-6225	562	17	7→	7→	NUM
ejpam-6225	562	18			NUM
ejpam-6225	562	19	,	,	PUNCT
ejpam-6225	562	20	1ג	1ג	NUM
ejpam-6225	562	21	}	}	PUNCT
ejpam-6225	562	22	,	,	PUNCT
ejpam-6225	562	23	2ג	2ג	NUM
ejpam-6225	562	24	{	{	PUNCT
ejpam-6225	562	25	3ג	3ג	NUM
ejpam-6225	562	26	,	,	PUNCT
ejpam-6225	562	27	if	if	SCONJ
ejpam-6225	562	28	ς	ς	PROPN
ejpam-6225	562	29	=	=	PUNCT
ejpam-6225	562	30	ς1	ς1	NOUN
ejpam-6225	562	31	,	,	PUNCT
ejpam-6225	562	32	,	,	PUNCT
ejpam-6225	562	33	1ג	1ג	NUM
ejpam-6225	562	34	}	}	PUNCT
ejpam-6225	562	35	{	{	PUNCT
ejpam-6225	562	36	4ג	4ג	NOUN
ejpam-6225	562	37	,	,	PUNCT
ejpam-6225	562	38	if	if	SCONJ
ejpam-6225	562	39	ς	ς	PROPN
ejpam-6225	562	40	=	=	SYM
ejpam-6225	562	41	ς2	ς2	PROPN
ejpam-6225	562	42	,	,	PUNCT
ejpam-6225	562	43	,	,	PUNCT
ejpam-6225	562	44	1ג	1ג	NUM
ejpam-6225	562	45	}	}	PUNCT
ejpam-6225	562	46	{	{	PUNCT
ejpam-6225	562	47	3ג	3ג	NUM
ejpam-6225	562	48	,	,	PUNCT
ejpam-6225	562	49	if	if	SCONJ
ejpam-6225	562	50	ς	ς	PROPN
ejpam-6225	562	51	=	=	SYM
ejpam-6225	562	52	ς3	ς3	PROPN
ejpam-6225	562	53	,	,	PUNCT
ejpam-6225	562	54	,	,	PUNCT
ejpam-6225	562	55	3ג	3ג	NOUN
ejpam-6225	562	56	}	}	PUNCT
ejpam-6225	562	57	,	,	PUNCT
ejpam-6225	562	58	5ג	5ג	NOUN
ejpam-6225	562	59	{	{	PUNCT
ejpam-6225	562	60	6ג	6ג	NUM
ejpam-6225	562	61	,	,	PUNCT
ejpam-6225	562	62	if	if	SCONJ
ejpam-6225	562	63	ς	ς	PROPN
ejpam-6225	562	64	=	=	PROPN
ejpam-6225	562	65	ς4	ς4	PROPN
ejpam-6225	562	66	,	,	PUNCT
ejpam-6225	562	67	,	,	PUNCT
ejpam-6225	562	68	2ג	2ג	NUM
ejpam-6225	562	69	}	}	PUNCT
ejpam-6225	562	70	{	{	PUNCT
ejpam-6225	562	71	4ג	4ג	NOUN
ejpam-6225	562	72	,	,	PUNCT
ejpam-6225	562	73	if	if	SCONJ
ejpam-6225	562	74	ς	ς	PROPN
ejpam-6225	562	75	=	=	SYM
ejpam-6225	562	76	ς5	ς5	PROPN
ejpam-6225	562	77	,	,	PUNCT
ejpam-6225	562	78	,	,	PUNCT
ejpam-6225	562	79	1ג	1ג	NOUN
ejpam-6225	562	80	}	}	PUNCT
ejpam-6225	562	81	,	,	PUNCT
ejpam-6225	562	82	2ג	2ג	NOUN
ejpam-6225	562	83	{	{	PUNCT
ejpam-6225	562	84	5ג	5ג	NOUN
ejpam-6225	562	85	,	,	PUNCT
ejpam-6225	562	86	if	if	SCONJ
ejpam-6225	562	87	ς	ς	PROPN
ejpam-6225	562	88	=	=	SYM
ejpam-6225	562	89	ς6	ς6	PROPN
ejpam-6225	562	90	,	,	PUNCT
ejpam-6225	562	91	and	and	CCONJ
ejpam-6225	562	92	g	g	NOUN
ejpam-6225	562	93	:	:	PUNCT
ejpam-6225	562	94	ℵ	ℵ	X
ejpam-6225	562	95	−→	−→	NOUN
ejpam-6225	562	96	2q	2q	NOUN
ejpam-6225	562	97	,	,	PUNCT
ejpam-6225	562	98	¬ς	¬ς	NOUN
ejpam-6225	562	99	7→	7→	NUM
ejpam-6225	562	100			NUM
ejpam-6225	562	101	,	,	PUNCT
ejpam-6225	562	102	4ג	4ג	NOUN
ejpam-6225	562	103	}	}	PUNCT
ejpam-6225	562	104	{	{	PUNCT
ejpam-6225	562	105	5ג	5ג	NOUN
ejpam-6225	562	106	,	,	PUNCT
ejpam-6225	563	1	if	if	SCONJ
ejpam-6225	563	2	¬ς	¬ς	NOUN
ejpam-6225	563	3	=	=	SYM
ejpam-6225	563	4	¬ς1	¬ς1	ADV
ejpam-6225	563	5	,	,	PUNCT
ejpam-6225	563	6	{	{	PUNCT
ejpam-6225	563	7	5ג	5ג	NOUN
ejpam-6225	563	8	}	}	PUNCT
ejpam-6225	563	9	,	,	PUNCT
ejpam-6225	563	10	if	if	SCONJ
ejpam-6225	563	11	¬ς	¬ς	NOUN
ejpam-6225	563	12	=	=	SYM
ejpam-6225	563	13	¬ς2	¬ς2	NOUN
ejpam-6225	563	14	,	,	PUNCT
ejpam-6225	563	15	,	,	PUNCT
ejpam-6225	563	16	2ג	2ג	NUM
ejpam-6225	563	17	}	}	PUNCT
ejpam-6225	563	18	{	{	PUNCT
ejpam-6225	563	19	6ג	6ג	NUM
ejpam-6225	563	20	,	,	PUNCT
ejpam-6225	563	21	if	if	SCONJ
ejpam-6225	563	22	¬ς	¬ς	NOUN
ejpam-6225	563	23	=	=	SYM
ejpam-6225	563	24	¬ς3	¬ς3	NOUN
ejpam-6225	563	25	,	,	PUNCT
ejpam-6225	563	26	{	{	PUNCT
ejpam-6225	563	27	4ג	4ג	NOUN
ejpam-6225	563	28	}	}	PUNCT
ejpam-6225	563	29	,	,	PUNCT
ejpam-6225	563	30	if	if	SCONJ
ejpam-6225	563	31	¬ς	¬ς	NOUN
ejpam-6225	563	32	=	=	SYM
ejpam-6225	563	33	¬ς4	¬ς4	NOUN
ejpam-6225	563	34	,	,	PUNCT
ejpam-6225	563	35	,	,	PUNCT
ejpam-6225	563	36	3ג	3ג	NOUN
ejpam-6225	563	37	}	}	PUNCT
ejpam-6225	563	38	{	{	PUNCT
ejpam-6225	563	39	6ג	6ג	NUM
ejpam-6225	563	40	,	,	PUNCT
ejpam-6225	563	41	if	if	SCONJ
ejpam-6225	563	42	¬ς	¬ς	NOUN
ejpam-6225	563	43	=	=	NOUN
ejpam-6225	563	44	¬ς5	¬ς5	NOUN
ejpam-6225	563	45	,	,	PUNCT
ejpam-6225	563	46	,	,	PUNCT
ejpam-6225	563	47	3ג	3ג	NOUN
ejpam-6225	563	48	}	}	PUNCT
ejpam-6225	563	49	,	,	PUNCT
ejpam-6225	563	50	4ג	4ג	NOUN
ejpam-6225	563	51	{	{	PUNCT
ejpam-6225	563	52	6ג	6ג	NUM
ejpam-6225	563	53	,	,	PUNCT
ejpam-6225	563	54	if	if	SCONJ
ejpam-6225	563	55	¬ς	¬ς	NOUN
ejpam-6225	563	56	=	=	SYM
ejpam-6225	563	57	¬ς6	¬ς6	NOUN
ejpam-6225	563	58	.	.	PUNCT
ejpam-6225	564	1	if	if	SCONJ
ejpam-6225	564	2	we	we	PRON
ejpam-6225	564	3	consider	consider	VERB
ejpam-6225	564	4	l	l	NOUN
ejpam-6225	564	5	=	=	SYM
ejpam-6225	564	6	{	{	PUNCT
ejpam-6225	564	7	∅	∅	NOUN
ejpam-6225	564	8	,	,	PUNCT
ejpam-6225	564	9	{	{	PUNCT
ejpam-6225	564	10	{	{	PUNCT
ejpam-6225	564	11	1ג	1ג	NOUN
ejpam-6225	564	12	}	}	PUNCT
ejpam-6225	564	13	and	and	CCONJ
ejpam-6225	564	14	=	=	SYM
ejpam-6225	564	15	=	=	NOUN
ejpam-6225	564	16	,	,	PUNCT
ejpam-6225	564	17	1ג	1ג	NUM
ejpam-6225	564	18	}	}	PUNCT
ejpam-6225	564	19	,	,	PUNCT
ejpam-6225	564	20	3ג	3ג	NUM
ejpam-6225	564	21	,	,	PUNCT
ejpam-6225	564	22	5ג	5ג	NOUN
ejpam-6225	564	23	,	,	PUNCT
ejpam-6225	564	24	{	{	PUNCT
ejpam-6225	564	25	6ג	6ג	NOUN
ejpam-6225	564	26	then	then	ADV
ejpam-6225	564	27	srl	srl	PROPN
ejpam-6225	564	28	β−(=	β−(=	PROPN
ejpam-6225	564	29	)	)	PUNCT
ejpam-6225	564	30	=	=	SYM
ejpam-6225	564	31	,	,	PUNCT
ejpam-6225	564	32	1ג	1ג	NUM
ejpam-6225	564	33	}	}	PUNCT
ejpam-6225	564	34	,	,	PUNCT
ejpam-6225	564	35	2ג	2ג	NOUN
ejpam-6225	564	36	{	{	PUNCT
ejpam-6225	564	37	4ג	4ג	NOUN
ejpam-6225	564	38	and	and	CCONJ
ejpam-6225	564	39	sr	sr	PROPN
ejpam-6225	564	40	l	l	NOUN
ejpam-6225	564	41	β−	β−	PROPN
ejpam-6225	565	1	(	(	PUNCT
ejpam-6225	565	2	=)	=)	PROPN
ejpam-6225	565	3	=	=	SYM
ejpam-6225	565	4	.{4ג	.{4ג	PROPN
ejpam-6225	565	5	}	}	PUNCT
ejpam-6225	565	6	therefore	therefore	ADV
ejpam-6225	565	7	,	,	PUNCT
ejpam-6225	565	8	sr	sr	PROPN
ejpam-6225	565	9	l	l	PROPN
ejpam-6225	565	10	β−	β−	PROPN
ejpam-6225	566	1	(	(	PUNCT
ejpam-6225	566	2	sr	sr	PROPN
ejpam-6225	566	3	l	l	PROPN
ejpam-6225	566	4	β−(=	β−(=	PROPN
ejpam-6225	566	5	)	)	PUNCT
ejpam-6225	566	6	)	)	PUNCT
ejpam-6225	567	1	=	=	SYM
ejpam-6225	567	2	,	,	PUNCT
ejpam-6225	567	3	2ג	2ג	NUM
ejpam-6225	567	4	}	}	PUNCT
ejpam-6225	567	5	,	,	PUNCT
ejpam-6225	567	6	3ג	3ג	NUM
ejpam-6225	567	7	,	,	PUNCT
ejpam-6225	567	8	5ג	5ג	NOUN
ejpam-6225	567	9	{	{	PUNCT
ejpam-6225	567	10	6ג	6ג	NOUN
ejpam-6225	567	11	.	.	PUNCT
ejpam-6225	568	1	also	also	ADV
ejpam-6225	568	2	,	,	PUNCT
ejpam-6225	568	3	srl	srl	PROPN
ejpam-6225	568	4	β−	β−	PROPN
ejpam-6225	568	5	(	(	PUNCT
ejpam-6225	568	6	srl	srl	PROPN
ejpam-6225	568	7	β−(=	β−(=	PROPN
ejpam-6225	568	8	)	)	PUNCT
ejpam-6225	568	9	)	)	PUNCT
ejpam-6225	568	10	=	=	SYM
ejpam-6225	568	11	,	,	PUNCT
ejpam-6225	568	12	1ג	1ג	NUM
ejpam-6225	568	13	}	}	PUNCT
ejpam-6225	568	14	,	,	PUNCT
ejpam-6225	568	15	2ג	2ג	NUM
ejpam-6225	568	16	,	,	PUNCT
ejpam-6225	568	17	3ג	3ג	NUM
ejpam-6225	568	18	,	,	PUNCT
ejpam-6225	568	19	5ג	5ג	NOUN
ejpam-6225	568	20	{	{	PUNCT
ejpam-6225	568	21	6ג	6ג	NOUN
ejpam-6225	568	22	.	.	PUNCT
ejpam-6225	569	1	d.	d.	PROPN
ejpam-6225	569	2	shi	shi	PROPN
ejpam-6225	569	3	et	et	PROPN
ejpam-6225	569	4	al	al	PROPN
ejpam-6225	569	5	.	.	PUNCT
ejpam-6225	569	6	/	/	SYM
ejpam-6225	569	7	eur	eur	PROPN
ejpam-6225	569	8	.	.	PUNCT
ejpam-6225	570	1	j.	j.	PROPN
ejpam-6225	570	2	pure	pure	PROPN
ejpam-6225	570	3	appl	appl	PROPN
ejpam-6225	570	4	.	.	PROPN
ejpam-6225	570	5	math	math	PROPN
ejpam-6225	570	6	,	,	PUNCT
ejpam-6225	570	7	18	18	NUM
ejpam-6225	570	8	(	(	PUNCT
ejpam-6225	570	9	4	4	NUM
ejpam-6225	570	10	)	)	PUNCT
ejpam-6225	570	11	(	(	PUNCT
ejpam-6225	570	12	2025	2025	NUM
ejpam-6225	570	13	)	)	PUNCT
ejpam-6225	570	14	,	,	PUNCT
ejpam-6225	570	15	6225	6225	NUM
ejpam-6225	570	16	15	15	NUM
ejpam-6225	570	17	of	of	ADP
ejpam-6225	570	18	36	36	NUM
ejpam-6225	570	19	clearly	clearly	ADV
ejpam-6225	570	20	,	,	PUNCT
ejpam-6225	570	21	sr	sr	PROPN
ejpam-6225	570	22	l	l	PROPN
ejpam-6225	570	23	β−	β−	PROPN
ejpam-6225	571	1	(	(	PUNCT
ejpam-6225	571	2	sr	sr	PROPN
ejpam-6225	571	3	l	l	PROPN
ejpam-6225	571	4	β−(=	β−(=	PROPN
ejpam-6225	571	5	)	)	PUNCT
ejpam-6225	571	6	)	)	PUNCT
ejpam-6225	572	1	=	=	SYM
ejpam-6225	572	2	,	,	PUNCT
ejpam-6225	572	3	2ג	2ג	NUM
ejpam-6225	572	4	}	}	PUNCT
ejpam-6225	572	5	,	,	PUNCT
ejpam-6225	572	6	3ג	3ג	NUM
ejpam-6225	572	7	,	,	PUNCT
ejpam-6225	572	8	5ג	5ג	NOUN
ejpam-6225	572	9	{	{	PUNCT
ejpam-6225	572	10	6ג	6ג	NUM
ejpam-6225	572	11	⊂	⊂	PROPN
ejpam-6225	572	12	,	,	PUNCT
ejpam-6225	572	13	1ג	1ג	NUM
ejpam-6225	572	14	}	}	PUNCT
ejpam-6225	572	15	,	,	PUNCT
ejpam-6225	572	16	2ג	2ג	NUM
ejpam-6225	572	17	,	,	PUNCT
ejpam-6225	572	18	3ג	3ג	NUM
ejpam-6225	572	19	,	,	PUNCT
ejpam-6225	572	20	5ג	5ג	NOUN
ejpam-6225	572	21	{	{	PUNCT
ejpam-6225	572	22	6ג	6ג	NOUN
ejpam-6225	572	23	=	=	PUNCT
ejpam-6225	572	24	(	(	PUNCT
ejpam-6225	572	25	sr	sr	PROPN
ejpam-6225	572	26	l	l	PROPN
ejpam-6225	572	27	β−(=	β−(=	PROPN
ejpam-6225	572	28	)	)	PUNCT
ejpam-6225	572	29	)	)	PUNCT
ejpam-6225	573	1	c	c	NOUN
ejpam-6225	573	2	,	,	PUNCT
ejpam-6225	573	3	indicating	indicate	VERB
ejpam-6225	573	4	that	that	SCONJ
ejpam-6225	573	5	the	the	DET
ejpam-6225	573	6	inclusion	inclusion	NOUN
ejpam-6225	573	7	in	in	ADP
ejpam-6225	573	8	part	part	NOUN
ejpam-6225	573	9	(	(	PUNCT
ejpam-6225	573	10	3	3	NUM
ejpam-6225	573	11	)	)	PUNCT
ejpam-6225	573	12	of	of	ADP
ejpam-6225	573	13	theorem	theorem	NOUN
ejpam-6225	573	14	3.4	3.4	NUM
ejpam-6225	573	15	might	might	AUX
ejpam-6225	573	16	be	be	AUX
ejpam-6225	573	17	strict	strict	ADJ
ejpam-6225	573	18	.	.	PUNCT
ejpam-6225	574	1	also	also	ADV
ejpam-6225	574	2	,	,	PUNCT
ejpam-6225	574	3	srl	srl	PROPN
ejpam-6225	574	4	β−	β−	PROPN
ejpam-6225	574	5	(	(	PUNCT
ejpam-6225	574	6	srl	srl	PROPN
ejpam-6225	574	7	β−(=	β−(=	PROPN
ejpam-6225	574	8	)	)	PUNCT
ejpam-6225	574	9	)	)	PUNCT
ejpam-6225	574	10	=	=	SYM
ejpam-6225	574	11	,	,	PUNCT
ejpam-6225	574	12	1ג	1ג	NUM
ejpam-6225	574	13	}	}	PUNCT
ejpam-6225	574	14	,	,	PUNCT
ejpam-6225	574	15	2ג	2ג	NUM
ejpam-6225	574	16	,	,	PUNCT
ejpam-6225	574	17	3ג	3ג	NUM
ejpam-6225	574	18	,	,	PUNCT
ejpam-6225	574	19	5ג	5ג	NOUN
ejpam-6225	574	20	{	{	PUNCT
ejpam-6225	574	21	6ג	6ג	NUM
ejpam-6225	574	22	⊃	⊃	PROPN
ejpam-6225	574	23	,	,	PUNCT
ejpam-6225	574	24	3ג	3ג	NOUN
ejpam-6225	574	25	}	}	PUNCT
ejpam-6225	574	26	,	,	PUNCT
ejpam-6225	574	27	5ג	5ג	NOUN
ejpam-6225	574	28	{	{	PUNCT
ejpam-6225	574	29	6ג	6ג	NOUN
ejpam-6225	574	30	=	=	PUNCT
ejpam-6225	574	31	(	(	PUNCT
ejpam-6225	574	32	srl	srl	PROPN
ejpam-6225	574	33	β−(=	β−(=	PROPN
ejpam-6225	574	34	)	)	PUNCT
ejpam-6225	574	35	)	)	PUNCT
ejpam-6225	575	1	c	c	NOUN
ejpam-6225	575	2	,	,	PUNCT
ejpam-6225	575	3	which	which	PRON
ejpam-6225	575	4	shows	show	VERB
ejpam-6225	575	5	that	that	SCONJ
ejpam-6225	575	6	the	the	DET
ejpam-6225	575	7	inclusions	inclusion	NOUN
ejpam-6225	575	8	in	in	ADP
ejpam-6225	575	9	part	part	NOUN
ejpam-6225	575	10	(	(	PUNCT
ejpam-6225	575	11	4	4	NUM
ejpam-6225	575	12	)	)	PUNCT
ejpam-6225	575	13	of	of	ADP
ejpam-6225	575	14	theorem	theorem	ADJ
ejpam-6225	575	15	3.4	3.4	NUM
ejpam-6225	575	16	may	may	AUX
ejpam-6225	575	17	strictly	strictly	ADV
ejpam-6225	575	18	hold	hold	VERB
ejpam-6225	575	19	.	.	PUNCT
ejpam-6225	576	1	definition	definition	NOUN
ejpam-6225	576	2	3.2	3.2	NUM
ejpam-6225	576	3	.	.	PUNCT
ejpam-6225	577	1	let	let	VERB
ejpam-6225	577	2	b	b	NOUN
ejpam-6225	577	3	=	=	SYM
ejpam-6225	577	4	(	(	PUNCT
ejpam-6225	577	5	f	f	X
ejpam-6225	577	6	,	,	PUNCT
ejpam-6225	577	7	g	g	NOUN
ejpam-6225	577	8	:	:	PUNCT
ejpam-6225	577	9	℘	℘	PROPN
ejpam-6225	577	10	)	)	PUNCT
ejpam-6225	577	11	∈	∈	PROPN
ejpam-6225	577	12	bssq	bssq	NOUN
ejpam-6225	577	13	and	and	CCONJ
ejpam-6225	577	14	βl	βl	NOUN
ejpam-6225	577	15	=	=	PUNCT
ejpam-6225	577	16	(	(	PUNCT
ejpam-6225	577	17	q	q	ADJ
ejpam-6225	577	18	,	,	PUNCT
ejpam-6225	577	19	(	(	PUNCT
ejpam-6225	577	20	f	f	X
ejpam-6225	577	21	,	,	PUNCT
ejpam-6225	577	22	g	g	NOUN
ejpam-6225	577	23	:	:	PUNCT
ejpam-6225	577	24	℘	℘	NUM
ejpam-6225	577	25	)	)	PUNCT
ejpam-6225	577	26	,	,	PUNCT
ejpam-6225	577	27	l	l	NOUN
ejpam-6225	577	28	)	)	PUNCT
ejpam-6225	577	29	be	be	AUX
ejpam-6225	577	30	ibsa	ibsa	NOUN
ejpam-6225	577	31	-	-	NOUN
ejpam-6225	577	32	space	space	NOUN
ejpam-6225	577	33	.	.	PUNCT
ejpam-6225	578	1	let	let	VERB
ejpam-6225	578	2	=	=	PRON
ejpam-6225	578	3	,	,	PUNCT
ejpam-6225	578	4	ϑ	ϑ	PROPN
ejpam-6225	578	5	⊆	⊆	NUM
ejpam-6225	578	6	q.	q.	NOUN
ejpam-6225	578	7	then	then	ADV
ejpam-6225	578	8	,	,	PUNCT
ejpam-6225	578	9	(	(	PUNCT
ejpam-6225	578	10	1	1	X
ejpam-6225	578	11	)	)	PUNCT
ejpam-6225	578	12	psrl	psrl	NOUN
ejpam-6225	578	13	β	β	X
ejpam-6225	578	14	(	(	PUNCT
ejpam-6225	578	15	=)	=)	PROPN
ejpam-6225	578	16	v	v	NUM
ejpam-6225	578	17	psrl	psrl	PROPN
ejpam-6225	578	18	β	β	X
ejpam-6225	578	19	(	(	PUNCT
ejpam-6225	578	20	ϑ	ϑ	NOUN
ejpam-6225	578	21	)	)	PUNCT
ejpam-6225	578	22	⇐	⇐	ADJ
ejpam-6225	578	23	⇒	⇒	PROPN
ejpam-6225	578	24	srl	srl	PROPN
ejpam-6225	578	25	β+(=	β+(=	PROPN
ejpam-6225	578	26	)	)	PUNCT
ejpam-6225	578	27	⊆	⊆	NUM
ejpam-6225	578	28	srl	srl	PROPN
ejpam-6225	578	29	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	578	30	)	)	PUNCT
ejpam-6225	578	31	and	and	CCONJ
ejpam-6225	578	32	srl	srl	PROPN
ejpam-6225	578	33	β−(=	β−(=	PROPN
ejpam-6225	578	34	)	)	PUNCT
ejpam-6225	578	35	⊇	⊇	PROPN
ejpam-6225	578	36	srl	srl	PROPN
ejpam-6225	578	37	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	578	38	)	)	PUNCT
ejpam-6225	578	39	.	.	PUNCT
ejpam-6225	579	1	(	(	PUNCT
ejpam-6225	579	2	2	2	X
ejpam-6225	579	3	)	)	PUNCT
ejpam-6225	579	4	psr	psr	PROPN
ejpam-6225	579	5	l	l	NOUN
ejpam-6225	579	6	β	β	X
ejpam-6225	579	7	(	(	PUNCT
ejpam-6225	579	8	=)	=)	PROPN
ejpam-6225	579	9	v	v	NUM
ejpam-6225	579	10	psr	psr	PROPN
ejpam-6225	579	11	l	l	NOUN
ejpam-6225	579	12	β	β	X
ejpam-6225	579	13	(	(	PUNCT
ejpam-6225	579	14	ϑ	ϑ	NOUN
ejpam-6225	579	15	)	)	PUNCT
ejpam-6225	579	16	⇐	⇐	ADJ
ejpam-6225	579	17	⇒	⇒	PROPN
ejpam-6225	579	18	sr	sr	PROPN
ejpam-6225	579	19	l	l	PROPN
ejpam-6225	579	20	β+(=	β+(=	PROPN
ejpam-6225	579	21	)	)	PUNCT
ejpam-6225	580	1	⊆	⊆	NUM
ejpam-6225	580	2	sr	sr	PROPN
ejpam-6225	580	3	l	l	PROPN
ejpam-6225	580	4	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	580	5	)	)	PUNCT
ejpam-6225	580	6	and	and	CCONJ
ejpam-6225	580	7	sr	sr	PROPN
ejpam-6225	580	8	l	l	PROPN
ejpam-6225	580	9	β−(=	β−(=	PROPN
ejpam-6225	580	10	)	)	PUNCT
ejpam-6225	580	11	⊇	⊇	PROPN
ejpam-6225	580	12	sr	sr	PROPN
ejpam-6225	580	13	l	l	PROPN
ejpam-6225	580	14	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	580	15	)	)	PUNCT
ejpam-6225	580	16	.	.	PUNCT
ejpam-6225	581	1	definition	definition	NOUN
ejpam-6225	581	2	3.3	3.3	NUM
ejpam-6225	581	3	.	.	PUNCT
ejpam-6225	582	1	let	let	VERB
ejpam-6225	582	2	b	b	NOUN
ejpam-6225	582	3	=	=	SYM
ejpam-6225	582	4	(	(	PUNCT
ejpam-6225	582	5	f	f	X
ejpam-6225	582	6	,	,	PUNCT
ejpam-6225	582	7	g	g	NOUN
ejpam-6225	582	8	:	:	PUNCT
ejpam-6225	582	9	℘	℘	PROPN
ejpam-6225	582	10	)	)	PUNCT
ejpam-6225	582	11	∈	∈	PROPN
ejpam-6225	582	12	bssq	bssq	NOUN
ejpam-6225	582	13	and	and	CCONJ
ejpam-6225	582	14	βl	βl	NOUN
ejpam-6225	582	15	=	=	PUNCT
ejpam-6225	582	16	(	(	PUNCT
ejpam-6225	582	17	q	q	ADJ
ejpam-6225	582	18	,	,	PUNCT
ejpam-6225	582	19	(	(	PUNCT
ejpam-6225	582	20	f	f	X
ejpam-6225	582	21	,	,	PUNCT
ejpam-6225	582	22	g	g	NOUN
ejpam-6225	582	23	:	:	PUNCT
ejpam-6225	582	24	℘	℘	NUM
ejpam-6225	582	25	)	)	PUNCT
ejpam-6225	582	26	,	,	PUNCT
ejpam-6225	582	27	l	l	NOUN
ejpam-6225	582	28	)	)	PUNCT
ejpam-6225	582	29	be	be	AUX
ejpam-6225	582	30	ibsa	ibsa	NOUN
ejpam-6225	582	31	-	-	NOUN
ejpam-6225	582	32	space	space	NOUN
ejpam-6225	582	33	.	.	PUNCT
ejpam-6225	583	1	let	let	VERB
ejpam-6225	583	2	=	=	PRON
ejpam-6225	583	3	,	,	PUNCT
ejpam-6225	583	4	ϑ	ϑ	PROPN
ejpam-6225	583	5	⊆	⊆	NUM
ejpam-6225	583	6	q.	q.	NOUN
ejpam-6225	583	7	then	then	ADV
ejpam-6225	583	8	,	,	PUNCT
ejpam-6225	583	9	(	(	PUNCT
ejpam-6225	583	10	1	1	X
ejpam-6225	583	11	)	)	PUNCT
ejpam-6225	583	12	(	(	PUNCT
ejpam-6225	583	13	psrl	psrl	PROPN
ejpam-6225	583	14	β	β	X
ejpam-6225	583	15	(	(	PUNCT
ejpam-6225	583	16	=)	=)	PROPN
ejpam-6225	583	17	t	t	PROPN
ejpam-6225	583	18	psrl	psrl	PROPN
ejpam-6225	583	19	β	β	X
ejpam-6225	583	20	(	(	PUNCT
ejpam-6225	583	21	ϑ	ϑ	NOUN
ejpam-6225	583	22	)	)	PUNCT
ejpam-6225	583	23	)	)	PUNCT
ejpam-6225	584	1	=	=	PUNCT
ejpam-6225	584	2	(	(	PUNCT
ejpam-6225	584	3	srl	srl	PROPN
ejpam-6225	584	4	β+(=	β+(=	NOUN
ejpam-6225	584	5	)	)	PUNCT
ejpam-6225	584	6	∪	∪	ADP
ejpam-6225	584	7	srl	srl	PROPN
ejpam-6225	584	8	β+(ϑ),srl	β+(ϑ),srl	SYM
ejpam-6225	584	9	β−(=	β−(=	PROPN
ejpam-6225	584	10	)	)	PUNCT
ejpam-6225	584	11	∩	∩	NOUN
ejpam-6225	584	12	srl	srl	PROPN
ejpam-6225	584	13	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	584	14	)	)	PUNCT
ejpam-6225	584	15	)	)	PUNCT
ejpam-6225	584	16	.	.	PUNCT
ejpam-6225	585	1	(	(	PUNCT
ejpam-6225	585	2	2	2	X
ejpam-6225	585	3	)	)	PUNCT
ejpam-6225	585	4	(	(	PUNCT
ejpam-6225	585	5	psr	psr	X
ejpam-6225	585	6	l	l	NOUN
ejpam-6225	585	7	β	β	X
ejpam-6225	585	8	(	(	PUNCT
ejpam-6225	585	9	=)	=)	PROPN
ejpam-6225	585	10	t	t	PROPN
ejpam-6225	585	11	psr	psr	PROPN
ejpam-6225	585	12	l	l	PROPN
ejpam-6225	585	13	β	β	X
ejpam-6225	585	14	(	(	PUNCT
ejpam-6225	585	15	ϑ	ϑ	NOUN
ejpam-6225	585	16	)	)	PUNCT
ejpam-6225	585	17	)	)	PUNCT
ejpam-6225	586	1	=	=	PRON
ejpam-6225	586	2	(	(	PUNCT
ejpam-6225	586	3	sr	sr	PROPN
ejpam-6225	586	4	l	l	PROPN
ejpam-6225	586	5	β+(=	β+(=	PROPN
ejpam-6225	586	6	)	)	PUNCT
ejpam-6225	586	7	∪	∪	ADP
ejpam-6225	586	8	sr	sr	PROPN
ejpam-6225	586	9	l	l	NOUN
ejpam-6225	586	10	β+(ϑ),sr	β+(ϑ),sr	PROPN
ejpam-6225	586	11	l	l	PROPN
ejpam-6225	586	12	β−(=	β−(=	NOUN
ejpam-6225	586	13	)	)	PUNCT
ejpam-6225	586	14	∩	∩	ADJ
ejpam-6225	586	15	sr	sr	PROPN
ejpam-6225	586	16	l	l	PROPN
ejpam-6225	586	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	586	18	)	)	PUNCT
ejpam-6225	586	19	)	)	PUNCT
ejpam-6225	586	20	.	.	PUNCT
ejpam-6225	587	1	definition	definition	NOUN
ejpam-6225	587	2	3.4	3.4	NUM
ejpam-6225	587	3	.	.	PUNCT
ejpam-6225	588	1	let	let	VERB
ejpam-6225	588	2	b	b	NOUN
ejpam-6225	588	3	=	=	SYM
ejpam-6225	588	4	(	(	PUNCT
ejpam-6225	588	5	f	f	X
ejpam-6225	588	6	,	,	PUNCT
ejpam-6225	588	7	g	g	NOUN
ejpam-6225	588	8	:	:	PUNCT
ejpam-6225	588	9	℘	℘	PROPN
ejpam-6225	588	10	)	)	PUNCT
ejpam-6225	588	11	∈	∈	PROPN
ejpam-6225	588	12	bssq	bssq	NOUN
ejpam-6225	588	13	and	and	CCONJ
ejpam-6225	588	14	βl	βl	NOUN
ejpam-6225	588	15	=	=	PUNCT
ejpam-6225	588	16	(	(	PUNCT
ejpam-6225	588	17	q	q	ADJ
ejpam-6225	588	18	,	,	PUNCT
ejpam-6225	588	19	(	(	PUNCT
ejpam-6225	588	20	f	f	X
ejpam-6225	588	21	,	,	PUNCT
ejpam-6225	588	22	g	g	NOUN
ejpam-6225	588	23	:	:	PUNCT
ejpam-6225	588	24	℘	℘	NUM
ejpam-6225	588	25	)	)	PUNCT
ejpam-6225	588	26	,	,	PUNCT
ejpam-6225	588	27	l	l	NOUN
ejpam-6225	588	28	)	)	PUNCT
ejpam-6225	588	29	be	be	AUX
ejpam-6225	588	30	ibsa	ibsa	NOUN
ejpam-6225	588	31	-	-	NOUN
ejpam-6225	588	32	space	space	NOUN
ejpam-6225	588	33	.	.	PUNCT
ejpam-6225	589	1	let	let	VERB
ejpam-6225	589	2	=	=	PRON
ejpam-6225	589	3	,	,	PUNCT
ejpam-6225	589	4	ϑ	ϑ	PROPN
ejpam-6225	589	5	⊆	⊆	NUM
ejpam-6225	589	6	q.	q.	NOUN
ejpam-6225	589	7	then	then	ADV
ejpam-6225	589	8	,	,	PUNCT
ejpam-6225	589	9	(	(	PUNCT
ejpam-6225	589	10	1	1	X
ejpam-6225	589	11	)	)	PUNCT
ejpam-6225	589	12	(	(	PUNCT
ejpam-6225	589	13	psrl	psrl	PROPN
ejpam-6225	589	14	β	β	X
ejpam-6225	589	15	(	(	PUNCT
ejpam-6225	589	16	=)	=)	PROPN
ejpam-6225	589	17	u	u	PROPN
ejpam-6225	589	18	psrl	psrl	PROPN
ejpam-6225	589	19	β	β	X
ejpam-6225	589	20	(	(	PUNCT
ejpam-6225	589	21	ϑ	ϑ	NOUN
ejpam-6225	589	22	)	)	PUNCT
ejpam-6225	589	23	)	)	PUNCT
ejpam-6225	590	1	=	=	PUNCT
ejpam-6225	590	2	(	(	PUNCT
ejpam-6225	590	3	srl	srl	PROPN
ejpam-6225	590	4	β+(=	β+(=	NOUN
ejpam-6225	590	5	)	)	PUNCT
ejpam-6225	590	6	∩	∩	PROPN
ejpam-6225	590	7	srl	srl	PROPN
ejpam-6225	590	8	β+(ϑ),srl	β+(ϑ),srl	X
ejpam-6225	590	9	β−(=	β−(=	PROPN
ejpam-6225	590	10	)	)	PUNCT
ejpam-6225	590	11	∪	∪	ADP
ejpam-6225	590	12	srl	srl	PROPN
ejpam-6225	590	13	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	590	14	)	)	PUNCT
ejpam-6225	590	15	)	)	PUNCT
ejpam-6225	590	16	.	.	PUNCT
ejpam-6225	591	1	(	(	PUNCT
ejpam-6225	591	2	2	2	X
ejpam-6225	591	3	)	)	PUNCT
ejpam-6225	591	4	(	(	PUNCT
ejpam-6225	591	5	psr	psr	X
ejpam-6225	591	6	l	l	NOUN
ejpam-6225	591	7	β	β	X
ejpam-6225	591	8	(	(	PUNCT
ejpam-6225	591	9	=)	=)	PROPN
ejpam-6225	591	10	u	u	X
ejpam-6225	591	11	psr	psr	PROPN
ejpam-6225	591	12	l	l	NOUN
ejpam-6225	591	13	β	β	X
ejpam-6225	591	14	(	(	PUNCT
ejpam-6225	591	15	ϑ	ϑ	NOUN
ejpam-6225	591	16	)	)	PUNCT
ejpam-6225	591	17	)	)	PUNCT
ejpam-6225	592	1	=	=	PRON
ejpam-6225	592	2	(	(	PUNCT
ejpam-6225	592	3	sr	sr	PROPN
ejpam-6225	592	4	l	l	NOUN
ejpam-6225	592	5	β+(=	β+(=	NOUN
ejpam-6225	592	6	)	)	PUNCT
ejpam-6225	592	7	∩	∩	PROPN
ejpam-6225	592	8	sr	sr	PROPN
ejpam-6225	592	9	l	l	NOUN
ejpam-6225	592	10	β+(ϑ),sr	β+(ϑ),sr	PROPN
ejpam-6225	592	11	l	l	PROPN
ejpam-6225	592	12	β−(=	β−(=	PROPN
ejpam-6225	592	13	)	)	PUNCT
ejpam-6225	592	14	∪	∪	ADP
ejpam-6225	592	15	sr	sr	PROPN
ejpam-6225	592	16	l	l	X
ejpam-6225	592	17	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	592	18	)	)	PUNCT
ejpam-6225	592	19	)	)	PUNCT
ejpam-6225	592	20	.	.	PUNCT
ejpam-6225	593	1	theorem	theorem	VERB
ejpam-6225	593	2	3.5	3.5	NUM
ejpam-6225	593	3	.	.	PUNCT
ejpam-6225	594	1	let	let	VERB
ejpam-6225	594	2	b	b	NOUN
ejpam-6225	594	3	=	=	SYM
ejpam-6225	594	4	(	(	PUNCT
ejpam-6225	594	5	f	f	X
ejpam-6225	594	6	,	,	PUNCT
ejpam-6225	594	7	g	g	NOUN
ejpam-6225	594	8	:	:	PUNCT
ejpam-6225	594	9	℘	℘	PROPN
ejpam-6225	594	10	)	)	PUNCT
ejpam-6225	594	11	∈	∈	PROPN
ejpam-6225	594	12	bssq	bssq	NOUN
ejpam-6225	594	13	and	and	CCONJ
ejpam-6225	594	14	βl	βl	NOUN
ejpam-6225	594	15	=	=	PUNCT
ejpam-6225	594	16	(	(	PUNCT
ejpam-6225	594	17	q	q	ADJ
ejpam-6225	594	18	,	,	PUNCT
ejpam-6225	594	19	(	(	PUNCT
ejpam-6225	594	20	f	f	X
ejpam-6225	594	21	,	,	PUNCT
ejpam-6225	594	22	g	g	NOUN
ejpam-6225	594	23	:	:	PUNCT
ejpam-6225	594	24	℘	℘	NUM
ejpam-6225	594	25	)	)	PUNCT
ejpam-6225	594	26	,	,	PUNCT
ejpam-6225	594	27	l	l	NOUN
ejpam-6225	594	28	)	)	PUNCT
ejpam-6225	594	29	be	be	AUX
ejpam-6225	594	30	ibsa	ibsa	NOUN
ejpam-6225	594	31	-	-	PUNCT
ejpam-6225	594	32	space	space	NOUN
ejpam-6225	594	33	and	and	CCONJ
ejpam-6225	594	34	=	=	SYM
ejpam-6225	594	35	⊆	⊆	NUM
ejpam-6225	594	36	q.	q.	NOUN
ejpam-6225	594	37	then	then	ADV
ejpam-6225	594	38	,	,	PUNCT
ejpam-6225	594	39	the	the	DET
ejpam-6225	594	40	following	follow	VERB
ejpam-6225	594	41	properties	property	NOUN
ejpam-6225	594	42	hold	hold	VERB
ejpam-6225	594	43	.	.	PUNCT
ejpam-6225	595	1	(	(	PUNCT
ejpam-6225	595	2	1	1	X
ejpam-6225	595	3	)	)	PUNCT
ejpam-6225	595	4	if	if	SCONJ
ejpam-6225	595	5	=	=	PROPN
ejpam-6225	595	6	⊆	⊆	NUM
ejpam-6225	595	7	ϑ	ϑ	X
ejpam-6225	595	8	,	,	PUNCT
ejpam-6225	595	9	then	then	ADV
ejpam-6225	595	10	psrl	psrl	PROPN
ejpam-6225	595	11	β	β	X
ejpam-6225	595	12	(	(	PUNCT
ejpam-6225	595	13	=)	=)	PROPN
ejpam-6225	595	14	v	v	NUM
ejpam-6225	595	15	psrl	psrl	PROPN
ejpam-6225	595	16	β	β	X
ejpam-6225	595	17	(	(	PUNCT
ejpam-6225	595	18	ϑ	ϑ	NOUN
ejpam-6225	595	19	)	)	PUNCT
ejpam-6225	595	20	and	and	CCONJ
ejpam-6225	595	21	psr	psr	PROPN
ejpam-6225	595	22	l	l	PROPN
ejpam-6225	595	23	β	β	X
ejpam-6225	595	24	(	(	PUNCT
ejpam-6225	595	25	=)	=)	PROPN
ejpam-6225	595	26	v	v	NUM
ejpam-6225	595	27	psr	psr	PROPN
ejpam-6225	595	28	l	l	NOUN
ejpam-6225	595	29	β	β	X
ejpam-6225	595	30	(	(	PUNCT
ejpam-6225	595	31	ϑ	ϑ	NOUN
ejpam-6225	595	32	)	)	PUNCT
ejpam-6225	595	33	;	;	PUNCT
ejpam-6225	595	34	(	(	PUNCT
ejpam-6225	595	35	2	2	X
ejpam-6225	595	36	)	)	PUNCT
ejpam-6225	595	37	psrl	psrl	NOUN
ejpam-6225	595	38	β	β	X
ejpam-6225	595	39	(=	(=	X
ejpam-6225	595	40	∪	∪	ADP
ejpam-6225	595	41	ϑ	ϑ	NOUN
ejpam-6225	595	42	)	)	PUNCT
ejpam-6225	595	43	w	w	NOUN
ejpam-6225	595	44	psrl	psrl	PROPN
ejpam-6225	595	45	β	β	X
ejpam-6225	595	46	(	(	PUNCT
ejpam-6225	595	47	=)	=)	PROPN
ejpam-6225	595	48	t	t	PROPN
ejpam-6225	595	49	psrl	psrl	PROPN
ejpam-6225	595	50	β	β	X
ejpam-6225	595	51	(	(	PUNCT
ejpam-6225	595	52	ϑ	ϑ	NOUN
ejpam-6225	595	53	)	)	PUNCT
ejpam-6225	595	54	;	;	PUNCT
ejpam-6225	595	55	(	(	PUNCT
ejpam-6225	595	56	3	3	X
ejpam-6225	595	57	)	)	PUNCT
ejpam-6225	595	58	psrl	psrl	PROPN
ejpam-6225	595	59	β	β	X
ejpam-6225	595	60	(=	(=	X
ejpam-6225	595	61	∩	∩	PROPN
ejpam-6225	595	62	ϑ	ϑ	NOUN
ejpam-6225	595	63	)	)	PUNCT
ejpam-6225	595	64	v	v	ADP
ejpam-6225	595	65	psrl	psrl	PROPN
ejpam-6225	595	66	β	β	X
ejpam-6225	595	67	(	(	PUNCT
ejpam-6225	595	68	=)	=)	PROPN
ejpam-6225	595	69	u	u	PROPN
ejpam-6225	595	70	psrl	psrl	PROPN
ejpam-6225	595	71	β	β	X
ejpam-6225	595	72	(	(	PUNCT
ejpam-6225	595	73	ϑ	ϑ	NOUN
ejpam-6225	595	74	)	)	PUNCT
ejpam-6225	595	75	;	;	PUNCT
ejpam-6225	595	76	(	(	PUNCT
ejpam-6225	595	77	4	4	X
ejpam-6225	595	78	)	)	PUNCT
ejpam-6225	595	79	psr	psr	NOUN
ejpam-6225	595	80	l	l	NOUN
ejpam-6225	595	81	β	β	X
ejpam-6225	595	82	(=	(=	X
ejpam-6225	595	83	∪	∪	ADP
ejpam-6225	595	84	ϑ	ϑ	NOUN
ejpam-6225	595	85	)	)	PUNCT
ejpam-6225	595	86	w	w	PROPN
ejpam-6225	595	87	psr	psr	PROPN
ejpam-6225	595	88	l	l	PROPN
ejpam-6225	595	89	β	β	X
ejpam-6225	595	90	(	(	PUNCT
ejpam-6225	595	91	=)	=)	PROPN
ejpam-6225	595	92	t	t	PROPN
ejpam-6225	595	93	psr	psr	PROPN
ejpam-6225	595	94	l	l	PROPN
ejpam-6225	595	95	β	β	X
ejpam-6225	595	96	(	(	PUNCT
ejpam-6225	595	97	ϑ	ϑ	NOUN
ejpam-6225	595	98	)	)	PUNCT
ejpam-6225	595	99	;	;	PUNCT
ejpam-6225	595	100	(	(	PUNCT
ejpam-6225	595	101	5	5	X
ejpam-6225	595	102	)	)	PUNCT
ejpam-6225	595	103	psr	psr	PROPN
ejpam-6225	595	104	l	l	NOUN
ejpam-6225	595	105	β	β	X
ejpam-6225	595	106	(=	(=	X
ejpam-6225	595	107	∩	∩	X
ejpam-6225	595	108	ϑ	ϑ	NOUN
ejpam-6225	595	109	)	)	PUNCT
ejpam-6225	595	110	v	v	NOUN
ejpam-6225	595	111	psr	psr	PROPN
ejpam-6225	595	112	l	l	NOUN
ejpam-6225	595	113	β	β	X
ejpam-6225	595	114	(	(	PUNCT
ejpam-6225	595	115	=)	=)	PROPN
ejpam-6225	595	116	u	u	X
ejpam-6225	595	117	psr	psr	PROPN
ejpam-6225	595	118	l	l	NOUN
ejpam-6225	595	119	β	β	X
ejpam-6225	595	120	(	(	PUNCT
ejpam-6225	595	121	ϑ	ϑ	NOUN
ejpam-6225	595	122	)	)	PUNCT
ejpam-6225	595	123	.	.	PUNCT
ejpam-6225	596	1	proof	proof	NOUN
ejpam-6225	596	2	.	.	PUNCT
ejpam-6225	597	1	(	(	PUNCT
ejpam-6225	597	2	1	1	X
ejpam-6225	597	3	)	)	PUNCT
ejpam-6225	597	4	assume	assume	VERB
ejpam-6225	597	5	that	that	SCONJ
ejpam-6225	597	6	=	=	NOUN
ejpam-6225	597	7	⊆	⊆	NUM
ejpam-6225	597	8	ϑ.	ϑ.	NOUN
ejpam-6225	597	9	since	since	SCONJ
ejpam-6225	597	10	srl	srl	PROPN
ejpam-6225	597	11	β+(=	β+(=	PROPN
ejpam-6225	597	12	)	)	PUNCT
ejpam-6225	597	13	⊆	⊆	NUM
ejpam-6225	597	14	srl	srl	PROPN
ejpam-6225	597	15	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	597	16	)	)	PUNCT
ejpam-6225	597	17	and	and	CCONJ
ejpam-6225	597	18	srl	srl	PROPN
ejpam-6225	597	19	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	597	20	)	)	PUNCT
ejpam-6225	597	21	⊆	⊆	NUM
ejpam-6225	597	22	srl	srl	PROPN
ejpam-6225	597	23	β−(=	β−(=	X
ejpam-6225	597	24	)	)	PUNCT
ejpam-6225	597	25	by	by	ADP
ejpam-6225	597	26	theorems	theorem	NOUN
ejpam-6225	597	27	3.2	3.2	NUM
ejpam-6225	597	28	and	and	CCONJ
ejpam-6225	597	29	3.3	3.3	NUM
ejpam-6225	597	30	.	.	PUNCT
ejpam-6225	598	1	then	then	ADV
ejpam-6225	598	2	,	,	PUNCT
ejpam-6225	598	3	psrl	psrl	PROPN
ejpam-6225	598	4	β	β	X
ejpam-6225	598	5	(	(	PUNCT
ejpam-6225	598	6	ϑ	ϑ	NOUN
ejpam-6225	598	7	)	)	PUNCT
ejpam-6225	598	8	v	v	NOUN
ejpam-6225	598	9	psrl	psrl	PROPN
ejpam-6225	598	10	β	β	X
ejpam-6225	598	11	(	(	PUNCT
ejpam-6225	598	12	=)	=)	INTJ
ejpam-6225	598	13	by	by	ADP
ejpam-6225	598	14	definition	definition	NOUN
ejpam-6225	598	15	3.2	3.2	NUM
ejpam-6225	598	16	.	.	PUNCT
ejpam-6225	599	1	the	the	DET
ejpam-6225	599	2	other	other	ADJ
ejpam-6225	599	3	part	part	NOUN
ejpam-6225	599	4	is	be	AUX
ejpam-6225	599	5	similar	similar	ADJ
ejpam-6225	599	6	.	.	PUNCT
ejpam-6225	600	1	(	(	PUNCT
ejpam-6225	600	2	2	2	NUM
ejpam-6225	600	3	)	)	PUNCT
ejpam-6225	600	4	since	since	SCONJ
ejpam-6225	600	5	srl	srl	PROPN
ejpam-6225	600	6	β+(=	β+(=	PROPN
ejpam-6225	600	7	∪	∪	ADP
ejpam-6225	600	8	ϑ	ϑ	NOUN
ejpam-6225	600	9	)	)	PUNCT
ejpam-6225	600	10	⊇	⊇	PROPN
ejpam-6225	600	11	srl	srl	PROPN
ejpam-6225	600	12	β+(=	β+(=	PROPN
ejpam-6225	600	13	)	)	PUNCT
ejpam-6225	600	14	∪	∪	ADP
ejpam-6225	600	15	srl	srl	PROPN
ejpam-6225	600	16	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	600	17	)	)	PUNCT
ejpam-6225	600	18	and	and	CCONJ
ejpam-6225	600	19	srl	srl	PROPN
ejpam-6225	600	20	β−(=	β−(=	PROPN
ejpam-6225	600	21	∪	∪	ADP
ejpam-6225	600	22	ϑ	ϑ	NOUN
ejpam-6225	600	23	)	)	PUNCT
ejpam-6225	600	24	⊆	⊆	NUM
ejpam-6225	600	25	srl	srl	PROPN
ejpam-6225	600	26	β−(=	β−(=	NOUN
ejpam-6225	600	27	)	)	PUNCT
ejpam-6225	600	28	∩	∩	NOUN
ejpam-6225	600	29	srl	srl	PROPN
ejpam-6225	600	30	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	600	31	)	)	PUNCT
ejpam-6225	600	32	by	by	ADP
ejpam-6225	600	33	theorems	theorem	NOUN
ejpam-6225	600	34	3.2	3.2	NUM
ejpam-6225	600	35	and	and	CCONJ
ejpam-6225	600	36	3.3	3.3	NUM
ejpam-6225	600	37	.	.	PUNCT
ejpam-6225	601	1	then	then	ADV
ejpam-6225	601	2	,	,	PUNCT
ejpam-6225	601	3	psrl	psrl	PROPN
ejpam-6225	601	4	β	β	X
ejpam-6225	601	5	(=	(=	X
ejpam-6225	601	6	∪	∪	ADP
ejpam-6225	601	7	ϑ	ϑ	NOUN
ejpam-6225	601	8	)	)	PUNCT
ejpam-6225	601	9	=	=	SYM
ejpam-6225	601	10	(	(	PUNCT
ejpam-6225	601	11	srl	srl	PROPN
ejpam-6225	601	12	β+(=	β+(=	PROPN
ejpam-6225	601	13	∪	∪	PROPN
ejpam-6225	601	14	ϑ),srl	ϑ),srl	PROPN
ejpam-6225	601	15	β−(=	β−(=	PROPN
ejpam-6225	601	16	∪	∪	X
ejpam-6225	601	17	ϑ	ϑ	NOUN
ejpam-6225	601	18	)	)	PUNCT
ejpam-6225	601	19	)	)	PUNCT
ejpam-6225	602	1	w	w	PROPN
ejpam-6225	602	2	(	(	PUNCT
ejpam-6225	602	3	srl	srl	PROPN
ejpam-6225	602	4	β+(=	β+(=	PROPN
ejpam-6225	602	5	)	)	PUNCT
ejpam-6225	602	6	∪	∪	ADP
ejpam-6225	602	7	srl	srl	PROPN
ejpam-6225	602	8	β+(ϑ),srl	β+(ϑ),srl	SYM
ejpam-6225	602	9	β−(=	β−(=	PROPN
ejpam-6225	602	10	)	)	PUNCT
ejpam-6225	602	11	∩	∩	NOUN
ejpam-6225	602	12	srl	srl	PROPN
ejpam-6225	602	13	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	602	14	)	)	PUNCT
ejpam-6225	602	15	)	)	PUNCT
ejpam-6225	603	1	=	=	PUNCT
ejpam-6225	603	2	(	(	PUNCT
ejpam-6225	603	3	srl	srl	PROPN
ejpam-6225	603	4	β+(=),srl	β+(=),srl	PROPN
ejpam-6225	603	5	β+(=	β+(=	PROPN
ejpam-6225	603	6	)	)	PUNCT
ejpam-6225	603	7	)	)	PUNCT
ejpam-6225	604	1	t	t	PROPN
ejpam-6225	604	2	(	(	PUNCT
ejpam-6225	604	3	srl	srl	PROPN
ejpam-6225	604	4	β−(=),srl	β−(=),srl	PROPN
ejpam-6225	604	5	β−(=	β−(=	PROPN
ejpam-6225	604	6	)	)	PUNCT
ejpam-6225	604	7	)	)	PUNCT
ejpam-6225	605	1	=	=	PUNCT
ejpam-6225	606	1	psrl	psrl	PROPN
ejpam-6225	606	2	β	β	X
ejpam-6225	606	3	(	(	PUNCT
ejpam-6225	606	4	=)	=)	PROPN
ejpam-6225	606	5	t	t	PROPN
ejpam-6225	606	6	psrl	psrl	PROPN
ejpam-6225	606	7	β	β	X
ejpam-6225	606	8	(	(	PUNCT
ejpam-6225	606	9	ϑ	ϑ	NOUN
ejpam-6225	606	10	)	)	PUNCT
ejpam-6225	606	11	.	.	PUNCT
ejpam-6225	607	1	the	the	DET
ejpam-6225	607	2	other	other	ADJ
ejpam-6225	607	3	parts	part	NOUN
ejpam-6225	607	4	can	can	AUX
ejpam-6225	607	5	be	be	AUX
ejpam-6225	607	6	proved	prove	VERB
ejpam-6225	607	7	similarly	similarly	ADV
ejpam-6225	607	8	.	.	PUNCT
ejpam-6225	608	1	any	any	DET
ejpam-6225	608	2	one	one	NOUN
ejpam-6225	608	3	can	can	AUX
ejpam-6225	608	4	add	add	VERB
ejpam-6225	608	5	examples	example	NOUN
ejpam-6225	608	6	to	to	PART
ejpam-6225	608	7	induce	induce	VERB
ejpam-6225	608	8	that	that	SCONJ
ejpam-6225	608	9	the	the	DET
ejpam-6225	608	10	inclusions	inclusion	NOUN
ejpam-6225	608	11	in	in	ADP
ejpam-6225	608	12	parts	part	NOUN
ejpam-6225	608	13	(	(	PUNCT
ejpam-6225	608	14	3	3	NUM
ejpam-6225	608	15	)	)	PUNCT
ejpam-6225	608	16	and	and	CCONJ
ejpam-6225	608	17	(	(	PUNCT
ejpam-6225	608	18	5	5	NUM
ejpam-6225	608	19	)	)	PUNCT
ejpam-6225	608	20	in	in	ADP
ejpam-6225	608	21	theorem	theorem	ADJ
ejpam-6225	608	22	3.5	3.5	NUM
ejpam-6225	608	23	might	might	AUX
ejpam-6225	608	24	be	be	AUX
ejpam-6225	608	25	precise	precise	ADJ
ejpam-6225	608	26	.	.	PUNCT
ejpam-6225	609	1	d.	d.	PROPN
ejpam-6225	609	2	shi	shi	PROPN
ejpam-6225	609	3	et	et	PROPN
ejpam-6225	609	4	al	al	PROPN
ejpam-6225	609	5	.	.	PUNCT
ejpam-6225	609	6	/	/	SYM
ejpam-6225	609	7	eur	eur	PROPN
ejpam-6225	609	8	.	.	PUNCT
ejpam-6225	610	1	j.	j.	PROPN
ejpam-6225	610	2	pure	pure	PROPN
ejpam-6225	610	3	appl	appl	PROPN
ejpam-6225	610	4	.	.	PROPN
ejpam-6225	610	5	math	math	PROPN
ejpam-6225	610	6	,	,	PUNCT
ejpam-6225	610	7	18	18	NUM
ejpam-6225	610	8	(	(	PUNCT
ejpam-6225	610	9	4	4	NUM
ejpam-6225	610	10	)	)	PUNCT
ejpam-6225	610	11	(	(	PUNCT
ejpam-6225	610	12	2025	2025	NUM
ejpam-6225	610	13	)	)	PUNCT
ejpam-6225	610	14	,	,	PUNCT
ejpam-6225	610	15	6225	6225	NUM
ejpam-6225	610	16	16	16	NUM
ejpam-6225	610	17	of	of	ADP
ejpam-6225	610	18	36	36	NUM
ejpam-6225	610	19	proposition	proposition	NOUN
ejpam-6225	610	20	3.4	3.4	NUM
ejpam-6225	610	21	.	.	PUNCT
ejpam-6225	611	1	let	let	VERB
ejpam-6225	611	2	b	b	NOUN
ejpam-6225	611	3	=	=	SYM
ejpam-6225	611	4	(	(	PUNCT
ejpam-6225	611	5	f	f	X
ejpam-6225	611	6	,	,	PUNCT
ejpam-6225	611	7	g	g	NOUN
ejpam-6225	611	8	:	:	PUNCT
ejpam-6225	611	9	℘	℘	PROPN
ejpam-6225	611	10	)	)	PUNCT
ejpam-6225	611	11	∈	∈	PROPN
ejpam-6225	611	12	bssq	bssq	NOUN
ejpam-6225	611	13	,	,	PUNCT
ejpam-6225	611	14	l	l	NOUN
ejpam-6225	611	15	,	,	PUNCT
ejpam-6225	611	16	j	j	PROPN
ejpam-6225	611	17	be	be	VERB
ejpam-6225	611	18	two	two	NUM
ejpam-6225	611	19	ideals	ideal	NOUN
ejpam-6225	611	20	on	on	ADP
ejpam-6225	611	21	u	u	NOUN
ejpam-6225	611	22	and	and	CCONJ
ejpam-6225	611	23	let	let	VERB
ejpam-6225	611	24	=	=	SYM
ejpam-6225	611	25	⊆	⊆	NUM
ejpam-6225	611	26	q.	q.	NOUN
ejpam-6225	611	27	then	then	ADV
ejpam-6225	611	28	,	,	PUNCT
ejpam-6225	611	29	(	(	PUNCT
ejpam-6225	611	30	1	1	X
ejpam-6225	611	31	)	)	PUNCT
ejpam-6225	611	32	l	l	NOUN
ejpam-6225	612	1	⊆	⊆	NUM
ejpam-6225	612	2	j	j	X
ejpam-6225	612	3	=	=	X
ejpam-6225	612	4	⇒	⇒	PROPN
ejpam-6225	612	5	psrl	psrl	PROPN
ejpam-6225	612	6	β	β	X
ejpam-6225	612	7	(	(	PUNCT
ejpam-6225	612	8	=)	=)	PROPN
ejpam-6225	612	9	v	v	NUM
ejpam-6225	612	10	psrj	psrj	NOUN
ejpam-6225	612	11	β	β	X
ejpam-6225	612	12	(	(	PUNCT
ejpam-6225	612	13	=)	=)	PROPN
ejpam-6225	612	14	.	.	PUNCT
ejpam-6225	612	15	(	(	PUNCT
ejpam-6225	612	16	2	2	X
ejpam-6225	612	17	)	)	PUNCT
ejpam-6225	612	18	l	l	NOUN
ejpam-6225	612	19	⊆	⊆	NUM
ejpam-6225	612	20	j	j	X
ejpam-6225	612	21	=	=	X
ejpam-6225	612	22	⇒	⇒	PROPN
ejpam-6225	612	23	psr	psr	PROPN
ejpam-6225	612	24	j	j	PROPN
ejpam-6225	612	25	β	β	PROPN
ejpam-6225	612	26	(	(	PUNCT
ejpam-6225	612	27	=)	=)	PROPN
ejpam-6225	612	28	v	v	NUM
ejpam-6225	612	29	psr	psr	PROPN
ejpam-6225	612	30	l	l	NOUN
ejpam-6225	612	31	β	β	X
ejpam-6225	612	32	(	(	PUNCT
ejpam-6225	612	33	=)	=)	PROPN
ejpam-6225	612	34	.	.	PUNCT
ejpam-6225	612	35	proof	proof	NOUN
ejpam-6225	612	36	.	.	PUNCT
ejpam-6225	613	1	straightforward	straightforward	ADJ
ejpam-6225	613	2	by	by	ADP
ejpam-6225	613	3	theorems	theorem	NOUN
ejpam-6225	613	4	3.2	3.2	NUM
ejpam-6225	613	5	and	and	CCONJ
ejpam-6225	613	6	3.3	3.3	NUM
ejpam-6225	613	7	,	,	PUNCT
ejpam-6225	613	8	and	and	CCONJ
ejpam-6225	613	9	definition	definition	NOUN
ejpam-6225	613	10	3.2	3.2	NUM
ejpam-6225	613	11	.	.	PUNCT
ejpam-6225	614	1	the	the	DET
ejpam-6225	614	2	coming	come	VERB
ejpam-6225	614	3	example	example	NOUN
ejpam-6225	614	4	shows	show	VERB
ejpam-6225	614	5	that	that	SCONJ
ejpam-6225	614	6	the	the	DET
ejpam-6225	614	7	inclusions	inclusion	NOUN
ejpam-6225	614	8	in	in	ADP
ejpam-6225	614	9	the	the	DET
ejpam-6225	614	10	above	above	ADJ
ejpam-6225	614	11	proposition	proposition	NOUN
ejpam-6225	614	12	might	might	AUX
ejpam-6225	614	13	be	be	AUX
ejpam-6225	614	14	precise	precise	ADJ
ejpam-6225	614	15	.	.	PUNCT
ejpam-6225	615	1	example	example	NOUN
ejpam-6225	615	2	3.6	3.6	NUM
ejpam-6225	615	3	.	.	PUNCT
ejpam-6225	616	1	let	let	VERB
ejpam-6225	616	2	b	b	NOUN
ejpam-6225	616	3	=	=	SYM
ejpam-6225	616	4	(	(	PUNCT
ejpam-6225	616	5	f	f	X
ejpam-6225	616	6	,	,	PUNCT
ejpam-6225	616	7	g	g	NOUN
ejpam-6225	616	8	:	:	PUNCT
ejpam-6225	616	9	℘	℘	PROPN
ejpam-6225	616	10	)	)	PUNCT
ejpam-6225	616	11	∈	∈	PROPN
ejpam-6225	616	12	bssq	bssq	NOUN
ejpam-6225	616	13	and	and	CCONJ
ejpam-6225	616	14	q	q	NOUN
ejpam-6225	617	1	=	=	SYM
ejpam-6225	617	2	,	,	PUNCT
ejpam-6225	617	3	2ג.1ג	2ג.1ג	NUM
ejpam-6225	617	4	}	}	PUNCT
ejpam-6225	617	5	,	,	PUNCT
ejpam-6225	617	6	3ג	3ג	NUM
ejpam-6225	617	7	,	,	PUNCT
ejpam-6225	617	8	4ג	4ג	NOUN
ejpam-6225	617	9	{	{	PUNCT
ejpam-6225	617	10	5ג	5ג	NOUN
ejpam-6225	617	11	and	and	CCONJ
ejpam-6225	617	12	℘	℘	PROPN
ejpam-6225	617	13	=	=	SYM
ejpam-6225	617	14	{	{	PUNCT
ejpam-6225	617	15	ς1	ς1	NOUN
ejpam-6225	617	16	,	,	PUNCT
ejpam-6225	617	17	ς2	ς2	PROPN
ejpam-6225	617	18	,	,	PUNCT
ejpam-6225	617	19	ς3	ς3	NOUN
ejpam-6225	617	20	,	,	PUNCT
ejpam-6225	617	21	ς4	ς4	PROPN
ejpam-6225	617	22	}	}	PUNCT
ejpam-6225	617	23	.	.	PUNCT
ejpam-6225	618	1	the	the	DET
ejpam-6225	618	2	maps	maps	PROPN
ejpam-6225	618	3	f	f	PROPN
ejpam-6225	618	4	and	and	CCONJ
ejpam-6225	618	5	g	g	PROPN
ejpam-6225	618	6	are	be	AUX
ejpam-6225	618	7	as	as	ADV
ejpam-6225	618	8	follow	follow	VERB
ejpam-6225	618	9	:	:	PUNCT
ejpam-6225	618	10	f	f	X
ejpam-6225	618	11	:	:	PUNCT
ejpam-6225	618	12	℘	℘	VERB
ejpam-6225	618	13	−→	−→	NOUN
ejpam-6225	618	14	2q	2q	NOUN
ejpam-6225	618	15	,	,	PUNCT
ejpam-6225	618	16	ς	ς	PROPN
ejpam-6225	618	17	7→	7→	NUM
ejpam-6225	618	18			NUM
ejpam-6225	618	19	,	,	PUNCT
ejpam-6225	618	20	1ג	1ג	NUM
ejpam-6225	618	21	}	}	PUNCT
ejpam-6225	618	22	{	{	PUNCT
ejpam-6225	618	23	4ג	4ג	NOUN
ejpam-6225	618	24	,	,	PUNCT
ejpam-6225	618	25	if	if	SCONJ
ejpam-6225	618	26	ς	ς	PROPN
ejpam-6225	618	27	=	=	PUNCT
ejpam-6225	618	28	ς1	ς1	NOUN
ejpam-6225	618	29	,	,	PUNCT
ejpam-6225	618	30	{	{	PUNCT
ejpam-6225	618	31	5ג	5ג	NOUN
ejpam-6225	618	32	}	}	PUNCT
ejpam-6225	618	33	,	,	PUNCT
ejpam-6225	618	34	if	if	SCONJ
ejpam-6225	618	35	ς	ς	PROPN
ejpam-6225	618	36	=	=	SYM
ejpam-6225	618	37	ς2	ς2	PROPN
ejpam-6225	618	38	,	,	PUNCT
ejpam-6225	618	39	,	,	PUNCT
ejpam-6225	618	40	2ג	2ג	NUM
ejpam-6225	618	41	}	}	PUNCT
ejpam-6225	618	42	{	{	PUNCT
ejpam-6225	618	43	3ג	3ג	NUM
ejpam-6225	618	44	,	,	PUNCT
ejpam-6225	618	45	if	if	SCONJ
ejpam-6225	618	46	ς	ς	PROPN
ejpam-6225	618	47	=	=	SYM
ejpam-6225	618	48	ς3	ς3	PROPN
ejpam-6225	618	49	,	,	PUNCT
ejpam-6225	618	50	,	,	PUNCT
ejpam-6225	618	51	1ג	1ג	NUM
ejpam-6225	618	52	}	}	PUNCT
ejpam-6225	618	53	{	{	PUNCT
ejpam-6225	618	54	3ג	3ג	NUM
ejpam-6225	618	55	,	,	PUNCT
ejpam-6225	618	56	if	if	SCONJ
ejpam-6225	618	57	ς	ς	PROPN
ejpam-6225	618	58	=	=	SYM
ejpam-6225	618	59	ς4	ς4	PROPN
ejpam-6225	618	60	and	and	CCONJ
ejpam-6225	618	61	g	g	NOUN
ejpam-6225	618	62	:	:	PUNCT
ejpam-6225	618	63	ℵ	ℵ	X
ejpam-6225	618	64	−→	−→	NOUN
ejpam-6225	618	65	2q	2q	NOUN
ejpam-6225	618	66	,	,	PUNCT
ejpam-6225	618	67	¬ς	¬ς	PROPN
ejpam-6225	618	68	7→	7→	NUM
ejpam-6225	618	69			NUM
ejpam-6225	618	70	,	,	PUNCT
ejpam-6225	618	71	2ג	2ג	NUM
ejpam-6225	618	72	}	}	PUNCT
ejpam-6225	618	73	{	{	PUNCT
ejpam-6225	618	74	3ג	3ג	NUM
ejpam-6225	618	75	,	,	PUNCT
ejpam-6225	618	76	if	if	SCONJ
ejpam-6225	618	77	¬ς	¬ς	NOUN
ejpam-6225	618	78	=	=	SYM
ejpam-6225	618	79	¬ς1	¬ς1	ADV
ejpam-6225	618	80	,	,	PUNCT
ejpam-6225	618	81	,	,	PUNCT
ejpam-6225	618	82	1ג	1ג	NOUN
ejpam-6225	618	83	}	}	PUNCT
ejpam-6225	618	84	,	,	PUNCT
ejpam-6225	618	85	2ג	2ג	NUM
ejpam-6225	618	86	{	{	PUNCT
ejpam-6225	618	87	4ג	4ג	NOUN
ejpam-6225	618	88	,	,	PUNCT
ejpam-6225	618	89	if	if	SCONJ
ejpam-6225	618	90	¬ς	¬ς	NOUN
ejpam-6225	618	91	=	=	PUNCT
ejpam-6225	618	92	¬ς2	¬ς2	PROPN
ejpam-6225	618	93	,	,	PUNCT
ejpam-6225	618	94	{	{	PUNCT
ejpam-6225	618	95	4ג	4ג	NOUN
ejpam-6225	618	96	}	}	PUNCT
ejpam-6225	618	97	,	,	PUNCT
ejpam-6225	618	98	if	if	SCONJ
ejpam-6225	618	99	¬ς	¬ς	NOUN
ejpam-6225	618	100	=	=	SYM
ejpam-6225	618	101	¬ς3	¬ς3	NOUN
ejpam-6225	618	102	,	,	PUNCT
ejpam-6225	618	103	{	{	PUNCT
ejpam-6225	618	104	2ג	2ג	NOUN
ejpam-6225	618	105	}	}	PUNCT
ejpam-6225	618	106	,	,	PUNCT
ejpam-6225	618	107	if	if	SCONJ
ejpam-6225	618	108	¬ς	¬ς	NOUN
ejpam-6225	618	109	=	=	SYM
ejpam-6225	618	110	¬ς4	¬ς4	NOUN
ejpam-6225	618	111	.	.	PUNCT
ejpam-6225	619	1	consider	consider	VERB
ejpam-6225	619	2	tow	tow	NOUN
ejpam-6225	619	3	ideals	ideal	NOUN
ejpam-6225	619	4	defined	define	VERB
ejpam-6225	619	5	on	on	ADP
ejpam-6225	619	6	q	q	NOUN
ejpam-6225	619	7	as	as	ADP
ejpam-6225	619	8	l	l	NOUN
ejpam-6225	619	9	=	=	SYM
ejpam-6225	619	10	{	{	PUNCT
ejpam-6225	619	11	∅	∅	NOUN
ejpam-6225	619	12	,	,	PUNCT
ejpam-6225	619	13	{	{	PUNCT
ejpam-6225	619	14	{	{	PUNCT
ejpam-6225	619	15	1ג	1ג	NOUN
ejpam-6225	619	16	}	}	PUNCT
ejpam-6225	619	17	and	and	CCONJ
ejpam-6225	619	18	j	j	PROPN
ejpam-6225	619	19	=	=	SYM
ejpam-6225	619	20	{	{	PUNCT
ejpam-6225	619	21	∅	∅	NOUN
ejpam-6225	619	22	,	,	PUNCT
ejpam-6225	619	23	.{{4ג	.{{4ג	PROPN
ejpam-6225	619	24	}	}	PUNCT
ejpam-6225	619	25	let	let	VERB
ejpam-6225	620	1	=	=	PRON
ejpam-6225	620	2	=	=	X
ejpam-6225	620	3	,	,	PUNCT
ejpam-6225	620	4	1ג	1ג	NUM
ejpam-6225	620	5	}	}	PUNCT
ejpam-6225	620	6	,	,	PUNCT
ejpam-6225	620	7	{	{	PUNCT
ejpam-6225	620	8	5ג	5ג	NOUN
ejpam-6225	620	9	then	then	ADV
ejpam-6225	620	10	sr	sr	PROPN
ejpam-6225	620	11	l	l	PROPN
ejpam-6225	620	12	β+(=	β+(=	PROPN
ejpam-6225	620	13	)	)	PUNCT
ejpam-6225	620	14	=	=	PRON
ejpam-6225	620	15	{	{	PUNCT
ejpam-6225	620	16	5ג	5ג	NOUN
ejpam-6225	620	17	}	}	PUNCT
ejpam-6225	620	18	and	and	CCONJ
ejpam-6225	620	19	sr	sr	PROPN
ejpam-6225	621	1	l	l	NOUN
ejpam-6225	621	2	β−	β−	PUNCT
ejpam-6225	622	1	=	=	SYM
ejpam-6225	622	2	,	,	PUNCT
ejpam-6225	622	3	1ג	1ג	NUM
ejpam-6225	622	4	}	}	PUNCT
ejpam-6225	622	5	,	,	PUNCT
ejpam-6225	622	6	2ג	2ג	NUM
ejpam-6225	622	7	,	,	PUNCT
ejpam-6225	622	8	3ג	3ג	NUM
ejpam-6225	622	9	.{4ג	.{4ג	PUNCT
ejpam-6225	623	1	therefore	therefore	ADV
ejpam-6225	623	2	,	,	PUNCT
ejpam-6225	623	3	psr	psr	PROPN
ejpam-6225	623	4	l	l	PROPN
ejpam-6225	623	5	β	β	X
ejpam-6225	623	6	(	(	PUNCT
ejpam-6225	623	7	=)	=)	PROPN
ejpam-6225	623	8	=	=	SYM
ejpam-6225	623	9	{	{	PUNCT
ejpam-6225	623	10	5ג	5ג	NOUN
ejpam-6225	623	11	}	}	PUNCT
ejpam-6225	623	12	)	)	PUNCT
ejpam-6225	623	13	,	,	PUNCT
ejpam-6225	623	14	,	,	PUNCT
ejpam-6225	623	15	1ג	1ג	NOUN
ejpam-6225	623	16	}	}	PUNCT
ejpam-6225	623	17	,	,	PUNCT
ejpam-6225	623	18	2ג	2ג	NUM
ejpam-6225	623	19	,	,	PUNCT
ejpam-6225	623	20	3ג	3ג	NUM
ejpam-6225	623	21	.({4ג	.({4ג	PUNCT
ejpam-6225	623	22	also	also	ADV
ejpam-6225	623	23	,	,	PUNCT
ejpam-6225	623	24	sr	sr	PROPN
ejpam-6225	623	25	j	j	PROPN
ejpam-6225	623	26	β+(=	β+(=	PROPN
ejpam-6225	623	27	)	)	PUNCT
ejpam-6225	623	28	=	=	NOUN
ejpam-6225	623	29	,	,	PUNCT
ejpam-6225	623	30	1ג	1ג	NUM
ejpam-6225	623	31	}	}	PUNCT
ejpam-6225	623	32	,	,	PUNCT
ejpam-6225	623	33	4ג	4ג	NOUN
ejpam-6225	623	34	{	{	PUNCT
ejpam-6225	623	35	5ג	5ג	NOUN
ejpam-6225	623	36	and	and	CCONJ
ejpam-6225	623	37	sr	sr	PROPN
ejpam-6225	623	38	j	j	PROPN
ejpam-6225	623	39	β−(=	β−(=	PROPN
ejpam-6225	623	40	)	)	PUNCT
ejpam-6225	623	41	=	=	SYM
ejpam-6225	623	42	,	,	PUNCT
ejpam-6225	623	43	2ג	2ג	NUM
ejpam-6225	623	44	}	}	PUNCT
ejpam-6225	623	45	,	,	PUNCT
ejpam-6225	623	46	3ג	3ג	NUM
ejpam-6225	623	47	.{4ג	.{4ג	PUNCT
ejpam-6225	624	1	therefore	therefore	ADV
ejpam-6225	624	2	,	,	PUNCT
ejpam-6225	624	3	psr	psr	PROPN
ejpam-6225	624	4	l	l	PROPN
ejpam-6225	624	5	β	β	X
ejpam-6225	624	6	(	(	PUNCT
ejpam-6225	624	7	=)	=)	PROPN
ejpam-6225	624	8	=	=	SYM
ejpam-6225	624	9	,	,	PUNCT
ejpam-6225	624	10	1ג	1ג	NUM
ejpam-6225	624	11	}	}	PUNCT
ejpam-6225	624	12	)	)	PUNCT
ejpam-6225	624	13	,	,	PUNCT
ejpam-6225	624	14	3ג	3ג	NUM
ejpam-6225	624	15	,	,	PUNCT
ejpam-6225	624	16	4ג	4ג	NOUN
ejpam-6225	624	17	{	{	PUNCT
ejpam-6225	624	18	5ג	5ג	NOUN
ejpam-6225	624	19	,	,	PUNCT
ejpam-6225	624	20	,	,	PUNCT
ejpam-6225	624	21	1ג	1ג	NOUN
ejpam-6225	624	22	}	}	PUNCT
ejpam-6225	624	23	,	,	PUNCT
ejpam-6225	624	24	2ג	2ג	NUM
ejpam-6225	624	25	,	,	PUNCT
ejpam-6225	624	26	3ג	3ג	NUM
ejpam-6225	624	27	.({4ג	.({4ג	PUNCT
ejpam-6225	625	1	this	this	PRON
ejpam-6225	625	2	means	mean	VERB
ejpam-6225	625	3	that	that	SCONJ
ejpam-6225	625	4	psr	psr	PROPN
ejpam-6225	625	5	l	l	NOUN
ejpam-6225	625	6	β	β	X
ejpam-6225	625	7	(	(	PUNCT
ejpam-6225	625	8	=)	=)	PROPN
ejpam-6225	625	9	v	v	NUM
ejpam-6225	625	10	psr	psr	PROPN
ejpam-6225	625	11	j	j	PROPN
ejpam-6225	625	12	β	β	X
ejpam-6225	625	13	(	(	PUNCT
ejpam-6225	625	14	=)	=)	INTJ
ejpam-6225	625	15	but	but	CCONJ
ejpam-6225	625	16	l	l	PROPN
ejpam-6225	625	17	*	*	PUNCT
ejpam-6225	625	18	j	j	PROPN
ejpam-6225	625	19	.	.	PUNCT
ejpam-6225	626	1	proposition	proposition	NOUN
ejpam-6225	626	2	3.5	3.5	NUM
ejpam-6225	626	3	.	.	PUNCT
ejpam-6225	627	1	let	let	VERB
ejpam-6225	627	2	b	b	NOUN
ejpam-6225	627	3	=	=	SYM
ejpam-6225	627	4	(	(	PUNCT
ejpam-6225	627	5	f	f	X
ejpam-6225	627	6	,	,	PUNCT
ejpam-6225	627	7	g	g	NOUN
ejpam-6225	627	8	:	:	PUNCT
ejpam-6225	627	9	℘	℘	PROPN
ejpam-6225	627	10	)	)	PUNCT
ejpam-6225	627	11	∈	∈	PROPN
ejpam-6225	627	12	bssq	bssq	NOUN
ejpam-6225	627	13	,	,	PUNCT
ejpam-6225	627	14	l	l	NOUN
ejpam-6225	627	15	,	,	PUNCT
ejpam-6225	627	16	j	j	PROPN
ejpam-6225	627	17	be	be	VERB
ejpam-6225	627	18	two	two	NUM
ejpam-6225	627	19	ideals	ideal	NOUN
ejpam-6225	627	20	on	on	ADP
ejpam-6225	627	21	u	u	PROPN
ejpam-6225	627	22	.	.	PUNCT
ejpam-6225	628	1	let	let	VERB
ejpam-6225	628	2	=	=	SYM
ejpam-6225	629	1	⊆	⊆	NUM
ejpam-6225	629	2	q.	q.	NOUN
ejpam-6225	629	3	then	then	ADV
ejpam-6225	629	4	,	,	PUNCT
ejpam-6225	629	5	the	the	DET
ejpam-6225	629	6	following	follow	VERB
ejpam-6225	629	7	properties	property	NOUN
ejpam-6225	629	8	hold	hold	VERB
ejpam-6225	629	9	(	(	PUNCT
ejpam-6225	629	10	1	1	NUM
ejpam-6225	629	11	)	)	PUNCT
ejpam-6225	629	12	sr	sr	PROPN
ejpam-6225	629	13	(	(	PUNCT
ejpam-6225	629	14	l	l	PROPN
ejpam-6225	629	15	∩j	∩j	PROPN
ejpam-6225	629	16	)	)	PUNCT
ejpam-6225	629	17	β+	β+	PUNCT
ejpam-6225	629	18	(	(	PUNCT
ejpam-6225	629	19	=)	=)	SYM
ejpam-6225	629	20	=	=	SYM
ejpam-6225	629	21	srl	srl	PROPN
ejpam-6225	629	22	β+(=	β+(=	NOUN
ejpam-6225	629	23	)	)	PUNCT
ejpam-6225	629	24	∩	∩	ADJ
ejpam-6225	629	25	srj	srj	NOUN
ejpam-6225	629	26	β+(=	β+(=	PROPN
ejpam-6225	629	27	)	)	PUNCT
ejpam-6225	629	28	;	;	PUNCT
ejpam-6225	629	29	(	(	PUNCT
ejpam-6225	629	30	2	2	X
ejpam-6225	629	31	)	)	PUNCT
ejpam-6225	629	32	sr	sr	NOUN
ejpam-6225	629	33	(	(	PUNCT
ejpam-6225	629	34	l	l	PROPN
ejpam-6225	629	35	∩j	∩j	PROPN
ejpam-6225	629	36	)	)	PUNCT
ejpam-6225	629	37	β−	β−	PUNCT
ejpam-6225	630	1	(	(	PUNCT
ejpam-6225	630	2	=)	=)	SYM
ejpam-6225	630	3	=	=	SYM
ejpam-6225	630	4	srl	srl	PROPN
ejpam-6225	630	5	β−(=	β−(=	PROPN
ejpam-6225	630	6	)	)	PUNCT
ejpam-6225	630	7	∪	∪	ADP
ejpam-6225	630	8	srj	srj	NOUN
ejpam-6225	630	9	β−(=	β−(=	NOUN
ejpam-6225	630	10	)	)	PUNCT
ejpam-6225	630	11	;	;	PUNCT
ejpam-6225	630	12	(	(	PUNCT
ejpam-6225	630	13	3	3	X
ejpam-6225	630	14	)	)	PUNCT
ejpam-6225	630	15	sr	sr	NOUN
ejpam-6225	630	16	(	(	PUNCT
ejpam-6225	630	17	l	l	NOUN
ejpam-6225	630	18	∪j	∪j	NUM
ejpam-6225	630	19	)	)	PUNCT
ejpam-6225	630	20	β+	β+	PUNCT
ejpam-6225	630	21	(	(	PUNCT
ejpam-6225	630	22	=)	=)	SYM
ejpam-6225	630	23	=	=	SYM
ejpam-6225	630	24	srl	srl	PROPN
ejpam-6225	630	25	β+(=	β+(=	NOUN
ejpam-6225	630	26	)	)	PUNCT
ejpam-6225	630	27	∪	∪	ADP
ejpam-6225	630	28	srj	srj	NOUN
ejpam-6225	630	29	β+(=	β+(=	PROPN
ejpam-6225	630	30	)	)	PUNCT
ejpam-6225	630	31	;	;	PUNCT
ejpam-6225	630	32	(	(	PUNCT
ejpam-6225	630	33	4	4	X
ejpam-6225	630	34	)	)	PUNCT
ejpam-6225	630	35	sr	sr	NOUN
ejpam-6225	630	36	(	(	PUNCT
ejpam-6225	630	37	l	l	NOUN
ejpam-6225	630	38	∪j	∪j	X
ejpam-6225	630	39	)	)	PUNCT
ejpam-6225	630	40	β−	β−	PUNCT
ejpam-6225	631	1	(	(	PUNCT
ejpam-6225	631	2	=)	=)	PROPN
ejpam-6225	631	3	=	=	SYM
ejpam-6225	631	4	srl	srl	PROPN
ejpam-6225	631	5	β−(=	β−(=	NOUN
ejpam-6225	631	6	)	)	PUNCT
ejpam-6225	631	7	∩	∩	ADJ
ejpam-6225	631	8	srj	srj	NOUN
ejpam-6225	631	9	β−(=	β−(=	NOUN
ejpam-6225	631	10	)	)	PUNCT
ejpam-6225	631	11	;	;	PUNCT
ejpam-6225	631	12	proof	proof	NOUN
ejpam-6225	631	13	.	.	PUNCT
ejpam-6225	632	1	(	(	PUNCT
ejpam-6225	632	2	1	1	X
ejpam-6225	632	3	)	)	PUNCT
ejpam-6225	632	4	sr	sr	PROPN
ejpam-6225	632	5	(	(	PUNCT
ejpam-6225	632	6	l	l	PROPN
ejpam-6225	632	7	∩j	∩j	PROPN
ejpam-6225	632	8	)	)	PUNCT
ejpam-6225	632	9	β+	β+	PUNCT
ejpam-6225	632	10	(	(	PUNCT
ejpam-6225	632	11	=)	=)	SYM
ejpam-6225	632	12	=	=	SYM
ejpam-6225	632	13	⋃	⋃	NOUN
ejpam-6225	632	14	{	{	PUNCT
ejpam-6225	632	15	f(ς	f(ς	PROPN
ejpam-6225	632	16	)	)	PUNCT
ejpam-6225	632	17	,	,	PUNCT
ejpam-6225	632	18	ς	ς	PROPN
ejpam-6225	632	19	∈	∈	PROPN
ejpam-6225	632	20	℘	℘	PROPN
ejpam-6225	632	21	:	:	PUNCT
ejpam-6225	632	22	f(ς	f(ς	PROPN
ejpam-6225	632	23	)	)	PUNCT
ejpam-6225	632	24	∩	∩	NOUN
ejpam-6225	632	25	=	=	SYM
ejpam-6225	632	26	c	c	X
ejpam-6225	632	27	∈	∈	PROPN
ejpam-6225	632	28	(	(	PUNCT
ejpam-6225	632	29	l	l	NOUN
ejpam-6225	632	30	∩	∩	X
ejpam-6225	632	31	j	j	PROPN
ejpam-6225	632	32	)	)	PUNCT
ejpam-6225	632	33	}	}	PUNCT
ejpam-6225	632	34	=	=	PUNCT
ejpam-6225	633	1	[	[	X
ejpam-6225	633	2	⋃	⋃	ADV
ejpam-6225	633	3	{	{	PUNCT
ejpam-6225	633	4	f(ς	f(ς	PROPN
ejpam-6225	633	5	)	)	PUNCT
ejpam-6225	633	6	,	,	PUNCT
ejpam-6225	633	7	ς	ς	PROPN
ejpam-6225	633	8	∈	∈	PROPN
ejpam-6225	633	9	℘	℘	PROPN
ejpam-6225	633	10	:	:	PUNCT
ejpam-6225	633	11	f(ς	f(ς	PROPN
ejpam-6225	633	12	)	)	PUNCT
ejpam-6225	633	13	∩	∩	NOUN
ejpam-6225	633	14	=	=	SYM
ejpam-6225	633	15	c	c	NOUN
ejpam-6225	633	16	∈	∈	NOUN
ejpam-6225	633	17	l	l	NOUN
ejpam-6225	633	18	}	}	PUNCT
ejpam-6225	633	19	]	]	PUNCT
ejpam-6225	633	20	and	and	CCONJ
ejpam-6225	633	21	[	[	X
ejpam-6225	633	22	⋃	⋃	ADV
ejpam-6225	633	23	{	{	PUNCT
ejpam-6225	633	24	f(ς	f(ς	PROPN
ejpam-6225	633	25	)	)	PUNCT
ejpam-6225	633	26	,	,	PUNCT
ejpam-6225	633	27	ς	ς	PROPN
ejpam-6225	633	28	∈	∈	PROPN
ejpam-6225	633	29	℘	℘	PROPN
ejpam-6225	633	30	:	:	PUNCT
ejpam-6225	633	31	f(ς	f(ς	PROPN
ejpam-6225	633	32	)	)	PUNCT
ejpam-6225	633	33	∩	∩	NOUN
ejpam-6225	633	34	=	=	SYM
ejpam-6225	633	35	c	c	PROPN
ejpam-6225	633	36	∈	∈	PROPN
ejpam-6225	633	37	j	j	PROPN
ejpam-6225	633	38	}	}	PUNCT
ejpam-6225	633	39	]	]	PUNCT
ejpam-6225	633	40	=	=	PUNCT
ejpam-6225	634	1	[	[	X
ejpam-6225	634	2	⋃	⋃	ADV
ejpam-6225	634	3	{	{	PUNCT
ejpam-6225	634	4	f(ς	f(ς	PROPN
ejpam-6225	634	5	)	)	PUNCT
ejpam-6225	634	6	,	,	PUNCT
ejpam-6225	634	7	ς	ς	PROPN
ejpam-6225	634	8	∈	∈	PROPN
ejpam-6225	634	9	℘	℘	PROPN
ejpam-6225	634	10	:	:	PUNCT
ejpam-6225	634	11	f(ς	f(ς	PROPN
ejpam-6225	634	12	)	)	PUNCT
ejpam-6225	634	13	∩	∩	NOUN
ejpam-6225	634	14	=	=	SYM
ejpam-6225	634	15	c	c	NOUN
ejpam-6225	634	16	∈	∈	NOUN
ejpam-6225	634	17	l	l	NOUN
ejpam-6225	634	18	}	}	PUNCT
ejpam-6225	634	19	]	]	PUNCT
ejpam-6225	634	20	∩	∩	NOUN
ejpam-6225	634	21	[	[	X
ejpam-6225	634	22	⋃	⋃	ADV
ejpam-6225	634	23	{	{	PUNCT
ejpam-6225	634	24	f(ς	f(ς	PROPN
ejpam-6225	634	25	)	)	PUNCT
ejpam-6225	634	26	,	,	PUNCT
ejpam-6225	634	27	ς	ς	PROPN
ejpam-6225	634	28	∈	∈	PROPN
ejpam-6225	634	29	℘	℘	PROPN
ejpam-6225	634	30	:	:	PUNCT
ejpam-6225	634	31	f(ς	f(ς	PROPN
ejpam-6225	634	32	)	)	PUNCT
ejpam-6225	634	33	∩	∩	NOUN
ejpam-6225	634	34	=	=	SYM
ejpam-6225	634	35	c	c	PROPN
ejpam-6225	634	36	∈	∈	PROPN
ejpam-6225	634	37	j	j	PROPN
ejpam-6225	634	38	}	}	PUNCT
ejpam-6225	634	39	]	]	PUNCT
ejpam-6225	634	40	=	=	PUNCT
ejpam-6225	634	41	srl	srl	PROPN
ejpam-6225	634	42	β+(=	β+(=	NOUN
ejpam-6225	634	43	)	)	PUNCT
ejpam-6225	634	44	∩	∩	ADJ
ejpam-6225	634	45	srj	srj	NOUN
ejpam-6225	634	46	β+(=	β+(=	PROPN
ejpam-6225	634	47	)	)	PUNCT
ejpam-6225	634	48	.	.	PUNCT
ejpam-6225	635	1	the	the	DET
ejpam-6225	635	2	other	other	ADJ
ejpam-6225	635	3	parts	part	NOUN
ejpam-6225	635	4	can	can	AUX
ejpam-6225	635	5	be	be	AUX
ejpam-6225	635	6	proved	prove	VERB
ejpam-6225	635	7	similarly	similarly	ADV
ejpam-6225	635	8	.	.	PUNCT
ejpam-6225	636	1	theorem	theorem	VERB
ejpam-6225	636	2	3.6	3.6	NUM
ejpam-6225	636	3	.	.	PUNCT
ejpam-6225	637	1	let	let	VERB
ejpam-6225	637	2	b	b	NOUN
ejpam-6225	637	3	=	=	SYM
ejpam-6225	637	4	(	(	PUNCT
ejpam-6225	637	5	f	f	X
ejpam-6225	637	6	,	,	PUNCT
ejpam-6225	637	7	g	g	NOUN
ejpam-6225	637	8	:	:	PUNCT
ejpam-6225	637	9	℘	℘	PROPN
ejpam-6225	637	10	)	)	PUNCT
ejpam-6225	637	11	∈	∈	PROPN
ejpam-6225	637	12	bssq	bssq	NOUN
ejpam-6225	637	13	,	,	PUNCT
ejpam-6225	637	14	l	l	NOUN
ejpam-6225	637	15	,	,	PUNCT
ejpam-6225	637	16	j	j	PROPN
ejpam-6225	637	17	be	be	VERB
ejpam-6225	637	18	two	two	NUM
ejpam-6225	637	19	ideals	ideal	NOUN
ejpam-6225	637	20	on	on	ADP
ejpam-6225	637	21	u	u	PROPN
ejpam-6225	637	22	.	.	PUNCT
ejpam-6225	638	1	let	let	VERB
ejpam-6225	638	2	=	=	SYM
ejpam-6225	639	1	⊆	⊆	NUM
ejpam-6225	639	2	q.	q.	NOUN
ejpam-6225	639	3	then	then	ADV
ejpam-6225	639	4	,	,	PUNCT
ejpam-6225	639	5	the	the	DET
ejpam-6225	639	6	following	follow	VERB
ejpam-6225	639	7	properties	property	NOUN
ejpam-6225	639	8	hold	hold	VERB
ejpam-6225	639	9	d.	d.	PROPN
ejpam-6225	639	10	shi	shi	PROPN
ejpam-6225	639	11	et	et	PROPN
ejpam-6225	639	12	al	al	PROPN
ejpam-6225	639	13	.	.	PUNCT
ejpam-6225	639	14	/	/	SYM
ejpam-6225	639	15	eur	eur	PROPN
ejpam-6225	639	16	.	.	PUNCT
ejpam-6225	640	1	j.	j.	PROPN
ejpam-6225	640	2	pure	pure	PROPN
ejpam-6225	640	3	appl	appl	PROPN
ejpam-6225	640	4	.	.	PROPN
ejpam-6225	640	5	math	math	PROPN
ejpam-6225	640	6	,	,	PUNCT
ejpam-6225	640	7	18	18	NUM
ejpam-6225	640	8	(	(	PUNCT
ejpam-6225	640	9	4	4	NUM
ejpam-6225	640	10	)	)	PUNCT
ejpam-6225	640	11	(	(	PUNCT
ejpam-6225	640	12	2025	2025	NUM
ejpam-6225	640	13	)	)	PUNCT
ejpam-6225	640	14	,	,	PUNCT
ejpam-6225	640	15	6225	6225	NUM
ejpam-6225	640	16	17	17	NUM
ejpam-6225	640	17	of	of	ADP
ejpam-6225	640	18	36	36	NUM
ejpam-6225	640	19	(	(	PUNCT
ejpam-6225	640	20	1	1	NUM
ejpam-6225	640	21	)	)	PUNCT
ejpam-6225	640	22	psr	psr	NOUN
ejpam-6225	640	23	(	(	PUNCT
ejpam-6225	640	24	l	l	NOUN
ejpam-6225	640	25	∩j	∩j	PROPN
ejpam-6225	640	26	)	)	PUNCT
ejpam-6225	641	1	β	β	X
ejpam-6225	641	2	(	(	PUNCT
ejpam-6225	641	3	=)	=)	PROPN
ejpam-6225	641	4	=	=	SYM
ejpam-6225	641	5	psrl	psrl	PROPN
ejpam-6225	642	1	β	β	X
ejpam-6225	642	2	(	(	PUNCT
ejpam-6225	642	3	=)	=)	PROPN
ejpam-6225	642	4	u	u	NOUN
ejpam-6225	642	5	psrj	psrj	NOUN
ejpam-6225	642	6	β	β	X
ejpam-6225	642	7	(	(	PUNCT
ejpam-6225	642	8	=)	=)	PROPN
ejpam-6225	642	9	;	;	PUNCT
ejpam-6225	642	10	(	(	PUNCT
ejpam-6225	642	11	2	2	X
ejpam-6225	642	12	)	)	PUNCT
ejpam-6225	642	13	psr	psr	NOUN
ejpam-6225	642	14	(	(	PUNCT
ejpam-6225	642	15	l	l	NOUN
ejpam-6225	642	16	∪j	∪j	X
ejpam-6225	642	17	)	)	PUNCT
ejpam-6225	642	18	β	β	X
ejpam-6225	642	19	(	(	PUNCT
ejpam-6225	642	20	=)	=)	PROPN
ejpam-6225	642	21	=	=	SYM
ejpam-6225	642	22	psrl	psrl	PROPN
ejpam-6225	642	23	β	β	X
ejpam-6225	642	24	(	(	PUNCT
ejpam-6225	642	25	=)	=)	PROPN
ejpam-6225	642	26	t	t	PROPN
ejpam-6225	642	27	psrj	psrj	NOUN
ejpam-6225	642	28	β	β	X
ejpam-6225	642	29	(	(	PUNCT
ejpam-6225	642	30	=)	=)	PROPN
ejpam-6225	642	31	.	.	PUNCT
ejpam-6225	642	32	proof	proof	NOUN
ejpam-6225	642	33	.	.	PUNCT
ejpam-6225	643	1	the	the	DET
ejpam-6225	643	2	proofs	proof	NOUN
ejpam-6225	643	3	are	be	AUX
ejpam-6225	643	4	obvious	obvious	ADJ
ejpam-6225	643	5	from	from	ADP
ejpam-6225	643	6	proposition	proposition	NOUN
ejpam-6225	643	7	3.5	3.5	NUM
ejpam-6225	643	8	.	.	PUNCT
ejpam-6225	644	1	proposition	proposition	NOUN
ejpam-6225	644	2	3.6	3.6	NUM
ejpam-6225	644	3	.	.	PUNCT
ejpam-6225	645	1	let	let	VERB
ejpam-6225	645	2	b	b	NOUN
ejpam-6225	645	3	=	=	SYM
ejpam-6225	645	4	(	(	PUNCT
ejpam-6225	645	5	f	f	X
ejpam-6225	645	6	,	,	PUNCT
ejpam-6225	645	7	g	g	NOUN
ejpam-6225	645	8	:	:	PUNCT
ejpam-6225	645	9	℘	℘	PROPN
ejpam-6225	645	10	)	)	PUNCT
ejpam-6225	645	11	∈	∈	PROPN
ejpam-6225	645	12	bssq	bssq	NOUN
ejpam-6225	645	13	and	and	CCONJ
ejpam-6225	645	14	βl	βl	NOUN
ejpam-6225	645	15	=	=	PUNCT
ejpam-6225	645	16	(	(	PUNCT
ejpam-6225	645	17	q	q	ADJ
ejpam-6225	645	18	,	,	PUNCT
ejpam-6225	645	19	(	(	PUNCT
ejpam-6225	645	20	f	f	X
ejpam-6225	645	21	,	,	PUNCT
ejpam-6225	645	22	g	g	NOUN
ejpam-6225	645	23	:	:	PUNCT
ejpam-6225	645	24	℘	℘	NUM
ejpam-6225	645	25	)	)	PUNCT
ejpam-6225	645	26	,	,	PUNCT
ejpam-6225	645	27	l	l	NOUN
ejpam-6225	645	28	)	)	PUNCT
ejpam-6225	645	29	be	be	AUX
ejpam-6225	645	30	ibsa	ibsa	NOUN
ejpam-6225	645	31	-	-	NOUN
ejpam-6225	645	32	space	space	NOUN
ejpam-6225	645	33	.	.	PUNCT
ejpam-6225	646	1	if	if	SCONJ
ejpam-6225	646	2	f	f	PROPN
ejpam-6225	646	3	is	be	AUX
ejpam-6225	646	4	the	the	DET
ejpam-6225	646	5	intersection	intersection	NOUN
ejpam-6225	646	6	complete	complete	ADJ
ejpam-6225	646	7	soft	soft	ADJ
ejpam-6225	646	8	set	set	NOUN
ejpam-6225	646	9	,	,	PUNCT
ejpam-6225	646	10	then	then	ADV
ejpam-6225	646	11	psrl	psrl	PROPN
ejpam-6225	646	12	β	β	X
ejpam-6225	646	13	(=	(=	X
ejpam-6225	646	14	∩	∩	NOUN
ejpam-6225	646	15	ϑ	ϑ	X
ejpam-6225	646	16	)	)	PUNCT
ejpam-6225	646	17	⊆	⊆	NUM
ejpam-6225	646	18	psrl	psrl	PROPN
ejpam-6225	646	19	β	β	X
ejpam-6225	646	20	(	(	PUNCT
ejpam-6225	646	21	=)	=)	PROPN
ejpam-6225	646	22	u	u	PROPN
ejpam-6225	646	23	psrl	psrl	PROPN
ejpam-6225	646	24	β	β	X
ejpam-6225	646	25	(	(	PUNCT
ejpam-6225	646	26	ϑ	ϑ	NOUN
ejpam-6225	646	27	)	)	PUNCT
ejpam-6225	646	28	for	for	ADP
ejpam-6225	646	29	all	all	DET
ejpam-6225	646	30	=	=	NOUN
ejpam-6225	646	31	,	,	PUNCT
ejpam-6225	646	32	ϑ	ϑ	ADJ
ejpam-6225	646	33	⊆	⊆	NUM
ejpam-6225	646	34	u.	u.	NOUN
ejpam-6225	646	35	proof	proof	NOUN
ejpam-6225	646	36	.	.	PUNCT
ejpam-6225	647	1	from	from	ADP
ejpam-6225	647	2	[	[	X
ejpam-6225	647	3	20	20	NUM
ejpam-6225	647	4	]	]	PUNCT
ejpam-6225	647	5	srl	srl	PROPN
ejpam-6225	647	6	β+(=	β+(=	PROPN
ejpam-6225	647	7	∩	∩	PROPN
ejpam-6225	647	8	ϑ	ϑ	NOUN
ejpam-6225	647	9	)	)	PUNCT
ejpam-6225	647	10	=	=	SYM
ejpam-6225	647	11	srl	srl	PROPN
ejpam-6225	647	12	β+(=	β+(=	NOUN
ejpam-6225	647	13	)	)	PUNCT
ejpam-6225	647	14	∩	∩	PROPN
ejpam-6225	647	15	srl	srl	PROPN
ejpam-6225	647	16	β+(ϑ	β+(ϑ	NOUN
ejpam-6225	647	17	)	)	PUNCT
ejpam-6225	647	18	.	.	PUNCT
ejpam-6225	648	1	by	by	ADP
ejpam-6225	648	2	theorem	theorem	NOUN
ejpam-6225	648	3	3.3	3.3	NUM
ejpam-6225	648	4	,	,	PUNCT
ejpam-6225	648	5	srl	srl	PROPN
ejpam-6225	648	6	β−(=	β−(=	PROPN
ejpam-6225	648	7	∩	∩	PROPN
ejpam-6225	648	8	ϑ	ϑ	X
ejpam-6225	648	9	)	)	PUNCT
ejpam-6225	648	10	⊇	⊇	PROPN
ejpam-6225	648	11	srl	srl	PROPN
ejpam-6225	648	12	β−(=	β−(=	PROPN
ejpam-6225	648	13	)	)	PUNCT
ejpam-6225	648	14	∪srl	∪srl	PROPN
ejpam-6225	648	15	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	648	16	)	)	PUNCT
ejpam-6225	648	17	.	.	PUNCT
ejpam-6225	649	1	therefore	therefore	ADV
ejpam-6225	649	2	,	,	PUNCT
ejpam-6225	649	3	ϑl	ϑl	PROPN
ejpam-6225	649	4	p	p	X
ejpam-6225	649	5	(=	(=	X
ejpam-6225	649	6	∩	∩	NOUN
ejpam-6225	649	7	ϑ	ϑ	NOUN
ejpam-6225	649	8	)	)	PUNCT
ejpam-6225	649	9	⊆	⊆	NUM
ejpam-6225	649	10	ϑl	ϑl	NOUN
ejpam-6225	649	11	p	p	X
ejpam-6225	649	12	(	(	PUNCT
ejpam-6225	649	13	=)	=)	PROPN
ejpam-6225	649	14	u	u	NOUN
ejpam-6225	649	15	ϑl	ϑl	ADP
ejpam-6225	649	16	p	p	X
ejpam-6225	649	17	(	(	PUNCT
ejpam-6225	649	18	ϑ	ϑ	NOUN
ejpam-6225	649	19	)	)	PUNCT
ejpam-6225	649	20	by	by	ADP
ejpam-6225	649	21	definitions	definition	NOUN
ejpam-6225	649	22	3.2	3.2	NUM
ejpam-6225	649	23	and	and	CCONJ
ejpam-6225	649	24	3.4	3.4	NUM
ejpam-6225	649	25	.	.	PUNCT
ejpam-6225	650	1	definition	definition	NOUN
ejpam-6225	650	2	3.5	3.5	NUM
ejpam-6225	650	3	.	.	PUNCT
ejpam-6225	651	1	let	let	VERB
ejpam-6225	651	2	b	b	NOUN
ejpam-6225	651	3	=	=	SYM
ejpam-6225	651	4	(	(	PUNCT
ejpam-6225	651	5	f	f	X
ejpam-6225	651	6	,	,	PUNCT
ejpam-6225	651	7	g	g	NOUN
ejpam-6225	651	8	:	:	PUNCT
ejpam-6225	651	9	℘	℘	PROPN
ejpam-6225	651	10	)	)	PUNCT
ejpam-6225	651	11	∈	∈	PROPN
ejpam-6225	651	12	bssq	bssq	NOUN
ejpam-6225	651	13	and	and	CCONJ
ejpam-6225	651	14	βl	βl	NOUN
ejpam-6225	651	15	=	=	PUNCT
ejpam-6225	651	16	(	(	PUNCT
ejpam-6225	651	17	q	q	ADJ
ejpam-6225	651	18	,	,	PUNCT
ejpam-6225	651	19	(	(	PUNCT
ejpam-6225	651	20	f	f	X
ejpam-6225	651	21	,	,	PUNCT
ejpam-6225	651	22	g	g	NOUN
ejpam-6225	651	23	:	:	PUNCT
ejpam-6225	651	24	℘	℘	NUM
ejpam-6225	651	25	)	)	PUNCT
ejpam-6225	651	26	,	,	PUNCT
ejpam-6225	651	27	l	l	NOUN
ejpam-6225	651	28	)	)	PUNCT
ejpam-6225	651	29	be	be	AUX
ejpam-6225	651	30	ibsa	ibsa	NOUN
ejpam-6225	651	31	-	-	PUNCT
ejpam-6225	651	32	space	space	NOUN
ejpam-6225	651	33	and	and	CCONJ
ejpam-6225	651	34	let	let	VERB
ejpam-6225	651	35	=	=	SYM
ejpam-6225	651	36	⊆	⊆	NUM
ejpam-6225	651	37	u	u	NOUN
ejpam-6225	651	38	.	.	PUNCT
ejpam-6225	652	1	then	then	ADV
ejpam-6225	652	2	,	,	PUNCT
ejpam-6225	652	3	the	the	DET
ejpam-6225	652	4	complement	complement	NOUN
ejpam-6225	652	5	of	of	ADP
ejpam-6225	652	6	the	the	DET
ejpam-6225	652	7	ideal	ideal	ADJ
ejpam-6225	652	8	bipolar	bipolar	ADJ
ejpam-6225	652	9	soft	soft	ADJ
ejpam-6225	652	10	la	la	ADJ
ejpam-6225	652	11	and	and	CCONJ
ejpam-6225	652	12	ideal	ideal	ADJ
ejpam-6225	652	13	bipolar	bipolar	ADJ
ejpam-6225	652	14	soft	soft	ADJ
ejpam-6225	652	15	ua	ua	NOUN
ejpam-6225	652	16	=	=	PUNCT
ejpam-6225	652	17	with	with	ADP
ejpam-6225	652	18	respect	respect	NOUN
ejpam-6225	652	19	to	to	ADP
ejpam-6225	652	20	the	the	DET
ejpam-6225	652	21	ibsa	ibsa	NOUN
ejpam-6225	652	22	-	-	PUNCT
ejpam-6225	652	23	space	space	NOUN
ejpam-6225	652	24	are	be	AUX
ejpam-6225	652	25	defined	define	VERB
ejpam-6225	652	26	respectively	respectively	ADV
ejpam-6225	652	27	by	by	ADP
ejpam-6225	652	28	(	(	PUNCT
ejpam-6225	652	29	psrl	psrl	PROPN
ejpam-6225	652	30	β	β	X
ejpam-6225	652	31	(=	(=	NOUN
ejpam-6225	652	32	)	)	PUNCT
ejpam-6225	652	33	)	)	PUNCT
ejpam-6225	653	1	c	c	X
ejpam-6225	653	2	=	=	PRON
ejpam-6225	653	3	(	(	PUNCT
ejpam-6225	653	4	srl	srl	PROPN
ejpam-6225	653	5	β−(=),srl	β−(=),srl	NOUN
ejpam-6225	653	6	β+(=	β+(=	PROPN
ejpam-6225	653	7	)	)	PUNCT
ejpam-6225	653	8	)	)	PUNCT
ejpam-6225	654	1	(	(	PUNCT
ejpam-6225	654	2	psr	psr	X
ejpam-6225	654	3	l	l	NOUN
ejpam-6225	654	4	β	β	X
ejpam-6225	654	5	(=	(=	NOUN
ejpam-6225	654	6	)	)	PUNCT
ejpam-6225	654	7	)	)	PUNCT
ejpam-6225	655	1	c	c	X
ejpam-6225	655	2	=	=	PRON
ejpam-6225	655	3	(	(	PUNCT
ejpam-6225	655	4	sr	sr	PROPN
ejpam-6225	655	5	l	l	PROPN
ejpam-6225	655	6	β−(=),sr	β−(=),sr	X
ejpam-6225	655	7	l	l	NOUN
ejpam-6225	655	8	β+(=	β+(=	NOUN
ejpam-6225	655	9	)	)	PUNCT
ejpam-6225	655	10	)	)	PUNCT
ejpam-6225	655	11	proposition	proposition	NOUN
ejpam-6225	655	12	3.7	3.7	NUM
ejpam-6225	655	13	.	.	PUNCT
ejpam-6225	656	1	let	let	VERB
ejpam-6225	656	2	b	b	NOUN
ejpam-6225	656	3	=	=	SYM
ejpam-6225	656	4	(	(	PUNCT
ejpam-6225	656	5	f	f	X
ejpam-6225	656	6	,	,	PUNCT
ejpam-6225	656	7	g	g	NOUN
ejpam-6225	656	8	:	:	PUNCT
ejpam-6225	656	9	℘	℘	PROPN
ejpam-6225	656	10	)	)	PUNCT
ejpam-6225	656	11	∈	∈	PROPN
ejpam-6225	656	12	bssq	bssq	NOUN
ejpam-6225	656	13	and	and	CCONJ
ejpam-6225	656	14	βl	βl	NOUN
ejpam-6225	656	15	=	=	PUNCT
ejpam-6225	656	16	(	(	PUNCT
ejpam-6225	656	17	q	q	ADJ
ejpam-6225	656	18	,	,	PUNCT
ejpam-6225	656	19	(	(	PUNCT
ejpam-6225	656	20	f	f	X
ejpam-6225	656	21	,	,	PUNCT
ejpam-6225	656	22	g	g	NOUN
ejpam-6225	656	23	:	:	PUNCT
ejpam-6225	656	24	℘	℘	NUM
ejpam-6225	656	25	)	)	PUNCT
ejpam-6225	656	26	,	,	PUNCT
ejpam-6225	656	27	l	l	NOUN
ejpam-6225	656	28	)	)	PUNCT
ejpam-6225	656	29	be	be	AUX
ejpam-6225	656	30	ibsa	ibsa	NOUN
ejpam-6225	656	31	-	-	NOUN
ejpam-6225	656	32	space	space	NOUN
ejpam-6225	656	33	.	.	PUNCT
ejpam-6225	657	1	for	for	ADP
ejpam-6225	657	2	=	=	SYM
ejpam-6225	657	3	,	,	PUNCT
ejpam-6225	657	4	ϑ	ϑ	X
ejpam-6225	657	5	⊆	⊆	NUM
ejpam-6225	657	6	q	q	NOUN
ejpam-6225	657	7	,	,	PUNCT
ejpam-6225	657	8	the	the	DET
ejpam-6225	657	9	following	follow	VERB
ejpam-6225	657	10	properties	property	NOUN
ejpam-6225	657	11	hold	hold	VERB
ejpam-6225	657	12	:	:	PUNCT
ejpam-6225	657	13	(	(	PUNCT
ejpam-6225	657	14	1	1	X
ejpam-6225	657	15	)	)	PUNCT
ejpam-6225	657	16	[	[	PUNCT
ejpam-6225	657	17	(	(	PUNCT
ejpam-6225	657	18	psrl	psrl	PROPN
ejpam-6225	657	19	β	β	X
ejpam-6225	657	20	(=	(=	NOUN
ejpam-6225	657	21	)	)	PUNCT
ejpam-6225	657	22	)	)	PUNCT
ejpam-6225	658	1	c	c	NOUN
ejpam-6225	658	2	]	]	PUNCT
ejpam-6225	659	1	c	c	X
ejpam-6225	659	2	=	=	SYM
ejpam-6225	659	3	psrl	psrl	PROPN
ejpam-6225	659	4	β	β	X
ejpam-6225	659	5	(	(	PUNCT
ejpam-6225	659	6	=)	=)	PROPN
ejpam-6225	659	7	;	;	PUNCT
ejpam-6225	659	8	(	(	PUNCT
ejpam-6225	659	9	2	2	X
ejpam-6225	659	10	)	)	PUNCT
ejpam-6225	659	11	[	[	PUNCT
ejpam-6225	659	12	(	(	PUNCT
ejpam-6225	659	13	psr	psr	X
ejpam-6225	659	14	l	l	NOUN
ejpam-6225	659	15	β	β	X
ejpam-6225	659	16	(=	(=	NOUN
ejpam-6225	659	17	)	)	PUNCT
ejpam-6225	659	18	)	)	PUNCT
ejpam-6225	659	19	c	c	NOUN
ejpam-6225	659	20	]	]	PUNCT
ejpam-6225	659	21	c	c	X
ejpam-6225	659	22	=	=	SYM
ejpam-6225	659	23	psr	psr	PROPN
ejpam-6225	659	24	l	l	NOUN
ejpam-6225	659	25	β	β	X
ejpam-6225	659	26	(	(	PUNCT
ejpam-6225	659	27	=)	=)	PROPN
ejpam-6225	659	28	;	;	PUNCT
ejpam-6225	659	29	(	(	PUNCT
ejpam-6225	659	30	3	3	X
ejpam-6225	659	31	)	)	PUNCT
ejpam-6225	659	32	(	(	PUNCT
ejpam-6225	659	33	psrl	psrl	PROPN
ejpam-6225	659	34	β	β	X
ejpam-6225	659	35	(	(	PUNCT
ejpam-6225	659	36	=)	=)	PROPN
ejpam-6225	659	37	t	t	PROPN
ejpam-6225	659	38	psrl	psrl	PROPN
ejpam-6225	659	39	β	β	X
ejpam-6225	659	40	(	(	PUNCT
ejpam-6225	659	41	ϑ	ϑ	NOUN
ejpam-6225	659	42	)	)	PUNCT
ejpam-6225	659	43	)	)	PUNCT
ejpam-6225	660	1	c	c	X
ejpam-6225	660	2	=	=	SYM
ejpam-6225	660	3	(	(	PUNCT
ejpam-6225	660	4	psrl	psrl	PROPN
ejpam-6225	660	5	β	β	X
ejpam-6225	660	6	(=	(=	NOUN
ejpam-6225	660	7	)	)	PUNCT
ejpam-6225	660	8	)	)	PUNCT
ejpam-6225	661	1	c	c	NOUN
ejpam-6225	661	2	u	u	NOUN
ejpam-6225	661	3	(	(	PUNCT
ejpam-6225	661	4	psrl	psrl	PROPN
ejpam-6225	661	5	β	β	X
ejpam-6225	661	6	(	(	PUNCT
ejpam-6225	661	7	ϑ))c	ϑ))c	ADJ
ejpam-6225	661	8	;	;	PUNCT
ejpam-6225	661	9	(	(	PUNCT
ejpam-6225	661	10	4	4	X
ejpam-6225	661	11	)	)	PUNCT
ejpam-6225	661	12	(	(	PUNCT
ejpam-6225	661	13	psr	psr	X
ejpam-6225	661	14	l	l	NOUN
ejpam-6225	661	15	β	β	X
ejpam-6225	661	16	(	(	PUNCT
ejpam-6225	661	17	=)	=)	PROPN
ejpam-6225	661	18	t	t	PROPN
ejpam-6225	661	19	psr	psr	PROPN
ejpam-6225	661	20	l	l	PROPN
ejpam-6225	661	21	β	β	X
ejpam-6225	661	22	(	(	PUNCT
ejpam-6225	661	23	ϑ	ϑ	NOUN
ejpam-6225	661	24	)	)	PUNCT
ejpam-6225	661	25	)	)	PUNCT
ejpam-6225	661	26	c	c	X
ejpam-6225	661	27	=	=	SYM
ejpam-6225	661	28	(	(	PUNCT
ejpam-6225	661	29	psr	psr	X
ejpam-6225	661	30	l	l	PROPN
ejpam-6225	661	31	β	β	X
ejpam-6225	661	32	(=	(=	NOUN
ejpam-6225	661	33	)	)	PUNCT
ejpam-6225	661	34	)	)	PUNCT
ejpam-6225	662	1	c	c	NOUN
ejpam-6225	662	2	u	u	PROPN
ejpam-6225	662	3	(	(	PUNCT
ejpam-6225	662	4	psr	psr	PROPN
ejpam-6225	662	5	l	l	PROPN
ejpam-6225	662	6	β	β	X
ejpam-6225	662	7	(	(	PUNCT
ejpam-6225	662	8	ϑ))c	ϑ))c	ADJ
ejpam-6225	662	9	;	;	PUNCT
ejpam-6225	662	10	(	(	PUNCT
ejpam-6225	662	11	5	5	X
ejpam-6225	662	12	)	)	PUNCT
ejpam-6225	662	13	(	(	PUNCT
ejpam-6225	662	14	psrl	psrl	PROPN
ejpam-6225	662	15	β	β	X
ejpam-6225	662	16	(	(	PUNCT
ejpam-6225	662	17	=)	=)	PROPN
ejpam-6225	662	18	u	u	PROPN
ejpam-6225	662	19	psrl	psrl	PROPN
ejpam-6225	662	20	β	β	X
ejpam-6225	662	21	(	(	PUNCT
ejpam-6225	662	22	ϑ	ϑ	NOUN
ejpam-6225	662	23	)	)	PUNCT
ejpam-6225	662	24	)	)	PUNCT
ejpam-6225	662	25	c	c	X
ejpam-6225	662	26	=	=	SYM
ejpam-6225	662	27	(	(	PUNCT
ejpam-6225	662	28	psrl	psrl	PROPN
ejpam-6225	662	29	β	β	X
ejpam-6225	662	30	(=	(=	NOUN
ejpam-6225	662	31	)	)	PUNCT
ejpam-6225	662	32	)	)	PUNCT
ejpam-6225	663	1	c	c	PROPN
ejpam-6225	663	2	t	t	PROPN
ejpam-6225	663	3	(	(	PUNCT
ejpam-6225	663	4	psrl	psrl	PROPN
ejpam-6225	663	5	β	β	X
ejpam-6225	663	6	(	(	PUNCT
ejpam-6225	663	7	ϑ))c	ϑ))c	ADJ
ejpam-6225	663	8	;	;	PUNCT
ejpam-6225	663	9	(	(	PUNCT
ejpam-6225	663	10	6	6	NUM
ejpam-6225	663	11	)	)	PUNCT
ejpam-6225	663	12	(	(	PUNCT
ejpam-6225	663	13	psr	psr	X
ejpam-6225	663	14	l	l	NOUN
ejpam-6225	663	15	β	β	X
ejpam-6225	663	16	(	(	PUNCT
ejpam-6225	663	17	=)	=)	PROPN
ejpam-6225	663	18	u	u	X
ejpam-6225	663	19	psr	psr	PROPN
ejpam-6225	663	20	l	l	NOUN
ejpam-6225	663	21	β	β	X
ejpam-6225	663	22	(	(	PUNCT
ejpam-6225	663	23	ϑ	ϑ	NOUN
ejpam-6225	663	24	)	)	PUNCT
ejpam-6225	663	25	)	)	PUNCT
ejpam-6225	664	1	c	c	X
ejpam-6225	664	2	=	=	SYM
ejpam-6225	664	3	(	(	PUNCT
ejpam-6225	664	4	psr	psr	X
ejpam-6225	664	5	l	l	PROPN
ejpam-6225	664	6	β	β	X
ejpam-6225	664	7	(=	(=	NOUN
ejpam-6225	664	8	)	)	PUNCT
ejpam-6225	664	9	)	)	PUNCT
ejpam-6225	665	1	c	c	PROPN
ejpam-6225	665	2	t	t	PROPN
ejpam-6225	665	3	(	(	PUNCT
ejpam-6225	665	4	psr	psr	X
ejpam-6225	665	5	l	l	PROPN
ejpam-6225	665	6	β	β	X
ejpam-6225	665	7	(	(	PUNCT
ejpam-6225	665	8	ϑ))c	ϑ))c	ADJ
ejpam-6225	665	9	;	;	PUNCT
ejpam-6225	665	10	(	(	PUNCT
ejpam-6225	665	11	7	7	X
ejpam-6225	665	12	)	)	PUNCT
ejpam-6225	665	13	psrl	psrl	NOUN
ejpam-6225	665	14	β	β	X
ejpam-6225	665	15	(	(	PUNCT
ejpam-6225	665	16	=)	=)	PROPN
ejpam-6225	665	17	v	v	NUM
ejpam-6225	665	18	psrl	psrl	PROPN
ejpam-6225	665	19	β	β	X
ejpam-6225	665	20	(	(	PUNCT
ejpam-6225	665	21	ϑ	ϑ	NOUN
ejpam-6225	665	22	)	)	PUNCT
ejpam-6225	665	23	⇐	⇐	ADJ
ejpam-6225	665	24	⇒	⇒	PROPN
ejpam-6225	665	25	psrl	psrl	PROPN
ejpam-6225	665	26	β	β	X
ejpam-6225	665	27	(	(	PUNCT
ejpam-6225	665	28	ϑ))c	ϑ))c	PROPN
ejpam-6225	665	29	v	v	ADP
ejpam-6225	665	30	psrl	psrl	PROPN
ejpam-6225	665	31	β	β	X
ejpam-6225	665	32	(=	(=	NOUN
ejpam-6225	665	33	)	)	PUNCT
ejpam-6225	665	34	)	)	PUNCT
ejpam-6225	666	1	c	c	NOUN
ejpam-6225	666	2	;	;	PUNCT
ejpam-6225	666	3	(	(	PUNCT
ejpam-6225	666	4	8)	8)	NUM
ejpam-6225	666	5	psr	psr	PROPN
ejpam-6225	666	6	l	l	NOUN
ejpam-6225	666	7	β	β	X
ejpam-6225	666	8	(	(	PUNCT
ejpam-6225	666	9	=)	=)	PROPN
ejpam-6225	666	10	v	v	NUM
ejpam-6225	666	11	psr	psr	PROPN
ejpam-6225	666	12	l	l	NOUN
ejpam-6225	666	13	β	β	X
ejpam-6225	666	14	(	(	PUNCT
ejpam-6225	666	15	ϑ	ϑ	NOUN
ejpam-6225	666	16	)	)	PUNCT
ejpam-6225	666	17	⇐	⇐	ADJ
ejpam-6225	666	18	⇒	⇒	PROPN
ejpam-6225	666	19	psr	psr	PROPN
ejpam-6225	666	20	l	l	NOUN
ejpam-6225	666	21	β	β	X
ejpam-6225	666	22	(	(	PUNCT
ejpam-6225	666	23	ϑ))c	ϑ))c	PROPN
ejpam-6225	666	24	v	v	NUM
ejpam-6225	666	25	psr	psr	PROPN
ejpam-6225	666	26	l	l	PROPN
ejpam-6225	666	27	β	β	X
ejpam-6225	666	28	(=	(=	NOUN
ejpam-6225	666	29	)	)	PUNCT
ejpam-6225	666	30	)	)	PUNCT
ejpam-6225	666	31	c.	c.	NOUN
ejpam-6225	666	32	proof	proof	NOUN
ejpam-6225	666	33	.	.	PUNCT
ejpam-6225	667	1	direct	direct	ADJ
ejpam-6225	667	2	by	by	ADP
ejpam-6225	667	3	using	use	VERB
ejpam-6225	667	4	theorem	theorem	ADJ
ejpam-6225	667	5	3.5	3.5	NUM
ejpam-6225	667	6	and	and	CCONJ
ejpam-6225	667	7	definition	definition	NOUN
ejpam-6225	667	8	3.5	3.5	NUM
ejpam-6225	667	9	.	.	PUNCT
ejpam-6225	668	1	proposition	proposition	NOUN
ejpam-6225	668	2	3.8	3.8	NUM
ejpam-6225	668	3	.	.	PUNCT
ejpam-6225	669	1	let	let	VERB
ejpam-6225	669	2	b	b	NOUN
ejpam-6225	669	3	=	=	SYM
ejpam-6225	669	4	(	(	PUNCT
ejpam-6225	669	5	f	f	X
ejpam-6225	669	6	,	,	PUNCT
ejpam-6225	669	7	g	g	NOUN
ejpam-6225	669	8	:	:	PUNCT
ejpam-6225	669	9	℘	℘	PROPN
ejpam-6225	669	10	)	)	PUNCT
ejpam-6225	669	11	∈	∈	PROPN
ejpam-6225	669	12	bssq	bssq	NOUN
ejpam-6225	669	13	be	be	AUX
ejpam-6225	669	14	a	a	DET
ejpam-6225	669	15	semi	semi	ADJ
ejpam-6225	669	16	-	-	ADJ
ejpam-6225	669	17	intersection	intersection	ADJ
ejpam-6225	669	18	bipolar	bipolar	ADJ
ejpam-6225	669	19	soft	soft	ADJ
ejpam-6225	669	20	set	set	NOUN
ejpam-6225	669	21	and	and	CCONJ
ejpam-6225	669	22	βl	βl	NOUN
ejpam-6225	669	23	=	=	SYM
ejpam-6225	669	24	(	(	PUNCT
ejpam-6225	669	25	q	q	ADJ
ejpam-6225	669	26	,	,	PUNCT
ejpam-6225	669	27	(	(	PUNCT
ejpam-6225	669	28	f	f	X
ejpam-6225	669	29	,	,	PUNCT
ejpam-6225	669	30	g	g	NOUN
ejpam-6225	669	31	:	:	PUNCT
ejpam-6225	669	32	℘	℘	NUM
ejpam-6225	669	33	)	)	PUNCT
ejpam-6225	669	34	,	,	PUNCT
ejpam-6225	669	35	l	l	NOUN
ejpam-6225	669	36	)	)	PUNCT
ejpam-6225	669	37	be	be	AUX
ejpam-6225	669	38	the	the	DET
ejpam-6225	669	39	corresponding	corresponding	ADJ
ejpam-6225	669	40	ibsa	ibsa	NOUN
ejpam-6225	669	41	-	-	PUNCT
ejpam-6225	669	42	space	space	NOUN
ejpam-6225	669	43	and	and	CCONJ
ejpam-6225	669	44	=	=	SYM
ejpam-6225	669	45	⊆	⊆	NUM
ejpam-6225	669	46	u	u	NOUN
ejpam-6225	669	47	.	.	PUNCT
ejpam-6225	670	1	then	then	ADV
ejpam-6225	670	2	,	,	PUNCT
ejpam-6225	670	3	(	(	PUNCT
ejpam-6225	670	4	1	1	X
ejpam-6225	670	5	)	)	PUNCT
ejpam-6225	670	6	srl	srl	PROPN
ejpam-6225	670	7	β+(=	β+(=	NOUN
ejpam-6225	670	8	)	)	PUNCT
ejpam-6225	670	9	∩	∩	PROPN
ejpam-6225	670	10	srl	srl	PROPN
ejpam-6225	670	11	β−(=	β−(=	NOUN
ejpam-6225	670	12	)	)	PUNCT
ejpam-6225	670	13	=	=	NOUN
ejpam-6225	670	14	∅	∅	NOUN
ejpam-6225	670	15	(	(	PUNCT
ejpam-6225	670	16	2	2	X
ejpam-6225	670	17	)	)	PUNCT
ejpam-6225	670	18	sr	sr	PROPN
ejpam-6225	670	19	l	l	PROPN
ejpam-6225	670	20	β+(=	β+(=	PROPN
ejpam-6225	670	21	)	)	PUNCT
ejpam-6225	670	22	∩	∩	PROPN
ejpam-6225	670	23	sr	sr	PROPN
ejpam-6225	670	24	l	l	PROPN
ejpam-6225	670	25	β+(=	β+(=	PROPN
ejpam-6225	670	26	)	)	PUNCT
ejpam-6225	671	1	=	=	PUNCT
ejpam-6225	671	2	∅.	∅.	PROPN
ejpam-6225	671	3	d.	d.	PROPN
ejpam-6225	671	4	shi	shi	PROPN
ejpam-6225	671	5	et	et	PROPN
ejpam-6225	671	6	al	al	PROPN
ejpam-6225	671	7	.	.	PUNCT
ejpam-6225	671	8	/	/	SYM
ejpam-6225	671	9	eur	eur	PROPN
ejpam-6225	671	10	.	.	PUNCT
ejpam-6225	672	1	j.	j.	PROPN
ejpam-6225	672	2	pure	pure	PROPN
ejpam-6225	672	3	appl	appl	PROPN
ejpam-6225	672	4	.	.	PROPN
ejpam-6225	672	5	math	math	PROPN
ejpam-6225	672	6	,	,	PUNCT
ejpam-6225	672	7	18	18	NUM
ejpam-6225	672	8	(	(	PUNCT
ejpam-6225	672	9	4	4	NUM
ejpam-6225	672	10	)	)	PUNCT
ejpam-6225	672	11	(	(	PUNCT
ejpam-6225	672	12	2025	2025	NUM
ejpam-6225	672	13	)	)	PUNCT
ejpam-6225	672	14	,	,	PUNCT
ejpam-6225	672	15	6225	6225	NUM
ejpam-6225	672	16	18	18	NUM
ejpam-6225	672	17	of	of	ADP
ejpam-6225	672	18	36	36	NUM
ejpam-6225	672	19	proof	proof	NOUN
ejpam-6225	672	20	.	.	PUNCT
ejpam-6225	673	1	since	since	SCONJ
ejpam-6225	673	2	b	b	PROPN
ejpam-6225	673	3	=	=	SYM
ejpam-6225	673	4	(	(	PUNCT
ejpam-6225	673	5	f	f	X
ejpam-6225	673	6	,	,	PUNCT
ejpam-6225	673	7	g	g	NOUN
ejpam-6225	673	8	:	:	PUNCT
ejpam-6225	673	9	℘	℘	NUM
ejpam-6225	673	10	)	)	PUNCT
ejpam-6225	673	11	is	be	AUX
ejpam-6225	673	12	a	a	DET
ejpam-6225	673	13	semi	semi	ADJ
ejpam-6225	673	14	-	-	ADJ
ejpam-6225	673	15	intersection	intersection	ADJ
ejpam-6225	673	16	bipolar	bipolar	ADJ
ejpam-6225	673	17	soft	soft	ADJ
ejpam-6225	673	18	set	set	NOUN
ejpam-6225	673	19	over	over	ADP
ejpam-6225	673	20	u	u	PROPN
ejpam-6225	673	21	,	,	PUNCT
ejpam-6225	673	22	then	then	ADV
ejpam-6225	673	23	b	b	X
ejpam-6225	673	24	=	=	SYM
ejpam-6225	673	25	(	(	PUNCT
ejpam-6225	673	26	f	f	X
ejpam-6225	673	27	,	,	PUNCT
ejpam-6225	673	28	g	g	NOUN
ejpam-6225	673	29	:	:	PUNCT
ejpam-6225	673	30	℘	℘	NUM
ejpam-6225	673	31	)	)	PUNCT
ejpam-6225	673	32	is	be	AUX
ejpam-6225	673	33	said	say	VERB
ejpam-6225	673	34	to	to	PART
ejpam-6225	673	35	be	be	AUX
ejpam-6225	673	36	a	a	DET
ejpam-6225	673	37	semi	semi	ADJ
ejpam-6225	673	38	-	-	ADJ
ejpam-6225	673	39	intersection	intersection	ADJ
ejpam-6225	673	40	bipolar	bipolar	ADJ
ejpam-6225	673	41	soft	soft	ADJ
ejpam-6225	673	42	set	set	NOUN
ejpam-6225	673	43	,	,	PUNCT
ejpam-6225	673	44	if	if	SCONJ
ejpam-6225	673	45	f(ςi	f(ςi	PROPN
ejpam-6225	673	46	)	)	PUNCT
ejpam-6225	673	47	∩	∩	NOUN
ejpam-6225	673	48	g(¬ςi	g(¬ςi	NOUN
ejpam-6225	673	49	)	)	PUNCT
ejpam-6225	673	50	=	=	NOUN
ejpam-6225	673	51	∅	∅	NOUN
ejpam-6225	673	52	for	for	ADP
ejpam-6225	673	53	all	all	DET
ejpam-6225	673	54	ς	ς	PROPN
ejpam-6225	673	55	∈	∈	PROPN
ejpam-6225	673	56	℘	℘	PROPN
ejpam-6225	673	57	and	and	CCONJ
ejpam-6225	673	58	¬ς	¬ς	NOUN
ejpam-6225	673	59	∈	∈	PROPN
ejpam-6225	673	60	¬℘	¬℘	NUM
ejpam-6225	673	61	..	..	PUNCT
ejpam-6225	674	1	so	so	ADV
ejpam-6225	674	2	it	it	PRON
ejpam-6225	674	3	is	be	AUX
ejpam-6225	674	4	clear	clear	ADJ
ejpam-6225	674	5	that	that	SCONJ
ejpam-6225	674	6	srl	srl	PROPN
ejpam-6225	674	7	β+(=	β+(=	NOUN
ejpam-6225	674	8	)	)	PUNCT
ejpam-6225	674	9	∩	∩	PROPN
ejpam-6225	674	10	srl	srl	PROPN
ejpam-6225	674	11	β−(=	β−(=	NOUN
ejpam-6225	674	12	)	)	PUNCT
ejpam-6225	674	13	=	=	SYM
ejpam-6225	674	14	∅	∅	NOUN
ejpam-6225	674	15	and	and	CCONJ
ejpam-6225	674	16	sr	sr	PROPN
ejpam-6225	674	17	l	l	PROPN
ejpam-6225	674	18	β+(=	β+(=	PROPN
ejpam-6225	674	19	)	)	PUNCT
ejpam-6225	674	20	∩	∩	PROPN
ejpam-6225	674	21	sr	sr	PROPN
ejpam-6225	674	22	l	l	PROPN
ejpam-6225	674	23	β+(=	β+(=	PROPN
ejpam-6225	674	24	)	)	PUNCT
ejpam-6225	675	1	=	=	PUNCT
ejpam-6225	675	2	∅.	∅.	ADP
ejpam-6225	675	3	the	the	DET
ejpam-6225	675	4	coming	coming	ADJ
ejpam-6225	675	5	theorem	theorem	NOUN
ejpam-6225	675	6	establishes	establish	VERB
ejpam-6225	675	7	the	the	DET
ejpam-6225	675	8	relationship	relationship	NOUN
ejpam-6225	675	9	between	between	ADP
ejpam-6225	675	10	the	the	DET
ejpam-6225	675	11	current	current	ADJ
ejpam-6225	675	12	ideal	ideal	ADJ
ejpam-6225	675	13	bipolar	bipolar	ADJ
ejpam-6225	675	14	sas	sa	NOUN
ejpam-6225	675	15	in	in	ADP
ejpam-6225	675	16	definition	definition	NOUN
ejpam-6225	675	17	3.1	3.1	NUM
ejpam-6225	675	18	and	and	CCONJ
ejpam-6225	675	19	the	the	DET
ejpam-6225	675	20	previous	previous	ADJ
ejpam-6225	675	21	bipolar	bipolar	ADJ
ejpam-6225	675	22	sas	sa	NOUN
ejpam-6225	675	23	in	in	ADP
ejpam-6225	675	24	definition	definition	NOUN
ejpam-6225	675	25	2.9	2.9	NUM
ejpam-6225	675	26	in	in	ADP
ejpam-6225	675	27	[	[	X
ejpam-6225	675	28	34	34	NUM
ejpam-6225	675	29	]	]	PUNCT
ejpam-6225	675	30	.	.	PUNCT
ejpam-6225	676	1	theorem	theorem	VERB
ejpam-6225	676	2	3.7	3.7	NUM
ejpam-6225	676	3	.	.	PUNCT
ejpam-6225	677	1	let	let	VERB
ejpam-6225	677	2	b	b	NOUN
ejpam-6225	677	3	=	=	SYM
ejpam-6225	677	4	(	(	PUNCT
ejpam-6225	677	5	f	f	X
ejpam-6225	677	6	,	,	PUNCT
ejpam-6225	677	7	g	g	NOUN
ejpam-6225	677	8	:	:	PUNCT
ejpam-6225	677	9	℘	℘	PROPN
ejpam-6225	677	10	)	)	PUNCT
ejpam-6225	677	11	∈	∈	PROPN
ejpam-6225	677	12	bssq	bssq	NOUN
ejpam-6225	677	13	be	be	AUX
ejpam-6225	677	14	a	a	DET
ejpam-6225	677	15	semi	semi	ADJ
ejpam-6225	677	16	-	-	ADJ
ejpam-6225	677	17	intersection	intersection	ADJ
ejpam-6225	677	18	bipolar	bipolar	ADJ
ejpam-6225	677	19	soft	soft	ADJ
ejpam-6225	677	20	set	set	NOUN
ejpam-6225	677	21	and	and	CCONJ
ejpam-6225	677	22	βl	βl	NOUN
ejpam-6225	677	23	=	=	SYM
ejpam-6225	678	1	(	(	PUNCT
ejpam-6225	678	2	q	q	ADJ
ejpam-6225	678	3	,	,	PUNCT
ejpam-6225	678	4	(	(	PUNCT
ejpam-6225	678	5	f	f	X
ejpam-6225	678	6	,	,	PUNCT
ejpam-6225	678	7	g	g	NOUN
ejpam-6225	678	8	:	:	PUNCT
ejpam-6225	678	9	℘	℘	NUM
ejpam-6225	678	10	)	)	PUNCT
ejpam-6225	678	11	,	,	PUNCT
ejpam-6225	678	12	l	l	NOUN
ejpam-6225	678	13	)	)	PUNCT
ejpam-6225	678	14	be	be	AUX
ejpam-6225	678	15	the	the	DET
ejpam-6225	678	16	corresponding	corresponding	ADJ
ejpam-6225	678	17	ibsa	ibsa	NOUN
ejpam-6225	678	18	-	-	PUNCT
ejpam-6225	678	19	space	space	NOUN
ejpam-6225	678	20	and	and	CCONJ
ejpam-6225	678	21	=	=	SYM
ejpam-6225	678	22	⊆	⊆	NUM
ejpam-6225	678	23	u	u	NOUN
ejpam-6225	678	24	.	.	PUNCT
ejpam-6225	679	1	then	then	ADV
ejpam-6225	679	2	,	,	PUNCT
ejpam-6225	679	3	(	(	PUNCT
ejpam-6225	679	4	1	1	X
ejpam-6225	679	5	)	)	PUNCT
ejpam-6225	679	6	psr	psr	PROPN
ejpam-6225	679	7	l	l	NOUN
ejpam-6225	679	8	β	β	X
ejpam-6225	679	9	(	(	PUNCT
ejpam-6225	679	10	=)	=)	PROPN
ejpam-6225	679	11	v	v	NOUN
ejpam-6225	679	12	psrβ(=	psrβ(=	NUM
ejpam-6225	679	13	)	)	PUNCT
ejpam-6225	679	14	and	and	CCONJ
ejpam-6225	679	15	psrl	psrl	PROPN
ejpam-6225	679	16	β	β	X
ejpam-6225	679	17	(	(	PUNCT
ejpam-6225	679	18	=)	=)	PROPN
ejpam-6225	679	19	=	=	SYM
ejpam-6225	679	20	psr	psr	PROPN
ejpam-6225	679	21	β	β	X
ejpam-6225	679	22	(	(	PUNCT
ejpam-6225	679	23	=)	=)	PROPN
ejpam-6225	679	24	.	.	PUNCT
ejpam-6225	679	25	(	(	PUNCT
ejpam-6225	679	26	2	2	X
ejpam-6225	679	27	)	)	PUNCT
ejpam-6225	679	28	bn	bn	NOUN
ejpam-6225	680	1	dl	dl	PROPN
ejpam-6225	681	1	β	β	X
ejpam-6225	681	2	(	(	PUNCT
ejpam-6225	681	3	=)	=)	PROPN
ejpam-6225	681	4	⊆	⊆	NUM
ejpam-6225	681	5	bn	bn	NUM
ejpam-6225	681	6	dβ(=	dβ(=	ADJ
ejpam-6225	681	7	)	)	PUNCT
ejpam-6225	681	8	.	.	PUNCT
ejpam-6225	682	1	proof	proof	NOUN
ejpam-6225	682	2	.	.	PUNCT
ejpam-6225	683	1	immediately	immediately	ADV
ejpam-6225	683	2	from	from	ADP
ejpam-6225	683	3	definitions	definition	NOUN
ejpam-6225	683	4	2.9	2.9	NUM
ejpam-6225	683	5	and	and	CCONJ
ejpam-6225	683	6	3.1	3.1	NUM
ejpam-6225	683	7	.	.	PUNCT
ejpam-6225	683	8	remark	remark	NOUN
ejpam-6225	683	9	3.7	3.7	NUM
ejpam-6225	683	10	.	.	PUNCT
ejpam-6225	684	1	it	it	PRON
ejpam-6225	684	2	is	be	AUX
ejpam-6225	684	3	noted	note	VERB
ejpam-6225	684	4	from	from	ADP
ejpam-6225	684	5	theorem	theorem	ADJ
ejpam-6225	684	6	3.7	3.7	NUM
ejpam-6225	684	7	that	that	SCONJ
ejpam-6225	684	8	the	the	DET
ejpam-6225	684	9	ideal	ideal	ADJ
ejpam-6225	684	10	bipolar	bipolar	ADJ
ejpam-6225	684	11	sas	sa	NOUN
ejpam-6225	684	12	in	in	ADP
ejpam-6225	684	13	definition	definition	NOUN
ejpam-6225	684	14	3.1	3.1	NUM
ejpam-6225	684	15	decreases	decrease	VERB
ejpam-6225	684	16	the	the	DET
ejpam-6225	684	17	ideal	ideal	ADJ
ejpam-6225	684	18	bipolar	bipolar	ADJ
ejpam-6225	684	19	soft	soft	ADJ
ejpam-6225	684	20	uas	uas	NOUN
ejpam-6225	684	21	and	and	CCONJ
ejpam-6225	684	22	increases	increase	VERB
ejpam-6225	684	23	the	the	DET
ejpam-6225	684	24	ideal	ideal	ADJ
ejpam-6225	684	25	bipolar	bipolar	ADJ
ejpam-6225	684	26	soft	soft	ADJ
ejpam-6225	684	27	br	br	NOUN
ejpam-6225	684	28	.	.	PUNCT
ejpam-6225	685	1	consequently	consequently	ADV
ejpam-6225	685	2	,	,	PUNCT
ejpam-6225	685	3	a	a	DET
ejpam-6225	685	4	decision	decision	NOUN
ejpam-6225	685	5	taken	take	VERB
ejpam-6225	685	6	based	base	VERB
ejpam-6225	685	7	on	on	ADP
ejpam-6225	685	8	the	the	DET
ejpam-6225	685	9	computations	computation	NOUN
ejpam-6225	685	10	of	of	ADP
ejpam-6225	685	11	the	the	DET
ejpam-6225	685	12	approach	approach	NOUN
ejpam-6225	685	13	in	in	ADP
ejpam-6225	685	14	our	our	PRON
ejpam-6225	685	15	definition	definition	NOUN
ejpam-6225	685	16	3.1	3.1	NUM
ejpam-6225	685	17	is	be	AUX
ejpam-6225	685	18	more	more	ADV
ejpam-6225	685	19	applicable	applicable	ADJ
ejpam-6225	685	20	since	since	SCONJ
ejpam-6225	685	21	we	we	PRON
ejpam-6225	685	22	get	get	VERB
ejpam-6225	685	23	a	a	DET
ejpam-6225	685	24	higher	high	ADJ
ejpam-6225	685	25	accuracy	accuracy	NOUN
ejpam-6225	685	26	value	value	NOUN
ejpam-6225	685	27	than	than	ADP
ejpam-6225	685	28	the	the	DET
ejpam-6225	685	29	accuracy	accuracy	NOUN
ejpam-6225	685	30	values	value	NOUN
ejpam-6225	685	31	given	give	VERB
ejpam-6225	685	32	by	by	ADP
ejpam-6225	685	33	the	the	DET
ejpam-6225	685	34	previous	previous	ADJ
ejpam-6225	685	35	approach	approach	NOUN
ejpam-6225	685	36	discussed	discuss	VERB
ejpam-6225	685	37	in	in	ADP
ejpam-6225	685	38	[	[	PUNCT
ejpam-6225	685	39	34	34	NUM
ejpam-6225	685	40	]	]	PUNCT
ejpam-6225	685	41	.	.	PUNCT
ejpam-6225	686	1	4	4	X
ejpam-6225	686	2	.	.	X
ejpam-6225	686	3	another	another	DET
ejpam-6225	686	4	style	style	NOUN
ejpam-6225	686	5	of	of	ADP
ejpam-6225	686	6	bipolar	bipolar	ADJ
ejpam-6225	686	7	soft	soft	ADJ
ejpam-6225	686	8	ideal	ideal	ADJ
ejpam-6225	686	9	rough	rough	ADJ
ejpam-6225	686	10	sets	set	NOUN
ejpam-6225	686	11	approximation	approximation	NOUN
ejpam-6225	686	12	definition	definition	NOUN
ejpam-6225	686	13	4.1	4.1	NUM
ejpam-6225	686	14	.	.	PUNCT
ejpam-6225	687	1	let	let	VERB
ejpam-6225	687	2	b	b	NOUN
ejpam-6225	687	3	=	=	SYM
ejpam-6225	687	4	(	(	PUNCT
ejpam-6225	687	5	f	f	X
ejpam-6225	687	6	,	,	PUNCT
ejpam-6225	687	7	g	g	NOUN
ejpam-6225	687	8	:	:	PUNCT
ejpam-6225	687	9	℘	℘	PROPN
ejpam-6225	687	10	)	)	PUNCT
ejpam-6225	687	11	∈	∈	PROPN
ejpam-6225	687	12	bssq	bssq	NOUN
ejpam-6225	687	13	and	and	CCONJ
ejpam-6225	687	14	βl	βl	NOUN
ejpam-6225	687	15	=	=	PUNCT
ejpam-6225	687	16	(	(	PUNCT
ejpam-6225	687	17	q	q	ADJ
ejpam-6225	687	18	,	,	PUNCT
ejpam-6225	687	19	(	(	PUNCT
ejpam-6225	687	20	f	f	X
ejpam-6225	687	21	,	,	PUNCT
ejpam-6225	687	22	g	g	NOUN
ejpam-6225	687	23	:	:	PUNCT
ejpam-6225	687	24	℘	℘	NUM
ejpam-6225	687	25	)	)	PUNCT
ejpam-6225	687	26	,	,	PUNCT
ejpam-6225	687	27	l	l	NOUN
ejpam-6225	687	28	)	)	PUNCT
ejpam-6225	687	29	is	be	AUX
ejpam-6225	687	30	the	the	DET
ejpam-6225	687	31	corresponding	corresponding	ADJ
ejpam-6225	687	32	ibsa	ibsa	NOUN
ejpam-6225	687	33	-	-	PUNCT
ejpam-6225	687	34	space	space	NOUN
ejpam-6225	687	35	.	.	PUNCT
ejpam-6225	688	1	depending	depend	VERB
ejpam-6225	688	2	on	on	ADP
ejpam-6225	688	3	βl	βl	NOUN
ejpam-6225	688	4	,	,	PUNCT
ejpam-6225	688	5	the	the	DET
ejpam-6225	688	6	following	follow	VERB
ejpam-6225	688	7	operators	operator	NOUN
ejpam-6225	688	8	are	be	AUX
ejpam-6225	688	9	defined	define	VERB
ejpam-6225	688	10	for	for	ADP
ejpam-6225	688	11	any	any	DET
ejpam-6225	688	12	=	=	SYM
ejpam-6225	688	13	⊆	⊆	NUM
ejpam-6225	688	14	q	q	NOUN
ejpam-6225	688	15	by	by	ADP
ejpam-6225	688	16	:	:	PUNCT
ejpam-6225	688	17	∗	∗	NOUN
ejpam-6225	688	18	−	−	PROPN
ejpam-6225	688	19	srl	srl	PROPN
ejpam-6225	688	20	β+(=	β+(=	NOUN
ejpam-6225	688	21	)	)	PUNCT
ejpam-6225	689	1	=	=	SYM
ejpam-6225	689	2	=	=	NOUN
ejpam-6225	689	3	∩	∩	X
ejpam-6225	689	4	srl	srl	PROPN
ejpam-6225	689	5	β+(=	β+(=	PROPN
ejpam-6225	689	6	)	)	PUNCT
ejpam-6225	689	7	,	,	PUNCT
ejpam-6225	689	8	∗	∗	VERB
ejpam-6225	689	9	−	−	PROPN
ejpam-6225	689	10	sr	sr	PROPN
ejpam-6225	689	11	l	l	PROPN
ejpam-6225	689	12	β+(=	β+(=	PROPN
ejpam-6225	689	13	)	)	PUNCT
ejpam-6225	689	14	=	=	NOUN
ejpam-6225	690	1	=	=	PUNCT
ejpam-6225	690	2	∪	∪	X
ejpam-6225	690	3	sr	sr	PROPN
ejpam-6225	690	4	l	l	PROPN
ejpam-6225	690	5	β+(=	β+(=	PROPN
ejpam-6225	690	6	)	)	PUNCT
ejpam-6225	690	7	,	,	PUNCT
ejpam-6225	690	8	∗	∗	VERB
ejpam-6225	690	9	−	−	PROPN
ejpam-6225	690	10	sr	sr	PROPN
ejpam-6225	690	11	l	l	PROPN
ejpam-6225	690	12	β−(=	β−(=	PROPN
ejpam-6225	690	13	)	)	PUNCT
ejpam-6225	690	14	=	=	PUNCT
ejpam-6225	691	1	=	=	SYM
ejpam-6225	691	2	c	c	X
ejpam-6225	691	3	∩	∩	X
ejpam-6225	691	4	sr	sr	PROPN
ejpam-6225	691	5	l	l	PROPN
ejpam-6225	691	6	β−(=	β−(=	PROPN
ejpam-6225	691	7	)	)	PUNCT
ejpam-6225	691	8	,	,	PUNCT
ejpam-6225	691	9	∗	∗	NOUN
ejpam-6225	691	10	−	−	PROPN
ejpam-6225	691	11	srl	srl	PROPN
ejpam-6225	691	12	β−(=	β−(=	PROPN
ejpam-6225	691	13	)	)	PUNCT
ejpam-6225	692	1	=	=	PUNCT
ejpam-6225	693	1	=	=	NOUN
ejpam-6225	693	2	c	c	NOUN
ejpam-6225	693	3	∪	∪	VERB
ejpam-6225	693	4	srl	srl	PROPN
ejpam-6225	693	5	β−(=	β−(=	NOUN
ejpam-6225	693	6	)	)	PUNCT
ejpam-6225	693	7			ADJ
ejpam-6225	693	8	are	be	AUX
ejpam-6225	693	9	called	call	VERB
ejpam-6225	693	10	the	the	DET
ejpam-6225	693	11	approximations	approximation	NOUN
ejpam-6225	693	12	of	of	ADP
ejpam-6225	693	13	=	=	PUNCT
ejpam-6225	693	14	and	and	CCONJ
ejpam-6225	693	15	are	be	AUX
ejpam-6225	693	16	considered	consider	VERB
ejpam-6225	693	17	to	to	PART
ejpam-6225	693	18	be	be	AUX
ejpam-6225	693	19	∗−ideal	∗−ideal	NUM
ejpam-6225	693	20	soft	soft	ADJ
ejpam-6225	693	21	βl	βl	ADP
ejpam-6225	693	22	-lower	-lower	PROPN
ejpam-6225	693	23	positive	positive	ADJ
ejpam-6225	693	24	,	,	PUNCT
ejpam-6225	693	25	∗−ideal	∗−ideal	NUM
ejpam-6225	693	26	soft	soft	ADJ
ejpam-6225	693	27	βl	βl	ADP
ejpam-6225	693	28	upper	upper	ADJ
ejpam-6225	693	29	positive	positive	NOUN
ejpam-6225	693	30	,	,	PUNCT
ejpam-6225	693	31	∗−ideal	∗−ideal	NUM
ejpam-6225	693	32	soft	soft	ADJ
ejpam-6225	693	33	βl	βl	NOUN
ejpam-6225	693	34	-upper	-upper	NOUN
ejpam-6225	693	35	negative	negative	ADJ
ejpam-6225	693	36	,	,	PUNCT
ejpam-6225	693	37	and	and	CCONJ
ejpam-6225	693	38	∗−ideal	∗−ideal	NUM
ejpam-6225	693	39	soft	soft	ADJ
ejpam-6225	693	40	βl	βl	ADP
ejpam-6225	693	41	-lower	-lower	NOUN
ejpam-6225	693	42	negative	negative	ADJ
ejpam-6225	693	43	,	,	PUNCT
ejpam-6225	693	44	respectively	respectively	ADV
ejpam-6225	693	45	.	.	PUNCT
ejpam-6225	694	1	moreover	moreover	ADV
ejpam-6225	694	2	,	,	PUNCT
ejpam-6225	694	3	the	the	DET
ejpam-6225	694	4	ordered	order	VERB
ejpam-6225	694	5	pairs	pair	NOUN
ejpam-6225	694	6	are	be	AUX
ejpam-6225	694	7	given	give	VERB
ejpam-6225	694	8	as	as	ADP
ejpam-6225	694	9	∗	∗	NOUN
ejpam-6225	694	10	−	−	PROPN
ejpam-6225	694	11	psrl	psrl	PROPN
ejpam-6225	694	12	β	β	X
ejpam-6225	694	13	(	(	PUNCT
ejpam-6225	694	14	=)	=)	PROPN
ejpam-6225	694	15	=	=	SYM
ejpam-6225	694	16	(	(	PUNCT
ejpam-6225	694	17	∗	∗	NOUN
ejpam-6225	694	18	−	−	PROPN
ejpam-6225	694	19	srl	srl	PROPN
ejpam-6225	694	20	β+(=	β+(=	PROPN
ejpam-6225	694	21	)	)	PUNCT
ejpam-6225	694	22	,	,	PUNCT
ejpam-6225	694	23	∗	∗	NOUN
ejpam-6225	694	24	−	−	PROPN
ejpam-6225	694	25	srl	srl	PROPN
ejpam-6225	694	26	β−(=	β−(=	PROPN
ejpam-6225	694	27	)	)	PUNCT
ejpam-6225	694	28	)	)	PUNCT
ejpam-6225	695	1	∗	∗	NOUN
ejpam-6225	695	2	−	−	PROPN
ejpam-6225	695	3	psr	psr	PROPN
ejpam-6225	695	4	l	l	PROPN
ejpam-6225	695	5	β	β	X
ejpam-6225	695	6	(	(	PUNCT
ejpam-6225	695	7	=)	=)	PROPN
ejpam-6225	695	8	=	=	SYM
ejpam-6225	695	9	(	(	PUNCT
ejpam-6225	695	10	∗	∗	NOUN
ejpam-6225	695	11	−	−	PROPN
ejpam-6225	695	12	sr	sr	PROPN
ejpam-6225	695	13	l	l	PROPN
ejpam-6225	695	14	β+(=	β+(=	PROPN
ejpam-6225	695	15	)	)	PUNCT
ejpam-6225	695	16	,	,	PUNCT
ejpam-6225	695	17	∗	∗	VERB
ejpam-6225	695	18	−	−	PROPN
ejpam-6225	695	19	sr	sr	PROPN
ejpam-6225	695	20	l	l	PROPN
ejpam-6225	695	21	β−(=	β−(=	PROPN
ejpam-6225	695	22	)	)	PUNCT
ejpam-6225	695	23	)	)	PUNCT
ejpam-6225	696	1			NOUN
ejpam-6225	696	2	are	be	AUX
ejpam-6225	696	3	called	call	VERB
ejpam-6225	696	4	the	the	DET
ejpam-6225	696	5	∗−ideal	∗−ideal	ADJ
ejpam-6225	696	6	bipolar	bipolar	ADJ
ejpam-6225	696	7	sas	sa	NOUN
ejpam-6225	696	8	of	of	ADP
ejpam-6225	696	9	=	=	PUNCT
ejpam-6225	696	10	with	with	ADP
ejpam-6225	696	11	respect	respect	NOUN
ejpam-6225	696	12	to	to	ADP
ejpam-6225	696	13	the	the	DET
ejpam-6225	696	14	ibsa	ibsa	NOUN
ejpam-6225	696	15	-	-	PUNCT
ejpam-6225	696	16	space	space	NOUN
ejpam-6225	696	17	.	.	PUNCT
ejpam-6225	697	1	moreover	moreover	ADV
ejpam-6225	697	2	,	,	PUNCT
ejpam-6225	697	3	when	when	SCONJ
ejpam-6225	697	4	∗	∗	NOUN
ejpam-6225	697	5	−	−	PROPN
ejpam-6225	697	6	psr	psr	PROPN
ejpam-6225	697	7	β	β	PROPN
ejpam-6225	697	8	(	(	PUNCT
ejpam-6225	697	9	=)	=)	PROPN
ejpam-6225	697	10	6=	6=	SYM
ejpam-6225	697	11	psrβ(=	psrβ(=	NUM
ejpam-6225	697	12	)	)	PUNCT
ejpam-6225	697	13	.	.	PUNCT
ejpam-6225	698	1	then	then	ADV
ejpam-6225	698	2	,	,	PUNCT
ejpam-6225	698	3	=	=	PRON
ejpam-6225	698	4	is	be	AUX
ejpam-6225	698	5	termed	term	VERB
ejpam-6225	698	6	as	as	ADP
ejpam-6225	698	7	an	an	DET
ejpam-6225	698	8	∗−ideal	∗−ideal	ADJ
ejpam-6225	698	9	bipolar	bipolar	ADJ
ejpam-6225	698	10	soft	soft	ADJ
ejpam-6225	698	11	rough	rough	ADJ
ejpam-6225	698	12	set	set	NOUN
ejpam-6225	698	13	and	and	CCONJ
ejpam-6225	698	14	=	=	PRON
ejpam-6225	698	15	is	be	AUX
ejpam-6225	698	16	said	say	VERB
ejpam-6225	698	17	to	to	PART
ejpam-6225	698	18	be	be	AUX
ejpam-6225	698	19	∗−ideal	∗−ideal	PRON
ejpam-6225	698	20	bipolar	bipolar	ADJ
ejpam-6225	698	21	soft	soft	ADJ
ejpam-6225	698	22	βl	βl	ADJ
ejpam-6225	698	23	-rough	-rough	NOUN
ejpam-6225	698	24	;	;	PUNCT
ejpam-6225	698	25	otherwise	otherwise	ADV
ejpam-6225	698	26	=	=	PUNCT
ejpam-6225	698	27	is	be	AUX
ejpam-6225	698	28	called	call	VERB
ejpam-6225	698	29	∗−ideal	∗−ideal	PRON
ejpam-6225	698	30	bipolar	bipolar	ADJ
ejpam-6225	698	31	soft	soft	ADJ
ejpam-6225	698	32	βl	βl	ADP
ejpam-6225	698	33	definable	definable	ADJ
ejpam-6225	698	34	.	.	PUNCT
ejpam-6225	699	1	the	the	DET
ejpam-6225	699	2	corresponding	corresponding	ADJ
ejpam-6225	699	3	∗−positive	∗−positive	NOUN
ejpam-6225	699	4	,	,	PUNCT
ejpam-6225	699	5	∗−boundary	∗−boundary	NOUN
ejpam-6225	699	6	,	,	PUNCT
ejpam-6225	699	7	and	and	CCONJ
ejpam-6225	699	8	∗−negative	∗−negative	ADJ
ejpam-6225	699	9	regions	region	NOUN
ejpam-6225	699	10	with	with	ADP
ejpam-6225	699	11	respect	respect	NOUN
ejpam-6225	699	12	to	to	ADP
ejpam-6225	699	13	the	the	DET
ejpam-6225	699	14	∗−ideal	∗−ideal	ADJ
ejpam-6225	699	15	bipolar	bipolar	ADJ
ejpam-6225	699	16	sas	sa	NOUN
ejpam-6225	699	17	are	be	AUX
ejpam-6225	699	18	given	give	VERB
ejpam-6225	699	19	as	as	ADP
ejpam-6225	699	20	∗	∗	NOUN
ejpam-6225	699	21	−	−	PROPN
ejpam-6225	699	22	posl	posl	NOUN
ejpam-6225	699	23	β	β	X
ejpam-6225	699	24	(	(	PUNCT
ejpam-6225	699	25	=)	=)	PROPN
ejpam-6225	699	26	=	=	SYM
ejpam-6225	699	27	(	(	PUNCT
ejpam-6225	699	28	∗	∗	NOUN
ejpam-6225	699	29	−	−	PROPN
ejpam-6225	699	30	srl	srl	PROPN
ejpam-6225	699	31	β+(=	β+(=	PROPN
ejpam-6225	699	32	)	)	PUNCT
ejpam-6225	699	33	,	,	PUNCT
ejpam-6225	699	34	∗	∗	VERB
ejpam-6225	699	35	−	−	PROPN
ejpam-6225	699	36	sr	sr	PROPN
ejpam-6225	699	37	l	l	PROPN
ejpam-6225	699	38	β−(=	β−(=	PROPN
ejpam-6225	699	39	)	)	PUNCT
ejpam-6225	699	40	)	)	PUNCT
ejpam-6225	699	41	,	,	PUNCT
ejpam-6225	700	1	∗	∗	NOUN
ejpam-6225	700	2	−	−	PROPN
ejpam-6225	700	3	bn	bn	INTJ
ejpam-6225	700	4	dl	dl	PROPN
ejpam-6225	700	5	β	β	X
ejpam-6225	700	6	(	(	PUNCT
ejpam-6225	700	7	=)	=)	PROPN
ejpam-6225	700	8	=	=	SYM
ejpam-6225	700	9	(	(	PUNCT
ejpam-6225	700	10	∗	∗	NOUN
ejpam-6225	700	11	−	−	PROPN
ejpam-6225	700	12	sr	sr	PROPN
ejpam-6225	700	13	l	l	PROPN
ejpam-6225	700	14	β+(=	β+(=	PROPN
ejpam-6225	700	15	)	)	PUNCT
ejpam-6225	700	16	−	−	NOUN
ejpam-6225	700	17	∗	∗	NOUN
ejpam-6225	700	18	−	−	PROPN
ejpam-6225	700	19	srl	srl	PROPN
ejpam-6225	700	20	β+(=	β+(=	PROPN
ejpam-6225	700	21	)	)	PUNCT
ejpam-6225	700	22	,	,	PUNCT
ejpam-6225	700	23	∗	∗	NOUN
ejpam-6225	700	24	−	−	PROPN
ejpam-6225	700	25	srl	srl	PROPN
ejpam-6225	700	26	β−(=	β−(=	PROPN
ejpam-6225	700	27	)	)	PUNCT
ejpam-6225	700	28	−	−	NOUN
ejpam-6225	700	29	∗	∗	NOUN
ejpam-6225	700	30	−	−	PROPN
ejpam-6225	700	31	srβ−(=	srβ−(=	PROPN
ejpam-6225	700	32	)	)	PUNCT
ejpam-6225	700	33	)	)	PUNCT
ejpam-6225	701	1	∗	∗	NOUN
ejpam-6225	701	2	−	−	NOUN
ejpam-6225	701	3	n	n	PART
ejpam-6225	701	4	egl	egl	NOUN
ejpam-6225	701	5	β	β	X
ejpam-6225	701	6	(	(	PUNCT
ejpam-6225	701	7	=)	=)	PROPN
ejpam-6225	701	8	=(	=(	PROPN
ejpam-6225	701	9	q	q	NOUN
ejpam-6225	701	10	,	,	PUNCT
ejpam-6225	701	11	q	q	NOUN
ejpam-6225	701	12	)	)	PUNCT
ejpam-6225	701	13	−	−	NOUN
ejpam-6225	701	14	∗	∗	NOUN
ejpam-6225	701	15	−	−	PROPN
ejpam-6225	701	16	psr	psr	PROPN
ejpam-6225	701	17	l	l	NOUN
ejpam-6225	701	18	β	β	X
ejpam-6225	701	19	(	(	PUNCT
ejpam-6225	701	20	=)	=)	PROPN
ejpam-6225	701	21	=	=	SYM
ejpam-6225	701	22	(	(	PUNCT
ejpam-6225	701	23	(	(	PUNCT
ejpam-6225	701	24	∗	∗	NOUN
ejpam-6225	701	25	−	−	PROPN
ejpam-6225	701	26	sr	sr	PROPN
ejpam-6225	701	27	l	l	PROPN
ejpam-6225	701	28	β+(=	β+(=	PROPN
ejpam-6225	701	29	)	)	PUNCT
ejpam-6225	701	30	)	)	PUNCT
ejpam-6225	701	31	c	c	NOUN
ejpam-6225	701	32	,	,	PUNCT
ejpam-6225	701	33	(	(	PUNCT
ejpam-6225	701	34	∗	∗	NOUN
ejpam-6225	701	35	−	−	PROPN
ejpam-6225	701	36	srl	srl	PROPN
ejpam-6225	701	37	β−(=	β−(=	PROPN
ejpam-6225	701	38	)	)	PUNCT
ejpam-6225	701	39	)	)	PUNCT
ejpam-6225	702	1	c	c	X
ejpam-6225	702	2	)	)	PUNCT
ejpam-6225	702	3	.	.	PUNCT
ejpam-6225	703	1	the	the	DET
ejpam-6225	703	2	links	link	NOUN
ejpam-6225	703	3	between	between	ADP
ejpam-6225	703	4	the	the	DET
ejpam-6225	703	5	existing	exist	VERB
ejpam-6225	703	6	approximations	approximation	NOUN
ejpam-6225	703	7	in	in	ADP
ejpam-6225	703	8	definitions	definition	NOUN
ejpam-6225	703	9	3.1	3.1	NUM
ejpam-6225	703	10	and	and	CCONJ
ejpam-6225	703	11	4.1	4.1	NUM
ejpam-6225	703	12	are	be	AUX
ejpam-6225	703	13	shown	show	VERB
ejpam-6225	703	14	in	in	ADP
ejpam-6225	703	15	the	the	DET
ejpam-6225	703	16	coming	come	VERB
ejpam-6225	703	17	theorem	theorem	NOUN
ejpam-6225	703	18	.	.	PUNCT
ejpam-6225	704	1	d.	d.	PROPN
ejpam-6225	704	2	shi	shi	PROPN
ejpam-6225	704	3	et	et	PROPN
ejpam-6225	704	4	al	al	PROPN
ejpam-6225	704	5	.	.	PUNCT
ejpam-6225	704	6	/	/	SYM
ejpam-6225	704	7	eur	eur	PROPN
ejpam-6225	704	8	.	.	PUNCT
ejpam-6225	705	1	j.	j.	PROPN
ejpam-6225	705	2	pure	pure	PROPN
ejpam-6225	705	3	appl	appl	PROPN
ejpam-6225	705	4	.	.	PROPN
ejpam-6225	705	5	math	math	PROPN
ejpam-6225	705	6	,	,	PUNCT
ejpam-6225	705	7	18	18	NUM
ejpam-6225	705	8	(	(	PUNCT
ejpam-6225	705	9	4	4	NUM
ejpam-6225	705	10	)	)	PUNCT
ejpam-6225	705	11	(	(	PUNCT
ejpam-6225	705	12	2025	2025	NUM
ejpam-6225	705	13	)	)	PUNCT
ejpam-6225	705	14	,	,	PUNCT
ejpam-6225	705	15	6225	6225	NUM
ejpam-6225	705	16	19	19	NUM
ejpam-6225	705	17	of	of	ADP
ejpam-6225	705	18	36	36	NUM
ejpam-6225	705	19	theorem	theorem	VERB
ejpam-6225	705	20	4.1	4.1	NUM
ejpam-6225	705	21	.	.	PUNCT
ejpam-6225	706	1	let	let	VERB
ejpam-6225	706	2	b	b	NOUN
ejpam-6225	706	3	=	=	SYM
ejpam-6225	706	4	(	(	PUNCT
ejpam-6225	706	5	f	f	X
ejpam-6225	706	6	,	,	PUNCT
ejpam-6225	706	7	g	g	NOUN
ejpam-6225	706	8	:	:	PUNCT
ejpam-6225	706	9	℘	℘	PROPN
ejpam-6225	706	10	)	)	PUNCT
ejpam-6225	706	11	∈	∈	PROPN
ejpam-6225	706	12	bssq	bssq	NOUN
ejpam-6225	706	13	and	and	CCONJ
ejpam-6225	706	14	βl	βl	NOUN
ejpam-6225	706	15	=	=	PUNCT
ejpam-6225	706	16	(	(	PUNCT
ejpam-6225	706	17	q	q	ADJ
ejpam-6225	706	18	,	,	PUNCT
ejpam-6225	706	19	(	(	PUNCT
ejpam-6225	706	20	f	f	X
ejpam-6225	706	21	,	,	PUNCT
ejpam-6225	706	22	g	g	NOUN
ejpam-6225	706	23	:	:	PUNCT
ejpam-6225	706	24	℘	℘	NUM
ejpam-6225	706	25	)	)	PUNCT
ejpam-6225	706	26	,	,	PUNCT
ejpam-6225	706	27	l	l	NOUN
ejpam-6225	706	28	)	)	PUNCT
ejpam-6225	706	29	is	be	AUX
ejpam-6225	706	30	the	the	DET
ejpam-6225	706	31	corresponding	corresponding	ADJ
ejpam-6225	706	32	ibsa	ibsa	NOUN
ejpam-6225	706	33	-	-	PUNCT
ejpam-6225	706	34	space	space	NOUN
ejpam-6225	706	35	.	.	PUNCT
ejpam-6225	707	1	let	let	VERB
ejpam-6225	707	2	=	=	SYM
ejpam-6225	708	1	⊆	⊆	NUM
ejpam-6225	708	2	q.	q.	NOUN
ejpam-6225	708	3	then	then	ADV
ejpam-6225	708	4	,	,	PUNCT
ejpam-6225	708	5	(	(	PUNCT
ejpam-6225	708	6	1	1	X
ejpam-6225	708	7	)	)	PUNCT
ejpam-6225	708	8	∗	∗	NOUN
ejpam-6225	708	9	−	−	PROPN
ejpam-6225	708	10	psrl	psrl	PROPN
ejpam-6225	708	11	β+(=	β+(=	PROPN
ejpam-6225	708	12	)	)	PUNCT
ejpam-6225	708	13	⊆	⊆	NUM
ejpam-6225	708	14	psrl	psrl	NOUN
ejpam-6225	708	15	β+(=	β+(=	NOUN
ejpam-6225	708	16	)	)	PUNCT
ejpam-6225	708	17	;	;	PUNCT
ejpam-6225	708	18	(	(	PUNCT
ejpam-6225	708	19	2	2	X
ejpam-6225	708	20	)	)	PUNCT
ejpam-6225	708	21	psr	psr	PROPN
ejpam-6225	708	22	l	l	PROPN
ejpam-6225	708	23	β+(=	β+(=	PROPN
ejpam-6225	708	24	)	)	PUNCT
ejpam-6225	708	25	⊆	⊆	NUM
ejpam-6225	708	26	∗	∗	NOUN
ejpam-6225	708	27	−	−	PROPN
ejpam-6225	708	28	psr	psr	PROPN
ejpam-6225	708	29	l	l	PROPN
ejpam-6225	708	30	β+(=	β+(=	PROPN
ejpam-6225	708	31	)	)	PUNCT
ejpam-6225	708	32	;	;	PUNCT
ejpam-6225	708	33	(	(	PUNCT
ejpam-6225	708	34	3	3	X
ejpam-6225	708	35	)	)	PUNCT
ejpam-6225	708	36	bn	bn	NOUN
ejpam-6225	708	37	dl	dl	PROPN
ejpam-6225	708	38	β	β	X
ejpam-6225	708	39	(	(	PUNCT
ejpam-6225	708	40	=)	=)	PROPN
ejpam-6225	708	41	⊆	⊆	NUM
ejpam-6225	708	42	∗	∗	NOUN
ejpam-6225	708	43	−	−	NOUN
ejpam-6225	708	44	bn	bn	INTJ
ejpam-6225	708	45	dl	dl	PROPN
ejpam-6225	708	46	β	β	X
ejpam-6225	708	47	(	(	PUNCT
ejpam-6225	708	48	=)	=)	PROPN
ejpam-6225	708	49	.	.	PUNCT
ejpam-6225	708	50	proof	proof	NOUN
ejpam-6225	708	51	.	.	PUNCT
ejpam-6225	709	1	straightforward	straightforward	ADJ
ejpam-6225	709	2	.	.	PUNCT
ejpam-6225	710	1	proposition	proposition	NOUN
ejpam-6225	710	2	4.1	4.1	NUM
ejpam-6225	710	3	.	.	PUNCT
ejpam-6225	711	1	let	let	VERB
ejpam-6225	711	2	b	b	NOUN
ejpam-6225	711	3	=	=	SYM
ejpam-6225	711	4	(	(	PUNCT
ejpam-6225	711	5	f	f	X
ejpam-6225	711	6	,	,	PUNCT
ejpam-6225	711	7	g	g	NOUN
ejpam-6225	711	8	:	:	PUNCT
ejpam-6225	711	9	℘	℘	PROPN
ejpam-6225	711	10	)	)	PUNCT
ejpam-6225	711	11	∈	∈	PROPN
ejpam-6225	711	12	bssq	bssq	NOUN
ejpam-6225	711	13	and	and	CCONJ
ejpam-6225	711	14	βl	βl	NOUN
ejpam-6225	711	15	=	=	PUNCT
ejpam-6225	711	16	(	(	PUNCT
ejpam-6225	711	17	q	q	ADJ
ejpam-6225	711	18	,	,	PUNCT
ejpam-6225	711	19	(	(	PUNCT
ejpam-6225	711	20	f	f	X
ejpam-6225	711	21	,	,	PUNCT
ejpam-6225	711	22	g	g	NOUN
ejpam-6225	711	23	:	:	PUNCT
ejpam-6225	711	24	℘	℘	NUM
ejpam-6225	711	25	)	)	PUNCT
ejpam-6225	711	26	,	,	PUNCT
ejpam-6225	711	27	l	l	NOUN
ejpam-6225	711	28	)	)	PUNCT
ejpam-6225	711	29	is	be	AUX
ejpam-6225	711	30	the	the	DET
ejpam-6225	711	31	corresponding	corresponding	ADJ
ejpam-6225	711	32	ibsa	ibsa	NOUN
ejpam-6225	711	33	-	-	PUNCT
ejpam-6225	711	34	space	space	NOUN
ejpam-6225	711	35	.	.	PUNCT
ejpam-6225	712	1	let	let	VERB
ejpam-6225	712	2	=	=	SYM
ejpam-6225	713	1	⊆	⊆	NUM
ejpam-6225	713	2	q.	q.	NOUN
ejpam-6225	713	3	then	then	ADV
ejpam-6225	713	4	,	,	PUNCT
ejpam-6225	713	5	(	(	PUNCT
ejpam-6225	713	6	1	1	X
ejpam-6225	713	7	)	)	PUNCT
ejpam-6225	713	8	∗	∗	NOUN
ejpam-6225	713	9	−	−	PROPN
ejpam-6225	713	10	psrl	psrl	PROPN
ejpam-6225	713	11	β	β	X
ejpam-6225	713	12	(	(	PUNCT
ejpam-6225	713	13	∅	∅	NOUN
ejpam-6225	713	14	)	)	PUNCT
ejpam-6225	713	15	=	=	SYM
ejpam-6225	713	16	(	(	PUNCT
ejpam-6225	713	17	∅	∅	NOUN
ejpam-6225	713	18	,	,	PUNCT
ejpam-6225	713	19	q	q	NOUN
ejpam-6225	713	20	)	)	PUNCT
ejpam-6225	713	21	and	and	CCONJ
ejpam-6225	713	22	∗	∗	NOUN
ejpam-6225	713	23	−	−	PROPN
ejpam-6225	713	24	psr	psr	PROPN
ejpam-6225	713	25	l	l	PROPN
ejpam-6225	713	26	β	β	X
ejpam-6225	713	27	(	(	PUNCT
ejpam-6225	713	28	q	q	X
ejpam-6225	713	29	)	)	PUNCT
ejpam-6225	713	30	=	=	SYM
ejpam-6225	713	31	(	(	PUNCT
ejpam-6225	713	32	q	q	ADJ
ejpam-6225	713	33	,	,	PUNCT
ejpam-6225	713	34	∅	∅	NOUN
ejpam-6225	713	35	)	)	PUNCT
ejpam-6225	713	36	;	;	PUNCT
ejpam-6225	713	37	(	(	PUNCT
ejpam-6225	713	38	2	2	X
ejpam-6225	713	39	)	)	PUNCT
ejpam-6225	713	40	∗	∗	NOUN
ejpam-6225	713	41	−	−	PROPN
ejpam-6225	713	42	psrl	psrl	PROPN
ejpam-6225	713	43	β	β	X
ejpam-6225	713	44	(	(	PUNCT
ejpam-6225	713	45	=)	=)	PROPN
ejpam-6225	713	46	v	v	X
ejpam-6225	713	47	(=	(=	NOUN
ejpam-6225	713	48	,	,	PUNCT
ejpam-6225	713	49	=	=	NOUN
ejpam-6225	713	50	c	c	X
ejpam-6225	713	51	)	)	PUNCT
ejpam-6225	713	52	v	v	NOUN
ejpam-6225	713	53	∗	∗	NOUN
ejpam-6225	713	54	−	−	PROPN
ejpam-6225	713	55	psr	psr	PROPN
ejpam-6225	713	56	l	l	PROPN
ejpam-6225	713	57	β	β	X
ejpam-6225	713	58	(	(	PUNCT
ejpam-6225	713	59	=)	=)	PROPN
ejpam-6225	713	60	;	;	PUNCT
ejpam-6225	713	61	(	(	PUNCT
ejpam-6225	713	62	3	3	X
ejpam-6225	713	63	)	)	PUNCT
ejpam-6225	713	64	∗	∗	NOUN
ejpam-6225	713	65	−	−	PROPN
ejpam-6225	713	66	psrl	psrl	PROPN
ejpam-6225	713	67	β	β	X
ejpam-6225	713	68	(=	(=	X
ejpam-6225	713	69	c	c	X
ejpam-6225	713	70	)	)	PUNCT
ejpam-6225	713	71	=	=	NOUN
ejpam-6225	714	1	[	[	X
ejpam-6225	714	2	∗	∗	X
ejpam-6225	714	3	−	−	PROPN
ejpam-6225	714	4	psr	psr	PROPN
ejpam-6225	714	5	l	l	PROPN
ejpam-6225	714	6	β	β	X
ejpam-6225	714	7	(=	(=	X
ejpam-6225	714	8	)	)	PUNCT
ejpam-6225	715	1	]	]	PUNCT
ejpam-6225	715	2	c	c	NOUN
ejpam-6225	715	3	and	and	CCONJ
ejpam-6225	715	4	∗	∗	NOUN
ejpam-6225	715	5	−	−	PROPN
ejpam-6225	715	6	psr	psr	PROPN
ejpam-6225	715	7	l	l	PROPN
ejpam-6225	715	8	β	β	X
ejpam-6225	715	9	(=	(=	X
ejpam-6225	715	10	c	c	X
ejpam-6225	715	11	)	)	PUNCT
ejpam-6225	716	1	=	=	NOUN
ejpam-6225	717	1	[	[	X
ejpam-6225	717	2	∗	∗	X
ejpam-6225	717	3	−	−	PROPN
ejpam-6225	717	4	psrl	psrl	PROPN
ejpam-6225	717	5	β	β	X
ejpam-6225	717	6	(=	(=	NOUN
ejpam-6225	717	7	)	)	PUNCT
ejpam-6225	717	8	]	]	X
ejpam-6225	717	9	c	c	X
ejpam-6225	717	10	;	;	PUNCT
ejpam-6225	717	11	(	(	PUNCT
ejpam-6225	717	12	4	4	X
ejpam-6225	717	13	)	)	PUNCT
ejpam-6225	717	14	=	=	NOUN
ejpam-6225	717	15	v	v	ADP
ejpam-6225	717	16	ϑ	ϑ	PRON
ejpam-6225	717	17	⇒	⇒	NOUN
ejpam-6225	717	18	∗	∗	NOUN
ejpam-6225	717	19	−	−	PROPN
ejpam-6225	717	20	psrl	psrl	PROPN
ejpam-6225	717	21	β	β	X
ejpam-6225	717	22	(	(	PUNCT
ejpam-6225	717	23	=)	=)	PROPN
ejpam-6225	717	24	v	v	ADP
ejpam-6225	717	25	∗	∗	NOUN
ejpam-6225	717	26	−	−	PROPN
ejpam-6225	717	27	psrl	psrl	PROPN
ejpam-6225	717	28	β	β	X
ejpam-6225	717	29	(	(	PUNCT
ejpam-6225	717	30	ϑ	ϑ	NOUN
ejpam-6225	717	31	)	)	PUNCT
ejpam-6225	717	32	and	and	CCONJ
ejpam-6225	717	33	∗	∗	NOUN
ejpam-6225	717	34	−	−	PROPN
ejpam-6225	717	35	psr	psr	PROPN
ejpam-6225	717	36	l	l	PROPN
ejpam-6225	717	37	β	β	X
ejpam-6225	717	38	(	(	PUNCT
ejpam-6225	717	39	=)	=)	PROPN
ejpam-6225	717	40	v	v	ADP
ejpam-6225	717	41	∗	∗	NOUN
ejpam-6225	717	42	−	−	PROPN
ejpam-6225	717	43	psr	psr	PROPN
ejpam-6225	717	44	l	l	PROPN
ejpam-6225	717	45	β	β	X
ejpam-6225	717	46	(	(	PUNCT
ejpam-6225	717	47	ϑ	ϑ	NOUN
ejpam-6225	717	48	)	)	PUNCT
ejpam-6225	717	49	;	;	PUNCT
ejpam-6225	717	50	(	(	PUNCT
ejpam-6225	717	51	5	5	X
ejpam-6225	717	52	)	)	PUNCT
ejpam-6225	717	53	∗	∗	NOUN
ejpam-6225	717	54	−	−	PROPN
ejpam-6225	717	55	psrl	psrl	PROPN
ejpam-6225	717	56	β	β	X
ejpam-6225	718	1	[	[	X
ejpam-6225	718	2	∗	∗	X
ejpam-6225	718	3	−	−	PROPN
ejpam-6225	718	4	psrl	psrl	PROPN
ejpam-6225	718	5	β	β	X
ejpam-6225	718	6	(	(	PUNCT
ejpam-6225	718	7	=)	=)	PROPN
ejpam-6225	718	8	]	]	X
ejpam-6225	718	9	=	=	SYM
ejpam-6225	718	10	∗	∗	NOUN
ejpam-6225	718	11	−	−	PROPN
ejpam-6225	718	12	psrl	psrl	PROPN
ejpam-6225	718	13	β	β	X
ejpam-6225	718	14	(	(	PUNCT
ejpam-6225	718	15	=)	=)	PROPN
ejpam-6225	718	16	and	and	CCONJ
ejpam-6225	718	17	∗	∗	NOUN
ejpam-6225	718	18	−	−	PROPN
ejpam-6225	718	19	psr	psr	PROPN
ejpam-6225	718	20	l	l	NOUN
ejpam-6225	718	21	β	β	X
ejpam-6225	719	1	[	[	X
ejpam-6225	719	2	∗	∗	X
ejpam-6225	719	3	−	−	PROPN
ejpam-6225	719	4	psr	psr	PROPN
ejpam-6225	719	5	l	l	NOUN
ejpam-6225	719	6	β	β	X
ejpam-6225	719	7	(	(	PUNCT
ejpam-6225	719	8	=)	=)	PROPN
ejpam-6225	719	9	]	]	X
ejpam-6225	719	10	=	=	SYM
ejpam-6225	719	11	∗	∗	NOUN
ejpam-6225	719	12	−	−	PROPN
ejpam-6225	719	13	psr	psr	PROPN
ejpam-6225	719	14	l	l	PROPN
ejpam-6225	719	15	β	β	X
ejpam-6225	719	16	(	(	PUNCT
ejpam-6225	719	17	=)	=)	PROPN
ejpam-6225	719	18	;	;	PUNCT
ejpam-6225	719	19	(	(	PUNCT
ejpam-6225	719	20	6	6	X
ejpam-6225	719	21	)	)	PUNCT
ejpam-6225	719	22	∗	∗	NOUN
ejpam-6225	719	23	−	−	PROPN
ejpam-6225	719	24	psrl	psrl	PROPN
ejpam-6225	719	25	β	β	X
ejpam-6225	720	1	[	[	X
ejpam-6225	720	2	∗	∗	X
ejpam-6225	720	3	−	−	PROPN
ejpam-6225	720	4	psr	psr	PROPN
ejpam-6225	720	5	l	l	NOUN
ejpam-6225	720	6	β	β	X
ejpam-6225	720	7	(	(	PUNCT
ejpam-6225	720	8	=)	=)	PROPN
ejpam-6225	720	9	]	]	X
ejpam-6225	720	10	v	v	ADP
ejpam-6225	720	11	∗	∗	NOUN
ejpam-6225	720	12	−	−	PROPN
ejpam-6225	720	13	psr	psr	PROPN
ejpam-6225	720	14	l	l	PROPN
ejpam-6225	720	15	β	β	X
ejpam-6225	720	16	(	(	PUNCT
ejpam-6225	720	17	=)	=)	PROPN
ejpam-6225	720	18	and	and	CCONJ
ejpam-6225	720	19	∗	∗	NOUN
ejpam-6225	720	20	−	−	PROPN
ejpam-6225	720	21	psrl	psrl	PROPN
ejpam-6225	720	22	β	β	X
ejpam-6225	720	23	(	(	PUNCT
ejpam-6225	720	24	=)	=)	PROPN
ejpam-6225	720	25	v	v	ADP
ejpam-6225	720	26	∗	∗	NOUN
ejpam-6225	720	27	−	−	PROPN
ejpam-6225	720	28	psr	psr	PROPN
ejpam-6225	720	29	l	l	NOUN
ejpam-6225	720	30	β	β	X
ejpam-6225	721	1	[	[	X
ejpam-6225	721	2	∗	∗	X
ejpam-6225	721	3	−	−	PROPN
ejpam-6225	721	4	psrl	psrl	PROPN
ejpam-6225	721	5	β	β	X
ejpam-6225	721	6	(	(	PUNCT
ejpam-6225	721	7	=)	=)	PROPN
ejpam-6225	721	8	]	]	X
ejpam-6225	721	9	;	;	PUNCT
ejpam-6225	721	10	(	(	PUNCT
ejpam-6225	721	11	7	7	X
ejpam-6225	721	12	)	)	PUNCT
ejpam-6225	721	13	∗	∗	NOUN
ejpam-6225	721	14	−	−	PROPN
ejpam-6225	721	15	psrl	psrl	PROPN
ejpam-6225	721	16	β	β	X
ejpam-6225	721	17	(=	(=	X
ejpam-6225	721	18	t	t	PROPN
ejpam-6225	721	19	ϑ	ϑ	X
ejpam-6225	721	20	)	)	PUNCT
ejpam-6225	721	21	v	v	NOUN
ejpam-6225	721	22	∗	∗	NOUN
ejpam-6225	721	23	−	−	PROPN
ejpam-6225	722	1	psrl	psrl	PROPN
ejpam-6225	722	2	β	β	X
ejpam-6225	722	3	(	(	PUNCT
ejpam-6225	722	4	=)	=)	PROPN
ejpam-6225	722	5	t	t	PROPN
ejpam-6225	722	6	∗	∗	NOUN
ejpam-6225	722	7	−	−	PROPN
ejpam-6225	722	8	psrl	psrl	PROPN
ejpam-6225	722	9	β	β	X
ejpam-6225	722	10	(	(	PUNCT
ejpam-6225	722	11	ϑ	ϑ	NOUN
ejpam-6225	722	12	)	)	PUNCT
ejpam-6225	722	13	and	and	CCONJ
ejpam-6225	722	14	∗	∗	NOUN
ejpam-6225	722	15	−	−	PROPN
ejpam-6225	722	16	psrl	psrl	PROPN
ejpam-6225	722	17	β	β	X
ejpam-6225	722	18	(	(	PUNCT
ejpam-6225	722	19	=)	=)	PROPN
ejpam-6225	722	20	t	t	PROPN
ejpam-6225	722	21	∗	∗	NOUN
ejpam-6225	722	22	−	−	PROPN
ejpam-6225	722	23	psrl	psrl	PROPN
ejpam-6225	722	24	β	β	X
ejpam-6225	722	25	(	(	PUNCT
ejpam-6225	722	26	ϑ	ϑ	NOUN
ejpam-6225	722	27	)	)	PUNCT
ejpam-6225	722	28	v	v	NOUN
ejpam-6225	722	29	∗	∗	NOUN
ejpam-6225	722	30	−	−	PROPN
ejpam-6225	722	31	psrl	psrl	PROPN
ejpam-6225	722	32	β	β	X
ejpam-6225	722	33	(=	(=	X
ejpam-6225	722	34	t	t	PROPN
ejpam-6225	722	35	ϑ	ϑ	PROPN
ejpam-6225	722	36	)	)	PUNCT
ejpam-6225	722	37	;	;	PUNCT
ejpam-6225	722	38	(	(	PUNCT
ejpam-6225	722	39	8)	8)	NUM
ejpam-6225	722	40	∗	∗	NOUN
ejpam-6225	722	41	−	−	PROPN
ejpam-6225	722	42	psr	psr	PROPN
ejpam-6225	722	43	l	l	PROPN
ejpam-6225	722	44	β	β	X
ejpam-6225	722	45	(=	(=	X
ejpam-6225	722	46	t	t	PROPN
ejpam-6225	722	47	ϑ	ϑ	X
ejpam-6225	722	48	)	)	PUNCT
ejpam-6225	722	49	v	v	ADP
ejpam-6225	722	50	∗	∗	NOUN
ejpam-6225	722	51	−	−	PROPN
ejpam-6225	722	52	psr	psr	PROPN
ejpam-6225	722	53	l	l	PROPN
ejpam-6225	722	54	β	β	X
ejpam-6225	722	55	(	(	PUNCT
ejpam-6225	722	56	=)	=)	PROPN
ejpam-6225	722	57	t	t	PROPN
ejpam-6225	722	58	∗	∗	NOUN
ejpam-6225	722	59	−	−	PROPN
ejpam-6225	722	60	psr	psr	PROPN
ejpam-6225	722	61	l	l	PROPN
ejpam-6225	722	62	β	β	X
ejpam-6225	722	63	(	(	PUNCT
ejpam-6225	722	64	ϑ	ϑ	NOUN
ejpam-6225	722	65	)	)	PUNCT
ejpam-6225	722	66	and	and	CCONJ
ejpam-6225	722	67	∗	∗	NOUN
ejpam-6225	722	68	−	−	PROPN
ejpam-6225	722	69	psr	psr	PROPN
ejpam-6225	722	70	l	l	PROPN
ejpam-6225	722	71	β	β	X
ejpam-6225	722	72	(	(	PUNCT
ejpam-6225	722	73	=)	=)	PROPN
ejpam-6225	722	74	t	t	PROPN
ejpam-6225	722	75	∗	∗	NOUN
ejpam-6225	722	76	−	−	PROPN
ejpam-6225	722	77	psr	psr	PROPN
ejpam-6225	722	78	l	l	PROPN
ejpam-6225	722	79	β	β	X
ejpam-6225	722	80	(	(	PUNCT
ejpam-6225	722	81	ϑ	ϑ	NOUN
ejpam-6225	722	82	)	)	PUNCT
ejpam-6225	722	83	v	v	NOUN
ejpam-6225	722	84	∗	∗	NOUN
ejpam-6225	722	85	−	−	PROPN
ejpam-6225	722	86	psr	psr	PROPN
ejpam-6225	722	87	l	l	PROPN
ejpam-6225	722	88	β	β	X
ejpam-6225	722	89	(=	(=	X
ejpam-6225	722	90	t	t	PROPN
ejpam-6225	722	91	ϑ	ϑ	PROPN
ejpam-6225	722	92	)	)	PUNCT
ejpam-6225	722	93	.	.	PUNCT
ejpam-6225	723	1	proof	proof	NOUN
ejpam-6225	723	2	.	.	PUNCT
ejpam-6225	724	1	straightforward	straightforward	ADJ
ejpam-6225	724	2	.	.	PUNCT
ejpam-6225	725	1	the	the	DET
ejpam-6225	725	2	connections	connection	NOUN
ejpam-6225	725	3	between	between	ADP
ejpam-6225	725	4	the	the	DET
ejpam-6225	725	5	prior	prior	ADJ
ejpam-6225	725	6	definitions	definition	NOUN
ejpam-6225	725	7	in	in	ADP
ejpam-6225	725	8	[	[	X
ejpam-6225	725	9	33	33	NUM
ejpam-6225	725	10	]	]	PUNCT
ejpam-6225	725	11	,	,	PUNCT
ejpam-6225	725	12	[	[	X
ejpam-6225	725	13	34	34	NUM
ejpam-6225	725	14	]	]	PUNCT
ejpam-6225	725	15	,	,	PUNCT
ejpam-6225	725	16	[	[	X
ejpam-6225	725	17	35	35	NUM
ejpam-6225	725	18	]	]	PUNCT
ejpam-6225	725	19	and	and	CCONJ
ejpam-6225	725	20	the	the	DET
ejpam-6225	725	21	current	current	ADJ
ejpam-6225	725	22	approximations	approximation	NOUN
ejpam-6225	725	23	in	in	ADP
ejpam-6225	725	24	definition	definition	NOUN
ejpam-6225	725	25	4.1	4.1	NUM
ejpam-6225	725	26	are	be	AUX
ejpam-6225	725	27	shown	show	VERB
ejpam-6225	725	28	in	in	ADP
ejpam-6225	725	29	the	the	DET
ejpam-6225	725	30	following	follow	VERB
ejpam-6225	725	31	theorem	theorem	PROPN
ejpam-6225	725	32	.	.	PUNCT
ejpam-6225	725	33	theorem	theorem	VERB
ejpam-6225	725	34	4.2	4.2	NUM
ejpam-6225	725	35	.	.	PUNCT
ejpam-6225	726	1	let	let	VERB
ejpam-6225	726	2	b	b	NOUN
ejpam-6225	726	3	=	=	SYM
ejpam-6225	726	4	(	(	PUNCT
ejpam-6225	726	5	f	f	X
ejpam-6225	726	6	,	,	PUNCT
ejpam-6225	726	7	g	g	NOUN
ejpam-6225	726	8	:	:	PUNCT
ejpam-6225	726	9	℘	℘	PROPN
ejpam-6225	726	10	)	)	PUNCT
ejpam-6225	726	11	∈	∈	PROPN
ejpam-6225	726	12	bssq	bssq	NOUN
ejpam-6225	726	13	be	be	AUX
ejpam-6225	726	14	a	a	DET
ejpam-6225	726	15	full	full	ADJ
ejpam-6225	726	16	bipolar	bipolar	ADJ
ejpam-6225	726	17	soft	soft	ADJ
ejpam-6225	726	18	set	set	NOUN
ejpam-6225	726	19	and	and	CCONJ
ejpam-6225	726	20	βl	βl	NOUN
ejpam-6225	726	21	=	=	SYM
ejpam-6225	726	22	(	(	PUNCT
ejpam-6225	726	23	q	q	ADJ
ejpam-6225	726	24	,	,	PUNCT
ejpam-6225	726	25	(	(	PUNCT
ejpam-6225	726	26	f	f	X
ejpam-6225	726	27	,	,	PUNCT
ejpam-6225	726	28	g	g	NOUN
ejpam-6225	726	29	:	:	PUNCT
ejpam-6225	726	30	℘	℘	NUM
ejpam-6225	726	31	)	)	PUNCT
ejpam-6225	726	32	,	,	PUNCT
ejpam-6225	726	33	l	l	NOUN
ejpam-6225	726	34	)	)	PUNCT
ejpam-6225	726	35	is	be	AUX
ejpam-6225	726	36	the	the	DET
ejpam-6225	726	37	corresponding	corresponding	ADJ
ejpam-6225	726	38	ibsa	ibsa	NOUN
ejpam-6225	726	39	-	-	PUNCT
ejpam-6225	726	40	space	space	NOUN
ejpam-6225	726	41	.	.	PUNCT
ejpam-6225	727	1	let	let	VERB
ejpam-6225	727	2	=	=	SYM
ejpam-6225	728	1	⊆	⊆	NUM
ejpam-6225	728	2	q.	q.	NOUN
ejpam-6225	728	3	then	then	ADV
ejpam-6225	728	4	,	,	PUNCT
ejpam-6225	728	5	(	(	PUNCT
ejpam-6225	728	6	1	1	X
ejpam-6225	728	7	)	)	PUNCT
ejpam-6225	728	8	sfβ+(=	sfβ+(=	NUM
ejpam-6225	728	9	)	)	PUNCT
ejpam-6225	728	10	⊆	⊆	NUM
ejpam-6225	728	11	sfl	sfl	NOUN
ejpam-6225	728	12	β+(=	β+(=	NUM
ejpam-6225	728	13	)	)	PUNCT
ejpam-6225	728	14	=	=	NOUN
ejpam-6225	729	1	∗	∗	NOUN
ejpam-6225	729	2	−	−	PROPN
ejpam-6225	729	3	psrl	psrl	PROPN
ejpam-6225	729	4	β+(=	β+(=	NOUN
ejpam-6225	729	5	)	)	PUNCT
ejpam-6225	730	1	⊆	⊆	NUM
ejpam-6225	730	2	(=	(=	NOUN
ejpam-6225	730	3	,	,	PUNCT
ejpam-6225	730	4	=	=	NOUN
ejpam-6225	730	5	c	c	X
ejpam-6225	730	6	)	)	PUNCT
ejpam-6225	730	7	⊆	⊆	NUM
ejpam-6225	730	8	∗	∗	NOUN
ejpam-6225	730	9	−	−	PROPN
ejpam-6225	730	10	psr	psr	PROPN
ejpam-6225	730	11	l	l	PROPN
ejpam-6225	730	12	β+(=	β+(=	PROPN
ejpam-6225	730	13	)	)	PUNCT
ejpam-6225	730	14	⊆	⊆	NUM
ejpam-6225	730	15	sf	sf	PROPN
ejpam-6225	730	16	l	l	NOUN
ejpam-6225	730	17	β+(=	β+(=	NOUN
ejpam-6225	730	18	)	)	PUNCT
ejpam-6225	730	19	⊆	⊆	NUM
ejpam-6225	730	20	sfβ+(=	sfβ+(=	NUM
ejpam-6225	730	21	)	)	PUNCT
ejpam-6225	730	22	;	;	PUNCT
ejpam-6225	730	23	(	(	PUNCT
ejpam-6225	730	24	2	2	X
ejpam-6225	730	25	)	)	PUNCT
ejpam-6225	730	26	sfβ+(=	sfβ+(=	NUM
ejpam-6225	730	27	)	)	PUNCT
ejpam-6225	730	28	=	=	SYM
ejpam-6225	730	29	psr	psr	PROPN
ejpam-6225	730	30	β+(=	β+(=	PROPN
ejpam-6225	730	31	)	)	PUNCT
ejpam-6225	730	32	⊆	⊆	NUM
ejpam-6225	730	33	∗	∗	NOUN
ejpam-6225	730	34	−	−	PROPN
ejpam-6225	730	35	psrl	psrl	PROPN
ejpam-6225	730	36	β+(=	β+(=	PROPN
ejpam-6225	730	37	)	)	PUNCT
ejpam-6225	730	38	⊆	⊆	NUM
ejpam-6225	730	39	(=	(=	NOUN
ejpam-6225	730	40	,	,	PUNCT
ejpam-6225	730	41	=	=	NOUN
ejpam-6225	730	42	c	c	X
ejpam-6225	730	43	)	)	PUNCT
ejpam-6225	730	44	⊆	⊆	NUM
ejpam-6225	730	45	∗	∗	NOUN
ejpam-6225	730	46	−	−	PROPN
ejpam-6225	730	47	psr	psr	PROPN
ejpam-6225	730	48	l	l	PROPN
ejpam-6225	730	49	β+(=	β+(=	PROPN
ejpam-6225	730	50	)	)	PUNCT
ejpam-6225	730	51	⊆	⊆	NUM
ejpam-6225	730	52	psrβ+(=	psrβ+(=	NOUN
ejpam-6225	730	53	)	)	PUNCT
ejpam-6225	730	54	⊆	⊆	NUM
ejpam-6225	730	55	sfβ+(=	sfβ+(=	NUM
ejpam-6225	730	56	)	)	PUNCT
ejpam-6225	730	57	;	;	PUNCT
ejpam-6225	730	58	proof	proof	NOUN
ejpam-6225	730	59	.	.	PUNCT
ejpam-6225	731	1	immediately	immediately	ADV
ejpam-6225	731	2	.	.	PUNCT
ejpam-6225	732	1	d.	d.	PROPN
ejpam-6225	732	2	shi	shi	PROPN
ejpam-6225	732	3	et	et	PROPN
ejpam-6225	732	4	al	al	PROPN
ejpam-6225	732	5	.	.	PUNCT
ejpam-6225	732	6	/	/	SYM
ejpam-6225	732	7	eur	eur	PROPN
ejpam-6225	732	8	.	.	PUNCT
ejpam-6225	733	1	j.	j.	PROPN
ejpam-6225	733	2	pure	pure	PROPN
ejpam-6225	733	3	appl	appl	PROPN
ejpam-6225	733	4	.	.	PROPN
ejpam-6225	733	5	math	math	PROPN
ejpam-6225	733	6	,	,	PUNCT
ejpam-6225	733	7	18	18	NUM
ejpam-6225	733	8	(	(	PUNCT
ejpam-6225	733	9	4	4	NUM
ejpam-6225	733	10	)	)	PUNCT
ejpam-6225	733	11	(	(	PUNCT
ejpam-6225	733	12	2025	2025	NUM
ejpam-6225	733	13	)	)	PUNCT
ejpam-6225	733	14	,	,	PUNCT
ejpam-6225	733	15	6225	6225	NUM
ejpam-6225	733	16	20	20	NUM
ejpam-6225	733	17	of	of	ADP
ejpam-6225	733	18	36	36	NUM
ejpam-6225	733	19	remark	remark	NOUN
ejpam-6225	733	20	4.1	4.1	NUM
ejpam-6225	733	21	.	.	PUNCT
ejpam-6225	733	22	theorem	theorem	VERB
ejpam-6225	733	23	4.2	4.2	NUM
ejpam-6225	733	24	states	state	NOUN
ejpam-6225	733	25	that	that	SCONJ
ejpam-6225	733	26	,	,	PUNCT
ejpam-6225	733	27	when	when	SCONJ
ejpam-6225	733	28	the	the	DET
ejpam-6225	733	29	methods	method	NOUN
ejpam-6225	733	30	in	in	ADP
ejpam-6225	733	31	definition	definition	NOUN
ejpam-6225	733	32	2.10	2.10	NUM
ejpam-6225	733	33	in	in	ADP
ejpam-6225	733	34	[	[	X
ejpam-6225	733	35	33	33	NUM
ejpam-6225	733	36	]	]	PUNCT
ejpam-6225	733	37	,	,	PUNCT
ejpam-6225	733	38	definition	definition	NOUN
ejpam-6225	733	39	2.12	2.12	NUM
ejpam-6225	733	40	in	in	ADP
ejpam-6225	733	41	[	[	X
ejpam-6225	733	42	35	35	NUM
ejpam-6225	733	43	]	]	PUNCT
ejpam-6225	733	44	,	,	PUNCT
ejpam-6225	733	45	definition	definition	NOUN
ejpam-6225	733	46	2.9	2.9	NUM
ejpam-6225	733	47	in	in	ADP
ejpam-6225	733	48	[	[	X
ejpam-6225	733	49	34	34	NUM
ejpam-6225	733	50	]	]	PUNCT
ejpam-6225	733	51	and	and	CCONJ
ejpam-6225	733	52	our	our	PRON
ejpam-6225	733	53	proposed	propose	VERB
ejpam-6225	733	54	method	method	NOUN
ejpam-6225	733	55	in	in	ADP
ejpam-6225	733	56	definition	definition	NOUN
ejpam-6225	733	57	4.1	4.1	NUM
ejpam-6225	733	58	are	be	AUX
ejpam-6225	733	59	compared	compare	VERB
ejpam-6225	733	60	,	,	PUNCT
ejpam-6225	733	61	it	it	PRON
ejpam-6225	733	62	is	be	AUX
ejpam-6225	733	63	observed	observe	VERB
ejpam-6225	733	64	that	that	SCONJ
ejpam-6225	733	65	definition	definition	NOUN
ejpam-6225	733	66	4.1	4.1	NUM
ejpam-6225	733	67	enhances	enhance	VERB
ejpam-6225	733	68	the	the	DET
ejpam-6225	733	69	bipolar	bipolar	ADJ
ejpam-6225	733	70	br	br	NOUN
ejpam-6225	733	71	and	and	CCONJ
ejpam-6225	733	72	enlarges	enlarge	VERB
ejpam-6225	733	73	the	the	DET
ejpam-6225	733	74	bipolar	bipolar	ADJ
ejpam-6225	733	75	am	am	NOUN
ejpam-6225	733	76	of	of	ADP
ejpam-6225	733	77	a	a	DET
ejpam-6225	733	78	set	set	NOUN
ejpam-6225	733	79	=	=	PUNCT
ejpam-6225	733	80	by	by	ADP
ejpam-6225	733	81	enlarging	enlarge	VERB
ejpam-6225	733	82	the	the	DET
ejpam-6225	733	83	bipolar	bipolar	ADJ
ejpam-6225	733	84	la	la	NOUN
ejpam-6225	733	85	and	and	CCONJ
ejpam-6225	733	86	shrinking	shrink	VERB
ejpam-6225	733	87	the	the	DET
ejpam-6225	733	88	bipolar	bipolar	ADJ
ejpam-6225	733	89	ua	ua	PROPN
ejpam-6225	733	90	.	.	PUNCT
ejpam-6225	734	1	so	so	ADV
ejpam-6225	734	2	,	,	PUNCT
ejpam-6225	734	3	the	the	DET
ejpam-6225	734	4	suggested	suggest	VERB
ejpam-6225	734	5	method	method	NOUN
ejpam-6225	734	6	is	be	AUX
ejpam-6225	734	7	more	more	ADV
ejpam-6225	734	8	accurate	accurate	ADJ
ejpam-6225	734	9	than	than	ADP
ejpam-6225	734	10	[	[	X
ejpam-6225	734	11	33	33	NUM
ejpam-6225	734	12	]	]	PUNCT
ejpam-6225	734	13	,	,	PUNCT
ejpam-6225	734	14	[	[	X
ejpam-6225	734	15	34	34	NUM
ejpam-6225	734	16	]	]	PUNCT
ejpam-6225	734	17	and	and	CCONJ
ejpam-6225	734	18	[	[	X
ejpam-6225	734	19	35	35	NUM
ejpam-6225	734	20	]	]	PUNCT
ejpam-6225	734	21	in	in	ADP
ejpam-6225	734	22	decision	decision	NOUN
ejpam-6225	734	23	making	making	NOUN
ejpam-6225	734	24	.	.	PUNCT
ejpam-6225	735	1	as	as	ADP
ejpam-6225	735	2	a	a	DET
ejpam-6225	735	3	special	special	ADJ
ejpam-6225	735	4	case	case	NOUN
ejpam-6225	735	5	:	:	PUNCT
ejpam-6225	735	6	if	if	SCONJ
ejpam-6225	735	7	l	l	NOUN
ejpam-6225	735	8	=	=	SYM
ejpam-6225	735	9	∅	∅	NOUN
ejpam-6225	735	10	,	,	PUNCT
ejpam-6225	735	11	then	then	ADV
ejpam-6225	735	12	definition	definition	NOUN
ejpam-6225	735	13	4.1	4.1	NUM
ejpam-6225	735	14	coincide	coincide	NOUN
ejpam-6225	735	15	with	with	ADP
ejpam-6225	735	16	the	the	DET
ejpam-6225	735	17	previous	previous	ADJ
ejpam-6225	735	18	definition	definition	NOUN
ejpam-6225	735	19	in	in	ADP
ejpam-6225	735	20	[	[	X
ejpam-6225	735	21	34	34	NUM
ejpam-6225	735	22	]	]	SYM
ejpam-6225	735	23	.	.	PUNCT
ejpam-6225	736	1	5	5	X
ejpam-6225	736	2	.	.	X
ejpam-6225	736	3	bi	bi	ADJ
ejpam-6225	736	4	-	-	ADJ
ejpam-6225	736	5	ideal	ideal	ADJ
ejpam-6225	736	6	bipolar	bipolar	ADJ
ejpam-6225	736	7	sa	sa	NOUN
ejpam-6225	736	8	spaces	space	NOUN
ejpam-6225	736	9	definition	definition	NOUN
ejpam-6225	736	10	5.1	5.1	NUM
ejpam-6225	736	11	.	.	PUNCT
ejpam-6225	737	1	let	let	VERB
ejpam-6225	737	2	b	b	NOUN
ejpam-6225	737	3	=	=	SYM
ejpam-6225	737	4	(	(	PUNCT
ejpam-6225	737	5	f	f	X
ejpam-6225	737	6	,	,	PUNCT
ejpam-6225	737	7	g	g	NOUN
ejpam-6225	737	8	:	:	PUNCT
ejpam-6225	737	9	℘	℘	PROPN
ejpam-6225	737	10	)	)	PUNCT
ejpam-6225	737	11	∈	∈	PROPN
ejpam-6225	737	12	bssq	bssq	NOUN
ejpam-6225	737	13	and	and	CCONJ
ejpam-6225	737	14	l1	l1	PROPN
ejpam-6225	737	15	,	,	PUNCT
ejpam-6225	737	16	l2	l2	NOUN
ejpam-6225	737	17	be	be	AUX
ejpam-6225	737	18	two	two	NUM
ejpam-6225	737	19	ideals	ideal	NOUN
ejpam-6225	737	20	on	on	ADP
ejpam-6225	737	21	q.	q.	PROPN
ejpam-6225	737	22	then	then	ADV
ejpam-6225	737	23	,	,	PUNCT
ejpam-6225	737	24	β	β	X
ejpam-6225	737	25	<	<	X
ejpam-6225	737	26	l1,l2	l1,l2	PROPN
ejpam-6225	737	27	>	>	X
ejpam-6225	737	28	=	=	PUNCT
ejpam-6225	738	1	(	(	PUNCT
ejpam-6225	738	2	q	q	ADJ
ejpam-6225	738	3	,	,	PUNCT
ejpam-6225	738	4	(	(	PUNCT
ejpam-6225	738	5	f	f	X
ejpam-6225	738	6	,	,	PUNCT
ejpam-6225	738	7	g	g	NOUN
ejpam-6225	738	8	:	:	PUNCT
ejpam-6225	738	9	℘	℘	PROPN
ejpam-6225	738	10	)	)	PUNCT
ejpam-6225	738	11	,	,	PUNCT
ejpam-6225	738	12	l1	l1	PROPN
ejpam-6225	738	13	,	,	PUNCT
ejpam-6225	738	14	l2	l2	NOUN
ejpam-6225	738	15	)	)	PUNCT
ejpam-6225	738	16	is	be	AUX
ejpam-6225	738	17	called	call	VERB
ejpam-6225	738	18	bi	bi	ADJ
ejpam-6225	738	19	-	-	ADJ
ejpam-6225	738	20	ideal	ideal	ADJ
ejpam-6225	738	21	bipolar	bipolar	ADJ
ejpam-6225	738	22	soft	soft	ADJ
ejpam-6225	738	23	approximation	approximation	NOUN
ejpam-6225	738	24	space	space	NOUN
ejpam-6225	738	25	(	(	PUNCT
ejpam-6225	738	26	bi	bi	NOUN
ejpam-6225	738	27	-	-	ADJ
ejpam-6225	738	28	ibsaspace	ibsaspace	NOUN
ejpam-6225	738	29	for	for	ADP
ejpam-6225	738	30	short	short	ADJ
ejpam-6225	738	31	)	)	PUNCT
ejpam-6225	738	32	.	.	PUNCT
ejpam-6225	739	1	based	base	VERB
ejpam-6225	739	2	on	on	ADP
ejpam-6225	739	3	βl1,l2	βl1,l2	NOUN
ejpam-6225	739	4	,	,	PUNCT
ejpam-6225	739	5	the	the	DET
ejpam-6225	739	6	following	follow	VERB
ejpam-6225	739	7	operators	operator	NOUN
ejpam-6225	739	8	are	be	AUX
ejpam-6225	739	9	defined	define	VERB
ejpam-6225	739	10	for	for	ADP
ejpam-6225	739	11	any	any	DET
ejpam-6225	739	12	=	=	SYM
ejpam-6225	739	13	⊆	⊆	NUM
ejpam-6225	739	14	q	q	NOUN
ejpam-6225	739	15	:	:	PUNCT
ejpam-6225	739	16	sr	sr	PROPN
ejpam-6225	739	17	<	<	X
ejpam-6225	739	18	l1,l2	l1,l2	PROPN
ejpam-6225	739	19	>	>	X
ejpam-6225	739	20	β+	β+	PUNCT
ejpam-6225	739	21	(	(	PUNCT
ejpam-6225	739	22	=)	=)	PROPN
ejpam-6225	739	23	=	=	SYM
ejpam-6225	739	24	⋃	⋃	NOUN
ejpam-6225	739	25	{	{	PUNCT
ejpam-6225	739	26	f(ς	f(ς	PROPN
ejpam-6225	739	27	)	)	PUNCT
ejpam-6225	739	28	,	,	PUNCT
ejpam-6225	739	29	ς	ς	PROPN
ejpam-6225	739	30	∈	∈	PROPN
ejpam-6225	739	31	℘	℘	PROPN
ejpam-6225	739	32	:	:	PUNCT
ejpam-6225	739	33	f(ς	f(ς	PROPN
ejpam-6225	739	34	)	)	PUNCT
ejpam-6225	739	35	∩	∩	NOUN
ejpam-6225	740	1	=	=	SYM
ejpam-6225	740	2	c	c	X
ejpam-6225	740	3	∈	∈	PROPN
ejpam-6225	740	4	<	<	X
ejpam-6225	740	5	l1	l1	PROPN
ejpam-6225	740	6	,	,	PUNCT
ejpam-6225	740	7	l2	l2	NOUN
ejpam-6225	740	8	>	>	PUNCT
ejpam-6225	740	9	}	}	PUNCT
ejpam-6225	740	10	,	,	PUNCT
ejpam-6225	740	11	sr	sr	PROPN
ejpam-6225	740	12	<	<	X
ejpam-6225	740	13	l1,l2	l1,l2	PROPN
ejpam-6225	740	14	>	>	X
ejpam-6225	740	15	β+	β+	PUNCT
ejpam-6225	740	16	(	(	PUNCT
ejpam-6225	740	17	=)	=)	SYM
ejpam-6225	740	18	=	=	SYM
ejpam-6225	740	19	(	(	PUNCT
ejpam-6225	740	20	sr	sr	NOUN
ejpam-6225	740	21	<	<	X
ejpam-6225	740	22	l1,l2	l1,l2	PROPN
ejpam-6225	740	23	>	>	X
ejpam-6225	740	24	β+	β+	PUNCT
ejpam-6225	740	25	(=	(=	NOUN
ejpam-6225	740	26	c	c	NOUN
ejpam-6225	740	27	)	)	PUNCT
ejpam-6225	740	28	)	)	PUNCT
ejpam-6225	741	1	c	c	NOUN
ejpam-6225	741	2	,	,	PUNCT
ejpam-6225	741	3	sr	sr	PROPN
ejpam-6225	741	4	<	<	X
ejpam-6225	741	5	l1,l2	l1,l2	PROPN
ejpam-6225	741	6	>	>	X
ejpam-6225	741	7	β−	β−	PROPN
ejpam-6225	742	1	(	(	PUNCT
ejpam-6225	742	2	=)	=)	PROPN
ejpam-6225	742	3	=	=	SYM
ejpam-6225	742	4	⋃	⋃	NOUN
ejpam-6225	742	5	{	{	PUNCT
ejpam-6225	742	6	g(¬ς	g(¬ς	NOUN
ejpam-6225	742	7	)	)	PUNCT
ejpam-6225	742	8	,	,	PUNCT
ejpam-6225	742	9	¬ς	¬ς	NOUN
ejpam-6225	742	10	∈	∈	PROPN
ejpam-6225	742	11	ℵ	ℵ	NOUN
ejpam-6225	742	12	:	:	PUNCT
ejpam-6225	742	13	g(¬ς	g(¬ς	NOUN
ejpam-6225	742	14	)	)	PUNCT
ejpam-6225	742	15	∩	∩	NOUN
ejpam-6225	742	16	=	=	SYM
ejpam-6225	742	17	∈	∈	PROPN
ejpam-6225	742	18	<	<	X
ejpam-6225	742	19	l1	l1	PROPN
ejpam-6225	742	20	,	,	PUNCT
ejpam-6225	742	21	l2	l2	NOUN
ejpam-6225	742	22	>	>	PUNCT
ejpam-6225	742	23	}	}	PUNCT
ejpam-6225	742	24	,	,	PUNCT
ejpam-6225	742	25	sr	sr	PROPN
ejpam-6225	742	26	<	<	X
ejpam-6225	742	27	l1,l2	l1,l2	PROPN
ejpam-6225	742	28	>	>	X
ejpam-6225	742	29	β−	β−	PROPN
ejpam-6225	743	1	(	(	PUNCT
ejpam-6225	743	2	=)	=)	SYM
ejpam-6225	743	3	=	=	PRON
ejpam-6225	743	4	(	(	PUNCT
ejpam-6225	743	5	sr	sr	PROPN
ejpam-6225	743	6	<	<	X
ejpam-6225	743	7	l1,l2	l1,l2	PROPN
ejpam-6225	743	8	>	>	X
ejpam-6225	743	9	β−	β−	PUNCT
ejpam-6225	743	10	(=	(=	NOUN
ejpam-6225	743	11	c	c	NOUN
ejpam-6225	743	12	)	)	PUNCT
ejpam-6225	743	13	)	)	PUNCT
ejpam-6225	744	1	c	c	NOUN
ejpam-6225	744	2			NOUN
ejpam-6225	744	3	are	be	AUX
ejpam-6225	744	4	called	call	VERB
ejpam-6225	744	5	the	the	DET
ejpam-6225	744	6	approximations	approximation	NOUN
ejpam-6225	744	7	of	of	ADP
ejpam-6225	744	8	=	=	PUNCT
ejpam-6225	744	9	and	and	CCONJ
ejpam-6225	744	10	are	be	AUX
ejpam-6225	744	11	considered	consider	VERB
ejpam-6225	744	12	to	to	PART
ejpam-6225	744	13	be	be	AUX
ejpam-6225	744	14	bi	bi	ADJ
ejpam-6225	744	15	-	-	ADJ
ejpam-6225	744	16	ideal	ideal	ADJ
ejpam-6225	744	17	soft	soft	ADJ
ejpam-6225	744	18	β	β	X
ejpam-6225	744	19	<	<	X
ejpam-6225	744	20	l1,l2>-lower	l1,l2>-lower	NOUN
ejpam-6225	744	21	positive	positive	ADJ
ejpam-6225	744	22	,	,	PUNCT
ejpam-6225	744	23	bi	bi	ADJ
ejpam-6225	744	24	-	-	ADJ
ejpam-6225	744	25	ideal	ideal	ADJ
ejpam-6225	744	26	soft	soft	ADJ
ejpam-6225	744	27	β	β	X
ejpam-6225	744	28	<	<	X
ejpam-6225	744	29	l1,l2	l1,l2	PROPN
ejpam-6225	744	30	>	>	X
ejpam-6225	744	31	upper	upper	ADJ
ejpam-6225	744	32	positive	positive	ADJ
ejpam-6225	744	33	,	,	PUNCT
ejpam-6225	744	34	bi	bi	ADJ
ejpam-6225	744	35	-	-	ADJ
ejpam-6225	744	36	ideal	ideal	ADJ
ejpam-6225	744	37	soft	soft	ADJ
ejpam-6225	744	38	β	β	X
ejpam-6225	744	39	<	<	X
ejpam-6225	744	40	l1,l2>-upper	l1,l2>-upper	NOUN
ejpam-6225	744	41	negative	negative	ADJ
ejpam-6225	744	42	,	,	PUNCT
ejpam-6225	744	43	and	and	CCONJ
ejpam-6225	744	44	bi	bi	ADJ
ejpam-6225	744	45	-	-	ADJ
ejpam-6225	744	46	ideal	ideal	ADJ
ejpam-6225	744	47	soft	soft	ADJ
ejpam-6225	744	48	βl	βl	NOUN
ejpam-6225	744	49	-lower	-lower	NOUN
ejpam-6225	744	50	negative	negative	ADJ
ejpam-6225	744	51	,	,	PUNCT
ejpam-6225	744	52	respectively	respectively	ADV
ejpam-6225	744	53	.	.	PUNCT
ejpam-6225	745	1	moreover	moreover	ADV
ejpam-6225	745	2	,	,	PUNCT
ejpam-6225	745	3	the	the	DET
ejpam-6225	745	4	ordered	order	VERB
ejpam-6225	745	5	pairs	pair	NOUN
ejpam-6225	745	6	are	be	AUX
ejpam-6225	745	7	given	give	VERB
ejpam-6225	745	8	as	as	ADP
ejpam-6225	745	9	psr	psr	PROPN
ejpam-6225	745	10	<	<	X
ejpam-6225	745	11	l1,l2	l1,l2	PROPN
ejpam-6225	745	12	>	>	X
ejpam-6225	745	13	β	β	X
ejpam-6225	745	14	(	(	PUNCT
ejpam-6225	745	15	=)	=)	PROPN
ejpam-6225	745	16	=	=	SYM
ejpam-6225	745	17	(	(	PUNCT
ejpam-6225	745	18	sr	sr	NOUN
ejpam-6225	745	19	<	<	X
ejpam-6225	745	20	l1,l2	l1,l2	PROPN
ejpam-6225	745	21	>	>	X
ejpam-6225	745	22	β+	β+	PUNCT
ejpam-6225	745	23	(=	(=	NOUN
ejpam-6225	745	24	)	)	PUNCT
ejpam-6225	745	25	,	,	PUNCT
ejpam-6225	745	26	sr	sr	PROPN
ejpam-6225	745	27	<	<	X
ejpam-6225	745	28	l1,l2	l1,l2	PROPN
ejpam-6225	745	29	>	>	X
ejpam-6225	745	30	β−	β−	PROPN
ejpam-6225	745	31	(	(	PUNCT
ejpam-6225	745	32	=)	=)	PROPN
ejpam-6225	745	33	)	)	PUNCT
ejpam-6225	745	34	psr	psr	PROPN
ejpam-6225	745	35	<	<	X
ejpam-6225	745	36	l1,l2	l1,l2	PROPN
ejpam-6225	745	37	>	>	X
ejpam-6225	745	38	β	β	X
ejpam-6225	745	39	(	(	PUNCT
ejpam-6225	745	40	=)	=)	PROPN
ejpam-6225	745	41	=	=	SYM
ejpam-6225	745	42	(	(	PUNCT
ejpam-6225	745	43	sr	sr	PROPN
ejpam-6225	745	44	<	<	X
ejpam-6225	745	45	l1,l2	l1,l2	PROPN
ejpam-6225	745	46	>	>	X
ejpam-6225	745	47	β+	β+	PUNCT
ejpam-6225	745	48	(=	(=	NOUN
ejpam-6225	745	49	)	)	PUNCT
ejpam-6225	745	50	,	,	PUNCT
ejpam-6225	745	51	sr	sr	PROPN
ejpam-6225	745	52	<	<	X
ejpam-6225	745	53	l1,l2	l1,l2	PROPN
ejpam-6225	745	54	>	>	X
ejpam-6225	745	55	β−	β−	PROPN
ejpam-6225	746	1	(	(	PUNCT
ejpam-6225	746	2	=)	=)	INTJ
ejpam-6225	746	3	)	)	PUNCT
ejpam-6225	746	4			NOUN
ejpam-6225	746	5	are	be	AUX
ejpam-6225	746	6	called	call	VERB
ejpam-6225	746	7	the	the	DET
ejpam-6225	746	8	bi	bi	ADJ
ejpam-6225	746	9	-	-	ADJ
ejpam-6225	746	10	ideal	ideal	ADJ
ejpam-6225	746	11	bipolar	bipolar	ADJ
ejpam-6225	746	12	sas	sa	NOUN
ejpam-6225	746	13	of	of	ADP
ejpam-6225	746	14	=	=	PUNCT
ejpam-6225	746	15	with	with	ADP
ejpam-6225	746	16	respect	respect	NOUN
ejpam-6225	746	17	to	to	ADP
ejpam-6225	746	18	the	the	DET
ejpam-6225	746	19	bi	bi	ADJ
ejpam-6225	746	20	-	-	ADJ
ejpam-6225	746	21	ibsa	ibsa	NOUN
ejpam-6225	746	22	-	-	PUNCT
ejpam-6225	746	23	space	space	NOUN
ejpam-6225	746	24	.	.	PUNCT
ejpam-6225	747	1	remark	remark	VERB
ejpam-6225	747	2	5.1	5.1	NUM
ejpam-6225	747	3	.	.	PUNCT
ejpam-6225	748	1	the	the	DET
ejpam-6225	748	2	bi	bi	ADJ
ejpam-6225	748	3	-	-	ADJ
ejpam-6225	748	4	ideal	ideal	ADJ
ejpam-6225	748	5	soft	soft	ADJ
ejpam-6225	748	6	β	β	X
ejpam-6225	748	7	<	<	X
ejpam-6225	748	8	l1,l2>-lower	l1,l2>-lower	X
ejpam-6225	748	9	positive	positive	ADJ
ejpam-6225	748	10	and	and	CCONJ
ejpam-6225	748	11	nas	nas	PROPN
ejpam-6225	748	12	and	and	CCONJ
ejpam-6225	748	13	the	the	DET
ejpam-6225	748	14	bi	bi	ADJ
ejpam-6225	748	15	-	-	ADJ
ejpam-6225	748	16	ideal	ideal	ADJ
ejpam-6225	748	17	soft	soft	ADJ
ejpam-6225	748	18	β	β	X
ejpam-6225	748	19	<	<	X
ejpam-6225	748	20	l1,l2	l1,l2	PROPN
ejpam-6225	748	21	>	>	SYM
ejpam-6225	748	22	upper	upper	ADJ
ejpam-6225	748	23	positive	positive	NOUN
ejpam-6225	748	24	and	and	CCONJ
ejpam-6225	748	25	nas	nas	PROPN
ejpam-6225	748	26	5.1	5.1	NUM
ejpam-6225	748	27	will	will	AUX
ejpam-6225	748	28	coincide	coincide	VERB
ejpam-6225	748	29	with	with	ADP
ejpam-6225	748	30	the	the	DET
ejpam-6225	748	31	corresponding	correspond	VERB
ejpam-6225	748	32	approximations	approximation	NOUN
ejpam-6225	748	33	given	give	VERB
ejpam-6225	748	34	in	in	ADP
ejpam-6225	748	35	definition	definition	NOUN
ejpam-6225	748	36	3.1	3.1	NUM
ejpam-6225	748	37	if	if	SCONJ
ejpam-6225	748	38	l1	l1	PROPN
ejpam-6225	748	39	=	=	PUNCT
ejpam-6225	748	40	l2	l2	PROPN
ejpam-6225	748	41	.	.	PUNCT
ejpam-6225	749	1	also	also	ADV
ejpam-6225	749	2	,	,	PUNCT
ejpam-6225	749	3	the	the	DET
ejpam-6225	749	4	fulfilled	fulfil	VERB
ejpam-6225	749	5	properties	property	NOUN
ejpam-6225	749	6	of	of	ADP
ejpam-6225	749	7	the	the	DET
ejpam-6225	749	8	recent	recent	ADJ
ejpam-6225	749	9	bi	bi	ADJ
ejpam-6225	749	10	-	-	ADJ
ejpam-6225	749	11	ideal	ideal	ADJ
ejpam-6225	749	12	bipolar	bipolar	ADJ
ejpam-6225	749	13	sas	sa	NOUN
ejpam-6225	749	14	in	in	ADP
ejpam-6225	749	15	definition	definition	NOUN
ejpam-6225	749	16	5.1	5.1	NUM
ejpam-6225	749	17	are	be	AUX
ejpam-6225	749	18	those	those	PRON
ejpam-6225	749	19	given	give	VERB
ejpam-6225	749	20	in	in	ADP
ejpam-6225	749	21	theorems	theorem	NOUN
ejpam-6225	749	22	3.2	3.2	NUM
ejpam-6225	749	23	and	and	CCONJ
ejpam-6225	749	24	3.3	3.3	NUM
ejpam-6225	749	25	.	.	PUNCT
ejpam-6225	750	1	definition	definition	NOUN
ejpam-6225	750	2	5.2	5.2	NUM
ejpam-6225	750	3	.	.	PUNCT
ejpam-6225	751	1	let	let	VERB
ejpam-6225	751	2	b	b	NOUN
ejpam-6225	751	3	=	=	SYM
ejpam-6225	751	4	(	(	PUNCT
ejpam-6225	751	5	f	f	X
ejpam-6225	751	6	,	,	PUNCT
ejpam-6225	751	7	g	g	NOUN
ejpam-6225	751	8	:	:	PUNCT
ejpam-6225	751	9	℘	℘	PROPN
ejpam-6225	751	10	)	)	PUNCT
ejpam-6225	751	11	∈	∈	PROPN
ejpam-6225	751	12	bssq	bssq	NOUN
ejpam-6225	751	13	and	and	CCONJ
ejpam-6225	751	14	l1	l1	PROPN
ejpam-6225	751	15	,	,	PUNCT
ejpam-6225	751	16	l2	l2	NOUN
ejpam-6225	751	17	be	be	AUX
ejpam-6225	751	18	two	two	NUM
ejpam-6225	751	19	ideals	ideal	NOUN
ejpam-6225	751	20	on	on	ADP
ejpam-6225	751	21	q	q	PROPN
ejpam-6225	751	22	and	and	CCONJ
ejpam-6225	751	23	β	β	X
ejpam-6225	751	24	<	<	X
ejpam-6225	751	25	l1,l2	l1,l2	PROPN
ejpam-6225	751	26	>	>	X
ejpam-6225	751	27	=	=	PUNCT
ejpam-6225	752	1	(	(	PUNCT
ejpam-6225	752	2	q	q	ADJ
ejpam-6225	752	3	,	,	PUNCT
ejpam-6225	752	4	(	(	PUNCT
ejpam-6225	752	5	f	f	X
ejpam-6225	752	6	,	,	PUNCT
ejpam-6225	752	7	g	g	NOUN
ejpam-6225	752	8	:	:	PUNCT
ejpam-6225	752	9	℘	℘	PROPN
ejpam-6225	752	10	)	)	PUNCT
ejpam-6225	752	11	,	,	PUNCT
ejpam-6225	752	12	l1	l1	PROPN
ejpam-6225	752	13	,	,	PUNCT
ejpam-6225	752	14	l2	l2	NOUN
ejpam-6225	752	15	)	)	PUNCT
ejpam-6225	752	16	is	be	AUX
ejpam-6225	752	17	the	the	DET
ejpam-6225	752	18	corresponding	corresponding	ADJ
ejpam-6225	752	19	bi	bi	ADJ
ejpam-6225	752	20	-	-	ADJ
ejpam-6225	752	21	ibsa	ibsa	NOUN
ejpam-6225	752	22	-	-	PUNCT
ejpam-6225	752	23	space	space	NOUN
ejpam-6225	752	24	.	.	PUNCT
ejpam-6225	753	1	based	base	VERB
ejpam-6225	753	2	on	on	ADP
ejpam-6225	753	3	β	β	X
ejpam-6225	753	4	<	<	X
ejpam-6225	753	5	l1,l2	l1,l2	PROPN
ejpam-6225	753	6	>	>	X
ejpam-6225	753	7	,	,	PUNCT
ejpam-6225	753	8	the	the	DET
ejpam-6225	753	9	following	follow	VERB
ejpam-6225	753	10	operators	operator	NOUN
ejpam-6225	753	11	are	be	AUX
ejpam-6225	753	12	defined	define	VERB
ejpam-6225	753	13	for	for	ADP
ejpam-6225	753	14	any	any	DET
ejpam-6225	753	15	=	=	SYM
ejpam-6225	753	16	⊆	⊆	NUM
ejpam-6225	753	17	q	q	NOUN
ejpam-6225	753	18	:	:	PUNCT
ejpam-6225	753	19	∗	∗	NOUN
ejpam-6225	753	20	−	−	PROPN
ejpam-6225	754	1	sr	sr	PROPN
ejpam-6225	754	2	<	<	X
ejpam-6225	754	3	l1,l2	l1,l2	PROPN
ejpam-6225	754	4	>	>	X
ejpam-6225	754	5	β+	β+	PUNCT
ejpam-6225	754	6	(	(	PUNCT
ejpam-6225	754	7	=)	=)	SYM
ejpam-6225	754	8	=	=	SYM
ejpam-6225	754	9	=	=	NOUN
ejpam-6225	754	10	∩	∩	NOUN
ejpam-6225	754	11	sr	sr	PROPN
ejpam-6225	754	12	<	<	X
ejpam-6225	754	13	l1,l2	l1,l2	PROPN
ejpam-6225	754	14	>	>	X
ejpam-6225	754	15	β+	β+	PUNCT
ejpam-6225	754	16	(	(	PUNCT
ejpam-6225	754	17	=)	=)	PROPN
ejpam-6225	754	18	,	,	PUNCT
ejpam-6225	754	19	∗	∗	NOUN
ejpam-6225	754	20	−	−	PROPN
ejpam-6225	754	21	sr	sr	PROPN
ejpam-6225	754	22	<	<	X
ejpam-6225	754	23	l1,l2	l1,l2	PROPN
ejpam-6225	754	24	>	>	X
ejpam-6225	754	25	β+	β+	PUNCT
ejpam-6225	754	26	(	(	PUNCT
ejpam-6225	754	27	=)	=)	SYM
ejpam-6225	754	28	=	=	SYM
ejpam-6225	754	29	=	=	NOUN
ejpam-6225	754	30	∪	∪	X
ejpam-6225	754	31	sr	sr	PROPN
ejpam-6225	754	32	<	<	X
ejpam-6225	754	33	l1,l2	l1,l2	PROPN
ejpam-6225	754	34	>	>	X
ejpam-6225	754	35	β+	β+	PUNCT
ejpam-6225	754	36	(	(	PUNCT
ejpam-6225	754	37	=)	=)	PROPN
ejpam-6225	754	38	,	,	PUNCT
ejpam-6225	754	39	∗	∗	NOUN
ejpam-6225	754	40	−	−	PROPN
ejpam-6225	754	41	sr	sr	PROPN
ejpam-6225	754	42	<	<	X
ejpam-6225	754	43	l1,l2	l1,l2	PROPN
ejpam-6225	754	44	>	>	X
ejpam-6225	754	45	β−	β−	PROPN
ejpam-6225	755	1	(	(	PUNCT
ejpam-6225	755	2	=)	=)	PUNCT
ejpam-6225	755	3	=	=	SYM
ejpam-6225	755	4	=	=	NOUN
ejpam-6225	755	5	c	c	PROPN
ejpam-6225	755	6	∩	∩	X
ejpam-6225	755	7	sr	sr	PROPN
ejpam-6225	755	8	<	<	X
ejpam-6225	755	9	l1,l2	l1,l2	PROPN
ejpam-6225	755	10	>	>	X
ejpam-6225	755	11	β−	β−	PROPN
ejpam-6225	756	1	(	(	PUNCT
ejpam-6225	756	2	=)	=)	PROPN
ejpam-6225	756	3	,	,	PUNCT
ejpam-6225	756	4	∗	∗	NOUN
ejpam-6225	756	5	−	−	PROPN
ejpam-6225	757	1	sr	sr	PROPN
ejpam-6225	757	2	<	<	X
ejpam-6225	757	3	l1,l2	l1,l2	PROPN
ejpam-6225	757	4	>	>	X
ejpam-6225	757	5	β−	β−	PROPN
ejpam-6225	758	1	(	(	PUNCT
ejpam-6225	758	2	=)	=)	PUNCT
ejpam-6225	758	3	=	=	SYM
ejpam-6225	759	1	=	=	NOUN
ejpam-6225	759	2	c	c	PROPN
ejpam-6225	759	3	∪	∪	VERB
ejpam-6225	759	4	sr	sr	PROPN
ejpam-6225	759	5	<	<	PROPN
ejpam-6225	759	6	l1,l2	l1,l2	PROPN
ejpam-6225	759	7	>	>	X
ejpam-6225	759	8	β−	β−	PROPN
ejpam-6225	760	1	(	(	PUNCT
ejpam-6225	760	2	=)	=)	PROPN
ejpam-6225	760	3			NOUN
ejpam-6225	760	4	are	be	AUX
ejpam-6225	760	5	called	call	VERB
ejpam-6225	760	6	the	the	DET
ejpam-6225	760	7	approximations	approximation	NOUN
ejpam-6225	760	8	of	of	ADP
ejpam-6225	760	9	=	=	PUNCT
ejpam-6225	760	10	and	and	CCONJ
ejpam-6225	760	11	are	be	AUX
ejpam-6225	760	12	considered	consider	VERB
ejpam-6225	760	13	to	to	PART
ejpam-6225	760	14	be	be	AUX
ejpam-6225	760	15	∗−bi	∗−bi	NOUN
ejpam-6225	760	16	-	-	PUNCT
ejpam-6225	760	17	ideal	ideal	NOUN
ejpam-6225	760	18	soft	soft	ADJ
ejpam-6225	760	19	β	β	X
ejpam-6225	760	20	<	<	X
ejpam-6225	760	21	l1,l2>-lower	l1,l2>-lower	NOUN
ejpam-6225	760	22	positive	positive	ADJ
ejpam-6225	760	23	,	,	PUNCT
ejpam-6225	760	24	∗−bi	∗−bi	NOUN
ejpam-6225	760	25	-	-	PUNCT
ejpam-6225	760	26	ideal	ideal	NOUN
ejpam-6225	760	27	soft	soft	ADJ
ejpam-6225	760	28	β	β	X
ejpam-6225	760	29	<	<	X
ejpam-6225	760	30	l1,l2	l1,l2	PROPN
ejpam-6225	760	31	>	>	X
ejpam-6225	760	32	upper	upper	ADJ
ejpam-6225	760	33	positive	positive	NOUN
ejpam-6225	760	34	,	,	PUNCT
ejpam-6225	760	35	∗−bi	∗−bi	NOUN
ejpam-6225	760	36	-	-	PUNCT
ejpam-6225	760	37	ideal	ideal	NOUN
ejpam-6225	760	38	soft	soft	ADJ
ejpam-6225	760	39	β	β	NOUN
ejpam-6225	760	40	<	<	X
ejpam-6225	760	41	l1,l2>-upper	l1,l2>-upper	NOUN
ejpam-6225	760	42	negative	negative	ADJ
ejpam-6225	760	43	,	,	PUNCT
ejpam-6225	760	44	and	and	CCONJ
ejpam-6225	760	45	∗−bi	∗−bi	NOUN
ejpam-6225	760	46	-	-	PUNCT
ejpam-6225	760	47	ideal	ideal	NOUN
ejpam-6225	760	48	soft	soft	ADJ
ejpam-6225	760	49	β	β	X
ejpam-6225	760	50	<	<	X
ejpam-6225	760	51	l1,l2>-lower	l1,l2>-lower	NOUN
ejpam-6225	760	52	negative	negative	ADJ
ejpam-6225	760	53	,	,	PUNCT
ejpam-6225	760	54	respectively	respectively	ADV
ejpam-6225	760	55	.	.	PUNCT
ejpam-6225	761	1	moreover	moreover	ADV
ejpam-6225	761	2	,	,	PUNCT
ejpam-6225	761	3	the	the	DET
ejpam-6225	761	4	ordered	order	VERB
ejpam-6225	761	5	pairs	pair	NOUN
ejpam-6225	761	6	are	be	AUX
ejpam-6225	761	7	given	give	VERB
ejpam-6225	761	8	as	as	ADP
ejpam-6225	761	9	∗	∗	NOUN
ejpam-6225	761	10	−	−	PROPN
ejpam-6225	761	11	psr	psr	PROPN
ejpam-6225	761	12	<	<	X
ejpam-6225	761	13	l1,l2	l1,l2	PROPN
ejpam-6225	761	14	>	>	X
ejpam-6225	761	15	β	β	X
ejpam-6225	761	16	(	(	PUNCT
ejpam-6225	761	17	=)	=)	PROPN
ejpam-6225	761	18	=	=	SYM
ejpam-6225	761	19	(	(	PUNCT
ejpam-6225	761	20	∗	∗	NOUN
ejpam-6225	761	21	−	−	PROPN
ejpam-6225	761	22	sr	sr	PROPN
ejpam-6225	761	23	<	<	X
ejpam-6225	761	24	l1,l2	l1,l2	PROPN
ejpam-6225	761	25	>	>	X
ejpam-6225	761	26	β+	β+	PUNCT
ejpam-6225	761	27	(	(	PUNCT
ejpam-6225	761	28	=)	=)	PROPN
ejpam-6225	761	29	,	,	PUNCT
ejpam-6225	761	30	∗	∗	NOUN
ejpam-6225	761	31	−	−	PROPN
ejpam-6225	762	1	sr	sr	PROPN
ejpam-6225	762	2	<	<	X
ejpam-6225	762	3	l1,l2	l1,l2	PROPN
ejpam-6225	762	4	>	>	X
ejpam-6225	762	5	β−	β−	PROPN
ejpam-6225	762	6	(	(	PUNCT
ejpam-6225	762	7	=)	=)	PROPN
ejpam-6225	762	8	)	)	PUNCT
ejpam-6225	762	9	∗	∗	NOUN
ejpam-6225	762	10	−	−	PROPN
ejpam-6225	762	11	psr	psr	PROPN
ejpam-6225	762	12	<	<	X
ejpam-6225	762	13	l1,l2	l1,l2	PROPN
ejpam-6225	762	14	>	>	X
ejpam-6225	762	15	β	β	X
ejpam-6225	762	16	(	(	PUNCT
ejpam-6225	762	17	=)	=)	PROPN
ejpam-6225	762	18	=	=	SYM
ejpam-6225	762	19	(	(	PUNCT
ejpam-6225	762	20	∗	∗	NOUN
ejpam-6225	762	21	−	−	PROPN
ejpam-6225	762	22	sr	sr	PROPN
ejpam-6225	762	23	<	<	X
ejpam-6225	762	24	l1,l2	l1,l2	PROPN
ejpam-6225	762	25	>	>	X
ejpam-6225	762	26	β+	β+	PUNCT
ejpam-6225	762	27	(	(	PUNCT
ejpam-6225	762	28	=)	=)	PROPN
ejpam-6225	762	29	,	,	PUNCT
ejpam-6225	762	30	∗	∗	NOUN
ejpam-6225	762	31	−	−	PROPN
ejpam-6225	762	32	sr	sr	PROPN
ejpam-6225	762	33	<	<	X
ejpam-6225	762	34	l1,l2	l1,l2	PROPN
ejpam-6225	762	35	>	>	X
ejpam-6225	762	36	β−	β−	PROPN
ejpam-6225	763	1	(	(	PUNCT
ejpam-6225	763	2	=)	=)	INTJ
ejpam-6225	763	3	)	)	PUNCT
ejpam-6225	763	4			NOUN
ejpam-6225	763	5	are	be	AUX
ejpam-6225	763	6	called	call	VERB
ejpam-6225	763	7	the	the	DET
ejpam-6225	763	8	∗−bi	∗−bi	PROPN
ejpam-6225	763	9	-	-	PUNCT
ejpam-6225	763	10	ideal	ideal	ADJ
ejpam-6225	763	11	bipolar	bipolar	ADJ
ejpam-6225	763	12	sas	sa	NOUN
ejpam-6225	763	13	of	of	ADP
ejpam-6225	763	14	=	=	PUNCT
ejpam-6225	763	15	with	with	ADP
ejpam-6225	763	16	respect	respect	NOUN
ejpam-6225	763	17	to	to	ADP
ejpam-6225	763	18	the	the	DET
ejpam-6225	763	19	bi	bi	ADJ
ejpam-6225	763	20	-	-	ADJ
ejpam-6225	763	21	ibsa	ibsa	NOUN
ejpam-6225	763	22	-	-	PUNCT
ejpam-6225	763	23	space	space	NOUN
ejpam-6225	763	24	.	.	PUNCT
ejpam-6225	764	1	d.	d.	PROPN
ejpam-6225	764	2	shi	shi	PROPN
ejpam-6225	764	3	et	et	PROPN
ejpam-6225	764	4	al	al	PROPN
ejpam-6225	764	5	.	.	PUNCT
ejpam-6225	764	6	/	/	SYM
ejpam-6225	764	7	eur	eur	PROPN
ejpam-6225	764	8	.	.	PUNCT
ejpam-6225	765	1	j.	j.	PROPN
ejpam-6225	765	2	pure	pure	PROPN
ejpam-6225	765	3	appl	appl	PROPN
ejpam-6225	765	4	.	.	PROPN
ejpam-6225	765	5	math	math	PROPN
ejpam-6225	765	6	,	,	PUNCT
ejpam-6225	765	7	18	18	NUM
ejpam-6225	765	8	(	(	PUNCT
ejpam-6225	765	9	4	4	NUM
ejpam-6225	765	10	)	)	PUNCT
ejpam-6225	765	11	(	(	PUNCT
ejpam-6225	765	12	2025	2025	NUM
ejpam-6225	765	13	)	)	PUNCT
ejpam-6225	765	14	,	,	PUNCT
ejpam-6225	765	15	6225	6225	NUM
ejpam-6225	765	16	21	21	NUM
ejpam-6225	765	17	of	of	ADP
ejpam-6225	765	18	36	36	NUM
ejpam-6225	765	19	remark	remark	NOUN
ejpam-6225	765	20	5.2	5.2	NUM
ejpam-6225	765	21	.	.	PUNCT
ejpam-6225	766	1	the	the	DET
ejpam-6225	766	2	∗−bi	∗−bi	NOUN
ejpam-6225	766	3	-	-	PUNCT
ejpam-6225	766	4	ideal	ideal	NOUN
ejpam-6225	766	5	soft	soft	ADJ
ejpam-6225	766	6	β	β	X
ejpam-6225	766	7	<	<	X
ejpam-6225	766	8	l1,l2>-lower	l1,l2>-lower	X
ejpam-6225	766	9	positive	positive	ADJ
ejpam-6225	766	10	and	and	CCONJ
ejpam-6225	766	11	nas	nas	PROPN
ejpam-6225	766	12	and	and	CCONJ
ejpam-6225	766	13	the	the	DET
ejpam-6225	766	14	∗−bi	∗−bi	NOUN
ejpam-6225	766	15	-	-	PUNCT
ejpam-6225	766	16	ideal	ideal	NOUN
ejpam-6225	766	17	soft	soft	ADJ
ejpam-6225	766	18	β	β	NOUN
ejpam-6225	766	19	<	<	X
ejpam-6225	766	20	l1,l2>-upper	l1,l2>-upper	NOUN
ejpam-6225	766	21	positive	positive	ADJ
ejpam-6225	766	22	and	and	CCONJ
ejpam-6225	766	23	nas	nas	PROPN
ejpam-6225	766	24	5.2	5.2	NUM
ejpam-6225	766	25	will	will	AUX
ejpam-6225	766	26	coincide	coincide	VERB
ejpam-6225	766	27	with	with	ADP
ejpam-6225	766	28	the	the	DET
ejpam-6225	766	29	corresponding	correspond	VERB
ejpam-6225	766	30	approximations	approximation	NOUN
ejpam-6225	766	31	given	give	VERB
ejpam-6225	766	32	in	in	ADP
ejpam-6225	766	33	definition	definition	NOUN
ejpam-6225	766	34	4.1	4.1	NUM
ejpam-6225	766	35	if	if	SCONJ
ejpam-6225	766	36	l1	l1	PROPN
ejpam-6225	766	37	=	=	PUNCT
ejpam-6225	766	38	l2	l2	PROPN
ejpam-6225	766	39	.	.	PUNCT
ejpam-6225	767	1	also	also	ADV
ejpam-6225	767	2	,	,	PUNCT
ejpam-6225	767	3	the	the	DET
ejpam-6225	767	4	fulfilled	fulfil	VERB
ejpam-6225	767	5	properties	property	NOUN
ejpam-6225	767	6	of	of	ADP
ejpam-6225	767	7	the	the	DET
ejpam-6225	767	8	recent	recent	ADJ
ejpam-6225	767	9	∗−bi	∗−bi	NOUN
ejpam-6225	767	10	-	-	PUNCT
ejpam-6225	767	11	ideal	ideal	ADJ
ejpam-6225	767	12	bipolar	bipolar	ADJ
ejpam-6225	767	13	sas	sa	NOUN
ejpam-6225	767	14	in	in	ADP
ejpam-6225	767	15	definition	definition	NOUN
ejpam-6225	767	16	5.2	5.2	NUM
ejpam-6225	767	17	are	be	AUX
ejpam-6225	767	18	the	the	DET
ejpam-6225	767	19	same	same	ADJ
ejpam-6225	767	20	of	of	ADP
ejpam-6225	767	21	definition	definition	NOUN
ejpam-6225	767	22	4.1	4.1	NUM
ejpam-6225	767	23	.	.	PUNCT
ejpam-6225	768	1	definition	definition	NOUN
ejpam-6225	768	2	5.3	5.3	NUM
ejpam-6225	768	3	.	.	PUNCT
ejpam-6225	769	1	let	let	VERB
ejpam-6225	769	2	b	b	NOUN
ejpam-6225	769	3	=	=	SYM
ejpam-6225	769	4	(	(	PUNCT
ejpam-6225	769	5	f	f	X
ejpam-6225	769	6	,	,	PUNCT
ejpam-6225	769	7	g	g	NOUN
ejpam-6225	769	8	:	:	PUNCT
ejpam-6225	769	9	℘	℘	PROPN
ejpam-6225	769	10	)	)	PUNCT
ejpam-6225	769	11	∈	∈	PROPN
ejpam-6225	769	12	bssq	bssq	NOUN
ejpam-6225	769	13	and	and	CCONJ
ejpam-6225	769	14	l1	l1	PROPN
ejpam-6225	769	15	,	,	PUNCT
ejpam-6225	769	16	l2	l2	NOUN
ejpam-6225	769	17	be	be	AUX
ejpam-6225	769	18	two	two	NUM
ejpam-6225	769	19	ideals	ideal	NOUN
ejpam-6225	769	20	on	on	ADP
ejpam-6225	769	21	q	q	PROPN
ejpam-6225	769	22	and	and	CCONJ
ejpam-6225	769	23	β	β	X
ejpam-6225	769	24	<	<	X
ejpam-6225	769	25	l1,l2	l1,l2	PROPN
ejpam-6225	769	26	>	>	X
ejpam-6225	769	27	=	=	PUNCT
ejpam-6225	770	1	(	(	PUNCT
ejpam-6225	770	2	q	q	ADJ
ejpam-6225	770	3	,	,	PUNCT
ejpam-6225	770	4	(	(	PUNCT
ejpam-6225	770	5	f	f	X
ejpam-6225	770	6	,	,	PUNCT
ejpam-6225	770	7	g	g	NOUN
ejpam-6225	770	8	:	:	PUNCT
ejpam-6225	770	9	℘	℘	PROPN
ejpam-6225	770	10	)	)	PUNCT
ejpam-6225	770	11	,	,	PUNCT
ejpam-6225	770	12	l1	l1	PROPN
ejpam-6225	770	13	,	,	PUNCT
ejpam-6225	770	14	l2	l2	NOUN
ejpam-6225	770	15	)	)	PUNCT
ejpam-6225	770	16	is	be	AUX
ejpam-6225	770	17	the	the	DET
ejpam-6225	770	18	corresponding	corresponding	ADJ
ejpam-6225	770	19	bi	bi	ADJ
ejpam-6225	770	20	-	-	ADJ
ejpam-6225	770	21	ibsa	ibsa	NOUN
ejpam-6225	770	22	-	-	PUNCT
ejpam-6225	770	23	space	space	NOUN
ejpam-6225	770	24	.	.	PUNCT
ejpam-6225	771	1	we	we	PRON
ejpam-6225	771	2	the	the	DET
ejpam-6225	771	3	follwing	follwe	VERB
ejpam-6225	771	4	operators	operator	NOUN
ejpam-6225	771	5	:	:	PUNCT
ejpam-6225	771	6	(	(	PUNCT
ejpam-6225	771	7	1	1	X
ejpam-6225	771	8	)	)	PUNCT
ejpam-6225	771	9	∗	∗	NOUN
ejpam-6225	771	10	−	−	PROPN
ejpam-6225	772	1	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	772	2	β	β	NOUN
ejpam-6225	772	3	(	(	PUNCT
ejpam-6225	772	4	=)	=)	PROPN
ejpam-6225	772	5	=	=	NOUN
ejpam-6225	772	6	∗	∗	NOUN
ejpam-6225	772	7	−	−	PROPN
ejpam-6225	773	1	psrl1	psrl1	NOUN
ejpam-6225	773	2	β	β	X
ejpam-6225	773	3	(	(	PUNCT
ejpam-6225	773	4	=)	=)	PROPN
ejpam-6225	773	5	t	t	PROPN
ejpam-6225	773	6	∗	∗	NOUN
ejpam-6225	773	7	−	−	PROPN
ejpam-6225	773	8	psrl2	psrl2	NOUN
ejpam-6225	774	1	β	β	X
ejpam-6225	774	2	(	(	PUNCT
ejpam-6225	774	3	=)	=)	PROPN
ejpam-6225	774	4	;	;	PUNCT
ejpam-6225	774	5	(	(	PUNCT
ejpam-6225	774	6	2	2	X
ejpam-6225	774	7	)	)	PUNCT
ejpam-6225	774	8	∗	∗	NOUN
ejpam-6225	774	9	−	−	PROPN
ejpam-6225	774	10	psr	psr	PROPN
ejpam-6225	774	11	l1,l2	l1,l2	PROPN
ejpam-6225	774	12	β	β	PROPN
ejpam-6225	774	13	(	(	PUNCT
ejpam-6225	774	14	=)	=)	PROPN
ejpam-6225	774	15	=	=	NOUN
ejpam-6225	774	16	∗	∗	NOUN
ejpam-6225	774	17	−	−	PROPN
ejpam-6225	774	18	psr	psr	PROPN
ejpam-6225	774	19	l1	l1	PROPN
ejpam-6225	774	20	β	β	PROPN
ejpam-6225	774	21	(	(	PUNCT
ejpam-6225	774	22	=)	=)	PROPN
ejpam-6225	774	23	u	u	PROPN
ejpam-6225	774	24	∗	∗	NOUN
ejpam-6225	774	25	−	−	PROPN
ejpam-6225	774	26	psr	psr	PROPN
ejpam-6225	774	27	l2	l2	PROPN
ejpam-6225	774	28	β	β	X
ejpam-6225	774	29	(	(	PUNCT
ejpam-6225	774	30	=)	=)	PROPN
ejpam-6225	774	31	;	;	PUNCT
ejpam-6225	774	32	where	where	SCONJ
ejpam-6225	774	33	∗	∗	NOUN
ejpam-6225	774	34	−	−	PROPN
ejpam-6225	774	35	psrli	psrli	ADJ
ejpam-6225	774	36	β	β	X
ejpam-6225	774	37	(	(	PUNCT
ejpam-6225	774	38	=)	=)	PROPN
ejpam-6225	774	39	and	and	CCONJ
ejpam-6225	774	40	srli	srli	ADJ
ejpam-6225	774	41	(	(	PUNCT
ejpam-6225	774	42	=)	=)	INTJ
ejpam-6225	774	43	are	be	AUX
ejpam-6225	774	44	the	the	DET
ejpam-6225	774	45	ideal	ideal	ADJ
ejpam-6225	774	46	bipolar	bipolar	ADJ
ejpam-6225	774	47	soft	soft	ADJ
ejpam-6225	774	48	lower	lower	ADV
ejpam-6225	774	49	and	and	CCONJ
ejpam-6225	774	50	the	the	DET
ejpam-6225	774	51	uas	uas	NOUN
ejpam-6225	774	52	of	of	ADP
ejpam-6225	774	53	=	=	PUNCT
ejpam-6225	774	54	related	related	ADJ
ejpam-6225	774	55	to	to	ADP
ejpam-6225	774	56	li	li	PROPN
ejpam-6225	774	57	,	,	PUNCT
ejpam-6225	774	58	i	i	PRON
ejpam-6225	774	59	∈	∈	PROPN
ejpam-6225	774	60	{	{	PUNCT
ejpam-6225	774	61	1	1	NUM
ejpam-6225	774	62	,	,	PUNCT
ejpam-6225	774	63	2	2	NUM
ejpam-6225	774	64	}	}	PUNCT
ejpam-6225	774	65	as	as	ADP
ejpam-6225	774	66	in	in	ADP
ejpam-6225	774	67	definition	definition	NOUN
ejpam-6225	774	68	4.1	4.1	NUM
ejpam-6225	774	69	.	.	PUNCT
ejpam-6225	775	1	remark	remark	VERB
ejpam-6225	775	2	5.3	5.3	NUM
ejpam-6225	775	3	.	.	PUNCT
ejpam-6225	776	1	the	the	DET
ejpam-6225	776	2	ideal	ideal	ADJ
ejpam-6225	776	3	bipolar	bipolar	ADJ
ejpam-6225	776	4	soft	soft	ADJ
ejpam-6225	776	5	lower	lower	ADV
ejpam-6225	776	6	and	and	CCONJ
ejpam-6225	776	7	the	the	DET
ejpam-6225	776	8	uas	uas	NOUN
ejpam-6225	776	9	given	give	VERB
ejpam-6225	776	10	in	in	ADP
ejpam-6225	776	11	definition	definition	NOUN
ejpam-6225	776	12	5.3	5.3	NUM
ejpam-6225	776	13	will	will	AUX
ejpam-6225	776	14	coincide	coincide	VERB
ejpam-6225	776	15	with	with	ADP
ejpam-6225	776	16	the	the	DET
ejpam-6225	776	17	approximations	approximation	NOUN
ejpam-6225	776	18	given	give	VERB
ejpam-6225	776	19	in	in	ADP
ejpam-6225	776	20	definition	definition	NOUN
ejpam-6225	776	21	4.1	4.1	NUM
ejpam-6225	776	22	if	if	SCONJ
ejpam-6225	776	23	l1	l1	PROPN
ejpam-6225	776	24	=	=	PUNCT
ejpam-6225	776	25	l2	l2	PROPN
ejpam-6225	776	26	.	.	PUNCT
ejpam-6225	777	1	proposition	proposition	NOUN
ejpam-6225	777	2	5.1	5.1	NUM
ejpam-6225	777	3	.	.	PUNCT
ejpam-6225	778	1	let	let	VERB
ejpam-6225	778	2	b	b	NOUN
ejpam-6225	778	3	=	=	SYM
ejpam-6225	778	4	(	(	PUNCT
ejpam-6225	778	5	f	f	X
ejpam-6225	778	6	,	,	PUNCT
ejpam-6225	778	7	g	g	NOUN
ejpam-6225	778	8	:	:	PUNCT
ejpam-6225	778	9	℘	℘	PROPN
ejpam-6225	778	10	)	)	PUNCT
ejpam-6225	778	11	∈	∈	PROPN
ejpam-6225	778	12	bssq	bssq	NOUN
ejpam-6225	778	13	and	and	CCONJ
ejpam-6225	778	14	l1	l1	PROPN
ejpam-6225	778	15	,	,	PUNCT
ejpam-6225	778	16	l2	l2	NOUN
ejpam-6225	778	17	be	be	AUX
ejpam-6225	778	18	two	two	NUM
ejpam-6225	778	19	ideals	ideal	NOUN
ejpam-6225	778	20	on	on	ADP
ejpam-6225	778	21	q	q	PROPN
ejpam-6225	778	22	and	and	CCONJ
ejpam-6225	778	23	β	β	X
ejpam-6225	778	24	<	<	X
ejpam-6225	778	25	l1,l2	l1,l2	PROPN
ejpam-6225	778	26	>	>	X
ejpam-6225	778	27	=	=	PUNCT
ejpam-6225	779	1	(	(	PUNCT
ejpam-6225	779	2	q	q	ADJ
ejpam-6225	779	3	,	,	PUNCT
ejpam-6225	779	4	(	(	PUNCT
ejpam-6225	779	5	f	f	X
ejpam-6225	779	6	,	,	PUNCT
ejpam-6225	779	7	g	g	NOUN
ejpam-6225	779	8	:	:	PUNCT
ejpam-6225	779	9	℘	℘	PROPN
ejpam-6225	779	10	)	)	PUNCT
ejpam-6225	779	11	,	,	PUNCT
ejpam-6225	779	12	l1	l1	PROPN
ejpam-6225	779	13	,	,	PUNCT
ejpam-6225	779	14	l2	l2	NOUN
ejpam-6225	779	15	)	)	PUNCT
ejpam-6225	779	16	is	be	AUX
ejpam-6225	779	17	the	the	DET
ejpam-6225	779	18	corresponding	corresponding	ADJ
ejpam-6225	779	19	bi	bi	ADJ
ejpam-6225	779	20	-	-	ADJ
ejpam-6225	779	21	ibsa	ibsa	NOUN
ejpam-6225	779	22	-	-	PUNCT
ejpam-6225	779	23	space	space	NOUN
ejpam-6225	779	24	.	.	PUNCT
ejpam-6225	780	1	then	then	ADV
ejpam-6225	780	2	,	,	PUNCT
ejpam-6225	780	3	these	these	DET
ejpam-6225	780	4	properties	property	NOUN
ejpam-6225	780	5	are	be	AUX
ejpam-6225	780	6	fulfilled	fulfil	VERB
ejpam-6225	780	7	.	.	PUNCT
ejpam-6225	781	1	(	(	PUNCT
ejpam-6225	781	2	1	1	X
ejpam-6225	781	3	)	)	PUNCT
ejpam-6225	781	4	∗	∗	NOUN
ejpam-6225	781	5	−	−	PROPN
ejpam-6225	781	6	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	781	7	β	β	X
ejpam-6225	781	8	(	(	PUNCT
ejpam-6225	781	9	∅	∅	NOUN
ejpam-6225	781	10	)	)	PUNCT
ejpam-6225	781	11	=	=	SYM
ejpam-6225	781	12	(	(	PUNCT
ejpam-6225	781	13	∅	∅	NOUN
ejpam-6225	781	14	,	,	PUNCT
ejpam-6225	781	15	q	q	NOUN
ejpam-6225	781	16	)	)	PUNCT
ejpam-6225	781	17	and	and	CCONJ
ejpam-6225	781	18	∗	∗	NOUN
ejpam-6225	781	19	−	−	PROPN
ejpam-6225	781	20	psr	psr	PROPN
ejpam-6225	782	1	l1,l2	l1,l2	PROPN
ejpam-6225	782	2	β	β	X
ejpam-6225	782	3	(	(	PUNCT
ejpam-6225	782	4	q	q	X
ejpam-6225	782	5	)	)	PUNCT
ejpam-6225	782	6	=	=	SYM
ejpam-6225	782	7	(	(	PUNCT
ejpam-6225	782	8	q	q	ADJ
ejpam-6225	782	9	,	,	PUNCT
ejpam-6225	782	10	∅	∅	NOUN
ejpam-6225	782	11	)	)	PUNCT
ejpam-6225	782	12	;	;	PUNCT
ejpam-6225	782	13	(	(	PUNCT
ejpam-6225	782	14	2	2	X
ejpam-6225	782	15	)	)	PUNCT
ejpam-6225	782	16	∗	∗	NOUN
ejpam-6225	782	17	−	−	PROPN
ejpam-6225	782	18	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	782	19	β	β	NOUN
ejpam-6225	782	20	(	(	PUNCT
ejpam-6225	782	21	=)	=)	PROPN
ejpam-6225	782	22	v	v	X
ejpam-6225	782	23	(=	(=	NOUN
ejpam-6225	782	24	,	,	PUNCT
ejpam-6225	782	25	=	=	NOUN
ejpam-6225	782	26	c	c	X
ejpam-6225	782	27	)	)	PUNCT
ejpam-6225	782	28	v	v	NOUN
ejpam-6225	782	29	∗	∗	NOUN
ejpam-6225	782	30	−	−	PROPN
ejpam-6225	782	31	psr	psr	PROPN
ejpam-6225	782	32	l1,l2	l1,l2	PROPN
ejpam-6225	782	33	β	β	PROPN
ejpam-6225	782	34	(	(	PUNCT
ejpam-6225	782	35	=)	=)	PROPN
ejpam-6225	782	36	;	;	PUNCT
ejpam-6225	782	37	(	(	PUNCT
ejpam-6225	782	38	3	3	X
ejpam-6225	782	39	)	)	PUNCT
ejpam-6225	782	40	∗	∗	NOUN
ejpam-6225	782	41	−	−	PROPN
ejpam-6225	782	42	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	782	43	β	β	NOUN
ejpam-6225	783	1	[	[	X
ejpam-6225	783	2	∗	∗	X
ejpam-6225	783	3	−	−	PROPN
ejpam-6225	783	4	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	783	5	β	β	NOUN
ejpam-6225	783	6	(	(	PUNCT
ejpam-6225	783	7	=)	=)	PROPN
ejpam-6225	783	8	]	]	X
ejpam-6225	783	9	=	=	SYM
ejpam-6225	783	10	∗	∗	NOUN
ejpam-6225	783	11	−	−	PROPN
ejpam-6225	783	12	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	783	13	β	β	NOUN
ejpam-6225	783	14	(	(	PUNCT
ejpam-6225	783	15	=)	=)	PROPN
ejpam-6225	783	16	;	;	PUNCT
ejpam-6225	783	17	(	(	PUNCT
ejpam-6225	783	18	4	4	X
ejpam-6225	783	19	)	)	PUNCT
ejpam-6225	783	20	∗	∗	NOUN
ejpam-6225	783	21	−	−	PROPN
ejpam-6225	783	22	psr	psr	PROPN
ejpam-6225	783	23	l1,l2	l1,l2	PROPN
ejpam-6225	783	24	β	β	PROPN
ejpam-6225	784	1	[	[	X
ejpam-6225	784	2	∗	∗	X
ejpam-6225	784	3	−	−	PROPN
ejpam-6225	784	4	psr	psr	PROPN
ejpam-6225	784	5	l1,l2	l1,l2	PROPN
ejpam-6225	784	6	β	β	X
ejpam-6225	784	7	(	(	PUNCT
ejpam-6225	784	8	=)	=)	PROPN
ejpam-6225	784	9	]	]	X
ejpam-6225	784	10	=	=	SYM
ejpam-6225	784	11	∗	∗	NOUN
ejpam-6225	784	12	−	−	PROPN
ejpam-6225	784	13	psr	psr	PROPN
ejpam-6225	784	14	l1,l2	l1,l2	PROPN
ejpam-6225	784	15	β	β	PROPN
ejpam-6225	784	16	(	(	PUNCT
ejpam-6225	784	17	=)	=)	PROPN
ejpam-6225	784	18	;	;	PUNCT
ejpam-6225	784	19	(	(	PUNCT
ejpam-6225	784	20	5	5	X
ejpam-6225	784	21	)	)	PUNCT
ejpam-6225	784	22	∗	∗	NOUN
ejpam-6225	784	23	−	−	PROPN
ejpam-6225	784	24	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	784	25	β	β	NOUN
ejpam-6225	785	1	[	[	X
ejpam-6225	785	2	∗	∗	X
ejpam-6225	785	3	−	−	PROPN
ejpam-6225	785	4	psr	psr	PROPN
ejpam-6225	785	5	l1,l2	l1,l2	PROPN
ejpam-6225	785	6	β	β	PROPN
ejpam-6225	785	7	(	(	PUNCT
ejpam-6225	785	8	=)	=)	PROPN
ejpam-6225	785	9	]	]	X
ejpam-6225	785	10	v	v	ADP
ejpam-6225	785	11	∗	∗	NOUN
ejpam-6225	785	12	−	−	PROPN
ejpam-6225	785	13	psr	psr	PROPN
ejpam-6225	785	14	l1,l2	l1,l2	PROPN
ejpam-6225	785	15	β	β	PROPN
ejpam-6225	785	16	(	(	PUNCT
ejpam-6225	785	17	=)	=)	PROPN
ejpam-6225	785	18	;	;	PUNCT
ejpam-6225	785	19	(	(	PUNCT
ejpam-6225	785	20	6	6	X
ejpam-6225	785	21	)	)	PUNCT
ejpam-6225	785	22	∗	∗	NOUN
ejpam-6225	785	23	−	−	PROPN
ejpam-6225	785	24	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	785	25	β	β	NOUN
ejpam-6225	785	26	(	(	PUNCT
ejpam-6225	785	27	=)	=)	PROPN
ejpam-6225	785	28	v	v	ADP
ejpam-6225	785	29	∗	∗	NOUN
ejpam-6225	785	30	−	−	PROPN
ejpam-6225	785	31	psr	psr	PROPN
ejpam-6225	785	32	l1,l2	l1,l2	PROPN
ejpam-6225	785	33	β	β	PROPN
ejpam-6225	786	1	[	[	X
ejpam-6225	786	2	∗	∗	X
ejpam-6225	786	3	−	−	PROPN
ejpam-6225	786	4	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	786	5	β	β	NOUN
ejpam-6225	786	6	(	(	PUNCT
ejpam-6225	786	7	=)	=)	PROPN
ejpam-6225	786	8	]	]	X
ejpam-6225	786	9	;	;	PUNCT
ejpam-6225	786	10	(	(	PUNCT
ejpam-6225	786	11	7	7	X
ejpam-6225	786	12	)	)	PUNCT
ejpam-6225	786	13	∗	∗	NOUN
ejpam-6225	786	14	−	−	PROPN
ejpam-6225	786	15	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	786	16	β	β	NOUN
ejpam-6225	786	17	(=	(=	NOUN
ejpam-6225	786	18	c	c	X
ejpam-6225	786	19	)	)	PUNCT
ejpam-6225	787	1	=	=	NOUN
ejpam-6225	788	1	[	[	X
ejpam-6225	788	2	∗	∗	X
ejpam-6225	788	3	−	−	PROPN
ejpam-6225	788	4	psr	psr	PROPN
ejpam-6225	788	5	l1,l2	l1,l2	PROPN
ejpam-6225	788	6	β	β	X
ejpam-6225	788	7	(=	(=	NOUN
ejpam-6225	788	8	)	)	PUNCT
ejpam-6225	789	1	]	]	PUNCT
ejpam-6225	789	2	c	c	NOUN
ejpam-6225	789	3	and	and	CCONJ
ejpam-6225	789	4	∗	∗	NOUN
ejpam-6225	789	5	−	−	PROPN
ejpam-6225	789	6	psr	psr	PROPN
ejpam-6225	789	7	l1,l2	l1,l2	PROPN
ejpam-6225	789	8	β	β	X
ejpam-6225	789	9	(=	(=	X
ejpam-6225	789	10	c	c	X
ejpam-6225	789	11	)	)	PUNCT
ejpam-6225	789	12	=	=	NOUN
ejpam-6225	790	1	[	[	X
ejpam-6225	790	2	∗	∗	X
ejpam-6225	790	3	−	−	NOUN
ejpam-6225	790	4	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	790	5	β	β	X
ejpam-6225	790	6	(=	(=	NOUN
ejpam-6225	790	7	)	)	PUNCT
ejpam-6225	791	1	]	]	X
ejpam-6225	791	2	c	c	X
ejpam-6225	791	3	;	;	PUNCT
ejpam-6225	791	4	(	(	PUNCT
ejpam-6225	791	5	8)	8)	NUM
ejpam-6225	791	6	=	=	SYM
ejpam-6225	791	7	⊆	⊆	NUM
ejpam-6225	791	8	ϑ	ϑ	X
ejpam-6225	791	9	⇒	⇒	NOUN
ejpam-6225	791	10	∗	∗	NOUN
ejpam-6225	791	11	−	−	PROPN
ejpam-6225	791	12	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	791	13	β	β	NOUN
ejpam-6225	791	14	(	(	PUNCT
ejpam-6225	791	15	=)	=)	PROPN
ejpam-6225	791	16	v	v	ADP
ejpam-6225	791	17	∗	∗	NOUN
ejpam-6225	791	18	−	−	PROPN
ejpam-6225	791	19	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	791	20	β	β	X
ejpam-6225	791	21	(	(	PUNCT
ejpam-6225	791	22	ϑ	ϑ	NOUN
ejpam-6225	791	23	)	)	PUNCT
ejpam-6225	791	24	and	and	CCONJ
ejpam-6225	791	25	∗	∗	NOUN
ejpam-6225	791	26	−	−	PROPN
ejpam-6225	791	27	psr	psr	PROPN
ejpam-6225	791	28	l1,l2	l1,l2	PROPN
ejpam-6225	791	29	β	β	PROPN
ejpam-6225	791	30	(	(	PUNCT
ejpam-6225	791	31	=)	=)	PROPN
ejpam-6225	791	32	v	v	ADP
ejpam-6225	791	33	∗	∗	NOUN
ejpam-6225	791	34	−	−	PROPN
ejpam-6225	791	35	psr	psr	PROPN
ejpam-6225	791	36	l1,l2	l1,l2	PROPN
ejpam-6225	791	37	β	β	X
ejpam-6225	791	38	(	(	PUNCT
ejpam-6225	791	39	ϑ	ϑ	NOUN
ejpam-6225	791	40	)	)	PUNCT
ejpam-6225	791	41	;	;	PUNCT
ejpam-6225	791	42	(	(	PUNCT
ejpam-6225	791	43	9	9	X
ejpam-6225	791	44	)	)	PUNCT
ejpam-6225	791	45	∗	∗	NOUN
ejpam-6225	791	46	−	−	PROPN
ejpam-6225	791	47	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	791	48	β	β	NOUN
ejpam-6225	791	49	(=	(=	X
ejpam-6225	791	50	∩	∩	ADJ
ejpam-6225	791	51	ϑ	ϑ	NOUN
ejpam-6225	791	52	)	)	PUNCT
ejpam-6225	791	53	v	v	NOUN
ejpam-6225	791	54	∗	∗	NOUN
ejpam-6225	791	55	−	−	PROPN
ejpam-6225	791	56	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	791	57	β	β	NOUN
ejpam-6225	792	1	(	(	PUNCT
ejpam-6225	792	2	=)	=)	PROPN
ejpam-6225	792	3	u	u	PROPN
ejpam-6225	792	4	∗	∗	NOUN
ejpam-6225	792	5	−	−	PROPN
ejpam-6225	792	6	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	792	7	β	β	X
ejpam-6225	792	8	(	(	PUNCT
ejpam-6225	792	9	ϑ	ϑ	NOUN
ejpam-6225	792	10	)	)	PUNCT
ejpam-6225	792	11	and	and	CCONJ
ejpam-6225	792	12	∗	∗	NOUN
ejpam-6225	792	13	−	−	PROPN
ejpam-6225	792	14	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	792	15	β	β	NOUN
ejpam-6225	792	16	(	(	PUNCT
ejpam-6225	792	17	=)	=)	PROPN
ejpam-6225	792	18	∪	∪	ADP
ejpam-6225	792	19	∗	∗	NOUN
ejpam-6225	792	20	−	−	PROPN
ejpam-6225	792	21	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	792	22	β	β	X
ejpam-6225	792	23	(	(	PUNCT
ejpam-6225	792	24	ϑ	ϑ	NOUN
ejpam-6225	792	25	)	)	PUNCT
ejpam-6225	792	26	v	v	NOUN
ejpam-6225	792	27	∗	∗	NOUN
ejpam-6225	792	28	−	−	PROPN
ejpam-6225	792	29	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	792	30	β	β	NOUN
ejpam-6225	792	31	(=	(=	X
ejpam-6225	792	32	t	t	PROPN
ejpam-6225	792	33	ϑ	ϑ	PROPN
ejpam-6225	792	34	)	)	PUNCT
ejpam-6225	792	35	;	;	PUNCT
ejpam-6225	792	36	(	(	PUNCT
ejpam-6225	792	37	10	10	X
ejpam-6225	792	38	)	)	PUNCT
ejpam-6225	792	39	∗	∗	NOUN
ejpam-6225	792	40	−	−	PROPN
ejpam-6225	792	41	psr	psr	PROPN
ejpam-6225	793	1	l1,l2	l1,l2	PROPN
ejpam-6225	793	2	β	β	X
ejpam-6225	793	3	(=	(=	X
ejpam-6225	793	4	∩	∩	X
ejpam-6225	793	5	ϑ	ϑ	NOUN
ejpam-6225	793	6	)	)	PUNCT
ejpam-6225	793	7	v	v	NOUN
ejpam-6225	793	8	∗	∗	NOUN
ejpam-6225	793	9	−	−	PROPN
ejpam-6225	793	10	psr	psr	PROPN
ejpam-6225	793	11	l1,l2	l1,l2	PROPN
ejpam-6225	793	12	β	β	PROPN
ejpam-6225	793	13	(	(	PUNCT
ejpam-6225	793	14	=)	=)	PROPN
ejpam-6225	793	15	u	u	PROPN
ejpam-6225	793	16	∗	∗	NOUN
ejpam-6225	793	17	−	−	PROPN
ejpam-6225	793	18	psr	psr	PROPN
ejpam-6225	793	19	l1,l2	l1,l2	PROPN
ejpam-6225	793	20	β	β	X
ejpam-6225	793	21	(	(	PUNCT
ejpam-6225	793	22	ϑ	ϑ	NOUN
ejpam-6225	793	23	)	)	PUNCT
ejpam-6225	793	24	and	and	CCONJ
ejpam-6225	793	25	∗	∗	NOUN
ejpam-6225	793	26	−	−	PROPN
ejpam-6225	793	27	psr	psr	PROPN
ejpam-6225	793	28	l1,l2	l1,l2	PROPN
ejpam-6225	793	29	β	β	PROPN
ejpam-6225	793	30	(	(	PUNCT
ejpam-6225	793	31	=)	=)	PROPN
ejpam-6225	793	32	t	t	PROPN
ejpam-6225	793	33	∗	∗	NOUN
ejpam-6225	793	34	−	−	PROPN
ejpam-6225	793	35	psr	psr	PROPN
ejpam-6225	793	36	l1,l2	l1,l2	PROPN
ejpam-6225	793	37	β	β	X
ejpam-6225	793	38	(	(	PUNCT
ejpam-6225	793	39	ϑ	ϑ	NOUN
ejpam-6225	793	40	)	)	PUNCT
ejpam-6225	793	41	v	v	NOUN
ejpam-6225	793	42	∗	∗	NOUN
ejpam-6225	793	43	−	−	PROPN
ejpam-6225	793	44	psr	psr	PROPN
ejpam-6225	793	45	l1,l2	l1,l2	PROPN
ejpam-6225	793	46	β	β	PROPN
ejpam-6225	793	47	(=	(=	X
ejpam-6225	793	48	∪	∪	ADP
ejpam-6225	793	49	ϑ	ϑ	NOUN
ejpam-6225	793	50	)	)	PUNCT
ejpam-6225	793	51	.	.	PUNCT
ejpam-6225	794	1	proof	proof	NOUN
ejpam-6225	794	2	.	.	PUNCT
ejpam-6225	795	1	straightforward	straightforward	ADJ
ejpam-6225	795	2	.	.	PUNCT
ejpam-6225	796	1	as	as	SCONJ
ejpam-6225	796	2	shown	show	VERB
ejpam-6225	796	3	by	by	ADP
ejpam-6225	796	4	the	the	DET
ejpam-6225	796	5	following	follow	VERB
ejpam-6225	796	6	example	example	NOUN
ejpam-6225	796	7	,	,	PUNCT
ejpam-6225	796	8	equality	equality	NOUN
ejpam-6225	796	9	relations	relation	NOUN
ejpam-6225	796	10	can	can	AUX
ejpam-6225	796	11	not	not	PART
ejpam-6225	796	12	take	take	VERB
ejpam-6225	796	13	the	the	DET
ejpam-6225	796	14	place	place	NOUN
ejpam-6225	796	15	of	of	ADP
ejpam-6225	796	16	the	the	DET
ejpam-6225	796	17	inclusions	inclusion	NOUN
ejpam-6225	796	18	in	in	ADP
ejpam-6225	796	19	part	part	NOUN
ejpam-6225	796	20	(	(	PUNCT
ejpam-6225	796	21	9	9	NUM
ejpam-6225	796	22	)	)	PUNCT
ejpam-6225	796	23	.	.	PUNCT
ejpam-6225	797	1	d.	d.	PROPN
ejpam-6225	797	2	shi	shi	PROPN
ejpam-6225	797	3	et	et	PROPN
ejpam-6225	797	4	al	al	PROPN
ejpam-6225	797	5	.	.	PUNCT
ejpam-6225	797	6	/	/	SYM
ejpam-6225	797	7	eur	eur	PROPN
ejpam-6225	797	8	.	.	PUNCT
ejpam-6225	798	1	j.	j.	PROPN
ejpam-6225	798	2	pure	pure	PROPN
ejpam-6225	798	3	appl	appl	PROPN
ejpam-6225	798	4	.	.	PROPN
ejpam-6225	798	5	math	math	PROPN
ejpam-6225	798	6	,	,	PUNCT
ejpam-6225	798	7	18	18	NUM
ejpam-6225	798	8	(	(	PUNCT
ejpam-6225	798	9	4	4	NUM
ejpam-6225	798	10	)	)	PUNCT
ejpam-6225	798	11	(	(	PUNCT
ejpam-6225	798	12	2025	2025	NUM
ejpam-6225	798	13	)	)	PUNCT
ejpam-6225	798	14	,	,	PUNCT
ejpam-6225	798	15	6225	6225	NUM
ejpam-6225	798	16	22	22	NUM
ejpam-6225	798	17	of	of	ADP
ejpam-6225	798	18	36	36	NUM
ejpam-6225	798	19	example	example	NOUN
ejpam-6225	798	20	5.1	5.1	NUM
ejpam-6225	798	21	.	.	PUNCT
ejpam-6225	799	1	let	let	VERB
ejpam-6225	799	2	b	b	NOUN
ejpam-6225	799	3	=	=	SYM
ejpam-6225	799	4	(	(	PUNCT
ejpam-6225	799	5	f	f	X
ejpam-6225	799	6	,	,	PUNCT
ejpam-6225	799	7	g	g	NOUN
ejpam-6225	799	8	:	:	PUNCT
ejpam-6225	799	9	℘	℘	PROPN
ejpam-6225	799	10	)	)	PUNCT
ejpam-6225	799	11	∈	∈	PROPN
ejpam-6225	799	12	bssq	bssq	NOUN
ejpam-6225	799	13	and	and	CCONJ
ejpam-6225	799	14	q	q	NOUN
ejpam-6225	800	1	=	=	SYM
ejpam-6225	800	2	,	,	PUNCT
ejpam-6225	800	3	2ג.1ג	2ג.1ג	NUM
ejpam-6225	800	4	}	}	PUNCT
ejpam-6225	800	5	,	,	PUNCT
ejpam-6225	800	6	3ג	3ג	NUM
ejpam-6225	800	7	,	,	PUNCT
ejpam-6225	800	8	4ג	4ג	NOUN
ejpam-6225	800	9	{	{	PUNCT
ejpam-6225	800	10	5ג	5ג	NOUN
ejpam-6225	800	11	and	and	CCONJ
ejpam-6225	800	12	℘	℘	PROPN
ejpam-6225	800	13	=	=	SYM
ejpam-6225	800	14	{	{	PUNCT
ejpam-6225	800	15	ς1	ς1	NOUN
ejpam-6225	800	16	,	,	PUNCT
ejpam-6225	800	17	ς2	ς2	PROPN
ejpam-6225	800	18	,	,	PUNCT
ejpam-6225	800	19	ς3	ς3	NOUN
ejpam-6225	800	20	,	,	PUNCT
ejpam-6225	800	21	ς4	ς4	PROPN
ejpam-6225	800	22	}	}	PUNCT
ejpam-6225	800	23	.	.	PUNCT
ejpam-6225	801	1	the	the	DET
ejpam-6225	801	2	maps	maps	PROPN
ejpam-6225	801	3	f	f	PROPN
ejpam-6225	801	4	and	and	CCONJ
ejpam-6225	801	5	g	g	PROPN
ejpam-6225	801	6	are	be	AUX
ejpam-6225	801	7	as	as	ADV
ejpam-6225	801	8	follow	follow	VERB
ejpam-6225	801	9	:	:	PUNCT
ejpam-6225	801	10	f	f	X
ejpam-6225	801	11	:	:	PUNCT
ejpam-6225	801	12	℘	℘	VERB
ejpam-6225	801	13	−→	−→	NOUN
ejpam-6225	801	14	2q	2q	NOUN
ejpam-6225	801	15	,	,	PUNCT
ejpam-6225	801	16	ς	ς	PROPN
ejpam-6225	801	17	7→	7→	NUM
ejpam-6225	801	18			NUM
ejpam-6225	801	19	,	,	PUNCT
ejpam-6225	801	20	1ג	1ג	NUM
ejpam-6225	801	21	}	}	PUNCT
ejpam-6225	801	22	{	{	PUNCT
ejpam-6225	801	23	2ג	2ג	NOUN
ejpam-6225	801	24	,	,	PUNCT
ejpam-6225	801	25	if	if	SCONJ
ejpam-6225	801	26	ς	ς	PROPN
ejpam-6225	801	27	=	=	PUNCT
ejpam-6225	801	28	ς1	ς1	NOUN
ejpam-6225	801	29	,	,	PUNCT
ejpam-6225	801	30	,	,	PUNCT
ejpam-6225	801	31	3ג	3ג	NOUN
ejpam-6225	801	32	}	}	PUNCT
ejpam-6225	801	33	{	{	PUNCT
ejpam-6225	801	34	5ג	5ג	NOUN
ejpam-6225	801	35	,	,	PUNCT
ejpam-6225	801	36	if	if	SCONJ
ejpam-6225	801	37	ς	ς	PROPN
ejpam-6225	801	38	=	=	SYM
ejpam-6225	801	39	ς2	ς2	PROPN
ejpam-6225	801	40	,	,	PUNCT
ejpam-6225	801	41	,	,	PUNCT
ejpam-6225	801	42	2ג	2ג	NUM
ejpam-6225	801	43	}	}	PUNCT
ejpam-6225	801	44	{	{	PUNCT
ejpam-6225	801	45	4ג	4ג	NOUN
ejpam-6225	801	46	,	,	PUNCT
ejpam-6225	801	47	if	if	SCONJ
ejpam-6225	801	48	ς	ς	PROPN
ejpam-6225	801	49	=	=	SYM
ejpam-6225	801	50	ς3	ς3	PROPN
ejpam-6225	801	51	,	,	PUNCT
ejpam-6225	801	52	,	,	PUNCT
ejpam-6225	801	53	1ג	1ג	NUM
ejpam-6225	801	54	}	}	PUNCT
ejpam-6225	801	55	{	{	PUNCT
ejpam-6225	801	56	3ג	3ג	NUM
ejpam-6225	801	57	,	,	PUNCT
ejpam-6225	801	58	if	if	SCONJ
ejpam-6225	801	59	ς	ς	PROPN
ejpam-6225	801	60	=	=	SYM
ejpam-6225	801	61	ς4	ς4	PROPN
ejpam-6225	801	62	and	and	CCONJ
ejpam-6225	801	63	g	g	NOUN
ejpam-6225	801	64	:	:	PUNCT
ejpam-6225	801	65	ℵ	ℵ	X
ejpam-6225	801	66	−→	−→	NOUN
ejpam-6225	801	67	2q	2q	NOUN
ejpam-6225	801	68	,	,	PUNCT
ejpam-6225	801	69	¬ς	¬ς	PROPN
ejpam-6225	801	70	7→	7→	NUM
ejpam-6225	801	71			NUM
ejpam-6225	801	72	,	,	PUNCT
ejpam-6225	801	73	3ג	3ג	NOUN
ejpam-6225	801	74	}	}	PUNCT
ejpam-6225	801	75	{	{	PUNCT
ejpam-6225	801	76	4ג	4ג	NOUN
ejpam-6225	801	77	,	,	PUNCT
ejpam-6225	801	78	if	if	SCONJ
ejpam-6225	801	79	¬ς	¬ς	NOUN
ejpam-6225	801	80	=	=	SYM
ejpam-6225	801	81	¬ς1	¬ς1	ADV
ejpam-6225	801	82	,	,	PUNCT
ejpam-6225	801	83	,	,	PUNCT
ejpam-6225	801	84	1ג	1ג	NOUN
ejpam-6225	801	85	}	}	PUNCT
ejpam-6225	801	86	{	{	PUNCT
ejpam-6225	801	87	2ג	2ג	NOUN
ejpam-6225	801	88	,	,	PUNCT
ejpam-6225	801	89	if	if	SCONJ
ejpam-6225	801	90	¬ς	¬ς	NOUN
ejpam-6225	801	91	=	=	SYM
ejpam-6225	801	92	¬ς2	¬ς2	NOUN
ejpam-6225	801	93	,	,	PUNCT
ejpam-6225	801	94	,	,	PUNCT
ejpam-6225	801	95	3ג	3ג	NOUN
ejpam-6225	801	96	}	}	PUNCT
ejpam-6225	801	97	{	{	PUNCT
ejpam-6225	801	98	5ג	5ג	NOUN
ejpam-6225	801	99	,	,	PUNCT
ejpam-6225	801	100	if	if	SCONJ
ejpam-6225	801	101	¬ς	¬ς	NOUN
ejpam-6225	801	102	=	=	SYM
ejpam-6225	801	103	¬ς3	¬ς3	NOUN
ejpam-6225	801	104	,	,	PUNCT
ejpam-6225	801	105	,	,	PUNCT
ejpam-6225	801	106	2ג	2ג	NUM
ejpam-6225	801	107	}	}	PUNCT
ejpam-6225	801	108	{	{	PUNCT
ejpam-6225	801	109	4ג	4ג	NOUN
ejpam-6225	801	110	,	,	PUNCT
ejpam-6225	801	111	if	if	SCONJ
ejpam-6225	801	112	¬ς	¬ς	NOUN
ejpam-6225	801	113	=	=	PUNCT
ejpam-6225	801	114	¬ς4	¬ς4	NOUN
ejpam-6225	801	115	.	.	PUNCT
ejpam-6225	802	1	consider	consider	VERB
ejpam-6225	802	2	tow	tow	NOUN
ejpam-6225	802	3	ideals	ideal	NOUN
ejpam-6225	802	4	defined	define	VERB
ejpam-6225	802	5	on	on	ADP
ejpam-6225	802	6	q	q	PROPN
ejpam-6225	802	7	as	as	ADP
ejpam-6225	802	8	l1	l1	PROPN
ejpam-6225	802	9	=	=	PROPN
ejpam-6225	802	10	{	{	PUNCT
ejpam-6225	802	11	∅	∅	NOUN
ejpam-6225	802	12	,	,	PUNCT
ejpam-6225	802	13	{	{	PUNCT
ejpam-6225	802	14	{	{	PUNCT
ejpam-6225	802	15	1ג	1ג	NOUN
ejpam-6225	802	16	}	}	PUNCT
ejpam-6225	802	17	and	and	CCONJ
ejpam-6225	802	18	l2	l2	NOUN
ejpam-6225	802	19	=	=	SYM
ejpam-6225	802	20	{	{	PUNCT
ejpam-6225	802	21	∅	∅	NOUN
ejpam-6225	802	22	,	,	PUNCT
ejpam-6225	802	23	,	,	PUNCT
ejpam-6225	802	24	{	{	PUNCT
ejpam-6225	802	25	3ג	3ג	NOUN
ejpam-6225	802	26	}	}	PUNCT
ejpam-6225	802	27	,	,	PUNCT
ejpam-6225	802	28	{	{	PUNCT
ejpam-6225	802	29	5ג	5ג	NOUN
ejpam-6225	802	30	}	}	PUNCT
ejpam-6225	802	31	,	,	PUNCT
ejpam-6225	802	32	3ג	3ג	NOUN
ejpam-6225	802	33	}	}	PUNCT
ejpam-6225	802	34	.{{{5ג	.{{{5ג	PUNCT
ejpam-6225	803	1	let	let	VERB
ejpam-6225	803	2	=	=	PRON
ejpam-6225	804	1	=	=	SYM
ejpam-6225	804	2	,	,	PUNCT
ejpam-6225	804	3	1ג	1ג	NUM
ejpam-6225	804	4	}	}	PUNCT
ejpam-6225	804	5	,	,	PUNCT
ejpam-6225	804	6	2ג	2ג	NUM
ejpam-6225	804	7	{	{	PUNCT
ejpam-6225	804	8	3ג	3ג	NUM
ejpam-6225	804	9	and	and	CCONJ
ejpam-6225	804	10	ϑ	ϑ	X
ejpam-6225	804	11	=	=	SYM
ejpam-6225	804	12	,	,	PUNCT
ejpam-6225	804	13	4ג	4ג	PROPN
ejpam-6225	804	14	}	}	PUNCT
ejpam-6225	804	15	.{5ג	.{5ג	PUNCT
ejpam-6225	805	1	then	then	ADV
ejpam-6225	805	2	,	,	PUNCT
ejpam-6225	805	3	∗	∗	NOUN
ejpam-6225	805	4	−	−	PROPN
ejpam-6225	805	5	psr	psr	PROPN
ejpam-6225	805	6	l1	l1	PROPN
ejpam-6225	805	7	β	β	PROPN
ejpam-6225	805	8	(	(	PUNCT
ejpam-6225	805	9	=)	=)	PROPN
ejpam-6225	805	10	=	=	SYM
ejpam-6225	805	11	(	(	PUNCT
ejpam-6225	805	12	∗	∗	NOUN
ejpam-6225	805	13	−	−	PROPN
ejpam-6225	805	14	sr	sr	PROPN
ejpam-6225	805	15	l1	l1	PROPN
ejpam-6225	805	16	β+(=	β+(=	PROPN
ejpam-6225	805	17	)	)	PUNCT
ejpam-6225	805	18	,	,	PUNCT
ejpam-6225	805	19	∗	∗	NOUN
ejpam-6225	805	20	−	−	PROPN
ejpam-6225	805	21	sr	sr	PROPN
ejpam-6225	805	22	l1	l1	PROPN
ejpam-6225	805	23	β−(=	β−(=	PROPN
ejpam-6225	805	24	)	)	PUNCT
ejpam-6225	805	25	)	)	PUNCT
ejpam-6225	806	1	=	=	PUNCT
ejpam-6225	806	2	(	(	PUNCT
ejpam-6225	806	3	q	q	ADJ
ejpam-6225	806	4	,	,	PUNCT
ejpam-6225	806	5	∅	∅	NOUN
ejpam-6225	806	6	)	)	PUNCT
ejpam-6225	806	7	and	and	CCONJ
ejpam-6225	806	8	∗	∗	NOUN
ejpam-6225	806	9	−	−	PROPN
ejpam-6225	806	10	psr	psr	PROPN
ejpam-6225	806	11	l2	l2	PROPN
ejpam-6225	806	12	β	β	X
ejpam-6225	806	13	(	(	PUNCT
ejpam-6225	806	14	=)	=)	PROPN
ejpam-6225	806	15	=	=	SYM
ejpam-6225	806	16	(	(	PUNCT
ejpam-6225	806	17	∗	∗	NOUN
ejpam-6225	806	18	−	−	PROPN
ejpam-6225	806	19	sr	sr	PROPN
ejpam-6225	806	20	l2	l2	PROPN
ejpam-6225	806	21	β+(=	β+(=	PROPN
ejpam-6225	806	22	)	)	PUNCT
ejpam-6225	806	23	,	,	PUNCT
ejpam-6225	806	24	∗	∗	NOUN
ejpam-6225	806	25	−	−	PROPN
ejpam-6225	806	26	sr	sr	PROPN
ejpam-6225	806	27	l2	l2	PROPN
ejpam-6225	806	28	β−(=	β−(=	NOUN
ejpam-6225	806	29	)	)	PUNCT
ejpam-6225	806	30	)	)	PUNCT
ejpam-6225	807	1	=	=	SYM
ejpam-6225	807	2	,	,	PUNCT
ejpam-6225	807	3	1ג	1ג	NUM
ejpam-6225	807	4	}	}	PUNCT
ejpam-6225	807	5	)	)	PUNCT
ejpam-6225	807	6	,	,	PUNCT
ejpam-6225	807	7	2ג	2ג	NUM
ejpam-6225	807	8	,	,	PUNCT
ejpam-6225	807	9	3ג	3ג	NUM
ejpam-6225	807	10	,	,	PUNCT
ejpam-6225	807	11	{	{	PUNCT
ejpam-6225	807	12	4ג	4ג	NOUN
ejpam-6225	807	13	,	,	PUNCT
ejpam-6225	807	14	4ג	4ג	NOUN
ejpam-6225	807	15	}	}	PUNCT
ejpam-6225	807	16	(	(	PUNCT
ejpam-6225	807	17	{	{	PUNCT
ejpam-6225	807	18	5ג	5ג	NOUN
ejpam-6225	807	19	.	.	PUNCT
ejpam-6225	808	1	hence	hence	ADV
ejpam-6225	808	2	,	,	PUNCT
ejpam-6225	808	3	∗	∗	NOUN
ejpam-6225	808	4	−	−	PROPN
ejpam-6225	808	5	psr	psr	PROPN
ejpam-6225	808	6	l1,l2	l1,l2	PROPN
ejpam-6225	808	7	β	β	PROPN
ejpam-6225	808	8	(	(	PUNCT
ejpam-6225	808	9	=)	=)	PROPN
ejpam-6225	808	10	=	=	NOUN
ejpam-6225	808	11	∗	∗	NOUN
ejpam-6225	808	12	−	−	PROPN
ejpam-6225	808	13	psr	psr	PROPN
ejpam-6225	808	14	l1	l1	PROPN
ejpam-6225	808	15	β	β	PROPN
ejpam-6225	808	16	(	(	PUNCT
ejpam-6225	808	17	=)	=)	PROPN
ejpam-6225	808	18	u	u	PROPN
ejpam-6225	808	19	∗	∗	NOUN
ejpam-6225	808	20	−	−	PROPN
ejpam-6225	808	21	psr	psr	PROPN
ejpam-6225	808	22	l2	l2	PROPN
ejpam-6225	808	23	β	β	X
ejpam-6225	808	24	(	(	PUNCT
ejpam-6225	808	25	=)	=)	PROPN
ejpam-6225	808	26	=	=	SYM
ejpam-6225	808	27	,	,	PUNCT
ejpam-6225	808	28	1ג	1ג	NUM
ejpam-6225	808	29	}	}	PUNCT
ejpam-6225	808	30	)	)	PUNCT
ejpam-6225	808	31	,	,	PUNCT
ejpam-6225	808	32	2ג	2ג	NUM
ejpam-6225	808	33	,	,	PUNCT
ejpam-6225	808	34	3ג	3ג	NUM
ejpam-6225	808	35	,	,	PUNCT
ejpam-6225	808	36	{	{	PUNCT
ejpam-6225	808	37	4ג	4ג	NOUN
ejpam-6225	808	38	,	,	PUNCT
ejpam-6225	808	39	4ג	4ג	NOUN
ejpam-6225	808	40	}	}	PUNCT
ejpam-6225	808	41	(	(	PUNCT
ejpam-6225	808	42	{	{	PUNCT
ejpam-6225	808	43	5ג	5ג	NOUN
ejpam-6225	808	44	.	.	PUNCT
ejpam-6225	809	1	also	also	ADV
ejpam-6225	809	2	,	,	PUNCT
ejpam-6225	809	3	∗	∗	NOUN
ejpam-6225	809	4	−	−	PROPN
ejpam-6225	809	5	psr	psr	PROPN
ejpam-6225	809	6	l1	l1	PROPN
ejpam-6225	809	7	β	β	PROPN
ejpam-6225	809	8	(	(	PUNCT
ejpam-6225	809	9	ϑ	ϑ	NOUN
ejpam-6225	809	10	)	)	PUNCT
ejpam-6225	809	11	=	=	SYM
ejpam-6225	809	12	(	(	PUNCT
ejpam-6225	809	13	∗	∗	PROPN
ejpam-6225	809	14	−	−	PROPN
ejpam-6225	809	15	sr	sr	PROPN
ejpam-6225	809	16	l1	l1	PROPN
ejpam-6225	809	17	β+(ϑ	β+(ϑ	PROPN
ejpam-6225	809	18	)	)	PUNCT
ejpam-6225	809	19	,	,	PUNCT
ejpam-6225	809	20	∗	∗	NOUN
ejpam-6225	809	21	−	−	PROPN
ejpam-6225	809	22	sr	sr	PROPN
ejpam-6225	809	23	l1	l1	PROPN
ejpam-6225	809	24	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	809	25	)	)	PUNCT
ejpam-6225	809	26	)	)	PUNCT
ejpam-6225	810	1	=	=	SYM
ejpam-6225	810	2	,	,	PUNCT
ejpam-6225	810	3	4ג	4ג	NOUN
ejpam-6225	810	4	}	}	PUNCT
ejpam-6225	810	5	)	)	PUNCT
ejpam-6225	810	6	,	,	PUNCT
ejpam-6225	810	7	{	{	PUNCT
ejpam-6225	810	8	5ג	5ג	NOUN
ejpam-6225	810	9	,	,	PUNCT
ejpam-6225	810	10	1ג	1ג	NUM
ejpam-6225	810	11	}	}	PUNCT
ejpam-6225	810	12	(	(	PUNCT
ejpam-6225	810	13	{	{	PUNCT
ejpam-6225	810	14	2ג	2ג	NUM
ejpam-6225	810	15	and	and	CCONJ
ejpam-6225	810	16	∗	∗	NOUN
ejpam-6225	810	17	−	−	PROPN
ejpam-6225	810	18	psr	psr	PROPN
ejpam-6225	810	19	l2	l2	PROPN
ejpam-6225	810	20	β	β	X
ejpam-6225	810	21	(	(	PUNCT
ejpam-6225	810	22	ϑ	ϑ	NOUN
ejpam-6225	810	23	)	)	PUNCT
ejpam-6225	810	24	=	=	SYM
ejpam-6225	810	25	(	(	PUNCT
ejpam-6225	810	26	∗	∗	NOUN
ejpam-6225	810	27	−	−	PROPN
ejpam-6225	810	28	sr	sr	PROPN
ejpam-6225	810	29	l2	l2	PROPN
ejpam-6225	810	30	β+(ϑ	β+(ϑ	PUNCT
ejpam-6225	810	31	)	)	PUNCT
ejpam-6225	810	32	,	,	PUNCT
ejpam-6225	810	33	∗	∗	NOUN
ejpam-6225	810	34	−	−	PROPN
ejpam-6225	810	35	sr	sr	PROPN
ejpam-6225	810	36	l2	l2	NOUN
ejpam-6225	810	37	β−(ϑ	β−(ϑ	PROPN
ejpam-6225	810	38	)	)	PUNCT
ejpam-6225	810	39	)	)	PUNCT
ejpam-6225	811	1	=	=	SYM
ejpam-6225	811	2	,	,	PUNCT
ejpam-6225	811	3	2ג	2ג	NOUN
ejpam-6225	811	4	}	}	PUNCT
ejpam-6225	811	5	)	)	PUNCT
ejpam-6225	811	6	,	,	PUNCT
ejpam-6225	811	7	4ג	4ג	NOUN
ejpam-6225	811	8	,	,	PUNCT
ejpam-6225	811	9	{	{	PUNCT
ejpam-6225	811	10	5ג	5ג	NOUN
ejpam-6225	811	11	,	,	PUNCT
ejpam-6225	811	12	1ג	1ג	NUM
ejpam-6225	811	13	}	}	PUNCT
ejpam-6225	811	14	,	,	PUNCT
ejpam-6225	811	15	2ג	2ג	NOUN
ejpam-6225	811	16	.({3ג	.({3ג	VERB
ejpam-6225	812	1	hence	hence	ADV
ejpam-6225	812	2	,	,	PUNCT
ejpam-6225	812	3	∗	∗	NOUN
ejpam-6225	812	4	−	−	PROPN
ejpam-6225	812	5	psr	psr	PROPN
ejpam-6225	812	6	l1,l2	l1,l2	PROPN
ejpam-6225	812	7	β	β	X
ejpam-6225	812	8	(	(	PUNCT
ejpam-6225	812	9	ϑ	ϑ	NOUN
ejpam-6225	812	10	)	)	PUNCT
ejpam-6225	812	11	=	=	NOUN
ejpam-6225	812	12	∗	∗	NOUN
ejpam-6225	812	13	−	−	PROPN
ejpam-6225	812	14	psr	psr	PROPN
ejpam-6225	812	15	l1	l1	PROPN
ejpam-6225	812	16	β	β	PROPN
ejpam-6225	812	17	(	(	PUNCT
ejpam-6225	812	18	ϑ	ϑ	NOUN
ejpam-6225	812	19	)	)	PUNCT
ejpam-6225	812	20	u	u	NOUN
ejpam-6225	812	21	∗	∗	NOUN
ejpam-6225	812	22	−	−	PROPN
ejpam-6225	812	23	psr	psr	PROPN
ejpam-6225	812	24	l2	l2	PROPN
ejpam-6225	812	25	β	β	X
ejpam-6225	812	26	(	(	PUNCT
ejpam-6225	812	27	ϑ	ϑ	NOUN
ejpam-6225	812	28	)	)	PUNCT
ejpam-6225	812	29	=	=	SYM
ejpam-6225	812	30	,	,	PUNCT
ejpam-6225	812	31	4ג	4ג	NOUN
ejpam-6225	812	32	}	}	PUNCT
ejpam-6225	812	33	)	)	PUNCT
ejpam-6225	812	34	,	,	PUNCT
ejpam-6225	812	35	{	{	PUNCT
ejpam-6225	812	36	5ג	5ג	NOUN
ejpam-6225	812	37	,	,	PUNCT
ejpam-6225	812	38	1ג	1ג	NUM
ejpam-6225	812	39	}	}	PUNCT
ejpam-6225	812	40	(	(	PUNCT
ejpam-6225	812	41	{	{	PUNCT
ejpam-6225	812	42	2ג	2ג	NOUN
ejpam-6225	812	43	.	.	PUNCT
ejpam-6225	813	1	also	also	ADV
ejpam-6225	813	2	,	,	PUNCT
ejpam-6225	813	3	∗	∗	NOUN
ejpam-6225	813	4	−	−	PROPN
ejpam-6225	813	5	psr	psr	PROPN
ejpam-6225	813	6	l1	l1	PROPN
ejpam-6225	813	7	β	β	PROPN
ejpam-6225	813	8	(=	(=	X
ejpam-6225	813	9	∪	∪	ADP
ejpam-6225	813	10	ϑ	ϑ	NOUN
ejpam-6225	813	11	)	)	PUNCT
ejpam-6225	813	12	=	=	SYM
ejpam-6225	813	13	(	(	PUNCT
ejpam-6225	813	14	∗	∗	NOUN
ejpam-6225	813	15	−	−	PROPN
ejpam-6225	813	16	sr	sr	PROPN
ejpam-6225	813	17	l1	l1	PROPN
ejpam-6225	813	18	β+(=	β+(=	PROPN
ejpam-6225	813	19	∪	∪	ADP
ejpam-6225	813	20	ϑ	ϑ	NOUN
ejpam-6225	813	21	)	)	PUNCT
ejpam-6225	813	22	,	,	PUNCT
ejpam-6225	813	23	∗	∗	NOUN
ejpam-6225	813	24	−	−	PROPN
ejpam-6225	813	25	sr	sr	PROPN
ejpam-6225	813	26	l1	l1	PROPN
ejpam-6225	813	27	β−(=	β−(=	PROPN
ejpam-6225	813	28	∪	∪	PROPN
ejpam-6225	813	29	ϑ	ϑ	NOUN
ejpam-6225	813	30	)	)	PUNCT
ejpam-6225	813	31	)	)	PUNCT
ejpam-6225	814	1	=	=	PUNCT
ejpam-6225	814	2	(	(	PUNCT
ejpam-6225	814	3	q	q	ADJ
ejpam-6225	814	4	,	,	PUNCT
ejpam-6225	814	5	∅	∅	NOUN
ejpam-6225	814	6	)	)	PUNCT
ejpam-6225	814	7	and	and	CCONJ
ejpam-6225	814	8	∗	∗	NOUN
ejpam-6225	814	9	−	−	PROPN
ejpam-6225	814	10	psr	psr	PROPN
ejpam-6225	814	11	l2	l2	PROPN
ejpam-6225	814	12	β	β	X
ejpam-6225	814	13	(=	(=	X
ejpam-6225	814	14	∪	∪	ADP
ejpam-6225	814	15	ϑ	ϑ	NOUN
ejpam-6225	814	16	)	)	PUNCT
ejpam-6225	814	17	=	=	SYM
ejpam-6225	814	18	(	(	PUNCT
ejpam-6225	814	19	∗	∗	NOUN
ejpam-6225	814	20	−	−	PROPN
ejpam-6225	814	21	sr	sr	PROPN
ejpam-6225	814	22	l2	l2	PROPN
ejpam-6225	814	23	β+(=	β+(=	PROPN
ejpam-6225	814	24	∪	∪	ADP
ejpam-6225	814	25	ϑ	ϑ	NOUN
ejpam-6225	814	26	)	)	PUNCT
ejpam-6225	814	27	,	,	PUNCT
ejpam-6225	814	28	∗	∗	NOUN
ejpam-6225	814	29	−	−	PROPN
ejpam-6225	814	30	sr	sr	PROPN
ejpam-6225	814	31	l2	l2	PROPN
ejpam-6225	814	32	β−(=	β−(=	X
ejpam-6225	814	33	∪	∪	X
ejpam-6225	814	34	ϑ	ϑ	NOUN
ejpam-6225	814	35	)	)	PUNCT
ejpam-6225	814	36	)	)	PUNCT
ejpam-6225	815	1	=	=	PUNCT
ejpam-6225	815	2	(	(	PUNCT
ejpam-6225	815	3	q	q	ADJ
ejpam-6225	815	4	,	,	PUNCT
ejpam-6225	815	5	∅	∅	NOUN
ejpam-6225	815	6	}	}	PUNCT
ejpam-6225	815	7	)	)	PUNCT
ejpam-6225	815	8	.	.	PUNCT
ejpam-6225	816	1	hence	hence	ADV
ejpam-6225	816	2	,	,	PUNCT
ejpam-6225	816	3	∗	∗	NOUN
ejpam-6225	816	4	−	−	PROPN
ejpam-6225	816	5	psr	psr	PROPN
ejpam-6225	816	6	l1,l2	l1,l2	PROPN
ejpam-6225	816	7	β	β	PROPN
ejpam-6225	816	8	(=	(=	X
ejpam-6225	816	9	∪	∪	ADP
ejpam-6225	816	10	ϑ	ϑ	NOUN
ejpam-6225	816	11	)	)	PUNCT
ejpam-6225	816	12	=	=	SYM
ejpam-6225	816	13	∗	∗	NOUN
ejpam-6225	816	14	−	−	PROPN
ejpam-6225	816	15	psr	psr	PROPN
ejpam-6225	816	16	l1	l1	PROPN
ejpam-6225	816	17	β	β	PROPN
ejpam-6225	816	18	(	(	PUNCT
ejpam-6225	816	19	ϑ	ϑ	NOUN
ejpam-6225	816	20	)	)	PUNCT
ejpam-6225	816	21	u	u	NOUN
ejpam-6225	816	22	∗	∗	NOUN
ejpam-6225	816	23	−	−	PROPN
ejpam-6225	816	24	psr	psr	PROPN
ejpam-6225	816	25	l2	l2	PROPN
ejpam-6225	816	26	β	β	X
ejpam-6225	816	27	(	(	PUNCT
ejpam-6225	816	28	ϑ	ϑ	NOUN
ejpam-6225	816	29	)	)	PUNCT
ejpam-6225	816	30	=	=	SYM
ejpam-6225	816	31	(	(	PUNCT
ejpam-6225	816	32	q	q	ADJ
ejpam-6225	816	33	,	,	PUNCT
ejpam-6225	816	34	∅	∅	NOUN
ejpam-6225	816	35	)	)	PUNCT
ejpam-6225	816	36	.	.	PUNCT
ejpam-6225	817	1	clearly	clearly	ADV
ejpam-6225	817	2	,	,	PUNCT
ejpam-6225	817	3	∗	∗	NOUN
ejpam-6225	817	4	−	−	PROPN
ejpam-6225	817	5	psr	psr	PROPN
ejpam-6225	817	6	l1,l2	l1,l2	PROPN
ejpam-6225	817	7	β	β	PROPN
ejpam-6225	817	8	(	(	PUNCT
ejpam-6225	817	9	=)	=)	PROPN
ejpam-6225	817	10	t	t	PROPN
ejpam-6225	817	11	∗	∗	NOUN
ejpam-6225	817	12	−	−	PROPN
ejpam-6225	817	13	psr	psr	PROPN
ejpam-6225	817	14	l1,l2	l1,l2	PROPN
ejpam-6225	817	15	β	β	X
ejpam-6225	817	16	(	(	PUNCT
ejpam-6225	817	17	ϑ	ϑ	NOUN
ejpam-6225	817	18	)	)	PUNCT
ejpam-6225	817	19	6=	6=	ADP
ejpam-6225	817	20	∗	∗	NOUN
ejpam-6225	817	21	−	−	PROPN
ejpam-6225	817	22	psr	psr	PROPN
ejpam-6225	817	23	l1,l2	l1,l2	PROPN
ejpam-6225	817	24	β	β	PROPN
ejpam-6225	817	25	(=	(=	X
ejpam-6225	817	26	∪	∪	ADP
ejpam-6225	817	27	ϑ	ϑ	NOUN
ejpam-6225	817	28	)	)	PUNCT
ejpam-6225	817	29	.	.	PUNCT
ejpam-6225	818	1	theorem	theorem	VERB
ejpam-6225	818	2	5.1	5.1	NUM
ejpam-6225	818	3	.	.	PUNCT
ejpam-6225	819	1	let	let	VERB
ejpam-6225	819	2	b	b	NOUN
ejpam-6225	819	3	=	=	SYM
ejpam-6225	819	4	(	(	PUNCT
ejpam-6225	819	5	f	f	X
ejpam-6225	819	6	,	,	PUNCT
ejpam-6225	819	7	g	g	NOUN
ejpam-6225	819	8	:	:	PUNCT
ejpam-6225	819	9	℘	℘	PROPN
ejpam-6225	819	10	)	)	PUNCT
ejpam-6225	819	11	∈	∈	PROPN
ejpam-6225	819	12	bssq	bssq	NOUN
ejpam-6225	819	13	and	and	CCONJ
ejpam-6225	819	14	β	β	NOUN
ejpam-6225	819	15	<	<	X
ejpam-6225	819	16	l1,l2	l1,l2	PROPN
ejpam-6225	819	17	>	>	X
ejpam-6225	819	18	=	=	PUNCT
ejpam-6225	820	1	(	(	PUNCT
ejpam-6225	820	2	q	q	ADJ
ejpam-6225	820	3	,	,	PUNCT
ejpam-6225	820	4	(	(	PUNCT
ejpam-6225	820	5	f	f	X
ejpam-6225	820	6	,	,	PUNCT
ejpam-6225	820	7	g	g	NOUN
ejpam-6225	820	8	:	:	PUNCT
ejpam-6225	820	9	℘	℘	PROPN
ejpam-6225	820	10	)	)	PUNCT
ejpam-6225	820	11	,	,	PUNCT
ejpam-6225	820	12	l1	l1	PROPN
ejpam-6225	820	13	,	,	PUNCT
ejpam-6225	820	14	l2	l2	NOUN
ejpam-6225	820	15	)	)	PUNCT
ejpam-6225	820	16	is	be	AUX
ejpam-6225	820	17	the	the	DET
ejpam-6225	820	18	corresponding	corresponding	ADJ
ejpam-6225	820	19	bi	bi	ADJ
ejpam-6225	820	20	-	-	ADJ
ejpam-6225	820	21	ibsa	ibsa	NOUN
ejpam-6225	820	22	-	-	PUNCT
ejpam-6225	820	23	space	space	NOUN
ejpam-6225	820	24	.	.	PUNCT
ejpam-6225	821	1	then	then	ADV
ejpam-6225	821	2	,	,	PUNCT
ejpam-6225	821	3	these	these	DET
ejpam-6225	821	4	properties	property	NOUN
ejpam-6225	821	5	are	be	AUX
ejpam-6225	821	6	fulfilled	fulfil	VERB
ejpam-6225	821	7	for	for	ADP
ejpam-6225	821	8	=	=	SYM
ejpam-6225	821	9	⊆	⊆	NUM
ejpam-6225	821	10	q	q	NOUN
ejpam-6225	821	11	(	(	PUNCT
ejpam-6225	821	12	1	1	NUM
ejpam-6225	821	13	)	)	PUNCT
ejpam-6225	821	14	∗	∗	NOUN
ejpam-6225	821	15	−	−	PROPN
ejpam-6225	821	16	psr	psr	PROPN
ejpam-6225	821	17	<	<	X
ejpam-6225	821	18	l1,l2	l1,l2	PROPN
ejpam-6225	821	19	>	>	X
ejpam-6225	821	20	β	β	PROPN
ejpam-6225	821	21	(	(	PUNCT
ejpam-6225	821	22	=)	=)	PROPN
ejpam-6225	821	23	v	v	ADP
ejpam-6225	821	24	∗	∗	NOUN
ejpam-6225	821	25	−	−	PROPN
ejpam-6225	821	26	psr	psr	PROPN
ejpam-6225	821	27	l1,l2	l1,l2	PROPN
ejpam-6225	821	28	β	β	PROPN
ejpam-6225	821	29	(	(	PUNCT
ejpam-6225	821	30	=)	=)	PROPN
ejpam-6225	821	31	.	.	PUNCT
ejpam-6225	821	32	(	(	PUNCT
ejpam-6225	821	33	2	2	X
ejpam-6225	821	34	)	)	PUNCT
ejpam-6225	821	35	∗	∗	NOUN
ejpam-6225	821	36	−	−	PROPN
ejpam-6225	821	37	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	821	38	β	β	NOUN
ejpam-6225	821	39	(	(	PUNCT
ejpam-6225	821	40	=)	=)	PROPN
ejpam-6225	821	41	v	v	ADP
ejpam-6225	821	42	∗	∗	NOUN
ejpam-6225	821	43	−	−	PROPN
ejpam-6225	821	44	psr	psr	PROPN
ejpam-6225	821	45	<	<	X
ejpam-6225	821	46	l1,l2	l1,l2	PROPN
ejpam-6225	821	47	>	>	X
ejpam-6225	821	48	β	β	X
ejpam-6225	821	49	(	(	PUNCT
ejpam-6225	821	50	=)	=)	PROPN
ejpam-6225	821	51	.	.	PUNCT
ejpam-6225	821	52	(	(	PUNCT
ejpam-6225	821	53	3	3	X
ejpam-6225	821	54	)	)	PUNCT
ejpam-6225	821	55	∗	∗	NOUN
ejpam-6225	821	56	−	−	PROPN
ejpam-6225	821	57	bn	bn	INTJ
ejpam-6225	822	1	d	d	X
ejpam-6225	822	2	<	<	X
ejpam-6225	822	3	l1,l2	l1,l2	PROPN
ejpam-6225	822	4	>	>	X
ejpam-6225	822	5	β	β	PROPN
ejpam-6225	822	6	(	(	PUNCT
ejpam-6225	822	7	=)	=)	PROPN
ejpam-6225	822	8	v	v	ADP
ejpam-6225	822	9	∗	∗	NOUN
ejpam-6225	822	10	−	−	ADP
ejpam-6225	822	11	bn	bn	ADP
ejpam-6225	822	12	dl1,l2	dl1,l2	NOUN
ejpam-6225	822	13	β	β	X
ejpam-6225	822	14	(	(	PUNCT
ejpam-6225	822	15	=)	=)	PROPN
ejpam-6225	822	16	.	.	PUNCT
ejpam-6225	822	17	proof	proof	NOUN
ejpam-6225	822	18	.	.	PUNCT
ejpam-6225	823	1	(	(	PUNCT
ejpam-6225	823	2	1	1	X
ejpam-6225	823	3	)	)	PUNCT
ejpam-6225	823	4	let	let	VERB
ejpam-6225	823	5	ג	ג	PROPN
ejpam-6225	823	6	∈	∈	PROPN
ejpam-6225	823	7	∗	∗	NOUN
ejpam-6225	823	8	−	−	PROPN
ejpam-6225	823	9	psr	psr	PROPN
ejpam-6225	823	10	<	<	X
ejpam-6225	823	11	l1,l2	l1,l2	PROPN
ejpam-6225	823	12	>	>	X
ejpam-6225	823	13	β+	β+	PUNCT
ejpam-6225	823	14	(	(	PUNCT
ejpam-6225	823	15	=)	=)	PROPN
ejpam-6225	823	16	.	.	PUNCT
ejpam-6225	824	1	then	then	ADV
ejpam-6225	824	2	,	,	PUNCT
ejpam-6225	824	3	ג	ג	PROPN
ejpam-6225	824	4	∈	∈	PROPN
ejpam-6225	824	5	=	=	SYM
ejpam-6225	824	6	or	or	CCONJ
ejpam-6225	824	7	ג	ג	PROPN
ejpam-6225	824	8	∈	∈	PROPN
ejpam-6225	824	9	∗	∗	NOUN
ejpam-6225	824	10	−	−	PROPN
ejpam-6225	824	11	sr	sr	PROPN
ejpam-6225	824	12	<	<	X
ejpam-6225	824	13	l1,l2	l1,l2	PROPN
ejpam-6225	824	14	>	>	X
ejpam-6225	824	15	β+	β+	PUNCT
ejpam-6225	824	16	(	(	PUNCT
ejpam-6225	824	17	=)	=)	INTJ
ejpam-6225	824	18	.	.	PUNCT
ejpam-6225	825	1	so	so	ADV
ejpam-6225	825	2	,	,	PUNCT
ejpam-6225	825	3	ג	ג	PROPN
ejpam-6225	825	4	∈	∈	PROPN
ejpam-6225	825	5	=	=	SYM
ejpam-6225	825	6	or	or	CCONJ
ejpam-6225	825	7	∀ς	∀ς	PROPN
ejpam-6225	825	8	∈	∈	PROPN
ejpam-6225	825	9	℘	℘	PROPN
ejpam-6225	825	10	:	:	PUNCT
ejpam-6225	825	11	ג	ג	PROPN
ejpam-6225	825	12	∈	∈	PROPN
ejpam-6225	825	13	f(ς	f(ς	PROPN
ejpam-6225	825	14	)	)	PUNCT
ejpam-6225	825	15	,	,	PUNCT
ejpam-6225	825	16	and	and	CCONJ
ejpam-6225	825	17	we	we	PRON
ejpam-6225	825	18	get	get	VERB
ejpam-6225	825	19	f(ς	f(ς	NOUN
ejpam-6225	825	20	)	)	PUNCT
ejpam-6225	825	21	∩	∩	NOUN
ejpam-6225	825	22	=	=	SYM
ejpam-6225	825	23	/∈	/∈	X
ejpam-6225	825	24	<	<	X
ejpam-6225	825	25	l1	l1	PROPN
ejpam-6225	825	26	,	,	PUNCT
ejpam-6225	825	27	l2	l2	NOUN
ejpam-6225	825	28	>	>	PUNCT
ejpam-6225	825	29	.	.	PUNCT
ejpam-6225	826	1	first	first	ADJ
ejpam-6225	826	2	choice	choice	NOUN
ejpam-6225	826	3	,	,	PUNCT
ejpam-6225	826	4	if	if	SCONJ
ejpam-6225	826	5	ג	ג	PROPN
ejpam-6225	826	6	∈	∈	PROPN
ejpam-6225	826	7	=	=	NOUN
ejpam-6225	826	8	,	,	PUNCT
ejpam-6225	826	9	then	then	ADV
ejpam-6225	826	10	ג	ג	PROPN
ejpam-6225	826	11	∈	∈	PROPN
ejpam-6225	826	12	∗	∗	NOUN
ejpam-6225	826	13	−	−	PROPN
ejpam-6225	826	14	sr	sr	PROPN
ejpam-6225	826	15	l1	l1	PROPN
ejpam-6225	826	16	β+(=	β+(=	PROPN
ejpam-6225	826	17	)	)	PUNCT
ejpam-6225	826	18	and	and	CCONJ
ejpam-6225	826	19	ג	ג	PROPN
ejpam-6225	826	20	∈	∈	PROPN
ejpam-6225	826	21	∗	∗	NOUN
ejpam-6225	826	22	−	−	PROPN
ejpam-6225	826	23	sr	sr	PROPN
ejpam-6225	826	24	l2	l2	PROPN
ejpam-6225	826	25	β+(=	β+(=	PROPN
ejpam-6225	826	26	)	)	PUNCT
ejpam-6225	826	27	.	.	PUNCT
ejpam-6225	827	1	thus	thus	ADV
ejpam-6225	827	2	,	,	PUNCT
ejpam-6225	827	3	ג	ג	PROPN
ejpam-6225	827	4	∈	∈	PROPN
ejpam-6225	827	5	∗	∗	NOUN
ejpam-6225	827	6	−	−	PROPN
ejpam-6225	827	7	psr	psr	PROPN
ejpam-6225	827	8	l1,l2	l1,l2	PROPN
ejpam-6225	827	9	β+	β+	PUNCT
ejpam-6225	827	10	(	(	PUNCT
ejpam-6225	827	11	=)	=)	PROPN
ejpam-6225	827	12	.	.	PROPN
ejpam-6225	827	13	second	second	ADJ
ejpam-6225	827	14	choice	choice	NOUN
ejpam-6225	827	15	,	,	PUNCT
ejpam-6225	827	16	if	if	SCONJ
ejpam-6225	827	17	∀ς	∀ς	NOUN
ejpam-6225	827	18	∈	∈	NOUN
ejpam-6225	827	19	℘	℘	PROPN
ejpam-6225	827	20	:	:	PUNCT
ejpam-6225	827	21	ג	ג	PROPN
ejpam-6225	827	22	∈	∈	PROPN
ejpam-6225	827	23	f(ς	f(ς	PROPN
ejpam-6225	827	24	)	)	PUNCT
ejpam-6225	827	25	,	,	PUNCT
ejpam-6225	827	26	we	we	PRON
ejpam-6225	827	27	have	have	VERB
ejpam-6225	827	28	f(ς)∩=	f(ς)∩=	NOUN
ejpam-6225	827	29	/∈	/∈	INTJ
ejpam-6225	827	30	<	<	X
ejpam-6225	827	31	l1	l1	PROPN
ejpam-6225	827	32	,	,	PUNCT
ejpam-6225	827	33	l2	l2	NOUN
ejpam-6225	827	34	>	>	PUNCT
ejpam-6225	827	35	,	,	PUNCT
ejpam-6225	827	36	then	then	ADV
ejpam-6225	827	37	f(ς)∩=	f(ς)∩=	PROPN
ejpam-6225	827	38	/∈	/∈	PUNCT
ejpam-6225	827	39	l1	l1	PROPN
ejpam-6225	827	40	and	and	CCONJ
ejpam-6225	827	41	f(ς)∩=	f(ς)∩=	PROPN
ejpam-6225	827	42	/∈	/∈	PUNCT
ejpam-6225	828	1	l2	l2	NOUN
ejpam-6225	828	2	∀ς	∀ς	NOUN
ejpam-6225	828	3	∈	∈	PROPN
ejpam-6225	828	4	℘	℘	PROPN
ejpam-6225	828	5	:	:	PUNCT
ejpam-6225	828	6	ג	ג	PROPN
ejpam-6225	828	7	∈	∈	PROPN
ejpam-6225	828	8	f(ς	f(ς	PROPN
ejpam-6225	828	9	)	)	PUNCT
ejpam-6225	828	10	,	,	PUNCT
ejpam-6225	828	11	and	and	CCONJ
ejpam-6225	828	12	thus	thus	ADV
ejpam-6225	828	13	ג	ג	ADP
ejpam-6225	828	14	/∈	/∈	INTJ
ejpam-6225	828	15	srl1	srl1	PROPN
ejpam-6225	828	16	β+(=c	β+(=c	X
ejpam-6225	828	17	)	)	PUNCT
ejpam-6225	828	18	and	and	CCONJ
ejpam-6225	828	19	ג	ג	PROPN
ejpam-6225	828	20	/∈	/∈	PUNCT
ejpam-6225	828	21	srl2	srl2	PROPN
ejpam-6225	828	22	β+(=c	β+(=c	PUNCT
ejpam-6225	828	23	)	)	PUNCT
ejpam-6225	828	24	.	.	PUNCT
ejpam-6225	829	1	that	that	PRON
ejpam-6225	829	2	means	mean	VERB
ejpam-6225	829	3	ג	ג	PROPN
ejpam-6225	829	4	∈	∈	PROPN
ejpam-6225	829	5	∗	∗	NOUN
ejpam-6225	829	6	−	−	PROPN
ejpam-6225	829	7	sr	sr	PROPN
ejpam-6225	829	8	l1	l1	PROPN
ejpam-6225	829	9	β+(=	β+(=	PROPN
ejpam-6225	829	10	)	)	PUNCT
ejpam-6225	829	11	and	and	CCONJ
ejpam-6225	829	12	ג	ג	PROPN
ejpam-6225	829	13	∈	∈	PROPN
ejpam-6225	829	14	(	(	PUNCT
ejpam-6225	829	15	∗	∗	NOUN
ejpam-6225	829	16	−	−	PROPN
ejpam-6225	829	17	sr	sr	PROPN
ejpam-6225	829	18	l2	l2	PROPN
ejpam-6225	829	19	β+(=	β+(=	PROPN
ejpam-6225	829	20	)	)	PUNCT
ejpam-6225	829	21	by	by	ADP
ejpam-6225	829	22	definitions	definition	NOUN
ejpam-6225	829	23	3.1	3.1	NUM
ejpam-6225	829	24	,	,	PUNCT
ejpam-6225	829	25	4.1	4.1	NUM
ejpam-6225	829	26	.	.	PUNCT
ejpam-6225	830	1	thus	thus	ADV
ejpam-6225	830	2	,	,	PUNCT
ejpam-6225	830	3	ג	ג	PROPN
ejpam-6225	830	4	∈	∈	PROPN
ejpam-6225	830	5	∗	∗	NOUN
ejpam-6225	830	6	−	−	PROPN
ejpam-6225	831	1	sr	sr	PROPN
ejpam-6225	831	2	l1	l1	PROPN
ejpam-6225	831	3	β+(=	β+(=	PROPN
ejpam-6225	831	4	)	)	PUNCT
ejpam-6225	831	5	∩	∩	NOUN
ejpam-6225	831	6	∗	∗	NOUN
ejpam-6225	831	7	−	−	PROPN
ejpam-6225	831	8	sr	sr	PROPN
ejpam-6225	831	9	l2	l2	PROPN
ejpam-6225	831	10	β+(=	β+(=	PROPN
ejpam-6225	831	11	)	)	PUNCT
ejpam-6225	831	12	.	.	PUNCT
ejpam-6225	832	1	this	this	PRON
ejpam-6225	832	2	means	mean	VERB
ejpam-6225	832	3	that	that	SCONJ
ejpam-6225	832	4	ג	ג	PROPN
ejpam-6225	832	5	∈	∈	PROPN
ejpam-6225	832	6	∗	∗	NOUN
ejpam-6225	832	7	−	−	PROPN
ejpam-6225	832	8	psr	psr	PROPN
ejpam-6225	832	9	l1,l2	l1,l2	PROPN
ejpam-6225	832	10	β+	β+	PUNCT
ejpam-6225	832	11	(	(	PUNCT
ejpam-6225	832	12	=)	=)	PROPN
ejpam-6225	832	13	.	.	PUNCT
ejpam-6225	832	14	hence	hence	ADV
ejpam-6225	832	15	,	,	PUNCT
ejpam-6225	832	16	∗	∗	NOUN
ejpam-6225	832	17	−	−	PROPN
ejpam-6225	832	18	psr	psr	PROPN
ejpam-6225	832	19	<	<	X
ejpam-6225	832	20	l1,l2	l1,l2	PROPN
ejpam-6225	832	21	>	>	X
ejpam-6225	832	22	β+	β+	PUNCT
ejpam-6225	832	23	(	(	PUNCT
ejpam-6225	832	24	=)	=)	PROPN
ejpam-6225	832	25	⊆	⊆	NUM
ejpam-6225	832	26	∗	∗	NOUN
ejpam-6225	832	27	−	−	PROPN
ejpam-6225	832	28	psr	psr	PROPN
ejpam-6225	832	29	l1,l2	l1,l2	PROPN
ejpam-6225	832	30	β+	β+	PUNCT
ejpam-6225	832	31	(	(	PUNCT
ejpam-6225	832	32	=)	=)	AUX
ejpam-6225	832	33	.	.	PUNCT
ejpam-6225	832	34	let	let	VERB
ejpam-6225	832	35	ג	ג	PROPN
ejpam-6225	832	36	∈	∈	PROPN
ejpam-6225	832	37	∗	∗	NOUN
ejpam-6225	832	38	−	−	PROPN
ejpam-6225	832	39	psr	psr	PROPN
ejpam-6225	832	40	l1,l2	l1,l2	PROPN
ejpam-6225	832	41	β−	β−	PUNCT
ejpam-6225	833	1	(	(	PUNCT
ejpam-6225	833	2	=)	=)	PROPN
ejpam-6225	833	3	=	=	NOUN
ejpam-6225	833	4	∗	∗	NOUN
ejpam-6225	833	5	−	−	PROPN
ejpam-6225	833	6	psr	psr	PROPN
ejpam-6225	833	7	l1	l1	PROPN
ejpam-6225	833	8	β−(=	β−(=	PROPN
ejpam-6225	833	9	)	)	PUNCT
ejpam-6225	833	10	∪	∪	ADP
ejpam-6225	833	11	∗	∗	NOUN
ejpam-6225	833	12	−	−	PROPN
ejpam-6225	833	13	psr	psr	PROPN
ejpam-6225	833	14	l2	l2	PROPN
ejpam-6225	833	15	β−(=	β−(=	NOUN
ejpam-6225	833	16	)	)	PUNCT
ejpam-6225	833	17	,	,	PUNCT
ejpam-6225	833	18	then	then	ADV
ejpam-6225	833	19	ג	ג	PROPN
ejpam-6225	833	20	∈	∈	PROPN
ejpam-6225	833	21	∗	∗	NOUN
ejpam-6225	833	22	−	−	PROPN
ejpam-6225	833	23	psr	psr	PROPN
ejpam-6225	833	24	l1	l1	PROPN
ejpam-6225	833	25	β−(=	β−(=	PROPN
ejpam-6225	833	26	)	)	PUNCT
ejpam-6225	833	27	or	or	CCONJ
ejpam-6225	833	28	ג	ג	PROPN
ejpam-6225	833	29	∈	∈	PROPN
ejpam-6225	833	30	∗	∗	NOUN
ejpam-6225	833	31	−	−	PROPN
ejpam-6225	833	32	psr	psr	PROPN
ejpam-6225	833	33	l2	l2	PROPN
ejpam-6225	833	34	β−(=	β−(=	NOUN
ejpam-6225	833	35	)	)	PUNCT
ejpam-6225	833	36	.	.	PUNCT
ejpam-6225	834	1	then	then	ADV
ejpam-6225	834	2	,	,	PUNCT
ejpam-6225	834	3	ג	ג	PROPN
ejpam-6225	834	4	∈	∈	PROPN
ejpam-6225	834	5	=	=	SYM
ejpam-6225	834	6	c	c	PROPN
ejpam-6225	834	7	and	and	CCONJ
ejpam-6225	834	8	∃¬ς1	∃¬ς1	VERB
ejpam-6225	834	9	∈	∈	PROPN
ejpam-6225	834	10	℘	℘	PROPN
ejpam-6225	834	11	:	:	PUNCT
ejpam-6225	834	12	ג	ג	PROPN
ejpam-6225	834	13	∈	∈	PROPN
ejpam-6225	834	14	g(¬ς1	g(¬ς1	PROPN
ejpam-6225	834	15	)	)	PUNCT
ejpam-6225	834	16	,	,	PUNCT
ejpam-6225	834	17	and	and	CCONJ
ejpam-6225	834	18	g(¬ς1	g(¬ς1	PROPN
ejpam-6225	834	19	)	)	PUNCT
ejpam-6225	834	20	∩	∩	NOUN
ejpam-6225	834	21	=	=	SYM
ejpam-6225	834	22	∈	∈	PROPN
ejpam-6225	834	23	l1	l1	PROPN
ejpam-6225	834	24	or	or	CCONJ
ejpam-6225	834	25	∃¬ς2	∃¬ς2	ADP
ejpam-6225	834	26	∈	∈	PROPN
ejpam-6225	834	27	℘	℘	PROPN
ejpam-6225	834	28	:	:	PUNCT
ejpam-6225	834	29	ג	ג	PROPN
ejpam-6225	834	30	∈	∈	PROPN
ejpam-6225	834	31	g(¬ς2	g(¬ς2	PROPN
ejpam-6225	834	32	)	)	PUNCT
ejpam-6225	834	33	,	,	PUNCT
ejpam-6225	834	34	and	and	CCONJ
ejpam-6225	834	35	g(¬ς2	g(¬ς2	PROPN
ejpam-6225	834	36	)	)	PUNCT
ejpam-6225	834	37	∩	∩	NOUN
ejpam-6225	834	38	=	=	SYM
ejpam-6225	834	39	∈	∈	PROPN
ejpam-6225	834	40	l2	l2	NOUN
ejpam-6225	834	41	]	]	PUNCT
ejpam-6225	834	42	.	.	PUNCT
ejpam-6225	835	1	since	since	SCONJ
ejpam-6225	835	2	l1	l1	PROPN
ejpam-6225	835	3	,	,	PUNCT
ejpam-6225	835	4	l2	l2	VERB
ejpam-6225	835	5	⊆	⊆	X
ejpam-6225	835	6	<	<	X
ejpam-6225	835	7	l1	l1	PROPN
ejpam-6225	835	8	,	,	PUNCT
ejpam-6225	835	9	l2	l2	NOUN
ejpam-6225	835	10	>	>	PUNCT
ejpam-6225	835	11	.	.	PUNCT
ejpam-6225	836	1	then	then	ADV
ejpam-6225	836	2	,	,	PUNCT
ejpam-6225	836	3	ג	ג	PROPN
ejpam-6225	836	4	∈	∈	PROPN
ejpam-6225	836	5	∗	∗	NOUN
ejpam-6225	836	6	−	−	PROPN
ejpam-6225	836	7	psr	psr	PROPN
ejpam-6225	836	8	<	<	X
ejpam-6225	836	9	l1,l2	l1,l2	PROPN
ejpam-6225	836	10	>	>	X
ejpam-6225	836	11	β−	β−	PROPN
ejpam-6225	837	1	(	(	PUNCT
ejpam-6225	837	2	=)	=)	PROPN
ejpam-6225	837	3	.	.	PUNCT
ejpam-6225	837	4	hence	hence	ADV
ejpam-6225	837	5	,	,	PUNCT
ejpam-6225	837	6	∗	∗	NOUN
ejpam-6225	837	7	−	−	PROPN
ejpam-6225	837	8	psr	psr	PROPN
ejpam-6225	837	9	l1,l2	l1,l2	PROPN
ejpam-6225	837	10	β−	β−	PUNCT
ejpam-6225	838	1	(	(	PUNCT
ejpam-6225	838	2	=)	=)	PROPN
ejpam-6225	838	3	⊆	⊆	NUM
ejpam-6225	838	4	∗	∗	NOUN
ejpam-6225	838	5	−	−	PROPN
ejpam-6225	838	6	psr	psr	PROPN
ejpam-6225	838	7	<	<	X
ejpam-6225	838	8	l1,l2	l1,l2	PROPN
ejpam-6225	838	9	>	>	X
ejpam-6225	838	10	β−	β−	PROPN
ejpam-6225	838	11	(	(	PUNCT
ejpam-6225	838	12	=)	=)	PROPN
ejpam-6225	838	13	.	.	PUNCT
ejpam-6225	838	14	thus	thus	ADV
ejpam-6225	838	15	,	,	PUNCT
ejpam-6225	838	16	∗	∗	NOUN
ejpam-6225	838	17	−	−	PROPN
ejpam-6225	838	18	psr	psr	PROPN
ejpam-6225	838	19	<	<	X
ejpam-6225	838	20	l1,l2	l1,l2	PROPN
ejpam-6225	838	21	>	>	X
ejpam-6225	838	22	β	β	PROPN
ejpam-6225	838	23	(	(	PUNCT
ejpam-6225	838	24	=)	=)	PROPN
ejpam-6225	838	25	v	v	ADP
ejpam-6225	838	26	∗	∗	NOUN
ejpam-6225	838	27	−	−	PROPN
ejpam-6225	839	1	psr	psr	PROPN
ejpam-6225	840	1	l1,l2	l1,l2	PROPN
ejpam-6225	840	2	β	β	PROPN
ejpam-6225	840	3	(	(	PUNCT
ejpam-6225	840	4	=)	=)	PROPN
ejpam-6225	840	5	.	.	PROPN
ejpam-6225	840	6	d.	d.	PROPN
ejpam-6225	840	7	shi	shi	PROPN
ejpam-6225	840	8	et	et	PROPN
ejpam-6225	840	9	al	al	PROPN
ejpam-6225	840	10	.	.	PUNCT
ejpam-6225	840	11	/	/	SYM
ejpam-6225	840	12	eur	eur	PROPN
ejpam-6225	840	13	.	.	PUNCT
ejpam-6225	841	1	j.	j.	PROPN
ejpam-6225	841	2	pure	pure	PROPN
ejpam-6225	841	3	appl	appl	PROPN
ejpam-6225	841	4	.	.	PROPN
ejpam-6225	841	5	math	math	PROPN
ejpam-6225	841	6	,	,	PUNCT
ejpam-6225	841	7	18	18	NUM
ejpam-6225	841	8	(	(	PUNCT
ejpam-6225	841	9	4	4	NUM
ejpam-6225	841	10	)	)	PUNCT
ejpam-6225	841	11	(	(	PUNCT
ejpam-6225	841	12	2025	2025	NUM
ejpam-6225	841	13	)	)	PUNCT
ejpam-6225	841	14	,	,	PUNCT
ejpam-6225	841	15	6225	6225	NUM
ejpam-6225	841	16	23	23	NUM
ejpam-6225	841	17	of	of	ADP
ejpam-6225	841	18	36	36	NUM
ejpam-6225	841	19	(	(	PUNCT
ejpam-6225	841	20	2	2	NUM
ejpam-6225	841	21	)	)	PUNCT
ejpam-6225	841	22	similarly	similarly	ADV
ejpam-6225	841	23	as	as	ADP
ejpam-6225	841	24	part	part	NOUN
ejpam-6225	841	25	(	(	PUNCT
ejpam-6225	841	26	1	1	NUM
ejpam-6225	841	27	)	)	PUNCT
ejpam-6225	841	28	.	.	PUNCT
ejpam-6225	842	1	(	(	PUNCT
ejpam-6225	842	2	3	3	X
ejpam-6225	842	3	)	)	PUNCT
ejpam-6225	842	4	it	it	PRON
ejpam-6225	842	5	is	be	AUX
ejpam-6225	842	6	immediately	immediately	ADV
ejpam-6225	842	7	by	by	ADP
ejpam-6225	842	8	parts	part	NOUN
ejpam-6225	842	9	(	(	PUNCT
ejpam-6225	842	10	1	1	NUM
ejpam-6225	842	11	)	)	PUNCT
ejpam-6225	842	12	,	,	PUNCT
ejpam-6225	842	13	(	(	PUNCT
ejpam-6225	842	14	2	2	NUM
ejpam-6225	842	15	)	)	PUNCT
ejpam-6225	842	16	.	.	PUNCT
ejpam-6225	843	1	proposition	proposition	NOUN
ejpam-6225	843	2	5.2	5.2	NUM
ejpam-6225	843	3	.	.	PUNCT
ejpam-6225	844	1	let	let	VERB
ejpam-6225	844	2	b	b	NOUN
ejpam-6225	844	3	=	=	SYM
ejpam-6225	844	4	(	(	PUNCT
ejpam-6225	844	5	f	f	X
ejpam-6225	844	6	,	,	PUNCT
ejpam-6225	844	7	g	g	NOUN
ejpam-6225	844	8	:	:	PUNCT
ejpam-6225	844	9	℘	℘	PROPN
ejpam-6225	844	10	)	)	PUNCT
ejpam-6225	844	11	∈	∈	PROPN
ejpam-6225	844	12	bssq	bssq	NOUN
ejpam-6225	844	13	and	and	CCONJ
ejpam-6225	844	14	β	β	NOUN
ejpam-6225	844	15	<	<	X
ejpam-6225	844	16	l1,l2	l1,l2	PROPN
ejpam-6225	844	17	>	>	X
ejpam-6225	844	18	=	=	PUNCT
ejpam-6225	845	1	(	(	PUNCT
ejpam-6225	845	2	q	q	ADJ
ejpam-6225	845	3	,	,	PUNCT
ejpam-6225	845	4	(	(	PUNCT
ejpam-6225	845	5	f	f	X
ejpam-6225	845	6	,	,	PUNCT
ejpam-6225	845	7	g	g	NOUN
ejpam-6225	845	8	:	:	PUNCT
ejpam-6225	845	9	℘	℘	PROPN
ejpam-6225	845	10	)	)	PUNCT
ejpam-6225	845	11	,	,	PUNCT
ejpam-6225	845	12	l1	l1	PROPN
ejpam-6225	845	13	,	,	PUNCT
ejpam-6225	845	14	l2	l2	NOUN
ejpam-6225	845	15	)	)	PUNCT
ejpam-6225	845	16	is	be	AUX
ejpam-6225	845	17	the	the	DET
ejpam-6225	845	18	corresponding	corresponding	ADJ
ejpam-6225	845	19	bi	bi	ADJ
ejpam-6225	845	20	-	-	ADJ
ejpam-6225	845	21	ibsa	ibsa	NOUN
ejpam-6225	845	22	-	-	PUNCT
ejpam-6225	845	23	space	space	NOUN
ejpam-6225	845	24	.	.	PUNCT
ejpam-6225	846	1	and	and	CCONJ
ejpam-6225	846	2	=	=	SYM
ejpam-6225	846	3	⊆	⊆	NUM
ejpam-6225	846	4	q.	q.	NOUN
ejpam-6225	846	5	then	then	ADV
ejpam-6225	846	6	,	,	PUNCT
ejpam-6225	846	7	(	(	PUNCT
ejpam-6225	846	8	1	1	X
ejpam-6225	846	9	)	)	PUNCT
ejpam-6225	846	10	∗	∗	NOUN
ejpam-6225	846	11	−	−	PROPN
ejpam-6225	846	12	psr	psr	PROPN
ejpam-6225	846	13	<	<	X
ejpam-6225	846	14	l1,l2	l1,l2	PROPN
ejpam-6225	846	15	>	>	X
ejpam-6225	846	16	β	β	PROPN
ejpam-6225	846	17	(	(	PUNCT
ejpam-6225	846	18	=)	=)	PROPN
ejpam-6225	846	19	v	v	ADP
ejpam-6225	846	20	∗	∗	NOUN
ejpam-6225	846	21	−	−	PROPN
ejpam-6225	846	22	psr	psr	PROPN
ejpam-6225	846	23	l1,l2	l1,l2	PROPN
ejpam-6225	846	24	β	β	PROPN
ejpam-6225	846	25	(	(	PUNCT
ejpam-6225	846	26	=)	=)	PROPN
ejpam-6225	846	27	v	v	ADP
ejpam-6225	846	28	∗	∗	NOUN
ejpam-6225	846	29	−	−	PROPN
ejpam-6225	846	30	psr	psr	PROPN
ejpam-6225	846	31	li	li	PROPN
ejpam-6225	846	32	β	β	X
ejpam-6225	846	33	(=	(=	ADJ
ejpam-6225	846	34	)	)	PUNCT
ejpam-6225	846	35	(=	(=	X
ejpam-6225	846	36	)	)	PUNCT
ejpam-6225	846	37	∀i	∀i	X
ejpam-6225	846	38	∈	∈	NOUN
ejpam-6225	846	39	{	{	PUNCT
ejpam-6225	846	40	1	1	NUM
ejpam-6225	846	41	,	,	PUNCT
ejpam-6225	846	42	2	2	NUM
ejpam-6225	846	43	}	}	PUNCT
ejpam-6225	846	44	.	.	PUNCT
ejpam-6225	847	1	(	(	PUNCT
ejpam-6225	847	2	2	2	X
ejpam-6225	847	3	)	)	PUNCT
ejpam-6225	847	4	∗	∗	NOUN
ejpam-6225	847	5	−	−	PROPN
ejpam-6225	847	6	psrli	psrli	ADJ
ejpam-6225	847	7	β	β	X
ejpam-6225	847	8	(=	(=	NOUN
ejpam-6225	847	9	)	)	PUNCT
ejpam-6225	847	10	(=	(=	X
ejpam-6225	847	11	)	)	PUNCT
ejpam-6225	847	12	v	v	ADP
ejpam-6225	847	13	∗	∗	NOUN
ejpam-6225	847	14	−	−	PROPN
ejpam-6225	847	15	psrl1,l2	psrl1,l2	NOUN
ejpam-6225	847	16	β	β	NOUN
ejpam-6225	847	17	(	(	PUNCT
ejpam-6225	847	18	=)	=)	PROPN
ejpam-6225	847	19	v	v	ADP
ejpam-6225	847	20	∗	∗	NOUN
ejpam-6225	847	21	−	−	PROPN
ejpam-6225	848	1	psr	psr	PROPN
ejpam-6225	849	1	<	<	X
ejpam-6225	849	2	l1,l2	l1,l2	PROPN
ejpam-6225	849	3	>	>	X
ejpam-6225	849	4	β	β	PROPN
ejpam-6225	849	5	(	(	PUNCT
ejpam-6225	849	6	=)	=)	PROPN
ejpam-6225	849	7	∀i	∀i	X
ejpam-6225	849	8	∈	∈	NOUN
ejpam-6225	849	9	{	{	PUNCT
ejpam-6225	849	10	1	1	NUM
ejpam-6225	849	11	,	,	PUNCT
ejpam-6225	849	12	2	2	NUM
ejpam-6225	849	13	}	}	PUNCT
ejpam-6225	849	14	.	.	PUNCT
ejpam-6225	850	1	(	(	PUNCT
ejpam-6225	850	2	3	3	X
ejpam-6225	850	3	)	)	PUNCT
ejpam-6225	850	4	∗	∗	NOUN
ejpam-6225	850	5	−	−	PROPN
ejpam-6225	851	1	bn	bn	INTJ
ejpam-6225	852	1	d	d	X
ejpam-6225	852	2	<	<	X
ejpam-6225	852	3	l1,l2	l1,l2	PROPN
ejpam-6225	852	4	>	>	X
ejpam-6225	852	5	β	β	X
ejpam-6225	852	6	(=	(=	ADJ
ejpam-6225	852	7	)	)	PUNCT
ejpam-6225	852	8	(=	(=	X
ejpam-6225	852	9	)	)	PUNCT
ejpam-6225	852	10	v	v	ADP
ejpam-6225	852	11	∗	∗	NOUN
ejpam-6225	852	12	−	−	ADP
ejpam-6225	852	13	bn	bn	ADP
ejpam-6225	852	14	dl1,l2	dl1,l2	NOUN
ejpam-6225	852	15	β	β	X
ejpam-6225	852	16	(	(	PUNCT
ejpam-6225	852	17	=)	=)	PROPN
ejpam-6225	852	18	v	v	ADP
ejpam-6225	852	19	∗	∗	NOUN
ejpam-6225	852	20	−	−	PROPN
ejpam-6225	852	21	bn	bn	INTJ
ejpam-6225	852	22	dli	dli	PROPN
ejpam-6225	853	1	β	β	X
ejpam-6225	853	2	(	(	PUNCT
ejpam-6225	853	3	=)	=)	PROPN
ejpam-6225	853	4	∀i	∀i	X
ejpam-6225	853	5	∈	∈	NOUN
ejpam-6225	853	6	{	{	PUNCT
ejpam-6225	853	7	1	1	NUM
ejpam-6225	853	8	,	,	PUNCT
ejpam-6225	853	9	2	2	NUM
ejpam-6225	853	10	}	}	PUNCT
ejpam-6225	853	11	.	.	PUNCT
ejpam-6225	854	1	proof	proof	NOUN
ejpam-6225	854	2	.	.	PUNCT
ejpam-6225	855	1	straightforward	straightforward	NOUN
ejpam-6225	855	2	follows	follow	VERB
ejpam-6225	855	3	from	from	ADP
ejpam-6225	855	4	definitions	definition	NOUN
ejpam-6225	855	5	5.2	5.2	NUM
ejpam-6225	855	6	,	,	PUNCT
ejpam-6225	855	7	5.3	5.3	NUM
ejpam-6225	855	8	and	and	CCONJ
ejpam-6225	855	9	theorem	theorem	VERB
ejpam-6225	855	10	5.1	5.1	NUM
ejpam-6225	855	11	.	.	PUNCT
ejpam-6225	856	1	remark	remark	PROPN
ejpam-6225	856	2	5.4	5.4	NUM
ejpam-6225	856	3	.	.	PUNCT
ejpam-6225	856	4	from	from	ADP
ejpam-6225	856	5	theorem	theorem	ADJ
ejpam-6225	856	6	5.1	5.1	NUM
ejpam-6225	856	7	,	,	PUNCT
ejpam-6225	856	8	we	we	PRON
ejpam-6225	856	9	deduce	deduce	VERB
ejpam-6225	856	10	that	that	SCONJ
ejpam-6225	856	11	the	the	DET
ejpam-6225	856	12	bi	bi	ADJ
ejpam-6225	856	13	-	-	ADJ
ejpam-6225	856	14	ideal	ideal	ADJ
ejpam-6225	856	15	bipolar	bipolar	ADJ
ejpam-6225	856	16	soft	soft	ADJ
ejpam-6225	856	17	br	br	NOUN
ejpam-6225	856	18	defined	define	VERB
ejpam-6225	856	19	by	by	ADP
ejpam-6225	856	20	definition	definition	NOUN
ejpam-6225	856	21	5.2	5.2	NUM
ejpam-6225	856	22	is	be	AUX
ejpam-6225	856	23	lower	low	ADJ
ejpam-6225	856	24	than	than	ADP
ejpam-6225	856	25	that	that	DET
ejpam-6225	856	26	bi	bi	ADJ
ejpam-6225	856	27	-	-	ADJ
ejpam-6225	856	28	ideal	ideal	ADJ
ejpam-6225	856	29	bipolar	bipolar	ADJ
ejpam-6225	856	30	soft	soft	ADJ
ejpam-6225	856	31	br	br	NOUN
ejpam-6225	856	32	computed	compute	VERB
ejpam-6225	856	33	by	by	ADP
ejpam-6225	856	34	definition	definition	NOUN
ejpam-6225	856	35	5.3	5.3	NUM
ejpam-6225	856	36	.	.	PUNCT
ejpam-6225	857	1	consequently	consequently	ADV
ejpam-6225	857	2	,	,	PUNCT
ejpam-6225	857	3	a	a	DET
ejpam-6225	857	4	decision	decision	NOUN
ejpam-6225	857	5	made	make	VERB
ejpam-6225	857	6	according	accord	VERB
ejpam-6225	857	7	to	to	ADP
ejpam-6225	857	8	the	the	DET
ejpam-6225	857	9	computations	computation	NOUN
ejpam-6225	857	10	of	of	ADP
ejpam-6225	857	11	the	the	DET
ejpam-6225	857	12	approach	approach	NOUN
ejpam-6225	857	13	in	in	ADP
ejpam-6225	857	14	definition	definition	NOUN
ejpam-6225	857	15	5.2	5.2	NUM
ejpam-6225	857	16	is	be	AUX
ejpam-6225	857	17	more	more	ADV
ejpam-6225	857	18	applicable	applicable	ADJ
ejpam-6225	857	19	than	than	ADP
ejpam-6225	857	20	the	the	DET
ejpam-6225	857	21	approach	approach	NOUN
ejpam-6225	857	22	in	in	ADP
ejpam-6225	857	23	definition	definition	NOUN
ejpam-6225	857	24	5.3	5.3	NUM
ejpam-6225	857	25	.	.	NOUN
ejpam-6225	858	1	6	6	NUM
ejpam-6225	858	2	.	.	X
ejpam-6225	859	1	some	some	DET
ejpam-6225	859	2	important	important	ADJ
ejpam-6225	859	3	measures	measure	NOUN
ejpam-6225	859	4	related	relate	VERB
ejpam-6225	859	5	to	to	ADP
ejpam-6225	859	6	ibsa	ibsa	NOUN
ejpam-6225	859	7	-	-	PUNCT
ejpam-6225	859	8	space	space	NOUN
ejpam-6225	859	9	in	in	ADP
ejpam-6225	859	10	[	[	X
ejpam-6225	859	11	1	1	NUM
ejpam-6225	859	12	]	]	PUNCT
ejpam-6225	859	13	,	,	PUNCT
ejpam-6225	859	14	pawlak	pawlak	PROPN
ejpam-6225	859	15	established	establish	VERB
ejpam-6225	859	16	two	two	NUM
ejpam-6225	859	17	quantitative	quantitative	ADJ
ejpam-6225	859	18	metrics	metric	NOUN
ejpam-6225	859	19	to	to	PART
ejpam-6225	859	20	assess	assess	VERB
ejpam-6225	859	21	the	the	DET
ejpam-6225	859	22	imprecision	imprecision	NOUN
ejpam-6225	859	23	of	of	ADP
ejpam-6225	859	24	rough	rough	ADJ
ejpam-6225	859	25	set	set	NOUN
ejpam-6225	859	26	approximations	approximation	NOUN
ejpam-6225	859	27	.	.	PUNCT
ejpam-6225	860	1	these	these	DET
ejpam-6225	860	2	metrics	metric	NOUN
ejpam-6225	860	3	might	might	AUX
ejpam-6225	860	4	help	help	VERB
ejpam-6225	860	5	determine	determine	VERB
ejpam-6225	860	6	the	the	DET
ejpam-6225	860	7	exact	exact	ADJ
ejpam-6225	860	8	degree	degree	NOUN
ejpam-6225	860	9	to	to	PART
ejpam-6225	860	10	which	which	PRON
ejpam-6225	860	11	the	the	DET
ejpam-6225	860	12	data	data	NOUN
ejpam-6225	860	13	is	be	AUX
ejpam-6225	860	14	associated	associate	VERB
ejpam-6225	860	15	with	with	ADP
ejpam-6225	860	16	a	a	DET
ejpam-6225	860	17	certain	certain	ADJ
ejpam-6225	860	18	equivalence	equivalence	NOUN
ejpam-6225	860	19	relation	relation	NOUN
ejpam-6225	860	20	for	for	ADP
ejpam-6225	860	21	a	a	DET
ejpam-6225	860	22	given	give	VERB
ejpam-6225	860	23	classification	classification	NOUN
ejpam-6225	860	24	.	.	PUNCT
ejpam-6225	861	1	in	in	ADP
ejpam-6225	861	2	general	general	ADJ
ejpam-6225	861	3	,	,	PUNCT
ejpam-6225	861	4	a	a	DET
ejpam-6225	861	5	set	set	NOUN
ejpam-6225	861	6	becomes	become	VERB
ejpam-6225	861	7	unclear	unclear	ADJ
ejpam-6225	861	8	when	when	SCONJ
ejpam-6225	861	9	a	a	DET
ejpam-6225	861	10	br	br	NOUN
ejpam-6225	861	11	exists.a	exists.a	PUNCT
ejpam-6225	861	12	set	set	NOUN
ejpam-6225	861	13	’s	’s	PART
ejpam-6225	861	14	accuracy	accuracy	NOUN
ejpam-6225	861	15	decreases	decrease	VERB
ejpam-6225	861	16	with	with	ADP
ejpam-6225	861	17	increasing	increase	VERB
ejpam-6225	861	18	boundary	boundary	ADJ
ejpam-6225	861	19	area	area	NOUN
ejpam-6225	861	20	size	size	NOUN
ejpam-6225	861	21	.	.	PUNCT
ejpam-6225	862	1	regarding	regard	VERB
ejpam-6225	862	2	to	to	ADP
ejpam-6225	862	3	pawlak	pawlak	ADJ
ejpam-6225	862	4	[	[	X
ejpam-6225	862	5	1	1	NUM
ejpam-6225	862	6	]	]	PUNCT
ejpam-6225	862	7	,	,	PUNCT
ejpam-6225	862	8	the	the	DET
ejpam-6225	862	9	accuracy	accuracy	NOUN
ejpam-6225	862	10	value	value	NOUN
ejpam-6225	862	11	and	and	CCONJ
ejpam-6225	862	12	measures	measure	NOUN
ejpam-6225	862	13	of	of	ADP
ejpam-6225	862	14	roughness	roughness	NOUN
ejpam-6225	862	15	of	of	ADP
ejpam-6225	862	16	=	=	SYM
ejpam-6225	862	17	⊆	⊆	NUM
ejpam-6225	862	18	q	q	NOUN
ejpam-6225	862	19	are	be	AUX
ejpam-6225	862	20	defined	define	VERB
ejpam-6225	862	21	as	as	ADP
ejpam-6225	862	22	acc(=	acc(=	PRON
ejpam-6225	862	23	)	)	PUNCT
ejpam-6225	862	24	=	=	PUNCT
ejpam-6225	862	25	|lower(=)|	|lower(=)|	ADP
ejpam-6225	862	26	|upper(=)|	|upper(=)|	NOUN
ejpam-6225	862	27	,	,	PUNCT
ejpam-6225	862	28	rough(=	rough(=	VERB
ejpam-6225	862	29	)	)	PUNCT
ejpam-6225	862	30	=	=	SYM
ejpam-6225	863	1	1	1	NUM
ejpam-6225	863	2	−	−	NOUN
ejpam-6225	863	3	acc(=	acc(=	PROPN
ejpam-6225	863	4	)	)	PUNCT
ejpam-6225	863	5	.	.	PUNCT
ejpam-6225	864	1	where	where	SCONJ
ejpam-6225	864	2	|•|	|•|	NOUN
ejpam-6225	864	3	denotes	denote	VERB
ejpam-6225	864	4	the	the	DET
ejpam-6225	864	5	order	order	NOUN
ejpam-6225	864	6	of	of	ADP
ejpam-6225	864	7	the	the	DET
ejpam-6225	864	8	set	set	NOUN
ejpam-6225	864	9	.	.	PUNCT
ejpam-6225	865	1	however	however	ADV
ejpam-6225	865	2	,	,	PUNCT
ejpam-6225	865	3	the	the	DET
ejpam-6225	865	4	degree	degree	NOUN
ejpam-6225	865	5	of	of	ADP
ejpam-6225	865	6	completeness	completeness	NOUN
ejpam-6225	865	7	of	of	ADP
ejpam-6225	865	8	the	the	DET
ejpam-6225	865	9	knowledge	knowledge	NOUN
ejpam-6225	865	10	of	of	ADP
ejpam-6225	865	11	a	a	DET
ejpam-6225	865	12	set	set	NOUN
ejpam-6225	865	13	=	=	PUNCT
ejpam-6225	865	14	is	be	AUX
ejpam-6225	865	15	captured	capture	VERB
ejpam-6225	865	16	by	by	ADP
ejpam-6225	865	17	acc(=	acc(=	PROPN
ejpam-6225	865	18	)	)	PUNCT
ejpam-6225	865	19	,	,	PUNCT
ejpam-6225	865	20	whereas	whereas	SCONJ
ejpam-6225	865	21	the	the	DET
ejpam-6225	865	22	degree	degree	NOUN
ejpam-6225	865	23	of	of	ADP
ejpam-6225	865	24	incompleteness	incompleteness	NOUN
ejpam-6225	865	25	of	of	ADP
ejpam-6225	865	26	the	the	DET
ejpam-6225	865	27	knowledge	knowledge	NOUN
ejpam-6225	865	28	of	of	ADP
ejpam-6225	865	29	the	the	DET
ejpam-6225	865	30	set	set	NOUN
ejpam-6225	865	31	=	=	PUNCT
ejpam-6225	865	32	is	be	AUX
ejpam-6225	865	33	perceived	perceive	VERB
ejpam-6225	865	34	by	by	ADP
ejpam-6225	865	35	rough(=	rough(=	NOUN
ejpam-6225	865	36	)	)	PUNCT
ejpam-6225	865	37	.	.	PUNCT
ejpam-6225	866	1	as	as	ADP
ejpam-6225	866	2	a	a	DET
ejpam-6225	866	3	generalization	generalization	NOUN
ejpam-6225	866	4	of	of	ADP
ejpam-6225	866	5	these	these	DET
ejpam-6225	866	6	measures	measure	NOUN
ejpam-6225	866	7	,	,	PUNCT
ejpam-6225	866	8	here	here	ADV
ejpam-6225	866	9	we	we	PRON
ejpam-6225	866	10	propose	propose	VERB
ejpam-6225	866	11	some	some	DET
ejpam-6225	866	12	measures	measure	NOUN
ejpam-6225	866	13	in	in	ADP
ejpam-6225	866	14	the	the	DET
ejpam-6225	866	15	framework	framework	NOUN
ejpam-6225	866	16	of	of	ADP
ejpam-6225	866	17	the	the	DET
ejpam-6225	866	18	ibsa	ibsa	NOUN
ejpam-6225	866	19	-	-	PUNCT
ejpam-6225	866	20	space	space	NOUN
ejpam-6225	866	21	and	and	CCONJ
ejpam-6225	866	22	investigate	investigate	VERB
ejpam-6225	866	23	some	some	PRON
ejpam-6225	866	24	of	of	ADP
ejpam-6225	866	25	its	its	PRON
ejpam-6225	866	26	essential	essential	ADJ
ejpam-6225	866	27	properties	property	NOUN
ejpam-6225	866	28	.	.	PUNCT
ejpam-6225	867	1	definition	definition	NOUN
ejpam-6225	867	2	6.1	6.1	NUM
ejpam-6225	867	3	.	.	PUNCT
ejpam-6225	868	1	let	let	VERB
ejpam-6225	868	2	b	b	NOUN
ejpam-6225	868	3	=	=	SYM
ejpam-6225	868	4	(	(	PUNCT
ejpam-6225	868	5	f	f	X
ejpam-6225	868	6	,	,	PUNCT
ejpam-6225	868	7	g	g	NOUN
ejpam-6225	868	8	:	:	PUNCT
ejpam-6225	868	9	℘	℘	PROPN
ejpam-6225	868	10	)	)	PUNCT
ejpam-6225	868	11	∈	∈	PROPN
ejpam-6225	868	12	bssq	bssq	NOUN
ejpam-6225	868	13	and	and	CCONJ
ejpam-6225	868	14	βl	βl	NOUN
ejpam-6225	868	15	=	=	PUNCT
ejpam-6225	868	16	(	(	PUNCT
ejpam-6225	868	17	q	q	ADJ
ejpam-6225	868	18	,	,	PUNCT
ejpam-6225	868	19	(	(	PUNCT
ejpam-6225	868	20	f	f	X
ejpam-6225	868	21	,	,	PUNCT
ejpam-6225	868	22	g	g	NOUN
ejpam-6225	868	23	:	:	PUNCT
ejpam-6225	868	24	℘	℘	NUM
ejpam-6225	868	25	)	)	PUNCT
ejpam-6225	868	26	,	,	PUNCT
ejpam-6225	868	27	l	l	NOUN
ejpam-6225	868	28	)	)	PUNCT
ejpam-6225	868	29	be	be	AUX
ejpam-6225	868	30	the	the	DET
ejpam-6225	868	31	corresponding	corresponding	ADJ
ejpam-6225	868	32	ibsa	ibsa	NOUN
ejpam-6225	868	33	-	-	PUNCT
ejpam-6225	868	34	space	space	NOUN
ejpam-6225	868	35	.	.	PUNCT
ejpam-6225	869	1	then	then	ADV
ejpam-6225	869	2	,	,	PUNCT
ejpam-6225	869	3	the	the	DET
ejpam-6225	869	4	am	am	NOUN
ejpam-6225	869	5	of	of	ADP
ejpam-6225	869	6	∅	∅	NOUN
ejpam-6225	869	7	6=	6=	PUNCT
ejpam-6225	869	8	=	=	SYM
ejpam-6225	870	1	⊆	⊆	NUM
ejpam-6225	870	2	q	q	NOUN
ejpam-6225	870	3	in	in	ADP
ejpam-6225	870	4	the	the	DET
ejpam-6225	870	5	ibsa	ibsa	NOUN
ejpam-6225	870	6	environment	environment	NOUN
ejpam-6225	870	7	is	be	AUX
ejpam-6225	870	8	given	give	VERB
ejpam-6225	870	9	as	as	SCONJ
ejpam-6225	870	10	follows	follow	VERB
ejpam-6225	870	11	:	:	PUNCT
ejpam-6225	870	12	accl	accl	NOUN
ejpam-6225	870	13	b(=	b(=	NOUN
ejpam-6225	870	14	)	)	PUNCT
ejpam-6225	870	15	=	=	PRON
ejpam-6225	871	1	(	(	PUNCT
ejpam-6225	871	2	=	=	NOUN
ejpam-6225	871	3	l	l	NOUN
ejpam-6225	871	4	β+	β+	PUNCT
ejpam-6225	871	5	,	,	PUNCT
ejpam-6225	871	6	=	=	NOUN
ejpam-6225	871	7	l	l	NOUN
ejpam-6225	871	8	β−	β−	NUM
ejpam-6225	871	9	)	)	PUNCT
ejpam-6225	871	10	,	,	PUNCT
ejpam-6225	871	11	where	where	SCONJ
ejpam-6225	871	12	=	=	NOUN
ejpam-6225	871	13	l	l	NOUN
ejpam-6225	871	14	β+	β+	PUNCT
ejpam-6225	871	15	=	=	SYM
ejpam-6225	871	16	|∗	|∗	X
ejpam-6225	871	17	−	−	PROPN
ejpam-6225	871	18	srl	srl	PROPN
ejpam-6225	871	19	β+(=)|	β+(=)|	PUNCT
ejpam-6225	871	20	|∗	|∗	ADV
ejpam-6225	871	21	−	−	PROPN
ejpam-6225	871	22	sr	sr	PROPN
ejpam-6225	871	23	l	l	NOUN
ejpam-6225	871	24	β+(=)|	β+(=)|	PUNCT
ejpam-6225	871	25	,	,	PUNCT
ejpam-6225	871	26	and	and	CCONJ
ejpam-6225	871	27	=	=	NOUN
ejpam-6225	871	28	l	l	NOUN
ejpam-6225	871	29	β−	β−	PUNCT
ejpam-6225	871	30	=	=	PUNCT
ejpam-6225	872	1	|∗	|∗	NUM
ejpam-6225	872	2	−	−	PROPN
ejpam-6225	872	3	sr	sr	PROPN
ejpam-6225	872	4	l	l	PROPN
ejpam-6225	872	5	β−(=)|	β−(=)|	PROPN
ejpam-6225	872	6	|∗	|∗	X
ejpam-6225	872	7	−	−	PROPN
ejpam-6225	872	8	srl	srl	PROPN
ejpam-6225	872	9	β−(=)|	β−(=)|	NUM
ejpam-6225	872	10	.	.	PUNCT
ejpam-6225	873	1	the	the	DET
ejpam-6225	873	2	measure	measure	NOUN
ejpam-6225	873	3	of	of	ADP
ejpam-6225	873	4	roughness	roughness	NOUN
ejpam-6225	873	5	for	for	ADP
ejpam-6225	873	6	∅	∅	NOUN
ejpam-6225	873	7	6=	6=	PUNCT
ejpam-6225	873	8	=	=	SYM
ejpam-6225	873	9	⊆	⊆	NUM
ejpam-6225	873	10	q	q	NOUN
ejpam-6225	873	11	in	in	ADP
ejpam-6225	873	12	the	the	DET
ejpam-6225	873	13	ibsa	ibsa	NOUN
ejpam-6225	873	14	-	-	PUNCT
ejpam-6225	873	15	space	space	NOUN
ejpam-6225	873	16	is	be	AUX
ejpam-6225	873	17	characterized	characterize	VERB
ejpam-6225	873	18	as	as	SCONJ
ejpam-6225	873	19	follows	follow	VERB
ejpam-6225	873	20	:	:	PUNCT
ejpam-6225	873	21	roughl	roughl	NOUN
ejpam-6225	873	22	b(=	b(=	NOUN
ejpam-6225	873	23	)	)	PUNCT
ejpam-6225	874	1	=	=	PUNCT
ejpam-6225	875	1	(	(	PUNCT
ejpam-6225	875	2	1	1	NUM
ejpam-6225	875	3	,	,	PUNCT
ejpam-6225	875	4	1	1	NUM
ejpam-6225	875	5	)	)	PUNCT
ejpam-6225	875	6	−	−	PROPN
ejpam-6225	876	1	(	(	PUNCT
ejpam-6225	876	2	=	=	NOUN
ejpam-6225	876	3	l	l	NOUN
ejpam-6225	876	4	β+	β+	PUNCT
ejpam-6225	876	5	,	,	PUNCT
ejpam-6225	876	6	=	=	X
ejpam-6225	876	7	l	l	NOUN
ejpam-6225	876	8	β−	β−	PUNCT
ejpam-6225	876	9	)	)	PUNCT
ejpam-6225	877	1	=	=	PUNCT
ejpam-6225	877	2	(	(	PUNCT
ejpam-6225	877	3	1	1	NUM
ejpam-6225	877	4	−	−	NOUN
ejpam-6225	877	5	=	=	NOUN
ejpam-6225	877	6	l	l	NOUN
ejpam-6225	877	7	β+	β+	PUNCT
ejpam-6225	877	8	,	,	PUNCT
ejpam-6225	877	9	1	1	NUM
ejpam-6225	877	10	−	−	NOUN
ejpam-6225	877	11	=	=	NOUN
ejpam-6225	877	12	l	l	NOUN
ejpam-6225	877	13	β−	β−	NUM
ejpam-6225	877	14	)	)	PUNCT
ejpam-6225	877	15	.	.	PUNCT
ejpam-6225	878	1	clearly	clearly	ADV
ejpam-6225	878	2	,	,	PUNCT
ejpam-6225	878	3	0	0	NUM
ejpam-6225	878	4	≤	≤	NUM
ejpam-6225	878	5	=	=	SYM
ejpam-6225	878	6	l	l	NOUN
ejpam-6225	878	7	β+	β+	PUNCT
ejpam-6225	878	8	≤	≤	NUM
ejpam-6225	878	9	1	1	NUM
ejpam-6225	878	10	and	and	CCONJ
ejpam-6225	878	11	0	0	NUM
ejpam-6225	878	12	≤	≤	NUM
ejpam-6225	878	13	=	=	SYM
ejpam-6225	878	14	l	l	NOUN
ejpam-6225	878	15	β−	β−	NOUN
ejpam-6225	878	16	≤	≤	NOUN
ejpam-6225	878	17	1	1	NUM
ejpam-6225	878	18	.	.	PUNCT
ejpam-6225	879	1	d.	d.	PROPN
ejpam-6225	879	2	shi	shi	PROPN
ejpam-6225	879	3	et	et	PROPN
ejpam-6225	879	4	al	al	PROPN
ejpam-6225	879	5	.	.	PUNCT
ejpam-6225	879	6	/	/	SYM
ejpam-6225	879	7	eur	eur	PROPN
ejpam-6225	879	8	.	.	PUNCT
ejpam-6225	880	1	j.	j.	PROPN
ejpam-6225	880	2	pure	pure	PROPN
ejpam-6225	880	3	appl	appl	PROPN
ejpam-6225	880	4	.	.	PROPN
ejpam-6225	880	5	math	math	PROPN
ejpam-6225	880	6	,	,	PUNCT
ejpam-6225	880	7	18	18	NUM
ejpam-6225	880	8	(	(	PUNCT
ejpam-6225	880	9	4	4	NUM
ejpam-6225	880	10	)	)	PUNCT
ejpam-6225	880	11	(	(	PUNCT
ejpam-6225	880	12	2025	2025	NUM
ejpam-6225	880	13	)	)	PUNCT
ejpam-6225	880	14	,	,	PUNCT
ejpam-6225	880	15	6225	6225	NUM
ejpam-6225	880	16	24	24	NUM
ejpam-6225	880	17	of	of	ADP
ejpam-6225	880	18	36	36	NUM
ejpam-6225	880	19	remark	remark	NOUN
ejpam-6225	880	20	6.1	6.1	NUM
ejpam-6225	880	21	.	.	PUNCT
ejpam-6225	881	1	if	if	SCONJ
ejpam-6225	881	2	accl	accl	NOUN
ejpam-6225	881	3	b	b	PROPN
ejpam-6225	881	4	=	=	PUNCT
ejpam-6225	881	5	(	(	PUNCT
ejpam-6225	881	6	=)	=)	PROPN
ejpam-6225	881	7	=	=	SYM
ejpam-6225	881	8	(	(	PUNCT
ejpam-6225	881	9	=	=	NOUN
ejpam-6225	881	10	l	l	NOUN
ejpam-6225	881	11	β+	β+	PUNCT
ejpam-6225	881	12	,	,	PUNCT
ejpam-6225	881	13	=	=	SYM
ejpam-6225	881	14	l	l	NOUN
ejpam-6225	881	15	β−	β−	PUNCT
ejpam-6225	881	16	)	)	PUNCT
ejpam-6225	881	17	is	be	AUX
ejpam-6225	881	18	the	the	DET
ejpam-6225	881	19	accuracy	accuracy	NOUN
ejpam-6225	881	20	of	of	ADP
ejpam-6225	881	21	=	=	PROPN
ejpam-6225	881	22	.	.	PUNCT
ejpam-6225	882	1	then	then	ADV
ejpam-6225	882	2	,	,	PUNCT
ejpam-6225	882	3	(	(	PUNCT
ejpam-6225	882	4	1	1	X
ejpam-6225	882	5	)	)	PUNCT
ejpam-6225	882	6	=	=	NOUN
ejpam-6225	883	1	⊆	⊆	NUM
ejpam-6225	883	2	q	q	NOUN
ejpam-6225	883	3	is	be	AUX
ejpam-6225	883	4	∗−ideal	∗−ideal	PRON
ejpam-6225	883	5	bipolar	bipolar	ADJ
ejpam-6225	883	6	soft	soft	ADJ
ejpam-6225	883	7	βl	βl	ADP
ejpam-6225	883	8	-definable	-definable	ADJ
ejpam-6225	883	9	if	if	SCONJ
ejpam-6225	883	10	and	and	CCONJ
ejpam-6225	883	11	only	only	ADV
ejpam-6225	883	12	if	if	SCONJ
ejpam-6225	883	13	roughl	roughl	NOUN
ejpam-6225	883	14	b	b	PROPN
ejpam-6225	883	15	=	=	PRON
ejpam-6225	883	16	(	(	PUNCT
ejpam-6225	883	17	=)	=)	PROPN
ejpam-6225	883	18	=	=	SYM
ejpam-6225	883	19	(	(	PUNCT
ejpam-6225	883	20	∅	∅	NOUN
ejpam-6225	883	21	,	,	PUNCT
ejpam-6225	883	22	∅	∅	NOUN
ejpam-6225	883	23	)	)	PUNCT
ejpam-6225	883	24	.	.	PUNCT
ejpam-6225	884	1	(	(	PUNCT
ejpam-6225	884	2	2	2	X
ejpam-6225	884	3	)	)	PUNCT
ejpam-6225	884	4	if	if	SCONJ
ejpam-6225	884	5	=	=	NOUN
ejpam-6225	884	6	l	l	NOUN
ejpam-6225	884	7	β+	β+	PUNCT
ejpam-6225	884	8	<	<	X
ejpam-6225	884	9	1	1	NUM
ejpam-6225	884	10	and	and	CCONJ
ejpam-6225	884	11	=	=	NOUN
ejpam-6225	884	12	l	l	NOUN
ejpam-6225	884	13	β−	β−	PUNCT
ejpam-6225	884	14	<	<	X
ejpam-6225	884	15	1	1	NUM
ejpam-6225	884	16	,	,	PUNCT
ejpam-6225	884	17	the	the	DET
ejpam-6225	884	18	set	set	NOUN
ejpam-6225	884	19	=	=	PUNCT
ejpam-6225	884	20	has	have	VERB
ejpam-6225	884	21	some	some	DET
ejpam-6225	884	22	nonempty	nonempty	ADJ
ejpam-6225	884	23	br	br	NOUN
ejpam-6225	884	24	and	and	CCONJ
ejpam-6225	884	25	consequently	consequently	ADV
ejpam-6225	884	26	is	be	AUX
ejpam-6225	884	27	∗−ideal	∗−ideal	PRON
ejpam-6225	884	28	bipolar	bipolar	ADJ
ejpam-6225	884	29	soft	soft	ADJ
ejpam-6225	884	30	βl	βl	ADJ
ejpam-6225	884	31	-rough	-rough	PROPN
ejpam-6225	884	32	.	.	PUNCT
ejpam-6225	885	1	proposition	proposition	NOUN
ejpam-6225	885	2	6.1	6.1	NUM
ejpam-6225	885	3	.	.	PUNCT
ejpam-6225	886	1	let	let	VERB
ejpam-6225	886	2	βl	βl	VERB
ejpam-6225	887	1	=	=	PUNCT
ejpam-6225	888	1	(	(	PUNCT
ejpam-6225	888	2	q	q	ADJ
ejpam-6225	888	3	,	,	PUNCT
ejpam-6225	888	4	(	(	PUNCT
ejpam-6225	888	5	f	f	X
ejpam-6225	888	6	,	,	PUNCT
ejpam-6225	888	7	g	g	NOUN
ejpam-6225	888	8	:	:	PUNCT
ejpam-6225	888	9	℘	℘	NUM
ejpam-6225	888	10	)	)	PUNCT
ejpam-6225	888	11	,	,	PUNCT
ejpam-6225	888	12	l	l	NOUN
ejpam-6225	888	13	)	)	PUNCT
ejpam-6225	888	14	be	be	AUX
ejpam-6225	888	15	ibsa	ibsa	NOUN
ejpam-6225	888	16	-	-	PUNCT
ejpam-6225	888	17	space	space	NOUN
ejpam-6225	888	18	and	and	CCONJ
ejpam-6225	888	19	=	=	NOUN
ejpam-6225	888	20	,	,	PUNCT
ejpam-6225	888	21	ϑ	ϑ	PROPN
ejpam-6225	888	22	⊆	⊆	NUM
ejpam-6225	888	23	q.	q.	NOUN
ejpam-6225	888	24	then	then	ADV
ejpam-6225	888	25	,	,	PUNCT
ejpam-6225	888	26	(	(	PUNCT
ejpam-6225	888	27	1	1	X
ejpam-6225	888	28	)	)	PUNCT
ejpam-6225	888	29	accl	accl	NOUN
ejpam-6225	888	30	b(=	b(=	NOUN
ejpam-6225	888	31	)	)	PUNCT
ejpam-6225	888	32	=	=	SYM
ejpam-6225	889	1	(	(	PUNCT
ejpam-6225	889	2	0	0	NUM
ejpam-6225	889	3	,	,	PUNCT
ejpam-6225	889	4	0	0	NUM
ejpam-6225	889	5	)	)	PUNCT
ejpam-6225	890	1	⇐	⇐	ADJ
ejpam-6225	890	2	⇒	⇒	PROPN
ejpam-6225	890	3	∗	∗	NOUN
ejpam-6225	890	4	−	−	PROPN
ejpam-6225	890	5	srl	srl	PROPN
ejpam-6225	890	6	β+(=	β+(=	NOUN
ejpam-6225	890	7	)	)	PUNCT
ejpam-6225	891	1	=	=	NOUN
ejpam-6225	891	2	∅	∅	NOUN
ejpam-6225	891	3	=	=	NOUN
ejpam-6225	891	4	∗	∗	NOUN
ejpam-6225	891	5	−	−	PROPN
ejpam-6225	891	6	sr	sr	PROPN
ejpam-6225	891	7	l	l	PROPN
ejpam-6225	891	8	β−(=	β−(=	PROPN
ejpam-6225	891	9	)	)	PUNCT
ejpam-6225	891	10	;	;	PUNCT
ejpam-6225	891	11	(	(	PUNCT
ejpam-6225	891	12	2	2	X
ejpam-6225	891	13	)	)	PUNCT
ejpam-6225	891	14	accl	accl	NOUN
ejpam-6225	891	15	b(=	b(=	NOUN
ejpam-6225	891	16	)	)	PUNCT
ejpam-6225	891	17	=	=	PUNCT
ejpam-6225	891	18	(	(	PUNCT
ejpam-6225	891	19	1	1	NUM
ejpam-6225	891	20	,	,	PUNCT
ejpam-6225	891	21	1	1	NUM
ejpam-6225	891	22	)	)	PUNCT
ejpam-6225	891	23	⇐	⇐	ADJ
ejpam-6225	891	24	⇒	⇒	PROPN
ejpam-6225	891	25	∗	∗	NOUN
ejpam-6225	891	26	−	−	PROPN
ejpam-6225	891	27	srl	srl	PROPN
ejpam-6225	891	28	β+(=	β+(=	NOUN
ejpam-6225	891	29	)	)	PUNCT
ejpam-6225	892	1	=	=	NOUN
ejpam-6225	892	2	∗	∗	NOUN
ejpam-6225	892	3	−	−	PROPN
ejpam-6225	892	4	sr	sr	PROPN
ejpam-6225	892	5	l	l	PROPN
ejpam-6225	892	6	β+(=	β+(=	PROPN
ejpam-6225	892	7	)	)	PUNCT
ejpam-6225	892	8	and	and	CCONJ
ejpam-6225	892	9	∗	∗	NOUN
ejpam-6225	892	10	−	−	PROPN
ejpam-6225	893	1	sr	sr	PROPN
ejpam-6225	893	2	l	l	PROPN
ejpam-6225	893	3	β−(=	β−(=	PROPN
ejpam-6225	893	4	)	)	PUNCT
ejpam-6225	893	5	=	=	SYM
ejpam-6225	893	6	∗	∗	NOUN
ejpam-6225	893	7	−	−	PROPN
ejpam-6225	893	8	srl	srl	PROPN
ejpam-6225	893	9	β−(=	β−(=	PROPN
ejpam-6225	893	10	)	)	PUNCT
ejpam-6225	894	1	;	;	PUNCT
ejpam-6225	894	2	(	(	PUNCT
ejpam-6225	894	3	3	3	X
ejpam-6225	894	4	)	)	PUNCT
ejpam-6225	894	5	=	=	PUNCT
ejpam-6225	895	1	⊆	⊆	NUM
ejpam-6225	895	2	ϑ	ϑ	X
ejpam-6225	895	3	=	=	NOUN
ejpam-6225	895	4	⇒	⇒	ADJ
ejpam-6225	895	5	accl	accl	NOUN
ejpam-6225	895	6	b(=	b(=	NOUN
ejpam-6225	895	7	)	)	PUNCT
ejpam-6225	895	8	≤	≤	NUM
ejpam-6225	895	9	accl	accl	NOUN
ejpam-6225	895	10	b(ϑ	b(ϑ	PROPN
ejpam-6225	895	11	)	)	PUNCT
ejpam-6225	895	12	.	.	PUNCT
ejpam-6225	896	1	proof	proof	NOUN
ejpam-6225	896	2	.	.	PUNCT
ejpam-6225	897	1	straightforward	straightforward	ADJ
ejpam-6225	897	2	from	from	ADP
ejpam-6225	897	3	definition	definition	NOUN
ejpam-6225	897	4	6.1	6.1	NUM
ejpam-6225	897	5	.	.	PUNCT
ejpam-6225	898	1	in	in	ADP
ejpam-6225	898	2	2001	2001	NUM
ejpam-6225	898	3	,	,	PUNCT
ejpam-6225	898	4	gediga	gediga	NOUN
ejpam-6225	898	5	and	and	CCONJ
ejpam-6225	898	6	düntsch	düntsch	NOUN
ejpam-6225	898	7	[	[	X
ejpam-6225	898	8	36	36	NUM
ejpam-6225	898	9	]	]	PUNCT
ejpam-6225	898	10	proposed	propose	VERB
ejpam-6225	898	11	a	a	DET
ejpam-6225	898	12	measure	measure	NOUN
ejpam-6225	898	13	of	of	ADP
ejpam-6225	898	14	precision	precision	NOUN
ejpam-6225	898	15	of	of	ADP
ejpam-6225	898	16	the	the	DET
ejpam-6225	898	17	approximation	approximation	NOUN
ejpam-6225	898	18	of	of	ADP
ejpam-6225	898	19	∅	∅	NOUN
ejpam-6225	898	20	6=	6=	PUNCT
ejpam-6225	899	1	=	=	SYM
ejpam-6225	899	2	⊆	⊆	NUM
ejpam-6225	899	3	q	q	NOUN
ejpam-6225	899	4	,	,	PUNCT
ejpam-6225	899	5	which	which	PRON
ejpam-6225	899	6	is	be	AUX
ejpam-6225	899	7	given	give	VERB
ejpam-6225	899	8	by	by	ADP
ejpam-6225	899	9	:	:	PUNCT
ejpam-6225	899	10	p(=	p(=	NOUN
ejpam-6225	899	11	)	)	PUNCT
ejpam-6225	899	12	=	=	PUNCT
ejpam-6225	899	13	|lower(=)|	|lower(=)|	ADP
ejpam-6225	899	14	|=|	|=|	PROPN
ejpam-6225	899	15	.	.	PUNCT
ejpam-6225	900	1	this	this	PRON
ejpam-6225	900	2	is	be	AUX
ejpam-6225	900	3	a	a	DET
ejpam-6225	900	4	relative	relative	ADJ
ejpam-6225	900	5	number	number	NOUN
ejpam-6225	900	6	of	of	ADP
ejpam-6225	900	7	elements	element	NOUN
ejpam-6225	900	8	of	of	ADP
ejpam-6225	900	9	=	=	PUNCT
ejpam-6225	900	10	which	which	PRON
ejpam-6225	900	11	can	can	AUX
ejpam-6225	900	12	be	be	AUX
ejpam-6225	900	13	approximated	approximate	VERB
ejpam-6225	900	14	by	by	ADP
ejpam-6225	900	15	lower	low	ADJ
ejpam-6225	900	16	.	.	PUNCT
ejpam-6225	901	1	it	it	PRON
ejpam-6225	901	2	should	should	AUX
ejpam-6225	901	3	be	be	AUX
ejpam-6225	901	4	noted	note	VERB
ejpam-6225	901	5	that	that	SCONJ
ejpam-6225	901	6	p(=	p(=	NOUN
ejpam-6225	901	7	)	)	PUNCT
ejpam-6225	901	8	needs	need	VERB
ejpam-6225	901	9	a	a	DET
ejpam-6225	901	10	complete	complete	ADJ
ejpam-6225	901	11	knowledge	knowledge	NOUN
ejpam-6225	901	12	of	of	ADP
ejpam-6225	901	13	=	=	NOUN
ejpam-6225	901	14	,	,	PUNCT
ejpam-6225	901	15	while	while	SCONJ
ejpam-6225	901	16	acc(=	acc(=	NOUN
ejpam-6225	901	17	)	)	PUNCT
ejpam-6225	901	18	does	do	AUX
ejpam-6225	901	19	not	not	PART
ejpam-6225	901	20	exist	exist	VERB
ejpam-6225	901	21	.	.	PUNCT
ejpam-6225	902	1	it	it	PRON
ejpam-6225	902	2	could	could	AUX
ejpam-6225	902	3	be	be	AUX
ejpam-6225	902	4	generalized	generalize	VERB
ejpam-6225	902	5	in	in	ADP
ejpam-6225	902	6	the	the	DET
ejpam-6225	902	7	framework	framework	NOUN
ejpam-6225	902	8	of	of	ADP
ejpam-6225	902	9	the	the	DET
ejpam-6225	902	10	ibsa	ibsa	NOUN
ejpam-6225	902	11	-	-	PUNCT
ejpam-6225	902	12	space	space	NOUN
ejpam-6225	902	13	as	as	SCONJ
ejpam-6225	902	14	follow	follow	VERB
ejpam-6225	902	15	:	:	PUNCT
ejpam-6225	902	16	definition	definition	NOUN
ejpam-6225	902	17	6.2	6.2	NUM
ejpam-6225	902	18	.	.	PUNCT
ejpam-6225	903	1	let	let	VERB
ejpam-6225	903	2	b	b	NOUN
ejpam-6225	903	3	=	=	SYM
ejpam-6225	903	4	(	(	PUNCT
ejpam-6225	903	5	f	f	X
ejpam-6225	903	6	,	,	PUNCT
ejpam-6225	903	7	g	g	NOUN
ejpam-6225	903	8	:	:	PUNCT
ejpam-6225	903	9	℘	℘	PROPN
ejpam-6225	903	10	)	)	PUNCT
ejpam-6225	903	11	∈	∈	PROPN
ejpam-6225	903	12	bssq	bssq	NOUN
ejpam-6225	903	13	and	and	CCONJ
ejpam-6225	903	14	βl	βl	NOUN
ejpam-6225	903	15	=	=	PUNCT
ejpam-6225	903	16	(	(	PUNCT
ejpam-6225	903	17	q	q	ADJ
ejpam-6225	903	18	,	,	PUNCT
ejpam-6225	903	19	(	(	PUNCT
ejpam-6225	903	20	f	f	X
ejpam-6225	903	21	,	,	PUNCT
ejpam-6225	903	22	g	g	NOUN
ejpam-6225	903	23	:	:	PUNCT
ejpam-6225	903	24	℘	℘	NUM
ejpam-6225	903	25	)	)	PUNCT
ejpam-6225	903	26	,	,	PUNCT
ejpam-6225	903	27	l	l	NOUN
ejpam-6225	903	28	)	)	PUNCT
ejpam-6225	903	29	be	be	AUX
ejpam-6225	903	30	the	the	DET
ejpam-6225	903	31	corresponding	corresponding	ADJ
ejpam-6225	903	32	ibsa	ibsa	NOUN
ejpam-6225	903	33	-	-	PUNCT
ejpam-6225	903	34	space	space	NOUN
ejpam-6225	903	35	.	.	PUNCT
ejpam-6225	904	1	then	then	ADV
ejpam-6225	904	2	,	,	PUNCT
ejpam-6225	904	3	the	the	DET
ejpam-6225	904	4	precision	precision	NOUN
ejpam-6225	904	5	measure	measure	NOUN
ejpam-6225	904	6	of	of	ADP
ejpam-6225	904	7	∅	∅	NOUN
ejpam-6225	904	8	6=	6=	PUNCT
ejpam-6225	904	9	=	=	SYM
ejpam-6225	904	10	⊆	⊆	NUM
ejpam-6225	904	11	q	q	NOUN
ejpam-6225	904	12	in	in	ADP
ejpam-6225	904	13	the	the	DET
ejpam-6225	904	14	ibsa	ibsa	NOUN
ejpam-6225	904	15	environment	environment	NOUN
ejpam-6225	904	16	is	be	AUX
ejpam-6225	904	17	given	give	VERB
ejpam-6225	904	18	as	as	SCONJ
ejpam-6225	904	19	follows	follow	VERB
ejpam-6225	904	20	:	:	PUNCT
ejpam-6225	904	21	pl	pl	NOUN
ejpam-6225	904	22	b(=	b(=	NOUN
ejpam-6225	904	23	)	)	PUNCT
ejpam-6225	904	24	=	=	PRON
ejpam-6225	905	1	(	(	PUNCT
ejpam-6225	905	2	=	=	NOUN
ejpam-6225	905	3	l	l	NOUN
ejpam-6225	905	4	∗β+	∗β+	NUM
ejpam-6225	905	5	,	,	PUNCT
ejpam-6225	906	1	=	=	NOUN
ejpam-6225	906	2	l	l	NOUN
ejpam-6225	906	3	∗β−	∗β−	NOUN
ejpam-6225	906	4	)	)	PUNCT
ejpam-6225	906	5	,	,	PUNCT
ejpam-6225	906	6	where	where	SCONJ
ejpam-6225	907	1	=	=	NOUN
ejpam-6225	907	2	l	l	NOUN
ejpam-6225	907	3	∗β+	∗β+	NUM
ejpam-6225	907	4	=	=	PUNCT
ejpam-6225	907	5	|∗	|∗	X
ejpam-6225	907	6	−	−	PROPN
ejpam-6225	907	7	srl	srl	PROPN
ejpam-6225	907	8	β+(=)|	β+(=)|	PUNCT
ejpam-6225	907	9	|=|	|=|	PROPN
ejpam-6225	907	10	,	,	PUNCT
ejpam-6225	907	11	and	and	CCONJ
ejpam-6225	907	12	=	=	NOUN
ejpam-6225	907	13	l	l	NOUN
ejpam-6225	907	14	∗β−	∗β−	NOUN
ejpam-6225	907	15	=	=	PUNCT
ejpam-6225	907	16	|∗	|∗	ADV
ejpam-6225	907	17	−	−	PROPN
ejpam-6225	907	18	sr	sr	PROPN
ejpam-6225	907	19	l	l	PROPN
ejpam-6225	907	20	β−(=)|	β−(=)|	PROPN
ejpam-6225	907	21	|=|	|=|	PROPN
ejpam-6225	907	22	.	.	PUNCT
ejpam-6225	908	1	clearly	clearly	ADV
ejpam-6225	908	2	,	,	PUNCT
ejpam-6225	908	3	0	0	NUM
ejpam-6225	908	4	≤	≤	NUM
ejpam-6225	908	5	=	=	PUNCT
ejpam-6225	908	6	l	l	NOUN
ejpam-6225	908	7	∗β+	∗β+	NUM
ejpam-6225	908	8	≤	≤	NUM
ejpam-6225	908	9	1	1	NUM
ejpam-6225	908	10	and	and	CCONJ
ejpam-6225	908	11	0	0	NUM
ejpam-6225	908	12	≤	≤	NUM
ejpam-6225	908	13	=	=	NOUN
ejpam-6225	908	14	l	l	NOUN
ejpam-6225	908	15	∗β−	∗β−	NOUN
ejpam-6225	908	16	≤	≤	NOUN
ejpam-6225	908	17	1	1	NUM
ejpam-6225	908	18	.	.	PUNCT
ejpam-6225	908	19	from	from	ADP
ejpam-6225	908	20	the	the	DET
ejpam-6225	908	21	definition	definition	NOUN
ejpam-6225	908	22	given	give	VERB
ejpam-6225	908	23	above	above	ADV
ejpam-6225	908	24	,	,	PUNCT
ejpam-6225	908	25	we	we	PRON
ejpam-6225	908	26	can	can	AUX
ejpam-6225	908	27	infer	infer	VERB
ejpam-6225	908	28	the	the	DET
ejpam-6225	908	29	following	follow	VERB
ejpam-6225	908	30	properties	property	NOUN
ejpam-6225	908	31	of	of	ADP
ejpam-6225	908	32	pl	pl	PROPN
ejpam-6225	908	33	b	b	PROPN
ejpam-6225	908	34	=	=	SYM
ejpam-6225	908	35	(	(	PUNCT
ejpam-6225	908	36	=)	=)	NOUN
ejpam-6225	908	37	:	:	PUNCT
ejpam-6225	908	38	proposition	proposition	NOUN
ejpam-6225	908	39	6.2	6.2	NUM
ejpam-6225	908	40	.	.	PUNCT
ejpam-6225	909	1	let	let	VERB
ejpam-6225	909	2	βl	βl	VERB
ejpam-6225	910	1	=	=	PUNCT
ejpam-6225	911	1	(	(	PUNCT
ejpam-6225	911	2	q	q	ADJ
ejpam-6225	911	3	,	,	PUNCT
ejpam-6225	911	4	(	(	PUNCT
ejpam-6225	911	5	f	f	X
ejpam-6225	911	6	,	,	PUNCT
ejpam-6225	911	7	g	g	NOUN
ejpam-6225	911	8	:	:	PUNCT
ejpam-6225	911	9	℘	℘	NUM
ejpam-6225	911	10	)	)	PUNCT
ejpam-6225	911	11	,	,	PUNCT
ejpam-6225	911	12	l	l	NOUN
ejpam-6225	911	13	)	)	PUNCT
ejpam-6225	911	14	be	be	AUX
ejpam-6225	911	15	ibsa	ibsa	NOUN
ejpam-6225	911	16	-	-	PUNCT
ejpam-6225	911	17	space	space	NOUN
ejpam-6225	911	18	and	and	CCONJ
ejpam-6225	911	19	=	=	NOUN
ejpam-6225	911	20	,	,	PUNCT
ejpam-6225	911	21	ϑ	ϑ	PROPN
ejpam-6225	911	22	⊆	⊆	NUM
ejpam-6225	911	23	q.	q.	NOUN
ejpam-6225	911	24	then	then	ADV
ejpam-6225	911	25	,	,	PUNCT
ejpam-6225	911	26	(	(	PUNCT
ejpam-6225	911	27	1	1	X
ejpam-6225	911	28	)	)	PUNCT
ejpam-6225	911	29	pl	pl	NOUN
ejpam-6225	911	30	b(=	b(=	NOUN
ejpam-6225	911	31	)	)	PUNCT
ejpam-6225	911	32	=	=	SYM
ejpam-6225	912	1	(	(	PUNCT
ejpam-6225	912	2	0	0	NUM
ejpam-6225	912	3	,	,	PUNCT
ejpam-6225	912	4	0	0	NUM
ejpam-6225	912	5	)	)	PUNCT
ejpam-6225	913	1	⇐	⇐	ADJ
ejpam-6225	913	2	⇒	⇒	PROPN
ejpam-6225	913	3	∗	∗	NOUN
ejpam-6225	913	4	−	−	PROPN
ejpam-6225	913	5	srl	srl	PROPN
ejpam-6225	913	6	β+(=	β+(=	NOUN
ejpam-6225	913	7	)	)	PUNCT
ejpam-6225	914	1	=	=	NOUN
ejpam-6225	914	2	∅	∅	NOUN
ejpam-6225	914	3	=	=	NOUN
ejpam-6225	914	4	∗	∗	NOUN
ejpam-6225	914	5	−	−	PROPN
ejpam-6225	914	6	sr	sr	PROPN
ejpam-6225	914	7	l	l	PROPN
ejpam-6225	914	8	β−(=	β−(=	PROPN
ejpam-6225	914	9	)	)	PUNCT
ejpam-6225	914	10	;	;	PUNCT
ejpam-6225	914	11	(	(	PUNCT
ejpam-6225	914	12	2	2	X
ejpam-6225	914	13	)	)	PUNCT
ejpam-6225	914	14	pl	pl	NOUN
ejpam-6225	914	15	b(=	b(=	NOUN
ejpam-6225	914	16	)	)	PUNCT
ejpam-6225	914	17	=	=	PUNCT
ejpam-6225	914	18	(	(	PUNCT
ejpam-6225	914	19	1	1	NUM
ejpam-6225	914	20	,	,	PUNCT
ejpam-6225	914	21	1	1	NUM
ejpam-6225	914	22	)	)	PUNCT
ejpam-6225	914	23	⇐	⇐	ADJ
ejpam-6225	914	24	⇒	⇒	PROPN
ejpam-6225	914	25	∗	∗	NOUN
ejpam-6225	914	26	−	−	PROPN
ejpam-6225	914	27	srl	srl	PROPN
ejpam-6225	914	28	β+(=	β+(=	NOUN
ejpam-6225	914	29	)	)	PUNCT
ejpam-6225	914	30	=	=	PUNCT
ejpam-6225	915	1	=	=	PUNCT
ejpam-6225	915	2	=	=	NOUN
ejpam-6225	915	3	∗	∗	PROPN
ejpam-6225	915	4	−	−	PROPN
ejpam-6225	916	1	sr	sr	PROPN
ejpam-6225	916	2	l	l	PROPN
ejpam-6225	916	3	β−(=	β−(=	PROPN
ejpam-6225	916	4	)	)	PUNCT
ejpam-6225	917	1	;	;	PUNCT
ejpam-6225	917	2	(	(	PUNCT
ejpam-6225	917	3	3	3	X
ejpam-6225	917	4	)	)	PUNCT
ejpam-6225	917	5	pl	pl	NOUN
ejpam-6225	917	6	b(=	b(=	NOUN
ejpam-6225	917	7	)	)	PUNCT
ejpam-6225	917	8	≥	≥	NOUN
ejpam-6225	917	9	accl	accl	NOUN
ejpam-6225	917	10	b(=	b(=	PROPN
ejpam-6225	917	11	)	)	PUNCT
ejpam-6225	917	12	,	,	PUNCT
ejpam-6225	917	13	that	that	ADV
ejpam-6225	917	14	is	be	AUX
ejpam-6225	917	15	,	,	PUNCT
ejpam-6225	917	16	=	=	SYM
ejpam-6225	917	17	l	l	X
ejpam-6225	917	18	∗β+	∗β+	NUM
ejpam-6225	917	19	≥	≥	NOUN
ejpam-6225	917	20	=	=	X
ejpam-6225	917	21	l	l	NOUN
ejpam-6225	917	22	β+	β+	PUNCT
ejpam-6225	917	23	and	and	CCONJ
ejpam-6225	917	24	=	=	SYM
ejpam-6225	917	25	l	l	NOUN
ejpam-6225	917	26	∗β−	∗β−	NOUN
ejpam-6225	917	27	≥	≥	X
ejpam-6225	917	28	=	=	SYM
ejpam-6225	917	29	l	l	X
ejpam-6225	917	30	β−	β−	NUM
ejpam-6225	917	31	;	;	PUNCT
ejpam-6225	917	32	(	(	PUNCT
ejpam-6225	917	33	4	4	X
ejpam-6225	917	34	)	)	PUNCT
ejpam-6225	917	35	=	=	PUNCT
ejpam-6225	918	1	⊆	⊆	NUM
ejpam-6225	918	2	ϑ	ϑ	X
ejpam-6225	918	3	=	=	NOUN
ejpam-6225	918	4	⇒	⇒	ADJ
ejpam-6225	918	5	accl	accl	NOUN
ejpam-6225	918	6	b(=	b(=	NOUN
ejpam-6225	918	7	)	)	PUNCT
ejpam-6225	918	8	≤	≤	NUM
ejpam-6225	918	9	accl	accl	NOUN
ejpam-6225	918	10	b(ϑ	b(ϑ	PROPN
ejpam-6225	918	11	)	)	PUNCT
ejpam-6225	918	12	.	.	PUNCT
ejpam-6225	919	1	proof	proof	NOUN
ejpam-6225	919	2	.	.	PUNCT
ejpam-6225	920	1	straightforward	straightforward	ADJ
ejpam-6225	920	2	.	.	PUNCT
ejpam-6225	921	1	yao	yao	NOUN
ejpam-6225	922	1	[	[	X
ejpam-6225	922	2	37	37	NUM
ejpam-6225	922	3	]	]	PUNCT
ejpam-6225	922	4	studied	study	VERB
ejpam-6225	922	5	a	a	DET
ejpam-6225	922	6	few	few	ADJ
ejpam-6225	922	7	of	of	ADP
ejpam-6225	922	8	the	the	DET
ejpam-6225	922	9	am	am	NOUN
ejpam-6225	922	10	’s	’s	PART
ejpam-6225	922	11	properties	property	NOUN
ejpam-6225	922	12	provided	provide	VERB
ejpam-6225	922	13	by	by	ADP
ejpam-6225	922	14	pawlak	pawlak	ADJ
ejpam-6225	922	15	[	[	X
ejpam-6225	922	16	1	1	NUM
ejpam-6225	922	17	]	]	PUNCT
ejpam-6225	922	18	and	and	CCONJ
ejpam-6225	922	19	introduced	introduce	VERB
ejpam-6225	922	20	another	another	DET
ejpam-6225	922	21	measure	measure	NOUN
ejpam-6225	922	22	known	know	VERB
ejpam-6225	922	23	as	as	ADP
ejpam-6225	922	24	the	the	DET
ejpam-6225	922	25	measure	measure	NOUN
ejpam-6225	922	26	of	of	ADP
ejpam-6225	922	27	the	the	DET
ejpam-6225	922	28	completeness	completeness	NOUN
ejpam-6225	922	29	of	of	ADP
ejpam-6225	922	30	knowledge	knowledge	NOUN
ejpam-6225	922	31	,	,	PUNCT
ejpam-6225	922	32	given	give	VERB
ejpam-6225	922	33	by	by	ADP
ejpam-6225	922	34	c(=	c(=	NOUN
ejpam-6225	922	35	)	)	PUNCT
ejpam-6225	922	36	=	=	PUNCT
ejpam-6225	923	1	∣∣∣|lower(=	∣∣∣|lower(=	ADJ
ejpam-6225	923	2	)	)	PUNCT
ejpam-6225	923	3	∣∣∣	∣∣∣	NOUN
ejpam-6225	923	4	+	+	NUM
ejpam-6225	923	5	∣∣∣|lower	∣∣∣|lower	X
ejpam-6225	923	6	(=	(=	NOUN
ejpam-6225	923	7	c	c	X
ejpam-6225	923	8	)	)	PUNCT
ejpam-6225	923	9	∣∣∣	∣∣∣	NOUN
ejpam-6225	924	1	|q|	|q|	X
ejpam-6225	924	2	.	.	PUNCT
ejpam-6225	925	1	d.	d.	PROPN
ejpam-6225	925	2	shi	shi	PROPN
ejpam-6225	925	3	et	et	PROPN
ejpam-6225	925	4	al	al	PROPN
ejpam-6225	925	5	.	.	PUNCT
ejpam-6225	925	6	/	/	SYM
ejpam-6225	925	7	eur	eur	PROPN
ejpam-6225	925	8	.	.	PUNCT
ejpam-6225	926	1	j.	j.	PROPN
ejpam-6225	926	2	pure	pure	PROPN
ejpam-6225	926	3	appl	appl	PROPN
ejpam-6225	926	4	.	.	PROPN
ejpam-6225	926	5	math	math	PROPN
ejpam-6225	926	6	,	,	PUNCT
ejpam-6225	926	7	18	18	NUM
ejpam-6225	926	8	(	(	PUNCT
ejpam-6225	926	9	4	4	NUM
ejpam-6225	926	10	)	)	PUNCT
ejpam-6225	926	11	(	(	PUNCT
ejpam-6225	926	12	2025	2025	NUM
ejpam-6225	926	13	)	)	PUNCT
ejpam-6225	926	14	,	,	PUNCT
ejpam-6225	926	15	6225	6225	NUM
ejpam-6225	926	16	25	25	NUM
ejpam-6225	926	17	of	of	ADP
ejpam-6225	926	18	36	36	NUM
ejpam-6225	926	19	definition	definition	NOUN
ejpam-6225	926	20	6.3	6.3	NUM
ejpam-6225	926	21	.	.	PUNCT
ejpam-6225	927	1	let	let	VERB
ejpam-6225	927	2	b	b	NOUN
ejpam-6225	927	3	=	=	SYM
ejpam-6225	927	4	(	(	PUNCT
ejpam-6225	927	5	f	f	X
ejpam-6225	927	6	,	,	PUNCT
ejpam-6225	927	7	g	g	NOUN
ejpam-6225	927	8	:	:	PUNCT
ejpam-6225	927	9	℘	℘	PROPN
ejpam-6225	927	10	)	)	PUNCT
ejpam-6225	927	11	∈	∈	PROPN
ejpam-6225	927	12	bssq	bssq	NOUN
ejpam-6225	927	13	and	and	CCONJ
ejpam-6225	927	14	βl	βl	NOUN
ejpam-6225	927	15	=	=	PUNCT
ejpam-6225	927	16	(	(	PUNCT
ejpam-6225	927	17	q	q	ADJ
ejpam-6225	927	18	,	,	PUNCT
ejpam-6225	927	19	(	(	PUNCT
ejpam-6225	927	20	f	f	X
ejpam-6225	927	21	,	,	PUNCT
ejpam-6225	927	22	g	g	NOUN
ejpam-6225	927	23	:	:	PUNCT
ejpam-6225	927	24	℘	℘	NUM
ejpam-6225	927	25	)	)	PUNCT
ejpam-6225	927	26	,	,	PUNCT
ejpam-6225	927	27	l	l	NOUN
ejpam-6225	927	28	)	)	PUNCT
ejpam-6225	927	29	be	be	AUX
ejpam-6225	927	30	the	the	DET
ejpam-6225	927	31	corresponding	corresponding	ADJ
ejpam-6225	927	32	ibsa	ibsa	NOUN
ejpam-6225	927	33	-	-	PUNCT
ejpam-6225	927	34	space	space	NOUN
ejpam-6225	927	35	.	.	PUNCT
ejpam-6225	928	1	then	then	ADV
ejpam-6225	928	2	,	,	PUNCT
ejpam-6225	928	3	the	the	DET
ejpam-6225	928	4	measure	measure	NOUN
ejpam-6225	928	5	of	of	ADP
ejpam-6225	928	6	the	the	DET
ejpam-6225	928	7	completeness	completeness	NOUN
ejpam-6225	928	8	of	of	ADP
ejpam-6225	928	9	knowledge	knowledge	NOUN
ejpam-6225	928	10	of	of	ADP
ejpam-6225	928	11	∅	∅	NOUN
ejpam-6225	928	12	6=	6=	PUNCT
ejpam-6225	929	1	=	=	SYM
ejpam-6225	929	2	⊆	⊆	NUM
ejpam-6225	929	3	q	q	NOUN
ejpam-6225	929	4	in	in	ADP
ejpam-6225	929	5	the	the	DET
ejpam-6225	929	6	ibsa	ibsa	NOUN
ejpam-6225	929	7	environment	environment	NOUN
ejpam-6225	929	8	is	be	AUX
ejpam-6225	929	9	given	give	VERB
ejpam-6225	929	10	as	as	SCONJ
ejpam-6225	929	11	follows	follow	VERB
ejpam-6225	929	12	:	:	PUNCT
ejpam-6225	929	13	cl	cl	NOUN
ejpam-6225	929	14	b(=	b(=	NOUN
ejpam-6225	929	15	)	)	PUNCT
ejpam-6225	929	16	=	=	PRON
ejpam-6225	930	1	(	(	PUNCT
ejpam-6225	930	2	=	=	SYM
ejpam-6225	930	3	l	l	NOUN
ejpam-6225	930	4	]	]	X
ejpam-6225	930	5	β+	β+	SYM
ejpam-6225	930	6	,	,	PUNCT
ejpam-6225	930	7	=	=	X
ejpam-6225	930	8	l	l	NOUN
ejpam-6225	930	9	]	]	X
ejpam-6225	930	10	β−	β−	NUM
ejpam-6225	930	11	)	)	PUNCT
ejpam-6225	930	12	,	,	PUNCT
ejpam-6225	930	13	where	where	SCONJ
ejpam-6225	930	14	=	=	NOUN
ejpam-6225	930	15	l	l	NOUN
ejpam-6225	930	16	]	]	X
ejpam-6225	930	17	β+	β+	PUNCT
ejpam-6225	930	18	=	=	SYM
ejpam-6225	930	19	|∗	|∗	X
ejpam-6225	930	20	−	−	PROPN
ejpam-6225	930	21	srl	srl	PROPN
ejpam-6225	930	22	β+(=)|	β+(=)|	PUNCT
ejpam-6225	930	23	+	+	CCONJ
ejpam-6225	930	24	|∗	|∗	ADV
ejpam-6225	930	25	−	−	PRON
ejpam-6225	930	26	srl	srl	PROPN
ejpam-6225	930	27	β+(=c)|	β+(=c)|	NOUN
ejpam-6225	930	28	|q|	|q|	X
ejpam-6225	930	29	,	,	PUNCT
ejpam-6225	930	30	and	and	CCONJ
ejpam-6225	930	31	=	=	SYM
ejpam-6225	930	32	l	l	NOUN
ejpam-6225	930	33	]	]	X
ejpam-6225	930	34	β−	β−	PUNCT
ejpam-6225	931	1	=	=	PUNCT
ejpam-6225	931	2	|∗	|∗	NUM
ejpam-6225	931	3	−	−	PROPN
ejpam-6225	931	4	sr	sr	PROPN
ejpam-6225	931	5	l	l	PROPN
ejpam-6225	931	6	β−(=)|	β−(=)|	PUNCT
ejpam-6225	932	1	+	+	CCONJ
ejpam-6225	932	2	|∗	|∗	ADV
ejpam-6225	932	3	−	−	ADP
ejpam-6225	932	4	sr	sr	PROPN
ejpam-6225	932	5	l	l	NOUN
ejpam-6225	932	6	β−(=c)|	β−(=c)|	PRON
ejpam-6225	932	7	|q|	|q|	VERB
ejpam-6225	932	8	.	.	PUNCT
ejpam-6225	933	1	clearly	clearly	ADV
ejpam-6225	933	2	,	,	PUNCT
ejpam-6225	933	3	0	0	PUNCT
ejpam-6225	933	4	<	<	X
ejpam-6225	933	5	=	=	X
ejpam-6225	933	6	l	l	NOUN
ejpam-6225	933	7	]	]	X
ejpam-6225	933	8	β+	β+	PUNCT
ejpam-6225	933	9	<	<	X
ejpam-6225	933	10	1	1	NUM
ejpam-6225	933	11	and	and	CCONJ
ejpam-6225	933	12	0	0	NUM
ejpam-6225	933	13	≤	≤	NUM
ejpam-6225	933	14	=	=	NOUN
ejpam-6225	933	15	l	l	NOUN
ejpam-6225	933	16	]	]	X
ejpam-6225	933	17	β−	β−	SYM
ejpam-6225	933	18	≤	≤	NUM
ejpam-6225	933	19	1	1	NUM
ejpam-6225	933	20	.	.	PUNCT
ejpam-6225	934	1	in	in	ADP
ejpam-6225	934	2	other	other	ADJ
ejpam-6225	934	3	words	word	NOUN
ejpam-6225	934	4	,	,	PUNCT
ejpam-6225	934	5	cl	cl	NOUN
ejpam-6225	934	6	b(=	b(=	NOUN
ejpam-6225	934	7	)	)	PUNCT
ejpam-6225	934	8	can	can	AUX
ejpam-6225	934	9	not	not	PART
ejpam-6225	934	10	be	be	AUX
ejpam-6225	934	11	zero	zero	NUM
ejpam-6225	934	12	for	for	ADP
ejpam-6225	934	13	any	any	DET
ejpam-6225	934	14	=	=	SYM
ejpam-6225	934	15	⊆	⊆	NUM
ejpam-6225	934	16	q.	q.	NOUN
ejpam-6225	934	17	the	the	DET
ejpam-6225	934	18	condition	condition	NOUN
ejpam-6225	934	19	under	under	ADP
ejpam-6225	934	20	which	which	PRON
ejpam-6225	934	21	cl	cl	NOUN
ejpam-6225	934	22	b(=	b(=	NOUN
ejpam-6225	934	23	)	)	PUNCT
ejpam-6225	934	24	reaches	reach	VERB
ejpam-6225	934	25	its	its	PRON
ejpam-6225	934	26	greatest	great	ADJ
ejpam-6225	934	27	value	value	NOUN
ejpam-6225	934	28	is	be	AUX
ejpam-6225	934	29	given	give	VERB
ejpam-6225	934	30	by	by	ADP
ejpam-6225	934	31	the	the	DET
ejpam-6225	934	32	following	follow	VERB
ejpam-6225	934	33	proposition	proposition	NOUN
ejpam-6225	934	34	.	.	PUNCT
ejpam-6225	935	1	proposition	proposition	NOUN
ejpam-6225	935	2	6.3	6.3	NUM
ejpam-6225	935	3	.	.	PUNCT
ejpam-6225	936	1	let	let	VERB
ejpam-6225	936	2	βl	βl	VERB
ejpam-6225	937	1	=	=	PUNCT
ejpam-6225	938	1	(	(	PUNCT
ejpam-6225	938	2	q	q	ADJ
ejpam-6225	938	3	,	,	PUNCT
ejpam-6225	938	4	(	(	PUNCT
ejpam-6225	938	5	f	f	X
ejpam-6225	938	6	,	,	PUNCT
ejpam-6225	938	7	g	g	NOUN
ejpam-6225	938	8	:	:	PUNCT
ejpam-6225	938	9	℘	℘	NUM
ejpam-6225	938	10	)	)	PUNCT
ejpam-6225	938	11	,	,	PUNCT
ejpam-6225	938	12	l	l	NOUN
ejpam-6225	938	13	)	)	PUNCT
ejpam-6225	938	14	be	be	AUX
ejpam-6225	938	15	ibsa	ibsa	NOUN
ejpam-6225	938	16	-	-	PUNCT
ejpam-6225	938	17	space	space	NOUN
ejpam-6225	938	18	and	and	CCONJ
ejpam-6225	938	19	b	b	NOUN
ejpam-6225	939	1	=	=	SYM
ejpam-6225	939	2	(	(	PUNCT
ejpam-6225	939	3	f	f	X
ejpam-6225	939	4	,	,	PUNCT
ejpam-6225	939	5	g	g	NOUN
ejpam-6225	939	6	:	:	PUNCT
ejpam-6225	939	7	℘	℘	PROPN
ejpam-6225	939	8	)	)	PUNCT
ejpam-6225	939	9	∈	∈	PROPN
ejpam-6225	939	10	bssq	bssq	NOUN
ejpam-6225	939	11	be	be	AUX
ejpam-6225	939	12	a	a	DET
ejpam-6225	939	13	full	full	ADJ
ejpam-6225	939	14	bipolar	bipolar	ADJ
ejpam-6225	939	15	soft	soft	ADJ
ejpam-6225	939	16	set	set	NOUN
ejpam-6225	939	17	.	.	PUNCT
ejpam-6225	940	1	then	then	ADV
ejpam-6225	940	2	,	,	PUNCT
ejpam-6225	940	3	cl	cl	NOUN
ejpam-6225	940	4	b(=	b(=	NOUN
ejpam-6225	940	5	)	)	PUNCT
ejpam-6225	940	6	=	=	PUNCT
ejpam-6225	941	1	(	(	PUNCT
ejpam-6225	941	2	1	1	NUM
ejpam-6225	941	3	,	,	PUNCT
ejpam-6225	941	4	1	1	NUM
ejpam-6225	941	5	)	)	PUNCT
ejpam-6225	941	6	whenever	whenever	SCONJ
ejpam-6225	941	7	=	=	SYM
ejpam-6225	941	8	=	=	SYM
ejpam-6225	941	9	∅	∅	NOUN
ejpam-6225	941	10	or	or	CCONJ
ejpam-6225	941	11	=	=	SYM
ejpam-6225	941	12	=	=	SYM
ejpam-6225	941	13	q	q	ADJ
ejpam-6225	941	14	,	,	PUNCT
ejpam-6225	941	15	proof	proof	NOUN
ejpam-6225	941	16	.	.	PUNCT
ejpam-6225	942	1	because	because	SCONJ
ejpam-6225	942	2	b	b	X
ejpam-6225	942	3	=	=	SYM
ejpam-6225	942	4	(	(	PUNCT
ejpam-6225	942	5	f	f	X
ejpam-6225	942	6	,	,	PUNCT
ejpam-6225	942	7	g	g	NOUN
ejpam-6225	942	8	:	:	PUNCT
ejpam-6225	942	9	℘	℘	PROPN
ejpam-6225	942	10	)	)	PUNCT
ejpam-6225	942	11	∈	∈	PROPN
ejpam-6225	942	12	bssq	bssq	NOUN
ejpam-6225	942	13	be	be	AUX
ejpam-6225	942	14	a	a	DET
ejpam-6225	942	15	full	full	ADJ
ejpam-6225	942	16	bipolar	bipolar	ADJ
ejpam-6225	942	17	soft	soft	ADJ
ejpam-6225	942	18	set	set	NOUN
ejpam-6225	942	19	,	,	PUNCT
ejpam-6225	942	20	⋃	⋃	NOUN
ejpam-6225	942	21	e∈℘	e∈℘	ADJ
ejpam-6225	942	22	f(ς	f(ς	PROPN
ejpam-6225	942	23	)	)	PUNCT
ejpam-6225	942	24	=	=	PUNCT
ejpam-6225	943	1	q	q	PUNCT
ejpam-6225	943	2	and⋃	and⋃	ADP
ejpam-6225	943	3	¬ς∈℘	¬ς∈℘	PROPN
ejpam-6225	943	4	g(¬ς	g(¬ς	PROPN
ejpam-6225	943	5	)	)	PUNCT
ejpam-6225	944	1	=	=	PUNCT
ejpam-6225	944	2	q.	q.	NOUN
ejpam-6225	944	3	we	we	PRON
ejpam-6225	944	4	now	now	ADV
ejpam-6225	944	5	demonstrate	demonstrate	VERB
ejpam-6225	944	6	the	the	DET
ejpam-6225	944	7	necessary	necessary	ADJ
ejpam-6225	944	8	result	result	NOUN
ejpam-6225	944	9	for	for	ADP
ejpam-6225	944	10	the	the	DET
ejpam-6225	944	11	two	two	NUM
ejpam-6225	944	12	cases	case	NOUN
ejpam-6225	944	13	.	.	PUNCT
ejpam-6225	945	1	case	case	NOUN
ejpam-6225	945	2	1	1	NUM
ejpam-6225	945	3	:	:	PUNCT
ejpam-6225	945	4	when	when	SCONJ
ejpam-6225	945	5	=	=	PUNCT
ejpam-6225	945	6	=	=	PUNCT
ejpam-6225	945	7	∅.	∅.	NOUN
ejpam-6225	945	8	then	then	ADV
ejpam-6225	945	9	,	,	PUNCT
ejpam-6225	945	10	=	=	NOUN
ejpam-6225	945	11	l	l	NOUN
ejpam-6225	945	12	]	]	X
ejpam-6225	945	13	β+	β+	PUNCT
ejpam-6225	946	1	=	=	X
ejpam-6225	946	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	946	3	−	−	PROPN
ejpam-6225	946	4	srl	srl	PROPN
ejpam-6225	946	5	β+(∅	β+(∅	NOUN
ejpam-6225	946	6	)	)	PUNCT
ejpam-6225	946	7	∣∣∣	∣∣∣	NOUN
ejpam-6225	947	1	+	+	CCONJ
ejpam-6225	947	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	947	3	−	−	PROPN
ejpam-6225	947	4	srl	srl	PROPN
ejpam-6225	947	5	β+	β+	PUNCT
ejpam-6225	947	6	(	(	PUNCT
ejpam-6225	947	7	∅c	∅c	PROPN
ejpam-6225	947	8	)	)	PUNCT
ejpam-6225	947	9	∣∣∣	∣∣∣	NOUN
ejpam-6225	947	10	|q|	|q|	X
ejpam-6225	947	11	=	=	SYM
ejpam-6225	947	12	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	947	13	−	−	PROPN
ejpam-6225	947	14	srl	srl	PROPN
ejpam-6225	947	15	β+(∅	β+(∅	NOUN
ejpam-6225	947	16	)	)	PUNCT
ejpam-6225	947	17	∣∣∣	∣∣∣	NOUN
ejpam-6225	948	1	+	+	CCONJ
ejpam-6225	948	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	948	3	−	−	PROPN
ejpam-6225	948	4	srl	srl	NOUN
ejpam-6225	948	5	β+(q	β+(q	NOUN
ejpam-6225	948	6	)	)	PUNCT
ejpam-6225	948	7	∣∣∣	∣∣∣	NOUN
ejpam-6225	948	8	|q|	|q|	X
ejpam-6225	948	9	=	=	SYM
ejpam-6225	948	10	|∅|	|∅|	PROPN
ejpam-6225	949	1	+	+	CCONJ
ejpam-6225	949	2	|q|	|q|	PRON
ejpam-6225	949	3	|q|	|q|	VERB
ejpam-6225	949	4	=	=	SYM
ejpam-6225	949	5	1	1	NUM
ejpam-6225	949	6	.	.	PUNCT
ejpam-6225	949	7	similarly	similarly	ADV
ejpam-6225	949	8	,	,	PUNCT
ejpam-6225	949	9	=	=	NOUN
ejpam-6225	949	10	l	l	NOUN
ejpam-6225	949	11	]	]	PUNCT
ejpam-6225	949	12	β−	β−	PUNCT
ejpam-6225	950	1	=	=	PUNCT
ejpam-6225	950	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	950	3	−	−	PROPN
ejpam-6225	950	4	sr	sr	PROPN
ejpam-6225	950	5	l	l	PROPN
ejpam-6225	950	6	β−(∅	β−(∅	PUNCT
ejpam-6225	950	7	)	)	PUNCT
ejpam-6225	950	8	∣∣∣	∣∣∣	NOUN
ejpam-6225	951	1	+	+	CCONJ
ejpam-6225	951	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	951	3	−	−	PROPN
ejpam-6225	951	4	sr	sr	PROPN
ejpam-6225	951	5	l	l	PROPN
ejpam-6225	951	6	β−	β−	PROPN
ejpam-6225	952	1	(	(	PUNCT
ejpam-6225	952	2	∅c	∅c	PROPN
ejpam-6225	952	3	)	)	PUNCT
ejpam-6225	952	4	∣∣∣	∣∣∣	NOUN
ejpam-6225	952	5	|q|	|q|	X
ejpam-6225	952	6	=	=	SYM
ejpam-6225	952	7	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	952	8	−	−	PROPN
ejpam-6225	952	9	sr	sr	PROPN
ejpam-6225	952	10	l	l	PROPN
ejpam-6225	952	11	β−(∅	β−(∅	PUNCT
ejpam-6225	952	12	)	)	PUNCT
ejpam-6225	952	13	∣∣∣	∣∣∣	NOUN
ejpam-6225	953	1	+	+	CCONJ
ejpam-6225	953	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	953	3	−	−	PROPN
ejpam-6225	953	4	sr	sr	PROPN
ejpam-6225	953	5	l	l	PROPN
ejpam-6225	953	6	β−(q	β−(q	PROPN
ejpam-6225	953	7	)	)	PUNCT
ejpam-6225	953	8	∣∣∣	∣∣∣	NOUN
ejpam-6225	953	9	|q|	|q|	X
ejpam-6225	953	10	=	=	SYM
ejpam-6225	953	11	|q|	|q|	NUM
ejpam-6225	953	12	+	+	CCONJ
ejpam-6225	953	13	|∅|	|∅|	NUM
ejpam-6225	953	14	|q|	|q|	X
ejpam-6225	953	15	=	=	SYM
ejpam-6225	953	16	1	1	NUM
ejpam-6225	953	17	.	.	PUNCT
ejpam-6225	954	1	therefore	therefore	ADV
ejpam-6225	954	2	,	,	PUNCT
ejpam-6225	954	3	cl	cl	NOUN
ejpam-6225	954	4	b(=	b(=	NOUN
ejpam-6225	954	5	)	)	PUNCT
ejpam-6225	954	6	=	=	PRON
ejpam-6225	955	1	(	(	PUNCT
ejpam-6225	955	2	=	=	SYM
ejpam-6225	955	3	l	l	NOUN
ejpam-6225	955	4	]	]	X
ejpam-6225	955	5	β+	β+	SYM
ejpam-6225	955	6	,	,	PUNCT
ejpam-6225	955	7	=	=	X
ejpam-6225	955	8	l	l	NOUN
ejpam-6225	955	9	]	]	X
ejpam-6225	955	10	β−	β−	PUNCT
ejpam-6225	955	11	)	)	PUNCT
ejpam-6225	956	1	=	=	PUNCT
ejpam-6225	956	2	(	(	PUNCT
ejpam-6225	956	3	1	1	NUM
ejpam-6225	956	4	,	,	PUNCT
ejpam-6225	956	5	1	1	NUM
ejpam-6225	956	6	)	)	PUNCT
ejpam-6225	956	7	.	.	PUNCT
ejpam-6225	957	1	case	case	NOUN
ejpam-6225	957	2	2	2	NUM
ejpam-6225	957	3	:	:	PUNCT
ejpam-6225	958	1	when	when	SCONJ
ejpam-6225	958	2	=	=	PUNCT
ejpam-6225	958	3	=	=	PUNCT
ejpam-6225	958	4	q	q	ADJ
ejpam-6225	958	5	,	,	PUNCT
ejpam-6225	958	6	then	then	ADV
ejpam-6225	958	7	=	=	NOUN
ejpam-6225	958	8	l	l	NOUN
ejpam-6225	958	9	]	]	X
ejpam-6225	958	10	β+	β+	PUNCT
ejpam-6225	959	1	=	=	X
ejpam-6225	959	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	959	3	−	−	PROPN
ejpam-6225	959	4	srl	srl	PROPN
ejpam-6225	959	5	β+(q	β+(q	NOUN
ejpam-6225	959	6	)	)	PUNCT
ejpam-6225	959	7	∣∣∣	∣∣∣	NOUN
ejpam-6225	959	8	+	+	NUM
ejpam-6225	959	9	∗	∗	NOUN
ejpam-6225	959	10	−	−	PROPN
ejpam-6225	959	11	srl	srl	PROPN
ejpam-6225	959	12	β+	β+	PUNCT
ejpam-6225	959	13	(	(	PUNCT
ejpam-6225	959	14	qc	qc	PROPN
ejpam-6225	959	15	)	)	PUNCT
ejpam-6225	959	16	|	|	ADV
ejpam-6225	959	17	|q|	|q|	X
ejpam-6225	959	18	=	=	PUNCT
ejpam-6225	959	19	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	959	20	−	−	PROPN
ejpam-6225	959	21	srl	srl	PROPN
ejpam-6225	959	22	β+(q	β+(q	NOUN
ejpam-6225	959	23	)	)	PUNCT
ejpam-6225	959	24	∣∣∣	∣∣∣	NOUN
ejpam-6225	960	1	+	+	CCONJ
ejpam-6225	960	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	960	3	−	−	PROPN
ejpam-6225	960	4	srl	srl	PROPN
ejpam-6225	960	5	β+(∅	β+(∅	NOUN
ejpam-6225	960	6	)	)	PUNCT
ejpam-6225	960	7	∣∣∣	∣∣∣	NOUN
ejpam-6225	960	8	|q|	|q|	X
ejpam-6225	960	9	=	=	SYM
ejpam-6225	960	10	|q|	|q|	NUM
ejpam-6225	960	11	+	+	CCONJ
ejpam-6225	960	12	|∅|	|∅|	NUM
ejpam-6225	960	13	|q|	|q|	X
ejpam-6225	960	14	=	=	SYM
ejpam-6225	960	15	1	1	NUM
ejpam-6225	960	16	.	.	PUNCT
ejpam-6225	961	1	also	also	ADV
ejpam-6225	961	2	,	,	PUNCT
ejpam-6225	961	3	=	=	NOUN
ejpam-6225	961	4	l	l	NOUN
ejpam-6225	961	5	]	]	PUNCT
ejpam-6225	961	6	β−	β−	PUNCT
ejpam-6225	962	1	=	=	PUNCT
ejpam-6225	962	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	962	3	−	−	PROPN
ejpam-6225	962	4	sr	sr	PROPN
ejpam-6225	962	5	l	l	PROPN
ejpam-6225	962	6	β−(q	β−(q	PROPN
ejpam-6225	962	7	)	)	PUNCT
ejpam-6225	962	8	∣∣∣	∣∣∣	NOUN
ejpam-6225	963	1	+	+	CCONJ
ejpam-6225	963	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	963	3	−	−	PROPN
ejpam-6225	963	4	sr	sr	PROPN
ejpam-6225	963	5	l	l	PROPN
ejpam-6225	963	6	β−	β−	PROPN
ejpam-6225	963	7	(	(	PUNCT
ejpam-6225	963	8	qc	qc	PROPN
ejpam-6225	963	9	)	)	PUNCT
ejpam-6225	963	10	∣∣∣	∣∣∣	NOUN
ejpam-6225	963	11	|q|	|q|	X
ejpam-6225	963	12	=	=	SYM
ejpam-6225	963	13	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	963	14	−	−	PROPN
ejpam-6225	963	15	sr	sr	PROPN
ejpam-6225	963	16	l	l	PROPN
ejpam-6225	963	17	β−(q	β−(q	PROPN
ejpam-6225	963	18	)	)	PUNCT
ejpam-6225	963	19	∣∣∣	∣∣∣	NOUN
ejpam-6225	964	1	+	+	CCONJ
ejpam-6225	964	2	∣∣∣∗	∣∣∣∗	PROPN
ejpam-6225	964	3	−	−	PROPN
ejpam-6225	964	4	sr	sr	PROPN
ejpam-6225	964	5	l	l	PROPN
ejpam-6225	964	6	β−(∅	β−(∅	PUNCT
ejpam-6225	964	7	)	)	PUNCT
ejpam-6225	964	8	∣∣∣	∣∣∣	NOUN
ejpam-6225	964	9	|q|	|q|	X
ejpam-6225	964	10	=	=	SYM
ejpam-6225	964	11	|∅|	|∅|	PROPN
ejpam-6225	965	1	+	+	CCONJ
ejpam-6225	965	2	|q|	|q|	PRON
ejpam-6225	965	3	|q|	|q|	VERB
ejpam-6225	965	4	=	=	SYM
ejpam-6225	965	5	1	1	NUM
ejpam-6225	965	6	.	.	PUNCT
ejpam-6225	966	1	consequently	consequently	ADV
ejpam-6225	966	2	,	,	PUNCT
ejpam-6225	966	3	cl	cl	NOUN
ejpam-6225	966	4	b(=	b(=	NOUN
ejpam-6225	966	5	)	)	PUNCT
ejpam-6225	966	6	=	=	PRON
ejpam-6225	967	1	(	(	PUNCT
ejpam-6225	967	2	=	=	SYM
ejpam-6225	967	3	l	l	NOUN
ejpam-6225	967	4	]	]	X
ejpam-6225	967	5	β+	β+	SYM
ejpam-6225	967	6	,	,	PUNCT
ejpam-6225	967	7	=	=	X
ejpam-6225	967	8	l	l	NOUN
ejpam-6225	967	9	]	]	X
ejpam-6225	967	10	β−	β−	PUNCT
ejpam-6225	967	11	)	)	PUNCT
ejpam-6225	968	1	=	=	PUNCT
ejpam-6225	968	2	(	(	PUNCT
ejpam-6225	968	3	1	1	NUM
ejpam-6225	968	4	,	,	PUNCT
ejpam-6225	968	5	1	1	NUM
ejpam-6225	968	6	)	)	PUNCT
ejpam-6225	968	7	.	.	PUNCT
ejpam-6225	969	1	hence	hence	ADV
ejpam-6225	969	2	,	,	PUNCT
ejpam-6225	969	3	in	in	ADP
ejpam-6225	969	4	both	both	PRON
ejpam-6225	969	5	of	of	ADP
ejpam-6225	969	6	cases	case	NOUN
ejpam-6225	969	7	we	we	PRON
ejpam-6225	969	8	have	have	VERB
ejpam-6225	969	9	cl	cl	NOUN
ejpam-6225	969	10	b(=	b(=	NOUN
ejpam-6225	969	11	)	)	PUNCT
ejpam-6225	969	12	=	=	PUNCT
ejpam-6225	970	1	(	(	PUNCT
ejpam-6225	970	2	1	1	NUM
ejpam-6225	970	3	,	,	PUNCT
ejpam-6225	970	4	1	1	NUM
ejpam-6225	970	5	)	)	PUNCT
ejpam-6225	970	6	.	.	PUNCT
ejpam-6225	971	1	to	to	PART
ejpam-6225	971	2	clarify	clarify	VERB
ejpam-6225	971	3	the	the	DET
ejpam-6225	971	4	concepts	concept	NOUN
ejpam-6225	971	5	of	of	ADP
ejpam-6225	971	6	accl	accl	NOUN
ejpam-6225	971	7	b(=	b(=	NOUN
ejpam-6225	971	8	)	)	PUNCT
ejpam-6225	971	9	,	,	PUNCT
ejpam-6225	971	10	pl	pl	NOUN
ejpam-6225	971	11	b(=	b(=	NOUN
ejpam-6225	971	12	)	)	PUNCT
ejpam-6225	971	13	and	and	CCONJ
ejpam-6225	971	14	cl	cl	NOUN
ejpam-6225	971	15	b(=	b(=	NOUN
ejpam-6225	971	16	)	)	PUNCT
ejpam-6225	971	17	,	,	PUNCT
ejpam-6225	971	18	we	we	PRON
ejpam-6225	971	19	expand	expand	VERB
ejpam-6225	971	20	on	on	ADP
ejpam-6225	971	21	the	the	DET
ejpam-6225	971	22	following	follow	VERB
ejpam-6225	971	23	examples	example	NOUN
ejpam-6225	971	24	below	below	ADV
ejpam-6225	971	25	.	.	PUNCT
ejpam-6225	972	1	d.	d.	PROPN
ejpam-6225	972	2	shi	shi	PROPN
ejpam-6225	972	3	et	et	PROPN
ejpam-6225	972	4	al	al	PROPN
ejpam-6225	972	5	.	.	PUNCT
ejpam-6225	972	6	/	/	SYM
ejpam-6225	972	7	eur	eur	PROPN
ejpam-6225	972	8	.	.	PUNCT
ejpam-6225	973	1	j.	j.	PROPN
ejpam-6225	973	2	pure	pure	PROPN
ejpam-6225	973	3	appl	appl	PROPN
ejpam-6225	973	4	.	.	PROPN
ejpam-6225	973	5	math	math	PROPN
ejpam-6225	973	6	,	,	PUNCT
ejpam-6225	973	7	18	18	NUM
ejpam-6225	973	8	(	(	PUNCT
ejpam-6225	973	9	4	4	NUM
ejpam-6225	973	10	)	)	PUNCT
ejpam-6225	973	11	(	(	PUNCT
ejpam-6225	973	12	2025	2025	NUM
ejpam-6225	973	13	)	)	PUNCT
ejpam-6225	973	14	,	,	PUNCT
ejpam-6225	973	15	6225	6225	NUM
ejpam-6225	973	16	26	26	NUM
ejpam-6225	973	17	of	of	ADP
ejpam-6225	973	18	36	36	NUM
ejpam-6225	973	19	example	example	NOUN
ejpam-6225	973	20	6.1	6.1	NUM
ejpam-6225	973	21	.	.	PUNCT
ejpam-6225	974	1	(	(	PUNCT
ejpam-6225	974	2	continued	continue	VERB
ejpam-6225	974	3	from	from	ADP
ejpam-6225	974	4	example	example	NOUN
ejpam-6225	974	5	3.1	3.1	NUM
ejpam-6225	974	6	)	)	PUNCT
ejpam-6225	974	7	the	the	DET
ejpam-6225	974	8	∗−ideal	∗−ideal	ADJ
ejpam-6225	974	9	bipolar	bipolar	ADJ
ejpam-6225	974	10	sas	sa	NOUN
ejpam-6225	974	11	of	of	ADP
ejpam-6225	974	12	=	=	SYM
ejpam-6225	974	13	=	=	NOUN
ejpam-6225	974	14	,	,	PUNCT
ejpam-6225	974	15	3ג	3ג	NOUN
ejpam-6225	974	16	}	}	PUNCT
ejpam-6225	974	17	,	,	PUNCT
ejpam-6225	974	18	4ג	4ג	NOUN
ejpam-6225	974	19	{	{	PUNCT
ejpam-6225	974	20	5ג	5ג	NOUN
ejpam-6225	974	21	⊆	⊆	NUM
ejpam-6225	974	22	q	q	NOUN
ejpam-6225	974	23	=	=	X
ejpam-6225	974	24	,	,	PUNCT
ejpam-6225	974	25	1ג	1ג	NUM
ejpam-6225	974	26	}	}	PUNCT
ejpam-6225	974	27	,	,	PUNCT
ejpam-6225	974	28	2ג	2ג	NUM
ejpam-6225	974	29	,	,	PUNCT
ejpam-6225	974	30	3ג	3ג	NUM
ejpam-6225	974	31	,	,	PUNCT
ejpam-6225	974	32	4ג	4ג	NOUN
ejpam-6225	974	33	,	,	PUNCT
ejpam-6225	974	34	5ג	5ג	NOUN
ejpam-6225	974	35	{	{	PUNCT
ejpam-6225	974	36	6ג	6ג	NUM
ejpam-6225	974	37	are	be	AUX
ejpam-6225	974	38	as	as	SCONJ
ejpam-6225	974	39	follows	follow	VERB
ejpam-6225	974	40	:	:	PUNCT
ejpam-6225	974	41	∗	∗	NOUN
ejpam-6225	974	42	−	−	PROPN
ejpam-6225	974	43	srl	srl	PROPN
ejpam-6225	974	44	β+(=	β+(=	NOUN
ejpam-6225	974	45	)	)	PUNCT
ejpam-6225	975	1	=	=	SYM
ejpam-6225	976	1	=	=	NOUN
ejpam-6225	976	2	∩	∩	X
ejpam-6225	976	3	srl	srl	PROPN
ejpam-6225	976	4	β+(=	β+(=	NOUN
ejpam-6225	976	5	)	)	PUNCT
ejpam-6225	976	6	=	=	NOUN
ejpam-6225	976	7	,	,	PUNCT
ejpam-6225	976	8	3ג	3ג	NOUN
ejpam-6225	976	9	}	}	PUNCT
ejpam-6225	976	10	{	{	PUNCT
ejpam-6225	976	11	4ג	4ג	NOUN
ejpam-6225	976	12	,	,	PUNCT
ejpam-6225	976	13	∗	∗	NOUN
ejpam-6225	976	14	−	−	PROPN
ejpam-6225	976	15	sr	sr	PROPN
ejpam-6225	976	16	l	l	PROPN
ejpam-6225	976	17	β+(=	β+(=	PROPN
ejpam-6225	976	18	)	)	PUNCT
ejpam-6225	977	1	=	=	NOUN
ejpam-6225	977	2	=	=	PUNCT
ejpam-6225	977	3	∪	∪	X
ejpam-6225	977	4	sr	sr	PROPN
ejpam-6225	977	5	l	l	PROPN
ejpam-6225	977	6	β+(=	β+(=	PROPN
ejpam-6225	977	7	)	)	PUNCT
ejpam-6225	977	8	=	=	SYM
ejpam-6225	977	9	,	,	PUNCT
ejpam-6225	977	10	2ג	2ג	NUM
ejpam-6225	977	11	}	}	PUNCT
ejpam-6225	977	12	,	,	PUNCT
ejpam-6225	977	13	3ג	3ג	NUM
ejpam-6225	977	14	{	{	PUNCT
ejpam-6225	977	15	5ג.4ג	5ג.4ג	NUM
ejpam-6225	977	16	,	,	PUNCT
ejpam-6225	977	17	∗	∗	NOUN
ejpam-6225	977	18	−	−	PROPN
ejpam-6225	977	19	sr	sr	PROPN
ejpam-6225	977	20	l	l	PROPN
ejpam-6225	977	21	β−(=	β−(=	PROPN
ejpam-6225	977	22	)	)	PUNCT
ejpam-6225	977	23	=	=	PUNCT
ejpam-6225	978	1	=	=	SYM
ejpam-6225	978	2	c	c	X
ejpam-6225	978	3	∩	∩	X
ejpam-6225	978	4	sr	sr	PROPN
ejpam-6225	978	5	l	l	PROPN
ejpam-6225	978	6	β−(=	β−(=	PROPN
ejpam-6225	978	7	)	)	PUNCT
ejpam-6225	978	8	=	=	SYM
ejpam-6225	978	9	,	,	PUNCT
ejpam-6225	978	10	2ג	2ג	NUM
ejpam-6225	978	11	}	}	PUNCT
ejpam-6225	978	12	{	{	PUNCT
ejpam-6225	978	13	6ג	6ג	NUM
ejpam-6225	978	14	,	,	PUNCT
ejpam-6225	978	15	∗	∗	NOUN
ejpam-6225	978	16	−	−	PROPN
ejpam-6225	978	17	srl	srl	PROPN
ejpam-6225	978	18	β−(=	β−(=	PROPN
ejpam-6225	978	19	)	)	PUNCT
ejpam-6225	978	20	=	=	PUNCT
ejpam-6225	979	1	=	=	NOUN
ejpam-6225	979	2	c	c	NOUN
ejpam-6225	979	3	∪	∪	VERB
ejpam-6225	979	4	srl	srl	PROPN
ejpam-6225	979	5	β−(=	β−(=	PROPN
ejpam-6225	979	6	)	)	PUNCT
ejpam-6225	979	7	=	=	SYM
ejpam-6225	979	8	,	,	PUNCT
ejpam-6225	979	9	1ג	1ג	NUM
ejpam-6225	979	10	}	}	PUNCT
ejpam-6225	979	11	,	,	PUNCT
ejpam-6225	979	12	2ג	2ג	NOUN
ejpam-6225	979	13	{	{	PUNCT
ejpam-6225	979	14	6ג	6ג	NOUN
ejpam-6225	979	15	.	.	PUNCT
ejpam-6225	980	1	also	also	ADV
ejpam-6225	980	2	,	,	PUNCT
ejpam-6225	980	3	∗	∗	NOUN
ejpam-6225	980	4	−	−	PROPN
ejpam-6225	980	5	srl	srl	PROPN
ejpam-6225	980	6	β+	β+	PUNCT
ejpam-6225	980	7	(=	(=	ADJ
ejpam-6225	980	8	c	c	X
ejpam-6225	980	9	)	)	PUNCT
ejpam-6225	980	10	=	=	PUNCT
ejpam-6225	981	1	=	=	SYM
ejpam-6225	981	2	c	c	NOUN
ejpam-6225	981	3	∩	∩	X
ejpam-6225	981	4	srl	srl	PROPN
ejpam-6225	981	5	β+(=c	β+(=c	PUNCT
ejpam-6225	981	6	)	)	PUNCT
ejpam-6225	981	7	=	=	NOUN
ejpam-6225	981	8	,	,	PUNCT
ejpam-6225	981	9	1ג	1ג	NUM
ejpam-6225	981	10	}	}	PUNCT
ejpam-6225	981	11	{	{	PUNCT
ejpam-6225	981	12	6ג	6ג	NUM
ejpam-6225	981	13	,	,	PUNCT
ejpam-6225	981	14	∗	∗	NOUN
ejpam-6225	981	15	−	−	PROPN
ejpam-6225	981	16	sr	sr	PROPN
ejpam-6225	981	17	l	l	NOUN
ejpam-6225	981	18	β−	β−	PUNCT
ejpam-6225	981	19	(=	(=	NOUN
ejpam-6225	981	20	c	c	X
ejpam-6225	981	21	)	)	PUNCT
ejpam-6225	981	22	=	=	SYM
ejpam-6225	982	1	=	=	SYM
ejpam-6225	982	2	∩	∩	X
ejpam-6225	982	3	srl	srl	PROPN
ejpam-6225	982	4	β−(=c	β−(=c	X
ejpam-6225	982	5	)	)	PUNCT
ejpam-6225	982	6	=	=	NOUN
ejpam-6225	982	7	,	,	PUNCT
ejpam-6225	982	8	3ג	3ג	NOUN
ejpam-6225	982	9	}	}	PUNCT
ejpam-6225	982	10	,	,	PUNCT
ejpam-6225	982	11	4ג	4ג	NOUN
ejpam-6225	982	12	{	{	PUNCT
ejpam-6225	982	13	5ג	5ג	NOUN
ejpam-6225	982	14	.	.	PUNCT
ejpam-6225	983	1	therefore	therefore	ADV
ejpam-6225	983	2	,	,	PUNCT
ejpam-6225	983	3	accl	accl	NOUN
ejpam-6225	983	4	b(=	b(=	NOUN
ejpam-6225	983	5	)	)	PUNCT
ejpam-6225	983	6	=	=	PRON
ejpam-6225	984	1	(	(	PUNCT
ejpam-6225	984	2	=	=	NOUN
ejpam-6225	984	3	l	l	NOUN
ejpam-6225	984	4	β+	β+	PUNCT
ejpam-6225	984	5	,	,	PUNCT
ejpam-6225	984	6	=	=	X
ejpam-6225	984	7	l	l	NOUN
ejpam-6225	984	8	β−	β−	PUNCT
ejpam-6225	984	9	)	)	PUNCT
ejpam-6225	985	1	=	=	PUNCT
ejpam-6225	985	2	(	(	PUNCT
ejpam-6225	985	3	2	2	NUM
ejpam-6225	985	4	5	5	NUM
ejpam-6225	985	5	,	,	PUNCT
ejpam-6225	985	6	2	2	NUM
ejpam-6225	985	7	3	3	NUM
ejpam-6225	985	8	)	)	PUNCT
ejpam-6225	985	9	=	=	SYM
ejpam-6225	985	10	(	(	PUNCT
ejpam-6225	985	11	0.400	0.400	NUM
ejpam-6225	985	12	,	,	PUNCT
ejpam-6225	985	13	0.666	0.666	NUM
ejpam-6225	985	14	)	)	PUNCT
ejpam-6225	985	15	pl	pl	NOUN
ejpam-6225	985	16	b(=	b(=	NOUN
ejpam-6225	985	17	)	)	PUNCT
ejpam-6225	985	18	=	=	PRON
ejpam-6225	986	1	(	(	PUNCT
ejpam-6225	986	2	=	=	NOUN
ejpam-6225	986	3	l	l	NOUN
ejpam-6225	986	4	∗β+	∗β+	NUM
ejpam-6225	986	5	,	,	PUNCT
ejpam-6225	987	1	=	=	NOUN
ejpam-6225	987	2	l	l	NOUN
ejpam-6225	987	3	∗β−	∗β−	NOUN
ejpam-6225	987	4	)	)	PUNCT
ejpam-6225	987	5	=	=	PUNCT
ejpam-6225	987	6	(	(	PUNCT
ejpam-6225	987	7	2	2	NUM
ejpam-6225	987	8	3	3	NUM
ejpam-6225	987	9	,	,	PUNCT
ejpam-6225	987	10	2	2	NUM
ejpam-6225	987	11	3	3	NUM
ejpam-6225	987	12	)	)	PUNCT
ejpam-6225	987	13	=	=	SYM
ejpam-6225	987	14	(	(	PUNCT
ejpam-6225	987	15	0.666	0.666	NUM
ejpam-6225	987	16	,	,	PUNCT
ejpam-6225	987	17	0.666	0.666	NUM
ejpam-6225	987	18	)	)	PUNCT
ejpam-6225	987	19	.	.	PUNCT
ejpam-6225	988	1	cl	cl	NOUN
ejpam-6225	988	2	b(=	b(=	NOUN
ejpam-6225	988	3	)	)	PUNCT
ejpam-6225	988	4	=	=	PRON
ejpam-6225	989	1	(	(	PUNCT
ejpam-6225	989	2	=	=	SYM
ejpam-6225	989	3	l	l	NOUN
ejpam-6225	989	4	]	]	X
ejpam-6225	989	5	β+	β+	SYM
ejpam-6225	989	6	,	,	PUNCT
ejpam-6225	989	7	=	=	X
ejpam-6225	989	8	l	l	NOUN
ejpam-6225	989	9	]	]	X
ejpam-6225	989	10	β−	β−	PUNCT
ejpam-6225	989	11	)	)	PUNCT
ejpam-6225	990	1	=	=	PUNCT
ejpam-6225	990	2	(	(	PUNCT
ejpam-6225	990	3	2	2	NUM
ejpam-6225	990	4	+	+	NUM
ejpam-6225	990	5	2	2	NUM
ejpam-6225	990	6	6	6	NUM
ejpam-6225	990	7	,	,	PUNCT
ejpam-6225	990	8	2	2	NUM
ejpam-6225	990	9	+	+	CCONJ
ejpam-6225	990	10	3	3	NUM
ejpam-6225	990	11	6	6	NUM
ejpam-6225	990	12	)	)	PUNCT
ejpam-6225	990	13	=	=	PUNCT
ejpam-6225	990	14	(	(	PUNCT
ejpam-6225	990	15	4	4	NUM
ejpam-6225	990	16	6	6	NUM
ejpam-6225	990	17	,	,	PUNCT
ejpam-6225	990	18	5	5	NUM
ejpam-6225	990	19	6	6	NUM
ejpam-6225	990	20	)	)	PUNCT
ejpam-6225	990	21	=	=	SYM
ejpam-6225	990	22	(	(	PUNCT
ejpam-6225	990	23	0.666	0.666	NUM
ejpam-6225	990	24	,	,	PUNCT
ejpam-6225	990	25	0.833	0.833	NUM
ejpam-6225	990	26	)	)	PUNCT
ejpam-6225	990	27	.	.	PUNCT
ejpam-6225	991	1	remark	remark	VERB
ejpam-6225	991	2	6.2	6.2	NUM
ejpam-6225	991	3	.	.	PUNCT
ejpam-6225	992	1	in	in	ADP
ejpam-6225	992	2	the	the	DET
ejpam-6225	992	3	next	next	ADJ
ejpam-6225	992	4	example	example	NOUN
ejpam-6225	992	5	,	,	PUNCT
ejpam-6225	992	6	we	we	PRON
ejpam-6225	992	7	calculate	calculate	VERB
ejpam-6225	992	8	the	the	DET
ejpam-6225	992	9	ams	am	NOUN
ejpam-6225	992	10	of	of	ADP
ejpam-6225	992	11	the	the	DET
ejpam-6225	992	12	bipolar	bipolar	ADJ
ejpam-6225	992	13	soft	soft	ADJ
ejpam-6225	992	14	rough	rough	ADJ
ejpam-6225	992	15	approximations	approximation	NOUN
ejpam-6225	992	16	techniques	technique	NOUN
ejpam-6225	992	17	given	give	VERB
ejpam-6225	992	18	in	in	ADP
ejpam-6225	992	19	[	[	X
ejpam-6225	992	20	33	33	NUM
ejpam-6225	992	21	]	]	PUNCT
ejpam-6225	992	22	,	,	PUNCT
ejpam-6225	992	23	[	[	X
ejpam-6225	992	24	34	34	NUM
ejpam-6225	992	25	]	]	PUNCT
ejpam-6225	992	26	,	,	PUNCT
ejpam-6225	992	27	[	[	X
ejpam-6225	992	28	35	35	NUM
ejpam-6225	992	29	]	]	PUNCT
ejpam-6225	992	30	and	and	CCONJ
ejpam-6225	992	31	our	our	PRON
ejpam-6225	992	32	suggested	suggest	VERB
ejpam-6225	992	33	technique	technique	NOUN
ejpam-6225	992	34	definition	definition	NOUN
ejpam-6225	992	35	4.1	4.1	NUM
ejpam-6225	992	36	according	accord	VERB
ejpam-6225	992	37	to	to	ADP
ejpam-6225	992	38	the	the	DET
ejpam-6225	992	39	am	am	NOUN
ejpam-6225	992	40	in	in	ADP
ejpam-6225	992	41	definition	definition	NOUN
ejpam-6225	992	42	6.1	6.1	NUM
ejpam-6225	992	43	,	,	PUNCT
ejpam-6225	992	44	which	which	PRON
ejpam-6225	992	45	illustrates	illustrate	VERB
ejpam-6225	992	46	that	that	SCONJ
ejpam-6225	992	47	our	our	PRON
ejpam-6225	992	48	suggested	suggest	VERB
ejpam-6225	992	49	technique	technique	NOUN
ejpam-6225	992	50	produce	produce	VERB
ejpam-6225	992	51	the	the	DET
ejpam-6225	992	52	higher	high	ADJ
ejpam-6225	992	53	accuracy	accuracy	NOUN
ejpam-6225	992	54	values	value	NOUN
ejpam-6225	992	55	.	.	PUNCT
ejpam-6225	993	1	thus	thus	ADV
ejpam-6225	993	2	,	,	PUNCT
ejpam-6225	993	3	the	the	DET
ejpam-6225	993	4	investigated	investigate	VERB
ejpam-6225	993	5	technique	technique	NOUN
ejpam-6225	993	6	is	be	AUX
ejpam-6225	993	7	more	more	ADV
ejpam-6225	993	8	accurate	accurate	ADJ
ejpam-6225	993	9	in	in	ADP
ejpam-6225	993	10	the	the	DET
ejpam-6225	993	11	decision	decision	NOUN
ejpam-6225	993	12	making	making	NOUN
ejpam-6225	993	13	.	.	PUNCT
ejpam-6225	994	1	example	example	NOUN
ejpam-6225	994	2	6.2	6.2	NUM
ejpam-6225	994	3	.	.	PUNCT
ejpam-6225	995	1	let	let	VERB
ejpam-6225	995	2	b	b	NOUN
ejpam-6225	995	3	=	=	SYM
ejpam-6225	995	4	(	(	PUNCT
ejpam-6225	995	5	f	f	X
ejpam-6225	995	6	,	,	PUNCT
ejpam-6225	995	7	g	g	NOUN
ejpam-6225	995	8	:	:	PUNCT
ejpam-6225	995	9	℘	℘	PROPN
ejpam-6225	995	10	)	)	PUNCT
ejpam-6225	995	11	∈	∈	PROPN
ejpam-6225	995	12	bssq	bssq	NOUN
ejpam-6225	995	13	and	and	CCONJ
ejpam-6225	995	14	βl	βl	NOUN
ejpam-6225	995	15	=	=	PUNCT
ejpam-6225	995	16	(	(	PUNCT
ejpam-6225	995	17	q	q	ADJ
ejpam-6225	995	18	,	,	PUNCT
ejpam-6225	995	19	(	(	PUNCT
ejpam-6225	995	20	f	f	X
ejpam-6225	995	21	,	,	PUNCT
ejpam-6225	995	22	g	g	NOUN
ejpam-6225	995	23	:	:	PUNCT
ejpam-6225	995	24	℘	℘	NUM
ejpam-6225	995	25	)	)	PUNCT
ejpam-6225	995	26	,	,	PUNCT
ejpam-6225	995	27	l	l	NOUN
ejpam-6225	995	28	)	)	PUNCT
ejpam-6225	995	29	be	be	AUX
ejpam-6225	995	30	ibsa	ibsa	NOUN
ejpam-6225	995	31	-	-	PUNCT
ejpam-6225	995	32	space	space	NOUN
ejpam-6225	995	33	with	with	ADP
ejpam-6225	995	34	q	q	PROPN
ejpam-6225	995	35	=	=	SYM
ejpam-6225	995	36	,	,	PUNCT
ejpam-6225	995	37	1ג	1ג	NUM
ejpam-6225	995	38	}	}	PUNCT
ejpam-6225	995	39	,	,	PUNCT
ejpam-6225	995	40	2ג	2ג	NUM
ejpam-6225	995	41	,	,	PUNCT
ejpam-6225	995	42	3ג	3ג	NUM
ejpam-6225	995	43	,	,	PUNCT
ejpam-6225	995	44	4ג	4ג	NOUN
ejpam-6225	995	45	,	,	PUNCT
ejpam-6225	995	46	5ג	5ג	NOUN
ejpam-6225	995	47	{	{	PUNCT
ejpam-6225	995	48	6ג	6ג	NOUN
ejpam-6225	995	49	and	and	CCONJ
ejpam-6225	995	50	℘	℘	PROPN
ejpam-6225	995	51	=	=	SYM
ejpam-6225	995	52	{	{	PUNCT
ejpam-6225	995	53	ς1	ς1	NOUN
ejpam-6225	995	54	,	,	PUNCT
ejpam-6225	995	55	ς2	ς2	PROPN
ejpam-6225	995	56	,	,	PUNCT
ejpam-6225	995	57	ς3	ς3	NOUN
ejpam-6225	995	58	,	,	PUNCT
ejpam-6225	995	59	ς4	ς4	PROPN
ejpam-6225	995	60	,	,	PUNCT
ejpam-6225	995	61	ς5	ς5	NOUN
ejpam-6225	995	62	,	,	PUNCT
ejpam-6225	995	63	ς6	ς6	NOUN
ejpam-6225	995	64	,	,	PUNCT
ejpam-6225	995	65	ς7	ς7	PROPN
ejpam-6225	995	66	}	}	PUNCT
ejpam-6225	995	67	.	.	PUNCT
ejpam-6225	996	1	the	the	DET
ejpam-6225	996	2	mappings	mapping	NOUN
ejpam-6225	996	3	f	f	PROPN
ejpam-6225	996	4	and	and	CCONJ
ejpam-6225	996	5	g	g	PROPN
ejpam-6225	996	6	are	be	AUX
ejpam-6225	996	7	as	as	ADV
ejpam-6225	996	8	follow	follow	VERB
ejpam-6225	996	9	:	:	PUNCT
ejpam-6225	996	10	f	f	X
ejpam-6225	996	11	:	:	PUNCT
ejpam-6225	996	12	℘	℘	VERB
ejpam-6225	996	13	−→	−→	NOUN
ejpam-6225	996	14	2q	2q	NOUN
ejpam-6225	996	15	,	,	PUNCT
ejpam-6225	996	16	ς	ς	PROPN
ejpam-6225	996	17	7→	7→	NUM
ejpam-6225	996	18			NUM
ejpam-6225	996	19	,	,	PUNCT
ejpam-6225	996	20	1ג	1ג	NUM
ejpam-6225	996	21	}	}	PUNCT
ejpam-6225	996	22	,	,	PUNCT
ejpam-6225	996	23	3ג	3ג	NUM
ejpam-6225	996	24	,	,	PUNCT
ejpam-6225	996	25	4ג	4ג	NOUN
ejpam-6225	996	26	,	,	PUNCT
ejpam-6225	996	27	5ג	5ג	NOUN
ejpam-6225	996	28	{	{	PUNCT
ejpam-6225	996	29	6ג	6ג	NUM
ejpam-6225	996	30	,	,	PUNCT
ejpam-6225	996	31	if	if	SCONJ
ejpam-6225	996	32	ς	ς	PROPN
ejpam-6225	996	33	=	=	PUNCT
ejpam-6225	996	34	ς1	ς1	NOUN
ejpam-6225	996	35	,	,	PUNCT
ejpam-6225	996	36	,	,	PUNCT
ejpam-6225	996	37	1ג	1ג	NOUN
ejpam-6225	996	38	}	}	PUNCT
ejpam-6225	996	39	{	{	PUNCT
ejpam-6225	996	40	2ג	2ג	NOUN
ejpam-6225	996	41	,	,	PUNCT
ejpam-6225	996	42	if	if	SCONJ
ejpam-6225	996	43	ς	ς	PROPN
ejpam-6225	996	44	=	=	SYM
ejpam-6225	996	45	ς2	ς2	PROPN
ejpam-6225	996	46	,	,	PUNCT
ejpam-6225	996	47	,	,	PUNCT
ejpam-6225	996	48	1ג	1ג	NOUN
ejpam-6225	996	49	}	}	PUNCT
ejpam-6225	996	50	,	,	PUNCT
ejpam-6225	996	51	2ג	2ג	NUM
ejpam-6225	996	52	{	{	PUNCT
ejpam-6225	996	53	4ג	4ג	NOUN
ejpam-6225	996	54	,	,	PUNCT
ejpam-6225	996	55	if	if	SCONJ
ejpam-6225	996	56	ς	ς	PROPN
ejpam-6225	996	57	=	=	SYM
ejpam-6225	996	58	ς3	ς3	PROPN
ejpam-6225	996	59	,	,	PUNCT
ejpam-6225	996	60	{	{	PUNCT
ejpam-6225	996	61	1ג	1ג	NOUN
ejpam-6225	996	62	}	}	PUNCT
ejpam-6225	996	63	,	,	PUNCT
ejpam-6225	996	64	if	if	SCONJ
ejpam-6225	996	65	ς	ς	PROPN
ejpam-6225	996	66	=	=	PROPN
ejpam-6225	996	67	ς4	ς4	PROPN
ejpam-6225	996	68	,	,	PUNCT
ejpam-6225	996	69	,	,	PUNCT
ejpam-6225	996	70	3ג	3ג	NOUN
ejpam-6225	996	71	}	}	PUNCT
ejpam-6225	996	72	{	{	PUNCT
ejpam-6225	996	73	4ג	4ג	NOUN
ejpam-6225	996	74	,	,	PUNCT
ejpam-6225	996	75	if	if	SCONJ
ejpam-6225	996	76	ς	ς	PROPN
ejpam-6225	996	77	=	=	SYM
ejpam-6225	996	78	ς5	ς5	PROPN
ejpam-6225	996	79	,	,	PUNCT
ejpam-6225	996	80	,	,	PUNCT
ejpam-6225	996	81	2ג	2ג	NUM
ejpam-6225	996	82	}	}	PUNCT
ejpam-6225	996	83	{	{	PUNCT
ejpam-6225	996	84	4ג	4ג	NOUN
ejpam-6225	996	85	,	,	PUNCT
ejpam-6225	996	86	if	if	SCONJ
ejpam-6225	996	87	ς	ς	PROPN
ejpam-6225	996	88	=	=	PUNCT
ejpam-6225	996	89	ς6	ς6	PROPN
ejpam-6225	996	90	,	,	PUNCT
ejpam-6225	996	91	,	,	PUNCT
ejpam-6225	996	92	1ג	1ג	NOUN
ejpam-6225	996	93	}	}	PUNCT
ejpam-6225	996	94	,	,	PUNCT
ejpam-6225	996	95	3ג	3ג	NUM
ejpam-6225	996	96	,	,	PUNCT
ejpam-6225	996	97	5ג	5ג	NOUN
ejpam-6225	996	98	{	{	PUNCT
ejpam-6225	996	99	6ג	6ג	NUM
ejpam-6225	996	100	,	,	PUNCT
ejpam-6225	996	101	if	if	SCONJ
ejpam-6225	996	102	ς	ς	PROPN
ejpam-6225	996	103	=	=	SYM
ejpam-6225	996	104	ς7	ς7	PROPN
ejpam-6225	996	105	,	,	PUNCT
ejpam-6225	996	106	and	and	CCONJ
ejpam-6225	996	107	g	g	NOUN
ejpam-6225	996	108	:	:	PUNCT
ejpam-6225	996	109	ℵ	ℵ	X
ejpam-6225	996	110	−→	−→	NOUN
ejpam-6225	996	111	2q	2q	NOUN
ejpam-6225	996	112	,	,	PUNCT
ejpam-6225	996	113	¬ς	¬ς	PROPN
ejpam-6225	996	114	7→	7→	NUM
ejpam-6225	996	115			NOUN
ejpam-6225	996	116	{	{	PUNCT
ejpam-6225	996	117	2ג	2ג	NOUN
ejpam-6225	996	118	}	}	PUNCT
ejpam-6225	996	119	,	,	PUNCT
ejpam-6225	996	120	if	if	SCONJ
ejpam-6225	996	121	¬ς	¬ς	NOUN
ejpam-6225	996	122	=	=	SYM
ejpam-6225	996	123	¬ς1	¬ς1	ADV
ejpam-6225	996	124	,	,	PUNCT
ejpam-6225	996	125	{	{	PUNCT
ejpam-6225	996	126	5ג	5ג	NOUN
ejpam-6225	996	127	}	}	PUNCT
ejpam-6225	996	128	,	,	PUNCT
ejpam-6225	996	129	if	if	SCONJ
ejpam-6225	996	130	¬ς	¬ς	NOUN
ejpam-6225	996	131	=	=	PUNCT
ejpam-6225	996	132	¬ς2	¬ς2	NOUN
ejpam-6225	996	133	,	,	PUNCT
ejpam-6225	996	134	,	,	PUNCT
ejpam-6225	996	135	3ג	3ג	NOUN
ejpam-6225	996	136	}	}	PUNCT
ejpam-6225	996	137	{	{	PUNCT
ejpam-6225	996	138	6ג	6ג	NUM
ejpam-6225	996	139	,	,	PUNCT
ejpam-6225	996	140	if	if	SCONJ
ejpam-6225	996	141	¬ς	¬ς	NOUN
ejpam-6225	996	142	=	=	SYM
ejpam-6225	996	143	¬ς3	¬ς3	NOUN
ejpam-6225	996	144	,	,	PUNCT
ejpam-6225	996	145	{	{	PUNCT
ejpam-6225	996	146	4ג	4ג	NOUN
ejpam-6225	996	147	}	}	PUNCT
ejpam-6225	996	148	,	,	PUNCT
ejpam-6225	996	149	if	if	SCONJ
ejpam-6225	996	150	¬ς	¬ς	NOUN
ejpam-6225	996	151	=	=	SYM
ejpam-6225	996	152	¬ς4	¬ς4	NOUN
ejpam-6225	996	153	,	,	PUNCT
ejpam-6225	996	154	,	,	PUNCT
ejpam-6225	996	155	5ג	5ג	NOUN
ejpam-6225	996	156	}	}	PUNCT
ejpam-6225	996	157	{	{	PUNCT
ejpam-6225	996	158	6ג	6ג	NUM
ejpam-6225	996	159	,	,	PUNCT
ejpam-6225	996	160	if	if	SCONJ
ejpam-6225	996	161	¬ς	¬ς	NOUN
ejpam-6225	996	162	=	=	NOUN
ejpam-6225	996	163	¬ς5	¬ς5	NOUN
ejpam-6225	996	164	,	,	PUNCT
ejpam-6225	996	165	,	,	PUNCT
ejpam-6225	996	166	3ג	3ג	NOUN
ejpam-6225	996	167	}	}	PUNCT
ejpam-6225	996	168	,	,	PUNCT
ejpam-6225	996	169	5ג	5ג	NOUN
ejpam-6225	996	170	{	{	PUNCT
ejpam-6225	996	171	6ג	6ג	NUM
ejpam-6225	996	172	,	,	PUNCT
ejpam-6225	996	173	if	if	SCONJ
ejpam-6225	996	174	¬ς	¬ς	NOUN
ejpam-6225	996	175	=	=	SYM
ejpam-6225	996	176	¬ς6	¬ς6	NOUN
ejpam-6225	996	177	.	.	PUNCT
ejpam-6225	997	1	,	,	PUNCT
ejpam-6225	997	2	2ג	2ג	NUM
ejpam-6225	997	3	}	}	PUNCT
ejpam-6225	997	4	{	{	PUNCT
ejpam-6225	997	5	4ג	4ג	NOUN
ejpam-6225	997	6	,	,	PUNCT
ejpam-6225	997	7	if	if	SCONJ
ejpam-6225	997	8	¬ς	¬ς	NOUN
ejpam-6225	997	9	=	=	SYM
ejpam-6225	997	10	¬ς7	¬ς7	PROPN
ejpam-6225	997	11	.	.	PUNCT
ejpam-6225	998	1	consider	consider	VERB
ejpam-6225	998	2	,	,	PUNCT
ejpam-6225	998	3	l	l	NOUN
ejpam-6225	998	4	=	=	SYM
ejpam-6225	998	5	{	{	PUNCT
ejpam-6225	998	6	∅	∅	NOUN
ejpam-6225	998	7	,	,	PUNCT
ejpam-6225	998	8	,	,	PUNCT
ejpam-6225	998	9	{	{	PUNCT
ejpam-6225	998	10	1ג	1ג	NOUN
ejpam-6225	998	11	}	}	PUNCT
ejpam-6225	998	12	,	,	PUNCT
ejpam-6225	998	13	{	{	PUNCT
ejpam-6225	998	14	2ג	2ג	NOUN
ejpam-6225	998	15	}	}	PUNCT
ejpam-6225	998	16	,	,	PUNCT
ejpam-6225	998	17	{	{	PUNCT
ejpam-6225	998	18	3ג	3ג	NOUN
ejpam-6225	998	19	}	}	PUNCT
ejpam-6225	998	20	,	,	PUNCT
ejpam-6225	998	21	1ג	1ג	NOUN
ejpam-6225	998	22	}	}	PUNCT
ejpam-6225	998	23	,	,	PUNCT
ejpam-6225	998	24	{	{	PUNCT
ejpam-6225	998	25	2ג	2ג	NOUN
ejpam-6225	998	26	,	,	PUNCT
ejpam-6225	998	27	1ג	1ג	NUM
ejpam-6225	998	28	}	}	PUNCT
ejpam-6225	998	29	,	,	PUNCT
ejpam-6225	998	30	{	{	PUNCT
ejpam-6225	998	31	3ג	3ג	NUM
ejpam-6225	998	32	,	,	PUNCT
ejpam-6225	998	33	2ג	2ג	NUM
ejpam-6225	998	34	}	}	PUNCT
ejpam-6225	998	35	,	,	PUNCT
ejpam-6225	998	36	{	{	PUNCT
ejpam-6225	998	37	3ג	3ג	NUM
ejpam-6225	998	38	,	,	PUNCT
ejpam-6225	998	39	1ג	1ג	NUM
ejpam-6225	998	40	}	}	PUNCT
ejpam-6225	998	41	,	,	PUNCT
ejpam-6225	998	42	2ג	2ג	NOUN
ejpam-6225	998	43	.{{3ג	.{{3ג	PUNCT
ejpam-6225	999	1	the	the	DET
ejpam-6225	999	2	comparison	comparison	NOUN
ejpam-6225	999	3	between	between	ADP
ejpam-6225	999	4	the	the	DET
ejpam-6225	999	5	proposed	propose	VERB
ejpam-6225	999	6	technique	technique	NOUN
ejpam-6225	999	7	and	and	CCONJ
ejpam-6225	999	8	the	the	DET
ejpam-6225	999	9	previous	previous	ADJ
ejpam-6225	999	10	techniques	technique	NOUN
ejpam-6225	999	11	is	be	AUX
ejpam-6225	999	12	shown	show	VERB
ejpam-6225	999	13	in	in	ADP
ejpam-6225	999	14	table	table	NOUN
ejpam-6225	999	15	1	1	NUM
ejpam-6225	999	16	.	.	PUNCT
ejpam-6225	1000	1	according	accord	VERB
ejpam-6225	1000	2	to	to	ADP
ejpam-6225	1000	3	table	table	NOUN
ejpam-6225	1000	4	1	1	NUM
ejpam-6225	1000	5	,	,	PUNCT
ejpam-6225	1000	6	if	if	SCONJ
ejpam-6225	1000	7	b	b	X
ejpam-6225	1000	8	=	=	SYM
ejpam-6225	1000	9	(	(	PUNCT
ejpam-6225	1000	10	f	f	X
ejpam-6225	1000	11	,	,	PUNCT
ejpam-6225	1000	12	g	g	NOUN
ejpam-6225	1000	13	:	:	PUNCT
ejpam-6225	1000	14	℘	℘	PROPN
ejpam-6225	1000	15	)	)	PUNCT
ejpam-6225	1000	16	∈	∈	PROPN
ejpam-6225	1000	17	bssq	bssq	NOUN
ejpam-6225	1000	18	is	be	AUX
ejpam-6225	1000	19	a	a	DET
ejpam-6225	1000	20	full	full	ADJ
ejpam-6225	1000	21	bipolar	bipolar	ADJ
ejpam-6225	1000	22	soft	soft	ADJ
ejpam-6225	1000	23	set	set	NOUN
ejpam-6225	1000	24	,	,	PUNCT
ejpam-6225	1000	25	then	then	ADV
ejpam-6225	1000	26	definition	definition	NOUN
ejpam-6225	1000	27	4.1	4.1	NUM
ejpam-6225	1000	28	gives	give	VERB
ejpam-6225	1000	29	us	we	PRON
ejpam-6225	1000	30	a	a	DET
ejpam-6225	1000	31	lower	low	ADJ
ejpam-6225	1000	32	an	an	DET
ejpam-6225	1000	33	upper	upper	ADJ
ejpam-6225	1000	34	accuracy	accuracy	NOUN
ejpam-6225	1000	35	value	value	NOUN
ejpam-6225	1000	36	than	than	ADP
ejpam-6225	1000	37	the	the	DET
ejpam-6225	1000	38	calculated	calculate	VERB
ejpam-6225	1000	39	ones	one	NOUN
ejpam-6225	1000	40	given	give	VERB
ejpam-6225	1000	41	in	in	ADP
ejpam-6225	1000	42	[	[	PUNCT
ejpam-6225	1000	43	33	33	NUM
ejpam-6225	1000	44	]	]	PUNCT
ejpam-6225	1000	45	,	,	PUNCT
ejpam-6225	1000	46	[	[	X
ejpam-6225	1000	47	34	34	NUM
ejpam-6225	1000	48	]	]	PUNCT
ejpam-6225	1000	49	,	,	PUNCT
ejpam-6225	1000	50	[	[	X
ejpam-6225	1000	51	35	35	NUM
ejpam-6225	1000	52	]	]	PUNCT
ejpam-6225	1000	53	.	.	PUNCT
ejpam-6225	1001	1	moreover	moreover	ADV
ejpam-6225	1001	2	,	,	PUNCT
ejpam-6225	1001	3	it	it	PRON
ejpam-6225	1001	4	is	be	AUX
ejpam-6225	1001	5	clear	clear	ADJ
ejpam-6225	1001	6	that	that	SCONJ
ejpam-6225	1001	7	the	the	DET
ejpam-6225	1001	8	proposed	propose	VERB
ejpam-6225	1001	9	approach	approach	NOUN
ejpam-6225	1001	10	in	in	ADP
ejpam-6225	1001	11	[	[	X
ejpam-6225	1001	12	35	35	NUM
ejpam-6225	1001	13	]	]	PUNCT
ejpam-6225	1001	14	and	and	CCONJ
ejpam-6225	1001	15	its	its	PRON
ejpam-6225	1001	16	counterpart	counterpart	NOUN
ejpam-6225	1001	17	introduced	introduce	VERB
ejpam-6225	1001	18	in	in	ADP
ejpam-6225	1001	19	[	[	PUNCT
ejpam-6225	1001	20	34	34	NUM
ejpam-6225	1001	21	]	]	PUNCT
ejpam-6225	1001	22	are	be	AUX
ejpam-6225	1001	23	different	different	ADJ
ejpam-6225	1001	24	in	in	ADP
ejpam-6225	1001	25	general	general	ADJ
ejpam-6225	1001	26	.	.	PUNCT
ejpam-6225	1002	1	hence	hence	ADV
ejpam-6225	1002	2	,	,	PUNCT
ejpam-6225	1002	3	a	a	DET
ejpam-6225	1002	4	decision	decision	NOUN
ejpam-6225	1002	5	made	make	VERB
ejpam-6225	1002	6	according	accord	VERB
ejpam-6225	1002	7	to	to	ADP
ejpam-6225	1002	8	the	the	DET
ejpam-6225	1002	9	calculations	calculation	NOUN
ejpam-6225	1002	10	of	of	ADP
ejpam-6225	1002	11	our	our	PRON
ejpam-6225	1002	12	current	current	ADJ
ejpam-6225	1002	13	technique	technique	NOUN
ejpam-6225	1002	14	in	in	ADP
ejpam-6225	1002	15	definition	definition	NOUN
ejpam-6225	1002	16	4.1	4.1	NUM
ejpam-6225	1002	17	is	be	AUX
ejpam-6225	1002	18	more	more	ADV
ejpam-6225	1002	19	accurate	accurate	ADJ
ejpam-6225	1002	20	.	.	PUNCT
ejpam-6225	1003	1	d.	d.	PROPN
ejpam-6225	1003	2	shi	shi	PROPN
ejpam-6225	1003	3	et	et	PROPN
ejpam-6225	1003	4	al	al	PROPN
ejpam-6225	1003	5	.	.	PUNCT
ejpam-6225	1003	6	/	/	SYM
ejpam-6225	1003	7	eur	eur	PROPN
ejpam-6225	1003	8	.	.	PUNCT
ejpam-6225	1004	1	j.	j.	PROPN
ejpam-6225	1004	2	pure	pure	PROPN
ejpam-6225	1004	3	appl	appl	PROPN
ejpam-6225	1004	4	.	.	PROPN
ejpam-6225	1004	5	math	math	PROPN
ejpam-6225	1004	6	,	,	PUNCT
ejpam-6225	1004	7	18	18	NUM
ejpam-6225	1004	8	(	(	PUNCT
ejpam-6225	1004	9	4	4	NUM
ejpam-6225	1004	10	)	)	PUNCT
ejpam-6225	1004	11	(	(	PUNCT
ejpam-6225	1004	12	2025	2025	NUM
ejpam-6225	1004	13	)	)	PUNCT
ejpam-6225	1004	14	,	,	PUNCT
ejpam-6225	1004	15	6225	6225	NUM
ejpam-6225	1004	16	27	27	NUM
ejpam-6225	1004	17	of	of	ADP
ejpam-6225	1004	18	36	36	NUM
ejpam-6225	1004	19	table	table	NOUN
ejpam-6225	1004	20	1	1	NUM
ejpam-6225	1004	21	:	:	PUNCT
ejpam-6225	1004	22	comparison	comparison	NOUN
ejpam-6225	1004	23	the	the	DET
ejpam-6225	1004	24	am	am	NOUN
ejpam-6225	1004	25	in	in	ADP
ejpam-6225	1004	26	definition	definition	NOUN
ejpam-6225	1004	27	6.1	6.1	NUM
ejpam-6225	1004	28	of	of	ADP
ejpam-6225	1004	29	a	a	DET
ejpam-6225	1004	30	set	set	NOUN
ejpam-6225	1004	31	=	=	SYM
ejpam-6225	1004	32	⊆	⊆	NUM
ejpam-6225	1004	33	q	q	NOUN
ejpam-6225	1004	34	by	by	ADP
ejpam-6225	1004	35	using	use	VERB
ejpam-6225	1004	36	the	the	DET
ejpam-6225	1004	37	proposed	propose	VERB
ejpam-6225	1004	38	approach	approach	NOUN
ejpam-6225	1004	39	in	in	ADP
ejpam-6225	1004	40	definitions	definition	NOUN
ejpam-6225	1004	41	4.1	4.1	NUM
ejpam-6225	1004	42	and	and	CCONJ
ejpam-6225	1004	43	other	other	ADJ
ejpam-6225	1004	44	previous	previous	ADJ
ejpam-6225	1004	45	approaches	approach	NOUN
ejpam-6225	1004	46	=	=	SYM
ejpam-6225	1004	47	⊆	⊆	NUM
ejpam-6225	1004	48	q	q	NOUN
ejpam-6225	1004	49	technique	technique	NOUN
ejpam-6225	1004	50	in	in	ADP
ejpam-6225	1004	51	[	[	X
ejpam-6225	1004	52	33	33	NUM
ejpam-6225	1004	53	]	]	PUNCT
ejpam-6225	1004	54	technique	technique	NOUN
ejpam-6225	1004	55	in	in	ADP
ejpam-6225	1004	56	[	[	X
ejpam-6225	1004	57	34	34	NUM
ejpam-6225	1004	58	]	]	PUNCT
ejpam-6225	1004	59	technique	technique	NOUN
ejpam-6225	1004	60	in	in	ADP
ejpam-6225	1004	61	[	[	X
ejpam-6225	1004	62	35	35	NUM
ejpam-6225	1004	63	]	]	PUNCT
ejpam-6225	1004	64	our	our	PRON
ejpam-6225	1004	65	suggested	suggest	VERB
ejpam-6225	1004	66	technique	technique	NOUN
ejpam-6225	1004	67	{	{	PUNCT
ejpam-6225	1004	68	1ג	1ג	NUM
ejpam-6225	1004	69	}	}	PUNCT
ejpam-6225	1004	70	(	(	PUNCT
ejpam-6225	1004	71	1/6,1	1/6,1	NUM
ejpam-6225	1004	72	)	)	PUNCT
ejpam-6225	1004	73	(	(	PUNCT
ejpam-6225	1004	74	1/3,5/6	1/3,5/6	NUM
ejpam-6225	1004	75	)	)	PUNCT
ejpam-6225	1004	76	(	(	PUNCT
ejpam-6225	1004	77	1,1	1,1	NUM
ejpam-6225	1004	78	)	)	PUNCT
ejpam-6225	1004	79	(	(	PUNCT
ejpam-6225	1004	80	1,1	1,1	NUM
ejpam-6225	1004	81	)	)	PUNCT
ejpam-6225	1004	82	,	,	PUNCT
ejpam-6225	1004	83	1ג	1ג	NUM
ejpam-6225	1004	84	}	}	PUNCT
ejpam-6225	1004	85	{	{	PUNCT
ejpam-6225	1004	86	2ג	2ג	NOUN
ejpam-6225	1004	87	(	(	PUNCT
ejpam-6225	1004	88	1/3,4/5	1/3,4/5	NUM
ejpam-6225	1004	89	)	)	PUNCT
ejpam-6225	1004	90	(	(	PUNCT
ejpam-6225	1004	91	1/2,4/5	1/2,4/5	NUM
ejpam-6225	1004	92	)	)	PUNCT
ejpam-6225	1004	93	(	(	PUNCT
ejpam-6225	1004	94	1,4/5	1,4/5	NUM
ejpam-6225	1004	95	)	)	PUNCT
ejpam-6225	1004	96	(	(	PUNCT
ejpam-6225	1004	97	1,4/5	1,4/5	NUM
ejpam-6225	1004	98	)	)	PUNCT
ejpam-6225	1004	99	,	,	PUNCT
ejpam-6225	1004	100	1ג	1ג	NUM
ejpam-6225	1004	101	}	}	PUNCT
ejpam-6225	1004	102	{	{	PUNCT
ejpam-6225	1004	103	3ג	3ג	NUM
ejpam-6225	1004	104	(	(	PUNCT
ejpam-6225	1004	105	1/6,3/5	1/6,3/5	NUM
ejpam-6225	1004	106	)	)	PUNCT
ejpam-6225	1004	107	(	(	PUNCT
ejpam-6225	1004	108	1/4,2/3	1/4,2/3	NUM
ejpam-6225	1004	109	)	)	PUNCT
ejpam-6225	1004	110	(	(	PUNCT
ejpam-6225	1004	111	1/2,4/5	1/2,4/5	NUM
ejpam-6225	1004	112	)	)	PUNCT
ejpam-6225	1004	113	(	(	PUNCT
ejpam-6225	1004	114	1/2,2/3	1/2,2/3	NUM
ejpam-6225	1004	115	)	)	PUNCT
ejpam-6225	1004	116	,	,	PUNCT
ejpam-6225	1004	117	1ג	1ג	NUM
ejpam-6225	1004	118	}	}	PUNCT
ejpam-6225	1004	119	{	{	PUNCT
ejpam-6225	1004	120	5ג	5ג	NOUN
ejpam-6225	1004	121	(	(	PUNCT
ejpam-6225	1004	122	1/6,4/5	1/6,4/5	NUM
ejpam-6225	1004	123	)	)	PUNCT
ejpam-6225	1004	124	(	(	PUNCT
ejpam-6225	1004	125	(	(	PUNCT
ejpam-6225	1004	126	1/3,4/5	1/3,4/5	NUM
ejpam-6225	1004	127	)	)	PUNCT
ejpam-6225	1004	128	(	(	PUNCT
ejpam-6225	1004	129	1/5,4/5	1/5,4/5	NUM
ejpam-6225	1004	130	)	)	PUNCT
ejpam-6225	1004	131	(	(	PUNCT
ejpam-6225	1004	132	1/3,4/5	1/3,4/5	NUM
ejpam-6225	1004	133	)	)	PUNCT
ejpam-6225	1004	134	,	,	PUNCT
ejpam-6225	1004	135	2ג	2ג	NUM
ejpam-6225	1004	136	}	}	PUNCT
ejpam-6225	1004	137	{	{	PUNCT
ejpam-6225	1004	138	4ג	4ג	NOUN
ejpam-6225	1004	139	(	(	PUNCT
ejpam-6225	1004	140	1/3,3/4	1/3,3/4	NUM
ejpam-6225	1004	141	)	)	PUNCT
ejpam-6225	1004	142	(	(	PUNCT
ejpam-6225	1004	143	1,3/4	1,3/4	NUM
ejpam-6225	1004	144	)	)	PUNCT
ejpam-6225	1004	145	(	(	PUNCT
ejpam-6225	1004	146	1/3,3/4	1/3,3/4	NUM
ejpam-6225	1004	147	)	)	PUNCT
ejpam-6225	1004	148	(	(	PUNCT
ejpam-6225	1004	149	1,3/4	1,3/4	NUM
ejpam-6225	1004	150	)	)	PUNCT
ejpam-6225	1004	151	,	,	PUNCT
ejpam-6225	1004	152	3ג	3ג	NOUN
ejpam-6225	1004	153	}	}	PUNCT
ejpam-6225	1004	154	{	{	PUNCT
ejpam-6225	1004	155	4ג	4ג	NOUN
ejpam-6225	1004	156	(	(	PUNCT
ejpam-6225	1004	157	1/3,3/5	1/3,3/5	NUM
ejpam-6225	1004	158	)	)	PUNCT
ejpam-6225	1004	159	(	(	PUNCT
ejpam-6225	1004	160	1/2,3/5	1/2,3/5	NUM
ejpam-6225	1004	161	)	)	PUNCT
ejpam-6225	1004	162	(	(	PUNCT
ejpam-6225	1004	163	1/3,3/4	1/3,3/4	NUM
ejpam-6225	1004	164	)	)	PUNCT
ejpam-6225	1004	165	(	(	PUNCT
ejpam-6225	1004	166	1/2,3/5	1/2,3/5	NUM
ejpam-6225	1004	167	)	)	PUNCT
ejpam-6225	1004	168	,	,	PUNCT
ejpam-6225	1004	169	1ג	1ג	NUM
ejpam-6225	1004	170	}	}	PUNCT
ejpam-6225	1004	171	,	,	PUNCT
ejpam-6225	1004	172	2ג	2ג	NOUN
ejpam-6225	1004	173	{	{	PUNCT
ejpam-6225	1004	174	5ג	5ג	NOUN
ejpam-6225	1004	175	(	(	PUNCT
ejpam-6225	1004	176	1/3,3/5	1/3,3/5	NUM
ejpam-6225	1004	177	)	)	PUNCT
ejpam-6225	1004	178	(	(	PUNCT
ejpam-6225	1004	179	1/2,3/5	1/2,3/5	NUM
ejpam-6225	1004	180	)	)	PUNCT
ejpam-6225	1004	181	(	(	PUNCT
ejpam-6225	1004	182	1/3,3/5	1/3,3/5	NUM
ejpam-6225	1004	183	)	)	PUNCT
ejpam-6225	1004	184	(	(	PUNCT
ejpam-6225	1004	185	1/2,3/4	1/2,3/4	NUM
ejpam-6225	1004	186	)	)	PUNCT
ejpam-6225	1004	187	,	,	PUNCT
ejpam-6225	1004	188	1ג	1ג	NUM
ejpam-6225	1004	189	}	}	PUNCT
ejpam-6225	1004	190	,	,	PUNCT
ejpam-6225	1004	191	3ג	3ג	NUM
ejpam-6225	1004	192	{	{	PUNCT
ejpam-6225	1004	193	5ג	5ג	NOUN
ejpam-6225	1004	194	(	(	PUNCT
ejpam-6225	1004	195	1/6,2/5	1/6,2/5	NUM
ejpam-6225	1004	196	)	)	PUNCT
ejpam-6225	1004	197	(	(	PUNCT
ejpam-6225	1004	198	1/4,2/5	1/4,2/5	NUM
ejpam-6225	1004	199	)	)	PUNCT
ejpam-6225	1004	200	(	(	PUNCT
ejpam-6225	1004	201	1/5,3/5	1/5,3/5	NUM
ejpam-6225	1004	202	)	)	PUNCT
ejpam-6225	1004	203	(	(	PUNCT
ejpam-6225	1004	204	1/4,3/5	1/4,3/5	NUM
ejpam-6225	1004	205	)	)	PUNCT
ejpam-6225	1004	206	,	,	PUNCT
ejpam-6225	1004	207	1ג	1ג	NUM
ejpam-6225	1004	208	}	}	PUNCT
ejpam-6225	1004	209	,	,	PUNCT
ejpam-6225	1004	210	5ג	5ג	NOUN
ejpam-6225	1004	211	{	{	PUNCT
ejpam-6225	1004	212	6ג	6ג	NUM
ejpam-6225	1004	213	(	(	PUNCT
ejpam-6225	1004	214	1/6	1/6	NUM
ejpam-6225	1004	215	,	,	PUNCT
ejpam-6225	1004	216	2/5	2/5	NUM
ejpam-6225	1004	217	)	)	PUNCT
ejpam-6225	1004	218	(	(	PUNCT
ejpam-6225	1004	219	1/3,1/2	1/3,1/2	NUM
ejpam-6225	1004	220	)	)	PUNCT
ejpam-6225	1004	221	(	(	PUNCT
ejpam-6225	1004	222	1/5,2/3	1/5,2/3	NUM
ejpam-6225	1004	223	)	)	PUNCT
ejpam-6225	1004	224	(	(	PUNCT
ejpam-6225	1004	225	1/3,1/2	1/3,1/2	NUM
ejpam-6225	1004	226	)	)	PUNCT
ejpam-6225	1004	227	,	,	PUNCT
ejpam-6225	1004	228	2ג	2ג	NUM
ejpam-6225	1004	229	}	}	PUNCT
ejpam-6225	1004	230	,	,	PUNCT
ejpam-6225	1004	231	3ג	3ג	NUM
ejpam-6225	1004	232	{	{	PUNCT
ejpam-6225	1004	233	4ג	4ג	NOUN
ejpam-6225	1004	234	(	(	PUNCT
ejpam-6225	1004	235	1/2	1/2	NUM
ejpam-6225	1004	236	,	,	PUNCT
ejpam-6225	1004	237	2/3	2/3	NUM
ejpam-6225	1004	238	)	)	PUNCT
ejpam-6225	1004	239	(	(	PUNCT
ejpam-6225	1004	240	3/5	3/5	NUM
ejpam-6225	1004	241	,	,	PUNCT
ejpam-6225	1004	242	1/4	1/4	NUM
ejpam-6225	1004	243	)	)	PUNCT
ejpam-6225	1004	244	(	(	PUNCT
ejpam-6225	1004	245	1/2	1/2	NUM
ejpam-6225	1004	246	,	,	PUNCT
ejpam-6225	1004	247	1/2	1/2	NUM
ejpam-6225	1004	248	)	)	PUNCT
ejpam-6225	1004	249	(	(	PUNCT
ejpam-6225	1004	250	3/5,1/2	3/5,1/2	NUM
ejpam-6225	1004	251	)	)	PUNCT
ejpam-6225	1004	252	,	,	PUNCT
ejpam-6225	1004	253	2ג	2ג	NUM
ejpam-6225	1004	254	}	}	PUNCT
ejpam-6225	1004	255	,	,	PUNCT
ejpam-6225	1004	256	4ג	4ג	NOUN
ejpam-6225	1004	257	{	{	PUNCT
ejpam-6225	1004	258	5ג	5ג	NOUN
ejpam-6225	1004	259	(	(	PUNCT
ejpam-6225	1004	260	1/3	1/3	NUM
ejpam-6225	1004	261	,	,	PUNCT
ejpam-6225	1004	262	1/2	1/2	NUM
ejpam-6225	1004	263	)	)	PUNCT
ejpam-6225	1004	264	(	(	PUNCT
ejpam-6225	1004	265	2/5	2/5	NUM
ejpam-6225	1004	266	,	,	PUNCT
ejpam-6225	1004	267	1/2	1/2	NUM
ejpam-6225	1004	268	)	)	PUNCT
ejpam-6225	1004	269	(	(	PUNCT
ejpam-6225	1004	270	1/3,1/2	1/3,1/2	NUM
ejpam-6225	1004	271	)	)	PUNCT
ejpam-6225	1004	272	(	(	PUNCT
ejpam-6225	1004	273	2/5,2/3	2/5,2/3	NUM
ejpam-6225	1004	274	)	)	PUNCT
ejpam-6225	1004	275	,	,	PUNCT
ejpam-6225	1004	276	3ג	3ג	NOUN
ejpam-6225	1004	277	}	}	PUNCT
ejpam-6225	1004	278	,	,	PUNCT
ejpam-6225	1004	279	4ג	4ג	NOUN
ejpam-6225	1004	280	{	{	PUNCT
ejpam-6225	1004	281	5ג	5ג	NOUN
ejpam-6225	1004	282	(	(	PUNCT
ejpam-6225	1004	283	1/3	1/3	NUM
ejpam-6225	1004	284	,	,	PUNCT
ejpam-6225	1004	285	1/5	1/5	NUM
ejpam-6225	1004	286	)	)	PUNCT
ejpam-6225	1004	287	(	(	PUNCT
ejpam-6225	1004	288	1/2,1/5	1/2,1/5	NUM
ejpam-6225	1004	289	)	)	PUNCT
ejpam-6225	1004	290	(	(	PUNCT
ejpam-6225	1004	291	1/3	1/3	NUM
ejpam-6225	1004	292	,	,	PUNCT
ejpam-6225	1004	293	2/5	2/5	NUM
ejpam-6225	1004	294	)	)	PUNCT
ejpam-6225	1004	295	(	(	PUNCT
ejpam-6225	1004	296	1/2,1/2	1/2,1/2	NUM
ejpam-6225	1004	297	)	)	PUNCT
ejpam-6225	1004	298	,	,	PUNCT
ejpam-6225	1004	299	1ג	1ג	NUM
ejpam-6225	1004	300	}	}	PUNCT
ejpam-6225	1004	301	,	,	PUNCT
ejpam-6225	1004	302	3ג	3ג	NUM
ejpam-6225	1004	303	,	,	PUNCT
ejpam-6225	1004	304	5ג	5ג	NOUN
ejpam-6225	1004	305	{	{	PUNCT
ejpam-6225	1004	306	6ג	6ג	NUM
ejpam-6225	1004	307	(	(	PUNCT
ejpam-6225	1004	308	2/3	2/3	NUM
ejpam-6225	1004	309	,	,	PUNCT
ejpam-6225	1004	310	1	1	NUM
ejpam-6225	1004	311	)	)	PUNCT
ejpam-6225	1004	312	(	(	PUNCT
ejpam-6225	1004	313	1,1	1,1	NUM
ejpam-6225	1004	314	)	)	PUNCT
ejpam-6225	1004	315	(	(	PUNCT
ejpam-6225	1004	316	4/5	4/5	NOUN
ejpam-6225	1004	317	,	,	PUNCT
ejpam-6225	1004	318	1	1	NUM
ejpam-6225	1004	319	)	)	PUNCT
ejpam-6225	1004	320	(	(	PUNCT
ejpam-6225	1004	321	1,2/3	1,2/3	NUM
ejpam-6225	1004	322	)	)	PUNCT
ejpam-6225	1004	323	,	,	PUNCT
ejpam-6225	1004	324	2ג	2ג	NUM
ejpam-6225	1004	325	}	}	PUNCT
ejpam-6225	1004	326	,	,	PUNCT
ejpam-6225	1004	327	3ג	3ג	NUM
ejpam-6225	1004	328	,	,	PUNCT
ejpam-6225	1004	329	4ג	4ג	NOUN
ejpam-6225	1004	330	{	{	PUNCT
ejpam-6225	1004	331	5ג	5ג	NOUN
ejpam-6225	1004	332	(	(	PUNCT
ejpam-6225	1004	333	1/2	1/2	NUM
ejpam-6225	1004	334	,	,	PUNCT
ejpam-6225	1004	335	0	0	NUM
ejpam-6225	1004	336	)	)	PUNCT
ejpam-6225	1004	337	(	(	PUNCT
ejpam-6225	1004	338	3/5	3/5	NUM
ejpam-6225	1004	339	,	,	PUNCT
ejpam-6225	1004	340	0	0	NUM
ejpam-6225	1004	341	)	)	PUNCT
ejpam-6225	1004	342	(	(	PUNCT
ejpam-6225	1004	343	1/2,0	1/2,0	PROPN
ejpam-6225	1004	344	)	)	PUNCT
ejpam-6225	1004	345	(	(	PUNCT
ejpam-6225	1004	346	3/5,0	3/5,0	NUM
ejpam-6225	1004	347	)	)	PUNCT
ejpam-6225	1004	348	,	,	PUNCT
ejpam-6225	1004	349	2ג	2ג	NUM
ejpam-6225	1004	350	}	}	PUNCT
ejpam-6225	1004	351	,	,	PUNCT
ejpam-6225	1004	352	4ג	4ג	NOUN
ejpam-6225	1004	353	,	,	PUNCT
ejpam-6225	1004	354	5ג	5ג	NOUN
ejpam-6225	1004	355	{	{	PUNCT
ejpam-6225	1004	356	6ג	6ג	NUM
ejpam-6225	1004	357	(	(	PUNCT
ejpam-6225	1004	358	1/3	1/3	NUM
ejpam-6225	1004	359	,	,	PUNCT
ejpam-6225	1004	360	0	0	NUM
ejpam-6225	1004	361	)	)	PUNCT
ejpam-6225	1004	362	(	(	PUNCT
ejpam-6225	1004	363	2/5	2/5	NUM
ejpam-6225	1004	364	,	,	PUNCT
ejpam-6225	1004	365	0	0	NUM
ejpam-6225	1004	366	)	)	PUNCT
ejpam-6225	1004	367	(	(	PUNCT
ejpam-6225	1004	368	5/6,0	5/6,0	NUM
ejpam-6225	1004	369	)	)	PUNCT
ejpam-6225	1004	370	(	(	PUNCT
ejpam-6225	1004	371	1,0	1,0	NUM
ejpam-6225	1004	372	)	)	PUNCT
ejpam-6225	1004	373	,	,	PUNCT
ejpam-6225	1004	374	3ג	3ג	NOUN
ejpam-6225	1004	375	}	}	PUNCT
ejpam-6225	1004	376	,	,	PUNCT
ejpam-6225	1004	377	4ג	4ג	NOUN
ejpam-6225	1004	378	,	,	PUNCT
ejpam-6225	1004	379	5ג	5ג	NOUN
ejpam-6225	1004	380	{	{	PUNCT
ejpam-6225	1004	381	6ג	6ג	NUM
ejpam-6225	1004	382	(	(	PUNCT
ejpam-6225	1004	383	1/3	1/3	NUM
ejpam-6225	1004	384	,	,	PUNCT
ejpam-6225	1004	385	1/4	1/4	NUM
ejpam-6225	1004	386	)	)	PUNCT
ejpam-6225	1004	387	(	(	PUNCT
ejpam-6225	1004	388	1/2	1/2	NUM
ejpam-6225	1004	389	,	,	PUNCT
ejpam-6225	1004	390	1/4	1/4	NUM
ejpam-6225	1004	391	)	)	PUNCT
ejpam-6225	1004	392	(	(	PUNCT
ejpam-6225	1004	393	2/3,1/4	2/3,1/4	NUM
ejpam-6225	1004	394	)	)	PUNCT
ejpam-6225	1004	395	(	(	PUNCT
ejpam-6225	1004	396	1,1/2	1,1/2	NUM
ejpam-6225	1004	397	)	)	PUNCT
ejpam-6225	1004	398	,	,	PUNCT
ejpam-6225	1004	399	2ג	2ג	NUM
ejpam-6225	1004	400	}	}	PUNCT
ejpam-6225	1004	401	,	,	PUNCT
ejpam-6225	1004	402	3ג	3ג	NUM
ejpam-6225	1004	403	,	,	PUNCT
ejpam-6225	1004	404	4ג	4ג	NOUN
ejpam-6225	1004	405	,	,	PUNCT
ejpam-6225	1004	406	5ג	5ג	NOUN
ejpam-6225	1004	407	{	{	PUNCT
ejpam-6225	1004	408	6ג	6ג	NUM
ejpam-6225	1004	409	(	(	PUNCT
ejpam-6225	1004	410	1/2	1/2	NUM
ejpam-6225	1004	411	,	,	PUNCT
ejpam-6225	1004	412	0	0	NUM
ejpam-6225	1004	413	)	)	PUNCT
ejpam-6225	1004	414	(	(	PUNCT
ejpam-6225	1004	415	3/5	3/5	NUM
ejpam-6225	1004	416	,	,	PUNCT
ejpam-6225	1004	417	0	0	NUM
ejpam-6225	1004	418	)	)	PUNCT
ejpam-6225	1004	419	(	(	PUNCT
ejpam-6225	1004	420	5/6,0	5/6,0	NUM
ejpam-6225	1004	421	)	)	PUNCT
ejpam-6225	1004	422	(	(	PUNCT
ejpam-6225	1004	423	1,0	1,0	NUM
ejpam-6225	1004	424	)	)	PUNCT
ejpam-6225	1004	425	7	7	NUM
ejpam-6225	1004	426	.	.	PUNCT
ejpam-6225	1004	427	magdm	magdm	NOUN
ejpam-6225	1004	428	using	use	VERB
ejpam-6225	1004	429	the	the	DET
ejpam-6225	1004	430	ibsa	ibsa	NOUN
ejpam-6225	1004	431	-	-	PUNCT
ejpam-6225	1004	432	spaces	space	NOUN
ejpam-6225	1004	433	group	group	NOUN
ejpam-6225	1004	434	decision	decision	NOUN
ejpam-6225	1004	435	-	-	PUNCT
ejpam-6225	1004	436	making	making	NOUN
ejpam-6225	1004	437	(	(	PUNCT
ejpam-6225	1004	438	gdm	gdm	NOUN
ejpam-6225	1004	439	)	)	PUNCT
ejpam-6225	1004	440	is	be	AUX
ejpam-6225	1004	441	a	a	DET
ejpam-6225	1004	442	useful	useful	ADJ
ejpam-6225	1004	443	technique	technique	NOUN
ejpam-6225	1004	444	for	for	ADP
ejpam-6225	1004	445	handling	handle	VERB
ejpam-6225	1004	446	complex	complex	ADJ
ejpam-6225	1004	447	decision	decision	NOUN
ejpam-6225	1004	448	-	-	PUNCT
ejpam-6225	1004	449	making	making	NOUN
ejpam-6225	1004	450	(	(	PUNCT
ejpam-6225	1004	451	dm	dm	NOUN
ejpam-6225	1004	452	)	)	PUNCT
ejpam-6225	1004	453	situations	situation	NOUN
ejpam-6225	1004	454	when	when	SCONJ
ejpam-6225	1004	455	a	a	DET
ejpam-6225	1004	456	number	number	NOUN
ejpam-6225	1004	457	of	of	ADP
ejpam-6225	1004	458	experts	expert	NOUN
ejpam-6225	1004	459	select	select	VERB
ejpam-6225	1004	460	a	a	DET
ejpam-6225	1004	461	set	set	NOUN
ejpam-6225	1004	462	of	of	ADP
ejpam-6225	1004	463	options	option	NOUN
ejpam-6225	1004	464	.	.	PUNCT
ejpam-6225	1005	1	the	the	DET
ejpam-6225	1005	2	objective	objective	NOUN
ejpam-6225	1005	3	is	be	AUX
ejpam-6225	1005	4	to	to	PART
ejpam-6225	1005	5	include	include	VERB
ejpam-6225	1005	6	the	the	DET
ejpam-6225	1005	7	viewpoints	viewpoint	NOUN
ejpam-6225	1005	8	of	of	ADP
ejpam-6225	1005	9	experts	expert	NOUN
ejpam-6225	1005	10	in	in	ADP
ejpam-6225	1005	11	order	order	NOUN
ejpam-6225	1005	12	to	to	PART
ejpam-6225	1005	13	identify	identify	VERB
ejpam-6225	1005	14	a	a	DET
ejpam-6225	1005	15	solution	solution	NOUN
ejpam-6225	1005	16	that	that	PRON
ejpam-6225	1005	17	the	the	DET
ejpam-6225	1005	18	group	group	NOUN
ejpam-6225	1005	19	of	of	ADP
ejpam-6225	1005	20	experts	expert	NOUN
ejpam-6225	1005	21	finds	find	VERB
ejpam-6225	1005	22	most	most	ADV
ejpam-6225	1005	23	agreeable	agreeable	ADJ
ejpam-6225	1005	24	.	.	PUNCT
ejpam-6225	1006	1	in	in	ADP
ejpam-6225	1006	2	a	a	DET
ejpam-6225	1006	3	complex	complex	ADJ
ejpam-6225	1006	4	society	society	NOUN
ejpam-6225	1006	5	,	,	PUNCT
ejpam-6225	1006	6	gdm	gdm	NOUN
ejpam-6225	1006	7	approaches	approach	NOUN
ejpam-6225	1006	8	must	must	AUX
ejpam-6225	1006	9	take	take	VERB
ejpam-6225	1006	10	into	into	ADP
ejpam-6225	1006	11	account	account	NOUN
ejpam-6225	1006	12	multiple	multiple	ADJ
ejpam-6225	1006	13	attributes	attribute	NOUN
ejpam-6225	1006	14	.	.	PUNCT
ejpam-6225	1007	1	due	due	ADP
ejpam-6225	1007	2	to	to	ADP
ejpam-6225	1007	3	the	the	DET
ejpam-6225	1007	4	rapid	rapid	ADJ
ejpam-6225	1007	5	expansion	expansion	NOUN
ejpam-6225	1007	6	in	in	ADP
ejpam-6225	1007	7	many	many	ADJ
ejpam-6225	1007	8	sectors	sector	NOUN
ejpam-6225	1007	9	,	,	PUNCT
ejpam-6225	1007	10	studies	study	NOUN
ejpam-6225	1007	11	on	on	ADP
ejpam-6225	1007	12	gdm	gdm	NOUN
ejpam-6225	1007	13	that	that	PRON
ejpam-6225	1007	14	explicitly	explicitly	ADV
ejpam-6225	1007	15	incorporate	incorporate	VERB
ejpam-6225	1007	16	several	several	ADJ
ejpam-6225	1007	17	qualities	quality	NOUN
ejpam-6225	1007	18	have	have	AUX
ejpam-6225	1007	19	made	make	VERB
ejpam-6225	1007	20	significant	significant	ADJ
ejpam-6225	1007	21	progress	progress	NOUN
ejpam-6225	1007	22	and	and	CCONJ
ejpam-6225	1007	23	are	be	AUX
ejpam-6225	1007	24	the	the	DET
ejpam-6225	1007	25	major	major	ADJ
ejpam-6225	1007	26	emphasis	emphasis	NOUN
ejpam-6225	1007	27	.	.	PUNCT
ejpam-6225	1008	1	magdm	magdm	NOUN
ejpam-6225	1008	2	is	be	AUX
ejpam-6225	1008	3	,	,	PUNCT
ejpam-6225	1008	4	in	in	ADP
ejpam-6225	1008	5	general	general	ADJ
ejpam-6225	1008	6	,	,	PUNCT
ejpam-6225	1008	7	a	a	DET
ejpam-6225	1008	8	strategy	strategy	NOUN
ejpam-6225	1008	9	where	where	SCONJ
ejpam-6225	1008	10	a	a	DET
ejpam-6225	1008	11	group	group	NOUN
ejpam-6225	1008	12	of	of	ADP
ejpam-6225	1008	13	experts	expert	NOUN
ejpam-6225	1008	14	(	(	PUNCT
ejpam-6225	1008	15	dms	dms	NOUN
ejpam-6225	1008	16	)	)	PUNCT
ejpam-6225	1008	17	works	work	VERB
ejpam-6225	1008	18	together	together	ADV
ejpam-6225	1008	19	to	to	PART
ejpam-6225	1008	20	identify	identify	VERB
ejpam-6225	1008	21	the	the	DET
ejpam-6225	1008	22	best	good	ADJ
ejpam-6225	1008	23	choice	choice	NOUN
ejpam-6225	1008	24	over	over	ADP
ejpam-6225	1008	25	a	a	DET
ejpam-6225	1008	26	range	range	NOUN
ejpam-6225	1008	27	of	of	ADP
ejpam-6225	1008	28	options	option	NOUN
ejpam-6225	1008	29	which	which	PRON
ejpam-6225	1008	30	are	be	AUX
ejpam-6225	1008	31	classified	classify	VERB
ejpam-6225	1008	32	depending	depend	VERB
ejpam-6225	1008	33	on	on	ADP
ejpam-6225	1008	34	their	their	PRON
ejpam-6225	1008	35	attributes	attribute	NOUN
ejpam-6225	1008	36	in	in	ADP
ejpam-6225	1008	37	a	a	DET
ejpam-6225	1008	38	particular	particular	ADJ
ejpam-6225	1008	39	situation	situation	NOUN
ejpam-6225	1008	40	.	.	PUNCT
ejpam-6225	1009	1	this	this	DET
ejpam-6225	1009	2	section	section	NOUN
ejpam-6225	1009	3	explains	explain	VERB
ejpam-6225	1009	4	how	how	SCONJ
ejpam-6225	1009	5	to	to	PART
ejpam-6225	1009	6	create	create	VERB
ejpam-6225	1009	7	a	a	DET
ejpam-6225	1009	8	reliable	reliable	ADJ
ejpam-6225	1009	9	magdm	magdm	NOUN
ejpam-6225	1009	10	method	method	NOUN
ejpam-6225	1009	11	that	that	PRON
ejpam-6225	1009	12	makes	make	VERB
ejpam-6225	1009	13	use	use	NOUN
ejpam-6225	1009	14	of	of	ADP
ejpam-6225	1009	15	ibsa	ibsa	NOUN
ejpam-6225	1009	16	-	-	PUNCT
ejpam-6225	1009	17	spaces	space	NOUN
ejpam-6225	1009	18	.	.	PUNCT
ejpam-6225	1010	1	in	in	ADP
ejpam-6225	1010	2	the	the	DET
ejpam-6225	1010	3	framework	framework	NOUN
ejpam-6225	1010	4	of	of	ADP
ejpam-6225	1010	5	the	the	DET
ejpam-6225	1010	6	ibsa	ibsa	NOUN
ejpam-6225	1010	7	-	-	PUNCT
ejpam-6225	1010	8	spaces	space	NOUN
ejpam-6225	1010	9	,	,	PUNCT
ejpam-6225	1010	10	we	we	PRON
ejpam-6225	1010	11	give	give	VERB
ejpam-6225	1010	12	an	an	DET
ejpam-6225	1010	13	overview	overview	NOUN
ejpam-6225	1010	14	of	of	ADP
ejpam-6225	1010	15	a	a	DET
ejpam-6225	1010	16	magdm	magdm	NOUN
ejpam-6225	1010	17	problem	problem	NOUN
ejpam-6225	1010	18	.	.	PUNCT
ejpam-6225	1011	1	next	next	ADV
ejpam-6225	1011	2	,	,	PUNCT
ejpam-6225	1011	3	we	we	PRON
ejpam-6225	1011	4	give	give	VERB
ejpam-6225	1011	5	a	a	DET
ejpam-6225	1011	6	general	general	ADJ
ejpam-6225	1011	7	mathematical	mathematical	ADJ
ejpam-6225	1011	8	formulation	formulation	NOUN
ejpam-6225	1011	9	of	of	ADP
ejpam-6225	1011	10	the	the	DET
ejpam-6225	1011	11	magdm	magdm	NOUN
ejpam-6225	1011	12	problem	problem	NOUN
ejpam-6225	1011	13	based	base	VERB
ejpam-6225	1011	14	on	on	ADP
ejpam-6225	1011	15	the	the	DET
ejpam-6225	1011	16	∗−ideal	∗−ideal	ADJ
ejpam-6225	1011	17	bipolar	bipolar	ADJ
ejpam-6225	1011	18	sas	sa	NOUN
ejpam-6225	1011	19	of	of	ADP
ejpam-6225	1011	20	=	=	SYM
ejpam-6225	1011	21	⊆	⊆	NUM
ejpam-6225	1011	22	q	q	NOUN
ejpam-6225	1011	23	in	in	ADP
ejpam-6225	1011	24	the	the	DET
ejpam-6225	1011	25	ibsa	ibsa	NOUN
ejpam-6225	1011	26	-	-	PUNCT
ejpam-6225	1011	27	spaces	space	NOUN
ejpam-6225	1011	28	.	.	PUNCT
ejpam-6225	1012	1	7.1	7.1	NUM
ejpam-6225	1012	2	.	.	PUNCT
ejpam-6225	1013	1	problem	problem	NOUN
ejpam-6225	1013	2	description	description	NOUN
ejpam-6225	1013	3	consider	consider	VERB
ejpam-6225	1013	4	q	q	NOUN
ejpam-6225	1013	5	=	=	SYM
ejpam-6225	1013	6	,	,	PUNCT
ejpam-6225	1013	7	1ג	1ג	NUM
ejpam-6225	1013	8	}	}	PUNCT
ejpam-6225	1013	9	,	,	PUNCT
ejpam-6225	1013	10	2ג	2ג	NOUN
ejpam-6225	1013	11	.	.	PUNCT
ejpam-6225	1013	12	.	.	PUNCT
ejpam-6225	1014	1	.	.	PUNCT
ejpam-6225	1015	1	,	,	PUNCT
ejpam-6225	1015	2	{	{	PUNCT
ejpam-6225	1015	3	nג	nג	NOUN
ejpam-6225	1015	4	is	be	AUX
ejpam-6225	1015	5	a	a	DET
ejpam-6225	1015	6	set	set	NOUN
ejpam-6225	1015	7	of	of	ADP
ejpam-6225	1015	8	n	n	PRON
ejpam-6225	1015	9	objects	object	NOUN
ejpam-6225	1015	10	,	,	PUNCT
ejpam-6225	1015	11	and	and	CCONJ
ejpam-6225	1015	12	℘	℘	PROPN
ejpam-6225	1015	13	=	=	SYM
ejpam-6225	1015	14	{	{	PUNCT
ejpam-6225	1015	15	ς1	ς1	NOUN
ejpam-6225	1015	16	,	,	PUNCT
ejpam-6225	1015	17	ς2	ς2	PROPN
ejpam-6225	1015	18	,	,	PUNCT
ejpam-6225	1015	19	.	.	PUNCT
ejpam-6225	1015	20	.	.	PUNCT
ejpam-6225	1016	1	.	.	PUNCT
ejpam-6225	1017	1	,	,	PUNCT
ejpam-6225	1017	2	ςm	ςm	PROPN
ejpam-6225	1017	3	}	}	PUNCT
ejpam-6225	1017	4	is	be	AUX
ejpam-6225	1017	5	a	a	DET
ejpam-6225	1017	6	set	set	NOUN
ejpam-6225	1017	7	of	of	ADP
ejpam-6225	1017	8	all	all	DET
ejpam-6225	1017	9	possible	possible	ADJ
ejpam-6225	1017	10	object	object	NOUN
ejpam-6225	1017	11	attributes	attribute	NOUN
ejpam-6225	1017	12	.	.	PUNCT
ejpam-6225	1018	1	assume	assume	VERB
ejpam-6225	1018	2	we	we	PRON
ejpam-6225	1018	3	have	have	VERB
ejpam-6225	1018	4	a	a	DET
ejpam-6225	1018	5	board	board	NOUN
ejpam-6225	1018	6	of	of	ADP
ejpam-6225	1018	7	professional	professional	ADJ
ejpam-6225	1018	8	experts	expert	NOUN
ejpam-6225	1018	9	.	.	PUNCT
ejpam-6225	1019	1	d	d	X
ejpam-6225	1019	2	=	=	PRON
ejpam-6225	1019	3	{	{	PUNCT
ejpam-6225	1019	4	d1	d1	PROPN
ejpam-6225	1019	5	,	,	PUNCT
ejpam-6225	1019	6	d2	d2	PROPN
ejpam-6225	1019	7	,	,	PUNCT
ejpam-6225	1019	8	.	.	PUNCT
ejpam-6225	1019	9	.	.	PUNCT
ejpam-6225	1019	10	.	.	PUNCT
ejpam-6225	1020	1	,	,	PUNCT
ejpam-6225	1020	2	dk	dk	X
ejpam-6225	1020	3	}	}	PUNCT
ejpam-6225	1020	4	consisting	consist	VERB
ejpam-6225	1020	5	of	of	ADP
ejpam-6225	1020	6	k	k	PROPN
ejpam-6225	1020	7	invited	invite	VERB
ejpam-6225	1020	8	dms	dm	NOUN
ejpam-6225	1020	9	.	.	PUNCT
ejpam-6225	1021	1	all	all	PRON
ejpam-6225	1021	2	of	of	ADP
ejpam-6225	1021	3	the	the	DET
ejpam-6225	1021	4	items	item	NOUN
ejpam-6225	1021	5	in	in	ADP
ejpam-6225	1021	6	q	q	PROPN
ejpam-6225	1021	7	must	must	AUX
ejpam-6225	1021	8	be	be	AUX
ejpam-6225	1021	9	examined	examine	VERB
ejpam-6225	1021	10	by	by	ADP
ejpam-6225	1021	11	each	each	DET
ejpam-6225	1021	12	expert	expert	NOUN
ejpam-6225	1021	13	,	,	PUNCT
ejpam-6225	1021	14	who	who	PRON
ejpam-6225	1021	15	will	will	AUX
ejpam-6225	1021	16	then	then	ADV
ejpam-6225	1021	17	be	be	AUX
ejpam-6225	1021	18	asked	ask	VERB
ejpam-6225	1021	19	to	to	PART
ejpam-6225	1021	20	evaluate	evaluate	VERB
ejpam-6225	1021	21	each	each	DET
ejpam-6225	1021	22	one	one	NUM
ejpam-6225	1021	23	and	and	CCONJ
ejpam-6225	1021	24	identify	identify	VERB
ejpam-6225	1021	25	just	just	ADV
ejpam-6225	1021	26	”	"	PUNCT
ejpam-6225	1021	27	the	the	DET
ejpam-6225	1021	28	optimal	optimal	ADJ
ejpam-6225	1021	29	alternatives	alternative	NOUN
ejpam-6225	1021	30	”	"	PUNCT
ejpam-6225	1021	31	based	base	VERB
ejpam-6225	1021	32	on	on	ADP
ejpam-6225	1021	33	their	their	PRON
ejpam-6225	1021	34	knowledge	knowledge	NOUN
ejpam-6225	1021	35	and	and	CCONJ
ejpam-6225	1021	36	abilities	ability	NOUN
ejpam-6225	1021	37	.	.	PUNCT
ejpam-6225	1022	1	consequently	consequently	ADV
ejpam-6225	1022	2	,	,	PUNCT
ejpam-6225	1022	3	the	the	DET
ejpam-6225	1022	4	fundamental	fundamental	ADJ
ejpam-6225	1022	5	evaluation	evaluation	NOUN
ejpam-6225	1022	6	result	result	NOUN
ejpam-6225	1022	7	for	for	ADP
ejpam-6225	1022	8	each	each	DET
ejpam-6225	1022	9	expert	expert	NOUN
ejpam-6225	1022	10	is	be	AUX
ejpam-6225	1022	11	a	a	DET
ejpam-6225	1022	12	subset	subset	NOUN
ejpam-6225	1022	13	of	of	ADP
ejpam-6225	1022	14	q	q	NOUN
ejpam-6225	1022	15	:	:	PUNCT
ejpam-6225	1022	16	let	let	VERB
ejpam-6225	1022	17	=	=	SYM
ejpam-6225	1022	18	1	1	NUM
ejpam-6225	1022	19	,	,	PUNCT
ejpam-6225	1022	20	=	=	NOUN
ejpam-6225	1022	21	2	2	NUM
ejpam-6225	1022	22	,	,	PUNCT
ejpam-6225	1022	23	.	.	PUNCT
ejpam-6225	1022	24	.	.	PUNCT
ejpam-6225	1023	1	.	.	PUNCT
ejpam-6225	1024	1	,	,	PUNCT
ejpam-6225	1025	1	=	=	SYM
ejpam-6225	1025	2	k	k	NOUN
ejpam-6225	1025	3	⊆	⊆	NUM
ejpam-6225	1025	4	q	q	ADV
ejpam-6225	1025	5	stands	stand	VERB
ejpam-6225	1025	6	for	for	ADP
ejpam-6225	1025	7	the	the	DET
ejpam-6225	1025	8	primary	primary	ADJ
ejpam-6225	1025	9	evaluations	evaluation	NOUN
ejpam-6225	1025	10	of	of	ADP
ejpam-6225	1025	11	dms	dms	ADJ
ejpam-6225	1025	12	d1	d1	NOUN
ejpam-6225	1025	13	,	,	PUNCT
ejpam-6225	1025	14	d2	d2	PROPN
ejpam-6225	1025	15	,	,	PUNCT
ejpam-6225	1025	16	.	.	PUNCT
ejpam-6225	1025	17	.	.	PUNCT
ejpam-6225	1025	18	.	.	PUNCT
ejpam-6225	1026	1	,	,	PUNCT
ejpam-6225	1026	2	dk	dk	X
ejpam-6225	1026	3	,	,	PUNCT
ejpam-6225	1026	4	respectively	respectively	ADV
ejpam-6225	1026	5	,	,	PUNCT
ejpam-6225	1026	6	and	and	CCONJ
ejpam-6225	1026	7	β1	β1	PROPN
ejpam-6225	1026	8	,	,	PUNCT
ejpam-6225	1026	9	β2	β2	NOUN
ejpam-6225	1026	10	,	,	PUNCT
ejpam-6225	1026	11	.	.	PUNCT
ejpam-6225	1026	12	.	.	PUNCT
ejpam-6225	1027	1	.	.	PUNCT
ejpam-6225	1028	1	,	,	PUNCT
ejpam-6225	1028	2	βr	βr	X
ejpam-6225	1029	1	∈	∈	PROPN
ejpam-6225	1029	2	bssq	bssq	NOUN
ejpam-6225	1029	3	are	be	AUX
ejpam-6225	1029	4	the	the	DET
ejpam-6225	1029	5	real	real	ADJ
ejpam-6225	1029	6	data	datum	NOUN
ejpam-6225	1029	7	that	that	PRON
ejpam-6225	1029	8	were	be	AUX
ejpam-6225	1029	9	previously	previously	ADV
ejpam-6225	1029	10	obtained	obtain	VERB
ejpam-6225	1029	11	for	for	ADP
ejpam-6225	1029	12	problems	problem	NOUN
ejpam-6225	1029	13	at	at	ADP
ejpam-6225	1029	14	various	various	ADJ
ejpam-6225	1029	15	locations	location	NOUN
ejpam-6225	1029	16	or	or	CCONJ
ejpam-6225	1029	17	times	time	NOUN
ejpam-6225	1029	18	.	.	PUNCT
ejpam-6225	1030	1	to	to	PART
ejpam-6225	1030	2	keep	keep	VERB
ejpam-6225	1030	3	things	thing	NOUN
ejpam-6225	1030	4	simple	simple	ADJ
ejpam-6225	1030	5	,	,	PUNCT
ejpam-6225	1030	6	we	we	PRON
ejpam-6225	1030	7	’ll	’ll	AUX
ejpam-6225	1030	8	suppose	suppose	VERB
ejpam-6225	1030	9	that	that	SCONJ
ejpam-6225	1030	10	every	every	DET
ejpam-6225	1030	11	expert	expert	NOUN
ejpam-6225	1030	12	’s	’s	PART
ejpam-6225	1030	13	assessment	assessment	NOUN
ejpam-6225	1030	14	in	in	ADP
ejpam-6225	1030	15	d	d	PROPN
ejpam-6225	1030	16	is	be	AUX
ejpam-6225	1030	17	equally	equally	ADV
ejpam-6225	1030	18	significant	significant	ADJ
ejpam-6225	1030	19	.	.	PUNCT
ejpam-6225	1031	1	the	the	DET
ejpam-6225	1031	2	dm	dm	PROPN
ejpam-6225	1031	3	for	for	ADP
ejpam-6225	1031	4	this	this	DET
ejpam-6225	1031	5	magdm	magdm	NOUN
ejpam-6225	1031	6	issue	issue	NOUN
ejpam-6225	1031	7	is	be	AUX
ejpam-6225	1031	8	therefore	therefore	ADV
ejpam-6225	1031	9	:	:	PUNCT
ejpam-6225	1031	10	”	"	PUNCT
ejpam-6225	1031	11	how	how	SCONJ
ejpam-6225	1031	12	to	to	PART
ejpam-6225	1031	13	compromise	compromise	VERB
ejpam-6225	1031	14	differences	difference	NOUN
ejpam-6225	1031	15	in	in	ADP
ejpam-6225	1031	16	these	these	DET
ejpam-6225	1031	17	evaluations	evaluation	NOUN
ejpam-6225	1031	18	expressed	express	VERB
ejpam-6225	1031	19	by	by	ADP
ejpam-6225	1031	20	individual	individual	ADJ
ejpam-6225	1031	21	experts	expert	NOUN
ejpam-6225	1031	22	to	to	PART
ejpam-6225	1031	23	find	find	VERB
ejpam-6225	1031	24	the	the	DET
ejpam-6225	1031	25	alternatives	alternative	NOUN
ejpam-6225	1031	26	that	that	PRON
ejpam-6225	1031	27	are	be	AUX
ejpam-6225	1031	28	most	most	ADV
ejpam-6225	1031	29	acceptable	acceptable	ADJ
ejpam-6225	1031	30	by	by	ADP
ejpam-6225	1031	31	the	the	DET
ejpam-6225	1031	32	group	group	NOUN
ejpam-6225	1031	33	of	of	ADP
ejpam-6225	1031	34	experts	expert	NOUN
ejpam-6225	1031	35	as	as	ADP
ejpam-6225	1031	36	a	a	DET
ejpam-6225	1031	37	whole	whole	NOUN
ejpam-6225	1031	38	”	"	PUNCT
ejpam-6225	1031	39	.	.	PUNCT
ejpam-6225	1032	1	d.	d.	PROPN
ejpam-6225	1032	2	shi	shi	PROPN
ejpam-6225	1032	3	et	et	PROPN
ejpam-6225	1032	4	al	al	PROPN
ejpam-6225	1032	5	.	.	PUNCT
ejpam-6225	1032	6	/	/	SYM
ejpam-6225	1032	7	eur	eur	PROPN
ejpam-6225	1032	8	.	.	PUNCT
ejpam-6225	1033	1	j.	j.	PROPN
ejpam-6225	1033	2	pure	pure	PROPN
ejpam-6225	1033	3	appl	appl	PROPN
ejpam-6225	1033	4	.	.	PROPN
ejpam-6225	1033	5	math	math	PROPN
ejpam-6225	1033	6	,	,	PUNCT
ejpam-6225	1033	7	18	18	NUM
ejpam-6225	1033	8	(	(	PUNCT
ejpam-6225	1033	9	4	4	NUM
ejpam-6225	1033	10	)	)	PUNCT
ejpam-6225	1033	11	(	(	PUNCT
ejpam-6225	1033	12	2025	2025	NUM
ejpam-6225	1033	13	)	)	PUNCT
ejpam-6225	1033	14	,	,	PUNCT
ejpam-6225	1033	15	6225	6225	NUM
ejpam-6225	1033	16	28	28	NUM
ejpam-6225	1033	17	of	of	ADP
ejpam-6225	1033	18	36	36	NUM
ejpam-6225	1033	19	7.2	7.2	NUM
ejpam-6225	1033	20	.	.	PUNCT
ejpam-6225	1034	1	mathematical	mathematical	ADJ
ejpam-6225	1034	2	modelling	modelling	NOUN
ejpam-6225	1034	3	now	now	ADV
ejpam-6225	1034	4	,	,	PUNCT
ejpam-6225	1034	5	we	we	PRON
ejpam-6225	1034	6	provide	provide	VERB
ejpam-6225	1034	7	a	a	DET
ejpam-6225	1034	8	mathematical	mathematical	ADJ
ejpam-6225	1034	9	model	model	NOUN
ejpam-6225	1034	10	and	and	CCONJ
ejpam-6225	1034	11	the	the	DET
ejpam-6225	1034	12	progress	progress	NOUN
ejpam-6225	1034	13	of	of	ADP
ejpam-6225	1034	14	the	the	DET
ejpam-6225	1034	15	magdm	magdm	NOUN
ejpam-6225	1034	16	method	method	NOUN
ejpam-6225	1034	17	using	use	VERB
ejpam-6225	1034	18	ibsa	ibsa	NOUN
ejpam-6225	1034	19	theory	theory	NOUN
ejpam-6225	1034	20	.	.	PUNCT
ejpam-6225	1035	1	definition	definition	NOUN
ejpam-6225	1035	2	7.1	7.1	NUM
ejpam-6225	1035	3	.	.	PUNCT
ejpam-6225	1036	1	let	let	VERB
ejpam-6225	1036	2	us	we	PRON
ejpam-6225	1036	3	consider	consider	VERB
ejpam-6225	1036	4	∗	∗	NOUN
ejpam-6225	1036	5	−	−	PROPN
ejpam-6225	1036	6	psrl	psrl	PROPN
ejpam-6225	1036	7	βq	βq	VERB
ejpam-6225	1036	8	(=	(=	X
ejpam-6225	1036	9	j	j	NOUN
ejpam-6225	1036	10	)	)	PUNCT
ejpam-6225	1037	1	=	=	SYM
ejpam-6225	1037	2	(	(	PUNCT
ejpam-6225	1037	3	∗	∗	NOUN
ejpam-6225	1037	4	−	−	PROPN
ejpam-6225	1037	5	srl	srl	PROPN
ejpam-6225	1037	6	β+	β+	PUNCT
ejpam-6225	1037	7	q	q	PROPN
ejpam-6225	1037	8	(=	(=	X
ejpam-6225	1037	9	j	j	NOUN
ejpam-6225	1037	10	)	)	PUNCT
ejpam-6225	1037	11	,	,	PUNCT
ejpam-6225	1037	12	∗	∗	NOUN
ejpam-6225	1037	13	−	−	PROPN
ejpam-6225	1037	14	srl	srl	PROPN
ejpam-6225	1037	15	β−	β−	NOUN
ejpam-6225	1037	16	q	q	NOUN
ejpam-6225	1037	17	(=	(=	X
ejpam-6225	1037	18	j	j	NOUN
ejpam-6225	1037	19	)	)	PUNCT
ejpam-6225	1037	20	)	)	PUNCT
ejpam-6225	1037	21	;	;	PUNCT
ejpam-6225	1037	22	and	and	CCONJ
ejpam-6225	1037	23	∗	∗	NOUN
ejpam-6225	1037	24	−	−	PROPN
ejpam-6225	1037	25	psr	psr	PROPN
ejpam-6225	1037	26	l	l	PROPN
ejpam-6225	1037	27	βq	βq	VERB
ejpam-6225	1037	28	(=	(=	X
ejpam-6225	1037	29	j	j	NOUN
ejpam-6225	1037	30	)	)	PUNCT
ejpam-6225	1037	31	=	=	SYM
ejpam-6225	1038	1	(	(	PUNCT
ejpam-6225	1038	2	∗	∗	NOUN
ejpam-6225	1038	3	−	−	PROPN
ejpam-6225	1038	4	sr	sr	PROPN
ejpam-6225	1038	5	l	l	PROPN
ejpam-6225	1038	6	β+	β+	PUNCT
ejpam-6225	1038	7	q	q	X
ejpam-6225	1038	8	(=	(=	X
ejpam-6225	1038	9	j	j	NOUN
ejpam-6225	1038	10	)	)	PUNCT
ejpam-6225	1038	11	,	,	PUNCT
ejpam-6225	1038	12	∗	∗	NOUN
ejpam-6225	1038	13	−	−	PROPN
ejpam-6225	1039	1	sr	sr	PROPN
ejpam-6225	1039	2	l	l	NOUN
ejpam-6225	1039	3	β−	β−	PROPN
ejpam-6225	1039	4	q	q	X
ejpam-6225	1039	5	(=	(=	X
ejpam-6225	1039	6	j	j	NOUN
ejpam-6225	1039	7	)	)	PUNCT
ejpam-6225	1039	8	)	)	PUNCT
ejpam-6225	1039	9	be	be	AUX
ejpam-6225	1039	10	the	the	DET
ejpam-6225	1039	11	∗−ideal	∗−ideal	ADJ
ejpam-6225	1039	12	bipolar	bipolar	ADJ
ejpam-6225	1039	13	soft	soft	ADJ
ejpam-6225	1039	14	lower	lower	ADV
ejpam-6225	1039	15	and	and	CCONJ
ejpam-6225	1039	16	uas	uas	NOUN
ejpam-6225	1039	17	of	of	ADP
ejpam-6225	1039	18	=	=	PROPN
ejpam-6225	1039	19	,	,	PUNCT
ejpam-6225	1039	20	=	=	ADJ
ejpam-6225	1039	21	j(j	j(j	NOUN
ejpam-6225	1039	22	=	=	SYM
ejpam-6225	1039	23	1	1	NUM
ejpam-6225	1039	24	,	,	PUNCT
ejpam-6225	1039	25	2	2	NUM
ejpam-6225	1039	26	,	,	PUNCT
ejpam-6225	1039	27	.	.	PUNCT
ejpam-6225	1039	28	.	.	PUNCT
ejpam-6225	1040	1	.	.	PUNCT
ejpam-6225	1041	1	,	,	PUNCT
ejpam-6225	1041	2	k	k	X
ejpam-6225	1041	3	)	)	PUNCT
ejpam-6225	1041	4	is	be	AUX
ejpam-6225	1041	5	related	relate	VERB
ejpam-6225	1041	6	to	to	ADP
ejpam-6225	1041	7	βq	βq	ADJ
ejpam-6225	1041	8	=	=	PUNCT
ejpam-6225	1041	9	(	(	PUNCT
ejpam-6225	1041	10	fq	fq	PROPN
ejpam-6225	1041	11	,	,	PUNCT
ejpam-6225	1041	12	gq	gq	NOUN
ejpam-6225	1041	13	:	:	PUNCT
ejpam-6225	1041	14	℘	℘	PROPN
ejpam-6225	1041	15	)	)	PUNCT
ejpam-6225	1041	16	∈	∈	PROPN
ejpam-6225	1041	17	bssq	bssq	NOUN
ejpam-6225	1041	18	;	;	PUNCT
ejpam-6225	1041	19	(	(	PUNCT
ejpam-6225	1041	20	q	q	NOUN
ejpam-6225	1041	21	=	=	SYM
ejpam-6225	1041	22	1	1	NUM
ejpam-6225	1041	23	,	,	PUNCT
ejpam-6225	1041	24	2	2	NUM
ejpam-6225	1041	25	,	,	PUNCT
ejpam-6225	1041	26	.	.	PUNCT
ejpam-6225	1041	27	.	.	PUNCT
ejpam-6225	1042	1	.	.	PUNCT
ejpam-6225	1043	1	,	,	PUNCT
ejpam-6225	1043	2	r	r	NOUN
ejpam-6225	1043	3	)	)	PUNCT
ejpam-6225	1043	4	.	.	PUNCT
ejpam-6225	1044	1	then	then	ADV
ejpam-6225	1044	2	,	,	PUNCT
ejpam-6225	1044	3	[	[	X
ejpam-6225	1044	4	m	m	X
ejpam-6225	1044	5	]	]	X
ejpam-6225	1044	6	=	=	X
ejpam-6225	1044	7			X
ejpam-6225	1044	8	[	[	PUNCT
ejpam-6225	1044	9	∗	∗	NOUN
ejpam-6225	1044	10	−	−	PROPN
ejpam-6225	1044	11	srl	srl	PROPN
ejpam-6225	1044	12	β+	β+	SYM
ejpam-6225	1044	13	1	1	NUM
ejpam-6225	1044	14	(=	(=	NOUN
ejpam-6225	1044	15	1	1	NUM
ejpam-6225	1044	16	)	)	PUNCT
ejpam-6225	1044	17	,	,	PUNCT
ejpam-6225	1044	18	∗	∗	NOUN
ejpam-6225	1044	19	−	−	PROPN
ejpam-6225	1044	20	srl	srl	PROPN
ejpam-6225	1044	21	β−	β−	NOUN
ejpam-6225	1044	22	1	1	NUM
ejpam-6225	1044	23	(=	(=	NOUN
ejpam-6225	1044	24	1	1	NUM
ejpam-6225	1044	25	)	)	PUNCT
ejpam-6225	1044	26	]	]	PUNCT
ejpam-6225	1045	1	[	[	PUNCT
ejpam-6225	1045	2	∗	∗	X
ejpam-6225	1045	3	−	−	PROPN
ejpam-6225	1045	4	srl	srl	PROPN
ejpam-6225	1045	5	β+	β+	SYM
ejpam-6225	1045	6	1	1	NUM
ejpam-6225	1045	7	(=	(=	NOUN
ejpam-6225	1045	8	2	2	NUM
ejpam-6225	1045	9	)	)	PUNCT
ejpam-6225	1045	10	,	,	PUNCT
ejpam-6225	1045	11	∗	∗	NOUN
ejpam-6225	1045	12	−	−	PROPN
ejpam-6225	1045	13	srl	srl	PROPN
ejpam-6225	1045	14	β−	β−	NOUN
ejpam-6225	1045	15	1	1	NUM
ejpam-6225	1045	16	(=	(=	NOUN
ejpam-6225	1045	17	2	2	NUM
ejpam-6225	1045	18	)	)	PUNCT
ejpam-6225	1045	19	]	]	PUNCT
ejpam-6225	1045	20	·	·	PUNCT
ejpam-6225	1045	21	·	·	PUNCT
ejpam-6225	1045	22	·	·	PUNCT
ejpam-6225	1045	23	[	[	PUNCT
ejpam-6225	1045	24	∗	∗	NOUN
ejpam-6225	1045	25	−	−	PROPN
ejpam-6225	1045	26	srl	srl	PROPN
ejpam-6225	1045	27	β+	β+	SYM
ejpam-6225	1045	28	1	1	NUM
ejpam-6225	1045	29	(=	(=	NOUN
ejpam-6225	1045	30	k	k	NOUN
ejpam-6225	1045	31	)	)	PUNCT
ejpam-6225	1045	32	,	,	PUNCT
ejpam-6225	1045	33	∗	∗	NOUN
ejpam-6225	1045	34	−	−	PROPN
ejpam-6225	1045	35	srl	srl	PROPN
ejpam-6225	1045	36	β−	β−	NOUN
ejpam-6225	1045	37	1	1	NUM
ejpam-6225	1045	38	(=	(=	NOUN
ejpam-6225	1045	39	k	k	NOUN
ejpam-6225	1045	40	)	)	PUNCT
ejpam-6225	1045	41	]	]	PUNCT
ejpam-6225	1045	42	[	[	PUNCT
ejpam-6225	1045	43	∗	∗	X
ejpam-6225	1045	44	−	−	PROPN
ejpam-6225	1045	45	srl	srl	PROPN
ejpam-6225	1045	46	β+	β+	SYM
ejpam-6225	1045	47	2	2	NUM
ejpam-6225	1045	48	(=	(=	NOUN
ejpam-6225	1045	49	1	1	NUM
ejpam-6225	1045	50	)	)	PUNCT
ejpam-6225	1045	51	,	,	PUNCT
ejpam-6225	1045	52	∗	∗	NOUN
ejpam-6225	1045	53	−	−	PROPN
ejpam-6225	1045	54	srl	srl	PROPN
ejpam-6225	1045	55	β−	β−	NOUN
ejpam-6225	1045	56	2	2	NUM
ejpam-6225	1045	57	(=	(=	NOUN
ejpam-6225	1045	58	1	1	NUM
ejpam-6225	1045	59	)	)	PUNCT
ejpam-6225	1045	60	]	]	PUNCT
ejpam-6225	1045	61	[	[	PUNCT
ejpam-6225	1045	62	∗	∗	X
ejpam-6225	1045	63	−	−	PROPN
ejpam-6225	1045	64	srl	srl	PROPN
ejpam-6225	1045	65	β+	β+	SYM
ejpam-6225	1045	66	2	2	NUM
ejpam-6225	1045	67	(=	(=	NOUN
ejpam-6225	1045	68	2	2	NUM
ejpam-6225	1045	69	)	)	PUNCT
ejpam-6225	1045	70	,	,	PUNCT
ejpam-6225	1045	71	∗	∗	NOUN
ejpam-6225	1045	72	−	−	PROPN
ejpam-6225	1045	73	srl	srl	PROPN
ejpam-6225	1045	74	β−	β−	NOUN
ejpam-6225	1045	75	2	2	NUM
ejpam-6225	1045	76	(=	(=	NOUN
ejpam-6225	1045	77	2	2	NUM
ejpam-6225	1045	78	)	)	PUNCT
ejpam-6225	1045	79	]	]	PUNCT
ejpam-6225	1045	80	·	·	PUNCT
ejpam-6225	1045	81	·	·	PUNCT
ejpam-6225	1045	82	·	·	PUNCT
ejpam-6225	1045	83	[	[	PUNCT
ejpam-6225	1045	84	∗	∗	NOUN
ejpam-6225	1045	85	−	−	PROPN
ejpam-6225	1045	86	srl	srl	PROPN
ejpam-6225	1045	87	β+	β+	SYM
ejpam-6225	1045	88	2	2	NUM
ejpam-6225	1045	89	(=	(=	NOUN
ejpam-6225	1045	90	k	k	NOUN
ejpam-6225	1045	91	)	)	PUNCT
ejpam-6225	1045	92	,	,	PUNCT
ejpam-6225	1045	93	∗	∗	NOUN
ejpam-6225	1045	94	−	−	PROPN
ejpam-6225	1045	95	srl	srl	PROPN
ejpam-6225	1045	96	β−	β−	NOUN
ejpam-6225	1045	97	2	2	NUM
ejpam-6225	1045	98	(=	(=	NOUN
ejpam-6225	1045	99	k	k	NOUN
ejpam-6225	1045	100	)	)	PUNCT
ejpam-6225	1045	101	]	]	PUNCT
ejpam-6225	1045	102	...	...	PUNCT
ejpam-6225	1045	103	...	...	PUNCT
ejpam-6225	1045	104	.	.	PUNCT
ejpam-6225	1045	105	.	.	PUNCT
ejpam-6225	1045	106	.	.	PUNCT
ejpam-6225	1045	107	...	...	PUNCT
ejpam-6225	1046	1	[	[	PUNCT
ejpam-6225	1046	2	∗	∗	X
ejpam-6225	1046	3	−	−	PROPN
ejpam-6225	1046	4	srl	srl	PROPN
ejpam-6225	1046	5	β+	β+	PUNCT
ejpam-6225	1046	6	r	r	NOUN
ejpam-6225	1046	7	(=	(=	NOUN
ejpam-6225	1046	8	1	1	NUM
ejpam-6225	1046	9	)	)	PUNCT
ejpam-6225	1046	10	,	,	PUNCT
ejpam-6225	1046	11	∗	∗	NOUN
ejpam-6225	1046	12	−	−	PROPN
ejpam-6225	1047	1	srl	srl	PROPN
ejpam-6225	1047	2	β−	β−	NOUN
ejpam-6225	1047	3	r	r	NOUN
ejpam-6225	1047	4	(=	(=	NOUN
ejpam-6225	1047	5	1	1	NUM
ejpam-6225	1047	6	)	)	PUNCT
ejpam-6225	1047	7	]	]	PUNCT
ejpam-6225	1048	1	[	[	PUNCT
ejpam-6225	1048	2	∗	∗	X
ejpam-6225	1048	3	−	−	PROPN
ejpam-6225	1048	4	srl	srl	PROPN
ejpam-6225	1048	5	β+	β+	PUNCT
ejpam-6225	1048	6	r	r	NOUN
ejpam-6225	1048	7	(=	(=	NOUN
ejpam-6225	1048	8	2	2	NUM
ejpam-6225	1048	9	)	)	PUNCT
ejpam-6225	1048	10	,	,	PUNCT
ejpam-6225	1048	11	∗	∗	NOUN
ejpam-6225	1048	12	−	−	PROPN
ejpam-6225	1048	13	srl	srl	PROPN
ejpam-6225	1048	14	β−	β−	NOUN
ejpam-6225	1048	15	r	r	NOUN
ejpam-6225	1048	16	(=	(=	NOUN
ejpam-6225	1048	17	2	2	NUM
ejpam-6225	1048	18	)	)	PUNCT
ejpam-6225	1048	19	]	]	PUNCT
ejpam-6225	1048	20	·	·	PUNCT
ejpam-6225	1048	21	·	·	PUNCT
ejpam-6225	1048	22	·	·	PUNCT
ejpam-6225	1049	1	[	[	PUNCT
ejpam-6225	1049	2	∗	∗	NOUN
ejpam-6225	1049	3	−	−	PROPN
ejpam-6225	1049	4	srl	srl	PROPN
ejpam-6225	1049	5	β+	β+	PUNCT
ejpam-6225	1049	6	r	r	NOUN
ejpam-6225	1049	7	(=	(=	X
ejpam-6225	1049	8	k	k	NOUN
ejpam-6225	1049	9	)	)	PUNCT
ejpam-6225	1049	10	,	,	PUNCT
ejpam-6225	1049	11	∗	∗	NOUN
ejpam-6225	1049	12	−	−	PROPN
ejpam-6225	1049	13	srl	srl	PROPN
ejpam-6225	1049	14	β−	β−	NOUN
ejpam-6225	1049	15	r	r	NOUN
ejpam-6225	1049	16	(=	(=	NOUN
ejpam-6225	1049	17	k	k	NOUN
ejpam-6225	1049	18	)	)	PUNCT
ejpam-6225	1049	19	]	]	PUNCT
ejpam-6225	1050	1			SCONJ
ejpam-6225	1050	2	and	and	CCONJ
ejpam-6225	1050	3	[	[	PUNCT
ejpam-6225	1050	4	m	m	X
ejpam-6225	1050	5	]	]	X
ejpam-6225	1050	6	=	=	X
ejpam-6225	1050	7			X
ejpam-6225	1050	8	[	[	PUNCT
ejpam-6225	1050	9	∗	∗	X
ejpam-6225	1050	10	−	−	PROPN
ejpam-6225	1050	11	sr	sr	PROPN
ejpam-6225	1050	12	l	l	PROPN
ejpam-6225	1050	13	β+	β+	PUNCT
ejpam-6225	1050	14	1	1	NUM
ejpam-6225	1050	15	(=	(=	NOUN
ejpam-6225	1050	16	1	1	NUM
ejpam-6225	1050	17	)	)	PUNCT
ejpam-6225	1050	18	,	,	PUNCT
ejpam-6225	1050	19	∗	∗	NOUN
ejpam-6225	1050	20	−	−	PROPN
ejpam-6225	1050	21	sr	sr	PROPN
ejpam-6225	1050	22	l	l	NOUN
ejpam-6225	1050	23	β−	β−	NOUN
ejpam-6225	1050	24	1	1	NUM
ejpam-6225	1050	25	(=	(=	NOUN
ejpam-6225	1050	26	1	1	NUM
ejpam-6225	1050	27	)	)	PUNCT
ejpam-6225	1050	28	]	]	PUNCT
ejpam-6225	1051	1	[	[	PUNCT
ejpam-6225	1051	2	∗	∗	X
ejpam-6225	1051	3	−	−	PROPN
ejpam-6225	1051	4	sr	sr	PROPN
ejpam-6225	1051	5	l	l	PROPN
ejpam-6225	1051	6	β+	β+	PUNCT
ejpam-6225	1051	7	1	1	NUM
ejpam-6225	1051	8	(=	(=	NOUN
ejpam-6225	1051	9	2	2	NUM
ejpam-6225	1051	10	)	)	PUNCT
ejpam-6225	1051	11	,	,	PUNCT
ejpam-6225	1051	12	∗	∗	NOUN
ejpam-6225	1051	13	−	−	PROPN
ejpam-6225	1052	1	sr	sr	PROPN
ejpam-6225	1053	1	l	l	NOUN
ejpam-6225	1054	1	β−	β−	NOUN
ejpam-6225	1055	1	1	1	NUM
ejpam-6225	1055	2	(=	(=	NOUN
ejpam-6225	1055	3	2	2	NUM
ejpam-6225	1055	4	)	)	PUNCT
ejpam-6225	1055	5	]	]	PUNCT
ejpam-6225	1055	6	·	·	PUNCT
ejpam-6225	1055	7	·	·	PUNCT
ejpam-6225	1055	8	·	·	PUNCT
ejpam-6225	1056	1	[	[	PUNCT
ejpam-6225	1056	2	∗	∗	X
ejpam-6225	1056	3	−	−	PROPN
ejpam-6225	1056	4	sr	sr	PROPN
ejpam-6225	1056	5	l	l	PROPN
ejpam-6225	1056	6	β+	β+	PUNCT
ejpam-6225	1056	7	1	1	NUM
ejpam-6225	1056	8	(=	(=	NOUN
ejpam-6225	1056	9	k	k	NOUN
ejpam-6225	1056	10	)	)	PUNCT
ejpam-6225	1056	11	,	,	PUNCT
ejpam-6225	1056	12	∗	∗	NOUN
ejpam-6225	1056	13	−	−	PROPN
ejpam-6225	1057	1	sr	sr	PROPN
ejpam-6225	1058	1	l	l	NOUN
ejpam-6225	1059	1	β−	β−	NOUN
ejpam-6225	1060	1	1	1	NUM
ejpam-6225	1060	2	(=	(=	NOUN
ejpam-6225	1060	3	k	k	NOUN
ejpam-6225	1060	4	)	)	PUNCT
ejpam-6225	1060	5	]	]	PUNCT
ejpam-6225	1060	6	[	[	PUNCT
ejpam-6225	1060	7	∗	∗	X
ejpam-6225	1060	8	−	−	PROPN
ejpam-6225	1060	9	sr	sr	PROPN
ejpam-6225	1060	10	l	l	PROPN
ejpam-6225	1060	11	β+	β+	PUNCT
ejpam-6225	1060	12	2	2	NUM
ejpam-6225	1060	13	(=	(=	NOUN
ejpam-6225	1060	14	1	1	NUM
ejpam-6225	1060	15	)	)	PUNCT
ejpam-6225	1060	16	,	,	PUNCT
ejpam-6225	1060	17	∗	∗	NOUN
ejpam-6225	1060	18	−	−	PROPN
ejpam-6225	1061	1	sr	sr	PROPN
ejpam-6225	1061	2	l	l	NOUN
ejpam-6225	1061	3	β−	β−	NOUN
ejpam-6225	1061	4	2	2	NUM
ejpam-6225	1061	5	(=	(=	NOUN
ejpam-6225	1061	6	1	1	NUM
ejpam-6225	1061	7	)	)	PUNCT
ejpam-6225	1061	8	]	]	PUNCT
ejpam-6225	1062	1	[	[	PUNCT
ejpam-6225	1062	2	∗	∗	X
ejpam-6225	1062	3	−	−	PROPN
ejpam-6225	1062	4	sr	sr	PROPN
ejpam-6225	1062	5	l	l	PROPN
ejpam-6225	1062	6	β+	β+	PUNCT
ejpam-6225	1062	7	2	2	NUM
ejpam-6225	1062	8	(=	(=	NOUN
ejpam-6225	1062	9	2	2	NUM
ejpam-6225	1062	10	)	)	PUNCT
ejpam-6225	1062	11	,	,	PUNCT
ejpam-6225	1062	12	∗	∗	NOUN
ejpam-6225	1062	13	−	−	PROPN
ejpam-6225	1063	1	sr	sr	PROPN
ejpam-6225	1064	1	l	l	NOUN
ejpam-6225	1065	1	β−	β−	NOUN
ejpam-6225	1066	1	2	2	NUM
ejpam-6225	1066	2	(=	(=	NOUN
ejpam-6225	1066	3	2	2	NUM
ejpam-6225	1066	4	)	)	PUNCT
ejpam-6225	1066	5	]	]	PUNCT
ejpam-6225	1066	6	·	·	PUNCT
ejpam-6225	1066	7	·	·	PUNCT
ejpam-6225	1066	8	·	·	PUNCT
ejpam-6225	1067	1	[	[	PUNCT
ejpam-6225	1067	2	∗	∗	X
ejpam-6225	1067	3	−	−	PROPN
ejpam-6225	1067	4	sr	sr	PROPN
ejpam-6225	1067	5	l	l	PROPN
ejpam-6225	1067	6	β+	β+	PUNCT
ejpam-6225	1067	7	2	2	NUM
ejpam-6225	1067	8	(=	(=	NOUN
ejpam-6225	1067	9	k	k	NOUN
ejpam-6225	1067	10	)	)	PUNCT
ejpam-6225	1067	11	,	,	PUNCT
ejpam-6225	1067	12	∗	∗	NOUN
ejpam-6225	1067	13	−	−	PROPN
ejpam-6225	1068	1	sr	sr	PROPN
ejpam-6225	1069	1	l	l	NOUN
ejpam-6225	1070	1	β−	β−	NOUN
ejpam-6225	1071	1	2	2	NUM
ejpam-6225	1071	2	(=	(=	NOUN
ejpam-6225	1071	3	k	k	NOUN
ejpam-6225	1071	4	)	)	PUNCT
ejpam-6225	1071	5	]	]	PUNCT
ejpam-6225	1071	6	...	...	PUNCT
ejpam-6225	1071	7	...	...	PUNCT
ejpam-6225	1071	8	.	.	PUNCT
ejpam-6225	1071	9	.	.	PUNCT
ejpam-6225	1071	10	.	.	PUNCT
ejpam-6225	1072	1	...	...	PUNCT
ejpam-6225	1073	1	[	[	PUNCT
ejpam-6225	1073	2	∗	∗	X
ejpam-6225	1073	3	−	−	PROPN
ejpam-6225	1073	4	sr	sr	PROPN
ejpam-6225	1073	5	l	l	NOUN
ejpam-6225	1073	6	β+	β+	PUNCT
ejpam-6225	1073	7	r	r	NOUN
ejpam-6225	1073	8	(=	(=	NOUN
ejpam-6225	1073	9	1	1	NUM
ejpam-6225	1073	10	)	)	PUNCT
ejpam-6225	1073	11	,	,	PUNCT
ejpam-6225	1073	12	∗	∗	NOUN
ejpam-6225	1073	13	−	−	PROPN
ejpam-6225	1074	1	sr	sr	PROPN
ejpam-6225	1075	1	l	l	NOUN
ejpam-6225	1075	2	β−	β−	PUNCT
ejpam-6225	1076	1	r	r	NOUN
ejpam-6225	1076	2	(=	(=	NOUN
ejpam-6225	1076	3	1	1	NUM
ejpam-6225	1076	4	)	)	PUNCT
ejpam-6225	1076	5	]	]	PUNCT
ejpam-6225	1077	1	[	[	PUNCT
ejpam-6225	1077	2	∗	∗	X
ejpam-6225	1077	3	−	−	PROPN
ejpam-6225	1077	4	sr	sr	PROPN
ejpam-6225	1077	5	l	l	NOUN
ejpam-6225	1077	6	β+	β+	PUNCT
ejpam-6225	1077	7	r	r	NOUN
ejpam-6225	1077	8	(=	(=	NOUN
ejpam-6225	1077	9	2	2	NUM
ejpam-6225	1077	10	)	)	PUNCT
ejpam-6225	1077	11	,	,	PUNCT
ejpam-6225	1077	12	∗	∗	NOUN
ejpam-6225	1077	13	−	−	PROPN
ejpam-6225	1077	14	sr	sr	PROPN
ejpam-6225	1078	1	l	l	NOUN
ejpam-6225	1078	2	β−	β−	PUNCT
ejpam-6225	1079	1	r	r	NOUN
ejpam-6225	1079	2	(=	(=	NOUN
ejpam-6225	1079	3	2	2	NUM
ejpam-6225	1079	4	)	)	PUNCT
ejpam-6225	1079	5	]	]	PUNCT
ejpam-6225	1079	6	·	·	PUNCT
ejpam-6225	1079	7	·	·	PUNCT
ejpam-6225	1079	8	·	·	PUNCT
ejpam-6225	1080	1	[	[	PUNCT
ejpam-6225	1080	2	∗	∗	X
ejpam-6225	1080	3	−	−	PROPN
ejpam-6225	1080	4	sr	sr	PROPN
ejpam-6225	1080	5	l	l	NOUN
ejpam-6225	1080	6	β+	β+	PUNCT
ejpam-6225	1080	7	r	r	NOUN
ejpam-6225	1080	8	(=	(=	NOUN
ejpam-6225	1080	9	k	k	NOUN
ejpam-6225	1080	10	)	)	PUNCT
ejpam-6225	1080	11	,	,	PUNCT
ejpam-6225	1080	12	∗	∗	NOUN
ejpam-6225	1080	13	−	−	PROPN
ejpam-6225	1080	14	sr	sr	PROPN
ejpam-6225	1080	15	l	l	NOUN
ejpam-6225	1080	16	β−	β−	PUNCT
ejpam-6225	1081	1	r	r	NOUN
ejpam-6225	1081	2	(=	(=	NOUN
ejpam-6225	1081	3	k	k	NOUN
ejpam-6225	1081	4	)	)	PUNCT
ejpam-6225	1081	5	]	]	PUNCT
ejpam-6225	1082	1			ADP
ejpam-6225	1082	2	are	be	AUX
ejpam-6225	1082	3	called	call	VERB
ejpam-6225	1082	4	the	the	DET
ejpam-6225	1082	5	∗−ideal	∗−ideal	ADJ
ejpam-6225	1082	6	bipolar	bipolar	ADJ
ejpam-6225	1082	7	soft	soft	ADJ
ejpam-6225	1082	8	lower	low	ADJ
ejpam-6225	1082	9	and	and	CCONJ
ejpam-6225	1082	10	ua	ua	PROPN
ejpam-6225	1082	11	matrices	matrix	NOUN
ejpam-6225	1082	12	,	,	PUNCT
ejpam-6225	1082	13	respectively	respectively	ADV
ejpam-6225	1082	14	.	.	PUNCT
ejpam-6225	1083	1	here	here	ADV
ejpam-6225	1083	2	∗	∗	PROPN
ejpam-6225	1083	3	−	−	PROPN
ejpam-6225	1083	4	srl	srl	PROPN
ejpam-6225	1083	5	β+	β+	PUNCT
ejpam-6225	1083	6	q	q	PROPN
ejpam-6225	1083	7	(=	(=	X
ejpam-6225	1083	8	j	j	NOUN
ejpam-6225	1083	9	)	)	PUNCT
ejpam-6225	1083	10	=	=	PRON
ejpam-6225	1084	1	(	(	PUNCT
ejpam-6225	1084	2	1jג	1jג	ADJ
ejpam-6225	1084	3	fq	fq	PROPN
ejpam-6225	1084	4	,	,	PUNCT
ejpam-6225	1084	5	2jג	2jג	ADJ
ejpam-6225	1084	6	fq	fq	PROPN
ejpam-6225	1084	7	,	,	PUNCT
ejpam-6225	1084	8	.	.	PUNCT
ejpam-6225	1084	9	.	.	PUNCT
ejpam-6225	1085	1	.	.	PUNCT
ejpam-6225	1086	1	,	,	PUNCT
ejpam-6225	1086	2	njג	njג	PROPN
ejpam-6225	1086	3	fq	fq	PROPN
ejpam-6225	1086	4	)	)	PUNCT
ejpam-6225	1086	5	,	,	PUNCT
ejpam-6225	1086	6	∗	∗	NOUN
ejpam-6225	1086	7	−	−	PROPN
ejpam-6225	1086	8	srl	srl	PROPN
ejpam-6225	1086	9	β−	β−	NOUN
ejpam-6225	1086	10	q	q	NOUN
ejpam-6225	1087	1	(=	(=	X
ejpam-6225	1087	2	j	j	X
ejpam-6225	1087	3	)	)	PUNCT
ejpam-6225	1088	1	=	=	PRON
ejpam-6225	1088	2	(	(	PUNCT
ejpam-6225	1088	3	1jג	1jג	ADJ
ejpam-6225	1088	4	gq	gq	NOUN
ejpam-6225	1088	5	,	,	PUNCT
ejpam-6225	1088	6	2jג	2jג	ADJ
ejpam-6225	1088	7	gq	gq	NOUN
ejpam-6225	1088	8	,	,	PUNCT
ejpam-6225	1088	9	.	.	PUNCT
ejpam-6225	1088	10	.	.	PUNCT
ejpam-6225	1088	11	.	.	PUNCT
ejpam-6225	1089	1	,	,	PUNCT
ejpam-6225	1089	2	njג	njג	PROPN
ejpam-6225	1089	3	gq	gq	PROPN
ejpam-6225	1089	4	)	)	PUNCT
ejpam-6225	1089	5	,	,	PUNCT
ejpam-6225	1089	6	∗	∗	NOUN
ejpam-6225	1089	7	−	−	PROPN
ejpam-6225	1090	1	sr	sr	PROPN
ejpam-6225	1090	2	l	l	PROPN
ejpam-6225	1090	3	β+	β+	PUNCT
ejpam-6225	1090	4	q	q	X
ejpam-6225	1090	5	(=	(=	X
ejpam-6225	1090	6	j	j	NOUN
ejpam-6225	1090	7	)	)	PUNCT
ejpam-6225	1090	8	=	=	PRON
ejpam-6225	1091	1	(	(	PUNCT
ejpam-6225	1091	2	1jfqג	1jfqג	NUM
ejpam-6225	1091	3	,	,	PUNCT
ejpam-6225	1091	4	2jfqג	2jfqג	NUM
ejpam-6225	1091	5	,	,	PUNCT
ejpam-6225	1091	6	.	.	PUNCT
ejpam-6225	1091	7	.	.	PUNCT
ejpam-6225	1091	8	.	.	PUNCT
ejpam-6225	1092	1	,	,	PUNCT
ejpam-6225	1092	2	njfqג	njfqג	PROPN
ejpam-6225	1092	3	)	)	PUNCT
ejpam-6225	1092	4	,	,	PUNCT
ejpam-6225	1092	5	∗	∗	NOUN
ejpam-6225	1092	6	−	−	PROPN
ejpam-6225	1092	7	srl	srl	PROPN
ejpam-6225	1092	8	β−	β−	NOUN
ejpam-6225	1092	9	q	q	NOUN
ejpam-6225	1093	1	(=	(=	X
ejpam-6225	1093	2	j	j	X
ejpam-6225	1093	3	)	)	PUNCT
ejpam-6225	1094	1	=	=	PUNCT
ejpam-6225	1094	2	(	(	PUNCT
ejpam-6225	1094	3	1jgqג	1jgqג	NUM
ejpam-6225	1094	4	,	,	PUNCT
ejpam-6225	1094	5	2jgqג	2jgqג	NUM
ejpam-6225	1094	6	,	,	PUNCT
ejpam-6225	1094	7	.	.	PUNCT
ejpam-6225	1094	8	.	.	PUNCT
ejpam-6225	1094	9	.	.	PUNCT
ejpam-6225	1095	1	,	,	PUNCT
ejpam-6225	1095	2	njgqג	njgqג	NOUN
ejpam-6225	1095	3	)	)	PUNCT
ejpam-6225	1095	4	,	,	PUNCT
ejpam-6225	1095	5	where	where	SCONJ
ejpam-6225	1095	6	ijג	ijג	NOUN
ejpam-6225	1095	7	fq	fq	PROPN
ejpam-6225	1095	8	=	=	PUNCT
ejpam-6225	1095	9	1	1	NOUN
ejpam-6225	1095	10	,	,	PUNCT
ejpam-6225	1095	11	if	if	SCONJ
ejpam-6225	1095	12	iג	iג	PRON
ejpam-6225	1095	13	∈	∈	PROPN
ejpam-6225	1095	14	∗	∗	NOUN
ejpam-6225	1095	15	−	−	PROPN
ejpam-6225	1095	16	srl	srl	PROPN
ejpam-6225	1095	17	β+	β+	PUNCT
ejpam-6225	1095	18	q	q	PROPN
ejpam-6225	1095	19	(=	(=	X
ejpam-6225	1095	20	j	j	NOUN
ejpam-6225	1095	21	)	)	PUNCT
ejpam-6225	1095	22	,	,	PUNCT
ejpam-6225	1095	23	0	0	NUM
ejpam-6225	1095	24	,	,	PUNCT
ejpam-6225	1095	25	otherwise	otherwise	ADV
ejpam-6225	1095	26	ijג	ijג	NOUN
ejpam-6225	1095	27	gq	gq	NOUN
ejpam-6225	1095	28	=	=	PUNCT
ejpam-6225	1095	29			PROPN
ejpam-6225	1095	30	1	1	NUM
ejpam-6225	1095	31	2	2	NUM
ejpam-6225	1095	32	,	,	PUNCT
ejpam-6225	1095	33	if	if	SCONJ
ejpam-6225	1095	34	iג	iג	PRON
ejpam-6225	1095	35	∈	∈	PROPN
ejpam-6225	1095	36	∗	∗	NOUN
ejpam-6225	1095	37	−	−	PROPN
ejpam-6225	1095	38	srl	srl	PROPN
ejpam-6225	1095	39	β−	β−	NOUN
ejpam-6225	1095	40	q	q	NOUN
ejpam-6225	1096	1	(=	(=	X
ejpam-6225	1096	2	j	j	NOUN
ejpam-6225	1096	3	)	)	PUNCT
ejpam-6225	1096	4	,	,	PUNCT
ejpam-6225	1096	5	0	0	NUM
ejpam-6225	1096	6	,	,	PUNCT
ejpam-6225	1096	7	otherwise	otherwise	ADV
ejpam-6225	1096	8	ijfqג	ijfqג	VERB
ejpam-6225	1096	9	=	=	PUNCT
ejpam-6225	1096	10	1	1	NUM
ejpam-6225	1096	11	2	2	NUM
ejpam-6225	1096	12	,	,	PUNCT
ejpam-6225	1096	13	if	if	SCONJ
ejpam-6225	1096	14	iג	iג	PRON
ejpam-6225	1096	15	∈	∈	PROPN
ejpam-6225	1096	16	∗	∗	NOUN
ejpam-6225	1096	17	−	−	PROPN
ejpam-6225	1097	1	sr	sr	PROPN
ejpam-6225	1097	2	l	l	PROPN
ejpam-6225	1097	3	β+	β+	PUNCT
ejpam-6225	1097	4	q	q	X
ejpam-6225	1097	5	(=	(=	X
ejpam-6225	1097	6	j	j	NOUN
ejpam-6225	1097	7	)	)	PUNCT
ejpam-6225	1097	8	,	,	PUNCT
ejpam-6225	1097	9	0	0	NUM
ejpam-6225	1097	10	,	,	PUNCT
ejpam-6225	1097	11	otherwise	otherwise	ADV
ejpam-6225	1097	12	ijgqג	ijgqג	PROPN
ejpam-6225	1097	13	=	=	PUNCT
ejpam-6225	1097	14	1	1	NOUN
ejpam-6225	1097	15	,	,	PUNCT
ejpam-6225	1097	16	if	if	SCONJ
ejpam-6225	1097	17	iג	iג	PRON
ejpam-6225	1097	18	∈	∈	PROPN
ejpam-6225	1097	19	∗	∗	NOUN
ejpam-6225	1097	20	−	−	PROPN
ejpam-6225	1097	21	sr	sr	PROPN
ejpam-6225	1097	22	l	l	NOUN
ejpam-6225	1097	23	β−	β−	PROPN
ejpam-6225	1097	24	q	q	X
ejpam-6225	1097	25	(=	(=	X
ejpam-6225	1097	26	j	j	NOUN
ejpam-6225	1097	27	)	)	PUNCT
ejpam-6225	1097	28	,	,	PUNCT
ejpam-6225	1097	29	0	0	NUM
ejpam-6225	1097	30	,	,	PUNCT
ejpam-6225	1097	31	otherwise	otherwise	ADV
ejpam-6225	1097	32	definition	definition	NOUN
ejpam-6225	1097	33	7.2	7.2	NUM
ejpam-6225	1097	34	.	.	PUNCT
ejpam-6225	1098	1	let	let	VERB
ejpam-6225	1098	2	m	m	PRON
ejpam-6225	1098	3	and	and	CCONJ
ejpam-6225	1098	4	m	m	AUX
ejpam-6225	1098	5	be	be	AUX
ejpam-6225	1098	6	the	the	DET
ejpam-6225	1098	7	∗−ideal	∗−ideal	ADJ
ejpam-6225	1098	8	bipolar	bipolar	ADJ
ejpam-6225	1098	9	soft	soft	ADJ
ejpam-6225	1098	10	lower	lower	ADV
ejpam-6225	1099	1	and	and	CCONJ
ejpam-6225	1099	2	ua	ua	NOUN
ejpam-6225	1099	3	matrices	matrice	VERB
ejpam-6225	1099	4	with	with	ADP
ejpam-6225	1099	5	respect	respect	NOUN
ejpam-6225	1099	6	to	to	ADP
ejpam-6225	1099	7	d.	d.	PROPN
ejpam-6225	1099	8	shi	shi	PROPN
ejpam-6225	1099	9	et	et	PROPN
ejpam-6225	1099	10	al	al	PROPN
ejpam-6225	1099	11	.	.	PUNCT
ejpam-6225	1099	12	/	/	SYM
ejpam-6225	1099	13	eur	eur	PROPN
ejpam-6225	1099	14	.	.	PUNCT
ejpam-6225	1100	1	j.	j.	PROPN
ejpam-6225	1100	2	pure	pure	PROPN
ejpam-6225	1100	3	appl	appl	PROPN
ejpam-6225	1100	4	.	.	PROPN
ejpam-6225	1100	5	math	math	PROPN
ejpam-6225	1100	6	,	,	PUNCT
ejpam-6225	1100	7	18	18	NUM
ejpam-6225	1100	8	(	(	PUNCT
ejpam-6225	1100	9	4	4	NUM
ejpam-6225	1100	10	)	)	PUNCT
ejpam-6225	1100	11	(	(	PUNCT
ejpam-6225	1100	12	2025	2025	NUM
ejpam-6225	1100	13	)	)	PUNCT
ejpam-6225	1100	14	,	,	PUNCT
ejpam-6225	1100	15	6225	6225	NUM
ejpam-6225	1100	16	29	29	NUM
ejpam-6225	1100	17	of	of	ADP
ejpam-6225	1100	18	36	36	NUM
ejpam-6225	1100	19	∗	∗	NOUN
ejpam-6225	1100	20	−	−	PROPN
ejpam-6225	1100	21	psrl	psrl	PROPN
ejpam-6225	1100	22	βq	βq	VERB
ejpam-6225	1100	23	(=	(=	PROPN
ejpam-6225	1100	24	j	j	NOUN
ejpam-6225	1100	25	)	)	PUNCT
ejpam-6225	1100	26	and	and	CCONJ
ejpam-6225	1100	27	∗	∗	NOUN
ejpam-6225	1100	28	−	−	PROPN
ejpam-6225	1100	29	psrl	psrl	PROPN
ejpam-6225	1100	30	βq	βq	VERB
ejpam-6225	1100	31	(=	(=	PROPN
ejpam-6225	1100	32	j	j	NOUN
ejpam-6225	1100	33	)	)	PUNCT
ejpam-6225	1100	34	,	,	PUNCT
ejpam-6225	1101	1	where	where	SCONJ
ejpam-6225	1101	2	:	:	PUNCT
ejpam-6225	1101	3	j	j	PROPN
ejpam-6225	1101	4	=	=	SYM
ejpam-6225	1101	5	1	1	NUM
ejpam-6225	1101	6	,	,	PUNCT
ejpam-6225	1101	7	2	2	NUM
ejpam-6225	1101	8	,	,	PUNCT
ejpam-6225	1101	9	.	.	PUNCT
ejpam-6225	1101	10	.	.	PUNCT
ejpam-6225	1101	11	.	.	PUNCT
ejpam-6225	1102	1	,	,	PUNCT
ejpam-6225	1102	2	k	k	PROPN
ejpam-6225	1102	3	and	and	CCONJ
ejpam-6225	1102	4	q	q	NOUN
ejpam-6225	1102	5	=	=	NOUN
ejpam-6225	1102	6	1	1	NUM
ejpam-6225	1102	7	,	,	PUNCT
ejpam-6225	1102	8	2	2	NUM
ejpam-6225	1102	9	,	,	PUNCT
ejpam-6225	1102	10	.	.	PUNCT
ejpam-6225	1102	11	.	.	PUNCT
ejpam-6225	1103	1	.	.	PUNCT
ejpam-6225	1104	1	,	,	PUNCT
ejpam-6225	1104	2	r.	r.	PROPN
ejpam-6225	1104	3	then	then	ADV
ejpam-6225	1104	4	,	,	PUNCT
ejpam-6225	1104	5	vf	vf	X
ejpam-6225	1104	6	=	=	SYM
ejpam-6225	1104	7	k⊕	k⊕	PROPN
ejpam-6225	1104	8	j=1	j=1	PROPN
ejpam-6225	1104	9	r⊕	r⊕	X
ejpam-6225	1104	10	q=1	q=1	PROPN
ejpam-6225	1105	1	(	(	PUNCT
ejpam-6225	1105	2	∗	∗	NOUN
ejpam-6225	1105	3	−	−	PROPN
ejpam-6225	1105	4	srl	srl	PROPN
ejpam-6225	1105	5	β+	β+	PUNCT
ejpam-6225	1105	6	q	q	PROPN
ejpam-6225	1105	7	(=	(=	X
ejpam-6225	1105	8	j	j	X
ejpam-6225	1105	9	)	)	PUNCT
ejpam-6225	1105	10	⊕	⊕	PROPN
ejpam-6225	1105	11	∗	∗	VERB
ejpam-6225	1105	12	−	−	PROPN
ejpam-6225	1106	1	sr	sr	PROPN
ejpam-6225	1107	1	l	l	PROPN
ejpam-6225	1107	2	β+	β+	PUNCT
ejpam-6225	1107	3	q	q	PROPN
ejpam-6225	1107	4	(=	(=	X
ejpam-6225	1107	5	j	j	NOUN
ejpam-6225	1107	6	)	)	PUNCT
ejpam-6225	1107	7	)	)	PUNCT
ejpam-6225	1107	8	,	,	PUNCT
ejpam-6225	1107	9	vg	vg	NOUN
ejpam-6225	1107	10	=	=	SYM
ejpam-6225	1107	11	k⊕	k⊕	NOUN
ejpam-6225	1107	12	j=1	j=1	PROPN
ejpam-6225	1107	13	r⊕	r⊕	X
ejpam-6225	1107	14	q=1	q=1	PROPN
ejpam-6225	1107	15	(	(	PUNCT
ejpam-6225	1107	16	∗	∗	NOUN
ejpam-6225	1107	17	−	−	PROPN
ejpam-6225	1107	18	srl	srl	PROPN
ejpam-6225	1107	19	β−	β−	NOUN
ejpam-6225	1107	20	q	q	NOUN
ejpam-6225	1108	1	(=	(=	X
ejpam-6225	1108	2	j	j	X
ejpam-6225	1108	3	)	)	PUNCT
ejpam-6225	1108	4	⊕	⊕	PROPN
ejpam-6225	1108	5	∗	∗	VERB
ejpam-6225	1108	6	−	−	PROPN
ejpam-6225	1109	1	sr	sr	PROPN
ejpam-6225	1110	1	l	l	NOUN
ejpam-6225	1111	1	β−	β−	PROPN
ejpam-6225	1112	1	q	q	X
ejpam-6225	1113	1	(=	(=	X
ejpam-6225	1113	2	j	j	NOUN
ejpam-6225	1113	3	)	)	PUNCT
ejpam-6225	1113	4	)	)	PUNCT
ejpam-6225	1114	1	,	,	PUNCT
ejpam-6225	1114	2	are	be	AUX
ejpam-6225	1114	3	called	call	VERB
ejpam-6225	1114	4	the	the	DET
ejpam-6225	1114	5	positive	positive	ADJ
ejpam-6225	1114	6	and	and	CCONJ
ejpam-6225	1114	7	negative	negative	ADJ
ejpam-6225	1114	8	∗−ideal	∗−ideal	PRON
ejpam-6225	1114	9	bipolar	bipolar	ADJ
ejpam-6225	1114	10	sa	sa	NOUN
ejpam-6225	1114	11	vectors	vector	NOUN
ejpam-6225	1114	12	,	,	PUNCT
ejpam-6225	1114	13	respectively	respectively	ADV
ejpam-6225	1114	14	.	.	PUNCT
ejpam-6225	1115	1	here	here	ADV
ejpam-6225	1115	2	,	,	PUNCT
ejpam-6225	1115	3	the	the	DET
ejpam-6225	1115	4	operations	operation	NOUN
ejpam-6225	1115	5	⊕	⊕	PROPN
ejpam-6225	1115	6	represent	represent	VERB
ejpam-6225	1115	7	the	the	DET
ejpam-6225	1115	8	vector	vector	NOUN
ejpam-6225	1115	9	summation	summation	NOUN
ejpam-6225	1115	10	.	.	PUNCT
ejpam-6225	1116	1	definition	definition	NOUN
ejpam-6225	1116	2	7.3	7.3	NUM
ejpam-6225	1116	3	.	.	PUNCT
ejpam-6225	1117	1	let	let	VERB
ejpam-6225	1117	2	vf	vf	X
ejpam-6225	1117	3	and	and	CCONJ
ejpam-6225	1117	4	vg	vg	ADV
ejpam-6225	1117	5	be	be	AUX
ejpam-6225	1117	6	positive	positive	ADJ
ejpam-6225	1117	7	and	and	CCONJ
ejpam-6225	1117	8	negative	negative	ADJ
ejpam-6225	1117	9	∗−ideal	∗−ideal	PRON
ejpam-6225	1117	10	bipolar	bipolar	ADJ
ejpam-6225	1117	11	sa	sa	NOUN
ejpam-6225	1117	12	vectors	vector	NOUN
ejpam-6225	1117	13	,	,	PUNCT
ejpam-6225	1117	14	respectively	respectively	ADV
ejpam-6225	1117	15	.	.	PUNCT
ejpam-6225	1118	1	then	then	ADV
ejpam-6225	1118	2	,	,	PUNCT
ejpam-6225	1118	3	vd	vd	NOUN
ejpam-6225	1118	4	=	=	SYM
ejpam-6225	1118	5	vf	vf	X
ejpam-6225	1118	6	−	−	PROPN
ejpam-6225	1118	7	vg	vg	NOUN
ejpam-6225	1118	8	=	=	SYM
ejpam-6225	1118	9	(	(	PUNCT
ejpam-6225	1118	10	δ1	δ1	NOUN
ejpam-6225	1118	11	,	,	PUNCT
ejpam-6225	1118	12	δ2	δ2	VERB
ejpam-6225	1118	13	,	,	PUNCT
ejpam-6225	1118	14	·	·	PUNCT
ejpam-6225	1118	15	·	·	PUNCT
ejpam-6225	1118	16	·	·	PUNCT
ejpam-6225	1118	17	,	,	PUNCT
ejpam-6225	1118	18	δn	δn	PROPN
ejpam-6225	1118	19	)	)	PUNCT
ejpam-6225	1118	20	is	be	AUX
ejpam-6225	1118	21	said	say	VERB
ejpam-6225	1118	22	to	to	PART
ejpam-6225	1118	23	be	be	AUX
ejpam-6225	1118	24	a	a	DET
ejpam-6225	1118	25	decision	decision	NOUN
ejpam-6225	1118	26	vector	vector	NOUN
ejpam-6225	1118	27	where	where	SCONJ
ejpam-6225	1118	28	each	each	DET
ejpam-6225	1118	29	δi	δi	NOUN
ejpam-6225	1118	30	is	be	AUX
ejpam-6225	1118	31	called	call	VERB
ejpam-6225	1118	32	the	the	DET
ejpam-6225	1118	33	score	score	NOUN
ejpam-6225	1118	34	value	value	NOUN
ejpam-6225	1118	35	(	(	PUNCT
ejpam-6225	1118	36	svl	svl	NOUN
ejpam-6225	1118	37	)	)	PUNCT
ejpam-6225	1118	38	of	of	ADP
ejpam-6225	1118	39	iג	iג	PROPN
ejpam-6225	1118	40	∈	∈	PROPN
ejpam-6225	1118	41	q.	q.	PROPN
ejpam-6225	1118	42	•	•	ADP
ejpam-6225	1118	43	iג	iג	ADP
ejpam-6225	1118	44	∈	∈	PROPN
ejpam-6225	1118	45	q	q	NOUN
ejpam-6225	1118	46	is	be	AUX
ejpam-6225	1118	47	viewed	view	VERB
ejpam-6225	1118	48	as	as	ADP
ejpam-6225	1118	49	an	an	DET
ejpam-6225	1118	50	optimal	optimal	ADJ
ejpam-6225	1118	51	alternative	alternative	NOUN
ejpam-6225	1118	52	if	if	SCONJ
ejpam-6225	1118	53	its	its	PRON
ejpam-6225	1118	54	svl	svl	NOUN
ejpam-6225	1118	55	is	be	AUX
ejpam-6225	1118	56	a	a	DET
ejpam-6225	1118	57	maximum	maximum	NOUN
ejpam-6225	1118	58	of	of	ADP
ejpam-6225	1118	59	δi	δi	NOUN
ejpam-6225	1118	60	;	;	PUNCT
ejpam-6225	1118	61	∀i	∀i	NOUN
ejpam-6225	1118	62	=	=	SYM
ejpam-6225	1118	63	1	1	NUM
ejpam-6225	1118	64	,	,	PUNCT
ejpam-6225	1118	65	2	2	NUM
ejpam-6225	1118	66	,	,	PUNCT
ejpam-6225	1118	67	.	.	PUNCT
ejpam-6225	1118	68	.	.	PUNCT
ejpam-6225	1119	1	.	.	PUNCT
ejpam-6225	1120	1	,	,	PUNCT
ejpam-6225	1120	2	n.	n.	NOUN
ejpam-6225	1120	3	•	•	NOUN
ejpam-6225	1120	4	iג	iג	ADP
ejpam-6225	1120	5	∈	∈	PROPN
ejpam-6225	1120	6	q	q	NOUN
ejpam-6225	1120	7	is	be	AUX
ejpam-6225	1120	8	viewed	view	VERB
ejpam-6225	1120	9	as	as	ADP
ejpam-6225	1120	10	the	the	DET
ejpam-6225	1120	11	worst	bad	ADJ
ejpam-6225	1120	12	alternative	alternative	NOUN
ejpam-6225	1120	13	if	if	SCONJ
ejpam-6225	1120	14	its	its	PRON
ejpam-6225	1120	15	svl	svl	NOUN
ejpam-6225	1120	16	is	be	AUX
ejpam-6225	1120	17	a	a	DET
ejpam-6225	1120	18	minimum	minimum	NOUN
ejpam-6225	1120	19	of	of	ADP
ejpam-6225	1120	20	δi	δi	NOUN
ejpam-6225	1120	21	;	;	PUNCT
ejpam-6225	1120	22	∀i	∀i	NOUN
ejpam-6225	1120	23	=	=	SYM
ejpam-6225	1120	24	1	1	NUM
ejpam-6225	1120	25	,	,	PUNCT
ejpam-6225	1120	26	2	2	NUM
ejpam-6225	1120	27	,	,	PUNCT
ejpam-6225	1120	28	.	.	PUNCT
ejpam-6225	1120	29	.	.	PUNCT
ejpam-6225	1121	1	.	.	PUNCT
ejpam-6225	1122	1	,	,	PUNCT
ejpam-6225	1122	2	n.	n.	NOUN
ejpam-6225	1122	3	in	in	ADP
ejpam-6225	1122	4	cases	case	NOUN
ejpam-6225	1122	5	when	when	SCONJ
ejpam-6225	1122	6	q	q	NOUN
ejpam-6225	1122	7	has	have	VERB
ejpam-6225	1122	8	several	several	ADJ
ejpam-6225	1122	9	optimum	optimum	ADJ
ejpam-6225	1122	10	alternatives	alternative	NOUN
ejpam-6225	1122	11	,	,	PUNCT
ejpam-6225	1122	12	we	we	PRON
ejpam-6225	1122	13	select	select	VERB
ejpam-6225	1122	14	any	any	DET
ejpam-6225	1122	15	one	one	NUM
ejpam-6225	1122	16	of	of	ADP
ejpam-6225	1122	17	them	they	PRON
ejpam-6225	1122	18	.	.	PUNCT
ejpam-6225	1123	1	7.3	7.3	NUM
ejpam-6225	1123	2	.	.	PUNCT
ejpam-6225	1124	1	the	the	DET
ejpam-6225	1124	2	proposed	propose	VERB
ejpam-6225	1124	3	algorithm	algorithm	NOUN
ejpam-6225	1124	4	we	we	PRON
ejpam-6225	1124	5	propose	propose	VERB
ejpam-6225	1124	6	a	a	DET
ejpam-6225	1124	7	dm	dm	NOUN
ejpam-6225	1124	8	algorithm	algorithm	NOUN
ejpam-6225	1124	9	for	for	ADP
ejpam-6225	1124	10	the	the	DET
ejpam-6225	1124	11	magdm	magdm	NOUN
ejpam-6225	1124	12	established	establish	VERB
ejpam-6225	1124	13	problem	problem	NOUN
ejpam-6225	1124	14	considered	consider	VERB
ejpam-6225	1124	15	in	in	ADP
ejpam-6225	1124	16	subsection	subsection	NOUN
ejpam-6225	1124	17	7.2	7.2	NUM
ejpam-6225	1124	18	.	.	PUNCT
ejpam-6225	1125	1	the	the	DET
ejpam-6225	1125	2	associated	associated	ADJ
ejpam-6225	1125	3	flowchart	flowchart	NOUN
ejpam-6225	1125	4	depicting	depict	VERB
ejpam-6225	1125	5	the	the	DET
ejpam-6225	1125	6	above	above	ADJ
ejpam-6225	1125	7	subsection	subsection	NOUN
ejpam-6225	1125	8	is	be	AUX
ejpam-6225	1125	9	illustrated	illustrate	VERB
ejpam-6225	1125	10	in	in	ADP
ejpam-6225	1125	11	figure	figure	NOUN
ejpam-6225	1125	12	1	1	NUM
ejpam-6225	1125	13	.	.	PUNCT
ejpam-6225	1125	14	7.4	7.4	NUM
ejpam-6225	1125	15	.	.	PUNCT
ejpam-6225	1126	1	appointment	appointment	NOUN
ejpam-6225	1126	2	of	of	ADP
ejpam-6225	1126	3	a	a	DET
ejpam-6225	1126	4	faculty	faculty	NOUN
ejpam-6225	1126	5	member	member	NOUN
ejpam-6225	1126	6	problem	problem	NOUN
ejpam-6225	1126	7	here	here	ADV
ejpam-6225	1126	8	,	,	PUNCT
ejpam-6225	1126	9	we	we	PRON
ejpam-6225	1126	10	present	present	VERB
ejpam-6225	1126	11	a	a	DET
ejpam-6225	1126	12	case	case	NOUN
ejpam-6225	1126	13	study	study	NOUN
ejpam-6225	1126	14	to	to	PART
ejpam-6225	1126	15	explain	explain	VERB
ejpam-6225	1126	16	the	the	DET
ejpam-6225	1126	17	essential	essential	ADJ
ejpam-6225	1126	18	methodology	methodology	NOUN
ejpam-6225	1126	19	of	of	ADP
ejpam-6225	1126	20	the	the	DET
ejpam-6225	1126	21	proposed	propose	VERB
ejpam-6225	1126	22	mathematical	mathematical	ADJ
ejpam-6225	1126	23	modeling	modeling	NOUN
ejpam-6225	1126	24	technique	technique	NOUN
ejpam-6225	1126	25	and	and	CCONJ
ejpam-6225	1126	26	its	its	PRON
ejpam-6225	1126	27	related	related	ADJ
ejpam-6225	1126	28	concepts	concept	NOUN
ejpam-6225	1126	29	.	.	PUNCT
ejpam-6225	1127	1	example	example	NOUN
ejpam-6225	1127	2	7.1	7.1	NUM
ejpam-6225	1127	3	.	.	PUNCT
ejpam-6225	1128	1	in	in	ADP
ejpam-6225	1128	2	universities	university	NOUN
ejpam-6225	1128	3	,	,	PUNCT
ejpam-6225	1128	4	the	the	DET
ejpam-6225	1128	5	selection	selection	NOUN
ejpam-6225	1128	6	of	of	ADP
ejpam-6225	1128	7	academic	academic	ADJ
ejpam-6225	1128	8	members	member	NOUN
ejpam-6225	1128	9	to	to	ADP
ejpam-6225	1128	10	high	high	ADJ
ejpam-6225	1128	11	posts	post	NOUN
ejpam-6225	1128	12	entails	entail	VERB
ejpam-6225	1128	13	dm	dm	NUM
ejpam-6225	1128	14	and	and	CCONJ
ejpam-6225	1128	15	extremely	extremely	ADV
ejpam-6225	1128	16	complex	complex	ADJ
ejpam-6225	1128	17	reviews	review	NOUN
ejpam-6225	1128	18	.	.	PUNCT
ejpam-6225	1129	1	a	a	DET
ejpam-6225	1129	2	candidate	candidate	NOUN
ejpam-6225	1129	3	may	may	AUX
ejpam-6225	1129	4	be	be	AUX
ejpam-6225	1129	5	evaluated	evaluate	VERB
ejpam-6225	1129	6	based	base	VERB
ejpam-6225	1129	7	on	on	ADP
ejpam-6225	1129	8	a	a	DET
ejpam-6225	1129	9	number	number	NOUN
ejpam-6225	1129	10	of	of	ADP
ejpam-6225	1129	11	factors	factor	NOUN
ejpam-6225	1129	12	,	,	PUNCT
ejpam-6225	1129	13	including	include	VERB
ejpam-6225	1129	14	research	research	NOUN
ejpam-6225	1129	15	output	output	NOUN
ejpam-6225	1129	16	,	,	PUNCT
ejpam-6225	1129	17	management	management	NOUN
ejpam-6225	1129	18	skills	skill	NOUN
ejpam-6225	1129	19	,	,	PUNCT
ejpam-6225	1129	20	and	and	CCONJ
ejpam-6225	1129	21	stress	stress	VERB
ejpam-6225	1129	22	tolerance	tolerance	NOUN
ejpam-6225	1129	23	.	.	PUNCT
ejpam-6225	1130	1	in	in	ADP
ejpam-6225	1130	2	order	order	NOUN
ejpam-6225	1130	3	to	to	PART
ejpam-6225	1130	4	accurately	accurately	ADV
ejpam-6225	1130	5	assess	assess	VERB
ejpam-6225	1130	6	the	the	DET
ejpam-6225	1130	7	applicants	applicant	NOUN
ejpam-6225	1130	8	according	accord	VERB
ejpam-6225	1130	9	to	to	ADP
ejpam-6225	1130	10	these	these	DET
ejpam-6225	1130	11	attributes	attribute	NOUN
ejpam-6225	1130	12	,	,	PUNCT
ejpam-6225	1130	13	it	it	PRON
ejpam-6225	1130	14	makes	make	VERB
ejpam-6225	1130	15	sense	sense	NOUN
ejpam-6225	1130	16	to	to	PART
ejpam-6225	1130	17	conduct	conduct	VERB
ejpam-6225	1130	18	professional	professional	ADJ
ejpam-6225	1130	19	experts	expert	NOUN
ejpam-6225	1130	20	with	with	ADP
ejpam-6225	1130	21	their	their	PRON
ejpam-6225	1130	22	opinions	opinion	NOUN
ejpam-6225	1130	23	.	.	PUNCT
ejpam-6225	1131	1	let	let	VERB
ejpam-6225	1131	2	q	q	NOUN
ejpam-6225	1131	3	=	=	SYM
ejpam-6225	1131	4	{	{	PUNCT
ejpam-6225	1131	5	c1	c1	PROPN
ejpam-6225	1131	6	,	,	PUNCT
ejpam-6225	1131	7	c2	c2	PROPN
ejpam-6225	1131	8	,	,	PUNCT
ejpam-6225	1131	9	·	·	PUNCT
ejpam-6225	1131	10	·	·	PUNCT
ejpam-6225	1131	11	·	·	PUNCT
ejpam-6225	1131	12	,	,	PUNCT
ejpam-6225	1131	13	c5	c5	PROPN
ejpam-6225	1131	14	}	}	PUNCT
ejpam-6225	1131	15	be	be	VERB
ejpam-6225	1131	16	the	the	DET
ejpam-6225	1131	17	group	group	NOUN
ejpam-6225	1131	18	of	of	ADP
ejpam-6225	1131	19	five	five	NUM
ejpam-6225	1131	20	candidates	candidate	NOUN
ejpam-6225	1131	21	who	who	PRON
ejpam-6225	1131	22	,	,	PUNCT
ejpam-6225	1131	23	in	in	ADP
ejpam-6225	1131	24	the	the	DET
ejpam-6225	1131	25	opinion	opinion	NOUN
ejpam-6225	1131	26	of	of	ADP
ejpam-6225	1131	27	the	the	DET
ejpam-6225	1131	28	institution	institution	NOUN
ejpam-6225	1131	29	,	,	PUNCT
ejpam-6225	1131	30	would	would	AUX
ejpam-6225	1131	31	be	be	AUX
ejpam-6225	1131	32	a	a	DET
ejpam-6225	1131	33	good	good	ADJ
ejpam-6225	1131	34	match	match	NOUN
ejpam-6225	1131	35	for	for	ADP
ejpam-6225	1131	36	senior	senior	ADJ
ejpam-6225	1131	37	professor	professor	NOUN
ejpam-6225	1131	38	positions	position	NOUN
ejpam-6225	1131	39	.	.	PUNCT
ejpam-6225	1132	1	an	an	DET
ejpam-6225	1132	2	expert	expert	NOUN
ejpam-6225	1132	3	panel	panel	NOUN
ejpam-6225	1132	4	is	be	AUX
ejpam-6225	1132	5	assembled	assemble	VERB
ejpam-6225	1132	6	to	to	PART
ejpam-6225	1132	7	select	select	VERB
ejpam-6225	1132	8	the	the	DET
ejpam-6225	1132	9	best	good	ADJ
ejpam-6225	1132	10	qualified	qualified	ADJ
ejpam-6225	1132	11	candidate	candidate	NOUN
ejpam-6225	1132	12	for	for	ADP
ejpam-6225	1132	13	this	this	DET
ejpam-6225	1132	14	role	role	NOUN
ejpam-6225	1132	15	.	.	PUNCT
ejpam-6225	1133	1	based	base	VERB
ejpam-6225	1133	2	on	on	ADP
ejpam-6225	1133	3	this	this	DET
ejpam-6225	1133	4	collection	collection	NOUN
ejpam-6225	1133	5	of	of	ADP
ejpam-6225	1133	6	qualities	quality	NOUN
ejpam-6225	1133	7	,	,	PUNCT
ejpam-6225	1133	8	the	the	DET
ejpam-6225	1133	9	panel	panel	NOUN
ejpam-6225	1133	10	assesses	assess	VERB
ejpam-6225	1133	11	applicants	applicant	NOUN
ejpam-6225	1133	12	.	.	PUNCT
ejpam-6225	1134	1	℘	℘	PROPN
ejpam-6225	1134	2	=	=	SYM
ejpam-6225	1134	3	{	{	PUNCT
ejpam-6225	1134	4	ς1	ς1	NOUN
ejpam-6225	1134	5	,	,	PUNCT
ejpam-6225	1134	6	ς2	ς2	PROPN
ejpam-6225	1134	7	,	,	PUNCT
ejpam-6225	1134	8	ς3	ς3	NOUN
ejpam-6225	1134	9	,	,	PUNCT
ejpam-6225	1134	10	ς4	ς4	PROPN
ejpam-6225	1134	11	,	,	PUNCT
ejpam-6225	1134	12	ς4	ς4	PROPN
ejpam-6225	1134	13	,	,	PUNCT
ejpam-6225	1134	14	ς6	ς6	NOUN
ejpam-6225	1134	15	}	}	PUNCT
ejpam-6225	1134	16	,	,	PUNCT
ejpam-6225	1134	17	where	where	SCONJ
ejpam-6225	1134	18	ς1	ς1	NOUN
ejpam-6225	1134	19	=	=	SYM
ejpam-6225	1134	20	productivity	productivity	NOUN
ejpam-6225	1134	21	of	of	ADP
ejpam-6225	1134	22	research	research	NOUN
ejpam-6225	1134	23	,	,	PUNCT
ejpam-6225	1134	24	ς2	ς2	PROPN
ejpam-6225	1134	25	=	=	SYM
ejpam-6225	1134	26	managerial	managerial	ADJ
ejpam-6225	1134	27	abilities	ability	NOUN
ejpam-6225	1134	28	,	,	PUNCT
ejpam-6225	1134	29	ς3	ς3	NOUN
ejpam-6225	1134	30	=	=	SYM
ejpam-6225	1134	31	influence	influence	NOUN
ejpam-6225	1134	32	on	on	ADP
ejpam-6225	1134	33	the	the	DET
ejpam-6225	1134	34	research	research	NOUN
ejpam-6225	1134	35	community	community	NOUN
ejpam-6225	1134	36	,	,	PUNCT
ejpam-6225	1134	37	ς4	ς4	NOUN
ejpam-6225	1134	38	=	=	NOUN
ejpam-6225	1134	39	ability	ability	NOUN
ejpam-6225	1134	40	for	for	ADP
ejpam-6225	1134	41	working	work	VERB
ejpam-6225	1134	42	under	under	ADP
ejpam-6225	1134	43	pressure	pressure	NOUN
ejpam-6225	1134	44	,	,	PUNCT
ejpam-6225	1134	45	ς5	ς5	NOUN
ejpam-6225	1134	46	=	=	PUNCT
ejpam-6225	1134	47	attributes	attribute	NOUN
ejpam-6225	1134	48	of	of	ADP
ejpam-6225	1134	49	academic	academic	ADJ
ejpam-6225	1134	50	leadership	leadership	NOUN
ejpam-6225	1134	51	,	,	PUNCT
ejpam-6225	1134	52	and	and	CCONJ
ejpam-6225	1134	53	ς6	ς6	PROPN
ejpam-6225	1134	54	=	=	PUNCT
ejpam-6225	1134	55	contribution	contribution	NOUN
ejpam-6225	1134	56	to	to	ADP
ejpam-6225	1134	57	x	x	PROPN
ejpam-6225	1134	58	university	university	PROPN
ejpam-6225	1134	59	.	.	PUNCT
ejpam-6225	1135	1	define	define	NOUN
ejpam-6225	1135	2	,	,	PUNCT
ejpam-6225	1135	3	an	an	DET
ejpam-6225	1135	4	ideal	ideal	NOUN
ejpam-6225	1135	5	on	on	ADP
ejpam-6225	1135	6	q	q	NOUN
ejpam-6225	1135	7	as	as	ADP
ejpam-6225	1135	8	l	l	NOUN
ejpam-6225	1135	9	=	=	SYM
ejpam-6225	1135	10	{	{	PUNCT
ejpam-6225	1135	11	∅	∅	NOUN
ejpam-6225	1135	12	,	,	PUNCT
ejpam-6225	1135	13	.{{1ג	.{{1ג	ADJ
ejpam-6225	1135	14	}	}	PUNCT
ejpam-6225	1135	15	step	step	NOUN
ejpam-6225	1135	16	1	1	NUM
ejpam-6225	1135	17	:	:	PUNCT
ejpam-6225	1135	18	let	let	VERB
ejpam-6225	1135	19	d	d	NOUN
ejpam-6225	1135	20	=	=	PRON
ejpam-6225	1135	21	{	{	PUNCT
ejpam-6225	1135	22	d1,d2,d3	d1,d2,d3	NOUN
ejpam-6225	1135	23	}	}	PUNCT
ejpam-6225	1135	24	is	be	AUX
ejpam-6225	1135	25	the	the	DET
ejpam-6225	1135	26	board	board	NOUN
ejpam-6225	1135	27	on	on	ADP
ejpam-6225	1135	28	the	the	DET
ejpam-6225	1135	29	round	round	ADJ
ejpam-6225	1135	30	table	table	NOUN
ejpam-6225	1135	31	of	of	ADP
ejpam-6225	1135	32	experts	expert	NOUN
ejpam-6225	1135	33	who	who	PRON
ejpam-6225	1135	34	decided	decide	VERB
ejpam-6225	1135	35	the	the	DET
ejpam-6225	1135	36	evaluations	evaluation	NOUN
ejpam-6225	1135	37	for	for	ADP
ejpam-6225	1135	38	those	those	DET
ejpam-6225	1135	39	candidates	candidate	NOUN
ejpam-6225	1135	40	as	as	ADP
ejpam-6225	1135	41	:	:	PUNCT
ejpam-6225	1135	42	=	=	NOUN
ejpam-6225	1135	43	1	1	NUM
ejpam-6225	1135	44	=	=	SYM
ejpam-6225	1135	45	{	{	PUNCT
ejpam-6225	1135	46	c1	c1	PROPN
ejpam-6225	1135	47	,	,	PUNCT
ejpam-6225	1135	48	c2	c2	PROPN
ejpam-6225	1135	49	,	,	PUNCT
ejpam-6225	1135	50	c3	c3	PROPN
ejpam-6225	1135	51	}	}	PUNCT
ejpam-6225	1135	52	,	,	PUNCT
ejpam-6225	1135	53	=	=	NOUN
ejpam-6225	1135	54	2	2	NUM
ejpam-6225	1135	55	=	=	SYM
ejpam-6225	1135	56	{	{	PUNCT
ejpam-6225	1135	57	c1	c1	PROPN
ejpam-6225	1135	58	,	,	PUNCT
ejpam-6225	1135	59	c3	c3	PROPN
ejpam-6225	1135	60	,	,	PUNCT
ejpam-6225	1135	61	c5	c5	PROPN
ejpam-6225	1135	62	}	}	PUNCT
ejpam-6225	1135	63	and	and	CCONJ
ejpam-6225	1135	64	=3	=3	VERB
ejpam-6225	1135	65	=	=	SYM
ejpam-6225	1135	66	{	{	PUNCT
ejpam-6225	1135	67	c2	c2	PROPN
ejpam-6225	1135	68	,	,	PUNCT
ejpam-6225	1135	69	c4	c4	NOUN
ejpam-6225	1135	70	,	,	PUNCT
ejpam-6225	1135	71	c5	c5	PROPN
ejpam-6225	1135	72	}	}	PUNCT
ejpam-6225	1135	73	step	step	VERB
ejpam-6225	1135	74	2	2	NUM
ejpam-6225	1135	75	:	:	PUNCT
ejpam-6225	1135	76	the	the	DET
ejpam-6225	1135	77	results	result	NOUN
ejpam-6225	1135	78	of	of	ADP
ejpam-6225	1135	79	the	the	DET
ejpam-6225	1135	80	board	board	NOUN
ejpam-6225	1135	81	in	in	ADP
ejpam-6225	1135	82	two	two	NUM
ejpam-6225	1135	83	different	different	ADJ
ejpam-6225	1135	84	meetings	meeting	NOUN
ejpam-6225	1135	85	and	and	CCONJ
ejpam-6225	1135	86	times	time	NOUN
ejpam-6225	1135	87	for	for	ADP
ejpam-6225	1135	88	the	the	DET
ejpam-6225	1135	89	candidates	candidate	NOUN
ejpam-6225	1135	90	are	be	AUX
ejpam-6225	1135	91	presented	present	VERB
ejpam-6225	1135	92	in	in	ADP
ejpam-6225	1135	93	the	the	DET
ejpam-6225	1135	94	form	form	NOUN
ejpam-6225	1135	95	of	of	ADP
ejpam-6225	1135	96	bipolar	bipolar	ADJ
ejpam-6225	1135	97	soft	soft	ADJ
ejpam-6225	1135	98	sets	set	NOUN
ejpam-6225	1135	99	as	as	ADP
ejpam-6225	1135	100	β1	β1	PROPN
ejpam-6225	1135	101	=	=	SYM
ejpam-6225	1135	102	(	(	PUNCT
ejpam-6225	1135	103	f1	f1	PROPN
ejpam-6225	1135	104	,	,	PUNCT
ejpam-6225	1135	105	g1	g1	PROPN
ejpam-6225	1135	106	:	:	PUNCT
ejpam-6225	1135	107	℘	℘	NUM
ejpam-6225	1135	108	)	)	PUNCT
ejpam-6225	1135	109	and	and	CCONJ
ejpam-6225	1135	110	β2	β2	NOUN
ejpam-6225	1135	111	=	=	SYM
ejpam-6225	1135	112	(	(	PUNCT
ejpam-6225	1135	113	f2	f2	PROPN
ejpam-6225	1135	114	,	,	PUNCT
ejpam-6225	1135	115	g2	g2	PROPN
ejpam-6225	1135	116	:	:	PUNCT
ejpam-6225	1135	117	℘	℘	PROPN
ejpam-6225	1135	118	)	)	PUNCT
ejpam-6225	1135	119	,	,	PUNCT
ejpam-6225	1135	120	where	where	SCONJ
ejpam-6225	1135	121	positive	positive	ADJ
ejpam-6225	1135	122	d.	d.	PROPN
ejpam-6225	1135	123	shi	shi	PROPN
ejpam-6225	1135	124	et	et	PROPN
ejpam-6225	1135	125	al	al	PROPN
ejpam-6225	1135	126	.	.	PUNCT
ejpam-6225	1135	127	/	/	SYM
ejpam-6225	1135	128	eur	eur	PROPN
ejpam-6225	1135	129	.	.	PUNCT
ejpam-6225	1136	1	j.	j.	PROPN
ejpam-6225	1136	2	pure	pure	PROPN
ejpam-6225	1136	3	appl	appl	PROPN
ejpam-6225	1136	4	.	.	PROPN
ejpam-6225	1136	5	math	math	PROPN
ejpam-6225	1136	6	,	,	PUNCT
ejpam-6225	1136	7	18	18	NUM
ejpam-6225	1136	8	(	(	PUNCT
ejpam-6225	1136	9	4	4	NUM
ejpam-6225	1136	10	)	)	PUNCT
ejpam-6225	1136	11	(	(	PUNCT
ejpam-6225	1136	12	2025	2025	NUM
ejpam-6225	1136	13	)	)	PUNCT
ejpam-6225	1136	14	,	,	PUNCT
ejpam-6225	1136	15	6225	6225	NUM
ejpam-6225	1136	16	30	30	NUM
ejpam-6225	1136	17	of	of	ADP
ejpam-6225	1136	18	36	36	NUM
ejpam-6225	1136	19	figure	figure	NOUN
ejpam-6225	1136	20	1	1	NUM
ejpam-6225	1136	21	:	:	PUNCT
ejpam-6225	1136	22	summary	summary	NOUN
ejpam-6225	1136	23	of	of	ADP
ejpam-6225	1136	24	the	the	DET
ejpam-6225	1136	25	proposed	propose	VERB
ejpam-6225	1136	26	mathematical	mathematical	ADJ
ejpam-6225	1136	27	modelling	modelling	NOUN
ejpam-6225	1136	28	in	in	ADP
ejpam-6225	1136	29	subsection	subsection	NOUN
ejpam-6225	1136	30	7.2	7.2	NUM
ejpam-6225	1136	31	for	for	ADP
ejpam-6225	1136	32	magdm	magdm	NOUN
ejpam-6225	1136	33	.	.	PUNCT
ejpam-6225	1137	1	membership	membership	NOUN
ejpam-6225	1137	2	map	map	NOUN
ejpam-6225	1137	3	of	of	ADP
ejpam-6225	1137	4	bipolar	bipolar	ADJ
ejpam-6225	1137	5	soft	soft	ADJ
ejpam-6225	1137	6	sets	set	NOUN
ejpam-6225	1137	7	denotes	denote	VERB
ejpam-6225	1137	8	the	the	DET
ejpam-6225	1137	9	ability	ability	NOUN
ejpam-6225	1137	10	of	of	ADP
ejpam-6225	1137	11	candidates	candidate	NOUN
ejpam-6225	1137	12	and	and	CCONJ
ejpam-6225	1137	13	negative	negative	ADJ
ejpam-6225	1137	14	membership	membership	NOUN
ejpam-6225	1137	15	denotes	denote	NOUN
ejpam-6225	1137	16	non	non	ADJ
ejpam-6225	1137	17	-	-	NOUN
ejpam-6225	1137	18	ability	ability	NOUN
ejpam-6225	1137	19	of	of	ADP
ejpam-6225	1137	20	candidates	candidate	NOUN
ejpam-6225	1137	21	in	in	ADP
ejpam-6225	1137	22	a	a	DET
ejpam-6225	1137	23	certain	certain	ADJ
ejpam-6225	1137	24	attribute	attribute	NOUN
ejpam-6225	1137	25	:	:	PUNCT
ejpam-6225	1137	26	f1	f1	NOUN
ejpam-6225	1137	27	:	:	PUNCT
ejpam-6225	1137	28	℘	℘	VERB
ejpam-6225	1137	29	−→	−→	NOUN
ejpam-6225	1137	30	2q	2q	NOUN
ejpam-6225	1137	31	,	,	PUNCT
ejpam-6225	1137	32	ς	ς	PROPN
ejpam-6225	1137	33	7→	7→	NUM
ejpam-6225	1137	34			PROPN
ejpam-6225	1137	35	{	{	PUNCT
ejpam-6225	1137	36	c1	c1	PROPN
ejpam-6225	1137	37	,	,	PUNCT
ejpam-6225	1137	38	c3	c3	PROPN
ejpam-6225	1137	39	}	}	PUNCT
ejpam-6225	1137	40	,	,	PUNCT
ejpam-6225	1137	41	if	if	SCONJ
ejpam-6225	1137	42	ς	ς	PROPN
ejpam-6225	1137	43	=	=	PUNCT
ejpam-6225	1137	44	ς1	ς1	NOUN
ejpam-6225	1137	45	,	,	PUNCT
ejpam-6225	1137	46	{	{	PUNCT
ejpam-6225	1137	47	c1	c1	NOUN
ejpam-6225	1137	48	,	,	PUNCT
ejpam-6225	1137	49	c4	c4	NOUN
ejpam-6225	1137	50	,	,	PUNCT
ejpam-6225	1137	51	c5	c5	PROPN
ejpam-6225	1137	52	}	}	PUNCT
ejpam-6225	1137	53	,	,	PUNCT
ejpam-6225	1137	54	if	if	SCONJ
ejpam-6225	1137	55	ς	ς	PROPN
ejpam-6225	1137	56	=	=	SYM
ejpam-6225	1137	57	ς2	ς2	PROPN
ejpam-6225	1137	58	,	,	PUNCT
ejpam-6225	1137	59	{	{	PUNCT
ejpam-6225	1137	60	c2	c2	PROPN
ejpam-6225	1137	61	}	}	PUNCT
ejpam-6225	1137	62	,	,	PUNCT
ejpam-6225	1137	63	if	if	SCONJ
ejpam-6225	1137	64	ς	ς	PROPN
ejpam-6225	1137	65	=	=	SYM
ejpam-6225	1137	66	ς3	ς3	PROPN
ejpam-6225	1137	67	,	,	PUNCT
ejpam-6225	1137	68	{	{	PUNCT
ejpam-6225	1137	69	c2	c2	PROPN
ejpam-6225	1137	70	,	,	PUNCT
ejpam-6225	1137	71	c4	c4	NOUN
ejpam-6225	1137	72	,	,	PUNCT
ejpam-6225	1137	73	c5	c5	PROPN
ejpam-6225	1137	74	}	}	PUNCT
ejpam-6225	1137	75	,	,	PUNCT
ejpam-6225	1137	76	if	if	SCONJ
ejpam-6225	1137	77	ς	ς	PROPN
ejpam-6225	1137	78	=	=	PROPN
ejpam-6225	1137	79	ς4	ς4	PROPN
ejpam-6225	1137	80	,	,	PUNCT
ejpam-6225	1137	81	{	{	PUNCT
ejpam-6225	1137	82	c1	c1	NOUN
ejpam-6225	1137	83	,	,	PUNCT
ejpam-6225	1137	84	c2	c2	PROPN
ejpam-6225	1137	85	}	}	PUNCT
ejpam-6225	1137	86	,	,	PUNCT
ejpam-6225	1137	87	if	if	SCONJ
ejpam-6225	1137	88	ς	ς	PROPN
ejpam-6225	1137	89	=	=	SYM
ejpam-6225	1137	90	ς5	ς5	PROPN
ejpam-6225	1137	91	,	,	PUNCT
ejpam-6225	1137	92	{	{	PUNCT
ejpam-6225	1137	93	c3	c3	PROPN
ejpam-6225	1137	94	,	,	PUNCT
ejpam-6225	1137	95	c5	c5	PROPN
ejpam-6225	1137	96	}	}	PUNCT
ejpam-6225	1137	97	,	,	PUNCT
ejpam-6225	1137	98	if	if	SCONJ
ejpam-6225	1137	99	ς	ς	PROPN
ejpam-6225	1137	100	=	=	SYM
ejpam-6225	1137	101	ς6	ς6	PROPN
ejpam-6225	1137	102	,	,	PUNCT
ejpam-6225	1137	103	and	and	CCONJ
ejpam-6225	1137	104	g	g	NOUN
ejpam-6225	1137	105	:	:	PUNCT
ejpam-6225	1137	106	ℵ	ℵ	X
ejpam-6225	1137	107	−→	−→	NOUN
ejpam-6225	1137	108	2q	2q	NOUN
ejpam-6225	1137	109	,	,	PUNCT
ejpam-6225	1137	110	¬ς	¬ς	PROPN
ejpam-6225	1137	111	7→	7→	NUM
ejpam-6225	1137	112			PROPN
ejpam-6225	1137	113	{	{	PUNCT
ejpam-6225	1137	114	c2	c2	PROPN
ejpam-6225	1137	115	,	,	PUNCT
ejpam-6225	1137	116	c5	c5	PROPN
ejpam-6225	1137	117	}	}	PUNCT
ejpam-6225	1137	118	,	,	PUNCT
ejpam-6225	1138	1	if	if	SCONJ
ejpam-6225	1138	2	¬ς	¬ς	NOUN
ejpam-6225	1138	3	=	=	SYM
ejpam-6225	1138	4	¬ς1	¬ς1	ADV
ejpam-6225	1138	5	,	,	PUNCT
ejpam-6225	1138	6	{	{	PUNCT
ejpam-6225	1138	7	c3	c3	NOUN
ejpam-6225	1138	8	}	}	PUNCT
ejpam-6225	1138	9	,	,	PUNCT
ejpam-6225	1138	10	if	if	SCONJ
ejpam-6225	1138	11	¬ς	¬ς	NOUN
ejpam-6225	1138	12	=	=	PUNCT
ejpam-6225	1138	13	¬ς2	¬ς2	PROPN
ejpam-6225	1138	14	,	,	PUNCT
ejpam-6225	1138	15	{	{	PUNCT
ejpam-6225	1138	16	c3	c3	PROPN
ejpam-6225	1138	17	,	,	PUNCT
ejpam-6225	1138	18	c4	c4	NOUN
ejpam-6225	1138	19	,	,	PUNCT
ejpam-6225	1138	20	c5	c5	PROPN
ejpam-6225	1138	21	}	}	PUNCT
ejpam-6225	1138	22	,	,	PUNCT
ejpam-6225	1138	23	if	if	SCONJ
ejpam-6225	1138	24	¬ς	¬ς	NOUN
ejpam-6225	1138	25	=	=	SYM
ejpam-6225	1138	26	¬ς3	¬ς3	NOUN
ejpam-6225	1138	27	,	,	PUNCT
ejpam-6225	1138	28	{	{	PUNCT
ejpam-6225	1138	29	c1	c1	NOUN
ejpam-6225	1138	30	,	,	PUNCT
ejpam-6225	1138	31	c3	c3	PROPN
ejpam-6225	1138	32	}	}	PUNCT
ejpam-6225	1138	33	,	,	PUNCT
ejpam-6225	1138	34	if	if	SCONJ
ejpam-6225	1138	35	¬ς	¬ς	NOUN
ejpam-6225	1138	36	=	=	SYM
ejpam-6225	1138	37	¬ς4	¬ς4	NOUN
ejpam-6225	1138	38	,	,	PUNCT
ejpam-6225	1138	39	{	{	PUNCT
ejpam-6225	1138	40	c5	c5	PROPN
ejpam-6225	1138	41	}	}	PUNCT
ejpam-6225	1138	42	,	,	PUNCT
ejpam-6225	1138	43	if	if	SCONJ
ejpam-6225	1138	44	¬ς	¬ς	NOUN
ejpam-6225	1138	45	=	=	NOUN
ejpam-6225	1138	46	¬ς5	¬ς5	NOUN
ejpam-6225	1138	47	,	,	PUNCT
ejpam-6225	1138	48	{	{	PUNCT
ejpam-6225	1138	49	c2	c2	PROPN
ejpam-6225	1138	50	,	,	PUNCT
ejpam-6225	1138	51	c4	c4	NOUN
ejpam-6225	1138	52	}	}	PUNCT
ejpam-6225	1138	53	,	,	PUNCT
ejpam-6225	1138	54	if	if	SCONJ
ejpam-6225	1138	55	¬ς	¬ς	NOUN
ejpam-6225	1138	56	=	=	SYM
ejpam-6225	1138	57	¬ς6	¬ς6	NOUN
ejpam-6225	1138	58	,	,	PUNCT
ejpam-6225	1138	59	also	also	ADV
ejpam-6225	1138	60	,	,	PUNCT
ejpam-6225	1138	61	f2	f2	PROPN
ejpam-6225	1138	62	:	:	PUNCT
ejpam-6225	1138	63	℘	℘	X
ejpam-6225	1138	64	−→	−→	NOUN
ejpam-6225	1138	65	2q	2q	NOUN
ejpam-6225	1138	66	ς	ς	PROPN
ejpam-6225	1138	67	7→	7→	NUM
ejpam-6225	1138	68			PROPN
ejpam-6225	1138	69	{	{	PUNCT
ejpam-6225	1138	70	c2	c2	PROPN
ejpam-6225	1138	71	,	,	PUNCT
ejpam-6225	1138	72	c3	c3	PROPN
ejpam-6225	1138	73	}	}	PUNCT
ejpam-6225	1138	74	,	,	PUNCT
ejpam-6225	1138	75	if	if	SCONJ
ejpam-6225	1138	76	ς	ς	PROPN
ejpam-6225	1138	77	=	=	PUNCT
ejpam-6225	1138	78	ς1	ς1	NOUN
ejpam-6225	1138	79	,	,	PUNCT
ejpam-6225	1138	80	{	{	PUNCT
ejpam-6225	1138	81	c1	c1	NOUN
ejpam-6225	1138	82	,	,	PUNCT
ejpam-6225	1138	83	c3	c3	PROPN
ejpam-6225	1138	84	}	}	PUNCT
ejpam-6225	1138	85	,	,	PUNCT
ejpam-6225	1138	86	if	if	SCONJ
ejpam-6225	1138	87	ς	ς	PROPN
ejpam-6225	1138	88	=	=	SYM
ejpam-6225	1138	89	ς2	ς2	PROPN
ejpam-6225	1138	90	,	,	PUNCT
ejpam-6225	1138	91	{	{	PUNCT
ejpam-6225	1138	92	c2	c2	PROPN
ejpam-6225	1138	93	,	,	PUNCT
ejpam-6225	1138	94	c3	c3	PROPN
ejpam-6225	1138	95	,	,	PUNCT
ejpam-6225	1138	96	c4	c4	NOUN
ejpam-6225	1138	97	}	}	PUNCT
ejpam-6225	1138	98	,	,	PUNCT
ejpam-6225	1138	99	if	if	SCONJ
ejpam-6225	1138	100	ς	ς	PROPN
ejpam-6225	1138	101	=	=	SYM
ejpam-6225	1138	102	ς3	ς3	PROPN
ejpam-6225	1138	103	,	,	PUNCT
ejpam-6225	1138	104	{	{	PUNCT
ejpam-6225	1138	105	c5	c5	PROPN
ejpam-6225	1138	106	}	}	PUNCT
ejpam-6225	1138	107	,	,	PUNCT
ejpam-6225	1138	108	if	if	SCONJ
ejpam-6225	1138	109	ς	ς	PROPN
ejpam-6225	1138	110	=	=	PROPN
ejpam-6225	1138	111	ς4	ς4	PROPN
ejpam-6225	1138	112	,	,	PUNCT
ejpam-6225	1138	113	{	{	PUNCT
ejpam-6225	1138	114	c1	c1	NOUN
ejpam-6225	1138	115	,	,	PUNCT
ejpam-6225	1138	116	c5	c5	PROPN
ejpam-6225	1138	117	}	}	PUNCT
ejpam-6225	1138	118	,	,	PUNCT
ejpam-6225	1138	119	if	if	SCONJ
ejpam-6225	1138	120	ς	ς	PROPN
ejpam-6225	1138	121	=	=	SYM
ejpam-6225	1138	122	ς5	ς5	PROPN
ejpam-6225	1138	123	,	,	PUNCT
ejpam-6225	1138	124	{	{	PUNCT
ejpam-6225	1138	125	c3	c3	NOUN
ejpam-6225	1138	126	,	,	PUNCT
ejpam-6225	1138	127	c4	c4	NOUN
ejpam-6225	1138	128	,	,	PUNCT
ejpam-6225	1138	129	c5	c5	PROPN
ejpam-6225	1138	130	}	}	PUNCT
ejpam-6225	1138	131	,	,	PUNCT
ejpam-6225	1138	132	if	if	SCONJ
ejpam-6225	1138	133	ς	ς	PROPN
ejpam-6225	1138	134	=	=	SYM
ejpam-6225	1138	135	ς6	ς6	PROPN
ejpam-6225	1138	136	,	,	PUNCT
ejpam-6225	1138	137	and	and	CCONJ
ejpam-6225	1138	138	g2	g2	PROPN
ejpam-6225	1138	139	:	:	PUNCT
ejpam-6225	1138	140	ℵ	ℵ	X
ejpam-6225	1138	141	−→	−→	NOUN
ejpam-6225	1138	142	2q	2q	NOUN
ejpam-6225	1138	143	,	,	PUNCT
ejpam-6225	1138	144	¬ς	¬ς	PROPN
ejpam-6225	1138	145	7→	7→	NUM
ejpam-6225	1138	146			PROPN
ejpam-6225	1138	147	{	{	PUNCT
ejpam-6225	1138	148	c4	c4	NOUN
ejpam-6225	1138	149	}	}	PUNCT
ejpam-6225	1138	150	,	,	PUNCT
ejpam-6225	1138	151	if	if	SCONJ
ejpam-6225	1138	152	¬ς	¬ς	NOUN
ejpam-6225	1138	153	=	=	SYM
ejpam-6225	1138	154	¬ς1	¬ς1	ADV
ejpam-6225	1138	155	,	,	PUNCT
ejpam-6225	1138	156	{	{	PUNCT
ejpam-6225	1138	157	c4	c4	NOUN
ejpam-6225	1138	158	,	,	PUNCT
ejpam-6225	1138	159	c5	c5	PROPN
ejpam-6225	1138	160	}	}	PUNCT
ejpam-6225	1138	161	,	,	PUNCT
ejpam-6225	1138	162	if	if	SCONJ
ejpam-6225	1138	163	¬ς	¬ς	NOUN
ejpam-6225	1138	164	=	=	SYM
ejpam-6225	1138	165	¬ς2	¬ς2	PROPN
ejpam-6225	1138	166	,	,	PUNCT
ejpam-6225	1138	167	{	{	PUNCT
ejpam-6225	1138	168	c1	c1	NOUN
ejpam-6225	1138	169	}	}	PUNCT
ejpam-6225	1138	170	,	,	PUNCT
ejpam-6225	1138	171	if	if	SCONJ
ejpam-6225	1138	172	¬ς	¬ς	NOUN
ejpam-6225	1138	173	=	=	SYM
ejpam-6225	1138	174	¬ς3	¬ς3	NOUN
ejpam-6225	1138	175	,	,	PUNCT
ejpam-6225	1138	176	{	{	PUNCT
ejpam-6225	1138	177	c1	c1	NOUN
ejpam-6225	1138	178	,	,	PUNCT
ejpam-6225	1138	179	c3	c3	PROPN
ejpam-6225	1138	180	,	,	PUNCT
ejpam-6225	1138	181	c4	c4	NOUN
ejpam-6225	1138	182	}	}	PUNCT
ejpam-6225	1138	183	,	,	PUNCT
ejpam-6225	1138	184	if	if	SCONJ
ejpam-6225	1138	185	¬ς	¬ς	NOUN
ejpam-6225	1138	186	=	=	SYM
ejpam-6225	1138	187	¬ς4	¬ς4	NOUN
ejpam-6225	1138	188	,	,	PUNCT
ejpam-6225	1138	189	{	{	PUNCT
ejpam-6225	1138	190	c2	c2	PROPN
ejpam-6225	1138	191	,	,	PUNCT
ejpam-6225	1138	192	c3	c3	PROPN
ejpam-6225	1138	193	}	}	PUNCT
ejpam-6225	1138	194	,	,	PUNCT
ejpam-6225	1138	195	if	if	SCONJ
ejpam-6225	1138	196	¬ς	¬ς	NOUN
ejpam-6225	1138	197	=	=	NOUN
ejpam-6225	1138	198	¬ς5	¬ς5	NOUN
ejpam-6225	1138	199	,	,	PUNCT
ejpam-6225	1138	200	{	{	PUNCT
ejpam-6225	1138	201	c1	c1	NOUN
ejpam-6225	1138	202	,	,	PUNCT
ejpam-6225	1138	203	c2	c2	PROPN
ejpam-6225	1138	204	}	}	PUNCT
ejpam-6225	1138	205	,	,	PUNCT
ejpam-6225	1138	206	if	if	SCONJ
ejpam-6225	1138	207	¬ς	¬ς	NOUN
ejpam-6225	1138	208	=	=	SYM
ejpam-6225	1138	209	¬ς6	¬ς6	NOUN
ejpam-6225	1138	210	.	.	PUNCT
ejpam-6225	1139	1	step	step	NOUN
ejpam-6225	1139	2	3	3	NUM
ejpam-6225	1139	3	:	:	PUNCT
ejpam-6225	1139	4	the	the	DET
ejpam-6225	1139	5	∗−ideal	∗−ideal	ADJ
ejpam-6225	1139	6	bipolar	bipolar	ADJ
ejpam-6225	1139	7	soft	soft	ADJ
ejpam-6225	1139	8	lower	lower	ADV
ejpam-6225	1139	9	and	and	CCONJ
ejpam-6225	1139	10	uas	uas	NOUN
ejpam-6225	1139	11	of	of	ADP
ejpam-6225	1139	12	=	=	PROPN
ejpam-6225	1139	13	j	j	PROPN
ejpam-6225	1139	14	;	;	PUNCT
ejpam-6225	1139	15	(	(	PUNCT
ejpam-6225	1139	16	j	j	NOUN
ejpam-6225	1139	17	=	=	SYM
ejpam-6225	1139	18	1	1	NUM
ejpam-6225	1139	19	,	,	PUNCT
ejpam-6225	1139	20	2	2	NUM
ejpam-6225	1139	21	,	,	PUNCT
ejpam-6225	1139	22	3	3	NUM
ejpam-6225	1139	23	)	)	PUNCT
ejpam-6225	1139	24	with	with	ADP
ejpam-6225	1139	25	respect	respect	NOUN
ejpam-6225	1139	26	to	to	ADP
ejpam-6225	1139	27	βq	βq	ADJ
ejpam-6225	1140	1	=	=	PUNCT
ejpam-6225	1140	2	d.	d.	PROPN
ejpam-6225	1140	3	shi	shi	PROPN
ejpam-6225	1140	4	et	et	PROPN
ejpam-6225	1140	5	al	al	PROPN
ejpam-6225	1140	6	.	.	PUNCT
ejpam-6225	1140	7	/	/	SYM
ejpam-6225	1140	8	eur	eur	PROPN
ejpam-6225	1140	9	.	.	PUNCT
ejpam-6225	1141	1	j.	j.	PROPN
ejpam-6225	1141	2	pure	pure	PROPN
ejpam-6225	1141	3	appl	appl	PROPN
ejpam-6225	1141	4	.	.	PROPN
ejpam-6225	1141	5	math	math	PROPN
ejpam-6225	1141	6	,	,	PUNCT
ejpam-6225	1141	7	18	18	NUM
ejpam-6225	1141	8	(	(	PUNCT
ejpam-6225	1141	9	4	4	NUM
ejpam-6225	1141	10	)	)	PUNCT
ejpam-6225	1141	11	(	(	PUNCT
ejpam-6225	1141	12	2025	2025	NUM
ejpam-6225	1141	13	)	)	PUNCT
ejpam-6225	1141	14	,	,	PUNCT
ejpam-6225	1141	15	6225	6225	NUM
ejpam-6225	1141	16	31	31	NUM
ejpam-6225	1141	17	of	of	ADP
ejpam-6225	1141	18	36	36	NUM
ejpam-6225	1141	19	(	(	PUNCT
ejpam-6225	1141	20	fq	fq	PROPN
ejpam-6225	1141	21	,	,	PUNCT
ejpam-6225	1141	22	gq	gq	NOUN
ejpam-6225	1141	23	:	:	PUNCT
ejpam-6225	1141	24	℘	℘	PROPN
ejpam-6225	1141	25	)	)	PUNCT
ejpam-6225	1141	26	∈	∈	PROPN
ejpam-6225	1141	27	bssq	bssq	NOUN
ejpam-6225	1141	28	;	;	PUNCT
ejpam-6225	1141	29	(	(	PUNCT
ejpam-6225	1141	30	q	q	NOUN
ejpam-6225	1141	31	=	=	SYM
ejpam-6225	1141	32	1	1	NUM
ejpam-6225	1141	33	,	,	PUNCT
ejpam-6225	1141	34	2	2	NUM
ejpam-6225	1141	35	)	)	PUNCT
ejpam-6225	1141	36	could	could	AUX
ejpam-6225	1141	37	be	be	AUX
ejpam-6225	1141	38	computed	compute	VERB
ejpam-6225	1141	39	as	as	ADP
ejpam-6225	1141	40	follow	follow	NOUN
ejpam-6225	1141	41	:	:	PUNCT
ejpam-6225	1141	42	∗	∗	NOUN
ejpam-6225	1141	43	−	−	PROPN
ejpam-6225	1141	44	psrl	psrl	PROPN
ejpam-6225	1141	45	β1	β1	PROPN
ejpam-6225	1141	46	(=	(=	ADV
ejpam-6225	1141	47	1	1	X
ejpam-6225	1141	48	)	)	PUNCT
ejpam-6225	1141	49	=	=	SYM
ejpam-6225	1142	1	(	(	PUNCT
ejpam-6225	1142	2	∗	∗	NOUN
ejpam-6225	1142	3	−	−	PROPN
ejpam-6225	1142	4	srl	srl	PROPN
ejpam-6225	1142	5	β+	β+	SYM
ejpam-6225	1142	6	1	1	NUM
ejpam-6225	1142	7	(=	(=	NOUN
ejpam-6225	1142	8	1	1	NUM
ejpam-6225	1142	9	)	)	PUNCT
ejpam-6225	1142	10	,	,	PUNCT
ejpam-6225	1142	11	∗	∗	NOUN
ejpam-6225	1142	12	−	−	PROPN
ejpam-6225	1142	13	srl	srl	PROPN
ejpam-6225	1142	14	β−	β−	NOUN
ejpam-6225	1142	15	1	1	NUM
ejpam-6225	1142	16	(=	(=	NOUN
ejpam-6225	1142	17	1	1	NUM
ejpam-6225	1142	18	)	)	PUNCT
ejpam-6225	1142	19	)	)	PUNCT
ejpam-6225	1143	1	=	=	SYM
ejpam-6225	1143	2	(	(	PUNCT
ejpam-6225	1143	3	{	{	PUNCT
ejpam-6225	1143	4	c1	c1	NOUN
ejpam-6225	1143	5	,	,	PUNCT
ejpam-6225	1143	6	c2	c2	PROPN
ejpam-6225	1143	7	,	,	PUNCT
ejpam-6225	1143	8	c3	c3	PROPN
ejpam-6225	1143	9	}	}	PUNCT
ejpam-6225	1143	10	,	,	PUNCT
ejpam-6225	1143	11	{	{	PUNCT
ejpam-6225	1143	12	c2	c2	PROPN
ejpam-6225	1143	13	,	,	PUNCT
ejpam-6225	1143	14	c4	c4	NOUN
ejpam-6225	1143	15	,	,	PUNCT
ejpam-6225	1143	16	c5	c5	PROPN
ejpam-6225	1143	17	}	}	PUNCT
ejpam-6225	1143	18	)	)	PUNCT
ejpam-6225	1143	19	;	;	PUNCT
ejpam-6225	1143	20	∗	∗	NOUN
ejpam-6225	1143	21	−	−	PROPN
ejpam-6225	1143	22	psr	psr	PROPN
ejpam-6225	1143	23	l	l	PROPN
ejpam-6225	1143	24	β1	β1	PROPN
ejpam-6225	1143	25	(=	(=	NOUN
ejpam-6225	1143	26	1	1	X
ejpam-6225	1143	27	)	)	PUNCT
ejpam-6225	1143	28	=	=	SYM
ejpam-6225	1143	29	(	(	PUNCT
ejpam-6225	1143	30	∗	∗	NOUN
ejpam-6225	1143	31	−	−	PROPN
ejpam-6225	1143	32	sr	sr	PROPN
ejpam-6225	1143	33	l	l	PROPN
ejpam-6225	1143	34	β+	β+	PUNCT
ejpam-6225	1143	35	1	1	NUM
ejpam-6225	1143	36	(=	(=	NOUN
ejpam-6225	1143	37	1	1	NUM
ejpam-6225	1143	38	)	)	PUNCT
ejpam-6225	1143	39	,	,	PUNCT
ejpam-6225	1143	40	∗	∗	NOUN
ejpam-6225	1143	41	−	−	PROPN
ejpam-6225	1144	1	sr	sr	PROPN
ejpam-6225	1144	2	l	l	NOUN
ejpam-6225	1144	3	β−	β−	NOUN
ejpam-6225	1144	4	1	1	NUM
ejpam-6225	1144	5	(=	(=	NOUN
ejpam-6225	1144	6	1	1	NUM
ejpam-6225	1144	7	)	)	PUNCT
ejpam-6225	1144	8	)	)	PUNCT
ejpam-6225	1145	1	=	=	SYM
ejpam-6225	1145	2	(	(	PUNCT
ejpam-6225	1145	3	{	{	PUNCT
ejpam-6225	1145	4	c1	c1	NOUN
ejpam-6225	1145	5	,	,	PUNCT
ejpam-6225	1145	6	c2	c2	PROPN
ejpam-6225	1145	7	,	,	PUNCT
ejpam-6225	1145	8	c3	c3	PROPN
ejpam-6225	1145	9	,	,	PUNCT
ejpam-6225	1145	10	c4	c4	NOUN
ejpam-6225	1145	11	}	}	PUNCT
ejpam-6225	1145	12	,	,	PUNCT
ejpam-6225	1145	13	{	{	PUNCT
ejpam-6225	1145	14	c5	c5	PROPN
ejpam-6225	1145	15	}	}	PUNCT
ejpam-6225	1145	16	)	)	PUNCT
ejpam-6225	1145	17	;	;	PUNCT
ejpam-6225	1145	18	∗	∗	NOUN
ejpam-6225	1145	19	−	−	PROPN
ejpam-6225	1145	20	psrl	psrl	PROPN
ejpam-6225	1145	21	β1	β1	PROPN
ejpam-6225	1145	22	(=	(=	ADV
ejpam-6225	1145	23	2	2	NUM
ejpam-6225	1145	24	)	)	PUNCT
ejpam-6225	1145	25	=	=	SYM
ejpam-6225	1145	26	(	(	PUNCT
ejpam-6225	1145	27	∗	∗	NOUN
ejpam-6225	1145	28	−	−	PROPN
ejpam-6225	1145	29	srl	srl	PROPN
ejpam-6225	1145	30	β+	β+	SYM
ejpam-6225	1145	31	1	1	NUM
ejpam-6225	1145	32	(=	(=	NOUN
ejpam-6225	1145	33	2	2	NUM
ejpam-6225	1145	34	)	)	PUNCT
ejpam-6225	1145	35	,	,	PUNCT
ejpam-6225	1145	36	∗	∗	NOUN
ejpam-6225	1145	37	−	−	PROPN
ejpam-6225	1145	38	srl	srl	PROPN
ejpam-6225	1145	39	β−	β−	NOUN
ejpam-6225	1145	40	1	1	NUM
ejpam-6225	1145	41	(=	(=	NOUN
ejpam-6225	1145	42	2	2	NUM
ejpam-6225	1145	43	)	)	PUNCT
ejpam-6225	1145	44	)	)	PUNCT
ejpam-6225	1146	1	=	=	SYM
ejpam-6225	1146	2	(	(	PUNCT
ejpam-6225	1146	3	{	{	PUNCT
ejpam-6225	1146	4	c1	c1	NOUN
ejpam-6225	1146	5	,	,	PUNCT
ejpam-6225	1146	6	c3	c3	PROPN
ejpam-6225	1146	7	,	,	PUNCT
ejpam-6225	1146	8	c5	c5	PROPN
ejpam-6225	1146	9	}	}	PUNCT
ejpam-6225	1146	10	,	,	PUNCT
ejpam-6225	1146	11	{	{	PUNCT
ejpam-6225	1146	12	c2	c2	PROPN
ejpam-6225	1146	13	,	,	PUNCT
ejpam-6225	1146	14	c4	c4	NOUN
ejpam-6225	1146	15	}	}	PUNCT
ejpam-6225	1146	16	)	)	PUNCT
ejpam-6225	1146	17	;	;	PUNCT
ejpam-6225	1146	18	∗	∗	NOUN
ejpam-6225	1146	19	−	−	PROPN
ejpam-6225	1146	20	psr	psr	PROPN
ejpam-6225	1146	21	l	l	PROPN
ejpam-6225	1146	22	β1	β1	PROPN
ejpam-6225	1146	23	(=	(=	NOUN
ejpam-6225	1146	24	2	2	NUM
ejpam-6225	1146	25	)	)	PUNCT
ejpam-6225	1146	26	=	=	SYM
ejpam-6225	1146	27	(	(	PUNCT
ejpam-6225	1146	28	∗	∗	NOUN
ejpam-6225	1146	29	−	−	PROPN
ejpam-6225	1146	30	sr	sr	PROPN
ejpam-6225	1146	31	l	l	PROPN
ejpam-6225	1146	32	β+	β+	PUNCT
ejpam-6225	1146	33	1	1	NUM
ejpam-6225	1146	34	(=	(=	NOUN
ejpam-6225	1146	35	2	2	NUM
ejpam-6225	1146	36	)	)	PUNCT
ejpam-6225	1146	37	,	,	PUNCT
ejpam-6225	1146	38	∗	∗	NOUN
ejpam-6225	1146	39	−	−	PROPN
ejpam-6225	1147	1	sr	sr	PROPN
ejpam-6225	1147	2	l	l	NOUN
ejpam-6225	1147	3	β−	β−	NOUN
ejpam-6225	1147	4	1	1	NUM
ejpam-6225	1147	5	(=	(=	NOUN
ejpam-6225	1147	6	2	2	NUM
ejpam-6225	1147	7	)	)	PUNCT
ejpam-6225	1147	8	)	)	PUNCT
ejpam-6225	1148	1	=	=	SYM
ejpam-6225	1148	2	(	(	PUNCT
ejpam-6225	1148	3	{	{	PUNCT
ejpam-6225	1148	4	c1	c1	NOUN
ejpam-6225	1148	5	,	,	PUNCT
ejpam-6225	1148	6	c3	c3	PROPN
ejpam-6225	1148	7	,	,	PUNCT
ejpam-6225	1148	8	c4	c4	NOUN
ejpam-6225	1148	9	,	,	PUNCT
ejpam-6225	1148	10	c5	c5	PROPN
ejpam-6225	1148	11	}	}	PUNCT
ejpam-6225	1148	12	,	,	PUNCT
ejpam-6225	1148	13	{	{	PUNCT
ejpam-6225	1148	14	c2	c2	PROPN
ejpam-6225	1148	15	,	,	PUNCT
ejpam-6225	1148	16	c4	c4	NOUN
ejpam-6225	1148	17	}	}	PUNCT
ejpam-6225	1148	18	)	)	PUNCT
ejpam-6225	1148	19	;	;	PUNCT
ejpam-6225	1148	20	∗	∗	NOUN
ejpam-6225	1148	21	−	−	PROPN
ejpam-6225	1148	22	psrl	psrl	PROPN
ejpam-6225	1148	23	β1	β1	PROPN
ejpam-6225	1148	24	(	(	PUNCT
ejpam-6225	1148	25	=3	=3	PROPN
ejpam-6225	1148	26	)	)	PUNCT
ejpam-6225	1148	27	=	=	SYM
ejpam-6225	1148	28	(	(	PUNCT
ejpam-6225	1148	29	∗	∗	NOUN
ejpam-6225	1148	30	−	−	PROPN
ejpam-6225	1148	31	srl	srl	PROPN
ejpam-6225	1148	32	β+	β+	SYM
ejpam-6225	1148	33	1	1	NUM
ejpam-6225	1148	34	(	(	PUNCT
ejpam-6225	1148	35	=3	=3	PROPN
ejpam-6225	1148	36	)	)	PUNCT
ejpam-6225	1148	37	,	,	PUNCT
ejpam-6225	1148	38	∗	∗	NOUN
ejpam-6225	1148	39	−	−	PROPN
ejpam-6225	1148	40	srl	srl	PROPN
ejpam-6225	1148	41	β−	β−	PROPN
ejpam-6225	1148	42	1	1	NUM
ejpam-6225	1148	43	(	(	PUNCT
ejpam-6225	1148	44	=3	=3	VERB
ejpam-6225	1148	45	)	)	PUNCT
ejpam-6225	1148	46	)	)	PUNCT
ejpam-6225	1149	1	=	=	PUNCT
ejpam-6225	1149	2	(	(	PUNCT
ejpam-6225	1149	3	{	{	PUNCT
ejpam-6225	1149	4	c2	c2	PROPN
ejpam-6225	1149	5	,	,	PUNCT
ejpam-6225	1149	6	c4	c4	NOUN
ejpam-6225	1149	7	,	,	PUNCT
ejpam-6225	1149	8	c5	c5	PROPN
ejpam-6225	1149	9	}	}	PUNCT
ejpam-6225	1149	10	,	,	PUNCT
ejpam-6225	1149	11	{	{	PUNCT
ejpam-6225	1149	12	c1	c1	NOUN
ejpam-6225	1149	13	,	,	PUNCT
ejpam-6225	1149	14	c3	c3	PROPN
ejpam-6225	1149	15	}	}	PUNCT
ejpam-6225	1149	16	)	)	PUNCT
ejpam-6225	1149	17	;	;	PUNCT
ejpam-6225	1149	18	∗	∗	NOUN
ejpam-6225	1149	19	−	−	PROPN
ejpam-6225	1149	20	psr	psr	PROPN
ejpam-6225	1149	21	l	l	PROPN
ejpam-6225	1149	22	β1	β1	PROPN
ejpam-6225	1149	23	(	(	PUNCT
ejpam-6225	1149	24	=3	=3	VERB
ejpam-6225	1149	25	)	)	PUNCT
ejpam-6225	1149	26	=	=	SYM
ejpam-6225	1150	1	(	(	PUNCT
ejpam-6225	1150	2	∗	∗	NOUN
ejpam-6225	1150	3	−	−	PROPN
ejpam-6225	1150	4	sr	sr	PROPN
ejpam-6225	1150	5	l	l	PROPN
ejpam-6225	1150	6	β+	β+	PUNCT
ejpam-6225	1150	7	1	1	NUM
ejpam-6225	1150	8	(	(	PUNCT
ejpam-6225	1150	9	=3	=3	PROPN
ejpam-6225	1150	10	)	)	PUNCT
ejpam-6225	1150	11	,	,	PUNCT
ejpam-6225	1150	12	∗	∗	NOUN
ejpam-6225	1150	13	−	−	PROPN
ejpam-6225	1151	1	sr	sr	PROPN
ejpam-6225	1151	2	l	l	NOUN
ejpam-6225	1151	3	β−	β−	PROPN
ejpam-6225	1151	4	1	1	NUM
ejpam-6225	1151	5	(	(	PUNCT
ejpam-6225	1151	6	=3	=3	VERB
ejpam-6225	1151	7	)	)	PUNCT
ejpam-6225	1151	8	)	)	PUNCT
ejpam-6225	1152	1	=	=	PUNCT
ejpam-6225	1152	2	(	(	PUNCT
ejpam-6225	1152	3	{	{	PUNCT
ejpam-6225	1152	4	c2	c2	PROPN
ejpam-6225	1152	5	,	,	PUNCT
ejpam-6225	1152	6	c4	c4	NOUN
ejpam-6225	1152	7	,	,	PUNCT
ejpam-6225	1152	8	c5	c5	PROPN
ejpam-6225	1152	9	}	}	PUNCT
ejpam-6225	1152	10	,	,	PUNCT
ejpam-6225	1152	11	{	{	PUNCT
ejpam-6225	1152	12	c1	c1	NOUN
ejpam-6225	1152	13	,	,	PUNCT
ejpam-6225	1152	14	c3	c3	PROPN
ejpam-6225	1152	15	}	}	PUNCT
ejpam-6225	1152	16	)	)	PUNCT
ejpam-6225	1152	17	.	.	PUNCT
ejpam-6225	1153	1	similarly	similarly	ADV
ejpam-6225	1153	2	,	,	PUNCT
ejpam-6225	1153	3	∗	∗	NOUN
ejpam-6225	1153	4	−	−	PROPN
ejpam-6225	1153	5	psrl	psrl	PROPN
ejpam-6225	1153	6	β2	β2	NOUN
ejpam-6225	1153	7	(=	(=	ADP
ejpam-6225	1153	8	1	1	NUM
ejpam-6225	1153	9	)	)	PUNCT
ejpam-6225	1153	10	=	=	SYM
ejpam-6225	1154	1	(	(	PUNCT
ejpam-6225	1154	2	∗	∗	NOUN
ejpam-6225	1154	3	−	−	PROPN
ejpam-6225	1154	4	srl	srl	PROPN
ejpam-6225	1154	5	β+	β+	SYM
ejpam-6225	1154	6	2	2	NUM
ejpam-6225	1154	7	(=	(=	NOUN
ejpam-6225	1154	8	1	1	NUM
ejpam-6225	1154	9	)	)	PUNCT
ejpam-6225	1154	10	,	,	PUNCT
ejpam-6225	1154	11	∗	∗	NOUN
ejpam-6225	1154	12	−	−	PROPN
ejpam-6225	1154	13	srl	srl	PROPN
ejpam-6225	1154	14	β−	β−	NOUN
ejpam-6225	1154	15	2	2	NUM
ejpam-6225	1154	16	(=	(=	NOUN
ejpam-6225	1154	17	1	1	NUM
ejpam-6225	1154	18	)	)	PUNCT
ejpam-6225	1154	19	)	)	PUNCT
ejpam-6225	1155	1	=	=	SYM
ejpam-6225	1155	2	(	(	PUNCT
ejpam-6225	1155	3	{	{	PUNCT
ejpam-6225	1155	4	c1	c1	NOUN
ejpam-6225	1155	5	,	,	PUNCT
ejpam-6225	1155	6	c2	c2	PROPN
ejpam-6225	1155	7	,	,	PUNCT
ejpam-6225	1155	8	c3	c3	PROPN
ejpam-6225	1155	9	}	}	PUNCT
ejpam-6225	1155	10	,	,	PUNCT
ejpam-6225	1155	11	{	{	PUNCT
ejpam-6225	1155	12	c4	c4	NOUN
ejpam-6225	1155	13	,	,	PUNCT
ejpam-6225	1155	14	c5	c5	PROPN
ejpam-6225	1155	15	}	}	PUNCT
ejpam-6225	1155	16	)	)	PUNCT
ejpam-6225	1155	17	;	;	PUNCT
ejpam-6225	1155	18	∗	∗	NOUN
ejpam-6225	1155	19	−	−	PROPN
ejpam-6225	1155	20	psr	psr	PROPN
ejpam-6225	1155	21	l	l	PROPN
ejpam-6225	1155	22	β2	β2	PROPN
ejpam-6225	1155	23	(=	(=	ADP
ejpam-6225	1155	24	1	1	NUM
ejpam-6225	1155	25	)	)	PUNCT
ejpam-6225	1155	26	=	=	SYM
ejpam-6225	1155	27	(	(	PUNCT
ejpam-6225	1155	28	∗	∗	NOUN
ejpam-6225	1155	29	−	−	PROPN
ejpam-6225	1155	30	sr	sr	PROPN
ejpam-6225	1155	31	l	l	PROPN
ejpam-6225	1155	32	β+	β+	PUNCT
ejpam-6225	1155	33	2	2	NUM
ejpam-6225	1155	34	(=	(=	NOUN
ejpam-6225	1155	35	1	1	NUM
ejpam-6225	1155	36	)	)	PUNCT
ejpam-6225	1155	37	,	,	PUNCT
ejpam-6225	1155	38	∗	∗	NOUN
ejpam-6225	1155	39	−	−	PROPN
ejpam-6225	1156	1	sr	sr	PROPN
ejpam-6225	1156	2	l	l	NOUN
ejpam-6225	1156	3	β−	β−	NOUN
ejpam-6225	1156	4	2	2	NUM
ejpam-6225	1156	5	(=	(=	NOUN
ejpam-6225	1156	6	1	1	NUM
ejpam-6225	1156	7	)	)	PUNCT
ejpam-6225	1156	8	)	)	PUNCT
ejpam-6225	1157	1	=	=	SYM
ejpam-6225	1157	2	(	(	PUNCT
ejpam-6225	1157	3	{	{	PUNCT
ejpam-6225	1157	4	c1	c1	NOUN
ejpam-6225	1157	5	,	,	PUNCT
ejpam-6225	1157	6	c2	c2	PROPN
ejpam-6225	1157	7	,	,	PUNCT
ejpam-6225	1157	8	c3	c3	PROPN
ejpam-6225	1157	9	}	}	PUNCT
ejpam-6225	1157	10	,	,	PUNCT
ejpam-6225	1157	11	{	{	PUNCT
ejpam-6225	1157	12	c4	c4	NOUN
ejpam-6225	1157	13	,	,	PUNCT
ejpam-6225	1157	14	c5	c5	PROPN
ejpam-6225	1157	15	}	}	PUNCT
ejpam-6225	1157	16	)	)	PUNCT
ejpam-6225	1157	17	;	;	PUNCT
ejpam-6225	1157	18	∗	∗	NOUN
ejpam-6225	1157	19	−	−	PROPN
ejpam-6225	1157	20	psrl	psrl	PROPN
ejpam-6225	1157	21	β2	β2	NOUN
ejpam-6225	1157	22	(=	(=	ADP
ejpam-6225	1157	23	2	2	NUM
ejpam-6225	1157	24	)	)	PUNCT
ejpam-6225	1157	25	=	=	SYM
ejpam-6225	1157	26	(	(	PUNCT
ejpam-6225	1157	27	∗	∗	NOUN
ejpam-6225	1157	28	−	−	PROPN
ejpam-6225	1157	29	srl	srl	PROPN
ejpam-6225	1157	30	β+	β+	SYM
ejpam-6225	1157	31	2	2	NUM
ejpam-6225	1157	32	(=	(=	NOUN
ejpam-6225	1157	33	2	2	NUM
ejpam-6225	1157	34	)	)	PUNCT
ejpam-6225	1157	35	,	,	PUNCT
ejpam-6225	1157	36	∗	∗	NOUN
ejpam-6225	1157	37	−	−	PROPN
ejpam-6225	1157	38	srl	srl	PROPN
ejpam-6225	1157	39	β−	β−	NOUN
ejpam-6225	1157	40	2	2	NUM
ejpam-6225	1157	41	(=	(=	NOUN
ejpam-6225	1157	42	2	2	NUM
ejpam-6225	1157	43	)	)	PUNCT
ejpam-6225	1157	44	)	)	PUNCT
ejpam-6225	1158	1	=	=	SYM
ejpam-6225	1158	2	(	(	PUNCT
ejpam-6225	1158	3	{	{	PUNCT
ejpam-6225	1158	4	c1	c1	NOUN
ejpam-6225	1158	5	,	,	PUNCT
ejpam-6225	1158	6	c3	c3	PROPN
ejpam-6225	1158	7	,	,	PUNCT
ejpam-6225	1158	8	c5	c5	PROPN
ejpam-6225	1158	9	}	}	PUNCT
ejpam-6225	1158	10	,	,	PUNCT
ejpam-6225	1158	11	{	{	PUNCT
ejpam-6225	1158	12	c2	c2	PROPN
ejpam-6225	1158	13	,	,	PUNCT
ejpam-6225	1158	14	c3	c3	PROPN
ejpam-6225	1158	15	,	,	PUNCT
ejpam-6225	1158	16	c4	c4	NOUN
ejpam-6225	1158	17	,	,	PUNCT
ejpam-6225	1158	18	c5	c5	PROPN
ejpam-6225	1158	19	}	}	PUNCT
ejpam-6225	1158	20	)	)	PUNCT
ejpam-6225	1158	21	;	;	PUNCT
ejpam-6225	1158	22	∗	∗	NOUN
ejpam-6225	1158	23	−	−	PROPN
ejpam-6225	1158	24	psr	psr	PROPN
ejpam-6225	1158	25	l	l	PROPN
ejpam-6225	1158	26	β2	β2	PROPN
ejpam-6225	1158	27	(=	(=	ADP
ejpam-6225	1158	28	2	2	NUM
ejpam-6225	1158	29	)	)	PUNCT
ejpam-6225	1158	30	=	=	SYM
ejpam-6225	1158	31	(	(	PUNCT
ejpam-6225	1158	32	∗	∗	NOUN
ejpam-6225	1158	33	−	−	PROPN
ejpam-6225	1158	34	sr	sr	PROPN
ejpam-6225	1158	35	l	l	PROPN
ejpam-6225	1158	36	β+	β+	PUNCT
ejpam-6225	1158	37	2	2	NUM
ejpam-6225	1158	38	(=	(=	NOUN
ejpam-6225	1158	39	2	2	NUM
ejpam-6225	1158	40	)	)	PUNCT
ejpam-6225	1158	41	,	,	PUNCT
ejpam-6225	1158	42	∗	∗	NOUN
ejpam-6225	1158	43	−	−	PROPN
ejpam-6225	1159	1	sr	sr	PROPN
ejpam-6225	1159	2	l	l	NOUN
ejpam-6225	1159	3	β−	β−	NOUN
ejpam-6225	1159	4	2	2	NUM
ejpam-6225	1159	5	(=	(=	NOUN
ejpam-6225	1159	6	2	2	NUM
ejpam-6225	1159	7	)	)	PUNCT
ejpam-6225	1159	8	)	)	PUNCT
ejpam-6225	1160	1	=	=	SYM
ejpam-6225	1160	2	(	(	PUNCT
ejpam-6225	1160	3	{	{	PUNCT
ejpam-6225	1160	4	c1	c1	NOUN
ejpam-6225	1160	5	,	,	PUNCT
ejpam-6225	1160	6	c3	c3	PROPN
ejpam-6225	1160	7	,	,	PUNCT
ejpam-6225	1160	8	c5	c5	PROPN
ejpam-6225	1160	9	}	}	PUNCT
ejpam-6225	1160	10	,	,	PUNCT
ejpam-6225	1160	11	{	{	PUNCT
ejpam-6225	1160	12	c2	c2	PROPN
ejpam-6225	1160	13	,	,	PUNCT
ejpam-6225	1160	14	c4	c4	NOUN
ejpam-6225	1160	15	}	}	PUNCT
ejpam-6225	1160	16	)	)	PUNCT
ejpam-6225	1160	17	;	;	PUNCT
ejpam-6225	1160	18	∗	∗	NOUN
ejpam-6225	1160	19	−	−	PROPN
ejpam-6225	1160	20	psrl	psrl	PROPN
ejpam-6225	1160	21	β2	β2	PROPN
ejpam-6225	1160	22	(	(	PUNCT
ejpam-6225	1160	23	=3	=3	PROPN
ejpam-6225	1160	24	)	)	PUNCT
ejpam-6225	1160	25	=	=	SYM
ejpam-6225	1160	26	(	(	PUNCT
ejpam-6225	1160	27	∗	∗	NOUN
ejpam-6225	1160	28	−	−	PROPN
ejpam-6225	1160	29	srl	srl	PROPN
ejpam-6225	1160	30	β+	β+	PUNCT
ejpam-6225	1160	31	2	2	NUM
ejpam-6225	1160	32	(	(	PUNCT
ejpam-6225	1160	33	=3	=3	PROPN
ejpam-6225	1160	34	)	)	PUNCT
ejpam-6225	1160	35	,	,	PUNCT
ejpam-6225	1160	36	∗	∗	NOUN
ejpam-6225	1160	37	−	−	PROPN
ejpam-6225	1160	38	srl	srl	PROPN
ejpam-6225	1160	39	β−	β−	NOUN
ejpam-6225	1160	40	2	2	NUM
ejpam-6225	1160	41	(	(	PUNCT
ejpam-6225	1160	42	=3	=3	VERB
ejpam-6225	1160	43	)	)	PUNCT
ejpam-6225	1160	44	)	)	PUNCT
ejpam-6225	1161	1	=	=	PUNCT
ejpam-6225	1161	2	(	(	PUNCT
ejpam-6225	1161	3	{	{	PUNCT
ejpam-6225	1161	4	c5	c5	PROPN
ejpam-6225	1161	5	}	}	PUNCT
ejpam-6225	1161	6	,	,	PUNCT
ejpam-6225	1161	7	{	{	PUNCT
ejpam-6225	1161	8	c1	c1	NOUN
ejpam-6225	1161	9	,	,	PUNCT
ejpam-6225	1161	10	c3	c3	PROPN
ejpam-6225	1161	11	}	}	PUNCT
ejpam-6225	1161	12	)	)	PUNCT
ejpam-6225	1161	13	;	;	PUNCT
ejpam-6225	1161	14	∗	∗	NOUN
ejpam-6225	1161	15	−	−	PROPN
ejpam-6225	1161	16	psr	psr	PROPN
ejpam-6225	1161	17	l	l	PROPN
ejpam-6225	1161	18	β2	β2	PROPN
ejpam-6225	1161	19	(	(	PUNCT
ejpam-6225	1161	20	=3	=3	PROPN
ejpam-6225	1161	21	)	)	PUNCT
ejpam-6225	1161	22	=	=	SYM
ejpam-6225	1162	1	(	(	PUNCT
ejpam-6225	1162	2	∗	∗	NOUN
ejpam-6225	1162	3	−	−	PROPN
ejpam-6225	1162	4	sr	sr	PROPN
ejpam-6225	1162	5	l	l	PROPN
ejpam-6225	1162	6	β+	β+	PUNCT
ejpam-6225	1162	7	2	2	NUM
ejpam-6225	1162	8	(	(	PUNCT
ejpam-6225	1162	9	=3	=3	PROPN
ejpam-6225	1162	10	)	)	PUNCT
ejpam-6225	1162	11	,	,	PUNCT
ejpam-6225	1162	12	∗	∗	NOUN
ejpam-6225	1162	13	−	−	PROPN
ejpam-6225	1163	1	sr	sr	PROPN
ejpam-6225	1163	2	l	l	NOUN
ejpam-6225	1163	3	β−	β−	NOUN
ejpam-6225	1163	4	2	2	NUM
ejpam-6225	1163	5	(	(	PUNCT
ejpam-6225	1163	6	=3	=3	VERB
ejpam-6225	1163	7	)	)	PUNCT
ejpam-6225	1163	8	)	)	PUNCT
ejpam-6225	1164	1	=	=	PUNCT
ejpam-6225	1164	2	(	(	PUNCT
ejpam-6225	1164	3	{	{	PUNCT
ejpam-6225	1164	4	c2	c2	PROPN
ejpam-6225	1164	5	,	,	PUNCT
ejpam-6225	1164	6	c4	c4	NOUN
ejpam-6225	1164	7	,	,	PUNCT
ejpam-6225	1164	8	c5	c5	PROPN
ejpam-6225	1164	9	}	}	PUNCT
ejpam-6225	1164	10	,	,	PUNCT
ejpam-6225	1164	11	{	{	PUNCT
ejpam-6225	1164	12	c1	c1	NOUN
ejpam-6225	1164	13	}	}	PUNCT
ejpam-6225	1164	14	)	)	PUNCT
ejpam-6225	1164	15	.	.	PUNCT
ejpam-6225	1165	1	step	step	NOUN
ejpam-6225	1165	2	4	4	NUM
ejpam-6225	1165	3	:	:	PUNCT
ejpam-6225	1165	4	according	accord	VERB
ejpam-6225	1165	5	to	to	ADP
ejpam-6225	1165	6	definition	definition	NOUN
ejpam-6225	1165	7	7.1	7.1	NUM
ejpam-6225	1165	8	,	,	PUNCT
ejpam-6225	1165	9	the	the	DET
ejpam-6225	1165	10	∗−ideal	∗−ideal	ADJ
ejpam-6225	1165	11	bipolar	bipolar	ADJ
ejpam-6225	1165	12	soft	soft	ADJ
ejpam-6225	1165	13	lower	lower	ADV
ejpam-6225	1165	14	and	and	CCONJ
ejpam-6225	1165	15	ua	ua	NOUN
ejpam-6225	1165	16	matrices	matrix	NOUN
ejpam-6225	1165	17	can	can	AUX
ejpam-6225	1165	18	be	be	AUX
ejpam-6225	1165	19	calculated	calculate	VERB
ejpam-6225	1165	20	as	as	ADP
ejpam-6225	1165	21	follow	follow	NOUN
ejpam-6225	1165	22	:	:	PUNCT
ejpam-6225	1166	1	[	[	X
ejpam-6225	1166	2	m	m	X
ejpam-6225	1166	3	]	]	X
ejpam-6225	1166	4	=	=	SYM
ejpam-6225	1166	5			PROPN
ejpam-6225	1166	6	[	[	PUNCT
ejpam-6225	1166	7	(	(	PUNCT
ejpam-6225	1166	8	1	1	NUM
ejpam-6225	1166	9	,	,	PUNCT
ejpam-6225	1166	10	1	1	NUM
ejpam-6225	1166	11	,	,	PUNCT
ejpam-6225	1166	12	1	1	NUM
ejpam-6225	1166	13	,	,	PUNCT
ejpam-6225	1166	14	0	0	NUM
ejpam-6225	1166	15	,	,	PUNCT
ejpam-6225	1166	16	0	0	NUM
ejpam-6225	1166	17	)	)	PUNCT
ejpam-6225	1166	18	,	,	PUNCT
ejpam-6225	1166	19	(	(	PUNCT
ejpam-6225	1166	20	0	0	NUM
ejpam-6225	1166	21	,	,	PUNCT
ejpam-6225	1166	22	1	1	NUM
ejpam-6225	1166	23	2	2	NUM
ejpam-6225	1166	24	,	,	PUNCT
ejpam-6225	1166	25	0	0	NUM
ejpam-6225	1166	26	,	,	PUNCT
ejpam-6225	1166	27	1	1	NUM
ejpam-6225	1166	28	2	2	NUM
ejpam-6225	1166	29	,	,	PUNCT
ejpam-6225	1166	30	1	1	NUM
ejpam-6225	1166	31	2	2	NUM
ejpam-6225	1166	32	)	)	PUNCT
ejpam-6225	1166	33	]	]	PUNCT
ejpam-6225	1167	1	[	[	PUNCT
ejpam-6225	1167	2	(	(	PUNCT
ejpam-6225	1167	3	1	1	NUM
ejpam-6225	1167	4	,	,	PUNCT
ejpam-6225	1167	5	0	0	NUM
ejpam-6225	1167	6	,	,	PUNCT
ejpam-6225	1167	7	1	1	NUM
ejpam-6225	1167	8	,	,	PUNCT
ejpam-6225	1167	9	0	0	NUM
ejpam-6225	1167	10	,	,	PUNCT
ejpam-6225	1167	11	1	1	NUM
ejpam-6225	1167	12	)	)	PUNCT
ejpam-6225	1167	13	,	,	PUNCT
ejpam-6225	1167	14	(	(	PUNCT
ejpam-6225	1167	15	0	0	NUM
ejpam-6225	1167	16	,	,	PUNCT
ejpam-6225	1167	17	1	1	NUM
ejpam-6225	1167	18	2	2	NUM
ejpam-6225	1167	19	,	,	PUNCT
ejpam-6225	1167	20	0	0	NUM
ejpam-6225	1167	21	,	,	PUNCT
ejpam-6225	1167	22	1	1	NUM
ejpam-6225	1167	23	2	2	NUM
ejpam-6225	1167	24	,	,	PUNCT
ejpam-6225	1167	25	0	0	NUM
ejpam-6225	1167	26	)	)	PUNCT
ejpam-6225	1167	27	]	]	PUNCT
ejpam-6225	1167	28	[	[	PUNCT
ejpam-6225	1167	29	(	(	PUNCT
ejpam-6225	1167	30	0	0	NUM
ejpam-6225	1167	31	,	,	PUNCT
ejpam-6225	1167	32	1	1	NUM
ejpam-6225	1167	33	,	,	PUNCT
ejpam-6225	1167	34	0	0	NUM
ejpam-6225	1167	35	,	,	PUNCT
ejpam-6225	1167	36	1	1	NUM
ejpam-6225	1167	37	,	,	PUNCT
ejpam-6225	1167	38	1	1	NUM
ejpam-6225	1167	39	)	)	PUNCT
ejpam-6225	1167	40	,	,	PUNCT
ejpam-6225	1167	41	(	(	PUNCT
ejpam-6225	1167	42	1	1	NUM
ejpam-6225	1167	43	2	2	NUM
ejpam-6225	1167	44	,	,	PUNCT
ejpam-6225	1167	45	0	0	NUM
ejpam-6225	1167	46	,	,	PUNCT
ejpam-6225	1167	47	1	1	NUM
ejpam-6225	1167	48	2	2	NUM
ejpam-6225	1167	49	,	,	PUNCT
ejpam-6225	1167	50	0	0	NUM
ejpam-6225	1167	51	,	,	PUNCT
ejpam-6225	1167	52	0	0	NUM
ejpam-6225	1167	53	)	)	PUNCT
ejpam-6225	1167	54	]	]	PUNCT
ejpam-6225	1167	55	[	[	PUNCT
ejpam-6225	1167	56	(	(	PUNCT
ejpam-6225	1167	57	1	1	NUM
ejpam-6225	1167	58	,	,	PUNCT
ejpam-6225	1167	59	1	1	NUM
ejpam-6225	1167	60	,	,	PUNCT
ejpam-6225	1167	61	1	1	NUM
ejpam-6225	1167	62	,	,	PUNCT
ejpam-6225	1167	63	0	0	NUM
ejpam-6225	1167	64	,	,	PUNCT
ejpam-6225	1167	65	0	0	NUM
ejpam-6225	1167	66	)	)	PUNCT
ejpam-6225	1167	67	,	,	PUNCT
ejpam-6225	1167	68	(	(	PUNCT
ejpam-6225	1167	69	0	0	NUM
ejpam-6225	1167	70	,	,	PUNCT
ejpam-6225	1167	71	0	0	NUM
ejpam-6225	1167	72	,	,	PUNCT
ejpam-6225	1167	73	0	0	NUM
ejpam-6225	1167	74	,	,	PUNCT
ejpam-6225	1167	75	1	1	NUM
ejpam-6225	1167	76	2	2	NUM
ejpam-6225	1167	77	,	,	PUNCT
ejpam-6225	1167	78	1	1	NUM
ejpam-6225	1167	79	2	2	NUM
ejpam-6225	1167	80	)	)	PUNCT
ejpam-6225	1167	81	]	]	PUNCT
ejpam-6225	1168	1	[	[	PUNCT
ejpam-6225	1168	2	(	(	PUNCT
ejpam-6225	1168	3	1	1	NUM
ejpam-6225	1168	4	,	,	PUNCT
ejpam-6225	1168	5	0	0	NUM
ejpam-6225	1168	6	,	,	PUNCT
ejpam-6225	1168	7	1	1	NUM
ejpam-6225	1168	8	,	,	PUNCT
ejpam-6225	1168	9	0	0	NUM
ejpam-6225	1168	10	,	,	PUNCT
ejpam-6225	1168	11	1	1	NUM
ejpam-6225	1168	12	)	)	PUNCT
ejpam-6225	1168	13	,	,	PUNCT
ejpam-6225	1168	14	(	(	PUNCT
ejpam-6225	1168	15	0	0	NUM
ejpam-6225	1168	16	,	,	PUNCT
ejpam-6225	1168	17	1	1	NUM
ejpam-6225	1168	18	2	2	NUM
ejpam-6225	1168	19	,	,	PUNCT
ejpam-6225	1168	20	1	1	NUM
ejpam-6225	1168	21	2	2	NUM
ejpam-6225	1168	22	,	,	PUNCT
ejpam-6225	1168	23	1	1	NUM
ejpam-6225	1168	24	2	2	NUM
ejpam-6225	1168	25	,	,	PUNCT
ejpam-6225	1168	26	1	1	NUM
ejpam-6225	1168	27	2	2	NUM
ejpam-6225	1168	28	)	)	PUNCT
ejpam-6225	1168	29	]	]	PUNCT
ejpam-6225	1168	30	[	[	PUNCT
ejpam-6225	1168	31	(	(	PUNCT
ejpam-6225	1168	32	0	0	NUM
ejpam-6225	1168	33	,	,	PUNCT
ejpam-6225	1168	34	0	0	NUM
ejpam-6225	1168	35	,	,	PUNCT
ejpam-6225	1168	36	0	0	NUM
ejpam-6225	1168	37	,	,	PUNCT
ejpam-6225	1168	38	0	0	NUM
ejpam-6225	1168	39	,	,	PUNCT
ejpam-6225	1168	40	1	1	NUM
ejpam-6225	1168	41	)	)	PUNCT
ejpam-6225	1168	42	,	,	PUNCT
ejpam-6225	1168	43	(	(	PUNCT
ejpam-6225	1168	44	1	1	NUM
ejpam-6225	1168	45	2	2	NUM
ejpam-6225	1168	46	,	,	PUNCT
ejpam-6225	1168	47	0	0	NUM
ejpam-6225	1168	48	,	,	PUNCT
ejpam-6225	1168	49	1	1	NUM
ejpam-6225	1168	50	2	2	NUM
ejpam-6225	1168	51	,	,	PUNCT
ejpam-6225	1168	52	0	0	NUM
ejpam-6225	1168	53	,	,	PUNCT
ejpam-6225	1168	54	0	0	NUM
ejpam-6225	1168	55	)	)	PUNCT
ejpam-6225	1168	56	]	]	PUNCT
ejpam-6225	1168	57			PROPN
ejpam-6225	1168	58	;	;	PUNCT
ejpam-6225	1168	59	[	[	PUNCT
ejpam-6225	1168	60	m	m	X
ejpam-6225	1168	61	]	]	X
ejpam-6225	1168	62	=	=	PUNCT
ejpam-6225	1169	1			PROPN
ejpam-6225	1169	2	[	[	X
ejpam-6225	1169	3	(	(	PUNCT
ejpam-6225	1169	4	1	1	NUM
ejpam-6225	1169	5	2	2	NUM
ejpam-6225	1169	6	,	,	PUNCT
ejpam-6225	1169	7	1	1	NUM
ejpam-6225	1169	8	2	2	NUM
ejpam-6225	1169	9	,	,	PUNCT
ejpam-6225	1169	10	1	1	NUM
ejpam-6225	1169	11	2	2	NUM
ejpam-6225	1169	12	,	,	PUNCT
ejpam-6225	1169	13	1	1	NUM
ejpam-6225	1169	14	2	2	NUM
ejpam-6225	1169	15	,	,	PUNCT
ejpam-6225	1169	16	0	0	NUM
ejpam-6225	1169	17	)	)	PUNCT
ejpam-6225	1169	18	,	,	PUNCT
ejpam-6225	1169	19	(	(	PUNCT
ejpam-6225	1169	20	0	0	NUM
ejpam-6225	1169	21	,	,	PUNCT
ejpam-6225	1169	22	0	0	NUM
ejpam-6225	1169	23	,	,	PUNCT
ejpam-6225	1169	24	0	0	NUM
ejpam-6225	1169	25	,	,	PUNCT
ejpam-6225	1169	26	0	0	NUM
ejpam-6225	1169	27	,	,	PUNCT
ejpam-6225	1169	28	1	1	NUM
ejpam-6225	1169	29	)	)	PUNCT
ejpam-6225	1169	30	]	]	PUNCT
ejpam-6225	1170	1	[	[	X
ejpam-6225	1170	2	(	(	PUNCT
ejpam-6225	1170	3	1	1	NUM
ejpam-6225	1170	4	2	2	NUM
ejpam-6225	1170	5	,	,	PUNCT
ejpam-6225	1170	6	0	0	NUM
ejpam-6225	1170	7	,	,	PUNCT
ejpam-6225	1170	8	1	1	NUM
ejpam-6225	1170	9	2	2	NUM
ejpam-6225	1170	10	,	,	PUNCT
ejpam-6225	1170	11	1	1	NUM
ejpam-6225	1170	12	2	2	NUM
ejpam-6225	1170	13	,	,	PUNCT
ejpam-6225	1170	14	1	1	NUM
ejpam-6225	1170	15	2	2	NUM
ejpam-6225	1170	16	)	)	PUNCT
ejpam-6225	1170	17	,	,	PUNCT
ejpam-6225	1170	18	(	(	PUNCT
ejpam-6225	1170	19	0	0	NUM
ejpam-6225	1170	20	,	,	PUNCT
ejpam-6225	1170	21	1	1	NUM
ejpam-6225	1170	22	,	,	PUNCT
ejpam-6225	1170	23	0	0	NUM
ejpam-6225	1170	24	,	,	PUNCT
ejpam-6225	1170	25	1	1	NUM
ejpam-6225	1170	26	,	,	PUNCT
ejpam-6225	1170	27	0	0	NUM
ejpam-6225	1170	28	)	)	PUNCT
ejpam-6225	1170	29	]	]	PUNCT
ejpam-6225	1171	1	[	[	X
ejpam-6225	1171	2	(	(	PUNCT
ejpam-6225	1171	3	0	0	NUM
ejpam-6225	1171	4	,	,	PUNCT
ejpam-6225	1171	5	1	1	NUM
ejpam-6225	1171	6	2	2	NUM
ejpam-6225	1171	7	,	,	PUNCT
ejpam-6225	1171	8	0	0	NUM
ejpam-6225	1171	9	,	,	PUNCT
ejpam-6225	1171	10	1	1	NUM
ejpam-6225	1171	11	2	2	NUM
ejpam-6225	1171	12	,	,	PUNCT
ejpam-6225	1171	13	1	1	NUM
ejpam-6225	1171	14	2	2	NUM
ejpam-6225	1171	15	)	)	PUNCT
ejpam-6225	1171	16	,	,	PUNCT
ejpam-6225	1171	17	(	(	PUNCT
ejpam-6225	1171	18	1	1	NUM
ejpam-6225	1171	19	,	,	PUNCT
ejpam-6225	1171	20	0	0	NUM
ejpam-6225	1171	21	,	,	PUNCT
ejpam-6225	1171	22	1	1	NUM
ejpam-6225	1171	23	,	,	PUNCT
ejpam-6225	1171	24	0	0	NUM
ejpam-6225	1171	25	,	,	PUNCT
ejpam-6225	1171	26	0	0	NUM
ejpam-6225	1171	27	)	)	PUNCT
ejpam-6225	1171	28	]	]	PUNCT
ejpam-6225	1172	1	[	[	X
ejpam-6225	1172	2	(	(	PUNCT
ejpam-6225	1172	3	1	1	NUM
ejpam-6225	1172	4	2	2	NUM
ejpam-6225	1172	5	,	,	PUNCT
ejpam-6225	1172	6	1	1	NUM
ejpam-6225	1172	7	2	2	NUM
ejpam-6225	1172	8	,	,	PUNCT
ejpam-6225	1172	9	1	1	NUM
ejpam-6225	1172	10	2	2	NUM
ejpam-6225	1172	11	,	,	PUNCT
ejpam-6225	1172	12	0	0	NUM
ejpam-6225	1172	13	,	,	PUNCT
ejpam-6225	1172	14	0	0	NUM
ejpam-6225	1172	15	)	)	PUNCT
ejpam-6225	1172	16	,	,	PUNCT
ejpam-6225	1172	17	(	(	PUNCT
ejpam-6225	1172	18	0	0	NUM
ejpam-6225	1172	19	,	,	PUNCT
ejpam-6225	1172	20	0	0	NUM
ejpam-6225	1172	21	,	,	PUNCT
ejpam-6225	1172	22	0	0	NUM
ejpam-6225	1172	23	,	,	PUNCT
ejpam-6225	1172	24	1	1	NUM
ejpam-6225	1172	25	,	,	PUNCT
ejpam-6225	1172	26	1	1	NUM
ejpam-6225	1172	27	)	)	PUNCT
ejpam-6225	1172	28	]	]	PUNCT
ejpam-6225	1173	1	[	[	X
ejpam-6225	1173	2	(	(	PUNCT
ejpam-6225	1173	3	1	1	NUM
ejpam-6225	1173	4	2	2	NUM
ejpam-6225	1173	5	,	,	PUNCT
ejpam-6225	1173	6	0	0	NUM
ejpam-6225	1173	7	,	,	PUNCT
ejpam-6225	1173	8	1	1	NUM
ejpam-6225	1173	9	2	2	NUM
ejpam-6225	1173	10	,	,	PUNCT
ejpam-6225	1173	11	0	0	NUM
ejpam-6225	1173	12	,	,	PUNCT
ejpam-6225	1173	13	1	1	NUM
ejpam-6225	1173	14	2	2	NUM
ejpam-6225	1173	15	)	)	PUNCT
ejpam-6225	1173	16	,	,	PUNCT
ejpam-6225	1173	17	(	(	PUNCT
ejpam-6225	1173	18	0	0	NUM
ejpam-6225	1173	19	,	,	PUNCT
ejpam-6225	1173	20	1	1	NUM
ejpam-6225	1173	21	,	,	PUNCT
ejpam-6225	1173	22	0	0	NUM
ejpam-6225	1173	23	,	,	PUNCT
ejpam-6225	1173	24	1	1	NUM
ejpam-6225	1173	25	,	,	PUNCT
ejpam-6225	1173	26	0	0	NUM
ejpam-6225	1173	27	)	)	PUNCT
ejpam-6225	1173	28	]	]	PUNCT
ejpam-6225	1174	1	[	[	X
ejpam-6225	1174	2	(	(	PUNCT
ejpam-6225	1174	3	0	0	NUM
ejpam-6225	1174	4	,	,	PUNCT
ejpam-6225	1174	5	1	1	NUM
ejpam-6225	1174	6	2	2	NUM
ejpam-6225	1174	7	,	,	PUNCT
ejpam-6225	1174	8	0	0	NUM
ejpam-6225	1174	9	,	,	PUNCT
ejpam-6225	1174	10	1	1	NUM
ejpam-6225	1174	11	2	2	NUM
ejpam-6225	1174	12	,	,	PUNCT
ejpam-6225	1174	13	1	1	NUM
ejpam-6225	1174	14	2	2	NUM
ejpam-6225	1174	15	)	)	PUNCT
ejpam-6225	1174	16	,	,	PUNCT
ejpam-6225	1174	17	(	(	PUNCT
ejpam-6225	1174	18	1	1	NUM
ejpam-6225	1174	19	,	,	PUNCT
ejpam-6225	1174	20	0	0	NUM
ejpam-6225	1174	21	,	,	PUNCT
ejpam-6225	1174	22	0	0	NUM
ejpam-6225	1174	23	,	,	PUNCT
ejpam-6225	1174	24	0	0	NUM
ejpam-6225	1174	25	,	,	PUNCT
ejpam-6225	1174	26	0	0	NUM
ejpam-6225	1174	27	)	)	PUNCT
ejpam-6225	1174	28	]	]	X
ejpam-6225	1175	1			PROPN
ejpam-6225	1175	2	.	.	PUNCT
ejpam-6225	1176	1	step	step	NOUN
ejpam-6225	1176	2	5	5	NUM
ejpam-6225	1176	3	:	:	PUNCT
ejpam-6225	1176	4	by	by	ADP
ejpam-6225	1176	5	definition	definition	NOUN
ejpam-6225	1176	6	7.2	7.2	NUM
ejpam-6225	1176	7	,	,	PUNCT
ejpam-6225	1176	8	vf	vf	X
ejpam-6225	1176	9	and	and	CCONJ
ejpam-6225	1176	10	vg	vg	NOUN
ejpam-6225	1176	11	can	can	AUX
ejpam-6225	1176	12	be	be	AUX
ejpam-6225	1176	13	calculated	calculate	VERB
ejpam-6225	1176	14	as	as	ADP
ejpam-6225	1176	15	follow	follow	NOUN
ejpam-6225	1176	16	:	:	PUNCT
ejpam-6225	1177	1	vf	vf	X
ejpam-6225	1177	2	=	=	SYM
ejpam-6225	1177	3	3⊕	3⊕	NUM
ejpam-6225	1177	4	j=1	j=1	NOUN
ejpam-6225	1177	5	2⊕	2⊕	NUM
ejpam-6225	1177	6	q=1	q=1	X
ejpam-6225	1177	7	(	(	PUNCT
ejpam-6225	1177	8	∗	∗	NOUN
ejpam-6225	1177	9	−	−	PROPN
ejpam-6225	1177	10	srl	srl	PROPN
ejpam-6225	1177	11	β+	β+	PUNCT
ejpam-6225	1177	12	q	q	PROPN
ejpam-6225	1177	13	(=	(=	X
ejpam-6225	1177	14	j	j	X
ejpam-6225	1177	15	)	)	PUNCT
ejpam-6225	1177	16	⊕	⊕	PROPN
ejpam-6225	1177	17	∗	∗	VERB
ejpam-6225	1177	18	−	−	PROPN
ejpam-6225	1178	1	sr	sr	PROPN
ejpam-6225	1179	1	l	l	PROPN
ejpam-6225	1179	2	β+	β+	PUNCT
ejpam-6225	1179	3	q	q	PROPN
ejpam-6225	1179	4	(=	(=	X
ejpam-6225	1179	5	j	j	NOUN
ejpam-6225	1179	6	)	)	PUNCT
ejpam-6225	1179	7	)	)	PUNCT
ejpam-6225	1180	1	=	=	PUNCT
ejpam-6225	1180	2	(	(	PUNCT
ejpam-6225	1180	3	6	6	NUM
ejpam-6225	1180	4	,	,	PUNCT
ejpam-6225	1180	5	5	5	NUM
ejpam-6225	1180	6	,	,	PUNCT
ejpam-6225	1180	7	6	6	NUM
ejpam-6225	1180	8	,	,	PUNCT
ejpam-6225	1180	9	3	3	NUM
ejpam-6225	1180	10	,	,	PUNCT
ejpam-6225	1180	11	6	6	NUM
ejpam-6225	1180	12	)	)	PUNCT
ejpam-6225	1180	13	,	,	PUNCT
ejpam-6225	1180	14	vg	vg	NOUN
ejpam-6225	1180	15	=	=	SYM
ejpam-6225	1180	16	3⊕	3⊕	NUM
ejpam-6225	1180	17	j=1	j=1	NOUN
ejpam-6225	1180	18	2⊕	2⊕	NUM
ejpam-6225	1180	19	q=1	q=1	X
ejpam-6225	1180	20	(	(	PUNCT
ejpam-6225	1180	21	∗	∗	NOUN
ejpam-6225	1180	22	−	−	PROPN
ejpam-6225	1180	23	srl	srl	PROPN
ejpam-6225	1180	24	β−	β−	NOUN
ejpam-6225	1180	25	q	q	NOUN
ejpam-6225	1180	26	(=	(=	X
ejpam-6225	1180	27	j	j	X
ejpam-6225	1180	28	)	)	PUNCT
ejpam-6225	1180	29	⊕	⊕	PROPN
ejpam-6225	1180	30	∗	∗	VERB
ejpam-6225	1180	31	−	−	PROPN
ejpam-6225	1181	1	sr	sr	PROPN
ejpam-6225	1181	2	l	l	NOUN
ejpam-6225	1181	3	β−	β−	PROPN
ejpam-6225	1181	4	q	q	X
ejpam-6225	1181	5	(=	(=	X
ejpam-6225	1181	6	j	j	NOUN
ejpam-6225	1181	7	)	)	PUNCT
ejpam-6225	1181	8	)	)	PUNCT
ejpam-6225	1182	1	=	=	PUNCT
ejpam-6225	1182	2	(	(	PUNCT
ejpam-6225	1182	3	3	3	NUM
ejpam-6225	1182	4	,	,	PUNCT
ejpam-6225	1182	5	3.5	3.5	NUM
ejpam-6225	1182	6	,	,	PUNCT
ejpam-6225	1182	7	2.5	2.5	NUM
ejpam-6225	1182	8	,	,	PUNCT
ejpam-6225	1182	9	5	5	NUM
ejpam-6225	1182	10	,	,	PUNCT
ejpam-6225	1182	11	3.5	3.5	NUM
ejpam-6225	1182	12	)	)	PUNCT
ejpam-6225	1182	13	.	.	PUNCT
ejpam-6225	1183	1	step	step	NOUN
ejpam-6225	1183	2	6	6	NUM
ejpam-6225	1183	3	:	:	PUNCT
ejpam-6225	1183	4	by	by	ADP
ejpam-6225	1183	5	definition	definition	NOUN
ejpam-6225	1183	6	7.3	7.3	NUM
ejpam-6225	1183	7	,	,	PUNCT
ejpam-6225	1183	8	we	we	PRON
ejpam-6225	1183	9	get	get	VERB
ejpam-6225	1183	10	vd	vd	NOUN
ejpam-6225	1183	11	=	=	SYM
ejpam-6225	1183	12	vf	vf	X
ejpam-6225	1183	13	−	−	PROPN
ejpam-6225	1183	14	vg	vg	NOUN
ejpam-6225	1184	1	=	=	SYM
ejpam-6225	1184	2	(	(	PUNCT
ejpam-6225	1184	3	3	3	NUM
ejpam-6225	1184	4	,	,	PUNCT
ejpam-6225	1184	5	1.5	1.5	NUM
ejpam-6225	1184	6	,	,	PUNCT
ejpam-6225	1184	7	3.5	3.5	NUM
ejpam-6225	1184	8	,	,	PUNCT
ejpam-6225	1184	9	−2.5	−2.5	PROPN
ejpam-6225	1184	10	,	,	PUNCT
ejpam-6225	1184	11	2.5	2.5	NUM
ejpam-6225	1184	12	)	)	PUNCT
ejpam-6225	1184	13	)	)	PUNCT
ejpam-6225	1184	14	.	.	PUNCT
ejpam-6225	1185	1	step	step	NOUN
ejpam-6225	1185	2	7	7	NUM
ejpam-6225	1185	3	:	:	PUNCT
ejpam-6225	1185	4	as	as	ADP
ejpam-6225	1185	5	i≤5≥1ג	i≤5≥1ג	ADV
ejpam-6225	1185	6	δi	δi	PROPN
ejpam-6225	1185	7	=	=	SYM
ejpam-6225	1185	8	c3	c3	NOUN
ejpam-6225	1185	9	=	=	PROPN
ejpam-6225	1185	10	3.5	3.5	NUM
ejpam-6225	1185	11	.	.	PUNCT
ejpam-6225	1186	1	therefore	therefore	ADV
ejpam-6225	1186	2	,	,	PUNCT
ejpam-6225	1186	3	c3	c3	PROPN
ejpam-6225	1186	4	is	be	AUX
ejpam-6225	1186	5	the	the	DET
ejpam-6225	1186	6	best	good	ADJ
ejpam-6225	1186	7	member	member	NOUN
ejpam-6225	1186	8	for	for	ADP
ejpam-6225	1186	9	that	that	DET
ejpam-6225	1186	10	position	position	NOUN
ejpam-6225	1186	11	of	of	ADP
ejpam-6225	1186	12	a	a	DET
ejpam-6225	1186	13	senior	senior	ADJ
ejpam-6225	1186	14	faculty	faculty	NOUN
ejpam-6225	1186	15	.	.	PUNCT
ejpam-6225	1187	1	accordingly	accordingly	ADV
ejpam-6225	1187	2	,	,	PUNCT
ejpam-6225	1187	3	we	we	PRON
ejpam-6225	1187	4	get	get	VERB
ejpam-6225	1187	5	the	the	DET
ejpam-6225	1187	6	inclination	inclination	NOUN
ejpam-6225	1187	7	arrange	arrange	NOUN
ejpam-6225	1187	8	of	of	ADP
ejpam-6225	1187	9	those	those	DET
ejpam-6225	1187	10	five	five	NUM
ejpam-6225	1187	11	candidates	candidate	NOUN
ejpam-6225	1187	12	are	be	AUX
ejpam-6225	1187	13	as	as	SCONJ
ejpam-6225	1187	14	follows	follow	VERB
ejpam-6225	1187	15	:	:	PUNCT
ejpam-6225	1187	16	c3	c3	PROPN
ejpam-6225	1187	17	>	>	X
ejpam-6225	1187	18	c1	c1	PROPN
ejpam-6225	1187	19	>	>	PUNCT
ejpam-6225	1188	1	c5	c5	PROPN
ejpam-6225	1188	2	>	>	X
ejpam-6225	1188	3	c2	c2	PROPN
ejpam-6225	1188	4	>	>	X
ejpam-6225	1188	5	c4	c4	PROPN
ejpam-6225	1188	6	.	.	PUNCT
ejpam-6225	1189	1	a	a	DET
ejpam-6225	1189	2	graphical	graphical	ADJ
ejpam-6225	1189	3	representation	representation	NOUN
ejpam-6225	1189	4	of	of	ADP
ejpam-6225	1189	5	the	the	DET
ejpam-6225	1189	6	candidate	candidate	NOUN
ejpam-6225	1189	7	inclination	inclination	NOUN
ejpam-6225	1189	8	arrange	arrange	NOUN
ejpam-6225	1189	9	is	be	AUX
ejpam-6225	1189	10	appeared	appear	VERB
ejpam-6225	1189	11	in	in	ADP
ejpam-6225	1189	12	figure	figure	NOUN
ejpam-6225	1189	13	2	2	NUM
ejpam-6225	1189	14	.	.	PUNCT
ejpam-6225	1189	15	d.	d.	PROPN
ejpam-6225	1189	16	shi	shi	PROPN
ejpam-6225	1189	17	et	et	PROPN
ejpam-6225	1189	18	al	al	PROPN
ejpam-6225	1189	19	.	.	PUNCT
ejpam-6225	1189	20	/	/	SYM
ejpam-6225	1189	21	eur	eur	PROPN
ejpam-6225	1189	22	.	.	PUNCT
ejpam-6225	1190	1	j.	j.	PROPN
ejpam-6225	1190	2	pure	pure	PROPN
ejpam-6225	1190	3	appl	appl	PROPN
ejpam-6225	1190	4	.	.	PROPN
ejpam-6225	1190	5	math	math	PROPN
ejpam-6225	1190	6	,	,	PUNCT
ejpam-6225	1190	7	18	18	NUM
ejpam-6225	1190	8	(	(	PUNCT
ejpam-6225	1190	9	4	4	NUM
ejpam-6225	1190	10	)	)	PUNCT
ejpam-6225	1190	11	(	(	PUNCT
ejpam-6225	1190	12	2025	2025	NUM
ejpam-6225	1190	13	)	)	PUNCT
ejpam-6225	1190	14	,	,	PUNCT
ejpam-6225	1190	15	6225	6225	NUM
ejpam-6225	1190	16	32	32	NUM
ejpam-6225	1190	17	of	of	ADP
ejpam-6225	1190	18	36	36	NUM
ejpam-6225	1190	19	figure	figure	NOUN
ejpam-6225	1190	20	2	2	NUM
ejpam-6225	1190	21	:	:	PUNCT
ejpam-6225	1190	22	preference	preference	NOUN
ejpam-6225	1190	23	order	order	NOUN
ejpam-6225	1190	24	of	of	ADP
ejpam-6225	1190	25	the	the	DET
ejpam-6225	1190	26	candidates	candidate	NOUN
ejpam-6225	1190	27	in	in	ADP
ejpam-6225	1190	28	example	example	NOUN
ejpam-6225	1190	29	7.1	7.1	NUM
ejpam-6225	1190	30	8	8	NUM
ejpam-6225	1190	31	.	.	PUNCT
ejpam-6225	1191	1	analytic	analytic	ADJ
ejpam-6225	1191	2	comparison	comparison	NOUN
ejpam-6225	1191	3	8.1	8.1	NUM
ejpam-6225	1191	4	.	.	PUNCT
ejpam-6225	1192	1	the	the	DET
ejpam-6225	1192	2	value	value	NOUN
ejpam-6225	1192	3	of	of	ADP
ejpam-6225	1192	4	the	the	DET
ejpam-6225	1192	5	proposed	propose	VERB
ejpam-6225	1192	6	technique	technique	NOUN
ejpam-6225	1192	7	the	the	DET
ejpam-6225	1192	8	advantages	advantage	NOUN
ejpam-6225	1192	9	of	of	ADP
ejpam-6225	1192	10	the	the	DET
ejpam-6225	1192	11	proposed	propose	VERB
ejpam-6225	1192	12	method	method	NOUN
ejpam-6225	1192	13	upper	upper	ADV
ejpam-6225	1192	14	the	the	DET
ejpam-6225	1192	15	existing	exist	VERB
ejpam-6225	1192	16	strategies	strategy	NOUN
ejpam-6225	1192	17	are	be	AUX
ejpam-6225	1192	18	explained	explain	VERB
ejpam-6225	1192	19	down	down	ADP
ejpam-6225	1192	20	.	.	PUNCT
ejpam-6225	1193	1	(	(	PUNCT
ejpam-6225	1193	2	1	1	X
ejpam-6225	1193	3	)	)	PUNCT
ejpam-6225	1193	4	the	the	DET
ejpam-6225	1193	5	proposed	propose	VERB
ejpam-6225	1193	6	strategy	strategy	NOUN
ejpam-6225	1193	7	considers	consider	VERB
ejpam-6225	1193	8	positive	positive	ADJ
ejpam-6225	1193	9	and	and	CCONJ
ejpam-6225	1193	10	negative	negative	ADJ
ejpam-6225	1193	11	viewpoints	viewpoint	NOUN
ejpam-6225	1193	12	of	of	ADP
ejpam-6225	1193	13	each	each	DET
ejpam-6225	1193	14	elective	elective	NOUN
ejpam-6225	1193	15	within	within	ADP
ejpam-6225	1193	16	the	the	DET
ejpam-6225	1193	17	shape	shape	NOUN
ejpam-6225	1193	18	of	of	ADP
ejpam-6225	1193	19	bipolar	bipolar	ADJ
ejpam-6225	1193	20	soft	soft	ADJ
ejpam-6225	1193	21	set	set	NOUN
ejpam-6225	1193	22	.	.	PUNCT
ejpam-6225	1194	1	this	this	DET
ejpam-6225	1194	2	crossover	crossover	NOUN
ejpam-6225	1194	3	demonstrate	demonstrate	NOUN
ejpam-6225	1194	4	is	be	AUX
ejpam-6225	1194	5	more	more	ADV
ejpam-6225	1194	6	generalized	generalized	ADJ
ejpam-6225	1194	7	and	and	CCONJ
ejpam-6225	1194	8	appropriate	appropriate	ADJ
ejpam-6225	1194	9	for	for	ADP
ejpam-6225	1194	10	managing	manage	VERB
ejpam-6225	1194	11	with	with	ADP
ejpam-6225	1194	12	aggressive	aggressive	ADJ
ejpam-6225	1194	13	dm	dm	NOUN
ejpam-6225	1194	14	.	.	PUNCT
ejpam-6225	1195	1	(	(	PUNCT
ejpam-6225	1195	2	2	2	X
ejpam-6225	1195	3	)	)	PUNCT
ejpam-6225	1195	4	utilizing	utilize	VERB
ejpam-6225	1195	5	the	the	DET
ejpam-6225	1195	6	∗−ideal	∗−ideal	ADJ
ejpam-6225	1195	7	bipolar	bipolar	ADJ
ejpam-6225	1195	8	soft	soft	ADJ
ejpam-6225	1195	9	lower	low	ADJ
ejpam-6225	1195	10	and	and	CCONJ
ejpam-6225	1195	11	uas	uas	PROPN
ejpam-6225	1195	12	,	,	PUNCT
ejpam-6225	1195	13	this	this	DET
ejpam-6225	1195	14	approach	approach	NOUN
ejpam-6225	1195	15	gives	give	VERB
ejpam-6225	1195	16	another	another	DET
ejpam-6225	1195	17	way	way	NOUN
ejpam-6225	1195	18	to	to	PART
ejpam-6225	1195	19	get	get	VERB
ejpam-6225	1195	20	the	the	DET
ejpam-6225	1195	21	bunch	bunch	ADJ
ejpam-6225	1195	22	inclination	inclination	NOUN
ejpam-6225	1195	23	assessment	assessment	NOUN
ejpam-6225	1195	24	based	base	VERB
ejpam-6225	1195	25	on	on	ADP
ejpam-6225	1195	26	the	the	DET
ejpam-6225	1195	27	person	person	NOUN
ejpam-6225	1195	28	inclination	inclination	NOUN
ejpam-6225	1195	29	assessment	assessment	NOUN
ejpam-6225	1195	30	for	for	ADP
ejpam-6225	1195	31	a	a	DET
ejpam-6225	1195	32	considered	consider	VERB
ejpam-6225	1195	33	magdm	magdm	NOUN
ejpam-6225	1195	34	issue	issue	NOUN
ejpam-6225	1195	35	.	.	PUNCT
ejpam-6225	1196	1	(	(	PUNCT
ejpam-6225	1196	2	3	3	X
ejpam-6225	1196	3	)	)	PUNCT
ejpam-6225	1196	4	our	our	PRON
ejpam-6225	1196	5	proposed	propose	VERB
ejpam-6225	1196	6	strategy	strategy	NOUN
ejpam-6225	1196	7	successfully	successfully	ADV
ejpam-6225	1196	8	solves	solve	VERB
ejpam-6225	1196	9	magdm	magdm	NOUN
ejpam-6225	1196	10	issues	issue	NOUN
ejpam-6225	1196	11	when	when	SCONJ
ejpam-6225	1196	12	the	the	DET
ejpam-6225	1196	13	weight	weight	NOUN
ejpam-6225	1196	14	data	datum	NOUN
ejpam-6225	1196	15	for	for	ADP
ejpam-6225	1196	16	the	the	DET
ejpam-6225	1196	17	attribute	attribute	NOUN
ejpam-6225	1196	18	is	be	AUX
ejpam-6225	1196	19	totally	totally	ADV
ejpam-6225	1196	20	obscure	obscure	ADJ
ejpam-6225	1196	21	.	.	PUNCT
ejpam-6225	1197	1	(	(	PUNCT
ejpam-6225	1197	2	4	4	X
ejpam-6225	1197	3	)	)	PUNCT
ejpam-6225	1197	4	the	the	DET
ejpam-6225	1197	5	proposed	propose	VERB
ejpam-6225	1197	6	approach	approach	NOUN
ejpam-6225	1197	7	considers	consider	VERB
ejpam-6225	1197	8	not	not	PART
ejpam-6225	1197	9	as	as	SCONJ
ejpam-6225	1197	10	it	it	PRON
ejpam-6225	1197	11	were	be	AUX
ejpam-6225	1197	12	the	the	DET
ejpam-6225	1197	13	point	point	NOUN
ejpam-6225	1197	14	of	of	ADP
ejpam-6225	1197	15	views	view	NOUN
ejpam-6225	1197	16	of	of	ADP
ejpam-6225	1197	17	dms	dms	NOUN
ejpam-6225	1197	18	but	but	CCONJ
ejpam-6225	1197	19	too	too	ADV
ejpam-6225	1197	20	past	past	ADJ
ejpam-6225	1197	21	encounters	encounter	NOUN
ejpam-6225	1197	22	(	(	PUNCT
ejpam-6225	1197	23	essential	essential	ADJ
ejpam-6225	1197	24	assessments	assessment	NOUN
ejpam-6225	1197	25	)	)	PUNCT
ejpam-6225	1197	26	by	by	ADP
ejpam-6225	1197	27	∗−ideal	∗−ideal	NUM
ejpam-6225	1197	28	bipolar	bipolar	ADJ
ejpam-6225	1197	29	soft	soft	ADJ
ejpam-6225	1197	30	lower	lower	ADV
ejpam-6225	1197	31	and	and	CCONJ
ejpam-6225	1197	32	uas	uas	NOUN
ejpam-6225	1197	33	in	in	ADP
ejpam-6225	1197	34	genuine	genuine	ADJ
ejpam-6225	1197	35	scenarios	scenario	NOUN
ejpam-6225	1197	36	.	.	PUNCT
ejpam-6225	1198	1	in	in	ADP
ejpam-6225	1198	2	this	this	DET
ejpam-6225	1198	3	manner	manner	NOUN
ejpam-6225	1198	4	,	,	PUNCT
ejpam-6225	1198	5	it	it	PRON
ejpam-6225	1198	6	may	may	AUX
ejpam-6225	1198	7	be	be	AUX
ejpam-6225	1198	8	a	a	DET
ejpam-6225	1198	9	more	more	ADV
ejpam-6225	1198	10	comprehensive	comprehensive	ADJ
ejpam-6225	1198	11	approach	approach	NOUN
ejpam-6225	1198	12	for	for	ADP
ejpam-6225	1198	13	a	a	DET
ejpam-6225	1198	14	higher	high	ADJ
ejpam-6225	1198	15	translation	translation	NOUN
ejpam-6225	1198	16	of	of	ADP
ejpam-6225	1198	17	accessible	accessible	ADJ
ejpam-6225	1198	18	data	datum	NOUN
ejpam-6225	1198	19	and	and	CCONJ
ejpam-6225	1198	20	hence	hence	ADV
ejpam-6225	1198	21	makes	make	VERB
ejpam-6225	1198	22	choices	choice	NOUN
ejpam-6225	1198	23	utilizing	utilize	VERB
ejpam-6225	1198	24	artificial	artificial	ADJ
ejpam-6225	1198	25	intelligence	intelligence	NOUN
ejpam-6225	1198	26	.	.	PUNCT
ejpam-6225	1199	1	(	(	PUNCT
ejpam-6225	1199	2	5	5	NUM
ejpam-6225	1199	3	)	)	PUNCT
ejpam-6225	1199	4	in	in	ADP
ejpam-6225	1199	5	the	the	DET
ejpam-6225	1199	6	event	event	NOUN
ejpam-6225	1199	7	that	that	PRON
ejpam-6225	1199	8	we	we	PRON
ejpam-6225	1199	9	compare	compare	VERB
ejpam-6225	1199	10	our	our	PRON
ejpam-6225	1199	11	proposed	propose	VERB
ejpam-6225	1199	12	strategy	strategy	NOUN
ejpam-6225	1199	13	with	with	ADP
ejpam-6225	1199	14	strategies	strategy	NOUN
ejpam-6225	1199	15	displayed	display	VERB
ejpam-6225	1199	16	in	in	ADP
ejpam-6225	1199	17	[	[	NOUN
ejpam-6225	1199	18	13	13	NUM
ejpam-6225	1199	19	,	,	PUNCT
ejpam-6225	1199	20	38	38	NUM
ejpam-6225	1199	21	–	–	PUNCT
ejpam-6225	1199	22	40	40	NUM
ejpam-6225	1199	23	]	]	PUNCT
ejpam-6225	1199	24	,	,	PUNCT
ejpam-6225	1199	25	we	we	PRON
ejpam-6225	1199	26	understand	understand	VERB
ejpam-6225	1199	27	that	that	SCONJ
ejpam-6225	1199	28	those	those	DET
ejpam-6225	1199	29	strategies	strategy	NOUN
ejpam-6225	1199	30	are	be	AUX
ejpam-6225	1199	31	unable	unable	ADJ
ejpam-6225	1199	32	of	of	ADP
ejpam-6225	1199	33	identifying	identify	VERB
ejpam-6225	1199	34	bipolarity	bipolarity	NOUN
ejpam-6225	1199	35	within	within	ADP
ejpam-6225	1199	36	the	the	DET
ejpam-6225	1199	37	dm	dm	PROPN
ejpam-6225	1199	38	process	process	NOUN
ejpam-6225	1199	39	,	,	PUNCT
ejpam-6225	1199	40	which	which	PRON
ejpam-6225	1199	41	could	could	AUX
ejpam-6225	1199	42	be	be	AUX
ejpam-6225	1199	43	a	a	DET
ejpam-6225	1199	44	key	key	ADJ
ejpam-6225	1199	45	component	component	NOUN
ejpam-6225	1199	46	of	of	ADP
ejpam-6225	1199	47	human	human	NOUN
ejpam-6225	1199	48	considering	considering	NOUN
ejpam-6225	1199	49	and	and	CCONJ
ejpam-6225	1199	50	behaviour	behaviour	NOUN
ejpam-6225	1199	51	.	.	PUNCT
ejpam-6225	1200	1	8.2	8.2	NUM
ejpam-6225	1200	2	.	.	PUNCT
ejpam-6225	1200	3	comparing	compare	VERB
ejpam-6225	1200	4	with	with	ADP
ejpam-6225	1200	5	other	other	ADJ
ejpam-6225	1200	6	techniques	technique	NOUN
ejpam-6225	1200	7	in	in	ADP
ejpam-6225	1200	8	this	this	DET
ejpam-6225	1200	9	subsection	subsection	NOUN
ejpam-6225	1200	10	,	,	PUNCT
ejpam-6225	1200	11	we	we	PRON
ejpam-6225	1200	12	reevaluate	reevaluate	VERB
ejpam-6225	1200	13	the	the	DET
ejpam-6225	1200	14	finest	fine	ADJ
ejpam-6225	1200	15	dm	dm	NOUN
ejpam-6225	1200	16	method	method	NOUN
ejpam-6225	1200	17	for	for	ADP
ejpam-6225	1200	18	the	the	DET
ejpam-6225	1200	19	instability	instability	NOUN
ejpam-6225	1200	20	issue	issue	NOUN
ejpam-6225	1200	21	produced	produce	VERB
ejpam-6225	1200	22	in	in	ADP
ejpam-6225	1200	23	example	example	NOUN
ejpam-6225	1200	24	7.1	7.1	NUM
ejpam-6225	1200	25	utilizing	utilize	VERB
ejpam-6225	1200	26	the	the	DET
ejpam-6225	1200	27	calculation	calculation	NOUN
ejpam-6225	1200	28	given	give	VERB
ejpam-6225	1200	29	by	by	ADP
ejpam-6225	1200	30	shabir	shabir	PROPN
ejpam-6225	1200	31	and	and	CCONJ
ejpam-6225	1200	32	gul	gul	PROPN
ejpam-6225	1201	1	[	[	X
ejpam-6225	1201	2	41	41	NUM
ejpam-6225	1201	3	]	]	PUNCT
ejpam-6225	1201	4	.	.	PUNCT
ejpam-6225	1202	1	these	these	DET
ejpam-6225	1202	2	results	result	NOUN
ejpam-6225	1202	3	were	be	AUX
ejpam-6225	1202	4	compared	compare	VERB
ejpam-6225	1202	5	with	with	ADP
ejpam-6225	1202	6	the	the	DET
ejpam-6225	1202	7	dm	dm	PROPN
ejpam-6225	1202	8	strategy	strategy	NOUN
ejpam-6225	1202	9	produced	produce	VERB
ejpam-6225	1202	10	in	in	ADP
ejpam-6225	1202	11	the	the	DET
ejpam-6225	1202	12	paper	paper	NOUN
ejpam-6225	1202	13	.	.	PUNCT
ejpam-6225	1203	1	to	to	PART
ejpam-6225	1203	2	begin	begin	VERB
ejpam-6225	1203	3	with	with	ADP
ejpam-6225	1203	4	,	,	PUNCT
ejpam-6225	1203	5	we	we	PRON
ejpam-6225	1203	6	utilized	utilize	VERB
ejpam-6225	1203	7	the	the	DET
ejpam-6225	1203	8	calculations	calculation	NOUN
ejpam-6225	1203	9	produced	produce	VERB
ejpam-6225	1203	10	by	by	ADP
ejpam-6225	1203	11	shabir	shabir	PROPN
ejpam-6225	1203	12	and	and	CCONJ
ejpam-6225	1203	13	gul	gul	PROPN
ejpam-6225	1204	1	[	[	X
ejpam-6225	1204	2	41	41	NUM
ejpam-6225	1204	3	]	]	PUNCT
ejpam-6225	1204	4	to	to	PART
ejpam-6225	1204	5	solve	solve	VERB
ejpam-6225	1204	6	example	example	NOUN
ejpam-6225	1204	7	7.1	7.1	NUM
ejpam-6225	1204	8	.	.	PUNCT
ejpam-6225	1205	1	upon	upon	SCONJ
ejpam-6225	1205	2	these	these	DET
ejpam-6225	1205	3	results	result	NOUN
ejpam-6225	1205	4	,	,	PUNCT
ejpam-6225	1205	5	we	we	PRON
ejpam-6225	1205	6	got	get	VERB
ejpam-6225	1205	7	the	the	DET
ejpam-6225	1205	8	inclination	inclination	NOUN
ejpam-6225	1205	9	ordering	ordering	NOUN
ejpam-6225	1205	10	of	of	ADP
ejpam-6225	1205	11	those	those	DET
ejpam-6225	1205	12	candidates	candidate	NOUN
ejpam-6225	1205	13	as	as	SCONJ
ejpam-6225	1205	14	takes	take	VERB
ejpam-6225	1205	15	after	after	ADV
ejpam-6225	1205	16	:	:	PUNCT
ejpam-6225	1205	17	c1	c1	PROPN
ejpam-6225	1205	18	=	=	PROPN
ejpam-6225	1205	19	c2	c2	PROPN
ejpam-6225	1205	20	=	=	SYM
ejpam-6225	1205	21	c3	c3	PROPN
ejpam-6225	1205	22	=	=	PROPN
ejpam-6225	1205	23	c4	c4	PROPN
ejpam-6225	1205	24	=	=	SYM
ejpam-6225	1205	25	c5	c5	PROPN
ejpam-6225	1205	26	.	.	PUNCT
ejpam-6225	1206	1	d.	d.	PROPN
ejpam-6225	1206	2	shi	shi	PROPN
ejpam-6225	1206	3	et	et	PROPN
ejpam-6225	1206	4	al	al	PROPN
ejpam-6225	1206	5	.	.	PUNCT
ejpam-6225	1206	6	/	/	SYM
ejpam-6225	1206	7	eur	eur	PROPN
ejpam-6225	1206	8	.	.	PUNCT
ejpam-6225	1207	1	j.	j.	PROPN
ejpam-6225	1207	2	pure	pure	PROPN
ejpam-6225	1207	3	appl	appl	PROPN
ejpam-6225	1207	4	.	.	PROPN
ejpam-6225	1207	5	math	math	PROPN
ejpam-6225	1207	6	,	,	PUNCT
ejpam-6225	1207	7	18	18	NUM
ejpam-6225	1207	8	(	(	PUNCT
ejpam-6225	1207	9	4	4	NUM
ejpam-6225	1207	10	)	)	PUNCT
ejpam-6225	1207	11	(	(	PUNCT
ejpam-6225	1207	12	2025	2025	NUM
ejpam-6225	1207	13	)	)	PUNCT
ejpam-6225	1207	14	,	,	PUNCT
ejpam-6225	1207	15	6225	6225	NUM
ejpam-6225	1207	16	33	33	NUM
ejpam-6225	1207	17	of	of	ADP
ejpam-6225	1207	18	36	36	NUM
ejpam-6225	1207	19	table	table	NOUN
ejpam-6225	1207	20	2	2	NUM
ejpam-6225	1207	21	:	:	PUNCT
ejpam-6225	1207	22	comparative	comparative	ADJ
ejpam-6225	1207	23	analysis	analysis	NOUN
ejpam-6225	1207	24	:	:	PUNCT
ejpam-6225	1207	25	a	a	DET
ejpam-6225	1207	26	brief	brief	ADJ
ejpam-6225	1207	27	summary	summary	NOUN
ejpam-6225	1207	28	according	accord	VERB
ejpam-6225	1207	29	to	to	ADP
ejpam-6225	1207	30	example	example	NOUN
ejpam-6225	1207	31	7.1	7.1	NUM
ejpam-6225	1207	32	.	.	PUNCT
ejpam-6225	1208	1	different	different	ADJ
ejpam-6225	1208	2	methods	method	NOUN
ejpam-6225	1208	3	ranking	rank	VERB
ejpam-6225	1208	4	of	of	ADP
ejpam-6225	1208	5	candidates	candidate	NOUN
ejpam-6225	1208	6	optimal	optimal	ADJ
ejpam-6225	1208	7	candidate	candidate	NOUN
ejpam-6225	1208	8	(	(	PUNCT
ejpam-6225	1208	9	shabir	shabir	NOUN
ejpam-6225	1208	10	and	and	CCONJ
ejpam-6225	1208	11	gul	gul	PROPN
ejpam-6225	1208	12	,	,	PUNCT
ejpam-6225	1208	13	2020	2020	NUM
ejpam-6225	1208	14	)	)	PUNCT
ejpam-6225	1209	1	[	[	X
ejpam-6225	1209	2	41	41	NUM
ejpam-6225	1209	3	]	]	X
ejpam-6225	1209	4	c1	c1	NOUN
ejpam-6225	1209	5	=	=	PROPN
ejpam-6225	1209	6	c2	c2	PROPN
ejpam-6225	1209	7	=	=	SYM
ejpam-6225	1209	8	c3	c3	PROPN
ejpam-6225	1209	9	=	=	PROPN
ejpam-6225	1209	10	c4	c4	PROPN
ejpam-6225	1209	11	=	=	SYM
ejpam-6225	1209	12	c5	c5	PROPN
ejpam-6225	1209	13	can	can	AUX
ejpam-6225	1209	14	not	not	PART
ejpam-6225	1209	15	handle	handle	VERB
ejpam-6225	1209	16	(	(	PUNCT
ejpam-6225	1209	17	karaaslan	karaaslan	NOUN
ejpam-6225	1209	18	and	and	CCONJ
ejpam-6225	1209	19	çağman	çağman	NOUN
ejpam-6225	1209	20	,	,	PUNCT
ejpam-6225	1209	21	2018	2018	NUM
ejpam-6225	1209	22	)	)	PUNCT
ejpam-6225	1210	1	[	[	X
ejpam-6225	1210	2	33	33	NUM
ejpam-6225	1210	3	]	]	X
ejpam-6225	1210	4	c1	c1	NOUN
ejpam-6225	1210	5	=	=	PROPN
ejpam-6225	1210	6	c2	c2	PROPN
ejpam-6225	1210	7	=	=	PROPN
ejpam-6225	1210	8	c3	c3	PROPN
ejpam-6225	1210	9	>	>	X
ejpam-6225	1210	10	c5	c5	PROPN
ejpam-6225	1210	11	>	>	X
ejpam-6225	1210	12	c5	c5	PROPN
ejpam-6225	1210	13	c1	c1	PROPN
ejpam-6225	1210	14	or	or	CCONJ
ejpam-6225	1210	15	c2	c2	PROPN
ejpam-6225	1210	16	or	or	CCONJ
ejpam-6225	1210	17	c3	c3	PROPN
ejpam-6225	1210	18	(	(	PUNCT
ejpam-6225	1210	19	gul	gul	PROPN
ejpam-6225	1210	20	et	et	PROPN
ejpam-6225	1210	21	al	al	PROPN
ejpam-6225	1210	22	.	.	PROPN
ejpam-6225	1210	23	,2022	,2022	PUNCT
ejpam-6225	1210	24	)	)	PUNCT
ejpam-6225	1211	1	[	[	X
ejpam-6225	1211	2	34	34	NUM
ejpam-6225	1211	3	]	]	X
ejpam-6225	1211	4	c3	c3	PROPN
ejpam-6225	1211	5	>	>	X
ejpam-6225	1211	6	c1	c1	PROPN
ejpam-6225	1211	7	=	=	PROPN
ejpam-6225	1211	8	c5	c5	PROPN
ejpam-6225	1211	9	>	>	X
ejpam-6225	1211	10	c2	c2	PROPN
ejpam-6225	1211	11	>	>	X
ejpam-6225	1211	12	c4	c4	PROPN
ejpam-6225	1211	13	c3	c3	PROPN
ejpam-6225	1211	14	suggested	suggest	VERB
ejpam-6225	1211	15	method	method	PROPN
ejpam-6225	1211	16	c3	c3	PROPN
ejpam-6225	1211	17	>	>	X
ejpam-6225	1211	18	c1	c1	PROPN
ejpam-6225	1211	19	>	>	PUNCT
ejpam-6225	1212	1	c5	c5	PROPN
ejpam-6225	1212	2	>	>	X
ejpam-6225	1212	3	c2	c2	PROPN
ejpam-6225	1212	4	>	>	X
ejpam-6225	1212	5	c4	c4	PROPN
ejpam-6225	1212	6	c3	c3	PROPN
ejpam-6225	1212	7	stated	state	VERB
ejpam-6225	1212	8	differently	differently	ADV
ejpam-6225	1212	9	,	,	PUNCT
ejpam-6225	1212	10	it	it	PRON
ejpam-6225	1212	11	was	be	AUX
ejpam-6225	1212	12	not	not	PART
ejpam-6225	1212	13	possible	possible	ADJ
ejpam-6225	1212	14	to	to	PART
ejpam-6225	1212	15	determine	determine	VERB
ejpam-6225	1212	16	the	the	DET
ejpam-6225	1212	17	candidates	candidate	NOUN
ejpam-6225	1212	18	’	’	PART
ejpam-6225	1212	19	preference	preference	NOUN
ejpam-6225	1212	20	order	order	NOUN
ejpam-6225	1212	21	.	.	PUNCT
ejpam-6225	1213	1	using	use	VERB
ejpam-6225	1213	2	the	the	DET
ejpam-6225	1213	3	technique	technique	NOUN
ejpam-6225	1213	4	described	describe	VERB
ejpam-6225	1213	5	in	in	ADP
ejpam-6225	1213	6	karaaslan	karaaslan	PROPN
ejpam-6225	1213	7	and	and	CCONJ
ejpam-6225	1213	8	çağman	çağman	NOUN
ejpam-6225	1213	9	[	[	X
ejpam-6225	1213	10	33	33	NUM
ejpam-6225	1213	11	]	]	PUNCT
ejpam-6225	1213	12	on	on	ADP
ejpam-6225	1213	13	example	example	NOUN
ejpam-6225	1213	14	7.1	7.1	NUM
ejpam-6225	1213	15	,	,	PUNCT
ejpam-6225	1213	16	we	we	PRON
ejpam-6225	1213	17	can	can	AUX
ejpam-6225	1213	18	now	now	ADV
ejpam-6225	1213	19	determine	determine	VERB
ejpam-6225	1213	20	the	the	DET
ejpam-6225	1213	21	candidates	candidate	NOUN
ejpam-6225	1213	22	’	’	PART
ejpam-6225	1213	23	preference	preference	NOUN
ejpam-6225	1213	24	order	order	NOUN
ejpam-6225	1213	25	as	as	SCONJ
ejpam-6225	1213	26	follows	follow	VERB
ejpam-6225	1213	27	:	:	PUNCT
ejpam-6225	1213	28	c1	c1	PROPN
ejpam-6225	1213	29	=	=	PROPN
ejpam-6225	1213	30	c2	c2	PROPN
ejpam-6225	1213	31	=	=	PROPN
ejpam-6225	1213	32	c3	c3	PROPN
ejpam-6225	1213	33	>	>	X
ejpam-6225	1213	34	c5	c5	PROPN
ejpam-6225	1213	35	>	>	X
ejpam-6225	1213	36	c5	c5	PROPN
ejpam-6225	1213	37	.	.	PUNCT
ejpam-6225	1214	1	therefore	therefore	ADV
ejpam-6225	1214	2	,	,	PUNCT
ejpam-6225	1214	3	we	we	PRON
ejpam-6225	1214	4	can	can	AUX
ejpam-6225	1214	5	not	not	PART
ejpam-6225	1214	6	determine	determine	VERB
ejpam-6225	1214	7	the	the	DET
ejpam-6225	1214	8	best	good	ADJ
ejpam-6225	1214	9	candidates	candidate	NOUN
ejpam-6225	1214	10	among	among	ADP
ejpam-6225	1214	11	c1	c1	PROPN
ejpam-6225	1214	12	,	,	PUNCT
ejpam-6225	1214	13	c2	c2	PROPN
ejpam-6225	1214	14	and	and	CCONJ
ejpam-6225	1214	15	c3	c3	PROPN
ejpam-6225	1214	16	.	.	PUNCT
ejpam-6225	1215	1	applying	apply	VERB
ejpam-6225	1215	2	the	the	DET
ejpam-6225	1215	3	method	method	NOUN
ejpam-6225	1215	4	described	describe	VERB
ejpam-6225	1215	5	in	in	ADP
ejpam-6225	1215	6	gul	gul	PROPN
ejpam-6225	1215	7	et	et	PROPN
ejpam-6225	1215	8	al	al	PROPN
ejpam-6225	1215	9	.	.	PUNCT
ejpam-6225	1216	1	[	[	X
ejpam-6225	1216	2	34	34	NUM
ejpam-6225	1216	3	]	]	PUNCT
ejpam-6225	1216	4	on	on	ADP
ejpam-6225	1216	5	example	example	NOUN
ejpam-6225	1216	6	7.1	7.1	NUM
ejpam-6225	1216	7	,	,	PUNCT
ejpam-6225	1216	8	determine	determine	VERB
ejpam-6225	1216	9	the	the	DET
ejpam-6225	1216	10	candidates	candidate	NOUN
ejpam-6225	1216	11	’	’	PART
ejpam-6225	1216	12	preference	preference	NOUN
ejpam-6225	1216	13	order	order	NOUN
ejpam-6225	1216	14	as	as	SCONJ
ejpam-6225	1216	15	follows	follow	VERB
ejpam-6225	1216	16	:	:	PUNCT
ejpam-6225	1216	17	c1	c1	PROPN
ejpam-6225	1216	18	=	=	PROPN
ejpam-6225	1216	19	c2	c2	PROPN
ejpam-6225	1216	20	=	=	PROPN
ejpam-6225	1216	21	c3	c3	PROPN
ejpam-6225	1216	22	>	>	X
ejpam-6225	1216	23	c5	c5	PROPN
ejpam-6225	1216	24	>	>	X
ejpam-6225	1216	25	c5	c5	PROPN
ejpam-6225	1216	26	.	.	PUNCT
ejpam-6225	1217	1	therefore	therefore	ADV
ejpam-6225	1217	2	,	,	PUNCT
ejpam-6225	1217	3	we	we	PRON
ejpam-6225	1217	4	can	can	AUX
ejpam-6225	1217	5	not	not	PART
ejpam-6225	1217	6	determine	determine	VERB
ejpam-6225	1217	7	the	the	DET
ejpam-6225	1217	8	best	good	ADJ
ejpam-6225	1217	9	candidates	candidate	NOUN
ejpam-6225	1217	10	between	between	ADP
ejpam-6225	1217	11	c1	c1	PROPN
ejpam-6225	1217	12	,	,	PUNCT
ejpam-6225	1217	13	c2	c2	PROPN
ejpam-6225	1217	14	and	and	CCONJ
ejpam-6225	1217	15	c3	c3	PROPN
ejpam-6225	1217	16	.	.	PUNCT
ejpam-6225	1217	17	table	table	NOUN
ejpam-6225	1217	18	2	2	NUM
ejpam-6225	1217	19	demonstrates	demonstrate	VERB
ejpam-6225	1217	20	that	that	SCONJ
ejpam-6225	1217	21	our	our	PRON
ejpam-6225	1217	22	suggested	suggest	VERB
ejpam-6225	1217	23	approach	approach	NOUN
ejpam-6225	1217	24	is	be	AUX
ejpam-6225	1217	25	able	able	ADJ
ejpam-6225	1217	26	to	to	PART
ejpam-6225	1217	27	distinguish	distinguish	VERB
ejpam-6225	1217	28	each	each	DET
ejpam-6225	1217	29	candidate	candidate	NOUN
ejpam-6225	1217	30	clearly	clearly	ADV
ejpam-6225	1217	31	and	and	CCONJ
ejpam-6225	1217	32	determine	determine	VERB
ejpam-6225	1217	33	who	who	PRON
ejpam-6225	1217	34	is	be	AUX
ejpam-6225	1217	35	the	the	DET
ejpam-6225	1217	36	best	good	ADJ
ejpam-6225	1217	37	fit	fit	NOUN
ejpam-6225	1217	38	for	for	ADP
ejpam-6225	1217	39	a	a	DET
ejpam-6225	1217	40	senior	senior	ADJ
ejpam-6225	1217	41	academic	academic	ADJ
ejpam-6225	1217	42	job	job	NOUN
ejpam-6225	1217	43	.	.	PUNCT
ejpam-6225	1218	1	given	give	VERB
ejpam-6225	1218	2	all	all	PRON
ejpam-6225	1218	3	of	of	ADP
ejpam-6225	1218	4	these	these	DET
ejpam-6225	1218	5	advantages	advantage	NOUN
ejpam-6225	1218	6	,	,	PUNCT
ejpam-6225	1218	7	we	we	PRON
ejpam-6225	1218	8	advise	advise	VERB
ejpam-6225	1218	9	using	use	VERB
ejpam-6225	1218	10	the	the	DET
ejpam-6225	1218	11	strategy	strategy	NOUN
ejpam-6225	1218	12	presented	present	VERB
ejpam-6225	1218	13	in	in	ADP
ejpam-6225	1218	14	this	this	DET
ejpam-6225	1218	15	study	study	NOUN
ejpam-6225	1218	16	based	base	VERB
ejpam-6225	1218	17	on	on	ADP
ejpam-6225	1218	18	ideals	ideal	NOUN
ejpam-6225	1218	19	in	in	ADP
ejpam-6225	1218	20	the	the	DET
ejpam-6225	1218	21	dm	dm	PROPN
ejpam-6225	1218	22	process	process	NOUN
ejpam-6225	1218	23	for	for	ADP
ejpam-6225	1218	24	uncertainty	uncertainty	NOUN
ejpam-6225	1218	25	concerns	concern	NOUN
ejpam-6225	1218	26	.	.	PUNCT
ejpam-6225	1219	1	9	9	X
ejpam-6225	1219	2	.	.	X
ejpam-6225	1219	3	conclusion	conclusion	NOUN
ejpam-6225	1219	4	the	the	DET
ejpam-6225	1219	5	notion	notion	NOUN
ejpam-6225	1219	6	of	of	ADP
ejpam-6225	1219	7	ideals	ideal	NOUN
ejpam-6225	1219	8	plays	play	VERB
ejpam-6225	1219	9	a	a	DET
ejpam-6225	1219	10	pivotal	pivotal	ADJ
ejpam-6225	1219	11	role	role	NOUN
ejpam-6225	1219	12	in	in	ADP
ejpam-6225	1219	13	topological	topological	ADJ
ejpam-6225	1219	14	spaces	space	NOUN
ejpam-6225	1219	15	and	and	CCONJ
ejpam-6225	1219	16	serves	serve	VERB
ejpam-6225	1219	17	as	as	ADP
ejpam-6225	1219	18	a	a	DET
ejpam-6225	1219	19	fundamental	fundamental	ADJ
ejpam-6225	1219	20	tool	tool	NOUN
ejpam-6225	1219	21	for	for	ADP
ejpam-6225	1219	22	addressing	address	VERB
ejpam-6225	1219	23	various	various	ADJ
ejpam-6225	1219	24	topological	topological	ADJ
ejpam-6225	1219	25	challenges	challenge	NOUN
ejpam-6225	1219	26	.	.	PUNCT
ejpam-6225	1220	1	this	this	DET
ejpam-6225	1220	2	paper	paper	NOUN
ejpam-6225	1220	3	presents	present	VERB
ejpam-6225	1220	4	a	a	DET
ejpam-6225	1220	5	generalization	generalization	NOUN
ejpam-6225	1220	6	and	and	CCONJ
ejpam-6225	1220	7	enhancement	enhancement	NOUN
ejpam-6225	1220	8	of	of	ADP
ejpam-6225	1220	9	three	three	NUM
ejpam-6225	1220	10	bipolar	bipolar	ADJ
ejpam-6225	1220	11	soft	soft	ADJ
ejpam-6225	1220	12	rough	rough	ADJ
ejpam-6225	1220	13	set	set	NOUN
ejpam-6225	1220	14	models	model	NOUN
ejpam-6225	1220	15	,	,	PUNCT
ejpam-6225	1220	16	introducing	introduce	VERB
ejpam-6225	1220	17	new	new	ADJ
ejpam-6225	1220	18	approximation	approximation	NOUN
ejpam-6225	1220	19	techniques	technique	NOUN
ejpam-6225	1220	20	referred	refer	VERB
ejpam-6225	1220	21	to	to	ADP
ejpam-6225	1220	22	as	as	ADP
ejpam-6225	1220	23	∗−ideal	∗−ideal	NUM
ejpam-6225	1220	24	bipolar	bipolar	ADJ
ejpam-6225	1220	25	soft	soft	ADJ
ejpam-6225	1220	26	rough	rough	ADJ
ejpam-6225	1220	27	approximations	approximation	NOUN
ejpam-6225	1220	28	.	.	PUNCT
ejpam-6225	1221	1	these	these	DET
ejpam-6225	1221	2	methods	method	NOUN
ejpam-6225	1221	3	expand	expand	VERB
ejpam-6225	1221	4	the	the	DET
ejpam-6225	1221	5	scope	scope	NOUN
ejpam-6225	1221	6	of	of	ADP
ejpam-6225	1221	7	previous	previous	ADJ
ejpam-6225	1221	8	approaches	approach	NOUN
ejpam-6225	1221	9	by	by	ADP
ejpam-6225	1221	10	incorporating	incorporate	VERB
ejpam-6225	1221	11	unique	unique	ADJ
ejpam-6225	1221	12	properties	property	NOUN
ejpam-6225	1221	13	and	and	CCONJ
ejpam-6225	1221	14	features	feature	NOUN
ejpam-6225	1221	15	.	.	PUNCT
ejpam-6225	1222	1	two	two	NUM
ejpam-6225	1222	2	different	different	ADJ
ejpam-6225	1222	3	techniques	technique	NOUN
ejpam-6225	1222	4	of	of	ADP
ejpam-6225	1222	5	∗−ideal	∗−ideal	DET
ejpam-6225	1222	6	bipolar	bipolar	ADJ
ejpam-6225	1222	7	sa	sa	NOUN
ejpam-6225	1222	8	spaces	space	NOUN
ejpam-6225	1222	9	defined	define	VERB
ejpam-6225	1222	10	with	with	ADP
ejpam-6225	1222	11	two	two	NUM
ejpam-6225	1222	12	ideals	ideal	NOUN
ejpam-6225	1222	13	,	,	PUNCT
ejpam-6225	1222	14	called	call	VERB
ejpam-6225	1222	15	∗−ideal	∗−ideal	DET
ejpam-6225	1222	16	bipolar	bipolar	ADJ
ejpam-6225	1222	17	sa	sa	NOUN
ejpam-6225	1222	18	spaces	space	NOUN
ejpam-6225	1222	19	,	,	PUNCT
ejpam-6225	1222	20	were	be	AUX
ejpam-6225	1222	21	presented	present	VERB
ejpam-6225	1222	22	in	in	ADP
ejpam-6225	1222	23	definitions	definition	NOUN
ejpam-6225	1222	24	5.2	5.2	NUM
ejpam-6225	1222	25	and	and	CCONJ
ejpam-6225	1222	26	5.3	5.3	NUM
ejpam-6225	1222	27	.	.	PUNCT
ejpam-6225	1223	1	additionally	additionally	ADV
ejpam-6225	1223	2	,	,	PUNCT
ejpam-6225	1223	3	these	these	DET
ejpam-6225	1223	4	methodologies	methodology	NOUN
ejpam-6225	1223	5	’	'	PUNCT
ejpam-6225	1223	6	comparisons	comparison	NOUN
ejpam-6225	1223	7	are	be	AUX
ejpam-6225	1223	8	examined	examine	VERB
ejpam-6225	1223	9	.	.	PUNCT
ejpam-6225	1224	1	using	use	VERB
ejpam-6225	1224	2	n	n	CCONJ
ejpam-6225	1224	3	-	-	PUNCT
ejpam-6225	1224	4	ideals	ideal	NOUN
ejpam-6225	1224	5	,	,	PUNCT
ejpam-6225	1224	6	this	this	DET
ejpam-6225	1224	7	strategy	strategy	NOUN
ejpam-6225	1224	8	can	can	AUX
ejpam-6225	1224	9	be	be	AUX
ejpam-6225	1224	10	expanded	expand	VERB
ejpam-6225	1224	11	in	in	ADP
ejpam-6225	1224	12	analogously	analogously	ADV
ejpam-6225	1224	13	.	.	PUNCT
ejpam-6225	1225	1	moreover	moreover	ADV
ejpam-6225	1225	2	,	,	PUNCT
ejpam-6225	1225	3	certain	certain	ADJ
ejpam-6225	1225	4	uncertainty	uncertainty	NOUN
ejpam-6225	1225	5	measures	measure	NOUN
ejpam-6225	1225	6	related	relate	VERB
ejpam-6225	1225	7	to	to	ADP
ejpam-6225	1225	8	the	the	DET
ejpam-6225	1225	9	discussed	discuss	VERB
ejpam-6225	1225	10	∗−ideal	∗−ideal	ADJ
ejpam-6225	1225	11	bipolar	bipolar	ADJ
ejpam-6225	1225	12	soft	soft	ADJ
ejpam-6225	1225	13	rough	rough	ADJ
ejpam-6225	1225	14	approximation	approximation	NOUN
ejpam-6225	1225	15	spaces	space	NOUN
ejpam-6225	1225	16	are	be	AUX
ejpam-6225	1225	17	also	also	ADV
ejpam-6225	1225	18	offered	offer	VERB
ejpam-6225	1225	19	.	.	PUNCT
ejpam-6225	1226	1	to	to	PART
ejpam-6225	1226	2	highlight	highlight	VERB
ejpam-6225	1226	3	the	the	DET
ejpam-6225	1226	4	significance	significance	NOUN
ejpam-6225	1226	5	of	of	ADP
ejpam-6225	1226	6	this	this	DET
ejpam-6225	1226	7	work	work	NOUN
ejpam-6225	1226	8	,	,	PUNCT
ejpam-6225	1226	9	a	a	DET
ejpam-6225	1226	10	generic	generic	ADJ
ejpam-6225	1226	11	framework	framework	NOUN
ejpam-6225	1226	12	for	for	ADP
ejpam-6225	1226	13	multi	multi	ADJ
ejpam-6225	1226	14	-	-	ADJ
ejpam-6225	1226	15	attribute	attribute	NOUN
ejpam-6225	1226	16	group	group	NOUN
ejpam-6225	1226	17	decision	decision	NOUN
ejpam-6225	1226	18	-	-	PUNCT
ejpam-6225	1226	19	making	make	VERB
ejpam-6225	1226	20	(	(	PUNCT
ejpam-6225	1226	21	magdm	magdm	NOUN
ejpam-6225	1226	22	)	)	PUNCT
ejpam-6225	1226	23	was	be	AUX
ejpam-6225	1226	24	proposed	propose	VERB
ejpam-6225	1226	25	,	,	PUNCT
ejpam-6225	1226	26	based	base	VERB
ejpam-6225	1226	27	on	on	ADP
ejpam-6225	1226	28	the	the	DET
ejpam-6225	1226	29	∗−ideal	∗−ideal	ADJ
ejpam-6225	1226	30	bipolar	bipolar	ADJ
ejpam-6225	1226	31	soft	soft	ADJ
ejpam-6225	1226	32	rough	rough	ADJ
ejpam-6225	1226	33	approximations	approximation	NOUN
ejpam-6225	1226	34	.	.	PUNCT
ejpam-6225	1227	1	this	this	DET
ejpam-6225	1227	2	framework	framework	NOUN
ejpam-6225	1227	3	effectively	effectively	ADV
ejpam-6225	1227	4	enhances	enhance	VERB
ejpam-6225	1227	5	the	the	DET
ejpam-6225	1227	6	decision	decision	NOUN
ejpam-6225	1227	7	-	-	PUNCT
ejpam-6225	1227	8	making	make	VERB
ejpam-6225	1227	9	process	process	NOUN
ejpam-6225	1227	10	by	by	ADP
ejpam-6225	1227	11	improving	improve	VERB
ejpam-6225	1227	12	the	the	DET
ejpam-6225	1227	13	reliability	reliability	NOUN
ejpam-6225	1227	14	of	of	ADP
ejpam-6225	1227	15	expert	expert	NOUN
ejpam-6225	1227	16	evaluations	evaluation	NOUN
ejpam-6225	1227	17	and	and	CCONJ
ejpam-6225	1227	18	facilitating	facilitate	VERB
ejpam-6225	1227	19	the	the	DET
ejpam-6225	1227	20	selection	selection	NOUN
ejpam-6225	1227	21	of	of	ADP
ejpam-6225	1227	22	optimal	optimal	ADJ
ejpam-6225	1227	23	alternatives	alternative	NOUN
ejpam-6225	1227	24	.	.	PUNCT
ejpam-6225	1228	1	two	two	NUM
ejpam-6225	1228	2	primary	primary	ADJ
ejpam-6225	1228	3	advantages	advantage	NOUN
ejpam-6225	1228	4	of	of	ADP
ejpam-6225	1228	5	the	the	DET
ejpam-6225	1228	6	proposed	propose	VERB
ejpam-6225	1228	7	decision	decision	NOUN
ejpam-6225	1228	8	-	-	PUNCT
ejpam-6225	1228	9	making	make	VERB
ejpam-6225	1228	10	algorithm	algorithm	NOUN
ejpam-6225	1228	11	were	be	AUX
ejpam-6225	1228	12	emphasized	emphasize	VERB
ejpam-6225	1228	13	:	:	PUNCT
ejpam-6225	1228	14	(	(	PUNCT
ejpam-6225	1228	15	1	1	X
ejpam-6225	1228	16	)	)	PUNCT
ejpam-6225	1228	17	its	its	PRON
ejpam-6225	1228	18	ability	ability	NOUN
ejpam-6225	1228	19	to	to	PART
ejpam-6225	1228	20	control	control	VERB
ejpam-6225	1228	21	uncertainty	uncertainty	NOUN
ejpam-6225	1228	22	and	and	CCONJ
ejpam-6225	1228	23	bipolarity	bipolarity	NOUN
ejpam-6225	1228	24	in	in	ADP
ejpam-6225	1228	25	the	the	DET
ejpam-6225	1228	26	data	datum	NOUN
ejpam-6225	1228	27	.	.	PUNCT
ejpam-6225	1229	1	(	(	PUNCT
ejpam-6225	1229	2	2	2	X
ejpam-6225	1229	3	)	)	PUNCT
ejpam-6225	1229	4	its	its	PRON
ejpam-6225	1229	5	capacity	capacity	NOUN
ejpam-6225	1229	6	to	to	PART
ejpam-6225	1229	7	incorporate	incorporate	VERB
ejpam-6225	1229	8	the	the	DET
ejpam-6225	1229	9	opinions	opinion	NOUN
ejpam-6225	1229	10	of	of	ADP
ejpam-6225	1229	11	multiple	multiple	ADJ
ejpam-6225	1229	12	experts	expert	NOUN
ejpam-6225	1229	13	across	across	ADP
ejpam-6225	1229	14	various	various	ADJ
ejpam-6225	1229	15	alternatives	alternative	NOUN
ejpam-6225	1229	16	.	.	PUNCT
ejpam-6225	1230	1	the	the	DET
ejpam-6225	1230	2	validity	validity	NOUN
ejpam-6225	1230	3	of	of	ADP
ejpam-6225	1230	4	the	the	DET
ejpam-6225	1230	5	proposed	propose	VERB
ejpam-6225	1230	6	methodology	methodology	NOUN
ejpam-6225	1230	7	was	be	AUX
ejpam-6225	1230	8	demonstrated	demonstrate	VERB
ejpam-6225	1230	9	through	through	ADP
ejpam-6225	1230	10	a	a	DET
ejpam-6225	1230	11	real	real	ADJ
ejpam-6225	1230	12	-	-	PUNCT
ejpam-6225	1230	13	world	world	NOUN
ejpam-6225	1230	14	application	application	NOUN
ejpam-6225	1230	15	of	of	ADP
ejpam-6225	1230	16	the	the	DET
ejpam-6225	1230	17	magdm	magdm	NOUN
ejpam-6225	1230	18	framework	framework	NOUN
ejpam-6225	1230	19	.	.	PUNCT
ejpam-6225	1231	1	a	a	DET
ejpam-6225	1231	2	comparison	comparison	NOUN
ejpam-6225	1231	3	study	study	NOUN
ejpam-6225	1231	4	between	between	ADP
ejpam-6225	1231	5	the	the	DET
ejpam-6225	1231	6	suggested	suggest	VERB
ejpam-6225	1231	7	approach	approach	NOUN
ejpam-6225	1231	8	and	and	CCONJ
ejpam-6225	1231	9	the	the	DET
ejpam-6225	1231	10	existing	exist	VERB
ejpam-6225	1231	11	methods	method	NOUN
ejpam-6225	1231	12	confirmed	confirm	VERB
ejpam-6225	1231	13	the	the	DET
ejpam-6225	1231	14	superiority	superiority	NOUN
ejpam-6225	1231	15	of	of	ADP
ejpam-6225	1231	16	the	the	DET
ejpam-6225	1231	17	∗−ideal	∗−ideal	ADJ
ejpam-6225	1231	18	bipolar	bipolar	ADJ
ejpam-6225	1231	19	soft	soft	ADJ
ejpam-6225	1231	20	approximation	approximation	NOUN
ejpam-6225	1231	21	technique	technique	NOUN
ejpam-6225	1231	22	.	.	PUNCT
ejpam-6225	1232	1	this	this	DET
ejpam-6225	1232	2	generalization	generalization	NOUN
ejpam-6225	1232	3	proved	prove	VERB
ejpam-6225	1232	4	to	to	PART
ejpam-6225	1232	5	be	be	AUX
ejpam-6225	1232	6	a	a	DET
ejpam-6225	1232	7	more	more	ADV
ejpam-6225	1232	8	effective	effective	ADJ
ejpam-6225	1232	9	and	and	CCONJ
ejpam-6225	1232	10	reliable	reliable	ADJ
ejpam-6225	1232	11	tool	tool	NOUN
ejpam-6225	1232	12	for	for	ADP
ejpam-6225	1232	13	addressing	address	VERB
ejpam-6225	1232	14	complex	complex	ADJ
ejpam-6225	1232	15	decision	decision	NOUN
ejpam-6225	1232	16	-	-	PUNCT
ejpam-6225	1232	17	making	make	VERB
ejpam-6225	1232	18	challenges	challenge	NOUN
ejpam-6225	1232	19	,	,	PUNCT
ejpam-6225	1232	20	showcasing	showcase	VERB
ejpam-6225	1232	21	its	its	PRON
ejpam-6225	1232	22	potential	potential	NOUN
ejpam-6225	1232	23	to	to	PART
ejpam-6225	1232	24	guide	guide	VERB
ejpam-6225	1232	25	accurate	accurate	ADJ
ejpam-6225	1232	26	and	and	CCONJ
ejpam-6225	1232	27	informed	informed	ADJ
ejpam-6225	1232	28	decisions	decision	NOUN
ejpam-6225	1232	29	in	in	ADP
ejpam-6225	1232	30	practical	practical	ADJ
ejpam-6225	1232	31	scenarios	scenario	NOUN
ejpam-6225	1232	32	.	.	PUNCT
ejpam-6225	1233	1	applications	application	NOUN
ejpam-6225	1233	2	and	and	CCONJ
ejpam-6225	1233	3	future	future	ADJ
ejpam-6225	1233	4	directions	direction	NOUN
ejpam-6225	1233	5	.	.	PUNCT
ejpam-6225	1234	1	the	the	DET
ejpam-6225	1234	2	practical	practical	ADJ
ejpam-6225	1234	3	applications	application	NOUN
ejpam-6225	1234	4	of	of	ADP
ejpam-6225	1234	5	this	this	DET
ejpam-6225	1234	6	research	research	NOUN
ejpam-6225	1234	7	are	be	AUX
ejpam-6225	1234	8	vast	vast	ADJ
ejpam-6225	1234	9	and	and	CCONJ
ejpam-6225	1234	10	diverse	diverse	ADJ
ejpam-6225	1234	11	,	,	PUNCT
ejpam-6225	1234	12	particularly	particularly	ADV
ejpam-6225	1234	13	in	in	ADP
ejpam-6225	1234	14	areas	area	NOUN
ejpam-6225	1234	15	requiring	require	VERB
ejpam-6225	1234	16	enhanced	enhanced	ADJ
ejpam-6225	1234	17	decision	decision	NOUN
ejpam-6225	1234	18	-	-	PUNCT
ejpam-6225	1234	19	making	making	NOUN
ejpam-6225	1234	20	under	under	ADP
ejpam-6225	1234	21	conditions	condition	NOUN
ejpam-6225	1234	22	of	of	ADP
ejpam-6225	1234	23	uncertainty	uncertainty	NOUN
ejpam-6225	1234	24	.	.	PUNCT
ejpam-6225	1235	1	key	key	ADJ
ejpam-6225	1235	2	applications	application	NOUN
ejpam-6225	1235	3	include	include	VERB
ejpam-6225	1235	4	multi	multi	ADJ
ejpam-6225	1235	5	-	-	ADJ
ejpam-6225	1235	6	attribute	attribute	NOUN
ejpam-6225	1235	7	decision	decision	NOUN
ejpam-6225	1235	8	-	-	PUNCT
ejpam-6225	1235	9	making	making	NOUN
ejpam-6225	1235	10	in	in	ADP
ejpam-6225	1235	11	fields	field	NOUN
ejpam-6225	1235	12	such	such	ADJ
ejpam-6225	1235	13	as	as	ADP
ejpam-6225	1235	14	healthcare	healthcare	PROPN
ejpam-6225	1235	15	,	,	PUNCT
ejpam-6225	1235	16	d.	d.	PROPN
ejpam-6225	1235	17	shi	shi	PROPN
ejpam-6225	1235	18	et	et	PROPN
ejpam-6225	1235	19	al	al	PROPN
ejpam-6225	1235	20	.	.	PUNCT
ejpam-6225	1235	21	/	/	SYM
ejpam-6225	1235	22	eur	eur	PROPN
ejpam-6225	1235	23	.	.	PUNCT
ejpam-6225	1236	1	j.	j.	PROPN
ejpam-6225	1236	2	pure	pure	PROPN
ejpam-6225	1236	3	appl	appl	PROPN
ejpam-6225	1236	4	.	.	PROPN
ejpam-6225	1236	5	math	math	PROPN
ejpam-6225	1236	6	,	,	PUNCT
ejpam-6225	1236	7	18	18	NUM
ejpam-6225	1236	8	(	(	PUNCT
ejpam-6225	1236	9	4	4	NUM
ejpam-6225	1236	10	)	)	PUNCT
ejpam-6225	1236	11	(	(	PUNCT
ejpam-6225	1236	12	2025	2025	NUM
ejpam-6225	1236	13	)	)	PUNCT
ejpam-6225	1236	14	,	,	PUNCT
ejpam-6225	1236	15	6225	6225	NUM
ejpam-6225	1236	16	34	34	NUM
ejpam-6225	1236	17	of	of	ADP
ejpam-6225	1236	18	36	36	NUM
ejpam-6225	1236	19	financial	financial	ADJ
ejpam-6225	1236	20	risk	risk	NOUN
ejpam-6225	1236	21	assessment	assessment	NOUN
ejpam-6225	1236	22	,	,	PUNCT
ejpam-6225	1236	23	and	and	CCONJ
ejpam-6225	1236	24	engineering	engineering	NOUN
ejpam-6225	1236	25	project	project	NOUN
ejpam-6225	1236	26	evaluations	evaluation	NOUN
ejpam-6225	1236	27	.	.	PUNCT
ejpam-6225	1237	1	in	in	ADP
ejpam-6225	1237	2	healthcare	healthcare	PROPN
ejpam-6225	1237	3	,	,	PUNCT
ejpam-6225	1237	4	for	for	ADP
ejpam-6225	1237	5	instance	instance	NOUN
ejpam-6225	1237	6	,	,	PUNCT
ejpam-6225	1237	7	the	the	DET
ejpam-6225	1237	8	proposed	propose	VERB
ejpam-6225	1237	9	framework	framework	NOUN
ejpam-6225	1237	10	can	can	AUX
ejpam-6225	1237	11	assist	assist	VERB
ejpam-6225	1237	12	in	in	ADP
ejpam-6225	1237	13	diagnostic	diagnostic	ADJ
ejpam-6225	1237	14	decision	decision	NOUN
ejpam-6225	1237	15	-	-	PUNCT
ejpam-6225	1237	16	making	making	NOUN
ejpam-6225	1237	17	by	by	ADP
ejpam-6225	1237	18	integrating	integrate	VERB
ejpam-6225	1237	19	conflicting	conflict	VERB
ejpam-6225	1237	20	expert	expert	NOUN
ejpam-6225	1237	21	opinions	opinion	NOUN
ejpam-6225	1237	22	and	and	CCONJ
ejpam-6225	1237	23	prioritizing	prioritize	VERB
ejpam-6225	1237	24	alternatives	alternative	NOUN
ejpam-6225	1237	25	.	.	PUNCT
ejpam-6225	1238	1	similarly	similarly	ADV
ejpam-6225	1238	2	,	,	PUNCT
ejpam-6225	1238	3	in	in	ADP
ejpam-6225	1238	4	finance	finance	NOUN
ejpam-6225	1238	5	,	,	PUNCT
ejpam-6225	1238	6	it	it	PRON
ejpam-6225	1238	7	can	can	AUX
ejpam-6225	1238	8	be	be	AUX
ejpam-6225	1238	9	used	use	VERB
ejpam-6225	1238	10	to	to	PART
ejpam-6225	1238	11	weigh	weigh	VERB
ejpam-6225	1238	12	the	the	DET
ejpam-6225	1238	13	potential	potential	ADJ
ejpam-6225	1238	14	risks	risk	NOUN
ejpam-6225	1238	15	and	and	CCONJ
ejpam-6225	1238	16	returns	return	NOUN
ejpam-6225	1238	17	of	of	ADP
ejpam-6225	1238	18	investment	investment	NOUN
ejpam-6225	1238	19	portfolios	portfolio	NOUN
ejpam-6225	1238	20	.	.	PUNCT
ejpam-6225	1239	1	beyond	beyond	ADP
ejpam-6225	1239	2	these	these	PRON
ejpam-6225	1239	3	,	,	PUNCT
ejpam-6225	1239	4	the	the	DET
ejpam-6225	1239	5	methodology	methodology	NOUN
ejpam-6225	1239	6	has	have	VERB
ejpam-6225	1239	7	potential	potential	ADJ
ejpam-6225	1239	8	utility	utility	NOUN
ejpam-6225	1239	9	in	in	ADP
ejpam-6225	1239	10	artificial	artificial	ADJ
ejpam-6225	1239	11	intelligence	intelligence	NOUN
ejpam-6225	1239	12	,	,	PUNCT
ejpam-6225	1239	13	where	where	SCONJ
ejpam-6225	1239	14	decision	decision	NOUN
ejpam-6225	1239	15	-	-	PUNCT
ejpam-6225	1239	16	making	make	VERB
ejpam-6225	1239	17	systems	system	NOUN
ejpam-6225	1239	18	require	require	VERB
ejpam-6225	1239	19	the	the	DET
ejpam-6225	1239	20	handling	handling	NOUN
ejpam-6225	1239	21	of	of	ADP
ejpam-6225	1239	22	nuanced	nuanced	ADJ
ejpam-6225	1239	23	and	and	CCONJ
ejpam-6225	1239	24	uncertain	uncertain	ADJ
ejpam-6225	1239	25	data	datum	NOUN
ejpam-6225	1239	26	.	.	PUNCT
ejpam-6225	1240	1	looking	look	VERB
ejpam-6225	1240	2	forward	forward	ADV
ejpam-6225	1240	3	,	,	PUNCT
ejpam-6225	1240	4	this	this	DET
ejpam-6225	1240	5	research	research	NOUN
ejpam-6225	1240	6	paves	pave	VERB
ejpam-6225	1240	7	the	the	DET
ejpam-6225	1240	8	way	way	NOUN
ejpam-6225	1240	9	for	for	ADP
ejpam-6225	1240	10	several	several	ADJ
ejpam-6225	1240	11	promising	promising	ADJ
ejpam-6225	1240	12	directions	direction	NOUN
ejpam-6225	1240	13	.	.	PUNCT
ejpam-6225	1241	1	one	one	NUM
ejpam-6225	1241	2	significant	significant	ADJ
ejpam-6225	1241	3	avenue	avenue	NOUN
ejpam-6225	1241	4	lies	lie	VERB
ejpam-6225	1241	5	in	in	ADP
ejpam-6225	1241	6	integrating	integrate	VERB
ejpam-6225	1241	7	the	the	DET
ejpam-6225	1241	8	proposed	propose	VERB
ejpam-6225	1241	9	techniques	technique	NOUN
ejpam-6225	1241	10	with	with	ADP
ejpam-6225	1241	11	machine	machine	NOUN
ejpam-6225	1241	12	learning	learning	NOUN
ejpam-6225	1241	13	models	model	NOUN
ejpam-6225	1241	14	to	to	PART
ejpam-6225	1241	15	enhance	enhance	VERB
ejpam-6225	1241	16	their	their	PRON
ejpam-6225	1241	17	robustness	robustness	NOUN
ejpam-6225	1241	18	and	and	CCONJ
ejpam-6225	1241	19	scalability	scalability	NOUN
ejpam-6225	1241	20	.	.	PUNCT
ejpam-6225	1242	1	another	another	DET
ejpam-6225	1242	2	key	key	ADJ
ejpam-6225	1242	3	direction	direction	NOUN
ejpam-6225	1242	4	is	be	AUX
ejpam-6225	1242	5	the	the	DET
ejpam-6225	1242	6	exploration	exploration	NOUN
ejpam-6225	1242	7	of	of	ADP
ejpam-6225	1242	8	hybrid	hybrid	NOUN
ejpam-6225	1242	9	models	model	NOUN
ejpam-6225	1242	10	that	that	PRON
ejpam-6225	1242	11	combine	combine	VERB
ejpam-6225	1242	12	ideal	ideal	ADJ
ejpam-6225	1242	13	bipolar	bipolar	ADJ
ejpam-6225	1242	14	soft	soft	ADJ
ejpam-6225	1242	15	rough	rough	ADJ
ejpam-6225	1242	16	sets	set	NOUN
ejpam-6225	1242	17	with	with	ADP
ejpam-6225	1242	18	neural	neural	ADJ
ejpam-6225	1242	19	networks	network	NOUN
ejpam-6225	1242	20	or	or	CCONJ
ejpam-6225	1242	21	deep	deep	ADJ
ejpam-6225	1242	22	learning	learning	NOUN
ejpam-6225	1242	23	frameworks	framework	NOUN
ejpam-6225	1242	24	to	to	PART
ejpam-6225	1242	25	address	address	VERB
ejpam-6225	1242	26	high	high	ADJ
ejpam-6225	1242	27	-	-	PUNCT
ejpam-6225	1242	28	dimensional	dimensional	ADJ
ejpam-6225	1242	29	and	and	CCONJ
ejpam-6225	1242	30	complex	complex	ADJ
ejpam-6225	1242	31	datasets	dataset	NOUN
ejpam-6225	1242	32	.	.	PUNCT
ejpam-6225	1243	1	additionally	additionally	ADV
ejpam-6225	1243	2	,	,	PUNCT
ejpam-6225	1243	3	expanding	expand	VERB
ejpam-6225	1243	4	the	the	DET
ejpam-6225	1243	5	application	application	NOUN
ejpam-6225	1243	6	of	of	ADP
ejpam-6225	1243	7	these	these	DET
ejpam-6225	1243	8	methods	method	NOUN
ejpam-6225	1243	9	to	to	ADP
ejpam-6225	1243	10	dynamic	dynamic	ADJ
ejpam-6225	1243	11	systems	system	NOUN
ejpam-6225	1243	12	,	,	PUNCT
ejpam-6225	1243	13	such	such	ADJ
ejpam-6225	1243	14	as	as	ADP
ejpam-6225	1243	15	real	real	ADJ
ejpam-6225	1243	16	-	-	PUNCT
ejpam-6225	1243	17	time	time	NOUN
ejpam-6225	1243	18	decision	decision	NOUN
ejpam-6225	1243	19	-	-	PUNCT
ejpam-6225	1243	20	making	making	NOUN
ejpam-6225	1243	21	in	in	ADP
ejpam-6225	1243	22	autonomous	autonomous	ADJ
ejpam-6225	1243	23	vehicles	vehicle	NOUN
ejpam-6225	1243	24	or	or	CCONJ
ejpam-6225	1243	25	adaptive	adaptive	ADJ
ejpam-6225	1243	26	control	control	NOUN
ejpam-6225	1243	27	in	in	ADP
ejpam-6225	1243	28	robotics	robotic	NOUN
ejpam-6225	1243	29	,	,	PUNCT
ejpam-6225	1243	30	represents	represent	VERB
ejpam-6225	1243	31	a	a	DET
ejpam-6225	1243	32	compelling	compelling	ADJ
ejpam-6225	1243	33	opportunity	opportunity	NOUN
ejpam-6225	1243	34	.	.	PUNCT
ejpam-6225	1244	1	further	further	ADJ
ejpam-6225	1244	2	theoretical	theoretical	ADJ
ejpam-6225	1244	3	advancements	advancement	NOUN
ejpam-6225	1244	4	,	,	PUNCT
ejpam-6225	1244	5	including	include	VERB
ejpam-6225	1244	6	the	the	DET
ejpam-6225	1244	7	extension	extension	NOUN
ejpam-6225	1244	8	to	to	ADP
ejpam-6225	1244	9	n	n	CCONJ
ejpam-6225	1244	10	-	-	PUNCT
ejpam-6225	1244	11	dimensional	dimensional	ADJ
ejpam-6225	1244	12	and	and	CCONJ
ejpam-6225	1244	13	probabilistic	probabilistic	ADJ
ejpam-6225	1244	14	spaces	space	NOUN
ejpam-6225	1244	15	,	,	PUNCT
ejpam-6225	1244	16	could	could	AUX
ejpam-6225	1244	17	also	also	ADV
ejpam-6225	1244	18	enhance	enhance	VERB
ejpam-6225	1244	19	the	the	DET
ejpam-6225	1244	20	versatility	versatility	NOUN
ejpam-6225	1244	21	and	and	CCONJ
ejpam-6225	1244	22	impact	impact	NOUN
ejpam-6225	1244	23	of	of	ADP
ejpam-6225	1244	24	this	this	DET
ejpam-6225	1244	25	innovative	innovative	ADJ
ejpam-6225	1244	26	framework	framework	NOUN
ejpam-6225	1244	27	across	across	ADP
ejpam-6225	1244	28	a	a	DET
ejpam-6225	1244	29	broader	broad	ADJ
ejpam-6225	1244	30	spectrum	spectrum	NOUN
ejpam-6225	1244	31	of	of	ADP
ejpam-6225	1244	32	scientific	scientific	ADJ
ejpam-6225	1244	33	and	and	CCONJ
ejpam-6225	1244	34	industrial	industrial	ADJ
ejpam-6225	1244	35	domains	domain	NOUN
ejpam-6225	1244	36	.	.	PUNCT
ejpam-6225	1245	1	conflicts	conflict	NOUN
ejpam-6225	1245	2	of	of	ADP
ejpam-6225	1245	3	interest	interest	NOUN
ejpam-6225	1245	4	:	:	PUNCT
ejpam-6225	1245	5	the	the	DET
ejpam-6225	1245	6	authors	author	NOUN
ejpam-6225	1245	7	declare	declare	VERB
ejpam-6225	1245	8	that	that	SCONJ
ejpam-6225	1245	9	there	there	PRON
ejpam-6225	1245	10	is	be	VERB
ejpam-6225	1245	11	no	no	DET
ejpam-6225	1245	12	conflict	conflict	NOUN
ejpam-6225	1245	13	of	of	ADP
ejpam-6225	1245	14	interest	interest	NOUN
ejpam-6225	1245	15	regarding	regard	VERB
ejpam-6225	1245	16	this	this	DET
ejpam-6225	1245	17	paper	paper	NOUN
ejpam-6225	1245	18	.	.	PUNCT
ejpam-6225	1246	1	data	datum	NOUN
ejpam-6225	1246	2	availability	availability	NOUN
ejpam-6225	1246	3	statement	statement	NOUN
ejpam-6225	1246	4	:	:	PUNCT
ejpam-6225	1246	5	the	the	DET
ejpam-6225	1246	6	data	data	NOUN
ejpam-6225	1246	7	sets	set	NOUN
ejpam-6225	1246	8	used	use	VERB
ejpam-6225	1246	9	and/or	and/or	CCONJ
ejpam-6225	1246	10	analyzed	analyze	VERB
ejpam-6225	1246	11	during	during	ADP
ejpam-6225	1246	12	the	the	DET
ejpam-6225	1246	13	current	current	ADJ
ejpam-6225	1246	14	study	study	NOUN
ejpam-6225	1246	15	are	be	AUX
ejpam-6225	1246	16	available	available	ADJ
ejpam-6225	1246	17	from	from	ADP
ejpam-6225	1246	18	the	the	DET
ejpam-6225	1246	19	corresponding	corresponding	ADJ
ejpam-6225	1246	20	author	author	NOUN
ejpam-6225	1246	21	upon	upon	SCONJ
ejpam-6225	1246	22	reasonable	reasonable	ADJ
ejpam-6225	1246	23	request	request	NOUN
ejpam-6225	1246	24	.	.	PUNCT
ejpam-6225	1247	1	references	reference	NOUN
ejpam-6225	1247	2	[	[	X
ejpam-6225	1247	3	1	1	NUM
ejpam-6225	1247	4	]	]	PUNCT
ejpam-6225	1247	5	zdzisław	zdzisław	ADJ
ejpam-6225	1247	6	pawlak	pawlak	ADJ
ejpam-6225	1247	7	.	.	PUNCT
ejpam-6225	1248	1	rough	rough	ADJ
ejpam-6225	1248	2	sets	set	NOUN
ejpam-6225	1248	3	.	.	PUNCT
ejpam-6225	1249	1	international	international	ADJ
ejpam-6225	1249	2	journal	journal	PROPN
ejpam-6225	1249	3	of	of	ADP
ejpam-6225	1249	4	computer	computer	PROPN
ejpam-6225	1249	5	&	&	CCONJ
ejpam-6225	1249	6	information	information	NOUN
ejpam-6225	1249	7	sciences	sciences	PROPN
ejpam-6225	1249	8	,	,	PUNCT
ejpam-6225	1249	9	11:341–356	11:341–356	NUM
ejpam-6225	1249	10	,	,	PUNCT
ejpam-6225	1249	11	1982	1982	NUM
ejpam-6225	1249	12	.	.	PUNCT
ejpam-6225	1250	1	[	[	X
ejpam-6225	1250	2	2	2	NUM
ejpam-6225	1250	3	]	]	X
ejpam-6225	1250	4	daniel	daniel	PROPN
ejpam-6225	1250	5	paternain	paternain	PROPN
ejpam-6225	1250	6	,	,	PUNCT
ejpam-6225	1250	7	aranzazu	aranzazu	ADJ
ejpam-6225	1250	8	jurio	jurio	PROPN
ejpam-6225	1250	9	,	,	PUNCT
ejpam-6225	1250	10	e	e	NOUN
ejpam-6225	1250	11	barrenechea	barrenechea	NOUN
ejpam-6225	1250	12	,	,	PUNCT
ejpam-6225	1250	13	h	h	NOUN
ejpam-6225	1250	14	bustince	bustince	NOUN
ejpam-6225	1250	15	,	,	PUNCT
ejpam-6225	1250	16	b	b	NOUN
ejpam-6225	1250	17	bedregal	bedregal	NOUN
ejpam-6225	1250	18	,	,	PUNCT
ejpam-6225	1250	19	and	and	CCONJ
ejpam-6225	1250	20	eulalia	eulalia	PROPN
ejpam-6225	1250	21	szmidt	szmidt	PROPN
ejpam-6225	1250	22	.	.	PUNCT
ejpam-6225	1251	1	an	an	DET
ejpam-6225	1251	2	alternative	alternative	NOUN
ejpam-6225	1251	3	to	to	ADP
ejpam-6225	1251	4	fuzzy	fuzzy	ADJ
ejpam-6225	1251	5	methods	method	NOUN
ejpam-6225	1251	6	in	in	ADP
ejpam-6225	1251	7	decision	decision	NOUN
ejpam-6225	1251	8	-	-	PUNCT
ejpam-6225	1251	9	making	make	VERB
ejpam-6225	1251	10	problems	problem	NOUN
ejpam-6225	1251	11	.	.	PUNCT
ejpam-6225	1252	1	expert	expert	NOUN
ejpam-6225	1252	2	systems	system	NOUN
ejpam-6225	1252	3	with	with	ADP
ejpam-6225	1252	4	applications	application	NOUN
ejpam-6225	1252	5	,	,	PUNCT
ejpam-6225	1252	6	39(9):7729–7735	39(9):7729–7735	NUM
ejpam-6225	1252	7	,	,	PUNCT
ejpam-6225	1252	8	2012	2012	NUM
ejpam-6225	1252	9	.	.	PUNCT
ejpam-6225	1253	1	[	[	X
ejpam-6225	1253	2	3	3	X
ejpam-6225	1253	3	]	]	X
ejpam-6225	1253	4	dmitriy	dmitriy	PROPN
ejpam-6225	1253	5	molodtsov	molodtsov	PROPN
ejpam-6225	1253	6	.	.	PUNCT
ejpam-6225	1254	1	soft	soft	ADJ
ejpam-6225	1254	2	set	set	VERB
ejpam-6225	1254	3	theory	theory	NOUN
ejpam-6225	1254	4	—	—	PUNCT
ejpam-6225	1254	5	first	first	ADJ
ejpam-6225	1254	6	results	result	NOUN
ejpam-6225	1254	7	.	.	PUNCT
ejpam-6225	1255	1	computers	computer	NOUN
ejpam-6225	1255	2	&	&	CCONJ
ejpam-6225	1255	3	mathematics	mathematics	PROPN
ejpam-6225	1255	4	with	with	ADP
ejpam-6225	1255	5	applications	application	NOUN
ejpam-6225	1255	6	,	,	PUNCT
ejpam-6225	1255	7	37(4	37(4	PROPN
ejpam-6225	1255	8	-	-	PUNCT
ejpam-6225	1255	9	5):19–31	5):19–31	NUM
ejpam-6225	1255	10	,	,	PUNCT
ejpam-6225	1255	11	1999	1999	NUM
ejpam-6225	1255	12	.	.	PUNCT
ejpam-6225	1256	1	[	[	X
ejpam-6225	1256	2	4	4	X
ejpam-6225	1256	3	]	]	PUNCT
ejpam-6225	1256	4	pk	pk	NOUN
ejpam-6225	1256	5	maji	maji	PROPN
ejpam-6225	1256	6	,	,	PUNCT
ejpam-6225	1256	7	akhil	akhil	PROPN
ejpam-6225	1256	8	ranjan	ranjan	PROPN
ejpam-6225	1256	9	roy	roy	PROPN
ejpam-6225	1256	10	,	,	PUNCT
ejpam-6225	1256	11	and	and	CCONJ
ejpam-6225	1256	12	ranjit	ranjit	PROPN
ejpam-6225	1256	13	biswas	biswas	PROPN
ejpam-6225	1256	14	.	.	PUNCT
ejpam-6225	1257	1	an	an	DET
ejpam-6225	1257	2	application	application	NOUN
ejpam-6225	1257	3	of	of	ADP
ejpam-6225	1257	4	soft	soft	ADJ
ejpam-6225	1257	5	sets	set	NOUN
ejpam-6225	1257	6	in	in	ADP
ejpam-6225	1257	7	a	a	DET
ejpam-6225	1257	8	decision	decision	NOUN
ejpam-6225	1257	9	making	make	VERB
ejpam-6225	1257	10	problem	problem	NOUN
ejpam-6225	1257	11	.	.	PUNCT
ejpam-6225	1258	1	computers	computer	NOUN
ejpam-6225	1258	2	&	&	CCONJ
ejpam-6225	1258	3	mathematics	mathematics	PROPN
ejpam-6225	1258	4	with	with	ADP
ejpam-6225	1258	5	applications	application	NOUN
ejpam-6225	1258	6	,	,	PUNCT
ejpam-6225	1258	7	44(8	44(8	NOUN
ejpam-6225	1258	8	-	-	PUNCT
ejpam-6225	1258	9	9):1077–1083	9):1077–1083	NOUN
ejpam-6225	1258	10	,	,	PUNCT
ejpam-6225	1258	11	2002	2002	NUM
ejpam-6225	1258	12	.	.	PUNCT
ejpam-6225	1259	1	[	[	X
ejpam-6225	1259	2	5	5	NUM
ejpam-6225	1259	3	]	]	X
ejpam-6225	1259	4	m	m	PROPN
ejpam-6225	1259	5	irfan	irfan	PROPN
ejpam-6225	1259	6	ali	ali	PROPN
ejpam-6225	1259	7	,	,	PUNCT
ejpam-6225	1259	8	feng	feng	PROPN
ejpam-6225	1259	9	feng	feng	PROPN
ejpam-6225	1259	10	,	,	PUNCT
ejpam-6225	1259	11	xiaoyan	xiaoyan	PROPN
ejpam-6225	1259	12	liu	liu	PROPN
ejpam-6225	1259	13	,	,	PUNCT
ejpam-6225	1259	14	won	win	VERB
ejpam-6225	1259	15	keun	keun	PROPN
ejpam-6225	1259	16	min	min	PROPN
ejpam-6225	1259	17	,	,	PUNCT
ejpam-6225	1259	18	and	and	CCONJ
ejpam-6225	1259	19	muhammad	muhammad	PROPN
ejpam-6225	1259	20	shabir	shabir	PROPN
ejpam-6225	1259	21	.	.	PUNCT
ejpam-6225	1260	1	on	on	ADP
ejpam-6225	1260	2	some	some	DET
ejpam-6225	1260	3	new	new	ADJ
ejpam-6225	1260	4	operations	operation	NOUN
ejpam-6225	1260	5	in	in	ADP
ejpam-6225	1260	6	soft	soft	ADJ
ejpam-6225	1260	7	set	set	NOUN
ejpam-6225	1260	8	theory	theory	NOUN
ejpam-6225	1260	9	.	.	PUNCT
ejpam-6225	1261	1	computers	computer	NOUN
ejpam-6225	1261	2	&	&	CCONJ
ejpam-6225	1261	3	mathematics	mathematics	PROPN
ejpam-6225	1261	4	with	with	ADP
ejpam-6225	1261	5	applications	application	NOUN
ejpam-6225	1261	6	,	,	PUNCT
ejpam-6225	1261	7	57(9):1547–1553	57(9):1547–1553	NUM
ejpam-6225	1261	8	,	,	PUNCT
ejpam-6225	1261	9	2009	2009	NUM
ejpam-6225	1261	10	.	.	PUNCT
ejpam-6225	1262	1	[	[	X
ejpam-6225	1262	2	6	6	NUM
ejpam-6225	1262	3	]	]	X
ejpam-6225	1262	4	serdar	serdar	PROPN
ejpam-6225	1262	5	enginoğlu	enginoğlu	PROPN
ejpam-6225	1262	6	,	,	PUNCT
ejpam-6225	1262	7	naim	naim	PROPN
ejpam-6225	1262	8	çağman	çağman	NOUN
ejpam-6225	1262	9	,	,	PUNCT
ejpam-6225	1262	10	serkan	serkan	ADJ
ejpam-6225	1262	11	karataş	karataş	NOUN
ejpam-6225	1262	12	,	,	PUNCT
ejpam-6225	1262	13	and	and	CCONJ
ejpam-6225	1262	14	tuğçe	tuğçe	NOUN
ejpam-6225	1262	15	aydin	aydin	NOUN
ejpam-6225	1262	16	.	.	PUNCT
ejpam-6225	1263	1	on	on	ADP
ejpam-6225	1263	2	soft	soft	ADJ
ejpam-6225	1263	3	topology	topology	NOUN
ejpam-6225	1263	4	.	.	PUNCT
ejpam-6225	1264	1	el	el	PROPN
ejpam-6225	1264	2	-	-	PUNCT
ejpam-6225	1264	3	cezeri	cezeri	PROPN
ejpam-6225	1264	4	,	,	PUNCT
ejpam-6225	1264	5	2(3):23–38	2(3):23–38	NUM
ejpam-6225	1264	6	,	,	PUNCT
ejpam-6225	1264	7	2015	2015	NUM
ejpam-6225	1264	8	.	.	PUNCT
ejpam-6225	1265	1	[	[	X
ejpam-6225	1265	2	7	7	X
ejpam-6225	1265	3	]	]	X
ejpam-6225	1265	4	fatia	fatia	NOUN
ejpam-6225	1265	5	fatimah	fatimah	PROPN
ejpam-6225	1265	6	,	,	PUNCT
ejpam-6225	1265	7	dedi	dedi	PROPN
ejpam-6225	1265	8	rosadi	rosadi	NOUN
ejpam-6225	1265	9	,	,	PUNCT
ejpam-6225	1265	10	rb	rb	PROPN
ejpam-6225	1265	11	fajriya	fajriya	PROPN
ejpam-6225	1265	12	hakim	hakim	PROPN
ejpam-6225	1265	13	,	,	PUNCT
ejpam-6225	1265	14	and	and	CCONJ
ejpam-6225	1265	15	josé	josé	PROPN
ejpam-6225	1265	16	carlos	carlos	PROPN
ejpam-6225	1265	17	r	r	PROPN
ejpam-6225	1265	18	alcantud	alcantud	PROPN
ejpam-6225	1265	19	.	.	PUNCT
ejpam-6225	1266	1	n	n	CCONJ
ejpam-6225	1266	2	-	-	PUNCT
ejpam-6225	1266	3	soft	soft	ADJ
ejpam-6225	1266	4	sets	set	NOUN
ejpam-6225	1266	5	and	and	CCONJ
ejpam-6225	1266	6	their	their	PRON
ejpam-6225	1266	7	decision	decision	NOUN
ejpam-6225	1266	8	making	make	VERB
ejpam-6225	1266	9	algorithms	algorithm	NOUN
ejpam-6225	1266	10	.	.	PUNCT
ejpam-6225	1267	1	soft	soft	ADJ
ejpam-6225	1267	2	computing	computing	NOUN
ejpam-6225	1267	3	,	,	PUNCT
ejpam-6225	1267	4	22:3829–3842	22:3829–3842	NUM
ejpam-6225	1267	5	,	,	PUNCT
ejpam-6225	1267	6	2018	2018	NUM
ejpam-6225	1267	7	.	.	PUNCT
ejpam-6225	1268	1	[	[	X
ejpam-6225	1268	2	8	8	X
ejpam-6225	1268	3	]	]	X
ejpam-6225	1268	4	muhammad	muhammad	PROPN
ejpam-6225	1268	5	akram	akram	PROPN
ejpam-6225	1268	6	,	,	PUNCT
ejpam-6225	1268	7	ghous	ghous	PROPN
ejpam-6225	1268	8	ali	ali	PROPN
ejpam-6225	1268	9	,	,	PUNCT
ejpam-6225	1268	10	josé	josé	PROPN
ejpam-6225	1268	11	cr	cr	PROPN
ejpam-6225	1268	12	alcantud	alcantud	PROPN
ejpam-6225	1268	13	,	,	PUNCT
ejpam-6225	1268	14	and	and	CCONJ
ejpam-6225	1268	15	fatia	fatia	PROPN
ejpam-6225	1268	16	fatimah	fatimah	PROPN
ejpam-6225	1268	17	.	.	PUNCT
ejpam-6225	1269	1	parameter	parameter	NOUN
ejpam-6225	1269	2	reductions	reduction	NOUN
ejpam-6225	1269	3	in	in	ADP
ejpam-6225	1269	4	n	n	CCONJ
ejpam-6225	1269	5	-	-	PUNCT
ejpam-6225	1269	6	soft	soft	ADJ
ejpam-6225	1269	7	sets	set	NOUN
ejpam-6225	1269	8	and	and	CCONJ
ejpam-6225	1269	9	their	their	PRON
ejpam-6225	1269	10	applications	application	NOUN
ejpam-6225	1269	11	in	in	ADP
ejpam-6225	1269	12	decision	decision	NOUN
ejpam-6225	1269	13	-	-	PUNCT
ejpam-6225	1269	14	making	making	NOUN
ejpam-6225	1269	15	.	.	PUNCT
ejpam-6225	1270	1	expert	expert	NOUN
ejpam-6225	1270	2	systems	system	NOUN
ejpam-6225	1270	3	,	,	PUNCT
ejpam-6225	1270	4	38(1):e12601	38(1):e12601	NOUN
ejpam-6225	1270	5	,	,	PUNCT
ejpam-6225	1270	6	2021	2021	NUM
ejpam-6225	1270	7	.	.	PUNCT
ejpam-6225	1271	1	[	[	X
ejpam-6225	1271	2	9	9	NUM
ejpam-6225	1271	3	]	]	X
ejpam-6225	1271	4	rana	rana	PROPN
ejpam-6225	1271	5	muhammad	muhammad	PROPN
ejpam-6225	1271	6	zulqarnain	zulqarnain	PROPN
ejpam-6225	1271	7	,	,	PUNCT
ejpam-6225	1271	8	harish	harish	PROPN
ejpam-6225	1271	9	garg	garg	PROPN
ejpam-6225	1271	10	,	,	PUNCT
ejpam-6225	1271	11	imran	imran	PROPN
ejpam-6225	1271	12	siddique	siddique	PROPN
ejpam-6225	1271	13	,	,	PUNCT
ejpam-6225	1271	14	rifaqat	rifaqat	PROPN
ejpam-6225	1271	15	ali	ali	PROPN
ejpam-6225	1271	16	,	,	PUNCT
ejpam-6225	1271	17	abdelaziz	abdelaziz	PROPN
ejpam-6225	1271	18	alsubie	alsubie	PROPN
ejpam-6225	1271	19	,	,	PUNCT
ejpam-6225	1271	20	nawaf	nawaf	NOUN
ejpam-6225	1271	21	n	n	PRON
ejpam-6225	1271	22	hamadneh	hamadneh	NOUN
ejpam-6225	1271	23	,	,	PUNCT
ejpam-6225	1271	24	and	and	CCONJ
ejpam-6225	1271	25	ilyas	ilyas	PROPN
ejpam-6225	1271	26	khan	khan	PROPN
ejpam-6225	1271	27	.	.	PUNCT
ejpam-6225	1272	1	algorithms	algorithm	NOUN
ejpam-6225	1272	2	for	for	ADP
ejpam-6225	1272	3	a	a	DET
ejpam-6225	1272	4	generalized	generalized	ADJ
ejpam-6225	1272	5	multipolar	multipolar	ADJ
ejpam-6225	1272	6	neutrosophic	neutrosophic	ADJ
ejpam-6225	1272	7	soft	soft	ADJ
ejpam-6225	1272	8	set	set	NOUN
ejpam-6225	1272	9	with	with	ADP
ejpam-6225	1272	10	information	information	NOUN
ejpam-6225	1272	11	measures	measure	NOUN
ejpam-6225	1272	12	to	to	PART
ejpam-6225	1272	13	solve	solve	VERB
ejpam-6225	1272	14	medical	medical	ADJ
ejpam-6225	1272	15	diagnoses	diagnosis	NOUN
ejpam-6225	1272	16	and	and	CCONJ
ejpam-6225	1272	17	decision	decision	NOUN
ejpam-6225	1272	18	-	-	PUNCT
ejpam-6225	1272	19	making	make	VERB
ejpam-6225	1272	20	problems	problem	NOUN
ejpam-6225	1272	21	.	.	PUNCT
ejpam-6225	1273	1	journal	journal	NOUN
ejpam-6225	1273	2	of	of	ADP
ejpam-6225	1273	3	mathematics	mathematics	PROPN
ejpam-6225	1273	4	,	,	PUNCT
ejpam-6225	1273	5	2021(1):6654657	2021(1):6654657	NOUN
ejpam-6225	1273	6	,	,	PUNCT
ejpam-6225	1273	7	2021	2021	NUM
ejpam-6225	1273	8	.	.	PUNCT
ejpam-6225	1274	1	[	[	X
ejpam-6225	1274	2	10	10	NUM
ejpam-6225	1274	3	]	]	X
ejpam-6225	1274	4	tareq	tareq	PROPN
ejpam-6225	1274	5	m	m	PROPN
ejpam-6225	1274	6	al	al	PROPN
ejpam-6225	1274	7	-	-	PUNCT
ejpam-6225	1274	8	shami	shami	PROPN
ejpam-6225	1274	9	,	,	PUNCT
ejpam-6225	1274	10	ljubiša	ljubiša	PROPN
ejpam-6225	1274	11	dr	dr	PROPN
ejpam-6225	1274	12	kočinac	kočinac	PROPN
ejpam-6225	1274	13	,	,	PUNCT
ejpam-6225	1274	14	and	and	CCONJ
ejpam-6225	1274	15	baravan	baravan	VERB
ejpam-6225	1274	16	a	a	DET
ejpam-6225	1274	17	asaad	asaad	NOUN
ejpam-6225	1274	18	.	.	PUNCT
ejpam-6225	1275	1	sum	sum	NOUN
ejpam-6225	1275	2	of	of	ADP
ejpam-6225	1275	3	soft	soft	ADJ
ejpam-6225	1275	4	topological	topological	ADJ
ejpam-6225	1275	5	spaces	space	NOUN
ejpam-6225	1275	6	.	.	PUNCT
ejpam-6225	1276	1	mathematics	mathematic	NOUN
ejpam-6225	1276	2	,	,	PUNCT
ejpam-6225	1276	3	8(6):990	8(6):990	NUM
ejpam-6225	1276	4	,	,	PUNCT
ejpam-6225	1276	5	2020	2020	NUM
ejpam-6225	1276	6	.	.	PUNCT
ejpam-6225	1277	1	[	[	X
ejpam-6225	1277	2	11	11	NUM
ejpam-6225	1277	3	]	]	X
ejpam-6225	1277	4	josé	josé	PROPN
ejpam-6225	1277	5	carlos	carlos	PROPN
ejpam-6225	1277	6	r	r	PROPN
ejpam-6225	1277	7	alcantud	alcantud	PROPN
ejpam-6225	1277	8	and	and	CCONJ
ejpam-6225	1277	9	gustavo	gustavo	PROPN
ejpam-6225	1277	10	santos	santos	PROPN
ejpam-6225	1277	11	-	-	PUNCT
ejpam-6225	1277	12	garcía	garcía	NOUN
ejpam-6225	1277	13	.	.	PUNCT
ejpam-6225	1278	1	a	a	DET
ejpam-6225	1278	2	new	new	ADJ
ejpam-6225	1278	3	criterion	criterion	NOUN
ejpam-6225	1278	4	for	for	ADP
ejpam-6225	1278	5	soft	soft	ADJ
ejpam-6225	1278	6	set	set	NOUN
ejpam-6225	1278	7	based	base	VERB
ejpam-6225	1278	8	d.	d.	PROPN
ejpam-6225	1278	9	shi	shi	PROPN
ejpam-6225	1278	10	et	et	PROPN
ejpam-6225	1278	11	al	al	PROPN
ejpam-6225	1278	12	.	.	PUNCT
ejpam-6225	1278	13	/	/	SYM
ejpam-6225	1278	14	eur	eur	PROPN
ejpam-6225	1278	15	.	.	PUNCT
ejpam-6225	1279	1	j.	j.	PROPN
ejpam-6225	1279	2	pure	pure	PROPN
ejpam-6225	1279	3	appl	appl	PROPN
ejpam-6225	1279	4	.	.	PROPN
ejpam-6225	1279	5	math	math	PROPN
ejpam-6225	1279	6	,	,	PUNCT
ejpam-6225	1279	7	18	18	NUM
ejpam-6225	1279	8	(	(	PUNCT
ejpam-6225	1279	9	4	4	NUM
ejpam-6225	1279	10	)	)	PUNCT
ejpam-6225	1279	11	(	(	PUNCT
ejpam-6225	1279	12	2025	2025	NUM
ejpam-6225	1279	13	)	)	PUNCT
ejpam-6225	1279	14	,	,	PUNCT
ejpam-6225	1279	15	6225	6225	NUM
ejpam-6225	1279	16	35	35	NUM
ejpam-6225	1279	17	of	of	ADP
ejpam-6225	1279	18	36	36	NUM
ejpam-6225	1279	19	decision	decision	NOUN
ejpam-6225	1279	20	making	make	VERB
ejpam-6225	1279	21	problems	problem	NOUN
ejpam-6225	1279	22	under	under	ADP
ejpam-6225	1279	23	incomplete	incomplete	ADJ
ejpam-6225	1279	24	information	information	NOUN
ejpam-6225	1279	25	.	.	PUNCT
ejpam-6225	1280	1	international	international	ADJ
ejpam-6225	1280	2	journal	journal	PROPN
ejpam-6225	1280	3	of	of	ADP
ejpam-6225	1280	4	computational	computational	ADJ
ejpam-6225	1280	5	intelligence	intelligence	NOUN
ejpam-6225	1280	6	systems	system	NOUN
ejpam-6225	1280	7	,	,	PUNCT
ejpam-6225	1280	8	10(1):394–404	10(1):394–404	PROPN
ejpam-6225	1280	9	,	,	PUNCT
ejpam-6225	1280	10	2017	2017	NUM
ejpam-6225	1280	11	.	.	PUNCT
ejpam-6225	1281	1	[	[	X
ejpam-6225	1281	2	12	12	NUM
ejpam-6225	1281	3	]	]	X
ejpam-6225	1281	4	kemal	kemal	PROPN
ejpam-6225	1281	5	taşköprü	taşköprü	PROPN
ejpam-6225	1281	6	and	and	CCONJ
ejpam-6225	1281	7	elif	elif	VERB
ejpam-6225	1281	8	karaköse	karaköse	NOUN
ejpam-6225	1281	9	.	.	PUNCT
ejpam-6225	1282	1	a	a	DET
ejpam-6225	1282	2	soft	soft	ADJ
ejpam-6225	1282	3	set	set	NOUN
ejpam-6225	1282	4	approach	approach	NOUN
ejpam-6225	1282	5	to	to	ADP
ejpam-6225	1282	6	relations	relation	NOUN
ejpam-6225	1282	7	and	and	CCONJ
ejpam-6225	1282	8	its	its	PRON
ejpam-6225	1282	9	application	application	NOUN
ejpam-6225	1282	10	to	to	ADP
ejpam-6225	1282	11	decision	decision	NOUN
ejpam-6225	1282	12	making	making	NOUN
ejpam-6225	1282	13	.	.	PUNCT
ejpam-6225	1283	1	mathematical	mathematical	ADJ
ejpam-6225	1283	2	sciences	science	NOUN
ejpam-6225	1283	3	and	and	CCONJ
ejpam-6225	1283	4	applications	application	NOUN
ejpam-6225	1283	5	e	e	NOUN
ejpam-6225	1283	6	-	-	NOUN
ejpam-6225	1283	7	notes	note	NOUN
ejpam-6225	1283	8	,	,	PUNCT
ejpam-6225	1283	9	11(1):1–13	11(1):1–13	NUM
ejpam-6225	1283	10	,	,	PUNCT
ejpam-6225	1283	11	2023	2023	NUM
ejpam-6225	1283	12	.	.	PUNCT
ejpam-6225	1284	1	[	[	X
ejpam-6225	1284	2	13	13	NUM
ejpam-6225	1284	3	]	]	X
ejpam-6225	1284	4	feng	feng	PROPN
ejpam-6225	1284	5	feng	feng	PROPN
ejpam-6225	1284	6	.	.	PUNCT
ejpam-6225	1285	1	soft	soft	ADJ
ejpam-6225	1285	2	rough	rough	ADJ
ejpam-6225	1285	3	sets	set	NOUN
ejpam-6225	1285	4	applied	apply	VERB
ejpam-6225	1285	5	to	to	ADP
ejpam-6225	1285	6	multicriteria	multicriteria	PROPN
ejpam-6225	1285	7	group	group	NOUN
ejpam-6225	1285	8	decision	decision	NOUN
ejpam-6225	1285	9	making	making	NOUN
ejpam-6225	1285	10	.	.	PUNCT
ejpam-6225	1286	1	annals	annal	NOUN
ejpam-6225	1286	2	of	of	ADP
ejpam-6225	1286	3	fuzzy	fuzzy	ADJ
ejpam-6225	1286	4	mathematics	mathematic	NOUN
ejpam-6225	1286	5	and	and	CCONJ
ejpam-6225	1286	6	informatics	informatic	NOUN
ejpam-6225	1286	7	,	,	PUNCT
ejpam-6225	1286	8	2(1):69–80	2(1):69–80	NUM
ejpam-6225	1286	9	,	,	PUNCT
ejpam-6225	1286	10	2011	2011	NUM
ejpam-6225	1286	11	.	.	PUNCT
ejpam-6225	1287	1	[	[	X
ejpam-6225	1287	2	14	14	NUM
ejpam-6225	1287	3	]	]	PUNCT
ejpam-6225	1287	4	shawkat	shawkat	PROPN
ejpam-6225	1287	5	alkhazaleh	alkhazaleh	PROPN
ejpam-6225	1287	6	and	and	CCONJ
ejpam-6225	1287	7	emad	emad	PROPN
ejpam-6225	1287	8	a	a	DET
ejpam-6225	1287	9	marei	marei	NOUN
ejpam-6225	1287	10	.	.	PUNCT
ejpam-6225	1288	1	new	new	ADJ
ejpam-6225	1288	2	soft	soft	ADJ
ejpam-6225	1288	3	rough	rough	ADJ
ejpam-6225	1288	4	set	set	NOUN
ejpam-6225	1288	5	approximations	approximation	NOUN
ejpam-6225	1288	6	.	.	PUNCT
ejpam-6225	1289	1	international	international	ADJ
ejpam-6225	1289	2	journal	journal	NOUN
ejpam-6225	1289	3	of	of	ADP
ejpam-6225	1289	4	fuzzy	fuzzy	ADJ
ejpam-6225	1289	5	logic	logic	NOUN
ejpam-6225	1289	6	and	and	CCONJ
ejpam-6225	1289	7	intelligent	intelligent	ADJ
ejpam-6225	1289	8	systems	system	NOUN
ejpam-6225	1289	9	,	,	PUNCT
ejpam-6225	1289	10	21(2):123–134	21(2):123–134	PROPN
ejpam-6225	1289	11	,	,	PUNCT
ejpam-6225	1289	12	2021	2021	NUM
ejpam-6225	1289	13	.	.	PUNCT
ejpam-6225	1290	1	[	[	X
ejpam-6225	1290	2	15	15	NUM
ejpam-6225	1290	3	]	]	X
ejpam-6225	1290	4	dragan	dragan	NOUN
ejpam-6225	1290	5	janković	janković	NOUN
ejpam-6225	1290	6	and	and	CCONJ
ejpam-6225	1290	7	tr	tr	VERB
ejpam-6225	1290	8	hamlett	hamlett	PROPN
ejpam-6225	1290	9	.	.	PUNCT
ejpam-6225	1291	1	new	new	ADJ
ejpam-6225	1291	2	topologies	topology	NOUN
ejpam-6225	1291	3	from	from	ADP
ejpam-6225	1291	4	old	old	ADJ
ejpam-6225	1291	5	via	via	ADP
ejpam-6225	1291	6	ideals	ideal	NOUN
ejpam-6225	1291	7	.	.	PUNCT
ejpam-6225	1292	1	the	the	DET
ejpam-6225	1292	2	american	american	PROPN
ejpam-6225	1292	3	mathematical	mathematical	PROPN
ejpam-6225	1292	4	monthly	monthly	PROPN
ejpam-6225	1292	5	,	,	PUNCT
ejpam-6225	1292	6	97(4):295–310	97(4):295–310	PROPN
ejpam-6225	1292	7	,	,	PUNCT
ejpam-6225	1292	8	1990	1990	NUM
ejpam-6225	1292	9	.	.	PUNCT
ejpam-6225	1293	1	[	[	X
ejpam-6225	1293	2	16	16	NUM
ejpam-6225	1293	3	]	]	X
ejpam-6225	1293	4	ali	ali	PROPN
ejpam-6225	1293	5	kandil	kandil	PROPN
ejpam-6225	1293	6	,	,	PUNCT
ejpam-6225	1293	7	sobhy	sobhy	NOUN
ejpam-6225	1293	8	a	a	DET
ejpam-6225	1293	9	el	el	PROPN
ejpam-6225	1293	10	-	-	PUNCT
ejpam-6225	1293	11	sheikh	sheikh	PROPN
ejpam-6225	1293	12	,	,	PUNCT
ejpam-6225	1293	13	mona	mona	PROPN
ejpam-6225	1293	14	hosny	hosny	PROPN
ejpam-6225	1293	15	,	,	PUNCT
ejpam-6225	1293	16	and	and	CCONJ
ejpam-6225	1293	17	mahmoud	mahmoud	PROPN
ejpam-6225	1293	18	raafat	raafat	NOUN
ejpam-6225	1293	19	.	.	PUNCT
ejpam-6225	1294	1	bi	bi	ADJ
ejpam-6225	1294	2	-	-	ADJ
ejpam-6225	1294	3	ideal	ideal	ADJ
ejpam-6225	1294	4	approximation	approximation	NOUN
ejpam-6225	1294	5	spaces	space	NOUN
ejpam-6225	1294	6	and	and	CCONJ
ejpam-6225	1294	7	their	their	PRON
ejpam-6225	1294	8	applications	application	NOUN
ejpam-6225	1294	9	.	.	PUNCT
ejpam-6225	1295	1	soft	soft	ADJ
ejpam-6225	1295	2	computing	computing	NOUN
ejpam-6225	1295	3	,	,	PUNCT
ejpam-6225	1295	4	24:12989–13001	24:12989–13001	NUM
ejpam-6225	1295	5	,	,	PUNCT
ejpam-6225	1295	6	2020	2020	NUM
ejpam-6225	1295	7	.	.	PUNCT
ejpam-6225	1296	1	[	[	X
ejpam-6225	1296	2	17	17	NUM
ejpam-6225	1296	3	]	]	X
ejpam-6225	1296	4	tareq	tareq	PROPN
ejpam-6225	1296	5	m	m	PROPN
ejpam-6225	1296	6	al	al	PROPN
ejpam-6225	1296	7	-	-	PUNCT
ejpam-6225	1296	8	shami	shami	PROPN
ejpam-6225	1296	9	and	and	CCONJ
ejpam-6225	1296	10	abdelwaheb	abdelwaheb	PROPN
ejpam-6225	1296	11	mhemdi	mhemdi	PROPN
ejpam-6225	1296	12	.	.	PUNCT
ejpam-6225	1297	1	approximation	approximation	NOUN
ejpam-6225	1297	2	operators	operator	NOUN
ejpam-6225	1297	3	and	and	CCONJ
ejpam-6225	1297	4	accuracy	accuracy	NOUN
ejpam-6225	1297	5	measures	measure	NOUN
ejpam-6225	1297	6	of	of	ADP
ejpam-6225	1297	7	rough	rough	ADJ
ejpam-6225	1297	8	sets	set	NOUN
ejpam-6225	1297	9	from	from	ADP
ejpam-6225	1297	10	an	an	DET
ejpam-6225	1297	11	infra	infra	NOUN
ejpam-6225	1297	12	-	-	PUNCT
ejpam-6225	1297	13	topology	topology	NOUN
ejpam-6225	1297	14	view	view	NOUN
ejpam-6225	1297	15	.	.	PUNCT
ejpam-6225	1298	1	soft	soft	ADJ
ejpam-6225	1298	2	computing	computing	NOUN
ejpam-6225	1298	3	,	,	PUNCT
ejpam-6225	1298	4	27(3):1317–1330	27(3):1317–1330	NUM
ejpam-6225	1298	5	,	,	PUNCT
ejpam-6225	1298	6	2023	2023	NUM
ejpam-6225	1298	7	.	.	PUNCT
ejpam-6225	1299	1	[	[	X
ejpam-6225	1299	2	18	18	NUM
ejpam-6225	1299	3	]	]	X
ejpam-6225	1299	4	tareq	tareq	PROPN
ejpam-6225	1299	5	m	m	PROPN
ejpam-6225	1299	6	al	al	PROPN
ejpam-6225	1299	7	-	-	PUNCT
ejpam-6225	1299	8	shami	shami	PROPN
ejpam-6225	1299	9	and	and	CCONJ
ejpam-6225	1299	10	mona	mona	PROPN
ejpam-6225	1299	11	hosny	hosny	PROPN
ejpam-6225	1299	12	.	.	PUNCT
ejpam-6225	1300	1	improvement	improvement	NOUN
ejpam-6225	1300	2	of	of	ADP
ejpam-6225	1300	3	approximation	approximation	NOUN
ejpam-6225	1300	4	spaces	space	NOUN
ejpam-6225	1300	5	using	use	VERB
ejpam-6225	1300	6	maximal	maximal	ADJ
ejpam-6225	1300	7	left	leave	VERB
ejpam-6225	1300	8	neighborhoods	neighborhood	NOUN
ejpam-6225	1300	9	and	and	CCONJ
ejpam-6225	1300	10	ideals	ideal	NOUN
ejpam-6225	1300	11	.	.	PUNCT
ejpam-6225	1301	1	ieee	ieee	NOUN
ejpam-6225	1301	2	access	access	NOUN
ejpam-6225	1301	3	,	,	PUNCT
ejpam-6225	1301	4	10:79379–79393	10:79379–79393	NUM
ejpam-6225	1301	5	,	,	PUNCT
ejpam-6225	1301	6	2022	2022	NUM
ejpam-6225	1301	7	.	.	PUNCT
ejpam-6225	1302	1	[	[	X
ejpam-6225	1302	2	19	19	NUM
ejpam-6225	1302	3	]	]	X
ejpam-6225	1302	4	m	m	PROPN
ejpam-6225	1302	5	hosny	hosny	PROPN
ejpam-6225	1302	6	,	,	PUNCT
ejpam-6225	1302	7	tareq	tareq	PROPN
ejpam-6225	1302	8	m	m	PROPN
ejpam-6225	1302	9	al	al	PROPN
ejpam-6225	1302	10	-	-	PUNCT
ejpam-6225	1302	11	shami	shami	PROPN
ejpam-6225	1302	12	,	,	PUNCT
ejpam-6225	1302	13	and	and	CCONJ
ejpam-6225	1302	14	abdelwaheb	abdelwaheb	PROPN
ejpam-6225	1302	15	mhemdi	mhemdi	PROPN
ejpam-6225	1302	16	.	.	PUNCT
ejpam-6225	1303	1	novel	novel	ADJ
ejpam-6225	1303	2	approaches	approach	NOUN
ejpam-6225	1303	3	of	of	ADP
ejpam-6225	1303	4	generalized	generalized	ADJ
ejpam-6225	1303	5	rough	rough	ADJ
ejpam-6225	1303	6	approximation	approximation	NOUN
ejpam-6225	1303	7	spaces	space	NOUN
ejpam-6225	1303	8	inspired	inspire	VERB
ejpam-6225	1303	9	by	by	ADP
ejpam-6225	1303	10	maximal	maximal	ADJ
ejpam-6225	1303	11	neighbourhoods	neighbourhood	NOUN
ejpam-6225	1303	12	and	and	CCONJ
ejpam-6225	1303	13	ideals	ideal	NOUN
ejpam-6225	1303	14	.	.	PUNCT
ejpam-6225	1304	1	alexandria	alexandria	PROPN
ejpam-6225	1304	2	engineering	engineering	PROPN
ejpam-6225	1304	3	journal	journal	PROPN
ejpam-6225	1304	4	,	,	PUNCT
ejpam-6225	1304	5	69:497–520	69:497–520	PROPN
ejpam-6225	1304	6	,	,	PUNCT
ejpam-6225	1304	7	2023	2023	NUM
ejpam-6225	1304	8	.	.	PUNCT
ejpam-6225	1305	1	[	[	X
ejpam-6225	1305	2	20	20	NUM
ejpam-6225	1305	3	]	]	PUNCT
ejpam-6225	1305	4	rehab	rehab	NOUN
ejpam-6225	1305	5	alharbi	alharbi	NOUN
ejpam-6225	1305	6	,	,	PUNCT
ejpam-6225	1305	7	se	se	X
ejpam-6225	1305	8	abbas	abbas	PROPN
ejpam-6225	1305	9	,	,	PUNCT
ejpam-6225	1305	10	e	e	PROPN
ejpam-6225	1305	11	el	el	PROPN
ejpam-6225	1305	12	-	-	PROPN
ejpam-6225	1305	13	sanowsy	sanowsy	PROPN
ejpam-6225	1305	14	,	,	PUNCT
ejpam-6225	1305	15	hm	hm	INTJ
ejpam-6225	1305	16	khiamy	khiamy	PROPN
ejpam-6225	1305	17	,	,	PUNCT
ejpam-6225	1305	18	ka	ka	PROPN
ejpam-6225	1305	19	aldwoah	aldwoah	PROPN
ejpam-6225	1305	20	,	,	PUNCT
ejpam-6225	1305	21	and	and	CCONJ
ejpam-6225	1305	22	ismail	ismail	PROPN
ejpam-6225	1305	23	ibedou	ibedou	PROPN
ejpam-6225	1305	24	.	.	PUNCT
ejpam-6225	1306	1	new	new	ADJ
ejpam-6225	1306	2	soft	soft	ADJ
ejpam-6225	1306	3	rough	rough	ADJ
ejpam-6225	1306	4	approximations	approximation	NOUN
ejpam-6225	1306	5	via	via	ADP
ejpam-6225	1306	6	ideals	ideal	NOUN
ejpam-6225	1306	7	and	and	CCONJ
ejpam-6225	1306	8	its	its	PRON
ejpam-6225	1306	9	applications	application	NOUN
ejpam-6225	1306	10	.	.	PUNCT
ejpam-6225	1307	1	aims	aim	VERB
ejpam-6225	1307	2	mathematics	mathematic	NOUN
ejpam-6225	1307	3	,	,	PUNCT
ejpam-6225	1307	4	9(4):9884–9910	9(4):9884–9910	PROPN
ejpam-6225	1307	5	,	,	PUNCT
ejpam-6225	1307	6	2024	2024	NUM
ejpam-6225	1307	7	.	.	PUNCT
ejpam-6225	1308	1	[	[	X
ejpam-6225	1308	2	21	21	NUM
ejpam-6225	1308	3	]	]	X
ejpam-6225	1308	4	muhammad	muhammad	PROPN
ejpam-6225	1308	5	shabir	shabir	PROPN
ejpam-6225	1308	6	and	and	CCONJ
ejpam-6225	1308	7	munazza	munazza	PROPN
ejpam-6225	1308	8	naz	naz	PROPN
ejpam-6225	1308	9	.	.	PUNCT
ejpam-6225	1309	1	on	on	ADP
ejpam-6225	1309	2	bipolar	bipolar	ADJ
ejpam-6225	1309	3	soft	soft	ADJ
ejpam-6225	1309	4	sets	set	NOUN
ejpam-6225	1309	5	.	.	PUNCT
ejpam-6225	1310	1	arxiv	arxiv	PROPN
ejpam-6225	1310	2	preprint	preprint	NOUN
ejpam-6225	1310	3	arxiv:1303.1344	arxiv:1303.1344	NOUN
ejpam-6225	1310	4	,	,	PUNCT
ejpam-6225	1310	5	2013	2013	NUM
ejpam-6225	1310	6	.	.	PUNCT
ejpam-6225	1311	1	[	[	X
ejpam-6225	1311	2	22	22	NUM
ejpam-6225	1311	3	]	]	X
ejpam-6225	1311	4	keon	keon	PROPN
ejpam-6225	1311	5	myung	myung	PROPN
ejpam-6225	1311	6	lee	lee	PROPN
ejpam-6225	1311	7	.	.	PUNCT
ejpam-6225	1312	1	bipolar	bipolar	ADJ
ejpam-6225	1312	2	-	-	PUNCT
ejpam-6225	1312	3	valued	value	VERB
ejpam-6225	1312	4	fuzzy	fuzzy	ADJ
ejpam-6225	1312	5	sets	set	NOUN
ejpam-6225	1312	6	and	and	CCONJ
ejpam-6225	1312	7	their	their	PRON
ejpam-6225	1312	8	operations	operation	NOUN
ejpam-6225	1312	9	.	.	PUNCT
ejpam-6225	1313	1	in	in	ADP
ejpam-6225	1313	2	proc	proc	PROPN
ejpam-6225	1313	3	.	.	PUNCT
ejpam-6225	1314	1	int	int	NOUN
ejpam-6225	1314	2	.	.	PUNCT
ejpam-6225	1314	3	conf	conf	PROPN
ejpam-6225	1314	4	.	.	PUNCT
ejpam-6225	1315	1	on	on	ADP
ejpam-6225	1315	2	intelligent	intelligent	ADJ
ejpam-6225	1315	3	technologies	technology	NOUN
ejpam-6225	1315	4	,	,	PUNCT
ejpam-6225	1315	5	bangkok	bangkok	PROPN
ejpam-6225	1315	6	,	,	PUNCT
ejpam-6225	1315	7	thailand	thailand	PROPN
ejpam-6225	1315	8	,	,	PUNCT
ejpam-6225	1315	9	2000	2000	NUM
ejpam-6225	1315	10	,	,	PUNCT
ejpam-6225	1315	11	pages	page	NOUN
ejpam-6225	1315	12	307–312	307–312	NUM
ejpam-6225	1315	13	,	,	PUNCT
ejpam-6225	1315	14	2000	2000	NUM
ejpam-6225	1315	15	.	.	PUNCT
ejpam-6225	1316	1	[	[	X
ejpam-6225	1316	2	23	23	NUM
ejpam-6225	1316	3	]	]	X
ejpam-6225	1316	4	ghous	ghous	PROPN
ejpam-6225	1316	5	ali	ali	PROPN
ejpam-6225	1316	6	,	,	PUNCT
ejpam-6225	1316	7	muhammad	muhammad	PROPN
ejpam-6225	1316	8	akram	akram	PROPN
ejpam-6225	1316	9	,	,	PUNCT
ejpam-6225	1316	10	and	and	CCONJ
ejpam-6225	1316	11	josé	josé	PROPN
ejpam-6225	1316	12	carlos	carlos	PROPN
ejpam-6225	1316	13	r	r	PROPN
ejpam-6225	1316	14	alcantud	alcantud	PROPN
ejpam-6225	1316	15	.	.	PUNCT
ejpam-6225	1316	16	attributes	attribute	VERB
ejpam-6225	1316	17	reductions	reduction	NOUN
ejpam-6225	1316	18	of	of	ADP
ejpam-6225	1316	19	bipolar	bipolar	ADJ
ejpam-6225	1316	20	fuzzy	fuzzy	ADJ
ejpam-6225	1316	21	relation	relation	NOUN
ejpam-6225	1316	22	decision	decision	NOUN
ejpam-6225	1316	23	systems	system	NOUN
ejpam-6225	1316	24	.	.	PUNCT
ejpam-6225	1317	1	neural	neural	ADJ
ejpam-6225	1317	2	computing	computing	NOUN
ejpam-6225	1317	3	and	and	CCONJ
ejpam-6225	1317	4	applications	application	NOUN
ejpam-6225	1317	5	,	,	PUNCT
ejpam-6225	1317	6	32(14):10051–10071	32(14):10051–10071	NUM
ejpam-6225	1317	7	,	,	PUNCT
ejpam-6225	1317	8	2020	2020	NUM
ejpam-6225	1317	9	.	.	PUNCT
ejpam-6225	1318	1	[	[	X
ejpam-6225	1318	2	24	24	NUM
ejpam-6225	1318	3	]	]	X
ejpam-6225	1318	4	abdallah	abdallah	PROPN
ejpam-6225	1318	5	al	al	PROPN
ejpam-6225	1318	6	-	-	PUNCT
ejpam-6225	1318	7	husban	husban	PROPN
ejpam-6225	1318	8	,	,	PUNCT
ejpam-6225	1318	9	ala	ala	PROPN
ejpam-6225	1318	10	amourah	amourah	PROPN
ejpam-6225	1318	11	,	,	PUNCT
ejpam-6225	1318	12	and	and	CCONJ
ejpam-6225	1319	1	jamil	jamil	PROPN
ejpam-6225	1319	2	j	j	PROPN
ejpam-6225	1319	3	jaber	jaber	PROPN
ejpam-6225	1319	4	.	.	PUNCT
ejpam-6225	1320	1	bipolar	bipolar	ADJ
ejpam-6225	1320	2	complex	complex	ADJ
ejpam-6225	1320	3	fuzzy	fuzzy	ADJ
ejpam-6225	1320	4	sets	set	NOUN
ejpam-6225	1320	5	and	and	CCONJ
ejpam-6225	1320	6	their	their	PRON
ejpam-6225	1320	7	properties	property	NOUN
ejpam-6225	1320	8	.	.	PUNCT
ejpam-6225	1321	1	italian	italian	ADJ
ejpam-6225	1321	2	journal	journal	NOUN
ejpam-6225	1321	3	of	of	ADP
ejpam-6225	1321	4	pure	pure	ADJ
ejpam-6225	1321	5	and	and	CCONJ
ejpam-6225	1321	6	applied	applied	ADJ
ejpam-6225	1321	7	mathematics	mathematic	NOUN
ejpam-6225	1321	8	,	,	PUNCT
ejpam-6225	1321	9	43:754–761	43:754–761	PROPN
ejpam-6225	1321	10	,	,	PUNCT
ejpam-6225	1321	11	2020	2020	NUM
ejpam-6225	1321	12	.	.	PUNCT
ejpam-6225	1322	1	[	[	X
ejpam-6225	1322	2	25	25	NUM
ejpam-6225	1322	3	]	]	PUNCT
ejpam-6225	1322	4	muhammad	muhammad	PROPN
ejpam-6225	1322	5	riaz	riaz	PROPN
ejpam-6225	1322	6	and	and	CCONJ
ejpam-6225	1322	7	syeda	syeda	PROPN
ejpam-6225	1322	8	tayyba	tayyba	PROPN
ejpam-6225	1322	9	tehrim	tehrim	NOUN
ejpam-6225	1322	10	.	.	PUNCT
ejpam-6225	1323	1	bipolar	bipolar	ADJ
ejpam-6225	1323	2	fuzzy	fuzzy	ADJ
ejpam-6225	1323	3	soft	soft	ADJ
ejpam-6225	1323	4	mappings	mapping	NOUN
ejpam-6225	1323	5	with	with	ADP
ejpam-6225	1323	6	application	application	NOUN
ejpam-6225	1323	7	to	to	ADP
ejpam-6225	1323	8	bipolar	bipolar	ADJ
ejpam-6225	1323	9	disorders	disorder	NOUN
ejpam-6225	1323	10	.	.	PUNCT
ejpam-6225	1324	1	international	international	ADJ
ejpam-6225	1324	2	journal	journal	NOUN
ejpam-6225	1324	3	of	of	ADP
ejpam-6225	1324	4	biomathematics	biomathematic	NOUN
ejpam-6225	1324	5	,	,	PUNCT
ejpam-6225	1324	6	12(07):1950080	12(07):1950080	NUM
ejpam-6225	1324	7	,	,	PUNCT
ejpam-6225	1324	8	2019	2019	NUM
ejpam-6225	1324	9	.	.	PUNCT
ejpam-6225	1325	1	[	[	X
ejpam-6225	1325	2	26	26	NUM
ejpam-6225	1325	3	]	]	X
ejpam-6225	1325	4	munazza	munazza	NOUN
ejpam-6225	1325	5	naz	naz	PROPN
ejpam-6225	1325	6	and	and	CCONJ
ejpam-6225	1325	7	muhammad	muhammad	PROPN
ejpam-6225	1325	8	shabir	shabir	PROPN
ejpam-6225	1325	9	.	.	PUNCT
ejpam-6225	1326	1	on	on	ADP
ejpam-6225	1326	2	fuzzy	fuzzy	ADJ
ejpam-6225	1326	3	bipolar	bipolar	ADJ
ejpam-6225	1326	4	soft	soft	ADJ
ejpam-6225	1326	5	sets	set	NOUN
ejpam-6225	1326	6	,	,	PUNCT
ejpam-6225	1326	7	their	their	PRON
ejpam-6225	1326	8	algebraic	algebraic	ADJ
ejpam-6225	1326	9	structures	structure	NOUN
ejpam-6225	1326	10	and	and	CCONJ
ejpam-6225	1326	11	applications	application	NOUN
ejpam-6225	1326	12	.	.	PUNCT
ejpam-6225	1327	1	journal	journal	NOUN
ejpam-6225	1327	2	of	of	ADP
ejpam-6225	1327	3	intelligent	intelligent	ADJ
ejpam-6225	1327	4	&	&	CCONJ
ejpam-6225	1327	5	fuzzy	fuzzy	ADJ
ejpam-6225	1327	6	systems	system	NOUN
ejpam-6225	1327	7	,	,	PUNCT
ejpam-6225	1327	8	26(4):1645–1656	26(4):1645–1656	NUM
ejpam-6225	1327	9	,	,	PUNCT
ejpam-6225	1327	10	2014	2014	NUM
ejpam-6225	1327	11	.	.	PUNCT
ejpam-6225	1328	1	[	[	X
ejpam-6225	1328	2	27	27	NUM
ejpam-6225	1328	3	]	]	X
ejpam-6225	1328	4	mumtaz	mumtaz	PROPN
ejpam-6225	1328	5	ali	ali	PROPN
ejpam-6225	1328	6	,	,	PUNCT
ejpam-6225	1328	7	le	le	PROPN
ejpam-6225	1328	8	hoang	hoang	PROPN
ejpam-6225	1328	9	son	son	PROPN
ejpam-6225	1328	10	,	,	PUNCT
ejpam-6225	1328	11	irfan	irfan	PROPN
ejpam-6225	1328	12	deli	deli	PROPN
ejpam-6225	1328	13	,	,	PUNCT
ejpam-6225	1328	14	and	and	CCONJ
ejpam-6225	1328	15	nguyen	nguyen	PROPN
ejpam-6225	1328	16	dang	dang	PROPN
ejpam-6225	1328	17	tien	tien	PROPN
ejpam-6225	1328	18	.	.	PUNCT
ejpam-6225	1329	1	bipolar	bipolar	ADJ
ejpam-6225	1329	2	neutrosophic	neutrosophic	ADJ
ejpam-6225	1329	3	soft	soft	ADJ
ejpam-6225	1329	4	sets	set	NOUN
ejpam-6225	1329	5	and	and	CCONJ
ejpam-6225	1329	6	applications	application	NOUN
ejpam-6225	1329	7	in	in	ADP
ejpam-6225	1329	8	decision	decision	NOUN
ejpam-6225	1329	9	making	making	NOUN
ejpam-6225	1329	10	.	.	PUNCT
ejpam-6225	1330	1	journal	journal	NOUN
ejpam-6225	1330	2	of	of	ADP
ejpam-6225	1330	3	intelligent	intelligent	ADJ
ejpam-6225	1330	4	&	&	CCONJ
ejpam-6225	1330	5	fuzzy	fuzzy	ADJ
ejpam-6225	1330	6	systems	system	NOUN
ejpam-6225	1330	7	,	,	PUNCT
ejpam-6225	1330	8	33(6):4077–4087	33(6):4077–4087	NUM
ejpam-6225	1330	9	,	,	PUNCT
ejpam-6225	1330	10	2017	2017	NUM
ejpam-6225	1330	11	.	.	PUNCT
ejpam-6225	1331	1	[	[	X
ejpam-6225	1331	2	28	28	NUM
ejpam-6225	1331	3	]	]	X
ejpam-6225	1331	4	jin	jin	PROPN
ejpam-6225	1331	5	-	-	PUNCT
ejpam-6225	1331	6	ying	ying	PROPN
ejpam-6225	1331	7	wang	wang	PROPN
ejpam-6225	1331	8	,	,	PUNCT
ejpam-6225	1331	9	yan	yan	PROPN
ejpam-6225	1331	10	-	-	PUNCT
ejpam-6225	1331	11	ping	ping	PROPN
ejpam-6225	1331	12	wang	wang	PROPN
ejpam-6225	1331	13	,	,	PUNCT
ejpam-6225	1331	14	and	and	CCONJ
ejpam-6225	1331	15	lei	lei	PROPN
ejpam-6225	1331	16	liu	liu	PROPN
ejpam-6225	1331	17	.	.	PUNCT
ejpam-6225	1332	1	hesitant	hesitant	ADJ
ejpam-6225	1332	2	bipolar	bipolar	ADV
ejpam-6225	1332	3	-	-	PUNCT
ejpam-6225	1332	4	valued	value	VERB
ejpam-6225	1332	5	fuzzy	fuzzy	ADJ
ejpam-6225	1332	6	soft	soft	ADJ
ejpam-6225	1332	7	sets	set	NOUN
ejpam-6225	1332	8	and	and	CCONJ
ejpam-6225	1332	9	their	their	PRON
ejpam-6225	1332	10	application	application	NOUN
ejpam-6225	1332	11	in	in	ADP
ejpam-6225	1332	12	decision	decision	NOUN
ejpam-6225	1332	13	making	making	NOUN
ejpam-6225	1332	14	.	.	PUNCT
ejpam-6225	1333	1	complexity	complexity	NOUN
ejpam-6225	1333	2	,	,	PUNCT
ejpam-6225	1333	3	2020(1):6496030	2020(1):6496030	NUM
ejpam-6225	1333	4	,	,	PUNCT
ejpam-6225	1333	5	2020	2020	NUM
ejpam-6225	1333	6	.	.	PUNCT
ejpam-6225	1334	1	[	[	X
ejpam-6225	1334	2	29	29	NUM
ejpam-6225	1334	3	]	]	X
ejpam-6225	1334	4	asghar	asghar	PROPN
ejpam-6225	1334	5	khan	khan	PROPN
ejpam-6225	1334	6	,	,	PUNCT
ejpam-6225	1334	7	fawad	fawad	PROPN
ejpam-6225	1334	8	hussain	hussain	PROPN
ejpam-6225	1334	9	,	,	PUNCT
ejpam-6225	1334	10	asmat	asmat	NOUN
ejpam-6225	1334	11	hadi	hadi	NOUN
ejpam-6225	1334	12	,	,	PUNCT
ejpam-6225	1334	13	and	and	CCONJ
ejpam-6225	1334	14	sajjad	sajjad	PROPN
ejpam-6225	1334	15	ahmad	ahmad	PROPN
ejpam-6225	1334	16	khan	khan	PROPN
ejpam-6225	1334	17	.	.	PUNCT
ejpam-6225	1335	1	a	a	DET
ejpam-6225	1335	2	decision	decision	NOUN
ejpam-6225	1335	3	making	make	VERB
ejpam-6225	1335	4	approach	approach	NOUN
ejpam-6225	1335	5	based	base	VERB
ejpam-6225	1335	6	on	on	ADP
ejpam-6225	1335	7	multi	multi	ADJ
ejpam-6225	1335	8	-	-	ADJ
ejpam-6225	1335	9	fuzzy	fuzzy	ADJ
ejpam-6225	1335	10	bipolar	bipolar	ADJ
ejpam-6225	1335	11	soft	soft	ADJ
ejpam-6225	1335	12	sets	set	NOUN
ejpam-6225	1335	13	.	.	PUNCT
ejpam-6225	1336	1	journal	journal	NOUN
ejpam-6225	1336	2	of	of	ADP
ejpam-6225	1336	3	intelligent	intelligent	ADJ
ejpam-6225	1336	4	&	&	CCONJ
ejpam-6225	1336	5	fuzzy	fuzzy	ADJ
ejpam-6225	1336	6	systems	system	NOUN
ejpam-6225	1336	7	,	,	PUNCT
ejpam-6225	1336	8	37(2):1879–1892	37(2):1879–1892	NUM
ejpam-6225	1336	9	,	,	PUNCT
ejpam-6225	1336	10	2019	2019	NUM
ejpam-6225	1336	11	.	.	PUNCT
ejpam-6225	1337	1	[	[	X
ejpam-6225	1337	2	30	30	NUM
ejpam-6225	1337	3	]	]	X
ejpam-6225	1337	4	muhammad	muhammad	PROPN
ejpam-6225	1337	5	akram	akram	PROPN
ejpam-6225	1337	6	,	,	PUNCT
ejpam-6225	1337	7	feng	feng	PROPN
ejpam-6225	1337	8	feng	feng	PROPN
ejpam-6225	1337	9	,	,	PUNCT
ejpam-6225	1337	10	arsham	arsham	PROPN
ejpam-6225	1337	11	borumand	borumand	PROPN
ejpam-6225	1337	12	saeid	saeid	PROPN
ejpam-6225	1337	13	,	,	PUNCT
ejpam-6225	1337	14	and	and	CCONJ
ejpam-6225	1337	15	v	v	ADP
ejpam-6225	1337	16	leoreanu	leoreanu	NOUN
ejpam-6225	1337	17	-	-	PUNCT
ejpam-6225	1337	18	fotea	fotea	NOUN
ejpam-6225	1337	19	.	.	PUNCT
ejpam-6225	1338	1	a	a	DET
ejpam-6225	1338	2	new	new	ADJ
ejpam-6225	1338	3	multiple	multiple	ADJ
ejpam-6225	1338	4	criteria	criterion	NOUN
ejpam-6225	1338	5	decision	decision	NOUN
ejpam-6225	1338	6	-	-	PUNCT
ejpam-6225	1338	7	making	make	VERB
ejpam-6225	1338	8	method	method	NOUN
ejpam-6225	1338	9	based	base	VERB
ejpam-6225	1338	10	on	on	ADP
ejpam-6225	1338	11	bipolar	bipolar	ADJ
ejpam-6225	1338	12	fuzzy	fuzzy	ADJ
ejpam-6225	1338	13	soft	soft	ADJ
ejpam-6225	1338	14	graphs	graph	NOUN
ejpam-6225	1338	15	.	.	PUNCT
ejpam-6225	1339	1	iranian	iranian	ADJ
ejpam-6225	1339	2	journal	journal	PROPN
ejpam-6225	1339	3	of	of	ADP
ejpam-6225	1339	4	fuzzy	fuzzy	ADJ
ejpam-6225	1339	5	systems	system	NOUN
ejpam-6225	1339	6	,	,	PUNCT
ejpam-6225	1339	7	15(4):73–92	15(4):73–92	NUM
ejpam-6225	1339	8	,	,	PUNCT
ejpam-6225	1339	9	2018	2018	NUM
ejpam-6225	1339	10	.	.	PUNCT
ejpam-6225	1340	1	[	[	X
ejpam-6225	1340	2	31	31	NUM
ejpam-6225	1340	3	]	]	X
ejpam-6225	1340	4	saima	saima	PROPN
ejpam-6225	1340	5	mustafa	mustafa	PROPN
ejpam-6225	1340	6	,	,	PUNCT
ejpam-6225	1340	7	neelofar	neelofar	PROPN
ejpam-6225	1340	8	safdar	safdar	PROPN
ejpam-6225	1340	9	,	,	PUNCT
ejpam-6225	1340	10	murrium	murrium	NOUN
ejpam-6225	1340	11	bibi	bibi	NOUN
ejpam-6225	1340	12	,	,	PUNCT
ejpam-6225	1340	13	af	af	PROPN
ejpam-6225	1340	14	sayed	say	VERB
ejpam-6225	1340	15	,	,	PUNCT
ejpam-6225	1340	16	muhammad	muhammad	PROPN
ejpam-6225	1340	17	ghaffar	ghaffar	PROPN
ejpam-6225	1340	18	khan	khan	PROPN
ejpam-6225	1340	19	,	,	PUNCT
ejpam-6225	1340	20	and	and	CCONJ
ejpam-6225	1340	21	zabidin	zabidin	VERB
ejpam-6225	1340	22	salleh	salleh	PROPN
ejpam-6225	1340	23	.	.	PUNCT
ejpam-6225	1341	1	a	a	DET
ejpam-6225	1341	2	study	study	NOUN
ejpam-6225	1341	3	of	of	ADP
ejpam-6225	1341	4	bipolar	bipolar	ADJ
ejpam-6225	1341	5	fuzzy	fuzzy	ADJ
ejpam-6225	1341	6	soft	soft	ADJ
ejpam-6225	1341	7	sets	set	NOUN
ejpam-6225	1341	8	and	and	CCONJ
ejpam-6225	1341	9	its	its	PRON
ejpam-6225	1341	10	application	application	NOUN
ejpam-6225	1341	11	in	in	ADP
ejpam-6225	1341	12	decision	decision	NOUN
ejpam-6225	1341	13	-	-	PUNCT
ejpam-6225	1341	14	making	make	VERB
ejpam-6225	1341	15	d.	d.	PROPN
ejpam-6225	1341	16	shi	shi	PROPN
ejpam-6225	1341	17	et	et	PROPN
ejpam-6225	1341	18	al	al	PROPN
ejpam-6225	1341	19	.	.	PUNCT
ejpam-6225	1341	20	/	/	SYM
ejpam-6225	1341	21	eur	eur	PROPN
ejpam-6225	1341	22	.	.	PUNCT
ejpam-6225	1342	1	j.	j.	PROPN
ejpam-6225	1342	2	pure	pure	PROPN
ejpam-6225	1342	3	appl	appl	PROPN
ejpam-6225	1342	4	.	.	PROPN
ejpam-6225	1342	5	math	math	PROPN
ejpam-6225	1342	6	,	,	PUNCT
ejpam-6225	1342	7	18	18	NUM
ejpam-6225	1342	8	(	(	PUNCT
ejpam-6225	1342	9	4	4	NUM
ejpam-6225	1342	10	)	)	PUNCT
ejpam-6225	1342	11	(	(	PUNCT
ejpam-6225	1342	12	2025	2025	NUM
ejpam-6225	1342	13	)	)	PUNCT
ejpam-6225	1342	14	,	,	PUNCT
ejpam-6225	1342	15	6225	6225	NUM
ejpam-6225	1342	16	36	36	NUM
ejpam-6225	1342	17	of	of	ADP
ejpam-6225	1342	18	36	36	NUM
ejpam-6225	1342	19	problems	problem	NOUN
ejpam-6225	1342	20	.	.	PUNCT
ejpam-6225	1343	1	mathematical	mathematical	ADJ
ejpam-6225	1343	2	problems	problem	NOUN
ejpam-6225	1343	3	in	in	ADP
ejpam-6225	1343	4	engineering	engineering	NOUN
ejpam-6225	1343	5	,	,	PUNCT
ejpam-6225	1343	6	2021(1):5742288	2021(1):5742288	NUM
ejpam-6225	1343	7	,	,	PUNCT
ejpam-6225	1343	8	2021	2021	NUM
ejpam-6225	1343	9	.	.	PUNCT
ejpam-6225	1344	1	[	[	X
ejpam-6225	1344	2	32	32	NUM
ejpam-6225	1344	3	]	]	SYM
ejpam-6225	1344	4	nosheen	nosheen	NOUN
ejpam-6225	1344	5	malik	malik	NOUN
ejpam-6225	1344	6	and	and	CCONJ
ejpam-6225	1344	7	muhammad	muhammad	PROPN
ejpam-6225	1344	8	shabir	shabir	PROPN
ejpam-6225	1344	9	.	.	PUNCT
ejpam-6225	1345	1	rough	rough	ADJ
ejpam-6225	1345	2	fuzzy	fuzzy	ADJ
ejpam-6225	1345	3	bipolar	bipolar	ADJ
ejpam-6225	1345	4	soft	soft	ADJ
ejpam-6225	1345	5	sets	set	NOUN
ejpam-6225	1345	6	and	and	CCONJ
ejpam-6225	1345	7	application	application	NOUN
ejpam-6225	1345	8	in	in	ADP
ejpam-6225	1345	9	decision	decision	NOUN
ejpam-6225	1345	10	-	-	PUNCT
ejpam-6225	1345	11	making	make	VERB
ejpam-6225	1345	12	problems	problem	NOUN
ejpam-6225	1345	13	.	.	PUNCT
ejpam-6225	1346	1	soft	soft	ADJ
ejpam-6225	1346	2	computing	computing	NOUN
ejpam-6225	1346	3	,	,	PUNCT
ejpam-6225	1346	4	23:1603–1614	23:1603–1614	NUM
ejpam-6225	1346	5	,	,	PUNCT
ejpam-6225	1346	6	2019	2019	NUM
ejpam-6225	1346	7	.	.	PUNCT
ejpam-6225	1347	1	[	[	X
ejpam-6225	1347	2	33	33	NUM
ejpam-6225	1347	3	]	]	PUNCT
ejpam-6225	1347	4	faruk	faruk	PROPN
ejpam-6225	1347	5	karaaslan	karaaslan	PROPN
ejpam-6225	1347	6	and	and	CCONJ
ejpam-6225	1347	7	naim	naim	PROPN
ejpam-6225	1347	8	çağman	çağman	NOUN
ejpam-6225	1347	9	.	.	PUNCT
ejpam-6225	1348	1	bipolar	bipolar	ADJ
ejpam-6225	1348	2	soft	soft	ADJ
ejpam-6225	1348	3	rough	rough	ADJ
ejpam-6225	1348	4	sets	set	NOUN
ejpam-6225	1348	5	and	and	CCONJ
ejpam-6225	1348	6	their	their	PRON
ejpam-6225	1348	7	applications	application	NOUN
ejpam-6225	1348	8	in	in	ADP
ejpam-6225	1348	9	decision	decision	NOUN
ejpam-6225	1348	10	making	making	NOUN
ejpam-6225	1348	11	.	.	PUNCT
ejpam-6225	1349	1	afrika	afrika	PROPN
ejpam-6225	1349	2	matematika	matematika	PROPN
ejpam-6225	1349	3	,	,	PUNCT
ejpam-6225	1349	4	29:823–839	29:823–839	PROPN
ejpam-6225	1349	5	,	,	PUNCT
ejpam-6225	1349	6	2018	2018	NUM
ejpam-6225	1349	7	.	.	PUNCT
ejpam-6225	1350	1	[	[	X
ejpam-6225	1350	2	34	34	NUM
ejpam-6225	1350	3	]	]	X
ejpam-6225	1350	4	rizwan	rizwan	PROPN
ejpam-6225	1350	5	gul	gul	PROPN
ejpam-6225	1350	6	,	,	PUNCT
ejpam-6225	1350	7	muhammad	muhammad	PROPN
ejpam-6225	1350	8	shabir	shabir	PROPN
ejpam-6225	1350	9	,	,	PUNCT
ejpam-6225	1350	10	wali	wali	PROPN
ejpam-6225	1350	11	khan	khan	PROPN
ejpam-6225	1350	12	mashwani	mashwani	PROPN
ejpam-6225	1350	13	,	,	PUNCT
ejpam-6225	1350	14	and	and	CCONJ
ejpam-6225	1350	15	hayat	hayat	PROPN
ejpam-6225	1350	16	ullah	ullah	PROPN
ejpam-6225	1350	17	.	.	PUNCT
ejpam-6225	1350	18	novel	novel	ADJ
ejpam-6225	1350	19	bipolar	bipolar	ADJ
ejpam-6225	1350	20	soft	soft	ADJ
ejpam-6225	1350	21	rough	rough	ADJ
ejpam-6225	1350	22	-	-	PUNCT
ejpam-6225	1350	23	set	set	VERB
ejpam-6225	1350	24	approximations	approximation	NOUN
ejpam-6225	1350	25	and	and	CCONJ
ejpam-6225	1350	26	their	their	PRON
ejpam-6225	1350	27	application	application	NOUN
ejpam-6225	1350	28	in	in	ADP
ejpam-6225	1350	29	solving	solve	VERB
ejpam-6225	1350	30	decision	decision	NOUN
ejpam-6225	1350	31	-	-	PUNCT
ejpam-6225	1350	32	making	make	VERB
ejpam-6225	1350	33	problems	problem	NOUN
ejpam-6225	1350	34	.	.	PUNCT
ejpam-6225	1351	1	int	int	NOUN
ejpam-6225	1351	2	.	.	PUNCT
ejpam-6225	1352	1	j.	j.	PROPN
ejpam-6225	1352	2	fuzzy	fuzzy	PROPN
ejpam-6225	1352	3	log	log	PROPN
ejpam-6225	1352	4	.	.	PUNCT
ejpam-6225	1353	1	intell	intell	PROPN
ejpam-6225	1353	2	.	.	PUNCT
ejpam-6225	1354	1	syst	syst	PROPN
ejpam-6225	1354	2	.	.	PROPN
ejpam-6225	1354	3	,	,	PUNCT
ejpam-6225	1354	4	22(3):303–324	22(3):303–324	NUM
ejpam-6225	1354	5	,	,	PUNCT
ejpam-6225	1354	6	2022	2022	NUM
ejpam-6225	1354	7	.	.	PUNCT
ejpam-6225	1355	1	[	[	X
ejpam-6225	1355	2	35	35	NUM
ejpam-6225	1355	3	]	]	X
ejpam-6225	1355	4	heba	heba	PROPN
ejpam-6225	1355	5	i	i	PRON
ejpam-6225	1355	6	mustafa	mustafa	PROPN
ejpam-6225	1355	7	.	.	PUNCT
ejpam-6225	1356	1	bipolar	bipolar	ADJ
ejpam-6225	1356	2	soft	soft	ADJ
ejpam-6225	1356	3	ideal	ideal	ADJ
ejpam-6225	1356	4	rough	rough	ADJ
ejpam-6225	1356	5	set	set	NOUN
ejpam-6225	1356	6	with	with	ADP
ejpam-6225	1356	7	applications	application	NOUN
ejpam-6225	1356	8	in	in	ADP
ejpam-6225	1356	9	covid-19	covid-19	PROPN
ejpam-6225	1356	10	.	.	PUNCT
ejpam-6225	1357	1	turkish	turkish	ADJ
ejpam-6225	1357	2	journal	journal	PROPN
ejpam-6225	1357	3	of	of	ADP
ejpam-6225	1357	4	mathematics	mathematic	NOUN
ejpam-6225	1357	5	,	,	PUNCT
ejpam-6225	1357	6	47(1):1–36	47(1):1–36	NUM
ejpam-6225	1357	7	,	,	PUNCT
ejpam-6225	1357	8	2023	2023	NUM
ejpam-6225	1357	9	.	.	PUNCT
ejpam-6225	1358	1	[	[	X
ejpam-6225	1358	2	36	36	NUM
ejpam-6225	1358	3	]	]	X
ejpam-6225	1358	4	günther	günther	NOUN
ejpam-6225	1358	5	gediga	gediga	PROPN
ejpam-6225	1358	6	and	and	CCONJ
ejpam-6225	1358	7	ivo	ivo	PROPN
ejpam-6225	1358	8	düntsch	düntsch	PROPN
ejpam-6225	1358	9	.	.	PUNCT
ejpam-6225	1359	1	rough	rough	ADJ
ejpam-6225	1359	2	approximation	approximation	NOUN
ejpam-6225	1359	3	quality	quality	NOUN
ejpam-6225	1359	4	revisited	revisit	VERB
ejpam-6225	1359	5	.	.	PUNCT
ejpam-6225	1360	1	artificial	artificial	ADJ
ejpam-6225	1360	2	intelligence	intelligence	NOUN
ejpam-6225	1360	3	,	,	PUNCT
ejpam-6225	1360	4	132(2):219–234	132(2):219–234	NUM
ejpam-6225	1360	5	,	,	PUNCT
ejpam-6225	1360	6	2001	2001	NUM
ejpam-6225	1360	7	.	.	PUNCT
ejpam-6225	1361	1	[	[	X
ejpam-6225	1361	2	37	37	NUM
ejpam-6225	1361	3	]	]	X
ejpam-6225	1361	4	yi	yi	PROPN
ejpam-6225	1361	5	-	-	PUNCT
ejpam-6225	1361	6	yu	yu	PROPN
ejpam-6225	1361	7	yao	yao	PROPN
ejpam-6225	1361	8	.	.	PUNCT
ejpam-6225	1362	1	notes	note	NOUN
ejpam-6225	1362	2	on	on	ADP
ejpam-6225	1362	3	rough	rough	ADJ
ejpam-6225	1362	4	set	set	VERB
ejpam-6225	1362	5	approximations	approximation	NOUN
ejpam-6225	1362	6	and	and	CCONJ
ejpam-6225	1362	7	associated	associated	ADJ
ejpam-6225	1362	8	measures	measure	NOUN
ejpam-6225	1362	9	.	.	PUNCT
ejpam-6225	1363	1	journal	journal	PROPN
ejpam-6225	1363	2	of	of	ADP
ejpam-6225	1363	3	zhejiang	zhejiang	PROPN
ejpam-6225	1363	4	ocean	ocean	PROPN
ejpam-6225	1363	5	university	university	PROPN
ejpam-6225	1363	6	(	(	PUNCT
ejpam-6225	1363	7	natural	natural	ADJ
ejpam-6225	1363	8	science	science	NOUN
ejpam-6225	1363	9	)	)	PUNCT
ejpam-6225	1363	10	,	,	PUNCT
ejpam-6225	1363	11	29(5):399–410	29(5):399–410	NUM
ejpam-6225	1363	12	,	,	PUNCT
ejpam-6225	1363	13	2010	2010	NUM
ejpam-6225	1363	14	.	.	PUNCT
ejpam-6225	1364	1	[	[	X
ejpam-6225	1364	2	38	38	NUM
ejpam-6225	1364	3	]	]	PUNCT
ejpam-6225	1364	4	salvatore	salvatore	PROPN
ejpam-6225	1364	5	greco	greco	PROPN
ejpam-6225	1364	6	,	,	PUNCT
ejpam-6225	1364	7	benedetto	benedetto	PROPN
ejpam-6225	1364	8	matarazzo	matarazzo	PROPN
ejpam-6225	1364	9	,	,	PUNCT
ejpam-6225	1364	10	and	and	CCONJ
ejpam-6225	1364	11	roman	roman	ADJ
ejpam-6225	1364	12	slowinski	slowinski	NOUN
ejpam-6225	1364	13	.	.	PUNCT
ejpam-6225	1365	1	the	the	DET
ejpam-6225	1365	2	use	use	NOUN
ejpam-6225	1365	3	of	of	ADP
ejpam-6225	1365	4	rough	rough	ADJ
ejpam-6225	1365	5	sets	set	NOUN
ejpam-6225	1365	6	and	and	CCONJ
ejpam-6225	1365	7	fuzzy	fuzzy	ADJ
ejpam-6225	1365	8	sets	set	NOUN
ejpam-6225	1365	9	in	in	ADP
ejpam-6225	1365	10	mcdm	mcdm	ADJ
ejpam-6225	1365	11	.	.	PUNCT
ejpam-6225	1366	1	in	in	ADP
ejpam-6225	1366	2	multicriteria	multicriteria	PROPN
ejpam-6225	1366	3	decision	decision	NOUN
ejpam-6225	1366	4	making	making	NOUN
ejpam-6225	1366	5	:	:	PUNCT
ejpam-6225	1366	6	advances	advance	NOUN
ejpam-6225	1366	7	in	in	ADP
ejpam-6225	1366	8	mcdm	mcdm	ADJ
ejpam-6225	1366	9	models	model	NOUN
ejpam-6225	1366	10	,	,	PUNCT
ejpam-6225	1366	11	algorithms	algorithm	NOUN
ejpam-6225	1366	12	,	,	PUNCT
ejpam-6225	1366	13	theory	theory	NOUN
ejpam-6225	1366	14	,	,	PUNCT
ejpam-6225	1366	15	and	and	CCONJ
ejpam-6225	1366	16	applications	application	NOUN
ejpam-6225	1366	17	,	,	PUNCT
ejpam-6225	1366	18	pages	page	NOUN
ejpam-6225	1366	19	397–455	397–455	NUM
ejpam-6225	1366	20	.	.	PUNCT
ejpam-6225	1367	1	springer	springer	NOUN
ejpam-6225	1367	2	,	,	PUNCT
ejpam-6225	1367	3	1999	1999	NUM
ejpam-6225	1367	4	.	.	PUNCT
ejpam-6225	1368	1	[	[	X
ejpam-6225	1368	2	39	39	NUM
ejpam-6225	1368	3	]	]	PUNCT
ejpam-6225	1368	4	salvatore	salvatore	PROPN
ejpam-6225	1368	5	greco	greco	PROPN
ejpam-6225	1368	6	,	,	PUNCT
ejpam-6225	1368	7	benedetto	benedetto	PROPN
ejpam-6225	1368	8	matarazzo	matarazzo	PROPN
ejpam-6225	1368	9	,	,	PUNCT
ejpam-6225	1368	10	and	and	CCONJ
ejpam-6225	1368	11	roman	roman	ADJ
ejpam-6225	1368	12	slowinski	slowinski	NOUN
ejpam-6225	1368	13	.	.	PUNCT
ejpam-6225	1369	1	rough	rough	ADJ
ejpam-6225	1369	2	sets	set	NOUN
ejpam-6225	1369	3	theory	theory	NOUN
ejpam-6225	1369	4	for	for	ADP
ejpam-6225	1369	5	multicriteria	multicriteria	PROPN
ejpam-6225	1369	6	decision	decision	NOUN
ejpam-6225	1369	7	analysis	analysis	NOUN
ejpam-6225	1369	8	.	.	PUNCT
ejpam-6225	1370	1	european	european	ADJ
ejpam-6225	1370	2	journal	journal	PROPN
ejpam-6225	1370	3	of	of	ADP
ejpam-6225	1370	4	operational	operational	ADJ
ejpam-6225	1370	5	research	research	NOUN
ejpam-6225	1370	6	,	,	PUNCT
ejpam-6225	1370	7	129(1):1–47	129(1):1–47	NUM
ejpam-6225	1370	8	,	,	PUNCT
ejpam-6225	1370	9	2001	2001	NUM
ejpam-6225	1370	10	.	.	PUNCT
ejpam-6225	1371	1	[	[	X
ejpam-6225	1371	2	40	40	NUM
ejpam-6225	1371	3	]	]	PUNCT
ejpam-6225	1371	4	yıldıray	yıldıray	NOUN
ejpam-6225	1371	5	çelik	çelik	PROPN
ejpam-6225	1371	6	and	and	CCONJ
ejpam-6225	1371	7	sultan	sultan	PROPN
ejpam-6225	1371	8	yamak	yamak	PROPN
ejpam-6225	1371	9	.	.	PUNCT
ejpam-6225	1372	1	fuzzy	fuzzy	ADJ
ejpam-6225	1372	2	soft	soft	ADJ
ejpam-6225	1372	3	set	set	NOUN
ejpam-6225	1372	4	theory	theory	NOUN
ejpam-6225	1372	5	applied	apply	VERB
ejpam-6225	1372	6	to	to	ADP
ejpam-6225	1372	7	medical	medical	ADJ
ejpam-6225	1372	8	diagnosis	diagnosis	NOUN
ejpam-6225	1372	9	using	use	VERB
ejpam-6225	1372	10	fuzzy	fuzzy	ADJ
ejpam-6225	1372	11	arithmetic	arithmetic	ADJ
ejpam-6225	1372	12	operations	operation	NOUN
ejpam-6225	1372	13	.	.	PUNCT
ejpam-6225	1373	1	journal	journal	PROPN
ejpam-6225	1373	2	of	of	ADP
ejpam-6225	1373	3	inequalities	inequality	NOUN
ejpam-6225	1373	4	and	and	CCONJ
ejpam-6225	1373	5	applications	application	NOUN
ejpam-6225	1373	6	,	,	PUNCT
ejpam-6225	1373	7	2013:1–9	2013:1–9	NUM
ejpam-6225	1373	8	,	,	PUNCT
ejpam-6225	1373	9	2013	2013	NUM
ejpam-6225	1373	10	.	.	PUNCT
ejpam-6225	1374	1	[	[	X
ejpam-6225	1374	2	41	41	NUM
ejpam-6225	1374	3	]	]	PUNCT
ejpam-6225	1374	4	muhammad	muhammad	PROPN
ejpam-6225	1374	5	shabir	shabir	PROPN
ejpam-6225	1374	6	and	and	CCONJ
ejpam-6225	1374	7	rizwan	rizwan	PROPN
ejpam-6225	1374	8	gul	gul	PROPN
ejpam-6225	1374	9	.	.	PUNCT
ejpam-6225	1375	1	modified	modify	VERB
ejpam-6225	1375	2	rough	rough	ADJ
ejpam-6225	1375	3	bipolar	bipolar	ADJ
ejpam-6225	1375	4	soft	soft	ADJ
ejpam-6225	1375	5	sets	set	NOUN
ejpam-6225	1375	6	.	.	PUNCT
ejpam-6225	1376	1	journal	journal	NOUN
ejpam-6225	1376	2	of	of	ADP
ejpam-6225	1376	3	intelligent	intelligent	ADJ
ejpam-6225	1376	4	&	&	CCONJ
ejpam-6225	1376	5	fuzzy	fuzzy	ADJ
ejpam-6225	1376	6	systems	system	NOUN
ejpam-6225	1376	7	,	,	PUNCT
ejpam-6225	1376	8	39(3):4259–4283	39(3):4259–4283	NUM
ejpam-6225	1376	9	,	,	PUNCT
ejpam-6225	1376	10	2020	2020	NUM
ejpam-6225	1376	11	.	.	PUNCT