id	sid	tid	token	lemma	pos
ejpam-5464	1	1	european	european	PROPN
ejpam-5464	1	2	journal	journal	PROPN
ejpam-5464	1	3	of	of	ADP
ejpam-5464	1	4	pure	pure	ADJ
ejpam-5464	1	5	and	and	CCONJ
ejpam-5464	1	6	applied	apply	VERB
ejpam-5464	1	7	mathematics	mathematic	NOUN
ejpam-5464	1	8	vol	vol	NOUN
ejpam-5464	1	9	.	.	PROPN
ejpam-5464	2	1	17	17	NUM
ejpam-5464	2	2	,	,	PUNCT
ejpam-5464	2	3	no	no	INTJ
ejpam-5464	2	4	.	.	NOUN
ejpam-5464	2	5	4	4	NUM
ejpam-5464	2	6	,	,	PUNCT
ejpam-5464	2	7	2024	2024	NUM
ejpam-5464	2	8	,	,	PUNCT
ejpam-5464	2	9	3567	3567	NUM
ejpam-5464	2	10	-	-	SYM
ejpam-5464	2	11	3584	3584	NUM
ejpam-5464	2	12	issn	issn	PROPN
ejpam-5464	2	13	1307	1307	NUM
ejpam-5464	2	14	-	-	SYM
ejpam-5464	2	15	5543	5543	NUM
ejpam-5464	2	16	–	–	PUNCT
ejpam-5464	3	1	ejpam.com	ejpam.com	X
ejpam-5464	3	2	published	publish	VERB
ejpam-5464	3	3	by	by	ADP
ejpam-5464	3	4	new	new	PROPN
ejpam-5464	3	5	york	york	PROPN
ejpam-5464	3	6	business	business	PROPN
ejpam-5464	3	7	global	global	ADJ
ejpam-5464	3	8	advancements	advancement	NOUN
ejpam-5464	3	9	in	in	ADP
ejpam-5464	3	10	topological	topological	ADJ
ejpam-5464	3	11	approaches	approach	NOUN
ejpam-5464	3	12	via	via	ADP
ejpam-5464	3	13	core	core	NOUN
ejpam-5464	3	14	minimal	minimal	ADJ
ejpam-5464	3	15	neighborhoods	neighborhood	NOUN
ejpam-5464	3	16	and	and	CCONJ
ejpam-5464	3	17	their	their	PRON
ejpam-5464	3	18	applications	application	NOUN
ejpam-5464	3	19	ismail	ismail	PROPN
ejpam-5464	3	20	shbair1,∗	shbair1,∗	PROPN
ejpam-5464	3	21	,	,	PUNCT
ejpam-5464	3	22	amgad	amgad	NOUN
ejpam-5464	3	23	salama1	salama1	PROPN
ejpam-5464	3	24	,	,	PUNCT
ejpam-5464	3	25	osama	osama	PROPN
ejpam-5464	3	26	embaby1	embaby1	NOUN
ejpam-5464	3	27	,	,	PUNCT
ejpam-5464	3	28	abdelfattah	abdelfattah	PROPN
ejpam-5464	3	29	el	el	PROPN
ejpam-5464	3	30	-	-	PROPN
ejpam-5464	3	31	atik1,2	atik1,2	PROPN
ejpam-5464	3	32	1	1	NUM
ejpam-5464	3	33	department	department	NOUN
ejpam-5464	3	34	of	of	ADP
ejpam-5464	3	35	mathematics	mathematic	NOUN
ejpam-5464	3	36	,	,	PUNCT
ejpam-5464	3	37	faculty	faculty	NOUN
ejpam-5464	3	38	of	of	ADP
ejpam-5464	3	39	science	science	NOUN
ejpam-5464	3	40	,	,	PUNCT
ejpam-5464	3	41	tanta	tanta	PROPN
ejpam-5464	3	42	university	university	PROPN
ejpam-5464	3	43	,	,	PUNCT
ejpam-5464	3	44	tanta	tanta	PROPN
ejpam-5464	3	45	,	,	PUNCT
ejpam-5464	3	46	egypt	egypt	PROPN
ejpam-5464	3	47	2	2	NUM
ejpam-5464	3	48	basic	basic	ADJ
ejpam-5464	3	49	science	science	NOUN
ejpam-5464	3	50	center	center	NOUN
ejpam-5464	3	51	,	,	PUNCT
ejpam-5464	3	52	misr	misr	PROPN
ejpam-5464	3	53	university	university	PROPN
ejpam-5464	3	54	for	for	ADP
ejpam-5464	3	55	science	science	NOUN
ejpam-5464	3	56	and	and	CCONJ
ejpam-5464	3	57	technology	technology	NOUN
ejpam-5464	3	58	(	(	PUNCT
ejpam-5464	3	59	must	must	AUX
ejpam-5464	3	60	)	)	PUNCT
ejpam-5464	3	61	,	,	PUNCT
ejpam-5464	3	62	6	6	NUM
ejpam-5464	3	63	of	of	ADP
ejpam-5464	3	64	october	october	PROPN
ejpam-5464	3	65	,	,	PUNCT
ejpam-5464	3	66	egypt	egypt	PROPN
ejpam-5464	3	67	abstract	abstract	PROPN
ejpam-5464	3	68	.	.	PUNCT
ejpam-5464	4	1	graph	graph	NOUN
ejpam-5464	4	2	theory	theory	NOUN
ejpam-5464	4	3	provides	provide	VERB
ejpam-5464	4	4	many	many	ADJ
ejpam-5464	4	5	topological	topological	ADJ
ejpam-5464	4	6	systems	system	NOUN
ejpam-5464	4	7	for	for	ADP
ejpam-5464	4	8	modelling	model	VERB
ejpam-5464	4	9	blood	blood	NOUN
ejpam-5464	4	10	circulation	circulation	NOUN
ejpam-5464	4	11	.	.	PUNCT
ejpam-5464	5	1	the	the	DET
ejpam-5464	5	2	main	main	ADJ
ejpam-5464	5	3	object	object	NOUN
ejpam-5464	5	4	is	be	AUX
ejpam-5464	5	5	determining	determine	VERB
ejpam-5464	5	6	the	the	DET
ejpam-5464	5	7	best	good	ADJ
ejpam-5464	5	8	topology	topology	NOUN
ejpam-5464	5	9	for	for	ADP
ejpam-5464	5	10	a	a	DET
ejpam-5464	5	11	successful	successful	ADJ
ejpam-5464	5	12	correct	correct	ADJ
ejpam-5464	5	13	diagnosis	diagnosis	NOUN
ejpam-5464	5	14	.	.	PUNCT
ejpam-5464	6	1	this	this	DET
ejpam-5464	6	2	work	work	NOUN
ejpam-5464	6	3	illustrates	illustrate	VERB
ejpam-5464	6	4	the	the	DET
ejpam-5464	6	5	justification	justification	NOUN
ejpam-5464	6	6	for	for	ADP
ejpam-5464	6	7	using	use	VERB
ejpam-5464	6	8	topology	topology	NOUN
ejpam-5464	6	9	,	,	PUNCT
ejpam-5464	6	10	rough	rough	ADJ
ejpam-5464	6	11	sets	set	NOUN
ejpam-5464	6	12	,	,	PUNCT
ejpam-5464	6	13	and	and	CCONJ
ejpam-5464	6	14	graph	graph	VERB
ejpam-5464	6	15	analysis	analysis	NOUN
ejpam-5464	6	16	through	through	ADP
ejpam-5464	6	17	neighborhoods	neighborhood	NOUN
ejpam-5464	6	18	.	.	PUNCT
ejpam-5464	7	1	generalization	generalization	NOUN
ejpam-5464	7	2	for	for	ADP
ejpam-5464	7	3	an	an	DET
ejpam-5464	7	4	approximation	approximation	NOUN
ejpam-5464	7	5	space	space	NOUN
ejpam-5464	7	6	and	and	CCONJ
ejpam-5464	7	7	a	a	DET
ejpam-5464	7	8	model	model	NOUN
ejpam-5464	7	9	of	of	ADP
ejpam-5464	7	10	the	the	DET
ejpam-5464	7	11	topological	topological	ADJ
ejpam-5464	7	12	graph	graph	NOUN
ejpam-5464	7	13	is	be	AUX
ejpam-5464	7	14	presented	present	VERB
ejpam-5464	7	15	.	.	PUNCT
ejpam-5464	8	1	investigating	investigate	VERB
ejpam-5464	8	2	core	core	NOUN
ejpam-5464	8	3	minimal	minimal	ADJ
ejpam-5464	8	4	neighborhoods	neighborhood	NOUN
ejpam-5464	8	5	is	be	AUX
ejpam-5464	8	6	essential	essential	ADJ
ejpam-5464	8	7	for	for	ADP
ejpam-5464	8	8	categorizing	categorize	VERB
ejpam-5464	8	9	subsets	subset	NOUN
ejpam-5464	8	10	and	and	CCONJ
ejpam-5464	8	11	computing	computing	NOUN
ejpam-5464	8	12	,	,	PUNCT
ejpam-5464	8	13	these	these	DET
ejpam-5464	8	14	techniques	technique	NOUN
ejpam-5464	8	15	perform	perform	VERB
ejpam-5464	8	16	better	well	ADJ
ejpam-5464	8	17	than	than	ADP
ejpam-5464	8	18	current	current	ADJ
ejpam-5464	8	19	techniques	technique	NOUN
ejpam-5464	8	20	while	while	SCONJ
ejpam-5464	8	21	maintaining	maintain	VERB
ejpam-5464	8	22	pawlakl	pawlakl	NOUN
ejpam-5464	8	23	’s	’s	PART
ejpam-5464	8	24	characteristics	characteristic	NOUN
ejpam-5464	8	25	.	.	PUNCT
ejpam-5464	9	1	this	this	DET
ejpam-5464	9	2	work	work	NOUN
ejpam-5464	9	3	presents	present	VERB
ejpam-5464	9	4	a	a	DET
ejpam-5464	9	5	method	method	NOUN
ejpam-5464	9	6	for	for	ADP
ejpam-5464	9	7	generalizing	generalize	VERB
ejpam-5464	9	8	rough	rough	ADJ
ejpam-5464	9	9	sets	set	NOUN
ejpam-5464	9	10	utilizing	utilize	VERB
ejpam-5464	9	11	core	core	NOUN
ejpam-5464	9	12	minimal	minimal	ADJ
ejpam-5464	9	13	neighborhoods	neighborhood	NOUN
ejpam-5464	9	14	using	use	VERB
ejpam-5464	9	15	binary	binary	ADJ
ejpam-5464	9	16	relations	relation	NOUN
ejpam-5464	9	17	.	.	PUNCT
ejpam-5464	10	1	moreover	moreover	ADV
ejpam-5464	10	2	,	,	PUNCT
ejpam-5464	10	3	we	we	PRON
ejpam-5464	10	4	will	will	AUX
ejpam-5464	10	5	construct	construct	VERB
ejpam-5464	10	6	four	four	NUM
ejpam-5464	10	7	types	type	NOUN
ejpam-5464	10	8	of	of	ADP
ejpam-5464	10	9	dual	dual	ADJ
ejpam-5464	10	10	approximations	approximation	NOUN
ejpam-5464	10	11	concerning	concern	VERB
ejpam-5464	10	12	core	core	NOUN
ejpam-5464	10	13	minimal	minimal	ADJ
ejpam-5464	10	14	neighborhoods	neighborhood	NOUN
ejpam-5464	10	15	as	as	ADP
ejpam-5464	10	16	lower	low	ADJ
ejpam-5464	10	17	and	and	CCONJ
ejpam-5464	10	18	upper	upper	ADJ
ejpam-5464	10	19	approximations	approximation	NOUN
ejpam-5464	10	20	.	.	PUNCT
ejpam-5464	11	1	a	a	DET
ejpam-5464	11	2	comparison	comparison	NOUN
ejpam-5464	11	3	between	between	ADP
ejpam-5464	11	4	different	different	ADJ
ejpam-5464	11	5	types	type	NOUN
ejpam-5464	11	6	of	of	ADP
ejpam-5464	11	7	dual	dual	ADJ
ejpam-5464	11	8	approximations	approximation	NOUN
ejpam-5464	11	9	is	be	AUX
ejpam-5464	11	10	discussed	discuss	VERB
ejpam-5464	11	11	.	.	PUNCT
ejpam-5464	12	1	core	core	NOUN
ejpam-5464	12	2	minimal	minimal	ADJ
ejpam-5464	12	3	neighborhoods	neighborhood	NOUN
ejpam-5464	12	4	induce	induce	VERB
ejpam-5464	12	5	certain	certain	ADJ
ejpam-5464	12	6	types	type	NOUN
ejpam-5464	12	7	of	of	ADP
ejpam-5464	12	8	topological	topological	ADJ
ejpam-5464	12	9	structures	structure	NOUN
ejpam-5464	12	10	.	.	PUNCT
ejpam-5464	13	1	finally	finally	ADV
ejpam-5464	13	2	,	,	PUNCT
ejpam-5464	13	3	we	we	PRON
ejpam-5464	13	4	compare	compare	VERB
ejpam-5464	13	5	different	different	ADJ
ejpam-5464	13	6	topologies	topology	NOUN
ejpam-5464	13	7	that	that	PRON
ejpam-5464	13	8	assist	assist	VERB
ejpam-5464	13	9	us	we	PRON
ejpam-5464	13	10	in	in	ADP
ejpam-5464	13	11	determining	determine	VERB
ejpam-5464	13	12	the	the	DET
ejpam-5464	13	13	main	main	ADJ
ejpam-5464	13	14	parts	part	NOUN
ejpam-5464	13	15	of	of	ADP
ejpam-5464	13	16	a	a	DET
ejpam-5464	13	17	human	human	ADJ
ejpam-5464	13	18	heart	heart	NOUN
ejpam-5464	13	19	’s	’s	PART
ejpam-5464	13	20	graph	graph	NOUN
ejpam-5464	13	21	.	.	PUNCT
ejpam-5464	14	1	2020	2020	NUM
ejpam-5464	14	2	mathematics	mathematic	NOUN
ejpam-5464	14	3	subject	subject	NOUN
ejpam-5464	14	4	classifications	classification	NOUN
ejpam-5464	14	5	:	:	PUNCT
ejpam-5464	14	6	60l90	60l90	NUM
ejpam-5464	14	7	,	,	PUNCT
ejpam-5464	14	8	54c55	54c55	NUM
ejpam-5464	14	9	,	,	PUNCT
ejpam-5464	14	10	54b10	54b10	NUM
ejpam-5464	14	11	,	,	PUNCT
ejpam-5464	14	12	54d30	54d30	NUM
ejpam-5464	14	13	,	,	PUNCT
ejpam-5464	14	14	54a05	54a05	NUM
ejpam-5464	14	15	key	key	ADJ
ejpam-5464	14	16	words	word	NOUN
ejpam-5464	14	17	and	and	CCONJ
ejpam-5464	14	18	phrases	phrase	NOUN
ejpam-5464	14	19	:	:	PUNCT
ejpam-5464	14	20	graphs	graph	NOUN
ejpam-5464	14	21	,	,	PUNCT
ejpam-5464	14	22	topological	topological	ADJ
ejpam-5464	14	23	space	space	NOUN
ejpam-5464	14	24	,	,	PUNCT
ejpam-5464	14	25	approximation	approximation	NOUN
ejpam-5464	14	26	space	space	NOUN
ejpam-5464	14	27	,	,	PUNCT
ejpam-5464	14	28	rough	rough	ADJ
ejpam-5464	14	29	set	set	NOUN
ejpam-5464	14	30	,	,	PUNCT
ejpam-5464	14	31	neighborhood	neighborhood	NOUN
ejpam-5464	14	32	,	,	PUNCT
ejpam-5464	14	33	core	core	NOUN
ejpam-5464	14	34	neighborhood	neighborhood	NOUN
ejpam-5464	14	35	,	,	PUNCT
ejpam-5464	14	36	minimal	minimal	ADJ
ejpam-5464	14	37	neighborhood	neighborhood	NOUN
ejpam-5464	14	38	,	,	PUNCT
ejpam-5464	14	39	human	human	ADJ
ejpam-5464	14	40	heart	heart	NOUN
ejpam-5464	14	41	1	1	NUM
ejpam-5464	14	42	.	.	PUNCT
ejpam-5464	14	43	introduction	introduction	NOUN
ejpam-5464	14	44	the	the	DET
ejpam-5464	14	45	use	use	NOUN
ejpam-5464	14	46	of	of	ADP
ejpam-5464	14	47	powerful	powerful	ADJ
ejpam-5464	14	48	mathematical	mathematical	ADJ
ejpam-5464	14	49	methods	method	NOUN
ejpam-5464	14	50	on	on	ADP
ejpam-5464	14	51	medical	medical	ADJ
ejpam-5464	14	52	models	model	NOUN
ejpam-5464	14	53	in	in	ADP
ejpam-5464	14	54	recent	recent	ADJ
ejpam-5464	14	55	years	year	NOUN
ejpam-5464	14	56	has	have	AUX
ejpam-5464	14	57	yielded	yield	VERB
ejpam-5464	14	58	priceless	priceless	ADJ
ejpam-5464	14	59	insights	insight	NOUN
ejpam-5464	14	60	into	into	ADP
ejpam-5464	14	61	intricate	intricate	ADJ
ejpam-5464	14	62	datasets	dataset	NOUN
ejpam-5464	14	63	.	.	PUNCT
ejpam-5464	15	1	the	the	DET
ejpam-5464	15	2	paper	paper	NOUN
ejpam-5464	15	3	provides	provide	VERB
ejpam-5464	15	4	a	a	DET
ejpam-5464	15	5	clear	clear	ADJ
ejpam-5464	15	6	and	and	CCONJ
ejpam-5464	15	7	succinct	succinct	ADJ
ejpam-5464	15	8	explanation	explanation	NOUN
ejpam-5464	15	9	of	of	ADP
ejpam-5464	15	10	the	the	DET
ejpam-5464	15	11	reasoning	reasoning	NOUN
ejpam-5464	15	12	behind	behind	ADP
ejpam-5464	15	13	the	the	DET
ejpam-5464	15	14	use	use	NOUN
ejpam-5464	15	15	of	of	ADP
ejpam-5464	15	16	neighborhood	neighborhood	NOUN
ejpam-5464	15	17	systems	system	NOUN
ejpam-5464	15	18	in	in	ADP
ejpam-5464	15	19	conjunction	conjunction	NOUN
ejpam-5464	15	20	with	with	ADP
ejpam-5464	15	21	topological	topological	ADJ
ejpam-5464	15	22	visualization	visualization	NOUN
ejpam-5464	15	23	and	and	CCONJ
ejpam-5464	15	24	rough	rough	ADJ
ejpam-5464	15	25	sets	set	NOUN
ejpam-5464	15	26	.	.	PUNCT
ejpam-5464	16	1	the	the	DET
ejpam-5464	16	2	importance	importance	NOUN
ejpam-5464	16	3	of	of	ADP
ejpam-5464	16	4	this	this	DET
ejpam-5464	16	5	work	work	NOUN
ejpam-5464	16	6	is	be	AUX
ejpam-5464	16	7	underscored	underscore	VERB
ejpam-5464	16	8	by	by	ADP
ejpam-5464	16	9	the	the	DET
ejpam-5464	16	10	abundance	abundance	NOUN
ejpam-5464	16	11	of	of	ADP
ejpam-5464	16	12	medical	medical	ADJ
ejpam-5464	16	13	models	model	NOUN
ejpam-5464	16	14	that	that	PRON
ejpam-5464	16	15	are	be	AUX
ejpam-5464	16	16	currently	currently	ADV
ejpam-5464	16	17	in	in	ADP
ejpam-5464	16	18	use	use	NOUN
ejpam-5464	16	19	,	,	PUNCT
ejpam-5464	16	20	each	each	PRON
ejpam-5464	16	21	of	of	ADP
ejpam-5464	16	22	which	which	PRON
ejpam-5464	16	23	poses	pose	VERB
ejpam-5464	16	24	a	a	DET
ejpam-5464	16	25	different	different	ADJ
ejpam-5464	16	26	set	set	NOUN
ejpam-5464	16	27	of	of	ADP
ejpam-5464	16	28	difficulties	difficulty	NOUN
ejpam-5464	16	29	in	in	ADP
ejpam-5464	16	30	terms	term	NOUN
ejpam-5464	16	31	of	of	ADP
ejpam-5464	16	32	interdependencies	interdependency	NOUN
ejpam-5464	16	33	and	and	CCONJ
ejpam-5464	16	34	data	datum	NOUN
ejpam-5464	16	35	complexity	complexity	NOUN
ejpam-5464	16	36	.	.	PUNCT
ejpam-5464	17	1	topological	topological	ADJ
ejpam-5464	17	2	visualization	visualization	NOUN
ejpam-5464	17	3	provides	provide	VERB
ejpam-5464	17	4	a	a	DET
ejpam-5464	17	5	visually	visually	ADV
ejpam-5464	17	6	intuitive	intuitive	ADJ
ejpam-5464	17	7	representation	representation	NOUN
ejpam-5464	17	8	of	of	ADP
ejpam-5464	17	9	complex	complex	ADJ
ejpam-5464	17	10	data	datum	NOUN
ejpam-5464	17	11	structures	structure	NOUN
ejpam-5464	17	12	,	,	PUNCT
ejpam-5464	17	13	surpassing	surpass	VERB
ejpam-5464	17	14	∗corresponding	∗corresponde	VERB
ejpam-5464	17	15	author	author	NOUN
ejpam-5464	17	16	.	.	PUNCT
ejpam-5464	18	1	doi	doi	NOUN
ejpam-5464	18	2	:	:	PUNCT
ejpam-5464	18	3	https://doi.org/10.29020/nybg.ejpam.v17i4.5464	https://doi.org/10.29020/nybg.ejpam.v17i4.5464	ADP
ejpam-5464	18	4	email	email	NOUN
ejpam-5464	18	5	addresses	address	NOUN
ejpam-5464	18	6	:	:	PUNCT
ejpam-5464	18	7	shbairismail@gmail.com	shbairismail@gmail.com	X
ejpam-5464	18	8	(	(	PUNCT
ejpam-5464	18	9	i.shbair	i.shbair	NOUN
ejpam-5464	18	10	)	)	PUNCT
ejpam-5464	18	11	,	,	PUNCT
ejpam-5464	18	12	asalama@science.tanta.edu.eg	asalama@science.tanta.edu.eg	PROPN
ejpam-5464	18	13	(	(	PUNCT
ejpam-5464	18	14	a.salama	a.salama	NOUN
ejpam-5464	18	15	)	)	PUNCT
ejpam-5464	18	16	,	,	PUNCT
ejpam-5464	18	17	embaby@science.tanta.edu.eg	embaby@science.tanta.edu.eg	X
ejpam-5464	18	18	(	(	PUNCT
ejpam-5464	18	19	o.embaby	o.embaby	NOUN
ejpam-5464	18	20	)	)	PUNCT
ejpam-5464	18	21	,	,	PUNCT
ejpam-5464	18	22	aelatik@science.tanta.edu.eg	aelatik@science.tanta.edu.eg	PROPN
ejpam-5464	18	23	(	(	PUNCT
ejpam-5464	18	24	a.	a.	PROPN
ejpam-5464	18	25	el	el	PROPN
ejpam-5464	18	26	-	-	PUNCT
ejpam-5464	18	27	atik	atik	PROPN
ejpam-5464	18	28	)	)	PUNCT
ejpam-5464	18	29	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-5464	19	1	3567	3567	NUM
ejpam-5464	19	2	copyright	copyright	NOUN
ejpam-5464	19	3	:	:	PUNCT
ejpam-5464	19	4	©	©	PROPN
ejpam-5464	19	5	2024	2024	NUM
ejpam-5464	19	6	the	the	DET
ejpam-5464	19	7	author(s	author(s	NOUN
ejpam-5464	19	8	)	)	PUNCT
ejpam-5464	19	9	.	.	PUNCT
ejpam-5464	20	1	(	(	PUNCT
ejpam-5464	20	2	cc	cc	NOUN
ejpam-5464	20	3	by	by	ADP
ejpam-5464	20	4	-	-	PUNCT
ejpam-5464	20	5	nc	nc	PROPN
ejpam-5464	20	6	4.0	4.0	NUM
ejpam-5464	20	7	)	)	PUNCT
ejpam-5464	20	8	i.	i.	NOUN
ejpam-5464	20	9	shbair	shbair	PROPN
ejpam-5464	20	10	et	et	PROPN
ejpam-5464	20	11	al	al	PROPN
ejpam-5464	20	12	.	.	PUNCT
ejpam-5464	20	13	/	/	SYM
ejpam-5464	20	14	eur	eur	PROPN
ejpam-5464	20	15	.	.	PUNCT
ejpam-5464	21	1	j.	j.	PROPN
ejpam-5464	21	2	pure	pure	PROPN
ejpam-5464	21	3	appl	appl	PROPN
ejpam-5464	21	4	.	.	PROPN
ejpam-5464	21	5	math	math	PROPN
ejpam-5464	21	6	,	,	PUNCT
ejpam-5464	21	7	17	17	NUM
ejpam-5464	21	8	(	(	PUNCT
ejpam-5464	21	9	4	4	NUM
ejpam-5464	21	10	)	)	PUNCT
ejpam-5464	21	11	(	(	PUNCT
ejpam-5464	21	12	2024	2024	NUM
ejpam-5464	21	13	)	)	PUNCT
ejpam-5464	21	14	,	,	PUNCT
ejpam-5464	21	15	3567	3567	NUM
ejpam-5464	21	16	-	-	SYM
ejpam-5464	21	17	3584	3584	NUM
ejpam-5464	21	18	3568	3568	NUM
ejpam-5464	21	19	the	the	DET
ejpam-5464	21	20	constraints	constraint	NOUN
ejpam-5464	21	21	of	of	ADP
ejpam-5464	21	22	applied	apply	VERB
ejpam-5464	21	23	mathematics	mathematic	NOUN
ejpam-5464	21	24	.	.	PUNCT
ejpam-5464	22	1	converting	convert	VERB
ejpam-5464	22	2	complex	complex	ADJ
ejpam-5464	22	3	data	datum	NOUN
ejpam-5464	22	4	into	into	ADP
ejpam-5464	22	5	topological	topological	ADJ
ejpam-5464	22	6	spaces	space	NOUN
ejpam-5464	22	7	allows	allow	VERB
ejpam-5464	22	8	for	for	ADP
ejpam-5464	22	9	the	the	DET
ejpam-5464	22	10	discovery	discovery	NOUN
ejpam-5464	22	11	of	of	ADP
ejpam-5464	22	12	hidden	hide	VERB
ejpam-5464	22	13	patterns	pattern	NOUN
ejpam-5464	22	14	and	and	CCONJ
ejpam-5464	22	15	correlations	correlation	NOUN
ejpam-5464	22	16	.	.	PUNCT
ejpam-5464	23	1	the	the	DET
ejpam-5464	23	2	flexibility	flexibility	NOUN
ejpam-5464	23	3	of	of	ADP
ejpam-5464	23	4	the	the	DET
ejpam-5464	23	5	analysis	analysis	NOUN
ejpam-5464	23	6	is	be	AUX
ejpam-5464	23	7	increased	increase	VERB
ejpam-5464	23	8	through	through	ADP
ejpam-5464	23	9	the	the	DET
ejpam-5464	23	10	incorporation	incorporation	NOUN
ejpam-5464	23	11	of	of	ADP
ejpam-5464	23	12	rough	rough	ADJ
ejpam-5464	23	13	sets	set	NOUN
ejpam-5464	23	14	,	,	PUNCT
ejpam-5464	23	15	and	and	CCONJ
ejpam-5464	23	16	theoretical	theoretical	ADJ
ejpam-5464	23	17	structure	structure	NOUN
ejpam-5464	23	18	for	for	ADP
ejpam-5464	23	19	handling	handle	VERB
ejpam-5464	23	20	imprecision	imprecision	NOUN
ejpam-5464	23	21	and	and	CCONJ
ejpam-5464	23	22	uncertainty	uncertainty	NOUN
ejpam-5464	23	23	.	.	PUNCT
ejpam-5464	24	1	by	by	ADP
ejpam-5464	24	2	combining	combine	VERB
ejpam-5464	24	3	the	the	DET
ejpam-5464	24	4	best	good	ADJ
ejpam-5464	24	5	features	feature	NOUN
ejpam-5464	24	6	of	of	ADP
ejpam-5464	24	7	both	both	DET
ejpam-5464	24	8	methods	method	NOUN
ejpam-5464	24	9	,	,	PUNCT
ejpam-5464	24	10	this	this	DET
ejpam-5464	24	11	synergy	synergy	NOUN
ejpam-5464	24	12	enables	enable	VERB
ejpam-5464	24	13	a	a	DET
ejpam-5464	24	14	more	more	ADV
ejpam-5464	24	15	thorough	thorough	ADJ
ejpam-5464	24	16	comprehension	comprehension	NOUN
ejpam-5464	24	17	of	of	ADP
ejpam-5464	24	18	complex	complex	ADJ
ejpam-5464	24	19	medical	medical	ADJ
ejpam-5464	24	20	data	datum	NOUN
ejpam-5464	24	21	.	.	PUNCT
ejpam-5464	25	1	the	the	DET
ejpam-5464	25	2	granularity	granularity	NOUN
ejpam-5464	25	3	of	of	ADP
ejpam-5464	25	4	interactions	interaction	NOUN
ejpam-5464	25	5	between	between	ADP
ejpam-5464	25	6	parts	part	NOUN
ejpam-5464	25	7	can	can	AUX
ejpam-5464	25	8	be	be	AUX
ejpam-5464	25	9	changed	change	VERB
ejpam-5464	25	10	via	via	ADP
ejpam-5464	25	11	the	the	DET
ejpam-5464	25	12	neighborhood	neighborhood	NOUN
ejpam-5464	25	13	systems	system	NOUN
ejpam-5464	25	14	lens	lens	NOUN
ejpam-5464	25	15	to	to	PART
ejpam-5464	25	16	accommodate	accommodate	VERB
ejpam-5464	25	17	different	different	ADJ
ejpam-5464	25	18	levels	level	NOUN
ejpam-5464	25	19	of	of	ADP
ejpam-5464	25	20	abstraction	abstraction	NOUN
ejpam-5464	25	21	needed	need	VERB
ejpam-5464	25	22	for	for	ADP
ejpam-5464	25	23	medical	medical	ADJ
ejpam-5464	25	24	applications	application	NOUN
ejpam-5464	25	25	.	.	PUNCT
ejpam-5464	26	1	the	the	DET
ejpam-5464	26	2	importance	importance	NOUN
ejpam-5464	26	3	of	of	ADP
ejpam-5464	26	4	this	this	DET
ejpam-5464	26	5	undertaking	undertaking	NOUN
ejpam-5464	26	6	is	be	AUX
ejpam-5464	26	7	further	far	ADV
ejpam-5464	26	8	highlighted	highlight	VERB
ejpam-5464	26	9	by	by	ADP
ejpam-5464	26	10	the	the	DET
ejpam-5464	26	11	context	context	NOUN
ejpam-5464	26	12	of	of	ADP
ejpam-5464	26	13	medical	medical	ADJ
ejpam-5464	26	14	models	model	NOUN
ejpam-5464	26	15	.	.	PUNCT
ejpam-5464	27	1	medical	medical	ADJ
ejpam-5464	27	2	data	datum	NOUN
ejpam-5464	27	3	is	be	AUX
ejpam-5464	27	4	intrinsically	intrinsically	ADV
ejpam-5464	27	5	complex	complex	ADJ
ejpam-5464	27	6	,	,	PUNCT
ejpam-5464	27	7	frequently	frequently	ADV
ejpam-5464	27	8	involving	involve	VERB
ejpam-5464	27	9	complex	complex	ADJ
ejpam-5464	27	10	relationships	relationship	NOUN
ejpam-5464	27	11	between	between	ADP
ejpam-5464	27	12	factors	factor	NOUN
ejpam-5464	27	13	.	.	PUNCT
ejpam-5464	28	1	in	in	ADP
ejpam-5464	28	2	information	information	NOUN
ejpam-5464	28	3	systems	system	NOUN
ejpam-5464	28	4	,	,	PUNCT
ejpam-5464	28	5	several	several	ADJ
ejpam-5464	28	6	math	math	NOUN
ejpam-5464	28	7	tools	tool	NOUN
ejpam-5464	28	8	can	can	AUX
ejpam-5464	28	9	be	be	AUX
ejpam-5464	28	10	used	use	VERB
ejpam-5464	28	11	to	to	PART
ejpam-5464	28	12	handle	handle	VERB
ejpam-5464	28	13	knowledge	knowledge	NOUN
ejpam-5464	28	14	that	that	PRON
ejpam-5464	28	15	is	be	AUX
ejpam-5464	28	16	not	not	PART
ejpam-5464	28	17	exact	exact	ADJ
ejpam-5464	28	18	or	or	CCONJ
ejpam-5464	28	19	certain	certain	ADJ
ejpam-5464	28	20	.	.	PUNCT
ejpam-5464	29	1	some	some	PRON
ejpam-5464	29	2	of	of	ADP
ejpam-5464	29	3	these	these	DET
ejpam-5464	29	4	tools	tool	NOUN
ejpam-5464	29	5	include	include	VERB
ejpam-5464	29	6	rough	rough	ADJ
ejpam-5464	29	7	sets	set	NOUN
ejpam-5464	29	8	[	[	X
ejpam-5464	29	9	29	29	NUM
ejpam-5464	29	10	]	]	PUNCT
ejpam-5464	29	11	and	and	CCONJ
ejpam-5464	29	12	fuzzy	fuzzy	ADJ
ejpam-5464	29	13	sets	set	NOUN
ejpam-5464	29	14	[	[	X
ejpam-5464	29	15	45	45	NUM
ejpam-5464	29	16	]	]	PUNCT
ejpam-5464	29	17	.	.	PUNCT
ejpam-5464	30	1	rough	rough	ADJ
ejpam-5464	30	2	set	set	NOUN
ejpam-5464	30	3	theory	theory	NOUN
ejpam-5464	30	4	(	(	PUNCT
ejpam-5464	30	5	for	for	ADP
ejpam-5464	30	6	short	short	ADJ
ejpam-5464	30	7	rst	rst	PROPN
ejpam-5464	30	8	)	)	PUNCT
ejpam-5464	30	9	was	be	AUX
ejpam-5464	30	10	created	create	VERB
ejpam-5464	30	11	by	by	ADP
ejpam-5464	30	12	pawlak	pawlak	ADJ
ejpam-5464	30	13	[	[	X
ejpam-5464	30	14	28	28	NUM
ejpam-5464	30	15	]	]	PUNCT
ejpam-5464	30	16	to	to	PART
ejpam-5464	30	17	help	help	VERB
ejpam-5464	30	18	with	with	ADP
ejpam-5464	30	19	incomplete	incomplete	ADJ
ejpam-5464	30	20	and	and	CCONJ
ejpam-5464	30	21	uncertain	uncertain	ADJ
ejpam-5464	30	22	information	information	NOUN
ejpam-5464	30	23	.	.	PUNCT
ejpam-5464	31	1	many	many	ADJ
ejpam-5464	31	2	researchers	researcher	NOUN
ejpam-5464	31	3	in	in	ADP
ejpam-5464	31	4	various	various	ADJ
ejpam-5464	31	5	fields	field	NOUN
ejpam-5464	31	6	have	have	AUX
ejpam-5464	31	7	shown	show	VERB
ejpam-5464	31	8	interest	interest	NOUN
ejpam-5464	31	9	in	in	ADP
ejpam-5464	31	10	rst	rst	PROPN
ejpam-5464	31	11	and	and	CCONJ
ejpam-5464	31	12	its	its	PRON
ejpam-5464	31	13	applications	application	NOUN
ejpam-5464	31	14	[	[	X
ejpam-5464	31	15	8	8	NUM
ejpam-5464	31	16	,	,	PUNCT
ejpam-5464	31	17	9	9	NUM
ejpam-5464	31	18	]	]	PUNCT
ejpam-5464	31	19	.	.	PUNCT
ejpam-5464	32	1	moreover	moreover	ADV
ejpam-5464	32	2	,	,	PUNCT
ejpam-5464	32	3	pawlak	pawlak	ADJ
ejpam-5464	32	4	investigated	investigate	VERB
ejpam-5464	32	5	the	the	DET
ejpam-5464	32	6	relationship	relationship	NOUN
ejpam-5464	32	7	between	between	ADP
ejpam-5464	32	8	topology	topology	NOUN
ejpam-5464	32	9	and	and	CCONJ
ejpam-5464	32	10	its	its	PRON
ejpam-5464	32	11	generalization	generalization	NOUN
ejpam-5464	32	12	.	.	PUNCT
ejpam-5464	33	1	the	the	DET
ejpam-5464	33	2	indiscernibility	indiscernibility	NOUN
ejpam-5464	33	3	relation	relation	NOUN
ejpam-5464	33	4	is	be	AUX
ejpam-5464	33	5	the	the	DET
ejpam-5464	33	6	basic	basic	ADJ
ejpam-5464	33	7	idea	idea	NOUN
ejpam-5464	33	8	of	of	ADP
ejpam-5464	33	9	pawlak	pawlak	ADJ
ejpam-5464	33	10	,	,	PUNCT
ejpam-5464	33	11	it	it	PRON
ejpam-5464	33	12	was	be	AUX
ejpam-5464	33	13	explained	explain	VERB
ejpam-5464	33	14	using	use	VERB
ejpam-5464	33	15	the	the	DET
ejpam-5464	33	16	concept	concept	NOUN
ejpam-5464	33	17	of	of	ADP
ejpam-5464	33	18	equivalence	equivalence	NOUN
ejpam-5464	33	19	relation	relation	NOUN
ejpam-5464	33	20	.	.	PUNCT
ejpam-5464	34	1	however	however	ADV
ejpam-5464	34	2	,	,	PUNCT
ejpam-5464	34	3	the	the	DET
ejpam-5464	34	4	need	need	NOUN
ejpam-5464	34	5	for	for	ADP
ejpam-5464	34	6	something	something	PRON
ejpam-5464	34	7	called	call	VERB
ejpam-5464	34	8	equivalence	equivalence	NOUN
ejpam-5464	34	9	relation	relation	NOUN
ejpam-5464	34	10	like	like	ADP
ejpam-5464	34	11	the	the	DET
ejpam-5464	34	12	rule	rule	NOUN
ejpam-5464	34	13	of	of	ADP
ejpam-5464	34	14	indiscernibility	indiscernibility	NOUN
ejpam-5464	34	15	,	,	PUNCT
ejpam-5464	34	16	makes	make	VERB
ejpam-5464	34	17	things	thing	NOUN
ejpam-5464	34	18	more	more	ADV
ejpam-5464	34	19	difficult	difficult	ADJ
ejpam-5464	34	20	and	and	CCONJ
ejpam-5464	34	21	puts	put	VERB
ejpam-5464	34	22	limits	limit	NOUN
ejpam-5464	34	23	on	on	ADP
ejpam-5464	34	24	what	what	PRON
ejpam-5464	34	25	can	can	AUX
ejpam-5464	34	26	be	be	AUX
ejpam-5464	34	27	done	do	VERB
ejpam-5464	34	28	in	in	ADP
ejpam-5464	34	29	many	many	ADJ
ejpam-5464	34	30	situations	situation	NOUN
ejpam-5464	34	31	.	.	PUNCT
ejpam-5464	35	1	so	so	ADV
ejpam-5464	35	2	,	,	PUNCT
ejpam-5464	35	3	the	the	DET
ejpam-5464	35	4	equivalence	equivalence	NOUN
ejpam-5464	35	5	relation	relation	NOUN
ejpam-5464	35	6	is	be	AUX
ejpam-5464	35	7	used	use	VERB
ejpam-5464	35	8	for	for	ADP
ejpam-5464	35	9	different	different	ADJ
ejpam-5464	35	10	kinds	kind	NOUN
ejpam-5464	35	11	of	of	ADP
ejpam-5464	35	12	relations	relation	NOUN
ejpam-5464	35	13	,	,	PUNCT
ejpam-5464	35	14	like	like	ADP
ejpam-5464	35	15	arbitrary	arbitrary	ADJ
ejpam-5464	35	16	relation	relation	NOUN
ejpam-5464	35	17	[	[	X
ejpam-5464	35	18	42	42	NUM
ejpam-5464	35	19	]	]	PUNCT
ejpam-5464	35	20	,	,	PUNCT
ejpam-5464	35	21	fuzzy	fuzzy	ADJ
ejpam-5464	35	22	relations	relation	NOUN
ejpam-5464	36	1	[	[	X
ejpam-5464	36	2	21	21	NUM
ejpam-5464	36	3	]	]	PUNCT
ejpam-5464	36	4	,	,	PUNCT
ejpam-5464	36	5	similarity	similarity	NOUN
ejpam-5464	36	6	relation	relation	NOUN
ejpam-5464	36	7	[	[	X
ejpam-5464	36	8	30	30	NUM
ejpam-5464	36	9	]	]	PUNCT
ejpam-5464	36	10	,	,	PUNCT
ejpam-5464	36	11	tolerance	tolerance	NOUN
ejpam-5464	36	12	relation	relation	NOUN
ejpam-5464	37	1	[	[	X
ejpam-5464	37	2	43	43	NUM
ejpam-5464	37	3	]	]	PUNCT
ejpam-5464	37	4	,	,	PUNCT
ejpam-5464	37	5	and	and	CCONJ
ejpam-5464	37	6	covering	covering	NOUN
ejpam-5464	37	7	of	of	ADP
ejpam-5464	37	8	the	the	DET
ejpam-5464	37	9	universal	universal	ADJ
ejpam-5464	37	10	sets	set	NOUN
ejpam-5464	37	11	[	[	X
ejpam-5464	37	12	11	11	NUM
ejpam-5464	37	13	]	]	PUNCT
ejpam-5464	37	14	.	.	PUNCT
ejpam-5464	38	1	one	one	NUM
ejpam-5464	38	2	of	of	ADP
ejpam-5464	38	3	the	the	DET
ejpam-5464	38	4	most	most	ADV
ejpam-5464	38	5	crucial	crucial	ADJ
ejpam-5464	38	6	and	and	CCONJ
ejpam-5464	38	7	vital	vital	ADJ
ejpam-5464	38	8	areas	area	NOUN
ejpam-5464	38	9	of	of	ADP
ejpam-5464	38	10	mathematics	mathematics	PROPN
ejpam-5464	38	11	is	be	AUX
ejpam-5464	38	12	topology	topology	NOUN
ejpam-5464	38	13	.	.	PUNCT
ejpam-5464	39	1	in	in	ADP
ejpam-5464	39	2	system	system	NOUN
ejpam-5464	39	3	analysis	analysis	NOUN
ejpam-5464	39	4	,	,	PUNCT
ejpam-5464	39	5	topological	topological	ADJ
ejpam-5464	39	6	structures	structure	NOUN
ejpam-5464	39	7	and	and	CCONJ
ejpam-5464	39	8	their	their	PRON
ejpam-5464	39	9	generalizations	generalization	NOUN
ejpam-5464	39	10	are	be	AUX
ejpam-5464	39	11	regarded	regard	VERB
ejpam-5464	39	12	as	as	ADP
ejpam-5464	39	13	fundamental	fundamental	ADJ
ejpam-5464	39	14	definitions	definition	NOUN
ejpam-5464	39	15	and	and	CCONJ
ejpam-5464	39	16	theorems	theorem	NOUN
ejpam-5464	39	17	[	[	X
ejpam-5464	39	18	16	16	NUM
ejpam-5464	39	19	]	]	PUNCT
ejpam-5464	39	20	.	.	PUNCT
ejpam-5464	40	1	many	many	ADJ
ejpam-5464	40	2	of	of	ADP
ejpam-5464	40	3	these	these	DET
ejpam-5464	40	4	structures	structure	NOUN
ejpam-5464	40	5	have	have	VERB
ejpam-5464	40	6	applications	application	NOUN
ejpam-5464	40	7	in	in	ADP
ejpam-5464	40	8	analysis	analysis	NOUN
ejpam-5464	40	9	[	[	X
ejpam-5464	40	10	34	34	NUM
ejpam-5464	40	11	]	]	PUNCT
ejpam-5464	40	12	,	,	PUNCT
ejpam-5464	40	13	chemistry	chemistry	NOUN
ejpam-5464	41	1	[	[	X
ejpam-5464	41	2	6	6	NUM
ejpam-5464	41	3	]	]	PUNCT
ejpam-5464	41	4	,	,	PUNCT
ejpam-5464	41	5	and	and	CCONJ
ejpam-5464	41	6	physics	physics	NOUN
ejpam-5464	41	7	[	[	X
ejpam-5464	41	8	14	14	NUM
ejpam-5464	41	9	]	]	PUNCT
ejpam-5464	41	10	.	.	PUNCT
ejpam-5464	42	1	many	many	ADJ
ejpam-5464	42	2	academics	academic	NOUN
ejpam-5464	42	3	have	have	AUX
ejpam-5464	42	4	turned	turn	VERB
ejpam-5464	42	5	to	to	ADP
ejpam-5464	42	6	topological	topological	ADJ
ejpam-5464	42	7	methods	method	NOUN
ejpam-5464	42	8	in	in	ADP
ejpam-5464	42	9	recent	recent	ADJ
ejpam-5464	42	10	years	year	NOUN
ejpam-5464	42	11	to	to	PART
ejpam-5464	42	12	examine	examine	VERB
ejpam-5464	42	13	rough	rough	ADJ
ejpam-5464	42	14	sets	set	NOUN
ejpam-5464	42	15	and	and	CCONJ
ejpam-5464	42	16	their	their	PRON
ejpam-5464	42	17	applications	application	NOUN
ejpam-5464	42	18	.	.	PUNCT
ejpam-5464	43	1	topics	topic	NOUN
ejpam-5464	43	2	including	include	VERB
ejpam-5464	43	3	the	the	DET
ejpam-5464	43	4	relationship	relationship	NOUN
ejpam-5464	43	5	between	between	ADP
ejpam-5464	43	6	rst	rst	PROPN
ejpam-5464	43	7	and	and	CCONJ
ejpam-5464	43	8	topological	topological	ADJ
ejpam-5464	43	9	spaces	space	NOUN
ejpam-5464	43	10	and	and	CCONJ
ejpam-5464	43	11	the	the	DET
ejpam-5464	43	12	characteristics	characteristic	NOUN
ejpam-5464	43	13	of	of	ADP
ejpam-5464	43	14	topological	topological	ADJ
ejpam-5464	43	15	rough	rough	ADJ
ejpam-5464	43	16	sets	set	NOUN
ejpam-5464	43	17	are	be	AUX
ejpam-5464	43	18	introduced	introduce	VERB
ejpam-5464	43	19	[	[	PUNCT
ejpam-5464	43	20	39	39	NUM
ejpam-5464	43	21	]	]	PUNCT
ejpam-5464	43	22	.	.	PUNCT
ejpam-5464	44	1	lin	lin	PROPN
ejpam-5464	45	1	[	[	X
ejpam-5464	45	2	18	18	NUM
ejpam-5464	45	3	,	,	PUNCT
ejpam-5464	45	4	20	20	NUM
ejpam-5464	45	5	]	]	PUNCT
ejpam-5464	45	6	investigated	investigate	VERB
ejpam-5464	45	7	approximations	approximation	NOUN
ejpam-5464	45	8	using	use	VERB
ejpam-5464	45	9	neighborhood	neighborhood	NOUN
ejpam-5464	45	10	systems	system	NOUN
ejpam-5464	45	11	and	and	CCONJ
ejpam-5464	45	12	topological	topological	ADJ
ejpam-5464	45	13	concepts	concept	NOUN
ejpam-5464	45	14	.	.	PUNCT
ejpam-5464	46	1	binary	binary	ADJ
ejpam-5464	46	2	relations	relation	NOUN
ejpam-5464	46	3	can	can	AUX
ejpam-5464	46	4	also	also	ADV
ejpam-5464	46	5	create	create	VERB
ejpam-5464	46	6	neighborhood	neighborhood	NOUN
ejpam-5464	46	7	systems	system	NOUN
ejpam-5464	46	8	.	.	PUNCT
ejpam-5464	47	1	the	the	DET
ejpam-5464	47	2	equivalence	equivalence	NOUN
ejpam-5464	47	3	class	class	NOUN
ejpam-5464	47	4	of	of	ADP
ejpam-5464	47	5	any	any	DET
ejpam-5464	47	6	element	element	NOUN
ejpam-5464	47	7	in	in	ADP
ejpam-5464	47	8	the	the	DET
ejpam-5464	47	9	equivalence	equivalence	NOUN
ejpam-5464	47	10	relation	relation	NOUN
ejpam-5464	47	11	can	can	AUX
ejpam-5464	47	12	be	be	AUX
ejpam-5464	47	13	thought	think	VERB
ejpam-5464	47	14	of	of	ADP
ejpam-5464	47	15	as	as	ADP
ejpam-5464	47	16	this	this	DET
ejpam-5464	47	17	element	element	NOUN
ejpam-5464	47	18	’s	’s	PART
ejpam-5464	47	19	neighborhood	neighborhood	NOUN
ejpam-5464	48	1	[	[	X
ejpam-5464	48	2	27	27	NUM
ejpam-5464	48	3	]	]	PUNCT
ejpam-5464	48	4	.	.	PUNCT
ejpam-5464	49	1	the	the	DET
ejpam-5464	49	2	minimal	minimal	ADJ
ejpam-5464	49	3	structure	structure	NOUN
ejpam-5464	49	4	of	of	ADP
ejpam-5464	49	5	rst	rst	PROPN
ejpam-5464	49	6	and	and	CCONJ
ejpam-5464	49	7	topology	topology	NOUN
ejpam-5464	49	8	are	be	AUX
ejpam-5464	49	9	investigated	investigate	VERB
ejpam-5464	49	10	in	in	ADP
ejpam-5464	49	11	[	[	X
ejpam-5464	49	12	13	13	NUM
ejpam-5464	49	13	]	]	PUNCT
ejpam-5464	49	14	and	and	CCONJ
ejpam-5464	49	15	various	various	ADJ
ejpam-5464	49	16	applications	application	NOUN
ejpam-5464	49	17	are	be	AUX
ejpam-5464	49	18	presented	present	VERB
ejpam-5464	49	19	in	in	ADP
ejpam-5464	49	20	[	[	X
ejpam-5464	49	21	4	4	NUM
ejpam-5464	49	22	]	]	PUNCT
ejpam-5464	49	23	.	.	PUNCT
ejpam-5464	50	1	the	the	DET
ejpam-5464	50	2	basic	basic	ADJ
ejpam-5464	50	3	concept	concept	NOUN
ejpam-5464	50	4	of	of	ADP
ejpam-5464	50	5	rst	rst	PROPN
ejpam-5464	50	6	is	be	AUX
ejpam-5464	50	7	that	that	SCONJ
ejpam-5464	50	8	there	there	PRON
ejpam-5464	50	9	are	be	VERB
ejpam-5464	50	10	dual	dual	ADJ
ejpam-5464	50	11	approximations	approximation	NOUN
ejpam-5464	50	12	,	,	PUNCT
ejpam-5464	50	13	which	which	PRON
ejpam-5464	50	14	are	be	AUX
ejpam-5464	50	15	created	create	VERB
ejpam-5464	50	16	utilizing	utilize	VERB
ejpam-5464	50	17	right	right	ADJ
ejpam-5464	50	18	neighborhood	neighborhood	NOUN
ejpam-5464	50	19	,	,	PUNCT
ejpam-5464	50	20	left	leave	VERB
ejpam-5464	50	21	neighborhood	neighborhood	NOUN
ejpam-5464	51	1	[	[	X
ejpam-5464	51	2	41	41	NUM
ejpam-5464	51	3	]	]	PUNCT
ejpam-5464	51	4	,	,	PUNCT
ejpam-5464	51	5	minimal	minimal	ADJ
ejpam-5464	51	6	right	right	ADJ
ejpam-5464	51	7	neighborhood	neighborhood	NOUN
ejpam-5464	52	1	[	[	X
ejpam-5464	52	2	2	2	NUM
ejpam-5464	52	3	]	]	PUNCT
ejpam-5464	52	4	,	,	PUNCT
ejpam-5464	52	5	and	and	CCONJ
ejpam-5464	52	6	minimal	minimal	ADJ
ejpam-5464	52	7	left	leave	VERB
ejpam-5464	52	8	neighborhood	neighborhood	NOUN
ejpam-5464	53	1	[	[	X
ejpam-5464	53	2	3	3	NUM
ejpam-5464	53	3	]	]	PUNCT
ejpam-5464	53	4	.	.	PUNCT
ejpam-5464	54	1	some	some	DET
ejpam-5464	54	2	types	type	NOUN
ejpam-5464	54	3	of	of	ADP
ejpam-5464	54	4	neighborhoods	neighborhood	NOUN
ejpam-5464	54	5	termed	term	VERB
ejpam-5464	54	6	ej	ej	AUX
ejpam-5464	54	7	-	-	NOUN
ejpam-5464	54	8	neighborhoods	neighborhood	NOUN
ejpam-5464	54	9	are	be	AUX
ejpam-5464	54	10	established	establish	VERB
ejpam-5464	55	1	[	[	PUNCT
ejpam-5464	55	2	38	38	NUM
ejpam-5464	55	3	]	]	PUNCT
ejpam-5464	55	4	.	.	PUNCT
ejpam-5464	56	1	several	several	ADJ
ejpam-5464	56	2	types	type	NOUN
ejpam-5464	56	3	of	of	ADP
ejpam-5464	56	4	neighborhoods	neighborhood	NOUN
ejpam-5464	56	5	are	be	AUX
ejpam-5464	56	6	called	call	VERB
ejpam-5464	56	7	cj	cj	NOUN
ejpam-5464	56	8	-	-	NOUN
ejpam-5464	56	9	neighborhoods	neighborhood	NOUN
ejpam-5464	56	10	which	which	PRON
ejpam-5464	56	11	were	be	AUX
ejpam-5464	56	12	investigated	investigate	VERB
ejpam-5464	56	13	in	in	ADP
ejpam-5464	56	14	applications	application	NOUN
ejpam-5464	56	15	for	for	ADP
ejpam-5464	56	16	medicine	medicine	NOUN
ejpam-5464	56	17	by	by	ADP
ejpam-5464	56	18	al	al	PROPN
ejpam-5464	56	19	-	-	PUNCT
ejpam-5464	56	20	shami	shami	PROPN
ejpam-5464	57	1	[	[	X
ejpam-5464	57	2	36	36	NUM
ejpam-5464	57	3	]	]	PUNCT
ejpam-5464	57	4	.	.	PUNCT
ejpam-5464	58	1	moreover	moreover	ADV
ejpam-5464	58	2	,	,	PUNCT
ejpam-5464	58	3	al	al	PROPN
ejpam-5464	58	4	-	-	PUNCT
ejpam-5464	58	5	shami	shami	PROPN
ejpam-5464	58	6	[	[	X
ejpam-5464	58	7	37	37	NUM
ejpam-5464	58	8	]	]	PUNCT
ejpam-5464	58	9	researched	research	VERB
ejpam-5464	58	10	the	the	DET
ejpam-5464	58	11	features	feature	NOUN
ejpam-5464	58	12	and	and	CCONJ
ejpam-5464	58	13	applications	application	NOUN
ejpam-5464	58	14	of	of	ADP
ejpam-5464	58	15	maximum	maximum	ADJ
ejpam-5464	58	16	neighborhoods	neighborhood	NOUN
ejpam-5464	58	17	in	in	ADP
ejpam-5464	58	18	medicine	medicine	NOUN
ejpam-5464	58	19	.	.	PUNCT
ejpam-5464	59	1	shbair	shbair	VERB
ejpam-5464	59	2	et	et	PROPN
ejpam-5464	59	3	al	al	PROPN
ejpam-5464	60	1	[	[	X
ejpam-5464	60	2	35	35	NUM
ejpam-5464	60	3	]	]	PUNCT
ejpam-5464	60	4	investigate	investigate	VERB
ejpam-5464	60	5	minimal	minimal	ADJ
ejpam-5464	60	6	structure	structure	NOUN
ejpam-5464	60	7	as	as	ADV
ejpam-5464	60	8	well	well	ADV
ejpam-5464	60	9	as	as	ADP
ejpam-5464	60	10	minimal	minimal	ADJ
ejpam-5464	60	11	right	right	ADJ
ejpam-5464	60	12	,	,	PUNCT
ejpam-5464	60	13	minimal	minimal	ADJ
ejpam-5464	60	14	left	leave	VERB
ejpam-5464	60	15	,	,	PUNCT
ejpam-5464	60	16	minimal	minimal	ADJ
ejpam-5464	60	17	intersection	intersection	NOUN
ejpam-5464	60	18	,	,	PUNCT
ejpam-5464	60	19	and	and	CCONJ
ejpam-5464	60	20	minimal	minimal	ADJ
ejpam-5464	60	21	union	union	NOUN
ejpam-5464	60	22	neighborhoods	neighborhood	NOUN
ejpam-5464	60	23	,	,	PUNCT
ejpam-5464	60	24	and	and	CCONJ
ejpam-5464	60	25	some	some	DET
ejpam-5464	60	26	application	application	NOUN
ejpam-5464	60	27	of	of	ADP
ejpam-5464	60	28	the	the	DET
ejpam-5464	60	29	human	human	ADJ
ejpam-5464	60	30	heart	heart	NOUN
ejpam-5464	60	31	is	be	AUX
ejpam-5464	60	32	studied	study	VERB
ejpam-5464	60	33	.	.	PUNCT
ejpam-5464	61	1	in	in	ADP
ejpam-5464	61	2	2008	2008	NUM
ejpam-5464	61	3	,	,	PUNCT
ejpam-5464	61	4	hung	hang	VERB
ejpam-5464	61	5	conducted	conduct	VERB
ejpam-5464	61	6	research	research	NOUN
ejpam-5464	61	7	on	on	ADP
ejpam-5464	61	8	core	core	ADJ
ejpam-5464	61	9	neighborhood	neighborhood	NOUN
ejpam-5464	61	10	systems	system	NOUN
ejpam-5464	61	11	[	[	X
ejpam-5464	61	12	15	15	NUM
ejpam-5464	61	13	]	]	PUNCT
ejpam-5464	61	14	.	.	PUNCT
ejpam-5464	62	1	the	the	DET
ejpam-5464	62	2	notion	notion	NOUN
ejpam-5464	62	3	of	of	ADP
ejpam-5464	62	4	minimal	minimal	ADJ
ejpam-5464	62	5	neighborhoods	neighborhood	NOUN
ejpam-5464	62	6	by	by	ADP
ejpam-5464	62	7	researching	research	VERB
ejpam-5464	62	8	features	feature	NOUN
ejpam-5464	62	9	of	of	ADP
ejpam-5464	62	10	finite	finite	PROPN
ejpam-5464	62	11	topological	topological	ADJ
ejpam-5464	62	12	spaces	space	NOUN
ejpam-5464	62	13	[	[	X
ejpam-5464	62	14	1	1	NUM
ejpam-5464	62	15	]	]	PUNCT
ejpam-5464	62	16	.	.	PUNCT
ejpam-5464	63	1	additionally	additionally	ADV
ejpam-5464	63	2	,	,	PUNCT
ejpam-5464	63	3	four	four	NUM
ejpam-5464	63	4	types	type	NOUN
ejpam-5464	63	5	of	of	ADP
ejpam-5464	63	6	neighborhoods	neighborhood	NOUN
ejpam-5464	63	7	,	,	PUNCT
ejpam-5464	63	8	core	core	NOUN
ejpam-5464	63	9	neighborhood	neighborhood	NOUN
ejpam-5464	63	10	,	,	PUNCT
ejpam-5464	63	11	minimal	minimal	ADJ
ejpam-5464	63	12	neighborhood	neighborhood	NOUN
ejpam-5464	63	13	,	,	PUNCT
ejpam-5464	63	14	and	and	CCONJ
ejpam-5464	63	15	core	core	NOUN
ejpam-5464	63	16	minimal	minimal	ADJ
ejpam-5464	63	17	neighborhood	neighborhood	NOUN
ejpam-5464	63	18	are	be	AUX
ejpam-5464	63	19	established	establish	VERB
ejpam-5464	63	20	and	and	CCONJ
ejpam-5464	63	21	his	his	PRON
ejpam-5464	63	22	medical	medical	ADJ
ejpam-5464	63	23	application	application	NOUN
ejpam-5464	63	24	using	use	VERB
ejpam-5464	63	25	human	human	ADJ
ejpam-5464	63	26	heart	heart	NOUN
ejpam-5464	63	27	data	datum	NOUN
ejpam-5464	63	28	is	be	AUX
ejpam-5464	63	29	discussed	discuss	VERB
ejpam-5464	63	30	[	[	X
ejpam-5464	63	31	31	31	NUM
ejpam-5464	63	32	]	]	PUNCT
ejpam-5464	63	33	.	.	PUNCT
ejpam-5464	64	1	today	today	NOUN
ejpam-5464	64	2	,	,	PUNCT
ejpam-5464	64	3	the	the	DET
ejpam-5464	64	4	breadth	breadth	NOUN
ejpam-5464	64	5	of	of	ADP
ejpam-5464	64	6	rough	rough	ADJ
ejpam-5464	64	7	set	set	NOUN
ejpam-5464	64	8	applications	application	NOUN
ejpam-5464	64	9	is	be	AUX
ejpam-5464	64	10	significantly	significantly	ADV
ejpam-5464	64	11	broader	broad	ADJ
ejpam-5464	64	12	i.	i.	PROPN
ejpam-5464	64	13	shbair	shbair	PROPN
ejpam-5464	64	14	et	et	PROPN
ejpam-5464	64	15	al	al	PROPN
ejpam-5464	64	16	.	.	PUNCT
ejpam-5464	64	17	/	/	SYM
ejpam-5464	64	18	eur	eur	PROPN
ejpam-5464	64	19	.	.	PUNCT
ejpam-5464	65	1	j.	j.	PROPN
ejpam-5464	65	2	pure	pure	PROPN
ejpam-5464	65	3	appl	appl	PROPN
ejpam-5464	65	4	.	.	PROPN
ejpam-5464	65	5	math	math	PROPN
ejpam-5464	65	6	,	,	PUNCT
ejpam-5464	65	7	17	17	NUM
ejpam-5464	65	8	(	(	PUNCT
ejpam-5464	65	9	4	4	NUM
ejpam-5464	65	10	)	)	PUNCT
ejpam-5464	65	11	(	(	PUNCT
ejpam-5464	65	12	2024	2024	NUM
ejpam-5464	65	13	)	)	PUNCT
ejpam-5464	65	14	,	,	PUNCT
ejpam-5464	65	15	3567	3567	NUM
ejpam-5464	65	16	-	-	SYM
ejpam-5464	65	17	3584	3584	NUM
ejpam-5464	65	18	3569	3569	NUM
ejpam-5464	65	19	than	than	ADP
ejpam-5464	65	20	before	before	ADV
ejpam-5464	65	21	,	,	PUNCT
ejpam-5464	65	22	it	it	PRON
ejpam-5464	65	23	can	can	AUX
ejpam-5464	65	24	be	be	AUX
ejpam-5464	65	25	used	use	VERB
ejpam-5464	65	26	in	in	ADP
ejpam-5464	65	27	various	various	ADJ
ejpam-5464	65	28	scientific	scientific	ADJ
ejpam-5464	65	29	and	and	CCONJ
ejpam-5464	65	30	technical	technical	ADJ
ejpam-5464	65	31	domains	domain	NOUN
ejpam-5464	65	32	including	include	VERB
ejpam-5464	65	33	computer	computer	NOUN
ejpam-5464	65	34	networks	network	NOUN
ejpam-5464	65	35	[	[	X
ejpam-5464	65	36	17	17	NUM
ejpam-5464	65	37	]	]	PUNCT
ejpam-5464	65	38	,	,	PUNCT
ejpam-5464	65	39	missing	miss	VERB
ejpam-5464	65	40	attribute	attribute	NOUN
ejpam-5464	65	41	values	value	NOUN
ejpam-5464	65	42	solution	solution	NOUN
ejpam-5464	65	43	[	[	X
ejpam-5464	65	44	33	33	NUM
ejpam-5464	65	45	]	]	PUNCT
ejpam-5464	65	46	,	,	PUNCT
ejpam-5464	65	47	decision	decision	NOUN
ejpam-5464	65	48	-	-	PUNCT
ejpam-5464	65	49	making	make	VERB
ejpam-5464	65	50	problems	problem	NOUN
ejpam-5464	65	51	[	[	X
ejpam-5464	65	52	10	10	NUM
ejpam-5464	65	53	]	]	PUNCT
ejpam-5464	65	54	,	,	PUNCT
ejpam-5464	65	55	biology	biology	NOUN
ejpam-5464	65	56	[	[	X
ejpam-5464	65	57	26	26	NUM
ejpam-5464	65	58	]	]	PUNCT
ejpam-5464	65	59	,	,	PUNCT
ejpam-5464	65	60	economic	economic	ADJ
ejpam-5464	65	61	fields	field	NOUN
ejpam-5464	65	62	[	[	X
ejpam-5464	65	63	12	12	NUM
ejpam-5464	65	64	]	]	PUNCT
ejpam-5464	65	65	,	,	PUNCT
ejpam-5464	65	66	and	and	CCONJ
ejpam-5464	65	67	decision	decision	NOUN
ejpam-5464	65	68	-	-	PUNCT
ejpam-5464	65	69	making	making	NOUN
ejpam-5464	65	70	for	for	ADP
ejpam-5464	65	71	covid-19	covid-19	PROPN
ejpam-5464	66	1	[	[	X
ejpam-5464	66	2	22	22	NUM
ejpam-5464	66	3	]	]	PUNCT
ejpam-5464	66	4	.	.	PUNCT
ejpam-5464	67	1	in	in	ADP
ejpam-5464	67	2	this	this	DET
ejpam-5464	67	3	paper	paper	NOUN
ejpam-5464	67	4	,	,	PUNCT
ejpam-5464	67	5	the	the	DET
ejpam-5464	67	6	concept	concept	NOUN
ejpam-5464	67	7	of	of	ADP
ejpam-5464	67	8	the	the	DET
ejpam-5464	67	9	core	core	NOUN
ejpam-5464	67	10	minimal	minimal	ADJ
ejpam-5464	67	11	neighborhoods	neighborhood	NOUN
ejpam-5464	67	12	is	be	AUX
ejpam-5464	67	13	used	use	VERB
ejpam-5464	67	14	to	to	PART
ejpam-5464	67	15	provide	provide	VERB
ejpam-5464	67	16	a	a	DET
ejpam-5464	67	17	new	new	ADJ
ejpam-5464	67	18	generalization	generalization	NOUN
ejpam-5464	67	19	for	for	ADP
ejpam-5464	67	20	rst	rst	PROPN
ejpam-5464	67	21	according	accord	VERB
ejpam-5464	67	22	to	to	ADP
ejpam-5464	67	23	general	general	ADJ
ejpam-5464	67	24	relations	relation	NOUN
ejpam-5464	67	25	.	.	PUNCT
ejpam-5464	68	1	four	four	NUM
ejpam-5464	68	2	types	type	NOUN
ejpam-5464	68	3	of	of	ADP
ejpam-5464	68	4	core	core	NOUN
ejpam-5464	68	5	minimal	minimal	ADJ
ejpam-5464	68	6	neighborhoods	neighborhood	NOUN
ejpam-5464	68	7	are	be	AUX
ejpam-5464	68	8	introduced	introduce	VERB
ejpam-5464	68	9	.	.	PUNCT
ejpam-5464	69	1	the	the	DET
ejpam-5464	69	2	attributes	attribute	NOUN
ejpam-5464	69	3	of	of	ADP
ejpam-5464	69	4	the	the	DET
ejpam-5464	69	5	new	new	ADJ
ejpam-5464	69	6	rst	rst	PROPN
ejpam-5464	69	7	are	be	AUX
ejpam-5464	69	8	defined	define	VERB
ejpam-5464	69	9	and	and	CCONJ
ejpam-5464	69	10	compared	compare	VERB
ejpam-5464	69	11	with	with	ADP
ejpam-5464	69	12	the	the	DET
ejpam-5464	69	13	characteristics	characteristic	NOUN
ejpam-5464	69	14	of	of	ADP
ejpam-5464	69	15	different	different	ADJ
ejpam-5464	69	16	methods	method	NOUN
ejpam-5464	69	17	.	.	PUNCT
ejpam-5464	70	1	we	we	PRON
ejpam-5464	70	2	examine	examine	VERB
ejpam-5464	70	3	the	the	DET
ejpam-5464	70	4	relation	relation	NOUN
ejpam-5464	70	5	between	between	ADP
ejpam-5464	70	6	four	four	NUM
ejpam-5464	70	7	approximations	approximation	NOUN
ejpam-5464	70	8	and	and	CCONJ
ejpam-5464	70	9	made	make	VERB
ejpam-5464	70	10	a	a	DET
ejpam-5464	70	11	comparison	comparison	NOUN
ejpam-5464	70	12	between	between	ADP
ejpam-5464	70	13	neighborhood	neighborhood	NOUN
ejpam-5464	70	14	,	,	PUNCT
ejpam-5464	70	15	core	core	NOUN
ejpam-5464	70	16	neighborhood	neighborhood	NOUN
ejpam-5464	70	17	,	,	PUNCT
ejpam-5464	70	18	minimal	minimal	ADJ
ejpam-5464	70	19	neighborhood	neighborhood	NOUN
ejpam-5464	70	20	,	,	PUNCT
ejpam-5464	70	21	and	and	CCONJ
ejpam-5464	70	22	core	core	NOUN
ejpam-5464	70	23	minimal	minimal	ADJ
ejpam-5464	70	24	neighborhood	neighborhood	NOUN
ejpam-5464	70	25	using	use	VERB
ejpam-5464	70	26	four	four	NUM
ejpam-5464	70	27	types	type	NOUN
ejpam-5464	70	28	of	of	ADP
ejpam-5464	70	29	right	right	NOUN
ejpam-5464	70	30	,	,	PUNCT
ejpam-5464	70	31	left	left	ADJ
ejpam-5464	70	32	,	,	PUNCT
ejpam-5464	70	33	union	union	NOUN
ejpam-5464	70	34	,	,	PUNCT
ejpam-5464	70	35	and	and	CCONJ
ejpam-5464	70	36	intersection	intersection	NOUN
ejpam-5464	70	37	neighborhoods	neighborhood	NOUN
ejpam-5464	70	38	and	and	CCONJ
ejpam-5464	70	39	we	we	PRON
ejpam-5464	70	40	found	find	VERB
ejpam-5464	70	41	a	a	DET
ejpam-5464	70	42	relationship	relationship	NOUN
ejpam-5464	70	43	between	between	ADP
ejpam-5464	70	44	them	they	PRON
ejpam-5464	70	45	.	.	PUNCT
ejpam-5464	71	1	we	we	PRON
ejpam-5464	71	2	also	also	ADV
ejpam-5464	71	3	provide	provide	VERB
ejpam-5464	71	4	the	the	DET
ejpam-5464	71	5	relation	relation	NOUN
ejpam-5464	71	6	between	between	ADP
ejpam-5464	71	7	four	four	NUM
ejpam-5464	71	8	types	type	NOUN
ejpam-5464	71	9	of	of	ADP
ejpam-5464	71	10	dual	dual	ADJ
ejpam-5464	71	11	approximation	approximation	NOUN
ejpam-5464	71	12	.	.	PUNCT
ejpam-5464	72	1	the	the	DET
ejpam-5464	72	2	boundary	boundary	ADJ
ejpam-5464	72	3	region	region	NOUN
ejpam-5464	72	4	and	and	CCONJ
ejpam-5464	72	5	accuracy	accuracy	NOUN
ejpam-5464	72	6	are	be	AUX
ejpam-5464	72	7	discussed	discuss	VERB
ejpam-5464	72	8	and	and	CCONJ
ejpam-5464	72	9	the	the	DET
ejpam-5464	72	10	relationship	relationship	NOUN
ejpam-5464	72	11	between	between	ADP
ejpam-5464	72	12	them	they	PRON
ejpam-5464	72	13	is	be	AUX
ejpam-5464	72	14	presented	present	VERB
ejpam-5464	72	15	.	.	PUNCT
ejpam-5464	73	1	additionally	additionally	ADV
ejpam-5464	73	2	,	,	PUNCT
ejpam-5464	73	3	four	four	NUM
ejpam-5464	73	4	types	type	NOUN
ejpam-5464	73	5	of	of	ADP
ejpam-5464	73	6	topologies	topology	NOUN
ejpam-5464	73	7	were	be	AUX
ejpam-5464	73	8	generated	generate	VERB
ejpam-5464	73	9	using	use	VERB
ejpam-5464	73	10	core	core	NOUN
ejpam-5464	73	11	minimal	minimal	ADJ
ejpam-5464	73	12	neighborhood	neighborhood	NOUN
ejpam-5464	73	13	and	and	CCONJ
ejpam-5464	73	14	compared	compare	VERB
ejpam-5464	73	15	them	they	PRON
ejpam-5464	73	16	.	.	PUNCT
ejpam-5464	74	1	application	application	NOUN
ejpam-5464	74	2	of	of	ADP
ejpam-5464	74	3	human	human	ADJ
ejpam-5464	74	4	heart	heart	NOUN
ejpam-5464	74	5	was	be	AUX
ejpam-5464	74	6	introduced	introduce	VERB
ejpam-5464	74	7	,	,	PUNCT
ejpam-5464	74	8	and	and	CCONJ
ejpam-5464	74	9	some	some	DET
ejpam-5464	74	10	topologies	topology	NOUN
ejpam-5464	74	11	generated	generate	VERB
ejpam-5464	74	12	using	use	VERB
ejpam-5464	74	13	core	core	NOUN
ejpam-5464	74	14	minimal	minimal	ADJ
ejpam-5464	74	15	neighborhood	neighborhood	NOUN
ejpam-5464	74	16	were	be	AUX
ejpam-5464	74	17	used	use	VERB
ejpam-5464	74	18	in	in	ADP
ejpam-5464	74	19	blood	blood	NOUN
ejpam-5464	74	20	circulation	circulation	NOUN
ejpam-5464	74	21	.	.	PUNCT
ejpam-5464	75	1	we	we	PRON
ejpam-5464	75	2	suggest	suggest	VERB
ejpam-5464	75	3	that	that	SCONJ
ejpam-5464	75	4	our	our	PRON
ejpam-5464	75	5	method	method	NOUN
ejpam-5464	75	6	is	be	AUX
ejpam-5464	75	7	an	an	DET
ejpam-5464	75	8	extension	extension	NOUN
ejpam-5464	75	9	of	of	ADP
ejpam-5464	75	10	traditional	traditional	ADJ
ejpam-5464	75	11	rst	rst	NOUN
ejpam-5464	75	12	.	.	PUNCT
ejpam-5464	76	1	we	we	PRON
ejpam-5464	76	2	will	will	AUX
ejpam-5464	76	3	use	use	VERB
ejpam-5464	76	4	x	x	PUNCT
ejpam-5464	76	5	to	to	PART
ejpam-5464	76	6	denote	denote	VERB
ejpam-5464	76	7	the	the	DET
ejpam-5464	76	8	universal	universal	ADJ
ejpam-5464	76	9	set	set	NOUN
ejpam-5464	76	10	.	.	PUNCT
ejpam-5464	77	1	2	2	X
ejpam-5464	77	2	.	.	X
ejpam-5464	77	3	preliminaries	preliminary	NOUN
ejpam-5464	77	4	in	in	ADP
ejpam-5464	77	5	this	this	DET
ejpam-5464	77	6	study	study	NOUN
ejpam-5464	77	7	,	,	PUNCT
ejpam-5464	77	8	we	we	PRON
ejpam-5464	77	9	will	will	AUX
ejpam-5464	77	10	review	review	VERB
ejpam-5464	77	11	the	the	DET
ejpam-5464	77	12	definition	definition	NOUN
ejpam-5464	77	13	of	of	ADP
ejpam-5464	77	14	topology	topology	NOUN
ejpam-5464	77	15	and	and	CCONJ
ejpam-5464	77	16	rst	rst	VERB
ejpam-5464	77	17	by	by	ADP
ejpam-5464	77	18	defining	define	VERB
ejpam-5464	77	19	approximation	approximation	NOUN
ejpam-5464	77	20	space	space	NOUN
ejpam-5464	77	21	and	and	CCONJ
ejpam-5464	77	22	dual	dual	ADJ
ejpam-5464	77	23	approximations	approximation	NOUN
ejpam-5464	77	24	as	as	ADP
ejpam-5464	77	25	upper	upper	ADJ
ejpam-5464	77	26	and	and	CCONJ
ejpam-5464	77	27	lower	low	ADJ
ejpam-5464	77	28	approximations	approximation	NOUN
ejpam-5464	77	29	,	,	PUNCT
ejpam-5464	77	30	accuracy	accuracy	NOUN
ejpam-5464	77	31	,	,	PUNCT
ejpam-5464	77	32	four	four	NUM
ejpam-5464	77	33	types	type	NOUN
ejpam-5464	77	34	of	of	ADP
ejpam-5464	77	35	neighborhoods	neighborhood	NOUN
ejpam-5464	77	36	,	,	PUNCT
ejpam-5464	77	37	four	four	NUM
ejpam-5464	77	38	types	type	NOUN
ejpam-5464	77	39	of	of	ADP
ejpam-5464	77	40	core	core	NOUN
ejpam-5464	77	41	neighborhoods	neighborhood	NOUN
ejpam-5464	77	42	,	,	PUNCT
ejpam-5464	77	43	and	and	CCONJ
ejpam-5464	77	44	four	four	NUM
ejpam-5464	77	45	types	type	NOUN
ejpam-5464	77	46	of	of	ADP
ejpam-5464	77	47	minimal	minimal	ADJ
ejpam-5464	77	48	neighborhoods	neighborhood	NOUN
ejpam-5464	77	49	.	.	PUNCT
ejpam-5464	78	1	definition	definition	NOUN
ejpam-5464	78	2	1	1	NUM
ejpam-5464	78	3	.	.	PUNCT
ejpam-5464	79	1	[	[	X
ejpam-5464	79	2	16	16	NUM
ejpam-5464	79	3	]	]	PUNCT
ejpam-5464	79	4	let	let	VERB
ejpam-5464	79	5	τ	τ	PROPN
ejpam-5464	79	6	be	be	AUX
ejpam-5464	79	7	a	a	DET
ejpam-5464	79	8	family	family	NOUN
ejpam-5464	79	9	of	of	ADP
ejpam-5464	79	10	subsets	subset	NOUN
ejpam-5464	79	11	of	of	ADP
ejpam-5464	79	12	x.	x.	PROPN
ejpam-5464	79	13	τ	τ	PROPN
ejpam-5464	79	14	is	be	AUX
ejpam-5464	79	15	a	a	DET
ejpam-5464	79	16	topology	topology	NOUN
ejpam-5464	79	17	on	on	ADP
ejpam-5464	79	18	x	x	SYM
ejpam-5464	79	19	if	if	SCONJ
ejpam-5464	79	20	it	it	PRON
ejpam-5464	79	21	satisfies:(i	satisfies:(i	VERB
ejpam-5464	79	22	)	)	PUNCT
ejpam-5464	80	1	ϕ	ϕ	PROPN
ejpam-5464	81	1	and	and	CCONJ
ejpam-5464	81	2	x	x	NOUN
ejpam-5464	81	3	are	be	AUX
ejpam-5464	81	4	in	in	ADP
ejpam-5464	81	5	τ	τ	PROPN
ejpam-5464	81	6	,	,	PUNCT
ejpam-5464	81	7	(	(	PUNCT
ejpam-5464	81	8	ii	ii	NOUN
ejpam-5464	81	9	)	)	PUNCT
ejpam-5464	81	10	let	let	VERB
ejpam-5464	81	11	bi	bi	PROPN
ejpam-5464	81	12	∈	∈	PROPN
ejpam-5464	81	13	τ	τ	PROPN
ejpam-5464	81	14	for	for	ADP
ejpam-5464	81	15	i	i	PROPN
ejpam-5464	81	16	∈	∈	PROPN
ejpam-5464	81	17	i.	i.	NOUN
ejpam-5464	81	18	then	then	ADV
ejpam-5464	81	19	,	,	PUNCT
ejpam-5464	81	20	⋃	⋃	ADP
ejpam-5464	81	21	i∈i	i∈i	ADJ
ejpam-5464	81	22	bi	bi	PROPN
ejpam-5464	81	23	∈	∈	PROPN
ejpam-5464	81	24	τ	τ	X
ejpam-5464	81	25	,	,	PUNCT
ejpam-5464	81	26	and	and	CCONJ
ejpam-5464	81	27	(	(	PUNCT
ejpam-5464	81	28	iii	iii	NOUN
ejpam-5464	81	29	)	)	PUNCT
ejpam-5464	81	30	let	let	VERB
ejpam-5464	81	31	b1,b2	b1,b2	PROPN
ejpam-5464	81	32	∈	∈	PROPN
ejpam-5464	81	33	τ	τ	X
ejpam-5464	81	34	.	.	PUNCT
ejpam-5464	82	1	then	then	ADV
ejpam-5464	82	2	,	,	PUNCT
ejpam-5464	82	3	b1	b1	VERB
ejpam-5464	82	4	∩b2	∩b2	PROPN
ejpam-5464	82	5	∈	∈	PROPN
ejpam-5464	82	6	τ	τ	X
ejpam-5464	82	7	.	.	PUNCT
ejpam-5464	83	1	pawlak	pawlak	PROPN
ejpam-5464	83	2	[	[	X
ejpam-5464	83	3	19	19	NUM
ejpam-5464	83	4	,	,	PUNCT
ejpam-5464	83	5	29	29	NUM
ejpam-5464	83	6	]	]	PUNCT
ejpam-5464	83	7	defined	define	VERB
ejpam-5464	83	8	the	the	DET
ejpam-5464	83	9	approximation	approximation	NOUN
ejpam-5464	83	10	space	space	NOUN
ejpam-5464	83	11	k	k	PROPN
ejpam-5464	84	1	=	=	SYM
ejpam-5464	84	2	(	(	PUNCT
ejpam-5464	84	3	x,ℵ	x,ℵ	PROPN
ejpam-5464	84	4	)	)	PUNCT
ejpam-5464	84	5	,	,	PUNCT
ejpam-5464	84	6	where	where	SCONJ
ejpam-5464	84	7	ℵ	ℵ	NOUN
ejpam-5464	84	8	is	be	AUX
ejpam-5464	84	9	an	an	DET
ejpam-5464	84	10	equivalence	equivalence	NOUN
ejpam-5464	84	11	relation	relation	NOUN
ejpam-5464	84	12	.	.	PUNCT
ejpam-5464	85	1	this	this	DET
ejpam-5464	85	2	approximation	approximation	NOUN
ejpam-5464	85	3	space	space	NOUN
ejpam-5464	85	4	constitutes	constitute	VERB
ejpam-5464	85	5	a	a	DET
ejpam-5464	85	6	clopen	clopen	ADJ
ejpam-5464	85	7	topological	topological	ADJ
ejpam-5464	85	8	space	space	NOUN
ejpam-5464	85	9	that	that	PRON
ejpam-5464	85	10	arose	arise	VERB
ejpam-5464	85	11	due	due	ADP
ejpam-5464	85	12	to	to	ADP
ejpam-5464	85	13	the	the	DET
ejpam-5464	85	14	need	need	NOUN
ejpam-5464	85	15	to	to	PART
ejpam-5464	85	16	divide	divide	VERB
ejpam-5464	85	17	x	x	PUNCT
ejpam-5464	85	18	as	as	ADP
ejpam-5464	85	19	a	a	DET
ejpam-5464	85	20	partition	partition	NOUN
ejpam-5464	85	21	.	.	PUNCT
ejpam-5464	86	1	we	we	PRON
ejpam-5464	86	2	shall	shall	AUX
ejpam-5464	86	3	define	define	VERB
ejpam-5464	86	4	the	the	DET
ejpam-5464	86	5	equivalence	equivalence	NOUN
ejpam-5464	86	6	class	class	NOUN
ejpam-5464	86	7	containing	contain	VERB
ejpam-5464	86	8	ξ	ξ	PROPN
ejpam-5464	86	9	as	as	ADP
ejpam-5464	86	10	[	[	X
ejpam-5464	86	11	ξ	ξ	X
ejpam-5464	86	12	]	]	X
ejpam-5464	86	13	.	.	PUNCT
ejpam-5464	87	1	in	in	ADP
ejpam-5464	87	2	definition	definition	NOUN
ejpam-5464	87	3	2	2	NUM
ejpam-5464	87	4	,	,	PUNCT
ejpam-5464	87	5	we	we	PRON
ejpam-5464	87	6	will	will	AUX
ejpam-5464	87	7	define	define	VERB
ejpam-5464	87	8	upper	upper	ADJ
ejpam-5464	87	9	and	and	CCONJ
ejpam-5464	87	10	lower	low	ADJ
ejpam-5464	87	11	approximations	approximation	NOUN
ejpam-5464	87	12	.	.	PUNCT
ejpam-5464	88	1	definition	definition	NOUN
ejpam-5464	88	2	2	2	NUM
ejpam-5464	88	3	.	.	PUNCT
ejpam-5464	89	1	[	[	X
ejpam-5464	89	2	29	29	NUM
ejpam-5464	89	3	]	]	PUNCT
ejpam-5464	89	4	let	let	VERB
ejpam-5464	89	5	k	k	X
ejpam-5464	89	6	=	=	SYM
ejpam-5464	89	7	(	(	PUNCT
ejpam-5464	89	8	x,ℵ	x,ℵ	PROPN
ejpam-5464	89	9	)	)	PUNCT
ejpam-5464	89	10	be	be	VERB
ejpam-5464	89	11	an	an	DET
ejpam-5464	89	12	approximation	approximation	NOUN
ejpam-5464	89	13	space	space	NOUN
ejpam-5464	89	14	with	with	ADP
ejpam-5464	89	15	b	b	PROPN
ejpam-5464	89	16	⊆	⊆	NUM
ejpam-5464	89	17	x.	x.	NOUN
ejpam-5464	89	18	the	the	DET
ejpam-5464	89	19	lower	low	ADJ
ejpam-5464	89	20	approximation	approximation	NOUN
ejpam-5464	89	21	is	be	AUX
ejpam-5464	89	22	defined	define	VERB
ejpam-5464	89	23	by	by	ADP
ejpam-5464	89	24	ℵ(b	ℵ(b	NOUN
ejpam-5464	89	25	)	)	PUNCT
ejpam-5464	89	26	=	=	PRON
ejpam-5464	89	27	{	{	PUNCT
ejpam-5464	89	28	ξ	ξ	X
ejpam-5464	89	29	∈	∈	PROPN
ejpam-5464	89	30	x	x	X
ejpam-5464	89	31	:	:	PUNCT
ejpam-5464	90	1	[	[	X
ejpam-5464	90	2	ξ	ξ	X
ejpam-5464	90	3	]	]	X
ejpam-5464	90	4	⊆	⊆	NUM
ejpam-5464	90	5	b	b	NOUN
ejpam-5464	90	6	}	}	PUNCT
ejpam-5464	90	7	,	,	PUNCT
ejpam-5464	90	8	and	and	CCONJ
ejpam-5464	90	9	upper	upper	ADJ
ejpam-5464	90	10	approximation	approximation	NOUN
ejpam-5464	90	11	is	be	AUX
ejpam-5464	90	12	defined	define	VERB
ejpam-5464	90	13	by	by	ADP
ejpam-5464	90	14	ℵ(b	ℵ(b	NOUN
ejpam-5464	90	15	)	)	PUNCT
ejpam-5464	90	16	=	=	PRON
ejpam-5464	90	17	{	{	PUNCT
ejpam-5464	90	18	ξ	ξ	X
ejpam-5464	90	19	∈	∈	PROPN
ejpam-5464	90	20	x	x	X
ejpam-5464	90	21	:	:	PUNCT
ejpam-5464	91	1	[	[	X
ejpam-5464	91	2	ξ	ξ	X
ejpam-5464	91	3	]	]	X
ejpam-5464	91	4	∩b	∩b	NOUN
ejpam-5464	91	5	̸=	̸=	PROPN
ejpam-5464	91	6	ϕ	ϕ	NOUN
ejpam-5464	91	7	}	}	PUNCT
ejpam-5464	91	8	.	.	PUNCT
ejpam-5464	92	1	in	in	ADP
ejpam-5464	92	2	definition	definition	NOUN
ejpam-5464	92	3	2	2	NUM
ejpam-5464	92	4	,	,	PUNCT
ejpam-5464	92	5	x	x	PRON
ejpam-5464	92	6	is	be	AUX
ejpam-5464	92	7	partitioned	partition	VERB
ejpam-5464	92	8	into	into	ADP
ejpam-5464	92	9	three	three	NUM
ejpam-5464	92	10	disjoint	disjoint	ADJ
ejpam-5464	92	11	regions	region	NOUN
ejpam-5464	92	12	in	in	ADP
ejpam-5464	92	13	k	k	PROPN
ejpam-5464	92	14	=	=	SYM
ejpam-5464	92	15	(	(	PUNCT
ejpam-5464	92	16	x,ℵ	x,ℵ	PROPN
ejpam-5464	92	17	)	)	PUNCT
ejpam-5464	92	18	,	,	PUNCT
ejpam-5464	92	19	boundary	boundary	ADJ
ejpam-5464	92	20	region	region	NOUN
ejpam-5464	92	21	bℵ(b	bℵ(b	NOUN
ejpam-5464	92	22	)	)	PUNCT
ejpam-5464	93	1	=	=	SYM
ejpam-5464	93	2	ℵ(b	ℵ(b	NOUN
ejpam-5464	93	3	)	)	PUNCT
ejpam-5464	93	4	−	−	ADP
ejpam-5464	94	1	ℵ(b	ℵ(b	NOUN
ejpam-5464	94	2	)	)	PUNCT
ejpam-5464	94	3	,	,	PUNCT
ejpam-5464	94	4	positive	positive	ADJ
ejpam-5464	94	5	region	region	NOUN
ejpam-5464	94	6	pℵ(b	pℵ(b	NOUN
ejpam-5464	94	7	)	)	PUNCT
ejpam-5464	94	8	=	=	SYM
ejpam-5464	94	9	ℵ(b	ℵ(b	NOUN
ejpam-5464	94	10	)	)	PUNCT
ejpam-5464	94	11	,	,	PUNCT
ejpam-5464	94	12	and	and	CCONJ
ejpam-5464	94	13	negative	negative	ADJ
ejpam-5464	94	14	region	region	NOUN
ejpam-5464	94	15	nℵ(b	nℵ(b	PUNCT
ejpam-5464	94	16	)	)	PUNCT
ejpam-5464	94	17	=	=	SYM
ejpam-5464	94	18	x−	x−	PROPN
ejpam-5464	94	19	ℵ(b	ℵ(b	PROPN
ejpam-5464	94	20	)	)	PUNCT
ejpam-5464	94	21	.	.	PUNCT
ejpam-5464	95	1	definition	definition	NOUN
ejpam-5464	95	2	3	3	NUM
ejpam-5464	95	3	.	.	PUNCT
ejpam-5464	96	1	[	[	X
ejpam-5464	96	2	28	28	NUM
ejpam-5464	96	3	]	]	X
ejpam-5464	96	4	let	let	VERB
ejpam-5464	96	5	k	k	X
ejpam-5464	96	6	=	=	SYM
ejpam-5464	96	7	(	(	PUNCT
ejpam-5464	96	8	x,ℵ	x,ℵ	PROPN
ejpam-5464	96	9	)	)	PUNCT
ejpam-5464	96	10	be	be	VERB
ejpam-5464	96	11	an	an	DET
ejpam-5464	96	12	approximation	approximation	NOUN
ejpam-5464	96	13	space	space	NOUN
ejpam-5464	96	14	with	with	ADP
ejpam-5464	96	15	b	b	PROPN
ejpam-5464	96	16	⊆	⊆	NUM
ejpam-5464	96	17	x.	x.	NOUN
ejpam-5464	96	18	the	the	DET
ejpam-5464	96	19	accuracy	accuracy	NOUN
ejpam-5464	96	20	of	of	ADP
ejpam-5464	96	21	b	b	NOUN
ejpam-5464	96	22	is	be	AUX
ejpam-5464	96	23	defined	define	VERB
ejpam-5464	96	24	by	by	ADP
ejpam-5464	96	25	κ(b	κ(b	NOUN
ejpam-5464	96	26	)	)	PUNCT
ejpam-5464	96	27	=	=	SYM
ejpam-5464	97	1	|ℵ(b)|	|ℵ(b)|	PROPN
ejpam-5464	97	2	|ℵ(b)|	|ℵ(b)|	PROPN
ejpam-5464	97	3	,	,	PUNCT
ejpam-5464	97	4	where	where	SCONJ
ejpam-5464	97	5	|ℵ(b)|	|ℵ(b)|	PROPN
ejpam-5464	97	6	=	=	NOUN
ejpam-5464	97	7	̸	̸	NUM
ejpam-5464	97	8	0	0	NUM
ejpam-5464	98	1	and	and	CCONJ
ejpam-5464	98	2	|.|	|.|	NOUN
ejpam-5464	98	3	denotes	denote	VERB
ejpam-5464	98	4	the	the	DET
ejpam-5464	98	5	cardinality	cardinality	PROPN
ejpam-5464	98	6	.	.	PUNCT
ejpam-5464	99	1	i.	i.	PROPN
ejpam-5464	99	2	shbair	shbair	PROPN
ejpam-5464	99	3	et	et	PROPN
ejpam-5464	99	4	al	al	PROPN
ejpam-5464	99	5	.	.	PUNCT
ejpam-5464	99	6	/	/	SYM
ejpam-5464	99	7	eur	eur	PROPN
ejpam-5464	99	8	.	.	PUNCT
ejpam-5464	100	1	j.	j.	PROPN
ejpam-5464	100	2	pure	pure	PROPN
ejpam-5464	100	3	appl	appl	PROPN
ejpam-5464	100	4	.	.	PROPN
ejpam-5464	100	5	math	math	PROPN
ejpam-5464	100	6	,	,	PUNCT
ejpam-5464	100	7	17	17	NUM
ejpam-5464	100	8	(	(	PUNCT
ejpam-5464	100	9	4	4	NUM
ejpam-5464	100	10	)	)	PUNCT
ejpam-5464	100	11	(	(	PUNCT
ejpam-5464	100	12	2024	2024	NUM
ejpam-5464	100	13	)	)	PUNCT
ejpam-5464	100	14	,	,	PUNCT
ejpam-5464	100	15	3567	3567	NUM
ejpam-5464	100	16	-	-	SYM
ejpam-5464	100	17	3584	3584	NUM
ejpam-5464	100	18	3570	3570	NUM
ejpam-5464	100	19	theorem	theorem	NOUN
ejpam-5464	100	20	1	1	NUM
ejpam-5464	100	21	.	.	PUNCT
ejpam-5464	101	1	[	[	X
ejpam-5464	101	2	29	29	NUM
ejpam-5464	101	3	]	]	PUNCT
ejpam-5464	101	4	let	let	VERB
ejpam-5464	101	5	k	k	X
ejpam-5464	101	6	=	=	SYM
ejpam-5464	101	7	(	(	PUNCT
ejpam-5464	101	8	x,ℵ	x,ℵ	PROPN
ejpam-5464	101	9	)	)	PUNCT
ejpam-5464	101	10	and	and	CCONJ
ejpam-5464	101	11	a	a	PRON
ejpam-5464	101	12	,	,	PUNCT
ejpam-5464	101	13	b	b	PROPN
ejpam-5464	101	14	⊆	⊆	NUM
ejpam-5464	101	15	x	x	SYM
ejpam-5464	101	16	where	where	SCONJ
ejpam-5464	101	17	ac	ac	PROPN
ejpam-5464	101	18	is	be	AUX
ejpam-5464	101	19	the	the	DET
ejpam-5464	101	20	complement	complement	NOUN
ejpam-5464	101	21	of	of	ADP
ejpam-5464	101	22	a.	a.	NOUN
ejpam-5464	101	23	then	then	ADV
ejpam-5464	101	24	,	,	PUNCT
ejpam-5464	101	25	(	(	PUNCT
ejpam-5464	101	26	l1	l1	PROPN
ejpam-5464	101	27	)	)	PUNCT
ejpam-5464	101	28	ℵ(x	ℵ(x	NOUN
ejpam-5464	101	29	)	)	PUNCT
ejpam-5464	102	1	=	=	SYM
ejpam-5464	102	2	x	x	X
ejpam-5464	102	3	,	,	PUNCT
ejpam-5464	102	4	(	(	PUNCT
ejpam-5464	102	5	l1	l1	PROPN
ejpam-5464	102	6	*	*	NUM
ejpam-5464	102	7	)	)	PUNCT
ejpam-5464	102	8	ℵ(x	ℵ(x	NOUN
ejpam-5464	102	9	)	)	PUNCT
ejpam-5464	102	10	=	=	SYM
ejpam-5464	103	1	x	x	X
ejpam-5464	103	2	,	,	PUNCT
ejpam-5464	103	3	(	(	PUNCT
ejpam-5464	103	4	l2	l2	NOUN
ejpam-5464	103	5	)	)	PUNCT
ejpam-5464	103	6	ℵ(ϕ	ℵ(ϕ	NOUN
ejpam-5464	103	7	)	)	PUNCT
ejpam-5464	104	1	=	=	SYM
ejpam-5464	104	2	ϕ	ϕ	NOUN
ejpam-5464	104	3	,	,	PUNCT
ejpam-5464	104	4	(	(	PUNCT
ejpam-5464	104	5	l2	l2	NOUN
ejpam-5464	104	6	*	*	SYM
ejpam-5464	104	7	)	)	PUNCT
ejpam-5464	104	8	ℵ(ϕ	ℵ(ϕ	NOUN
ejpam-5464	104	9	)	)	PUNCT
ejpam-5464	105	1	=	=	SYM
ejpam-5464	105	2	ϕ	ϕ	PROPN
ejpam-5464	105	3	,	,	PUNCT
ejpam-5464	105	4	(	(	PUNCT
ejpam-5464	105	5	l3	l3	NOUN
ejpam-5464	105	6	)	)	PUNCT
ejpam-5464	105	7	ℵ(a	ℵ(a	PROPN
ejpam-5464	105	8	)	)	PUNCT
ejpam-5464	105	9	⊆	⊆	NUM
ejpam-5464	105	10	a	a	PRON
ejpam-5464	105	11	,	,	PUNCT
ejpam-5464	105	12	(	(	PUNCT
ejpam-5464	105	13	l3	l3	NOUN
ejpam-5464	105	14	*	*	NOUN
ejpam-5464	105	15	)	)	PUNCT
ejpam-5464	105	16	a	a	DET
ejpam-5464	105	17	⊆	⊆	NUM
ejpam-5464	105	18	ℵ(a	ℵ(a	NOUN
ejpam-5464	105	19	)	)	PUNCT
ejpam-5464	105	20	,	,	PUNCT
ejpam-5464	105	21	(	(	PUNCT
ejpam-5464	105	22	l4	l4	PROPN
ejpam-5464	105	23	)	)	PUNCT
ejpam-5464	105	24	ℵ(a	ℵ(a	PROPN
ejpam-5464	105	25	)	)	PUNCT
ejpam-5464	105	26	∩	∩	ADJ
ejpam-5464	105	27	ℵ(b	ℵ(b	NOUN
ejpam-5464	105	28	)	)	PUNCT
ejpam-5464	105	29	=	=	SYM
ejpam-5464	105	30	ℵ(a	ℵ(a	NOUN
ejpam-5464	105	31	∩b	∩b	NOUN
ejpam-5464	105	32	)	)	PUNCT
ejpam-5464	105	33	,	,	PUNCT
ejpam-5464	105	34	(	(	PUNCT
ejpam-5464	105	35	l4	l4	PROPN
ejpam-5464	105	36	*	*	PROPN
ejpam-5464	105	37	)	)	PUNCT
ejpam-5464	105	38	ℵ(a	ℵ(a	NOUN
ejpam-5464	105	39	∪b	∪b	X
ejpam-5464	105	40	)	)	PUNCT
ejpam-5464	105	41	=	=	SYM
ejpam-5464	105	42	ℵ(a	ℵ(a	NOUN
ejpam-5464	105	43	)	)	PUNCT
ejpam-5464	105	44	∪	∪	ADP
ejpam-5464	105	45	ℵ(b	ℵ(b	NOUN
ejpam-5464	105	46	)	)	PUNCT
ejpam-5464	105	47	,	,	PUNCT
ejpam-5464	105	48	(	(	PUNCT
ejpam-5464	105	49	l5	l5	PROPN
ejpam-5464	105	50	)	)	PUNCT
ejpam-5464	105	51	ℵ(ac	ℵ(ac	PROPN
ejpam-5464	105	52	)	)	PUNCT
ejpam-5464	105	53	=	=	NOUN
ejpam-5464	106	1	[	[	X
ejpam-5464	106	2	ℵ(a)]c	ℵ(a)]c	NUM
ejpam-5464	106	3	,	,	PUNCT
ejpam-5464	106	4	(	(	PUNCT
ejpam-5464	106	5	l6	l6	NOUN
ejpam-5464	106	6	)	)	PUNCT
ejpam-5464	106	7	ℵ(ℵ(a	ℵ(ℵ(a	PROPN
ejpam-5464	106	8	)	)	PUNCT
ejpam-5464	106	9	)	)	PUNCT
ejpam-5464	107	1	=	=	SYM
ejpam-5464	107	2	ℵ(a	ℵ(a	NOUN
ejpam-5464	107	3	)	)	PUNCT
ejpam-5464	107	4	,	,	PUNCT
ejpam-5464	107	5	(	(	PUNCT
ejpam-5464	107	6	l6	l6	PROPN
ejpam-5464	107	7	*	*	X
ejpam-5464	107	8	)	)	PUNCT
ejpam-5464	107	9	ℵ(ℵ(a	ℵ(ℵ(a	PROPN
ejpam-5464	107	10	)	)	PUNCT
ejpam-5464	107	11	)	)	PUNCT
ejpam-5464	108	1	=	=	SYM
ejpam-5464	108	2	ℵ(a	ℵ(a	NOUN
ejpam-5464	108	3	)	)	PUNCT
ejpam-5464	108	4	,	,	PUNCT
ejpam-5464	108	5	(	(	PUNCT
ejpam-5464	108	6	l7	l7	PROPN
ejpam-5464	108	7	)	)	PUNCT
ejpam-5464	108	8	if	if	SCONJ
ejpam-5464	108	9	a	a	DET
ejpam-5464	108	10	⊆	⊆	NUM
ejpam-5464	108	11	b	b	NOUN
ejpam-5464	108	12	,	,	PUNCT
ejpam-5464	108	13	then	then	ADV
ejpam-5464	108	14	ℵ(a	ℵ(a	NOUN
ejpam-5464	108	15	)	)	PUNCT
ejpam-5464	108	16	⊆	⊆	NUM
ejpam-5464	108	17	ℵ(b	ℵ(b	NOUN
ejpam-5464	108	18	)	)	PUNCT
ejpam-5464	108	19	,	,	PUNCT
ejpam-5464	108	20	(	(	PUNCT
ejpam-5464	108	21	l7	l7	PROPN
ejpam-5464	108	22	*	*	PROPN
ejpam-5464	108	23	)	)	PUNCT
ejpam-5464	108	24	if	if	SCONJ
ejpam-5464	108	25	a	a	DET
ejpam-5464	108	26	⊆	⊆	NUM
ejpam-5464	108	27	b	b	NOUN
ejpam-5464	108	28	,	,	PUNCT
ejpam-5464	108	29	then	then	ADV
ejpam-5464	108	30	ℵ(a	ℵ(a	NOUN
ejpam-5464	108	31	)	)	PUNCT
ejpam-5464	108	32	⊆	⊆	NUM
ejpam-5464	108	33	ℵ(b	ℵ(b	NOUN
ejpam-5464	108	34	)	)	PUNCT
ejpam-5464	108	35	,	,	PUNCT
ejpam-5464	108	36	(	(	PUNCT
ejpam-5464	108	37	l8	l8	PROPN
ejpam-5464	108	38	)	)	PUNCT
ejpam-5464	108	39	ℵ([ℵ(a)]c	ℵ([ℵ(a)]c	NOUN
ejpam-5464	108	40	)	)	PUNCT
ejpam-5464	108	41	=	=	PUNCT
ejpam-5464	109	1	[	[	X
ejpam-5464	109	2	ℵ(a)]c	ℵ(a)]c	NUM
ejpam-5464	109	3	,	,	PUNCT
ejpam-5464	109	4	(	(	PUNCT
ejpam-5464	109	5	l8	l8	PROPN
ejpam-5464	109	6	*	*	NOUN
ejpam-5464	109	7	)	)	PUNCT
ejpam-5464	109	8	ℵ([ℵ(a)]c	ℵ([ℵ(a)]c	NOUN
ejpam-5464	109	9	)	)	PUNCT
ejpam-5464	109	10	=	=	PUNCT
ejpam-5464	110	1	[	[	X
ejpam-5464	110	2	ℵ(a)]c	ℵ(a)]c	NUM
ejpam-5464	110	3	,	,	PUNCT
ejpam-5464	110	4	(	(	PUNCT
ejpam-5464	110	5	l9	l9	PROPN
ejpam-5464	110	6	)	)	PUNCT
ejpam-5464	110	7	ℵ(a	ℵ(a	NOUN
ejpam-5464	110	8	)	)	PUNCT
ejpam-5464	110	9	∪	∪	ADP
ejpam-5464	110	10	ℵ(b	ℵ(b	NOUN
ejpam-5464	110	11	)	)	PUNCT
ejpam-5464	110	12	⊆	⊆	NUM
ejpam-5464	110	13	ℵ(a	ℵ(a	NOUN
ejpam-5464	110	14	∪b	∪b	NUM
ejpam-5464	110	15	)	)	PUNCT
ejpam-5464	110	16	,	,	PUNCT
ejpam-5464	110	17	(	(	PUNCT
ejpam-5464	110	18	l9	l9	PROPN
ejpam-5464	110	19	*	*	PART
ejpam-5464	110	20	)	)	PUNCT
ejpam-5464	110	21	ℵ(a	ℵ(a	PROPN
ejpam-5464	110	22	∩b	∩b	NOUN
ejpam-5464	110	23	)	)	PUNCT
ejpam-5464	110	24	⊆	⊆	NUM
ejpam-5464	110	25	ℵ(a	ℵ(a	NOUN
ejpam-5464	110	26	)	)	PUNCT
ejpam-5464	110	27	∩	∩	ADJ
ejpam-5464	110	28	ℵ(b	ℵ(b	NOUN
ejpam-5464	110	29	)	)	PUNCT
ejpam-5464	110	30	.	.	PUNCT
ejpam-5464	111	1	definition	definition	NOUN
ejpam-5464	111	2	4	4	NUM
ejpam-5464	111	3	.	.	PUNCT
ejpam-5464	112	1	[	[	X
ejpam-5464	112	2	7	7	X
ejpam-5464	112	3	]	]	X
ejpam-5464	112	4	the	the	DET
ejpam-5464	112	5	general	general	ADJ
ejpam-5464	112	6	relation	relation	NOUN
ejpam-5464	112	7	ℵ	ℵ	NOUN
ejpam-5464	112	8	is	be	AUX
ejpam-5464	112	9	called	call	VERB
ejpam-5464	112	10	i	i	PRON
ejpam-5464	112	11	)	)	PUNCT
ejpam-5464	112	12	reflexive	reflexive	VERB
ejpam-5464	112	13	:	:	PUNCT
ejpam-5464	112	14	∀ξ	∀ξ	X
ejpam-5464	112	15	∈	∈	NOUN
ejpam-5464	112	16	x	x	X
ejpam-5464	112	17	,	,	PUNCT
ejpam-5464	112	18	ξℵξ	ξℵξ	NOUN
ejpam-5464	112	19	.	.	PUNCT
ejpam-5464	112	20	ii	ii	NOUN
ejpam-5464	112	21	)	)	PUNCT
ejpam-5464	112	22	symmetric	symmetric	NOUN
ejpam-5464	112	23	:	:	PUNCT
ejpam-5464	112	24	∀ξ	∀ξ	NOUN
ejpam-5464	112	25	,	,	PUNCT
ejpam-5464	112	26	γ	γ	X
ejpam-5464	112	27	∈	∈	NOUN
ejpam-5464	112	28	x	x	X
ejpam-5464	112	29	,	,	PUNCT
ejpam-5464	112	30	if	if	SCONJ
ejpam-5464	112	31	ξℵγ	ξℵγ	PROPN
ejpam-5464	112	32	,	,	PUNCT
ejpam-5464	112	33	then	then	ADV
ejpam-5464	112	34	γℵξ	γℵξ	PROPN
ejpam-5464	112	35	.	.	PUNCT
ejpam-5464	112	36	iii	iii	X
ejpam-5464	112	37	)	)	PUNCT
ejpam-5464	112	38	if	if	SCONJ
ejpam-5464	112	39	(	(	PUNCT
ejpam-5464	112	40	i	i	NOUN
ejpam-5464	112	41	)	)	PUNCT
ejpam-5464	112	42	and	and	CCONJ
ejpam-5464	112	43	(	(	PUNCT
ejpam-5464	112	44	ii	ii	NOUN
ejpam-5464	112	45	)	)	PUNCT
ejpam-5464	112	46	are	be	AUX
ejpam-5464	112	47	hold	hold	NOUN
ejpam-5464	112	48	,	,	PUNCT
ejpam-5464	112	49	then	then	ADV
ejpam-5464	112	50	the	the	DET
ejpam-5464	112	51	relation	relation	NOUN
ejpam-5464	112	52	is	be	AUX
ejpam-5464	112	53	called	call	VERB
ejpam-5464	112	54	tolerance	tolerance	NOUN
ejpam-5464	112	55	relation	relation	NOUN
ejpam-5464	112	56	.	.	PUNCT
ejpam-5464	113	1	definition	definition	NOUN
ejpam-5464	113	2	5	5	NUM
ejpam-5464	113	3	.	.	PUNCT
ejpam-5464	114	1	[	[	X
ejpam-5464	114	2	40	40	NUM
ejpam-5464	114	3	]	]	PUNCT
ejpam-5464	114	4	let	let	VERB
ejpam-5464	114	5	ℵ	ℵ	PART
ejpam-5464	114	6	be	be	AUX
ejpam-5464	114	7	a	a	DET
ejpam-5464	114	8	general	general	ADJ
ejpam-5464	114	9	relation	relation	NOUN
ejpam-5464	114	10	and	and	CCONJ
ejpam-5464	114	11	ξ	ξ	PROPN
ejpam-5464	114	12	,	,	PUNCT
ejpam-5464	114	13	γ	γ	PROPN
ejpam-5464	114	14	∈	∈	PROPN
ejpam-5464	114	15	x.	x.	NOUN
ejpam-5464	115	1	the	the	DET
ejpam-5464	115	2	right	right	ADJ
ejpam-5464	115	3	neighborhood	neighborhood	NOUN
ejpam-5464	115	4	of	of	ADP
ejpam-5464	115	5	ξ	ξ	PROPN
ejpam-5464	115	6	is	be	AUX
ejpam-5464	115	7	defined	define	VERB
ejpam-5464	115	8	by	by	ADP
ejpam-5464	115	9	nr(ξ	nr(ξ	NOUN
ejpam-5464	115	10	)	)	PUNCT
ejpam-5464	115	11	=	=	SYM
ejpam-5464	115	12	{	{	PUNCT
ejpam-5464	115	13	γ	γ	X
ejpam-5464	115	14	∈	∈	PROPN
ejpam-5464	115	15	x	x	X
ejpam-5464	115	16	:	:	PUNCT
ejpam-5464	115	17	ξℵγ	ξℵγ	PROPN
ejpam-5464	115	18	}	}	PUNCT
ejpam-5464	115	19	,	,	PUNCT
ejpam-5464	115	20	and	and	CCONJ
ejpam-5464	115	21	the	the	DET
ejpam-5464	115	22	left	left	ADJ
ejpam-5464	115	23	neighborhood	neighborhood	NOUN
ejpam-5464	115	24	of	of	ADP
ejpam-5464	115	25	ξ	ξ	PROPN
ejpam-5464	115	26	is	be	AUX
ejpam-5464	115	27	defined	define	VERB
ejpam-5464	115	28	by	by	ADP
ejpam-5464	115	29	nl(ξ	nl(ξ	NOUN
ejpam-5464	115	30	)	)	PUNCT
ejpam-5464	115	31	=	=	SYM
ejpam-5464	115	32	{	{	PUNCT
ejpam-5464	115	33	γ	γ	X
ejpam-5464	115	34	∈	∈	PROPN
ejpam-5464	115	35	x	x	X
ejpam-5464	115	36	:	:	PUNCT
ejpam-5464	115	37	γℵξ	γℵξ	PROPN
ejpam-5464	115	38	}	}	PUNCT
ejpam-5464	115	39	.	.	PUNCT
ejpam-5464	116	1	definition	definition	NOUN
ejpam-5464	116	2	6	6	NUM
ejpam-5464	116	3	.	.	PUNCT
ejpam-5464	117	1	[	[	X
ejpam-5464	117	2	1	1	X
ejpam-5464	117	3	]	]	PUNCT
ejpam-5464	117	4	let	let	VERB
ejpam-5464	117	5	ℵ	ℵ	PART
ejpam-5464	117	6	be	be	AUX
ejpam-5464	117	7	a	a	DET
ejpam-5464	117	8	general	general	ADJ
ejpam-5464	117	9	relation	relation	NOUN
ejpam-5464	117	10	and	and	CCONJ
ejpam-5464	117	11	ξ	ξ	PRON
ejpam-5464	117	12	∈	∈	PROPN
ejpam-5464	117	13	x.	x.	NOUN
ejpam-5464	117	14	then	then	ADV
ejpam-5464	117	15	,	,	PUNCT
ejpam-5464	117	16	minimal	minimal	ADJ
ejpam-5464	117	17	right	right	ADJ
ejpam-5464	117	18	neighborhood	neighborhood	NOUN
ejpam-5464	117	19	of	of	ADP
ejpam-5464	117	20	ξ	ξ	PROPN
ejpam-5464	117	21	is	be	AUX
ejpam-5464	117	22	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	117	23	)	)	PUNCT
ejpam-5464	117	24	=	=	SYM
ejpam-5464	117	25	⋂	⋂	PROPN
ejpam-5464	117	26	{	{	PUNCT
ejpam-5464	117	27	nr(γ	nr(γ	NOUN
ejpam-5464	117	28	)	)	PUNCT
ejpam-5464	117	29	:	:	PUNCT
ejpam-5464	117	30	γℵξ	γℵξ	NOUN
ejpam-5464	117	31	}	}	PUNCT
ejpam-5464	117	32	.	.	PUNCT
ejpam-5464	118	1	definition	definition	NOUN
ejpam-5464	118	2	7	7	NUM
ejpam-5464	118	3	.	.	PUNCT
ejpam-5464	119	1	let	let	VERB
ejpam-5464	119	2	ℵ	ℵ	NOUN
ejpam-5464	119	3	be	be	AUX
ejpam-5464	119	4	a	a	DET
ejpam-5464	119	5	general	general	ADJ
ejpam-5464	119	6	relation	relation	NOUN
ejpam-5464	119	7	.	.	PUNCT
ejpam-5464	120	1	the	the	DET
ejpam-5464	120	2	right	right	NOUN
ejpam-5464	121	1	[	[	X
ejpam-5464	121	2	7	7	NUM
ejpam-5464	121	3	]	]	PUNCT
ejpam-5464	121	4	,	,	PUNCT
ejpam-5464	121	5	left	leave	VERB
ejpam-5464	121	6	[	[	X
ejpam-5464	121	7	7	7	NUM
ejpam-5464	121	8	]	]	PUNCT
ejpam-5464	121	9	,	,	PUNCT
ejpam-5464	121	10	union	union	NOUN
ejpam-5464	122	1	[	[	X
ejpam-5464	122	2	25	25	NUM
ejpam-5464	122	3	]	]	PUNCT
ejpam-5464	122	4	,	,	PUNCT
ejpam-5464	122	5	and	and	CCONJ
ejpam-5464	122	6	intersection	intersection	NOUN
ejpam-5464	123	1	[	[	X
ejpam-5464	123	2	25	25	NUM
ejpam-5464	123	3	]	]	X
ejpam-5464	123	4	neighborhoods	neighborhood	NOUN
ejpam-5464	123	5	are	be	AUX
ejpam-5464	123	6	defined	define	VERB
ejpam-5464	123	7	by	by	ADP
ejpam-5464	123	8	nr(ξ	nr(ξ	NOUN
ejpam-5464	123	9	)	)	PUNCT
ejpam-5464	124	1	=	=	SYM
ejpam-5464	124	2	{	{	PUNCT
ejpam-5464	124	3	γ	γ	X
ejpam-5464	124	4	∈	∈	PROPN
ejpam-5464	124	5	x	x	X
ejpam-5464	124	6	:	:	PUNCT
ejpam-5464	124	7	ξℵγ	ξℵγ	PROPN
ejpam-5464	124	8	}	}	PUNCT
ejpam-5464	124	9	,	,	PUNCT
ejpam-5464	124	10	nl(ξ	nl(ξ	PUNCT
ejpam-5464	124	11	)	)	PUNCT
ejpam-5464	124	12	=	=	SYM
ejpam-5464	124	13	{	{	PUNCT
ejpam-5464	124	14	γ	γ	X
ejpam-5464	124	15	∈	∈	PROPN
ejpam-5464	124	16	x	x	X
ejpam-5464	124	17	:	:	PUNCT
ejpam-5464	124	18	γℵξ	γℵξ	PROPN
ejpam-5464	124	19	}	}	PUNCT
ejpam-5464	124	20	,	,	PUNCT
ejpam-5464	124	21	nu(ξ	nu(ξ	NUM
ejpam-5464	124	22	)	)	PUNCT
ejpam-5464	124	23	=	=	SYM
ejpam-5464	124	24	nr(ξ	nr(ξ	X
ejpam-5464	124	25	)	)	PUNCT
ejpam-5464	124	26	∪nl(ξ	∪nl(ξ	NOUN
ejpam-5464	124	27	)	)	PUNCT
ejpam-5464	124	28	,	,	PUNCT
ejpam-5464	124	29	and	and	CCONJ
ejpam-5464	124	30	ni(ξ	ni(ξ	X
ejpam-5464	124	31	)	)	PUNCT
ejpam-5464	124	32	=	=	SYM
ejpam-5464	124	33	nr(ξ	nr(ξ	X
ejpam-5464	124	34	)	)	PUNCT
ejpam-5464	124	35	∩nl(ξ	∩nl(ξ	PROPN
ejpam-5464	124	36	)	)	PUNCT
ejpam-5464	124	37	,	,	PUNCT
ejpam-5464	124	38	respectively	respectively	ADV
ejpam-5464	124	39	.	.	PUNCT
ejpam-5464	125	1	definition	definition	NOUN
ejpam-5464	125	2	8	8	NUM
ejpam-5464	125	3	.	.	PUNCT
ejpam-5464	126	1	[	[	X
ejpam-5464	126	2	24	24	NUM
ejpam-5464	126	3	]	]	PUNCT
ejpam-5464	126	4	let	let	VERB
ejpam-5464	126	5	ℵ	ℵ	PART
ejpam-5464	126	6	be	be	AUX
ejpam-5464	126	7	a	a	DET
ejpam-5464	126	8	general	general	ADJ
ejpam-5464	126	9	relation	relation	NOUN
ejpam-5464	126	10	.	.	PUNCT
ejpam-5464	127	1	then	then	ADV
ejpam-5464	127	2	,	,	PUNCT
ejpam-5464	127	3	core	core	NOUN
ejpam-5464	127	4	right	right	NOUN
ejpam-5464	127	5	,	,	PUNCT
ejpam-5464	127	6	core	core	NOUN
ejpam-5464	127	7	left	leave	VERB
ejpam-5464	127	8	,	,	PUNCT
ejpam-5464	127	9	core	core	NOUN
ejpam-5464	127	10	union	union	NOUN
ejpam-5464	127	11	,	,	PUNCT
ejpam-5464	127	12	and	and	CCONJ
ejpam-5464	127	13	core	core	NOUN
ejpam-5464	127	14	intersection	intersection	NOUN
ejpam-5464	127	15	neighborhoods	neighborhood	NOUN
ejpam-5464	127	16	are	be	AUX
ejpam-5464	127	17	defined	define	VERB
ejpam-5464	127	18	by	by	ADP
ejpam-5464	127	19	cnr(ξ	cnr(ξ	PROPN
ejpam-5464	127	20	)	)	PUNCT
ejpam-5464	127	21	=	=	SYM
ejpam-5464	127	22	{	{	PUNCT
ejpam-5464	127	23	γ	γ	X
ejpam-5464	127	24	∈	∈	PROPN
ejpam-5464	127	25	x	x	X
ejpam-5464	127	26	:	:	PUNCT
ejpam-5464	127	27	nr(ξ	nr(ξ	NUM
ejpam-5464	127	28	)	)	PUNCT
ejpam-5464	127	29	=	=	SYM
ejpam-5464	127	30	nr(γ	nr(γ	X
ejpam-5464	127	31	)	)	PUNCT
ejpam-5464	127	32	}	}	PUNCT
ejpam-5464	127	33	,	,	PUNCT
ejpam-5464	127	34	cnl(ξ	cnl(ξ	PROPN
ejpam-5464	127	35	)	)	PUNCT
ejpam-5464	127	36	=	=	SYM
ejpam-5464	127	37	{	{	PUNCT
ejpam-5464	127	38	γ	γ	X
ejpam-5464	127	39	∈	∈	NOUN
ejpam-5464	127	40	x	x	X
ejpam-5464	127	41	:	:	PUNCT
ejpam-5464	127	42	nl(ξ	nl(ξ	NUM
ejpam-5464	127	43	)	)	PUNCT
ejpam-5464	127	44	=	=	SYM
ejpam-5464	127	45	nl(γ	nl(γ	NOUN
ejpam-5464	127	46	)	)	PUNCT
ejpam-5464	127	47	}	}	PUNCT
ejpam-5464	127	48	,	,	PUNCT
ejpam-5464	127	49	cnu(ξ	cnu(ξ	PROPN
ejpam-5464	127	50	)	)	PUNCT
ejpam-5464	127	51	=	=	SYM
ejpam-5464	127	52	cnr(ξ	cnr(ξ	NOUN
ejpam-5464	127	53	)	)	PUNCT
ejpam-5464	127	54	∪	∪	ADP
ejpam-5464	127	55	cnl(ξ	cnl(ξ	PROPN
ejpam-5464	127	56	)	)	PUNCT
ejpam-5464	127	57	,	,	PUNCT
ejpam-5464	127	58	and	and	CCONJ
ejpam-5464	127	59	cni(ξ	cni(ξ	PROPN
ejpam-5464	127	60	)	)	PUNCT
ejpam-5464	127	61	=	=	SYM
ejpam-5464	127	62	cnr(ξ	cnr(ξ	NOUN
ejpam-5464	127	63	)	)	PUNCT
ejpam-5464	127	64	∩	∩	ADJ
ejpam-5464	127	65	cnl(ξ	cnl(ξ	PROPN
ejpam-5464	127	66	)	)	PUNCT
ejpam-5464	127	67	,	,	PUNCT
ejpam-5464	127	68	respectively	respectively	ADV
ejpam-5464	127	69	.	.	PUNCT
ejpam-5464	128	1	definition	definition	NOUN
ejpam-5464	128	2	9	9	NUM
ejpam-5464	128	3	.	.	PUNCT
ejpam-5464	129	1	[	[	X
ejpam-5464	129	2	35	35	NUM
ejpam-5464	129	3	]	]	PUNCT
ejpam-5464	129	4	let	let	VERB
ejpam-5464	129	5	ℵ	ℵ	PART
ejpam-5464	129	6	be	be	AUX
ejpam-5464	129	7	a	a	DET
ejpam-5464	129	8	general	general	ADJ
ejpam-5464	129	9	relation	relation	NOUN
ejpam-5464	129	10	.	.	PUNCT
ejpam-5464	130	1	the	the	DET
ejpam-5464	130	2	minimal	minimal	ADJ
ejpam-5464	130	3	right	right	NOUN
ejpam-5464	130	4	,	,	PUNCT
ejpam-5464	130	5	minimal	minimal	ADJ
ejpam-5464	130	6	left	leave	VERB
ejpam-5464	130	7	,	,	PUNCT
ejpam-5464	130	8	minimal	minimal	ADJ
ejpam-5464	130	9	union	union	NOUN
ejpam-5464	130	10	,	,	PUNCT
ejpam-5464	130	11	and	and	CCONJ
ejpam-5464	130	12	minimal	minimal	ADJ
ejpam-5464	130	13	intersection	intersection	NOUN
ejpam-5464	130	14	neighborhoods	neighborhood	NOUN
ejpam-5464	130	15	are	be	AUX
ejpam-5464	130	16	defined	define	VERB
ejpam-5464	130	17	by	by	ADP
ejpam-5464	130	18	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	130	19	)	)	PUNCT
ejpam-5464	130	20	=	=	SYM
ejpam-5464	130	21	⋂	⋂	PROPN
ejpam-5464	130	22	{	{	PUNCT
ejpam-5464	130	23	nr(γ	nr(γ	NOUN
ejpam-5464	130	24	)	)	PUNCT
ejpam-5464	130	25	:	:	PUNCT
ejpam-5464	130	26	γℵξ	γℵξ	PROPN
ejpam-5464	130	27	}	}	PUNCT
ejpam-5464	130	28	,	,	PUNCT
ejpam-5464	130	29	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	130	30	)	)	PUNCT
ejpam-5464	131	1	=	=	SYM
ejpam-5464	131	2	⋂	⋂	PROPN
ejpam-5464	131	3	{	{	PUNCT
ejpam-5464	131	4	nl(γ	nl(γ	NOUN
ejpam-5464	131	5	)	)	PUNCT
ejpam-5464	131	6	:	:	PUNCT
ejpam-5464	131	7	ξℵγ	ξℵγ	PROPN
ejpam-5464	131	8	}	}	PUNCT
ejpam-5464	131	9	,	,	PUNCT
ejpam-5464	131	10	mnu(ξ	mnu(ξ	NOUN
ejpam-5464	131	11	)	)	PUNCT
ejpam-5464	131	12	=	=	SYM
ejpam-5464	131	13	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	131	14	)	)	PUNCT
ejpam-5464	131	15	∪mnl(ξ	∪mnl(ξ	NUM
ejpam-5464	131	16	)	)	PUNCT
ejpam-5464	131	17	,	,	PUNCT
ejpam-5464	131	18	and	and	CCONJ
ejpam-5464	131	19	mni(ξ	mni(ξ	NUM
ejpam-5464	131	20	)	)	PUNCT
ejpam-5464	131	21	=	=	SYM
ejpam-5464	131	22	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	131	23	)	)	PUNCT
ejpam-5464	131	24	∩mnl(ξ	∩mnl(ξ	NUM
ejpam-5464	131	25	)	)	PUNCT
ejpam-5464	131	26	,	,	PUNCT
ejpam-5464	131	27	respectively	respectively	ADV
ejpam-5464	131	28	.	.	PUNCT
ejpam-5464	132	1	i.	i.	PROPN
ejpam-5464	132	2	shbair	shbair	PROPN
ejpam-5464	132	3	et	et	PROPN
ejpam-5464	132	4	al	al	PROPN
ejpam-5464	132	5	.	.	PUNCT
ejpam-5464	132	6	/	/	SYM
ejpam-5464	132	7	eur	eur	PROPN
ejpam-5464	132	8	.	.	PUNCT
ejpam-5464	133	1	j.	j.	PROPN
ejpam-5464	133	2	pure	pure	PROPN
ejpam-5464	133	3	appl	appl	PROPN
ejpam-5464	133	4	.	.	PROPN
ejpam-5464	133	5	math	math	PROPN
ejpam-5464	133	6	,	,	PUNCT
ejpam-5464	133	7	17	17	NUM
ejpam-5464	133	8	(	(	PUNCT
ejpam-5464	133	9	4	4	NUM
ejpam-5464	133	10	)	)	PUNCT
ejpam-5464	133	11	(	(	PUNCT
ejpam-5464	133	12	2024	2024	NUM
ejpam-5464	133	13	)	)	PUNCT
ejpam-5464	133	14	,	,	PUNCT
ejpam-5464	133	15	3567	3567	NUM
ejpam-5464	133	16	-	-	SYM
ejpam-5464	133	17	3584	3584	NUM
ejpam-5464	133	18	3571	3571	NUM
ejpam-5464	133	19	3	3	NUM
ejpam-5464	133	20	.	.	PUNCT
ejpam-5464	133	21	generalization	generalization	NOUN
ejpam-5464	133	22	for	for	ADP
ejpam-5464	133	23	rough	rough	ADJ
ejpam-5464	133	24	sets	set	NOUN
ejpam-5464	133	25	via	via	ADP
ejpam-5464	133	26	core	core	NOUN
ejpam-5464	133	27	minimal	minimal	ADJ
ejpam-5464	133	28	neighborhoods	neighborhood	NOUN
ejpam-5464	133	29	the	the	DET
ejpam-5464	133	30	present	present	ADJ
ejpam-5464	133	31	section	section	NOUN
ejpam-5464	133	32	views	view	VERB
ejpam-5464	133	33	a	a	DET
ejpam-5464	133	34	generalization	generalization	NOUN
ejpam-5464	133	35	of	of	ADP
ejpam-5464	133	36	rst	rst	PROPN
ejpam-5464	133	37	using	use	VERB
ejpam-5464	133	38	core	core	NOUN
ejpam-5464	133	39	minimal	minimal	ADJ
ejpam-5464	133	40	neighborhood	neighborhood	NOUN
ejpam-5464	133	41	systems	system	NOUN
ejpam-5464	133	42	with	with	ADP
ejpam-5464	133	43	four	four	NUM
ejpam-5464	133	44	types	type	NOUN
ejpam-5464	133	45	of	of	ADP
ejpam-5464	133	46	upper	upper	ADJ
ejpam-5464	133	47	and	and	CCONJ
ejpam-5464	133	48	lower	low	ADJ
ejpam-5464	133	49	approximations	approximation	NOUN
ejpam-5464	133	50	.	.	PUNCT
ejpam-5464	134	1	relationships	relationship	NOUN
ejpam-5464	134	2	between	between	ADP
ejpam-5464	134	3	neighborhood	neighborhood	NOUN
ejpam-5464	134	4	,	,	PUNCT
ejpam-5464	134	5	core	core	NOUN
ejpam-5464	134	6	neighborhood	neighborhood	NOUN
ejpam-5464	134	7	,	,	PUNCT
ejpam-5464	134	8	minimal	minimal	ADJ
ejpam-5464	134	9	neighborhood	neighborhood	NOUN
ejpam-5464	134	10	,	,	PUNCT
ejpam-5464	134	11	and	and	CCONJ
ejpam-5464	134	12	core	core	NOUN
ejpam-5464	134	13	minimal	minimal	ADJ
ejpam-5464	134	14	neighborhood	neighborhood	NOUN
ejpam-5464	134	15	using	use	VERB
ejpam-5464	134	16	four	four	NUM
ejpam-5464	134	17	types	type	NOUN
ejpam-5464	134	18	of	of	ADP
ejpam-5464	134	19	right	right	NOUN
ejpam-5464	134	20	,	,	PUNCT
ejpam-5464	134	21	left	left	ADJ
ejpam-5464	134	22	,	,	PUNCT
ejpam-5464	134	23	union	union	NOUN
ejpam-5464	134	24	,	,	PUNCT
ejpam-5464	134	25	and	and	CCONJ
ejpam-5464	134	26	intersection	intersection	NOUN
ejpam-5464	134	27	neighborhoods	neighborhood	NOUN
ejpam-5464	134	28	are	be	AUX
ejpam-5464	134	29	studied	study	VERB
ejpam-5464	134	30	.	.	PUNCT
ejpam-5464	135	1	furthermore	furthermore	ADV
ejpam-5464	135	2	,	,	PUNCT
ejpam-5464	135	3	a	a	DET
ejpam-5464	135	4	comparison	comparison	NOUN
ejpam-5464	135	5	between	between	ADP
ejpam-5464	135	6	the	the	DET
ejpam-5464	135	7	current	current	ADJ
ejpam-5464	135	8	study	study	NOUN
ejpam-5464	135	9	and	and	CCONJ
ejpam-5464	135	10	other	other	ADJ
ejpam-5464	135	11	studies	study	NOUN
ejpam-5464	135	12	is	be	AUX
ejpam-5464	135	13	investigated	investigate	VERB
ejpam-5464	135	14	.	.	PUNCT
ejpam-5464	136	1	definition	definition	NOUN
ejpam-5464	136	2	10	10	NUM
ejpam-5464	136	3	.	.	PUNCT
ejpam-5464	137	1	let	let	VERB
ejpam-5464	137	2	ℵ	ℵ	NOUN
ejpam-5464	137	3	be	be	AUX
ejpam-5464	137	4	a	a	DET
ejpam-5464	137	5	general	general	ADJ
ejpam-5464	137	6	relation	relation	NOUN
ejpam-5464	137	7	.	.	PUNCT
ejpam-5464	138	1	the	the	DET
ejpam-5464	138	2	core	core	NOUN
ejpam-5464	138	3	minimal	minimal	ADJ
ejpam-5464	138	4	right	right	NOUN
ejpam-5464	138	5	,	,	PUNCT
ejpam-5464	138	6	core	core	NOUN
ejpam-5464	138	7	minimal	minimal	ADJ
ejpam-5464	138	8	left	leave	VERB
ejpam-5464	138	9	,	,	PUNCT
ejpam-5464	138	10	core	core	NOUN
ejpam-5464	138	11	minimal	minimal	ADJ
ejpam-5464	138	12	union	union	NOUN
ejpam-5464	138	13	,	,	PUNCT
ejpam-5464	138	14	and	and	CCONJ
ejpam-5464	138	15	core	core	NOUN
ejpam-5464	138	16	minimal	minimal	ADJ
ejpam-5464	138	17	intersection	intersection	NOUN
ejpam-5464	138	18	neighborhoods	neighborhood	NOUN
ejpam-5464	138	19	are	be	AUX
ejpam-5464	138	20	defined	define	VERB
ejpam-5464	138	21	by	by	ADP
ejpam-5464	138	22	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	138	23	)	)	PUNCT
ejpam-5464	138	24	=	=	SYM
ejpam-5464	138	25	{	{	PUNCT
ejpam-5464	138	26	γ	γ	X
ejpam-5464	138	27	∈	∈	PROPN
ejpam-5464	138	28	x	x	X
ejpam-5464	139	1	:	:	PUNCT
ejpam-5464	139	2	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	139	3	)	)	PUNCT
ejpam-5464	139	4	=	=	SYM
ejpam-5464	139	5	mnr(γ	mnr(γ	NOUN
ejpam-5464	139	6	)	)	PUNCT
ejpam-5464	139	7	}	}	PUNCT
ejpam-5464	139	8	,	,	PUNCT
ejpam-5464	139	9	cml(ξ	cml(ξ	PROPN
ejpam-5464	139	10	)	)	PUNCT
ejpam-5464	139	11	=	=	PRON
ejpam-5464	139	12	{	{	PUNCT
ejpam-5464	139	13	γ	γ	X
ejpam-5464	139	14	∈	∈	PROPN
ejpam-5464	139	15	x	x	X
ejpam-5464	139	16	:	:	PUNCT
ejpam-5464	139	17	mnl(ξ	mnl(ξ	NOUN
ejpam-5464	139	18	)	)	PUNCT
ejpam-5464	139	19	=	=	SYM
ejpam-5464	139	20	mnl(γ	mnl(γ	PROPN
ejpam-5464	139	21	)	)	PUNCT
ejpam-5464	139	22	}	}	PUNCT
ejpam-5464	139	23	,	,	PUNCT
ejpam-5464	139	24	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	139	25	)	)	PUNCT
ejpam-5464	139	26	=	=	SYM
ejpam-5464	139	27	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	139	28	)	)	PUNCT
ejpam-5464	139	29	∪	∪	ADP
ejpam-5464	139	30	cml(ξ	cml(ξ	NOUN
ejpam-5464	139	31	)	)	PUNCT
ejpam-5464	139	32	,	,	PUNCT
ejpam-5464	139	33	and	and	CCONJ
ejpam-5464	139	34	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	139	35	)	)	PUNCT
ejpam-5464	139	36	=	=	SYM
ejpam-5464	139	37	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	139	38	)	)	PUNCT
ejpam-5464	139	39	∩	∩	ADJ
ejpam-5464	139	40	cml(ξ	cml(ξ	NOUN
ejpam-5464	139	41	)	)	PUNCT
ejpam-5464	139	42	,	,	PUNCT
ejpam-5464	139	43	respectively	respectively	ADV
ejpam-5464	139	44	.	.	PUNCT
ejpam-5464	140	1	definition	definition	NOUN
ejpam-5464	140	2	11	11	NUM
ejpam-5464	140	3	.	.	PUNCT
ejpam-5464	141	1	let	let	VERB
ejpam-5464	141	2	ℵ	ℵ	NOUN
ejpam-5464	141	3	be	be	AUX
ejpam-5464	141	4	a	a	DET
ejpam-5464	141	5	general	general	ADJ
ejpam-5464	141	6	relation	relation	NOUN
ejpam-5464	141	7	on	on	ADP
ejpam-5464	141	8	x	x	PUNCT
ejpam-5464	141	9	and	and	CCONJ
ejpam-5464	141	10	cmj	cmj	NOUN
ejpam-5464	141	11	:	:	PUNCT
ejpam-5464	141	12	x	x	PUNCT
ejpam-5464	141	13	−→	−→	NOUN
ejpam-5464	141	14	p	p	X
ejpam-5464	141	15	(	(	PUNCT
ejpam-5464	141	16	x	x	NOUN
ejpam-5464	141	17	)	)	PUNCT
ejpam-5464	141	18	be	be	AUX
ejpam-5464	141	19	a	a	DET
ejpam-5464	141	20	mapping	mapping	NOUN
ejpam-5464	141	21	which	which	PRON
ejpam-5464	141	22	assigns	assign	VERB
ejpam-5464	141	23	for	for	ADP
ejpam-5464	141	24	each	each	DET
ejpam-5464	141	25	ξ	ξ	PROPN
ejpam-5464	141	26	in	in	ADP
ejpam-5464	141	27	x	x	SYM
ejpam-5464	141	28	its	its	PRON
ejpam-5464	141	29	core	core	NOUN
ejpam-5464	141	30	minimal	minimal	ADJ
ejpam-5464	141	31	neighborhoods	neighborhood	NOUN
ejpam-5464	141	32	in	in	ADP
ejpam-5464	141	33	the	the	DET
ejpam-5464	141	34	power	power	NOUN
ejpam-5464	141	35	set	set	NOUN
ejpam-5464	141	36	of	of	ADP
ejpam-5464	141	37	x	x	X
ejpam-5464	141	38	(	(	PUNCT
ejpam-5464	141	39	p	p	X
ejpam-5464	141	40	(	(	PUNCT
ejpam-5464	141	41	x	x	NOUN
ejpam-5464	141	42	)	)	PUNCT
ejpam-5464	141	43	)	)	PUNCT
ejpam-5464	141	44	.	.	PUNCT
ejpam-5464	142	1	the	the	DET
ejpam-5464	142	2	triple	triple	ADJ
ejpam-5464	142	3	(	(	PUNCT
ejpam-5464	142	4	x,ℵ	x,ℵ	PROPN
ejpam-5464	142	5	,	,	PUNCT
ejpam-5464	142	6	cmj	cmj	NOUN
ejpam-5464	142	7	)	)	PUNCT
ejpam-5464	142	8	is	be	AUX
ejpam-5464	142	9	called	call	VERB
ejpam-5464	142	10	the	the	DET
ejpam-5464	142	11	core	core	NOUN
ejpam-5464	142	12	minimal	minimal	ADJ
ejpam-5464	142	13	approximation	approximation	NOUN
ejpam-5464	142	14	space	space	NOUN
ejpam-5464	142	15	(	(	PUNCT
ejpam-5464	142	16	briefly	briefly	ADV
ejpam-5464	142	17	,	,	PUNCT
ejpam-5464	142	18	cmj−approximation	cmj−approximation	NOUN
ejpam-5464	142	19	space	space	NOUN
ejpam-5464	142	20	)	)	PUNCT
ejpam-5464	142	21	where	where	SCONJ
ejpam-5464	142	22	j	j	PROPN
ejpam-5464	142	23	∈	∈	PROPN
ejpam-5464	142	24	j	j	PROPN
ejpam-5464	142	25	=	=	PRON
ejpam-5464	142	26	{	{	PUNCT
ejpam-5464	142	27	r	r	NOUN
ejpam-5464	142	28	,	,	PUNCT
ejpam-5464	142	29	l	l	NOUN
ejpam-5464	142	30	,	,	PUNCT
ejpam-5464	142	31	u	u	NOUN
ejpam-5464	142	32	,	,	PUNCT
ejpam-5464	142	33	i	i	NOUN
ejpam-5464	142	34	}	}	PUNCT
ejpam-5464	142	35	.	.	PUNCT
ejpam-5464	143	1	corollary	corollary	ADJ
ejpam-5464	143	2	1	1	NUM
ejpam-5464	143	3	.	.	PUNCT
ejpam-5464	144	1	let	let	VERB
ejpam-5464	144	2	cmj−approximation	cmj−approximation	NOUN
ejpam-5464	144	3	space	space	NOUN
ejpam-5464	144	4	with	with	ADP
ejpam-5464	144	5	ξ	ξ	PROPN
ejpam-5464	144	6	,	,	PUNCT
ejpam-5464	144	7	γ	γ	PROPN
ejpam-5464	144	8	∈	∈	PROPN
ejpam-5464	144	9	x.	x.	NOUN
ejpam-5464	144	10	then	then	ADV
ejpam-5464	144	11	,	,	PUNCT
ejpam-5464	144	12	i	i	NOUN
ejpam-5464	144	13	)	)	PUNCT
ejpam-5464	144	14	ξ	ξ	PROPN
ejpam-5464	144	15	∈	∈	PROPN
ejpam-5464	144	16	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	144	17	)	)	PUNCT
ejpam-5464	144	18	,	,	PUNCT
ejpam-5464	144	19	where	where	SCONJ
ejpam-5464	144	20	j	j	PROPN
ejpam-5464	144	21	∈	∈	PROPN
ejpam-5464	144	22	j.	j.	PROPN
ejpam-5464	144	23	ii	ii	PROPN
ejpam-5464	144	24	)	)	PUNCT
ejpam-5464	144	25	ξ	ξ	PROPN
ejpam-5464	144	26	∈	∈	PROPN
ejpam-5464	144	27	cmj(γ	cmj(γ	PROPN
ejpam-5464	144	28	)	)	PUNCT
ejpam-5464	144	29	⇐	⇐	ADJ
ejpam-5464	144	30	⇒	⇒	PROPN
ejpam-5464	144	31	γ	γ	PROPN
ejpam-5464	144	32	∈	∈	PROPN
ejpam-5464	144	33	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	144	34	)	)	PUNCT
ejpam-5464	144	35	,	,	PUNCT
ejpam-5464	144	36	where	where	SCONJ
ejpam-5464	144	37	j	j	PROPN
ejpam-5464	144	38	∈	∈	PROPN
ejpam-5464	144	39	j.	j.	PROPN
ejpam-5464	144	40	iii	iii	PROPN
ejpam-5464	144	41	)	)	PUNCT
ejpam-5464	144	42	let	let	VERB
ejpam-5464	144	43	γ	γ	X
ejpam-5464	144	44	∈	∈	VERB
ejpam-5464	144	45	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	144	46	)	)	PUNCT
ejpam-5464	144	47	.	.	PUNCT
ejpam-5464	145	1	then	then	ADV
ejpam-5464	145	2	,	,	PUNCT
ejpam-5464	145	3	cmj(γ	cmj(γ	PROPN
ejpam-5464	145	4	)	)	PUNCT
ejpam-5464	145	5	=	=	SYM
ejpam-5464	145	6	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	145	7	)	)	PUNCT
ejpam-5464	145	8	,	,	PUNCT
ejpam-5464	145	9	where	where	SCONJ
ejpam-5464	145	10	j	j	PROPN
ejpam-5464	145	11	∈	∈	PROPN
ejpam-5464	145	12	{	{	PUNCT
ejpam-5464	145	13	r	r	NOUN
ejpam-5464	145	14	,	,	PUNCT
ejpam-5464	145	15	l	l	NOUN
ejpam-5464	145	16	,	,	PUNCT
ejpam-5464	145	17	i	i	NOUN
ejpam-5464	145	18	}	}	PUNCT
ejpam-5464	145	19	.	.	PUNCT
ejpam-5464	146	1	part	part	NOUN
ejpam-5464	146	2	(	(	PUNCT
ejpam-5464	146	3	iii	iii	NOUN
ejpam-5464	146	4	)	)	PUNCT
ejpam-5464	146	5	is	be	AUX
ejpam-5464	146	6	not	not	PART
ejpam-5464	146	7	true	true	ADJ
ejpam-5464	146	8	for	for	ADP
ejpam-5464	146	9	j	j	PROPN
ejpam-5464	146	10	=	=	SYM
ejpam-5464	146	11	u	u	PROPN
ejpam-5464	146	12	,	,	PUNCT
ejpam-5464	146	13	in	in	ADP
ejpam-5464	146	14	general	general	ADJ
ejpam-5464	146	15	.	.	PUNCT
ejpam-5464	146	16	example	example	NOUN
ejpam-5464	147	1	1	1	NUM
ejpam-5464	147	2	.	.	PUNCT
ejpam-5464	148	1	if	if	SCONJ
ejpam-5464	148	2	x	x	PRON
ejpam-5464	148	3	=	=	PRON
ejpam-5464	148	4	{	{	PUNCT
ejpam-5464	148	5	ξ	ξ	PROPN
ejpam-5464	148	6	,	,	PUNCT
ejpam-5464	148	7	γ	γ	X
ejpam-5464	148	8	,	,	PUNCT
ejpam-5464	148	9	ζ	ζ	NOUN
ejpam-5464	148	10	,	,	PUNCT
ejpam-5464	148	11	η	η	NOUN
ejpam-5464	148	12	}	}	PUNCT
ejpam-5464	148	13	with	with	ADP
ejpam-5464	148	14	ℵ	ℵ	NOUN
ejpam-5464	148	15	=	=	SYM
ejpam-5464	148	16	{	{	PUNCT
ejpam-5464	148	17	(	(	PUNCT
ejpam-5464	148	18	ξ	ξ	PROPN
ejpam-5464	148	19	,	,	PUNCT
ejpam-5464	148	20	η	η	NOUN
ejpam-5464	148	21	)	)	PUNCT
ejpam-5464	148	22	,	,	PUNCT
ejpam-5464	148	23	(	(	PUNCT
ejpam-5464	148	24	γ	γ	X
ejpam-5464	148	25	,	,	PUNCT
ejpam-5464	148	26	ζ	ζ	NOUN
ejpam-5464	148	27	)	)	PUNCT
ejpam-5464	148	28	,	,	PUNCT
ejpam-5464	148	29	(	(	PUNCT
ejpam-5464	148	30	γ	γ	X
ejpam-5464	148	31	,	,	PUNCT
ejpam-5464	148	32	η),(ζ	η),(ζ	PROPN
ejpam-5464	148	33	,	,	PUNCT
ejpam-5464	148	34	η	η	NOUN
ejpam-5464	148	35	)	)	PUNCT
ejpam-5464	148	36	,	,	PUNCT
ejpam-5464	148	37	(	(	PUNCT
ejpam-5464	148	38	η	η	PROPN
ejpam-5464	148	39	,	,	PUNCT
ejpam-5464	148	40	ξ	ξ	NOUN
ejpam-5464	148	41	)	)	PUNCT
ejpam-5464	148	42	,	,	PUNCT
ejpam-5464	148	43	(	(	PUNCT
ejpam-5464	148	44	η	η	PROPN
ejpam-5464	148	45	,	,	PUNCT
ejpam-5464	148	46	γ	γ	NOUN
ejpam-5464	148	47	)	)	PUNCT
ejpam-5464	148	48	}	}	PUNCT
ejpam-5464	148	49	,	,	PUNCT
ejpam-5464	148	50	then	then	ADV
ejpam-5464	148	51	nr(x,ℵ	nr(x,ℵ	NOUN
ejpam-5464	148	52	)	)	PUNCT
ejpam-5464	148	53	=	=	PRON
ejpam-5464	148	54	{	{	PUNCT
ejpam-5464	148	55	{	{	PUNCT
ejpam-5464	148	56	η	η	NOUN
ejpam-5464	148	57	}	}	PUNCT
ejpam-5464	148	58	,	,	PUNCT
ejpam-5464	148	59	{	{	PUNCT
ejpam-5464	148	60	ζ	ζ	NOUN
ejpam-5464	148	61	,	,	PUNCT
ejpam-5464	148	62	η	η	NOUN
ejpam-5464	148	63	}	}	PUNCT
ejpam-5464	148	64	,	,	PUNCT
ejpam-5464	148	65	{	{	PUNCT
ejpam-5464	148	66	ξ	ξ	X
ejpam-5464	148	67	,	,	PUNCT
ejpam-5464	148	68	γ	γ	NOUN
ejpam-5464	148	69	}	}	PUNCT
ejpam-5464	148	70	}	}	PUNCT
ejpam-5464	148	71	,	,	PUNCT
ejpam-5464	148	72	nl(x,ℵ	nl(x,ℵ	NOUN
ejpam-5464	148	73	)	)	PUNCT
ejpam-5464	148	74	=	=	PRON
ejpam-5464	148	75	{	{	PUNCT
ejpam-5464	148	76	{	{	PUNCT
ejpam-5464	148	77	η	η	NOUN
ejpam-5464	148	78	}	}	PUNCT
ejpam-5464	148	79	,	,	PUNCT
ejpam-5464	148	80	{	{	PUNCT
ejpam-5464	148	81	γ	γ	X
ejpam-5464	148	82	}	}	PUNCT
ejpam-5464	148	83	,	,	PUNCT
ejpam-5464	148	84	{	{	PUNCT
ejpam-5464	148	85	ξ	ξ	X
ejpam-5464	148	86	,	,	PUNCT
ejpam-5464	148	87	γ	γ	X
ejpam-5464	148	88	,	,	PUNCT
ejpam-5464	148	89	ζ	ζ	NOUN
ejpam-5464	148	90	}	}	PUNCT
ejpam-5464	148	91	}	}	PUNCT
ejpam-5464	148	92	,	,	PUNCT
ejpam-5464	148	93	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	148	94	)	)	PUNCT
ejpam-5464	148	95	=	=	SYM
ejpam-5464	148	96	mnr(γ	mnr(γ	X
ejpam-5464	148	97	)	)	PUNCT
ejpam-5464	148	98	=	=	SYM
ejpam-5464	148	99	{	{	PUNCT
ejpam-5464	148	100	ξ	ξ	PROPN
ejpam-5464	148	101	,	,	PUNCT
ejpam-5464	148	102	γ	γ	NOUN
ejpam-5464	148	103	}	}	PUNCT
ejpam-5464	148	104	,	,	PUNCT
ejpam-5464	148	105	mnr(ζ	mnr(ζ	PROPN
ejpam-5464	148	106	)	)	PUNCT
ejpam-5464	148	107	=	=	SYM
ejpam-5464	148	108	{	{	PUNCT
ejpam-5464	148	109	ζ	ζ	PROPN
ejpam-5464	148	110	,	,	PUNCT
ejpam-5464	148	111	η	η	NOUN
ejpam-5464	148	112	}	}	PUNCT
ejpam-5464	148	113	,	,	PUNCT
ejpam-5464	148	114	mnr(η	mnr(η	PROPN
ejpam-5464	148	115	)	)	PUNCT
ejpam-5464	148	116	=	=	SYM
ejpam-5464	148	117	{	{	PUNCT
ejpam-5464	148	118	η	η	NOUN
ejpam-5464	148	119	}	}	PUNCT
ejpam-5464	148	120	,	,	PUNCT
ejpam-5464	148	121	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	148	122	)	)	PUNCT
ejpam-5464	148	123	=	=	SYM
ejpam-5464	148	124	mnl(ζ	mnl(ζ	PROPN
ejpam-5464	148	125	)	)	PUNCT
ejpam-5464	148	126	=	=	SYM
ejpam-5464	148	127	{	{	PUNCT
ejpam-5464	148	128	ξ	ξ	PROPN
ejpam-5464	148	129	,	,	PUNCT
ejpam-5464	148	130	γ	γ	X
ejpam-5464	148	131	,	,	PUNCT
ejpam-5464	148	132	ζ	ζ	NOUN
ejpam-5464	148	133	}	}	PUNCT
ejpam-5464	148	134	,	,	PUNCT
ejpam-5464	148	135	mnl(γ	mnl(γ	PROPN
ejpam-5464	148	136	)	)	PUNCT
ejpam-5464	148	137	=	=	PUNCT
ejpam-5464	148	138	{	{	PUNCT
ejpam-5464	148	139	γ	γ	X
ejpam-5464	148	140	}	}	PUNCT
ejpam-5464	148	141	,	,	PUNCT
ejpam-5464	148	142	mnl(η	mnl(η	PROPN
ejpam-5464	148	143	)	)	PUNCT
ejpam-5464	148	144	=	=	SYM
ejpam-5464	148	145	{	{	PUNCT
ejpam-5464	148	146	η	η	NOUN
ejpam-5464	148	147	}	}	PUNCT
ejpam-5464	148	148	.	.	PUNCT
ejpam-5464	149	1	then	then	ADV
ejpam-5464	149	2	,	,	PUNCT
ejpam-5464	149	3	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	149	4	)	)	PUNCT
ejpam-5464	149	5	=	=	SYM
ejpam-5464	149	6	cmr(γ	cmr(γ	PROPN
ejpam-5464	149	7	)	)	PUNCT
ejpam-5464	149	8	=	=	SYM
ejpam-5464	149	9	{	{	PUNCT
ejpam-5464	149	10	ξ	ξ	PROPN
ejpam-5464	149	11	,	,	PUNCT
ejpam-5464	149	12	γ	γ	NOUN
ejpam-5464	149	13	}	}	PUNCT
ejpam-5464	149	14	,	,	PUNCT
ejpam-5464	149	15	cmr(ζ	cmr(ζ	PROPN
ejpam-5464	149	16	)	)	PUNCT
ejpam-5464	149	17	=	=	PRON
ejpam-5464	149	18	{	{	PUNCT
ejpam-5464	149	19	ζ	ζ	NOUN
ejpam-5464	149	20	}	}	PUNCT
ejpam-5464	149	21	,	,	PUNCT
ejpam-5464	149	22	cmr(η	cmr(η	X
ejpam-5464	149	23	)	)	PUNCT
ejpam-5464	149	24	=	=	SYM
ejpam-5464	149	25	{	{	PUNCT
ejpam-5464	149	26	η	η	NOUN
ejpam-5464	149	27	}	}	PUNCT
ejpam-5464	149	28	,	,	PUNCT
ejpam-5464	149	29	cml(ξ	cml(ξ	PROPN
ejpam-5464	149	30	)	)	PUNCT
ejpam-5464	149	31	=	=	SYM
ejpam-5464	149	32	cml(ζ	cml(ζ	PROPN
ejpam-5464	149	33	)	)	PUNCT
ejpam-5464	149	34	=	=	SYM
ejpam-5464	149	35	{	{	PUNCT
ejpam-5464	149	36	ξ	ξ	PROPN
ejpam-5464	149	37	,	,	PUNCT
ejpam-5464	149	38	ζ	ζ	NOUN
ejpam-5464	149	39	}	}	PUNCT
ejpam-5464	149	40	,	,	PUNCT
ejpam-5464	149	41	cml(γ	cml(γ	NOUN
ejpam-5464	149	42	)	)	PUNCT
ejpam-5464	149	43	=	=	SYM
ejpam-5464	149	44	{	{	PUNCT
ejpam-5464	149	45	γ	γ	X
ejpam-5464	149	46	}	}	PUNCT
ejpam-5464	149	47	,	,	PUNCT
ejpam-5464	149	48	cml(η	cml(η	PROPN
ejpam-5464	149	49	)	)	PUNCT
ejpam-5464	149	50	=	=	SYM
ejpam-5464	149	51	{	{	PUNCT
ejpam-5464	149	52	η	η	NOUN
ejpam-5464	149	53	}	}	PUNCT
ejpam-5464	149	54	,	,	PUNCT
ejpam-5464	149	55	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	149	56	)	)	PUNCT
ejpam-5464	149	57	=	=	SYM
ejpam-5464	149	58	{	{	PUNCT
ejpam-5464	149	59	ξ	ξ	NOUN
ejpam-5464	149	60	}	}	PUNCT
ejpam-5464	149	61	,	,	PUNCT
ejpam-5464	149	62	cmi(γ	cmi(γ	PROPN
ejpam-5464	149	63	)	)	PUNCT
ejpam-5464	149	64	=	=	NOUN
ejpam-5464	149	65	{	{	PUNCT
ejpam-5464	149	66	γ	γ	X
ejpam-5464	149	67	}	}	PUNCT
ejpam-5464	149	68	,	,	PUNCT
ejpam-5464	149	69	cmi(ζ	cmi(ζ	NOUN
ejpam-5464	149	70	)	)	PUNCT
ejpam-5464	149	71	=	=	SYM
ejpam-5464	149	72	{	{	PUNCT
ejpam-5464	149	73	ζ	ζ	NOUN
ejpam-5464	149	74	}	}	PUNCT
ejpam-5464	149	75	,	,	PUNCT
ejpam-5464	149	76	cmi(η	cmi(η	X
ejpam-5464	149	77	)	)	PUNCT
ejpam-5464	149	78	=	=	SYM
ejpam-5464	149	79	{	{	PUNCT
ejpam-5464	149	80	η	η	NOUN
ejpam-5464	149	81	}	}	PUNCT
ejpam-5464	149	82	,	,	PUNCT
ejpam-5464	149	83	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	149	84	)	)	PUNCT
ejpam-5464	149	85	=	=	SYM
ejpam-5464	149	86	{	{	PUNCT
ejpam-5464	149	87	ξ	ξ	PROPN
ejpam-5464	149	88	,	,	PUNCT
ejpam-5464	149	89	γ	γ	X
ejpam-5464	149	90	,	,	PUNCT
ejpam-5464	149	91	ζ	ζ	NOUN
ejpam-5464	149	92	}	}	PUNCT
ejpam-5464	149	93	,	,	PUNCT
ejpam-5464	149	94	cmu(γ	cmu(γ	NOUN
ejpam-5464	149	95	)	)	PUNCT
ejpam-5464	149	96	=	=	SYM
ejpam-5464	149	97	{	{	PUNCT
ejpam-5464	149	98	ξ	ξ	PROPN
ejpam-5464	149	99	,	,	PUNCT
ejpam-5464	149	100	γ	γ	NOUN
ejpam-5464	149	101	}	}	PUNCT
ejpam-5464	149	102	,	,	PUNCT
ejpam-5464	149	103	cmu(ζ	cmu(ζ	PROPN
ejpam-5464	149	104	)	)	PUNCT
ejpam-5464	149	105	=	=	PRON
ejpam-5464	149	106	{	{	PUNCT
ejpam-5464	149	107	ξ	ξ	PROPN
ejpam-5464	149	108	,	,	PUNCT
ejpam-5464	149	109	ζ	ζ	NOUN
ejpam-5464	149	110	}	}	PUNCT
ejpam-5464	149	111	,	,	PUNCT
ejpam-5464	149	112	and	and	CCONJ
ejpam-5464	149	113	cmu(η	cmu(η	PROPN
ejpam-5464	149	114	)	)	PUNCT
ejpam-5464	149	115	=	=	PRON
ejpam-5464	149	116	{	{	PUNCT
ejpam-5464	149	117	η	η	NOUN
ejpam-5464	149	118	}	}	PUNCT
ejpam-5464	149	119	.	.	PUNCT
ejpam-5464	150	1	clearly	clearly	ADV
ejpam-5464	150	2	,	,	PUNCT
ejpam-5464	150	3	ξ	ξ	PROPN
ejpam-5464	150	4	∈	∈	PROPN
ejpam-5464	150	5	cmu(γ	cmu(γ	NOUN
ejpam-5464	150	6	)	)	PUNCT
ejpam-5464	150	7	but	but	CCONJ
ejpam-5464	150	8	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	150	9	)	)	PUNCT
ejpam-5464	150	10	̸=	̸=	PROPN
ejpam-5464	150	11	cmu(γ	cmu(γ	NOUN
ejpam-5464	150	12	)	)	PUNCT
ejpam-5464	150	13	.	.	PUNCT
ejpam-5464	151	1	corollary	corollary	ADJ
ejpam-5464	151	2	2	2	NUM
ejpam-5464	151	3	.	.	PUNCT
ejpam-5464	152	1	let	let	VERB
ejpam-5464	152	2	ℵ	ℵ	NOUN
ejpam-5464	152	3	be	be	AUX
ejpam-5464	152	4	a	a	DET
ejpam-5464	152	5	reflexive	reflexive	ADJ
ejpam-5464	152	6	relation	relation	NOUN
ejpam-5464	152	7	with	with	ADP
ejpam-5464	152	8	ξ	ξ	PROPN
ejpam-5464	152	9	,	,	PUNCT
ejpam-5464	152	10	γ	γ	X
ejpam-5464	152	11	∈	∈	PROPN
ejpam-5464	152	12	x	x	X
ejpam-5464	152	13	and	and	CCONJ
ejpam-5464	152	14	γ	γ	X
ejpam-5464	152	15	∈	∈	NOUN
ejpam-5464	152	16	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	152	17	)	)	PUNCT
ejpam-5464	152	18	.	.	PUNCT
ejpam-5464	153	1	then	then	ADV
ejpam-5464	153	2	,	,	PUNCT
ejpam-5464	153	3	cmj(γ	cmj(γ	PROPN
ejpam-5464	153	4	)	)	PUNCT
ejpam-5464	153	5	=	=	SYM
ejpam-5464	153	6	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	153	7	)	)	PUNCT
ejpam-5464	153	8	,	,	PUNCT
ejpam-5464	153	9	∀j	∀j	PROPN
ejpam-5464	153	10	∈	∈	PROPN
ejpam-5464	153	11	j.	j.	PROPN
ejpam-5464	153	12	lemma	lemma	PROPN
ejpam-5464	154	1	1	1	X
ejpam-5464	154	2	.	.	PUNCT
ejpam-5464	155	1	let	let	VERB
ejpam-5464	155	2	ℵ	ℵ	NOUN
ejpam-5464	155	3	be	be	AUX
ejpam-5464	155	4	a	a	DET
ejpam-5464	155	5	reflexive	reflexive	ADJ
ejpam-5464	155	6	relation	relation	NOUN
ejpam-5464	155	7	with	with	ADP
ejpam-5464	155	8	ξ	ξ	PROPN
ejpam-5464	155	9	∈	∈	PROPN
ejpam-5464	155	10	x.	x.	NOUN
ejpam-5464	155	11	then	then	ADV
ejpam-5464	155	12	,	,	PUNCT
ejpam-5464	155	13	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	155	14	)	)	PUNCT
ejpam-5464	155	15	⊆	⊆	NUM
ejpam-5464	155	16	mnj(ξ	mnj(ξ	NUM
ejpam-5464	155	17	)	)	PUNCT
ejpam-5464	155	18	,	,	PUNCT
ejpam-5464	155	19	∀j	∀j	PROPN
ejpam-5464	155	20	∈	∈	PROPN
ejpam-5464	155	21	j.	j.	PROPN
ejpam-5464	155	22	proof	proof	PROPN
ejpam-5464	155	23	.	.	PUNCT
ejpam-5464	156	1	let	let	VERB
ejpam-5464	156	2	ℵ	ℵ	NOUN
ejpam-5464	156	3	be	be	AUX
ejpam-5464	156	4	a	a	DET
ejpam-5464	156	5	reflexive	reflexive	ADJ
ejpam-5464	156	6	relation	relation	NOUN
ejpam-5464	156	7	.	.	PUNCT
ejpam-5464	157	1	then	then	ADV
ejpam-5464	157	2	,	,	PUNCT
ejpam-5464	157	3	ξ	ξ	PROPN
ejpam-5464	157	4	∈	∈	PROPN
ejpam-5464	157	5	mnj(ξ	mnj(ξ	NOUN
ejpam-5464	157	6	)	)	PUNCT
ejpam-5464	157	7	,	,	PUNCT
ejpam-5464	157	8	∀ξ	∀ξ	X
ejpam-5464	157	9	∈	∈	NOUN
ejpam-5464	157	10	x.	x.	NOUN
ejpam-5464	157	11	if	if	SCONJ
ejpam-5464	157	12	γ	γ	X
ejpam-5464	157	13	∈	∈	PROPN
ejpam-5464	157	14	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	157	15	)	)	PUNCT
ejpam-5464	157	16	,	,	PUNCT
ejpam-5464	157	17	then	then	ADV
ejpam-5464	157	18	mnj(ξ	mnj(ξ	PROPN
ejpam-5464	157	19	)	)	PUNCT
ejpam-5464	157	20	=	=	SYM
ejpam-5464	157	21	mnj(γ	mnj(γ	PROPN
ejpam-5464	157	22	)	)	PUNCT
ejpam-5464	157	23	and	and	CCONJ
ejpam-5464	157	24	since	since	SCONJ
ejpam-5464	157	25	γ	γ	PROPN
ejpam-5464	157	26	∈	∈	PROPN
ejpam-5464	157	27	mnj(γ	mnj(γ	PROPN
ejpam-5464	157	28	)	)	PUNCT
ejpam-5464	157	29	,	,	PUNCT
ejpam-5464	157	30	then	then	ADV
ejpam-5464	157	31	γ	γ	X
ejpam-5464	157	32	∈	∈	PROPN
ejpam-5464	157	33	mnj(ξ	mnj(ξ	PROPN
ejpam-5464	157	34	)	)	PUNCT
ejpam-5464	157	35	.	.	PUNCT
ejpam-5464	158	1	therefore	therefore	ADV
ejpam-5464	158	2	,	,	PUNCT
ejpam-5464	158	3	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	158	4	)	)	PUNCT
ejpam-5464	158	5	⊆	⊆	NUM
ejpam-5464	158	6	mnj(ξ	mnj(ξ	NUM
ejpam-5464	158	7	)	)	PUNCT
ejpam-5464	158	8	.	.	PUNCT
ejpam-5464	159	1	the	the	DET
ejpam-5464	159	2	equality	equality	NOUN
ejpam-5464	159	3	in	in	ADP
ejpam-5464	159	4	lemma	lemma	PROPN
ejpam-5464	159	5	1	1	NUM
ejpam-5464	159	6	is	be	AUX
ejpam-5464	159	7	not	not	PART
ejpam-5464	159	8	true	true	ADJ
ejpam-5464	159	9	,	,	PUNCT
ejpam-5464	159	10	in	in	ADP
ejpam-5464	159	11	general	general	ADJ
ejpam-5464	159	12	.	.	PUNCT
ejpam-5464	160	1	i.	i.	PROPN
ejpam-5464	160	2	shbair	shbair	PROPN
ejpam-5464	160	3	et	et	PROPN
ejpam-5464	160	4	al	al	PROPN
ejpam-5464	160	5	.	.	PUNCT
ejpam-5464	160	6	/	/	SYM
ejpam-5464	160	7	eur	eur	PROPN
ejpam-5464	160	8	.	.	PUNCT
ejpam-5464	161	1	j.	j.	PROPN
ejpam-5464	161	2	pure	pure	PROPN
ejpam-5464	161	3	appl	appl	PROPN
ejpam-5464	161	4	.	.	PROPN
ejpam-5464	161	5	math	math	PROPN
ejpam-5464	161	6	,	,	PUNCT
ejpam-5464	161	7	17	17	NUM
ejpam-5464	161	8	(	(	PUNCT
ejpam-5464	161	9	4	4	NUM
ejpam-5464	161	10	)	)	PUNCT
ejpam-5464	161	11	(	(	PUNCT
ejpam-5464	161	12	2024	2024	NUM
ejpam-5464	161	13	)	)	PUNCT
ejpam-5464	161	14	,	,	PUNCT
ejpam-5464	161	15	3567	3567	NUM
ejpam-5464	161	16	-	-	SYM
ejpam-5464	161	17	3584	3584	NUM
ejpam-5464	161	18	3572	3572	NUM
ejpam-5464	161	19	example	example	NOUN
ejpam-5464	161	20	2	2	NUM
ejpam-5464	161	21	.	.	PUNCT
ejpam-5464	162	1	let	let	VERB
ejpam-5464	162	2	x	x	PUNCT
ejpam-5464	162	3	=	=	PRON
ejpam-5464	162	4	{	{	PUNCT
ejpam-5464	162	5	ξ	ξ	PROPN
ejpam-5464	162	6	,	,	PUNCT
ejpam-5464	162	7	γ	γ	X
ejpam-5464	162	8	,	,	PUNCT
ejpam-5464	162	9	ζ	ζ	NOUN
ejpam-5464	162	10	,	,	PUNCT
ejpam-5464	162	11	η	η	NOUN
ejpam-5464	162	12	}	}	PUNCT
ejpam-5464	162	13	with	with	ADP
ejpam-5464	162	14	ℵ	ℵ	NOUN
ejpam-5464	162	15	=	=	SYM
ejpam-5464	162	16	{	{	PUNCT
ejpam-5464	162	17	(	(	PUNCT
ejpam-5464	162	18	ξ	ξ	PROPN
ejpam-5464	162	19	,	,	PUNCT
ejpam-5464	162	20	ξ	ξ	NOUN
ejpam-5464	162	21	)	)	PUNCT
ejpam-5464	162	22	,	,	PUNCT
ejpam-5464	162	23	(	(	PUNCT
ejpam-5464	162	24	γ	γ	X
ejpam-5464	162	25	,	,	PUNCT
ejpam-5464	162	26	γ	γ	NOUN
ejpam-5464	162	27	)	)	PUNCT
ejpam-5464	162	28	,	,	PUNCT
ejpam-5464	162	29	(	(	PUNCT
ejpam-5464	162	30	ζ	ζ	NOUN
ejpam-5464	162	31	,	,	PUNCT
ejpam-5464	162	32	ζ	ζ	NOUN
ejpam-5464	162	33	)	)	PUNCT
ejpam-5464	162	34	,	,	PUNCT
ejpam-5464	162	35	(	(	PUNCT
ejpam-5464	162	36	η	η	PROPN
ejpam-5464	162	37	,	,	PUNCT
ejpam-5464	162	38	η	η	NOUN
ejpam-5464	162	39	)	)	PUNCT
ejpam-5464	162	40	,	,	PUNCT
ejpam-5464	162	41	(	(	PUNCT
ejpam-5464	162	42	ξ	ξ	X
ejpam-5464	162	43	,	,	PUNCT
ejpam-5464	162	44	ζ	ζ	NOUN
ejpam-5464	162	45	)	)	PUNCT
ejpam-5464	162	46	,	,	PUNCT
ejpam-5464	162	47	(	(	PUNCT
ejpam-5464	162	48	γ	γ	X
ejpam-5464	162	49	,	,	PUNCT
ejpam-5464	162	50	ζ	ζ	NOUN
ejpam-5464	162	51	)	)	PUNCT
ejpam-5464	162	52	,	,	PUNCT
ejpam-5464	162	53	(	(	PUNCT
ejpam-5464	162	54	γ	γ	X
ejpam-5464	162	55	,	,	PUNCT
ejpam-5464	162	56	η	η	NOUN
ejpam-5464	162	57	)	)	PUNCT
ejpam-5464	162	58	,	,	PUNCT
ejpam-5464	162	59	(	(	PUNCT
ejpam-5464	162	60	ζ	ζ	X
ejpam-5464	162	61	,	,	PUNCT
ejpam-5464	162	62	ξ	ξ	NOUN
ejpam-5464	162	63	)	)	PUNCT
ejpam-5464	162	64	,	,	PUNCT
ejpam-5464	162	65	(	(	PUNCT
ejpam-5464	162	66	η	η	PROPN
ejpam-5464	162	67	,	,	PUNCT
ejpam-5464	162	68	γ	γ	NOUN
ejpam-5464	162	69	)	)	PUNCT
ejpam-5464	162	70	}	}	PUNCT
ejpam-5464	162	71	.	.	PUNCT
ejpam-5464	163	1	then	then	ADV
ejpam-5464	163	2	,	,	PUNCT
ejpam-5464	163	3	nr(x,ℵ	nr(x,ℵ	NOUN
ejpam-5464	163	4	)	)	PUNCT
ejpam-5464	163	5	=	=	PRON
ejpam-5464	163	6	{	{	PUNCT
ejpam-5464	163	7	{	{	PUNCT
ejpam-5464	163	8	ξ	ξ	PROPN
ejpam-5464	163	9	,	,	PUNCT
ejpam-5464	163	10	ζ	ζ	NOUN
ejpam-5464	163	11	}	}	PUNCT
ejpam-5464	163	12	,	,	PUNCT
ejpam-5464	163	13	{	{	PUNCT
ejpam-5464	163	14	γ	γ	X
ejpam-5464	163	15	,	,	PUNCT
ejpam-5464	163	16	ζ	ζ	NOUN
ejpam-5464	163	17	,	,	PUNCT
ejpam-5464	163	18	η	η	NOUN
ejpam-5464	163	19	}	}	PUNCT
ejpam-5464	163	20	,	,	PUNCT
ejpam-5464	163	21	{	{	PUNCT
ejpam-5464	163	22	γ	γ	X
ejpam-5464	163	23	,	,	PUNCT
ejpam-5464	163	24	η	η	NOUN
ejpam-5464	163	25	}	}	PUNCT
ejpam-5464	163	26	}	}	PUNCT
ejpam-5464	163	27	,	,	PUNCT
ejpam-5464	163	28	nl(x,ℵ	nl(x,ℵ	NOUN
ejpam-5464	163	29	)	)	PUNCT
ejpam-5464	163	30	=	=	PRON
ejpam-5464	163	31	{	{	PUNCT
ejpam-5464	163	32	{	{	PUNCT
ejpam-5464	163	33	ξ	ξ	PROPN
ejpam-5464	163	34	,	,	PUNCT
ejpam-5464	163	35	ζ	ζ	NOUN
ejpam-5464	163	36	}	}	PUNCT
ejpam-5464	163	37	,	,	PUNCT
ejpam-5464	163	38	{	{	PUNCT
ejpam-5464	163	39	γ	γ	X
ejpam-5464	163	40	,	,	PUNCT
ejpam-5464	163	41	η	η	NOUN
ejpam-5464	163	42	}	}	PUNCT
ejpam-5464	163	43	,	,	PUNCT
ejpam-5464	163	44	{	{	PUNCT
ejpam-5464	163	45	ξ	ξ	X
ejpam-5464	163	46	,	,	PUNCT
ejpam-5464	163	47	γ	γ	X
ejpam-5464	163	48	,	,	PUNCT
ejpam-5464	163	49	ζ	ζ	NOUN
ejpam-5464	163	50	}	}	PUNCT
ejpam-5464	163	51	}	}	PUNCT
ejpam-5464	163	52	,	,	PUNCT
ejpam-5464	163	53	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	163	54	)	)	PUNCT
ejpam-5464	163	55	=	=	SYM
ejpam-5464	163	56	{	{	PUNCT
ejpam-5464	163	57	ξ	ξ	PROPN
ejpam-5464	163	58	,	,	PUNCT
ejpam-5464	163	59	ζ	ζ	NOUN
ejpam-5464	163	60	}	}	PUNCT
ejpam-5464	163	61	,	,	PUNCT
ejpam-5464	163	62	mnr(γ	mnr(γ	NOUN
ejpam-5464	163	63	)	)	PUNCT
ejpam-5464	163	64	=	=	SYM
ejpam-5464	163	65	mnr(η	mnr(η	PROPN
ejpam-5464	163	66	)	)	PUNCT
ejpam-5464	163	67	=	=	SYM
ejpam-5464	163	68	{	{	PUNCT
ejpam-5464	163	69	γ	γ	X
ejpam-5464	163	70	,	,	PUNCT
ejpam-5464	163	71	η	η	NOUN
ejpam-5464	163	72	}	}	PUNCT
ejpam-5464	163	73	,	,	PUNCT
ejpam-5464	163	74	mnr(ζ	mnr(ζ	PROPN
ejpam-5464	163	75	)	)	PUNCT
ejpam-5464	163	76	=	=	SYM
ejpam-5464	163	77	{	{	PUNCT
ejpam-5464	163	78	ζ	ζ	NOUN
ejpam-5464	163	79	}	}	PUNCT
ejpam-5464	163	80	,	,	PUNCT
ejpam-5464	163	81	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	163	82	)	)	PUNCT
ejpam-5464	163	83	=	=	SYM
ejpam-5464	163	84	mnl(ζ	mnl(ζ	PROPN
ejpam-5464	163	85	)	)	PUNCT
ejpam-5464	163	86	=	=	SYM
ejpam-5464	163	87	{	{	PUNCT
ejpam-5464	163	88	ξ	ξ	PROPN
ejpam-5464	163	89	,	,	PUNCT
ejpam-5464	163	90	ζ	ζ	NOUN
ejpam-5464	163	91	}	}	PUNCT
ejpam-5464	163	92	,	,	PUNCT
ejpam-5464	163	93	mnl(γ	mnl(γ	PROPN
ejpam-5464	163	94	)	)	PUNCT
ejpam-5464	163	95	=	=	PUNCT
ejpam-5464	163	96	{	{	PUNCT
ejpam-5464	163	97	γ	γ	X
ejpam-5464	163	98	}	}	PUNCT
ejpam-5464	163	99	,	,	PUNCT
ejpam-5464	163	100	mnl(η	mnl(η	PROPN
ejpam-5464	163	101	)	)	PUNCT
ejpam-5464	163	102	=	=	SYM
ejpam-5464	163	103	{	{	PUNCT
ejpam-5464	163	104	γ	γ	X
ejpam-5464	163	105	,	,	PUNCT
ejpam-5464	163	106	η	η	NOUN
ejpam-5464	163	107	}	}	PUNCT
ejpam-5464	163	108	,	,	PUNCT
ejpam-5464	163	109	mni(ξ	mni(ξ	X
ejpam-5464	163	110	)	)	PUNCT
ejpam-5464	163	111	=	=	SYM
ejpam-5464	163	112	{	{	PUNCT
ejpam-5464	163	113	ξ	ξ	PROPN
ejpam-5464	163	114	,	,	PUNCT
ejpam-5464	163	115	ζ	ζ	NOUN
ejpam-5464	163	116	}	}	PUNCT
ejpam-5464	163	117	,	,	PUNCT
ejpam-5464	163	118	mni(γ	mni(γ	PROPN
ejpam-5464	163	119	)	)	PUNCT
ejpam-5464	163	120	=	=	NOUN
ejpam-5464	163	121	{	{	PUNCT
ejpam-5464	163	122	γ	γ	X
ejpam-5464	163	123	}	}	PUNCT
ejpam-5464	163	124	,	,	PUNCT
ejpam-5464	163	125	mni(ζ	mni(ζ	NOUN
ejpam-5464	163	126	)	)	PUNCT
ejpam-5464	163	127	=	=	NOUN
ejpam-5464	163	128	{	{	PUNCT
ejpam-5464	163	129	ζ	ζ	NOUN
ejpam-5464	163	130	}	}	PUNCT
ejpam-5464	163	131	mni(η	mni(η	PROPN
ejpam-5464	163	132	)	)	PUNCT
ejpam-5464	163	133	=	=	SYM
ejpam-5464	163	134	{	{	PUNCT
ejpam-5464	163	135	γ	γ	X
ejpam-5464	163	136	,	,	PUNCT
ejpam-5464	163	137	η	η	NOUN
ejpam-5464	163	138	}	}	PUNCT
ejpam-5464	163	139	,	,	PUNCT
ejpam-5464	163	140	mnu(ξ	mnu(ξ	NOUN
ejpam-5464	163	141	)	)	PUNCT
ejpam-5464	163	142	=	=	SYM
ejpam-5464	163	143	{	{	PUNCT
ejpam-5464	163	144	ξ	ξ	PROPN
ejpam-5464	163	145	,	,	PUNCT
ejpam-5464	163	146	ζ	ζ	NOUN
ejpam-5464	163	147	}	}	PUNCT
ejpam-5464	163	148	,	,	PUNCT
ejpam-5464	163	149	mnu(γ	mnu(γ	PROPN
ejpam-5464	163	150	)	)	PUNCT
ejpam-5464	163	151	=	=	SYM
ejpam-5464	163	152	{	{	PUNCT
ejpam-5464	163	153	γ	γ	X
ejpam-5464	163	154	,	,	PUNCT
ejpam-5464	163	155	η	η	NOUN
ejpam-5464	163	156	}	}	PUNCT
ejpam-5464	163	157	,	,	PUNCT
ejpam-5464	163	158	mnu(ζ	mnu(ζ	PROPN
ejpam-5464	163	159	)	)	PUNCT
ejpam-5464	163	160	=	=	PRON
ejpam-5464	163	161	{	{	PUNCT
ejpam-5464	163	162	ξ	ξ	PROPN
ejpam-5464	163	163	,	,	PUNCT
ejpam-5464	163	164	ζ	ζ	NOUN
ejpam-5464	163	165	}	}	PUNCT
ejpam-5464	163	166	,	,	PUNCT
ejpam-5464	163	167	and	and	CCONJ
ejpam-5464	163	168	mnu(η	mnu(η	PROPN
ejpam-5464	163	169	)	)	PUNCT
ejpam-5464	163	170	=	=	PRON
ejpam-5464	163	171	{	{	PUNCT
ejpam-5464	163	172	γ	γ	X
ejpam-5464	163	173	,	,	PUNCT
ejpam-5464	163	174	η	η	NOUN
ejpam-5464	163	175	}	}	PUNCT
ejpam-5464	163	176	.	.	PUNCT
ejpam-5464	164	1	then	then	ADV
ejpam-5464	164	2	,	,	PUNCT
ejpam-5464	164	3	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	164	4	)	)	PUNCT
ejpam-5464	164	5	=	=	SYM
ejpam-5464	164	6	{	{	PUNCT
ejpam-5464	165	1	ξ	ξ	NOUN
ejpam-5464	165	2	}	}	PUNCT
ejpam-5464	165	3	,	,	PUNCT
ejpam-5464	165	4	cmr(γ	cmr(γ	PROPN
ejpam-5464	165	5	)	)	PUNCT
ejpam-5464	165	6	=	=	SYM
ejpam-5464	165	7	cmr(η	cmr(η	PROPN
ejpam-5464	165	8	)	)	PUNCT
ejpam-5464	165	9	=	=	SYM
ejpam-5464	165	10	{	{	PUNCT
ejpam-5464	165	11	γ	γ	X
ejpam-5464	165	12	,	,	PUNCT
ejpam-5464	165	13	η	η	NOUN
ejpam-5464	165	14	}	}	PUNCT
ejpam-5464	165	15	,	,	PUNCT
ejpam-5464	165	16	cmr(ζ	cmr(ζ	PROPN
ejpam-5464	165	17	)	)	PUNCT
ejpam-5464	165	18	=	=	PRON
ejpam-5464	165	19	{	{	PUNCT
ejpam-5464	165	20	ζ	ζ	NOUN
ejpam-5464	165	21	}	}	PUNCT
ejpam-5464	165	22	,	,	PUNCT
ejpam-5464	165	23	cml(ξ	cml(ξ	PROPN
ejpam-5464	165	24	)	)	PUNCT
ejpam-5464	165	25	=	=	SYM
ejpam-5464	165	26	cml(ζ	cml(ζ	PROPN
ejpam-5464	165	27	)	)	PUNCT
ejpam-5464	165	28	=	=	SYM
ejpam-5464	165	29	{	{	PUNCT
ejpam-5464	165	30	ξ	ξ	PROPN
ejpam-5464	165	31	,	,	PUNCT
ejpam-5464	165	32	ζ	ζ	NOUN
ejpam-5464	165	33	}	}	PUNCT
ejpam-5464	165	34	,	,	PUNCT
ejpam-5464	165	35	cml(γ	cml(γ	NOUN
ejpam-5464	165	36	)	)	PUNCT
ejpam-5464	165	37	=	=	SYM
ejpam-5464	165	38	{	{	PUNCT
ejpam-5464	165	39	γ	γ	X
ejpam-5464	165	40	}	}	PUNCT
ejpam-5464	165	41	,	,	PUNCT
ejpam-5464	165	42	cml(η	cml(η	PROPN
ejpam-5464	165	43	)	)	PUNCT
ejpam-5464	165	44	=	=	SYM
ejpam-5464	165	45	{	{	PUNCT
ejpam-5464	165	46	η	η	NOUN
ejpam-5464	165	47	}	}	PUNCT
ejpam-5464	165	48	,	,	PUNCT
ejpam-5464	165	49	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	165	50	)	)	PUNCT
ejpam-5464	165	51	=	=	SYM
ejpam-5464	165	52	{	{	PUNCT
ejpam-5464	165	53	ξ	ξ	NOUN
ejpam-5464	165	54	}	}	PUNCT
ejpam-5464	165	55	,	,	PUNCT
ejpam-5464	165	56	cmi(γ	cmi(γ	PROPN
ejpam-5464	165	57	)	)	PUNCT
ejpam-5464	165	58	=	=	NOUN
ejpam-5464	165	59	{	{	PUNCT
ejpam-5464	165	60	γ	γ	X
ejpam-5464	165	61	}	}	PUNCT
ejpam-5464	165	62	,	,	PUNCT
ejpam-5464	165	63	cmi(ζ	cmi(ζ	NOUN
ejpam-5464	165	64	)	)	PUNCT
ejpam-5464	165	65	=	=	SYM
ejpam-5464	165	66	{	{	PUNCT
ejpam-5464	165	67	ζ	ζ	NOUN
ejpam-5464	165	68	}	}	PUNCT
ejpam-5464	165	69	,	,	PUNCT
ejpam-5464	165	70	cmi(η	cmi(η	X
ejpam-5464	165	71	)	)	PUNCT
ejpam-5464	165	72	=	=	SYM
ejpam-5464	165	73	{	{	PUNCT
ejpam-5464	165	74	η	η	NOUN
ejpam-5464	165	75	}	}	PUNCT
ejpam-5464	165	76	,	,	PUNCT
ejpam-5464	165	77	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	165	78	)	)	PUNCT
ejpam-5464	165	79	=	=	SYM
ejpam-5464	165	80	cmu(ζ	cmu(ζ	PROPN
ejpam-5464	165	81	)	)	PUNCT
ejpam-5464	165	82	=	=	PRON
ejpam-5464	165	83	{	{	PUNCT
ejpam-5464	165	84	ξ	ξ	PROPN
ejpam-5464	165	85	,	,	PUNCT
ejpam-5464	165	86	ζ	ζ	NOUN
ejpam-5464	165	87	}	}	PUNCT
ejpam-5464	165	88	,	,	PUNCT
ejpam-5464	165	89	and	and	CCONJ
ejpam-5464	165	90	cmu(γ	cmu(γ	NOUN
ejpam-5464	165	91	)	)	PUNCT
ejpam-5464	165	92	=	=	SYM
ejpam-5464	165	93	cmu(η	cmu(η	PROPN
ejpam-5464	165	94	)	)	PUNCT
ejpam-5464	165	95	=	=	SYM
ejpam-5464	165	96	{	{	PUNCT
ejpam-5464	165	97	γ	γ	X
ejpam-5464	165	98	,	,	PUNCT
ejpam-5464	165	99	η	η	NOUN
ejpam-5464	165	100	}	}	PUNCT
ejpam-5464	165	101	.	.	PUNCT
ejpam-5464	166	1	but	but	CCONJ
ejpam-5464	166	2	,	,	PUNCT
ejpam-5464	166	3	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	166	4	)	)	PUNCT
ejpam-5464	166	5	̸=	̸=	PROPN
ejpam-5464	166	6	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	166	7	)	)	PUNCT
ejpam-5464	166	8	,	,	PUNCT
ejpam-5464	166	9	cml(η	cml(η	X
ejpam-5464	166	10	)	)	PUNCT
ejpam-5464	166	11	̸=	̸=	PROPN
ejpam-5464	166	12	mnl(η	mnl(η	PROPN
ejpam-5464	166	13	)	)	PUNCT
ejpam-5464	166	14	,	,	PUNCT
ejpam-5464	166	15	and	and	CCONJ
ejpam-5464	166	16	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	166	17	)	)	PUNCT
ejpam-5464	166	18	̸=	̸=	PROPN
ejpam-5464	166	19	mni(ξ	mni(ξ	NUM
ejpam-5464	166	20	)	)	PUNCT
ejpam-5464	166	21	.	.	PUNCT
ejpam-5464	167	1	lemma	lemma	PROPN
ejpam-5464	167	2	2	2	X
ejpam-5464	167	3	.	.	PUNCT
ejpam-5464	168	1	let	let	VERB
ejpam-5464	168	2	ℵ	ℵ	NOUN
ejpam-5464	168	3	be	be	AUX
ejpam-5464	168	4	a	a	DET
ejpam-5464	168	5	reflexive	reflexive	ADJ
ejpam-5464	168	6	relation	relation	NOUN
ejpam-5464	168	7	.	.	PUNCT
ejpam-5464	169	1	then	then	ADV
ejpam-5464	169	2	,	,	PUNCT
ejpam-5464	169	3	cnj(ξ	cnj(ξ	PROPN
ejpam-5464	169	4	)	)	PUNCT
ejpam-5464	169	5	⊆	⊆	NUM
ejpam-5464	169	6	nj(ξ	nj(ξ	NUM
ejpam-5464	169	7	)	)	PUNCT
ejpam-5464	169	8	,	,	PUNCT
ejpam-5464	169	9	∀ξ	∀ξ	X
ejpam-5464	169	10	∈	∈	NOUN
ejpam-5464	169	11	x	x	X
ejpam-5464	169	12	and	and	CCONJ
ejpam-5464	169	13	∀j	∀j	PROPN
ejpam-5464	169	14	∈	∈	PROPN
ejpam-5464	169	15	j.	j.	PROPN
ejpam-5464	169	16	proof	proof	PROPN
ejpam-5464	169	17	.	.	PUNCT
ejpam-5464	170	1	let	let	VERB
ejpam-5464	170	2	ℵ	ℵ	NOUN
ejpam-5464	170	3	be	be	AUX
ejpam-5464	170	4	a	a	DET
ejpam-5464	170	5	reflexive	reflexive	ADJ
ejpam-5464	170	6	relation	relation	NOUN
ejpam-5464	170	7	.	.	PUNCT
ejpam-5464	171	1	then	then	ADV
ejpam-5464	171	2	,	,	PUNCT
ejpam-5464	171	3	ξ	ξ	PROPN
ejpam-5464	171	4	∈	∈	PROPN
ejpam-5464	171	5	nj(ξ	nj(ξ	NOUN
ejpam-5464	171	6	)	)	PUNCT
ejpam-5464	171	7	,	,	PUNCT
ejpam-5464	171	8	∀ξ	∀ξ	X
ejpam-5464	171	9	∈	∈	NOUN
ejpam-5464	171	10	x.	x.	NOUN
ejpam-5464	171	11	now	now	ADV
ejpam-5464	171	12	,	,	PUNCT
ejpam-5464	171	13	let	let	VERB
ejpam-5464	171	14	γ	γ	X
ejpam-5464	171	15	∈	∈	PROPN
ejpam-5464	171	16	cnj(ξ	cnj(ξ	PROPN
ejpam-5464	171	17	)	)	PUNCT
ejpam-5464	171	18	.	.	PUNCT
ejpam-5464	172	1	then	then	ADV
ejpam-5464	172	2	,	,	PUNCT
ejpam-5464	172	3	nj(ξ	nj(ξ	PROPN
ejpam-5464	172	4	)	)	PUNCT
ejpam-5464	172	5	=	=	SYM
ejpam-5464	172	6	nj(γ	nj(γ	NOUN
ejpam-5464	172	7	)	)	PUNCT
ejpam-5464	172	8	.	.	PUNCT
ejpam-5464	173	1	hence	hence	ADV
ejpam-5464	173	2	,	,	PUNCT
ejpam-5464	173	3	γ	γ	PROPN
ejpam-5464	173	4	∈	∈	PROPN
ejpam-5464	173	5	nj(ξ	nj(ξ	PROPN
ejpam-5464	173	6	)	)	PUNCT
ejpam-5464	173	7	.	.	PUNCT
ejpam-5464	174	1	therefore	therefore	ADV
ejpam-5464	174	2	,	,	PUNCT
ejpam-5464	174	3	cnj(ξ	cnj(ξ	PROPN
ejpam-5464	174	4	)	)	PUNCT
ejpam-5464	174	5	⊆	⊆	NUM
ejpam-5464	174	6	nj(ξ	nj(ξ	NUM
ejpam-5464	174	7	)	)	PUNCT
ejpam-5464	174	8	.	.	PUNCT
ejpam-5464	175	1	the	the	DET
ejpam-5464	175	2	equality	equality	NOUN
ejpam-5464	175	3	in	in	ADP
ejpam-5464	175	4	lemma	lemma	PROPN
ejpam-5464	175	5	2	2	NUM
ejpam-5464	175	6	is	be	AUX
ejpam-5464	175	7	not	not	PART
ejpam-5464	175	8	true	true	ADJ
ejpam-5464	175	9	,	,	PUNCT
ejpam-5464	175	10	in	in	ADP
ejpam-5464	175	11	general	general	ADJ
ejpam-5464	175	12	.	.	PUNCT
ejpam-5464	175	13	example	example	NOUN
ejpam-5464	176	1	3	3	X
ejpam-5464	176	2	.	.	PUNCT
ejpam-5464	176	3	in	in	ADP
ejpam-5464	176	4	example	example	NOUN
ejpam-5464	176	5	2	2	NUM
ejpam-5464	176	6	,	,	PUNCT
ejpam-5464	176	7	cnr(η	cnr(η	X
ejpam-5464	176	8	)	)	PUNCT
ejpam-5464	176	9	=	=	SYM
ejpam-5464	176	10	{	{	PUNCT
ejpam-5464	176	11	η	η	NOUN
ejpam-5464	176	12	}	}	PUNCT
ejpam-5464	176	13	,	,	PUNCT
ejpam-5464	176	14	nr(η	nr(η	ADV
ejpam-5464	176	15	)	)	PUNCT
ejpam-5464	176	16	=	=	SYM
ejpam-5464	176	17	{	{	PUNCT
ejpam-5464	176	18	γ	γ	X
ejpam-5464	176	19	,	,	PUNCT
ejpam-5464	176	20	η	η	NOUN
ejpam-5464	176	21	}	}	PUNCT
ejpam-5464	176	22	,	,	PUNCT
ejpam-5464	176	23	cnl(ζ	cnl(ζ	PROPN
ejpam-5464	176	24	)	)	PUNCT
ejpam-5464	176	25	=	=	PRON
ejpam-5464	176	26	{	{	PUNCT
ejpam-5464	176	27	ζ	ζ	NOUN
ejpam-5464	176	28	}	}	PUNCT
ejpam-5464	176	29	,	,	PUNCT
ejpam-5464	176	30	nl(ζ	nl(ζ	ADV
ejpam-5464	176	31	)	)	PUNCT
ejpam-5464	176	32	=	=	SYM
ejpam-5464	176	33	{	{	PUNCT
ejpam-5464	176	34	ξ	ξ	PROPN
ejpam-5464	176	35	,	,	PUNCT
ejpam-5464	176	36	γ	γ	X
ejpam-5464	176	37	,	,	PUNCT
ejpam-5464	176	38	ζ	ζ	NOUN
ejpam-5464	176	39	}	}	PUNCT
ejpam-5464	176	40	,	,	PUNCT
ejpam-5464	176	41	cni(ζ	cni(ζ	NOUN
ejpam-5464	176	42	)	)	PUNCT
ejpam-5464	176	43	=	=	NOUN
ejpam-5464	176	44	{	{	PUNCT
ejpam-5464	176	45	ζ	ζ	NOUN
ejpam-5464	176	46	}	}	PUNCT
ejpam-5464	176	47	,	,	PUNCT
ejpam-5464	176	48	ni(ζ	ni(ζ	NUM
ejpam-5464	176	49	)	)	PUNCT
ejpam-5464	176	50	=	=	PRON
ejpam-5464	176	51	{	{	PUNCT
ejpam-5464	176	52	ξ	ξ	PROPN
ejpam-5464	176	53	,	,	PUNCT
ejpam-5464	176	54	ζ	ζ	NOUN
ejpam-5464	176	55	}	}	PUNCT
ejpam-5464	176	56	,	,	PUNCT
ejpam-5464	176	57	cnu(ζ	cnu(ζ	X
ejpam-5464	176	58	)	)	PUNCT
ejpam-5464	176	59	=	=	PRON
ejpam-5464	176	60	{	{	PUNCT
ejpam-5464	176	61	ξ	ξ	PROPN
ejpam-5464	176	62	,	,	PUNCT
ejpam-5464	176	63	ζ	ζ	NOUN
ejpam-5464	176	64	}	}	PUNCT
ejpam-5464	176	65	,	,	PUNCT
ejpam-5464	176	66	and	and	CCONJ
ejpam-5464	176	67	nu(ζ	nu(ζ	NUM
ejpam-5464	176	68	)	)	PUNCT
ejpam-5464	177	1	=	=	PRON
ejpam-5464	177	2	{	{	PUNCT
ejpam-5464	177	3	ξ	ξ	PROPN
ejpam-5464	177	4	,	,	PUNCT
ejpam-5464	177	5	γ	γ	X
ejpam-5464	177	6	,	,	PUNCT
ejpam-5464	177	7	ζ	ζ	NOUN
ejpam-5464	177	8	}	}	PUNCT
ejpam-5464	177	9	.	.	PUNCT
ejpam-5464	178	1	but	but	CCONJ
ejpam-5464	178	2	,	,	PUNCT
ejpam-5464	178	3	cnr(η	cnr(η	PROPN
ejpam-5464	178	4	)	)	PUNCT
ejpam-5464	178	5	̸=	̸=	PROPN
ejpam-5464	178	6	nr(η	nr(η	NOUN
ejpam-5464	178	7	)	)	PUNCT
ejpam-5464	178	8	,	,	PUNCT
ejpam-5464	178	9	cnl(ζ	cnl(ζ	PROPN
ejpam-5464	178	10	)	)	PUNCT
ejpam-5464	178	11	̸=	̸=	PROPN
ejpam-5464	178	12	nl(ζ	nl(ζ	PUNCT
ejpam-5464	178	13	)	)	PUNCT
ejpam-5464	178	14	,	,	PUNCT
ejpam-5464	178	15	cnu(ζ	cnu(ζ	PROPN
ejpam-5464	178	16	)	)	PUNCT
ejpam-5464	178	17	̸=	̸=	PROPN
ejpam-5464	178	18	nu(ζ	nu(ζ	NUM
ejpam-5464	178	19	)	)	PUNCT
ejpam-5464	178	20	,	,	PUNCT
ejpam-5464	178	21	and	and	CCONJ
ejpam-5464	178	22	cni(ζ	cni(ζ	NOUN
ejpam-5464	178	23	)	)	PUNCT
ejpam-5464	178	24	̸=	̸=	PROPN
ejpam-5464	178	25	ni(ζ	ni(ζ	NUM
ejpam-5464	178	26	)	)	PUNCT
ejpam-5464	178	27	.	.	PUNCT
ejpam-5464	179	1	the	the	DET
ejpam-5464	179	2	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	179	3	)	)	PUNCT
ejpam-5464	179	4	and	and	CCONJ
ejpam-5464	179	5	cnj(ξ	cnj(ξ	PROPN
ejpam-5464	179	6	)	)	PUNCT
ejpam-5464	179	7	are	be	AUX
ejpam-5464	179	8	independent	independent	ADJ
ejpam-5464	179	9	with	with	ADP
ejpam-5464	179	10	general	general	ADJ
ejpam-5464	179	11	relation	relation	NOUN
ejpam-5464	179	12	for	for	ADP
ejpam-5464	179	13	j	j	PROPN
ejpam-5464	179	14	∈	∈	PROPN
ejpam-5464	179	15	j	j	PROPN
ejpam-5464	179	16	,	,	PUNCT
ejpam-5464	179	17	in	in	ADP
ejpam-5464	179	18	general	general	ADJ
ejpam-5464	179	19	.	.	PUNCT
ejpam-5464	179	20	example	example	NOUN
ejpam-5464	180	1	4	4	NUM
ejpam-5464	180	2	.	.	X
ejpam-5464	180	3	in	in	ADP
ejpam-5464	180	4	example	example	NOUN
ejpam-5464	180	5	2	2	NUM
ejpam-5464	180	6	,	,	PUNCT
ejpam-5464	180	7	cmr(γ	cmr(γ	PROPN
ejpam-5464	180	8	)	)	PUNCT
ejpam-5464	180	9	̸=	̸=	PROPN
ejpam-5464	180	10	cnr(γ	cnr(γ	PROPN
ejpam-5464	180	11	)	)	PUNCT
ejpam-5464	180	12	and	and	CCONJ
ejpam-5464	180	13	cnl(ξ	cnl(ξ	PROPN
ejpam-5464	180	14	)	)	PUNCT
ejpam-5464	180	15	̸=	̸=	PROPN
ejpam-5464	180	16	cml(ξ	cml(ξ	PROPN
ejpam-5464	180	17	)	)	PUNCT
ejpam-5464	180	18	.	.	PUNCT
ejpam-5464	181	1	lemma	lemma	PROPN
ejpam-5464	181	2	3	3	X
ejpam-5464	181	3	.	.	PUNCT
ejpam-5464	182	1	let	let	VERB
ejpam-5464	182	2	ℵ	ℵ	NOUN
ejpam-5464	182	3	be	be	AUX
ejpam-5464	182	4	a	a	DET
ejpam-5464	182	5	tolerance	tolerance	NOUN
ejpam-5464	182	6	relation	relation	NOUN
ejpam-5464	182	7	.	.	PUNCT
ejpam-5464	183	1	then	then	ADV
ejpam-5464	183	2	,	,	PUNCT
ejpam-5464	183	3	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	183	4	)	)	PUNCT
ejpam-5464	183	5	⊆	⊆	NUM
ejpam-5464	183	6	cnj(ξ	cnj(ξ	NOUN
ejpam-5464	183	7	)	)	PUNCT
ejpam-5464	183	8	,	,	PUNCT
ejpam-5464	183	9	∀ξ	∀ξ	X
ejpam-5464	183	10	∈	∈	PROPN
ejpam-5464	183	11	x.	x.	NOUN
ejpam-5464	183	12	lemma	lemma	PROPN
ejpam-5464	183	13	4	4	NUM
ejpam-5464	183	14	.	.	PUNCT
ejpam-5464	184	1	[	[	X
ejpam-5464	184	2	35	35	NUM
ejpam-5464	184	3	]	]	PUNCT
ejpam-5464	184	4	let	let	VERB
ejpam-5464	184	5	ℵ	ℵ	PART
ejpam-5464	184	6	be	be	AUX
ejpam-5464	184	7	a	a	DET
ejpam-5464	184	8	tolerance	tolerance	NOUN
ejpam-5464	184	9	relation	relation	NOUN
ejpam-5464	184	10	.	.	PUNCT
ejpam-5464	185	1	then	then	ADV
ejpam-5464	185	2	,	,	PUNCT
ejpam-5464	185	3	mnj(ξ	mnj(ξ	PROPN
ejpam-5464	185	4	)	)	PUNCT
ejpam-5464	185	5	⊆	⊆	NUM
ejpam-5464	185	6	nj(ξ	nj(ξ	NUM
ejpam-5464	185	7	)	)	PUNCT
ejpam-5464	186	1	,	,	PUNCT
ejpam-5464	186	2	∀ξ	∀ξ	X
ejpam-5464	186	3	∈	∈	NOUN
ejpam-5464	186	4	x.	x.	NOUN
ejpam-5464	186	5	the	the	DET
ejpam-5464	186	6	equality	equality	NOUN
ejpam-5464	186	7	in	in	ADP
ejpam-5464	186	8	lemma	lemma	PROPN
ejpam-5464	186	9	4	4	NUM
ejpam-5464	186	10	is	be	AUX
ejpam-5464	186	11	not	not	PART
ejpam-5464	186	12	true	true	ADJ
ejpam-5464	186	13	,	,	PUNCT
ejpam-5464	186	14	in	in	ADP
ejpam-5464	186	15	general	general	ADJ
ejpam-5464	186	16	.	.	PUNCT
ejpam-5464	186	17	example	example	NOUN
ejpam-5464	187	1	5	5	NUM
ejpam-5464	187	2	.	.	PUNCT
ejpam-5464	188	1	in	in	ADP
ejpam-5464	188	2	example	example	NOUN
ejpam-5464	188	3	2	2	NUM
ejpam-5464	188	4	,	,	PUNCT
ejpam-5464	188	5	mnr(ζ	mnr(ζ	PROPN
ejpam-5464	188	6	)	)	PUNCT
ejpam-5464	188	7	̸=	̸=	PROPN
ejpam-5464	188	8	nr(ζ	nr(ζ	NOUN
ejpam-5464	188	9	)	)	PUNCT
ejpam-5464	188	10	,	,	PUNCT
ejpam-5464	188	11	mnr(γ	mnr(γ	X
ejpam-5464	188	12	)	)	PUNCT
ejpam-5464	188	13	̸=	̸=	PROPN
ejpam-5464	188	14	nr(γ	nr(γ	PUNCT
ejpam-5464	188	15	)	)	PUNCT
ejpam-5464	188	16	,	,	PUNCT
ejpam-5464	188	17	mnu(γ	mnu(γ	PROPN
ejpam-5464	188	18	)	)	PUNCT
ejpam-5464	188	19	̸=	̸=	PROPN
ejpam-5464	188	20	nu(γ	nu(γ	NUM
ejpam-5464	188	21	)	)	PUNCT
ejpam-5464	188	22	,	,	PUNCT
ejpam-5464	188	23	and	and	CCONJ
ejpam-5464	188	24	mni(γ	mni(γ	PROPN
ejpam-5464	188	25	)	)	PUNCT
ejpam-5464	188	26	̸=	̸=	PROPN
ejpam-5464	188	27	ni(γ	ni(γ	NUM
ejpam-5464	188	28	)	)	PUNCT
ejpam-5464	188	29	.	.	PUNCT
ejpam-5464	189	1	in	in	ADP
ejpam-5464	189	2	remark	remark	NOUN
ejpam-5464	189	3	1	1	NUM
ejpam-5464	189	4	,	,	PUNCT
ejpam-5464	189	5	a	a	DET
ejpam-5464	189	6	relationship	relationship	NOUN
ejpam-5464	189	7	between	between	ADP
ejpam-5464	189	8	neighborhood	neighborhood	NOUN
ejpam-5464	189	9	,	,	PUNCT
ejpam-5464	189	10	core	core	NOUN
ejpam-5464	189	11	neighborhood	neighborhood	NOUN
ejpam-5464	189	12	,	,	PUNCT
ejpam-5464	189	13	minimal	minimal	ADJ
ejpam-5464	189	14	neighborhood	neighborhood	NOUN
ejpam-5464	189	15	,	,	PUNCT
ejpam-5464	189	16	and	and	CCONJ
ejpam-5464	189	17	core	core	VERB
ejpam-5464	189	18	minimal	minimal	ADJ
ejpam-5464	189	19	neighborhood	neighborhood	NOUN
ejpam-5464	189	20	using	use	VERB
ejpam-5464	189	21	the	the	DET
ejpam-5464	189	22	four	four	NUM
ejpam-5464	189	23	types	type	NOUN
ejpam-5464	189	24	of	of	ADP
ejpam-5464	189	25	right	right	NOUN
ejpam-5464	189	26	,	,	PUNCT
ejpam-5464	189	27	left	left	ADJ
ejpam-5464	189	28	,	,	PUNCT
ejpam-5464	189	29	union	union	NOUN
ejpam-5464	189	30	,	,	PUNCT
ejpam-5464	189	31	and	and	CCONJ
ejpam-5464	189	32	intersection	intersection	NOUN
ejpam-5464	189	33	neighborhoods	neighborhood	NOUN
ejpam-5464	189	34	is	be	AUX
ejpam-5464	189	35	demonstrated	demonstrate	VERB
ejpam-5464	189	36	when	when	SCONJ
ejpam-5464	189	37	the	the	DET
ejpam-5464	189	38	relation	relation	NOUN
ejpam-5464	189	39	is	be	AUX
ejpam-5464	189	40	tolerance	tolerance	NOUN
ejpam-5464	189	41	.	.	PUNCT
ejpam-5464	190	1	remark	remark	PROPN
ejpam-5464	190	2	1	1	NUM
ejpam-5464	190	3	.	.	PUNCT
ejpam-5464	191	1	let	let	VERB
ejpam-5464	191	2	ℵ	ℵ	NOUN
ejpam-5464	191	3	be	be	AUX
ejpam-5464	191	4	a	a	DET
ejpam-5464	191	5	tolerance	tolerance	NOUN
ejpam-5464	191	6	relation	relation	NOUN
ejpam-5464	191	7	.	.	PUNCT
ejpam-5464	192	1	then	then	ADV
ejpam-5464	192	2	,	,	PUNCT
ejpam-5464	192	3	for	for	ADP
ejpam-5464	192	4	each	each	DET
ejpam-5464	192	5	ξ	ξ	X
ejpam-5464	192	6	∈	∈	PROPN
ejpam-5464	192	7	x	x	NOUN
ejpam-5464	192	8	:	:	PUNCT
ejpam-5464	192	9	mnj(ξ	mnj(ξ	NUM
ejpam-5464	192	10	)	)	PUNCT
ejpam-5464	192	11	↗	↗	PROPN
ejpam-5464	192	12	↘	↘	PROPN
ejpam-5464	192	13	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	192	14	)	)	PUNCT
ejpam-5464	192	15	nj(ξ	nj(ξ	PROPN
ejpam-5464	192	16	)	)	PUNCT
ejpam-5464	192	17	↘	↘	PROPN
ejpam-5464	192	18	↗	↗	PROPN
ejpam-5464	192	19	cnj(ξ	cnj(ξ	PROPN
ejpam-5464	192	20	)	)	PUNCT
ejpam-5464	192	21	the	the	DET
ejpam-5464	192	22	equality	equality	NOUN
ejpam-5464	192	23	of	of	ADP
ejpam-5464	192	24	these	these	DET
ejpam-5464	192	25	implications	implication	NOUN
ejpam-5464	192	26	is	be	AUX
ejpam-5464	192	27	not	not	PART
ejpam-5464	192	28	true	true	ADJ
ejpam-5464	192	29	in	in	ADP
ejpam-5464	192	30	general	general	ADJ
ejpam-5464	192	31	.	.	PUNCT
ejpam-5464	193	1	this	this	PRON
ejpam-5464	193	2	can	can	AUX
ejpam-5464	193	3	be	be	AUX
ejpam-5464	193	4	shown	show	VERB
ejpam-5464	193	5	in	in	ADP
ejpam-5464	193	6	examples	example	NOUN
ejpam-5464	193	7	2	2	NUM
ejpam-5464	193	8	,	,	PUNCT
ejpam-5464	193	9	3	3	NUM
ejpam-5464	193	10	,	,	PUNCT
ejpam-5464	193	11	4	4	NUM
ejpam-5464	193	12	,	,	PUNCT
ejpam-5464	193	13	and	and	CCONJ
ejpam-5464	193	14	5	5	NUM
ejpam-5464	193	15	.	.	X
ejpam-5464	194	1	in	in	ADP
ejpam-5464	194	2	the	the	DET
ejpam-5464	194	3	following	following	NOUN
ejpam-5464	194	4	,	,	PUNCT
ejpam-5464	194	5	we	we	PRON
ejpam-5464	194	6	study	study	VERB
ejpam-5464	194	7	rst	rst	PROPN
ejpam-5464	194	8	by	by	ADP
ejpam-5464	194	9	studying	study	VERB
ejpam-5464	194	10	ℵj(b	ℵj(b	NUM
ejpam-5464	194	11	)	)	PUNCT
ejpam-5464	194	12	and	and	CCONJ
ejpam-5464	194	13	ℵj(b	ℵj(b	NUM
ejpam-5464	194	14	)	)	PUNCT
ejpam-5464	194	15	,	,	PUNCT
ejpam-5464	194	16	we	we	PRON
ejpam-5464	194	17	give	give	VERB
ejpam-5464	194	18	results	result	NOUN
ejpam-5464	194	19	that	that	PRON
ejpam-5464	194	20	compare	compare	VERB
ejpam-5464	194	21	with	with	ADP
ejpam-5464	194	22	pawlak	pawlak	ADJ
ejpam-5464	194	23	.	.	PUNCT
ejpam-5464	195	1	i.	i.	PROPN
ejpam-5464	195	2	shbair	shbair	PROPN
ejpam-5464	195	3	et	et	PROPN
ejpam-5464	195	4	al	al	PROPN
ejpam-5464	195	5	.	.	PUNCT
ejpam-5464	195	6	/	/	SYM
ejpam-5464	195	7	eur	eur	PROPN
ejpam-5464	195	8	.	.	PUNCT
ejpam-5464	196	1	j.	j.	PROPN
ejpam-5464	196	2	pure	pure	PROPN
ejpam-5464	196	3	appl	appl	PROPN
ejpam-5464	196	4	.	.	PROPN
ejpam-5464	196	5	math	math	PROPN
ejpam-5464	196	6	,	,	PUNCT
ejpam-5464	196	7	17	17	NUM
ejpam-5464	196	8	(	(	PUNCT
ejpam-5464	196	9	4	4	NUM
ejpam-5464	196	10	)	)	PUNCT
ejpam-5464	196	11	(	(	PUNCT
ejpam-5464	196	12	2024	2024	NUM
ejpam-5464	196	13	)	)	PUNCT
ejpam-5464	196	14	,	,	PUNCT
ejpam-5464	196	15	3567	3567	NUM
ejpam-5464	196	16	-	-	SYM
ejpam-5464	196	17	3584	3584	NUM
ejpam-5464	196	18	3573	3573	NUM
ejpam-5464	196	19	definition	definition	NOUN
ejpam-5464	196	20	12	12	NUM
ejpam-5464	196	21	.	.	PUNCT
ejpam-5464	197	1	let	let	VERB
ejpam-5464	197	2	(	(	PUNCT
ejpam-5464	197	3	x,ℵ	x,ℵ	PROPN
ejpam-5464	197	4	,	,	PUNCT
ejpam-5464	197	5	cmj	cmj	NOUN
ejpam-5464	197	6	)	)	PUNCT
ejpam-5464	197	7	be	be	AUX
ejpam-5464	197	8	an	an	DET
ejpam-5464	197	9	approximation	approximation	NOUN
ejpam-5464	197	10	space	space	NOUN
ejpam-5464	197	11	with	with	ADP
ejpam-5464	197	12	b	b	PROPN
ejpam-5464	197	13	⊆	⊆	NUM
ejpam-5464	197	14	x.	x.	NOUN
ejpam-5464	197	15	then	then	ADV
ejpam-5464	197	16	,	,	PUNCT
ejpam-5464	197	17	cmj−lower	cmj−lower	NOUN
ejpam-5464	197	18	and	and	CCONJ
ejpam-5464	197	19	cmj−upper	cmj−upper	NOUN
ejpam-5464	197	20	approximations	approximation	NOUN
ejpam-5464	197	21	of	of	ADP
ejpam-5464	197	22	b	b	NOUN
ejpam-5464	197	23	are	be	AUX
ejpam-5464	197	24	defined	define	VERB
ejpam-5464	197	25	by	by	ADP
ejpam-5464	197	26	ℵj(b	ℵj(b	NUM
ejpam-5464	197	27	)	)	PUNCT
ejpam-5464	197	28	=	=	SYM
ejpam-5464	198	1	⋃	⋃	NOUN
ejpam-5464	198	2	{	{	PUNCT
ejpam-5464	198	3	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	198	4	)	)	PUNCT
ejpam-5464	198	5	:	:	PUNCT
ejpam-5464	198	6	cmj(ξ	cmj(ξ	X
ejpam-5464	198	7	)	)	PUNCT
ejpam-5464	198	8	⊆	⊆	NUM
ejpam-5464	198	9	b	b	NOUN
ejpam-5464	198	10	}	}	PUNCT
ejpam-5464	198	11	,	,	PUNCT
ejpam-5464	198	12	and	and	CCONJ
ejpam-5464	198	13	ℵj(b	ℵj(b	NUM
ejpam-5464	198	14	)	)	PUNCT
ejpam-5464	198	15	=	=	SYM
ejpam-5464	198	16	⋃	⋃	NOUN
ejpam-5464	198	17	{	{	PUNCT
ejpam-5464	198	18	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	198	19	)	)	PUNCT
ejpam-5464	198	20	:	:	PUNCT
ejpam-5464	198	21	cmj(ξ	cmj(ξ	X
ejpam-5464	198	22	)	)	PUNCT
ejpam-5464	198	23	∩b	∩b	NOUN
ejpam-5464	198	24	̸=	̸=	PROPN
ejpam-5464	198	25	ϕ	ϕ	NOUN
ejpam-5464	198	26	}	}	PUNCT
ejpam-5464	198	27	,	,	PUNCT
ejpam-5464	198	28	respectively	respectively	ADV
ejpam-5464	198	29	.	.	PUNCT
ejpam-5464	199	1	definition	definition	NOUN
ejpam-5464	199	2	13	13	NUM
ejpam-5464	199	3	.	.	PUNCT
ejpam-5464	200	1	in	in	ADP
ejpam-5464	200	2	definition	definition	NOUN
ejpam-5464	200	3	12	12	NUM
ejpam-5464	200	4	,	,	PUNCT
ejpam-5464	200	5	b	b	PROPN
ejpam-5464	200	6	is	be	AUX
ejpam-5464	200	7	called	call	VERB
ejpam-5464	200	8	cmj−exact	cmj−exact	PROPN
ejpam-5464	200	9	if	if	SCONJ
ejpam-5464	200	10	ℵj(b	ℵj(b	NUM
ejpam-5464	200	11	)	)	PUNCT
ejpam-5464	200	12	=	=	SYM
ejpam-5464	200	13	ℵj(b	ℵj(b	NUM
ejpam-5464	200	14	)	)	PUNCT
ejpam-5464	200	15	,	,	PUNCT
ejpam-5464	200	16	∀j	∀j	PROPN
ejpam-5464	200	17	∈	∈	PROPN
ejpam-5464	200	18	j.	j.	PROPN
ejpam-5464	200	19	otherwise	otherwise	ADV
ejpam-5464	200	20	,	,	PUNCT
ejpam-5464	200	21	b	b	PROPN
ejpam-5464	200	22	is	be	AUX
ejpam-5464	200	23	cmj−rough	cmj−rough	PROPN
ejpam-5464	200	24	.	.	PUNCT
ejpam-5464	201	1	definition	definition	NOUN
ejpam-5464	201	2	14	14	NUM
ejpam-5464	201	3	.	.	PUNCT
ejpam-5464	202	1	for	for	ADP
ejpam-5464	202	2	each	each	DET
ejpam-5464	202	3	j	j	PROPN
ejpam-5464	202	4	∈	∈	PROPN
ejpam-5464	202	5	j	j	PROPN
ejpam-5464	202	6	,	,	PUNCT
ejpam-5464	202	7	cmj−boundary	cmj−boundary	ADJ
ejpam-5464	202	8	,	,	PUNCT
ejpam-5464	202	9	cmj−positive	cmj−positive	ADJ
ejpam-5464	202	10	,	,	PUNCT
ejpam-5464	202	11	and	and	CCONJ
ejpam-5464	202	12	cmj−negative	cmj−negative	PROPN
ejpam-5464	202	13	sets	set	NOUN
ejpam-5464	202	14	are	be	AUX
ejpam-5464	202	15	bj(b	bj(b	PRON
ejpam-5464	202	16	)	)	PUNCT
ejpam-5464	203	1	=	=	SYM
ejpam-5464	203	2	ℵj(b)−	ℵj(b)−	NOUN
ejpam-5464	203	3	ℵj(b	ℵj(b	NUM
ejpam-5464	203	4	)	)	PUNCT
ejpam-5464	203	5	,	,	PUNCT
ejpam-5464	203	6	pj(b	pj(b	NOUN
ejpam-5464	203	7	)	)	PUNCT
ejpam-5464	203	8	=	=	SYM
ejpam-5464	203	9	ℵj(b	ℵj(b	NUM
ejpam-5464	203	10	)	)	PUNCT
ejpam-5464	203	11	,	,	PUNCT
ejpam-5464	203	12	and	and	CCONJ
ejpam-5464	203	13	nj(b	nj(b	NUM
ejpam-5464	203	14	)	)	PUNCT
ejpam-5464	203	15	=	=	SYM
ejpam-5464	203	16	x−	x−	PROPN
ejpam-5464	203	17	ℵj(b	ℵj(b	NUM
ejpam-5464	203	18	)	)	PUNCT
ejpam-5464	203	19	,	,	PUNCT
ejpam-5464	203	20	respectively	respectively	ADV
ejpam-5464	203	21	.	.	PUNCT
ejpam-5464	204	1	definition	definition	NOUN
ejpam-5464	204	2	15	15	NUM
ejpam-5464	204	3	.	.	PUNCT
ejpam-5464	205	1	if	if	SCONJ
ejpam-5464	205	2	ℵ	ℵ	NOUN
ejpam-5464	205	3	is	be	AUX
ejpam-5464	205	4	a	a	DET
ejpam-5464	205	5	general	general	ADJ
ejpam-5464	205	6	relation	relation	NOUN
ejpam-5464	205	7	with	with	ADP
ejpam-5464	205	8	b	b	PROPN
ejpam-5464	205	9	⊆	⊆	NUM
ejpam-5464	205	10	x	x	PUNCT
ejpam-5464	205	11	and	and	CCONJ
ejpam-5464	205	12	j	j	PROPN
ejpam-5464	205	13	∈	∈	PROPN
ejpam-5464	205	14	j	j	PROPN
ejpam-5464	205	15	,	,	PUNCT
ejpam-5464	205	16	the	the	DET
ejpam-5464	205	17	cmj−accuracy	cmj−accuracy	NOUN
ejpam-5464	205	18	of	of	ADP
ejpam-5464	205	19	approximation	approximation	NOUN
ejpam-5464	205	20	of	of	ADP
ejpam-5464	205	21	the	the	DET
ejpam-5464	205	22	subset	subset	NOUN
ejpam-5464	205	23	b	b	NOUN
ejpam-5464	205	24	is	be	AUX
ejpam-5464	205	25	κj(b	κj(b	ADJ
ejpam-5464	205	26	)	)	PUNCT
ejpam-5464	205	27	=	=	SYM
ejpam-5464	205	28	|ℵj(b)|	|ℵj(b)|	ADJ
ejpam-5464	205	29	|ℵj(b)|	|ℵj(b)|	NOUN
ejpam-5464	205	30	.	.	PUNCT
ejpam-5464	206	1	where	where	SCONJ
ejpam-5464	206	2	,	,	PUNCT
ejpam-5464	206	3	|ℵj(b)|	|ℵj(b)|	NOUN
ejpam-5464	206	4	=	=	NOUN
ejpam-5464	206	5	̸	̸	NUM
ejpam-5464	206	6	0	0	PUNCT
ejpam-5464	206	7	and	and	CCONJ
ejpam-5464	206	8	|.|	|.|	NOUN
ejpam-5464	206	9	denotes	denote	VERB
ejpam-5464	206	10	the	the	DET
ejpam-5464	206	11	cardinality	cardinality	PROPN
ejpam-5464	206	12	.	.	PUNCT
ejpam-5464	207	1	remark	remark	PROPN
ejpam-5464	207	2	2	2	NUM
ejpam-5464	207	3	.	.	PUNCT
ejpam-5464	208	1	from	from	ADP
ejpam-5464	208	2	definition	definition	NOUN
ejpam-5464	208	3	15	15	NUM
ejpam-5464	208	4	,	,	PUNCT
ejpam-5464	208	5	we	we	PRON
ejpam-5464	208	6	deduce	deduce	VERB
ejpam-5464	208	7	that	that	PRON
ejpam-5464	208	8	with	with	ADP
ejpam-5464	208	9	a	a	DET
ejpam-5464	208	10	relation	relation	NOUN
ejpam-5464	208	11	ℵ	ℵ	NOUN
ejpam-5464	208	12	:	:	PUNCT
ejpam-5464	208	13	i	i	NOUN
ejpam-5464	208	14	)	)	PUNCT
ejpam-5464	208	15	0	0	NUM
ejpam-5464	208	16	≤	≤	NUM
ejpam-5464	209	1	κj(b	κj(b	NOUN
ejpam-5464	209	2	)	)	PUNCT
ejpam-5464	209	3	≤	≤	NUM
ejpam-5464	209	4	1	1	NUM
ejpam-5464	209	5	.	.	X
ejpam-5464	209	6	ii	ii	PROPN
ejpam-5464	209	7	)	)	PUNCT
ejpam-5464	209	8	let	let	VERB
ejpam-5464	209	9	κj(b	κj(b	NOUN
ejpam-5464	209	10	)	)	PUNCT
ejpam-5464	209	11	=	=	SYM
ejpam-5464	210	1	1	1	X
ejpam-5464	210	2	.	.	PUNCT
ejpam-5464	210	3	then	then	ADV
ejpam-5464	210	4	,	,	PUNCT
ejpam-5464	210	5	b	b	PROPN
ejpam-5464	210	6	is	be	AUX
ejpam-5464	210	7	cmj−exact	cmj−exact	PROPN
ejpam-5464	210	8	.	.	PUNCT
ejpam-5464	211	1	otherwise	otherwise	ADV
ejpam-5464	211	2	,	,	PUNCT
ejpam-5464	211	3	b	b	PROPN
ejpam-5464	211	4	is	be	AUX
ejpam-5464	211	5	cmj−rough	cmj−rough	PROPN
ejpam-5464	211	6	.	.	PUNCT
ejpam-5464	212	1	theorem	theorem	NOUN
ejpam-5464	212	2	2	2	NUM
ejpam-5464	212	3	.	.	PUNCT
ejpam-5464	213	1	let	let	VERB
ejpam-5464	213	2	ℵ	ℵ	NOUN
ejpam-5464	213	3	be	be	AUX
ejpam-5464	213	4	a	a	DET
ejpam-5464	213	5	general	general	ADJ
ejpam-5464	213	6	relation	relation	NOUN
ejpam-5464	213	7	and	and	CCONJ
ejpam-5464	213	8	a	a	PRON
ejpam-5464	213	9	,	,	PUNCT
ejpam-5464	213	10	b	b	PROPN
ejpam-5464	213	11	⊆	⊆	NUM
ejpam-5464	213	12	x.	x.	NOUN
ejpam-5464	213	13	then	then	ADV
ejpam-5464	213	14	,	,	PUNCT
ejpam-5464	213	15	the	the	DET
ejpam-5464	213	16	following	follow	VERB
ejpam-5464	213	17	are	be	AUX
ejpam-5464	213	18	the	the	DET
ejpam-5464	213	19	properties	property	NOUN
ejpam-5464	213	20	of	of	ADP
ejpam-5464	213	21	a	a	DET
ejpam-5464	213	22	generalization	generalization	NOUN
ejpam-5464	213	23	of	of	ADP
ejpam-5464	213	24	rst	rst	PROPN
ejpam-5464	213	25	,	,	PUNCT
ejpam-5464	213	26	with	with	ADP
ejpam-5464	213	27	ac	ac	PROPN
ejpam-5464	213	28	representing	represent	VERB
ejpam-5464	213	29	the	the	DET
ejpam-5464	213	30	complement	complement	NOUN
ejpam-5464	213	31	.	.	PUNCT
ejpam-5464	214	1	(	(	PUNCT
ejpam-5464	214	2	l1	l1	PROPN
ejpam-5464	214	3	)	)	PUNCT
ejpam-5464	214	4	ℵj(x	ℵj(x	PUNCT
ejpam-5464	214	5	)	)	PUNCT
ejpam-5464	214	6	=	=	SYM
ejpam-5464	215	1	x	x	X
ejpam-5464	215	2	,	,	PUNCT
ejpam-5464	215	3	(	(	PUNCT
ejpam-5464	215	4	l1	l1	PROPN
ejpam-5464	215	5	*	*	NUM
ejpam-5464	215	6	)	)	PUNCT
ejpam-5464	215	7	ℵj(x	ℵj(x	PUNCT
ejpam-5464	215	8	)	)	PUNCT
ejpam-5464	215	9	=	=	SYM
ejpam-5464	215	10	x	x	X
ejpam-5464	215	11	,	,	PUNCT
ejpam-5464	215	12	(	(	PUNCT
ejpam-5464	215	13	l2	l2	NOUN
ejpam-5464	215	14	)	)	PUNCT
ejpam-5464	215	15	ℵj(ϕ	ℵj(ϕ	ADV
ejpam-5464	215	16	)	)	PUNCT
ejpam-5464	215	17	=	=	SYM
ejpam-5464	215	18	ϕ	ϕ	NOUN
ejpam-5464	215	19	,	,	PUNCT
ejpam-5464	215	20	(	(	PUNCT
ejpam-5464	215	21	l2	l2	NOUN
ejpam-5464	215	22	*	*	PUNCT
ejpam-5464	215	23	)	)	PUNCT
ejpam-5464	215	24	ℵj(ϕ	ℵj(ϕ	ADV
ejpam-5464	215	25	)	)	PUNCT
ejpam-5464	215	26	=	=	SYM
ejpam-5464	216	1	ϕ	ϕ	NOUN
ejpam-5464	216	2	,	,	PUNCT
ejpam-5464	216	3	(	(	PUNCT
ejpam-5464	216	4	l3	l3	PROPN
ejpam-5464	216	5	)	)	PUNCT
ejpam-5464	216	6	ℵj(a	ℵj(a	PUNCT
ejpam-5464	216	7	)	)	PUNCT
ejpam-5464	216	8	⊆	⊆	NUM
ejpam-5464	216	9	a	a	DET
ejpam-5464	216	10	,	,	PUNCT
ejpam-5464	216	11	(	(	PUNCT
ejpam-5464	216	12	l3	l3	NOUN
ejpam-5464	216	13	*	*	NOUN
ejpam-5464	216	14	)	)	PUNCT
ejpam-5464	216	15	a	a	DET
ejpam-5464	216	16	⊆	⊆	NUM
ejpam-5464	216	17	ℵj(a	ℵj(a	NOUN
ejpam-5464	216	18	)	)	PUNCT
ejpam-5464	216	19	,	,	PUNCT
ejpam-5464	216	20	(	(	PUNCT
ejpam-5464	216	21	l4	l4	PROPN
ejpam-5464	216	22	)	)	PUNCT
ejpam-5464	216	23	ℵj(a	ℵj(a	NOUN
ejpam-5464	216	24	)	)	PUNCT
ejpam-5464	216	25	∩	∩	NOUN
ejpam-5464	216	26	ℵj(b	ℵj(b	NUM
ejpam-5464	216	27	)	)	PUNCT
ejpam-5464	216	28	=	=	SYM
ejpam-5464	216	29	ℵj(a	ℵj(a	PRON
ejpam-5464	216	30	∩b	∩b	NOUN
ejpam-5464	216	31	)	)	PUNCT
ejpam-5464	216	32	,	,	PUNCT
ejpam-5464	216	33	(	(	PUNCT
ejpam-5464	216	34	l4	l4	PROPN
ejpam-5464	216	35	*	*	NOUN
ejpam-5464	216	36	)	)	PUNCT
ejpam-5464	216	37	ℵj(a	ℵj(a	PRON
ejpam-5464	216	38	∪b	∪b	NOUN
ejpam-5464	216	39	)	)	PUNCT
ejpam-5464	216	40	=	=	SYM
ejpam-5464	216	41	ℵj(a	ℵj(a	NOUN
ejpam-5464	216	42	)	)	PUNCT
ejpam-5464	216	43	∪	∪	ADP
ejpam-5464	216	44	ℵj(b	ℵj(b	NUM
ejpam-5464	216	45	)	)	PUNCT
ejpam-5464	216	46	,	,	PUNCT
ejpam-5464	216	47	(	(	PUNCT
ejpam-5464	216	48	l5	l5	PROPN
ejpam-5464	216	49	)	)	PUNCT
ejpam-5464	216	50	ℵj(a	ℵj(a	PUNCT
ejpam-5464	217	1	c	c	X
ejpam-5464	217	2	)	)	PUNCT
ejpam-5464	217	3	=	=	SYM
ejpam-5464	218	1	[	[	X
ejpam-5464	218	2	ℵj(a	ℵj(a	NOUN
ejpam-5464	218	3	)	)	PUNCT
ejpam-5464	218	4	]	]	PUNCT
ejpam-5464	219	1	c	c	X
ejpam-5464	219	2	,	,	PUNCT
ejpam-5464	219	3	(	(	PUNCT
ejpam-5464	219	4	l6	l6	NOUN
ejpam-5464	219	5	)	)	PUNCT
ejpam-5464	219	6	ℵj(ℵj(a	ℵj(ℵj(a	ADV
ejpam-5464	219	7	)	)	PUNCT
ejpam-5464	219	8	)	)	PUNCT
ejpam-5464	220	1	=	=	SYM
ejpam-5464	220	2	ℵj(a	ℵj(a	NOUN
ejpam-5464	220	3	)	)	PUNCT
ejpam-5464	220	4	,	,	PUNCT
ejpam-5464	220	5	(	(	PUNCT
ejpam-5464	220	6	l6	l6	NOUN
ejpam-5464	220	7	*	*	X
ejpam-5464	220	8	)	)	PUNCT
ejpam-5464	220	9	ℵj(ℵj(a	ℵj(ℵj(a	ADV
ejpam-5464	220	10	)	)	PUNCT
ejpam-5464	220	11	)	)	PUNCT
ejpam-5464	221	1	=	=	SYM
ejpam-5464	221	2	ℵj(a	ℵj(a	NOUN
ejpam-5464	221	3	)	)	PUNCT
ejpam-5464	221	4	,	,	PUNCT
ejpam-5464	221	5	(	(	PUNCT
ejpam-5464	221	6	l7	l7	PROPN
ejpam-5464	221	7	)	)	PUNCT
ejpam-5464	221	8	if	if	SCONJ
ejpam-5464	221	9	a	a	DET
ejpam-5464	221	10	⊆	⊆	NUM
ejpam-5464	221	11	b	b	NOUN
ejpam-5464	221	12	,	,	PUNCT
ejpam-5464	221	13	then	then	ADV
ejpam-5464	221	14	ℵj(a	ℵj(a	NUM
ejpam-5464	221	15	)	)	PUNCT
ejpam-5464	221	16	⊆	⊆	NUM
ejpam-5464	221	17	ℵj(b	ℵj(b	NUM
ejpam-5464	221	18	)	)	PUNCT
ejpam-5464	221	19	,	,	PUNCT
ejpam-5464	221	20	(	(	PUNCT
ejpam-5464	221	21	l7	l7	PROPN
ejpam-5464	221	22	*	*	PROPN
ejpam-5464	221	23	)	)	PUNCT
ejpam-5464	221	24	if	if	SCONJ
ejpam-5464	221	25	a	a	DET
ejpam-5464	221	26	⊆	⊆	NUM
ejpam-5464	221	27	b	b	NOUN
ejpam-5464	221	28	,	,	PUNCT
ejpam-5464	221	29	then	then	ADV
ejpam-5464	221	30	ℵj(a	ℵj(a	NUM
ejpam-5464	221	31	)	)	PUNCT
ejpam-5464	221	32	⊆	⊆	NUM
ejpam-5464	221	33	ℵj(b	ℵj(b	NUM
ejpam-5464	221	34	)	)	PUNCT
ejpam-5464	221	35	,	,	PUNCT
ejpam-5464	221	36	(	(	PUNCT
ejpam-5464	221	37	l8	l8	PROPN
ejpam-5464	221	38	)	)	PUNCT
ejpam-5464	221	39	ℵj([ℵj(a	ℵj([ℵj(a	X
ejpam-5464	221	40	)	)	PUNCT
ejpam-5464	221	41	]	]	PUNCT
ejpam-5464	222	1	c	c	X
ejpam-5464	222	2	)	)	PUNCT
ejpam-5464	222	3	=	=	SYM
ejpam-5464	223	1	[	[	X
ejpam-5464	223	2	ℵj(a	ℵj(a	NOUN
ejpam-5464	223	3	)	)	PUNCT
ejpam-5464	223	4	]	]	PUNCT
ejpam-5464	224	1	c	c	X
ejpam-5464	224	2	,	,	PUNCT
ejpam-5464	224	3	(	(	PUNCT
ejpam-5464	224	4	l8	l8	PROPN
ejpam-5464	224	5	*	*	X
ejpam-5464	224	6	)	)	PUNCT
ejpam-5464	224	7	ℵj([ℵj(a	ℵj([ℵj(a	X
ejpam-5464	224	8	)	)	PUNCT
ejpam-5464	224	9	]	]	PUNCT
ejpam-5464	224	10	c	c	X
ejpam-5464	224	11	)	)	PUNCT
ejpam-5464	224	12	=	=	SYM
ejpam-5464	225	1	[	[	X
ejpam-5464	225	2	ℵj(a	ℵj(a	NOUN
ejpam-5464	225	3	)	)	PUNCT
ejpam-5464	225	4	]	]	PUNCT
ejpam-5464	226	1	c	c	X
ejpam-5464	226	2	,	,	PUNCT
ejpam-5464	226	3	(	(	PUNCT
ejpam-5464	226	4	l9	l9	PROPN
ejpam-5464	226	5	)	)	PUNCT
ejpam-5464	226	6	ℵj(a	ℵj(a	NOUN
ejpam-5464	226	7	)	)	PUNCT
ejpam-5464	226	8	∪	∪	ADP
ejpam-5464	226	9	ℵj(b	ℵj(b	NUM
ejpam-5464	226	10	)	)	PUNCT
ejpam-5464	226	11	⊆	⊆	NUM
ejpam-5464	226	12	ℵj(a	ℵj(a	PRON
ejpam-5464	226	13	∪b	∪b	NOUN
ejpam-5464	226	14	)	)	PUNCT
ejpam-5464	226	15	,	,	PUNCT
ejpam-5464	226	16	(	(	PUNCT
ejpam-5464	226	17	l9	l9	PROPN
ejpam-5464	226	18	*	*	NUM
ejpam-5464	226	19	)	)	PUNCT
ejpam-5464	226	20	ℵj(a	ℵj(a	PUNCT
ejpam-5464	226	21	∩b	∩b	NOUN
ejpam-5464	226	22	)	)	PUNCT
ejpam-5464	226	23	⊆	⊆	NUM
ejpam-5464	226	24	ℵj(a	ℵj(a	NOUN
ejpam-5464	226	25	)	)	PUNCT
ejpam-5464	226	26	∩	∩	NOUN
ejpam-5464	226	27	ℵj(b	ℵj(b	NUM
ejpam-5464	226	28	)	)	PUNCT
ejpam-5464	226	29	.	.	PUNCT
ejpam-5464	227	1	proof	proof	NOUN
ejpam-5464	227	2	.	.	PUNCT
ejpam-5464	228	1	properties	property	NOUN
ejpam-5464	228	2	(	(	PUNCT
ejpam-5464	228	3	l1	l1	PROPN
ejpam-5464	228	4	)	)	PUNCT
ejpam-5464	228	5	,	,	PUNCT
ejpam-5464	228	6	(	(	PUNCT
ejpam-5464	228	7	l1	l1	PROPN
ejpam-5464	228	8	*	*	NUM
ejpam-5464	228	9	)	)	PUNCT
ejpam-5464	228	10	,	,	PUNCT
ejpam-5464	228	11	(	(	PUNCT
ejpam-5464	228	12	l2	l2	NOUN
ejpam-5464	228	13	)	)	PUNCT
ejpam-5464	228	14	,	,	PUNCT
ejpam-5464	228	15	(	(	PUNCT
ejpam-5464	228	16	l2	l2	NOUN
ejpam-5464	228	17	*	*	PUNCT
ejpam-5464	228	18	)	)	PUNCT
ejpam-5464	228	19	,	,	PUNCT
ejpam-5464	228	20	(	(	PUNCT
ejpam-5464	228	21	l3	l3	NOUN
ejpam-5464	228	22	)	)	PUNCT
ejpam-5464	228	23	,	,	PUNCT
ejpam-5464	228	24	(	(	PUNCT
ejpam-5464	228	25	l3	l3	X
ejpam-5464	228	26	*	*	NUM
ejpam-5464	228	27	)	)	PUNCT
ejpam-5464	228	28	,	,	PUNCT
ejpam-5464	228	29	(	(	PUNCT
ejpam-5464	228	30	l6	l6	NOUN
ejpam-5464	228	31	)	)	PUNCT
ejpam-5464	228	32	,	,	PUNCT
ejpam-5464	228	33	and	and	CCONJ
ejpam-5464	228	34	(	(	PUNCT
ejpam-5464	228	35	l6	l6	PROPN
ejpam-5464	228	36	*	*	PUNCT
ejpam-5464	228	37	)	)	PUNCT
ejpam-5464	228	38	are	be	AUX
ejpam-5464	228	39	obvious	obvious	ADJ
ejpam-5464	228	40	.	.	PUNCT
ejpam-5464	229	1	hence	hence	ADV
ejpam-5464	229	2	,	,	PUNCT
ejpam-5464	229	3	the	the	DET
ejpam-5464	229	4	remainder	remainder	NOUN
ejpam-5464	229	5	of	of	ADP
ejpam-5464	229	6	the	the	DET
ejpam-5464	229	7	properties	property	NOUN
ejpam-5464	229	8	can	can	AUX
ejpam-5464	229	9	be	be	AUX
ejpam-5464	229	10	proven	prove	VERB
ejpam-5464	229	11	as	as	SCONJ
ejpam-5464	229	12	follows	follow	VERB
ejpam-5464	229	13	:	:	PUNCT
ejpam-5464	229	14	(	(	PUNCT
ejpam-5464	229	15	l4	l4	PROPN
ejpam-5464	229	16	)	)	PUNCT
ejpam-5464	229	17	ℵj(a	ℵj(a	PUNCT
ejpam-5464	230	1	∩	∩	ADJ
ejpam-5464	230	2	b	b	X
ejpam-5464	230	3	)	)	PUNCT
ejpam-5464	230	4	=	=	SYM
ejpam-5464	230	5	⋃	⋃	NOUN
ejpam-5464	230	6	{	{	PUNCT
ejpam-5464	230	7	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	230	8	)	)	PUNCT
ejpam-5464	230	9	:	:	PUNCT
ejpam-5464	230	10	cmj(ξ	cmj(ξ	X
ejpam-5464	230	11	)	)	PUNCT
ejpam-5464	230	12	⊆	⊆	NUM
ejpam-5464	230	13	a	a	DET
ejpam-5464	230	14	∩	∩	ADJ
ejpam-5464	230	15	b	b	NOUN
ejpam-5464	230	16	}	}	PUNCT
ejpam-5464	230	17	=	=	SYM
ejpam-5464	230	18	[	[	PUNCT
ejpam-5464	230	19	⋃	⋃	X
ejpam-5464	230	20	{	{	PUNCT
ejpam-5464	230	21	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	230	22	)	)	PUNCT
ejpam-5464	230	23	:	:	PUNCT
ejpam-5464	230	24	cmj(ξ	cmj(ξ	X
ejpam-5464	230	25	)	)	PUNCT
ejpam-5464	230	26	⊆	⊆	NUM
ejpam-5464	230	27	a	a	DET
ejpam-5464	230	28	}	}	PUNCT
ejpam-5464	230	29	]	]	PUNCT
ejpam-5464	230	30	∩	∩	NOUN
ejpam-5464	230	31	[	[	PUNCT
ejpam-5464	230	32	⋃	⋃	X
ejpam-5464	230	33	{	{	PUNCT
ejpam-5464	230	34	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	230	35	)	)	PUNCT
ejpam-5464	230	36	:	:	PUNCT
ejpam-5464	230	37	cmj(ξ	cmj(ξ	X
ejpam-5464	230	38	)	)	PUNCT
ejpam-5464	230	39	⊆	⊆	NUM
ejpam-5464	230	40	b	b	NOUN
ejpam-5464	230	41	}	}	PUNCT
ejpam-5464	230	42	]	]	PUNCT
ejpam-5464	230	43	=	=	SYM
ejpam-5464	230	44	ℵj(a	ℵj(a	NOUN
ejpam-5464	230	45	)	)	PUNCT
ejpam-5464	230	46	∩	∩	NOUN
ejpam-5464	230	47	ℵj(b	ℵj(b	NUM
ejpam-5464	230	48	)	)	PUNCT
ejpam-5464	230	49	.	.	PUNCT
ejpam-5464	231	1	(	(	PUNCT
ejpam-5464	231	2	l4	l4	PROPN
ejpam-5464	231	3	*	*	PUNCT
ejpam-5464	231	4	)	)	PUNCT
ejpam-5464	231	5	similar	similar	ADJ
ejpam-5464	231	6	to	to	ADP
ejpam-5464	231	7	the	the	DET
ejpam-5464	231	8	proof	proof	NOUN
ejpam-5464	231	9	of	of	ADP
ejpam-5464	231	10	(	(	PUNCT
ejpam-5464	231	11	l4	l4	PROPN
ejpam-5464	231	12	)	)	PUNCT
ejpam-5464	231	13	.	.	PUNCT
ejpam-5464	232	1	(	(	PUNCT
ejpam-5464	232	2	l5	l5	PROPN
ejpam-5464	232	3	)	)	PUNCT
ejpam-5464	232	4	ℵj(a	ℵj(a	PUNCT
ejpam-5464	233	1	c	c	X
ejpam-5464	233	2	)	)	PUNCT
ejpam-5464	233	3	=	=	SYM
ejpam-5464	233	4	⋃	⋃	NOUN
ejpam-5464	233	5	{	{	PUNCT
ejpam-5464	233	6	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	233	7	)	)	PUNCT
ejpam-5464	233	8	:	:	PUNCT
ejpam-5464	233	9	cmj(ξ	cmj(ξ	X
ejpam-5464	233	10	)	)	PUNCT
ejpam-5464	233	11	⊆	⊆	NUM
ejpam-5464	233	12	ac}=	ac}=	NOUN
ejpam-5464	233	13	⋃	⋃	PROPN
ejpam-5464	233	14	{	{	PUNCT
ejpam-5464	233	15	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	233	16	)	)	PUNCT
ejpam-5464	233	17	:	:	PUNCT
ejpam-5464	233	18	cmj(ξ	cmj(ξ	X
ejpam-5464	233	19	)	)	PUNCT
ejpam-5464	233	20	∩	∩	NOUN
ejpam-5464	233	21	a	a	DET
ejpam-5464	233	22	=	=	SYM
ejpam-5464	233	23	ϕ	ϕ	NOUN
ejpam-5464	233	24	}	}	PUNCT
ejpam-5464	233	25	.	.	PUNCT
ejpam-5464	234	1	since	since	SCONJ
ejpam-5464	234	2	ξ	ξ	PROPN
ejpam-5464	234	3	∈	∈	PROPN
ejpam-5464	234	4	cm(ξ	cm(ξ	NOUN
ejpam-5464	234	5	)	)	PUNCT
ejpam-5464	234	6	,	,	PUNCT
ejpam-5464	234	7	for	for	ADP
ejpam-5464	234	8	all	all	DET
ejpam-5464	234	9	ξ	ξ	X
ejpam-5464	234	10	∈	∈	NOUN
ejpam-5464	234	11	x	x	NOUN
ejpam-5464	234	12	,	,	PUNCT
ejpam-5464	234	13	then	then	ADV
ejpam-5464	234	14	ℵj(a	ℵj(a	ADP
ejpam-5464	234	15	c	c	X
ejpam-5464	234	16	)	)	PUNCT
ejpam-5464	234	17	=	=	SYM
ejpam-5464	234	18	⋃	⋃	NOUN
ejpam-5464	234	19	{	{	PUNCT
ejpam-5464	234	20	ξ	ξ	X
ejpam-5464	234	21	∈	∈	PROPN
ejpam-5464	234	22	x	x	X
ejpam-5464	234	23	:	:	PUNCT
ejpam-5464	234	24	cmj(ξ	cmj(ξ	X
ejpam-5464	234	25	)	)	PUNCT
ejpam-5464	234	26	∩	∩	NOUN
ejpam-5464	234	27	a	a	DET
ejpam-5464	234	28	̸=	̸=	PROPN
ejpam-5464	234	29	ϕ}c=[ℵj(a	ϕ}c=[ℵj(a	NOUN
ejpam-5464	234	30	)	)	PUNCT
ejpam-5464	234	31	]	]	PUNCT
ejpam-5464	235	1	c.	c.	PROPN
ejpam-5464	235	2	(	(	PUNCT
ejpam-5464	235	3	l7	l7	PROPN
ejpam-5464	235	4	)	)	PUNCT
ejpam-5464	235	5	let	let	VERB
ejpam-5464	235	6	a	a	DET
ejpam-5464	235	7	⊆	⊆	NUM
ejpam-5464	235	8	b.	b.	NOUN
ejpam-5464	235	9	then	then	ADV
ejpam-5464	235	10	,	,	PUNCT
ejpam-5464	235	11	ℵj(a	ℵj(a	ADV
ejpam-5464	235	12	)	)	PUNCT
ejpam-5464	235	13	=	=	SYM
ejpam-5464	235	14	⋃	⋃	NOUN
ejpam-5464	235	15	{	{	PUNCT
ejpam-5464	235	16	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	235	17	)	)	PUNCT
ejpam-5464	235	18	:	:	PUNCT
ejpam-5464	235	19	cmj(ξ	cmj(ξ	X
ejpam-5464	235	20	)	)	PUNCT
ejpam-5464	235	21	)	)	PUNCT
ejpam-5464	236	1	⊆	⊆	X
ejpam-5464	236	2	a	a	DET
ejpam-5464	236	3	}	}	PUNCT
ejpam-5464	236	4	⊆	⊆	NUM
ejpam-5464	236	5	⋃	⋃	NOUN
ejpam-5464	236	6	{	{	PUNCT
ejpam-5464	236	7	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	236	8	)	)	PUNCT
ejpam-5464	236	9	:	:	PUNCT
ejpam-5464	236	10	cmj(ξ	cmj(ξ	X
ejpam-5464	236	11	)	)	PUNCT
ejpam-5464	236	12	⊆	⊆	NUM
ejpam-5464	236	13	b	b	NOUN
ejpam-5464	236	14	}	}	PUNCT
ejpam-5464	236	15	=	=	SYM
ejpam-5464	236	16	ℵj(b	ℵj(b	NUM
ejpam-5464	236	17	)	)	PUNCT
ejpam-5464	236	18	.	.	PUNCT
ejpam-5464	237	1	(	(	PUNCT
ejpam-5464	237	2	l7	l7	PROPN
ejpam-5464	237	3	*	*	PROPN
ejpam-5464	237	4	)	)	PUNCT
ejpam-5464	237	5	similar	similar	ADJ
ejpam-5464	237	6	to	to	ADP
ejpam-5464	237	7	the	the	DET
ejpam-5464	237	8	proof	proof	NOUN
ejpam-5464	237	9	of	of	ADP
ejpam-5464	237	10	(	(	PUNCT
ejpam-5464	237	11	l7	l7	PROPN
ejpam-5464	237	12	)	)	PUNCT
ejpam-5464	237	13	.	.	PUNCT
ejpam-5464	238	1	(	(	PUNCT
ejpam-5464	238	2	l8	l8	PROPN
ejpam-5464	238	3	)	)	PUNCT
ejpam-5464	238	4	by	by	ADP
ejpam-5464	238	5	using	use	VERB
ejpam-5464	238	6	(	(	PUNCT
ejpam-5464	238	7	l7	l7	PROPN
ejpam-5464	238	8	)	)	PUNCT
ejpam-5464	238	9	,	,	PUNCT
ejpam-5464	238	10	we	we	PRON
ejpam-5464	238	11	have	have	VERB
ejpam-5464	238	12	ℵj([ℵj(a	ℵj([ℵj(a	NOUN
ejpam-5464	238	13	)	)	PUNCT
ejpam-5464	238	14	]	]	PUNCT
ejpam-5464	239	1	c	c	X
ejpam-5464	239	2	)	)	PUNCT
ejpam-5464	239	3	⊆	⊆	NUM
ejpam-5464	239	4	[	[	NOUN
ejpam-5464	239	5	ℵj(a	ℵj(a	NOUN
ejpam-5464	239	6	)	)	PUNCT
ejpam-5464	239	7	]	]	PUNCT
ejpam-5464	240	1	c.	c.	PROPN
ejpam-5464	240	2	conversely	conversely	ADV
ejpam-5464	240	3	,	,	PUNCT
ejpam-5464	240	4	let	let	VERB
ejpam-5464	240	5	γ	γ	X
ejpam-5464	240	6	∈	∈	PROPN
ejpam-5464	240	7	[	[	X
ejpam-5464	240	8	ℵj(a	ℵj(a	NOUN
ejpam-5464	240	9	)	)	PUNCT
ejpam-5464	240	10	]	]	PUNCT
ejpam-5464	241	1	c.	c.	PROPN
ejpam-5464	241	2	then	then	ADV
ejpam-5464	241	3	,	,	PUNCT
ejpam-5464	241	4	γ	γ	PROPN
ejpam-5464	241	5	∈	∈	PROPN
ejpam-5464	241	6	[	[	PUNCT
ejpam-5464	241	7	⋃	⋃	NOUN
ejpam-5464	241	8	{	{	PUNCT
ejpam-5464	241	9	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	241	10	)	)	PUNCT
ejpam-5464	241	11	:	:	PUNCT
ejpam-5464	241	12	cmj(ξ	cmj(ξ	X
ejpam-5464	241	13	)	)	PUNCT
ejpam-5464	241	14	)	)	PUNCT
ejpam-5464	241	15	⊆	⊆	NUM
ejpam-5464	241	16	a}]c	a}]c	PUNCT
ejpam-5464	241	17	=	=	SYM
ejpam-5464	241	18	⋃	⋃	NOUN
ejpam-5464	241	19	{	{	PUNCT
ejpam-5464	241	20	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	241	21	)	)	PUNCT
ejpam-5464	241	22	:	:	PUNCT
ejpam-5464	241	23	cmj(ξ	cmj(ξ	X
ejpam-5464	241	24	)	)	PUNCT
ejpam-5464	241	25	)	)	PUNCT
ejpam-5464	241	26	∩	∩	NOUN
ejpam-5464	241	27	a	a	DET
ejpam-5464	241	28	=	=	SYM
ejpam-5464	241	29	ϕ	ϕ	NOUN
ejpam-5464	241	30	}	}	PUNCT
ejpam-5464	241	31	.	.	PUNCT
ejpam-5464	242	1	so	so	ADV
ejpam-5464	242	2	,	,	PUNCT
ejpam-5464	242	3	γ	γ	PROPN
ejpam-5464	242	4	∈⋃	∈⋃	NOUN
ejpam-5464	242	5	{	{	PUNCT
ejpam-5464	242	6	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	242	7	)	)	PUNCT
ejpam-5464	242	8	:	:	PUNCT
ejpam-5464	242	9	cmj(ξ	cmj(ξ	X
ejpam-5464	242	10	)	)	PUNCT
ejpam-5464	242	11	)	)	PUNCT
ejpam-5464	242	12	∩	∩	NOUN
ejpam-5464	242	13	ℵj(a	ℵj(a	PRON
ejpam-5464	242	14	)	)	PUNCT
ejpam-5464	242	15	=	=	SYM
ejpam-5464	242	16	ϕ	ϕ	NOUN
ejpam-5464	242	17	}	}	PUNCT
ejpam-5464	242	18	.	.	PUNCT
ejpam-5464	243	1	then	then	ADV
ejpam-5464	243	2	,	,	PUNCT
ejpam-5464	243	3	γ	γ	X
ejpam-5464	243	4	∈	∈	PROPN
ejpam-5464	243	5	⋃	⋃	NOUN
ejpam-5464	243	6	{	{	PUNCT
ejpam-5464	243	7	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	243	8	)	)	PUNCT
ejpam-5464	243	9	:	:	PUNCT
ejpam-5464	243	10	cmj(ξ	cmj(ξ	X
ejpam-5464	243	11	)	)	PUNCT
ejpam-5464	243	12	)	)	PUNCT
ejpam-5464	244	1	⊆	⊆	NUM
ejpam-5464	244	2	[	[	NOUN
ejpam-5464	244	3	ℵj(a	ℵj(a	NOUN
ejpam-5464	244	4	)	)	PUNCT
ejpam-5464	244	5	]	]	PUNCT
ejpam-5464	245	1	c	c	X
ejpam-5464	245	2	}	}	PUNCT
ejpam-5464	245	3	.	.	PUNCT
ejpam-5464	246	1	this	this	PRON
ejpam-5464	246	2	implies	imply	VERB
ejpam-5464	246	3	that	that	SCONJ
ejpam-5464	246	4	,	,	PUNCT
ejpam-5464	246	5	γ	γ	PROPN
ejpam-5464	246	6	∈	∈	PROPN
ejpam-5464	246	7	ℵj([ℵj(a	ℵj([ℵj(a	NOUN
ejpam-5464	246	8	)	)	PUNCT
ejpam-5464	246	9	]	]	PUNCT
ejpam-5464	247	1	c	c	X
ejpam-5464	247	2	)	)	PUNCT
ejpam-5464	247	3	.	.	PUNCT
ejpam-5464	248	1	therefore	therefore	ADV
ejpam-5464	248	2	,	,	PUNCT
ejpam-5464	248	3	[	[	X
ejpam-5464	248	4	ℵj(a	ℵj(a	NOUN
ejpam-5464	248	5	)	)	PUNCT
ejpam-5464	248	6	]	]	PUNCT
ejpam-5464	248	7	c	c	X
ejpam-5464	248	8	⊆	⊆	NUM
ejpam-5464	248	9	ℵj([ℵj(a	ℵj([ℵj(a	NOUN
ejpam-5464	248	10	)	)	PUNCT
ejpam-5464	248	11	]	]	PUNCT
ejpam-5464	249	1	c	c	X
ejpam-5464	249	2	)	)	PUNCT
ejpam-5464	249	3	.	.	PUNCT
ejpam-5464	250	1	i.	i.	PROPN
ejpam-5464	250	2	shbair	shbair	PROPN
ejpam-5464	250	3	et	et	PROPN
ejpam-5464	250	4	al	al	PROPN
ejpam-5464	250	5	.	.	PUNCT
ejpam-5464	250	6	/	/	SYM
ejpam-5464	250	7	eur	eur	PROPN
ejpam-5464	250	8	.	.	PUNCT
ejpam-5464	251	1	j.	j.	PROPN
ejpam-5464	251	2	pure	pure	PROPN
ejpam-5464	251	3	appl	appl	PROPN
ejpam-5464	251	4	.	.	PROPN
ejpam-5464	251	5	math	math	PROPN
ejpam-5464	251	6	,	,	PUNCT
ejpam-5464	251	7	17	17	NUM
ejpam-5464	251	8	(	(	PUNCT
ejpam-5464	251	9	4	4	NUM
ejpam-5464	251	10	)	)	PUNCT
ejpam-5464	251	11	(	(	PUNCT
ejpam-5464	251	12	2024	2024	NUM
ejpam-5464	251	13	)	)	PUNCT
ejpam-5464	251	14	,	,	PUNCT
ejpam-5464	251	15	3567	3567	NUM
ejpam-5464	251	16	-	-	SYM
ejpam-5464	251	17	3584	3584	NUM
ejpam-5464	251	18	3574	3574	NUM
ejpam-5464	251	19	(	(	PUNCT
ejpam-5464	251	20	l8	l8	PROPN
ejpam-5464	251	21	*	*	PUNCT
ejpam-5464	251	22	)	)	PUNCT
ejpam-5464	251	23	similar	similar	ADJ
ejpam-5464	251	24	to	to	ADP
ejpam-5464	251	25	the	the	DET
ejpam-5464	251	26	proof	proof	NOUN
ejpam-5464	251	27	of	of	ADP
ejpam-5464	251	28	(	(	PUNCT
ejpam-5464	251	29	l8	l8	PROPN
ejpam-5464	251	30	)	)	PUNCT
ejpam-5464	251	31	.	.	PUNCT
ejpam-5464	252	1	(	(	PUNCT
ejpam-5464	252	2	l9	l9	PROPN
ejpam-5464	252	3	)	)	PUNCT
ejpam-5464	252	4	since	since	SCONJ
ejpam-5464	252	5	a	a	DET
ejpam-5464	252	6	⊆	⊆	NUM
ejpam-5464	252	7	a∪b	a∪b	NOUN
ejpam-5464	252	8	andb	andb	NOUN
ejpam-5464	252	9	⊆	⊆	NUM
ejpam-5464	252	10	a∪b	a∪b	NOUN
ejpam-5464	252	11	.	.	PUNCT
ejpam-5464	253	1	then	then	ADV
ejpam-5464	253	2	,	,	PUNCT
ejpam-5464	253	3	ℵj(a	ℵj(a	ADV
ejpam-5464	253	4	)	)	PUNCT
ejpam-5464	253	5	⊆	⊆	NUM
ejpam-5464	253	6	ℵj(a∪b	ℵj(a∪b	NOUN
ejpam-5464	253	7	)	)	PUNCT
ejpam-5464	253	8	and	and	CCONJ
ejpam-5464	253	9	ℵj(b	ℵj(b	NUM
ejpam-5464	253	10	)	)	PUNCT
ejpam-5464	253	11	⊆	⊆	NUM
ejpam-5464	253	12	ℵj(a∪b	ℵj(a∪b	NOUN
ejpam-5464	253	13	)	)	PUNCT
ejpam-5464	253	14	.	.	PUNCT
ejpam-5464	254	1	therefore	therefore	ADV
ejpam-5464	254	2	,	,	PUNCT
ejpam-5464	254	3	ℵj(a	ℵj(a	ADV
ejpam-5464	254	4	)	)	PUNCT
ejpam-5464	254	5	∪	∪	ADP
ejpam-5464	254	6	ℵj(b	ℵj(b	NUM
ejpam-5464	254	7	)	)	PUNCT
ejpam-5464	254	8	⊆	⊆	NUM
ejpam-5464	254	9	ℵj(a	ℵj(a	PRON
ejpam-5464	254	10	∪b	∪b	NOUN
ejpam-5464	254	11	)	)	PUNCT
ejpam-5464	254	12	.	.	PUNCT
ejpam-5464	255	1	(	(	PUNCT
ejpam-5464	255	2	l9	l9	PROPN
ejpam-5464	255	3	*	*	NOUN
ejpam-5464	255	4	)	)	PUNCT
ejpam-5464	255	5	similar	similar	ADJ
ejpam-5464	255	6	to	to	ADP
ejpam-5464	255	7	the	the	DET
ejpam-5464	255	8	proof	proof	NOUN
ejpam-5464	255	9	of	of	ADP
ejpam-5464	255	10	(	(	PUNCT
ejpam-5464	255	11	l9	l9	PROPN
ejpam-5464	255	12	)	)	PUNCT
ejpam-5464	255	13	.	.	PUNCT
ejpam-5464	256	1	the	the	DET
ejpam-5464	256	2	equality	equality	NOUN
ejpam-5464	256	3	of	of	ADP
ejpam-5464	256	4	l8	l8	PROPN
ejpam-5464	256	5	and	and	CCONJ
ejpam-5464	256	6	l9	l9	PROPN
ejpam-5464	256	7	in	in	ADP
ejpam-5464	256	8	theorem	theorem	ADJ
ejpam-5464	256	9	2	2	NUM
ejpam-5464	256	10	is	be	AUX
ejpam-5464	256	11	not	not	PART
ejpam-5464	256	12	true	true	ADJ
ejpam-5464	256	13	,	,	PUNCT
ejpam-5464	256	14	in	in	ADP
ejpam-5464	256	15	general	general	ADJ
ejpam-5464	256	16	.	.	PUNCT
ejpam-5464	256	17	example	example	NOUN
ejpam-5464	257	1	6	6	NUM
ejpam-5464	257	2	.	.	PUNCT
ejpam-5464	258	1	if	if	SCONJ
ejpam-5464	258	2	x	x	PRON
ejpam-5464	258	3	=	=	PRON
ejpam-5464	258	4	{	{	PUNCT
ejpam-5464	258	5	ξ	ξ	PROPN
ejpam-5464	258	6	,	,	PUNCT
ejpam-5464	258	7	γ	γ	X
ejpam-5464	258	8	,	,	PUNCT
ejpam-5464	258	9	ζ	ζ	NOUN
ejpam-5464	258	10	,	,	PUNCT
ejpam-5464	258	11	η	η	NOUN
ejpam-5464	258	12	}	}	PUNCT
ejpam-5464	258	13	with	with	ADP
ejpam-5464	258	14	ℵ	ℵ	NOUN
ejpam-5464	258	15	=	=	SYM
ejpam-5464	258	16	{	{	PUNCT
ejpam-5464	258	17	(	(	PUNCT
ejpam-5464	258	18	ξ	ξ	PROPN
ejpam-5464	258	19	,	,	PUNCT
ejpam-5464	258	20	ξ	ξ	NOUN
ejpam-5464	258	21	)	)	PUNCT
ejpam-5464	258	22	,	,	PUNCT
ejpam-5464	258	23	(	(	PUNCT
ejpam-5464	258	24	γ	γ	X
ejpam-5464	258	25	,	,	PUNCT
ejpam-5464	258	26	γ	γ	NOUN
ejpam-5464	258	27	)	)	PUNCT
ejpam-5464	258	28	,	,	PUNCT
ejpam-5464	258	29	(	(	PUNCT
ejpam-5464	258	30	ζ	ζ	NOUN
ejpam-5464	258	31	,	,	PUNCT
ejpam-5464	258	32	ζ),(ξ	ζ),(ξ	PROPN
ejpam-5464	258	33	,	,	PUNCT
ejpam-5464	258	34	ζ	ζ	NOUN
ejpam-5464	258	35	)	)	PUNCT
ejpam-5464	258	36	,	,	PUNCT
ejpam-5464	258	37	(	(	PUNCT
ejpam-5464	258	38	γ	γ	X
ejpam-5464	258	39	,	,	PUNCT
ejpam-5464	258	40	η	η	NOUN
ejpam-5464	258	41	)	)	PUNCT
ejpam-5464	258	42	,	,	PUNCT
ejpam-5464	258	43	(	(	PUNCT
ejpam-5464	258	44	ζ	ζ	X
ejpam-5464	258	45	,	,	PUNCT
ejpam-5464	258	46	ξ	ξ	NOUN
ejpam-5464	258	47	)	)	PUNCT
ejpam-5464	258	48	,	,	PUNCT
ejpam-5464	258	49	(	(	PUNCT
ejpam-5464	258	50	η	η	PROPN
ejpam-5464	258	51	,	,	PUNCT
ejpam-5464	258	52	ζ	ζ	NOUN
ejpam-5464	258	53	)	)	PUNCT
ejpam-5464	258	54	}	}	PUNCT
ejpam-5464	258	55	,	,	PUNCT
ejpam-5464	258	56	then	then	ADV
ejpam-5464	258	57	nr(x,ℵ	nr(x,ℵ	NOUN
ejpam-5464	258	58	)	)	PUNCT
ejpam-5464	258	59	=	=	PRON
ejpam-5464	258	60	{	{	PUNCT
ejpam-5464	258	61	{	{	PUNCT
ejpam-5464	258	62	ξ	ξ	PROPN
ejpam-5464	258	63	,	,	PUNCT
ejpam-5464	258	64	ζ	ζ	NOUN
ejpam-5464	258	65	}	}	PUNCT
ejpam-5464	258	66	,	,	PUNCT
ejpam-5464	258	67	{	{	PUNCT
ejpam-5464	258	68	γ	γ	X
ejpam-5464	258	69	,	,	PUNCT
ejpam-5464	258	70	η	η	NOUN
ejpam-5464	258	71	}	}	PUNCT
ejpam-5464	258	72	,	,	PUNCT
ejpam-5464	258	73	{	{	PUNCT
ejpam-5464	258	74	ζ	ζ	NOUN
ejpam-5464	258	75	}	}	PUNCT
ejpam-5464	258	76	}	}	PUNCT
ejpam-5464	258	77	,	,	PUNCT
ejpam-5464	258	78	nl(x,ℵ	nl(x,ℵ	NOUN
ejpam-5464	258	79	)	)	PUNCT
ejpam-5464	258	80	=	=	PRON
ejpam-5464	258	81	{	{	PUNCT
ejpam-5464	258	82	{	{	PUNCT
ejpam-5464	258	83	ξ	ξ	PROPN
ejpam-5464	258	84	,	,	PUNCT
ejpam-5464	258	85	ζ	ζ	NOUN
ejpam-5464	258	86	}	}	PUNCT
ejpam-5464	258	87	,	,	PUNCT
ejpam-5464	258	88	{	{	PUNCT
ejpam-5464	258	89	γ	γ	X
ejpam-5464	258	90	}	}	PUNCT
ejpam-5464	258	91	,	,	PUNCT
ejpam-5464	258	92	{	{	PUNCT
ejpam-5464	258	93	ξ	ξ	X
ejpam-5464	258	94	,	,	PUNCT
ejpam-5464	258	95	ζ	ζ	NOUN
ejpam-5464	258	96	,	,	PUNCT
ejpam-5464	258	97	η	η	NOUN
ejpam-5464	258	98	}	}	PUNCT
ejpam-5464	258	99	}	}	PUNCT
ejpam-5464	258	100	,	,	PUNCT
ejpam-5464	258	101	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	258	102	)	)	PUNCT
ejpam-5464	258	103	=	=	SYM
ejpam-5464	258	104	{	{	PUNCT
ejpam-5464	258	105	ξ	ξ	PROPN
ejpam-5464	258	106	,	,	PUNCT
ejpam-5464	258	107	ζ	ζ	NOUN
ejpam-5464	258	108	}	}	PUNCT
ejpam-5464	258	109	,	,	PUNCT
ejpam-5464	258	110	mnr(γ	mnr(γ	NOUN
ejpam-5464	258	111	)	)	PUNCT
ejpam-5464	258	112	=	=	SYM
ejpam-5464	258	113	mnr(η	mnr(η	PROPN
ejpam-5464	258	114	)	)	PUNCT
ejpam-5464	258	115	=	=	SYM
ejpam-5464	258	116	{	{	PUNCT
ejpam-5464	258	117	γ	γ	X
ejpam-5464	258	118	,	,	PUNCT
ejpam-5464	258	119	η	η	NOUN
ejpam-5464	258	120	}	}	PUNCT
ejpam-5464	258	121	,	,	PUNCT
ejpam-5464	258	122	mnr(ζ	mnr(ζ	PROPN
ejpam-5464	258	123	)	)	PUNCT
ejpam-5464	258	124	=	=	SYM
ejpam-5464	258	125	{	{	PUNCT
ejpam-5464	258	126	ζ	ζ	NOUN
ejpam-5464	258	127	}	}	PUNCT
ejpam-5464	258	128	,	,	PUNCT
ejpam-5464	258	129	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	258	130	)	)	PUNCT
ejpam-5464	258	131	=	=	SYM
ejpam-5464	258	132	mnl(ζ	mnl(ζ	PROPN
ejpam-5464	258	133	)	)	PUNCT
ejpam-5464	258	134	=	=	SYM
ejpam-5464	258	135	{	{	PUNCT
ejpam-5464	258	136	ξ	ξ	PROPN
ejpam-5464	258	137	,	,	PUNCT
ejpam-5464	258	138	ζ	ζ	NOUN
ejpam-5464	258	139	}	}	PUNCT
ejpam-5464	258	140	,	,	PUNCT
ejpam-5464	258	141	mnl(γ	mnl(γ	PROPN
ejpam-5464	258	142	)	)	PUNCT
ejpam-5464	258	143	=	=	PUNCT
ejpam-5464	258	144	{	{	PUNCT
ejpam-5464	258	145	γ	γ	X
ejpam-5464	258	146	}	}	PUNCT
ejpam-5464	258	147	,	,	PUNCT
ejpam-5464	258	148	mnl(η	mnl(η	PROPN
ejpam-5464	258	149	)	)	PUNCT
ejpam-5464	258	150	=	=	SYM
ejpam-5464	258	151	{	{	PUNCT
ejpam-5464	258	152	ξ	ξ	PROPN
ejpam-5464	258	153	,	,	PUNCT
ejpam-5464	258	154	ζ	ζ	NOUN
ejpam-5464	258	155	,	,	PUNCT
ejpam-5464	258	156	η	η	NOUN
ejpam-5464	258	157	}	}	PUNCT
ejpam-5464	258	158	.	.	PUNCT
ejpam-5464	259	1	then	then	ADV
ejpam-5464	259	2	,	,	PUNCT
ejpam-5464	259	3	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	259	4	)	)	PUNCT
ejpam-5464	259	5	=	=	SYM
ejpam-5464	259	6	{	{	PUNCT
ejpam-5464	260	1	ξ	ξ	NOUN
ejpam-5464	260	2	}	}	PUNCT
ejpam-5464	260	3	,	,	PUNCT
ejpam-5464	260	4	cmr(γ	cmr(γ	PROPN
ejpam-5464	260	5	)	)	PUNCT
ejpam-5464	260	6	=	=	SYM
ejpam-5464	260	7	cmr(η	cmr(η	PROPN
ejpam-5464	260	8	)	)	PUNCT
ejpam-5464	260	9	=	=	SYM
ejpam-5464	260	10	{	{	PUNCT
ejpam-5464	260	11	γ	γ	X
ejpam-5464	260	12	,	,	PUNCT
ejpam-5464	260	13	η	η	NOUN
ejpam-5464	260	14	}	}	PUNCT
ejpam-5464	260	15	,	,	PUNCT
ejpam-5464	260	16	cmr(ζ	cmr(ζ	PROPN
ejpam-5464	260	17	)	)	PUNCT
ejpam-5464	260	18	=	=	PRON
ejpam-5464	260	19	{	{	PUNCT
ejpam-5464	260	20	ζ	ζ	NOUN
ejpam-5464	260	21	}	}	PUNCT
ejpam-5464	260	22	,	,	PUNCT
ejpam-5464	260	23	cml(ξ	cml(ξ	PROPN
ejpam-5464	260	24	)	)	PUNCT
ejpam-5464	260	25	=	=	SYM
ejpam-5464	260	26	cml(ζ	cml(ζ	PROPN
ejpam-5464	260	27	)	)	PUNCT
ejpam-5464	260	28	=	=	SYM
ejpam-5464	260	29	{	{	PUNCT
ejpam-5464	260	30	ξ	ξ	PROPN
ejpam-5464	260	31	,	,	PUNCT
ejpam-5464	260	32	ζ	ζ	NOUN
ejpam-5464	260	33	}	}	PUNCT
ejpam-5464	260	34	,	,	PUNCT
ejpam-5464	260	35	cml(γ	cml(γ	NOUN
ejpam-5464	260	36	)	)	PUNCT
ejpam-5464	260	37	=	=	SYM
ejpam-5464	260	38	{	{	PUNCT
ejpam-5464	260	39	γ	γ	X
ejpam-5464	260	40	}	}	PUNCT
ejpam-5464	260	41	,	,	PUNCT
ejpam-5464	260	42	cml(η	cml(η	PROPN
ejpam-5464	260	43	)	)	PUNCT
ejpam-5464	260	44	=	=	SYM
ejpam-5464	260	45	{	{	PUNCT
ejpam-5464	260	46	η	η	NOUN
ejpam-5464	260	47	}	}	PUNCT
ejpam-5464	260	48	,	,	PUNCT
ejpam-5464	260	49	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	260	50	)	)	PUNCT
ejpam-5464	260	51	=	=	SYM
ejpam-5464	260	52	{	{	PUNCT
ejpam-5464	260	53	ξ	ξ	NOUN
ejpam-5464	260	54	}	}	PUNCT
ejpam-5464	260	55	,	,	PUNCT
ejpam-5464	260	56	cmi(γ	cmi(γ	PROPN
ejpam-5464	260	57	)	)	PUNCT
ejpam-5464	260	58	=	=	NOUN
ejpam-5464	260	59	{	{	PUNCT
ejpam-5464	260	60	γ	γ	X
ejpam-5464	260	61	}	}	PUNCT
ejpam-5464	260	62	,	,	PUNCT
ejpam-5464	260	63	cmi(ζ	cmi(ζ	NOUN
ejpam-5464	260	64	)	)	PUNCT
ejpam-5464	260	65	=	=	SYM
ejpam-5464	260	66	{	{	PUNCT
ejpam-5464	260	67	ζ	ζ	NOUN
ejpam-5464	260	68	}	}	PUNCT
ejpam-5464	260	69	,	,	PUNCT
ejpam-5464	260	70	cmi(η	cmi(η	X
ejpam-5464	260	71	)	)	PUNCT
ejpam-5464	260	72	=	=	SYM
ejpam-5464	260	73	{	{	PUNCT
ejpam-5464	260	74	η	η	NOUN
ejpam-5464	260	75	}	}	PUNCT
ejpam-5464	260	76	,	,	PUNCT
ejpam-5464	260	77	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	260	78	)	)	PUNCT
ejpam-5464	260	79	=	=	SYM
ejpam-5464	260	80	cmu(ζ	cmu(ζ	PROPN
ejpam-5464	260	81	)	)	PUNCT
ejpam-5464	260	82	=	=	PRON
ejpam-5464	260	83	{	{	PUNCT
ejpam-5464	260	84	ξ	ξ	PROPN
ejpam-5464	260	85	,	,	PUNCT
ejpam-5464	260	86	ζ	ζ	NOUN
ejpam-5464	260	87	}	}	PUNCT
ejpam-5464	260	88	,	,	PUNCT
ejpam-5464	260	89	and	and	CCONJ
ejpam-5464	260	90	cmu(γ	cmu(γ	NOUN
ejpam-5464	260	91	)	)	PUNCT
ejpam-5464	260	92	=	=	SYM
ejpam-5464	260	93	cmu(η	cmu(η	PROPN
ejpam-5464	260	94	)	)	PUNCT
ejpam-5464	260	95	=	=	SYM
ejpam-5464	260	96	{	{	PUNCT
ejpam-5464	260	97	γ	γ	X
ejpam-5464	260	98	,	,	PUNCT
ejpam-5464	260	99	η	η	NOUN
ejpam-5464	260	100	}	}	PUNCT
ejpam-5464	260	101	.	.	PUNCT
ejpam-5464	261	1	let	let	VERB
ejpam-5464	261	2	a	a	DET
ejpam-5464	261	3	=	=	X
ejpam-5464	261	4	{	{	PUNCT
ejpam-5464	261	5	γ	γ	X
ejpam-5464	261	6	}	}	PUNCT
ejpam-5464	261	7	,	,	PUNCT
ejpam-5464	261	8	b	b	X
ejpam-5464	261	9	=	=	SYM
ejpam-5464	261	10	{	{	PUNCT
ejpam-5464	261	11	η	η	NOUN
ejpam-5464	261	12	}	}	PUNCT
ejpam-5464	261	13	,	,	PUNCT
ejpam-5464	261	14	c	c	X
ejpam-5464	261	15	=	=	SYM
ejpam-5464	261	16	{	{	PUNCT
ejpam-5464	261	17	ξ	ξ	NOUN
ejpam-5464	261	18	}	}	PUNCT
ejpam-5464	261	19	,	,	PUNCT
ejpam-5464	261	20	and	and	CCONJ
ejpam-5464	261	21	d	d	NOUN
ejpam-5464	261	22	=	=	PUNCT
ejpam-5464	261	23	{	{	PUNCT
ejpam-5464	261	24	ζ	ζ	NOUN
ejpam-5464	261	25	}	}	PUNCT
ejpam-5464	261	26	.	.	PUNCT
ejpam-5464	262	1	then	then	ADV
ejpam-5464	262	2	,	,	PUNCT
ejpam-5464	262	3	ℵr(a	ℵr(a	NUM
ejpam-5464	262	4	)	)	PUNCT
ejpam-5464	262	5	=	=	PUNCT
ejpam-5464	262	6	ℵr(b	ℵr(b	ADP
ejpam-5464	262	7	)	)	PUNCT
ejpam-5464	262	8	=	=	NOUN
ejpam-5464	262	9	ℵl(c	ℵl(c	NUM
ejpam-5464	262	10	)	)	PUNCT
ejpam-5464	262	11	=	=	PUNCT
ejpam-5464	262	12	ℵl(d	ℵl(d	X
ejpam-5464	262	13	)	)	PUNCT
ejpam-5464	262	14	=	=	PUNCT
ejpam-5464	262	15	ℵu(c	ℵu(c	NOUN
ejpam-5464	262	16	)	)	PUNCT
ejpam-5464	262	17	=	=	SYM
ejpam-5464	262	18	ℵu(d	ℵu(d	X
ejpam-5464	262	19	)	)	PUNCT
ejpam-5464	262	20	=	=	SYM
ejpam-5464	262	21	ϕ	ϕ	NOUN
ejpam-5464	262	22	,	,	PUNCT
ejpam-5464	262	23	ℵr(a	ℵr(a	PUNCT
ejpam-5464	262	24	∪	∪	ADP
ejpam-5464	262	25	b	b	NOUN
ejpam-5464	262	26	)	)	PUNCT
ejpam-5464	262	27	=	=	SYM
ejpam-5464	262	28	{	{	PUNCT
ejpam-5464	262	29	γ	γ	X
ejpam-5464	262	30	,	,	PUNCT
ejpam-5464	262	31	η	η	NOUN
ejpam-5464	262	32	}	}	PUNCT
ejpam-5464	262	33	,	,	PUNCT
ejpam-5464	262	34	ℵl(c	ℵl(c	PUNCT
ejpam-5464	262	35	∪	∪	X
ejpam-5464	262	36	d	d	NOUN
ejpam-5464	262	37	)	)	PUNCT
ejpam-5464	262	38	=	=	NOUN
ejpam-5464	262	39	ℵu(c	ℵu(c	PUNCT
ejpam-5464	262	40	∪	∪	X
ejpam-5464	262	41	d	d	NOUN
ejpam-5464	262	42	)	)	PUNCT
ejpam-5464	262	43	=	=	SYM
ejpam-5464	262	44	{	{	PUNCT
ejpam-5464	262	45	ξ	ξ	PROPN
ejpam-5464	262	46	,	,	PUNCT
ejpam-5464	262	47	ζ	ζ	NOUN
ejpam-5464	262	48	}	}	PUNCT
ejpam-5464	262	49	,	,	PUNCT
ejpam-5464	262	50	ℵr(a	ℵr(a	NUM
ejpam-5464	262	51	)	)	PUNCT
ejpam-5464	262	52	=	=	PUNCT
ejpam-5464	262	53	ℵr(b	ℵr(b	ADP
ejpam-5464	262	54	)	)	PUNCT
ejpam-5464	262	55	=	=	NOUN
ejpam-5464	262	56	ℵu(a	ℵu(a	X
ejpam-5464	262	57	)	)	PUNCT
ejpam-5464	262	58	=	=	PUNCT
ejpam-5464	262	59	ℵu(b	ℵu(b	PUNCT
ejpam-5464	262	60	)	)	PUNCT
ejpam-5464	262	61	=	=	SYM
ejpam-5464	262	62	{	{	PUNCT
ejpam-5464	262	63	γ	γ	NOUN
ejpam-5464	262	64	,	,	PUNCT
ejpam-5464	262	65	η},ℵl(c	η},ℵl(c	NOUN
ejpam-5464	262	66	)	)	PUNCT
ejpam-5464	262	67	=	=	PUNCT
ejpam-5464	262	68	ℵl(d	ℵl(d	PUNCT
ejpam-5464	262	69	)	)	PUNCT
ejpam-5464	262	70	=	=	SYM
ejpam-5464	262	71	{	{	PUNCT
ejpam-5464	262	72	ξ	ξ	PROPN
ejpam-5464	262	73	,	,	PUNCT
ejpam-5464	262	74	ζ	ζ	NOUN
ejpam-5464	262	75	}	}	PUNCT
ejpam-5464	262	76	,	,	PUNCT
ejpam-5464	262	77	ℵr(c∩d	ℵr(c∩d	PROPN
ejpam-5464	262	78	)	)	PUNCT
ejpam-5464	262	79	=	=	SYM
ejpam-5464	262	80	ℵl(a∩b	ℵl(a∩b	NOUN
ejpam-5464	262	81	)	)	PUNCT
ejpam-5464	262	82	=	=	SYM
ejpam-5464	262	83	ℵu(a∩b	ℵu(a∩b	NOUN
ejpam-5464	262	84	)	)	PUNCT
ejpam-5464	263	1	=	=	SYM
ejpam-5464	263	2	ϕ.	ϕ.	PROPN
ejpam-5464	263	3	but	but	CCONJ
ejpam-5464	263	4	,	,	PUNCT
ejpam-5464	263	5	ℵr(c∩d	ℵr(c∩d	NOUN
ejpam-5464	263	6	)	)	PUNCT
ejpam-5464	263	7	̸=	̸=	PROPN
ejpam-5464	263	8	ℵr(c)∩ℵr(d	ℵr(c)∩ℵr(d	PROPN
ejpam-5464	263	9	)	)	PUNCT
ejpam-5464	263	10	,	,	PUNCT
ejpam-5464	263	11	ℵl(a	ℵl(a	X
ejpam-5464	263	12	∩	∩	ADJ
ejpam-5464	263	13	b	b	X
ejpam-5464	263	14	)	)	PUNCT
ejpam-5464	263	15	̸=	̸=	PROPN
ejpam-5464	263	16	ℵl(a	ℵl(a	NUM
ejpam-5464	263	17	)	)	PUNCT
ejpam-5464	263	18	∩	∩	NOUN
ejpam-5464	263	19	ℵl(b	ℵl(b	NUM
ejpam-5464	263	20	)	)	PUNCT
ejpam-5464	263	21	,	,	PUNCT
ejpam-5464	263	22	ℵu(c	ℵu(c	PUNCT
ejpam-5464	263	23	∩	∩	PROPN
ejpam-5464	263	24	d	d	X
ejpam-5464	263	25	)	)	PUNCT
ejpam-5464	263	26	̸=	̸=	PROPN
ejpam-5464	263	27	ℵu(c	ℵu(c	NOUN
ejpam-5464	263	28	)	)	PUNCT
ejpam-5464	263	29	∩	∩	NOUN
ejpam-5464	263	30	ℵu(d	ℵu(d	NUM
ejpam-5464	263	31	)	)	PUNCT
ejpam-5464	263	32	,	,	PUNCT
ejpam-5464	263	33	ℵr(a	ℵr(a	NUM
ejpam-5464	263	34	)	)	PUNCT
ejpam-5464	263	35	∪	∪	ADP
ejpam-5464	263	36	ℵr(b	ℵr(b	ADP
ejpam-5464	263	37	)	)	PUNCT
ejpam-5464	263	38	̸=	̸=	PROPN
ejpam-5464	263	39	ℵr(a	ℵr(a	PUNCT
ejpam-5464	263	40	∪	∪	ADP
ejpam-5464	263	41	b	b	NOUN
ejpam-5464	263	42	)	)	PUNCT
ejpam-5464	263	43	,	,	PUNCT
ejpam-5464	263	44	ℵl(c	ℵl(c	PUNCT
ejpam-5464	263	45	)	)	PUNCT
ejpam-5464	263	46	∪	∪	ADP
ejpam-5464	263	47	ℵl(d	ℵl(d	NUM
ejpam-5464	263	48	)	)	PUNCT
ejpam-5464	263	49	̸=	̸=	PROPN
ejpam-5464	263	50	ℵl(c	ℵl(c	PUNCT
ejpam-5464	263	51	∪d	∪d	NUM
ejpam-5464	263	52	)	)	PUNCT
ejpam-5464	263	53	,	,	PUNCT
ejpam-5464	263	54	and	and	CCONJ
ejpam-5464	263	55	ℵu(c	ℵu(c	PUNCT
ejpam-5464	263	56	)	)	PUNCT
ejpam-5464	263	57	∪	∪	ADP
ejpam-5464	263	58	ℵu(d	ℵu(d	PUNCT
ejpam-5464	263	59	)	)	PUNCT
ejpam-5464	263	60	̸=	̸=	PROPN
ejpam-5464	263	61	ℵu(c	ℵu(c	PUNCT
ejpam-5464	263	62	∪d	∪d	NUM
ejpam-5464	263	63	)	)	PUNCT
ejpam-5464	263	64	.	.	PUNCT
ejpam-5464	264	1	remark	remark	PROPN
ejpam-5464	264	2	3	3	NUM
ejpam-5464	264	3	.	.	PUNCT
ejpam-5464	264	4	theorem	theorem	ADJ
ejpam-5464	264	5	2	2	NUM
ejpam-5464	264	6	shows	show	VERB
ejpam-5464	264	7	that	that	SCONJ
ejpam-5464	264	8	our	our	PRON
ejpam-5464	264	9	method	method	NOUN
ejpam-5464	264	10	has	have	VERB
ejpam-5464	264	11	the	the	DET
ejpam-5464	264	12	same	same	ADJ
ejpam-5464	264	13	characteristics	characteristic	NOUN
ejpam-5464	264	14	as	as	ADP
ejpam-5464	264	15	pawlak	pawlak	ADJ
ejpam-5464	264	16	’s	’s	PART
ejpam-5464	264	17	method	method	NOUN
ejpam-5464	264	18	.	.	PUNCT
ejpam-5464	265	1	in	in	ADP
ejpam-5464	265	2	our	our	PRON
ejpam-5464	265	3	method	method	NOUN
ejpam-5464	265	4	,	,	PUNCT
ejpam-5464	265	5	ℵ	ℵ	X
ejpam-5464	265	6	is	be	AUX
ejpam-5464	265	7	an	an	DET
ejpam-5464	265	8	arbitrary	arbitrary	ADJ
ejpam-5464	265	9	relation	relation	NOUN
ejpam-5464	265	10	.	.	PUNCT
ejpam-5464	266	1	as	as	ADP
ejpam-5464	266	2	a	a	DET
ejpam-5464	266	3	result	result	NOUN
ejpam-5464	266	4	,	,	PUNCT
ejpam-5464	266	5	we	we	PRON
ejpam-5464	266	6	believe	believe	VERB
ejpam-5464	266	7	that	that	SCONJ
ejpam-5464	266	8	our	our	PRON
ejpam-5464	266	9	method	method	NOUN
ejpam-5464	266	10	is	be	AUX
ejpam-5464	266	11	a	a	DET
ejpam-5464	266	12	generalization	generalization	NOUN
ejpam-5464	266	13	for	for	ADP
ejpam-5464	266	14	rst	rst	PROPN
ejpam-5464	267	1	.	.	PUNCT
ejpam-5464	267	2	table	table	NOUN
ejpam-5464	267	3	1	1	NUM
ejpam-5464	267	4	shows	show	VERB
ejpam-5464	267	5	a	a	DET
ejpam-5464	267	6	comparison	comparison	NOUN
ejpam-5464	267	7	between	between	ADP
ejpam-5464	267	8	our	our	PRON
ejpam-5464	267	9	method	method	NOUN
ejpam-5464	267	10	and	and	CCONJ
ejpam-5464	267	11	others	other	NOUN
ejpam-5464	267	12	.	.	PUNCT
ejpam-5464	268	1	pawlak	pawlak	PROPN
ejpam-5464	268	2	’s	’s	PART
ejpam-5464	268	3	properties	property	NOUN
ejpam-5464	268	4	yao	yao	PROPN
ejpam-5464	268	5	’s	’s	PART
ejpam-5464	268	6	[	[	X
ejpam-5464	268	7	40	40	NUM
ejpam-5464	268	8	]	]	PUNCT
ejpam-5464	268	9	yun	yun	PROPN
ejpam-5464	268	10	et	et	PROPN
ejpam-5464	268	11	al	al	PROPN
ejpam-5464	269	1	[	[	X
ejpam-5464	269	2	44	44	NUM
ejpam-5464	269	3	]	]	X
ejpam-5464	269	4	shbair	shbair	NOUN
ejpam-5464	269	5	et	et	NOUN
ejpam-5464	269	6	al	al	PROPN
ejpam-5464	270	1	[	[	X
ejpam-5464	270	2	35	35	NUM
ejpam-5464	270	3	]	]	X
ejpam-5464	270	4	our	our	PRON
ejpam-5464	270	5	method	method	NOUN
ejpam-5464	270	6	(	(	PUNCT
ejpam-5464	270	7	l1	l1	PROPN
ejpam-5464	270	8	)	)	PUNCT
ejpam-5464	270	9	√	√	NOUN
ejpam-5464	270	10	√	√	NUM
ejpam-5464	270	11	√	√	PROPN
ejpam-5464	270	12	(	(	PUNCT
ejpam-5464	270	13	l2	l2	NOUN
ejpam-5464	270	14	)	)	PUNCT
ejpam-5464	270	15	√	√	NOUN
ejpam-5464	270	16	√	√	PROPN
ejpam-5464	270	17	(	(	PUNCT
ejpam-5464	270	18	l3	l3	PROPN
ejpam-5464	270	19	)	)	PUNCT
ejpam-5464	270	20	√	√	NOUN
ejpam-5464	270	21	√	√	PROPN
ejpam-5464	270	22	(	(	PUNCT
ejpam-5464	270	23	l4	l4	PROPN
ejpam-5464	270	24	)	)	PUNCT
ejpam-5464	270	25	√	√	NOUN
ejpam-5464	270	26	√	√	NUM
ejpam-5464	270	27	√	√	PROPN
ejpam-5464	270	28	(	(	PUNCT
ejpam-5464	270	29	l5	l5	PROPN
ejpam-5464	270	30	)	)	PUNCT
ejpam-5464	270	31	√	√	NOUN
ejpam-5464	270	32	√	√	NUM
ejpam-5464	270	33	√	√	PROPN
ejpam-5464	270	34	(	(	PUNCT
ejpam-5464	270	35	l6	l6	PROPN
ejpam-5464	270	36	)	)	PUNCT
ejpam-5464	270	37	√	√	NOUN
ejpam-5464	270	38	√	√	PROPN
ejpam-5464	270	39	(	(	PUNCT
ejpam-5464	270	40	l7	l7	PROPN
ejpam-5464	270	41	)	)	PUNCT
ejpam-5464	270	42	√	√	NOUN
ejpam-5464	270	43	√	√	NUM
ejpam-5464	270	44	√	√	NUM
ejpam-5464	270	45	√	√	PROPN
ejpam-5464	270	46	(	(	PUNCT
ejpam-5464	270	47	l8	l8	PROPN
ejpam-5464	270	48	)	)	PUNCT
ejpam-5464	270	49	√	√	PROPN
ejpam-5464	270	50	(	(	PUNCT
ejpam-5464	270	51	l9	l9	PROPN
ejpam-5464	270	52	)	)	PUNCT
ejpam-5464	270	53	√	√	NOUN
ejpam-5464	270	54	√	√	NUM
ejpam-5464	270	55	√	√	NUM
ejpam-5464	270	56	√	√	PROPN
ejpam-5464	270	57	(	(	PUNCT
ejpam-5464	270	58	l1	l1	PROPN
ejpam-5464	270	59	*	*	PUNCT
ejpam-5464	270	60	)	)	PUNCT
ejpam-5464	270	61	√	√	ADV
ejpam-5464	270	62	√	√	INTJ
ejpam-5464	270	63	√	√	INTJ
ejpam-5464	270	64	(	(	PUNCT
ejpam-5464	270	65	l2	l2	NOUN
ejpam-5464	270	66	*	*	PUNCT
ejpam-5464	270	67	)	)	PUNCT
ejpam-5464	270	68	√	√	ADV
ejpam-5464	270	69	√	√	INTJ
ejpam-5464	270	70	(	(	PUNCT
ejpam-5464	270	71	l3	l3	NOUN
ejpam-5464	270	72	*	*	NOUN
ejpam-5464	270	73	)	)	PUNCT
ejpam-5464	270	74	√	√	ADV
ejpam-5464	270	75	√	√	INTJ
ejpam-5464	270	76	√	√	PROPN
ejpam-5464	270	77	(	(	PUNCT
ejpam-5464	270	78	l4	l4	PROPN
ejpam-5464	270	79	*	*	PUNCT
ejpam-5464	270	80	)	)	PUNCT
ejpam-5464	270	81	√	√	ADV
ejpam-5464	270	82	√	√	INTJ
ejpam-5464	270	83	√	√	NUM
ejpam-5464	270	84	√	√	PROPN
ejpam-5464	270	85	(	(	PUNCT
ejpam-5464	270	86	l6	l6	PROPN
ejpam-5464	270	87	*	*	X
ejpam-5464	270	88	)	)	PUNCT
ejpam-5464	270	89	√	√	PROPN
ejpam-5464	270	90	(	(	PUNCT
ejpam-5464	270	91	l7	l7	PROPN
ejpam-5464	270	92	*	*	PROPN
ejpam-5464	270	93	)	)	PUNCT
ejpam-5464	270	94	√	√	ADV
ejpam-5464	270	95	√	√	INTJ
ejpam-5464	270	96	√	√	NUM
ejpam-5464	270	97	√	√	PROPN
ejpam-5464	270	98	(	(	PUNCT
ejpam-5464	270	99	l8	l8	PROPN
ejpam-5464	270	100	*	*	PUNCT
ejpam-5464	270	101	)	)	PUNCT
ejpam-5464	270	102	√	√	PROPN
ejpam-5464	270	103	(	(	PUNCT
ejpam-5464	270	104	l9	l9	PROPN
ejpam-5464	270	105	*	*	PROPN
ejpam-5464	270	106	)	)	PUNCT
ejpam-5464	270	107	√	√	ADV
ejpam-5464	270	108	√	√	NUM
ejpam-5464	270	109	√	√	NUM
ejpam-5464	270	110	√	√	NUM
ejpam-5464	270	111	table	table	NOUN
ejpam-5464	270	112	1	1	NUM
ejpam-5464	270	113	:	:	PUNCT
ejpam-5464	270	114	a	a	DET
ejpam-5464	270	115	comparison	comparison	NOUN
ejpam-5464	270	116	between	between	ADP
ejpam-5464	270	117	different	different	ADJ
ejpam-5464	270	118	methods	method	NOUN
ejpam-5464	270	119	of	of	ADP
ejpam-5464	270	120	rough	rough	ADJ
ejpam-5464	270	121	set	set	NOUN
ejpam-5464	270	122	with	with	ADP
ejpam-5464	270	123	our	our	PRON
ejpam-5464	270	124	method	method	NOUN
ejpam-5464	270	125	.	.	PUNCT
ejpam-5464	271	1	i.	i.	PROPN
ejpam-5464	271	2	shbair	shbair	PROPN
ejpam-5464	271	3	et	et	PROPN
ejpam-5464	271	4	al	al	PROPN
ejpam-5464	271	5	.	.	PUNCT
ejpam-5464	271	6	/	/	SYM
ejpam-5464	271	7	eur	eur	PROPN
ejpam-5464	271	8	.	.	PUNCT
ejpam-5464	272	1	j.	j.	PROPN
ejpam-5464	272	2	pure	pure	PROPN
ejpam-5464	272	3	appl	appl	PROPN
ejpam-5464	272	4	.	.	PROPN
ejpam-5464	272	5	math	math	PROPN
ejpam-5464	272	6	,	,	PUNCT
ejpam-5464	272	7	17	17	NUM
ejpam-5464	272	8	(	(	PUNCT
ejpam-5464	272	9	4	4	NUM
ejpam-5464	272	10	)	)	PUNCT
ejpam-5464	272	11	(	(	PUNCT
ejpam-5464	272	12	2024	2024	NUM
ejpam-5464	272	13	)	)	PUNCT
ejpam-5464	272	14	,	,	PUNCT
ejpam-5464	272	15	3567	3567	NUM
ejpam-5464	272	16	-	-	SYM
ejpam-5464	272	17	3584	3584	NUM
ejpam-5464	272	18	3575	3575	NUM
ejpam-5464	272	19	4	4	NUM
ejpam-5464	272	20	.	.	PUNCT
ejpam-5464	272	21	relationship	relationship	NOUN
ejpam-5464	272	22	between	between	ADP
ejpam-5464	272	23	several	several	ADJ
ejpam-5464	272	24	types	type	NOUN
ejpam-5464	272	25	of	of	ADP
ejpam-5464	272	26	cmj−approximations	cmj−approximation	NOUN
ejpam-5464	272	27	operators	operator	NOUN
ejpam-5464	272	28	this	this	DET
ejpam-5464	272	29	section	section	NOUN
ejpam-5464	272	30	aims	aim	VERB
ejpam-5464	272	31	to	to	PART
ejpam-5464	272	32	compare	compare	VERB
ejpam-5464	272	33	several	several	ADJ
ejpam-5464	272	34	types	type	NOUN
ejpam-5464	272	35	of	of	ADP
ejpam-5464	272	36	cmj−approximations	cmj−approximation	NOUN
ejpam-5464	272	37	.	.	PUNCT
ejpam-5464	273	1	also	also	ADV
ejpam-5464	273	2	,	,	PUNCT
ejpam-5464	273	3	the	the	DET
ejpam-5464	273	4	boundary	boundary	NOUN
ejpam-5464	273	5	and	and	CCONJ
ejpam-5464	273	6	accuracy	accuracy	NOUN
ejpam-5464	273	7	of	of	ADP
ejpam-5464	273	8	cmj−approximations	cmj−approximation	NOUN
ejpam-5464	273	9	are	be	AUX
ejpam-5464	273	10	discussed	discuss	VERB
ejpam-5464	273	11	.	.	PUNCT
ejpam-5464	274	1	in	in	ADP
ejpam-5464	274	2	table	table	NOUN
ejpam-5464	274	3	2	2	NUM
ejpam-5464	274	4	,	,	PUNCT
ejpam-5464	274	5	3	3	NUM
ejpam-5464	274	6	by	by	ADP
ejpam-5464	274	7	using	use	VERB
ejpam-5464	274	8	example	example	NOUN
ejpam-5464	274	9	6	6	NUM
ejpam-5464	274	10	,	,	PUNCT
ejpam-5464	274	11	we	we	PRON
ejpam-5464	274	12	compare	compare	VERB
ejpam-5464	274	13	different	different	ADJ
ejpam-5464	274	14	types	type	NOUN
ejpam-5464	274	15	of	of	ADP
ejpam-5464	274	16	cmj−approximations	cmj−approximation	NOUN
ejpam-5464	274	17	,	,	PUNCT
ejpam-5464	274	18	cmj−boundary	cmj−boundary	NOUN
ejpam-5464	274	19	,	,	PUNCT
ejpam-5464	274	20	and	and	CCONJ
ejpam-5464	274	21	cmj−accuracy	cmj−accuracy	PROPN
ejpam-5464	274	22	.	.	PROPN
ejpam-5464	274	23	b	b	NOUN
ejpam-5464	274	24	ℵr(b	ℵr(b	ADP
ejpam-5464	274	25	)	)	PUNCT
ejpam-5464	274	26	ℵr(b	ℵr(b	ADP
ejpam-5464	274	27	)	)	PUNCT
ejpam-5464	274	28	br(b	br(b	NUM
ejpam-5464	274	29	)	)	PUNCT
ejpam-5464	274	30	κr(b	κr(b	NOUN
ejpam-5464	274	31	)	)	PUNCT
ejpam-5464	274	32	ℵl(b	ℵl(b	NUM
ejpam-5464	274	33	)	)	PUNCT
ejpam-5464	274	34	ℵl(b	ℵl(b	NUM
ejpam-5464	274	35	)	)	PUNCT
ejpam-5464	274	36	bl(b	bl(b	X
ejpam-5464	274	37	)	)	PUNCT
ejpam-5464	274	38	κl(b	κl(b	PUNCT
ejpam-5464	274	39	)	)	PUNCT
ejpam-5464	274	40	{	{	PUNCT
ejpam-5464	274	41	ξ	ξ	X
ejpam-5464	274	42	}	}	PUNCT
ejpam-5464	274	43	{	{	PUNCT
ejpam-5464	274	44	ξ	ξ	NOUN
ejpam-5464	274	45	}	}	PUNCT
ejpam-5464	274	46	{	{	PUNCT
ejpam-5464	274	47	ξ	ξ	NOUN
ejpam-5464	274	48	}	}	PUNCT
ejpam-5464	274	49	ϕ	ϕ	PROPN
ejpam-5464	274	50	1	1	NUM
ejpam-5464	274	51	ϕ	ϕ	X
ejpam-5464	274	52	{	{	PUNCT
ejpam-5464	274	53	ξ	ξ	PROPN
ejpam-5464	274	54	,	,	PUNCT
ejpam-5464	274	55	ζ	ζ	NOUN
ejpam-5464	274	56	}	}	PUNCT
ejpam-5464	274	57	{	{	PUNCT
ejpam-5464	274	58	ξ	ξ	PROPN
ejpam-5464	274	59	,	,	PUNCT
ejpam-5464	274	60	ζ	ζ	NOUN
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ejpam-5464	274	479	x	x	PUNCT
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ejpam-5464	274	483	x	x	SYM
ejpam-5464	274	484	x	x	X
ejpam-5464	274	485	ϕ	ϕ	PROPN
ejpam-5464	274	486	1	1	NUM
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ejpam-5464	274	488	2	2	NUM
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ejpam-5464	274	494	types	type	NOUN
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ejpam-5464	276	3	appl	appl	PROPN
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ejpam-5464	276	10	)	)	PUNCT
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ejpam-5464	276	13	)	)	PUNCT
ejpam-5464	276	14	,	,	PUNCT
ejpam-5464	276	15	3567	3567	NUM
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ejpam-5464	276	17	3584	3584	NUM
ejpam-5464	276	18	3576	3576	NUM
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ejpam-5464	276	21	)	)	PUNCT
ejpam-5464	276	22	ℵu(b	ℵu(b	NUM
ejpam-5464	276	23	)	)	PUNCT
ejpam-5464	276	24	bu(b	bu(b	NUM
ejpam-5464	276	25	)	)	PUNCT
ejpam-5464	276	26	κu(b	κu(b	NUM
ejpam-5464	276	27	)	)	PUNCT
ejpam-5464	276	28	ℵi(b	ℵi(b	PUNCT
ejpam-5464	276	29	)	)	PUNCT
ejpam-5464	276	30	ℵi(b	ℵi(b	PUNCT
ejpam-5464	276	31	)	)	PUNCT
ejpam-5464	276	32	bi(b	bi(b	NUM
ejpam-5464	276	33	)	)	PUNCT
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ejpam-5464	276	35	)	)	PUNCT
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ejpam-5464	276	304	1	1	NUM
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ejpam-5464	276	332	ξ	ξ	PROPN
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ejpam-5464	276	386	}	}	PUNCT
ejpam-5464	276	387	x	x	SYM
ejpam-5464	276	388	{	{	PUNCT
ejpam-5464	276	389	ξ	ξ	PROPN
ejpam-5464	276	390	,	,	PUNCT
ejpam-5464	276	391	ζ	ζ	NOUN
ejpam-5464	276	392	}	}	PUNCT
ejpam-5464	276	393	1/2	1/2	NUM
ejpam-5464	276	394	{	{	PUNCT
ejpam-5464	276	395	γ	γ	X
ejpam-5464	276	396	,	,	PUNCT
ejpam-5464	276	397	ζ	ζ	NOUN
ejpam-5464	276	398	,	,	PUNCT
ejpam-5464	276	399	η	η	NOUN
ejpam-5464	276	400	}	}	PUNCT
ejpam-5464	276	401	{	{	PUNCT
ejpam-5464	276	402	γ	γ	X
ejpam-5464	276	403	,	,	PUNCT
ejpam-5464	276	404	ζ	ζ	NOUN
ejpam-5464	276	405	,	,	PUNCT
ejpam-5464	276	406	η	η	NOUN
ejpam-5464	276	407	}	}	PUNCT
ejpam-5464	276	408	ϕ	ϕ	NOUN
ejpam-5464	276	409	1	1	NUM
ejpam-5464	276	410	x	x	SYM
ejpam-5464	276	411	x	x	PUNCT
ejpam-5464	276	412	x	x	SYM
ejpam-5464	276	413	ϕ	ϕ	NOUN
ejpam-5464	276	414	1	1	NUM
ejpam-5464	276	415	x	x	SYM
ejpam-5464	276	416	x	x	X
ejpam-5464	276	417	ϕ	ϕ	PROPN
ejpam-5464	276	418	1	1	NUM
ejpam-5464	276	419	table	table	NOUN
ejpam-5464	276	420	3	3	NUM
ejpam-5464	276	421	:	:	PUNCT
ejpam-5464	276	422	a	a	DET
ejpam-5464	276	423	comparison	comparison	NOUN
ejpam-5464	276	424	between	between	ADP
ejpam-5464	276	425	several	several	ADJ
ejpam-5464	276	426	types	type	NOUN
ejpam-5464	276	427	of	of	ADP
ejpam-5464	276	428	cmj−	cmj−	PROPN
ejpam-5464	276	429	approximations	approximation	NOUN
ejpam-5464	276	430	.	.	PUNCT
ejpam-5464	277	1	theorem	theorem	NOUN
ejpam-5464	277	2	3	3	X
ejpam-5464	277	3	.	.	PUNCT
ejpam-5464	278	1	let	let	VERB
ejpam-5464	278	2	ℵ	ℵ	NOUN
ejpam-5464	278	3	be	be	AUX
ejpam-5464	278	4	a	a	DET
ejpam-5464	278	5	general	general	ADJ
ejpam-5464	278	6	relation	relation	NOUN
ejpam-5464	278	7	and	and	CCONJ
ejpam-5464	278	8	b	b	NOUN
ejpam-5464	278	9	⊆	⊆	NUM
ejpam-5464	278	10	x.	x.	NOUN
ejpam-5464	278	11	then	then	ADV
ejpam-5464	278	12	,	,	PUNCT
ejpam-5464	278	13	i	i	NOUN
ejpam-5464	278	14	)	)	PUNCT
ejpam-5464	278	15	ℵu(b	ℵu(b	PUNCT
ejpam-5464	278	16	)	)	PUNCT
ejpam-5464	278	17	⊆	⊆	NUM
ejpam-5464	278	18	ℵr(b	ℵr(b	ADP
ejpam-5464	278	19	)	)	PUNCT
ejpam-5464	278	20	⊆	⊆	NUM
ejpam-5464	278	21	ℵi(b	ℵi(b	NUM
ejpam-5464	278	22	)	)	PUNCT
ejpam-5464	278	23	⊆	⊆	NUM
ejpam-5464	278	24	b	b	NOUN
ejpam-5464	278	25	⊆	⊆	NUM
ejpam-5464	278	26	ℵi(b	ℵi(b	NUM
ejpam-5464	278	27	)	)	PUNCT
ejpam-5464	278	28	⊆	⊆	NUM
ejpam-5464	278	29	ℵr(b	ℵr(b	ADP
ejpam-5464	278	30	)	)	PUNCT
ejpam-5464	278	31	⊆	⊆	NUM
ejpam-5464	278	32	ℵu(b	ℵu(b	NUM
ejpam-5464	278	33	)	)	PUNCT
ejpam-5464	278	34	.	.	PUNCT
ejpam-5464	279	1	ii	ii	X
ejpam-5464	279	2	)	)	PUNCT
ejpam-5464	279	3	ℵu(b	ℵu(b	PUNCT
ejpam-5464	279	4	)	)	PUNCT
ejpam-5464	280	1	⊆	⊆	NUM
ejpam-5464	280	2	ℵl(b	ℵl(b	NUM
ejpam-5464	280	3	)	)	PUNCT
ejpam-5464	280	4	⊆	⊆	NUM
ejpam-5464	280	5	ℵi(b	ℵi(b	NUM
ejpam-5464	280	6	)	)	PUNCT
ejpam-5464	280	7	⊆	⊆	NUM
ejpam-5464	280	8	b	b	NOUN
ejpam-5464	280	9	⊆	⊆	NUM
ejpam-5464	280	10	ℵi(b	ℵi(b	NUM
ejpam-5464	280	11	)	)	PUNCT
ejpam-5464	280	12	⊆	⊆	NUM
ejpam-5464	280	13	ℵl(b	ℵl(b	NUM
ejpam-5464	280	14	)	)	PUNCT
ejpam-5464	280	15	⊆	⊆	NUM
ejpam-5464	280	16	ℵu(b	ℵu(b	NUM
ejpam-5464	280	17	)	)	PUNCT
ejpam-5464	280	18	.	.	PUNCT
ejpam-5464	281	1	proof	proof	NOUN
ejpam-5464	281	2	.	.	PUNCT
ejpam-5464	282	1	let	let	VERB
ejpam-5464	282	2	ξ	ξ	X
ejpam-5464	282	3	∈	∈	PROPN
ejpam-5464	282	4	ℵu(b	ℵu(b	PUNCT
ejpam-5464	282	5	)	)	PUNCT
ejpam-5464	283	1	=	=	SYM
ejpam-5464	283	2	⋃	⋃	NOUN
ejpam-5464	283	3	{	{	PUNCT
ejpam-5464	283	4	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	283	5	)	)	PUNCT
ejpam-5464	283	6	:	:	PUNCT
ejpam-5464	283	7	cmu(ξ	cmu(ξ	X
ejpam-5464	283	8	)	)	PUNCT
ejpam-5464	283	9	⊆	⊆	NUM
ejpam-5464	283	10	b	b	NOUN
ejpam-5464	283	11	}	}	PUNCT
ejpam-5464	283	12	.	.	PUNCT
ejpam-5464	284	1	but	but	CCONJ
ejpam-5464	284	2	,	,	PUNCT
ejpam-5464	284	3	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	284	4	)	)	PUNCT
ejpam-5464	284	5	=	=	PUNCT
ejpam-5464	285	1	[	[	X
ejpam-5464	285	2	cmr(ξ	cmr(ξ	NOUN
ejpam-5464	285	3	)	)	PUNCT
ejpam-5464	285	4	∪	∪	ADP
ejpam-5464	285	5	cml(ξ	cml(ξ	NOUN
ejpam-5464	285	6	)	)	PUNCT
ejpam-5464	285	7	]	]	PUNCT
ejpam-5464	286	1	⊆	⊆	NUM
ejpam-5464	286	2	b.	b.	NOUN
ejpam-5464	286	3	thus	thus	ADV
ejpam-5464	286	4	,	,	PUNCT
ejpam-5464	286	5	either	either	CCONJ
ejpam-5464	286	6	ξ	ξ	PROPN
ejpam-5464	286	7	∈	∈	PROPN
ejpam-5464	286	8	⋃	⋃	NOUN
ejpam-5464	286	9	{	{	PUNCT
ejpam-5464	286	10	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	286	11	)	)	PUNCT
ejpam-5464	286	12	:	:	PUNCT
ejpam-5464	286	13	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	286	14	)	)	PUNCT
ejpam-5464	286	15	⊆	⊆	NUM
ejpam-5464	286	16	b	b	X
ejpam-5464	286	17	}	}	PUNCT
ejpam-5464	286	18	or	or	CCONJ
ejpam-5464	286	19	ξ	ξ	ADP
ejpam-5464	286	20	∈	∈	PROPN
ejpam-5464	286	21	⋃	⋃	NOUN
ejpam-5464	286	22	{	{	PUNCT
ejpam-5464	286	23	cml(ξ	cml(ξ	PROPN
ejpam-5464	286	24	)	)	PUNCT
ejpam-5464	286	25	:	:	PUNCT
ejpam-5464	286	26	cml(ξ	cml(ξ	X
ejpam-5464	286	27	)	)	PUNCT
ejpam-5464	286	28	⊆	⊆	NUM
ejpam-5464	286	29	b	b	NOUN
ejpam-5464	286	30	}	}	PUNCT
ejpam-5464	286	31	.	.	PUNCT
ejpam-5464	287	1	hence	hence	ADV
ejpam-5464	287	2	,	,	PUNCT
ejpam-5464	287	3	ξ	ξ	PROPN
ejpam-5464	287	4	∈	∈	PROPN
ejpam-5464	287	5	ℵr(b	ℵr(b	ADP
ejpam-5464	287	6	)	)	PUNCT
ejpam-5464	287	7	or	or	CCONJ
ejpam-5464	287	8	ξ	ξ	PRON
ejpam-5464	287	9	∈	∈	PROPN
ejpam-5464	287	10	ℵl(b	ℵl(b	NUM
ejpam-5464	287	11	)	)	PUNCT
ejpam-5464	287	12	.	.	PUNCT
ejpam-5464	288	1	therefore	therefore	ADV
ejpam-5464	288	2	,	,	PUNCT
ejpam-5464	288	3	ℵu(b	ℵu(b	NUM
ejpam-5464	288	4	)	)	PUNCT
ejpam-5464	288	5	⊆	⊆	NUM
ejpam-5464	288	6	ℵr(b	ℵr(b	ADP
ejpam-5464	288	7	)	)	PUNCT
ejpam-5464	288	8	or	or	CCONJ
ejpam-5464	288	9	ℵu(b	ℵu(b	NUM
ejpam-5464	288	10	)	)	PUNCT
ejpam-5464	288	11	⊆	⊆	NUM
ejpam-5464	288	12	ℵl(b	ℵl(b	NUM
ejpam-5464	288	13	)	)	PUNCT
ejpam-5464	288	14	.	.	PUNCT
ejpam-5464	289	1	now	now	ADV
ejpam-5464	289	2	,	,	PUNCT
ejpam-5464	289	3	let	let	VERB
ejpam-5464	289	4	ξ	ξ	X
ejpam-5464	289	5	∈	∈	NOUN
ejpam-5464	289	6	ℵr(b	ℵr(b	ADP
ejpam-5464	289	7	)	)	PUNCT
ejpam-5464	289	8	=	=	SYM
ejpam-5464	289	9	⋃	⋃	NOUN
ejpam-5464	289	10	{	{	PUNCT
ejpam-5464	289	11	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	289	12	)	)	PUNCT
ejpam-5464	289	13	:	:	PUNCT
ejpam-5464	290	1	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	290	2	)	)	PUNCT
ejpam-5464	290	3	⊆	⊆	NUM
ejpam-5464	290	4	b	b	NOUN
ejpam-5464	290	5	}	}	PUNCT
ejpam-5464	290	6	.	.	PUNCT
ejpam-5464	291	1	but	but	CCONJ
ejpam-5464	291	2	,	,	PUNCT
ejpam-5464	291	3	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	291	4	)	)	PUNCT
ejpam-5464	291	5	=	=	PUNCT
ejpam-5464	292	1	[	[	X
ejpam-5464	292	2	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	292	3	)	)	PUNCT
ejpam-5464	292	4	∩	∩	ADJ
ejpam-5464	292	5	cml(ξ	cml(ξ	NOUN
ejpam-5464	292	6	)	)	PUNCT
ejpam-5464	292	7	]	]	PUNCT
ejpam-5464	293	1	⊆	⊆	NUM
ejpam-5464	293	2	b	b	NOUN
ejpam-5464	293	3	,	,	PUNCT
ejpam-5464	293	4	thus	thus	ADV
ejpam-5464	293	5	,	,	PUNCT
ejpam-5464	293	6	ξ	ξ	PROPN
ejpam-5464	293	7	∈	∈	PROPN
ejpam-5464	293	8	⋃	⋃	NOUN
ejpam-5464	293	9	{	{	PUNCT
ejpam-5464	293	10	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	293	11	)	)	PUNCT
ejpam-5464	293	12	:	:	PUNCT
ejpam-5464	293	13	cmi(ξ	cmi(ξ	X
ejpam-5464	293	14	)	)	PUNCT
ejpam-5464	293	15	⊆	⊆	NUM
ejpam-5464	293	16	b	b	NOUN
ejpam-5464	293	17	}	}	PUNCT
ejpam-5464	293	18	.	.	PUNCT
ejpam-5464	294	1	hence	hence	ADV
ejpam-5464	294	2	,	,	PUNCT
ejpam-5464	294	3	ξ	ξ	PROPN
ejpam-5464	294	4	∈	∈	PROPN
ejpam-5464	294	5	ℵi(b	ℵi(b	PUNCT
ejpam-5464	294	6	)	)	PUNCT
ejpam-5464	294	7	.	.	PUNCT
ejpam-5464	295	1	therefore	therefore	ADV
ejpam-5464	295	2	,	,	PUNCT
ejpam-5464	295	3	ℵr(b	ℵr(b	ADP
ejpam-5464	295	4	)	)	PUNCT
ejpam-5464	295	5	⊆	⊆	NUM
ejpam-5464	295	6	ℵi(b	ℵi(b	NUM
ejpam-5464	295	7	)	)	PUNCT
ejpam-5464	295	8	.	.	PUNCT
ejpam-5464	296	1	similarly	similarly	ADV
ejpam-5464	296	2	,	,	PUNCT
ejpam-5464	296	3	ℵl(b	ℵl(b	NUM
ejpam-5464	296	4	)	)	PUNCT
ejpam-5464	296	5	⊆	⊆	NUM
ejpam-5464	296	6	ℵi(b	ℵi(b	NUM
ejpam-5464	296	7	)	)	PUNCT
ejpam-5464	296	8	.	.	PUNCT
ejpam-5464	297	1	by	by	ADP
ejpam-5464	297	2	theorem	theorem	NOUN
ejpam-5464	297	3	2	2	NUM
ejpam-5464	297	4	,	,	PUNCT
ejpam-5464	297	5	we	we	PRON
ejpam-5464	297	6	have	have	VERB
ejpam-5464	297	7	ℵi(b	ℵi(b	PUNCT
ejpam-5464	297	8	)	)	PUNCT
ejpam-5464	298	1	⊆	⊆	NUM
ejpam-5464	298	2	b	b	NOUN
ejpam-5464	298	3	⊆	⊆	NUM
ejpam-5464	298	4	ℵi(b	ℵi(b	NUM
ejpam-5464	298	5	)	)	PUNCT
ejpam-5464	298	6	.	.	PUNCT
ejpam-5464	299	1	now	now	ADV
ejpam-5464	299	2	,	,	PUNCT
ejpam-5464	299	3	let	let	VERB
ejpam-5464	299	4	ξ	ξ	PROPN
ejpam-5464	299	5	∈	∈	PROPN
ejpam-5464	299	6	ℵi(b	ℵi(b	PUNCT
ejpam-5464	299	7	)	)	PUNCT
ejpam-5464	300	1	=	=	SYM
ejpam-5464	300	2	⋃	⋃	NOUN
ejpam-5464	300	3	{	{	PUNCT
ejpam-5464	300	4	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	300	5	)	)	PUNCT
ejpam-5464	300	6	:	:	PUNCT
ejpam-5464	300	7	cmi(ξ	cmi(ξ	X
ejpam-5464	300	8	)	)	PUNCT
ejpam-5464	300	9	∩b	∩b	NOUN
ejpam-5464	300	10	̸=	̸=	PROPN
ejpam-5464	300	11	ϕ	ϕ	NOUN
ejpam-5464	300	12	}	}	PUNCT
ejpam-5464	300	13	.	.	PUNCT
ejpam-5464	301	1	but	but	CCONJ
ejpam-5464	301	2	,	,	PUNCT
ejpam-5464	301	3	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	301	4	)	)	PUNCT
ejpam-5464	301	5	=	=	SYM
ejpam-5464	301	6	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	301	7	)	)	PUNCT
ejpam-5464	301	8	∩	∩	ADJ
ejpam-5464	301	9	cml(ξ	cml(ξ	NOUN
ejpam-5464	301	10	)	)	PUNCT
ejpam-5464	301	11	.	.	PUNCT
ejpam-5464	302	1	hence	hence	ADV
ejpam-5464	302	2	,	,	PUNCT
ejpam-5464	302	3	ξ	ξ	PROPN
ejpam-5464	302	4	∈	∈	PROPN
ejpam-5464	302	5	⋃	⋃	NOUN
ejpam-5464	302	6	{	{	PUNCT
ejpam-5464	302	7	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	302	8	)	)	PUNCT
ejpam-5464	302	9	:	:	PUNCT
ejpam-5464	302	10	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	302	11	)	)	PUNCT
ejpam-5464	302	12	∩	∩	NOUN
ejpam-5464	302	13	b	b	X
ejpam-5464	302	14	̸=	̸=	PROPN
ejpam-5464	302	15	ϕ	ϕ	NOUN
ejpam-5464	302	16	}	}	PUNCT
ejpam-5464	302	17	and	and	CCONJ
ejpam-5464	302	18	ξ	ξ	ADP
ejpam-5464	302	19	∈	∈	PROPN
ejpam-5464	302	20	⋃	⋃	NOUN
ejpam-5464	302	21	{	{	PUNCT
ejpam-5464	302	22	cml(ξ	cml(ξ	PROPN
ejpam-5464	302	23	)	)	PUNCT
ejpam-5464	302	24	:	:	PUNCT
ejpam-5464	303	1	cml(ξ	cml(ξ	NOUN
ejpam-5464	303	2	)	)	PUNCT
ejpam-5464	303	3	∩	∩	NOUN
ejpam-5464	303	4	b	b	X
ejpam-5464	303	5	̸=	̸=	PROPN
ejpam-5464	303	6	ϕ	ϕ	PROPN
ejpam-5464	303	7	}	}	PUNCT
ejpam-5464	303	8	.	.	PUNCT
ejpam-5464	304	1	therefore	therefore	ADV
ejpam-5464	304	2	,	,	PUNCT
ejpam-5464	304	3	ℵi(b	ℵi(b	PUNCT
ejpam-5464	304	4	)	)	PUNCT
ejpam-5464	304	5	⊆	⊆	NUM
ejpam-5464	304	6	ℵr(b	ℵr(b	ADP
ejpam-5464	304	7	)	)	PUNCT
ejpam-5464	304	8	and	and	CCONJ
ejpam-5464	304	9	ℵi(b	ℵi(b	NUM
ejpam-5464	304	10	)	)	PUNCT
ejpam-5464	304	11	⊆	⊆	NUM
ejpam-5464	304	12	ℵl(b	ℵl(b	NUM
ejpam-5464	304	13	)	)	PUNCT
ejpam-5464	304	14	.	.	PUNCT
ejpam-5464	305	1	now	now	ADV
ejpam-5464	305	2	,	,	PUNCT
ejpam-5464	305	3	let	let	VERB
ejpam-5464	305	4	ξ	ξ	X
ejpam-5464	305	5	∈	∈	NOUN
ejpam-5464	305	6	ℵr(b	ℵr(b	ADP
ejpam-5464	305	7	)	)	PUNCT
ejpam-5464	305	8	=	=	SYM
ejpam-5464	305	9	⋃	⋃	NOUN
ejpam-5464	305	10	{	{	PUNCT
ejpam-5464	305	11	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	305	12	)	)	PUNCT
ejpam-5464	305	13	:	:	PUNCT
ejpam-5464	305	14	cmr(ξ)∩b	cmr(ξ)∩b	PROPN
ejpam-5464	305	15	̸=	̸=	PROPN
ejpam-5464	305	16	ϕ	ϕ	PROPN
ejpam-5464	305	17	}	}	PUNCT
ejpam-5464	305	18	.	.	PUNCT
ejpam-5464	306	1	but	but	CCONJ
ejpam-5464	306	2	,	,	PUNCT
ejpam-5464	306	3	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	306	4	)	)	PUNCT
ejpam-5464	306	5	=	=	SYM
ejpam-5464	306	6	cmr(ξ)∪cml(ξ	cmr(ξ)∪cml(ξ	PROPN
ejpam-5464	306	7	)	)	PUNCT
ejpam-5464	306	8	.	.	PUNCT
ejpam-5464	307	1	hence	hence	ADV
ejpam-5464	307	2	,	,	PUNCT
ejpam-5464	307	3	ξ	ξ	PROPN
ejpam-5464	307	4	∈	∈	PROPN
ejpam-5464	307	5	⋃	⋃	NOUN
ejpam-5464	307	6	{	{	PUNCT
ejpam-5464	307	7	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	307	8	)	)	PUNCT
ejpam-5464	307	9	:	:	PUNCT
ejpam-5464	307	10	cmu(ξ)∩b	cmu(ξ)∩b	PROPN
ejpam-5464	307	11	̸=	̸=	PROPN
ejpam-5464	307	12	ϕ	ϕ	PROPN
ejpam-5464	307	13	}	}	PUNCT
ejpam-5464	307	14	.	.	PUNCT
ejpam-5464	308	1	therefore	therefore	ADV
ejpam-5464	308	2	,	,	PUNCT
ejpam-5464	308	3	ℵr(b	ℵr(b	ADP
ejpam-5464	308	4	)	)	PUNCT
ejpam-5464	308	5	⊆	⊆	NUM
ejpam-5464	308	6	ℵu(b	ℵu(b	NUM
ejpam-5464	308	7	)	)	PUNCT
ejpam-5464	308	8	.	.	PUNCT
ejpam-5464	309	1	similarly	similarly	ADV
ejpam-5464	309	2	,	,	PUNCT
ejpam-5464	309	3	ℵl(b	ℵl(b	NUM
ejpam-5464	309	4	)	)	PUNCT
ejpam-5464	309	5	⊆	⊆	NUM
ejpam-5464	309	6	ℵu(b	ℵu(b	NUM
ejpam-5464	309	7	)	)	PUNCT
ejpam-5464	309	8	.	.	PUNCT
ejpam-5464	310	1	the	the	DET
ejpam-5464	310	2	equality	equality	NOUN
ejpam-5464	310	3	of	of	ADP
ejpam-5464	310	4	parts	part	NOUN
ejpam-5464	310	5	(	(	PUNCT
ejpam-5464	310	6	i	i	NOUN
ejpam-5464	310	7	)	)	PUNCT
ejpam-5464	310	8	and	and	CCONJ
ejpam-5464	310	9	(	(	PUNCT
ejpam-5464	310	10	ii	ii	NOUN
ejpam-5464	310	11	)	)	PUNCT
ejpam-5464	310	12	in	in	ADP
ejpam-5464	310	13	theorem	theorem	NOUN
ejpam-5464	310	14	3	3	NUM
ejpam-5464	310	15	is	be	AUX
ejpam-5464	310	16	not	not	PART
ejpam-5464	310	17	true	true	ADJ
ejpam-5464	310	18	,	,	PUNCT
ejpam-5464	310	19	in	in	ADP
ejpam-5464	310	20	general	general	ADJ
ejpam-5464	310	21	.	.	PUNCT
ejpam-5464	310	22	example	example	NOUN
ejpam-5464	311	1	7	7	NUM
ejpam-5464	311	2	.	.	X
ejpam-5464	312	1	in	in	ADP
ejpam-5464	312	2	example	example	NOUN
ejpam-5464	312	3	6	6	NUM
ejpam-5464	312	4	by	by	ADP
ejpam-5464	312	5	using	use	VERB
ejpam-5464	312	6	table	table	NOUN
ejpam-5464	312	7	2	2	NUM
ejpam-5464	312	8	,	,	PUNCT
ejpam-5464	312	9	3	3	NUM
ejpam-5464	312	10	,	,	PUNCT
ejpam-5464	312	11	ℵu({ξ	ℵu({ξ	NOUN
ejpam-5464	312	12	,	,	PUNCT
ejpam-5464	312	13	η	η	NOUN
ejpam-5464	312	14	}	}	PUNCT
ejpam-5464	312	15	)	)	PUNCT
ejpam-5464	312	16	̸=	̸=	PROPN
ejpam-5464	312	17	ℵr({ξ	ℵr({ξ	NOUN
ejpam-5464	312	18	,	,	PUNCT
ejpam-5464	312	19	η	η	NOUN
ejpam-5464	312	20	}	}	PUNCT
ejpam-5464	312	21	)	)	PUNCT
ejpam-5464	312	22	̸=	̸=	PROPN
ejpam-5464	312	23	ℵl({ξ	ℵl({ξ	NOUN
ejpam-5464	312	24	,	,	PUNCT
ejpam-5464	312	25	η	η	NOUN
ejpam-5464	312	26	}	}	PUNCT
ejpam-5464	312	27	)	)	PUNCT
ejpam-5464	312	28	̸=	̸=	PROPN
ejpam-5464	312	29	ℵi({ξ	ℵi({ξ	NUM
ejpam-5464	312	30	,	,	PUNCT
ejpam-5464	312	31	η	η	NOUN
ejpam-5464	312	32	}	}	PUNCT
ejpam-5464	312	33	)	)	PUNCT
ejpam-5464	312	34	and	and	CCONJ
ejpam-5464	312	35	ℵi({ξ	ℵi({ξ	NUM
ejpam-5464	312	36	,	,	PUNCT
ejpam-5464	312	37	γ	γ	NOUN
ejpam-5464	312	38	}	}	PUNCT
ejpam-5464	312	39	)	)	PUNCT
ejpam-5464	312	40	̸=	̸=	PROPN
ejpam-5464	312	41	ℵr({ξ	ℵr({ξ	NOUN
ejpam-5464	312	42	,	,	PUNCT
ejpam-5464	312	43	γ	γ	NOUN
ejpam-5464	312	44	}	}	PUNCT
ejpam-5464	312	45	)	)	PUNCT
ejpam-5464	312	46	̸=	̸=	PROPN
ejpam-5464	312	47	ℵl({ξ	ℵl({ξ	NOUN
ejpam-5464	312	48	,	,	PUNCT
ejpam-5464	312	49	γ	γ	NOUN
ejpam-5464	312	50	}	}	PUNCT
ejpam-5464	312	51	)	)	PUNCT
ejpam-5464	312	52	̸=	̸=	PROPN
ejpam-5464	312	53	ℵu({ξ	ℵu({ξ	NOUN
ejpam-5464	312	54	,	,	PUNCT
ejpam-5464	312	55	γ	γ	NOUN
ejpam-5464	312	56	}	}	PUNCT
ejpam-5464	312	57	)	)	PUNCT
ejpam-5464	312	58	.	.	PUNCT
ejpam-5464	313	1	remark	remark	PROPN
ejpam-5464	313	2	4	4	NUM
ejpam-5464	313	3	.	.	PUNCT
ejpam-5464	314	1	in	in	ADP
ejpam-5464	314	2	figure	figure	NOUN
ejpam-5464	314	3	1	1	NUM
ejpam-5464	314	4	,	,	PUNCT
ejpam-5464	314	5	we	we	PRON
ejpam-5464	314	6	compare	compare	VERB
ejpam-5464	314	7	between	between	ADP
ejpam-5464	314	8	several	several	ADJ
ejpam-5464	314	9	types	type	NOUN
ejpam-5464	314	10	of	of	ADP
ejpam-5464	314	11	cmj−	cmj−	PROPN
ejpam-5464	314	12	approximations	approximation	VERB
ejpam-5464	314	13	operators	operator	NOUN
ejpam-5464	314	14	with	with	ADP
ejpam-5464	314	15	general	general	ADJ
ejpam-5464	314	16	relation	relation	NOUN
ejpam-5464	314	17	ℵ	ℵ	NOUN
ejpam-5464	314	18	and	and	CCONJ
ejpam-5464	314	19	b	b	NOUN
ejpam-5464	314	20	⊆	⊆	NUM
ejpam-5464	314	21	x.	x.	NOUN
ejpam-5464	314	22	i.	i.	PROPN
ejpam-5464	314	23	shbair	shbair	PROPN
ejpam-5464	314	24	et	et	PROPN
ejpam-5464	314	25	al	al	PROPN
ejpam-5464	314	26	.	.	PUNCT
ejpam-5464	314	27	/	/	SYM
ejpam-5464	314	28	eur	eur	PROPN
ejpam-5464	314	29	.	.	PUNCT
ejpam-5464	315	1	j.	j.	PROPN
ejpam-5464	315	2	pure	pure	PROPN
ejpam-5464	315	3	appl	appl	PROPN
ejpam-5464	315	4	.	.	PROPN
ejpam-5464	315	5	math	math	PROPN
ejpam-5464	315	6	,	,	PUNCT
ejpam-5464	315	7	17	17	NUM
ejpam-5464	315	8	(	(	PUNCT
ejpam-5464	315	9	4	4	NUM
ejpam-5464	315	10	)	)	PUNCT
ejpam-5464	315	11	(	(	PUNCT
ejpam-5464	315	12	2024	2024	NUM
ejpam-5464	315	13	)	)	PUNCT
ejpam-5464	315	14	,	,	PUNCT
ejpam-5464	315	15	3567	3567	NUM
ejpam-5464	315	16	-	-	SYM
ejpam-5464	315	17	3584	3584	NUM
ejpam-5464	315	18	3577	3577	NUM
ejpam-5464	315	19	ℵr(b	ℵr(b	ADP
ejpam-5464	315	20	)	)	PUNCT
ejpam-5464	315	21	ℵr(b	ℵr(b	ADP
ejpam-5464	315	22	)	)	PUNCT
ejpam-5464	315	23	↗	↗	PROPN
ejpam-5464	315	24	↘	↘	PROPN
ejpam-5464	315	25	↗	↗	PROPN
ejpam-5464	315	26	↘	↘	PROPN
ejpam-5464	315	27	ℵu(b	ℵu(b	PUNCT
ejpam-5464	315	28	)	)	PUNCT
ejpam-5464	315	29	ℵi(b	ℵi(b	PUNCT
ejpam-5464	315	30	)	)	PUNCT
ejpam-5464	316	1	−→	−→	NOUN
ejpam-5464	316	2	b	b	NOUN
ejpam-5464	316	3	−→	−→	NOUN
ejpam-5464	316	4	ℵi(b	ℵi(b	PUNCT
ejpam-5464	316	5	)	)	PUNCT
ejpam-5464	316	6	ℵu(b	ℵu(b	PUNCT
ejpam-5464	316	7	)	)	PUNCT
ejpam-5464	316	8	↘	↘	PROPN
ejpam-5464	316	9	↗	↗	PROPN
ejpam-5464	316	10	↘	↘	PROPN
ejpam-5464	316	11	↗	↗	PROPN
ejpam-5464	316	12	ℵl(b	ℵl(b	NUM
ejpam-5464	316	13	)	)	PUNCT
ejpam-5464	316	14	ℵl(b	ℵl(b	X
ejpam-5464	316	15	)	)	PUNCT
ejpam-5464	316	16	figure	figure	NOUN
ejpam-5464	316	17	1	1	NUM
ejpam-5464	316	18	:	:	PUNCT
ejpam-5464	316	19	relationship	relationship	NOUN
ejpam-5464	316	20	between	between	ADP
ejpam-5464	316	21	cmj−approximations	cmj−approximation	NOUN
ejpam-5464	316	22	operators	operator	NOUN
ejpam-5464	316	23	.	.	PUNCT
ejpam-5464	317	1	theorem	theorem	ADJ
ejpam-5464	317	2	4	4	NUM
ejpam-5464	317	3	.	.	PUNCT
ejpam-5464	318	1	let	let	VERB
ejpam-5464	318	2	ℵ	ℵ	NOUN
ejpam-5464	318	3	be	be	AUX
ejpam-5464	318	4	a	a	DET
ejpam-5464	318	5	general	general	ADJ
ejpam-5464	318	6	relation	relation	NOUN
ejpam-5464	318	7	and	and	CCONJ
ejpam-5464	318	8	b	b	NOUN
ejpam-5464	318	9	⊆	⊆	NUM
ejpam-5464	318	10	x.	x.	NOUN
ejpam-5464	318	11	then	then	ADV
ejpam-5464	318	12	,	,	PUNCT
ejpam-5464	318	13	i	i	NOUN
ejpam-5464	318	14	)	)	PUNCT
ejpam-5464	318	15	bi(b	bi(b	NUM
ejpam-5464	318	16	)	)	PUNCT
ejpam-5464	319	1	⊆	⊆	NUM
ejpam-5464	319	2	br(b	br(b	NOUN
ejpam-5464	319	3	)	)	PUNCT
ejpam-5464	320	1	⊆	⊆	NUM
ejpam-5464	320	2	bu(b	bu(b	NUM
ejpam-5464	320	3	)	)	PUNCT
ejpam-5464	320	4	.	.	PUNCT
ejpam-5464	321	1	ii	ii	X
ejpam-5464	321	2	)	)	PUNCT
ejpam-5464	321	3	bi(b	bi(b	NUM
ejpam-5464	321	4	)	)	PUNCT
ejpam-5464	321	5	⊆	⊆	NUM
ejpam-5464	321	6	bl(b	bl(b	NOUN
ejpam-5464	321	7	)	)	PUNCT
ejpam-5464	322	1	⊆	⊆	NUM
ejpam-5464	322	2	bu(b	bu(b	NUM
ejpam-5464	322	3	)	)	PUNCT
ejpam-5464	322	4	.	.	PUNCT
ejpam-5464	323	1	proof	proof	NOUN
ejpam-5464	323	2	.	.	PUNCT
ejpam-5464	324	1	(	(	PUNCT
ejpam-5464	324	2	i	i	NOUN
ejpam-5464	324	3	)	)	PUNCT
ejpam-5464	324	4	if	if	SCONJ
ejpam-5464	324	5	γ	γ	X
ejpam-5464	324	6	∈	∈	PROPN
ejpam-5464	324	7	bi(b	bi(b	NUM
ejpam-5464	324	8	)	)	PUNCT
ejpam-5464	324	9	,	,	PUNCT
ejpam-5464	324	10	then	then	ADV
ejpam-5464	324	11	γ	γ	PROPN
ejpam-5464	324	12	∈	∈	PROPN
ejpam-5464	324	13	ℵi(b	ℵi(b	PUNCT
ejpam-5464	324	14	)	)	PUNCT
ejpam-5464	324	15	and	and	CCONJ
ejpam-5464	324	16	γ	γ	X
ejpam-5464	324	17	/∈	/∈	PUNCT
ejpam-5464	324	18	ℵi(b	ℵi(b	NUM
ejpam-5464	324	19	)	)	PUNCT
ejpam-5464	324	20	.	.	PUNCT
ejpam-5464	325	1	by	by	ADP
ejpam-5464	325	2	theorem	theorem	NOUN
ejpam-5464	325	3	3	3	NUM
ejpam-5464	325	4	,	,	PUNCT
ejpam-5464	325	5	γ	γ	X
ejpam-5464	325	6	∈	∈	PROPN
ejpam-5464	325	7	ℵr(b	ℵr(b	ADP
ejpam-5464	325	8	)	)	PUNCT
ejpam-5464	325	9	and	and	CCONJ
ejpam-5464	325	10	γ	γ	X
ejpam-5464	325	11	/∈	/∈	PUNCT
ejpam-5464	325	12	ℵr(b	ℵr(b	ADP
ejpam-5464	325	13	)	)	PUNCT
ejpam-5464	325	14	.	.	PUNCT
ejpam-5464	326	1	hence	hence	ADV
ejpam-5464	326	2	,	,	PUNCT
ejpam-5464	326	3	γ	γ	PROPN
ejpam-5464	326	4	∈	∈	PROPN
ejpam-5464	326	5	br(b	br(b	NUM
ejpam-5464	326	6	)	)	PUNCT
ejpam-5464	326	7	.	.	PUNCT
ejpam-5464	327	1	therefore	therefore	ADV
ejpam-5464	327	2	,	,	PUNCT
ejpam-5464	327	3	bi(b	bi(b	NUM
ejpam-5464	327	4	)	)	PUNCT
ejpam-5464	327	5	⊆	⊆	NUM
ejpam-5464	327	6	br(b	br(b	NOUN
ejpam-5464	327	7	)	)	PUNCT
ejpam-5464	327	8	.	.	PUNCT
ejpam-5464	328	1	now	now	ADV
ejpam-5464	328	2	,	,	PUNCT
ejpam-5464	328	3	if	if	SCONJ
ejpam-5464	328	4	γ	γ	PROPN
ejpam-5464	328	5	∈	∈	PROPN
ejpam-5464	328	6	br(b	br(b	PRON
ejpam-5464	328	7	)	)	PUNCT
ejpam-5464	328	8	,	,	PUNCT
ejpam-5464	328	9	then	then	ADV
ejpam-5464	328	10	γ	γ	PROPN
ejpam-5464	328	11	∈	∈	PROPN
ejpam-5464	328	12	ℵr(b	ℵr(b	ADP
ejpam-5464	328	13	)	)	PUNCT
ejpam-5464	328	14	and	and	CCONJ
ejpam-5464	328	15	γ	γ	X
ejpam-5464	328	16	/∈	/∈	PUNCT
ejpam-5464	328	17	ℵr(b	ℵr(b	ADP
ejpam-5464	328	18	)	)	PUNCT
ejpam-5464	328	19	.	.	PUNCT
ejpam-5464	329	1	by	by	ADP
ejpam-5464	329	2	theorem	theorem	NOUN
ejpam-5464	329	3	3	3	NUM
ejpam-5464	329	4	,	,	PUNCT
ejpam-5464	329	5	γ	γ	X
ejpam-5464	329	6	∈	∈	PROPN
ejpam-5464	329	7	ℵu(b	ℵu(b	PUNCT
ejpam-5464	329	8	)	)	PUNCT
ejpam-5464	329	9	and	and	CCONJ
ejpam-5464	329	10	γ	γ	X
ejpam-5464	329	11	/∈	/∈	PUNCT
ejpam-5464	329	12	ℵu(b	ℵu(b	NUM
ejpam-5464	329	13	)	)	PUNCT
ejpam-5464	329	14	.	.	PUNCT
ejpam-5464	330	1	hence	hence	ADV
ejpam-5464	330	2	,	,	PUNCT
ejpam-5464	330	3	γ	γ	X
ejpam-5464	330	4	∈	∈	PROPN
ejpam-5464	330	5	bu(b	bu(b	NUM
ejpam-5464	330	6	)	)	PUNCT
ejpam-5464	330	7	.	.	PUNCT
ejpam-5464	331	1	therefore	therefore	ADV
ejpam-5464	331	2	,	,	PUNCT
ejpam-5464	331	3	br(b	br(b	PUNCT
ejpam-5464	331	4	)	)	PUNCT
ejpam-5464	331	5	⊆	⊆	NUM
ejpam-5464	331	6	bu(b	bu(b	NUM
ejpam-5464	331	7	)	)	PUNCT
ejpam-5464	331	8	.	.	PUNCT
ejpam-5464	332	1	part	part	NOUN
ejpam-5464	332	2	(	(	PUNCT
ejpam-5464	332	3	ii	ii	NOUN
ejpam-5464	332	4	)	)	PUNCT
ejpam-5464	332	5	is	be	AUX
ejpam-5464	332	6	similar	similar	ADJ
ejpam-5464	332	7	to	to	ADP
ejpam-5464	332	8	the	the	DET
ejpam-5464	332	9	proof	proof	NOUN
ejpam-5464	332	10	of	of	ADP
ejpam-5464	332	11	part	part	NOUN
ejpam-5464	332	12	(	(	PUNCT
ejpam-5464	332	13	i	i	NOUN
ejpam-5464	332	14	)	)	PUNCT
ejpam-5464	332	15	.	.	PUNCT
ejpam-5464	333	1	theorem	theorem	ADJ
ejpam-5464	333	2	5	5	NUM
ejpam-5464	333	3	.	.	PUNCT
ejpam-5464	334	1	let	let	VERB
ejpam-5464	334	2	ℵ	ℵ	NOUN
ejpam-5464	334	3	be	be	AUX
ejpam-5464	334	4	a	a	DET
ejpam-5464	334	5	general	general	ADJ
ejpam-5464	334	6	relation	relation	NOUN
ejpam-5464	334	7	and	and	CCONJ
ejpam-5464	334	8	b	b	NOUN
ejpam-5464	334	9	⊆	⊆	NUM
ejpam-5464	334	10	x.	x.	NOUN
ejpam-5464	334	11	then	then	ADV
ejpam-5464	334	12	,	,	PUNCT
ejpam-5464	334	13	i	i	NOUN
ejpam-5464	334	14	)	)	PUNCT
ejpam-5464	334	15	κu(b	κu(b	ADP
ejpam-5464	334	16	)	)	PUNCT
ejpam-5464	334	17	⩽	⩽	NOUN
ejpam-5464	334	18	κr(b	κr(b	NOUN
ejpam-5464	334	19	)	)	PUNCT
ejpam-5464	334	20	⩽	⩽	NOUN
ejpam-5464	334	21	κi(b	κi(b	PROPN
ejpam-5464	334	22	)	)	PUNCT
ejpam-5464	334	23	.	.	PUNCT
ejpam-5464	335	1	ii	ii	X
ejpam-5464	335	2	)	)	PUNCT
ejpam-5464	336	1	κu(b	κu(b	PUNCT
ejpam-5464	336	2	)	)	PUNCT
ejpam-5464	336	3	⩽	⩽	NOUN
ejpam-5464	336	4	κl(b	κl(b	PUNCT
ejpam-5464	336	5	)	)	PUNCT
ejpam-5464	336	6	⩽	⩽	NOUN
ejpam-5464	336	7	κi(b	κi(b	PUNCT
ejpam-5464	336	8	)	)	PUNCT
ejpam-5464	336	9	.	.	PUNCT
ejpam-5464	337	1	proof	proof	NOUN
ejpam-5464	337	2	.	.	PUNCT
ejpam-5464	338	1	obvious	obvious	ADJ
ejpam-5464	338	2	.	.	PUNCT
ejpam-5464	339	1	the	the	DET
ejpam-5464	339	2	equality	equality	NOUN
ejpam-5464	339	3	in	in	ADP
ejpam-5464	339	4	theorem	theorem	ADJ
ejpam-5464	339	5	4	4	NUM
ejpam-5464	339	6	and	and	CCONJ
ejpam-5464	339	7	theorem	theorem	VERB
ejpam-5464	339	8	5	5	NUM
ejpam-5464	339	9	are	be	AUX
ejpam-5464	339	10	not	not	PART
ejpam-5464	339	11	true	true	ADJ
ejpam-5464	339	12	,	,	PUNCT
ejpam-5464	339	13	in	in	ADP
ejpam-5464	339	14	general	general	ADJ
ejpam-5464	339	15	.	.	PUNCT
ejpam-5464	339	16	example	example	NOUN
ejpam-5464	340	1	8	8	NUM
ejpam-5464	340	2	.	.	PUNCT
ejpam-5464	341	1	in	in	ADP
ejpam-5464	341	2	example	example	NOUN
ejpam-5464	341	3	6	6	NUM
ejpam-5464	341	4	and	and	CCONJ
ejpam-5464	341	5	table	table	NOUN
ejpam-5464	341	6	2	2	NUM
ejpam-5464	341	7	,	,	PUNCT
ejpam-5464	341	8	3	3	NUM
ejpam-5464	341	9	,	,	PUNCT
ejpam-5464	341	10	bi({ξ	bi({ξ	PROPN
ejpam-5464	341	11	,	,	PUNCT
ejpam-5464	341	12	η	η	NOUN
ejpam-5464	341	13	}	}	PUNCT
ejpam-5464	341	14	)	)	PUNCT
ejpam-5464	341	15	̸=	̸=	PROPN
ejpam-5464	341	16	br({ξ	br({ξ	NUM
ejpam-5464	341	17	,	,	PUNCT
ejpam-5464	341	18	η	η	NOUN
ejpam-5464	341	19	}	}	PUNCT
ejpam-5464	341	20	)	)	PUNCT
ejpam-5464	341	21	̸=	̸=	PROPN
ejpam-5464	341	22	bl({ξ	bl({ξ	NOUN
ejpam-5464	341	23	,	,	PUNCT
ejpam-5464	341	24	η	η	NOUN
ejpam-5464	341	25	}	}	PUNCT
ejpam-5464	341	26	)	)	PUNCT
ejpam-5464	341	27	̸=	̸=	PROPN
ejpam-5464	341	28	bu({ξ	bu({ξ	NOUN
ejpam-5464	341	29	,	,	PUNCT
ejpam-5464	341	30	η	η	NOUN
ejpam-5464	341	31	}	}	PUNCT
ejpam-5464	341	32	)	)	PUNCT
ejpam-5464	341	33	and	and	CCONJ
ejpam-5464	341	34	κu({ξ	κu({ξ	PROPN
ejpam-5464	341	35	,	,	PUNCT
ejpam-5464	341	36	η	η	NOUN
ejpam-5464	341	37	}	}	PUNCT
ejpam-5464	341	38	)	)	PUNCT
ejpam-5464	341	39	̸=	̸=	PROPN
ejpam-5464	341	40	κr({ξ	κr({ξ	NOUN
ejpam-5464	341	41	,	,	PUNCT
ejpam-5464	341	42	η	η	NOUN
ejpam-5464	341	43	}	}	PUNCT
ejpam-5464	341	44	)	)	PUNCT
ejpam-5464	341	45	̸=	̸=	PROPN
ejpam-5464	341	46	κl({ξ	κl({ξ	PROPN
ejpam-5464	341	47	,	,	PUNCT
ejpam-5464	341	48	η	η	NOUN
ejpam-5464	341	49	}	}	PUNCT
ejpam-5464	341	50	=	=	ADJ
ejpam-5464	341	51	̸	̸	PUNCT
ejpam-5464	341	52	κi({ξ	κi({ξ	NOUN
ejpam-5464	341	53	,	,	PUNCT
ejpam-5464	341	54	η	η	NOUN
ejpam-5464	341	55	}	}	PUNCT
ejpam-5464	341	56	.	.	PUNCT
ejpam-5464	342	1	theorem	theorem	NOUN
ejpam-5464	342	2	6	6	NUM
ejpam-5464	342	3	.	.	PUNCT
ejpam-5464	343	1	let	let	VERB
ejpam-5464	343	2	ℵ	ℵ	NOUN
ejpam-5464	343	3	be	be	AUX
ejpam-5464	343	4	a	a	DET
ejpam-5464	343	5	general	general	ADJ
ejpam-5464	343	6	relation	relation	NOUN
ejpam-5464	343	7	and	and	CCONJ
ejpam-5464	343	8	b	b	NOUN
ejpam-5464	343	9	⊆	⊆	NUM
ejpam-5464	343	10	x.	x.	NOUN
ejpam-5464	343	11	then	then	ADV
ejpam-5464	343	12	,	,	PUNCT
ejpam-5464	343	13	i	i	PROPN
ejpam-5464	343	14	)	)	PUNCT
ejpam-5464	343	15	b	b	PROPN
ejpam-5464	343	16	is	be	AUX
ejpam-5464	343	17	cmu−exact	cmu−exact	NOUN
ejpam-5464	343	18	=	=	NOUN
ejpam-5464	343	19	⇒	⇒	NOUN
ejpam-5464	343	20	b	b	NOUN
ejpam-5464	343	21	is	be	AUX
ejpam-5464	343	22	cmr−exact	cmr−exact	NOUN
ejpam-5464	343	23	=	=	NOUN
ejpam-5464	343	24	⇒	⇒	NOUN
ejpam-5464	343	25	b	b	NOUN
ejpam-5464	343	26	is	be	AUX
ejpam-5464	343	27	cmi−exact	cmi−exact	PROPN
ejpam-5464	343	28	.	.	PUNCT
ejpam-5464	343	29	ii	ii	PROPN
ejpam-5464	343	30	)	)	PUNCT
ejpam-5464	343	31	b	b	PROPN
ejpam-5464	343	32	is	be	AUX
ejpam-5464	343	33	cmu−exact	cmu−exact	NOUN
ejpam-5464	343	34	=	=	NOUN
ejpam-5464	343	35	⇒	⇒	NOUN
ejpam-5464	343	36	b	b	NOUN
ejpam-5464	343	37	is	be	AUX
ejpam-5464	343	38	cml−exact	cml−exact	NOUN
ejpam-5464	343	39	=	=	NOUN
ejpam-5464	343	40	⇒	⇒	NOUN
ejpam-5464	343	41	b	b	NOUN
ejpam-5464	343	42	is	be	AUX
ejpam-5464	343	43	cmi−exact	cmi−exact	PROPN
ejpam-5464	343	44	.	.	PUNCT
ejpam-5464	344	1	proof	proof	NOUN
ejpam-5464	344	2	.	.	PUNCT
ejpam-5464	345	1	obvious	obvious	ADJ
ejpam-5464	345	2	.	.	PUNCT
ejpam-5464	346	1	the	the	DET
ejpam-5464	346	2	converse	converse	NOUN
ejpam-5464	346	3	of	of	ADP
ejpam-5464	346	4	theorem	theorem	NOUN
ejpam-5464	346	5	6	6	NUM
ejpam-5464	346	6	is	be	AUX
ejpam-5464	346	7	not	not	PART
ejpam-5464	346	8	true	true	ADJ
ejpam-5464	346	9	,	,	PUNCT
ejpam-5464	346	10	in	in	ADP
ejpam-5464	346	11	general	general	ADJ
ejpam-5464	346	12	.	.	PUNCT
ejpam-5464	346	13	example	example	NOUN
ejpam-5464	347	1	9	9	NUM
ejpam-5464	347	2	.	.	PUNCT
ejpam-5464	348	1	in	in	ADP
ejpam-5464	348	2	example	example	NOUN
ejpam-5464	348	3	6	6	NUM
ejpam-5464	348	4	and	and	CCONJ
ejpam-5464	348	5	table	table	NOUN
ejpam-5464	348	6	2	2	NUM
ejpam-5464	348	7	,	,	PUNCT
ejpam-5464	348	8	3	3	NUM
ejpam-5464	348	9	,	,	PUNCT
ejpam-5464	348	10	{	{	PUNCT
ejpam-5464	348	11	ζ	ζ	X
ejpam-5464	348	12	,	,	PUNCT
ejpam-5464	348	13	η	η	NOUN
ejpam-5464	348	14	}	}	PUNCT
ejpam-5464	348	15	is	be	AUX
ejpam-5464	348	16	cmi−exact	cmi−exact	PROPN
ejpam-5464	348	17	,	,	PUNCT
ejpam-5464	348	18	but	but	CCONJ
ejpam-5464	348	19	{	{	PUNCT
ejpam-5464	348	20	ζ	ζ	NOUN
ejpam-5464	348	21	,	,	PUNCT
ejpam-5464	348	22	η	η	NOUN
ejpam-5464	348	23	}	}	PUNCT
ejpam-5464	348	24	is	be	AUX
ejpam-5464	348	25	not	not	PART
ejpam-5464	348	26	cmr−exact	cmr−exact	ADJ
ejpam-5464	348	27	or	or	CCONJ
ejpam-5464	348	28	cml−exact	cml−exact	PROPN
ejpam-5464	348	29	or	or	CCONJ
ejpam-5464	348	30	cmu−exact	cmu−exact	PROPN
ejpam-5464	348	31	.	.	PUNCT
ejpam-5464	348	32	{	{	PUNCT
ejpam-5464	349	1	ξ	ξ	X
ejpam-5464	349	2	}	}	PUNCT
ejpam-5464	349	3	is	be	AUX
ejpam-5464	349	4	cmr−exact	cmr−exact	ADJ
ejpam-5464	349	5	,	,	PUNCT
ejpam-5464	349	6	but	but	CCONJ
ejpam-5464	349	7	{	{	PUNCT
ejpam-5464	349	8	ξ	ξ	X
ejpam-5464	349	9	}	}	PUNCT
ejpam-5464	349	10	is	be	AUX
ejpam-5464	349	11	not	not	PART
ejpam-5464	349	12	cmu−exact	cmu−exact	PROPN
ejpam-5464	349	13	.	.	PUNCT
ejpam-5464	350	1	{	{	PUNCT
ejpam-5464	350	2	γ	γ	X
ejpam-5464	350	3	}	}	PUNCT
ejpam-5464	350	4	is	be	AUX
ejpam-5464	350	5	cml−exact	cml−exact	ADJ
ejpam-5464	350	6	,	,	PUNCT
ejpam-5464	350	7	but	but	CCONJ
ejpam-5464	350	8	{	{	PUNCT
ejpam-5464	350	9	γ	γ	X
ejpam-5464	350	10	}	}	PUNCT
ejpam-5464	350	11	is	be	AUX
ejpam-5464	350	12	not	not	PART
ejpam-5464	350	13	cmu−exact	cmu−exact	PROPN
ejpam-5464	350	14	.	.	PUNCT
ejpam-5464	350	15	i.	i.	PROPN
ejpam-5464	350	16	shbair	shbair	PROPN
ejpam-5464	350	17	et	et	PROPN
ejpam-5464	350	18	al	al	PROPN
ejpam-5464	350	19	.	.	PUNCT
ejpam-5464	350	20	/	/	SYM
ejpam-5464	350	21	eur	eur	PROPN
ejpam-5464	350	22	.	.	PUNCT
ejpam-5464	351	1	j.	j.	PROPN
ejpam-5464	351	2	pure	pure	PROPN
ejpam-5464	351	3	appl	appl	PROPN
ejpam-5464	351	4	.	.	PROPN
ejpam-5464	351	5	math	math	PROPN
ejpam-5464	351	6	,	,	PUNCT
ejpam-5464	351	7	17	17	NUM
ejpam-5464	351	8	(	(	PUNCT
ejpam-5464	351	9	4	4	NUM
ejpam-5464	351	10	)	)	PUNCT
ejpam-5464	351	11	(	(	PUNCT
ejpam-5464	351	12	2024	2024	NUM
ejpam-5464	351	13	)	)	PUNCT
ejpam-5464	351	14	,	,	PUNCT
ejpam-5464	351	15	3567	3567	NUM
ejpam-5464	351	16	-	-	SYM
ejpam-5464	351	17	3584	3584	NUM
ejpam-5464	351	18	3578	3578	NUM
ejpam-5464	351	19	5	5	NUM
ejpam-5464	351	20	.	.	PUNCT
ejpam-5464	352	1	topological	topological	ADJ
ejpam-5464	352	2	spaces	space	NOUN
ejpam-5464	352	3	generated	generate	VERB
ejpam-5464	352	4	by	by	ADP
ejpam-5464	352	5	core	core	NOUN
ejpam-5464	352	6	minimal	minimal	ADJ
ejpam-5464	352	7	neighborhoods	neighborhood	NOUN
ejpam-5464	352	8	this	this	DET
ejpam-5464	352	9	part	part	NOUN
ejpam-5464	352	10	uses	use	VERB
ejpam-5464	352	11	the	the	DET
ejpam-5464	352	12	fundamental	fundamental	ADJ
ejpam-5464	352	13	concept	concept	NOUN
ejpam-5464	352	14	of	of	ADP
ejpam-5464	352	15	core	core	NOUN
ejpam-5464	352	16	minimal	minimal	ADJ
ejpam-5464	352	17	neighborhoods	neighborhood	NOUN
ejpam-5464	352	18	to	to	PART
ejpam-5464	352	19	generate	generate	VERB
ejpam-5464	352	20	topologies	topology	NOUN
ejpam-5464	352	21	by	by	ADP
ejpam-5464	352	22	using	use	VERB
ejpam-5464	352	23	general	general	ADJ
ejpam-5464	352	24	relations	relation	NOUN
ejpam-5464	352	25	.	.	PUNCT
ejpam-5464	353	1	a	a	DET
ejpam-5464	353	2	comparison	comparison	NOUN
ejpam-5464	353	3	of	of	ADP
ejpam-5464	353	4	different	different	ADJ
ejpam-5464	353	5	kinds	kind	NOUN
ejpam-5464	353	6	of	of	ADP
ejpam-5464	353	7	topologies	topology	NOUN
ejpam-5464	353	8	is	be	AUX
ejpam-5464	353	9	explored	explore	VERB
ejpam-5464	353	10	.	.	PUNCT
ejpam-5464	354	1	theorem	theorem	ADJ
ejpam-5464	354	2	7	7	NUM
ejpam-5464	354	3	.	.	PUNCT
ejpam-5464	355	1	let	let	AUX
ejpam-5464	355	2	(	(	PUNCT
ejpam-5464	355	3	x,ℵ	x,ℵ	PROPN
ejpam-5464	355	4	,	,	PUNCT
ejpam-5464	355	5	cmj	cmj	NOUN
ejpam-5464	355	6	)	)	PUNCT
ejpam-5464	355	7	be	be	AUX
ejpam-5464	355	8	core	core	NOUN
ejpam-5464	355	9	minimal	minimal	ADJ
ejpam-5464	355	10	approximation	approximation	NOUN
ejpam-5464	355	11	space	space	NOUN
ejpam-5464	355	12	and	and	CCONJ
ejpam-5464	355	13	ℵ	ℵ	NOUN
ejpam-5464	355	14	be	be	VERB
ejpam-5464	355	15	a	a	DET
ejpam-5464	355	16	general	general	ADJ
ejpam-5464	355	17	relation	relation	NOUN
ejpam-5464	355	18	.	.	PUNCT
ejpam-5464	356	1	then	then	ADV
ejpam-5464	356	2	,	,	PUNCT
ejpam-5464	356	3	the	the	DET
ejpam-5464	356	4	families	family	NOUN
ejpam-5464	356	5	τj	τj	ADP
ejpam-5464	356	6	=	=	PUNCT
ejpam-5464	356	7	{	{	PUNCT
ejpam-5464	356	8	b	b	NOUN
ejpam-5464	356	9	⊆	⊆	NUM
ejpam-5464	356	10	x	x	SYM
ejpam-5464	356	11	:	:	PUNCT
ejpam-5464	356	12	cmj(ξ	cmj(ξ	X
ejpam-5464	356	13	)	)	PUNCT
ejpam-5464	356	14	⊆	⊆	NUM
ejpam-5464	356	15	b	b	NOUN
ejpam-5464	356	16	,	,	PUNCT
ejpam-5464	356	17	ξ	ξ	PROPN
ejpam-5464	356	18	∈	∈	PROPN
ejpam-5464	356	19	b	b	NOUN
ejpam-5464	356	20	}	}	PUNCT
ejpam-5464	356	21	are	be	AUX
ejpam-5464	356	22	topologies	topology	NOUN
ejpam-5464	356	23	on	on	ADP
ejpam-5464	356	24	x	x	NOUN
ejpam-5464	356	25	,	,	PUNCT
ejpam-5464	356	26	for	for	ADP
ejpam-5464	356	27	all	all	DET
ejpam-5464	356	28	j	j	PROPN
ejpam-5464	356	29	∈	∈	PROPN
ejpam-5464	356	30	j.	j.	PROPN
ejpam-5464	356	31	proof	proof	PROPN
ejpam-5464	356	32	.	.	PUNCT
ejpam-5464	357	1	(	(	PUNCT
ejpam-5464	357	2	i	i	NOUN
ejpam-5464	357	3	)	)	PUNCT
ejpam-5464	357	4	clearly	clearly	ADV
ejpam-5464	357	5	,	,	PUNCT
ejpam-5464	357	6	x	x	PRON
ejpam-5464	357	7	,	,	PUNCT
ejpam-5464	357	8	ϕ	ϕ	PROPN
ejpam-5464	357	9	∈	∈	PROPN
ejpam-5464	357	10	τj	τj	ADP
ejpam-5464	357	11	.	.	PUNCT
ejpam-5464	358	1	(	(	PUNCT
ejpam-5464	358	2	ii	ii	NOUN
ejpam-5464	358	3	)	)	PUNCT
ejpam-5464	358	4	let	let	VERB
ejpam-5464	358	5	ai	ai	VERB
ejpam-5464	358	6	∈	∈	NOUN
ejpam-5464	358	7	τj	τj	ADP
ejpam-5464	358	8	where	where	SCONJ
ejpam-5464	358	9	i	i	PRON
ejpam-5464	358	10	∈	∈	VERB
ejpam-5464	358	11	i	i	PRON
ejpam-5464	358	12	and	and	CCONJ
ejpam-5464	358	13	ξ	ξ	PRON
ejpam-5464	358	14	∈	∈	PROPN
ejpam-5464	358	15	⋃	⋃	NOUN
ejpam-5464	358	16	i∈i	i∈i	ADJ
ejpam-5464	358	17	ai	ai	NOUN
ejpam-5464	358	18	.	.	PUNCT
ejpam-5464	359	1	then	then	ADV
ejpam-5464	359	2	,	,	PUNCT
ejpam-5464	359	3	there	there	PRON
ejpam-5464	359	4	exists	exist	VERB
ejpam-5464	359	5	ai0	ai0	PROPN
ejpam-5464	359	6	∈	∈	PROPN
ejpam-5464	359	7	τj	τj	ADP
ejpam-5464	359	8	such	such	ADJ
ejpam-5464	359	9	that	that	SCONJ
ejpam-5464	359	10	ξ	ξ	PROPN
ejpam-5464	359	11	∈	∈	PROPN
ejpam-5464	359	12	ai0	ai0	PROPN
ejpam-5464	359	13	∈	∈	PROPN
ejpam-5464	359	14	⋃	⋃	NOUN
ejpam-5464	359	15	i∈i	i∈i	ADJ
ejpam-5464	359	16	ai	ai	VERB
ejpam-5464	359	17	.	.	PUNCT
ejpam-5464	360	1	this	this	PRON
ejpam-5464	360	2	implies	imply	VERB
ejpam-5464	360	3	that	that	SCONJ
ejpam-5464	360	4	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	360	5	)	)	PUNCT
ejpam-5464	360	6	⊆	⊆	NUM
ejpam-5464	360	7	ai0	ai0	PROPN
ejpam-5464	360	8	.	.	PUNCT
ejpam-5464	361	1	hence	hence	ADV
ejpam-5464	361	2	,	,	PUNCT
ejpam-5464	361	3	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	361	4	)	)	PUNCT
ejpam-5464	361	5	⊆	⊆	NUM
ejpam-5464	361	6	⋃	⋃	NOUN
ejpam-5464	361	7	ξ∈i	ξ∈i	NUM
ejpam-5464	361	8	ai	ai	NOUN
ejpam-5464	361	9	.	.	PUNCT
ejpam-5464	362	1	therefore,⋃	therefore,⋃	PROPN
ejpam-5464	362	2	i∈i	i∈i	NOUN
ejpam-5464	362	3	ai	ai	VERB
ejpam-5464	362	4	∈	∈	PROPN
ejpam-5464	362	5	τj	τj	ADP
ejpam-5464	362	6	.	.	PUNCT
ejpam-5464	363	1	(	(	PUNCT
ejpam-5464	363	2	iii	iii	X
ejpam-5464	363	3	)	)	PUNCT
ejpam-5464	363	4	if	if	SCONJ
ejpam-5464	363	5	a1,a2	a1,a2	PROPN
ejpam-5464	363	6	∈	∈	PROPN
ejpam-5464	363	7	τj	τj	ADP
ejpam-5464	363	8	and	and	CCONJ
ejpam-5464	363	9	ξ	ξ	PRON
ejpam-5464	363	10	∈	∈	PROPN
ejpam-5464	363	11	a1	a1	NOUN
ejpam-5464	363	12	∩	∩	ADJ
ejpam-5464	363	13	a2	a2	PROPN
ejpam-5464	363	14	,	,	PUNCT
ejpam-5464	363	15	then	then	ADV
ejpam-5464	363	16	ξ	ξ	PROPN
ejpam-5464	363	17	∈	∈	PROPN
ejpam-5464	363	18	a1	a1	NOUN
ejpam-5464	363	19	and	and	CCONJ
ejpam-5464	363	20	ξ	ξ	PROPN
ejpam-5464	363	21	∈	∈	PROPN
ejpam-5464	363	22	a2	a2	PROPN
ejpam-5464	363	23	.	.	PUNCT
ejpam-5464	364	1	hence	hence	ADV
ejpam-5464	364	2	,	,	PUNCT
ejpam-5464	364	3	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	364	4	)	)	PUNCT
ejpam-5464	364	5	⊆	⊆	NUM
ejpam-5464	364	6	a1	a1	NOUN
ejpam-5464	364	7	and	and	CCONJ
ejpam-5464	364	8	cmj(ξ	cmj(ξ	NOUN
ejpam-5464	364	9	)	)	PUNCT
ejpam-5464	364	10	⊆	⊆	NUM
ejpam-5464	364	11	a2	a2	NOUN
ejpam-5464	364	12	.	.	PUNCT
ejpam-5464	365	1	so	so	ADV
ejpam-5464	365	2	,	,	PUNCT
ejpam-5464	365	3	cmj(ξ	cmj(ξ	PROPN
ejpam-5464	365	4	)	)	PUNCT
ejpam-5464	365	5	⊆	⊆	NUM
ejpam-5464	365	6	a1	a1	NOUN
ejpam-5464	365	7	∩	∩	ADJ
ejpam-5464	365	8	a2	a2	PROPN
ejpam-5464	365	9	.	.	PUNCT
ejpam-5464	366	1	therefore	therefore	ADV
ejpam-5464	366	2	,	,	PUNCT
ejpam-5464	366	3	a1	a1	NOUN
ejpam-5464	366	4	∩	∩	NOUN
ejpam-5464	366	5	a2	a2	NOUN
ejpam-5464	366	6	∈	∈	PROPN
ejpam-5464	366	7	τj	τj	ADP
ejpam-5464	366	8	.	.	PUNCT
ejpam-5464	366	9	example	example	NOUN
ejpam-5464	367	1	10	10	NUM
ejpam-5464	367	2	.	.	PUNCT
ejpam-5464	368	1	in	in	ADP
ejpam-5464	368	2	example	example	NOUN
ejpam-5464	368	3	2	2	NUM
ejpam-5464	368	4	,	,	PUNCT
ejpam-5464	368	5	we	we	PRON
ejpam-5464	368	6	have	have	VERB
ejpam-5464	368	7	:	:	PUNCT
ejpam-5464	368	8	τr	τr	ADP
ejpam-5464	368	9	=	=	SYM
ejpam-5464	368	10	{	{	PUNCT
ejpam-5464	368	11	x	x	PROPN
ejpam-5464	368	12	,	,	PUNCT
ejpam-5464	368	13	ϕ	ϕ	NOUN
ejpam-5464	368	14	,	,	PUNCT
ejpam-5464	368	15	{	{	PUNCT
ejpam-5464	368	16	ξ	ξ	X
ejpam-5464	368	17	}	}	PUNCT
ejpam-5464	368	18	,	,	PUNCT
ejpam-5464	368	19	{	{	PUNCT
ejpam-5464	368	20	ζ	ζ	NOUN
ejpam-5464	368	21	}	}	PUNCT
ejpam-5464	368	22	,	,	PUNCT
ejpam-5464	368	23	{	{	PUNCT
ejpam-5464	368	24	ξ	ξ	X
ejpam-5464	368	25	,	,	PUNCT
ejpam-5464	368	26	ζ	ζ	NOUN
ejpam-5464	368	27	}	}	PUNCT
ejpam-5464	368	28	,	,	PUNCT
ejpam-5464	368	29	{	{	PUNCT
ejpam-5464	368	30	γ	γ	X
ejpam-5464	368	31	,	,	PUNCT
ejpam-5464	368	32	η	η	NOUN
ejpam-5464	368	33	}	}	PUNCT
ejpam-5464	368	34	,	,	PUNCT
ejpam-5464	368	35	{	{	PUNCT
ejpam-5464	368	36	ξ	ξ	X
ejpam-5464	368	37	,	,	PUNCT
ejpam-5464	368	38	γ	γ	X
ejpam-5464	368	39	,	,	PUNCT
ejpam-5464	368	40	η	η	NOUN
ejpam-5464	368	41	}	}	PUNCT
ejpam-5464	368	42	,	,	PUNCT
ejpam-5464	368	43	{	{	PUNCT
ejpam-5464	368	44	γ	γ	X
ejpam-5464	368	45	,	,	PUNCT
ejpam-5464	368	46	ζ	ζ	NOUN
ejpam-5464	368	47	,	,	PUNCT
ejpam-5464	368	48	η	η	NOUN
ejpam-5464	368	49	}	}	PUNCT
ejpam-5464	368	50	}	}	PUNCT
ejpam-5464	368	51	,	,	PUNCT
ejpam-5464	368	52	τl	τl	ADP
ejpam-5464	368	53	=	=	PUNCT
ejpam-5464	368	54	{	{	PUNCT
ejpam-5464	368	55	x	x	NOUN
ejpam-5464	368	56	,	,	PUNCT
ejpam-5464	368	57	ϕ	ϕ	NOUN
ejpam-5464	368	58	,	,	PUNCT
ejpam-5464	368	59	{	{	PUNCT
ejpam-5464	368	60	γ	γ	X
ejpam-5464	368	61	}	}	PUNCT
ejpam-5464	368	62	,	,	PUNCT
ejpam-5464	368	63	{	{	PUNCT
ejpam-5464	368	64	η	η	X
ejpam-5464	368	65	}	}	PUNCT
ejpam-5464	368	66	,	,	PUNCT
ejpam-5464	368	67	{	{	PUNCT
ejpam-5464	368	68	ξ	ξ	X
ejpam-5464	368	69	,	,	PUNCT
ejpam-5464	368	70	ζ	ζ	NOUN
ejpam-5464	368	71	}	}	PUNCT
ejpam-5464	368	72	,	,	PUNCT
ejpam-5464	368	73	{	{	PUNCT
ejpam-5464	368	74	γ	γ	X
ejpam-5464	368	75	,	,	PUNCT
ejpam-5464	368	76	η	η	NOUN
ejpam-5464	368	77	}	}	PUNCT
ejpam-5464	368	78	,	,	PUNCT
ejpam-5464	368	79	{	{	PUNCT
ejpam-5464	368	80	ξ	ξ	X
ejpam-5464	368	81	,	,	PUNCT
ejpam-5464	368	82	γ	γ	X
ejpam-5464	368	83	,	,	PUNCT
ejpam-5464	368	84	ζ	ζ	NOUN
ejpam-5464	368	85	}	}	PUNCT
ejpam-5464	368	86	,	,	PUNCT
ejpam-5464	368	87	{	{	PUNCT
ejpam-5464	368	88	ξ	ξ	X
ejpam-5464	368	89	,	,	PUNCT
ejpam-5464	368	90	ζ	ζ	NOUN
ejpam-5464	368	91	,	,	PUNCT
ejpam-5464	368	92	η	η	NOUN
ejpam-5464	368	93	}	}	PUNCT
ejpam-5464	368	94	}	}	PUNCT
ejpam-5464	368	95	,	,	PUNCT
ejpam-5464	368	96	τu	τu	ADP
ejpam-5464	368	97	=	=	PUNCT
ejpam-5464	368	98	{	{	PUNCT
ejpam-5464	368	99	x	x	PROPN
ejpam-5464	368	100	,	,	PUNCT
ejpam-5464	368	101	ϕ	ϕ	NOUN
ejpam-5464	368	102	,	,	PUNCT
ejpam-5464	368	103	{	{	PUNCT
ejpam-5464	368	104	ξ	ξ	NOUN
ejpam-5464	368	105	,	,	PUNCT
ejpam-5464	368	106	ζ	ζ	NOUN
ejpam-5464	368	107	}	}	PUNCT
ejpam-5464	368	108	,	,	PUNCT
ejpam-5464	368	109	{	{	PUNCT
ejpam-5464	368	110	γ	γ	X
ejpam-5464	368	111	,	,	PUNCT
ejpam-5464	368	112	η	η	NOUN
ejpam-5464	368	113	}	}	PUNCT
ejpam-5464	368	114	}	}	PUNCT
ejpam-5464	368	115	,	,	PUNCT
ejpam-5464	368	116	and	and	CCONJ
ejpam-5464	368	117	τi	τi	VERB
ejpam-5464	368	118	=	=	SYM
ejpam-5464	368	119	τdiscrete	τdiscrete	ADJ
ejpam-5464	368	120	.	.	PUNCT
ejpam-5464	369	1	theorem	theorem	VERB
ejpam-5464	369	2	8	8	NUM
ejpam-5464	369	3	.	.	PUNCT
ejpam-5464	370	1	if	if	SCONJ
ejpam-5464	370	2	τj	τj	ADV
ejpam-5464	370	3	are	be	AUX
ejpam-5464	370	4	topologies	topology	NOUN
ejpam-5464	370	5	,	,	PUNCT
ejpam-5464	370	6	then	then	ADV
ejpam-5464	370	7	i	i	PROPN
ejpam-5464	370	8	)	)	PUNCT
ejpam-5464	370	9	τu	τu	ADP
ejpam-5464	370	10	⊆	⊆	NUM
ejpam-5464	370	11	τr	τr	ADP
ejpam-5464	370	12	⊆	⊆	NUM
ejpam-5464	370	13	τi	τi	NOUN
ejpam-5464	370	14	.	.	PUNCT
ejpam-5464	370	15	ii	ii	PROPN
ejpam-5464	370	16	)	)	PUNCT
ejpam-5464	370	17	τu	τu	ADP
ejpam-5464	370	18	⊆	⊆	NUM
ejpam-5464	370	19	τl	τl	NUM
ejpam-5464	370	20	⊆	⊆	NUM
ejpam-5464	370	21	τi	τi	NOUN
ejpam-5464	370	22	.	.	PUNCT
ejpam-5464	371	1	proof	proof	NOUN
ejpam-5464	371	2	.	.	PUNCT
ejpam-5464	372	1	let	let	VERB
ejpam-5464	372	2	b	b	X
ejpam-5464	372	3	∈	∈	PROPN
ejpam-5464	372	4	τu	τu	PROPN
ejpam-5464	372	5	.	.	PUNCT
ejpam-5464	373	1	then	then	ADV
ejpam-5464	373	2	,	,	PUNCT
ejpam-5464	373	3	∀ξ	∀ξ	ADJ
ejpam-5464	373	4	∈	∈	PROPN
ejpam-5464	373	5	b	b	NOUN
ejpam-5464	373	6	,	,	PUNCT
ejpam-5464	373	7	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	373	8	)	)	PUNCT
ejpam-5464	373	9	⊆	⊆	NUM
ejpam-5464	373	10	b	b	NOUN
ejpam-5464	373	11	.	.	PUNCT
ejpam-5464	374	1	but	but	CCONJ
ejpam-5464	374	2	,	,	PUNCT
ejpam-5464	374	3	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	374	4	)	)	PUNCT
ejpam-5464	374	5	=	=	SYM
ejpam-5464	374	6	cmr(ξ	cmr(ξ	ADJ
ejpam-5464	374	7	)	)	PUNCT
ejpam-5464	374	8	∪	∪	ADP
ejpam-5464	374	9	cml(ξ	cml(ξ	PROPN
ejpam-5464	374	10	)	)	PUNCT
ejpam-5464	374	11	,	,	PUNCT
ejpam-5464	374	12	then	then	ADV
ejpam-5464	374	13	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	374	14	)	)	PUNCT
ejpam-5464	374	15	⊆	⊆	NUM
ejpam-5464	374	16	b	b	NOUN
ejpam-5464	374	17	for	for	ADP
ejpam-5464	374	18	all	all	DET
ejpam-5464	374	19	ξ	ξ	PROPN
ejpam-5464	374	20	∈	∈	PROPN
ejpam-5464	374	21	b.	b.	PROPN
ejpam-5464	374	22	hence	hence	ADV
ejpam-5464	374	23	,	,	PUNCT
ejpam-5464	374	24	b	b	PROPN
ejpam-5464	374	25	∈	∈	PROPN
ejpam-5464	375	1	τr	τr	PROPN
ejpam-5464	375	2	.	.	PUNCT
ejpam-5464	376	1	therefore	therefore	ADV
ejpam-5464	376	2	,	,	PUNCT
ejpam-5464	376	3	τu	τu	ADP
ejpam-5464	376	4	⊆	⊆	NUM
ejpam-5464	376	5	τr	τr	NUM
ejpam-5464	376	6	.	.	PUNCT
ejpam-5464	377	1	now	now	ADV
ejpam-5464	377	2	,	,	PUNCT
ejpam-5464	377	3	let	let	VERB
ejpam-5464	377	4	b	b	X
ejpam-5464	377	5	∈	∈	PROPN
ejpam-5464	377	6	τr	τr	PROPN
ejpam-5464	377	7	.	.	PUNCT
ejpam-5464	378	1	then	then	ADV
ejpam-5464	378	2	,	,	PUNCT
ejpam-5464	378	3	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	378	4	)	)	PUNCT
ejpam-5464	378	5	⊆	⊆	NUM
ejpam-5464	378	6	b	b	NOUN
ejpam-5464	378	7	,	,	PUNCT
ejpam-5464	378	8	∀ξ	∀ξ	X
ejpam-5464	378	9	∈	∈	PROPN
ejpam-5464	378	10	b.	b.	NOUN
ejpam-5464	379	1	but	but	CCONJ
ejpam-5464	379	2	,	,	PUNCT
ejpam-5464	379	3	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	379	4	)	)	PUNCT
ejpam-5464	379	5	=	=	SYM
ejpam-5464	379	6	cmr(ξ)∩cml(ξ	cmr(ξ)∩cml(ξ	NOUN
ejpam-5464	379	7	)	)	PUNCT
ejpam-5464	379	8	,	,	PUNCT
ejpam-5464	379	9	then	then	ADV
ejpam-5464	379	10	cmi(ξ	cmi(ξ	PROPN
ejpam-5464	379	11	)	)	PUNCT
ejpam-5464	379	12	⊆	⊆	NUM
ejpam-5464	379	13	b	b	NOUN
ejpam-5464	379	14	for	for	ADP
ejpam-5464	379	15	all	all	DET
ejpam-5464	379	16	ξ	ξ	PROPN
ejpam-5464	379	17	∈	∈	PROPN
ejpam-5464	379	18	b.	b.	PROPN
ejpam-5464	379	19	hence	hence	ADV
ejpam-5464	379	20	,	,	PUNCT
ejpam-5464	379	21	b	b	PROPN
ejpam-5464	379	22	∈	∈	PROPN
ejpam-5464	379	23	τi	τi	NOUN
ejpam-5464	379	24	.	.	PUNCT
ejpam-5464	380	1	therefore	therefore	ADV
ejpam-5464	380	2	,	,	PUNCT
ejpam-5464	380	3	τr	τr	AUX
ejpam-5464	380	4	⊆	⊆	NUM
ejpam-5464	380	5	τi	τi	NOUN
ejpam-5464	380	6	.	.	PUNCT
ejpam-5464	381	1	similarly	similarly	ADV
ejpam-5464	381	2	,	,	PUNCT
ejpam-5464	381	3	the	the	DET
ejpam-5464	381	4	proof	proof	NOUN
ejpam-5464	381	5	of	of	ADP
ejpam-5464	381	6	part	part	NOUN
ejpam-5464	381	7	(	(	PUNCT
ejpam-5464	381	8	ii	ii	NOUN
ejpam-5464	381	9	)	)	PUNCT
ejpam-5464	381	10	.	.	PUNCT
ejpam-5464	382	1	the	the	DET
ejpam-5464	382	2	equality	equality	NOUN
ejpam-5464	382	3	of	of	ADP
ejpam-5464	382	4	parts	part	NOUN
ejpam-5464	382	5	(	(	PUNCT
ejpam-5464	382	6	i	i	NOUN
ejpam-5464	382	7	)	)	PUNCT
ejpam-5464	382	8	and	and	CCONJ
ejpam-5464	382	9	(	(	PUNCT
ejpam-5464	382	10	ii	ii	NOUN
ejpam-5464	382	11	)	)	PUNCT
ejpam-5464	382	12	in	in	ADP
ejpam-5464	382	13	theorem	theorem	NOUN
ejpam-5464	382	14	8	8	NUM
ejpam-5464	382	15	is	be	AUX
ejpam-5464	382	16	not	not	PART
ejpam-5464	382	17	true	true	ADJ
ejpam-5464	382	18	,	,	PUNCT
ejpam-5464	382	19	in	in	ADP
ejpam-5464	382	20	general	general	ADJ
ejpam-5464	382	21	.	.	PUNCT
ejpam-5464	382	22	example	example	NOUN
ejpam-5464	383	1	11	11	NUM
ejpam-5464	383	2	.	.	PUNCT
ejpam-5464	384	1	in	in	ADP
ejpam-5464	384	2	example	example	NOUN
ejpam-5464	384	3	10	10	NUM
ejpam-5464	384	4	,	,	PUNCT
ejpam-5464	384	5	τr	τr	PUNCT
ejpam-5464	384	6	̸=	̸=	PROPN
ejpam-5464	384	7	τl	τl	VERB
ejpam-5464	384	8	̸=	̸=	PROPN
ejpam-5464	384	9	τu	τu	ADP
ejpam-5464	384	10	̸=	̸=	PROPN
ejpam-5464	384	11	τi	τi	NOUN
ejpam-5464	384	12	.	.	PUNCT
ejpam-5464	385	1	theorem	theorem	VERB
ejpam-5464	385	2	9	9	NUM
ejpam-5464	385	3	.	.	PUNCT
ejpam-5464	386	1	let	let	VERB
ejpam-5464	386	2	ℵ	ℵ	NOUN
ejpam-5464	386	3	be	be	AUX
ejpam-5464	386	4	a	a	DET
ejpam-5464	386	5	symmetric	symmetric	ADJ
ejpam-5464	386	6	relation	relation	NOUN
ejpam-5464	386	7	and	and	CCONJ
ejpam-5464	386	8	τj	τj	ADP
ejpam-5464	386	9	are	be	AUX
ejpam-5464	386	10	topologies	topology	NOUN
ejpam-5464	386	11	.	.	PUNCT
ejpam-5464	387	1	then	then	ADV
ejpam-5464	387	2	,	,	PUNCT
ejpam-5464	387	3	τr	τr	PUNCT
ejpam-5464	387	4	=	=	SYM
ejpam-5464	387	5	τl	τl	VERB
ejpam-5464	387	6	=	=	PUNCT
ejpam-5464	387	7	τu	τu	ADP
ejpam-5464	387	8	=	=	ADJ
ejpam-5464	387	9	τi	τi	ADJ
ejpam-5464	387	10	.	.	PUNCT
ejpam-5464	388	1	proof	proof	NOUN
ejpam-5464	388	2	.	.	PUNCT
ejpam-5464	389	1	let	let	VERB
ejpam-5464	389	2	ℵ	ℵ	NOUN
ejpam-5464	389	3	be	be	AUX
ejpam-5464	389	4	a	a	DET
ejpam-5464	389	5	symmetric	symmetric	ADJ
ejpam-5464	389	6	relation	relation	NOUN
ejpam-5464	389	7	and	and	CCONJ
ejpam-5464	389	8	b	b	NOUN
ejpam-5464	389	9	⊆	⊆	NUM
ejpam-5464	389	10	x.	x.	NOUN
ejpam-5464	389	11	then	then	ADV
ejpam-5464	389	12	,	,	PUNCT
ejpam-5464	389	13	nr(b	nr(b	X
ejpam-5464	389	14	)	)	PUNCT
ejpam-5464	389	15	=	=	SYM
ejpam-5464	389	16	nl(b	nl(b	X
ejpam-5464	389	17	)	)	PUNCT
ejpam-5464	389	18	=	=	SYM
ejpam-5464	389	19	nu(b	nu(b	X
ejpam-5464	389	20	)	)	PUNCT
ejpam-5464	389	21	=	=	NOUN
ejpam-5464	389	22	ni(b	ni(b	NUM
ejpam-5464	389	23	)	)	PUNCT
ejpam-5464	389	24	,	,	PUNCT
ejpam-5464	390	1	mnr(b	mnr(b	NOUN
ejpam-5464	390	2	)	)	PUNCT
ejpam-5464	390	3	=	=	SYM
ejpam-5464	390	4	mnl(b	mnl(b	PROPN
ejpam-5464	390	5	)	)	PUNCT
ejpam-5464	390	6	=	=	SYM
ejpam-5464	391	1	mnu(b	mnu(b	PROPN
ejpam-5464	391	2	)	)	PUNCT
ejpam-5464	391	3	=	=	SYM
ejpam-5464	391	4	mni(b	mni(b	PROPN
ejpam-5464	391	5	)	)	PUNCT
ejpam-5464	391	6	,	,	PUNCT
ejpam-5464	391	7	and	and	CCONJ
ejpam-5464	391	8	cmr(b	cmr(b	PROPN
ejpam-5464	391	9	)	)	PUNCT
ejpam-5464	391	10	=	=	SYM
ejpam-5464	391	11	cml(b	cml(b	NOUN
ejpam-5464	391	12	)	)	PUNCT
ejpam-5464	391	13	=	=	PUNCT
ejpam-5464	391	14	cmu(b	cmu(b	ADJ
ejpam-5464	391	15	)	)	PUNCT
ejpam-5464	391	16	=	=	SYM
ejpam-5464	391	17	cmi(b	cmi(b	PROPN
ejpam-5464	391	18	)	)	PUNCT
ejpam-5464	391	19	.	.	PUNCT
ejpam-5464	392	1	therefore	therefore	ADV
ejpam-5464	392	2	,	,	PUNCT
ejpam-5464	392	3	τr	τr	PUNCT
ejpam-5464	392	4	=	=	SYM
ejpam-5464	392	5	τl	τl	VERB
ejpam-5464	392	6	=	=	PUNCT
ejpam-5464	392	7	τu	τu	ADP
ejpam-5464	392	8	=	=	ADJ
ejpam-5464	392	9	τi	τi	PROPN
ejpam-5464	392	10	.	.	PUNCT
ejpam-5464	392	11	i.	i.	PROPN
ejpam-5464	392	12	shbair	shbair	PROPN
ejpam-5464	392	13	et	et	PROPN
ejpam-5464	392	14	al	al	PROPN
ejpam-5464	392	15	.	.	PUNCT
ejpam-5464	392	16	/	/	SYM
ejpam-5464	392	17	eur	eur	PROPN
ejpam-5464	392	18	.	.	PUNCT
ejpam-5464	393	1	j.	j.	PROPN
ejpam-5464	393	2	pure	pure	PROPN
ejpam-5464	393	3	appl	appl	PROPN
ejpam-5464	393	4	.	.	PROPN
ejpam-5464	393	5	math	math	PROPN
ejpam-5464	393	6	,	,	PUNCT
ejpam-5464	393	7	17	17	NUM
ejpam-5464	393	8	(	(	PUNCT
ejpam-5464	393	9	4	4	NUM
ejpam-5464	393	10	)	)	PUNCT
ejpam-5464	393	11	(	(	PUNCT
ejpam-5464	393	12	2024	2024	NUM
ejpam-5464	393	13	)	)	PUNCT
ejpam-5464	393	14	,	,	PUNCT
ejpam-5464	393	15	3567	3567	NUM
ejpam-5464	393	16	-	-	SYM
ejpam-5464	393	17	3584	3584	NUM
ejpam-5464	393	18	3579	3579	NUM
ejpam-5464	393	19	6	6	NUM
ejpam-5464	393	20	.	.	PUNCT
ejpam-5464	393	21	medical	medical	ADJ
ejpam-5464	393	22	applications	application	NOUN
ejpam-5464	393	23	:	:	PUNCT
ejpam-5464	393	24	human	human	ADJ
ejpam-5464	393	25	blood	blood	NOUN
ejpam-5464	393	26	circulation	circulation	NOUN
ejpam-5464	393	27	humans	human	NOUN
ejpam-5464	393	28	depend	depend	VERB
ejpam-5464	393	29	on	on	ADP
ejpam-5464	393	30	blood	blood	NOUN
ejpam-5464	393	31	circulation	circulation	NOUN
ejpam-5464	393	32	to	to	PART
ejpam-5464	393	33	deliver	deliver	VERB
ejpam-5464	393	34	nutrients	nutrient	NOUN
ejpam-5464	393	35	and	and	CCONJ
ejpam-5464	393	36	oxygen	oxygen	NOUN
ejpam-5464	393	37	to	to	ADP
ejpam-5464	393	38	all	all	DET
ejpam-5464	393	39	cells	cell	NOUN
ejpam-5464	393	40	of	of	ADP
ejpam-5464	393	41	the	the	DET
ejpam-5464	393	42	body	body	NOUN
ejpam-5464	393	43	.	.	PUNCT
ejpam-5464	394	1	the	the	DET
ejpam-5464	394	2	pulmonary	pulmonary	ADJ
ejpam-5464	394	3	circulation	circulation	NOUN
ejpam-5464	394	4	is	be	AUX
ejpam-5464	394	5	part	part	NOUN
ejpam-5464	394	6	of	of	ADP
ejpam-5464	394	7	the	the	DET
ejpam-5464	394	8	circulatory	circulatory	ADJ
ejpam-5464	394	9	system	system	NOUN
ejpam-5464	394	10	,	,	PUNCT
ejpam-5464	394	11	which	which	PRON
ejpam-5464	394	12	includes	include	VERB
ejpam-5464	394	13	the	the	DET
ejpam-5464	394	14	cardiovascular	cardiovascular	ADJ
ejpam-5464	394	15	system	system	NOUN
ejpam-5464	394	16	,	,	PUNCT
ejpam-5464	394	17	which	which	PRON
ejpam-5464	394	18	consists	consist	VERB
ejpam-5464	394	19	of	of	ADP
ejpam-5464	394	20	blood	blood	NOUN
ejpam-5464	394	21	vessels	vessel	NOUN
ejpam-5464	394	22	that	that	PRON
ejpam-5464	394	23	carry	carry	VERB
ejpam-5464	394	24	deoxygenated	deoxygenate	VERB
ejpam-5464	394	25	blood	blood	NOUN
ejpam-5464	394	26	from	from	ADP
ejpam-5464	394	27	the	the	DET
ejpam-5464	394	28	heart	heart	NOUN
ejpam-5464	394	29	to	to	ADP
ejpam-5464	394	30	the	the	DET
ejpam-5464	394	31	lungs	lung	NOUN
ejpam-5464	394	32	,	,	PUNCT
ejpam-5464	394	33	and	and	CCONJ
ejpam-5464	394	34	then	then	ADV
ejpam-5464	394	35	return	return	VERB
ejpam-5464	394	36	oxygenated	oxygenated	ADJ
ejpam-5464	394	37	blood	blood	NOUN
ejpam-5464	394	38	to	to	ADP
ejpam-5464	394	39	the	the	DET
ejpam-5464	394	40	heart	heart	NOUN
ejpam-5464	394	41	through	through	ADP
ejpam-5464	394	42	the	the	DET
ejpam-5464	394	43	right	right	ADJ
ejpam-5464	394	44	ventricle	ventricle	NOUN
ejpam-5464	394	45	again	again	ADV
ejpam-5464	394	46	.	.	PUNCT
ejpam-5464	395	1	this	this	PRON
ejpam-5464	395	2	is	be	AUX
ejpam-5464	395	3	contrary	contrary	ADJ
ejpam-5464	395	4	to	to	ADP
ejpam-5464	395	5	what	what	PRON
ejpam-5464	395	6	happens	happen	VERB
ejpam-5464	395	7	in	in	ADP
ejpam-5464	395	8	the	the	DET
ejpam-5464	395	9	greater	great	ADJ
ejpam-5464	395	10	blood	blood	NOUN
ejpam-5464	395	11	circulation	circulation	NOUN
ejpam-5464	395	12	.	.	PUNCT
ejpam-5464	396	1	deoxygenated	deoxygenate	VERB
ejpam-5464	396	2	blood	blood	NOUN
ejpam-5464	396	3	leaves	leave	VERB
ejpam-5464	396	4	the	the	DET
ejpam-5464	396	5	right	right	ADJ
ejpam-5464	396	6	part	part	NOUN
ejpam-5464	396	7	(	(	PUNCT
ejpam-5464	396	8	right	right	ADJ
ejpam-5464	396	9	ventricle	ventricle	NOUN
ejpam-5464	396	10	)	)	PUNCT
ejpam-5464	396	11	of	of	ADP
ejpam-5464	396	12	the	the	DET
ejpam-5464	396	13	heart	heart	NOUN
ejpam-5464	396	14	through	through	ADP
ejpam-5464	396	15	the	the	DET
ejpam-5464	396	16	pulmonary	pulmonary	ADJ
ejpam-5464	396	17	arteries	artery	NOUN
ejpam-5464	396	18	,	,	PUNCT
ejpam-5464	396	19	which	which	PRON
ejpam-5464	396	20	take	take	VERB
ejpam-5464	396	21	blood	blood	NOUN
ejpam-5464	396	22	to	to	ADP
ejpam-5464	396	23	the	the	DET
ejpam-5464	396	24	lungs	lung	NOUN
ejpam-5464	396	25	,	,	PUNCT
ejpam-5464	396	26	where	where	SCONJ
ejpam-5464	396	27	red	red	ADJ
ejpam-5464	396	28	blood	blood	NOUN
ejpam-5464	396	29	cells	cell	NOUN
ejpam-5464	396	30	release	release	VERB
ejpam-5464	396	31	carbon	carbon	NOUN
ejpam-5464	396	32	dioxide	dioxide	NOUN
ejpam-5464	396	33	and	and	CCONJ
ejpam-5464	396	34	combine	combine	VERB
ejpam-5464	396	35	with	with	ADP
ejpam-5464	396	36	oxygen	oxygen	NOUN
ejpam-5464	396	37	during	during	ADP
ejpam-5464	396	38	breathing	breathing	NOUN
ejpam-5464	396	39	.	.	PUNCT
ejpam-5464	397	1	the	the	DET
ejpam-5464	397	2	oxygenated	oxygenated	ADJ
ejpam-5464	397	3	blood	blood	NOUN
ejpam-5464	397	4	leaves	leave	VERB
ejpam-5464	397	5	the	the	DET
ejpam-5464	397	6	lungs	lung	NOUN
ejpam-5464	397	7	through	through	ADP
ejpam-5464	397	8	the	the	DET
ejpam-5464	397	9	pulmonary	pulmonary	ADJ
ejpam-5464	397	10	veins	vein	NOUN
ejpam-5464	397	11	,	,	PUNCT
ejpam-5464	397	12	which	which	PRON
ejpam-5464	397	13	drain	drain	VERB
ejpam-5464	397	14	into	into	ADP
ejpam-5464	397	15	the	the	DET
ejpam-5464	397	16	left	left	ADJ
ejpam-5464	397	17	part	part	NOUN
ejpam-5464	397	18	,	,	PUNCT
ejpam-5464	397	19	or	or	CCONJ
ejpam-5464	397	20	what	what	PRON
ejpam-5464	397	21	is	be	AUX
ejpam-5464	397	22	called	call	VERB
ejpam-5464	397	23	the	the	DET
ejpam-5464	397	24	left	left	ADJ
ejpam-5464	397	25	atrium	atrium	NOUN
ejpam-5464	397	26	of	of	ADP
ejpam-5464	397	27	the	the	DET
ejpam-5464	397	28	heart	heart	NOUN
ejpam-5464	397	29	,	,	PUNCT
ejpam-5464	397	30	thus	thus	ADV
ejpam-5464	397	31	completing	complete	VERB
ejpam-5464	397	32	the	the	DET
ejpam-5464	397	33	pulmonary	pulmonary	ADJ
ejpam-5464	397	34	circulation	circulation	NOUN
ejpam-5464	397	35	.	.	PUNCT
ejpam-5464	398	1	the	the	DET
ejpam-5464	398	2	blood	blood	NOUN
ejpam-5464	398	3	is	be	AUX
ejpam-5464	398	4	then	then	ADV
ejpam-5464	398	5	distributed	distribute	VERB
ejpam-5464	398	6	to	to	ADP
ejpam-5464	398	7	all	all	DET
ejpam-5464	398	8	parts	part	NOUN
ejpam-5464	398	9	of	of	ADP
ejpam-5464	398	10	the	the	DET
ejpam-5464	398	11	body	body	NOUN
ejpam-5464	398	12	through	through	ADP
ejpam-5464	398	13	the	the	DET
ejpam-5464	398	14	greater	great	ADJ
ejpam-5464	398	15	blood	blood	NOUN
ejpam-5464	398	16	circulation	circulation	NOUN
ejpam-5464	398	17	before	before	ADP
ejpam-5464	398	18	returning	return	VERB
ejpam-5464	398	19	again	again	ADV
ejpam-5464	398	20	to	to	ADP
ejpam-5464	398	21	the	the	DET
ejpam-5464	398	22	pulmonary	pulmonary	ADJ
ejpam-5464	398	23	circulation	circulation	NOUN
ejpam-5464	398	24	.	.	PUNCT
ejpam-5464	399	1	this	this	DET
ejpam-5464	399	2	effective	effective	ADJ
ejpam-5464	399	3	circulation	circulation	NOUN
ejpam-5464	399	4	system	system	NOUN
ejpam-5464	399	5	makes	make	VERB
ejpam-5464	399	6	sure	sure	ADJ
ejpam-5464	399	7	every	every	DET
ejpam-5464	399	8	cell	cell	NOUN
ejpam-5464	399	9	receives	receive	VERB
ejpam-5464	399	10	the	the	DET
ejpam-5464	399	11	nutrients	nutrient	NOUN
ejpam-5464	399	12	and	and	CCONJ
ejpam-5464	399	13	oxygen	oxygen	NOUN
ejpam-5464	399	14	they	they	PRON
ejpam-5464	399	15	require	require	VERB
ejpam-5464	399	16	while	while	SCONJ
ejpam-5464	399	17	also	also	ADV
ejpam-5464	399	18	eliminating	eliminate	VERB
ejpam-5464	399	19	waste	waste	NOUN
ejpam-5464	399	20	,	,	PUNCT
ejpam-5464	399	21	promoting	promote	VERB
ejpam-5464	399	22	general	general	ADJ
ejpam-5464	399	23	health	health	NOUN
ejpam-5464	399	24	and	and	CCONJ
ejpam-5464	399	25	organ	organ	NOUN
ejpam-5464	399	26	function	function	NOUN
ejpam-5464	399	27	.	.	PUNCT
ejpam-5464	400	1	graph	graph	NOUN
ejpam-5464	400	2	operators	operator	NOUN
ejpam-5464	400	3	were	be	AUX
ejpam-5464	400	4	used	use	VERB
ejpam-5464	400	5	to	to	PART
ejpam-5464	400	6	investigate	investigate	VERB
ejpam-5464	400	7	the	the	DET
ejpam-5464	400	8	topology	topology	NOUN
ejpam-5464	400	9	of	of	ADP
ejpam-5464	400	10	the	the	DET
ejpam-5464	400	11	human	human	ADJ
ejpam-5464	400	12	heart	heart	NOUN
ejpam-5464	400	13	[	[	X
ejpam-5464	400	14	5	5	NUM
ejpam-5464	400	15	,	,	PUNCT
ejpam-5464	400	16	23	23	NUM
ejpam-5464	400	17	]	]	PUNCT
ejpam-5464	400	18	.	.	PUNCT
ejpam-5464	401	1	nada	nada	PROPN
ejpam-5464	401	2	et	et	PROPN
ejpam-5464	401	3	al	al	PROPN
ejpam-5464	401	4	.	.	PUNCT
ejpam-5464	402	1	[	[	X
ejpam-5464	402	2	32	32	NUM
ejpam-5464	402	3	]	]	PUNCT
ejpam-5464	402	4	advanced	advance	VERB
ejpam-5464	402	5	their	their	PRON
ejpam-5464	402	6	study	study	NOUN
ejpam-5464	402	7	by	by	ADP
ejpam-5464	402	8	separating	separate	VERB
ejpam-5464	402	9	the	the	DET
ejpam-5464	402	10	heart	heart	NOUN
ejpam-5464	402	11	into	into	ADP
ejpam-5464	402	12	vertices	vertex	NOUN
ejpam-5464	402	13	and	and	CCONJ
ejpam-5464	402	14	edges	edge	NOUN
ejpam-5464	402	15	,	,	PUNCT
ejpam-5464	402	16	look	look	VERB
ejpam-5464	402	17	at	at	ADP
ejpam-5464	402	18	the	the	DET
ejpam-5464	402	19	shown	show	VERB
ejpam-5464	402	20	figure	figure	NOUN
ejpam-5464	402	21	2	2	NUM
ejpam-5464	402	22	.	.	PUNCT
ejpam-5464	402	23	using	use	VERB
ejpam-5464	402	24	this	this	DET
ejpam-5464	402	25	graph	graph	NOUN
ejpam-5464	402	26	,	,	PUNCT
ejpam-5464	402	27	they	they	PRON
ejpam-5464	402	28	created	create	VERB
ejpam-5464	402	29	a	a	DET
ejpam-5464	402	30	topological	topological	ADJ
ejpam-5464	402	31	structure	structure	NOUN
ejpam-5464	402	32	.	.	PUNCT
ejpam-5464	403	1	figure	figure	VERB
ejpam-5464	403	2	2	2	NUM
ejpam-5464	403	3	:	:	PUNCT
ejpam-5464	403	4	a	a	DET
ejpam-5464	403	5	digraph	digraph	ADJ
ejpam-5464	403	6	representation	representation	NOUN
ejpam-5464	403	7	of	of	ADP
ejpam-5464	403	8	the	the	DET
ejpam-5464	403	9	heart	heart	NOUN
ejpam-5464	403	10	in	in	ADP
ejpam-5464	403	11	humans	human	NOUN
ejpam-5464	403	12	.	.	PUNCT
ejpam-5464	404	1	we	we	PRON
ejpam-5464	404	2	are	be	AUX
ejpam-5464	404	3	exploring	explore	VERB
ejpam-5464	404	4	additional	additional	ADJ
ejpam-5464	404	5	cardiac	cardiac	ADJ
ejpam-5464	404	6	taxa	taxa	NOUN
ejpam-5464	404	7	using	use	VERB
ejpam-5464	404	8	core	core	NOUN
ejpam-5464	404	9	minimal	minimal	ADJ
ejpam-5464	404	10	right	right	NOUN
ejpam-5464	404	11	,	,	PUNCT
ejpam-5464	404	12	core	core	NOUN
ejpam-5464	404	13	minimal	minimal	ADJ
ejpam-5464	404	14	left	leave	VERB
ejpam-5464	404	15	,	,	PUNCT
ejpam-5464	404	16	core	core	NOUN
ejpam-5464	404	17	minimal	minimal	ADJ
ejpam-5464	404	18	union	union	NOUN
ejpam-5464	404	19	,	,	PUNCT
ejpam-5464	404	20	and	and	CCONJ
ejpam-5464	404	21	core	core	NOUN
ejpam-5464	404	22	minimal	minimal	ADJ
ejpam-5464	404	23	intersection	intersection	NOUN
ejpam-5464	404	24	neighborhoods	neighborhood	NOUN
ejpam-5464	404	25	.	.	PUNCT
ejpam-5464	405	1	these	these	DET
ejpam-5464	405	2	four	four	NUM
ejpam-5464	405	3	types	type	NOUN
ejpam-5464	405	4	can	can	AUX
ejpam-5464	405	5	be	be	AUX
ejpam-5464	405	6	used	use	VERB
ejpam-5464	405	7	to	to	PART
ejpam-5464	405	8	generate	generate	VERB
ejpam-5464	405	9	topologies	topology	NOUN
ejpam-5464	405	10	that	that	PRON
ejpam-5464	405	11	can	can	AUX
ejpam-5464	405	12	provide	provide	VERB
ejpam-5464	405	13	a	a	DET
ejpam-5464	405	14	decision	decision	NOUN
ejpam-5464	405	15	.	.	PUNCT
ejpam-5464	406	1	the	the	DET
ejpam-5464	406	2	graph	graph	NOUN
ejpam-5464	406	3	g	g	PROPN
ejpam-5464	406	4	=	=	SYM
ejpam-5464	406	5	(	(	PUNCT
ejpam-5464	406	6	v	v	NOUN
ejpam-5464	406	7	,	,	PUNCT
ejpam-5464	406	8	e	e	NOUN
ejpam-5464	406	9	)	)	PUNCT
ejpam-5464	406	10	has	have	AUX
ejpam-5464	406	11	vertices	vertex	NOUN
ejpam-5464	406	12	representing	represent	VERB
ejpam-5464	406	13	regions	region	NOUN
ejpam-5464	406	14	of	of	ADP
ejpam-5464	406	15	blood	blood	NOUN
ejpam-5464	406	16	flow	flow	NOUN
ejpam-5464	406	17	and	and	CCONJ
ejpam-5464	406	18	edges	edge	NOUN
ejpam-5464	406	19	representing	represent	VERB
ejpam-5464	406	20	paths	path	NOUN
ejpam-5464	406	21	throughout	throughout	ADP
ejpam-5464	406	22	the	the	DET
ejpam-5464	406	23	heart	heart	NOUN
ejpam-5464	406	24	.	.	PUNCT
ejpam-5464	407	1	specifically	specifically	ADV
ejpam-5464	407	2	,	,	PUNCT
ejpam-5464	407	3	vertices	vertice	VERB
ejpam-5464	407	4	ζ1	ζ1	NOUN
ejpam-5464	407	5	=	=	SYM
ejpam-5464	407	6	superior	superior	ADJ
ejpam-5464	407	7	vena	vena	NOUN
ejpam-5464	407	8	cavae	cavae	NOUN
ejpam-5464	407	9	,	,	PUNCT
ejpam-5464	407	10	ζ2	ζ2	NOUN
ejpam-5464	407	11	=	=	SYM
ejpam-5464	407	12	inferior	inferior	ADJ
ejpam-5464	407	13	vena	vena	NOUN
ejpam-5464	407	14	cavae	cavae	NOUN
ejpam-5464	407	15	,	,	PUNCT
ejpam-5464	407	16	ζ3	ζ3	NOUN
ejpam-5464	407	17	=	=	PUNCT
ejpam-5464	407	18	right	right	ADJ
ejpam-5464	407	19	atrium	atrium	NOUN
ejpam-5464	407	20	,	,	PUNCT
ejpam-5464	407	21	ζ4	ζ4	ADJ
ejpam-5464	407	22	=	=	SYM
ejpam-5464	407	23	right	right	ADJ
ejpam-5464	407	24	ventricle	ventricle	NOUN
ejpam-5464	407	25	,	,	PUNCT
ejpam-5464	407	26	ζ5	ζ5	NOUN
ejpam-5464	407	27	=	=	SYM
ejpam-5464	407	28	pulmonary	pulmonary	ADJ
ejpam-5464	407	29	trunk	trunk	NOUN
ejpam-5464	407	30	,	,	PUNCT
ejpam-5464	407	31	ζ6	ζ6	PROPN
ejpam-5464	407	32	=	=	SYM
ejpam-5464	407	33	right	right	ADJ
ejpam-5464	407	34	lung	lung	NOUN
ejpam-5464	407	35	,	,	PUNCT
ejpam-5464	407	36	ζ7	ζ7	NOUN
ejpam-5464	407	37	=	=	SYM
ejpam-5464	407	38	left	leave	VERB
ejpam-5464	407	39	lung	lung	NOUN
ejpam-5464	407	40	,	,	PUNCT
ejpam-5464	407	41	ζ8	ζ8	NOUN
ejpam-5464	407	42	=	=	SYM
ejpam-5464	407	43	left	leave	VERB
ejpam-5464	407	44	atrium	atrium	NOUN
ejpam-5464	407	45	,	,	PUNCT
ejpam-5464	407	46	ζ9	ζ9	NOUN
ejpam-5464	407	47	=	=	NOUN
ejpam-5464	407	48	left	leave	VERB
ejpam-5464	407	49	ventricle	ventricle	NOUN
ejpam-5464	407	50	,	,	PUNCT
ejpam-5464	407	51	and	and	CCONJ
ejpam-5464	407	52	ζ10	ζ10	ADJ
ejpam-5464	407	53	=	=	NOUN
ejpam-5464	407	54	aorta	aorta	NOUN
ejpam-5464	407	55	.	.	PUNCT
ejpam-5464	408	1	now	now	ADV
ejpam-5464	408	2	,	,	PUNCT
ejpam-5464	408	3	take	take	VERB
ejpam-5464	408	4	a	a	DET
ejpam-5464	408	5	set	set	NOUN
ejpam-5464	408	6	x	x	X
ejpam-5464	408	7	=	=	X
ejpam-5464	408	8	{	{	PUNCT
ejpam-5464	408	9	ζi	ζi	NOUN
ejpam-5464	408	10	:	:	SYM
ejpam-5464	408	11	1	1	NUM
ejpam-5464	408	12	⩽	⩽	NOUN
ejpam-5464	408	13	i	i	PRON
ejpam-5464	408	14	⩽	⩽	ADJ
ejpam-5464	408	15	10	10	NUM
ejpam-5464	408	16	}	}	PUNCT
ejpam-5464	408	17	and	and	CCONJ
ejpam-5464	408	18	find	find	VERB
ejpam-5464	408	19	core	core	NOUN
ejpam-5464	408	20	minimal	minimal	ADJ
ejpam-5464	408	21	right	right	NOUN
ejpam-5464	408	22	,	,	PUNCT
ejpam-5464	408	23	core	core	NOUN
ejpam-5464	408	24	minimal	minimal	ADJ
ejpam-5464	408	25	left	leave	VERB
ejpam-5464	408	26	,	,	PUNCT
ejpam-5464	408	27	core	core	NOUN
ejpam-5464	408	28	minimal	minimal	ADJ
ejpam-5464	408	29	union	union	NOUN
ejpam-5464	408	30	,	,	PUNCT
ejpam-5464	408	31	and	and	CCONJ
ejpam-5464	408	32	core	core	NOUN
ejpam-5464	408	33	minimal	minimal	ADJ
ejpam-5464	408	34	intersection	intersection	NOUN
ejpam-5464	408	35	neighborhoods	neighborhood	NOUN
ejpam-5464	408	36	for	for	ADP
ejpam-5464	408	37	each	each	DET
ejpam-5464	408	38	vertex	vertex	NOUN
ejpam-5464	408	39	in	in	ADP
ejpam-5464	408	40	figure	figure	NOUN
ejpam-5464	408	41	2	2	NUM
ejpam-5464	408	42	.	.	PUNCT
ejpam-5464	409	1	these	these	DET
ejpam-5464	409	2	neighborhoods	neighborhood	NOUN
ejpam-5464	409	3	are	be	AUX
ejpam-5464	409	4	presented	present	VERB
ejpam-5464	409	5	in	in	ADP
ejpam-5464	409	6	tables	table	NOUN
ejpam-5464	409	7	4	4	NUM
ejpam-5464	409	8	,	,	PUNCT
ejpam-5464	409	9	5	5	NUM
ejpam-5464	409	10	.	.	X
ejpam-5464	410	1	choose	choose	VERB
ejpam-5464	410	2	a	a	DET
ejpam-5464	410	3	subgraph	subgraph	NOUN
ejpam-5464	410	4	i.	i.	PROPN
ejpam-5464	410	5	shbair	shbair	PROPN
ejpam-5464	410	6	et	et	PROPN
ejpam-5464	410	7	al	al	PROPN
ejpam-5464	410	8	.	.	PUNCT
ejpam-5464	410	9	/	/	SYM
ejpam-5464	410	10	eur	eur	PROPN
ejpam-5464	410	11	.	.	PUNCT
ejpam-5464	411	1	j.	j.	PROPN
ejpam-5464	411	2	pure	pure	PROPN
ejpam-5464	411	3	appl	appl	PROPN
ejpam-5464	411	4	.	.	PROPN
ejpam-5464	411	5	math	math	PROPN
ejpam-5464	411	6	,	,	PUNCT
ejpam-5464	411	7	17	17	NUM
ejpam-5464	411	8	(	(	PUNCT
ejpam-5464	411	9	4	4	NUM
ejpam-5464	411	10	)	)	PUNCT
ejpam-5464	411	11	(	(	PUNCT
ejpam-5464	411	12	2024	2024	NUM
ejpam-5464	411	13	)	)	PUNCT
ejpam-5464	411	14	,	,	PUNCT
ejpam-5464	411	15	3567	3567	NUM
ejpam-5464	411	16	-	-	SYM
ejpam-5464	411	17	3584	3584	NUM
ejpam-5464	411	18	3580	3580	NUM
ejpam-5464	411	19	b	b	NOUN
ejpam-5464	411	20	=	=	PUNCT
ejpam-5464	411	21	{	{	PUNCT
ejpam-5464	411	22	ζ2	ζ2	NOUN
ejpam-5464	411	23	,	,	PUNCT
ejpam-5464	411	24	ζ3	ζ3	NOUN
ejpam-5464	411	25	,	,	PUNCT
ejpam-5464	411	26	ζ7	ζ7	NOUN
ejpam-5464	411	27	ζ8	ζ8	NOUN
ejpam-5464	411	28	,	,	PUNCT
ejpam-5464	411	29	ζ9	ζ9	NOUN
ejpam-5464	411	30	}	}	PUNCT
ejpam-5464	411	31	of	of	ADP
ejpam-5464	411	32	a	a	DET
ejpam-5464	411	33	graph	graph	NOUN
ejpam-5464	411	34	say	say	VERB
ejpam-5464	411	35	g	g	PROPN
ejpam-5464	411	36	a	a	DET
ejpam-5464	411	37	human	human	ADJ
ejpam-5464	411	38	heart	heart	NOUN
ejpam-5464	411	39	.	.	PUNCT
ejpam-5464	412	1	ξ	ξ	X
ejpam-5464	412	2	nr(ξ	nr(ξ	NUM
ejpam-5464	412	3	)	)	PUNCT
ejpam-5464	412	4	nl(ξ	nl(ξ	NOUN
ejpam-5464	412	5	)	)	PUNCT
ejpam-5464	412	6	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	412	7	)	)	PUNCT
ejpam-5464	412	8	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	412	9	)	)	PUNCT
ejpam-5464	412	10	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	412	11	)	)	PUNCT
ejpam-5464	412	12	cml(ξ	cml(ξ	PROPN
ejpam-5464	412	13	)	)	PUNCT
ejpam-5464	412	14	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	412	15	)	)	PUNCT
ejpam-5464	412	16	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	412	17	)	)	PUNCT
ejpam-5464	412	18	ζ1	ζ1	PROPN
ejpam-5464	412	19	{	{	PUNCT
ejpam-5464	412	20	ζ3	ζ3	NOUN
ejpam-5464	412	21	}	}	PUNCT
ejpam-5464	412	22	ϕ	ϕ	PROPN
ejpam-5464	412	23	ϕ	ϕ	X
ejpam-5464	412	24	{	{	PUNCT
ejpam-5464	412	25	ζ1	ζ1	NOUN
ejpam-5464	412	26	,	,	PUNCT
ejpam-5464	412	27	ζ2	ζ2	NOUN
ejpam-5464	412	28	}	}	PUNCT
ejpam-5464	412	29	{	{	PUNCT
ejpam-5464	412	30	ζ1	ζ1	NOUN
ejpam-5464	412	31	,	,	PUNCT
ejpam-5464	412	32	ζ2	ζ2	NOUN
ejpam-5464	412	33	}	}	PUNCT
ejpam-5464	412	34	{	{	PUNCT
ejpam-5464	412	35	ζ1	ζ1	NOUN
ejpam-5464	412	36	,	,	PUNCT
ejpam-5464	412	37	ζ2	ζ2	NOUN
ejpam-5464	412	38	}	}	PUNCT
ejpam-5464	412	39	{	{	PUNCT
ejpam-5464	412	40	ζ1	ζ1	NOUN
ejpam-5464	412	41	,	,	PUNCT
ejpam-5464	412	42	ζ2	ζ2	NOUN
ejpam-5464	412	43	}	}	PUNCT
ejpam-5464	412	44	{	{	PUNCT
ejpam-5464	412	45	ζ1	ζ1	NOUN
ejpam-5464	412	46	,	,	PUNCT
ejpam-5464	412	47	ζ2	ζ2	NOUN
ejpam-5464	412	48	}	}	PUNCT
ejpam-5464	412	49	ζ2	ζ2	NOUN
ejpam-5464	412	50	{	{	PUNCT
ejpam-5464	412	51	ζ3	ζ3	NOUN
ejpam-5464	412	52	}	}	PUNCT
ejpam-5464	412	53	ϕ	ϕ	PROPN
ejpam-5464	412	54	ϕ	ϕ	X
ejpam-5464	412	55	{	{	PUNCT
ejpam-5464	412	56	ζ1	ζ1	NOUN
ejpam-5464	412	57	,	,	PUNCT
ejpam-5464	412	58	ζ2	ζ2	NOUN
ejpam-5464	412	59	}	}	PUNCT
ejpam-5464	412	60	{	{	PUNCT
ejpam-5464	412	61	ζ1	ζ1	NOUN
ejpam-5464	412	62	,	,	PUNCT
ejpam-5464	412	63	ζ2	ζ2	NOUN
ejpam-5464	412	64	}	}	PUNCT
ejpam-5464	412	65	{	{	PUNCT
ejpam-5464	412	66	ζ1	ζ1	NOUN
ejpam-5464	412	67	,	,	PUNCT
ejpam-5464	412	68	ζ2	ζ2	NOUN
ejpam-5464	412	69	}	}	PUNCT
ejpam-5464	412	70	{	{	PUNCT
ejpam-5464	412	71	ζ1	ζ1	NOUN
ejpam-5464	412	72	,	,	PUNCT
ejpam-5464	412	73	ζ2	ζ2	NOUN
ejpam-5464	412	74	}	}	PUNCT
ejpam-5464	412	75	{	{	PUNCT
ejpam-5464	412	76	ζ1	ζ1	NOUN
ejpam-5464	412	77	,	,	PUNCT
ejpam-5464	412	78	ζ2	ζ2	NOUN
ejpam-5464	412	79	}	}	PUNCT
ejpam-5464	412	80	ζ3	ζ3	NOUN
ejpam-5464	412	81	{	{	PUNCT
ejpam-5464	412	82	ζ4	ζ4	PROPN
ejpam-5464	412	83	}	}	PUNCT
ejpam-5464	412	84	{	{	PUNCT
ejpam-5464	412	85	ζ1	ζ1	NOUN
ejpam-5464	412	86	,	,	PUNCT
ejpam-5464	412	87	ζ2	ζ2	NOUN
ejpam-5464	412	88	}	}	PUNCT
ejpam-5464	412	89	{	{	PUNCT
ejpam-5464	412	90	ζ3	ζ3	NOUN
ejpam-5464	412	91	}	}	PUNCT
ejpam-5464	412	92	{	{	PUNCT
ejpam-5464	412	93	ζ3	ζ3	NOUN
ejpam-5464	412	94	}	}	PUNCT
ejpam-5464	412	95	{	{	PUNCT
ejpam-5464	412	96	ζ3	ζ3	NOUN
ejpam-5464	412	97	}	}	PUNCT
ejpam-5464	412	98	{	{	PUNCT
ejpam-5464	412	99	ζ3	ζ3	NOUN
ejpam-5464	412	100	}	}	PUNCT
ejpam-5464	412	101	{	{	PUNCT
ejpam-5464	412	102	ζ3	ζ3	NOUN
ejpam-5464	412	103	}	}	PUNCT
ejpam-5464	412	104	{	{	PUNCT
ejpam-5464	412	105	ζ3	ζ3	NOUN
ejpam-5464	412	106	}	}	PUNCT
ejpam-5464	412	107	ζ4	ζ4	NOUN
ejpam-5464	412	108	{	{	PUNCT
ejpam-5464	412	109	ζ5	ζ5	PROPN
ejpam-5464	412	110	}	}	PUNCT
ejpam-5464	412	111	{	{	PUNCT
ejpam-5464	412	112	ζ3	ζ3	NOUN
ejpam-5464	412	113	}	}	PUNCT
ejpam-5464	412	114	{	{	PUNCT
ejpam-5464	412	115	ζ4	ζ4	ADJ
ejpam-5464	412	116	}	}	PUNCT
ejpam-5464	412	117	{	{	PUNCT
ejpam-5464	412	118	ζ4	ζ4	ADJ
ejpam-5464	412	119	}	}	PUNCT
ejpam-5464	412	120	{	{	PUNCT
ejpam-5464	412	121	ζ4	ζ4	ADJ
ejpam-5464	412	122	}	}	PUNCT
ejpam-5464	412	123	{	{	PUNCT
ejpam-5464	412	124	ζ4	ζ4	ADJ
ejpam-5464	412	125	}	}	PUNCT
ejpam-5464	412	126	{	{	PUNCT
ejpam-5464	412	127	ζ4	ζ4	ADJ
ejpam-5464	412	128	}	}	PUNCT
ejpam-5464	412	129	{	{	PUNCT
ejpam-5464	412	130	ζ4	ζ4	ADJ
ejpam-5464	412	131	}	}	PUNCT
ejpam-5464	412	132	ζ5	ζ5	ADV
ejpam-5464	412	133	{	{	PUNCT
ejpam-5464	412	134	ζ6	ζ6	VERB
ejpam-5464	412	135	,	,	PUNCT
ejpam-5464	412	136	ζ7	ζ7	VERB
ejpam-5464	412	137	}	}	PUNCT
ejpam-5464	412	138	{	{	PUNCT
ejpam-5464	412	139	ζ4	ζ4	PROPN
ejpam-5464	412	140	}	}	PUNCT
ejpam-5464	412	141	{	{	PUNCT
ejpam-5464	412	142	ζ5	ζ5	ADV
ejpam-5464	412	143	}	}	PUNCT
ejpam-5464	412	144	{	{	PUNCT
ejpam-5464	412	145	ζ5	ζ5	ADV
ejpam-5464	412	146	}	}	PUNCT
ejpam-5464	412	147	{	{	PUNCT
ejpam-5464	412	148	ζ5	ζ5	ADV
ejpam-5464	412	149	}	}	PUNCT
ejpam-5464	412	150	{	{	PUNCT
ejpam-5464	412	151	ζ5	ζ5	ADV
ejpam-5464	412	152	}	}	PUNCT
ejpam-5464	412	153	{	{	PUNCT
ejpam-5464	412	154	ζ5	ζ5	ADV
ejpam-5464	412	155	}	}	PUNCT
ejpam-5464	412	156	{	{	PUNCT
ejpam-5464	412	157	ζ5	ζ5	ADV
ejpam-5464	412	158	}	}	PUNCT
ejpam-5464	412	159	ζ6	ζ6	PROPN
ejpam-5464	412	160	{	{	PUNCT
ejpam-5464	412	161	ζ8	ζ8	NOUN
ejpam-5464	412	162	}	}	PUNCT
ejpam-5464	412	163	{	{	PUNCT
ejpam-5464	412	164	ζ5	ζ5	ADV
ejpam-5464	412	165	}	}	PUNCT
ejpam-5464	412	166	{	{	PUNCT
ejpam-5464	412	167	ζ6	ζ6	VERB
ejpam-5464	412	168	,	,	PUNCT
ejpam-5464	412	169	ζ7	ζ7	VERB
ejpam-5464	412	170	}	}	PUNCT
ejpam-5464	412	171	{	{	PUNCT
ejpam-5464	412	172	ζ6	ζ6	VERB
ejpam-5464	412	173	,	,	PUNCT
ejpam-5464	412	174	ζ7	ζ7	VERB
ejpam-5464	412	175	}	}	PUNCT
ejpam-5464	412	176	{	{	PUNCT
ejpam-5464	412	177	ζ6	ζ6	VERB
ejpam-5464	412	178	,	,	PUNCT
ejpam-5464	412	179	ζ7	ζ7	VERB
ejpam-5464	412	180	}	}	PUNCT
ejpam-5464	412	181	{	{	PUNCT
ejpam-5464	412	182	ζ6	ζ6	VERB
ejpam-5464	412	183	,	,	PUNCT
ejpam-5464	412	184	ζ7	ζ7	VERB
ejpam-5464	412	185	}	}	PUNCT
ejpam-5464	412	186	{	{	PUNCT
ejpam-5464	412	187	ζ6	ζ6	VERB
ejpam-5464	412	188	,	,	PUNCT
ejpam-5464	412	189	ζ7	ζ7	VERB
ejpam-5464	412	190	}	}	PUNCT
ejpam-5464	412	191	{	{	PUNCT
ejpam-5464	412	192	ζ6	ζ6	VERB
ejpam-5464	412	193	,	,	PUNCT
ejpam-5464	412	194	ζ7	ζ7	VERB
ejpam-5464	412	195	}	}	PUNCT
ejpam-5464	412	196	ζ7	ζ7	VERB
ejpam-5464	412	197	{	{	PUNCT
ejpam-5464	412	198	ζ8	ζ8	NOUN
ejpam-5464	412	199	}	}	PUNCT
ejpam-5464	412	200	{	{	PUNCT
ejpam-5464	412	201	ζ5	ζ5	ADV
ejpam-5464	412	202	}	}	PUNCT
ejpam-5464	412	203	{	{	PUNCT
ejpam-5464	412	204	ζ6	ζ6	VERB
ejpam-5464	412	205	,	,	PUNCT
ejpam-5464	412	206	ζ7	ζ7	VERB
ejpam-5464	412	207	}	}	PUNCT
ejpam-5464	412	208	{	{	PUNCT
ejpam-5464	412	209	ζ6	ζ6	VERB
ejpam-5464	412	210	,	,	PUNCT
ejpam-5464	412	211	ζ7	ζ7	VERB
ejpam-5464	412	212	}	}	PUNCT
ejpam-5464	412	213	{	{	PUNCT
ejpam-5464	412	214	ζ6	ζ6	VERB
ejpam-5464	412	215	,	,	PUNCT
ejpam-5464	412	216	ζ7	ζ7	VERB
ejpam-5464	412	217	}	}	PUNCT
ejpam-5464	412	218	{	{	PUNCT
ejpam-5464	412	219	ζ6	ζ6	VERB
ejpam-5464	412	220	,	,	PUNCT
ejpam-5464	412	221	ζ7	ζ7	VERB
ejpam-5464	412	222	}	}	PUNCT
ejpam-5464	412	223	{	{	PUNCT
ejpam-5464	412	224	ζ6	ζ6	VERB
ejpam-5464	412	225	,	,	PUNCT
ejpam-5464	412	226	ζ7	ζ7	VERB
ejpam-5464	412	227	}	}	PUNCT
ejpam-5464	412	228	{	{	PUNCT
ejpam-5464	412	229	ζ6	ζ6	VERB
ejpam-5464	412	230	,	,	PUNCT
ejpam-5464	412	231	ζ7	ζ7	VERB
ejpam-5464	412	232	}	}	PUNCT
ejpam-5464	412	233	ζ8	ζ8	NOUN
ejpam-5464	412	234	{	{	PUNCT
ejpam-5464	412	235	ζ9	ζ9	NOUN
ejpam-5464	412	236	}	}	PUNCT
ejpam-5464	412	237	{	{	PUNCT
ejpam-5464	412	238	ζ6	ζ6	VERB
ejpam-5464	412	239	,	,	PUNCT
ejpam-5464	412	240	ζ7	ζ7	VERB
ejpam-5464	412	241	}	}	PUNCT
ejpam-5464	412	242	{	{	PUNCT
ejpam-5464	412	243	ζ8	ζ8	NOUN
ejpam-5464	412	244	}	}	PUNCT
ejpam-5464	412	245	{	{	PUNCT
ejpam-5464	412	246	ζ8	ζ8	NOUN
ejpam-5464	412	247	}	}	PUNCT
ejpam-5464	412	248	{	{	PUNCT
ejpam-5464	412	249	ζ8	ζ8	NOUN
ejpam-5464	412	250	}	}	PUNCT
ejpam-5464	412	251	{	{	PUNCT
ejpam-5464	412	252	ζ8	ζ8	NOUN
ejpam-5464	412	253	}	}	PUNCT
ejpam-5464	412	254	{	{	PUNCT
ejpam-5464	412	255	ζ8	ζ8	NOUN
ejpam-5464	412	256	}	}	PUNCT
ejpam-5464	412	257	{	{	PUNCT
ejpam-5464	412	258	ζ8	ζ8	NOUN
ejpam-5464	412	259	}	}	PUNCT
ejpam-5464	412	260	ζ9	ζ9	NOUN
ejpam-5464	412	261	{	{	PUNCT
ejpam-5464	412	262	ζ10	ζ10	NOUN
ejpam-5464	412	263	}	}	PUNCT
ejpam-5464	412	264	{	{	PUNCT
ejpam-5464	412	265	ζ8	ζ8	NOUN
ejpam-5464	412	266	}	}	PUNCT
ejpam-5464	412	267	{	{	PUNCT
ejpam-5464	412	268	ζ9	ζ9	NOUN
ejpam-5464	412	269	}	}	PUNCT
ejpam-5464	412	270	{	{	PUNCT
ejpam-5464	412	271	ζ9	ζ9	NOUN
ejpam-5464	412	272	}	}	PUNCT
ejpam-5464	412	273	{	{	PUNCT
ejpam-5464	412	274	ζ9	ζ9	NOUN
ejpam-5464	412	275	}	}	PUNCT
ejpam-5464	412	276	{	{	PUNCT
ejpam-5464	412	277	ζ9	ζ9	NOUN
ejpam-5464	412	278	}	}	PUNCT
ejpam-5464	412	279	{	{	PUNCT
ejpam-5464	412	280	ζ9	ζ9	NOUN
ejpam-5464	412	281	}	}	PUNCT
ejpam-5464	412	282	{	{	PUNCT
ejpam-5464	412	283	ζ9	ζ9	NOUN
ejpam-5464	412	284	}	}	PUNCT
ejpam-5464	412	285	ζ10	ζ10	NOUN
ejpam-5464	412	286	ϕ	ϕ	X
ejpam-5464	412	287	{	{	PUNCT
ejpam-5464	412	288	ζ9	ζ9	NOUN
ejpam-5464	412	289	}	}	PUNCT
ejpam-5464	412	290	{	{	PUNCT
ejpam-5464	412	291	ζ10	ζ10	PROPN
ejpam-5464	412	292	}	}	PUNCT
ejpam-5464	412	293	ϕ	ϕ	PROPN
ejpam-5464	412	294	{	{	PUNCT
ejpam-5464	412	295	ζ10	ζ10	PROPN
ejpam-5464	412	296	}	}	PUNCT
ejpam-5464	412	297	{	{	PUNCT
ejpam-5464	412	298	ζ10	ζ10	PROPN
ejpam-5464	412	299	}	}	PUNCT
ejpam-5464	412	300	{	{	PUNCT
ejpam-5464	412	301	ζ10	ζ10	PROPN
ejpam-5464	412	302	}	}	PUNCT
ejpam-5464	412	303	{	{	PUNCT
ejpam-5464	412	304	ζ10	ζ10	ADJ
ejpam-5464	412	305	}	}	PUNCT
ejpam-5464	412	306	table	table	NOUN
ejpam-5464	412	307	4	4	NUM
ejpam-5464	412	308	:	:	PUNCT
ejpam-5464	412	309	cmj	cmj	NOUN
ejpam-5464	412	310	for	for	ADP
ejpam-5464	412	311	ζi	ζi	PROPN
ejpam-5464	412	312	∈	∈	PROPN
ejpam-5464	412	313	x	x	X
ejpam-5464	412	314	and	and	CCONJ
ejpam-5464	412	315	j	j	PROPN
ejpam-5464	412	316	∈	∈	PROPN
ejpam-5464	412	317	j.	j.	PROPN
ejpam-5464	412	318	ξ	ξ	PROPN
ejpam-5464	412	319	nr(ξ	nr(ξ	NUM
ejpam-5464	412	320	)	)	PUNCT
ejpam-5464	412	321	nl(ξ	nl(ξ	NOUN
ejpam-5464	412	322	)	)	PUNCT
ejpam-5464	412	323	mnr(ξ	mnr(ξ	PROPN
ejpam-5464	412	324	)	)	PUNCT
ejpam-5464	412	325	mnl(ξ	mnl(ξ	PROPN
ejpam-5464	412	326	)	)	PUNCT
ejpam-5464	412	327	cmr(ξ	cmr(ξ	PROPN
ejpam-5464	412	328	)	)	PUNCT
ejpam-5464	412	329	cml(ξ	cml(ξ	PROPN
ejpam-5464	412	330	)	)	PUNCT
ejpam-5464	412	331	cmu(ξ	cmu(ξ	NOUN
ejpam-5464	412	332	)	)	PUNCT
ejpam-5464	412	333	cmi(ξ	cmi(ξ	NOUN
ejpam-5464	412	334	)	)	PUNCT
ejpam-5464	412	335	ζ2	ζ2	NOUN
ejpam-5464	412	336	{	{	PUNCT
ejpam-5464	412	337	ζ3	ζ3	NOUN
ejpam-5464	412	338	}	}	PUNCT
ejpam-5464	412	339	ϕ	ϕ	PROPN
ejpam-5464	412	340	ϕ	ϕ	X
ejpam-5464	412	341	{	{	PUNCT
ejpam-5464	412	342	ζ2	ζ2	NOUN
ejpam-5464	412	343	}	}	PUNCT
ejpam-5464	412	344	{	{	PUNCT
ejpam-5464	412	345	ζ2	ζ2	NOUN
ejpam-5464	412	346	,	,	PUNCT
ejpam-5464	412	347	ζ7	ζ7	VERB
ejpam-5464	412	348	}	}	PUNCT
ejpam-5464	412	349	{	{	PUNCT
ejpam-5464	412	350	ζ2	ζ2	NOUN
ejpam-5464	412	351	}	}	PUNCT
ejpam-5464	412	352	{	{	PUNCT
ejpam-5464	412	353	ζ2	ζ2	NOUN
ejpam-5464	412	354	,	,	PUNCT
ejpam-5464	412	355	ζ7	ζ7	VERB
ejpam-5464	412	356	}	}	PUNCT
ejpam-5464	412	357	{	{	PUNCT
ejpam-5464	412	358	ζ2	ζ2	NOUN
ejpam-5464	412	359	}	}	PUNCT
ejpam-5464	412	360	ζ3	ζ3	NOUN
ejpam-5464	412	361	ϕ	ϕ	PROPN
ejpam-5464	412	362	{	{	PUNCT
ejpam-5464	412	363	ζ2	ζ2	NOUN
ejpam-5464	412	364	}	}	PUNCT
ejpam-5464	412	365	{	{	PUNCT
ejpam-5464	412	366	ζ3	ζ3	NOUN
ejpam-5464	412	367	}	}	PUNCT
ejpam-5464	412	368	ϕ	ϕ	X
ejpam-5464	412	369	{	{	PUNCT
ejpam-5464	412	370	ζ3	ζ3	NOUN
ejpam-5464	412	371	}	}	PUNCT
ejpam-5464	412	372	{	{	PUNCT
ejpam-5464	412	373	ζ3	ζ3	NOUN
ejpam-5464	412	374	,	,	PUNCT
ejpam-5464	412	375	ζ9	ζ9	NOUN
ejpam-5464	412	376	}	}	PUNCT
ejpam-5464	412	377	{	{	PUNCT
ejpam-5464	412	378	ζ3	ζ3	NOUN
ejpam-5464	412	379	,	,	PUNCT
ejpam-5464	412	380	ζ9	ζ9	NOUN
ejpam-5464	412	381	}	}	PUNCT
ejpam-5464	412	382	{	{	PUNCT
ejpam-5464	412	383	ζ3	ζ3	NOUN
ejpam-5464	412	384	}	}	PUNCT
ejpam-5464	412	385	ζ7	ζ7	NOUN
ejpam-5464	412	386	{	{	PUNCT
ejpam-5464	412	387	ζ8	ζ8	NOUN
ejpam-5464	412	388	}	}	PUNCT
ejpam-5464	412	389	ϕ	ϕ	PROPN
ejpam-5464	412	390	ϕ	ϕ	X
ejpam-5464	412	391	{	{	PUNCT
ejpam-5464	412	392	ζ7	ζ7	PROPN
ejpam-5464	412	393	}	}	PUNCT
ejpam-5464	412	394	{	{	PUNCT
ejpam-5464	412	395	ζ2	ζ2	NOUN
ejpam-5464	412	396	,	,	PUNCT
ejpam-5464	412	397	ζ7	ζ7	VERB
ejpam-5464	412	398	}	}	PUNCT
ejpam-5464	412	399	{	{	PUNCT
ejpam-5464	412	400	ζ7	ζ7	PROPN
ejpam-5464	412	401	}	}	PUNCT
ejpam-5464	412	402	{	{	PUNCT
ejpam-5464	412	403	ζ2	ζ2	NOUN
ejpam-5464	412	404	,	,	PUNCT
ejpam-5464	412	405	ζ7	ζ7	VERB
ejpam-5464	412	406	}	}	PUNCT
ejpam-5464	412	407	{	{	PUNCT
ejpam-5464	412	408	ζ7	ζ7	PROPN
ejpam-5464	412	409	}	}	PUNCT
ejpam-5464	412	410	ζ8	ζ8	NOUN
ejpam-5464	412	411	{	{	PUNCT
ejpam-5464	412	412	ζ9	ζ9	NOUN
ejpam-5464	412	413	}	}	PUNCT
ejpam-5464	412	414	{	{	PUNCT
ejpam-5464	412	415	ζ7	ζ7	PROPN
ejpam-5464	412	416	}	}	PUNCT
ejpam-5464	412	417	{	{	PUNCT
ejpam-5464	412	418	ζ8	ζ8	NOUN
ejpam-5464	412	419	}	}	PUNCT
ejpam-5464	412	420	{	{	PUNCT
ejpam-5464	412	421	ζ8	ζ8	NOUN
ejpam-5464	412	422	}	}	PUNCT
ejpam-5464	412	423	{	{	PUNCT
ejpam-5464	412	424	ζ8	ζ8	NOUN
ejpam-5464	412	425	}	}	PUNCT
ejpam-5464	412	426	{	{	PUNCT
ejpam-5464	412	427	ζ8	ζ8	NOUN
ejpam-5464	412	428	}	}	PUNCT
ejpam-5464	412	429	{	{	PUNCT
ejpam-5464	412	430	ζ8	ζ8	NOUN
ejpam-5464	412	431	}	}	PUNCT
ejpam-5464	412	432	{	{	PUNCT
ejpam-5464	412	433	ζ8	ζ8	NOUN
ejpam-5464	412	434	}	}	PUNCT
ejpam-5464	412	435	ζ9	ζ9	NOUN
ejpam-5464	412	436	ϕ	ϕ	NOUN
ejpam-5464	412	437	{	{	PUNCT
ejpam-5464	412	438	ζ8	ζ8	NOUN
ejpam-5464	412	439	}	}	PUNCT
ejpam-5464	412	440	{	{	PUNCT
ejpam-5464	412	441	ζ9	ζ9	NOUN
ejpam-5464	412	442	}	}	PUNCT
ejpam-5464	412	443	ϕ	ϕ	X
ejpam-5464	412	444	{	{	PUNCT
ejpam-5464	412	445	ζ9	ζ9	NOUN
ejpam-5464	412	446	}	}	PUNCT
ejpam-5464	412	447	{	{	PUNCT
ejpam-5464	412	448	ζ3	ζ3	NOUN
ejpam-5464	412	449	,	,	PUNCT
ejpam-5464	412	450	ζ9	ζ9	NOUN
ejpam-5464	412	451	}	}	PUNCT
ejpam-5464	412	452	{	{	PUNCT
ejpam-5464	412	453	ζ3	ζ3	NOUN
ejpam-5464	412	454	,	,	PUNCT
ejpam-5464	412	455	ζ9	ζ9	NOUN
ejpam-5464	412	456	}	}	PUNCT
ejpam-5464	412	457	{	{	PUNCT
ejpam-5464	412	458	ζ9	ζ9	NOUN
ejpam-5464	412	459	}	}	PUNCT
ejpam-5464	412	460	table	table	NOUN
ejpam-5464	412	461	5	5	NUM
ejpam-5464	412	462	:	:	PUNCT
ejpam-5464	412	463	cmj	cmj	NOUN
ejpam-5464	412	464	for	for	ADP
ejpam-5464	412	465	ζi	ζi	PROPN
ejpam-5464	412	466	∈	∈	PROPN
ejpam-5464	412	467	b	b	PROPN
ejpam-5464	412	468	and	and	CCONJ
ejpam-5464	412	469	j	j	PROPN
ejpam-5464	412	470	∈	∈	PROPN
ejpam-5464	413	1	j.	j.	PROPN
ejpam-5464	414	1	we	we	PRON
ejpam-5464	414	2	examine	examine	VERB
ejpam-5464	414	3	the	the	DET
ejpam-5464	414	4	topologies	topology	NOUN
ejpam-5464	414	5	on	on	ADP
ejpam-5464	414	6	a	a	DET
ejpam-5464	414	7	subgraph	subgraph	NOUN
ejpam-5464	414	8	b	b	NOUN
ejpam-5464	414	9	as	as	SCONJ
ejpam-5464	414	10	follows	follow	VERB
ejpam-5464	414	11	:	:	PUNCT
ejpam-5464	414	12	i	i	NOUN
ejpam-5464	414	13	)	)	PUNCT
ejpam-5464	414	14	τr	τr	PUNCT
ejpam-5464	415	1	=	=	PRON
ejpam-5464	415	2	{	{	PUNCT
ejpam-5464	415	3	b	b	PROPN
ejpam-5464	415	4	,	,	PUNCT
ejpam-5464	415	5	ϕ	ϕ	NOUN
ejpam-5464	415	6	,	,	PUNCT
ejpam-5464	415	7	{	{	PUNCT
ejpam-5464	415	8	ζ3	ζ3	NOUN
ejpam-5464	415	9	}	}	PUNCT
ejpam-5464	415	10	,	,	PUNCT
ejpam-5464	415	11	{	{	PUNCT
ejpam-5464	415	12	ζ8	ζ8	NOUN
ejpam-5464	415	13	}	}	PUNCT
ejpam-5464	415	14	,	,	PUNCT
ejpam-5464	415	15	{	{	PUNCT
ejpam-5464	415	16	ζ9	ζ9	NOUN
ejpam-5464	415	17	}	}	PUNCT
ejpam-5464	415	18	,	,	PUNCT
ejpam-5464	415	19	{	{	PUNCT
ejpam-5464	415	20	ζ2	ζ2	NOUN
ejpam-5464	415	21	,	,	PUNCT
ejpam-5464	415	22	ζ7	ζ7	VERB
ejpam-5464	415	23	}	}	PUNCT
ejpam-5464	415	24	,	,	PUNCT
ejpam-5464	415	25	{	{	PUNCT
ejpam-5464	415	26	ζ3	ζ3	NOUN
ejpam-5464	415	27	,	,	PUNCT
ejpam-5464	415	28	ζ8	ζ8	NOUN
ejpam-5464	415	29	}	}	PUNCT
ejpam-5464	415	30	,	,	PUNCT
ejpam-5464	415	31	{	{	PUNCT
ejpam-5464	415	32	ζ3	ζ3	NOUN
ejpam-5464	415	33	,	,	PUNCT
ejpam-5464	415	34	ζ9	ζ9	NOUN
ejpam-5464	415	35	}	}	PUNCT
ejpam-5464	415	36	,	,	PUNCT
ejpam-5464	415	37	{	{	PUNCT
ejpam-5464	415	38	ζ8	ζ8	NOUN
ejpam-5464	415	39	,	,	PUNCT
ejpam-5464	415	40	ζ9	ζ9	NOUN
ejpam-5464	415	41	}	}	PUNCT
ejpam-5464	415	42	,	,	PUNCT
ejpam-5464	415	43	{	{	PUNCT
ejpam-5464	415	44	ζ2	ζ2	NOUN
ejpam-5464	415	45	,	,	PUNCT
ejpam-5464	415	46	ζ3	ζ3	NOUN
ejpam-5464	415	47	,	,	PUNCT
ejpam-5464	415	48	ζ7	ζ7	VERB
ejpam-5464	415	49	}	}	PUNCT
ejpam-5464	415	50	,	,	PUNCT
ejpam-5464	415	51	{	{	PUNCT
ejpam-5464	415	52	ζ2	ζ2	NOUN
ejpam-5464	415	53	,	,	PUNCT
ejpam-5464	415	54	ζ7	ζ7	NOUN
ejpam-5464	415	55	,	,	PUNCT
ejpam-5464	415	56	ζ8	ζ8	NOUN
ejpam-5464	415	57	}	}	PUNCT
ejpam-5464	415	58	,	,	PUNCT
ejpam-5464	415	59	{	{	PUNCT
ejpam-5464	415	60	ζ2	ζ2	NOUN
ejpam-5464	415	61	,	,	PUNCT
ejpam-5464	415	62	ζ7	ζ7	NOUN
ejpam-5464	415	63	,	,	PUNCT
ejpam-5464	415	64	ζ9	ζ9	NOUN
ejpam-5464	415	65	}	}	PUNCT
ejpam-5464	415	66	,	,	PUNCT
ejpam-5464	415	67	{	{	PUNCT
ejpam-5464	415	68	ζ3	ζ3	NOUN
ejpam-5464	415	69	,	,	PUNCT
ejpam-5464	415	70	ζ8	ζ8	NOUN
ejpam-5464	415	71	,	,	PUNCT
ejpam-5464	415	72	ζ9	ζ9	NOUN
ejpam-5464	415	73	}	}	PUNCT
ejpam-5464	415	74	,	,	PUNCT
ejpam-5464	415	75	{	{	PUNCT
ejpam-5464	415	76	ζ2	ζ2	NOUN
ejpam-5464	415	77	,	,	PUNCT
ejpam-5464	415	78	ζ3	ζ3	NOUN
ejpam-5464	415	79	,	,	PUNCT
ejpam-5464	415	80	ζ7	ζ7	VERB
ejpam-5464	415	81	,	,	PUNCT
ejpam-5464	415	82	ζ8	ζ8	NOUN
ejpam-5464	415	83	}	}	PUNCT
ejpam-5464	415	84	,	,	PUNCT
ejpam-5464	415	85	{	{	PUNCT
ejpam-5464	415	86	ζ2	ζ2	NOUN
ejpam-5464	415	87	,	,	PUNCT
ejpam-5464	415	88	ζ3	ζ3	NOUN
ejpam-5464	415	89	,	,	PUNCT
ejpam-5464	415	90	ζ7	ζ7	NOUN
ejpam-5464	415	91	,	,	PUNCT
ejpam-5464	415	92	ζ9	ζ9	NOUN
ejpam-5464	415	93	}	}	PUNCT
ejpam-5464	415	94	,	,	PUNCT
ejpam-5464	415	95	{	{	PUNCT
ejpam-5464	415	96	ζ2	ζ2	NOUN
ejpam-5464	415	97	,	,	PUNCT
ejpam-5464	415	98	ζ7	ζ7	NOUN
ejpam-5464	415	99	,	,	PUNCT
ejpam-5464	415	100	ζ8	ζ8	NOUN
ejpam-5464	415	101	,	,	PUNCT
ejpam-5464	415	102	ζ9	ζ9	NOUN
ejpam-5464	415	103	}	}	PUNCT
ejpam-5464	415	104	}	}	PUNCT
ejpam-5464	415	105	.	.	PUNCT
ejpam-5464	416	1	ii	ii	X
ejpam-5464	416	2	)	)	PUNCT
ejpam-5464	416	3	τl	τl	PUNCT
ejpam-5464	416	4	=	=	PUNCT
ejpam-5464	416	5	{	{	PUNCT
ejpam-5464	416	6	b	b	PROPN
ejpam-5464	416	7	,	,	PUNCT
ejpam-5464	416	8	ϕ	ϕ	NOUN
ejpam-5464	416	9	,	,	PUNCT
ejpam-5464	416	10	{	{	PUNCT
ejpam-5464	416	11	ζ2	ζ2	NOUN
ejpam-5464	416	12	}	}	PUNCT
ejpam-5464	416	13	,	,	PUNCT
ejpam-5464	416	14	{	{	PUNCT
ejpam-5464	416	15	ζ7	ζ7	PROPN
ejpam-5464	416	16	}	}	PUNCT
ejpam-5464	416	17	,	,	PUNCT
ejpam-5464	416	18	{	{	PUNCT
ejpam-5464	416	19	ζ8	ζ8	NOUN
ejpam-5464	416	20	}	}	PUNCT
ejpam-5464	416	21	,	,	PUNCT
ejpam-5464	416	22	{	{	PUNCT
ejpam-5464	416	23	ζ2	ζ2	NOUN
ejpam-5464	416	24	,	,	PUNCT
ejpam-5464	416	25	ζ7	ζ7	VERB
ejpam-5464	416	26	}	}	PUNCT
ejpam-5464	416	27	,	,	PUNCT
ejpam-5464	416	28	{	{	PUNCT
ejpam-5464	416	29	ζ2	ζ2	NOUN
ejpam-5464	416	30	,	,	PUNCT
ejpam-5464	416	31	ζ8	ζ8	NOUN
ejpam-5464	416	32	}	}	PUNCT
ejpam-5464	416	33	,	,	PUNCT
ejpam-5464	416	34	{	{	PUNCT
ejpam-5464	416	35	ζ3	ζ3	NOUN
ejpam-5464	416	36	,	,	PUNCT
ejpam-5464	416	37	ζ9	ζ9	NOUN
ejpam-5464	416	38	}	}	PUNCT
ejpam-5464	416	39	,	,	PUNCT
ejpam-5464	416	40	{	{	PUNCT
ejpam-5464	416	41	ζ7	ζ7	NOUN
ejpam-5464	416	42	,	,	PUNCT
ejpam-5464	416	43	ζ8	ζ8	NOUN
ejpam-5464	416	44	}	}	PUNCT
ejpam-5464	416	45	,	,	PUNCT
ejpam-5464	416	46	{	{	PUNCT
ejpam-5464	416	47	ζ2	ζ2	NOUN
ejpam-5464	416	48	,	,	PUNCT
ejpam-5464	416	49	ζ3	ζ3	NOUN
ejpam-5464	416	50	,	,	PUNCT
ejpam-5464	416	51	ζ9	ζ9	NOUN
ejpam-5464	416	52	}	}	PUNCT
ejpam-5464	416	53	,	,	PUNCT
ejpam-5464	416	54	{	{	PUNCT
ejpam-5464	416	55	ζ2	ζ2	NOUN
ejpam-5464	416	56	,	,	PUNCT
ejpam-5464	416	57	ζ7	ζ7	NOUN
ejpam-5464	416	58	,	,	PUNCT
ejpam-5464	416	59	ζ8	ζ8	NOUN
ejpam-5464	416	60	}	}	PUNCT
ejpam-5464	416	61	,	,	PUNCT
ejpam-5464	416	62	{	{	PUNCT
ejpam-5464	416	63	ζ3	ζ3	NOUN
ejpam-5464	416	64	,	,	PUNCT
ejpam-5464	416	65	ζ7	ζ7	NOUN
ejpam-5464	416	66	,	,	PUNCT
ejpam-5464	416	67	ζ9	ζ9	NOUN
ejpam-5464	416	68	}	}	PUNCT
ejpam-5464	416	69	,	,	PUNCT
ejpam-5464	416	70	{	{	PUNCT
ejpam-5464	416	71	ζ3	ζ3	NOUN
ejpam-5464	416	72	,	,	PUNCT
ejpam-5464	416	73	ζ8	ζ8	NOUN
ejpam-5464	416	74	,	,	PUNCT
ejpam-5464	416	75	ζ9	ζ9	NOUN
ejpam-5464	416	76	}	}	PUNCT
ejpam-5464	416	77	,	,	PUNCT
ejpam-5464	416	78	{	{	PUNCT
ejpam-5464	416	79	ζ2	ζ2	NOUN
ejpam-5464	416	80	,	,	PUNCT
ejpam-5464	416	81	ζ3	ζ3	NOUN
ejpam-5464	416	82	,	,	PUNCT
ejpam-5464	416	83	ζ7	ζ7	NOUN
ejpam-5464	416	84	,	,	PUNCT
ejpam-5464	416	85	ζ9	ζ9	NOUN
ejpam-5464	416	86	}	}	PUNCT
ejpam-5464	416	87	,	,	PUNCT
ejpam-5464	416	88	{	{	PUNCT
ejpam-5464	416	89	ζ2	ζ2	NOUN
ejpam-5464	416	90	,	,	PUNCT
ejpam-5464	416	91	ζ3	ζ3	NOUN
ejpam-5464	416	92	,	,	PUNCT
ejpam-5464	416	93	ζ8	ζ8	NOUN
ejpam-5464	416	94	,	,	PUNCT
ejpam-5464	416	95	ζ9	ζ9	NOUN
ejpam-5464	416	96	}	}	PUNCT
ejpam-5464	416	97	,	,	PUNCT
ejpam-5464	416	98	{	{	PUNCT
ejpam-5464	416	99	ζ3	ζ3	NOUN
ejpam-5464	416	100	,	,	PUNCT
ejpam-5464	416	101	ζ7	ζ7	NOUN
ejpam-5464	416	102	,	,	PUNCT
ejpam-5464	416	103	ζ8	ζ8	NOUN
ejpam-5464	416	104	,	,	PUNCT
ejpam-5464	416	105	ζ9	ζ9	NOUN
ejpam-5464	416	106	}	}	PUNCT
ejpam-5464	416	107	}	}	PUNCT
ejpam-5464	416	108	.	.	PUNCT
ejpam-5464	417	1	iii	iii	X
ejpam-5464	417	2	)	)	PUNCT
ejpam-5464	417	3	τu	τu	ADP
ejpam-5464	417	4	=	=	PUNCT
ejpam-5464	417	5	{	{	PUNCT
ejpam-5464	417	6	b	b	PROPN
ejpam-5464	417	7	,	,	PUNCT
ejpam-5464	417	8	ϕ	ϕ	NOUN
ejpam-5464	417	9	,	,	PUNCT
ejpam-5464	417	10	{	{	PUNCT
ejpam-5464	417	11	ζ8	ζ8	NOUN
ejpam-5464	417	12	}	}	PUNCT
ejpam-5464	417	13	,	,	PUNCT
ejpam-5464	417	14	{	{	PUNCT
ejpam-5464	417	15	ζ2	ζ2	NOUN
ejpam-5464	417	16	,	,	PUNCT
ejpam-5464	417	17	ζ7	ζ7	VERB
ejpam-5464	417	18	}	}	PUNCT
ejpam-5464	417	19	,	,	PUNCT
ejpam-5464	417	20	{	{	PUNCT
ejpam-5464	417	21	ζ3	ζ3	NOUN
ejpam-5464	417	22	,	,	PUNCT
ejpam-5464	417	23	ζ9	ζ9	NOUN
ejpam-5464	417	24	}	}	PUNCT
ejpam-5464	417	25	,	,	PUNCT
ejpam-5464	417	26	{	{	PUNCT
ejpam-5464	417	27	ζ2	ζ2	NOUN
ejpam-5464	417	28	,	,	PUNCT
ejpam-5464	417	29	ζ7	ζ7	NOUN
ejpam-5464	417	30	,	,	PUNCT
ejpam-5464	417	31	ζ8	ζ8	NOUN
ejpam-5464	417	32	}	}	PUNCT
ejpam-5464	417	33	,	,	PUNCT
ejpam-5464	417	34	{	{	PUNCT
ejpam-5464	417	35	ζ3	ζ3	NOUN
ejpam-5464	417	36	,	,	PUNCT
ejpam-5464	417	37	ζ8	ζ8	NOUN
ejpam-5464	417	38	,	,	PUNCT
ejpam-5464	417	39	ζ9	ζ9	NOUN
ejpam-5464	417	40	}	}	PUNCT
ejpam-5464	417	41	,	,	PUNCT
ejpam-5464	417	42	{	{	PUNCT
ejpam-5464	417	43	ζ2	ζ2	NOUN
ejpam-5464	417	44	,	,	PUNCT
ejpam-5464	417	45	ζ3	ζ3	NOUN
ejpam-5464	417	46	,	,	PUNCT
ejpam-5464	417	47	ζ7	ζ7	NOUN
ejpam-5464	417	48	,	,	PUNCT
ejpam-5464	417	49	ζ9	ζ9	NOUN
ejpam-5464	417	50	}	}	PUNCT
ejpam-5464	417	51	}	}	PUNCT
ejpam-5464	417	52	.	.	PUNCT
ejpam-5464	418	1	iv	iv	X
ejpam-5464	418	2	)	)	PUNCT
ejpam-5464	418	3	τi	τi	VERB
ejpam-5464	418	4	=	=	SYM
ejpam-5464	418	5	τdiscrete	τdiscrete	ADJ
ejpam-5464	418	6	,	,	PUNCT
ejpam-5464	418	7	which	which	PRON
ejpam-5464	418	8	has	have	VERB
ejpam-5464	418	9	a	a	DET
ejpam-5464	418	10	best	good	ADJ
ejpam-5464	418	11	accuracy	accuracy	NOUN
ejpam-5464	418	12	in	in	ADP
ejpam-5464	418	13	table	table	NOUN
ejpam-5464	418	14	3	3	NUM
ejpam-5464	418	15	.	.	PUNCT
ejpam-5464	419	1	the	the	DET
ejpam-5464	419	2	results	result	NOUN
ejpam-5464	419	3	of	of	ADP
ejpam-5464	419	4	these	these	DET
ejpam-5464	419	5	topologies	topology	NOUN
ejpam-5464	419	6	on	on	ADP
ejpam-5464	419	7	g	g	PROPN
ejpam-5464	419	8	can	can	AUX
ejpam-5464	419	9	be	be	AUX
ejpam-5464	419	10	investigated	investigate	VERB
ejpam-5464	419	11	as	as	SCONJ
ejpam-5464	419	12	follows	follow	VERB
ejpam-5464	419	13	:	:	PUNCT
ejpam-5464	419	14	i	i	PRON
ejpam-5464	419	15	)	)	PUNCT
ejpam-5464	419	16	the	the	DET
ejpam-5464	419	17	topologies	topology	NOUN
ejpam-5464	419	18	τr	τr	PRON
ejpam-5464	419	19	are	be	AUX
ejpam-5464	419	20	τl	τl	ADJ
ejpam-5464	419	21	are	be	AUX
ejpam-5464	419	22	independent	independent	ADJ
ejpam-5464	419	23	.	.	PUNCT
ejpam-5464	419	24	ii	ii	PROPN
ejpam-5464	419	25	)	)	PUNCT
ejpam-5464	419	26	τu	τu	ADP
ejpam-5464	419	27	⊆	⊆	NUM
ejpam-5464	419	28	τr	τr	NUM
ejpam-5464	419	29	and	and	CCONJ
ejpam-5464	419	30	τu	τu	ADP
ejpam-5464	419	31	⊆	⊆	NUM
ejpam-5464	419	32	τl	τl	PROPN
ejpam-5464	419	33	.	.	PUNCT
ejpam-5464	419	34	iii	iii	X
ejpam-5464	419	35	)	)	PUNCT
ejpam-5464	419	36	τi	τi	VERB
ejpam-5464	419	37	is	be	AUX
ejpam-5464	419	38	finer	fine	ADJ
ejpam-5464	419	39	than	than	ADP
ejpam-5464	419	40	any	any	DET
ejpam-5464	419	41	topology	topology	NOUN
ejpam-5464	419	42	which	which	PRON
ejpam-5464	419	43	reduce	reduce	VERB
ejpam-5464	419	44	from	from	ADP
ejpam-5464	419	45	any	any	DET
ejpam-5464	419	46	subgraph	subgraph	NOUN
ejpam-5464	419	47	of	of	ADP
ejpam-5464	419	48	g.	g.	PROPN
ejpam-5464	419	49	iv	iv	PROPN
ejpam-5464	419	50	)	)	PUNCT
ejpam-5464	419	51	core	core	NOUN
ejpam-5464	419	52	minimal	minimal	ADJ
ejpam-5464	419	53	intersection	intersection	NOUN
ejpam-5464	419	54	topology	topology	NOUN
ejpam-5464	419	55	τi	τi	NOUN
ejpam-5464	419	56	is	be	AUX
ejpam-5464	419	57	the	the	DET
ejpam-5464	419	58	best	good	ADJ
ejpam-5464	419	59	topology	topology	NOUN
ejpam-5464	419	60	because	because	SCONJ
ejpam-5464	419	61	it	it	PRON
ejpam-5464	419	62	represents	represent	VERB
ejpam-5464	419	63	all	all	DET
ejpam-5464	419	64	parts	part	NOUN
ejpam-5464	419	65	of	of	ADP
ejpam-5464	419	66	the	the	DET
ejpam-5464	419	67	heart	heart	NOUN
ejpam-5464	419	68	that	that	PRON
ejpam-5464	419	69	can	can	AUX
ejpam-5464	419	70	be	be	AUX
ejpam-5464	419	71	used	use	VERB
ejpam-5464	419	72	for	for	ADP
ejpam-5464	419	73	the	the	DET
ejpam-5464	419	74	best	good	ADJ
ejpam-5464	419	75	diagnosis	diagnosis	NOUN
ejpam-5464	419	76	.	.	PUNCT
ejpam-5464	420	1	it	it	PRON
ejpam-5464	420	2	is	be	AUX
ejpam-5464	420	3	considered	consider	VERB
ejpam-5464	420	4	the	the	DET
ejpam-5464	420	5	ideal	ideal	ADJ
ejpam-5464	420	6	choice	choice	NOUN
ejpam-5464	420	7	from	from	ADP
ejpam-5464	420	8	a	a	DET
ejpam-5464	420	9	topological	topological	ADJ
ejpam-5464	420	10	point	point	NOUN
ejpam-5464	420	11	of	of	ADP
ejpam-5464	420	12	view	view	NOUN
ejpam-5464	420	13	,	,	PUNCT
ejpam-5464	420	14	as	as	SCONJ
ejpam-5464	420	15	topological	topological	ADJ
ejpam-5464	420	16	scientists	scientist	NOUN
ejpam-5464	420	17	use	use	VERB
ejpam-5464	420	18	it	it	PRON
ejpam-5464	420	19	in	in	ADP
ejpam-5464	420	20	their	their	PRON
ejpam-5464	420	21	studies	study	NOUN
ejpam-5464	420	22	.	.	PUNCT
ejpam-5464	421	1	references	reference	NOUN
ejpam-5464	421	2	3581	3581	NUM
ejpam-5464	421	3	in	in	ADP
ejpam-5464	421	4	the	the	DET
ejpam-5464	421	5	application	application	NOUN
ejpam-5464	421	6	that	that	PRON
ejpam-5464	421	7	was	be	AUX
ejpam-5464	421	8	presented	present	VERB
ejpam-5464	421	9	,	,	PUNCT
ejpam-5464	421	10	we	we	PRON
ejpam-5464	421	11	have	have	AUX
ejpam-5464	421	12	suggested	suggest	VERB
ejpam-5464	421	13	many	many	ADJ
ejpam-5464	421	14	different	different	ADJ
ejpam-5464	421	15	topologies	topology	NOUN
ejpam-5464	421	16	that	that	PRON
ejpam-5464	421	17	help	help	VERB
ejpam-5464	421	18	experts	expert	NOUN
ejpam-5464	421	19	in	in	ADP
ejpam-5464	421	20	diagnosing	diagnose	VERB
ejpam-5464	421	21	the	the	DET
ejpam-5464	421	22	heart	heart	NOUN
ejpam-5464	421	23	.	.	PUNCT
ejpam-5464	422	1	many	many	ADJ
ejpam-5464	422	2	topological	topological	ADJ
ejpam-5464	422	3	tools	tool	NOUN
ejpam-5464	422	4	can	can	AUX
ejpam-5464	422	5	be	be	AUX
ejpam-5464	422	6	used	use	VERB
ejpam-5464	422	7	,	,	PUNCT
ejpam-5464	422	8	such	such	ADJ
ejpam-5464	422	9	as	as	ADP
ejpam-5464	422	10	separation	separation	NOUN
ejpam-5464	422	11	axioms	axiom	NOUN
ejpam-5464	422	12	,	,	PUNCT
ejpam-5464	422	13	connectivity	connectivity	NOUN
ejpam-5464	422	14	,	,	PUNCT
ejpam-5464	422	15	compactness	compactness	NOUN
ejpam-5464	422	16	,	,	PUNCT
ejpam-5464	422	17	and	and	CCONJ
ejpam-5464	422	18	continuity	continuity	NOUN
ejpam-5464	422	19	.	.	PUNCT
ejpam-5464	423	1	these	these	DET
ejpam-5464	423	2	tools	tool	NOUN
ejpam-5464	423	3	have	have	VERB
ejpam-5464	423	4	a	a	DET
ejpam-5464	423	5	fundamental	fundamental	ADJ
ejpam-5464	423	6	impact	impact	NOUN
ejpam-5464	423	7	in	in	ADP
ejpam-5464	423	8	the	the	DET
ejpam-5464	423	9	medical	medical	ADJ
ejpam-5464	423	10	field	field	NOUN
ejpam-5464	423	11	.	.	PUNCT
ejpam-5464	424	1	7	7	X
ejpam-5464	424	2	.	.	X
ejpam-5464	424	3	conclusion	conclusion	NOUN
ejpam-5464	424	4	and	and	CCONJ
ejpam-5464	424	5	future	future	ADJ
ejpam-5464	424	6	work	work	NOUN
ejpam-5464	424	7	in	in	ADP
ejpam-5464	424	8	the	the	DET
ejpam-5464	424	9	current	current	ADJ
ejpam-5464	424	10	paper	paper	NOUN
ejpam-5464	424	11	,	,	PUNCT
ejpam-5464	424	12	we	we	PRON
ejpam-5464	424	13	define	define	VERB
ejpam-5464	424	14	core	core	NOUN
ejpam-5464	424	15	minimal	minimal	ADJ
ejpam-5464	424	16	neighborhood	neighborhood	NOUN
ejpam-5464	424	17	which	which	PRON
ejpam-5464	424	18	is	be	AUX
ejpam-5464	424	19	a	a	DET
ejpam-5464	424	20	generalization	generalization	NOUN
ejpam-5464	424	21	of	of	ADP
ejpam-5464	424	22	rough	rough	ADJ
ejpam-5464	424	23	set	set	NOUN
ejpam-5464	424	24	theory	theory	NOUN
ejpam-5464	424	25	,	,	PUNCT
ejpam-5464	424	26	and	and	CCONJ
ejpam-5464	424	27	we	we	PRON
ejpam-5464	424	28	have	have	AUX
ejpam-5464	424	29	studied	study	VERB
ejpam-5464	424	30	its	its	PRON
ejpam-5464	424	31	properties	property	NOUN
ejpam-5464	424	32	and	and	CCONJ
ejpam-5464	424	33	reached	reach	VERB
ejpam-5464	424	34	some	some	DET
ejpam-5464	424	35	results	result	NOUN
ejpam-5464	424	36	.	.	PUNCT
ejpam-5464	425	1	also	also	ADV
ejpam-5464	425	2	,	,	PUNCT
ejpam-5464	425	3	a	a	DET
ejpam-5464	425	4	comparison	comparison	NOUN
ejpam-5464	425	5	between	between	ADP
ejpam-5464	425	6	neighborhood	neighborhood	NOUN
ejpam-5464	425	7	,	,	PUNCT
ejpam-5464	425	8	core	core	NOUN
ejpam-5464	425	9	neighborhood	neighborhood	NOUN
ejpam-5464	425	10	,	,	PUNCT
ejpam-5464	425	11	minimal	minimal	ADJ
ejpam-5464	425	12	neighborhood	neighborhood	NOUN
ejpam-5464	425	13	,	,	PUNCT
ejpam-5464	425	14	and	and	CCONJ
ejpam-5464	425	15	core	core	NOUN
ejpam-5464	425	16	minimal	minimal	ADJ
ejpam-5464	425	17	neighborhood	neighborhood	NOUN
ejpam-5464	425	18	are	be	AUX
ejpam-5464	425	19	introduced	introduce	VERB
ejpam-5464	425	20	.	.	PUNCT
ejpam-5464	426	1	we	we	PRON
ejpam-5464	426	2	investigate	investigate	VERB
ejpam-5464	426	3	four	four	NUM
ejpam-5464	426	4	various	various	ADJ
ejpam-5464	426	5	types	type	NOUN
ejpam-5464	426	6	of	of	ADP
ejpam-5464	426	7	generalizations	generalization	NOUN
ejpam-5464	426	8	for	for	ADP
ejpam-5464	426	9	rst	rst	PROPN
ejpam-5464	426	10	,	,	PUNCT
ejpam-5464	426	11	which	which	PRON
ejpam-5464	426	12	contain	contain	VERB
ejpam-5464	426	13	four	four	NUM
ejpam-5464	426	14	types	type	NOUN
ejpam-5464	426	15	of	of	ADP
ejpam-5464	426	16	dual	dual	ADJ
ejpam-5464	426	17	approximations	approximation	NOUN
ejpam-5464	426	18	constructed	construct	VERB
ejpam-5464	426	19	by	by	ADP
ejpam-5464	426	20	core	core	NOUN
ejpam-5464	426	21	minimal	minimal	ADJ
ejpam-5464	426	22	neighborhoods	neighborhood	NOUN
ejpam-5464	426	23	.	.	PUNCT
ejpam-5464	427	1	the	the	DET
ejpam-5464	427	2	characteristics	characteristic	NOUN
ejpam-5464	427	3	of	of	ADP
ejpam-5464	427	4	these	these	DET
ejpam-5464	427	5	approximations	approximation	NOUN
ejpam-5464	427	6	are	be	AUX
ejpam-5464	427	7	examined	examine	VERB
ejpam-5464	427	8	.	.	PUNCT
ejpam-5464	428	1	there	there	PRON
ejpam-5464	428	2	are	be	VERB
ejpam-5464	428	3	several	several	ADJ
ejpam-5464	428	4	comparisons	comparison	NOUN
ejpam-5464	428	5	between	between	ADP
ejpam-5464	428	6	our	our	PRON
ejpam-5464	428	7	generalizations	generalization	NOUN
ejpam-5464	428	8	and	and	CCONJ
ejpam-5464	428	9	others	other	NOUN
ejpam-5464	428	10	.	.	PUNCT
ejpam-5464	429	1	further	further	ADJ
ejpam-5464	429	2	topological	topological	ADJ
ejpam-5464	429	3	developments	development	NOUN
ejpam-5464	429	4	in	in	ADP
ejpam-5464	429	5	rst	rst	PROPN
ejpam-5464	429	6	and	and	CCONJ
ejpam-5464	429	7	its	its	PRON
ejpam-5464	429	8	applications	application	NOUN
ejpam-5464	429	9	are	be	AUX
ejpam-5464	429	10	made	make	VERB
ejpam-5464	429	11	possible	possible	ADJ
ejpam-5464	429	12	by	by	ADP
ejpam-5464	429	13	the	the	DET
ejpam-5464	429	14	approximations	approximation	NOUN
ejpam-5464	429	15	operators	operator	NOUN
ejpam-5464	429	16	.	.	PUNCT
ejpam-5464	430	1	our	our	PRON
ejpam-5464	430	2	research	research	NOUN
ejpam-5464	430	3	established	establish	VERB
ejpam-5464	430	4	four	four	NUM
ejpam-5464	430	5	topologies	topology	NOUN
ejpam-5464	430	6	and	and	CCONJ
ejpam-5464	430	7	studied	study	VERB
ejpam-5464	430	8	a	a	DET
ejpam-5464	430	9	comparison	comparison	NOUN
ejpam-5464	430	10	between	between	ADP
ejpam-5464	430	11	them	they	PRON
ejpam-5464	430	12	.	.	PUNCT
ejpam-5464	431	1	the	the	DET
ejpam-5464	431	2	example	example	NOUN
ejpam-5464	431	3	shows	show	VERB
ejpam-5464	431	4	medical	medical	ADJ
ejpam-5464	431	5	applications	application	NOUN
ejpam-5464	431	6	that	that	PRON
ejpam-5464	431	7	are	be	AUX
ejpam-5464	431	8	utilized	utilize	VERB
ejpam-5464	431	9	to	to	PART
ejpam-5464	431	10	make	make	VERB
ejpam-5464	431	11	decisions	decision	NOUN
ejpam-5464	431	12	in	in	ADP
ejpam-5464	431	13	the	the	DET
ejpam-5464	431	14	human	human	ADJ
ejpam-5464	431	15	heart	heart	NOUN
ejpam-5464	431	16	.	.	PUNCT
ejpam-5464	432	1	furthermore	furthermore	ADV
ejpam-5464	432	2	,	,	PUNCT
ejpam-5464	432	3	this	this	DET
ejpam-5464	432	4	discovery	discovery	NOUN
ejpam-5464	432	5	will	will	AUX
ejpam-5464	432	6	be	be	AUX
ejpam-5464	432	7	beneficial	beneficial	ADJ
ejpam-5464	432	8	and	and	CCONJ
ejpam-5464	432	9	offer	offer	VERB
ejpam-5464	432	10	new	new	ADJ
ejpam-5464	432	11	prospects	prospect	NOUN
ejpam-5464	432	12	in	in	ADP
ejpam-5464	432	13	the	the	DET
ejpam-5464	432	14	research	research	NOUN
ejpam-5464	432	15	of	of	ADP
ejpam-5464	432	16	topological	topological	ADJ
ejpam-5464	432	17	spaces	space	NOUN
ejpam-5464	432	18	that	that	PRON
ejpam-5464	432	19	approach	approach	VERB
ejpam-5464	432	20	rst	rst	PROPN
ejpam-5464	432	21	via	via	ADP
ejpam-5464	432	22	minimal	minimal	ADJ
ejpam-5464	432	23	neighborhoods	neighborhood	NOUN
ejpam-5464	432	24	,	,	PUNCT
ejpam-5464	432	25	and	and	CCONJ
ejpam-5464	432	26	the	the	DET
ejpam-5464	432	27	examination	examination	NOUN
ejpam-5464	432	28	of	of	ADP
ejpam-5464	432	29	core	core	NOUN
ejpam-5464	432	30	minimal	minimal	ADJ
ejpam-5464	432	31	neighborhoods	neighborhood	NOUN
ejpam-5464	432	32	as	as	ADP
ejpam-5464	432	33	applications	application	NOUN
ejpam-5464	432	34	of	of	ADP
ejpam-5464	432	35	these	these	DET
ejpam-5464	432	36	novel	novel	ADJ
ejpam-5464	432	37	ideas	idea	NOUN
ejpam-5464	432	38	.	.	PUNCT
ejpam-5464	433	1	in	in	ADP
ejpam-5464	433	2	future	future	ADJ
ejpam-5464	433	3	work	work	NOUN
ejpam-5464	433	4	,	,	PUNCT
ejpam-5464	433	5	there	there	PRON
ejpam-5464	433	6	are	be	VERB
ejpam-5464	433	7	many	many	ADJ
ejpam-5464	433	8	studies	study	NOUN
ejpam-5464	433	9	to	to	PART
ejpam-5464	433	10	combine	combine	VERB
ejpam-5464	433	11	rough	rough	ADJ
ejpam-5464	433	12	sets	set	NOUN
ejpam-5464	433	13	with	with	ADP
ejpam-5464	433	14	many	many	ADJ
ejpam-5464	433	15	topological	topological	ADJ
ejpam-5464	433	16	concepts	concept	NOUN
ejpam-5464	433	17	such	such	ADJ
ejpam-5464	433	18	as	as	ADP
ejpam-5464	433	19	neighborhoods	neighborhood	NOUN
ejpam-5464	433	20	and	and	CCONJ
ejpam-5464	433	21	ideals	ideal	NOUN
ejpam-5464	433	22	that	that	PRON
ejpam-5464	433	23	preserve	preserve	VERB
ejpam-5464	433	24	the	the	DET
ejpam-5464	433	25	diagnosis	diagnosis	NOUN
ejpam-5464	433	26	and	and	CCONJ
ejpam-5464	433	27	cure	cure	NOUN
ejpam-5464	433	28	of	of	ADP
ejpam-5464	433	29	dengue	dengue	NOUN
ejpam-5464	433	30	.	.	PUNCT
ejpam-5464	434	1	moreover	moreover	ADV
ejpam-5464	434	2	,	,	PUNCT
ejpam-5464	434	3	we	we	PRON
ejpam-5464	434	4	study	study	VERB
ejpam-5464	434	5	several	several	ADJ
ejpam-5464	434	6	relationships	relationship	NOUN
ejpam-5464	434	7	between	between	ADP
ejpam-5464	434	8	dual	dual	ADJ
ejpam-5464	434	9	approximations	approximation	NOUN
ejpam-5464	434	10	,	,	PUNCT
ejpam-5464	434	11	accuracies	accuracy	NOUN
ejpam-5464	434	12	,	,	PUNCT
ejpam-5464	434	13	and	and	CCONJ
ejpam-5464	434	14	boundaries	boundary	NOUN
ejpam-5464	434	15	of	of	ADP
ejpam-5464	434	16	neighborhood	neighborhood	NOUN
ejpam-5464	434	17	,	,	PUNCT
ejpam-5464	434	18	core	core	NOUN
ejpam-5464	434	19	neighborhood	neighborhood	NOUN
ejpam-5464	434	20	,	,	PUNCT
ejpam-5464	434	21	minimal	minimal	ADJ
ejpam-5464	434	22	neighborhood	neighborhood	NOUN
ejpam-5464	434	23	,	,	PUNCT
ejpam-5464	434	24	and	and	CCONJ
ejpam-5464	434	25	core	core	VERB
ejpam-5464	434	26	minimal	minimal	ADJ
ejpam-5464	434	27	neighborhood	neighborhood	NOUN
ejpam-5464	434	28	.	.	PUNCT
ejpam-5464	435	1	references	reference	NOUN
ejpam-5464	435	2	[	[	X
ejpam-5464	435	3	1	1	NUM
ejpam-5464	435	4	]	]	PUNCT
ejpam-5464	435	5	e.i.lashin	e.i.lashin	VERB
ejpam-5464	435	6	a.a	a.a	PROPN
ejpam-5464	435	7	.	.	PROPN
ejpam-5464	435	8	el	el	PROPN
ejpam-5464	435	9	-	-	PUNCT
ejpam-5464	435	10	atik	atik	PROPN
ejpam-5464	435	11	,	,	PUNCT
ejpam-5464	435	12	m.e.abd	m.e.abd	PROPN
ejpam-5464	435	13	el	el	PROPN
ejpam-5464	435	14	-	-	PROPN
ejpam-5464	435	15	monsef	monsef	ADJ
ejpam-5464	435	16	.	.	PUNCT
ejpam-5464	436	1	on	on	ADP
ejpam-5464	436	2	finite	finite	PROPN
ejpam-5464	436	3	t0	t0	PROPN
ejpam-5464	436	4	topological	topological	ADJ
ejpam-5464	436	5	spaces	space	NOUN
ejpam-5464	436	6	.	.	PUNCT
ejpam-5464	437	1	journal	journal	PROPN
ejpam-5464	437	2	of	of	ADP
ejpam-5464	437	3	arxiv	arxiv	PROPN
ejpam-5464	437	4	preprint	preprint	NOUN
ejpam-5464	437	5	math/0204123	math/0204123	NOUN
ejpam-5464	437	6	,	,	PUNCT
ejpam-5464	437	7	2002	2002	NUM
ejpam-5464	437	8	.	.	PUNCT
ejpam-5464	438	1	[	[	X
ejpam-5464	438	2	2	2	NUM
ejpam-5464	438	3	]	]	X
ejpam-5464	438	4	e.a.abo	e.a.abo	ADJ
ejpam-5464	438	5	-	-	PUNCT
ejpam-5464	438	6	tabl	tabl	NOUN
ejpam-5464	438	7	a.a.allam	a.a.allam	NOUN
ejpam-5464	438	8	,	,	PUNCT
ejpam-5464	438	9	m.y.bakeir	m.y.bakeir	NOUN
ejpam-5464	438	10	.	.	PUNCT
ejpam-5464	439	1	rough	rough	ADJ
ejpam-5464	439	2	sets	set	NOUN
ejpam-5464	439	3	,	,	PUNCT
ejpam-5464	439	4	fuzzy	fuzzy	ADJ
ejpam-5464	439	5	sets	set	NOUN
ejpam-5464	439	6	,	,	PUNCT
ejpam-5464	439	7	data	datum	NOUN
ejpam-5464	439	8	mining	mining	NOUN
ejpam-5464	439	9	,	,	PUNCT
ejpam-5464	439	10	and	and	CCONJ
ejpam-5464	439	11	granular	granular	ADJ
ejpam-5464	439	12	computing	computing	NOUN
ejpam-5464	439	13	.	.	PUNCT
ejpam-5464	440	1	in	in	ADP
ejpam-5464	440	2	proceedings	proceeding	NOUN
ejpam-5464	440	3	of	of	ADP
ejpam-5464	440	4	the	the	DET
ejpam-5464	440	5	international	international	ADJ
ejpam-5464	440	6	conference	conference	NOUN
ejpam-5464	440	7	,	,	PUNCT
ejpam-5464	440	8	pages	page	NOUN
ejpam-5464	440	9	64–73	64–73	NUM
ejpam-5464	440	10	,	,	PUNCT
ejpam-5464	440	11	2005	2005	NUM
ejpam-5464	440	12	.	.	PUNCT
ejpam-5464	441	1	[	[	X
ejpam-5464	441	2	3	3	NUM
ejpam-5464	441	3	]	]	X
ejpam-5464	441	4	e.a.abo	e.a.abo	ADJ
ejpam-5464	441	5	-	-	PUNCT
ejpam-5464	441	6	tabl	tabl	NOUN
ejpam-5464	441	7	a.a.allam	a.a.allam	NOUN
ejpam-5464	441	8	,	,	PUNCT
ejpam-5464	441	9	m.y.bakeir	m.y.bakeir	NOUN
ejpam-5464	441	10	.	.	PUNCT
ejpam-5464	442	1	new	new	ADJ
ejpam-5464	442	2	approach	approach	NOUN
ejpam-5464	442	3	for	for	ADP
ejpam-5464	442	4	closure	closure	NOUN
ejpam-5464	442	5	spaces	space	NOUN
ejpam-5464	442	6	by	by	ADP
ejpam-5464	442	7	relations	relation	NOUN
ejpam-5464	442	8	.	.	PUNCT
ejpam-5464	443	1	acta	acta	PROPN
ejpam-5464	443	2	mathematica	mathematica	PROPN
ejpam-5464	443	3	academiae	academiae	PROPN
ejpam-5464	443	4	paedagogicae	paedagogicae	PROPN
ejpam-5464	443	5	nyregyhziensis	nyregyhziensis	NOUN
ejpam-5464	443	6	,	,	PUNCT
ejpam-5464	443	7	22(3):285–304	22(3):285–304	PROPN
ejpam-5464	443	8	,	,	PUNCT
ejpam-5464	443	9	2006	2006	NUM
ejpam-5464	443	10	.	.	PUNCT
ejpam-5464	444	1	[	[	X
ejpam-5464	444	2	4	4	X
ejpam-5464	444	3	]	]	X
ejpam-5464	444	4	s.g.li	s.g.li	NOUN
ejpam-5464	444	5	a.a.azzam	a.a.azzam	PROPN
ejpam-5464	444	6	,	,	PUNCT
ejpam-5464	444	7	a.m.khalil	a.m.khalil	PROPN
ejpam-5464	444	8	.	.	PUNCT
ejpam-5464	445	1	medical	medical	ADJ
ejpam-5464	445	2	applications	application	NOUN
ejpam-5464	445	3	via	via	ADP
ejpam-5464	445	4	minimal	minimal	ADJ
ejpam-5464	445	5	topological	topological	ADJ
ejpam-5464	445	6	structure	structure	NOUN
ejpam-5464	445	7	.	.	PUNCT
ejpam-5464	446	1	journal	journal	NOUN
ejpam-5464	446	2	of	of	ADP
ejpam-5464	446	3	intelligent	intelligent	ADJ
ejpam-5464	446	4	&	&	CCONJ
ejpam-5464	446	5	fuzzy	fuzzy	ADJ
ejpam-5464	446	6	systems	system	NOUN
ejpam-5464	446	7	,	,	PUNCT
ejpam-5464	446	8	39(3):4723–4730	39(3):4723–4730	NUM
ejpam-5464	446	9	,	,	PUNCT
ejpam-5464	446	10	2020	2020	NUM
ejpam-5464	446	11	.	.	PUNCT
ejpam-5464	447	1	[	[	X
ejpam-5464	447	2	5	5	NUM
ejpam-5464	447	3	]	]	PUNCT
ejpam-5464	447	4	a.a.el	a.a.el	PROPN
ejpam-5464	447	5	atik	atik	PROPN
ejpam-5464	447	6	a.s	a.s	PROPN
ejpam-5464	447	7	.	.	PROPN
ejpam-5464	447	8	nawar	nawar	PROPN
ejpam-5464	447	9	.	.	PUNCT
ejpam-5464	448	1	a	a	DET
ejpam-5464	448	2	model	model	NOUN
ejpam-5464	448	3	of	of	ADP
ejpam-5464	448	4	a	a	DET
ejpam-5464	448	5	human	human	ADJ
ejpam-5464	448	6	heart	heart	NOUN
ejpam-5464	448	7	via	via	ADP
ejpam-5464	448	8	graph	graph	VERB
ejpam-5464	448	9	nano	nano	NOUN
ejpam-5464	448	10	topological	topological	ADJ
ejpam-5464	448	11	spaces	space	NOUN
ejpam-5464	448	12	.	.	PUNCT
ejpam-5464	449	1	international	international	ADJ
ejpam-5464	449	2	journal	journal	PROPN
ejpam-5464	449	3	of	of	ADP
ejpam-5464	449	4	biomathematics	biomathematic	NOUN
ejpam-5464	449	5	,	,	PUNCT
ejpam-5464	449	6	12(1):1950006	12(1):1950006	NUM
ejpam-5464	449	7	,	,	PUNCT
ejpam-5464	449	8	2019	2019	NUM
ejpam-5464	449	9	.	.	PUNCT
ejpam-5464	450	1	references	reference	NOUN
ejpam-5464	450	2	3582	3582	NUM
ejpam-5464	450	3	[	[	X
ejpam-5464	450	4	6	6	NUM
ejpam-5464	450	5	]	]	PUNCT
ejpam-5464	450	6	p.	p.	PROPN
ejpam-5464	450	7	f.	f.	PROPN
ejpam-5464	450	8	stadler	stadler	PROPN
ejpam-5464	450	9	b.	b.	PROPN
ejpam-5464	450	10	m.	m.	PROPN
ejpam-5464	450	11	r.	r.	PROPN
ejpam-5464	450	12	stadler	stadler	PROPN
ejpam-5464	450	13	.	.	PUNCT
ejpam-5464	451	1	generalized	generalize	VERB
ejpam-5464	451	2	topological	topological	ADJ
ejpam-5464	451	3	spaces	space	NOUN
ejpam-5464	451	4	in	in	ADP
ejpam-5464	451	5	evolutionary	evolutionary	ADJ
ejpam-5464	451	6	theory	theory	NOUN
ejpam-5464	451	7	and	and	CCONJ
ejpam-5464	451	8	combinatorial	combinatorial	ADJ
ejpam-5464	451	9	chemistry	chemistry	NOUN
ejpam-5464	451	10	.	.	PUNCT
ejpam-5464	452	1	chemical	chemical	ADJ
ejpam-5464	452	2	information	information	NOUN
ejpam-5464	452	3	and	and	CCONJ
ejpam-5464	452	4	computer	computer	NOUN
ejpam-5464	452	5	sciences	science	NOUN
ejpam-5464	452	6	,	,	PUNCT
ejpam-5464	452	7	42(3):577–585	42(3):577–585	NUM
ejpam-5464	452	8	,	,	PUNCT
ejpam-5464	452	9	2002	2002	NUM
ejpam-5464	452	10	.	.	PUNCT
ejpam-5464	453	1	[	[	X
ejpam-5464	453	2	7	7	X
ejpam-5464	453	3	]	]	PUNCT
ejpam-5464	453	4	e.kerre	e.kerre	VERB
ejpam-5464	453	5	b.de	b.de	PROPN
ejpam-5464	453	6	baets	baet	NOUN
ejpam-5464	453	7	.	.	PUNCT
ejpam-5464	454	1	a	a	DET
ejpam-5464	454	2	revision	revision	NOUN
ejpam-5464	454	3	of	of	ADP
ejpam-5464	454	4	bandler	bandler	NOUN
ejpam-5464	454	5	-	-	PUNCT
ejpam-5464	454	6	kohout	kohout	NOUN
ejpam-5464	454	7	compositions	composition	NOUN
ejpam-5464	454	8	of	of	ADP
ejpam-5464	454	9	relations	relation	NOUN
ejpam-5464	454	10	.	.	PUNCT
ejpam-5464	455	1	journal	journal	PROPN
ejpam-5464	455	2	of	of	ADP
ejpam-5464	455	3	mathematica	mathematica	PROPN
ejpam-5464	455	4	pannonica	pannonica	PROPN
ejpam-5464	455	5	,	,	PUNCT
ejpam-5464	455	6	39:59–78	39:59–78	NUM
ejpam-5464	455	7	,	,	PUNCT
ejpam-5464	455	8	1993	1993	NUM
ejpam-5464	455	9	.	.	PUNCT
ejpam-5464	456	1	[	[	X
ejpam-5464	456	2	8	8	NUM
ejpam-5464	456	3	]	]	X
ejpam-5464	456	4	g.	g.	PROPN
ejpam-5464	456	5	cattaneo	cattaneo	PROPN
ejpam-5464	456	6	.	.	PUNCT
ejpam-5464	457	1	abstract	abstract	ADJ
ejpam-5464	457	2	approximation	approximation	NOUN
ejpam-5464	457	3	spaces	space	NOUN
ejpam-5464	457	4	for	for	ADP
ejpam-5464	457	5	rough	rough	ADJ
ejpam-5464	457	6	theories	theory	NOUN
ejpam-5464	457	7	.	.	PUNCT
ejpam-5464	458	1	rough	rough	ADJ
ejpam-5464	458	2	sets	set	NOUN
ejpam-5464	458	3	in	in	ADP
ejpam-5464	458	4	knowledge	knowledge	NOUN
ejpam-5464	458	5	discovery	discovery	NOUN
ejpam-5464	458	6	,	,	PUNCT
ejpam-5464	458	7	1:59–98	1:59–98	NUM
ejpam-5464	458	8	,	,	PUNCT
ejpam-5464	458	9	1998	1998	NUM
ejpam-5464	458	10	.	.	PUNCT
ejpam-5464	459	1	[	[	X
ejpam-5464	459	2	9	9	NUM
ejpam-5464	459	3	]	]	PUNCT
ejpam-5464	459	4	w.f.pfeffer	w.f.pfeffer	NOUN
ejpam-5464	459	5	e.	e.	PROPN
ejpam-5464	459	6	k.douwen	k.douwen	PROPN
ejpam-5464	459	7	.	.	PUNCT
ejpam-5464	460	1	some	some	DET
ejpam-5464	460	2	properties	property	NOUN
ejpam-5464	460	3	of	of	ADP
ejpam-5464	460	4	the	the	DET
ejpam-5464	460	5	sorgenfrey	sorgenfrey	PROPN
ejpam-5464	460	6	line	line	NOUN
ejpam-5464	460	7	and	and	CCONJ
ejpam-5464	460	8	related	related	ADJ
ejpam-5464	460	9	spaces	space	NOUN
ejpam-5464	460	10	.	.	PUNCT
ejpam-5464	461	1	pacific	pacific	PROPN
ejpam-5464	461	2	journal	journal	PROPN
ejpam-5464	461	3	of	of	ADP
ejpam-5464	461	4	mathematics	mathematics	PROPN
ejpam-5464	461	5	,	,	PUNCT
ejpam-5464	461	6	81(2):371–377	81(2):371–377	PROPN
ejpam-5464	461	7	,	,	PUNCT
ejpam-5464	461	8	1979	1979	NUM
ejpam-5464	461	9	.	.	PUNCT
ejpam-5464	462	1	[	[	X
ejpam-5464	462	2	10	10	NUM
ejpam-5464	462	3	]	]	PUNCT
ejpam-5464	462	4	m.k.el	m.k.el	NOUN
ejpam-5464	462	5	-	-	ADJ
ejpam-5464	462	6	bably	bably	ADV
ejpam-5464	462	7	e.a.abo	e.a.abo	NOUN
ejpam-5464	462	8	-	-	PUNCT
ejpam-5464	462	9	tabl	tabl	NOUN
ejpam-5464	462	10	.	.	PUNCT
ejpam-5464	463	1	rough	rough	ADJ
ejpam-5464	463	2	topological	topological	ADJ
ejpam-5464	463	3	structure	structure	NOUN
ejpam-5464	463	4	based	base	VERB
ejpam-5464	463	5	on	on	ADP
ejpam-5464	463	6	reflexivity	reflexivity	NOUN
ejpam-5464	463	7	with	with	ADP
ejpam-5464	463	8	some	some	DET
ejpam-5464	463	9	applications	application	NOUN
ejpam-5464	463	10	.	.	PUNCT
ejpam-5464	464	1	aims	aim	VERB
ejpam-5464	464	2	mathematics	mathematic	NOUN
ejpam-5464	464	3	,	,	PUNCT
ejpam-5464	464	4	7:9911–9922	7:9911–9922	NUM
ejpam-5464	464	5	,	,	PUNCT
ejpam-5464	464	6	2022	2022	NUM
ejpam-5464	464	7	.	.	PUNCT
ejpam-5464	465	1	[	[	X
ejpam-5464	465	2	11	11	NUM
ejpam-5464	465	3	]	]	PUNCT
ejpam-5464	465	4	e.bryniarski	e.bryniarski	VERB
ejpam-5464	465	5	.	.	PUNCT
ejpam-5464	466	1	a	a	DET
ejpam-5464	466	2	calculus	calculus	NOUN
ejpam-5464	466	3	of	of	ADP
ejpam-5464	466	4	rough	rough	ADJ
ejpam-5464	466	5	sets	set	NOUN
ejpam-5464	466	6	of	of	ADP
ejpam-5464	466	7	the	the	DET
ejpam-5464	466	8	first	first	ADJ
ejpam-5464	466	9	order	order	NOUN
ejpam-5464	466	10	.	.	PUNCT
ejpam-5464	467	1	bulletin	bulletin	NOUN
ejpam-5464	467	2	of	of	ADP
ejpam-5464	467	3	the	the	DET
ejpam-5464	467	4	polish	polish	PROPN
ejpam-5464	467	5	academy	academy	PROPN
ejpam-5464	467	6	of	of	ADP
ejpam-5464	467	7	sciences	sciences	PROPN
ejpam-5464	467	8	.	.	PUNCT
ejpam-5464	468	1	mathematics	mathematic	NOUN
ejpam-5464	468	2	,	,	PUNCT
ejpam-5464	468	3	37(1	37(1	NUM
ejpam-5464	468	4	-	-	SYM
ejpam-5464	468	5	6):71–78	6):71–78	NUM
ejpam-5464	468	6	,	,	PUNCT
ejpam-5464	468	7	1989	1989	NUM
ejpam-5464	468	8	.	.	PUNCT
ejpam-5464	469	1	[	[	X
ejpam-5464	469	2	12	12	NUM
ejpam-5464	469	3	]	]	PUNCT
ejpam-5464	469	4	m.	m.	NOUN
ejpam-5464	469	5	a.	a.	PROPN
ejpam-5464	469	6	el	el	PROPN
ejpam-5464	469	7	-	-	PROPN
ejpam-5464	469	8	gayar	gayar	PROPN
ejpam-5464	469	9	,	,	PUNCT
ejpam-5464	469	10	r.	r.	PROPN
ejpam-5464	469	11	abu	abu	PROPN
ejpam-5464	469	12	-	-	PUNCT
ejpam-5464	469	13	gdairi	gdairi	PROPN
ejpam-5464	469	14	,	,	PUNCT
ejpam-5464	469	15	m.	m.	PROPN
ejpam-5464	469	16	k.	k.	PROPN
ejpam-5464	470	1	el	el	PROPN
ejpam-5464	470	2	-	-	PROPN
ejpam-5464	470	3	bably	bably	ADV
ejpam-5464	470	4	,	,	PUNCT
ejpam-5464	470	5	and	and	CCONJ
ejpam-5464	470	6	d.	d.	PROPN
ejpam-5464	470	7	i.	i.	PROPN
ejpam-5464	470	8	taher	taher	PROPN
ejpam-5464	470	9	.	.	PUNCT
ejpam-5464	471	1	economic	economic	ADJ
ejpam-5464	471	2	decisionmaking	decisionmaking	NOUN
ejpam-5464	471	3	using	use	VERB
ejpam-5464	471	4	rough	rough	ADJ
ejpam-5464	471	5	topological	topological	ADJ
ejpam-5464	471	6	structures	structure	NOUN
ejpam-5464	471	7	.	.	PUNCT
ejpam-5464	472	1	j.	j.	PROPN
ejpam-5464	472	2	math	math	PROPN
ejpam-5464	472	3	.	.	PUNCT
ejpam-5464	472	4	,	,	PUNCT
ejpam-5464	472	5	2023(1):article	2023(1):article	NUM
ejpam-5464	472	6	i	i	NOUN
ejpam-5464	472	7	d	d	PROPN
ejpam-5464	472	8	4723233	4723233	NUM
ejpam-5464	472	9	,	,	PUNCT
ejpam-5464	472	10	14	14	NUM
ejpam-5464	472	11	pages	page	NOUN
ejpam-5464	472	12	,	,	PUNCT
ejpam-5464	472	13	2023	2023	NUM
ejpam-5464	472	14	.	.	PUNCT
ejpam-5464	473	1	[	[	X
ejpam-5464	473	2	13	13	NUM
ejpam-5464	473	3	]	]	PUNCT
ejpam-5464	473	4	m.	m.	NOUN
ejpam-5464	473	5	m.	m.	PROPN
ejpam-5464	473	6	el	el	PROPN
ejpam-5464	473	7	-	-	PROPN
ejpam-5464	473	8	sharkasy	sharkasy	PROPN
ejpam-5464	473	9	.	.	PUNCT
ejpam-5464	474	1	minimal	minimal	ADJ
ejpam-5464	474	2	structure	structure	NOUN
ejpam-5464	474	3	approximation	approximation	NOUN
ejpam-5464	474	4	space	space	NOUN
ejpam-5464	474	5	and	and	CCONJ
ejpam-5464	474	6	some	some	PRON
ejpam-5464	474	7	of	of	ADP
ejpam-5464	474	8	its	its	PRON
ejpam-5464	474	9	application	application	NOUN
ejpam-5464	474	10	.	.	PUNCT
ejpam-5464	475	1	journal	journal	NOUN
ejpam-5464	475	2	of	of	ADP
ejpam-5464	475	3	intelligent	intelligent	ADJ
ejpam-5464	475	4	&	&	CCONJ
ejpam-5464	475	5	fuzzy	fuzzy	ADJ
ejpam-5464	475	6	systems	system	NOUN
ejpam-5464	475	7	,	,	PUNCT
ejpam-5464	475	8	40(1):973–982	40(1):973–982	NOUN
ejpam-5464	475	9	,	,	PUNCT
ejpam-5464	475	10	2021	2021	NUM
ejpam-5464	475	11	.	.	PUNCT
ejpam-5464	476	1	[	[	X
ejpam-5464	476	2	14	14	NUM
ejpam-5464	476	3	]	]	PUNCT
ejpam-5464	476	4	a.	a.	PROPN
ejpam-5464	476	5	galton	galton	PROPN
ejpam-5464	476	6	.	.	PUNCT
ejpam-5464	477	1	a	a	DET
ejpam-5464	477	2	generalized	generalized	ADJ
ejpam-5464	477	3	topological	topological	ADJ
ejpam-5464	477	4	view	view	NOUN
ejpam-5464	477	5	of	of	ADP
ejpam-5464	477	6	motion	motion	NOUN
ejpam-5464	477	7	in	in	ADP
ejpam-5464	477	8	discrete	discrete	ADJ
ejpam-5464	477	9	space	space	NOUN
ejpam-5464	477	10	.	.	PUNCT
ejpam-5464	478	1	theoretical	theoretical	ADJ
ejpam-5464	478	2	computer	computer	NOUN
ejpam-5464	478	3	science	science	NOUN
ejpam-5464	478	4	,	,	PUNCT
ejpam-5464	478	5	305(1	305(1	NUM
ejpam-5464	478	6	-	-	SYM
ejpam-5464	478	7	3):111–134	3):111–134	NUM
ejpam-5464	478	8	,	,	PUNCT
ejpam-5464	478	9	2003	2003	NUM
ejpam-5464	478	10	.	.	PUNCT
ejpam-5464	479	1	[	[	X
ejpam-5464	479	2	15	15	NUM
ejpam-5464	479	3	]	]	X
ejpam-5464	479	4	h.	h.	PROPN
ejpam-5464	479	5	h.	h.	PROPN
ejpam-5464	479	6	hung	hung	PROPN
ejpam-5464	479	7	.	.	PUNCT
ejpam-5464	480	1	symmetric	symmetric	PROPN
ejpam-5464	480	2	and	and	CCONJ
ejpam-5464	480	3	tufted	tufte	VERB
ejpam-5464	480	4	assignments	assignment	NOUN
ejpam-5464	480	5	of	of	ADP
ejpam-5464	480	6	neighborhoods	neighborhood	NOUN
ejpam-5464	480	7	and	and	CCONJ
ejpam-5464	480	8	metrization	metrization	PROPN
ejpam-5464	480	9	.	.	PUNCT
ejpam-5464	481	1	topol	topol	PROPN
ejpam-5464	481	2	.	.	PUNCT
ejpam-5464	482	1	appl	appl	PROPN
ejpam-5464	482	2	.	.	PROPN
ejpam-5464	482	3	,	,	PUNCT
ejpam-5464	482	4	155:2137–2142	155:2137–2142	NUM
ejpam-5464	482	5	,	,	PUNCT
ejpam-5464	482	6	2008	2008	NUM
ejpam-5464	482	7	.	.	PUNCT
ejpam-5464	483	1	[	[	X
ejpam-5464	483	2	16	16	NUM
ejpam-5464	483	3	]	]	X
ejpam-5464	483	4	j.	j.	PROPN
ejpam-5464	483	5	kelley	kelley	PROPN
ejpam-5464	483	6	.	.	PUNCT
ejpam-5464	483	7	general	general	ADJ
ejpam-5464	483	8	topology	topology	PROPN
ejpam-5464	483	9	.	.	PUNCT
ejpam-5464	484	1	van	van	PROPN
ejpam-5464	484	2	nostrand	nostrand	PROPN
ejpam-5464	484	3	company	company	NOUN
ejpam-5464	484	4	,	,	PUNCT
ejpam-5464	484	5	1955	1955	NUM
ejpam-5464	484	6	.	.	PUNCT
ejpam-5464	485	1	[	[	X
ejpam-5464	485	2	17	17	NUM
ejpam-5464	485	3	]	]	PUNCT
ejpam-5464	485	4	a.	a.	NOUN
ejpam-5464	485	5	m.	m.	NOUN
ejpam-5464	485	6	kozae	kozae	PROPN
ejpam-5464	485	7	,	,	PUNCT
ejpam-5464	485	8	s.	s.	PROPN
ejpam-5464	485	9	a.	a.	PROPN
ejpam-5464	485	10	el	el	PROPN
ejpam-5464	485	11	-	-	PUNCT
ejpam-5464	485	12	sheikh	sheikh	PROPN
ejpam-5464	485	13	,	,	PUNCT
ejpam-5464	485	14	e.	e.	PROPN
ejpam-5464	485	15	a.	a.	PROPN
ejpam-5464	485	16	aly	aly	PROPN
ejpam-5464	485	17	,	,	PUNCT
ejpam-5464	485	18	and	and	CCONJ
ejpam-5464	485	19	m.	m.	PROPN
ejpam-5464	485	20	hosny	hosny	PROPN
ejpam-5464	485	21	.	.	PUNCT
ejpam-5464	486	1	rough	rough	ADJ
ejpam-5464	486	2	sets	set	NOUN
ejpam-5464	486	3	and	and	CCONJ
ejpam-5464	486	4	its	its	PRON
ejpam-5464	486	5	applications	application	NOUN
ejpam-5464	486	6	in	in	ADP
ejpam-5464	486	7	a	a	DET
ejpam-5464	486	8	computer	computer	NOUN
ejpam-5464	486	9	network	network	NOUN
ejpam-5464	486	10	.	.	PUNCT
ejpam-5464	487	1	annals	annal	NOUN
ejpam-5464	487	2	of	of	ADP
ejpam-5464	487	3	fuzzy	fuzzy	ADJ
ejpam-5464	487	4	mathematics	mathematic	NOUN
ejpam-5464	487	5	and	and	CCONJ
ejpam-5464	487	6	informatics	informatic	NOUN
ejpam-5464	487	7	,	,	PUNCT
ejpam-5464	487	8	6(3):605–624	6(3):605–624	PRON
ejpam-5464	487	9	,	,	PUNCT
ejpam-5464	487	10	2013	2013	NUM
ejpam-5464	487	11	.	.	PUNCT
ejpam-5464	488	1	[	[	X
ejpam-5464	488	2	18	18	NUM
ejpam-5464	488	3	]	]	PUNCT
ejpam-5464	488	4	t.	t.	PROPN
ejpam-5464	488	5	y.	y.	PROPN
ejpam-5464	488	6	lin	lin	PROPN
ejpam-5464	488	7	.	.	PUNCT
ejpam-5464	489	1	neighborhood	neighborhood	NOUN
ejpam-5464	489	2	systems	system	NOUN
ejpam-5464	489	3	and	and	CCONJ
ejpam-5464	489	4	relational	relational	ADJ
ejpam-5464	489	5	databases	database	NOUN
ejpam-5464	489	6	.	.	PUNCT
ejpam-5464	490	1	in	in	ADP
ejpam-5464	490	2	proceedings	proceeding	NOUN
ejpam-5464	490	3	of	of	ADP
ejpam-5464	490	4	the	the	DET
ejpam-5464	490	5	1988	1988	NUM
ejpam-5464	490	6	acm	acm	PROPN
ejpam-5464	490	7	sixteenth	sixteenth	ADJ
ejpam-5464	490	8	annual	annual	ADJ
ejpam-5464	490	9	conference	conference	NOUN
ejpam-5464	490	10	on	on	ADP
ejpam-5464	490	11	computer	computer	NOUN
ejpam-5464	490	12	science	science	NOUN
ejpam-5464	490	13	,	,	PUNCT
ejpam-5464	490	14	page	page	NOUN
ejpam-5464	490	15	725	725	NUM
ejpam-5464	490	16	,	,	PUNCT
ejpam-5464	490	17	1988	1988	NUM
ejpam-5464	490	18	.	.	PUNCT
ejpam-5464	491	1	[	[	X
ejpam-5464	491	2	19	19	NUM
ejpam-5464	491	3	]	]	PUNCT
ejpam-5464	491	4	t.	t.	PROPN
ejpam-5464	491	5	y.	y.	PROPN
ejpam-5464	491	6	lin	lin	PROPN
ejpam-5464	491	7	.	.	PUNCT
ejpam-5464	492	1	topological	topological	ADJ
ejpam-5464	492	2	and	and	CCONJ
ejpam-5464	492	3	fuzzy	fuzzy	ADJ
ejpam-5464	492	4	rough	rough	ADJ
ejpam-5464	492	5	sets	set	NOUN
ejpam-5464	492	6	,	,	PUNCT
ejpam-5464	492	7	pages	page	NOUN
ejpam-5464	492	8	287–304	287–304	NUM
ejpam-5464	492	9	.	.	PUNCT
ejpam-5464	492	10	springer	springer	NOUN
ejpam-5464	492	11	,	,	PUNCT
ejpam-5464	492	12	1992	1992	NUM
ejpam-5464	492	13	.	.	PUNCT
ejpam-5464	493	1	[	[	X
ejpam-5464	493	2	20	20	NUM
ejpam-5464	493	3	]	]	PUNCT
ejpam-5464	493	4	t.	t.	PROPN
ejpam-5464	493	5	y.	y.	PROPN
ejpam-5464	493	6	lin	lin	PROPN
ejpam-5464	493	7	.	.	PUNCT
ejpam-5464	494	1	neighborhood	neighborhood	NOUN
ejpam-5464	494	2	systems	system	NOUN
ejpam-5464	494	3	-	-	PUNCT
ejpam-5464	494	4	a	a	DET
ejpam-5464	494	5	qualitative	qualitative	ADJ
ejpam-5464	494	6	theory	theory	NOUN
ejpam-5464	494	7	for	for	ADP
ejpam-5464	494	8	fuzzy	fuzzy	ADJ
ejpam-5464	494	9	and	and	CCONJ
ejpam-5464	494	10	rough	rough	ADJ
ejpam-5464	494	11	sets	set	NOUN
ejpam-5464	494	12	.	.	PUNCT
ejpam-5464	495	1	advances	advance	NOUN
ejpam-5464	495	2	in	in	ADP
ejpam-5464	495	3	machine	machine	NOUN
ejpam-5464	495	4	intelligence	intelligence	NOUN
ejpam-5464	495	5	and	and	CCONJ
ejpam-5464	495	6	soft	soft	ADJ
ejpam-5464	495	7	computing	computing	NOUN
ejpam-5464	495	8	,	,	PUNCT
ejpam-5464	495	9	4:132–155	4:132–155	NOUN
ejpam-5464	495	10	,	,	PUNCT
ejpam-5464	495	11	1997	1997	NUM
ejpam-5464	495	12	.	.	PUNCT
ejpam-5464	496	1	[	[	X
ejpam-5464	496	2	21	21	NUM
ejpam-5464	496	3	]	]	X
ejpam-5464	496	4	g.	g.	PROPN
ejpam-5464	496	5	l.	l.	PROPN
ejpam-5464	496	6	liu	liu	PROPN
ejpam-5464	496	7	.	.	PUNCT
ejpam-5464	497	1	using	use	VERB
ejpam-5464	497	2	one	one	NUM
ejpam-5464	497	3	axiom	axiom	NOUN
ejpam-5464	497	4	to	to	PART
ejpam-5464	497	5	characterize	characterize	VERB
ejpam-5464	497	6	rough	rough	ADJ
ejpam-5464	497	7	set	set	NOUN
ejpam-5464	497	8	and	and	CCONJ
ejpam-5464	497	9	fuzzy	fuzzy	ADJ
ejpam-5464	497	10	rough	rough	ADJ
ejpam-5464	497	11	set	set	NOUN
ejpam-5464	497	12	approximations	approximation	NOUN
ejpam-5464	497	13	.	.	PUNCT
ejpam-5464	498	1	information	information	NOUN
ejpam-5464	498	2	sciences	sciences	PROPN
ejpam-5464	498	3	,	,	PUNCT
ejpam-5464	498	4	223:285–296	223:285–296	NUM
ejpam-5464	498	5	,	,	PUNCT
ejpam-5464	498	6	2013	2013	NUM
ejpam-5464	498	7	.	.	PUNCT
ejpam-5464	499	1	references	reference	NOUN
ejpam-5464	499	2	3583	3583	NUM
ejpam-5464	500	1	[	[	X
ejpam-5464	500	2	22	22	NUM
ejpam-5464	500	3	]	]	PUNCT
ejpam-5464	500	4	a.a.el	a.a.el	PROPN
ejpam-5464	500	5	-	-	PUNCT
ejpam-5464	500	6	atik	atik	PROPN
ejpam-5464	500	7	m.	m.	PROPN
ejpam-5464	500	8	k.	k.	PROPN
ejpam-5464	501	1	el	el	PROPN
ejpam-5464	501	2	-	-	PROPN
ejpam-5464	501	3	bably	bably	ADV
ejpam-5464	501	4	.	.	PUNCT
ejpam-5464	502	1	soft	soft	ADJ
ejpam-5464	502	2	β	β	NOUN
ejpam-5464	502	3	-	-	ADJ
ejpam-5464	502	4	rough	rough	ADJ
ejpam-5464	502	5	sets	set	NOUN
ejpam-5464	502	6	and	and	CCONJ
ejpam-5464	502	7	their	their	PRON
ejpam-5464	502	8	application	application	NOUN
ejpam-5464	502	9	to	to	PART
ejpam-5464	502	10	determine	determine	VERB
ejpam-5464	502	11	covid-19	covid-19	PROPN
ejpam-5464	502	12	.	.	PUNCT
ejpam-5464	503	1	turkish	turkish	ADJ
ejpam-5464	503	2	journal	journal	PROPN
ejpam-5464	503	3	of	of	ADP
ejpam-5464	503	4	mathematics	mathematic	NOUN
ejpam-5464	503	5	,	,	PUNCT
ejpam-5464	503	6	45(3):1133–1148	45(3):1133–1148	NUM
ejpam-5464	503	7	,	,	PUNCT
ejpam-5464	503	8	2021	2021	NUM
ejpam-5464	503	9	.	.	PUNCT
ejpam-5464	504	1	[	[	X
ejpam-5464	504	2	23	23	NUM
ejpam-5464	504	3	]	]	X
ejpam-5464	504	4	r.	r.	PROPN
ejpam-5464	504	5	e.	e.	PROPN
ejpam-5464	504	6	aly	aly	PROPN
ejpam-5464	504	7	m.	m.	PROPN
ejpam-5464	504	8	shokry	shokry	PROPN
ejpam-5464	504	9	.	.	PUNCT
ejpam-5464	505	1	topological	topological	ADJ
ejpam-5464	505	2	properties	property	NOUN
ejpam-5464	505	3	on	on	ADP
ejpam-5464	505	4	graph	graph	NOUN
ejpam-5464	505	5	vs	vs	ADP
ejpam-5464	505	6	medical	medical	ADJ
ejpam-5464	505	7	application	application	NOUN
ejpam-5464	505	8	in	in	ADP
ejpam-5464	505	9	human	human	ADJ
ejpam-5464	505	10	heart	heart	NOUN
ejpam-5464	505	11	.	.	PUNCT
ejpam-5464	506	1	int	int	NOUN
ejpam-5464	506	2	.	.	PUNCT
ejpam-5464	507	1	j.	j.	PROPN
ejpam-5464	507	2	appl	appl	PROPN
ejpam-5464	507	3	.	.	PROPN
ejpam-5464	507	4	math	math	PROPN
ejpam-5464	507	5	.	.	PUNCT
ejpam-5464	507	6	,	,	PUNCT
ejpam-5464	507	7	15:1103–1108	15:1103–1108	NUM
ejpam-5464	507	8	,	,	PUNCT
ejpam-5464	507	9	2013	2013	NUM
ejpam-5464	507	10	.	.	PUNCT
ejpam-5464	508	1	[	[	X
ejpam-5464	508	2	24	24	NUM
ejpam-5464	508	3	]	]	X
ejpam-5464	508	4	r.	r.	PROPN
ejpam-5464	508	5	mareay	mareay	PROPN
ejpam-5464	508	6	.	.	PUNCT
ejpam-5464	509	1	generalized	generalize	VERB
ejpam-5464	509	2	rough	rough	ADJ
ejpam-5464	509	3	sets	set	NOUN
ejpam-5464	509	4	based	base	VERB
ejpam-5464	509	5	on	on	ADP
ejpam-5464	509	6	neighborhood	neighborhood	NOUN
ejpam-5464	509	7	systems	system	NOUN
ejpam-5464	509	8	and	and	CCONJ
ejpam-5464	509	9	topological	topological	ADJ
ejpam-5464	509	10	spaces	space	NOUN
ejpam-5464	509	11	.	.	PUNCT
ejpam-5464	510	1	journal	journal	NOUN
ejpam-5464	510	2	of	of	ADP
ejpam-5464	510	3	the	the	DET
ejpam-5464	510	4	egyptian	egyptian	PROPN
ejpam-5464	510	5	mathematical	mathematical	PROPN
ejpam-5464	510	6	society	society	NOUN
ejpam-5464	510	7	,	,	PUNCT
ejpam-5464	510	8	24(4):603–608	24(4):603–608	PROPN
ejpam-5464	510	9	,	,	PUNCT
ejpam-5464	510	10	2016	2016	NUM
ejpam-5464	510	11	.	.	PUNCT
ejpam-5464	511	1	[	[	X
ejpam-5464	511	2	25	25	NUM
ejpam-5464	511	3	]	]	X
ejpam-5464	511	4	m.k	m.k	PROPN
ejpam-5464	511	5	.	.	PUNCT
ejpam-5464	512	1	el	el	PROPN
ejpam-5464	512	2	-	-	ADJ
ejpam-5464	512	3	bably	bably	PROPN
ejpam-5464	512	4	m.e.abd	m.e.abd	PROPN
ejpam-5464	512	5	el	el	PROPN
ejpam-5464	512	6	-	-	PUNCT
ejpam-5464	512	7	monsef	monsef	ADJ
ejpam-5464	512	8	,	,	PUNCT
ejpam-5464	512	9	o.a.embaby	o.a.embaby	NOUN
ejpam-5464	512	10	.	.	PUNCT
ejpam-5464	513	1	comparison	comparison	NOUN
ejpam-5464	513	2	between	between	ADP
ejpam-5464	513	3	rough	rough	ADJ
ejpam-5464	513	4	set	set	VERB
ejpam-5464	513	5	approximations	approximation	NOUN
ejpam-5464	513	6	based	base	VERB
ejpam-5464	513	7	on	on	ADP
ejpam-5464	513	8	different	different	ADJ
ejpam-5464	513	9	topologies	topology	NOUN
ejpam-5464	513	10	.	.	PUNCT
ejpam-5464	514	1	international	international	ADJ
ejpam-5464	514	2	journal	journal	NOUN
ejpam-5464	514	3	of	of	ADP
ejpam-5464	514	4	granular	granular	ADJ
ejpam-5464	514	5	computing	computing	NOUN
ejpam-5464	514	6	,	,	PUNCT
ejpam-5464	514	7	rough	rough	ADJ
ejpam-5464	514	8	sets	set	NOUN
ejpam-5464	514	9	and	and	CCONJ
ejpam-5464	514	10	intelligent	intelligent	ADJ
ejpam-5464	514	11	systems	system	NOUN
ejpam-5464	514	12	,	,	PUNCT
ejpam-5464	514	13	3(4):292–305	3(4):292–305	NUM
ejpam-5464	514	14	,	,	PUNCT
ejpam-5464	514	15	2014	2014	NUM
ejpam-5464	514	16	.	.	PUNCT
ejpam-5464	515	1	[	[	X
ejpam-5464	515	2	26	26	NUM
ejpam-5464	515	3	]	]	X
ejpam-5464	515	4	e.a	e.a	PROPN
ejpam-5464	515	5	.	.	PROPN
ejpam-5464	515	6	abo	abo	PROPN
ejpam-5464	515	7	-	-	PUNCT
ejpam-5464	515	8	tabl	tabl	NOUN
ejpam-5464	515	9	m.i.ali	m.i.ali	PROPN
ejpam-5464	515	10	,	,	PUNCT
ejpam-5464	515	11	m.k	m.k	PROPN
ejpam-5464	515	12	.	.	PUNCT
ejpam-5464	515	13	el	el	PROPN
ejpam-5464	515	14	-	-	PROPN
ejpam-5464	515	15	bably	bably	ADV
ejpam-5464	515	16	.	.	PUNCT
ejpam-5464	516	1	topological	topological	ADJ
ejpam-5464	516	2	approach	approach	NOUN
ejpam-5464	516	3	to	to	ADP
ejpam-5464	516	4	generalized	generalize	VERB
ejpam-5464	516	5	soft	soft	ADJ
ejpam-5464	516	6	rough	rough	ADJ
ejpam-5464	516	7	sets	set	NOUN
ejpam-5464	516	8	via	via	ADP
ejpam-5464	516	9	near	near	ADJ
ejpam-5464	516	10	concepts	concept	NOUN
ejpam-5464	516	11	.	.	PUNCT
ejpam-5464	517	1	soft	soft	ADJ
ejpam-5464	517	2	comput	comput	NOUN
ejpam-5464	517	3	.	.	PUNCT
ejpam-5464	517	4	,	,	PUNCT
ejpam-5464	517	5	26:499–509	26:499–509	NUM
ejpam-5464	517	6	,	,	PUNCT
ejpam-5464	517	7	2022	2022	NUM
ejpam-5464	517	8	.	.	PUNCT
ejpam-5464	518	1	[	[	X
ejpam-5464	518	2	27	27	NUM
ejpam-5464	518	3	]	]	X
ejpam-5464	518	4	e.	e.	PROPN
ejpam-5464	518	5	orlowska	orlowska	PROPN
ejpam-5464	518	6	.	.	PUNCT
ejpam-5464	519	1	semantic	semantic	ADJ
ejpam-5464	519	2	analysis	analysis	NOUN
ejpam-5464	519	3	of	of	ADP
ejpam-5464	519	4	inductive	inductive	ADJ
ejpam-5464	519	5	reasoning	reasoning	NOUN
ejpam-5464	519	6	.	.	PUNCT
ejpam-5464	520	1	theoretical	theoretical	ADJ
ejpam-5464	520	2	computer	computer	NOUN
ejpam-5464	520	3	science	science	NOUN
ejpam-5464	520	4	,	,	PUNCT
ejpam-5464	520	5	43:81–89	43:81–89	NUM
ejpam-5464	520	6	,	,	PUNCT
ejpam-5464	520	7	1986	1986	NUM
ejpam-5464	520	8	.	.	PUNCT
ejpam-5464	521	1	[	[	X
ejpam-5464	521	2	28	28	NUM
ejpam-5464	521	3	]	]	PUNCT
ejpam-5464	521	4	z.	z.	PROPN
ejpam-5464	521	5	pawlak	pawlak	PROPN
ejpam-5464	521	6	.	.	PUNCT
ejpam-5464	522	1	rough	rough	ADJ
ejpam-5464	522	2	sets	set	NOUN
ejpam-5464	522	3	.	.	PUNCT
ejpam-5464	523	1	int	int	NOUN
ejpam-5464	523	2	.	.	PUNCT
ejpam-5464	524	1	j.	j.	PROPN
ejpam-5464	524	2	information	information	PROPN
ejpam-5464	524	3	comput	comput	PROPN
ejpam-5464	524	4	.	.	PUNCT
ejpam-5464	525	1	sci	sci	PROPN
ejpam-5464	525	2	,	,	PUNCT
ejpam-5464	525	3	11(5):341–356	11(5):341–356	PROPN
ejpam-5464	525	4	,	,	PUNCT
ejpam-5464	525	5	1982	1982	NUM
ejpam-5464	525	6	.	.	PUNCT
ejpam-5464	526	1	[	[	X
ejpam-5464	526	2	29	29	NUM
ejpam-5464	526	3	]	]	PUNCT
ejpam-5464	526	4	z.	z.	PROPN
ejpam-5464	526	5	pawlak	pawlak	PROPN
ejpam-5464	526	6	.	.	PUNCT
ejpam-5464	527	1	rough	rough	ADJ
ejpam-5464	527	2	sets	set	NOUN
ejpam-5464	527	3	:	:	PUNCT
ejpam-5464	527	4	theoretical	theoretical	ADJ
ejpam-5464	527	5	aspects	aspect	NOUN
ejpam-5464	527	6	of	of	ADP
ejpam-5464	527	7	reasoning	reasoning	NOUN
ejpam-5464	527	8	about	about	ADP
ejpam-5464	527	9	data	datum	NOUN
ejpam-5464	527	10	,	,	PUNCT
ejpam-5464	527	11	volume	volume	NOUN
ejpam-5464	527	12	9	9	NUM
ejpam-5464	527	13	.	.	PUNCT
ejpam-5464	527	14	springer	springer	NOUN
ejpam-5464	527	15	science	science	PROPN
ejpam-5464	527	16	&	&	CCONJ
ejpam-5464	527	17	business	business	NOUN
ejpam-5464	527	18	media	medium	NOUN
ejpam-5464	527	19	,	,	PUNCT
ejpam-5464	527	20	1991	1991	NUM
ejpam-5464	527	21	.	.	PUNCT
ejpam-5464	528	1	[	[	X
ejpam-5464	528	2	30	30	NUM
ejpam-5464	528	3	]	]	X
ejpam-5464	528	4	d.	d.	PROPN
ejpam-5464	528	5	vanderpooten	vanderpooten	PROPN
ejpam-5464	528	6	r.	r.	PROPN
ejpam-5464	528	7	slowinski	slowinski	PROPN
ejpam-5464	528	8	.	.	PUNCT
ejpam-5464	529	1	a	a	DET
ejpam-5464	529	2	generalized	generalized	ADJ
ejpam-5464	529	3	definition	definition	NOUN
ejpam-5464	529	4	of	of	ADP
ejpam-5464	529	5	rough	rough	ADJ
ejpam-5464	529	6	approximations	approximation	NOUN
ejpam-5464	529	7	based	base	VERB
ejpam-5464	529	8	on	on	ADP
ejpam-5464	529	9	similarity	similarity	NOUN
ejpam-5464	529	10	.	.	PUNCT
ejpam-5464	530	1	ieee	ieee	NOUN
ejpam-5464	530	2	transactions	transaction	NOUN
ejpam-5464	530	3	on	on	ADP
ejpam-5464	530	4	knowledge	knowledge	NOUN
ejpam-5464	530	5	and	and	CCONJ
ejpam-5464	530	6	data	datum	NOUN
ejpam-5464	530	7	engineering	engineering	NOUN
ejpam-5464	530	8	,	,	PUNCT
ejpam-5464	530	9	12(2):331–336	12(2):331–336	PROPN
ejpam-5464	530	10	,	,	PUNCT
ejpam-5464	530	11	2000	2000	NUM
ejpam-5464	530	12	.	.	PUNCT
ejpam-5464	531	1	[	[	X
ejpam-5464	531	2	31	31	NUM
ejpam-5464	531	3	]	]	PUNCT
ejpam-5464	531	4	m.k.el	m.k.el	NOUN
ejpam-5464	531	5	-	-	ADJ
ejpam-5464	531	6	bably	bably	ADV
ejpam-5464	531	7	r.abu	r.abu	NOUN
ejpam-5464	531	8	-	-	PUNCT
ejpam-5464	531	9	gdairi	gdairi	NOUN
ejpam-5464	531	10	,	,	PUNCT
ejpam-5464	531	11	a.a.el	a.a.el	NOUN
ejpam-5464	531	12	-	-	PUNCT
ejpam-5464	531	13	atik	atik	PROPN
ejpam-5464	531	14	.	.	PUNCT
ejpam-5464	532	1	topological	topological	ADJ
ejpam-5464	532	2	visualization	visualization	NOUN
ejpam-5464	532	3	and	and	CCONJ
ejpam-5464	532	4	graph	graph	VERB
ejpam-5464	532	5	analysis	analysis	NOUN
ejpam-5464	532	6	of	of	ADP
ejpam-5464	532	7	rough	rough	ADJ
ejpam-5464	532	8	sets	set	NOUN
ejpam-5464	532	9	via	via	ADP
ejpam-5464	532	10	neighborhoods	neighborhood	NOUN
ejpam-5464	532	11	,	,	PUNCT
ejpam-5464	532	12	a	a	DET
ejpam-5464	532	13	medical	medical	ADJ
ejpam-5464	532	14	application	application	NOUN
ejpam-5464	532	15	using	use	VERB
ejpam-5464	532	16	human	human	ADJ
ejpam-5464	532	17	heart	heart	NOUN
ejpam-5464	532	18	data	datum	NOUN
ejpam-5464	532	19	.	.	PUNCT
ejpam-5464	533	1	aims	aim	VERB
ejpam-5464	533	2	mathematics	mathematic	NOUN
ejpam-5464	533	3	,	,	PUNCT
ejpam-5464	533	4	8(11):26945–26967	8(11):26945–26967	NUM
ejpam-5464	533	5	,	,	PUNCT
ejpam-5464	533	6	2023	2023	NUM
ejpam-5464	533	7	.	.	PUNCT
ejpam-5464	534	1	[	[	X
ejpam-5464	534	2	32	32	NUM
ejpam-5464	534	3	]	]	PUNCT
ejpam-5464	534	4	m.	m.	NOUN
ejpam-5464	534	5	atef	atef	PROPN
ejpam-5464	534	6	s.	s.	PROPN
ejpam-5464	534	7	nada	nada	PROPN
ejpam-5464	534	8	,	,	PUNCT
ejpam-5464	534	9	a.a	a.a	PROPN
ejpam-5464	534	10	.	.	PROPN
ejpam-5464	534	11	el	el	PROPN
ejpam-5464	534	12	-	-	PUNCT
ejpam-5464	534	13	atik	atik	PROPN
ejpam-5464	534	14	.	.	PUNCT
ejpam-5464	535	1	new	new	ADJ
ejpam-5464	535	2	types	type	NOUN
ejpam-5464	535	3	of	of	ADP
ejpam-5464	535	4	topological	topological	ADJ
ejpam-5464	535	5	structures	structure	NOUN
ejpam-5464	535	6	via	via	ADP
ejpam-5464	535	7	graphs	graph	NOUN
ejpam-5464	535	8	.	.	PUNCT
ejpam-5464	536	1	mathematical	mathematical	ADJ
ejpam-5464	536	2	mehods	mehod	NOUN
ejpam-5464	536	3	in	in	ADP
ejpam-5464	536	4	the	the	DET
ejpam-5464	536	5	applied	apply	VERB
ejpam-5464	536	6	sciences	science	NOUN
ejpam-5464	536	7	,	,	PUNCT
ejpam-5464	536	8	41:5801–5810	41:5801–5810	NUM
ejpam-5464	536	9	,	,	PUNCT
ejpam-5464	536	10	2018	2018	NUM
ejpam-5464	536	11	.	.	PUNCT
ejpam-5464	537	1	[	[	X
ejpam-5464	537	2	33	33	NUM
ejpam-5464	537	3	]	]	PUNCT
ejpam-5464	537	4	a.	a.	NOUN
ejpam-5464	537	5	s.	s.	PROPN
ejpam-5464	537	6	salama	salama	PROPN
ejpam-5464	537	7	.	.	PUNCT
ejpam-5464	538	1	topological	topological	ADJ
ejpam-5464	538	2	solution	solution	NOUN
ejpam-5464	538	3	of	of	ADP
ejpam-5464	538	4	missing	miss	VERB
ejpam-5464	538	5	attribute	attribute	NOUN
ejpam-5464	538	6	values	value	NOUN
ejpam-5464	538	7	problem	problem	NOUN
ejpam-5464	538	8	in	in	ADP
ejpam-5464	538	9	incomplete	incomplete	ADJ
ejpam-5464	538	10	information	information	NOUN
ejpam-5464	538	11	tables	table	NOUN
ejpam-5464	538	12	.	.	PUNCT
ejpam-5464	539	1	information	information	NOUN
ejpam-5464	539	2	sciences	sciences	PROPN
ejpam-5464	539	3	,	,	PUNCT
ejpam-5464	539	4	180(5):631–639	180(5):631–639	PROPN
ejpam-5464	539	5	,	,	PUNCT
ejpam-5464	539	6	2010	2010	NUM
ejpam-5464	539	7	.	.	PUNCT
ejpam-5464	540	1	[	[	X
ejpam-5464	540	2	34	34	NUM
ejpam-5464	540	3	]	]	X
ejpam-5464	540	4	c.	c.	PROPN
ejpam-5464	540	5	largeron	largeron	PROPN
ejpam-5464	540	6	s.bonnevay	s.bonnevay	NOUN
ejpam-5464	540	7	.	.	PUNCT
ejpam-5464	541	1	a	a	DET
ejpam-5464	541	2	pretopological	pretopological	ADJ
ejpam-5464	541	3	approach	approach	NOUN
ejpam-5464	541	4	for	for	ADP
ejpam-5464	541	5	structural	structural	ADJ
ejpam-5464	541	6	analysis	analysis	NOUN
ejpam-5464	541	7	.	.	PUNCT
ejpam-5464	542	1	information	information	NOUN
ejpam-5464	542	2	sciences	sciences	PROPN
ejpam-5464	542	3	,	,	PUNCT
ejpam-5464	542	4	144(1	144(1	NUM
ejpam-5464	542	5	-	-	SYM
ejpam-5464	542	6	4):169–185	4):169–185	NUM
ejpam-5464	542	7	,	,	PUNCT
ejpam-5464	542	8	2002	2002	NUM
ejpam-5464	542	9	.	.	PUNCT
ejpam-5464	543	1	[	[	X
ejpam-5464	543	2	35	35	NUM
ejpam-5464	543	3	]	]	X
ejpam-5464	543	4	i.	i.	NOUN
ejpam-5464	543	5	t.	t.	PROPN
ejpam-5464	543	6	shbair	shbair	PROPN
ejpam-5464	543	7	,	,	PUNCT
ejpam-5464	543	8	a.	a.	PROPN
ejpam-5464	543	9	s.	s.	PROPN
ejpam-5464	543	10	salama	salama	PROPN
ejpam-5464	543	11	,	,	PUNCT
ejpam-5464	543	12	o.	o.	PROPN
ejpam-5464	543	13	a.	a.	NOUN
ejpam-5464	543	14	embaby	embaby	PROPN
ejpam-5464	543	15	,	,	PUNCT
ejpam-5464	543	16	and	and	CCONJ
ejpam-5464	543	17	a.	a.	NOUN
ejpam-5464	543	18	a.	a.	PROPN
ejpam-5464	543	19	el	el	PROPN
ejpam-5464	543	20	-	-	PUNCT
ejpam-5464	543	21	atik	atik	PROPN
ejpam-5464	543	22	.	.	PUNCT
ejpam-5464	544	1	some	some	DET
ejpam-5464	544	2	topological	topological	ADJ
ejpam-5464	544	3	approaches	approach	NOUN
ejpam-5464	544	4	of	of	ADP
ejpam-5464	544	5	rough	rough	ADJ
ejpam-5464	544	6	sets	set	NOUN
ejpam-5464	544	7	through	through	ADP
ejpam-5464	544	8	minimal	minimal	ADJ
ejpam-5464	544	9	neighborhoods	neighborhood	NOUN
ejpam-5464	544	10	and	and	CCONJ
ejpam-5464	544	11	decision	decision	NOUN
ejpam-5464	544	12	making	making	NOUN
ejpam-5464	544	13	.	.	PUNCT
ejpam-5464	545	1	journal	journal	NOUN
ejpam-5464	545	2	of	of	ADP
ejpam-5464	545	3	mathematics	mathematic	NOUN
ejpam-5464	545	4	,	,	PUNCT
ejpam-5464	545	5	2024	2024	NUM
ejpam-5464	545	6	:	:	PUNCT
ejpam-5464	545	7	article	article	NOUN
ejpam-5464	545	8	i	i	PROPN
ejpam-5464	545	9	d	d	PROPN
ejpam-5464	545	10	2214422	2214422	NUM
ejpam-5464	545	11	,	,	PUNCT
ejpam-5464	545	12	10	10	NUM
ejpam-5464	545	13	pages	page	NOUN
ejpam-5464	545	14	,	,	PUNCT
ejpam-5464	545	15	2024	2024	NUM
ejpam-5464	545	16	.	.	PUNCT
ejpam-5464	546	1	[	[	X
ejpam-5464	546	2	36	36	NUM
ejpam-5464	546	3	]	]	PUNCT
ejpam-5464	546	4	t.m.al	t.m.al	PROPN
ejpam-5464	546	5	-	-	PUNCT
ejpam-5464	546	6	shami	shami	PROPN
ejpam-5464	546	7	.	.	PUNCT
ejpam-5464	547	1	an	an	DET
ejpam-5464	547	2	improvement	improvement	NOUN
ejpam-5464	547	3	of	of	ADP
ejpam-5464	547	4	rough	rough	ADJ
ejpam-5464	547	5	sets	set	NOUN
ejpam-5464	547	6	’	'	PUNCT
ejpam-5464	547	7	accuracy	accuracy	NOUN
ejpam-5464	547	8	measure	measure	NOUN
ejpam-5464	547	9	using	use	VERB
ejpam-5464	547	10	containment	containment	NOUN
ejpam-5464	547	11	neighborhoods	neighborhood	NOUN
ejpam-5464	547	12	with	with	ADP
ejpam-5464	547	13	a	a	DET
ejpam-5464	547	14	medical	medical	ADJ
ejpam-5464	547	15	application	application	NOUN
ejpam-5464	547	16	.	.	PUNCT
ejpam-5464	548	1	information	information	NOUN
ejpam-5464	548	2	sciences	sciences	PROPN
ejpam-5464	548	3	,	,	PUNCT
ejpam-5464	548	4	569:110–124	569:110–124	NUM
ejpam-5464	548	5	,	,	PUNCT
ejpam-5464	548	6	2021	2021	NUM
ejpam-5464	548	7	.	.	PUNCT
ejpam-5464	549	1	references	reference	NOUN
ejpam-5464	549	2	3584	3584	NUM
ejpam-5464	549	3	[	[	X
ejpam-5464	549	4	37	37	NUM
ejpam-5464	549	5	]	]	SYM
ejpam-5464	549	6	t.m.al	t.m.al	PROPN
ejpam-5464	549	7	-	-	PUNCT
ejpam-5464	549	8	shami	shami	PROPN
ejpam-5464	549	9	.	.	PUNCT
ejpam-5464	550	1	maximal	maximal	ADJ
ejpam-5464	550	2	rough	rough	ADJ
ejpam-5464	550	3	neighborhoods	neighborhood	NOUN
ejpam-5464	550	4	with	with	ADP
ejpam-5464	550	5	a	a	DET
ejpam-5464	550	6	medical	medical	ADJ
ejpam-5464	550	7	application	application	NOUN
ejpam-5464	550	8	.	.	PUNCT
ejpam-5464	551	1	journal	journal	PROPN
ejpam-5464	551	2	of	of	ADP
ejpam-5464	551	3	ambient	ambient	ADJ
ejpam-5464	551	4	intelligence	intelligence	NOUN
ejpam-5464	551	5	and	and	CCONJ
ejpam-5464	551	6	humanized	humanize	VERB
ejpam-5464	551	7	computing	computing	NOUN
ejpam-5464	551	8	,	,	PUNCT
ejpam-5464	551	9	pages	page	NOUN
ejpam-5464	551	10	1–12	1–12	PROPN
ejpam-5464	551	11	,	,	PUNCT
ejpam-5464	551	12	2022	2022	NUM
ejpam-5464	551	13	.	.	PUNCT
ejpam-5464	552	1	[	[	X
ejpam-5464	552	2	38	38	NUM
ejpam-5464	552	3	]	]	X
ejpam-5464	552	4	e.a.abo	e.a.abo	ADJ
ejpam-5464	552	5	-	-	PUNCT
ejpam-5464	552	6	tabl	tabl	PROPN
ejpam-5464	552	7	t.m.al	t.m.al	PROPN
ejpam-5464	552	8	-	-	PUNCT
ejpam-5464	552	9	shami	shami	PROPN
ejpam-5464	552	10	,	,	PUNCT
ejpam-5464	552	11	w.q	w.q	PROPN
ejpam-5464	552	12	.	.	PROPN
ejpam-5464	552	13	fu	fu	PROPN
ejpam-5464	552	14	.	.	PUNCT
ejpam-5464	553	1	new	new	ADJ
ejpam-5464	553	2	rough	rough	ADJ
ejpam-5464	553	3	approximations	approximation	NOUN
ejpam-5464	553	4	based	base	VERB
ejpam-5464	553	5	on	on	ADP
ejpam-5464	553	6	eneighborhoods	eneighborhood	NOUN
ejpam-5464	553	7	.	.	PUNCT
ejpam-5464	554	1	complexity	complexity	NOUN
ejpam-5464	554	2	,	,	PUNCT
ejpam-5464	554	3	1:1–6	1:1–6	NUM
ejpam-5464	554	4	,	,	PUNCT
ejpam-5464	554	5	2021	2021	NUM
ejpam-5464	554	6	.	.	PUNCT
ejpam-5464	555	1	[	[	X
ejpam-5464	555	2	39	39	NUM
ejpam-5464	555	3	]	]	PUNCT
ejpam-5464	555	4	q.	q.	PROPN
ejpam-5464	555	5	e.	e.	PROPN
ejpam-5464	555	6	wu	wu	PROPN
ejpam-5464	555	7	,	,	PUNCT
ejpam-5464	555	8	t.	t.	PROPN
ejpam-5464	555	9	wang	wang	PROPN
ejpam-5464	555	10	,	,	PUNCT
ejpam-5464	555	11	y.	y.	PROPN
ejpam-5464	555	12	x.	x.	PROPN
ejpam-5464	555	13	huang	huang	PROPN
ejpam-5464	555	14	,	,	PUNCT
ejpam-5464	555	15	and	and	CCONJ
ejpam-5464	555	16	j.	j.	PROPN
ejpam-5464	555	17	s.	s.	PROPN
ejpam-5464	555	18	li	li	PROPN
ejpam-5464	555	19	.	.	PROPN
ejpam-5464	555	20	topology	topology	PROPN
ejpam-5464	555	21	theory	theory	NOUN
ejpam-5464	555	22	on	on	ADP
ejpam-5464	555	23	rough	rough	ADJ
ejpam-5464	555	24	sets	set	NOUN
ejpam-5464	555	25	.	.	PUNCT
ejpam-5464	556	1	ieee	ieee	NOUN
ejpam-5464	556	2	transactions	transaction	NOUN
ejpam-5464	556	3	on	on	ADP
ejpam-5464	556	4	systems	system	NOUN
ejpam-5464	556	5	,	,	PUNCT
ejpam-5464	556	6	38(1):68–77	38(1):68–77	NUM
ejpam-5464	556	7	,	,	PUNCT
ejpam-5464	556	8	2008	2008	NUM
ejpam-5464	556	9	.	.	PUNCT
ejpam-5464	557	1	[	[	X
ejpam-5464	557	2	40	40	NUM
ejpam-5464	557	3	]	]	PUNCT
ejpam-5464	557	4	t.	t.	PROPN
ejpam-5464	557	5	lin	lin	PROPN
ejpam-5464	557	6	y.	y.	PROPN
ejpam-5464	557	7	y.	y.	PROPN
ejpam-5464	557	8	yao	yao	PROPN
ejpam-5464	557	9	.	.	PUNCT
ejpam-5464	558	1	generalization	generalization	NOUN
ejpam-5464	558	2	of	of	ADP
ejpam-5464	558	3	rough	rough	ADJ
ejpam-5464	558	4	sets	set	NOUN
ejpam-5464	558	5	using	use	VERB
ejpam-5464	558	6	modal	modal	ADJ
ejpam-5464	558	7	logics	logic	NOUN
ejpam-5464	558	8	.	.	PUNCT
ejpam-5464	559	1	intelligent	intelligent	ADJ
ejpam-5464	559	2	automation	automation	NOUN
ejpam-5464	559	3	&	&	CCONJ
ejpam-5464	559	4	soft	soft	ADJ
ejpam-5464	559	5	computing	computing	NOUN
ejpam-5464	559	6	,	,	PUNCT
ejpam-5464	559	7	2(2):103–119	2(2):103–119	NUM
ejpam-5464	559	8	,	,	PUNCT
ejpam-5464	559	9	1996	1996	NUM
ejpam-5464	559	10	.	.	PUNCT
ejpam-5464	560	1	[	[	X
ejpam-5464	560	2	41	41	NUM
ejpam-5464	560	3	]	]	X
ejpam-5464	560	4	y.	y.	PROPN
ejpam-5464	560	5	y.	y.	PROPN
ejpam-5464	560	6	yao	yao	PROPN
ejpam-5464	560	7	.	.	PUNCT
ejpam-5464	561	1	two	two	NUM
ejpam-5464	561	2	views	view	NOUN
ejpam-5464	561	3	of	of	ADP
ejpam-5464	561	4	the	the	DET
ejpam-5464	561	5	theory	theory	NOUN
ejpam-5464	561	6	of	of	ADP
ejpam-5464	561	7	rough	rough	ADJ
ejpam-5464	561	8	sets	set	NOUN
ejpam-5464	561	9	in	in	ADP
ejpam-5464	561	10	finite	finite	ADJ
ejpam-5464	561	11	universes	universe	NOUN
ejpam-5464	561	12	.	.	PUNCT
ejpam-5464	562	1	international	international	ADJ
ejpam-5464	562	2	journal	journal	PROPN
ejpam-5464	562	3	of	of	ADP
ejpam-5464	562	4	approximate	approximate	ADJ
ejpam-5464	562	5	reasoning	reasoning	NOUN
ejpam-5464	562	6	,	,	PUNCT
ejpam-5464	562	7	15(4):291–317	15(4):291–317	NUM
ejpam-5464	562	8	,	,	PUNCT
ejpam-5464	562	9	1996	1996	NUM
ejpam-5464	562	10	.	.	PUNCT
ejpam-5464	563	1	[	[	X
ejpam-5464	563	2	42	42	NUM
ejpam-5464	563	3	]	]	X
ejpam-5464	563	4	y.	y.	PROPN
ejpam-5464	563	5	y.	y.	PROPN
ejpam-5464	563	6	yao	yao	PROPN
ejpam-5464	563	7	.	.	PUNCT
ejpam-5464	564	1	constructive	constructive	ADJ
ejpam-5464	564	2	and	and	CCONJ
ejpam-5464	564	3	algebraic	algebraic	ADJ
ejpam-5464	564	4	methods	method	NOUN
ejpam-5464	564	5	of	of	ADP
ejpam-5464	564	6	the	the	DET
ejpam-5464	564	7	theory	theory	NOUN
ejpam-5464	564	8	of	of	ADP
ejpam-5464	564	9	rough	rough	ADJ
ejpam-5464	564	10	sets	set	NOUN
ejpam-5464	564	11	.	.	PUNCT
ejpam-5464	565	1	information	information	NOUN
ejpam-5464	565	2	sciences	science	NOUN
ejpam-5464	565	3	,	,	PUNCT
ejpam-5464	565	4	109(1	109(1	NUM
ejpam-5464	565	5	-	-	PUNCT
ejpam-5464	565	6	4):21–47	4):21–47	NOUN
ejpam-5464	565	7	,	,	PUNCT
ejpam-5464	565	8	1998	1998	NUM
ejpam-5464	565	9	.	.	PUNCT
ejpam-5464	566	1	[	[	X
ejpam-5464	566	2	43	43	NUM
ejpam-5464	566	3	]	]	PUNCT
ejpam-5464	566	4	a.	a.	NOUN
ejpam-5464	566	5	skowron	skowron	PROPN
ejpam-5464	566	6	z.	z.	PROPN
ejpam-5464	566	7	pawlak	pawlak	PROPN
ejpam-5464	566	8	.	.	PUNCT
ejpam-5464	567	1	rough	rough	ADJ
ejpam-5464	567	2	sets	set	NOUN
ejpam-5464	567	3	and	and	CCONJ
ejpam-5464	567	4	boolean	boolean	ADJ
ejpam-5464	567	5	reasoning	reasoning	NOUN
ejpam-5464	567	6	.	.	PUNCT
ejpam-5464	568	1	information	information	NOUN
ejpam-5464	568	2	sciences	sciences	PROPN
ejpam-5464	568	3	,	,	PUNCT
ejpam-5464	568	4	177(1):41–73	177(1):41–73	NUM
ejpam-5464	568	5	,	,	PUNCT
ejpam-5464	568	6	2007	2007	NUM
ejpam-5464	568	7	.	.	PUNCT
ejpam-5464	569	1	[	[	X
ejpam-5464	569	2	44	44	NUM
ejpam-5464	569	3	]	]	PUNCT
ejpam-5464	569	4	z.	z.	PROPN
ejpam-5464	569	5	yun	yun	PROPN
ejpam-5464	569	6	z.	z.	PROPN
ejpam-5464	569	7	y.	y.	PROPN
ejpam-5464	569	8	xiaole	xiaole	PROPN
ejpam-5464	569	9	.	.	PUNCT
ejpam-5464	570	1	a	a	DET
ejpam-5464	570	2	study	study	NOUN
ejpam-5464	570	3	of	of	ADP
ejpam-5464	570	4	rough	rough	ADJ
ejpam-5464	570	5	sets	set	NOUN
ejpam-5464	570	6	based	base	VERB
ejpam-5464	570	7	on	on	ADP
ejpam-5464	570	8	1	1	NUM
ejpam-5464	570	9	-	-	PUNCT
ejpam-5464	570	10	neighborhood	neighborhood	NOUN
ejpam-5464	570	11	systems	system	NOUN
ejpam-5464	570	12	.	.	PUNCT
ejpam-5464	571	1	information	information	NOUN
ejpam-5464	571	2	sciences	sciences	PROPN
ejpam-5464	571	3	,	,	PUNCT
ejpam-5464	571	4	248:103–113	248:103–113	NUM
ejpam-5464	571	5	,	,	PUNCT
ejpam-5464	571	6	2013	2013	NUM
ejpam-5464	571	7	.	.	PUNCT
ejpam-5464	572	1	[	[	X
ejpam-5464	572	2	45	45	NUM
ejpam-5464	572	3	]	]	PUNCT
ejpam-5464	572	4	l.	l.	PROPN
ejpam-5464	572	5	a.	a.	PROPN
ejpam-5464	572	6	zadeh	zadeh	PROPN
ejpam-5464	572	7	.	.	PUNCT
ejpam-5464	573	1	fuzzy	fuzzy	ADJ
ejpam-5464	573	2	sets	set	NOUN
ejpam-5464	573	3	.	.	PUNCT
ejpam-5464	574	1	information	information	NOUN
ejpam-5464	574	2	and	and	CCONJ
ejpam-5464	574	3	control	control	NOUN
ejpam-5464	574	4	,	,	PUNCT
ejpam-5464	574	5	8(3):338–353	8(3):338–353	NUM
ejpam-5464	574	6	,	,	PUNCT
ejpam-5464	574	7	1965	1965	NUM
ejpam-5464	574	8	.	.	PUNCT