id	sid	tid	token	lemma	pos
ejpam-2349	1	1	compile	compile	NOUN
ejpam-2349	1	2	/	/	SYM
ejpam-2349	1	3	output.dvi	output.dvi	NOUN
ejpam-2349	1	4	european	european	ADJ
ejpam-2349	1	5	journal	journal	NOUN
ejpam-2349	1	6	of	of	ADP
ejpam-2349	1	7	pure	pure	ADJ
ejpam-2349	1	8	and	and	CCONJ
ejpam-2349	1	9	applied	apply	VERB
ejpam-2349	1	10	mathematics	mathematic	NOUN
ejpam-2349	1	11	vol	vol	NOUN
ejpam-2349	1	12	.	.	PROPN
ejpam-2349	2	1	9	9	NUM
ejpam-2349	2	2	,	,	PUNCT
ejpam-2349	2	3	no	no	INTJ
ejpam-2349	2	4	.	.	NOUN
ejpam-2349	2	5	3	3	NUM
ejpam-2349	2	6	,	,	PUNCT
ejpam-2349	2	7	2016	2016	NUM
ejpam-2349	2	8	,	,	PUNCT
ejpam-2349	2	9	333	333	NUM
ejpam-2349	2	10	-	-	SYM
ejpam-2349	2	11	339	339	NUM
ejpam-2349	2	12	issn	issn	PROPN
ejpam-2349	2	13	1307	1307	NUM
ejpam-2349	2	14	-	-	SYM
ejpam-2349	2	15	5543	5543	NUM
ejpam-2349	2	16	–	–	PUNCT
ejpam-2349	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2349	2	18	on	on	ADP
ejpam-2349	2	19	some	some	DET
ejpam-2349	2	20	new	new	ADJ
ejpam-2349	2	21	operations	operation	NOUN
ejpam-2349	2	22	in	in	ADP
ejpam-2349	2	23	probabilistic	probabilistic	ADJ
ejpam-2349	2	24	soft	soft	ADJ
ejpam-2349	2	25	set	set	NOUN
ejpam-2349	2	26	theory	theory	NOUN
ejpam-2349	2	27	çiğdem	çiğdem	PROPN
ejpam-2349	2	28	gunduz(aras)∗	gunduz(aras)∗	PROPN
ejpam-2349	2	29	,	,	PUNCT
ejpam-2349	2	30	hande	hande	PROPN
ejpam-2349	2	31	poşul	poşul	PROPN
ejpam-2349	2	32	department	department	PROPN
ejpam-2349	2	33	of	of	ADP
ejpam-2349	2	34	mathematics	mathematic	NOUN
ejpam-2349	2	35	,	,	PUNCT
ejpam-2349	2	36	kocaeli	kocaeli	PROPN
ejpam-2349	2	37	university	university	PROPN
ejpam-2349	2	38	,	,	PUNCT
ejpam-2349	2	39	kocaeli	kocaeli	VERB
ejpam-2349	2	40	41380	41380	NUM
ejpam-2349	2	41	,	,	PUNCT
ejpam-2349	2	42	turkey	turkey	NOUN
ejpam-2349	2	43	abstract	abstract	NOUN
ejpam-2349	2	44	.	.	PUNCT
ejpam-2349	3	1	in	in	ADP
ejpam-2349	3	2	this	this	DET
ejpam-2349	3	3	paper	paper	NOUN
ejpam-2349	3	4	,	,	PUNCT
ejpam-2349	3	5	we	we	PRON
ejpam-2349	3	6	study	study	VERB
ejpam-2349	3	7	the	the	DET
ejpam-2349	3	8	theory	theory	NOUN
ejpam-2349	3	9	of	of	ADP
ejpam-2349	3	10	probabilistic	probabilistic	ADJ
ejpam-2349	3	11	soft	soft	ADJ
ejpam-2349	3	12	sets	set	NOUN
ejpam-2349	3	13	introduced	introduce	VERB
ejpam-2349	3	14	by	by	ADP
ejpam-2349	3	15	[	[	X
ejpam-2349	3	16	7	7	NUM
ejpam-2349	3	17	]	]	PUNCT
ejpam-2349	3	18	.	.	PUNCT
ejpam-2349	4	1	we	we	PRON
ejpam-2349	4	2	define	define	VERB
ejpam-2349	4	3	equality	equality	NOUN
ejpam-2349	4	4	of	of	ADP
ejpam-2349	4	5	two	two	NUM
ejpam-2349	4	6	probabilistic	probabilistic	ADJ
ejpam-2349	4	7	soft	soft	ADJ
ejpam-2349	4	8	sets	set	NOUN
ejpam-2349	4	9	,	,	PUNCT
ejpam-2349	4	10	subset	subset	NOUN
ejpam-2349	4	11	,	,	PUNCT
ejpam-2349	4	12	complement	complement	NOUN
ejpam-2349	4	13	of	of	ADP
ejpam-2349	4	14	a	a	DET
ejpam-2349	4	15	probabilistic	probabilistic	ADJ
ejpam-2349	4	16	soft	soft	ADJ
ejpam-2349	4	17	set	set	NOUN
ejpam-2349	4	18	with	with	ADP
ejpam-2349	4	19	examples	example	NOUN
ejpam-2349	4	20	.	.	PUNCT
ejpam-2349	5	1	we	we	PRON
ejpam-2349	5	2	also	also	ADV
ejpam-2349	5	3	introduce	introduce	VERB
ejpam-2349	5	4	the	the	DET
ejpam-2349	5	5	operations	operation	NOUN
ejpam-2349	5	6	of	of	ADP
ejpam-2349	5	7	union	union	NOUN
ejpam-2349	5	8	,	,	PUNCT
ejpam-2349	5	9	intersection	intersection	NOUN
ejpam-2349	5	10	,	,	PUNCT
ejpam-2349	5	11	difference	difference	NOUN
ejpam-2349	5	12	and	and	CCONJ
ejpam-2349	5	13	symmetric	symmetric	ADJ
ejpam-2349	5	14	difference	difference	NOUN
ejpam-2349	5	15	.	.	PUNCT
ejpam-2349	6	1	we	we	PRON
ejpam-2349	6	2	prove	prove	VERB
ejpam-2349	6	3	that	that	SCONJ
ejpam-2349	6	4	certain	certain	ADJ
ejpam-2349	6	5	de	de	PROPN
ejpam-2349	6	6	morgan	morgan	PROPN
ejpam-2349	6	7	’s	’s	PART
ejpam-2349	6	8	laws	law	NOUN
ejpam-2349	6	9	hold	hold	VERB
ejpam-2349	6	10	in	in	ADP
ejpam-2349	6	11	probabilistic	probabilistic	ADJ
ejpam-2349	6	12	soft	soft	ADJ
ejpam-2349	6	13	set	set	NOUN
ejpam-2349	6	14	theory	theory	NOUN
ejpam-2349	6	15	with	with	ADP
ejpam-2349	6	16	respect	respect	NOUN
ejpam-2349	6	17	to	to	ADP
ejpam-2349	6	18	these	these	DET
ejpam-2349	6	19	new	new	ADJ
ejpam-2349	6	20	definitions	definition	NOUN
ejpam-2349	6	21	.	.	PUNCT
ejpam-2349	7	1	2010	2010	NUM
ejpam-2349	7	2	mathematics	mathematic	NOUN
ejpam-2349	7	3	subject	subject	NOUN
ejpam-2349	7	4	classifications	classification	NOUN
ejpam-2349	7	5	:	:	PUNCT
ejpam-2349	7	6	03b52	03b52	X
ejpam-2349	7	7	key	key	ADJ
ejpam-2349	7	8	words	word	NOUN
ejpam-2349	7	9	and	and	CCONJ
ejpam-2349	7	10	phrases	phrase	NOUN
ejpam-2349	7	11	:	:	PUNCT
ejpam-2349	7	12	soft	soft	ADJ
ejpam-2349	7	13	sets	set	NOUN
ejpam-2349	7	14	,	,	PUNCT
ejpam-2349	7	15	probabilistic	probabilistic	ADJ
ejpam-2349	7	16	soft	soft	ADJ
ejpam-2349	7	17	sets	set	NOUN
ejpam-2349	7	18	1	1	NUM
ejpam-2349	7	19	.	.	PUNCT
ejpam-2349	8	1	introduction	introduction	NOUN
ejpam-2349	8	2	in	in	ADP
ejpam-2349	8	3	theory	theory	NOUN
ejpam-2349	8	4	,	,	PUNCT
ejpam-2349	8	5	for	for	ADP
ejpam-2349	8	6	formal	formal	ADJ
ejpam-2349	8	7	modeling	modeling	NOUN
ejpam-2349	8	8	,	,	PUNCT
ejpam-2349	8	9	reasoning	reasoning	NOUN
ejpam-2349	8	10	,	,	PUNCT
ejpam-2349	8	11	and	and	CCONJ
ejpam-2349	8	12	computing	compute	VERB
ejpam-2349	8	13	we	we	PRON
ejpam-2349	8	14	have	have	VERB
ejpam-2349	8	15	traditional	traditional	ADJ
ejpam-2349	8	16	tools	tool	NOUN
ejpam-2349	8	17	such	such	ADJ
ejpam-2349	8	18	as	as	ADP
ejpam-2349	8	19	crisp	crisp	ADJ
ejpam-2349	8	20	,	,	PUNCT
ejpam-2349	8	21	deterministic	deterministic	ADJ
ejpam-2349	8	22	,	,	PUNCT
ejpam-2349	8	23	and	and	CCONJ
ejpam-2349	8	24	precise	precise	ADJ
ejpam-2349	8	25	in	in	ADP
ejpam-2349	8	26	character	character	NOUN
ejpam-2349	8	27	but	but	CCONJ
ejpam-2349	8	28	in	in	ADP
ejpam-2349	8	29	practical	practical	ADJ
ejpam-2349	8	30	way	way	NOUN
ejpam-2349	8	31	we	we	PRON
ejpam-2349	8	32	see	see	VERB
ejpam-2349	8	33	that	that	SCONJ
ejpam-2349	8	34	data	datum	NOUN
ejpam-2349	8	35	in	in	ADP
ejpam-2349	8	36	economics	economic	NOUN
ejpam-2349	8	37	,	,	PUNCT
ejpam-2349	8	38	engineering	engineering	NOUN
ejpam-2349	8	39	,	,	PUNCT
ejpam-2349	8	40	environment	environment	NOUN
ejpam-2349	8	41	,	,	PUNCT
ejpam-2349	8	42	social	social	ADJ
ejpam-2349	8	43	science	science	NOUN
ejpam-2349	8	44	,	,	PUNCT
ejpam-2349	8	45	medical	medical	ADJ
ejpam-2349	8	46	science	science	NOUN
ejpam-2349	8	47	,	,	PUNCT
ejpam-2349	8	48	etc	etc	X
ejpam-2349	8	49	.	.	X
ejpam-2349	8	50	are	be	AUX
ejpam-2349	8	51	not	not	PART
ejpam-2349	8	52	always	always	ADV
ejpam-2349	8	53	all	all	PRON
ejpam-2349	8	54	crisp	crisp	ADJ
ejpam-2349	8	55	and	and	CCONJ
ejpam-2349	8	56	classical	classical	ADJ
ejpam-2349	8	57	methods	method	NOUN
ejpam-2349	8	58	because	because	SCONJ
ejpam-2349	8	59	of	of	ADP
ejpam-2349	8	60	various	various	ADJ
ejpam-2349	8	61	types	type	NOUN
ejpam-2349	8	62	of	of	ADP
ejpam-2349	8	63	uncertainties	uncertainty	NOUN
ejpam-2349	8	64	present	present	ADJ
ejpam-2349	8	65	in	in	ADP
ejpam-2349	8	66	these	these	DET
ejpam-2349	8	67	problems	problem	NOUN
ejpam-2349	8	68	can	can	AUX
ejpam-2349	8	69	not	not	PART
ejpam-2349	8	70	be	be	AUX
ejpam-2349	8	71	used	use	VERB
ejpam-2349	8	72	,	,	PUNCT
ejpam-2349	8	73	successfully	successfully	ADV
ejpam-2349	8	74	.	.	PUNCT
ejpam-2349	9	1	there	there	PRON
ejpam-2349	9	2	are	be	VERB
ejpam-2349	9	3	some	some	DET
ejpam-2349	9	4	theories	theory	NOUN
ejpam-2349	9	5	like	like	ADP
ejpam-2349	9	6	theory	theory	NOUN
ejpam-2349	9	7	of	of	ADP
ejpam-2349	9	8	probability	probability	NOUN
ejpam-2349	9	9	,	,	PUNCT
ejpam-2349	9	10	theory	theory	NOUN
ejpam-2349	9	11	of	of	ADP
ejpam-2349	9	12	fuzzy	fuzzy	ADJ
ejpam-2349	9	13	sets	set	NOUN
ejpam-2349	9	14	and	and	CCONJ
ejpam-2349	9	15	the	the	DET
ejpam-2349	9	16	interval	interval	NOUN
ejpam-2349	9	17	mathematics	mathematic	NOUN
ejpam-2349	9	18	which	which	PRON
ejpam-2349	9	19	we	we	PRON
ejpam-2349	9	20	can	can	AUX
ejpam-2349	9	21	consider	consider	VERB
ejpam-2349	9	22	as	as	ADP
ejpam-2349	9	23	mathematical	mathematical	ADJ
ejpam-2349	9	24	tools	tool	NOUN
ejpam-2349	9	25	for	for	ADP
ejpam-2349	9	26	dealing	deal	VERB
ejpam-2349	9	27	with	with	ADP
ejpam-2349	9	28	uncertainties	uncertainty	NOUN
ejpam-2349	9	29	.	.	PUNCT
ejpam-2349	10	1	according	accord	VERB
ejpam-2349	10	2	to	to	ADP
ejpam-2349	10	3	molodtsov	molodtsov	NOUN
ejpam-2349	10	4	[	[	X
ejpam-2349	10	5	5	5	NUM
ejpam-2349	10	6	]	]	PUNCT
ejpam-2349	10	7	,	,	PUNCT
ejpam-2349	10	8	since	since	SCONJ
ejpam-2349	10	9	all	all	DET
ejpam-2349	10	10	these	these	DET
ejpam-2349	10	11	theories	theory	NOUN
ejpam-2349	10	12	have	have	VERB
ejpam-2349	10	13	their	their	PRON
ejpam-2349	10	14	inherent	inherent	ADJ
ejpam-2349	10	15	difficulties	difficulty	NOUN
ejpam-2349	10	16	the	the	DET
ejpam-2349	10	17	concept	concept	NOUN
ejpam-2349	10	18	of	of	ADP
ejpam-2349	10	19	soft	soft	ADJ
ejpam-2349	10	20	set	set	NOUN
ejpam-2349	10	21	theory	theory	NOUN
ejpam-2349	10	22	as	as	ADP
ejpam-2349	10	23	a	a	DET
ejpam-2349	10	24	mathematical	mathematical	ADJ
ejpam-2349	10	25	tool	tool	NOUN
ejpam-2349	10	26	for	for	ADP
ejpam-2349	10	27	dealing	deal	VERB
ejpam-2349	10	28	with	with	ADP
ejpam-2349	10	29	uncertainties	uncertainty	NOUN
ejpam-2349	10	30	which	which	PRON
ejpam-2349	10	31	is	be	AUX
ejpam-2349	10	32	free	free	ADJ
ejpam-2349	10	33	from	from	ADP
ejpam-2349	10	34	the	the	DET
ejpam-2349	10	35	above	above	ADJ
ejpam-2349	10	36	difficulties	difficulty	NOUN
ejpam-2349	10	37	has	have	AUX
ejpam-2349	10	38	been	be	AUX
ejpam-2349	10	39	initiated	initiate	VERB
ejpam-2349	10	40	in	in	ADP
ejpam-2349	10	41	[	[	X
ejpam-2349	10	42	5	5	NUM
ejpam-2349	10	43	]	]	PUNCT
ejpam-2349	10	44	.	.	PUNCT
ejpam-2349	11	1	soft	soft	ADJ
ejpam-2349	11	2	set	set	NOUN
ejpam-2349	11	3	theory	theory	NOUN
ejpam-2349	11	4	has	have	VERB
ejpam-2349	11	5	a	a	DET
ejpam-2349	11	6	rich	rich	ADJ
ejpam-2349	11	7	potential	potential	NOUN
ejpam-2349	11	8	for	for	ADP
ejpam-2349	11	9	applications	application	NOUN
ejpam-2349	11	10	in	in	ADP
ejpam-2349	11	11	several	several	ADJ
ejpam-2349	11	12	directions	direction	NOUN
ejpam-2349	12	1	[	[	X
ejpam-2349	12	2	1–4	1–4	NOUN
ejpam-2349	12	3	,	,	PUNCT
ejpam-2349	12	4	6	6	NUM
ejpam-2349	12	5	]	]	PUNCT
ejpam-2349	12	6	.	.	PUNCT
ejpam-2349	13	1	zhu	zhu	PROPN
ejpam-2349	13	2	and	and	CCONJ
ejpam-2349	13	3	wen	wen	VERB
ejpam-2349	14	1	[	[	X
ejpam-2349	14	2	7	7	X
ejpam-2349	14	3	]	]	PUNCT
ejpam-2349	14	4	have	have	AUX
ejpam-2349	14	5	proposed	propose	VERB
ejpam-2349	14	6	the	the	DET
ejpam-2349	14	7	notion	notion	NOUN
ejpam-2349	14	8	of	of	ADP
ejpam-2349	14	9	probabilistic	probabilistic	ADJ
ejpam-2349	14	10	soft	soft	ADJ
ejpam-2349	14	11	sets	set	NOUN
ejpam-2349	14	12	incorporated	incorporate	VERB
ejpam-2349	14	13	molodtsov	molodtsov	NOUN
ejpam-2349	14	14	’s	’s	PART
ejpam-2349	14	15	soft	soft	ADJ
ejpam-2349	14	16	set	set	NOUN
ejpam-2349	14	17	theory	theory	NOUN
ejpam-2349	14	18	with	with	ADP
ejpam-2349	14	19	probability	probability	NOUN
ejpam-2349	14	20	theory	theory	NOUN
ejpam-2349	14	21	and	and	CCONJ
ejpam-2349	14	22	introduced	introduce	VERB
ejpam-2349	14	23	three	three	NUM
ejpam-2349	14	24	operations	operation	NOUN
ejpam-2349	14	25	with	with	ADP
ejpam-2349	14	26	probabilistic	probabilistic	ADJ
ejpam-2349	14	27	soft	soft	ADJ
ejpam-2349	14	28	sets	set	NOUN
ejpam-2349	14	29	the	the	DET
ejpam-2349	14	30	conditional	conditional	ADJ
ejpam-2349	14	31	probabilistic	probabilistic	ADJ
ejpam-2349	14	32	soft	soft	ADJ
ejpam-2349	14	33	set	set	NOUN
ejpam-2349	14	34	.	.	PUNCT
ejpam-2349	15	1	in	in	ADP
ejpam-2349	15	2	the	the	DET
ejpam-2349	15	3	present	present	ADJ
ejpam-2349	15	4	paper	paper	NOUN
ejpam-2349	15	5	,	,	PUNCT
ejpam-2349	15	6	we	we	PRON
ejpam-2349	15	7	make	make	VERB
ejpam-2349	15	8	a	a	DET
ejpam-2349	15	9	theoretical	theoretical	ADJ
ejpam-2349	15	10	study	study	NOUN
ejpam-2349	15	11	of	of	ADP
ejpam-2349	15	12	the	the	DET
ejpam-2349	15	13	"	"	PUNCT
ejpam-2349	15	14	probabilistic	probabilistic	ADJ
ejpam-2349	15	15	soft	soft	ADJ
ejpam-2349	15	16	set	set	NOUN
ejpam-2349	15	17	theory	theory	NOUN
ejpam-2349	15	18	"	"	PUNCT
ejpam-2349	15	19	in	in	ADP
ejpam-2349	15	20	more	more	ADJ
ejpam-2349	15	21	detail	detail	NOUN
ejpam-2349	15	22	.	.	PUNCT
ejpam-2349	16	1	∗corresponding	∗corresponde	VERB
ejpam-2349	16	2	author	author	NOUN
ejpam-2349	16	3	.	.	PUNCT
ejpam-2349	17	1	email	email	NOUN
ejpam-2349	17	2	address	address	NOUN
ejpam-2349	17	3	:	:	PUNCT
ejpam-2349	17	4	caras@kocaeli.edu.tr	caras@kocaeli.edu.tr	PROPN
ejpam-2349	17	5	(	(	PUNCT
ejpam-2349	17	6	ç	ç	X
ejpam-2349	17	7	.	.	PUNCT
ejpam-2349	17	8	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	17	9	)	)	PUNCT
ejpam-2349	17	10	)	)	PUNCT
ejpam-2349	17	11	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2349	18	1	333	333	NUM
ejpam-2349	18	2	c	c	AUX
ejpam-2349	18	3	©	©	PROPN
ejpam-2349	18	4	2016	2016	NUM
ejpam-2349	18	5	ejpam	ejpam	VERB
ejpam-2349	18	6	all	all	DET
ejpam-2349	18	7	rights	right	NOUN
ejpam-2349	18	8	reserved	reserve	VERB
ejpam-2349	18	9	.	.	PUNCT
ejpam-2349	19	1	ç	ç	X
ejpam-2349	19	2	.	.	PUNCT
ejpam-2349	19	3	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	19	4	)	)	PUNCT
ejpam-2349	19	5	,	,	PUNCT
ejpam-2349	19	6	h.	h.	PROPN
ejpam-2349	19	7	poşul	poşul	PROPN
ejpam-2349	19	8	/	/	PUNCT
ejpam-2349	19	9	eur	eur	PROPN
ejpam-2349	19	10	.	.	PUNCT
ejpam-2349	20	1	j.	j.	PROPN
ejpam-2349	20	2	pure	pure	PROPN
ejpam-2349	20	3	appl	appl	PROPN
ejpam-2349	20	4	.	.	PROPN
ejpam-2349	20	5	math	math	PROPN
ejpam-2349	20	6	,	,	PUNCT
ejpam-2349	20	7	9	9	NUM
ejpam-2349	20	8	(	(	PUNCT
ejpam-2349	20	9	2016	2016	NUM
ejpam-2349	20	10	)	)	PUNCT
ejpam-2349	20	11	,	,	PUNCT
ejpam-2349	20	12	333	333	NUM
ejpam-2349	20	13	-	-	SYM
ejpam-2349	20	14	339	339	NUM
ejpam-2349	20	15	334	334	NUM
ejpam-2349	20	16	2	2	NUM
ejpam-2349	20	17	.	.	PUNCT
ejpam-2349	20	18	preliminary	preliminary	ADJ
ejpam-2349	20	19	definition	definition	NOUN
ejpam-2349	20	20	1	1	X
ejpam-2349	20	21	.	.	PUNCT
ejpam-2349	21	1	let	let	VERB
ejpam-2349	21	2	u	u	PRON
ejpam-2349	21	3	be	be	AUX
ejpam-2349	21	4	a	a	DET
ejpam-2349	21	5	universe	universe	NOUN
ejpam-2349	21	6	.	.	PUNCT
ejpam-2349	22	1	a	a	DET
ejpam-2349	22	2	probabilistic	probabilistic	ADJ
ejpam-2349	22	3	set	set	NOUN
ejpam-2349	22	4	x	x	PUNCT
ejpam-2349	22	5	over	over	ADP
ejpam-2349	22	6	u	u	NOUN
ejpam-2349	22	7	is	be	AUX
ejpam-2349	22	8	a	a	DET
ejpam-2349	22	9	set	set	NOUN
ejpam-2349	22	10	defined	define	VERB
ejpam-2349	22	11	by	by	ADP
ejpam-2349	22	12	a	a	DET
ejpam-2349	22	13	function	function	NOUN
ejpam-2349	22	14	µx	µx	AUX
ejpam-2349	22	15	representing	represent	VERB
ejpam-2349	22	16	a	a	DET
ejpam-2349	22	17	mapping	mapping	NOUN
ejpam-2349	22	18	µx	µx	ADJ
ejpam-2349	22	19	:	:	PUNCT
ejpam-2349	22	20	u	u	NOUN
ejpam-2349	22	21	→	→	PROPN
ejpam-2349	22	22	i	i	NOUN
ejpam-2349	22	23	=	=	PUNCT
ejpam-2349	23	1	[	[	X
ejpam-2349	23	2	0,1	0,1	X
ejpam-2349	23	3	]	]	PUNCT
ejpam-2349	23	4	satisfying	satisfy	VERB
ejpam-2349	23	5	the	the	DET
ejpam-2349	23	6	following	follow	VERB
ejpam-2349	23	7	conditions	condition	NOUN
ejpam-2349	23	8	:	:	PUNCT
ejpam-2349	23	9	(	(	PUNCT
ejpam-2349	23	10	i	i	NOUN
ejpam-2349	23	11	)	)	PUNCT
ejpam-2349	23	12	for	for	ADP
ejpam-2349	23	13	each	each	DET
ejpam-2349	23	14	∼	∼	NOUN
ejpam-2349	23	15	u	u	PROPN
ejpam-2349	23	16	⊂	⊂	PROPN
ejpam-2349	23	17	u	u	PROPN
ejpam-2349	23	18	,	,	PUNCT
ejpam-2349	23	19	∑	∑	ADP
ejpam-2349	23	20	u∈	u∈	VERB
ejpam-2349	23	21	∼	∼	NOUN
ejpam-2349	23	22	u	u	NOUN
ejpam-2349	23	23	µx	µx	ADJ
ejpam-2349	23	24	(	(	PUNCT
ejpam-2349	23	25	u)≤	u)≤	ADP
ejpam-2349	23	26	1	1	NUM
ejpam-2349	23	27	(	(	PUNCT
ejpam-2349	23	28	ii	ii	NOUN
ejpam-2349	23	29	)	)	PUNCT
ejpam-2349	23	30	if	if	SCONJ
ejpam-2349	23	31	∼	∼	NOUN
ejpam-2349	23	32	u	u	NOUN
ejpam-2349	23	33	=	=	SYM
ejpam-2349	23	34	u	u	NOUN
ejpam-2349	23	35	,	,	PUNCT
ejpam-2349	23	36	then	then	ADV
ejpam-2349	23	37	∑	∑	ADP
ejpam-2349	23	38	u∈	u∈	VERB
ejpam-2349	23	39	∼	∼	NOUN
ejpam-2349	23	40	u	u	NOUN
ejpam-2349	23	41	µx	µx	NOUN
ejpam-2349	23	42	(	(	PUNCT
ejpam-2349	23	43	u	u	NOUN
ejpam-2349	23	44	)	)	PUNCT
ejpam-2349	23	45	=	=	SYM
ejpam-2349	23	46	1	1	NUM
ejpam-2349	23	47	or	or	CCONJ
ejpam-2349	23	48	∑	∑	ADV
ejpam-2349	23	49	u∈	u∈	VERB
ejpam-2349	23	50	∼	∼	NOUN
ejpam-2349	23	51	u	u	NOUN
ejpam-2349	23	52	µx	µx	NOUN
ejpam-2349	23	53	(	(	PUNCT
ejpam-2349	23	54	u	u	NOUN
ejpam-2349	23	55	)	)	PUNCT
ejpam-2349	23	56	=	=	SYM
ejpam-2349	23	57	0	0	NUM
ejpam-2349	23	58	µx	µx	VERB
ejpam-2349	23	59	is	be	AUX
ejpam-2349	23	60	called	call	VERB
ejpam-2349	23	61	the	the	DET
ejpam-2349	23	62	the	the	DET
ejpam-2349	23	63	probabilistic	probabilistic	ADJ
ejpam-2349	23	64	membership	membership	NOUN
ejpam-2349	23	65	function	function	NOUN
ejpam-2349	23	66	of	of	ADP
ejpam-2349	23	67	x	x	X
ejpam-2349	23	68	,	,	PUNCT
ejpam-2349	23	69	and	and	CCONJ
ejpam-2349	23	70	the	the	DET
ejpam-2349	23	71	value	value	NOUN
ejpam-2349	23	72	µx	µx	VERB
ejpam-2349	23	73	(	(	PUNCT
ejpam-2349	23	74	u	u	NOUN
ejpam-2349	23	75	)	)	PUNCT
ejpam-2349	23	76	is	be	AUX
ejpam-2349	23	77	called	call	VERB
ejpam-2349	23	78	the	the	DET
ejpam-2349	23	79	probabilistic	probabilistic	ADJ
ejpam-2349	23	80	grade	grade	NOUN
ejpam-2349	23	81	of	of	ADP
ejpam-2349	23	82	membership	membership	NOUN
ejpam-2349	23	83	of	of	ADP
ejpam-2349	23	84	u	u	PROPN
ejpam-2349	23	85	∈	∈	PROPN
ejpam-2349	23	86	u.	u.	NOUN
ejpam-2349	23	87	thus	thus	ADV
ejpam-2349	23	88	a	a	DET
ejpam-2349	23	89	probabilistic	probabilistic	ADJ
ejpam-2349	23	90	set	set	NOUN
ejpam-2349	23	91	x	x	PUNCT
ejpam-2349	23	92	over	over	ADP
ejpam-2349	23	93	u	u	NOUN
ejpam-2349	23	94	can	can	AUX
ejpam-2349	23	95	be	be	AUX
ejpam-2349	23	96	represented	represent	VERB
ejpam-2349	23	97	as	as	SCONJ
ejpam-2349	23	98	follows	follow	VERB
ejpam-2349	23	99	:	:	PUNCT
ejpam-2349	23	100	x	x	SYM
ejpam-2349	23	101	=	=	PRON
ejpam-2349	23	102	{	{	PUNCT
ejpam-2349	23	103	�	�	PROPN
ejpam-2349	23	104	µx	µx	NOUN
ejpam-2349	23	105	(	(	PUNCT
ejpam-2349	23	106	u)/u	u)/u	PROPN
ejpam-2349	23	107	�	�	PROPN
ejpam-2349	23	108	:	:	PUNCT
ejpam-2349	23	109	u	u	PROPN
ejpam-2349	23	110	∈	∈	PROPN
ejpam-2349	23	111	u	u	NOUN
ejpam-2349	23	112	}	}	PUNCT
ejpam-2349	23	113	.	.	PUNCT
ejpam-2349	24	1	note	note	VERB
ejpam-2349	24	2	that	that	SCONJ
ejpam-2349	24	3	the	the	DET
ejpam-2349	24	4	set	set	NOUN
ejpam-2349	24	5	of	of	ADP
ejpam-2349	24	6	all	all	DET
ejpam-2349	24	7	the	the	DET
ejpam-2349	24	8	probabilistic	probabilistic	ADJ
ejpam-2349	24	9	sets	set	NOUN
ejpam-2349	24	10	over	over	ADP
ejpam-2349	24	11	u	u	NOUN
ejpam-2349	24	12	will	will	AUX
ejpam-2349	24	13	be	be	AUX
ejpam-2349	24	14	denoted	denote	VERB
ejpam-2349	24	15	by	by	ADP
ejpam-2349	24	16	pr	pr	X
ejpam-2349	24	17	(	(	PUNCT
ejpam-2349	24	18	u	u	NOUN
ejpam-2349	24	19	)	)	PUNCT
ejpam-2349	24	20	.	.	PUNCT
ejpam-2349	25	1	example	example	NOUN
ejpam-2349	26	1	1	1	NUM
ejpam-2349	26	2	.	.	PUNCT
ejpam-2349	26	3	let	let	VERB
ejpam-2349	26	4	u	u	PRON
ejpam-2349	26	5	=	=	X
ejpam-2349	26	6	{	{	PUNCT
ejpam-2349	26	7	u1,u2,u3,u4	u1,u2,u3,u4	PROPN
ejpam-2349	26	8	}	}	PUNCT
ejpam-2349	26	9	be	be	AUX
ejpam-2349	26	10	a	a	DET
ejpam-2349	26	11	universal	universal	ADJ
ejpam-2349	26	12	set	set	NOUN
ejpam-2349	26	13	.	.	PUNCT
ejpam-2349	27	1	then	then	ADV
ejpam-2349	27	2	x	x	X
ejpam-2349	27	3	=	=	PRON
ejpam-2349	27	4	{	{	PUNCT
ejpam-2349	27	5	�	�	PROPN
ejpam-2349	27	6	0.4	0.4	NUM
ejpam-2349	27	7	/	/	SYM
ejpam-2349	27	8	u1	u1	PROPN
ejpam-2349	27	9	�	�	PROPN
ejpam-2349	27	10	,	,	PUNCT
ejpam-2349	27	11	�	�	PROPN
ejpam-2349	27	12	0.1	0.1	NUM
ejpam-2349	27	13	/	/	SYM
ejpam-2349	27	14	u2	u2	PROPN
ejpam-2349	27	15	�	�	PROPN
ejpam-2349	27	16	,	,	PUNCT
ejpam-2349	27	17	�	�	PROPN
ejpam-2349	27	18	0.2	0.2	NUM
ejpam-2349	27	19	/	/	SYM
ejpam-2349	27	20	u3	u3	PROPN
ejpam-2349	27	21	�	�	PROPN
ejpam-2349	27	22	,	,	PUNCT
ejpam-2349	27	23	�	�	PROPN
ejpam-2349	27	24	0.3	0.3	NUM
ejpam-2349	27	25	/	/	SYM
ejpam-2349	27	26	u4	u4	PROPN
ejpam-2349	27	27	�	�	PROPN
ejpam-2349	27	28	}	}	PUNCT
ejpam-2349	27	29	is	be	AUX
ejpam-2349	27	30	a	a	DET
ejpam-2349	27	31	probabilistic	probabilistic	ADJ
ejpam-2349	27	32	set	set	VERB
ejpam-2349	27	33	over	over	ADP
ejpam-2349	27	34	u.	u.	NOUN
ejpam-2349	27	35	definition	definition	NOUN
ejpam-2349	27	36	2	2	NUM
ejpam-2349	27	37	.	.	PUNCT
ejpam-2349	28	1	a	a	DET
ejpam-2349	28	2	probabilistic	probabilistic	ADJ
ejpam-2349	28	3	set	set	NOUN
ejpam-2349	28	4	x	x	PUNCT
ejpam-2349	28	5	over	over	ADP
ejpam-2349	28	6	u	u	NOUN
ejpam-2349	28	7	is	be	AUX
ejpam-2349	28	8	called	call	VERB
ejpam-2349	28	9	empty	empty	ADJ
ejpam-2349	28	10	probabilistic	probabilistic	ADJ
ejpam-2349	28	11	set	set	NOUN
ejpam-2349	28	12	if	if	SCONJ
ejpam-2349	28	13	its	its	PRON
ejpam-2349	28	14	membership	membership	NOUN
ejpam-2349	28	15	function	function	NOUN
ejpam-2349	28	16	is	be	AUX
ejpam-2349	28	17	zero	zero	NUM
ejpam-2349	28	18	everywhere	everywhere	ADV
ejpam-2349	28	19	in	in	ADP
ejpam-2349	28	20	u	u	NOUN
ejpam-2349	28	21	and	and	CCONJ
ejpam-2349	28	22	denoted	denote	VERB
ejpam-2349	28	23	by	by	ADP
ejpam-2349	28	24	;	;	PUNCT
ejpam-2349	28	25	.	.	PUNCT
ejpam-2349	29	1	i.e	i.e	X
ejpam-2349	29	2	,	,	PUNCT
ejpam-2349	29	3	µx	µx	VERB
ejpam-2349	29	4	:	:	PUNCT
ejpam-2349	29	5	u	u	NOUN
ejpam-2349	29	6	→	→	PROPN
ejpam-2349	29	7	i	i	PRON
ejpam-2349	29	8	,	,	PUNCT
ejpam-2349	29	9	µx	µx	INTJ
ejpam-2349	29	10	(	(	PUNCT
ejpam-2349	29	11	u	u	NOUN
ejpam-2349	29	12	)	)	PUNCT
ejpam-2349	29	13	=	=	SYM
ejpam-2349	29	14	0	0	X
ejpam-2349	29	15	.	.	NOUN
ejpam-2349	29	16	example	example	NOUN
ejpam-2349	30	1	2	2	NUM
ejpam-2349	30	2	.	.	PUNCT
ejpam-2349	30	3	let	let	VERB
ejpam-2349	30	4	u	u	PRON
ejpam-2349	30	5	=	=	NOUN
ejpam-2349	30	6	{	{	PUNCT
ejpam-2349	30	7	u1,u2,u3,u4,u5	u1,u2,u3,u4,u5	PROPN
ejpam-2349	30	8	}	}	PUNCT
ejpam-2349	30	9	is	be	AUX
ejpam-2349	30	10	a	a	DET
ejpam-2349	30	11	universal	universal	ADJ
ejpam-2349	30	12	set	set	NOUN
ejpam-2349	30	13	.	.	PUNCT
ejpam-2349	31	1	then	then	ADV
ejpam-2349	31	2	x	x	X
ejpam-2349	31	3	=	=	SYM
ejpam-2349	31	4	�	�	PROPN
ejpam-2349	31	5	�	�	PROPN
ejpam-2349	31	6	0	0	NUM
ejpam-2349	31	7	/	/	SYM
ejpam-2349	31	8	u1	u1	PROPN
ejpam-2349	31	9	�	�	PROPN
ejpam-2349	31	10	,	,	PUNCT
ejpam-2349	31	11	�	�	PROPN
ejpam-2349	31	12	0	0	NUM
ejpam-2349	31	13	/	/	SYM
ejpam-2349	31	14	u2	u2	PROPN
ejpam-2349	31	15	�	�	PROPN
ejpam-2349	31	16	,	,	PUNCT
ejpam-2349	31	17	�	�	PROPN
ejpam-2349	31	18	0	0	NUM
ejpam-2349	31	19	/	/	SYM
ejpam-2349	31	20	u3	u3	X
ejpam-2349	31	21	�	�	PROPN
ejpam-2349	31	22	,	,	PUNCT
ejpam-2349	31	23	�	�	PROPN
ejpam-2349	31	24	0	0	NUM
ejpam-2349	31	25	/	/	SYM
ejpam-2349	31	26	u4	u4	PROPN
ejpam-2349	31	27	�	�	PROPN
ejpam-2349	31	28	,	,	PUNCT
ejpam-2349	31	29	�	�	PROPN
ejpam-2349	31	30	0	0	NUM
ejpam-2349	31	31	/	/	SYM
ejpam-2349	31	32	u5	u5	PROPN
ejpam-2349	31	33	�	�	PROPN
ejpam-2349	31	34	=	=	PUNCT
ejpam-2349	31	35	;	;	PUNCT
ejpam-2349	31	36	is	be	AUX
ejpam-2349	31	37	an	an	DET
ejpam-2349	31	38	empty	empty	ADJ
ejpam-2349	31	39	probabilistic	probabilistic	ADJ
ejpam-2349	31	40	set	set	NOUN
ejpam-2349	31	41	.	.	PUNCT
ejpam-2349	32	1	3	3	X
ejpam-2349	32	2	.	.	X
ejpam-2349	32	3	probabilistic	probabilistic	ADJ
ejpam-2349	32	4	soft	soft	ADJ
ejpam-2349	32	5	set	set	NOUN
ejpam-2349	32	6	in	in	ADP
ejpam-2349	32	7	this	this	DET
ejpam-2349	32	8	section	section	NOUN
ejpam-2349	32	9	,	,	PUNCT
ejpam-2349	32	10	we	we	PRON
ejpam-2349	32	11	define	define	VERB
ejpam-2349	32	12	probabilistic	probabilistic	ADJ
ejpam-2349	32	13	soft	soft	ADJ
ejpam-2349	32	14	sets	set	NOUN
ejpam-2349	32	15	and	and	CCONJ
ejpam-2349	32	16	their	their	PRON
ejpam-2349	32	17	operations	operation	NOUN
ejpam-2349	32	18	.	.	PUNCT
ejpam-2349	33	1	from	from	ADP
ejpam-2349	33	2	now	now	ADV
ejpam-2349	33	3	on	on	ADV
ejpam-2349	33	4	,	,	PUNCT
ejpam-2349	33	5	we	we	PRON
ejpam-2349	33	6	will	will	AUX
ejpam-2349	33	7	use	use	VERB
ejpam-2349	33	8	γp	γp	ADP
ejpam-2349	33	9	a	a	DET
ejpam-2349	33	10	,	,	PUNCT
ejpam-2349	33	11	γp	γp	PROPN
ejpam-2349	33	12	b	b	PROPN
ejpam-2349	33	13	,	,	PUNCT
ejpam-2349	33	14	.	.	PUNCT
ejpam-2349	33	15	.	.	PUNCT
ejpam-2349	34	1	..	..	PUNCT
ejpam-2349	35	1	etc	etc	X
ejpam-2349	35	2	,	,	PUNCT
ejpam-2349	35	3	for	for	ADP
ejpam-2349	35	4	probabilistic	probabilistic	ADJ
ejpam-2349	35	5	soft	soft	ADJ
ejpam-2349	35	6	sets	set	NOUN
ejpam-2349	35	7	and	and	CCONJ
ejpam-2349	35	8	γp	γp	X
ejpam-2349	35	9	a	a	DET
ejpam-2349	35	10	,	,	PUNCT
ejpam-2349	35	11	γp	γp	PROPN
ejpam-2349	35	12	b	b	PROPN
ejpam-2349	35	13	,	,	PUNCT
ejpam-2349	35	14	.	.	PUNCT
ejpam-2349	35	15	.	.	PUNCT
ejpam-2349	36	1	..	..	PUNCT
ejpam-2349	37	1	etc	etc	X
ejpam-2349	37	2	.	.	X
ejpam-2349	37	3	for	for	ADP
ejpam-2349	37	4	their	their	PRON
ejpam-2349	37	5	probabilistic	probabilistic	ADJ
ejpam-2349	37	6	approximate	approximate	ADJ
ejpam-2349	37	7	functions	function	NOUN
ejpam-2349	37	8	,	,	PUNCT
ejpam-2349	37	9	respectively	respectively	ADV
ejpam-2349	37	10	.	.	PUNCT
ejpam-2349	38	1	throughout	throughout	ADP
ejpam-2349	38	2	this	this	DET
ejpam-2349	38	3	work	work	NOUN
ejpam-2349	38	4	,	,	PUNCT
ejpam-2349	38	5	u	u	NOUN
ejpam-2349	38	6	refers	refer	VERB
ejpam-2349	38	7	to	to	ADP
ejpam-2349	38	8	an	an	DET
ejpam-2349	38	9	initial	initial	ADJ
ejpam-2349	38	10	universe	universe	NOUN
ejpam-2349	38	11	,	,	PUNCT
ejpam-2349	38	12	e	e	X
ejpam-2349	38	13	is	be	AUX
ejpam-2349	38	14	a	a	DET
ejpam-2349	38	15	set	set	NOUN
ejpam-2349	38	16	of	of	ADP
ejpam-2349	38	17	parameters	parameter	NOUN
ejpam-2349	38	18	and	and	CCONJ
ejpam-2349	38	19	a⊂	a⊂	VERB
ejpam-2349	38	20	e.	e.	PROPN
ejpam-2349	38	21	definition	definition	NOUN
ejpam-2349	38	22	3	3	NUM
ejpam-2349	38	23	.	.	PUNCT
ejpam-2349	39	1	a	a	DET
ejpam-2349	39	2	probabilistic	probabilistic	ADJ
ejpam-2349	39	3	soft	soft	ADJ
ejpam-2349	39	4	set	set	NOUN
ejpam-2349	39	5	(	(	PUNCT
ejpam-2349	39	6	prs	prs	NOUN
ejpam-2349	39	7	-	-	PUNCT
ejpam-2349	39	8	set	set	NOUN
ejpam-2349	39	9	)	)	PUNCT
ejpam-2349	39	10	γp	γp	ADP
ejpam-2349	39	11	a	a	PRON
ejpam-2349	39	12	over	over	ADP
ejpam-2349	39	13	u	u	NOUN
ejpam-2349	39	14	is	be	AUX
ejpam-2349	39	15	a	a	DET
ejpam-2349	39	16	set	set	NOUN
ejpam-2349	39	17	defined	define	VERB
ejpam-2349	39	18	by	by	ADP
ejpam-2349	39	19	a	a	DET
ejpam-2349	39	20	function	function	NOUN
ejpam-2349	39	21	γp	γp	ADP
ejpam-2349	39	22	a	a	DET
ejpam-2349	39	23	representing	represent	VERB
ejpam-2349	39	24	a	a	DET
ejpam-2349	39	25	mapping	mapping	NOUN
ejpam-2349	39	26	γp	γp	NOUN
ejpam-2349	39	27	a	a	PRON
ejpam-2349	39	28	:	:	PUNCT
ejpam-2349	39	29	e→	e→	NOUN
ejpam-2349	39	30	pr	pr	X
ejpam-2349	39	31	(	(	PUNCT
ejpam-2349	39	32	u	u	NOUN
ejpam-2349	39	33	)	)	PUNCT
ejpam-2349	39	34	such	such	ADJ
ejpam-2349	39	35	that	that	PRON
ejpam-2349	39	36	γp	γp	PROPN
ejpam-2349	39	37	a	a	DET
ejpam-2349	39	38	(	(	PUNCT
ejpam-2349	39	39	x	x	NOUN
ejpam-2349	39	40	)	)	PUNCT
ejpam-2349	39	41	=	=	SYM
ejpam-2349	39	42	;	;	PUNCT
ejpam-2349	39	43	if	if	SCONJ
ejpam-2349	39	44	x	x	X
ejpam-2349	39	45	/∈	/∈	PUNCT
ejpam-2349	39	46	a.	a.	NOUN
ejpam-2349	39	47	ç	ç	PROPN
ejpam-2349	39	48	.	.	PUNCT
ejpam-2349	39	49	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	39	50	)	)	PUNCT
ejpam-2349	39	51	,	,	PUNCT
ejpam-2349	39	52	h.	h.	PROPN
ejpam-2349	39	53	poşul	poşul	PROPN
ejpam-2349	39	54	/	/	PUNCT
ejpam-2349	39	55	eur	eur	PROPN
ejpam-2349	39	56	.	.	PUNCT
ejpam-2349	40	1	j.	j.	PROPN
ejpam-2349	40	2	pure	pure	PROPN
ejpam-2349	40	3	appl	appl	PROPN
ejpam-2349	40	4	.	.	PROPN
ejpam-2349	40	5	math	math	PROPN
ejpam-2349	40	6	,	,	PUNCT
ejpam-2349	40	7	9	9	NUM
ejpam-2349	40	8	(	(	PUNCT
ejpam-2349	40	9	2016	2016	NUM
ejpam-2349	40	10	)	)	PUNCT
ejpam-2349	40	11	,	,	PUNCT
ejpam-2349	40	12	333	333	NUM
ejpam-2349	40	13	-	-	SYM
ejpam-2349	40	14	339	339	NUM
ejpam-2349	40	15	335	335	NUM
ejpam-2349	40	16	here	here	ADV
ejpam-2349	40	17	,	,	PUNCT
ejpam-2349	40	18	γp	γp	PROPN
ejpam-2349	40	19	a	a	PRON
ejpam-2349	40	20	is	be	AUX
ejpam-2349	40	21	called	call	VERB
ejpam-2349	40	22	probabilistic	probabilistic	ADJ
ejpam-2349	40	23	approximate	approximate	ADJ
ejpam-2349	40	24	function	function	NOUN
ejpam-2349	40	25	of	of	ADP
ejpam-2349	40	26	the	the	DET
ejpam-2349	40	27	probabilistic	probabilistic	ADJ
ejpam-2349	40	28	soft	soft	ADJ
ejpam-2349	40	29	set	set	NOUN
ejpam-2349	40	30	γp	γp	NOUN
ejpam-2349	40	31	a	a	PRON
ejpam-2349	40	32	.	.	PUNCT
ejpam-2349	41	1	hence	hence	ADV
ejpam-2349	41	2	probabilistic	probabilistic	VERB
ejpam-2349	41	3	soft	soft	ADJ
ejpam-2349	41	4	set	set	NOUN
ejpam-2349	41	5	γp	γp	ADP
ejpam-2349	41	6	a	a	PRON
ejpam-2349	41	7	over	over	ADP
ejpam-2349	41	8	u	u	NOUN
ejpam-2349	41	9	can	can	AUX
ejpam-2349	41	10	be	be	AUX
ejpam-2349	41	11	represented	represent	VERB
ejpam-2349	41	12	by	by	ADP
ejpam-2349	41	13	the	the	DET
ejpam-2349	41	14	set	set	NOUN
ejpam-2349	41	15	of	of	ADP
ejpam-2349	41	16	ordered	order	VERB
ejpam-2349	41	17	pairs	pair	NOUN
ejpam-2349	41	18	γp	γp	ADP
ejpam-2349	41	19	a	a	DET
ejpam-2349	41	20	=	=	X
ejpam-2349	41	21	{	{	PUNCT
ejpam-2349	41	22	�	�	PROPN
ejpam-2349	41	23	x	x	INTJ
ejpam-2349	41	24	,	,	PUNCT
ejpam-2349	41	25	γp	γp	PROPN
ejpam-2349	41	26	a	a	DET
ejpam-2349	41	27	(	(	PUNCT
ejpam-2349	41	28	x	x	NOUN
ejpam-2349	41	29	)	)	PUNCT
ejpam-2349	41	30	�	�	PROPN
ejpam-2349	41	31	:	:	PUNCT
ejpam-2349	41	32	x	x	PUNCT
ejpam-2349	41	33	∈	∈	PROPN
ejpam-2349	41	34	e	e	NOUN
ejpam-2349	41	35	,	,	PUNCT
ejpam-2349	41	36	γp	γp	PROPN
ejpam-2349	41	37	a	a	DET
ejpam-2349	41	38	(	(	PUNCT
ejpam-2349	41	39	x	x	X
ejpam-2349	41	40	)	)	PUNCT
ejpam-2349	41	41	∈	∈	NOUN
ejpam-2349	41	42	pr	pr	NOUN
ejpam-2349	41	43	(	(	PUNCT
ejpam-2349	41	44	u	u	NOUN
ejpam-2349	41	45	)	)	PUNCT
ejpam-2349	41	46	}	}	PUNCT
ejpam-2349	41	47	.	.	PUNCT
ejpam-2349	42	1	note	note	VERB
ejpam-2349	42	2	that	that	SCONJ
ejpam-2349	42	3	the	the	DET
ejpam-2349	42	4	set	set	NOUN
ejpam-2349	42	5	of	of	ADP
ejpam-2349	42	6	all	all	DET
ejpam-2349	42	7	probabilistic	probabilistic	ADJ
ejpam-2349	42	8	soft	soft	ADJ
ejpam-2349	42	9	set	set	NOUN
ejpam-2349	42	10	γp	γp	ADP
ejpam-2349	42	11	a	a	PRON
ejpam-2349	42	12	over	over	ADP
ejpam-2349	42	13	u	u	NOUN
ejpam-2349	42	14	will	will	AUX
ejpam-2349	42	15	be	be	AUX
ejpam-2349	42	16	denoted	denote	VERB
ejpam-2349	42	17	by	by	ADP
ejpam-2349	42	18	pr	pr	NOUN
ejpam-2349	42	19	s	s	PROPN
ejpam-2349	42	20	(	(	PUNCT
ejpam-2349	42	21	u	u	NOUN
ejpam-2349	42	22	)	)	PUNCT
ejpam-2349	42	23	.	.	PUNCT
ejpam-2349	43	1	example	example	NOUN
ejpam-2349	44	1	3	3	X
ejpam-2349	44	2	.	.	X
ejpam-2349	44	3	assume	assume	VERB
ejpam-2349	44	4	that	that	SCONJ
ejpam-2349	44	5	u	u	PRON
ejpam-2349	44	6	=	=	NOUN
ejpam-2349	44	7	{	{	PUNCT
ejpam-2349	44	8	u1,u2,u3,u4,u5	u1,u2,u3,u4,u5	PROPN
ejpam-2349	44	9	}	}	PUNCT
ejpam-2349	44	10	is	be	AUX
ejpam-2349	44	11	a	a	DET
ejpam-2349	44	12	universal	universal	ADJ
ejpam-2349	44	13	set	set	NOUN
ejpam-2349	44	14	and	and	CCONJ
ejpam-2349	44	15	e	e	NOUN
ejpam-2349	44	16	=	=	PUNCT
ejpam-2349	44	17	{	{	PUNCT
ejpam-2349	44	18	x1	x1	PROPN
ejpam-2349	44	19	,	,	PUNCT
ejpam-2349	44	20	x2	x2	PROPN
ejpam-2349	44	21	,	,	PUNCT
ejpam-2349	44	22	x3	x3	PROPN
ejpam-2349	44	23	,	,	PUNCT
ejpam-2349	44	24	x4	x4	PROPN
ejpam-2349	44	25	}	}	PUNCT
ejpam-2349	44	26	is	be	AUX
ejpam-2349	44	27	a	a	DET
ejpam-2349	44	28	set	set	NOUN
ejpam-2349	44	29	of	of	ADP
ejpam-2349	44	30	all	all	DET
ejpam-2349	44	31	parameters	parameter	NOUN
ejpam-2349	44	32	.	.	PUNCT
ejpam-2349	45	1	if	if	SCONJ
ejpam-2349	45	2	a=	a=	VERB
ejpam-2349	45	3	{	{	PUNCT
ejpam-2349	45	4	x1	x1	ADJ
ejpam-2349	45	5	,	,	PUNCT
ejpam-2349	45	6	x3	x3	ADJ
ejpam-2349	45	7	,	,	PUNCT
ejpam-2349	45	8	x4	x4	PROPN
ejpam-2349	45	9	}	}	PUNCT
ejpam-2349	45	10	,	,	PUNCT
ejpam-2349	45	11	γp	γp	PROPN
ejpam-2349	45	12	a	a	DET
ejpam-2349	45	13	�	�	PROPN
ejpam-2349	45	14	x1	x1	PROPN
ejpam-2349	45	15	�	�	PROPN
ejpam-2349	45	16	=	=	PRON
ejpam-2349	45	17	{	{	PUNCT
ejpam-2349	45	18	0.9	0.9	NUM
ejpam-2349	45	19	/	/	SYM
ejpam-2349	45	20	u2	u2	NOUN
ejpam-2349	45	21	,	,	PUNCT
ejpam-2349	45	22	0.1	0.1	NUM
ejpam-2349	45	23	/	/	SYM
ejpam-2349	45	24	u4	u4	PROPN
ejpam-2349	45	25	}	}	PUNCT
ejpam-2349	45	26	γp	γp	PROPN
ejpam-2349	45	27	a	a	DET
ejpam-2349	45	28	�	�	PROPN
ejpam-2349	45	29	x3	x3	PROPN
ejpam-2349	45	30	�	�	PROPN
ejpam-2349	46	1	=	=	PRON
ejpam-2349	46	2	{	{	PUNCT
ejpam-2349	46	3	0.2	0.2	NUM
ejpam-2349	46	4	/	/	SYM
ejpam-2349	46	5	u1	u1	NOUN
ejpam-2349	46	6	,	,	PUNCT
ejpam-2349	46	7	0.2	0.2	NUM
ejpam-2349	46	8	/	/	SYM
ejpam-2349	46	9	u2	u2	NOUN
ejpam-2349	46	10	,	,	PUNCT
ejpam-2349	46	11	0.2	0.2	NUM
ejpam-2349	46	12	/	/	SYM
ejpam-2349	46	13	u3	u3	NOUN
ejpam-2349	46	14	,	,	PUNCT
ejpam-2349	46	15	0.2	0.2	NUM
ejpam-2349	46	16	/	/	SYM
ejpam-2349	46	17	u4	u4	PROPN
ejpam-2349	46	18	,	,	PUNCT
ejpam-2349	46	19	0.2	0.2	NUM
ejpam-2349	46	20	/	/	SYM
ejpam-2349	46	21	u5	u5	PROPN
ejpam-2349	46	22	}	}	PUNCT
ejpam-2349	46	23	γp	γp	ADP
ejpam-2349	46	24	a	a	DET
ejpam-2349	46	25	�	�	PROPN
ejpam-2349	46	26	x4	x4	PROPN
ejpam-2349	46	27	�	�	PROPN
ejpam-2349	46	28	=	=	PRON
ejpam-2349	46	29	{	{	PUNCT
ejpam-2349	46	30	0.2	0.2	NUM
ejpam-2349	46	31	/	/	SYM
ejpam-2349	46	32	u1	u1	NOUN
ejpam-2349	46	33	,	,	PUNCT
ejpam-2349	46	34	0.4	0.4	NUM
ejpam-2349	46	35	/	/	SYM
ejpam-2349	46	36	u3	u3	PROPN
ejpam-2349	46	37	,	,	PUNCT
ejpam-2349	46	38	0.4	0.4	NUM
ejpam-2349	46	39	/	/	SYM
ejpam-2349	46	40	u5	u5	PROPN
ejpam-2349	46	41	}	}	PUNCT
ejpam-2349	46	42	then	then	ADV
ejpam-2349	46	43	the	the	DET
ejpam-2349	46	44	prs	prs	NOUN
ejpam-2349	46	45	-	-	PUNCT
ejpam-2349	46	46	set	set	VERB
ejpam-2349	46	47	γp	γp	NOUN
ejpam-2349	46	48	a	a	PRON
ejpam-2349	46	49	is	be	AUX
ejpam-2349	46	50	written	write	VERB
ejpam-2349	46	51	γp	γp	ADP
ejpam-2349	46	52	a	a	DET
ejpam-2349	46	53	=	=	NOUN
ejpam-2349	46	54	{	{	PUNCT
ejpam-2349	46	55	�	�	PROPN
ejpam-2349	46	56	x1	x1	PROPN
ejpam-2349	46	57	,	,	PUNCT
ejpam-2349	46	58	{	{	PUNCT
ejpam-2349	46	59	0.9	0.9	NUM
ejpam-2349	46	60	/	/	SYM
ejpam-2349	46	61	u2	u2	NOUN
ejpam-2349	46	62	,	,	PUNCT
ejpam-2349	46	63	0.1	0.1	NUM
ejpam-2349	46	64	/	/	SYM
ejpam-2349	46	65	u4	u4	PROPN
ejpam-2349	46	66	}	}	PUNCT
ejpam-2349	46	67	�	�	PROPN
ejpam-2349	46	68	,	,	PUNCT
ejpam-2349	46	69	�	�	PROPN
ejpam-2349	46	70	x3	x3	PROPN
ejpam-2349	46	71	,	,	PUNCT
ejpam-2349	46	72	{	{	PUNCT
ejpam-2349	46	73	0.2	0.2	NUM
ejpam-2349	46	74	/	/	SYM
ejpam-2349	46	75	u1	u1	NOUN
ejpam-2349	46	76	,	,	PUNCT
ejpam-2349	46	77	0.2	0.2	NUM
ejpam-2349	46	78	/	/	SYM
ejpam-2349	46	79	u2	u2	NOUN
ejpam-2349	46	80	,	,	PUNCT
ejpam-2349	46	81	0.2	0.2	NUM
ejpam-2349	46	82	/	/	SYM
ejpam-2349	46	83	u3	u3	NOUN
ejpam-2349	46	84	,	,	PUNCT
ejpam-2349	46	85	0.2	0.2	NUM
ejpam-2349	46	86	/	/	SYM
ejpam-2349	46	87	u4	u4	PROPN
ejpam-2349	46	88	,	,	PUNCT
ejpam-2349	46	89	0.2	0.2	NUM
ejpam-2349	46	90	/	/	SYM
ejpam-2349	46	91	u5	u5	PROPN
ejpam-2349	46	92	}	}	PUNCT
ejpam-2349	46	93	�	�	PROPN
ejpam-2349	46	94	,	,	PUNCT
ejpam-2349	46	95	�	�	PROPN
ejpam-2349	46	96	x4	x4	PROPN
ejpam-2349	46	97	,	,	PUNCT
ejpam-2349	46	98	{	{	PUNCT
ejpam-2349	46	99	0.2	0.2	NUM
ejpam-2349	46	100	/	/	SYM
ejpam-2349	46	101	u1	u1	NOUN
ejpam-2349	46	102	,	,	PUNCT
ejpam-2349	46	103	0.4	0.4	NUM
ejpam-2349	46	104	/	/	SYM
ejpam-2349	46	105	u3	u3	PROPN
ejpam-2349	46	106	,	,	PUNCT
ejpam-2349	46	107	0.4	0.4	NUM
ejpam-2349	46	108	/	/	SYM
ejpam-2349	46	109	u5	u5	PROPN
ejpam-2349	46	110	}	}	PUNCT
ejpam-2349	46	111	�	�	PROPN
ejpam-2349	46	112	}	}	PUNCT
ejpam-2349	46	113	.	.	PUNCT
ejpam-2349	47	1	definition	definition	NOUN
ejpam-2349	47	2	4	4	NUM
ejpam-2349	47	3	.	.	PUNCT
ejpam-2349	48	1	let	let	VERB
ejpam-2349	48	2	γp	γp	VERB
ejpam-2349	48	3	a	a	DET
ejpam-2349	48	4	∈	∈	PROPN
ejpam-2349	48	5	pr	pr	NOUN
ejpam-2349	48	6	s	s	NOUN
ejpam-2349	48	7	(	(	PUNCT
ejpam-2349	48	8	u	u	NOUN
ejpam-2349	48	9	)	)	PUNCT
ejpam-2349	48	10	.	.	PUNCT
ejpam-2349	49	1	if	if	SCONJ
ejpam-2349	49	2	γp	γp	PROPN
ejpam-2349	49	3	a	a	DET
ejpam-2349	49	4	(	(	PUNCT
ejpam-2349	49	5	x	x	NOUN
ejpam-2349	49	6	)	)	PUNCT
ejpam-2349	49	7	=	=	SYM
ejpam-2349	49	8	;	;	PUNCT
ejpam-2349	49	9	for	for	ADP
ejpam-2349	49	10	all	all	DET
ejpam-2349	49	11	x	x	SYM
ejpam-2349	49	12	∈	∈	PROPN
ejpam-2349	49	13	a	a	DET
ejpam-2349	49	14	then	then	ADV
ejpam-2349	49	15	γp	γp	PROPN
ejpam-2349	49	16	a	a	PRON
ejpam-2349	49	17	is	be	AUX
ejpam-2349	49	18	called	call	VERB
ejpam-2349	49	19	a−impossible	a−impossible	ADJ
ejpam-2349	49	20	prs	prs	NOUN
ejpam-2349	49	21	-	-	PUNCT
ejpam-2349	49	22	set	set	NOUN
ejpam-2349	49	23	,	,	PUNCT
ejpam-2349	49	24	denoted	denote	VERB
ejpam-2349	49	25	by	by	ADP
ejpam-2349	49	26	γp	γp	PROPN
ejpam-2349	49	27	φ	φ	PROPN
ejpam-2349	49	28	.	.	PROPN
ejpam-2349	49	29	example	example	NOUN
ejpam-2349	50	1	4	4	NUM
ejpam-2349	50	2	.	.	X
ejpam-2349	50	3	assume	assume	VERB
ejpam-2349	50	4	that	that	SCONJ
ejpam-2349	50	5	u	u	PRON
ejpam-2349	50	6	=	=	NOUN
ejpam-2349	50	7	{	{	PUNCT
ejpam-2349	50	8	u1,u2,u3,u4,u5	u1,u2,u3,u4,u5	PROPN
ejpam-2349	50	9	}	}	PUNCT
ejpam-2349	50	10	is	be	AUX
ejpam-2349	50	11	a	a	DET
ejpam-2349	50	12	universal	universal	ADJ
ejpam-2349	50	13	set	set	NOUN
ejpam-2349	50	14	and	and	CCONJ
ejpam-2349	50	15	e	e	NOUN
ejpam-2349	50	16	=	=	PUNCT
ejpam-2349	50	17	{	{	PUNCT
ejpam-2349	50	18	x1	x1	PROPN
ejpam-2349	50	19	,	,	PUNCT
ejpam-2349	50	20	x2	x2	PROPN
ejpam-2349	50	21	,	,	PUNCT
ejpam-2349	50	22	x3	x3	PROPN
ejpam-2349	50	23	,	,	PUNCT
ejpam-2349	50	24	x4	x4	PROPN
ejpam-2349	50	25	}	}	PUNCT
ejpam-2349	50	26	is	be	AUX
ejpam-2349	50	27	a	a	DET
ejpam-2349	50	28	set	set	NOUN
ejpam-2349	50	29	of	of	ADP
ejpam-2349	50	30	all	all	DET
ejpam-2349	50	31	parameters	parameter	NOUN
ejpam-2349	50	32	.	.	PUNCT
ejpam-2349	51	1	if	if	SCONJ
ejpam-2349	51	2	a=	a=	VERB
ejpam-2349	51	3	{	{	PUNCT
ejpam-2349	51	4	x1	x1	ADJ
ejpam-2349	51	5	,	,	PUNCT
ejpam-2349	51	6	x2	x2	PROPN
ejpam-2349	51	7	}	}	PUNCT
ejpam-2349	51	8	,	,	PUNCT
ejpam-2349	51	9	and	and	CCONJ
ejpam-2349	51	10	γp	γp	VERB
ejpam-2349	51	11	a	a	DET
ejpam-2349	51	12	�	�	PROPN
ejpam-2349	51	13	x1	x1	PROPN
ejpam-2349	51	14	�	�	PROPN
ejpam-2349	51	15	=	=	SYM
ejpam-2349	51	16	;	;	PUNCT
ejpam-2349	51	17	,	,	PUNCT
ejpam-2349	51	18	γp	γp	PROPN
ejpam-2349	51	19	a	a	DET
ejpam-2349	51	20	�	�	PROPN
ejpam-2349	51	21	x2	x2	PROPN
ejpam-2349	51	22	�	�	PROPN
ejpam-2349	51	23	=	=	PUNCT
ejpam-2349	51	24	;	;	PUNCT
ejpam-2349	51	25	,	,	PUNCT
ejpam-2349	51	26	then	then	ADV
ejpam-2349	51	27	probabilistic	probabilistic	VERB
ejpam-2349	51	28	soft	soft	ADJ
ejpam-2349	51	29	set	set	NOUN
ejpam-2349	51	30	γp	γp	ADP
ejpam-2349	51	31	a	a	PRON
ejpam-2349	51	32	is	be	AUX
ejpam-2349	51	33	an	an	DET
ejpam-2349	51	34	impossible	impossible	ADJ
ejpam-2349	51	35	prs	prs	NOUN
ejpam-2349	51	36	-	-	PUNCT
ejpam-2349	51	37	set	set	NOUN
ejpam-2349	51	38	,	,	PUNCT
ejpam-2349	51	39	i.e.	i.e.	X
ejpam-2349	51	40	γp	γp	ADP
ejpam-2349	51	41	a	a	DET
ejpam-2349	51	42	=	=	X
ejpam-2349	51	43	γ	γ	X
ejpam-2349	51	44	p	p	PROPN
ejpam-2349	51	45	φ	φ	PROPN
ejpam-2349	51	46	.	.	PUNCT
ejpam-2349	52	1	definition	definition	NOUN
ejpam-2349	52	2	5	5	NUM
ejpam-2349	52	3	.	.	PUNCT
ejpam-2349	53	1	let	let	VERB
ejpam-2349	53	2	γp	γp	PRON
ejpam-2349	53	3	a	a	DET
ejpam-2349	53	4	,	,	PUNCT
ejpam-2349	53	5	γp	γp	PROPN
ejpam-2349	53	6	b	b	PROPN
ejpam-2349	53	7	∈	∈	PROPN
ejpam-2349	53	8	pr	pr	NOUN
ejpam-2349	53	9	s	s	X
ejpam-2349	53	10	(	(	PUNCT
ejpam-2349	53	11	u	u	NOUN
ejpam-2349	53	12	)	)	PUNCT
ejpam-2349	53	13	.	.	PUNCT
ejpam-2349	54	1	then	then	ADV
ejpam-2349	54	2	γp	γp	VERB
ejpam-2349	54	3	a	a	PRON
ejpam-2349	54	4	is	be	AUX
ejpam-2349	54	5	a	a	DET
ejpam-2349	54	6	prs	prs	NOUN
ejpam-2349	54	7	-	-	PUNCT
ejpam-2349	54	8	subset	subset	NOUN
ejpam-2349	54	9	of	of	ADP
ejpam-2349	54	10	γp	γp	PROPN
ejpam-2349	54	11	b	b	PROPN
ejpam-2349	54	12	,	,	PUNCT
ejpam-2349	54	13	denoted	denote	VERB
ejpam-2349	54	14	by	by	ADP
ejpam-2349	54	15	γp	γp	PROPN
ejpam-2349	54	16	a	a	DET
ejpam-2349	54	17	e⊆γp	e⊆γp	PROPN
ejpam-2349	54	18	b	b	PROPN
ejpam-2349	54	19	,	,	PUNCT
ejpam-2349	54	20	if	if	SCONJ
ejpam-2349	54	21	a	a	DET
ejpam-2349	54	22	⊂	⊂	PROPN
ejpam-2349	54	23	b	b	PROPN
ejpam-2349	54	24	and	and	CCONJ
ejpam-2349	54	25	γp	γp	X
ejpam-2349	54	26	a	a	DET
ejpam-2349	54	27	(	(	PUNCT
ejpam-2349	54	28	x	x	NOUN
ejpam-2349	54	29	)	)	PUNCT
ejpam-2349	54	30	⊆	⊆	NUM
ejpam-2349	54	31	γ	γ	X
ejpam-2349	54	32	p	p	PROPN
ejpam-2349	54	33	b	b	PROPN
ejpam-2349	54	34	(	(	PUNCT
ejpam-2349	54	35	x	x	NOUN
ejpam-2349	54	36	)	)	PUNCT
ejpam-2349	54	37	for	for	ADP
ejpam-2349	54	38	all	all	DET
ejpam-2349	54	39	x	x	SYM
ejpam-2349	54	40	∈	∈	PROPN
ejpam-2349	54	41	a.	a.	NOUN
ejpam-2349	54	42	remark	remark	NOUN
ejpam-2349	54	43	1	1	NUM
ejpam-2349	54	44	.	.	PUNCT
ejpam-2349	55	1	as	as	ADP
ejpam-2349	55	2	in	in	ADP
ejpam-2349	55	3	the	the	DET
ejpam-2349	55	4	definition	definition	NOUN
ejpam-2349	55	5	of	of	ADP
ejpam-2349	55	6	the	the	DET
ejpam-2349	55	7	classical	classical	ADJ
ejpam-2349	55	8	subset	subset	NOUN
ejpam-2349	55	9	,	,	PUNCT
ejpam-2349	55	10	γp	γp	ADP
ejpam-2349	55	11	a	a	DET
ejpam-2349	55	12	e⊆γp	e⊆γp	PROPN
ejpam-2349	55	13	b	b	PROPN
ejpam-2349	55	14	does	do	AUX
ejpam-2349	55	15	not	not	PART
ejpam-2349	55	16	imply	imply	VERB
ejpam-2349	55	17	that	that	SCONJ
ejpam-2349	55	18	every	every	DET
ejpam-2349	55	19	element	element	NOUN
ejpam-2349	55	20	of	of	ADP
ejpam-2349	55	21	γp	γp	PROPN
ejpam-2349	55	22	a	a	PRON
ejpam-2349	55	23	is	be	AUX
ejpam-2349	55	24	an	an	DET
ejpam-2349	55	25	element	element	NOUN
ejpam-2349	55	26	of	of	ADP
ejpam-2349	55	27	γp	γp	PROPN
ejpam-2349	55	28	b	b	PROPN
ejpam-2349	55	29	.	.	PUNCT
ejpam-2349	55	30	example	example	NOUN
ejpam-2349	56	1	5	5	NUM
ejpam-2349	56	2	.	.	X
ejpam-2349	56	3	assume	assume	VERB
ejpam-2349	56	4	that	that	SCONJ
ejpam-2349	56	5	u	u	PRON
ejpam-2349	56	6	=	=	NOUN
ejpam-2349	56	7	{	{	PUNCT
ejpam-2349	56	8	u1,u2,u3,u4,u5	u1,u2,u3,u4,u5	PROPN
ejpam-2349	56	9	}	}	PUNCT
ejpam-2349	56	10	is	be	AUX
ejpam-2349	56	11	a	a	DET
ejpam-2349	56	12	universal	universal	ADJ
ejpam-2349	56	13	set	set	NOUN
ejpam-2349	56	14	and	and	CCONJ
ejpam-2349	56	15	e	e	NOUN
ejpam-2349	56	16	=	=	PUNCT
ejpam-2349	56	17	{	{	PUNCT
ejpam-2349	56	18	x1	x1	PROPN
ejpam-2349	56	19	,	,	PUNCT
ejpam-2349	56	20	x2	x2	PROPN
ejpam-2349	56	21	,	,	PUNCT
ejpam-2349	56	22	x3	x3	ADJ
ejpam-2349	56	23	}	}	PUNCT
ejpam-2349	56	24	is	be	AUX
ejpam-2349	56	25	a	a	DET
ejpam-2349	56	26	set	set	NOUN
ejpam-2349	56	27	of	of	ADP
ejpam-2349	56	28	all	all	DET
ejpam-2349	56	29	parameters	parameter	NOUN
ejpam-2349	56	30	.	.	PUNCT
ejpam-2349	57	1	x1→{0.4	x1→{0.4	PROPN
ejpam-2349	57	2	/	/	SYM
ejpam-2349	57	3	u1	u1	NOUN
ejpam-2349	57	4	,	,	PUNCT
ejpam-2349	57	5	0.2	0.2	NUM
ejpam-2349	57	6	/	/	SYM
ejpam-2349	57	7	u2	u2	NOUN
ejpam-2349	57	8	,	,	PUNCT
ejpam-2349	57	9	0.4	0.4	NUM
ejpam-2349	57	10	/	/	SYM
ejpam-2349	57	11	u5	u5	ADJ
ejpam-2349	57	12	}	}	PUNCT
ejpam-2349	57	13	x2→{0.2	x2→{0.2	PROPN
ejpam-2349	57	14	/	/	SYM
ejpam-2349	57	15	u1	u1	NOUN
ejpam-2349	57	16	,	,	PUNCT
ejpam-2349	57	17	0.4	0.4	NUM
ejpam-2349	57	18	/	/	SYM
ejpam-2349	57	19	u2	u2	NOUN
ejpam-2349	57	20	,	,	PUNCT
ejpam-2349	57	21	0.1	0.1	NUM
ejpam-2349	57	22	/	/	SYM
ejpam-2349	57	23	u3	u3	NOUN
ejpam-2349	57	24	,	,	PUNCT
ejpam-2349	57	25	0.1	0.1	NUM
ejpam-2349	57	26	/	/	SYM
ejpam-2349	57	27	u4	u4	PROPN
ejpam-2349	57	28	,	,	PUNCT
ejpam-2349	57	29	0.2	0.2	NUM
ejpam-2349	57	30	/	/	SYM
ejpam-2349	57	31	u5	u5	ADJ
ejpam-2349	57	32	}	}	PUNCT
ejpam-2349	57	33	x3→{1	x3→{1	PROPN
ejpam-2349	57	34	/	/	SYM
ejpam-2349	57	35	u3	u3	NOUN
ejpam-2349	57	36	}	}	PUNCT
ejpam-2349	57	37	if	if	SCONJ
ejpam-2349	57	38	a=	a=	VERB
ejpam-2349	57	39	{	{	PUNCT
ejpam-2349	57	40	x1	x1	PROPN
ejpam-2349	57	41	}	}	PUNCT
ejpam-2349	57	42	,	,	PUNCT
ejpam-2349	57	43	b	b	X
ejpam-2349	57	44	=	=	PRON
ejpam-2349	57	45	{	{	PUNCT
ejpam-2349	57	46	x1	x1	PROPN
ejpam-2349	57	47	,	,	PUNCT
ejpam-2349	57	48	x2	x2	PROPN
ejpam-2349	57	49	}	}	PUNCT
ejpam-2349	57	50	,	,	PUNCT
ejpam-2349	57	51	then	then	ADV
ejpam-2349	57	52	γp	γp	VERB
ejpam-2349	57	53	a	a	DET
ejpam-2349	57	54	�	�	PROPN
ejpam-2349	57	55	x1	x1	PROPN
ejpam-2349	57	56	�	�	PROPN
ejpam-2349	57	57	=	=	PRON
ejpam-2349	57	58	{	{	PUNCT
ejpam-2349	57	59	0.4	0.4	NUM
ejpam-2349	57	60	/	/	SYM
ejpam-2349	57	61	u1	u1	NOUN
ejpam-2349	57	62	,	,	PUNCT
ejpam-2349	57	63	0.2	0.2	NUM
ejpam-2349	57	64	/	/	SYM
ejpam-2349	57	65	u2	u2	PROPN
ejpam-2349	57	66	}	}	PUNCT
ejpam-2349	57	67	γp	γp	PROPN
ejpam-2349	57	68	b	b	PROPN
ejpam-2349	57	69	�	�	PROPN
ejpam-2349	57	70	x1	x1	PROPN
ejpam-2349	57	71	�	�	PROPN
ejpam-2349	58	1	=	=	PRON
ejpam-2349	58	2	{	{	PUNCT
ejpam-2349	58	3	0.4	0.4	NUM
ejpam-2349	58	4	/	/	SYM
ejpam-2349	58	5	u1	u1	NOUN
ejpam-2349	58	6	,	,	PUNCT
ejpam-2349	58	7	0.2	0.2	NUM
ejpam-2349	58	8	/	/	SYM
ejpam-2349	58	9	u2	u2	NOUN
ejpam-2349	58	10	,	,	PUNCT
ejpam-2349	58	11	0.4	0.4	NUM
ejpam-2349	58	12	/	/	SYM
ejpam-2349	58	13	u5	u5	PROPN
ejpam-2349	58	14	}	}	PUNCT
ejpam-2349	58	15	ç	ç	NOUN
ejpam-2349	58	16	.	.	PUNCT
ejpam-2349	58	17	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	58	18	)	)	PUNCT
ejpam-2349	58	19	,	,	PUNCT
ejpam-2349	58	20	h.	h.	PROPN
ejpam-2349	58	21	poşul	poşul	PROPN
ejpam-2349	58	22	/	/	PUNCT
ejpam-2349	58	23	eur	eur	PROPN
ejpam-2349	58	24	.	.	PUNCT
ejpam-2349	59	1	j.	j.	PROPN
ejpam-2349	59	2	pure	pure	PROPN
ejpam-2349	59	3	appl	appl	PROPN
ejpam-2349	59	4	.	.	PROPN
ejpam-2349	59	5	math	math	PROPN
ejpam-2349	59	6	,	,	PUNCT
ejpam-2349	59	7	9	9	NUM
ejpam-2349	59	8	(	(	PUNCT
ejpam-2349	59	9	2016	2016	NUM
ejpam-2349	59	10	)	)	PUNCT
ejpam-2349	59	11	,	,	PUNCT
ejpam-2349	59	12	333	333	NUM
ejpam-2349	59	13	-	-	SYM
ejpam-2349	59	14	339	339	NUM
ejpam-2349	59	15	336	336	NUM
ejpam-2349	59	16	γp	γp	PROPN
ejpam-2349	59	17	b	b	PROPN
ejpam-2349	59	18	�	�	PROPN
ejpam-2349	59	19	x2	x2	PROPN
ejpam-2349	59	20	�	�	PROPN
ejpam-2349	60	1	=	=	PRON
ejpam-2349	60	2	{	{	PUNCT
ejpam-2349	60	3	0.2	0.2	NUM
ejpam-2349	60	4	/	/	SYM
ejpam-2349	60	5	u1	u1	NOUN
ejpam-2349	60	6	,	,	PUNCT
ejpam-2349	60	7	0.4	0.4	NUM
ejpam-2349	60	8	/	/	SYM
ejpam-2349	60	9	u2	u2	NOUN
ejpam-2349	60	10	,	,	PUNCT
ejpam-2349	60	11	0.1	0.1	NUM
ejpam-2349	60	12	/	/	SYM
ejpam-2349	60	13	u3	u3	NOUN
ejpam-2349	60	14	}	}	PUNCT
ejpam-2349	60	15	.	.	PUNCT
ejpam-2349	61	1	hence	hence	ADV
ejpam-2349	61	2	γp	γp	VERB
ejpam-2349	61	3	a	a	DET
ejpam-2349	61	4	=	=	NOUN
ejpam-2349	61	5	{	{	PUNCT
ejpam-2349	61	6	�	�	PROPN
ejpam-2349	61	7	x1	x1	PROPN
ejpam-2349	61	8	,	,	PUNCT
ejpam-2349	61	9	{	{	PUNCT
ejpam-2349	61	10	0.4	0.4	NUM
ejpam-2349	61	11	/	/	SYM
ejpam-2349	61	12	u1	u1	NOUN
ejpam-2349	61	13	,	,	PUNCT
ejpam-2349	61	14	0.2	0.2	NUM
ejpam-2349	61	15	/	/	SYM
ejpam-2349	61	16	u2	u2	PROPN
ejpam-2349	61	17	}	}	PUNCT
ejpam-2349	61	18	�	�	PROPN
ejpam-2349	61	19	}	}	PUNCT
ejpam-2349	61	20	γp	γp	PROPN
ejpam-2349	61	21	b	b	SYM
ejpam-2349	61	22	=	=	NOUN
ejpam-2349	61	23	{	{	PUNCT
ejpam-2349	61	24	�	�	PROPN
ejpam-2349	61	25	x1	x1	PROPN
ejpam-2349	61	26	,	,	PUNCT
ejpam-2349	61	27	{	{	PUNCT
ejpam-2349	61	28	0.4	0.4	NUM
ejpam-2349	61	29	/	/	SYM
ejpam-2349	61	30	u1	u1	NOUN
ejpam-2349	61	31	,	,	PUNCT
ejpam-2349	61	32	0.2	0.2	NUM
ejpam-2349	61	33	/	/	SYM
ejpam-2349	61	34	u2	u2	NOUN
ejpam-2349	61	35	,	,	PUNCT
ejpam-2349	61	36	0.4	0.4	NUM
ejpam-2349	61	37	/	/	SYM
ejpam-2349	61	38	u5	u5	PROPN
ejpam-2349	61	39	}	}	PUNCT
ejpam-2349	61	40	�	�	PROPN
ejpam-2349	61	41	,	,	PUNCT
ejpam-2349	61	42	�	�	PROPN
ejpam-2349	61	43	x2	x2	PROPN
ejpam-2349	61	44	,	,	PUNCT
ejpam-2349	61	45	{	{	PUNCT
ejpam-2349	61	46	0.2	0.2	NUM
ejpam-2349	61	47	/	/	SYM
ejpam-2349	61	48	u1	u1	NOUN
ejpam-2349	61	49	,	,	PUNCT
ejpam-2349	61	50	0.4	0.4	NUM
ejpam-2349	61	51	/	/	SYM
ejpam-2349	61	52	u2	u2	NOUN
ejpam-2349	61	53	,	,	PUNCT
ejpam-2349	61	54	0.1	0.1	NUM
ejpam-2349	61	55	/	/	SYM
ejpam-2349	61	56	u3	u3	PROPN
ejpam-2349	61	57	}	}	PUNCT
ejpam-2349	61	58	�	�	PROPN
ejpam-2349	61	59	}	}	PUNCT
ejpam-2349	61	60	then	then	ADV
ejpam-2349	61	61	for	for	ADP
ejpam-2349	61	62	all	all	DET
ejpam-2349	61	63	x	x	SYM
ejpam-2349	61	64	∈	∈	PROPN
ejpam-2349	61	65	e	e	NOUN
ejpam-2349	61	66	,	,	PUNCT
ejpam-2349	61	67	γp	γp	PROPN
ejpam-2349	61	68	a	a	DET
ejpam-2349	61	69	(	(	PUNCT
ejpam-2349	61	70	x	x	NOUN
ejpam-2349	61	71	)	)	PUNCT
ejpam-2349	61	72	⊆	⊆	NUM
ejpam-2349	61	73	γ	γ	X
ejpam-2349	61	74	p	p	PROPN
ejpam-2349	61	75	b	b	PROPN
ejpam-2349	61	76	(	(	PUNCT
ejpam-2349	61	77	x	x	NOUN
ejpam-2349	61	78	)	)	PUNCT
ejpam-2349	61	79	,	,	PUNCT
ejpam-2349	61	80	hence	hence	ADV
ejpam-2349	61	81	γp	γp	VERB
ejpam-2349	61	82	a	a	DET
ejpam-2349	61	83	e⊆γp	e⊆γp	PROPN
ejpam-2349	61	84	b	b	PROPN
ejpam-2349	61	85	.	.	PUNCT
ejpam-2349	62	1	but	but	CCONJ
ejpam-2349	62	2	it	it	PRON
ejpam-2349	62	3	is	be	AUX
ejpam-2349	62	4	clear	clear	ADJ
ejpam-2349	62	5	that	that	SCONJ
ejpam-2349	62	6	�	�	PROPN
ejpam-2349	62	7	x1	x1	PROPN
ejpam-2349	62	8	,	,	PUNCT
ejpam-2349	62	9	{	{	PUNCT
ejpam-2349	62	10	0.4	0.4	NUM
ejpam-2349	62	11	/	/	SYM
ejpam-2349	62	12	u1	u1	NOUN
ejpam-2349	62	13	,	,	PUNCT
ejpam-2349	62	14	0.2	0.2	NUM
ejpam-2349	62	15	/	/	SYM
ejpam-2349	62	16	u2	u2	PROPN
ejpam-2349	62	17	}	}	PUNCT
ejpam-2349	62	18	�	�	PROPN
ejpam-2349	62	19	∈	∈	PROPN
ejpam-2349	62	20	γp	γp	NOUN
ejpam-2349	62	21	a	a	PRON
ejpam-2349	62	22	,	,	PUNCT
ejpam-2349	62	23	but	but	CCONJ
ejpam-2349	62	24	�	�	PROPN
ejpam-2349	62	25	x1	x1	PROPN
ejpam-2349	62	26	,	,	PUNCT
ejpam-2349	62	27	{	{	PUNCT
ejpam-2349	62	28	0.4	0.4	NUM
ejpam-2349	62	29	/	/	SYM
ejpam-2349	62	30	u1	u1	NOUN
ejpam-2349	62	31	,	,	PUNCT
ejpam-2349	62	32	0.2	0.2	NUM
ejpam-2349	62	33	/	/	SYM
ejpam-2349	62	34	u2	u2	PROPN
ejpam-2349	62	35	}	}	PUNCT
ejpam-2349	62	36	�	�	PROPN
ejpam-2349	62	37	/∈	/∈	PUNCT
ejpam-2349	63	1	γp	γp	PROPN
ejpam-2349	63	2	b	b	PROPN
ejpam-2349	63	3	.	.	PUNCT
ejpam-2349	64	1	proposition	proposition	NOUN
ejpam-2349	64	2	1	1	NUM
ejpam-2349	64	3	.	.	PUNCT
ejpam-2349	65	1	let	let	VERB
ejpam-2349	65	2	γp	γp	PRON
ejpam-2349	65	3	a	a	DET
ejpam-2349	65	4	,	,	PUNCT
ejpam-2349	65	5	γp	γp	PROPN
ejpam-2349	65	6	b	b	PROPN
ejpam-2349	65	7	∈	∈	PROPN
ejpam-2349	65	8	pr	pr	NOUN
ejpam-2349	65	9	s	s	X
ejpam-2349	65	10	(	(	PUNCT
ejpam-2349	65	11	u	u	NOUN
ejpam-2349	65	12	)	)	PUNCT
ejpam-2349	65	13	.	.	PUNCT
ejpam-2349	66	1	then	then	ADV
ejpam-2349	66	2	(	(	PUNCT
ejpam-2349	66	3	i	i	NOUN
ejpam-2349	66	4	)	)	PUNCT
ejpam-2349	66	5	γp	γp	ADP
ejpam-2349	66	6	a	a	DET
ejpam-2349	66	7	e⊆γp	e⊆γp	PROPN
ejpam-2349	66	8	a	a	DET
ejpam-2349	66	9	(	(	PUNCT
ejpam-2349	66	10	ii	ii	NOUN
ejpam-2349	66	11	)	)	PUNCT
ejpam-2349	66	12	γp	γp	ADP
ejpam-2349	66	13	a	a	DET
ejpam-2349	66	14	e⊆γp	e⊆γp	PROPN
ejpam-2349	66	15	b	b	PROPN
ejpam-2349	66	16	and	and	CCONJ
ejpam-2349	66	17	γp	γp	PROPN
ejpam-2349	66	18	b	b	PROPN
ejpam-2349	66	19	e⊆γp	e⊆γp	PROPN
ejpam-2349	66	20	c	c	PROPN
ejpam-2349	66	21	⇒	⇒	VERB
ejpam-2349	66	22	γ	γ	PROPN
ejpam-2349	66	23	p	p	PROPN
ejpam-2349	66	24	a	a	DET
ejpam-2349	66	25	e⊆γp	e⊆γp	PROPN
ejpam-2349	66	26	c	c	NOUN
ejpam-2349	66	27	.	.	PUNCT
ejpam-2349	67	1	proof	proof	NOUN
ejpam-2349	67	2	.	.	PUNCT
ejpam-2349	68	1	they	they	PRON
ejpam-2349	68	2	can	can	AUX
ejpam-2349	68	3	be	be	AUX
ejpam-2349	68	4	proved	prove	VERB
ejpam-2349	68	5	easily	easily	ADV
ejpam-2349	68	6	by	by	ADP
ejpam-2349	68	7	using	use	VERB
ejpam-2349	68	8	the	the	DET
ejpam-2349	68	9	probabilistic	probabilistic	ADJ
ejpam-2349	68	10	approximate	approximate	ADJ
ejpam-2349	68	11	function	function	NOUN
ejpam-2349	68	12	of	of	ADP
ejpam-2349	68	13	prsset	prsset	NOUN
ejpam-2349	68	14	.	.	PUNCT
ejpam-2349	69	1	definition	definition	NOUN
ejpam-2349	69	2	6	6	NUM
ejpam-2349	69	3	.	.	PUNCT
ejpam-2349	70	1	let	let	VERB
ejpam-2349	70	2	γp	γp	PRON
ejpam-2349	70	3	a	a	DET
ejpam-2349	70	4	,	,	PUNCT
ejpam-2349	70	5	γp	γp	PROPN
ejpam-2349	70	6	b	b	PROPN
ejpam-2349	70	7	∈	∈	PROPN
ejpam-2349	70	8	pr	pr	NOUN
ejpam-2349	70	9	s	s	X
ejpam-2349	70	10	(	(	PUNCT
ejpam-2349	70	11	u	u	NOUN
ejpam-2349	70	12	)	)	PUNCT
ejpam-2349	70	13	.	.	PUNCT
ejpam-2349	71	1	then	then	ADV
ejpam-2349	71	2	γp	γp	VERB
ejpam-2349	71	3	a	a	PRON
ejpam-2349	71	4	and	and	CCONJ
ejpam-2349	71	5	γp	γp	PROPN
ejpam-2349	71	6	b	b	PROPN
ejpam-2349	71	7	are	be	AUX
ejpam-2349	71	8	prs	prs	ADJ
ejpam-2349	71	9	-	-	ADJ
ejpam-2349	71	10	equal	equal	ADJ
ejpam-2349	71	11	set	set	NOUN
ejpam-2349	71	12	written	write	VERB
ejpam-2349	71	13	as	as	ADP
ejpam-2349	71	14	γp	γp	PROPN
ejpam-2349	71	15	a	a	DET
ejpam-2349	71	16	=	=	X
ejpam-2349	71	17	γ	γ	X
ejpam-2349	71	18	p	p	PROPN
ejpam-2349	71	19	b	b	PROPN
ejpam-2349	71	20	,	,	PUNCT
ejpam-2349	71	21	if	if	SCONJ
ejpam-2349	71	22	γp	γp	PROPN
ejpam-2349	71	23	a	a	PRON
ejpam-2349	71	24	is	be	AUX
ejpam-2349	71	25	a	a	DET
ejpam-2349	71	26	prs	prs	NOUN
ejpam-2349	71	27	-	-	PUNCT
ejpam-2349	71	28	subset	subset	NOUN
ejpam-2349	71	29	of	of	ADP
ejpam-2349	71	30	γp	γp	PROPN
ejpam-2349	71	31	b	b	PROPN
ejpam-2349	71	32	and	and	CCONJ
ejpam-2349	71	33	γp	γp	PROPN
ejpam-2349	71	34	b	b	PROPN
ejpam-2349	71	35	is	be	AUX
ejpam-2349	71	36	a	a	DET
ejpam-2349	71	37	prs	prs	NOUN
ejpam-2349	71	38	-	-	PUNCT
ejpam-2349	71	39	subset	subset	NOUN
ejpam-2349	71	40	of	of	ADP
ejpam-2349	71	41	γp	γp	PROPN
ejpam-2349	71	42	a	a	PRON
ejpam-2349	71	43	.	.	PUNCT
ejpam-2349	72	1	proposition	proposition	NOUN
ejpam-2349	72	2	2	2	NUM
ejpam-2349	72	3	.	.	PUNCT
ejpam-2349	73	1	let	let	VERB
ejpam-2349	73	2	γp	γp	PRON
ejpam-2349	73	3	a	a	DET
ejpam-2349	73	4	,	,	PUNCT
ejpam-2349	73	5	γp	γp	PROPN
ejpam-2349	73	6	b	b	PROPN
ejpam-2349	73	7	,	,	PUNCT
ejpam-2349	73	8	γp	γp	PROPN
ejpam-2349	73	9	c	c	PROPN
ejpam-2349	73	10	∈	∈	PROPN
ejpam-2349	73	11	pr	pr	NOUN
ejpam-2349	73	12	s	s	NOUN
ejpam-2349	73	13	(	(	PUNCT
ejpam-2349	73	14	u	u	NOUN
ejpam-2349	73	15	)	)	PUNCT
ejpam-2349	73	16	.	.	PUNCT
ejpam-2349	74	1	then	then	ADV
ejpam-2349	74	2	(	(	PUNCT
ejpam-2349	74	3	i	i	NOUN
ejpam-2349	74	4	)	)	PUNCT
ejpam-2349	74	5	γp	γp	VERB
ejpam-2349	74	6	a	a	DET
ejpam-2349	74	7	=	=	X
ejpam-2349	74	8	γ	γ	X
ejpam-2349	74	9	p	p	PROPN
ejpam-2349	74	10	b	b	PROPN
ejpam-2349	74	11	and	and	CCONJ
ejpam-2349	74	12	γp	γp	PROPN
ejpam-2349	74	13	b	b	X
ejpam-2349	74	14	=	=	SYM
ejpam-2349	74	15	γ	γ	X
ejpam-2349	74	16	p	p	NOUN
ejpam-2349	74	17	c	c	PROPN
ejpam-2349	74	18	⇒	⇒	VERB
ejpam-2349	74	19	γ	γ	PROPN
ejpam-2349	74	20	p	p	PROPN
ejpam-2349	74	21	a	a	PRON
ejpam-2349	74	22	=	=	X
ejpam-2349	74	23	γ	γ	X
ejpam-2349	74	24	p	p	X
ejpam-2349	74	25	c	c	PROPN
ejpam-2349	74	26	(	(	PUNCT
ejpam-2349	74	27	ii	ii	NOUN
ejpam-2349	74	28	)	)	PUNCT
ejpam-2349	74	29	γp	γp	ADP
ejpam-2349	74	30	a	a	DET
ejpam-2349	74	31	e⊆γp	e⊆γp	PROPN
ejpam-2349	74	32	b	b	PROPN
ejpam-2349	74	33	and	and	CCONJ
ejpam-2349	74	34	γp	γp	PROPN
ejpam-2349	74	35	b	b	NOUN
ejpam-2349	74	36	e⊆γp	e⊆γp	ADJ
ejpam-2349	74	37	a⇔	a⇔	NOUN
ejpam-2349	74	38	γp	γp	ADP
ejpam-2349	74	39	a	a	DET
ejpam-2349	74	40	=	=	SYM
ejpam-2349	74	41	γ	γ	X
ejpam-2349	74	42	p	p	PROPN
ejpam-2349	74	43	b	b	PROPN
ejpam-2349	74	44	.	.	PUNCT
ejpam-2349	75	1	proof	proof	NOUN
ejpam-2349	75	2	.	.	PUNCT
ejpam-2349	76	1	the	the	DET
ejpam-2349	76	2	proofs	proof	NOUN
ejpam-2349	76	3	are	be	AUX
ejpam-2349	76	4	straightforward	straightforward	ADJ
ejpam-2349	76	5	.	.	PUNCT
ejpam-2349	77	1	definition	definition	NOUN
ejpam-2349	77	2	7	7	NUM
ejpam-2349	77	3	.	.	PUNCT
ejpam-2349	78	1	let	let	VERB
ejpam-2349	78	2	γp	γp	PRON
ejpam-2349	78	3	a	a	DET
ejpam-2349	78	4	,	,	PUNCT
ejpam-2349	78	5	γp	γp	PROPN
ejpam-2349	78	6	b	b	PROPN
ejpam-2349	78	7	∈	∈	PROPN
ejpam-2349	78	8	pr	pr	NOUN
ejpam-2349	78	9	s	s	X
ejpam-2349	78	10	(	(	PUNCT
ejpam-2349	78	11	u	u	NOUN
ejpam-2349	78	12	)	)	PUNCT
ejpam-2349	78	13	.	.	PUNCT
ejpam-2349	79	1	then	then	ADV
ejpam-2349	79	2	the	the	DET
ejpam-2349	79	3	difference	difference	NOUN
ejpam-2349	79	4	of	of	ADP
ejpam-2349	79	5	γp	γp	PROPN
ejpam-2349	79	6	a	a	PRON
ejpam-2349	79	7	and	and	CCONJ
ejpam-2349	79	8	γp	γp	PROPN
ejpam-2349	79	9	b	b	PROPN
ejpam-2349	79	10	,	,	PUNCT
ejpam-2349	79	11	denoted	denote	VERB
ejpam-2349	79	12	by	by	ADP
ejpam-2349	79	13	γp	γp	PROPN
ejpam-2349	79	14	a	a	DET
ejpam-2349	79	15	e\γp	e\γp	PROPN
ejpam-2349	79	16	b	b	PROPN
ejpam-2349	79	17	,	,	PUNCT
ejpam-2349	79	18	is	be	AUX
ejpam-2349	79	19	defined	define	VERB
ejpam-2349	79	20	by	by	ADP
ejpam-2349	79	21	its	its	PRON
ejpam-2349	79	22	probabilistic	probabilistic	ADJ
ejpam-2349	79	23	approximate	approximate	ADJ
ejpam-2349	79	24	functions	function	NOUN
ejpam-2349	79	25	:	:	PUNCT
ejpam-2349	79	26	γp	γp	PROPN
ejpam-2349	79	27	a\b	a\b	ADV
ejpam-2349	79	28	(	(	PUNCT
ejpam-2349	79	29	x	x	X
ejpam-2349	79	30	)	)	PUNCT
ejpam-2349	79	31	=	=	SYM
ejpam-2349	80	1	γ	γ	X
ejpam-2349	80	2	p	p	NOUN
ejpam-2349	80	3	a	a	DET
ejpam-2349	80	4	(	(	PUNCT
ejpam-2349	80	5	x	x	NOUN
ejpam-2349	80	6	)	)	PUNCT
ejpam-2349	80	7	\	\	PROPN
ejpam-2349	81	1	γ	γ	PROPN
ejpam-2349	81	2	p	p	PROPN
ejpam-2349	81	3	b	b	PROPN
ejpam-2349	81	4	(	(	PUNCT
ejpam-2349	81	5	x	x	NOUN
ejpam-2349	81	6	)	)	PUNCT
ejpam-2349	81	7	,	,	PUNCT
ejpam-2349	81	8	for	for	ADP
ejpam-2349	81	9	allx	allx	PROPN
ejpam-2349	81	10	∈	∈	PROPN
ejpam-2349	81	11	e.	e.	PROPN
ejpam-2349	81	12	definition	definition	NOUN
ejpam-2349	81	13	8	8	NUM
ejpam-2349	81	14	.	.	PUNCT
ejpam-2349	82	1	let	let	VERB
ejpam-2349	82	2	γp	γp	PRON
ejpam-2349	82	3	a	a	DET
ejpam-2349	82	4	,	,	PUNCT
ejpam-2349	82	5	γp	γp	PROPN
ejpam-2349	82	6	b	b	PROPN
ejpam-2349	82	7	∈	∈	PROPN
ejpam-2349	82	8	pr	pr	NOUN
ejpam-2349	82	9	s	s	NOUN
ejpam-2349	82	10	(	(	PUNCT
ejpam-2349	82	11	u	u	NOUN
ejpam-2349	82	12	)	)	PUNCT
ejpam-2349	82	13	and	and	CCONJ
ejpam-2349	82	14	γp	γp	X
ejpam-2349	82	15	a	a	DET
ejpam-2349	82	16	e⊆γp	e⊆γp	PROPN
ejpam-2349	82	17	b	b	PROPN
ejpam-2349	82	18	.	.	PUNCT
ejpam-2349	83	1	then	then	ADV
ejpam-2349	83	2	the	the	DET
ejpam-2349	83	3	complement	complement	NOUN
ejpam-2349	83	4	of	of	ADP
ejpam-2349	83	5	γp	γp	NOUN
ejpam-2349	83	6	a	a	PRON
ejpam-2349	83	7	on	on	ADP
ejpam-2349	83	8	γp	γp	PROPN
ejpam-2349	83	9	b	b	PROPN
ejpam-2349	83	10	,	,	PUNCT
ejpam-2349	83	11	denoted	denote	VERB
ejpam-2349	83	12	by	by	ADP
ejpam-2349	83	13	�	�	PROPN
ejpam-2349	83	14	γp	γp	PROPN
ejpam-2349	83	15	a	a	DET
ejpam-2349	83	16	�	�	PROPN
ejpam-2349	83	17	c	c	PROPN
ejpam-2349	83	18	γp	γp	PROPN
ejpam-2349	83	19	b	b	PROPN
ejpam-2349	83	20	,	,	PUNCT
ejpam-2349	83	21	is	be	AUX
ejpam-2349	83	22	defined	define	VERB
ejpam-2349	83	23	by	by	ADP
ejpam-2349	83	24	�	�	PROPN
ejpam-2349	83	25	γp	γp	PROPN
ejpam-2349	83	26	a	a	DET
ejpam-2349	83	27	�	�	PROPN
ejpam-2349	83	28	c	c	PROPN
ejpam-2349	83	29	γp	γp	PROPN
ejpam-2349	83	30	b	b	PROPN
ejpam-2349	83	31	(	(	PUNCT
ejpam-2349	83	32	x	x	NOUN
ejpam-2349	83	33	)	)	PUNCT
ejpam-2349	83	34	=	=	SYM
ejpam-2349	83	35	γp	γp	PROPN
ejpam-2349	83	36	b	b	PROPN
ejpam-2349	83	37	(	(	PUNCT
ejpam-2349	83	38	x	x	NOUN
ejpam-2349	83	39	)	)	PUNCT
ejpam-2349	83	40	\	\	PROPN
ejpam-2349	84	1	γ	γ	PROPN
ejpam-2349	84	2	p	p	NOUN
ejpam-2349	84	3	a	a	DET
ejpam-2349	84	4	(	(	PUNCT
ejpam-2349	84	5	x	x	NOUN
ejpam-2349	84	6	)	)	PUNCT
ejpam-2349	84	7	,	,	PUNCT
ejpam-2349	84	8	for	for	ADP
ejpam-2349	84	9	all	all	DET
ejpam-2349	84	10	x	x	SYM
ejpam-2349	84	11	∈	∈	PROPN
ejpam-2349	84	12	e.	e.	PROPN
ejpam-2349	84	13	example	example	NOUN
ejpam-2349	84	14	6	6	NUM
ejpam-2349	84	15	.	.	PUNCT
ejpam-2349	85	1	let	let	VERB
ejpam-2349	85	2	us	we	PRON
ejpam-2349	85	3	consider	consider	VERB
ejpam-2349	85	4	example	example	NOUN
ejpam-2349	86	1	5	5	NUM
ejpam-2349	86	2	.	.	PUNCT
ejpam-2349	87	1	then	then	ADV
ejpam-2349	87	2	,	,	PUNCT
ejpam-2349	87	3	�	�	PROPN
ejpam-2349	87	4	γp	γp	VERB
ejpam-2349	87	5	a	a	DET
ejpam-2349	87	6	�	�	PROPN
ejpam-2349	87	7	c	c	PROPN
ejpam-2349	87	8	γp	γp	PROPN
ejpam-2349	87	9	b	b	PROPN
ejpam-2349	87	10	=	=	PRON
ejpam-2349	87	11	{	{	PUNCT
ejpam-2349	87	12	�	�	PROPN
ejpam-2349	87	13	x1	x1	PROPN
ejpam-2349	87	14	,	,	PUNCT
ejpam-2349	87	15	{	{	PUNCT
ejpam-2349	87	16	0.4	0.4	NUM
ejpam-2349	87	17	/	/	SYM
ejpam-2349	87	18	u5	u5	PROPN
ejpam-2349	87	19	}	}	PUNCT
ejpam-2349	87	20	�	�	PROPN
ejpam-2349	87	21	,	,	PUNCT
ejpam-2349	87	22	�	�	PROPN
ejpam-2349	87	23	x2	x2	PROPN
ejpam-2349	87	24	,	,	PUNCT
ejpam-2349	87	25	{	{	PUNCT
ejpam-2349	87	26	0.2	0.2	NUM
ejpam-2349	87	27	/	/	SYM
ejpam-2349	87	28	u1	u1	NOUN
ejpam-2349	87	29	,	,	PUNCT
ejpam-2349	87	30	0.4	0.4	NUM
ejpam-2349	87	31	/	/	SYM
ejpam-2349	87	32	u2	u2	NOUN
ejpam-2349	87	33	,	,	PUNCT
ejpam-2349	87	34	0.1	0.1	NUM
ejpam-2349	87	35	/	/	SYM
ejpam-2349	87	36	u3	u3	X
ejpam-2349	87	37	�	�	PROPN
ejpam-2349	87	38	}	}	PUNCT
ejpam-2349	87	39	.	.	PUNCT
ejpam-2349	88	1	definition	definition	NOUN
ejpam-2349	88	2	9	9	NUM
ejpam-2349	88	3	.	.	PUNCT
ejpam-2349	89	1	let	let	VERB
ejpam-2349	89	2	γp	γp	PRON
ejpam-2349	89	3	a	a	DET
ejpam-2349	89	4	,	,	PUNCT
ejpam-2349	89	5	γp	γp	PROPN
ejpam-2349	89	6	b	b	PROPN
ejpam-2349	89	7	∈	∈	PROPN
ejpam-2349	89	8	pr	pr	NOUN
ejpam-2349	89	9	s	s	X
ejpam-2349	89	10	(	(	PUNCT
ejpam-2349	89	11	u	u	NOUN
ejpam-2349	89	12	)	)	PUNCT
ejpam-2349	89	13	.	.	PUNCT
ejpam-2349	90	1	then	then	ADV
ejpam-2349	90	2	the	the	DET
ejpam-2349	90	3	union	union	NOUN
ejpam-2349	90	4	of	of	ADP
ejpam-2349	90	5	γp	γp	PROPN
ejpam-2349	90	6	a	a	PRON
ejpam-2349	90	7	and	and	CCONJ
ejpam-2349	90	8	γp	γp	PROPN
ejpam-2349	90	9	b	b	PROPN
ejpam-2349	90	10	,	,	PUNCT
ejpam-2349	90	11	denoted	denote	VERB
ejpam-2349	90	12	by	by	ADP
ejpam-2349	90	13	γp	γp	PROPN
ejpam-2349	90	14	a	a	DET
ejpam-2349	90	15	e∪γp	e∪γp	PROPN
ejpam-2349	90	16	b	b	PROPN
ejpam-2349	90	17	,	,	PUNCT
ejpam-2349	90	18	is	be	AUX
ejpam-2349	90	19	defined	define	VERB
ejpam-2349	90	20	by	by	ADP
ejpam-2349	90	21	its	its	PRON
ejpam-2349	90	22	probabilistic	probabilistic	ADJ
ejpam-2349	90	23	approximate	approximate	ADJ
ejpam-2349	90	24	functions	function	NOUN
ejpam-2349	90	25	:	:	PUNCT
ejpam-2349	90	26	γp	γp	X
ejpam-2349	90	27	a∪b	a∪b	NOUN
ejpam-2349	90	28	(	(	PUNCT
ejpam-2349	90	29	x	x	X
ejpam-2349	90	30	)	)	PUNCT
ejpam-2349	90	31	=	=	SYM
ejpam-2349	91	1	γ	γ	X
ejpam-2349	91	2	p	p	NOUN
ejpam-2349	91	3	a	a	PRON
ejpam-2349	91	4	(	(	PUNCT
ejpam-2349	91	5	x)∪	x)∪	PROPN
ejpam-2349	91	6	γ	γ	PROPN
ejpam-2349	91	7	p	p	PROPN
ejpam-2349	91	8	b	b	PROPN
ejpam-2349	91	9	(	(	PUNCT
ejpam-2349	91	10	x	x	NOUN
ejpam-2349	91	11	)	)	PUNCT
ejpam-2349	91	12	,	,	PUNCT
ejpam-2349	91	13	for	for	ADP
ejpam-2349	91	14	all	all	DET
ejpam-2349	91	15	x	x	SYM
ejpam-2349	91	16	∈	∈	PROPN
ejpam-2349	91	17	e.	e.	PROPN
ejpam-2349	91	18	ç	ç	PROPN
ejpam-2349	91	19	.	.	PUNCT
ejpam-2349	91	20	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	91	21	)	)	PUNCT
ejpam-2349	91	22	,	,	PUNCT
ejpam-2349	91	23	h.	h.	PROPN
ejpam-2349	91	24	poşul	poşul	PROPN
ejpam-2349	91	25	/	/	PUNCT
ejpam-2349	91	26	eur	eur	PROPN
ejpam-2349	91	27	.	.	PUNCT
ejpam-2349	92	1	j.	j.	PROPN
ejpam-2349	92	2	pure	pure	PROPN
ejpam-2349	92	3	appl	appl	PROPN
ejpam-2349	92	4	.	.	PROPN
ejpam-2349	92	5	math	math	PROPN
ejpam-2349	92	6	,	,	PUNCT
ejpam-2349	92	7	9	9	NUM
ejpam-2349	92	8	(	(	PUNCT
ejpam-2349	92	9	2016	2016	NUM
ejpam-2349	92	10	)	)	PUNCT
ejpam-2349	92	11	,	,	PUNCT
ejpam-2349	92	12	333	333	NUM
ejpam-2349	92	13	-	-	SYM
ejpam-2349	92	14	339	339	NUM
ejpam-2349	92	15	337	337	NUM
ejpam-2349	92	16	example	example	NOUN
ejpam-2349	92	17	7	7	NUM
ejpam-2349	92	18	.	.	X
ejpam-2349	92	19	assume	assume	VERB
ejpam-2349	92	20	that	that	SCONJ
ejpam-2349	92	21	u	u	PRON
ejpam-2349	92	22	=	=	NOUN
ejpam-2349	92	23	{	{	PUNCT
ejpam-2349	92	24	u1,u2,u3,u4,u5	u1,u2,u3,u4,u5	PROPN
ejpam-2349	92	25	}	}	PUNCT
ejpam-2349	92	26	is	be	AUX
ejpam-2349	92	27	a	a	DET
ejpam-2349	92	28	universal	universal	ADJ
ejpam-2349	92	29	set	set	NOUN
ejpam-2349	92	30	and	and	CCONJ
ejpam-2349	92	31	e	e	NOUN
ejpam-2349	92	32	=	=	PUNCT
ejpam-2349	92	33	{	{	PUNCT
ejpam-2349	92	34	x1	x1	PROPN
ejpam-2349	92	35	,	,	PUNCT
ejpam-2349	92	36	x2	x2	PROPN
ejpam-2349	92	37	,	,	PUNCT
ejpam-2349	92	38	x3	x3	PROPN
ejpam-2349	92	39	,	,	PUNCT
ejpam-2349	92	40	x4	x4	PROPN
ejpam-2349	92	41	}	}	PUNCT
ejpam-2349	92	42	is	be	AUX
ejpam-2349	92	43	a	a	DET
ejpam-2349	92	44	set	set	NOUN
ejpam-2349	92	45	of	of	ADP
ejpam-2349	92	46	all	all	DET
ejpam-2349	92	47	parameters	parameter	NOUN
ejpam-2349	92	48	.	.	PUNCT
ejpam-2349	93	1	x1→{0.4	x1→{0.4	PROPN
ejpam-2349	93	2	/	/	SYM
ejpam-2349	93	3	u1	u1	NOUN
ejpam-2349	93	4	,	,	PUNCT
ejpam-2349	93	5	0.2	0.2	NUM
ejpam-2349	93	6	/	/	SYM
ejpam-2349	93	7	u2	u2	NOUN
ejpam-2349	93	8	,	,	PUNCT
ejpam-2349	93	9	0.4	0.4	NUM
ejpam-2349	93	10	/	/	SYM
ejpam-2349	93	11	u5	u5	ADJ
ejpam-2349	93	12	}	}	PUNCT
ejpam-2349	93	13	x2→{0.2	x2→{0.2	PROPN
ejpam-2349	93	14	/	/	SYM
ejpam-2349	93	15	u1	u1	NOUN
ejpam-2349	93	16	,	,	PUNCT
ejpam-2349	93	17	0.4	0.4	NUM
ejpam-2349	93	18	/	/	SYM
ejpam-2349	93	19	u2	u2	NOUN
ejpam-2349	93	20	,	,	PUNCT
ejpam-2349	93	21	0.1	0.1	NUM
ejpam-2349	93	22	/	/	SYM
ejpam-2349	93	23	u3	u3	NOUN
ejpam-2349	93	24	,	,	PUNCT
ejpam-2349	93	25	0.1	0.1	NUM
ejpam-2349	93	26	/	/	SYM
ejpam-2349	93	27	u4	u4	PROPN
ejpam-2349	93	28	,	,	PUNCT
ejpam-2349	93	29	0.2	0.2	NUM
ejpam-2349	93	30	/	/	SYM
ejpam-2349	93	31	u5	u5	ADJ
ejpam-2349	93	32	}	}	PUNCT
ejpam-2349	93	33	x3→{1	x3→{1	PROPN
ejpam-2349	93	34	/	/	SYM
ejpam-2349	93	35	u3	u3	NOUN
ejpam-2349	93	36	}	}	PUNCT
ejpam-2349	93	37	x4→{0.2	x4→{0.2	PRON
ejpam-2349	93	38	/	/	SYM
ejpam-2349	93	39	u1	u1	NOUN
ejpam-2349	93	40	,	,	PUNCT
ejpam-2349	93	41	0.1	0.1	NUM
ejpam-2349	93	42	/	/	SYM
ejpam-2349	93	43	u2	u2	NOUN
ejpam-2349	93	44	,	,	PUNCT
ejpam-2349	93	45	0.3	0.3	NUM
ejpam-2349	93	46	/	/	SYM
ejpam-2349	93	47	u3	u3	NOUN
ejpam-2349	93	48	,	,	PUNCT
ejpam-2349	93	49	0.2	0.2	NUM
ejpam-2349	93	50	/	/	SYM
ejpam-2349	93	51	u4	u4	PROPN
ejpam-2349	93	52	,	,	PUNCT
ejpam-2349	93	53	0.2	0.2	NUM
ejpam-2349	93	54	/	/	SYM
ejpam-2349	93	55	u5	u5	PROPN
ejpam-2349	93	56	}	}	PUNCT
ejpam-2349	93	57	if	if	SCONJ
ejpam-2349	93	58	a=	a=	VERB
ejpam-2349	93	59	{	{	PUNCT
ejpam-2349	93	60	x1	x1	ADJ
ejpam-2349	93	61	,	,	PUNCT
ejpam-2349	93	62	x2	x2	PROPN
ejpam-2349	93	63	}	}	PUNCT
ejpam-2349	93	64	,	,	PUNCT
ejpam-2349	93	65	b	b	X
ejpam-2349	93	66	=	=	PRON
ejpam-2349	93	67	{	{	PUNCT
ejpam-2349	93	68	x1	x1	PROPN
ejpam-2349	93	69	,	,	PUNCT
ejpam-2349	93	70	x2	x2	PROPN
ejpam-2349	93	71	,	,	PUNCT
ejpam-2349	93	72	x4	x4	PROPN
ejpam-2349	93	73	}	}	PUNCT
ejpam-2349	93	74	,	,	PUNCT
ejpam-2349	93	75	then	then	ADV
ejpam-2349	93	76	γp	γp	VERB
ejpam-2349	93	77	a	a	DET
ejpam-2349	93	78	�	�	PROPN
ejpam-2349	93	79	x1	x1	PROPN
ejpam-2349	93	80	�	�	PROPN
ejpam-2349	94	1	=	=	PRON
ejpam-2349	94	2	{	{	PUNCT
ejpam-2349	94	3	0.2	0.2	NUM
ejpam-2349	94	4	/	/	SYM
ejpam-2349	94	5	u2	u2	NOUN
ejpam-2349	94	6	,	,	PUNCT
ejpam-2349	94	7	0.4	0.4	NUM
ejpam-2349	94	8	/	/	SYM
ejpam-2349	94	9	u5	u5	PROPN
ejpam-2349	94	10	}	}	PUNCT
ejpam-2349	94	11	γp	γp	ADP
ejpam-2349	94	12	a	a	DET
ejpam-2349	94	13	�	�	PROPN
ejpam-2349	94	14	x2	x2	PROPN
ejpam-2349	94	15	�	�	PROPN
ejpam-2349	95	1	=	=	PRON
ejpam-2349	95	2	{	{	PUNCT
ejpam-2349	95	3	0.2	0.2	NUM
ejpam-2349	95	4	/	/	SYM
ejpam-2349	95	5	u1	u1	NOUN
ejpam-2349	95	6	,	,	PUNCT
ejpam-2349	95	7	0.1	0.1	NUM
ejpam-2349	95	8	/	/	SYM
ejpam-2349	95	9	u4	u4	PROPN
ejpam-2349	95	10	}	}	PUNCT
ejpam-2349	95	11	γp	γp	PROPN
ejpam-2349	95	12	b	b	PROPN
ejpam-2349	95	13	�	�	PROPN
ejpam-2349	95	14	x1	x1	PROPN
ejpam-2349	95	15	�	�	PROPN
ejpam-2349	95	16	=	=	PRON
ejpam-2349	95	17	{	{	PUNCT
ejpam-2349	95	18	0.4	0.4	NUM
ejpam-2349	95	19	/	/	SYM
ejpam-2349	95	20	u1	u1	NOUN
ejpam-2349	95	21	,	,	PUNCT
ejpam-2349	95	22	0.2	0.2	NUM
ejpam-2349	95	23	/	/	SYM
ejpam-2349	95	24	u2	u2	NOUN
ejpam-2349	95	25	,	,	PUNCT
ejpam-2349	95	26	0.4	0.4	NUM
ejpam-2349	95	27	/	/	SYM
ejpam-2349	95	28	u5	u5	PROPN
ejpam-2349	95	29	}	}	PUNCT
ejpam-2349	95	30	γp	γp	PROPN
ejpam-2349	95	31	b	b	PROPN
ejpam-2349	95	32	�	�	PROPN
ejpam-2349	95	33	x2	x2	PROPN
ejpam-2349	95	34	�	�	PROPN
ejpam-2349	95	35	=	=	PRON
ejpam-2349	95	36	{	{	PUNCT
ejpam-2349	95	37	0.4	0.4	NUM
ejpam-2349	95	38	/	/	SYM
ejpam-2349	95	39	u2	u2	NOUN
ejpam-2349	95	40	,	,	PUNCT
ejpam-2349	95	41	0.1	0.1	NUM
ejpam-2349	95	42	/	/	SYM
ejpam-2349	95	43	u3	u3	PROPN
ejpam-2349	95	44	}	}	PUNCT
ejpam-2349	95	45	γp	γp	PROPN
ejpam-2349	95	46	b	b	PROPN
ejpam-2349	95	47	�	�	PROPN
ejpam-2349	95	48	x4	x4	PROPN
ejpam-2349	95	49	�	�	PROPN
ejpam-2349	95	50	=	=	PRON
ejpam-2349	95	51	{	{	PUNCT
ejpam-2349	95	52	0.2	0.2	NUM
ejpam-2349	95	53	/	/	SYM
ejpam-2349	95	54	u4	u4	PROPN
ejpam-2349	95	55	,	,	PUNCT
ejpam-2349	95	56	0.2	0.2	NUM
ejpam-2349	95	57	/	/	SYM
ejpam-2349	95	58	u5	u5	NOUN
ejpam-2349	95	59	}	}	PUNCT
ejpam-2349	95	60	hence	hence	ADV
ejpam-2349	95	61	γp	γp	VERB
ejpam-2349	95	62	a	a	DET
ejpam-2349	95	63	=	=	NOUN
ejpam-2349	95	64	{	{	PUNCT
ejpam-2349	95	65	�	�	PROPN
ejpam-2349	95	66	x1	x1	PROPN
ejpam-2349	95	67	,	,	PUNCT
ejpam-2349	95	68	{	{	PUNCT
ejpam-2349	95	69	0.2	0.2	NUM
ejpam-2349	95	70	/	/	SYM
ejpam-2349	95	71	u2	u2	NOUN
ejpam-2349	95	72	,	,	PUNCT
ejpam-2349	95	73	0.4	0.4	NUM
ejpam-2349	95	74	/	/	SYM
ejpam-2349	95	75	u5	u5	PROPN
ejpam-2349	95	76	}	}	PUNCT
ejpam-2349	95	77	�	�	PROPN
ejpam-2349	95	78	,	,	PUNCT
ejpam-2349	95	79	�	�	PROPN
ejpam-2349	95	80	x2	x2	PROPN
ejpam-2349	95	81	,	,	PUNCT
ejpam-2349	95	82	{	{	PUNCT
ejpam-2349	95	83	0.2	0.2	NUM
ejpam-2349	95	84	/	/	SYM
ejpam-2349	95	85	u1	u1	NOUN
ejpam-2349	95	86	,	,	PUNCT
ejpam-2349	95	87	0.1	0.1	NUM
ejpam-2349	95	88	/	/	SYM
ejpam-2349	95	89	u4	u4	PROPN
ejpam-2349	95	90	}	}	PUNCT
ejpam-2349	95	91	�	�	PROPN
ejpam-2349	95	92	}	}	PUNCT
ejpam-2349	95	93	γp	γp	PROPN
ejpam-2349	95	94	b	b	SYM
ejpam-2349	95	95	=	=	NOUN
ejpam-2349	95	96	{	{	PUNCT
ejpam-2349	95	97	�	�	PROPN
ejpam-2349	95	98	x1	x1	PROPN
ejpam-2349	95	99	,	,	PUNCT
ejpam-2349	95	100	{	{	PUNCT
ejpam-2349	95	101	0.4	0.4	NUM
ejpam-2349	95	102	/	/	SYM
ejpam-2349	95	103	u1	u1	NOUN
ejpam-2349	95	104	,	,	PUNCT
ejpam-2349	95	105	0.2	0.2	NUM
ejpam-2349	95	106	/	/	SYM
ejpam-2349	95	107	u2	u2	NOUN
ejpam-2349	95	108	,	,	PUNCT
ejpam-2349	95	109	0.4	0.4	NUM
ejpam-2349	95	110	/	/	SYM
ejpam-2349	95	111	u5	u5	PROPN
ejpam-2349	95	112	}	}	PUNCT
ejpam-2349	95	113	�	�	PROPN
ejpam-2349	95	114	,	,	PUNCT
ejpam-2349	95	115	�	�	PROPN
ejpam-2349	95	116	x2	x2	PROPN
ejpam-2349	95	117	,	,	PUNCT
ejpam-2349	95	118	{	{	PUNCT
ejpam-2349	95	119	0.4	0.4	NUM
ejpam-2349	95	120	/	/	SYM
ejpam-2349	95	121	u2	u2	NOUN
ejpam-2349	95	122	,	,	PUNCT
ejpam-2349	95	123	0.1	0.1	NUM
ejpam-2349	95	124	/	/	SYM
ejpam-2349	95	125	u3	u3	PROPN
ejpam-2349	95	126	}	}	PUNCT
ejpam-2349	95	127	�	�	PROPN
ejpam-2349	95	128	,	,	PUNCT
ejpam-2349	95	129	�	�	PROPN
ejpam-2349	95	130	x4	x4	PROPN
ejpam-2349	95	131	,	,	PUNCT
ejpam-2349	95	132	{	{	PUNCT
ejpam-2349	95	133	0.2	0.2	NUM
ejpam-2349	95	134	/	/	SYM
ejpam-2349	95	135	u4	u4	PROPN
ejpam-2349	95	136	,	,	PUNCT
ejpam-2349	95	137	0.2	0.2	NUM
ejpam-2349	95	138	/	/	SYM
ejpam-2349	95	139	u5	u5	PROPN
ejpam-2349	95	140	}	}	PUNCT
ejpam-2349	95	141	�	�	PROPN
ejpam-2349	95	142	}	}	PUNCT
ejpam-2349	95	143	it	it	PRON
ejpam-2349	95	144	is	be	AUX
ejpam-2349	95	145	clear	clear	ADJ
ejpam-2349	95	146	that	that	SCONJ
ejpam-2349	95	147	a∪	a∪	PROPN
ejpam-2349	95	148	b	b	NOUN
ejpam-2349	95	149	=	=	PRON
ejpam-2349	95	150	{	{	PUNCT
ejpam-2349	95	151	x1	x1	PROPN
ejpam-2349	95	152	,	,	PUNCT
ejpam-2349	95	153	x2	x2	PROPN
ejpam-2349	95	154	,	,	PUNCT
ejpam-2349	95	155	x4	x4	PROPN
ejpam-2349	95	156	}	}	PUNCT
ejpam-2349	95	157	and	and	CCONJ
ejpam-2349	95	158	γp	γp	X
ejpam-2349	95	159	a∪b	a∪b	ADJ
ejpam-2349	95	160	�	�	PROPN
ejpam-2349	95	161	x1	x1	PROPN
ejpam-2349	95	162	�	�	PROPN
ejpam-2349	96	1	=	=	PRON
ejpam-2349	96	2	γp	γp	PROPN
ejpam-2349	96	3	a	a	DET
ejpam-2349	96	4	�	�	PROPN
ejpam-2349	96	5	x1	x1	PROPN
ejpam-2349	96	6	�	�	PROPN
ejpam-2349	96	7	∪	∪	PROPN
ejpam-2349	96	8	γp	γp	PROPN
ejpam-2349	96	9	b	b	PROPN
ejpam-2349	96	10	�	�	PROPN
ejpam-2349	96	11	x1	x1	PROPN
ejpam-2349	96	12	�	�	PROPN
ejpam-2349	96	13	=	=	PRON
ejpam-2349	96	14	{	{	PUNCT
ejpam-2349	96	15	0.4	0.4	NUM
ejpam-2349	96	16	/	/	SYM
ejpam-2349	96	17	u1	u1	NOUN
ejpam-2349	96	18	,	,	PUNCT
ejpam-2349	96	19	0.2	0.2	NUM
ejpam-2349	96	20	/	/	SYM
ejpam-2349	96	21	u2	u2	NOUN
ejpam-2349	96	22	,	,	PUNCT
ejpam-2349	96	23	0.4	0.4	NUM
ejpam-2349	96	24	/	/	SYM
ejpam-2349	96	25	u5	u5	PROPN
ejpam-2349	96	26	}	}	PUNCT
ejpam-2349	96	27	γp	γp	NOUN
ejpam-2349	96	28	a∪b	a∪b	ADJ
ejpam-2349	96	29	�	�	PROPN
ejpam-2349	96	30	x2	x2	PROPN
ejpam-2349	96	31	�	�	PROPN
ejpam-2349	97	1	=	=	PRON
ejpam-2349	97	2	γp	γp	PROPN
ejpam-2349	97	3	a	a	DET
ejpam-2349	97	4	�	�	PROPN
ejpam-2349	97	5	x2	x2	PROPN
ejpam-2349	97	6	�	�	PROPN
ejpam-2349	97	7	∪	∪	PROPN
ejpam-2349	97	8	γp	γp	PROPN
ejpam-2349	97	9	b	b	PROPN
ejpam-2349	97	10	�	�	PROPN
ejpam-2349	97	11	x2	x2	PROPN
ejpam-2349	97	12	�	�	PROPN
ejpam-2349	97	13	=	=	PUNCT
ejpam-2349	97	14	{	{	PUNCT
ejpam-2349	97	15	0.2	0.2	NUM
ejpam-2349	97	16	/	/	SYM
ejpam-2349	97	17	u1	u1	NOUN
ejpam-2349	97	18	,	,	PUNCT
ejpam-2349	97	19	0.4	0.4	NUM
ejpam-2349	97	20	/	/	SYM
ejpam-2349	97	21	u2	u2	NOUN
ejpam-2349	97	22	,	,	PUNCT
ejpam-2349	97	23	0.1	0.1	NUM
ejpam-2349	97	24	/	/	SYM
ejpam-2349	97	25	u3	u3	NOUN
ejpam-2349	97	26	,	,	PUNCT
ejpam-2349	97	27	0.1	0.1	NUM
ejpam-2349	97	28	/	/	SYM
ejpam-2349	97	29	u4	u4	PROPN
ejpam-2349	97	30	}	}	PUNCT
ejpam-2349	97	31	γp	γp	NOUN
ejpam-2349	97	32	a∪b	a∪b	ADJ
ejpam-2349	97	33	�	�	PROPN
ejpam-2349	97	34	x4	x4	PROPN
ejpam-2349	97	35	�	�	PROPN
ejpam-2349	98	1	=	=	PRON
ejpam-2349	98	2	γp	γp	PROPN
ejpam-2349	98	3	a	a	DET
ejpam-2349	98	4	�	�	PROPN
ejpam-2349	98	5	x4	x4	PROPN
ejpam-2349	98	6	�	�	PROPN
ejpam-2349	98	7	∪	∪	PROPN
ejpam-2349	98	8	γp	γp	PROPN
ejpam-2349	98	9	b	b	PROPN
ejpam-2349	98	10	�	�	PROPN
ejpam-2349	98	11	x4	x4	PROPN
ejpam-2349	98	12	�	�	PROPN
ejpam-2349	98	13	=	=	PUNCT
ejpam-2349	98	14	{	{	PUNCT
ejpam-2349	98	15	0.2	0.2	NUM
ejpam-2349	98	16	/	/	SYM
ejpam-2349	98	17	u4	u4	PROPN
ejpam-2349	98	18	,	,	PUNCT
ejpam-2349	98	19	0.2	0.2	NUM
ejpam-2349	98	20	/	/	SYM
ejpam-2349	98	21	u5	u5	NOUN
ejpam-2349	98	22	}	}	PUNCT
ejpam-2349	98	23	i.e.	i.e.	X
ejpam-2349	98	24	γp	γp	ADP
ejpam-2349	98	25	a	a	DET
ejpam-2349	98	26	e∪γp	e∪γp	PROPN
ejpam-2349	98	27	b	b	PROPN
ejpam-2349	98	28	=	=	PRON
ejpam-2349	98	29	{	{	PUNCT
ejpam-2349	98	30	�	�	PROPN
ejpam-2349	98	31	x1	x1	PROPN
ejpam-2349	98	32	,	,	PUNCT
ejpam-2349	98	33	{	{	PUNCT
ejpam-2349	98	34	0.4	0.4	NUM
ejpam-2349	98	35	/	/	SYM
ejpam-2349	98	36	u1	u1	NOUN
ejpam-2349	98	37	,	,	PUNCT
ejpam-2349	98	38	0.2	0.2	NUM
ejpam-2349	98	39	/	/	SYM
ejpam-2349	98	40	u2	u2	NOUN
ejpam-2349	98	41	,	,	PUNCT
ejpam-2349	98	42	0.4	0.4	NUM
ejpam-2349	98	43	/	/	SYM
ejpam-2349	98	44	u5	u5	PROPN
ejpam-2349	98	45	}	}	PUNCT
ejpam-2349	98	46	�	�	PROPN
ejpam-2349	98	47	,	,	PUNCT
ejpam-2349	98	48	�	�	PROPN
ejpam-2349	98	49	x2	x2	PROPN
ejpam-2349	98	50	,	,	PUNCT
ejpam-2349	98	51	{	{	PUNCT
ejpam-2349	98	52	0.2	0.2	NUM
ejpam-2349	98	53	/	/	SYM
ejpam-2349	98	54	u1	u1	NOUN
ejpam-2349	98	55	,	,	PUNCT
ejpam-2349	98	56	0.4	0.4	NUM
ejpam-2349	98	57	/	/	SYM
ejpam-2349	98	58	u2	u2	NOUN
ejpam-2349	98	59	,	,	PUNCT
ejpam-2349	98	60	0.1	0.1	NUM
ejpam-2349	98	61	/	/	SYM
ejpam-2349	98	62	u3	u3	NOUN
ejpam-2349	98	63	,	,	PUNCT
ejpam-2349	98	64	0.1	0.1	NUM
ejpam-2349	98	65	/	/	SYM
ejpam-2349	98	66	u4	u4	PROPN
ejpam-2349	98	67	}	}	PUNCT
ejpam-2349	98	68	�	�	PROPN
ejpam-2349	98	69	�	�	PROPN
ejpam-2349	98	70	x4	x4	PROPN
ejpam-2349	98	71	,	,	PUNCT
ejpam-2349	98	72	{	{	PUNCT
ejpam-2349	98	73	0.2	0.2	NUM
ejpam-2349	98	74	/	/	SYM
ejpam-2349	98	75	u4	u4	PROPN
ejpam-2349	98	76	,	,	PUNCT
ejpam-2349	98	77	0.2	0.2	NUM
ejpam-2349	98	78	/	/	SYM
ejpam-2349	98	79	u5	u5	PROPN
ejpam-2349	98	80	}	}	PUNCT
ejpam-2349	98	81	�	�	PROPN
ejpam-2349	98	82	}	}	PUNCT
ejpam-2349	98	83	.	.	PUNCT
ejpam-2349	99	1	proposition	proposition	NOUN
ejpam-2349	99	2	3	3	X
ejpam-2349	99	3	.	.	PUNCT
ejpam-2349	100	1	let	let	VERB
ejpam-2349	100	2	γp	γp	PRON
ejpam-2349	100	3	a	a	DET
ejpam-2349	100	4	,	,	PUNCT
ejpam-2349	100	5	γp	γp	PROPN
ejpam-2349	100	6	b	b	PROPN
ejpam-2349	100	7	,	,	PUNCT
ejpam-2349	100	8	γp	γp	PROPN
ejpam-2349	100	9	c	c	PROPN
ejpam-2349	100	10	∈	∈	PROPN
ejpam-2349	100	11	pr	pr	NOUN
ejpam-2349	100	12	s	s	NOUN
ejpam-2349	100	13	(	(	PUNCT
ejpam-2349	100	14	u	u	NOUN
ejpam-2349	100	15	)	)	PUNCT
ejpam-2349	100	16	.	.	PUNCT
ejpam-2349	101	1	then	then	ADV
ejpam-2349	101	2	(	(	PUNCT
ejpam-2349	101	3	i	i	NOUN
ejpam-2349	101	4	)	)	PUNCT
ejpam-2349	101	5	γp	γp	PROPN
ejpam-2349	101	6	a	a	DET
ejpam-2349	101	7	e∪γp	e∪γp	PROPN
ejpam-2349	101	8	a	a	DET
ejpam-2349	101	9	=	=	X
ejpam-2349	101	10	γ	γ	X
ejpam-2349	101	11	p	p	NOUN
ejpam-2349	101	12	a	a	DET
ejpam-2349	101	13	(	(	PUNCT
ejpam-2349	101	14	ii	ii	NOUN
ejpam-2349	101	15	)	)	PUNCT
ejpam-2349	101	16	γp	γp	ADP
ejpam-2349	101	17	a	a	DET
ejpam-2349	101	18	e∪γp	e∪γp	PROPN
ejpam-2349	101	19	b	b	PROPN
ejpam-2349	101	20	=	=	SYM
ejpam-2349	101	21	γ	γ	PROPN
ejpam-2349	101	22	p	p	PROPN
ejpam-2349	101	23	b	b	PROPN
ejpam-2349	101	24	e∪γp	e∪γp	PROPN
ejpam-2349	101	25	a	a	DET
ejpam-2349	101	26	(	(	PUNCT
ejpam-2349	101	27	iii	iii	NOUN
ejpam-2349	101	28	)	)	PUNCT
ejpam-2349	101	29	�	�	PROPN
ejpam-2349	101	30	γp	γp	ADP
ejpam-2349	101	31	a	a	DET
ejpam-2349	101	32	e∪γp	e∪γp	PROPN
ejpam-2349	101	33	b	b	PROPN
ejpam-2349	101	34	�	�	PROPN
ejpam-2349	101	35	e∪γp	e∪γp	PROPN
ejpam-2349	102	1	c	c	PROPN
ejpam-2349	102	2	=	=	PUNCT
ejpam-2349	102	3	γ	γ	X
ejpam-2349	102	4	p	p	VERB
ejpam-2349	102	5	a	a	DET
ejpam-2349	102	6	e∪	e∪	PROPN
ejpam-2349	102	7	�	�	PROPN
ejpam-2349	102	8	γp	γp	PROPN
ejpam-2349	102	9	b	b	PROPN
ejpam-2349	102	10	e∪γp	e∪γp	PROPN
ejpam-2349	102	11	c	c	PROPN
ejpam-2349	102	12	�	�	PROPN
ejpam-2349	102	13	.	.	PUNCT
ejpam-2349	103	1	proof	proof	NOUN
ejpam-2349	103	2	.	.	PUNCT
ejpam-2349	104	1	the	the	DET
ejpam-2349	104	2	proofs	proof	NOUN
ejpam-2349	104	3	can	can	AUX
ejpam-2349	104	4	be	be	AUX
ejpam-2349	104	5	proved	prove	VERB
ejpam-2349	104	6	easily	easily	ADV
ejpam-2349	104	7	by	by	ADP
ejpam-2349	104	8	using	use	VERB
ejpam-2349	104	9	the	the	DET
ejpam-2349	104	10	definition	definition	NOUN
ejpam-2349	104	11	9	9	NUM
ejpam-2349	104	12	.	.	PUNCT
ejpam-2349	105	1	definition	definition	NOUN
ejpam-2349	105	2	10	10	NUM
ejpam-2349	105	3	.	.	PUNCT
ejpam-2349	106	1	let	let	VERB
ejpam-2349	106	2	γp	γp	PRON
ejpam-2349	106	3	a	a	PRON
ejpam-2349	106	4	,	,	PUNCT
ejpam-2349	106	5	γp	γp	PROPN
ejpam-2349	106	6	b	b	PROPN
ejpam-2349	106	7	∈	∈	PROPN
ejpam-2349	106	8	pr	pr	NOUN
ejpam-2349	106	9	s	s	X
ejpam-2349	106	10	(	(	PUNCT
ejpam-2349	106	11	u	u	NOUN
ejpam-2349	106	12	)	)	PUNCT
ejpam-2349	106	13	.	.	PUNCT
ejpam-2349	107	1	then	then	ADV
ejpam-2349	107	2	the	the	DET
ejpam-2349	107	3	intersection	intersection	NOUN
ejpam-2349	107	4	of	of	ADP
ejpam-2349	107	5	γp	γp	PROPN
ejpam-2349	107	6	a	a	PRON
ejpam-2349	107	7	and	and	CCONJ
ejpam-2349	107	8	γp	γp	PROPN
ejpam-2349	107	9	b	b	PROPN
ejpam-2349	107	10	,	,	PUNCT
ejpam-2349	107	11	denoted	denote	VERB
ejpam-2349	107	12	by	by	ADP
ejpam-2349	107	13	γp	γp	PROPN
ejpam-2349	107	14	a	a	DET
ejpam-2349	107	15	e∩γp	e∩γp	PROPN
ejpam-2349	107	16	b	b	PROPN
ejpam-2349	107	17	,	,	PUNCT
ejpam-2349	107	18	is	be	AUX
ejpam-2349	107	19	defined	define	VERB
ejpam-2349	107	20	by	by	ADP
ejpam-2349	107	21	its	its	PRON
ejpam-2349	107	22	probabilistic	probabilistic	ADJ
ejpam-2349	107	23	approximate	approximate	ADJ
ejpam-2349	107	24	functions	function	NOUN
ejpam-2349	107	25	:	:	PUNCT
ejpam-2349	107	26	γp	γp	PROPN
ejpam-2349	107	27	a∩b	a∩b	PROPN
ejpam-2349	107	28	(	(	PUNCT
ejpam-2349	107	29	x	x	X
ejpam-2349	107	30	)	)	PUNCT
ejpam-2349	107	31	=	=	SYM
ejpam-2349	108	1	γ	γ	X
ejpam-2349	108	2	p	p	NOUN
ejpam-2349	108	3	a	a	PROPN
ejpam-2349	108	4	(	(	PUNCT
ejpam-2349	108	5	x)∩	x)∩	PROPN
ejpam-2349	108	6	γ	γ	PROPN
ejpam-2349	108	7	p	p	PROPN
ejpam-2349	108	8	b	b	PROPN
ejpam-2349	108	9	(	(	PUNCT
ejpam-2349	108	10	x	x	NOUN
ejpam-2349	108	11	)	)	PUNCT
ejpam-2349	108	12	,	,	PUNCT
ejpam-2349	108	13	for	for	ADP
ejpam-2349	108	14	all	all	DET
ejpam-2349	108	15	x	x	SYM
ejpam-2349	108	16	∈	∈	PROPN
ejpam-2349	108	17	a∩	a∩	PROPN
ejpam-2349	108	18	b	b	PROPN
ejpam-2349	108	19	,	,	PUNCT
ejpam-2349	108	20	a∩	a∩	PROPN
ejpam-2349	108	21	b	b	PROPN
ejpam-2349	108	22	6=	6=	PROPN
ejpam-2349	108	23	;	;	PUNCT
ejpam-2349	108	24	.	.	PUNCT
ejpam-2349	109	1	ç	ç	X
ejpam-2349	109	2	.	.	PUNCT
ejpam-2349	109	3	gunduz(aras	gunduz(aras	PROPN
ejpam-2349	109	4	)	)	PUNCT
ejpam-2349	109	5	,	,	PUNCT
ejpam-2349	109	6	h.	h.	PROPN
ejpam-2349	109	7	poşul	poşul	PROPN
ejpam-2349	109	8	/	/	PUNCT
ejpam-2349	109	9	eur	eur	PROPN
ejpam-2349	109	10	.	.	PUNCT
ejpam-2349	110	1	j.	j.	PROPN
ejpam-2349	110	2	pure	pure	PROPN
ejpam-2349	110	3	appl	appl	PROPN
ejpam-2349	110	4	.	.	PROPN
ejpam-2349	110	5	math	math	PROPN
ejpam-2349	110	6	,	,	PUNCT
ejpam-2349	110	7	9	9	NUM
ejpam-2349	110	8	(	(	PUNCT
ejpam-2349	110	9	2016	2016	NUM
ejpam-2349	110	10	)	)	PUNCT
ejpam-2349	110	11	,	,	PUNCT
ejpam-2349	110	12	333	333	NUM
ejpam-2349	110	13	-	-	SYM
ejpam-2349	110	14	339	339	NUM
ejpam-2349	110	15	338	338	NUM
ejpam-2349	110	16	example	example	NOUN
ejpam-2349	110	17	8	8	NUM
ejpam-2349	110	18	.	.	PUNCT
ejpam-2349	111	1	let	let	VERB
ejpam-2349	111	2	us	we	PRON
ejpam-2349	111	3	consider	consider	VERB
ejpam-2349	111	4	example	example	NOUN
ejpam-2349	111	5	7	7	NUM
ejpam-2349	111	6	.	.	PUNCT
ejpam-2349	112	1	then	then	ADV
ejpam-2349	112	2	a∩	a∩	PROPN
ejpam-2349	112	3	b	b	PROPN
ejpam-2349	112	4	=	=	PRON
ejpam-2349	112	5	{	{	PUNCT
ejpam-2349	112	6	x1	x1	PROPN
ejpam-2349	112	7	,	,	PUNCT
ejpam-2349	112	8	x2	x2	PROPN
ejpam-2349	112	9	}	}	PUNCT
ejpam-2349	112	10	and	and	CCONJ
ejpam-2349	112	11	γp	γp	PROPN
ejpam-2349	112	12	a∩b	a∩b	PROPN
ejpam-2349	112	13	�	�	PROPN
ejpam-2349	112	14	x1	x1	PROPN
ejpam-2349	112	15	�	�	PROPN
ejpam-2349	113	1	=	=	PRON
ejpam-2349	113	2	γp	γp	PROPN
ejpam-2349	113	3	a	a	DET
ejpam-2349	113	4	�	�	PROPN
ejpam-2349	113	5	x1	x1	PROPN
ejpam-2349	113	6	�	�	PROPN
ejpam-2349	113	7	∩	∩	PROPN
ejpam-2349	113	8	γp	γp	PROPN
ejpam-2349	113	9	b	b	PROPN
ejpam-2349	113	10	�	�	PROPN
ejpam-2349	113	11	x1	x1	PROPN
ejpam-2349	113	12	�	�	PROPN
ejpam-2349	113	13	=	=	PUNCT
ejpam-2349	113	14	{	{	PUNCT
ejpam-2349	113	15	0.2	0.2	NUM
ejpam-2349	113	16	/	/	SYM
ejpam-2349	113	17	u2	u2	NOUN
ejpam-2349	113	18	,	,	PUNCT
ejpam-2349	113	19	0.4	0.4	NUM
ejpam-2349	113	20	/	/	SYM
ejpam-2349	113	21	u5	u5	PROPN
ejpam-2349	113	22	}	}	PUNCT
ejpam-2349	113	23	γp	γp	PROPN
ejpam-2349	113	24	a∩b	a∩b	PROPN
ejpam-2349	113	25	�	�	PROPN
ejpam-2349	113	26	x2	x2	PROPN
ejpam-2349	113	27	�	�	PROPN
ejpam-2349	114	1	=	=	PRON
ejpam-2349	114	2	γp	γp	PROPN
ejpam-2349	114	3	a	a	DET
ejpam-2349	114	4	�	�	PROPN
ejpam-2349	114	5	x2	x2	PROPN
ejpam-2349	114	6	�	�	PROPN
ejpam-2349	114	7	∩	∩	PROPN
ejpam-2349	114	8	γp	γp	PROPN
ejpam-2349	114	9	b	b	PROPN
ejpam-2349	114	10	�	�	PROPN
ejpam-2349	114	11	x2	x2	PROPN
ejpam-2349	114	12	�	�	PROPN
ejpam-2349	114	13	=	=	PUNCT
ejpam-2349	114	14	;	;	PUNCT
ejpam-2349	114	15	hence	hence	ADV
ejpam-2349	114	16	γp	γp	VERB
ejpam-2349	114	17	a	a	DET
ejpam-2349	114	18	e∩γp	e∩γp	PROPN
ejpam-2349	114	19	b	b	PROPN
ejpam-2349	114	20	=	=	PRON
ejpam-2349	114	21	{	{	PUNCT
ejpam-2349	114	22	�	�	PROPN
ejpam-2349	114	23	x1	x1	PROPN
ejpam-2349	114	24	,	,	PUNCT
ejpam-2349	114	25	{	{	PUNCT
ejpam-2349	114	26	0.2	0.2	NUM
ejpam-2349	114	27	/	/	SYM
ejpam-2349	114	28	u2	u2	NOUN
ejpam-2349	114	29	,	,	PUNCT
ejpam-2349	114	30	0.4	0.4	NUM
ejpam-2349	114	31	/	/	SYM
ejpam-2349	114	32	u5	u5	PROPN
ejpam-2349	114	33	}	}	PUNCT
ejpam-2349	114	34	�	�	PROPN
ejpam-2349	114	35	}	}	PUNCT
ejpam-2349	114	36	is	be	AUX
ejpam-2349	114	37	obtained	obtain	VERB
ejpam-2349	114	38	.	.	PUNCT
ejpam-2349	115	1	proposition	proposition	NOUN
ejpam-2349	115	2	4	4	NUM
ejpam-2349	115	3	.	.	PUNCT
ejpam-2349	116	1	let	let	VERB
ejpam-2349	116	2	γp	γp	PRON
ejpam-2349	116	3	a	a	DET
ejpam-2349	116	4	,	,	PUNCT
ejpam-2349	116	5	γp	γp	PROPN
ejpam-2349	116	6	b	b	PROPN
ejpam-2349	116	7	,	,	PUNCT
ejpam-2349	116	8	γp	γp	PROPN
ejpam-2349	116	9	c	c	PROPN
ejpam-2349	116	10	∈	∈	PROPN
ejpam-2349	116	11	pr	pr	NOUN
ejpam-2349	116	12	s	s	NOUN
ejpam-2349	116	13	(	(	PUNCT
ejpam-2349	116	14	u	u	NOUN
ejpam-2349	116	15	)	)	PUNCT
ejpam-2349	116	16	.	.	PUNCT
ejpam-2349	117	1	then	then	ADV
ejpam-2349	117	2	(	(	PUNCT
ejpam-2349	117	3	i	i	NOUN
ejpam-2349	117	4	)	)	PUNCT
ejpam-2349	117	5	γp	γp	VERB
ejpam-2349	117	6	a	a	DET
ejpam-2349	117	7	e∩γp	e∩γp	PROPN
ejpam-2349	117	8	a	a	X
ejpam-2349	117	9	=	=	X
ejpam-2349	117	10	γ	γ	X
ejpam-2349	117	11	p	p	NOUN
ejpam-2349	117	12	a	a	DET
ejpam-2349	117	13	(	(	PUNCT
ejpam-2349	117	14	ii	ii	NOUN
ejpam-2349	117	15	)	)	PUNCT
ejpam-2349	117	16	γp	γp	ADP
ejpam-2349	117	17	a	a	DET
ejpam-2349	117	18	e∩γp	e∩γp	PROPN
ejpam-2349	117	19	b	b	NOUN
ejpam-2349	117	20	=	=	SYM
ejpam-2349	117	21	γ	γ	X
ejpam-2349	117	22	p	p	NOUN
ejpam-2349	117	23	b	b	PROPN
ejpam-2349	118	1	e∩γp	e∩γp	NOUN
ejpam-2349	118	2	a	a	DET
ejpam-2349	118	3	(	(	PUNCT
ejpam-2349	118	4	iii	iii	NOUN
ejpam-2349	118	5	)	)	PUNCT
ejpam-2349	118	6	�	�	PROPN
ejpam-2349	118	7	γp	γp	ADP
ejpam-2349	119	1	a	a	DET
ejpam-2349	119	2	e∩γp	e∩γp	PROPN
ejpam-2349	119	3	b	b	PROPN
ejpam-2349	119	4	�	�	PROPN
ejpam-2349	119	5	e∩γp	e∩γp	NOUN
ejpam-2349	119	6	c	c	NOUN
ejpam-2349	119	7	=	=	PUNCT
ejpam-2349	119	8	γ	γ	X
ejpam-2349	119	9	p	p	X
ejpam-2349	119	10	a	a	DET
ejpam-2349	119	11	e∩	e∩	PROPN
ejpam-2349	119	12	�	�	PROPN
ejpam-2349	119	13	γp	γp	PROPN
ejpam-2349	119	14	b	b	PROPN
ejpam-2349	119	15	e∩γp	e∩γp	PROPN
ejpam-2349	119	16	c	c	PROPN
ejpam-2349	119	17	�	�	PROPN
ejpam-2349	119	18	.	.	PUNCT
ejpam-2349	120	1	proof	proof	NOUN
ejpam-2349	120	2	.	.	PUNCT
ejpam-2349	121	1	the	the	DET
ejpam-2349	121	2	proofs	proof	NOUN
ejpam-2349	121	3	can	can	AUX
ejpam-2349	121	4	be	be	AUX
ejpam-2349	121	5	proved	prove	VERB
ejpam-2349	121	6	easily	easily	ADV
ejpam-2349	121	7	by	by	ADP
ejpam-2349	121	8	using	use	VERB
ejpam-2349	121	9	the	the	DET
ejpam-2349	121	10	definition	definition	NOUN
ejpam-2349	121	11	10	10	NUM
ejpam-2349	121	12	.	.	PUNCT
ejpam-2349	122	1	proposition	proposition	NOUN
ejpam-2349	122	2	5	5	NUM
ejpam-2349	122	3	.	.	PUNCT
ejpam-2349	123	1	let	let	VERB
ejpam-2349	123	2	γp	γp	PRON
ejpam-2349	123	3	a	a	DET
ejpam-2349	123	4	,	,	PUNCT
ejpam-2349	123	5	γp	γp	PROPN
ejpam-2349	123	6	b	b	PROPN
ejpam-2349	123	7	,	,	PUNCT
ejpam-2349	123	8	γp	γp	PROPN
ejpam-2349	123	9	c	c	PROPN
ejpam-2349	123	10	∈	∈	PROPN
ejpam-2349	123	11	pr	pr	NOUN
ejpam-2349	123	12	s	s	NOUN
ejpam-2349	123	13	(	(	PUNCT
ejpam-2349	123	14	u	u	NOUN
ejpam-2349	123	15	)	)	PUNCT
ejpam-2349	123	16	and	and	CCONJ
ejpam-2349	123	17	γp	γp	X
ejpam-2349	123	18	a	a	PRON
ejpam-2349	123	19	,	,	PUNCT
ejpam-2349	123	20	γp	γp	PROPN
ejpam-2349	123	21	b	b	PROPN
ejpam-2349	123	22	e⊆γp	e⊆γp	PROPN
ejpam-2349	123	23	c	c	PROPN
ejpam-2349	123	24	.	.	PUNCT
ejpam-2349	124	1	then	then	ADV
ejpam-2349	124	2	,	,	PUNCT
ejpam-2349	124	3	de	de	PROPN
ejpam-2349	124	4	morgan	morgan	PROPN
ejpam-2349	124	5	’s	’s	PART
ejpam-2349	124	6	laws	law	NOUN
ejpam-2349	124	7	for	for	ADP
ejpam-2349	124	8	γp	γp	PROPN
ejpam-2349	124	9	a	a	DET
ejpam-2349	124	10	,	,	PUNCT
ejpam-2349	124	11	γp	γp	PROPN
ejpam-2349	124	12	b	b	NOUN
ejpam-2349	124	13	are	be	AUX
ejpam-2349	124	14	valid	valid	ADJ
ejpam-2349	124	15	as	as	SCONJ
ejpam-2349	124	16	follows	follow	VERB
ejpam-2349	124	17	:	:	PUNCT
ejpam-2349	124	18	(	(	PUNCT
ejpam-2349	124	19	i	i	NOUN
ejpam-2349	124	20	)	)	PUNCT
ejpam-2349	124	21	�	�	PROPN
ejpam-2349	124	22	γp	γp	ADP
ejpam-2349	124	23	a	a	DET
ejpam-2349	124	24	e∩γp	e∩γp	PROPN
ejpam-2349	124	25	a	a	DET
ejpam-2349	124	26	�	�	PROPN
ejpam-2349	124	27	c	c	NOUN
ejpam-2349	124	28	γp	γp	NOUN
ejpam-2349	124	29	c	c	PROPN
ejpam-2349	124	30	=	=	SYM
ejpam-2349	124	31	�	�	PROPN
ejpam-2349	124	32	γp	γp	PROPN
ejpam-2349	124	33	a	a	DET
ejpam-2349	124	34	�	�	PROPN
ejpam-2349	124	35	c	c	NOUN
ejpam-2349	124	36	γp	γp	NOUN
ejpam-2349	124	37	c	c	PROPN
ejpam-2349	124	38	e∪	e∪	PROPN
ejpam-2349	124	39	�	�	PROPN
ejpam-2349	124	40	γp	γp	PROPN
ejpam-2349	124	41	b	b	PROPN
ejpam-2349	124	42	�	�	PROPN
ejpam-2349	124	43	c	c	PROPN
ejpam-2349	124	44	γp	γp	PROPN
ejpam-2349	124	45	c	c	PROPN
ejpam-2349	124	46	(	(	PUNCT
ejpam-2349	124	47	ii	ii	PROPN
ejpam-2349	124	48	)	)	PUNCT
ejpam-2349	124	49	�	�	PROPN
ejpam-2349	124	50	γp	γp	PROPN
ejpam-2349	124	51	a	a	DET
ejpam-2349	124	52	e∪γp	e∪γp	PROPN
ejpam-2349	124	53	b	b	PROPN
ejpam-2349	124	54	�	�	PROPN
ejpam-2349	124	55	c	c	PROPN
ejpam-2349	124	56	γp	γp	NOUN
ejpam-2349	124	57	c	c	PROPN
ejpam-2349	124	58	=	=	SYM
ejpam-2349	124	59	�	�	PROPN
ejpam-2349	124	60	γp	γp	PROPN
ejpam-2349	124	61	a	a	DET
ejpam-2349	124	62	�	�	PROPN
ejpam-2349	124	63	c	c	NOUN
ejpam-2349	124	64	γp	γp	NOUN
ejpam-2349	124	65	c	c	PROPN
ejpam-2349	124	66	e∩	e∩	PROPN
ejpam-2349	124	67	�	�	PROPN
ejpam-2349	124	68	γp	γp	PROPN
ejpam-2349	124	69	b	b	PROPN
ejpam-2349	124	70	�	�	PROPN
ejpam-2349	124	71	c	c	PROPN
ejpam-2349	124	72	γp	γp	NOUN
ejpam-2349	124	73	c	c	NOUN
ejpam-2349	124	74	proof	proof	NOUN
ejpam-2349	124	75	.	.	PUNCT
ejpam-2349	125	1	the	the	DET
ejpam-2349	125	2	proofs	proof	NOUN
ejpam-2349	125	3	can	can	AUX
ejpam-2349	125	4	be	be	AUX
ejpam-2349	125	5	proved	prove	VERB
ejpam-2349	125	6	easily	easily	ADV
ejpam-2349	125	7	by	by	ADP
ejpam-2349	125	8	using	use	VERB
ejpam-2349	125	9	the	the	DET
ejpam-2349	125	10	respective	respective	ADJ
ejpam-2349	125	11	probabilistic	probabilistic	ADJ
ejpam-2349	125	12	approximate	approximate	ADJ
ejpam-2349	125	13	functions	function	NOUN
ejpam-2349	125	14	.	.	PUNCT
ejpam-2349	126	1	so	so	ADV
ejpam-2349	126	2	,	,	PUNCT
ejpam-2349	126	3	we	we	PRON
ejpam-2349	126	4	only	only	ADV
ejpam-2349	126	5	prove	prove	VERB
ejpam-2349	126	6	(	(	PUNCT
ejpam-2349	126	7	i	i	NOUN
ejpam-2349	126	8	)	)	PUNCT
ejpam-2349	126	9	case	case	NOUN
ejpam-2349	126	10	.	.	PUNCT
ejpam-2349	127	1	for	for	ADP
ejpam-2349	127	2	all	all	DET
ejpam-2349	127	3	x	x	SYM
ejpam-2349	127	4	∈	∈	PROPN
ejpam-2349	127	5	e	e	NOUN
ejpam-2349	127	6	,	,	PUNCT
ejpam-2349	127	7	�	�	PROPN
ejpam-2349	127	8	γp	γp	PROPN
ejpam-2349	127	9	a∩b	a∩b	PROPN
ejpam-2349	127	10	�	�	PROPN
ejpam-2349	127	11	c	c	PROPN
ejpam-2349	127	12	γp	γp	PROPN
ejpam-2349	127	13	c	c	PROPN
ejpam-2349	127	14	(	(	PUNCT
ejpam-2349	127	15	x	x	NOUN
ejpam-2349	127	16	)	)	PUNCT
ejpam-2349	127	17	=	=	SYM
ejpam-2349	127	18	�	�	PROPN
ejpam-2349	127	19	γp	γp	VERB
ejpam-2349	127	20	a	a	DET
ejpam-2349	127	21	∩	∩	ADJ
ejpam-2349	127	22	γ	γ	X
ejpam-2349	127	23	p	p	PROPN
ejpam-2349	127	24	b	b	PROPN
ejpam-2349	127	25	�	�	PROPN
ejpam-2349	127	26	c	c	PROPN
ejpam-2349	127	27	γp	γp	PROPN
ejpam-2349	128	1	c	c	PROPN
ejpam-2349	128	2	(	(	PUNCT
ejpam-2349	128	3	x	x	X
ejpam-2349	128	4	)	)	PUNCT
ejpam-2349	128	5	=	=	SYM
ejpam-2349	128	6	γp	γp	PROPN
ejpam-2349	128	7	c	c	X
ejpam-2349	128	8	(	(	PUNCT
ejpam-2349	128	9	x	x	NOUN
ejpam-2349	128	10	)	)	PUNCT
ejpam-2349	128	11	\	\	PROPN
ejpam-2349	128	12	�	�	PROPN
ejpam-2349	128	13	γp	γp	PROPN
ejpam-2349	128	14	a	a	DET
ejpam-2349	128	15	∩	∩	ADJ
ejpam-2349	128	16	γ	γ	X
ejpam-2349	128	17	p	p	PROPN
ejpam-2349	128	18	b	b	PROPN
ejpam-2349	128	19	�	�	PROPN
ejpam-2349	128	20	(	(	PUNCT
ejpam-2349	128	21	x	x	NOUN
ejpam-2349	128	22	)	)	PUNCT
ejpam-2349	128	23	=	=	SYM
ejpam-2349	128	24	�	�	PROPN
ejpam-2349	128	25	γp	γp	ADP
ejpam-2349	129	1	c	c	PROPN
ejpam-2349	129	2	(	(	PUNCT
ejpam-2349	129	3	x	x	NOUN
ejpam-2349	129	4	)	)	PUNCT
ejpam-2349	129	5	\	\	PROPN
ejpam-2349	129	6	γ	γ	PROPN
ejpam-2349	129	7	p	p	NOUN
ejpam-2349	129	8	a	a	DET
ejpam-2349	129	9	(	(	PUNCT
ejpam-2349	129	10	x	x	NOUN
ejpam-2349	129	11	)	)	PUNCT
ejpam-2349	129	12	�	�	PROPN
ejpam-2349	129	13	∪	∪	ADP
ejpam-2349	129	14	�	�	PROPN
ejpam-2349	129	15	γp	γp	ADP
ejpam-2349	129	16	c	c	PROPN
ejpam-2349	129	17	(	(	PUNCT
ejpam-2349	129	18	x	x	NOUN
ejpam-2349	129	19	)	)	PUNCT
ejpam-2349	129	20	\	\	PROPN
ejpam-2349	129	21	γ	γ	PROPN
ejpam-2349	129	22	p	p	PROPN
ejpam-2349	129	23	b	b	PROPN
ejpam-2349	129	24	(	(	PUNCT
ejpam-2349	129	25	x	x	NOUN
ejpam-2349	129	26	)	)	PUNCT
ejpam-2349	129	27	�	�	PROPN
ejpam-2349	129	28	=	=	SYM
ejpam-2349	129	29	�	�	PROPN
ejpam-2349	129	30	γp	γp	PROPN
ejpam-2349	129	31	a	a	DET
ejpam-2349	129	32	�	�	PROPN
ejpam-2349	129	33	c	c	NOUN
ejpam-2349	129	34	γp	γp	NOUN
ejpam-2349	129	35	c	c	PROPN
ejpam-2349	130	1	(	(	PUNCT
ejpam-2349	130	2	x)∪	x)∪	PROPN
ejpam-2349	130	3	�	�	PROPN
ejpam-2349	130	4	γp	γp	PROPN
ejpam-2349	130	5	b	b	PROPN
ejpam-2349	130	6	�	�	PROPN
ejpam-2349	130	7	c	c	PROPN
ejpam-2349	130	8	γp	γp	PROPN
ejpam-2349	130	9	c	c	PROPN
ejpam-2349	130	10	(	(	PUNCT
ejpam-2349	130	11	x	x	NOUN
ejpam-2349	130	12	)	)	PUNCT
ejpam-2349	130	13	.	.	PUNCT
ejpam-2349	131	1	definition	definition	NOUN
ejpam-2349	131	2	11	11	NUM
ejpam-2349	131	3	.	.	PUNCT
ejpam-2349	132	1	let	let	VERB
ejpam-2349	132	2	γp	γp	PRON
ejpam-2349	132	3	a	a	DET
ejpam-2349	132	4	,	,	PUNCT
ejpam-2349	132	5	γp	γp	PROPN
ejpam-2349	132	6	b	b	PROPN
ejpam-2349	132	7	∈	∈	PROPN
ejpam-2349	132	8	pr	pr	NOUN
ejpam-2349	132	9	s	s	X
ejpam-2349	132	10	(	(	PUNCT
ejpam-2349	132	11	u	u	NOUN
ejpam-2349	132	12	)	)	PUNCT
ejpam-2349	132	13	.	.	PUNCT
ejpam-2349	133	1	then	then	ADV
ejpam-2349	133	2	the	the	DET
ejpam-2349	133	3	symmetric	symmetric	ADJ
ejpam-2349	133	4	difference	difference	NOUN
ejpam-2349	133	5	of	of	ADP
ejpam-2349	133	6	γp	γp	PROPN
ejpam-2349	133	7	a	a	PRON
ejpam-2349	133	8	and	and	CCONJ
ejpam-2349	133	9	γp	γp	PROPN
ejpam-2349	133	10	b	b	PROPN
ejpam-2349	133	11	,	,	PUNCT
ejpam-2349	133	12	denoted	denote	VERB
ejpam-2349	133	13	by	by	ADP
ejpam-2349	133	14	γp	γp	PROPN
ejpam-2349	133	15	a	a	DET
ejpam-2349	133	16	e∆γp	e∆γp	NOUN
ejpam-2349	133	17	b	b	NOUN
ejpam-2349	133	18	,	,	PUNCT
ejpam-2349	133	19	is	be	AUX
ejpam-2349	133	20	defined	define	VERB
ejpam-2349	133	21	by	by	ADP
ejpam-2349	133	22	its	its	PRON
ejpam-2349	133	23	probabilistic	probabilistic	ADJ
ejpam-2349	133	24	approximate	approximate	ADJ
ejpam-2349	133	25	functions	function	NOUN
ejpam-2349	133	26	:	:	PUNCT
ejpam-2349	133	27	γp	γp	PROPN
ejpam-2349	133	28	a	a	PRON
ejpam-2349	133	29	(	(	PUNCT
ejpam-2349	133	30	x)∆γ	x)∆γ	PROPN
ejpam-2349	133	31	p	p	PROPN
ejpam-2349	133	32	b	b	PROPN
ejpam-2349	133	33	(	(	PUNCT
ejpam-2349	133	34	x	x	NOUN
ejpam-2349	133	35	)	)	PUNCT
ejpam-2349	133	36	=	=	SYM
ejpam-2349	133	37	�	�	PROPN
ejpam-2349	133	38	γp	γp	VERB
ejpam-2349	133	39	a	a	DET
ejpam-2349	133	40	(	(	PUNCT
ejpam-2349	133	41	x	x	NOUN
ejpam-2349	133	42	)	)	PUNCT
ejpam-2349	133	43	\	\	PROPN
ejpam-2349	134	1	γ	γ	PROPN
ejpam-2349	134	2	p	p	PROPN
ejpam-2349	134	3	b	b	PROPN
ejpam-2349	134	4	(	(	PUNCT
ejpam-2349	134	5	x	x	NOUN
ejpam-2349	134	6	)	)	PUNCT
ejpam-2349	134	7	�	�	PROPN
ejpam-2349	134	8	∪	∪	ADP
ejpam-2349	134	9	�	�	PROPN
ejpam-2349	134	10	γp	γp	PROPN
ejpam-2349	134	11	b	b	PROPN
ejpam-2349	134	12	(	(	PUNCT
ejpam-2349	134	13	x	x	NOUN
ejpam-2349	134	14	)	)	PUNCT
ejpam-2349	134	15	\	\	PROPN
ejpam-2349	135	1	γ	γ	PROPN
ejpam-2349	135	2	p	p	NOUN
ejpam-2349	135	3	a	a	DET
ejpam-2349	135	4	(	(	PUNCT
ejpam-2349	135	5	x	x	NOUN
ejpam-2349	135	6	)	)	PUNCT
ejpam-2349	135	7	�	�	PROPN
ejpam-2349	135	8	,	,	PUNCT
ejpam-2349	135	9	for	for	ADP
ejpam-2349	135	10	all	all	DET
ejpam-2349	135	11	x	x	SYM
ejpam-2349	135	12	∈	∈	PROPN
ejpam-2349	135	13	e.	e.	PROPN
ejpam-2349	135	14	example	example	NOUN
ejpam-2349	135	15	9	9	X
ejpam-2349	135	16	.	.	PUNCT
ejpam-2349	136	1	let	let	VERB
ejpam-2349	136	2	us	we	PRON
ejpam-2349	136	3	consider	consider	VERB
ejpam-2349	136	4	example	example	NOUN
ejpam-2349	136	5	7	7	NUM
ejpam-2349	136	6	.	.	PUNCT
ejpam-2349	137	1	then	then	ADV
ejpam-2349	137	2	γp	γp	VERB
ejpam-2349	137	3	a	a	DET
ejpam-2349	137	4	e∆γp	e∆γp	NOUN
ejpam-2349	137	5	b	b	PROPN
ejpam-2349	137	6	=	=	SYM
ejpam-2349	137	7	�	�	PROPN
ejpam-2349	137	8	�	�	PROPN
ejpam-2349	137	9	x1	x1	PROPN
ejpam-2349	137	10	,	,	PUNCT
ejpam-2349	137	11	{	{	PUNCT
ejpam-2349	137	12	0.4	0.4	NUM
ejpam-2349	137	13	/	/	SYM
ejpam-2349	137	14	u1	u1	NOUN
ejpam-2349	137	15	}	}	PUNCT
ejpam-2349	137	16	�	�	PROPN
ejpam-2349	137	17	,	,	PUNCT
ejpam-2349	137	18	�	�	PROPN
ejpam-2349	137	19	x2	x2	PROPN
ejpam-2349	137	20	,	,	PUNCT
ejpam-2349	137	21	{	{	PUNCT
ejpam-2349	137	22	0.2	0.2	NUM
ejpam-2349	137	23	/	/	SYM
ejpam-2349	137	24	u1	u1	NOUN
ejpam-2349	137	25	,	,	PUNCT
ejpam-2349	137	26	0.4	0.4	NUM
ejpam-2349	137	27	/	/	SYM
ejpam-2349	137	28	u2	u2	NOUN
ejpam-2349	137	29	,	,	PUNCT
ejpam-2349	137	30	0.1	0.1	NUM
ejpam-2349	137	31	/	/	SYM
ejpam-2349	137	32	u3	u3	NOUN
ejpam-2349	137	33	,	,	PUNCT
ejpam-2349	137	34	0.1	0.1	NUM
ejpam-2349	137	35	/	/	SYM
ejpam-2349	137	36	u4	u4	PROPN
ejpam-2349	137	37	}	}	PUNCT
ejpam-2349	137	38	�	�	PROPN
ejpam-2349	137	39	�	�	PROPN
ejpam-2349	137	40	x4	x4	PROPN
ejpam-2349	137	41	,	,	PUNCT
ejpam-2349	137	42	{	{	PUNCT
ejpam-2349	137	43	0.2	0.2	NUM
ejpam-2349	137	44	/	/	SYM
ejpam-2349	137	45	u4	u4	PROPN
ejpam-2349	137	46	,	,	PUNCT
ejpam-2349	137	47	0.2	0.2	NUM
ejpam-2349	137	48	/	/	SYM
ejpam-2349	137	49	u5	u5	PROPN
ejpam-2349	137	50	}	}	PUNCT
ejpam-2349	137	51	�	�	PROPN
ejpam-2349	137	52	.	.	PUNCT
ejpam-2349	137	53	is	be	AUX
ejpam-2349	137	54	obtained	obtain	VERB
ejpam-2349	137	55	.	.	PUNCT
ejpam-2349	138	1	references	reference	NOUN
ejpam-2349	138	2	339	339	NUM
ejpam-2349	138	3	proposition	proposition	NOUN
ejpam-2349	138	4	6	6	NUM
ejpam-2349	138	5	.	.	PUNCT
ejpam-2349	139	1	let	let	VERB
ejpam-2349	139	2	γp	γp	PRON
ejpam-2349	139	3	a	a	DET
ejpam-2349	139	4	,	,	PUNCT
ejpam-2349	139	5	γp	γp	PROPN
ejpam-2349	139	6	b	b	PROPN
ejpam-2349	139	7	,	,	PUNCT
ejpam-2349	139	8	γp	γp	PROPN
ejpam-2349	139	9	c	c	PROPN
ejpam-2349	139	10	∈	∈	PROPN
ejpam-2349	139	11	pr	pr	NOUN
ejpam-2349	139	12	s	s	NOUN
ejpam-2349	139	13	(	(	PUNCT
ejpam-2349	139	14	u	u	NOUN
ejpam-2349	139	15	)	)	PUNCT
ejpam-2349	139	16	.	.	PUNCT
ejpam-2349	140	1	the	the	DET
ejpam-2349	140	2	following	follow	VERB
ejpam-2349	140	3	conditions	condition	NOUN
ejpam-2349	140	4	are	be	AUX
ejpam-2349	140	5	satisfied	satisfied	ADJ
ejpam-2349	140	6	:	:	PUNCT
ejpam-2349	140	7	(	(	PUNCT
ejpam-2349	140	8	i	i	NOUN
ejpam-2349	140	9	)	)	PUNCT
ejpam-2349	140	10	γp	γp	ADP
ejpam-2349	140	11	a	a	DET
ejpam-2349	140	12	e∆γp	e∆γp	NOUN
ejpam-2349	140	13	b	b	NOUN
ejpam-2349	140	14	=	=	SYM
ejpam-2349	140	15	γ	γ	X
ejpam-2349	140	16	p	p	PROPN
ejpam-2349	140	17	b	b	PROPN
ejpam-2349	140	18	e∆γp	e∆γp	NOUN
ejpam-2349	140	19	a	a	DET
ejpam-2349	140	20	(	(	PUNCT
ejpam-2349	140	21	ii	ii	NOUN
ejpam-2349	140	22	)	)	PUNCT
ejpam-2349	140	23	�	�	PROPN
ejpam-2349	140	24	γp	γp	ADP
ejpam-2349	140	25	a	a	DET
ejpam-2349	140	26	e∆γp	e∆γp	NOUN
ejpam-2349	140	27	b	b	PROPN
ejpam-2349	140	28	�	�	PROPN
ejpam-2349	140	29	e∆γp	e∆γp	NOUN
ejpam-2349	140	30	c	c	NOUN
ejpam-2349	140	31	=	=	SYM
ejpam-2349	140	32	γ	γ	X
ejpam-2349	140	33	p	p	NOUN
ejpam-2349	140	34	a	a	DET
ejpam-2349	140	35	e∆	e∆	PROPN
ejpam-2349	140	36	�	�	PROPN
ejpam-2349	140	37	γp	γp	ADP
ejpam-2349	140	38	b	b	PROPN
ejpam-2349	140	39	e∆γp	e∆γp	X
ejpam-2349	140	40	c	c	PROPN
ejpam-2349	140	41	�	�	PROPN
ejpam-2349	140	42	(	(	PUNCT
ejpam-2349	140	43	iii	iii	PROPN
ejpam-2349	140	44	)	)	PUNCT
ejpam-2349	140	45	γp	γp	ADP
ejpam-2349	140	46	a	a	DET
ejpam-2349	140	47	=	=	SYM
ejpam-2349	140	48	γ	γ	PROPN
ejpam-2349	140	49	p	p	NOUN
ejpam-2349	140	50	b⇔	b⇔	PROPN
ejpam-2349	140	51	γp	γp	ADP
ejpam-2349	140	52	a	a	DET
ejpam-2349	140	53	e∆γp	e∆γp	NOUN
ejpam-2349	140	54	b	b	NOUN
ejpam-2349	140	55	=	=	SYM
ejpam-2349	140	56	γ	γ	X
ejpam-2349	140	57	p	p	PROPN
ejpam-2349	140	58	φ	φ	PROPN
ejpam-2349	140	59	.	.	PUNCT
ejpam-2349	141	1	proof	proof	NOUN
ejpam-2349	141	2	.	.	PUNCT
ejpam-2349	142	1	the	the	DET
ejpam-2349	142	2	proofs	proof	NOUN
ejpam-2349	142	3	can	can	AUX
ejpam-2349	142	4	be	be	AUX
ejpam-2349	142	5	proved	prove	VERB
ejpam-2349	142	6	easily	easily	ADV
ejpam-2349	142	7	by	by	ADP
ejpam-2349	142	8	using	use	VERB
ejpam-2349	142	9	the	the	DET
ejpam-2349	142	10	respective	respective	ADJ
ejpam-2349	142	11	probabilistic	probabilistic	ADJ
ejpam-2349	142	12	approximate	approximate	ADJ
ejpam-2349	142	13	functions	function	NOUN
ejpam-2349	142	14	.	.	PUNCT
ejpam-2349	143	1	so	so	ADV
ejpam-2349	143	2	,	,	PUNCT
ejpam-2349	143	3	we	we	PRON
ejpam-2349	143	4	only	only	ADV
ejpam-2349	143	5	prove	prove	VERB
ejpam-2349	143	6	(	(	PUNCT
ejpam-2349	143	7	i	i	NOUN
ejpam-2349	143	8	)	)	PUNCT
ejpam-2349	143	9	case	case	NOUN
ejpam-2349	143	10	.	.	PUNCT
ejpam-2349	144	1	for	for	ADP
ejpam-2349	144	2	all	all	DET
ejpam-2349	144	3	x	x	SYM
ejpam-2349	144	4	∈	∈	PROPN
ejpam-2349	144	5	e	e	NOUN
ejpam-2349	144	6	,	,	PUNCT
ejpam-2349	144	7	γp	γp	AUX
ejpam-2349	144	8	a	a	PRON
ejpam-2349	144	9	(	(	PUNCT
ejpam-2349	144	10	x)∆γ	x)∆γ	PROPN
ejpam-2349	144	11	p	p	PROPN
ejpam-2349	144	12	b	b	PROPN
ejpam-2349	144	13	(	(	PUNCT
ejpam-2349	144	14	x	x	NOUN
ejpam-2349	144	15	)	)	PUNCT
ejpam-2349	144	16	=	=	SYM
ejpam-2349	144	17	�	�	PROPN
ejpam-2349	144	18	γp	γp	VERB
ejpam-2349	144	19	a	a	DET
ejpam-2349	144	20	(	(	PUNCT
ejpam-2349	144	21	x	x	NOUN
ejpam-2349	144	22	)	)	PUNCT
ejpam-2349	144	23	\	\	PROPN
ejpam-2349	145	1	γ	γ	PROPN
ejpam-2349	145	2	p	p	PROPN
ejpam-2349	145	3	b	b	PROPN
ejpam-2349	145	4	(	(	PUNCT
ejpam-2349	145	5	x	x	NOUN
ejpam-2349	145	6	)	)	PUNCT
ejpam-2349	145	7	�	�	PROPN
ejpam-2349	145	8	∪	∪	ADP
ejpam-2349	145	9	�	�	PROPN
ejpam-2349	145	10	γp	γp	PROPN
ejpam-2349	145	11	b	b	PROPN
ejpam-2349	145	12	(	(	PUNCT
ejpam-2349	145	13	x	x	NOUN
ejpam-2349	145	14	)	)	PUNCT
ejpam-2349	145	15	\	\	PROPN
ejpam-2349	146	1	γ	γ	PROPN
ejpam-2349	146	2	p	p	NOUN
ejpam-2349	146	3	a	a	PRON
ejpam-2349	146	4	(	(	PUNCT
ejpam-2349	146	5	x	x	NOUN
ejpam-2349	146	6	)	)	PUNCT
ejpam-2349	146	7	�	�	PROPN
ejpam-2349	146	8	=	=	SYM
ejpam-2349	146	9	�	�	PROPN
ejpam-2349	146	10	γp	γp	PROPN
ejpam-2349	146	11	b	b	PROPN
ejpam-2349	146	12	(	(	PUNCT
ejpam-2349	146	13	x	x	NOUN
ejpam-2349	146	14	)	)	PUNCT
ejpam-2349	146	15	\	\	PROPN
ejpam-2349	147	1	γ	γ	PROPN
ejpam-2349	147	2	p	p	NOUN
ejpam-2349	147	3	a	a	DET
ejpam-2349	147	4	(	(	PUNCT
ejpam-2349	147	5	x	x	NOUN
ejpam-2349	147	6	)	)	PUNCT
ejpam-2349	147	7	�	�	PROPN
ejpam-2349	147	8	∪	∪	ADP
ejpam-2349	147	9	�	�	PROPN
ejpam-2349	147	10	γp	γp	ADP
ejpam-2349	147	11	a	a	DET
ejpam-2349	147	12	(	(	PUNCT
ejpam-2349	147	13	x	x	NOUN
ejpam-2349	147	14	)	)	PUNCT
ejpam-2349	147	15	\	\	PROPN
ejpam-2349	147	16	γ	γ	PROPN
ejpam-2349	147	17	p	p	PROPN
ejpam-2349	147	18	b	b	PROPN
ejpam-2349	147	19	(	(	PUNCT
ejpam-2349	147	20	x	x	NOUN
ejpam-2349	147	21	)	)	PUNCT
ejpam-2349	147	22	�	�	PROPN
ejpam-2349	148	1	=	=	PRON
ejpam-2349	148	2	γp	γp	PROPN
ejpam-2349	148	3	b	b	PROPN
ejpam-2349	148	4	(	(	PUNCT
ejpam-2349	148	5	x)∆γ	x)∆γ	PROPN
ejpam-2349	148	6	p	p	X
ejpam-2349	148	7	a	a	DET
ejpam-2349	148	8	(	(	PUNCT
ejpam-2349	148	9	x	x	NOUN
ejpam-2349	148	10	)	)	PUNCT
ejpam-2349	148	11	i.e.	i.e.	X
ejpam-2349	148	12	,	,	PUNCT
ejpam-2349	148	13	γp	γp	ADP
ejpam-2349	148	14	a	a	DET
ejpam-2349	148	15	e∆γp	e∆γp	NOUN
ejpam-2349	148	16	b	b	NOUN
ejpam-2349	148	17	=	=	SYM
ejpam-2349	148	18	γ	γ	X
ejpam-2349	148	19	p	p	PROPN
ejpam-2349	148	20	b	b	PROPN
ejpam-2349	148	21	e∆γp	e∆γp	NOUN
ejpam-2349	148	22	a	a	PRON
ejpam-2349	148	23	is	be	AUX
ejpam-2349	148	24	obtained	obtain	VERB
ejpam-2349	148	25	.	.	PUNCT
ejpam-2349	149	1	4	4	X
ejpam-2349	149	2	.	.	X
ejpam-2349	149	3	conclusion	conclusion	NOUN
ejpam-2349	149	4	in	in	ADP
ejpam-2349	149	5	this	this	DET
ejpam-2349	149	6	paper	paper	NOUN
ejpam-2349	149	7	,	,	PUNCT
ejpam-2349	149	8	we	we	PRON
ejpam-2349	149	9	study	study	VERB
ejpam-2349	149	10	the	the	DET
ejpam-2349	149	11	theory	theory	NOUN
ejpam-2349	149	12	of	of	ADP
ejpam-2349	149	13	probabilistic	probabilistic	ADJ
ejpam-2349	149	14	soft	soft	ADJ
ejpam-2349	149	15	sets	set	NOUN
ejpam-2349	149	16	.	.	PUNCT
ejpam-2349	150	1	we	we	PRON
ejpam-2349	150	2	give	give	VERB
ejpam-2349	150	3	some	some	DET
ejpam-2349	150	4	operations	operation	NOUN
ejpam-2349	150	5	such	such	ADJ
ejpam-2349	150	6	as	as	ADP
ejpam-2349	150	7	union	union	NOUN
ejpam-2349	150	8	,	,	PUNCT
ejpam-2349	150	9	intersection	intersection	NOUN
ejpam-2349	150	10	,	,	PUNCT
ejpam-2349	150	11	difference	difference	NOUN
ejpam-2349	150	12	and	and	CCONJ
ejpam-2349	150	13	symmetric	symmetric	ADJ
ejpam-2349	150	14	difference	difference	NOUN
ejpam-2349	150	15	.	.	PUNCT
ejpam-2349	151	1	we	we	PRON
ejpam-2349	151	2	prove	prove	VERB
ejpam-2349	151	3	that	that	SCONJ
ejpam-2349	151	4	certain	certain	ADJ
ejpam-2349	151	5	de	de	PROPN
ejpam-2349	151	6	morgan	morgan	PROPN
ejpam-2349	151	7	’s	’s	PART
ejpam-2349	151	8	laws	law	NOUN
ejpam-2349	151	9	hold	hold	VERB
ejpam-2349	151	10	in	in	ADP
ejpam-2349	151	11	probabilistic	probabilistic	ADJ
ejpam-2349	151	12	soft	soft	ADJ
ejpam-2349	151	13	set	set	NOUN
ejpam-2349	151	14	theory	theory	NOUN
ejpam-2349	151	15	with	with	ADP
ejpam-2349	151	16	respect	respect	NOUN
ejpam-2349	151	17	to	to	ADP
ejpam-2349	151	18	these	these	DET
ejpam-2349	151	19	new	new	ADJ
ejpam-2349	151	20	definitions	definition	NOUN
ejpam-2349	151	21	.	.	PUNCT
ejpam-2349	152	1	in	in	ADP
ejpam-2349	152	2	addition	addition	NOUN
ejpam-2349	152	3	,	,	PUNCT
ejpam-2349	152	4	this	this	DET
ejpam-2349	152	5	theory	theory	NOUN
ejpam-2349	152	6	not	not	PART
ejpam-2349	152	7	only	only	ADV
ejpam-2349	152	8	provides	provide	VERB
ejpam-2349	152	9	a	a	DET
ejpam-2349	152	10	significant	significant	ADJ
ejpam-2349	152	11	addition	addition	NOUN
ejpam-2349	152	12	to	to	ADP
ejpam-2349	152	13	existing	exist	VERB
ejpam-2349	152	14	theories	theory	NOUN
ejpam-2349	152	15	for	for	ADP
ejpam-2349	152	16	handling	handle	VERB
ejpam-2349	152	17	uncertainties	uncertainty	NOUN
ejpam-2349	152	18	,	,	PUNCT
ejpam-2349	152	19	but	but	CCONJ
ejpam-2349	152	20	also	also	ADV
ejpam-2349	152	21	leads	lead	VERB
ejpam-2349	152	22	to	to	ADP
ejpam-2349	152	23	potential	potential	ADJ
ejpam-2349	152	24	areas	area	NOUN
ejpam-2349	152	25	of	of	ADP
ejpam-2349	152	26	further	further	ADJ
ejpam-2349	152	27	research	research	NOUN
ejpam-2349	152	28	.	.	PUNCT
ejpam-2349	153	1	references	reference	NOUN
ejpam-2349	153	2	[	[	X
ejpam-2349	153	3	1	1	NUM
ejpam-2349	153	4	]	]	X
ejpam-2349	153	5	m.i	m.i	PROPN
ejpam-2349	153	6	.	.	PROPN
ejpam-2349	153	7	ali	ali	PROPN
ejpam-2349	153	8	,	,	PUNCT
ejpam-2349	153	9	f.	f.	PROPN
ejpam-2349	153	10	feng	feng	PROPN
ejpam-2349	153	11	,	,	PUNCT
ejpam-2349	153	12	x.	x.	PROPN
ejpam-2349	153	13	liu	liu	PROPN
ejpam-2349	153	14	,	,	PUNCT
ejpam-2349	153	15	w.k	w.k	PROPN
ejpam-2349	153	16	.	.	PROPN
ejpam-2349	153	17	min	min	PROPN
ejpam-2349	153	18	,	,	PUNCT
ejpam-2349	153	19	and	and	CCONJ
ejpam-2349	153	20	m.	m.	NOUN
ejpam-2349	153	21	shabir	shabir	PROPN
ejpam-2349	153	22	.	.	PUNCT
ejpam-2349	154	1	on	on	ADP
ejpam-2349	154	2	some	some	DET
ejpam-2349	154	3	new	new	ADJ
ejpam-2349	154	4	operations	operation	NOUN
ejpam-2349	154	5	in	in	ADP
ejpam-2349	154	6	soft	soft	ADJ
ejpam-2349	154	7	set	set	NOUN
ejpam-2349	154	8	theory	theory	NOUN
ejpam-2349	154	9	.	.	PUNCT
ejpam-2349	155	1	computers	computer	NOUN
ejpam-2349	155	2	&	&	CCONJ
ejpam-2349	155	3	mathematics	mathematics	PROPN
ejpam-2349	155	4	with	with	ADP
ejpam-2349	155	5	applications	application	NOUN
ejpam-2349	155	6	,	,	PUNCT
ejpam-2349	155	7	57(9):1547–1553	57(9):1547–1553	NUM
ejpam-2349	155	8	,	,	PUNCT
ejpam-2349	155	9	2009	2009	NUM
ejpam-2349	155	10	.	.	PUNCT
ejpam-2349	156	1	[	[	X
ejpam-2349	156	2	2	2	NUM
ejpam-2349	156	3	]	]	X
ejpam-2349	156	4	n.	n.	PROPN
ejpam-2349	156	5	çağman	çağman	PROPN
ejpam-2349	156	6	and	and	CCONJ
ejpam-2349	156	7	s.	s.	PROPN
ejpam-2349	156	8	enginoğlu	enginoğlu	PROPN
ejpam-2349	156	9	.	.	PUNCT
ejpam-2349	156	10	soft	soft	ADJ
ejpam-2349	156	11	set	set	NOUN
ejpam-2349	156	12	theory	theory	NOUN
ejpam-2349	156	13	and	and	CCONJ
ejpam-2349	156	14	uni	uni	ADJ
ejpam-2349	156	15	-	-	ADJ
ejpam-2349	156	16	int	int	NOUN
ejpam-2349	156	17	decision	decision	NOUN
ejpam-2349	156	18	making	making	NOUN
ejpam-2349	156	19	.	.	PUNCT
ejpam-2349	157	1	european	european	ADJ
ejpam-2349	157	2	journal	journal	PROPN
ejpam-2349	157	3	of	of	ADP
ejpam-2349	157	4	operational	operational	ADJ
ejpam-2349	157	5	research	research	NOUN
ejpam-2349	157	6	,	,	PUNCT
ejpam-2349	157	7	207(2):848–855	207(2):848–855	PROPN
ejpam-2349	157	8	,	,	PUNCT
ejpam-2349	157	9	2010	2010	NUM
ejpam-2349	157	10	.	.	PUNCT
ejpam-2349	158	1	[	[	X
ejpam-2349	158	2	3	3	X
ejpam-2349	158	3	]	]	X
ejpam-2349	158	4	p.k	p.k	PROPN
ejpam-2349	158	5	.	.	PROPN
ejpam-2349	158	6	maji	maji	PROPN
ejpam-2349	158	7	,	,	PUNCT
ejpam-2349	158	8	r.	r.	PROPN
ejpam-2349	158	9	bismas	bismas	PROPN
ejpam-2349	158	10	,	,	PUNCT
ejpam-2349	158	11	and	and	CCONJ
ejpam-2349	158	12	a.r	a.r	PROPN
ejpam-2349	158	13	roy	roy	PROPN
ejpam-2349	158	14	.	.	PROPN
ejpam-2349	158	15	soft	soft	ADJ
ejpam-2349	158	16	set	set	NOUN
ejpam-2349	158	17	theory	theory	NOUN
ejpam-2349	158	18	.	.	PUNCT
ejpam-2349	159	1	computers	computer	NOUN
ejpam-2349	159	2	&	&	CCONJ
ejpam-2349	159	3	mathematics	mathematics	PROPN
ejpam-2349	159	4	with	with	ADP
ejpam-2349	159	5	applications	application	NOUN
ejpam-2349	159	6	,	,	PUNCT
ejpam-2349	159	7	44(4	44(4	NOUN
ejpam-2349	159	8	-	-	SYM
ejpam-2349	159	9	5):555–562	5):555–562	NUM
ejpam-2349	159	10	,	,	PUNCT
ejpam-2349	159	11	2003	2003	NUM
ejpam-2349	159	12	.	.	PUNCT
ejpam-2349	160	1	[	[	X
ejpam-2349	160	2	4	4	X
ejpam-2349	160	3	]	]	X
ejpam-2349	160	4	p.k	p.k	PROPN
ejpam-2349	160	5	.	.	PROPN
ejpam-2349	160	6	maji	maji	PROPN
ejpam-2349	160	7	and	and	CCONJ
ejpam-2349	160	8	a.r	a.r	PROPN
ejpam-2349	160	9	.	.	PROPN
ejpam-2349	160	10	roy	roy	PROPN
ejpam-2349	160	11	.	.	PUNCT
ejpam-2349	161	1	an	an	DET
ejpam-2349	161	2	application	application	NOUN
ejpam-2349	161	3	of	of	ADP
ejpam-2349	161	4	soft	soft	ADJ
ejpam-2349	161	5	sets	set	NOUN
ejpam-2349	161	6	in	in	ADP
ejpam-2349	161	7	a	a	DET
ejpam-2349	161	8	decision	decision	NOUN
ejpam-2349	161	9	making	make	VERB
ejpam-2349	161	10	problem	problem	NOUN
ejpam-2349	161	11	.	.	PUNCT
ejpam-2349	162	1	computers	computer	NOUN
ejpam-2349	162	2	&	&	CCONJ
ejpam-2349	162	3	mathematics	mathematics	PROPN
ejpam-2349	162	4	with	with	ADP
ejpam-2349	162	5	applications	application	NOUN
ejpam-2349	162	6	,	,	PUNCT
ejpam-2349	162	7	44(8	44(8	NOUN
ejpam-2349	162	8	-	-	PUNCT
ejpam-2349	162	9	9):1077–1083	9):1077–1083	NOUN
ejpam-2349	162	10	,	,	PUNCT
ejpam-2349	162	11	2002	2002	NUM
ejpam-2349	162	12	.	.	PUNCT
ejpam-2349	163	1	[	[	X
ejpam-2349	163	2	5	5	X
ejpam-2349	163	3	]	]	PUNCT
ejpam-2349	163	4	d.	d.	PROPN
ejpam-2349	163	5	molodtsov	molodtsov	PROPN
ejpam-2349	163	6	.	.	PUNCT
ejpam-2349	164	1	soft	soft	ADJ
ejpam-2349	164	2	set	set	NOUN
ejpam-2349	164	3	theory	theory	NOUN
ejpam-2349	164	4	-	-	PUNCT
ejpam-2349	164	5	first	first	ADJ
ejpam-2349	164	6	results	result	NOUN
ejpam-2349	164	7	.	.	PUNCT
ejpam-2349	165	1	computers	computer	NOUN
ejpam-2349	165	2	and	and	CCONJ
ejpam-2349	165	3	mathematics	mathematic	NOUN
ejpam-2349	165	4	with	with	ADP
ejpam-2349	165	5	applications	application	NOUN
ejpam-2349	165	6	,	,	PUNCT
ejpam-2349	165	7	37(4	37(4	PROPN
ejpam-2349	165	8	-	-	PUNCT
ejpam-2349	165	9	5):19–31	5):19–31	NUM
ejpam-2349	165	10	,	,	PUNCT
ejpam-2349	165	11	1999	1999	NUM
ejpam-2349	165	12	.	.	PUNCT
ejpam-2349	166	1	[	[	X
ejpam-2349	166	2	6	6	NUM
ejpam-2349	166	3	]	]	PUNCT
ejpam-2349	166	4	a.	a.	NOUN
ejpam-2349	166	5	sezgin	sezgin	NOUN
ejpam-2349	166	6	and	and	CCONJ
ejpam-2349	166	7	a.o	a.o	PROPN
ejpam-2349	166	8	.	.	PROPN
ejpam-2349	166	9	atagün	atagün	NOUN
ejpam-2349	166	10	.	.	PUNCT
ejpam-2349	167	1	on	on	ADP
ejpam-2349	167	2	operations	operation	NOUN
ejpam-2349	167	3	of	of	ADP
ejpam-2349	167	4	soft	soft	ADJ
ejpam-2349	167	5	sets	set	NOUN
ejpam-2349	167	6	.	.	PUNCT
ejpam-2349	168	1	computers	computer	NOUN
ejpam-2349	168	2	&	&	CCONJ
ejpam-2349	168	3	mathematics	mathematics	PROPN
ejpam-2349	168	4	with	with	ADP
ejpam-2349	168	5	applications	application	NOUN
ejpam-2349	168	6	,	,	PUNCT
ejpam-2349	168	7	61(5):1457–1467	61(5):1457–1467	NUM
ejpam-2349	168	8	,	,	PUNCT
ejpam-2349	168	9	2011	2011	NUM
ejpam-2349	168	10	.	.	PUNCT
ejpam-2349	169	1	[	[	X
ejpam-2349	169	2	7	7	X
ejpam-2349	169	3	]	]	PUNCT
ejpam-2349	169	4	p.	p.	NOUN
ejpam-2349	169	5	zhu	zhu	PROPN
ejpam-2349	169	6	and	and	CCONJ
ejpam-2349	169	7	q.	q.	PROPN
ejpam-2349	169	8	wen	wen	PROPN
ejpam-2349	169	9	.	.	PROPN
ejpam-2349	170	1	probabilistic	probabilistic	ADJ
ejpam-2349	170	2	soft	soft	ADJ
ejpam-2349	170	3	sets	set	NOUN
ejpam-2349	170	4	.	.	PUNCT
ejpam-2349	171	1	in	in	ADP
ejpam-2349	171	2	ieee	ieee	PROPN
ejpam-2349	171	3	international	international	ADJ
ejpam-2349	171	4	conference	conference	NOUN
ejpam-2349	171	5	on	on	ADP
ejpam-2349	171	6	granular	granular	ADJ
ejpam-2349	171	7	computing	computing	NOUN
ejpam-2349	171	8	san	san	PROPN
ejpam-2349	171	9	jose	jose	PROPN
ejpam-2349	171	10	,	,	PUNCT
ejpam-2349	171	11	san	san	PROPN
ejpam-2349	171	12	jose	jose	PROPN
ejpam-2349	171	13	,	,	PUNCT
ejpam-2349	171	14	ca	ca	PROPN
ejpam-2349	171	15	,	,	PUNCT
ejpam-2349	171	16	2010	2010	NUM
ejpam-2349	171	17	.	.	PUNCT
ejpam-2349	172	1	ieee	ieee	PROPN
ejpam-2349	172	2	.	.	PUNCT
