id	sid	tid	token	lemma	pos
ejpam-3005	1	1	european	european	PROPN
ejpam-3005	1	2	journal	journal	PROPN
ejpam-3005	1	3	of	of	ADP
ejpam-3005	1	4	pure	pure	ADJ
ejpam-3005	1	5	and	and	CCONJ
ejpam-3005	1	6	applied	apply	VERB
ejpam-3005	1	7	mathematics	mathematic	NOUN
ejpam-3005	1	8	vol	vol	NOUN
ejpam-3005	1	9	.	.	PROPN
ejpam-3005	2	1	10	10	NUM
ejpam-3005	2	2	,	,	PUNCT
ejpam-3005	2	3	no	no	INTJ
ejpam-3005	2	4	.	.	NOUN
ejpam-3005	2	5	3	3	NUM
ejpam-3005	2	6	,	,	PUNCT
ejpam-3005	2	7	2017	2017	NUM
ejpam-3005	2	8	,	,	PUNCT
ejpam-3005	2	9	574	574	NUM
ejpam-3005	2	10	-	-	SYM
ejpam-3005	2	11	585	585	NUM
ejpam-3005	2	12	issn	issn	PROPN
ejpam-3005	2	13	1307	1307	NUM
ejpam-3005	2	14	-	-	SYM
ejpam-3005	2	15	5543	5543	NUM
ejpam-3005	2	16	–	–	PUNCT
ejpam-3005	3	1	www.ejpam.com	www.ejpam.com	X
ejpam-3005	3	2	published	publish	VERB
ejpam-3005	3	3	by	by	ADP
ejpam-3005	3	4	new	new	PROPN
ejpam-3005	3	5	york	york	PROPN
ejpam-3005	3	6	business	business	PROPN
ejpam-3005	3	7	global	global	ADJ
ejpam-3005	3	8	intuitionistic	intuitionistic	ADJ
ejpam-3005	3	9	fuzzy	fuzzy	ADJ
ejpam-3005	3	10	zweier	zweier	NOUN
ejpam-3005	3	11	i	i	NOUN
ejpam-3005	3	12	-	-	PUNCT
ejpam-3005	3	13	convergent	convergent	ADJ
ejpam-3005	3	14	double	double	ADJ
ejpam-3005	3	15	sequence	sequence	NOUN
ejpam-3005	3	16	spaces	space	NOUN
ejpam-3005	3	17	defined	define	VERB
ejpam-3005	3	18	by	by	ADP
ejpam-3005	3	19	orlicz	orlicz	ADJ
ejpam-3005	3	20	function	function	PROPN
ejpam-3005	3	21	vakeel	vakeel	PROPN
ejpam-3005	3	22	a.	a.	PROPN
ejpam-3005	3	23	khan1	khan1	PROPN
ejpam-3005	3	24	,	,	PUNCT
ejpam-3005	3	25	yasmeen1	yasmeen1	PROPN
ejpam-3005	3	26	,	,	PUNCT
ejpam-3005	3	27	hira	hira	PROPN
ejpam-3005	3	28	fatima1	fatima1	PROPN
ejpam-3005	3	29	,	,	PUNCT
ejpam-3005	3	30	ayaz	ayaz	PROPN
ejpam-3005	3	31	ahmad2,∗	ahmad2,∗	PROPN
ejpam-3005	3	32	1	1	NUM
ejpam-3005	3	33	department	department	NOUN
ejpam-3005	3	34	of	of	ADP
ejpam-3005	3	35	mathematics	mathematics	PROPN
ejpam-3005	3	36	,	,	PUNCT
ejpam-3005	3	37	aligarh	aligarh	PROPN
ejpam-3005	3	38	muslim	muslim	PROPN
ejpam-3005	3	39	university	university	PROPN
ejpam-3005	3	40	,	,	PUNCT
ejpam-3005	3	41	aligarh	aligarh	PROPN
ejpam-3005	3	42	,	,	PUNCT
ejpam-3005	3	43	india	india	PROPN
ejpam-3005	3	44	2	2	NUM
ejpam-3005	3	45	department	department	NOUN
ejpam-3005	3	46	of	of	ADP
ejpam-3005	3	47	mathematics	mathematic	NOUN
ejpam-3005	3	48	,	,	PUNCT
ejpam-3005	3	49	national	national	PROPN
ejpam-3005	3	50	institute	institute	PROPN
ejpam-3005	3	51	of	of	ADP
ejpam-3005	3	52	technology	technology	PROPN
ejpam-3005	3	53	,	,	PUNCT
ejpam-3005	3	54	patna	patna	PROPN
ejpam-3005	3	55	,	,	PUNCT
ejpam-3005	3	56	india	india	PROPN
ejpam-3005	3	57	abstract	abstract	NOUN
ejpam-3005	3	58	.	.	PUNCT
ejpam-3005	4	1	the	the	DET
ejpam-3005	4	2	purpose	purpose	NOUN
ejpam-3005	4	3	of	of	ADP
ejpam-3005	4	4	this	this	DET
ejpam-3005	4	5	paper	paper	NOUN
ejpam-3005	4	6	is	be	AUX
ejpam-3005	4	7	to	to	PART
ejpam-3005	4	8	introduce	introduce	VERB
ejpam-3005	4	9	the	the	DET
ejpam-3005	4	10	intuitionistic	intuitionistic	ADJ
ejpam-3005	4	11	fuzzy	fuzzy	ADJ
ejpam-3005	4	12	zweier	zweier	NOUN
ejpam-3005	4	13	i	i	NOUN
ejpam-3005	4	14	-	-	PUNCT
ejpam-3005	4	15	convergent	convergent	ADJ
ejpam-3005	4	16	double	double	ADJ
ejpam-3005	4	17	sequence	sequence	NOUN
ejpam-3005	4	18	spaces	space	VERB
ejpam-3005	4	19	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	4	20	)	)	PUNCT
ejpam-3005	4	21	and	and	CCONJ
ejpam-3005	4	22	2zi0(µ,ν)(m	2zi0(µ,ν)(m	NUM
ejpam-3005	4	23	)	)	PUNCT
ejpam-3005	4	24	defined	define	VERB
ejpam-3005	4	25	by	by	ADP
ejpam-3005	4	26	orlicz	orlicz	ADJ
ejpam-3005	4	27	function	function	NOUN
ejpam-3005	4	28	and	and	CCONJ
ejpam-3005	4	29	study	study	VERB
ejpam-3005	4	30	the	the	DET
ejpam-3005	4	31	fuzzy	fuzzy	ADJ
ejpam-3005	4	32	topology	topology	NOUN
ejpam-3005	4	33	on	on	ADP
ejpam-3005	4	34	the	the	DET
ejpam-3005	4	35	said	say	VERB
ejpam-3005	4	36	spaces	space	NOUN
ejpam-3005	4	37	.	.	PUNCT
ejpam-3005	5	1	key	key	ADJ
ejpam-3005	5	2	words	word	NOUN
ejpam-3005	5	3	and	and	CCONJ
ejpam-3005	5	4	phrases	phrase	NOUN
ejpam-3005	5	5	:	:	PUNCT
ejpam-3005	5	6	ideal	ideal	ADJ
ejpam-3005	5	7	,	,	PUNCT
ejpam-3005	5	8	filter	filter	NOUN
ejpam-3005	5	9	,	,	PUNCT
ejpam-3005	5	10	double	double	ADJ
ejpam-3005	5	11	i	i	NOUN
ejpam-3005	5	12	-	-	PUNCT
ejpam-3005	5	13	convergence	convergence	NOUN
ejpam-3005	5	14	,	,	PUNCT
ejpam-3005	5	15	intuitionistic	intuitionistic	ADJ
ejpam-3005	5	16	fuzzy	fuzzy	ADJ
ejpam-3005	5	17	normed	normed	ADJ
ejpam-3005	5	18	spaces	space	NOUN
ejpam-3005	5	19	.	.	PUNCT
ejpam-3005	6	1	1	1	X
ejpam-3005	6	2	.	.	X
ejpam-3005	6	3	introduction	introduction	NOUN
ejpam-3005	6	4	and	and	CCONJ
ejpam-3005	6	5	preliminaries	preliminary	NOUN
ejpam-3005	6	6	after	after	ADP
ejpam-3005	6	7	the	the	DET
ejpam-3005	6	8	pioneering	pioneering	ADJ
ejpam-3005	6	9	work	work	NOUN
ejpam-3005	6	10	of	of	ADP
ejpam-3005	6	11	zadeh	zadeh	PROPN
ejpam-3005	7	1	[	[	X
ejpam-3005	7	2	29	29	NUM
ejpam-3005	7	3	]	]	PUNCT
ejpam-3005	7	4	,	,	PUNCT
ejpam-3005	7	5	a	a	DET
ejpam-3005	7	6	huge	huge	ADJ
ejpam-3005	7	7	number	number	NOUN
ejpam-3005	7	8	of	of	ADP
ejpam-3005	7	9	research	research	NOUN
ejpam-3005	7	10	papers	paper	NOUN
ejpam-3005	7	11	have	have	AUX
ejpam-3005	7	12	been	be	AUX
ejpam-3005	7	13	appeared	appear	VERB
ejpam-3005	7	14	on	on	ADP
ejpam-3005	7	15	fuzzy	fuzzy	ADJ
ejpam-3005	7	16	theory	theory	NOUN
ejpam-3005	7	17	and	and	CCONJ
ejpam-3005	7	18	its	its	PRON
ejpam-3005	7	19	applications	application	NOUN
ejpam-3005	7	20	as	as	ADV
ejpam-3005	7	21	well	well	ADV
ejpam-3005	7	22	as	as	ADP
ejpam-3005	7	23	fuzzy	fuzzy	ADJ
ejpam-3005	7	24	analogues	analogue	NOUN
ejpam-3005	7	25	of	of	ADP
ejpam-3005	7	26	the	the	DET
ejpam-3005	7	27	classical	classical	ADJ
ejpam-3005	7	28	theories	theory	NOUN
ejpam-3005	7	29	.	.	PUNCT
ejpam-3005	8	1	fuzzy	fuzzy	ADJ
ejpam-3005	8	2	set	set	NOUN
ejpam-3005	8	3	theory	theory	NOUN
ejpam-3005	8	4	is	be	AUX
ejpam-3005	8	5	a	a	DET
ejpam-3005	8	6	powerful	powerful	ADJ
ejpam-3005	8	7	hand	hand	NOUN
ejpam-3005	8	8	set	set	NOUN
ejpam-3005	8	9	for	for	ADP
ejpam-3005	8	10	modelling	model	VERB
ejpam-3005	8	11	uncertainty	uncertainty	NOUN
ejpam-3005	8	12	and	and	CCONJ
ejpam-3005	8	13	vagueness	vagueness	NOUN
ejpam-3005	8	14	in	in	ADP
ejpam-3005	8	15	various	various	ADJ
ejpam-3005	8	16	problems	problem	NOUN
ejpam-3005	8	17	arising	arise	VERB
ejpam-3005	8	18	in	in	ADP
ejpam-3005	8	19	field	field	NOUN
ejpam-3005	8	20	of	of	ADP
ejpam-3005	8	21	science	science	NOUN
ejpam-3005	8	22	and	and	CCONJ
ejpam-3005	8	23	engineering	engineering	NOUN
ejpam-3005	8	24	.	.	PUNCT
ejpam-3005	9	1	it	it	PRON
ejpam-3005	9	2	has	have	VERB
ejpam-3005	9	3	a	a	DET
ejpam-3005	9	4	wide	wide	ADJ
ejpam-3005	9	5	range	range	NOUN
ejpam-3005	9	6	of	of	ADP
ejpam-3005	9	7	applications	application	NOUN
ejpam-3005	9	8	in	in	ADP
ejpam-3005	9	9	various	various	ADJ
ejpam-3005	9	10	fields	field	NOUN
ejpam-3005	9	11	:	:	PUNCT
ejpam-3005	9	12	population	population	NOUN
ejpam-3005	9	13	dynamics	dynamic	NOUN
ejpam-3005	9	14	[	[	X
ejpam-3005	9	15	3	3	NUM
ejpam-3005	9	16	]	]	PUNCT
ejpam-3005	9	17	,	,	PUNCT
ejpam-3005	9	18	chaos	chaos	NOUN
ejpam-3005	9	19	control	control	NOUN
ejpam-3005	10	1	[	[	X
ejpam-3005	10	2	5	5	NUM
ejpam-3005	10	3	]	]	PUNCT
ejpam-3005	10	4	,	,	PUNCT
ejpam-3005	10	5	computer	computer	NOUN
ejpam-3005	10	6	programming	programming	NOUN
ejpam-3005	10	7	[	[	X
ejpam-3005	10	8	6	6	NUM
ejpam-3005	10	9	]	]	PUNCT
ejpam-3005	10	10	,	,	PUNCT
ejpam-3005	10	11	nonlinear	nonlinear	ADJ
ejpam-3005	10	12	dynamical	dynamical	ADJ
ejpam-3005	10	13	system	system	NOUN
ejpam-3005	10	14	[	[	X
ejpam-3005	10	15	7	7	NUM
ejpam-3005	10	16	]	]	PUNCT
ejpam-3005	10	17	,	,	PUNCT
ejpam-3005	10	18	etc	etc	X
ejpam-3005	10	19	.	.	X
ejpam-3005	10	20	fuzzy	fuzzy	ADJ
ejpam-3005	10	21	topology	topology	NOUN
ejpam-3005	10	22	is	be	AUX
ejpam-3005	10	23	one	one	NUM
ejpam-3005	10	24	of	of	ADP
ejpam-3005	10	25	the	the	DET
ejpam-3005	10	26	most	most	ADV
ejpam-3005	10	27	important	important	ADJ
ejpam-3005	10	28	and	and	CCONJ
ejpam-3005	10	29	useful	useful	ADJ
ejpam-3005	10	30	tools	tool	NOUN
ejpam-3005	10	31	and	and	CCONJ
ejpam-3005	10	32	it	it	PRON
ejpam-3005	10	33	proves	prove	VERB
ejpam-3005	10	34	to	to	PART
ejpam-3005	10	35	be	be	AUX
ejpam-3005	10	36	very	very	ADV
ejpam-3005	10	37	useful	useful	ADJ
ejpam-3005	10	38	for	for	ADP
ejpam-3005	10	39	dealing	deal	VERB
ejpam-3005	10	40	with	with	ADP
ejpam-3005	10	41	such	such	ADJ
ejpam-3005	10	42	situations	situation	NOUN
ejpam-3005	10	43	where	where	SCONJ
ejpam-3005	10	44	the	the	DET
ejpam-3005	10	45	use	use	NOUN
ejpam-3005	10	46	of	of	ADP
ejpam-3005	10	47	classical	classical	ADJ
ejpam-3005	10	48	theories	theory	NOUN
ejpam-3005	10	49	breaks	break	VERB
ejpam-3005	10	50	down	down	ADP
ejpam-3005	10	51	.	.	PUNCT
ejpam-3005	11	1	the	the	DET
ejpam-3005	11	2	concept	concept	NOUN
ejpam-3005	11	3	of	of	ADP
ejpam-3005	11	4	intuitionistic	intuitionistic	ADJ
ejpam-3005	11	5	fuzzy	fuzzy	ADJ
ejpam-3005	11	6	normed	normed	ADJ
ejpam-3005	11	7	space	space	NOUN
ejpam-3005	11	8	[	[	X
ejpam-3005	11	9	25	25	NUM
ejpam-3005	11	10	]	]	PUNCT
ejpam-3005	11	11	and	and	CCONJ
ejpam-3005	11	12	of	of	ADP
ejpam-3005	11	13	intuitionistic	intuitionistic	ADJ
ejpam-3005	11	14	fuzzy	fuzzy	ADJ
ejpam-3005	11	15	2	2	NUM
ejpam-3005	11	16	-	-	PUNCT
ejpam-3005	11	17	normed	norme	VERB
ejpam-3005	11	18	space	space	NOUN
ejpam-3005	11	19	[	[	X
ejpam-3005	11	20	21	21	NUM
ejpam-3005	11	21	]	]	PUNCT
ejpam-3005	11	22	are	be	AUX
ejpam-3005	11	23	the	the	DET
ejpam-3005	11	24	latest	late	ADJ
ejpam-3005	11	25	developments	development	NOUN
ejpam-3005	11	26	in	in	ADP
ejpam-3005	11	27	fuzzy	fuzzy	ADJ
ejpam-3005	11	28	topology	topology	NOUN
ejpam-3005	11	29	.	.	PUNCT
ejpam-3005	12	1	recently	recently	ADV
ejpam-3005	12	2	v.	v.	ADP
ejpam-3005	12	3	a.	a.	PROPN
ejpam-3005	12	4	khan	khan	PROPN
ejpam-3005	12	5	and	and	CCONJ
ejpam-3005	12	6	yasmeen([12	yasmeen([12	PROPN
ejpam-3005	12	7	]	]	X
ejpam-3005	12	8	,	,	PUNCT
ejpam-3005	12	9	[	[	X
ejpam-3005	12	10	13	13	NUM
ejpam-3005	12	11	]	]	PUNCT
ejpam-3005	12	12	)	)	PUNCT
ejpam-3005	12	13	studied	study	VERB
ejpam-3005	12	14	the	the	DET
ejpam-3005	12	15	intuitionistic	intuitionistic	ADJ
ejpam-3005	12	16	fuzzy	fuzzy	ADJ
ejpam-3005	12	17	zweier	zweier	NOUN
ejpam-3005	12	18	i	i	NOUN
ejpam-3005	12	19	-	-	PUNCT
ejpam-3005	12	20	convergent	convergent	NOUN
ejpam-3005	12	21	sequence	sequence	NOUN
ejpam-3005	12	22	spaces	space	NOUN
ejpam-3005	12	23	defined	define	VERB
ejpam-3005	12	24	by	by	ADP
ejpam-3005	12	25	modulus	modulus	ADJ
ejpam-3005	12	26	function	function	NOUN
ejpam-3005	12	27	and	and	CCONJ
ejpam-3005	12	28	orlicz	orlicz	ADJ
ejpam-3005	12	29	function	function	NOUN
ejpam-3005	12	30	.	.	PUNCT
ejpam-3005	13	1	the	the	DET
ejpam-3005	13	2	notion	notion	NOUN
ejpam-3005	13	3	of	of	ADP
ejpam-3005	13	4	statistical	statistical	ADJ
ejpam-3005	13	5	convergence	convergence	NOUN
ejpam-3005	13	6	is	be	AUX
ejpam-3005	13	7	a	a	DET
ejpam-3005	13	8	very	very	ADV
ejpam-3005	13	9	useful	useful	ADJ
ejpam-3005	13	10	functional	functional	ADJ
ejpam-3005	13	11	tool	tool	NOUN
ejpam-3005	13	12	for	for	ADP
ejpam-3005	13	13	studying	study	VERB
ejpam-3005	13	14	the	the	DET
ejpam-3005	13	15	convergence	convergence	NOUN
ejpam-3005	13	16	problems	problem	NOUN
ejpam-3005	13	17	of	of	ADP
ejpam-3005	13	18	numerical	numerical	ADJ
ejpam-3005	13	19	problems	problem	NOUN
ejpam-3005	13	20	/	/	SYM
ejpam-3005	13	21	matrices(double	matrices(double	ADJ
ejpam-3005	13	22	sequences	sequence	NOUN
ejpam-3005	13	23	)	)	PUNCT
ejpam-3005	13	24	through	through	ADP
ejpam-3005	13	25	the	the	DET
ejpam-3005	13	26	concept	concept	NOUN
ejpam-3005	13	27	of	of	ADP
ejpam-3005	13	28	density	density	NOUN
ejpam-3005	13	29	.	.	PUNCT
ejpam-3005	14	1	the	the	DET
ejpam-3005	14	2	notion	notion	NOUN
ejpam-3005	14	3	of	of	ADP
ejpam-3005	14	4	i	i	NOUN
ejpam-3005	14	5	-	-	PUNCT
ejpam-3005	14	6	convergence	convergence	NOUN
ejpam-3005	14	7	,	,	PUNCT
ejpam-3005	14	8	which	which	PRON
ejpam-3005	14	9	is	be	AUX
ejpam-3005	14	10	a	a	DET
ejpam-3005	14	11	generalization	generalization	NOUN
ejpam-3005	14	12	of	of	ADP
ejpam-3005	14	13	statistical	statistical	ADJ
ejpam-3005	14	14	convergence	convergence	NOUN
ejpam-3005	14	15	[	[	X
ejpam-3005	14	16	4	4	NUM
ejpam-3005	14	17	]	]	PUNCT
ejpam-3005	14	18	,	,	PUNCT
ejpam-3005	14	19	was	be	AUX
ejpam-3005	14	20	introduced	introduce	VERB
ejpam-3005	14	21	by	by	ADP
ejpam-3005	14	22	kostyrko	kostyrko	PROPN
ejpam-3005	14	23	,	,	PUNCT
ejpam-3005	14	24	salat	salat	NOUN
ejpam-3005	14	25	and	and	CCONJ
ejpam-3005	14	26	wilczynski	wilczynski	VERB
ejpam-3005	14	27	[	[	X
ejpam-3005	14	28	14	14	NUM
ejpam-3005	14	29	]	]	PUNCT
ejpam-3005	14	30	by	by	ADP
ejpam-3005	14	31	using	use	VERB
ejpam-3005	14	32	the	the	DET
ejpam-3005	14	33	idea	idea	NOUN
ejpam-3005	14	34	of	of	ADP
ejpam-3005	14	35	i	i	PRON
ejpam-3005	14	36	of	of	ADP
ejpam-3005	14	37	subsets	subset	NOUN
ejpam-3005	14	38	of	of	ADP
ejpam-3005	14	39	the	the	DET
ejpam-3005	14	40	set	set	NOUN
ejpam-3005	14	41	of	of	ADP
ejpam-3005	14	42	natural	natural	ADJ
ejpam-3005	14	43	numbers	number	NOUN
ejpam-3005	14	44	n	n	ADV
ejpam-3005	14	45	and	and	CCONJ
ejpam-3005	14	46	further	far	ADV
ejpam-3005	14	47	studied	study	VERB
ejpam-3005	14	48	in	in	ADP
ejpam-3005	14	49	[	[	X
ejpam-3005	14	50	22	22	NUM
ejpam-3005	14	51	]	]	PUNCT
ejpam-3005	14	52	.	.	PUNCT
ejpam-3005	15	1	recently	recently	ADV
ejpam-3005	15	2	,	,	PUNCT
ejpam-3005	15	3	the	the	DET
ejpam-3005	15	4	notion	notion	NOUN
ejpam-3005	15	5	of	of	ADP
ejpam-3005	15	6	statistical	statistical	ADJ
ejpam-3005	15	7	convergence	convergence	NOUN
ejpam-3005	15	8	of	of	ADP
ejpam-3005	15	9	double	double	ADJ
ejpam-3005	15	10	sequences	sequence	NOUN
ejpam-3005	15	11	x	x	PUNCT
ejpam-3005	15	12	=	=	SYM
ejpam-3005	15	13	(	(	PUNCT
ejpam-3005	15	14	xij	xij	NOUN
ejpam-3005	15	15	)	)	PUNCT
ejpam-3005	15	16	has	have	AUX
ejpam-3005	15	17	been	be	AUX
ejpam-3005	15	18	defined	define	VERB
ejpam-3005	15	19	and	and	CCONJ
ejpam-3005	15	20	studied	study	VERB
ejpam-3005	15	21	by	by	ADP
ejpam-3005	15	22	mursaleen	mursaleen	NOUN
ejpam-3005	15	23	and	and	CCONJ
ejpam-3005	15	24	edely	edely	ADV
ejpam-3005	16	1	[	[	X
ejpam-3005	16	2	20	20	NUM
ejpam-3005	16	3	]	]	PUNCT
ejpam-3005	16	4	;	;	PUNCT
ejpam-3005	16	5	and	and	CCONJ
ejpam-3005	16	6	for	for	ADP
ejpam-3005	16	7	fuzzy	fuzzy	ADJ
ejpam-3005	16	8	numbers	number	NOUN
ejpam-3005	16	9	by	by	ADP
ejpam-3005	16	10	savaş	savaş	NOUN
ejpam-3005	16	11	and	and	CCONJ
ejpam-3005	16	12	mursaleen	mursaleen	NOUN
ejpam-3005	17	1	[	[	X
ejpam-3005	17	2	26	26	NUM
ejpam-3005	17	3	]	]	PUNCT
ejpam-3005	17	4	.	.	PUNCT
ejpam-3005	18	1	quite	quite	ADV
ejpam-3005	18	2	∗corresponding	∗corresponde	VERB
ejpam-3005	18	3	author	author	NOUN
ejpam-3005	18	4	.	.	PUNCT
ejpam-3005	19	1	email	email	NOUN
ejpam-3005	19	2	addresses	address	NOUN
ejpam-3005	19	3	:	:	PUNCT
ejpam-3005	19	4	vakhanmaths@gmail.com	vakhanmaths@gmail.com	X
ejpam-3005	19	5	(	(	PUNCT
ejpam-3005	19	6	v.	v.	ADP
ejpam-3005	19	7	a.	a.	PROPN
ejpam-3005	19	8	khan	khan	PROPN
ejpam-3005	19	9	)	)	PUNCT
ejpam-3005	19	10	,	,	PUNCT
ejpam-3005	19	11	yasmeen9828@gmail.com	yasmeen9828@gmail.com	X
ejpam-3005	19	12	(	(	PUNCT
ejpam-3005	19	13	yasmeen	yasmeen	PROPN
ejpam-3005	19	14	)	)	PUNCT
ejpam-3005	19	15	,	,	PUNCT
ejpam-3005	19	16	hirafatima2014@gmail.com	hirafatima2014@gmail.com	X
ejpam-3005	20	1	(	(	PUNCT
ejpam-3005	20	2	h.	h.	PROPN
ejpam-3005	20	3	fatima	fatima	PROPN
ejpam-3005	20	4	)	)	PUNCT
ejpam-3005	20	5	,	,	PUNCT
ejpam-3005	20	6	ayaz1970@gmail.com	ayaz1970@gmail.com	X
ejpam-3005	21	1	(	(	PUNCT
ejpam-3005	21	2	a.	a.	PROPN
ejpam-3005	21	3	ahmad	ahmad	PROPN
ejpam-3005	21	4	)	)	PUNCT
ejpam-3005	21	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3005	22	1	574	574	NUM
ejpam-3005	22	2	c	c	NOUN
ejpam-3005	22	3	©	©	PROPN
ejpam-3005	22	4	2017	2017	NUM
ejpam-3005	22	5	ejpam	ejpam	NOUN
ejpam-3005	22	6	all	all	DET
ejpam-3005	22	7	rights	right	NOUN
ejpam-3005	22	8	reserved	reserve	VERB
ejpam-3005	22	9	.	.	PUNCT
ejpam-3005	23	1	v.	v.	ADP
ejpam-3005	23	2	a.	a.	PROPN
ejpam-3005	23	3	khan	khan	PROPN
ejpam-3005	23	4	,	,	PUNCT
ejpam-3005	23	5	yasmeen	yasmeen	PROPN
ejpam-3005	23	6	,	,	PUNCT
ejpam-3005	23	7	h.	h.	PROPN
ejpam-3005	23	8	fatima	fatima	PROPN
ejpam-3005	23	9	,	,	PUNCT
ejpam-3005	23	10	a.	a.	PROPN
ejpam-3005	23	11	ahmad	ahmad	PROPN
ejpam-3005	23	12	/	/	SYM
ejpam-3005	23	13	eur	eur	PROPN
ejpam-3005	23	14	.	.	PUNCT
ejpam-3005	24	1	j.	j.	PROPN
ejpam-3005	24	2	pure	pure	PROPN
ejpam-3005	24	3	appl	appl	PROPN
ejpam-3005	24	4	.	.	PROPN
ejpam-3005	24	5	math	math	PROPN
ejpam-3005	24	6	,	,	PUNCT
ejpam-3005	24	7	10	10	NUM
ejpam-3005	24	8	(	(	PUNCT
ejpam-3005	24	9	3	3	NUM
ejpam-3005	24	10	)	)	PUNCT
ejpam-3005	24	11	(	(	PUNCT
ejpam-3005	24	12	2017	2017	NUM
ejpam-3005	24	13	)	)	PUNCT
ejpam-3005	24	14	,	,	PUNCT
ejpam-3005	24	15	574	574	NUM
ejpam-3005	24	16	-	-	SYM
ejpam-3005	24	17	585	585	NUM
ejpam-3005	24	18	575	575	NUM
ejpam-3005	24	19	recently	recently	ADV
ejpam-3005	24	20	,	,	PUNCT
ejpam-3005	24	21	das	das	PROPN
ejpam-3005	24	22	et	et	PROPN
ejpam-3005	24	23	al	al	PROPN
ejpam-3005	24	24	.	.	PUNCT
ejpam-3005	25	1	[	[	X
ejpam-3005	25	2	15	15	NUM
ejpam-3005	25	3	]	]	PUNCT
ejpam-3005	25	4	studied	study	VERB
ejpam-3005	25	5	the	the	DET
ejpam-3005	25	6	notion	notion	NOUN
ejpam-3005	25	7	of	of	ADP
ejpam-3005	25	8	i	i	PRON
ejpam-3005	25	9	and	and	CCONJ
ejpam-3005	25	10	i∗convergence	i∗convergence	NOUN
ejpam-3005	25	11	of	of	ADP
ejpam-3005	25	12	double	double	ADJ
ejpam-3005	25	13	sequences	sequence	NOUN
ejpam-3005	25	14	in	in	ADP
ejpam-3005	25	15	r.	r.	PROPN
ejpam-3005	25	16	we	we	PRON
ejpam-3005	25	17	recall	recall	VERB
ejpam-3005	25	18	some	some	DET
ejpam-3005	25	19	notations	notation	NOUN
ejpam-3005	25	20	and	and	CCONJ
ejpam-3005	25	21	basic	basic	ADJ
ejpam-3005	25	22	definitions	definition	NOUN
ejpam-3005	25	23	used	use	VERB
ejpam-3005	25	24	in	in	ADP
ejpam-3005	25	25	this	this	DET
ejpam-3005	25	26	paper	paper	NOUN
ejpam-3005	25	27	.	.	PUNCT
ejpam-3005	26	1	definition	definition	NOUN
ejpam-3005	26	2	1	1	NUM
ejpam-3005	26	3	.	.	PUNCT
ejpam-3005	27	1	let	let	VERB
ejpam-3005	27	2	i	i	PRON
ejpam-3005	27	3	⊂	⊂	PROPN
ejpam-3005	27	4	2n	2n	NUM
ejpam-3005	27	5	be	be	VERB
ejpam-3005	27	6	a	a	DET
ejpam-3005	27	7	non	non	ADJ
ejpam-3005	27	8	-	-	ADJ
ejpam-3005	27	9	trivial	trivial	ADJ
ejpam-3005	27	10	ideal	ideal	NOUN
ejpam-3005	27	11	in	in	ADP
ejpam-3005	27	12	n.	n.	PROPN
ejpam-3005	27	13	then	then	ADV
ejpam-3005	27	14	a	a	DET
ejpam-3005	27	15	sequence	sequence	NOUN
ejpam-3005	27	16	x	x	PUNCT
ejpam-3005	27	17	=	=	SYM
ejpam-3005	27	18	(	(	PUNCT
ejpam-3005	27	19	xk	xk	NOUN
ejpam-3005	27	20	)	)	PUNCT
ejpam-3005	27	21	is	be	AUX
ejpam-3005	27	22	said	say	VERB
ejpam-3005	27	23	to	to	PART
ejpam-3005	27	24	be	be	AUX
ejpam-3005	27	25	i	i	NOUN
ejpam-3005	27	26	-	-	NOUN
ejpam-3005	27	27	convergent	convergent	ADJ
ejpam-3005	27	28	to	to	ADP
ejpam-3005	27	29	a	a	DET
ejpam-3005	27	30	number	number	NOUN
ejpam-3005	27	31	l	l	NOUN
ejpam-3005	27	32	if	if	SCONJ
ejpam-3005	27	33	,	,	PUNCT
ejpam-3005	27	34	for	for	ADP
ejpam-3005	27	35	every	every	DET
ejpam-3005	27	36	ε	ε	PROPN
ejpam-3005	27	37	>	>	X
ejpam-3005	27	38	0	0	PROPN
ejpam-3005	27	39	,	,	PUNCT
ejpam-3005	27	40	the	the	DET
ejpam-3005	27	41	set	set	NOUN
ejpam-3005	27	42	{	{	PUNCT
ejpam-3005	27	43	k	k	PROPN
ejpam-3005	27	44	∈	∈	PROPN
ejpam-3005	28	1	n	n	CCONJ
ejpam-3005	28	2	:|	:|	PUNCT
ejpam-3005	28	3	xk	xk	PROPN
ejpam-3005	29	1	−	−	PROPN
ejpam-3005	29	2	l	l	PROPN
ejpam-3005	29	3	|≥	|≥	PROPN
ejpam-3005	29	4	ε	ε	PROPN
ejpam-3005	29	5	}	}	PUNCT
ejpam-3005	29	6	∈	∈	PROPN
ejpam-3005	29	7	i.	i.	NOUN
ejpam-3005	29	8	definition	definition	NOUN
ejpam-3005	29	9	2	2	X
ejpam-3005	29	10	.	.	PUNCT
ejpam-3005	30	1	let	let	VERB
ejpam-3005	30	2	i	i	PRON
ejpam-3005	30	3	⊂	⊂	PROPN
ejpam-3005	30	4	2n	2n	NUM
ejpam-3005	30	5	be	be	VERB
ejpam-3005	30	6	a	a	DET
ejpam-3005	30	7	non	non	ADJ
ejpam-3005	30	8	-	-	ADJ
ejpam-3005	30	9	trivial	trivial	ADJ
ejpam-3005	30	10	ideal	ideal	NOUN
ejpam-3005	30	11	in	in	ADP
ejpam-3005	30	12	n.	n.	PROPN
ejpam-3005	30	13	then	then	ADV
ejpam-3005	30	14	a	a	DET
ejpam-3005	30	15	sequence	sequence	NOUN
ejpam-3005	30	16	x	x	PUNCT
ejpam-3005	30	17	=	=	SYM
ejpam-3005	30	18	(	(	PUNCT
ejpam-3005	30	19	xk	xk	NOUN
ejpam-3005	30	20	)	)	PUNCT
ejpam-3005	30	21	is	be	AUX
ejpam-3005	30	22	said	say	VERB
ejpam-3005	30	23	to	to	PART
ejpam-3005	30	24	be	be	AUX
ejpam-3005	30	25	i	i	NOUN
ejpam-3005	30	26	-	-	NOUN
ejpam-3005	30	27	cauchy	cauchy	PROPN
ejpam-3005	30	28	if	if	SCONJ
ejpam-3005	30	29	,	,	PUNCT
ejpam-3005	30	30	for	for	ADP
ejpam-3005	30	31	each	each	DET
ejpam-3005	30	32	ε	ε	PROPN
ejpam-3005	30	33	>	>	X
ejpam-3005	30	34	0,there	0,there	PROPN
ejpam-3005	30	35	exists	exist	VERB
ejpam-3005	30	36	a	a	DET
ejpam-3005	30	37	number	number	NOUN
ejpam-3005	30	38	n	n	NOUN
ejpam-3005	30	39	=	=	SYM
ejpam-3005	30	40	n(ε	n(ε	NOUN
ejpam-3005	30	41	)	)	PUNCT
ejpam-3005	30	42	such	such	ADJ
ejpam-3005	30	43	that	that	SCONJ
ejpam-3005	30	44	the	the	DET
ejpam-3005	30	45	set	set	NOUN
ejpam-3005	30	46	{	{	PUNCT
ejpam-3005	30	47	k	k	PROPN
ejpam-3005	30	48	∈	∈	PROPN
ejpam-3005	30	49	n	n	CCONJ
ejpam-3005	30	50	:|	:|	PUNCT
ejpam-3005	30	51	xk	xk	PROPN
ejpam-3005	30	52	−	−	PROPN
ejpam-3005	30	53	xn	xn	PROPN
ejpam-3005	30	54	|≥	|≥	PROPN
ejpam-3005	30	55	ε	ε	PROPN
ejpam-3005	30	56	}	}	PUNCT
ejpam-3005	30	57	∈	∈	PROPN
ejpam-3005	30	58	i.	i.	NOUN
ejpam-3005	30	59	definition	definition	NOUN
ejpam-3005	30	60	3	3	NUM
ejpam-3005	30	61	.	.	PUNCT
ejpam-3005	31	1	the	the	DET
ejpam-3005	31	2	five	five	NUM
ejpam-3005	31	3	-	-	PUNCT
ejpam-3005	31	4	tuple	tuple	NOUN
ejpam-3005	31	5	(	(	PUNCT
ejpam-3005	31	6	x,µ	x,µ	NOUN
ejpam-3005	31	7	,	,	PUNCT
ejpam-3005	31	8	ν	ν	NOUN
ejpam-3005	31	9	,	,	PUNCT
ejpam-3005	31	10	∗	∗	NOUN
ejpam-3005	31	11	,	,	PUNCT
ejpam-3005	31	12	�	�	PROPN
ejpam-3005	31	13	)	)	PUNCT
ejpam-3005	31	14	is	be	AUX
ejpam-3005	31	15	said	say	VERB
ejpam-3005	31	16	to	to	PART
ejpam-3005	31	17	be	be	AUX
ejpam-3005	31	18	an	an	DET
ejpam-3005	31	19	intuitionistic	intuitionistic	ADJ
ejpam-3005	31	20	fuzzy	fuzzy	ADJ
ejpam-3005	31	21	normed	norme	VERB
ejpam-3005	31	22	space(for	space(for	PROPN
ejpam-3005	31	23	short	short	ADJ
ejpam-3005	31	24	,	,	PUNCT
ejpam-3005	31	25	ifns	ifns	NOUN
ejpam-3005	31	26	)	)	PUNCT
ejpam-3005	31	27	if	if	SCONJ
ejpam-3005	31	28	x	x	PRON
ejpam-3005	31	29	is	be	AUX
ejpam-3005	31	30	a	a	DET
ejpam-3005	31	31	vector	vector	NOUN
ejpam-3005	31	32	space	space	NOUN
ejpam-3005	31	33	,	,	PUNCT
ejpam-3005	31	34	∗	∗	PROPN
ejpam-3005	31	35	is	be	AUX
ejpam-3005	31	36	a	a	DET
ejpam-3005	31	37	continuous	continuous	ADJ
ejpam-3005	31	38	t	t	NOUN
ejpam-3005	31	39	-	-	PUNCT
ejpam-3005	31	40	norm	norm	NOUN
ejpam-3005	31	41	,	,	PUNCT
ejpam-3005	31	42	�	�	PROPN
ejpam-3005	31	43	is	be	AUX
ejpam-3005	31	44	a	a	DET
ejpam-3005	31	45	continuous	continuous	ADJ
ejpam-3005	31	46	t	t	NOUN
ejpam-3005	31	47	-	-	PUNCT
ejpam-3005	31	48	conorm	conorm	NOUN
ejpam-3005	31	49	and	and	CCONJ
ejpam-3005	31	50	µ	µ	NOUN
ejpam-3005	31	51	,	,	PUNCT
ejpam-3005	31	52	ν	ν	NOUN
ejpam-3005	31	53	are	be	AUX
ejpam-3005	31	54	fuzzy	fuzzy	ADJ
ejpam-3005	31	55	sets	set	NOUN
ejpam-3005	31	56	on	on	ADP
ejpam-3005	31	57	x	x	SYM
ejpam-3005	31	58	×	×	NOUN
ejpam-3005	31	59	(	(	PUNCT
ejpam-3005	31	60	0,∞	0,∞	NOUN
ejpam-3005	31	61	)	)	PUNCT
ejpam-3005	31	62	satisfying	satisfy	VERB
ejpam-3005	31	63	the	the	DET
ejpam-3005	31	64	following	follow	VERB
ejpam-3005	31	65	conditions	condition	NOUN
ejpam-3005	31	66	for	for	ADP
ejpam-3005	31	67	every	every	DET
ejpam-3005	31	68	x	x	NOUN
ejpam-3005	31	69	,	,	PUNCT
ejpam-3005	31	70	y	y	PROPN
ejpam-3005	31	71	∈	∈	PROPN
ejpam-3005	31	72	x	x	X
ejpam-3005	31	73	and	and	CCONJ
ejpam-3005	31	74	s	s	PROPN
ejpam-3005	31	75	,	,	PUNCT
ejpam-3005	31	76	t	t	X
ejpam-3005	31	77	>	>	X
ejpam-3005	31	78	0	0	NUM
ejpam-3005	32	1	:	:	PUNCT
ejpam-3005	32	2	(	(	PUNCT
ejpam-3005	32	3	a	a	X
ejpam-3005	32	4	)	)	PUNCT
ejpam-3005	32	5	µ(x	µ(x	PROPN
ejpam-3005	32	6	,	,	PUNCT
ejpam-3005	32	7	t	t	PROPN
ejpam-3005	32	8	)	)	PUNCT
ejpam-3005	32	9	+	+	CCONJ
ejpam-3005	33	1	ν(x	ν(x	PROPN
ejpam-3005	33	2	,	,	PUNCT
ejpam-3005	33	3	t	t	PROPN
ejpam-3005	33	4	)	)	PUNCT
ejpam-3005	33	5	≤	≤	NOUN
ejpam-3005	33	6	1	1	NUM
ejpam-3005	33	7	,	,	PUNCT
ejpam-3005	33	8	(	(	PUNCT
ejpam-3005	33	9	b	b	NOUN
ejpam-3005	33	10	)	)	PUNCT
ejpam-3005	33	11	µ(x	µ(x	PROPN
ejpam-3005	33	12	,	,	PUNCT
ejpam-3005	33	13	t	t	PROPN
ejpam-3005	33	14	)	)	PUNCT
ejpam-3005	33	15	>	>	X
ejpam-3005	33	16	0	0	NUM
ejpam-3005	33	17	,	,	PUNCT
ejpam-3005	33	18	(	(	PUNCT
ejpam-3005	33	19	c	c	NOUN
ejpam-3005	33	20	)	)	PUNCT
ejpam-3005	33	21	µ(x	µ(x	PROPN
ejpam-3005	33	22	,	,	PUNCT
ejpam-3005	33	23	t	t	NOUN
ejpam-3005	33	24	)	)	PUNCT
ejpam-3005	33	25	=	=	SYM
ejpam-3005	33	26	1	1	NUM
ejpam-3005	33	27	if	if	SCONJ
ejpam-3005	33	28	and	and	CCONJ
ejpam-3005	33	29	only	only	ADV
ejpam-3005	33	30	if	if	SCONJ
ejpam-3005	33	31	x	x	SYM
ejpam-3005	33	32	=	=	SYM
ejpam-3005	33	33	0	0	NUM
ejpam-3005	33	34	,	,	PUNCT
ejpam-3005	33	35	(	(	PUNCT
ejpam-3005	33	36	d	d	X
ejpam-3005	33	37	)	)	PUNCT
ejpam-3005	33	38	µ(αx	µ(αx	PROPN
ejpam-3005	33	39	,	,	PUNCT
ejpam-3005	33	40	t	t	NOUN
ejpam-3005	33	41	)	)	PUNCT
ejpam-3005	33	42	=	=	SYM
ejpam-3005	33	43	µ(x	µ(x	VERB
ejpam-3005	33	44	,	,	PUNCT
ejpam-3005	33	45	t	t	PROPN
ejpam-3005	33	46	|α|	|α|	PROPN
ejpam-3005	33	47	)	)	PUNCT
ejpam-3005	33	48	for	for	ADP
ejpam-3005	33	49	each	each	DET
ejpam-3005	33	50	α	α	NOUN
ejpam-3005	33	51	6=	6=	PROPN
ejpam-3005	33	52	0	0	NUM
ejpam-3005	33	53	,	,	PUNCT
ejpam-3005	33	54	(	(	PUNCT
ejpam-3005	33	55	e	e	NOUN
ejpam-3005	33	56	)	)	PUNCT
ejpam-3005	33	57	µ(x	µ(x	PROPN
ejpam-3005	33	58	,	,	PUNCT
ejpam-3005	33	59	t	t	NOUN
ejpam-3005	33	60	)	)	PUNCT
ejpam-3005	33	61	∗	∗	PROPN
ejpam-3005	33	62	µ(y	µ(y	PROPN
ejpam-3005	33	63	,	,	PUNCT
ejpam-3005	33	64	s	s	NOUN
ejpam-3005	33	65	)	)	PUNCT
ejpam-3005	33	66	≤	≤	NOUN
ejpam-3005	33	67	µ(x+	µ(x+	PROPN
ejpam-3005	33	68	y	y	PROPN
ejpam-3005	33	69	,	,	PUNCT
ejpam-3005	33	70	t+	t+	NOUN
ejpam-3005	33	71	s	s	NOUN
ejpam-3005	33	72	)	)	PUNCT
ejpam-3005	33	73	,	,	PUNCT
ejpam-3005	33	74	(	(	PUNCT
ejpam-3005	33	75	f	f	X
ejpam-3005	33	76	)	)	PUNCT
ejpam-3005	33	77	µ(x	µ(x	VERB
ejpam-3005	33	78	,	,	PUNCT
ejpam-3005	33	79	.	.	PUNCT
ejpam-3005	33	80	)	)	PUNCT
ejpam-3005	33	81	:	:	PUNCT
ejpam-3005	34	1	(	(	PUNCT
ejpam-3005	34	2	0,∞)→	0,∞)→	NOUN
ejpam-3005	34	3	[	[	X
ejpam-3005	34	4	0	0	NUM
ejpam-3005	34	5	,	,	PUNCT
ejpam-3005	34	6	1	1	NUM
ejpam-3005	34	7	]	]	PUNCT
ejpam-3005	34	8	is	be	AUX
ejpam-3005	34	9	continuous	continuous	ADJ
ejpam-3005	34	10	,	,	PUNCT
ejpam-3005	34	11	(	(	PUNCT
ejpam-3005	34	12	g	g	NOUN
ejpam-3005	34	13	)	)	PUNCT
ejpam-3005	34	14	lim	lim	PROPN
ejpam-3005	34	15	t→∞	t→∞	ADP
ejpam-3005	34	16	µ(x	µ(x	PROPN
ejpam-3005	34	17	,	,	PUNCT
ejpam-3005	34	18	t	t	NOUN
ejpam-3005	34	19	)	)	PUNCT
ejpam-3005	34	20	=	=	SYM
ejpam-3005	34	21	1	1	NUM
ejpam-3005	34	22	and	and	CCONJ
ejpam-3005	34	23	lim	lim	PROPN
ejpam-3005	34	24	t→0	t→0	PUNCT
ejpam-3005	34	25	µ(x	µ(x	PROPN
ejpam-3005	34	26	,	,	PUNCT
ejpam-3005	34	27	t	t	PROPN
ejpam-3005	34	28	)	)	PUNCT
ejpam-3005	34	29	=	=	SYM
ejpam-3005	35	1	0	0	NUM
ejpam-3005	35	2	,	,	PUNCT
ejpam-3005	35	3	(	(	PUNCT
ejpam-3005	35	4	h	h	NOUN
ejpam-3005	35	5	)	)	PUNCT
ejpam-3005	35	6	ν(x	ν(x	PROPN
ejpam-3005	35	7	,	,	PUNCT
ejpam-3005	35	8	t	t	PROPN
ejpam-3005	35	9	)	)	PUNCT
ejpam-3005	35	10	<	<	X
ejpam-3005	35	11	1	1	NUM
ejpam-3005	35	12	,	,	PUNCT
ejpam-3005	35	13	(	(	PUNCT
ejpam-3005	35	14	i	i	NOUN
ejpam-3005	35	15	)	)	PUNCT
ejpam-3005	35	16	ν(x	ν(x	PROPN
ejpam-3005	35	17	,	,	PUNCT
ejpam-3005	35	18	t	t	NOUN
ejpam-3005	35	19	)	)	PUNCT
ejpam-3005	35	20	=	=	SYM
ejpam-3005	35	21	0	0	PUNCT
ejpam-3005	36	1	if	if	SCONJ
ejpam-3005	36	2	and	and	CCONJ
ejpam-3005	36	3	only	only	ADV
ejpam-3005	36	4	if	if	SCONJ
ejpam-3005	36	5	x	x	SYM
ejpam-3005	36	6	=	=	SYM
ejpam-3005	36	7	0	0	NUM
ejpam-3005	36	8	,	,	PUNCT
ejpam-3005	36	9	(	(	PUNCT
ejpam-3005	36	10	j	j	NOUN
ejpam-3005	36	11	)	)	PUNCT
ejpam-3005	36	12	ν(αx	ν(αx	PROPN
ejpam-3005	36	13	,	,	PUNCT
ejpam-3005	36	14	t	t	PROPN
ejpam-3005	36	15	)	)	PUNCT
ejpam-3005	36	16	=	=	SYM
ejpam-3005	37	1	ν(x	ν(x	PROPN
ejpam-3005	37	2	,	,	PUNCT
ejpam-3005	37	3	t	t	PROPN
ejpam-3005	37	4	|α|	|α|	PROPN
ejpam-3005	37	5	)	)	PUNCT
ejpam-3005	37	6	for	for	ADP
ejpam-3005	37	7	each	each	DET
ejpam-3005	37	8	α	α	NOUN
ejpam-3005	37	9	6=	6=	PROPN
ejpam-3005	37	10	0	0	NUM
ejpam-3005	37	11	,	,	PUNCT
ejpam-3005	37	12	(	(	PUNCT
ejpam-3005	37	13	k	k	X
ejpam-3005	37	14	)	)	PUNCT
ejpam-3005	37	15	ν(x	ν(x	PROPN
ejpam-3005	37	16	,	,	PUNCT
ejpam-3005	37	17	t	t	PROPN
ejpam-3005	37	18	)	)	PUNCT
ejpam-3005	37	19	�	�	PROPN
ejpam-3005	37	20	ν(y	ν(y	PROPN
ejpam-3005	37	21	,	,	PUNCT
ejpam-3005	37	22	s	s	NOUN
ejpam-3005	37	23	)	)	PUNCT
ejpam-3005	37	24	≥	≥	PROPN
ejpam-3005	37	25	ν(x+	ν(x+	PROPN
ejpam-3005	37	26	y	y	PROPN
ejpam-3005	37	27	,	,	PUNCT
ejpam-3005	37	28	t+	t+	NOUN
ejpam-3005	37	29	s	s	NOUN
ejpam-3005	37	30	)	)	PUNCT
ejpam-3005	37	31	,	,	PUNCT
ejpam-3005	37	32	(	(	PUNCT
ejpam-3005	37	33	l	l	NOUN
ejpam-3005	37	34	)	)	PUNCT
ejpam-3005	37	35	ν(x	ν(x	PROPN
ejpam-3005	37	36	,	,	PUNCT
ejpam-3005	37	37	.	.	PUNCT
ejpam-3005	37	38	)	)	PUNCT
ejpam-3005	37	39	:	:	PUNCT
ejpam-3005	37	40	(	(	PUNCT
ejpam-3005	37	41	0,∞)→	0,∞)→	NOUN
ejpam-3005	38	1	[	[	X
ejpam-3005	38	2	0	0	NUM
ejpam-3005	38	3	,	,	PUNCT
ejpam-3005	38	4	1	1	NUM
ejpam-3005	38	5	]	]	PUNCT
ejpam-3005	38	6	is	be	AUX
ejpam-3005	38	7	continuous	continuous	ADJ
ejpam-3005	38	8	,	,	PUNCT
ejpam-3005	38	9	(	(	PUNCT
ejpam-3005	38	10	m	m	NOUN
ejpam-3005	38	11	)	)	PUNCT
ejpam-3005	38	12	lim	lim	PROPN
ejpam-3005	38	13	t→∞	t→∞	NUM
ejpam-3005	39	1	ν(x	ν(x	PROPN
ejpam-3005	39	2	,	,	PUNCT
ejpam-3005	39	3	t	t	PROPN
ejpam-3005	39	4	)	)	PUNCT
ejpam-3005	39	5	=	=	SYM
ejpam-3005	39	6	0	0	NUM
ejpam-3005	39	7	and	and	CCONJ
ejpam-3005	39	8	lim	lim	PROPN
ejpam-3005	39	9	t→0	t→0	PUNCT
ejpam-3005	39	10	ν(x	ν(x	PROPN
ejpam-3005	39	11	,	,	PUNCT
ejpam-3005	39	12	t	t	PROPN
ejpam-3005	39	13	)	)	PUNCT
ejpam-3005	39	14	=	=	SYM
ejpam-3005	40	1	1	1	X
ejpam-3005	40	2	.	.	PUNCT
ejpam-3005	40	3	in	in	ADP
ejpam-3005	40	4	this	this	DET
ejpam-3005	40	5	case	case	NOUN
ejpam-3005	40	6	(	(	PUNCT
ejpam-3005	40	7	µ	µ	NOUN
ejpam-3005	40	8	,	,	PUNCT
ejpam-3005	40	9	ν	ν	NOUN
ejpam-3005	40	10	)	)	PUNCT
ejpam-3005	40	11	is	be	AUX
ejpam-3005	40	12	called	call	VERB
ejpam-3005	40	13	an	an	DET
ejpam-3005	40	14	intuitionistic	intuitionistic	ADJ
ejpam-3005	40	15	fuzzy	fuzzy	ADJ
ejpam-3005	40	16	norm	norm	NOUN
ejpam-3005	40	17	.	.	PUNCT
ejpam-3005	41	1	definition	definition	NOUN
ejpam-3005	41	2	4	4	NUM
ejpam-3005	41	3	.	.	PUNCT
ejpam-3005	42	1	let	let	AUX
ejpam-3005	42	2	(	(	PUNCT
ejpam-3005	42	3	x,µ	x,µ	NOUN
ejpam-3005	42	4	,	,	PUNCT
ejpam-3005	42	5	ν	ν	NOUN
ejpam-3005	42	6	,	,	PUNCT
ejpam-3005	42	7	∗	∗	NOUN
ejpam-3005	42	8	,	,	PUNCT
ejpam-3005	42	9	�	�	PROPN
ejpam-3005	42	10	)	)	PUNCT
ejpam-3005	42	11	be	be	VERB
ejpam-3005	42	12	an	an	DET
ejpam-3005	42	13	ifns	ifns	NOUN
ejpam-3005	42	14	.	.	PUNCT
ejpam-3005	43	1	then	then	ADV
ejpam-3005	43	2	a	a	DET
ejpam-3005	43	3	sequence	sequence	NOUN
ejpam-3005	43	4	x	x	PUNCT
ejpam-3005	43	5	=	=	SYM
ejpam-3005	43	6	(	(	PUNCT
ejpam-3005	43	7	xk	xk	NOUN
ejpam-3005	43	8	)	)	PUNCT
ejpam-3005	43	9	is	be	AUX
ejpam-3005	43	10	said	say	VERB
ejpam-3005	43	11	to	to	PART
ejpam-3005	43	12	be	be	AUX
ejpam-3005	43	13	convergent	convergent	ADJ
ejpam-3005	43	14	to	to	ADP
ejpam-3005	43	15	l	l	NOUN
ejpam-3005	43	16	∈	∈	PROPN
ejpam-3005	43	17	x	x	PUNCT
ejpam-3005	43	18	with	with	ADP
ejpam-3005	43	19	respect	respect	NOUN
ejpam-3005	43	20	to	to	ADP
ejpam-3005	43	21	the	the	DET
ejpam-3005	43	22	intuitionistic	intuitionistic	ADJ
ejpam-3005	43	23	fuzzy	fuzzy	ADJ
ejpam-3005	43	24	norm	norm	NOUN
ejpam-3005	43	25	(	(	PUNCT
ejpam-3005	43	26	µ	µ	NOUN
ejpam-3005	43	27	,	,	PUNCT
ejpam-3005	43	28	ν	ν	NOUN
ejpam-3005	43	29	)	)	PUNCT
ejpam-3005	43	30	if	if	SCONJ
ejpam-3005	43	31	,	,	PUNCT
ejpam-3005	43	32	for	for	ADP
ejpam-3005	43	33	every	every	DET
ejpam-3005	43	34	ε	ε	PROPN
ejpam-3005	43	35	>	>	X
ejpam-3005	43	36	0	0	PROPN
ejpam-3005	43	37	and	and	CCONJ
ejpam-3005	43	38	t	t	PROPN
ejpam-3005	43	39	>	>	X
ejpam-3005	43	40	0	0	PROPN
ejpam-3005	43	41	,	,	PUNCT
ejpam-3005	43	42	there	there	PRON
ejpam-3005	43	43	exists	exist	VERB
ejpam-3005	43	44	k0	k0	PROPN
ejpam-3005	43	45	∈	∈	PROPN
ejpam-3005	43	46	n	n	CCONJ
ejpam-3005	43	47	such	such	ADJ
ejpam-3005	43	48	that	that	SCONJ
ejpam-3005	43	49	µ(xk	µ(xk	X
ejpam-3005	43	50	−	−	PROPN
ejpam-3005	43	51	l	l	PROPN
ejpam-3005	43	52	,	,	PUNCT
ejpam-3005	43	53	t	t	PROPN
ejpam-3005	43	54	)	)	PUNCT
ejpam-3005	43	55	>	>	X
ejpam-3005	43	56	1	1	NUM
ejpam-3005	43	57	−	−	PROPN
ejpam-3005	43	58	ε	ε	PROPN
ejpam-3005	43	59	and	and	CCONJ
ejpam-3005	43	60	ν(xk	ν(xk	PROPN
ejpam-3005	43	61	−	−	PROPN
ejpam-3005	43	62	l	l	PROPN
ejpam-3005	43	63	,	,	PUNCT
ejpam-3005	43	64	t	t	PROPN
ejpam-3005	43	65	)	)	PUNCT
ejpam-3005	43	66	<	<	X
ejpam-3005	43	67	ε	ε	PROPN
ejpam-3005	43	68	for	for	ADP
ejpam-3005	43	69	all	all	DET
ejpam-3005	43	70	k	k	PROPN
ejpam-3005	43	71	≥	≥	PROPN
ejpam-3005	43	72	k0	k0	PROPN
ejpam-3005	43	73	.	.	PUNCT
ejpam-3005	44	1	in	in	ADP
ejpam-3005	44	2	this	this	DET
ejpam-3005	44	3	case	case	NOUN
ejpam-3005	44	4	we	we	PRON
ejpam-3005	44	5	write	write	VERB
ejpam-3005	44	6	(	(	PUNCT
ejpam-3005	44	7	µ	µ	NOUN
ejpam-3005	44	8	,	,	PUNCT
ejpam-3005	44	9	ν)−	ν)−	PROPN
ejpam-3005	44	10	limx	limx	PROPN
ejpam-3005	44	11	=	=	PUNCT
ejpam-3005	44	12	l.	l.	PROPN
ejpam-3005	44	13	definition	definition	NOUN
ejpam-3005	44	14	5	5	NUM
ejpam-3005	44	15	.	.	PUNCT
ejpam-3005	45	1	let	let	AUX
ejpam-3005	45	2	(	(	PUNCT
ejpam-3005	45	3	x,µ	x,µ	NOUN
ejpam-3005	45	4	,	,	PUNCT
ejpam-3005	45	5	ν	ν	NOUN
ejpam-3005	45	6	,	,	PUNCT
ejpam-3005	45	7	∗	∗	NOUN
ejpam-3005	45	8	,	,	PUNCT
ejpam-3005	45	9	�	�	PROPN
ejpam-3005	45	10	)	)	PUNCT
ejpam-3005	45	11	be	be	VERB
ejpam-3005	45	12	an	an	DET
ejpam-3005	45	13	ifns	ifns	NOUN
ejpam-3005	45	14	.	.	PUNCT
ejpam-3005	46	1	then	then	ADV
ejpam-3005	46	2	a	a	DET
ejpam-3005	46	3	sequence	sequence	NOUN
ejpam-3005	46	4	x	x	PUNCT
ejpam-3005	46	5	=	=	SYM
ejpam-3005	46	6	(	(	PUNCT
ejpam-3005	46	7	xk	xk	NOUN
ejpam-3005	46	8	)	)	PUNCT
ejpam-3005	46	9	is	be	AUX
ejpam-3005	46	10	said	say	VERB
ejpam-3005	46	11	to	to	PART
ejpam-3005	46	12	be	be	AUX
ejpam-3005	46	13	a	a	DET
ejpam-3005	46	14	cauchy	cauchy	ADJ
ejpam-3005	46	15	sequence	sequence	NOUN
ejpam-3005	46	16	with	with	ADP
ejpam-3005	46	17	respect	respect	NOUN
ejpam-3005	46	18	to	to	ADP
ejpam-3005	46	19	the	the	DET
ejpam-3005	46	20	intuitionistic	intuitionistic	ADJ
ejpam-3005	46	21	fuzzy	fuzzy	ADJ
ejpam-3005	46	22	norm	norm	NOUN
ejpam-3005	46	23	(	(	PUNCT
ejpam-3005	46	24	µ	µ	NOUN
ejpam-3005	46	25	,	,	PUNCT
ejpam-3005	46	26	ν	ν	NOUN
ejpam-3005	46	27	)	)	PUNCT
ejpam-3005	46	28	if	if	SCONJ
ejpam-3005	46	29	,	,	PUNCT
ejpam-3005	46	30	for	for	ADP
ejpam-3005	46	31	every	every	DET
ejpam-3005	46	32	ε	ε	PROPN
ejpam-3005	46	33	>	>	X
ejpam-3005	46	34	0	0	PROPN
ejpam-3005	46	35	and	and	CCONJ
ejpam-3005	46	36	t	t	PROPN
ejpam-3005	46	37	>	>	X
ejpam-3005	46	38	0	0	PROPN
ejpam-3005	46	39	,	,	PUNCT
ejpam-3005	46	40	there	there	PRON
ejpam-3005	46	41	exists	exist	VERB
ejpam-3005	46	42	k0	k0	PROPN
ejpam-3005	46	43	∈	∈	PROPN
ejpam-3005	46	44	n	n	CCONJ
ejpam-3005	46	45	such	such	ADJ
ejpam-3005	46	46	that	that	SCONJ
ejpam-3005	46	47	µ(xk	µ(xk	X
ejpam-3005	46	48	−	−	PROPN
ejpam-3005	46	49	xl	xl	PROPN
ejpam-3005	46	50	,	,	PUNCT
ejpam-3005	46	51	t	t	PROPN
ejpam-3005	46	52	)	)	PUNCT
ejpam-3005	46	53	<	<	X
ejpam-3005	46	54	ε	ε	PROPN
ejpam-3005	46	55	and	and	CCONJ
ejpam-3005	46	56	ν(xk	ν(xk	PROPN
ejpam-3005	46	57	−	−	PROPN
ejpam-3005	46	58	xl	xl	PROPN
ejpam-3005	46	59	,	,	PUNCT
ejpam-3005	46	60	t	t	PROPN
ejpam-3005	46	61	)	)	PUNCT
ejpam-3005	46	62	<	<	X
ejpam-3005	46	63	ε	ε	PROPN
ejpam-3005	46	64	for	for	ADP
ejpam-3005	46	65	all	all	DET
ejpam-3005	46	66	k	k	PROPN
ejpam-3005	46	67	,	,	PUNCT
ejpam-3005	46	68	l	l	PROPN
ejpam-3005	46	69	≥	≥	PROPN
ejpam-3005	47	1	k0	k0	PROPN
ejpam-3005	47	2	.	.	PUNCT
ejpam-3005	47	3	definition	definition	NOUN
ejpam-3005	47	4	6	6	NUM
ejpam-3005	47	5	.	.	PUNCT
ejpam-3005	48	1	let	let	VERB
ejpam-3005	48	2	k	k	X
ejpam-3005	48	3	be	be	AUX
ejpam-3005	48	4	the	the	DET
ejpam-3005	48	5	subset	subset	NOUN
ejpam-3005	48	6	of	of	ADP
ejpam-3005	48	7	natural	natural	ADJ
ejpam-3005	48	8	numbers	number	NOUN
ejpam-3005	48	9	n.	n.	NOUN
ejpam-3005	48	10	then	then	ADV
ejpam-3005	48	11	the	the	DET
ejpam-3005	48	12	asymptotic	asymptotic	ADJ
ejpam-3005	48	13	density	density	NOUN
ejpam-3005	48	14	of	of	ADP
ejpam-3005	48	15	k	k	NOUN
ejpam-3005	48	16	,	,	PUNCT
ejpam-3005	48	17	denoted	denote	VERB
ejpam-3005	48	18	by	by	ADP
ejpam-3005	48	19	δ(k	δ(k	NOUN
ejpam-3005	48	20	)	)	PUNCT
ejpam-3005	48	21	,	,	PUNCT
ejpam-3005	48	22	is	be	AUX
ejpam-3005	48	23	defined	define	VERB
ejpam-3005	48	24	as	as	ADP
ejpam-3005	48	25	δ(k	δ(k	NOUN
ejpam-3005	48	26	)	)	PUNCT
ejpam-3005	49	1	=	=	SYM
ejpam-3005	49	2	lim	lim	PROPN
ejpam-3005	49	3	n	n	PROPN
ejpam-3005	49	4	1	1	NUM
ejpam-3005	49	5	n	n	NOUN
ejpam-3005	49	6	|{k	|{k	ADP
ejpam-3005	49	7	≤	≤	NOUN
ejpam-3005	49	8	n	n	NOUN
ejpam-3005	49	9	:	:	PUNCT
ejpam-3005	49	10	k	k	PROPN
ejpam-3005	49	11	∈	∈	PROPN
ejpam-3005	49	12	k}|	k}|	PROPN
ejpam-3005	49	13	,	,	PUNCT
ejpam-3005	49	14	where	where	SCONJ
ejpam-3005	49	15	the	the	DET
ejpam-3005	49	16	vertical	vertical	ADJ
ejpam-3005	49	17	bars	bar	NOUN
ejpam-3005	49	18	denotes	denote	VERB
ejpam-3005	49	19	the	the	DET
ejpam-3005	49	20	cardinality	cardinality	NOUN
ejpam-3005	49	21	of	of	ADP
ejpam-3005	49	22	the	the	DET
ejpam-3005	49	23	enclosed	enclose	VERB
ejpam-3005	49	24	set	set	NOUN
ejpam-3005	49	25	.	.	PUNCT
ejpam-3005	50	1	v.	v.	ADP
ejpam-3005	50	2	a.	a.	PROPN
ejpam-3005	50	3	khan	khan	PROPN
ejpam-3005	50	4	,	,	PUNCT
ejpam-3005	50	5	yasmeen	yasmeen	PROPN
ejpam-3005	50	6	,	,	PUNCT
ejpam-3005	50	7	h.	h.	PROPN
ejpam-3005	50	8	fatima	fatima	PROPN
ejpam-3005	50	9	,	,	PUNCT
ejpam-3005	50	10	a.	a.	PROPN
ejpam-3005	50	11	ahmad	ahmad	PROPN
ejpam-3005	50	12	/	/	SYM
ejpam-3005	50	13	eur	eur	PROPN
ejpam-3005	50	14	.	.	PUNCT
ejpam-3005	51	1	j.	j.	PROPN
ejpam-3005	51	2	pure	pure	PROPN
ejpam-3005	51	3	appl	appl	PROPN
ejpam-3005	51	4	.	.	PROPN
ejpam-3005	51	5	math	math	PROPN
ejpam-3005	51	6	,	,	PUNCT
ejpam-3005	51	7	10	10	NUM
ejpam-3005	51	8	(	(	PUNCT
ejpam-3005	51	9	3	3	NUM
ejpam-3005	51	10	)	)	PUNCT
ejpam-3005	51	11	(	(	PUNCT
ejpam-3005	51	12	2017	2017	NUM
ejpam-3005	51	13	)	)	PUNCT
ejpam-3005	51	14	,	,	PUNCT
ejpam-3005	51	15	574	574	NUM
ejpam-3005	51	16	-	-	SYM
ejpam-3005	51	17	585	585	NUM
ejpam-3005	51	18	576	576	NUM
ejpam-3005	51	19	a	a	DET
ejpam-3005	51	20	number	number	NOUN
ejpam-3005	51	21	sequence	sequence	NOUN
ejpam-3005	51	22	x	x	NOUN
ejpam-3005	51	23	=	=	SYM
ejpam-3005	51	24	(	(	PUNCT
ejpam-3005	51	25	xk	xk	NOUN
ejpam-3005	51	26	)	)	PUNCT
ejpam-3005	51	27	is	be	AUX
ejpam-3005	51	28	said	say	VERB
ejpam-3005	51	29	to	to	PART
ejpam-3005	51	30	be	be	AUX
ejpam-3005	51	31	statistically	statistically	ADV
ejpam-3005	51	32	convergent	convergent	ADJ
ejpam-3005	51	33	to	to	ADP
ejpam-3005	51	34	a	a	DET
ejpam-3005	51	35	number	number	NOUN
ejpam-3005	51	36	`	`	PUNCT
ejpam-3005	51	37	if	if	SCONJ
ejpam-3005	51	38	,	,	PUNCT
ejpam-3005	51	39	for	for	ADP
ejpam-3005	51	40	each	each	DET
ejpam-3005	51	41	ε	ε	PROPN
ejpam-3005	51	42	>	>	X
ejpam-3005	51	43	0	0	PROPN
ejpam-3005	51	44	,	,	PUNCT
ejpam-3005	51	45	the	the	DET
ejpam-3005	51	46	set	set	NOUN
ejpam-3005	51	47	k(ε	k(ε	PROPN
ejpam-3005	51	48	)	)	PUNCT
ejpam-3005	51	49	=	=	PRON
ejpam-3005	52	1	{	{	PUNCT
ejpam-3005	52	2	k	k	NOUN
ejpam-3005	52	3	≤	≤	PROPN
ejpam-3005	53	1	n	n	CCONJ
ejpam-3005	53	2	:|	:|	PUNCT
ejpam-3005	53	3	xk	xk	PROPN
ejpam-3005	54	1	−	−	PROPN
ejpam-3005	54	2	`	`	PUNCT
ejpam-3005	54	3	|	|	ADV
ejpam-3005	54	4	>	>	X
ejpam-3005	54	5	ε	ε	PROPN
ejpam-3005	54	6	}	}	PUNCT
ejpam-3005	54	7	has	have	VERB
ejpam-3005	54	8	asymptotic	asymptotic	ADJ
ejpam-3005	54	9	density	density	NOUN
ejpam-3005	54	10	zero	zero	NUM
ejpam-3005	54	11	,	,	PUNCT
ejpam-3005	54	12	i.e.	i.e.	X
ejpam-3005	54	13	lim	lim	PROPN
ejpam-3005	54	14	n	n	CCONJ
ejpam-3005	54	15	1	1	NUM
ejpam-3005	54	16	n	n	NOUN
ejpam-3005	54	17	|{k	|{k	ADP
ejpam-3005	54	18	≤	≤	NOUN
ejpam-3005	55	1	n	n	CCONJ
ejpam-3005	55	2	:|	:|	PUNCT
ejpam-3005	55	3	xk	xk	PROPN
ejpam-3005	56	1	−	−	PROPN
ejpam-3005	56	2	`	`	PUNCT
ejpam-3005	56	3	|	|	ADV
ejpam-3005	56	4	>	>	X
ejpam-3005	56	5	ε}|	ε}|	NOUN
ejpam-3005	56	6	=	=	SYM
ejpam-3005	56	7	0	0	X
ejpam-3005	56	8	.	.	PUNCT
ejpam-3005	57	1	in	in	ADP
ejpam-3005	57	2	this	this	DET
ejpam-3005	57	3	case	case	NOUN
ejpam-3005	57	4	we	we	PRON
ejpam-3005	57	5	write	write	VERB
ejpam-3005	57	6	st−	st−	PROPN
ejpam-3005	57	7	limx	limx	NOUN
ejpam-3005	57	8	=	=	PRON
ejpam-3005	57	9	`	`	PUNCT
ejpam-3005	57	10	.	.	PUNCT
ejpam-3005	58	1	definition	definition	NOUN
ejpam-3005	58	2	7	7	NUM
ejpam-3005	58	3	.	.	PUNCT
ejpam-3005	59	1	a	a	DET
ejpam-3005	59	2	number	number	NOUN
ejpam-3005	59	3	sequence	sequence	NOUN
ejpam-3005	59	4	x	x	NOUN
ejpam-3005	59	5	=	=	SYM
ejpam-3005	59	6	(	(	PUNCT
ejpam-3005	59	7	xk	xk	NOUN
ejpam-3005	59	8	)	)	PUNCT
ejpam-3005	59	9	is	be	AUX
ejpam-3005	59	10	said	say	VERB
ejpam-3005	59	11	to	to	PART
ejpam-3005	59	12	be	be	AUX
ejpam-3005	59	13	statistically	statistically	ADV
ejpam-3005	59	14	cauchy	cauchy	ADJ
ejpam-3005	59	15	sequence	sequence	NOUN
ejpam-3005	59	16	if	if	SCONJ
ejpam-3005	59	17	,	,	PUNCT
ejpam-3005	59	18	for	for	ADP
ejpam-3005	59	19	every	every	DET
ejpam-3005	59	20	ε	ε	PROPN
ejpam-3005	59	21	>	>	X
ejpam-3005	59	22	0	0	PROPN
ejpam-3005	59	23	,	,	PUNCT
ejpam-3005	59	24	there	there	PRON
ejpam-3005	59	25	exists	exist	VERB
ejpam-3005	59	26	a	a	DET
ejpam-3005	59	27	number	number	NOUN
ejpam-3005	59	28	n	n	NOUN
ejpam-3005	59	29	=	=	SYM
ejpam-3005	59	30	n(ε	n(ε	NOUN
ejpam-3005	59	31	)	)	PUNCT
ejpam-3005	60	1	such	such	ADJ
ejpam-3005	60	2	that	that	SCONJ
ejpam-3005	60	3	lim	lim	PROPN
ejpam-3005	60	4	n	n	CCONJ
ejpam-3005	60	5	1	1	NUM
ejpam-3005	60	6	n	n	NOUN
ejpam-3005	60	7	|{j	|{j	NOUN
ejpam-3005	60	8	≤	≤	NUM
ejpam-3005	60	9	n	n	CCONJ
ejpam-3005	60	10	:|	:|	NUM
ejpam-3005	60	11	xj	xj	PROPN
ejpam-3005	60	12	−	−	PROPN
ejpam-3005	61	1	xn	xn	PROPN
ejpam-3005	62	1	|≥	|≥	ADJ
ejpam-3005	62	2	ε}|	ε}|	NOUN
ejpam-3005	62	3	=	=	SYM
ejpam-3005	62	4	0	0	NUM
ejpam-3005	62	5	.	.	PUNCT
ejpam-3005	63	1	the	the	DET
ejpam-3005	63	2	concepts	concept	NOUN
ejpam-3005	63	3	of	of	ADP
ejpam-3005	63	4	statistical	statistical	ADJ
ejpam-3005	63	5	convergence	convergence	NOUN
ejpam-3005	63	6	and	and	CCONJ
ejpam-3005	63	7	statistical	statistical	ADJ
ejpam-3005	63	8	cauchy	cauchy	NOUN
ejpam-3005	63	9	for	for	ADP
ejpam-3005	63	10	double	double	ADJ
ejpam-3005	63	11	sequences	sequence	NOUN
ejpam-3005	63	12	in	in	ADP
ejpam-3005	63	13	intuitionistic	intuitionistic	ADJ
ejpam-3005	63	14	fuzzy	fuzzy	ADJ
ejpam-3005	63	15	normed	norme	VERB
ejpam-3005	63	16	spaces	space	NOUN
ejpam-3005	63	17	have	have	AUX
ejpam-3005	63	18	been	be	AUX
ejpam-3005	63	19	studied	study	VERB
ejpam-3005	63	20	by	by	ADP
ejpam-3005	63	21	mursaleen	mursaleen	PROPN
ejpam-3005	63	22	and	and	CCONJ
ejpam-3005	63	23	mohiuddine[14	mohiuddine[14	PROPN
ejpam-3005	63	24	]	]	PUNCT
ejpam-3005	63	25	.	.	PUNCT
ejpam-3005	64	1	definition	definition	NOUN
ejpam-3005	64	2	8	8	NUM
ejpam-3005	64	3	.	.	PUNCT
ejpam-3005	65	1	let	let	VERB
ejpam-3005	65	2	i	i	PRON
ejpam-3005	65	3	⊂	⊂	PROPN
ejpam-3005	65	4	2n	2n	NUM
ejpam-3005	65	5	be	be	AUX
ejpam-3005	65	6	a	a	DET
ejpam-3005	65	7	non	non	ADJ
ejpam-3005	65	8	trivial	trivial	ADJ
ejpam-3005	65	9	ideal	ideal	NOUN
ejpam-3005	65	10	and	and	CCONJ
ejpam-3005	65	11	(	(	PUNCT
ejpam-3005	65	12	x,µ	x,µ	NOUN
ejpam-3005	65	13	,	,	PUNCT
ejpam-3005	65	14	ν	ν	NOUN
ejpam-3005	65	15	,	,	PUNCT
ejpam-3005	65	16	∗	∗	NOUN
ejpam-3005	65	17	,	,	PUNCT
ejpam-3005	65	18	�	�	PROPN
ejpam-3005	65	19	)	)	PUNCT
ejpam-3005	65	20	be	be	VERB
ejpam-3005	65	21	an	an	DET
ejpam-3005	65	22	ifns	ifns	NOUN
ejpam-3005	65	23	.	.	PUNCT
ejpam-3005	66	1	a	a	DET
ejpam-3005	66	2	sequence	sequence	NOUN
ejpam-3005	66	3	x	x	PUNCT
ejpam-3005	66	4	=	=	SYM
ejpam-3005	66	5	(	(	PUNCT
ejpam-3005	66	6	xk	xk	NOUN
ejpam-3005	66	7	)	)	PUNCT
ejpam-3005	66	8	of	of	ADP
ejpam-3005	66	9	elements	element	NOUN
ejpam-3005	66	10	of	of	ADP
ejpam-3005	66	11	x	x	SYM
ejpam-3005	66	12	is	be	AUX
ejpam-3005	66	13	said	say	VERB
ejpam-3005	66	14	to	to	PART
ejpam-3005	66	15	be	be	AUX
ejpam-3005	66	16	i	i	NOUN
ejpam-3005	66	17	-	-	NOUN
ejpam-3005	66	18	convergent	convergent	ADJ
ejpam-3005	66	19	to	to	ADP
ejpam-3005	66	20	l	l	NOUN
ejpam-3005	66	21	∈	∈	PROPN
ejpam-3005	66	22	x	x	PUNCT
ejpam-3005	66	23	with	with	ADP
ejpam-3005	66	24	respect	respect	NOUN
ejpam-3005	66	25	to	to	ADP
ejpam-3005	66	26	the	the	DET
ejpam-3005	66	27	intuitionistic	intuitionistic	ADJ
ejpam-3005	66	28	fuzzy	fuzzy	ADJ
ejpam-3005	66	29	norm	norm	NOUN
ejpam-3005	66	30	(	(	PUNCT
ejpam-3005	66	31	µ	µ	NOUN
ejpam-3005	66	32	,	,	PUNCT
ejpam-3005	66	33	ν	ν	NOUN
ejpam-3005	66	34	)	)	PUNCT
ejpam-3005	66	35	if	if	SCONJ
ejpam-3005	66	36	for	for	ADP
ejpam-3005	66	37	every	every	DET
ejpam-3005	66	38	ε	ε	PROPN
ejpam-3005	66	39	>	>	X
ejpam-3005	66	40	0	0	PROPN
ejpam-3005	67	1	and	and	CCONJ
ejpam-3005	67	2	t	t	PROPN
ejpam-3005	67	3	>	>	X
ejpam-3005	67	4	0	0	NUM
ejpam-3005	67	5	,	,	PUNCT
ejpam-3005	67	6	the	the	DET
ejpam-3005	67	7	set	set	NOUN
ejpam-3005	67	8	{	{	PUNCT
ejpam-3005	67	9	k	k	PROPN
ejpam-3005	67	10	∈	∈	PROPN
ejpam-3005	67	11	n	n	CCONJ
ejpam-3005	67	12	:	:	PUNCT
ejpam-3005	67	13	µ(xk	µ(xk	X
ejpam-3005	67	14	−	−	PROPN
ejpam-3005	67	15	l	l	PROPN
ejpam-3005	67	16	,	,	PUNCT
ejpam-3005	67	17	t	t	PROPN
ejpam-3005	67	18	)	)	PUNCT
ejpam-3005	67	19	≥	≥	NOUN
ejpam-3005	67	20	1−	1−	NUM
ejpam-3005	67	21	ε	ε	PROPN
ejpam-3005	67	22	or	or	CCONJ
ejpam-3005	67	23	ν(xk	ν(xk	PROPN
ejpam-3005	67	24	−	−	PROPN
ejpam-3005	67	25	l	l	PROPN
ejpam-3005	67	26	,	,	PUNCT
ejpam-3005	67	27	t	t	PROPN
ejpam-3005	67	28	)	)	PUNCT
ejpam-3005	67	29	≤	≤	X
ejpam-3005	67	30	ε	ε	PROPN
ejpam-3005	67	31	}	}	PUNCT
ejpam-3005	67	32	∈	∈	PROPN
ejpam-3005	67	33	i.	i.	NOUN
ejpam-3005	67	34	in	in	ADP
ejpam-3005	67	35	this	this	DET
ejpam-3005	67	36	case	case	NOUN
ejpam-3005	68	1	l	l	NOUN
ejpam-3005	68	2	is	be	AUX
ejpam-3005	68	3	called	call	VERB
ejpam-3005	68	4	the	the	DET
ejpam-3005	68	5	i	i	NOUN
ejpam-3005	68	6	-	-	PUNCT
ejpam-3005	68	7	limit	limit	NOUN
ejpam-3005	68	8	of	of	ADP
ejpam-3005	68	9	the	the	DET
ejpam-3005	68	10	sequence	sequence	NOUN
ejpam-3005	68	11	(	(	PUNCT
ejpam-3005	68	12	xk	xk	PROPN
ejpam-3005	68	13	)	)	PUNCT
ejpam-3005	68	14	with	with	ADP
ejpam-3005	68	15	respect	respect	NOUN
ejpam-3005	68	16	to	to	ADP
ejpam-3005	68	17	the	the	DET
ejpam-3005	68	18	intuitionistic	intuitionistic	ADJ
ejpam-3005	68	19	fuzzy	fuzzy	ADJ
ejpam-3005	68	20	norm	norm	NOUN
ejpam-3005	68	21	(	(	PUNCT
ejpam-3005	68	22	µ	µ	NOUN
ejpam-3005	68	23	,	,	PUNCT
ejpam-3005	68	24	ν	ν	NOUN
ejpam-3005	68	25	)	)	PUNCT
ejpam-3005	68	26	and	and	CCONJ
ejpam-3005	68	27	we	we	PRON
ejpam-3005	68	28	write	write	VERB
ejpam-3005	68	29	i(µ,ν	i(µ,ν	NOUN
ejpam-3005	68	30	)	)	PUNCT
ejpam-3005	69	1	−	−	PROPN
ejpam-3005	69	2	limxk	limxk	NOUN
ejpam-3005	69	3	=	=	PUNCT
ejpam-3005	69	4	l.	l.	PROPN
ejpam-3005	69	5	2	2	NUM
ejpam-3005	69	6	.	.	PUNCT
ejpam-3005	70	1	i2	i2	NOUN
ejpam-3005	70	2	-	-	PUNCT
ejpam-3005	70	3	convergence	convergence	NOUN
ejpam-3005	70	4	in	in	ADP
ejpam-3005	70	5	an	an	DET
ejpam-3005	70	6	ifns	ifns	NOUN
ejpam-3005	70	7	definition	definition	NOUN
ejpam-3005	70	8	9	9	NUM
ejpam-3005	70	9	.	.	PUNCT
ejpam-3005	71	1	let	let	AUX
ejpam-3005	71	2	(	(	PUNCT
ejpam-3005	71	3	x,µ	x,µ	NOUN
ejpam-3005	71	4	,	,	PUNCT
ejpam-3005	71	5	ν	ν	NOUN
ejpam-3005	71	6	,	,	PUNCT
ejpam-3005	71	7	∗	∗	NOUN
ejpam-3005	71	8	,	,	PUNCT
ejpam-3005	71	9	�	�	PROPN
ejpam-3005	71	10	)	)	PUNCT
ejpam-3005	71	11	be	be	VERB
ejpam-3005	71	12	an	an	DET
ejpam-3005	71	13	ifns	ifns	NOUN
ejpam-3005	71	14	.	.	PUNCT
ejpam-3005	72	1	then	then	ADV
ejpam-3005	72	2	,	,	PUNCT
ejpam-3005	72	3	a	a	DET
ejpam-3005	72	4	double	double	ADJ
ejpam-3005	72	5	sequence	sequence	NOUN
ejpam-3005	72	6	x	x	PUNCT
ejpam-3005	73	1	=	=	SYM
ejpam-3005	73	2	(	(	PUNCT
ejpam-3005	73	3	xij	xij	X
ejpam-3005	73	4	)	)	PUNCT
ejpam-3005	73	5	is	be	AUX
ejpam-3005	73	6	said	say	VERB
ejpam-3005	73	7	to	to	PART
ejpam-3005	73	8	be	be	AUX
ejpam-3005	73	9	statistically	statistically	ADV
ejpam-3005	73	10	convergent	convergent	ADJ
ejpam-3005	73	11	to	to	ADP
ejpam-3005	73	12	l	l	NOUN
ejpam-3005	73	13	∈	∈	PROPN
ejpam-3005	73	14	x	x	PUNCT
ejpam-3005	73	15	with	with	ADP
ejpam-3005	73	16	respect	respect	NOUN
ejpam-3005	73	17	to	to	ADP
ejpam-3005	73	18	the	the	DET
ejpam-3005	73	19	intuitionistic	intuitionistic	ADJ
ejpam-3005	73	20	fuzzy	fuzzy	ADJ
ejpam-3005	73	21	norm	norm	NOUN
ejpam-3005	73	22	(	(	PUNCT
ejpam-3005	73	23	µ	µ	NOUN
ejpam-3005	73	24	,	,	PUNCT
ejpam-3005	73	25	ν	ν	NOUN
ejpam-3005	73	26	)	)	PUNCT
ejpam-3005	73	27	if	if	SCONJ
ejpam-3005	73	28	,	,	PUNCT
ejpam-3005	73	29	for	for	ADP
ejpam-3005	73	30	every	every	DET
ejpam-3005	73	31	ε	ε	PROPN
ejpam-3005	73	32	>	>	X
ejpam-3005	73	33	0	0	PROPN
ejpam-3005	73	34	and	and	CCONJ
ejpam-3005	73	35	t	t	PROPN
ejpam-3005	73	36	>	>	X
ejpam-3005	73	37	0	0	PROPN
ejpam-3005	73	38	,	,	PUNCT
ejpam-3005	73	39	δ({(i	δ({(i	PROPN
ejpam-3005	73	40	,	,	PUNCT
ejpam-3005	73	41	j	j	NOUN
ejpam-3005	73	42	)	)	PUNCT
ejpam-3005	73	43	∈	∈	PROPN
ejpam-3005	73	44	n×	n×	PROPN
ejpam-3005	73	45	n	n	NOUN
ejpam-3005	73	46	:	:	PUNCT
ejpam-3005	73	47	µ(xij	µ(xij	X
ejpam-3005	73	48	−	−	PROPN
ejpam-3005	73	49	l	l	PROPN
ejpam-3005	73	50	,	,	PUNCT
ejpam-3005	73	51	t	t	PROPN
ejpam-3005	73	52	)	)	PUNCT
ejpam-3005	73	53	≤	≤	NOUN
ejpam-3005	73	54	1−	1−	NUM
ejpam-3005	73	55	ε	ε	PROPN
ejpam-3005	73	56	or	or	CCONJ
ejpam-3005	73	57	ν(xij	ν(xij	PROPN
ejpam-3005	73	58	−	−	PROPN
ejpam-3005	73	59	l	l	PROPN
ejpam-3005	73	60	,	,	PUNCT
ejpam-3005	73	61	t	t	PROPN
ejpam-3005	73	62	)	)	PUNCT
ejpam-3005	73	63	≥	≥	NOUN
ejpam-3005	73	64	ε	ε	NOUN
ejpam-3005	73	65	}	}	PUNCT
ejpam-3005	73	66	)	)	PUNCT
ejpam-3005	73	67	=	=	SYM
ejpam-3005	74	1	0	0	X
ejpam-3005	74	2	.	.	NUM
ejpam-3005	74	3	or	or	CCONJ
ejpam-3005	74	4	equivalently	equivalently	ADV
ejpam-3005	74	5	lim	lim	PROPN
ejpam-3005	74	6	mn	mn	PROPN
ejpam-3005	74	7	1	1	NUM
ejpam-3005	74	8	mn	mn	PROPN
ejpam-3005	74	9	|{i	|{i	X
ejpam-3005	74	10	≤	≤	PROPN
ejpam-3005	74	11	m	m	PROPN
ejpam-3005	74	12	,	,	PUNCT
ejpam-3005	74	13	j	j	PROPN
ejpam-3005	74	14	≤	≤	PROPN
ejpam-3005	74	15	n	n	CCONJ
ejpam-3005	74	16	,	,	PUNCT
ejpam-3005	74	17	:	:	PUNCT
ejpam-3005	74	18	µ(xij	µ(xij	PROPN
ejpam-3005	74	19	−	−	PROPN
ejpam-3005	74	20	l	l	PROPN
ejpam-3005	74	21	,	,	PUNCT
ejpam-3005	74	22	t	t	PROPN
ejpam-3005	74	23	)	)	PUNCT
ejpam-3005	74	24	≤	≤	NOUN
ejpam-3005	74	25	1−	1−	NUM
ejpam-3005	74	26	ε	ε	PROPN
ejpam-3005	74	27	or	or	CCONJ
ejpam-3005	74	28	ν(xij	ν(xij	PROPN
ejpam-3005	74	29	−	−	PROPN
ejpam-3005	74	30	l	l	PROPN
ejpam-3005	74	31	,	,	PUNCT
ejpam-3005	74	32	t	t	PROPN
ejpam-3005	74	33	)	)	PUNCT
ejpam-3005	74	34	≥	≥	NOUN
ejpam-3005	74	35	ε}|	ε}|	NOUN
ejpam-3005	74	36	=	=	SYM
ejpam-3005	74	37	0	0	X
ejpam-3005	74	38	.	.	PUNCT
ejpam-3005	75	1	in	in	ADP
ejpam-3005	75	2	this	this	DET
ejpam-3005	75	3	case	case	NOUN
ejpam-3005	75	4	we	we	PRON
ejpam-3005	75	5	write	write	VERB
ejpam-3005	75	6	st2(µ,ν	st2(µ,ν	NOUN
ejpam-3005	75	7	)	)	PUNCT
ejpam-3005	75	8	−	−	PROPN
ejpam-3005	75	9	limx	limx	NOUN
ejpam-3005	75	10	=	=	PUNCT
ejpam-3005	75	11	l.	l.	PROPN
ejpam-3005	75	12	definition	definition	NOUN
ejpam-3005	75	13	9.2	9.2	NUM
ejpam-3005	75	14	let	let	VERB
ejpam-3005	75	15	(	(	PUNCT
ejpam-3005	75	16	x,µ	x,µ	NOUN
ejpam-3005	75	17	,	,	PUNCT
ejpam-3005	75	18	ν	ν	NOUN
ejpam-3005	75	19	,	,	PUNCT
ejpam-3005	75	20	∗	∗	NOUN
ejpam-3005	75	21	,	,	PUNCT
ejpam-3005	75	22	�	�	PROPN
ejpam-3005	75	23	)	)	PUNCT
ejpam-3005	75	24	be	be	VERB
ejpam-3005	75	25	an	an	DET
ejpam-3005	75	26	ifns	ifns	NOUN
ejpam-3005	75	27	.	.	PUNCT
ejpam-3005	76	1	then	then	ADV
ejpam-3005	76	2	,	,	PUNCT
ejpam-3005	76	3	a	a	DET
ejpam-3005	76	4	double	double	ADJ
ejpam-3005	76	5	sequence	sequence	NOUN
ejpam-3005	76	6	x	x	PUNCT
ejpam-3005	77	1	=	=	SYM
ejpam-3005	77	2	(	(	PUNCT
ejpam-3005	77	3	xij	xij	X
ejpam-3005	77	4	)	)	PUNCT
ejpam-3005	77	5	is	be	AUX
ejpam-3005	77	6	said	say	VERB
ejpam-3005	77	7	to	to	PART
ejpam-3005	77	8	be	be	AUX
ejpam-3005	77	9	statistically	statistically	ADV
ejpam-3005	77	10	cauchy	cauchy	ADJ
ejpam-3005	77	11	with	with	ADP
ejpam-3005	77	12	respect	respect	NOUN
ejpam-3005	77	13	to	to	ADP
ejpam-3005	77	14	the	the	DET
ejpam-3005	77	15	intuitionistic	intuitionistic	ADJ
ejpam-3005	77	16	fuzzy	fuzzy	ADJ
ejpam-3005	77	17	norm	norm	NOUN
ejpam-3005	77	18	(	(	PUNCT
ejpam-3005	77	19	µ	µ	NOUN
ejpam-3005	77	20	,	,	PUNCT
ejpam-3005	77	21	ν	ν	NOUN
ejpam-3005	77	22	)	)	PUNCT
ejpam-3005	77	23	if	if	SCONJ
ejpam-3005	77	24	,	,	PUNCT
ejpam-3005	77	25	for	for	ADP
ejpam-3005	77	26	every	every	PRON
ejpam-3005	77	27	v.	v.	ADP
ejpam-3005	77	28	a.	a.	PROPN
ejpam-3005	77	29	khan	khan	PROPN
ejpam-3005	77	30	,	,	PUNCT
ejpam-3005	77	31	yasmeen	yasmeen	PROPN
ejpam-3005	77	32	,	,	PUNCT
ejpam-3005	77	33	h.	h.	PROPN
ejpam-3005	77	34	fatima	fatima	PROPN
ejpam-3005	77	35	,	,	PUNCT
ejpam-3005	77	36	a.	a.	PROPN
ejpam-3005	77	37	ahmad	ahmad	PROPN
ejpam-3005	77	38	/	/	SYM
ejpam-3005	77	39	eur	eur	PROPN
ejpam-3005	77	40	.	.	PUNCT
ejpam-3005	78	1	j.	j.	PROPN
ejpam-3005	78	2	pure	pure	PROPN
ejpam-3005	78	3	appl	appl	PROPN
ejpam-3005	78	4	.	.	PROPN
ejpam-3005	78	5	math	math	PROPN
ejpam-3005	78	6	,	,	PUNCT
ejpam-3005	78	7	10	10	NUM
ejpam-3005	78	8	(	(	PUNCT
ejpam-3005	78	9	3	3	NUM
ejpam-3005	78	10	)	)	PUNCT
ejpam-3005	78	11	(	(	PUNCT
ejpam-3005	78	12	2017	2017	NUM
ejpam-3005	78	13	)	)	PUNCT
ejpam-3005	78	14	,	,	PUNCT
ejpam-3005	78	15	574	574	NUM
ejpam-3005	78	16	-	-	SYM
ejpam-3005	78	17	585	585	NUM
ejpam-3005	78	18	577	577	NUM
ejpam-3005	78	19	ε	ε	PROPN
ejpam-3005	78	20	>	>	PUNCT
ejpam-3005	78	21	0	0	PROPN
ejpam-3005	78	22	and	and	CCONJ
ejpam-3005	78	23	t	t	PROPN
ejpam-3005	78	24	>	>	X
ejpam-3005	78	25	0	0	PROPN
ejpam-3005	78	26	,	,	PUNCT
ejpam-3005	78	27	there	there	PRON
ejpam-3005	78	28	exist	exist	VERB
ejpam-3005	78	29	n	n	PROPN
ejpam-3005	78	30	=	=	PUNCT
ejpam-3005	78	31	n(ε	n(ε	NOUN
ejpam-3005	78	32	)	)	PUNCT
ejpam-3005	78	33	and	and	CCONJ
ejpam-3005	78	34	m	m	PROPN
ejpam-3005	78	35	=	=	SYM
ejpam-3005	78	36	m(ε	m(ε	NUM
ejpam-3005	78	37	)	)	PUNCT
ejpam-3005	78	38	such	such	ADJ
ejpam-3005	78	39	that	that	PRON
ejpam-3005	78	40	for	for	ADP
ejpam-3005	78	41	all	all	DET
ejpam-3005	78	42	i	i	PRON
ejpam-3005	78	43	,	,	PUNCT
ejpam-3005	78	44	p	p	NOUN
ejpam-3005	78	45	≥	≥	NOUN
ejpam-3005	78	46	n	n	PROPN
ejpam-3005	78	47	and	and	CCONJ
ejpam-3005	78	48	j	j	PROPN
ejpam-3005	78	49	,	,	PUNCT
ejpam-3005	78	50	q	q	PROPN
ejpam-3005	78	51	≥m	≥m	NOUN
ejpam-3005	78	52	,	,	PUNCT
ejpam-3005	78	53	δ({(i	δ({(i	PROPN
ejpam-3005	78	54	,	,	PUNCT
ejpam-3005	78	55	j	j	NOUN
ejpam-3005	78	56	)	)	PUNCT
ejpam-3005	78	57	∈	∈	PROPN
ejpam-3005	78	58	n×	n×	PROPN
ejpam-3005	78	59	n	n	NOUN
ejpam-3005	78	60	:	:	PUNCT
ejpam-3005	78	61	µ(xij	µ(xij	X
ejpam-3005	78	62	−	−	PUNCT
ejpam-3005	78	63	xpq	xpq	PROPN
ejpam-3005	78	64	,	,	PUNCT
ejpam-3005	78	65	t	t	PROPN
ejpam-3005	78	66	)	)	PUNCT
ejpam-3005	78	67	≤	≤	NOUN
ejpam-3005	78	68	1−	1−	NUM
ejpam-3005	78	69	ε	ε	PROPN
ejpam-3005	78	70	or	or	CCONJ
ejpam-3005	78	71	ν(xij	ν(xij	PROPN
ejpam-3005	78	72	−	−	PROPN
ejpam-3005	78	73	xpq	xpq	PROPN
ejpam-3005	78	74	,	,	PUNCT
ejpam-3005	78	75	t	t	PROPN
ejpam-3005	78	76	)	)	PUNCT
ejpam-3005	78	77	≥	≥	NOUN
ejpam-3005	78	78	ε	ε	NOUN
ejpam-3005	78	79	}	}	PUNCT
ejpam-3005	78	80	)	)	PUNCT
ejpam-3005	79	1	=	=	SYM
ejpam-3005	79	2	0	0	X
ejpam-3005	79	3	.	.	PUNCT
ejpam-3005	79	4	definition	definition	NOUN
ejpam-3005	79	5	10	10	NUM
ejpam-3005	79	6	.	.	PUNCT
ejpam-3005	80	1	let	let	AUX
ejpam-3005	80	2	i2	i2	PROPN
ejpam-3005	80	3	be	be	AUX
ejpam-3005	80	4	a	a	DET
ejpam-3005	80	5	non	non	ADJ
ejpam-3005	80	6	trivial	trivial	ADJ
ejpam-3005	80	7	ideal	ideal	NOUN
ejpam-3005	80	8	of	of	ADP
ejpam-3005	80	9	n×n	n×n	PROPN
ejpam-3005	80	10	and	and	CCONJ
ejpam-3005	80	11	(	(	PUNCT
ejpam-3005	80	12	x,µ	x,µ	NOUN
ejpam-3005	80	13	,	,	PUNCT
ejpam-3005	80	14	ν	ν	NOUN
ejpam-3005	80	15	,	,	PUNCT
ejpam-3005	80	16	∗	∗	NOUN
ejpam-3005	80	17	,	,	PUNCT
ejpam-3005	80	18	�	�	PROPN
ejpam-3005	80	19	)	)	PUNCT
ejpam-3005	80	20	be	be	VERB
ejpam-3005	80	21	an	an	DET
ejpam-3005	80	22	intuitionistic	intuitionistic	ADJ
ejpam-3005	80	23	fuzzy	fuzzy	ADJ
ejpam-3005	80	24	normed	normed	ADJ
ejpam-3005	80	25	space	space	NOUN
ejpam-3005	80	26	.	.	PUNCT
ejpam-3005	81	1	a	a	DET
ejpam-3005	81	2	double	double	ADJ
ejpam-3005	81	3	sequence	sequence	NOUN
ejpam-3005	81	4	x	x	PUNCT
ejpam-3005	81	5	=	=	SYM
ejpam-3005	81	6	(	(	PUNCT
ejpam-3005	81	7	xij	xij	X
ejpam-3005	81	8	)	)	PUNCT
ejpam-3005	81	9	of	of	ADP
ejpam-3005	81	10	elements	element	NOUN
ejpam-3005	81	11	of	of	ADP
ejpam-3005	81	12	x	x	SYM
ejpam-3005	81	13	is	be	AUX
ejpam-3005	81	14	said	say	VERB
ejpam-3005	81	15	to	to	PART
ejpam-3005	81	16	be	be	AUX
ejpam-3005	81	17	i2	i2	NOUN
ejpam-3005	81	18	convergent	convergent	NOUN
ejpam-3005	81	19	to	to	ADP
ejpam-3005	81	20	l	l	NOUN
ejpam-3005	81	21	∈	∈	PROPN
ejpam-3005	81	22	x	x	PUNCT
ejpam-3005	81	23	with	with	ADP
ejpam-3005	81	24	respect	respect	NOUN
ejpam-3005	81	25	to	to	ADP
ejpam-3005	81	26	the	the	DET
ejpam-3005	81	27	intuitionistic	intuitionistic	ADJ
ejpam-3005	81	28	fuzzy	fuzzy	ADJ
ejpam-3005	81	29	norm	norm	NOUN
ejpam-3005	81	30	(	(	PUNCT
ejpam-3005	81	31	µ	µ	NOUN
ejpam-3005	81	32	,	,	PUNCT
ejpam-3005	81	33	ν	ν	NOUN
ejpam-3005	81	34	)	)	PUNCT
ejpam-3005	81	35	if	if	SCONJ
ejpam-3005	81	36	,	,	PUNCT
ejpam-3005	81	37	for	for	ADP
ejpam-3005	81	38	each	each	DET
ejpam-3005	81	39	ε	ε	PROPN
ejpam-3005	81	40	>	>	X
ejpam-3005	81	41	0	0	PROPN
ejpam-3005	81	42	and	and	CCONJ
ejpam-3005	81	43	t	t	X
ejpam-3005	81	44	>	>	X
ejpam-3005	81	45	0	0	PROPN
ejpam-3005	81	46	,	,	PUNCT
ejpam-3005	81	47	{	{	PUNCT
ejpam-3005	81	48	(	(	PUNCT
ejpam-3005	81	49	i	i	PROPN
ejpam-3005	81	50	,	,	PUNCT
ejpam-3005	81	51	j	j	PROPN
ejpam-3005	81	52	)	)	PUNCT
ejpam-3005	81	53	∈	∈	PROPN
ejpam-3005	81	54	n×	n×	PROPN
ejpam-3005	81	55	n	n	NOUN
ejpam-3005	81	56	:	:	PUNCT
ejpam-3005	81	57	µ(xij	µ(xij	X
ejpam-3005	81	58	−	−	PROPN
ejpam-3005	81	59	l	l	PROPN
ejpam-3005	81	60	,	,	PUNCT
ejpam-3005	81	61	t	t	PROPN
ejpam-3005	81	62	)	)	PUNCT
ejpam-3005	81	63	≤	≤	NOUN
ejpam-3005	81	64	1−	1−	NUM
ejpam-3005	81	65	ε	ε	PROPN
ejpam-3005	81	66	or	or	CCONJ
ejpam-3005	81	67	ν(xij	ν(xij	PROPN
ejpam-3005	81	68	−	−	PROPN
ejpam-3005	81	69	l	l	PROPN
ejpam-3005	81	70	,	,	PUNCT
ejpam-3005	81	71	t	t	PROPN
ejpam-3005	81	72	)	)	PUNCT
ejpam-3005	81	73	≥	≥	NOUN
ejpam-3005	81	74	ε	ε	PROPN
ejpam-3005	81	75	}	}	PUNCT
ejpam-3005	81	76	∈	∈	PROPN
ejpam-3005	81	77	i2	i2	NOUN
ejpam-3005	81	78	.	.	PUNCT
ejpam-3005	82	1	in	in	ADP
ejpam-3005	82	2	this	this	DET
ejpam-3005	82	3	case	case	NOUN
ejpam-3005	82	4	we	we	PRON
ejpam-3005	82	5	write	write	VERB
ejpam-3005	82	6	i	i	PRON
ejpam-3005	82	7	(	(	PUNCT
ejpam-3005	82	8	µ,ν	µ,ν	X
ejpam-3005	82	9	)	)	PUNCT
ejpam-3005	82	10	2	2	NUM
ejpam-3005	82	11	−	−	NOUN
ejpam-3005	82	12	limx	limx	NOUN
ejpam-3005	82	13	=	=	PROPN
ejpam-3005	82	14	l.	l.	PROPN
ejpam-3005	82	15	the	the	DET
ejpam-3005	82	16	approach	approach	NOUN
ejpam-3005	82	17	of	of	ADP
ejpam-3005	82	18	constructing	construct	VERB
ejpam-3005	82	19	new	new	ADJ
ejpam-3005	82	20	sequence	sequence	NOUN
ejpam-3005	82	21	spaces	space	NOUN
ejpam-3005	82	22	by	by	ADP
ejpam-3005	82	23	means	mean	NOUN
ejpam-3005	82	24	of	of	ADP
ejpam-3005	82	25	the	the	DET
ejpam-3005	82	26	matrix	matrix	NOUN
ejpam-3005	82	27	domain	domain	NOUN
ejpam-3005	82	28	of	of	ADP
ejpam-3005	82	29	a	a	DET
ejpam-3005	82	30	particular	particular	ADJ
ejpam-3005	82	31	limitation	limitation	NOUN
ejpam-3005	82	32	method	method	NOUN
ejpam-3005	82	33	have	have	AUX
ejpam-3005	82	34	been	be	AUX
ejpam-3005	82	35	recently	recently	ADV
ejpam-3005	82	36	employed	employ	VERB
ejpam-3005	82	37	by	by	ADP
ejpam-3005	82	38	altay	altay	NOUN
ejpam-3005	82	39	,	,	PUNCT
ejpam-3005	82	40	başar	başar	PROPN
ejpam-3005	82	41	,	,	PUNCT
ejpam-3005	82	42	mursaleen	mursaleen	NOUN
ejpam-3005	83	1	[	[	X
ejpam-3005	83	2	1	1	NUM
ejpam-3005	83	3	]	]	PUNCT
ejpam-3005	83	4	,	,	PUNCT
ejpam-3005	83	5	malkowsky	malkowsky	PROPN
ejpam-3005	83	6	[	[	X
ejpam-3005	83	7	19	19	NUM
ejpam-3005	83	8	]	]	SYM
ejpam-3005	83	9	ng	ng	PROPN
ejpam-3005	83	10	and	and	CCONJ
ejpam-3005	83	11	lee	lee	PROPN
ejpam-3005	84	1	[	[	X
ejpam-3005	84	2	23	23	NUM
ejpam-3005	84	3	]	]	PUNCT
ejpam-3005	84	4	,	,	PUNCT
ejpam-3005	84	5	and	and	CCONJ
ejpam-3005	84	6	wang	wang	PROPN
ejpam-3005	85	1	[	[	X
ejpam-3005	85	2	28	28	NUM
ejpam-3005	85	3	]	]	PUNCT
ejpam-3005	85	4	.	.	PUNCT
ejpam-3005	86	1	şengönül	şengönül	NOUN
ejpam-3005	87	1	[	[	X
ejpam-3005	87	2	27	27	NUM
ejpam-3005	87	3	]	]	PUNCT
ejpam-3005	87	4	defined	define	VERB
ejpam-3005	87	5	the	the	DET
ejpam-3005	87	6	sequence	sequence	NOUN
ejpam-3005	87	7	y	y	PROPN
ejpam-3005	87	8	=	=	SYM
ejpam-3005	87	9	(	(	PUNCT
ejpam-3005	87	10	yi	yi	NOUN
ejpam-3005	87	11	)	)	PUNCT
ejpam-3005	87	12	which	which	PRON
ejpam-3005	87	13	is	be	AUX
ejpam-3005	87	14	frequently	frequently	ADV
ejpam-3005	87	15	used	use	VERB
ejpam-3005	87	16	as	as	ADP
ejpam-3005	87	17	the	the	DET
ejpam-3005	87	18	zp	zp	PROPN
ejpam-3005	87	19	transformation	transformation	NOUN
ejpam-3005	87	20	of	of	ADP
ejpam-3005	87	21	the	the	DET
ejpam-3005	87	22	sequence	sequence	NOUN
ejpam-3005	87	23	x	x	PUNCT
ejpam-3005	87	24	=	=	SYM
ejpam-3005	87	25	(	(	PUNCT
ejpam-3005	87	26	xi	xi	PROPN
ejpam-3005	87	27	)	)	PUNCT
ejpam-3005	87	28	i.e	i.e	PROPN
ejpam-3005	87	29	,	,	PUNCT
ejpam-3005	87	30	yi	yi	NOUN
ejpam-3005	87	31	=	=	PUNCT
ejpam-3005	87	32	pxi	pxi	NOUN
ejpam-3005	87	33	+	+	CCONJ
ejpam-3005	87	34	(	(	PUNCT
ejpam-3005	87	35	1−	1−	NUM
ejpam-3005	87	36	p)xi−1	p)xi−1	PROPN
ejpam-3005	87	37	where	where	SCONJ
ejpam-3005	87	38	x−1	x−1	PROPN
ejpam-3005	87	39	=	=	NOUN
ejpam-3005	87	40	0	0	PROPN
ejpam-3005	87	41	,	,	PUNCT
ejpam-3005	87	42	p	p	NOUN
ejpam-3005	87	43	6=	6=	PROPN
ejpam-3005	87	44	1	1	NUM
ejpam-3005	87	45	,	,	PUNCT
ejpam-3005	87	46	1	1	NUM
ejpam-3005	87	47	<	<	X
ejpam-3005	87	48	p	p	X
ejpam-3005	87	49	<	<	X
ejpam-3005	87	50	∞	∞	PROPN
ejpam-3005	87	51	and	and	CCONJ
ejpam-3005	87	52	zp	zp	PROPN
ejpam-3005	87	53	denotes	denote	VERB
ejpam-3005	87	54	the	the	DET
ejpam-3005	87	55	matrix	matrix	NOUN
ejpam-3005	88	1	zp	zp	NOUN
ejpam-3005	88	2	=	=	SYM
ejpam-3005	88	3	(	(	PUNCT
ejpam-3005	88	4	zik	zik	PROPN
ejpam-3005	88	5	)	)	PUNCT
ejpam-3005	88	6	defined	define	VERB
ejpam-3005	88	7	by	by	ADP
ejpam-3005	88	8	zik	zik	PROPN
ejpam-3005	88	9	=	=	PUNCT
ejpam-3005	88	10	{	{	PUNCT
ejpam-3005	89	1	p	p	X
ejpam-3005	89	2	,	,	PUNCT
ejpam-3005	89	3	if	if	SCONJ
ejpam-3005	89	4	(	(	PUNCT
ejpam-3005	89	5	i	i	NOUN
ejpam-3005	89	6	=	=	SYM
ejpam-3005	89	7	k	k	NOUN
ejpam-3005	89	8	)	)	PUNCT
ejpam-3005	89	9	,	,	PUNCT
ejpam-3005	89	10	1−	1−	NUM
ejpam-3005	89	11	p	p	NOUN
ejpam-3005	89	12	,	,	PUNCT
ejpam-3005	89	13	(	(	PUNCT
ejpam-3005	89	14	i−	i−	PROPN
ejpam-3005	89	15	1	1	NUM
ejpam-3005	89	16	=	=	SYM
ejpam-3005	89	17	k	k	NOUN
ejpam-3005	89	18	)	)	PUNCT
ejpam-3005	89	19	;	;	PUNCT
ejpam-3005	89	20	(	(	PUNCT
ejpam-3005	89	21	i	i	PRON
ejpam-3005	89	22	,	,	PUNCT
ejpam-3005	89	23	k	k	PROPN
ejpam-3005	89	24	∈	∈	PROPN
ejpam-3005	89	25	n	n	CCONJ
ejpam-3005	89	26	)	)	PUNCT
ejpam-3005	89	27	0	0	NUM
ejpam-3005	89	28	,	,	PUNCT
ejpam-3005	89	29	otherwise	otherwise	ADV
ejpam-3005	89	30	.	.	PUNCT
ejpam-3005	90	1	analogous	analogous	ADJ
ejpam-3005	90	2	to	to	ADP
ejpam-3005	90	3	başar	başar	PROPN
ejpam-3005	90	4	and	and	CCONJ
ejpam-3005	90	5	altay	altay	NOUN
ejpam-3005	91	1	[	[	X
ejpam-3005	91	2	2	2	NUM
ejpam-3005	91	3	]	]	PUNCT
ejpam-3005	91	4	,	,	PUNCT
ejpam-3005	91	5	şengönül	şengönül	NOUN
ejpam-3005	91	6	[	[	X
ejpam-3005	91	7	27	27	NUM
ejpam-3005	91	8	]	]	PUNCT
ejpam-3005	91	9	introduced	introduce	VERB
ejpam-3005	91	10	the	the	DET
ejpam-3005	91	11	zweier	zweier	NOUN
ejpam-3005	91	12	sequence	sequence	NOUN
ejpam-3005	91	13	spaces	space	VERB
ejpam-3005	91	14	z	z	NOUN
ejpam-3005	91	15	and	and	CCONJ
ejpam-3005	91	16	z0	z0	PROPN
ejpam-3005	91	17	as	as	SCONJ
ejpam-3005	91	18	follows	follow	VERB
ejpam-3005	91	19	z	z	NOUN
ejpam-3005	91	20	=	=	SYM
ejpam-3005	91	21	{	{	PUNCT
ejpam-3005	91	22	x	x	SYM
ejpam-3005	91	23	=	=	SYM
ejpam-3005	91	24	(	(	PUNCT
ejpam-3005	91	25	xk	xk	ADJ
ejpam-3005	91	26	)	)	PUNCT
ejpam-3005	91	27	∈	∈	PROPN
ejpam-3005	91	28	ω	ω	NOUN
ejpam-3005	91	29	:	:	PUNCT
ejpam-3005	91	30	zpx	zpx	PROPN
ejpam-3005	91	31	∈	∈	PROPN
ejpam-3005	91	32	c	c	NOUN
ejpam-3005	91	33	}	}	PUNCT
ejpam-3005	91	34	;	;	PUNCT
ejpam-3005	92	1	z0	z0	PROPN
ejpam-3005	92	2	=	=	SYM
ejpam-3005	92	3	{	{	PUNCT
ejpam-3005	92	4	x	x	SYM
ejpam-3005	92	5	=	=	SYM
ejpam-3005	92	6	(	(	PUNCT
ejpam-3005	92	7	xk	xk	ADJ
ejpam-3005	92	8	)	)	PUNCT
ejpam-3005	92	9	∈	∈	PROPN
ejpam-3005	92	10	ω	ω	PROPN
ejpam-3005	92	11	:	:	PUNCT
ejpam-3005	92	12	zpx	zpx	PROPN
ejpam-3005	92	13	∈	∈	PROPN
ejpam-3005	92	14	c0	c0	PROPN
ejpam-3005	92	15	}	}	PUNCT
ejpam-3005	92	16	.	.	PUNCT
ejpam-3005	93	1	khan	khan	PROPN
ejpam-3005	93	2	,	,	PUNCT
ejpam-3005	93	3	ebadullah	ebadullah	PROPN
ejpam-3005	93	4	and	and	CCONJ
ejpam-3005	93	5	yasmeen	yasmeen	NOUN
ejpam-3005	94	1	[	[	X
ejpam-3005	94	2	8	8	NUM
ejpam-3005	94	3	]	]	PUNCT
ejpam-3005	94	4	introduced	introduce	VERB
ejpam-3005	94	5	the	the	DET
ejpam-3005	94	6	following	follow	VERB
ejpam-3005	94	7	classes	class	NOUN
ejpam-3005	94	8	of	of	ADP
ejpam-3005	94	9	sequences	sequence	NOUN
ejpam-3005	94	10	:	:	PUNCT
ejpam-3005	94	11	zi	zi	X
ejpam-3005	94	12	=	=	SYM
ejpam-3005	94	13	{	{	PUNCT
ejpam-3005	94	14	(	(	PUNCT
ejpam-3005	94	15	xk	xk	INTJ
ejpam-3005	94	16	)	)	PUNCT
ejpam-3005	94	17	∈	∈	PROPN
ejpam-3005	94	18	ω	ω	NOUN
ejpam-3005	94	19	:	:	PUNCT
ejpam-3005	94	20	∃l	∃l	PROPN
ejpam-3005	94	21	∈	∈	NOUN
ejpam-3005	94	22	c	c	NOUN
ejpam-3005	94	23	such	such	ADJ
ejpam-3005	94	24	that	that	PRON
ejpam-3005	94	25	for	for	ADP
ejpam-3005	94	26	a	a	DET
ejpam-3005	94	27	given	give	VERB
ejpam-3005	94	28	ε	ε	PROPN
ejpam-3005	94	29	>	>	X
ejpam-3005	94	30	0	0	PROPN
ejpam-3005	94	31	,	,	PUNCT
ejpam-3005	94	32	{	{	PUNCT
ejpam-3005	94	33	k	k	PROPN
ejpam-3005	94	34	∈	∈	PROPN
ejpam-3005	95	1	n	n	NOUN
ejpam-3005	95	2	:|	:|	NOUN
ejpam-3005	95	3	x	x	X
ejpam-3005	95	4	/	/	SYM
ejpam-3005	95	5	k	k	NOUN
ejpam-3005	95	6	−	−	PROPN
ejpam-3005	95	7	l	l	NOUN
ejpam-3005	95	8	|≥	|≥	PROPN
ejpam-3005	95	9	ε	ε	PROPN
ejpam-3005	95	10	}	}	PUNCT
ejpam-3005	95	11	∈	∈	PROPN
ejpam-3005	95	12	i	i	X
ejpam-3005	95	13	}	}	PUNCT
ejpam-3005	95	14	;	;	PUNCT
ejpam-3005	95	15	zi0	zi0	PROPN
ejpam-3005	95	16	=	=	SYM
ejpam-3005	95	17	{	{	PUNCT
ejpam-3005	95	18	(	(	PUNCT
ejpam-3005	95	19	xk	xk	INTJ
ejpam-3005	95	20	)	)	PUNCT
ejpam-3005	95	21	∈	∈	PROPN
ejpam-3005	95	22	ω	ω	NOUN
ejpam-3005	95	23	:	:	PUNCT
ejpam-3005	95	24	for	for	ADP
ejpam-3005	95	25	a	a	DET
ejpam-3005	95	26	given	give	VERB
ejpam-3005	95	27	ε	ε	PROPN
ejpam-3005	95	28	>	>	X
ejpam-3005	95	29	0	0	NUM
ejpam-3005	95	30	;	;	PUNCT
ejpam-3005	95	31	{	{	PUNCT
ejpam-3005	95	32	k	k	PROPN
ejpam-3005	95	33	∈	∈	PROPN
ejpam-3005	96	1	n	n	NOUN
ejpam-3005	96	2	:|	:|	NOUN
ejpam-3005	96	3	x	x	X
ejpam-3005	96	4	/	/	SYM
ejpam-3005	96	5	k	k	PROPN
ejpam-3005	96	6	|≥	|≥	PROPN
ejpam-3005	96	7	ε	ε	PROPN
ejpam-3005	96	8	}	}	PUNCT
ejpam-3005	96	9	∈	∈	PROPN
ejpam-3005	96	10	i	i	X
ejpam-3005	96	11	}	}	PUNCT
ejpam-3005	96	12	,	,	PUNCT
ejpam-3005	96	13	v.	v.	ADP
ejpam-3005	96	14	a.	a.	PROPN
ejpam-3005	96	15	khan	khan	PROPN
ejpam-3005	96	16	,	,	PUNCT
ejpam-3005	96	17	yasmeen	yasmeen	PROPN
ejpam-3005	96	18	,	,	PUNCT
ejpam-3005	96	19	h.	h.	PROPN
ejpam-3005	96	20	fatima	fatima	PROPN
ejpam-3005	96	21	,	,	PUNCT
ejpam-3005	96	22	a.	a.	PROPN
ejpam-3005	96	23	ahmad	ahmad	PROPN
ejpam-3005	96	24	/	/	SYM
ejpam-3005	96	25	eur	eur	PROPN
ejpam-3005	96	26	.	.	PUNCT
ejpam-3005	97	1	j.	j.	PROPN
ejpam-3005	97	2	pure	pure	PROPN
ejpam-3005	97	3	appl	appl	PROPN
ejpam-3005	97	4	.	.	PROPN
ejpam-3005	97	5	math	math	PROPN
ejpam-3005	97	6	,	,	PUNCT
ejpam-3005	97	7	10	10	NUM
ejpam-3005	97	8	(	(	PUNCT
ejpam-3005	97	9	3	3	NUM
ejpam-3005	97	10	)	)	PUNCT
ejpam-3005	97	11	(	(	PUNCT
ejpam-3005	97	12	2017	2017	NUM
ejpam-3005	97	13	)	)	PUNCT
ejpam-3005	97	14	,	,	PUNCT
ejpam-3005	97	15	574	574	NUM
ejpam-3005	97	16	-	-	SYM
ejpam-3005	97	17	585	585	NUM
ejpam-3005	97	18	578	578	NUM
ejpam-3005	97	19	where	where	SCONJ
ejpam-3005	97	20	(	(	PUNCT
ejpam-3005	97	21	x	x	SYM
ejpam-3005	97	22	/	/	SYM
ejpam-3005	97	23	k	k	NOUN
ejpam-3005	97	24	)	)	PUNCT
ejpam-3005	97	25	=	=	SYM
ejpam-3005	98	1	(	(	PUNCT
ejpam-3005	98	2	zpx	zpx	PROPN
ejpam-3005	98	3	)	)	PUNCT
ejpam-3005	98	4	.	.	PUNCT
ejpam-3005	99	1	recently	recently	ADV
ejpam-3005	99	2	v.a	v.a	PROPN
ejpam-3005	99	3	.	.	PROPN
ejpam-3005	99	4	khan	khan	PROPN
ejpam-3005	99	5	and	and	CCONJ
ejpam-3005	99	6	yasmeen	yasmeen	PROPN
ejpam-3005	100	1	[	[	X
ejpam-3005	100	2	13	13	NUM
ejpam-3005	100	3	]	]	PUNCT
ejpam-3005	100	4	introduced	introduce	VERB
ejpam-3005	100	5	the	the	DET
ejpam-3005	100	6	following	follow	VERB
ejpam-3005	100	7	sequence	sequence	NOUN
ejpam-3005	100	8	spaces	space	NOUN
ejpam-3005	100	9	:	:	PUNCT
ejpam-3005	100	10	zi(µ,ν)(m	zi(µ,ν)(m	NUM
ejpam-3005	100	11	)	)	PUNCT
ejpam-3005	100	12	=	=	PRON
ejpam-3005	101	1	{	{	PUNCT
ejpam-3005	101	2	(	(	PUNCT
ejpam-3005	101	3	xk	xk	INTJ
ejpam-3005	101	4	)	)	PUNCT
ejpam-3005	101	5	∈	∈	PROPN
ejpam-3005	101	6	ω	ω	NOUN
ejpam-3005	101	7	:	:	PUNCT
ejpam-3005	101	8	{	{	PUNCT
ejpam-3005	101	9	k	k	PROPN
ejpam-3005	101	10	∈	∈	PROPN
ejpam-3005	101	11	n	n	CCONJ
ejpam-3005	101	12	:	:	PUNCT
ejpam-3005	101	13	m	m	VERB
ejpam-3005	101	14	(	(	PUNCT
ejpam-3005	101	15	µ(x	µ(x	X
ejpam-3005	101	16	/	/	SYM
ejpam-3005	101	17	k−l	k−l	NOUN
ejpam-3005	101	18	,	,	PUNCT
ejpam-3005	101	19	t	t	PROPN
ejpam-3005	101	20	)	)	PUNCT
ejpam-3005	101	21	ρ	ρ	PROPN
ejpam-3005	101	22	)	)	PUNCT
ejpam-3005	101	23	≤	≤	NOUN
ejpam-3005	101	24	1−	1−	NUM
ejpam-3005	101	25	ε	ε	PROPN
ejpam-3005	101	26	or	or	CCONJ
ejpam-3005	101	27	m	m	PROPN
ejpam-3005	101	28	(	(	PUNCT
ejpam-3005	101	29	ν(x	ν(x	PROPN
ejpam-3005	101	30	/	/	SYM
ejpam-3005	101	31	k−l	k−l	PROPN
ejpam-3005	101	32	,	,	PUNCT
ejpam-3005	101	33	t	t	PROPN
ejpam-3005	101	34	)	)	PUNCT
ejpam-3005	101	35	ρ	ρ	PROPN
ejpam-3005	101	36	)	)	PUNCT
ejpam-3005	101	37	≥	≥	NOUN
ejpam-3005	101	38	ε	ε	PROPN
ejpam-3005	101	39	}	}	PUNCT
ejpam-3005	101	40	∈	∈	PROPN
ejpam-3005	101	41	i	i	NOUN
ejpam-3005	101	42	}	}	PUNCT
ejpam-3005	101	43	,	,	PUNCT
ejpam-3005	101	44	zi0(µ,ν)(m	zi0(µ,ν)(m	NUM
ejpam-3005	101	45	)	)	PUNCT
ejpam-3005	101	46	=	=	PRON
ejpam-3005	101	47	{	{	PUNCT
ejpam-3005	101	48	(	(	PUNCT
ejpam-3005	101	49	xk	xk	INTJ
ejpam-3005	101	50	)	)	PUNCT
ejpam-3005	101	51	∈	∈	PROPN
ejpam-3005	101	52	ω	ω	NOUN
ejpam-3005	101	53	:	:	PUNCT
ejpam-3005	101	54	{	{	PUNCT
ejpam-3005	101	55	k	k	PROPN
ejpam-3005	101	56	∈	∈	PROPN
ejpam-3005	101	57	n	n	CCONJ
ejpam-3005	101	58	:	:	PUNCT
ejpam-3005	101	59	m	m	VERB
ejpam-3005	101	60	(	(	PUNCT
ejpam-3005	101	61	µ(x	µ(x	PROPN
ejpam-3005	101	62	/	/	SYM
ejpam-3005	101	63	k	k	PROPN
ejpam-3005	101	64	,	,	PUNCT
ejpam-3005	101	65	t	t	PROPN
ejpam-3005	101	66	)	)	PUNCT
ejpam-3005	101	67	ρ	ρ	PROPN
ejpam-3005	101	68	)	)	PUNCT
ejpam-3005	101	69	≤	≤	NOUN
ejpam-3005	101	70	1−	1−	NUM
ejpam-3005	101	71	ε	ε	PROPN
ejpam-3005	101	72	or	or	CCONJ
ejpam-3005	101	73	m	m	PROPN
ejpam-3005	101	74	(	(	PUNCT
ejpam-3005	101	75	ν(x	ν(x	PROPN
ejpam-3005	101	76	/	/	SYM
ejpam-3005	101	77	k	k	PROPN
ejpam-3005	101	78	,	,	PUNCT
ejpam-3005	101	79	t	t	PROPN
ejpam-3005	101	80	)	)	PUNCT
ejpam-3005	101	81	ρ	ρ	PROPN
ejpam-3005	101	82	)	)	PUNCT
ejpam-3005	101	83	≥	≥	NOUN
ejpam-3005	101	84	ε	ε	PROPN
ejpam-3005	101	85	}	}	PUNCT
ejpam-3005	101	86	∈	∈	PROPN
ejpam-3005	101	87	i	i	NOUN
ejpam-3005	101	88	}	}	PUNCT
ejpam-3005	101	89	.	.	PUNCT
ejpam-3005	102	1	in	in	ADP
ejpam-3005	102	2	this	this	DET
ejpam-3005	102	3	article	article	NOUN
ejpam-3005	102	4	we	we	PRON
ejpam-3005	102	5	introduce	introduce	VERB
ejpam-3005	102	6	the	the	DET
ejpam-3005	102	7	intuitionistic	intuitionistic	ADJ
ejpam-3005	102	8	zweier	zweier	NOUN
ejpam-3005	102	9	i	i	NOUN
ejpam-3005	102	10	-	-	PUNCT
ejpam-3005	102	11	convergent	convergent	ADJ
ejpam-3005	102	12	double	double	ADJ
ejpam-3005	102	13	sequence	sequence	NOUN
ejpam-3005	102	14	spaces	space	NOUN
ejpam-3005	102	15	defined	define	VERB
ejpam-3005	102	16	by	by	ADP
ejpam-3005	102	17	orlicz	orlicz	ADJ
ejpam-3005	102	18	function	function	NOUN
ejpam-3005	102	19	as	as	SCONJ
ejpam-3005	102	20	follows	follow	VERB
ejpam-3005	102	21	:	:	PUNCT
ejpam-3005	102	22	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	102	23	)	)	PUNCT
ejpam-3005	102	24	=	=	PRON
ejpam-3005	102	25	{	{	PUNCT
ejpam-3005	102	26	(	(	PUNCT
ejpam-3005	102	27	xij	xij	NOUN
ejpam-3005	102	28	)	)	PUNCT
ejpam-3005	102	29	∈	∈	PROPN
ejpam-3005	102	30	2ω	2ω	NUM
ejpam-3005	102	31	:	:	PUNCT
ejpam-3005	102	32	{	{	PUNCT
ejpam-3005	102	33	(	(	PUNCT
ejpam-3005	102	34	i	i	PROPN
ejpam-3005	102	35	,	,	PUNCT
ejpam-3005	102	36	j	j	PROPN
ejpam-3005	102	37	)	)	PUNCT
ejpam-3005	102	38	∈	∈	PROPN
ejpam-3005	102	39	n×	n×	PROPN
ejpam-3005	102	40	n	n	NOUN
ejpam-3005	102	41	:	:	PUNCT
ejpam-3005	102	42	m	m	VERB
ejpam-3005	102	43	(	(	PUNCT
ejpam-3005	102	44	µ(x	µ(x	ADJ
ejpam-3005	102	45	//	//	NUM
ejpam-3005	102	46	ij	ij	NOUN
ejpam-3005	102	47	−l	−l	NOUN
ejpam-3005	102	48	,	,	PUNCT
ejpam-3005	102	49	t	t	PROPN
ejpam-3005	102	50	)	)	PUNCT
ejpam-3005	102	51	ρ	ρ	PROPN
ejpam-3005	102	52	)	)	PUNCT
ejpam-3005	102	53	≤	≤	NOUN
ejpam-3005	102	54	1−	1−	NUM
ejpam-3005	102	55	ε	ε	PROPN
ejpam-3005	102	56	or	or	CCONJ
ejpam-3005	102	57	m	m	PROPN
ejpam-3005	102	58	(	(	PUNCT
ejpam-3005	103	1	ν(x	ν(x	PROPN
ejpam-3005	103	2	//	//	PUNCT
ejpam-3005	103	3	ij	ij	PROPN
ejpam-3005	103	4	−l	−l	PROPN
ejpam-3005	103	5	,	,	PUNCT
ejpam-3005	103	6	t	t	PROPN
ejpam-3005	103	7	)	)	PUNCT
ejpam-3005	103	8	ρ	ρ	PROPN
ejpam-3005	103	9	)	)	PUNCT
ejpam-3005	103	10	≥	≥	NOUN
ejpam-3005	103	11	ε	ε	PROPN
ejpam-3005	103	12	}	}	PUNCT
ejpam-3005	103	13	∈	∈	PROPN
ejpam-3005	103	14	i2	i2	PROPN
ejpam-3005	103	15	}	}	PUNCT
ejpam-3005	103	16	;	;	PUNCT
ejpam-3005	103	17	2zi0(µ,ν)(m	2zi0(µ,ν)(m	X
ejpam-3005	103	18	)	)	PUNCT
ejpam-3005	104	1	=	=	PRON
ejpam-3005	104	2	{	{	PUNCT
ejpam-3005	104	3	(	(	PUNCT
ejpam-3005	104	4	xij	xij	NOUN
ejpam-3005	104	5	)	)	PUNCT
ejpam-3005	104	6	∈	∈	PROPN
ejpam-3005	104	7	2ω	2ω	NUM
ejpam-3005	104	8	:	:	PUNCT
ejpam-3005	104	9	{	{	PUNCT
ejpam-3005	104	10	(	(	PUNCT
ejpam-3005	104	11	i	i	PROPN
ejpam-3005	104	12	,	,	PUNCT
ejpam-3005	104	13	j	j	PROPN
ejpam-3005	104	14	)	)	PUNCT
ejpam-3005	104	15	∈	∈	PROPN
ejpam-3005	104	16	n×	n×	PROPN
ejpam-3005	104	17	n	n	NOUN
ejpam-3005	104	18	:	:	PUNCT
ejpam-3005	104	19	m	m	VERB
ejpam-3005	104	20	(	(	PUNCT
ejpam-3005	104	21	µ(x	µ(x	ADJ
ejpam-3005	104	22	//	//	NUM
ejpam-3005	104	23	ij	ij	INTJ
ejpam-3005	104	24	,	,	PUNCT
ejpam-3005	104	25	t	t	PROPN
ejpam-3005	104	26	)	)	PUNCT
ejpam-3005	104	27	ρ	ρ	PROPN
ejpam-3005	104	28	)	)	PUNCT
ejpam-3005	104	29	≤	≤	NOUN
ejpam-3005	104	30	1−	1−	NUM
ejpam-3005	104	31	ε	ε	PROPN
ejpam-3005	104	32	or	or	CCONJ
ejpam-3005	104	33	m	m	PROPN
ejpam-3005	104	34	(	(	PUNCT
ejpam-3005	104	35	ν(x	ν(x	PROPN
ejpam-3005	104	36	//	//	PUNCT
ejpam-3005	104	37	ij	ij	INTJ
ejpam-3005	104	38	,	,	PUNCT
ejpam-3005	104	39	t	t	PROPN
ejpam-3005	104	40	)	)	PUNCT
ejpam-3005	104	41	ρ	ρ	PROPN
ejpam-3005	104	42	)	)	PUNCT
ejpam-3005	104	43	≥	≥	NOUN
ejpam-3005	104	44	ε	ε	PROPN
ejpam-3005	104	45	}	}	PUNCT
ejpam-3005	104	46	∈	∈	PROPN
ejpam-3005	104	47	i2	i2	PROPN
ejpam-3005	104	48	}	}	PUNCT
ejpam-3005	104	49	.	.	PUNCT
ejpam-3005	105	1	3	3	X
ejpam-3005	105	2	.	.	X
ejpam-3005	105	3	main	main	ADJ
ejpam-3005	105	4	results	result	NOUN
ejpam-3005	105	5	theorem	theorem	VERB
ejpam-3005	105	6	1	1	NUM
ejpam-3005	105	7	.	.	PUNCT
ejpam-3005	106	1	the	the	DET
ejpam-3005	106	2	spaces	space	NOUN
ejpam-3005	106	3	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	106	4	)	)	PUNCT
ejpam-3005	106	5	and	and	CCONJ
ejpam-3005	106	6	2zi0(µ,ν)(m	2zi0(µ,ν)(m	NUM
ejpam-3005	106	7	)	)	PUNCT
ejpam-3005	106	8	are	be	AUX
ejpam-3005	106	9	linear	linear	ADJ
ejpam-3005	106	10	spaces	space	NOUN
ejpam-3005	106	11	.	.	PUNCT
ejpam-3005	107	1	proof	proof	NOUN
ejpam-3005	107	2	.	.	PUNCT
ejpam-3005	108	1	we	we	PRON
ejpam-3005	108	2	prove	prove	VERB
ejpam-3005	108	3	the	the	DET
ejpam-3005	108	4	result	result	NOUN
ejpam-3005	108	5	for	for	ADP
ejpam-3005	108	6	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	108	7	)	)	PUNCT
ejpam-3005	108	8	.	.	PUNCT
ejpam-3005	109	1	similarly	similarly	ADV
ejpam-3005	109	2	the	the	DET
ejpam-3005	109	3	result	result	NOUN
ejpam-3005	109	4	can	can	AUX
ejpam-3005	109	5	be	be	AUX
ejpam-3005	109	6	proved	prove	VERB
ejpam-3005	109	7	for	for	ADP
ejpam-3005	109	8	2zi0(µ,ν)(m	2zi0(µ,ν)(m	NUM
ejpam-3005	109	9	)	)	PUNCT
ejpam-3005	109	10	.	.	PUNCT
ejpam-3005	110	1	let	let	VERB
ejpam-3005	110	2	(	(	PUNCT
ejpam-3005	110	3	x	x	SYM
ejpam-3005	110	4	//	//	NUM
ejpam-3005	110	5	ij	ij	NOUN
ejpam-3005	110	6	)	)	PUNCT
ejpam-3005	110	7	,	,	PUNCT
ejpam-3005	110	8	(	(	PUNCT
ejpam-3005	110	9	y	y	PROPN
ejpam-3005	110	10	//	//	NUM
ejpam-3005	110	11	ij	ij	NOUN
ejpam-3005	110	12	)	)	PUNCT
ejpam-3005	110	13	∈	∈	PROPN
ejpam-3005	110	14	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	110	15	)	)	PUNCT
ejpam-3005	110	16	and	and	CCONJ
ejpam-3005	110	17	let	let	VERB
ejpam-3005	110	18	α	α	PRON
ejpam-3005	110	19	,	,	PUNCT
ejpam-3005	110	20	β	β	X
ejpam-3005	110	21	be	be	AUX
ejpam-3005	110	22	scalars	scalar	NOUN
ejpam-3005	110	23	.	.	PUNCT
ejpam-3005	111	1	then	then	ADV
ejpam-3005	111	2	for	for	ADP
ejpam-3005	111	3	a	a	DET
ejpam-3005	111	4	given	give	VERB
ejpam-3005	111	5	ε	ε	PROPN
ejpam-3005	111	6	>	>	X
ejpam-3005	111	7	0	0	PROPN
ejpam-3005	111	8	,	,	PUNCT
ejpam-3005	111	9	we	we	PRON
ejpam-3005	111	10	have	have	VERB
ejpam-3005	111	11	a1	a1	NOUN
ejpam-3005	111	12	=	=	PUNCT
ejpam-3005	111	13	{	{	PUNCT
ejpam-3005	111	14	(	(	PUNCT
ejpam-3005	111	15	i	i	PROPN
ejpam-3005	111	16	,	,	PUNCT
ejpam-3005	111	17	j	j	PROPN
ejpam-3005	111	18	)	)	PUNCT
ejpam-3005	111	19	∈	∈	PROPN
ejpam-3005	111	20	n×	n×	PROPN
ejpam-3005	111	21	n	n	NOUN
ejpam-3005	111	22	:	:	PUNCT
ejpam-3005	111	23	m	m	VERB
ejpam-3005	111	24	(	(	PUNCT
ejpam-3005	111	25	µ	µ	X
ejpam-3005	111	26	(	(	PUNCT
ejpam-3005	111	27	x	x	SYM
ejpam-3005	111	28	//	//	PUNCT
ejpam-3005	111	29	ij	ij	X
ejpam-3005	111	30	−l1	−l1	PROPN
ejpam-3005	111	31	,	,	PUNCT
ejpam-3005	111	32	t	t	PROPN
ejpam-3005	111	33	2|α|	2|α|	NUM
ejpam-3005	111	34	)	)	PUNCT
ejpam-3005	111	35	ρ1	ρ1	NOUN
ejpam-3005	111	36	)	)	PUNCT
ejpam-3005	111	37	≤	≤	NOUN
ejpam-3005	111	38	1−	1−	NUM
ejpam-3005	111	39	ε	ε	PROPN
ejpam-3005	111	40	or	or	CCONJ
ejpam-3005	111	41	(	(	PUNCT
ejpam-3005	111	42	ν	ν	X
ejpam-3005	111	43	(	(	PUNCT
ejpam-3005	111	44	x	x	SYM
ejpam-3005	111	45	//	//	PUNCT
ejpam-3005	111	46	ij	ij	X
ejpam-3005	111	47	−l1	−l1	PROPN
ejpam-3005	111	48	,	,	PUNCT
ejpam-3005	111	49	t	t	PROPN
ejpam-3005	111	50	2|α|	2|α|	NUM
ejpam-3005	111	51	)	)	PUNCT
ejpam-3005	111	52	ρ1	ρ1	NOUN
ejpam-3005	111	53	)	)	PUNCT
ejpam-3005	111	54	≥	≥	NOUN
ejpam-3005	111	55	ε	ε	PROPN
ejpam-3005	111	56	}	}	PUNCT
ejpam-3005	111	57	∈	∈	PROPN
ejpam-3005	111	58	i2	i2	PROPN
ejpam-3005	111	59	;	;	PUNCT
ejpam-3005	111	60	a2	a2	PROPN
ejpam-3005	111	61	=	=	PRON
ejpam-3005	111	62	{	{	PUNCT
ejpam-3005	111	63	(	(	PUNCT
ejpam-3005	111	64	i	i	PROPN
ejpam-3005	111	65	,	,	PUNCT
ejpam-3005	111	66	j	j	PROPN
ejpam-3005	111	67	)	)	PUNCT
ejpam-3005	111	68	∈	∈	PROPN
ejpam-3005	111	69	n×	n×	PROPN
ejpam-3005	111	70	n	n	NOUN
ejpam-3005	111	71	:	:	PUNCT
ejpam-3005	111	72	m	m	VERB
ejpam-3005	111	73	(	(	PUNCT
ejpam-3005	111	74	µ	µ	X
ejpam-3005	111	75	(	(	PUNCT
ejpam-3005	111	76	y	y	PROPN
ejpam-3005	111	77	//	//	PROPN
ejpam-3005	111	78	ij	ij	X
ejpam-3005	111	79	−l2	−l2	PROPN
ejpam-3005	111	80	,	,	PUNCT
ejpam-3005	111	81	t	t	PROPN
ejpam-3005	111	82	2|β|	2|β|	NUM
ejpam-3005	111	83	)	)	PUNCT
ejpam-3005	111	84	ρ2	ρ2	NOUN
ejpam-3005	111	85	)	)	PUNCT
ejpam-3005	111	86	≤	≤	NOUN
ejpam-3005	111	87	1−	1−	NUM
ejpam-3005	111	88	ε	ε	PROPN
ejpam-3005	111	89	or	or	CCONJ
ejpam-3005	111	90	m	m	PROPN
ejpam-3005	111	91	(	(	PUNCT
ejpam-3005	111	92	ν	ν	X
ejpam-3005	111	93	(	(	PUNCT
ejpam-3005	111	94	y	y	PROPN
ejpam-3005	111	95	//	//	PROPN
ejpam-3005	111	96	ij	ij	X
ejpam-3005	111	97	−l2	−l2	PROPN
ejpam-3005	111	98	,	,	PUNCT
ejpam-3005	111	99	t	t	PROPN
ejpam-3005	111	100	2|β|	2|β|	NUM
ejpam-3005	111	101	)	)	PUNCT
ejpam-3005	111	102	ρ2	ρ2	NOUN
ejpam-3005	111	103	)	)	PUNCT
ejpam-3005	111	104	≥	≥	NOUN
ejpam-3005	111	105	ε	ε	PROPN
ejpam-3005	111	106	}	}	PUNCT
ejpam-3005	111	107	∈	∈	PROPN
ejpam-3005	111	108	i2	i2	NOUN
ejpam-3005	111	109	.	.	PUNCT
ejpam-3005	112	1	thus	thus	ADV
ejpam-3005	112	2	ac1	ac1	PROPN
ejpam-3005	112	3	=	=	PRON
ejpam-3005	112	4	{	{	PUNCT
ejpam-3005	112	5	(	(	PUNCT
ejpam-3005	112	6	i	i	PROPN
ejpam-3005	112	7	,	,	PUNCT
ejpam-3005	112	8	j	j	PROPN
ejpam-3005	112	9	)	)	PUNCT
ejpam-3005	112	10	∈	∈	PROPN
ejpam-3005	112	11	n×	n×	PROPN
ejpam-3005	112	12	n	n	NOUN
ejpam-3005	112	13	:	:	PUNCT
ejpam-3005	112	14	m	m	VERB
ejpam-3005	112	15	(	(	PUNCT
ejpam-3005	112	16	µ	µ	X
ejpam-3005	112	17	(	(	PUNCT
ejpam-3005	112	18	x	x	SYM
ejpam-3005	112	19	//	//	PUNCT
ejpam-3005	112	20	ij	ij	X
ejpam-3005	112	21	−l1	−l1	PROPN
ejpam-3005	112	22	,	,	PUNCT
ejpam-3005	112	23	t	t	PROPN
ejpam-3005	112	24	2|α|	2|α|	NUM
ejpam-3005	112	25	)	)	PUNCT
ejpam-3005	112	26	ρ1	ρ1	NOUN
ejpam-3005	112	27	)	)	PUNCT
ejpam-3005	112	28	>	>	X
ejpam-3005	112	29	1−	1−	NUM
ejpam-3005	112	30	ε	ε	PROPN
ejpam-3005	112	31	or	or	CCONJ
ejpam-3005	112	32	m	m	PROPN
ejpam-3005	112	33	(	(	PUNCT
ejpam-3005	112	34	ν	ν	X
ejpam-3005	112	35	(	(	PUNCT
ejpam-3005	112	36	x	x	SYM
ejpam-3005	112	37	//	//	PUNCT
ejpam-3005	112	38	ij	ij	X
ejpam-3005	112	39	−l1	−l1	PROPN
ejpam-3005	112	40	,	,	PUNCT
ejpam-3005	112	41	t	t	PROPN
ejpam-3005	112	42	2|α|	2|α|	NUM
ejpam-3005	112	43	)	)	PUNCT
ejpam-3005	112	44	ρ1	ρ1	NOUN
ejpam-3005	112	45	)	)	PUNCT
ejpam-3005	112	46	<	<	X
ejpam-3005	112	47	ε	ε	PROPN
ejpam-3005	112	48	}	}	PUNCT
ejpam-3005	112	49	∈	∈	PROPN
ejpam-3005	112	50	f(i2	f(i2	NOUN
ejpam-3005	112	51	)	)	PUNCT
ejpam-3005	112	52	;	;	PUNCT
ejpam-3005	112	53	ac2	ac2	PROPN
ejpam-3005	112	54	=	=	PRON
ejpam-3005	112	55	{	{	PUNCT
ejpam-3005	112	56	(	(	PUNCT
ejpam-3005	112	57	i	i	PROPN
ejpam-3005	112	58	,	,	PUNCT
ejpam-3005	112	59	j	j	PROPN
ejpam-3005	112	60	)	)	PUNCT
ejpam-3005	112	61	∈	∈	PROPN
ejpam-3005	112	62	n×	n×	PROPN
ejpam-3005	112	63	n	n	NOUN
ejpam-3005	112	64	:	:	PUNCT
ejpam-3005	112	65	m	m	VERB
ejpam-3005	112	66	(	(	PUNCT
ejpam-3005	112	67	µ	µ	X
ejpam-3005	112	68	(	(	PUNCT
ejpam-3005	112	69	y	y	PROPN
ejpam-3005	112	70	//	//	PROPN
ejpam-3005	112	71	ij	ij	X
ejpam-3005	112	72	−l2	−l2	PROPN
ejpam-3005	112	73	,	,	PUNCT
ejpam-3005	112	74	t	t	PROPN
ejpam-3005	112	75	2|β|	2|β|	NUM
ejpam-3005	112	76	)	)	PUNCT
ejpam-3005	112	77	ρ2	ρ2	NOUN
ejpam-3005	112	78	)	)	PUNCT
ejpam-3005	112	79	>	>	X
ejpam-3005	112	80	1−	1−	NUM
ejpam-3005	112	81	ε	ε	PROPN
ejpam-3005	112	82	or	or	CCONJ
ejpam-3005	112	83	m	m	PROPN
ejpam-3005	112	84	(	(	PUNCT
ejpam-3005	112	85	ν	ν	X
ejpam-3005	112	86	(	(	PUNCT
ejpam-3005	112	87	y	y	PROPN
ejpam-3005	112	88	//	//	PROPN
ejpam-3005	112	89	ij	ij	X
ejpam-3005	112	90	−l2	−l2	PROPN
ejpam-3005	112	91	,	,	PUNCT
ejpam-3005	112	92	t	t	PROPN
ejpam-3005	112	93	2|β|	2|β|	NUM
ejpam-3005	112	94	)	)	PUNCT
ejpam-3005	112	95	ρ2	ρ2	NOUN
ejpam-3005	112	96	)	)	PUNCT
ejpam-3005	112	97	<	<	X
ejpam-3005	112	98	ε	ε	PROPN
ejpam-3005	112	99	}	}	PUNCT
ejpam-3005	112	100	∈	∈	PROPN
ejpam-3005	112	101	f(i2	f(i2	NOUN
ejpam-3005	112	102	)	)	PUNCT
ejpam-3005	112	103	.	.	PUNCT
ejpam-3005	113	1	define	define	VERB
ejpam-3005	113	2	the	the	DET
ejpam-3005	113	3	set	set	NOUN
ejpam-3005	113	4	a3	a3	NOUN
ejpam-3005	113	5	=	=	NOUN
ejpam-3005	113	6	a1	a1	NOUN
ejpam-3005	113	7	∪	∪	NOUN
ejpam-3005	113	8	a2	a2	PROPN
ejpam-3005	113	9	,	,	PUNCT
ejpam-3005	113	10	so	so	SCONJ
ejpam-3005	113	11	that	that	SCONJ
ejpam-3005	113	12	a3	a3	NOUN
ejpam-3005	113	13	∈	∈	PROPN
ejpam-3005	113	14	i2	i2	PROPN
ejpam-3005	113	15	.	.	PUNCT
ejpam-3005	114	1	it	it	PRON
ejpam-3005	114	2	follows	follow	VERB
ejpam-3005	114	3	that	that	SCONJ
ejpam-3005	114	4	ac3	ac3	PROPN
ejpam-3005	114	5	is	be	AUX
ejpam-3005	114	6	a	a	DET
ejpam-3005	114	7	non	non	ADJ
ejpam-3005	114	8	-	-	ADJ
ejpam-3005	114	9	empty	empty	ADJ
ejpam-3005	114	10	set	set	NOUN
ejpam-3005	114	11	in	in	ADP
ejpam-3005	114	12	f(i2	f(i2	NOUN
ejpam-3005	114	13	)	)	PUNCT
ejpam-3005	114	14	.	.	PUNCT
ejpam-3005	115	1	we	we	PRON
ejpam-3005	115	2	shall	shall	AUX
ejpam-3005	115	3	show	show	VERB
ejpam-3005	115	4	that	that	SCONJ
ejpam-3005	115	5	for	for	ADP
ejpam-3005	115	6	ρ3	ρ3	NOUN
ejpam-3005	115	7	=	=	PUNCT
ejpam-3005	116	1	max{2	max{2	PROPN
ejpam-3005	117	1	|	|	ADV
ejpam-3005	117	2	α	α	NOUN
ejpam-3005	117	3	|	|	NOUN
ejpam-3005	117	4	ρ1	ρ1	NOUN
ejpam-3005	117	5	,	,	PUNCT
ejpam-3005	117	6	2	2	NUM
ejpam-3005	117	7	|	|	ADV
ejpam-3005	117	8	β	β	X
ejpam-3005	117	9	|	|	NOUN
ejpam-3005	117	10	ρ2	ρ2	VERB
ejpam-3005	117	11	}	}	PUNCT
ejpam-3005	117	12	and	and	CCONJ
ejpam-3005	117	13	for	for	ADP
ejpam-3005	117	14	each	each	PRON
ejpam-3005	117	15	(	(	PUNCT
ejpam-3005	117	16	x	x	SYM
ejpam-3005	117	17	//	//	NUM
ejpam-3005	117	18	ij	ij	NOUN
ejpam-3005	117	19	)	)	PUNCT
ejpam-3005	117	20	,	,	PUNCT
ejpam-3005	117	21	(	(	PUNCT
ejpam-3005	117	22	y	y	PROPN
ejpam-3005	117	23	//	//	NUM
ejpam-3005	117	24	ij	ij	NOUN
ejpam-3005	117	25	)	)	PUNCT
ejpam-3005	117	26	∈	∈	PROPN
ejpam-3005	117	27	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	117	28	)	)	PUNCT
ejpam-3005	117	29	,	,	PUNCT
ejpam-3005	118	1	ac3	ac3	PROPN
ejpam-3005	118	2	⊂	⊂	PROPN
ejpam-3005	118	3	{	{	PUNCT
ejpam-3005	118	4	(	(	PUNCT
ejpam-3005	118	5	i	i	PROPN
ejpam-3005	118	6	,	,	PUNCT
ejpam-3005	118	7	j	j	PROPN
ejpam-3005	118	8	)	)	PUNCT
ejpam-3005	118	9	∈	∈	PROPN
ejpam-3005	118	10	n×	n×	PROPN
ejpam-3005	118	11	n	n	NOUN
ejpam-3005	118	12	:	:	PUNCT
ejpam-3005	118	13	m	m	VERB
ejpam-3005	118	14	(	(	PUNCT
ejpam-3005	118	15	µ	µ	X
ejpam-3005	118	16	(	(	PUNCT
ejpam-3005	118	17	(	(	PUNCT
ejpam-3005	118	18	αx	αx	ADV
ejpam-3005	118	19	//	//	NUM
ejpam-3005	118	20	ij	ij	INTJ
ejpam-3005	118	21	+	+	ADV
ejpam-3005	118	22	βy	βy	PRON
ejpam-3005	118	23	//	//	ADJ
ejpam-3005	118	24	ij	ij	NOUN
ejpam-3005	118	25	)	)	PUNCT
ejpam-3005	118	26	−(αl1+βl2),t	−(αl1+βl2),t	NOUN
ejpam-3005	118	27	)	)	PUNCT
ejpam-3005	118	28	ρ3	ρ3	NOUN
ejpam-3005	118	29	)	)	PUNCT
ejpam-3005	118	30	>	>	X
ejpam-3005	119	1	1−	1−	NUM
ejpam-3005	119	2	ε	ε	PROPN
ejpam-3005	119	3	or	or	CCONJ
ejpam-3005	119	4	m	m	PROPN
ejpam-3005	119	5	(	(	PUNCT
ejpam-3005	119	6	ν((αx//ij	ν((αx//ij	PROPN
ejpam-3005	119	7	+	+	CCONJ
ejpam-3005	119	8	βy	βy	PRON
ejpam-3005	119	9	//	//	NUM
ejpam-3005	119	10	ij	ij	NOUN
ejpam-3005	119	11	)	)	PUNCT
ejpam-3005	119	12	−	−	PROPN
ejpam-3005	119	13	(	(	PUNCT
ejpam-3005	119	14	αl1	αl1	X
ejpam-3005	119	15	+	+	CCONJ
ejpam-3005	119	16	βl2	βl2	X
ejpam-3005	119	17	)	)	PUNCT
ejpam-3005	119	18	,	,	PUNCT
ejpam-3005	119	19	t	t	NOUN
ejpam-3005	119	20	)	)	PUNCT
ejpam-3005	119	21	ρ3	ρ3	NOUN
ejpam-3005	119	22	)	)	PUNCT
ejpam-3005	119	23	<	<	X
ejpam-3005	119	24	ε	ε	PROPN
ejpam-3005	119	25	}	}	PUNCT
ejpam-3005	119	26	.	.	PUNCT
ejpam-3005	120	1	let	let	VERB
ejpam-3005	120	2	(	(	PUNCT
ejpam-3005	120	3	m	m	NOUN
ejpam-3005	120	4	,	,	PUNCT
ejpam-3005	120	5	n	n	CCONJ
ejpam-3005	120	6	)	)	PUNCT
ejpam-3005	120	7	∈	∈	PROPN
ejpam-3005	120	8	ai3	ai3	NOUN
ejpam-3005	120	9	.	.	PUNCT
ejpam-3005	121	1	in	in	ADP
ejpam-3005	121	2	this	this	DET
ejpam-3005	121	3	case	case	NOUN
ejpam-3005	121	4	v.	v.	ADP
ejpam-3005	121	5	a.	a.	PROPN
ejpam-3005	121	6	khan	khan	PROPN
ejpam-3005	121	7	,	,	PUNCT
ejpam-3005	121	8	yasmeen	yasmeen	PROPN
ejpam-3005	121	9	,	,	PUNCT
ejpam-3005	121	10	h.	h.	PROPN
ejpam-3005	121	11	fatima	fatima	PROPN
ejpam-3005	121	12	,	,	PUNCT
ejpam-3005	121	13	a.	a.	PROPN
ejpam-3005	121	14	ahmad	ahmad	PROPN
ejpam-3005	121	15	/	/	SYM
ejpam-3005	121	16	eur	eur	PROPN
ejpam-3005	121	17	.	.	PUNCT
ejpam-3005	122	1	j.	j.	PROPN
ejpam-3005	122	2	pure	pure	PROPN
ejpam-3005	122	3	appl	appl	PROPN
ejpam-3005	122	4	.	.	PROPN
ejpam-3005	122	5	math	math	PROPN
ejpam-3005	122	6	,	,	PUNCT
ejpam-3005	122	7	10	10	NUM
ejpam-3005	122	8	(	(	PUNCT
ejpam-3005	122	9	3	3	NUM
ejpam-3005	122	10	)	)	PUNCT
ejpam-3005	122	11	(	(	PUNCT
ejpam-3005	122	12	2017	2017	NUM
ejpam-3005	122	13	)	)	PUNCT
ejpam-3005	122	14	,	,	PUNCT
ejpam-3005	122	15	574	574	NUM
ejpam-3005	122	16	-	-	SYM
ejpam-3005	122	17	585	585	NUM
ejpam-3005	122	18	579	579	NUM
ejpam-3005	122	19	m	m	NOUN
ejpam-3005	122	20	(	(	PUNCT
ejpam-3005	122	21	µ(x//mn	µ(x//mn	ADP
ejpam-3005	122	22	−	−	PROPN
ejpam-3005	122	23	l1	l1	PROPN
ejpam-3005	122	24	,	,	PUNCT
ejpam-3005	122	25	t	t	PROPN
ejpam-3005	122	26	2|α|	2|α|	NUM
ejpam-3005	122	27	)	)	PUNCT
ejpam-3005	122	28	ρ3	ρ3	NOUN
ejpam-3005	122	29	)	)	PUNCT
ejpam-3005	122	30	>	>	X
ejpam-3005	123	1	1−	1−	NUM
ejpam-3005	123	2	ε	ε	PROPN
ejpam-3005	123	3	or	or	CCONJ
ejpam-3005	123	4	m	m	PROPN
ejpam-3005	123	5	(	(	PUNCT
ejpam-3005	123	6	ν(x//mn	ν(x//mn	PRON
ejpam-3005	123	7	−	−	PROPN
ejpam-3005	123	8	l1	l1	PROPN
ejpam-3005	123	9	,	,	PUNCT
ejpam-3005	123	10	t	t	PROPN
ejpam-3005	123	11	2|α|	2|α|	NUM
ejpam-3005	123	12	)	)	PUNCT
ejpam-3005	123	13	ρ3	ρ3	NOUN
ejpam-3005	123	14	)	)	PUNCT
ejpam-3005	123	15	<	<	X
ejpam-3005	123	16	ε	ε	PROPN
ejpam-3005	123	17	and	and	CCONJ
ejpam-3005	123	18	m	m	PROPN
ejpam-3005	123	19	(	(	PUNCT
ejpam-3005	123	20	µ(y//mn	µ(y//mn	ADP
ejpam-3005	123	21	−	−	PROPN
ejpam-3005	123	22	l2	l2	NOUN
ejpam-3005	123	23	,	,	PUNCT
ejpam-3005	123	24	t	t	PROPN
ejpam-3005	123	25	2|β|	2|β|	NUM
ejpam-3005	123	26	)	)	PUNCT
ejpam-3005	123	27	ρ3	ρ3	NOUN
ejpam-3005	123	28	)	)	PUNCT
ejpam-3005	123	29	>	>	X
ejpam-3005	123	30	1−	1−	NUM
ejpam-3005	123	31	ε	ε	PROPN
ejpam-3005	123	32	or	or	CCONJ
ejpam-3005	123	33	m	m	PROPN
ejpam-3005	123	34	(	(	PUNCT
ejpam-3005	123	35	ν(y//mn	ν(y//mn	PROPN
ejpam-3005	123	36	−	−	PROPN
ejpam-3005	123	37	l2	l2	NOUN
ejpam-3005	123	38	,	,	PUNCT
ejpam-3005	123	39	t	t	PROPN
ejpam-3005	123	40	2|β|	2|β|	NUM
ejpam-3005	123	41	)	)	PUNCT
ejpam-3005	123	42	ρ3	ρ3	NOUN
ejpam-3005	123	43	)	)	PUNCT
ejpam-3005	123	44	<	<	X
ejpam-3005	123	45	ε	ε	PROPN
ejpam-3005	123	46	.	.	PUNCT
ejpam-3005	124	1	we	we	PRON
ejpam-3005	124	2	have	have	VERB
ejpam-3005	124	3	m	m	PROPN
ejpam-3005	124	4	(	(	PUNCT
ejpam-3005	124	5	µ	µ	X
ejpam-3005	124	6	(	(	PUNCT
ejpam-3005	124	7	(	(	PUNCT
ejpam-3005	124	8	αx	αx	ADV
ejpam-3005	124	9	//	//	NUM
ejpam-3005	124	10	mn+βy	mn+βy	PROPN
ejpam-3005	124	11	//	//	NUM
ejpam-3005	124	12	mn)−(αl1+βl2),t	mn)−(αl1+βl2),t	PROPN
ejpam-3005	124	13	)	)	PUNCT
ejpam-3005	124	14	ρ3	ρ3	NOUN
ejpam-3005	124	15	)	)	PUNCT
ejpam-3005	124	16	≥m	≥m	NOUN
ejpam-3005	124	17	(	(	PUNCT
ejpam-3005	124	18	µ	µ	X
ejpam-3005	124	19	(	(	PUNCT
ejpam-3005	124	20	αx	αx	PROPN
ejpam-3005	124	21	//	//	SYM
ejpam-3005	124	22	mn−αl1	mn−αl1	PROPN
ejpam-3005	124	23	,	,	PUNCT
ejpam-3005	124	24	t	t	PROPN
ejpam-3005	124	25	2	2	NUM
ejpam-3005	124	26	)	)	PUNCT
ejpam-3005	124	27	ρ3	ρ3	NOUN
ejpam-3005	124	28	)	)	PUNCT
ejpam-3005	124	29	∗m	∗m	NOUN
ejpam-3005	124	30	(	(	PUNCT
ejpam-3005	124	31	µ	µ	X
ejpam-3005	124	32	(	(	PUNCT
ejpam-3005	124	33	βy	βy	PRON
ejpam-3005	124	34	//	//	X
ejpam-3005	124	35	mn−βl2	mn−βl2	PROPN
ejpam-3005	124	36	,	,	PUNCT
ejpam-3005	124	37	t	t	PROPN
ejpam-3005	124	38	2	2	NUM
ejpam-3005	124	39	)	)	PUNCT
ejpam-3005	124	40	ρ3	ρ3	NOUN
ejpam-3005	124	41	)	)	PUNCT
ejpam-3005	125	1	=	=	SYM
ejpam-3005	125	2	m	m	PROPN
ejpam-3005	125	3	(	(	PUNCT
ejpam-3005	125	4	µ	µ	X
ejpam-3005	125	5	(	(	PUNCT
ejpam-3005	125	6	x	x	SYM
ejpam-3005	125	7	//	//	SYM
ejpam-3005	125	8	mn−l1	mn−l1	PROPN
ejpam-3005	125	9	,	,	PUNCT
ejpam-3005	125	10	t	t	PROPN
ejpam-3005	125	11	2|α|	2|α|	NUM
ejpam-3005	125	12	)	)	PUNCT
ejpam-3005	125	13	ρ3	ρ3	NOUN
ejpam-3005	125	14	)	)	PUNCT
ejpam-3005	125	15	∗m	∗m	NOUN
ejpam-3005	125	16	(	(	PUNCT
ejpam-3005	125	17	µ	µ	X
ejpam-3005	125	18	(	(	PUNCT
ejpam-3005	125	19	y	y	PROPN
ejpam-3005	125	20	//	//	PUNCT
ejpam-3005	125	21	mn−l2	mn−l2	PROPN
ejpam-3005	125	22	,	,	PUNCT
ejpam-3005	125	23	t	t	PROPN
ejpam-3005	125	24	2|β|	2|β|	NUM
ejpam-3005	125	25	)	)	PUNCT
ejpam-3005	125	26	ρ3	ρ3	NOUN
ejpam-3005	125	27	)	)	PUNCT
ejpam-3005	125	28	>	>	X
ejpam-3005	125	29	(	(	PUNCT
ejpam-3005	125	30	1−	1−	NUM
ejpam-3005	125	31	ε	ε	PROPN
ejpam-3005	125	32	)	)	PUNCT
ejpam-3005	125	33	∗	∗	NOUN
ejpam-3005	125	34	(	(	PUNCT
ejpam-3005	125	35	1−	1−	NUM
ejpam-3005	125	36	ε	ε	PROPN
ejpam-3005	125	37	)	)	PUNCT
ejpam-3005	125	38	=	=	PUNCT
ejpam-3005	125	39	(	(	PUNCT
ejpam-3005	125	40	1−	1−	NUM
ejpam-3005	125	41	ε	ε	PROPN
ejpam-3005	125	42	)	)	PUNCT
ejpam-3005	125	43	and	and	CCONJ
ejpam-3005	125	44	m	m	PROPN
ejpam-3005	125	45	(	(	PUNCT
ejpam-3005	125	46	ν	ν	X
ejpam-3005	125	47	(	(	PUNCT
ejpam-3005	125	48	(	(	PUNCT
ejpam-3005	125	49	αx	αx	ADV
ejpam-3005	125	50	//	//	NUM
ejpam-3005	125	51	mn+βy	mn+βy	PROPN
ejpam-3005	125	52	//	//	NUM
ejpam-3005	125	53	mn)−(αl1+βl2),t	mn)−(αl1+βl2),t	PROPN
ejpam-3005	125	54	)	)	PUNCT
ejpam-3005	125	55	ρ3	ρ3	NOUN
ejpam-3005	125	56	)	)	PUNCT
ejpam-3005	125	57	≤m	≤m	NOUN
ejpam-3005	125	58	(	(	PUNCT
ejpam-3005	125	59	ν	ν	X
ejpam-3005	125	60	(	(	PUNCT
ejpam-3005	125	61	αx	αx	ADV
ejpam-3005	125	62	//	//	SYM
ejpam-3005	125	63	mn−αl1	mn−αl1	PROPN
ejpam-3005	125	64	,	,	PUNCT
ejpam-3005	125	65	t	t	PROPN
ejpam-3005	125	66	2	2	NUM
ejpam-3005	125	67	)	)	PUNCT
ejpam-3005	125	68	ρ3	ρ3	NOUN
ejpam-3005	125	69	)	)	PUNCT
ejpam-3005	125	70	�	�	PROPN
ejpam-3005	125	71	m	m	VERB
ejpam-3005	125	72	(	(	PUNCT
ejpam-3005	125	73	ν	ν	X
ejpam-3005	125	74	(	(	PUNCT
ejpam-3005	125	75	βy	βy	PRON
ejpam-3005	125	76	//	//	PROPN
ejpam-3005	125	77	mn−βl2	mn−βl2	PROPN
ejpam-3005	125	78	,	,	PUNCT
ejpam-3005	125	79	t	t	PROPN
ejpam-3005	125	80	2	2	NUM
ejpam-3005	125	81	)	)	PUNCT
ejpam-3005	125	82	ρ3	ρ3	NOUN
ejpam-3005	125	83	)	)	PUNCT
ejpam-3005	126	1	=	=	SYM
ejpam-3005	126	2	m	m	PROPN
ejpam-3005	126	3	(	(	PUNCT
ejpam-3005	126	4	ν	ν	X
ejpam-3005	126	5	(	(	PUNCT
ejpam-3005	126	6	x	x	SYM
ejpam-3005	126	7	//	//	SYM
ejpam-3005	126	8	mn−l1	mn−l1	PROPN
ejpam-3005	126	9	,	,	PUNCT
ejpam-3005	126	10	t	t	PROPN
ejpam-3005	126	11	2|α|	2|α|	NUM
ejpam-3005	126	12	)	)	PUNCT
ejpam-3005	126	13	ρ3	ρ3	NOUN
ejpam-3005	126	14	)	)	PUNCT
ejpam-3005	126	15	�	�	PROPN
ejpam-3005	126	16	m	m	VERB
ejpam-3005	126	17	(	(	PUNCT
ejpam-3005	126	18	ν	ν	X
ejpam-3005	126	19	(	(	PUNCT
ejpam-3005	126	20	y	y	PROPN
ejpam-3005	126	21	//	//	PUNCT
ejpam-3005	126	22	mn−l2	mn−l2	PROPN
ejpam-3005	126	23	,	,	PUNCT
ejpam-3005	126	24	t	t	PROPN
ejpam-3005	126	25	2|β|	2|β|	NUM
ejpam-3005	126	26	)	)	PUNCT
ejpam-3005	126	27	ρ3	ρ3	NOUN
ejpam-3005	126	28	)	)	PUNCT
ejpam-3005	126	29	>	>	PUNCT
ejpam-3005	126	30	ε	ε	PROPN
ejpam-3005	126	31	�	�	PROPN
ejpam-3005	126	32	ε	ε	PROPN
ejpam-3005	126	33	=	=	SYM
ejpam-3005	126	34	ε	ε	PROPN
ejpam-3005	126	35	.	.	PUNCT
ejpam-3005	127	1	this	this	PRON
ejpam-3005	127	2	implies	imply	VERB
ejpam-3005	127	3	that	that	SCONJ
ejpam-3005	127	4	ac3	ac3	PROPN
ejpam-3005	127	5	⊂	⊂	PROPN
ejpam-3005	127	6	{	{	PUNCT
ejpam-3005	127	7	(	(	PUNCT
ejpam-3005	127	8	i	i	PROPN
ejpam-3005	127	9	,	,	PUNCT
ejpam-3005	127	10	j	j	PROPN
ejpam-3005	127	11	)	)	PUNCT
ejpam-3005	127	12	∈	∈	PROPN
ejpam-3005	127	13	n×	n×	PROPN
ejpam-3005	127	14	n	n	NOUN
ejpam-3005	127	15	:	:	PUNCT
ejpam-3005	127	16	m	m	VERB
ejpam-3005	127	17	(	(	PUNCT
ejpam-3005	127	18	µ	µ	X
ejpam-3005	127	19	(	(	PUNCT
ejpam-3005	127	20	(	(	PUNCT
ejpam-3005	127	21	αx	αx	ADV
ejpam-3005	127	22	//	//	NUM
ejpam-3005	127	23	ij	ij	INTJ
ejpam-3005	128	1	+	+	ADV
ejpam-3005	128	2	βy	βy	PRON
ejpam-3005	128	3	//	//	ADJ
ejpam-3005	128	4	ij	ij	NOUN
ejpam-3005	128	5	)	)	PUNCT
ejpam-3005	128	6	−(αl1+βl2),t	−(αl1+βl2),t	NOUN
ejpam-3005	128	7	)	)	PUNCT
ejpam-3005	128	8	ρ3	ρ3	NOUN
ejpam-3005	128	9	)	)	PUNCT
ejpam-3005	128	10	>	>	X
ejpam-3005	129	1	1−	1−	NUM
ejpam-3005	129	2	ε	ε	PROPN
ejpam-3005	129	3	or	or	CCONJ
ejpam-3005	129	4	m	m	PROPN
ejpam-3005	129	5	(	(	PUNCT
ejpam-3005	129	6	ν((αx//ij	ν((αx//ij	PROPN
ejpam-3005	129	7	+	+	CCONJ
ejpam-3005	129	8	βy	βy	PRON
ejpam-3005	129	9	//	//	NUM
ejpam-3005	129	10	ij	ij	NOUN
ejpam-3005	129	11	)	)	PUNCT
ejpam-3005	129	12	−	−	PROPN
ejpam-3005	129	13	(	(	PUNCT
ejpam-3005	129	14	αl1	αl1	X
ejpam-3005	129	15	+	+	CCONJ
ejpam-3005	129	16	βl2	βl2	X
ejpam-3005	129	17	)	)	PUNCT
ejpam-3005	129	18	,	,	PUNCT
ejpam-3005	129	19	t	t	NOUN
ejpam-3005	129	20	)	)	PUNCT
ejpam-3005	129	21	ρ3	ρ3	NOUN
ejpam-3005	129	22	)	)	PUNCT
ejpam-3005	129	23	<	<	X
ejpam-3005	129	24	ε	ε	PROPN
ejpam-3005	129	25	}	}	PUNCT
ejpam-3005	129	26	.	.	PUNCT
ejpam-3005	130	1	hence	hence	ADV
ejpam-3005	130	2	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	130	3	)	)	PUNCT
ejpam-3005	130	4	is	be	AUX
ejpam-3005	130	5	a	a	DET
ejpam-3005	130	6	linear	linear	ADJ
ejpam-3005	130	7	space	space	NOUN
ejpam-3005	130	8	.	.	PUNCT
ejpam-3005	131	1	theorem	theorem	NOUN
ejpam-3005	131	2	2	2	NUM
ejpam-3005	131	3	.	.	PUNCT
ejpam-3005	132	1	every	every	DET
ejpam-3005	132	2	open	open	ADJ
ejpam-3005	132	3	ball	ball	NOUN
ejpam-3005	132	4	2bx//(r	2bx//(r	NUM
ejpam-3005	132	5	,	,	PUNCT
ejpam-3005	132	6	t)(m	t)(m	NUM
ejpam-3005	132	7	)	)	PUNCT
ejpam-3005	132	8	is	be	AUX
ejpam-3005	132	9	an	an	DET
ejpam-3005	132	10	open	open	ADJ
ejpam-3005	132	11	set	set	NOUN
ejpam-3005	132	12	in	in	ADP
ejpam-3005	132	13	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	132	14	)	)	PUNCT
ejpam-3005	132	15	.	.	PUNCT
ejpam-3005	133	1	proof	proof	NOUN
ejpam-3005	133	2	.	.	PUNCT
ejpam-3005	134	1	let	let	VERB
ejpam-3005	134	2	2bx//(r	2bx//(r	NUM
ejpam-3005	134	3	,	,	PUNCT
ejpam-3005	134	4	t)(m	t)(m	NUM
ejpam-3005	134	5	)	)	PUNCT
ejpam-3005	134	6	be	be	AUX
ejpam-3005	134	7	an	an	DET
ejpam-3005	134	8	open	open	ADJ
ejpam-3005	134	9	ball	ball	NOUN
ejpam-3005	134	10	with	with	ADP
ejpam-3005	134	11	centre	centre	NOUN
ejpam-3005	134	12	x//	x//	PROPN
ejpam-3005	134	13	and	and	CCONJ
ejpam-3005	134	14	radius	radius	NOUN
ejpam-3005	134	15	r	r	NOUN
ejpam-3005	134	16	with	with	ADP
ejpam-3005	134	17	respect	respect	NOUN
ejpam-3005	134	18	to	to	ADP
ejpam-3005	134	19	t.	t.	NOUN
ejpam-3005	134	20	that	that	PRON
ejpam-3005	134	21	is	be	AUX
ejpam-3005	134	22	2bx//(r	2bx//(r	NUM
ejpam-3005	134	23	,	,	PUNCT
ejpam-3005	134	24	t)(m	t)(m	NUM
ejpam-3005	134	25	)	)	PUNCT
ejpam-3005	135	1	=	=	PRON
ejpam-3005	135	2	{	{	PUNCT
ejpam-3005	135	3	(	(	PUNCT
ejpam-3005	135	4	i	i	PROPN
ejpam-3005	135	5	,	,	PUNCT
ejpam-3005	135	6	j	j	PROPN
ejpam-3005	135	7	)	)	PUNCT
ejpam-3005	135	8	∈	∈	PROPN
ejpam-3005	135	9	n×	n×	PROPN
ejpam-3005	135	10	n	n	NOUN
ejpam-3005	135	11	:	:	PUNCT
ejpam-3005	135	12	m	m	VERB
ejpam-3005	135	13	(	(	PUNCT
ejpam-3005	135	14	µ(x	µ(x	ADJ
ejpam-3005	135	15	//	//	NOUN
ejpam-3005	135	16	ij	ij	ADP
ejpam-3005	135	17	−	−	PROPN
ejpam-3005	135	18	l	l	PROPN
ejpam-3005	135	19	,	,	PUNCT
ejpam-3005	135	20	t	t	PROPN
ejpam-3005	135	21	)	)	PUNCT
ejpam-3005	135	22	ρ	ρ	PROPN
ejpam-3005	135	23	)	)	PUNCT
ejpam-3005	135	24	≤	≤	NOUN
ejpam-3005	135	25	1−	1−	NUM
ejpam-3005	135	26	r	r	NOUN
ejpam-3005	135	27	or	or	CCONJ
ejpam-3005	135	28	m	m	PROPN
ejpam-3005	135	29	(	(	PUNCT
ejpam-3005	135	30	ν(x	ν(x	PROPN
ejpam-3005	135	31	//	//	PUNCT
ejpam-3005	135	32	ij	ij	INTJ
ejpam-3005	135	33	−	−	PROPN
ejpam-3005	135	34	l	l	PROPN
ejpam-3005	135	35	,	,	PUNCT
ejpam-3005	135	36	t	t	PROPN
ejpam-3005	135	37	)	)	PUNCT
ejpam-3005	135	38	ρ	ρ	PROPN
ejpam-3005	135	39	)	)	PUNCT
ejpam-3005	135	40	≥	≥	NOUN
ejpam-3005	135	41	r	r	NOUN
ejpam-3005	135	42	}	}	PUNCT
ejpam-3005	135	43	∈	∈	PROPN
ejpam-3005	135	44	i2	i2	NOUN
ejpam-3005	135	45	.	.	PUNCT
ejpam-3005	136	1	let	let	VERB
ejpam-3005	136	2	y//	y//	PRON
ejpam-3005	136	3	∈	∈	PROPN
ejpam-3005	136	4	2b	2b	NOUN
ejpam-3005	136	5	c	c	NOUN
ejpam-3005	136	6	x//	x//	PROPN
ejpam-3005	137	1	(	(	PUNCT
ejpam-3005	137	2	r	r	NOUN
ejpam-3005	137	3	,	,	PUNCT
ejpam-3005	137	4	t)(m	t)(m	NUM
ejpam-3005	137	5	)	)	PUNCT
ejpam-3005	137	6	.	.	PUNCT
ejpam-3005	138	1	then	then	ADV
ejpam-3005	138	2	m	m	PROPN
ejpam-3005	138	3	(	(	PUNCT
ejpam-3005	138	4	µ(x//	µ(x//	PROPN
ejpam-3005	138	5	−	−	PROPN
ejpam-3005	138	6	y//	y//	PROPN
ejpam-3005	138	7	,	,	PUNCT
ejpam-3005	138	8	t	t	PROPN
ejpam-3005	138	9	)	)	PUNCT
ejpam-3005	138	10	ρ	ρ	PROPN
ejpam-3005	138	11	)	)	PUNCT
ejpam-3005	138	12	>	>	X
ejpam-3005	139	1	1−	1−	NUM
ejpam-3005	139	2	randm	randm	NOUN
ejpam-3005	139	3	(	(	PUNCT
ejpam-3005	139	4	ν(x//	ν(x//	NUM
ejpam-3005	139	5	−	−	PROPN
ejpam-3005	139	6	y//	y//	PROPN
ejpam-3005	139	7	,	,	PUNCT
ejpam-3005	139	8	t	t	PROPN
ejpam-3005	139	9	)	)	PUNCT
ejpam-3005	139	10	ρ	ρ	PROPN
ejpam-3005	139	11	)	)	PUNCT
ejpam-3005	139	12	<	<	X
ejpam-3005	139	13	r	r	X
ejpam-3005	139	14	v.	v.	ADP
ejpam-3005	139	15	a.	a.	PROPN
ejpam-3005	139	16	khan	khan	PROPN
ejpam-3005	139	17	,	,	PUNCT
ejpam-3005	139	18	yasmeen	yasmeen	PROPN
ejpam-3005	139	19	,	,	PUNCT
ejpam-3005	139	20	h.	h.	PROPN
ejpam-3005	139	21	fatima	fatima	PROPN
ejpam-3005	139	22	,	,	PUNCT
ejpam-3005	139	23	a.	a.	PROPN
ejpam-3005	139	24	ahmad	ahmad	PROPN
ejpam-3005	139	25	/	/	SYM
ejpam-3005	139	26	eur	eur	PROPN
ejpam-3005	139	27	.	.	PUNCT
ejpam-3005	140	1	j.	j.	PROPN
ejpam-3005	140	2	pure	pure	PROPN
ejpam-3005	140	3	appl	appl	PROPN
ejpam-3005	140	4	.	.	PROPN
ejpam-3005	140	5	math	math	PROPN
ejpam-3005	140	6	,	,	PUNCT
ejpam-3005	140	7	10	10	NUM
ejpam-3005	140	8	(	(	PUNCT
ejpam-3005	140	9	3	3	NUM
ejpam-3005	140	10	)	)	PUNCT
ejpam-3005	140	11	(	(	PUNCT
ejpam-3005	140	12	2017	2017	NUM
ejpam-3005	140	13	)	)	PUNCT
ejpam-3005	140	14	,	,	PUNCT
ejpam-3005	140	15	574	574	NUM
ejpam-3005	140	16	-	-	SYM
ejpam-3005	140	17	585	585	NUM
ejpam-3005	140	18	580	580	NUM
ejpam-3005	140	19	.	.	PUNCT
ejpam-3005	141	1	since	since	SCONJ
ejpam-3005	141	2	m	m	PROPN
ejpam-3005	141	3	(	(	PUNCT
ejpam-3005	141	4	µ(x//−y//,t	µ(x//−y//,t	NOUN
ejpam-3005	141	5	)	)	PUNCT
ejpam-3005	141	6	ρ	ρ	NOUN
ejpam-3005	141	7	)	)	PUNCT
ejpam-3005	141	8	>	>	X
ejpam-3005	141	9	1−	1−	NUM
ejpam-3005	141	10	r	r	NOUN
ejpam-3005	141	11	,	,	PUNCT
ejpam-3005	141	12	there	there	PRON
ejpam-3005	141	13	exists	exist	VERB
ejpam-3005	141	14	t0	t0	PROPN
ejpam-3005	141	15	∈	∈	PROPN
ejpam-3005	141	16	(	(	PUNCT
ejpam-3005	141	17	0	0	NUM
ejpam-3005	141	18	,	,	PUNCT
ejpam-3005	141	19	1	1	NUM
ejpam-3005	141	20	)	)	PUNCT
ejpam-3005	142	1	such	such	ADJ
ejpam-3005	142	2	that	that	SCONJ
ejpam-3005	142	3	m	m	PROPN
ejpam-3005	142	4	(	(	PUNCT
ejpam-3005	142	5	µ(x//	µ(x//	PROPN
ejpam-3005	142	6	−	−	PROPN
ejpam-3005	142	7	y//	y//	PROPN
ejpam-3005	142	8	,	,	PUNCT
ejpam-3005	142	9	t0	t0	PROPN
ejpam-3005	142	10	)	)	PUNCT
ejpam-3005	142	11	ρ	ρ	PROPN
ejpam-3005	142	12	)	)	PUNCT
ejpam-3005	142	13	>	>	X
ejpam-3005	143	1	1−	1−	NUM
ejpam-3005	143	2	r	r	NOUN
ejpam-3005	143	3	and	and	CCONJ
ejpam-3005	143	4	m	m	PROPN
ejpam-3005	143	5	(	(	PUNCT
ejpam-3005	143	6	ν(x//	ν(x//	NUM
ejpam-3005	143	7	−	−	PROPN
ejpam-3005	143	8	y//	y//	PROPN
ejpam-3005	143	9	,	,	PUNCT
ejpam-3005	143	10	t0	t0	PROPN
ejpam-3005	143	11	)	)	PUNCT
ejpam-3005	143	12	ρ	ρ	PROPN
ejpam-3005	143	13	)	)	PUNCT
ejpam-3005	144	1	<	<	X
ejpam-3005	144	2	r.	r.	PROPN
ejpam-3005	144	3	putting	put	VERB
ejpam-3005	144	4	r0	r0	NOUN
ejpam-3005	144	5	=	=	VERB
ejpam-3005	144	6	m	m	PROPN
ejpam-3005	144	7	(	(	PUNCT
ejpam-3005	144	8	µ(x//−y//,t0	µ(x//−y//,t0	PROPN
ejpam-3005	144	9	)	)	PUNCT
ejpam-3005	144	10	ρ	ρ	PROPN
ejpam-3005	144	11	)	)	PUNCT
ejpam-3005	144	12	.	.	PUNCT
ejpam-3005	145	1	we	we	PRON
ejpam-3005	145	2	have	have	VERB
ejpam-3005	145	3	r0	r0	NOUN
ejpam-3005	145	4	>	>	X
ejpam-3005	145	5	1	1	NUM
ejpam-3005	145	6	−	−	NOUN
ejpam-3005	145	7	r	r	NOUN
ejpam-3005	145	8	,	,	PUNCT
ejpam-3005	145	9	there	there	PRON
ejpam-3005	145	10	exists	exist	VERB
ejpam-3005	145	11	s	s	PROPN
ejpam-3005	145	12	∈	∈	PROPN
ejpam-3005	145	13	(	(	PUNCT
ejpam-3005	145	14	0	0	NUM
ejpam-3005	145	15	,	,	PUNCT
ejpam-3005	145	16	1	1	NUM
ejpam-3005	145	17	)	)	PUNCT
ejpam-3005	145	18	such	such	ADJ
ejpam-3005	145	19	that	that	DET
ejpam-3005	145	20	r0	r0	NOUN
ejpam-3005	145	21	>	>	X
ejpam-3005	145	22	1−	1−	NUM
ejpam-3005	145	23	s	s	X
ejpam-3005	145	24	>	>	X
ejpam-3005	145	25	1−	1−	NUM
ejpam-3005	145	26	r.	r.	PROPN
ejpam-3005	145	27	for	for	ADP
ejpam-3005	145	28	r0	r0	PROPN
ejpam-3005	145	29	>	>	X
ejpam-3005	145	30	1−s	1−s	PROPN
ejpam-3005	145	31	,	,	PUNCT
ejpam-3005	145	32	we	we	PRON
ejpam-3005	145	33	have	have	VERB
ejpam-3005	145	34	r1	r1	NOUN
ejpam-3005	145	35	,	,	PUNCT
ejpam-3005	145	36	r2	r2	PROPN
ejpam-3005	145	37	∈	∈	PROPN
ejpam-3005	145	38	(	(	PUNCT
ejpam-3005	145	39	0	0	NUM
ejpam-3005	145	40	,	,	PUNCT
ejpam-3005	145	41	1	1	NUM
ejpam-3005	145	42	)	)	PUNCT
ejpam-3005	146	1	such	such	ADJ
ejpam-3005	146	2	that	that	DET
ejpam-3005	146	3	r0∗r1	r0∗r1	PROPN
ejpam-3005	146	4	>	>	X
ejpam-3005	146	5	1−s	1−s	PROPN
ejpam-3005	146	6	and	and	CCONJ
ejpam-3005	146	7	(	(	PUNCT
ejpam-3005	146	8	1−r0)	1−r0)	NUM
ejpam-3005	146	9	�	�	NOUN
ejpam-3005	146	10	(1−r2	(1−r2	NOUN
ejpam-3005	146	11	)	)	PUNCT
ejpam-3005	146	12	≤	≤	PART
ejpam-3005	146	13	s.	s.	PROPN
ejpam-3005	146	14	putting	put	VERB
ejpam-3005	146	15	r3	r3	PROPN
ejpam-3005	146	16	=	=	PUNCT
ejpam-3005	146	17	max{r1	max{r1	NOUN
ejpam-3005	146	18	,	,	PUNCT
ejpam-3005	146	19	r2	r2	PROPN
ejpam-3005	146	20	}	}	PUNCT
ejpam-3005	146	21	,	,	PUNCT
ejpam-3005	146	22	consider	consider	VERB
ejpam-3005	146	23	the	the	DET
ejpam-3005	146	24	ball	ball	NOUN
ejpam-3005	146	25	2b	2b	PROPN
ejpam-3005	146	26	c	c	PROPN
ejpam-3005	146	27	y//	y//	PROPN
ejpam-3005	146	28	(	(	PUNCT
ejpam-3005	146	29	1−	1−	NUM
ejpam-3005	146	30	r3	r3	PROPN
ejpam-3005	146	31	,	,	PUNCT
ejpam-3005	146	32	t−	t−	PROPN
ejpam-3005	146	33	t0)(m	t0)(m	PROPN
ejpam-3005	146	34	)	)	PUNCT
ejpam-3005	146	35	.	.	PUNCT
ejpam-3005	147	1	we	we	PRON
ejpam-3005	147	2	prove	prove	VERB
ejpam-3005	147	3	that	that	SCONJ
ejpam-3005	147	4	2b	2b	NUM
ejpam-3005	147	5	c	c	NOUN
ejpam-3005	147	6	y//	y//	PROPN
ejpam-3005	147	7	(	(	PUNCT
ejpam-3005	147	8	1−	1−	NUM
ejpam-3005	147	9	r3	r3	PROPN
ejpam-3005	147	10	,	,	PUNCT
ejpam-3005	147	11	t−	t−	PROPN
ejpam-3005	147	12	t0)(m	t0)(m	PROPN
ejpam-3005	147	13	)	)	PUNCT
ejpam-3005	147	14	⊂	⊂	PROPN
ejpam-3005	147	15	2b	2b	NOUN
ejpam-3005	147	16	c	c	X
ejpam-3005	147	17	x//	x//	PROPN
ejpam-3005	148	1	(	(	PUNCT
ejpam-3005	148	2	r	r	NOUN
ejpam-3005	148	3	,	,	PUNCT
ejpam-3005	148	4	t)(m	t)(m	NUM
ejpam-3005	148	5	)	)	PUNCT
ejpam-3005	148	6	.	.	PUNCT
ejpam-3005	149	1	let	let	VERB
ejpam-3005	149	2	z//	z//	ADV
ejpam-3005	149	3	∈	∈	VERB
ejpam-3005	149	4	2b	2b	NOUN
ejpam-3005	149	5	c	c	NOUN
ejpam-3005	149	6	y//	y//	PROPN
ejpam-3005	149	7	(	(	PUNCT
ejpam-3005	149	8	1−	1−	NUM
ejpam-3005	149	9	r3	r3	PROPN
ejpam-3005	149	10	,	,	PUNCT
ejpam-3005	149	11	t−	t−	PROPN
ejpam-3005	149	12	t0)(m	t0)(m	PROPN
ejpam-3005	149	13	)	)	PUNCT
ejpam-3005	149	14	.	.	PUNCT
ejpam-3005	150	1	m	m	VERB
ejpam-3005	150	2	(	(	PUNCT
ejpam-3005	150	3	µ(y//−z//,t−t0	µ(y//−z//,t−t0	PROPN
ejpam-3005	150	4	)	)	PUNCT
ejpam-3005	150	5	ρ	ρ	PROPN
ejpam-3005	150	6	)	)	PUNCT
ejpam-3005	150	7	>	>	X
ejpam-3005	151	1	r3	r3	PROPN
ejpam-3005	151	2	and	and	CCONJ
ejpam-3005	151	3	m	m	PROPN
ejpam-3005	151	4	(	(	PUNCT
ejpam-3005	151	5	ν(y//−z//,t−t0	ν(y//−z//,t−t0	PROPN
ejpam-3005	151	6	)	)	PUNCT
ejpam-3005	151	7	ρ	ρ	PROPN
ejpam-3005	151	8	)	)	PUNCT
ejpam-3005	151	9	<	<	X
ejpam-3005	151	10	r3	r3	PROPN
ejpam-3005	151	11	.	.	PUNCT
ejpam-3005	152	1	therefore	therefore	ADV
ejpam-3005	152	2	,	,	PUNCT
ejpam-3005	152	3	m	m	VERB
ejpam-3005	152	4	(	(	PUNCT
ejpam-3005	152	5	µ(x//	µ(x//	NUM
ejpam-3005	152	6	−	−	PROPN
ejpam-3005	152	7	z//	z//	PROPN
ejpam-3005	152	8	,	,	PUNCT
ejpam-3005	152	9	t	t	PROPN
ejpam-3005	152	10	)	)	PUNCT
ejpam-3005	152	11	ρ	ρ	PROPN
ejpam-3005	152	12	)	)	PUNCT
ejpam-3005	152	13	≥m	≥m	NOUN
ejpam-3005	152	14	(	(	PUNCT
ejpam-3005	152	15	µ(x//	µ(x//	NUM
ejpam-3005	152	16	−	−	PROPN
ejpam-3005	152	17	y//	y//	PROPN
ejpam-3005	152	18	,	,	PUNCT
ejpam-3005	152	19	t0	t0	PROPN
ejpam-3005	152	20	)	)	PUNCT
ejpam-3005	152	21	ρ	ρ	PROPN
ejpam-3005	152	22	)	)	PUNCT
ejpam-3005	152	23	∗m	∗m	NOUN
ejpam-3005	152	24	(	(	PUNCT
ejpam-3005	152	25	µ(y//	µ(y//	VERB
ejpam-3005	152	26	−	−	PROPN
ejpam-3005	152	27	z//	z//	SYM
ejpam-3005	152	28	,	,	PUNCT
ejpam-3005	152	29	t−	t−	PROPN
ejpam-3005	152	30	t0	t0	PROPN
ejpam-3005	152	31	)	)	PUNCT
ejpam-3005	152	32	ρ	ρ	PROPN
ejpam-3005	152	33	)	)	PUNCT
ejpam-3005	152	34	≥	≥	NOUN
ejpam-3005	152	35	(	(	PUNCT
ejpam-3005	152	36	r0	r0	NOUN
ejpam-3005	152	37	∗	∗	NOUN
ejpam-3005	152	38	r3	r3	PROPN
ejpam-3005	152	39	)	)	PUNCT
ejpam-3005	152	40	≥	≥	PROPN
ejpam-3005	152	41	(	(	PUNCT
ejpam-3005	152	42	r0	r0	NOUN
ejpam-3005	152	43	∗	∗	NOUN
ejpam-3005	152	44	r1	r1	PROPN
ejpam-3005	152	45	)	)	PUNCT
ejpam-3005	152	46	≥	≥	NUM
ejpam-3005	152	47	(	(	PUNCT
ejpam-3005	152	48	1−	1−	NUM
ejpam-3005	152	49	s	s	NOUN
ejpam-3005	152	50	)	)	PUNCT
ejpam-3005	152	51	>	>	X
ejpam-3005	153	1	(	(	PUNCT
ejpam-3005	153	2	1−	1−	NUM
ejpam-3005	153	3	r	r	NOUN
ejpam-3005	153	4	)	)	PUNCT
ejpam-3005	153	5	.	.	PUNCT
ejpam-3005	154	1	and	and	CCONJ
ejpam-3005	154	2	m	m	PROPN
ejpam-3005	154	3	(	(	PUNCT
ejpam-3005	154	4	ν(x//	ν(x//	NUM
ejpam-3005	154	5	−	−	NOUN
ejpam-3005	154	6	z//	z//	PROPN
ejpam-3005	154	7	,	,	PUNCT
ejpam-3005	154	8	t	t	PROPN
ejpam-3005	154	9	)	)	PUNCT
ejpam-3005	154	10	ρ	ρ	PROPN
ejpam-3005	154	11	)	)	PUNCT
ejpam-3005	154	12	≤m	≤m	NOUN
ejpam-3005	154	13	(	(	PUNCT
ejpam-3005	154	14	ν(x//	ν(x//	NUM
ejpam-3005	154	15	−	−	PROPN
ejpam-3005	154	16	y//	y//	PROPN
ejpam-3005	154	17	,	,	PUNCT
ejpam-3005	154	18	t0	t0	PROPN
ejpam-3005	154	19	)	)	PUNCT
ejpam-3005	154	20	ρ	ρ	PROPN
ejpam-3005	154	21	)	)	PUNCT
ejpam-3005	154	22	�	�	PROPN
ejpam-3005	154	23	m	m	PROPN
ejpam-3005	154	24	(	(	PUNCT
ejpam-3005	154	25	ν(y//	ν(y//	NUM
ejpam-3005	154	26	−	−	NOUN
ejpam-3005	154	27	z//	z//	SYM
ejpam-3005	154	28	,	,	PUNCT
ejpam-3005	154	29	t−	t−	PROPN
ejpam-3005	154	30	t0	t0	PROPN
ejpam-3005	154	31	)	)	PUNCT
ejpam-3005	154	32	ρ	ρ	PROPN
ejpam-3005	154	33	)	)	PUNCT
ejpam-3005	154	34	≤	≤	NOUN
ejpam-3005	154	35	(	(	PUNCT
ejpam-3005	154	36	1−	1−	NUM
ejpam-3005	154	37	r0	r0	NOUN
ejpam-3005	154	38	)	)	PUNCT
ejpam-3005	154	39	�	�	PROPN
ejpam-3005	154	40	(	(	PUNCT
ejpam-3005	154	41	1−	1−	NUM
ejpam-3005	154	42	r3	r3	PROPN
ejpam-3005	154	43	)	)	PUNCT
ejpam-3005	154	44	≤	≤	NOUN
ejpam-3005	154	45	(	(	PUNCT
ejpam-3005	154	46	1−	1−	NUM
ejpam-3005	154	47	r0	r0	NOUN
ejpam-3005	154	48	)	)	PUNCT
ejpam-3005	154	49	>	>	X
ejpam-3005	154	50	(	(	PUNCT
ejpam-3005	154	51	1−	1−	NUM
ejpam-3005	154	52	r2	r2	NOUN
ejpam-3005	154	53	)	)	PUNCT
ejpam-3005	155	1	<	<	X
ejpam-3005	155	2	s	s	X
ejpam-3005	155	3	<	<	X
ejpam-3005	155	4	r.	r.	X
ejpam-3005	155	5	thus	thus	ADV
ejpam-3005	155	6	z//	z//	PROPN
ejpam-3005	155	7	∈	∈	ADP
ejpam-3005	155	8	2b	2b	NOUN
ejpam-3005	155	9	c	c	X
ejpam-3005	155	10	x//	x//	PROPN
ejpam-3005	156	1	(	(	PUNCT
ejpam-3005	156	2	r	r	NOUN
ejpam-3005	156	3	,	,	PUNCT
ejpam-3005	156	4	t)(m	t)(m	NUM
ejpam-3005	156	5	)	)	PUNCT
ejpam-3005	156	6	and	and	CCONJ
ejpam-3005	156	7	hence	hence	ADV
ejpam-3005	156	8	2b	2b	NUM
ejpam-3005	156	9	c	c	PROPN
ejpam-3005	156	10	y//	y//	PROPN
ejpam-3005	156	11	(	(	PUNCT
ejpam-3005	156	12	1−	1−	NUM
ejpam-3005	156	13	r3	r3	PROPN
ejpam-3005	156	14	,	,	PUNCT
ejpam-3005	156	15	t−	t−	PROPN
ejpam-3005	156	16	t0)(m	t0)(m	PROPN
ejpam-3005	156	17	)	)	PUNCT
ejpam-3005	156	18	⊂	⊂	PROPN
ejpam-3005	156	19	2b	2b	NOUN
ejpam-3005	156	20	c	c	X
ejpam-3005	156	21	x//	x//	PROPN
ejpam-3005	157	1	(	(	PUNCT
ejpam-3005	157	2	r	r	NOUN
ejpam-3005	157	3	,	,	PUNCT
ejpam-3005	157	4	t)(m	t)(m	NUM
ejpam-3005	157	5	)	)	PUNCT
ejpam-3005	157	6	.	.	PUNCT
ejpam-3005	158	1	remark	remark	PROPN
ejpam-3005	158	2	1	1	NUM
ejpam-3005	158	3	.	.	NUM
ejpam-3005	158	4	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	158	5	)	)	PUNCT
ejpam-3005	158	6	is	be	AUX
ejpam-3005	158	7	ifns	ifns	NOUN
ejpam-3005	158	8	.	.	PUNCT
ejpam-3005	159	1	define	define	VERB
ejpam-3005	159	2	2τ(µ,ν)(m	2τ(µ,ν)(m	NUM
ejpam-3005	159	3	)	)	PUNCT
ejpam-3005	159	4	=	=	PRON
ejpam-3005	159	5	{	{	PUNCT
ejpam-3005	159	6	a	a	DET
ejpam-3005	159	7	⊂	⊂	PROPN
ejpam-3005	159	8	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	159	9	)	)	PUNCT
ejpam-3005	159	10	:	:	PUNCT
ejpam-3005	159	11	for	for	ADP
ejpam-3005	159	12	each	each	DET
ejpam-3005	159	13	x	x	SYM
ejpam-3005	159	14	∈	∈	PROPN
ejpam-3005	159	15	a	a	DET
ejpam-3005	159	16	there	there	PRON
ejpam-3005	159	17	exists	exist	VERB
ejpam-3005	159	18	t	t	PROPN
ejpam-3005	159	19	>	>	X
ejpam-3005	159	20	0	0	PUNCT
ejpam-3005	160	1	and	and	CCONJ
ejpam-3005	160	2	r	r	PROPN
ejpam-3005	160	3	∈	∈	PROPN
ejpam-3005	160	4	(	(	PUNCT
ejpam-3005	160	5	0	0	NUM
ejpam-3005	160	6	,	,	PUNCT
ejpam-3005	160	7	1	1	NUM
ejpam-3005	160	8	)	)	PUNCT
ejpam-3005	160	9	s.	s.	PROPN
ejpam-3005	160	10	t.	t.	PROPN
ejpam-3005	160	11	2b	2b	PROPN
ejpam-3005	161	1	c	c	X
ejpam-3005	161	2	x//	x//	PROPN
ejpam-3005	161	3	(	(	PUNCT
ejpam-3005	161	4	r	r	NOUN
ejpam-3005	161	5	,	,	PUNCT
ejpam-3005	161	6	t)(m	t)(m	NUM
ejpam-3005	161	7	)	)	PUNCT
ejpam-3005	161	8	⊂	⊂	PROPN
ejpam-3005	161	9	a	a	X
ejpam-3005	161	10	}	}	PUNCT
ejpam-3005	161	11	.	.	PUNCT
ejpam-3005	162	1	then	then	ADV
ejpam-3005	162	2	2τ(µ,ν)(m	2τ(µ,ν)(m	NUM
ejpam-3005	162	3	)	)	PUNCT
ejpam-3005	162	4	is	be	AUX
ejpam-3005	162	5	a	a	DET
ejpam-3005	162	6	topology	topology	NOUN
ejpam-3005	162	7	on	on	ADP
ejpam-3005	162	8	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	162	9	)	)	PUNCT
ejpam-3005	162	10	.	.	PUNCT
ejpam-3005	163	1	theorem	theorem	NOUN
ejpam-3005	163	2	3	3	NUM
ejpam-3005	163	3	.	.	PUNCT
ejpam-3005	164	1	the	the	DET
ejpam-3005	164	2	topology	topology	NOUN
ejpam-3005	164	3	2τ(µ,ν)(m	2τ(µ,ν)(m	NUM
ejpam-3005	164	4	)	)	PUNCT
ejpam-3005	164	5	on	on	ADP
ejpam-3005	164	6	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	164	7	)	)	PUNCT
ejpam-3005	164	8	is	be	AUX
ejpam-3005	164	9	first	first	ADV
ejpam-3005	164	10	countable	countable	ADJ
ejpam-3005	164	11	.	.	PUNCT
ejpam-3005	165	1	proof	proof	NOUN
ejpam-3005	165	2	.	.	PUNCT
ejpam-3005	166	1	{	{	PUNCT
ejpam-3005	166	2	2bx//	2bx//	NUM
ejpam-3005	166	3	(	(	PUNCT
ejpam-3005	166	4	1	1	NUM
ejpam-3005	166	5	n	n	CCONJ
ejpam-3005	166	6	,	,	PUNCT
ejpam-3005	166	7	1	1	NUM
ejpam-3005	166	8	n	n	NOUN
ejpam-3005	166	9	)	)	PUNCT
ejpam-3005	166	10	(	(	PUNCT
ejpam-3005	166	11	m	m	NOUN
ejpam-3005	166	12	)	)	PUNCT
ejpam-3005	166	13	:	:	PUNCT
ejpam-3005	167	1	n	n	X
ejpam-3005	167	2	=	=	SYM
ejpam-3005	167	3	1	1	NUM
ejpam-3005	167	4	,	,	PUNCT
ejpam-3005	167	5	2	2	NUM
ejpam-3005	167	6	,	,	PUNCT
ejpam-3005	167	7	3	3	NUM
ejpam-3005	167	8	,	,	PUNCT
ejpam-3005	167	9	......................	......................	PUNCT
ejpam-3005	167	10	}	}	PUNCT
ejpam-3005	167	11	is	be	AUX
ejpam-3005	167	12	a	a	DET
ejpam-3005	167	13	local	local	ADJ
ejpam-3005	167	14	base	base	NOUN
ejpam-3005	167	15	at	at	ADP
ejpam-3005	167	16	x//	x//	PROPN
ejpam-3005	167	17	the	the	DET
ejpam-3005	167	18	topology	topology	NOUN
ejpam-3005	167	19	2τ(µ,ν)(m	2τ(µ,ν)(m	NUM
ejpam-3005	167	20	)	)	PUNCT
ejpam-3005	167	21	on	on	ADP
ejpam-3005	167	22	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	167	23	)	)	PUNCT
ejpam-3005	167	24	is	be	AUX
ejpam-3005	167	25	first	first	ADV
ejpam-3005	167	26	countable	countable	ADJ
ejpam-3005	167	27	.	.	PUNCT
ejpam-3005	168	1	theorem	theorem	ADJ
ejpam-3005	168	2	4	4	NUM
ejpam-3005	168	3	.	.	NUM
ejpam-3005	168	4	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	168	5	)	)	PUNCT
ejpam-3005	168	6	and	and	CCONJ
ejpam-3005	168	7	2zi0(µ,ν)(m	2zi0(µ,ν)(m	NUM
ejpam-3005	168	8	)	)	PUNCT
ejpam-3005	168	9	are	be	AUX
ejpam-3005	168	10	housdorff	housdorff	NOUN
ejpam-3005	168	11	spaces	space	NOUN
ejpam-3005	168	12	.	.	PUNCT
ejpam-3005	169	1	v.	v.	ADP
ejpam-3005	169	2	a.	a.	PROPN
ejpam-3005	169	3	khan	khan	PROPN
ejpam-3005	169	4	,	,	PUNCT
ejpam-3005	169	5	yasmeen	yasmeen	PROPN
ejpam-3005	169	6	,	,	PUNCT
ejpam-3005	169	7	h.	h.	PROPN
ejpam-3005	169	8	fatima	fatima	PROPN
ejpam-3005	169	9	,	,	PUNCT
ejpam-3005	169	10	a.	a.	PROPN
ejpam-3005	169	11	ahmad	ahmad	PROPN
ejpam-3005	169	12	/	/	SYM
ejpam-3005	169	13	eur	eur	PROPN
ejpam-3005	169	14	.	.	PUNCT
ejpam-3005	170	1	j.	j.	PROPN
ejpam-3005	170	2	pure	pure	PROPN
ejpam-3005	170	3	appl	appl	PROPN
ejpam-3005	170	4	.	.	PROPN
ejpam-3005	170	5	math	math	PROPN
ejpam-3005	170	6	,	,	PUNCT
ejpam-3005	170	7	10	10	NUM
ejpam-3005	170	8	(	(	PUNCT
ejpam-3005	170	9	3	3	NUM
ejpam-3005	170	10	)	)	PUNCT
ejpam-3005	170	11	(	(	PUNCT
ejpam-3005	170	12	2017	2017	NUM
ejpam-3005	170	13	)	)	PUNCT
ejpam-3005	170	14	,	,	PUNCT
ejpam-3005	170	15	574	574	NUM
ejpam-3005	170	16	-	-	SYM
ejpam-3005	170	17	585	585	NUM
ejpam-3005	170	18	581	581	NUM
ejpam-3005	170	19	proof	proof	NOUN
ejpam-3005	170	20	.	.	PUNCT
ejpam-3005	171	1	we	we	PRON
ejpam-3005	171	2	prove	prove	VERB
ejpam-3005	171	3	the	the	DET
ejpam-3005	171	4	result	result	NOUN
ejpam-3005	171	5	for	for	ADP
ejpam-3005	171	6	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	171	7	)	)	PUNCT
ejpam-3005	171	8	.	.	PUNCT
ejpam-3005	172	1	similarly	similarly	ADV
ejpam-3005	172	2	the	the	DET
ejpam-3005	172	3	result	result	NOUN
ejpam-3005	172	4	can	can	AUX
ejpam-3005	172	5	be	be	AUX
ejpam-3005	172	6	proved	prove	VERB
ejpam-3005	172	7	for	for	ADP
ejpam-3005	172	8	2zi0(µ,ν)(m	2zi0(µ,ν)(m	NUM
ejpam-3005	172	9	)	)	PUNCT
ejpam-3005	172	10	.	.	PUNCT
ejpam-3005	173	1	let	let	VERB
ejpam-3005	174	1	x//	x//	PROPN
ejpam-3005	174	2	,	,	PUNCT
ejpam-3005	174	3	y//	y//	PROPN
ejpam-3005	174	4	∈	∈	PROPN
ejpam-3005	174	5	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	174	6	)	)	PUNCT
ejpam-3005	174	7	such	such	ADJ
ejpam-3005	174	8	that	that	PRON
ejpam-3005	174	9	x//	x//	PROPN
ejpam-3005	175	1	6=	6=	NUM
ejpam-3005	175	2	y//.	y//.	PRON
ejpam-3005	176	1	then	then	ADV
ejpam-3005	176	2	0	0	NUM
ejpam-3005	176	3	<	<	X
ejpam-3005	176	4	m	m	X
ejpam-3005	176	5	(	(	PUNCT
ejpam-3005	176	6	µ(x//−y//,t	µ(x//−y//,t	NOUN
ejpam-3005	176	7	)	)	PUNCT
ejpam-3005	176	8	ρ	ρ	NOUN
ejpam-3005	176	9	)	)	PUNCT
ejpam-3005	176	10	<	<	X
ejpam-3005	176	11	1	1	NUM
ejpam-3005	176	12	and	and	CCONJ
ejpam-3005	176	13	0	0	NUM
ejpam-3005	176	14	<	<	X
ejpam-3005	176	15	m	m	PROPN
ejpam-3005	176	16	(	(	PUNCT
ejpam-3005	176	17	ν(x//−y//,t	ν(x//−y//,t	NOUN
ejpam-3005	176	18	)	)	PUNCT
ejpam-3005	176	19	ρ	ρ	PROPN
ejpam-3005	176	20	)	)	PUNCT
ejpam-3005	176	21	<	<	X
ejpam-3005	177	1	1	1	X
ejpam-3005	177	2	.	.	PUNCT
ejpam-3005	177	3	putting	put	VERB
ejpam-3005	177	4	r1	r1	NOUN
ejpam-3005	177	5	=	=	PUNCT
ejpam-3005	177	6	m	m	PROPN
ejpam-3005	177	7	(	(	PUNCT
ejpam-3005	177	8	µ(x//−y//,t	µ(x//−y//,t	NOUN
ejpam-3005	177	9	)	)	PUNCT
ejpam-3005	177	10	ρ	ρ	NOUN
ejpam-3005	177	11	)	)	PUNCT
ejpam-3005	177	12	and	and	CCONJ
ejpam-3005	177	13	r2	r2	PROPN
ejpam-3005	177	14	=	=	SYM
ejpam-3005	177	15	m	m	PROPN
ejpam-3005	177	16	(	(	PUNCT
ejpam-3005	177	17	ν(x//−y//,t	ν(x//−y//,t	NOUN
ejpam-3005	177	18	)	)	PUNCT
ejpam-3005	177	19	ρ	ρ	PROPN
ejpam-3005	177	20	)	)	PUNCT
ejpam-3005	177	21	and	and	CCONJ
ejpam-3005	177	22	r	r	NOUN
ejpam-3005	177	23	=	=	SYM
ejpam-3005	177	24	max{r1	max{r1	NOUN
ejpam-3005	177	25	,	,	PUNCT
ejpam-3005	177	26	1−	1−	NUM
ejpam-3005	177	27	r2	r2	NOUN
ejpam-3005	177	28	}	}	PUNCT
ejpam-3005	177	29	.	.	PUNCT
ejpam-3005	178	1	for	for	ADP
ejpam-3005	178	2	each	each	DET
ejpam-3005	178	3	r0	r0	NOUN
ejpam-3005	178	4	∈	∈	PROPN
ejpam-3005	178	5	(	(	PUNCT
ejpam-3005	178	6	r	r	NOUN
ejpam-3005	178	7	,	,	PUNCT
ejpam-3005	178	8	1	1	NUM
ejpam-3005	178	9	)	)	PUNCT
ejpam-3005	178	10	,	,	PUNCT
ejpam-3005	178	11	there	there	PRON
ejpam-3005	178	12	exists	exist	VERB
ejpam-3005	178	13	r3	r3	PROPN
ejpam-3005	178	14	and	and	CCONJ
ejpam-3005	178	15	r4	r4	VERB
ejpam-3005	178	16	such	such	ADJ
ejpam-3005	178	17	that	that	SCONJ
ejpam-3005	178	18	r3	r3	PROPN
ejpam-3005	178	19	∗	∗	NOUN
ejpam-3005	178	20	r4	r4	PROPN
ejpam-3005	178	21	≥	≥	NUM
ejpam-3005	178	22	r0	r0	NOUN
ejpam-3005	178	23	and	and	CCONJ
ejpam-3005	178	24	(	(	PUNCT
ejpam-3005	178	25	1−	1−	NUM
ejpam-3005	178	26	r3	r3	PROPN
ejpam-3005	178	27	)	)	PUNCT
ejpam-3005	178	28	�	�	PROPN
ejpam-3005	178	29	(	(	PUNCT
ejpam-3005	178	30	1−	1−	NUM
ejpam-3005	178	31	r4	r4	NOUN
ejpam-3005	178	32	)	)	PUNCT
ejpam-3005	178	33	≤	≤	NOUN
ejpam-3005	178	34	(	(	PUNCT
ejpam-3005	178	35	1−	1−	NUM
ejpam-3005	178	36	r0	r0	NOUN
ejpam-3005	178	37	)	)	PUNCT
ejpam-3005	178	38	.	.	PUNCT
ejpam-3005	179	1	putting	put	VERB
ejpam-3005	179	2	r5	r5	PROPN
ejpam-3005	179	3	=	=	SYM
ejpam-3005	179	4	max{r3	max{r3	PROPN
ejpam-3005	179	5	,	,	PUNCT
ejpam-3005	179	6	1−	1−	NUM
ejpam-3005	179	7	r4	r4	NOUN
ejpam-3005	179	8	}	}	PUNCT
ejpam-3005	179	9	and	and	CCONJ
ejpam-3005	179	10	consider	consider	VERB
ejpam-3005	179	11	the	the	DET
ejpam-3005	179	12	open	open	ADJ
ejpam-3005	179	13	balls	ball	NOUN
ejpam-3005	179	14	2bx//(1−r5	2bx//(1−r5	NUM
ejpam-3005	179	15	,	,	PUNCT
ejpam-3005	179	16	t2)(m	t2)(m	NOUN
ejpam-3005	179	17	)	)	PUNCT
ejpam-3005	179	18	and	and	CCONJ
ejpam-3005	179	19	2by//(1−	2by//(1−	NUM
ejpam-3005	179	20	r5	r5	PROPN
ejpam-3005	179	21	,	,	PUNCT
ejpam-3005	179	22	t	t	PROPN
ejpam-3005	179	23	2)(m	2)(m	NUM
ejpam-3005	179	24	)	)	PUNCT
ejpam-3005	179	25	.	.	PUNCT
ejpam-3005	180	1	then	then	ADV
ejpam-3005	180	2	clearly	clearly	ADV
ejpam-3005	180	3	2bx//(1−	2bx//(1−	PROPN
ejpam-3005	180	4	r5	r5	PROPN
ejpam-3005	180	5	,	,	PUNCT
ejpam-3005	180	6	t2	t2	NOUN
ejpam-3005	180	7	)	)	PUNCT
ejpam-3005	180	8	∩	∩	NOUN
ejpam-3005	180	9	2by//(1−	2by//(1−	PROPN
ejpam-3005	180	10	r5	r5	PROPN
ejpam-3005	180	11	,	,	PUNCT
ejpam-3005	180	12	t2)(m	t2)(m	PROPN
ejpam-3005	180	13	)	)	PUNCT
ejpam-3005	180	14	=	=	SYM
ejpam-3005	180	15	φ	φ	PROPN
ejpam-3005	180	16	.	.	PUNCT
ejpam-3005	181	1	for	for	ADP
ejpam-3005	181	2	if	if	SCONJ
ejpam-3005	181	3	there	there	PRON
ejpam-3005	181	4	exists	exist	VERB
ejpam-3005	181	5	z//	z//	ADV
ejpam-3005	181	6	∈	∈	VERB
ejpam-3005	181	7	2bx//(1−	2bx//(1−	ADJ
ejpam-3005	181	8	r5	r5	PROPN
ejpam-3005	181	9	,	,	PUNCT
ejpam-3005	181	10	t2	t2	NOUN
ejpam-3005	181	11	)	)	PUNCT
ejpam-3005	181	12	∩	∩	NOUN
ejpam-3005	181	13	2by//(1−	2by//(1−	PROPN
ejpam-3005	181	14	r5	r5	PROPN
ejpam-3005	181	15	,	,	PUNCT
ejpam-3005	181	16	t2)(m	t2)(m	PROPN
ejpam-3005	181	17	)	)	PUNCT
ejpam-3005	181	18	,	,	PUNCT
ejpam-3005	181	19	then	then	ADV
ejpam-3005	181	20	r1	r1	PROPN
ejpam-3005	181	21	=	=	SYM
ejpam-3005	181	22	m	m	PROPN
ejpam-3005	181	23	(	(	PUNCT
ejpam-3005	181	24	µ(x//	µ(x//	PROPN
ejpam-3005	181	25	−	−	PROPN
ejpam-3005	181	26	y//	y//	PROPN
ejpam-3005	181	27	,	,	PUNCT
ejpam-3005	181	28	t	t	PROPN
ejpam-3005	181	29	)	)	PUNCT
ejpam-3005	181	30	ρ	ρ	PROPN
ejpam-3005	181	31	)	)	PUNCT
ejpam-3005	181	32	≥m	≥m	NOUN
ejpam-3005	181	33	(	(	PUNCT
ejpam-3005	181	34	µ(x//	µ(x//	NUM
ejpam-3005	181	35	−	−	PROPN
ejpam-3005	181	36	z//	z//	PROPN
ejpam-3005	181	37	,	,	PUNCT
ejpam-3005	181	38	t2	t2	PROPN
ejpam-3005	181	39	)	)	PUNCT
ejpam-3005	181	40	ρ	ρ	PROPN
ejpam-3005	181	41	)	)	PUNCT
ejpam-3005	181	42	∗m	∗m	NOUN
ejpam-3005	181	43	(	(	PUNCT
ejpam-3005	181	44	µ(z//	µ(z//	ADV
ejpam-3005	181	45	−	−	PRON
ejpam-3005	181	46	y//	y//	PROPN
ejpam-3005	181	47	,	,	PUNCT
ejpam-3005	181	48	t2	t2	NOUN
ejpam-3005	181	49	)	)	PUNCT
ejpam-3005	181	50	ρ	ρ	PROPN
ejpam-3005	181	51	)	)	PUNCT
ejpam-3005	181	52	≥	≥	PROPN
ejpam-3005	181	53	r5	r5	PROPN
ejpam-3005	181	54	∗	∗	PROPN
ejpam-3005	181	55	r5	r5	PROPN
ejpam-3005	181	56	≥	≥	NUM
ejpam-3005	181	57	r3	r3	PROPN
ejpam-3005	181	58	∗	∗	NOUN
ejpam-3005	181	59	r3	r3	PROPN
ejpam-3005	181	60	≥	≥	NOUN
ejpam-3005	181	61	r0	r0	NOUN
ejpam-3005	181	62	>	>	X
ejpam-3005	181	63	r1	r1	PROPN
ejpam-3005	181	64	.	.	PUNCT
ejpam-3005	182	1	and	and	CCONJ
ejpam-3005	182	2	r2	r2	PROPN
ejpam-3005	182	3	=	=	SYM
ejpam-3005	182	4	m	m	PROPN
ejpam-3005	182	5	(	(	PUNCT
ejpam-3005	182	6	ν(x//	ν(x//	NUM
ejpam-3005	182	7	−	−	PROPN
ejpam-3005	182	8	y//	y//	PROPN
ejpam-3005	182	9	,	,	PUNCT
ejpam-3005	182	10	t	t	PROPN
ejpam-3005	182	11	)	)	PUNCT
ejpam-3005	182	12	ρ	ρ	PROPN
ejpam-3005	182	13	)	)	PUNCT
ejpam-3005	182	14	≤m	≤m	NOUN
ejpam-3005	182	15	(	(	PUNCT
ejpam-3005	182	16	µ(x//	µ(x//	NOUN
ejpam-3005	182	17	−	−	PROPN
ejpam-3005	182	18	z//	z//	PROPN
ejpam-3005	182	19	,	,	PUNCT
ejpam-3005	182	20	t2	t2	PROPN
ejpam-3005	182	21	)	)	PUNCT
ejpam-3005	182	22	ρ	ρ	PROPN
ejpam-3005	182	23	)	)	PUNCT
ejpam-3005	182	24	�	�	PROPN
ejpam-3005	182	25	m	m	PROPN
ejpam-3005	182	26	(	(	PUNCT
ejpam-3005	182	27	ν(z//	ν(z//	X
ejpam-3005	182	28	−	−	PRON
ejpam-3005	182	29	y//	y//	PROPN
ejpam-3005	182	30	,	,	PUNCT
ejpam-3005	182	31	t2	t2	NOUN
ejpam-3005	182	32	)	)	PUNCT
ejpam-3005	182	33	ρ	ρ	PROPN
ejpam-3005	182	34	)	)	PUNCT
ejpam-3005	182	35	≤	≤	NOUN
ejpam-3005	182	36	(	(	PUNCT
ejpam-3005	182	37	1−	1−	NUM
ejpam-3005	182	38	r5	r5	PROPN
ejpam-3005	182	39	)	)	PUNCT
ejpam-3005	182	40	�	�	PROPN
ejpam-3005	182	41	(	(	PUNCT
ejpam-3005	182	42	1−	1−	NUM
ejpam-3005	182	43	r5	r5	PROPN
ejpam-3005	182	44	)	)	PUNCT
ejpam-3005	182	45	≤	≤	NOUN
ejpam-3005	182	46	(	(	PUNCT
ejpam-3005	182	47	1−	1−	NUM
ejpam-3005	182	48	r4	r4	NOUN
ejpam-3005	182	49	)	)	PUNCT
ejpam-3005	182	50	�	�	PROPN
ejpam-3005	182	51	(	(	PUNCT
ejpam-3005	182	52	1−	1−	NUM
ejpam-3005	182	53	r4	r4	NOUN
ejpam-3005	182	54	)	)	PUNCT
ejpam-3005	182	55	≤	≤	NOUN
ejpam-3005	182	56	(	(	PUNCT
ejpam-3005	182	57	1−	1−	NUM
ejpam-3005	182	58	r0	r0	NOUN
ejpam-3005	182	59	)	)	PUNCT
ejpam-3005	182	60	<	<	X
ejpam-3005	183	1	r	r	X
ejpam-3005	183	2	,	,	PUNCT
ejpam-3005	183	3	which	which	PRON
ejpam-3005	183	4	is	be	AUX
ejpam-3005	183	5	a	a	DET
ejpam-3005	183	6	contradiction	contradiction	NOUN
ejpam-3005	183	7	.	.	PUNCT
ejpam-3005	184	1	hence	hence	ADV
ejpam-3005	184	2	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	184	3	)	)	PUNCT
ejpam-3005	184	4	is	be	AUX
ejpam-3005	184	5	housdorff	housdorff	NOUN
ejpam-3005	184	6	.	.	PUNCT
ejpam-3005	185	1	theorem	theorem	ADJ
ejpam-3005	185	2	5	5	NUM
ejpam-3005	185	3	.	.	NUM
ejpam-3005	185	4	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	185	5	)	)	PUNCT
ejpam-3005	186	1	is	be	AUX
ejpam-3005	186	2	an	an	DET
ejpam-3005	186	3	ifns	ifns	NOUN
ejpam-3005	186	4	.	.	PUNCT
ejpam-3005	187	1	2τ(µ,ν)(m	2τ(µ,ν)(m	NUM
ejpam-3005	187	2	)	)	PUNCT
ejpam-3005	187	3	is	be	AUX
ejpam-3005	187	4	a	a	DET
ejpam-3005	187	5	topology	topology	NOUN
ejpam-3005	187	6	on	on	ADP
ejpam-3005	187	7	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	187	8	)	)	PUNCT
ejpam-3005	187	9	.	.	PUNCT
ejpam-3005	188	1	then	then	ADV
ejpam-3005	188	2	a	a	DET
ejpam-3005	188	3	sequence	sequence	NOUN
ejpam-3005	188	4	(	(	PUNCT
ejpam-3005	188	5	x	x	SYM
ejpam-3005	188	6	//	//	NUM
ejpam-3005	188	7	ij	ij	INTJ
ejpam-3005	188	8	)	)	PUNCT
ejpam-3005	188	9	∈	∈	PROPN
ejpam-3005	188	10	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	188	11	)	)	PUNCT
ejpam-3005	188	12	,	,	PUNCT
ejpam-3005	188	13	x	x	X
ejpam-3005	188	14	//	//	PUNCT
ejpam-3005	188	15	ij	ij	INTJ
ejpam-3005	188	16	→	→	PUNCT
ejpam-3005	188	17	x//	x//	PROPN
ejpam-3005	188	18	if	if	SCONJ
ejpam-3005	188	19	and	and	CCONJ
ejpam-3005	188	20	if	if	SCONJ
ejpam-3005	188	21	µ(x	µ(x	ADJ
ejpam-3005	188	22	//	//	NOUN
ejpam-3005	188	23	ij	ij	NOUN
ejpam-3005	188	24	−	−	PROPN
ejpam-3005	188	25	x//	x//	PROPN
ejpam-3005	188	26	,	,	PUNCT
ejpam-3005	188	27	t)(m	t)(m	NUM
ejpam-3005	188	28	)	)	PUNCT
ejpam-3005	188	29	and	and	CCONJ
ejpam-3005	188	30	m	m	PROPN
ejpam-3005	188	31	(	(	PUNCT
ejpam-3005	188	32	ν(x	ν(x	PROPN
ejpam-3005	188	33	//	//	PUNCT
ejpam-3005	189	1	ij	ij	INTJ
ejpam-3005	189	2	−	−	PROPN
ejpam-3005	189	3	x//	x//	PROPN
ejpam-3005	189	4	,	,	PUNCT
ejpam-3005	189	5	t	t	PROPN
ejpam-3005	189	6	)	)	PUNCT
ejpam-3005	189	7	ρ	ρ	PROPN
ejpam-3005	189	8	)	)	PUNCT
ejpam-3005	189	9	→	→	SYM
ejpam-3005	189	10	0	0	NUM
ejpam-3005	189	11	as	as	ADP
ejpam-3005	189	12	i→∞	i→∞	NUM
ejpam-3005	189	13	,	,	PUNCT
ejpam-3005	189	14	j	j	PROPN
ejpam-3005	189	15	→∞.	→∞.	PROPN
ejpam-3005	189	16	proof	proof	NOUN
ejpam-3005	189	17	.	.	PUNCT
ejpam-3005	190	1	fix	fix	VERB
ejpam-3005	190	2	t0	t0	PROPN
ejpam-3005	190	3	>	>	X
ejpam-3005	190	4	0	0	X
ejpam-3005	190	5	.	.	PUNCT
ejpam-3005	190	6	suppose	suppose	VERB
ejpam-3005	190	7	x	x	X
ejpam-3005	190	8	//	//	PUNCT
ejpam-3005	190	9	ij	ij	INTJ
ejpam-3005	190	10	→	→	PUNCT
ejpam-3005	190	11	x//.	x//.	PROPN
ejpam-3005	190	12	then	then	ADV
ejpam-3005	190	13	for	for	ADP
ejpam-3005	190	14	r	r	PROPN
ejpam-3005	190	15	∈	∈	PROPN
ejpam-3005	190	16	(	(	PUNCT
ejpam-3005	190	17	0	0	NUM
ejpam-3005	190	18	,	,	PUNCT
ejpam-3005	190	19	1	1	NUM
ejpam-3005	190	20	)	)	PUNCT
ejpam-3005	190	21	,	,	PUNCT
ejpam-3005	190	22	there	there	PRON
ejpam-3005	190	23	exists	exist	VERB
ejpam-3005	190	24	n0	n0	PROPN
ejpam-3005	190	25	∈	∈	PROPN
ejpam-3005	190	26	n	n	PRON
ejpam-3005	190	27	such	such	ADJ
ejpam-3005	190	28	that	that	SCONJ
ejpam-3005	190	29	x	x	SYM
ejpam-3005	190	30	//	//	NUM
ejpam-3005	190	31	ij	ij	X
ejpam-3005	190	32	∈	∈	PROPN
ejpam-3005	190	33	2bx//(r	2bx//(r	NUM
ejpam-3005	190	34	,	,	PUNCT
ejpam-3005	190	35	t)(m	t)(m	NUM
ejpam-3005	190	36	)	)	PUNCT
ejpam-3005	190	37	for	for	ADP
ejpam-3005	190	38	all	all	PRON
ejpam-3005	190	39	i	i	PRON
ejpam-3005	190	40	≥	≥	NUM
ejpam-3005	190	41	n0	n0	PROPN
ejpam-3005	190	42	,	,	PUNCT
ejpam-3005	190	43	j	j	PROPN
ejpam-3005	190	44	≥	≥	PROPN
ejpam-3005	190	45	n0	n0	NUM
ejpam-3005	190	46	.	.	PUNCT
ejpam-3005	191	1	2bx//(r	2bx//(r	NUM
ejpam-3005	191	2	,	,	PUNCT
ejpam-3005	191	3	t)(m	t)(m	NUM
ejpam-3005	191	4	)	)	PUNCT
ejpam-3005	191	5	=	=	PRON
ejpam-3005	191	6	{	{	PUNCT
ejpam-3005	191	7	(	(	PUNCT
ejpam-3005	191	8	i	i	PROPN
ejpam-3005	191	9	,	,	PUNCT
ejpam-3005	191	10	j	j	PROPN
ejpam-3005	191	11	)	)	PUNCT
ejpam-3005	191	12	∈	∈	PROPN
ejpam-3005	191	13	n×	n×	PROPN
ejpam-3005	191	14	n	n	NOUN
ejpam-3005	191	15	:	:	PUNCT
ejpam-3005	192	1	m	m	VERB
ejpam-3005	192	2	(	(	PUNCT
ejpam-3005	192	3	µ(x	µ(x	ADJ
ejpam-3005	192	4	//	//	NOUN
ejpam-3005	192	5	ij	ij	NOUN
ejpam-3005	192	6	−	−	PROPN
ejpam-3005	192	7	x//	x//	PROPN
ejpam-3005	192	8	,	,	PUNCT
ejpam-3005	192	9	t	t	PROPN
ejpam-3005	192	10	)	)	PUNCT
ejpam-3005	192	11	ρ	ρ	PROPN
ejpam-3005	192	12	)	)	PUNCT
ejpam-3005	192	13	≤	≤	NOUN
ejpam-3005	192	14	1−	1−	NUM
ejpam-3005	192	15	r	r	NOUN
ejpam-3005	192	16	or	or	CCONJ
ejpam-3005	192	17	m	m	PROPN
ejpam-3005	192	18	(	(	PUNCT
ejpam-3005	192	19	ν(x	ν(x	PROPN
ejpam-3005	192	20	//	//	PUNCT
ejpam-3005	193	1	ij	ij	INTJ
ejpam-3005	193	2	−	−	PROPN
ejpam-3005	193	3	x//	x//	PROPN
ejpam-3005	193	4	,	,	PUNCT
ejpam-3005	193	5	t	t	PROPN
ejpam-3005	193	6	)	)	PUNCT
ejpam-3005	193	7	ρ	ρ	PROPN
ejpam-3005	193	8	)	)	PUNCT
ejpam-3005	193	9	≥	≥	NOUN
ejpam-3005	193	10	r	r	NOUN
ejpam-3005	193	11	}	}	PUNCT
ejpam-3005	193	12	∈	∈	PROPN
ejpam-3005	193	13	i2	i2	PROPN
ejpam-3005	193	14	v.	v.	PROPN
ejpam-3005	193	15	a.	a.	PROPN
ejpam-3005	193	16	khan	khan	PROPN
ejpam-3005	193	17	,	,	PUNCT
ejpam-3005	193	18	yasmeen	yasmeen	PROPN
ejpam-3005	193	19	,	,	PUNCT
ejpam-3005	193	20	h.	h.	PROPN
ejpam-3005	193	21	fatima	fatima	PROPN
ejpam-3005	193	22	,	,	PUNCT
ejpam-3005	193	23	a.	a.	PROPN
ejpam-3005	193	24	ahmad	ahmad	PROPN
ejpam-3005	193	25	/	/	SYM
ejpam-3005	193	26	eur	eur	PROPN
ejpam-3005	193	27	.	.	PUNCT
ejpam-3005	194	1	j.	j.	PROPN
ejpam-3005	194	2	pure	pure	PROPN
ejpam-3005	194	3	appl	appl	PROPN
ejpam-3005	194	4	.	.	PROPN
ejpam-3005	194	5	math	math	PROPN
ejpam-3005	194	6	,	,	PUNCT
ejpam-3005	194	7	10	10	NUM
ejpam-3005	194	8	(	(	PUNCT
ejpam-3005	194	9	3	3	NUM
ejpam-3005	194	10	)	)	PUNCT
ejpam-3005	194	11	(	(	PUNCT
ejpam-3005	194	12	2017	2017	NUM
ejpam-3005	194	13	)	)	PUNCT
ejpam-3005	194	14	,	,	PUNCT
ejpam-3005	194	15	574	574	NUM
ejpam-3005	194	16	-	-	SYM
ejpam-3005	194	17	585	585	NUM
ejpam-3005	194	18	582	582	NUM
ejpam-3005	194	19	such	such	ADJ
ejpam-3005	194	20	that	that	SCONJ
ejpam-3005	194	21	2b	2b	NUM
ejpam-3005	194	22	c	c	X
ejpam-3005	194	23	x//	x//	PROPN
ejpam-3005	195	1	(	(	PUNCT
ejpam-3005	195	2	r	r	NOUN
ejpam-3005	195	3	,	,	PUNCT
ejpam-3005	195	4	t)(m	t)(m	NUM
ejpam-3005	195	5	)	)	PUNCT
ejpam-3005	195	6	∈	∈	PROPN
ejpam-3005	195	7	f(i2	f(i2	NOUN
ejpam-3005	195	8	)	)	PUNCT
ejpam-3005	195	9	.	.	PUNCT
ejpam-3005	196	1	then	then	ADV
ejpam-3005	196	2	1−m	1−m	NUM
ejpam-3005	196	3	(	(	PUNCT
ejpam-3005	196	4	µ(x	µ(x	X
ejpam-3005	196	5	//	//	NOUN
ejpam-3005	196	6	ij	ij	NOUN
ejpam-3005	196	7	−	−	PROPN
ejpam-3005	196	8	x//	x//	PROPN
ejpam-3005	196	9	,	,	PUNCT
ejpam-3005	196	10	t	t	PROPN
ejpam-3005	196	11	)	)	PUNCT
ejpam-3005	196	12	ρ	ρ	PROPN
ejpam-3005	196	13	)	)	PUNCT
ejpam-3005	196	14	<	<	X
ejpam-3005	196	15	r	r	NOUN
ejpam-3005	196	16	and	and	CCONJ
ejpam-3005	196	17	m	m	PROPN
ejpam-3005	196	18	(	(	PUNCT
ejpam-3005	196	19	ν(x	ν(x	PROPN
ejpam-3005	196	20	//	//	PUNCT
ejpam-3005	196	21	ij	ij	ADP
ejpam-3005	196	22	−x	−x	NUM
ejpam-3005	196	23	//,t	//,t	SYM
ejpam-3005	196	24	)	)	PUNCT
ejpam-3005	196	25	ρ	ρ	PROPN
ejpam-3005	196	26	)	)	PUNCT
ejpam-3005	196	27	→	→	SYM
ejpam-3005	196	28	0	0	NUM
ejpam-3005	196	29	as	as	ADP
ejpam-3005	196	30	i→∞	i→∞	NUM
ejpam-3005	196	31	,	,	PUNCT
ejpam-3005	196	32	j	j	PROPN
ejpam-3005	196	33	→∞	→∞	X
ejpam-3005	196	34	conversely	conversely	ADV
ejpam-3005	196	35	,	,	PUNCT
ejpam-3005	196	36	if	if	SCONJ
ejpam-3005	196	37	for	for	ADP
ejpam-3005	196	38	each	each	DET
ejpam-3005	196	39	t	t	PROPN
ejpam-3005	196	40	>	>	X
ejpam-3005	196	41	0,m	0,m	PROPN
ejpam-3005	196	42	(	(	PUNCT
ejpam-3005	196	43	µ(x	µ(x	VERB
ejpam-3005	196	44	//	//	NOUN
ejpam-3005	196	45	ij	ij	NOUN
ejpam-3005	196	46	−x	−x	NUM
ejpam-3005	196	47	//,t	//,t	SYM
ejpam-3005	196	48	)	)	PUNCT
ejpam-3005	196	49	ρ	ρ	PROPN
ejpam-3005	196	50	)	)	PUNCT
ejpam-3005	196	51	→	→	SYM
ejpam-3005	196	52	1	1	NUM
ejpam-3005	196	53	and	and	CCONJ
ejpam-3005	196	54	m	m	PROPN
ejpam-3005	196	55	(	(	PUNCT
ejpam-3005	196	56	ν(x	ν(x	PROPN
ejpam-3005	196	57	//	//	PUNCT
ejpam-3005	197	1	ij	ij	INTJ
ejpam-3005	197	2	−	−	PROPN
ejpam-3005	197	3	x//	x//	PROPN
ejpam-3005	197	4	,	,	PUNCT
ejpam-3005	197	5	t	t	PROPN
ejpam-3005	197	6	)	)	PUNCT
ejpam-3005	197	7	ρ	ρ	PROPN
ejpam-3005	197	8	)	)	PUNCT
ejpam-3005	197	9	→	→	SYM
ejpam-3005	197	10	0	0	NUM
ejpam-3005	197	11	as	as	ADP
ejpam-3005	197	12	i→∞	i→∞	NUM
ejpam-3005	197	13	,	,	PUNCT
ejpam-3005	197	14	j	j	PROPN
ejpam-3005	197	15	→∞,thenforr	→∞,thenforr	PROPN
ejpam-3005	197	16	∈	∈	PROPN
ejpam-3005	197	17	(	(	PUNCT
ejpam-3005	197	18	0	0	NUM
ejpam-3005	197	19	,	,	PUNCT
ejpam-3005	197	20	1	1	NUM
ejpam-3005	197	21	)	)	PUNCT
ejpam-3005	197	22	,	,	PUNCT
ejpam-3005	197	23	there	there	PRON
ejpam-3005	197	24	exists	exist	VERB
ejpam-3005	197	25	n0	n0	PROPN
ejpam-3005	197	26	∈	∈	PROPN
ejpam-3005	197	27	n	n	PRON
ejpam-3005	197	28	such	such	ADJ
ejpam-3005	197	29	that	that	DET
ejpam-3005	197	30	1−m	1−m	NUM
ejpam-3005	197	31	(	(	PUNCT
ejpam-3005	197	32	µ(x	µ(x	VERB
ejpam-3005	197	33	//	//	NOUN
ejpam-3005	197	34	ij	ij	NOUN
ejpam-3005	197	35	−x	−x	NUM
ejpam-3005	197	36	//,t	//,t	SYM
ejpam-3005	197	37	)	)	PUNCT
ejpam-3005	197	38	ρ	ρ	PROPN
ejpam-3005	197	39	)	)	PUNCT
ejpam-3005	197	40	<	<	X
ejpam-3005	197	41	r	r	NOUN
ejpam-3005	197	42	for	for	ADP
ejpam-3005	197	43	all	all	PRON
ejpam-3005	197	44	i	i	PRON
ejpam-3005	197	45	≥	≥	NUM
ejpam-3005	197	46	n0	n0	PROPN
ejpam-3005	197	47	,	,	PUNCT
ejpam-3005	197	48	j	j	PROPN
ejpam-3005	197	49	≥	≥	PROPN
ejpam-3005	197	50	n0	n0	NUM
ejpam-3005	197	51	.	.	PUNCT
ejpam-3005	198	1	thus	thus	ADV
ejpam-3005	198	2	x	x	SYM
ejpam-3005	198	3	//	//	PUNCT
ejpam-3005	198	4	ij	ij	X
ejpam-3005	198	5	∈	∈	PROPN
ejpam-3005	198	6	2b	2b	NOUN
ejpam-3005	198	7	c	c	X
ejpam-3005	198	8	xij	xij	PROPN
ejpam-3005	198	9	(	(	PUNCT
ejpam-3005	198	10	r	r	NOUN
ejpam-3005	198	11	,	,	PUNCT
ejpam-3005	198	12	t)(m	t)(m	NUM
ejpam-3005	198	13	)	)	PUNCT
ejpam-3005	198	14	for	for	ADP
ejpam-3005	198	15	all	all	PRON
ejpam-3005	198	16	i	i	PRON
ejpam-3005	198	17	≥	≥	NUM
ejpam-3005	198	18	n0	n0	PROPN
ejpam-3005	198	19	,	,	PUNCT
ejpam-3005	198	20	j0	j0	PROPN
ejpam-3005	198	21	≥	≥	PROPN
ejpam-3005	198	22	n0	n0	NOUN
ejpam-3005	198	23	and	and	CCONJ
ejpam-3005	198	24	hence	hence	ADV
ejpam-3005	198	25	x	x	X
ejpam-3005	198	26	//	//	NUM
ejpam-3005	198	27	ij	ij	INTJ
ejpam-3005	198	28	→	→	SYM
ejpam-3005	198	29	x//.	x//.	X
ejpam-3005	198	30	theorem	theorem	VERB
ejpam-3005	198	31	6	6	NUM
ejpam-3005	198	32	.	.	PUNCT
ejpam-3005	198	33	a	a	DET
ejpam-3005	198	34	double	double	ADJ
ejpam-3005	198	35	sequence	sequence	NOUN
ejpam-3005	198	36	x	x	PUNCT
ejpam-3005	198	37	=	=	SYM
ejpam-3005	198	38	(	(	PUNCT
ejpam-3005	198	39	x	x	SYM
ejpam-3005	198	40	//	//	NUM
ejpam-3005	198	41	ij	ij	INTJ
ejpam-3005	198	42	)	)	PUNCT
ejpam-3005	198	43	∈	∈	PROPN
ejpam-3005	198	44	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	198	45	)	)	PUNCT
ejpam-3005	198	46	.	.	PUNCT
ejpam-3005	199	1	i	i	PRON
ejpam-3005	199	2	-	-	PUNCT
ejpam-3005	199	3	converges	converge	VERB
ejpam-3005	199	4	if	if	SCONJ
ejpam-3005	199	5	and	and	CCONJ
ejpam-3005	199	6	only	only	ADV
ejpam-3005	199	7	if	if	SCONJ
ejpam-3005	199	8	for	for	ADP
ejpam-3005	199	9	every	every	DET
ejpam-3005	199	10	ε	ε	PROPN
ejpam-3005	199	11	>	>	X
ejpam-3005	199	12	0	0	PROPN
ejpam-3005	199	13	and	and	CCONJ
ejpam-3005	199	14	t	t	PROPN
ejpam-3005	199	15	>	>	X
ejpam-3005	199	16	0	0	PUNCT
ejpam-3005	200	1	there	there	PRON
ejpam-3005	200	2	exists	exist	VERB
ejpam-3005	200	3	a	a	DET
ejpam-3005	200	4	number	number	NOUN
ejpam-3005	200	5	m	m	NOUN
ejpam-3005	200	6	=	=	SYM
ejpam-3005	200	7	m(x	m(x	PROPN
ejpam-3005	200	8	,	,	PUNCT
ejpam-3005	200	9	ε	ε	PROPN
ejpam-3005	200	10	,	,	PUNCT
ejpam-3005	200	11	t	t	PROPN
ejpam-3005	200	12	)	)	PUNCT
ejpam-3005	200	13	,	,	PUNCT
ejpam-3005	200	14	n	n	NOUN
ejpam-3005	200	15	=	=	SYM
ejpam-3005	200	16	n(x	n(x	PROPN
ejpam-3005	200	17	,	,	PUNCT
ejpam-3005	200	18	ε	ε	PROPN
ejpam-3005	200	19	,	,	PUNCT
ejpam-3005	200	20	t	t	PROPN
ejpam-3005	200	21	)	)	PUNCT
ejpam-3005	200	22	such	such	ADJ
ejpam-3005	200	23	that	that	SCONJ
ejpam-3005	200	24	{	{	PUNCT
ejpam-3005	200	25	(	(	PUNCT
ejpam-3005	200	26	m	m	NOUN
ejpam-3005	200	27	,	,	PUNCT
ejpam-3005	200	28	n	n	CCONJ
ejpam-3005	200	29	)	)	PUNCT
ejpam-3005	200	30	∈	∈	PROPN
ejpam-3005	200	31	n×	n×	PROPN
ejpam-3005	200	32	n	n	NOUN
ejpam-3005	200	33	:	:	PUNCT
ejpam-3005	200	34	m	m	VERB
ejpam-3005	200	35	(	(	PUNCT
ejpam-3005	200	36	µ(x	µ(x	X
ejpam-3005	200	37	//	//	NUM
ejpam-3005	200	38	mn−l	mn−l	NOUN
ejpam-3005	200	39	,	,	PUNCT
ejpam-3005	200	40	t	t	PROPN
ejpam-3005	200	41	2	2	NUM
ejpam-3005	200	42	)	)	PUNCT
ejpam-3005	200	43	ρ	ρ	PROPN
ejpam-3005	200	44	)	)	PUNCT
ejpam-3005	200	45	>	>	X
ejpam-3005	200	46	1−	1−	NUM
ejpam-3005	200	47	ε	ε	PROPN
ejpam-3005	200	48	or	or	CCONJ
ejpam-3005	200	49	m	m	PROPN
ejpam-3005	200	50	(	(	PUNCT
ejpam-3005	200	51	ν(x	ν(x	PROPN
ejpam-3005	200	52	//	//	X
ejpam-3005	200	53	mn−l	mn−l	PROPN
ejpam-3005	200	54	,	,	PUNCT
ejpam-3005	200	55	t	t	PROPN
ejpam-3005	200	56	2	2	NUM
ejpam-3005	200	57	)	)	PUNCT
ejpam-3005	200	58	ρ	ρ	PROPN
ejpam-3005	200	59	)	)	PUNCT
ejpam-3005	200	60	<	<	X
ejpam-3005	200	61	ε	ε	PROPN
ejpam-3005	200	62	}	}	PUNCT
ejpam-3005	200	63	∈	∈	PROPN
ejpam-3005	200	64	f(i2	f(i2	NOUN
ejpam-3005	200	65	)	)	PUNCT
ejpam-3005	200	66	.	.	PUNCT
ejpam-3005	201	1	proof	proof	NOUN
ejpam-3005	201	2	.	.	PUNCT
ejpam-3005	202	1	suppose	suppose	VERB
ejpam-3005	202	2	that	that	SCONJ
ejpam-3005	202	3	2i(µ,ν	2i(µ,ν	NUM
ejpam-3005	202	4	)	)	PUNCT
ejpam-3005	202	5	−	−	PROPN
ejpam-3005	202	6	limx	limx	NOUN
ejpam-3005	202	7	=	=	PUNCT
ejpam-3005	202	8	l	l	NOUN
ejpam-3005	202	9	and	and	CCONJ
ejpam-3005	202	10	let	let	VERB
ejpam-3005	202	11	ε	ε	PROPN
ejpam-3005	202	12	>	>	X
ejpam-3005	202	13	0	0	PROPN
ejpam-3005	202	14	and	and	CCONJ
ejpam-3005	202	15	t	t	X
ejpam-3005	202	16	>	>	X
ejpam-3005	202	17	0	0	X
ejpam-3005	202	18	.	.	PUNCT
ejpam-3005	202	19	for	for	ADP
ejpam-3005	202	20	a	a	DET
ejpam-3005	202	21	given	give	VERB
ejpam-3005	202	22	ε	ε	PROPN
ejpam-3005	202	23	>	>	X
ejpam-3005	202	24	0	0	PUNCT
ejpam-3005	202	25	choose	choose	VERB
ejpam-3005	202	26	,	,	PUNCT
ejpam-3005	202	27	s	s	VERB
ejpam-3005	202	28	>	>	X
ejpam-3005	202	29	0	0	NUM
ejpam-3005	202	30	such	such	ADJ
ejpam-3005	202	31	that	that	SCONJ
ejpam-3005	202	32	(	(	PUNCT
ejpam-3005	202	33	1−ε)∗(1−ε	1−ε)∗(1−ε	NUM
ejpam-3005	202	34	)	)	PUNCT
ejpam-3005	202	35	>	>	X
ejpam-3005	202	36	1−s	1−s	PROPN
ejpam-3005	202	37	and	and	CCONJ
ejpam-3005	202	38	ε	ε	PROPN
ejpam-3005	202	39	�	�	PROPN
ejpam-3005	202	40	ε	ε	PROPN
ejpam-3005	202	41	<	<	X
ejpam-3005	202	42	s.	s.	PROPN
ejpam-3005	202	43	then	then	ADV
ejpam-3005	202	44	for	for	ADP
ejpam-3005	202	45	each	each	DET
ejpam-3005	202	46	x	x	PROPN
ejpam-3005	202	47	∈	∈	PROPN
ejpam-3005	202	48	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	202	49	)	)	PUNCT
ejpam-3005	202	50	,	,	PUNCT
ejpam-3005	202	51	ax(ε	ax(ε	ADV
ejpam-3005	202	52	,	,	PUNCT
ejpam-3005	202	53	t)(m	t)(m	NUM
ejpam-3005	202	54	)	)	PUNCT
ejpam-3005	202	55	=	=	PRON
ejpam-3005	202	56	{	{	PUNCT
ejpam-3005	202	57	(	(	PUNCT
ejpam-3005	202	58	i	i	PROPN
ejpam-3005	202	59	,	,	PUNCT
ejpam-3005	202	60	j	j	PROPN
ejpam-3005	202	61	)	)	PUNCT
ejpam-3005	202	62	∈	∈	PROPN
ejpam-3005	202	63	n×	n×	PROPN
ejpam-3005	202	64	n	n	NOUN
ejpam-3005	202	65	:	:	PUNCT
ejpam-3005	202	66	m	m	VERB
ejpam-3005	202	67	(	(	PUNCT
ejpam-3005	202	68	µ(x	µ(x	ADJ
ejpam-3005	202	69	//	//	NUM
ejpam-3005	202	70	ij	ij	NOUN
ejpam-3005	202	71	−l	−l	NOUN
ejpam-3005	202	72	,	,	PUNCT
ejpam-3005	202	73	t	t	PROPN
ejpam-3005	202	74	2	2	NUM
ejpam-3005	202	75	)	)	PUNCT
ejpam-3005	202	76	ρ	ρ	PROPN
ejpam-3005	202	77	)	)	PUNCT
ejpam-3005	202	78	≤	≤	NOUN
ejpam-3005	202	79	1−	1−	NUM
ejpam-3005	202	80	ε	ε	PROPN
ejpam-3005	202	81	or	or	CCONJ
ejpam-3005	202	82	m	m	PROPN
ejpam-3005	202	83	(	(	PUNCT
ejpam-3005	202	84	ν(x	ν(x	PROPN
ejpam-3005	202	85	//	//	PUNCT
ejpam-3005	202	86	ij	ij	PROPN
ejpam-3005	202	87	−l	−l	PROPN
ejpam-3005	202	88	,	,	PUNCT
ejpam-3005	202	89	t	t	PROPN
ejpam-3005	202	90	2	2	NUM
ejpam-3005	202	91	)	)	PUNCT
ejpam-3005	202	92	ρ	ρ	PROPN
ejpam-3005	202	93	)	)	PUNCT
ejpam-3005	202	94	≥	≥	NOUN
ejpam-3005	202	95	ε	ε	PROPN
ejpam-3005	202	96	}	}	PUNCT
ejpam-3005	202	97	∈	∈	PROPN
ejpam-3005	202	98	i2	i2	NOUN
ejpam-3005	202	99	which	which	PRON
ejpam-3005	202	100	implies	imply	VERB
ejpam-3005	202	101	that	that	SCONJ
ejpam-3005	202	102	acx(ε	acx(ε	NOUN
ejpam-3005	202	103	,	,	PUNCT
ejpam-3005	202	104	t)(m	t)(m	NUM
ejpam-3005	202	105	)	)	PUNCT
ejpam-3005	202	106	=	=	PRON
ejpam-3005	202	107	{	{	PUNCT
ejpam-3005	202	108	(	(	PUNCT
ejpam-3005	202	109	i	i	PROPN
ejpam-3005	202	110	,	,	PUNCT
ejpam-3005	202	111	j	j	PROPN
ejpam-3005	202	112	)	)	PUNCT
ejpam-3005	202	113	∈	∈	PROPN
ejpam-3005	202	114	n×	n×	PROPN
ejpam-3005	202	115	n	n	NOUN
ejpam-3005	202	116	:	:	PUNCT
ejpam-3005	202	117	m	m	VERB
ejpam-3005	202	118	(	(	PUNCT
ejpam-3005	202	119	µ(x	µ(x	ADJ
ejpam-3005	202	120	//	//	NUM
ejpam-3005	202	121	ij	ij	NOUN
ejpam-3005	202	122	−l	−l	NOUN
ejpam-3005	202	123	,	,	PUNCT
ejpam-3005	202	124	t	t	PROPN
ejpam-3005	202	125	2	2	NUM
ejpam-3005	202	126	)	)	PUNCT
ejpam-3005	202	127	ρ	ρ	PROPN
ejpam-3005	202	128	)	)	PUNCT
ejpam-3005	202	129	>	>	X
ejpam-3005	202	130	1−	1−	NUM
ejpam-3005	202	131	ε	ε	PROPN
ejpam-3005	202	132	or	or	CCONJ
ejpam-3005	202	133	m	m	PROPN
ejpam-3005	202	134	(	(	PUNCT
ejpam-3005	202	135	ν(x	ν(x	PROPN
ejpam-3005	202	136	//	//	PUNCT
ejpam-3005	202	137	ij	ij	PROPN
ejpam-3005	202	138	−l	−l	PROPN
ejpam-3005	202	139	,	,	PUNCT
ejpam-3005	202	140	t	t	PROPN
ejpam-3005	202	141	2	2	NUM
ejpam-3005	202	142	)	)	PUNCT
ejpam-3005	202	143	ρ	ρ	PROPN
ejpam-3005	202	144	)	)	PUNCT
ejpam-3005	202	145	<	<	X
ejpam-3005	202	146	ε	ε	PROPN
ejpam-3005	202	147	}	}	PUNCT
ejpam-3005	202	148	∈	∈	PROPN
ejpam-3005	202	149	f(i2	f(i2	NOUN
ejpam-3005	202	150	)	)	PUNCT
ejpam-3005	202	151	.	.	PUNCT
ejpam-3005	203	1	conversely	conversely	ADV
ejpam-3005	203	2	let	let	VERB
ejpam-3005	203	3	us	we	PRON
ejpam-3005	203	4	choose	choose	VERB
ejpam-3005	203	5	n	n	PRON
ejpam-3005	203	6	∈	∈	PROPN
ejpam-3005	203	7	acx(ε	acx(ε	NOUN
ejpam-3005	203	8	,	,	PUNCT
ejpam-3005	203	9	t)(m	t)(m	NUM
ejpam-3005	203	10	)	)	PUNCT
ejpam-3005	203	11	.	.	PUNCT
ejpam-3005	204	1	then	then	ADV
ejpam-3005	204	2	m	m	PROPN
ejpam-3005	204	3	(	(	PUNCT
ejpam-3005	204	4	µ(x	µ(x	ADJ
ejpam-3005	204	5	//	//	NOUN
ejpam-3005	204	6	n	n	CCONJ
ejpam-3005	204	7	−	−	PROPN
ejpam-3005	204	8	l	l	NOUN
ejpam-3005	204	9	,	,	PUNCT
ejpam-3005	204	10	t	t	PROPN
ejpam-3005	204	11	2	2	NUM
ejpam-3005	204	12	)	)	PUNCT
ejpam-3005	204	13	ρ	ρ	PROPN
ejpam-3005	204	14	)	)	PUNCT
ejpam-3005	204	15	>	>	X
ejpam-3005	204	16	1−	1−	NUM
ejpam-3005	204	17	ε	ε	PROPN
ejpam-3005	204	18	or	or	CCONJ
ejpam-3005	204	19	m	m	PROPN
ejpam-3005	204	20	(	(	PUNCT
ejpam-3005	204	21	ν(x	ν(x	PROPN
ejpam-3005	204	22	//	//	NOUN
ejpam-3005	204	23	n	n	CCONJ
ejpam-3005	204	24	−	−	PROPN
ejpam-3005	204	25	l	l	NOUN
ejpam-3005	204	26	,	,	PUNCT
ejpam-3005	204	27	t	t	PROPN
ejpam-3005	204	28	2	2	NUM
ejpam-3005	204	29	)	)	PUNCT
ejpam-3005	204	30	ρ	ρ	PROPN
ejpam-3005	204	31	)	)	PUNCT
ejpam-3005	204	32	<	<	X
ejpam-3005	204	33	ε	ε	PROPN
ejpam-3005	204	34	.	.	PUNCT
ejpam-3005	205	1	now	now	ADV
ejpam-3005	205	2	we	we	PRON
ejpam-3005	205	3	want	want	VERB
ejpam-3005	205	4	to	to	PART
ejpam-3005	205	5	show	show	VERB
ejpam-3005	205	6	that	that	SCONJ
ejpam-3005	205	7	there	there	PRON
ejpam-3005	205	8	exists	exist	VERB
ejpam-3005	205	9	a	a	DET
ejpam-3005	205	10	number	number	NOUN
ejpam-3005	205	11	n	n	NOUN
ejpam-3005	205	12	=	=	SYM
ejpam-3005	205	13	n(x	n(x	PROPN
ejpam-3005	205	14	,	,	PUNCT
ejpam-3005	205	15	ε	ε	PROPN
ejpam-3005	205	16	,	,	PUNCT
ejpam-3005	205	17	t	t	PROPN
ejpam-3005	205	18	)	)	PUNCT
ejpam-3005	205	19	such	such	ADJ
ejpam-3005	205	20	that	that	SCONJ
ejpam-3005	205	21	{	{	PUNCT
ejpam-3005	205	22	(	(	PUNCT
ejpam-3005	205	23	i	i	PROPN
ejpam-3005	205	24	,	,	PUNCT
ejpam-3005	205	25	j	j	PROPN
ejpam-3005	205	26	)	)	PUNCT
ejpam-3005	205	27	∈	∈	PROPN
ejpam-3005	205	28	n×	n×	PROPN
ejpam-3005	205	29	n	n	NOUN
ejpam-3005	205	30	:	:	PUNCT
ejpam-3005	205	31	m	m	VERB
ejpam-3005	205	32	(	(	PUNCT
ejpam-3005	205	33	µ(x	µ(x	ADJ
ejpam-3005	205	34	//	//	NOUN
ejpam-3005	205	35	ij	ij	NOUN
ejpam-3005	205	36	−	−	PROPN
ejpam-3005	205	37	x	x	SYM
ejpam-3005	205	38	//	//	PUNCT
ejpam-3005	205	39	n	n	PROPN
ejpam-3005	205	40	,	,	PUNCT
ejpam-3005	205	41	t	t	PROPN
ejpam-3005	205	42	)	)	PUNCT
ejpam-3005	205	43	ρ	ρ	PROPN
ejpam-3005	205	44	)	)	PUNCT
ejpam-3005	205	45	≤	≤	NUM
ejpam-3005	205	46	1−	1−	NUM
ejpam-3005	205	47	s	s	NOUN
ejpam-3005	205	48	or	or	CCONJ
ejpam-3005	205	49	m	m	PROPN
ejpam-3005	205	50	(	(	PUNCT
ejpam-3005	205	51	ν(x	ν(x	PROPN
ejpam-3005	205	52	//	//	PUNCT
ejpam-3005	206	1	ij	ij	INTJ
ejpam-3005	206	2	−	−	PROPN
ejpam-3005	206	3	x	x	SYM
ejpam-3005	206	4	//	//	PUNCT
ejpam-3005	206	5	n	n	PROPN
ejpam-3005	206	6	,	,	PUNCT
ejpam-3005	206	7	t	t	PROPN
ejpam-3005	206	8	)	)	PUNCT
ejpam-3005	206	9	ρ	ρ	PROPN
ejpam-3005	206	10	)	)	PUNCT
ejpam-3005	206	11	≥	≥	NOUN
ejpam-3005	206	12	s	s	NOUN
ejpam-3005	206	13	}	}	PUNCT
ejpam-3005	206	14	∈	∈	PROPN
ejpam-3005	206	15	i2	i2	NOUN
ejpam-3005	206	16	.	.	PUNCT
ejpam-3005	207	1	for	for	ADP
ejpam-3005	207	2	this	this	PRON
ejpam-3005	207	3	,	,	PUNCT
ejpam-3005	207	4	define	define	VERB
ejpam-3005	207	5	for	for	ADP
ejpam-3005	207	6	each	each	DET
ejpam-3005	207	7	x	x	PROPN
ejpam-3005	207	8	∈	∈	PROPN
ejpam-3005	207	9	2zi(µ,ν)(m	2zi(µ,ν)(m	NUM
ejpam-3005	207	10	)	)	PUNCT
ejpam-3005	207	11	.	.	PUNCT
ejpam-3005	208	1	2bx(ε	2bx(ε	NUM
ejpam-3005	208	2	,	,	PUNCT
ejpam-3005	208	3	t)(m	t)(m	NUM
ejpam-3005	208	4	)	)	PUNCT
ejpam-3005	208	5	=	=	PRON
ejpam-3005	208	6	{	{	PUNCT
ejpam-3005	208	7	(	(	PUNCT
ejpam-3005	208	8	i	i	PROPN
ejpam-3005	208	9	,	,	PUNCT
ejpam-3005	208	10	j	j	PROPN
ejpam-3005	208	11	)	)	PUNCT
ejpam-3005	208	12	∈	∈	PROPN
ejpam-3005	208	13	n×	n×	PROPN
ejpam-3005	208	14	n	n	NOUN
ejpam-3005	208	15	:	:	PUNCT
ejpam-3005	208	16	m	m	VERB
ejpam-3005	208	17	(	(	PUNCT
ejpam-3005	208	18	µ(x	µ(x	ADJ
ejpam-3005	208	19	//	//	NOUN
ejpam-3005	208	20	ij	ij	NOUN
ejpam-3005	208	21	−	−	PROPN
ejpam-3005	208	22	x	x	SYM
ejpam-3005	208	23	//	//	PUNCT
ejpam-3005	208	24	n	n	PROPN
ejpam-3005	208	25	,	,	PUNCT
ejpam-3005	208	26	t	t	PROPN
ejpam-3005	208	27	)	)	PUNCT
ejpam-3005	208	28	ρ	ρ	PROPN
ejpam-3005	208	29	)	)	PUNCT
ejpam-3005	208	30	≤	≤	NUM
ejpam-3005	208	31	1−	1−	NUM
ejpam-3005	208	32	s	s	NOUN
ejpam-3005	208	33	or	or	CCONJ
ejpam-3005	208	34	m	m	PROPN
ejpam-3005	208	35	(	(	PUNCT
ejpam-3005	208	36	ν(x	ν(x	PROPN
ejpam-3005	208	37	//	//	PUNCT
ejpam-3005	209	1	ij	ij	INTJ
ejpam-3005	209	2	−	−	PROPN
ejpam-3005	209	3	x	x	SYM
ejpam-3005	209	4	//	//	PUNCT
ejpam-3005	209	5	n	n	PROPN
ejpam-3005	209	6	,	,	PUNCT
ejpam-3005	209	7	t	t	PROPN
ejpam-3005	209	8	)	)	PUNCT
ejpam-3005	209	9	ρ	ρ	PROPN
ejpam-3005	209	10	)	)	PUNCT
ejpam-3005	209	11	≥	≥	NOUN
ejpam-3005	209	12	s	s	NOUN
ejpam-3005	209	13	}	}	PUNCT
ejpam-3005	209	14	∈	∈	PROPN
ejpam-3005	209	15	i2	i2	NOUN
ejpam-3005	209	16	.	.	PUNCT
ejpam-3005	210	1	now	now	ADV
ejpam-3005	210	2	we	we	PRON
ejpam-3005	210	3	show	show	VERB
ejpam-3005	210	4	that	that	SCONJ
ejpam-3005	210	5	2bx(ε	2bx(ε	NUM
ejpam-3005	210	6	,	,	PUNCT
ejpam-3005	210	7	t)(m	t)(m	NUM
ejpam-3005	210	8	)	)	PUNCT
ejpam-3005	210	9	⊂	⊂	PROPN
ejpam-3005	210	10	2ax(ε	2ax(ε	NOUN
ejpam-3005	210	11	,	,	PUNCT
ejpam-3005	210	12	t)(m	t)(m	NUM
ejpam-3005	210	13	)	)	PUNCT
ejpam-3005	210	14	.	.	PUNCT
ejpam-3005	210	15	suppose	suppose	VERB
ejpam-3005	210	16	that	that	SCONJ
ejpam-3005	210	17	2bx(ε	2bx(ε	NUM
ejpam-3005	210	18	,	,	PUNCT
ejpam-3005	210	19	t)(m	t)(m	NUM
ejpam-3005	210	20	)	)	PUNCT
ejpam-3005	210	21	⊂	⊂	PROPN
ejpam-3005	210	22	2ax(ε	2ax(ε	NOUN
ejpam-3005	210	23	,	,	PUNCT
ejpam-3005	210	24	t)(m	t)(m	NUM
ejpam-3005	210	25	)	)	PUNCT
ejpam-3005	210	26	.	.	PUNCT
ejpam-3005	211	1	then	then	ADV
ejpam-3005	211	2	there	there	PRON
ejpam-3005	211	3	exists	exist	VERB
ejpam-3005	211	4	(	(	PUNCT
ejpam-3005	211	5	m	m	NOUN
ejpam-3005	211	6	,	,	PUNCT
ejpam-3005	211	7	n	n	CCONJ
ejpam-3005	211	8	)	)	PUNCT
ejpam-3005	211	9	∈	∈	PROPN
ejpam-3005	211	10	2bx(ε	2bx(ε	NUM
ejpam-3005	211	11	,	,	PUNCT
ejpam-3005	211	12	t)(m	t)(m	VERB
ejpam-3005	211	13	)	)	PUNCT
ejpam-3005	211	14	and	and	CCONJ
ejpam-3005	211	15	(	(	PUNCT
ejpam-3005	211	16	m	m	PROPN
ejpam-3005	211	17	,	,	PUNCT
ejpam-3005	211	18	n	n	CCONJ
ejpam-3005	211	19	)	)	PUNCT
ejpam-3005	211	20	/∈	/∈	PUNCT
ejpam-3005	212	1	2ax(ε	2ax(ε	NUM
ejpam-3005	212	2	,	,	PUNCT
ejpam-3005	212	3	t)(m	t)(m	NUM
ejpam-3005	212	4	)	)	PUNCT
ejpam-3005	212	5	.	.	PUNCT
ejpam-3005	213	1	therefore	therefore	ADV
ejpam-3005	213	2	we	we	PRON
ejpam-3005	213	3	have	have	VERB
ejpam-3005	213	4	m	m	PROPN
ejpam-3005	213	5	(	(	PUNCT
ejpam-3005	213	6	µ(x	µ(x	ADJ
ejpam-3005	213	7	//	//	NOUN
ejpam-3005	213	8	ij	ij	NOUN
ejpam-3005	213	9	−	−	PROPN
ejpam-3005	213	10	x	x	SYM
ejpam-3005	213	11	//	//	PUNCT
ejpam-3005	213	12	n	n	PROPN
ejpam-3005	213	13	,	,	PUNCT
ejpam-3005	213	14	t	t	PROPN
ejpam-3005	213	15	)	)	PUNCT
ejpam-3005	213	16	ρ	ρ	PROPN
ejpam-3005	213	17	)	)	PUNCT
ejpam-3005	213	18	<	<	X
ejpam-3005	213	19	1−	1−	NUM
ejpam-3005	213	20	s	s	X
ejpam-3005	213	21	and	and	CCONJ
ejpam-3005	213	22	m	m	PROPN
ejpam-3005	213	23	(	(	PUNCT
ejpam-3005	213	24	µ(x	µ(x	ADJ
ejpam-3005	213	25	//	//	NUM
ejpam-3005	213	26	ij	ij	NOUN
ejpam-3005	213	27	−l	−l	NOUN
ejpam-3005	213	28	,	,	PUNCT
ejpam-3005	213	29	t	t	PROPN
ejpam-3005	213	30	2	2	NUM
ejpam-3005	213	31	)	)	PUNCT
ejpam-3005	213	32	ρ	ρ	PROPN
ejpam-3005	213	33	)	)	PUNCT
ejpam-3005	213	34	>	>	X
ejpam-3005	214	1	1−	1−	NUM
ejpam-3005	214	2	ε	ε	PROPN
ejpam-3005	214	3	.	.	PROPN
ejpam-3005	215	1	in	in	ADP
ejpam-3005	215	2	particular	particular	ADJ
ejpam-3005	215	3	m	m	PROPN
ejpam-3005	215	4	(	(	PUNCT
ejpam-3005	215	5	µ(x	µ(x	ADJ
ejpam-3005	215	6	//	//	NOUN
ejpam-3005	215	7	n	n	DET
ejpam-3005	215	8	−l	−l	NOUN
ejpam-3005	215	9	,	,	PUNCT
ejpam-3005	215	10	t	t	PROPN
ejpam-3005	215	11	2	2	NUM
ejpam-3005	215	12	)	)	PUNCT
ejpam-3005	215	13	ρ	ρ	PROPN
ejpam-3005	215	14	)	)	PUNCT
ejpam-3005	215	15	>	>	X
ejpam-3005	216	1	1−	1−	NUM
ejpam-3005	216	2	ε	ε	PROPN
ejpam-3005	216	3	.	.	PUNCT
ejpam-3005	217	1	therefore	therefore	ADV
ejpam-3005	217	2	we	we	PRON
ejpam-3005	217	3	have	have	VERB
ejpam-3005	217	4	1−	1−	NUM
ejpam-3005	217	5	s	s	NOUN
ejpam-3005	217	6	≥m	≥m	NOUN
ejpam-3005	217	7	(	(	PUNCT
ejpam-3005	217	8	µ(x	µ(x	PROPN
ejpam-3005	217	9	//	//	NOUN
ejpam-3005	217	10	mn	mn	PROPN
ejpam-3005	217	11	−	−	PROPN
ejpam-3005	217	12	x//n	x//n	PROPN
ejpam-3005	217	13	,	,	PUNCT
ejpam-3005	217	14	t	t	PROPN
ejpam-3005	217	15	)	)	PUNCT
ejpam-3005	217	16	ρ	ρ	PROPN
ejpam-3005	217	17	)	)	PUNCT
ejpam-3005	217	18	≥m	≥m	NOUN
ejpam-3005	217	19	(	(	PUNCT
ejpam-3005	217	20	µ(x	µ(x	PROPN
ejpam-3005	217	21	//	//	NOUN
ejpam-3005	217	22	mn	mn	PROPN
ejpam-3005	217	23	−	−	PROPN
ejpam-3005	217	24	l	l	PROPN
ejpam-3005	217	25	,	,	PUNCT
ejpam-3005	217	26	t2	t2	NOUN
ejpam-3005	217	27	)	)	PUNCT
ejpam-3005	217	28	ρ	ρ	PROPN
ejpam-3005	217	29	)	)	PUNCT
ejpam-3005	217	30	∗m	∗m	NOUN
ejpam-3005	217	31	(	(	PUNCT
ejpam-3005	217	32	µ(x	µ(x	X
ejpam-3005	217	33	//	//	NOUN
ejpam-3005	217	34	n	n	CCONJ
ejpam-3005	217	35	−	−	PROPN
ejpam-3005	217	36	l	l	NOUN
ejpam-3005	217	37	,	,	PUNCT
ejpam-3005	217	38	t	t	PROPN
ejpam-3005	217	39	2	2	NUM
ejpam-3005	217	40	)	)	PUNCT
ejpam-3005	217	41	ρ	ρ	PROPN
ejpam-3005	217	42	)	)	PUNCT
ejpam-3005	217	43	≥	≥	NOUN
ejpam-3005	217	44	(	(	PUNCT
ejpam-3005	217	45	1−	1−	NUM
ejpam-3005	217	46	ε	ε	PROPN
ejpam-3005	217	47	)	)	PUNCT
ejpam-3005	217	48	∗	∗	NOUN
ejpam-3005	217	49	(	(	PUNCT
ejpam-3005	217	50	1−	1−	NUM
ejpam-3005	217	51	ε	ε	PROPN
ejpam-3005	217	52	)	)	PUNCT
ejpam-3005	217	53	>	>	X
ejpam-3005	218	1	1−	1−	NUM
ejpam-3005	218	2	s	s	NOUN
ejpam-3005	218	3	,	,	PUNCT
ejpam-3005	218	4	which	which	PRON
ejpam-3005	218	5	is	be	AUX
ejpam-3005	218	6	not	not	PART
ejpam-3005	218	7	possible	possible	ADJ
ejpam-3005	218	8	.	.	PUNCT
ejpam-3005	219	1	on	on	ADP
ejpam-3005	219	2	the	the	DET
ejpam-3005	219	3	other	other	ADJ
ejpam-3005	219	4	hand	hand	NOUN
ejpam-3005	219	5	m	m	VERB
ejpam-3005	219	6	(	(	PUNCT
ejpam-3005	219	7	ν(x	ν(x	PROPN
ejpam-3005	219	8	//	//	PUNCT
ejpam-3005	219	9	ij	ij	NOUN
ejpam-3005	219	10	−x	−x	PROPN
ejpam-3005	219	11	//	//	NOUN
ejpam-3005	219	12	n	n	PROPN
ejpam-3005	219	13	,	,	PUNCT
ejpam-3005	219	14	t	t	PROPN
ejpam-3005	219	15	)	)	PUNCT
ejpam-3005	219	16	ρ	ρ	PROPN
ejpam-3005	219	17	)	)	PUNCT
ejpam-3005	219	18	≥	≥	NOUN
ejpam-3005	219	19	s	s	NOUN
ejpam-3005	219	20	and	and	CCONJ
ejpam-3005	219	21	m	m	PROPN
ejpam-3005	219	22	(	(	PUNCT
ejpam-3005	219	23	ν(x	ν(x	PROPN
ejpam-3005	219	24	//	//	PUNCT
ejpam-3005	219	25	ij	ij	PROPN
ejpam-3005	219	26	−l	−l	PROPN
ejpam-3005	219	27	,	,	PUNCT
ejpam-3005	219	28	t	t	PROPN
ejpam-3005	219	29	2	2	NUM
ejpam-3005	219	30	)	)	PUNCT
ejpam-3005	219	31	ρ	ρ	PROPN
ejpam-3005	219	32	)	)	PUNCT
ejpam-3005	219	33	<	<	X
ejpam-3005	219	34	ε	ε	PROPN
ejpam-3005	219	35	.	.	PROPN
ejpam-3005	219	36	in	in	ADP
ejpam-3005	219	37	particular	particular	ADJ
ejpam-3005	219	38	m	m	PROPN
ejpam-3005	219	39	(	(	PUNCT
ejpam-3005	219	40	ν(x	ν(x	PROPN
ejpam-3005	219	41	//	//	PUNCT
ejpam-3005	219	42	n	n	DET
ejpam-3005	219	43	−l	−l	NOUN
ejpam-3005	219	44	,	,	PUNCT
ejpam-3005	219	45	t	t	PROPN
ejpam-3005	219	46	2	2	NUM
ejpam-3005	219	47	)	)	PUNCT
ejpam-3005	219	48	ρ	ρ	PROPN
ejpam-3005	219	49	)	)	PUNCT
ejpam-3005	219	50	<	<	X
ejpam-3005	219	51	ε	ε	PROPN
ejpam-3005	219	52	.	.	PUNCT
ejpam-3005	220	1	therefore	therefore	ADV
ejpam-3005	220	2	we	we	PRON
ejpam-3005	220	3	have	have	VERB
ejpam-3005	220	4	s	s	PROPN
ejpam-3005	220	5	≤m	≤m	NOUN
ejpam-3005	220	6	(	(	PUNCT
ejpam-3005	220	7	ν(x	ν(x	PROPN
ejpam-3005	220	8	//	//	PROPN
ejpam-3005	220	9	mn	mn	PROPN
ejpam-3005	220	10	−	−	PROPN
ejpam-3005	220	11	x//n	x//n	PROPN
ejpam-3005	220	12	,	,	PUNCT
ejpam-3005	220	13	t	t	PROPN
ejpam-3005	220	14	)	)	PUNCT
ejpam-3005	220	15	ρ	ρ	PROPN
ejpam-3005	220	16	)	)	PUNCT
ejpam-3005	220	17	≤m	≤m	NOUN
ejpam-3005	220	18	(	(	PUNCT
ejpam-3005	220	19	ν(x	ν(x	PROPN
ejpam-3005	220	20	//	//	PROPN
ejpam-3005	220	21	mn	mn	PROPN
ejpam-3005	221	1	−	−	PROPN
ejpam-3005	222	1	l	l	PROPN
ejpam-3005	222	2	,	,	PUNCT
ejpam-3005	222	3	t2	t2	NOUN
ejpam-3005	222	4	)	)	PUNCT
ejpam-3005	222	5	ρ	ρ	PROPN
ejpam-3005	222	6	)	)	PUNCT
ejpam-3005	222	7	�	�	PROPN
ejpam-3005	222	8	m	m	PROPN
ejpam-3005	222	9	(	(	PUNCT
ejpam-3005	222	10	ν(x	ν(x	PROPN
ejpam-3005	222	11	//	//	NOUN
ejpam-3005	222	12	n	n	CCONJ
ejpam-3005	222	13	−	−	PROPN
ejpam-3005	222	14	l	l	NOUN
ejpam-3005	222	15	,	,	PUNCT
ejpam-3005	222	16	t	t	PROPN
ejpam-3005	222	17	2	2	NUM
ejpam-3005	222	18	)	)	PUNCT
ejpam-3005	222	19	ρ	ρ	PROPN
ejpam-3005	222	20	)	)	PUNCT
ejpam-3005	222	21	≤	≤	PUNCT
ejpam-3005	222	22	ε	ε	PROPN
ejpam-3005	222	23	�	�	PROPN
ejpam-3005	222	24	ε	ε	PROPN
ejpam-3005	222	25	<	<	X
ejpam-3005	222	26	s	s	PROPN
ejpam-3005	222	27	,	,	PUNCT
ejpam-3005	222	28	which	which	PRON
ejpam-3005	222	29	is	be	AUX
ejpam-3005	222	30	not	not	PART
ejpam-3005	222	31	possible	possible	ADJ
ejpam-3005	222	32	.	.	PUNCT
ejpam-3005	223	1	hence	hence	ADV
ejpam-3005	223	2	2bx(ε	2bx(ε	NUM
ejpam-3005	223	3	,	,	PUNCT
ejpam-3005	223	4	t)(m	t)(m	NUM
ejpam-3005	223	5	)	)	PUNCT
ejpam-3005	223	6	⊂	⊂	PROPN
ejpam-3005	223	7	2ax(ε	2ax(ε	NOUN
ejpam-3005	223	8	,	,	PUNCT
ejpam-3005	223	9	t)(m	t)(m	NUM
ejpam-3005	223	10	)	)	PUNCT
ejpam-3005	223	11	,	,	PUNCT
ejpam-3005	223	12	2ax(ε	2ax(ε	NUM
ejpam-3005	223	13	,	,	PUNCT
ejpam-3005	223	14	t)(m	t)(m	NUM
ejpam-3005	223	15	)	)	PUNCT
ejpam-3005	223	16	∈	∈	PROPN
ejpam-3005	223	17	i2	i2	NOUN
ejpam-3005	223	18	.	.	PUNCT
ejpam-3005	224	1	this	this	PRON
ejpam-3005	224	2	implies	imply	VERB
ejpam-3005	224	3	that	that	SCONJ
ejpam-3005	224	4	2bx(ε	2bx(ε	NUM
ejpam-3005	224	5	,	,	PUNCT
ejpam-3005	224	6	t)(m	t)(m	NUM
ejpam-3005	224	7	)	)	PUNCT
ejpam-3005	224	8	∈	∈	PROPN
ejpam-3005	224	9	i2	i2	NOUN
ejpam-3005	224	10	.	.	PUNCT
ejpam-3005	225	1	hence	hence	ADV
ejpam-3005	225	2	proved	prove	VERB
ejpam-3005	225	3	.	.	PUNCT
ejpam-3005	226	1	acknowledgements	acknowledgement	NOUN
ejpam-3005	226	2	the	the	DET
ejpam-3005	226	3	authors	author	NOUN
ejpam-3005	226	4	would	would	AUX
ejpam-3005	226	5	like	like	VERB
ejpam-3005	226	6	to	to	PART
ejpam-3005	226	7	record	record	VERB
ejpam-3005	226	8	their	their	PRON
ejpam-3005	226	9	gratitude	gratitude	NOUN
ejpam-3005	226	10	to	to	ADP
ejpam-3005	226	11	the	the	DET
ejpam-3005	226	12	reviewer	reviewer	NOUN
ejpam-3005	226	13	for	for	ADP
ejpam-3005	226	14	his	his	PRON
ejpam-3005	226	15	careful	careful	ADJ
ejpam-3005	226	16	reading	reading	NOUN
ejpam-3005	226	17	and	and	CCONJ
ejpam-3005	226	18	making	make	VERB
ejpam-3005	226	19	some	some	DET
ejpam-3005	226	20	useful	useful	ADJ
ejpam-3005	226	21	corrections	correction	NOUN
ejpam-3005	226	22	which	which	PRON
ejpam-3005	226	23	improved	improve	VERB
ejpam-3005	226	24	the	the	DET
ejpam-3005	226	25	presentation	presentation	NOUN
ejpam-3005	226	26	of	of	ADP
ejpam-3005	226	27	the	the	DET
ejpam-3005	226	28	paper	paper	NOUN
ejpam-3005	226	29	.	.	PUNCT
ejpam-3005	227	1	references	reference	NOUN
ejpam-3005	227	2	[	[	X
ejpam-3005	227	3	1	1	NUM
ejpam-3005	227	4	]	]	PUNCT
ejpam-3005	227	5	b.	b.	PROPN
ejpam-3005	227	6	altay	altay	PROPN
ejpam-3005	227	7	,	,	PUNCT
ejpam-3005	227	8	f.	f.	PROPN
ejpam-3005	227	9	başar	başar	PROPN
ejpam-3005	227	10	,	,	PUNCT
ejpam-3005	227	11	and	and	CCONJ
ejpam-3005	227	12	mursaleen	mursaleen	PROPN
ejpam-3005	227	13	,	,	PUNCT
ejpam-3005	227	14	on	on	ADP
ejpam-3005	227	15	the	the	DET
ejpam-3005	227	16	euler	euler	NOUN
ejpam-3005	227	17	sequence	sequence	NOUN
ejpam-3005	227	18	space	space	NOUN
ejpam-3005	227	19	which	which	PRON
ejpam-3005	227	20	include	include	VERB
ejpam-3005	227	21	the	the	DET
ejpam-3005	227	22	spaces	space	NOUN
ejpam-3005	227	23	`	`	PUNCT
ejpam-3005	227	24	p	p	PROPN
ejpam-3005	227	25	and	and	CCONJ
ejpam-3005	227	26	`	`	PUNCT
ejpam-3005	227	27	∞	∞	PROPN
ejpam-3005	227	28	,	,	PUNCT
ejpam-3005	227	29	inform	inform	NOUN
ejpam-3005	227	30	.	.	PUNCT
ejpam-3005	228	1	sci	sci	PROPN
ejpam-3005	228	2	.	.	PROPN
ejpam-3005	228	3	,	,	PUNCT
ejpam-3005	228	4	76(10	76(10	NUM
ejpam-3005	228	5	)	)	PUNCT
ejpam-3005	228	6	,	,	PUNCT
ejpam-3005	228	7	(	(	PUNCT
ejpam-3005	228	8	2006	2006	NUM
ejpam-3005	228	9	)	)	PUNCT
ejpam-3005	228	10	pp	pp	ADP
ejpam-3005	228	11	.	.	PUNCT
ejpam-3005	229	1	1450	1450	NUM
ejpam-3005	229	2	-	-	SYM
ejpam-3005	229	3	1462	1462	NUM
ejpam-3005	229	4	.	.	PUNCT
ejpam-3005	230	1	[	[	X
ejpam-3005	230	2	2	2	NUM
ejpam-3005	230	3	]	]	PUNCT
ejpam-3005	230	4	f.	f.	PROPN
ejpam-3005	230	5	başar	başar	PROPN
ejpam-3005	230	6	,	,	PUNCT
ejpam-3005	230	7	and	and	CCONJ
ejpam-3005	230	8	b.	b.	PROPN
ejpam-3005	230	9	altay	altay	NOUN
ejpam-3005	230	10	,	,	PUNCT
ejpam-3005	230	11	on	on	ADP
ejpam-3005	230	12	the	the	DET
ejpam-3005	230	13	spaces	space	NOUN
ejpam-3005	230	14	of	of	ADP
ejpam-3005	230	15	sequences	sequence	NOUN
ejpam-3005	230	16	of	of	ADP
ejpam-3005	230	17	p	p	NOUN
ejpam-3005	230	18	-	-	PUNCT
ejpam-3005	230	19	bounded	bound	VERB
ejpam-3005	230	20	variation	variation	NOUN
ejpam-3005	230	21	and	and	CCONJ
ejpam-3005	230	22	related	relate	VERB
ejpam-3005	230	23	matrix	matrix	NOUN
ejpam-3005	230	24	mappings	mapping	NOUN
ejpam-3005	230	25	,	,	PUNCT
ejpam-3005	230	26	ukrainion	ukrainion	NOUN
ejpam-3005	230	27	math	math	NOUN
ejpam-3005	230	28	.	.	PUNCT
ejpam-3005	231	1	j.	j.	PROPN
ejpam-3005	231	2	55(2003	55(2003	PROPN
ejpam-3005	231	3	)	)	PUNCT
ejpam-3005	231	4	.	.	PUNCT
ejpam-3005	232	1	[	[	X
ejpam-3005	232	2	3	3	X
ejpam-3005	232	3	]	]	X
ejpam-3005	232	4	l.	l.	PROPN
ejpam-3005	232	5	c.	c.	PROPN
ejpam-3005	232	6	barros	barros	PROPN
ejpam-3005	232	7	,	,	PUNCT
ejpam-3005	232	8	r.	r.	PROPN
ejpam-3005	232	9	c.	c.	PROPN
ejpam-3005	232	10	bassanezi	bassanezi	PROPN
ejpam-3005	232	11	,	,	PUNCT
ejpam-3005	232	12	p.	p.	NOUN
ejpam-3005	232	13	a.	a.	NOUN
ejpam-3005	232	14	tonelli	tonelli	PROPN
ejpam-3005	232	15	,	,	PUNCT
ejpam-3005	232	16	fuzzy	fuzzy	ADJ
ejpam-3005	232	17	modelling	modelling	NOUN
ejpam-3005	232	18	in	in	ADP
ejpam-3005	232	19	population	population	NOUN
ejpam-3005	232	20	dynamics	dynamic	NOUN
ejpam-3005	232	21	,	,	PUNCT
ejpam-3005	232	22	ecol	ecol	PROPN
ejpam-3005	232	23	.	.	PUNCT
ejpam-3005	233	1	model	model	NOUN
ejpam-3005	233	2	,	,	PUNCT
ejpam-3005	233	3	128(2000)27	128(2000)27	NUM
ejpam-3005	233	4	-	-	SYM
ejpam-3005	233	5	33	33	NUM
ejpam-3005	233	6	.	.	PUNCT
ejpam-3005	234	1	references	reference	NOUN
ejpam-3005	234	2	584	584	NUM
ejpam-3005	234	3	[	[	X
ejpam-3005	234	4	4	4	NUM
ejpam-3005	234	5	]	]	X
ejpam-3005	234	6	h.	h.	PROPN
ejpam-3005	234	7	fast	fast	PROPN
ejpam-3005	234	8	,	,	PUNCT
ejpam-3005	234	9	sur	sur	PROPN
ejpam-3005	234	10	la	la	PRON
ejpam-3005	234	11	convergence	convergence	NOUN
ejpam-3005	234	12	statistique	statistique	NOUN
ejpam-3005	234	13	,	,	PUNCT
ejpam-3005	234	14	colloq	colloq	PROPN
ejpam-3005	234	15	.	.	PUNCT
ejpam-3005	234	16	math	math	PROPN
ejpam-3005	234	17	.	.	PUNCT
ejpam-3005	234	18	,2(1951	,2(1951	PUNCT
ejpam-3005	234	19	)	)	PUNCT
ejpam-3005	234	20	,	,	PUNCT
ejpam-3005	234	21	241	241	X
ejpam-3005	234	22	-	-	SYM
ejpam-3005	234	23	244	244	NUM
ejpam-3005	234	24	.	.	PUNCT
ejpam-3005	235	1	[	[	X
ejpam-3005	235	2	5	5	NUM
ejpam-3005	235	3	]	]	PUNCT
ejpam-3005	235	4	a.	a.	PROPN
ejpam-3005	235	5	l.	l.	PROPN
ejpam-3005	235	6	fradkov	fradkov	PROPN
ejpam-3005	235	7	,	,	PUNCT
ejpam-3005	235	8	r.	r.	PROPN
ejpam-3005	235	9	j.	j.	PROPN
ejpam-3005	235	10	evans	evans	PROPN
ejpam-3005	235	11	,	,	PUNCT
ejpam-3005	235	12	control	control	NOUN
ejpam-3005	235	13	of	of	ADP
ejpam-3005	235	14	chaos	chaos	NOUN
ejpam-3005	235	15	:	:	PUNCT
ejpam-3005	235	16	methods	method	NOUN
ejpam-3005	235	17	of	of	ADP
ejpam-3005	235	18	applications	application	NOUN
ejpam-3005	235	19	in	in	ADP
ejpam-3005	235	20	engineering	engineering	NOUN
ejpam-3005	235	21	,	,	PUNCT
ejpam-3005	235	22	chaos	chaos	NOUN
ejpam-3005	235	23	,	,	PUNCT
ejpam-3005	235	24	solution	solution	NOUN
ejpam-3005	235	25	and	and	CCONJ
ejpam-3005	235	26	fractals	fractal	NOUN
ejpam-3005	235	27	(	(	PUNCT
ejpam-3005	235	28	29)(2005),33	29)(2005),33	NUM
ejpam-3005	235	29	-	-	SYM
ejpam-3005	235	30	56	56	NUM
ejpam-3005	235	31	.	.	PUNCT
ejpam-3005	236	1	[	[	X
ejpam-3005	236	2	6	6	NUM
ejpam-3005	236	3	]	]	X
ejpam-3005	236	4	r.	r.	PROPN
ejpam-3005	236	5	giles	giles	PROPN
ejpam-3005	236	6	,	,	PUNCT
ejpam-3005	236	7	a	a	DET
ejpam-3005	236	8	computer	computer	NOUN
ejpam-3005	236	9	program	program	NOUN
ejpam-3005	236	10	for	for	ADP
ejpam-3005	236	11	fuzzy	fuzzy	ADJ
ejpam-3005	236	12	reasoning	reasoning	NOUN
ejpam-3005	236	13	,	,	PUNCT
ejpam-3005	236	14	fuzzy	fuzzy	ADJ
ejpam-3005	236	15	sets	set	NOUN
ejpam-3005	236	16	and	and	CCONJ
ejpam-3005	236	17	systems	system	NOUN
ejpam-3005	236	18	(	(	PUNCT
ejpam-3005	236	19	4)(1980),221	4)(1980),221	NUM
ejpam-3005	236	20	-	-	SYM
ejpam-3005	236	21	234	234	NUM
ejpam-3005	236	22	.	.	PUNCT
ejpam-3005	237	1	[	[	X
ejpam-3005	237	2	7	7	X
ejpam-3005	237	3	]	]	X
ejpam-3005	237	4	l.	l.	PROPN
ejpam-3005	237	5	hong	hong	PROPN
ejpam-3005	237	6	,	,	PUNCT
ejpam-3005	237	7	j.	j.	PROPN
ejpam-3005	237	8	q.	q.	PROPN
ejpam-3005	237	9	sun	sun	PROPN
ejpam-3005	237	10	,	,	PUNCT
ejpam-3005	237	11	bifurcations	bifurcation	NOUN
ejpam-3005	237	12	of	of	ADP
ejpam-3005	237	13	fuzzy	fuzzy	ADJ
ejpam-3005	237	14	non	non	ADJ
ejpam-3005	237	15	-	-	ADJ
ejpam-3005	237	16	linear	linear	ADJ
ejpam-3005	237	17	dynamical	dynamical	ADJ
ejpam-3005	237	18	systems	system	NOUN
ejpam-3005	237	19	,	,	PUNCT
ejpam-3005	237	20	commun	commun	PROPN
ejpam-3005	237	21	.	.	PUNCT
ejpam-3005	238	1	nonlinear	nonlinear	PROPN
ejpam-3005	238	2	sci.numer	sci.numer	PROPN
ejpam-3005	238	3	.	.	PUNCT
ejpam-3005	239	1	simul	simul	PROPN
ejpam-3005	239	2	,	,	PUNCT
ejpam-3005	239	3	(	(	PUNCT
ejpam-3005	239	4	1)(2006	1)(2006	NUM
ejpam-3005	239	5	)	)	PUNCT
ejpam-3005	239	6	,	,	PUNCT
ejpam-3005	239	7	1	1	NUM
ejpam-3005	239	8	-	-	SYM
ejpam-3005	239	9	12	12	NUM
ejpam-3005	239	10	.	.	PUNCT
ejpam-3005	240	1	[	[	X
ejpam-3005	240	2	8	8	X
ejpam-3005	240	3	]	]	X
ejpam-3005	240	4	v.	v.	ADP
ejpam-3005	240	5	a.	a.	PROPN
ejpam-3005	240	6	khan	khan	PROPN
ejpam-3005	240	7	,	,	PUNCT
ejpam-3005	240	8	k.	k.	PROPN
ejpam-3005	240	9	ebadullah	ebadullah	PROPN
ejpam-3005	240	10	and	and	CCONJ
ejpam-3005	240	11	yasmeen	yasmeen	PROPN
ejpam-3005	240	12	,	,	PUNCT
ejpam-3005	240	13	on	on	ADP
ejpam-3005	240	14	zweier	zweier	NOUN
ejpam-3005	240	15	i	i	NOUN
ejpam-3005	240	16	-	-	PUNCT
ejpam-3005	240	17	convergent	convergent	NOUN
ejpam-3005	240	18	sequence	sequence	NOUN
ejpam-3005	240	19	spaces	space	NOUN
ejpam-3005	240	20	,	,	PUNCT
ejpam-3005	240	21	proyecciones	proyecciones	PROPN
ejpam-3005	240	22	journal	journal	NOUN
ejpam-3005	240	23	of	of	ADP
ejpam-3005	240	24	mathematics	mathematics	PROPN
ejpam-3005	240	25	vol.(3)(33)(2014),259	vol.(3)(33)(2014),259	NOUN
ejpam-3005	240	26	-	-	PUNCT
ejpam-3005	240	27	276	276	NUM
ejpam-3005	240	28	.	.	PUNCT
ejpam-3005	241	1	[	[	X
ejpam-3005	241	2	9	9	X
ejpam-3005	241	3	]	]	PUNCT
ejpam-3005	241	4	v.	v.	ADP
ejpam-3005	241	5	a.	a.	PROPN
ejpam-3005	241	6	khan	khan	PROPN
ejpam-3005	241	7	,	,	PUNCT
ejpam-3005	241	8	k.	k.	PROPN
ejpam-3005	241	9	ebadullah	ebadullah	PROPN
ejpam-3005	241	10	and	and	CCONJ
ejpam-3005	241	11	r.k.a	r.k.a	PROPN
ejpam-3005	241	12	.	.	PROPN
ejpam-3005	241	13	rababah	rababah	PROPN
ejpam-3005	241	14	,	,	PUNCT
ejpam-3005	241	15	intuitionistic	intuitionistic	ADJ
ejpam-3005	241	16	fuzzy	fuzzy	ADJ
ejpam-3005	241	17	zweier	zwei	ADJ
ejpam-3005	241	18	iconvergent	iconvergent	NOUN
ejpam-3005	241	19	sequence	sequence	NOUN
ejpam-3005	241	20	spaces	space	NOUN
ejpam-3005	241	21	,	,	PUNCT
ejpam-3005	241	22	functinal	functinal	ADJ
ejpam-3005	241	23	analysis	analysis	NOUN
ejpam-3005	241	24	:	:	PUNCT
ejpam-3005	241	25	theory	theory	NOUN
ejpam-3005	241	26	,	,	PUNCT
ejpam-3005	241	27	methods	method	NOUN
ejpam-3005	241	28	and	and	CCONJ
ejpam-3005	241	29	applications	application	NOUN
ejpam-3005	241	30	,	,	PUNCT
ejpam-3005	241	31	vol	vol	NOUN
ejpam-3005	241	32	.	.	PUNCT
ejpam-3005	241	33	(	(	PUNCT
ejpam-3005	241	34	1)(2015	1)(2015	NUM
ejpam-3005	241	35	)	)	PUNCT
ejpam-3005	241	36	,	,	PUNCT
ejpam-3005	241	37	1	1	NUM
ejpam-3005	241	38	-	-	SYM
ejpam-3005	241	39	7	7	NUM
ejpam-3005	241	40	.	.	PUNCT
ejpam-3005	242	1	[	[	X
ejpam-3005	242	2	10	10	NUM
ejpam-3005	242	3	]	]	X
ejpam-3005	242	4	v.	v.	PROPN
ejpam-3005	242	5	a.	a.	PROPN
ejpam-3005	242	6	khan	khan	PROPN
ejpam-3005	242	7	,	,	PUNCT
ejpam-3005	242	8	yasmeen	yasmeen	PROPN
ejpam-3005	242	9	,	,	PUNCT
ejpam-3005	242	10	on	on	ADP
ejpam-3005	242	11	paranorm	paranorm	NOUN
ejpam-3005	242	12	type	type	NOUN
ejpam-3005	242	13	intuitionistic	intuitionistic	ADJ
ejpam-3005	242	14	fuzzy	fuzzy	ADJ
ejpam-3005	242	15	zweier	zweier	NOUN
ejpam-3005	242	16	i	i	NOUN
ejpam-3005	242	17	-	-	PUNCT
ejpam-3005	242	18	convergent	convergent	NOUN
ejpam-3005	242	19	sequence	sequence	NOUN
ejpam-3005	242	20	spaces	space	NOUN
ejpam-3005	242	21	,	,	PUNCT
ejpam-3005	242	22	new	new	ADJ
ejpam-3005	242	23	trends	trend	NOUN
ejpam-3005	242	24	in	in	ADP
ejpam-3005	242	25	mathematical	mathematical	ADJ
ejpam-3005	242	26	sciences(submitted	sciences(submitte	VERB
ejpam-3005	242	27	)	)	PUNCT
ejpam-3005	242	28	.	.	PUNCT
ejpam-3005	243	1	[	[	X
ejpam-3005	243	2	11	11	NUM
ejpam-3005	243	3	]	]	X
ejpam-3005	243	4	v.	v.	ADP
ejpam-3005	243	5	a.	a.	PROPN
ejpam-3005	243	6	khan	khan	PROPN
ejpam-3005	243	7	,	,	PUNCT
ejpam-3005	243	8	yasmeen	yasmeen	PROPN
ejpam-3005	243	9	,	,	PUNCT
ejpam-3005	243	10	intuitionistic	intuitionistic	ADJ
ejpam-3005	243	11	fuzzy	fuzzy	ADJ
ejpam-3005	243	12	zweier	zweier	NOUN
ejpam-3005	243	13	i	i	NOUN
ejpam-3005	243	14	-	-	PUNCT
ejpam-3005	243	15	convergent	convergent	ADJ
ejpam-3005	243	16	double	double	ADJ
ejpam-3005	243	17	sequence	sequence	NOUN
ejpam-3005	243	18	spaces	space	NOUN
ejpam-3005	243	19	,	,	PUNCT
ejpam-3005	243	20	new	new	ADJ
ejpam-3005	243	21	trends	trend	NOUN
ejpam-3005	243	22	in	in	ADP
ejpam-3005	243	23	mathematical	mathematical	ADJ
ejpam-3005	243	24	sciences(in	sciences(in	NOUN
ejpam-3005	243	25	press	press	NOUN
ejpam-3005	243	26	)	)	PUNCT
ejpam-3005	243	27	.	.	PUNCT
ejpam-3005	244	1	[	[	X
ejpam-3005	244	2	12	12	NUM
ejpam-3005	244	3	]	]	X
ejpam-3005	244	4	v.	v.	PROPN
ejpam-3005	244	5	a.	a.	PROPN
ejpam-3005	244	6	khan	khan	PROPN
ejpam-3005	244	7	,	,	PUNCT
ejpam-3005	244	8	yasmeen	yasmeen	PROPN
ejpam-3005	244	9	,	,	PUNCT
ejpam-3005	244	10	intuitionistic	intuitionistic	ADJ
ejpam-3005	244	11	fuzzy	fuzzy	ADJ
ejpam-3005	244	12	zweier	zweier	NOUN
ejpam-3005	244	13	i	i	NOUN
ejpam-3005	244	14	-	-	PUNCT
ejpam-3005	244	15	convergent	convergent	NOUN
ejpam-3005	244	16	sequence	sequence	NOUN
ejpam-3005	244	17	spaces	space	NOUN
ejpam-3005	244	18	defined	define	VERB
ejpam-3005	244	19	by	by	ADP
ejpam-3005	244	20	modulus	modulus	ADJ
ejpam-3005	244	21	function	function	NOUN
ejpam-3005	244	22	,	,	PUNCT
ejpam-3005	244	23	(	(	PUNCT
ejpam-3005	244	24	submitted	submit	VERB
ejpam-3005	244	25	)	)	PUNCT
ejpam-3005	244	26	.	.	PUNCT
ejpam-3005	245	1	[	[	X
ejpam-3005	245	2	13	13	NUM
ejpam-3005	245	3	]	]	X
ejpam-3005	245	4	v.	v.	ADP
ejpam-3005	245	5	a.	a.	PROPN
ejpam-3005	245	6	khan	khan	PROPN
ejpam-3005	245	7	,	,	PUNCT
ejpam-3005	245	8	yasmeen	yasmeen	PROPN
ejpam-3005	245	9	,	,	PUNCT
ejpam-3005	245	10	intuitionistic	intuitionistic	ADJ
ejpam-3005	245	11	fuzzy	fuzzy	ADJ
ejpam-3005	245	12	zweier	zweier	NOUN
ejpam-3005	245	13	i	i	NOUN
ejpam-3005	245	14	-	-	PUNCT
ejpam-3005	245	15	convergent	convergent	NOUN
ejpam-3005	245	16	sequence	sequence	NOUN
ejpam-3005	245	17	spaces	space	NOUN
ejpam-3005	245	18	defined	define	VERB
ejpam-3005	245	19	by	by	ADP
ejpam-3005	245	20	orlicz	orlicz	ADJ
ejpam-3005	245	21	function	function	NOUN
ejpam-3005	245	22	,	,	PUNCT
ejpam-3005	245	23	(	(	PUNCT
ejpam-3005	245	24	submitted	submit	VERB
ejpam-3005	245	25	)	)	PUNCT
ejpam-3005	245	26	.	.	PUNCT
ejpam-3005	246	1	[	[	X
ejpam-3005	246	2	14	14	NUM
ejpam-3005	246	3	]	]	PUNCT
ejpam-3005	246	4	p.	p.	PROPN
ejpam-3005	246	5	kostyrko	kostyrko	PROPN
ejpam-3005	246	6	,	,	PUNCT
ejpam-3005	246	7	t.	t.	NOUN
ejpam-3005	246	8	salat	salat	NOUN
ejpam-3005	246	9	and	and	CCONJ
ejpam-3005	246	10	w.	w.	PROPN
ejpam-3005	246	11	wilczynski	wilczynski	PROPN
ejpam-3005	246	12	,	,	PUNCT
ejpam-3005	246	13	i	i	NOUN
ejpam-3005	246	14	-	-	PUNCT
ejpam-3005	246	15	convergence	convergence	NOUN
ejpam-3005	246	16	,	,	PUNCT
ejpam-3005	246	17	real	real	ADJ
ejpam-3005	246	18	analysis	analysis	NOUN
ejpam-3005	246	19	exchange	exchange	NOUN
ejpam-3005	246	20	(	(	PUNCT
ejpam-3005	246	21	26)(2000	26)(2000	NUM
ejpam-3005	246	22	)	)	PUNCT
ejpam-3005	246	23	,	,	PUNCT
ejpam-3005	246	24	no	no	INTJ
ejpam-3005	246	25	.	.	NOUN
ejpam-3005	246	26	2	2	NUM
ejpam-3005	246	27	,	,	PUNCT
ejpam-3005	246	28	669	669	NUM
ejpam-3005	246	29	-	-	SYM
ejpam-3005	246	30	686	686	NUM
ejpam-3005	246	31	.	.	PUNCT
ejpam-3005	247	1	[	[	X
ejpam-3005	247	2	15	15	NUM
ejpam-3005	247	3	]	]	PUNCT
ejpam-3005	247	4	p.	p.	PROPN
ejpam-3005	247	5	das	das	PROPN
ejpam-3005	247	6	,	,	PUNCT
ejpam-3005	247	7	p.	p.	PROPN
ejpam-3005	247	8	kostyrko	kostyrko	PROPN
ejpam-3005	247	9	,	,	PUNCT
ejpam-3005	247	10	w.	w.	PROPN
ejpam-3005	247	11	wilczynski	wilczynski	PROPN
ejpam-3005	247	12	,	,	PUNCT
ejpam-3005	247	13	p.	p.	PROPN
ejpam-3005	247	14	malik	malik	PROPN
ejpam-3005	247	15	,	,	PUNCT
ejpam-3005	247	16	i	i	PRON
ejpam-3005	247	17	and	and	CCONJ
ejpam-3005	247	18	i∗convergence	i∗convergence	NOUN
ejpam-3005	247	19	of	of	ADP
ejpam-3005	247	20	double	double	ADJ
ejpam-3005	247	21	sequences	sequence	NOUN
ejpam-3005	247	22	,	,	PUNCT
ejpam-3005	247	23	math	math	NOUN
ejpam-3005	247	24	.	.	PUNCT
ejpam-3005	248	1	slovaca	slovaca	PROPN
ejpam-3005	248	2	(	(	PUNCT
ejpam-3005	248	3	58)(2008	58)(2008	NOUN
ejpam-3005	248	4	)	)	PUNCT
ejpam-3005	248	5	,	,	PUNCT
ejpam-3005	248	6	605	605	NUM
ejpam-3005	248	7	-	-	SYM
ejpam-3005	248	8	620	620	NUM
ejpam-3005	248	9	.	.	PUNCT
ejpam-3005	249	1	[	[	X
ejpam-3005	249	2	16	16	NUM
ejpam-3005	249	3	]	]	X
ejpam-3005	249	4	i.j	i.j	PROPN
ejpam-3005	249	5	.	.	PROPN
ejpam-3005	249	6	maddox	maddox	PROPN
ejpam-3005	249	7	,	,	PUNCT
ejpam-3005	249	8	spaces	space	NOUN
ejpam-3005	249	9	of	of	ADP
ejpam-3005	249	10	strongly	strongly	ADV
ejpam-3005	249	11	summable	summable	ADJ
ejpam-3005	249	12	sequences	sequence	NOUN
ejpam-3005	249	13	,	,	PUNCT
ejpam-3005	249	14	qurt	qurt	NOUN
ejpam-3005	249	15	.	.	PUNCT
ejpam-3005	250	1	math	math	PROPN
ejpam-3005	250	2	,	,	PUNCT
ejpam-3005	250	3	vol	vol	NOUN
ejpam-3005	250	4	.	.	PUNCT
ejpam-3005	250	5	(	(	PUNCT
ejpam-3005	250	6	18)(1967	18)(1967	NUM
ejpam-3005	250	7	)	)	PUNCT
ejpam-3005	250	8	,	,	PUNCT
ejpam-3005	250	9	345	345	NUM
ejpam-3005	250	10	-	-	SYM
ejpam-3005	250	11	355	355	NUM
ejpam-3005	250	12	.	.	PUNCT
ejpam-3005	251	1	[	[	X
ejpam-3005	251	2	17	17	NUM
ejpam-3005	251	3	]	]	X
ejpam-3005	251	4	i.j	i.j	PROPN
ejpam-3005	251	5	.	.	PROPN
ejpam-3005	251	6	maddox	maddox	PROPN
ejpam-3005	251	7	,	,	PUNCT
ejpam-3005	251	8	elements	element	NOUN
ejpam-3005	251	9	of	of	ADP
ejpam-3005	251	10	functional	functional	ADJ
ejpam-3005	251	11	analysis	analysis	NOUN
ejpam-3005	251	12	,	,	PUNCT
ejpam-3005	251	13	cambridge	cambridge	PROPN
ejpam-3005	251	14	univ	univ	PROPN
ejpam-3005	251	15	.	.	PUNCT
ejpam-3005	252	1	press	press	PROPN
ejpam-3005	252	2	(	(	PUNCT
ejpam-3005	252	3	1970	1970	NUM
ejpam-3005	252	4	)	)	PUNCT
ejpam-3005	252	5	.	.	PUNCT
ejpam-3005	253	1	[	[	X
ejpam-3005	253	2	18	18	NUM
ejpam-3005	253	3	]	]	PUNCT
ejpam-3005	253	4	a.	a.	NOUN
ejpam-3005	253	5	wilansky	wilansky	PROPN
ejpam-3005	253	6	,	,	PUNCT
ejpam-3005	253	7	summability	summability	NOUN
ejpam-3005	253	8	through	through	ADP
ejpam-3005	253	9	functional	functional	ADJ
ejpam-3005	253	10	analysis	analysis	NOUN
ejpam-3005	253	11	,	,	PUNCT
ejpam-3005	253	12	north	north	NOUN
ejpam-3005	253	13	holland	holland	PROPN
ejpam-3005	253	14	mathematics	mathematic	NOUN
ejpam-3005	253	15	studies	study	NOUN
ejpam-3005	253	16	,	,	PUNCT
ejpam-3005	253	17	oxford	oxford	PROPN
ejpam-3005	253	18	(	(	PUNCT
ejpam-3005	253	19	1984	1984	NUM
ejpam-3005	253	20	)	)	PUNCT
ejpam-3005	253	21	.	.	PUNCT
ejpam-3005	254	1	[	[	X
ejpam-3005	254	2	19	19	NUM
ejpam-3005	254	3	]	]	PUNCT
ejpam-3005	254	4	e.	e.	PROPN
ejpam-3005	254	5	malkowsky	malkowsky	PROPN
ejpam-3005	254	6	,	,	PUNCT
ejpam-3005	254	7	recent	recent	ADJ
ejpam-3005	254	8	results	result	NOUN
ejpam-3005	254	9	in	in	ADP
ejpam-3005	254	10	the	the	DET
ejpam-3005	254	11	theory	theory	NOUN
ejpam-3005	254	12	of	of	ADP
ejpam-3005	254	13	matrix	matrix	NOUN
ejpam-3005	254	14	transformation	transformation	NOUN
ejpam-3005	254	15	in	in	ADP
ejpam-3005	254	16	sequence	sequence	NOUN
ejpam-3005	254	17	spaces	space	NOUN
ejpam-3005	254	18	,	,	PUNCT
ejpam-3005	254	19	math	math	NOUN
ejpam-3005	254	20	.	.	PUNCT
ejpam-3005	255	1	vesnik,(49)(1997),187	vesnik,(49)(1997),187	NOUN
ejpam-3005	255	2	-	-	PUNCT
ejpam-3005	255	3	196	196	NUM
ejpam-3005	255	4	.	.	PUNCT
ejpam-3005	256	1	[	[	X
ejpam-3005	256	2	20	20	NUM
ejpam-3005	256	3	]	]	PUNCT
ejpam-3005	256	4	m.	m.	NOUN
ejpam-3005	256	5	mursaleen	mursaleen	PROPN
ejpam-3005	256	6	,	,	PUNCT
ejpam-3005	256	7	osama	osama	PROPN
ejpam-3005	256	8	h.	h.	PROPN
ejpam-3005	256	9	h.	h.	PROPN
ejpam-3005	256	10	edely	edely	ADV
ejpam-3005	256	11	,	,	PUNCT
ejpam-3005	256	12	statistical	statistical	ADJ
ejpam-3005	256	13	convergence	convergence	NOUN
ejpam-3005	256	14	of	of	ADP
ejpam-3005	256	15	double	double	ADJ
ejpam-3005	256	16	sequences	sequence	NOUN
ejpam-3005	256	17	,	,	PUNCT
ejpam-3005	256	18	j.	j.	PROPN
ejpam-3005	256	19	math	math	PROPN
ejpam-3005	256	20	.	.	PUNCT
ejpam-3005	257	1	anal	anal	PROPN
ejpam-3005	257	2	.	.	PUNCT
ejpam-3005	257	3	appl	appl	PROPN
ejpam-3005	257	4	.	.	PUNCT
ejpam-3005	258	1	(	(	PUNCT
ejpam-3005	258	2	288)(2003	288)(2003	NUM
ejpam-3005	258	3	)	)	PUNCT
ejpam-3005	258	4	,	,	PUNCT
ejpam-3005	258	5	223	223	NUM
ejpam-3005	258	6	-	-	SYM
ejpam-3005	258	7	231	231	NUM
ejpam-3005	258	8	.	.	PUNCT
ejpam-3005	259	1	references	reference	NOUN
ejpam-3005	259	2	585	585	NUM
ejpam-3005	259	3	[	[	SYM
ejpam-3005	259	4	21	21	NUM
ejpam-3005	259	5	]	]	PUNCT
ejpam-3005	259	6	m.	m.	NOUN
ejpam-3005	259	7	mursaleen	mursaleen	PROPN
ejpam-3005	259	8	,	,	PUNCT
ejpam-3005	259	9	q.m.d	q.m.d	PROPN
ejpam-3005	259	10	.	.	PROPN
ejpam-3005	259	11	lohni	lohni	PROPN
ejpam-3005	259	12	,	,	PUNCT
ejpam-3005	259	13	intuitionistic	intuitionistic	ADJ
ejpam-3005	259	14	fuzzy	fuzzy	ADJ
ejpam-3005	259	15	2	2	NUM
ejpam-3005	259	16	-	-	PUNCT
ejpam-3005	259	17	normed	norme	VERB
ejpam-3005	259	18	space	space	NOUN
ejpam-3005	259	19	and	and	CCONJ
ejpam-3005	259	20	some	some	DET
ejpam-3005	259	21	related	related	ADJ
ejpam-3005	259	22	concepts	concept	NOUN
ejpam-3005	259	23	,	,	PUNCT
ejpam-3005	259	24	chaos	chaos	NOUN
ejpam-3005	259	25	,	,	PUNCT
ejpam-3005	259	26	solution	solution	NOUN
ejpam-3005	259	27	and	and	CCONJ
ejpam-3005	259	28	fractals	fractal	NOUN
ejpam-3005	259	29	(	(	PUNCT
ejpam-3005	259	30	42)(2009	42)(2009	NUM
ejpam-3005	259	31	)	)	PUNCT
ejpam-3005	259	32	,	,	PUNCT
ejpam-3005	259	33	331	331	NUM
ejpam-3005	259	34	-	-	SYM
ejpam-3005	259	35	344	344	NUM
ejpam-3005	259	36	.	.	PUNCT
ejpam-3005	260	1	[	[	X
ejpam-3005	260	2	22	22	NUM
ejpam-3005	260	3	]	]	PUNCT
ejpam-3005	260	4	a.	a.	NOUN
ejpam-3005	260	5	nabiev	nabiev	PROPN
ejpam-3005	260	6	,	,	PUNCT
ejpam-3005	260	7	s.	s.	PROPN
ejpam-3005	260	8	pehlivan	pehlivan	PROPN
ejpam-3005	260	9	,	,	PUNCT
ejpam-3005	260	10	m.	m.	NOUN
ejpam-3005	260	11	gürdal	gürdal	NOUN
ejpam-3005	260	12	,	,	PUNCT
ejpam-3005	260	13	on	on	ADP
ejpam-3005	260	14	icauchy	icauchy	ADJ
ejpam-3005	260	15	sequence	sequence	NOUN
ejpam-3005	260	16	,	,	PUNCT
ejpam-3005	260	17	taiwanese	taiwanese	PROPN
ejpam-3005	260	18	j.	j.	PROPN
ejpam-3005	260	19	math	math	PROPN
ejpam-3005	260	20	.	.	PUNCT
ejpam-3005	261	1	(	(	PUNCT
ejpam-3005	261	2	11)(2)(2007	11)(2)(2007	NUM
ejpam-3005	261	3	)	)	PUNCT
ejpam-3005	261	4	,	,	PUNCT
ejpam-3005	261	5	569	569	NUM
ejpam-3005	261	6	-	-	SYM
ejpam-3005	261	7	576	576	NUM
ejpam-3005	261	8	.	.	PUNCT
ejpam-3005	262	1	[	[	X
ejpam-3005	262	2	23	23	NUM
ejpam-3005	262	3	]	]	PUNCT
ejpam-3005	262	4	p.	p.	PROPN
ejpam-3005	262	5	n.	n.	PROPN
ejpam-3005	262	6	ng	ng	PROPN
ejpam-3005	262	7	and	and	CCONJ
ejpam-3005	262	8	p.y	p.y	PROPN
ejpam-3005	262	9	.	.	PROPN
ejpam-3005	262	10	lee	lee	PROPN
ejpam-3005	262	11	,	,	PUNCT
ejpam-3005	262	12	ceaaro	ceaaro	NOUN
ejpam-3005	262	13	sequence	sequence	NOUN
ejpam-3005	262	14	spaces	space	NOUN
ejpam-3005	262	15	of	of	ADP
ejpam-3005	262	16	non	non	ADJ
ejpam-3005	262	17	-	-	ADJ
ejpam-3005	262	18	absolute	absolute	ADJ
ejpam-3005	262	19	type	type	NOUN
ejpam-3005	262	20	,	,	PUNCT
ejpam-3005	262	21	comment	comment	NOUN
ejpam-3005	262	22	.	.	PUNCT
ejpam-3005	263	1	math.pracc	math.pracc	PROPN
ejpam-3005	263	2	.	.	PUNCT
ejpam-3005	264	1	math.(20)(2)(1978	math.(20)(2)(1978	PROPN
ejpam-3005	264	2	)	)	PUNCT
ejpam-3005	264	3	,	,	PUNCT
ejpam-3005	264	4	429	429	NUM
ejpam-3005	264	5	-	-	SYM
ejpam-3005	264	6	433	433	NUM
ejpam-3005	264	7	.	.	PUNCT
ejpam-3005	265	1	[	[	X
ejpam-3005	265	2	24	24	NUM
ejpam-3005	265	3	]	]	PUNCT
ejpam-3005	265	4	j.	j.	PROPN
ejpam-3005	265	5	h.	h.	PROPN
ejpam-3005	265	6	park	park	PROPN
ejpam-3005	265	7	,	,	PUNCT
ejpam-3005	265	8	intuitionistic	intuitionistic	ADJ
ejpam-3005	265	9	fuzzy	fuzzy	ADJ
ejpam-3005	265	10	matric	matric	NOUN
ejpam-3005	265	11	space	space	NOUN
ejpam-3005	265	12	,	,	PUNCT
ejpam-3005	265	13	chaos	chaos	NOUN
ejpam-3005	265	14	,	,	PUNCT
ejpam-3005	265	15	solution	solution	NOUN
ejpam-3005	265	16	and	and	CCONJ
ejpam-3005	265	17	fractals	fractal	NOUN
ejpam-3005	265	18	(	(	PUNCT
ejpam-3005	265	19	22)(2004	22)(2004	NOUN
ejpam-3005	265	20	)	)	PUNCT
ejpam-3005	265	21	,	,	PUNCT
ejpam-3005	265	22	1039	1039	NUM
ejpam-3005	265	23	-	-	SYM
ejpam-3005	265	24	1046	1046	NUM
ejpam-3005	265	25	.	.	PUNCT
ejpam-3005	266	1	[	[	X
ejpam-3005	266	2	25	25	NUM
ejpam-3005	266	3	]	]	X
ejpam-3005	266	4	r.	r.	PROPN
ejpam-3005	266	5	saddati	saddati	PROPN
ejpam-3005	266	6	,	,	PUNCT
ejpam-3005	266	7	j.	j.	PROPN
ejpam-3005	266	8	h.	h.	PROPN
ejpam-3005	266	9	park	park	PROPN
ejpam-3005	266	10	,	,	PUNCT
ejpam-3005	266	11	on	on	ADP
ejpam-3005	266	12	the	the	DET
ejpam-3005	266	13	intuitionistic	intuitionistic	ADJ
ejpam-3005	266	14	fuzzy	fuzzy	ADJ
ejpam-3005	266	15	topological	topological	ADJ
ejpam-3005	266	16	spaces	space	NOUN
ejpam-3005	266	17	,	,	PUNCT
ejpam-3005	266	18	chaos	chaos	NOUN
ejpam-3005	266	19	,	,	PUNCT
ejpam-3005	266	20	solution	solution	NOUN
ejpam-3005	266	21	and	and	CCONJ
ejpam-3005	266	22	fractals	fractal	NOUN
ejpam-3005	266	23	(	(	PUNCT
ejpam-3005	266	24	27)(2006	27)(2006	NUM
ejpam-3005	266	25	)	)	PUNCT
ejpam-3005	266	26	,	,	PUNCT
ejpam-3005	266	27	331	331	NUM
ejpam-3005	266	28	-	-	SYM
ejpam-3005	266	29	344	344	NUM
ejpam-3005	266	30	.	.	PUNCT
ejpam-3005	267	1	[	[	X
ejpam-3005	267	2	26	26	NUM
ejpam-3005	267	3	]	]	PUNCT
ejpam-3005	267	4	e.	e.	PROPN
ejpam-3005	267	5	savaş	savaş	PROPN
ejpam-3005	267	6	,	,	PUNCT
ejpam-3005	267	7	m.	m.	NOUN
ejpam-3005	267	8	mursaleen	mursaleen	PROPN
ejpam-3005	267	9	,	,	PUNCT
ejpam-3005	267	10	on	on	ADP
ejpam-3005	267	11	statistical	statistical	ADJ
ejpam-3005	267	12	convergent	convergent	NOUN
ejpam-3005	267	13	double	double	ADJ
ejpam-3005	267	14	sequences	sequence	NOUN
ejpam-3005	267	15	of	of	ADP
ejpam-3005	267	16	fuzzy	fuzzy	ADJ
ejpam-3005	267	17	numbers	number	NOUN
ejpam-3005	267	18	,	,	PUNCT
ejpam-3005	267	19	inform	inform	NOUN
ejpam-3005	267	20	.	.	PUNCT
ejpam-3005	268	1	sci	sci	PROPN
ejpam-3005	268	2	.	.	PUNCT
ejpam-3005	268	3	162(2004	162(2004	NUM
ejpam-3005	268	4	)	)	PUNCT
ejpam-3005	268	5	,	,	PUNCT
ejpam-3005	268	6	183	183	NUM
ejpam-3005	268	7	-	-	SYM
ejpam-3005	268	8	192	192	NUM
ejpam-3005	268	9	.	.	PUNCT
ejpam-3005	269	1	[	[	X
ejpam-3005	269	2	27	27	NUM
ejpam-3005	269	3	]	]	PUNCT
ejpam-3005	269	4	m.	m.	NOUN
ejpam-3005	269	5	sengönül	sengönül	NOUN
ejpam-3005	269	6	,	,	PUNCT
ejpam-3005	269	7	on	on	ADP
ejpam-3005	269	8	the	the	DET
ejpam-3005	269	9	zweier	zweier	NOUN
ejpam-3005	269	10	sequence	sequence	NOUN
ejpam-3005	269	11	space	space	NOUN
ejpam-3005	269	12	,	,	PUNCT
ejpam-3005	269	13	demonstratio	demonstratio	PROPN
ejpam-3005	269	14	mathematica	mathematica	PROPN
ejpam-3005	269	15	,	,	PUNCT
ejpam-3005	269	16	vol	vol	NOUN
ejpam-3005	269	17	.	.	PUNCT
ejpam-3005	270	1	xl	xl	PROPN
ejpam-3005	270	2	no	no	INTJ
ejpam-3005	270	3	.	.	PUNCT
ejpam-3005	271	1	(	(	PUNCT
ejpam-3005	271	2	40)(2007	40)(2007	NUM
ejpam-3005	271	3	)	)	PUNCT
ejpam-3005	271	4	,	,	PUNCT
ejpam-3005	272	1	181-‘196.1	181-‘196.1	PROPN
ejpam-3005	272	2	.	.	PUNCT
ejpam-3005	273	1	[	[	X
ejpam-3005	273	2	28	28	NUM
ejpam-3005	273	3	]	]	X
ejpam-3005	273	4	c.	c.	PROPN
ejpam-3005	273	5	s.	s.	PROPN
ejpam-3005	273	6	wang	wang	PROPN
ejpam-3005	273	7	,	,	PUNCT
ejpam-3005	273	8	on	on	ADP
ejpam-3005	273	9	nörlund	nörlund	ADJ
ejpam-3005	273	10	sequence	sequence	NOUN
ejpam-3005	273	11	spaces	space	VERB
ejpam-3005	273	12	,	,	PUNCT
ejpam-3005	273	13	tamkang	tamkang	PROPN
ejpam-3005	273	14	j.	j.	PROPN
ejpam-3005	273	15	math	math	PROPN
ejpam-3005	273	16	.	.	PUNCT
ejpam-3005	274	1	(	(	PUNCT
ejpam-3005	274	2	9)(1978	9)(1978	NUM
ejpam-3005	274	3	)	)	PUNCT
ejpam-3005	274	4	,	,	PUNCT
ejpam-3005	274	5	269	269	NUM
ejpam-3005	274	6	-	-	SYM
ejpam-3005	274	7	274.1	274.1	NUM
ejpam-3005	274	8	.	.	PUNCT
ejpam-3005	275	1	[	[	X
ejpam-3005	275	2	29	29	NUM
ejpam-3005	275	3	]	]	X
ejpam-3005	275	4	l.	l.	PROPN
ejpam-3005	275	5	a.	a.	PROPN
ejpam-3005	275	6	zadeh	zadeh	PROPN
ejpam-3005	275	7	,	,	PUNCT
ejpam-3005	275	8	fuzzy	fuzzy	ADJ
ejpam-3005	275	9	sets	set	NOUN
ejpam-3005	275	10	,	,	PUNCT
ejpam-3005	275	11	inform	inform	VERB
ejpam-3005	275	12	control	control	NOUN
ejpam-3005	275	13	,	,	PUNCT
ejpam-3005	275	14	(	(	PUNCT
ejpam-3005	275	15	8)(1965	8)(1965	NUM
ejpam-3005	275	16	)	)	PUNCT
ejpam-3005	275	17	,	,	PUNCT
ejpam-3005	275	18	338	338	NUM
ejpam-3005	275	19	-	-	SYM
ejpam-3005	275	20	353	353	NUM
ejpam-3005	275	21	.	.	NOUN
ejpam-3005	275	22	1	1	NUM
ejpam-3005	275	23	,	,	PUNCT
ejpam-3005	275	24	1.8	1.8	NUM
ejpam-3005	275	25	.	.	PUNCT