id	sid	tid	token	lemma	pos
ejpam-2574	1	1	european	european	PROPN
ejpam-2574	1	2	journal	journal	PROPN
ejpam-2574	1	3	of	of	ADP
ejpam-2574	1	4	pure	pure	ADJ
ejpam-2574	1	5	and	and	CCONJ
ejpam-2574	1	6	applied	apply	VERB
ejpam-2574	1	7	mathematics	mathematic	NOUN
ejpam-2574	1	8	vol	vol	NOUN
ejpam-2574	1	9	.	.	PROPN
ejpam-2574	2	1	10	10	NUM
ejpam-2574	2	2	,	,	PUNCT
ejpam-2574	2	3	no	no	INTJ
ejpam-2574	2	4	.	.	NOUN
ejpam-2574	2	5	3	3	NUM
ejpam-2574	2	6	,	,	PUNCT
ejpam-2574	2	7	2017	2017	NUM
ejpam-2574	2	8	,	,	PUNCT
ejpam-2574	2	9	561	561	NUM
ejpam-2574	2	10	-	-	SYM
ejpam-2574	2	11	562	562	NUM
ejpam-2574	2	12	issn	issn	PROPN
ejpam-2574	2	13	1307	1307	NUM
ejpam-2574	2	14	-	-	SYM
ejpam-2574	2	15	5543	5543	NUM
ejpam-2574	2	16	–	–	PUNCT
ejpam-2574	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2574	2	18	published	publish	VERB
ejpam-2574	2	19	by	by	ADP
ejpam-2574	2	20	new	new	PROPN
ejpam-2574	2	21	york	york	PROPN
ejpam-2574	2	22	business	business	PROPN
ejpam-2574	2	23	global	global	ADJ
ejpam-2574	2	24	comments	comment	NOUN
ejpam-2574	2	25	on	on	ADP
ejpam-2574	2	26	generalized	generalized	ADJ
ejpam-2574	2	27	closed	close	VERB
ejpam-2574	2	28	sets	set	NOUN
ejpam-2574	2	29	with	with	ADP
ejpam-2574	2	30	respect	respect	NOUN
ejpam-2574	2	31	to	to	ADP
ejpam-2574	2	32	an	an	DET
ejpam-2574	2	33	ideal	ideal	NOUN
ejpam-2574	3	1	[	[	X
ejpam-2574	3	2	s.	s.	PROPN
ejpam-2574	3	3	jafari	jafari	PROPN
ejpam-2574	3	4	and	and	CCONJ
ejpam-2574	3	5	n.	n.	PROPN
ejpam-2574	3	6	rajesh	rajesh	PROPN
ejpam-2574	3	7	,	,	PUNCT
ejpam-2574	3	8	eur	eur	PROPN
ejpam-2574	3	9	.	.	PUNCT
ejpam-2574	4	1	j.	j.	PROPN
ejpam-2574	4	2	pure	pure	PROPN
ejpam-2574	4	3	appl	appl	PROPN
ejpam-2574	4	4	.	.	PUNCT
ejpam-2574	4	5	math	math	PROPN
ejpam-2574	4	6	.	.	PUNCT
ejpam-2574	5	1	,	,	PUNCT
ejpam-2574	5	2	vol	vol	NOUN
ejpam-2574	5	3	.	.	PUNCT
ejpam-2574	6	1	4(2)(2011	4(2)(2011	NUM
ejpam-2574	6	2	)	)	PUNCT
ejpam-2574	7	1	,	,	PUNCT
ejpam-2574	7	2	147	147	NUM
ejpam-2574	7	3	-	-	SYM
ejpam-2574	7	4	151	151	NUM
ejpam-2574	7	5	]	]	PUNCT
ejpam-2574	7	6	h.	h.	PROPN
ejpam-2574	7	7	s.	s.	PROPN
ejpam-2574	7	8	al	al	PROPN
ejpam-2574	7	9	-	-	PUNCT
ejpam-2574	7	10	saadi	saadi	PROPN
ejpam-2574	7	11	mathematics	mathematics	PROPN
ejpam-2574	7	12	department	department	PROPN
ejpam-2574	7	13	,	,	PUNCT
ejpam-2574	7	14	faculty	faculty	NOUN
ejpam-2574	7	15	of	of	ADP
ejpam-2574	7	16	applied	apply	VERB
ejpam-2574	7	17	sciences	science	NOUN
ejpam-2574	7	18	,	,	PUNCT
ejpam-2574	7	19	umm	umm	INTJ
ejpam-2574	7	20	al	al	PROPN
ejpam-2574	7	21	-	-	PUNCT
ejpam-2574	7	22	qura	qura	PROPN
ejpam-2574	7	23	university	university	PROPN
ejpam-2574	7	24	saudi	saudi	PROPN
ejpam-2574	7	25	arabia	arabia	PROPN
ejpam-2574	7	26	there	there	PRON
ejpam-2574	7	27	is	be	VERB
ejpam-2574	7	28	an	an	DET
ejpam-2574	7	29	error	error	NOUN
ejpam-2574	7	30	in	in	ADP
ejpam-2574	7	31	the	the	DET
ejpam-2574	7	32	proof	proof	NOUN
ejpam-2574	7	33	of	of	ADP
ejpam-2574	7	34	theorem	theorem	ADJ
ejpam-2574	7	35	5	5	NUM
ejpam-2574	7	36	of	of	ADP
ejpam-2574	7	37	[	[	X
ejpam-2574	7	38	1	1	NUM
ejpam-2574	7	39	]	]	PUNCT
ejpam-2574	7	40	.	.	PUNCT
ejpam-2574	8	1	in	in	ADP
ejpam-2574	8	2	fact	fact	NOUN
ejpam-2574	8	3	:	:	PUNCT
ejpam-2574	8	4	remark	remark	NOUN
ejpam-2574	8	5	1	1	NUM
ejpam-2574	8	6	.	.	PUNCT
ejpam-2574	9	1	in	in	ADP
ejpam-2574	9	2	the	the	DET
ejpam-2574	9	3	proof	proof	NOUN
ejpam-2574	9	4	of	of	ADP
ejpam-2574	9	5	[	[	X
ejpam-2574	9	6	1	1	NUM
ejpam-2574	9	7	,	,	PUNCT
ejpam-2574	9	8	theorem	theorem	VERB
ejpam-2574	9	9	5	5	NUM
ejpam-2574	9	10	]	]	PUNCT
ejpam-2574	9	11	the	the	DET
ejpam-2574	9	12	inclusion	inclusion	NOUN
ejpam-2574	9	13	(	(	PUNCT
ejpam-2574	9	14	cl(a	cl(a	NOUN
ejpam-2574	9	15	)	)	PUNCT
ejpam-2574	9	16	∩	∩	ADJ
ejpam-2574	9	17	f	f	PROPN
ejpam-2574	9	18	)	)	PUNCT
ejpam-2574	9	19	/(u	/(u	PROPN
ejpam-2574	9	20	∩	∩	NOUN
ejpam-2574	9	21	(	(	PUNCT
ejpam-2574	9	22	x	x	X
ejpam-2574	9	23	/	/	SYM
ejpam-2574	9	24	f	f	PROPN
ejpam-2574	9	25	)	)	PUNCT
ejpam-2574	10	1	⊂	⊂	PROPN
ejpam-2574	10	2	cl(a)/(u	cl(a)/(u	X
ejpam-2574	10	3	∪	∪	X
ejpam-2574	10	4	(	(	PUNCT
ejpam-2574	10	5	x	x	X
ejpam-2574	10	6	/	/	SYM
ejpam-2574	10	7	f	f	PROPN
ejpam-2574	10	8	)	)	PUNCT
ejpam-2574	10	9	)	)	PUNCT
ejpam-2574	10	10	is	be	AUX
ejpam-2574	10	11	not	not	PART
ejpam-2574	10	12	true	true	ADJ
ejpam-2574	10	13	in	in	ADP
ejpam-2574	10	14	general	general	ADJ
ejpam-2574	10	15	as	as	SCONJ
ejpam-2574	10	16	shown	show	VERB
ejpam-2574	10	17	by	by	ADP
ejpam-2574	10	18	the	the	DET
ejpam-2574	10	19	following	follow	VERB
ejpam-2574	10	20	example	example	NOUN
ejpam-2574	10	21	.	.	PUNCT
ejpam-2574	11	1	example	example	NOUN
ejpam-2574	12	1	2	2	NUM
ejpam-2574	12	2	.	.	X
ejpam-2574	13	1	let	let	VERB
ejpam-2574	13	2	(	(	PUNCT
ejpam-2574	13	3	x	x	NOUN
ejpam-2574	13	4	,	,	PUNCT
ejpam-2574	13	5	τ	τ	X
ejpam-2574	13	6	)	)	PUNCT
ejpam-2574	13	7	and	and	CCONJ
ejpam-2574	13	8	i	i	PRON
ejpam-2574	13	9	as	as	ADP
ejpam-2574	13	10	be	be	VERB
ejpam-2574	13	11	as	as	ADP
ejpam-2574	13	12	in	in	ADP
ejpam-2574	13	13	[	[	NOUN
ejpam-2574	13	14	1	1	NUM
ejpam-2574	13	15	,	,	PUNCT
ejpam-2574	13	16	example	example	NOUN
ejpam-2574	13	17	1	1	NUM
ejpam-2574	13	18	]	]	PUNCT
ejpam-2574	13	19	,	,	PUNCT
ejpam-2574	13	20	where	where	SCONJ
ejpam-2574	13	21	x	x	X
ejpam-2574	13	22	=	=	PRON
ejpam-2574	13	23	{	{	PUNCT
ejpam-2574	13	24	a	a	PRON
ejpam-2574	13	25	,	,	PUNCT
ejpam-2574	13	26	b	b	NOUN
ejpam-2574	13	27	,	,	PUNCT
ejpam-2574	13	28	c	c	NOUN
ejpam-2574	13	29	}	}	PUNCT
ejpam-2574	13	30	,	,	PUNCT
ejpam-2574	13	31	τ	τ	X
ejpam-2574	13	32	=	=	PUNCT
ejpam-2574	13	33	{	{	PUNCT
ejpam-2574	13	34	φ	φ	PROPN
ejpam-2574	13	35	,	,	PUNCT
ejpam-2574	13	36	{	{	PUNCT
ejpam-2574	13	37	a	a	X
ejpam-2574	13	38	}	}	PUNCT
ejpam-2574	13	39	,	,	PUNCT
ejpam-2574	13	40	{	{	PUNCT
ejpam-2574	13	41	a	a	X
ejpam-2574	13	42	,	,	PUNCT
ejpam-2574	13	43	c	c	NOUN
ejpam-2574	13	44	}	}	PUNCT
ejpam-2574	13	45	,	,	PUNCT
ejpam-2574	13	46	x	x	NOUN
ejpam-2574	13	47	}	}	PUNCT
ejpam-2574	13	48	and	and	CCONJ
ejpam-2574	13	49	i	i	PRON
ejpam-2574	13	50	=	=	PUNCT
ejpam-2574	13	51	{	{	PUNCT
ejpam-2574	13	52	φ	φ	PROPN
ejpam-2574	13	53	,	,	PUNCT
ejpam-2574	13	54	{	{	PUNCT
ejpam-2574	13	55	b	b	NOUN
ejpam-2574	13	56	}	}	PUNCT
ejpam-2574	13	57	,	,	PUNCT
ejpam-2574	13	58	{	{	PUNCT
ejpam-2574	13	59	c	c	X
ejpam-2574	13	60	}	}	PUNCT
ejpam-2574	13	61	,	,	PUNCT
ejpam-2574	13	62	{	{	PUNCT
ejpam-2574	13	63	b	b	X
ejpam-2574	13	64	,	,	PUNCT
ejpam-2574	13	65	c	c	NOUN
ejpam-2574	13	66	}	}	PUNCT
ejpam-2574	13	67	}	}	PUNCT
ejpam-2574	13	68	.	.	PUNCT
ejpam-2574	14	1	then	then	ADV
ejpam-2574	14	2	the	the	DET
ejpam-2574	14	3	set	set	NOUN
ejpam-2574	14	4	of	of	ADP
ejpam-2574	14	5	all	all	DET
ejpam-2574	14	6	ig	ig	NOUN
ejpam-2574	14	7	-	-	VERB
ejpam-2574	14	8	closed	closed	ADJ
ejpam-2574	14	9	in	in	ADP
ejpam-2574	14	10	x	x	VERB
ejpam-2574	14	11	is	be	AUX
ejpam-2574	14	12	{	{	PUNCT
ejpam-2574	14	13	φ	φ	PROPN
ejpam-2574	14	14	,	,	PUNCT
ejpam-2574	14	15	{	{	PUNCT
ejpam-2574	14	16	a	a	X
ejpam-2574	14	17	}	}	PUNCT
ejpam-2574	14	18	,	,	PUNCT
ejpam-2574	14	19	{	{	PUNCT
ejpam-2574	14	20	b	b	NOUN
ejpam-2574	14	21	}	}	PUNCT
ejpam-2574	14	22	,	,	PUNCT
ejpam-2574	14	23	{	{	PUNCT
ejpam-2574	14	24	c	c	X
ejpam-2574	14	25	}	}	PUNCT
ejpam-2574	14	26	,	,	PUNCT
ejpam-2574	14	27	{	{	PUNCT
ejpam-2574	14	28	a	a	DET
ejpam-2574	14	29	,	,	PUNCT
ejpam-2574	14	30	b	b	NOUN
ejpam-2574	14	31	}	}	PUNCT
ejpam-2574	14	32	,	,	PUNCT
ejpam-2574	14	33	{	{	PUNCT
ejpam-2574	14	34	a	a	X
ejpam-2574	14	35	,	,	PUNCT
ejpam-2574	14	36	c	c	NOUN
ejpam-2574	14	37	}	}	PUNCT
ejpam-2574	14	38	,	,	PUNCT
ejpam-2574	14	39	{	{	PUNCT
ejpam-2574	14	40	b	b	X
ejpam-2574	14	41	,	,	PUNCT
ejpam-2574	14	42	c	c	NOUN
ejpam-2574	14	43	}	}	PUNCT
ejpam-2574	14	44	,	,	PUNCT
ejpam-2574	14	45	x	x	NOUN
ejpam-2574	14	46	}	}	PUNCT
ejpam-2574	14	47	.	.	PUNCT
ejpam-2574	15	1	let	let	VERB
ejpam-2574	15	2	a	a	DET
ejpam-2574	15	3	=	=	X
ejpam-2574	15	4	{	{	PUNCT
ejpam-2574	15	5	c	c	NOUN
ejpam-2574	15	6	}	}	PUNCT
ejpam-2574	15	7	,	,	PUNCT
ejpam-2574	15	8	u	u	NOUN
ejpam-2574	15	9	=	=	X
ejpam-2574	15	10	{	{	PUNCT
ejpam-2574	15	11	a	a	X
ejpam-2574	15	12	,	,	PUNCT
ejpam-2574	15	13	c	c	NOUN
ejpam-2574	15	14	}	}	PUNCT
ejpam-2574	15	15	and	and	CCONJ
ejpam-2574	15	16	f	f	X
ejpam-2574	15	17	=	=	PRON
ejpam-2574	15	18	{	{	PUNCT
ejpam-2574	15	19	b	b	NOUN
ejpam-2574	15	20	,	,	PUNCT
ejpam-2574	15	21	c	c	NOUN
ejpam-2574	15	22	}	}	PUNCT
ejpam-2574	15	23	.	.	PUNCT
ejpam-2574	16	1	then	then	ADV
ejpam-2574	16	2	(	(	PUNCT
ejpam-2574	16	3	cl(a	cl(a	X
ejpam-2574	16	4	)	)	PUNCT
ejpam-2574	16	5	∩	∩	ADJ
ejpam-2574	16	6	f	f	PROPN
ejpam-2574	16	7	)	)	PUNCT
ejpam-2574	16	8	/(u	/(u	PROPN
ejpam-2574	16	9	∩	∩	NOUN
ejpam-2574	16	10	(	(	PUNCT
ejpam-2574	16	11	x	x	X
ejpam-2574	16	12	/	/	SYM
ejpam-2574	16	13	f	f	PROPN
ejpam-2574	16	14	)	)	PUNCT
ejpam-2574	16	15	)	)	PUNCT
ejpam-2574	17	1	=	=	PRON
ejpam-2574	17	2	{	{	PUNCT
ejpam-2574	17	3	b	b	NOUN
ejpam-2574	17	4	,	,	PUNCT
ejpam-2574	17	5	c	c	NOUN
ejpam-2574	17	6	}	}	PUNCT
ejpam-2574	17	7	and	and	CCONJ
ejpam-2574	17	8	cl(a)/(u	cl(a)/(u	PROPN
ejpam-2574	17	9	∪	∪	X
ejpam-2574	17	10	(	(	PUNCT
ejpam-2574	17	11	x	x	X
ejpam-2574	17	12	/	/	SYM
ejpam-2574	17	13	f	f	PROPN
ejpam-2574	17	14	)	)	PUNCT
ejpam-2574	17	15	)	)	PUNCT
ejpam-2574	18	1	=	=	PRON
ejpam-2574	18	2	{	{	PUNCT
ejpam-2574	18	3	b	b	NOUN
ejpam-2574	18	4	}	}	PUNCT
ejpam-2574	18	5	.	.	PUNCT
ejpam-2574	19	1	hence	hence	ADV
ejpam-2574	19	2	the	the	DET
ejpam-2574	19	3	inclusion	inclusion	NOUN
ejpam-2574	19	4	in	in	ADP
ejpam-2574	19	5	remark	remark	NOUN
ejpam-2574	19	6	1	1	NUM
ejpam-2574	19	7	is	be	AUX
ejpam-2574	19	8	not	not	PART
ejpam-2574	19	9	true	true	ADJ
ejpam-2574	19	10	.	.	PUNCT
ejpam-2574	20	1	remark	remark	NOUN
ejpam-2574	20	2	3	3	NUM
ejpam-2574	20	3	.	.	PUNCT
ejpam-2574	21	1	we	we	PRON
ejpam-2574	21	2	provide	provide	VERB
ejpam-2574	21	3	here	here	ADV
ejpam-2574	21	4	an	an	DET
ejpam-2574	21	5	alternative	alternative	ADJ
ejpam-2574	21	6	prove	prove	NOUN
ejpam-2574	21	7	:	:	PUNCT
ejpam-2574	21	8	theorem	theorem	NOUN
ejpam-2574	21	9	4	4	NUM
ejpam-2574	21	10	.	.	PUNCT
ejpam-2574	22	1	[	[	X
ejpam-2574	22	2	1	1	NUM
ejpam-2574	22	3	,	,	PUNCT
ejpam-2574	22	4	theorem	theorem	VERB
ejpam-2574	22	5	5	5	NUM
ejpam-2574	22	6	]	]	PUNCT
ejpam-2574	22	7	let	let	VERB
ejpam-2574	22	8	a	a	PRON
ejpam-2574	22	9	be	be	AUX
ejpam-2574	22	10	an	an	DET
ejpam-2574	22	11	ig	ig	NOUN
ejpam-2574	22	12	-	-	PUNCT
ejpam-2574	22	13	closed	close	VERB
ejpam-2574	22	14	set	set	NOUN
ejpam-2574	22	15	and	and	CCONJ
ejpam-2574	22	16	f	f	PROPN
ejpam-2574	22	17	be	be	AUX
ejpam-2574	22	18	a	a	DET
ejpam-2574	22	19	closed	closed	ADJ
ejpam-2574	22	20	set	set	NOUN
ejpam-2574	22	21	in	in	ADP
ejpam-2574	22	22	(	(	PUNCT
ejpam-2574	22	23	x	x	NOUN
ejpam-2574	22	24	,	,	PUNCT
ejpam-2574	22	25	τ	τ	PROPN
ejpam-2574	22	26	)	)	PUNCT
ejpam-2574	22	27	,	,	PUNCT
ejpam-2574	22	28	then	then	ADV
ejpam-2574	22	29	a	a	DET
ejpam-2574	22	30	∩	∩	ADJ
ejpam-2574	22	31	f	f	X
ejpam-2574	22	32	is	be	AUX
ejpam-2574	22	33	an	an	DET
ejpam-2574	22	34	ig	ig	PROPN
ejpam-2574	22	35	-	-	PUNCT
ejpam-2574	22	36	closed	close	VERB
ejpam-2574	22	37	set	set	NOUN
ejpam-2574	22	38	in	in	ADP
ejpam-2574	22	39	(	(	PUNCT
ejpam-2574	22	40	x	x	NOUN
ejpam-2574	22	41	,	,	PUNCT
ejpam-2574	22	42	τ	τ	PROPN
ejpam-2574	22	43	)	)	PUNCT
ejpam-2574	22	44	.	.	PUNCT
ejpam-2574	23	1	proof	proof	NOUN
ejpam-2574	23	2	.	.	PUNCT
ejpam-2574	24	1	let	let	VERB
ejpam-2574	24	2	a	a	DET
ejpam-2574	24	3	∩	∩	ADJ
ejpam-2574	24	4	f	f	X
ejpam-2574	24	5	⊂	⊂	PROPN
ejpam-2574	24	6	u	u	PROPN
ejpam-2574	24	7	and	and	CCONJ
ejpam-2574	24	8	u	u	NOUN
ejpam-2574	24	9	is	be	AUX
ejpam-2574	24	10	open	open	ADJ
ejpam-2574	24	11	.	.	PUNCT
ejpam-2574	25	1	then	then	ADV
ejpam-2574	25	2	a	a	DET
ejpam-2574	25	3	⊂	⊂	PROPN
ejpam-2574	25	4	u	u	NOUN
ejpam-2574	25	5	∪	∪	X
ejpam-2574	25	6	(	(	PUNCT
ejpam-2574	25	7	x	x	X
ejpam-2574	25	8	/	/	SYM
ejpam-2574	25	9	f	f	PROPN
ejpam-2574	25	10	)	)	PUNCT
ejpam-2574	25	11	.	.	PUNCT
ejpam-2574	26	1	since	since	SCONJ
ejpam-2574	26	2	a	a	PRON
ejpam-2574	26	3	is	be	AUX
ejpam-2574	26	4	ig	ig	PRON
ejpam-2574	26	5	-	-	ADJ
ejpam-2574	26	6	closed	closed	ADJ
ejpam-2574	26	7	,	,	PUNCT
ejpam-2574	26	8	we	we	PRON
ejpam-2574	26	9	have	have	VERB
ejpam-2574	26	10	cl(a)/(u	cl(a)/(u	VERB
ejpam-2574	26	11	∪	∪	ADV
ejpam-2574	26	12	(	(	PUNCT
ejpam-2574	26	13	x	x	SYM
ejpam-2574	26	14	/	/	SYM
ejpam-2574	26	15	f	f	PROPN
ejpam-2574	26	16	)	)	PUNCT
ejpam-2574	26	17	)	)	PUNCT
ejpam-2574	27	1	∈	∈	PROPN
ejpam-2574	27	2	i.	i.	NOUN
ejpam-2574	27	3	now	now	ADV
ejpam-2574	27	4	,	,	PUNCT
ejpam-2574	27	5	cl(a	cl(a	X
ejpam-2574	27	6	∩	∩	X
ejpam-2574	27	7	f	f	PROPN
ejpam-2574	27	8	)	)	PUNCT
ejpam-2574	27	9	⊂	⊂	PROPN
ejpam-2574	27	10	cl(a	cl(a	NUM
ejpam-2574	27	11	)	)	PUNCT
ejpam-2574	27	12	∩	∩	NOUN
ejpam-2574	27	13	f	f	PROPN
ejpam-2574	27	14	=	=	SYM
ejpam-2574	27	15	(	(	PUNCT
ejpam-2574	27	16	cl(a	cl(a	NOUN
ejpam-2574	27	17	)	)	PUNCT
ejpam-2574	27	18	∩	∩	ADJ
ejpam-2574	27	19	f	f	NOUN
ejpam-2574	27	20	)	)	PUNCT
ejpam-2574	27	21	/(x	/(x	PUNCT
ejpam-2574	27	22	/	/	SYM
ejpam-2574	27	23	f	f	PROPN
ejpam-2574	27	24	)	)	PUNCT
ejpam-2574	27	25	.	.	PUNCT
ejpam-2574	28	1	therefore	therefore	ADV
ejpam-2574	28	2	,	,	PUNCT
ejpam-2574	28	3	cl(a	cl(a	X
ejpam-2574	28	4	∩	∩	X
ejpam-2574	28	5	f	f	PROPN
ejpam-2574	28	6	)	)	PUNCT
ejpam-2574	28	7	/u	/u	PUNCT
ejpam-2574	29	1	⊂	⊂	PROPN
ejpam-2574	29	2	(	(	PUNCT
ejpam-2574	29	3	cl(a	cl(a	NOUN
ejpam-2574	29	4	)	)	PUNCT
ejpam-2574	29	5	∩	∩	ADJ
ejpam-2574	29	6	f	f	PROPN
ejpam-2574	29	7	)	)	PUNCT
ejpam-2574	29	8	/u	/u	PROPN
ejpam-2574	29	9	=	=	SYM
ejpam-2574	29	10	cl(a	cl(a	X
ejpam-2574	29	11	)	)	PUNCT
ejpam-2574	29	12	∩	∩	ADJ
ejpam-2574	29	13	f	f	PROPN
ejpam-2574	29	14	∩	∩	X
ejpam-2574	29	15	(	(	PUNCT
ejpam-2574	29	16	x	x	SYM
ejpam-2574	29	17	/	/	SYM
ejpam-2574	29	18	u	u	NOUN
ejpam-2574	29	19	)	)	PUNCT
ejpam-2574	29	20	=	=	SYM
ejpam-2574	29	21	cl(a	cl(a	X
ejpam-2574	29	22	)	)	PUNCT
ejpam-2574	29	23	∩	∩	NOUN
ejpam-2574	29	24	(	(	PUNCT
ejpam-2574	29	25	x/(u	x/(u	PROPN
ejpam-2574	29	26	∪	∪	X
ejpam-2574	29	27	(	(	PUNCT
ejpam-2574	29	28	x	x	X
ejpam-2574	29	29	/	/	SYM
ejpam-2574	29	30	f	f	PROPN
ejpam-2574	29	31	)	)	PUNCT
ejpam-2574	29	32	)	)	PUNCT
ejpam-2574	29	33	)	)	PUNCT
ejpam-2574	30	1	=	=	SYM
ejpam-2574	30	2	cl(a)/(u	cl(a)/(u	X
ejpam-2574	30	3	∪	∪	X
ejpam-2574	30	4	(	(	PUNCT
ejpam-2574	30	5	x	x	SYM
ejpam-2574	30	6	/	/	SYM
ejpam-2574	30	7	f	f	PROPN
ejpam-2574	30	8	)	)	PUNCT
ejpam-2574	30	9	)	)	PUNCT
ejpam-2574	31	1	∈	∈	PROPN
ejpam-2574	31	2	i.	i.	NOUN
ejpam-2574	31	3	hence	hence	ADV
ejpam-2574	31	4	cl(a	cl(a	X
ejpam-2574	31	5	∩	∩	PROPN
ejpam-2574	31	6	f	f	NOUN
ejpam-2574	31	7	)	)	PUNCT
ejpam-2574	31	8	/u	/u	PUNCT
ejpam-2574	32	1	∈	∈	PROPN
ejpam-2574	32	2	i	i	PRON
ejpam-2574	32	3	and	and	CCONJ
ejpam-2574	32	4	a	a	DET
ejpam-2574	32	5	∩	∩	ADJ
ejpam-2574	32	6	f	f	PROPN
ejpam-2574	32	7	is	be	AUX
ejpam-2574	32	8	ig	ig	PROPN
ejpam-2574	32	9	-	-	ADJ
ejpam-2574	32	10	closed	closed	ADJ
ejpam-2574	32	11	in	in	ADP
ejpam-2574	32	12	(	(	PUNCT
ejpam-2574	32	13	x	x	NOUN
ejpam-2574	32	14	,	,	PUNCT
ejpam-2574	32	15	τ	τ	PROPN
ejpam-2574	32	16	)	)	PUNCT
ejpam-2574	32	17	.	.	PUNCT
ejpam-2574	33	1	email	email	NOUN
ejpam-2574	33	2	addresses	address	NOUN
ejpam-2574	33	3	:	:	PUNCT
ejpam-2574	33	4	hasa112@hotmail.com	hasa112@hotmail.com	X
ejpam-2574	33	5	(	(	PUNCT
ejpam-2574	33	6	h.	h.	PROPN
ejpam-2574	33	7	s.	s.	PROPN
ejpam-2574	33	8	al	al	PROPN
ejpam-2574	33	9	-	-	PUNCT
ejpam-2574	33	10	saadi	saadi	PROPN
ejpam-2574	33	11	)	)	PUNCT
ejpam-2574	33	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2574	34	1	561	561	NUM
ejpam-2574	35	1	c	c	X
ejpam-2574	35	2	©	©	PROPN
ejpam-2574	35	3	2017	2017	NUM
ejpam-2574	35	4	ejpam	ejpam	VERB
ejpam-2574	35	5	all	all	DET
ejpam-2574	35	6	rights	right	NOUN
ejpam-2574	35	7	reserved	reserve	VERB
ejpam-2574	35	8	.	.	PUNCT
ejpam-2574	36	1	h.	h.	PROPN
ejpam-2574	36	2	s.	s.	PROPN
ejpam-2574	36	3	al	al	PROPN
ejpam-2574	36	4	-	-	PUNCT
ejpam-2574	36	5	saadi	saadi	PROPN
ejpam-2574	36	6	/	/	SYM
ejpam-2574	36	7	eur	eur	PROPN
ejpam-2574	36	8	.	.	PUNCT
ejpam-2574	37	1	j.	j.	PROPN
ejpam-2574	37	2	pure	pure	PROPN
ejpam-2574	37	3	appl	appl	PROPN
ejpam-2574	37	4	.	.	PROPN
ejpam-2574	37	5	math	math	PROPN
ejpam-2574	37	6	,	,	PUNCT
ejpam-2574	37	7	10	10	NUM
ejpam-2574	37	8	(	(	PUNCT
ejpam-2574	37	9	3	3	NUM
ejpam-2574	37	10	)	)	PUNCT
ejpam-2574	37	11	(	(	PUNCT
ejpam-2574	37	12	2017	2017	NUM
ejpam-2574	37	13	)	)	PUNCT
ejpam-2574	37	14	,	,	PUNCT
ejpam-2574	37	15	561	561	NUM
ejpam-2574	37	16	-	-	SYM
ejpam-2574	37	17	562	562	NUM
ejpam-2574	37	18	562	562	NUM
ejpam-2574	37	19	acknowledgement	acknowledgement	NOUN
ejpam-2574	37	20	the	the	DET
ejpam-2574	37	21	useful	useful	ADJ
ejpam-2574	37	22	discussion	discussion	NOUN
ejpam-2574	37	23	with	with	ADP
ejpam-2574	37	24	prof	prof	NOUN
ejpam-2574	37	25	.	.	PUNCT
ejpam-2574	38	1	t.	t.	PROPN
ejpam-2574	38	2	noiri	noiri	PROPN
ejpam-2574	38	3	is	be	AUX
ejpam-2574	38	4	appreciated	appreciate	VERB
ejpam-2574	38	5	.	.	PUNCT
ejpam-2574	39	1	references	reference	NOUN
ejpam-2574	39	2	[	[	X
ejpam-2574	39	3	1	1	NUM
ejpam-2574	39	4	]	]	PUNCT
ejpam-2574	39	5	s.	s.	PROPN
ejpam-2574	39	6	jafari	jafari	PROPN
ejpam-2574	39	7	and	and	CCONJ
ejpam-2574	39	8	n.	n.	PROPN
ejpam-2574	39	9	rajesh	rajesh	PROPN
ejpam-2574	39	10	,	,	PUNCT
ejpam-2574	39	11	generalized	generalize	VERB
ejpam-2574	39	12	closed	close	VERB
ejpam-2574	39	13	sets	set	NOUN
ejpam-2574	39	14	with	with	ADP
ejpam-2574	39	15	respect	respect	NOUN
ejpam-2574	39	16	to	to	ADP
ejpam-2574	39	17	an	an	DET
ejpam-2574	39	18	ideal	ideal	ADJ
ejpam-2574	39	19	,	,	PUNCT
ejpam-2574	39	20	eur	eur	PROPN
ejpam-2574	39	21	.	.	PUNCT
ejpam-2574	40	1	j.	j.	PROPN
ejpam-2574	40	2	pure	pure	PROPN
ejpam-2574	40	3	appl	appl	PROPN
ejpam-2574	40	4	.	.	PUNCT
ejpam-2574	40	5	math	math	PROPN
ejpam-2574	40	6	.	.	PUNCT
ejpam-2574	41	1	,	,	PUNCT
ejpam-2574	41	2	vol	vol	NOUN
ejpam-2574	41	3	.	.	PUNCT
ejpam-2574	42	1	4(2)(2011	4(2)(2011	NUM
ejpam-2574	42	2	)	)	PUNCT
ejpam-2574	43	1	,	,	PUNCT
ejpam-2574	43	2	147	147	NUM
ejpam-2574	43	3	-	-	SYM
ejpam-2574	43	4	151	151	NUM
ejpam-2574	43	5	.	.	PUNCT