id	sid	tid	token	lemma	pos
iajs-2432	1	1	microsoft	microsoft	PROPN
iajs-2432	1	2	word	word	NOUN
iajs-2432	1	3	115	115	NUM
iajs-2432	1	4	-	-	SYM
iajs-2432	1	5	119	119	NUM
iajs-2432	1	6	  	  	SPACE
iajs-2432	1	7	115	115	NUM
iajs-2432	1	8	  	  	SPACE
iajs-2432	1	9	ibn	ibn	PROPN
iajs-2432	1	10	al	al	PROPN
iajs-2432	1	11	-	-	PUNCT
iajs-2432	1	12	haitham	haitham	PROPN
iajs-2432	1	13	jour	jour	X
iajs-2432	1	14	.	.	PROPN
iajs-2432	2	1	for	for	ADP
iajs-2432	2	2	pure	pure	ADJ
iajs-2432	2	3	&	&	CCONJ
iajs-2432	2	4	appl	appl	PROPN
iajs-2432	2	5	.	.	PUNCT
iajs-2432	3	1	sci	sci	PROPN
iajs-2432	3	2	.	.	PROPN
iajs-2432	4	1	33	33	NUM
iajs-2432	4	2	(	(	PUNCT
iajs-2432	4	3	2	2	NUM
iajs-2432	4	4	)	)	PUNCT
iajs-2432	4	5	2020	2020	NUM
iajs-2432	4	6	      	      	SPACE
iajs-2432	4	7	on	on	ADP
iajs-2432	4	8	intuitionistic	intuitionistic	ADJ
iajs-2432	4	9	fuzzy	fuzzy	ADJ
iajs-2432	4	10	asly	asly	ADV
iajs-2432	4	11	ideal	ideal	NOUN
iajs-2432	4	12	of	of	ADP
iajs-2432	4	13	ring	ring	NOUN
iajs-2432	4	14	showq	showq	NOUN
iajs-2432	4	15	mohammed	mohammed	PROPN
iajs-2432	4	16	e	e	PROPN
iajs-2432	4	17	article	article	NOUN
iajs-2432	4	18	history	history	NOUN
iajs-2432	4	19	:	:	PUNCT
iajs-2432	4	20	received	receive	VERB
iajs-2432	4	21	10	10	NUM
iajs-2432	4	22	june	june	PROPN
iajs-2432	4	23	2019	2019	NUM
iajs-2432	4	24	,	,	PUNCT
iajs-2432	4	25	accepted	accept	VERB
iajs-2432	4	26	8	8	NUM
iajs-2432	4	27	september	september	PROPN
iajs-2432	4	28	2019	2019	NUM
iajs-2432	4	29	,	,	PUNCT
iajs-2432	4	30	published	publish	VERB
iajs-2432	4	31	in	in	ADP
iajs-2432	4	32	april	april	PROPN
iajs-2432	4	33	2020	2020	NUM
iajs-2432	4	34	.	.	PUNCT
iajs-2432	5	1	abstract	abstract	ADJ
iajs-2432	5	2	in	in	ADP
iajs-2432	5	3	this	this	DET
iajs-2432	5	4	paper	paper	NOUN
iajs-2432	5	5	we	we	PRON
iajs-2432	5	6	tend	tend	VERB
iajs-2432	5	7	to	to	PART
iajs-2432	5	8	describe	describe	VERB
iajs-2432	5	9	the	the	DET
iajs-2432	5	10	notions	notion	NOUN
iajs-2432	5	11	of	of	ADP
iajs-2432	5	12	intuitionistic	intuitionistic	ADJ
iajs-2432	5	13	fuzzy	fuzzy	ADJ
iajs-2432	5	14	asly	asly	ADV
iajs-2432	5	15	ideal	ideal	NOUN
iajs-2432	5	16	of	of	ADP
iajs-2432	5	17	ring	ring	NOUN
iajs-2432	5	18	indicated	indicate	VERB
iajs-2432	5	19	by	by	ADP
iajs-2432	5	20	(	(	PUNCT
iajs-2432	5	21	i.	i.	NOUN
iajs-2432	5	22	f.asly	f.asly	ADV
iajs-2432	5	23	)	)	PUNCT
iajs-2432	5	24	ideal	ideal	NOUN
iajs-2432	5	25	and	and	CCONJ
iajs-2432	5	26	,	,	PUNCT
iajs-2432	5	27	we	we	PRON
iajs-2432	5	28	will	will	AUX
iajs-2432	5	29	explore	explore	VERB
iajs-2432	5	30	some	some	DET
iajs-2432	5	31	properties	property	NOUN
iajs-2432	5	32	and	and	CCONJ
iajs-2432	5	33	connections	connection	NOUN
iajs-2432	5	34	about	about	ADP
iajs-2432	5	35	this	this	DET
iajs-2432	5	36	concept	concept	NOUN
iajs-2432	5	37	.	.	PUNCT
iajs-2432	6	1	key	key	ADJ
iajs-2432	6	2	words	word	NOUN
iajs-2432	6	3	:	:	PUNCT
iajs-2432	6	4	fuzzy	fuzzy	ADJ
iajs-2432	6	5	set	set	NOUN
iajs-2432	6	6	,	,	PUNCT
iajs-2432	6	7	intuitionistic	intuitionistic	ADJ
iajs-2432	6	8	fuzzy	fuzzy	ADJ
iajs-2432	6	9	sub	sub	NOUN
iajs-2432	6	10	ring	ring	NOUN
iajs-2432	6	11	,	,	PUNCT
iajs-2432	6	12	intuitionistic	intuitionistic	ADJ
iajs-2432	6	13	fuzzy	fuzzy	ADJ
iajs-2432	6	14	ideal	ideal	NOUN
iajs-2432	6	15	.	.	PUNCT
iajs-2432	7	1	introduction	introduction	NOUN
iajs-2432	7	2	.	.	PUNCT
iajs-2432	8	1	1	1	NUM
iajs-2432	8	2	in	in	ADP
iajs-2432	8	3	1965	1965	NUM
iajs-2432	8	4	,	,	PUNCT
iajs-2432	8	5	zadeh	zadeh	PROPN
iajs-2432	8	6	introduceed	introduce	VERB
iajs-2432	8	7	the	the	DET
iajs-2432	8	8	notion	notion	NOUN
iajs-2432	8	9	of	of	ADP
iajs-2432	8	10	a	a	DET
iajs-2432	8	11	fuzzy	fuzzy	ADJ
iajs-2432	8	12	set	set	NOUN
iajs-2432	8	13	[	[	X
iajs-2432	8	14	1	1	NUM
iajs-2432	8	15	]	]	PUNCT
iajs-2432	8	16	.	.	PUNCT
iajs-2432	9	1	in	in	ADP
iajs-2432	9	2	1986	1986	NUM
iajs-2432	9	3	rosenfeld	rosenfeld	PROPN
iajs-2432	9	4	applied	apply	VERB
iajs-2432	9	5	this	this	DET
iajs-2432	9	6	concept	concept	NOUN
iajs-2432	9	7	to	to	ADP
iajs-2432	9	8	group	group	NOUN
iajs-2432	9	9	theory[2	theory[2	PROPN
iajs-2432	9	10	]	]	PUNCT
iajs-2432	9	11	.	.	PUNCT
iajs-2432	10	1	in	in	ADP
iajs-2432	10	2	1986	1986	NUM
iajs-2432	10	3	atanassov	atanassov	NOUN
iajs-2432	10	4	introduced	introduce	VERB
iajs-2432	10	5	the	the	DET
iajs-2432	10	6	concept	concept	NOUN
iajs-2432	10	7	of	of	ADP
iajs-2432	10	8	intuitionistic	intuitionistic	ADJ
iajs-2432	10	9	fuzzy	fuzzy	ADJ
iajs-2432	10	10	set	set	NOUN
iajs-2432	10	11	.	.	PUNCT
iajs-2432	11	1	let	let	VERB
iajs-2432	11	2	a	a	PRON
iajs-2432	11	3	in	in	ADP
iajs-2432	11	4	a	a	DET
iajs-2432	11	5	non	non	ADJ
iajs-2432	11	6	-	-	ADJ
iajs-2432	11	7	empty	empty	ADJ
iajs-2432	11	8	set	set	NOUN
iajs-2432	11	9	x	x	PUNCT
iajs-2432	11	10	is	be	AUX
iajs-2432	11	11	an	an	DET
iajs-2432	11	12	object	object	NOUN
iajs-2432	11	13	having	have	VERB
iajs-2432	11	14	the	the	DET
iajs-2432	11	15	form	form	NOUN
iajs-2432	11	16	a=	a=	VERB
iajs-2432	11	17	}	}	PUNCT
iajs-2432	11	18	)	)	PUNCT
iajs-2432	11	19	)	)	PUNCT
iajs-2432	11	20	(	(	PUNCT
iajs-2432	11	21	)	)	PUNCT
iajs-2432	11	22	,	,	PUNCT
iajs-2432	11	23	(	(	PUNCT
iajs-2432	11	24	,	,	PUNCT
iajs-2432	11	25	{	{	PUNCT
iajs-2432	11	26	(	(	PUNCT
iajs-2432	11	27	xxxxx	xxxxx	PROPN
iajs-2432	11	28	aa	aa	PROPN
iajs-2432	11	29			PROPN
iajs-2432	11	30	,	,	PUNCT
iajs-2432	11	31	where	where	SCONJ
iajs-2432	11	32	the	the	DET
iajs-2432	11	33	functions	function	NOUN
iajs-2432	11	34	]	]	PUNCT
iajs-2432	11	35	1,0	1,0	NUM
iajs-2432	11	36	[:	[:	X
iajs-2432	11	37	xa	xa	ADV
iajs-2432	11	38	denote	denote	VERB
iajs-2432	11	39	the	the	DET
iajs-2432	11	40	degree	degree	NOUN
iajs-2432	11	41	of	of	ADP
iajs-2432	11	42	membership	membership	NOUN
iajs-2432	11	43	and	and	CCONJ
iajs-2432	11	44	]	]	X
iajs-2432	11	45	1,0	1,0	NUM
iajs-2432	11	46	[:	[:	X
iajs-2432	11	47	xa	xa	PROPN
iajs-2432	11	48	the	the	DET
iajs-2432	11	49	degree	degree	NOUN
iajs-2432	11	50	of	of	ADP
iajs-2432	11	51	non	non	ADJ
iajs-2432	11	52	-	-	NOUN
iajs-2432	11	53	membership	membership	NOUN
iajs-2432	11	54	of	of	ADP
iajs-2432	11	55	each	each	DET
iajs-2432	11	56	element	element	NOUN
iajs-2432	11	57	xx	xx	PROPN
iajs-2432	11	58	to	to	ADP
iajs-2432	11	59	the	the	DET
iajs-2432	11	60	set	set	NOUN
iajs-2432	11	61	a	a	PRON
iajs-2432	11	62	and	and	CCONJ
iajs-2432	11	63	x	x	SYM
iajs-2432	11	64	xallfor	xallfor	ADP
iajs-2432	11	65	1)()(0	1)()(0	NUM
iajs-2432	11	66			ADJ
iajs-2432	11	67	xaxa	xaxa	NOUN
iajs-2432	11	68			NOUN
iajs-2432	11	69	[	[	X
iajs-2432	11	70	3	3	NUM
iajs-2432	11	71	]	]	PUNCT
iajs-2432	11	72	.	.	PUNCT
iajs-2432	12	1	in	in	ADP
iajs-2432	12	2	1989	1989	NUM
iajs-2432	12	3	biswas	biswas	PROPN
iajs-2432	12	4	introduced	introduce	VERB
iajs-2432	12	5	the	the	DET
iajs-2432	12	6	intuitionistic	intuitionistic	ADJ
iajs-2432	12	7	fuzzy	fuzzy	ADJ
iajs-2432	12	8	subgroup	subgroup	NOUN
iajs-2432	12	9	and	and	CCONJ
iajs-2432	12	10	studied	study	VERB
iajs-2432	12	11	some	some	PRON
iajs-2432	12	12	of	of	ADP
iajs-2432	12	13	its	its	PRON
iajs-2432	12	14	properties	property	NOUN
iajs-2432	12	15	[	[	X
iajs-2432	12	16	4	4	NUM
iajs-2432	12	17	]	]	PUNCT
iajs-2432	12	18	.	.	PUNCT
iajs-2432	13	1	in	in	ADP
iajs-2432	13	2	2003	2003	NUM
iajs-2432	13	3	banerjee	banerjee	NOUN
iajs-2432	13	4	and	and	CCONJ
iajs-2432	13	5	basnet	basnet	PROPN
iajs-2432	13	6	investigated	investigate	VERB
iajs-2432	13	7	intuitionistic	intuitionistic	ADJ
iajs-2432	13	8	fuzzy	fuzzy	ADJ
iajs-2432	13	9	subrings	subring	NOUN
iajs-2432	13	10	and	and	CCONJ
iajs-2432	13	11	intuitionistic	intuitionistic	ADJ
iajs-2432	13	12	fuzzy	fuzzy	ADJ
iajs-2432	13	13	ideal	ideal	NOUN
iajs-2432	13	14	using	use	VERB
iajs-2432	13	15	intuitionistic	intuitionistic	ADJ
iajs-2432	13	16	fuzzy	fuzzy	ADJ
iajs-2432	13	17	sets	set	NOUN
iajs-2432	13	18	[	[	X
iajs-2432	13	19	5	5	NUM
iajs-2432	13	20	-	-	SYM
iajs-2432	13	21	7	7	NUM
iajs-2432	13	22	]	]	PUNCT
iajs-2432	13	23	.	.	PUNCT
iajs-2432	14	1	in	in	ADP
iajs-2432	14	2	this	this	DET
iajs-2432	14	3	paper	paper	NOUN
iajs-2432	14	4	,	,	PUNCT
iajs-2432	14	5	we	we	PRON
iajs-2432	14	6	will	will	AUX
iajs-2432	14	7	recall	recall	VERB
iajs-2432	14	8	some	some	DET
iajs-2432	14	9	basic	basic	ADJ
iajs-2432	14	10	definitions	definition	NOUN
iajs-2432	14	11	.	.	PUNCT
iajs-2432	15	1	let	let	VERB
iajs-2432	15	2	r	r	PRON
iajs-2432	15	3	be	be	AUX
iajs-2432	15	4	a	a	DET
iajs-2432	15	5	ring	ring	NOUN
iajs-2432	15	6	,	,	PUNCT
iajs-2432	15	7	an	an	DET
iajs-2432	15	8	(	(	PUNCT
iajs-2432	15	9	i.f.s	i.f.s	NOUN
iajs-2432	15	10	)	)	PUNCT
iajs-2432	15	11	a=	a=	VERB
iajs-2432	16	1			PROPN
iajs-2432	16	2			PROPN
iajs-2432	16	3	)	)	PUNCT
iajs-2432	16	4	)	)	PUNCT
iajs-2432	16	5	,	,	PUNCT
iajs-2432	16	6	(	(	PUNCT
iajs-2432	16	7	)	)	PUNCT
iajs-2432	16	8	,	,	PUNCT
iajs-2432	16	9	(	(	PUNCT
iajs-2432	16	10	,	,	PUNCT
iajs-2432	16	11	(	(	PUNCT
iajs-2432	16	12	raa	raa	NOUN
iajs-2432	16	13			PROPN
iajs-2432	16	14			NUM
iajs-2432	16	15	of	of	ADP
iajs-2432	16	16	r	r	NOUN
iajs-2432	16	17	is	be	AUX
iajs-2432	16	18	said	say	VERB
iajs-2432	16	19	to	to	PART
iajs-2432	16	20	be	be	AUX
iajs-2432	16	21	intuitionistic	intuitionistic	ADJ
iajs-2432	16	22	fuzzy	fuzzy	ADJ
iajs-2432	16	23	subring	subring	NOUN
iajs-2432	16	24	means	mean	NOUN
iajs-2432	16	25	by	by	ADP
iajs-2432	16	26	(	(	PUNCT
iajs-2432	16	27	ifs	ifs	PROPN
iajs-2432	16	28	)	)	PUNCT
iajs-2432	16	29	of	of	ADP
iajs-2432	16	30	r	r	PRON
iajs-2432	16	31	if	if	SCONJ
iajs-2432	16	32	]	]	X
iajs-2432	16	33	.7,6	.7,6	X
iajs-2432	16	34	.	.	PUNCT
iajs-2432	17	1	[	[	X
iajs-2432	17	2	,	,	PUNCT
iajs-2432	17	3	)	)	PUNCT
iajs-2432	17	4	}	}	PUNCT
iajs-2432	17	5	,	,	PUNCT
iajs-2432	17	6	(	(	PUNCT
iajs-2432	17	7	)	)	PUNCT
iajs-2432	17	8	,	,	PUNCT
iajs-2432	17	9	(	(	PUNCT
iajs-2432	17	10	max	max	PROPN
iajs-2432	17	11	{	{	PUNCT
iajs-2432	17	12	)	)	PUNCT
iajs-2432	17	13	(	(	PUNCT
iajs-2432	17	14	and	and	CCONJ
iajs-2432	17	15	)	)	PUNCT
iajs-2432	17	16	}	}	PUNCT
iajs-2432	17	17	(	(	PUNCT
iajs-2432	17	18	)	)	PUNCT
iajs-2432	17	19	,	,	PUNCT
iajs-2432	17	20	(	(	PUNCT
iajs-2432	17	21	max	max	PROPN
iajs-2432	17	22	{	{	PUNCT
iajs-2432	17	23	)	)	PUNCT
iajs-2432	17	24	(	(	PUNCT
iajs-2432	17	25	)	)	PUNCT
iajs-2432	17	26	}	}	PUNCT
iajs-2432	17	27	,	,	PUNCT
iajs-2432	17	28	(	(	PUNCT
iajs-2432	17	29	)	)	PUNCT
iajs-2432	17	30	,	,	PUNCT
iajs-2432	17	31	(	(	PUNCT
iajs-2432	17	32	min	min	NOUN
iajs-2432	17	33	{	{	PUNCT
iajs-2432	17	34	)	)	PUNCT
iajs-2432	17	35	(	(	PUNCT
iajs-2432	17	36	,	,	PUNCT
iajs-2432	17	37	)	)	PUNCT
iajs-2432	17	38	}	}	PUNCT
iajs-2432	17	39	(	(	PUNCT
iajs-2432	17	40	)	)	PUNCT
iajs-2432	17	41	,	,	PUNCT
iajs-2432	17	42	(	(	PUNCT
iajs-2432	17	43	min	min	NOUN
iajs-2432	17	44	{	{	PUNCT
iajs-2432	17	45	)	)	PUNCT
iajs-2432	17	46	(	(	PUNCT
iajs-2432	17	47	raaa	raaa	PROPN
iajs-2432	17	48	aaaaaaaaa	aaaaaaaaa	VERB
iajs-2432	17	49			NUM
iajs-2432	17	50			PROPN
iajs-2432	18	1			PROPN
iajs-2432	18	2			PROPN
iajs-2432	18	3			PROPN
iajs-2432	18	4			NOUN
iajs-2432	18	5	in	in	ADP
iajs-2432	18	6	2012	2012	NUM
iajs-2432	18	7	,	,	PUNCT
iajs-2432	18	8	sharma	sharma	PROPN
iajs-2432	18	9	p.k	p.k	PROPN
iajs-2432	18	10	introduced	introduce	VERB
iajs-2432	18	11	the	the	DET
iajs-2432	18	12	notion	notion	NOUN
iajs-2432	18	13	of	of	ADP
iajs-2432	18	14	intuitionistic	intuitionistic	ADJ
iajs-2432	18	15	fuzzy	fuzzy	ADJ
iajs-2432	18	16	ideal	ideal	NOUN
iajs-2432	18	17	by	by	ADP
iajs-2432	18	18	(	(	PUNCT
iajs-2432	18	19	i.f.i	i.f.i	ADJ
iajs-2432	18	20	)	)	PUNCT
iajs-2432	18	21	.	.	PUNCT
iajs-2432	19	1	let	let	VERB
iajs-2432	19	2	:	:	PUNCT
iajs-2432	20	1	a=	a=	PROPN
iajs-2432	20	2			PROPN
iajs-2432	20	3	r	r	NOUN
iajs-2432	20	4	)	)	PUNCT
iajs-2432	20	5	)	)	PUNCT
iajs-2432	20	6	,	,	PUNCT
iajs-2432	20	7	(	(	PUNCT
iajs-2432	20	8	)	)	PUNCT
iajs-2432	20	9	,	,	PUNCT
iajs-2432	20	10	(	(	PUNCT
iajs-2432	20	11	,	,	PUNCT
iajs-2432	20	12	(	(	PUNCT
iajs-2432	20	13	aa	aa	NOUN
iajs-2432	20	14			PROPN
iajs-2432	20	15			NUM
iajs-2432	20	16	of	of	ADP
iajs-2432	20	17	a	a	DET
iajs-2432	20	18	ring	ring	NOUN
iajs-2432	20	19	r	r	NOUN
iajs-2432	20	20	if	if	SCONJ
iajs-2432	20	21	satisfies	satisfy	VERB
iajs-2432	20	22	the	the	DET
iajs-2432	20	23	four	four	NUM
iajs-2432	20	24	conditions	condition	NOUN
iajs-2432	20	25	,	,	PUNCT
iajs-2432	20	26	)	)	PUNCT
iajs-2432	20	27	}	}	PUNCT
iajs-2432	20	28	,	,	PUNCT
iajs-2432	20	29	(	(	PUNCT
iajs-2432	20	30	)	)	PUNCT
iajs-2432	20	31	,	,	PUNCT
iajs-2432	20	32	(	(	PUNCT
iajs-2432	20	33	max	max	PROPN
iajs-2432	20	34	{	{	PUNCT
iajs-2432	20	35	)	)	PUNCT
iajs-2432	20	36	(	(	PUNCT
iajs-2432	20	37	,	,	PUNCT
iajs-2432	20	38	)	)	PUNCT
iajs-2432	20	39	}	}	PUNCT
iajs-2432	20	40	(	(	PUNCT
iajs-2432	20	41	)	)	PUNCT
iajs-2432	20	42	,	,	PUNCT
iajs-2432	20	43	(	(	PUNCT
iajs-2432	20	44	min	min	NOUN
iajs-2432	20	45	{	{	PUNCT
iajs-2432	20	46	)	)	PUNCT
iajs-2432	20	47	(	(	PUNCT
iajs-2432	20	48			NUM
iajs-2432	20	49	aaaaaa	aaaaaa	NOUN
iajs-2432	20	50			PROPN
iajs-2432	20	51			NUM
iajs-2432	20	52	)	)	PUNCT
iajs-2432	20	53	}	}	PUNCT
iajs-2432	20	54	(	(	PUNCT
iajs-2432	20	55	)	)	PUNCT
iajs-2432	20	56	,	,	PUNCT
iajs-2432	20	57	(	(	PUNCT
iajs-2432	20	58	min	min	NOUN
iajs-2432	20	59	{	{	PUNCT
iajs-2432	20	60	)	)	PUNCT
iajs-2432	20	61	(	(	PUNCT
iajs-2432	20	62	and	and	CCONJ
iajs-2432	20	63	)	)	PUNCT
iajs-2432	20	64	}	}	PUNCT
iajs-2432	20	65	(	(	PUNCT
iajs-2432	20	66	)	)	PUNCT
iajs-2432	20	67	,	,	PUNCT
iajs-2432	20	68	(	(	PUNCT
iajs-2432	20	69	max	max	PROPN
iajs-2432	20	70	{	{	PUNCT
iajs-2432	20	71	)	)	PUNCT
iajs-2432	20	72	(	(	PUNCT
iajs-2432	20	73			PROPN
iajs-2432	20	74	aaaaaa	aaaaaa	NOUN
iajs-2432	20	75			ADP
iajs-2432	20	76			NUM
iajs-2432	20	77	[	[	X
iajs-2432	20	78	8	8	NUM
iajs-2432	20	79	]	]	PUNCT
iajs-2432	20	80	.	.	PUNCT
iajs-2432	21	1	ibn	ibn	PROPN
iajs-2432	21	2	al	al	PROPN
iajs-2432	21	3	haitham	haitham	PROPN
iajs-2432	21	4	journal	journal	PROPN
iajs-2432	21	5	for	for	ADP
iajs-2432	21	6	pure	pure	ADJ
iajs-2432	21	7	and	and	CCONJ
iajs-2432	21	8	applied	apply	VERB
iajs-2432	21	9	science	science	NOUN
iajs-2432	21	10	journal	journal	PROPN
iajs-2432	21	11	homepage	homepage	NOUN
iajs-2432	21	12	:	:	PUNCT
iajs-2432	21	13	http://jih.uobaghdad.edu.iq/index.php/j/index	http://jih.uobaghdad.edu.iq/index.php/j/index	NOUN
iajs-2432	21	14	doi	doi	NOUN
iajs-2432	21	15	:	:	PUNCT
iajs-2432	21	16	10.30526/33.2.2432	10.30526/33.2.2432	PROPN
iajs-2432	21	17	al	al	PROPN
iajs-2432	21	18	-	-	PUNCT
iajs-2432	21	19	kufa	kufa	PROPN
iajs-2432	21	20	university	university	PROPN
iajs-2432	21	21	for	for	ADP
iajs-2432	21	22	girls	girl	NOUN
iajs-2432	21	23	,	,	PUNCT
iajs-2432	21	24	,	,	PUNCT
iajs-2432	21	25	college	college	NOUN
iajs-2432	21	26	of	of	ADP
iajs-2432	21	27	education	education	PROPN
iajs-2432	21	28	department	department	PROPN
iajs-2432	21	29	of	of	ADP
iajs-2432	21	30	mathematics	mathematics	PROPN
iajs-2432	21	31	showqm.ibriheem@uokufa.edu.iq	showqm.ibriheem@uokufa.edu.iq	NOUN
iajs-2432	21	32	  	  	SPACE
iajs-2432	21	33	116	116	NUM
iajs-2432	21	34	ibn	ibn	PROPN
iajs-2432	21	35	al	al	PROPN
iajs-2432	21	36	-	-	PUNCT
iajs-2432	21	37	haitham	haitham	PROPN
iajs-2432	21	38	jour	jour	X
iajs-2432	21	39	.	.	PROPN
iajs-2432	22	1	for	for	ADP
iajs-2432	22	2	pure	pure	ADJ
iajs-2432	22	3	&	&	CCONJ
iajs-2432	22	4	appl	appl	PROPN
iajs-2432	22	5	.	.	PUNCT
iajs-2432	23	1	sci	sci	PROPN
iajs-2432	23	2	.	.	PROPN
iajs-2432	24	1	33	33	NUM
iajs-2432	24	2	(	(	PUNCT
iajs-2432	24	3	2	2	NUM
iajs-2432	24	4	)	)	PUNCT
iajs-2432	24	5	2020	2020	NUM
iajs-2432	24	6	2	2	NUM
iajs-2432	24	7	.	.	PUNCT
iajs-2432	24	8	intuitionistic	intuitionistic	ADJ
iajs-2432	24	9	fuzzy	fuzzy	ADJ
iajs-2432	24	10	asly	asly	ADV
iajs-2432	24	11	ideal	ideal	ADJ
iajs-2432	24	12	definition	definition	NOUN
iajs-2432	24	13	(	(	PUNCT
iajs-2432	24	14	1	1	X
iajs-2432	24	15	)	)	PUNCT
iajs-2432	24	16	let	let	VERB
iajs-2432	24	17	a=	a=	PROPN
iajs-2432	24	18			PROPN
iajs-2432	24	19	)	)	PUNCT
iajs-2432	24	20	)	)	PUNCT
iajs-2432	24	21	,	,	PUNCT
iajs-2432	24	22	(	(	PUNCT
iajs-2432	24	23	)	)	PUNCT
iajs-2432	24	24	,	,	PUNCT
iajs-2432	24	25	(	(	PUNCT
iajs-2432	24	26	,	,	PUNCT
iajs-2432	24	27	(	(	PUNCT
iajs-2432	24	28	raa	raa	NOUN
iajs-2432	24	29			PROPN
iajs-2432	24	30			AUX
iajs-2432	24	31	be	be	AUX
iajs-2432	24	32	(	(	PUNCT
iajs-2432	24	33	ifs	ifs	PROPN
iajs-2432	24	34	)	)	PUNCT
iajs-2432	24	35	of	of	ADP
iajs-2432	24	36	a	a	DET
iajs-2432	24	37	ring	ring	NOUN
iajs-2432	24	38	r	r	NOUN
iajs-2432	24	39	said	say	VERB
iajs-2432	24	40	to	to	PART
iajs-2432	24	41	be	be	AUX
iajs-2432	24	42	an	an	DET
iajs-2432	24	43	intuitionistic	intuitionistic	ADJ
iajs-2432	24	44	fuzzy	fuzzy	ADJ
iajs-2432	24	45	asly	asly	ADV
iajs-2432	24	46	ideal	ideal	ADJ
iajs-2432	24	47	of	of	ADP
iajs-2432	24	48	a	a	DET
iajs-2432	24	49	ring	ring	NOUN
iajs-2432	24	50	r	r	NOUN
iajs-2432	24	51	means	mean	NOUN
iajs-2432	24	52	by	by	ADP
iajs-2432	24	53	(	(	PUNCT
iajs-2432	24	54	i.	i.	NOUN
iajs-2432	24	55	f.asly	f.asly	ADV
iajs-2432	24	56	)	)	PUNCT
iajs-2432	24	57	ideal	ideal	ADJ
iajs-2432	24	58	if	if	SCONJ
iajs-2432	24	59	and	and	CCONJ
iajs-2432	24	60	only	only	ADV
iajs-2432	24	61	if	if	SCONJ
iajs-2432	24	62	]	]	X
iajs-2432	24	63	.1,0[:)(],1,0	.1,0[:)(],1,0	X
iajs-2432	25	1	[:	[:	X
iajs-2432	25	2	)	)	PUNCT
iajs-2432	25	3	(	(	PUNCT
iajs-2432	25	4	,	,	PUNCT
iajs-2432	25	5	)	)	PUNCT
iajs-2432	25	6	}	}	PUNCT
iajs-2432	25	7	.(),(min	.(),(min	X
iajs-2432	25	8	{	{	PUNCT
iajs-2432	25	9	)	)	PUNCT
iajs-2432	25	10	(	(	PUNCT
iajs-2432	25	11	4	4	NUM
iajs-2432	25	12	.	.	NUM
iajs-2432	25	13	)	)	PUNCT
iajs-2432	25	14	}	}	PUNCT
iajs-2432	25	15	(	(	PUNCT
iajs-2432	25	16	)	)	PUNCT
iajs-2432	25	17	(	(	PUNCT
iajs-2432	25	18	.3	.3	NUM
iajs-2432	25	19	)	)	PUNCT
iajs-2432	25	20	}	}	PUNCT
iajs-2432	25	21	(	(	PUNCT
iajs-2432	25	22	)	)	PUNCT
iajs-2432	25	23	,	,	PUNCT
iajs-2432	25	24	(	(	PUNCT
iajs-2432	25	25	max	max	PROPN
iajs-2432	25	26	{	{	PUNCT
iajs-2432	25	27	)	)	PUNCT
iajs-2432	25	28	(	(	PUNCT
iajs-2432	25	29	2	2	NUM
iajs-2432	25	30	.	.	NUM
iajs-2432	25	31	)	)	PUNCT
iajs-2432	25	32	(	(	PUNCT
iajs-2432	25	33	)	)	PUNCT
iajs-2432	25	34	(	(	PUNCT
iajs-2432	25	35	.1	.1	NUM
iajs-2432	25	36			NUM
iajs-2432	25	37			NUM
iajs-2432	25	38			PROPN
iajs-2432	25	39			PROPN
iajs-2432	25	40			NOUN
iajs-2432	25	41	rrwhere	rrwhere	ADV
iajs-2432	25	42	r	r	NOUN
iajs-2432	25	43	aa	aa	NOUN
iajs-2432	25	44	aaa	aaa	NOUN
iajs-2432	25	45	aa	aa	NOUN
iajs-2432	25	46	aaa	aaa	NOUN
iajs-2432	25	47	aa	aa	INTJ
iajs-2432	25	48			PROPN
iajs-2432	26	1			X
iajs-2432	26	2			PUNCT
iajs-2432	26	3			X
iajs-2432	26	4			X
iajs-2432	26	5			NOUN
iajs-2432	26	6			PROPN
iajs-2432	26	7			NOUN
iajs-2432	26	8			ADV
iajs-2432	26	9			ADV
iajs-2432	26	10	example	example	NOUN
iajs-2432	26	11	(	(	PUNCT
iajs-2432	26	12	2	2	X
iajs-2432	26	13	)	)	PUNCT
iajs-2432	26	14	let	let	VERB
iajs-2432	26	15	r	r	NOUN
iajs-2432	26	16	be	be	AUX
iajs-2432	26	17	the	the	DET
iajs-2432	26	18	set	set	NOUN
iajs-2432	26	19	of	of	ADP
iajs-2432	26	20	22	22	NUM
iajs-2432	26	21	matrices	matrix	NOUN
iajs-2432	26	22	over	over	ADP
iajs-2432	26	23	non	non	PRON
iajs-2432	26	24	negative	negative	ADJ
iajs-2432	26	25	integer	integer	NOUN
iajs-2432	26	26	z	z	PROPN
iajs-2432	26	27	otherwise	otherwise	ADV
iajs-2432	26	28	9.0	9.0	NUM
iajs-2432	26	29	}	}	PUNCT
iajs-2432	26	30	3,1/	3,1/	NUM
iajs-2432	26	31	{	{	PUNCT
iajs-2432	26	32	,	,	PUNCT
iajs-2432	26	33	0	0	NUM
iajs-2432	26	34	0	0	NUM
iajs-2432	27	1	q	q	NOUN
iajs-2432	27	2	s	s	X
iajs-2432	27	3	if	if	SCONJ
iajs-2432	27	4	2.0	2.0	NUM
iajs-2432	27	5	)	)	PUNCT
iajs-2432	27	6	(	(	PUNCT
iajs-2432	27	7	otherwise	otherwise	ADV
iajs-2432	27	8	1.0	1.0	NUM
iajs-2432	27	9	}	}	PUNCT
iajs-2432	27	10	3,1/	3,1/	NUM
iajs-2432	27	11	{	{	PUNCT
iajs-2432	27	12	,	,	PUNCT
iajs-2432	27	13	0	0	NUM
iajs-2432	27	14	0	0	NUM
iajs-2432	28	1	q	q	NOUN
iajs-2432	28	2	s	s	X
iajs-2432	28	3	if	if	SCONJ
iajs-2432	28	4	8.0	8.0	NUM
iajs-2432	28	5	)	)	PUNCT
iajs-2432	28	6	(	(	PUNCT
iajs-2432	28	7			NUM
iajs-2432	28	8			PROPN
iajs-2432	28	9			NUM
iajs-2432	28	10			NUM
iajs-2432	28	11			NOUN
iajs-2432	28	12			SYM
iajs-2432	28	13			NOUN
iajs-2432	28	14			PROPN
iajs-2432	28	15			PROPN
iajs-2432	28	16			PROPN
iajs-2432	28	17			NOUN
iajs-2432	28	18			NOUN
iajs-2432	28	19			NOUN
iajs-2432	29	1			NUM
iajs-2432	29	2			PROPN
iajs-2432	29	3			NUM
iajs-2432	29	4			NUM
iajs-2432	29	5			NOUN
iajs-2432	29	6			SYM
iajs-2432	29	7			NOUN
iajs-2432	30	1			PROPN
iajs-2432	30	2			PROPN
iajs-2432	30	3			PROPN
iajs-2432	30	4			NOUN
iajs-2432	30	5			PROPN
iajs-2432	30	6			X
iajs-2432	30	7	zqswhere	zqswhere	X
iajs-2432	30	8	a	a	DET
iajs-2432	30	9	zqswhere	zqswhere	NOUN
iajs-2432	30	10	a	a	DET
iajs-2432	30	11			NOUN
iajs-2432	30	12			NOUN
iajs-2432	30	13			X
iajs-2432	30	14			X
iajs-2432	30	15	clearly	clearly	ADV
iajs-2432	30	16			PROPN
iajs-2432	30	17			PROPN
iajs-2432	30	18	)	)	PUNCT
iajs-2432	30	19	)	)	PUNCT
iajs-2432	30	20	,	,	PUNCT
iajs-2432	30	21	(	(	PUNCT
iajs-2432	30	22	)	)	PUNCT
iajs-2432	30	23	,	,	PUNCT
iajs-2432	30	24	(	(	PUNCT
iajs-2432	30	25	,	,	PUNCT
iajs-2432	30	26	(	(	PUNCT
iajs-2432	30	27	za	za	PROPN
iajs-2432	30	28	aa	aa	PROPN
iajs-2432	30	29			PROPN
iajs-2432	30	30			NUM
iajs-2432	30	31	is	be	AUX
iajs-2432	30	32	an	an	DET
iajs-2432	30	33	(	(	PUNCT
iajs-2432	30	34	i.	i.	NOUN
iajs-2432	30	35	f.asly	f.asly	ADV
iajs-2432	30	36	)	)	PUNCT
iajs-2432	30	37	ideal	ideal	NOUN
iajs-2432	30	38	.	.	PUNCT
iajs-2432	31	1	definition	definition	NOUN
iajs-2432	31	2	(	(	PUNCT
iajs-2432	31	3	3	3	X
iajs-2432	31	4	)	)	PUNCT
iajs-2432	31	5	let	let	AUX
iajs-2432	31	6	a=	a=	ADV
iajs-2432	31	7			PRON
iajs-2432	31	8			PROPN
iajs-2432	31	9			PROPN
iajs-2432	31	10			PROPN
iajs-2432	31	11	)	)	PUNCT
iajs-2432	31	12	)	)	PUNCT
iajs-2432	31	13	,	,	PUNCT
iajs-2432	31	14	(	(	PUNCT
iajs-2432	31	15	)	)	PUNCT
iajs-2432	31	16	,	,	PUNCT
iajs-2432	31	17	(	(	PUNCT
iajs-2432	31	18	,	,	PUNCT
iajs-2432	31	19	(	(	PUNCT
iajs-2432	31	20	b	b	NOUN
iajs-2432	31	21	,	,	PUNCT
iajs-2432	31	22	)	)	PUNCT
iajs-2432	31	23	)	)	PUNCT
iajs-2432	31	24	,	,	PUNCT
iajs-2432	31	25	(	(	PUNCT
iajs-2432	31	26	)	)	PUNCT
iajs-2432	31	27	,	,	PUNCT
iajs-2432	31	28	(	(	PUNCT
iajs-2432	31	29	,	,	PUNCT
iajs-2432	31	30	(	(	PUNCT
iajs-2432	31	31	rbbraa	rbbraa	NOUN
iajs-2432	31	32			NUM
iajs-2432	31	33			NOUN
iajs-2432	31	34	are	be	AUX
iajs-2432	31	35	any	any	DET
iajs-2432	31	36	two	two	NUM
iajs-2432	31	37	(	(	PUNCT
iajs-2432	31	38	i.	i.	NOUN
iajs-2432	31	39	f.asly	f.asly	ADV
iajs-2432	31	40	)	)	PUNCT
iajs-2432	31	41	ideals	ideal	NOUN
iajs-2432	31	42	then	then	ADV
iajs-2432	31	43	their	their	PRON
iajs-2432	31	44	product	product	NOUN
iajs-2432	31	45	is	be	AUX
iajs-2432	31	46	defined	define	VERB
iajs-2432	31	47	by	by	ADP
iajs-2432	31	48	:	:	PUNCT
iajs-2432	31	49	.	.	PUNCT
iajs-2432	31	50	,	,	PUNCT
iajs-2432	31	51	,	,	PUNCT
iajs-2432	31	52	)	)	PUNCT
iajs-2432	31	53	]	]	PUNCT
iajs-2432	31	54	,	,	PUNCT
iajs-2432	31	55	(	(	PUNCT
iajs-2432	31	56	)	)	PUNCT
iajs-2432	31	57	(	(	PUNCT
iajs-2432	31	58	[	[	NOUN
iajs-2432	31	59	)	)	PUNCT
iajs-2432	31	60	(	(	PUNCT
iajs-2432	31	61	.	.	PUNCT
iajs-2432	31	62	)	)	PUNCT
iajs-2432	32	1	(	(	PUNCT
iajs-2432	32	2	)	)	PUNCT
iajs-2432	32	3	]	]	PUNCT
iajs-2432	32	4	(	(	PUNCT
iajs-2432	32	5	)	)	PUNCT
iajs-2432	32	6	(	(	PUNCT
iajs-2432	32	7	[	[	NOUN
iajs-2432	32	8	)	)	PUNCT
iajs-2432	32	9	(	(	PUNCT
iajs-2432	32	10	.	.	PUNCT
iajs-2432	32	11	)	)	PUNCT
iajs-2432	32	12	(	(	PUNCT
iajs-2432	32	13	.	.	PUNCT
iajs-2432	32	14	.	.	PUNCT
iajs-2432	33	1	rssbaba	rssbaba	PROPN
iajs-2432	33	2	sbaba	sbaba	PROPN
iajs-2432	33	3	s	s	PROPN
iajs-2432	33	4	s	s	PROPN
iajs-2432	33	5			PROPN
iajs-2432	33	6			NOUN
iajs-2432	33	7			NUM
iajs-2432	33	8			NOUN
iajs-2432	33	9			X
iajs-2432	33	10			X
iajs-2432	33	11			X
iajs-2432	33	12			PROPN
iajs-2432	33	13			PROPN
iajs-2432	33	14			ADV
iajs-2432	33	15			PUNCT
iajs-2432	34	1			X
iajs-2432	34	2	definition	definition	NOUN
iajs-2432	34	3	(	(	PUNCT
iajs-2432	34	4	4	4	X
iajs-2432	34	5	)	)	PUNCT
iajs-2432	34	6	let	let	VERB
iajs-2432	34	7	a=	a=	ADV
iajs-2432	34	8			PRON
iajs-2432	34	9			PROPN
iajs-2432	34	10			PROPN
iajs-2432	34	11			PROPN
iajs-2432	34	12	)	)	PUNCT
iajs-2432	34	13	)	)	PUNCT
iajs-2432	34	14	,	,	PUNCT
iajs-2432	34	15	(	(	PUNCT
iajs-2432	34	16	)	)	PUNCT
iajs-2432	34	17	,	,	PUNCT
iajs-2432	34	18	(	(	PUNCT
iajs-2432	34	19	,	,	PUNCT
iajs-2432	34	20	(	(	PUNCT
iajs-2432	34	21	b	b	NOUN
iajs-2432	34	22	,	,	PUNCT
iajs-2432	34	23	)	)	PUNCT
iajs-2432	34	24	)	)	PUNCT
iajs-2432	34	25	,	,	PUNCT
iajs-2432	34	26	(	(	PUNCT
iajs-2432	34	27	)	)	PUNCT
iajs-2432	34	28	,	,	PUNCT
iajs-2432	34	29	(	(	PUNCT
iajs-2432	34	30	,	,	PUNCT
iajs-2432	34	31	(	(	PUNCT
iajs-2432	34	32	rr	rr	PROPN
iajs-2432	34	33	bbaa	bbaa	PROPN
iajs-2432	34	34			X
iajs-2432	34	35			X
iajs-2432	34	36	are	be	AUX
iajs-2432	34	37	any	any	DET
iajs-2432	34	38	(	(	PUNCT
iajs-2432	34	39	i.	i.	NOUN
iajs-2432	34	40	f.asly	f.asly	ADV
iajs-2432	34	41	)	)	PUNCT
iajs-2432	34	42	ideals	ideal	NOUN
iajs-2432	34	43	then	then	ADV
iajs-2432	34	44	their	their	PRON
iajs-2432	34	45	sum	sum	NOUN
iajs-2432	34	46	is	be	AUX
iajs-2432	34	47	defined	define	VERB
iajs-2432	34	48	by	by	ADP
iajs-2432	34	49	:	:	PUNCT
iajs-2432	34	50			PROPN
iajs-2432	34	51	.	.	NOUN
iajs-2432	34	52	)	)	PUNCT
iajs-2432	34	53	,	,	PUNCT
iajs-2432	34	54	(	(	PUNCT
iajs-2432	34	55	)	)	PUNCT
iajs-2432	34	56	(	(	PUNCT
iajs-2432	34	57	)	)	PUNCT
iajs-2432	34	58	,	,	PUNCT
iajs-2432	34	59	(	(	PUNCT
iajs-2432	34	60	)	)	PUNCT
iajs-2432	34	61	(	(	PUNCT
iajs-2432	34	62	,	,	PUNCT
iajs-2432	34	63	rba	rba	PROPN
iajs-2432	34	64	baba	baba	PROPN
iajs-2432	34	65			PROPN
iajs-2432	34	66			VERB
iajs-2432	34	67	where	where	SCONJ
iajs-2432	34	68	.	.	PUNCT
iajs-2432	34	69	,	,	PUNCT
iajs-2432	34	70	,	,	PUNCT
iajs-2432	34	71	)	)	PUNCT
iajs-2432	34	72	]	]	PUNCT
iajs-2432	34	73	,	,	PUNCT
iajs-2432	34	74	(	(	PUNCT
iajs-2432	34	75	)	)	PUNCT
iajs-2432	34	76	(	(	PUNCT
iajs-2432	34	77	[	[	NOUN
iajs-2432	34	78	)	)	PUNCT
iajs-2432	34	79	(	(	PUNCT
iajs-2432	34	80	)	)	PUNCT
iajs-2432	34	81	(	(	PUNCT
iajs-2432	34	82	)	)	PUNCT
iajs-2432	34	83	]	]	PUNCT
iajs-2432	34	84	(	(	PUNCT
iajs-2432	34	85	)	)	PUNCT
iajs-2432	34	86	(	(	PUNCT
iajs-2432	34	87	[	[	NOUN
iajs-2432	34	88	)	)	PUNCT
iajs-2432	34	89	(	(	PUNCT
iajs-2432	34	90	.	.	PUNCT
iajs-2432	34	91	)	)	PUNCT
iajs-2432	35	1	(	(	PUNCT
iajs-2432	35	2	rss	rss	PROPN
iajs-2432	35	3	s	s	PROPN
iajs-2432	35	4	ba	ba	PROPN
iajs-2432	35	5	s	s	NOUN
iajs-2432	36	1	ba	ba	PROPN
iajs-2432	36	2	ba	ba	PROPN
iajs-2432	36	3	s	s	PART
iajs-2432	36	4	ba	ba	PROPN
iajs-2432	36	5			NOUN
iajs-2432	36	6			NOUN
iajs-2432	36	7			ADJ
iajs-2432	36	8			ADJ
iajs-2432	36	9			X
iajs-2432	37	1			X
iajs-2432	37	2			X
iajs-2432	37	3			PROPN
iajs-2432	37	4			PROPN
iajs-2432	37	5			ADV
iajs-2432	37	6			PUNCT
iajs-2432	37	7			X
iajs-2432	37	8	theorem	theorem	ADJ
iajs-2432	37	9	(	(	PUNCT
iajs-2432	37	10	5	5	NUM
iajs-2432	37	11	)	)	PUNCT
iajs-2432	37	12	let	let	VERB
iajs-2432	37	13	a=	a=	ADV
iajs-2432	37	14			PRON
iajs-2432	37	15			PROPN
iajs-2432	37	16	)	)	PUNCT
iajs-2432	37	17	)	)	PUNCT
iajs-2432	37	18	,	,	PUNCT
iajs-2432	37	19	(	(	PUNCT
iajs-2432	37	20	)	)	PUNCT
iajs-2432	37	21	,	,	PUNCT
iajs-2432	37	22	(	(	PUNCT
iajs-2432	37	23	,	,	PUNCT
iajs-2432	37	24	(	(	PUNCT
iajs-2432	37	25	raa	raa	NOUN
iajs-2432	37	26			PROPN
iajs-2432	37	27			AUX
iajs-2432	37	28	be	be	AUX
iajs-2432	37	29	(	(	PUNCT
iajs-2432	37	30	i.	i.	NOUN
iajs-2432	37	31	f.asly	f.asly	ADV
iajs-2432	37	32	)	)	PUNCT
iajs-2432	37	33	ideal	ideal	NOUN
iajs-2432	37	34	of	of	ADP
iajs-2432	37	35	a	a	DET
iajs-2432	37	36	ring	ring	NOUN
iajs-2432	37	37	r	r	NOUN
iajs-2432	37	38	and	and	CCONJ
iajs-2432	37	39	let	let	VERB
iajs-2432	37	40			PRON
iajs-2432	37	41	}	}	PUNCT
iajs-2432	37	42	)	)	PUNCT
iajs-2432	37	43	)	)	PUNCT
iajs-2432	37	44	,	,	PUNCT
iajs-2432	37	45	(	(	PUNCT
iajs-2432	37	46	)	)	PUNCT
iajs-2432	37	47	,	,	PUNCT
iajs-2432	37	48	(	(	PUNCT
iajs-2432	37	49	,	,	PUNCT
iajs-2432	37	50	(	(	PUNCT
iajs-2432	37	51	*	*	PUNCT
iajs-2432	37	52	a	a	PRON
iajs-2432	37	53	*	*	X
iajs-2432	37	54	*	*	NOUN
iajs-2432	37	55	ra	ra	PROPN
iajs-2432	37	56	a	a	DET
iajs-2432	37	57			PROPN
iajs-2432	37	58			NUM
iajs-2432	37	59	be	be	AUX
iajs-2432	37	60	the	the	DET
iajs-2432	37	61	(	(	PUNCT
iajs-2432	37	62	ifs	ifs	PROPN
iajs-2432	37	63	)	)	PUNCT
iajs-2432	37	64	of	of	ADP
iajs-2432	37	65	r	r	NOUN
iajs-2432	37	66	is	be	AUX
iajs-2432	37	67	characterized	characterize	VERB
iajs-2432	37	68	by	by	ADP
iajs-2432	37	69	r	r	NOUN
iajs-2432	37	70	,	,	PUNCT
iajs-2432	37	71	1	1	NUM
iajs-2432	37	72	)	)	PUNCT
iajs-2432	37	73	0	0	NUM
iajs-2432	37	74	(	(	PUNCT
iajs-2432	37	75	)	)	PUNCT
iajs-2432	37	76	(	(	PUNCT
iajs-2432	37	77	)	)	PUNCT
iajs-2432	37	78	(	(	PUNCT
iajs-2432	37	79	,	,	PUNCT
iajs-2432	37	80	)	)	PUNCT
iajs-2432	37	81	0(1	0(1	NUM
iajs-2432	37	82	)	)	PUNCT
iajs-2432	37	83	(	(	PUNCT
iajs-2432	37	84	)	)	PUNCT
iajs-2432	37	85	(	(	PUNCT
iajs-2432	37	86	*	*	PUNCT
iajs-2432	37	87	*	*	NOUN
iajs-2432	37	88			NOUN
iajs-2432	37	89			ADJ
iajs-2432	37	90	aaaaaa	aaaaaa	NOUN
iajs-2432	37	91	then	then	ADV
iajs-2432	37	92	*	*	PUNCT
iajs-2432	37	93	a	a	PRON
iajs-2432	37	94	is	be	AUX
iajs-2432	37	95	(	(	PUNCT
iajs-2432	37	96	i.	i.	NOUN
iajs-2432	37	97	f.asly	f.asly	ADV
iajs-2432	37	98	)	)	PUNCT
iajs-2432	37	99	an	an	DET
iajs-2432	37	100	ideal	ideal	NOUN
iajs-2432	37	101	of	of	ADP
iajs-2432	37	102	r.	r.	NOUN
iajs-2432	37	103	proof	proof	NOUN
iajs-2432	37	104	for	for	ADP
iajs-2432	37	105	all	all	DET
iajs-2432	37	106	r	r	PROPN
iajs-2432	37	107	1	1	NUM
iajs-2432	37	108	)	)	PUNCT
iajs-2432	37	109	0	0	NUM
iajs-2432	37	110	(	(	PUNCT
iajs-2432	37	111	)	)	PUNCT
iajs-2432	37	112	(	(	PUNCT
iajs-2432	37	113	)	)	PUNCT
iajs-2432	37	114	(	(	PUNCT
iajs-2432	37	115	,	,	PUNCT
iajs-2432	37	116	)	)	PUNCT
iajs-2432	37	117	0(1	0(1	NUM
iajs-2432	37	118	)	)	PUNCT
iajs-2432	37	119	(	(	PUNCT
iajs-2432	37	120	)	)	PUNCT
iajs-2432	37	121	(	(	PUNCT
iajs-2432	37	122	*	*	PUNCT
iajs-2432	37	123	*	*	PUNCT
iajs-2432	37	124			NOUN
iajs-2432	37	125	aaaaaa	aaaaaa	NOUN
iajs-2432	37	126			NUM
iajs-2432	37	127	we	we	PRON
iajs-2432	37	128	have	have	VERB
iajs-2432	37	129	  	  	SPACE
iajs-2432	37	130	117	117	NUM
iajs-2432	37	131	ibn	ibn	PROPN
iajs-2432	37	132	al	al	PROPN
iajs-2432	37	133	-	-	PUNCT
iajs-2432	37	134	haitham	haitham	PROPN
iajs-2432	37	135	jour	jour	X
iajs-2432	37	136	.	.	PROPN
iajs-2432	38	1	for	for	ADP
iajs-2432	38	2	pure	pure	ADJ
iajs-2432	38	3	&	&	CCONJ
iajs-2432	38	4	appl	appl	PROPN
iajs-2432	38	5	.	.	PUNCT
iajs-2432	39	1	sci	sci	PROPN
iajs-2432	39	2	.	.	PROPN
iajs-2432	40	1	33	33	NUM
iajs-2432	40	2	(	(	PUNCT
iajs-2432	40	3	2	2	NUM
iajs-2432	40	4	)	)	PUNCT
iajs-2432	40	5	2020	2020	NUM
iajs-2432	40	6	)	)	PUNCT
iajs-2432	40	7	1	1	NUM
iajs-2432	40	8	.....	.....	PUNCT
iajs-2432	40	9	(	(	PUNCT
iajs-2432	40	10	..........	..........	PUNCT
iajs-2432	40	11	)	)	PUNCT
iajs-2432	40	12	.........	.........	PUNCT
iajs-2432	41	1	(	(	PUNCT
iajs-2432	41	2	)	)	PUNCT
iajs-2432	41	3	0(-1	0(-1	NUM
iajs-2432	41	4	)	)	PUNCT
iajs-2432	41	5	(	(	PUNCT
iajs-2432	41	6	)	)	PUNCT
iajs-2432	41	7	0(-1	0(-1	NUM
iajs-2432	41	8	)	)	PUNCT
iajs-2432	41	9	(	(	PUNCT
iajs-2432	41	10	)	)	PUNCT
iajs-2432	41	11	(	(	PUNCT
iajs-2432	41	12	*	*	PUNCT
iajs-2432	41	13	*	*	PUNCT
iajs-2432	41	14			ADV
iajs-2432	41	15			ADV
iajs-2432	41	16	aaa	aaa	VERB
iajs-2432	41	17	aaa	aaa	NOUN
iajs-2432	41	18			NOUN
iajs-2432	41	19			PROPN
iajs-2432	41	20			X
iajs-2432	41	21	)	)	PUNCT
iajs-2432	41	22	2	2	NUM
iajs-2432	41	23	.........	.........	PUNCT
iajs-2432	41	24	(	(	PUNCT
iajs-2432	41	25	..........	..........	PUNCT
iajs-2432	41	26	)}	)}	PUNCT
iajs-2432	41	27	........	........	X
iajs-2432	41	28	(),(max	(),(max	X
iajs-2432	41	29	{	{	PUNCT
iajs-2432	41	30	}	}	PUNCT
iajs-2432	41	31	)	)	PUNCT
iajs-2432	41	32	0(-1	0(-1	NUM
iajs-2432	41	33	)	)	PUNCT
iajs-2432	41	34	(	(	PUNCT
iajs-2432	41	35	,	,	PUNCT
iajs-2432	41	36	)	)	PUNCT
iajs-2432	41	37	0(-1)({max	0(-1)({max	NUM
iajs-2432	41	38	)	)	PUNCT
iajs-2432	41	39	0(-1	0(-1	NUM
iajs-2432	41	40	)	)	PUNCT
iajs-2432	41	41	}	}	PUNCT
iajs-2432	41	42	(	(	PUNCT
iajs-2432	41	43	)	)	PUNCT
iajs-2432	41	44	,	,	PUNCT
iajs-2432	41	45	(	(	PUNCT
iajs-2432	41	46	{	{	PUNCT
iajs-2432	41	47	max	max	PROPN
iajs-2432	41	48	)	)	PUNCT
iajs-2432	41	49	0(-1	0(-1	NUM
iajs-2432	41	50	)	)	PUNCT
iajs-2432	41	51	(	(	PUNCT
iajs-2432	41	52	)	)	PUNCT
iajs-2432	41	53	(	(	PUNCT
iajs-2432	41	54	*	*	PUNCT
iajs-2432	41	55	*	*	PUNCT
iajs-2432	41	56	*	*	PUNCT
iajs-2432	41	57			X
iajs-2432	41	58			X
iajs-2432	41	59			X
iajs-2432	41	60			PUNCT
iajs-2432	41	61	aa	aa	PROPN
iajs-2432	41	62	aaaa	aaaa	PROPN
iajs-2432	41	63	aaa	aaa	NOUN
iajs-2432	41	64	aaa	aaa	NOUN
iajs-2432	41	65			NOUN
iajs-2432	41	66			NOUN
iajs-2432	41	67			PROPN
iajs-2432	41	68			PROPN
iajs-2432	41	69			PUNCT
iajs-2432	41	70			NOUN
iajs-2432	41	71			NOUN
iajs-2432	41	72			ADV
iajs-2432	41	73	)	)	PUNCT
iajs-2432	41	74	3	3	X
iajs-2432	41	75	(	(	PUNCT
iajs-2432	41	76	..............................	..............................	PUNCT
iajs-2432	41	77	)	)	PUNCT
iajs-2432	41	78	}	}	PUNCT
iajs-2432	41	79	........	........	PUNCT
iajs-2432	41	80	(	(	PUNCT
iajs-2432	41	81	)	)	PUNCT
iajs-2432	41	82	1	1	NUM
iajs-2432	41	83	)	)	PUNCT
iajs-2432	41	84	0	0	NUM
iajs-2432	41	85	(	(	PUNCT
iajs-2432	41	86	)	)	PUNCT
iajs-2432	41	87	(	(	PUNCT
iajs-2432	41	88	1)0	1)0	NUM
iajs-2432	41	89	(	(	PUNCT
iajs-2432	41	90	)	)	PUNCT
iajs-2432	41	91	(	(	PUNCT
iajs-2432	41	92	)	)	PUNCT
iajs-2432	41	93	(	(	PUNCT
iajs-2432	41	94	*	*	PUNCT
iajs-2432	41	95	*	*	PUNCT
iajs-2432	41	96			X
iajs-2432	41	97			X
iajs-2432	41	98	aaa	aaa	NOUN
iajs-2432	41	99	aaa	aaa	NOUN
iajs-2432	41	100			VERB
iajs-2432	41	101			NOUN
iajs-2432	41	102			ADV
iajs-2432	41	103	)	)	PUNCT
iajs-2432	41	104	4	4	NUM
iajs-2432	41	105	(	(	PUNCT
iajs-2432	41	106	.........................	.........................	PUNCT
iajs-2432	41	107	)	)	PUNCT
iajs-2432	41	108	}	}	PUNCT
iajs-2432	41	109	........	........	PUNCT
iajs-2432	41	110	(	(	PUNCT
iajs-2432	41	111	)	)	PUNCT
iajs-2432	41	112	,	,	PUNCT
iajs-2432	41	113	(	(	PUNCT
iajs-2432	41	114	min	min	NOUN
iajs-2432	41	115	{	{	PUNCT
iajs-2432	41	116	}	}	PUNCT
iajs-2432	41	117	1)0	1)0	PROPN
iajs-2432	41	118	(	(	PUNCT
iajs-2432	41	119	)	)	PUNCT
iajs-2432	41	120	(	(	PUNCT
iajs-2432	41	121	,	,	PUNCT
iajs-2432	41	122	1)0()(min	1)0()(min	NUM
iajs-2432	41	123	{	{	PUNCT
iajs-2432	41	124	1	1	NUM
iajs-2432	41	125	)	)	PUNCT
iajs-2432	41	126	0	0	NUM
iajs-2432	41	127	(	(	PUNCT
iajs-2432	41	128	)	)	PUNCT
iajs-2432	41	129	}	}	PUNCT
iajs-2432	41	130	(	(	PUNCT
iajs-2432	41	131	)	)	PUNCT
iajs-2432	41	132	,	,	PUNCT
iajs-2432	41	133	(	(	PUNCT
iajs-2432	41	134	{	{	PUNCT
iajs-2432	41	135	min	min	NOUN
iajs-2432	41	136	1	1	NUM
iajs-2432	41	137	)	)	PUNCT
iajs-2432	41	138	0	0	NUM
iajs-2432	41	139	(	(	PUNCT
iajs-2432	41	140	)	)	PUNCT
iajs-2432	41	141	(	(	PUNCT
iajs-2432	41	142	)	)	PUNCT
iajs-2432	41	143	(	(	PUNCT
iajs-2432	41	144	*	*	PUNCT
iajs-2432	41	145	*	*	PUNCT
iajs-2432	41	146	*	*	PUNCT
iajs-2432	41	147			X
iajs-2432	41	148			X
iajs-2432	41	149			X
iajs-2432	41	150			PUNCT
iajs-2432	41	151	aa	aa	PROPN
iajs-2432	41	152	aaaa	aaaa	PROPN
iajs-2432	41	153	aaa	aaa	NOUN
iajs-2432	41	154	aaa	aaa	NOUN
iajs-2432	41	155			NOUN
iajs-2432	41	156			NOUN
iajs-2432	41	157			NOUN
iajs-2432	41	158			PROPN
iajs-2432	41	159			PUNCT
iajs-2432	41	160			X
iajs-2432	41	161			NOUN
iajs-2432	41	162			ADV
iajs-2432	41	163	in	in	ADP
iajs-2432	41	164	forms	form	NOUN
iajs-2432	41	165	(	(	PUNCT
iajs-2432	41	166	1),(2),(3	1),(2),(3	NUM
iajs-2432	41	167	)	)	PUNCT
iajs-2432	41	168	and	and	CCONJ
iajs-2432	41	169	(	(	PUNCT
iajs-2432	41	170	4	4	NUM
iajs-2432	41	171	)	)	PUNCT
iajs-2432	41	172	,	,	PUNCT
iajs-2432	41	173	we	we	PRON
iajs-2432	41	174	have	have	VERB
iajs-2432	41	175	*	*	NOUN
iajs-2432	41	176	a	a	PRON
iajs-2432	41	177	is	be	AUX
iajs-2432	41	178	(	(	PUNCT
iajs-2432	41	179	i.	i.	NOUN
iajs-2432	41	180	f.asly	f.asly	ADV
iajs-2432	41	181	)	)	PUNCT
iajs-2432	41	182	ideal	ideal	NOUN
iajs-2432	41	183	of	of	ADP
iajs-2432	41	184	r	r	NOUN
iajs-2432	41	185	theorem	theorem	NOUN
iajs-2432	41	186	(	(	PUNCT
iajs-2432	41	187	6	6	NUM
iajs-2432	41	188	)	)	PUNCT
iajs-2432	41	189	let	let	VERB
iajs-2432	41	190	a	a	DET
iajs-2432	41	191	be	be	AUX
iajs-2432	41	192	(	(	PUNCT
iajs-2432	41	193	i.	i.	NOUN
iajs-2432	41	194	f.asly	f.asly	ADV
iajs-2432	41	195	)	)	PUNCT
iajs-2432	41	196	ideal	ideal	NOUN
iajs-2432	41	197	of	of	ADP
iajs-2432	41	198	r	r	NOUN
iajs-2432	41	199	and	and	CCONJ
iajs-2432	41	200	let	let	VERB
iajs-2432	41	201	]	]	PUNCT
iajs-2432	41	202	1,0[)]0(,0	1,0[)]0(,0	X
iajs-2432	41	203	[:	[:	X
iajs-2432	41	204	,	,	PUNCT
iajs-2432	41	205	]	]	X
iajs-2432	41	206	1,0[)]0(,0	1,0[)]0(,0	X
iajs-2432	41	207	[:	[:	X
iajs-2432	41	208			NUM
iajs-2432	41	209	aa	aa	NOUN
iajs-2432	41	210			NOUN
iajs-2432	41	211	be	be	AUX
iajs-2432	41	212	increasing	increase	VERB
iajs-2432	41	213	functions	function	NOUN
iajs-2432	41	214	,	,	PUNCT
iajs-2432	41	215	then	then	ADV
iajs-2432	41	216	(	(	PUNCT
iajs-2432	41	217	ifs	ifs	PROPN
iajs-2432	41	218	)	)	PUNCT
iajs-2432	41	219			PROPN
iajs-2432	41	220			PROPN
iajs-2432	41	221	)	)	PUNCT
iajs-2432	41	222	)	)	PUNCT
iajs-2432	41	223	,	,	PUNCT
iajs-2432	41	224	(	(	PUNCT
iajs-2432	41	225	)	)	PUNCT
iajs-2432	41	226	,	,	PUNCT
iajs-2432	41	227	(	(	PUNCT
iajs-2432	41	228	,	,	PUNCT
iajs-2432	41	229	(	(	PUNCT
iajs-2432	41	230	ra	ra	NOUN
iajs-2432	41	231	aa	aa	PROPN
iajs-2432	41	232			PROPN
iajs-2432	42	1			NOUN
iajs-2432	42	2			X
iajs-2432	42	3	means	mean	NOUN
iajs-2432	42	4	by	by	ADP
iajs-2432	42	5	)	)	PUNCT
iajs-2432	42	6	)	)	PUNCT
iajs-2432	43	1	(	(	PUNCT
iajs-2432	43	2	(	(	PUNCT
iajs-2432	43	3	)	)	PUNCT
iajs-2432	43	4	(	(	PUNCT
iajs-2432	43	5	)	)	PUNCT
iajs-2432	43	6	)	)	PUNCT
iajs-2432	43	7	,	,	PUNCT
iajs-2432	43	8	(	(	PUNCT
iajs-2432	43	9	(	(	PUNCT
iajs-2432	43	10	)	)	PUNCT
iajs-2432	43	11	(	(	PUNCT
iajs-2432	43	12	aaaa	aaaa	NOUN
iajs-2432	43	13			NUM
iajs-2432	43	14			NOUN
iajs-2432	44	1			INTJ
iajs-2432	44	2			INTJ
iajs-2432	44	3	is	be	AUX
iajs-2432	44	4	(	(	PUNCT
iajs-2432	44	5	i.	i.	NOUN
iajs-2432	44	6	f.asly	f.asly	ADV
iajs-2432	44	7	)	)	PUNCT
iajs-2432	44	8	ideal	ideal	NOUN
iajs-2432	44	9	of	of	ADP
iajs-2432	44	10	r.	r.	PROPN
iajs-2432	44	11	proof	proof	PROPN
iajs-2432	44	12	r	r	NOUN
iajs-2432	44	13			PROPN
iajs-2432	44	14	,	,	PUNCT
iajs-2432	44	15			NOUN
iajs-2432	44	16	.(1	.(1	NUM
iajs-2432	44	17	)	)	PUNCT
iajs-2432	44	18	....................	....................	PUNCT
iajs-2432	44	19	)	)	PUNCT
iajs-2432	44	20	.....	.....	PUNCT
iajs-2432	45	1	(	(	PUNCT
iajs-2432	45	2	)	)	PUNCT
iajs-2432	45	3	(	(	PUNCT
iajs-2432	45	4	)	)	PUNCT
iajs-2432	45	5	)	)	PUNCT
iajs-2432	45	6	(	(	PUNCT
iajs-2432	45	7	(	(	PUNCT
iajs-2432	45	8	)	)	PUNCT
iajs-2432	45	9	(	(	PUNCT
iajs-2432	45	10			ADV
iajs-2432	45	11			ADV
iajs-2432	45	12			INTJ
iajs-2432	46	1			X
iajs-2432	46	2			X
iajs-2432	47	1			PUNCT
iajs-2432	47	2	aa	aa	INTJ
iajs-2432	47	3	aa	aa	VERB
iajs-2432	47	4			PROPN
iajs-2432	47	5			PROPN
iajs-2432	47	6	)	)	PUNCT
iajs-2432	47	7	..	..	PUNCT
iajs-2432	47	8	(	(	PUNCT
iajs-2432	47	9	....................	....................	PUNCT
iajs-2432	47	10	)	)	PUNCT
iajs-2432	47	11	}	}	PUNCT
iajs-2432	47	12	.......	.......	PUNCT
iajs-2432	47	13	(	(	PUNCT
iajs-2432	47	14	)	)	PUNCT
iajs-2432	47	15	,	,	PUNCT
iajs-2432	47	16	(	(	PUNCT
iajs-2432	47	17	{	{	PUNCT
iajs-2432	47	18	)	)	PUNCT
iajs-2432	47	19	)	)	PUNCT
iajs-2432	47	20	}	}	PUNCT
iajs-2432	47	21	(	(	PUNCT
iajs-2432	47	22	(	(	PUNCT
iajs-2432	47	23	)	)	PUNCT
iajs-2432	47	24	)	)	PUNCT
iajs-2432	47	25	,	,	PUNCT
iajs-2432	47	26	(	(	PUNCT
iajs-2432	47	27	(	(	PUNCT
iajs-2432	47	28	{	{	PUNCT
iajs-2432	47	29	)	)	PUNCT
iajs-2432	47	30	)	)	PUNCT
iajs-2432	47	31	(	(	PUNCT
iajs-2432	47	32	(	(	PUNCT
iajs-2432	47	33	)	)	PUNCT
iajs-2432	47	34	(	(	PUNCT
iajs-2432	47	35	aa	aa	NOUN
iajs-2432	47	36	aa	aa	INTJ
iajs-2432	47	37	aa	aa	PROPN
iajs-2432	47	38	2max	2max	NUM
iajs-2432	47	39	max	max	PROPN
iajs-2432	47	40			X
iajs-2432	47	41			NOUN
iajs-2432	48	1			PUNCT
iajs-2432	48	2			INTJ
iajs-2432	48	3			NOUN
iajs-2432	49	1			NOUN
iajs-2432	49	2			VERB
iajs-2432	50	1			NUM
iajs-2432	50	2			NOUN
iajs-2432	50	3			X
iajs-2432	50	4			ADV
iajs-2432	50	5	3	3	NUM
iajs-2432	50	6	)	)	PUNCT
iajs-2432	50	7	.........	.........	PUNCT
iajs-2432	50	8	(	(	PUNCT
iajs-2432	50	9	....................	....................	PUNCT
iajs-2432	50	10	)	)	PUNCT
iajs-2432	50	11	}	}	PUNCT
iajs-2432	50	12	(	(	PUNCT
iajs-2432	50	13	)	)	PUNCT
iajs-2432	50	14	(	(	PUNCT
iajs-2432	50	15	)	)	PUNCT
iajs-2432	50	16	)	)	PUNCT
iajs-2432	50	17	(	(	PUNCT
iajs-2432	50	18	(	(	PUNCT
iajs-2432	50	19	)	)	PUNCT
iajs-2432	50	20	(	(	PUNCT
iajs-2432	50	21			X
iajs-2432	51	1			PUNCT
iajs-2432	51	2			X
iajs-2432	52	1			X
iajs-2432	52	2	aa	aa	INTJ
iajs-2432	52	3	aa	aa	PROPN
iajs-2432	52	4			PROPN
iajs-2432	52	5			NUM
iajs-2432	52	6			ADV
iajs-2432	52	7	4	4	NUM
iajs-2432	52	8	)	)	PUNCT
iajs-2432	52	9	.........	.........	PUNCT
iajs-2432	52	10	(	(	PUNCT
iajs-2432	52	11	....................	....................	PUNCT
iajs-2432	52	12	)	)	PUNCT
iajs-2432	52	13	}	}	PUNCT
iajs-2432	52	14	(	(	PUNCT
iajs-2432	52	15	)	)	PUNCT
iajs-2432	52	16	,	,	PUNCT
iajs-2432	52	17	(	(	PUNCT
iajs-2432	52	18	{	{	PUNCT
iajs-2432	52	19	min	min	NOUN
iajs-2432	52	20	)	)	PUNCT
iajs-2432	52	21	)	)	PUNCT
iajs-2432	52	22	}	}	PUNCT
iajs-2432	52	23	(	(	PUNCT
iajs-2432	52	24	(	(	PUNCT
iajs-2432	52	25	)	)	PUNCT
iajs-2432	52	26	)	)	PUNCT
iajs-2432	52	27	,	,	PUNCT
iajs-2432	52	28	(	(	PUNCT
iajs-2432	52	29	(	(	PUNCT
iajs-2432	52	30	{	{	PUNCT
iajs-2432	52	31	min	min	NOUN
iajs-2432	52	32	)	)	PUNCT
iajs-2432	52	33	)	)	PUNCT
iajs-2432	52	34	(	(	PUNCT
iajs-2432	52	35	(	(	PUNCT
iajs-2432	52	36	)	)	PUNCT
iajs-2432	52	37	(	(	PUNCT
iajs-2432	52	38			X
iajs-2432	52	39			NOUN
iajs-2432	53	1			PUNCT
iajs-2432	53	2			INTJ
iajs-2432	53	3			INTJ
iajs-2432	53	4	aa	aa	INTJ
iajs-2432	53	5	aa	aa	INTJ
iajs-2432	53	6	aa	aa	PROPN
iajs-2432	53	7			PROPN
iajs-2432	53	8			PROPN
iajs-2432	53	9			PROPN
iajs-2432	53	10			NOUN
iajs-2432	53	11			NOUN
iajs-2432	53	12			ADV
iajs-2432	53	13	in	in	ADP
iajs-2432	53	14	forms	form	NOUN
iajs-2432	53	15	(	(	PUNCT
iajs-2432	53	16	1),(2),(3	1),(2),(3	NUM
iajs-2432	53	17	)	)	PUNCT
iajs-2432	53	18	and	and	CCONJ
iajs-2432	53	19	(	(	PUNCT
iajs-2432	53	20	4	4	NUM
iajs-2432	53	21	)	)	PUNCT
iajs-2432	53	22	,	,	PUNCT
iajs-2432	53	23	we	we	PRON
iajs-2432	53	24	get	get	VERB
iajs-2432	53	25	fa	fa	INTJ
iajs-2432	53	26	an	an	DET
iajs-2432	53	27	(	(	PUNCT
iajs-2432	53	28	i.	i.	NOUN
iajs-2432	53	29	f.asly	f.asly	ADV
iajs-2432	53	30	)	)	PUNCT
iajs-2432	53	31	ideal	ideal	NOUN
iajs-2432	53	32	of	of	ADP
iajs-2432	53	33	r	r	NOUN
iajs-2432	53	34	.	.	PUNCT
iajs-2432	54	1	theorem	theorem	NOUN
iajs-2432	54	2	(	(	PUNCT
iajs-2432	54	3	7	7	NUM
iajs-2432	54	4	)	)	PUNCT
iajs-2432	54	5	if	if	SCONJ
iajs-2432	54	6	}	}	PUNCT
iajs-2432	54	7	{	{	PUNCT
iajs-2432	54	8	jbj	jbj	NUM
iajs-2432	54	9	is	be	AUX
iajs-2432	54	10	a	a	DET
iajs-2432	54	11	family	family	NOUN
iajs-2432	54	12	of	of	ADP
iajs-2432	54	13	(	(	PUNCT
iajs-2432	54	14	i.	i.	NOUN
iajs-2432	54	15	f.asly	f.asly	ADV
iajs-2432	54	16	)	)	PUNCT
iajs-2432	54	17	ideals	ideal	NOUN
iajs-2432	54	18	of	of	ADP
iajs-2432	54	19	r	r	NOUN
iajs-2432	54	20	,	,	PUNCT
iajs-2432	54	21	then	then	ADV
iajs-2432	54	22			PROPN
iajs-2432	54	23	jj	jj	PROPN
iajs-2432	54	24	jb	jb	PROPN
iajs-2432	54	25	is	be	AUX
iajs-2432	54	26	(	(	PUNCT
iajs-2432	54	27	i.	i.	NOUN
iajs-2432	54	28	f.asly	f.asly	ADV
iajs-2432	54	29	)	)	PUNCT
iajs-2432	54	30	ideal	ideal	NOUN
iajs-2432	54	31	of	of	ADP
iajs-2432	54	32	r.	r.	PROPN
iajs-2432	54	33	  	  	SPACE
iajs-2432	54	34	118	118	NUM
iajs-2432	54	35	ibn	ibn	PROPN
iajs-2432	54	36	al	al	PROPN
iajs-2432	54	37	-	-	PUNCT
iajs-2432	54	38	haitham	haitham	PROPN
iajs-2432	54	39	jour	jour	X
iajs-2432	54	40	.	.	PROPN
iajs-2432	55	1	for	for	ADP
iajs-2432	55	2	pure	pure	ADJ
iajs-2432	55	3	&	&	CCONJ
iajs-2432	55	4	appl	appl	PROPN
iajs-2432	55	5	.	.	PUNCT
iajs-2432	56	1	sci	sci	PROPN
iajs-2432	56	2	.	.	PROPN
iajs-2432	57	1	33	33	NUM
iajs-2432	57	2	(	(	PUNCT
iajs-2432	57	3	2	2	NUM
iajs-2432	57	4	)	)	PUNCT
iajs-2432	57	5	2020	2020	NUM
iajs-2432	57	6	proof	proof	NOUN
iajs-2432	57	7	let	let	VERB
iajs-2432	57	8	}	}	PUNCT
iajs-2432	57	9	{	{	PUNCT
iajs-2432	57	10	jbj	jbj	NUM
iajs-2432	57	11	be	be	AUX
iajs-2432	57	12	a	a	DET
iajs-2432	57	13	family	family	NOUN
iajs-2432	57	14	of	of	ADP
iajs-2432	57	15	(	(	PUNCT
iajs-2432	57	16	i.	i.	NOUN
iajs-2432	57	17	f.asly	f.asly	ADV
iajs-2432	57	18	)	)	PUNCT
iajs-2432	57	19	ideals	ideal	NOUN
iajs-2432	57	20	of	of	ADP
iajs-2432	57	21	r	r	NOUN
iajs-2432	57	22	,	,	PUNCT
iajs-2432	57	23	for	for	ADP
iajs-2432	57	24	all	all	DET
iajs-2432	57	25	r	r	NOUN
iajs-2432	57	26	,	,	PUNCT
iajs-2432	57	27			NOUN
iajs-2432	57	28	.	.	PUNCT
iajs-2432	58	1	we	we	PRON
iajs-2432	58	2	have	have	VERB
iajs-2432	58	3			VERB
iajs-2432	58	4	j	j	NOUN
iajs-2432	58	5	jb	jb	PUNCT
iajs-2432	59	1	=	=	SYM
iajs-2432	59	2			PROPN
iajs-2432	59	3			PROPN
iajs-2432	59	4	)	)	PUNCT
iajs-2432	59	5	)	)	PUNCT
iajs-2432	59	6	,	,	PUNCT
iajs-2432	59	7	(	(	PUNCT
iajs-2432	59	8	)	)	PUNCT
iajs-2432	59	9	,	,	PUNCT
iajs-2432	59	10	(	(	PUNCT
iajs-2432	59	11	,	,	PUNCT
iajs-2432	59	12	(	(	PUNCT
iajs-2432	59	13	r	r	NOUN
iajs-2432	59	14	jbjb	jbjb	NOUN
iajs-2432	59	15	jj	jj	PROPN
iajs-2432	59	16			PROPN
iajs-2432	59	17			PROPN
iajs-2432	59	18			ADP
iajs-2432	59	19			NUM
iajs-2432	59	20			NOUN
iajs-2432	59	21	)	)	PUNCT
iajs-2432	59	22	........	........	PUNCT
iajs-2432	60	1	(	(	PUNCT
iajs-2432	60	2	1	1	NUM
iajs-2432	60	3	....................	....................	PUNCT
iajs-2432	60	4	)	)	PUNCT
iajs-2432	60	5	(	(	PUNCT
iajs-2432	60	6	)	)	PUNCT
iajs-2432	60	7	(	(	PUNCT
iajs-2432	60	8	}	}	PUNCT
iajs-2432	60	9	)	)	PUNCT
iajs-2432	60	10	(	(	PUNCT
iajs-2432	60	11	{	{	PUNCT
iajs-2432	60	12	)	)	PUNCT
iajs-2432	60	13	(	(	PUNCT
iajs-2432	60	14	inf	inf	PROPN
iajs-2432	60	15	inf	inf	NOUN
iajs-2432	60	16			ADV
iajs-2432	60	17			ADV
iajs-2432	61	1			PROPN
iajs-2432	61	2			NUM
iajs-2432	61	3			NUM
iajs-2432	61	4			ADP
iajs-2432	61	5			NOUN
iajs-2432	61	6			PROPN
iajs-2432	61	7			NOUN
iajs-2432	61	8			NOUN
iajs-2432	61	9			ADP
iajs-2432	62	1	j	j	PROPN
iajs-2432	62	2	bb	bb	NUM
iajs-2432	62	3	j	j	PROPN
iajs-2432	62	4	b	b	PROPN
iajs-2432	62	5	jj	jj	PROPN
iajs-2432	62	6	b	b	PROPN
iajs-2432	62	7	jj	jj	PROPN
iajs-2432	62	8	jj	jj	PROPN
iajs-2432	62	9	.(2)	.(2)	PROPN
iajs-2432	62	10	....................	....................	PROPN
iajs-2432	62	11	}	}	PUNCT
iajs-2432	62	12	.........	.........	PUNCT
iajs-2432	62	13	)(),({max	)(),({max	PUNCT
iajs-2432	62	14	)	)	PUNCT
iajs-2432	62	15	}	}	PUNCT
iajs-2432	62	16	(	(	PUNCT
iajs-2432	62	17	)	)	PUNCT
iajs-2432	62	18	,	,	PUNCT
iajs-2432	62	19	(	(	PUNCT
iajs-2432	62	20	{	{	PUNCT
iajs-2432	62	21	max	max	PROPN
iajs-2432	62	22	}	}	PUNCT
iajs-2432	62	23	)	)	PUNCT
iajs-2432	62	24	)	)	PUNCT
iajs-2432	62	25	(	(	PUNCT
iajs-2432	62	26	)	)	PUNCT
iajs-2432	62	27	,	,	PUNCT
iajs-2432	62	28	(	(	PUNCT
iajs-2432	62	29	{	{	PUNCT
iajs-2432	62	30	(	(	PUNCT
iajs-2432	62	31	max	max	PROPN
iajs-2432	62	32	)	)	PUNCT
iajs-2432	62	33	(	(	PUNCT
iajs-2432	62	34	supsup	supsup	PROPN
iajs-2432	62	35	sup	sup	NOUN
iajs-2432	62	36			X
iajs-2432	62	37			X
iajs-2432	62	38			PUNCT
iajs-2432	62	39			NOUN
iajs-2432	62	40			NOUN
iajs-2432	62	41			NOUN
iajs-2432	62	42			ADP
iajs-2432	62	43			X
iajs-2432	62	44			NUM
iajs-2432	62	45			X
iajs-2432	62	46			SYM
iajs-2432	62	47			NOUN
iajs-2432	62	48			PROPN
iajs-2432	62	49			PROPN
iajs-2432	62	50	j	j	PROPN
iajs-2432	62	51	b	b	PROPN
iajs-2432	62	52	j	j	PROPN
iajs-2432	62	53	b	b	PROPN
iajs-2432	62	54	b	b	PROPN
iajs-2432	62	55	j	j	PROPN
iajs-2432	62	56	b	b	PROPN
iajs-2432	63	1	j	j	PROPN
iajs-2432	63	2	bb	bb	INTJ
iajs-2432	63	3	jj	jj	PROPN
iajs-2432	63	4	b	b	PROPN
iajs-2432	63	5	jj	jj	PROPN
iajs-2432	63	6	jj	jj	PROPN
iajs-2432	63	7	jjj	jjj	PROPN
iajs-2432	63	8			PROPN
iajs-2432	63	9			X
iajs-2432	63	10			ADV
iajs-2432	63	11	)	)	PUNCT
iajs-2432	63	12	........	........	PUNCT
iajs-2432	63	13	(	(	PUNCT
iajs-2432	63	14	3	3	NUM
iajs-2432	63	15	....................	....................	PUNCT
iajs-2432	63	16	)	)	PUNCT
iajs-2432	63	17	(	(	PUNCT
iajs-2432	63	18	)	)	PUNCT
iajs-2432	63	19	(	(	PUNCT
iajs-2432	63	20	)	)	PUNCT
iajs-2432	63	21	(	(	PUNCT
iajs-2432	63	22	inf	inf	NOUN
iajs-2432	64	1			PROPN
iajs-2432	64	2			PROPN
iajs-2432	64	3			PROPN
iajs-2432	64	4			NUM
iajs-2432	64	5			PROPN
iajs-2432	64	6	j	j	PROPN
iajs-2432	64	7	bb	bb	INTJ
iajs-2432	64	8	jj	jj	PROPN
iajs-2432	64	9	b	b	PROPN
iajs-2432	64	10	jjj	jjj	PROPN
iajs-2432	64	11			PROPN
iajs-2432	64	12	.(4)	.(4)	PROPN
iajs-2432	64	13	....................	....................	PUNCT
iajs-2432	64	14	}	}	PUNCT
iajs-2432	64	15	.........	.........	PUNCT
iajs-2432	64	16	)(),({min	)(),({min	PUNCT
iajs-2432	64	17	)	)	PUNCT
iajs-2432	64	18	}	}	PUNCT
iajs-2432	64	19	(	(	PUNCT
iajs-2432	64	20	)	)	PUNCT
iajs-2432	64	21	,	,	PUNCT
iajs-2432	64	22	(	(	PUNCT
iajs-2432	64	23	{	{	PUNCT
iajs-2432	64	24	min	min	NOUN
iajs-2432	64	25	}	}	PUNCT
iajs-2432	64	26	)	)	PUNCT
iajs-2432	64	27	)	)	PUNCT
iajs-2432	64	28	(	(	PUNCT
iajs-2432	64	29	)	)	PUNCT
iajs-2432	64	30	,	,	PUNCT
iajs-2432	64	31	(	(	PUNCT
iajs-2432	64	32	{	{	PUNCT
iajs-2432	64	33	(	(	PUNCT
iajs-2432	64	34	min	min	NOUN
iajs-2432	64	35	)	)	PUNCT
iajs-2432	64	36	(	(	PUNCT
iajs-2432	64	37	infinf	infinf	PROPN
iajs-2432	64	38	inf	inf	PROPN
iajs-2432	64	39			X
iajs-2432	64	40			X
iajs-2432	64	41			PUNCT
iajs-2432	64	42			NOUN
iajs-2432	64	43			NOUN
iajs-2432	64	44			NOUN
iajs-2432	64	45			ADP
iajs-2432	64	46			X
iajs-2432	64	47			NUM
iajs-2432	64	48			X
iajs-2432	64	49			PUNCT
iajs-2432	64	50			PROPN
iajs-2432	64	51			PROPN
iajs-2432	64	52			PUNCT
iajs-2432	64	53	j	j	PROPN
iajs-2432	64	54	b	b	PROPN
iajs-2432	64	55	j	j	PROPN
iajs-2432	64	56	b	b	PROPN
iajs-2432	64	57	b	b	PROPN
iajs-2432	64	58	j	j	PROPN
iajs-2432	64	59	b	b	PROPN
iajs-2432	65	1	j	j	PROPN
iajs-2432	65	2	bb	bb	INTJ
iajs-2432	65	3	jj	jj	PROPN
iajs-2432	65	4	b	b	PROPN
iajs-2432	65	5	jj	jj	PROPN
iajs-2432	65	6	jj	jj	PROPN
iajs-2432	65	7	jjj	jjj	PROPN
iajs-2432	65	8			PROPN
iajs-2432	65	9			X
iajs-2432	65	10			ADV
iajs-2432	65	11	in	in	ADP
iajs-2432	65	12	forms	form	NOUN
iajs-2432	65	13	(	(	PUNCT
iajs-2432	65	14	1),(2),(3	1),(2),(3	NUM
iajs-2432	65	15	)	)	PUNCT
iajs-2432	65	16	and	and	CCONJ
iajs-2432	65	17	(	(	PUNCT
iajs-2432	65	18	4	4	X
iajs-2432	65	19	)	)	PUNCT
iajs-2432	65	20			VERB
iajs-2432	65	21	j	j	NOUN
iajs-2432	65	22	jb	jb	PUNCT
iajs-2432	66	1	=	=	SYM
iajs-2432	66	2			PROPN
iajs-2432	66	3			PROPN
iajs-2432	66	4	)	)	PUNCT
iajs-2432	66	5	,	,	PUNCT
iajs-2432	66	6	(	(	PUNCT
iajs-2432	66	7	)	)	PUNCT
iajs-2432	66	8	,	,	PUNCT
iajs-2432	66	9	(	(	PUNCT
iajs-2432	66	10	,	,	PUNCT
iajs-2432	66	11	rjb	rjb	PROPN
iajs-2432	66	12	jj	jj	PROPN
iajs-2432	66	13	jb	jb	PROPN
iajs-2432	66	14			PROPN
iajs-2432	67	1			PROPN
iajs-2432	67	2			X
iajs-2432	67	3			NUM
iajs-2432	67	4			NOUN
iajs-2432	67	5	is	be	AUX
iajs-2432	67	6	(	(	PUNCT
iajs-2432	67	7	i.	i.	NOUN
iajs-2432	67	8	f.asly	f.asly	ADV
iajs-2432	67	9	)	)	PUNCT
iajs-2432	67	10	ideal	ideal	NOUN
iajs-2432	67	11	of	of	ADP
iajs-2432	67	12	r.	r.	PROPN
iajs-2432	67	13	theorem	theorem	PROPN
iajs-2432	67	14	(	(	PUNCT
iajs-2432	67	15	8)	8)	NUM
iajs-2432	67	16	let	let	VERB
iajs-2432	67	17	a=	a=	PROPN
iajs-2432	67	18			PROPN
iajs-2432	67	19	)	)	PUNCT
iajs-2432	67	20	)	)	PUNCT
iajs-2432	67	21	,	,	PUNCT
iajs-2432	67	22	(	(	PUNCT
iajs-2432	67	23	)	)	PUNCT
iajs-2432	67	24	,	,	PUNCT
iajs-2432	67	25	(	(	PUNCT
iajs-2432	67	26	,	,	PUNCT
iajs-2432	67	27	(	(	PUNCT
iajs-2432	67	28	raa	raa	NOUN
iajs-2432	67	29			PROPN
iajs-2432	67	30			AUX
iajs-2432	67	31	be	be	VERB
iajs-2432	67	32	a	a	DET
iajs-2432	67	33	(	(	PUNCT
iajs-2432	67	34	i.	i.	NOUN
iajs-2432	67	35	f.asly	f.asly	ADV
iajs-2432	67	36	)	)	PUNCT
iajs-2432	67	37	ideal	ideal	NOUN
iajs-2432	67	38	of	of	ADP
iajs-2432	67	39	r	r	NOUN
iajs-2432	67	40	,	,	PUNCT
iajs-2432	67	41	then	then	ADV
iajs-2432	67	42	1	1	NUM
iajs-2432	67	43	.	.	PUNCT
iajs-2432	67	44	one	one	NUM
iajs-2432	67	45	of	of	ADP
iajs-2432	67	46	)	)	PUNCT
iajs-2432	67	47	.	.	PUNCT
iajs-2432	68	1	(	(	PUNCT
iajs-2432	68	2	)	)	PUNCT
iajs-2432	68	3	,	,	PUNCT
iajs-2432	68	4	(	(	PUNCT
iajs-2432	68	5	)	)	PUNCT
iajs-2432	68	6	,	,	PUNCT
iajs-2432	68	7	(	(	PUNCT
iajs-2432	68	8			X
iajs-2432	68	9			ADV
iajs-2432	68	10	aaa	aaa	VERB
iajs-2432	68	11			NOUN
iajs-2432	68	12	at	at	ADV
iajs-2432	68	13	least	least	ADJ
iajs-2432	68	14	two	two	NUM
iajs-2432	68	15	are	be	AUX
iajs-2432	68	16	equal	equal	ADJ
iajs-2432	68	17	.	.	PUNCT
iajs-2432	69	1	2	2	X
iajs-2432	69	2	.	.	X
iajs-2432	69	3	one	one	NUM
iajs-2432	69	4	of	of	ADP
iajs-2432	69	5	)	)	PUNCT
iajs-2432	69	6	.	.	PUNCT
iajs-2432	70	1	(	(	PUNCT
iajs-2432	70	2	)	)	PUNCT
iajs-2432	70	3	,	,	PUNCT
iajs-2432	70	4	(	(	PUNCT
iajs-2432	70	5	)	)	PUNCT
iajs-2432	70	6	,	,	PUNCT
iajs-2432	70	7	(	(	PUNCT
iajs-2432	70	8			X
iajs-2432	70	9			ADV
iajs-2432	70	10	aaa	aaa	VERB
iajs-2432	70	11			PROPN
iajs-2432	70	12	at	at	ADV
iajs-2432	70	13	least	least	ADV
iajs-2432	70	14	two	two	NUM
iajs-2432	70	15	are	be	AUX
iajs-2432	70	16	equal	equal	ADJ
iajs-2432	70	17	.	.	PUNCT
iajs-2432	71	1	proof	proof	NOUN
iajs-2432	71	2	1	1	NUM
iajs-2432	71	3	if	if	SCONJ
iajs-2432	71	4	,	,	PUNCT
iajs-2432	71	5	)	)	PUNCT
iajs-2432	71	6	(	(	PUNCT
iajs-2432	71	7	)	)	PUNCT
iajs-2432	71	8	(	(	PUNCT
iajs-2432	71	9	aa	aa	X
iajs-2432	71	10			PRON
iajs-2432	71	11			PUNCT
iajs-2432	72	1	so	so	ADV
iajs-2432	72	2	we	we	PRON
iajs-2432	72	3	have	have	VERB
iajs-2432	72	4	two	two	NUM
iajs-2432	72	5	cases	case	NOUN
iajs-2432	72	6	:	:	PUNCT
iajs-2432	72	7	case	case	NOUN
iajs-2432	72	8	1	1	NUM
iajs-2432	72	9	:	:	PUNCT
iajs-2432	72	10	if	if	SCONJ
iajs-2432	72	11	)	)	PUNCT
iajs-2432	72	12	(	(	PUNCT
iajs-2432	72	13	)	)	PUNCT
iajs-2432	72	14	(	(	PUNCT
iajs-2432	72	15	aa	aa	PUNCT
iajs-2432	72	16			VERB
iajs-2432	72	17			PROPN
iajs-2432	72	18	)	)	PUNCT
iajs-2432	72	19	}	}	PUNCT
iajs-2432	72	20	(	(	PUNCT
iajs-2432	72	21	)	)	PUNCT
iajs-2432	72	22	,	,	PUNCT
iajs-2432	72	23	(	(	PUNCT
iajs-2432	72	24	max	max	PROPN
iajs-2432	72	25	{	{	PUNCT
iajs-2432	72	26	)	)	PUNCT
iajs-2432	72	27	.	.	PUNCT
iajs-2432	73	1	(	(	PUNCT
iajs-2432	73	2			X
iajs-2432	73	3	aaa	aaa	PROPN
iajs-2432	73	4			NOUN
iajs-2432	73	5			ADV
iajs-2432	73	6	then	then	ADV
iajs-2432	73	7	)	)	PUNCT
iajs-2432	73	8	.	.	PUNCT
iajs-2432	74	1	(	(	PUNCT
iajs-2432	74	2	)	)	PUNCT
iajs-2432	74	3	.	.	PUNCT
iajs-2432	75	1	(	(	PUNCT
iajs-2432	75	2			PUNCT
iajs-2432	75	3	aa	aa	INTJ
iajs-2432	75	4			NUM
iajs-2432	75	5			NOUN
iajs-2432	75	6	case	case	NOUN
iajs-2432	75	7	2	2	NUM
iajs-2432	75	8	:	:	PUNCT
iajs-2432	75	9	if	if	SCONJ
iajs-2432	75	10	)	)	PUNCT
iajs-2432	75	11	(	(	PUNCT
iajs-2432	75	12	)	)	PUNCT
iajs-2432	75	13	(	(	PUNCT
iajs-2432	75	14	aa	aa	PUNCT
iajs-2432	75	15			PROPN
iajs-2432	75	16			X
iajs-2432	75	17	)	)	PUNCT
iajs-2432	75	18	}	}	PUNCT
iajs-2432	75	19	(	(	PUNCT
iajs-2432	75	20	)	)	PUNCT
iajs-2432	75	21	,	,	PUNCT
iajs-2432	75	22	(	(	PUNCT
iajs-2432	75	23	max	max	PROPN
iajs-2432	75	24	{	{	PUNCT
iajs-2432	75	25	)	)	PUNCT
iajs-2432	75	26	.	.	PUNCT
iajs-2432	76	1	(	(	PUNCT
iajs-2432	76	2			X
iajs-2432	76	3	aaa	aaa	PROPN
iajs-2432	76	4			NOUN
iajs-2432	76	5			ADV
iajs-2432	76	6	then	then	ADV
iajs-2432	76	7	)	)	PUNCT
iajs-2432	76	8	.	.	PUNCT
iajs-2432	77	1	(	(	PUNCT
iajs-2432	77	2	)	)	PUNCT
iajs-2432	77	3	.	.	PUNCT
iajs-2432	78	1	(	(	PUNCT
iajs-2432	78	2			ADV
iajs-2432	78	3	aa	aa	PROPN
iajs-2432	78	4			NUM
iajs-2432	78	5			X
iajs-2432	78	6	proof	proof	NOUN
iajs-2432	78	7	2	2	NUM
iajs-2432	78	8	if	if	SCONJ
iajs-2432	78	9	)	)	PUNCT
iajs-2432	78	10	(	(	PUNCT
iajs-2432	78	11	)	)	PUNCT
iajs-2432	78	12	(	(	PUNCT
iajs-2432	78	13	aa	aa	PUNCT
iajs-2432	78	14			NOUN
iajs-2432	78	15			NOUN
iajs-2432	78	16	either	either	ADV
iajs-2432	78	17	)	)	PUNCT
iajs-2432	78	18	(	(	PUNCT
iajs-2432	78	19	)	)	PUNCT
iajs-2432	78	20	(	(	PUNCT
iajs-2432	78	21	aa	aa	X
iajs-2432	78	22			X
iajs-2432	78	23			NOUN
iajs-2432	78	24	)	)	PUNCT
iajs-2432	78	25	.	.	PUNCT
iajs-2432	79	1	(	(	PUNCT
iajs-2432	79	2	)	)	PUNCT
iajs-2432	79	3	.	.	PUNCT
iajs-2432	80	1	(	(	PUNCT
iajs-2432	80	2	)	)	PUNCT
iajs-2432	80	3	}	}	PUNCT
iajs-2432	80	4	(	(	PUNCT
iajs-2432	80	5	)	)	PUNCT
iajs-2432	80	6	,	,	PUNCT
iajs-2432	80	7	(	(	PUNCT
iajs-2432	80	8	min	min	NOUN
iajs-2432	80	9	{	{	PUNCT
iajs-2432	80	10	)	)	PUNCT
iajs-2432	80	11	.	.	PUNCT
iajs-2432	81	1	(	(	PUNCT
iajs-2432	81	2			ADV
iajs-2432	81	3			ADV
iajs-2432	81	4	aa	aa	PROPN
iajs-2432	81	5	aaa	aaa	PROPN
iajs-2432	81	6			PROPN
iajs-2432	81	7			NOUN
iajs-2432	81	8			X
iajs-2432	81	9			ADP
iajs-2432	81	10	  	  	SPACE
iajs-2432	81	11	119	119	NUM
iajs-2432	81	12	ibn	ibn	PROPN
iajs-2432	81	13	al	al	PROPN
iajs-2432	81	14	-	-	PUNCT
iajs-2432	81	15	haitham	haitham	PROPN
iajs-2432	81	16	jour	jour	X
iajs-2432	81	17	.	.	PROPN
iajs-2432	82	1	for	for	ADP
iajs-2432	82	2	pure	pure	ADJ
iajs-2432	82	3	&	&	CCONJ
iajs-2432	82	4	appl	appl	PROPN
iajs-2432	82	5	.	.	PUNCT
iajs-2432	83	1	sci	sci	PROPN
iajs-2432	83	2	.	.	PROPN
iajs-2432	84	1	33	33	NUM
iajs-2432	84	2	(	(	PUNCT
iajs-2432	84	3	2	2	NUM
iajs-2432	84	4	)	)	PUNCT
iajs-2432	84	5	2020	2020	NUM
iajs-2432	84	6	or	or	CCONJ
iajs-2432	84	7	)	)	PUNCT
iajs-2432	84	8	(	(	PUNCT
iajs-2432	84	9	)	)	PUNCT
iajs-2432	84	10	(	(	PUNCT
iajs-2432	84	11	aa	aa	PUNCT
iajs-2432	84	12			PROPN
iajs-2432	84	13			PROPN
iajs-2432	84	14	)	)	PUNCT
iajs-2432	84	15	.	.	PUNCT
iajs-2432	85	1	(	(	PUNCT
iajs-2432	85	2	)	)	PUNCT
iajs-2432	85	3	.	.	PUNCT
iajs-2432	86	1	(	(	PUNCT
iajs-2432	86	2	)	)	PUNCT
iajs-2432	86	3	}	}	PUNCT
iajs-2432	86	4	(	(	PUNCT
iajs-2432	86	5	)	)	PUNCT
iajs-2432	86	6	,	,	PUNCT
iajs-2432	86	7	(	(	PUNCT
iajs-2432	86	8	min	min	NOUN
iajs-2432	86	9	{	{	PUNCT
iajs-2432	86	10	)	)	PUNCT
iajs-2432	86	11	.	.	PUNCT
iajs-2432	87	1	(	(	PUNCT
iajs-2432	87	2			X
iajs-2432	87	3			PUNCT
iajs-2432	87	4	aa	aa	PROPN
iajs-2432	87	5	aaa	aaa	PROPN
iajs-2432	87	6			PROPN
iajs-2432	87	7			PROPN
iajs-2432	87	8			X
iajs-2432	87	9			X
iajs-2432	87	10	references	reference	NOUN
iajs-2432	87	11	1	1	NUM
iajs-2432	87	12	.	.	PUNCT
iajs-2432	87	13	zadeh	zadeh	PROPN
iajs-2432	87	14	,	,	PUNCT
iajs-2432	87	15	l.a	l.a	PROPN
iajs-2432	87	16	.	.	PROPN
iajs-2432	87	17	fuzzy	fuzzy	ADJ
iajs-2432	87	18	sets	set	NOUN
iajs-2432	87	19	.	.	PUNCT
iajs-2432	88	1	information	information	NOUN
iajs-2432	88	2	and	and	CCONJ
iajs-2432	88	3	control.1965	control.1965	PROPN
iajs-2432	88	4	,	,	PUNCT
iajs-2432	88	5	8	8	NUM
iajs-2432	88	6	,	,	PUNCT
iajs-2432	88	7	1	1	NUM
iajs-2432	88	8	,	,	PUNCT
iajs-2432	88	9	338	338	NUM
iajs-2432	88	10	-	-	SYM
iajs-2432	88	11	353	353	NUM
iajs-2432	88	12	.	.	NOUN
iajs-2432	89	1	2	2	NUM
iajs-2432	89	2	.	.	X
iajs-2432	89	3	rseronfeld	rseronfeld	PROPN
iajs-2432	89	4	r.	r.	PROPN
iajs-2432	89	5	fuzzy	fuzzy	PROPN
iajs-2432	89	6	group	group	PROPN
iajs-2432	89	7	.	.	PUNCT
iajs-2432	90	1	j.math	j.math	PROPN
iajs-2432	90	2	.	.	PUNCT
iajs-2432	91	1	anal.1971	anal.1971	ADP
iajs-2432	91	2	,	,	PUNCT
iajs-2432	91	3	3	3	NUM
iajs-2432	91	4	,	,	PUNCT
iajs-2432	91	5	5	5	NUM
iajs-2432	91	6	,	,	PUNCT
iajs-2432	91	7	512	512	NUM
iajs-2432	91	8	-	-	SYM
iajs-2432	91	9	517	517	NUM
iajs-2432	91	10	.	.	NOUN
iajs-2432	92	1	3	3	X
iajs-2432	92	2	.	.	X
iajs-2432	92	3	atanassov	atanassov	PROPN
iajs-2432	92	4	.	.	PUNCT
iajs-2432	93	1	intuitionistic	intuitionistic	ADJ
iajs-2432	93	2	fuzzy	fuzzy	ADJ
iajs-2432	93	3	sets	set	NOUN
iajs-2432	93	4	.	.	PUNCT
iajs-2432	94	1	fuzzy	fuzzy	ADJ
iajs-2432	94	2	sets	set	NOUN
iajs-2432	94	3	and	and	CCONJ
iajs-2432	94	4	systems.1986	systems.1986	PROPN
iajs-2432	94	5	,	,	PUNCT
iajs-2432	94	6	2010	2010	NUM
iajs-2432	94	7	,	,	PUNCT
iajs-2432	94	8	87	87	NUM
iajs-2432	94	9	-	-	SYM
iajs-2432	94	10	96	96	NUM
iajs-2432	94	11	.	.	NOUN
iajs-2432	95	1	4	4	NUM
iajs-2432	95	2	.	.	X
iajs-2432	95	3	biswas	biswas	PROPN
iajs-2432	95	4	,	,	PUNCT
iajs-2432	95	5	r.	r.	PROPN
iajs-2432	95	6	intuitionistic	intuitionistic	ADJ
iajs-2432	95	7	fuzzy	fuzzy	ADJ
iajs-2432	95	8	subrings	subring	NOUN
iajs-2432	95	9	.	.	PUNCT
iajs-2432	96	1	mathematical	mathematical	PROPN
iajs-2432	96	2	forum.1989	forum.1989	PROPN
iajs-2432	96	3	,	,	PUNCT
iajs-2432	96	4	10	10	NUM
iajs-2432	96	5	,	,	PUNCT
iajs-2432	96	6	37	37	NUM
iajs-2432	96	7	-	-	SYM
iajs-2432	96	8	46	46	NUM
iajs-2432	96	9	.	.	PUNCT
iajs-2432	97	1	5	5	NUM
iajs-2432	97	2	.	.	X
iajs-2432	97	3	banerjee	banerjee	PROPN
iajs-2432	97	4	,	,	PUNCT
iajs-2432	97	5	b.	b.	PROPN
iajs-2432	97	6	;	;	PUNCT
iajs-2432	97	7	basnet	basnet	PROPN
iajs-2432	97	8	,	,	PUNCT
iajs-2432	97	9	d.k.r	d.k.r	PROPN
iajs-2432	97	10	.	.	PUNCT
iajs-2432	98	1	intuitionistic	intuitionistic	ADJ
iajs-2432	98	2	fuzzy	fuzzy	ADJ
iajs-2432	98	3	subrings	subring	NOUN
iajs-2432	98	4	and	and	CCONJ
iajs-2432	98	5	ideals	ideal	NOUN
iajs-2432	98	6	.	.	PUNCT
iajs-2432	99	1	j.fuzzy	j.fuzzy	ADJ
iajs-2432	99	2	math	math	NOUN
iajs-2432	99	3	.	.	PUNCT
iajs-2432	100	1	2003	2003	NUM
iajs-2432	100	2	,	,	PUNCT
iajs-2432	100	3	11	11	NUM
iajs-2432	100	4	,	,	PUNCT
iajs-2432	100	5	1,139	1,139	NUM
iajs-2432	100	6	-	-	SYM
iajs-2432	100	7	155	155	NUM
iajs-2432	100	8	.	.	NOUN
iajs-2432	101	1	6	6	NUM
iajs-2432	101	2	.	.	X
iajs-2432	101	3	meena	meena	PROPN
iajs-2432	101	4	,	,	PUNCT
iajs-2432	101	5	k.	k.	PROPN
iajs-2432	101	6	;	;	PUNCT
iajs-2432	101	7	thomas	thomas	PROPN
iajs-2432	101	8	,	,	PUNCT
iajs-2432	101	9	v.	v.	ADP
iajs-2432	101	10	intuitionistic	intuitionistic	ADJ
iajs-2432	101	11	l	l	ADJ
iajs-2432	101	12	-	-	ADJ
iajs-2432	101	13	fuzzy	fuzzy	ADJ
iajs-2432	101	14	subrings	subring	NOUN
iajs-2432	101	15	.	.	PUNCT
iajs-2432	102	1	international	international	ADJ
iajs-2432	102	2	mathematical	mathematical	ADJ
iajs-2432	102	3	frown.2011	frown.2011	PROPN
iajs-2432	102	4	,	,	PUNCT
iajs-2432	102	5	6	6	NUM
iajs-2432	102	6	,	,	PUNCT
iajs-2432	102	7	53	53	NUM
iajs-2432	102	8	,	,	PUNCT
iajs-2432	102	9	2561	2561	NUM
iajs-2432	102	10	-	-	SYM
iajs-2432	102	11	2572	2572	NUM
iajs-2432	102	12	.	.	PUNCT
iajs-2432	103	1	7	7	X
iajs-2432	103	2	.	.	X
iajs-2432	103	3	basnet	basnet	PROPN
iajs-2432	103	4	,	,	PUNCT
iajs-2432	103	5	d.k	d.k	PROPN
iajs-2432	103	6	.	.	NOUN
iajs-2432	103	7	topics	topic	NOUN
iajs-2432	103	8	in	in	ADP
iajs-2432	103	9	intuitionistic	intuitionistic	ADJ
iajs-2432	103	10	.	.	PUNCT
iajs-2432	103	11	fuzzy	fuzzy	PROPN
iajs-2432	103	12	algebra.2011	algebra.2011	PROPN
iajs-2432	103	13	,	,	PUNCT
iajs-2432	103	14	isbn	isbn	ADJ
iajs-2432	103	15	:	:	PUNCT
iajs-2432	103	16	978	978	NUM
iajs-2432	103	17	-	-	SYM
iajs-2432	103	18	3	3	NUM
iajs-2432	103	19	-	-	PUNCT
iajs-2432	103	20	8443	8443	NUM
iajs-2432	103	21	-	-	SYM
iajs-2432	103	22	9147	9147	NUM
iajs-2432	103	23	-	-	PUNCT
iajs-2432	103	24	3	3	NUM
iajs-2432	103	25	.	.	NOUN
iajs-2432	103	26	8	8	NUM
iajs-2432	103	27	.	.	PUNCT
iajs-2432	103	28	sharma	sharma	PROPN
iajs-2432	103	29	,	,	PUNCT
iajs-2432	103	30	p.k	p.k	PROPN
iajs-2432	103	31	.	.	PROPN
iajs-2432	103	32	on	on	ADP
iajs-2432	103	33	intuitionistic	intuitionistic	ADJ
iajs-2432	103	34	anit	anit	NOUN
iajs-2432	103	35	.	.	PUNCT
iajs-2432	104	1	fuzzy	fuzzy	ADJ
iajs-2432	104	2	ideal	ideal	NOUN
iajs-2432	104	3	in	in	ADP
iajs-2432	104	4	ring	ring	NOUN
iajs-2432	104	5	.	.	PUNCT
iajs-2432	105	1	int	int	NOUN
iajs-2432	105	2	.	.	PUNCT
iajs-2432	106	1	j.	j.	PROPN
iajs-2432	106	2	of	of	ADP
iajs-2432	106	3	mathematical	mathematical	ADJ
iajs-2432	106	4	sciences	sciences	PROPN
iajs-2432	106	5	and	and	CCONJ
iajs-2432	106	6	applications.2012	applications.2012	PROPN
iajs-2432	106	7	,	,	PUNCT
iajs-2432	106	8	2	2	NUM
iajs-2432	106	9	,	,	PUNCT
iajs-2432	106	10	1	1	NUM
iajs-2432	106	11	,	,	PUNCT
iajs-2432	106	12	139	139	NUM
iajs-2432	106	13	-	-	SYM
iajs-2432	106	14	146	146	NUM
iajs-2432	106	15	.	.	PUNCT