id	sid	eid	entity	type
iajs-747	1	1	ibn alhaitham j.	PERSON
iajs-747	2	1	sci.	ORG
iajs-747	2	2	3) 2011	DATE
iajs-747	3	1	al-haitham university of baghdad department of mathematics	ORG
iajs-747	3	2	university of alqadisiya	ORG
iajs-747	3	3	6 june 2011	DATE
iajs-747	3	4	8 february 2011	DATE
iajs-747	5	1	mendf r	PERSON
iajs-747	5	2	0	CARDINAL
iajs-747	7	1	5	CARDINAL
iajs-747	8	1	0	CARDINAL
iajs-747	9	1	two	CARDINAL
iajs-747	9	2	2	CARDINAL
iajs-747	12	1	second	ORDINAL
iajs-747	12	2	first	ORDINAL
iajs-747	12	3	ibn alhaitham	PERSON
iajs-747	12	4	university of baghdad	ORG
iajs-747	12	5	2010	DATE
iajs-747	13	1	ibn alhaitham j.	PERSON
iajs-747	14	1	sci.	ORG
iajs-747	14	2	3) 2011 1	DATE
iajs-747	17	1	1.1	CARDINAL
iajs-747	18	1	j	PERSON
iajs-747	19	1	1.2	CARDINAL
iajs-747	19	2	1	CARDINAL
iajs-747	21	1	3	CARDINAL
iajs-747	22	1	2	CARDINAL
iajs-747	23	1	3	CARDINAL
iajs-747	23	2	z4	PERSON
iajs-747	23	3	2(n	CARDINAL
iajs-747	23	4	0)),2	ORG
iajs-747	23	5	244	CARDINAL
iajs-747	23	6	2(n	CARDINAL
iajs-747	23	7	z4	GPE
iajs-747	23	8	2(n	CARDINAL
iajs-747	24	1	4	CARDINAL
iajs-747	27	1	0	CARDINAL
iajs-747	32	1	5	CARDINAL
iajs-747	35	1	6	CARDINAL
iajs-747	38	1	0	CARDINAL
iajs-747	41	1	5	CARDINAL
iajs-747	42	1	2.2	CARDINAL
iajs-747	44	1	ibn alhaitham j.	PERSON
iajs-747	45	1	sci.	ORG
iajs-747	45	2	3) 2011	DATE
iajs-747	48	1	21	CARDINAL
iajs-747	48	2	1,2	CARDINAL
iajs-747	48	3	2	CARDINAL
iajs-747	48	4	22	CARDINAL
iajs-747	48	5	0	CARDINAL
iajs-747	48	6	2	CARDINAL
iajs-747	48	7	2)0	CARDINAL
iajs-747	48	8	z ≰e 2	ORG
iajs-747	48	9	zz 	PERSON
iajs-747	49	1	1.3	CARDINAL
iajs-747	49	2	21	CARDINAL
iajs-747	49	3	m. proof	PERSON
iajs-747	49	4	0	CARDINAL
iajs-747	49	5	1	CARDINAL
iajs-747	49	6	0	CARDINAL
iajs-747	49	7	2	CARDINAL
iajs-747	50	1	n2≤e	NORP
iajs-747	50	2	21	CARDINAL
iajs-747	51	1	2121	CARDINAL
iajs-747	52	1	21	CARDINAL
iajs-747	52	2		ORG
iajs-747	52	3	21 nn 	QUANTITY
iajs-747	53	1	lemma	ORG
iajs-747	54	1	1.4	CARDINAL
iajs-747	56	1	0nu	CARDINAL
iajs-747	56	2		ORG
iajs-747	56	3	np ≰e m p	ORG
iajs-747	57	1	1.5	CARDINAL
iajs-747	58	1	np	ORG
iajs-747	58	2	m. proof	PERSON
iajs-747	58	3	np	ORG
iajs-747	58	4	0	DATE
iajs-747	59	1	4	CARDINAL
iajs-747	59	2	0	CARDINAL
iajs-747	59	3	4	CARDINAL
iajs-747	60	1	1.4	CARDINAL
iajs-747	62	1	ibn alhaitham j.	PERSON
iajs-747	63	1	sci.	ORG
iajs-747	63	2	3) 2011	DATE
iajs-747	63	3	mnmhomf 	PERSON
iajs-747	64	1	6	CARDINAL
iajs-747	65	1	3	CARDINAL
iajs-747	66	1	1.6	CARDINAL
iajs-747	67	1	1.6	CARDINAL
iajs-747	68	1	1.7	CARDINAL
iajs-747	68	2	2(n	CARDINAL
iajs-747	68	3	z4	GPE
iajs-747	68	4	2	CARDINAL
iajs-747	68	5	44	CARDINAL
iajs-747	68	6	zzhomf 	PERSON
iajs-747	68	7	2	CARDINAL
iajs-747	68	8	4zf	ORDINAL
iajs-747	68	9	z4	GPE
iajs-747	68	10	z4	GPE
iajs-747	68	11	2	CARDINAL
iajs-747	68	12	4zf	ORDINAL
iajs-747	68	13	z4	GPE
iajs-747	69	1	2(n	CARDINAL
iajs-747	69	2	z4	GPE
iajs-747	71	1	2	CARDINAL
iajs-747	73	1	k-nonsingular	ORG
iajs-747	73	2	8	CARDINAL
iajs-747	73	3	submodule	ORG
iajs-747	75	1	2.1	CARDINAL
iajs-747	77	1	2.2	CARDINAL
iajs-747	77	2	1	CARDINAL
iajs-747	78	1	2	CARDINAL
iajs-747	78	2	5	CARDINAL
iajs-747	78	3	1.4	CARDINAL
iajs-747	79	1	3	CARDINAL
iajs-747	79	2	2	CARDINAL
iajs-747	79	3	0)),2	ORG
iajs-747	79	4	244	CARDINAL
iajs-747	80	1	4	CARDINAL
iajs-747	81	1	4.1.2	CARDINAL
iajs-747	81	2	8	CARDINAL
iajs-747	82	1	5	CARDINAL
iajs-747	84	1	ibn alhaitham j.	PERSON
iajs-747	85	1	sci.	ORG
iajs-747	85	2	3) 2011	DATE
iajs-747	86	1	roman c.s	PERSON
iajs-747	86	2	8	CARDINAL
iajs-747	86	3	mendf r	PERSON
iajs-747	87	1	2.3	CARDINAL
iajs-747	89	1	mendf r 	PERSON
iajs-747	89	2	0f	CARDINAL
iajs-747	91	1	mm	ORG
iajs-747	93	1	0	CARDINAL
iajs-747	96	1	0f	CARDINAL
iajs-747	98	1	r	ORG
iajs-747	99	1	ker	PERSON
iajs-747	99	2	0	CARDINAL
iajs-747	102	1	k-nonsingular	ORG
iajs-747	103	1	2.4	CARDINAL
iajs-747	105	1	2.4	CARDINAL
iajs-747	106	1	2.5	CARDINAL
iajs-747	107	1	ir	ORG
iajs-747	107	2	ir 	PERSON
iajs-747	107	3	ia	GPE
iajs-747	107	4	ia	GPE
iajs-747	108	1	2	CARDINAL
iajs-747	109	1	2.6	CARDINAL
iajs-747	110	1	1	CARDINAL
iajs-747	111	1	2	CARDINAL
iajs-747	112	1	3	CARDINAL
iajs-747	116	1	3()2	CARDINAL
iajs-747	116	2	2	CARDINAL
iajs-747	116	3	1.27	CARDINAL
iajs-747	117	1	1()2	DATE
iajs-747	118	1	0	CARDINAL
iajs-747	119	1	0f	CARDINAL
iajs-747	121	1	rr0	PERSON
iajs-747	121	2	rt 0	PERSON
iajs-747	124	1	0	CARDINAL
iajs-747	126	1	ibn alhaitham j.	PERSON
iajs-747	127	1	sci.	ORG
iajs-747	127	2	3) 2011	DATE
iajs-747	128	1	3()1	DATE
iajs-747	129	1	5	CARDINAL
iajs-747	129	2	2.2	CARDINAL
iajs-747	129	3	aannanna	PERSON
iajs-747	129	4	0	CARDINAL
iajs-747	130	1	2.7	CARDINAL
iajs-747	131	1	one	CARDINAL
iajs-747	132	1	proof	PERSON
iajs-747	132	2	2.6	CARDINAL
iajs-747	132	3	2	CARDINAL
iajs-747	132	4	13	CARDINAL
iajs-747	133	1	2.6	CARDINAL
iajs-747	134	1	2.6	CARDINAL
iajs-747	134	2	0	CARDINAL
iajs-747	135	1	0	CARDINAL
iajs-747	135	2		DATE
iajs-747	136	1	2.6	CARDINAL
iajs-747	140	1	0	CARDINAL
iajs-747	142	1	2.8	CARDINAL
iajs-747	144	1	n 	PERSON
iajs-747	144	2		PRODUCT
iajs-747	145	1	2.6	CARDINAL
iajs-747	146	1	n	NORP
iajs-747	146	2	nrm	ORG
iajs-747	146	3	0)(2	NORP
iajs-747	146	4	mannr	PERSON
iajs-747	147	1	n 	PERSON
iajs-747	147	2		PRODUCT
iajs-747	148	1	n 	PERSON
iajs-747	148	2		PRODUCT
iajs-747	151	1	0r	DATE
iajs-747	151	2	mannr r	PERSON
iajs-747	152	1	2	CARDINAL
iajs-747	152	2	nannr	GPE
iajs-747	152	3	n	NORP
iajs-747	152	4	annr r	PERSON
iajs-747	152	5	n m nann n	ORG
iajs-747	152	6	annnannr rrr	PERSON
iajs-747	152	7	0	CARDINAL
iajs-747	154	1	ibn alhaitham j.	PERSON
iajs-747	155	1	sci.	ORG
iajs-747	155	2	3) 2011	DATE
iajs-747	155	3	2.9	CARDINAL
iajs-747	157	1	3	CARDINAL
iajs-747	157	2		PRODUCT
iajs-747	158	1	0	CARDINAL
iajs-747	158	2		ORG
iajs-747	162	1	t(m	ORG
iajs-747	163	1	t(m	ORG
iajs-747	165	1	1	CARDINAL
iajs-747	167	1	2.10	CARDINAL
iajs-747	167	2	1	CARDINAL
iajs-747	167	3	2	CARDINAL
iajs-747	167	4	21 mm	QUANTITY
iajs-747	169	1	1	DATE
iajs-747	170	1	21	CARDINAL
iajs-747	170	2	mm 	PERSON
iajs-747	170	3		PERSON
iajs-747	171	1	2	DATE
iajs-747	172	1	2	CARDINAL
iajs-747	173	1	1221 1	DATE
iajs-747	173	2		ORG
iajs-747	173	3	1 1 mendofoh	QUANTITY
iajs-747	173	4	0h	PERSON
iajs-747	173	5	kerh ≰e	ORG
iajs-747	173	6	1	CARDINAL
iajs-747	174	1	2	CARDINAL
iajs-747	174	2	cliam	ORG
iajs-747	174	3	1 2	CARDINAL
iajs-747	174	4	kerhymykerf  	ORG
iajs-747	175	1	1111	CARDINAL
iajs-747	175	2	0)0	CARDINAL
iajs-747	175	3	11	CARDINAL
iajs-747	175	4	kerfy 	PERSON
iajs-747	175	5	kerhy 	PERSON
iajs-747	175	6	1	CARDINAL
iajs-747	176	1	1	CARDINAL
iajs-747	176	2	1	CARDINAL
iajs-747	176	3	1	CARDINAL
iajs-747	176	4	1	CARDINAL
iajs-747	176	5	2	CARDINAL
iajs-747	177	1	2	DATE
iajs-747	179	1	2.11	CARDINAL
iajs-747	179	2		PRODUCT
iajs-747	182	1	2.12	CARDINAL
iajs-747	183	1	2(n ≤ z4	QUANTITY
iajs-747	183	2	24	CARDINAL
iajs-747	183	3	2	CARDINAL
iajs-747	185	1	first	ORDINAL
iajs-747	185	2	ibn alhaitham j.	PERSON
iajs-747	186	1	sci.	ORG
iajs-747	186	2	3) 2011	DATE
iajs-747	186	3	2.13	CARDINAL
iajs-747	186	4		PRODUCT
iajs-747	188	1	2zqm	ORG
iajs-747	189	1	22	CARDINAL
iajs-747	189	2	0(	PERCENT
iajs-747	189	3	2	CARDINAL
iajs-747	189	4	0f and 22}0:),{()}0,0	CARDINAL
iajs-747	191	1	2 zzn	PERCENT
iajs-747	193	1	2.14	CARDINAL
iajs-747	195	1	nendf	LAW
iajs-747	195	2	0f	CARDINAL
iajs-747	198	1	kerg ≰e	GPE
iajs-747	202	1	0u	CARDINAL
iajs-747	203	1		GPE
iajs-747	203	2		GPE
iajs-747	203	3	0ukerf	CARDINAL
iajs-747	204	1	kerf ≰e n	ORG
iajs-747	207	1	sci.	ORG
iajs-747	207	2	3) 2011	DATE
iajs-747	207	3	2.15	CARDINAL
iajs-747	209	1	2.14	CARDINAL
iajs-747	210	1	2.16	CARDINAL
iajs-747	211	1	e(m	PERSON
iajs-747	214	1	2.17	CARDINAL
iajs-747	218	1	2.18	CARDINAL
iajs-747	222	1	0iog	CARDINAL
iajs-747	225	1	kerg = ker(iog	PERSON
iajs-747	226	1	kerg ≰e	GPE
iajs-747	228	1	first	ORDINAL
iajs-747	229	1	2.19	CARDINAL
iajs-747	229	2		PRODUCT
iajs-747	233	1	4	DATE
iajs-747	233	2	n z z 	ORG
iajs-747	234	1	bpg :	PERSON
iajs-747	234	2	foh	ORG
iajs-747	235	1	3	CARDINAL
iajs-747	236	1	ibn alhaitham j.	PERSON
iajs-747	237	1	sci.	ORG
iajs-747	237	2	3) 2011	DATE
iajs-747	237	3	2.19	CARDINAL
iajs-747	238	1	2.21	CARDINAL
iajs-747	239	1		PRODUCT
iajs-747	241	1	u ≤ e m	FAC
iajs-747	242	1	0	DATE
iajs-747	243	1	n	NORP
iajs-747	246	1	0f	CARDINAL
iajs-747	246	2	0	CARDINAL
iajs-747	247	1		PRODUCT
iajs-747	248	1	0	CARDINAL
iajs-747	252	1	ibn alhaitham j.	PERSON
iajs-747	253	1	sci.	ORG
iajs-747	253	2	3) 2011	DATE
iajs-747	253	3	1	CARDINAL
iajs-747	253	4	atiyah	PERSON
iajs-747	254	1	macdonald	PERSON
iajs-747	254	2	i.g.	GPE
iajs-747	254	3	1969	DATE
iajs-747	254	4	university of oxford	ORG
iajs-747	255	1	2	CARDINAL
iajs-747	255	2	goodearl	PERSON
iajs-747	255	3	k.r.	GPE
iajs-747	256	1	1976	DATE
iajs-747	256	2	maracel dekker	PERSON
iajs-747	257	1	3	CARDINAL
iajs-747	257	2	kasch, f. ( 1982	ORG
iajs-747	257	3	london	GPE
iajs-747	258	1	4	CARDINAL
iajs-747	258	2	larsen	PERSON
iajs-747	259	1	mc carthy	PERSON
iajs-747	260	1	1971	DATE
iajs-747	260	2	london	GPE
iajs-747	261	1	5	CARDINAL
iajs-747	261	2	mijbass	ORG
iajs-747	262	1	1997	DATE
iajs-747	262	2	university of baghdad	ORG
iajs-747	263	1	6	CARDINAL
iajs-747	263	2	naoum	ORG
iajs-747	264	1	hadi	NORP
iajs-747	264	2	i. m-a	PERSON
iajs-747	264	3	iraqi	NORP
iajs-747	264	4	j. sci	PERSON
iajs-747	264	5	1	CARDINAL
iajs-747	264	6	2	CARDINAL
iajs-747	264	7	43	DATE
iajs-747	264	8	54	DATE
iajs-747	265	1	7	CARDINAL
iajs-747	266	1	s.t.	PERSON
iajs-747	266	2	roman	GPE
iajs-747	266	3	c.s.	GPE
iajs-747	266	4	2007	DATE
iajs-747	267	1	2960	CARDINAL
iajs-747	267	2	2982	CARDINAL
iajs-747	267	3	8	CARDINAL
iajs-747	267	4	c. s	PERSON
iajs-747	268	1	2004	DATE
iajs-747	269	1	baer	PERSON
iajs-747	269	2	baer	PERSON
iajs-747	270	1	ohio	GPE
iajs-747	271	1	2011	DATE
iajs-747	272	1	3	CARDINAL
iajs-747	272	2	24بن	ORDINAL
iajs-747	272	3	والتطبیقیة المجلدمجلة	PERSON
iajs-747	272	4	الواسعة معكوسة	PERSON
iajs-747	272	5	الواسعةدیدیكاندیة	ORG
iajs-747	272	6	ثائر	ORG
iajs-747	272	7	یونس	GPE
iajs-747	272	8	،	CARDINAL
iajs-747	272	9	جامعة بغداد	ORG
iajs-747	272	10	جامعة	ORG
iajs-747	272	11	6	CARDINAL
iajs-747	272	12	استلم البحث	PRODUCT
iajs-747	272	13	2011	DATE
iajs-747	272	14	8	CARDINAL
iajs-747	272	15	االبحـث درســنفــي هـذا	PERSON
iajs-747	273	1	أبدالیـ الواســعة	ORG
iajs-747	274	1	دیدیكاندیـة	PERSON
iajs-747	274	2	الواسعةدیدیكاندیة	PRODUCT
iajs-747	274	3	مقاس	GPE
iajs-747	275	1	علیها النتیجة	PERSON
iajs-747	275	2	اال k " ،	PERSON
iajs-747	276	1	مقاس	PERSON
iajs-747	278	1	مـنm إلـىm علـى الحلقـةr	ORG