id	sid	eid	entity	type
iajs-1013	1	1	ibn alhaitham j.	PERSON
iajs-1013	2	1	sci.	ORG
iajs-1013	3	1	vol.23	PERSON
iajs-1013	3	2	1) 2010	DATE
iajs-1013	3	3	l. s mahmood	ORG
iajs-1013	3	4	a. s. mijbass	PERSON
iajs-1013	3	5	k. s. kalaf	PERSON
iajs-1013	3	6	ibn al-haitham	PERSON
iajs-1013	3	7	university of baghdad	ORG
iajs-1013	4	1	tikrit university	ORG
iajs-1013	5	1	department of physics	ORG
iajs-1013	8	1		DATE
iajs-1013	10	1		DATE
iajs-1013	10	2	m.	PERSON
iajs-1013	11	1		DATE
iajs-1013	13	1	1	CARDINAL
iajs-1013	16	1	five	CARDINAL
iajs-1013	17	1	first	ORDINAL
iajs-1013	17	2		DATE
iajs-1013	17	3	ph.d	NORP
iajs-1013	17	4	third	ORDINAL
iajs-1013	17	5	first	ORDINAL
iajs-1013	17	6	second	ORDINAL
iajs-1013	17	7	al-haitham university	ORG
iajs-1013	17	8	baghdad	GPE
iajs-1013	18	1	ibn alhaitham j.	PERSON
iajs-1013	19	1	sci.	ORG
iajs-1013	20	1	vol.23	PERSON
iajs-1013	20	2	1) 2010	DATE
iajs-1013	20	3	submodule of 	ORG
iajs-1013	20	4	1.1	CARDINAL
iajs-1013	22	1	1.6.	CARDINAL
iajs-1013	24	1	1.7	CARDINAL
iajs-1013	25	1	1.15	CARDINAL
iajs-1013	26	1	second	ORDINAL
iajs-1013	26	2	2.1	CARDINAL
iajs-1013	26	3	2.2	CARDINAL
iajs-1013	26	4	2.3	CARDINAL
iajs-1013	26	5	2.8	CARDINAL
iajs-1013	26	6	2.9	CARDINAL
iajs-1013	26	7	2.10	CARDINAL
iajs-1013	27	1	section three	LAW
iajs-1013	27	2	2	CARDINAL
iajs-1013	27	3		DATE
iajs-1013	27	4	3.2	CARDINAL
iajs-1013	28	1	3.4	CARDINAL
iajs-1013	28	2	two	CARDINAL
iajs-1013	28	3	3.7	CARDINAL
iajs-1013	28	4	3.8	CARDINAL
iajs-1013	29	1	four	CARDINAL
iajs-1013	29	2	3	CARDINAL
iajs-1013	30	1	4.2	CARDINAL
iajs-1013	30	2	4.3	CARDINAL
iajs-1013	30	3	4.4	CARDINAL
iajs-1013	30	4	4.5	CARDINAL
iajs-1013	32	1	1	CARDINAL
iajs-1013	33	1	i.	PERSON
iajs-1013	33	2	5.3	CARDINAL
iajs-1013	34	1		DATE
iajs-1013	34	2		DATE
iajs-1013	35	1	1	CARDINAL
iajs-1013	35	2	2	DATE
iajs-1013	35	3	5.5	CARDINAL
iajs-1013	36	1	2	CARDINAL
iajs-1013	38	1	1	CARDINAL
iajs-1013	38	2	2	DATE
iajs-1013	38	3	5.6	CARDINAL
iajs-1013	39	1	3	CARDINAL
iajs-1013	40	1	2 -quasiinjective	DATE
iajs-1013	40	2	5.8	CARDINAL
iajs-1013	41	1	qusi	PERSON
iajs-1013	44	1	1.1	CARDINAL
iajs-1013	44	2	two	CARDINAL
iajs-1013	45	1		DATE
iajs-1013	46	1		DATE
iajs-1013	46	2	m. ibn alhaitham j.	PERSON
iajs-1013	47	1	sci.	ORG
iajs-1013	48	1	vol.23	PERSON
iajs-1013	48	2	1) 2010	CARDINAL
iajs-1013	48	3	1.2	CARDINAL
iajs-1013	48	4	two	CARDINAL
iajs-1013	49	1	i.	PERSON
iajs-1013	54	1	1.3	CARDINAL
iajs-1013	54	2	i.	PERSON
iajs-1013	54	3	= z2	PERSON
iajs-1013	54	4	= z.	PERSON
iajs-1013	55	1	32	CARDINAL
iajs-1013	55	2	hom(z	MONEY
iajs-1013	55	3	2 	QUANTITY
iajs-1013	56	1	≈ z8	DATE
iajs-1013	58	1	2z	CARDINAL
iajs-1013	59	1	2z	CARDINAL
iajs-1013	59	2	2a	CARDINAL
iajs-1013	59	3	2 5	DATE
iajs-1013	60	1	2	CARDINAL
iajs-1013	60	2	5	CARDINAL
iajs-1013	60	3	2 5	DATE
iajs-1013	60	4	2z	CARDINAL
iajs-1013	60	5	2	CARDINAL
iajs-1013	60	6	5	CARDINAL
iajs-1013	61	1	2z-quasi-injective	QUANTITY
iajs-1013	62	1	2z-quasi-injective	QUANTITY
iajs-1013	62	2	2z	CARDINAL
iajs-1013	62	3	z. iii	PERSON
iajs-1013	64	1	2z	CARDINAL
iajs-1013	64	2	= z.	PERSON
iajs-1013	64	3	2z-quasi-injective	QUANTITY
iajs-1013	65	1	1.4	CARDINAL
iajs-1013	65	2	two	CARDINAL
iajs-1013	65	3	annr(	GPE
iajs-1013	68	1	annr(	GPE
iajs-1013	69	1	n  	ORG
iajs-1013	69	2		DATE
iajs-1013	69	3		DATE
iajs-1013	70	1	1.1	CARDINAL
iajs-1013	71	1	1.5	CARDINAL
iajs-1013	72	1	1.6	CARDINAL
iajs-1013	72	2		PRODUCT
iajs-1013	72	3	= z.	PERSON
iajs-1013	73	1		PRODUCT
iajs-1013	74	1	0	CARDINAL
iajs-1013	75	1	ibn alhaitham j.	PERSON
iajs-1013	76	1	sci.	ORG
iajs-1013	77	1	vol.23	PERSON
iajs-1013	77	2	1) 2010	DATE
iajs-1013	77	3	f  0	ORG
iajs-1013	77	4	0	CARDINAL
iajs-1013	77	5	0	CARDINAL
iajs-1013	78	1	0	CARDINAL
iajs-1013	79	1	1	CARDINAL
iajs-1013	79	2	0	CARDINAL
iajs-1013	80	1	0	CARDINAL
iajs-1013	83	1	 0	PERSON
iajs-1013	85	1	 q.	PERSON
iajs-1013	86	1		PRODUCT
iajs-1013	87	1	 q.	PERSON
iajs-1013	88	1	 0	PERSON
iajs-1013	90	1	 q.	PERSON
iajs-1013	90	2	y ≈ z	PERSON
iajs-1013	90	3	 q.	PERSON
iajs-1013	92	1	y ≈	PERSON
iajs-1013	92	2	 q.	PERSON
iajs-1013	93	1		PRODUCT
iajs-1013	95	1	1.6	CARDINAL
iajs-1013	97	1	1.7	CARDINAL
iajs-1013	97	2	two	CARDINAL
iajs-1013	97	3	l m	PERSON
iajs-1013	98	1	l 	PRODUCT
iajs-1013	99	1	l m	PERSON
iajs-1013	100	1	f  hom(n	ORG
iajs-1013	100	2	l m	PERSON
iajs-1013	101	1	l m	PERSON
iajs-1013	102	1	≈ hom(n	GPE
iajs-1013	102	2	 hom(n	ORG
iajs-1013	102	3	4	CARDINAL
iajs-1013	103	1	 hom(n	ORG
iajs-1013	104	1	≈ l	DATE
iajs-1013	108	1	≈	CARDINAL
iajs-1013	108	2	 0	PERSON
iajs-1013	108	3	≈	CARDINAL
iajs-1013	110	1	≈	CARDINAL
iajs-1013	112	1	≈	CARDINAL
iajs-1013	113	1	1.8	CARDINAL
iajs-1013	113	2	i. m	PERSON
iajs-1013	113	3	n  l quasi-injective	ORG
iajs-1013	114	1	n + l quasi-injective	PRODUCT
iajs-1013	115	1	i.	PERSON
iajs-1013	116	1	= z.	PERSON
iajs-1013	117	1		PRODUCT
iajs-1013	118	1	 z	PRODUCT
iajs-1013	118	2	2	CARDINAL
iajs-1013	118	3		ORG
iajs-1013	118	4	hom(z	ORG
iajs-1013	118	5	 z	PERSON
iajs-1013	118	6		PRODUCT
iajs-1013	119	1	≈ z. ibn alhaitham j.	PERSON
iajs-1013	120	1	sci.	ORG
iajs-1013	121	1	vol.23	PERSON
iajs-1013	121	2	1) 2010 ii	DATE
iajs-1013	122	1	1 2	CARDINAL
iajs-1013	122	2	1 3	CARDINAL
iajs-1013	122	3	= z.	PERSON
iajs-1013	123	1	1 2	CARDINAL
iajs-1013	123	2	1 3	CARDINAL
iajs-1013	124	1	1 2	CARDINAL
iajs-1013	125	1	1 3	CARDINAL
iajs-1013	126	1	1 2	CARDINAL
iajs-1013	127	1	1 3	CARDINAL
iajs-1013	127	2	2	CARDINAL
iajs-1013	128	1	2	CARDINAL
iajs-1013	131	1	≈	CARDINAL
iajs-1013	131	2	1.9	CARDINAL
iajs-1013	137	1	n  m	ORG
iajs-1013	142	1	1.10	CARDINAL
iajs-1013	142	2	two	CARDINAL
iajs-1013	143	1	1.11	CARDINAL
iajs-1013	145	1	two	CARDINAL
iajs-1013	146	1	1.12	CARDINAL
iajs-1013	146	2	n 	ORG
iajs-1013	149	1	f  g  hom(n	PERSON
iajs-1013	150	1	f (g(n	ORG
iajs-1013	153	1	1.13	CARDINAL
iajs-1013	155	1	ibn alhaitham j.	PERSON
iajs-1013	156	1	sci.	ORG
iajs-1013	157	1	vol.23	PERSON
iajs-1013	157	2	1) 2010	CARDINAL
iajs-1013	157	3	hom(m / n	ORG
iajs-1013	158	1	0	CARDINAL
iajs-1013	158	2	5	CARDINAL
iajs-1013	159	1	1.14	CARDINAL
iajs-1013	167	1	hom(m / n	FAC
iajs-1013	170	1	hom(m / n	FAC
iajs-1013	171	1	0	CARDINAL
iajs-1013	172	1	0	CARDINAL
iajs-1013	174	1	0	CARDINAL
iajs-1013	175	1		PERSON
iajs-1013	175	2	m. hence r	PERSON
iajs-1013	177	1	0	CARDINAL
iajs-1013	179	1	1.15	CARDINAL
iajs-1013	179	2	two	CARDINAL
iajs-1013	183	1	6	CARDINAL
iajs-1013	185	1	32	CARDINAL
iajs-1013	185	2	l l iig  	ORG
iajs-1013	185	3	    	PERSON
iajs-1013	188	1	0	CARDINAL
iajs-1013	191	1	0	CARDINAL
iajs-1013	191	2	m. hence	PERSON
iajs-1013	193	1	0	CARDINAL
iajs-1013	198	1	≈ l.	PERSON
iajs-1013	199	1	ibn alhaitham j.	PERSON
iajs-1013	200	1	sci.	ORG
iajs-1013	201	1	vol.23	PERSON
iajs-1013	201	2	1	CARDINAL
iajs-1013	201	3	2010	DATE
iajs-1013	201	4	two	CARDINAL
iajs-1013	202	1	first	ORDINAL
iajs-1013	203	1	2.1	CARDINAL
iajs-1013	203	2	two	CARDINAL
iajs-1013	204	1	g h where h : n  m	ORG
iajs-1013	207	1		DATE
iajs-1013	209	1		DATE
iajs-1013	213	1	n 	ORG
iajs-1013	214	1	1	CARDINAL
iajs-1013	216	1	g 	PERSON
iajs-1013	216	2	1	CARDINAL
iajs-1013	220	1	n  	ORG
iajs-1013	222	1	≈ m. therefore m	PERSON
iajs-1013	224	1	two	CARDINAL
iajs-1013	225	1	7	CARDINAL
iajs-1013	226	1	2.2	CARDINAL
iajs-1013	226	2	two	CARDINAL
iajs-1013	227	1		DATE
iajs-1013	227	2	m. proof	PERSON
iajs-1013	232	1	n  	ORG
iajs-1013	232	2	f = g h (	ORG
iajs-1013	232	3	2.1	CARDINAL
iajs-1013	233	1	ibn alhaitham j.	PERSON
iajs-1013	234	1	sci.	ORG
iajs-1013	235	1	vol.23	PERSON
iajs-1013	235	2	1) 2010	DATE
iajs-1013	235	3	g h(n	PERSON
iajs-1013	236	1	(n	ORG
iajs-1013	237	1	g h(n	PERSON
iajs-1013	239	1	l = g(n	ORG
iajs-1013	239	2		DATE
iajs-1013	247	1	2.3	CARDINAL
iajs-1013	247	2	two	CARDINAL
iajs-1013	248	1	1	CARDINAL
iajs-1013	249	1	2	CARDINAL
iajs-1013	249	2	n / k-quasi-injective	FAC
iajs-1013	250	1	3	CARDINAL
iajs-1013	250	2	n / k  	ORG
iajs-1013	250	3	n / k 	ORG
iajs-1013	250	4	g	ORG
iajs-1013	251	1	f. proof:	PERSON
iajs-1013	251	2	1	CARDINAL
iajs-1013	251	3	2	CARDINAL
iajs-1013	251	4	k,	PERSON
iajs-1013	252	1	n  n / k	ORG
iajs-1013	253	1		ORG
iajs-1013	253	2	1	CARDINAL
iajs-1013	253	3		DATE
iajs-1013	253	4	≈ m.	PERSON
iajs-1013	255	1	2	CARDINAL
iajs-1013	256	1	2	CARDINAL
iajs-1013	256	2	3	CARDINAL
iajs-1013	256	3	2.1	CARDINAL
iajs-1013	257	1	3	CARDINAL
iajs-1013	257	2	1	CARDINAL
iajs-1013	257	3	k =	PERSON
iajs-1013	260	1	n / k  	ORG
iajs-1013	261	1	n. f	PERSON
iajs-1013	263	1	3	CARDINAL
iajs-1013	263	2	n / k 	ORG
iajs-1013	263	3	g	ORG
iajs-1013	268	1	1	CARDINAL
iajs-1013	269	1	lemma	ORG
iajs-1013	269	2	2.3	CARDINAL
iajs-1013	270	1	2.4	CARDINAL
iajs-1013	270	2	n ≈ k.	PERSON
iajs-1013	273	1	2.5	CARDINAL
iajs-1013	276	1	2.3	CARDINAL
iajs-1013	281	1	lemma 2.4	ORG
iajs-1013	282	1	2.6	CARDINAL
iajs-1013	283	1	2.3	CARDINAL
iajs-1013	283	2	lemma 2.4	ORG
iajs-1013	284	1	2.6	CARDINAL
iajs-1013	284	2	ibn alhaitham j.	PERSON
iajs-1013	285	1	sci.	ORG
iajs-1013	286	1	vol.23	PERSON
iajs-1013	286	2	1) 2010 2.7	CARDINAL
iajs-1013	286	3	two	CARDINAL
iajs-1013	288	1	cor	ORG
iajs-1013	289	1	16.9	CARDINAL
iajs-1013	289	2	p.64	GPE
iajs-1013	289	3	6	CARDINAL
iajs-1013	290	1	2.6	CARDINAL
iajs-1013	291	1	r. 2.8	PERSON
iajs-1013	292	1		DATE
iajs-1013	292	2		DATE
iajs-1013	293	1	≈ m. proof	PERSON
iajs-1013	294	1		DATE
iajs-1013	297	1		DATE
iajs-1013	298	1	1	CARDINAL
iajs-1013	301	1	1	CARDINAL
iajs-1013	301	2		DATE
iajs-1013	302	1	1	CARDINAL
iajs-1013	303	1		DATE
iajs-1013	303	2	≈ m.	PERSON
iajs-1013	304	1	1	CARDINAL
iajs-1013	305	1	x.	PERSON
iajs-1013	308	1	2.9	CARDINAL
iajs-1013	314	1	r.	NORP
iajs-1013	319	1	0	CARDINAL
iajs-1013	322	1	0	CARDINAL
iajs-1013	324	1	1	CARDINAL
iajs-1013	325	1	1	CARDINAL
iajs-1013	330	1	≈	CARDINAL
iajs-1013	331	1	≈ r. moreover	PERSON
iajs-1013	331	2	1	CARDINAL
iajs-1013	332	1	r.	NORP
iajs-1013	333	1	2.9	CARDINAL
iajs-1013	334	1	2.10	CARDINAL
iajs-1013	335	1	two	CARDINAL
iajs-1013	336	1		DATE
iajs-1013	336	2		DATE
iajs-1013	338	1		DATE
iajs-1013	339	1	n  	ORG
iajs-1013	340	1	r. f	PERSON
iajs-1013	340	2	ibn alhaitham j.	PERSON
iajs-1013	341	1	sci.	ORG
iajs-1013	342	1	vol.23	PERSON
iajs-1013	342	2	1) 2010	DATE
iajs-1013	343	1		DATE
iajs-1013	344	1		DATE
iajs-1013	344	2	1y	CARDINAL
iajs-1013	345	1	0	CARDINAL
iajs-1013	348	1		DATE
iajs-1013	348	2		DATE
iajs-1013	352	1	h(r	PERSON
iajs-1013	354	1	0	CARDINAL
iajs-1013	355	1	r.	NORP
iajs-1013	355	2	0	CARDINAL
iajs-1013	357	1	0	CARDINAL
iajs-1013	357	2	0	CARDINAL
iajs-1013	361	1	2.10	CARDINAL
iajs-1013	361	2	2.11	CARDINAL
iajs-1013	361	3	two	CARDINAL
iajs-1013	364	1		DATE
iajs-1013	367	1		DATE
iajs-1013	367	2		DATE
iajs-1013	367	3	m. hence annr(t	PERSON
iajs-1013	368	1	0	CARDINAL
iajs-1013	374	1	2.12	CARDINAL
iajs-1013	374	2	2.11	CARDINAL
iajs-1013	374	3	2.13	CARDINAL
iajs-1013	374	4	= z4	PERSON
iajs-1013	374	5	= z.	PERSON
iajs-1013	376	1	1.6	CARDINAL
iajs-1013	376	2	2.11	CARDINAL
iajs-1013	377	1	section three	LAW
iajs-1013	378	1	3.1	CARDINAL
iajs-1013	378	2	two	CARDINAL
iajs-1013	379	1		DATE
iajs-1013	379	2	m. ibn alhaitham j.	PERSON
iajs-1013	380	1	sci.	ORG
iajs-1013	381	1	vol.23	PERSON
iajs-1013	381	2	1) 2010	CARDINAL
iajs-1013	382	1		DATE
iajs-1013	382	2	m. 3.2	PERSON
iajs-1013	382	3	3.3	CARDINAL
iajs-1013	383	1	= z. let k	PERSON
iajs-1013	383	2	2	CARDINAL
iajs-1013	385	1	4z	CARDINAL
iajs-1013	386	1	4z ≈ z4	QUANTITY
iajs-1013	386	2	2 	QUANTITY
iajs-1013	388	1	3.4	CARDINAL
iajs-1013	388	2	two	CARDINAL
iajs-1013	389	1	n-quasitight	TIME
iajs-1013	391	1	n / k  	ORG
iajs-1013	392	1	n  n /k	ORG
iajs-1013	393	1		ORG
iajs-1013	393	2		DATE
iajs-1013	393	3	≈ m.	PERSON
iajs-1013	399	1	n / k  m	ORG
iajs-1013	401	1	3.5	CARDINAL
iajs-1013	403	1	0	CARDINAL
iajs-1013	403	2	8	CARDINAL
iajs-1013	404	1	3.6	CARDINAL
iajs-1013	404	2	two	CARDINAL
iajs-1013	405	1	n / l  	ORG
iajs-1013	405	2	i.	PERSON
iajs-1013	405	3	n / l  m	ORG
iajs-1013	406	1	f (n / l	EVENT
iajs-1013	406	2		DATE
iajs-1013	408	1	≈ k. proof	PERSON
iajs-1013	409	1	n / l  	ORG
iajs-1013	409	2	n / l-quasi-injective	PRODUCT
iajs-1013	409	3	2.3	CARDINAL
iajs-1013	409	4	n / l 	ORG
iajs-1013	410	1	2.1	CARDINAL
iajs-1013	412	1		ORG
iajs-1013	414	1	f (n / l	LAW
iajs-1013	415	1		DATE
iajs-1013	419	1	n / l	EVENT
iajs-1013	421	1	 ibn alhaitham j.	PERSON
iajs-1013	422	1	sci.	ORG
iajs-1013	423	1	vol.23	PERSON
iajs-1013	423	2	1) 2010	DATE
iajs-1013	423	3	k 	PERSON
iajs-1013	424	1	0	CARDINAL
iajs-1013	426	1	n / l  	ORG
iajs-1013	427	1	n / l 	ORG
iajs-1013	428	1	f (n / l	LAW
iajs-1013	428	2		DATE
iajs-1013	430	1	≈ k. let	PERSON
iajs-1013	431	1	k  	ORG
iajs-1013	432	1	n / l	EVENT
iajs-1013	432	2	k  k.	PERSON
iajs-1013	436	1	n / l	EVENT
iajs-1013	436	2	k  k	PERSON
iajs-1013	441	1	n / l. then 	ORG
iajs-1013	447	1	2.1	CARDINAL
iajs-1013	448	1	3.7	CARDINAL
iajs-1013	448	2	two	CARDINAL
iajs-1013	450	1	n / l  	ORG
iajs-1013	451	1	n / l 	ORG
iajs-1013	451	2	3.6	CARDINAL
iajs-1013	452	1	f (n / l	EVENT
iajs-1013	452	2	f (n / l	LAW
iajs-1013	453	1	0	CARDINAL
iajs-1013	454	1	l  n	ORG
iajs-1013	454	2	f (n / l	EVENT
iajs-1013	454	3	0	CARDINAL
iajs-1013	454	4	f (n / l	ORG
iajs-1013	454	5	3.6	CARDINAL
iajs-1013	455	1	3.6	CARDINAL
iajs-1013	456	1	3.8	CARDINAL
iajs-1013	456	2	two	CARDINAL
iajs-1013	459	1	3.4	CARDINAL
iajs-1013	459	2	3.7	CARDINAL
iajs-1013	460	1	four	CARDINAL
iajs-1013	461	1	4.1	CARDINAL
iajs-1013	462	1	9	CARDINAL
iajs-1013	463	1	4	CARDINAL
iajs-1013	464	1	first	ORDINAL
iajs-1013	465	1	ibn alhaitham j.	PERSON
iajs-1013	466	1	sci.	ORG
iajs-1013	467	1	vol.23	PERSON
iajs-1013	467	2	1) 2010	CARDINAL
iajs-1013	471	1	n / k  m.	ORG
iajs-1013	472	1	n / k.	ORG
iajs-1013	473	1	6	CARDINAL
iajs-1013	474	1	n / k	FAC
iajs-1013	475	1	≈ l.	PERSON
iajs-1013	475	2	n / k	FAC
iajs-1013	478	1	n / k 	ORG
iajs-1013	480	1		PRODUCT
iajs-1013	480	2		DATE
iajs-1013	480	3	  	ORG
iajs-1013	482	1	h(n	PERSON
iajs-1013	483	1	h(n	PERSON
iajs-1013	483	2	0	CARDINAL
iajs-1013	483	3	h(n	PERSON
iajs-1013	484	1	0	CARDINAL
iajs-1013	484	2	h(n	PERSON
iajs-1013	484	3	1(b	CARDINAL
iajs-1013	484	4	n / k.	ORG
iajs-1013	485	1	n / k	FAC
iajs-1013	485	2	1(b	CARDINAL
iajs-1013	486	1	1(b	CARDINAL
iajs-1013	487	1	≈ b a.	PERSON
iajs-1013	488	1	4.3	CARDINAL
iajs-1013	492	1	m.	PERSON
iajs-1013	492	2	4.2	CARDINAL
iajs-1013	499	1	n / k	FAC
iajs-1013	499	2		PRODUCT
iajs-1013	500	1	n / k	ORG
iajs-1013	500	2	n / k	ORG
iajs-1013	501	1	4.2	CARDINAL
iajs-1013	503	1	4.4	CARDINAL
iajs-1013	507	1	3.5	CARDINAL
iajs-1013	507	2	4.2	CARDINAL
iajs-1013	508	1	m.	PERSON
iajs-1013	508	2	≈	CARDINAL
iajs-1013	512	1	4.2	CARDINAL
iajs-1013	513	1	ibn alhaitham j.	PERSON
iajs-1013	514	1	sci.	ORG
iajs-1013	515	1	vol.23	PERSON
iajs-1013	515	2	1) 2010	CARDINAL
iajs-1013	516	1		PRODUCT
iajs-1013	517	1	≈	CARDINAL
iajs-1013	517	2		PRODUCT
iajs-1013	518	1	a.	PERSON
iajs-1013	518	2	2.8	CARDINAL
iajs-1013	519	1	4.5	CARDINAL
iajs-1013	522	1	4.2	CARDINAL
iajs-1013	523	1	section five	LAW
iajs-1013	524	1	5.1	CARDINAL
iajs-1013	524	2	5.2	CARDINAL
iajs-1013	524	3	1	CARDINAL
iajs-1013	526	1	2	CARDINAL
iajs-1013	527	1	1.3	CARDINAL
iajs-1013	528	1	5.3	CARDINAL
iajs-1013	529	1	integer n. proof	PERSON
iajs-1013	533	1	+	CARDINAL
iajs-1013	533	2	1	CARDINAL
iajs-1013	533	3	2	DATE
iajs-1013	533	4	n  n	ORG
iajs-1013	534	1	r.	NORP
iajs-1013	536	1	2.3	CARDINAL
iajs-1013	538	1	5.4	CARDINAL
iajs-1013	539	1		DATE
iajs-1013	539	2		DATE
iajs-1013	541	1	1,2	CARDINAL
iajs-1013	542	1	n -quasi-injective	ORG
iajs-1013	543	1		DATE
iajs-1013	546	1		DATE
iajs-1013	548	1	5.4	CARDINAL
iajs-1013	548	2		DATE
iajs-1013	548	3	j(n	PERSON
iajs-1013	548	4	≈ m.	PERSON
iajs-1013	548	5	1	CARDINAL
iajs-1013	548	6	2	DATE
iajs-1013	548	7	first	ORDINAL
iajs-1013	549	1	ibn alhaitham j.	PERSON
iajs-1013	550	1	sci.	ORG
iajs-1013	551	1	vol.23	PERSON
iajs-1013	551	2	1) 2010	DATE
iajs-1013	557	1		DATE
iajs-1013	558	1		DATE
iajs-1013	559	1	1	CARDINAL
iajs-1013	559	2	2	DATE
iajs-1013	561	1	n -quasi-injective	ORG
iajs-1013	562	1	5.5	CARDINAL
iajs-1013	562	2	x1,x2,,xn	ORG
iajs-1013	562	3		DATE
iajs-1013	563	1	1	CARDINAL
iajs-1013	563	2	2	DATE
iajs-1013	563	3	5.6	CARDINAL
iajs-1013	563	4	n -quasi-injective	ORG
iajs-1013	565	1	1,2,,n	CARDINAL
iajs-1013	569	1	5.4	CARDINAL
iajs-1013	570	1	≈	CARDINAL
iajs-1013	570	2	1	CARDINAL
iajs-1013	570	3	2	DATE
iajs-1013	572	1	1	CARDINAL
iajs-1013	572	2	2	DATE
iajs-1013	574	1	1	CARDINAL
iajs-1013	574	2	2	DATE
iajs-1013	574	3	1	CARDINAL
iajs-1013	574	4	2	DATE
iajs-1013	575	1	0	CARDINAL
iajs-1013	581	1	1	CARDINAL
iajs-1013	581	2	2	DATE
iajs-1013	583	1	1	CARDINAL
iajs-1013	583	2	2	DATE
iajs-1013	583	3	5.4	CARDINAL
iajs-1013	584	1	5.3	CARDINAL
iajs-1013	584	2	5.6	CARDINAL
iajs-1013	585	1	5.7	CARDINAL
iajs-1013	587	1	1	CARDINAL
iajs-1013	587	2	2	DATE
iajs-1013	588	1	5.8	CARDINAL
iajs-1013	589	1	2	CARDINAL
iajs-1013	592	1	2	CARDINAL
iajs-1013	594	1	1	CARDINAL
iajs-1013	595	1	5.6	CARDINAL
iajs-1013	595	2		DATE
iajs-1013	595	3	1 	CARDINAL
iajs-1013	595	4	≈	CARDINAL
iajs-1013	596	1		DATE
iajs-1013	598	1	≈ m. therefore m	PERSON
iajs-1013	598	2	5.5	CARDINAL
iajs-1013	599	1	5.9	CARDINAL
iajs-1013	599	2	n -quasi-injective	ORG
iajs-1013	600	1	2	CARDINAL
iajs-1013	601	1	5.3	CARDINAL
iajs-1013	601	2	5.8	CARDINAL
iajs-1013	602	1	ibn alhaitham j.	PERSON
iajs-1013	603	1	sci.	ORG
iajs-1013	604	1	vol.23	PERSON
iajs-1013	604	2	1) 2010	CARDINAL
iajs-1013	604	3	1	CARDINAL
iajs-1013	604	4	jain	PERSON
iajs-1013	604	5	s. k.	PERSON
iajs-1013	604	6	lopes permonth	PERSON
iajs-1013	604	7	s. r.	PERSON
iajs-1013	604	8	1990	DATE
iajs-1013	604	9	marcel dekker	PERSON
iajs-1013	604	10	205	CARDINAL
iajs-1013	605	1	2	CARDINAL
iajs-1013	605	2	salih	PERSON
iajs-1013	605	3	m.	PERSON
iajs-1013	605	4	1999	DATE
iajs-1013	606	1	dep	GPE
iajs-1013	607	1	birzeit university	ORG
iajs-1013	607	2	14	CARDINAL
iajs-1013	607	3	glasqow m ath.	PERSON
iajs-1013	608	1	j.	PERSON
iajs-1013	608	2	41	CARDINAL
iajs-1013	608	3	43-44	DATE
iajs-1013	609	1	3	CARDINAL
iajs-1013	609	2	jain	ORG
iajs-1013	609	3	s. k.	PERSON
iajs-1013	609	4	lopez-p	ORG
iajs-1013	609	5	s. r.	PERSON
iajs-1013	609	6	1990	DATE
iajs-1013	609	7	128(1	CARDINAL
iajs-1013	609	8	208	CARDINAL
iajs-1013	609	9	4	CARDINAL
iajs-1013	610	1	kasch f.	PERSON
iajs-1013	610	2	1982	DATE
iajs-1013	610	3	london	GPE
iajs-1013	611	1	5	CARDINAL
iajs-1013	611	2	a. s.	PERSON
iajs-1013	611	3	1997	DATE
iajs-1013	611	4	ph.d	ORG
iajs-1013	612	1	university of baghdad	ORG
iajs-1013	613	1	6	CARDINAL
iajs-1013	613	2	1976	DATE
iajs-1013	613	3	berlin heidelberg	GPE
iajs-1013	613	4	new york	GPE
iajs-1013	614	1	7	CARDINAL
iajs-1013	614	2	somchit chotchasithit	PERSON
iajs-1013	614	3	2002	DATE
iajs-1013	614	4	south east	LOC
iajs-1013	614	5	asian	NORP
iajs-1013	614	6	26	CARDINAL
iajs-1013	614	7	391	CARDINAL
iajs-1013	614	8	8	CARDINAL
iajs-1013	615	1	goodearl	PERSON
iajs-1013	615	2	k. r.	PERSON
iajs-1013	615	3	1976	DATE
iajs-1013	615	4	marcel dekker	PERSON
iajs-1013	615	5	new york	GPE
iajs-1013	616	1	9	CARDINAL
iajs-1013	616	2	nicholson	PERSON
iajs-1013	616	3	w. k.	PERSON
iajs-1013	616	4	desale	ORG
iajs-1013	616	5	1981	DATE
iajs-1013	616	6	j. algebra	PERSON
iajs-1013	616	7	70	CARDINAL
iajs-1013	616	8	548560	CARDINAL
iajs-1013	617	1	2010	DATE
iajs-1013	617	2	1	CARDINAL
iajs-1013	617	3	مقاسات	PRODUCT
iajs-1013	617	4	، كریم صبر	GPE
iajs-1013	618	1	الخالصة	GPE
iajs-1013	619	1	احادیاً	PERSON
iajs-1013	620	1	أعطینا	DATE
iajs-1013	620	2	اغماري	PERSON
iajs-1013	621	1	اغماریة	PERSON
iajs-1013	621	2	 ان ، إذ	DATE
iajs-1013	621	3	xیوجد مقاس	PERSON
iajs-1013	621	4	، mاغماري	PERSON
iajs-1013	621	5	 ، إذ	DATE
iajs-1013	622	1	.mیمكن	ORG
iajs-1013	623	1	یغمر	ORG
iajs-1013	624	1	اغماري	PERSON
iajs-1013	625	1	للمقاسات	NORP
iajs-1013	625	2	االغماریة	PERSON
iajs-1013	625	3	، n	PERSON
iajs-1013	625	4	الى المقاسات	PERSON
iajs-1013	625	5	العالقة	ORG