id	sid	eid	entity	type
iajs-1816	1	1	microsoft	ORG
iajs-1816	1	2	426	CARDINAL
iajs-1816	1	3	2017	CARDINAL
iajs-1816	1	4	al-haitham	ORG
iajs-1816	1	5	http://www.ihsciconf.org/conf/	DATE
iajs-1816	1	6	buthainah_altai@scbaghdad.edu	GPE
iajs-1816	1	7	manar	GPE
iajs-1816	1	8	baghdad	GPE
iajs-1816	3	1	2017	CARDINAL
iajs-1816	3	2	al-haitham	ORG
iajs-1816	3	3	http://www.ihsciconf.org/conf/	DATE
iajs-1816	3	4	1	CARDINAL
iajs-1816	4	1	3]in	CARDINAL
iajs-1816	4	2	1965).after	CARDINAL
iajs-1816	5	1	4].in	CARDINAL
iajs-1816	5	2	2001	DATE
iajs-1816	6	1	1	CARDINAL
iajs-1816	6	2	g.[2][(1976	ORG
iajs-1816	9	1	2.1[3	CARDINAL
iajs-1816	10	1	∈	ORG
iajs-1816	11	1	0	CARDINAL
iajs-1816	11	2	1	CARDINAL
iajs-1816	12	1	1	CARDINAL
iajs-1816	13	1	1	CARDINAL
iajs-1816	13	2	∈	ORG
iajs-1816	14	1	f(h	ORG
iajs-1816	14	2	w(h	GPE
iajs-1816	15	1	∈ w h	ORG
iajs-1816	16	1	i. δ	PERSON
iajs-1816	16	2	∈	ORG
iajs-1816	16	3	∈	ORG
iajs-1816	19	1	d(a	PERSON
iajs-1816	22	1	∈ w h	ORG
iajs-1816	23	1	a⊂	NORP
iajs-1816	24	1	∈	ORG
iajs-1816	24	2	w(h	GPE
iajs-1816	25	1	∈	ORG
iajs-1816	26	1	⊂ tu	PERSON
iajs-1816	28	1	lemma δ	ORG
iajs-1816	28	2	∀ u	PERSON
iajs-1816	28	3	∈	ORG
iajs-1816	28	4	2017	CARDINAL
iajs-1816	28	5	al-haitham	ORG
iajs-1816	28	6	http://www.ihsciconf.org/conf/	DATE
iajs-1816	28	7	⊂	GPE
iajs-1816	28	8	∈ w h	ORG
iajs-1816	29	1	u ∈ h	ORG
iajs-1816	29	2	⊂	GPE
iajs-1816	29	3	0	CARDINAL
iajs-1816	30	1	w(h	GPE
iajs-1816	30	2	∈	ORG
iajs-1816	30	3	∈	ORG
iajs-1816	31	1	0	CARDINAL
iajs-1816	31	2	0 0	DATE
iajs-1816	32	1	first	ORDINAL
iajs-1816	34	1	0	CARDINAL
iajs-1816	34	2	1	CARDINAL
iajs-1816	35	1	∈	ORG
iajs-1816	35	2	0	CARDINAL
iajs-1816	35	3	1	CARDINAL
iajs-1816	35	4	⎧0	NORP
iajs-1816	35	5	0 s	ORG
iajs-1816	35	6	1	CARDINAL
iajs-1816	40	1	1	CARDINAL
iajs-1816	40	2	∈	ORG
iajs-1816	40	3	1	CARDINAL
iajs-1816	40	4	2017	CARDINAL
iajs-1816	40	5	al-haitham	ORG
iajs-1816	40	6	http://www.ihsciconf.org/conf/	DATE
iajs-1816	40	7	1	CARDINAL
iajs-1816	40	8	0 3α	PERCENT
iajs-1816	40	9	∈	ORG
iajs-1816	40	10	1	CARDINAL
iajs-1816	40	11	0	CARDINAL
iajs-1816	40	12	1	CARDINAL
iajs-1816	41	1	1	CARDINAL
iajs-1816	41	2	0	DATE
iajs-1816	41	3	1	CARDINAL
iajs-1816	42	1	1	CARDINAL
iajs-1816	42	2	0	CARDINAL
iajs-1816	42	3	0	CARDINAL
iajs-1816	42	4	1 0	DATE
iajs-1816	42	5	0	CARDINAL
iajs-1816	42	6	1 0	DATE
iajs-1816	42	7	1	DATE
iajs-1816	42	8	1	DATE
iajs-1816	43	1	0	CARDINAL
iajs-1816	43	2	∀ u	GPE
iajs-1816	43	3	∈	ORG
iajs-1816	43	4	0	CARDINAL
iajs-1816	43	5	∀ u	GPE
iajs-1816	43	6	∈	ORG
iajs-1816	43	7	0	CARDINAL
iajs-1816	43	8	∀ u	GPE
iajs-1816	46	1	1	CARDINAL
iajs-1816	47	1	2	CARDINAL
iajs-1816	47	2	m(h)⊂ n h .	ORG
iajs-1816	48	1	3	CARDINAL
iajs-1816	49	1	∈	ORG
iajs-1816	51	1	3,5	CARDINAL
iajs-1816	52	1	n u	GPE
iajs-1816	52	2	2017	CARDINAL
iajs-1816	52	3	al-haitham	ORG
iajs-1816	52	4	http://www.ihsciconf.org/conf/	DATE
iajs-1816	52	5	∈	ORG
iajs-1816	52	6	∈	ORG
iajs-1816	53	1	∈	ORG
iajs-1816	53	2	0	CARDINAL
iajs-1816	53	3	1	CARDINAL
iajs-1816	54	1	0	CARDINAL
iajs-1816	56	1	∈	ORG
iajs-1816	58	1	δ u	ORG
iajs-1816	60	1	δ u	GPE
iajs-1816	60	2	u ⊂ nu	ORG
iajs-1816	61	1	1	CARDINAL
iajs-1816	61	2	m. ∎ theorem	PERSON
iajs-1816	62	1	1	CARDINAL
iajs-1816	62	2	max	PERSON
iajs-1816	62	3	m(u	PERSON
iajs-1816	63	1	2 2	DATE
iajs-1816	65	1	3	CARDINAL
iajs-1816	66	1	⊂	GPE
iajs-1816	67	1	4	CARDINAL
iajs-1816	68	1	∈	ORG
iajs-1816	71	1	3,5	CARDINAL
iajs-1816	72	1	∈	ORG
iajs-1816	72	2	u ⊂ nu	ORG
iajs-1816	72	3	n u d n u	GPE
iajs-1816	72	4	1	CARDINAL
iajs-1816	72	5	n u	GPE
iajs-1816	72	6	max	PERSON
iajs-1816	72	7	u m u	ORG
iajs-1816	73	1	2	CARDINAL
iajs-1816	73	2	2017	CARDINAL
iajs-1816	73	3	al-haitham	ORG
iajs-1816	73	4	http://www.ihsciconf.org/conf/	DATE
iajs-1816	73	5	u u ‖ ,	PERSON
iajs-1816	73	6	2	CARDINAL
iajs-1816	73	7	u u ‖ , ‖ ‖	PERSON
iajs-1816	73	8	2	CARDINAL
iajs-1816	73	9	max	PERSON
iajs-1816	73	10	u ‖ , ‖ ‖ , ‖ ‖ ‖ u	ORG
iajs-1816	74	1	n u ‖ u u ‖ ψ ‖ u u ‖ .	ORG
iajs-1816	77	1	max	PERSON
iajs-1816	77	2	u m u	ORG
iajs-1816	78	1	2	CARDINAL
iajs-1816	79	1	δ u	ORG
iajs-1816	80	1	δ u	GPE
iajs-1816	80	2	u ⊂ nu	ORG
iajs-1816	80	3	2017	CARDINAL
iajs-1816	80	4	al-haitham	ORG
iajs-1816	80	5	http://www.ihsciconf.org/conf/	DATE
iajs-1816	80	6	1	CARDINAL
iajs-1816	80	7	s. ∎ theorem	PERSON
iajs-1816	80	8	n , n	ORG
iajs-1816	80	9	1	CARDINAL
iajs-1816	80	10	∈	ORG
iajs-1816	80	11	γ	GPE
iajs-1816	80	12	η	GPE
iajs-1816	80	13	γ η	ORG
iajs-1816	80	14	1	CARDINAL
iajs-1816	81	1	2	CARDINAL
iajs-1816	82	1	3	CARDINAL
iajs-1816	82	2	h ∩ n h	ORG
iajs-1816	83	1	4	CARDINAL
iajs-1816	84	1	∈	ORG
iajs-1816	84	2	n , n and n	ORG
iajs-1816	85	1	⊂	GPE
iajs-1816	86	1	n= 1,	DATE
iajs-1816	86	2	3	DATE
iajs-1816	86	3	5	DATE
iajs-1816	86	4	⊂	GPE
iajs-1816	87	1	n u d n u	GPE
iajs-1816	87	2	1	CARDINAL
iajs-1816	87	3	n u γ d n u	GPE
iajs-1816	87	4	n u ‖ u u ‖ β ‖ u u ‖ ξ ‖ u u ‖ λ ‖ u u ‖ γ ‖ u u ‖ η ‖ u u ‖ hence ‖ u u ‖ ξ ‖ u u ‖ η ‖ u u ‖ β ‖ u u ‖ ‖ u u ‖ ‖ u u ‖ .	ORG
iajs-1816	88	1	1	CARDINAL
iajs-1816	88	2	2017	CARDINAL
iajs-1816	88	3	al-haitham	ORG
iajs-1816	88	4	http://www.ihsciconf.org/conf/	DATE
iajs-1816	89	1	u ‖ ‖u u ‖	ORG
iajs-1816	89	2	n u	GPE
iajs-1816	89	3	n u	GPE
iajs-1816	89	4	n u γ d n u	GPE
iajs-1816	91	1	δ u	ORG
iajs-1816	92	1	δ u	GPE
iajs-1816	92	2	u ⊂ nu	ORG
iajs-1816	93	1	1	CARDINAL
iajs-1816	93	2	n , n and n	ORG
iajs-1816	94	1	n , n	ORG
iajs-1816	94	2	1	CARDINAL
iajs-1816	97	1	n u γ ‖v	GPE
iajs-1816	97	2	∈	ORG
iajs-1816	97	3	0	CARDINAL
iajs-1816	97	4	2γ	CARDINAL
iajs-1816	97	5	2β	CARDINAL
iajs-1816	97	6	2ξ 1	CARDINAL
iajs-1816	98	1	2	CARDINAL
iajs-1816	99	1	3	CARDINAL
iajs-1816	99	2	h ∩ n h	ORG
iajs-1816	100	1	2017	CARDINAL
iajs-1816	100	2	al-haitham	ORG
iajs-1816	100	3	http://www.ihsciconf.org/conf/	DATE
iajs-1816	102	1	∈	ORG
iajs-1816	102	2	n , n and n	ORG
iajs-1816	103	1	3.7	CARDINAL
iajs-1816	103	2	h→ w h	ORG
iajs-1816	104	1	0	CARDINAL
iajs-1816	104	2	1	CARDINAL
iajs-1816	105	1	1	CARDINAL
iajs-1816	106	1	2	CARDINAL
iajs-1816	107	1	n(h)⊂ m h .	ORG
iajs-1816	108	1	3	CARDINAL
iajs-1816	109	1	∈	ORG
iajs-1816	110	1	h→ w h	ORG
iajs-1816	111	1	0	CARDINAL
iajs-1816	111	2	1	CARDINAL
iajs-1816	112	1	1	CARDINAL
iajs-1816	113	1	2	CARDINAL
iajs-1816	114	1	n(h)⊂ m h .	ORG
iajs-1816	115	1	3	CARDINAL
iajs-1816	116	1	∈	ORG
iajs-1816	117	1	h→ w h	ORG
iajs-1816	118	1	0	CARDINAL
iajs-1816	118	2	1	CARDINAL
iajs-1816	118	3	∈	ORG
iajs-1816	118	4	max	PERSON
iajs-1816	118	5	‖u v‖	PERSON
iajs-1816	120	1	2	CARDINAL
iajs-1816	120	2	2017	CARDINAL
iajs-1816	120	3	al-haitham	ORG
iajs-1816	120	4	http://www.ihsciconf.org/conf/	DATE
iajs-1816	120	5	1	CARDINAL
iajs-1816	121	1	2	CARDINAL
iajs-1816	122	1	n(h)⊂ m h .	ORG
iajs-1816	123	1	3	CARDINAL
iajs-1816	124	1	∈	ORG
iajs-1816	125	1	1	CARDINAL
iajs-1816	126	1	univ	NORP
iajs-1816	128	1	2	CARDINAL
iajs-1816	128	2	the american mathematical monthly,.83.	ORG
iajs-1816	129	1	261	CARDINAL
iajs-1816	130	1	3	CARDINAL
iajs-1816	131	1	4	CARDINAL
iajs-1816	132	1	566-569	CARDINAL
iajs-1816	132	2	1981	DATE