id	sid	eid	entity	type
iajs-1822	1	1	microsoft	ORG
iajs-1822	1	2	500-509	CARDINAL
iajs-1822	1	3	2017	CARDINAL
iajs-1822	1	4	al-haitham	ORG
iajs-1822	1	5	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	1	6	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	1	7	www.ihsciconf.org	CARDINAL
iajs-1822	1	8	salwa salman abed	PERSON
iajs-1822	2	1	al-haitham	ORG
iajs-1822	2	2	baghdad	GPE
iajs-1822	3	1	baghdad	GPE
iajs-1822	4	1	two	CARDINAL
iajs-1822	6	1	2017	CARDINAL
iajs-1822	6	2	al-haitham	ORG
iajs-1822	6	3	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	6	4	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	6	5	1	CARDINAL
iajs-1822	8	1	2	CARDINAL
iajs-1822	8	2	3	CARDINAL
iajs-1822	8	3	dotson	PERSON
iajs-1822	8	4	invariant approximation	ORG
iajs-1822	9	1	4	CARDINAL
iajs-1822	10	1	abdul sada	PERSON
iajs-1822	11	1	5	CARDINAL
iajs-1822	11	2	invariant approximation	ORG
iajs-1822	11	3	two	CARDINAL
iajs-1822	12	1	2	CARDINAL
iajs-1822	12	2	3	CARDINAL
iajs-1822	12	3	4	CARDINAL
iajs-1822	13	1	1.1)[5	CARDINAL
iajs-1822	13	2	let𝑀	ORG
iajs-1822	14	1	i.𝛾 𝑣 0if	ORG
iajs-1822	14	2	0	DATE
iajs-1822	14	3	1	CARDINAL
iajs-1822	14	4	0	CARDINAL
iajs-1822	14	5	0	CARDINAL
iajs-1822	14	6	1	CARDINAL
iajs-1822	15	1	1.2	CARDINAL
iajs-1822	16	1	6	CARDINAL
iajs-1822	16	2	𝑀 𝑣 ∈ 𝑀	ORG
iajs-1822	16	3	0 𝑤ℎ𝑒𝑛𝑒𝑣𝑒𝑟	PERCENT
iajs-1822	16	4	0	CARDINAL
iajs-1822	18	1	0	CARDINAL
iajs-1822	19	1	1.3[6	CARDINAL
iajs-1822	19	2	0	CARDINAL
iajs-1822	21	1	4	CARDINAL
iajs-1822	22	1	1.5[6	CARDINAL
iajs-1822	23	1	-𝑣	ORG
iajs-1822	24	1	∈ 𝑀	ORG
iajs-1822	24	2	⊂𝐵	PERSON
iajs-1822	25	1	2017	CARDINAL
iajs-1822	25	2	al-haitham	ORG
iajs-1822	25	3	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	25	4	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	25	5	1.6	CARDINAL
iajs-1822	26	1	𝐴 ⊆	ORG
iajs-1822	26	2	𝑆	ORG
iajs-1822	26	3	∃ h ∈ 0	ORG
iajs-1822	26	4	1	CARDINAL
iajs-1822	27	1	𝑆𝑣 𝑆𝑢	PERSON
iajs-1822	28	1	1.7	CARDINAL
iajs-1822	28	2	𝑆	ORG
iajs-1822	28	3	1	CARDINAL
iajs-1822	28	4	𝑆𝑣 𝑆𝑢	PERSON
iajs-1822	28	5	𝑀	GPE
iajs-1822	29	1	1	CARDINAL
iajs-1822	29	2	1.7	CARDINAL
iajs-1822	29	3	𝑃ــ	PERSON
iajs-1822	30	1	1.8	CARDINAL
iajs-1822	30	2	0	DATE
iajs-1822	30	3	affine	ORG
iajs-1822	30	4	∀𝑣	ORG
iajs-1822	30	5	0	CARDINAL
iajs-1822	30	6	1	CARDINAL
iajs-1822	30	7	1	CARDINAL
iajs-1822	31	1	1.9	CARDINAL
iajs-1822	31	2	two	CARDINAL
iajs-1822	34	1	2	CARDINAL
iajs-1822	34	2	linear	ORG
iajs-1822	36	1	linear	ORG
iajs-1822	38	1	2.1	CARDINAL
iajs-1822	38	2	𝑃𝑣 ∶ 𝛾 𝑣 1	ORG
iajs-1822	38	3	i. 𝜸 𝛼𝑃	PERSON
iajs-1822	38	4	1 ii	QUANTITY
iajs-1822	39	1	𝜸 𝛼𝑃	PERSON
iajs-1822	39	2	𝜸	PERSON
iajs-1822	39	3	0	CARDINAL
iajs-1822	39	4	0	CARDINAL
iajs-1822	40	1	sup	CARDINAL
iajs-1822	40	2	𝛼𝑃𝑣	CARDINAL
iajs-1822	41	1	𝜸 𝛼𝑃	PERSON
iajs-1822	41	2	𝛼𝑃𝑣	CARDINAL
iajs-1822	41	3	𝑃𝑣 𝛾 𝑄𝑣	WORK_OF_ART
iajs-1822	42	1	𝑄𝑣	PERSON
iajs-1822	42	2	2017	CARDINAL
iajs-1822	42	3	al-haitham	ORG
iajs-1822	42	4	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	42	5	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	42	6	0	CARDINAL
iajs-1822	42	7	𝑃𝑣 ∶ 𝛾 𝑣 1	ORG
iajs-1822	42	8	0	CARDINAL
iajs-1822	43	1		ORG
iajs-1822	43	2	0 𝑤ℎ𝑒𝑛𝑒𝑣𝑒𝑟	PERCENT
iajs-1822	43	3	0	CARDINAL
iajs-1822	43	4	2.2	CARDINAL
iajs-1822	43	5		ORG
iajs-1822	45	1	𝑆	ORG
iajs-1822	45	2	|𝑆 𝑣 𝑆 𝑣|	PERSON
iajs-1822	46	1	2.1	CARDINAL
iajs-1822	46	2	∈	ORG
iajs-1822	46	3	∈ ∈	ORG
iajs-1822	46	4	∈	ORG
iajs-1822	46	5	∈	ORG
iajs-1822	47	1	2.1	CARDINAL
iajs-1822	47	2	|𝑆 𝑣 𝑆 𝑣|	PERSON
iajs-1822	47	3	∈	ORG
iajs-1822	47	4	𝑆 𝑣	ORG
iajs-1822	47	5	𝑆 𝑣	ORG
iajs-1822	47	6	𝑟.	GPE
iajs-1822	47	7	∈	ORG
iajs-1822	48	1	𝑆	ORG
iajs-1822	48	2	𝜸 𝑆 𝑆	PERSON
iajs-1822	48	3	𝟢.	CARDINAL
iajs-1822	48	4	2.1	CARDINAL
iajs-1822	49	1	2.2	CARDINAL
iajs-1822	50	1	𝑆	ORG
iajs-1822	50	2	𝑆 𝑆 𝑆 𝑆	PERSON
iajs-1822	50	3		ORG
iajs-1822	51	1	2.2	CARDINAL
iajs-1822	51	2	𝜸 𝑆 𝑆	PERSON
iajs-1822	51	3	𝟢.	CARDINAL
iajs-1822	52	1	2.3	CARDINAL
iajs-1822	52	2	 lim	PERSON
iajs-1822	52	3	𝑃𝑣 𝑃𝑣 0	ORG
iajs-1822	53	1	𝑣 → 𝑣.	ORG
iajs-1822	53	2	2017	CARDINAL
iajs-1822	53	3	al-haitham	ORG
iajs-1822	53	4	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	53	5	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	53	6	2.4	CARDINAL
iajs-1822	54	1	𝑃 𝛾 𝑣 𝑣 → 0	ORG
iajs-1822	55	1	2.4	CARDINAL
iajs-1822	56	1	2.5	CARDINAL
iajs-1822	57	1	i.	PERSON
iajs-1822	61	1	p∈	ORG
iajs-1822	62	1	𝑃 𝑣 𝑃 𝑢 𝑃 𝑣 𝑢 𝟢.this implies	ORG
iajs-1822	65	1	2.6	CARDINAL
iajs-1822	66	1	2.7	CARDINAL
iajs-1822	66	2	two	CARDINAL
iajs-1822	67	1	i. 𝑆	PERSON
iajs-1822	69	1	𝑆	PERSON
iajs-1822	70	1	2.8	CARDINAL
iajs-1822	70	2	𝐴⊆𝑀	FAC
iajs-1822	70	3	𝑆	ORG
iajs-1822	70	4	𝑣 ∈ 𝐴	ORG
iajs-1822	70	5	𝑣 → 𝑣 and 𝑣	ORG
iajs-1822	70	6	2.9	CARDINAL
iajs-1822	70	7	∈	ORG
iajs-1822	70	8	lim	PERSON
iajs-1822	70	9	𝑣 𝑣 lim	ORG
iajs-1822	70	10	𝑖𝑛𝑓𝛾	PERSON
iajs-1822	70	11	2017	CARDINAL
iajs-1822	70	12	al-haitham	ORG
iajs-1822	70	13	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	70	14	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	70	15	3	CARDINAL
iajs-1822	71	1	12	CARDINAL
iajs-1822	72	1	3.1	CARDINAL
iajs-1822	72	2	𝑆 𝑀 ⊆	ORG
iajs-1822	72	3	∃	ORG
iajs-1822	72	4	γ 𝑃 𝑣	ORG
iajs-1822	74	1	𝑆 𝑀 ⊆	ORG
iajs-1822	78	1	3.2	DATE
iajs-1822	79	1	1 ℎ 𝑣 ℎ𝑆𝑢	CARDINAL
iajs-1822	79	2	1	CARDINAL
iajs-1822	79	3	∈ 𝑀	PERSON
iajs-1822	79	4	∈	ORG
iajs-1822	80	1	3.3	CARDINAL
iajs-1822	80	2	∅ 𝐴	ORG
iajs-1822	81	1	affine	ORG
iajs-1822	81	2	𝑃non	ORG
iajs-1822	81	3	𝐹 𝑆 ∩ 𝐹	PERSON
iajs-1822	81	4	𝐴	ORG
iajs-1822	81	5	𝐴 → 𝐴	ORG
iajs-1822	81	6	𝑢 ∈ 𝐴	ORG
iajs-1822	81	7	𝟶	CARDINAL
iajs-1822	81	8	1	CARDINAL
iajs-1822	81	9	1 ℎ	QUANTITY
iajs-1822	82	1	𝑆 ∶ 𝐴 → 𝐴.	ORG
iajs-1822	82	2	𝑆 𝐴 ⊆ 𝐴	ORG
iajs-1822	82	3	𝑆 𝐴 ⊆	ORG
iajs-1822	83	1	affine	ORG
iajs-1822	84	1	1 ℎ	QUANTITY
iajs-1822	85	1	𝑃𝑆	GPE
iajs-1822	85	2	𝑃non	ORG
iajs-1822	85	3	2017	CARDINAL
iajs-1822	85	4	al-haitham	ORG
iajs-1822	85	5	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	85	6	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	85	7	𝑃contraction	PERSON
iajs-1822	86	1	3.1	CARDINAL
iajs-1822	87	1	𝐴	ORG
iajs-1822	87	2	∈	ORG
iajs-1822	87	3	affine	ORG
iajs-1822	87	4	𝑃𝑣 𝑣	ORG
iajs-1822	89	1	𝐴	ORG
iajs-1822	89	2	𝐹 𝑆 ∩ 𝐹	PERSON
iajs-1822	90	1	3.4	CARDINAL
iajs-1822	90	2	let∅ 𝐴	ORG
iajs-1822	91	1	affine	ORG
iajs-1822	91	2	𝐴 → 𝐴	ORG
iajs-1822	91	3	𝑃nonihsciconf 2017	ORG
iajs-1822	91	4	al-haitham	ORG
iajs-1822	91	5	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	91	6	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	91	7	𝐴	ORG
iajs-1822	91	8	𝐹 𝑆 ∩ 𝐹	PERSON
iajs-1822	91	9	𝐴	ORG
iajs-1822	91	10	𝑆:𝐴→ 𝐴	PERSON
iajs-1822	91	11	𝑢 ∈ 𝐴	ORG
iajs-1822	91	12	𝟶	CARDINAL
iajs-1822	91	13	1	CARDINAL
iajs-1822	92	1	𝐴 → 𝐴.	ORG
iajs-1822	92	2	𝑆 𝐴 ⊆ 𝐴	ORG
iajs-1822	92	3	𝑆 𝐴 ⊆	ORG
iajs-1822	93	1	affine	ORG
iajs-1822	95	1	1 ℎ	QUANTITY
iajs-1822	96	1	𝑃𝑆	GPE
iajs-1822	97	1	𝑃𝑣 𝑃𝑢 ∀ 𝑢∈	ORG
iajs-1822	97	2	𝑃contraction	PERSON
iajs-1822	98	1	3.1	CARDINAL
iajs-1822	99	1	𝐴	ORG
iajs-1822	99	2	∈	ORG
iajs-1822	99	3	affine	ORG
iajs-1822	99	4	𝑆𝑣	PERSON
iajs-1822	101	1	2017	CARDINAL
iajs-1822	101	2	al-haitham	ORG
iajs-1822	101	3	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	101	4	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	101	5	www.ihsciconf.org	CARDINAL
iajs-1822	103	1	𝐴	ORG
iajs-1822	103	2	𝐴	ORG
iajs-1822	103	3	lim	PERSON
iajs-1822	103	4	𝑖𝑛𝑓𝛾	PERSON
iajs-1822	103	5	𝑣 𝑣𝟶 lim → inf 𝛾 𝑣 𝑆𝑣𝟶 lim → inf 𝛾	ORG
iajs-1822	104	1	lim	PERSON
iajs-1822	104	2	𝑖𝑛𝑓𝛾	PERSON
iajs-1822	104	3	𝑣 𝑣𝟶 lim → inf	ORG
iajs-1822	104	4	lim	PERSON
iajs-1822	106	1	∈ 𝐹 𝑆 ∩ 𝐹	PERSON
iajs-1822	107	1	1	CARDINAL
iajs-1822	107	2	w. g.	PERSON
iajs-1822	107	3	j. london	PERSON
iajs-1822	108	1	4(2	CARDINAL
iajs-1822	109	1	408-410	CARDINAL
iajs-1822	109	2	1972	DATE
iajs-1822	109	3	2	CARDINAL
iajs-1822	109	4	j. math	PERSON
iajs-1822	111	1	1974	DATE
iajs-1822	111	2	445457	DATE
iajs-1822	111	3	j. math.phys	PERSON
iajs-1822	111	4	sci	ORG
iajs-1822	111	5	9	CARDINAL
iajs-1822	111	6	195,1975	CARDINAL
iajs-1822	112	1	3	CARDINAL
iajs-1822	112	2	l. habiniak	PERSON
iajs-1822	112	3	j. approx	PERSON
iajs-1822	113	1	56	DATE
iajs-1822	114	1	241-244,1989	CARDINAL
iajs-1822	115	1	4	CARDINAL
iajs-1822	115	2	13	CARDINAL
iajs-1822	116	1	9	CARDINAL
iajs-1822	117	1	5227-5233	DATE
iajs-1822	117	2	2017	DATE
iajs-1822	118	1	5	CARDINAL
iajs-1822	118	2	k.a.	PERSON
iajs-1822	118	3	abdul sada	PERSON
iajs-1822	119	1	j.	PERSON
iajs-1822	120	1	hikari ltd.	ORG
iajs-1822	120	2	11	DATE
iajs-1822	120	3	18	DATE
iajs-1822	120	4	877	CARDINAL
iajs-1822	120	5	882	CARDINAL
iajs-1822	121	1	6	CARDINAL
iajs-1822	121	2	s.s.	PERSON
iajs-1822	121	3	abdul sada	PERSON
iajs-1822	123	1	scie	ORG
iajs-1822	124	1	coll	PERSON
iajs-1822	124	2	nahrain university	ORG
iajs-1822	125	1	2017	CARDINAL
iajs-1822	125	2	al-haitham	ORG
iajs-1822	125	3	10.30526/2017.ihsciconf.1822	DATE
iajs-1822	125	4	http://www.ihsciconf.org/conf/	PERSON
iajs-1822	126	1	7	CARDINAL
iajs-1822	126	2	s.s.	PERSON
iajs-1822	126	3	abdul sada	PERSON
iajs-1822	126	4	k.a.	GPE
iajs-1822	127	1	j.	PERSON
iajs-1822	128	1	appli	PERSON
iajs-1822	129	1	8	CARDINAL
iajs-1822	129	2	a.p	GPE
iajs-1822	129	3	mohammadi	PERSON
iajs-1822	129	4	m.b.	GPE
iajs-1822	129	5	noor	PERSON
iajs-1822	129	6	ma	PERSON
iajs-1822	131	1	commun	PERSON
iajs-1822	132	1	16	CARDINAL
iajs-1822	132	2	13-20, 2011	DATE
iajs-1822	132	3	9	CARDINAL
iajs-1822	132	4	k. kuaket	PERSON
iajs-1822	132	5	p. kumam	PERSON
iajs-1822	135	1	24,1795-1798(2011	CARDINAL
iajs-1822	136	1	https://doi.org/10.1016/j.aml.2011.04.035	DATE
iajs-1822	137	1	10	CARDINAL
iajs-1822	137	2	marwan a. kutbi	PERSON
iajs-1822	137	3	latif, a.	PERSON
iajs-1822	139	1	2009	DATE
iajs-1822	139	2	doi:10.1155/2009/786357	PERSON
iajs-1822	140	1	11	CARDINAL
iajs-1822	140	2	w.	PERSON
iajs-1822	140	3	kumam	PERSON
iajs-1822	141	1	2011	DATE
iajs-1822	141	2	2011:93	DATE
iajs-1822	142	1	12	CARDINAL
iajs-1822	142	2	w.	PERSON
iajs-1822	142	3	p. kumam	PERSON
iajs-1822	143	1	2011	DATE
iajs-1822	143	2	2012	DATE
