id	sid	eid	entity	type
iajs-2767	1	1	37	CARDINAL
iajs-2767	1	2	4.0	CARDINAL
iajs-2767	2	1	σ	ORG
iajs-2767	2	2	σ	ORG
iajs-2767	3	1	first	ORDINAL
iajs-2767	3	2	𝒳∗	ORG
iajs-2767	3	3	σ	ORG
iajs-2767	3	4	𝒳∗	ORG
iajs-2767	5	1	σ	ORG
iajs-2767	5	2	σ	ORG
iajs-2767	5	3	𝒳∗	ORG
iajs-2767	5	4	𝒳∗	ORG
iajs-2767	8	1	σ	ORG
iajs-2767	8	2	σ	ORG
iajs-2767	9	1	1	CARDINAL
iajs-2767	11	1	one	CARDINAL
iajs-2767	14	1	σ	ORG
iajs-2767	15	1	2019	DATE
iajs-2767	15	2	ahmed	PERSON
iajs-2767	16	1	1	CARDINAL
iajs-2767	16	2	σ	ORG
iajs-2767	18	1	σ	ORG
iajs-2767	18	2	al haitham	ORG
iajs-2767	18	3	applied sciences journal	ORG
iajs-2767	18	4	10.30526/35.2.2767	CARDINAL
iajs-2767	18	5	5	CARDINAL
iajs-2767	18	6	january	DATE
iajs-2767	18	7	2022	CARDINAL
iajs-2767	18	8	january	DATE
iajs-2767	18	9	2022	CARDINAL
iajs-2767	18	10	april 2022	DATE
iajs-2767	19	1	ibrahim s. ahmed mathematical	PERSON
iajs-2767	19	2	ibrahim1992@tu.edu.iq hassan h. ebrahim mathematical	PERSON
iajs-2767	19	3	hassan1962pl@tu.edu.iq ali al-fayadh	PERSON
iajs-2767	19	4	ibn al-haitham jour	PERSON
iajs-2767	21	1	sci	ORG
iajs-2767	22	1	53	CARDINAL
iajs-2767	22	2	38	DATE
iajs-2767	22	3	2	CARDINAL
iajs-2767	23	1	1965	DATE
iajs-2767	23	2	7	CARDINAL
iajs-2767	23	3	ω	ORDINAL
iajs-2767	24	1	0	CARDINAL
iajs-2767	24	2	1	CARDINAL
iajs-2767	24	3	f. brown	PERSON
iajs-2767	25	1	8	CARDINAL
iajs-2767	25	2	9	CARDINAL
iajs-2767	25	3	two	CARDINAL
iajs-2767	25	4	two	CARDINAL
iajs-2767	26	1	ahmed et al	PERSON
iajs-2767	27	1	10	CARDINAL
iajs-2767	27	2	σ	ORG
iajs-2767	27	3	ℋ∗	ORG
iajs-2767	27	4	𝒳∗	CARDINAL
iajs-2767	27	5	1	CARDINAL
iajs-2767	27	6	ω	ORDINAL
iajs-2767	27	7	∀𝜔	PERSON
iajs-2767	28	1	2.if	CARDINAL
iajs-2767	29	1	ek ∞ 𝑘=1 ∈ ℋ∗.	PERSON
iajs-2767	29	2	3	CARDINAL
iajs-2767	29	3	ℋ∗	ORG
iajs-2767	29	4	𝒳∗.	ORG
iajs-2767	29	5	σ	ORG
iajs-2767	29	6	σ	ORG
iajs-2767	31	1	2	CARDINAL
iajs-2767	32	1	2.1	CARDINAL
iajs-2767	32	2	3	CARDINAL
iajs-2767	32	3	σ	ORG
iajs-2767	32	4	1.if	CARDINAL
iajs-2767	33	1	2.if	CARDINAL
iajs-2767	33	2	⋃	DATE
iajs-2767	34	1	2.2	CARDINAL
iajs-2767	34	2	1	CARDINAL
iajs-2767	34	3	1.𝒳	CARDINAL
iajs-2767	35	1	2.if	CARDINAL
iajs-2767	36	1	3.if	CARDINAL
iajs-2767	36	2	⋃	DATE
iajs-2767	36	3	2.3	CARDINAL
iajs-2767	37	1	5	CARDINAL
iajs-2767	38	1	2.4	CARDINAL
iajs-2767	38	2	8	CARDINAL
iajs-2767	39	1	𝒫∗(𝒳	DATE
iajs-2767	40	1	∅∗	PERSON
iajs-2767	40	2	ω	ORDINAL
iajs-2767	41	1	∀𝜔	PERSON
iajs-2767	42	1	𝒳∗	CARDINAL
iajs-2767	42	2	𝒳∗	CARDINAL
iajs-2767	43	1	ω	ORDINAL
iajs-2767	43	2	1	CARDINAL
iajs-2767	43	3	∀𝜔	PERSON
iajs-2767	44	1	2.5	CARDINAL
iajs-2767	45	1	two	CARDINAL
iajs-2767	45	2	max	PERSON
iajs-2767	45	3	{𝓋f(𝜔	PERSON
iajs-2767	45	4	ibn al-haitham jour	PERSON
iajs-2767	47	1	sci	ORG
iajs-2767	48	1	53	CARDINAL
iajs-2767	48	2	⇔ g	PERSON
iajs-2767	48	3	ω	ORDINAL
iajs-2767	48	4	max	PERSON
iajs-2767	48	5	{𝓋f(𝜔	PERSON
iajs-2767	50	1	2.6	CARDINAL
iajs-2767	52	1	two	CARDINAL
iajs-2767	52	2	{𝓋f(𝜔	PERSON
iajs-2767	52	3	f⋂e ⇔	WORK_OF_ART
iajs-2767	52	4	ω	ORDINAL
iajs-2767	52	5	{𝓋f(𝜔	PERSON
iajs-2767	54	1	2.7	CARDINAL
iajs-2767	54	2	9	CARDINAL
iajs-2767	54	3	𝒳.	PRODUCT
iajs-2767	54	4	fc	ORG
iajs-2767	54	5	ω	ORDINAL
iajs-2767	54	6	1	CARDINAL
iajs-2767	54	7	− 𝓋f(𝜔	PERSON
iajs-2767	56	1	2.8	CARDINAL
iajs-2767	56	2	10	CARDINAL
iajs-2767	57	1	3	CARDINAL
iajs-2767	58	1	3.1	CARDINAL
iajs-2767	58	2	σ	ORG
iajs-2767	58	3	𝒳∗	CARDINAL
iajs-2767	58	4	4	CARDINAL
iajs-2767	59	1	∅∗ ∈ ℋ∗. 5.if	PERSON
iajs-2767	59	2	⋃	DATE
iajs-2767	59	3	3.2	CARDINAL
iajs-2767	59	4	𝒳∗	CARDINAL
iajs-2767	59	5	ℋ∗	ORG
iajs-2767	60	1	σ	ORG
iajs-2767	60	2	𝒳∗	ORG
iajs-2767	60	3	ℋ∗	ORG
iajs-2767	60	4	σ	ORG
iajs-2767	61	1	3.1	CARDINAL
iajs-2767	61	2	∅∗	PERSON
iajs-2767	61	3	𝒫∗(𝒳	DATE
iajs-2767	61	4	σ	ORG
iajs-2767	61	5	𝒳∗	CARDINAL
iajs-2767	62	1	3.2	CARDINAL
iajs-2767	62	2	ℋ∗	CARDINAL
iajs-2767	63	1	𝒳∗	CARDINAL
iajs-2767	63	2	1,2	CARDINAL
iajs-2767	64	1	∅∗	PERSON
iajs-2767	64	2	𝒳∗	CARDINAL
iajs-2767	67	1	∈	ORG
iajs-2767	67	2	f\e	PERSON
iajs-2767	67	3	∈	ORG
iajs-2767	67	4	f\e	PERSON
iajs-2767	67	5	1,2	CARDINAL
iajs-2767	67	6	ω	ORDINAL
iajs-2767	67	7	⋃ ek ∞ 𝑘=1	PERSON
iajs-2767	68	1	ω	ORDINAL
iajs-2767	68	2	𝓋e1 (ω	ORG
iajs-2767	68	3	𝓋e2 (ω	ORG
iajs-2767	68	4	𝓋e3	PERSON
iajs-2767	68	5	ω	ORDINAL
iajs-2767	68	6	ω	ORDINAL
iajs-2767	68	7	⋃ ek ∞ 𝑘=1 ∈ ℋ	PERSON
iajs-2767	68	8	ℋ∗	ORG
iajs-2767	68	9	σ	ORG
iajs-2767	68	10	𝒳∗	ORG
iajs-2767	68	11	𝒳∗	CARDINAL
iajs-2767	68	12	ℋ∗	ORG
iajs-2767	68	13	σ	ORG
iajs-2767	69	1	ibn al-haitham jour	PERSON
iajs-2767	70	1	sci	ORG
iajs-2767	71	1	53	CARDINAL
iajs-2767	71	2	40	CARDINAL
iajs-2767	71	3	3.3	CARDINAL
iajs-2767	71	4	ℋ∗	CARDINAL
iajs-2767	73	1	ℋ∗	ORG
iajs-2767	73	2	σ	ORG
iajs-2767	73	3	𝒳∗	CARDINAL
iajs-2767	73	4	0.3	CARDINAL
iajs-2767	73	5	0.3	CARDINAL
iajs-2767	73	6	0.4	CARDINAL
iajs-2767	73	7	⋃	DATE
iajs-2767	73	8	0.4	CARDINAL
iajs-2767	73	9	0.4	CARDINAL
iajs-2767	73	10	0.2	CARDINAL
iajs-2767	74	1	𝑎,0.4),(𝑏,0.4),(c,0.4)}∉ ℋ∗.	NORP
iajs-2767	74	2	3.1	CARDINAL
iajs-2767	74	3	∗}i∈ι	ORG
iajs-2767	74	4	σ	ORG
iajs-2767	74	5	𝒳∗	CARDINAL
iajs-2767	75	1	ℋi ∗ i∈ι	PERSON
iajs-2767	75	2	σ	ORG
iajs-2767	75	3	𝒳∗.	ORG
iajs-2767	75	4	σ	ORG
iajs-2767	75	5	∅∗ ≠ e	PERSON
iajs-2767	75	6	∈	ORG
iajs-2767	75	7	∅∗ ∈ ⋂	PERSON
iajs-2767	78	1	f\e	PERSON
iajs-2767	78	2	∈	ORG
iajs-2767	79	1	∈	ORG
iajs-2767	80	1	⋃ ek ∞ k=1	PERSON
iajs-2767	82	1	⋃ ek ∞ k=1	PERSON
iajs-2767	84	1	ℋi ∗ i∈ι	PERSON
iajs-2767	84	2	σ	ORG
iajs-2767	84	3	𝒳∗.	ORG
iajs-2767	84	4	two	CARDINAL
iajs-2767	84	5	σ	ORG
iajs-2767	84	6	𝒳∗	ORG
iajs-2767	84	7	σ	ORG
iajs-2767	84	8	𝒳∗.	ORG
iajs-2767	84	9	3.4	CARDINAL
iajs-2767	84	10	ℋ1 ∗	QUANTITY
iajs-2767	84	11	𝜔1,0.1	ORG
iajs-2767	84	12	0.5	CARDINAL
iajs-2767	84	13	𝒳∗	CARDINAL
iajs-2767	84	14	ℋ2 ∗	QUANTITY
iajs-2767	84	15	𝒳∗	CARDINAL
iajs-2767	85	1	ℋ1 ∗	QUANTITY
iajs-2767	85	2	ℋ2 ∗	QUANTITY
iajs-2767	85	3	σ	ORG
iajs-2767	85	4	𝒳∗.	ORG
iajs-2767	85	5	ℋ1 ∗	QUANTITY
iajs-2767	85	6	ℋ2 ∗	QUANTITY
iajs-2767	85	7	0.1	CARDINAL
iajs-2767	85	8	0.5	CARDINAL
iajs-2767	85	9	0.9	CARDINAL
iajs-2767	85	10	0.5	CARDINAL
iajs-2767	85	11	0.2	CARDINAL
iajs-2767	85	12	0.4	CARDINAL
iajs-2767	85	13	0.8	CARDINAL
iajs-2767	85	14	0.6	CARDINAL
iajs-2767	85	15	𝒳∗	CARDINAL
iajs-2767	86	1	0.1	CARDINAL
iajs-2767	86	2	0.5	CARDINAL
iajs-2767	86	3	0.9	CARDINAL
iajs-2767	86	4	0.5	CARDINAL
iajs-2767	86	5	0.2	CARDINAL
iajs-2767	86	6	0.4	CARDINAL
iajs-2767	86	7	0.8	CARDINAL
iajs-2767	86	8	0.6	CARDINAL
iajs-2767	86	9	ℋ2 ∗	QUANTITY
iajs-2767	86	10	k=1,2,	PERSON
iajs-2767	87	1	⋃	DATE
iajs-2767	87	2	4	CARDINAL
iajs-2767	87	3	𝑀𝑎𝑥{0.1,0.9,0.2,0.8	GPE
iajs-2767	87	4	∉	ORG
iajs-2767	87	5	ℋ1 ∗	TIME
iajs-2767	87	6	ℋ2 ∗	CARDINAL
iajs-2767	88	1	ℋ1 ∗	QUANTITY
iajs-2767	88	2	ℋ2 ∗	QUANTITY
iajs-2767	88	3	σ	ORG
iajs-2767	88	4	𝒳∗.	ORG
iajs-2767	88	5	3.3	CARDINAL
iajs-2767	88	6	σ	ORG
iajs-2767	88	7	𝒳∗	CARDINAL
iajs-2767	88	8	σ	ORG
iajs-2767	88	9	𝒳∗	ORG
iajs-2767	88	10	σ𝑟(𝔗∗	PERSON
iajs-2767	88	11	σ𝑟(𝔗∗	PERSON
iajs-2767	90	1	σ	ORG
iajs-2767	92	1	3.1	CARDINAL
iajs-2767	93	1	σ𝑟(𝔗∗	PERSON
iajs-2767	93	2	σ	ORG
iajs-2767	93	3	𝒳∗	ORG
iajs-2767	93	4	σ𝑟(𝔗∗	PERSON
iajs-2767	93	5	3.1	CARDINAL
iajs-2767	94	1	ibn al-haitham jour	PERSON
iajs-2767	95	1	sci	ORG
iajs-2767	96	1	53	CARDINAL
iajs-2767	96	2	41	CARDINAL
iajs-2767	96	3	3.5	CARDINAL
iajs-2767	96	4	0.1	CARDINAL
iajs-2767	96	5	0.5	CARDINAL
iajs-2767	96	6	0.9	CARDINAL
iajs-2767	96	7	0.5	CARDINAL
iajs-2767	97	1	σ𝑟(𝔗∗	PERSON
iajs-2767	98	1	𝜔1,0.1	ORG
iajs-2767	98	2	σ	ORG
iajs-2767	98	3	𝒳∗	CARDINAL
iajs-2767	98	4	𝔗∗.	ORG
iajs-2767	98	5	3.2	CARDINAL
iajs-2767	98	6	σ𝑟(𝔗∗	PERSON
iajs-2767	99	1	σ	ORG
iajs-2767	99	2	𝒳∗.	ORG
iajs-2767	99	3	σ𝑟(𝔗∗	PERSON
iajs-2767	99	4	3.1	CARDINAL
iajs-2767	100	1	3.3	CARDINAL
iajs-2767	100	2	𝒳∗	ORG
iajs-2767	100	3	σ	ORG
iajs-2767	100	4	𝒳∗.	ORG
iajs-2767	100	5	ℋ∗	CARDINAL
iajs-2767	100	6	𝒳∗.	ORG
iajs-2767	100	7	σ	ORG
iajs-2767	100	8	∅∗ ∈ ℋ∗.	PERSON
iajs-2767	101	1	∈ ℋ∗.	LOC
iajs-2767	101	2	∈	ORG
iajs-2767	101	3	f\e	PERSON
iajs-2767	101	4	f\e	PERSON
iajs-2767	101	5	σ	ORG
iajs-2767	101	6	1,2	CARDINAL
iajs-2767	101	7	ek 𝑐∞ k=1 ∈	PERSON
iajs-2767	102	1	ek 𝑐∞ k=1	PERSON
iajs-2767	102	2	de-morgan	ORG
iajs-2767	102	3	ek 𝑐∞ k=1	PERSON
iajs-2767	103	1	ek ∞ k=1	PERSON
iajs-2767	103	2	⋃ ek ∞ k=1	PERSON
iajs-2767	104	1	ℋ∗	CARDINAL
iajs-2767	104	2	σ	ORG
iajs-2767	104	3	𝒳∗.	ORG
iajs-2767	104	4	3.6	CARDINAL
iajs-2767	104	5	ℋ∗	CARDINAL
iajs-2767	104	6	0	DATE
iajs-2767	104	7	0.5	CARDINAL
iajs-2767	104	8	0.6	CARDINAL
iajs-2767	104	9	0.5	CARDINAL
iajs-2767	104	10	0.4	CARDINAL
iajs-2767	104	11	0.5	CARDINAL
iajs-2767	106	1	0	DATE
iajs-2767	110	1	ec	ORG
iajs-2767	110	2	\e	GPE
iajs-2767	110	3	0.4	CARDINAL
iajs-2767	110	4	0.5	CARDINAL
iajs-2767	111	1	ec	ORG
iajs-2767	111	2	0.5	CARDINAL
iajs-2767	111	3	0	DATE
iajs-2767	111	4	ec	ORG
iajs-2767	112	1	f⋃	NORP
iajs-2767	113	1	𝑆𝑢𝑝{0,0.5,0.5,0.5	DATE
iajs-2767	113	2	0.6	CARDINAL
iajs-2767	113	3	0.5)}= e. therefore	PERSON
iajs-2767	113	4	ℋ∗	ORG
iajs-2767	113	5	σ	ORG
iajs-2767	113	6	𝒳∗.	ORG
iajs-2767	113	7	ℋ∗	ORG
iajs-2767	113	8	𝒳∗	CARDINAL
iajs-2767	113	9	0	DATE
iajs-2767	113	10	0.5)}c	CARDINAL
iajs-2767	113	11	1	CARDINAL
iajs-2767	113	12	0.5	CARDINAL
iajs-2767	113	13	∉ ℋ∗.	GPE
iajs-2767	113	14	al-haitham jour	ORG
iajs-2767	115	1	sci	ORG
iajs-2767	116	1	53	CARDINAL
iajs-2767	116	2	42	CARDINAL
iajs-2767	116	3	3.1	CARDINAL
iajs-2767	116	4	ℋ∗	CARDINAL
iajs-2767	116	5	𝒳∗ ∈ ℋ∗.	PERSON
iajs-2767	116	6	ℋ∗	ORG
iajs-2767	116	7	𝒳∗	CARDINAL
iajs-2767	117	1	ℋ∗	ORG
iajs-2767	117	2	σ	ORG
iajs-2767	117	3	𝒳∗.	ORG
iajs-2767	117	4	ℋ∗	ORG
iajs-2767	117	5	𝒳∗	CARDINAL
iajs-2767	117	6	3.3	CARDINAL
iajs-2767	117	7	ℋ∗	CARDINAL
iajs-2767	117	8	σ	ORG
iajs-2767	117	9	𝒳∗.	ORG
iajs-2767	117	10	ℋ∗	ORG
iajs-2767	117	11	σ	ORG
iajs-2767	117	12	𝒳∗	CARDINAL
iajs-2767	117	13	𝒳∗	CARDINAL
iajs-2767	117	14	∅∗ ∈ ℋ∗.	PERSON
iajs-2767	117	15	∈ ℋ∗.	LOC
iajs-2767	119	1	ω	ORDINAL
iajs-2767	119	2	ω	ORDINAL
iajs-2767	120	1	ω	ORDINAL
iajs-2767	120	2	1,1	CARDINAL
iajs-2767	120	3	ω	ORDINAL
iajs-2767	121	1	ω	ORDINAL
iajs-2767	121	2	1	CARDINAL
iajs-2767	121	3	ω	ORDINAL
iajs-2767	122	1	1,2	CARDINAL
iajs-2767	123	1	⋃ ek 𝑐∞ k=1 ∈	PERSON
iajs-2767	123	2	de-morgan	ORG
iajs-2767	124	1	ek ∞ k=1	PERSON
iajs-2767	126	1	ℋ∗	CARDINAL
iajs-2767	126	2	𝒳∗.	ORG
iajs-2767	126	3	3.4	CARDINAL
iajs-2767	127	1	σ𝑟(𝔗∗	PERSON
iajs-2767	128	1	⊆	CARDINAL
iajs-2767	128	2	σ	ORG
iajs-2767	128	3	𝒳∗	ORG
iajs-2767	129	1	3.5	CARDINAL
iajs-2767	130	1	𝒳∗ ∈ σ𝑟(𝔗∗	PERSON
iajs-2767	130	2	σ𝑟(𝔗∗	PERSON
iajs-2767	132	1	3.1	CARDINAL
iajs-2767	133	1	3.4	CARDINAL
iajs-2767	134	1	𝒳∗	CARDINAL
iajs-2767	134	2	1	CARDINAL
iajs-2767	135	1	∅∗ ∈ ℋ∗. 2.if	PERSON
iajs-2767	135	2	⋃ ek 𝑛 𝑘=1 ∈ ℋ∗.	PERSON
iajs-2767	135	3	3.5	CARDINAL
iajs-2767	135	4	𝒳∗	CARDINAL
iajs-2767	135	5	ℋ∗	ORG
iajs-2767	135	6	ℋ∗ ⊆	MONEY
iajs-2767	135	7	𝒳∗	ORG
iajs-2767	135	8	ℋ∗	ORG
iajs-2767	136	1	3.7	CARDINAL
iajs-2767	136	2	∅∗	PERSON
iajs-2767	136	3	𝒫∗(𝒳	DATE
iajs-2767	136	4	𝒳∗	CARDINAL
iajs-2767	137	1	ibn al-haitham jour	PERSON
iajs-2767	138	1	sci	ORG
iajs-2767	139	1	53	CARDINAL
iajs-2767	139	2	43	CARDINAL
iajs-2767	139	3	3.8	CARDINAL
iajs-2767	139	4	ℋ∗	CARDINAL
iajs-2767	141	1	𝒳∗.	ORG
iajs-2767	141	2	3.9	CARDINAL
iajs-2767	141	3	ℋ∗	CARDINAL
iajs-2767	142	1	𝒳∗	CARDINAL
iajs-2767	143	1	𝒳∗	CARDINAL
iajs-2767	143	2	0.3	CARDINAL
iajs-2767	143	3	0.7)}⋃	DATE
iajs-2767	143	4	0.2	CARDINAL
iajs-2767	143	5	0.8	CARDINAL
iajs-2767	143	6	0.3	CARDINAL
iajs-2767	143	7	0.8	CARDINAL
iajs-2767	144	1	3.2	CARDINAL
iajs-2767	144	2	∗}i∈ι	ORG
iajs-2767	144	3	𝒳∗	CARDINAL
iajs-2767	145	1	ℋi ∗ i∈ι	PERSON
iajs-2767	145	2	𝒳∗.	ORG
iajs-2767	146	1	3.6	CARDINAL
iajs-2767	147	1	𝒳∗	CARDINAL
iajs-2767	147	2	𝒳∗	ORG
iajs-2767	147	3	r(𝔗∗)=	ORG
iajs-2767	150	1	3.6	CARDINAL
iajs-2767	151	1	𝒳∗	ORG
iajs-2767	151	2	3.2	CARDINAL
iajs-2767	152	1	3.7	CARDINAL
iajs-2767	152	2	σ	ORG
iajs-2767	152	3	𝒳∗	ORG
iajs-2767	152	4	𝒳∗.	ORG
iajs-2767	152	5	ℋ∗	CARDINAL
iajs-2767	152	6	σ	ORG
iajs-2767	152	7	𝒳∗.	ORG
iajs-2767	152	8	σ	ORG
iajs-2767	152	9	∅∗ ∈ ℋ∗.	PERSON
iajs-2767	152	10	∈ ℋ∗.	LOC
iajs-2767	152	11	σ	ORG
iajs-2767	152	12	⋃ ek ∞ k=1	PERSON
iajs-2767	153	1	⋃ ek ∞ k=1	PERSON
iajs-2767	155	1	ℋ∗	ORG
iajs-2767	155	2	𝒳∗.	ORG
iajs-2767	155	3	3.10	CARDINAL
iajs-2767	159	1	ℋ∗	ORG
iajs-2767	161	1	ℋ∗	ORG
iajs-2767	161	2	ℋ∗	ORG
iajs-2767	161	3	σ	ORG
iajs-2767	161	4	al-haitham jour	ORG
iajs-2767	163	1	sci	ORG
iajs-2767	164	1	53	CARDINAL
iajs-2767	164	2	44	DATE
iajs-2767	164	3	0	CARDINAL
iajs-2767	164	4	1(1∕k	CARDINAL
iajs-2767	164	5	k=1,2	ORG
iajs-2767	165	1	⋃ ek ∞ k=1	PERSON
iajs-2767	166	1	∉ ℋ∗.	ORG
iajs-2767	166	2	3.8	CARDINAL
iajs-2767	167	1	⊆	CARDINAL
iajs-2767	168	1	3.7	CARDINAL
iajs-2767	168	2	3.6	CARDINAL
iajs-2767	169	1	3.9	CARDINAL
iajs-2767	169	2	𝒳∗	ORG
iajs-2767	169	3	𝒳∗.	ORG
iajs-2767	169	4	ℋ∗	CARDINAL
iajs-2767	169	5	𝒳∗.	ORG
iajs-2767	169	6	∈	ORG
iajs-2767	169	7	∈ ℋ∗.	LOC
iajs-2767	169	8	∈	ORG
iajs-2767	170	1	f\e	PERSON
iajs-2767	170	2	f\e	PERSON
iajs-2767	170	3	ℋ∗	CARDINAL
iajs-2767	170	4	𝒳∗.	ORG
iajs-2767	170	5	3.11	CARDINAL
iajs-2767	170	6	ℋ∗	CARDINAL
iajs-2767	172	1	ℋ∗	ORG
iajs-2767	172	2	𝒳∗.	ORG
iajs-2767	172	3	ℋ∗	ORG
iajs-2767	172	4	𝒳∗	CARDINAL
iajs-2767	172	5	𝑏,0.5)}∈ ℋ∗	CARDINAL
iajs-2767	172	6	0.5)}c	CARDINAL
iajs-2767	172	7	1	CARDINAL
iajs-2767	172	8	0.5	CARDINAL
iajs-2767	172	9	∉ ℋ∗.	ORG
iajs-2767	172	10	3.10	CARDINAL
iajs-2767	172	11	⊆	CARDINAL
iajs-2767	172	12	al(𝔗∗	PERSON
iajs-2767	172	13	𝒳∗	CARDINAL
iajs-2767	173	1	3.9	CARDINAL
iajs-2767	173	2	3.6	CARDINAL
iajs-2767	174	1	3.11	CARDINAL
iajs-2767	175	1	⊆	CARDINAL
iajs-2767	177	1	3.2	CARDINAL
iajs-2767	177	2	ℋ∗	CARDINAL
iajs-2767	177	3	𝒳∗ ∈ ℋ∗.	ORG
iajs-2767	177	4	ℋ∗	ORG
iajs-2767	177	5	𝒳∗	CARDINAL
iajs-2767	178	1	ℋ∗	ORG
iajs-2767	178	2	𝒳∗.	ORG
iajs-2767	178	3	ℋ∗	ORG
iajs-2767	178	4	𝒳∗	CARDINAL
iajs-2767	178	5	3.9	CARDINAL
iajs-2767	178	6	ℋ∗	CARDINAL
iajs-2767	178	7	𝒳∗.	ORG
iajs-2767	178	8	al-haitham jour	ORG
iajs-2767	180	1	sci	ORG
iajs-2767	181	1	53	CARDINAL
iajs-2767	181	2	45	CARDINAL
iajs-2767	181	3	ℋ∗	ORG
iajs-2767	181	4	𝒳∗	CARDINAL
iajs-2767	181	5	𝒳∗	CARDINAL
iajs-2767	182	1	∈ ℋ∗.	LOC
iajs-2767	184	1	ω	ORDINAL
iajs-2767	184	2	ω	ORDINAL
iajs-2767	185	1	ω	ORDINAL
iajs-2767	185	2	1,1	CARDINAL
iajs-2767	185	3	ω	ORDINAL
iajs-2767	186	1	ω	ORDINAL
iajs-2767	186	2	1	CARDINAL
iajs-2767	186	3	ω	ORDINAL
iajs-2767	187	1	⋃	DATE
iajs-2767	187	2	ℋ∗	CARDINAL
iajs-2767	187	3	𝒳∗.	ORG
iajs-2767	187	4	3.12	CARDINAL
iajs-2767	188	1	𝒳∗	CARDINAL
iajs-2767	188	2	∈	ORG
iajs-2767	189	1	3.2	CARDINAL
iajs-2767	190	1	3.13	CARDINAL
iajs-2767	190	2	𝒳∗	ORG
iajs-2767	190	3	𝒳∗. 4	ORG
iajs-2767	190	4	σ	ORG
iajs-2767	191	1	σ	ORG
iajs-2767	192	1	σ	ORG
iajs-2767	192	2	𝒳∗	CARDINAL
iajs-2767	192	3	σ	ORG
iajs-2767	192	4	𝒳∗.	ORG
iajs-2767	192	5	1	CARDINAL
iajs-2767	192	6	𝒳∗	ORG
iajs-2767	192	7	σ	ORG
iajs-2767	192	8	𝒳∗.	ORG
iajs-2767	192	9	2.assume	PRODUCT
iajs-2767	193	1	σ𝑟(𝔗∗	PERSON
iajs-2767	193	2	σ	ORG
iajs-2767	193	3	𝒳∗	CARDINAL
iajs-2767	193	4	3.assume	CARDINAL
iajs-2767	193	5	ℋ∗	CARDINAL
iajs-2767	193	6	𝒳∗	CARDINAL
iajs-2767	194	1	ℋ∗	ORG
iajs-2767	194	2	𝒳∗	CARDINAL
iajs-2767	195	1	ℋ∗	ORG
iajs-2767	195	2	σ	ORG
iajs-2767	195	3	𝒳∗. 4.every	PRODUCT
iajs-2767	195	4	σ	ORG
iajs-2767	195	5	𝒳∗	ORG
iajs-2767	195	6	5.every	CARDINAL
iajs-2767	195	7	𝒳∗	ORG
iajs-2767	195	8	𝒳∗.	ORG
iajs-2767	195	9	1.ahmed	CARDINAL
iajs-2767	195	10	i.s.	GPE
iajs-2767	195	11	ebrahim	PERSON
iajs-2767	195	12	δfield	GPE
iajs-2767	195	13	aip conf proc.	ORG
iajs-2767	196	1	2019	DATE
iajs-2767	196	2	2096	DATE
iajs-2767	196	3	020019-1	DATE
iajs-2767	197	1	2.ahmed	CARDINAL
iajs-2767	197	2	i.s.	GPE
iajs-2767	197	3	asaad	GPE
iajs-2767	197	4	s.h.	ORG
iajs-2767	197	5	ebrahim	PERSON
iajs-2767	198	1	2021	CARDINAL
iajs-2767	198	2	24	DATE
iajs-2767	198	3	4	CARDINAL
iajs-2767	198	4	947–952	CARDINAL
iajs-2767	199	1	3.endou	CARDINAL
iajs-2767	199	2	n.	ORG
iajs-2767	199	3	k. ; shidama	PERSON
iajs-2767	200	1	2015	DATE
iajs-2767	200	2	23	CARDINAL
iajs-2767	200	3	1	CARDINAL
iajs-2767	200	4	51–57	CARDINAL
iajs-2767	201	1	4.ahmed	CARDINAL
iajs-2767	201	2	i.s.	GPE
iajs-2767	201	3	ebrahim	PERSON
iajs-2767	201	4	h.h.	PERSON
iajs-2767	201	5	j. phys	ORG
iajs-2767	202	1	2019, 1294	DATE
iajs-2767	202	2	1-8	DATE
iajs-2767	203	1	5.ebrahim	CARDINAL
iajs-2767	203	2	ahmed	PERSON
iajs-2767	203	3	i.s.	GPE
iajs-2767	204	1	al haitham	PERSON
iajs-2767	205	1	2019	DATE
iajs-2767	205	2	32	DATE
iajs-2767	205	3	2	CARDINAL
iajs-2767	205	4	62	CARDINAL
iajs-2767	206	1	ibn al-haitham jour	PERSON
iajs-2767	207	1	sci	ORG
iajs-2767	208	1	53	CARDINAL
iajs-2767	208	2	46 6.ebrahim	CARDINAL
iajs-2767	208	3	h.h.	GPE
iajs-2767	208	4	al haitham	PERSON
iajs-2767	209	1	2020	DATE
iajs-2767	209	2	33	DATE
iajs-2767	209	3	2	CARDINAL
iajs-2767	209	4	72-80	DATE
iajs-2767	210	1	7.zadeh	DATE
iajs-2767	211	1	1965	DATE
iajs-2767	211	2	8	DATE
iajs-2767	211	3	338–353	CARDINAL
iajs-2767	212	1	8.brown	DATE
iajs-2767	214	1	1971	DATE
iajs-2767	214	2	18	CARDINAL
iajs-2767	214	3	1	CARDINAL
iajs-2767	216	1	z.	PERSON
iajs-2767	216	2	g.j.	GPE
iajs-2767	216	3	1st	ORDINAL
iajs-2767	216	4	llc	GPE
iajs-2767	216	5	new york	GPE
iajs-2767	216	6	1995	DATE
iajs-2767	216	7	978	CARDINAL
iajs-2767	217	1	10.ahmed	CARDINAL
iajs-2767	217	2	i.s.	GPE
iajs-2767	218	1	ebrahim	PERSON
iajs-2767	218	2	h.h.	PERSON
iajs-2767	218	3	al-fayadh	ORG
iajs-2767	218	4	σ	ORG
iajs-2767	218	5	january 2022	DATE