id	sid	eid	entity	type
ejpam-6543	1	1	european journal	ORG
ejpam-6543	1	2	2025	DATE
ejpam-6543	1	3	18	CARDINAL
ejpam-6543	1	4	3	CARDINAL
ejpam-6543	1	5	6543	CARDINAL
ejpam-6543	1	6	new york	GPE
ejpam-6543	1	7	jamal oudetallah1	PERSON
ejpam-6543	1	8	ahmad almalkawi2	PERSON
ejpam-6543	1	9	ala amourah3,4,∗	ORG
ejpam-6543	1	10	abdullah alsoboh5,∗	PERSON
ejpam-6543	1	11	khaled al mashrafi 5	PERSON
ejpam-6543	1	12	sasa6 1	FAC
ejpam-6543	1	13	university of petra	ORG
ejpam-6543	1	14	amman	GPE
ejpam-6543	1	15	11196	DATE
ejpam-6543	1	16	jordan 2	PERSON
ejpam-6543	1	17	oman 3	ORG
ejpam-6543	1	18	sohar university	ORG
ejpam-6543	1	19	sohar 311	PERSON
ejpam-6543	1	20	oman	GPE
ejpam-6543	1	21	4	CARDINAL
ejpam-6543	1	22	jadara research center	ORG
ejpam-6543	1	23	jadara university	ORG
ejpam-6543	1	24	21110	DATE
ejpam-6543	1	25	jordan 5	ORG
ejpam-6543	1	26	a’sharqiyah university	ORG
ejpam-6543	1	27	42	CARDINAL
ejpam-6543	1	28	400	CARDINAL
ejpam-6543	1	29	ibra	ORG
ejpam-6543	1	30	oman 6 department	ORG
ejpam-6543	1	31	amman	GPE
ejpam-6543	1	32	jordan	GPE
ejpam-6543	8	1	2020	DATE
ejpam-6543	8	2	54d30, 54c08	CARDINAL
ejpam-6543	8	3	54d10	CARDINAL
ejpam-6543	8	4	54a05	CARDINAL
ejpam-6543	8	5	1	CARDINAL
ejpam-6543	9	1	several decades	DATE
ejpam-6543	10	1	∗corresponding	PERSON
ejpam-6543	11	1	jamal.oudetallah@uop.edu.jo	PERSON
ejpam-6543	11	2	j. oudetallah	PERSON
ejpam-6543	11	3	a. almalkawi	PERSON
ejpam-6543	11	4	aamourah@su.edu.om (a. amourah	ORG
ejpam-6543	11	5	a. alsoboh	PERSON
ejpam-6543	11	6	khaled.almashrafi@asu.edu.om (	ORG
ejpam-6543	11	7	k. al mashrafi	PERSON
ejpam-6543	11	8	t. sasa	NORP
ejpam-6543	12	1	1	CARDINAL
ejpam-6543	12	2	2025	CARDINAL
ejpam-6543	13	1	j. oudetallah et al	PERSON
ejpam-6543	14	1	j. pure	PERSON
ejpam-6543	14	2	18	CARDINAL
ejpam-6543	14	3	3	CARDINAL
ejpam-6543	14	4	2025	CARDINAL
ejpam-6543	14	5	6543 2	DATE
ejpam-6543	14	6	13	CARDINAL
ejpam-6543	16	1	1	CARDINAL
ejpam-6543	16	2	1965	DATE
ejpam-6543	17	1	⊆	CARDINAL
ejpam-6543	19	1	mashhour et al	PERSON
ejpam-6543	20	1	2	CARDINAL
ejpam-6543	22	1	kumar	PERSON
ejpam-6543	22	2	singh	GPE
ejpam-6543	23	1	3	CARDINAL
ejpam-6543	23	2	2021	CARDINAL
ejpam-6543	23	3	chen	PERSON
ejpam-6543	23	4	liu	PERSON
ejpam-6543	24	1	4	CARDINAL
ejpam-6543	24	2	2022	CARDINAL
ejpam-6543	25	1	5	CARDINAL
ejpam-6543	26	1	al-hawari	PERSON
ejpam-6543	26	2	6	CARDINAL
ejpam-6543	28	1	oudetallah	GPE
ejpam-6543	28	2	8	CARDINAL
ejpam-6543	28	3	9	CARDINAL
ejpam-6543	30	1	10	CARDINAL
ejpam-6543	31	1	martinez	ORG
ejpam-6543	32	1	11	CARDINAL
ejpam-6543	32	2	2023	CARDINAL
ejpam-6543	32	3	wang et al	PERSON
ejpam-6543	33	1	12	CARDINAL
ejpam-6543	33	2	2024	CARDINAL
ejpam-6543	34	1	13	CARDINAL
ejpam-6543	34	2	14	CARDINAL
ejpam-6543	35	1	mashhour et al	PERSON
ejpam-6543	36	1	15	CARDINAL
ejpam-6543	40	1	first	ORDINAL
ejpam-6543	41	1	second	ORDINAL
ejpam-6543	42	1	third	ORDINAL
ejpam-6543	43	1	j. oudetallah et al	PERSON
ejpam-6543	44	1	j. pure	PERSON
ejpam-6543	44	2	18	CARDINAL
ejpam-6543	44	3	3	CARDINAL
ejpam-6543	44	4	2025	CARDINAL
ejpam-6543	44	5	6543 3	DATE
ejpam-6543	44	6	13 2	CARDINAL
ejpam-6543	46	1	1	CARDINAL
ejpam-6543	47	1	1	CARDINAL
ejpam-6543	47	2	⊆	CARDINAL
ejpam-6543	48	1	\a	ORG
ejpam-6543	49	1	a.	GPE
ejpam-6543	50	1	2	CARDINAL
ejpam-6543	51	1	2	CARDINAL
ejpam-6543	51	2	x.	GPE
ejpam-6543	51	3	3	CARDINAL
ejpam-6543	52	1	2	CARDINAL
ejpam-6543	52	2	subcover	GPE
ejpam-6543	53	1	4	CARDINAL
ejpam-6543	54	1	2	CARDINAL
ejpam-6543	55	1	5	CARDINAL
ejpam-6543	56	1	15	CARDINAL
ejpam-6543	56	2	two	CARDINAL
ejpam-6543	56	3	∈	ORG
ejpam-6543	56	4	y /∈	PERSON
ejpam-6543	58	1	two	CARDINAL
ejpam-6543	58	2	∈	ORG
ejpam-6543	59	1	6	CARDINAL
ejpam-6543	60	1	13	CARDINAL
ejpam-6543	64	1	∈	ORG
ejpam-6543	64	2	⊆	CARDINAL
ejpam-6543	65	1	j. oudetallah et al	PERSON
ejpam-6543	66	1	j. pure	PERSON
ejpam-6543	66	2	18	CARDINAL
ejpam-6543	66	3	3	CARDINAL
ejpam-6543	66	4	2025	CARDINAL
ejpam-6543	66	5	6543 4	DATE
ejpam-6543	66	6	13	CARDINAL
ejpam-6543	66	7	8	DATE
ejpam-6543	69	1	xj	GPE
ejpam-6543	70	1	9	CARDINAL
ejpam-6543	72	1	c(x	ORG
ejpam-6543	74	1	3	CARDINAL
ejpam-6543	75	1	10	CARDINAL
ejpam-6543	76	1	⊆	CARDINAL
ejpam-6543	76	2	⋃	PRODUCT
ejpam-6543	79	1	1	CARDINAL
ejpam-6543	81	1	r.	NORP
ejpam-6543	81	2	n ∈ n	PERSON
ejpam-6543	84	1	two	CARDINAL
ejpam-6543	86	1	2	CARDINAL
ejpam-6543	86	2	0	CARDINAL
ejpam-6543	86	3	r.	NORP
ejpam-6543	87	1	1	CARDINAL
ejpam-6543	89	1	3	CARDINAL
ejpam-6543	89	2	1	CARDINAL
ejpam-6543	89	3	2	DATE
ejpam-6543	89	4	3	DATE
ejpam-6543	93	1	n ∈ n	ORG
ejpam-6543	94	1	1	CARDINAL
ejpam-6543	96	1	j. oudetallah et al	PERSON
ejpam-6543	97	1	j. pure	PERSON
ejpam-6543	97	2	18	CARDINAL
ejpam-6543	97	3	3	CARDINAL
ejpam-6543	97	4	2025	CARDINAL
ejpam-6543	97	5	6543 5	DATE
ejpam-6543	97	6	13	CARDINAL
ejpam-6543	98	1	⊆	CARDINAL
ejpam-6543	98	2	⋃	DATE
ejpam-6543	101	1	1	CARDINAL
ejpam-6543	102	1	1	CARDINAL
ejpam-6543	104	1	1	CARDINAL
ejpam-6543	104	2	n ∈ n	PERSON
ejpam-6543	105	1	1	CARDINAL
ejpam-6543	109	1	∈	ORG
ejpam-6543	109	2	⊆	CARDINAL
ejpam-6543	111	1	2	CARDINAL
ejpam-6543	114	1	⊆	CARDINAL
ejpam-6543	119	1	⊆	CARDINAL
ejpam-6543	119	2	⋃	PRODUCT
ejpam-6543	120	1	∈	ORG
ejpam-6543	120	2	⋃	DATE
ejpam-6543	122	1	⊆	CARDINAL
ejpam-6543	128	1	x.	GPE
ejpam-6543	128	2	⊆	CARDINAL
ejpam-6543	128	3	⋃	PRODUCT
ejpam-6543	130	1	⋃	PRODUCT
ejpam-6543	130	2	⊆	CARDINAL
ejpam-6543	132	1	j. oudetallah et	PERSON
ejpam-6543	133	1	j. pure	PERSON
ejpam-6543	133	2	18	CARDINAL
ejpam-6543	133	3	3	CARDINAL
ejpam-6543	133	4	2025	CARDINAL
ejpam-6543	133	5	6543 6	DATE
ejpam-6543	133	6	13	CARDINAL
ejpam-6543	135	1	1	CARDINAL
ejpam-6543	141	1	2	CARDINAL
ejpam-6543	142	1	two	CARDINAL
ejpam-6543	143	1	subcover	GPE
ejpam-6543	144	1	2	CARDINAL
ejpam-6543	145	1	1	CARDINAL
ejpam-6543	146	1	1	CARDINAL
ejpam-6543	148	1	3	CARDINAL
ejpam-6543	155	1	1	CARDINAL
ejpam-6543	155	2	2	CARDINAL
ejpam-6543	159	1	j ⊆	PERSON
ejpam-6543	162	1	2)⇒	CARDINAL
ejpam-6543	163	1	∈	ORG
ejpam-6543	163	2	one	CARDINAL
ejpam-6543	163	3	d.	NORP
ejpam-6543	163	4	2	CARDINAL
ejpam-6543	164	1	3	CARDINAL
ejpam-6543	164	2	4	CARDINAL
ejpam-6543	166	1	j. oudetallah et al	PERSON
ejpam-6543	167	1	j. pure	PERSON
ejpam-6543	167	2	18	CARDINAL
ejpam-6543	167	3	3	CARDINAL
ejpam-6543	167	4	2025	CARDINAL
ejpam-6543	167	5	6543 7 of 13	DATE
ejpam-6543	168	1	3	CARDINAL
ejpam-6543	169	1	4	CARDINAL
ejpam-6543	169	2	1	CARDINAL
ejpam-6543	169	3	4	CARDINAL
ejpam-6543	171	1	4	CARDINAL
ejpam-6543	172	1	4	CARDINAL
ejpam-6543	172	2	1	CARDINAL
ejpam-6543	178	1	⊆	CARDINAL
ejpam-6543	178	2	⋃	PRODUCT
ejpam-6543	179	1	∈	ORG
ejpam-6543	182	1	⊆	CARDINAL
ejpam-6543	182	2	⋃	PRODUCT
ejpam-6543	183	1	4	CARDINAL
ejpam-6543	187	1	x.	ORG
ejpam-6543	188	1	∩a	GPE
ejpam-6543	190	1	ux1	PRODUCT
ejpam-6543	192	1	i=1 uxi	PERSON
ejpam-6543	193	1	i=1 uxi	PERSON
ejpam-6543	194	1	i=1 uxi	PERSON
ejpam-6543	196	1	4	CARDINAL
ejpam-6543	197	1	0	CARDINAL
ejpam-6543	197	2	1	CARDINAL
ejpam-6543	197	3	2	CARDINAL
ejpam-6543	199	1	0	CARDINAL
ejpam-6543	199	2	1	CARDINAL
ejpam-6543	199	3	2	CARDINAL
ejpam-6543	200	1	0	CARDINAL
ejpam-6543	200	2	1	CARDINAL
ejpam-6543	200	3	2	CARDINAL
ejpam-6543	201	1	2	CARDINAL
ejpam-6543	203	1	j. oudetallah et al	PERSON
ejpam-6543	204	1	j. pure	PERSON
ejpam-6543	204	2	18	CARDINAL
ejpam-6543	204	3	3	CARDINAL
ejpam-6543	204	4	2025	CARDINAL
ejpam-6543	204	5	6543 8	DATE
ejpam-6543	204	6	13	CARDINAL
ejpam-6543	206	1	n ∈ n	ORG
ejpam-6543	212	1	5	CARDINAL
ejpam-6543	215	1	∏	GPE
ejpam-6543	218	1	∏ j∈i xj	PERCENT
ejpam-6543	222	1	∏	CARDINAL
ejpam-6543	226	1	xj	ORG
ejpam-6543	229	1	2	CARDINAL
ejpam-6543	234	1	∈	ORG
ejpam-6543	235	1	x.	GPE
ejpam-6543	235	2	⊆	CARDINAL
ejpam-6543	235	3	⋃	PRODUCT
ejpam-6543	236	1	j. oudetallah et al	PERSON
ejpam-6543	237	1	j. pure	PERSON
ejpam-6543	237	2	18	CARDINAL
ejpam-6543	237	3	3	CARDINAL
ejpam-6543	237	4	2025	CARDINAL
ejpam-6543	237	5	6543 9	DATE
ejpam-6543	237	6	⋃	DATE
ejpam-6543	238	1	⋃	DATE
ejpam-6543	238	2	⊆	CARDINAL
ejpam-6543	241	1	⊆	CARDINAL
ejpam-6543	241	2	x.	GPE
ejpam-6543	241	3	3	CARDINAL
ejpam-6543	242	1	2	CARDINAL
ejpam-6543	245	1	5	CARDINAL
ejpam-6543	246	1	0	CARDINAL
ejpam-6543	246	2	1	CARDINAL
ejpam-6543	247	1	0	CARDINAL
ejpam-6543	247	2	1	CARDINAL
ejpam-6543	248	1	0	CARDINAL
ejpam-6543	248	2	1	CARDINAL
ejpam-6543	248	3	0}∪{1/2}×	CARDINAL
ejpam-6543	249	1	0	CARDINAL
ejpam-6543	249	2	1	CARDINAL
ejpam-6543	251	1	two	CARDINAL
ejpam-6543	251	2	0	CARDINAL
ejpam-6543	251	3	1]×{0	DATE
ejpam-6543	251	4	1/2}×	CARDINAL
ejpam-6543	252	1	0	CARDINAL
ejpam-6543	252	2	1	CARDINAL
ejpam-6543	254	1	2	CARDINAL
ejpam-6543	259	1	⋃n i=1xi	PERSON
ejpam-6543	262	1	∈	ORG
ejpam-6543	263	1	⊆	CARDINAL
ejpam-6543	263	2	⋃	PERSON
ejpam-6543	263	3	fi∩xi	ORG
ejpam-6543	264	1	⋃n i=1fi	PERSON
ejpam-6543	265	1	6	CARDINAL
ejpam-6543	269	1	x1 ∩ x2	ORG
ejpam-6543	270	1	6	CARDINAL
ejpam-6543	271	1	11	CARDINAL
ejpam-6543	273	1	two	CARDINAL
ejpam-6543	273	2	⊆	CARDINAL
ejpam-6543	273	3	b. j. oudetallah	PERSON
ejpam-6543	275	1	j. pure	PERSON
ejpam-6543	275	2	18	CARDINAL
ejpam-6543	275	3	3	CARDINAL
ejpam-6543	275	4	2025	CARDINAL
ejpam-6543	275	5	6543 10	DATE
ejpam-6543	275	6	13	CARDINAL
ejpam-6543	275	7	3	CARDINAL
ejpam-6543	278	1	⊆	CARDINAL
ejpam-6543	278	2	a. theorem 7	ORG
ejpam-6543	290	1	x.	GPE
ejpam-6543	296	1	12	CARDINAL
ejpam-6543	297	1	3	CARDINAL
ejpam-6543	301	1	clα(d	PERSON
ejpam-6543	301	2	⊆	CARDINAL
ejpam-6543	302	1	clα(d	PERSON
ejpam-6543	303	1	⊆	CARDINAL
ejpam-6543	304	1	3	CARDINAL
ejpam-6543	307	1	3	CARDINAL
ejpam-6543	307	2	3	CARDINAL
ejpam-6543	308	1	j. oudetallah et al	PERSON
ejpam-6543	309	1	j. pure	PERSON
ejpam-6543	309	2	18	CARDINAL
ejpam-6543	309	3	3	CARDINAL
ejpam-6543	309	4	2025	CARDINAL
ejpam-6543	309	5	6543 11	DATE
ejpam-6543	309	6	13 7	DATE
ejpam-6543	309	7	13	CARDINAL
ejpam-6543	312	1	x.	GPE
ejpam-6543	312	2	8	DATE
ejpam-6543	318	1	∈	PRODUCT
ejpam-6543	320	1	0	CARDINAL
ejpam-6543	324	1	⊆	CARDINAL
ejpam-6543	325	1	⋃	DATE
ejpam-6543	328	1	6	CARDINAL
ejpam-6543	330	1	0	CARDINAL
ejpam-6543	330	2	1	CARDINAL
ejpam-6543	331	1	example 1	DATE
ejpam-6543	332	1	1],r	CARDINAL
ejpam-6543	332	2	0	CARDINAL
ejpam-6543	332	3	1	CARDINAL
ejpam-6543	332	4	7	CARDINAL
ejpam-6543	338	1	x.	ORG
ejpam-6543	339	1	j. oudetallah et al	PERSON
ejpam-6543	340	1	j. pure	PERSON
ejpam-6543	340	2	18	CARDINAL
ejpam-6543	340	3	3	CARDINAL
ejpam-6543	340	4	2025	CARDINAL
ejpam-6543	340	5	6543 12	DATE
ejpam-6543	340	6	13 8	DATE
ejpam-6543	343	1	3	CARDINAL
ejpam-6543	344	1	5	CARDINAL
ejpam-6543	344	2	2	CARDINAL
ejpam-6543	345	1	8	CARDINAL
ejpam-6543	345	2	6	CARDINAL
ejpam-6543	346	1	7	CARDINAL
ejpam-6543	348	1	vi	PERSON
ejpam-6543	355	1	5	CARDINAL
ejpam-6543	359	1	the european journal	ORG
ejpam-6543	360	1	j. oudetallah et al	PERSON
ejpam-6543	361	1	j. pure	PERSON
ejpam-6543	361	2	18	CARDINAL
ejpam-6543	361	3	3	CARDINAL
ejpam-6543	361	4	2025	CARDINAL
ejpam-6543	361	5	6543 13	DATE
ejpam-6543	361	6	13	CARDINAL
ejpam-6543	361	7	1	CARDINAL
ejpam-6543	361	8	olav njstad	PERSON
ejpam-6543	363	1	pacific journal of mathematics	ORG
ejpam-6543	363	2	15(3):961–970, 1965	DATE
ejpam-6543	364	1	2	CARDINAL
ejpam-6543	364	2	ia	GPE
ejpam-6543	364	3	sn el-deeb	PERSON
ejpam-6543	366	1	mathematica hungarica	PERSON
ejpam-6543	366	2	41(3):213–218, 1983	DATE
ejpam-6543	367	1	3	CARDINAL
ejpam-6543	367	2	jamal oudetallah	PERSON
ejpam-6543	367	3	iqbal batiha	PERSON
ejpam-6543	369	1	european journal	ORG
ejpam-6543	369	2	18(2):5578–5578	CARDINAL
ejpam-6543	369	3	2025	DATE
ejpam-6543	370	1	4	CARDINAL
ejpam-6543	371	1	22(3):289–295, 1987	ORG
ejpam-6543	372	1	5	CARDINAL
ejpam-6543	372	2	jamal oudetallah	PERSON
ejpam-6543	375	1	j.	PERSON
ejpam-6543	376	1	2022	CARDINAL
ejpam-6543	377	1	6	CARDINAL
ejpam-6543	377	2	jamal oudetallah	PERSON
ejpam-6543	379	1	j. math	PERSON
ejpam-6543	381	1	sci.	ORG
ejpam-6543	381	2	11(5):6216–6225	CARDINAL
ejpam-6543	381	3	2021	CARDINAL
ejpam-6543	382	1	7	CARDINAL
ejpam-6543	382	2	oudetallah laith abualigah	ORG
ejpam-6543	384	1	8(6	CARDINAL
ejpam-6543	384	2	2019	DATE
ejpam-6543	385	1	8	CARDINAL
ejpam-6543	385	2	jamal oudetallah	PERSON
ejpam-6543	385	3	iqbal	PERSON
ejpam-6543	385	4	jamal salah	PERSON
ejpam-6543	385	5	sultan alsaadi	PERSON
ejpam-6543	385	6	tala sasa	PERSON
ejpam-6543	387	1	european journal	ORG
ejpam-6543	387	2	18(2):5764–5764	CARDINAL
ejpam-6543	387	3	2025	DATE
ejpam-6543	388	1	9	CARDINAL
ejpam-6543	388	2	jamal oudetallah	PERSON
ejpam-6543	388	3	iqbal batiha	PERSON
ejpam-6543	388	4	jamal salah	PERSON
ejpam-6543	390	1	european journal	ORG
ejpam-6543	390	2	18(2):5802–5802	CARDINAL
ejpam-6543	390	3	2025	DATE
ejpam-6543	391	1	10	CARDINAL
ejpam-6543	391	2	ala amourah	GPE
ejpam-6543	391	3	jamal salah	PERSON
ejpam-6543	391	4	reyaz ahmad	PERSON
ejpam-6543	391	5	ali	PERSON
ejpam-6543	393	1	european journal	ORG
ejpam-6543	393	2	17(4):2990–3003	DATE
ejpam-6543	393	3	2024	DATE
ejpam-6543	394	1	11	CARDINAL
ejpam-6543	394	2	jamal oudetallah	PERSON
ejpam-6543	394	3	salsabiela rawashdeh	PERSON
ejpam-6543	395	1	lindel	PERSON
ejpam-6543	396	1	neutrosophic science	ORG
ejpam-6543	396	2	ijns	NORP
ejpam-6543	396	3	25(3	CARDINAL
ejpam-6543	396	4	2025	DATE
ejpam-6543	397	1	12	CARDINAL
ejpam-6543	397	2	jamal oudetallah	PERSON
ejpam-6543	399	1	neutrosophic science	ORG
ejpam-6543	399	2	ijns	NORP
ejpam-6543	399	3	25(3	CARDINAL
ejpam-6543	399	4	2025	DATE
ejpam-6543	400	1	13	CARDINAL
ejpam-6543	400	2	norman levine	PERSON
ejpam-6543	402	1	del circolo matematico di palermo	PERSON
ejpam-6543	402	2	19(1):89–96,	DATE
ejpam-6543	402	3	1970	DATE
ejpam-6543	403	1	14	CARDINAL
ejpam-6543	403	2	william dunham	PERSON
ejpam-6543	404	1	1	CARDINAL
ejpam-6543	405	1	kyungpook mathematical journal	ORG
ejpam-6543	405	2	22(1):55–60, 1982	DATE
ejpam-6543	406	1	15	CARDINAL
ejpam-6543	412	1	egypt	GPE
ejpam-6543	412	2	53	CARDINAL
ejpam-6543	412	3	47–53, 1982	DATE