id	sid	eid	entity	type
ejpam-4061	1	1	european journal	ORG
ejpam-4061	2	1	14	DATE
ejpam-4061	2	2	4	CARDINAL
ejpam-4061	2	3	2021	DATE
ejpam-4061	2	4	1161-1168	DATE
ejpam-4061	2	5	1307-5543	DATE
ejpam-4061	3	1	new york	GPE
ejpam-4061	3	2	half	CARDINAL
ejpam-4061	3	3	lutfi kalantan1,∗	ORG
ejpam-4061	3	4	1	CARDINAL
ejpam-4061	3	5	abdulaziz university	ORG
ejpam-4061	3	6	80203	DATE
ejpam-4061	3	7	jeddah 21589	PERSON
ejpam-4061	3	8	saudi arabia	GPE
ejpam-4061	3	9	al-qura university.	ORG
ejpam-4061	4	1	saudi arabia	GPE
ejpam-4061	5	1	half	CARDINAL
ejpam-4061	5	2	half	CARDINAL
ejpam-4061	7	1	2020	DATE
ejpam-4061	7	2	54a10	CARDINAL
ejpam-4061	7	3	54g20	CARDINAL
ejpam-4061	7	4	half	CARDINAL
ejpam-4061	8	1	half	CARDINAL
ejpam-4061	8	2	half	CARDINAL
ejpam-4061	11	1	r.	NORP
ejpam-4061	11	2	t4	GPE
ejpam-4061	14	1	inta	ORG
ejpam-4061	15	1	two	CARDINAL
ejpam-4061	17	1	∈	PRODUCT
ejpam-4061	17	2	half	CARDINAL
ejpam-4061	19	1	∈	PRODUCT
ejpam-4061	19	2	\k	ORG
ejpam-4061	20	1	half	CARDINAL
ejpam-4061	20	2	∈	ORG
ejpam-4061	20	3	∈	ORG
ejpam-4061	20	4	b⟩.	PERSON
ejpam-4061	22	1	∈	ORG
ejpam-4061	23	1	namghamdi@uqu.edu.sa	PERSON
ejpam-4061	23	2	lkalantan@kau.edu.sa	PERSON
ejpam-4061	23	3	l. kalantan	PERSON
ejpam-4061	24	1	2021	CARDINAL
ejpam-4061	25	1	n. alghamdi	PERSON
ejpam-4061	25	2	l. kalantan	PERSON
ejpam-4061	26	1	j. pure	PERSON
ejpam-4061	26	2	14	CARDINAL
ejpam-4061	26	3	4	CARDINAL
ejpam-4061	26	4	2021	CARDINAL
ejpam-4061	26	5	1161-1168 1162√	DATE
ejpam-4061	28	1	0⟩	CARDINAL
ejpam-4061	28	2	0⟩	DATE
ejpam-4061	29	1	c(⟨a	PERSON
ejpam-4061	29	2	0⟩	DATE
ejpam-4061	29	3	0⟩	CARDINAL
ejpam-4061	29	4	0⟩	CARDINAL
ejpam-4061	30	1	0⟩	DATE
ejpam-4061	30	2	0⟩	CARDINAL
ejpam-4061	31	1	half	CARDINAL
ejpam-4061	32	1	8	CARDINAL
ejpam-4061	32	2	0⟩	CARDINAL
ejpam-4061	32	3	0⟩	CARDINAL
ejpam-4061	33	1	0⟩	CARDINAL
ejpam-4061	34	1	∈	ORG
ejpam-4061	36	1	half	CARDINAL
ejpam-4061	37	1	∈	ORG
ejpam-4061	37	2	ur(⟨a	GPE
ejpam-4061	37	3	0⟩ •	DATE
ejpam-4061	37	4	0⟩	CARDINAL
ejpam-4061	37	5	ur(⟨a	GPE
ejpam-4061	37	6	0⟩	CARDINAL
ejpam-4061	37	7	0⟩ •	DATE
ejpam-4061	37	8	0⟩	CARDINAL
ejpam-4061	37	9	0⟩	CARDINAL
ejpam-4061	37	10	1	CARDINAL
ejpam-4061	38	1	1	CARDINAL
ejpam-4061	39	1	∈	ORG
ejpam-4061	41	1	0⟩	CARDINAL
ejpam-4061	42	1	0⟩	CARDINAL
ejpam-4061	43	1	0⟩	CARDINAL
ejpam-4061	45	1	k	GPE
ejpam-4061	46	1	\a	ORG
ejpam-4061	48	1	∈	ORG
ejpam-4061	48	2	u and h	ORG
ejpam-4061	50	1	half	CARDINAL
ejpam-4061	51	1	1	CARDINAL
ejpam-4061	51	2	k ∪	ORG
ejpam-4061	53	1	hau	PERSON
ejpam-4061	53	2	hau	PERSON
ejpam-4061	54	1	1	CARDINAL
ejpam-4061	56	1	2.	CARDINAL
ejpam-4061	58	1	n. alghamdi	PERSON
ejpam-4061	58	2	l. kalantan	PERSON
ejpam-4061	59	1	j. pure	PERSON
ejpam-4061	59	2	14	CARDINAL
ejpam-4061	59	3	4	CARDINAL
ejpam-4061	59	4	2021	CARDINAL
ejpam-4061	59	5	1161-1168 1163	DATE
ejpam-4061	59	6	1	CARDINAL
ejpam-4061	60	1	half	CARDINAL
ejpam-4061	60	2	u ⊂ uah	ORG
ejpam-4061	60	3	⊂ h.	ORG
ejpam-4061	60	4	1	CARDINAL
ejpam-4061	60	5	1 2	CARDINAL
ejpam-4061	61	1	1	CARDINAL
ejpam-4061	62	1	0⟩	CARDINAL
ejpam-4061	63	1	0	CARDINAL
ejpam-4061	63	2	cϵ(⟨x	ORG
ejpam-4061	63	3	0⟩	CARDINAL
ejpam-4061	63	4	0⟩	CARDINAL
ejpam-4061	63	5	zero	CARDINAL
ejpam-4061	63	6	t4	ORG
ejpam-4061	64	1	t4	GPE
ejpam-4061	65	1	∈	ORG
ejpam-4061	67	1	∈ k	PERSON
ejpam-4061	68	1	u 1 n	ORG
ejpam-4061	69	1	n ∈ n	ORG
ejpam-4061	69	2	0⟩	CARDINAL
ejpam-4061	70	1	1 n	CARDINAL
ejpam-4061	70	2	0⟩	CARDINAL
ejpam-4061	70	3	n ∈ n	PERSON
ejpam-4061	70	4	0⟩. therefore	PERSON
ejpam-4061	70	5	first	ORDINAL
ejpam-4061	71	1	2	CARDINAL
ejpam-4061	72	1	second	ORDINAL
ejpam-4061	76	1	second	ORDINAL
ejpam-4061	79	1	∪a	CARDINAL
ejpam-4061	79	2	second	ORDINAL
ejpam-4061	80	1	k ∪ a.	ORG
ejpam-4061	81	1	1 n	CARDINAL
ejpam-4061	81	2	0⟩	CARDINAL
ejpam-4061	82	1	n ∈ n	PERSON
ejpam-4061	82	2	0⟩	CARDINAL
ejpam-4061	85	1	∈	ORG
ejpam-4061	86	1	1	CARDINAL
ejpam-4061	86	2	∈ k	PERSON
ejpam-4061	87	1	∪a	CARDINAL
ejpam-4061	87	2	ur(⟨x, y⟩	ORG
ejpam-4061	87	3	⊆	CARDINAL
ejpam-4061	88	1	ur(⟨x, y⟩	GPE
ejpam-4061	88	2	∪a	CARDINAL
ejpam-4061	88	3	b′	PRODUCT
ejpam-4061	89	1	∈	ORG
ejpam-4061	90	1	⊆	CARDINAL
ejpam-4061	90	2	2	CARDINAL
ejpam-4061	90	3	0⟩	CARDINAL
ejpam-4061	90	4	⊆	CARDINAL
ejpam-4061	90	5	0	CARDINAL
ejpam-4061	90	6	0⟩	CARDINAL
ejpam-4061	90	7	1 n	CARDINAL
ejpam-4061	90	8	0⟩	CARDINAL
ejpam-4061	90	9	⊆	CARDINAL
ejpam-4061	90	10	0⟩	CARDINAL
ejpam-4061	90	11	⊆	CARDINAL
ejpam-4061	90	12	1 n	CARDINAL
ejpam-4061	90	13	0⟩	CARDINAL
ejpam-4061	91	1	n ∈ n	ORG
ejpam-4061	93	1	0	CARDINAL
ejpam-4061	95	1	second	ORDINAL
ejpam-4061	95	2	2	CARDINAL
ejpam-4061	96	1	3	CARDINAL
ejpam-4061	97	1	\a	ORG
ejpam-4061	98	1	n. alghamdi	PERSON
ejpam-4061	98	2	l. kalantan	PERSON
ejpam-4061	99	1	j. pure	PERSON
ejpam-4061	99	2	14	CARDINAL
ejpam-4061	99	3	4	CARDINAL
ejpam-4061	99	4	2021	CARDINAL
ejpam-4061	99	5	1161-1168 1164	DATE
ejpam-4061	99	6	3	CARDINAL
ejpam-4061	100	1	2	CARDINAL
ejpam-4061	102	1	1	CARDINAL
ejpam-4061	103	1	7	CARDINAL
ejpam-4061	103	2	10	CARDINAL
ejpam-4061	103	3	two	CARDINAL
ejpam-4061	103	4	two	CARDINAL
ejpam-4061	103	5	⊆	CARDINAL
ejpam-4061	103	6	⊆	CARDINAL
ejpam-4061	103	7	2	CARDINAL
ejpam-4061	103	8	5	CARDINAL
ejpam-4061	104	1	6	CARDINAL
ejpam-4061	104	2	two	CARDINAL
ejpam-4061	104	3	one	CARDINAL
ejpam-4061	104	4	two	CARDINAL
ejpam-4061	104	5	⊆	CARDINAL
ejpam-4061	104	6	⊆	CARDINAL
ejpam-4061	104	7	4	CARDINAL
ejpam-4061	106	1	2	CARDINAL
ejpam-4061	106	2	4	CARDINAL
ejpam-4061	107	1	1	CARDINAL
ejpam-4061	111	1	∈	ORG
ejpam-4061	111	2	\d	ORG
ejpam-4061	112	1	1	CARDINAL
ejpam-4061	113	1	∪a	CARDINAL
ejpam-4061	114	1	\d	ORG
ejpam-4061	114	2	ur(⟨x, y⟩	ORG
ejpam-4061	114	3	⊆	CARDINAL
ejpam-4061	114	4	\d	ORG
ejpam-4061	115	1	ur(⟨x, y⟩	ORG
ejpam-4061	116	1	2	CARDINAL
ejpam-4061	116	2	0⟩	CARDINAL
ejpam-4061	117	1	0⟩	CARDINAL
ejpam-4061	117	2	⊆	CARDINAL
ejpam-4061	117	3	\d	ORG
ejpam-4061	118	1	0⟩	CARDINAL
ejpam-4061	118	2	0⟩	CARDINAL
ejpam-4061	118	3	0⟩	CARDINAL
ejpam-4061	120	1	0⟩	CARDINAL
ejpam-4061	120	2	0⟩	CARDINAL
ejpam-4061	120	3	0⟩	CARDINAL
ejpam-4061	120	4	0⟩	CARDINAL
ejpam-4061	120	5	0⟩	CARDINAL
ejpam-4061	121	1	then⟨z	ORG
ejpam-4061	121	2	0⟩	CARDINAL
ejpam-4061	121	3	0⟩	CARDINAL
ejpam-4061	121	4	0⟩)∩k	CARDINAL
ejpam-4061	122	1	⊆	PRODUCT
ejpam-4061	122	2	\d	ORG
ejpam-4061	123	1	0⟩	CARDINAL
ejpam-4061	123	2	δ′	ORG
ejpam-4061	123	3	0⟩	CARDINAL
ejpam-4061	124	1	⊆	CARDINAL
ejpam-4061	124	2	cδ′(⟨z	PERSON
ejpam-4061	124	3	0⟩	CARDINAL
ejpam-4061	124	4	0⟩	CARDINAL
ejpam-4061	124	5	⊆	CARDINAL
ejpam-4061	124	6	d.	NORP
ejpam-4061	124	7	0⟩	CARDINAL
ejpam-4061	124	8	0⟩	CARDINAL
ejpam-4061	124	9	0⟩	CARDINAL
ejpam-4061	124	10	0⟩	CARDINAL
ejpam-4061	124	11	0⟩	CARDINAL
ejpam-4061	125	1	δ′	ORG
ejpam-4061	125	2	0⟩	CARDINAL
ejpam-4061	126	1	0⟩	CARDINAL
ejpam-4061	126	2	0⟩	CARDINAL
ejpam-4061	127	1	0⟩	CARDINAL
ejpam-4061	127	2	0⟩	CARDINAL
ejpam-4061	127	3	⊆	CARDINAL
ejpam-4061	127	4	x\d	GPE
ejpam-4061	127	5	⊆	MONEY
ejpam-4061	127	6	0⟩	CARDINAL
ejpam-4061	127	7	⊆	CARDINAL
ejpam-4061	127	8	x\d	GPE
ejpam-4061	128	1	\d	ORG
ejpam-4061	130	1	2	CARDINAL
ejpam-4061	132	1	∩	PERSON
ejpam-4061	134	1	∪a	CARDINAL
ejpam-4061	135	1	⊆	CARDINAL
ejpam-4061	135	2	∈	ORG
ejpam-4061	135	3	n. alghamdi	PERSON
ejpam-4061	135	4	l. kalantan	PERSON
ejpam-4061	136	1	j. pure	PERSON
ejpam-4061	136	2	14	CARDINAL
ejpam-4061	136	3	4	CARDINAL
ejpam-4061	136	4	2021	CARDINAL
ejpam-4061	136	5	1161-1168 1165	DATE
ejpam-4061	136	6	3	CARDINAL
ejpam-4061	137	1	0⟩	CARDINAL
ejpam-4061	138	1	0⟩	CARDINAL
ejpam-4061	138	2	⊆	CARDINAL
ejpam-4061	138	3	d.	NORP
ejpam-4061	139	1	0⟩	CARDINAL
ejpam-4061	139	2	0⟩	CARDINAL
ejpam-4061	139	3	0⟩	CARDINAL
ejpam-4061	140	1	⊆	CARDINAL
ejpam-4061	140	2	0⟩ •	DATE
ejpam-4061	140	3	0⟩	CARDINAL
ejpam-4061	141	1	⊆	CARDINAL
ejpam-4061	142	1	⊆	CARDINAL
ejpam-4061	142	2	0⟩ •	DATE
ejpam-4061	142	3	0⟩	CARDINAL
ejpam-4061	142	4	⊆	CARDINAL
ejpam-4061	142	5	0⟩	CARDINAL
ejpam-4061	142	6	⊆	CARDINAL
ejpam-4061	142	7	d.	NORP
ejpam-4061	142	8	4	DATE
ejpam-4061	145	1	intud	PERSON
ejpam-4061	145	2	⊆	CARDINAL
ejpam-4061	145	3	1	CARDINAL
ejpam-4061	146	1	⊆	CARDINAL
ejpam-4061	147	1	∈	ORG
ejpam-4061	149	1	∈	ORG
ejpam-4061	149	2	∈	ORG
ejpam-4061	150	1	∈	ORG
ejpam-4061	152	1	∈	ORG
ejpam-4061	152	2	1	CARDINAL
ejpam-4061	152	3	∈ k ∪a	PERSON
ejpam-4061	153	1	lemma 2	ORG
ejpam-4061	154	1	∩	PERSON
ejpam-4061	155	1	2	CARDINAL
ejpam-4061	155	2	∈	PRODUCT
ejpam-4061	156	1	0⟩)∩	CARDINAL
ejpam-4061	156	2	0⟩	CARDINAL
ejpam-4061	158	1	0⟩	CARDINAL
ejpam-4061	158	2	0⟩	CARDINAL
ejpam-4061	158	3	0⟩	CARDINAL
ejpam-4061	158	4	0⟩	CARDINAL
ejpam-4061	158	5	0⟩	CARDINAL
ejpam-4061	158	6	0⟩	CARDINAL
ejpam-4061	159	1	n. alghamdi	PERSON
ejpam-4061	159	2	l. kalantan	PERSON
ejpam-4061	160	1	j. pure	PERSON
ejpam-4061	160	2	14	CARDINAL
ejpam-4061	160	3	4	CARDINAL
ejpam-4061	160	4	2021	CARDINAL
ejpam-4061	160	5	1161-1168 1166	DATE
ejpam-4061	160	6	0⟩)∩	CARDINAL
ejpam-4061	161	1	0⟩)∩	CARDINAL
ejpam-4061	162	1	0	CARDINAL
ejpam-4061	163	1	0⟩	CARDINAL
ejpam-4061	163	2	0⟩	CARDINAL
ejpam-4061	163	3	0⟩	CARDINAL
ejpam-4061	164	1	0	CARDINAL
ejpam-4061	164	2	0⟩	CARDINAL
ejpam-4061	164	3	0⟩	CARDINAL
ejpam-4061	164	4	0⟩	CARDINAL
ejpam-4061	165	1	⊆	CARDINAL
ejpam-4061	165	2	⊂	GPE
ejpam-4061	166	1	3	CARDINAL
ejpam-4061	166	2	0⟩	CARDINAL
ejpam-4061	166	3	⊆	CARDINAL
ejpam-4061	166	4	0⟩	CARDINAL
ejpam-4061	166	5	0⟩	CARDINAL
ejpam-4061	168	1	5	CARDINAL
ejpam-4061	171	1	4	CARDINAL
ejpam-4061	171	2	⊂	GPE
ejpam-4061	171	3	⊆	CARDINAL
ejpam-4061	172	1	6	CARDINAL
ejpam-4061	175	1	intud	PERSON
ejpam-4061	176	1	⊆	CARDINAL
ejpam-4061	177	1	intud	PERSON
ejpam-4061	177	2	⊆	CARDINAL
ejpam-4061	178	1	∈	ORG
ejpam-4061	178	2	2	CARDINAL
ejpam-4061	178	3	∈	ORG
ejpam-4061	179	1	1	CARDINAL
ejpam-4061	179	2	9	CARDINAL
ejpam-4061	181	1	⊆	CARDINAL
ejpam-4061	182	1	two	CARDINAL
ejpam-4061	184	1	1	CARDINAL
ejpam-4061	184	2	9	CARDINAL
ejpam-4061	185	1	4	CARDINAL
ejpam-4061	185	2	6	CARDINAL
ejpam-4061	187	1	4	CARDINAL
ejpam-4061	190	1	t3	ORG
ejpam-4061	190	2	ϕ(x	ORG
ejpam-4061	190	3	two	CARDINAL
ejpam-4061	190	4	∈	ORG
ejpam-4061	190	5	ϕ(x	LOC
ejpam-4061	191	1	ϕ(x	LOC
ejpam-4061	191	2	ϕ(x	LOC
ejpam-4061	191	3	x.	PERSON
ejpam-4061	191	4	ϕ(x	LOC
ejpam-4061	191	5	x.	GPE
ejpam-4061	191	6	1167	DATE
ejpam-4061	191	7	⋃	PERSON
ejpam-4061	192	1	inf{ϕ(x	ORDINAL
ejpam-4061	192	2	∈	ORG
ejpam-4061	194	1	11	CARDINAL
ejpam-4061	196	1	11	CARDINAL
ejpam-4061	197	1	11	CARDINAL
ejpam-4061	198	1	1	CARDINAL
ejpam-4061	199	1	∈	ORG
ejpam-4061	201	1	6	CARDINAL
ejpam-4061	202	1	3	CARDINAL
ejpam-4061	203	1	1	CARDINAL
ejpam-4061	205	1	1977	DATE
ejpam-4061	206	1	2	CARDINAL
ejpam-4061	208	1	125(1):47–62, 2002	DATE
ejpam-4061	209	1	3	CARDINAL
ejpam-4061	211	1	turkish	NORP
ejpam-4061	211	2	41(3):749–755	CARDINAL
ejpam-4061	211	3	2017	DATE
ejpam-4061	212	1	4	CARDINAL
ejpam-4061	214	1	demonstratio mathematica	PERSON
ejpam-4061	214	2	41(4):961–968, 2008	DATE
ejpam-4061	215	1	5	CARDINAL
ejpam-4061	215	2	szeptycki	PERSON
ejpam-4061	217	1	123(3):537–545, 2002	DATE
ejpam-4061	218	1	6	CARDINAL
ejpam-4061	220	1	kyungpook mathematical journal	ORG
ejpam-4061	220	2	25(1):141–152	CARDINAL
ejpam-4061	220	3	1970	DATE
ejpam-4061	223	1	kyungpook mathematical journal	ORG
ejpam-4061	223	2	13(1):29–31, 1973	DATE
ejpam-4061	224	1	1168	CARDINAL
ejpam-4061	224	2	8	CARDINAL
ejpam-4061	226	1	dover publications inc, usa, 1995	ORG
ejpam-4061	227	1	9	CARDINAL
ejpam-4061	229	1	american	NORP
ejpam-4061	229	2	41(3):375–481, 1937	DATE
ejpam-4061	230	1	10	CARDINAL
ejpam-4061	232	1	sib	CARDINAL
ejpam-4061	233	1	journ	PERSON
ejpam-4061	234	1	13(5):1182–1196, 1972	DATE
ejpam-4061	235	1	11	CARDINAL
ejpam-4061	237	1	ussr	NORP
ejpam-4061	237	2	14(2):407, 1980	DATE