id	sid	eid	entity	type
ejpam-5962	1	1	european journal	ORG
ejpam-5962	1	2	2025	DATE
ejpam-5962	1	3	18	CARDINAL
ejpam-5962	1	4	2	CARDINAL
ejpam-5962	1	5	5962	CARDINAL
ejpam-5962	1	6	1307-5543	DATE
ejpam-5962	1	7	new york	GPE
ejpam-5962	1	8	three	CARDINAL
ejpam-5962	1	9	ali a. atoom1,∗	PERSON
ejpam-5962	1	10	mutaib al-otaibi2	PERSON
ejpam-5962	1	11	hamza qoqazeh3	PERSON
ejpam-5962	1	12	al-faroq	ORG
ejpam-5962	1	13	ajloun national university	ORG
ejpam-5962	1	14	43	CARDINAL
ejpam-5962	1	15	26810	DATE
ejpam-5962	1	16	jordan 2	PERSON
ejpam-5962	1	17	amman arab university	ORG
ejpam-5962	1	18	amman	GPE
ejpam-5962	1	19	24	CARDINAL
ejpam-5962	1	20	amman	GPE
ejpam-5962	1	21	jordan 3	ORG
ejpam-5962	1	22	jordan 4	PERSON
ejpam-5962	1	23	arab university	ORG
ejpam-5962	1	24	amman	GPE
ejpam-5962	1	25	24	CARDINAL
ejpam-5962	1	26	amman	GPE
ejpam-5962	1	27	jordan	GPE
ejpam-5962	14	1	a.a.	GPE
ejpam-5962	14	2	m. al-otaibi	PERSON
ejpam-5962	14	3	h. qoqazeh	PERSON
ejpam-5962	14	4	f.o. alkhawaldeh	ORG
ejpam-5962	15	1	1	CARDINAL
ejpam-5962	15	2	2025	CARDINAL
ejpam-5962	16	1	a. a. atoom et al	PERSON
ejpam-5962	17	1	j. pure	PERSON
ejpam-5962	17	2	18	CARDINAL
ejpam-5962	17	3	2	CARDINAL
ejpam-5962	17	4	2025	CARDINAL
ejpam-5962	17	5	5962 2	DATE
ejpam-5962	17	6	17 1	DATE
ejpam-5962	23	1	a. s. parhomenko	PERSON
ejpam-5962	24	1	1	CARDINAL
ejpam-5962	24	2	1939	DATE
ejpam-5962	24	3	first	ORDINAL
ejpam-5962	25	1	e. hewitt	PERSON
ejpam-5962	26	1	2	CARDINAL
ejpam-5962	26	2	four years later	DATE
ejpam-5962	27	1	r. vaidyanathaswamy	PERSON
ejpam-5962	28	1	3	CARDINAL
ejpam-5962	28	2	1947	DATE
ejpam-5962	29	1	a. ramanathan	PERSON
ejpam-5962	30	1	4	CARDINAL
ejpam-5962	30	2	5	CARDINAL
ejpam-5962	30	3	the same year	DATE
ejpam-5962	31	1	hing tong	PERSON
ejpam-5962	32	1	6	CARDINAL
ejpam-5962	32	2	1948	DATE
ejpam-5962	33	1	a. ramanathan	PERSON
ejpam-5962	34	1	7	CARDINAL
ejpam-5962	34	2	1948	DATE
ejpam-5962	36	1	1963	DATE
ejpam-5962	36	2	n. smythe	PERSON
ejpam-5962	36	3	c. a. wilkins	PERSON
ejpam-5962	36	4	8	CARDINAL
ejpam-5962	36	5	first	ORDINAL
ejpam-5962	39	1	e. hewitt	PERSON
ejpam-5962	40	1	2	CARDINAL
ejpam-5962	40	2	1943	DATE
ejpam-5962	41	1	8	CARDINAL
ejpam-5962	43	1	r. larson k,[9	PERSON
ejpam-5962	46	1	w.	PERSON
ejpam-5962	47	1	10	CARDINAL
ejpam-5962	49	1	8	CARDINAL
ejpam-5962	53	1	a. a. atoom et al	PERSON
ejpam-5962	54	1	j. pure	PERSON
ejpam-5962	54	2	18	CARDINAL
ejpam-5962	54	3	2	CARDINAL
ejpam-5962	54	4	2025	CARDINAL
ejpam-5962	54	5	5962 3	DATE
ejpam-5962	54	6	17	CARDINAL
ejpam-5962	54	7	9	CARDINAL
ejpam-5962	55	1	11	CARDINAL
ejpam-5962	57	1	one	CARDINAL
ejpam-5962	57	2	recent years	DATE
ejpam-5962	58	1	12	CARDINAL
ejpam-5962	58	2	13	CARDINAL
ejpam-5962	59	1	14	CARDINAL
ejpam-5962	60	1	first	ORDINAL
ejpam-5962	60	2	14	CARDINAL
ejpam-5962	63	1	one	CARDINAL
ejpam-5962	65	1	o(z	PERSON
ejpam-5962	66	1	o(z	GPE
ejpam-5962	68	1	section 2	LAW
ejpam-5962	69	1	3	CARDINAL
ejpam-5962	70	1	section 4	LAW
ejpam-5962	71	1	section 5	LAW
ejpam-5962	72	1	section 6	LAW
ejpam-5962	72	2	cartesian	NORP
ejpam-5962	73	1	section 7	LAW
ejpam-5962	74	1	section 8	LAW
ejpam-5962	75	1	section 9	LAW
ejpam-5962	76	1	2	CARDINAL
ejpam-5962	77	1	a. a. atoom et al	PERSON
ejpam-5962	78	1	j. pure	PERSON
ejpam-5962	78	2	18	CARDINAL
ejpam-5962	78	3	2	CARDINAL
ejpam-5962	78	4	2025	CARDINAL
ejpam-5962	78	5	5962 4	DATE
ejpam-5962	78	6	17	CARDINAL
ejpam-5962	80	1	2.1	CARDINAL
ejpam-5962	81	1	10	CARDINAL
ejpam-5962	81	2	⊂	GPE
ejpam-5962	83	1	2.2	CARDINAL
ejpam-5962	84	1	10	CARDINAL
ejpam-5962	84	2	b̂ ⊂	PERSON
ejpam-5962	84	3	b̂	PERSON
ejpam-5962	84	4	⊂	GPE
ejpam-5962	86	1	2.3	CARDINAL
ejpam-5962	87	1	15	CARDINAL
ejpam-5962	87	2	two	CARDINAL
ejpam-5962	90	1	2.4	CARDINAL
ejpam-5962	91	1	15	CARDINAL
ejpam-5962	91	2	two	CARDINAL
ejpam-5962	91	3	2.5	CARDINAL
ejpam-5962	92	1	10	CARDINAL
ejpam-5962	93	1	2.6	CARDINAL
ejpam-5962	94	1	10	CARDINAL
ejpam-5962	96	1	2.7	CARDINAL
ejpam-5962	97	1	15	CARDINAL
ejpam-5962	99	1	2.8	CARDINAL
ejpam-5962	100	1	16	CARDINAL
ejpam-5962	101	1	2.9	CARDINAL
ejpam-5962	102	1	16	CARDINAL
ejpam-5962	103	1	3	CARDINAL
ejpam-5962	104	1	3.1	CARDINAL
ejpam-5962	108	1	a. a. atoom et al	PERSON
ejpam-5962	109	1	j. pure	PERSON
ejpam-5962	109	2	18	CARDINAL
ejpam-5962	109	3	2	CARDINAL
ejpam-5962	109	4	2025	CARDINAL
ejpam-5962	109	5	5962 5	DATE
ejpam-5962	109	6	17	CARDINAL
ejpam-5962	109	7	3.1	CARDINAL
ejpam-5962	111	1	3.2	CARDINAL
ejpam-5962	113	1	3.1	CARDINAL
ejpam-5962	120	1	t1−space	CARDINAL
ejpam-5962	122	1	3.3	CARDINAL
ejpam-5962	123	1	φ	ORG
ejpam-5962	123	2	r,ϑu	NORP
ejpam-5962	124	1	r,ϑu	NORP
ejpam-5962	125	1	3.1	CARDINAL
ejpam-5962	130	1	φ	ORG
ejpam-5962	134	1	3.2	CARDINAL
ejpam-5962	137	1	φ	ORG
ejpam-5962	139	1	β2−compact	GPE
ejpam-5962	141	1	3.3	CARDINAL
ejpam-5962	143	1	a. a. atoom et al	PERSON
ejpam-5962	144	1	j. pure	PERSON
ejpam-5962	144	2	18	CARDINAL
ejpam-5962	144	3	2	CARDINAL
ejpam-5962	144	4	2025	CARDINAL
ejpam-5962	144	5	5962 6	DATE
ejpam-5962	144	6	17	CARDINAL
ejpam-5962	145	1	ϑ2z	NORP
ejpam-5962	145	2	ϑ2z	NORP
ejpam-5962	146	1	⊆	CARDINAL
ejpam-5962	146	2	ϑ2z	NORP
ejpam-5962	146	3	ϑ2z	NORP
ejpam-5962	146	4	ϑ2z	NORP
ejpam-5962	146	5	ϑ2z	NORP
ejpam-5962	148	1	3.4	CARDINAL
ejpam-5962	155	1	4	CARDINAL
ejpam-5962	156	1	4.1	CARDINAL
ejpam-5962	158	1	4.2	CARDINAL
ejpam-5962	160	1	4.3	CARDINAL
ejpam-5962	162	1	4.1	CARDINAL
ejpam-5962	163	1	φ	PERSON
ejpam-5962	167	1	φ	ORG
ejpam-5962	168	1	φ	ORG
ejpam-5962	171	1	a. a. atoom et al	PERSON
ejpam-5962	172	1	j. pure	PERSON
ejpam-5962	172	2	18	CARDINAL
ejpam-5962	172	3	2	CARDINAL
ejpam-5962	172	4	2025	CARDINAL
ejpam-5962	172	5	5962 7	DATE
ejpam-5962	172	6	17	CARDINAL
ejpam-5962	172	7	4.2	CARDINAL
ejpam-5962	173	1	φ	PERSON
ejpam-5962	174	1	φ	ORG
ejpam-5962	177	1	φ	ORG
ejpam-5962	179	1	φ	ORG
ejpam-5962	180	1	5	CARDINAL
ejpam-5962	181	1	5.1	CARDINAL
ejpam-5962	183	1	5.1	CARDINAL
ejpam-5962	190	1	5.1	CARDINAL
ejpam-5962	194	1	5.2	CARDINAL
ejpam-5962	197	1	3.3	CARDINAL
ejpam-5962	197	2	5.1	CARDINAL
ejpam-5962	198	1	5.2	CARDINAL
ejpam-5962	200	1	a. a. atoom et al	PERSON
ejpam-5962	201	1	j. pure	PERSON
ejpam-5962	201	2	18	CARDINAL
ejpam-5962	201	3	2	CARDINAL
ejpam-5962	201	4	2025	CARDINAL
ejpam-5962	201	5	5962 8	DATE
ejpam-5962	201	6	17	CARDINAL
ejpam-5962	202	1	φ	ORG
ejpam-5962	202	2	1 ≤	CARDINAL
ejpam-5962	204	1	∈	ORG
ejpam-5962	204	2	∈	ORG
ejpam-5962	206	1	5.3	CARDINAL
ejpam-5962	215	1	5.1	CARDINAL
ejpam-5962	217	1	5.3	CARDINAL
ejpam-5962	218	1	5.1	CARDINAL
ejpam-5962	219	1	5.4	CARDINAL
ejpam-5962	220	1	φ	ORG
ejpam-5962	223	1	4.1	CARDINAL
ejpam-5962	224	1	φ	ORG
ejpam-5962	225	1	φ	ORG
ejpam-5962	225	2	φ	PERSON
ejpam-5962	227	1	howv	ORG
ejpam-5962	228	1	φ	ORG
ejpam-5962	228	2	φ(z	ORG
ejpam-5962	229	1	5.2	CARDINAL
ejpam-5962	230	1	5.5	CARDINAL
ejpam-5962	231	1	1	CARDINAL
ejpam-5962	231	2	2	CARDINAL
ejpam-5962	232	1	a. a. atoom et al	PERSON
ejpam-5962	233	1	j. pure	PERSON
ejpam-5962	233	2	18	CARDINAL
ejpam-5962	233	3	2	CARDINAL
ejpam-5962	233	4	2025	CARDINAL
ejpam-5962	233	5	5962 9	DATE
ejpam-5962	233	6	17	CARDINAL
ejpam-5962	234	1	1	CARDINAL
ejpam-5962	234	2	2	CARDINAL
ejpam-5962	237	1	ψ(u	ORG
ejpam-5962	237	2	ψ(u	ORG
ejpam-5962	237	3	ϑ1−closed	GPE
ejpam-5962	247	1	5.2	CARDINAL
ejpam-5962	251	1	φ	ORG
ejpam-5962	253	1	5.6	CARDINAL
ejpam-5962	254	1	one−−−−−−−→	NORP
ejpam-5962	257	1	ϑ1−closed	GPE
ejpam-5962	258	1	φ	ORG
ejpam-5962	259	1	φ	ORG
ejpam-5962	259	2	one	CARDINAL
ejpam-5962	264	1	5.3	CARDINAL
ejpam-5962	265	1	one	CARDINAL
ejpam-5962	265	2	one	CARDINAL
ejpam-5962	267	1	5.7	CARDINAL
ejpam-5962	269	1	a. a. atoom et al	PERSON
ejpam-5962	270	1	j. pure	PERSON
ejpam-5962	270	2	18	CARDINAL
ejpam-5962	270	3	2	CARDINAL
ejpam-5962	270	4	2025	CARDINAL
ejpam-5962	270	5	5962 10	DATE
ejpam-5962	270	6	17	CARDINAL
ejpam-5962	271	1	φ	ORG
ejpam-5962	272	1	φ	ORG
ejpam-5962	274	1	φ	ORG
ejpam-5962	276	1	φ	ORG
ejpam-5962	277	1	φ	ORG
ejpam-5962	277	2	φ(r	GPE
ejpam-5962	278	1	φ	ORG
ejpam-5962	279	1	φ(r	PERSON
ejpam-5962	279	2	φ	ORG
ejpam-5962	280	1	5.8	CARDINAL
ejpam-5962	281	1	φ	ORG
ejpam-5962	284	1	φ	ORG
ejpam-5962	284	2	n = φ(z	ORG
ejpam-5962	286	1	5.4	CARDINAL
ejpam-5962	287	1	φ	PERSON
ejpam-5962	289	1	6	CARDINAL
ejpam-5962	290	1	6.1	CARDINAL
ejpam-5962	292	1	ϑ1−closed	GPE
ejpam-5962	293	1	6.1	CARDINAL
ejpam-5962	294	1	6.1	CARDINAL
ejpam-5962	299	1	6.2	CARDINAL
ejpam-5962	299	2	φ	ORG
ejpam-5962	301	1	a. a. atoom et al	PERSON
ejpam-5962	302	1	j. pure	PERSON
ejpam-5962	302	2	18	CARDINAL
ejpam-5962	302	3	2	CARDINAL
ejpam-5962	302	4	2025	CARDINAL
ejpam-5962	302	5	5962 11	DATE
ejpam-5962	302	6	17	CARDINAL
ejpam-5962	302	7	6.1	CARDINAL
ejpam-5962	303	1	φ	PERSON
ejpam-5962	305	1	φ(t	GPE
ejpam-5962	306	1	φ(t	GPE
ejpam-5962	306	2	φ	ORG
ejpam-5962	311	1	6.2	CARDINAL
ejpam-5962	315	1	φ	PERSON
ejpam-5962	320	1	6.3	CARDINAL
ejpam-5962	327	1	7	CARDINAL
ejpam-5962	328	1	7.1	CARDINAL
ejpam-5962	330	1	7.1	CARDINAL
ejpam-5962	333	1	a. a. atoom et al	PERSON
ejpam-5962	334	1	j. pure	PERSON
ejpam-5962	334	2	18	CARDINAL
ejpam-5962	334	3	2	CARDINAL
ejpam-5962	334	4	2025	CARDINAL
ejpam-5962	334	5	5962 12	DATE
ejpam-5962	334	6	17	CARDINAL
ejpam-5962	338	1	7.1	CARDINAL
ejpam-5962	340	1	7.1	CARDINAL
ejpam-5962	341	1	7.2	CARDINAL
ejpam-5962	343	1	7.2	CARDINAL
ejpam-5962	346	1	φ	ORG
ejpam-5962	348	1	φ −1(v	GPE
ejpam-5962	352	1	7.1	CARDINAL
ejpam-5962	354	1	7.2	CARDINAL
ejpam-5962	356	1	7.3	CARDINAL
ejpam-5962	362	1	a. a. atoom et al	PERSON
ejpam-5962	363	1	j. pure	PERSON
ejpam-5962	363	2	18	CARDINAL
ejpam-5962	363	3	2	CARDINAL
ejpam-5962	363	4	2025	CARDINAL
ejpam-5962	363	5	5962 13	DATE
ejpam-5962	363	6	17	CARDINAL
ejpam-5962	363	7	7.2	CARDINAL
ejpam-5962	365	1	7.3	CARDINAL
ejpam-5962	366	1	7.3	CARDINAL
ejpam-5962	367	1	∏	CARDINAL
ejpam-5962	367	2	∈ φ	ORG
ejpam-5962	367	3	8	CARDINAL
ejpam-5962	369	1	8.1	CARDINAL
ejpam-5962	372	1	8.1	CARDINAL
ejpam-5962	380	1	8.1	CARDINAL
ejpam-5962	382	1	8.2	CARDINAL
ejpam-5962	388	1	a. a. atoom et al	PERSON
ejpam-5962	389	1	j. pure	PERSON
ejpam-5962	389	2	18	CARDINAL
ejpam-5962	389	3	2	CARDINAL
ejpam-5962	389	4	2025	CARDINAL
ejpam-5962	389	5	5962 14	DATE
ejpam-5962	389	6	17	CARDINAL
ejpam-5962	389	7	8.2	CARDINAL
ejpam-5962	391	1	8.3	CARDINAL
ejpam-5962	399	1	8.4	CARDINAL
ejpam-5962	400	1	z × n	WORK_OF_ART
ejpam-5962	403	1	8.5	CARDINAL
ejpam-5962	406	1	z×n	ORG
ejpam-5962	406	2	ϑ2 ×β2	PERSON
ejpam-5962	406	3	8.3	CARDINAL
ejpam-5962	406	4	8.4	CARDINAL
ejpam-5962	406	5	z × n	WORK_OF_ART
ejpam-5962	407	1	8.3	CARDINAL
ejpam-5962	409	1	8.6	CARDINAL
ejpam-5962	416	1	8.6	CARDINAL
ejpam-5962	416	2	a. a. atoom et al	PERSON
ejpam-5962	417	1	j. pure	PERSON
ejpam-5962	417	2	18	CARDINAL
ejpam-5962	417	3	2	CARDINAL
ejpam-5962	417	4	2025	CARDINAL
ejpam-5962	417	5	5962 15	DATE
ejpam-5962	417	6	17	CARDINAL
ejpam-5962	417	7	8.7	CARDINAL
ejpam-5962	425	1	9	CARDINAL
ejpam-5962	438	1	a. a. atoom et al	PERSON
ejpam-5962	439	1	j. pure	PERSON
ejpam-5962	439	2	18	CARDINAL
ejpam-5962	439	3	2	CARDINAL
ejpam-5962	439	4	2025	CARDINAL
ejpam-5962	439	5	5962 16	DATE
ejpam-5962	439	6	17	CARDINAL
ejpam-5962	440	1	10	CARDINAL
ejpam-5962	443	1	two	CARDINAL
ejpam-5962	450	1	17	CARDINAL
ejpam-5962	450	2	18	CARDINAL
ejpam-5962	450	3	19],[20	CARDINAL
ejpam-5962	450	4	21	CARDINAL
ejpam-5962	450	5	22	CARDINAL
ejpam-5962	452	1	1	CARDINAL
ejpam-5962	452	2	a. s. parhomenko	PERSON
ejpam-5962	454	1	5(47):197–210, 1939	DATE
ejpam-5962	455	1	2	CARDINAL
ejpam-5962	455	2	e. hewitt	PERSON
ejpam-5962	457	1	duke mathematical journal	ORG
ejpam-5962	457	2	10(2):309–333	CARDINAL
ejpam-5962	457	3	1943	DATE
ejpam-5962	458	1	3	CARDINAL
ejpam-5962	460	1	1947	DATE
ejpam-5962	461	1	4	CARDINAL
ejpam-5962	463	1	indian	NORP
ejpam-5962	463	2	11:73–80, 1947	DATE
ejpam-5962	464	1	5	CARDINAL
ejpam-5962	466	1	the indian academy of sciences	ORG
ejpam-5962	466	2	26(1):31–42, 1947	DATE
ejpam-5962	467	1	6	CARDINAL
ejpam-5962	467	2	h. tong	PERSON
ejpam-5962	469	1	american	NORP
ejpam-5962	469	2	54(5):478–479	CARDINAL
ejpam-5962	469	3	1948	DATE
ejpam-5962	470	1	7	CARDINAL
ejpam-5962	472	1	indian	NORP
ejpam-5962	472	2	1948	DATE
ejpam-5962	473	1	8	CARDINAL
ejpam-5962	473	2	n. smythe	PERSON
ejpam-5962	473	3	c. a. wilkins	PERSON
ejpam-5962	475	1	australian	NORP
ejpam-5962	475	2	1963	DATE
ejpam-5962	476	1	a. a. atoom et al	PERSON
ejpam-5962	477	1	j. pure	PERSON
ejpam-5962	477	2	18	CARDINAL
ejpam-5962	477	3	2	CARDINAL
ejpam-5962	477	4	2025	CARDINAL
ejpam-5962	477	5	5962 17	DATE
ejpam-5962	477	6	17	CARDINAL
ejpam-5962	477	7	9	CARDINAL
ejpam-5962	477	8	r. larson	PERSON
ejpam-5962	479	1	american	NORP
ejpam-5962	479	2	20	CARDINAL
ejpam-5962	479	3	1973	DATE
ejpam-5962	480	1	10	CARDINAL
ejpam-5962	482	1	duke mathematical journal	ORG
ejpam-5962	482	2	36(2):325–331	ORG
ejpam-5962	482	3	1969	DATE
ejpam-5962	483	1	11	CARDINAL
ejpam-5962	483	2	w. g.	PERSON
ejpam-5962	485	1	rocky mountain journal	ORG
ejpam-5962	485	2	10(3):661–663, 1980	DATE
ejpam-5962	486	1	12	CARDINAL
ejpam-5962	486	2	d. b. gauld	PERSON
ejpam-5962	486	3	m. mršević	PERSON
ejpam-5962	486	4	i. l. reilly	PERSON
ejpam-5962	486	5	m. k. vamanamurthy	PERSON
ejpam-5962	488	1	19(39):297–308, 1984	DATE
ejpam-5962	489	1	13	CARDINAL
ejpam-5962	489	2	j. van mill	PERSON
ejpam-5962	491	1	north-	NORP
ejpam-5962	491	2	64, 2001	DATE
ejpam-5962	492	1	14	CARDINAL
ejpam-5962	492	2	j. c. kelly	PERSON
ejpam-5962	493	1	bitopological spaces	ORG
ejpam-5962	494	1	london	GPE
ejpam-5962	494	2	13(1):71–89	CARDINAL
ejpam-5962	494	3	1963	DATE
ejpam-5962	495	1	15	CARDINAL
ejpam-5962	495	2	r.	NORP
ejpam-5962	497	1	6, 1989	DATE
ejpam-5962	498	1	16	CARDINAL
ejpam-5962	498	2	h. hdeib	PERSON
ejpam-5962	500	1	revista colombiana de matemáticas	PERSON
ejpam-5962	500	2	17(1-2):37–58	CARDINAL
ejpam-5962	500	3	1983	DATE
ejpam-5962	501	1	17	CARDINAL
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ejpam-5962	501	4	r. ahmad	PERSON
ejpam-5962	501	5	a. a. atoom	PERSON
ejpam-5962	503	1	european journal	ORG
ejpam-5962	503	2	17(4):2990–3003	DATE
ejpam-5962	503	3	2024	DATE
ejpam-5962	504	1	18	CARDINAL
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ejpam-5962	506	2	2018	DATE
ejpam-5962	507	1	19	CARDINAL
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ejpam-5962	509	1	12(1):1–11	CARDINAL
ejpam-5962	509	2	2022	CARDINAL
ejpam-5962	510	1	20	CARDINAL
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ejpam-5962	512	1	23:24	CARDINAL
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ejpam-5962	516	8	a. al-nana	PERSON
ejpam-5962	517	1	kc-bitopological	PERSON
ejpam-5962	518	1	9(12):32182–32199	CARDINAL
ejpam-5962	518	2	2024	DATE