id	sid	eid	entity	type
ejpam-6036	1	1	european journal	ORG
ejpam-6036	1	2	2025	DATE
ejpam-6036	1	3	18	CARDINAL
ejpam-6036	1	4	2	CARDINAL
ejpam-6036	1	5	6036	CARDINAL
ejpam-6036	1	6	1307-5543	DATE
ejpam-6036	1	7	new york	GPE
ejpam-6036	1	8	butsakorn kong-ied1	GPE
ejpam-6036	1	9	sompong2	PERSON
ejpam-6036	1	10	1	CARDINAL
ejpam-6036	1	11	science, mahasarakham university	ORG
ejpam-6036	1	12	44150	DATE
ejpam-6036	1	13	thailand 2	ORG
ejpam-6036	1	14	sakon nakhon rajbhat university	ORG
ejpam-6036	1	15	sakon nakhon	PERSON
ejpam-6036	1	16	47000	CARDINAL
ejpam-6036	1	17	thailand	GPE
ejpam-6036	4	1	2020	DATE
ejpam-6036	4	2	54c08	CARDINAL
ejpam-6036	4	3	54e55	CARDINAL
ejpam-6036	4	4	1	CARDINAL
ejpam-6036	8	1	1	CARDINAL
ejpam-6036	8	2	2	CARDINAL
ejpam-6036	9	1	dungthaisong et al	PERSON
ejpam-6036	10	1	3	CARDINAL
ejpam-6036	11	1	duangphui et al	PERSON
ejpam-6036	12	1	4	CARDINAL
ejpam-6036	13	1	5	CARDINAL
ejpam-6036	14	1	b. kong-ied	GPE
ejpam-6036	14	2	s−sompong@snru.ac.th	DATE
ejpam-6036	14	3	s. sompong	PERSON
ejpam-6036	15	1	1	CARDINAL
ejpam-6036	15	2	2025	CARDINAL
ejpam-6036	16	1	b. kong-ied	PERSON
ejpam-6036	16	2	s. sompong	PERSON
ejpam-6036	16	3	c. boonpok	PERSON
ejpam-6036	17	1	j. pure	PERSON
ejpam-6036	17	2	18	CARDINAL
ejpam-6036	17	3	2	CARDINAL
ejpam-6036	17	4	2025	CARDINAL
ejpam-6036	17	5	6036 2	DATE
ejpam-6036	18	1	6	CARDINAL
ejpam-6036	19	1	8	CARDINAL
ejpam-6036	19	2	9	CARDINAL
ejpam-6036	19	3	10	CARDINAL
ejpam-6036	19	4	11	CARDINAL
ejpam-6036	19	5	12	CARDINAL
ejpam-6036	19	6	13	CARDINAL
ejpam-6036	19	7	14	CARDINAL
ejpam-6036	19	8	15	CARDINAL
ejpam-6036	19	9	16	CARDINAL
ejpam-6036	20	1	17	CARDINAL
ejpam-6036	20	2	18	CARDINAL
ejpam-6036	21	1	1996	DATE
ejpam-6036	21	2	19	CARDINAL
ejpam-6036	21	3	contra	NORP
ejpam-6036	22	1	jafari	GPE
ejpam-6036	23	1	20	CARDINAL
ejpam-6036	23	2	contra	NORP
ejpam-6036	24	1	jafari	GPE
ejpam-6036	25	1	21	CARDINAL
ejpam-6036	25	2	contra	NORP
ejpam-6036	26	1	1999	DATE
ejpam-6036	26	2	22	CARDINAL
ejpam-6036	26	3	contra	NORP
ejpam-6036	27	1	caldas	ORG
ejpam-6036	27	2	jafari	GPE
ejpam-6036	27	3	23	CARDINAL
ejpam-6036	27	4	contra	NORP
ejpam-6036	28	1	2007	DATE
ejpam-6036	28	2	baker	PERSON
ejpam-6036	29	1	24	CARDINAL
ejpam-6036	29	2	contra	NORP
ejpam-6036	30	1	baker	PERSON
ejpam-6036	31	1	25	CARDINAL
ejpam-6036	31	2	contra	NORP
ejpam-6036	33	1	26	CARDINAL
ejpam-6036	33	2	contra	NORP
ejpam-6036	34	1	2011	DATE
ejpam-6036	34	2	27	CARDINAL
ejpam-6036	34	3	contra	NORP
ejpam-6036	35	1	contra	NORP
ejpam-6036	36	1	24	CARDINAL
ejpam-6036	37	1	28	CARDINAL
ejpam-6036	37	2	29	CARDINAL
ejpam-6036	37	3	30	CARDINAL
ejpam-6036	37	4	31	CARDINAL
ejpam-6036	37	5	32	CARDINAL
ejpam-6036	37	6	33	CARDINAL
ejpam-6036	37	7	34	CARDINAL
ejpam-6036	37	8	35	CARDINAL
ejpam-6036	40	1	2	CARDINAL
ejpam-6036	42	1	1	CARDINAL
ejpam-6036	42	2	2	CARDINAL
ejpam-6036	42	3	36	CARDINAL
ejpam-6036	44	1	36	CARDINAL
ejpam-6036	45	1	36	CARDINAL
ejpam-6036	46	1	1	CARDINAL
ejpam-6036	47	1	36	CARDINAL
ejpam-6036	48	1	1	CARDINAL
ejpam-6036	48	2	⊆	CARDINAL
ejpam-6036	50	1	2	CARDINAL
ejpam-6036	50	2	⊆	CARDINAL
ejpam-6036	50	3	⊆	CARDINAL
ejpam-6036	51	1	3	CARDINAL
ejpam-6036	52	1	b. kong-ied	PERSON
ejpam-6036	52	2	s. sompong	PERSON
ejpam-6036	52	3	c. boonpok	PERSON
ejpam-6036	53	1	j. pure	PERSON
ejpam-6036	53	2	18	CARDINAL
ejpam-6036	53	3	2	CARDINAL
ejpam-6036	53	4	2025	CARDINAL
ejpam-6036	53	5	6036 3	DATE
ejpam-6036	53	6	4	CARDINAL
ejpam-6036	55	1	5	CARDINAL
ejpam-6036	58	1	37	CARDINAL
ejpam-6036	59	1	38	CARDINAL
ejpam-6036	59	2	38	CARDINAL
ejpam-6036	60	1	38	CARDINAL
ejpam-6036	61	1	⊆	CARDINAL
ejpam-6036	61	2	⊆	CARDINAL
ejpam-6036	61	3	int(τ1τ2-cl(a	PERSON
ejpam-6036	61	4	⊆	CARDINAL
ejpam-6036	65	1	39	CARDINAL
ejpam-6036	65	2	⊆	CARDINAL
ejpam-6036	68	1	⊆	CARDINAL
ejpam-6036	69	1	36	CARDINAL
ejpam-6036	70	1	2	CARDINAL
ejpam-6036	71	1	36	CARDINAL
ejpam-6036	71	2	1	CARDINAL
ejpam-6036	71	3	⊆	CARDINAL
ejpam-6036	72	1	2	CARDINAL
ejpam-6036	72	2	⊆	CARDINAL
ejpam-6036	72	3	⊆	CARDINAL
ejpam-6036	73	1	3	CARDINAL
ejpam-6036	73	2	4	CARDINAL
ejpam-6036	74	1	40	CARDINAL
ejpam-6036	75	1	40	CARDINAL
ejpam-6036	76	1	3	CARDINAL
ejpam-6036	77	1	1	CARDINAL
ejpam-6036	78	1	∪a	CARDINAL
ejpam-6036	79	1	40	CARDINAL
ejpam-6036	79	2	2	CARDINAL
ejpam-6036	80	1	int(τ1τ2-cl(a	PERSON
ejpam-6036	81	1	∩a	GPE
ejpam-6036	82	1	34	CARDINAL
ejpam-6036	83	1	3	CARDINAL
ejpam-6036	85	1	1	CARDINAL
ejpam-6036	86	1	k ⊆	ORG
ejpam-6036	86	2	⊆	CARDINAL
ejpam-6036	87	1	b. kong-ied	PERSON
ejpam-6036	87	2	s. sompong	PERSON
ejpam-6036	87	3	c. boonpok	PERSON
ejpam-6036	88	1	j. pure	PERSON
ejpam-6036	88	2	18	CARDINAL
ejpam-6036	88	3	2	CARDINAL
ejpam-6036	88	4	2025	CARDINAL
ejpam-6036	88	5	6036 4	DATE
ejpam-6036	88	6	11	CARDINAL
ejpam-6036	88	7	2	CARDINAL
ejpam-6036	89	1	41	CARDINAL
ejpam-6036	90	1	4	CARDINAL
ejpam-6036	91	1	41	CARDINAL
ejpam-6036	91	2	1	CARDINAL
ejpam-6036	91	3	2	CARDINAL
ejpam-6036	91	4	3	CARDINAL
ejpam-6036	91	5	⊆	CARDINAL
ejpam-6036	91	6	4	CARDINAL
ejpam-6036	92	1	⊆	CARDINAL
ejpam-6036	92	2	5	CARDINAL
ejpam-6036	93	1	⊆	CARDINAL
ejpam-6036	94	1	1	CARDINAL
ejpam-6036	97	1	k ⊆	ORG
ejpam-6036	98	1	4	CARDINAL
ejpam-6036	99	1	⊆	CARDINAL
ejpam-6036	102	1	3	CARDINAL
ejpam-6036	103	1	28	CARDINAL
ejpam-6036	103	2	∈	ORG
ejpam-6036	103	3	⊆	CARDINAL
ejpam-6036	104	1	x. lemma	ORG
ejpam-6036	105	1	5	CARDINAL
ejpam-6036	106	1	28	CARDINAL
ejpam-6036	106	2	1	CARDINAL
ejpam-6036	106	3	2	CARDINAL
ejpam-6036	106	4	3	CARDINAL
ejpam-6036	107	1	⊆	CARDINAL
ejpam-6036	107	2	4	CARDINAL
ejpam-6036	108	1	⊆	CARDINAL
ejpam-6036	108	2	5	CARDINAL
ejpam-6036	109	1	⊆	CARDINAL
ejpam-6036	109	2	6	CARDINAL
ejpam-6036	110	1	2	CARDINAL
ejpam-6036	112	1	b. kong-ied	PERSON
ejpam-6036	112	2	s. sompong	PERSON
ejpam-6036	112	3	c. boonpok	PERSON
ejpam-6036	113	1	j. pure	PERSON
ejpam-6036	113	2	18	CARDINAL
ejpam-6036	113	3	2	CARDINAL
ejpam-6036	113	4	2025	CARDINAL
ejpam-6036	113	5	6036 5	DATE
ejpam-6036	113	6	11	CARDINAL
ejpam-6036	114	1	k ⊆	ORG
ejpam-6036	115	1	5	CARDINAL
ejpam-6036	115	2	inx	ORG
ejpam-6036	116	1	⊆	CARDINAL
ejpam-6036	118	1	4	CARDINAL
ejpam-6036	119	1	42	CARDINAL
ejpam-6036	119	2	⊆	CARDINAL
ejpam-6036	120	1	6	CARDINAL
ejpam-6036	121	1	42	CARDINAL
ejpam-6036	121	2	1	CARDINAL
ejpam-6036	121	3	2	CARDINAL
ejpam-6036	121	4	3	CARDINAL
ejpam-6036	121	5	4	CARDINAL
ejpam-6036	122	1	3	CARDINAL
ejpam-6036	127	1	⊆	CARDINAL
ejpam-6036	127	2	x.	GPE
ejpam-6036	127	3	6	CARDINAL
ejpam-6036	128	1	5	CARDINAL
ejpam-6036	129	1	30	CARDINAL
ejpam-6036	129	2	∈	ORG
ejpam-6036	129	3	⊆	CARDINAL
ejpam-6036	130	1	x. lemma 7	ORG
ejpam-6036	131	1	30	CARDINAL
ejpam-6036	131	2	1	CARDINAL
ejpam-6036	131	3	2	CARDINAL
ejpam-6036	132	1	⊆	CARDINAL
ejpam-6036	132	2	3	CARDINAL
ejpam-6036	132	3	cl(f	DATE
ejpam-6036	133	1	⊆	CARDINAL
ejpam-6036	133	2	4	CARDINAL
ejpam-6036	133	3	cl(f	DATE
ejpam-6036	134	1	⊆	CARDINAL
ejpam-6036	134	2	5	CARDINAL
ejpam-6036	135	1	⊆	CARDINAL
ejpam-6036	135	2	6	CARDINAL
ejpam-6036	136	1	⊆	CARDINAL
ejpam-6036	137	1	6	CARDINAL
ejpam-6036	138	1	39	CARDINAL
ejpam-6036	139	1	b. kong-ied	PERSON
ejpam-6036	139	2	s. sompong	PERSON
ejpam-6036	139	3	c. boonpok	PERSON
ejpam-6036	140	1	j. pure	PERSON
ejpam-6036	140	2	18	CARDINAL
ejpam-6036	140	3	2	CARDINAL
ejpam-6036	140	4	2025	CARDINAL
ejpam-6036	140	5	6036 6	DATE
ejpam-6036	140	6	11	CARDINAL
ejpam-6036	140	7	4	CARDINAL
ejpam-6036	146	1	⊆	CARDINAL
ejpam-6036	146	2	cl(f	DATE
ejpam-6036	146	3	⊆	CARDINAL
ejpam-6036	147	1	⊆	CARDINAL
ejpam-6036	148	1	lemma 7	ORG
ejpam-6036	150	1	43	CARDINAL
ejpam-6036	150	2	⊆	CARDINAL
ejpam-6036	150	3	⊆	CARDINAL
ejpam-6036	151	1	7	CARDINAL
ejpam-6036	153	1	8	CARDINAL
ejpam-6036	155	1	⊆	CARDINAL
ejpam-6036	155	2	k ⊆ f−1(v	ORG
ejpam-6036	156	1	5	CARDINAL
ejpam-6036	159	1	k ⊆	ORG
ejpam-6036	160	1	x.	GPE
ejpam-6036	160	2	⊆	CARDINAL
ejpam-6036	160	3	⊆	CARDINAL
ejpam-6036	162	1	6	CARDINAL
ejpam-6036	166	1	k ⊆ f−1(v	ORG
ejpam-6036	167	1	⊆	CARDINAL
ejpam-6036	169	1	⊆	CARDINAL
ejpam-6036	169	2	⊆	CARDINAL
ejpam-6036	171	1	36	CARDINAL
ejpam-6036	171	2	subcover	GPE
ejpam-6036	172	1	9	CARDINAL
ejpam-6036	173	1	41	CARDINAL
ejpam-6036	173	2	subcover	GPE
ejpam-6036	174	1	10	CARDINAL
ejpam-6036	176	1	∈	ORG
ejpam-6036	176	2	⊆	CARDINAL
ejpam-6036	176	3	b. kong-ied	PERSON
ejpam-6036	176	4	s. sompong	PERSON
ejpam-6036	176	5	c. boonpok	PERSON
ejpam-6036	177	1	j. pure	PERSON
ejpam-6036	177	2	18	CARDINAL
ejpam-6036	177	3	2	CARDINAL
ejpam-6036	177	4	2025	CARDINAL
ejpam-6036	177	5	6036 7	DATE
ejpam-6036	177	6	11	CARDINAL
ejpam-6036	179	1	f(x	ORG
ejpam-6036	182	1	∈	ORG
ejpam-6036	182	2	f(x	ORG
ejpam-6036	183	1	f(x	ORG
ejpam-6036	184	1	f(x	ORG
ejpam-6036	184	2	⊆	CARDINAL
ejpam-6036	186	1	⊆	CARDINAL
ejpam-6036	188	1	x.	ORG
ejpam-6036	188	2	x3	GPE
ejpam-6036	190	1	1 ≤ k ≤ n	QUANTITY
ejpam-6036	191	1	f(x	ORG
ejpam-6036	193	1	1 ≤ k ≤ n	QUANTITY
ejpam-6036	194	1	1 ≤ k ≤ n	QUANTITY
ejpam-6036	195	1	f(x	ORG
ejpam-6036	196	1	11	CARDINAL
ejpam-6036	197	1	44	CARDINAL
ejpam-6036	197	2	∈	ORG
ejpam-6036	198	1	8	CARDINAL
ejpam-6036	199	1	44	CARDINAL
ejpam-6036	199	2	1	CARDINAL
ejpam-6036	199	3	2	CARDINAL
ejpam-6036	199	4	3	CARDINAL
ejpam-6036	199	5	8	CARDINAL
ejpam-6036	202	1	x′	DATE
ejpam-6036	202	2	x.	ORG
ejpam-6036	202	3	f(x) ̸=	ORG
ejpam-6036	203	1	f(x	ORG
ejpam-6036	204	1	lemma 8	ORG
ejpam-6036	206	1	⊆	CARDINAL
ejpam-6036	207	1	x′	DATE
ejpam-6036	207	2	x′	DATE
ejpam-6036	208	1	1	CARDINAL
ejpam-6036	209	1	x′	DATE
ejpam-6036	210	1	12	CARDINAL
ejpam-6036	211	1	contra	NORP
ejpam-6036	211	2	∩g(f	PERSON
ejpam-6036	211	3	b. kong-ied	PERSON
ejpam-6036	211	4	s. sompong	PERSON
ejpam-6036	211	5	c. boonpok	PERSON
ejpam-6036	212	1	j. pure	PERSON
ejpam-6036	212	2	18	CARDINAL
ejpam-6036	212	3	2	CARDINAL
ejpam-6036	212	4	2025	CARDINAL
ejpam-6036	212	5	6036 8	DATE
ejpam-6036	212	6	11	CARDINAL
ejpam-6036	212	7	9	CARDINAL
ejpam-6036	213	1	g(f	GPE
ejpam-6036	213	2	contra	NORP
ejpam-6036	216	1	− g(f	PERSON
ejpam-6036	217	1	y ̸= f(x	PERSON
ejpam-6036	218	1	σ2)t1	NORP
ejpam-6036	218	2	f(x	ORG
ejpam-6036	219	1	lemma 8	ORG
ejpam-6036	221	1	⊆	CARDINAL
ejpam-6036	221	2	⊆	CARDINAL
ejpam-6036	222	1	g(f	GPE
ejpam-6036	222	2	contra	NORP
ejpam-6036	223	1	13	CARDINAL
ejpam-6036	226	1	∩g(f	PERSON
ejpam-6036	226	2	14	DATE
ejpam-6036	227	1	45	CARDINAL
ejpam-6036	227	2	∈	ORG
ejpam-6036	227	3	∩	PERSON
ejpam-6036	227	4	10	CARDINAL
ejpam-6036	228	1	g(f	GPE
ejpam-6036	228	2	contra	NORP
ejpam-6036	231	1	− g(f	PERSON
ejpam-6036	232	1	y ̸= f(x	PERSON
ejpam-6036	235	1	⊆	CARDINAL
ejpam-6036	236	1	cl(f	DATE
ejpam-6036	237	1	⊆	CARDINAL
ejpam-6036	238	1	cl(f	DATE
ejpam-6036	239	1	⊆	CARDINAL
ejpam-6036	239	2	g(f	PERSON
ejpam-6036	239	3	contra	NORP
ejpam-6036	241	1	1	CARDINAL
ejpam-6036	241	2	c. boonpok	PERSON
ejpam-6036	243	1	21:380–385	CARDINAL
ejpam-6036	243	2	2022	CARDINAL
ejpam-6036	244	1	2	CARDINAL
ejpam-6036	244	2	j. khampakdee	PERSON
ejpam-6036	246	1	european journal	ORG
ejpam-6036	246	2	2022	CARDINAL
ejpam-6036	247	1	3	CARDINAL
ejpam-6036	249	1	5(24):1175–1184, 2011	DATE
ejpam-6036	250	1	b. kong-ied	PERSON
ejpam-6036	250	2	s. sompong	PERSON
ejpam-6036	250	3	c. boonpok	PERSON
ejpam-6036	251	1	j. pure	PERSON
ejpam-6036	251	2	18	CARDINAL
ejpam-6036	251	3	2	CARDINAL
ejpam-6036	251	4	2025	CARDINAL
ejpam-6036	251	5	6036 9	DATE
ejpam-6036	251	6	4	CARDINAL
ejpam-6036	251	7	c. boonpok	PERSON
ejpam-6036	253	1	5(24):1165	CARDINAL
ejpam-6036	253	2	1174, 2011	DATE
ejpam-6036	254	1	5	CARDINAL
ejpam-6036	254	2	n. srisarakham	PERSON
ejpam-6036	254	3	c. boonpok	PERSON
ejpam-6036	256	1	18(2):255–259	CARDINAL
ejpam-6036	256	2	2023	CARDINAL
ejpam-6036	257	1	6	CARDINAL
ejpam-6036	257	2	m. thongmoon	PERSON
ejpam-6036	257	3	c. boonpok	PERSON
ejpam-6036	259	1	19(2):475–479	DATE
ejpam-6036	259	2	2024	DATE
ejpam-6036	260	1	7	CARDINAL
ejpam-6036	260	2	j. khampakdee	PERSON
ejpam-6036	262	1	european journal	ORG
ejpam-6036	262	2	17(1):300–309	DATE
ejpam-6036	262	3	2024	DATE
ejpam-6036	263	1	8	CARDINAL
ejpam-6036	265	1	19(2):491–495	CARDINAL
ejpam-6036	265	2	2024	DATE
ejpam-6036	266	1	9	CARDINAL
ejpam-6036	266	2	n. srisarakham	PERSON
ejpam-6036	268	1	european journal	ORG
ejpam-6036	268	2	2023	CARDINAL
ejpam-6036	269	1	10	CARDINAL
ejpam-6036	271	1	mathematica	PERSON
ejpam-6036	271	2	2023	CARDINAL
ejpam-6036	272	1	11	CARDINAL
ejpam-6036	274	1	european journal	ORG
ejpam-6036	274	2	15(3):1023–1046	CARDINAL
ejpam-6036	274	3	2022	CARDINAL
ejpam-6036	275	1	12	CARDINAL
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ejpam-6036	280	2	2020	DATE
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ejpam-6036	283	1	4(40):1957–1964,	DATE
ejpam-6036	283	2	2010	DATE
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ejpam-6036	286	1	far east journal of mathematical sciences	ORG
ejpam-6036	286	2	43(1):41–58	CARDINAL
ejpam-6036	286	3	2010	DATE
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ejpam-6036	304	3	2001	DATE
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ejpam-6036	306	1	contra	NORP
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ejpam-6036	311	1	22:19–28, 2001	DATE
ejpam-6036	312	1	24	CARDINAL
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ejpam-6036	318	1	24:31–38, 2007	DATE
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ejpam-6036	321	1	de rolando	ORG
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ejpam-6036	321	3	44:115–137, 2002	DATE
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ejpam-6036	324	2	132:63–77, 2011	DATE
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ejpam-6036	327	1	asia pacific journal of mathematics	ORG
ejpam-6036	327	2	2024	DATE
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ejpam-6036	330	1	22:33, 2024	DATE
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ejpam-6036	333	1	european journal	ORG
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ejpam-6036	339	2	2024	DATE
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ejpam-6036	345	1	european journal	ORG
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ejpam-6036	361	2	s. sompong	PERSON
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ejpam-6036	363	1	european journal	ORG
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ejpam-6036	363	3	2024	DATE
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ejpam-6036	376	1	asia pacific journal of mathematics	ORG
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