id	sid	eid	entity	type
ejpam-6568	1	1	european journal	ORG
ejpam-6568	1	2	2025	DATE
ejpam-6568	1	3	18	CARDINAL
ejpam-6568	1	4	3	CARDINAL
ejpam-6568	1	5	6568	DATE
ejpam-6568	1	6	1307-5543	DATE
ejpam-6568	1	7	new york	GPE
ejpam-6568	1	8	sama-ae2	GPE
ejpam-6568	1	9	1	CARDINAL
ejpam-6568	1	10	science, mahasarakham university	ORG
ejpam-6568	1	11	44150	DATE
ejpam-6568	1	12	thailand 2	ORG
ejpam-6568	1	13	94000	DATE
ejpam-6568	1	14	thailand	GPE
ejpam-6568	5	1	2020	DATE
ejpam-6568	5	2	54c05	CARDINAL
ejpam-6568	5	3	54c08	CARDINAL
ejpam-6568	5	4	1	CARDINAL
ejpam-6568	5	5	1968	DATE
ejpam-6568	6	1	1	CARDINAL
ejpam-6568	7	1	munshi	PERSON
ejpam-6568	7	2	2	CARDINAL
ejpam-6568	9	1	3	CARDINAL
ejpam-6568	10	1	nasef	NORP
ejpam-6568	11	1	4	CARDINAL
ejpam-6568	11	2	two	CARDINAL
ejpam-6568	14	1	levine	PERSON
ejpam-6568	15	1	5	CARDINAL
ejpam-6568	17	1	6	CARDINAL
ejpam-6568	21	1	8	CARDINAL
ejpam-6568	23	1	9	CARDINAL
ejpam-6568	25	1	10	CARDINAL
ejpam-6568	26	1	nongluk.h@msu.ac.th	PERSON
ejpam-6568	26	2	n. viriyapong	PERSON
ejpam-6568	26	3	a. sama-ae	PERSON
ejpam-6568	27	1	1	CARDINAL
ejpam-6568	27	2	2025	CARDINAL
ejpam-6568	28	1	a. sama-ae	PERSON
ejpam-6568	28	2	c. boonpok	PERSON
ejpam-6568	29	1	j. pure	PERSON
ejpam-6568	29	2	18	CARDINAL
ejpam-6568	29	3	3	CARDINAL
ejpam-6568	29	4	2025	CARDINAL
ejpam-6568	29	5	6568 2	DATE
ejpam-6568	29	6	18	CARDINAL
ejpam-6568	30	1	ekici et al	PERSON
ejpam-6568	31	1	11	CARDINAL
ejpam-6568	32	1	1992	DATE
ejpam-6568	32	2	abd el-monsef	PERSON
ejpam-6568	33	1	12	CARDINAL
ejpam-6568	36	1	hatir	PERSON
ejpam-6568	37	1	13	CARDINAL
ejpam-6568	39	1	14	CARDINAL
ejpam-6568	39	2	15	CARDINAL
ejpam-6568	41	1	16	CARDINAL
ejpam-6568	41	2	17	CARDINAL
ejpam-6568	41	3	18	CARDINAL
ejpam-6568	41	4	18	CARDINAL
ejpam-6568	41	5	19	CARDINAL
ejpam-6568	41	6	19	CARDINAL
ejpam-6568	41	7	20	CARDINAL
ejpam-6568	41	8	20	CARDINAL
ejpam-6568	42	1	21	CARDINAL
ejpam-6568	43	1	22	CARDINAL
ejpam-6568	43	2	23	CARDINAL
ejpam-6568	46	1	2	CARDINAL
ejpam-6568	48	1	1	CARDINAL
ejpam-6568	48	2	2	CARDINAL
ejpam-6568	48	3	24	CARDINAL
ejpam-6568	50	1	24	CARDINAL
ejpam-6568	51	1	24	CARDINAL
ejpam-6568	52	1	1	CARDINAL
ejpam-6568	53	1	24	CARDINAL
ejpam-6568	54	1	1	CARDINAL
ejpam-6568	54	2	⊆	CARDINAL
ejpam-6568	56	1	2	CARDINAL
ejpam-6568	56	2	⊆	CARDINAL
ejpam-6568	56	3	⊆	CARDINAL
ejpam-6568	57	1	3	CARDINAL
ejpam-6568	58	1	4	CARDINAL
ejpam-6568	59	1	n. viriyapong,	PERSON
ejpam-6568	59	2	a. sama-ae	PERSON
ejpam-6568	59	3	c. boonpok	PERSON
ejpam-6568	60	1	j. pure	PERSON
ejpam-6568	60	2	18	CARDINAL
ejpam-6568	60	3	3	CARDINAL
ejpam-6568	60	4	2025	CARDINAL
ejpam-6568	60	5	6568 3	DATE
ejpam-6568	60	6	18	CARDINAL
ejpam-6568	63	1	25	CARDINAL
ejpam-6568	64	1	26	CARDINAL
ejpam-6568	65	1	26	CARDINAL
ejpam-6568	66	1	26	CARDINAL
ejpam-6568	67	1	⊆	CARDINAL
ejpam-6568	67	2	⊆	CARDINAL
ejpam-6568	67	3	int(τ1τ2-cl(a	PERSON
ejpam-6568	67	4	⊆	CARDINAL
ejpam-6568	71	1	27	CARDINAL
ejpam-6568	71	2	⊆	CARDINAL
ejpam-6568	73	1	16	CARDINAL
ejpam-6568	73	2	16	CARDINAL
ejpam-6568	74	1	16	CARDINAL
ejpam-6568	75	1	16	CARDINAL
ejpam-6568	77	1	∈	ORG
ejpam-6568	77	2	25	CARDINAL
ejpam-6568	77	3	25	CARDINAL
ejpam-6568	78	1	25	CARDINAL
ejpam-6568	80	1	25	CARDINAL
ejpam-6568	81	1	1	CARDINAL
ejpam-6568	81	2	⊆	CARDINAL
ejpam-6568	81	3	2	CARDINAL
ejpam-6568	84	1	∈	ORG
ejpam-6568	88	1	∩a	PERSON
ejpam-6568	89	1	28	CARDINAL
ejpam-6568	90	1	29	CARDINAL
ejpam-6568	90	2	a⋆ ⊆ a.	ORG
ejpam-6568	91	1	semi⋆-i	ORG
ejpam-6568	91	2	30	CARDINAL
ejpam-6568	93	1	15	CARDINAL
ejpam-6568	93	2	⊆	CARDINAL
ejpam-6568	94	1	⊆	CARDINAL
ejpam-6568	95	1	semi⋆-i	NORP
ejpam-6568	97	1	semi⋆-i	ORG
ejpam-6568	97	2	30	CARDINAL
ejpam-6568	98	1	15	CARDINAL
ejpam-6568	99	1	3	CARDINAL
ejpam-6568	101	1	1	CARDINAL
ejpam-6568	102	1	∈	ORG
ejpam-6568	102	2	n. viriyapong	PERSON
ejpam-6568	102	3	a. sama-ae	PERSON
ejpam-6568	102	4	c. boonpok	PERSON
ejpam-6568	103	1	j. pure	PERSON
ejpam-6568	103	2	18	CARDINAL
ejpam-6568	103	3	3	CARDINAL
ejpam-6568	103	4	2025	CARDINAL
ejpam-6568	103	5	6568 4	DATE
ejpam-6568	103	6	18	CARDINAL
ejpam-6568	103	7	⊆	CARDINAL
ejpam-6568	105	1	2	CARDINAL
ejpam-6568	106	1	31	CARDINAL
ejpam-6568	107	1	τ2)-scl(a	PERSON
ejpam-6568	108	1	int(τ1τ2-cl(a	PERSON
ejpam-6568	109	1	1	CARDINAL
ejpam-6568	109	2	1	CARDINAL
ejpam-6568	109	3	2	CARDINAL
ejpam-6568	109	4	∈	ORG
ejpam-6568	109	5	3	CARDINAL
ejpam-6568	109	6	4	CARDINAL
ejpam-6568	109	7	5	CARDINAL
ejpam-6568	109	8	⊆	CARDINAL
ejpam-6568	111	1	1	CARDINAL
ejpam-6568	111	2	2	CARDINAL
ejpam-6568	112	1	1	CARDINAL
ejpam-6568	112	2	⊆	CARDINAL
ejpam-6568	113	1	∈	ORG
ejpam-6568	113	2	⊆	CARDINAL
ejpam-6568	114	1	2	CARDINAL
ejpam-6568	114	2	3	CARDINAL
ejpam-6568	114	3	lemma 2.	ORG
ejpam-6568	114	4	3	CARDINAL
ejpam-6568	114	5	4	DATE
ejpam-6568	115	1	2	CARDINAL
ejpam-6568	117	1	4	CARDINAL
ejpam-6568	118	1	4	CARDINAL
ejpam-6568	118	2	⊆	CARDINAL
ejpam-6568	118	3	⊆	CARDINAL
ejpam-6568	119	1	5	CARDINAL
ejpam-6568	120	1	⊆	CARDINAL
ejpam-6568	121	1	x.	GPE
ejpam-6568	121	2	2	CARDINAL
ejpam-6568	121	3	1	CARDINAL
ejpam-6568	121	4	2	CARDINAL
ejpam-6568	122	1	⊆	CARDINAL
ejpam-6568	122	2	3	CARDINAL
ejpam-6568	122	3	⊆	CARDINAL
ejpam-6568	122	4	n. viriyapong	PERSON
ejpam-6568	122	5	a. sama-ae	PERSON
ejpam-6568	122	6	c. boonpok	PERSON
ejpam-6568	123	1	j. pure	PERSON
ejpam-6568	123	2	18	CARDINAL
ejpam-6568	123	3	3	CARDINAL
ejpam-6568	123	4	2025	CARDINAL
ejpam-6568	123	5	6568 5	DATE
ejpam-6568	123	6	18	CARDINAL
ejpam-6568	123	7	4	CARDINAL
ejpam-6568	124	1	⊆	CARDINAL
ejpam-6568	124	2	5	CARDINAL
ejpam-6568	124	3	⊆	CARDINAL
ejpam-6568	124	4	6	CARDINAL
ejpam-6568	124	5	7	CARDINAL
ejpam-6568	126	1	1	CARDINAL
ejpam-6568	126	2	2	CARDINAL
ejpam-6568	127	1	f(x	ORG
ejpam-6568	128	1	1	CARDINAL
ejpam-6568	128	2	∈	ORG
ejpam-6568	129	1	⊆	CARDINAL
ejpam-6568	130	1	2	CARDINAL
ejpam-6568	131	1	y − k	PERSON
ejpam-6568	131	2	2	CARDINAL
ejpam-6568	132	1	− k	PERSON
ejpam-6568	132	2	⊆	CARDINAL
ejpam-6568	136	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	136	2	⊆	CARDINAL
ejpam-6568	137	1	3	CARDINAL
ejpam-6568	137	2	4	DATE
ejpam-6568	138	1	3	CARDINAL
ejpam-6568	138	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	139	1	⊆	CARDINAL
ejpam-6568	140	1	4	CARDINAL
ejpam-6568	141	1	4	CARDINAL
ejpam-6568	144	1	⊆	CARDINAL
ejpam-6568	148	1	5	CARDINAL
ejpam-6568	148	2	6	DATE
ejpam-6568	149	1	5	CARDINAL
ejpam-6568	150	1	⊆	CARDINAL
ejpam-6568	150	2	x.	EVENT
ejpam-6568	150	3	6	CARDINAL
ejpam-6568	151	1	7	CARDINAL
ejpam-6568	152	1	y −	PERSON
ejpam-6568	152	2	7	CARDINAL
ejpam-6568	153	1	x.	GPE
ejpam-6568	154	1	⊆	CARDINAL
ejpam-6568	155	1	1	CARDINAL
ejpam-6568	156	1	3	CARDINAL
ejpam-6568	156	2	1	CARDINAL
ejpam-6568	156	3	2	CARDINAL
ejpam-6568	157	1	⊆	CARDINAL
ejpam-6568	157	2	3	CARDINAL
ejpam-6568	158	1	⊆	CARDINAL
ejpam-6568	159	1	n. viriyapong	PERSON
ejpam-6568	159	2	a. sama-ae	PERSON
ejpam-6568	159	3	c. boonpok	PERSON
ejpam-6568	160	1	j. pure	PERSON
ejpam-6568	160	2	18	CARDINAL
ejpam-6568	160	3	3	CARDINAL
ejpam-6568	160	4	2025	CARDINAL
ejpam-6568	160	5	6568 6	DATE
ejpam-6568	160	6	18	CARDINAL
ejpam-6568	161	1	1	CARDINAL
ejpam-6568	161	2	2	CARDINAL
ejpam-6568	163	1	2	CARDINAL
ejpam-6568	163	2	x.	GPE
ejpam-6568	163	3	cl⋆(f−1(v	ORG
ejpam-6568	164	1	⊆	CARDINAL
ejpam-6568	165	1	2	CARDINAL
ejpam-6568	165	2	3	CARDINAL
ejpam-6568	166	1	3	CARDINAL
ejpam-6568	168	1	3	CARDINAL
ejpam-6568	168	2	⊆	CARDINAL
ejpam-6568	169	1	x.	GPE
ejpam-6568	169	2	2	CARDINAL
ejpam-6568	170	1	3	CARDINAL
ejpam-6568	171	1	32	CARDINAL
ejpam-6568	171	2	1	CARDINAL
ejpam-6568	172	1	2	CARDINAL
ejpam-6568	173	1	x.	EVENT
ejpam-6568	173	2	1	CARDINAL
ejpam-6568	174	1	1	CARDINAL
ejpam-6568	174	2	2	CARDINAL
ejpam-6568	175	1	⊆	CARDINAL
ejpam-6568	175	2	3	CARDINAL
ejpam-6568	176	1	⊆	CARDINAL
ejpam-6568	177	1	4	CARDINAL
ejpam-6568	177	2	1	CARDINAL
ejpam-6568	177	3	2	CARDINAL
ejpam-6568	178	1	⊆	CARDINAL
ejpam-6568	178	2	σ2)popen	GPE
ejpam-6568	178	3	3	CARDINAL
ejpam-6568	179	1	⊆	CARDINAL
ejpam-6568	179	2	4	CARDINAL
ejpam-6568	180	1	⊆	CARDINAL
ejpam-6568	182	1	1	CARDINAL
ejpam-6568	182	2	2	CARDINAL
ejpam-6568	183	1	2	CARDINAL
ejpam-6568	183	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	184	1	⊆	CARDINAL
ejpam-6568	185	1	2	CARDINAL
ejpam-6568	186	1	2	CARDINAL
ejpam-6568	186	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	187	1	⊆	CARDINAL
ejpam-6568	187	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	188	1	⊆	CARDINAL
ejpam-6568	189	1	3	CARDINAL
ejpam-6568	189	2	4	DATE
ejpam-6568	190	1	3	CARDINAL
ejpam-6568	192	1	n. viriyapong,	PERSON
ejpam-6568	192	2	a. sama-ae	PERSON
ejpam-6568	192	3	c. boonpok	PERSON
ejpam-6568	193	1	j. pure	PERSON
ejpam-6568	193	2	18	CARDINAL
ejpam-6568	193	3	3	CARDINAL
ejpam-6568	193	4	2025	CARDINAL
ejpam-6568	193	5	6568 7	DATE
ejpam-6568	193	6	18	CARDINAL
ejpam-6568	197	1	⊆	CARDINAL
ejpam-6568	198	1	σ1σ2	CARDINAL
ejpam-6568	199	1	⊆	CARDINAL
ejpam-6568	199	2	⊆	CARDINAL
ejpam-6568	200	1	4	CARDINAL
ejpam-6568	201	1	4	CARDINAL
ejpam-6568	201	2	⊆	CARDINAL
ejpam-6568	203	1	x.	GPE
ejpam-6568	203	2	2	CARDINAL
ejpam-6568	204	1	4	CARDINAL
ejpam-6568	205	1	33	CARDINAL
ejpam-6568	206	1	1	CARDINAL
ejpam-6568	208	1	2	CARDINAL
ejpam-6568	209	1	5	CARDINAL
ejpam-6568	209	2	1	CARDINAL
ejpam-6568	209	3	2	CARDINAL
ejpam-6568	210	1	⊆	CARDINAL
ejpam-6568	210	2	3	CARDINAL
ejpam-6568	211	1	⊆	CARDINAL
ejpam-6568	213	1	1	CARDINAL
ejpam-6568	213	2	2	CARDINAL
ejpam-6568	214	1	lemma 4	ORG
ejpam-6568	214	2	2	CARDINAL
ejpam-6568	214	3	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	215	1	⊆	CARDINAL
ejpam-6568	216	1	2	CARDINAL
ejpam-6568	216	2	3	CARDINAL
ejpam-6568	216	3	⊆	CARDINAL
ejpam-6568	217	1	3	CARDINAL
ejpam-6568	218	1	3	CARDINAL
ejpam-6568	223	1	⊆	CARDINAL
ejpam-6568	224	1	x.	GPE
ejpam-6568	224	2	2	CARDINAL
ejpam-6568	225	1	n. viriyapong,	PERSON
ejpam-6568	225	2	a. sama-ae	PERSON
ejpam-6568	225	3	c. boonpok	PERSON
ejpam-6568	226	1	j. pure	PERSON
ejpam-6568	226	2	18	CARDINAL
ejpam-6568	226	3	3	CARDINAL
ejpam-6568	226	4	2025	CARDINAL
ejpam-6568	226	5	6568 8	DATE
ejpam-6568	229	1	2	CARDINAL
ejpam-6568	230	1	∈	ORG
ejpam-6568	230	2	⊆	CARDINAL
ejpam-6568	231	1	x.	EVENT
ejpam-6568	231	2	1	CARDINAL
ejpam-6568	235	1	1	CARDINAL
ejpam-6568	235	2	1	CARDINAL
ejpam-6568	235	3	2	DATE
ejpam-6568	235	4	3	CARDINAL
ejpam-6568	235	5	2	CARDINAL
ejpam-6568	235	6	1	CARDINAL
ejpam-6568	235	7	3	CARDINAL
ejpam-6568	238	1	f(3	ORG
ejpam-6568	239	1	6	CARDINAL
ejpam-6568	239	2	1	CARDINAL
ejpam-6568	239	3	2	CARDINAL
ejpam-6568	240	1	⊆	CARDINAL
ejpam-6568	240	2	3	CARDINAL
ejpam-6568	240	3	⊆	CARDINAL
ejpam-6568	240	4	4	CARDINAL
ejpam-6568	240	5	⊆	CARDINAL
ejpam-6568	240	6	5	CARDINAL
ejpam-6568	241	1	⊆	CARDINAL
ejpam-6568	241	2	6	CARDINAL
ejpam-6568	241	3	⊆	CARDINAL
ejpam-6568	241	4	7	CARDINAL
ejpam-6568	241	5	⊆	CARDINAL
ejpam-6568	241	6	8)	CARDINAL
ejpam-6568	241	7	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	241	8	⊆	CARDINAL
ejpam-6568	242	1	n. viriyapong	PERSON
ejpam-6568	242	2	a. sama-ae	PERSON
ejpam-6568	242	3	c. boonpok	PERSON
ejpam-6568	243	1	j. pure	PERSON
ejpam-6568	243	2	18	CARDINAL
ejpam-6568	243	3	3	CARDINAL
ejpam-6568	243	4	2025	CARDINAL
ejpam-6568	243	5	6568 9	DATE
ejpam-6568	243	6	18	CARDINAL
ejpam-6568	244	1	1	CARDINAL
ejpam-6568	244	2	2	CARDINAL
ejpam-6568	245	1	f(x	ORG
ejpam-6568	246	1	1	CARDINAL
ejpam-6568	246	2	⊆	CARDINAL
ejpam-6568	247	1	⊆	CARDINAL
ejpam-6568	248	1	∈	ORG
ejpam-6568	248	2	⊆	CARDINAL
ejpam-6568	249	1	2	CARDINAL
ejpam-6568	251	1	2	CARDINAL
ejpam-6568	251	2	⊆	CARDINAL
ejpam-6568	253	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	253	2	⊆	CARDINAL
ejpam-6568	254	1	3	CARDINAL
ejpam-6568	254	2	4	DATE
ejpam-6568	255	1	3	CARDINAL
ejpam-6568	255	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	256	1	⊆	CARDINAL
ejpam-6568	257	1	4	CARDINAL
ejpam-6568	258	1	4	CARDINAL
ejpam-6568	261	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	262	1	⊆	CARDINAL
ejpam-6568	264	1	⊆	CARDINAL
ejpam-6568	265	1	5	CARDINAL
ejpam-6568	266	1	5	CARDINAL
ejpam-6568	266	2	⊆	CARDINAL
ejpam-6568	266	3	⊆	CARDINAL
ejpam-6568	267	1	⊆	CARDINAL
ejpam-6568	267	2	4	CARDINAL
ejpam-6568	267	3	6	CARDINAL
ejpam-6568	267	4	6	CARDINAL
ejpam-6568	268	1	7	CARDINAL
ejpam-6568	269	1	7	CARDINAL
ejpam-6568	269	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	270	1	⊆	CARDINAL
ejpam-6568	272	1	3	CARDINAL
ejpam-6568	276	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	278	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	279	1	⊆	CARDINAL
ejpam-6568	280	1	⊆	CARDINAL
ejpam-6568	281	1	7	CARDINAL
ejpam-6568	281	2	1	CARDINAL
ejpam-6568	281	3	2	CARDINAL
ejpam-6568	282	1	⊆	CARDINAL
ejpam-6568	282	2	n. viriyapong	PERSON
ejpam-6568	282	3	a. sama-ae	PERSON
ejpam-6568	282	4	c. boonpok	PERSON
ejpam-6568	283	1	j. pure	PERSON
ejpam-6568	283	2	18	CARDINAL
ejpam-6568	283	3	3	CARDINAL
ejpam-6568	283	4	2025	CARDINAL
ejpam-6568	283	5	6568 10	DATE
ejpam-6568	283	6	18	CARDINAL
ejpam-6568	283	7	3	CARDINAL
ejpam-6568	284	1	⊆	CARDINAL
ejpam-6568	286	1	1	CARDINAL
ejpam-6568	286	2	2	CARDINAL
ejpam-6568	286	3	4	CARDINAL
ejpam-6568	286	4	6	CARDINAL
ejpam-6568	286	5	2	CARDINAL
ejpam-6568	286	6	3	CARDINAL
ejpam-6568	287	1	3	CARDINAL
ejpam-6568	287	2	1	CARDINAL
ejpam-6568	287	3	7	CARDINAL
ejpam-6568	287	4	6	CARDINAL
ejpam-6568	287	5	8	CARDINAL
ejpam-6568	287	6	1	CARDINAL
ejpam-6568	287	7	2	CARDINAL
ejpam-6568	288	1	⊆	CARDINAL
ejpam-6568	288	2	3	CARDINAL
ejpam-6568	289	1	⊆	CARDINAL
ejpam-6568	289	2	4	CARDINAL
ejpam-6568	290	1	⊆	CARDINAL
ejpam-6568	292	1	1	CARDINAL
ejpam-6568	292	2	2	CARDINAL
ejpam-6568	293	1	6	CARDINAL
ejpam-6568	293	2	7	CARDINAL
ejpam-6568	294	1	⊆	CARDINAL
ejpam-6568	295	1	⊆	CARDINAL
ejpam-6568	296	1	2	CARDINAL
ejpam-6568	297	1	2	CARDINAL
ejpam-6568	298	1	⊆	CARDINAL
ejpam-6568	298	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	298	3	⊆	CARDINAL
ejpam-6568	299	1	3	CARDINAL
ejpam-6568	299	2	4	DATE
ejpam-6568	300	1	3	CARDINAL
ejpam-6568	303	1	⊆	CARDINAL
ejpam-6568	305	1	⊆	CARDINAL
ejpam-6568	305	2	⊆	CARDINAL
ejpam-6568	306	1	4	CARDINAL
ejpam-6568	307	1	4	CARDINAL
ejpam-6568	308	1	⊆	CARDINAL
ejpam-6568	309	1	6	CARDINAL
ejpam-6568	309	2	2	CARDINAL
ejpam-6568	310	1	5	CARDINAL
ejpam-6568	311	1	25	CARDINAL
ejpam-6568	311	2	n. viriyapong	PERSON
ejpam-6568	311	3	a. sama-ae	PERSON
ejpam-6568	311	4	c. boonpok	PERSON
ejpam-6568	312	1	j. pure	PERSON
ejpam-6568	312	2	18	CARDINAL
ejpam-6568	312	3	3	CARDINAL
ejpam-6568	312	4	2025	CARDINAL
ejpam-6568	312	5	6568 11	DATE
ejpam-6568	312	6	18	CARDINAL
ejpam-6568	312	7	1	CARDINAL
ejpam-6568	313	1	2	CARDINAL
ejpam-6568	313	2	x.	GPE
ejpam-6568	313	3	9	DATE
ejpam-6568	314	1	1	CARDINAL
ejpam-6568	314	2	2	CARDINAL
ejpam-6568	315	1	⊆	CARDINAL
ejpam-6568	315	2	3	CARDINAL
ejpam-6568	316	1	⊆	CARDINAL
ejpam-6568	318	1	1	CARDINAL
ejpam-6568	318	2	2	CARDINAL
ejpam-6568	319	1	lemma 5	ORG
ejpam-6568	319	2	6	CARDINAL
ejpam-6568	319	3	cl⋆(f−1(σ1σ2-int((σ1	ORG
ejpam-6568	320	1	⊆	CARDINAL
ejpam-6568	321	1	2	CARDINAL
ejpam-6568	321	2	3	CARDINAL
ejpam-6568	322	1	3	CARDINAL
ejpam-6568	326	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	328	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	329	1	⊆	CARDINAL
ejpam-6568	332	1	6	CARDINAL
ejpam-6568	332	2	10	CARDINAL
ejpam-6568	333	1	∈	ORG
ejpam-6568	337	1	⊆	CARDINAL
ejpam-6568	338	1	⊆	CARDINAL
ejpam-6568	338	2	∈	ORG
ejpam-6568	340	1	∈	ORG
ejpam-6568	341	1	∈	ORG
ejpam-6568	341	2	⊆	CARDINAL
ejpam-6568	342	1	⊆	CARDINAL
ejpam-6568	342	2	11	CARDINAL
ejpam-6568	343	1	⊆	CARDINAL
ejpam-6568	345	1	n. viriyapong	PERSON
ejpam-6568	345	2	a. sama-ae	PERSON
ejpam-6568	345	3	c. boonpok	PERSON
ejpam-6568	346	1	j. pure	PERSON
ejpam-6568	346	2	18	CARDINAL
ejpam-6568	346	3	3	CARDINAL
ejpam-6568	346	4	2025	CARDINAL
ejpam-6568	346	5	6568 12	DATE
ejpam-6568	346	6	18	CARDINAL
ejpam-6568	348	1	f(x	ORG
ejpam-6568	349	1	10	CARDINAL
ejpam-6568	349	2	∈	ORG
ejpam-6568	349	3	⊆	CARDINAL
ejpam-6568	352	1	⊆	CARDINAL
ejpam-6568	353	1	10	CARDINAL
ejpam-6568	353	2	x.	GPE
ejpam-6568	353	3	12	CARDINAL
ejpam-6568	355	1	⊆	CARDINAL
ejpam-6568	361	1	f(x	ORG
ejpam-6568	361	2	⊆	CARDINAL
ejpam-6568	362	1	f(u)∩v ̸= ∅	ORG
ejpam-6568	364	1	⊆	CARDINAL
ejpam-6568	368	1	⊆	CARDINAL
ejpam-6568	370	1	⊆	CARDINAL
ejpam-6568	371	1	⊆	CARDINAL
ejpam-6568	371	2	⊆	CARDINAL
ejpam-6568	372	1	11	CARDINAL
ejpam-6568	372	2	13	CARDINAL
ejpam-6568	373	1	1	CARDINAL
ejpam-6568	373	2	2	CARDINAL
ejpam-6568	373	3	⊆	CARDINAL
ejpam-6568	374	1	3	CARDINAL
ejpam-6568	374	2	⊆	CARDINAL
ejpam-6568	374	3	4	CARDINAL
ejpam-6568	375	1	⊆	CARDINAL
ejpam-6568	375	2	5	CARDINAL
ejpam-6568	376	1	⊆	CARDINAL
ejpam-6568	376	2	6	CARDINAL
ejpam-6568	376	3	⊆	CARDINAL
ejpam-6568	378	1	1	CARDINAL
ejpam-6568	378	2	2	CARDINAL
ejpam-6568	378	3	11	CARDINAL
ejpam-6568	379	1	2	CARDINAL
ejpam-6568	380	1	2	CARDINAL
ejpam-6568	380	2	⊆	CARDINAL
ejpam-6568	384	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	384	2	⊆	CARDINAL
ejpam-6568	385	1	n. viriyapong,	PERSON
ejpam-6568	385	2	a. sama-ae	PERSON
ejpam-6568	385	3	c. boonpok	PERSON
ejpam-6568	386	1	j. pure	PERSON
ejpam-6568	386	2	18	CARDINAL
ejpam-6568	386	3	3	CARDINAL
ejpam-6568	386	4	2025	CARDINAL
ejpam-6568	386	5	6568 13	DATE
ejpam-6568	386	6	18	CARDINAL
ejpam-6568	386	7	3	CARDINAL
ejpam-6568	386	8	4	DATE
ejpam-6568	388	1	3	CARDINAL
ejpam-6568	388	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	388	3	⊆	CARDINAL
ejpam-6568	389	1	4	CARDINAL
ejpam-6568	390	1	4	CARDINAL
ejpam-6568	393	1	⊆	CARDINAL
ejpam-6568	393	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	395	1	5	CARDINAL
ejpam-6568	395	2	6	DATE
ejpam-6568	396	1	∩	PERSON
ejpam-6568	396	2	5	CARDINAL
ejpam-6568	396	3	⊆	CARDINAL
ejpam-6568	396	4	f(g	ORG
ejpam-6568	401	1	⊆	CARDINAL
ejpam-6568	402	1	6	CARDINAL
ejpam-6568	403	1	⊆	CARDINAL
ejpam-6568	403	2	6	CARDINAL
ejpam-6568	403	3	⊆	CARDINAL
ejpam-6568	406	1	⊆	CARDINAL
ejpam-6568	408	1	⊆	CARDINAL
ejpam-6568	409	1	⊆	CARDINAL
ejpam-6568	410	1	x.	GPE
ejpam-6568	410	2	14	DATE
ejpam-6568	411	1	1	CARDINAL
ejpam-6568	411	2	2	CARDINAL
ejpam-6568	412	1	⊆	CARDINAL
ejpam-6568	412	2	3	CARDINAL
ejpam-6568	412	3	⊆	CARDINAL
ejpam-6568	412	4	4	CARDINAL
ejpam-6568	412	5	⊆	CARDINAL
ejpam-6568	414	1	1	CARDINAL
ejpam-6568	414	2	2	CARDINAL
ejpam-6568	415	1	13	CARDINAL
ejpam-6568	415	2	6	CARDINAL
ejpam-6568	415	3	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	416	1	⊆	CARDINAL
ejpam-6568	418	1	2	CARDINAL
ejpam-6568	420	1	⊆	CARDINAL
ejpam-6568	421	1	⊆	CARDINAL
ejpam-6568	421	2	n. viriyapong,	PERSON
ejpam-6568	421	3	a. sama-ae	PERSON
ejpam-6568	421	4	c. boonpok	PERSON
ejpam-6568	422	1	j. pure	PERSON
ejpam-6568	422	2	18	CARDINAL
ejpam-6568	422	3	3	CARDINAL
ejpam-6568	422	4	2025	CARDINAL
ejpam-6568	422	5	6568 14 of 18	DATE
ejpam-6568	423	1	2	CARDINAL
ejpam-6568	423	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	423	3	⊆	CARDINAL
ejpam-6568	424	1	3	CARDINAL
ejpam-6568	424	2	4	DATE
ejpam-6568	425	1	4	CARDINAL
ejpam-6568	427	1	4	CARDINAL
ejpam-6568	428	1	⊆	CARDINAL
ejpam-6568	428	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	428	3	⊆	CARDINAL
ejpam-6568	428	4	13	CARDINAL
ejpam-6568	428	5	6	CARDINAL
ejpam-6568	428	6	15	CARDINAL
ejpam-6568	429	1	1	CARDINAL
ejpam-6568	429	2	2	CARDINAL
ejpam-6568	430	1	⊆	CARDINAL
ejpam-6568	430	2	3	CARDINAL
ejpam-6568	431	1	⊆	CARDINAL
ejpam-6568	431	2	4	CARDINAL
ejpam-6568	432	1	⊆	CARDINAL
ejpam-6568	434	1	1	CARDINAL
ejpam-6568	434	2	2	CARDINAL
ejpam-6568	436	1	⊆	CARDINAL
ejpam-6568	437	1	14	CARDINAL
ejpam-6568	437	2	2	CARDINAL
ejpam-6568	437	3	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	438	1	⊆	CARDINAL
ejpam-6568	439	1	2	CARDINAL
ejpam-6568	439	2	3	CARDINAL
ejpam-6568	440	1	3	CARDINAL
ejpam-6568	440	2	4	DATE
ejpam-6568	441	1	3	CARDINAL
ejpam-6568	441	2	⊆	CARDINAL
ejpam-6568	444	1	⊆	CARDINAL
ejpam-6568	446	1	4	CARDINAL
ejpam-6568	448	1	4	CARDINAL
ejpam-6568	448	2	13	CARDINAL
ejpam-6568	448	3	2	CARDINAL
ejpam-6568	448	4	16	CARDINAL
ejpam-6568	449	1	1	CARDINAL
ejpam-6568	449	2	2	CARDINAL
ejpam-6568	450	1	⊆	CARDINAL
ejpam-6568	450	2	n. viriyapong	PERSON
ejpam-6568	450	3	a. sama-ae	PERSON
ejpam-6568	450	4	c. boonpok	PERSON
ejpam-6568	451	1	j. pure	PERSON
ejpam-6568	451	2	18	CARDINAL
ejpam-6568	451	3	3	CARDINAL
ejpam-6568	451	4	2025	CARDINAL
ejpam-6568	451	5	6568 15	DATE
ejpam-6568	451	6	18	CARDINAL
ejpam-6568	451	7	3	CARDINAL
ejpam-6568	452	1	⊆	CARDINAL
ejpam-6568	452	2	4	CARDINAL
ejpam-6568	453	1	⊆	CARDINAL
ejpam-6568	453	2	5	CARDINAL
ejpam-6568	453	3	⊆	CARDINAL
ejpam-6568	453	4	6	CARDINAL
ejpam-6568	454	1	⊆	CARDINAL
ejpam-6568	454	2	7	CARDINAL
ejpam-6568	455	1	⊆	CARDINAL
ejpam-6568	457	1	1	CARDINAL
ejpam-6568	457	2	2	CARDINAL
ejpam-6568	459	1	∩	PERSON
ejpam-6568	459	2	σ1σ2	CARDINAL
ejpam-6568	461	1	⊆	CARDINAL
ejpam-6568	462	1	w ∩	NORP
ejpam-6568	463	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	464	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	464	2	⊆	CARDINAL
ejpam-6568	465	1	2	CARDINAL
ejpam-6568	466	1	2	CARDINAL
ejpam-6568	466	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	468	1	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	469	1	⊆	CARDINAL
ejpam-6568	471	1	3	CARDINAL
ejpam-6568	471	2	4	DATE
ejpam-6568	473	1	3	CARDINAL
ejpam-6568	474	1	⊆	CARDINAL
ejpam-6568	474	2	cl⋆(f−1(σ1σ2	ORG
ejpam-6568	474	3	⊆	CARDINAL
ejpam-6568	475	1	4	CARDINAL
ejpam-6568	476	1	y −σ1σ2-cl(v	PERSON
ejpam-6568	476	2	4	CARDINAL
ejpam-6568	478	1	⊆	CARDINAL
ejpam-6568	479	1	⊆	CARDINAL
ejpam-6568	479	2	⊆	CARDINAL
ejpam-6568	480	1	5	CARDINAL
ejpam-6568	481	1	5	CARDINAL
ejpam-6568	481	2	⊆	CARDINAL
ejpam-6568	483	1	w	GPE
ejpam-6568	484	1	⊆	CARDINAL
ejpam-6568	486	1	1	CARDINAL
ejpam-6568	486	2	6	DATE
ejpam-6568	487	1	f(x	ORG
ejpam-6568	487	2	⊆	CARDINAL
ejpam-6568	488	1	⊆	CARDINAL
ejpam-6568	488	2	n. viriyapong,	PERSON
ejpam-6568	488	3	a. sama-ae	PERSON
ejpam-6568	488	4	c. boonpok	PERSON
ejpam-6568	489	1	j. pure	PERSON
ejpam-6568	489	2	18	CARDINAL
ejpam-6568	489	3	3	CARDINAL
ejpam-6568	489	4	2025	CARDINAL
ejpam-6568	489	5	6568 16	DATE
ejpam-6568	489	6	18 ⊆	CARDINAL
ejpam-6568	490	1	⊆	CARDINAL
ejpam-6568	490	2	⊆	CARDINAL
ejpam-6568	491	1	⊆	CARDINAL
ejpam-6568	495	1	⊆	CARDINAL
ejpam-6568	496	1	6	CARDINAL
ejpam-6568	498	1	6	CARDINAL
ejpam-6568	501	1	⊆	CARDINAL
ejpam-6568	502	1	σ1σ2	CARDINAL
ejpam-6568	504	1	⊆	CARDINAL
ejpam-6568	504	2	⊆	CARDINAL
ejpam-6568	505	1	7	CARDINAL
ejpam-6568	506	1	7	CARDINAL
ejpam-6568	507	1	⊆	CARDINAL
ejpam-6568	509	1	⊆	CARDINAL
ejpam-6568	510	1	x.	GPE
ejpam-6568	510	2	17	CARDINAL
ejpam-6568	511	1	1	CARDINAL
ejpam-6568	511	2	2	CARDINAL
ejpam-6568	512	1	⊆	CARDINAL
ejpam-6568	512	2	3	CARDINAL
ejpam-6568	513	1	⊆	CARDINAL
ejpam-6568	515	1	1	CARDINAL
ejpam-6568	515	2	2	CARDINAL
ejpam-6568	515	3	x.	ORG
ejpam-6568	515	4	∈	ORG
ejpam-6568	516	1	⊆	CARDINAL
ejpam-6568	517	1	∈	ORG
ejpam-6568	517	2	⊆	CARDINAL
ejpam-6568	518	1	f(x) ∈	ORG
ejpam-6568	519	1	⊆	CARDINAL
ejpam-6568	520	1	2	CARDINAL
ejpam-6568	521	1	f(cl⋆(f−1(b	LANGUAGE
ejpam-6568	522	1	⊆	CARDINAL
ejpam-6568	522	2	⊆	CARDINAL
ejpam-6568	522	3	n. viriyapong,	PERSON
ejpam-6568	522	4	a. sama-ae	PERSON
ejpam-6568	522	5	c. boonpok	PERSON
ejpam-6568	523	1	j. pure	PERSON
ejpam-6568	523	2	18	CARDINAL
ejpam-6568	523	3	3	CARDINAL
ejpam-6568	523	4	2025	CARDINAL
ejpam-6568	523	5	6568 17	DATE
ejpam-6568	523	6	18	DATE
ejpam-6568	524	1	⊆	CARDINAL
ejpam-6568	525	1	3	CARDINAL
ejpam-6568	526	1	∩	PERSON
ejpam-6568	526	2	f(x	ORG
ejpam-6568	527	1	3	CARDINAL
ejpam-6568	528	1	u ∩ f−1(y	ORG
ejpam-6568	528	2	σ1σ2	CARDINAL
ejpam-6568	529	1	f(u	PERSON
ejpam-6568	530	1	⊆	CARDINAL
ejpam-6568	530	2	x.	GPE
ejpam-6568	531	1	1	CARDINAL
ejpam-6568	531	2	m. k. singal	PERSON
ejpam-6568	531	3	a. r. singal	PERSON
ejpam-6568	533	1	yokohama mathematical journal	ORG
ejpam-6568	533	2	16:63–73,	DATE
ejpam-6568	533	3	1968	DATE
ejpam-6568	534	1	2	CARDINAL
ejpam-6568	534	2	b. m. munshi	PERSON
ejpam-6568	534	3	d. s.	PERSON
ejpam-6568	536	1	49:239–248, 1981	DATE
ejpam-6568	537	1	3	CARDINAL
ejpam-6568	539	1	kyungpook mathematical journal	ORG
ejpam-6568	539	2	28:71–77, 1988	DATE
ejpam-6568	540	1	4	CARDINAL
ejpam-6568	540	2	a. a. nasef	PERSON
ejpam-6568	542	1	acta mathematica hungarica	PERSON
ejpam-6568	542	2	74(3):211–219, 1997	DATE
ejpam-6568	543	1	5	CARDINAL
ejpam-6568	543	2	n. levine	PERSON
ejpam-6568	545	1	american	NORP
ejpam-6568	545	2	monthly	DATE
ejpam-6568	545	3	68:44–46, 1961	DATE
ejpam-6568	546	1	6	CARDINAL
ejpam-6568	548	1	prace matematyczne	PERSON
ejpam-6568	548	2	10:1–7, 1966	DATE
ejpam-6568	549	1	7	CARDINAL
ejpam-6568	550	1	d. s. janković. θ	PERSON
ejpam-6568	551	1	8:615–619, 1985	DATE
ejpam-6568	552	1	8	CARDINAL
ejpam-6568	554	1	international journal of mathematics	ORG
ejpam-6568	554	2	10(1):97–111, 1987	DATE
ejpam-6568	555	1	9	CARDINAL
ejpam-6568	555	2	d. a.	PERSON
ejpam-6568	557	1	7:311–318, 1984	DATE
ejpam-6568	558	1	10	CARDINAL
ejpam-6568	560	1	del circolo matematico di palermo	PERSON
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ejpam-6568	596	1	22	CARDINAL
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ejpam-6568	622	1	31	CARDINAL
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