id	sid	eid	entity	type
ejpam-4479	1	1	european journal	ORG
ejpam-4479	2	1	15	CARDINAL
ejpam-4479	2	2	4	CARDINAL
ejpam-4479	2	3	2022	DATE
ejpam-4479	2	4	1482-1497	CARDINAL
ejpam-4479	2	5	1307-5543	DATE
ejpam-4479	3	1	new york	GPE
ejpam-4479	3	2	kenneth c. engcot1,∗	PERSON
ejpam-4479	3	3	gaudencio c. petalcorin	PERSON
ejpam-4479	3	4	jr.2 1	ORG
ejpam-4479	3	5	university of san carlos	ORG
ejpam-4479	3	6	6000	CARDINAL
ejpam-4479	3	7	cebu city	GPE
ejpam-4479	3	8	philippines 2 department	ORG
ejpam-4479	3	9	institute of science	ORG
ejpam-4479	3	10	mindanao state university-iligan institute of technology	ORG
ejpam-4479	3	11	9200	CARDINAL
ejpam-4479	3	12	iligan city	GPE
ejpam-4479	3	13	philippines	GPE
ejpam-4479	6	1	2020	DATE
ejpam-4479	6	2	14l17	CARDINAL
ejpam-4479	6	3	1	CARDINAL
ejpam-4479	7	1	scandinavian	NORP
ejpam-4479	7	2	1954	DATE
ejpam-4479	8	1	9	CARDINAL
ejpam-4479	9	1	first	ORDINAL
ejpam-4479	10	1	3	CARDINAL
ejpam-4479	10	2	2016	DATE
ejpam-4479	12	1	molodtsov	PERSON
ejpam-4479	12	2	10	CARDINAL
ejpam-4479	12	3	1999	DATE
ejpam-4479	15	1	2003	DATE
ejpam-4479	15	2	8	CARDINAL
ejpam-4479	16	1	ali	PERSON
ejpam-4479	17	1	2	CARDINAL
ejpam-4479	17	2	2009	DATE
ejpam-4479	18	1	1	CARDINAL
ejpam-4479	18	2	2015	CARDINAL
ejpam-4479	21	1	edu.ph	GPE
ejpam-4479	21	2	gaudencio.petalcorin@g.msuiit.edu.ph	PERSON
ejpam-4479	21	3	1482	CARDINAL
ejpam-4479	22	1	2022	CARDINAL
ejpam-4479	23	1	m.k. engcot	PERSON
ejpam-4479	23	2	g. petalcorin	PERSON
ejpam-4479	24	1	j. pure	PERSON
ejpam-4479	24	2	15	CARDINAL
ejpam-4479	24	3	4	CARDINAL
ejpam-4479	24	4	2022	CARDINAL
ejpam-4479	24	5	1482-1497	CARDINAL
ejpam-4479	24	6	2,0	CARDINAL
ejpam-4479	25	1	1	CARDINAL
ejpam-4479	26	1	3	CARDINAL
ejpam-4479	26	2	∈	ORG
ejpam-4479	26	3	hgr1	GPE
ejpam-4479	26	4	z)⊛	PERSON
ejpam-4479	27	1	z)⊛	PERSON
ejpam-4479	27	2	0⊛	CARDINAL
ejpam-4479	27	3	hgr5	ORG
ejpam-4479	28	1	z. example 1	PERSON
ejpam-4479	29	1	3	CARDINAL
ejpam-4479	29	2	0	CARDINAL
ejpam-4479	29	3	1	DATE
ejpam-4479	29	4	2	CARDINAL
ejpam-4479	30	1	0 1 2	QUANTITY
ejpam-4479	30	2	0	CARDINAL
ejpam-4479	30	3	0	CARDINAL
ejpam-4479	30	4	0	CARDINAL
ejpam-4479	30	5	1	CARDINAL
ejpam-4479	30	6	0	CARDINAL
ejpam-4479	30	7	1	DATE
ejpam-4479	30	8	2	CARDINAL
ejpam-4479	30	9	0	CARDINAL
ejpam-4479	30	10	1	CARDINAL
ejpam-4479	30	11	0	CARDINAL
ejpam-4479	30	12	1	CARDINAL
ejpam-4479	30	13	2	CARDINAL
ejpam-4479	30	14	0	CARDINAL
ejpam-4479	30	15	2	CARDINAL
ejpam-4479	30	16	0	CARDINAL
ejpam-4479	30	17	1	DATE
ejpam-4479	30	18	2	CARDINAL
ejpam-4479	30	19	0	CARDINAL
ejpam-4479	30	20	2	CARDINAL
ejpam-4479	32	1	2	CARDINAL
ejpam-4479	33	1	3	CARDINAL
ejpam-4479	34	1	y,∈	PERSON
ejpam-4479	34	2	0	CARDINAL
ejpam-4479	36	1	2	CARDINAL
ejpam-4479	37	1	3	CARDINAL
ejpam-4479	37	2	⊆	CARDINAL
ejpam-4479	37	3	0	CARDINAL
ejpam-4479	37	4	3	CARDINAL
ejpam-4479	38	1	0	CARDINAL
ejpam-4479	38	2	1	DATE
ejpam-4479	38	3	2	CARDINAL
ejpam-4479	38	4	example 1	DATE
ejpam-4479	39	1	3	CARDINAL
ejpam-4479	40	1	4	CARDINAL
ejpam-4479	43	1	one	CARDINAL
ejpam-4479	44	1	m.k. engcot	PERSON
ejpam-4479	44	2	g. petalcorin	PERSON
ejpam-4479	45	1	j. pure	PERSON
ejpam-4479	45	2	15	CARDINAL
ejpam-4479	45	3	4	CARDINAL
ejpam-4479	45	4	2022	CARDINAL
ejpam-4479	45	5	1482-1497 1484	CARDINAL
ejpam-4479	45	6	4	CARDINAL
ejpam-4479	46	1	3	CARDINAL
ejpam-4479	47	1	h. lemma	PERSON
ejpam-4479	48	1	1	CARDINAL
ejpam-4479	49	1	4	CARDINAL
ejpam-4479	50	1	f(s	GPE
ejpam-4479	51	1	1	CARDINAL
ejpam-4479	52	1	3	CARDINAL
ejpam-4479	54	1	⊆	CARDINAL
ejpam-4479	54	2	2	CARDINAL
ejpam-4479	55	1	3	CARDINAL
ejpam-4479	55	2	i∈	ORG
ejpam-4479	56	1	5	CARDINAL
ejpam-4479	57	1	6	CARDINAL
ejpam-4479	58	1	⊂	GPE
ejpam-4479	59	1	fa	ORG
ejpam-4479	60	1	fa	ORG
ejpam-4479	61	1	fa	ORG
ejpam-4479	61	2	fa	ORG
ejpam-4479	63	1	7	CARDINAL
ejpam-4479	64	1	6	CARDINAL
ejpam-4479	65	1	5	CARDINAL
ejpam-4479	65	2	two	CARDINAL
ejpam-4479	69	1	7	CARDINAL
ejpam-4479	70	1	5	CARDINAL
ejpam-4479	70	2	two	CARDINAL
ejpam-4479	74	1	∈	ORG
ejpam-4479	76	1	m.k. engcot	PERSON
ejpam-4479	76	2	g. petalcorin	PERSON
ejpam-4479	77	1	j. pure	PERSON
ejpam-4479	77	2	15	CARDINAL
ejpam-4479	77	3	4	CARDINAL
ejpam-4479	77	4	2022	CARDINAL
ejpam-4479	77	5	1482-1497 1485	QUANTITY
ejpam-4479	77	6	8	DATE
ejpam-4479	78	1	5	CARDINAL
ejpam-4479	78	2	two	CARDINAL
ejpam-4479	78	3	h(α	NORP
ejpam-4479	79	1	9	CARDINAL
ejpam-4479	80	1	5	CARDINAL
ejpam-4479	80	2	two	CARDINAL
ejpam-4479	80	3	h(α	NORP
ejpam-4479	81	1	10	CARDINAL
ejpam-4479	82	1	5	CARDINAL
ejpam-4479	82	2	two	CARDINAL
ejpam-4479	82	3	⊆	CARDINAL
ejpam-4479	83	1	11	CARDINAL
ejpam-4479	84	1	6	CARDINAL
ejpam-4479	84	2	τ ⊆	ORG
ejpam-4479	86	1	⊆	CARDINAL
ejpam-4479	87	1	11	DATE
ejpam-4479	87	2	6	CARDINAL
ejpam-4479	87	3	1.	CARDINAL
ejpam-4479	88	1	2	CARDINAL
ejpam-4479	88	2	⊆	CARDINAL
ejpam-4479	88	3	∈	ORG
ejpam-4479	88	4	3	CARDINAL
ejpam-4479	88	5	⊆	CARDINAL
ejpam-4479	88	6	⊆	CARDINAL
ejpam-4479	88	7	∀τ1	GPE
ejpam-4479	88	8	⊆	CARDINAL
ejpam-4479	89	1	3	CARDINAL
ejpam-4479	89	2	⊆	CARDINAL
ejpam-4479	91	1	⋃	PERSON
ejpam-4479	91	2	⊂	GPE
ejpam-4479	91	3	12	DATE
ejpam-4479	92	1	⋃	TIME
ejpam-4479	92	2	b⊂h	GPE
ejpam-4479	92	3	∈	ORG
ejpam-4479	92	4	4	CARDINAL
ejpam-4479	93	1	0	CARDINAL
ejpam-4479	93	2	1	DATE
ejpam-4479	93	3	2	DATE
ejpam-4479	93	4	3	CARDINAL
ejpam-4479	95	1	0 1 2 3 0	QUANTITY
ejpam-4479	95	2	0,1	CARDINAL
ejpam-4479	95	3	0,1	CARDINAL
ejpam-4479	95	4	0,1	CARDINAL
ejpam-4479	95	5	0,1	CARDINAL
ejpam-4479	95	6	1	CARDINAL
ejpam-4479	95	7	1	CARDINAL
ejpam-4479	95	8	0,1	CARDINAL
ejpam-4479	95	9	0,1	CARDINAL
ejpam-4479	95	10	0,1	CARDINAL
ejpam-4479	95	11	2	CARDINAL
ejpam-4479	95	12	0,1,2	CARDINAL
ejpam-4479	95	13	0,1,2	CARDINAL
ejpam-4479	95	14	3	CARDINAL
ejpam-4479	95	15	3	CARDINAL
ejpam-4479	96	1	m.k. engcot	PERSON
ejpam-4479	96	2	g. petalcorin	PERSON
ejpam-4479	97	1	j. pure	PERSON
ejpam-4479	97	2	15	CARDINAL
ejpam-4479	97	3	4	CARDINAL
ejpam-4479	97	4	2022	CARDINAL
ejpam-4479	97	5	1482-1497 1486	CARDINAL
ejpam-4479	97	6	1	CARDINAL
ejpam-4479	99	1	⊂	GPE
ejpam-4479	99	2	∈	ORG
ejpam-4479	99	3	⋃	TIME
ejpam-4479	99	4	b⊂h	GPE
ejpam-4479	99	5	arb⇔b	PERSON
ejpam-4479	99	6	∈	ORG
ejpam-4479	100	1	0	CARDINAL
ejpam-4479	100	2	1	CARDINAL
ejpam-4479	100	3	1	CARDINAL
ejpam-4479	100	4	0	CARDINAL
ejpam-4479	100	5	1	CARDINAL
ejpam-4479	100	6	2	CARDINAL
ejpam-4479	100	7	0	CARDINAL
ejpam-4479	100	8	1	DATE
ejpam-4479	100	9	2	CARDINAL
ejpam-4479	100	10	3	CARDINAL
ejpam-4479	100	11	0	CARDINAL
ejpam-4479	100	12	1	DATE
ejpam-4479	100	13	3	CARDINAL
ejpam-4479	102	1	1	CARDINAL
ejpam-4479	102	2	0	CARDINAL
ejpam-4479	102	3	1	CARDINAL
ejpam-4479	103	1	0	CARDINAL
ejpam-4479	104	1	0	CARDINAL
ejpam-4479	104	2	1	CARDINAL
ejpam-4479	104	3	1	CARDINAL
ejpam-4479	104	4	1	CARDINAL
ejpam-4479	104	5	0	CARDINAL
ejpam-4479	104	6	1	CARDINAL
ejpam-4479	104	7	1⊛	CARDINAL
ejpam-4479	105	1	1	CARDINAL
ejpam-4479	105	2	1	CARDINAL
ejpam-4479	105	3	1	CARDINAL
ejpam-4479	106	1	2	CARDINAL
ejpam-4479	106	2	3	CARDINAL
ejpam-4479	108	1	5	CARDINAL
ejpam-4479	109	1	0	CARDINAL
ejpam-4479	109	2	1	DATE
ejpam-4479	109	3	2	DATE
ejpam-4479	109	4	3	CARDINAL
ejpam-4479	109	5	example 4	DATE
ejpam-4479	110	1	0	CARDINAL
ejpam-4479	110	2	1	CARDINAL
ejpam-4479	110	3	0	CARDINAL
ejpam-4479	110	4	1	DATE
ejpam-4479	110	5	2	CARDINAL
ejpam-4479	110	6	0	CARDINAL
ejpam-4479	110	7	1	CARDINAL
ejpam-4479	110	8	0	CARDINAL
ejpam-4479	110	9	1	DATE
ejpam-4479	110	10	3	CARDINAL
ejpam-4479	111	1	⋃	TIME
ejpam-4479	111	2	b⊂h	GPE
ejpam-4479	111	3	ar̊b	ORG
ejpam-4479	111	4	0	CARDINAL
ejpam-4479	111	5	1	DATE
ejpam-4479	111	6	2	CARDINAL
ejpam-4479	111	7	⋃	TIME
ejpam-4479	111	8	b⊂h	GPE
ejpam-4479	111	9	0	CARDINAL
ejpam-4479	111	10	1	DATE
ejpam-4479	111	11	3	CARDINAL
ejpam-4479	111	12	r̊.	ORG
ejpam-4479	111	13	6	CARDINAL
ejpam-4479	112	1	0	CARDINAL
ejpam-4479	112	2	1	DATE
ejpam-4479	112	3	2	DATE
ejpam-4479	112	4	3	CARDINAL
ejpam-4479	112	5	example 4	DATE
ejpam-4479	113	1	1	CARDINAL
ejpam-4479	113	2	3	CARDINAL
ejpam-4479	113	3	2	CARDINAL
ejpam-4479	114	1	⋃	TIME
ejpam-4479	114	2	b⊂h	GPE
ejpam-4479	114	3	ar̊b	ORG
ejpam-4479	114	4	0	CARDINAL
ejpam-4479	114	5	1	DATE
ejpam-4479	114	6	3	CARDINAL
ejpam-4479	115	1	⋃	TIME
ejpam-4479	115	2	b⊂h	GPE
ejpam-4479	115	3	ar̊b	ORG
ejpam-4479	115	4	0	CARDINAL
ejpam-4479	115	5	2	CARDINAL
ejpam-4479	116	1	0⊛	CARDINAL
ejpam-4479	117	1	0	CARDINAL
ejpam-4479	117	2	1	CARDINAL
ejpam-4479	120	1	3	CARDINAL
ejpam-4479	121	1	⊆	CARDINAL
ejpam-4479	121	2	∈	ORG
ejpam-4479	121	3	⊆	CARDINAL
ejpam-4479	121	4	∈	ORG
ejpam-4479	122	1	two	CARDINAL
ejpam-4479	122	2	a∩b ̸=	ORG
ejpam-4479	122	3	g. petalcorin	PERSON
ejpam-4479	123	1	j. pure	PERSON
ejpam-4479	123	2	15	CARDINAL
ejpam-4479	123	3	4	CARDINAL
ejpam-4479	123	4	2022	CARDINAL
ejpam-4479	123	5	1482-1497 1487	CARDINAL
ejpam-4479	123	6	6	CARDINAL
ejpam-4479	124	1	d(x	ORG
ejpam-4479	125	1	∈	ORG
ejpam-4479	125	2	two hyper	QUANTITY
ejpam-4479	125	3	d(x	ORG
ejpam-4479	126	1	d(x	ORG
ejpam-4479	127	1	∈	ORG
ejpam-4479	128	1	two	CARDINAL
ejpam-4479	128	2	a∩b = ∅	PERSON
ejpam-4479	130	1	∈	ORG
ejpam-4479	130	2	∈	ORG
ejpam-4479	130	3	∈	ORG
ejpam-4479	131	1	∈	ORG
ejpam-4479	131	2	∈	ORG
ejpam-4479	131	3	∈	ORG
ejpam-4479	131	4	∈	ORG
ejpam-4479	132	1	∈	ORG
ejpam-4479	132	2	\a	NORP
ejpam-4479	132	3	j(x	PERSON
ejpam-4479	135	1	8	DATE
ejpam-4479	136	1	f ∩ g)(x	ORG
ejpam-4479	136	2	j(x	PERSON
ejpam-4479	136	3	j,a×b	WORK_OF_ART
ejpam-4479	136	4	13	DATE
ejpam-4479	138	1	0	CARDINAL
ejpam-4479	138	2	∈	ORG
ejpam-4479	138	3	7	CARDINAL
ejpam-4479	139	1	0	CARDINAL
ejpam-4479	139	2	1	CARDINAL
ejpam-4479	141	1	0 1	CARDINAL
ejpam-4479	141	2	0	CARDINAL
ejpam-4479	141	3	0	CARDINAL
ejpam-4479	141	4	1	CARDINAL
ejpam-4479	141	5	0	CARDINAL
ejpam-4479	141	6	0	CARDINAL
ejpam-4479	143	1	⋃	TIME
ejpam-4479	143	2	b⊂h	GPE
ejpam-4479	144	1	1	CARDINAL
ejpam-4479	144	2	2	CARDINAL
ejpam-4479	144	3	0	CARDINAL
ejpam-4479	145	1	h. m.k. engcot	ORG
ejpam-4479	145	2	g. petalcorin	PERSON
ejpam-4479	146	1	j. pure	PERSON
ejpam-4479	146	2	15	CARDINAL
ejpam-4479	146	3	4	CARDINAL
ejpam-4479	146	4	2022	CARDINAL
ejpam-4479	146	5	1482-1497 1488	CARDINAL
ejpam-4479	146	6	8	CARDINAL
ejpam-4479	147	1	0	CARDINAL
ejpam-4479	147	2	1	DATE
ejpam-4479	147	3	2	CARDINAL
ejpam-4479	148	1	0 1 2	QUANTITY
ejpam-4479	148	2	0	CARDINAL
ejpam-4479	148	3	0	CARDINAL
ejpam-4479	148	4	0	CARDINAL
ejpam-4479	148	5	1	CARDINAL
ejpam-4479	148	6	0,1,2	CARDINAL
ejpam-4479	148	7	0,1	CARDINAL
ejpam-4479	148	8	0,1	CARDINAL
ejpam-4479	148	9	2	CARDINAL
ejpam-4479	148	10	0,1,2	CARDINAL
ejpam-4479	148	11	0,1,2	CARDINAL
ejpam-4479	150	1	⋃	TIME
ejpam-4479	150	2	b⊂h	GPE
ejpam-4479	150	3	⊂	GPE
ejpam-4479	150	4	0	CARDINAL
ejpam-4479	151	1	1	CARDINAL
ejpam-4479	151	2	2	CARDINAL
ejpam-4479	151	3	0	CARDINAL
ejpam-4479	151	4	1	DATE
ejpam-4479	151	5	2	CARDINAL
ejpam-4479	151	6	h. lemma	PERSON
ejpam-4479	152	1	2	CARDINAL
ejpam-4479	153	1	f(f	ORG
ejpam-4479	154	1	∈	ORG
ejpam-4479	154	2	f(f	ORG
ejpam-4479	154	3	1	CARDINAL
ejpam-4479	155	1	f(f	ORG
ejpam-4479	157	1	f(f	ORG
ejpam-4479	158	1	⊆	CARDINAL
ejpam-4479	158	2	f(f	ORG
ejpam-4479	159	1	f(f	ORG
ejpam-4479	159	2	one	CARDINAL
ejpam-4479	161	1	f(f	ORG
ejpam-4479	162	1	⊆	CARDINAL
ejpam-4479	162	2	f(f	ORG
ejpam-4479	162	3	0y	CARDINAL
ejpam-4479	162	4	f(f	ORG
ejpam-4479	162	5	13	CARDINAL
ejpam-4479	162	6	lemma 2.	ORG
ejpam-4479	162	7	f(f	ORG
ejpam-4479	163	1	f(f	ORG
ejpam-4479	163	2	0y	CARDINAL
ejpam-4479	163	3	∈	ORG
ejpam-4479	163	4	⊆	CARDINAL
ejpam-4479	164	1	∈	ORG
ejpam-4479	164	2	f(f	ORG
ejpam-4479	165	1	13	CARDINAL
ejpam-4479	165	2	lemma 2	ORG
ejpam-4479	165	3	f(f	ORG
ejpam-4479	166	1	g. petalcorin	PERSON
ejpam-4479	167	1	j. pure	PERSON
ejpam-4479	167	2	15	CARDINAL
ejpam-4479	167	3	4	CARDINAL
ejpam-4479	167	4	2022	CARDINAL
ejpam-4479	167	5	1482-1497 1489	CARDINAL
ejpam-4479	167	6	f(f	ORG
ejpam-4479	168	1	f(f	ORG
ejpam-4479	169	1	∈	ORG
ejpam-4479	169	2	f(h	ORG
ejpam-4479	170	1	⊆	CARDINAL
ejpam-4479	171	1	∈	ORG
ejpam-4479	171	2	∈	ORG
ejpam-4479	171	3	f(x	ORG
ejpam-4479	173	1	one	CARDINAL
ejpam-4479	174	1	∈	ORG
ejpam-4479	177	1	14	DATE
ejpam-4479	178	1	two	CARDINAL
ejpam-4479	179	1	⊆	CARDINAL
ejpam-4479	179	2	∈	ORG
ejpam-4479	179	3	9	CARDINAL
ejpam-4479	180	1	example 8	DATE
ejpam-4479	182	1	⋃	TIME
ejpam-4479	182	2	b⊂h	GPE
ejpam-4479	182	3	∈	ORG
ejpam-4479	183	1	0	CARDINAL
ejpam-4479	183	2	g(1	PRODUCT
ejpam-4479	183	3	⋃	PERSON
ejpam-4479	183	4	0	CARDINAL
ejpam-4479	183	5	1	DATE
ejpam-4479	183	6	2	CARDINAL
ejpam-4479	183	7	g(2	GPE
ejpam-4479	183	8	⋃	DATE
ejpam-4479	183	9	0	CARDINAL
ejpam-4479	183	10	1	DATE
ejpam-4479	183	11	2	CARDINAL
ejpam-4479	184	1	0	CARDINAL
ejpam-4479	184	2	1	DATE
ejpam-4479	184	3	2	CARDINAL
ejpam-4479	184	4	⋃	TIME
ejpam-4479	184	5	b⊂h	GPE
ejpam-4479	185	1	0	CARDINAL
ejpam-4479	185	2	⋃	DATE
ejpam-4479	185	3	0	CARDINAL
ejpam-4479	185	4	1	CARDINAL
ejpam-4479	185	5	⋃	DATE
ejpam-4479	185	6	0	CARDINAL
ejpam-4479	185	7	1	CARDINAL
ejpam-4479	185	8	2	CARDINAL
ejpam-4479	185	9	⋃	DATE
ejpam-4479	185	10	0	CARDINAL
ejpam-4479	185	11	1	DATE
ejpam-4479	185	12	2	CARDINAL
ejpam-4479	186	1	1	CARDINAL
ejpam-4479	186	2	2	CARDINAL
ejpam-4479	186	3	g(2	GPE
ejpam-4479	188	1	m.k. engcot	PERSON
ejpam-4479	188	2	g. petalcorin	PERSON
ejpam-4479	189	1	j. pure	PERSON
ejpam-4479	189	2	15	CARDINAL
ejpam-4479	189	3	4	CARDINAL
ejpam-4479	189	4	2022	CARDINAL
ejpam-4479	189	5	1482-1497 1490	QUANTITY
ejpam-4479	189	6	8	CARDINAL
ejpam-4479	190	1	two	CARDINAL
ejpam-4479	192	1	⊆	CARDINAL
ejpam-4479	192	2	∈	ORG
ejpam-4479	193	1	14	DATE
ejpam-4479	193	2	∈	ORG
ejpam-4479	194	1	⊆	CARDINAL
ejpam-4479	194	2	⊆	CARDINAL
ejpam-4479	194	3	∈	ORG
ejpam-4479	194	4	⊆	CARDINAL
ejpam-4479	194	5	∈	ORG
ejpam-4479	195	1	9	CARDINAL
ejpam-4479	196	1	g1	ORG
ejpam-4479	196	2	two	CARDINAL
ejpam-4479	197	1	g1	ORG
ejpam-4479	197	2	g1	ORG
ejpam-4479	198	1	6	CARDINAL
ejpam-4479	198	2	g1	ORG
ejpam-4479	199	1	∈	ORG
ejpam-4479	199	2	⊆	CARDINAL
ejpam-4479	199	3	⊆	CARDINAL
ejpam-4479	199	4	∈	ORG
ejpam-4479	199	5	∈	ORG
ejpam-4479	199	6	g1	ORG
ejpam-4479	201	1	∈	ORG
ejpam-4479	201	2	∈	ORG
ejpam-4479	201	3	∈	ORG
ejpam-4479	201	4	∈	ORG
ejpam-4479	201	5	⊆	CARDINAL
ejpam-4479	201	6	⊆	CARDINAL
ejpam-4479	201	7	∈	ORG
ejpam-4479	201	8	1	CARDINAL
ejpam-4479	201	9	2	CARDINAL
ejpam-4479	201	10	c1 ∩	PERSON
ejpam-4479	201	11	5	CARDINAL
ejpam-4479	201	12	∈	ORG
ejpam-4479	201	13	g1	ORG
ejpam-4479	202	1	15	CARDINAL
ejpam-4479	204	1	∈	ORG
ejpam-4479	206	1	10	CARDINAL
ejpam-4479	207	1	0	CARDINAL
ejpam-4479	207	2	1	DATE
ejpam-4479	207	3	2	DATE
ejpam-4479	207	4	3	CARDINAL
ejpam-4479	207	5	example 4	DATE
ejpam-4479	209	1	0	CARDINAL
ejpam-4479	209	2	1	CARDINAL
ejpam-4479	210	1	⋃	TIME
ejpam-4479	210	2	b⊂h	GPE
ejpam-4479	210	3	0	CARDINAL
ejpam-4479	210	4	1	CARDINAL
ejpam-4479	210	5	0	CARDINAL
ejpam-4479	210	6	0	CARDINAL
ejpam-4479	210	7	2	CARDINAL
ejpam-4479	210	8	1	CARDINAL
ejpam-4479	210	9	0	CARDINAL
ejpam-4479	210	10	2	CARDINAL
ejpam-4479	210	11	1	CARDINAL
ejpam-4479	210	12	0	CARDINAL
ejpam-4479	210	13	1	DATE
ejpam-4479	210	14	3	CARDINAL
ejpam-4479	211	1	0	CARDINAL
ejpam-4479	211	2	⋃	DATE
ejpam-4479	211	3	b⊂h,0r̊b	PERSON
ejpam-4479	211	4	0	CARDINAL
ejpam-4479	211	5	1	DATE
ejpam-4479	211	6	2	CARDINAL
ejpam-4479	211	7	g. petalcorin	PERSON
ejpam-4479	212	1	j. pure	PERSON
ejpam-4479	212	2	15	CARDINAL
ejpam-4479	212	3	4	CARDINAL
ejpam-4479	212	4	2022	CARDINAL
ejpam-4479	212	5	1482-1497 1491	CARDINAL
ejpam-4479	212	6	1	CARDINAL
ejpam-4479	212	7	⋃	DATE
ejpam-4479	212	8	0	CARDINAL
ejpam-4479	212	9	1	DATE
ejpam-4479	212	10	2	DATE
ejpam-4479	212	11	3	CARDINAL
ejpam-4479	213	1	⋃	TIME
ejpam-4479	213	2	b⊂h	GPE
ejpam-4479	213	3	0	CARDINAL
ejpam-4479	213	4	1	CARDINAL
ejpam-4479	213	5	g(1	PRODUCT
ejpam-4479	213	6	0	CARDINAL
ejpam-4479	213	7	1	CARDINAL
ejpam-4479	213	8	g(2	GPE
ejpam-4479	213	9	0	CARDINAL
ejpam-4479	213	10	1	DATE
ejpam-4479	213	11	2	CARDINAL
ejpam-4479	213	12	0	CARDINAL
ejpam-4479	213	13	1	DATE
ejpam-4479	213	14	3	CARDINAL
ejpam-4479	215	1	0,1	CARDINAL
ejpam-4479	215	2	1	CARDINAL
ejpam-4479	215	3	2 1	CARDINAL
ejpam-4479	215	4	3.1	CARDINAL
ejpam-4479	215	5	0	CARDINAL
ejpam-4479	215	6	1	CARDINAL
ejpam-4479	215	7	0	CARDINAL
ejpam-4479	215	8	1	CARDINAL
ejpam-4479	215	9	0,1	CARDINAL
ejpam-4479	215	10	1	CARDINAL
ejpam-4479	215	11	2	CARDINAL
ejpam-4479	215	12	2 1	CARDINAL
ejpam-4479	215	13	3	CARDINAL
ejpam-4479	215	14	3	CARDINAL
ejpam-4479	215	15	3.2	CARDINAL
ejpam-4479	215	16	3.1	CARDINAL
ejpam-4479	215	17	1	CARDINAL
ejpam-4479	215	18	3.2	CARDINAL
ejpam-4479	216	1	∈	ORG
ejpam-4479	218	1	10	CARDINAL
ejpam-4479	220	1	j,m2	WORK_OF_ART
ejpam-4479	220	2	two	CARDINAL
ejpam-4479	220	3	m1 ∩m2 ̸=	ORG
ejpam-4479	220	4	j,m2	WORK_OF_ART
ejpam-4479	221	1	j,m2	WORK_OF_ART
ejpam-4479	221	2	two	CARDINAL
ejpam-4479	222	1	⊆	CARDINAL
ejpam-4479	223	1	∈	ORG
ejpam-4479	224	1	∈	ORG
ejpam-4479	224	2	∈ m2	PERSON
ejpam-4479	225	1	g(m)	ORG
ejpam-4479	226	1	j(m	PERSON
ejpam-4479	230	1	j,m2	WORK_OF_ART
ejpam-4479	232	1	1	CARDINAL
ejpam-4479	234	1	11	CARDINAL
ejpam-4479	235	1	j,k	WORK_OF_ART
ejpam-4479	236	1	j,k	WORK_OF_ART
ejpam-4479	237	1	j,k	WORK_OF_ART
ejpam-4479	238	1	m.k. engcot	PERSON
ejpam-4479	238	2	g. petalcorin	PERSON
ejpam-4479	239	1	j. pure	PERSON
ejpam-4479	239	2	15	CARDINAL
ejpam-4479	239	3	4	CARDINAL
ejpam-4479	239	4	2022	CARDINAL
ejpam-4479	239	5	1482-1497	CARDINAL
ejpam-4479	239	6	j,k	WORK_OF_ART
ejpam-4479	241	1	∈	ORG
ejpam-4479	241	2	r(x	PERSON
ejpam-4479	242	1	∈	ORG
ejpam-4479	243	1	j(x	PERSON
ejpam-4479	243	2	∈	ORG
ejpam-4479	244	1	∈	ORG
ejpam-4479	244	2	\k	ORG
ejpam-4479	244	3	∈	ORG
ejpam-4479	245	1	∈	ORG
ejpam-4479	245	2	\k	ORG
ejpam-4479	245	3	r(x	WORK_OF_ART
ejpam-4479	247	1	r(x	WORK_OF_ART
ejpam-4479	248	1	r(x	PERSON
ejpam-4479	248	2	∈	ORG
ejpam-4479	249	1	j,k	WORK_OF_ART
ejpam-4479	250	1	12	CARDINAL
ejpam-4479	252	1	j,k	WORK_OF_ART
ejpam-4479	253	1	8	CARDINAL
ejpam-4479	253	2	∧(j	CARDINAL
ejpam-4479	254	1	r(x	PERSON
ejpam-4479	255	1	10	CARDINAL
ejpam-4479	256	1	j(y) ⋄	ORG
ejpam-4479	258	1	j,k	WORK_OF_ART
ejpam-4479	259	1	16	DATE
ejpam-4479	262	1	∈	ORG
ejpam-4479	264	1	⊆	CARDINAL
ejpam-4479	264	2	s.	PERSON
ejpam-4479	264	3	11	CARDINAL
ejpam-4479	265	1	0	CARDINAL
ejpam-4479	265	2	1	DATE
ejpam-4479	265	3	2	DATE
ejpam-4479	265	4	3	CARDINAL
ejpam-4479	266	1	4	CARDINAL
ejpam-4479	266	2	0	CARDINAL
ejpam-4479	266	3	1	DATE
ejpam-4479	266	4	3	CARDINAL
ejpam-4479	266	5	0	CARDINAL
ejpam-4479	266	6	1	DATE
ejpam-4479	266	7	2	CARDINAL
ejpam-4479	266	8	s. definition 17.	ORG
ejpam-4479	267	1	⊂	GPE
ejpam-4479	267	2	∈	ORG
ejpam-4479	269	1	12	CARDINAL
ejpam-4479	270	1	0	CARDINAL
ejpam-4479	270	2	1	DATE
ejpam-4479	270	3	2	DATE
ejpam-4479	270	4	3	CARDINAL
ejpam-4479	271	1	4	CARDINAL
ejpam-4479	272	1	0	CARDINAL
ejpam-4479	272	2	1	DATE
ejpam-4479	272	3	2	CARDINAL
ejpam-4479	272	4	⋃	TIME
ejpam-4479	272	5	b⊂h	GPE
ejpam-4479	272	6	ar̊b b m.k. engcot	PERSON
ejpam-4479	272	7	g. petalcorin	PERSON
ejpam-4479	273	1	j. pure	PERSON
ejpam-4479	273	2	15	CARDINAL
ejpam-4479	273	3	4	CARDINAL
ejpam-4479	273	4	2022	CARDINAL
ejpam-4479	273	5	1482-1497 1493	CARDINAL
ejpam-4479	273	6	0	CARDINAL
ejpam-4479	273	7	0	DATE
ejpam-4479	273	8	0	CARDINAL
ejpam-4479	273	9	1	CARDINAL
ejpam-4479	273	10	2	CARDINAL
ejpam-4479	273	11	1	CARDINAL
ejpam-4479	273	12	0	CARDINAL
ejpam-4479	273	13	1	CARDINAL
ejpam-4479	273	14	1	CARDINAL
ejpam-4479	273	15	1	CARDINAL
ejpam-4479	273	16	2	CARDINAL
ejpam-4479	273	17	0	CARDINAL
ejpam-4479	273	18	1	CARDINAL
ejpam-4479	273	19	2	CARDINAL
ejpam-4479	273	20	0	CARDINAL
ejpam-4479	273	21	3	CARDINAL
ejpam-4479	274	1	0	CARDINAL
ejpam-4479	274	2	⋃	DATE
ejpam-4479	274	3	b⊂h,0r̊b	PERSON
ejpam-4479	274	4	0	CARDINAL
ejpam-4479	274	5	1	DATE
ejpam-4479	274	6	2	CARDINAL
ejpam-4479	274	7	1	CARDINAL
ejpam-4479	274	8	⋃	DATE
ejpam-4479	274	9	0	CARDINAL
ejpam-4479	274	10	1	CARDINAL
ejpam-4479	274	11	2	CARDINAL
ejpam-4479	274	12	⋃	DATE
ejpam-4479	274	13	0	CARDINAL
ejpam-4479	274	14	1	DATE
ejpam-4479	274	15	3	CARDINAL
ejpam-4479	276	1	⋃	TIME
ejpam-4479	276	2	b⊂h	GPE
ejpam-4479	277	1	0	CARDINAL
ejpam-4479	277	2	1	CARDINAL
ejpam-4479	277	3	g(2	GPE
ejpam-4479	277	4	0	CARDINAL
ejpam-4479	277	5	1	DATE
ejpam-4479	277	6	2	CARDINAL
ejpam-4479	277	7	0	CARDINAL
ejpam-4479	277	8	1	DATE
ejpam-4479	277	9	3	CARDINAL
ejpam-4479	278	1	0	CARDINAL
ejpam-4479	278	2	1	CARDINAL
ejpam-4479	278	3	0	CARDINAL
ejpam-4479	278	4	1	DATE
ejpam-4479	278	5	2	CARDINAL
ejpam-4479	278	6	g(1	PRODUCT
ejpam-4479	278	7	0	CARDINAL
ejpam-4479	278	8	1	CARDINAL
ejpam-4479	278	9	1	CARDINAL
ejpam-4479	278	10	0	CARDINAL
ejpam-4479	278	11	1	CARDINAL
ejpam-4479	278	12	g(2	GPE
ejpam-4479	278	13	0	CARDINAL
ejpam-4479	278	14	1	DATE
ejpam-4479	278	15	2	CARDINAL
ejpam-4479	278	16	2	CARDINAL
ejpam-4479	278	17	0	CARDINAL
ejpam-4479	278	18	1	DATE
ejpam-4479	278	19	3	CARDINAL
ejpam-4479	279	1	∈	ORG
ejpam-4479	279	2	13	CARDINAL
ejpam-4479	281	1	i1 ⋄hgrc s	PERSON
ejpam-4479	281	2	⋄hgrc s. proof:	PERSON
ejpam-4479	281	3	∈	PRODUCT
ejpam-4479	281	4	y ∈ s	PERSON
ejpam-4479	281	5	∈	PRODUCT
ejpam-4479	282	1	i1 ⋄hgrc s	PERSON
ejpam-4479	282	2	⊆	CARDINAL
ejpam-4479	282	3	x1⊛	ORG
ejpam-4479	282	4	y1⊛	PERSON
ejpam-4479	283	1	⊆	CARDINAL
ejpam-4479	284	1	⊆	CARDINAL
ejpam-4479	284	2	⊆	CARDINAL
ejpam-4479	284	3	⊆	CARDINAL
ejpam-4479	289	1	y2)]⊛	ORG
ejpam-4479	291	1	x′2	LOC
ejpam-4479	291	2	y′2)⊛	ORG
ejpam-4479	292	1	⊆	CARDINAL
ejpam-4479	292	2	= m. by	PERSON
ejpam-4479	292	3	16	DATE
ejpam-4479	293	1	⊆	CARDINAL
ejpam-4479	294	1	⋄hgrc s. theorem 14	PERSON
ejpam-4479	295	1	m1 ∩m2 ̸=	ORG
ejpam-4479	297	1	6	CARDINAL
ejpam-4479	297	2	∈	ORG
ejpam-4479	298	1	⊆ a.	GPE
ejpam-4479	298	2	13	CARDINAL
ejpam-4479	301	1	m.k. engcot	PERSON
ejpam-4479	301	2	g. petalcorin	PERSON
ejpam-4479	302	1	j. pure	PERSON
ejpam-4479	302	2	15	CARDINAL
ejpam-4479	302	3	4	CARDINAL
ejpam-4479	302	4	2022	CARDINAL
ejpam-4479	302	5	1482-1497 1494	CARDINAL
ejpam-4479	302	6	2	CARDINAL
ejpam-4479	304	1	15	CARDINAL
ejpam-4479	305	1	j,n	WORK_OF_ART
ejpam-4479	305	2	j,n	WORK_OF_ART
ejpam-4479	306	1	j,n	WORK_OF_ART
ejpam-4479	307	1	j,n	WORK_OF_ART
ejpam-4479	308	1	∪n	CARDINAL
ejpam-4479	308	2	∈	ORG
ejpam-4479	308	3	r(x	PERSON
ejpam-4479	309	1	∈	ORG
ejpam-4479	309	2	\n j(x	GPE
ejpam-4479	309	3	j(x	PERSON
ejpam-4479	309	4	∈	ORG
ejpam-4479	310	1	∩ n = ∅	PERSON
ejpam-4479	310	2	∈	ORG
ejpam-4479	312	1	r(x	PERSON
ejpam-4479	313	1	r(x	PERSON
ejpam-4479	313	2	∈	ORG
ejpam-4479	314	1	j,n	WORK_OF_ART
ejpam-4479	315	1	18	DATE
ejpam-4479	318	1	fa	ORG
ejpam-4479	318	2	⊆	CARDINAL
ejpam-4479	318	3	fa(y),∀x	DATE
ejpam-4479	318	4	13	CARDINAL
ejpam-4479	318	5	0	CARDINAL
ejpam-4479	318	6	1	DATE
ejpam-4479	318	7	2	DATE
ejpam-4479	318	8	3	CARDINAL
ejpam-4479	318	9	example 4	DATE
ejpam-4479	319	1	⊆	CARDINAL
ejpam-4479	319	2	⊆	CARDINAL
ejpam-4479	320	1	1	CARDINAL
ejpam-4479	320	2	2	CARDINAL
ejpam-4479	320	3	3	CARDINAL
ejpam-4479	321	1	14	CARDINAL
ejpam-4479	322	1	0	CARDINAL
ejpam-4479	322	2	1	DATE
ejpam-4479	322	3	2	DATE
ejpam-4479	322	4	3	CARDINAL
ejpam-4479	322	5	example 4	DATE
ejpam-4479	325	1	1	CARDINAL
ejpam-4479	325	2	2	CARDINAL
ejpam-4479	325	3	3	CARDINAL
ejpam-4479	327	1	16	CARDINAL
ejpam-4479	332	1	m.k. engcot	PERSON
ejpam-4479	332	2	g. petalcorin	PERSON
ejpam-4479	333	1	j. pure	PERSON
ejpam-4479	333	2	15	CARDINAL
ejpam-4479	333	3	4	CARDINAL
ejpam-4479	333	4	2022	CARDINAL
ejpam-4479	333	5	1482-1497 1495	CARDINAL
ejpam-4479	334	1	⊆	CARDINAL
ejpam-4479	334	2	∈	ORG
ejpam-4479	335	1	⊆	CARDINAL
ejpam-4479	335	2	⊆	CARDINAL
ejpam-4479	336	1	⊆	CARDINAL
ejpam-4479	336	2	⊆	CARDINAL
ejpam-4479	342	1	∈	ORG
ejpam-4479	343	1	⊆	CARDINAL
ejpam-4479	345	1	17	CARDINAL
ejpam-4479	349	1	∈	ORG
ejpam-4479	351	1	y ∈ a.	PERSON
ejpam-4479	351	2	∈	ORG
ejpam-4479	351	3	⊆ e((f	MONEY
ejpam-4479	352	1	⊆	CARDINAL
ejpam-4479	352	2	a(x	PERSON
ejpam-4479	352	3	a(y	PERSON
ejpam-4479	355	1	a(y	PERSON
ejpam-4479	357	1	⊂	GPE
ejpam-4479	357	2	a(x	PERSON
ejpam-4479	357	3	a(y	PERSON
ejpam-4479	358	1	a)∗	GPE
ejpam-4479	359	1	19	DATE
ejpam-4479	362	1	⊆	CARDINAL
ejpam-4479	362	2	∀x ∈	MONEY
ejpam-4479	362	3	⊆	CARDINAL
ejpam-4479	362	4	fa(y),∀x	DATE
ejpam-4479	362	5	15	CARDINAL
ejpam-4479	362	6	0	CARDINAL
ejpam-4479	362	7	1	DATE
ejpam-4479	362	8	2	DATE
ejpam-4479	362	9	3	CARDINAL
ejpam-4479	362	10	example 4	DATE
ejpam-4479	364	1	⊆	CARDINAL
ejpam-4479	364	2	⊆	CARDINAL
ejpam-4479	364	3	⊆	CARDINAL
ejpam-4479	365	1	1	CARDINAL
ejpam-4479	365	2	3	CARDINAL
ejpam-4479	365	3	4	CARDINAL
ejpam-4479	367	1	16	CARDINAL
ejpam-4479	368	1	0	CARDINAL
ejpam-4479	368	2	1	DATE
ejpam-4479	368	3	2	CARDINAL
ejpam-4479	369	1	0 1 2	QUANTITY
ejpam-4479	369	2	0	CARDINAL
ejpam-4479	369	3	0	CARDINAL
ejpam-4479	369	4	0	CARDINAL
ejpam-4479	369	5	1	CARDINAL
ejpam-4479	369	6	0,1	CARDINAL
ejpam-4479	369	7	0,1	CARDINAL
ejpam-4479	369	8	0,1	CARDINAL
ejpam-4479	369	9	2	CARDINAL
ejpam-4479	369	10	0,1	CARDINAL
ejpam-4479	369	11	0,1,2	CARDINAL
ejpam-4479	370	1	1496	CARDINAL
ejpam-4479	372	1	1	CARDINAL
ejpam-4479	372	2	2	CARDINAL
ejpam-4479	373	1	2	CARDINAL
ejpam-4479	373	2	2⊛ 1	DATE
ejpam-4479	373	3	1	CARDINAL
ejpam-4479	374	1	18	CARDINAL
ejpam-4479	376	1	⊆	CARDINAL
ejpam-4479	377	1	⊆	CARDINAL
ejpam-4479	379	1	⊆	CARDINAL
ejpam-4479	379	2	⊆	CARDINAL
ejpam-4479	382	1	⊆	CARDINAL
ejpam-4479	384	1	19	CARDINAL
ejpam-4479	386	1	⊆	CARDINAL
ejpam-4479	389	1	τ ⊂	ORG
ejpam-4479	389	2	⊆	CARDINAL
ejpam-4479	390	1	19	DATE
ejpam-4479	390	2	⊆	CARDINAL
ejpam-4479	390	3	⊆	CARDINAL
ejpam-4479	391	1	∈	ORG
ejpam-4479	393	1	⊆	CARDINAL
ejpam-4479	393	2	⊆	CARDINAL
ejpam-4479	394	1	⊆	CARDINAL
ejpam-4479	394	2	⊆	CARDINAL
ejpam-4479	395	1	∈	ORG
ejpam-4479	395	2	a. 4	PERSON
ejpam-4479	397	1	university of san carlos	ORG
ejpam-4479	397	2	philippines	GPE
ejpam-4479	397	3	mindanao	GPE
ejpam-4479	397	4	university-iligan institute of technology	ORG
ejpam-4479	397	5	philippines	GPE
ejpam-4479	398	1	j.c. alcantud	PERSON
ejpam-4479	400	1	68:45–53	DATE
ejpam-4479	400	2	2016	DATE
ejpam-4479	401	1	2	CARDINAL
ejpam-4479	401	2	m. ali	PERSON
ejpam-4479	401	3	f. feng	PERSON
ejpam-4479	401	4	x. liu	PERSON
ejpam-4479	401	5	w. min	PERSON
ejpam-4479	401	6	m. shabir	PERSON
ejpam-4479	403	1	comput	PERSON
ejpam-4479	405	1	59(9):1547–1553	CARDINAL
ejpam-4479	405	2	2009	DATE
ejpam-4479	406	1	1497	CARDINAL
ejpam-4479	407	1	3	CARDINAL
ejpam-4479	407	2	g. petalcorin	PERSON
ejpam-4479	409	1	14:101–119	CARDINAL
ejpam-4479	409	2	2016	DATE
ejpam-4479	410	1	4	CARDINAL
ejpam-4479	410	2	r. indangan	PERSON
ejpam-4479	410	3	g. petalcorin	PERSON
ejpam-4479	411	1	15:100–121	CARDINAL
ejpam-4479	411	2	2017	DATE
ejpam-4479	412	1	5	CARDINAL
ejpam-4479	412	2	y.b	NORP
ejpam-4479	412	3	soft bck	PERSON
ejpam-4479	413	1	comput	PERSON
ejpam-4479	414	1	2000	DATE
ejpam-4479	415	1	6	CARDINAL
ejpam-4479	415	2	y.b	NORP
ejpam-4479	415	3	jun.	PERSON
ejpam-4479	416	1	bull	PERSON
ejpam-4479	417	1	korean	NORP
ejpam-4479	417	2	50:1937–1956	CARDINAL
ejpam-4479	417	3	2013	DATE
ejpam-4479	418	1	7	CARDINAL
ejpam-4479	418	2	y.b	NORP
ejpam-4479	418	3	m.m. zahedi	ORG
ejpam-4479	418	4	x.l. xin	PERSON
ejpam-4479	418	5	r.a.	PERSON
ejpam-4479	418	6	borzooei	PERSON
ejpam-4479	420	1	italian	NORP
ejpam-4479	420	2	2000	DATE
ejpam-4479	421	1	8	CARDINAL
ejpam-4479	421	2	roy	PERSON
ejpam-4479	421	3	r. biswas	PERSON
ejpam-4479	422	1	comput	PERSON
ejpam-4479	424	1	45:555	CARDINAL
ejpam-4479	424	2	562	CARDINAL
ejpam-4479	424	3	2003	DATE
ejpam-4479	425	1	9	CARDINAL
ejpam-4479	425	2	f. marty	PERSON
ejpam-4479	426	1	sur une generalization de la	ORG
ejpam-4479	426	2	de groupe	PERSON
ejpam-4479	427	1	8th	ORDINAL
ejpam-4479	427	2	congress	ORG
ejpam-4479	428	1	scandinaves	GPE
ejpam-4479	428	2	stockholm	GPE
ejpam-4479	428	3	1934	DATE
ejpam-4479	429	1	10	CARDINAL
ejpam-4479	432	1	37:19–31, 1999	DATE