id	sid	eid	entity	type
ejpam-3873	1	1	european journal	ORG
ejpam-3873	2	1	14	DATE
ejpam-3873	2	2	1	CARDINAL
ejpam-3873	2	3	2021	DATE
ejpam-3873	2	4	314	CARDINAL
ejpam-3873	2	5	1307-5543	CARDINAL
ejpam-3873	3	1	new york	GPE
ejpam-3873	3	2	jenny c. sigasig1	PERSON
ejpam-3873	3	3	john s. rosero2	PERSON
ejpam-3873	3	4	michael p. baldado	PERSON
ejpam-3873	3	5	1	CARDINAL
ejpam-3873	3	6	lourdes	GPE
ejpam-3873	3	7	del prado	PERSON
ejpam-3873	3	8	philippines	GPE
ejpam-3873	3	9	2	CARDINAL
ejpam-3873	3	10	cebu city	GPE
ejpam-3873	3	11	3	CARDINAL
ejpam-3873	3	12	negros oriental state university	ORG
ejpam-3873	3	13	dumaguete city	GPE
ejpam-3873	3	14	philippines	GPE
ejpam-3873	4	1	1r	CARDINAL
ejpam-3873	5	1	∈	ORG
ejpam-3873	5	2	0	CARDINAL
ejpam-3873	5	3	ac	ORG
ejpam-3873	5	4	1r	CARDINAL
ejpam-3873	8	1	two	CARDINAL
ejpam-3873	9	1	2020	DATE
ejpam-3873	9	2	16	CARDINAL
ejpam-3873	9	3	1	CARDINAL
ejpam-3873	15	1	1r	CARDINAL
ejpam-3873	16	1	∈	ORG
ejpam-3873	16	2	0	CARDINAL
ejpam-3873	16	3	ac	ORG
ejpam-3873	16	4	1r	CARDINAL
ejpam-3873	17	1	z5	PRODUCT
ejpam-3873	18	1	z5	PRODUCT
ejpam-3873	18	2	0	CARDINAL
ejpam-3873	18	3	1	DATE
ejpam-3873	18	4	4	DATE
ejpam-3873	18	5	2	CARDINAL
ejpam-3873	18	6	0	CARDINAL
ejpam-3873	18	7	1	DATE
ejpam-3873	18	8	4	DATE
ejpam-3873	18	9	3	CARDINAL
ejpam-3873	18	10	z5	PRODUCT
ejpam-3873	20	1	e.j. sigasig	PERSON
ejpam-3873	20	2	18@yahoo.com	CARDINAL
ejpam-3873	20	3	c.j.	ORG
ejpam-3873	21	1	m. baldado jr.	PERSON
ejpam-3873	23	1	2021	CARDINAL
ejpam-3873	24	1	c.j.	GPE
ejpam-3873	24	2	m. baldado jr.	PERSON
ejpam-3873	25	1	j. pure	PERSON
ejpam-3873	25	2	14	CARDINAL
ejpam-3873	25	3	1	CARDINAL
ejpam-3873	25	4	2021	CARDINAL
ejpam-3873	25	5	314	CARDINAL
ejpam-3873	26	1	0	CARDINAL
ejpam-3873	26	2	1	DATE
ejpam-3873	26	3	4	DATE
ejpam-3873	26	4	2	CARDINAL
ejpam-3873	26	5	0	CARDINAL
ejpam-3873	26	6	1	DATE
ejpam-3873	26	7	4	DATE
ejpam-3873	26	8	3	CARDINAL
ejpam-3873	26	9	z5	PRODUCT
ejpam-3873	27	1	4	CARDINAL
ejpam-3873	27	2	5	CARDINAL
ejpam-3873	27	3	6	CARDINAL
ejpam-3873	27	4	8	CARDINAL
ejpam-3873	27	5	9	CARDINAL
ejpam-3873	27	6	10	CARDINAL
ejpam-3873	29	1	3	CARDINAL
ejpam-3873	32	1	3	CARDINAL
ejpam-3873	33	1	ontolan et al	PERSON
ejpam-3873	34	1	12	CARDINAL
ejpam-3873	35	1	corcino	NORP
ejpam-3873	36	1	2	CARDINAL
ejpam-3873	38	1	1	CARDINAL
ejpam-3873	39	1	11	CARDINAL
ejpam-3873	41	1	2	CARDINAL
ejpam-3873	42	1	r.	NORP
ejpam-3873	42	2	6=	CARDINAL
ejpam-3873	43	1	1	CARDINAL
ejpam-3873	43	2	3	CARDINAL
ejpam-3873	45	1	1	CARDINAL
ejpam-3873	46	1	3	CARDINAL
ejpam-3873	46	2	1r	CARDINAL
ejpam-3873	48	1	a.	PERSON
ejpam-3873	51	1	1	CARDINAL
ejpam-3873	51	2	4	CARDINAL
ejpam-3873	51	3	6	CARDINAL
ejpam-3873	51	4	24e	PRODUCT
ejpam-3873	51	5	chapter 5.1	LAW
ejpam-3873	52	1	1	CARDINAL
ejpam-3873	53	1	1	CARDINAL
ejpam-3873	54	1	1r	CARDINAL
ejpam-3873	55	1	b.	PERSON
ejpam-3873	58	1	zero	CARDINAL
ejpam-3873	59	1	d.	NORP
ejpam-3873	60	1	zero	CARDINAL
ejpam-3873	61	1	2	CARDINAL
ejpam-3873	62	1	c.j.	GPE
ejpam-3873	62	2	m. baldado jr.	PERSON
ejpam-3873	63	1	j. pure	PERSON
ejpam-3873	63	2	14	CARDINAL
ejpam-3873	63	3	1	CARDINAL
ejpam-3873	63	4	2021	CARDINAL
ejpam-3873	63	5	314	CARDINAL
ejpam-3873	63	6	2	CARDINAL
ejpam-3873	64	1	1r	CARDINAL
ejpam-3873	64	2	r. a.	PERSON
ejpam-3873	66	1	b.	PERSON
ejpam-3873	66	2	6=	CARDINAL
ejpam-3873	67	1	1r	CARDINAL
ejpam-3873	67	2	d.	NORP
ejpam-3873	67	3	6=	CARDINAL
ejpam-3873	67	4	1r	CARDINAL
ejpam-3873	67	5	6=	CARDINAL
ejpam-3873	68	1	e.	PERSON
ejpam-3873	68	2	2a	CARDINAL
ejpam-3873	69	1	0	CARDINAL
ejpam-3873	70	1	f.	PERSON
ejpam-3873	70	2	2a	CARDINAL
ejpam-3873	70	3	0	CARDINAL
ejpam-3873	71	1	6=	CARDINAL
ejpam-3873	71	2	2	CARDINAL
ejpam-3873	72	1	2	CARDINAL
ejpam-3873	73	1	1r	CARDINAL
ejpam-3873	73	2	r. a.	PERSON
ejpam-3873	74	1	2a	CARDINAL
ejpam-3873	74	2	0	CARDINAL
ejpam-3873	74	3	∈	ORG
ejpam-3873	74	4	b.	PERSON
ejpam-3873	75	1	1r	CARDINAL
ejpam-3873	75	2	∈	ORG
ejpam-3873	75	3	c.	PERSON
ejpam-3873	76	1	∈	ORG
ejpam-3873	77	1	d.	NORP
ejpam-3873	78	1	zero	CARDINAL
ejpam-3873	78	2	∈	ORG
ejpam-3873	80	1	1r	CARDINAL
ejpam-3873	80	2	r.	NORP
ejpam-3873	80	3	2a	CARDINAL
ejpam-3873	80	4	0	CARDINAL
ejpam-3873	81	1	j	PERSON
ejpam-3873	81	2	∈	ORG
ejpam-3873	81	3	0	CARDINAL
ejpam-3873	82	1	2a	CARDINAL
ejpam-3873	84	1	1r	CARDINAL
ejpam-3873	85	1	j	PERSON
ejpam-3873	85	2	∈	ORG
ejpam-3873	85	3	ac	ORG
ejpam-3873	86	1	1r	CARDINAL
ejpam-3873	88	1	1rc	ORDINAL
ejpam-3873	92	1	zero	CARDINAL
ejpam-3873	92	2	2	CARDINAL
ejpam-3873	94	1	3	CARDINAL
ejpam-3873	95	1	3	CARDINAL
ejpam-3873	95	2	6=	CARDINAL
ejpam-3873	95	3	1r	CARDINAL
ejpam-3873	95	4	2a	CARDINAL
ejpam-3873	95	5	0	CARDINAL
ejpam-3873	96	1	3	CARDINAL
ejpam-3873	97	1	1r	CARDINAL
ejpam-3873	97	2	0	CARDINAL
ejpam-3873	97	3	r.	NORP
ejpam-3873	97	4	6=	CARDINAL
ejpam-3873	97	5	1r	CARDINAL
ejpam-3873	97	6	2a	CARDINAL
ejpam-3873	97	7	0	CARDINAL
ejpam-3873	97	8	r. e.j	PERSON
ejpam-3873	97	9	c.j.	GPE
ejpam-3873	97	10	m. baldado jr.	PERSON
ejpam-3873	98	1	j. pure	PERSON
ejpam-3873	98	2	14	CARDINAL
ejpam-3873	98	3	1	CARDINAL
ejpam-3873	98	4	2021	CARDINAL
ejpam-3873	98	5	314	CARDINAL
ejpam-3873	99	1	1r	CARDINAL
ejpam-3873	99	2	0	CARDINAL
ejpam-3873	99	3	r.	NORP
ejpam-3873	99	4	6=	CARDINAL
ejpam-3873	99	5	1r	CARDINAL
ejpam-3873	99	6	2a	CARDINAL
ejpam-3873	99	7	0	CARDINAL
ejpam-3873	100	1	2	CARDINAL
ejpam-3873	100	2	2	CARDINAL
ejpam-3873	100	3	6=	CARDINAL
ejpam-3873	101	1	j1 =	PERSON
ejpam-3873	101	2	j\{a	PERSON
ejpam-3873	101	3	j2	ORG
ejpam-3873	102	1	1	CARDINAL
ejpam-3873	103	1	j\{a	PERSON
ejpam-3873	103	2	1	CARDINAL
ejpam-3873	103	3	1	CARDINAL
ejpam-3873	104	1	j = j1	PERSON
ejpam-3873	105	1	j1	PERSON
ejpam-3873	106	1	2	CARDINAL
ejpam-3873	106	2	∈	ORG
ejpam-3873	106	3	∈	ORG
ejpam-3873	106	4	1	CARDINAL
ejpam-3873	107	1	6=	CARDINAL
ejpam-3873	107	2	6=	CARDINAL
ejpam-3873	107	3	6=	CARDINAL
ejpam-3873	107	4	6=	CARDINAL
ejpam-3873	108	1	j	PERSON
ejpam-3873	108	2	∈	ORG
ejpam-3873	109	1	1r	CARDINAL
ejpam-3873	109	2	2	CARDINAL
ejpam-3873	111	1	0	CARDINAL
ejpam-3873	113	1	1r	CARDINAL
ejpam-3873	114	1	3	CARDINAL
ejpam-3873	115	1	1	CARDINAL
ejpam-3873	116	1	1r	CARDINAL
ejpam-3873	118	1	2	CARDINAL
ejpam-3873	119	1	1r	CARDINAL
ejpam-3873	119	2	0	CARDINAL
ejpam-3873	119	3	r.	NORP
ejpam-3873	119	4	6=	CARDINAL
ejpam-3873	119	5	1r	CARDINAL
ejpam-3873	119	6	2a	CARDINAL
ejpam-3873	119	7	0	CARDINAL
ejpam-3873	120	1	5	CARDINAL
ejpam-3873	120	2	3	CARDINAL
ejpam-3873	121	1	4	CARDINAL
ejpam-3873	121	2	1	CARDINAL
ejpam-3873	121	3	4	CARDINAL
ejpam-3873	122	1	1r	CARDINAL
ejpam-3873	122	2	r.	NORP
ejpam-3873	122	3	1	CARDINAL
ejpam-3873	122	4	∈	ORG
ejpam-3873	122	5	6= 1r	CARDINAL
ejpam-3873	122	6	2u	CARDINAL
ejpam-3873	122	7	0	CARDINAL
ejpam-3873	124	1	1r	CARDINAL
ejpam-3873	124	2	r.	NORP
ejpam-3873	124	3	1	CARDINAL
ejpam-3873	125	1	r.	NORP
ejpam-3873	126	1	j	PERSON
ejpam-3873	126	2	∈	ORG
ejpam-3873	127	1	1r	CARDINAL
ejpam-3873	129	1	6=	CARDINAL
ejpam-3873	129	2	6=	CARDINAL
ejpam-3873	129	3	z. hence	PERSON
ejpam-3873	129	4	2	CARDINAL
ejpam-3873	129	5	2	CARDINAL
ejpam-3873	130	1	1r	CARDINAL
ejpam-3873	130	2	2x	CARDINAL
ejpam-3873	130	3	0	CARDINAL
ejpam-3873	131	1	∈	ORG
ejpam-3873	131	2	1r	CARDINAL
ejpam-3873	131	3	2x	CARDINAL
ejpam-3873	131	4	0	CARDINAL
ejpam-3873	132	1	5	CARDINAL
ejpam-3873	132	2	{x	PERSON
ejpam-3873	132	3	r.	NORP
ejpam-3873	132	4	1	CARDINAL
ejpam-3873	132	5	5	CARDINAL
ejpam-3873	133	1	1r	CARDINAL
ejpam-3873	133	2	r.	NORP
ejpam-3873	133	3	1	CARDINAL
ejpam-3873	133	4	∈	ORG
ejpam-3873	133	5	1r	CARDINAL
ejpam-3873	133	6	2a	CARDINAL
ejpam-3873	133	7	0	CARDINAL
ejpam-3873	133	8	zero	CARDINAL
ejpam-3873	136	1	c.j.	GPE
ejpam-3873	136	2	m. baldado jr.	PERSON
ejpam-3873	137	1	j. pure	PERSON
ejpam-3873	137	2	14	CARDINAL
ejpam-3873	137	3	1	CARDINAL
ejpam-3873	137	4	2021	CARDINAL
ejpam-3873	137	5	314	CARDINAL
ejpam-3873	138	1	r\s	GPE
ejpam-3873	138	2	r\s	GPE
ejpam-3873	139	1	1	CARDINAL
ejpam-3873	140	1	∈	ORG
ejpam-3873	141	1	1r	CARDINAL
ejpam-3873	141	2	2x	CARDINAL
ejpam-3873	141	3	0	CARDINAL
ejpam-3873	145	1	∈	ORG
ejpam-3873	146	1	1r	CARDINAL
ejpam-3873	146	2	2x	CARDINAL
ejpam-3873	146	3	0	CARDINAL
ejpam-3873	147	1	r\s	GPE
ejpam-3873	148	1	∈	ORG
ejpam-3873	152	1	3	CARDINAL
ejpam-3873	153	1	∈	ORG
ejpam-3873	153	2	1r	CARDINAL
ejpam-3873	153	3	2x	CARDINAL
ejpam-3873	153	4	0	CARDINAL
ejpam-3873	154	1	r\s of lemma	FAC
ejpam-3873	154	2	1	CARDINAL
ejpam-3873	155	1	5	CARDINAL
ejpam-3873	157	1	r\s	GPE
ejpam-3873	157	2	3	CARDINAL
ejpam-3873	159	1	r. lemma	PERSON
ejpam-3873	160	1	2	CARDINAL
ejpam-3873	160	2	∈	ORG
ejpam-3873	160	3	1r	CARDINAL
ejpam-3873	160	4	2x	CARDINAL
ejpam-3873	160	5	0	CARDINAL
ejpam-3873	163	1	3	CARDINAL
ejpam-3873	163	2	2 ≤ |[ai]| ≤	MONEY
ejpam-3873	165	1	∈	ORG
ejpam-3873	165	2	1r	CARDINAL
ejpam-3873	165	3	2x	CARDINAL
ejpam-3873	165	4	0	CARDINAL
ejpam-3873	168	1	3	CARDINAL
ejpam-3873	168	2	1	CARDINAL
ejpam-3873	168	3	2	DATE
ejpam-3873	170	1	1r	CARDINAL
ejpam-3873	170	2	2ai	ORDINAL
ejpam-3873	170	3	2	CARDINAL
ejpam-3873	170	4	{−ai	PERSON
ejpam-3873	170	5	i.	PERSON
ejpam-3873	170	6	2	CARDINAL
ejpam-3873	171	1	2	CARDINAL
ejpam-3873	171	2	6=	CARDINAL
ejpam-3873	171	3	2	CARDINAL
ejpam-3873	172	1	4	CARDINAL
ejpam-3873	172	2	2 ≤ |[ai]| ≤	MONEY
ejpam-3873	172	3	3	CARDINAL
ejpam-3873	172	4	two	CARDINAL
ejpam-3873	173	1	3	CARDINAL
ejpam-3873	174	1	∈	ORG
ejpam-3873	174	2	1r	CARDINAL
ejpam-3873	174	3	2x	CARDINAL
ejpam-3873	174	4	0	CARDINAL
ejpam-3873	177	1	∈	ORG
ejpam-3873	177	2	1r	CARDINAL
ejpam-3873	177	3	2x	CARDINAL
ejpam-3873	177	4	0	CARDINAL
ejpam-3873	178	1	lemma 2, |[ai]| ≤ 4	ORG
ejpam-3873	180	1	e.j. sigasig	PERSON
ejpam-3873	180	2	c.j.	GPE
ejpam-3873	180	3	m. baldado jr.	PERSON
ejpam-3873	181	1	j. pure	PERSON
ejpam-3873	181	2	14	CARDINAL
ejpam-3873	181	3	1	CARDINAL
ejpam-3873	181	4	2021	CARDINAL
ejpam-3873	181	5	314	CARDINAL
ejpam-3873	181	6	4	CARDINAL
ejpam-3873	182	1	∈	ORG
ejpam-3873	182	2	1r	CARDINAL
ejpam-3873	182	3	2x	CARDINAL
ejpam-3873	182	4	0	CARDINAL
ejpam-3873	185	1	∈	ORG
ejpam-3873	185	2	1r	CARDINAL
ejpam-3873	185	3	2x	CARDINAL
ejpam-3873	185	4	0	CARDINAL
ejpam-3873	186	1	lemma 2	ORG
ejpam-3873	186	2	2 ≤ |[ai]|	CARDINAL
ejpam-3873	188	1	6	CARDINAL
ejpam-3873	189	1	6	CARDINAL
ejpam-3873	192	1	x−11	ORG
ejpam-3873	192	2	x−12	GPE
ejpam-3873	193	1	−xc	PERSON
ejpam-3873	193	2	∈	ORG
ejpam-3873	193	3	1	CARDINAL
ejpam-3873	193	4	2	DATE
ejpam-3873	198	1	3	CARDINAL
ejpam-3873	200	1	x−11	ORG
ejpam-3873	200	2	x−12	GPE
ejpam-3873	202	1	−xc	PERSON
ejpam-3873	203	1	x−11	ORG
ejpam-3873	203	2	x−12	GPE
ejpam-3873	205	1	−xc	PERSON
ejpam-3873	205	2	1	CARDINAL
ejpam-3873	205	3	2	DATE
ejpam-3873	208	1	−xi	ORG
ejpam-3873	208	2	xi,−xi	ORG
ejpam-3873	208	3	x−11	ORG
ejpam-3873	208	4	x−12	GPE
ejpam-3873	210	1	−xc	PERSON
ejpam-3873	211	1	x−11	ORG
ejpam-3873	211	2	x−12	GPE
ejpam-3873	212	1	−xc	PERSON
ejpam-3873	212	2	r.	NORP
ejpam-3873	212	3	1	CARDINAL
ejpam-3873	212	4	2	DATE
ejpam-3873	214	1	xi,−xi	ORG
ejpam-3873	214	2	x−1i /∈	PERSON
ejpam-3873	215	1	−1	DATE
ejpam-3873	218	1	1	CARDINAL
ejpam-3873	218	2	2	CARDINAL
ejpam-3873	219	1	1	CARDINAL
ejpam-3873	223	1	∈	ORG
ejpam-3873	223	2	1r	CARDINAL
ejpam-3873	223	3	2x	CARDINAL
ejpam-3873	223	4	0	CARDINAL
ejpam-3873	224	1	lemma 4	ORG
ejpam-3873	225	1	3	CARDINAL
ejpam-3873	225	2	two	CARDINAL
ejpam-3873	227	1	1	CARDINAL
ejpam-3873	229	1	z5	PRODUCT
ejpam-3873	230	1	z5	PRODUCT
ejpam-3873	230	2	0	CARDINAL
ejpam-3873	230	3	1	DATE
ejpam-3873	230	4	4	DATE
ejpam-3873	230	5	3	CARDINAL
ejpam-3873	230	6	0	CARDINAL
ejpam-3873	230	7	1	DATE
ejpam-3873	230	8	4	DATE
ejpam-3873	230	9	3	CARDINAL
ejpam-3873	231	1	2	CARDINAL
ejpam-3873	232	1	2(|r|−|s|)/2	CARDINAL
ejpam-3873	232	2	2(|z5|−|{0,1,4}|)/2	CARDINAL
ejpam-3873	232	3	2(5−3)/2	CARDINAL
ejpam-3873	232	4	2	CARDINAL
ejpam-3873	232	5	2	CARDINAL
ejpam-3873	234	1	2(|r|−|s|)/4	CARDINAL
ejpam-3873	236	1	∈	ORG
ejpam-3873	236	2	1r	CARDINAL
ejpam-3873	236	3	2x	CARDINAL
ejpam-3873	236	4	0	CARDINAL
ejpam-3873	237	1	3	CARDINAL
ejpam-3873	237	2	|r|−|s|)/4	PRODUCT
ejpam-3873	238	1	3	CARDINAL
ejpam-3873	238	2	two	CARDINAL
ejpam-3873	240	1	2	CARDINAL
ejpam-3873	243	1	0	CARDINAL
ejpam-3873	243	2	1	DATE
ejpam-3873	243	3	2	DATE
ejpam-3873	243	4	3	DATE
ejpam-3873	243	5	6	CARDINAL
ejpam-3873	243	6	j2	ORG
ejpam-3873	243	7	0	CARDINAL
ejpam-3873	243	8	1	DATE
ejpam-3873	243	9	4	DATE
ejpam-3873	243	10	5	DATE
ejpam-3873	243	11	6	CARDINAL
ejpam-3873	244	1	2	CARDINAL
ejpam-3873	245	1	2(|r|−|s|)/2	CARDINAL
ejpam-3873	245	2	2(|z7|−|{0,1,6}|)/2	CARDINAL
ejpam-3873	246	1	2(7−3)/4	CARDINAL
ejpam-3873	246	2	2	CARDINAL
ejpam-3873	246	3	e.j. sigasig	PERSON
ejpam-3873	246	4	c.j.	GPE
ejpam-3873	246	5	m. baldado jr.	PERSON
ejpam-3873	247	1	j. pure	PERSON
ejpam-3873	247	2	14	CARDINAL
ejpam-3873	247	3	1	CARDINAL
ejpam-3873	247	4	2021	CARDINAL
ejpam-3873	247	5	314-326 320	MONEY
ejpam-3873	249	1	7	CARDINAL
ejpam-3873	253	1	f(x	ORG
ejpam-3873	258	1	5	CARDINAL
ejpam-3873	259	1	j ⊆	PERSON
ejpam-3873	262	1	j1	ORG
ejpam-3873	262	2	j2	ORG
ejpam-3873	263	1	1	CARDINAL
ejpam-3873	263	2	j1 ∪	ORG
ejpam-3873	263	3	j2	ORG
ejpam-3873	264	1	∈	ORG
ejpam-3873	264	2	j2	ORG
ejpam-3873	264	3	j2 ∈	ORG
ejpam-3873	265	1	1r	CARDINAL
ejpam-3873	265	2	2x	CARDINAL
ejpam-3873	265	3	0	CARDINAL
ejpam-3873	265	4	6=	CARDINAL
ejpam-3873	266	1	8	CARDINAL
ejpam-3873	270	1	r.	NORP
ejpam-3873	270	2	2 x	QUANTITY
ejpam-3873	270	3	r.	NORP
ejpam-3873	270	4	∈	ORG
ejpam-3873	270	5	⊆	CARDINAL
ejpam-3873	273	1	6=	CARDINAL
ejpam-3873	273	2	1r	CARDINAL
ejpam-3873	273	3	6=	CARDINAL
ejpam-3873	274	1	3	CARDINAL
ejpam-3873	276	1	j ′ ∈	LAW
ejpam-3873	279	1	6=	CARDINAL
ejpam-3873	281	1	9	CARDINAL
ejpam-3873	282	1	2x	CARDINAL
ejpam-3873	282	2	0	CARDINAL
ejpam-3873	285	1	2x	CARDINAL
ejpam-3873	285	2	0	CARDINAL
ejpam-3873	285	3	2	CARDINAL
ejpam-3873	287	1	0	CARDINAL
ejpam-3873	288	1	10	CARDINAL
ejpam-3873	292	1	0	CARDINAL
ejpam-3873	292	2	1	CARDINAL
ejpam-3873	293	1	0	CARDINAL
ejpam-3873	293	2	1	CARDINAL
ejpam-3873	293	3	r.	NORP
ejpam-3873	293	4	0	CARDINAL
ejpam-3873	293	5	1	CARDINAL
ejpam-3873	294	1	∈	ORG
ejpam-3873	294	2	6=	DATE
ejpam-3873	294	3	6=	CARDINAL
ejpam-3873	294	4	1r	CARDINAL
ejpam-3873	295	1	j	PERSON
ejpam-3873	295	2	∈	ORG
ejpam-3873	295	3	1r	CARDINAL
ejpam-3873	296	1	0	CARDINAL
ejpam-3873	296	2	1	CARDINAL
ejpam-3873	297	1	+ 1	DATE
ejpam-3873	297	2	0	CARDINAL
ejpam-3873	297	3	−1	DATE
ejpam-3873	298	1	1r	CARDINAL
ejpam-3873	299	1	2	CARDINAL
ejpam-3873	299	2	∈	ORG
ejpam-3873	301	1	e.j. sigasig	PERSON
ejpam-3873	301	2	c.j.	GPE
ejpam-3873	301	3	m. baldado jr.	PERSON
ejpam-3873	302	1	j. pure	PERSON
ejpam-3873	302	2	14	CARDINAL
ejpam-3873	302	3	1	CARDINAL
ejpam-3873	302	4	2021	CARDINAL
ejpam-3873	302	5	314	CARDINAL
ejpam-3873	302	6	11	DATE
ejpam-3873	304	1	∈	ORG
ejpam-3873	304	2	1r	CARDINAL
ejpam-3873	304	3	0	CARDINAL
ejpam-3873	306	1	1	CARDINAL
ejpam-3873	306	2	= s. proof	PERSON
ejpam-3873	307	1	1	CARDINAL
ejpam-3873	307	2	6=	CARDINAL
ejpam-3873	307	3	6=	CARDINAL
ejpam-3873	307	4	1r	CARDINAL
ejpam-3873	308	1	1	CARDINAL
ejpam-3873	311	1	3	CARDINAL
ejpam-3873	314	1	2	CARDINAL
ejpam-3873	315	1	∈	ORG
ejpam-3873	315	2	3	CARDINAL
ejpam-3873	319	1	= s.	PERSON
ejpam-3873	320	1	10	CARDINAL
ejpam-3873	320	2	r.	NORP
ejpam-3873	320	3	1	CARDINAL
ejpam-3873	320	4	12	CARDINAL
ejpam-3873	321	1	r.	NORP
ejpam-3873	322	1	j	PERSON
ejpam-3873	322	2	6=	CARDINAL
ejpam-3873	322	3	r.	NORP
ejpam-3873	322	4	6=	CARDINAL
ejpam-3873	324	1	x−1 ∈ j	PERSON
ejpam-3873	325	1	j	PERSON
ejpam-3873	325	2	xx−1 ∈	PERSON
ejpam-3873	328	1	13	CARDINAL
ejpam-3873	329	1	φ	ORG
ejpam-3873	331	1	j	PERSON
ejpam-3873	331	2	r2	GPE
ejpam-3873	333	1	∈	ORG
ejpam-3873	334	1	∈	ORG
ejpam-3873	334	2	φ	ORG
ejpam-3873	334	3	∈	ORG
ejpam-3873	334	4	∈	ORG
ejpam-3873	335	1	j	PERSON
ejpam-3873	335	2	∈	ORG
ejpam-3873	337	1	∈	ORG
ejpam-3873	338	1	φ	ORG
ejpam-3873	341	1	∈	ORG
ejpam-3873	343	1	r2	GPE
ejpam-3873	344	1	14	DATE
ejpam-3873	345	1	φ	ORG
ejpam-3873	347	1	j	PERSON
ejpam-3873	347	2	r2	GPE
ejpam-3873	350	1	r2	LOC
ejpam-3873	351	1	r2	GPE
ejpam-3873	353	1	∈	ORG
ejpam-3873	353	2	∈	ORG
ejpam-3873	354	1	φ(j	PERSON
ejpam-3873	354	2	∈	ORG
ejpam-3873	357	1	∈	ORG
ejpam-3873	358	1	∈	ORG
ejpam-3873	359	1	∈	ORG
ejpam-3873	360	1	φ	PERSON
ejpam-3873	360	2	xφ−1(u	GPE
ejpam-3873	361	1	1r1	CARDINAL
ejpam-3873	366	1	∈	ORG
ejpam-3873	366	2	xφ−1(u	GPE
ejpam-3873	367	1	1r1	CARDINAL
ejpam-3873	370	1	e.j. sigasig	PERSON
ejpam-3873	370	2	c.j.	GPE
ejpam-3873	370	3	m. baldado jr.	PERSON
ejpam-3873	371	1	j. pure	PERSON
ejpam-3873	371	2	14	CARDINAL
ejpam-3873	371	3	1	CARDINAL
ejpam-3873	371	4	2021	CARDINAL
ejpam-3873	371	5	314	CARDINAL
ejpam-3873	371	6	15	CARDINAL
ejpam-3873	372	1	j ⊆	LAW
ejpam-3873	373	1	j ′ :	LAW
ejpam-3873	374	1	j ∈	PERSON
ejpam-3873	374	2	j ′	LAW
ejpam-3873	376	1	j ⊆	LAW
ejpam-3873	377	1	j ′ :	LAW
ejpam-3873	378	1	j ∈	PERSON
ejpam-3873	379	1	φ	PERSON
ejpam-3873	379	2	t → t ′	DATE
ejpam-3873	379	3	j 7→ j	LAW
ejpam-3873	381	1	φ	ORG
ejpam-3873	382	1	j1	ORG
ejpam-3873	382	2	j2 ∈	ORG
ejpam-3873	383	1	φ(j1	NORP
ejpam-3873	383	2	j1	PERSON
ejpam-3873	383	3	∩ φ(j2	PERSON
ejpam-3873	384	1	φ	ORG
ejpam-3873	384	2	t ′	DATE
ejpam-3873	385	1	7	CARDINAL
ejpam-3873	387	1	joris n. buloron	PERSON
ejpam-3873	387	2	2	CARDINAL
ejpam-3873	388	1	∈	ORG
ejpam-3873	388	2	1d	CARDINAL
ejpam-3873	388	3	2x	CARDINAL
ejpam-3873	388	4	0	CARDINAL
ejpam-3873	389	1	∈	ORG
ejpam-3873	389	2	x−1 /∈	PERSON
ejpam-3873	391	1	∈	ORG
ejpam-3873	392	1	x−1 ∈ j	PERSON
ejpam-3873	393	1	6	CARDINAL
ejpam-3873	395	1	two	CARDINAL
ejpam-3873	400	1	∈	ORG
ejpam-3873	400	2	x−1	PERSON
ejpam-3873	401	1	∩	PERSON
ejpam-3873	401	2	∈	ORG
ejpam-3873	402	1	j =	PERSON
ejpam-3873	403	1	two	CARDINAL
ejpam-3873	405	1	7	CARDINAL
ejpam-3873	406	1	d. j	PERSON
ejpam-3873	406	2	two	CARDINAL
ejpam-3873	407	1	c.j.	GPE
ejpam-3873	407	2	m. baldado jr.	PERSON
ejpam-3873	408	1	j. pure	PERSON
ejpam-3873	408	2	14	CARDINAL
ejpam-3873	408	3	1	CARDINAL
ejpam-3873	408	4	2021	CARDINAL
ejpam-3873	408	5	314	CARDINAL
ejpam-3873	410	1	6	CARDINAL
ejpam-3873	413	1	one	CARDINAL
ejpam-3873	416	1	x−1 ∈	PERSON
ejpam-3873	417	1	x−1 ∈	PERSON
ejpam-3873	417	2	d.	NORP
ejpam-3873	422	1	tsep(d)(x	ORG
ejpam-3873	422	2	tsep(d)(x	ORG
ejpam-3873	425	1	8	CARDINAL
ejpam-3873	426	1	d.	NORP
ejpam-3873	431	1	1	CARDINAL
ejpam-3873	431	2	2	CARDINAL
ejpam-3873	431	3	6=	CARDINAL
ejpam-3873	434	1	6=	CARDINAL
ejpam-3873	435	1	x−1 ∈	PERSON
ejpam-3873	438	1	2	CARDINAL
ejpam-3873	438	2	1	CARDINAL
ejpam-3873	440	1	1	CARDINAL
ejpam-3873	442	1	1d	CARDINAL
ejpam-3873	442	2	6=	CARDINAL
ejpam-3873	446	1	2	CARDINAL
ejpam-3873	446	2	2x	CARDINAL
ejpam-3873	446	3	0	CARDINAL
ejpam-3873	447	1	2x	CARDINAL
ejpam-3873	447	2	0	CARDINAL
ejpam-3873	447	3	6=	CARDINAL
ejpam-3873	451	1	3	CARDINAL
ejpam-3873	452	1	−x−1	DATE
ejpam-3873	452	2	−x−1	DATE
ejpam-3873	456	1	1	CARDINAL
ejpam-3873	456	2	3	CARDINAL
ejpam-3873	456	3	tsep(d)(x	ORG
ejpam-3873	456	4	6=	CARDINAL
ejpam-3873	458	1	tsep(d)(x	ORG
ejpam-3873	458	2	6=	CARDINAL
ejpam-3873	459	1	x−1 ∈	PERSON
ejpam-3873	461	1	tsep(d)(x	ORG
ejpam-3873	462	1	3	CARDINAL
ejpam-3873	462	2	1	CARDINAL
ejpam-3873	462	3	tsep(d)(x	ORG
ejpam-3873	463	1	1	CARDINAL
ejpam-3873	465	1	1d	CARDINAL
ejpam-3873	465	2	c.j.	GPE
ejpam-3873	465	3	m. baldado jr.	PERSON
ejpam-3873	466	1	j. pure	PERSON
ejpam-3873	466	2	14	CARDINAL
ejpam-3873	466	3	1	CARDINAL
ejpam-3873	466	4	2021	CARDINAL
ejpam-3873	466	5	314	CARDINAL
ejpam-3873	466	6	6=	CARDINAL
ejpam-3873	470	1	tsep(d)(x	ORG
ejpam-3873	472	1	2	CARDINAL
ejpam-3873	472	2	2x	CARDINAL
ejpam-3873	472	3	0	CARDINAL
ejpam-3873	473	1	2x	CARDINAL
ejpam-3873	473	2	0	CARDINAL
ejpam-3873	473	3	6=	CARDINAL
ejpam-3873	476	1	tsep(d)(x	ORG
ejpam-3873	478	1	3	CARDINAL
ejpam-3873	479	1	−x−1	DATE
ejpam-3873	479	2	−x−1	DATE
ejpam-3873	482	1	tsep(d)(x	ORG
ejpam-3873	485	1	9	CARDINAL
ejpam-3873	491	1	6	CARDINAL
ejpam-3873	493	1	e′	GPE
ejpam-3873	494	1	ϕ(e′	ORG
ejpam-3873	494	2	ϕ(f	PERSON
ejpam-3873	496	1	ϕ(j	PERSON
ejpam-3873	497	1	ϕ(f	PERSON
ejpam-3873	499	1	6	CARDINAL
ejpam-3873	500	1	ϕ(j	PERSON
ejpam-3873	501	1	ϕ(j	PERSON
ejpam-3873	502	1	6	CARDINAL
ejpam-3873	503	1	ϕ(j	PERSON
ejpam-3873	506	1	ϕ(f	PERSON
ejpam-3873	507	1	6	CARDINAL
ejpam-3873	509	1	10	CARDINAL
ejpam-3873	510	1	ϕ : td1 → td2	ORG
ejpam-3873	514	1	ϕ : td1 → td2	ORG
ejpam-3873	518	1	ϕ(j	PERSON
ejpam-3873	518	2	6=	CARDINAL
ejpam-3873	518	3	ϕ(j	PRODUCT
ejpam-3873	518	4	9	CARDINAL
ejpam-3873	519	1	x})\ϕ(j	ORG
ejpam-3873	522	1	ϕ(j)∪{x})\ϕ(j	ORG
ejpam-3873	524	1	ϕ(j)\{u−1})∪	PERSON
ejpam-3873	524	2	three	CARDINAL
ejpam-3873	525	1	ϕ(j	PERSON
ejpam-3873	526	1	a∪b ∪c	DATE
ejpam-3873	527	1	ϕ−1(b	GPE
ejpam-3873	527	2	three	CARDINAL
ejpam-3873	529	1	e.j. sigasig	PERSON
ejpam-3873	529	2	c.j.	GPE
ejpam-3873	529	3	m. baldado jr.	PERSON
ejpam-3873	530	1	j. pure	PERSON
ejpam-3873	530	2	14	CARDINAL
ejpam-3873	530	3	1	CARDINAL
ejpam-3873	530	4	2021	CARDINAL
ejpam-3873	530	5	314	CARDINAL
ejpam-3873	530	6	326 325	CARDINAL
ejpam-3873	533	1	two	CARDINAL
ejpam-3873	534	1	16	CARDINAL
ejpam-3873	536	1	td1	PERSON
ejpam-3873	544	1	lemma 10	ORG
ejpam-3873	544	2	ϕ(j ∪	PERSON
ejpam-3873	545	1	σ(x	ORG
ejpam-3873	547	1	first	ORDINAL
ejpam-3873	547	2	σ	ORG
ejpam-3873	548	1	6=	CARDINAL
ejpam-3873	548	2	j\{b	PERSON
ejpam-3873	549	1	∈	ORG
ejpam-3873	549	2	∈	ORG
ejpam-3873	550	1	lemma 10	ORG
ejpam-3873	550	2	ϕ(jj	PERSON
ejpam-3873	553	1	b /∈ j	PERSON
ejpam-3873	553	2	σ(a	ORG
ejpam-3873	556	1	10	CARDINAL
ejpam-3873	560	1	σ	ORG
ejpam-3873	561	1	σ	ORG
ejpam-3873	563	1	y /∈ j	PERSON
ejpam-3873	564	1	y /∈	PERSON
ejpam-3873	566	1	10	CARDINAL
ejpam-3873	568	1	σ(x	ORG
ejpam-3873	569	1	σ	ORG
ejpam-3873	570	1	σ	ORG
ejpam-3873	571	1	σ(x	ORG
ejpam-3873	574	1	j = sd1	PERSON
ejpam-3873	576	1	σ(a	ORG
ejpam-3873	578	1	3	CARDINAL
ejpam-3873	580	1	td1	PERSON
ejpam-3873	583	1	16	CARDINAL
ejpam-3873	583	2	8	CARDINAL
ejpam-3873	584	1	negros oriental state university for	ORG
ejpam-3873	585	1	326	CARDINAL
ejpam-3873	585	2	1	CARDINAL
ejpam-3873	585	3	michael patula baldado jr	PERSON
ejpam-3873	585	4	cristopher john salvador	PERSON
ejpam-3873	587	1	european journal	ORG
ejpam-3873	587	2	9(1):34–38	CARDINAL
ejpam-3873	587	3	2016	DATE
ejpam-3873	588	1	2	CARDINAL
ejpam-3873	588	2	roberto b corcino	PERSON
ejpam-3873	588	3	lorna s almocera	PERSON
ejpam-3873	588	4	michael p baldado jr.	PERSON
ejpam-3873	590	1	turkish	NORP
ejpam-3873	590	2	3(6):160–164	CARDINAL
ejpam-3873	590	3	2015	DATE
ejpam-3873	591	1	3	CARDINAL
ejpam-3873	591	2	cristopher john s	PERSON
ejpam-3873	591	3	jay m ontolan	PERSON
ejpam-3873	591	4	baldado jr.	PERSON
ejpam-3873	592	1	group1	PRODUCT
ejpam-3873	593	1	9	CARDINAL
ejpam-3873	593	2	1035–1040, 2014	DATE
ejpam-3873	594	1	4	CARDINAL
ejpam-3873	594	2	john b fraleigh	PERSON
ejpam-3873	595	1	first	ORDINAL
ejpam-3873	596	1	pearson education	ORG
ejpam-3873	596	2	india	GPE
ejpam-3873	596	3	2003	DATE
ejpam-3873	597	1	5	CARDINAL
ejpam-3873	597	2	joseph gallian	PERSON
ejpam-3873	599	1	nelson	PERSON
ejpam-3873	599	2	2012	DATE
ejpam-3873	600	1	6	CARDINAL
ejpam-3873	600	2	linda gilbert	PERSON
ejpam-3873	602	1	nelson	PERSON
ejpam-3873	602	2	2014	DATE
ejpam-3873	603	1	7	CARDINAL
ejpam-3873	603	2	israel	GPE
ejpam-3873	605	1	prentice hall, 1996	ORG
ejpam-3873	606	1	8	CARDINAL
ejpam-3873	606	2	thomas w hungerford	PERSON
ejpam-3873	607	1	73	CARDINAL
ejpam-3873	608	1	20–31, 1980	DATE
ejpam-3873	609	1	9	CARDINAL
ejpam-3873	609	2	kurtz	PERSON
ejpam-3873	610	1	1992	DATE
ejpam-3873	611	1	10	CARDINAL
ejpam-3873	611	2	s malik	PERSON
ejpam-3873	611	3	john m mordeson	PERSON
ejpam-3873	612	1	mcgraw-hill	ORG
ejpam-3873	612	2	1997	DATE
ejpam-3873	613	1	11	CARDINAL
ejpam-3873	613	2	john s	PERSON
ejpam-3873	613	3	michael p baldado jr.	PERSON
ejpam-3873	615	1	8(18):883–888,	ORG
ejpam-3873	615	2	2014	DATE
ejpam-3873	616	1	12	CARDINAL
ejpam-3873	616	2	john s	PERSON
ejpam-3873	616	3	joris n buloron	PERSON
ejpam-3873	616	4	jay m ontolan	PERSON
ejpam-3873	616	5	michael p baldado jr.	PERSON
ejpam-3873	618	1	2014	DATE