id	sid	eid	entity	type
ejpam-3900	1	1	european journal	ORG
ejpam-3900	2	1	14	DATE
ejpam-3900	2	2	1	CARDINAL
ejpam-3900	2	3	2021	DATE
ejpam-3900	2	4	65-81	CARDINAL
ejpam-3900	2	5	new york	GPE
ejpam-3900	2	6	first	ORDINAL
ejpam-3900	2	7	roberto b. corcino1,2,∗	PERSON
ejpam-3900	2	8	jay m. ontolan1,2	PERSON
ejpam-3900	2	9	maria rowena s. lobrigas2	PERSON
ejpam-3900	3	1	1	CARDINAL
ejpam-3900	3	2	6000	CARDINAL
ejpam-3900	3	3	cebu city	GPE
ejpam-3900	3	4	2	CARDINAL
ejpam-3900	3	5	6000	CARDINAL
ejpam-3900	3	6	cebu city	GPE
ejpam-3900	3	7	philippines	GPE
ejpam-3900	6	1	r)whitney-lah	ORG
ejpam-3900	6	2	newton	GPE
ejpam-3900	7	1	first	ORDINAL
ejpam-3900	7	2	second	ORDINAL
ejpam-3900	8	1	2020	DATE
ejpam-3900	8	2	05a15	CARDINAL
ejpam-3900	8	3	11b65	CARDINAL
ejpam-3900	8	4	11b73	CARDINAL
ejpam-3900	8	5	newton	ORG
ejpam-3900	8	6	1	CARDINAL
ejpam-3900	10	1	8	CARDINAL
ejpam-3900	13	1	n−1 k−1	ORG
ejpam-3900	13	2	first	ORDINAL
ejpam-3900	13	3	second	ORDINAL
ejpam-3900	14	1	k s(n	PERSON
ejpam-3900	14	2	j)s(j	GPE
ejpam-3900	15	1	1	CARDINAL
ejpam-3900	16	1	r. corcino	PERSON
ejpam-3900	16	2	j. ontolan	PERSON
ejpam-3900	16	3	m. lobrigas	PERSON
ejpam-3900	17	1	65	CARDINAL
ejpam-3900	17	2	2021	CARDINAL
ejpam-3900	18	1	r. corcino	PERSON
ejpam-3900	18	2	j. ontolan	PERSON
ejpam-3900	18	3	m. lobrigas	PERSON
ejpam-3900	19	1	j. pure	PERSON
ejpam-3900	19	2	14	CARDINAL
ejpam-3900	19	3	1	CARDINAL
ejpam-3900	19	4	2021	CARDINAL
ejpam-3900	19	5	65	CARDINAL
ejpam-3900	19	6	66	CARDINAL
ejpam-3900	20	1	1	CARDINAL
ejpam-3900	20	2	first	ORDINAL
ejpam-3900	20	3	wm	PERSON
ejpam-3900	20	4	second	ORDINAL
ejpam-3900	20	5	wm	PERSON
ejpam-3900	21	1	k wm	PERSON
ejpam-3900	21	2	r(j	PERSON
ejpam-3900	21	3	2	CARDINAL
ejpam-3900	21	4	first	ORDINAL
ejpam-3900	21	5	s(n	ORG
ejpam-3900	21	6	second	ORDINAL
ejpam-3900	21	7	s(n	ORG
ejpam-3900	22	1	1	CARDINAL
ejpam-3900	22	2	corcino	NORP
ejpam-3900	22	3	sn	ORG
ejpam-3900	22	4	σ[n	CARDINAL
ejpam-3900	22	5	1	CARDINAL
ejpam-3900	24	1	1	CARDINAL
ejpam-3900	25	1	second	ORDINAL
ejpam-3900	26	1	10	CARDINAL
ejpam-3900	27	1	corcino	NORP
ejpam-3900	27	2	montero	PERSON
ejpam-3900	28	1	5	CARDINAL
ejpam-3900	28	2	second	ORDINAL
ejpam-3900	30	1	1	CARDINAL
ejpam-3900	30	2	first	ORDINAL
ejpam-3900	30	3	wm	PERSON
ejpam-3900	30	4	second	ORDINAL
ejpam-3900	30	5	wm	PERSON
ejpam-3900	31	1	k wm	PERSON
ejpam-3900	31	2	r(j	PERSON
ejpam-3900	31	3	first	ORDINAL
ejpam-3900	31	4	second	ORDINAL
ejpam-3900	31	5	−1)nl(n, k	PRODUCT
ejpam-3900	33	1	2r|m〉n	DATE
ejpam-3900	33	2	n∑ k=0	PERSON
ejpam-3900	33	3	2r|m〉n	DATE
ejpam-3900	33	4	2r	CARDINAL
ejpam-3900	34	1	2r +	MONEY
ejpam-3900	34	2	1)m	CARDINAL
ejpam-3900	34	3	r. corcino	PERSON
ejpam-3900	34	4	j. ontolan	PERSON
ejpam-3900	34	5	m. lobrigas	PERSON
ejpam-3900	35	1	j. pure	PERSON
ejpam-3900	35	2	14	CARDINAL
ejpam-3900	35	3	1	CARDINAL
ejpam-3900	35	4	2021	CARDINAL
ejpam-3900	35	5	65-81 67	CARDINAL
ejpam-3900	35	6	1	CARDINAL
ejpam-3900	35	7	1	CARDINAL
ejpam-3900	35	8	2r	CARDINAL
ejpam-3900	36	1	1)m)lm	CARDINAL
ejpam-3900	36	2	1	CARDINAL
ejpam-3900	36	3	1	CARDINAL
ejpam-3900	37	1	first	ORDINAL
ejpam-3900	39	1	2	CARDINAL
ejpam-3900	39	2	jung	GPE
ejpam-3900	42	1	σ[j	CARDINAL
ejpam-3900	45	1	2[r]q|[β]q〉n	CARDINAL
ejpam-3900	45	2	n∑ k=0	PERSON
ejpam-3900	45	3	k]q(t|[β]q)k	PERSON
ejpam-3900	45	4	2[r]q|[β]q〉n	CARDINAL
ejpam-3900	45	5	πn−1 i=0	ORG
ejpam-3900	45	6	2[r]q	CARDINAL
ejpam-3900	45	7	0	CARDINAL
ejpam-3900	45	8	1	DATE
ejpam-3900	45	9	1	CARDINAL
ejpam-3900	47	1	2[r]q	CARDINAL
ejpam-3900	48	1	1)β]q)lβ	CARDINAL
ejpam-3900	48	2	1	CARDINAL
ejpam-3900	48	3	1	CARDINAL
ejpam-3900	49	1	second	ORDINAL
ejpam-3900	49	2	wm	PERSON
ejpam-3900	49	3	second	ORDINAL
ejpam-3900	49	4	3	CARDINAL
ejpam-3900	49	5	6	CARDINAL
ejpam-3900	49	6	wm	PERSON
ejpam-3900	49	7	1	CARDINAL
ejpam-3900	52	1	1	CARDINAL
ejpam-3900	53	1	3	CARDINAL
ejpam-3900	53	2	two	CARDINAL
ejpam-3900	53	3	3	CARDINAL
ejpam-3900	53	4	6	CARDINAL
ejpam-3900	53	5	4	CARDINAL
ejpam-3900	53	6	5	CARDINAL
ejpam-3900	53	7	second	ORDINAL
ejpam-3900	53	8	third	ORDINAL
ejpam-3900	54	1	3	CARDINAL
ejpam-3900	54	2	4	CARDINAL
ejpam-3900	54	3	5	CARDINAL
ejpam-3900	54	4	three	CARDINAL
ejpam-3900	54	5	r. corcino	PERSON
ejpam-3900	54	6	j. ontolan	PERSON
ejpam-3900	54	7	m. lobrigas	PERSON
ejpam-3900	55	1	j. pure	PERSON
ejpam-3900	55	2	14	CARDINAL
ejpam-3900	55	3	1	CARDINAL
ejpam-3900	55	4	2021	CARDINAL
ejpam-3900	55	5	65-81 68	CARDINAL
ejpam-3900	56	1	dm	ORG
ejpam-3900	57	1	n∑ k=0	PERSON
ejpam-3900	57	2	6) d∗m	DATE
ejpam-3900	58	1	n∑ k=0	PERSON
ejpam-3900	58	2	n∑ k=0	PERSON
ejpam-3900	59	1	first	ORDINAL
ejpam-3900	60	1	first	ORDINAL
ejpam-3900	60	2	second	ORDINAL
ejpam-3900	60	3	wm	PERSON
ejpam-3900	60	4	1	CARDINAL
ejpam-3900	63	1	wm	PERSON
ejpam-3900	63	2	wm	GPE
ejpam-3900	63	3	1	CARDINAL
ejpam-3900	63	4	k + j + 1]q	ORG
ejpam-3900	63	5	10	CARDINAL
ejpam-3900	63	6	ri	GPE
ejpam-3900	63	7	wm	PERSON
ejpam-3900	63	8	0]q	CARDINAL
ejpam-3900	64	1	1	CARDINAL
ejpam-3900	67	1	11	CARDINAL
ejpam-3900	67	2	wm	GPE
ejpam-3900	69	1	2	CARDINAL
ejpam-3900	71	1	12	CARDINAL
ejpam-3900	71	2	wm	PERSON
ejpam-3900	73	1	1	CARDINAL
ejpam-3900	75	1	[m]kq [∆qm	PERSON
ejpam-3900	75	2	mkeq([x+ jm+ r]q[t]q)]x=0	ORG
ejpam-3900	76	1	13	CARDINAL
ejpam-3900	76	2	r. corcino	PERSON
ejpam-3900	76	3	j. ontolan	PERSON
ejpam-3900	76	4	m. lobrigas	PERSON
ejpam-3900	77	1	j. pure	PERSON
ejpam-3900	77	2	14	CARDINAL
ejpam-3900	77	3	1	CARDINAL
ejpam-3900	77	4	2021	CARDINAL
ejpam-3900	77	5	65-81 69	PERCENT
ejpam-3900	79	1	14	CARDINAL
ejpam-3900	79	2	4	CARDINAL
ejpam-3900	81	1	three	CARDINAL
ejpam-3900	81	2	third	ORDINAL
ejpam-3900	81	3	first	ORDINAL
ejpam-3900	81	4	second	ORDINAL
ejpam-3900	82	1	first	ORDINAL
ejpam-3900	83	1	6	CARDINAL
ejpam-3900	84	1	2	CARDINAL
ejpam-3900	85	1	first	ORDINAL
ejpam-3900	85	2	second	ORDINAL
ejpam-3900	86	1	2.	CARDINAL
ejpam-3900	87	1	2.1	CARDINAL
ejpam-3900	88	1	1	CARDINAL
ejpam-3900	90	1	2r+ km+	CARDINAL
ejpam-3900	90	2	1)m]qlm	CARDINAL
ejpam-3900	90	3	1	CARDINAL
ejpam-3900	90	4	15	CARDINAL
ejpam-3900	90	5	0	CARDINAL
ejpam-3900	90	6	1	CARDINAL
ejpam-3900	93	1	2.2	CARDINAL
ejpam-3900	94	1	1	CARDINAL
ejpam-3900	95	1	1	CARDINAL
ejpam-3900	95	2	1	CARDINAL
ejpam-3900	95	3	2r + km+	QUANTITY
ejpam-3900	95	4	1)m)lm	CARDINAL
ejpam-3900	95	5	1	CARDINAL
ejpam-3900	95	6	1	CARDINAL
ejpam-3900	95	7	r. corcino	PERSON
ejpam-3900	95	8	j. ontolan	PERSON
ejpam-3900	95	9	m. lobrigas	PERSON
ejpam-3900	96	1	j. pure	PERSON
ejpam-3900	96	2	14	CARDINAL
ejpam-3900	96	3	1	CARDINAL
ejpam-3900	96	4	2021	CARDINAL
ejpam-3900	96	5	65	CARDINAL
ejpam-3900	96	6	2.3	CARDINAL
ejpam-3900	98	1	2r	CARDINAL
ejpam-3900	98	2	1)m]nq	DATE
ejpam-3900	99	1	15	CARDINAL
ejpam-3900	99	2	two	CARDINAL
ejpam-3900	100	1	2.4	CARDINAL
ejpam-3900	101	1	1	CARDINAL
ejpam-3900	102	1	k q[2r+mk+m(n−j	PERSON
ejpam-3900	103	1	2r	CARDINAL
ejpam-3900	103	2	0]q	CARDINAL
ejpam-3900	104	1	1	CARDINAL
ejpam-3900	107	1	15	CARDINAL
ejpam-3900	107	2	1	CARDINAL
ejpam-3900	109	1	2r	CARDINAL
ejpam-3900	110	1	k + 1]q	ORG
ejpam-3900	111	1	15	CARDINAL
ejpam-3900	111	2	1	CARDINAL
ejpam-3900	112	1	2r	CARDINAL
ejpam-3900	112	2	k + 1)m+	ORG
ejpam-3900	112	3	q2r+mk+m(n−1)lm	ORG
ejpam-3900	113	1	2r	CARDINAL
ejpam-3900	114	1	1)m]qlm	CARDINAL
ejpam-3900	114	2	1	CARDINAL
ejpam-3900	115	1	1	CARDINAL
ejpam-3900	116	1	1)m]qlm	CARDINAL
ejpam-3900	116	2	2	CARDINAL
ejpam-3900	120	1	2r	CARDINAL
ejpam-3900	121	1	+ 1	DATE
ejpam-3900	123	1	+ 1	DATE
ejpam-3900	123	2	1	CARDINAL
ejpam-3900	124	1	k q[2r+mk+m(n−j	PERSON
ejpam-3900	125	1	2r	CARDINAL
ejpam-3900	126	1	2.5	CARDINAL
ejpam-3900	127	1	1	CARDINAL
ejpam-3900	129	1	ri	GPE
ejpam-3900	129	2	2r +	CARDINAL
ejpam-3900	129	3	0]q	CARDINAL
ejpam-3900	130	1	1	CARDINAL
ejpam-3900	130	2	r. corcino	PERSON
ejpam-3900	130	3	j. ontolan	PERSON
ejpam-3900	130	4	m. lobrigas	PERSON
ejpam-3900	131	1	j. pure	PERSON
ejpam-3900	131	2	14	CARDINAL
ejpam-3900	131	3	1	CARDINAL
ejpam-3900	131	4	2021	CARDINAL
ejpam-3900	131	5	65	CARDINAL
ejpam-3900	133	1	15	CARDINAL
ejpam-3900	135	1	2r	CARDINAL
ejpam-3900	136	1	k + j + 1)m+	ORG
ejpam-3900	138	1	k + j]q +	GPE
ejpam-3900	138	2	rk+j	ORG
ejpam-3900	138	3	2r	CARDINAL
ejpam-3900	140	1	k + j)m+	ORG
ejpam-3900	141	1	k + j]q +	GPE
ejpam-3900	141	2	2r +	CARDINAL
ejpam-3900	142	1	2r	CARDINAL
ejpam-3900	142	2	k + j)m+	ORG
ejpam-3900	142	3	k + j]q	GPE
ejpam-3900	144	1	2r +	CARDINAL
ejpam-3900	148	1	q−2r−m(k+j−1)−nm+m[m(k	ORG
ejpam-3900	152	1	2r	CARDINAL
ejpam-3900	153	1	2r +	CARDINAL
ejpam-3900	159	1	k + j]q +	GPE
ejpam-3900	159	2	k +	ORG
ejpam-3900	160	1	r. corcino	PERSON
ejpam-3900	160	2	j. ontolan	PERSON
ejpam-3900	160	3	m. lobrigas	PERSON
ejpam-3900	161	1	j. pure	PERSON
ejpam-3900	161	2	14	CARDINAL
ejpam-3900	161	3	1	CARDINAL
ejpam-3900	161	4	2021	CARDINAL
ejpam-3900	161	5	65-81	PERCENT
ejpam-3900	162	1	arx r.	PERSON
ejpam-3900	166	1	e(x	ORG
ejpam-3900	168	1	two	CARDINAL
ejpam-3900	168	2	two	CARDINAL
ejpam-3900	169	1	the nth row	DATE
ejpam-3900	169	2	q.	PERSON
ejpam-3900	170	1	3.1	CARDINAL
ejpam-3900	171	1	n∑ k=0	PERSON
ejpam-3900	173	1	2r|m]n	CARDINAL
ejpam-3900	173	2	16	CARDINAL
ejpam-3900	173	3	2r|m]n	CARDINAL
ejpam-3900	173	4	∏n−1 i=0	ORG
ejpam-3900	174	1	2r + im]q	QUANTITY
ejpam-3900	174	2	n ≥ 1, 1	DATE
ejpam-3900	176	1	16	CARDINAL
ejpam-3900	176	2	n=0	PERSON
ejpam-3900	178	1	1	CARDINAL
ejpam-3900	178	2	1	CARDINAL
ejpam-3900	178	3	1	CARDINAL
ejpam-3900	179	1	2r|m]0,q	CARDINAL
ejpam-3900	180	1	n∑ k=0	PERSON
ejpam-3900	182	1	2r|m]n	CARDINAL
ejpam-3900	182	2	q. r. corcino	PERSON
ejpam-3900	182	3	j. ontolan	PERSON
ejpam-3900	182	4	m. lobrigas	PERSON
ejpam-3900	183	1	j. pure	PERSON
ejpam-3900	183	2	14	CARDINAL
ejpam-3900	183	3	1	CARDINAL
ejpam-3900	183	4	2021	CARDINAL
ejpam-3900	183	5	65-81 73	PERCENT
ejpam-3900	185	1	2r|m]n+1,q	DATE
ejpam-3900	186	1	15	CARDINAL
ejpam-3900	189	1	n+1∑ k=0	PERSON
ejpam-3900	189	2	k−1]q+[2r+km+nm]qlm	PRODUCT
ejpam-3900	189	3	k]q}[t|m]k	GPE
ejpam-3900	189	4	k −	ORG
ejpam-3900	192	1	2r + km+	MONEY
ejpam-3900	192	2	k]q[t|m]k	GPE
ejpam-3900	192	3	n∑ k=0	PERSON
ejpam-3900	193	1	n∑ k=0	PERSON
ejpam-3900	194	1	2r + km+	MONEY
ejpam-3900	194	2	k]q[t|m]k	GPE
ejpam-3900	194	3	n∑ k=0	PERSON
ejpam-3900	194	4	k]q[t|m]k	GPE
ejpam-3900	194	5	+ n∑ k=0	PERSON
ejpam-3900	195	1	2r + km+	MONEY
ejpam-3900	195	2	k]q[t|m]k	GPE
ejpam-3900	195	3	q.	PERSON
ejpam-3900	199	1	2r	CARDINAL
ejpam-3900	201	1	2r	CARDINAL
ejpam-3900	201	2	2r + km+	QUANTITY
ejpam-3900	201	3	1 q2r+mk+mn	CARDINAL
ejpam-3900	201	4	2r	CARDINAL
ejpam-3900	202	1	2r + km+	MONEY
ejpam-3900	203	1	n+1∑ k=0	PERSON
ejpam-3900	204	1	n∑ k=0	PERSON
ejpam-3900	204	2	k]q[t|m]k	GPE
ejpam-3900	204	3	q−(2r+mk+mn)([t+ 2r+nm]q−	PERSON
ejpam-3900	204	4	2r+km+nm]q)}+	CARDINAL
ejpam-3900	205	1	2r+km+nm]qlm	CARDINAL
ejpam-3900	205	2	k]q[t|m]k	GPE
ejpam-3900	205	3	n∑ k=0	PERSON
ejpam-3900	205	4	k]q[t|m]k	GPE
ejpam-3900	205	5	q([t+ 2r +	ORG
ejpam-3900	206	1	2r + km+	MONEY
ejpam-3900	208	1	n∑ k=0	PERSON
ejpam-3900	209	1	2r + km+	MONEY
ejpam-3900	209	2	k]q[t|m]k	GPE
ejpam-3900	209	3	n∑ k=0	PERSON
ejpam-3900	209	4	k]q[t|m]k	GPE
ejpam-3900	209	5	2r	CARDINAL
ejpam-3900	210	1	2r + km+	MONEY
ejpam-3900	211	1	2r + km+	MONEY
ejpam-3900	212	1	2r|m]nq	CARDINAL
ejpam-3900	212	2	2r	CARDINAL
ejpam-3900	213	1	2r|m]n+1,q	DATE
ejpam-3900	214	1	r. corcino	PERSON
ejpam-3900	214	2	j. ontolan	PERSON
ejpam-3900	214	3	m. lobrigas	PERSON
ejpam-3900	215	1	j. pure	PERSON
ejpam-3900	215	2	14	CARDINAL
ejpam-3900	215	3	1	CARDINAL
ejpam-3900	215	4	2021	CARDINAL
ejpam-3900	215	5	65-81 74	CARDINAL
ejpam-3900	218	1	4h	CARDINAL
ejpam-3900	219	1	k−j	ORG
ejpam-3900	219	2	2	CARDINAL
ejpam-3900	221	1	17	CARDINAL
ejpam-3900	221	2	newton	GPE
ejpam-3900	221	3	9	CARDINAL
ejpam-3900	222	1	xo]q[x− x1]q	PERSON
ejpam-3900	223	1	[x− xm−1]q	PERSON
ejpam-3900	223	2	4qh	ORDINAL
ejpam-3900	224	1	1]qh	CARDINAL
ejpam-3900	226	1	2]qh	CARDINAL
ejpam-3900	229	1	[x− xm−1]q	PERSON
ejpam-3900	233	1	+ kh	PERSON
ejpam-3900	233	2	k = 1	PERSON
ejpam-3900	233	3	2	DATE
ejpam-3900	235	1	+ 4qm	DATE
ejpam-3900	236	1	1]qm	CARDINAL
ejpam-3900	238	1	2]qm	CARDINAL
ejpam-3900	240	1	mfq(0)[x]q[x−m]q	GPE
ejpam-3900	243	1	16	CARDINAL
ejpam-3900	243	2	n∑ k=0	PERSON
ejpam-3900	244	1	2r|m]n	CARDINAL
ejpam-3900	244	2	n∑ k=0	PERSON
ejpam-3900	244	3	k]q[x]q[x−m]q[x− 2m]q	ORG
ejpam-3900	245	1	[x−	PERSON
ejpam-3900	245	2	k − 1)m]q	ORG
ejpam-3900	247	1	2r|m]n	CARDINAL
ejpam-3900	248	1	2r|m]n	CARDINAL
ejpam-3900	250	1	1	CARDINAL
ejpam-3900	252	1	4k qm	QUANTITY
ejpam-3900	252	2	r. corcino	PERSON
ejpam-3900	252	3	j. ontolan	PERSON
ejpam-3900	252	4	m. lobrigas	PERSON
ejpam-3900	253	1	j. pure	PERSON
ejpam-3900	253	2	14	CARDINAL
ejpam-3900	253	3	1	CARDINAL
ejpam-3900	253	4	2021	CARDINAL
ejpam-3900	253	5	65	CARDINAL
ejpam-3900	253	6	newton	ORG
ejpam-3900	253	7	17	CARDINAL
ejpam-3900	253	8	4f qm	QUANTITY
ejpam-3900	253	9	j=0	GPE
ejpam-3900	253	10	2	CARDINAL
ejpam-3900	254	1	2	CARDINAL
ejpam-3900	256	1	2r|m]n	CARDINAL
ejpam-3900	256	2	0	CARDINAL
ejpam-3900	256	3	4f qm	QUANTITY
ejpam-3900	257	1	2	CARDINAL
ejpam-3900	259	1	2r	CARDINAL
ejpam-3900	262	1	2	CARDINAL
ejpam-3900	264	1	2r	CARDINAL
ejpam-3900	266	1	3.2	CARDINAL
ejpam-3900	269	1	2	CARDINAL
ejpam-3900	271	1	2r	CARDINAL
ejpam-3900	272	1	18	CARDINAL
ejpam-3900	272	2	3.3	CARDINAL
ejpam-3900	273	1	1	CARDINAL
ejpam-3900	273	2	1	CARDINAL
ejpam-3900	273	3	2r + jm|m)n	QUANTITY
ejpam-3900	273	4	t|m)n	NORP
ejpam-3900	274	1	1)m	CARDINAL
ejpam-3900	275	1	3.4	CARDINAL
ejpam-3900	277	1	18	CARDINAL
ejpam-3900	279	1	2r|m]n	CARDINAL
ejpam-3900	279	2	3.5	CARDINAL
ejpam-3900	280	1	nonnegative integers n	PERSON
ejpam-3900	282	1	1	CARDINAL
ejpam-3900	284	1	m(f	GPE
ejpam-3900	284	2	2r	CARDINAL
ejpam-3900	284	3	19	CARDINAL
ejpam-3900	288	1	r. corcino	PERSON
ejpam-3900	288	2	j. ontolan	PERSON
ejpam-3900	288	3	m. lobrigas	PERSON
ejpam-3900	289	1	j. pure	PERSON
ejpam-3900	289	2	14	CARDINAL
ejpam-3900	289	3	1	CARDINAL
ejpam-3900	289	4	2021	CARDINAL
ejpam-3900	289	5	65	CARDINAL
ejpam-3900	290	1	18	CARDINAL
ejpam-3900	292	1	1	CARDINAL
ejpam-3900	293	1	2	CARDINAL
ejpam-3900	295	1	2r	CARDINAL
ejpam-3900	298	1	1	CARDINAL
ejpam-3900	300	1	2	CARDINAL
ejpam-3900	301	1	2r	CARDINAL
ejpam-3900	305	1	2	CARDINAL
ejpam-3900	306	1	2r	CARDINAL
ejpam-3900	306	2	1	CARDINAL
ejpam-3900	308	1	m(f	GPE
ejpam-3900	308	2	2r	CARDINAL
ejpam-3900	308	3	3.6	CARDINAL
ejpam-3900	309	1	1	CARDINAL
ejpam-3900	309	2	19	CARDINAL
ejpam-3900	310	1	1	CARDINAL
ejpam-3900	311	1	2r	CARDINAL
ejpam-3900	311	2	2r	CARDINAL
ejpam-3900	312	1	2r + jm|m)n	QUANTITY
ejpam-3900	314	1	4	CARDINAL
ejpam-3900	315	1	stirling	GPE
ejpam-3900	317	1	first	ORDINAL
ejpam-3900	318	1	4.1	CARDINAL
ejpam-3900	319	1	first	ORDINAL
ejpam-3900	319	2	wm	PERSON
ejpam-3900	320	1	n∑ k=0	PERSON
ejpam-3900	321	1	20	CARDINAL
ejpam-3900	321	2	wm	PERSON
ejpam-3900	321	3	1	CARDINAL
ejpam-3900	324	1	r. corcino	PERSON
ejpam-3900	324	2	j. ontolan	PERSON
ejpam-3900	324	3	m. lobrigas	PERSON
ejpam-3900	325	1	j. pure	PERSON
ejpam-3900	325	2	14	CARDINAL
ejpam-3900	325	3	1	CARDINAL
ejpam-3900	325	4	2021	CARDINAL
ejpam-3900	325	5	65-81	CARDINAL
ejpam-3900	325	6	1 qr+nm	DATE
ejpam-3900	326	1	n∑ k=0	PERSON
ejpam-3900	326	2	1 qr+nm	DATE
ejpam-3900	326	3	n∑ k=0	PERSON
ejpam-3900	329	1	1 qr+nm	DATE
ejpam-3900	329	2	k −	ORG
ejpam-3900	333	1	1 qr+nm	DATE
ejpam-3900	333	2	wm	GPE
ejpam-3900	333	3	k − 1]q	ORG
ejpam-3900	336	1	t]kq	ORG
ejpam-3900	336	2	4.2	CARDINAL
ejpam-3900	337	1	first	ORDINAL
ejpam-3900	337	2	wm	PERSON
ejpam-3900	338	1	wm	PERSON
ejpam-3900	338	2	1	CARDINAL
ejpam-3900	338	3	1 qr+nm	DATE
ejpam-3900	338	4	wm	GPE
ejpam-3900	338	5	k −	ORG
ejpam-3900	340	1	21	CARDINAL
ejpam-3900	340	2	0]q	CARDINAL
ejpam-3900	341	1	1	CARDINAL
ejpam-3900	341	2	wm	GPE
ejpam-3900	341	3	0]q	CARDINAL
ejpam-3900	343	1	n − 1)m]q	ORG
ejpam-3900	343	2	wm	GPE
ejpam-3900	344	1	1	CARDINAL
ejpam-3900	346	1	q−(2r+m	GPE
ejpam-3900	346	2	first	ORDINAL
ejpam-3900	346	3	second	ORDINAL
ejpam-3900	347	1	4.3	CARDINAL
ejpam-3900	348	1	n∑ k	PERSON
ejpam-3900	349	1	j wm	PERSON
ejpam-3900	349	2	k]qwm	ORG
ejpam-3900	349	3	n∑ k	PERSON
ejpam-3900	350	1	j wm	PERSON
ejpam-3900	350	2	k]qwm	ORG
ejpam-3900	350	3	0	CARDINAL
ejpam-3900	350	4	j = n	PERSON
ejpam-3900	351	1	11	CARDINAL
ejpam-3900	351	2	20	CARDINAL
ejpam-3900	351	3	n∑ k=0	PERSON
ejpam-3900	352	1	n∑ k=0	PERSON
ejpam-3900	352	2	k]q k∑	GPE
ejpam-3900	352	3	n∑ k	PERSON
ejpam-3900	353	1	j wm	PERSON
ejpam-3900	353	2	k]qwm	ORG
ejpam-3900	354	1		GPE
ejpam-3900	354	2	j wm	PERSON
ejpam-3900	354	3	k]qwm	ORG
ejpam-3900	354	4	r[k	PRODUCT
ejpam-3900	354	5	j]q 	DATE
ejpam-3900	355	1	q. r. corcino	PERSON
ejpam-3900	355	2	j. ontolan	PERSON
ejpam-3900	355	3	m. lobrigas	PERSON
ejpam-3900	356	1	j. pure	PERSON
ejpam-3900	356	2	14	CARDINAL
ejpam-3900	356	3	1	CARDINAL
ejpam-3900	356	4	2021	CARDINAL
ejpam-3900	356	5	65-81 78	CARDINAL
ejpam-3900	358	1	j wm	PERSON
ejpam-3900	358	2	k]qwm	ORG
ejpam-3900	358	3	0	CARDINAL
ejpam-3900	358	4	j = n.	PERSON
ejpam-3900	358	5	23	CARDINAL
ejpam-3900	358	6	n∑ k=0	PERSON
ejpam-3900	358	7	k]q k∑	GPE
ejpam-3900	360	1	j wm	PERSON
ejpam-3900	360	2	k]qwm	ORG
ejpam-3900	361	1		GPE
ejpam-3900	361	2	j wm	PERSON
ejpam-3900	361	3	k]qwm	ORG
ejpam-3900	361	4	r[k	PRODUCT
ejpam-3900	361	5	j]q 	DATE
ejpam-3900	362	1	t]jq	NORP
ejpam-3900	362	2	n∑ k	PERSON
ejpam-3900	363	1	j wm	PERSON
ejpam-3900	363	2	k]qwm	ORG
ejpam-3900	363	3	0	CARDINAL
ejpam-3900	363	4	j = n.	PERSON
ejpam-3900	363	5	24	CARDINAL
ejpam-3900	363	6	23	CARDINAL
ejpam-3900	363	7	24	CARDINAL
ejpam-3900	364	1	4.4	CARDINAL
ejpam-3900	365	1	n∑ k=0	PERSON
ejpam-3900	365	2	⇔ gn	PERSON
ejpam-3900	365	3	n∑ k=0	PERSON
ejpam-3900	365	4	25	CARDINAL
ejpam-3900	365	5	n=0 wm	PERSON
ejpam-3900	365	6	⇔ gk	PERSON
ejpam-3900	367	1	n=0 wm	PERSON
ejpam-3900	368	1	26	CARDINAL
ejpam-3900	368	2	4.5	CARDINAL
ejpam-3900	369	1	26	CARDINAL
ejpam-3900	369	2	13	CARDINAL
ejpam-3900	369	3	k]q!wm	ORG
ejpam-3900	369	4	k]q[∆qm	PERSON
ejpam-3900	369	5	mneq([x+ jm+ r]q[t]q)]x=0	PERSON
ejpam-3900	371	1	1	CARDINAL
ejpam-3900	371	2	27	CARDINAL
ejpam-3900	371	3	26	CARDINAL
ejpam-3900	371	4	14	CARDINAL
ejpam-3900	371	5	∑ n≥k wm	PERSON
ejpam-3900	371	6	m(n2)+nr[t]n−kq∏n	PERSON
ejpam-3900	372	1	1.	CARDINAL
ejpam-3900	372	2	28	CARDINAL
ejpam-3900	372	3	27	CARDINAL
ejpam-3900	372	4	28	CARDINAL
ejpam-3900	372	5	wm	PERSON
ejpam-3900	373	1	mneq([x+ jm+ r]q[t]q)]x=0	ORG
ejpam-3900	374	1	n]qm	ORG
ejpam-3900	377	1	0	CARDINAL
ejpam-3900	378	1	29	CARDINAL
ejpam-3900	378	2	r. corcino	PERSON
ejpam-3900	378	3	j. ontolan	PERSON
ejpam-3900	378	4	m. lobrigas	PERSON
ejpam-3900	379	1	j. pure	PERSON
ejpam-3900	379	2	14	CARDINAL
ejpam-3900	379	3	1	CARDINAL
ejpam-3900	379	4	2021	CARDINAL
ejpam-3900	379	5	65-81 79	CARDINAL
ejpam-3900	380	1	4.6	CARDINAL
ejpam-3900	382	1	k]qwm	ORG
ejpam-3900	382	2	r[k	PRODUCT
ejpam-3900	383	1	30	CARDINAL
ejpam-3900	384	1	n∑ k=0	PERSON
ejpam-3900	386	1	n∑ k=0	PERSON
ejpam-3900	386	2	n∑ k=0	PERSON
ejpam-3900	386	3	n∑ k	PERSON
ejpam-3900	387	1	k]qwm	ORG
ejpam-3900	388	1		GPE
ejpam-3900	388	2	k]qwm	ORG
ejpam-3900	388	3	r[k	PRODUCT
ejpam-3900	388	4	j]q 	DATE
ejpam-3900	389	1	q.	PERSON
ejpam-3900	391	1	4.7	CARDINAL
ejpam-3900	392	1	first	ORDINAL
ejpam-3900	392	2	dm	ORG
ejpam-3900	392	3		GPE
ejpam-3900	392	4	r[k	PRODUCT
ejpam-3900	392	5	j]q 	DATE
ejpam-3900	393	1	25	CARDINAL
ejpam-3900	393	2	gk = wm	PERSON
ejpam-3900	393	3	r[k	PRODUCT
ejpam-3900	393	4	30	CARDINAL
ejpam-3900	393	5	wm	GPE
ejpam-3900	394	1	n∑ k	PERSON
ejpam-3900	396	1	31	CARDINAL
ejpam-3900	396	2	wm	GPE
ejpam-3900	397	1	80	CARDINAL
ejpam-3900	397	2	n∑ k=0 wm,−r[n	PERSON
ejpam-3900	397	3		GPE
ejpam-3900	397	4	r[k	PRODUCT
ejpam-3900	397	5	j]q 	DATE
ejpam-3900	398	1	f. qi	PERSON
ejpam-3900	398	2	11	CARDINAL
ejpam-3900	399	1	5	CARDINAL
ejpam-3900	399	2	first	ORDINAL
ejpam-3900	399	3	first	ORDINAL
ejpam-3900	400	1	two	CARDINAL
ejpam-3900	400	2	first	ORDINAL
ejpam-3900	402	1	7	CARDINAL
ejpam-3900	402	2	12	DATE
ejpam-3900	402	3	13	CARDINAL
ejpam-3900	405	1	1	CARDINAL
ejpam-3900	405	2	j. h. jung	PERSON
ejpam-3900	406	1	dowling lattices	ORG
ejpam-3900	407	1	312:2337–2348	CARDINAL
ejpam-3900	407	2	2012	DATE
ejpam-3900	408	1	2	CARDINAL
ejpam-3900	408	2	r. corcino	PERSON
ejpam-3900	410	1	commun	PERSON
ejpam-3900	411	1	korean	NORP
ejpam-3900	412	1	35(1):21–31	DATE
ejpam-3900	412	2	2020	DATE
ejpam-3900	413	1	3	CARDINAL
ejpam-3900	413	2	latayada	PERSON
ejpam-3900	413	3	vega	PERSON
ejpam-3900	416	1	j. pure	PERSON
ejpam-3900	416	2	12(2):279–293	DATE
ejpam-3900	416	3	2019	DATE
ejpam-3900	417	1	4	CARDINAL
ejpam-3900	417	2	corcino	NORP
ejpam-3900	417	3	c.b.	GPE
ejpam-3900	417	4	corcino	NORP
ejpam-3900	421	1	89:297–309	CARDINAL
ejpam-3900	421	2	2012	DATE
ejpam-3900	422	1	5	CARDINAL
ejpam-3900	422	2	corcino	NORP
ejpam-3900	422	3	c.b.	GPE
ejpam-3900	422	4	montero	PERSON
ejpam-3900	425	1	2012	DATE
ejpam-3900	426	1	6	CARDINAL
ejpam-3900	426	2	corcino	GPE
ejpam-3900	426	3	j.m. ontolan	GPE
ejpam-3900	426	4	j. cañete	PERSON
ejpam-3900	426	5	latayad	PERSON
ejpam-3900	427	1	second	ORDINAL
ejpam-3900	428	1	j. math	PERSON
ejpam-3900	429	1	sci.	GPE
ejpam-3900	429	2	272	CARDINAL
ejpam-3900	429	3	2020	DATE
ejpam-3900	430	1	81	CARDINAL
ejpam-3900	431	1	7	CARDINAL
ejpam-3900	431	2	u. duran	PERSON
ejpam-3900	431	3	m. acikgoz	PERSON
ejpam-3900	431	4	s. araci	PERSON
ejpam-3900	432	1	second	ORDINAL
ejpam-3900	433	1	j. inequal	PERSON
ejpam-3900	435	1	funct	PERSON
ejpam-3900	436	1	9(1):9–16	CARDINAL
ejpam-3900	436	2	2018	DATE
ejpam-3900	437	1	8	CARDINAL
ejpam-3900	437	2	lindsay j. et	PERSON
ejpam-3900	438	1	al	PERSON
ejpam-3900	440	1	j. combi.	PERSON
ejpam-3900	440	2	2(2):245–264, 2011	DATE
ejpam-3900	441	1	9	CARDINAL
ejpam-3900	441	2	m. kim	PERSON
ejpam-3900	441	3	j. son	PERSON
ejpam-3900	444	1	korean	NORP
ejpam-3900	445	1	17(3):423–430, 2002	DATE
ejpam-3900	446	1	10	CARDINAL
ejpam-3900	448	1	58:330–333	CARDINAL
ejpam-3900	448	2	2010	DATE
ejpam-3900	449	1	11	CARDINAL
ejpam-3900	449	2	f. qi	PERSON
ejpam-3900	450	1	lah	PERSON
ejpam-3900	452	1	j. math	PERSON
ejpam-3900	452	2	13(5):2795–2800	CARDINAL
ejpam-3900	452	3	2016	DATE
ejpam-3900	453	1	12	CARDINAL
ejpam-3900	453	2	srivastava	PERSON
ejpam-3900	453	3	m. riyasat	PERSON
ejpam-3900	453	4	s. khan	PERSON
ejpam-3900	453	5	s. araci	PERSON
ejpam-3900	453	6	m. acikgoz	PERSON
ejpam-3900	454	1	legendre-truncated-exponential	PERSON
ejpam-3900	454	2	riordan	PERSON
ejpam-3900	456	1	comput	PERSON
ejpam-3900	456	2	369:124683	CARDINAL
ejpam-3900	456	3	2020	DATE
ejpam-3900	457	1	13	CARDINAL
ejpam-3900	457	2	srivastava	PERSON
ejpam-3900	457	3	s. khan	PERSON
ejpam-3900	457	4	s. araci	PERSON
ejpam-3900	457	5	m. acikgoz	PERSON
ejpam-3900	457	6	m. riyasat	PERSON
ejpam-3900	458	1	three	CARDINAL
ejpam-3900	459	1	bull	PERSON
ejpam-3900	460	1	iran	GPE
ejpam-3900	462	1	46:519–542	CARDINAL
ejpam-3900	462	2	2020	DATE