id	sid	eid	entity	type
ejpam-3838	1	1	european journal	ORG
ejpam-3838	2	1	13	CARDINAL
ejpam-3838	2	2	4, 2020	DATE
ejpam-3838	2	3	873	CARDINAL
ejpam-3838	2	4	1307-5543	DATE
ejpam-3838	2	5	new york	GPE
ejpam-3838	2	6	erap	GPE
ejpam-3838	2	7	rowena alma betty1	PERSON
ejpam-3838	2	8	nemenzo1 1 institute of mathematics	ORG
ejpam-3838	2	9	the philippines diliman	ORG
ejpam-3838	2	10	quezon city	GPE
ejpam-3838	2	11	philippines	GPE
ejpam-3838	6	1	2020	DATE
ejpam-3838	6	2	94b05	CARDINAL
ejpam-3838	6	3	1	CARDINAL
ejpam-3838	9	1	the past years	DATE
ejpam-3838	9	2	8	CARDINAL
ejpam-3838	10	1	1994	DATE
ejpam-3838	10	2	7	CARDINAL
ejpam-3838	10	3	linear	ORG
ejpam-3838	11	1	by∑ c |en| |aut(c)|	ORG
ejpam-3838	11	2	aut(c	CARDINAL
ejpam-3838	14	1	l. e. galvez	PERSON
ejpam-3838	14	2	rabetty@math.upd.edu.ph	GPE
ejpam-3838	14	3	r. a. betty	PERSON
ejpam-3838	14	4	fidel@math.upd.edu.ph	GPE
ejpam-3838	14	5	f. nemenzo	PERSON
ejpam-3838	15	1	873	CARDINAL
ejpam-3838	15	2	2020	DATE
ejpam-3838	16	1	l.e. galvez	ORG
ejpam-3838	16	2	r.a. betty	PERSON
ejpam-3838	16	3	f. nemenzo	PERSON
ejpam-3838	17	1	j. pure	PERSON
ejpam-3838	17	2	13	CARDINAL
ejpam-3838	17	3	4	CARDINAL
ejpam-3838	17	4	2020	DATE
ejpam-3838	17	5	873	CARDINAL
ejpam-3838	17	6	6	CARDINAL
ejpam-3838	17	7	3	CARDINAL
ejpam-3838	19	1	zp2	DATE
ejpam-3838	19	2	2	CARDINAL
ejpam-3838	19	3	z8	DATE
ejpam-3838	19	4	16	CARDINAL
ejpam-3838	19	5	1	CARDINAL
ejpam-3838	20	1	k0	ORG
ejpam-3838	20	2	k0	ORG
ejpam-3838	20	3	k0	ORG
ejpam-3838	24	1	2	CARDINAL
ejpam-3838	27	1	r.	NORP
ejpam-3838	28	1	fq[u]/(u2	GPE
ejpam-3838	32	1	1	CARDINAL
ejpam-3838	33	1	k0	ORG
ejpam-3838	34	1	0	CARDINAL
ejpam-3838	41	1	i=1 xiyi	PERSON
ejpam-3838	42	1	∈	ORG
ejpam-3838	43	1	y〉h	PERSON
ejpam-3838	44	1	i=1 xiyi	PERSON
ejpam-3838	46	1	〉	CARDINAL
ejpam-3838	46	2	∈	ORG
ejpam-3838	46	3	〉	CARDINAL
ejpam-3838	47	1	⊆	CARDINAL
ejpam-3838	47	2	c⊥.	GPE
ejpam-3838	50	1	∃w ∈	PERSON
ejpam-3838	50	2	res(c	ORG
ejpam-3838	51	1	galvez	GPE
ejpam-3838	51	2	r.a. betty	PERSON
ejpam-3838	51	3	f. nemenzo	PERSON
ejpam-3838	52	1	j. pure	PERSON
ejpam-3838	52	2	13	CARDINAL
ejpam-3838	52	3	4	CARDINAL
ejpam-3838	52	4	2020	DATE
ejpam-3838	52	5	873	CARDINAL
ejpam-3838	52	6	tor(c	CARDINAL
ejpam-3838	53	1	1	CARDINAL
ejpam-3838	53	2	res(c	ORG
ejpam-3838	53	3	tor(c	CARDINAL
ejpam-3838	54	1	res(c	ORG
ejpam-3838	54	2	⊆	CARDINAL
ejpam-3838	55	1	lemma	ORG
ejpam-3838	56	1	6	CARDINAL
ejpam-3838	57	1	1	CARDINAL
ejpam-3838	59	1	⊆	CARDINAL
ejpam-3838	59	2	tor(c	CARDINAL
ejpam-3838	59	3	⊆	CARDINAL
ejpam-3838	59	4	tor(c	CARDINAL
ejpam-3838	59	5	3	CARDINAL
ejpam-3838	59	6	k0	ORG
ejpam-3838	59	7	2	CARDINAL
ejpam-3838	59	8	3	CARDINAL
ejpam-3838	60	1	2	CARDINAL
ejpam-3838	61	1	tor(c	CARDINAL
ejpam-3838	61	2	4	CARDINAL
ejpam-3838	63	1	∈mk0(fq	ORG
ejpam-3838	63	2	0	CARDINAL
ejpam-3838	64	1	⊆	CARDINAL
ejpam-3838	64	2	l.e. galvez	ORG
ejpam-3838	64	3	r.a. betty	PERSON
ejpam-3838	64	4	f. nemenzo	PERSON
ejpam-3838	65	1	j. pure	PERSON
ejpam-3838	65	2	13	CARDINAL
ejpam-3838	65	3	4	CARDINAL
ejpam-3838	65	4	2020	DATE
ejpam-3838	65	5	873	CARDINAL
ejpam-3838	70	1	4	CARDINAL
ejpam-3838	72	1	rk01	PRODUCT
ejpam-3838	75	1	rk01	PRODUCT
ejpam-3838	77	1	⊆	CARDINAL
ejpam-3838	77	2	⊆	CARDINAL
ejpam-3838	79	1	5	CARDINAL
ejpam-3838	80	1	6	CARDINAL
ejpam-3838	80	2	5	CARDINAL
ejpam-3838	81	1	symk0(fq	DATE
ejpam-3838	81	2	k0 × k0	ORG
ejpam-3838	82	1	3	CARDINAL
ejpam-3838	86	1	symm(fq	ORG
ejpam-3838	86	2	skewm(fq	GPE
ejpam-3838	87	1	l.e. galvez	PERSON
ejpam-3838	87	2	r.a. betty	PERSON
ejpam-3838	87	3	f. nemenzo	PERSON
ejpam-3838	88	1	j. pure	PERSON
ejpam-3838	88	2	13	CARDINAL
ejpam-3838	88	3	4	CARDINAL
ejpam-3838	88	4	2020	DATE
ejpam-3838	88	5	873	CARDINAL
ejpam-3838	89	1	2	CARDINAL
ejpam-3838	96	1	4	CARDINAL
ejpam-3838	97	1	1	CARDINAL
ejpam-3838	98	1	+1)/2	DATE
ejpam-3838	100	1	lemma 2	ORG
ejpam-3838	100	2	un	ORG
ejpam-3838	104	1	is∣∣{n	PERSON
ejpam-3838	106	1	7	CARDINAL
ejpam-3838	106	2	5	CARDINAL
ejpam-3838	107	1	7	CARDINAL
ejpam-3838	107	2	∣∣{n	PERSON
ejpam-3838	109	1	k0(2n−3k0−1	PERSON
ejpam-3838	109	2	2	DATE
ejpam-3838	109	3	2	DATE
ejpam-3838	109	4	3	CARDINAL
ejpam-3838	111	1	5	CARDINAL
ejpam-3838	111	2	3	CARDINAL
ejpam-3838	111	3	is∣∣{n	PERSON
ejpam-3838	111	4	t −nat	GPE
ejpam-3838	111	5	2	CARDINAL
ejpam-3838	112	1	l.e. galvez	PERSON
ejpam-3838	112	2	r.a. betty	PERSON
ejpam-3838	112	3	f. nemenzo	PERSON
ejpam-3838	113	1	j. pure	PERSON
ejpam-3838	113	2	13	CARDINAL
ejpam-3838	113	3	4	CARDINAL
ejpam-3838	113	4	2020	DATE
ejpam-3838	113	5	873	CARDINAL
ejpam-3838	114	1	⊆	CARDINAL
ejpam-3838	114	2	k0	ORG
ejpam-3838	114	3	⊆	CARDINAL
ejpam-3838	117	1	⊆	CARDINAL
ejpam-3838	118	1	⊆	CARDINAL
ejpam-3838	118	2	= c1	PERSON
ejpam-3838	118	3	tor(c ′	DATE
ejpam-3838	119	1	5	CARDINAL
ejpam-3838	122	1	∈ x|c	ORG
ejpam-3838	125	1	lemma 2	ORG
ejpam-3838	125	2	4	CARDINAL
ejpam-3838	127	1	⊆	CARDINAL
ejpam-3838	127	2	rk01	PRODUCT
ejpam-3838	131	1	rk01	PRODUCT
ejpam-3838	132	1	rk01	PRODUCT
ejpam-3838	138	1	∈	ORG
ejpam-3838	138	2	⊆	CARDINAL
ejpam-3838	138	3	lemma 2	ORG
ejpam-3838	139	1	rk01	PRODUCT
ejpam-3838	140	1	⊆	CARDINAL
ejpam-3838	140	2	a+ uf ≡	ORG
ejpam-3838	141	1	+md	GPE
ejpam-3838	142	1	f ≡ n + md (u	ORG
ejpam-3838	143	1	∣∣{c ∈ x|c	ORG
ejpam-3838	144	1	= qk0k1 .	PERSON
ejpam-3838	145	1	6	CARDINAL
ejpam-3838	146	1	∈	ORG
ejpam-3838	148	1	⊆	CARDINAL
ejpam-3838	150	1	un	ORG
ejpam-3838	150	2	lemma 2	ORG
ejpam-3838	152	1	tor(c	CARDINAL
ejpam-3838	153	1	⊆	CARDINAL
ejpam-3838	154	1	6	CARDINAL
ejpam-3838	155	1	∈	ORG
ejpam-3838	155	2	⊆	CARDINAL
ejpam-3838	157	1	lemma 2,	ORG
ejpam-3838	158	1	⊆	CARDINAL
ejpam-3838	159	1	⊆	CARDINAL
ejpam-3838	161	1	l.e. galvez	PERSON
ejpam-3838	161	2	r.a. betty	PERSON
ejpam-3838	161	3	f. nemenzo	PERSON
ejpam-3838	162	1	j. pure	PERSON
ejpam-3838	162	2	13	CARDINAL
ejpam-3838	162	3	4	CARDINAL
ejpam-3838	162	4	2020	DATE
ejpam-3838	162	5	873	CARDINAL
ejpam-3838	162	6	1	CARDINAL
ejpam-3838	163	1	⊆	CARDINAL
ejpam-3838	163	2	⊆	CARDINAL
ejpam-3838	164	1	tor(c	CARDINAL
ejpam-3838	164	2	1	CARDINAL
ejpam-3838	164	3	tor(c	CARDINAL
ejpam-3838	165	1	qk0(2n−3k0−2k1	GPE
ejpam-3838	165	2	+1)/2	DATE
ejpam-3838	167	1	2	CARDINAL
ejpam-3838	167	2	3	CARDINAL
ejpam-3838	169	1	5	CARDINAL
ejpam-3838	169	2	6	CARDINAL
ejpam-3838	169	3	∣∣{c ∈ x|c	ORG
ejpam-3838	170	1	c∈x ∣∣{c	ORG
ejpam-3838	170	2	∈	ORG
ejpam-3838	170	3	⊆	CARDINAL
ejpam-3838	170	4	1	CARDINAL
ejpam-3838	171	1	lemma 4	ORG
ejpam-3838	171	2	4	CARDINAL
ejpam-3838	171	3	k0	ORG
ejpam-3838	171	4	k0	ORG
ejpam-3838	171	5	9	CARDINAL
ejpam-3838	171	6	10	CARDINAL
ejpam-3838	173	1	1)(qn	CARDINAL
ejpam-3838	173	2	qk − 1)(qk − q	ORG
ejpam-3838	173	3	qk − qk−1	ORG
ejpam-3838	175	1	l.e. galvez	ORG
ejpam-3838	175	2	r.a. betty	PERSON
ejpam-3838	175	3	f. nemenzo	PERSON
ejpam-3838	176	1	j. pure	PERSON
ejpam-3838	176	2	13	CARDINAL
ejpam-3838	176	3	4	CARDINAL
ejpam-3838	176	4	2020	DATE
ejpam-3838	176	5	873	CARDINAL
ejpam-3838	176	6	2	CARDINAL
ejpam-3838	177	1	k0	ORG
ejpam-3838	177	2	k1)e	PERSON
ejpam-3838	177	3	k0	ORG
ejpam-3838	177	4	k1)h	PERSON
ejpam-3838	177	5	k0	ORG
ejpam-3838	178	1	k0	ORG
ejpam-3838	178	2	k0	ORG
ejpam-3838	178	3	n−	ORG
ejpam-3838	178	4	2k0	PRODUCT
ejpam-3838	178	5	1	CARDINAL
ejpam-3838	178	6	k0	ORG
ejpam-3838	178	7	k1)h	PERSON
ejpam-3838	178	8	k0	ORG
ejpam-3838	178	9	n−	ORG
ejpam-3838	178	10	2k0	PRODUCT
ejpam-3838	178	11	qk0(2n−3k0−2k1	GPE
ejpam-3838	178	12	+1)/2	DATE
ejpam-3838	180	1	k0	ORG
ejpam-3838	180	2	tor(c	CARDINAL
ejpam-3838	180	3	1	CARDINAL
ejpam-3838	181	1	k0	ORG
ejpam-3838	182	1	c1	PERSON
ejpam-3838	182	2	n−	ORG
ejpam-3838	182	3	2k0	PRODUCT
ejpam-3838	183	1	⊆	CARDINAL
ejpam-3838	183	2	⊆	CARDINAL
ejpam-3838	184	1	1	CARDINAL
ejpam-3838	184	2	1	CARDINAL
ejpam-3838	185	1	∑ 0≤k0≤bn2	PERSON
ejpam-3838	185	2	k0)q k0(k0+ε)/2	PERSON
ejpam-3838	185	3	1	CARDINAL
ejpam-3838	186	1	k0)q k0(k0+1)/2	PERSON
ejpam-3838	187	1	9	CARDINAL
ejpam-3838	188	1	k0	ORG
ejpam-3838	188	2	2k0)e	CARDINAL
ejpam-3838	188	3	∑ 0≤k0≤bn2	PERSON
ejpam-3838	188	4	k0	ORG
ejpam-3838	188	5	2k0)h	CARDINAL
ejpam-3838	189	1	6	CARDINAL
ejpam-3838	189	2	3	CARDINAL
ejpam-3838	190	1	9	CARDINAL
ejpam-3838	192	1	l.e. galvez	ORG
ejpam-3838	192	2	r.a. betty	PERSON
ejpam-3838	192	3	f. nemenzo	PERSON
ejpam-3838	193	1	j. pure	PERSON
ejpam-3838	193	2	13	CARDINAL
ejpam-3838	193	3	4	CARDINAL
ejpam-3838	193	4	2020	DATE
ejpam-3838	193	5	873	CARDINAL
ejpam-3838	193	6	2	CARDINAL
ejpam-3838	194	1	k0	ORG
ejpam-3838	194	2	k0	ORG
ejpam-3838	196	1	k0	ORG
ejpam-3838	196	2	⊆	CARDINAL
ejpam-3838	197	1	2	CARDINAL
ejpam-3838	197	2	k0	ORG
ejpam-3838	198	1	|{c1	NORP
ejpam-3838	200	1	⊆	CARDINAL
ejpam-3838	200	2	∣∣∣	CARDINAL
ejpam-3838	202	1	k0 + k1	PRODUCT
ejpam-3838	205	1	5	CARDINAL
ejpam-3838	205	2	2	CARDINAL
ejpam-3838	206	1	two	CARDINAL
ejpam-3838	206	2	1 +	CARDINAL
ejpam-3838	206	3	two	CARDINAL
ejpam-3838	206	4	2	CARDINAL
ejpam-3838	206	5	two	CARDINAL
ejpam-3838	206	6	∈	ORG
ejpam-3838	206	7	2	CARDINAL
ejpam-3838	206	8	1 +	DATE
ejpam-3838	206	9	1 + 2u	CARDINAL
ejpam-3838	206	10	2 + u	DATE
ejpam-3838	206	11	2 + 2u	CARDINAL
ejpam-3838	207	1	4	CARDINAL
ejpam-3838	207	2	2	CARDINAL
ejpam-3838	208	1	4	CARDINAL
ejpam-3838	208	2	2	CARDINAL
ejpam-3838	208	3	1	CARDINAL
ejpam-3838	208	4	1	CARDINAL
ejpam-3838	208	5	2 +	DATE
ejpam-3838	208	6	0	CARDINAL
ejpam-3838	208	7	1 +	DATE
ejpam-3838	209	1	48	DATE
ejpam-3838	209	2	24	DATE
ejpam-3838	212	1	24	CARDINAL
ejpam-3838	212	2	4	CARDINAL
ejpam-3838	212	3	48	CARDINAL
ejpam-3838	213	1	4	CARDINAL
ejpam-3838	213	2	24	CARDINAL
ejpam-3838	213	3	8 + 16	DATE
ejpam-3838	213	4	24	CARDINAL
ejpam-3838	213	5	2	CARDINAL
ejpam-3838	213	6	m3(4	PRODUCT
ejpam-3838	213	7	2	CARDINAL
ejpam-3838	213	8	2	CARDINAL
ejpam-3838	213	9	2 0	DATE
ejpam-3838	213	10	3 32(8−6−0−1)/2	CARDINAL
ejpam-3838	213	11	8	CARDINAL
ejpam-3838	213	12	1	CARDINAL
ejpam-3838	213	13	3	CARDINAL
ejpam-3838	213	14	24	CARDINAL
ejpam-3838	214	1	l.e. galvez	ORG
ejpam-3838	214	2	r.a. betty	PERSON
ejpam-3838	214	3	f. nemenzo	PERSON
ejpam-3838	215	1	j. pure	PERSON
ejpam-3838	215	2	13	CARDINAL
ejpam-3838	215	3	4	CARDINAL
ejpam-3838	215	4	2020	DATE
ejpam-3838	215	5	873	CARDINAL
ejpam-3838	215	6	two	CARDINAL
ejpam-3838	215	7	4	CARDINAL
ejpam-3838	215	8	2	CARDINAL
ejpam-3838	215	9	0	CARDINAL
ejpam-3838	216	1	0	CARDINAL
ejpam-3838	217	1	1	CARDINAL
ejpam-3838	217	2	2	CARDINAL
ejpam-3838	217	3	2	CARDINAL
ejpam-3838	217	4	2	CARDINAL
ejpam-3838	218	1	1	CARDINAL
ejpam-3838	219	1	1	CARDINAL
ejpam-3838	220	1	5	CARDINAL
ejpam-3838	220	2	k0	ORG
ejpam-3838	220	3	2k0	CARDINAL
ejpam-3838	221	1	1	CARDINAL
ejpam-3838	221	2	2	CARDINAL
ejpam-3838	223	1	1	CARDINAL
ejpam-3838	223	2	2 ≤ n ≤ 7	QUANTITY
ejpam-3838	223	3	k0	ORG
ejpam-3838	223	4	k0	ORG
ejpam-3838	223	5	k0	ORG
ejpam-3838	223	6	2	CARDINAL
ejpam-3838	223	7	1	DATE
ejpam-3838	223	8	0	CARDINAL
ejpam-3838	223	9	1	CARDINAL
ejpam-3838	223	10	5	CARDINAL
ejpam-3838	223	11	2	DATE
ejpam-3838	223	12	1	CARDINAL
ejpam-3838	223	13	2	CARDINAL
ejpam-3838	223	14	6	CARDINAL
ejpam-3838	223	15	0	DATE
ejpam-3838	223	16	6	CARDINAL
ejpam-3838	223	17	1	CARDINAL
ejpam-3838	223	18	2	CARDINAL
ejpam-3838	223	19	0	DATE
ejpam-3838	223	20	1	CARDINAL
ejpam-3838	223	21	2	CARDINAL
ejpam-3838	223	22	5	CARDINAL
ejpam-3838	223	23	0	CARDINAL
ejpam-3838	223	24	1	CARDINAL
ejpam-3838	223	25	5	CARDINAL
ejpam-3838	223	26	7	CARDINAL
ejpam-3838	223	27	1	DATE
ejpam-3838	223	28	0	CARDINAL
ejpam-3838	223	29	12	CARDINAL
ejpam-3838	223	30	2	CARDINAL
ejpam-3838	223	31	0	DATE
ejpam-3838	223	32	2	CARDINAL
ejpam-3838	223	33	1	CARDINAL
ejpam-3838	223	34	5	CARDINAL
ejpam-3838	223	35	0	CARDINAL
ejpam-3838	223	36	2	CARDINAL
ejpam-3838	223	37	10	CARDINAL
ejpam-3838	223	38	7	CARDINAL
ejpam-3838	223	39	1	DATE
ejpam-3838	223	40	1	CARDINAL
ejpam-3838	223	41	54	CARDINAL
ejpam-3838	223	42	3	CARDINAL
ejpam-3838	223	43	1	DATE
ejpam-3838	223	44	0	CARDINAL
ejpam-3838	223	45	2	CARDINAL
ejpam-3838	223	46	5	CARDINAL
ejpam-3838	223	47	0	DATE
ejpam-3838	223	48	3	CARDINAL
ejpam-3838	223	49	10	CARDINAL
ejpam-3838	223	50	7	CARDINAL
ejpam-3838	223	51	1	DATE
ejpam-3838	223	52	2	CARDINAL
ejpam-3838	223	53	100	CARDINAL
ejpam-3838	223	54	3	CARDINAL
ejpam-3838	223	55	1	DATE
ejpam-3838	223	56	1	CARDINAL
ejpam-3838	223	57	1	CARDINAL
ejpam-3838	223	58	5	CARDINAL
ejpam-3838	223	59	0	DATE
ejpam-3838	223	60	4	CARDINAL
ejpam-3838	223	61	5	CARDINAL
ejpam-3838	223	62	7	CARDINAL
ejpam-3838	223	63	1	DATE
ejpam-3838	223	64	3	CARDINAL
ejpam-3838	223	65	73	CARDINAL
ejpam-3838	223	66	3	CARDINAL
ejpam-3838	223	67	0	DATE
ejpam-3838	223	68	1	CARDINAL
ejpam-3838	223	69	3	CARDINAL
ejpam-3838	223	70	5	CARDINAL
ejpam-3838	223	71	0	DATE
ejpam-3838	223	72	5	CARDINAL
ejpam-3838	223	73	1	CARDINAL
ejpam-3838	223	74	7	CARDINAL
ejpam-3838	223	75	1	DATE
ejpam-3838	223	76	4	CARDINAL
ejpam-3838	223	77	24	CARDINAL
ejpam-3838	223	78	3	CARDINAL
ejpam-3838	223	79	0	DATE
ejpam-3838	223	80	2	CARDINAL
ejpam-3838	223	81	3	CARDINAL
ejpam-3838	223	82	6	CARDINAL
ejpam-3838	223	83	1	DATE
ejpam-3838	223	84	0	CARDINAL
ejpam-3838	223	85	9	CARDINAL
ejpam-3838	223	86	7	CARDINAL
ejpam-3838	223	87	1	DATE
ejpam-3838	223	88	5	CARDINAL
ejpam-3838	223	89	3	CARDINAL
ejpam-3838	223	90	3	CARDINAL
ejpam-3838	223	91	0	DATE
ejpam-3838	223	92	3	CARDINAL
ejpam-3838	223	93	1	CARDINAL
ejpam-3838	223	94	6	CARDINAL
ejpam-3838	223	95	1	DATE
ejpam-3838	223	96	1	CARDINAL
ejpam-3838	223	97	29	CARDINAL
ejpam-3838	223	98	7	CARDINAL
ejpam-3838	223	99	2	DATE
ejpam-3838	223	100	0	CARDINAL
ejpam-3838	223	101	43	CARDINAL
ejpam-3838	223	102	4	CARDINAL
ejpam-3838	223	103	1	DATE
ejpam-3838	223	104	0	CARDINAL
ejpam-3838	223	105	4	CARDINAL
ejpam-3838	223	106	6	CARDINAL
ejpam-3838	223	107	1	DATE
ejpam-3838	223	108	2	CARDINAL
ejpam-3838	223	109	36	CARDINAL
ejpam-3838	223	110	7	CARDINAL
ejpam-3838	223	111	2	DATE
ejpam-3838	223	112	1	CARDINAL
ejpam-3838	223	113	74	CARDINAL
ejpam-3838	223	114	4	CARDINAL
ejpam-3838	223	115	1	DATE
ejpam-3838	223	116	1	CARDINAL
ejpam-3838	223	117	5	CARDINAL
ejpam-3838	223	118	6	CARDINAL
ejpam-3838	223	119	1	DATE
ejpam-3838	223	120	3	CARDINAL
ejpam-3838	223	121	16	CARDINAL
ejpam-3838	223	122	7	CARDINAL
ejpam-3838	223	123	2	DATE
ejpam-3838	223	124	2	CARDINAL
ejpam-3838	223	125	40	CARDINAL
ejpam-3838	223	126	4	CARDINAL
ejpam-3838	223	127	1	DATE
ejpam-3838	223	128	2	CARDINAL
ejpam-3838	223	129	2	CARDINAL
ejpam-3838	223	130	6	CARDINAL
ejpam-3838	223	131	1	DATE
ejpam-3838	223	132	4	CARDINAL
ejpam-3838	223	133	3	CARDINAL
ejpam-3838	223	134	7	CARDINAL
ejpam-3838	223	135	2	DATE
ejpam-3838	223	136	3	CARDINAL
ejpam-3838	223	137	5	CARDINAL
ejpam-3838	223	138	4	CARDINAL
ejpam-3838	223	139	2	DATE
ejpam-3838	223	140	0	CARDINAL
ejpam-3838	223	141	2	CARDINAL
ejpam-3838	223	142	6	CARDINAL
ejpam-3838	223	143	2	DATE
ejpam-3838	223	144	0	CARDINAL
ejpam-3838	223	145	19	CARDINAL
ejpam-3838	223	146	7	CARDINAL
ejpam-3838	223	147	3	DATE
ejpam-3838	223	148	0	CARDINAL
ejpam-3838	223	149	22	CARDINAL
ejpam-3838	223	150	4	CARDINAL
ejpam-3838	223	151	0	DATE
ejpam-3838	223	152	1	CARDINAL
ejpam-3838	223	153	4	CARDINAL
ejpam-3838	223	154	6	CARDINAL
ejpam-3838	223	155	2	DATE
ejpam-3838	223	156	1	CARDINAL
ejpam-3838	223	157	18	CARDINAL
ejpam-3838	223	158	7	CARDINAL
ejpam-3838	223	159	3	DATE
ejpam-3838	223	160	1	CARDINAL
ejpam-3838	223	161	5	CARDINAL
ejpam-3838	223	162	4	CARDINAL
ejpam-3838	223	163	0	DATE
ejpam-3838	223	164	2	CARDINAL
ejpam-3838	223	165	6	CARDINAL
ejpam-3838	223	166	6	CARDINAL
ejpam-3838	223	167	2	DATE
ejpam-3838	223	168	2	CARDINAL
ejpam-3838	223	169	5	CARDINAL
ejpam-3838	223	170	7	CARDINAL
ejpam-3838	223	171	0	DATE
ejpam-3838	223	172	1	CARDINAL
ejpam-3838	223	173	7	CARDINAL
ejpam-3838	223	174	4	CARDINAL
ejpam-3838	223	175	0	DATE
ejpam-3838	223	176	3	CARDINAL
ejpam-3838	223	177	4	CARDINAL
ejpam-3838	223	178	6	CARDINAL
ejpam-3838	223	179	3	DATE
ejpam-3838	223	180	0	CARDINAL
ejpam-3838	223	181	4	CARDINAL
ejpam-3838	223	182	7	CARDINAL
ejpam-3838	223	183	0	DATE
ejpam-3838	223	184	2	CARDINAL
ejpam-3838	223	185	23	CARDINAL
ejpam-3838	223	186	4	CARDINAL
ejpam-3838	223	187	0	DATE
ejpam-3838	223	188	4	CARDINAL
ejpam-3838	223	189	1	CARDINAL
ejpam-3838	223	190	6	CARDINAL
ejpam-3838	223	191	0	DATE
ejpam-3838	223	192	1	CARDINAL
ejpam-3838	223	193	6	CARDINAL
ejpam-3838	223	194	7	CARDINAL
ejpam-3838	223	195	0	DATE
ejpam-3838	223	196	3	CARDINAL
ejpam-3838	223	197	43	CARDINAL
ejpam-3838	223	198	5	CARDINAL
ejpam-3838	223	199	1	DATE
ejpam-3838	223	200	0	CARDINAL
ejpam-3838	223	201	6	CARDINAL
ejpam-3838	223	202	6	CARDINAL
ejpam-3838	223	203	0	DATE
ejpam-3838	223	204	2	CARDINAL
ejpam-3838	223	205	16	CARDINAL
ejpam-3838	223	206	7	CARDINAL
ejpam-3838	223	207	0	DATE
ejpam-3838	223	208	4	CARDINAL
ejpam-3838	223	209	43	CARDINAL
ejpam-3838	223	210	5	CARDINAL
ejpam-3838	223	211	1	DATE
ejpam-3838	223	212	1	CARDINAL
ejpam-3838	223	213	13	CARDINAL
ejpam-3838	223	214	6	CARDINAL
ejpam-3838	223	215	0	DATE
ejpam-3838	223	216	3	CARDINAL
ejpam-3838	223	217	22	CARDINAL
ejpam-3838	223	218	7	CARDINAL
ejpam-3838	223	219	0	DATE
ejpam-3838	223	220	5	CARDINAL
ejpam-3838	223	221	23	CARDINAL
ejpam-3838	223	222	5	CARDINAL
ejpam-3838	223	223	1	DATE
ejpam-3838	223	224	2	CARDINAL
ejpam-3838	223	225	10	CARDINAL
ejpam-3838	223	226	6	CARDINAL
ejpam-3838	223	227	0	DATE
ejpam-3838	223	228	4	CARDINAL
ejpam-3838	223	229	16	CARDINAL
ejpam-3838	223	230	7	CARDINAL
ejpam-3838	223	231	0	DATE
ejpam-3838	223	232	6	CARDINAL
ejpam-3838	223	233	7	CARDINAL
ejpam-3838	223	234	5	CARDINAL
ejpam-3838	223	235	1	DATE
ejpam-3838	223	236	3	CARDINAL
ejpam-3838	223	237	2	CARDINAL
ejpam-3838	223	238	6	CARDINAL
ejpam-3838	223	239	0	DATE
ejpam-3838	223	240	5	CARDINAL
ejpam-3838	223	241	6	CARDINAL
ejpam-3838	223	242	7	CARDINAL
ejpam-3838	223	243	0	DATE
ejpam-3838	223	244	7	CARDINAL
ejpam-3838	223	245	1	CARDINAL
ejpam-3838	223	246	5	CARDINAL
ejpam-3838	223	247	2	DATE
ejpam-3838	223	248	0	CARDINAL
ejpam-3838	223	249	6	CARDINAL
ejpam-3838	223	250	galvez	GPE
ejpam-3838	223	251	r.a. betty	PERSON
ejpam-3838	223	252	f. nemenzo	PERSON
ejpam-3838	224	1	j. pure	PERSON
ejpam-3838	224	2	13	CARDINAL
ejpam-3838	224	3	4	CARDINAL
ejpam-3838	224	4	2020	DATE
ejpam-3838	224	5	873	CARDINAL
ejpam-3838	224	6	892 883	CARDINAL
ejpam-3838	224	7	2	CARDINAL
ejpam-3838	224	8	2 ≤ n ≤ 6	QUANTITY
ejpam-3838	224	9	k0	ORG
ejpam-3838	224	10	k0	ORG
ejpam-3838	224	11	hermitian	NORP
ejpam-3838	224	12	2	CARDINAL
ejpam-3838	224	13	1	DATE
ejpam-3838	224	14	0	CARDINAL
ejpam-3838	224	15	0	CARDINAL
ejpam-3838	224	16	5	CARDINAL
ejpam-3838	224	17	2	DATE
ejpam-3838	224	18	1	CARDINAL
ejpam-3838	224	19	2 1	CARDINAL
ejpam-3838	224	20	2	CARDINAL
ejpam-3838	224	21	0	DATE
ejpam-3838	224	22	1	CARDINAL
ejpam-3838	224	23	2 2	CARDINAL
ejpam-3838	224	24	5	CARDINAL
ejpam-3838	224	25	0	CARDINAL
ejpam-3838	224	26	1	CARDINAL
ejpam-3838	224	27	5 5	CARDINAL
ejpam-3838	224	28	2	CARDINAL
ejpam-3838	224	29	0	DATE
ejpam-3838	224	30	2	CARDINAL
ejpam-3838	224	31	1 1	CARDINAL
ejpam-3838	224	32	5	CARDINAL
ejpam-3838	224	33	0	CARDINAL
ejpam-3838	224	34	2	CARDINAL
ejpam-3838	224	35	12 12	CARDINAL
ejpam-3838	224	36	3	CARDINAL
ejpam-3838	224	37	1	DATE
ejpam-3838	224	38	0	CARDINAL
ejpam-3838	224	39	2 1	DATE
ejpam-3838	224	40	5	CARDINAL
ejpam-3838	224	41	0	DATE
ejpam-3838	224	42	3	CARDINAL
ejpam-3838	224	43	12 12	CARDINAL
ejpam-3838	224	44	3	CARDINAL
ejpam-3838	224	45	1	DATE
ejpam-3838	224	46	1	CARDINAL
ejpam-3838	224	47	1 1	CARDINAL
ejpam-3838	224	48	5	CARDINAL
ejpam-3838	224	49	0	DATE
ejpam-3838	224	50	4	CARDINAL
ejpam-3838	224	51	5 5	CARDINAL
ejpam-3838	224	52	3	CARDINAL
ejpam-3838	224	53	0	DATE
ejpam-3838	224	54	1	CARDINAL
ejpam-3838	224	55	3 3	CARDINAL
ejpam-3838	224	56	5	CARDINAL
ejpam-3838	224	57	0	DATE
ejpam-3838	224	58	5	CARDINAL
ejpam-3838	224	59	1 1	CARDINAL
ejpam-3838	224	60	3	CARDINAL
ejpam-3838	224	61	0	DATE
ejpam-3838	224	62	2	CARDINAL
ejpam-3838	224	63	3 3	CARDINAL
ejpam-3838	224	64	6	CARDINAL
ejpam-3838	224	65	1	DATE
ejpam-3838	224	66	0	CARDINAL
ejpam-3838	224	67	12 5	CARDINAL
ejpam-3838	224	68	3	CARDINAL
ejpam-3838	224	69	0	DATE
ejpam-3838	224	70	3	CARDINAL
ejpam-3838	224	71	1 1	CARDINAL
ejpam-3838	224	72	6	CARDINAL
ejpam-3838	224	73	1	DATE
ejpam-3838	224	74	1	CARDINAL
ejpam-3838	224	75	57 27	DATE
ejpam-3838	224	76	4	CARDINAL
ejpam-3838	224	77	1	DATE
ejpam-3838	224	78	0	CARDINAL
ejpam-3838	224	79	4 2	CARDINAL
ejpam-3838	224	80	6	CARDINAL
ejpam-3838	224	81	1	DATE
ejpam-3838	224	82	2	CARDINAL
ejpam-3838	224	83	64 34	DATE
ejpam-3838	224	84	4	CARDINAL
ejpam-3838	224	85	1	DATE
ejpam-3838	224	86	1	CARDINAL
ejpam-3838	224	87	6 4	CARDINAL
ejpam-3838	224	88	6	CARDINAL
ejpam-3838	224	89	1	DATE
ejpam-3838	224	90	3	CARDINAL
ejpam-3838	224	91	20 13	DATE
ejpam-3838	224	92	4	CARDINAL
ejpam-3838	224	93	1	DATE
ejpam-3838	224	94	2	CARDINAL
ejpam-3838	224	95	1 1	CARDINAL
ejpam-3838	224	96	6	CARDINAL
ejpam-3838	224	97	1	DATE
ejpam-3838	224	98	4	CARDINAL
ejpam-3838	224	99	2 2	CARDINAL
ejpam-3838	224	100	4	CARDINAL
ejpam-3838	224	101	2	DATE
ejpam-3838	224	102	0	CARDINAL
ejpam-3838	224	103	2 1	DATE
ejpam-3838	224	104	6	CARDINAL
ejpam-3838	224	105	2	DATE
ejpam-3838	224	106	0	CARDINAL
ejpam-3838	224	107	22 8	DATE
ejpam-3838	224	108	4	CARDINAL
ejpam-3838	224	109	0	DATE
ejpam-3838	224	110	1	CARDINAL
ejpam-3838	224	111	4 4	DATE
ejpam-3838	224	112	6	CARDINAL
ejpam-3838	224	113	2	DATE
ejpam-3838	224	114	1	CARDINAL
ejpam-3838	224	115	18 9	DATE
ejpam-3838	224	116	4	CARDINAL
ejpam-3838	224	117	0	DATE
ejpam-3838	224	118	2	CARDINAL
ejpam-3838	224	119	7 7	DATE
ejpam-3838	224	120	6	CARDINAL
ejpam-3838	224	121	2	DATE
ejpam-3838	224	122	2	CARDINAL
ejpam-3838	224	123	4 3	CARDINAL
ejpam-3838	224	124	4	CARDINAL
ejpam-3838	224	125	0	DATE
ejpam-3838	224	126	3	CARDINAL
ejpam-3838	224	127	4 4	DATE
ejpam-3838	224	128	6	CARDINAL
ejpam-3838	224	129	3	DATE
ejpam-3838	224	130	0	CARDINAL
ejpam-3838	224	131	0	CARDINAL
ejpam-3838	224	132	4	CARDINAL
ejpam-3838	224	133	0	DATE
ejpam-3838	224	134	4	CARDINAL
ejpam-3838	224	135	1 1	CARDINAL
ejpam-3838	224	136	6	CARDINAL
ejpam-3838	224	137	0	DATE
ejpam-3838	224	138	1	CARDINAL
ejpam-3838	224	139	6 6	CARDINAL
ejpam-3838	224	140	5	CARDINAL
ejpam-3838	224	141	1	DATE
ejpam-3838	224	142	0	CARDINAL
ejpam-3838	224	143	6 3	CARDINAL
ejpam-3838	224	144	6	CARDINAL
ejpam-3838	224	145	0	DATE
ejpam-3838	224	146	2	CARDINAL
ejpam-3838	224	147	20 20	CARDINAL
ejpam-3838	224	148	5	CARDINAL
ejpam-3838	224	149	1	DATE
ejpam-3838	224	150	1	CARDINAL
ejpam-3838	224	151	19 11	CARDINAL
ejpam-3838	224	152	6	CARDINAL
ejpam-3838	224	153	0	DATE
ejpam-3838	224	154	3	CARDINAL
ejpam-3838	224	155	31 31	DATE
ejpam-3838	224	156	5	CARDINAL
ejpam-3838	224	157	1	DATE
ejpam-3838	224	158	2	CARDINAL
ejpam-3838	224	159	10 7	DATE
ejpam-3838	224	160	6	CARDINAL
ejpam-3838	224	161	0	DATE
ejpam-3838	224	162	4	CARDINAL
ejpam-3838	224	163	20 20	CARDINAL
ejpam-3838	224	164	5	CARDINAL
ejpam-3838	224	165	1	DATE
ejpam-3838	224	166	3	CARDINAL
ejpam-3838	224	167	1 1	CARDINAL
ejpam-3838	224	168	6	CARDINAL
ejpam-3838	224	169	0	DATE
ejpam-3838	224	170	5	CARDINAL
ejpam-3838	224	171	6 6	CARDINAL
ejpam-3838	224	172	5	CARDINAL
ejpam-3838	224	173	2	DATE
ejpam-3838	224	174	0	CARDINAL
ejpam-3838	224	175	4 2	CARDINAL
ejpam-3838	224	176	6	CARDINAL
ejpam-3838	224	177	0	DATE
ejpam-3838	224	178	6	CARDINAL
ejpam-3838	228	1	0	CARDINAL
ejpam-3838	228	2	10	CARDINAL
ejpam-3838	230	1	∃w	GPE
ejpam-3838	230	2	∈	PRODUCT
ejpam-3838	232	1	∈	ORG
ejpam-3838	232	2	1	CARDINAL
ejpam-3838	232	3	2	DATE
ejpam-3838	233	1	⊆	CARDINAL
ejpam-3838	234	1	⊆	CARDINAL
ejpam-3838	236	1	10	CARDINAL
ejpam-3838	236	2	k0	ORG
ejpam-3838	236	3	11	CARDINAL
ejpam-3838	236	4	galvez	GPE
ejpam-3838	236	5	r.a. betty	PERSON
ejpam-3838	236	6	f. nemenzo	PERSON
ejpam-3838	237	1	j. pure	PERSON
ejpam-3838	237	2	13	CARDINAL
ejpam-3838	237	3	4	CARDINAL
ejpam-3838	237	4	2020	DATE
ejpam-3838	237	5	873	CARDINAL
ejpam-3838	237	6	12	CARDINAL
ejpam-3838	237	7	0	CARDINAL
ejpam-3838	237	8	f2	ORG
ejpam-3838	237	9	13	CARDINAL
ejpam-3838	237	10	f2	ORG
ejpam-3838	238	1	k0	ORG
ejpam-3838	239	1	+2k1+k2	CARDINAL
ejpam-3838	245	1	2 +b1b t	QUANTITY
ejpam-3838	246	1	u(a0	CARDINAL
ejpam-3838	247	1	t 1	DATE
ejpam-3838	249	1	2	CARDINAL
ejpam-3838	249	2	t 2	DATE
ejpam-3838	250	1	0	CARDINAL
ejpam-3838	250	2	0	CARDINAL
ejpam-3838	250	3	14	CARDINAL
ejpam-3838	251	1	0	CARDINAL
ejpam-3838	251	2	15	CARDINAL
ejpam-3838	253	1	0	CARDINAL
ejpam-3838	254	1	0	CARDINAL
ejpam-3838	254	2	16	CARDINAL
ejpam-3838	255	1	1	CARDINAL
ejpam-3838	255	2	17	CARDINAL
ejpam-3838	255	3	2	CARDINAL
ejpam-3838	255	4	18	CARDINAL
ejpam-3838	255	5	0	CARDINAL
ejpam-3838	256	1	19	CARDINAL
ejpam-3838	258	1	20	CARDINAL
ejpam-3838	258	2	14	CARDINAL
ejpam-3838	258	3	14	CARDINAL
ejpam-3838	258	4	17	CARDINAL
ejpam-3838	258	5	20	CARDINAL
ejpam-3838	258	6	⊆	CARDINAL
ejpam-3838	259	1	14	CARDINAL
ejpam-3838	259	2	17	CARDINAL
ejpam-3838	259	3	19	CARDINAL
ejpam-3838	259	4	⊆	CARDINAL
ejpam-3838	259	5	r2	FAC
ejpam-3838	260	1	1	CARDINAL
ejpam-3838	261	1	r2	FAC
ejpam-3838	262	1	res(c	ORG
ejpam-3838	263	1	l.e. galvez	PERSON
ejpam-3838	263	2	r.a. betty	PERSON
ejpam-3838	263	3	f. nemenzo	PERSON
ejpam-3838	264	1	j. pure	PERSON
ejpam-3838	264	2	13	CARDINAL
ejpam-3838	264	3	4	CARDINAL
ejpam-3838	264	4	2020	DATE
ejpam-3838	264	5	873	CARDINAL
ejpam-3838	264	6	res(c	ORG
ejpam-3838	264	7	0	CARDINAL
ejpam-3838	267	1	res(c	ORG
ejpam-3838	267	2	k0	ORG
ejpam-3838	268	1	14	CARDINAL
ejpam-3838	268	2	15	CARDINAL
ejpam-3838	268	3	17	CARDINAL
ejpam-3838	269	1	⊆	CARDINAL
ejpam-3838	269	2	k0	ORG
ejpam-3838	270	1	⊆	CARDINAL
ejpam-3838	270	2	⊆	CARDINAL
ejpam-3838	271	1	⊆	CARDINAL
ejpam-3838	271	2	⊆	CARDINAL
ejpam-3838	272	1	7	CARDINAL
ejpam-3838	273	1	k0	ORG
ejpam-3838	274	1	⊆	CARDINAL
ejpam-3838	274	2	⊆	CARDINAL
ejpam-3838	274	3	tor(c1	NORP
ejpam-3838	274	4	⊆	CARDINAL
ejpam-3838	274	5	⊆	CARDINAL
ejpam-3838	275	1	7	CARDINAL
ejpam-3838	275	2	k0	ORG
ejpam-3838	275	3	tor(c1	ORG
ejpam-3838	277	1	0	CARDINAL
ejpam-3838	278	1	c1	PERSON
ejpam-3838	282	1	1 +	QUANTITY
ejpam-3838	283	1	t 1	DATE
ejpam-3838	283	2	14	CARDINAL
ejpam-3838	283	3	15	CARDINAL
ejpam-3838	283	4	17	CARDINAL
ejpam-3838	284	1	tor(c1	NORP
ejpam-3838	286	1	0	CARDINAL
ejpam-3838	286	2	0	CARDINAL
ejpam-3838	286	3	galvez	GPE
ejpam-3838	286	4	r.a. betty	PERSON
ejpam-3838	286	5	f. nemenzo	PERSON
ejpam-3838	287	1	j. pure	PERSON
ejpam-3838	287	2	13	CARDINAL
ejpam-3838	287	3	4	CARDINAL
ejpam-3838	287	4	2020	DATE
ejpam-3838	287	5	873	CARDINAL
ejpam-3838	287	6	1	CARDINAL
ejpam-3838	287	7	14	CARDINAL
ejpam-3838	287	8	17	CARDINAL
ejpam-3838	287	9	19	CARDINAL
ejpam-3838	288	1	17	CARDINAL
ejpam-3838	288	2	a0 ≡	ORG
ejpam-3838	289	1	t 1	DATE
ejpam-3838	290	1	14	CARDINAL
ejpam-3838	290	2	t 1d1b	DATE
ejpam-3838	291	1	0	CARDINAL
ejpam-3838	291	2	0	CARDINAL
ejpam-3838	291	3	1d1b +	DATE
ejpam-3838	291	4	0	CARDINAL
ejpam-3838	292	1	k0	ORG
ejpam-3838	292	2	0	CARDINAL
ejpam-3838	292	3	res(c	ORG
ejpam-3838	293	1	first	ORDINAL
ejpam-3838	294	1	8	CARDINAL
ejpam-3838	295	1	k0	ORG
ejpam-3838	295	2	n0 ∈mk0×(n−k0−k1)(fq	GPE
ejpam-3838	295	3	0	CARDINAL
ejpam-3838	295	4	21	CARDINAL
ejpam-3838	295	5	n0	GPE
ejpam-3838	297	1	k0	ORG
ejpam-3838	297	2	0	CARDINAL
ejpam-3838	297	3	res(c	ORG
ejpam-3838	298	1	⊆	CARDINAL
ejpam-3838	305	1	0	CARDINAL
ejpam-3838	307	1	0	CARDINAL
ejpam-3838	309	1	0	CARDINAL
ejpam-3838	311	1	l.e. galvez	PERSON
ejpam-3838	311	2	r.a. betty	PERSON
ejpam-3838	311	3	f. nemenzo	PERSON
ejpam-3838	312	1	j. pure	PERSON
ejpam-3838	312	2	13	CARDINAL
ejpam-3838	312	3	4	CARDINAL
ejpam-3838	312	4	2020	DATE
ejpam-3838	312	5	873	CARDINAL
ejpam-3838	313	1	0	CARDINAL
ejpam-3838	313	2	⊆	CARDINAL
ejpam-3838	313	3	0	CARDINAL
ejpam-3838	313	4	21	CARDINAL
ejpam-3838	313	5	n0	GPE
ejpam-3838	314	1	0	CARDINAL
ejpam-3838	315	1	ud1 + u2n ′1 ≡	ORG
ejpam-3838	315	2	ud1 +	ORG
ejpam-3838	316	1	n0	GPE
ejpam-3838	317	1	k0	ORG
ejpam-3838	317	2	n0	GPE
ejpam-3838	318	1	9	CARDINAL
ejpam-3838	319	1	k0	ORG
ejpam-3838	319	2	0	CARDINAL
ejpam-3838	319	3	res(c	ORG
ejpam-3838	320	1	l.e. galvez	ORG
ejpam-3838	320	2	r.a. betty	PERSON
ejpam-3838	320	3	f. nemenzo	PERSON
ejpam-3838	321	1	j. pure	PERSON
ejpam-3838	321	2	13	CARDINAL
ejpam-3838	321	3	4	CARDINAL
ejpam-3838	321	4	2020	DATE
ejpam-3838	321	5	873	CARDINAL
ejpam-3838	322	1	lemma 8	ORG
ejpam-3838	322	2	0	CARDINAL
ejpam-3838	322	3	n0	GPE
ejpam-3838	325	1	22	CARDINAL
ejpam-3838	326	1	t 1	DATE
ejpam-3838	329	1	t 1	DATE
ejpam-3838	330	1	23	CARDINAL
ejpam-3838	330	2	matricesn0 andn1	PERSON
ejpam-3838	331	1	first	ORDINAL
ejpam-3838	331	2	n0	GPE
ejpam-3838	333	1	14	CARDINAL
ejpam-3838	333	2	15	CARDINAL
ejpam-3838	333	3	22	CARDINAL
ejpam-3838	335	1	0	CARDINAL
ejpam-3838	336	1	∈mk0×(n−k0−k1)|n0	ORG
ejpam-3838	336	2	22)}| = |{φ−1b0	ORG
ejpam-3838	338	1	t 1	DATE
ejpam-3838	340	1	17	CARDINAL
ejpam-3838	340	2	|{n1	ORG
ejpam-3838	340	3	23)}|	DATE
ejpam-3838	340	4	t 1	DATE
ejpam-3838	341	1	k0	ORG
ejpam-3838	341	2	0	CARDINAL
ejpam-3838	341	3	res(c	ORG
ejpam-3838	341	4	n0	GPE
ejpam-3838	341	5	22	CARDINAL
ejpam-3838	341	6	23	CARDINAL
ejpam-3838	342	1	l.e. galvez	PERSON
ejpam-3838	342	2	r.a. betty	PERSON
ejpam-3838	342	3	f. nemenzo	PERSON
ejpam-3838	343	1	j. pure	PERSON
ejpam-3838	343	2	13	CARDINAL
ejpam-3838	343	3	4	CARDINAL
ejpam-3838	343	4	2020	DATE
ejpam-3838	343	5	873	CARDINAL
ejpam-3838	344	1	0	CARDINAL
ejpam-3838	345	1	0	CARDINAL
ejpam-3838	345	2	f2	ORG
ejpam-3838	346	1	tor(c1	ORG
ejpam-3838	346	2	⊆	CARDINAL
ejpam-3838	346	3	⊆	CARDINAL
ejpam-3838	347	1	0	CARDINAL
ejpam-3838	347	2	0	CARDINAL
ejpam-3838	347	3	1	CARDINAL
ejpam-3838	348	1	0	CARDINAL
ejpam-3838	348	2	14	CARDINAL
ejpam-3838	348	3	17	CARDINAL
ejpam-3838	348	4	19	CARDINAL
ejpam-3838	349	1	k0	ORG
ejpam-3838	349	2	0},res(c	CARDINAL
ejpam-3838	352	1	= c1	PERSON
ejpam-3838	353	1	9	CARDINAL
ejpam-3838	356	1	10	CARDINAL
ejpam-3838	358	1	⊆	CARDINAL
ejpam-3838	359	1	21	CARDINAL
ejpam-3838	360	1	⊆	CARDINAL
ejpam-3838	363	1	′′	ORG
ejpam-3838	363	2	0	CARDINAL
ejpam-3838	363	3	0 0 u2f2	PERCENT
ejpam-3838	364	1	⊆	CARDINAL
ejpam-3838	364	2	′′	ORG
ejpam-3838	364	3	′′	ORG
ejpam-3838	364	4	tor2(c	ORG
ejpam-3838	364	5	′′	ORG
ejpam-3838	365	1	19	CARDINAL
ejpam-3838	365	2	′′	ORG
ejpam-3838	366	1	′′	ORG
ejpam-3838	367	1	rk22	PRODUCT
ejpam-3838	367	2	⊆	CARDINAL
ejpam-3838	367	3	⊆	CARDINAL
ejpam-3838	367	4	′′	ORG
ejpam-3838	367	5	+2k1+k2	CARDINAL
ejpam-3838	367	6	11	CARDINAL
ejpam-3838	369	1	⊆	CARDINAL
ejpam-3838	371	1	l.e. galvez	PERSON
ejpam-3838	371	2	r.a. betty	PERSON
ejpam-3838	371	3	f. nemenzo	PERSON
ejpam-3838	372	1	j. pure	PERSON
ejpam-3838	372	2	13	CARDINAL
ejpam-3838	372	3	4	CARDINAL
ejpam-3838	372	4	2020	DATE
ejpam-3838	372	5	873	CARDINAL
ejpam-3838	376	1	0	CARDINAL
ejpam-3838	376	2	0 0	PERCENT
ejpam-3838	379	1	⊆	CARDINAL
ejpam-3838	379	2	′′	ORG
ejpam-3838	381	1	0	CARDINAL
ejpam-3838	382	1	f2	ORG
ejpam-3838	383	1	⊆	CARDINAL
ejpam-3838	383	2	8	CARDINAL
ejpam-3838	383	3	0	CARDINAL
ejpam-3838	385	1	⊆	CARDINAL
ejpam-3838	386	1	′′	ORG
ejpam-3838	386	2	0	CARDINAL
ejpam-3838	387	1	0	CARDINAL
ejpam-3838	388	1	′′	ORG
ejpam-3838	388	2	0	CARDINAL
ejpam-3838	388	3	0 0 u2f2	PERCENT
ejpam-3838	391	1	⊆	CARDINAL
ejpam-3838	394	1	3	CARDINAL
ejpam-3838	395	1	c1	PERSON
ejpam-3838	395	2	k0	ORG
ejpam-3838	395	3	tor(c1	ORG
ejpam-3838	396	1	tor(c1	ORG
ejpam-3838	396	2	⊆	CARDINAL
ejpam-3838	396	3	⊆	CARDINAL
ejpam-3838	396	4	′	CARDINAL
ejpam-3838	397	1	qk0(2n−3k0−6k1−2k2−1)/2+k1(n−k1−k2	PERSON
ejpam-3838	398	1	l.e. galvez	PERSON
ejpam-3838	398	2	r.a. betty	PERSON
ejpam-3838	398	3	f. nemenzo	PERSON
ejpam-3838	399	1	j. pure	PERSON
ejpam-3838	399	2	13	CARDINAL
ejpam-3838	399	3	4	CARDINAL
ejpam-3838	399	4	2020	DATE
ejpam-3838	399	5	873	CARDINAL
ejpam-3838	401	1	lemma 10	ORG
ejpam-3838	401	2	lemma 11	ORG
ejpam-3838	401	3	′ ∣∣{c ∈ x|c	ORG
ejpam-3838	402	1	c∈y ∣∣{c ′	ORG
ejpam-3838	402	2	∈	ORG
ejpam-3838	402	3	⊆	CARDINAL
ejpam-3838	402	4	1	CARDINAL
ejpam-3838	403	1	9	CARDINAL
ejpam-3838	404	1	4	CARDINAL
ejpam-3838	405	1	k0	ORG
ejpam-3838	405	2	mr2(n	CARDINAL
ejpam-3838	405	3	k0	ORG
ejpam-3838	405	4	n−	ORG
ejpam-3838	405	5	2k0	CARDINAL
ejpam-3838	408	1	k0	ORG
ejpam-3838	408	2	7	CARDINAL
ejpam-3838	409	1	3	CARDINAL
ejpam-3838	410	1	2	CARDINAL
ejpam-3838	411	1	n−	ORG
ejpam-3838	411	2	2k0	CARDINAL
ejpam-3838	412	1	mr2(n	CARDINAL
ejpam-3838	412	2	k0	ORG
ejpam-3838	413	1	4	CARDINAL
ejpam-3838	413	2	3	CARDINAL
ejpam-3838	414	1	k0	ORG
ejpam-3838	414	2	2	CARDINAL
ejpam-3838	415	1	24	CARDINAL
ejpam-3838	416	1	3	CARDINAL
ejpam-3838	417	1	4	CARDINAL
ejpam-3838	417	2	24	CARDINAL
ejpam-3838	417	3	3	CARDINAL
ejpam-3838	417	4	1	CARDINAL
ejpam-3838	418	1	892	CARDINAL
ejpam-3838	419	1	markus grassl	PERSON
ejpam-3838	420	1	1	CARDINAL
ejpam-3838	420	2	koichi betsumiya	PERSON
ejpam-3838	420	3	rowena alma betty	ORG
ejpam-3838	420	4	akihiro munemasa	PERSON
ejpam-3838	421	1	z8	DATE
ejpam-3838	422	1	5921:65–77	GPE
ejpam-3838	422	2	2009	DATE
ejpam-3838	423	1	2	CARDINAL
ejpam-3838	423	2	rowena alma betty	ORG
ejpam-3838	423	3	akihiro munemasa	PERSON
ejpam-3838	424	1	zp2	DATE
ejpam-3838	425	1	journal of combinatorics	ORG
ejpam-3838	425	2	34:51–66	DATE
ejpam-3838	425	3	2009	DATE
ejpam-3838	426	1	3	CARDINAL
ejpam-3838	426	2	rowena alma betty	ORG
ejpam-3838	426	3	trilbe lizann vasquez	GPE
ejpam-3838	427	1	57:523–546	CARDINAL
ejpam-3838	427	2	2018	DATE
ejpam-3838	428	1	4	CARDINAL
ejpam-3838	428	2	john cannon	PERSON
ejpam-3838	428	3	catherine playoust	PERSON
ejpam-3838	431	1	24(3	CARDINAL
ejpam-3838	432	1	5	CARDINAL
ejpam-3838	432	2	philippe gaborit	PERSON
ejpam-3838	432	3	masaaki harada	PERSON
ejpam-3838	432	4	patrick solé. type	PERSON
ejpam-3838	433	1	1999	DATE
ejpam-3838	434	1	6	CARDINAL
ejpam-3838	436	1	42(4):1222–1228, 1996	DATE
ejpam-3838	437	1	7	CARDINAL
ejpam-3838	437	2	roger hammons	PERSON
ejpam-3838	437	3	robert calderbank	PERSON
ejpam-3838	437	4	neil ja sloane	PERSON
ejpam-3838	437	5	patrick solé.	PERSON
ejpam-3838	437	6	z4	GPE
ejpam-3838	437	7	kerdock	GPE
ejpam-3838	438	1	40(2):301–319, 1994	DATE
ejpam-3838	439	1	8	CARDINAL
ejpam-3838	439	2	cary huffman	PERSON
ejpam-3838	441	1	cambridge university press	ORG
ejpam-3838	441	2	2010	DATE
ejpam-3838	442	1	9	CARDINAL
ejpam-3838	444	1	atti della accademia nazionale dei lincei rendiconti-classe di scienze fisiche-matematiche & naturali	ORG
ejpam-3838	444	2	39(6):418, 1965	DATE
ejpam-3838	445	1	10	CARDINAL
ejpam-3838	447	1	5(3):215–228	CARDINAL
ejpam-3838	447	2	1968	DATE
ejpam-3838	448	1	11	CARDINAL
ejpam-3838	448	2	eric m	PERSON
ejpam-3838	450	1	amsterdam	GPE
ejpam-3838	450	2	177–294, 1998	DATE