id	sid	eid	entity	type
ejpam-3565	1	1	european journal	ORG
ejpam-3565	2	1	12	CARDINAL
ejpam-3565	2	2	4, 2019	DATE
ejpam-3565	2	3	1701	CARDINAL
ejpam-3565	2	4	1307-5543	CARDINAL
ejpam-3565	2	5	new york	GPE
ejpam-3565	2	6	e. vasquez1,∗	PERSON
ejpam-3565	2	7	gaudencio c. petalcorin	PERSON
ejpam-3565	2	8	mindanao state university iligan institute of technology	ORG
ejpam-3565	2	9	9200	CARDINAL
ejpam-3565	2	10	iligan city	GPE
ejpam-3565	3	1	philippines	GPE
ejpam-3565	7	1	2	CARDINAL
ejpam-3565	7	2	4	CARDINAL
ejpam-3565	7	3	3	CARDINAL
ejpam-3565	7	4	5	DATE
ejpam-3565	7	5	2010	DATE
ejpam-3565	7	6	94b05	CARDINAL
ejpam-3565	7	7	galois ring	ORG
ejpam-3565	7	8	1	CARDINAL
ejpam-3565	8	1	6	CARDINAL
ejpam-3565	8	2	non-linear	ORG
ejpam-3565	8	3	linear	ORG
ejpam-3565	8	4	4	CARDINAL
ejpam-3565	9	1	zm	ORG
ejpam-3565	10	1	linear	ORG
ejpam-3565	14	1	1	CARDINAL
ejpam-3565	14	2	5	DATE
ejpam-3565	14	3	9–11	CARDINAL
ejpam-3565	15	1	zm	ORG
ejpam-3565	15	2	13	CARDINAL
ejpam-3565	16	1	4	CARDINAL
ejpam-3565	16	2	13	CARDINAL
ejpam-3565	17	1	1	CARDINAL
ejpam-3565	18	1	vasquez	PERSON
ejpam-3565	18	2	1701	CARDINAL
ejpam-3565	18	3	2019	CARDINAL
ejpam-3565	19	1	t. l. vasquez	PERSON
ejpam-3565	20	1	j. pure	PERSON
ejpam-3565	20	2	12	CARDINAL
ejpam-3565	20	3	4	CARDINAL
ejpam-3565	20	4	2019	CARDINAL
ejpam-3565	20	5	1701-1716 1702	CARDINAL
ejpam-3565	20	6	2	CARDINAL
ejpam-3565	20	7	3	CARDINAL
ejpam-3565	21	1	4	CARDINAL
ejpam-3565	21	2	2	CARDINAL
ejpam-3565	21	3	2	CARDINAL
ejpam-3565	21	4	4	CARDINAL
ejpam-3565	22	1	10	CARDINAL
ejpam-3565	23	1	4	CARDINAL
ejpam-3565	23	2	2	CARDINAL
ejpam-3565	23	3	3	CARDINAL
ejpam-3565	23	4	5	DATE
ejpam-3565	23	5	2	CARDINAL
ejpam-3565	24	1	7→	CARDINAL
ejpam-3565	25	1	f(x	ORG
ejpam-3565	25	2	7→	CARDINAL
ejpam-3565	25	3	āix i.	PERSON
ejpam-3565	25	4	f(x	ORG
ejpam-3565	26	1	f(x	ORG
ejpam-3565	27	1	f(x	ORG
ejpam-3565	27	2	ω	ORG
ejpam-3565	27	3	〉	CARDINAL
ejpam-3565	27	4	1)st	CARDINAL
ejpam-3565	30	1	x]/〈f(x	CARDINAL
ejpam-3565	30	2	〉	CARDINAL
ejpam-3565	32	1	ω	ORDINAL
ejpam-3565	32	2	2 + ·	DATE
ejpam-3565	33	1	r−1	GPE
ejpam-3565	33	2	∈	ORG
ejpam-3565	33	3	1	CARDINAL
ejpam-3565	36	1	x]/〈f(x	CARDINAL
ejpam-3565	36	2	〉	CARDINAL
ejpam-3565	36	3	〉	CARDINAL
ejpam-3565	36	4	7→	CARDINAL
ejpam-3565	37	1	0	CARDINAL
ejpam-3565	37	2	1	DATE
ejpam-3565	37	3	ω	GPE
ejpam-3565	40	1	one	CARDINAL
ejpam-3565	42	1	∈	ORG
ejpam-3565	43	1	∈	ORG
ejpam-3565	43	2	0	CARDINAL
ejpam-3565	44	1	8	CARDINAL
ejpam-3565	44	2	16	CARDINAL
ejpam-3565	45	1	sn	ORG
ejpam-3565	48	1	two	CARDINAL
ejpam-3565	49	1	zero	CARDINAL
ejpam-3565	50	1	t. l. vasquez	PERSON
ejpam-3565	51	1	j. pure	PERSON
ejpam-3565	51	2	12	CARDINAL
ejpam-3565	51	3	4	CARDINAL
ejpam-3565	51	4	2019	CARDINAL
ejpam-3565	51	5	1701-1716 1703	CARDINAL
ejpam-3565	51	6	⊆	CARDINAL
ejpam-3565	55	1	k = n 2	PERSON
ejpam-3565	59	1	a0,1 a0,2	PERSON
ejpam-3565	60	1	a0,e 0 pik1 pa1,2	ORG
ejpam-3565	64	1	pe−1ae−1,e	NORP
ejpam-3565	64	2	1	CARDINAL
ejpam-3565	64	3	iki	ORG
ejpam-3565	64	4	ki× ki	PERSON
ejpam-3565	65	1	k0	ORG
ejpam-3565	67	1	ke−1	PERSON
ejpam-3565	67	2	ke =	PERSON
ejpam-3565	69	1	i=0 ki	PERSON
ejpam-3565	70	1	1	CARDINAL
ejpam-3565	70	2	k0	ORG
ejpam-3565	72	1	ke−1	PERSON
ejpam-3565	74	1	{ke	PERSON
ejpam-3565	74	2	ke−1	PERSON
ejpam-3565	78	1	k0	ORG
ejpam-3565	80	1	ke−1	PERSON
ejpam-3565	80	2	0 ≤	MONEY
ejpam-3565	81	1	1	CARDINAL
ejpam-3565	82	1	v̄	ORG
ejpam-3565	84	1	res(c	ORG
ejpam-3565	85	1	1	CARDINAL
ejpam-3565	85	2	a0,1 a0,2	PERSON
ejpam-3565	86	1	a0,i−1	PERSON
ejpam-3565	87	1	a0,e 0 ik1 a1,2	FAC
ejpam-3565	87	2	a1,e	PERSON
ejpam-3565	89	1	iki	PERSON
ejpam-3565	89	2	aij	ORG
ejpam-3565	90	1	two	CARDINAL
ejpam-3565	91	1	two	CARDINAL
ejpam-3565	91	2	±1	PERSON
ejpam-3565	91	3	zero	CARDINAL
ejpam-3565	93	1	t. l. vasquez	PERSON
ejpam-3565	94	1	j. pure	PERSON
ejpam-3565	94	2	12	CARDINAL
ejpam-3565	94	3	4	CARDINAL
ejpam-3565	94	4	2019	CARDINAL
ejpam-3565	94	5	1701	CARDINAL
ejpam-3565	94	6	2nn	ORDINAL
ejpam-3565	97	1	7	CARDINAL
ejpam-3565	97	2	12	CARDINAL
ejpam-3565	99	1	1	CARDINAL
ejpam-3565	100	1	14	CARDINAL
ejpam-3565	102	1	char fq	PERSON
ejpam-3565	102	2	2	CARDINAL
ejpam-3565	102	3	+ εqn/2	PERSON
ejpam-3565	102	4	1	CARDINAL
ejpam-3565	103	1	1	CARDINAL
ejpam-3565	103	2	k ≥ 2	ORG
ejpam-3565	103	3	1	CARDINAL
ejpam-3565	104	1	2	CARDINAL
ejpam-3565	105	1	15	CARDINAL
ejpam-3565	106	1	k ≤ n	FAC
ejpam-3565	107	1	1)(qn	CARDINAL
ejpam-3565	107	2	qk − 1)(qk − q	ORG
ejpam-3565	107	3	qk − qk−1	ORG
ejpam-3565	108	1	3	CARDINAL
ejpam-3565	108	2	ik	ORG
ejpam-3565	108	3	0	CARDINAL
ejpam-3565	108	4	0	CARDINAL
ejpam-3565	108	5	2	CARDINAL
ejpam-3565	109	1	t. l. vasquez	PERSON
ejpam-3565	110	1	j. pure	PERSON
ejpam-3565	110	2	12	CARDINAL
ejpam-3565	110	3	4	CARDINAL
ejpam-3565	110	4	2019	CARDINAL
ejpam-3565	110	5	1701	CARDINAL
ejpam-3565	111	1	+ pb41	PERSON
ejpam-3565	112	1	b3, c4	ORG
ejpam-3565	112	2	aij	ORG
ejpam-3565	112	3	bij	ORG
ejpam-3565	112	4	tpr	ORG
ejpam-3565	115	1	{k, l	PERSON
ejpam-3565	117	1	2	CARDINAL
ejpam-3565	117	2	res(c	ORG
ejpam-3565	117	3	ik a2 a30 a40	PERSON
ejpam-3565	117	4	3	CARDINAL
ejpam-3565	117	5	first	ORDINAL
ejpam-3565	119	1	ik a2 a30	PERSON
ejpam-3565	119	2	il b3 b40	PERSON
ejpam-3565	119	3	4	CARDINAL
ejpam-3565	119	4	second	ORDINAL
ejpam-3565	120	1	ab	ORG
ejpam-3565	120	2	mod p	ORG
ejpam-3565	120	3	a30	ORG
ejpam-3565	120	4	il b3	PERSON
ejpam-3565	120	5	0	CARDINAL
ejpam-3565	122	1	5	CARDINAL
ejpam-3565	124	1	2	CARDINAL
ejpam-3565	126	1	k = h	ORG
ejpam-3565	127	1	6	CARDINAL
ejpam-3565	128	1	7	CARDINAL
ejpam-3565	131	1	9	CARDINAL
ejpam-3565	134	1	0	CARDINAL
ejpam-3565	136	1	0	CARDINAL
ejpam-3565	136	2	6)-(9	CARDINAL
ejpam-3565	137	1	{k, l	PERSON
ejpam-3565	138	1	k = h	ORG
ejpam-3565	138	2	k = h	ORG
ejpam-3565	138	3	6)-(9	CARDINAL
ejpam-3565	139	1	6)-(9	CARDINAL
ejpam-3565	139	2	ggt ≡	ORG
ejpam-3565	141	1	⊆	CARDINAL
ejpam-3565	141	2	c⊥.	GPE
ejpam-3565	141	3	k = h	ORG
ejpam-3565	142	1	t. l. vasquez	PERSON
ejpam-3565	143	1	j. pure	PERSON
ejpam-3565	143	2	12	CARDINAL
ejpam-3565	143	3	4	CARDINAL
ejpam-3565	143	4	2019	CARDINAL
ejpam-3565	143	5	1701	CARDINAL
ejpam-3565	143	6	1	CARDINAL
ejpam-3565	144	1	{k, l, l	PERSON
ejpam-3565	145	1	2	CARDINAL
ejpam-3565	146	1	{k, l, l	PERSON
ejpam-3565	149	1	2	CARDINAL
ejpam-3565	150	1	res(c	ORG
ejpam-3565	150	2	3	CARDINAL
ejpam-3565	150	3	4	CARDINAL
ejpam-3565	150	4	5	CARDINAL
ejpam-3565	151	1	6	CARDINAL
ejpam-3565	151	2	7	CARDINAL
ejpam-3565	151	3	aat ≡ 0	ORG
ejpam-3565	152	1	10	CARDINAL
ejpam-3565	154	1	11	CARDINAL
ejpam-3565	154	2	10	CARDINAL
ejpam-3565	157	1	8)	CARDINAL
ejpam-3565	157	2	10	CARDINAL
ejpam-3565	157	3	11	CARDINAL
ejpam-3565	162	1	2	CARDINAL
ejpam-3565	163	1	9)-(11	CARDINAL
ejpam-3565	164	1	⊆	CARDINAL
ejpam-3565	164	2	1	CARDINAL
ejpam-3565	164	3	k+2l	ORG
ejpam-3565	164	4	4	CARDINAL
ejpam-3565	164	5	first	ORDINAL
ejpam-3565	168	1	a′40 0	ORG
ejpam-3565	168	2	k.	PERSON
ejpam-3565	171	1	c1	PERSON
ejpam-3565	172	1	ik +	GPE
ejpam-3565	172	2	2	CARDINAL
ejpam-3565	173	1	40	CARDINAL
ejpam-3565	174	1	12	CARDINAL
ejpam-3565	175	1	3	CARDINAL
ejpam-3565	175	2	40	CARDINAL
ejpam-3565	176	1	13	CARDINAL
ejpam-3565	177	1	3	CARDINAL
ejpam-3565	179	1	14	CARDINAL
ejpam-3565	181	1	[ ik −a′2 −a′2	PERSON
ejpam-3565	184	1	k + l.	ORG
ejpam-3565	186	1	t. l. vasquez	PERSON
ejpam-3565	187	1	j. pure	PERSON
ejpam-3565	187	2	12	CARDINAL
ejpam-3565	187	3	4	CARDINAL
ejpam-3565	187	4	2019	CARDINAL
ejpam-3565	187	5	1701	CARDINAL
ejpam-3565	189	1	12	CARDINAL
ejpam-3565	189	2	13	CARDINAL
ejpam-3565	189	3	⊆	CARDINAL
ejpam-3565	189	4	⊆	CARDINAL
ejpam-3565	189	5	c⊥0	PERSON
ejpam-3565	190	1	k = k	PERSON
ejpam-3565	192	1	ik	CARDINAL
ejpam-3565	192	2	a′40 0	ORG
ejpam-3565	193	1	6)-(9	CARDINAL
ejpam-3565	196	1	15	CARDINAL
ejpam-3565	196	2	4	CARDINAL
ejpam-3565	197	1	16	CARDINAL
ejpam-3565	199	1	4	CARDINAL
ejpam-3565	200	1	17	CARDINAL
ejpam-3565	201	1	4	CARDINAL
ejpam-3565	203	1	18	CARDINAL
ejpam-3565	203	2	modulo p	ORG
ejpam-3565	203	3	modulo p3.	PRODUCT
ejpam-3565	205	1	+ pb41	PERSON
ejpam-3565	206	1	tpr	ORG
ejpam-3565	207	1	a2	ORG
ejpam-3565	207	2	a30, a40	ORG
ejpam-3565	207	3	a30 = a′30	ORG
ejpam-3565	207	4	a′40	GPE
ejpam-3565	208	1	12	CARDINAL
ejpam-3565	208	2	13	CARDINAL
ejpam-3565	209	1	3	CARDINAL
ejpam-3565	210	1	19	CARDINAL
ejpam-3565	210	2	ik +a2a	GPE
ejpam-3565	210	3	t 40	DATE
ejpam-3565	211	1	20	CARDINAL
ejpam-3565	211	2	10	CARDINAL
ejpam-3565	211	3	41	CARDINAL
ejpam-3565	211	4	40	DATE
ejpam-3565	213	1	mod p	ORG
ejpam-3565	213	2	21	CARDINAL
ejpam-3565	213	3	ct 4	ORG
ejpam-3565	213	4	40 a30	QUANTITY
ejpam-3565	213	5	mod p	ORG
ejpam-3565	213	6	22	CARDINAL
ejpam-3565	213	7	16	CARDINAL
ejpam-3565	213	8	18	CARDINAL
ejpam-3565	214	1	14	CARDINAL
ejpam-3565	214	2	17	CARDINAL
ejpam-3565	214	3	15	CARDINAL
ejpam-3565	215	1	fij + ã30at	ORG
ejpam-3565	215	2	t 31	DATE
ejpam-3565	217	1	23	CARDINAL
ejpam-3565	217	2	23	CARDINAL
ejpam-3565	218	1	t. l. vasquez	PERSON
ejpam-3565	219	1	j. pure	PERSON
ejpam-3565	219	2	12	CARDINAL
ejpam-3565	219	3	4	CARDINAL
ejpam-3565	219	4	2019	CARDINAL
ejpam-3565	219	5	1701	CARDINAL
ejpam-3565	221	1	section 2.1	LAW
ejpam-3565	221	2	10	CARDINAL
ejpam-3565	221	3	p rk(k−1	ORG
ejpam-3565	221	4	2	CARDINAL
ejpam-3565	221	5	p rk(k−1	ORG
ejpam-3565	221	6	2	CARDINAL
ejpam-3565	222	1	2	CARDINAL
ejpam-3565	223	1	2.2	CARDINAL
ejpam-3565	223	2	10	CARDINAL
ejpam-3565	224	1	2	CARDINAL
ejpam-3565	226	1	2	CARDINAL
ejpam-3565	226	2	0 ≤ k ≤ n 2	QUANTITY
ejpam-3565	228	1	tpr	ORG
ejpam-3565	230	1	24	CARDINAL
ejpam-3565	232	1	25	CARDINAL
ejpam-3565	233	1	t 31	DATE
ejpam-3565	234	1	t 41	DATE
ejpam-3565	235	1	26	CARDINAL
ejpam-3565	235	2	5	CARDINAL
ejpam-3565	235	3	1	CARDINAL
ejpam-3565	236	1	lemma 2	ORG
ejpam-3565	236	2	0 ≤ k ≤ n.	QUANTITY
ejpam-3565	237	1	1	CARDINAL
ejpam-3565	238	1	2	CARDINAL
ejpam-3565	241	1	1	CARDINAL
ejpam-3565	242	1	one	CARDINAL
ejpam-3565	243	1	2	CARDINAL
ejpam-3565	243	2	dimension k	PERSON
ejpam-3565	243	3	0 ≤ k ≤ m.	QUANTITY
ejpam-3565	243	4	2	CARDINAL
ejpam-3565	245	1	1	CARDINAL
ejpam-3565	245	2	1	CARDINAL
ejpam-3565	245	3	10	CARDINAL
ejpam-3565	246	1	2	CARDINAL
ejpam-3565	246	2	4	CARDINAL
ejpam-3565	246	3	3	CARDINAL
ejpam-3565	246	4	5	DATE
ejpam-3565	248	1	2	CARDINAL
ejpam-3565	248	2	−1	DATE
ejpam-3565	249	1	2	CARDINAL
ejpam-3565	250	1	t. l. vasquez	PERSON
ejpam-3565	251	1	j. pure	PERSON
ejpam-3565	251	2	12	CARDINAL
ejpam-3565	251	3	4	CARDINAL
ejpam-3565	251	4	2019	CARDINAL
ejpam-3565	251	5	1701-1716	CARDINAL
ejpam-3565	251	6	5.1	CARDINAL
ejpam-3565	252	1	section 4	LAW
ejpam-3565	252	2	2	CARDINAL
ejpam-3565	252	3	4	CARDINAL
ejpam-3565	253	1	4	CARDINAL
ejpam-3565	253	2	2	CARDINAL
ejpam-3565	253	3	one	CARDINAL
ejpam-3565	253	4	three	CARDINAL
ejpam-3565	253	5	0	CARDINAL
ejpam-3565	253	6	2	DATE
ejpam-3565	253	7	2	CARDINAL
ejpam-3565	253	8	1	CARDINAL
ejpam-3565	253	9	1	DATE
ejpam-3565	253	10	1	CARDINAL
ejpam-3565	253	11	2	CARDINAL
ejpam-3565	253	12	0	DATE
ejpam-3565	253	13	0	CARDINAL
ejpam-3565	254	1	4	CARDINAL
ejpam-3565	254	2	2	CARDINAL
ejpam-3565	254	3	aat ≡ −i2	ORG
ejpam-3565	254	4	mod p	ORG
ejpam-3565	255	1	2	CARDINAL
ejpam-3565	255	2	4	CARDINAL
ejpam-3565	255	3	{k, l, l	PERSON
ejpam-3565	255	4	0	CARDINAL
ejpam-3565	255	5	1	CARDINAL
ejpam-3565	255	6	2	CARDINAL
ejpam-3565	256	1	m̂	GPE
ejpam-3565	257	1	3	CARDINAL
ejpam-3565	258	1	c[4,0]p	PERSON
ejpam-3565	259	1	pi2	ORG
ejpam-3565	262	1	section 4	LAW
ejpam-3565	263	1	2	CARDINAL
ejpam-3565	264	1	fp2	PRODUCT
ejpam-3565	265	1	second	ORDINAL
ejpam-3565	265	2	two	CARDINAL
ejpam-3565	265	3	1,4	CARDINAL
ejpam-3565	265	4	1 a1 b1	QUANTITY
ejpam-3565	265	5	0 1 d1 e1	QUANTITY
ejpam-3565	267	1	1	CARDINAL
ejpam-3565	268	1	tpr	ORG
ejpam-3565	269	1	2	CARDINAL
ejpam-3565	270	1	4	CARDINAL
ejpam-3565	272	1	∈	ORG
ejpam-3565	273	1	mod p	ORG
ejpam-3565	274	1	1	CARDINAL
ejpam-3565	274	2	t. l. vasquez	PERSON
ejpam-3565	275	1	j. pure	PERSON
ejpam-3565	275	2	12	CARDINAL
ejpam-3565	275	3	4	CARDINAL
ejpam-3565	275	4	2019	CARDINAL
ejpam-3565	275	5	1701	CARDINAL
ejpam-3565	275	6	1	CARDINAL
ejpam-3565	276	1	1 p(a+ bd+ ce	MONEY
ejpam-3565	278	1	20	CARDINAL
ejpam-3565	278	2	1 + a2 +	QUANTITY
ejpam-3565	279	1	24	CARDINAL
ejpam-3565	280	1	0	CARDINAL
ejpam-3565	281	1	mod p	ORG
ejpam-3565	282	1	26	CARDINAL
ejpam-3565	282	2	hij	PERSON
ejpam-3565	283	1	25	CARDINAL
ejpam-3565	286	1	22	CARDINAL
ejpam-3565	290	1	19	CARDINAL
ejpam-3565	291	1	21	CARDINAL
ejpam-3565	294	1	1,1	CARDINAL
ejpam-3565	297	1	1	CARDINAL
ejpam-3565	297	2	0 1 u1 v1	QUANTITY
ejpam-3565	300	1	tp2	ORG
ejpam-3565	300	2	2	CARDINAL
ejpam-3565	302	1	0	CARDINAL
ejpam-3565	303	1	sv − tu	PERSON
ejpam-3565	304	1	5	CARDINAL
ejpam-3565	306	1	i2 â+ py + p2z	ORG
ejpam-3565	306	2	t. l. vasquez	PERSON
ejpam-3565	307	1	j. pure	PERSON
ejpam-3565	307	2	12	CARDINAL
ejpam-3565	307	3	4	CARDINAL
ejpam-3565	307	4	2019	CARDINAL
ejpam-3565	307	5	1701	CARDINAL
ejpam-3565	307	6	tp2	PRODUCT
ejpam-3565	307	7	tp2	PRODUCT
ejpam-3565	309	1	1	CARDINAL
ejpam-3565	310	1	1	CARDINAL
ejpam-3565	313	1	20	CARDINAL
ejpam-3565	313	2	+ âât	PERSON
ejpam-3565	315	1	tp2	ORG
ejpam-3565	315	2	24	CARDINAL
ejpam-3565	319	1	y12 y21	GPE
ejpam-3565	324	1	0	CARDINAL
ejpam-3565	325	1	y12	CARDINAL
ejpam-3565	326	1	â	GPE
ejpam-3565	328	1	26	CARDINAL
ejpam-3565	328	2	hij	PERSON
ejpam-3565	329	1	tp2	ORG
ejpam-3565	329	2	25	CARDINAL
ejpam-3565	335	1	â	GPE
ejpam-3565	336	1	5.2	CARDINAL
ejpam-3565	337	1	2	CARDINAL
ejpam-3565	337	2	2	CARDINAL
ejpam-3565	337	3	+ 5ω+ 26	CARDINAL
ejpam-3565	337	4	0	CARDINAL
ejpam-3565	337	5	1	CARDINAL
ejpam-3565	337	6	f9	ORG
ejpam-3565	337	7	0	CARDINAL
ejpam-3565	337	8	1	CARDINAL
ejpam-3565	337	9	t. l. vasquez	PERSON
ejpam-3565	338	1	j. pure	PERSON
ejpam-3565	338	2	12	CARDINAL
ejpam-3565	338	3	4	CARDINAL
ejpam-3565	338	4	2019	CARDINAL
ejpam-3565	338	5	1701	CARDINAL
ejpam-3565	338	6	4	CARDINAL
ejpam-3565	338	7	two	CARDINAL
ejpam-3565	338	8	4	CARDINAL
ejpam-3565	338	9	f9	ORG
ejpam-3565	339	1	1 0	CARDINAL
ejpam-3565	339	2	0	CARDINAL
ejpam-3565	339	3	1	CARDINAL
ejpam-3565	339	4	1	CARDINAL
ejpam-3565	340	1	1	CARDINAL
ejpam-3565	340	2	0 1	CARDINAL
ejpam-3565	341	1	1 1	CARDINAL
ejpam-3565	341	2	0 1 0 ω̄2	CARDINAL
ejpam-3565	342	1	1 ω̄	CARDINAL
ejpam-3565	342	2	0 1 0	CARDINAL
ejpam-3565	343	1	1 ω̄	CARDINAL
ejpam-3565	343	2	1	CARDINAL
ejpam-3565	343	3	1	CARDINAL
ejpam-3565	343	4	4	CARDINAL
ejpam-3565	343	5	2	CARDINAL
ejpam-3565	345	1	0	CARDINAL
ejpam-3565	345	2	2	DATE
ejpam-3565	345	3	2	CARDINAL
ejpam-3565	345	4	1 32 m3(â3,2	QUANTITY
ejpam-3565	345	5	1 48	CARDINAL
ejpam-3565	345	6	1	CARDINAL
ejpam-3565	345	7	1	DATE
ejpam-3565	345	8	1	CARDINAL
ejpam-3565	345	9	0	CARDINAL
ejpam-3565	345	10	1 16	QUANTITY
ejpam-3565	345	11	0	DATE
ejpam-3565	345	12	0	CARDINAL
ejpam-3565	345	13	3	CARDINAL
ejpam-3565	345	14	1	CARDINAL
ejpam-3565	345	15	ω	CARDINAL
ejpam-3565	345	16	11 4	TIME
ejpam-3565	345	17	1	CARDINAL
ejpam-3565	345	18	ω	GPE
ejpam-3565	345	19	0	DATE
ejpam-3565	346	1	1	CARDINAL
ejpam-3565	346	2	1	CARDINAL
ejpam-3565	346	3	ω	CARDINAL
ejpam-3565	346	4	3 2	CARDINAL
ejpam-3565	346	5	ω	GPE
ejpam-3565	346	6	2	CARDINAL
ejpam-3565	346	7	0	DATE
ejpam-3565	346	8	0	DATE
ejpam-3565	346	9	0	CARDINAL
ejpam-3565	346	10	1 32 m3(â3,2	QUANTITY
ejpam-3565	346	11	0	DATE
ejpam-3565	346	12	0	CARDINAL
ejpam-3565	346	13	1 16 m3(â3,1	QUANTITY
ejpam-3565	346	14	0	DATE
ejpam-3565	346	15	1	CARDINAL
ejpam-3565	346	16	33 8 m3(â3,1	QUANTITY
ejpam-3565	346	17	1	CARDINAL
ejpam-3565	346	18	0	CARDINAL
ejpam-3565	346	19	1	DATE
ejpam-3565	346	20	ω	GPE
ejpam-3565	346	21	ω	ORG
ejpam-3565	346	22	0	CARDINAL
ejpam-3565	346	23	1	DATE
ejpam-3565	346	24	ω	GPE
ejpam-3565	347	1	0	DATE
ejpam-3565	348	1	1	CARDINAL
ejpam-3565	348	2	ω	GPE
ejpam-3565	348	3	0	CARDINAL
ejpam-3565	348	4	1	DATE
ejpam-3565	348	5	ω	GPE
ejpam-3565	348	6	1	CARDINAL
ejpam-3565	348	7	2	CARDINAL
ejpam-3565	348	8	4	CARDINAL
ejpam-3565	348	9	1	CARDINAL
ejpam-3565	348	10	1	CARDINAL
ejpam-3565	350	1	2	CARDINAL
ejpam-3565	350	2	2 k	QUANTITY
ejpam-3565	350	3	9 32k	CARDINAL
ejpam-3565	350	4	20 + 1800 + 1620	DATE
ejpam-3565	350	5	24	CARDINAL
ejpam-3565	350	6	4	CARDINAL
ejpam-3565	351	1	t. l. vasquez	PERSON
ejpam-3565	352	1	j. pure	PERSON
ejpam-3565	352	2	12	CARDINAL
ejpam-3565	352	3	4	CARDINAL
ejpam-3565	352	4	2019	CARDINAL
ejpam-3565	352	5	1701	CARDINAL
ejpam-3565	352	6	55	CARDINAL
ejpam-3565	352	7	4	CARDINAL
ejpam-3565	352	8	2	CARDINAL
ejpam-3565	353	1	5.3	CARDINAL
ejpam-3565	353	2	2	CARDINAL
ejpam-3565	353	3	2	CARDINAL
ejpam-3565	354	1	+ 89ω + 57	CARDINAL
ejpam-3565	354	2	0	CARDINAL
ejpam-3565	354	3	1	CARDINAL
ejpam-3565	354	4	f25 = z5[ω̄	PERSON
ejpam-3565	354	5	0	CARDINAL
ejpam-3565	354	6	ω̄24	ORG
ejpam-3565	354	7	1	CARDINAL
ejpam-3565	354	8	4	CARDINAL
ejpam-3565	354	9	three	CARDINAL
ejpam-3565	354	10	4	CARDINAL
ejpam-3565	354	11	1	CARDINAL
ejpam-3565	354	12	3	CARDINAL
ejpam-3565	354	13	a5,2	ORG
ejpam-3565	354	14	a5,3	ORG
ejpam-3565	355	1	1 ω̄21 ω̄9 1	QUANTITY
ejpam-3565	356	1	1	CARDINAL
ejpam-3565	357	1	1	CARDINAL
ejpam-3565	357	2	0	CARDINAL
ejpam-3565	358	1	1 1 ω̄6 ω̄6	CARDINAL
ejpam-3565	358	2	1	CARDINAL
ejpam-3565	359	1	1 ω̄ ω̄6	CARDINAL
ejpam-3565	359	2	1	CARDINAL
ejpam-3565	359	3	1	CARDINAL
ejpam-3565	359	4	0 1	CARDINAL
ejpam-3565	359	5	1	CARDINAL
ejpam-3565	359	6	0	CARDINAL
ejpam-3565	359	7	1	CARDINAL
ejpam-3565	359	8	2	CARDINAL
ejpam-3565	361	1	1 1 ω̄12	CARDINAL
ejpam-3565	361	2	0 1 ω̄16	QUANTITY
ejpam-3565	362	1	1 ω̄	TIME
ejpam-3565	362	2	0 1 ω̄16	QUANTITY
ejpam-3565	362	3	1	CARDINAL
ejpam-3565	362	4	0 1 ω̄16	QUANTITY
ejpam-3565	362	5	3	CARDINAL
ejpam-3565	363	1	1 1 ω̄11	CARDINAL
ejpam-3565	363	2	0 1 ω̄9 1	MONEY
ejpam-3565	363	3	1	CARDINAL
ejpam-3565	363	4	0 1 ω̄9 1	MONEY
ejpam-3565	363	5	1 ω̄6	CARDINAL
ejpam-3565	363	6	0 1 ω̄9 1	MONEY
ejpam-3565	363	7	1	CARDINAL
ejpam-3565	363	8	0 1 ω̄9 1	MONEY
ejpam-3565	364	1	j2	ORG
ejpam-3565	364	2	0	CARDINAL
ejpam-3565	364	3	1	DATE
ejpam-3565	364	4	ω	GPE
ejpam-3565	364	5	0	CARDINAL
ejpam-3565	364	6	1	DATE
ejpam-3565	364	7	ω	GPE
ejpam-3565	364	8	ω15	LOC
ejpam-3565	365	1	2	CARDINAL
ejpam-3565	365	2	2	CARDINAL
ejpam-3565	365	3	4	CARDINAL
ejpam-3565	365	4	1	CARDINAL
ejpam-3565	365	5	2	CARDINAL
ejpam-3565	366	1	= σ25(4	PERSON
ejpam-3565	366	2	2	CARDINAL
ejpam-3565	367	1	2 k	QUANTITY
ejpam-3565	367	2	25 52k	CARDINAL
ejpam-3565	367	3	52 + 33800 + 32500	DATE
ejpam-3565	367	4	24	CARDINAL
ejpam-3565	367	5	4	CARDINAL
ejpam-3565	368	1	904	CARDINAL
ejpam-3565	368	2	4	CARDINAL
ejpam-3565	368	3	2	CARDINAL
ejpam-3565	369	1	t. l. vasquez	PERSON
ejpam-3565	370	1	j. pure	PERSON
ejpam-3565	370	2	12	CARDINAL
ejpam-3565	370	3	4	CARDINAL
ejpam-3565	370	4	2019	CARDINAL
ejpam-3565	370	5	1701	CARDINAL
ejpam-3565	370	6	1716 1714	CARDINAL
ejpam-3565	370	7	2	CARDINAL
ejpam-3565	370	8	4	CARDINAL
ejpam-3565	370	9	2	CARDINAL
ejpam-3565	372	1	0,2,2	CARDINAL
ejpam-3565	372	2	1 32 m5(â5,2	QUANTITY
ejpam-3565	372	3	1 24	DATE
ejpam-3565	372	4	1 16	CARDINAL
ejpam-3565	372	5	1,1,1	CARDINAL
ejpam-3565	372	6	0	CARDINAL
ejpam-3565	372	7	1 16	CARDINAL
ejpam-3565	372	8	0	DATE
ejpam-3565	372	9	0	CARDINAL
ejpam-3565	372	10	m5(ĝ5,3,ω̄15	PRODUCT
ejpam-3565	372	11	0	CARDINAL
ejpam-3565	372	12	3	CARDINAL
ejpam-3565	372	13	0	DATE
ejpam-3565	372	14	m5(ĝ5,2,1	PERSON
ejpam-3565	372	15	0	DATE
ejpam-3565	372	16	2 6 m5(ĝ5,1,ω̄	DATE
ejpam-3565	372	17	0	CARDINAL
ejpam-3565	372	18	0),m5(ĝ5,3,0	CARDINAL
ejpam-3565	372	19	0	CARDINAL
ejpam-3565	372	20	83	CARDINAL
ejpam-3565	372	21	1	CARDINAL
ejpam-3565	372	22	ω	GPE
ejpam-3565	373	1	m5(ĝ5,1,1	NORP
ejpam-3565	373	2	1	CARDINAL
ejpam-3565	373	3	ω	GPE
ejpam-3565	375	1	0	CARDINAL
ejpam-3565	375	2	1	DATE
ejpam-3565	375	3	ω	GPE
ejpam-3565	376	1	0	CARDINAL
ejpam-3565	376	2	1	DATE
ejpam-3565	376	3	ω	GPE
ejpam-3565	377	1	m5(ĝ5,3,ω̄15	LANGUAGE
ejpam-3565	377	2	1	CARDINAL
ejpam-3565	377	3	ω	GPE
ejpam-3565	378	1	1	CARDINAL
ejpam-3565	378	2	ω	GPE
ejpam-3565	379	1	133 2	CARDINAL
ejpam-3565	379	2	1	CARDINAL
ejpam-3565	379	3	ω	GPE
ejpam-3565	380	1	1	CARDINAL
ejpam-3565	380	2	ω	GPE
ejpam-3565	381	1	1	CARDINAL
ejpam-3565	381	2	ω	GPE
ejpam-3565	383	1	1	CARDINAL
ejpam-3565	383	2	ω	GPE
ejpam-3565	383	3	0	CARDINAL
ejpam-3565	383	4	1	DATE
ejpam-3565	383	5	ω	GPE
ejpam-3565	385	1	m5(ĝ5,3,0	ORG
ejpam-3565	385	2	1	CARDINAL
ejpam-3565	385	3	ω	GPE
ejpam-3565	386	1	0	CARDINAL
ejpam-3565	386	2	1	DATE
ejpam-3565	386	3	ω	GPE
ejpam-3565	387	1	m5(ĝ5,3,ω̄2	PERSON
ejpam-3565	387	2	0	CARDINAL
ejpam-3565	387	3	1	DATE
ejpam-3565	387	4	ω	GPE
ejpam-3565	389	1	2,0,0	CARDINAL
ejpam-3565	389	2	0	DATE
ejpam-3565	389	3	0	CARDINAL
ejpam-3565	389	4	1 32	CARDINAL
ejpam-3565	389	5	0	DATE
ejpam-3565	389	6	0	CARDINAL
ejpam-3565	389	7	1 24	DATE
ejpam-3565	389	8	ω 21	DATE
ejpam-3565	389	9	1 16	CARDINAL
ejpam-3565	389	10	0	DATE
ejpam-3565	389	11	1	CARDINAL
ejpam-3565	389	12	ω	GPE
ejpam-3565	390	1	676 8	DATE
ejpam-3565	390	2	1	CARDINAL
ejpam-3565	390	3	ω	GPE
ejpam-3565	391	1	∈	ORG
ejpam-3565	391	2	m5(â5,2	GPE
ejpam-3565	391	3	0	DATE
ejpam-3565	391	4	1	CARDINAL
ejpam-3565	391	5	ω	GPE
ejpam-3565	392	1	m5(â5,2	GPE
ejpam-3565	392	2	1	CARDINAL
ejpam-3565	392	3	ω	GPE
ejpam-3565	393	1	∈	ORG
ejpam-3565	393	2	∈	ORG
ejpam-3565	393	3	∈	ORG
ejpam-3565	393	4	ω 21	DATE
ejpam-3565	393	5	∈	ORG
ejpam-3565	393	6	6	CARDINAL
ejpam-3565	395	1	4	CARDINAL
ejpam-3565	395	2	2	CARDINAL
ejpam-3565	395	3	3	CARDINAL
ejpam-3565	395	4	5	DATE
ejpam-3565	397	1	2	CARDINAL
ejpam-3565	397	2	1715	CARDINAL
ejpam-3565	397	3	24	CARDINAL
ejpam-3565	398	1	0	CARDINAL
ejpam-3565	400	1	x̃	ORG
ejpam-3565	400	2	fii	PERSON
ejpam-3565	401	1	20	CARDINAL
ejpam-3565	401	2	ik + a2a	ORG
ejpam-3565	401	3	t 40	DATE
ejpam-3565	402	1	2	CARDINAL
ejpam-3565	404	1	the department of science and technology	ORG
ejpam-3565	405	1	1	CARDINAL
ejpam-3565	405	2	ra betty	PERSON
ejpam-3565	406	1	zp2	DATE
ejpam-3565	407	1	308:2984–3002, 2008	DATE
ejpam-3565	408	1	2	CARDINAL
ejpam-3565	408	2	j cannon	PERSON
ejpam-3565	410	1	i.	PERSON
ejpam-3565	411	1	j. symbolic	PERSON
ejpam-3565	411	2	24(3	CARDINAL
ejpam-3565	412	1	london	GPE
ejpam-3565	412	2	1993	DATE
ejpam-3565	413	1	3	CARDINAL
ejpam-3565	414	1	2	CARDINAL
ejpam-3565	415	1	korean	NORP
ejpam-3565	415	2	j. math.	PERSON
ejpam-3565	415	3	24	CARDINAL
ejpam-3565	415	4	4):751–764	CARDINAL
ejpam-3565	415	5	2016	DATE
ejpam-3565	416	1	4	CARDINAL
ejpam-3565	417	1	4	CARDINAL
ejpam-3565	417	2	korean	NORP
ejpam-3565	417	3	55:1371–1387	CARDINAL
ejpam-3565	417	4	2018	DATE
ejpam-3565	418	1	5	CARDINAL
ejpam-3565	422	1	42:1222–1228, 1996	DATE
ejpam-3565	423	1	6	CARDINAL
ejpam-3565	423	2	kumar	PERSON
ejpam-3565	423	3	nja sloane	ORG
ejpam-3565	423	4	z4	GPE
ejpam-3565	423	5	kerdock	GPE
ejpam-3565	426	1	40	CARDINAL
ejpam-3565	426	2	2):301–319, 1994	DATE
ejpam-3565	427	1	7	CARDINAL
ejpam-3565	427	2	wc huffman	PERSON
ejpam-3565	429	1	cambridge university press	ORG
ejpam-3565	429	2	united kingdom	GPE
ejpam-3565	429	3	2004	DATE
ejpam-3565	430	1	8	CARDINAL
ejpam-3565	432	1	marcel dekker	PERSON
ejpam-3565	432	2	inc.	ORG
ejpam-3565	432	3	new york	GPE
ejpam-3565	432	4	1974	DATE
ejpam-3565	433	1	9	CARDINAL
ejpam-3565	435	1	11th	ORDINAL
ejpam-3565	435	2	215–220, 2008	DATE
ejpam-3565	436	1	1716	CARDINAL
ejpam-3565	436	2	10	CARDINAL
ejpam-3565	437	1	zp3	PRODUCT
ejpam-3565	438	1	50:291–303	CARDINAL
ejpam-3565	438	2	2009	DATE
ejpam-3565	439	1	11	CARDINAL
ejpam-3565	442	1	67:293–316, 2013	DATE
ejpam-3565	443	1	12	CARDINAL
ejpam-3565	444	1	linear	ORG
ejpam-3565	445	1	aaecc	PERSON
ejpam-3565	445	2	10(3):489–506	DATE
ejpam-3565	445	3	2000	DATE
ejpam-3565	446	1	13	CARDINAL
ejpam-3565	448	1	17:442–460, 2011	DATE
ejpam-3565	449	1	14	CARDINAL
ejpam-3565	451	1	accad	PERSON
ejpam-3565	452	1	naz	PERSON
ejpam-3565	453	1	lincei rendic	PERSON
ejpam-3565	453	2	39:418–421	CARDINAL
ejpam-3565	453	3	1965	DATE
ejpam-3565	454	1	15	CARDINAL
ejpam-3565	454	2	jh van	PERSON
ejpam-3565	454	3	rm wilson	PERSON
ejpam-3565	456	1	cambridge university press	ORG
ejpam-3565	456	2	united kingdom	GPE
ejpam-3565	456	3	1993	DATE
ejpam-3565	457	1	16	CARDINAL
ejpam-3565	458	1	pte. ltd.	ORG
ejpam-3565	458	2	hackensack	GPE
ejpam-3565	458	3	nj	GPE
ejpam-3565	458	4	2012	DATE
