id	sid	eid	entity	type
ejpam-4416	1	1	european journal	ORG
ejpam-4416	2	1	15	CARDINAL
ejpam-4416	2	2	3	CARDINAL
ejpam-4416	2	3	2022	CARDINAL
ejpam-4416	2	4	1098-1112	DATE
ejpam-4416	2	5	1307-5543	DATE
ejpam-4416	2	6	new york	GPE
ejpam-4416	2	7	clarence t. alib1,∗	PERSON
ejpam-4416	3	1	daryl m. magpantay2	PERSON
ejpam-4416	3	2	1	CARDINAL
ejpam-4416	3	3	camarines sur polytechnic colleges	ORG
ejpam-4416	3	4	camarines sur	ORG
ejpam-4416	3	5	philippines 2 college of arts	ORG
ejpam-4416	3	6	batangas state university	ORG
ejpam-4416	3	7	batangas city	GPE
ejpam-4416	3	8	philippines	GPE
ejpam-4416	5	1	one	CARDINAL
ejpam-4416	5	2	6	CARDINAL
ejpam-4416	9	1	2020	DATE
ejpam-4416	9	2	05c07, 05c12	CARDINAL
ejpam-4416	9	3	05c25	CARDINAL
ejpam-4416	9	4	1	CARDINAL
ejpam-4416	11	1	one	CARDINAL
ejpam-4416	12	1	two	CARDINAL
ejpam-4416	13	1	8	CARDINAL
ejpam-4416	13	2	1	CARDINAL
ejpam-4416	13	3	2	CARDINAL
ejpam-4416	14	1	2009	DATE
ejpam-4416	14	2	6	CARDINAL
ejpam-4416	16	1	clarencealib@cspc.edu.ph	PERSON
ejpam-4416	16	2	darylmagpantay@g.batstate-u.edu.ph	GPE
ejpam-4416	16	3	d. magpantay	PERSON
ejpam-4416	16	4	1098	DATE
ejpam-4416	17	1	2022	CARDINAL
ejpam-4416	18	1	c. alib	PERSON
ejpam-4416	18	2	d. magpantay	PERSON
ejpam-4416	19	1	j. pure	PERSON
ejpam-4416	19	2	15	CARDINAL
ejpam-4416	19	3	3	CARDINAL
ejpam-4416	19	4	2022	CARDINAL
ejpam-4416	19	5	1098-1112	DATE
ejpam-4416	22	1	2	CARDINAL
ejpam-4416	23	1	2.1	CARDINAL
ejpam-4416	24	1	7→	CARDINAL
ejpam-4416	25	1	∈	ORG
ejpam-4416	25	2	∈	ORG
ejpam-4416	25	3	a′	ORG
ejpam-4416	25	4	∈	PRODUCT
ejpam-4416	25	5	a′	ORG
ejpam-4416	25	6	7→	CARDINAL
ejpam-4416	25	7	two	CARDINAL
ejpam-4416	28	1	1	CARDINAL
ejpam-4416	28	2	0	CARDINAL
ejpam-4416	28	3	first	ORDINAL
ejpam-4416	28	4	second	ORDINAL
ejpam-4416	31	1	1	CARDINAL
ejpam-4416	32	1	1,−1	CARDINAL
ejpam-4416	33	1	g	PERSON
ejpam-4416	33	2	1	CARDINAL
ejpam-4416	33	3	1	CARDINAL
ejpam-4416	33	4	1×−1	CARDINAL
ejpam-4416	33	5	1	CARDINAL
ejpam-4416	35	1	1 ∈	CARDINAL
ejpam-4416	35	2	1	CARDINAL
ejpam-4416	36	1	2.2	CARDINAL
ejpam-4416	37	1	∈	ORG
ejpam-4416	39	1	n. c. alib	PERSON
ejpam-4416	39	2	d. magpantay	PERSON
ejpam-4416	40	1	j. pure	PERSON
ejpam-4416	40	2	15	CARDINAL
ejpam-4416	40	3	3	CARDINAL
ejpam-4416	40	4	2022	CARDINAL
ejpam-4416	40	5	1098-1112	DATE
ejpam-4416	40	6	1100	CARDINAL
ejpam-4416	40	7	2	CARDINAL
ejpam-4416	40	8	0	CARDINAL
ejpam-4416	40	9	1	DATE
ejpam-4416	40	10	2	DATE
ejpam-4416	40	11	3	DATE
ejpam-4416	40	12	4	DATE
ejpam-4416	40	13	5	CARDINAL
ejpam-4416	40	14	6	CARDINAL
ejpam-4416	40	15	1	CARDINAL
ejpam-4416	41	1	1	CARDINAL
ejpam-4416	41	2	5	CARDINAL
ejpam-4416	41	3	5	CARDINAL
ejpam-4416	41	4	2	CARDINAL
ejpam-4416	41	5	5	CARDINAL
ejpam-4416	41	6	4	CARDINAL
ejpam-4416	41	7	3	CARDINAL
ejpam-4416	41	8	5	CARDINAL
ejpam-4416	41	9	3	CARDINAL
ejpam-4416	41	10	4	CARDINAL
ejpam-4416	41	11	5	CARDINAL
ejpam-4416	41	12	2	CARDINAL
ejpam-4416	41	13	5	CARDINAL
ejpam-4416	41	14	5	CARDINAL
ejpam-4416	41	15	1	CARDINAL
ejpam-4416	41	16	6	CARDINAL
ejpam-4416	41	17	5	CARDINAL
ejpam-4416	41	18	0	CARDINAL
ejpam-4416	41	19	1	DATE
ejpam-4416	41	20	2	DATE
ejpam-4416	41	21	3	DATE
ejpam-4416	41	22	4	DATE
ejpam-4416	41	23	5	CARDINAL
ejpam-4416	41	24	2.3	CARDINAL
ejpam-4416	42	1	6	CARDINAL
ejpam-4416	42	2	two	CARDINAL
ejpam-4416	43	1	2.4	CARDINAL
ejpam-4416	44	1	9	CARDINAL
ejpam-4416	46	1	2.5	CARDINAL
ejpam-4416	47	1	9	CARDINAL
ejpam-4416	47	2	three	CARDINAL
ejpam-4416	85	1	.................................... ..............................	PERSON
ejpam-4416	99	1	γc9	PERSON
ejpam-4416	100	1	g3	ORG
ejpam-4416	100	2	g6	ORG
ejpam-4416	125	1	g8	ORG
ejpam-4416	125	2	g7	ORG
ejpam-4416	125	3	g6	ORG
ejpam-4416	125	4	1	CARDINAL
ejpam-4416	126	1	9	CARDINAL
ejpam-4416	128	1	1	CARDINAL
ejpam-4416	128	2	1	CARDINAL
ejpam-4416	129	1	4	CARDINAL
ejpam-4416	130	1	c. alib	PERSON
ejpam-4416	130	2	d. magpantay	PERSON
ejpam-4416	131	1	j. pure	PERSON
ejpam-4416	131	2	15	CARDINAL
ejpam-4416	131	3	3	CARDINAL
ejpam-4416	131	4	2022	CARDINAL
ejpam-4416	131	5	1098-1112	DATE
ejpam-4416	159	1	γc8	PERSON
ejpam-4416	169	1	.................................... ..............................	PERSON
ejpam-4416	183	1	g9	GPE
ejpam-4416	183	2	g7 g4g6	PERSON
ejpam-4416	200	1	g9	GPE
ejpam-4416	200	2	g8	ORG
ejpam-4416	200	3	g7 g6	PERSON
ejpam-4416	200	4	1	CARDINAL
ejpam-4416	200	5	c5	GPE
ejpam-4416	200	6	c6 c7	PERSON
ejpam-4416	200	7	c8 c9	ORG
ejpam-4416	200	8	c10	ORG
ejpam-4416	201	1	1	CARDINAL
ejpam-4416	202	1	6	CARDINAL
ejpam-4416	202	2	n (n	ORG
ejpam-4416	202	3	2	CARDINAL
ejpam-4416	203	1	2	CARDINAL
ejpam-4416	204	1	6	CARDINAL
ejpam-4416	205	1	3	CARDINAL
ejpam-4416	206	1	9	CARDINAL
ejpam-4416	206	2	line(cn	ORG
ejpam-4416	206	3	0	CARDINAL
ejpam-4416	206	4	2k	CARDINAL
ejpam-4416	206	5	2k + 2	CARDINAL
ejpam-4416	207	1	2	CARDINAL
ejpam-4416	207	2	2k + 1 n−2 2	QUANTITY
ejpam-4416	207	3	2k + 2	DATE
ejpam-4416	207	4	4	CARDINAL
ejpam-4416	208	1	3	CARDINAL
ejpam-4416	208	2	5	CARDINAL
ejpam-4416	210	1	3n−3 2	CARDINAL
ejpam-4416	211	1	2	CARDINAL
ejpam-4416	212	1	2|e|	CARDINAL
ejpam-4416	213	1	c. alib	PERSON
ejpam-4416	213	2	d. magpantay	PERSON
ejpam-4416	214	1	j. pure	PERSON
ejpam-4416	214	2	15	CARDINAL
ejpam-4416	214	3	3	CARDINAL
ejpam-4416	214	4	2022	CARDINAL
ejpam-4416	214	5	1098-1112	DATE
ejpam-4416	214	6	d(u	PERSON
ejpam-4416	214	7	∈	ORG
ejpam-4416	214	8	∈	ORG
ejpam-4416	214	9	e(u	PERSON
ejpam-4416	216	1	∈	ORG
ejpam-4416	217	1	diam = max{e(u	PERSON
ejpam-4416	218	1	∈	ORG
ejpam-4416	220	1	∈	ORG
ejpam-4416	221	1	e(u	PERSON
ejpam-4416	225	1	3	CARDINAL
ejpam-4416	226	1	2	CARDINAL
ejpam-4416	227	1	2.3	CARDINAL
ejpam-4416	229	1	3.1	CARDINAL
ejpam-4416	230	1	10	CARDINAL
ejpam-4416	230	2	2	CARDINAL
ejpam-4416	231	1	c(γcn	GPE
ejpam-4416	233	1	integer n ≥ 2	ORG
ejpam-4416	236	1	⋃	DATE
ejpam-4416	236	2	vi	PERSON
ejpam-4416	237	1	vi	PERSON
ejpam-4416	237	2	⋃	DATE
ejpam-4416	237	3	vi	PERSON
ejpam-4416	237	4	vi	PERSON
ejpam-4416	238	1	two	CARDINAL
ejpam-4416	238	2	•	CARDINAL
ejpam-4416	238	3	•	CARDINAL
ejpam-4416	239	1	3.2	CARDINAL
ejpam-4416	241	1	1 ≤	QUANTITY
ejpam-4416	242	1	1} ⋃	TIME
ejpam-4416	242	2	1 ≤	QUANTITY
ejpam-4416	242	3	1 2	DATE
ejpam-4416	243	1	1 ≤	QUANTITY
ejpam-4416	243	2	1 ≤	QUANTITY
ejpam-4416	243	3	1 2 } ⋃	TIME
ejpam-4416	243	4	vi	PERSON
ejpam-4416	243	5	1 ≤	QUANTITY
ejpam-4416	243	6	3	CARDINAL
ejpam-4416	243	7	1 ≤	QUANTITY
ejpam-4416	243	8	3 2	CARDINAL
ejpam-4416	244	1	c. alib	PERSON
ejpam-4416	244	2	d. magpantay	PERSON
ejpam-4416	245	1	j. pure	PERSON
ejpam-4416	245	2	15	CARDINAL
ejpam-4416	245	3	3	CARDINAL
ejpam-4416	245	4	2022	CARDINAL
ejpam-4416	245	5	1098-1112 1103	DATE
ejpam-4416	318	1	2	CARDINAL
ejpam-4416	341	1	c01 c02 c03 c04c0(n−4	ORG
ejpam-4416	478	1	.................................................................................................................................................................................................................................................................................................	PERSON
ejpam-4416	479	1	3	CARDINAL
ejpam-4416	480	1	c(γcn	GPE
ejpam-4416	481	1	1	CARDINAL
ejpam-4416	481	2	1	CARDINAL
ejpam-4416	481	3	1 ≤	QUANTITY
ejpam-4416	481	4	1	CARDINAL
ejpam-4416	481	5	2	CARDINAL
ejpam-4416	481	6	1 ≤	QUANTITY
ejpam-4416	482	1	1 deg(c(2i−1)(2i	QUANTITY
ejpam-4416	483	1	2	CARDINAL
ejpam-4416	483	2	1 ≤	QUANTITY
ejpam-4416	483	3	1 2	DATE
ejpam-4416	484	1	c(γcn	GPE
ejpam-4416	486	1	1	CARDINAL
ejpam-4416	486	2	1)(n− 1	DATE
ejpam-4416	487	1	1 2	CARDINAL
ejpam-4416	487	2	2n+	CARDINAL
ejpam-4416	487	3	1 c. alib	QUANTITY
ejpam-4416	487	4	d. magpantay	PERSON
ejpam-4416	488	1	j. pure	PERSON
ejpam-4416	488	2	15	CARDINAL
ejpam-4416	488	3	3	CARDINAL
ejpam-4416	488	4	2022	CARDINAL
ejpam-4416	488	5	1098-1112 1104	DATE
ejpam-4416	489	1	4 + n2	QUANTITY
ejpam-4416	490	1	3	CARDINAL
ejpam-4416	490	2	handsaking lemma	PERSON
ejpam-4416	490	3	1 2	CARDINAL
ejpam-4416	493	1	3 2	DATE
ejpam-4416	493	2	c(γcn	GPE
ejpam-4416	496	1	c(γcn))|	CARDINAL
ejpam-4416	496	2	5n−3 2	DATE
ejpam-4416	496	3	|e(c(γcn))|	LOC
ejpam-4416	498	1	n (n	ORG
ejpam-4416	498	2	4	CARDINAL
ejpam-4416	498	3	3n−3 2	CARDINAL
ejpam-4416	499	1	c(γcn))|	CARDINAL
ejpam-4416	499	2	3n−	CARDINAL
ejpam-4416	500	1	2n+	CARDINAL
ejpam-4416	500	2	3n−	CARDINAL
ejpam-4416	500	3	5n−	CARDINAL
ejpam-4416	500	4	|e(c(γcn))|	LOC
ejpam-4416	500	5	1	CARDINAL
ejpam-4416	502	1	3n−	CARDINAL
ejpam-4416	502	2	3 2	CARDINAL
ejpam-4416	503	1	1	CARDINAL
ejpam-4416	504	1	c9	ORG
ejpam-4416	504	2	4	CARDINAL
ejpam-4416	505	1	γc9 :	PERSON
ejpam-4416	538	1	c(γc9	PERSON
ejpam-4416	540	1	c34c56	ORG
ejpam-4416	619	1	c01 c02 c03c04c05	PERSON
ejpam-4416	619	2	4	CARDINAL
ejpam-4416	619	3	γc9	DATE
ejpam-4416	620	1	c. alib	PERSON
ejpam-4416	620	2	d. magpantay	PERSON
ejpam-4416	621	1	j. pure	PERSON
ejpam-4416	621	2	15	CARDINAL
ejpam-4416	621	3	3	CARDINAL
ejpam-4416	621	4	2022	CARDINAL
ejpam-4416	621	5	1098-1112 1105	DATE
ejpam-4416	621	6	3.3	CARDINAL
ejpam-4416	623	1	1 ≤	QUANTITY
ejpam-4416	624	1	1} ⋃	TIME
ejpam-4416	624	2	1 ≤	QUANTITY
ejpam-4416	624	3	2 2 } e(c(γcn	DATE
ejpam-4416	625	1	1 ≤	QUANTITY
ejpam-4416	625	2	1 ≤	QUANTITY
ejpam-4416	625	3	2 2 } ⋃	TIME
ejpam-4416	625	4	vi	PERSON
ejpam-4416	625	5	1 ≤	QUANTITY
ejpam-4416	625	6	3	CARDINAL
ejpam-4416	625	7	1 ≤	QUANTITY
ejpam-4416	625	8	2 2	DATE
ejpam-4416	689	1	..........	PERSON
ejpam-4416	703	1	v0 vn−1 vn−2 vn−3	ORG
ejpam-4416	703	2	v3 v2 v1 .................... ....................	FAC
ejpam-4416	705	1	5	CARDINAL
ejpam-4416	719	1	c01	PERSON
ejpam-4416	719	2	c12 c34 c56 c(n−3)(n−2	PERSON
ejpam-4416	847	1	v0 vn−1 vn−2 vn−3	ORG
ejpam-4416	847	2	v3 v2 v1 .................... ....................	FAC
ejpam-4416	848	1	6	CARDINAL
ejpam-4416	848	2	c. alib	PERSON
ejpam-4416	848	3	d. magpantay	PERSON
ejpam-4416	849	1	j. pure	PERSON
ejpam-4416	849	2	15	CARDINAL
ejpam-4416	849	3	3	CARDINAL
ejpam-4416	849	4	2022	CARDINAL
ejpam-4416	849	5	1098-1112	DATE
ejpam-4416	849	6	c(γcn	GPE
ejpam-4416	850	1	1	CARDINAL
ejpam-4416	850	2	1	CARDINAL
ejpam-4416	850	3	1 ≤	QUANTITY
ejpam-4416	850	4	1	CARDINAL
ejpam-4416	850	5	2	CARDINAL
ejpam-4416	850	6	1 ≤	QUANTITY
ejpam-4416	851	1	1 deg(c(2i−1)(2i	QUANTITY
ejpam-4416	852	1	2	CARDINAL
ejpam-4416	852	2	1 ≤	QUANTITY
ejpam-4416	852	3	2 2	DATE
ejpam-4416	853	1	c(γcn	GPE
ejpam-4416	855	1	1	CARDINAL
ejpam-4416	855	2	1)(n− 1	DATE
ejpam-4416	856	1	2 2	DATE
ejpam-4416	856	2	1	CARDINAL
ejpam-4416	856	3	2	CARDINAL
ejpam-4416	856	4	2	CARDINAL
ejpam-4416	856	5	+ 2n−	DATE
ejpam-4416	856	6	4	CARDINAL
ejpam-4416	856	7	1 2	CARDINAL
ejpam-4416	858	1	4 2	DATE
ejpam-4416	858	2	c(γcn	GPE
ejpam-4416	859	1	2	CARDINAL
ejpam-4416	861	1	c(γcn))|	CARDINAL
ejpam-4416	861	2	5n−4 2	DATE
ejpam-4416	861	3	|e(c(γcn))|	LOC
ejpam-4416	863	1	4	CARDINAL
ejpam-4416	863	2	3n−4 2	DATE
ejpam-4416	864	1	c(γcn))|	CARDINAL
ejpam-4416	864	2	3n−	CARDINAL
ejpam-4416	865	1	2n+	CARDINAL
ejpam-4416	865	2	3n−	CARDINAL
ejpam-4416	865	3	5n−	CARDINAL
ejpam-4416	865	4	|e(c(γcn))|	LOC
ejpam-4416	865	5	1	CARDINAL
ejpam-4416	866	1	3n−	CARDINAL
ejpam-4416	867	1	3n−	CARDINAL
ejpam-4416	867	2	4 2	DATE
ejpam-4416	868	1	4	CARDINAL
ejpam-4416	869	1	c. alib	PERSON
ejpam-4416	869	2	d. magpantay	PERSON
ejpam-4416	870	1	j. pure	PERSON
ejpam-4416	870	2	15	CARDINAL
ejpam-4416	870	3	3	CARDINAL
ejpam-4416	870	4	2022	CARDINAL
ejpam-4416	870	5	1098-1112	DATE
ejpam-4416	870	6	3	CARDINAL
ejpam-4416	872	1	∈	ORG
ejpam-4416	872	2	d(u	PERSON
ejpam-4416	872	3	d(u	PERSON
ejpam-4416	873	1	integer n ≥ 2	ORG
ejpam-4416	876	1	⋃	DATE
ejpam-4416	876	2	vi	PERSON
ejpam-4416	877	1	vi	PERSON
ejpam-4416	877	2	⋃	DATE
ejpam-4416	877	3	vi	PERSON
ejpam-4416	877	4	vi	PERSON
ejpam-4416	878	1	∈	ORG
ejpam-4416	878	2	d(x	ORG
ejpam-4416	878	3	∈	ORG
ejpam-4416	879	1	1 ≤ i ≤	QUANTITY
ejpam-4416	879	2	1	CARDINAL
ejpam-4416	879	3	d(x	ORG
ejpam-4416	879	4	∈	ORG
ejpam-4416	880	1	{vi :	PERSON
ejpam-4416	880	2	1 ≤	QUANTITY
ejpam-4416	880	3	1	CARDINAL
ejpam-4416	880	4	d(x	ORG
ejpam-4416	880	5	∈	ORG
ejpam-4416	881	1	1 ≤	QUANTITY
ejpam-4416	881	2	2	CARDINAL
ejpam-4416	881	3	d(x	ORG
ejpam-4416	881	4	∈	ORG
ejpam-4416	882	1	first	ORDINAL
ejpam-4416	883	1	d(x	ORG
ejpam-4416	883	2	∈	ORG
ejpam-4416	884	1	2	CARDINAL
ejpam-4416	885	1	7	CARDINAL
ejpam-4416	908	1	c01 c02 c03 c04c0(n−4	ORG
ejpam-4416	1134	1	7	CARDINAL
ejpam-4416	1134	2	7	CARDINAL
ejpam-4416	1134	3	∈	ORG
ejpam-4416	1134	4	3	CARDINAL
ejpam-4416	1136	1	d(vn−1	ORG
ejpam-4416	1136	2	∈	ORG
ejpam-4416	1137	1	c(γcn	GPE
ejpam-4416	1138	1	4	CARDINAL
ejpam-4416	1140	1	c(γcn	GPE
ejpam-4416	1140	2	i.	PERSON
ejpam-4416	1140	3	e(u	PERSON
ejpam-4416	1140	4	3	CARDINAL
ejpam-4416	1140	5	∈	ORG
ejpam-4416	1142	1	e(u	PERSON
ejpam-4416	1142	2	2	CARDINAL
ejpam-4416	1142	3	3	CARDINAL
ejpam-4416	1142	4	∈	ORG
ejpam-4416	1143	1	c. alib	PERSON
ejpam-4416	1143	2	d. magpantay	PERSON
ejpam-4416	1144	1	j. pure	PERSON
ejpam-4416	1144	2	15	CARDINAL
ejpam-4416	1144	3	3	CARDINAL
ejpam-4416	1144	4	2022	CARDINAL
ejpam-4416	1144	5	1098-1112	DATE
ejpam-4416	1147	1	3	CARDINAL
ejpam-4416	1147	2	∈	ORG
ejpam-4416	1147	3	3	CARDINAL
ejpam-4416	1147	4	3	CARDINAL
ejpam-4416	1147	5	3	CARDINAL
ejpam-4416	1147	6	1	CARDINAL
ejpam-4416	1147	7	3	CARDINAL
ejpam-4416	1147	8	1	CARDINAL
ejpam-4416	1147	9	e(c(2i−1)(2i	GPE
ejpam-4416	1148	1	3	CARDINAL
ejpam-4416	1149	1	2	CARDINAL
ejpam-4416	1150	1	∈	ORG
ejpam-4416	1150	2	e(u	PERSON
ejpam-4416	1151	1	3	CARDINAL
ejpam-4416	1152	1	6	CARDINAL
ejpam-4416	1152	2	3	CARDINAL
ejpam-4416	1152	3	3	CARDINAL
ejpam-4416	1152	4	1	CARDINAL
ejpam-4416	1152	5	3	CARDINAL
ejpam-4416	1152	6	2	CARDINAL
ejpam-4416	1152	7	e(c(2i−1)(2i	GPE
ejpam-4416	1153	1	3	CARDINAL
ejpam-4416	1154	1	2	CARDINAL
ejpam-4416	1154	2	e(u	PERSON
ejpam-4416	1154	3	2	CARDINAL
ejpam-4416	1154	4	3	CARDINAL
ejpam-4416	1154	5	3	CARDINAL
ejpam-4416	1155	1	c(γc4	GPE
ejpam-4416	1155	2	8	CARDINAL
ejpam-4416	1155	3	c(γc4	GPE
ejpam-4416	1155	4	3	CARDINAL
ejpam-4416	1155	5	2	CARDINAL
ejpam-4416	1156	1	3	CARDINAL
ejpam-4416	1156	2	c(γc4	PERSON
ejpam-4416	1195	1	2 3	CARDINAL
ejpam-4416	1195	2	3 3 3 3	TIME
ejpam-4416	1195	3	v3 v2 v1 c04 c03	GPE
ejpam-4416	1195	4	3 3	CARDINAL
ejpam-4416	1232	1	8	CARDINAL
ejpam-4416	1232	2	c(γc4	GPE
ejpam-4416	1232	3	γc5	PRODUCT
ejpam-4416	1233	1	c(γcn	GPE
ejpam-4416	1234	1	5	CARDINAL
ejpam-4416	1235	1	3	CARDINAL
ejpam-4416	1235	2	i.	PERSON
ejpam-4416	1239	1	2	CARDINAL
ejpam-4416	1240	1	3	CARDINAL
ejpam-4416	1241	1	3	CARDINAL
ejpam-4416	1243	1	∈	ORG
ejpam-4416	1243	2	e(u	PERSON
ejpam-4416	1244	1	3	CARDINAL
ejpam-4416	1245	1	3	CARDINAL
ejpam-4416	1247	1	4-(ii	CARDINAL
ejpam-4416	1247	2	∃u ∈	PERSON
ejpam-4416	1247	3	2	CARDINAL
ejpam-4416	1247	4	max {e(u	PERSON
ejpam-4416	1247	5	∃u ∈	PERSON
ejpam-4416	1247	6	3	CARDINAL
ejpam-4416	1249	1	2	CARDINAL
ejpam-4416	1250	1	3	CARDINAL
ejpam-4416	1250	2	4	CARDINAL
ejpam-4416	1251	1	8	CARDINAL
ejpam-4416	1253	1	3	CARDINAL
ejpam-4416	1254	1	2	CARDINAL
ejpam-4416	1254	2	diam(c(γc4	PERSON
ejpam-4416	1255	1	3	CARDINAL
ejpam-4416	1255	2	two	CARDINAL
ejpam-4416	1255	3	c(γcn	GPE
ejpam-4416	1256	1	6	CARDINAL
ejpam-4416	1257	1	4	DATE
ejpam-4416	1259	1	c. alib	PERSON
ejpam-4416	1259	2	d. magpantay	PERSON
ejpam-4416	1260	1	j. pure	PERSON
ejpam-4416	1260	2	15	CARDINAL
ejpam-4416	1260	3	3	CARDINAL
ejpam-4416	1260	4	2022	CARDINAL
ejpam-4416	1260	5	1098-1112	DATE
ejpam-4416	1261	1	5-(ii	CARDINAL
ejpam-4416	1262	1	2	CARDINAL
ejpam-4416	1262	2	4-(ii	CARDINAL
ejpam-4416	1262	3	2	CARDINAL
ejpam-4416	1263	1	c(γcn	GPE
ejpam-4416	1264	1	cen(c(γcn	PERSON
ejpam-4416	1265	1	5	CARDINAL
ejpam-4416	1266	1	c(γc8	ORG
ejpam-4416	1266	2	γc8	PRODUCT
ejpam-4416	1325	1	..............................................................................................................................................................................................................	PERSON
ejpam-4416	1334	1	v3 v2 v1 ....................................	FAC
ejpam-4416	1340	1	9	CARDINAL
ejpam-4416	1340	2	γc8	ORG
ejpam-4416	1341	1	γc8	PRODUCT
ejpam-4416	1345	1	3	CARDINAL
ejpam-4416	1345	2	c(γcn	GPE
ejpam-4416	1348	1	2	CARDINAL
ejpam-4416	1348	2	3	CARDINAL
ejpam-4416	1349	1	∈	ORG
ejpam-4416	1349	2	e(u	PERSON
ejpam-4416	1350	1	3	CARDINAL
ejpam-4416	1351	1	3	CARDINAL
ejpam-4416	1352	1	∈	ORG
ejpam-4416	1353	1	c(γcn	GPE
ejpam-4416	1353	2	c(γn	ORG
ejpam-4416	1370	1	c12 c34	ORG
ejpam-4416	1410	1	v1 v2 v3v4 v5 v6	PERSON
ejpam-4416	1410	2	3 3	CARDINAL
ejpam-4416	1426	1	c12 c34	ORG
ejpam-4416	1466	1	v1 v2	PERSON
ejpam-4416	1467	1	10	CARDINAL
ejpam-4416	1468	1	c. alib	PERSON
ejpam-4416	1468	2	d. magpantay	PERSON
ejpam-4416	1469	1	j. pure	PERSON
ejpam-4416	1469	2	15	CARDINAL
ejpam-4416	1469	3	3	CARDINAL
ejpam-4416	1469	4	2022	CARDINAL
ejpam-4416	1469	5	1098-1112	DATE
ejpam-4416	1469	6	6	CARDINAL
ejpam-4416	1470	1	10	CARDINAL
ejpam-4416	1473	1	8	CARDINAL
ejpam-4416	1474	1	c(γcn	GPE
ejpam-4416	1474	2	3	CARDINAL
ejpam-4416	1476	1	∈	ORG
ejpam-4416	1476	2	diam(c(γcn	PERSON
ejpam-4416	1477	1	3	CARDINAL
ejpam-4416	1478	1	∈	ORG
ejpam-4416	1479	1	9	CARDINAL
ejpam-4416	1480	1	integer n ≥ 4	ORG
ejpam-4416	1481	1	0 ≤ i ≤	QUANTITY
ejpam-4416	1481	2	⋃	DATE
ejpam-4416	1481	3	1 ≤ i ≤	QUANTITY
ejpam-4416	1481	4	⋃	DATE
ejpam-4416	1481	5	{c(2i−1)(2i	PERSON
ejpam-4416	1481	6	1 ≤ i ≤	QUANTITY
ejpam-4416	1483	1	4-(ii	CARDINAL
ejpam-4416	1483	2	5-(ii	CARDINAL
ejpam-4416	1484	1	10	CARDINAL
ejpam-4416	1485	1	3	CARDINAL
ejpam-4416	1491	1	11	CARDINAL
ejpam-4416	1492	1	integer n ≥ 4	ORG
ejpam-4416	1493	1	1 ≤	QUANTITY
ejpam-4416	1494	1	1 ≤ i ≤	QUANTITY
ejpam-4416	1498	1	4-(ii	CARDINAL
ejpam-4416	1498	2	8	CARDINAL
ejpam-4416	1499	1	12	CARDINAL
ejpam-4416	1503	1	c(γcn	GPE
ejpam-4416	1503	2	c(γcn	GPE
ejpam-4416	1503	3	c(γcn	GPE
ejpam-4416	1505	1	c(γcn	GPE
ejpam-4416	1506	1	only two	CARDINAL
ejpam-4416	1506	2	c(γcn	GPE
ejpam-4416	1506	3	c(γcn	GPE
ejpam-4416	1508	1	13	CARDINAL
ejpam-4416	1510	1	6	CARDINAL
ejpam-4416	1510	2	3 4	DATE
ejpam-4416	1510	3	4	CARDINAL
ejpam-4416	1510	4	5	CARDINAL
ejpam-4416	1510	5	1111	PERSON
ejpam-4416	1511	1	3	CARDINAL
ejpam-4416	1511	2	c(γc3	GPE
ejpam-4416	1511	3	6	CARDINAL
ejpam-4416	1513	1	6	CARDINAL
ejpam-4416	1513	2	c(γc4	GPE
ejpam-4416	1514	1	1 ≤ i ≤ 3	QUANTITY
ejpam-4416	1515	1	1 ≤ i ≤ 3} ⋃	QUANTITY
ejpam-4416	1516	1	v2, v3	GPE
ejpam-4416	1516	2	c(γc4	GPE
ejpam-4416	1518	1	4	CARDINAL
ejpam-4416	1519	1	1 ≤	QUANTITY
ejpam-4416	1519	2	e(c(γc5	ORG
ejpam-4416	1520	1	1 ≤	QUANTITY
ejpam-4416	1521	1	v2, v3	GPE
ejpam-4416	1521	2	c(γc4	GPE
ejpam-4416	1523	1	4	CARDINAL
ejpam-4416	1523	2	n ≥ 6	DATE
ejpam-4416	1523	3	c(γcn	GPE
ejpam-4416	1524	1	3	CARDINAL
ejpam-4416	1524	2	c(c(γcn	GPE
ejpam-4416	1527	1	3	CARDINAL
ejpam-4416	1527	2	5	CARDINAL
ejpam-4416	1530	1	1	CARDINAL
ejpam-4416	1530	2	a. ballester-bolinches	PERSON
ejpam-4416	1530	3	j. cossey	PERSON
ejpam-4416	1532	1	di matematica	PERSON
ejpam-4416	1532	2	33(1):89–94, 2013	DATE
ejpam-4416	1533	1	2	CARDINAL
ejpam-4416	1533	2	s. ghosh	PERSON
ejpam-4416	1535	1	311(13):1220–1222,	DATE
ejpam-4416	1535	2	2011	DATE
ejpam-4416	1536	1	3	CARDINAL
ejpam-4416	1538	1	balıkesir üniversitesi fen	ORG
ejpam-4416	1538	2	dergisi	ORG
ejpam-4416	1538	3	22(1):149–158	DATE
ejpam-4416	1538	4	2020	DATE
ejpam-4416	1539	1	4	CARDINAL
ejpam-4416	1539	2	a. godase	PERSON
ejpam-4416	1540	1	122–130,	DATE
ejpam-4416	1540	2	2015	DATE
ejpam-4416	1541	1	5	CARDINAL
ejpam-4416	1541	2	m. herawati	PERSON
ejpam-4416	1542	1	3(1	CARDINAL
ejpam-4416	1542	2	2021	CARDINAL
ejpam-4416	1543	1	6	CARDINAL
ejpam-4416	1543	2	w. kandasamy	PERSON
ejpam-4416	1545	1	2009	DATE
ejpam-4416	1546	1	1112	CARDINAL
ejpam-4416	1547	1	7	CARDINAL
ejpam-4416	1547	2	z. raza	PERSON
ejpam-4416	1547	3	s. faizi	PERSON
ejpam-4416	1549	1	13:221–227, 2013	DATE
ejpam-4416	1550	1	8	CARDINAL
ejpam-4416	1550	2	s. rehman	PERSON
ejpam-4416	1550	3	a. baig	PERSON
ejpam-4416	1550	4	m. imran	PERSON
ejpam-4416	1550	5	z. khan	PERSON
ejpam-4416	1552	1	ovidius	PERSON
ejpam-4416	1552	2	constanta-seria matematica	ORG
ejpam-4416	1552	3	2018	DATE
ejpam-4416	1553	1	9	CARDINAL
ejpam-4416	1553	2	w. somnuek	PERSON
ejpam-4416	1555	1	17(1	CARDINAL
ejpam-4416	1555	2	2017	DATE
ejpam-4416	1556	1	10	CARDINAL
ejpam-4416	1556	2	j. vernold	PERSON
ejpam-4416	1558	1	ph.d	NORP
ejpam-4416	1558	2	bharathia university coimbatore india	ORG
ejpam-4416	1558	3	2007	DATE