id	sid	eid	entity	type
ejpam-4476	1	1	european journal	ORG
ejpam-4476	2	1	15	CARDINAL
ejpam-4476	2	2	3	CARDINAL
ejpam-4476	2	3	2022	CARDINAL
ejpam-4476	2	4	864	CARDINAL
ejpam-4476	2	5	1307-5543	CARDINAL
ejpam-4476	2	6	new york	GPE
ejpam-4476	3	1	yukio kobayashi department	ORG
ejpam-4476	3	2	1-236 tangi-machi	QUANTITY
ejpam-4476	3	3	hachioji-shi	PERSON
ejpam-4476	3	4	tokyo	GPE
ejpam-4476	3	5	japan	GPE
ejpam-4476	7	1	only 1	CARDINAL
ejpam-4476	10	1	2020	DATE
ejpam-4476	10	2	97h20	CARDINAL
ejpam-4476	10	3	1	CARDINAL
ejpam-4476	11	1	n∑ k=1 k3	PERSON
ejpam-4476	11	2	n∑ k=1	PERSON
ejpam-4476	13	1	2n + 1)(1	CARDINAL
ejpam-4476	13	2	3	CARDINAL
ejpam-4476	14	1	n∑ k=0	PERSON
ejpam-4476	14	2	n∑ k=0	PERSON
ejpam-4476	14	3	euler	PERSON
ejpam-4476	14	4	5	CARDINAL
ejpam-4476	15	1	n∑ k=0	PERSON
ejpam-4476	15	2	n(n + 1	FAC
ejpam-4476	16	1	2	CARDINAL
ejpam-4476	16	2	y. kobayashi	PERSON
ejpam-4476	16	3	864	CARDINAL
ejpam-4476	17	1	2022	CARDINAL
ejpam-4476	18	1	y. kobayashi	PERSON
ejpam-4476	19	1	j. pure	PERSON
ejpam-4476	19	2	15	CARDINAL
ejpam-4476	19	3	3	CARDINAL
ejpam-4476	19	4	2022	CARDINAL
ejpam-4476	19	5	864-877 865	MONEY
ejpam-4476	19	6	n∑ k=1 k2	PERSON
ejpam-4476	19	7	4	CARDINAL
ejpam-4476	20	1	n∑ k=1 k3	PERSON
ejpam-4476	20	2	n∑ k=1 k2	PERSON
ejpam-4476	20	3	5	CARDINAL
ejpam-4476	23	1	n∑ k=1	PERSON
ejpam-4476	25	1	one	CARDINAL
ejpam-4476	26	1	n∑ k=1 k2	PERSON
ejpam-4476	29	1	n∑ k=1	PERSON
ejpam-4476	33	1	2	CARDINAL
ejpam-4476	38	1	section 4	LAW
ejpam-4476	38	2	n∑ k=1 k3	PERSON
ejpam-4476	40	1	2	CARDINAL
ejpam-4476	40	2	2.1	CARDINAL
ejpam-4476	41	1	n∑ k=1	PERSON
ejpam-4476	42	1	n∑ k=1 k	PERSON
ejpam-4476	42	2	2	DATE
ejpam-4476	44	1	3k	CARDINAL
ejpam-4476	46	1	j. pure	PERSON
ejpam-4476	46	2	15	CARDINAL
ejpam-4476	46	3	3	CARDINAL
ejpam-4476	46	4	2022	CARDINAL
ejpam-4476	46	5	864-877 866	QUANTITY
ejpam-4476	46	6	n∑ k=1	PERSON
ejpam-4476	48	1	1	CARDINAL
ejpam-4476	49	1	1. cubic	QUANTITY
ejpam-4476	50	1	13	CARDINAL
ejpam-4476	50	2	1	CARDINAL
ejpam-4476	50	3	23	CARDINAL
ejpam-4476	50	4	22	CARDINAL
ejpam-4476	50	5	2	CARDINAL
ejpam-4476	50	6	2	CARDINAL
ejpam-4476	50	7	4 + 4	DATE
ejpam-4476	50	8	4− 1	DATE
ejpam-4476	50	9	4 + 1	DATE
ejpam-4476	51	1	3 + 5	DATE
ejpam-4476	51	2	33	CARDINAL
ejpam-4476	51	3	32	CARDINAL
ejpam-4476	51	4	3	CARDINAL
ejpam-4476	51	5	9× 3	DATE
ejpam-4476	51	6	9 + 9 + 9	DATE
ejpam-4476	51	7	9− 2	CARDINAL
ejpam-4476	51	8	7 + 9 + 11	DATE
ejpam-4476	52	1	43	CARDINAL
ejpam-4476	52	2	42	CARDINAL
ejpam-4476	52	3	4	CARDINAL
ejpam-4476	52	4	16× 4	DATE
ejpam-4476	52	5	16	CARDINAL
ejpam-4476	54	1	16− 3	DATE
ejpam-4476	55	1	16 + 1	DATE
ejpam-4476	55	2	16 + 3	DATE
ejpam-4476	55	3	13 + 15 + 17 + 19	DATE
ejpam-4476	59	1	n2 − (n−	ORG
ejpam-4476	59	2	1	CARDINAL
ejpam-4476	60	1	1	CARDINAL
ejpam-4476	61	1	13 + 23 + 33 + ·	DATE
ejpam-4476	62	1	1︸︷︷︸ 1	DATE
ejpam-4476	62	2	3 + 5)︸	CARDINAL
ejpam-4476	62	3	2	CARDINAL
ejpam-4476	62	4	7 + 9 + 11)︸	DATE
ejpam-4476	62	5	3	CARDINAL
ejpam-4476	62	6	13 + 15 + 17 + 19)︸	DATE
ejpam-4476	62	7	4	CARDINAL
ejpam-4476	64	1	k −	ORG
ejpam-4476	65	1	n2 − (n−	ORG
ejpam-4476	65	2	1	CARDINAL
ejpam-4476	67	1	1	CARDINAL
ejpam-4476	67	2	1	CARDINAL
ejpam-4476	67	3	n∑ k=1 k3	PERSON
ejpam-4476	67	4	1	CARDINAL
ejpam-4476	67	5	1	CARDINAL
ejpam-4476	67	6	1	CARDINAL
ejpam-4476	67	7	2	CARDINAL
ejpam-4476	67	8	1 2	CARDINAL
ejpam-4476	68	1	n∑ k=1	PERSON
ejpam-4476	69	1	1 2	CARDINAL
ejpam-4476	69	2	1 +	CARDINAL
ejpam-4476	69	3	1	CARDINAL
ejpam-4476	70	1	1	CARDINAL
ejpam-4476	70	2	2	CARDINAL
ejpam-4476	70	3	2	CARDINAL
ejpam-4476	71	1	2	CARDINAL
ejpam-4476	72	1	second	ORDINAL
ejpam-4476	72	2	42	CARDINAL
ejpam-4476	72	3	1 + 3 + 5 + 7	DATE
ejpam-4476	75	1	2	CARDINAL
ejpam-4476	76	1	1+2+3+4+	QUANTITY
ejpam-4476	76	2	+n	PERSON
ejpam-4476	77	1	j. pure	PERSON
ejpam-4476	77	2	15	CARDINAL
ejpam-4476	77	3	3	CARDINAL
ejpam-4476	77	4	2022	CARDINAL
ejpam-4476	77	5	864-877 867 two	QUANTITY
ejpam-4476	77	6	first	ORDINAL
ejpam-4476	77	7	1+3+5+ ·	DATE
ejpam-4476	78	1	1	CARDINAL
ejpam-4476	78	2	second	ORDINAL
ejpam-4476	78	3	1+3+5+ ·	DATE
ejpam-4476	79	1	1	CARDINAL
ejpam-4476	80	1	2.2	CARDINAL
ejpam-4476	82	1	n∑ k=1 k	PERSON
ejpam-4476	82	2	2	CARDINAL
ejpam-4476	82	3	1	CARDINAL
ejpam-4476	82	4	2	DATE
ejpam-4476	82	5	9	DATE
ejpam-4476	82	6	10	CARDINAL
ejpam-4476	83	1	two	CARDINAL
ejpam-4476	83	2	1	CARDINAL
ejpam-4476	83	3	2	CARDINAL
ejpam-4476	84	1	y. kobayashi	PERSON
ejpam-4476	85	1	j. pure	PERSON
ejpam-4476	85	2	15	CARDINAL
ejpam-4476	85	3	3	CARDINAL
ejpam-4476	85	4	2022	CARDINAL
ejpam-4476	85	5	864-877 868	MONEY
ejpam-4476	85	6	19 102	CARDINAL
ejpam-4476	85	7	1 + 3	DATE
ejpam-4476	86	1	10	CARDINAL
ejpam-4476	87	1	1 3	CARDINAL
ejpam-4476	87	2	22	CARDINAL
ejpam-4476	87	3	27	CARDINAL
ejpam-4476	87	4	32	CARDINAL
ejpam-4476	87	5	64	CARDINAL
ejpam-4476	88	1	42	CARDINAL
ejpam-4476	88	2	4	CARDINAL
ejpam-4476	88	3	1	CARDINAL
ejpam-4476	89	1	y. kobayashi	PERSON
ejpam-4476	90	1	j. pure	PERSON
ejpam-4476	90	2	15	CARDINAL
ejpam-4476	90	3	3	CARDINAL
ejpam-4476	90	4	2022	CARDINAL
ejpam-4476	90	5	864-877 869	MONEY
ejpam-4476	90	6	2 32	CARDINAL
ejpam-4476	90	7	42	CARDINAL
ejpam-4476	90	8	4	CARDINAL
ejpam-4476	90	9	2	CARDINAL
ejpam-4476	93	1	n∑ k=1	PERSON
ejpam-4476	94	1	n∑ k=1 k	PERSON
ejpam-4476	94	2	2	DATE
ejpam-4476	94	3	3	CARDINAL
ejpam-4476	96	1	half	CARDINAL
ejpam-4476	97	1	12×1+22×2+32×3	DATE
ejpam-4476	97	2	1+2+3)2	DATE
ejpam-4476	99	1	y. kobayashi	PERSON
ejpam-4476	100	1	j. pure	PERSON
ejpam-4476	100	2	15	CARDINAL
ejpam-4476	100	3	3	CARDINAL
ejpam-4476	100	4	2022	CARDINAL
ejpam-4476	100	5	864-877 870	QUANTITY
ejpam-4476	100	6	22	CARDINAL
ejpam-4476	100	7	3	CARDINAL
ejpam-4476	100	8	n∑ k=1	PERSON
ejpam-4476	101	1	n∑ k=1 k	PERSON
ejpam-4476	101	2	2	CARDINAL
ejpam-4476	102	1	3	CARDINAL
ejpam-4476	102	2	3.1	CARDINAL
ejpam-4476	103	1	2	CARDINAL
ejpam-4476	103	2	1	CARDINAL
ejpam-4476	103	3	3	DATE
ejpam-4476	103	4	5	DATE
ejpam-4476	105	1	2k	CARDINAL
ejpam-4476	105	2	1	CARDINAL
ejpam-4476	105	3	k.	PERSON
ejpam-4476	105	4	12	CARDINAL
ejpam-4476	106	1	1 + 1 + 1 + 1 +	DATE
ejpam-4476	106	2	+ 1)︸	DATE
ejpam-4476	106	3	3 + 3 + 3 +	DATE
ejpam-4476	107	1	+ 3)︸	TIME
ejpam-4476	108	1	5 + 5 +	DATE
ejpam-4476	108	2	+ 5)︸	DATE
ejpam-4476	109	1	2k	CARDINAL
ejpam-4476	109	2	1	CARDINAL
ejpam-4476	109	3	2k	CARDINAL
ejpam-4476	111	1	1)︸	CARDINAL
ejpam-4476	111	2	1	CARDINAL
ejpam-4476	112	1	3	CARDINAL
ejpam-4476	112	2	3	CARDINAL
ejpam-4476	113	1	n∑ k=1 k2 = n∑ k=1	PERSON
ejpam-4476	114	1	2k	CARDINAL
ejpam-4476	116	1	2n+ 3	CARDINAL
ejpam-4476	116	2	n∑ k=1	PERSON
ejpam-4476	118	1	2	CARDINAL
ejpam-4476	118	2	n∑ k=1 k2	PERSON
ejpam-4476	120	1	1	CARDINAL
ejpam-4476	121	1	4	CARDINAL
ejpam-4476	121	2	4	CARDINAL
ejpam-4476	121	3	3 n∑ k=1 k2	QUANTITY
ejpam-4476	121	4	2n+ 3	CARDINAL
ejpam-4476	121	5	n∑ k=1	PERSON
ejpam-4476	122	1	5	CARDINAL
ejpam-4476	122	2	y. kobayashi	PERSON
ejpam-4476	123	1	j. pure	PERSON
ejpam-4476	123	2	15	CARDINAL
ejpam-4476	123	3	3	CARDINAL
ejpam-4476	123	4	2022	CARDINAL
ejpam-4476	123	5	864-877 871	QUANTITY
ejpam-4476	123	6	n∑ k=1	PERSON
ejpam-4476	126	1	2n+	CARDINAL
ejpam-4476	127	1	3 3 n∑ k=1	QUANTITY
ejpam-4476	129	1	2 3 n∑ k=1	TIME
ejpam-4476	130	1	1 3 n∑ k=1	QUANTITY
ejpam-4476	131	1	1 6 n(n+ 1)(2n+ 1	QUANTITY
ejpam-4476	131	2	6	CARDINAL
ejpam-4476	131	3	n∑ k=1	PERSON
ejpam-4476	132	1	1	CARDINAL
ejpam-4476	132	2	2	CARDINAL
ejpam-4476	132	3	2	CARDINAL
ejpam-4476	133	1	12	CARDINAL
ejpam-4476	133	2	1 22	CARDINAL
ejpam-4476	133	3	1 + 3 32	DATE
ejpam-4476	133	4	1 + 3 + 5	DATE
ejpam-4476	133	5	1 + 3 + 5 + 7 + ·	DATE
ejpam-4476	133	6	2k	CARDINAL
ejpam-4476	133	7	1	CARDINAL
ejpam-4476	133	8	1 + 3 + 5 + 7 + ·	DATE
ejpam-4476	133	9	2k	CARDINAL
ejpam-4476	133	10	1	CARDINAL
ejpam-4476	133	11	1	CARDINAL
ejpam-4476	134	1	3	CARDINAL
ejpam-4476	134	2	12 + 22 + 32 +	DATE
ejpam-4476	135	1	1× n+ 3×	CARDINAL
ejpam-4476	135	2	1	CARDINAL
ejpam-4476	135	3	2	CARDINAL
ejpam-4476	136	1	2k	CARDINAL
ejpam-4476	136	2	1)×	CARDINAL
ejpam-4476	137	1	1)×	DATE
ejpam-4476	137	2	n−	ORG
ejpam-4476	137	3	1	CARDINAL
ejpam-4476	138	1	7	CARDINAL
ejpam-4476	138	2	7	CARDINAL
ejpam-4476	138	3	1 + 3 + 5 +	DATE
ejpam-4476	139	1	2k	CARDINAL
ejpam-4476	139	2	1	CARDINAL
ejpam-4476	139	3	1)]n	CARDINAL
ejpam-4476	139	4	1 + 5× 2 +	CARDINAL
ejpam-4476	139	5	2k	CARDINAL
ejpam-4476	139	6	1)×	CARDINAL
ejpam-4476	140	1	1)×	CARDINAL
ejpam-4476	140	2	1	CARDINAL
ejpam-4476	141	1	1 + 3 + 5 +	DATE
ejpam-4476	142	1	2k	CARDINAL
ejpam-4476	142	2	1	CARDINAL
ejpam-4476	142	3	2n− 1)]n	DATE
ejpam-4476	142	4	9	CARDINAL
ejpam-4476	142	5	1+3+5+7+ ·	DATE
ejpam-4476	143	1	1	CARDINAL
ejpam-4476	143	2	3×	CARDINAL
ejpam-4476	143	3	2k	CARDINAL
ejpam-4476	143	4	1)×	CARDINAL
ejpam-4476	143	5	1)×	CARDINAL
ejpam-4476	143	6	1	CARDINAL
ejpam-4476	143	7	2 + 1)× 1 +	DATE
ejpam-4476	143	8	3 + 2)× 2 +	QUANTITY
ejpam-4476	145	1	k − 1)]×	ORG
ejpam-4476	145	2	1)]×	DATE
ejpam-4476	145	3	1	CARDINAL
ejpam-4476	145	4	2 + 22 + ·	DATE
ejpam-4476	148	1	1	CARDINAL
ejpam-4476	148	2	n−	ORG
ejpam-4476	149	1	j. pure	PERSON
ejpam-4476	149	2	15	CARDINAL
ejpam-4476	149	3	3	CARDINAL
ejpam-4476	149	4	2022	CARDINAL
ejpam-4476	149	5	864-877 872	MONEY
ejpam-4476	149	6	1 + 1)× 1 + 12 +	DATE
ejpam-4476	149	7	2 + 1)×	DATE
ejpam-4476	151	1	1	CARDINAL
ejpam-4476	152	1	1	CARDINAL
ejpam-4476	154	1	n−	ORG
ejpam-4476	154	2	2[12 + 22 + ·	DATE
ejpam-4476	156	1	1	CARDINAL
ejpam-4476	157	1	2[12 + 22 + ·	DATE
ejpam-4476	158	1	n−	ORG
ejpam-4476	158	2	1)2 + n2]− 2n2 +	QUANTITY
ejpam-4476	160	1	1	CARDINAL
ejpam-4476	160	2	10	CARDINAL
ejpam-4476	160	3	9	CARDINAL
ejpam-4476	160	4	10	CARDINAL
ejpam-4476	160	5	8)	CARDINAL
ejpam-4476	160	6	7	CARDINAL
ejpam-4476	160	7	12 + 22 + 32 +	DATE
ejpam-4476	160	8	2[12 + 22 + ·	DATE
ejpam-4476	161	1	n−	ORG
ejpam-4476	161	2	1)2 + n2	QUANTITY
ejpam-4476	162	1	1	CARDINAL
ejpam-4476	163	1	11	CARDINAL
ejpam-4476	163	2	3 n∑ k=1 k2	QUANTITY
ejpam-4476	165	1	1)2	CARDINAL
ejpam-4476	165	2	− n∑ k=1	PERSON
ejpam-4476	166	1	12	CARDINAL
ejpam-4476	166	2	6	CARDINAL
ejpam-4476	166	3	12	CARDINAL
ejpam-4476	166	4	n(n	ORG
ejpam-4476	166	5	2(n+ 1	DATE
ejpam-4476	167	1	k=1 k. 3.2	PERSON
ejpam-4476	170	1	6	CARDINAL
ejpam-4476	170	2	7	CARDINAL
ejpam-4476	170	3	2	CARDINAL
ejpam-4476	170	4	4	CARDINAL
ejpam-4476	170	5	12	CARDINAL
ejpam-4476	170	6	32 1 1 3 1 3 5	TIME
ejpam-4476	170	7	22	CARDINAL
ejpam-4476	170	8	3	CARDINAL
ejpam-4476	170	9	4	CARDINAL
ejpam-4476	170	10	3(12 + 22 + 32	QUANTITY
ejpam-4476	171	1	y. kobayashi	PERSON
ejpam-4476	172	1	j. pure	PERSON
ejpam-4476	172	2	15	CARDINAL
ejpam-4476	172	3	3	CARDINAL
ejpam-4476	172	4	2022	CARDINAL
ejpam-4476	172	5	864-877 873	QUANTITY
ejpam-4476	172	6	3	CARDINAL
ejpam-4476	172	7	12 + 22	CARDINAL
ejpam-4476	174	1	1 +	DATE
ejpam-4476	174	2	1 + 2 + 3	DATE
ejpam-4476	175	1	1 +	DATE
ejpam-4476	175	2	1 + 2 + 3	DATE
ejpam-4476	175	3	1 + 2 + 3 + 4	DATE
ejpam-4476	176	1	13	CARDINAL
ejpam-4476	177	1	4	CARDINAL
ejpam-4476	177	2	12 + 22	DATE
ejpam-4476	177	3	+ 1 + (	DATE
ejpam-4476	177	4	1 + 2 + 3	DATE
ejpam-4476	178	1	14	CARDINAL
ejpam-4476	178	2	13	CARDINAL
ejpam-4476	179	1	13	CARDINAL
ejpam-4476	179	2	14	CARDINAL
ejpam-4476	179	3	5	CARDINAL
ejpam-4476	180	1	+ 1 + (	DATE
ejpam-4476	181	1	2 3	DATE
ejpam-4476	182	1	15	CARDINAL
ejpam-4476	182	2	+ 1 + (	DATE
ejpam-4476	182	3	1 + 2 + 3	DATE
ejpam-4476	183	1	1 + 2 + ·	DATE
ejpam-4476	184	1	2 3	DATE
ejpam-4476	185	1	1)](1 + n+ 1	DATE
ejpam-4476	185	2	2 3	DATE
ejpam-4476	185	3	n−	ORG
ejpam-4476	185	4	2	CARDINAL
ejpam-4476	185	5	1	CARDINAL
ejpam-4476	185	6	16	CARDINAL
ejpam-4476	185	7	14	CARDINAL
ejpam-4476	185	8	12 + 22	DATE
ejpam-4476	186	1	2 3	DATE
ejpam-4476	186	2	n−	ORG
ejpam-4476	186	3	2	CARDINAL
ejpam-4476	186	4	1	CARDINAL
ejpam-4476	186	5	2	CARDINAL
ejpam-4476	186	6	1)(2n+ 1	CARDINAL
ejpam-4476	186	7	6	CARDINAL
ejpam-4476	187	1	17	CARDINAL
ejpam-4476	187	2	3	CARDINAL
ejpam-4476	188	1	two	CARDINAL
ejpam-4476	189	1	12	CARDINAL
ejpam-4476	189	2	1	CARDINAL
ejpam-4476	189	3	22	CARDINAL
ejpam-4476	189	4	1 +	DATE
ejpam-4476	190	1	32	CARDINAL
ejpam-4476	190	2	1 +	DATE
ejpam-4476	190	3	2 + 3	DATE
ejpam-4476	190	4	1 + 2	DATE
ejpam-4476	190	5	1 + 2 + 3	DATE
ejpam-4476	191	1	42	CARDINAL
ejpam-4476	191	2	1 +	DATE
ejpam-4476	191	3	2 + 3	DATE
ejpam-4476	191	4	3 + 4	DATE
ejpam-4476	191	5	1 + 2 + 3	DATE
ejpam-4476	191	6	1 + 2 + 3 + 4	DATE
ejpam-4476	192	1	2	CARDINAL
ejpam-4476	192	2	4	CARDINAL
ejpam-4476	194	1	12	CARDINAL
ejpam-4476	196	1	22	CARDINAL
ejpam-4476	196	2	1 + 2	CARDINAL
ejpam-4476	196	3	32	CARDINAL
ejpam-4476	196	4	1 + 2	DATE
ejpam-4476	197	1	42	CARDINAL
ejpam-4476	197	2	1 + 2 + 3	DATE
ejpam-4476	197	3	y. kobayashi	PERSON
ejpam-4476	198	1	j. pure	PERSON
ejpam-4476	198	2	15	CARDINAL
ejpam-4476	198	3	3	CARDINAL
ejpam-4476	198	4	2022	CARDINAL
ejpam-4476	198	5	864-877	MONEY
ejpam-4476	199	1	2 + 1	DATE
ejpam-4476	199	2	5	CARDINAL
ejpam-4476	200	1	12	CARDINAL
ejpam-4476	200	2	22	DATE
ejpam-4476	200	3	32	CARDINAL
ejpam-4476	201	1	3	CARDINAL
ejpam-4476	203	1	12 + 22 + 32	DATE
ejpam-4476	204	1	4.	CARDINAL
ejpam-4476	204	2	algebraic	PERSON
ejpam-4476	204	3	n∑ k=1 k3	PERSON
ejpam-4476	204	4	n∑ k=1 k2	PERSON
ejpam-4476	210	1	1 +	CARDINAL
ejpam-4476	210	2	1 + 1 + 1)]×	DATE
ejpam-4476	210	3	1 +	DATE
ejpam-4476	210	4	1 + 1 + 1	DATE
ejpam-4476	210	5	18	CARDINAL
ejpam-4476	210	6	36	CARDINAL
ejpam-4476	210	7	1	CARDINAL
ejpam-4476	210	8	t( 1 1 1 1 1 1	DATE
ejpam-4476	211	1	two	CARDINAL
ejpam-4476	211	2	6	CARDINAL
ejpam-4476	212	1	36	CARDINAL
ejpam-4476	212	2	12	CARDINAL
ejpam-4476	212	3	six	CARDINAL
ejpam-4476	213	1	1 + 3 + 5 + 7 + 9 + 11	DATE
ejpam-4476	213	2	20	CARDINAL
ejpam-4476	214	1	13 + 23 + 33	DATE
ejpam-4476	215	1	6	CARDINAL
ejpam-4476	217	1	j. pure	PERSON
ejpam-4476	217	2	15	CARDINAL
ejpam-4476	217	3	3	CARDINAL
ejpam-4476	217	4	2022	CARDINAL
ejpam-4476	217	5	864-877 875	MONEY
ejpam-4476	217	6	11 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1	TIME
ejpam-4476	217	7	6	CARDINAL
ejpam-4476	217	8	1 + 2+ 3)2	QUANTITY
ejpam-4476	217	9	36	CARDINAL
ejpam-4476	217	10	1	CARDINAL
ejpam-4476	218	1	1	CARDINAL
ejpam-4476	220	1	12 1	DATE
ejpam-4476	220	2	2 1	DATE
ejpam-4476	220	3	3 2	QUANTITY
ejpam-4476	220	4	1 22 2	TIME
ejpam-4476	220	5	3 3	DATE
ejpam-4476	220	6	1 3	DATE
ejpam-4476	220	7	2 32	DATE
ejpam-4476	220	8	21	CARDINAL
ejpam-4476	220	9	7	CARDINAL
ejpam-4476	220	10	12 + 22 + 32	DATE
ejpam-4476	220	11	1 + 2 + 3)2	DATE
ejpam-4476	220	12	2(1	CARDINAL
ejpam-4476	220	13	2 + 2	DATE
ejpam-4476	220	14	3 + 3	DATE
ejpam-4476	220	15	1	CARDINAL
ejpam-4476	221	1	22	CARDINAL
ejpam-4476	221	2	7	CARDINAL
ejpam-4476	221	3	1 + 2 + 3)2	QUANTITY
ejpam-4476	221	4	36	CARDINAL
ejpam-4476	221	5	1	CARDINAL
ejpam-4476	222	1	1× 2	DATE
ejpam-4476	222	2	2× 3	DATE
ejpam-4476	222	3	3× 1	DATE
ejpam-4476	227	1	12 + 22 + 32	DATE
ejpam-4476	228	1	6	CARDINAL
ejpam-4476	228	2	6	CARDINAL
ejpam-4476	228	3	8	CARDINAL
ejpam-4476	228	4	t( 1 1 1 1 1 1 1	DATE
ejpam-4476	229	1	two	CARDINAL
ejpam-4476	229	2	8	CARDINAL
ejpam-4476	230	1	42	CARDINAL
ejpam-4476	230	2	42×	CARDINAL
ejpam-4476	230	3	1	CARDINAL
ejpam-4476	231	1	3×	CARDINAL
ejpam-4476	232	1	1 +	DATE
ejpam-4476	232	2	1 + 3	DATE
ejpam-4476	232	3	1 + 3 + 5	DATE
ejpam-4476	233	1	3×	CARDINAL
ejpam-4476	233	2	12 + 22 + 32	DATE
ejpam-4476	233	3	23	CARDINAL
ejpam-4476	233	4	y. kobayashi	PERSON
ejpam-4476	234	1	j. pure	PERSON
ejpam-4476	234	2	15	CARDINAL
ejpam-4476	234	3	3	CARDINAL
ejpam-4476	234	4	2022	CARDINAL
ejpam-4476	234	5	864-877 876	QUANTITY
ejpam-4476	234	6	1+2+3	QUANTITY
ejpam-4476	234	7	42×	CARDINAL
ejpam-4476	234	8	1	CARDINAL
ejpam-4476	234	9	24	CARDINAL
ejpam-4476	235	1	12 + 22 + 32	DATE
ejpam-4476	235	2	1 3	CARDINAL
ejpam-4476	236	1	two	CARDINAL
ejpam-4476	236	2	four	CARDINAL
ejpam-4476	236	3	12+22+32+42	DATE
ejpam-4476	237	1	12 + 22	CARDINAL
ejpam-4476	238	1	8	CARDINAL
ejpam-4476	238	2	42	CARDINAL
ejpam-4476	238	3	1	CARDINAL
ejpam-4476	239	1	1	CARDINAL
ejpam-4476	240	1	n∑ k=1 k	PERSON
ejpam-4476	240	2	2	DATE
ejpam-4476	241	1	7	CARDINAL
ejpam-4476	241	2	8	CARDINAL
ejpam-4476	242	1	5	CARDINAL
ejpam-4476	246	1	cartesian	NORP
ejpam-4476	247	1	only 1	CARDINAL
ejpam-4476	249	1	only 1	CARDINAL
ejpam-4476	250	1	877	CARDINAL
ejpam-4476	253	1	english	LANGUAGE
ejpam-4476	254	1	1	CARDINAL
ejpam-4476	254	2	c. alsina	PERSON
ejpam-4476	254	3	r. b. nelsen	PERSON
ejpam-4476	256	1	european journal	ORG
ejpam-4476	256	2	3:118–127	CARDINAL
ejpam-4476	256	3	2010	DATE
ejpam-4476	257	1	2	CARDINAL
ejpam-4476	258	1	n∑ k=1	PERSON
ejpam-4476	259	1	n∑ k=1 k	PERSON
ejpam-4476	259	2	2	CARDINAL
ejpam-4476	260	1	gazette	GPE
ejpam-4476	260	2	268, 2002	DATE
ejpam-4476	261	1	3	CARDINAL
ejpam-4476	261	2	y kobayashi	PERSON
ejpam-4476	262	1	n∑ k=1	PERSON
ejpam-4476	263	1	n∑ k=1 k2	PERSON
ejpam-4476	263	2	n∑ k=1	PERSON
ejpam-4476	265	1	42:657–664,	DATE
ejpam-4476	265	2	2011	DATE
ejpam-4476	266	1	4	CARDINAL
ejpam-4476	266	2	y. kobayashi	PERSON
ejpam-4476	267	1	n∑ k=1 k2	PERSON
ejpam-4476	268	1	42:235–239, 2011	DATE
ejpam-4476	269	1	5	CARDINAL
ejpam-4476	269	2	y. kobayashi	PERSON
ejpam-4476	270	1	1ℓ+2ℓ+	CARDINAL
ejpam-4476	271	1	+nℓ	DATE
ejpam-4476	272	1	2013	DATE
ejpam-4476	273	1	6	CARDINAL
ejpam-4476	273	2	y. kobayashi	PERSON
ejpam-4476	275	1	476	CARDINAL
ejpam-4476	275	2	2015	DATE
ejpam-4476	276	1	erratum 46:795	ORG
ejpam-4476	276	2	2015	DATE
ejpam-4476	277	1	7	CARDINAL
ejpam-4476	277	2	y. kobayashi	PERSON
ejpam-4476	279	1	far east journal of mathematical education	ORG
ejpam-4476	279	2	19:57–58,	DATE
ejpam-4476	279	3	2019	DATE
ejpam-4476	280	1	8	CARDINAL
ejpam-4476	280	2	y. kobayashi	PERSON
ejpam-4476	282	1	far east journal of mathematical education	ORG
ejpam-4476	282	2	20:79–82	CARDINAL
ejpam-4476	282	3	2020	DATE
ejpam-4476	283	1	9	CARDINAL
ejpam-4476	283	2	r. b. nelsen	PERSON
ejpam-4476	285	1	the mathematical association of america	ORG
ejpam-4476	285	2	1993	DATE
ejpam-4476	286	1	10	CARDINAL
ejpam-4476	286	2	r. b. nelsen	PERSON
ejpam-4476	288	1	the mathematical association of america	ORG
ejpam-4476	288	2	2000	DATE