id	sid	eid	entity	type
ejpam-3300	1	1	european journal	ORG
ejpam-3300	1	2	11	CARDINAL
ejpam-3300	1	3	4, 2018	DATE
ejpam-3300	1	4	1100-1107	DATE
ejpam-3300	1	5	1307-5543	DATE
ejpam-3300	1	6	new york	GPE
ejpam-3300	1	7	e. harris1	PERSON
ejpam-3300	1	8	n. f. darquah2	PERSON
ejpam-3300	2	1	1	CARDINAL
ejpam-3300	2	2	kwame nkrumah university of science and technology	ORG
ejpam-3300	2	3	kumasi	GPE
ejpam-3300	2	4	ghana	GPE
ejpam-3300	2	5	2	CARDINAL
ejpam-3300	2	6	kwame nkrumah university of science and technology	ORG
ejpam-3300	2	7	kumasi	GPE
ejpam-3300	2	8	ghana	GPE
ejpam-3300	2	9	3	CARDINAL
ejpam-3300	2	10	department of economics	ORG
ejpam-3300	2	11	central university	ORG
ejpam-3300	2	12	accra	GPE
ejpam-3300	2	13	ghana	GPE
ejpam-3300	3	1	agm	ORG
ejpam-3300	3	2	first	ORDINAL
ejpam-3300	3	3	second	ORDINAL
ejpam-3300	4	1	agm	ORG
ejpam-3300	5	1	agm	ORG
ejpam-3300	6	1	2010	DATE
ejpam-3300	6	2	44b51 44b52	CARDINAL
ejpam-3300	6	3	first	ORDINAL
ejpam-3300	6	4	second	ORDINAL
ejpam-3300	6	5	1	CARDINAL
ejpam-3300	7	1	the 21st century	DATE
ejpam-3300	7	2	agm	ORG
ejpam-3300	8	1	agm	ORG
ejpam-3300	8	2	lagrange	GPE
ejpam-3300	8	3	1	CARDINAL
ejpam-3300	9	1	agm	ORG
ejpam-3300	9	2	2	CARDINAL
ejpam-3300	9	3	3	CARDINAL
ejpam-3300	10	1	agm	ORG
ejpam-3300	11	1	4	CARDINAL
ejpam-3300	11	2	agm	ORG
ejpam-3300	12	1	5	CARDINAL
ejpam-3300	12	2	agm	ORG
ejpam-3300	14	1	bbarnes.cos@knust.edu.gh	PERSON
ejpam-3300	15	1	1100	CARDINAL
ejpam-3300	15	2	2018	DATE
ejpam-3300	16	1	b. barnes et al	PERSON
ejpam-3300	17	1	j. pure	PERSON
ejpam-3300	17	2	11	CARDINAL
ejpam-3300	17	3	4	CARDINAL
ejpam-3300	17	4	2018	DATE
ejpam-3300	17	5	1100-1107	DATE
ejpam-3300	17	6	6	CARDINAL
ejpam-3300	18	1	agm	ORG
ejpam-3300	18	2	taylor	PERSON
ejpam-3300	18	3	1 2	CARDINAL
ejpam-3300	18	4	f(x	ORG
ejpam-3300	19	1	f(x	ORG
ejpam-3300	21	1	2	CARDINAL
ejpam-3300	21	2	0 ≤ x ≤ 1	QUANTITY
ejpam-3300	21	3	1	CARDINAL
ejpam-3300	22	1	agm	ORG
ejpam-3300	22	2	8	CARDINAL
ejpam-3300	23	1	taylor	PERSON
ejpam-3300	23	2	1 2	DATE
ejpam-3300	23	3	f(x	ORG
ejpam-3300	24	1	2	CARDINAL
ejpam-3300	24	2	0 ≤ x ≤ 1	QUANTITY
ejpam-3300	25	1	9	CARDINAL
ejpam-3300	25	2	agm	ORG
ejpam-3300	25	3	second	ORDINAL
ejpam-3300	25	4	f(x	ORG
ejpam-3300	26	1	max{x	GPE
ejpam-3300	27	1	∈	ORG
ejpam-3300	28	1	agm	ORG
ejpam-3300	29	1	10	CARDINAL
ejpam-3300	29	2	11	CARDINAL
ejpam-3300	30	1	12	CARDINAL
ejpam-3300	30	2	agm	ORG
ejpam-3300	31	1	agm	ORG
ejpam-3300	31	2	first	ORDINAL
ejpam-3300	31	3	0	CARDINAL
ejpam-3300	31	4	2	CARDINAL
ejpam-3300	31	5	second	ORDINAL
ejpam-3300	31	6	2,∞	CARDINAL
ejpam-3300	32	1	1	CARDINAL
ejpam-3300	33	1	r.	NORP
ejpam-3300	33	2	a1	PRODUCT
ejpam-3300	33	3	0	CARDINAL
ejpam-3300	34	1	6=	DATE
ejpam-3300	34	2	0	CARDINAL
ejpam-3300	34	3	∀ a1	PERSON
ejpam-3300	34	4	∈	ORG
ejpam-3300	34	5	α(a1	ORDINAL
ejpam-3300	34	6	∀ α	PERSON
ejpam-3300	34	7	∈	ORG
ejpam-3300	35	1	13	CARDINAL
ejpam-3300	35	2	2	CARDINAL
ejpam-3300	36	1	0,∞	TIME
ejpam-3300	36	2	∈	ORG
ejpam-3300	37	1	0	CARDINAL
ejpam-3300	37	2	∈	ORG
ejpam-3300	37	3	∈	ORG
ejpam-3300	37	4	±	CARDINAL
ejpam-3300	38	1	∀ a1	PERSON
ejpam-3300	38	2	14	CARDINAL
ejpam-3300	39	1	b. barnes et al	PERSON
ejpam-3300	40	1	j. pure	PERSON
ejpam-3300	40	2	11	CARDINAL
ejpam-3300	40	3	4	CARDINAL
ejpam-3300	40	4	2018	DATE
ejpam-3300	40	5	1100-1107 1102	DATE
ejpam-3300	40	6	3	CARDINAL
ejpam-3300	40	7	first	ORDINAL
ejpam-3300	40	8	second	ORDINAL
ejpam-3300	41	1	two	CARDINAL
ejpam-3300	41	2	∈	ORG
ejpam-3300	42	1	0	CARDINAL
ejpam-3300	42	2	2	CARDINAL
ejpam-3300	43	1	1	CARDINAL
ejpam-3300	43	2	∈	ORG
ejpam-3300	44	1	2,∞	CARDINAL
ejpam-3300	45	1	2	CARDINAL
ejpam-3300	45	2	15	CARDINAL
ejpam-3300	46	1	1.1	CARDINAL
ejpam-3300	47	1	agm	ORG
ejpam-3300	47	2	first	ORDINAL
ejpam-3300	47	3	agm	ORG
ejpam-3300	47	4	first	ORDINAL
ejpam-3300	47	5	second	ORDINAL
ejpam-3300	48	1	1	CARDINAL
ejpam-3300	48	2	1−	CARDINAL
ejpam-3300	48	3	1−	CARDINAL
ejpam-3300	48	4	1−	CARDINAL
ejpam-3300	48	5	∀ p	ORG
ejpam-3300	49	1	0	CARDINAL
ejpam-3300	49	2	1	CARDINAL
ejpam-3300	50	1	3	CARDINAL
ejpam-3300	50	2	1−p	CARDINAL
ejpam-3300	50	3	1−	CARDINAL
ejpam-3300	51	1	4	CARDINAL
ejpam-3300	51	2	4	CARDINAL
ejpam-3300	51	3	3	CARDINAL
ejpam-3300	51	4	1−p	CARDINAL
ejpam-3300	51	5	1−	CARDINAL
ejpam-3300	52	1	5	CARDINAL
ejpam-3300	52	2	1 2	CARDINAL
ejpam-3300	52	3	5	CARDINAL
ejpam-3300	52	4	1 2 ≤ 1 2	MONEY
ejpam-3300	53	1	1 2 ≤ 1 2	QUANTITY
ejpam-3300	55	1	three	CARDINAL
ejpam-3300	55	2	3	CARDINAL
ejpam-3300	56	1	a2	ORG
ejpam-3300	57	1	0	CARDINAL
ejpam-3300	57	2	2	CARDINAL
ejpam-3300	57	3	1− p	ORG
ejpam-3300	57	4	‖a2‖+	PERSON
ejpam-3300	57	5	1−p	CARDINAL
ejpam-3300	57	6	1−	CARDINAL
ejpam-3300	57	7	‖a2‖+	PERSON
ejpam-3300	58	1	2 3	DATE
ejpam-3300	59	1	‖a2‖+	PERSON
ejpam-3300	59	2	b. barnes et al	PERSON
ejpam-3300	60	1	j. pure	PERSON
ejpam-3300	60	2	11	CARDINAL
ejpam-3300	60	3	4	CARDINAL
ejpam-3300	60	4	2018	DATE
ejpam-3300	60	5	1100-1107	DATE
ejpam-3300	60	6	3∏	CARDINAL
ejpam-3300	60	7	1 3 ≤ 1 3	QUANTITY
ejpam-3300	60	8	3∑	CARDINAL
ejpam-3300	62	1	‖an‖ ≤	PERSON
ejpam-3300	64	1	‖an‖ ∀a1	PERSON
ejpam-3300	64	2	a2	ORG
ejpam-3300	67	1	0	CARDINAL
ejpam-3300	67	2	2	CARDINAL
ejpam-3300	69	1	1−	CARDINAL
ejpam-3300	69	2	‖a2‖+	PERSON
ejpam-3300	70	1	‖an‖	PERSON
ejpam-3300	71	1	‖an‖	PERSON
ejpam-3300	71	2	1−p	CARDINAL
ejpam-3300	71	3	1−	CARDINAL
ejpam-3300	71	4	‖a2‖+	PERSON
ejpam-3300	72	1	‖an‖	PERSON
ejpam-3300	76	1	‖an‖	PERSON
ejpam-3300	79	1	0	CARDINAL
ejpam-3300	79	2	2	CARDINAL
ejpam-3300	80	1	1.2	CARDINAL
ejpam-3300	81	1	agm	ORG
ejpam-3300	81	2	second	ORDINAL
ejpam-3300	81	3	agm	ORG
ejpam-3300	81	4	second	ORDINAL
ejpam-3300	82	1	agm	ORG
ejpam-3300	83	1	2	CARDINAL
ejpam-3300	84	1	∀ p ∈	ORG
ejpam-3300	85	1	0	CARDINAL
ejpam-3300	85	2	1	CARDINAL
ejpam-3300	86	1	6	CARDINAL
ejpam-3300	87	1	7	CARDINAL
ejpam-3300	87	2	7	CARDINAL
ejpam-3300	87	3	6	CARDINAL
ejpam-3300	89	1	8)	CARDINAL
ejpam-3300	89	2	1 2	CARDINAL
ejpam-3300	89	3	1 2 ≤ 1 2	MONEY
ejpam-3300	89	4	1 2 ≤ 1 2	QUANTITY
ejpam-3300	90	1	‖a2‖+	PERSON
ejpam-3300	90	2	a2	ORG
ejpam-3300	91	1	2,∞	CARDINAL
ejpam-3300	91	2	b. barnes et al	PERSON
ejpam-3300	92	1	j. pure	PERSON
ejpam-3300	92	2	11	CARDINAL
ejpam-3300	92	3	4	CARDINAL
ejpam-3300	92	4	2018	DATE
ejpam-3300	92	5	1100-1107 1104	DATE
ejpam-3300	92	6	‖a2‖+	PERSON
ejpam-3300	94	1	9	CARDINAL
ejpam-3300	95	1	10	CARDINAL
ejpam-3300	95	2	10	CARDINAL
ejpam-3300	95	3	9	CARDINAL
ejpam-3300	95	4	‖a2‖+	PERSON
ejpam-3300	96	1	1 3	CARDINAL
ejpam-3300	97	1	‖a2‖+	PERSON
ejpam-3300	97	2	3∏	CARDINAL
ejpam-3300	97	3	1 3 ≤ 1 3	QUANTITY
ejpam-3300	97	4	3∑	CARDINAL
ejpam-3300	98	1	‖a2‖+	PERSON
ejpam-3300	99	1	‖an‖ ≤ ‖a1‖‖a2‖	PERSON
ejpam-3300	100	1	‖an‖ ∀a1	PERSON
ejpam-3300	100	2	a2	ORG
ejpam-3300	102	1	2,∞	CARDINAL
ejpam-3300	102	2	‖a2‖+	PERSON
ejpam-3300	104	1	‖an‖	PERSON
ejpam-3300	105	1	11	CARDINAL
ejpam-3300	106	1	‖an‖	PERSON
ejpam-3300	108	1	‖an‖	PERSON
ejpam-3300	109	1	12	CARDINAL
ejpam-3300	109	2	12	CARDINAL
ejpam-3300	109	3	11	CARDINAL
ejpam-3300	110	1	‖an‖	PERSON
ejpam-3300	111	1	‖a2‖+	PERSON
ejpam-3300	112	1	‖an‖	PERSON
ejpam-3300	116	1	2,∞	CARDINAL
ejpam-3300	117	1	1.3	CARDINAL
ejpam-3300	118	1	agm	ORG
ejpam-3300	118	2	agm	ORG
ejpam-3300	119	1	2	CARDINAL
ejpam-3300	120	1	2	CARDINAL
ejpam-3300	120	2	0	CARDINAL
ejpam-3300	120	3	1 2 ≤ 1 2	MONEY
ejpam-3300	121	1	b. barnes et al	PERSON
ejpam-3300	122	1	j. pure	PERSON
ejpam-3300	122	2	11	CARDINAL
ejpam-3300	122	3	4	CARDINAL
ejpam-3300	122	4	2018	DATE
ejpam-3300	122	5	1100-1107	DATE
ejpam-3300	122	6	1 2	CARDINAL
ejpam-3300	122	7	1 2 ≤ 1 2	QUANTITY
ejpam-3300	123	1	three	CARDINAL
ejpam-3300	123	2	2	CARDINAL
ejpam-3300	123	3	0 ⇒ −2	MONEY
ejpam-3300	126	1	3	CARDINAL
ejpam-3300	126	2	3	CARDINAL
ejpam-3300	126	3	1 2	CARDINAL
ejpam-3300	126	4	3	CARDINAL
ejpam-3300	127	1	3	CARDINAL
ejpam-3300	127	2	1 2	CARDINAL
ejpam-3300	128	1	3	CARDINAL
ejpam-3300	128	2	4 3	CARDINAL
ejpam-3300	128	3	2	CARDINAL
ejpam-3300	128	4	‖a2‖+	PERSON
ejpam-3300	128	5	4 3	CARDINAL
ejpam-3300	128	6	1 4 ≤ 1 3	MONEY
ejpam-3300	128	7	‖a2‖+	PERSON
ejpam-3300	129	1	13	CARDINAL
ejpam-3300	130	1	1 3	CARDINAL
ejpam-3300	130	2	1 4	DATE
ejpam-3300	131	1	14	CARDINAL
ejpam-3300	131	2	13	CARDINAL
ejpam-3300	131	3	14	CARDINAL
ejpam-3300	131	4	3∏	CARDINAL
ejpam-3300	131	5	1 3 ≤ 1 3	QUANTITY
ejpam-3300	131	6	3∑	CARDINAL
ejpam-3300	132	1	2	CARDINAL
ejpam-3300	132	2	0	CARDINAL
ejpam-3300	135	1	4	CARDINAL
ejpam-3300	136	1	4	CARDINAL
ejpam-3300	136	2	4	CARDINAL
ejpam-3300	137	1	1 2	CARDINAL
ejpam-3300	137	2	≤ 1 4	CARDINAL
ejpam-3300	137	3	‖a2‖+	PERSON
ejpam-3300	137	4	1 4 ≤ 1 4	MONEY
ejpam-3300	137	5	‖a2‖+	PERSON
ejpam-3300	137	6	1106	CARDINAL
ejpam-3300	137	7	4∏	CARDINAL
ejpam-3300	141	1	2.	CARDINAL
ejpam-3300	141	2	agm	ORG
ejpam-3300	142	1	1	CARDINAL
ejpam-3300	144	1	19	CARDINAL
ejpam-3300	144	2	273	CARDINAL
ejpam-3300	145	1	2	CARDINAL
ejpam-3300	145	2	grabiner j. v. (	PERSON
ejpam-3300	145	3	1997	DATE
ejpam-3300	146	1	newton	GPE
ejpam-3300	148	1	american	NORP
ejpam-3300	148	2	monthly	DATE
ejpam-3300	148	3	104	CARDINAL
ejpam-3300	148	4	393	CARDINAL
ejpam-3300	149	1	3	CARDINAL
ejpam-3300	149	2	mitrinović	ORG
ejpam-3300	149	3	d. s.	PERSON
ejpam-3300	149	4	pec̆arić j. e.	PERSON
ejpam-3300	149	5	a. m.	PERSON
ejpam-3300	149	6	1993	DATE
ejpam-3300	151	1	kluwer	ORG
ejpam-3300	151	2	dordrecht	ORG
ejpam-3300	151	3	1993	DATE
ejpam-3300	151	4	69	CARDINAL
ejpam-3300	152	1	4	CARDINAL
ejpam-3300	152	2	1997	DATE
ejpam-3300	154	1	rocky mountain journal	ORG
ejpam-3300	154	2	27	CARDINAL
ejpam-3300	154	3	663-667	CARDINAL
ejpam-3300	155	1	5	CARDINAL
ejpam-3300	155	2	1982	DATE
ejpam-3300	157	1	13(1	DATE
ejpam-3300	157	2	49-54	DATE
ejpam-3300	158	1	6	CARDINAL
ejpam-3300	158	2	hardy g. h.	PERSON
ejpam-3300	158	3	littlewood j. e.	PERSON
ejpam-3300	158	4	polya g.	PERSON
ejpam-3300	158	5	1978	DATE
ejpam-3300	160	1	london	GPE
ejpam-3300	160	2	new york	GPE
ejpam-3300	160	3	cambridge university press	ORG
ejpam-3300	160	4	1978	DATE
ejpam-3300	161	1	7	CARDINAL
ejpam-3300	161	2	bhatia	PERSON
ejpam-3300	161	3	2006	DATE
ejpam-3300	163	1	413	CARDINAL
ejpam-3300	163	2	355	CARDINAL
ejpam-3300	164	1	8	CARDINAL
ejpam-3300	164	2	zou l.	PERSON
ejpam-3300	164	3	huang y.	PERSON
ejpam-3300	164	4	2014	DATE
ejpam-3300	167	1	158-160	CARDINAL
ejpam-3300	168	1	9	CARDINAL
ejpam-3300	168	2	batbold t.	PERSON
ejpam-3300	168	3	khan m. a.	PERSON
ejpam-3300	168	4	2016	DATE
ejpam-3300	170	1	commun	PERSON
ejpam-3300	171	1	korean	NORP
ejpam-3300	172	1	31(1	CARDINAL
ejpam-3300	172	2	95-100	CARDINAL
ejpam-3300	173	1	1107	DATE
ejpam-3300	173	2	10	CARDINAL
ejpam-3300	173	3	2017	CARDINAL
ejpam-3300	175	1	528	CARDINAL
ejpam-3300	175	2	25	CARDINAL
ejpam-3300	176	1	11	CARDINAL
ejpam-3300	176	2	2017	CARDINAL
ejpam-3300	178	1	konuralp journal	PERSON
ejpam-3300	178	2	5(1	CARDINAL
ejpam-3300	178	3	85-91	CARDINAL
ejpam-3300	179	1	12	CARDINAL
ejpam-3300	179	2	raüssouli m.	PERSON
ejpam-3300	179	3	leazizi f.	PERSON
ejpam-3300	179	4	chergui m.	PERSON
ejpam-3300	179	5	2009	DATE
ejpam-3300	180	1	three	CARDINAL
ejpam-3300	182	1	13	CARDINAL
ejpam-3300	182	2	1989	DATE
ejpam-3300	184	1	longman	ORG
ejpam-3300	184	2	nigeria	GPE
ejpam-3300	185	1	14	CARDINAL
ejpam-3300	185	2	2010	DATE
ejpam-3300	187	1	pearson education, inc	ORG
ejpam-3300	187	2	4th	ORDINAL
ejpam-3300	188	1	15	CARDINAL
ejpam-3300	188	2	barnes b.	PERSON
ejpam-3300	188	3	owusu-ansah	ORG
ejpam-3300	188	4	e. d. j.	PERSON
ejpam-3300	188	5	amponsah s. k.	PERSON
ejpam-3300	188	6	2018	DATE
ejpam-3300	190	1	european journal	ORG
ejpam-3300	190	2	11(2	CARDINAL
ejpam-3300	190	3	375	CARDINAL