id	sid	eid	entity	type
american_scientific_journal-4617	1	1	225	CARDINAL
american_scientific_journal-4617	1	2	american scientific research journal	ORG
american_scientific_journal-4617	1	3	issn	PERSON
american_scientific_journal-4617	1	4	2313	CARDINAL
american_scientific_journal-4617	1	5	2313	CARDINAL
american_scientific_journal-4617	1	6	second	ORDINAL
american_scientific_journal-4617	1	7	linear	ORG
american_scientific_journal-4617	1	8	two	CARDINAL
american_scientific_journal-4617	1	9	bule hora university	ORG
american_scientific_journal-4617	1	10	bule hora 144	PERSON
american_scientific_journal-4617	1	11	ethiopia	GPE
american_scientific_journal-4617	1	12	legendre operational	ORG
american_scientific_journal-4617	1	13	2&5	CARDINAL
american_scientific_journal-4617	1	14	second	ORDINAL
american_scientific_journal-4617	1	15	linear	ORG
american_scientific_journal-4617	1	16	two	CARDINAL
american_scientific_journal-4617	2	1	second	ORDINAL
american_scientific_journal-4617	2	2	two	CARDINAL
american_scientific_journal-4617	4	1	legendre operational	ORG
american_scientific_journal-4617	4	2	linear	ORG
american_scientific_journal-4617	5	1	1	CARDINAL
american_scientific_journal-4617	5	2	1	CARDINAL
american_scientific_journal-4617	5	3	second	ORDINAL
american_scientific_journal-4617	5	4	two	CARDINAL
american_scientific_journal-4617	9	1	american scientific research journal	ORG
american_scientific_journal-4617	9	2	2019	CARDINAL
american_scientific_journal-4617	9	3	51	CARDINAL
american_scientific_journal-4617	9	4	225	CARDINAL
american_scientific_journal-4617	9	5	second	ORDINAL
american_scientific_journal-4617	9	6	linear	ORG
american_scientific_journal-4617	9	7	3	CARDINAL
american_scientific_journal-4617	10	1	second	ORDINAL
american_scientific_journal-4617	10	2	two	CARDINAL
american_scientific_journal-4617	10	3	4	CARDINAL
american_scientific_journal-4617	11	1	two	CARDINAL
american_scientific_journal-4617	11	2	second	ORDINAL
american_scientific_journal-4617	13	1	3	CARDINAL
american_scientific_journal-4617	14	1	4	CARDINAL
american_scientific_journal-4617	14	2	second	ORDINAL
american_scientific_journal-4617	14	3	two	CARDINAL
american_scientific_journal-4617	15	1	6	CARDINAL
american_scientific_journal-4617	15	2	two	CARDINAL
american_scientific_journal-4617	16	1	two	CARDINAL
american_scientific_journal-4617	18	1	+ 1	CARDINAL
american_scientific_journal-4617	18	2	linear	ORG
american_scientific_journal-4617	20	1	8	CARDINAL
american_scientific_journal-4617	20	2	second	ORDINAL
american_scientific_journal-4617	20	3	neumann	ORG
american_scientific_journal-4617	20	4	cauchy linear	ORG
american_scientific_journal-4617	21	1	9	CARDINAL
american_scientific_journal-4617	21	2	second	ORDINAL
american_scientific_journal-4617	21	3	two	CARDINAL
american_scientific_journal-4617	21	4	taylor	PERSON
american_scientific_journal-4617	24	1	second	ORDINAL
american_scientific_journal-4617	24	2	linear	ORG
american_scientific_journal-4617	24	3	two	CARDINAL
american_scientific_journal-4617	26	1	0 ≤	MONEY
american_scientific_journal-4617	26	2	1.1	CARDINAL
american_scientific_journal-4617	27	1	1.2	CARDINAL
american_scientific_journal-4617	28	1	second	ORDINAL
american_scientific_journal-4617	28	2	linear	ORG
american_scientific_journal-4617	28	3	two	CARDINAL
american_scientific_journal-4617	28	4	legendre operational	ORG
american_scientific_journal-4617	30	1	second	ORDINAL
american_scientific_journal-4617	30	2	linear	ORG
american_scientific_journal-4617	30	3	two	CARDINAL
american_scientific_journal-4617	30	4	legendre operational	ORG
american_scientific_journal-4617	31	1	american scientific research journal	ORG
american_scientific_journal-4617	31	2	2019	CARDINAL
american_scientific_journal-4617	31	3	51	CARDINAL
american_scientific_journal-4617	31	4	225	CARDINAL
american_scientific_journal-4617	31	5	•	CARDINAL
american_scientific_journal-4617	31	6	•	CARDINAL
american_scientific_journal-4617	33	1	•	CARDINAL
american_scientific_journal-4617	33	2	section 2 legendre polynomial	LAW
american_scientific_journal-4617	34	1	•	CARDINAL
american_scientific_journal-4617	34	2	section 3	LAW
american_scientific_journal-4617	35	1	•	CARDINAL
american_scientific_journal-4617	35	2	section 4	LAW
american_scientific_journal-4617	36	1	•	CARDINAL
american_scientific_journal-4617	36	2	section 5	DATE
american_scientific_journal-4617	37	1	2	CARDINAL
american_scientific_journal-4617	37	2	legendre	ORG
american_scientific_journal-4617	37	3	legendre	ORG
american_scientific_journal-4617	37	4	5	CARDINAL
american_scientific_journal-4617	38	1	1	CARDINAL
american_scientific_journal-4617	41	1	1,2,3	CARDINAL
american_scientific_journal-4617	42	1	2.1	CARDINAL
american_scientific_journal-4617	42	2	0	CARDINAL
american_scientific_journal-4617	42	3	1	CARDINAL
american_scientific_journal-4617	42	4	legendre	PERSON
american_scientific_journal-4617	42	5	2𝑥𝑥	ORDINAL
american_scientific_journal-4617	43	1	1	CARDINAL
american_scientific_journal-4617	44	1	legendre polynomial	PERSON
american_scientific_journal-4617	46	1	1	CARDINAL
american_scientific_journal-4617	46	2	𝑃𝑃1(𝑥𝑥	DATE
american_scientific_journal-4617	47	1	2𝑥𝑥	ORDINAL
american_scientific_journal-4617	48	1	1,2,3	CARDINAL
american_scientific_journal-4617	49	1	2.2	CARDINAL
american_scientific_journal-4617	50	1	𝑟𝑟−𝑘𝑘	ORG
american_scientific_journal-4617	51	1	2.3	CARDINAL
american_scientific_journal-4617	51	2	𝑃𝑃𝑟𝑟(0	NORP
american_scientific_journal-4617	52	1	1	CARDINAL
american_scientific_journal-4617	52	2	legendre	PERSON
american_scientific_journal-4617	52	3	0	CARDINAL
american_scientific_journal-4617	52	4	2.4	CARDINAL
american_scientific_journal-4617	52	5	∈	ORG
american_scientific_journal-4617	53	1	2.5	CARDINAL
american_scientific_journal-4617	53	2	american scientific research journal	ORG
american_scientific_journal-4617	53	3	2019	CARDINAL
american_scientific_journal-4617	53	4	51	CARDINAL
american_scientific_journal-4617	53	5	225	CARDINAL
american_scientific_journal-4617	53	6	2𝑟𝑟 + 1)∫	DATE
american_scientific_journal-4617	53	7	𝑃𝑃𝑟𝑟(𝑥𝑥)𝑑𝑑𝑥𝑥	GPE
american_scientific_journal-4617	53	8	1,2,3	CARDINAL
american_scientific_journal-4617	54	1	2.6	CARDINAL
american_scientific_journal-4617	54	2	2.5	CARDINAL
american_scientific_journal-4617	54	3	𝑦𝑦𝑚𝑚(𝑥𝑥	PERSON
american_scientific_journal-4617	55	1	2.7	CARDINAL
american_scientific_journal-4617	55	2	𝐶𝐶𝑇𝑇	ORG
american_scientific_journal-4617	58	1	legendre coefficient	PERSON
american_scientific_journal-4617	60	1	𝑝𝑝0(𝑥𝑥	ORG
american_scientific_journal-4617	60	2	𝑝𝑝1(𝑥𝑥	ORG
american_scientific_journal-4617	60	3	legendre	PERSON
american_scientific_journal-4617	61	1	𝑑𝑑𝑥𝑥 = 𝐷𝐷(1)𝜑𝜑(𝑥𝑥	PERSON
american_scientific_journal-4617	61	2	2.8	CARDINAL
american_scientific_journal-4617	61	3	𝐷𝐷(1	PERSON
american_scientific_journal-4617	61	4	𝐷𝐷(1	PERSON
american_scientific_journal-4617	61	5	2(2𝑗𝑗 + 1	DATE
american_scientific_journal-4617	62	1	0	CARDINAL
american_scientific_journal-4617	62	2	1,3	CARDINAL
american_scientific_journal-4617	62	3	1,3	CARDINAL
american_scientific_journal-4617	62	4	𝐷𝐷(1	PERSON
american_scientific_journal-4617	62	5	2 ⎝	MONEY
american_scientific_journal-4617	62	6	⎜ ⎜ ⎜ ⎜ ⎜ ⎜ ⎜	PERSON
american_scientific_journal-4617	63	1	0	CARDINAL
american_scientific_journal-4617	63	2	1	CARDINAL
american_scientific_journal-4617	64	1	0	CARDINAL
american_scientific_journal-4617	64	2	3	CARDINAL
american_scientific_journal-4617	65	1	0	CARDINAL
american_scientific_journal-4617	66	1	0	CARDINAL
american_scientific_journal-4617	67	1	1	CARDINAL
american_scientific_journal-4617	67	2	5	CARDINAL
american_scientific_journal-4617	67	3	0	CARDINAL
american_scientific_journal-4617	67	4	3	CARDINAL
american_scientific_journal-4617	67	5	0	CARDINAL
american_scientific_journal-4617	68	1	1	CARDINAL
american_scientific_journal-4617	68	2	2.9	CARDINAL
american_scientific_journal-4617	68	3	2.8	CARDINAL
american_scientific_journal-4617	68	4	𝑑𝑑𝑛𝑛𝑑𝑑(𝑥𝑥	ORG
american_scientific_journal-4617	68	5	1	CARDINAL
american_scientific_journal-4617	68	6	2	DATE
american_scientific_journal-4617	68	7	3	DATE
american_scientific_journal-4617	68	8	2.10	CARDINAL
american_scientific_journal-4617	69	1	𝐷𝐷(1))𝑛𝑛	ORG
american_scientific_journal-4617	70	1	3	CARDINAL
american_scientific_journal-4617	70	2	second	ORDINAL
american_scientific_journal-4617	70	3	two	CARDINAL
american_scientific_journal-4617	70	4	american scientific research journal	ORG
american_scientific_journal-4617	70	5	2019	CARDINAL
american_scientific_journal-4617	70	6	51	CARDINAL
american_scientific_journal-4617	70	7	225	CARDINAL
american_scientific_journal-4617	70	8	+ 𝑝𝑝(𝑥𝑥)𝑦𝑦′(𝑥𝑥	DATE
american_scientific_journal-4617	71	1	0 ≤	MONEY
american_scientific_journal-4617	72	1	2	CARDINAL
american_scientific_journal-4617	72	2	legendre	PERSON
american_scientific_journal-4617	73	1	3.1	CARDINAL
american_scientific_journal-4617	74	1	3.2	CARDINAL
american_scientific_journal-4617	74	2	3.3	CARDINAL
american_scientific_journal-4617	75	1	3.4	CARDINAL
american_scientific_journal-4617	75	2	𝐶𝐶	LOC
american_scientific_journal-4617	78	1	1.1	CARDINAL
american_scientific_journal-4617	79	1	≈ 𝐺𝐺𝑇𝑇𝜑𝜑(𝑥𝑥	PERCENT
american_scientific_journal-4617	79	2	3.5	CARDINAL
american_scientific_journal-4617	79	3	3.5	CARDINAL
american_scientific_journal-4617	79	4	3.6	CARDINAL
american_scientific_journal-4617	79	5	2	CARDINAL
american_scientific_journal-4617	79	6	5	CARDINAL
american_scientific_journal-4617	79	7	3.5	CARDINAL
american_scientific_journal-4617	79	8	〈𝑅𝑅𝑚𝑚(𝑥𝑥),𝑃𝑃𝑟𝑟(𝑥𝑥	PERSON
american_scientific_journal-4617	79	9	0	CARDINAL
american_scientific_journal-4617	80	1	0	CARDINAL
american_scientific_journal-4617	80	2	0,1,2	CARDINAL
american_scientific_journal-4617	82	1	2	CARDINAL
american_scientific_journal-4617	82	2	3.7	CARDINAL
american_scientific_journal-4617	82	3	𝐶𝐶𝑇𝑇𝜑𝜑(0	ORG
american_scientific_journal-4617	82	4	𝐶𝐶𝑇𝑇𝜑𝜑(1	PERSON
american_scientific_journal-4617	82	5	3.8	CARDINAL
american_scientific_journal-4617	82	6	3.7	CARDINAL
american_scientific_journal-4617	82	7	3.8	CARDINAL
american_scientific_journal-4617	82	8	+ 1 linear	DATE
american_scientific_journal-4617	83	1	𝐶𝐶	EVENT
american_scientific_journal-4617	84	1	4	CARDINAL
american_scientific_journal-4617	84	2	1	CARDINAL
american_scientific_journal-4617	84	3	second	ORDINAL
american_scientific_journal-4617	85	1	4.1	CARDINAL
american_scientific_journal-4617	85	2	american scientific research journal	ORG
american_scientific_journal-4617	85	3	2019	CARDINAL
american_scientific_journal-4617	85	4	51	CARDINAL
american_scientific_journal-4617	85	5	225	CARDINAL
american_scientific_journal-4617	86	1	0	CARDINAL
american_scientific_journal-4617	86	2	1	CARDINAL
american_scientific_journal-4617	86	3	4.2	CARDINAL
american_scientific_journal-4617	87	1	4.2	CARDINAL
american_scientific_journal-4617	87	2	2.7	CARDINAL
american_scientific_journal-4617	88	1	0	CARDINAL
american_scientific_journal-4617	89	1	1	CARDINAL
american_scientific_journal-4617	89	2	4.3	CARDINAL
american_scientific_journal-4617	89	3	2	CARDINAL
american_scientific_journal-4617	89	4	3.7	CARDINAL
american_scientific_journal-4617	90	1	+ 13𝑐𝑐2	DATE
american_scientific_journal-4617	90	2	1 2	CARDINAL
american_scientific_journal-4617	90	3	4.4	CARDINAL
american_scientific_journal-4617	90	4	3	CARDINAL
american_scientific_journal-4617	90	5	4.3	CARDINAL
american_scientific_journal-4617	90	6	4.4	CARDINAL
american_scientific_journal-4617	90	7	1 2	CARDINAL
american_scientific_journal-4617	90	8	1 2	CARDINAL
american_scientific_journal-4617	91	1	0	CARDINAL
american_scientific_journal-4617	93	1	1	CARDINAL
american_scientific_journal-4617	93	2	1	CARDINAL
american_scientific_journal-4617	93	3	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	93	4	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	93	5	fdm american	NORP
american_scientific_journal-4617	93	6	2019	CARDINAL
american_scientific_journal-4617	93	7	51	CARDINAL
american_scientific_journal-4617	93	8	225	CARDINAL
american_scientific_journal-4617	93	9	231	CARDINAL
american_scientific_journal-4617	93	10	2	CARDINAL
american_scientific_journal-4617	93	11	second	ORDINAL
american_scientific_journal-4617	94	1	4.5	CARDINAL
american_scientific_journal-4617	94	2	1	CARDINAL
american_scientific_journal-4617	94	3	−1	DATE
american_scientific_journal-4617	94	4	4.6	CARDINAL
american_scientific_journal-4617	95	1	4.6	CARDINAL
american_scientific_journal-4617	95	2	2.7	CARDINAL
american_scientific_journal-4617	96	1	1	CARDINAL
american_scientific_journal-4617	96	2	−1	DATE
american_scientific_journal-4617	96	3	4.7	CARDINAL
american_scientific_journal-4617	96	4	2	CARDINAL
american_scientific_journal-4617	96	5	3.7	CARDINAL
american_scientific_journal-4617	97	1	4.8	CARDINAL
american_scientific_journal-4617	97	2	3	CARDINAL
american_scientific_journal-4617	97	3	4.7	CARDINAL
american_scientific_journal-4617	97	4	4.8	CARDINAL
american_scientific_journal-4617	97	5	0	CARDINAL
american_scientific_journal-4617	97	6	−1	DATE
american_scientific_journal-4617	98	1	0	CARDINAL
american_scientific_journal-4617	101	1	+ 1	CARDINAL
american_scientific_journal-4617	101	2	2	CARDINAL
american_scientific_journal-4617	101	3	2	CARDINAL
american_scientific_journal-4617	101	4	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	101	5	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	101	6	fdm american	NORP
american_scientific_journal-4617	101	7	2019	CARDINAL
american_scientific_journal-4617	101	8	51	CARDINAL
american_scientific_journal-4617	101	9	225	CARDINAL
american_scientific_journal-4617	101	10	232	CARDINAL
american_scientific_journal-4617	101	11	3	CARDINAL
american_scientific_journal-4617	101	12	4.9	CARDINAL
american_scientific_journal-4617	101	13	0	CARDINAL
american_scientific_journal-4617	101	14	1	CARDINAL
american_scientific_journal-4617	101	15	4.10	CARDINAL
american_scientific_journal-4617	103	1	4.10	CARDINAL
american_scientific_journal-4617	103	2	2.7	CARDINAL
american_scientific_journal-4617	104	1	0	CARDINAL
american_scientific_journal-4617	106	1	1	CARDINAL
american_scientific_journal-4617	106	2	4.11	CARDINAL
american_scientific_journal-4617	106	3	2	CARDINAL
american_scientific_journal-4617	106	4	3.7	CARDINAL
american_scientific_journal-4617	106	5	𝑐𝑐02 + 1 3	PRODUCT
american_scientific_journal-4617	106	6	𝑐𝑐12 + 1 5	PRODUCT
american_scientific_journal-4617	106	7	𝑐𝑐22 + 12𝑐𝑐2	PRODUCT
american_scientific_journal-4617	106	8	11 5	DATE
american_scientific_journal-4617	106	9	4.12	CARDINAL
american_scientific_journal-4617	106	10	3	CARDINAL
american_scientific_journal-4617	106	11	4.11	CARDINAL
american_scientific_journal-4617	106	12	4.12	CARDINAL
american_scientific_journal-4617	106	13	1 3	DATE
american_scientific_journal-4617	108	1	1 2	CARDINAL
american_scientific_journal-4617	109	1	1 6	CARDINAL
american_scientific_journal-4617	111	1	3	CARDINAL
american_scientific_journal-4617	111	2	3	CARDINAL
american_scientific_journal-4617	111	3	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	111	4	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	111	5	american scientific research journal	ORG
american_scientific_journal-4617	111	6	2019	CARDINAL
american_scientific_journal-4617	111	7	51	CARDINAL
american_scientific_journal-4617	111	8	225	CARDINAL
american_scientific_journal-4617	111	9	4	CARDINAL
american_scientific_journal-4617	112	1	2 + 2𝑥𝑥	DATE
american_scientific_journal-4617	112	2	+ 𝑥𝑥4	PERSON
american_scientific_journal-4617	112	3	4.13	CARDINAL
american_scientific_journal-4617	112	4	0	CARDINAL
american_scientific_journal-4617	112	5	1	CARDINAL
american_scientific_journal-4617	112	6	4.14	CARDINAL
american_scientific_journal-4617	114	1	4.14	CARDINAL
american_scientific_journal-4617	114	2	2.7	CARDINAL
american_scientific_journal-4617	115	1	0	CARDINAL
american_scientific_journal-4617	116	1	1	CARDINAL
american_scientific_journal-4617	116	2	4.15	CARDINAL
american_scientific_journal-4617	116	3	2	CARDINAL
american_scientific_journal-4617	116	4	3.7	CARDINAL
american_scientific_journal-4617	116	5	𝑐𝑐02 + 1 3	PRODUCT
american_scientific_journal-4617	116	6	𝑐𝑐12 + 1 5 𝑐𝑐22 − 2𝑐𝑐1	PRODUCT
american_scientific_journal-4617	117	1	17 10	DATE
american_scientific_journal-4617	117	2	4.16	CARDINAL
american_scientific_journal-4617	117	3	3	CARDINAL
american_scientific_journal-4617	117	4	4.15	CARDINAL
american_scientific_journal-4617	117	5	4.16	CARDINAL
american_scientific_journal-4617	117	6	1 3	DATE
american_scientific_journal-4617	117	7	1 2	CARDINAL
american_scientific_journal-4617	118	1	1 6	CARDINAL
american_scientific_journal-4617	120	1	4	CARDINAL
american_scientific_journal-4617	120	2	4 5	CARDINAL
american_scientific_journal-4617	120	3	1,3 & 4	DATE
american_scientific_journal-4617	120	4	2	CARDINAL
american_scientific_journal-4617	120	5	first	ORDINAL
american_scientific_journal-4617	120	6	legendre	PERSON
american_scientific_journal-4617	122	1	2	CARDINAL
american_scientific_journal-4617	122	2	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	122	3	0.4 0.5 0.6	QUANTITY
american_scientific_journal-4617	122	4	american scientific research journal	ORG
american_scientific_journal-4617	122	5	2019	CARDINAL
american_scientific_journal-4617	122	6	51	CARDINAL
american_scientific_journal-4617	122	7	225	CARDINAL
american_scientific_journal-4617	122	8	234	CARDINAL
american_scientific_journal-4617	124	1	second	ORDINAL
american_scientific_journal-4617	124	2	linear	ORG
american_scientific_journal-4617	124	3	two	CARDINAL
american_scientific_journal-4617	127	1	1	CARDINAL
american_scientific_journal-4617	127	2	j. douglas faires & richard l.burden	ORG
american_scientific_journal-4617	129	1	brooks cole	PERSON
american_scientific_journal-4617	129	2	third	ORDINAL
american_scientific_journal-4617	129	3	june 18, 2002	DATE
american_scientific_journal-4617	130	1	2	CARDINAL
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