id	sid	eid	entity	type
iajs-3265	1	1	ihjpas	PERSON
iajs-3265	2	1	36	CARDINAL
iajs-3265	2	2	4	CARDINAL
iajs-3265	2	3	2023 338	CARDINAL
iajs-3265	2	4	4.0	CARDINAL
iajs-3265	2	5	ecm	ORG
iajs-3265	3	1	bernoulli	PERSON
iajs-3265	4	1	mathematica	PERSON
iajs-3265	4	2	12	CARDINAL
iajs-3265	5	1	three	CARDINAL
iajs-3265	5	2	darcy-brinkman	ORG
iajs-3265	7	1	ecm	PERSON
iajs-3265	8	1	darcy-brinkman	ORG
iajs-3265	8	2	falkner-skan	PERSON
iajs-3265	8	3	bernoulli polynomials	ORG
iajs-3265	9	1	03	CARDINAL
iajs-3265	9	2	2022	CARDINAL
iajs-3265	9	3	14	CARDINAL
iajs-3265	9	4	october 2023	DATE
iajs-3265	9	5	al-haitham	ORG
iajs-3265	9	6	applied sciences journal	ORG
iajs-3265	9	7	othman mahdi salih* department	PERSON
iajs-3265	9	8	al-haitham	ORG
iajs-3265	9	9	university of baghdad	ORG
iajs-3265	9	10	baghdad	GPE
iajs-3265	9	11	iraq	GPE
iajs-3265	10	1	majeed a. al-jawary department	PERSON
iajs-3265	10	2	al-haitham	ORG
iajs-3265	10	3	university of baghdad	ORG
iajs-3265	10	4	baghdad	GPE
iajs-3265	10	5	iraq	GPE
iajs-3265	11	1	mustafa turkyilmazoglu	PERSON
iajs-3265	11	2	ankara	GPE
iajs-3265	11	3	turkey.	GPE
iajs-3265	12	1	china medical university hospital	ORG
iajs-3265	12	2	china medical university	ORG
iajs-3265	12	3	taichung	GPE
iajs-3265	12	4	taiwan	GPE
iajs-3265	13	1	turkyilm@hacettepe.edu.tr	ORG
iajs-3265	13	2	mailto:majeed.a.w@ihcoedu.uobaghdad.edu.iq mailto:turkyilm@hacettepe.edu.tr mailto:turkyilm@hacettepe.edu.tr ihjpas	PERSON
iajs-3265	14	1	36	CARDINAL
iajs-3265	14	2	4	CARDINAL
iajs-3265	14	3	2023 339 1	DATE
iajs-3265	15	1	1	CARDINAL
iajs-3265	16	1	2	CARDINAL
iajs-3265	18	1	3	CARDINAL
iajs-3265	19	1	5	CARDINAL
iajs-3265	20	1	6	CARDINAL
iajs-3265	20	2	8	CARDINAL
iajs-3265	20	3	9	CARDINAL
iajs-3265	20	4	10	CARDINAL
iajs-3265	20	5	11	CARDINAL
iajs-3265	20	6	12	CARDINAL
iajs-3265	22	1	13	CARDINAL
iajs-3265	22	2	daftardar-jafari	ORG
iajs-3265	22	3	jeffery-hamel	PERSON
iajs-3265	24	1	14	CARDINAL
iajs-3265	24	2	adm	ORG
iajs-3265	24	3	12𝑡ℎ-order	CARDINAL
iajs-3265	25	1	singh	GPE
iajs-3265	26	1	15	CARDINAL
iajs-3265	28	1	16	CARDINAL
iajs-3265	28	2	legendre polynomials	ORG
iajs-3265	29	1	gürbüz et al	PERSON
iajs-3265	30	1	17	CARDINAL
iajs-3265	30	2	second	ORDINAL
iajs-3265	30	3	18-23	CARDINAL
iajs-3265	31	1	recent years	DATE
iajs-3265	34	1	24	CARDINAL
iajs-3265	36	1	25	CARDINAL
iajs-3265	36	2	26	CARDINAL
iajs-3265	36	3	27	CARDINAL
iajs-3265	36	4	28	CARDINAL
iajs-3265	37	1	29	CARDINAL
iajs-3265	37	2	ecm	ORG
iajs-3265	37	3	29	CARDINAL
iajs-3265	37	4	fredholm	GPE
iajs-3265	37	5	30	CARDINAL
iajs-3265	37	6	31	CARDINAL
iajs-3265	37	7	32	CARDINAL
iajs-3265	37	8	33	CARDINAL
iajs-3265	40	1	ihjpas	PERSON
iajs-3265	41	1	36	CARDINAL
iajs-3265	41	2	4	CARDINAL
iajs-3265	41	3	2023 340	CARDINAL
iajs-3265	41	4	ecm	ORG
iajs-3265	41	5	three	CARDINAL
iajs-3265	42	1	ecm	ORG
iajs-3265	42	2	chebyshev, bernoulli	ORG
iajs-3265	44	1	two	CARDINAL
iajs-3265	44	2	three	CARDINAL
iajs-3265	45	1	three	CARDINAL
iajs-3265	46	1	section four	LAW
iajs-3265	46	2	ecm	PERSON
iajs-3265	46	3	three	CARDINAL
iajs-3265	47	1	five	CARDINAL
iajs-3265	48	1	2	CARDINAL
iajs-3265	48	2	2.1	CARDINAL
iajs-3265	48	3	darcy-brinkman	ORG
iajs-3265	48	4	34	CARDINAL
iajs-3265	48	5	1	CARDINAL
iajs-3265	48	6	1	CARDINAL
iajs-3265	48	7	35	CARDINAL
iajs-3265	50	1	𝑦(𝑥	ORG
iajs-3265	50	2	0	CARDINAL
iajs-3265	50	3	0	DATE
iajs-3265	51	1	36	CARDINAL
iajs-3265	54	1	0	CARDINAL
iajs-3265	54	2	1	CARDINAL
iajs-3265	54	3	0	CARDINAL
iajs-3265	55	1	0	CARDINAL
iajs-3265	56	1	2	CARDINAL
iajs-3265	57	1	darcy-brinkman	ORG
iajs-3265	57	2	37	CARDINAL
iajs-3265	58	1	38	CARDINAL
iajs-3265	58	2	36	CARDINAL
iajs-3265	58	3	34	CARDINAL
iajs-3265	60	1	39	CARDINAL
iajs-3265	62	1	35	CARDINAL
iajs-3265	64	1	40	CARDINAL
iajs-3265	65	1	ihjpas	PERSON
iajs-3265	66	1	36	CARDINAL
iajs-3265	66	2	4	CARDINAL
iajs-3265	66	3	2023 341 2.2	QUANTITY
iajs-3265	66	4	third	ORDINAL
iajs-3265	66	5	two	CARDINAL
iajs-3265	67	1	41	CARDINAL
iajs-3265	67	2	𝑦′′′(𝑥	PERSON
iajs-3265	67	3	+ 1 2 𝑦(𝑥	DATE
iajs-3265	67	4	0	CARDINAL
iajs-3265	67	5	3	CARDINAL
iajs-3265	67	6	0	CARDINAL
iajs-3265	67	7	1	CARDINAL
iajs-3265	67	8	4	CARDINAL
iajs-3265	67	9	second	ORDINAL
iajs-3265	67	10	𝑦(𝑥	ORG
iajs-3265	67	11	zero	CARDINAL
iajs-3265	69	1	42	CARDINAL
iajs-3265	70	1	0	CARDINAL
iajs-3265	70	2	0	CARDINAL
iajs-3265	70	3	𝑦′′(0	ORG
iajs-3265	71	1	5	CARDINAL
iajs-3265	71	2	0.3320573	CARDINAL
iajs-3265	71	3	43	CARDINAL
iajs-3265	72	1	45	CARDINAL
iajs-3265	72	2	46	CARDINAL
iajs-3265	72	3	47	CARDINAL
iajs-3265	72	4	48	CARDINAL
iajs-3265	74	1	42	CARDINAL
iajs-3265	75	1	49	CARDINAL
iajs-3265	76	1	2.3	CARDINAL
iajs-3265	76	2	50	CARDINAL
iajs-3265	77	1	one	CARDINAL
iajs-3265	78	1	falkner	PERSON
iajs-3265	78	2	skan	LANGUAGE
iajs-3265	78	3	1931[51	CARDINAL
iajs-3265	79	1	20	CARDINAL
iajs-3265	80	1	third	ORDINAL
iajs-3265	80	2	52	CARDINAL
iajs-3265	80	3	+ 𝑘𝑦(𝑥	GPE
iajs-3265	81	1	0	CARDINAL
iajs-3265	81	2	6	CARDINAL
iajs-3265	81	3	0	CARDINAL
iajs-3265	82	1	1	CARDINAL
iajs-3265	82	2	7	CARDINAL
iajs-3265	82	3	1	CARDINAL
iajs-3265	83	1	6	CARDINAL
iajs-3265	83	2	1 2	DATE
iajs-3265	83	3	1 2	CARDINAL
iajs-3265	83	4	1	CARDINAL
iajs-3265	83	5	1	CARDINAL
iajs-3265	83	6	20	CARDINAL
iajs-3265	85	1	−0.832666	PERSON
iajs-3265	85	2	53	CARDINAL
iajs-3265	86	1	0	CARDINAL
iajs-3265	87	1	1	CARDINAL
iajs-3265	87	2	𝑦′′(0	ORG
iajs-3265	88	1	−0.832666	PERSON
iajs-3265	89	1	8)	CARDINAL
iajs-3265	90	1	36	CARDINAL
iajs-3265	90	2	4	CARDINAL
iajs-3265	90	3	2023 342	CARDINAL
iajs-3265	90	4	54	CARDINAL
iajs-3265	90	5	55	CARDINAL
iajs-3265	90	6	56	CARDINAL
iajs-3265	90	7	57	CARDINAL
iajs-3265	90	8	58	CARDINAL
iajs-3265	90	9	59	CARDINAL
iajs-3265	90	10	60	CARDINAL
iajs-3265	90	11	61	CARDINAL
iajs-3265	91	1	3	CARDINAL
iajs-3265	92	1	ecm	ORG
iajs-3265	93	1	3.1	CARDINAL
iajs-3265	93	2	ecm	ORG
iajs-3265	93	3	29	CARDINAL
iajs-3265	93	4	𝑦′	ORG
iajs-3265	93	5	𝑦′′	PRODUCT
iajs-3265	94	1	9	CARDINAL
iajs-3265	95	1	0 ≤	MONEY
iajs-3265	95	2	10	CARDINAL
iajs-3265	95	3	0 ≤	MONEY
iajs-3265	96	1	1	CARDINAL
iajs-3265	97	1	11	CARDINAL
iajs-3265	97	2	𝑓(𝑥	PERSON
iajs-3265	98	1	9	CARDINAL
iajs-3265	98	2	10	CARDINAL
iajs-3265	98	3	11	CARDINAL
iajs-3265	99	1	𝑛𝑡ℎ-order functional series	ORG
iajs-3265	99	2	𝑦(𝑥	ORG
iajs-3265	100	1	12	CARDINAL
iajs-3265	101	1	1	CARDINAL
iajs-3265	104	1	𝜳′′(𝑥	PERSON
iajs-3265	105	1	𝜳(𝑛)(𝑥	PERSON
iajs-3265	107	1	0 1	CARDINAL
iajs-3265	107	2	0	CARDINAL
iajs-3265	107	3	0	CARDINAL
iajs-3265	107	4	𝑦(𝑥	ORG
iajs-3265	108	1	1	CARDINAL
iajs-3265	109	1	13	CARDINAL
iajs-3265	109	2	12	CARDINAL
iajs-3265	109	3	13	CARDINAL
iajs-3265	109	4	9	CARDINAL
iajs-3265	109	5	10	CARDINAL
iajs-3265	109	6	11	CARDINAL
iajs-3265	109	7	14	CARDINAL
iajs-3265	109	8	0 ≤	MONEY
iajs-3265	109	9	15	CARDINAL
iajs-3265	109	10	𝜳(𝑏	ORG
iajs-3265	109	11	0 ≤	MONEY
iajs-3265	110	1	1	CARDINAL
iajs-3265	111	1	16	CARDINAL
iajs-3265	111	2	ihjpas	PERSON
iajs-3265	112	1	36	CARDINAL
iajs-3265	112	2	4	CARDINAL
iajs-3265	112	3	2023 343	CARDINAL
iajs-3265	112	4	1 0	DATE
iajs-3265	113	1	17	CARDINAL
iajs-3265	113	2	𝛺0	ORG
iajs-3265	113	3	𝛺1	ORG
iajs-3265	113	4	0 ≤	MONEY
iajs-3265	113	5	29	CARDINAL
iajs-3265	114	1	14	CARDINAL
iajs-3265	114	2	17	CARDINAL
iajs-3265	114	3	18	CARDINAL
iajs-3265	114	4	18	CARDINAL
iajs-3265	114	5	〈𝛺𝑖	PERSON
iajs-3265	114	6	〈𝛺𝑖	PERSON
iajs-3265	114	7	0 ≤	MONEY
iajs-3265	114	8	19	CARDINAL
iajs-3265	114	9	15	CARDINAL
iajs-3265	114	10	16	CARDINAL
iajs-3265	115	1	(𝑛 + 1	DATE
iajs-3265	118	1	12	CARDINAL
iajs-3265	118	2	9	CARDINAL
iajs-3265	119	1	3.2	CARDINAL
iajs-3265	119	2	first	ORDINAL
iajs-3265	120	1	2𝑘	CARDINAL
iajs-3265	122	1	2𝑘	CARDINAL
iajs-3265	123	1	𝑦(𝑥	ORG
iajs-3265	123	2	the (𝑛 + 1)-terms	ORG
iajs-3265	123	3	first	ORDINAL
iajs-3265	123	4	10	CARDINAL
iajs-3265	123	5	21	CARDINAL
iajs-3265	124	1	𝑻1(𝑥	GPE
iajs-3265	126	1	first	ORDINAL
iajs-3265	128	1	𝜳′′(𝑥	PERSON
iajs-3265	129	1	𝑩𝑻	ORG
iajs-3265	129	2	2	CARDINAL
iajs-3265	129	3	𝜳(𝑛)(𝑥	PERSON
iajs-3265	129	4	𝑩𝑻	ORG
iajs-3265	130	1	𝑩𝑻	ORG
iajs-3265	130	2	∗	CARDINAL
iajs-3265	130	3	𝑩𝑻	ORG
iajs-3265	130	4	2𝑖	CARDINAL
iajs-3265	130	5	1	CARDINAL
iajs-3265	130	6	3	DATE
iajs-3265	130	7	5	DATE
iajs-3265	130	8	1	CARDINAL
iajs-3265	130	9	3	DATE
iajs-3265	130	10	5	DATE
iajs-3265	130	11	2	CARDINAL
iajs-3265	130	12	1	CARDINAL
iajs-3265	130	13	1	CARDINAL
iajs-3265	131	1	ihjpas	PERSON
iajs-3265	132	1	36	CARDINAL
iajs-3265	132	2	4	CARDINAL
iajs-3265	132	3	2023 344	DATE
iajs-3265	132	4	𝑩𝑻	ORG
iajs-3265	132	5	0	CARDINAL
iajs-3265	132	6	1	CARDINAL
iajs-3265	132	7	0	CARDINAL
iajs-3265	132	8	0	CARDINAL
iajs-3265	132	9	3	CARDINAL
iajs-3265	132	10	6	CARDINAL
iajs-3265	132	11	0	CARDINAL
iajs-3265	132	12	8	CARDINAL
iajs-3265	132	13	0	CARDINAL
iajs-3265	132	14	0	CARDINAL
iajs-3265	132	15	0	CARDINAL
iajs-3265	134	1	2(𝑛	CARDINAL
iajs-3265	134	2	1	CARDINAL
iajs-3265	134	3	1	CARDINAL
iajs-3265	134	4	2(𝑛	CARDINAL
iajs-3265	134	5	1	CARDINAL
iajs-3265	134	6	0	CARDINAL
iajs-3265	134	7	2𝑛	CARDINAL
iajs-3265	135	1	2𝑛	CARDINAL
iajs-3265	135	2	0	CARDINAL
iajs-3265	136	1	0	CARDINAL
iajs-3265	136	2	1	CARDINAL
iajs-3265	136	3	0	CARDINAL
iajs-3265	136	4	0	CARDINAL
iajs-3265	136	5	3	CARDINAL
iajs-3265	136	6	6	CARDINAL
iajs-3265	136	7	0	CARDINAL
iajs-3265	136	8	0	CARDINAL
iajs-3265	136	9	0	CARDINAL
iajs-3265	136	10	1	CARDINAL
iajs-3265	136	11	1	CARDINAL
iajs-3265	136	12	2(𝑛	CARDINAL
iajs-3265	136	13	1	CARDINAL
iajs-3265	136	14	0	CARDINAL
iajs-3265	137	1	0	CARDINAL
iajs-3265	138	1	𝑦(𝑥	ORG
iajs-3265	138	2	𝑩𝑻	ORG
iajs-3265	138	3	1	CARDINAL
iajs-3265	139	1	22	CARDINAL
iajs-3265	139	2	3.3	CARDINAL
iajs-3265	142	1	23	CARDINAL
iajs-3265	142	2	= 𝑩𝑖(0	ORG
iajs-3265	142	3	0,1	CARDINAL
iajs-3265	143	1	62	CARDINAL
iajs-3265	143	2	1	CARDINAL
iajs-3265	143	3	first	ORDINAL
iajs-3265	143	4	1	CARDINAL
iajs-3265	143	5	1 2	DATE
iajs-3265	143	6	1 6	DATE
iajs-3265	143	7	1 30	DATE
iajs-3265	143	8	0	CARDINAL
iajs-3265	143	9	1	CARDINAL
iajs-3265	144	1	𝑦(𝑥	ORG
iajs-3265	144	2	44	CARDINAL
iajs-3265	145	1	24	CARDINAL
iajs-3265	146	1	𝑩2(𝑥	ORG
iajs-3265	149	1	𝜳′′(𝑥	PERSON
iajs-3265	150	1	𝑩𝓑 ∗	PERSON
iajs-3265	150	2	2	CARDINAL
iajs-3265	150	3	𝜳(𝑛)(𝑥	PERSON
iajs-3265	151	1	𝑩𝓑 ∗ (𝑛 + 1)×	ORG
iajs-3265	151	2	11	CARDINAL
iajs-3265	152	1	36	CARDINAL
iajs-3265	152	2	4	CARDINAL
iajs-3265	152	3	2023 345	CARDINAL
iajs-3265	152	4	0	CARDINAL
iajs-3265	155	1	0 2	CARDINAL
iajs-3265	156	1	𝑦(𝑥	ORG
iajs-3265	156	2	𝑩𝓑	ORG
iajs-3265	156	3	1	CARDINAL
iajs-3265	156	4	25	CARDINAL
iajs-3265	156	5	3.4	CARDINAL
iajs-3265	156	6	12	CARDINAL
iajs-3265	157	1	𝑘=0	GPE
iajs-3265	157	2	0	CARDINAL
iajs-3265	157	3	26	CARDINAL
iajs-3265	157	4	𝑳𝑛(0	ORG
iajs-3265	157	5	1	CARDINAL
iajs-3265	158	1	first	ORDINAL
iajs-3265	159	1	1	CARDINAL
iajs-3265	160	1	1	CARDINAL
iajs-3265	161	1	1	CARDINAL
iajs-3265	161	2	2	CARDINAL
iajs-3265	162	1	1	CARDINAL
iajs-3265	162	2	3	CARDINAL
iajs-3265	164	1	2	CARDINAL
iajs-3265	164	2	6	CARDINAL
iajs-3265	164	3	𝑦(𝑥	ORG
iajs-3265	164	4	the (𝑛 + 1)-terms	DATE
iajs-3265	164	5	17	CARDINAL
iajs-3265	165	1	27	CARDINAL
iajs-3265	169	1	17	CARDINAL
iajs-3265	170	1	𝜳′′(𝑥	PERSON
iajs-3265	171	1	𝜳(𝑛)(𝑥	PERSON
iajs-3265	172	1	17	CARDINAL
iajs-3265	172	2	0	CARDINAL
iajs-3265	172	3	0	CARDINAL
iajs-3265	173	1	𝑦(𝑥	ORG
iajs-3265	174	1	1	CARDINAL
iajs-3265	175	1	28	CARDINAL
iajs-3265	175	2	4	DATE
iajs-3265	176	1	ecm	PERSON
iajs-3265	176	2	ecm	ORG
iajs-3265	176	3	three	CARDINAL
iajs-3265	176	4	darcy-brinkman	ORG
iajs-3265	177	1	chebyshev, bernoulli	ORG
iajs-3265	177	2	20	CARDINAL
iajs-3265	177	3	23	CARDINAL
iajs-3265	177	4	26	CARDINAL
iajs-3265	178	1	two	CARDINAL
iajs-3265	178	2	ecm	ORG
iajs-3265	179	1	first	ORDINAL
iajs-3265	179	2	𝑦(𝑥	ORG
iajs-3265	179	3	second	ORDINAL
iajs-3265	179	4	18	CARDINAL
iajs-3265	180	1	ihjpas	PERSON
iajs-3265	181	1	36	CARDINAL
iajs-3265	181	2	4	CARDINAL
iajs-3265	181	3	2023 346	CARDINAL
iajs-3265	181	4	15	CARDINAL
iajs-3265	181	5	16	CARDINAL
iajs-3265	181	6	18	CARDINAL
iajs-3265	182	1	(𝑛 + 1	DATE
iajs-3265	182	2	12	CARDINAL
iajs-3265	183	1	4.1	CARDINAL
iajs-3265	183	2	darcy-brinkman	ORG
iajs-3265	183	3	ecm	PERSON
iajs-3265	183	4	ecm	ORG
iajs-3265	183	5	first	ORDINAL
iajs-3265	183	6	1	CARDINAL
iajs-3265	183	7	2	CARDINAL
iajs-3265	184	1	ecm	PERSON
iajs-3265	184	2	𝑦(𝑥	ORG
iajs-3265	184	3	12	CARDINAL
iajs-3265	184	4	13	CARDINAL
iajs-3265	184	5	1	CARDINAL
iajs-3265	184	6	2	CARDINAL
iajs-3265	185	1	𝑨)2	CARDINAL
iajs-3265	186	1	0	CARDINAL
iajs-3265	186	2	𝜳(0	ORG
iajs-3265	186	3	0	CARDINAL
iajs-3265	186	4	𝜳(1	ORG
iajs-3265	186	5	0	CARDINAL
iajs-3265	187	1	29	CARDINAL
iajs-3265	187	2	18	CARDINAL
iajs-3265	187	3	19	CARDINAL
iajs-3265	188	1	1 𝑀 〉	QUANTITY
iajs-3265	188	2	0 ≤	QUANTITY
iajs-3265	188	3	30	CARDINAL
iajs-3265	188	4	21	CARDINAL
iajs-3265	188	5	22	CARDINAL
iajs-3265	188	6	1	CARDINAL
iajs-3265	188	7	2	CARDINAL
iajs-3265	188	8	first	ORDINAL
iajs-3265	188	9	𝑩𝑻	ORG
iajs-3265	188	10	2	CARDINAL
iajs-3265	189	1	𝑨𝑇	ORG
iajs-3265	190	1	2	CARDINAL
iajs-3265	191	1	0	CARDINAL
iajs-3265	191	2	𝑨𝑇	GPE
iajs-3265	191	3	∗ 𝜳(0	PERSON
iajs-3265	191	4	0	CARDINAL
iajs-3265	191	5	0	CARDINAL
iajs-3265	192	1	31	CARDINAL
iajs-3265	192	2	18	CARDINAL
iajs-3265	192	3	19	CARDINAL
iajs-3265	192	4	𝑨𝑇	ORG
iajs-3265	192	5	𝑩𝑻	ORG
iajs-3265	192	6	2	CARDINAL
iajs-3265	193	1	𝑨𝑇	ORG
iajs-3265	194	1	2	CARDINAL
iajs-3265	194	2	〈	PERSON
iajs-3265	194	3	1 𝑀	QUANTITY
iajs-3265	194	4	0 ≤	QUANTITY
iajs-3265	194	5	24	CARDINAL
iajs-3265	194	6	25	CARDINAL
iajs-3265	194	7	1	CARDINAL
iajs-3265	194	8	2	CARDINAL
iajs-3265	194	9	2	CARDINAL
iajs-3265	195	1	𝑨𝑇	ORG
iajs-3265	196	1	2	CARDINAL
iajs-3265	197	1	0	CARDINAL
iajs-3265	197	2	𝑨𝑇	ORG
iajs-3265	197	3	∗ 𝜳(0	PERSON
iajs-3265	197	4	0	CARDINAL
iajs-3265	197	5	0	CARDINAL
iajs-3265	198	1	33	CARDINAL
iajs-3265	198	2	18	CARDINAL
iajs-3265	198	3	19	CARDINAL
iajs-3265	198	4	𝑨𝑇	ORG
iajs-3265	198	5	𝑩𝓑 ∗	ORG
iajs-3265	198	6	2	CARDINAL
iajs-3265	199	1	𝑨𝑇	ORG
iajs-3265	200	1	2	CARDINAL
iajs-3265	200	2	〈𝑩𝑖(𝑥),−	WORK_OF_ART
iajs-3265	200	3	1 𝑀 〉	QUANTITY
iajs-3265	200	4	0 ≤	QUANTITY
iajs-3265	200	5	34	CARDINAL
iajs-3265	200	6	27	CARDINAL
iajs-3265	200	7	28	CARDINAL
iajs-3265	200	8	1	CARDINAL
iajs-3265	200	9	2	CARDINAL
iajs-3265	200	10	𝑨)2	CARDINAL
iajs-3265	201	1	0	CARDINAL
iajs-3265	201	2	𝜳(0	ORG
iajs-3265	201	3	0	CARDINAL
iajs-3265	201	4	𝜳(1	ORG
iajs-3265	201	5	0	CARDINAL
iajs-3265	201	6	35	CARDINAL
iajs-3265	201	7	18	CARDINAL
iajs-3265	201	8	19	CARDINAL
iajs-3265	201	9	〈𝑳𝑖(𝑥),𝜳(𝑥	PERSON
iajs-3265	201	10	1 𝑀	QUANTITY
iajs-3265	201	11	0 ≤	QUANTITY
iajs-3265	201	12	36	CARDINAL
iajs-3265	201	13	30	CARDINAL
iajs-3265	201	14	32	CARDINAL
iajs-3265	201	15	34	CARDINAL
iajs-3265	201	16	36	CARDINAL
iajs-3265	203	1	29	CARDINAL
iajs-3265	203	2	31	CARDINAL
iajs-3265	203	3	33	CARDINAL
iajs-3265	203	4	35	CARDINAL
iajs-3265	204	1	ihjpas	PERSON
iajs-3265	205	1	36	CARDINAL
iajs-3265	205	2	4	CARDINAL
iajs-3265	205	3	2023 347	CARDINAL
iajs-3265	205	4	1	CARDINAL
iajs-3265	205	5	1	CARDINAL
iajs-3265	205	6	1	CARDINAL
iajs-3265	205	7	36	CARDINAL
iajs-3265	205	8	10	CARDINAL
iajs-3265	205	9	darcy-brinkman	ORG
iajs-3265	205	10	ecm	ORG
iajs-3265	206	1	0.323852	CARDINAL
iajs-3265	206	2	0.285634	CARDINAL
iajs-3265	207	1	first	ORDINAL
iajs-3265	208	1	0.323852	CARDINAL
iajs-3265	208	2	0.285634	CARDINAL
iajs-3265	208	3	0.000421857 𝑥6 + 0.000264638	MONEY
iajs-3265	208	4	0.0000340335	MONEY
iajs-3265	210	1	0.323852	CARDINAL
iajs-3265	210	2	0.285634	CARDINAL
iajs-3265	212	1	0.323852	CARDINAL
iajs-3265	212	2	0.285634	CARDINAL
iajs-3265	213	1	darcy-brinkman	ORG
iajs-3265	214	1	− 𝑠2𝑦(𝑥	GPE
iajs-3265	216	1	2	CARDINAL
iajs-3265	216	2	ecm	ORG
iajs-3265	216	3	bernoulli	PERSON
iajs-3265	216	4	2 to 10	DATE
iajs-3265	216	5	2	CARDINAL
iajs-3265	217	1	darcy-brinkman	ORG
iajs-3265	218	1	ihjpas	PERSON
iajs-3265	219	1	36	CARDINAL
iajs-3265	219	2	4	CARDINAL
iajs-3265	219	3	2023 348	CARDINAL
iajs-3265	219	4	3	CARDINAL
iajs-3265	219	5	10	CARDINAL
iajs-3265	219	6	1	CARDINAL
iajs-3265	219	7	1	CARDINAL
iajs-3265	222	1	3	CARDINAL
iajs-3265	223	1	darcy-brinkman	ORG
iajs-3265	224	1	ecm	ORG
iajs-3265	224	2	1	CARDINAL
iajs-3265	224	3	10	CARDINAL
iajs-3265	224	4	1	CARDINAL
iajs-3265	224	5	𝐹	GPE
iajs-3265	226	1	1	CARDINAL
iajs-3265	227	1	1	CARDINAL
iajs-3265	228	1	4.2	CARDINAL
iajs-3265	228	2	ecm	PERSON
iajs-3265	228	3	ecm	ORG
iajs-3265	228	4	second	ORDINAL
iajs-3265	228	5	3	CARDINAL
iajs-3265	228	6	5	CARDINAL
iajs-3265	229	1	12	CARDINAL
iajs-3265	229	2	13	CARDINAL
iajs-3265	229	3	3	CARDINAL
iajs-3265	229	4	5	CARDINAL
iajs-3265	229	5	ecm	ORG
iajs-3265	229	6	𝑦(𝑥	ORG
iajs-3265	230	1	0	CARDINAL
iajs-3265	230	2	𝜳(0	ORG
iajs-3265	230	3	0	CARDINAL
iajs-3265	230	4	𝜳(0	ORG
iajs-3265	230	5	0	CARDINAL
iajs-3265	230	6	𝜳(0	ORG
iajs-3265	230	7	37	CARDINAL
iajs-3265	230	8	18	CARDINAL
iajs-3265	230	9	19	CARDINAL
iajs-3265	230	10	0	CARDINAL
iajs-3265	230	11	0 ≤	QUANTITY
iajs-3265	230	12	38	CARDINAL
iajs-3265	230	13	21	CARDINAL
iajs-3265	230	14	22	CARDINAL
iajs-3265	230	15	3	CARDINAL
iajs-3265	230	16	5	CARDINAL
iajs-3265	230	17	first	ORDINAL
iajs-3265	230	18	𝑩𝑻	ORG
iajs-3265	230	19	3	CARDINAL
iajs-3265	231	1	𝑩𝑻	ORG
iajs-3265	231	2	2	CARDINAL
iajs-3265	232	1	0	CARDINAL
iajs-3265	232	2	𝑨𝑇	ORG
iajs-3265	232	3	0	CARDINAL
iajs-3265	232	4	𝑨𝑇	GPE
iajs-3265	232	5	∗ 𝜳(0	PERSON
iajs-3265	232	6	0	CARDINAL
iajs-3265	232	7	𝑩𝑻	ORG
iajs-3265	232	8	39	CARDINAL
iajs-3265	232	9	18	CARDINAL
iajs-3265	232	10	19	CARDINAL
iajs-3265	232	11	𝑨𝑇	ORG
iajs-3265	232	12	𝑩𝑻	ORG
iajs-3265	232	13	3	CARDINAL
iajs-3265	233	1	𝑩𝑻	ORG
iajs-3265	233	2	2	CARDINAL
iajs-3265	233	3	0	CARDINAL
iajs-3265	233	4	0 ≤	QUANTITY
iajs-3265	233	5	40	CARDINAL
iajs-3265	233	6	2 1.27523	CARDINAL
iajs-3265	233	7	2.75302	CARDINAL
iajs-3265	233	8	10−7	CARDINAL
iajs-3265	233	9	10−7 2.77819	CARDINAL
iajs-3265	233	10	10−7	CARDINAL
iajs-3265	233	11	1.14476	CARDINAL
iajs-3265	233	12	1.15826	CARDINAL
iajs-3265	233	13	1.17427	CARDINAL
iajs-3265	233	14	6 0.0000118871 2.52936	QUANTITY
iajs-3265	233	15	2.5595	CARDINAL
iajs-3265	233	16	2.65222	CARDINAL
iajs-3265	233	17	10−6	CARDINAL
iajs-3265	234	1	36	CARDINAL
iajs-3265	234	2	4	CARDINAL
iajs-3265	234	3	2023 349	DATE
iajs-3265	234	4	24	CARDINAL
iajs-3265	234	5	25	CARDINAL
iajs-3265	234	6	3	CARDINAL
iajs-3265	234	7	5	CARDINAL
iajs-3265	234	8	3	CARDINAL
iajs-3265	235	1	𝜳(𝑥))(𝑨𝑇	PERSON
iajs-3265	235	2	2	CARDINAL
iajs-3265	236	1	0	CARDINAL
iajs-3265	236	2	𝑨𝑇	ORG
iajs-3265	236	3	0	CARDINAL
iajs-3265	236	4	𝑨𝑇	ORG
iajs-3265	236	5	∗ 𝜳(0	PERSON
iajs-3265	236	6	0	CARDINAL
iajs-3265	236	7	𝑨𝑇	ORG
iajs-3265	236	8	𝑩𝓑 ∗	ORG
iajs-3265	236	9	41	CARDINAL
iajs-3265	236	10	18	CARDINAL
iajs-3265	236	11	19	CARDINAL
iajs-3265	236	12	𝑨𝑇	ORG
iajs-3265	236	13	𝑩𝓑 ∗ )	ORG
iajs-3265	236	14	3	CARDINAL
iajs-3265	236	15	𝜳(𝑥))(𝑨𝑇	PERSON
iajs-3265	236	16	2	CARDINAL
iajs-3265	236	17	0	CARDINAL
iajs-3265	236	18	0 ≤	QUANTITY
iajs-3265	236	19	42	DATE
iajs-3265	236	20	27	CARDINAL
iajs-3265	236	21	28	CARDINAL
iajs-3265	236	22	3	CARDINAL
iajs-3265	236	23	5	CARDINAL
iajs-3265	236	24	𝑨 + 1 2	FAC
iajs-3265	236	25	0	CARDINAL
iajs-3265	236	26	𝜳(0	ORG
iajs-3265	236	27	0	CARDINAL
iajs-3265	236	28	𝜳(0	ORG
iajs-3265	236	29	0	CARDINAL
iajs-3265	236	30	𝜳(0	ORG
iajs-3265	236	31	43	CARDINAL
iajs-3265	236	32	18	CARDINAL
iajs-3265	236	33	19	CARDINAL
iajs-3265	236	34	〈𝑳𝑖(𝑥),𝜳(𝑥	PERSON
iajs-3265	236	35	𝑨 + 1 2	FAC
iajs-3265	237	1	0	CARDINAL
iajs-3265	237	2	0 ≤	QUANTITY
iajs-3265	237	3	44	DATE
iajs-3265	237	4	38	CARDINAL
iajs-3265	237	5	40	CARDINAL
iajs-3265	237	6	42	CARDINAL
iajs-3265	237	7	44	CARDINAL
iajs-3265	239	1	37	CARDINAL
iajs-3265	239	2	39	CARDINAL
iajs-3265	239	3	41	CARDINAL
iajs-3265	239	4	43	CARDINAL
iajs-3265	240	1	0.3320573	CARDINAL
iajs-3265	240	2	43	CARDINAL
iajs-3265	240	3	10	CARDINAL
iajs-3265	241	1	ecm	ORG
iajs-3265	242	1	2.07849	CARDINAL
iajs-3265	242	2	1.85524	CARDINAL
iajs-3265	243	1	first	ORDINAL
iajs-3265	243	2	4.13564	CARDINAL
iajs-3265	243	3	8.68423	CARDINAL
iajs-3265	244	1	10−6𝑥8	CARDINAL
iajs-3265	244	2	10−7𝑥9	CARDINAL
iajs-3265	245	1	3.8326	CARDINAL
iajs-3265	245	2	8.36908	CARDINAL
iajs-3265	247	1	2.35939	CARDINAL
iajs-3265	247	2	6.42605	CARDINAL
iajs-3265	250	1	ihjpas	PERSON
iajs-3265	251	1	36	CARDINAL
iajs-3265	251	2	4	CARDINAL
iajs-3265	251	3	2023 350	CARDINAL
iajs-3265	251	4	0≤𝑥≤1 |𝑦′′′(𝑥	ORG
iajs-3265	252	1	+ 1 2 𝑦(𝑥) 𝑦′′(𝑥)|	DATE
iajs-3265	253	1	4	CARDINAL
iajs-3265	253	2	ecm	ORG
iajs-3265	253	3	bernoulli	PERSON
iajs-3265	253	4	3 to 10	CARDINAL
iajs-3265	253	5	0.3320573	CARDINAL
iajs-3265	253	6	43	CARDINAL
iajs-3265	255	1	4	CARDINAL
iajs-3265	257	1	5	CARDINAL
iajs-3265	257	2	10	CARDINAL
iajs-3265	257	3	0.3320573	CARDINAL
iajs-3265	259	1	5	CARDINAL
iajs-3265	261	1	2	CARDINAL
iajs-3265	261	2	ecm	PERSON
iajs-3265	261	3	10	CARDINAL
iajs-3265	263	1	2	CARDINAL
iajs-3265	265	1	ecm standard	ORG
iajs-3265	265	2	10	CARDINAL
iajs-3265	265	3	2.04021	CARDINAL
iajs-3265	265	4	1.64309	CARDINAL
iajs-3265	265	5	1.46579	CARDINAL
iajs-3265	265	6	8.05404	CARDINAL
iajs-3265	265	7	10−10	CARDINAL
iajs-3265	266	1	36	CARDINAL
iajs-3265	266	2	4	CARDINAL
iajs-3265	266	3	2023	CARDINAL
iajs-3265	266	4	4.3	PRODUCT
iajs-3265	266	5	ecm	PERSON
iajs-3265	266	6	ecm	ORG
iajs-3265	266	7	third	ORDINAL
iajs-3265	266	8	6	CARDINAL
iajs-3265	266	9	ecm	PERSON
iajs-3265	266	10	𝑦(𝑥	ORG
iajs-3265	266	11	12	CARDINAL
iajs-3265	266	12	13	CARDINAL
iajs-3265	266	13	6	CARDINAL
iajs-3265	267	1	0	CARDINAL
iajs-3265	267	2	𝜳(0	ORG
iajs-3265	267	3	0	CARDINAL
iajs-3265	267	4	𝜳(0	ORG
iajs-3265	268	1	1	CARDINAL
iajs-3265	268	2	𝜳(0	ORG
iajs-3265	268	3	−0.832666	PRODUCT
iajs-3265	269	1	45	CARDINAL
iajs-3265	269	2	18	CARDINAL
iajs-3265	269	3	19	CARDINAL
iajs-3265	270	1	𝑩∗ 𝑨)2	CARDINAL
iajs-3265	270	2	𝜖2	GPE
iajs-3265	270	3	0 ≤	QUANTITY
iajs-3265	270	4	46	DATE
iajs-3265	270	5	21	CARDINAL
iajs-3265	270	6	22	CARDINAL
iajs-3265	270	7	6	CARDINAL
iajs-3265	270	8	first	ORDINAL
iajs-3265	270	9	𝑩𝑻	ORG
iajs-3265	270	10	3	CARDINAL
iajs-3265	270	11	𝑩𝑻	ORG
iajs-3265	270	12	2	CARDINAL
iajs-3265	271	1	0	CARDINAL
iajs-3265	271	2	𝑨𝑇	ORG
iajs-3265	271	3	0	CARDINAL
iajs-3265	271	4	𝑨𝑇	GPE
iajs-3265	271	5	∗ 𝜳(0	PERSON
iajs-3265	272	1	1	CARDINAL
iajs-3265	272	2	𝑨𝑇	ORG
iajs-3265	272	3	𝑩𝑻	ORG
iajs-3265	272	4	−0.832666	PERSON
iajs-3265	273	1	47	CARDINAL
iajs-3265	273	2	18	CARDINAL
iajs-3265	273	3	19	CARDINAL
iajs-3265	273	4	𝑨𝑇	ORG
iajs-3265	273	5	𝑩𝑻	ORG
iajs-3265	273	6	3	CARDINAL
iajs-3265	273	7	𝑩𝑻	ORG
iajs-3265	273	8	2	CARDINAL
iajs-3265	274	1	〈	PERSON
iajs-3265	274	2	𝜖2	GPE
iajs-3265	274	3	0 ≤	QUANTITY
iajs-3265	274	4	48	DATE
iajs-3265	274	5	24	CARDINAL
iajs-3265	274	6	25	CARDINAL
iajs-3265	274	7	6	CARDINAL
iajs-3265	274	8	3	CARDINAL
iajs-3265	274	9	𝜳(𝑥))(𝑨𝑇	PERSON
iajs-3265	274	10	2	CARDINAL
iajs-3265	275	1	0	CARDINAL
iajs-3265	275	2	𝑨𝑇	ORG
iajs-3265	275	3	0	CARDINAL
iajs-3265	275	4	𝑨𝑇	ORG
iajs-3265	275	5	∗ 𝜳(0	PERSON
iajs-3265	275	6	1	CARDINAL
iajs-3265	275	7	𝑨𝑇	ORG
iajs-3265	275	8	𝑩𝓑 ∗	ORG
iajs-3265	276	1	−0.832666	PERSON
iajs-3265	277	1	49	CARDINAL
iajs-3265	277	2	18	CARDINAL
iajs-3265	277	3	19	CARDINAL
iajs-3265	278	1	𝑨𝑇	ORG
iajs-3265	278	2	𝑩𝓑 ∗ )	ORG
iajs-3265	278	3	3	CARDINAL
iajs-3265	278	4	𝜳(𝑥))(𝑨𝑇	PERSON
iajs-3265	278	5	2	CARDINAL
iajs-3265	280	1	𝜖2	GPE
iajs-3265	280	2	0 ≤	QUANTITY
iajs-3265	280	3	50	CARDINAL
iajs-3265	280	4	27	CARDINAL
iajs-3265	280	5	28	CARDINAL
iajs-3265	280	6	6	CARDINAL
iajs-3265	281	1	0	CARDINAL
iajs-3265	281	2	𝜳(0	ORG
iajs-3265	281	3	0	CARDINAL
iajs-3265	281	4	𝜳(0	ORG
iajs-3265	281	5	1	CARDINAL
iajs-3265	281	6	𝜳(0	ORG
iajs-3265	282	1	51	CARDINAL
iajs-3265	282	2	18	CARDINAL
iajs-3265	282	3	19	CARDINAL
iajs-3265	283	1	𝜖2	GPE
iajs-3265	283	2	0 ≤	QUANTITY
iajs-3265	283	3	52	DATE
iajs-3265	284	1	46	CARDINAL
iajs-3265	284	2	48	CARDINAL
iajs-3265	284	3	50	CARDINAL
iajs-3265	284	4	52	CARDINAL
iajs-3265	285	1	45	CARDINAL
iajs-3265	285	2	47	CARDINAL
iajs-3265	285	3	49	CARDINAL
iajs-3265	285	4	51	CARDINAL
iajs-3265	286	1	0.1	CARDINAL
iajs-3265	286	2	0.5	CARDINAL
iajs-3265	286	3	53	CARDINAL
iajs-3265	286	4	𝑛=8	ORG
iajs-3265	286	5	ecm	ORG
iajs-3265	287	1	≈ 0.9	CARDINAL
iajs-3265	287	2	0.000639976 𝑥6	MONEY
iajs-3265	288	1	first	ORDINAL
iajs-3265	288	2	ihjpas	PERSON
iajs-3265	289	1	36	CARDINAL
iajs-3265	289	2	4	CARDINAL
iajs-3265	289	3	2023 352	DATE
iajs-3265	290	1	≈ 0.9	CARDINAL
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