id	sid	eid	entity	type
ejpam-6633	1	1	european journal	ORG
ejpam-6633	1	2	2025	DATE
ejpam-6633	1	3	18	CARDINAL
ejpam-6633	1	4	3	CARDINAL
ejpam-6633	1	5	6633	DATE
ejpam-6633	1	6	1307-5543	DATE
ejpam-6633	1	7	new york	GPE
ejpam-6633	2	1	afrah sadiq	PERSON
ejpam-6633	2	2	adil murad1	PERSON
ejpam-6633	2	3	university of duhok	ORG
ejpam-6633	2	4	duhok	ORG
ejpam-6633	2	5	iraq	GPE
ejpam-6633	5	1	two	CARDINAL
ejpam-6633	9	1	jacobian	NORP
ejpam-6633	9	2	θ(t	PERSON
ejpam-6633	11	1	2020	DATE
ejpam-6633	11	2	34a08	CARDINAL
ejpam-6633	11	3	34k37	CARDINAL
ejpam-6633	11	4	34a12	CARDINAL
ejpam-6633	11	5	34dxx	DATE
ejpam-6633	11	6	65lxx	CARDINAL
ejpam-6633	11	7	1	CARDINAL
ejpam-6633	12	1	1	CARDINAL
ejpam-6633	12	2	2	CARDINAL
ejpam-6633	14	1	non-linear	LOC
ejpam-6633	16	1	3–8	CARDINAL
ejpam-6633	18	1	afrah.hasan@uod.ac	ORG
ejpam-6633	18	2	a. s. hasan	PERSON
ejpam-6633	18	3	s. a. murad	PERSON
ejpam-6633	19	1	1	CARDINAL
ejpam-6633	19	2	2025	CARDINAL
ejpam-6633	20	1	a. s. hasan	PERSON
ejpam-6633	20	2	s. a. murad	PERSON
ejpam-6633	21	1	j. pure	PERSON
ejpam-6633	21	2	18	CARDINAL
ejpam-6633	21	3	3	CARDINAL
ejpam-6633	21	4	2025	CARDINAL
ejpam-6633	21	5	6633 2	DATE
ejpam-6633	21	6	24	CARDINAL
ejpam-6633	21	7	9	CARDINAL
ejpam-6633	21	8	10	CARDINAL
ejpam-6633	22	1	η′′(t	GPE
ejpam-6633	23	1	0	CARDINAL
ejpam-6633	23	2	0	CARDINAL
ejpam-6633	23	3	1	CARDINAL
ejpam-6633	23	4	11	CARDINAL
ejpam-6633	24	1	chandrasekhar	PERSON
ejpam-6633	26	1	12	CARDINAL
ejpam-6633	30	1	1	CARDINAL
ejpam-6633	30	2	2	CARDINAL
ejpam-6633	32	1	11	CARDINAL
ejpam-6633	32	2	13	CARDINAL
ejpam-6633	32	3	12	CARDINAL
ejpam-6633	35	1	ibrahim	PERSON
ejpam-6633	35	2	14	CARDINAL
ejpam-6633	35	3	3	CARDINAL
ejpam-6633	35	4	0	CARDINAL
ejpam-6633	35	5	η(0	ORG
ejpam-6633	37	1	0	CARDINAL
ejpam-6633	37	2	1	CARDINAL
ejpam-6633	38	1	15	CARDINAL
ejpam-6633	38	2	4	CARDINAL
ejpam-6633	38	3	0	CARDINAL
ejpam-6633	38	4	η(0	ORG
ejpam-6633	40	1	16	CARDINAL
ejpam-6633	41	1	5	CARDINAL
ejpam-6633	41	2	1	CARDINAL
ejpam-6633	41	3	0	DATE
ejpam-6633	41	4	0	CARDINAL
ejpam-6633	42	1	17	CARDINAL
ejpam-6633	42	2	a. s. hasan	PERSON
ejpam-6633	42	3	s. a. murad	PERSON
ejpam-6633	43	1	j. pure	PERSON
ejpam-6633	43	2	18	CARDINAL
ejpam-6633	43	3	3	CARDINAL
ejpam-6633	43	4	2025	CARDINAL
ejpam-6633	43	5	6633 3	DATE
ejpam-6633	43	6	24	CARDINAL
ejpam-6633	43	7	two	CARDINAL
ejpam-6633	45	1	18	CARDINAL
ejpam-6633	46	1	19	CARDINAL
ejpam-6633	48	1	two	CARDINAL
ejpam-6633	48	2	20	CARDINAL
ejpam-6633	49	1	21	CARDINAL
ejpam-6633	50	1	22	CARDINAL
ejpam-6633	54	1	chd	ORG
ejpam-6633	54	2	6	CARDINAL
ejpam-6633	54	3	η(a	PERSON
ejpam-6633	54	4	7	CARDINAL
ejpam-6633	54	5	∈	ORG
ejpam-6633	55	1	1	CARDINAL
ejpam-6633	55	2	1	CARDINAL
ejpam-6633	56	1	6	CARDINAL
ejpam-6633	56	2	1	CARDINAL
ejpam-6633	57	1	two	CARDINAL
ejpam-6633	57	2	θ(t	PERSON
ejpam-6633	57	3	1	CARDINAL
ejpam-6633	57	4	θ(t	PERSON
ejpam-6633	58	1	1	CARDINAL
ejpam-6633	59	1	chd	ORG
ejpam-6633	59	2	3	CARDINAL
ejpam-6633	60	1	6-8)	CARDINAL
ejpam-6633	60	2	1	CARDINAL
ejpam-6633	61	1	18	CARDINAL
ejpam-6633	62	1	newton	GPE
ejpam-6633	62	2	jacobian	NORP
ejpam-6633	62	3	θ(t	PERSON
ejpam-6633	65	1	a. s. hasan	PERSON
ejpam-6633	65	2	s. a. murad	PERSON
ejpam-6633	66	1	j. pure	PERSON
ejpam-6633	66	2	18	CARDINAL
ejpam-6633	66	3	3	CARDINAL
ejpam-6633	66	4	2025	CARDINAL
ejpam-6633	66	5	6633 4	DATE
ejpam-6633	66	6	24	DATE
ejpam-6633	66	7	23	CARDINAL
ejpam-6633	68	1	llog,1	DATE
ejpam-6633	69	1	24	CARDINAL
ejpam-6633	70	1	25	CARDINAL
ejpam-6633	71	1	section 2	LAW
ejpam-6633	72	1	section 3	LAW
ejpam-6633	72	2	6-8)	CARDINAL
ejpam-6633	73	1	section 4	LAW
ejpam-6633	73	2	section 5	LAW
ejpam-6633	73	3	newton-raphson	ORG
ejpam-6633	74	1	4-5	DATE
ejpam-6633	74	2	2	CARDINAL
ejpam-6633	75	1	1	CARDINAL
ejpam-6633	76	1	0	CARDINAL
ejpam-6633	76	2	1 γ(β	CARDINAL
ejpam-6633	77	1	9	CARDINAL
ejpam-6633	77	2	euler	PERSON
ejpam-6633	78	1	2	CARDINAL
ejpam-6633	79	1	0	CARDINAL
ejpam-6633	81	1	1 γ(n−	CARDINAL
ejpam-6633	82	1	10	CARDINAL
ejpam-6633	83	1	10	CARDINAL
ejpam-6633	84	1	3	CARDINAL
ejpam-6633	85	1	26	CARDINAL
ejpam-6633	85	2	1],r	CARDINAL
ejpam-6633	85	3	chd	ORG
ejpam-6633	86	1	1 γ(n−	CARDINAL
ejpam-6633	86	2	11	CARDINAL
ejpam-6633	86	3	n. a. s. hasan	PERSON
ejpam-6633	86	4	s. a. murad	PERSON
ejpam-6633	87	1	j. pure	PERSON
ejpam-6633	87	2	18	CARDINAL
ejpam-6633	87	3	3	CARDINAL
ejpam-6633	87	4	2025	CARDINAL
ejpam-6633	87	5	6633 5	DATE
ejpam-6633	87	6	24	CARDINAL
ejpam-6633	87	7	1	CARDINAL
ejpam-6633	88	1	27	CARDINAL
ejpam-6633	88	2	0	CARDINAL
ejpam-6633	88	3	chd	ORG
ejpam-6633	89	1	2 + ·	DATE
ejpam-6633	89	2	12	CARDINAL
ejpam-6633	89	3	ci = δiη(a	PERSON
ejpam-6633	89	4	0	CARDINAL
ejpam-6633	89	5	1	CARDINAL
ejpam-6633	90	1	1	CARDINAL
ejpam-6633	91	1	2	CARDINAL
ejpam-6633	92	1	27	CARDINAL
ejpam-6633	92	2	0	CARDINAL
ejpam-6633	93	1	1	CARDINAL
ejpam-6633	95	1	13	CARDINAL
ejpam-6633	95	2	1	CARDINAL
ejpam-6633	96	1	3	CARDINAL
ejpam-6633	96	2	two	CARDINAL
ejpam-6633	96	3	0 ≤	MONEY
ejpam-6633	96	4	1	CARDINAL
ejpam-6633	97	1	⊆	CARDINAL
ejpam-6633	98	1	1],r	CARDINAL
ejpam-6633	99	1	iiϕ1	PERSON
ejpam-6633	99	2	∥ϕ1(x	GPE
ejpam-6633	100	1	∈	ORG
ejpam-6633	101	1	0	CARDINAL
ejpam-6633	101	2	1	CARDINAL
ejpam-6633	102	1	iiiϕ2	PERSON
ejpam-6633	103	1	2	CARDINAL
ejpam-6633	104	1	3	CARDINAL
ejpam-6633	105	1	3	CARDINAL
ejpam-6633	106	1	28	CARDINAL
ejpam-6633	108	1	4	CARDINAL
ejpam-6633	109	1	29	CARDINAL
ejpam-6633	109	2	6-8)	CARDINAL
ejpam-6633	109	3	0	CARDINAL
ejpam-6633	109	4	0	CARDINAL
ejpam-6633	109	5	η(t)−	ORG
ejpam-6633	109	6	∣∣∣ ≤ ϵ	MONEY
ejpam-6633	109	7	14	CARDINAL
ejpam-6633	109	8	z(t	ORG
ejpam-6633	109	9	∈	ORG
ejpam-6633	109	10	6-8)	CARDINAL
ejpam-6633	109	11	|η(t)−	ORG
ejpam-6633	109	12	15	CARDINAL
ejpam-6633	110	1	1	CARDINAL
ejpam-6633	111	1	1	CARDINAL
ejpam-6633	112	1	30	CARDINAL
ejpam-6633	113	1	14	CARDINAL
ejpam-6633	113	2	g(t	NORP
ejpam-6633	113	3	η	GPE
ejpam-6633	115	1	1	CARDINAL
ejpam-6633	115	2	a. s. hasan	PERSON
ejpam-6633	115	3	s. a. murad	PERSON
ejpam-6633	116	1	j. pure	PERSON
ejpam-6633	116	2	18	CARDINAL
ejpam-6633	116	3	3	CARDINAL
ejpam-6633	116	4	2025	CARDINAL
ejpam-6633	116	5	6633 6	DATE
ejpam-6633	117	1	+ g(t	PERSON
ejpam-6633	118	1	5	CARDINAL
ejpam-6633	119	1	29	CARDINAL
ejpam-6633	119	2	6-8)	CARDINAL
ejpam-6633	119	3	0	CARDINAL
ejpam-6633	119	4	0	CARDINAL
ejpam-6633	119	5	η(t)−	ORG
ejpam-6633	119	6	∣∣∣ ≤	MONEY
ejpam-6633	119	7	16	CARDINAL
ejpam-6633	119	8	∈	ORG
ejpam-6633	119	9	z(t	ORG
ejpam-6633	119	10	∈	ORG
ejpam-6633	119	11	6-8)	CARDINAL
ejpam-6633	119	12	|η(t)−	ORG
ejpam-6633	119	13	17	CARDINAL
ejpam-6633	120	1	1	CARDINAL
ejpam-6633	121	1	2	CARDINAL
ejpam-6633	122	1	30	CARDINAL
ejpam-6633	123	1	16	CARDINAL
ejpam-6633	123	2	g(t	NORP
ejpam-6633	123	3	η	GPE
ejpam-6633	125	1	1	CARDINAL
ejpam-6633	127	1	+ g(t	PERSON
ejpam-6633	128	1	3	CARDINAL
ejpam-6633	129	1	6-8)	CARDINAL
ejpam-6633	129	2	1],r	CARDINAL
ejpam-6633	133	1	− µ γ(α	ORG
ejpam-6633	137	1	1	CARDINAL
ejpam-6633	137	2	1 τ	QUANTITY
ejpam-6633	141	1	1	CARDINAL
ejpam-6633	141	2	1 τ	QUANTITY
ejpam-6633	141	3	18	CARDINAL
ejpam-6633	141	4	+ 1	CARDINAL
ejpam-6633	142	1	1	CARDINAL
ejpam-6633	143	1	1	CARDINAL
ejpam-6633	143	2	6	CARDINAL
ejpam-6633	143	3	1	CARDINAL
ejpam-6633	143	4	1	CARDINAL
ejpam-6633	143	5	1 γ(β	CARDINAL
ejpam-6633	147	1	19	CARDINAL
ejpam-6633	147	2	c̄	DATE
ejpam-6633	148	1	19	CARDINAL
ejpam-6633	149	1	1	CARDINAL
ejpam-6633	149	2	a. s. hasan	PERSON
ejpam-6633	149	3	s. a. murad	PERSON
ejpam-6633	150	1	j. pure	PERSON
ejpam-6633	150	2	18	CARDINAL
ejpam-6633	150	3	3	CARDINAL
ejpam-6633	150	4	2025	CARDINAL
ejpam-6633	150	5	6633 7	DATE
ejpam-6633	152	1	1	CARDINAL
ejpam-6633	155	1	− µ γ(α	ORG
ejpam-6633	156	1	1	CARDINAL
ejpam-6633	158	1	20	CARDINAL
ejpam-6633	158	2	two	CARDINAL
ejpam-6633	158	3	7-8)	CARDINAL
ejpam-6633	158	4	20	CARDINAL
ejpam-6633	158	5	1	CARDINAL
ejpam-6633	159	1	1	CARDINAL
ejpam-6633	160	1	1	CARDINAL
ejpam-6633	160	2	1 τ	QUANTITY
ejpam-6633	164	1	1	CARDINAL
ejpam-6633	164	2	1 τ	QUANTITY
ejpam-6633	164	3	21	CARDINAL
ejpam-6633	164	4	c̄	DATE
ejpam-6633	164	5	20	CARDINAL
ejpam-6633	164	6	6-8)	CARDINAL
ejpam-6633	164	7	18	CARDINAL
ejpam-6633	166	1	3	CARDINAL
ejpam-6633	167	1	3	CARDINAL
ejpam-6633	167	2	6-8)	CARDINAL
ejpam-6633	169	1	1],r	CARDINAL
ejpam-6633	169	2	2bω γ(β+α+1	NORP
ejpam-6633	169	3	1	CARDINAL
ejpam-6633	169	4	2bµ	CARDINAL
ejpam-6633	169	5	1	CARDINAL
ejpam-6633	170	1	22	CARDINAL
ejpam-6633	170	2	1	CARDINAL
ejpam-6633	171	1	η ∈ q.	ORG
ejpam-6633	171	2	23	CARDINAL
ejpam-6633	171	3	section 3 under the	LAW
ejpam-6633	171	4	two	CARDINAL
ejpam-6633	171	5	0	CARDINAL
ejpam-6633	171	6	η(t))| ≤ ω	ORG
ejpam-6633	172	1	1	CARDINAL
ejpam-6633	172	2	η ∈ q.	PERSON
ejpam-6633	172	3	− θ(t	PERSON
ejpam-6633	172	4	k∥η1 − η2∥	PERSON
ejpam-6633	173	1	1	CARDINAL
ejpam-6633	173	2	∈	ORG
ejpam-6633	173	3	1	CARDINAL
ejpam-6633	173	4	1	CARDINAL
ejpam-6633	173	5	1 2b	CARDINAL
ejpam-6633	175	1	1 γ(β	CARDINAL
ejpam-6633	178	1	τ dτ a. s. hasan	PERSON
ejpam-6633	178	2	s. a. murad	PERSON
ejpam-6633	179	1	j. pure	PERSON
ejpam-6633	179	2	18	CARDINAL
ejpam-6633	179	3	3	CARDINAL
ejpam-6633	179	4	2025	CARDINAL
ejpam-6633	179	5	6633 8	DATE
ejpam-6633	179	6	24	CARDINAL
ejpam-6633	179	7	− µ γ(α	ORG
ejpam-6633	183	1	1	CARDINAL
ejpam-6633	183	2	1 τ	QUANTITY
ejpam-6633	187	1	1	CARDINAL
ejpam-6633	187	2	1 τ	QUANTITY
ejpam-6633	188	1	1	CARDINAL
ejpam-6633	189	1	24	CARDINAL
ejpam-6633	190	1	6-8)	CARDINAL
ejpam-6633	191	1	⊂	GPE
ejpam-6633	192	1	η ∈	ORG
ejpam-6633	192	2	∥ϕ	PERSON
ejpam-6633	195	1	− µ γ(α	ORG
ejpam-6633	199	1	1	CARDINAL
ejpam-6633	199	2	1 τ	QUANTITY
ejpam-6633	203	1	1	CARDINAL
ejpam-6633	203	2	1 τ	QUANTITY
ejpam-6633	204	1	1	CARDINAL
ejpam-6633	205	1	25	CARDINAL
ejpam-6633	205	2	22	CARDINAL
ejpam-6633	205	3	∥ϕ	PERSON
ejpam-6633	205	4	26	CARDINAL
ejpam-6633	205	5	2b	CARDINAL
ejpam-6633	205	6	1	CARDINAL
ejpam-6633	205	7	2bµ	ORDINAL
ejpam-6633	205	8	26	CARDINAL
ejpam-6633	205	9	⊂	GPE
ejpam-6633	207	1	two	CARDINAL
ejpam-6633	208	1	∥ϕ	PERSON
ejpam-6633	208	2	1	CARDINAL
ejpam-6633	210	1	θ(τ	PERSON
ejpam-6633	213	1	1	CARDINAL
ejpam-6633	213	2	1 τ	QUANTITY
ejpam-6633	214	1	θ(τ	PERSON
ejpam-6633	215	1	1	CARDINAL
ejpam-6633	215	2	1 τ	QUANTITY
ejpam-6633	217	1	1	CARDINAL
ejpam-6633	218	1	27	CARDINAL
ejpam-6633	218	2	27	CARDINAL
ejpam-6633	218	3	∥ϕ	PERSON
ejpam-6633	219	1	1	CARDINAL
ejpam-6633	219	2	θ1∥+	TIME
ejpam-6633	220	1	1	CARDINAL
ejpam-6633	220	2	− η1∥ a. s. hasan	PERSON
ejpam-6633	220	3	s. a. murad	PERSON
ejpam-6633	221	1	j. pure	PERSON
ejpam-6633	221	2	18	CARDINAL
ejpam-6633	221	3	3	CARDINAL
ejpam-6633	221	4	2025	CARDINAL
ejpam-6633	221	5	6633 9	DATE
ejpam-6633	222	1	θ1∥+	TIME
ejpam-6633	223	1	1	CARDINAL
ejpam-6633	224	1	1	CARDINAL
ejpam-6633	226	1	∥θ2	ORG
ejpam-6633	226	2	θ1∥+	DATE
ejpam-6633	227	1	28	CARDINAL
ejpam-6633	227	2	28	CARDINAL
ejpam-6633	227	3	∥ϕ	PERSON
ejpam-6633	228	1	29	CARDINAL
ejpam-6633	228	2	3	CARDINAL
ejpam-6633	228	3	6–8	CARDINAL
ejpam-6633	229	1	6-8)	CARDINAL
ejpam-6633	230	1	24	CARDINAL
ejpam-6633	231	1	two	CARDINAL
ejpam-6633	232	1	µ γ(α	ORG
ejpam-6633	234	1	1	CARDINAL
ejpam-6633	234	2	1 τ	QUANTITY
ejpam-6633	235	1	1	CARDINAL
ejpam-6633	235	2	30	CARDINAL
ejpam-6633	236	1	1 γ(β	CARDINAL
ejpam-6633	240	1	1	CARDINAL
ejpam-6633	240	2	1 τ	QUANTITY
ejpam-6633	243	1	1	CARDINAL
ejpam-6633	243	2	31	CARDINAL
ejpam-6633	244	1	two	CARDINAL
ejpam-6633	244	2	30-31	DATE
ejpam-6633	245	1	2	CARDINAL
ejpam-6633	245	2	0 ≤ µ(b + 1)/(aγ(α + 1	MONEY
ejpam-6633	247	1	1	CARDINAL
ejpam-6633	248	1	⊂	GPE
ejpam-6633	248	2	2	CARDINAL
ejpam-6633	250	1	1	CARDINAL
ejpam-6633	251	1	1	CARDINAL
ejpam-6633	255	1	1	CARDINAL
ejpam-6633	255	2	1 τ	QUANTITY
ejpam-6633	261	1	1	CARDINAL
ejpam-6633	261	2	1 τ	QUANTITY
ejpam-6633	264	1	32	CARDINAL
ejpam-6633	264	2	a. s. hasan	PERSON
ejpam-6633	264	3	s. a. murad	PERSON
ejpam-6633	265	1	j. pure	PERSON
ejpam-6633	265	2	18	CARDINAL
ejpam-6633	265	3	3	CARDINAL
ejpam-6633	265	4	2025	CARDINAL
ejpam-6633	265	5	6633 10	DATE
ejpam-6633	269	1	η(τ))|	NORP
ejpam-6633	270	1	η(τ))|	NORP
ejpam-6633	270	2	+ 1	DATE
ejpam-6633	272	1	1	CARDINAL
ejpam-6633	272	2	1 τ	QUANTITY
ejpam-6633	274	1	η(τ))|	NORP
ejpam-6633	274	2	33	CARDINAL
ejpam-6633	274	3	33	CARDINAL
ejpam-6633	278	1	⊂	GPE
ejpam-6633	280	1	3	CARDINAL
ejpam-6633	282	1	µ γ(α	ORG
ejpam-6633	284	1	1	CARDINAL
ejpam-6633	284	2	1 τ	QUANTITY
ejpam-6633	286	1	1	CARDINAL
ejpam-6633	287	1	1	CARDINAL
ejpam-6633	287	2	∥η1 −	PERSON
ejpam-6633	289	1	34	CARDINAL
ejpam-6633	290	1	4	CARDINAL
ejpam-6633	291	1	1	CARDINAL
ejpam-6633	292	1	four	CARDINAL
ejpam-6633	292	2	2	CARDINAL
ejpam-6633	293	1	4	CARDINAL
ejpam-6633	293	2	6-8)	CARDINAL
ejpam-6633	293	3	two	CARDINAL
ejpam-6633	294	1	4	CARDINAL
ejpam-6633	295	1	1]×r	CARDINAL
ejpam-6633	296	1	6-8)	CARDINAL
ejpam-6633	297	1	1],r	CARDINAL
ejpam-6633	297	2	14	CARDINAL
ejpam-6633	297	3	7-8)	DATE
ejpam-6633	298	1	1	CARDINAL
ejpam-6633	298	2	chd	ORG
ejpam-6633	299	1	+ g(t	PERSON
ejpam-6633	299	2	35	CARDINAL
ejpam-6633	299	3	a. s. hasan	PERSON
ejpam-6633	299	4	s. a. murad	PERSON
ejpam-6633	300	1	j. pure	PERSON
ejpam-6633	300	2	18	CARDINAL
ejpam-6633	300	3	3	CARDINAL
ejpam-6633	300	4	2025	CARDINAL
ejpam-6633	300	5	6633 11	DATE
ejpam-6633	300	6	24	CARDINAL
ejpam-6633	300	7	g(t	NORP
ejpam-6633	300	8	1	CARDINAL
ejpam-6633	301	1	35	CARDINAL
ejpam-6633	305	1	− µ γ(α	ORG
ejpam-6633	308	1	1	CARDINAL
ejpam-6633	308	2	1 τ	QUANTITY
ejpam-6633	312	1	1	CARDINAL
ejpam-6633	312	2	1 τ	QUANTITY
ejpam-6633	314	1	1	CARDINAL
ejpam-6633	314	2	1 τ	QUANTITY
ejpam-6633	315	1	36	CARDINAL
ejpam-6633	315	2	36	CARDINAL
ejpam-6633	320	1	1	CARDINAL
ejpam-6633	321	1	1 τ	QUANTITY
ejpam-6633	324	1	1	CARDINAL
ejpam-6633	324	2	1 τ	QUANTITY
ejpam-6633	324	3	− φ(t	ORG
ejpam-6633	325	1	1	CARDINAL
ejpam-6633	326	1	37	CARDINAL
ejpam-6633	327	1	1	CARDINAL
ejpam-6633	328	1	z(t	ORG
ejpam-6633	328	2	6-8)	CARDINAL
ejpam-6633	329	1	15	CARDINAL
ejpam-6633	329	2	|η(t)−	ORG
ejpam-6633	329	3	1	CARDINAL
ejpam-6633	330	1	γ(β + α+ 1) + 1 γ(β	MONEY
ejpam-6633	332	1	θ(τ	GPE
ejpam-6633	336	1	1	CARDINAL
ejpam-6633	336	2	1 τ	QUANTITY
ejpam-6633	338	1	θ(τ	GPE
ejpam-6633	338	2	1	CARDINAL
ejpam-6633	338	3	1 τ	QUANTITY
ejpam-6633	338	4	α−1 |η(τ)− z(τ)|	FAC
ejpam-6633	339	1	38	CARDINAL
ejpam-6633	339	2	38	CARDINAL
ejpam-6633	339	3	a. s. hasan	PERSON
ejpam-6633	339	4	s. a. murad	PERSON
ejpam-6633	340	1	j. pure	PERSON
ejpam-6633	340	2	18	CARDINAL
ejpam-6633	340	3	3	CARDINAL
ejpam-6633	340	4	2025	CARDINAL
ejpam-6633	340	5	6633 12	DATE
ejpam-6633	340	6	24	CARDINAL
ejpam-6633	342	1	1	CARDINAL
ejpam-6633	344	1	+ φ2	GPE
ejpam-6633	344	2	39	CARDINAL
ejpam-6633	344	3	39	CARDINAL
ejpam-6633	344	4	|η(t)−	ORG
ejpam-6633	344	5	40	CARDINAL
ejpam-6633	344	6	1−υ	CARDINAL
ejpam-6633	345	1	40	CARDINAL
ejpam-6633	345	2	4	CARDINAL
ejpam-6633	345	3	6-8)	CARDINAL
ejpam-6633	346	1	6-8)	CARDINAL
ejpam-6633	347	1	ψ(t	FAC
ejpam-6633	347	2	5	CARDINAL
ejpam-6633	348	1	41	CARDINAL
ejpam-6633	348	2	0	CARDINAL
ejpam-6633	348	3	5	CARDINAL
ejpam-6633	349	1	1]×r	CARDINAL
ejpam-6633	350	1	6-8)	CARDINAL
ejpam-6633	351	1	1],r	CARDINAL
ejpam-6633	351	2	16	CARDINAL
ejpam-6633	351	3	7-8)	DATE
ejpam-6633	352	1	2	CARDINAL
ejpam-6633	352	2	35	CARDINAL
ejpam-6633	352	3	2	CARDINAL
ejpam-6633	352	4	ψ(t	FAC
ejpam-6633	357	1	1	CARDINAL
ejpam-6633	358	1	1 τ	QUANTITY
ejpam-6633	361	1	1	CARDINAL
ejpam-6633	361	2	1 τ	QUANTITY
ejpam-6633	361	3	− φ(t	ORG
ejpam-6633	362	1	42	CARDINAL
ejpam-6633	363	1	1	CARDINAL
ejpam-6633	364	1	z(t	ORG
ejpam-6633	364	2	6-8)	CARDINAL
ejpam-6633	364	3	17	CARDINAL
ejpam-6633	364	4	|η(t)−	ORG
ejpam-6633	366	1	θ(τ	GPE
ejpam-6633	368	1	a. s. hasan	PERSON
ejpam-6633	368	2	s. a. murad	PERSON
ejpam-6633	369	1	j. pure	PERSON
ejpam-6633	369	2	18	CARDINAL
ejpam-6633	369	3	3	CARDINAL
ejpam-6633	369	4	2025	CARDINAL
ejpam-6633	369	5	6633 13	DATE
ejpam-6633	369	6	1	CARDINAL
ejpam-6633	369	7	1 τ	QUANTITY
ejpam-6633	371	1	θ(τ	GPE
ejpam-6633	371	2	1	CARDINAL
ejpam-6633	371	3	1 τ	QUANTITY
ejpam-6633	371	4	α−1 |η(τ)− z(τ)|	FAC
ejpam-6633	372	1	43	CARDINAL
ejpam-6633	372	2	second	ORDINAL
ejpam-6633	372	3	43	CARDINAL
ejpam-6633	373	1	+ φ2	GPE
ejpam-6633	373	2	44	CARDINAL
ejpam-6633	373	3	44	CARDINAL
ejpam-6633	373	4	|η(t)−	ORG
ejpam-6633	374	1	45	CARDINAL
ejpam-6633	374	2	2λ	CARDINAL
ejpam-6633	374	3	1−υ	CARDINAL
ejpam-6633	375	1	45	CARDINAL
ejpam-6633	375	2	5	CARDINAL
ejpam-6633	375	3	1	CARDINAL
ejpam-6633	375	4	chd	ORG
ejpam-6633	376	1	1 +	DATE
ejpam-6633	377	1	46	DATE
ejpam-6633	378	1	0	CARDINAL
ejpam-6633	378	2	47	CARDINAL
ejpam-6633	378	3	0.1	CARDINAL
ejpam-6633	379	1	48	CARDINAL
ejpam-6633	379	2	46-48	CARDINAL
ejpam-6633	379	3	1	CARDINAL
ejpam-6633	379	4	θ(t	PERSON
ejpam-6633	380	1	η(t))| ≤ ω	ORG
ejpam-6633	380	2	10 + a2	CARDINAL
ejpam-6633	380	3	49	CARDINAL
ejpam-6633	380	4	θ(t	PERSON
ejpam-6633	380	5	10 + a2 ∥η1	QUANTITY
ejpam-6633	380	6	50	CARDINAL
ejpam-6633	380	7	46-48	CARDINAL
ejpam-6633	381	1	46-48	CARDINAL
ejpam-6633	381	2	1	CARDINAL
ejpam-6633	381	3	0.8	CARDINAL
ejpam-6633	381	4	0.9	CARDINAL
ejpam-6633	381	5	k ≈ 0.01898	PERSON
ejpam-6633	381	6	k ≈ 0.01529	PERSON
ejpam-6633	381	7	respectively.also	PERSON
ejpam-6633	381	8	0.1	CARDINAL
ejpam-6633	382	1	0.1	CARDINAL
ejpam-6633	382	2	0.9	CARDINAL
ejpam-6633	383	1	29	CARDINAL
ejpam-6633	383	2	+ φ2	GPE
ejpam-6633	383	3	a. a. s. hasan	PERSON
ejpam-6633	383	4	s. a. murad	PERSON
ejpam-6633	384	1	j. pure	PERSON
ejpam-6633	384	2	18	CARDINAL
ejpam-6633	384	3	3	CARDINAL
ejpam-6633	384	4	2025	CARDINAL
ejpam-6633	384	5	6633 14	DATE
ejpam-6633	384	6	1	CARDINAL
ejpam-6633	384	7	0.1	CARDINAL
ejpam-6633	384	8	0.1	CARDINAL
ejpam-6633	384	9	0.9	CARDINAL
ejpam-6633	384	10	0.8	CARDINAL
ejpam-6633	384	11	0.9	CARDINAL
ejpam-6633	385	1	z(t	ORG
ejpam-6633	385	2	46-48	CARDINAL
ejpam-6633	386	1	14	CARDINAL
ejpam-6633	387	1	49-50	CARDINAL
ejpam-6633	387	2	4	CARDINAL
ejpam-6633	387	3	z(t	ORG
ejpam-6633	387	4	15	CARDINAL
ejpam-6633	387	5	46-48	CARDINAL
ejpam-6633	387	6	1−υ	CARDINAL
ejpam-6633	388	1	a. s. hasan	PERSON
ejpam-6633	388	2	s. a. murad	PERSON
ejpam-6633	389	1	j. pure	PERSON
ejpam-6633	389	2	18	CARDINAL
ejpam-6633	389	3	3	CARDINAL
ejpam-6633	389	4	2025	CARDINAL
ejpam-6633	389	5	6633 15	DATE
ejpam-6633	389	6	24	CARDINAL
ejpam-6633	389	7	5	CARDINAL
ejpam-6633	390	1	16	CARDINAL
ejpam-6633	390	2	ψ(t	FAC
ejpam-6633	392	1	1	CARDINAL
ejpam-6633	392	2	ψ(t	FAC
ejpam-6633	396	1	51	CARDINAL
ejpam-6633	398	1	α+β+1	DATE
ejpam-6633	398	2	1	CARDINAL
ejpam-6633	399	1	1	CARDINAL
ejpam-6633	400	1	three	CARDINAL
ejpam-6633	401	1	0.9	CARDINAL
ejpam-6633	401	2	0.5	CARDINAL
ejpam-6633	402	1	5	CARDINAL
ejpam-6633	402	2	46-48	CARDINAL
ejpam-6633	402	3	|η(t)−	ORG
ejpam-6633	402	4	52	CARDINAL
ejpam-6633	402	5	2λ	CARDINAL
ejpam-6633	402	6	1−kφ1−φ2	CARDINAL
ejpam-6633	403	1	2	CARDINAL
ejpam-6633	403	2	0.9	CARDINAL
ejpam-6633	403	3	0.8	CARDINAL
ejpam-6633	404	1	a. s. hasan	PERSON
ejpam-6633	404	2	s. a. murad	PERSON
ejpam-6633	405	1	j. pure	PERSON
ejpam-6633	405	2	18	CARDINAL
ejpam-6633	405	3	3	CARDINAL
ejpam-6633	405	4	2025	CARDINAL
ejpam-6633	405	5	6633 16	DATE
ejpam-6633	405	6	24	DATE
ejpam-6633	405	7	2	CARDINAL
ejpam-6633	405	8	0.1	CARDINAL
ejpam-6633	405	9	0.9	CARDINAL
ejpam-6633	405	10	0.9	CARDINAL
ejpam-6633	405	11	0.8	CARDINAL
ejpam-6633	405	12	5	CARDINAL
ejpam-6633	405	13	6-8)	CARDINAL
ejpam-6633	405	14	newton	GPE
ejpam-6633	406	1	18	CARDINAL
ejpam-6633	407	1	a. s. hasan	PERSON
ejpam-6633	407	2	s. a. murad	PERSON
ejpam-6633	408	1	j. pure	PERSON
ejpam-6633	408	2	18	CARDINAL
ejpam-6633	408	3	3	CARDINAL
ejpam-6633	408	4	2025	CARDINAL
ejpam-6633	408	5	6633 17	DATE
ejpam-6633	408	6	24	CARDINAL
ejpam-6633	408	7	jacobian	NORP
ejpam-6633	408	8	θ(t	PERSON
ejpam-6633	409	1	1	CARDINAL
ejpam-6633	409	2	1	CARDINAL
ejpam-6633	411	1	53	CARDINAL
ejpam-6633	412	1	1	CARDINAL
ejpam-6633	412	2	1	CARDINAL
ejpam-6633	413	1	0	CARDINAL
ejpam-6633	413	2	53	CARDINAL
ejpam-6633	414	1	18	CARDINAL
ejpam-6633	414	2	two	CARDINAL
ejpam-6633	414	3	6-8)	CARDINAL
ejpam-6633	415	1	0 ≤	MONEY
ejpam-6633	415	2	∈	ORG
ejpam-6633	415	3	≈ η(tq	PERCENT
ejpam-6633	418	1	− µ γ(α	ORG
ejpam-6633	420	1	1	CARDINAL
ejpam-6633	420	2	1 τ	QUANTITY
ejpam-6633	425	1	1	CARDINAL
ejpam-6633	425	2	1 τ	QUANTITY
ejpam-6633	425	3	54	CARDINAL
ejpam-6633	426	1	+ 1	CARDINAL
ejpam-6633	433	1	55	CARDINAL
ejpam-6633	435	1	1 τ	QUANTITY
ejpam-6633	439	1	1 τ	QUANTITY
ejpam-6633	441	1	56	CARDINAL
ejpam-6633	441	2	a. s. hasan	PERSON
ejpam-6633	441	3	s. a. murad	PERSON
ejpam-6633	442	1	j. pure	PERSON
ejpam-6633	442	2	18	CARDINAL
ejpam-6633	442	3	3	CARDINAL
ejpam-6633	442	4	2025	CARDINAL
ejpam-6633	442	5	6633 18	DATE
ejpam-6633	442	6	24	CARDINAL
ejpam-6633	442	7	first	ORDINAL
ejpam-6633	442	8	56	CARDINAL
ejpam-6633	442	9	first	ORDINAL
ejpam-6633	442	10	55	CARDINAL
ejpam-6633	443	1	second	ORDINAL
ejpam-6633	443	2	55	CARDINAL
ejpam-6633	443	3	56	CARDINAL
ejpam-6633	444	1	θ(τ, η(τ	ORG
ejpam-6633	445	1	θ(τ, η(τ	ORG
ejpam-6633	447	1	57	CARDINAL
ejpam-6633	449	1	ηi−1	PERSON
ejpam-6633	450	1	58	CARDINAL
ejpam-6633	452	1	57-58	CARDINAL
ejpam-6633	452	2	55	CARDINAL
ejpam-6633	459	1	ηi−1	PERSON
ejpam-6633	460	1	1	CARDINAL
ejpam-6633	464	1	− µ γ(α	PERSON
ejpam-6633	468	1	59	CARDINAL
ejpam-6633	468	2	59	CARDINAL
ejpam-6633	475	1	a. s. hasan	PERSON
ejpam-6633	475	2	s. a. murad	PERSON
ejpam-6633	476	1	j. pure	PERSON
ejpam-6633	476	2	18	CARDINAL
ejpam-6633	476	3	3	CARDINAL
ejpam-6633	476	4	2025	CARDINAL
ejpam-6633	476	5	6633 19	DATE
ejpam-6633	481	1	− µ γ(α	ORG
ejpam-6633	488	1	α,−	ORG
ejpam-6633	489	1	α,−	ORG
ejpam-6633	490	1	α,−	ORG
ejpam-6633	491	1	α,−	ORG
ejpam-6633	494	1	60	CARDINAL
ejpam-6633	495	1	60	CARDINAL
ejpam-6633	497	1	1	CARDINAL
ejpam-6633	498	1	61	CARDINAL
ejpam-6633	501	1	α,−	ORG
ejpam-6633	502	1	α,−	ORG
ejpam-6633	502	2	ν̄qi	GPE
ejpam-6633	502	3	α,−	ORG
ejpam-6633	503	1	α,−	ORG
ejpam-6633	513	1	62	CARDINAL
ejpam-6633	513	2	a. s. hasan	PERSON
ejpam-6633	513	3	s. a. murad	PERSON
ejpam-6633	514	1	j. pure	PERSON
ejpam-6633	514	2	18	CARDINAL
ejpam-6633	514	3	3	CARDINAL
ejpam-6633	514	4	2025	CARDINAL
ejpam-6633	514	5	6633 20	DATE
ejpam-6633	514	6	24	CARDINAL
ejpam-6633	514	7	61	CARDINAL
ejpam-6633	518	1	first	ORDINAL
ejpam-6633	518	2	1	CARDINAL
ejpam-6633	518	3	0	DATE
ejpam-6633	518	4	0	DATE
ejpam-6633	520	1	0	CARDINAL
ejpam-6633	520	2	0	DATE
ejpam-6633	521	1	0	CARDINAL
ejpam-6633	521	2	1	CARDINAL
ejpam-6633	521	3	7	CARDINAL
ejpam-6633	522	1	2	CARDINAL
ejpam-6633	525	1	n − 1	ORG
ejpam-6633	525	2	1	CARDINAL
ejpam-6633	525	3	2	CARDINAL
ejpam-6633	525	4	3	DATE
ejpam-6633	527	1	1	CARDINAL
ejpam-6633	527	2	0	CARDINAL
ejpam-6633	527	3	63	DATE
ejpam-6633	527	4	61	CARDINAL
ejpam-6633	530	1	0	CARDINAL
ejpam-6633	530	2	1 γ(β+α	QUANTITY
ejpam-6633	532	1	1	CARDINAL
ejpam-6633	532	2	2	DATE
ejpam-6633	534	1	n − 1	ORG
ejpam-6633	534	2	64	CARDINAL
ejpam-6633	534	3	two	CARDINAL
ejpam-6633	534	4	6-8)	CARDINAL
ejpam-6633	534	5	newton-raphson	ORG
ejpam-6633	536	1	0	CARDINAL
ejpam-6633	536	2	66	CARDINAL
ejpam-6633	536	3	h(k+1	TIME
ejpam-6633	537	1	67	CARDINAL
ejpam-6633	537	2	j(h	PERSON
ejpam-6633	537	3	jacobian	NORP
ejpam-6633	537	4	jpi =	ORG
ejpam-6633	538	1	∂bq	ORG
ejpam-6633	539	1	h(0	PERSON
ejpam-6633	539	2	a)(ξ2 − ξ1	PERSON
ejpam-6633	539	3	7	CARDINAL
ejpam-6633	540	1	67	CARDINAL
ejpam-6633	542	1	31	CARDINAL
ejpam-6633	543	1	2	CARDINAL
ejpam-6633	543	2	chd	ORG
ejpam-6633	543	3	68	CARDINAL
ejpam-6633	543	4	69	CARDINAL
ejpam-6633	544	1	1	CARDINAL
ejpam-6633	544	2	70	CARDINAL
ejpam-6633	544	3	a. s. hasan	PERSON
ejpam-6633	544	4	s. a. murad	PERSON
ejpam-6633	545	1	j. pure	PERSON
ejpam-6633	545	2	18	CARDINAL
ejpam-6633	545	3	3	CARDINAL
ejpam-6633	545	4	2025	CARDINAL
ejpam-6633	545	5	6633 21	DATE
ejpam-6633	545	6	24	DATE
ejpam-6633	547	1	0.5	CARDINAL
ejpam-6633	547	2	0.1	CARDINAL
ejpam-6633	547	3	68-70	CARDINAL
ejpam-6633	548	1	68-70	CARDINAL
ejpam-6633	548	2	3)a	CARDINAL
ejpam-6633	548	3	512	CARDINAL
ejpam-6633	548	4	1e-06	CARDINAL
ejpam-6633	548	5	4th	ORDINAL
ejpam-6633	549	1	3	CARDINAL
ejpam-6633	549	2	68-70	CARDINAL
ejpam-6633	549	3	0.1	CARDINAL
ejpam-6633	549	4	0.5	CARDINAL
ejpam-6633	549	5	512	CARDINAL
ejpam-6633	549	6	0.9	CARDINAL
ejpam-6633	549	7	0.8	CARDINAL
ejpam-6633	551	1	4	CARDINAL
ejpam-6633	551	2	68-70	CARDINAL
ejpam-6633	551	3	0.9	CARDINAL
ejpam-6633	551	4	0.92	CARDINAL
ejpam-6633	551	5	0.8	CARDINAL
ejpam-6633	551	6	8.2	CARDINAL
ejpam-6633	552	1	3	CARDINAL
ejpam-6633	552	2	chd	ORG
ejpam-6633	555	1	0	CARDINAL
ejpam-6633	555	2	72	CARDINAL
ejpam-6633	555	3	1	CARDINAL
ejpam-6633	556	1	73	CARDINAL
ejpam-6633	558	1	+ 1	DATE
ejpam-6633	558	2	0.5	CARDINAL
ejpam-6633	558	3	0.1	CARDINAL
ejpam-6633	558	4	71-73	CARDINAL
ejpam-6633	561	1	a. s. hasan	PERSON
ejpam-6633	561	2	s. a. murad	PERSON
ejpam-6633	562	1	j. pure	PERSON
ejpam-6633	562	2	18	CARDINAL
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ejpam-6633	603	2	2(148):57	CARDINAL
ejpam-6633	603	3	74, 1870	DATE
ejpam-6633	604	1	10	CARDINAL
ejpam-6633	605	1	anwendungen der	PERSON
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ejpam-6633	607	1	11	CARDINAL
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ejpam-6633	610	1	12	CARDINAL
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ejpam-6633	623	2	30(1):120–130	DATE
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ejpam-6633	644	2	17(6):194	CARDINAL
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ejpam-6633	645	1	24	CARDINAL
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ejpam-6633	655	2	91:39–46	CARDINAL
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ejpam-6633	656	1	28	CARDINAL
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ejpam-6633	658	1	fundamenta mathematicae	ORG
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ejpam-6633	662	1	30	CARDINAL
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