id	sid	eid	entity	type
ejpam-5875	1	1	european journal	ORG
ejpam-5875	1	2	2025	DATE
ejpam-5875	1	3	18	CARDINAL
ejpam-5875	1	4	2	CARDINAL
ejpam-5875	1	5	5875	CARDINAL
ejpam-5875	1	6	1307-5543	CARDINAL
ejpam-5875	1	7	new york	GPE
ejpam-5875	1	8	3	CARDINAL
ejpam-5875	1	9	noha elsharkawy1 1	PERSON
ejpam-5875	1	10	university of tanta	ORG
ejpam-5875	1	11	tanta	GPE
ejpam-5875	1	12	egypt	GPE
ejpam-5875	2	1	three	CARDINAL
ejpam-5875	4	1	3	CARDINAL
ejpam-5875	4	2	3	CARDINAL
ejpam-5875	9	1	3	CARDINAL
ejpam-5875	12	1	2020	DATE
ejpam-5875	12	2	51a05	CARDINAL
ejpam-5875	12	3	53a35	CARDINAL
ejpam-5875	12	4	3	CARDINAL
ejpam-5875	13	1	1	CARDINAL
ejpam-5875	13	2	cayley	ORG
ejpam-5875	13	3	klein	GPE
ejpam-5875	14	1	1	CARDINAL
ejpam-5875	15	1	zero	CARDINAL
ejpam-5875	15	2	2–4	CARDINAL
ejpam-5875	17	1	https://doi.org/10.29020/nybg.ejpam.v18i2.5875	PERSON
ejpam-5875	18	1	a. elsharkawy	PERSON
ejpam-5875	18	2	1	CARDINAL
ejpam-5875	18	3	2025	CARDINAL
ejpam-5875	19	1	n. elsharkawy	PERSON
ejpam-5875	20	1	j. pure	PERSON
ejpam-5875	20	2	18	CARDINAL
ejpam-5875	20	3	2	CARDINAL
ejpam-5875	20	4	2025	CARDINAL
ejpam-5875	20	5	5875 2	DATE
ejpam-5875	20	6	15	CARDINAL
ejpam-5875	21	1	5	CARDINAL
ejpam-5875	21	2	6	CARDINAL
ejpam-5875	23	1	15	CARDINAL
ejpam-5875	23	2	16	CARDINAL
ejpam-5875	24	1	17	CARDINAL
ejpam-5875	24	2	17	CARDINAL
ejpam-5875	24	3	18	CARDINAL
ejpam-5875	24	4	2	CARDINAL
ejpam-5875	24	5	3	DATE
ejpam-5875	24	6	12	DATE
ejpam-5875	24	7	13	CARDINAL
ejpam-5875	24	8	5	CARDINAL
ejpam-5875	24	9	6	DATE
ejpam-5875	24	10	10	DATE
ejpam-5875	24	11	11	CARDINAL
ejpam-5875	25	1	three	CARDINAL
ejpam-5875	30	1	dede et al	ORG
ejpam-5875	31	1	25	CARDINAL
ejpam-5875	34	1	zero	CARDINAL
ejpam-5875	36	1	26–30	CARDINAL
ejpam-5875	36	2	four	CARDINAL
ejpam-5875	37	1	31–34	CARDINAL
ejpam-5875	38	1	section 2	LAW
ejpam-5875	39	1	section 3	LAW
ejpam-5875	39	2	3	CARDINAL
ejpam-5875	40	1	section 4	LAW
ejpam-5875	40	2	3	CARDINAL
ejpam-5875	41	1	3	CARDINAL
ejpam-5875	42	1	2	CARDINAL
ejpam-5875	43	1	three	CARDINAL
ejpam-5875	43	2	g3	ORG
ejpam-5875	43	3	0	CARDINAL
ejpam-5875	43	4	0,+,+	DATE
ejpam-5875	44	1	ω	ORDINAL
ejpam-5875	44	2	ω	ORDINAL
ejpam-5875	44	3	g3	ORG
ejpam-5875	44	4	ω	GPE
ejpam-5875	44	5	g3	ORG
ejpam-5875	44	6	31	CARDINAL
ejpam-5875	44	7	32	CARDINAL
ejpam-5875	45	1	1	CARDINAL
ejpam-5875	46	1	the galilean metric g	PRODUCT
ejpam-5875	46	2	a. elsharkawy	PERSON
ejpam-5875	46	3	n. elsharkawy	PERSON
ejpam-5875	47	1	j. pure	PERSON
ejpam-5875	47	2	18	CARDINAL
ejpam-5875	47	3	2	CARDINAL
ejpam-5875	47	4	2025	CARDINAL
ejpam-5875	47	5	5875 3	DATE
ejpam-5875	47	6	15	CARDINAL
ejpam-5875	47	7	g(p	PERSON
ejpam-5875	47	8	0	CARDINAL
ejpam-5875	48	1	0	CARDINAL
ejpam-5875	49	1	0	CARDINAL
ejpam-5875	50	1	11	CARDINAL
ejpam-5875	50	2	35	CARDINAL
ejpam-5875	51	1	g3	ORG
ejpam-5875	52	1	x(t	PERSON
ejpam-5875	52	2	y(t	GPE
ejpam-5875	52	3	z(t	ORG
ejpam-5875	53	1	γ̇(t	ORG
ejpam-5875	53	2	∈	ORG
ejpam-5875	54	1	11	CARDINAL
ejpam-5875	55	1	j ⊂	PERSON
ejpam-5875	56	1	z(s	GPE
ejpam-5875	57	1	κ(s	ORG
ejpam-5875	57	2	γ(s	PRODUCT
ejpam-5875	57	3	∥γ′′(s)∥ = √ y′′2(s	PERSON
ejpam-5875	57	4	+ z′′2(s	PERSON
ejpam-5875	57	5	γ′′(s	CARDINAL
ejpam-5875	57	6	γ′′′(s	ORG
ejpam-5875	57	7	κ2(s	PERSON
ejpam-5875	58	1	n(s	GPE
ejpam-5875	58	2	γ(s	PRODUCT
ejpam-5875	59	1	1	CARDINAL
ejpam-5875	59	2	n(s	GPE
ejpam-5875	59	3	1	CARDINAL
ejpam-5875	59	4	γ′′(s	CARDINAL
ejpam-5875	59	5	1	CARDINAL
ejpam-5875	59	6	y′′(s	GPE
ejpam-5875	59	7	z′′(s	ORG
ejpam-5875	59	8	a. elsharkawy	PERSON
ejpam-5875	59	9	n. elsharkawy	PERSON
ejpam-5875	60	1	j. pure	PERSON
ejpam-5875	60	2	18	CARDINAL
ejpam-5875	60	3	2	CARDINAL
ejpam-5875	60	4	2025	CARDINAL
ejpam-5875	60	5	5875 4	DATE
ejpam-5875	60	6	15	CARDINAL
ejpam-5875	61	1	1	CARDINAL
ejpam-5875	61	2	y′′(s	PERSON
ejpam-5875	63	1	0	CARDINAL
ejpam-5875	63	2	0	CARDINAL
ejpam-5875	64	1	0	CARDINAL
ejpam-5875	65	1	2.1	CARDINAL
ejpam-5875	65	2	3	CARDINAL
ejpam-5875	66	1	three	CARDINAL
ejpam-5875	67	1	α(s	PERSON
ejpam-5875	68	1	g3	ORG
ejpam-5875	69	1	three	CARDINAL
ejpam-5875	70	1	∥α′∥	GPE
ejpam-5875	70	2	× z ∥t × z∥	ORG
ejpam-5875	70	3	3.1	CARDINAL
ejpam-5875	70	4	1	CARDINAL
ejpam-5875	70	5	0	DATE
ejpam-5875	70	6	0	DATE
ejpam-5875	70	7	0	CARDINAL
ejpam-5875	70	8	1	DATE
ejpam-5875	70	9	0	DATE
ejpam-5875	70	10	0	CARDINAL
ejpam-5875	70	11	0	DATE
ejpam-5875	70	12	1	CARDINAL
ejpam-5875	73	1	3.2	CARDINAL
ejpam-5875	74	1	3.3	CARDINAL
ejpam-5875	74	2	− sin(θ)bq	PERSON
ejpam-5875	74	3	3.4	CARDINAL
ejpam-5875	74	4	+ cos(θ)bq	GPE
ejpam-5875	75	1	3.5	CARDINAL
ejpam-5875	75	2	− sin(θ)bq	PERSON
ejpam-5875	77	1	3.6	CARDINAL
ejpam-5875	78	1	a. elsharkawy	PERSON
ejpam-5875	78	2	n. elsharkawy	PERSON
ejpam-5875	79	1	j. pure	PERSON
ejpam-5875	79	2	18	CARDINAL
ejpam-5875	79	3	2	CARDINAL
ejpam-5875	79	4	2025	CARDINAL
ejpam-5875	79	5	5875 5	DATE
ejpam-5875	79	6	15	CARDINAL
ejpam-5875	79	7	k3bq	PERSON
ejpam-5875	79	8	3.7	CARDINAL
ejpam-5875	79	9	θ′ + τ	DATE
ejpam-5875	82	1	0	CARDINAL
ejpam-5875	83	1	0	CARDINAL
ejpam-5875	84	1	3.8	CARDINAL
ejpam-5875	84	2	1	CARDINAL
ejpam-5875	85	1	α(s	PERSON
ejpam-5875	85	2	g3	ORG
ejpam-5875	88	1	2	CARDINAL
ejpam-5875	90	1	4	CARDINAL
ejpam-5875	90	2	three	CARDINAL
ejpam-5875	94	1	α(s	PERSON
ejpam-5875	95	1	α(s	PERSON
ejpam-5875	96	1	4.1	CARDINAL
ejpam-5875	97	1	4.1	CARDINAL
ejpam-5875	97	2	3.8	CARDINAL
ejpam-5875	97	3	1	CARDINAL
ejpam-5875	97	4	4.2	CARDINAL
ejpam-5875	98	1	2	CARDINAL
ejpam-5875	98	2	0	CARDINAL
ejpam-5875	98	3	4.3	CARDINAL
ejpam-5875	98	4	+m′ 3	DATE
ejpam-5875	98	5	0	CARDINAL
ejpam-5875	99	1	4.4	CARDINAL
ejpam-5875	99	2	4.2	CARDINAL
ejpam-5875	100	1	4.5	CARDINAL
ejpam-5875	101	1	a. elsharkawy	PERSON
ejpam-5875	101	2	n. elsharkawy	PERSON
ejpam-5875	102	1	j. pure	PERSON
ejpam-5875	102	2	18	CARDINAL
ejpam-5875	102	3	2	CARDINAL
ejpam-5875	102	4	2025	CARDINAL
ejpam-5875	102	5	5875 6	DATE
ejpam-5875	102	6	15	CARDINAL
ejpam-5875	102	7	4.5	CARDINAL
ejpam-5875	102	8	4.3	CARDINAL
ejpam-5875	103	1	4.6	CARDINAL
ejpam-5875	103	2	4.6	CARDINAL
ejpam-5875	103	3	′ 1	TIME
ejpam-5875	104	1	2]−k	CARDINAL
ejpam-5875	108	1	4.7	CARDINAL
ejpam-5875	110	1	1	CARDINAL
ejpam-5875	110	2	4.7	CARDINAL
ejpam-5875	110	3	4.4	CARDINAL
ejpam-5875	111	1	0,k3	CARDINAL
ejpam-5875	112	1	second	ORDINAL
ejpam-5875	112	2	2	CARDINAL
ejpam-5875	113	1	3m2	CARDINAL
ejpam-5875	113	2	0	CARDINAL
ejpam-5875	114	1	c1 cos as+ c2	PERSON
ejpam-5875	114	2	4.8	CARDINAL
ejpam-5875	114	3	4.8	CARDINAL
ejpam-5875	114	4	0,k3	CARDINAL
ejpam-5875	114	5	4.6	CARDINAL
ejpam-5875	115	1	−c1	CARDINAL
ejpam-5875	115	2	sin as+ c2 cos	ORG
ejpam-5875	116	1	4.9	CARDINAL
ejpam-5875	116	2	α(s	PERSON
ejpam-5875	118	1	c1 cos as+ c2 sin as)nq +	ORG
ejpam-5875	118	2	−c1 cos as+	ORG
ejpam-5875	119	1	2	CARDINAL
ejpam-5875	119	2	4.3	CARDINAL
ejpam-5875	120	1	α(s	PERSON
ejpam-5875	122	1	4.4	CARDINAL
ejpam-5875	122	2	first	ORDINAL
ejpam-5875	126	1	4.10	CARDINAL
ejpam-5875	126	2	1	CARDINAL
ejpam-5875	126	3	1	CARDINAL
ejpam-5875	128	1	4.11	CARDINAL
ejpam-5875	128	2	a. elsharkawy	PERSON
ejpam-5875	128	3	n. elsharkawy	PERSON
ejpam-5875	129	1	j. pure	PERSON
ejpam-5875	129	2	18	CARDINAL
ejpam-5875	129	3	2	CARDINAL
ejpam-5875	129	4	2025	CARDINAL
ejpam-5875	129	5	5875 7	DATE
ejpam-5875	129	6	15	CARDINAL
ejpam-5875	129	7	3	CARDINAL
ejpam-5875	129	8	4.4	CARDINAL
ejpam-5875	130	1	4.12	CARDINAL
ejpam-5875	130	2	α(s	PERSON
ejpam-5875	133	1	4.12	CARDINAL
ejpam-5875	133	2	4.3	CARDINAL
ejpam-5875	133	3	first	ORDINAL
ejpam-5875	136	1	1	CARDINAL
ejpam-5875	137	1	4.13	CARDINAL
ejpam-5875	137	2	3	CARDINAL
ejpam-5875	139	1	0,k3	CARDINAL
ejpam-5875	140	1	4.2	CARDINAL
ejpam-5875	140	2	4.3	CARDINAL
ejpam-5875	140	3	4.4	CARDINAL
ejpam-5875	140	4	1	CARDINAL
ejpam-5875	140	5	4.14	CARDINAL
ejpam-5875	140	6	2	CARDINAL
ejpam-5875	140	7	0	CARDINAL
ejpam-5875	140	8	4.15	CARDINAL
ejpam-5875	141	1	0	CARDINAL
ejpam-5875	142	1	4.16	CARDINAL
ejpam-5875	142	2	+ s.	PERSON
ejpam-5875	142	3	2	CARDINAL
ejpam-5875	142	4	m3	CARDINAL
ejpam-5875	144	1	4.11	CARDINAL
ejpam-5875	146	1	3	CARDINAL
ejpam-5875	146	2	4.16	CARDINAL
ejpam-5875	146	3	0	CARDINAL
ejpam-5875	146	4	4.15	CARDINAL
ejpam-5875	146	5	s)κds	ORG
ejpam-5875	147	1	4.13	CARDINAL
ejpam-5875	149	1	34	CARDINAL
ejpam-5875	150	1	a. elsharkawy	PERSON
ejpam-5875	150	2	n. elsharkawy	PERSON
ejpam-5875	151	1	j. pure	PERSON
ejpam-5875	151	2	18	CARDINAL
ejpam-5875	151	3	2	CARDINAL
ejpam-5875	151	4	2025	CARDINAL
ejpam-5875	151	5	5875 8	DATE
ejpam-5875	152	1	3	CARDINAL
ejpam-5875	153	1	α(s	PERSON
ejpam-5875	154	1	α(s	PERSON
ejpam-5875	157	1	1	CARDINAL
ejpam-5875	158	1	g3	ORG
ejpam-5875	160	1	the galilean invariant arc length s	ORG
ejpam-5875	162	1	z(s	GPE
ejpam-5875	163	1	1	CARDINAL
ejpam-5875	163	2	z′	PERSON
ejpam-5875	166	1	4	CARDINAL
ejpam-5875	167	1	the galilean invariant arc length s	ORG
ejpam-5875	167	2	gn	ORG
ejpam-5875	168	1	23	CARDINAL
ejpam-5875	169	1	6.	CARDINAL
ejpam-5875	169	2	γ(s	PRODUCT
ejpam-5875	171	1	t	DATE
ejpam-5875	171	2	γ(s	PRODUCT
ejpam-5875	174	1	γ(s	PRODUCT
ejpam-5875	175	1	2	CARDINAL
ejpam-5875	176	1	γ(s	PRODUCT
ejpam-5875	176	2	g3	ORG
ejpam-5875	177	1	γ(s	PRODUCT
ejpam-5875	177	2	g(γ	ORG
ejpam-5875	179	1	g(γ	PRODUCT
ejpam-5875	181	1	a. elsharkawy	PERSON
ejpam-5875	181	2	n. elsharkawy	PERSON
ejpam-5875	182	1	j. pure	PERSON
ejpam-5875	182	2	18	CARDINAL
ejpam-5875	182	3	2	CARDINAL
ejpam-5875	182	4	2025	CARDINAL
ejpam-5875	182	5	5875 9	DATE
ejpam-5875	182	6	15	CARDINAL
ejpam-5875	182	7	γ(s	PRODUCT
ejpam-5875	182	8	γ(s	PRODUCT
ejpam-5875	183	1	6.1	CARDINAL
ejpam-5875	183	2	γ(s	PRODUCT
ejpam-5875	184	1	γ(s	PRODUCT
ejpam-5875	187	1	g(γ	PRODUCT
ejpam-5875	189	1	g(γ	PRODUCT
ejpam-5875	191	1	γ(s	ORG
ejpam-5875	193	1	5	CARDINAL
ejpam-5875	193	2	γ(s	PRODUCT
ejpam-5875	193	3	g3	ORG
ejpam-5875	194	1	g(γ	ORG
ejpam-5875	196	1	g(γ	PRODUCT
ejpam-5875	198	1	3	CARDINAL
ejpam-5875	199	1	γ(s	PRODUCT
ejpam-5875	199	2	g3	ORG
ejpam-5875	201	1	1	CARDINAL
ejpam-5875	201	2	c7	PERSON
ejpam-5875	203	1	γ(s	PRODUCT
ejpam-5875	204	1	0	CARDINAL
ejpam-5875	204	2	4.3	CARDINAL
ejpam-5875	204	3	4.4	CARDINAL
ejpam-5875	204	4	0	CARDINAL
ejpam-5875	205	1	first	ORDINAL
ejpam-5875	207	1	1	CARDINAL
ejpam-5875	208	1	6.2	CARDINAL
ejpam-5875	208	2	6.2	CARDINAL
ejpam-5875	209	1	γ(s)−	ORG
ejpam-5875	211	1	6.3	CARDINAL
ejpam-5875	211	2	n. elsharkawy	PERSON
ejpam-5875	212	1	j. pure	PERSON
ejpam-5875	212	2	18	CARDINAL
ejpam-5875	212	3	2	CARDINAL
ejpam-5875	212	4	2025	CARDINAL
ejpam-5875	212	5	5875 10	DATE
ejpam-5875	212	6	15	CARDINAL
ejpam-5875	212	7	6.3	CARDINAL
ejpam-5875	212	8	6.2	CARDINAL
ejpam-5875	213	1	r′	DATE
ejpam-5875	214	1	0	CARDINAL
ejpam-5875	215	1	γ(s)−	ORG
ejpam-5875	219	1	g3	ORG
ejpam-5875	220	1	6	CARDINAL
ejpam-5875	221	1	γ(s	PRODUCT
ejpam-5875	222	1	g3	ORG
ejpam-5875	223	1	7	CARDINAL
ejpam-5875	223	2	c∗ 7	ORG
ejpam-5875	224	1	η(s	PERSON
ejpam-5875	224	2	g3	ORG
ejpam-5875	225	1	η(s	PERSON
ejpam-5875	226	1	η	ORG
ejpam-5875	226	2	η(s	PERSON
ejpam-5875	227	1	4	CARDINAL
ejpam-5875	228	1	η(s	PERSON
ejpam-5875	228	2	g3	ORG
ejpam-5875	229	1	η	PERSON
ejpam-5875	231	1	g(η	GPE
ejpam-5875	234	1	η(s	PERSON
ejpam-5875	234	2	η(s	PERSON
ejpam-5875	241	1	g(η	GPE
ejpam-5875	243	1	η(s	PERSON
ejpam-5875	243	2	η(s	PERSON
ejpam-5875	246	1	a. elsharkawy	PERSON
ejpam-5875	246	2	n. elsharkawy	PERSON
ejpam-5875	247	1	j. pure	PERSON
ejpam-5875	247	2	18	CARDINAL
ejpam-5875	247	3	2	CARDINAL
ejpam-5875	247	4	2025	CARDINAL
ejpam-5875	247	5	5875 11	DATE
ejpam-5875	247	6	15	CARDINAL
ejpam-5875	248	1	η(s	PERSON
ejpam-5875	250	1	g(η	GPE
ejpam-5875	252	1	5	CARDINAL
ejpam-5875	253	1	η(s	PERSON
ejpam-5875	253	2	g3	ORG
ejpam-5875	255	1	1	CARDINAL
ejpam-5875	257	1	c9	ORG
ejpam-5875	259	1	η(s	PERSON
ejpam-5875	260	1	0	CARDINAL
ejpam-5875	260	2	4.3	CARDINAL
ejpam-5875	260	3	4.4	CARDINAL
ejpam-5875	260	4	0	CARDINAL
ejpam-5875	260	5	7.1	CARDINAL
ejpam-5875	262	1	0	CARDINAL
ejpam-5875	263	1	7.2	CARDINAL
ejpam-5875	263	2	7.1	CARDINAL
ejpam-5875	264	1	first	ORDINAL
ejpam-5875	266	1	1	CARDINAL
ejpam-5875	267	1	7.3	CARDINAL
ejpam-5875	267	2	7.3	CARDINAL
ejpam-5875	269	1	7.4	CARDINAL
ejpam-5875	269	2	equation(7.4	GPE
ejpam-5875	269	3	0	CARDINAL
ejpam-5875	270	1	η(s)−	NORP
ejpam-5875	273	1	η	ORG
ejpam-5875	273	2	g3	ORG
ejpam-5875	275	1	η(s	PERSON
ejpam-5875	275	2	g3	ORG
ejpam-5875	276	1	c∗∗	ORG
ejpam-5875	277	1	a. elsharkawy	PERSON
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ejpam-5875	392	1	10(6):891	DATE
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ejpam-5875	403	2	2014	DATE
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ejpam-5875	405	5	5875 15	DATE
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