id	sid	eid	entity	type
ma-245	1	1	2024	CARDINAL
ma-245	2	1	j. math	PERSON
ma-245	4	1	4 (2024	CARDINAL
ma-245	4	2	18doi	CARDINAL
ma-245	4	3	10.28924	CARDINAL
ma-245	4	4	jacobi mate	PERSON
ma-245	4	5	i. cuza	PERSON
ma-245	4	6	700506	DATE
ma-245	4	7	romania mcrasm@uaic.ro	GPE
ma-245	5	1	jacobi mate	PERSON
ma-245	6	1	1	CARDINAL
ma-245	7	1	2	CARDINAL
ma-245	7	2	chapter 6	LAW
ma-245	7	3	first	ORDINAL
ma-245	7	4	two	CARDINAL
ma-245	7	5	jacobi	ORG
ma-245	7	6	second	ORDINAL
ma-245	8	1	1	CARDINAL
ma-245	10	1	second	ORDINAL
ma-245	11	1	jacobi mate	PERSON
ma-245	13	1	three	CARDINAL
ma-245	16	1	2	CARDINAL
ma-245	16	2	first	ORDINAL
ma-245	17	1	〉	CARDINAL
ma-245	17	2	28	CARDINAL
ma-245	17	3	2024	DATE
ma-245	19	1	jacobi	PERSON
ma-245	20	1	j. math	PERSON
ma-245	22	1	10.28924	CARDINAL
ma-245	22	2	〉	CARDINAL
ma-245	23	1	0 ≤	MONEY
ma-245	24	1	〉	CARDINAL
ma-245	25	1	2.1	CARDINAL
ma-245	25	2	⊆	CARDINAL
ma-245	26	1	x(t	PERSON
ma-245	26	2	y(t	GPE
ma-245	26	3	∈	ORG
ma-245	26	4	0	CARDINAL
ma-245	26	5	2.2	CARDINAL
ma-245	28	1	0	CARDINAL
ma-245	28	2	0]→	CARDINAL
ma-245	28	3	0	CARDINAL
ma-245	28	4	∈	ORG
ma-245	29	1	2.3	CARDINAL
ma-245	29	2	x(t	PERSON
ma-245	29	3	y(t	GPE
ma-245	29	4	cos t	LOC
ma-245	30	1	2.4)we	CARDINAL
ma-245	30	2	minkowski	PERSON
ma-245	30	3	first	ORDINAL
ma-245	33	1	0	CARDINAL
ma-245	33	2	r∗+ =	PERSON
ma-245	35	1	1 p(t	TIME
ma-245	35	2	1	CARDINAL
ma-245	35	3	0	CARDINAL
ma-245	35	4	2.5	CARDINAL
ma-245	35	5	cos t	GPE
ma-245	37	1	− cos t,−	ORG
ma-245	37	2	2.6)which	DATE
ma-245	37	3	two	CARDINAL
ma-245	39	1	2π	CARDINAL
ma-245	41	1	1 2	CARDINAL
ma-245	41	2	2π	CARDINAL
ma-245	42	1	1 2	CARDINAL
ma-245	42	2	2π	CARDINAL
ma-245	42	3	2.8	CARDINAL
ma-245	42	4	2.8	CARDINAL
ma-245	42	5	the circleas oval	GPE
ma-245	42	6	3.4	CARDINAL
ma-245	43	1	2.1	CARDINAL
ma-245	44	1	t)− p(t)n(t	ORG
ma-245	45	1	2.9	CARDINAL
ma-245	45	2	1	CARDINAL
ma-245	45	3	6	CARDINAL
ma-245	46	1	2π	CARDINAL
ma-245	46	2	one	CARDINAL
ma-245	47	1	x(c	PERSON
ma-245	48	1	j. math	PERSON
ma-245	50	1	10.28924	CARDINAL
ma-245	50	2	6	CARDINAL
ma-245	50	3	420	CARDINAL
ma-245	51	1	x(c)→ x(c	PERSON
ma-245	53	1	2.10	CARDINAL
ma-245	53	2	fermi-walker	ORG
ma-245	55	1	0	CARDINAL
ma-245	56	1	r)(t	NORP
ma-245	58	1	2.11	CARDINAL
ma-245	58	2	r)(t	NORP
ma-245	59	1	w	GPE
ma-245	60	1	t + l 2	DATE
ma-245	62	1	1	CARDINAL
ma-245	62	2	ofa	ORG
ma-245	63	1	2 3	DATE
ma-245	64	1	jacobi mate	PERSON
ma-245	64	2	ρ ∈	ORG
ma-245	64	3	−1	CARDINAL
ma-245	64	4	1	CARDINAL
ma-245	64	5	7	CARDINAL
ma-245	64	6	130]):	CARDINAL
ma-245	65	1	1	CARDINAL
ma-245	65	2	wu	PERSON
ma-245	65	3	v(0	PERSON
ma-245	65	4	dw	ORG
ma-245	66	1	2uv	ORDINAL
ma-245	67	1	1	CARDINAL
ma-245	67	2	3.1	CARDINAL
ma-245	67	3	jacobi	ORG
ma-245	67	4	ρ	PERSON
ma-245	67	5	sn	ORG
ma-245	68	1	3.1	CARDINAL
ma-245	68	2	two	CARDINAL
ma-245	68	3	u2 + v2	PERSON
ma-245	68	4	1	CARDINAL
ma-245	68	5	1	CARDINAL
ma-245	69	1	3.2	CARDINAL
ma-245	69	2	7	CARDINAL
ma-245	69	3	131	CARDINAL
ma-245	70	1	l̃	ORG
ma-245	71	1	1	CARDINAL
ma-245	71	2	1− s2)(1− ρ2s2	DATE
ma-245	71	3	3.3	CARDINAL
ma-245	71	4	w	ORG
ma-245	71	5	2l̃.	CARDINAL
ma-245	71	6	arcsin	PERSON
ma-245	72	1	2	CARDINAL
ma-245	72	2	sn	ORG
ma-245	73	1	ρ′	DATE
ma-245	74	1	∈	ORG
ma-245	74	2	0	CARDINAL
ma-245	74	3	1	CARDINAL
ma-245	74	4	third	ORDINAL
ma-245	75	1	3.4	CARDINAL
ma-245	75	2	ρ′	DATE
ma-245	75	3	1√ 2	DATE
ma-245	75	4	0	CARDINAL
ma-245	75	5	1	CARDINAL
ma-245	75	6	5	CARDINAL
ma-245	77	1	j. math	PERSON
ma-245	79	1	10.28924	CARDINAL
ma-245	79	2	jacobi	PERSON
ma-245	82	1	3.5	CARDINAL
ma-245	82	2	3.1	CARDINAL
ma-245	84	1	p(t)u(t)−	NORP
ma-245	84	2	∈	ORG
ma-245	86	1	0	CARDINAL
ma-245	87	1	3.6)since	CARDINAL
ma-245	87	2	′(t)u(t)(1−	PRODUCT
ma-245	89	1	∈	ORG
ma-245	90	1	′′u(1− 2w	LAW
ma-245	91	1	2w	CARDINAL
ma-245	92	1	2w	CARDINAL
ma-245	93	1	+ 2w)−	DATE
ma-245	93	2	3.9	CARDINAL
ma-245	93	3	rj	PERSON
ma-245	93	4	first	ORDINAL
ma-245	93	5	the chapter 2	LAW
ma-245	93	6	3	CARDINAL
ma-245	96	1	2ρu(t)v(t)[−i	CARDINAL
ma-245	97	1	2w	CARDINAL
ma-245	98	1	′′	ORG
ma-245	98	2	2|ρ||u(t)||v(t)|‖r(t)‖.	TIME
ma-245	99	1	0	CARDINAL
ma-245	100	1	3.2	CARDINAL
ma-245	100	2	8	CARDINAL
ma-245	100	3	jacobi	PERSON
ma-245	100	4	p(t	PERSON
ma-245	102	1	℘′(u	DATE
ma-245	103	1	4x3	CARDINAL
ma-245	103	2	9	CARDINAL
ma-245	103	3	77	CARDINAL
ma-245	104	1	2	CARDINAL
ma-245	104	2	3.3	CARDINAL
ma-245	104	3	kp	ORG
ma-245	106	1	3 2	CARDINAL
ma-245	107	1	3.11	CARDINAL
ma-245	108	1	j. math	PERSON
ma-245	110	1	10.28924	CARDINAL
ma-245	110	2	r(t0	ORG
ma-245	112	1	kp	ORG
ma-245	113	1	−1	DATE
ma-245	114	1	p′(t0))2	NORP
ma-245	114	2	kj	PERSON
ma-245	114	3	w)p′′′ −	PRODUCT
ma-245	117	1	1)](pw	CARDINAL
ma-245	119	1	3 2	DATE
ma-245	119	2	zero	CARDINAL
ma-245	119	3	w ≡ 1	ORG
ma-245	119	4	kj	ORG
ma-245	119	5	2.5	CARDINAL
ma-245	120	1	3.2	CARDINAL
ma-245	120	2	∂2kj(t	PERSON
ma-245	120	3	|ρ=0	DATE
ma-245	121	1	3.13	CARDINAL
ma-245	122	1	3.4	CARDINAL
ma-245	122	2	c(o	PRODUCT
ma-245	122	3	2r	CARDINAL
ma-245	123	1	ρ-jacobi mate	ORG
ma-245	123	2	kj = k ≡ 1 r	PERSON
ma-245	123	3	ci rcle ′ j	PERSON
ma-245	126	1	3.15	CARDINAL
ma-245	126	2	2.6	CARDINAL
ma-245	130	1	3.16	CARDINAL
ma-245	131	1	w−1	GPE
ma-245	132	1	0	CARDINAL
ma-245	133	1	3.17	CARDINAL
ma-245	133	2	l̃	ORG
ma-245	133	3	3.3	CARDINAL
ma-245	133	4	l̃	PERSON
ma-245	133	5	1√ 2	CARDINAL
ma-245	133	6	1.85	CARDINAL
ma-245	133	7	π 2 ' 1.57	ORG
ma-245	133	8	3.18	CARDINAL
ma-245	133	9	second	ORDINAL
ma-245	133	10	3.2	CARDINAL
ma-245	133	11	0	CARDINAL
ma-245	133	12	second	ORDINAL
ma-245	133	13	w(t	PERSON
ma-245	133	14	scircle	PERSON
ma-245	134	1	3.19	CARDINAL
ma-245	134	2	second	ORDINAL
ma-245	134	3	zeros	CARDINAL
ma-245	134	4	3l̃	CARDINAL
ma-245	134	5	2	CARDINAL
ma-245	134	6	3.5	CARDINAL
ma-245	135	1	− cos 3	PERSON
ma-245	137	1	w	ORG
ma-245	137	2	2r	CARDINAL
ma-245	138	1	4	CARDINAL
ma-245	138	2	23	CARDINAL
ma-245	138	3	8	CARDINAL
ma-245	138	4	8	CARDINAL
ma-245	139	1	4	CARDINAL
ma-245	139	2	1	CARDINAL
ma-245	139	3	0	DATE
ma-245	140	1	j. math	PERSON
ma-245	142	1	10.28924	CARDINAL
ma-245	142	2	3	CARDINAL
ma-245	142	3	+ 1	DATE
ma-245	142	4	0	DATE
ma-245	142	5	0	CARDINAL
ma-245	143	1	2	CARDINAL
ma-245	144	1	3	CARDINAL
ma-245	144	2	3	CARDINAL
ma-245	144	3	9	CARDINAL
ma-245	144	4	3	CARDINAL
ma-245	144	5	3	CARDINAL
ma-245	145	1	kp	ORG
ma-245	147	1	3 2	CARDINAL
ma-245	147	2	1	CARDINAL
ma-245	147	3	3	CARDINAL
ma-245	147	4	1	CARDINAL
ma-245	147	5	1	CARDINAL
ma-245	147	6	8	CARDINAL
ma-245	148	1	3.21	CARDINAL
ma-245	148	2	kp	ORG
ma-245	148	3	2	CARDINAL
ma-245	150	1	2πr	ORDINAL
ma-245	151	1	− 4	PERSON
ma-245	151	2	60π	CARDINAL
ma-245	152	1	3.22	CARDINAL
ma-245	153	1	3	CARDINAL
ma-245	153	2	2π	CARDINAL
ma-245	154	1	3	CARDINAL
ma-245	154	2	2π	CARDINAL
ma-245	155	1	40.09	CARDINAL
ma-245	155	2	3.23	CARDINAL
ma-245	156	1	3	CARDINAL
ma-245	156	2	cay	PERSON
ma-245	157	1	t(cos 3	LOC
ma-245	157	2	3	CARDINAL
ma-245	158	1	0	CARDINAL
ma-245	158	2	2π	CARDINAL
ma-245	158	3	l(cay ley	PERSON
ma-245	158	4	3π	CARDINAL
ma-245	159	1	3.24	CARDINAL
ma-245	159	2	9(sin	CARDINAL
ma-245	160	1	3t)2[1−	CARDINAL
ma-245	161	1	9	CARDINAL
ma-245	161	2	3	CARDINAL
ma-245	161	3	− cos 3t)]2	ORG
ma-245	161	4	0	CARDINAL
ma-245	161	5	9−	CARDINAL
ma-245	161	6	3t)2	CARDINAL
ma-245	161	7	3t)2	CARDINAL
ma-245	162	1	3.25	CARDINAL
ma-245	162	2	2	CARDINAL
ma-245	162	3	3.6	CARDINAL
ma-245	163	1	2π	CARDINAL
ma-245	164	1	0	CARDINAL
ma-245	164	2	2π]→	CARDINAL
ma-245	164	3	r∗+	NORP
ma-245	164	4	1 α √ α4	CARDINAL
ma-245	165	1	′′ α(t	ORG
ma-245	165	2	3 2	CARDINAL
ma-245	165	3	0	CARDINAL
ma-245	166	1	3.26	CARDINAL
ma-245	166	2	2pα	ORDINAL
ma-245	167	1	45.51	CARDINAL
ma-245	168	1	3.8	CARDINAL
ma-245	168	2	1)2	ORDINAL
ma-245	168	3	2α2(α4	CARDINAL
ma-245	168	4	t)	DATE
ma-245	169	1	t)3	DATE
ma-245	170	1	3.27	CARDINAL
ma-245	170	2	first	ORDINAL
ma-245	172	1	3.28	CARDINAL
ma-245	172	2	1	CARDINAL
ma-245	172	3	1	CARDINAL
ma-245	173	1	8	CARDINAL
ma-245	173	2	2	CARDINAL
ma-245	174	1	j. math	PERSON
ma-245	176	1	10.28924	CARDINAL
ma-245	176	2	1	CARDINAL
ma-245	176	3	j. arroyo	PERSON
ma-245	176	4	o. j. garay	PERSON
ma-245	176	5	j. j. mencia	PERSON
ma-245	177	1	115 (2005	DATE
ma-245	177	2	405	CARDINAL
ma-245	177	3	h. alencar	PERSON
ma-245	177	4	w. santos	PERSON
ma-245	177	5	g. silva neto	PERSON
ma-245	177	6	american	NORP
ma-245	177	7	rhode island	GPE
ma-245	177	8	2022	CARDINAL
ma-245	178	1	b. andrews	PERSON
ma-245	178	2	b. chow	PERSON
ma-245	178	3	c. guenther	PERSON
ma-245	178	4	m. langford	PERSON
ma-245	178	5	american mathematical society	ORG
ma-245	178	6	rhode island	GPE
ma-245	178	7	2020	DATE
ma-245	179	1	https://doi.org/10.1090/gsm/206.[4	ORG
ma-245	179	2	w. cieślak	PERSON
ma-245	179	3	w. mozgawa	PERSON
ma-245	181	1	sci	ORG
ma-245	182	1	lettr.łódź	DATE
ma-245	182	2	sér	ORG
ma-245	183	1	rech	ORG
ma-245	184	1	déform	PERSON
ma-245	185	1	67	CARDINAL
ma-245	185	2	2017	CARDINAL
ma-245	185	3	21-30	DATE
ma-245	186	1	m. crasmareanu	PERSON
ma-245	187	1	univ	NORP
ma-245	188	1	al.	ORG
ma-245	188	2	i. cuza iaşimat	PERSON
ma-245	189	1	67	CARDINAL
ma-245	189	2	2021	CARDINAL
ma-245	189	3	129	CARDINAL
ma-245	189	4	m. crasmareanu	PERSON
ma-245	190	1	fac	ORG
ma-245	190	2	sci.	ORG
ma-245	190	3	univ	GPE
ma-245	191	1	ankara ser	GPE
ma-245	192	1	72	CARDINAL
ma-245	192	2	2023	CARDINAL
ma-245	192	3	417-428	CARDINAL
ma-245	193	1	l.m. bates	ORG
ma-245	193	2	springer basel	GPE
ma-245	193	3	basel	GPE
ma-245	193	4	2015	DATE
ma-245	194	1	https	PERSON
ma-245	194	2	//doi.org/10.1007/978-3-0348-0918-4.[8	CARDINAL
ma-245	196	1	amer	PERSON
ma-245	198	1	41	CARDINAL
ma-245	198	2	307–336	CARDINAL
ma-245	199	1	r. takloo	PERSON
ma-245	199	2	springer, cham, 2018	ORG
ma-245	200	1	https://doi.org/10.1007/978-3-030-02604-2	ORG
ma-245	201	1	https://doi.org/10.31801/cfsuasmas.1165123 https://doi.org/10.1007/978-3-0348-0918-4 https://doi.org/10.1007/978-3-0348-0918-4 https://doi.org/10.1090/s0273-0979-04-01024-9	ORG
ma-245	202	1	2	CARDINAL
ma-245	203	1	3	CARDINAL
ma-245	204	1	jacobi mate	PERSON