id	sid	eid	entity	type
ejpam-8	1	1	european journal	ORG
ejpam-8	2	1	1	CARDINAL
ejpam-8	2	2	2, 2008	DATE
ejpam-8	2	3	3-10	CARDINAL
ejpam-8	2	4	1307-5543	CARDINAL
ejpam-8	3	1	zhu∗†	DATE
ejpam-8	3	2	southwest university	ORG
ejpam-8	3	3	chongqing	GPE
ejpam-8	3	4	400715	DATE
ejpam-8	4	1	china	GPE
ejpam-8	5	1	benjamin	PERSON
ejpam-8	9	1	1	CARDINAL
ejpam-8	9	2	6	CARDINAL
ejpam-8	15	1	manifolds	ORG
ejpam-8	16	1	12	CARDINAL
ejpam-8	18	1	f(u	GPE
ejpam-8	18	2	1.1	CARDINAL
ejpam-8	20	1	1.2	CARDINAL
ejpam-8	20	2	u(t	ORG
ejpam-8	21	1	1.1)-(1.2	DATE
ejpam-8	21	2	1.3	CARDINAL
ejpam-8	23	1	3	CARDINAL
ejpam-8	23	2	2007	DATE
ejpam-8	24	1	chaosheng zhu	PERSON
ejpam-8	25	1	j. pure	PERSON
ejpam-8	25	2	1 (2008	DATE
ejpam-8	25	3	3-10	CARDINAL
ejpam-8	25	4	4	CARDINAL
ejpam-8	25	5	⋃	DATE
ejpam-8	26	1	1.4	CARDINAL
ejpam-8	26	2	1.1)-(1.2	CARDINAL
ejpam-8	27	1	1.1	CARDINAL
ejpam-8	28	1	12	CARDINAL
ejpam-8	29	1	0	CARDINAL
ejpam-8	29	2	⊂	GPE
ejpam-8	29	3	‖uk(t)−	ORG
ejpam-8	29	4	0	CARDINAL
ejpam-8	29	5	1.5	CARDINAL
ejpam-8	30	1	⋃	DATE
ejpam-8	30	2	1.6	CARDINAL
ejpam-8	30	3	1.1)-(1.2	CARDINAL
ejpam-8	32	1	1.7	CARDINAL
ejpam-8	32	2	1.8	CARDINAL
ejpam-8	32	3	u(x	ORG
ejpam-8	32	4	+ 2π	DATE
ejpam-8	32	5	2π	CARDINAL
ejpam-8	34	1	benjamin	PERSON
ejpam-8	34	2	3	CARDINAL
ejpam-8	35	1	1	CARDINAL
ejpam-8	35	2	2	DATE
ejpam-8	35	3	4	CARDINAL
ejpam-8	36	1	5,9–11,13–15	CARDINAL
ejpam-8	39	1	ω=(0,2π	TIME
ejpam-8	40	1	2π	CARDINAL
ejpam-8	40	2	ḣ1 per(ω	PERSON
ejpam-8	41	1	∈	ORG
ejpam-8	41	2	2π	CARDINAL
ejpam-8	41	3	0	CARDINAL
ejpam-8	41	4	u(x	ORG
ejpam-8	41	5	+ 2π	DATE
ejpam-8	42	1	∈	ORG
ejpam-8	42	2	per(ω	ORG
ejpam-8	44	1	0	CARDINAL
ejpam-8	45	1	per(ω	ORG
ejpam-8	45	2	t0 o	DATE
ejpam-8	46	1	chaosheng zhu	PERSON
ejpam-8	47	1	j. pure	PERSON
ejpam-8	47	2	1 (2008	DATE
ejpam-8	47	3	3-10	CARDINAL
ejpam-8	47	4	5	CARDINAL
ejpam-8	47	5	1.1	CARDINAL
ejpam-8	48	1	∈	ORG
ejpam-8	48	2	per(ω	ORG
ejpam-8	49	1	na k = min	PERSON
ejpam-8	49	2	 	PERSON
ejpam-8	49	3	 n	PRODUCT
ejpam-8	50	1	2 ρ2 0c1µ(n +	DATE
ejpam-8	50	2	2	CARDINAL
ejpam-8	50	3	1 2	CARDINAL
ejpam-8	50	4	2	CARDINAL
ejpam-8	50	5	c1µ(n	ORG
ejpam-8	50	6		PERSON
ejpam-8	50	7	c1 = min �	PERSON
ejpam-8	50	8	2	CARDINAL
ejpam-8	50	9	2δ	CARDINAL
ejpam-8	51	1	2	CARDINAL
ejpam-8	52	1	cos kx	PERSON
ejpam-8	53	1	1	CARDINAL
ejpam-8	53	2	2	DATE
ejpam-8	53	3	span{sin kx	PERSON
ejpam-8	53	4	cos kx	PERSON
ejpam-8	53	5	k = 1	PERSON
ejpam-8	53	6	2	DATE
ejpam-8	55	1	per([0,2π])→ hn	PERSON
ejpam-8	56	1	u(x	ORG
ejpam-8	57	1	1.7	CARDINAL
ejpam-8	61	1	2.1	CARDINAL
ejpam-8	64	1	2.2	CARDINAL
ejpam-8	64	2	uk =	GPE
ejpam-8	64	3	qk	ORG
ejpam-8	65	1	q0(x	GPE
ejpam-8	68	1	2.3	CARDINAL
ejpam-8	70	1	+ 2π	DATE
ejpam-8	71	1	2.4	CARDINAL
ejpam-8	71	2	qk n =qn −q2k+1n	PERSON
ejpam-8	71	3	1,2	CARDINAL
ejpam-8	72	1	2.3)-(2.4	TIME
ejpam-8	73	1	1.2	CARDINAL
ejpam-8	73	2	1.5	CARDINAL
ejpam-8	73	3	2.1	CARDINAL
ejpam-8	73	4	2.2	CARDINAL
ejpam-8	74	1	chaosheng zhu	PERSON
ejpam-8	75	1	j. pure	PERSON
ejpam-8	75	2	1 (2008	DATE
ejpam-8	75	3	3-10	CARDINAL
ejpam-8	75	4	6	CARDINAL
ejpam-8	75	5	2.1	CARDINAL
ejpam-8	75	6	u(x	ORG
ejpam-8	76	1	qk	PERSON
ejpam-8	76	2	0,1	CARDINAL
ejpam-8	76	3	2	CARDINAL
ejpam-8	76	4	2.3)-(2.4	ORDINAL
ejpam-8	76	5	n0 ∈ n	ORG
ejpam-8	76	6	0	CARDINAL
ejpam-8	76	7	n0	GPE
ejpam-8	76	8	2 ≤ 2ρ2	QUANTITY
ejpam-8	77	1	0,1	CARDINAL
ejpam-8	77	2	2	CARDINAL
ejpam-8	78	1	2.5	CARDINAL
ejpam-8	78	2	‖qk‖2+δ‖qk	DATE
ejpam-8	78	3	2 ≤	QUANTITY
ejpam-8	78	4	0	CARDINAL
ejpam-8	79	1	2.6	CARDINAL
ejpam-8	79	2	2.6	CARDINAL
ejpam-8	80	1	firstly	ORDINAL
ejpam-8	80	2	2.3	CARDINAL
ejpam-8	80	3	1 2 d d t	QUANTITY
ejpam-8	80	4	x‖ 2	PERSON
ejpam-8	81	1	x‖	ORG
ejpam-8	81	2	2 ≤	QUANTITY
ejpam-8	81	3	3 2	CARDINAL
ejpam-8	81	4	3	CARDINAL
ejpam-8	81	5	2	CARDINAL
ejpam-8	81	6	0‖+	CARDINAL
ejpam-8	86	1	1	CARDINAL
ejpam-8	86	2	2+ 1 2µ(n	TIME
ejpam-8	87	1	0δ	CARDINAL
ejpam-8	87	2	3	CARDINAL
ejpam-8	89	1	x‖ 2	PERSON
ejpam-8	90	1	x‖	DATE
ejpam-8	90	2	2 ≤	CARDINAL
ejpam-8	90	3	0δ	CARDINAL
ejpam-8	90	4	3	CARDINAL
ejpam-8	91	1	µ‖q0	ORG
ejpam-8	91	2	x‖	PRODUCT
ejpam-8	91	3	2	CARDINAL
ejpam-8	91	4	2	CARDINAL
ejpam-8	91	5	2 ≥ � µ(n + 1)2	DATE
ejpam-8	91	6	2δ	CARDINAL
ejpam-8	91	7	2	CARDINAL
ejpam-8	91	8	2	CARDINAL
ejpam-8	91	9	x‖ 2	PERSON
ejpam-8	91	10	0δ	CARDINAL
ejpam-8	91	11	3	CARDINAL
ejpam-8	92	1	2 ≤	MONEY
ejpam-8	92	2	2)e−c1 t	DATE
ejpam-8	93	1	0δ	CARDINAL
ejpam-8	93	2	3	CARDINAL
ejpam-8	93	3	c1µ(n	ORG
ejpam-8	93	4	1− e−c1 t	TIME
ejpam-8	94	1	chaosheng zhu	PERSON
ejpam-8	95	1	j. pure	PERSON
ejpam-8	95	2	1 (2008	DATE
ejpam-8	95	3	3-10	CARDINAL
ejpam-8	95	4	0	CARDINAL
ejpam-8	96	1	3	CARDINAL
ejpam-8	96	2	c1µ(n	ORG
ejpam-8	97	1	2(ρ2	CARDINAL
ejpam-8	97	2	3	CARDINAL
ejpam-8	98	1	2.7	CARDINAL
ejpam-8	98	2	2 ≤	QUANTITY
ejpam-8	99	1	2.8	CARDINAL
ejpam-8	99	2	2 ≤	QUANTITY
ejpam-8	99	3	∀k	DATE
ejpam-8	99	4	2.6	CARDINAL
ejpam-8	100	1	2.4	CARDINAL
ejpam-8	100	2	qk	ORG
ejpam-8	100	3	1 2 d d t	QUANTITY
ejpam-8	100	4	2	CARDINAL
ejpam-8	101	1	2 ≤	QUANTITY
ejpam-8	101	2	4δ− 3	CARDINAL
ejpam-8	102	1	2	CARDINAL
ejpam-8	103	1	x‖ 2)≤	ORG
ejpam-8	103	2	4ρ2	CARDINAL
ejpam-8	103	3	0δ	CARDINAL
ejpam-8	103	4	3	CARDINAL
ejpam-8	104	1	0	CARDINAL
ejpam-8	105	1	2 ≤ 2(4δ− 3	QUANTITY
ejpam-8	106	1	2	CARDINAL
ejpam-8	106	2	c1µ(n	ORG
ejpam-8	107	1	2(4δ− 3	CARDINAL
ejpam-8	108	1	2 ρ2 0c1µ(n +	DATE
ejpam-8	108	2	2.9	CARDINAL
ejpam-8	109	1	2.10	CARDINAL
ejpam-8	110	1	t∗12(b	TIME
ejpam-8	110	2	2.6	CARDINAL
ejpam-8	110	3	2.8	CARDINAL
ejpam-8	110	4	2.10	CARDINAL
ejpam-8	111	1	2.1	CARDINAL
ejpam-8	112	1	2.2	CARDINAL
ejpam-8	113	1	2.1	CARDINAL
ejpam-8	113	2	0	CARDINAL
ejpam-8	114	1	0	CARDINAL
ejpam-8	114	2	k→∞	GPE
ejpam-8	114	3	t∗2(b	NORP
ejpam-8	115	1	2.11	CARDINAL
ejpam-8	116	1	j. pure	PERSON
ejpam-8	116	2	1 (2008	DATE
ejpam-8	116	3	3-10	CARDINAL
ejpam-8	116	4	8	CARDINAL
ejpam-8	116	5	2.11	CARDINAL
ejpam-8	117	1	firstly	ORDINAL
ejpam-8	118	1	2.2	CARDINAL
ejpam-8	118	2	2.3	CARDINAL
ejpam-8	120	1	−µw0	GPE
ejpam-8	121	1	0	CARDINAL
ejpam-8	122	1	2.12	CARDINAL
ejpam-8	122	2	2.12	CARDINAL
ejpam-8	122	3	2	CARDINAL
ejpam-8	123	1	2 ≤	QUANTITY
ejpam-8	123	2	3 2 ‖w0‖ ≤ 2ρ2 0δ	QUANTITY
ejpam-8	123	3	3 4	DATE
ejpam-8	123	4	2	CARDINAL
ejpam-8	124	1	4ρ4	CARDINAL
ejpam-8	124	2	3	CARDINAL
ejpam-8	125	1	2.13	CARDINAL
ejpam-8	125	2	0	CARDINAL
ejpam-8	125	3	2 ≤	QUANTITY
ejpam-8	125	4	3	CARDINAL
ejpam-8	127	1	2.14	CARDINAL
ejpam-8	129	1	2.2	CARDINAL
ejpam-8	129	2	2.4	CARDINAL
ejpam-8	131	1	− uux	PERSON
ejpam-8	131	2	0	CARDINAL
ejpam-8	131	3	2.15	CARDINAL
ejpam-8	131	4	1,2	CARDINAL
ejpam-8	134	1	2.15	CARDINAL
ejpam-8	135	1	1 2 d d t	QUANTITY
ejpam-8	135	2	2	CARDINAL
ejpam-8	136	1	x‖	DATE
ejpam-8	136	2	2 ≤	QUANTITY
ejpam-8	136	3	2δ−	CARDINAL
ejpam-8	136	4	‖‖w	NORP
ejpam-8	136	5	1 2ρ0‖wk−1‖l∞‖wk‖	CARDINAL
ejpam-8	136	6	1 2	TIME
ejpam-8	136	7	1 2	TIME
ejpam-8	136	8	k x‖ ≤ 1 2µ(n	PERSON
ejpam-8	136	9	+ 1)2	PERSON
ejpam-8	136	10	1 2 �2	QUANTITY
ejpam-8	136	11	2+ µ 2	QUANTITY
ejpam-8	136	12	2	CARDINAL
ejpam-8	137	1	2	CARDINAL
ejpam-8	137	2	1 2 �2	QUANTITY
ejpam-8	137	3	2	CARDINAL
ejpam-8	137	4	2.16	CARDINAL
ejpam-8	137	5	9	CARDINAL
ejpam-8	137	6	1	CARDINAL
ejpam-8	137	7	2	DATE
ejpam-8	138	1	1	CARDINAL
ejpam-8	138	2	2.16	CARDINAL
ejpam-8	138	3	2	CARDINAL
ejpam-8	138	4	1 2	TIME
ejpam-8	138	5	2	CARDINAL
ejpam-8	138	6	2.17	CARDINAL
ejpam-8	138	7	0	CARDINAL
ejpam-8	139	1	2	CARDINAL
ejpam-8	139	2	c1µ(n	ORG
ejpam-8	139	3	1 2	TIME
ejpam-8	140	1	2.18	CARDINAL
ejpam-8	140	2	0	CARDINAL
ejpam-8	140	3	2 ≤ 2k	QUANTITY
ejpam-8	140	4	1µ	CARDINAL
ejpam-8	140	5	1 2 �2k	TIME
ejpam-8	140	6	t∗2k(b	GPE
ejpam-8	140	7	2.19	CARDINAL
ejpam-8	140	8	1	CARDINAL
ejpam-8	140	9	2	DATE
ejpam-8	141	1	2	CARDINAL
ejpam-8	141	2	1 2	CARDINAL
ejpam-8	141	3	2	CARDINAL
ejpam-8	141	4	c1µ(n	ORG
ejpam-8	141	5	1	CARDINAL
ejpam-8	141	6	2.20	CARDINAL
ejpam-8	141	7	2.11	CARDINAL
ejpam-8	141	8	2.14	CARDINAL
ejpam-8	141	9	2.19	CARDINAL
ejpam-8	142	1	2.2	CARDINAL
ejpam-8	143	1	1	CARDINAL
ejpam-8	143	2	j. albert	PERSON
ejpam-8	143	3	j. diff	PERSON
ejpam-8	144	1	63(1):117	CARDINAL
ejpam-8	145	1	2	CARDINAL
ejpam-8	145	2	j. avrin	PERSON
ejpam-8	145	3	nonlin	GPE
ejpam-8	145	4	139	CARDINAL
ejpam-8	145	5	1987	DATE
ejpam-8	146	1	3	CARDINAL
ejpam-8	146	2	t. b. benjamin	PERSON
ejpam-8	146	3	j. l.	PERSON
ejpam-8	146	4	j. j. mahony	PERSON
ejpam-8	148	1	roy	PERSON
ejpam-8	149	1	londan	PERSON
ejpam-8	149	2	47	CARDINAL
ejpam-8	149	3	1972	DATE
ejpam-8	150	1	4	CARDINAL
ejpam-8	150	2	two	CARDINAL
ejpam-8	151	1	integ	PERSON
ejpam-8	152	1	5(4	CARDINAL
ejpam-8	152	2	891	CARDINAL
ejpam-8	153	1	5	CARDINAL
ejpam-8	153	2	a. o. celebi	PERSON
ejpam-8	154	1	m. polat	PERSON
ejpam-8	154	2	j. diff	PERSON
ejpam-8	155	1	equ.	PERSON
ejpam-8	155	2	157(2	DATE
ejpam-8	155	3	439	CARDINAL
ejpam-8	155	4	1999	DATE
ejpam-8	156	1	6	CARDINAL
ejpam-8	156	2	s. n. chow	PERSON
ejpam-8	156	3	k. lu	PERSON
ejpam-8	156	4	manifolds	ORG
ejpam-8	156	5	j. diff	PERSON
ejpam-8	157	1	eqns	PERSON
ejpam-8	158	1	74(1	CARDINAL
ejpam-8	158	2	285317, 1988	DATE
ejpam-8	159	1	7	CARDINAL
ejpam-8	159	2	o. manley	PERSON
ejpam-8	159	3	r.	NORP
ejpam-8	159	4	sur l’interaction des petits et grands tourbillons dans les ecoulements	ORG
ejpam-8	159	5	c. r. acad	PERSON
ejpam-8	160	1	sci	ORG
ejpam-8	160	2	paris	GPE
ejpam-8	160	3	305	CARDINAL
ejpam-8	160	4	497-500	CARDINAL
ejpam-8	160	5	1987	DATE
ejpam-8	161	1	8	CARDINAL
ejpam-8	161	2	r.	NORP
ejpam-8	161	3	manifolds	ORG
ejpam-8	161	4	j. diff	PERSON
ejpam-8	161	5	eqns	PERSON
ejpam-8	161	6	309-353	CARDINAL
ejpam-8	161	7	1988	DATE
ejpam-8	162	1	9	CARDINAL
ejpam-8	162	2	m. stanislavova	PERSON
ejpam-8	162	3	fifth	ORDINAL
ejpam-8	162	4	june 16-19, 2004	DATE
ejpam-8	162	5	pomona	ORG
ejpam-8	162	6	10	CARDINAL
ejpam-8	162	7	10	CARDINAL
ejpam-8	162	8	m. stanislavova	PERSON
ejpam-8	162	9	a. stefanov	PERSON
ejpam-8	162	10	b. wang	PERSON
ejpam-8	162	11	r3	ORG
ejpam-8	162	12	j. diff	PERSON
ejpam-8	163	1	219(2	CARDINAL
ejpam-8	163	2	451	CARDINAL
ejpam-8	164	1	11	CARDINAL
ejpam-8	164	2	b. wang	PERSON
ejpam-8	164	3	benjamin	PERSON
ejpam-8	165	1	lett.	PERSON
ejpam-8	166	1	10(1	DATE
ejpam-8	166	2	23-28, 1997	DATE
ejpam-8	167	1	12	CARDINAL
ejpam-8	167	2	z. r. liu	PERSON
ejpam-8	169	1	sinica(in chinese	PERSON
ejpam-8	169	2	23(2	CARDINAL
ejpam-8	169	3	329	CARDINAL
ejpam-8	169	4	2000	DATE
ejpam-8	170	1	13	CARDINAL
ejpam-8	170	2	b. wang	PERSON
ejpam-8	170	3	w. yang	PERSON
ejpam-8	170	4	benjamin	PERSON
ejpam-8	170	5	j. phys	ORG
ejpam-8	172	1	gen.	PERSON
ejpam-8	172	2	30(12):4877-4885, 1997	DATE
ejpam-8	173	1	14	CARDINAL
ejpam-8	173	2	c. s. zhu	PERSON
ejpam-8	173	3	86(1):59-65, 2007	DATE
ejpam-8	174	1	15	CARDINAL
ejpam-8	174	2	c. s. zhu	PERSON
ejpam-8	174	3	c. l. mu	PERSON
ejpam-8	175	1	87(4):401-07, 2008	DATE