id	sid	eid	entity	type
ejpam-749	1	1	6_749_xie.dvi	CARDINAL
ejpam-749	1	2	european	NORP
ejpam-749	2	1	3	CARDINAL
ejpam-749	2	2	4, 2010	DATE
ejpam-749	2	3	678-685	CARDINAL
ejpam-749	2	4	1307-5543	DATE
ejpam-749	2	5	two	CARDINAL
ejpam-749	2	6	tao xie∗	PERSON
ejpam-749	2	7	kezheng zuo	PERSON
ejpam-749	2	8	hubei normal university	ORG
ejpam-749	2	9	hubei	GPE
ejpam-749	2	10	huangshi	GPE
ejpam-749	2	11	435002	DATE
ejpam-749	2	12	china	GPE
ejpam-749	3	1	two	CARDINAL
ejpam-749	3	2	ap + bq− cpq	ORG
ejpam-749	3	3	0	CARDINAL
ejpam-749	4	1	2000	DATE
ejpam-749	4	2	15a03	CARDINAL
ejpam-749	4	3	15a24	CARDINAL
ejpam-749	4	4	1	CARDINAL
ejpam-749	6	1	17	CARDINAL
ejpam-749	6	2	zero	CARDINAL
ejpam-749	6	3	three	CARDINAL
ejpam-749	6	4	16	CARDINAL
ejpam-749	6	5	five	CARDINAL
ejpam-749	8	1	two	CARDINAL
ejpam-749	9	1	1]-[15	CARDINAL
ejpam-749	10	1	linear combinations of p	ORG
ejpam-749	10	2	6=	CARDINAL
ejpam-749	10	3	0	CARDINAL
ejpam-749	14	1	0	CARDINAL
ejpam-749	15	1	0	CARDINAL
ejpam-749	15	2	4	CARDINAL
ejpam-749	20	1	t. xie	PERSON
ejpam-749	20	2	xiangzuo28	PERSON
ejpam-749	20	3	yahoo	ORG
ejpam-749	21	1	k. zuo	PERSON
ejpam-749	22	1	678	CARDINAL
ejpam-749	22	2	2010	DATE
ejpam-749	23	1	t. xie	PERSON
ejpam-749	23	2	k. zuo	PERSON
ejpam-749	24	1	j. pure	PERSON
ejpam-749	24	2	3	CARDINAL
ejpam-749	24	3	2010	DATE
ejpam-749	24	4	678-685	CARDINAL
ejpam-749	26	1	b(h	GPE
ejpam-749	26	2	s ∈ b(h	ORG
ejpam-749	29	1	r(p)⊕r(p)⊥	NORP
ejpam-749	37	1	1 2	CARDINAL
ejpam-749	38	1	fredholm	GPE
ejpam-749	38	2	indt	ORG
ejpam-749	43	1	see[3	ORG
ejpam-749	44	1	two	CARDINAL
ejpam-749	45	1	1	CARDINAL
ejpam-749	45	2	3	CARDINAL
ejpam-749	48	1	0	CARDINAL
ejpam-749	48	2	  a11	PRODUCT
ejpam-749	48	3	1 2	CARDINAL
ejpam-749	48	4	1 2 22	QUANTITY
ejpam-749	48	5	1 2	QUANTITY
ejpam-749	48	6	1	CARDINAL
ejpam-749	50	1	2	CARDINAL
ejpam-749	50	2	3	CARDINAL
ejpam-749	51	1	a′	ORG
ejpam-749	56	1	t. xie	PERSON
ejpam-749	56	2	k. zuo	PERSON
ejpam-749	57	1	j. pure	PERSON
ejpam-749	57	2	3	CARDINAL
ejpam-749	57	3	2010	DATE
ejpam-749	57	4	678-685	CARDINAL
ejpam-749	57	5	3	CARDINAL
ejpam-749	57	6	1	CARDINAL
ejpam-749	58	1	two	CARDINAL
ejpam-749	59	1	6=	DATE
ejpam-749	59	2	ind(ap + bq− cpq	ORG
ejpam-749	63	1	two	CARDINAL
ejpam-749	64	1	ap + bq− cpq	ORG
ejpam-749	64	2	as−1ps + bs−1qs	PRODUCT
ejpam-749	64	3	ap + bq− cpq	ORG
ejpam-749	64	4	one	CARDINAL
ejpam-749	67	1	lemma 1	ORG
ejpam-749	67	2	1 2 2	QUANTITY
ejpam-749	67	3	1 2 1 q2 	QUANTITY
ejpam-749	69	1	r(p)⊕r(p)⊥	NORP
ejpam-749	71	1	0	CARDINAL
ejpam-749	72	1	0	CARDINAL
ejpam-749	75	1	r(p)⊥⊖n	PERSON
ejpam-749	76	1	denoteh0	PERSON
ejpam-749	77	1	−q2	ORG
ejpam-749	77	2	h4 = n	ORG
ejpam-749	78	1	0	CARDINAL
ejpam-749	78	2	0 q11	QUANTITY
ejpam-749	78	3	1 2	CARDINAL
ejpam-749	78	4	0	CARDINAL
ejpam-749	78	5	1 2	CARDINAL
ejpam-749	78	6	1 2 11	QUANTITY
ejpam-749	79	1	0	CARDINAL
ejpam-749	82	1	0	CARDINAL
ejpam-749	84	1	t. xie	PERSON
ejpam-749	84	2	k. zuo	PERSON
ejpam-749	85	1	j. pure	PERSON
ejpam-749	85	2	3	CARDINAL
ejpam-749	85	3	2010	DATE
ejpam-749	85	4	678-685 681	QUANTITY
ejpam-749	86	1	⊕5 i=0	ORG
ejpam-749	87	1	1 2	CARDINAL
ejpam-749	87	2	1 2 11	QUANTITY
ejpam-749	88	1	h2⊕h3	GPE
ejpam-749	89	1	0	CARDINAL
ejpam-749	90	1	11	CARDINAL
ejpam-749	91	1	1 2	CARDINAL
ejpam-749	91	2	3	CARDINAL
ejpam-749	91	3	1 2	CARDINAL
ejpam-749	91	4	1 2 11	QUANTITY
ejpam-749	91	5	3 2	CARDINAL
ejpam-749	91	6	1 2	CARDINAL
ejpam-749	91	7	3 2 11	DATE
ejpam-749	91	8	22	CARDINAL
ejpam-749	92	1	1 2 22	CARDINAL
ejpam-749	93	1		NORP
ejpam-749	96	1	1	CARDINAL
ejpam-749	96	2	ap + bq− cpq	ORG
ejpam-749	96	3	2	CARDINAL
ejpam-749	96	4	0	CARDINAL
ejpam-749	97	1	0	CARDINAL
ejpam-749	97	2	0	CARDINAL
ejpam-749	99	1	3	CARDINAL
ejpam-749	99	2	1 2 22	DATE
ejpam-749	99	3	1 2 11	DATE
ejpam-749	99	4	ap11 − cp11q22	PRODUCT
ejpam-749	99	5	ap12 − cp12	ORG
ejpam-749	99	6	ap13	PRODUCT
ejpam-749	99	7	a+ b− c)i	PERSON
ejpam-749	100	1	1 2	CARDINAL
ejpam-749	100	2	1 2 11	DATE
ejpam-749	101	1	cp22	PRODUCT
ejpam-749	101	2	ap23	PRODUCT
ejpam-749	101	3	ap32 −	PERSON
ejpam-749	102	1	ap33	PRODUCT
ejpam-749	103	1	t. xie	PERSON
ejpam-749	103	2	k. zuo	PERSON
ejpam-749	104	1	j. pure	PERSON
ejpam-749	104	2	3	CARDINAL
ejpam-749	104	3	2010	DATE
ejpam-749	104	4	678	CARDINAL
ejpam-749	105	1	1 2	CARDINAL
ejpam-749	105	2	1 2 11	QUANTITY
ejpam-749	108	1	1 2 11(i	CARDINAL
ejpam-749	108	2	1 2	CARDINAL
ejpam-749	108	3	1 2	CARDINAL
ejpam-749	108	4	1 2	CARDINAL
ejpam-749	108	5	1 2 11(i	CARDINAL
ejpam-749	108	6	1 2	CARDINAL
ejpam-749	108	7	1 2 11(i	CARDINAL
ejpam-749	108	8	1 2	CARDINAL
ejpam-749	108	9	−q11	ORG
ejpam-749	108	10	1 2	CARDINAL
ejpam-749	108	11	1 2	CARDINAL
ejpam-749	108	12	1 2 11	QUANTITY
ejpam-749	108	13	1 2 11(i	CARDINAL
ejpam-749	108	14	1 2	CARDINAL
ejpam-749	108	15	bq22	PERSON
ejpam-749	109	1	ap+ bq− cpq	ORG
ejpam-749	110	1	1 2	CARDINAL
ejpam-749	110	2	1 2 11	DATE
ejpam-749	111	1	ap + bq− cpq	ORG
ejpam-749	114	1	1 2 22	CARDINAL
ejpam-749	115	1	1q	CARDINAL
ejpam-749	118	1	1 2 22	DATE
ejpam-749	119	1	1	CARDINAL
ejpam-749	120	1	ap + bq− cpq	ORG
ejpam-749	120	2	3	CARDINAL
ejpam-749	121	1	ap31	PRODUCT
ejpam-749	121	2	1 2	CARDINAL
ejpam-749	121	3	1 2	CARDINAL
ejpam-749	121	4	1 2 11	QUANTITY
ejpam-749	121	5	lemma 2.	ORG
ejpam-749	123	1	ap31	PRODUCT
ejpam-749	123	2	1 2	CARDINAL
ejpam-749	123	3	11d1d∗1(i	CARDINAL
ejpam-749	123	4	1 2 d1)d ∗	QUANTITY
ejpam-749	123	5	1(i	CARDINAL
ejpam-749	123	6	1 2 11	DATE
ejpam-749	123	7	t. xie	PERSON
ejpam-749	123	8	k. zuo	PERSON
ejpam-749	124	1	j. pure	PERSON
ejpam-749	124	2	3	CARDINAL
ejpam-749	124	3	2010	DATE
ejpam-749	124	4	678-685 683	QUANTITY
ejpam-749	124	5	a(i −	GPE
ejpam-749	125	1	1 2	CARDINAL
ejpam-749	125	2	1	CARDINAL
ejpam-749	126	1	one	CARDINAL
ejpam-749	129	1	1 2	CARDINAL
ejpam-749	129	2	ap+ bq− cpq	ORG
ejpam-749	130	1	− cpq	PERSON
ejpam-749	131	1	ind(ap + bq− cpq	ORG
ejpam-749	131	2	ind(i	ORG
ejpam-749	134	1	1 2	CARDINAL
ejpam-749	139	1	1	CARDINAL
ejpam-749	140	1	two	CARDINAL
ejpam-749	141	1	∈	ORG
ejpam-749	141	2	0	CARDINAL
ejpam-749	142	1	∈	ORG
ejpam-749	142	2	0	CARDINAL
ejpam-749	144	1	0	CARDINAL
ejpam-749	145	1	zero	CARDINAL
ejpam-749	146	1	0	CARDINAL
ejpam-749	147	1	0	CARDINAL
ejpam-749	147	2	the (ii	EVENT
ejpam-749	148	1	1	CARDINAL
ejpam-749	149	1	4	CARDINAL
ejpam-749	150	1	ap + bq− cpq	ORG
ejpam-749	151	1	6=	DATE
ejpam-749	155	1	1	CARDINAL
ejpam-749	155	2	2 1 −2 1 �	QUANTITY
ejpam-749	155	3	ap + bq−	ORG
ejpam-749	155	4	0	CARDINAL
ejpam-749	155	5	12	CARDINAL
ejpam-749	155	6	10	CARDINAL
ejpam-749	156	1	1	CARDINAL
ejpam-749	156	2	1	CARDINAL
ejpam-749	156	3	−1	DATE
ejpam-749	156	4	−1	DATE
ejpam-749	159	1	− cpq	PERSON
ejpam-749	162	1	684	CARDINAL
ejpam-749	162	2	1	CARDINAL
ejpam-749	163	1	nonsingularity	PERSON
ejpam-749	163	2	linear combinations	ORG
ejpam-749	164	1	388	CARDINAL
ejpam-749	164	2	25-29, 2004	DATE
ejpam-749	165	1	2	CARDINAL
ejpam-749	166	1	three	CARDINAL
ejpam-749	166	2	two	CARDINAL
ejpam-749	167	1	388	CARDINAL
ejpam-749	167	2	67	CARDINAL
ejpam-749	168	1	3	CARDINAL
ejpam-749	168	2	j.b. conway	GPE
ejpam-749	169	1	new york	GPE
ejpam-749	169	2	1990	DATE
ejpam-749	170	1	4	CARDINAL
ejpam-749	170	2	h. du	PERSON
ejpam-749	170	3	c. deng	PERSON
ejpam-749	171	1	two	CARDINAL
ejpam-749	172	1	american mathematical society	ORG
ejpam-749	172	2	134	CARDINAL
ejpam-749	172	3	1451-1457	CARDINAL
ejpam-749	172	4	2006	DATE
ejpam-749	173	1	5	CARDINAL
ejpam-749	173	2	p.a.	GPE
ejpam-749	173	3	fillmore	PERSON
ejpam-749	175	1	4	CARDINAL
ejpam-749	175	2	146-152	CARDINAL
ejpam-749	175	3	1969	DATE
ejpam-749	176	1	6	CARDINAL
ejpam-749	176	2	j. gro	PERSON
ejpam-749	176	3	g. trenkler	PERSON
ejpam-749	177	1	nonsingularity	PERSON
ejpam-749	177	2	two	CARDINAL
ejpam-749	179	1	21	CARDINAL
ejpam-749	179	2	390	CARDINAL
ejpam-749	179	3	1999	DATE
ejpam-749	180	1	7	CARDINAL
ejpam-749	180	2	p.y. wu	PERSON
ejpam-749	181	1	two	CARDINAL
ejpam-749	182	1	59	CARDINAL
ejpam-749	182	2	579	CARDINAL
ejpam-749	183	1	8	CARDINAL
ejpam-749	183	2	c.j. wang	PERSON
ejpam-749	183	3	n.c	GPE
ejpam-749	183	4	wong	PERSON
ejpam-749	184	1	2	CARDINAL
ejpam-749	184	2	193	CARDINAL
ejpam-749	185	1	9	CARDINAL
ejpam-749	185	2	r. harte	PERSON
ejpam-749	185	3	marcel dekker	PERSON
ejpam-749	185	4	new york	GPE
ejpam-749	185	5	basel	GPE
ejpam-749	185	6	1988	DATE
ejpam-749	186	1	10	CARDINAL
ejpam-749	187	1	linear	ORG
ejpam-749	187	2	50	CARDINAL
ejpam-749	187	3	285	CARDINAL
ejpam-749	188	1	11	CARDINAL
ejpam-749	189	1	linear	ORG
ejpam-749	189	2	51	CARDINAL
ejpam-749	189	3	97	CARDINAL
ejpam-749	189	4	2003	DATE
ejpam-749	190	1	12	CARDINAL
ejpam-749	190	2	i.straškraba	PERSON
ejpam-749	192	1	linear	ORG
ejpam-749	192	2	388	CARDINAL
ejpam-749	192	3	279	CARDINAL
ejpam-749	192	4	2004	DATE
ejpam-749	193	1	13	CARDINAL
ejpam-749	195	1	52	CARDINAL
ejpam-749	195	2	125	CARDINAL
ejpam-749	196	1	14	CARDINAL
ejpam-749	196	2	linear combinations	ORG
ejpam-749	197	1	418	CARDINAL
ejpam-749	197	2	11	CARDINAL
ejpam-749	198	1	15	CARDINAL
ejpam-749	200	1	58	CARDINAL
ejpam-749	200	2	597	CARDINAL
ejpam-749	201	1	16	CARDINAL
ejpam-749	201	2	c. pearcy	PERSON
ejpam-749	203	1	michigan	GPE
ejpam-749	203	2	14(4	ORG
ejpam-749	203	3	453	CARDINAL
ejpam-749	203	4	1967	DATE
ejpam-749	204	1	685	CARDINAL
ejpam-749	204	2	17	CARDINAL
ejpam-749	205	1	three	CARDINAL
ejpam-749	206	1	390	CARDINAL
ejpam-749	206	2	137	CARDINAL
ejpam-749	207	1	18	CARDINAL
ejpam-749	207	2	wu	PERSON
ejpam-749	209	1	142	CARDINAL
ejpam-749	209	2	43-54	CARDINAL
ejpam-749	210	1	19	CARDINAL
ejpam-749	210	2	wu	PERSON
ejpam-749	212	1	30	CARDINAL
ejpam-749	212	2	337-361	CARDINAL
ejpam-749	212	3	1994	DATE