id	sid	eid	entity	type
ejpam-841	1	1	1_841_wang.dvi	CARDINAL
ejpam-841	1	2	european	NORP
ejpam-841	2	1	3	CARDINAL
ejpam-841	2	2	4, 2010	DATE
ejpam-841	2	3	602	CARDINAL
ejpam-841	2	4	1	CARDINAL
ejpam-841	2	5	1	DATE
ejpam-841	2	6	j. william hoffman1	PERSON
ejpam-841	2	7	haohao wang2,∗	PERSON
ejpam-841	2	8	xiaohong jia3	PERSON
ejpam-841	2	9	1	CARDINAL
ejpam-841	2	10	louisiana state university, baton rouge	ORG
ejpam-841	2	11	la	GPE
ejpam-841	2	12	usa 2	ORG
ejpam-841	2	13	southeast missouri	ORG
ejpam-841	2	14	cape girardeau	GPE
ejpam-841	2	15	mo	GPE
ejpam-841	2	16	the university of hong kong	ORG
ejpam-841	2	17	hong kong	GPE
ejpam-841	3	1	china 4	ORG
ejpam-841	3	2	6100	CARDINAL
ejpam-841	3	3	st.	GPE
ejpam-841	3	4	ms-132	NORP
ejpam-841	3	5	houston	GPE
ejpam-841	3	6	77251	DATE
ejpam-841	4	1	1,1	CARDINAL
ejpam-841	4	2	3	CARDINAL
ejpam-841	6	1	2000	CARDINAL
ejpam-841	6	2	14q05	CARDINAL
ejpam-841	6	3	13d02	ORG
ejpam-841	6	4	14h20(secondary	CARDINAL
ejpam-841	6	5	syzygy	ORG
ejpam-841	6	6	1	CARDINAL
ejpam-841	8	1	⊂	GPE
ejpam-841	8	2	1	CARDINAL
ejpam-841	9	1	⊕	GPE
ejpam-841	9	2	⊕	GPE
ejpam-841	9	3	decades	DATE
ejpam-841	9	4	25	CARDINAL
ejpam-841	10	1	one	CARDINAL
ejpam-841	13	1	j. hoffman	PERSON
ejpam-841	13	2	h. wang	PERSON
ejpam-841	13	3	x. jia	PERSON
ejpam-841	14	1	r. goldman	PERSON
ejpam-841	15	1	602	CARDINAL
ejpam-841	15	2	2010	DATE
ejpam-841	16	1	j. hoffman	PERSON
ejpam-841	16	2	h. wang	PERSON
ejpam-841	16	3	x. jia	PERSON
ejpam-841	16	4	r. goldman	PERSON
ejpam-841	17	1	j. pure	PERSON
ejpam-841	17	2	3	CARDINAL
ejpam-841	17	3	2010	DATE
ejpam-841	17	4	602	CARDINAL
ejpam-841	18	1	two	CARDINAL
ejpam-841	21	1	only one	CARDINAL
ejpam-841	21	2	0	CARDINAL
ejpam-841	24	1	〈 f0	PERSON
ejpam-841	24	2	f1	PERSON
ejpam-841	24	3	f2	ORG
ejpam-841	24	4	⊂	GPE
ejpam-841	25	1	0,1,2,3	CARDINAL
ejpam-841	26	1	ker(h	PERSON
ejpam-841	26	2	0	CARDINAL
ejpam-841	26	3	ker(h	PERSON
ejpam-841	26	4	sederberg	GPE
ejpam-841	26	5	10	CARDINAL
ejpam-841	26	6	20	CARDINAL
ejpam-841	26	7	21	CARDINAL
ejpam-841	26	8	22	CARDINAL
ejpam-841	27	1	the past two years	DATE
ejpam-841	27	2	4	CARDINAL
ejpam-841	27	3	8	CARDINAL
ejpam-841	27	4	16	CARDINAL
ejpam-841	27	5	plane algebraic	PERSON
ejpam-841	29	1	8	CARDINAL
ejpam-841	29	2	busé	GPE
ejpam-841	29	3	chardin	GPE
ejpam-841	29	4	cox	PERSON
ejpam-841	29	5	2	CARDINAL
ejpam-841	29	6	3	CARDINAL
ejpam-841	31	1	1	CARDINAL
ejpam-841	31	2	4	CARDINAL
ejpam-841	31	3	5	CARDINAL
ejpam-841	31	4	15	CARDINAL
ejpam-841	32	1	two	CARDINAL
ejpam-841	33	1	〈 f0	PERSON
ejpam-841	33	2	f1	PERSON
ejpam-841	34	1	⊂	GPE
ejpam-841	34	2	two	CARDINAL
ejpam-841	34	3	f1	PERSON
ejpam-841	40	1	first	ORDINAL
ejpam-841	40	2	3	CARDINAL
ejpam-841	41	1	x0	ORG
ejpam-841	42	1	ring k[x0	FAC
ejpam-841	46	1	6	CARDINAL
ejpam-841	46	2	11	DATE
ejpam-841	46	3	12	DATE
ejpam-841	46	4	19	DATE
ejpam-841	46	5	23	CARDINAL
ejpam-841	47	1	kustin	PERSON
ejpam-841	48	1	18	CARDINAL
ejpam-841	48	2	two	CARDINAL
ejpam-841	49	1	hoffman	PERSON
ejpam-841	49	2	h. wang	PERSON
ejpam-841	49	3	x. jia	PERSON
ejpam-841	49	4	r. goldman	PERSON
ejpam-841	50	1	j. pure	PERSON
ejpam-841	50	2	3	CARDINAL
ejpam-841	50	3	2010	DATE
ejpam-841	50	4	602-632 604	CARDINAL
ejpam-841	50	5	0→	CARDINAL
ejpam-841	50	6	1)n−1 ⊕ r(−2d + n+ 1	DATE
ejpam-841	51	1	ring k[x0	FAC
ejpam-841	55	1	kustin	GPE
ejpam-841	55	2	18	CARDINAL
ejpam-841	55	3	1,1	CARDINAL
ejpam-841	55	4	3	CARDINAL
ejpam-841	56	1	rees algebras	ORG
ejpam-841	59	1	three	CARDINAL
ejpam-841	60	1	18	CARDINAL
ejpam-841	61	1	18	CARDINAL
ejpam-841	61	2	1,1	CARDINAL
ejpam-841	62	1	second	ORDINAL
ejpam-841	65	1	section 2	LAW
ejpam-841	66	1	section 3	LAW
ejpam-841	66	2	three	CARDINAL
ejpam-841	67	1	section 4	LAW
ejpam-841	68	1	2	CARDINAL
ejpam-841	68	2	three	CARDINAL
ejpam-841	68	3	f(s	GPE
ejpam-841	68	4	f0(s	GPE
ejpam-841	68	5	6=	CARDINAL
ejpam-841	68	6	1	CARDINAL
ejpam-841	68	7	f1	PERSON
ejpam-841	68	8	f2	ORG
ejpam-841	68	9	3	CARDINAL
ejpam-841	68	10	f1	PERSON
ejpam-841	68	11	f2	ORG
ejpam-841	69	1	1	CARDINAL
ejpam-841	71	1	1	CARDINAL
ejpam-841	72	1	∈	ORG
ejpam-841	72	2	r. j. hoffman	PERSON
ejpam-841	72	3	h. wang	PERSON
ejpam-841	72	4	x. jia	PERSON
ejpam-841	72	5	r. goldman	PERSON
ejpam-841	73	1	j. pure	PERSON
ejpam-841	73	2	3	CARDINAL
ejpam-841	73	3	2010	DATE
ejpam-841	73	4	602	CARDINAL
ejpam-841	73	5	1	CARDINAL
ejpam-841	74	1	0	CARDINAL
ejpam-841	75	1	1	CARDINAL
ejpam-841	75	2	jℓk)i+	GPE
ejpam-841	75	3	f1	PERSON
ejpam-841	75	4	f2	ORG
ejpam-841	75	5	⊂	GPE
ejpam-841	75	6	1	CARDINAL
ejpam-841	76	1	1	CARDINAL
ejpam-841	78	1	w.	PERSON
ejpam-841	78	2	2	CARDINAL
ejpam-841	79	1	1	CARDINAL
ejpam-841	80	1	←→ ab	ORG
ejpam-841	81	1	ab	ORG
ejpam-841	82	1	2	CARDINAL
ejpam-841	83	1	f1	PERSON
ejpam-841	83	2	f2	ORG
ejpam-841	84	1	5	CARDINAL
ejpam-841	84	2	t3	ORG
ejpam-841	84	3	t5	ORG
ejpam-841	85	1	t3	ORG
ejpam-841	85	2	3	CARDINAL
ejpam-841	86	1	2	CARDINAL
ejpam-841	86	2	two	CARDINAL
ejpam-841	88	1	1	CARDINAL
ejpam-841	88	2	1	CARDINAL
ejpam-841	89	1	at least one	CARDINAL
ejpam-841	90	1	f(s	GPE
ejpam-841	90	2	f1	PERSON
ejpam-841	90	3	f2	ORG
ejpam-841	90	4	f1	PERSON
ejpam-841	90	5	f2	ORG
ejpam-841	91	1	hilbert-burch	ORG
ejpam-841	91	2	9	CARDINAL
ejpam-841	91	3	chapter 6	LAW
ejpam-841	91	4	0→ r(−d −µ1)⊕ r(−d −µ2)⊕	PERCENT
ejpam-841	91	5	−µ3	ORG
ejpam-841	92	1	f1	PERSON
ejpam-841	92	2	f2	ORG
ejpam-841	92	3	0	DATE
ejpam-841	92	4	µ1 ≤ µ2 ≤ µ3	MONEY
ejpam-841	95	1	f1	PERSON
ejpam-841	95	2	f2	ORG
ejpam-841	95	3	r.	NORP
ejpam-841	96	1	j. hoffman	PERSON
ejpam-841	96	2	h. wang	PERSON
ejpam-841	96	3	x. jia	PERSON
ejpam-841	96	4	r. goldman	PERSON
ejpam-841	97	1	j. pure	PERSON
ejpam-841	97	2	3	CARDINAL
ejpam-841	97	3	2010	DATE
ejpam-841	97	4	602	CARDINAL
ejpam-841	97	5	w	GPE
ejpam-841	100	1	three	CARDINAL
ejpam-841	101	1	f1	PERSON
ejpam-841	101	2	f2	ORG
ejpam-841	101	3	24	CARDINAL
ejpam-841	104	1	1,1	CARDINAL
ejpam-841	105	1	two	CARDINAL
ejpam-841	106	1	1	CARDINAL
ejpam-841	107	1	26	CARDINAL
ejpam-841	107	2	f(s	GPE
ejpam-841	107	3	r.	NORP
ejpam-841	107	4	f(s	GPE
ejpam-841	108	1	deg(gcd(p	ORG
ejpam-841	108	2	q))≥ 1	PRODUCT
ejpam-841	109	1	f(s	GPE
ejpam-841	110	1	2	CARDINAL
ejpam-841	111	1	26	CARDINAL
ejpam-841	111	2	q(s	GPE
ejpam-841	111	3	r(s	ORG
ejpam-841	111	4	1,1	CARDINAL
ejpam-841	111	5	f(s	GPE
ejpam-841	112	1	1	CARDINAL
ejpam-841	112	2	f(s	GPE
ejpam-841	113	1	2	CARDINAL
ejpam-841	113	2	f(s	GPE
ejpam-841	113	3	one	CARDINAL
ejpam-841	114	1	a. moreover	PERSON
ejpam-841	114	2	two	CARDINAL
ejpam-841	114	3	1,1	CARDINAL
ejpam-841	115	1	1	CARDINAL
ejpam-841	116	1	two	CARDINAL
ejpam-841	116	2	1	CARDINAL
ejpam-841	117	1	irreducible	GPE
ejpam-841	117	2	t(p	ORG
ejpam-841	119	1	1,1	CARDINAL
ejpam-841	120	1	t(p	ORG
ejpam-841	120	2	6≡ 0	DATE
ejpam-841	121	1	1	CARDINAL
ejpam-841	121	2	t(p	ORG
ejpam-841	121	3	2	CARDINAL
ejpam-841	122	1	t(p	ORG
ejpam-841	122	2	two	CARDINAL
ejpam-841	123	1	one	CARDINAL
ejpam-841	124	1	j. hoffman	PERSON
ejpam-841	124	2	h. wang	PERSON
ejpam-841	124	3	x. jia	PERSON
ejpam-841	124	4	r. goldman	PERSON
ejpam-841	125	1	j. pure	PERSON
ejpam-841	125	2	3	CARDINAL
ejpam-841	125	3	2010	DATE
ejpam-841	125	4	602	CARDINAL
ejpam-841	125	5	1,1	CARDINAL
ejpam-841	126	1	three	CARDINAL
ejpam-841	127	1	f(s	GPE
ejpam-841	128	1	f(s	GPE
ejpam-841	129	1	3.1	CARDINAL
ejpam-841	129	2	1	CARDINAL
ejpam-841	129	3	1	DATE
ejpam-841	130	1	1,1	CARDINAL
ejpam-841	131	1	3	CARDINAL
ejpam-841	133	1	two	CARDINAL
ejpam-841	133	2	f(s	GPE
ejpam-841	133	3	1,1	CARDINAL
ejpam-841	133	4	w.	PERSON
ejpam-841	133	5	3	CARDINAL
ejpam-841	135	1	2	CARDINAL
ejpam-841	135	2	q.	PERSON
ejpam-841	135	3	one	CARDINAL
ejpam-841	136	1	3	CARDINAL
ejpam-841	137	1	2	CARDINAL
ejpam-841	138	1	f(s	GPE
ejpam-841	138	2	1,1	CARDINAL
ejpam-841	139	1	w	ORG
ejpam-841	142	1	w.	PERSON
ejpam-841	144	1	1	CARDINAL
ejpam-841	144	2	0	CARDINAL
ejpam-841	145	1	0	CARDINAL
ejpam-841	147	1	1	CARDINAL
ejpam-841	148	1	ap1	PRODUCT
ejpam-841	149	1	q−	PERSON
ejpam-841	150	1	q0t)− a(p1s+	ORG
ejpam-841	152	1	q−	DATE
ejpam-841	152	2	f(s	GPE
ejpam-841	152	3	f(s	GPE
ejpam-841	153	1	1	CARDINAL
ejpam-841	154	1	1	CARDINAL
ejpam-841	154	2	1	CARDINAL
ejpam-841	157	1	1	CARDINAL
ejpam-841	157	2	6=	CARDINAL
ejpam-841	158	1	two	CARDINAL
ejpam-841	159	1	1	CARDINAL
ejpam-841	159	2	0	CARDINAL
ejpam-841	160	1	′s+	CARDINAL
ejpam-841	160	2	f(s	GPE
ejpam-841	161	1	1	CARDINAL
ejpam-841	162	1	f(s	GPE
ejpam-841	163	1	f(s	GPE
ejpam-841	163	2	1	CARDINAL
ejpam-841	163	3	one	CARDINAL
ejpam-841	164	1	3	CARDINAL
ejpam-841	164	2	3	CARDINAL
ejpam-841	165	1	y t. j. hoffman	PERSON
ejpam-841	165	2	h. wang	PERSON
ejpam-841	165	3	x. jia	PERSON
ejpam-841	165	4	r. goldman	PERSON
ejpam-841	166	1	j. pure	PERSON
ejpam-841	166	2	3	CARDINAL
ejpam-841	166	3	2010	DATE
ejpam-841	166	4	602	CARDINAL
ejpam-841	166	5	2	CARDINAL
ejpam-841	166	6	6=	CARDINAL
ejpam-841	168	1	z′	PERSON
ejpam-841	169	1	f(s	GPE
ejpam-841	169	2	3	CARDINAL
ejpam-841	169	3	z′	PERSON
ejpam-841	169	4	3	CARDINAL
ejpam-841	170	1	1	CARDINAL
ejpam-841	170	2	zero	CARDINAL
ejpam-841	171	1	two	CARDINAL
ejpam-841	177	1	ac − b)x	ORG
ejpam-841	177	2	bc	ORG
ejpam-841	181	1	t)−	PERSON
ejpam-841	185	1	− z′)s−	PERSON
ejpam-841	187	1	ac − b	ORG
ejpam-841	191	1	bc	ORG
ejpam-841	192	1	f(s	GPE
ejpam-841	193	1	bq+	GPE
ejpam-841	193	2	−aq−	ORG
ejpam-841	193	3	two	CARDINAL
ejpam-841	193	4	f(s	GPE
ejpam-841	194	1	−[(ac	DATE
ejpam-841	202	1	y t.	PERSON
ejpam-841	202	2	2	CARDINAL
ejpam-841	203	1	lemma 2	ORG
ejpam-841	205	1	f(s	GPE
ejpam-841	207	1	2	CARDINAL
ejpam-841	208	1	3.1.1	CARDINAL
ejpam-841	208	2	2	CARDINAL
ejpam-841	208	3	2k	CARDINAL
ejpam-841	208	4	j s j	PERSON
ejpam-841	208	5	2i−1	CARDINAL
ejpam-841	208	6	j t d−2−2i	PERSON
ejpam-841	208	7	2i−	CARDINAL
ejpam-841	211	1	t2 s2	ORG
ejpam-841	212	1	j td−2−2i− j}	WORK_OF_ART
ejpam-841	212	2	1	CARDINAL
ejpam-841	214	1	k− 1	PERSON
ejpam-841	215	1	d−2−2i(b)i−	GPE
ejpam-841	215	2	j td−2−2i− j	WORK_OF_ART
ejpam-841	216	1	j. hoffman	PERSON
ejpam-841	216	2	h. wang	PERSON
ejpam-841	216	3	x. jia	PERSON
ejpam-841	216	4	r. goldman	PERSON
ejpam-841	217	1	j. pure	PERSON
ejpam-841	217	2	3	CARDINAL
ejpam-841	217	3	2010	DATE
ejpam-841	217	4	602-632 609	QUANTITY
ejpam-841	219	1	j td−2−2i− j	ORG
ejpam-841	220	1	3	CARDINAL
ejpam-841	220	2	1	CARDINAL
ejpam-841	221	1	1,1	CARDINAL
ejpam-841	221	2	2k	CARDINAL
ejpam-841	221	3	3	CARDINAL
ejpam-841	221	4	1.	CARDINAL
ejpam-841	222	1	three	CARDINAL
ejpam-841	222	2	1,1	CARDINAL
ejpam-841	222	3	2	CARDINAL
ejpam-841	222	4	two	CARDINAL
ejpam-841	222	5	t(p	ORG
ejpam-841	222	6	3	CARDINAL
ejpam-841	222	7	k− 2	PERSON
ejpam-841	224	1	1	CARDINAL
ejpam-841	225	1	k− 2	PERSON
ejpam-841	225	2	3	CARDINAL
ejpam-841	225	3	1	CARDINAL
ejpam-841	226	1	k− 1	PERSON
ejpam-841	228	1	kustin	PERSON
ejpam-841	228	2	18	CARDINAL
ejpam-841	229	1	first	ORDINAL
ejpam-841	229	2	w	GPE
ejpam-841	229	3	t	GPE
ejpam-841	229	4	s, ri	GPE
ejpam-841	229	5	0	CARDINAL
ejpam-841	231	1	2	CARDINAL
ejpam-841	231	2	t3	ORG
ejpam-841	231	3	t4	GPE
ejpam-841	231	4	ci	PERSON
ejpam-841	231	5	0	CARDINAL
ejpam-841	234	1	1	CARDINAL
ejpam-841	234	2	2	CARDINAL
ejpam-841	234	3	2	CARDINAL
ejpam-841	234	4	1	CARDINAL
ejpam-841	234	5	t1,3 = z.	PERSON
ejpam-841	234	6	3.2	CARDINAL
ejpam-841	234	7	18	CARDINAL
ejpam-841	234	8	0,1	CARDINAL
ejpam-841	236	1	k− 2	PERSON
ejpam-841	237	1	3− 2a1	TIME
ejpam-841	237	2	1	CARDINAL
ejpam-841	237	3	2	CARDINAL
ejpam-841	237	4	1	CARDINAL
ejpam-841	237	5	1	CARDINAL
ejpam-841	237	6	3.5	CARDINAL
ejpam-841	237	7	18	CARDINAL
ejpam-841	237	8	t(p	ORG
ejpam-841	237	9	f1	PERSON
ejpam-841	238	1	f1	PERSON
ejpam-841	239	1	f1	PERSON
ejpam-841	241	1	k−2(rd−2	NORP
ejpam-841	245	1	rd−2	NORP
ejpam-841	248	1	k−2−i	PERSON
ejpam-841	248	2	∑ i=0	PERSON
ejpam-841	248	3	k−2−i	PERSON
ejpam-841	248	4	j. hoffman	PERSON
ejpam-841	248	5	h. wang	PERSON
ejpam-841	248	6	x. jia	PERSON
ejpam-841	248	7	r. goldman	PERSON
ejpam-841	249	1	j. pure	PERSON
ejpam-841	249	2	3	CARDINAL
ejpam-841	249	3	2010	DATE
ejpam-841	249	4	602	CARDINAL
ejpam-841	250	1	k−1r ′k−1	PERSON
ejpam-841	251	1	f1	PERSON
ejpam-841	252	1	∑ i+ j	PERSON
ejpam-841	255	1	j r2a1+i	PERSON
ejpam-841	256	1	a1−1 ∑ i=0 [	ORG
ejpam-841	257	1	1	CARDINAL
ejpam-841	257	2	k− 2	PERSON
ejpam-841	259	1	+ 1	DATE
ejpam-841	260	1	18	CARDINAL
ejpam-841	263	1	2	CARDINAL
ejpam-841	264	1	k−1 ∑ j=0	PERSON
ejpam-841	266	1	k−1− j	ORG
ejpam-841	266	2	t2 s2	ORG
ejpam-841	267	1	k−1−	ORG
ejpam-841	270	1	k−1− j(a	ORG
ejpam-841	273	1	′′	ORG
ejpam-841	278	1	4	CARDINAL
ejpam-841	279	1	j s j	PERSON
ejpam-841	282	1	j. hoffman	PERSON
ejpam-841	282	2	h. wang	PERSON
ejpam-841	282	3	x. jia	PERSON
ejpam-841	282	4	r. goldman	PERSON
ejpam-841	283	1	j. pure	PERSON
ejpam-841	283	2	3	CARDINAL
ejpam-841	283	3	2010	DATE
ejpam-841	283	4	602	CARDINAL
ejpam-841	283	5	r2 j(b	PERSON
ejpam-841	283	6	j + r2 j+1(b) j(a	PERSON
ejpam-841	284	1	j + r2	PERSON
ejpam-841	285	1	5	CARDINAL
ejpam-841	285	2	1	CARDINAL
ejpam-841	286	1	k− 1	PERSON
ejpam-841	286	2	j s j	PERSON
ejpam-841	286	3	2i−1	CARDINAL
ejpam-841	286	4	j t d−2−2i	PERSON
ejpam-841	287	1	2i−	CARDINAL
ejpam-841	288	1	t2 s2	ORG
ejpam-841	289	1	j td−2−2i− j	WORK_OF_ART
ejpam-841	290	1	1	CARDINAL
ejpam-841	291	1	k− 1	PERSON
ejpam-841	292	1	j td−2−2i− j	WORK_OF_ART
ejpam-841	295	1	j td−2−2i− j	ORG
ejpam-841	296	1	6	CARDINAL
ejpam-841	296	2	2	CARDINAL
ejpam-841	296	3	1,1	CARDINAL
ejpam-841	296	4	5	CARDINAL
ejpam-841	297	1	1.	CARDINAL
ejpam-841	298	1	three	CARDINAL
ejpam-841	298	2	1,1	CARDINAL
ejpam-841	298	3	2	CARDINAL
ejpam-841	298	4	three	CARDINAL
ejpam-841	298	5	t(p	ORG
ejpam-841	298	6	0	CARDINAL
ejpam-841	298	7	1	CARDINAL
ejpam-841	298	8	3	CARDINAL
ejpam-841	298	9	1	CARDINAL
ejpam-841	298	10	′′	ORG
ejpam-841	299	1	1	CARDINAL
ejpam-841	300	1	k− 1	PERSON
ejpam-841	300	2	′′	ORG
ejpam-841	300	3	4	CARDINAL
ejpam-841	300	4	5	CARDINAL
ejpam-841	300	5	6	CARDINAL
ejpam-841	302	1	kustin	PERSON
ejpam-841	302	2	18	CARDINAL
ejpam-841	303	1	j. hoffman	PERSON
ejpam-841	303	2	h. wang	PERSON
ejpam-841	303	3	x. jia	PERSON
ejpam-841	303	4	r. goldman	PERSON
ejpam-841	304	1	j. pure	PERSON
ejpam-841	304	2	3	CARDINAL
ejpam-841	304	3	2010	DATE
ejpam-841	304	4	602	CARDINAL
ejpam-841	304	5	first	ORDINAL
ejpam-841	304	6	w	GPE
ejpam-841	304	7	t	GPE
ejpam-841	304	8	s, ri	GPE
ejpam-841	304	9	0	CARDINAL
ejpam-841	306	1	2	CARDINAL
ejpam-841	306	2	t3	ORG
ejpam-841	306	3	t4	GPE
ejpam-841	306	4	ci	PERSON
ejpam-841	306	5	0	CARDINAL
ejpam-841	309	1	1	CARDINAL
ejpam-841	309	2	2	CARDINAL
ejpam-841	309	3	2	CARDINAL
ejpam-841	309	4	1	CARDINAL
ejpam-841	309	5	t1,3 = z.	PERSON
ejpam-841	309	6	3.2	CARDINAL
ejpam-841	309	7	18	CARDINAL
ejpam-841	309	8	0,1	CARDINAL
ejpam-841	311	1	k− 1	PERSON
ejpam-841	313	1	3− 2a1	TIME
ejpam-841	313	2	1	CARDINAL
ejpam-841	313	3	1	CARDINAL
ejpam-841	313	4	2	CARDINAL
ejpam-841	313	5	1	CARDINAL
ejpam-841	313	6	3.5	CARDINAL
ejpam-841	313	7	18	CARDINAL
ejpam-841	313	8	t(p	ORG
ejpam-841	313	9	f1	PERSON
ejpam-841	314	1	f1	PERSON
ejpam-841	316	1	∑ i=0	PERSON
ejpam-841	319	1	∑ i=0	PERSON
ejpam-841	320	1	k k−1 ∑ i=0	PERSON
ejpam-841	321	1	kr ′′	PERSON
ejpam-841	322	1	f1	PERSON
ejpam-841	322	2	0	CARDINAL
ejpam-841	322	3	1	CARDINAL
ejpam-841	325	1	y + rd−3z	PERSON
ejpam-841	326	1	∑ i=0	PERSON
ejpam-841	328	1	k−1	GPE
ejpam-841	329	1	k−2 ∑ i=0	ORG
ejpam-841	333	1	k−1 ∑ i=0	ORG
ejpam-841	337	1	f2	ORG
ejpam-841	337	2	0	CARDINAL
ejpam-841	337	3	1	CARDINAL
ejpam-841	338	1	∑ i+ j	PERSON
ejpam-841	341	1	t × j. hoffman	ORG
ejpam-841	341	2	h. wang	PERSON
ejpam-841	341	3	x. jia	PERSON
ejpam-841	341	4	r. goldman	PERSON
ejpam-841	342	1	j. pure	PERSON
ejpam-841	342	2	3	CARDINAL
ejpam-841	342	3	2010	DATE
ejpam-841	342	4	602	CARDINAL
ejpam-841	342	5	j r2a1+i	PERSON
ejpam-841	343	1	a1−1 ∑ i=0 [	ORG
ejpam-841	344	1	1	CARDINAL
ejpam-841	344	2	k− 1	PERSON
ejpam-841	346	1	+ 1	DATE
ejpam-841	347	1	18	CARDINAL
ejpam-841	349	1	3.2	CARDINAL
ejpam-841	350	1	1	CARDINAL
ejpam-841	350	2	1	DATE
ejpam-841	350	3	2	CARDINAL
ejpam-841	350	4	1,1	CARDINAL
ejpam-841	351	1	3	CARDINAL
ejpam-841	352	1	1,1	CARDINAL
ejpam-841	353	1	w	ORG
ejpam-841	354	1	first	ORDINAL
ejpam-841	354	2	k[x	GPE
ejpam-841	355	1	2	CARDINAL
ejpam-841	356	1	4	CARDINAL
ejpam-841	357	1	f(s	GPE
ejpam-841	357	2	y x	PERSON
ejpam-841	358	1	7	CARDINAL
ejpam-841	362	1	j(b	GPE
ejpam-841	362	2	j(b	GPE
ejpam-841	363	1	j(b	GPE
ejpam-841	367	1	j. hoffman	PERSON
ejpam-841	367	2	h. wang	PERSON
ejpam-841	367	3	x. jia	PERSON
ejpam-841	367	4	r. goldman	PERSON
ejpam-841	368	1	j. pure	PERSON
ejpam-841	368	2	3	CARDINAL
ejpam-841	368	3	2010	DATE
ejpam-841	368	4	602	CARDINAL
ejpam-841	370	1	j=0	GPE
ejpam-841	372	1	0	CARDINAL
ejpam-841	373	1	1	CARDINAL
ejpam-841	377	1	∑ ℓ=i	PERSON
ejpam-841	377	2	[ j−1 ∑ ℓ=0 rℓ	PERSON
ejpam-841	379	1	[ j−1 ∑ ℓ=0 rℓ	PERSON
ejpam-841	381	1	1	CARDINAL
ejpam-841	384	1	i− j(a	PERSON
ejpam-841	385	1	i− j−ℓ	PERSON
ejpam-841	385	2	i− j−ℓ	PERSON
ejpam-841	385	3	j = i.	PERSON
ejpam-841	385	4	i− j	PERSON
ejpam-841	387	1	9	CARDINAL
ejpam-841	387	2	i− j−ℓ	PERSON
ejpam-841	387	3	j = i. theorem 3	PERSON
ejpam-841	387	4	1,1	CARDINAL
ejpam-841	387	5	2	CARDINAL
ejpam-841	387	6	3+ d +	QUANTITY
ejpam-841	387	7	3	CARDINAL
ejpam-841	387	8	2	CARDINAL
ejpam-841	388	1	1.	CARDINAL
ejpam-841	388	2	three	CARDINAL
ejpam-841	389	1	1,1	CARDINAL
ejpam-841	391	1	2	CARDINAL
ejpam-841	391	2	t(p	ORG
ejpam-841	391	3	2	CARDINAL
ejpam-841	393	1	j. hoffman	PERSON
ejpam-841	393	2	h. wang	PERSON
ejpam-841	393	3	x. jia	PERSON
ejpam-841	393	4	r. goldman	PERSON
ejpam-841	394	1	j. pure	PERSON
ejpam-841	394	2	3	CARDINAL
ejpam-841	394	3	2010	DATE
ejpam-841	394	4	602	CARDINAL
ejpam-841	395	1	2	CARDINAL
ejpam-841	395	2	jz i− j	PERSON
ejpam-841	395	3	i− j	PERSON
ejpam-841	395	4	1	CARDINAL
ejpam-841	397	1	d−3	ORG
ejpam-841	397	2	0≤ j ≤	QUANTITY
ejpam-841	398	1	i− j	PERSON
ejpam-841	398	2	8)	CARDINAL
ejpam-841	398	3	9	CARDINAL
ejpam-841	400	1	kustin	PERSON
ejpam-841	400	2	18	CARDINAL
ejpam-841	401	1	first	ORDINAL
ejpam-841	401	2	w	GPE
ejpam-841	401	3	t	GPE
ejpam-841	401	4	s, ri	GPE
ejpam-841	401	5	0	CARDINAL
ejpam-841	403	1	2	CARDINAL
ejpam-841	403	2	t3	ORG
ejpam-841	403	3	t4	GPE
ejpam-841	403	4	ci	PERSON
ejpam-841	403	5	0	CARDINAL
ejpam-841	406	1	2	CARDINAL
ejpam-841	406	2	3	CARDINAL
ejpam-841	407	1	1	CARDINAL
ejpam-841	407	2	t1,2	ORG
ejpam-841	407	3	t1,3	NORP
ejpam-841	407	4	t2,1	ORG
ejpam-841	410	1	3.2	CARDINAL
ejpam-841	410	2	18	CARDINAL
ejpam-841	410	3	0≤	CARDINAL
ejpam-841	411	1	3	CARDINAL
ejpam-841	412	1	3− a1	TIME
ejpam-841	413	1	r(a1	ORG
ejpam-841	413	2	1	CARDINAL
ejpam-841	413	3	r(a1	ORG
ejpam-841	414	1	1	CARDINAL
ejpam-841	415	1	3	CARDINAL
ejpam-841	416	1	1	CARDINAL
ejpam-841	416	2	1	CARDINAL
ejpam-841	416	3	3.5	CARDINAL
ejpam-841	416	4	18	CARDINAL
ejpam-841	416	5	t(p	ORG
ejpam-841	416	6	f1	PERSON
ejpam-841	417	1	f1	PERSON
ejpam-841	423	1	f1	PERSON
ejpam-841	424	1	0	CARDINAL
ejpam-841	425	1	∑ i+ j	PERSON
ejpam-841	430	1	∑ i=0	PERSON
ejpam-841	433	1	a1−1 ∑ i=0 ri	ORG
ejpam-841	433	2	d−2−a1	PRODUCT
ejpam-841	434	1	d−2−a1−i	GPE
ejpam-841	435	1	′a1	PERSON
ejpam-841	436	1	j. hoffman	PERSON
ejpam-841	436	2	h. wang	PERSON
ejpam-841	436	3	x. jia	PERSON
ejpam-841	436	4	r. goldman	PERSON
ejpam-841	437	1	j. pure	PERSON
ejpam-841	437	2	3	CARDINAL
ejpam-841	437	3	2010	DATE
ejpam-841	437	4	602	CARDINAL
ejpam-841	438	1	0, d−1	ORG
ejpam-841	440	1	3	CARDINAL
ejpam-841	441	1	∑ i+ j	PERSON
ejpam-841	446	1	i=0 ra1+a2+i	LOC
ejpam-841	446	2	a1−1 ∑ i=0 ri	ORG
ejpam-841	448	1	∑ i=0	ORG
ejpam-841	449	1	i=0 ra1+a2+i	LOC
ejpam-841	449	2	i=0 ri	GPE
ejpam-841	450	1	∑ i=0	ORG
ejpam-841	450	2	i=0 ra1+a2+i	LOC
ejpam-841	450	3	0	CARDINAL
ejpam-841	451	1	0	CARDINAL
ejpam-841	453	1	0 ≤	QUANTITY
ejpam-841	454	1	3	CARDINAL
ejpam-841	454	2	18	CARDINAL
ejpam-841	456	1	3.3	CARDINAL
ejpam-841	456	2	theorems 1	ORG
ejpam-841	456	3	2	DATE
ejpam-841	456	4	3	CARDINAL
ejpam-841	456	5	1,1	CARDINAL
ejpam-841	456	6	2	CARDINAL
ejpam-841	456	7	3	CARDINAL
ejpam-841	457	1	4	CARDINAL
ejpam-841	458	1	f(s	GPE
ejpam-841	458	2	1	CARDINAL
ejpam-841	459	1	1	CARDINAL
ejpam-841	461	1	2	CARDINAL
ejpam-841	462	1	j. hoffman	PERSON
ejpam-841	462	2	h. wang	PERSON
ejpam-841	462	3	x. jia	PERSON
ejpam-841	462	4	r. goldman	PERSON
ejpam-841	463	1	j. pure	PERSON
ejpam-841	463	2	3	CARDINAL
ejpam-841	463	3	2010	DATE
ejpam-841	463	4	602	CARDINAL
ejpam-841	464	1	6=	CARDINAL
ejpam-841	464	2	∈k	NORP
ejpam-841	465	1	−aq0	GPE
ejpam-841	465	2	ac −	ORG
ejpam-841	467	1	ri	GPE
ejpam-841	467	2	w.	PERSON
ejpam-841	467	3	1	CARDINAL
ejpam-841	467	4	2k	CARDINAL
ejpam-841	467	5	t(p	ORG
ejpam-841	467	6	y x	PERSON
ejpam-841	467	7	0	CARDINAL
ejpam-841	469	1	k− 1	PERSON
ejpam-841	469	2	y x	PERSON
ejpam-841	469	3	r2 j	PERSON
ejpam-841	469	4	j td−2−2i− j	ORG
ejpam-841	470	1	2	CARDINAL
ejpam-841	470	2	t(p	ORG
ejpam-841	470	3	y x	PERSON
ejpam-841	470	4	1	CARDINAL
ejpam-841	472	1	k− 1	PERSON
ejpam-841	472	2	r2 j	PERSON
ejpam-841	472	3	r2 j	PERSON
ejpam-841	472	4	j + r2	PERSON
ejpam-841	473	1	r2 j	PERSON
ejpam-841	473	2	j td−2−2i− j	WORK_OF_ART
ejpam-841	474	1	j. hoffman	PERSON
ejpam-841	474	2	h. wang	PERSON
ejpam-841	474	3	x. jia	PERSON
ejpam-841	474	4	r. goldman	PERSON
ejpam-841	475	1	j. pure	PERSON
ejpam-841	475	2	3	CARDINAL
ejpam-841	475	3	2010	DATE
ejpam-841	475	4	602-632	CARDINAL
ejpam-841	476	1	y = p1	PERSON
ejpam-841	476	2	ri	GPE
ejpam-841	476	3	w.	PERSON
ejpam-841	476	4	t(p	ORG
ejpam-841	476	5	i− j �	PERSON
ejpam-841	480	1	1	CARDINAL
ejpam-841	483	1	j � w	PERSON
ejpam-841	483	2	j=0	GPE
ejpam-841	483	3	i− j � y x	PERSON
ejpam-841	484	1	j ∑ ℓ=0	PERSON
ejpam-841	484	2	i− j−ℓ	PERSON
ejpam-841	484	3	two	CARDINAL
ejpam-841	484	4	4	CARDINAL
ejpam-841	485	1	1	CARDINAL
ejpam-841	486	1	f(s	GPE
ejpam-841	486	2	2s2t3	CARDINAL
ejpam-841	486	3	s5	GPE
ejpam-841	486	4	4s2	CARDINAL
ejpam-841	487	1	t3	ORG
ejpam-841	489	1	t5	ORG
ejpam-841	490	1	f(s	GPE
ejpam-841	492	1	3	CARDINAL
ejpam-841	494	1	w.	PERSON
ejpam-841	494	2	+ws2	DATE
ejpam-841	494	3	t3	ORG
ejpam-841	495	1	t(p	ORG
ejpam-841	496	1	2	CARDINAL
ejpam-841	496	2	4z2	CARDINAL
ejpam-841	496	3	j. hoffman	PERSON
ejpam-841	496	4	h. wang	PERSON
ejpam-841	496	5	x. jia	PERSON
ejpam-841	496	6	r. goldman	PERSON
ejpam-841	497	1	j. pure	PERSON
ejpam-841	497	2	3	CARDINAL
ejpam-841	497	3	2010	DATE
ejpam-841	497	4	602	CARDINAL
ejpam-841	497	5	2r	CARDINAL
ejpam-841	497	6	′′	ORG
ejpam-841	498	1	2{[1+	DATE
ejpam-841	499	1	2	CARDINAL
ejpam-841	502	1	17x	ORDINAL
ejpam-841	504	1	84xzw+	CARDINAL
ejpam-841	504	2	z2r	GPE
ejpam-841	506	1	2	CARDINAL
ejpam-841	507	1	+ 3x2z	CARDINAL
ejpam-841	507	2	3xz2	CARDINAL
ejpam-841	511	1	2	CARDINAL
ejpam-841	514	1	10xwt	CARDINAL
ejpam-841	515	1	2	CARDINAL
ejpam-841	515	2	7	CARDINAL
ejpam-841	515	3	f(s	GPE
ejpam-841	516	1	s6	GPE
ejpam-841	516	2	st6	ORG
ejpam-841	517	1	f(s	GPE
ejpam-841	518	1	t(p	ORG
ejpam-841	518	2	y x	PERSON
ejpam-841	519	1	5	CARDINAL
ejpam-841	521	1	xz4r	WORK_OF_ART
ejpam-841	521	2	y x	PERSON
ejpam-841	523	1	4	CARDINAL
ejpam-841	525	1	y x	PERSON
ejpam-841	527	1	3	CARDINAL
ejpam-841	527	2	2	CARDINAL
ejpam-841	529	1	y x	PERSON
ejpam-841	531	1	2	CARDINAL
ejpam-841	531	2	3	CARDINAL
ejpam-841	532	1	y x	PERSON
ejpam-841	532	2	4	CARDINAL
ejpam-841	532	3	x5r	PERSON
ejpam-841	532	4	y x	PERSON
ejpam-841	533	1	5	CARDINAL
ejpam-841	534	1	d(d − 3	ORG
ejpam-841	534	2	2	CARDINAL
ejpam-841	534	3	7(4	CARDINAL
ejpam-841	534	4	2	CARDINAL
ejpam-841	534	5	14	CARDINAL
ejpam-841	535	1	jz i− j	PERSON
ejpam-841	535	2	i− j	PERSON
ejpam-841	535	3	y x	PERSON
ejpam-841	535	4	1	CARDINAL
ejpam-841	537	1	3= 4	DATE
ejpam-841	538	1	z[zs4	CARDINAL
ejpam-841	538	2	y t4	PERSON
ejpam-841	540	1	x[zs4	ORG
ejpam-841	541	1	y t4	PERSON
ejpam-841	542	1	2	CARDINAL
ejpam-841	543	1	− y2wt3	PERSON
ejpam-841	543	2	2	CARDINAL
ejpam-841	544	1	− y3 t3	PERSON
ejpam-841	544	2	3	CARDINAL
ejpam-841	544	3	− yw3 t2	PERSON
ejpam-841	545	1	2	CARDINAL
ejpam-841	547	1	2	CARDINAL
ejpam-841	548	1	j. hoffman	PERSON
ejpam-841	548	2	h. wang	PERSON
ejpam-841	548	3	x. jia	PERSON
ejpam-841	548	4	r. goldman	PERSON
ejpam-841	549	1	j. pure	PERSON
ejpam-841	549	2	3	CARDINAL
ejpam-841	549	3	2010	DATE
ejpam-841	549	4	602	CARDINAL
ejpam-841	550	1	3	CARDINAL
ejpam-841	550	2	4	CARDINAL
ejpam-841	550	3	3	CARDINAL
ejpam-841	551	1	2	CARDINAL
ejpam-841	551	2	2	CARDINAL
ejpam-841	551	3	3	CARDINAL
ejpam-841	552	1	4	CARDINAL
ejpam-841	552	2	4	CARDINAL
ejpam-841	553	1	first	ORDINAL
ejpam-841	556	1	4	CARDINAL
ejpam-841	557	1	two	CARDINAL
ejpam-841	560	1	14	CARDINAL
ejpam-841	560	2	353	CARDINAL
ejpam-841	560	3	zero	CARDINAL
ejpam-841	560	4	zero	CARDINAL
ejpam-841	561	1	two	CARDINAL
ejpam-841	561	2	13	CARDINAL
ejpam-841	561	3	chapter 1	LAW
ejpam-841	562	1	ifc	ORG
ejpam-841	562	2	zero	CARDINAL
ejpam-841	562	3	andc	ORG
ejpam-841	563	1	6	CARDINAL
ejpam-841	563	2	27	CARDINAL
ejpam-841	564	1	lemma 1	ORG
ejpam-841	564	2	t(p	ORG
ejpam-841	567	1	4.1	CARDINAL
ejpam-841	568	1	2	CARDINAL
ejpam-841	568	2	q.	PERSON
ejpam-841	569	1	two	CARDINAL
ejpam-841	569	2	f(s2	CARDINAL
ejpam-841	569	3	3.3	CARDINAL
ejpam-841	569	4	26	CARDINAL
ejpam-841	569	5	two	CARDINAL
ejpam-841	570	1	t1),f(s2	GPE
ejpam-841	571	1	l1,l2	ORG
ejpam-841	573	1	two	CARDINAL
ejpam-841	573	2	f(s2	CARDINAL
ejpam-841	574	1	t1),f(s2	GPE
ejpam-841	574	2	0	CARDINAL
ejpam-841	574	3	10	CARDINAL
ejpam-841	574	4	j. hoffman	PERSON
ejpam-841	574	5	h. wang	PERSON
ejpam-841	574	6	x. jia	PERSON
ejpam-841	574	7	r. goldman	PERSON
ejpam-841	575	1	j. pure	PERSON
ejpam-841	575	2	3	CARDINAL
ejpam-841	575	3	2010	DATE
ejpam-841	575	4	602	CARDINAL
ejpam-841	576	1	w	ORG
ejpam-841	577	1	two	CARDINAL
ejpam-841	580	1	1	CARDINAL
ejpam-841	580	2	w. let m(p	PERSON
ejpam-841	580	3	3	CARDINAL
ejpam-841	580	4	− s2 t)q	ORG
ejpam-841	580	5	r.	NORP
ejpam-841	581	1	t2s−	ORG
ejpam-841	582	1	m(p	PERSON
ejpam-841	583	1	11	CARDINAL
ejpam-841	584	1	17	CARDINAL
ejpam-841	584	2	4.9	CARDINAL
ejpam-841	584	3	4.11	CARDINAL
ejpam-841	585	1	5	CARDINAL
ejpam-841	586	1	11	CARDINAL
ejpam-841	587	1	det(m	NORP
ejpam-841	588	1	a(x	PERSON
ejpam-841	588	2	0	CARDINAL
ejpam-841	588	3	h(x	PERSON
ejpam-841	589	1	0	CARDINAL
ejpam-841	590	1	6	CARDINAL
ejpam-841	591	1	11	CARDINAL
ejpam-841	592	1	0	CARDINAL
ejpam-841	593	1	two	CARDINAL
ejpam-841	593	2	t(p	ORG
ejpam-841	595	1	3	CARDINAL
ejpam-841	595	2	t4	GPE
ejpam-841	596	1	j. hoffman	PERSON
ejpam-841	596	2	h. wang	PERSON
ejpam-841	596	3	x. jia	PERSON
ejpam-841	596	4	r. goldman	PERSON
ejpam-841	597	1	j. pure	PERSON
ejpam-841	597	2	3	CARDINAL
ejpam-841	597	3	2010	DATE
ejpam-841	597	4	602	CARDINAL
ejpam-841	597	5	24	CARDINAL
ejpam-841	597	6	ws2 − zt2	PERSON
ejpam-841	598	1	1,1,1,1	CARDINAL
ejpam-841	598	2	1,0,0,0	CARDINAL
ejpam-841	599	1	2	CARDINAL
ejpam-841	600	1	1,1,1,1	CARDINAL
ejpam-841	601	1	1,1	CARDINAL
ejpam-841	601	2	1,0,0,0	CARDINAL
ejpam-841	601	3	1,0	CARDINAL
ejpam-841	602	1	t(p	ORG
ejpam-841	602	2	y −	PERSON
ejpam-841	604	1	g = det(m(p	PERSON
ejpam-841	605	1	det	DATE
ejpam-841	605	2	  	PRODUCT
ejpam-841	605	3		PERSON
ejpam-841	609	1	0	CARDINAL
ejpam-841	609	2		PERSON
ejpam-841	611	1	p(s	GPE
ejpam-841	611	2	q(s	GPE
ejpam-841	613	1	0	CARDINAL
ejpam-841	614	1	− xw	PERSON
ejpam-841	615	1	1	CARDINAL
ejpam-841	616	1	0	CARDINAL
ejpam-841	616	2	4.2	CARDINAL
ejpam-841	617	1	f1	PERSON
ejpam-841	617	2	f2	ORG
ejpam-841	618	1	lemma 4	ORG
ejpam-841	619	1	5	CARDINAL
ejpam-841	620	1	4	CARDINAL
ejpam-841	620	2	0	CARDINAL
ejpam-841	620	3	0	CARDINAL
ejpam-841	620	4	f4	CARDINAL
ejpam-841	620	5	0	CARDINAL
ejpam-841	620	6	one	CARDINAL
ejpam-841	620	7	three cubic	QUANTITY
ejpam-841	621	1	t(p	ORG
ejpam-841	621	2	1	CARDINAL
ejpam-841	622	1	j. hoffman	PERSON
ejpam-841	622	2	h. wang	PERSON
ejpam-841	622	3	x. jia	PERSON
ejpam-841	622	4	r. goldman	PERSON
ejpam-841	623	1	j. pure	PERSON
ejpam-841	623	2	3	CARDINAL
ejpam-841	623	3	2010	DATE
ejpam-841	623	4	602	CARDINAL
ejpam-841	623	5	1	CARDINAL
ejpam-841	625	1	1	CARDINAL
ejpam-841	625	2	st3	PERSON
ejpam-841	625	3	t4	PERSON
ejpam-841	626	1	f(s	GPE
ejpam-841	627	1	at4	ORG
ejpam-841	627	2	− ct4	PERSON
ejpam-841	627	3	st3 − d t4	PERSON
ejpam-841	628	1	〈x −	PERSON
ejpam-841	629	1	− ct4	PERSON
ejpam-841	629	2	w −	PERSON
ejpam-841	629	3	t4	GPE
ejpam-841	629	4	d)[x	WORK_OF_ART
ejpam-841	630	1	four	CARDINAL
ejpam-841	630	2	f1	PERSON
ejpam-841	630	3	f2	ORG
ejpam-841	630	4	f4	CARDINAL
ejpam-841	630	5	one quadric f1	MONEY
ejpam-841	630	6	three	CARDINAL
ejpam-841	630	7	f4	CARDINAL
ejpam-841	631	1	t(p	ORG
ejpam-841	631	2	4	CARDINAL
ejpam-841	631	3	one quadric	MONEY
ejpam-841	632	1	+ d2)xz+	GPE
ejpam-841	632	2	−b+ cd)yz	DATE
ejpam-841	633	1	c2)yw+	PRODUCT
ejpam-841	633	2	ac − b2)w2	ORG
ejpam-841	633	3	f2	ORG
ejpam-841	635	1	2bd	ORDINAL
ejpam-841	636	1	3bc−	CARDINAL
ejpam-841	636	2	3bcd	CARDINAL
ejpam-841	637	1	bc	ORG
ejpam-841	637	2	−bc+ bd2+	PERSON
ejpam-841	638	1	− bc2	ORG
ejpam-841	640	1	− ac2 + 2acd2 +	PERSON
ejpam-841	640	2	2bcd3)zw2+	DATE
ejpam-841	640	3	2abc	CARDINAL
ejpam-841	640	4	bc3 +	GPE
ejpam-841	640	5	bc	ORG
ejpam-841	641	1	yw+	PRODUCT
ejpam-841	641	2	−bc + bd2+ cd3	ORG
ejpam-841	641	3	− bd3+ c3	PERSON
ejpam-841	641	4	3c2d2	CARDINAL
ejpam-841	641	5	j. hoffman	PERSON
ejpam-841	641	6	h. wang	PERSON
ejpam-841	641	7	x. jia	PERSON
ejpam-841	641	8	r. goldman	PERSON
ejpam-841	642	1	j. pure	PERSON
ejpam-841	642	2	3	CARDINAL
ejpam-841	642	3	2010	DATE
ejpam-841	642	4	602	CARDINAL
ejpam-841	644	1	2bc2d	CARDINAL
ejpam-841	644	2	abd − ac2 − acd2	PERSON
ejpam-841	644	3	−a2d −	ORG
ejpam-841	644	4	2acd3− bc3)zw2 +	DATE
ejpam-841	644	5	2a2c	CARDINAL
ejpam-841	645	1	5	CARDINAL
ejpam-841	646	1	four	CARDINAL
ejpam-841	647	1	first	ORDINAL
ejpam-841	647	2	1	CARDINAL
ejpam-841	651	1	1	CARDINAL
ejpam-841	652	1	three	CARDINAL
ejpam-841	652	2	t(p	ORG
ejpam-841	653	1	det	DATE
ejpam-841	653	2	0	CARDINAL
ejpam-841	653	3		PERSON
ejpam-841	654	1	det	DATE
ejpam-841	654	2	  	PRODUCT
ejpam-841	654	3	0	CARDINAL
ejpam-841	655	1		PERSON
ejpam-841	656	1	+ r0q2 1	DATE
ejpam-841	656	2	deg(res(p	ORG
ejpam-841	656	3	2	CARDINAL
ejpam-841	656	4	deg(res(p	ORG
ejpam-841	656	5	3	CARDINAL
ejpam-841	657	1	3	CARDINAL
ejpam-841	657	2	w. remark 4	PERSON
ejpam-841	658	1	three	CARDINAL
ejpam-841	660	1	6	CARDINAL
ejpam-841	664	1	1	CARDINAL
ejpam-841	665	1	6= 1	DATE
ejpam-841	665	2	0	CARDINAL
ejpam-841	665	3	deg(gcd(p(s	GPE
ejpam-841	665	4	a),q(s	NORP
ejpam-841	665	5	t	GPE
ejpam-841	665	6	1	CARDINAL
ejpam-841	665	7	deg(gcd(p(s	GPE
ejpam-841	665	8	r(s	PRODUCT
ejpam-841	666	1	1	CARDINAL
ejpam-841	667	1	1	CARDINAL
ejpam-841	667	2	2	CARDINAL
ejpam-841	667	3	deg(gcd(p(s	GPE
ejpam-841	667	4	a),q(s	NORP
ejpam-841	667	5	t	GPE
ejpam-841	667	6	r(s	PRODUCT
ejpam-841	668	1	1	CARDINAL
ejpam-841	668	2	j. hoffman	PERSON
ejpam-841	668	3	h. wang	PERSON
ejpam-841	668	4	x. jia	PERSON
ejpam-841	668	5	r. goldman	PERSON
ejpam-841	669	1	j. pure	PERSON
ejpam-841	669	2	3	CARDINAL
ejpam-841	669	3	2010	DATE
ejpam-841	669	4	602-632 625	CARDINAL
ejpam-841	669	5	1	CARDINAL
ejpam-841	673	1	1	CARDINAL
ejpam-841	675	1	1	CARDINAL
ejpam-841	676	1	6= 1	DATE
ejpam-841	678	1	3	CARDINAL
ejpam-841	679	1	0	CARDINAL
ejpam-841	680	1	0	CARDINAL
ejpam-841	680	2	p(s	GPE
ejpam-841	680	3	deg(gcd(q(s	ORG
ejpam-841	680	4	r(s	PRODUCT
ejpam-841	681	1	1	CARDINAL
ejpam-841	681	2	deg(gcd(p(s	GPE
ejpam-841	681	3	a),q(s	NORP
ejpam-841	681	4	t	GPE
ejpam-841	681	5	r(s	PRODUCT
ejpam-841	681	6	1	CARDINAL
ejpam-841	684	1	2	CARDINAL
ejpam-841	684	2	only one	CARDINAL
ejpam-841	685	1	1	CARDINAL
ejpam-841	685	2	1	CARDINAL
ejpam-841	686	1	only one	CARDINAL
ejpam-841	687	1	1	CARDINAL
ejpam-841	689	1	1.	CARDINAL
ejpam-841	689	2	3×	CARDINAL
ejpam-841	689	3	3	CARDINAL
ejpam-841	689	4	r.	NORP
ejpam-841	691	1	0	CARDINAL
ejpam-841	692	1	r0   	ORG
ejpam-841	693	1	12	CARDINAL
ejpam-841	693	2	7	CARDINAL
ejpam-841	693	3	zero	CARDINAL
ejpam-841	697	1	3	CARDINAL
ejpam-841	698	1	three	CARDINAL
ejpam-841	698	2	n(p	DATE
ejpam-841	698	3	three	CARDINAL
ejpam-841	700	1	ar2 + br1+ cr0 =	LAW
ejpam-841	700	2	0	CARDINAL
ejpam-841	700	3	a(x	PERSON
ejpam-841	700	4	w	GPE
ejpam-841	700	5	w	GPE
ejpam-841	700	6	c(x	ORG
ejpam-841	700	7	w	ORG
ejpam-841	700	8	w	GPE
ejpam-841	700	9	zero	CARDINAL
ejpam-841	701	1	first	ORDINAL
ejpam-841	701	2	j. hoffman	PERSON
ejpam-841	701	3	h. wang	PERSON
ejpam-841	701	4	x. jia	PERSON
ejpam-841	701	5	r. goldman	PERSON
ejpam-841	702	1	j. pure	PERSON
ejpam-841	702	2	3	CARDINAL
ejpam-841	702	3	2010	DATE
ejpam-841	702	4	602	CARDINAL
ejpam-841	703	1	second	ORDINAL
ejpam-841	704	1	third	ORDINAL
ejpam-841	705	1	+ ywr0	PERSON
ejpam-841	706	1	xz	ORG
ejpam-841	707	1	syzygy	ORG
ejpam-841	707	2	xz	ORG
ejpam-841	707	3	0	CARDINAL
ejpam-841	707	4	w,−z	ORG
ejpam-841	708	1	w. hence	PERSON
ejpam-841	708	2	three	CARDINAL
ejpam-841	708	3	first	ORDINAL
ejpam-841	708	4	two	CARDINAL
ejpam-841	715	1	7	CARDINAL
ejpam-841	716	1	0	CARDINAL
ejpam-841	716	2	res(q	ORG
ejpam-841	717	1	r. proof	PERSON
ejpam-841	719	1	0	CARDINAL
ejpam-841	720	1	4	CARDINAL
ejpam-841	720	2	0	CARDINAL
ejpam-841	722	1	four	CARDINAL
ejpam-841	722	2	f1	PERSON
ejpam-841	722	3	f2	ORG
ejpam-841	722	4	f4	CARDINAL
ejpam-841	722	5	5	CARDINAL
ejpam-841	723	1	0	CARDINAL
ejpam-841	724	1	one	CARDINAL
ejpam-841	725	1	at least one	CARDINAL
ejpam-841	726	1	3	CARDINAL
ejpam-841	729	1	0	CARDINAL
ejpam-841	730	1	0	CARDINAL
ejpam-841	731	1	0	CARDINAL
ejpam-841	731	2	0	DATE
ejpam-841	732	1	0	CARDINAL
ejpam-841	732	2	det(n)(p	PERSON
ejpam-841	732	3	6=	CARDINAL
ejpam-841	733	1	deg(gcd(p	ORG
ejpam-841	735	1	bs	GPE
ejpam-841	736	1	1	CARDINAL
ejpam-841	737	1	three cubic	QUANTITY
ejpam-841	737	2	0	CARDINAL
ejpam-841	738	1	0	CARDINAL
ejpam-841	738	2	0	CARDINAL
ejpam-841	739	1	0	CARDINAL
ejpam-841	740	1	0	CARDINAL
ejpam-841	741	1	0	CARDINAL
ejpam-841	742	1	q(s	GPE
ejpam-841	742	2	0	CARDINAL
ejpam-841	742	3	r(s	PRODUCT
ejpam-841	744	1	p(s	GPE
ejpam-841	744	2	0	CARDINAL
ejpam-841	744	3	1	CARDINAL
ejpam-841	746	1	three	CARDINAL
ejpam-841	746	2	0	CARDINAL
ejpam-841	747	1	three cubic	QUANTITY
ejpam-841	748	1	0	CARDINAL
ejpam-841	749	1	0	CARDINAL
ejpam-841	749	2	j. hoffman	PERSON
ejpam-841	749	3	h. wang	PERSON
ejpam-841	749	4	x. jia	PERSON
ejpam-841	749	5	r. goldman	PERSON
ejpam-841	750	1	j. pure	PERSON
ejpam-841	750	2	3	CARDINAL
ejpam-841	750	3	2010	DATE
ejpam-841	750	4	602-632 627	CARDINAL
ejpam-841	750	5	det(n)〉= 〈res(p	PERSON
ejpam-841	752	1	0	CARDINAL
ejpam-841	754	1	three cubic	QUANTITY
ejpam-841	755	1	0	CARDINAL
ejpam-841	756	1	5	CARDINAL
ejpam-841	757	1	0	CARDINAL
ejpam-841	757	2	res(q	ORG
ejpam-841	757	3	0	CARDINAL
ejpam-841	760	1	4	CARDINAL
ejpam-841	760	2	st2(s− t	GPE
ejpam-841	760	3	t4	PERSON
ejpam-841	761	1	24	CARDINAL
ejpam-841	761	2	2	CARDINAL
ejpam-841	762	1	−2s+ t)y	ORG
ejpam-841	763	1	+ sw	GPE
ejpam-841	763	2	−t2 − st)x	ORG
ejpam-841	765	1	3yz	DATE
ejpam-841	765	2	2xw−	CARDINAL
ejpam-841	767	1	2xw2+	DATE
ejpam-841	769	1	2xzw + 3yzw	MONEY
ejpam-841	773	1	3xzw	CARDINAL
ejpam-841	773	2	− xw2	PERSON
ejpam-841	774	1	2	CARDINAL
ejpam-841	775	1	2	CARDINAL
ejpam-841	776	1	j. hoffman	PERSON
ejpam-841	776	2	h. wang	PERSON
ejpam-841	776	3	x. jia	PERSON
ejpam-841	776	4	r. goldman	PERSON
ejpam-841	777	1	j. pure	PERSON
ejpam-841	777	2	3	CARDINAL
ejpam-841	777	3	2010	DATE
ejpam-841	777	4	602	CARDINAL
ejpam-841	779	1	8	CARDINAL
ejpam-841	781	1	1.	CARDINAL
ejpam-841	781	2	t(p	ORG
ejpam-841	782	1	w	GPE
ejpam-841	782	2	10	CARDINAL
ejpam-841	782	3	11	CARDINAL
ejpam-841	783	1	2	CARDINAL
ejpam-841	783	2	t(p	ORG
ejpam-841	783	3	12	CARDINAL
ejpam-841	785	1	1 and 3	DATE
ejpam-841	786	1	first	ORDINAL
ejpam-841	786	2	t(p	ORG
ejpam-841	788	1	lemma 2	ORG
ejpam-841	789	1	a(x	PERSON
ejpam-841	792	1	q(s	GPE
ejpam-841	792	2	f(s	GPE
ejpam-841	792	3	f(s	GPE
ejpam-841	792	4	0	CARDINAL
ejpam-841	793	1	two	CARDINAL
ejpam-841	794	1	2	CARDINAL
ejpam-841	794	2	two	CARDINAL
ejpam-841	795	1	f(s	GPE
ejpam-841	795	2	f(s	GPE
ejpam-841	795	3	2	CARDINAL
ejpam-841	796	1	13	CARDINAL
ejpam-841	796	2	β(s	LOC
ejpam-841	797	1	two	CARDINAL
ejpam-841	797	2	f(s	GPE
ejpam-841	798	1	0	CARDINAL
ejpam-841	798	2	three	CARDINAL
ejpam-841	799	1	1	CARDINAL
ejpam-841	799	2	1,0	CARDINAL
ejpam-841	800	1	0	CARDINAL
ejpam-841	800	2	f(s	GPE
ejpam-841	801	1	1,0	CARDINAL
ejpam-841	801	2	11	CARDINAL
ejpam-841	802	1	det	DATE
ejpam-841	802	2		LAW
ejpam-841	803	1		PERSON
ejpam-841	804	1	j. hoffman	PERSON
ejpam-841	804	2	h. wang	PERSON
ejpam-841	804	3	x. jia	PERSON
ejpam-841	804	4	r. goldman	PERSON
ejpam-841	805	1	j. pure	PERSON
ejpam-841	805	2	3	CARDINAL
ejpam-841	805	3	2010	DATE
ejpam-841	805	4	602	CARDINAL
ejpam-841	809	1	′1	ORG
ejpam-841	810	1	1	CARDINAL
ejpam-841	810	2	2	CARDINAL
ejpam-841	810	3	1,0	CARDINAL
ejpam-841	810	4	0	CARDINAL
ejpam-841	810	5	6=	DATE
ejpam-841	810	6	0	CARDINAL
ejpam-841	810	7	β(1,−1	ORG
ejpam-841	811	1	13	CARDINAL
ejpam-841	811	2	1,−1,1,∗	ORG
ejpam-841	811	3	f(s2	CARDINAL
ejpam-841	811	4	1,1,1,∗	CARDINAL
ejpam-841	811	5	two	CARDINAL
ejpam-841	811	6	f(s	GPE
ejpam-841	812	1	+ y)t	DATE
ejpam-841	812	2	y)t	DATE
ejpam-841	812	3	r.	NORP
ejpam-841	812	4	a(x	PERSON
ejpam-841	812	5	w	ORG
ejpam-841	812	6	det	DATE
ejpam-841	812	7		ORG
ejpam-841	812	8		PERSON
ejpam-841	814	1	2(x	CARDINAL
ejpam-841	814	2	0	CARDINAL
ejpam-841	815	1	11	CARDINAL
ejpam-841	816	1	det	DATE
ejpam-841	816	2		PRODUCT
ejpam-841	818	1		PERSON
ejpam-841	820	1	2(x	CARDINAL
ejpam-841	821	1	a(x	PERSON
ejpam-841	824	1	′1	ORG
ejpam-841	825	1	1	CARDINAL
ejpam-841	825	2	3	CARDINAL
ejpam-841	825	3	1,0	CARDINAL
ejpam-841	825	4	1,1	CARDINAL
ejpam-841	825	5	0	CARDINAL
ejpam-841	825	6	0	CARDINAL
ejpam-841	825	7	β(1,−1	ORG
ejpam-841	826	1	0	CARDINAL
ejpam-841	827	1	13	CARDINAL
ejpam-841	827	2	0,0,1,∗	CARDINAL
ejpam-841	827	3	f(s2	CARDINAL
ejpam-841	828	1	1,−1,1,∗	ORG
ejpam-841	828	2	two	CARDINAL
ejpam-841	828	3	f(s	GPE
ejpam-841	829	1	+ y)t	DATE
ejpam-841	829	2	r.	NORP
ejpam-841	829	3	a(x	PERSON
ejpam-841	829	4	w	ORG
ejpam-841	829	5	det	DATE
ejpam-841	829	6		ORG
ejpam-841	829	7		PERSON
ejpam-841	831	1	0	CARDINAL
ejpam-841	832	1	11	CARDINAL
ejpam-841	833	1	det	DATE
ejpam-841	833	2		LAW
ejpam-841	833	3	0	CARDINAL
ejpam-841	836	1		PERSON
ejpam-841	840	1	′1	ORG
ejpam-841	841	1	1	CARDINAL
ejpam-841	841	2	630	CARDINAL
ejpam-841	841	3	3	CARDINAL
ejpam-841	845	1	2	CARDINAL
ejpam-841	845	2	x2r ′2	ORG
ejpam-841	846	1	2	CARDINAL
ejpam-841	846	2	xz+ r1 xw+ r0 yw	PERSON
ejpam-841	849	1	y x	PERSON
ejpam-841	849	2	t(p	ORG
ejpam-841	855	1	3	CARDINAL
ejpam-841	855	2	david cox	PERSON
ejpam-841	856	1	nsf	GPE
ejpam-841	856	2	ccr-020331	DATE
ejpam-841	856	3	the nsf of china	ORG
ejpam-841	856	4	one hundred	CARDINAL
ejpam-841	856	5	cas	ORG
ejpam-841	856	6	111	CARDINAL
ejpam-841	858	1	second	ORDINAL
ejpam-841	858	2	first	ORDINAL
ejpam-841	859	1	1	CARDINAL
ejpam-841	860	1	2	CARDINAL
ejpam-841	860	2	l. busé	PERSON
ejpam-841	860	3	j-p. jouanolou	PERSON
ejpam-841	860	4	j. algebra 265 (	PERSON
ejpam-841	860	5	2003	DATE
ejpam-841	860	6	312-357	QUANTITY
ejpam-841	861	1	3	CARDINAL
ejpam-841	861	2	m. chardin	PERSON
ejpam-841	861	3	j. symb	PERSON
ejpam-841	863	1	40 (2005	DATE
ejpam-841	863	2	1150-1168	CARDINAL
ejpam-841	864	1	4	CARDINAL
ejpam-841	864	2	algebraic plane curve	PERSON
ejpam-841	864	3	j. algebra	PERSON
ejpam-841	864	4	321	CARDINAL
ejpam-841	864	5	2009	DATE
ejpam-841	864	6	2317–2344	DATE
ejpam-841	865	1	5	CARDINAL
ejpam-841	865	2	l. busé	PERSON
ejpam-841	865	3	m. chardin	PERSON
ejpam-841	865	4	a. simis	PERSON
ejpam-841	866	1	6	CARDINAL
ejpam-841	866	2	a. conca	PERSON
ejpam-841	866	3	j. herzog	PERSON
ejpam-841	866	4	n. v. trung	PERSON
ejpam-841	866	5	g. valla	PERSON
ejpam-841	866	6	bigraded algebras	ORG
ejpam-841	866	7	amer	PERSON
ejpam-841	867	1	j. math	PERSON
ejpam-841	868	1	119	CARDINAL
ejpam-841	868	2	859–901	CARDINAL
ejpam-841	869	1	7	CARDINAL
ejpam-841	870	1	comput	PERSON
ejpam-841	871	1	sci	ORG
ejpam-841	872	1	392	CARDINAL
ejpam-841	872	2	2008	DATE
ejpam-841	873	1	631	CARDINAL
ejpam-841	874	1	8	CARDINAL
ejpam-841	874	2	j. w. hoffman	PERSON
ejpam-841	874	3	h. wang	PERSON
ejpam-841	874	4	j. pure	PERSON
ejpam-841	875	1	212	CARDINAL
ejpam-841	875	2	2008	DATE
ejpam-841	875	3	1787–1796	CARDINAL
ejpam-841	876	1	9	CARDINAL
ejpam-841	876	2	j. little	PERSON
ejpam-841	876	3	d. o’shea	PERSON
ejpam-841	876	4	algebraic geometry	PERSON
ejpam-841	876	5	185	DATE
ejpam-841	876	6	new york	GPE
ejpam-841	876	7	1998	DATE
ejpam-841	877	1	10	CARDINAL
ejpam-841	877	2	t. sederberg	PERSON
ejpam-841	877	3	f. chen	PERSON
ejpam-841	878	1	geom	CARDINAL
ejpam-841	879	1	15	CARDINAL
ejpam-841	879	2	1998	DATE
ejpam-841	879	3	803–827	CARDINAL
ejpam-841	880	1	11	CARDINAL
ejpam-841	880	2	a. geramita	PERSON
ejpam-841	880	3	a. gimilgliano	PERSON
ejpam-841	880	4	169	CARDINAL
ejpam-841	880	5	1994	DATE
ejpam-841	880	6	791–804	DATE
ejpam-841	881	1	12	CARDINAL
ejpam-841	881	2	a. gimigliano	PERSON
ejpam-841	881	3	a. lorenzini	PERSON
ejpam-841	882	1	j. math	PERSON
ejpam-841	883	1	43	CARDINAL
ejpam-841	883	2	1993	DATE
ejpam-841	883	3	758–777	DATE
ejpam-841	884	1	13	CARDINAL
ejpam-841	884	2	j. harris	PERSON
ejpam-841	884	3	de l’universite de montreal	ORG
ejpam-841	884	4	1982	DATE
ejpam-841	885	1	14	CARDINAL
ejpam-841	885	2	r. hartshorne	PERSON
ejpam-841	885	3	algebraic geometry	PERSON
ejpam-841	885	4	52	DATE
ejpam-841	885	5	new york	GPE
ejpam-841	885	6	1997	DATE
ejpam-841	886	1	15	CARDINAL
ejpam-841	886	2	j. w. hoffman	PERSON
ejpam-841	886	3	h. wang	PERSON
ejpam-841	887	1	16	CARDINAL
ejpam-841	887	2	j. hong	PERSON
ejpam-841	887	3	a. simis	PERSON
ejpam-841	887	4	w. vasconcelos	PERSON
ejpam-841	887	5	two	CARDINAL
ejpam-841	887	6	j. symb	PERSON
ejpam-841	889	1	43 (2008	DATE
ejpam-841	889	2	275–292	CARDINAL
ejpam-841	890	1	17	CARDINAL
ejpam-841	890	2	x. jia	PERSON
ejpam-841	890	3	h. wang	PERSON
ejpam-841	890	4	r. goldman	PERSON
ejpam-841	890	5	j. symb	PERSON
ejpam-841	892	1	45	CARDINAL
ejpam-841	892	2	2010	DATE
ejpam-841	892	3	414	CARDINAL
ejpam-841	893	1	18	CARDINAL
ejpam-841	893	2	a. r. kustin	PERSON
ejpam-841	893	3	c. polini	PERSON
ejpam-841	893	4	b. ulrich	PERSON
ejpam-841	893	5	arxiv:0812.4963v1	PRODUCT
ejpam-841	894	1	19	CARDINAL
ejpam-841	894	2	s. morey	PERSON
ejpam-841	894	3	b. ulrich	PERSON
ejpam-841	894	4	rees algebras	PERSON
ejpam-841	895	1	amer	PERSON
ejpam-841	897	1	124	CARDINAL
ejpam-841	897	2	3653–3661	DATE
ejpam-841	898	1	20	CARDINAL
ejpam-841	898	2	t. sederberg	PERSON
ejpam-841	898	3	f. chen	PERSON
ejpam-841	898	4	siggraph	ORG
ejpam-841	898	5	1995	DATE
ejpam-841	898	6	301–308	CARDINAL
ejpam-841	899	1	21	CARDINAL
ejpam-841	899	2	t. sederberg	GPE
ejpam-841	899	3	r. goldman	PERSON
ejpam-841	899	4	h. du	PERSON
ejpam-841	899	5	j. symb	PERSON
ejpam-841	901	1	23 (1997	DATE
ejpam-841	901	2	153–175	CARDINAL
ejpam-841	902	1	22	CARDINAL
ejpam-841	902	2	t. sederberg	PERSON
ejpam-841	902	3	t. saito	PERSON
ejpam-841	902	4	d. qi	PERSON
ejpam-841	902	5	k. klimaszewski	PERSON
ejpam-841	903	1	geom	CARDINAL
ejpam-841	904	1	11	CARDINAL
ejpam-841	904	2	1994	DATE
ejpam-841	904	3	687–706	CARDINAL
ejpam-841	905	1	23	CARDINAL
ejpam-841	905	2	a. simis	PERSON
ejpam-841	905	3	n. trung	PERSON
ejpam-841	905	4	g. valla	PERSON
ejpam-841	905	5	j. pure	PERSON
ejpam-841	906	1	125	CARDINAL
ejpam-841	906	2	1998	DATE
ejpam-841	906	3	305–328	CARDINAL
ejpam-841	907	1	24	CARDINAL
ejpam-841	907	2	r. goldman	PERSON
ejpam-841	907	3	one	CARDINAL
ejpam-841	908	1	geom	CARDINAL
ejpam-841	909	1	26	CARDINAL
ejpam-841	909	2	2009	DATE
ejpam-841	909	3	217–230	CARDINAL
ejpam-841	910	1	632	CARDINAL
ejpam-841	911	1	25	CARDINAL
ejpam-841	911	2	w. v. vasconcelos	PERSON
ejpam-841	913	1	london	GPE
ejpam-841	913	2	195	CARDINAL
ejpam-841	913	3	cambridge university press	ORG
ejpam-841	913	4	cambridge	GPE
ejpam-841	913	5	1994	DATE
ejpam-841	914	1	26	CARDINAL
ejpam-841	914	2	h. wang	PERSON
ejpam-841	914	3	x. jia	PERSON
ejpam-841	914	4	r. goldman	PERSON
ejpam-841	914	5	geom	CARDINAL
ejpam-841	915	1	26	CARDINAL
ejpam-841	915	2	2009	DATE
ejpam-841	915	3	300–316	CARDINAL
ejpam-841	916	1	27	CARDINAL
ejpam-841	916	2	mathematica	PERSON
ejpam-841	916	3	33	DATE
ejpam-841	916	4	1982	DATE
ejpam-841	916	5	89–101	DATE