id	sid	eid	entity	type
ejpam-87	1	1	european journal	ORG
ejpam-87	2	1	1	CARDINAL
ejpam-87	2	2	1, 2008	DATE
ejpam-87	2	3	60-81	CARDINAL
ejpam-87	2	4	1307-5543	CARDINAL
ejpam-87	2	5	subasi rutcor	PERSON
ejpam-87	2	6	rutgers center	PERSON
ejpam-87	2	7	640	CARDINAL
ejpam-87	2	8	piscataway	GPE
ejpam-87	2	9	nj 08854-8003	ORG
ejpam-87	2	10	usa.	GPE
ejpam-87	3	1	linear programming	ORG
ejpam-87	6	1	90c05, 90b25	DATE
ejpam-87	6	2	60e15	DATE
ejpam-87	7	1	linear programming	ORG
ejpam-87	8	1	1	CARDINAL
ejpam-87	9	1	1≤i1<	CARDINAL
ejpam-87	9	2	ai1	NORP
ejpam-87	9	3	k = 1	PERSON
ejpam-87	10	1	1	CARDINAL
ejpam-87	12	1	11	CARDINAL
ejpam-87	12	2	ν	NORP
ejpam-87	12	3	1.1	CARDINAL
ejpam-87	12	4	ν	NORP
ejpam-87	13	1	1.1	CARDINAL
ejpam-87	17	1	60	CARDINAL
ejpam-87	17	2	2007	DATE
ejpam-87	18	1	m. subasi	PERSON
ejpam-87	18	2	e. subasi	PERSON
ejpam-87	19	1	j. pure	PERSON
ejpam-87	19	2	1 (2008	DATE
ejpam-87	19	3	60-81	CARDINAL
ejpam-87	19	4	61	DATE
ejpam-87	21	1	−1)n−1sn	PRODUCT
ejpam-87	25	1	sk1	ORG
ejpam-87	25	2	some 1 ≤ k1	QUANTITY
ejpam-87	25	3	0 ≤ m ≤	MONEY
ejpam-87	27	1	0	CARDINAL
ejpam-87	30	1	n∑ i=0	ORG
ejpam-87	31	1	1.2	CARDINAL
ejpam-87	32	1	k0	ORG
ejpam-87	32	2	0	CARDINAL
ejpam-87	33	1	1.2	CARDINAL
ejpam-87	34	1	1.2	CARDINAL
ejpam-87	35	1	one	CARDINAL
ejpam-87	36	1	max	PERSON
ejpam-87	36	2	1.2	CARDINAL
ejpam-87	37	1	sk1	DATE
ejpam-87	41	1	dawson	GPE
ejpam-87	42	1	4	CARDINAL
ejpam-87	43	1	1	CARDINAL
ejpam-87	43	2	2	CARDINAL
ejpam-87	43	3	3	CARDINAL
ejpam-87	44	1	6	CARDINAL
ejpam-87	47	1	1	CARDINAL
ejpam-87	48	1	m. subasi	PERSON
ejpam-87	48	2	e. subasi	PERSON
ejpam-87	49	1	j. pure	PERSON
ejpam-87	49	2	1 (2008	DATE
ejpam-87	49	3	60-81	CARDINAL
ejpam-87	49	4	62	DATE
ejpam-87	49	5	gao	PERSON
ejpam-87	50	1	13	CARDINAL
ejpam-87	50	2	3	CARDINAL
ejpam-87	51	1	2	CARDINAL
ejpam-87	52	1	e. subasi	PERSON
ejpam-87	52	2	m. subasi	PERSON
ejpam-87	52	3	a. prékopa	PERSON
ejpam-87	53	1	14	CARDINAL
ejpam-87	53	2	first	ORDINAL
ejpam-87	54	1	1.2	CARDINAL
ejpam-87	54	2	2	CARDINAL
ejpam-87	54	3	1	CARDINAL
ejpam-87	54	4	2	CARDINAL
ejpam-87	54	5	linear programming	ORG
ejpam-87	55	1	e. subasi	PERSON
ejpam-87	55	2	m. subasi	PERSON
ejpam-87	55	3	a. prékopa	PERSON
ejpam-87	56	1	1.2	CARDINAL
ejpam-87	58	1	first	ORDINAL
ejpam-87	58	2	1.2	CARDINAL
ejpam-87	59	1	two	CARDINAL
ejpam-87	62	1	1.3	CARDINAL
ejpam-87	63	1	+ vm−1 pm	TIME
ejpam-87	66	1	1.4	CARDINAL
ejpam-87	66	2	1.3	CARDINAL
ejpam-87	66	3	0	CARDINAL
ejpam-87	66	4	1.4	CARDINAL
ejpam-87	67	1	1.3	CARDINAL
ejpam-87	67	2	1.2	CARDINAL
ejpam-87	68	1	m+1	TIME
ejpam-87	70	1	m+1	TIME
ejpam-87	70	2	1 (	CARDINAL
ejpam-87	70	3	1.5	CARDINAL
ejpam-87	73	1	kj	PERSON
ejpam-87	75	1	+ 1	DATE
ejpam-87	77	1	j = 1	PERSON
ejpam-87	80	1	m. subasi	PERSON
ejpam-87	80	2	e. subasi	PERSON
ejpam-87	81	1	j. pure	PERSON
ejpam-87	81	2	1 (2008	DATE
ejpam-87	81	3	60-81	CARDINAL
ejpam-87	81	4	63	DATE
ejpam-87	81	5	1.4	CARDINAL
ejpam-87	84	1	i−m + 1)vi	DATE
ejpam-87	85	1	i−m + 1)vi	DATE
ejpam-87	85	2	1	CARDINAL
ejpam-87	85	3	1.6	CARDINAL
ejpam-87	90	1	kj	PERSON
ejpam-87	92	1	j = 1	PERSON
ejpam-87	95	1	0	CARDINAL
ejpam-87	95	2	1.6a	CARDINAL
ejpam-87	96	1	1.5	CARDINAL
ejpam-87	96	2	1.6	CARDINAL
ejpam-87	96	3	1.6a	CARDINAL
ejpam-87	99	1	section 2	LAW
ejpam-87	100	1	section 3	LAW
ejpam-87	100	2	2	CARDINAL
ejpam-87	100	3	1 ≤ k1	QUANTITY
ejpam-87	101	1	section 4	LAW
ejpam-87	101	2	1	CARDINAL
ejpam-87	101	3	2	CARDINAL
ejpam-87	101	4	3	CARDINAL
ejpam-87	102	1	section 5	LAW
ejpam-87	102	2	1	CARDINAL
ejpam-87	102	3	2	CARDINAL
ejpam-87	102	4	3	CARDINAL
ejpam-87	102	5	4	CARDINAL
ejpam-87	103	1	section 6	LAW
ejpam-87	104	1	section 7	LAW
ejpam-87	105	1	section 8	LAW
ejpam-87	106	1	m. subasi	PERSON
ejpam-87	106	2	e. subasi	PERSON
ejpam-87	107	1	j. pure	PERSON
ejpam-87	107	2	1 (2008	DATE
ejpam-87	107	3	60-81	CARDINAL
ejpam-87	107	4	64 2	DATE
ejpam-87	107	5	1 1 1 1 ·	TIME
ejpam-87	108	1	1 1 1 2 3	QUANTITY
ejpam-87	108	2	1	CARDINAL
ejpam-87	108	3	1 2	DATE
ejpam-87	109	1	1	CARDINAL
ejpam-87	109	2		PERSON
ejpam-87	110	1	zeros	CARDINAL
ejpam-87	112	1	2.1	CARDINAL
ejpam-87	113	1	5	CARDINAL
ejpam-87	114	1	1.5	CARDINAL
ejpam-87	114	2	1.6	CARDINAL
ejpam-87	115	1	12	CARDINAL
ejpam-87	116	1	2.2	CARDINAL
ejpam-87	117	1	1.5	CARDINAL
ejpam-87	117	2	1.6	CARDINAL
ejpam-87	117	3	one	CARDINAL
ejpam-87	117	4	+ 1	DATE
ejpam-87	117	5	+ 1 odd min	DATE
ejpam-87	117	6	0	CARDINAL
ejpam-87	117	7	+ 1	DATE
ejpam-87	117	8	0	CARDINAL
ejpam-87	117	9	+ 1	DATE
ejpam-87	117	10	max	PERSON
ejpam-87	117	11	0	CARDINAL
ejpam-87	117	12	1	DATE
ejpam-87	117	13	+ 1	DATE
ejpam-87	117	14	0	CARDINAL
ejpam-87	117	15	1	DATE
ejpam-87	117	16	+ 1	DATE
ejpam-87	117	17	ib ⊂	ORG
ejpam-87	117	18	1	CARDINAL
ejpam-87	117	19	ib ⊂	ORG
ejpam-87	117	20	1	CARDINAL
ejpam-87	117	21	1	CARDINAL
ejpam-87	119	1	1.5	CARDINAL
ejpam-87	120	1	1.6	CARDINAL
ejpam-87	121	1	kj = j	ORG
ejpam-87	121	2	1	CARDINAL
ejpam-87	122	1	1.5	CARDINAL
ejpam-87	122	2	m. subasi	PERSON
ejpam-87	122	3	e. subasi	PERSON
ejpam-87	123	1	j. pure	PERSON
ejpam-87	123	2	1 (2008	DATE
ejpam-87	123	3	60-81	CARDINAL
ejpam-87	123	4	65	DATE
ejpam-87	124	1	1.5	CARDINAL
ejpam-87	124	2	nonbasic	ORG
ejpam-87	126	1	at least one	CARDINAL
ejpam-87	126	2	nonbasic	ORG
ejpam-87	126	3	0	CARDINAL
ejpam-87	127	1	1 ct	QUANTITY
ejpam-87	127	2	0	CARDINAL
ejpam-87	128	1	first	ORDINAL
ejpam-87	128	2	1	CARDINAL
ejpam-87	130	1	|b|	FAC
ejpam-87	132	1	0	CARDINAL
ejpam-87	134	1	nonbasic	ORG
ejpam-87	136	1	6=	CARDINAL
ejpam-87	136	2	0	CARDINAL
ejpam-87	138	1	the first row	DATE
ejpam-87	138	2	1	CARDINAL
ejpam-87	140	1	zero	CARDINAL
ejpam-87	140	2	m. subasi	PERSON
ejpam-87	140	3	e. subasi	PERSON
ejpam-87	141	1	j. pure	PERSON
ejpam-87	141	2	1 (2008	DATE
ejpam-87	141	3	60-81	CARDINAL
ejpam-87	141	4	66	CARDINAL
ejpam-87	141	5	1	CARDINAL
ejpam-87	142	1	at least one	CARDINAL
ejpam-87	143	1	0	CARDINAL
ejpam-87	144	1	second	ORDINAL
ejpam-87	145	1	first	ORDINAL
ejpam-87	145	2	first	ORDINAL
ejpam-87	146	1	first	ORDINAL
ejpam-87	146	2	the second row	DATE
ejpam-87	146	3	first	ORDINAL
ejpam-87	146	4	second	ORDINAL
ejpam-87	146	5	0	CARDINAL
ejpam-87	147	1	the second row	DATE
ejpam-87	147	2	+ 1	DATE
ejpam-87	147	3	0	CARDINAL
ejpam-87	147	4	1 ≤	CARDINAL
ejpam-87	148	1	0	DATE
ejpam-87	151	1	2	CARDINAL
ejpam-87	151	2	first	ORDINAL
ejpam-87	154	1	0	CARDINAL
ejpam-87	154	2	6=	DATE
ejpam-87	155	1	0	CARDINAL
ejpam-87	157	1	0	CARDINAL
ejpam-87	157	2	∣∣∣	CARDINAL
ejpam-87	157	3	+ 1	DATE
ejpam-87	157	4	+ 1	DATE
ejpam-87	159	1	nonbasic	ORG
ejpam-87	159	2	nonbasic	ORG
ejpam-87	159	3	+ 1	DATE
ejpam-87	160	1	+ 1	DATE
ejpam-87	160	2	+ 1	DATE
ejpam-87	161	1	+ 1	DATE
ejpam-87	162	1	nonbasic	ORG
ejpam-87	162	2	1	CARDINAL
ejpam-87	162	3	+ 1	DATE
ejpam-87	162	4	+ 1	DATE
ejpam-87	162	5	1	CARDINAL
ejpam-87	162	6	+ 1	DATE
ejpam-87	163	1	+ 1	DATE
ejpam-87	165	1	kj = j	PERSON
ejpam-87	165	2	1	CARDINAL
ejpam-87	166	1	6=	CARDINAL
ejpam-87	166	2	1	CARDINAL
ejpam-87	167	1	2	CARDINAL
ejpam-87	168	1	3	CARDINAL
ejpam-87	168	2	sk1	GPE
ejpam-87	168	3	2	CARDINAL
ejpam-87	168	4	sk1	GPE
ejpam-87	168	5	sk2	LANGUAGE
ejpam-87	168	6	1 ≤ k1	QUANTITY
ejpam-87	169	1	c(n	ORG
ejpam-87	169	2	+ 1	DATE
ejpam-87	172	1	m. subasi	PERSON
ejpam-87	172	2	e. subasi	PERSON
ejpam-87	173	1	j. pure	PERSON
ejpam-87	173	2	1 (2008	DATE
ejpam-87	173	3	60-81	CARDINAL
ejpam-87	173	4	67	CARDINAL
ejpam-87	173	5	j∑	PERSON
ejpam-87	175	1	j + 1	LAW
ejpam-87	178	1	3.1	CARDINAL
ejpam-87	178	2	3.1	CARDINAL
ejpam-87	178	3	1.5	CARDINAL
ejpam-87	180	1	m+1	TIME
ejpam-87	182	1	m+1	TIME
ejpam-87	182	2	3.2	CARDINAL
ejpam-87	183	1	+ 1 k1 + 1	FAC
ejpam-87	188	1	+ 1 k2 + 1	DATE
ejpam-87	191	1	vi = sk2 vi ≥ 0	PERSON
ejpam-87	192	1	2	CARDINAL
ejpam-87	192	2	0	CARDINAL
ejpam-87	192	3	1 ≤	QUANTITY
ejpam-87	193	1	1	CARDINAL
ejpam-87	193	2	0	CARDINAL
ejpam-87	193	3	1	DATE
ejpam-87	193	4	bmax ⊂	PERSON
ejpam-87	193	5	1	CARDINAL
ejpam-87	194	1	prékopa	GPE
ejpam-87	194	2	m. subasi	PERSON
ejpam-87	194	3	e. subasi	PERSON
ejpam-87	195	1	j. pure	PERSON
ejpam-87	195	2	1 (2008	DATE
ejpam-87	195	3	60-81	CARDINAL
ejpam-87	195	4	68	CARDINAL
ejpam-87	195	5	j −	PERSON
ejpam-87	196	1	1	CARDINAL
ejpam-87	199	1	j + 1	LAW
ejpam-87	202	1	j + 1	LAW
ejpam-87	205	1	j + 1	LAW
ejpam-87	210	1	j + 1	LAW
ejpam-87	213	1	j + 1	LAW
ejpam-87	215	1	j + 1	LAW
ejpam-87	218	1	j + 1	LAW
ejpam-87	221	1	j + 1	LAW
ejpam-87	223	1	j −	PERSON
ejpam-87	226	1	j + 1	LAW
ejpam-87	227	1	j + 1	LAW
ejpam-87	230	1	j + 1	LAW
ejpam-87	232	1	j + 1	LAW
ejpam-87	236	1	3.3	CARDINAL
ejpam-87	236	2	3.2	CARDINAL
ejpam-87	239	1	max	PERSON
ejpam-87	240	1	three	CARDINAL
ejpam-87	241	1	1	CARDINAL
ejpam-87	242	1	1 ≤	QUANTITY
ejpam-87	242	2	1	CARDINAL
ejpam-87	243	1	sk1γ	ORG
ejpam-87	243	2	− sk2γ k1 i+1,m	PERSON
ejpam-87	243	3	0	CARDINAL
ejpam-87	243	4	− sk2γ k1	PERSON
ejpam-87	245	1	1	CARDINAL
ejpam-87	246	1	i+1,k	ORG
ejpam-87	247	1	−	PERSON
ejpam-87	249	1	3.4	CARDINAL
ejpam-87	249	2	γ	GPE
ejpam-87	250	1	3.3	CARDINAL
ejpam-87	251	1	2	CARDINAL
ejpam-87	253	1	+ 1	DATE
ejpam-87	254	1	sk1	PERSON
ejpam-87	255	1	− k2 + 1	PERSON
ejpam-87	255	2	+ 1 k1	FAC
ejpam-87	255	3	prékopa	GPE
ejpam-87	255	4	m. subasi	PERSON
ejpam-87	255	5	e. subasi	PERSON
ejpam-87	256	1	j. pure	PERSON
ejpam-87	256	2	1 (2008	DATE
ejpam-87	256	3	60-81	CARDINAL
ejpam-87	256	4	69	CARDINAL
ejpam-87	256	5	sk1β	ORG
ejpam-87	257	1	0	CARDINAL
ejpam-87	257	2	sk1β	ORG
ejpam-87	257	3	1,m−1	CARDINAL
ejpam-87	257	4	1,m−1 +	DATE
ejpam-87	257	5	1,m−1	CARDINAL
ejpam-87	257	6	0	CARDINAL
ejpam-87	258	1	1	CARDINAL
ejpam-87	258	2	− k2−k1 m−k2+1	PERSON
ejpam-87	258	3	+ 1 k1	FAC
ejpam-87	258	4	1,m−1	CARDINAL
ejpam-87	259	1	+ 1 k1	FAC
ejpam-87	259	2	3.5	CARDINAL
ejpam-87	260	1	3.3	CARDINAL
ejpam-87	261	1	3	CARDINAL
ejpam-87	262	1	+ 1 ≤	MONEY
ejpam-87	262	2	1	CARDINAL
ejpam-87	262	3	bmin	PERSON
ejpam-87	264	1	sk1α	NORP
ejpam-87	264	2	0	CARDINAL
ejpam-87	264	3	sk1γ k2 m+1,i	PERSON
ejpam-87	264	4	− sk2γ k1 m+1,i	PERSON
ejpam-87	264	5	0	CARDINAL
ejpam-87	265	1	1	CARDINAL
ejpam-87	265	2	+ 1 k1 + 1	FAC
ejpam-87	267	1	+ 1	DATE
ejpam-87	268	1	3.6	CARDINAL
ejpam-87	269	1	γ	GPE
ejpam-87	270	1	3.3	CARDINAL
ejpam-87	271	1	bmax ⊂	PERSON
ejpam-87	271	2	1	CARDINAL
ejpam-87	271	3	3.2	CARDINAL
ejpam-87	271	4	1	CARDINAL
ejpam-87	272	1	0	CARDINAL
ejpam-87	272	2	1	DATE
ejpam-87	273	1	sk1δ	PERSON
ejpam-87	273	2	sk1γ	ORG
ejpam-87	273	3	− sk2γ k1	PERSON
ejpam-87	273	4	sk1	CARDINAL
ejpam-87	273	5	+ 1 k2 + 1	DATE
ejpam-87	273	6	+ 1 k1 + 1	FAC
ejpam-87	274	1	3.7	CARDINAL
ejpam-87	274	2	γ	GPE
ejpam-87	274	3	3.3	CARDINAL
ejpam-87	275	1	1.6	CARDINAL
ejpam-87	275	2	1.5	CARDINAL
ejpam-87	275	3	1	CARDINAL
ejpam-87	275	4	m. subasi	PERSON
ejpam-87	275	5	e. subasi	PERSON
ejpam-87	276	1	j. pure	PERSON
ejpam-87	276	2	1 (2008	DATE
ejpam-87	276	3	60-81	CARDINAL
ejpam-87	276	4	70	DATE
ejpam-87	276	5	section 3. 4	LAW
ejpam-87	276	6	1.5	CARDINAL
ejpam-87	276	7	1.6	CARDINAL
ejpam-87	277	1	+ 1	DATE
ejpam-87	277	2	2	CARDINAL
ejpam-87	277	3	1.5	CARDINAL
ejpam-87	277	4	0	CARDINAL
ejpam-87	277	5	+ 1	DATE
ejpam-87	277	6	1	CARDINAL
ejpam-87	277	7	2	CARDINAL
ejpam-87	278	1	0	CARDINAL
ejpam-87	278	2	1	DATE
ejpam-87	278	3	2	CARDINAL
ejpam-87	278	4	1	CARDINAL
ejpam-87	278	5	bmax	PERSON
ejpam-87	278	6	1	CARDINAL
ejpam-87	280	1	1	CARDINAL
ejpam-87	281	1	1 ≤	QUANTITY
ejpam-87	281	2	1	CARDINAL
ejpam-87	281	3	bmin	PERSON
ejpam-87	283	1	1)(i +	DATE
ejpam-87	283	2	1)]s1	CARDINAL
ejpam-87	284	1	2[m(i− 1	CARDINAL
ejpam-87	284	2	1)(i +	DATE
ejpam-87	284	3	2)]s1	CARDINAL
ejpam-87	285	1	4)s2 + 24s3 ≤ mn(i− 1	QUANTITY
ejpam-87	285	2	2(i−	CARDINAL
ejpam-87	285	3	2)s1	CARDINAL
ejpam-87	286	1	6(2i	CARDINAL
ejpam-87	287	1	2[i(n	CARDINAL
ejpam-87	288	1	1)(i +	DATE
ejpam-87	288	2	1)]s1	CARDINAL
ejpam-87	289	1	3)s2 + 24s3 ≤ i[m(2n +	QUANTITY
ejpam-87	291	1	2[i(n + 2	MONEY
ejpam-87	292	1	1)(i +	DATE
ejpam-87	292	2	1)]s1	CARDINAL
ejpam-87	296	1	4.1	CARDINAL
ejpam-87	296	2	2	CARDINAL
ejpam-87	298	1	+ 1	DATE
ejpam-87	298	2	1)s1	CARDINAL
ejpam-87	298	3	2)s2 + 24s3	DATE
ejpam-87	300	1	6(n	CARDINAL
ejpam-87	301	1	4)s2 + 24s3 ≤	QUANTITY
ejpam-87	302	1	1)mn	CARDINAL
ejpam-87	303	1	6m(m	CARDINAL
ejpam-87	304	1	1)s1	CARDINAL
ejpam-87	305	1	1)m(m + 1	DATE
ejpam-87	305	2	m. subasi	PERSON
ejpam-87	305	3	e. subasi	PERSON
ejpam-87	306	1	j. pure	PERSON
ejpam-87	306	2	1 (2008	DATE
ejpam-87	306	3	60-81	CARDINAL
ejpam-87	306	4	71 6m(n	DATE
ejpam-87	307	1	m)s1 −	ORG
ejpam-87	308	1	6(n	CARDINAL
ejpam-87	308	2	2)s2 + 24s3 ≤	QUANTITY
ejpam-87	308	3	+ 2	DATE
ejpam-87	309	1	6m(n +	CARDINAL
ejpam-87	310	1	6(n	CARDINAL
ejpam-87	311	1	2)s2 + 24s3 m(m	QUANTITY
ejpam-87	312	1	1	CARDINAL
ejpam-87	313	1	4.2	CARDINAL
ejpam-87	313	2	3	CARDINAL
ejpam-87	315	1	bmin	PERSON
ejpam-87	316	1	1)]s1	CARDINAL
ejpam-87	317	1	2)s2 + 24s3	DATE
ejpam-87	317	2	+ 1	DATE
ejpam-87	318	1	1)(i +	DATE
ejpam-87	318	2	1)]s1	CARDINAL
ejpam-87	319	1	3)s2 + 24s3 ≤ mni	QUANTITY
ejpam-87	319	2	2i(i + 2	DATE
ejpam-87	319	3	1)s1	CARDINAL
ejpam-87	320	1	6(2i	CARDINAL
ejpam-87	321	1	2)s2 + 24s3	DATE
ejpam-87	321	2	i(m	ORG
ejpam-87	321	3	+ 1)m	DATE
ejpam-87	321	4	2[i(n	CARDINAL
ejpam-87	322	1	+ 1)]s1	DATE
ejpam-87	323	1	+ 2	DATE
ejpam-87	324	1	2[i(n + 2	MONEY
ejpam-87	325	1	+ 1)]s1	DATE
ejpam-87	329	1	4.3	CARDINAL
ejpam-87	329	2	1.5	CARDINAL
ejpam-87	330	1	bmax ⊂	PERSON
ejpam-87	330	2	1	CARDINAL
ejpam-87	330	3	1	CARDINAL
ejpam-87	331	1	three	CARDINAL
ejpam-87	331	2	i.	PERSON
ejpam-87	331	3	1	CARDINAL
ejpam-87	332	1	2 ≤	QUANTITY
ejpam-87	333	1	1	CARDINAL
ejpam-87	334	1	0	CARDINAL
ejpam-87	334	2	1	DATE
ejpam-87	334	3	2(i− 1)(i	CARDINAL
ejpam-87	334	4	2)s1	CARDINAL
ejpam-87	335	1	6(2i	CARDINAL
ejpam-87	336	1	2(i− 1)(m	DATE
ejpam-87	336	2	1)s1	CARDINAL
ejpam-87	337	1	6(i	CARDINAL
ejpam-87	338	1	2(i− 2)(m	CARDINAL
ejpam-87	338	2	1)s1	CARDINAL
ejpam-87	338	3	6(i	CARDINAL
ejpam-87	339	1	0	CARDINAL
ejpam-87	339	2	2[i(i	CARDINAL
ejpam-87	340	1	1)]s1	CARDINAL
ejpam-87	340	2	6(2i	CARDINAL
ejpam-87	341	1	3)s2 + 24s3 ≤	QUANTITY
ejpam-87	345	1	1)]s1	CARDINAL
ejpam-87	345	2	6(2i	CARDINAL
ejpam-87	346	1	+ 1)(m + 1	DATE
ejpam-87	347	1	4.4	CARDINAL
ejpam-87	347	2	m. subasi	PERSON
ejpam-87	347	3	e. subasi	PERSON
ejpam-87	348	1	j. pure	PERSON
ejpam-87	348	2	1 (2008	DATE
ejpam-87	348	3	60-81	CARDINAL
ejpam-87	348	4	72	DATE
ejpam-87	348	5	2	CARDINAL
ejpam-87	350	1	0	CARDINAL
ejpam-87	350	2	1	DATE
ejpam-87	350	3	+ 1	DATE
ejpam-87	350	4	6m(m	CARDINAL
ejpam-87	350	5	1)s1	CARDINAL
ejpam-87	351	1	18(m	ORDINAL
ejpam-87	352	1	1)m(m + 1	DATE
ejpam-87	353	1	1)s1	CARDINAL
ejpam-87	354	1	2)s1	CARDINAL
ejpam-87	354	2	0	CARDINAL
ejpam-87	354	3	6m2s1	CARDINAL
ejpam-87	354	4	6(3	CARDINAL
ejpam-87	354	5	2)s2 + 24s3 ≤ m(m	QUANTITY
ejpam-87	354	6	1)(m + 1	DATE
ejpam-87	355	1	6(3	CARDINAL
ejpam-87	355	2	2)s2 + 24s3	QUANTITY
ejpam-87	357	1	4.5	CARDINAL
ejpam-87	357	2	3	CARDINAL
ejpam-87	358	1	+ 1 ≤	MONEY
ejpam-87	358	2	1	CARDINAL
ejpam-87	359	1	2i(i +	DATE
ejpam-87	360	1	1)s1	CARDINAL
ejpam-87	361	1	6(2i	CARDINAL
ejpam-87	362	1	2)s2 + 24s3	DATE
ejpam-87	362	2	+ 1)m	DATE
ejpam-87	362	3	2i(m	CARDINAL
ejpam-87	363	1	1)s1	CARDINAL
ejpam-87	363	2	6(i	CARDINAL
ejpam-87	364	1	2)s2 + 24s3 ≤	QUANTITY
ejpam-87	364	2	2(i− 1)(m	DATE
ejpam-87	364	3	1)s1	CARDINAL
ejpam-87	364	4	6(i	CARDINAL
ejpam-87	365	1	0	CARDINAL
ejpam-87	365	2	2[i(i	CARDINAL
ejpam-87	366	1	6(2i	CARDINAL
ejpam-87	369	1	6(2i	CARDINAL
ejpam-87	370	1	4.6	CARDINAL
ejpam-87	370	2	−1	DATE
ejpam-87	370	3	section 4	LAW
ejpam-87	370	4	1.6	CARDINAL
ejpam-87	371	1	5	CARDINAL
ejpam-87	371	2	first	ORDINAL
ejpam-87	371	3	four binomial moments	QUANTITY
ejpam-87	372	1	+ 1	DATE
ejpam-87	372	2	2	CARDINAL
ejpam-87	372	3	1.5	CARDINAL
ejpam-87	372	4	1.6	CARDINAL
ejpam-87	372	5	0	CARDINAL
ejpam-87	372	6	1	DATE
ejpam-87	372	7	+ 1	DATE
ejpam-87	372	8	2	CARDINAL
ejpam-87	372	9	1	CARDINAL
ejpam-87	372	10	bmax	PERSON
ejpam-87	372	11	1	CARDINAL
ejpam-87	373	1	bmax ⊂	PERSON
ejpam-87	373	2	1	CARDINAL
ejpam-87	373	3	1	CARDINAL
ejpam-87	373	4	1	CARDINAL
ejpam-87	374	1	0	CARDINAL
ejpam-87	374	2	1	DATE
ejpam-87	374	3	+ 1	DATE
ejpam-87	375	1	m. subasi	PERSON
ejpam-87	375	2	e. subasi	PERSON
ejpam-87	376	1	j. pure	PERSON
ejpam-87	376	2	1 (2008	DATE
ejpam-87	376	3	60-81	CARDINAL
ejpam-87	376	4	73	CARDINAL
ejpam-87	376	5	1	CARDINAL
ejpam-87	377	1	2 ≤	QUANTITY
ejpam-87	378	1	1	CARDINAL
ejpam-87	379	1	2[i(i−	CARDINAL
ejpam-87	379	2	1)(n− 1	DATE
ejpam-87	379	3	+ 3	DATE
ejpam-87	379	4	+ 5i−	DATE
ejpam-87	379	5	2ni−	CARDINAL
ejpam-87	381	1	6)s3	CARDINAL
ejpam-87	383	1	2(i−	CARDINAL
ejpam-87	385	1	+ 2	DATE
ejpam-87	386	1	2n−	CARDINAL
ejpam-87	387	1	6[nm +	DATE
ejpam-87	389	1	120s4 ≥ (i− 1)inm	DATE
ejpam-87	389	2	1)s1	CARDINAL
ejpam-87	394	1	6)s3	CARDINAL
ejpam-87	394	2	120s4	CARDINAL
ejpam-87	394	3	2(m	CARDINAL
ejpam-87	398	1	4	CARDINAL
ejpam-87	400	1	120s4 ≥	DATE
ejpam-87	400	2	0	CARDINAL
ejpam-87	401	1	1)(i− 1)(i−	DATE
ejpam-87	401	2	2)s1	CARDINAL
ejpam-87	402	1	6(i−	CARDINAL
ejpam-87	403	1	120s4	CARDINAL
ejpam-87	404	1	1)(n− 1	DATE
ejpam-87	404	2	+ 1)i(i + 1)(n + 1	DATE
ejpam-87	405	1	6(3n	CARDINAL
ejpam-87	405	2	+ 5i−	DATE
ejpam-87	405	3	2ni− 7)s2	CARDINAL
ejpam-87	405	4	+ 1)i(i	DATE
ejpam-87	406	1	5.1	CARDINAL
ejpam-87	409	1	6)s3	CARDINAL
ejpam-87	409	2	+ 1)i(i	DATE
ejpam-87	411	1	2	CARDINAL
ejpam-87	413	1	0	CARDINAL
ejpam-87	413	2	1	DATE
ejpam-87	413	3	+ 1	DATE
ejpam-87	413	4	2m(3	CARDINAL
ejpam-87	415	1	3	CARDINAL
ejpam-87	415	2	2)(n−	CARDINAL
ejpam-87	415	3	2))s2 + 24(n + 3	DATE
ejpam-87	415	4	5)s3	CARDINAL
ejpam-87	416	1	2)s1	CARDINAL
ejpam-87	418	1	18(m	ORDINAL
ejpam-87	420	1	2)s2 + 24(n	DATE
ejpam-87	422	1	6)s3	CARDINAL
ejpam-87	423	1	2m(m −	GPE
ejpam-87	424	1	1)s1	CARDINAL
ejpam-87	424	2	6(m	CARDINAL
ejpam-87	424	3	1)(2n	CARDINAL
ejpam-87	424	4	4)s2 + 24(n	DATE
ejpam-87	425	1	5)s3	CARDINAL
ejpam-87	425	2	120s4	CARDINAL
ejpam-87	426	1	1)(m	CARDINAL
ejpam-87	426	2	1)s1− 6(m	TIME
ejpam-87	426	3	2)(2n	ORDINAL
ejpam-87	430	1	7)s3−	ORDINAL
ejpam-87	430	2	0	DATE
ejpam-87	431	1	1)(m	CARDINAL
ejpam-87	431	2	2)s1	CARDINAL
ejpam-87	432	1	18(m	ORDINAL
ejpam-87	433	1	1)(m	CARDINAL
ejpam-87	434	1	2)s2	CARDINAL
ejpam-87	434	2	120s4 ≤ 0	DATE
ejpam-87	435	1	prékopa	GPE
ejpam-87	435	2	m. subasi	PERSON
ejpam-87	435	3	e. subasi	PERSON
ejpam-87	436	1	j. pure	PERSON
ejpam-87	436	2	1 (2008	DATE
ejpam-87	436	3	60-81	CARDINAL
ejpam-87	436	4	74	CARDINAL
ejpam-87	442	1	3	CARDINAL
ejpam-87	442	2	2)(n−	CARDINAL
ejpam-87	443	1	5)s3	CARDINAL
ejpam-87	443	2	120s4	CARDINAL
ejpam-87	444	1	5.2	CARDINAL
ejpam-87	444	2	3	CARDINAL
ejpam-87	445	1	+ 1 ≤	MONEY
ejpam-87	446	1	2	CARDINAL
ejpam-87	446	2	bmax	PERSON
ejpam-87	446	3	2[(i+1)(ni+nm	CARDINAL
ejpam-87	447	1	− 4)s3 − 120s4 ≤	ORG
ejpam-87	448	1	2i[n(i +	DATE
ejpam-87	449	1	1)(n + i− 1)]s1	DATE
ejpam-87	449	2	6[(i−	CARDINAL
ejpam-87	449	3	+ i− 4	DATE
ejpam-87	450	1	5)s3	CARDINAL
ejpam-87	450	2	120s4	CARDINAL
ejpam-87	450	3	+ 1)m	DATE
ejpam-87	450	4	2i(m	CARDINAL
ejpam-87	450	5	1)s1	CARDINAL
ejpam-87	451	1	6[(n−	CARDINAL
ejpam-87	451	2	2)(i	CARDINAL
ejpam-87	451	3	2	CARDINAL
ejpam-87	452	1	1)]s2 +24(n	DATE
ejpam-87	453	1	5)s3	CARDINAL
ejpam-87	453	2	120s4	CARDINAL
ejpam-87	453	3	2(i− 1)(m	DATE
ejpam-87	453	4	1)s1	CARDINAL
ejpam-87	454	1	6[(n−	CARDINAL
ejpam-87	454	2	1	CARDINAL
ejpam-87	457	1	6)s3	CARDINAL
ejpam-87	457	2	120s4	CARDINAL
ejpam-87	457	3	0	CARDINAL
ejpam-87	457	4	2i(i− 1)(m	CARDINAL
ejpam-87	457	5	1)s1	CARDINAL
ejpam-87	458	1	6(i−	CARDINAL
ejpam-87	458	2	4)s2 + 24(2i	DATE
ejpam-87	459	1	5)s3	CARDINAL
ejpam-87	459	2	120s4	CARDINAL
ejpam-87	462	1	+ 1	DATE
ejpam-87	463	1	6[(i− 1)(i− 2	DATE
ejpam-87	465	1	1)(m −	DATE
ejpam-87	465	2	1)]s2	CARDINAL
ejpam-87	465	3	5.3	CARDINAL
ejpam-87	466	1	− 4)s3 − 120s4	ORG
ejpam-87	467	1	1.6	CARDINAL
ejpam-87	467	2	1.5	CARDINAL
ejpam-87	467	3	1	CARDINAL
ejpam-87	468	1	6	CARDINAL
ejpam-87	468	2	3	CARDINAL
ejpam-87	468	3	4	DATE
ejpam-87	468	4	5	CARDINAL
ejpam-87	468	5	1.5	CARDINAL
ejpam-87	468	6	1.6	CARDINAL
ejpam-87	468	7	2	CARDINAL
ejpam-87	468	8	3	DATE
ejpam-87	468	9	4	DATE
ejpam-87	469	1	linear programming	ORG
ejpam-87	470	1	prékopa	GPE
ejpam-87	470	2	m. subasi	PERSON
ejpam-87	470	3	e. subasi	PERSON
ejpam-87	471	1	j. pure	PERSON
ejpam-87	471	2	1 (2008	DATE
ejpam-87	471	3	60-81	CARDINAL
ejpam-87	471	4	75	CARDINAL
ejpam-87	472	1	linear programming	ORG
ejpam-87	475	1	1.5	CARDINAL
ejpam-87	475	2	1.6	CARDINAL
ejpam-87	475	3	0	CARDINAL
ejpam-87	476	1	2	CARDINAL
ejpam-87	477	1	1	CARDINAL
ejpam-87	478	1	b−1b	ORG
ejpam-87	478	2	0	DATE
ejpam-87	479	1	4	CARDINAL
ejpam-87	479	2	2	CARDINAL
ejpam-87	480	1	2	CARDINAL
ejpam-87	481	1	jth	PRODUCT
ejpam-87	481	2	aj	PERSON
ejpam-87	483	1	3	CARDINAL
ejpam-87	484	1	3	CARDINAL
ejpam-87	484	2	al	PERSON
ejpam-87	485	1	1	CARDINAL
ejpam-87	486	1	4	CARDINAL
ejpam-87	491	1	1.5	CARDINAL
ejpam-87	491	2	1.6	CARDINAL
ejpam-87	492	1	5	CARDINAL
ejpam-87	493	1	5	CARDINAL
ejpam-87	495	1	1.5	CARDINAL
ejpam-87	495	2	1.6	CARDINAL
ejpam-87	495	3	3	CARDINAL
ejpam-87	497	1	1.5	CARDINAL
ejpam-87	497	2	1.6	CARDINAL
ejpam-87	498	1	7	CARDINAL
ejpam-87	498	2	1	CARDINAL
ejpam-87	499	1	1	CARDINAL
ejpam-87	499	2	1	CARDINAL
ejpam-87	501	1	11	CARDINAL
ejpam-87	503	1	m. subasi	PERSON
ejpam-87	503	2	e. subasi	PERSON
ejpam-87	504	1	j. pure	PERSON
ejpam-87	504	2	1 (2008	DATE
ejpam-87	504	3	60-81	CARDINAL
ejpam-87	504	4	76	DATE
ejpam-87	505	1	1	CARDINAL
ejpam-87	506	1	7.1	CARDINAL
ejpam-87	506	2	1	CARDINAL
ejpam-87	506	3	1	CARDINAL
ejpam-87	506	4	1	CARDINAL
ejpam-87	507	1	n∑ k=1	PERSON
ejpam-87	508	1	∏	CARDINAL
ejpam-87	508	2	1− pj	LAW
ejpam-87	508	3	7.2	CARDINAL
ejpam-87	509	1	c(n, k	ORG
ejpam-87	510	1	7.2	CARDINAL
ejpam-87	511	1	7.2	CARDINAL
ejpam-87	511	2	1≤i1<	CARDINAL
ejpam-87	511	3	∏ i∈il pi	PERSON
ejpam-87	511	4	1	CARDINAL
ejpam-87	511	5	7.3	CARDINAL
ejpam-87	516	1	7.4	CARDINAL
ejpam-87	516	2	section 1	LAW
ejpam-87	516	3	7.1	CARDINAL
ejpam-87	517	1	section 3,	LAW
ejpam-87	517	2	4	DATE
ejpam-87	517	3	5	CARDINAL
ejpam-87	517	4	7.4	CARDINAL
ejpam-87	517	5	kmax	PERSON
ejpam-87	519	1	7.1	CARDINAL
ejpam-87	519	2	sn	ORG
ejpam-87	521	1	n∑ k=1	PERSON
ejpam-87	523	1	7.5	CARDINAL
ejpam-87	524	1	first	ORDINAL
ejpam-87	525	1	m. subasi	PERSON
ejpam-87	525	2	e. subasi	PERSON
ejpam-87	526	1	j. pure	PERSON
ejpam-87	526	2	1 (2008	DATE
ejpam-87	526	3	60-81	CARDINAL
ejpam-87	526	4	77 8	DATE
ejpam-87	528	1	ub	ORG
ejpam-87	529	1	1	CARDINAL
ejpam-87	530	1	first	ORDINAL
ejpam-87	531	1	1	CARDINAL
ejpam-87	532	1	1.5	CARDINAL
ejpam-87	532	2	1.6	CARDINAL
ejpam-87	532	3	2	CARDINAL
ejpam-87	532	4	m. subasi	PERSON
ejpam-87	532	5	e. subasi	PERSON
ejpam-87	533	1	j. pure	PERSON
ejpam-87	533	2	1 (2008	DATE
ejpam-87	533	3	60-81	CARDINAL
ejpam-87	533	4	78	CARDINAL
ejpam-87	533	5	2	CARDINAL
ejpam-87	534	1	two	CARDINAL
ejpam-87	534	2	sk1	GPE
ejpam-87	534	3	sk2	LANGUAGE
ejpam-87	534	4	1 ≤ k1	QUANTITY
ejpam-87	535	1	2	CARDINAL
ejpam-87	535	2	3	CARDINAL
ejpam-87	536	1	m. subasi	PERSON
ejpam-87	536	2	e. subasi	PERSON
ejpam-87	537	1	j. pure	PERSON
ejpam-87	537	2	1 (2008	DATE
ejpam-87	537	3	60-81	CARDINAL
ejpam-87	537	4	79	CARDINAL
ejpam-87	538	1	3	CARDINAL
ejpam-87	539	1	section 6	DATE
ejpam-87	540	1	5	CARDINAL
ejpam-87	541	1	5.3568245	CARDINAL
ejpam-87	541	2	16.2332237	CARDINAL
ejpam-87	541	3	32.377332	CARDINAL
ejpam-87	542	1	1.6	CARDINAL
ejpam-87	542	2	0	CARDINAL
ejpam-87	542	3	2	DATE
ejpam-87	542	4	3	DATE
ejpam-87	542	5	10	CARDINAL
ejpam-87	542	6	2	CARDINAL
ejpam-87	542	7	1	CARDINAL
ejpam-87	542	8	0	CARDINAL
ejpam-87	543	1	0	CARDINAL
ejpam-87	543	2	2	DATE
ejpam-87	543	3	3	DATE
ejpam-87	543	4	10	CARDINAL
ejpam-87	544	1	1	CARDINAL
ejpam-87	545	1	b−1b	ORG
ejpam-87	545	2	0.070527273	ORG
ejpam-87	545	3	0.06646205 0.097888845 	PERSON
ejpam-87	546	1	2	CARDINAL
ejpam-87	547	1	second	ORDINAL
ejpam-87	548	1	3	CARDINAL
ejpam-87	549	1	a4	ORG
ejpam-87	550	1	second	ORDINAL
ejpam-87	550	2	0	CARDINAL
ejpam-87	550	3	4	DATE
ejpam-87	550	4	3	DATE
ejpam-87	550	5	10	CARDINAL
ejpam-87	551	1	2 prékopa	GPE
ejpam-87	551	2	m. subasi	PERSON
ejpam-87	551	3	e. subasi	PERSON
ejpam-87	552	1	j. pure	PERSON
ejpam-87	552	2	1 (2008	DATE
ejpam-87	552	3	60-81	CARDINAL
ejpam-87	552	4	80	CARDINAL
ejpam-87	552	5	1	CARDINAL
ejpam-87	553	1	b−1b	ORG
ejpam-87	553	2	0.068539267 0.046860129	PERSON
ejpam-87	553	3		PERSON
ejpam-87	553	4	0	CARDINAL
ejpam-87	554	1	1.6	CARDINAL
ejpam-87	554	2	0.931460733	CARDINAL
ejpam-87	556	1	4	CARDINAL
ejpam-87	557	1	1.6a	CARDINAL
ejpam-87	559	1	1.6a	CARDINAL
ejpam-87	560	1	5	CARDINAL
ejpam-87	561	1	5	CARDINAL
ejpam-87	561	2	1.6a	CARDINAL
ejpam-87	566	1	0	CARDINAL
ejpam-87	567	1	12	CARDINAL
ejpam-87	567	2	1.6	CARDINAL
ejpam-87	567	3		PERSON
ejpam-87	568	1	0.0685393 0.0117919	MONEY
ejpam-87	568	2	0.0468601 0.0097938	PRODUCT
ejpam-87	569	1	0.931905905 ≤	MONEY
ejpam-87	570	1	81	CARDINAL
ejpam-87	570	2	1	CARDINAL
ejpam-87	570	3	a. prékopa	PERSON
ejpam-87	570	4	two	CARDINAL
ejpam-87	572	1	14	CARDINAL
ejpam-87	573	1	317–347	CARDINAL
ejpam-87	573	2	1989	DATE
ejpam-87	574	1	2	CARDINAL
ejpam-87	574	2	j. bukszár	PERSON
ejpam-87	574	3	a. prékopa	PERSON
ejpam-87	576	1	26	CARDINAL
ejpam-87	576	2	174–192	CARDINAL
ejpam-87	576	3	2001	DATE
ejpam-87	577	1	3	CARDINAL
ejpam-87	577	2	j. bukszár	PERSON
ejpam-87	578	1	6	CARDINAL
ejpam-87	578	2	727–745	CARDINAL
ejpam-87	578	3	2003	DATE
ejpam-87	579	1	4	CARDINAL
ejpam-87	579	2	dawson	GPE
ejpam-87	579	3	a. sankoff	PERSON
ejpam-87	580	1	american	NORP
ejpam-87	580	2	18	CARDINAL
ejpam-87	580	3	504–507	CARDINAL
ejpam-87	580	4	1967	DATE
ejpam-87	581	1	5	CARDINAL
ejpam-87	581	2	j. gessel	PERSON
ejpam-87	581	3	g. viennot	PERSON
ejpam-87	582	1	58	DATE
ejpam-87	582	2	300–321	CARDINAL
ejpam-87	582	3	1985	DATE
ejpam-87	583	1	6	CARDINAL
ejpam-87	583	2	kwerel	PERSON
ejpam-87	584	1	j. amer	PERSON
ejpam-87	586	1	assoc.	ORG
ejpam-87	587	1	70	CARDINAL
ejpam-87	587	2	472–479	CARDINAL
ejpam-87	587	3	1975	DATE
ejpam-87	588	1	7	CARDINAL
ejpam-87	588	2	a. prékopa	PERSON
ejpam-87	588	3	boole	GPE
ejpam-87	588	4	linear programming	ORG
ejpam-87	589	1	36	CARDINAL
ejpam-87	589	2	145–162	CARDINAL
ejpam-87	589	3	1988	DATE
ejpam-87	590	1	8	CARDINAL
ejpam-87	590	2	l.v. kantorovich	GPE
ejpam-87	590	3	oxford univ.	ORG
ejpam-87	591	1	new york	GPE
ejpam-87	591	2	197–207, 1989	DATE
ejpam-87	592	1	9	CARDINAL
ejpam-87	593	1	38	CARDINAL
ejpam-87	593	2	227–239	CARDINAL
ejpam-87	593	3	1990	DATE
ejpam-87	594	1	10	CARDINAL
ejpam-87	594	2	linear programming	ORG
ejpam-87	595	1	27	CARDINAL
ejpam-87	595	2	235–254	CARDINAL
ejpam-87	595	3	1990	DATE
ejpam-87	596	1	11	CARDINAL
ejpam-87	596	2	a. prékopa	PERSON
ejpam-87	596	3	kluwer	ORG
ejpam-87	596	4	boston	GPE
ejpam-87	596	5	1995	DATE
ejpam-87	597	1	12	CARDINAL
ejpam-87	597	2	a. prékopa	PERSON
ejpam-87	597	3	linear programming	ORG
ejpam-87	599	1	21	CARDINAL
ejpam-87	599	2	85–111	CARDINAL
ejpam-87	599	3	1996	DATE
ejpam-87	600	1	13	CARDINAL
ejpam-87	600	2	a. prékopa	PERSON
ejpam-87	600	3	l. gao	PERSON
ejpam-87	600	4	linear programs	ORG
ejpam-87	601	1	145	CARDINAL
ejpam-87	602	1	444–454	CARDINAL
ejpam-87	602	2	2005	DATE
ejpam-87	603	1	14	CARDINAL
ejpam-87	603	2	e. subasi	PERSON
ejpam-87	603	3	m. subasi	PERSON
ejpam-87	603	4	a. prékopa	PERSON
ejpam-87	605	1	rutcor	ORG
ejpam-87	605	2	15-2007	DATE