id	sid	eid	entity	type
ejpam-619	1	1	7_619_saini.dvi	CARDINAL
ejpam-619	1	2	european	NORP
ejpam-619	1	3	4	CARDINAL
ejpam-619	1	4	3, 2011	DATE
ejpam-619	1	5	266	CARDINAL
ejpam-619	1	6	t. r. gulati1,∗	PERSON
ejpam-619	1	7	saini2 1	ORG
ejpam-619	1	8	indian institute of technology	ORG
ejpam-619	1	9	667	CARDINAL
ejpam-619	1	10	india	GPE
ejpam-619	1	11	2	CARDINAL
ejpam-619	1	12	vikram sarabhai	PERSON
ejpam-619	1	13	indian	NORP
ejpam-619	1	14	022	CARDINAL
ejpam-619	1	15	india	GPE
ejpam-619	4	1	np	ORG
ejpam-619	5	1	np	ORG
ejpam-619	7	1	2000	CARDINAL
ejpam-619	7	2	90c30	TIME
ejpam-619	7	3	90c32	DATE
ejpam-619	9	1	1	CARDINAL
ejpam-619	9	2	first	ORDINAL
ejpam-619	11	1	hanson	PERSON
ejpam-619	12	1	2	CARDINAL
ejpam-619	13	1	3	CARDINAL
ejpam-619	13	2	8	CARDINAL
ejpam-619	14	1	liang et al	PERSON
ejpam-619	15	1	4	CARDINAL
ejpam-619	17	1	9	CARDINAL
ejpam-619	19	1	om	PERSON
ejpam-619	20	1	h. saini	PERSON
ejpam-619	21	1	266	CARDINAL
ejpam-619	21	2	2011	DATE
ejpam-619	22	1	t. gulati	GPE
ejpam-619	22	2	h. saini	PERSON
ejpam-619	23	1	j. pure	PERSON
ejpam-619	23	2	4 (2011	DATE
ejpam-619	23	3	266-275 267	QUANTITY
ejpam-619	25	1	section 2	LAW
ejpam-619	26	1	np	ORG
ejpam-619	26	2	section 3	LAW
ejpam-619	27	1	section 4	LAW
ejpam-619	27	2	np	ORG
ejpam-619	28	1	section 5	LAW
ejpam-619	29	1	np	ORG
ejpam-619	30	1	2.	CARDINAL
ejpam-619	30	2	np	ORG
ejpam-619	30	3	7→	CARDINAL
ejpam-619	32	1	7→	CARDINAL
ejpam-619	33	1	np	ORG
ejpam-619	34	1	1	CARDINAL
ejpam-619	35	1	third	ORDINAL
ejpam-619	36	1	∈	ORG
ejpam-619	36	2	∈	ORG
ejpam-619	37	1	f(x	ORG
ejpam-619	37	2	0	CARDINAL
ejpam-619	37	3	0	CARDINAL
ejpam-619	38	1	7→	CARDINAL
ejpam-619	39	1	third	ORDINAL
ejpam-619	39	2	7→	CARDINAL
ejpam-619	39	3	7→	CARDINAL
ejpam-619	39	4	0	CARDINAL
ejpam-619	39	5	ρ ∈ r.	PERSON
ejpam-619	39	6	2	CARDINAL
ejpam-619	40	1	φ	ORG
ejpam-619	40	2	∈	ORG
ejpam-619	41	1	f(x	ORG
ejpam-619	41	2	α(x	DATE
ejpam-619	41	3	x̄){∇φ	ORG
ejpam-619	42	1	+ β(x	GPE
ejpam-619	42	2	x̄){k	PERSON
ejpam-619	42	3	p)− pt∇pk	PERSON
ejpam-619	43	1	1	CARDINAL
ejpam-619	45	1	0	CARDINAL
ejpam-619	46	1	ρ	GPE
ejpam-619	46	2	liang et al	PERSON
ejpam-619	47	1	4	CARDINAL
ejpam-619	48	1	t. gulati	PERSON
ejpam-619	48	2	h. saini	PERSON
ejpam-619	49	1	j. pure	PERSON
ejpam-619	49	2	4 (2011	DATE
ejpam-619	49	3	266-275	CARDINAL
ejpam-619	49	4	α(x	DATE
ejpam-619	50	1	1	CARDINAL
ejpam-619	50	2	7	CARDINAL
ejpam-619	51	1	α(x	DATE
ejpam-619	52	1	1,ρ	CARDINAL
ejpam-619	52	2	0	CARDINAL
ejpam-619	52	3	f(x	ORG
ejpam-619	53	1	∇φ	DATE
ejpam-619	54	1	x̄)∇φ	PERSON
ejpam-619	54	2	hanson	GPE
ejpam-619	55	1	2	CARDINAL
ejpam-619	56	1	third	ORDINAL
ejpam-619	56	2	ρ	GPE
ejpam-619	57	1	9	CARDINAL
ejpam-619	58	1	2	CARDINAL
ejpam-619	59	1	β(x	GPE
ejpam-619	60	1	1	CARDINAL
ejpam-619	60	2	1 2	CARDINAL
ejpam-619	60	3	x̄)p	ORG
ejpam-619	60	4	second	ORDINAL
ejpam-619	60	5	ρ	GPE
ejpam-619	60	6	ahmad	PERSON
ejpam-619	61	1	1	CARDINAL
ejpam-619	62	1	α(x	DATE
ejpam-619	63	1	1,ρ	CARDINAL
ejpam-619	63	2	k( x̄	ORG
ejpam-619	63	3	1 2	CARDINAL
ejpam-619	63	4	x̄)p	ORG
ejpam-619	63	5	f(x	ORG
ejpam-619	64	1	6	CARDINAL
ejpam-619	65	1	kuhn-tucker	ORG
ejpam-619	65	2	5	CARDINAL
ejpam-619	66	1	np	ORG
ejpam-619	66	2	7.3.7	CARDINAL
ejpam-619	66	3	5	CARDINAL
ejpam-619	67	1	∈	ORG
ejpam-619	68	1	0	CARDINAL
ejpam-619	68	2	1	CARDINAL
ejpam-619	68	3	0	CARDINAL
ejpam-619	68	4	2	CARDINAL
ejpam-619	68	5	0	CARDINAL
ejpam-619	68	6	0	CARDINAL
ejpam-619	68	7	3	CARDINAL
ejpam-619	68	8	x̄),∇h2(	ORG
ejpam-619	70	1	3	CARDINAL
ejpam-619	70	2	kuhn-tucker	ORG
ejpam-619	70	3	np	ORG
ejpam-619	71	1	1	CARDINAL
ejpam-619	72	1	∈	ORG
ejpam-619	72	2	1)-(3	CARDINAL
ejpam-619	73	1	0	DATE
ejpam-619	73	2	np	ORG
ejpam-619	75	1	φ	ORG
ejpam-619	75	2	∈	ORG
ejpam-619	77	1	+ β(x	GPE
ejpam-619	78	1	p)− pt∇pk	PERSON
ejpam-619	80	1	4	CARDINAL
ejpam-619	80	2	t. gulati	GPE
ejpam-619	80	3	h. saini	PERSON
ejpam-619	81	1	j. pure	PERSON
ejpam-619	81	2	4 (2011	DATE
ejpam-619	81	3	266-275 269	QUANTITY
ejpam-619	81	4	1	CARDINAL
ejpam-619	82	1	x̄)v̄+∇pk	ORG
ejpam-619	82	2	+ β(x	GPE
ejpam-619	83	1	p)− pt∇pk	PERSON
ejpam-619	85	1	5	CARDINAL
ejpam-619	87	1	− β(x	GPE
ejpam-619	88	1	p)− pt∇pk	PERSON
ejpam-619	90	1	6	CARDINAL
ejpam-619	90	2	0	CARDINAL
ejpam-619	90	3	v̄	ORG
ejpam-619	90	4	0	CARDINAL
ejpam-619	91	1	− β(x	GPE
ejpam-619	92	1	p)− pt∇pk	PERSON
ejpam-619	94	1	7	CARDINAL
ejpam-619	94	2	5	CARDINAL
ejpam-619	94	3	7	CARDINAL
ejpam-619	94	4	2(x	CARDINAL
ejpam-619	95	1	np	ORG
ejpam-619	96	1	4.	CARDINAL
ejpam-619	96	2	mond weir duality	ORG
ejpam-619	96	3	md	GPE
ejpam-619	96	4	np	ORG
ejpam-619	96	5	md	GPE
ejpam-619	97	1	0	CARDINAL
ejpam-619	97	2	8)	CARDINAL
ejpam-619	97	3	9	CARDINAL
ejpam-619	97	4	∈	ORG
ejpam-619	98	1	10	CARDINAL
ejpam-619	98	2	2	CARDINAL
ejpam-619	99	1	np	ORG
ejpam-619	99	2	md	GPE
ejpam-619	100	1	0	CARDINAL
ejpam-619	102	1	t. gulati	PERSON
ejpam-619	102	2	h. saini	PERSON
ejpam-619	103	1	j. pure	PERSON
ejpam-619	103	2	4 (2011	DATE
ejpam-619	103	3	266-275 270	QUANTITY
ejpam-619	106	1	+ β(x	GPE
ejpam-619	108	1	11	CARDINAL
ejpam-619	109	1	− β(x	GPE
ejpam-619	111	1	9	CARDINAL
ejpam-619	111	2	10	CARDINAL
ejpam-619	112	1	− β(x	GPE
ejpam-619	114	1	12	CARDINAL
ejpam-619	114	2	11	CARDINAL
ejpam-619	114	3	12	CARDINAL
ejpam-619	117	1	8)	CARDINAL
ejpam-619	117	2	2(x	CARDINAL
ejpam-619	119	1	3	CARDINAL
ejpam-619	121	1	3.4	CARDINAL
ejpam-619	121	2	4	CARDINAL
ejpam-619	122	1	3	CARDINAL
ejpam-619	123	1	np	ORG
ejpam-619	124	1	2	CARDINAL
ejpam-619	124	2	np	ORG
ejpam-619	124	3	md	GPE
ejpam-619	125	1	∈	ORG
ejpam-619	125	2	v̄	GPE
ejpam-619	125	3	md	GPE
ejpam-619	127	1	np	ORG
ejpam-619	127	2	1	CARDINAL
ejpam-619	127	3	∈	ORG
ejpam-619	127	4	kuhn-tucker	ORG
ejpam-619	127	5	1	CARDINAL
ejpam-619	127	6	3	CARDINAL
ejpam-619	128	1	v̄	GPE
ejpam-619	128	2	md	GPE
ejpam-619	129	1	md	GPE
ejpam-619	130	1	2	CARDINAL
ejpam-619	130	2	φ	PERSON
ejpam-619	131	1	v̄	GPE
ejpam-619	131	2	md	GPE
ejpam-619	132	1	t. gulati	PERSON
ejpam-619	132	2	h. saini	PERSON
ejpam-619	133	1	j. pure	PERSON
ejpam-619	133	2	4 (2011	DATE
ejpam-619	133	3	266-275	CARDINAL
ejpam-619	135	1	np	ORG
ejpam-619	135	2	∈	ORG
ejpam-619	136	1	ᾱ, β̄	DATE
ejpam-619	137	1	4	CARDINAL
ejpam-619	138	1	−g(x	ORG
ejpam-619	139	1	ᾱ, β̄	DATE
ejpam-619	139	2	ρ	GPE
ejpam-619	143	1	1 2	CARDINAL
ejpam-619	145	1	−g(x	ORG
ejpam-619	146	1	x̄){∇	DATE
ejpam-619	148	1	+ β(x	GPE
ejpam-619	148	2	x̄){k	PERSON
ejpam-619	148	3	p)− pt∇pk	PERSON
ejpam-619	148	4	f(x	PRODUCT
ejpam-619	148	5	α(x	DATE
ejpam-619	148	6	x̄){−∇g	GPE
ejpam-619	149	1	+ β(x	GPE
ejpam-619	149	2	x̄){k	PERSON
ejpam-619	149	3	p)− pt∇pk	PERSON
ejpam-619	151	1	1	CARDINAL
ejpam-619	153	1	t. gulati	PERSON
ejpam-619	153	2	h. saini	PERSON
ejpam-619	154	1	j. pure	PERSON
ejpam-619	154	2	4 (2011	DATE
ejpam-619	154	3	266-275	CARDINAL
ejpam-619	156	1	1	CARDINAL
ejpam-619	156	2	x̄)+∇pk	ORG
ejpam-619	157	1	+ 1	DATE
ejpam-619	157	2	x̄){k	PERSON
ejpam-619	157	3	p)− pt∇pk	PERSON
ejpam-619	157	4	α(x	DATE
ejpam-619	157	5	x̄){−∇g	GPE
ejpam-619	159	1	x̄){k	PERSON
ejpam-619	159	2	p)− pt∇pk	PERSON
ejpam-619	160	1	α(x	DATE
ejpam-619	163	1	+β(x	GPE
ejpam-619	164	1	p)− pt∇pk	PERSON
ejpam-619	167	1	α(x	DATE
ejpam-619	170	1	+β(x	GPE
ejpam-619	171	1	p)− pt∇pk	PERSON
ejpam-619	177	1	x̄){k̄	PERSON
ejpam-619	177	2	ᾱ, β̄	DATE
ejpam-619	177	3	ρ	GPE
ejpam-619	178	1	4	CARDINAL
ejpam-619	178	2	section 4	LAW
ejpam-619	181	1	∈	ORG
ejpam-619	182	1	t. gulati	GPE
ejpam-619	182	2	h. saini	PERSON
ejpam-619	183	1	j. pure	PERSON
ejpam-619	183	2	4 (2011	DATE
ejpam-619	183	3	266-275 273	QUANTITY
ejpam-619	183	4	5	CARDINAL
ejpam-619	185	1	ᾱ, β̄	DATE
ejpam-619	185	2	ᾱ, β̄	DATE
ejpam-619	185	3	4	CARDINAL
ejpam-619	185	4	0	DATE
ejpam-619	188	1	6	CARDINAL
ejpam-619	190	1	5	CARDINAL
ejpam-619	191	1	∈	ORG
ejpam-619	191	2	v̄	GPE
ejpam-619	192	1	6	CARDINAL
ejpam-619	192	2	wolfe duality	PERSON
ejpam-619	192	3	np	ORG
ejpam-619	192	4	wd	GPE
ejpam-619	194	1	∈	ORG
ejpam-619	196	1	∈	ORG
ejpam-619	197	1	np	ORG
ejpam-619	197	2	wd	GPE
ejpam-619	198	1	section 4	LAW
ejpam-619	200	1	np	ORG
ejpam-619	200	2	wd	GPE
ejpam-619	201	1	0	CARDINAL
ejpam-619	204	1	274	CARDINAL
ejpam-619	204	2	8	DATE
ejpam-619	205	1	np	ORG
ejpam-619	206	1	7	CARDINAL
ejpam-619	206	2	np	ORG
ejpam-619	206	3	wd	GPE
ejpam-619	207	1	∈	ORG
ejpam-619	207	2	v̄	GPE
ejpam-619	207	3	np	ORG
ejpam-619	207	4	wd	GPE
ejpam-619	210	1	ᾱ, β̄	DATE
ejpam-619	210	2	ᾱ, β̄	DATE
ejpam-619	210	3	4	CARDINAL
ejpam-619	210	4	0	DATE
ejpam-619	214	1	10	CARDINAL
ejpam-619	216	1	9	CARDINAL
ejpam-619	217	1	∈	ORG
ejpam-619	217	2	v̄	GPE
ejpam-619	218	1	7	CARDINAL
ejpam-619	219	1	problem.these	NORP
ejpam-619	220	1	second	ORDINAL
ejpam-619	220	2	the university grants commission	ORG
ejpam-619	220	3	new delhi	GPE
ejpam-619	220	4	india	GPE
ejpam-619	221	1	1	CARDINAL
ejpam-619	221	2	i. ahmad	PERSON
ejpam-619	221	3	z. husain	PERSON
ejpam-619	222	1	second	ORDINAL
ejpam-619	223	1	176	CARDINAL
ejpam-619	223	2	3094-3103	DATE
ejpam-619	223	3	2006	DATE
ejpam-619	224	1	2	CARDINAL
ejpam-619	224	2	m. a. hanson	PERSON
ejpam-619	225	1	kuhn-tucker	ORG
ejpam-619	226	1	80	CARDINAL
ejpam-619	226	2	545-550	CARDINAL
ejpam-619	226	3	1981	DATE
ejpam-619	227	1	3	CARDINAL
ejpam-619	227	2	m. a. hanson	PERSON
ejpam-619	227	3	b. mond	PERSON
ejpam-619	229	1	3	CARDINAL
ejpam-619	229	2	25	CARDINAL
ejpam-619	230	1	275	CARDINAL
ejpam-619	231	1	4	CARDINAL
ejpam-619	231	2	z. a. liang	PERSON
ejpam-619	231	3	h. x. huang	PERSON
ejpam-619	231	4	p. m. pardalos	PERSON
ejpam-619	233	1	110	CARDINAL
ejpam-619	233	2	611-619	CARDINAL
ejpam-619	234	1	5	CARDINAL
ejpam-619	234	2	o. l. mangasarian	PERSON
ejpam-619	235	1	nonlinear programming	ORG
ejpam-619	236	1	mcgraw hill	ORG
ejpam-619	236	2	new york	GPE
ejpam-619	236	3	ny	GPE
ejpam-619	236	4	1969	DATE
ejpam-619	237	1	6	CARDINAL
ejpam-619	237	2	s. pandey	PERSON
ejpam-619	239	1	opsearch	ORG
ejpam-619	239	2	28	CARDINAL
ejpam-619	239	3	31-43	CARDINAL
ejpam-619	240	1	7	CARDINAL
ejpam-619	242	1	166	CARDINAL
ejpam-619	242	2	365-377	CARDINAL
ejpam-619	243	1	8	CARDINAL
ejpam-619	243	2	j. p.	PERSON
ejpam-619	245	1	8	CARDINAL
ejpam-619	245	2	231	CARDINAL
ejpam-619	245	3	1983	DATE
ejpam-619	246	1	9	CARDINAL
ejpam-619	246	2	x. l. liu	PERSON
ejpam-619	246	3	a. chinchuluun	PERSON
ejpam-619	246	4	p. m. pardalos	PERSON
ejpam-619	247	1	ρ	GPE
ejpam-619	248	1	129	CARDINAL
ejpam-619	248	2	185	CARDINAL