id	sid	tid	token	lemma	pos
ejpam-6921	1	1	european	european	PROPN
ejpam-6921	1	2	journal	journal	PROPN
ejpam-6921	1	3	of	of	ADP
ejpam-6921	1	4	pure	pure	ADJ
ejpam-6921	1	5	and	and	CCONJ
ejpam-6921	1	6	applied	applied	ADJ
ejpam-6921	1	7	mathematics	mathematic	NOUN
ejpam-6921	1	8	2025	2025	NUM
ejpam-6921	1	9	,	,	PUNCT
ejpam-6921	1	10	vol	vol	NOUN
ejpam-6921	1	11	.	.	PROPN
ejpam-6921	1	12	18	18	NUM
ejpam-6921	1	13	,	,	PUNCT
ejpam-6921	1	14	issue	issue	NOUN
ejpam-6921	1	15	4	4	NUM
ejpam-6921	1	16	,	,	PUNCT
ejpam-6921	1	17	article	article	NOUN
ejpam-6921	1	18	number	number	NOUN
ejpam-6921	1	19	6921	6921	NUM
ejpam-6921	1	20	issn	issn	VERB
ejpam-6921	1	21	1307	1307	NUM
ejpam-6921	1	22	-	-	SYM
ejpam-6921	1	23	5543	5543	NUM
ejpam-6921	1	24	–	–	PUNCT
ejpam-6921	1	25	ejpam.com	ejpam.com	X
ejpam-6921	1	26	published	publish	VERB
ejpam-6921	1	27	by	by	ADP
ejpam-6921	1	28	new	new	PROPN
ejpam-6921	1	29	york	york	PROPN
ejpam-6921	1	30	business	business	PROPN
ejpam-6921	1	31	global	global	PROPN
ejpam-6921	1	32	a	a	DET
ejpam-6921	1	33	new	new	ADJ
ejpam-6921	1	34	approach	approach	NOUN
ejpam-6921	1	35	in	in	ADP
ejpam-6921	1	36	solving	solve	VERB
ejpam-6921	1	37	a	a	DET
ejpam-6921	1	38	class	class	NOUN
ejpam-6921	1	39	of	of	ADP
ejpam-6921	1	40	control	control	NOUN
ejpam-6921	1	41	problems	problem	NOUN
ejpam-6921	1	42	with	with	ADP
ejpam-6921	1	43	fractional	fractional	ADJ
ejpam-6921	1	44	objectives	objective	NOUN
ejpam-6921	1	45	tareq	tareq	PROPN
ejpam-6921	1	46	saeed1	saeed1	PROPN
ejpam-6921	1	47	,	,	PUNCT
ejpam-6921	1	48	savin	savin	NOUN
ejpam-6921	1	49	treanţă2,3,4,∗	treanţă2,3,4,∗	PROPN
ejpam-6921	1	50	1	1	NUM
ejpam-6921	1	51	financial	financial	ADJ
ejpam-6921	1	52	mathematics	mathematic	NOUN
ejpam-6921	1	53	and	and	CCONJ
ejpam-6921	1	54	actuarial	actuarial	ADJ
ejpam-6921	1	55	science	science	NOUN
ejpam-6921	1	56	(	(	PUNCT
ejpam-6921	1	57	fmas	fmas	PROPN
ejpam-6921	1	58	)	)	PUNCT
ejpam-6921	1	59	,	,	PUNCT
ejpam-6921	1	60	department	department	NOUN
ejpam-6921	1	61	of	of	ADP
ejpam-6921	1	62	mathematics	mathematic	NOUN
ejpam-6921	1	63	,	,	PUNCT
ejpam-6921	1	64	faculty	faculty	NOUN
ejpam-6921	1	65	of	of	ADP
ejpam-6921	1	66	sciences	science	NOUN
ejpam-6921	1	67	,	,	PUNCT
ejpam-6921	1	68	king	king	NOUN
ejpam-6921	1	69	abdulaziz	abdulaziz	PROPN
ejpam-6921	1	70	university	university	PROPN
ejpam-6921	1	71	,	,	PUNCT
ejpam-6921	1	72	21589	21589	NUM
ejpam-6921	1	73	jeddah	jeddah	PROPN
ejpam-6921	1	74	,	,	PUNCT
ejpam-6921	1	75	saudi	saudi	PROPN
ejpam-6921	1	76	arabia	arabia	PROPN
ejpam-6921	1	77	2	2	NUM
ejpam-6921	1	78	department	department	NOUN
ejpam-6921	1	79	of	of	ADP
ejpam-6921	1	80	applied	apply	VERB
ejpam-6921	1	81	mathematics	mathematic	NOUN
ejpam-6921	1	82	,	,	PUNCT
ejpam-6921	1	83	national	national	ADJ
ejpam-6921	1	84	university	university	PROPN
ejpam-6921	1	85	of	of	ADP
ejpam-6921	1	86	science	science	NOUN
ejpam-6921	1	87	and	and	CCONJ
ejpam-6921	1	88	technology	technology	NOUN
ejpam-6921	1	89	politehnica	politehnica	PROPN
ejpam-6921	1	90	bucharest	bucharest	PROPN
ejpam-6921	1	91	,	,	PUNCT
ejpam-6921	1	92	060042	060042	NUM
ejpam-6921	1	93	bucharest	bucharest	PROPN
ejpam-6921	1	94	,	,	PUNCT
ejpam-6921	1	95	romania	romania	PROPN
ejpam-6921	1	96	3	3	NUM
ejpam-6921	1	97	academy	academy	NOUN
ejpam-6921	1	98	of	of	ADP
ejpam-6921	1	99	romanian	romanian	ADJ
ejpam-6921	1	100	scientists	scientist	NOUN
ejpam-6921	1	101	,	,	PUNCT
ejpam-6921	1	102	54	54	NUM
ejpam-6921	1	103	splaiul	splaiul	NOUN
ejpam-6921	1	104	independentei	independentei	NOUN
ejpam-6921	1	105	,	,	PUNCT
ejpam-6921	1	106	050094	050094	NUM
ejpam-6921	1	107	bucharest	bucharest	X
ejpam-6921	1	108	,	,	PUNCT
ejpam-6921	1	109	romania	romania	PROPN
ejpam-6921	1	110	4	4	NUM
ejpam-6921	1	111	fundamental	fundamental	ADJ
ejpam-6921	1	112	sciences	science	NOUN
ejpam-6921	1	113	applied	apply	VERB
ejpam-6921	1	114	in	in	ADP
ejpam-6921	1	115	engineering	engineering	NOUN
ejpam-6921	1	116	research	research	NOUN
ejpam-6921	1	117	center	center	NOUN
ejpam-6921	1	118	,	,	PUNCT
ejpam-6921	1	119	national	national	ADJ
ejpam-6921	1	120	university	university	PROPN
ejpam-6921	1	121	of	of	ADP
ejpam-6921	1	122	science	science	NOUN
ejpam-6921	1	123	and	and	CCONJ
ejpam-6921	1	124	technology	technology	NOUN
ejpam-6921	1	125	politehnica	politehnica	PROPN
ejpam-6921	1	126	bucharest	bucharest	PROPN
ejpam-6921	1	127	,	,	PUNCT
ejpam-6921	1	128	060042	060042	NUM
ejpam-6921	1	129	bucharest	bucharest	PROPN
ejpam-6921	1	130	,	,	PUNCT
ejpam-6921	1	131	romania	romania	PROPN
ejpam-6921	1	132	abstract	abstract	NOUN
ejpam-6921	1	133	.	.	PUNCT
ejpam-6921	2	1	in	in	ADP
ejpam-6921	2	2	this	this	DET
ejpam-6921	2	3	paper	paper	NOUN
ejpam-6921	2	4	,	,	PUNCT
ejpam-6921	2	5	we	we	PRON
ejpam-6921	2	6	introduce	introduce	VERB
ejpam-6921	2	7	and	and	CCONJ
ejpam-6921	2	8	investigate	investigate	VERB
ejpam-6921	2	9	a	a	DET
ejpam-6921	2	10	pair	pair	NOUN
ejpam-6921	2	11	of	of	ADP
ejpam-6921	2	12	symmetric	symmetric	ADJ
ejpam-6921	2	13	multi	multi	ADJ
ejpam-6921	2	14	-	-	ADJ
ejpam-6921	2	15	dimensional	dimensional	ADJ
ejpam-6921	2	16	variational	variational	ADJ
ejpam-6921	2	17	fractional	fractional	ADJ
ejpam-6921	2	18	control	control	NOUN
ejpam-6921	2	19	problems	problem	NOUN
ejpam-6921	2	20	.	.	PUNCT
ejpam-6921	3	1	to	to	ADP
ejpam-6921	3	2	this	this	DET
ejpam-6921	3	3	end	end	NOUN
ejpam-6921	3	4	,	,	PUNCT
ejpam-6921	3	5	first	first	ADV
ejpam-6921	3	6	,	,	PUNCT
ejpam-6921	3	7	we	we	PRON
ejpam-6921	3	8	formulate	formulate	VERB
ejpam-6921	3	9	an	an	DET
ejpam-6921	3	10	updated	update	VERB
ejpam-6921	3	11	concept	concept	NOUN
ejpam-6921	3	12	of	of	ADP
ejpam-6921	3	13	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	3	14	associated	associate	VERB
ejpam-6921	3	15	with	with	ADP
ejpam-6921	3	16	multiple	multiple	ADJ
ejpam-6921	3	17	integral	integral	ADJ
ejpam-6921	3	18	type	type	NOUN
ejpam-6921	3	19	functionals	functional	NOUN
ejpam-6921	3	20	.	.	PUNCT
ejpam-6921	4	1	further	far	ADV
ejpam-6921	4	2	,	,	PUNCT
ejpam-6921	4	3	we	we	PRON
ejpam-6921	4	4	establish	establish	VERB
ejpam-6921	4	5	a	a	DET
ejpam-6921	4	6	very	very	ADV
ejpam-6921	4	7	important	important	ADJ
ejpam-6921	4	8	connection	connection	NOUN
ejpam-6921	4	9	between	between	ADP
ejpam-6921	4	10	the	the	DET
ejpam-6921	4	11	objective	objective	ADJ
ejpam-6921	4	12	functionals	functional	NOUN
ejpam-6921	4	13	of	of	ADP
ejpam-6921	4	14	the	the	DET
ejpam-6921	4	15	studied	study	VERB
ejpam-6921	4	16	symmetric	symmetric	ADJ
ejpam-6921	4	17	models	model	NOUN
ejpam-6921	4	18	.	.	PUNCT
ejpam-6921	5	1	2020	2020	NUM
ejpam-6921	5	2	mathematics	mathematic	NOUN
ejpam-6921	5	3	subject	subject	NOUN
ejpam-6921	5	4	classifications	classification	NOUN
ejpam-6921	5	5	:	:	PUNCT
ejpam-6921	5	6	49k20	49k20	NUM
ejpam-6921	5	7	,	,	PUNCT
ejpam-6921	5	8	49k35	49k35	NUM
ejpam-6921	5	9	,	,	PUNCT
ejpam-6921	5	10	49n15	49n15	DET
ejpam-6921	5	11	key	key	ADJ
ejpam-6921	5	12	words	word	NOUN
ejpam-6921	5	13	and	and	CCONJ
ejpam-6921	5	14	phrases	phrase	NOUN
ejpam-6921	5	15	:	:	PUNCT
ejpam-6921	5	16	fractional	fractional	ADJ
ejpam-6921	5	17	control	control	NOUN
ejpam-6921	5	18	problems	problem	NOUN
ejpam-6921	5	19	,	,	PUNCT
ejpam-6921	5	20	properly	properly	ADV
ejpam-6921	5	21	efficient	efficient	ADJ
ejpam-6921	5	22	solution	solution	NOUN
ejpam-6921	5	23	,	,	PUNCT
ejpam-6921	5	24	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	5	25	1	1	NUM
ejpam-6921	5	26	.	.	PUNCT
ejpam-6921	6	1	introduction	introduction	NOUN
ejpam-6921	6	2	optimization	optimization	NOUN
ejpam-6921	6	3	theory	theory	NOUN
ejpam-6921	6	4	has	have	AUX
ejpam-6921	6	5	recently	recently	ADV
ejpam-6921	6	6	undergone	undergo	VERB
ejpam-6921	6	7	significant	significant	ADJ
ejpam-6921	6	8	development	development	NOUN
ejpam-6921	6	9	.	.	PUNCT
ejpam-6921	7	1	many	many	ADJ
ejpam-6921	7	2	researchers	researcher	NOUN
ejpam-6921	7	3	have	have	AUX
ejpam-6921	7	4	managed	manage	VERB
ejpam-6921	7	5	to	to	PART
ejpam-6921	7	6	formulate	formulate	VERB
ejpam-6921	7	7	optimality	optimality	NOUN
ejpam-6921	7	8	criteria	criterion	NOUN
ejpam-6921	7	9	and	and	CCONJ
ejpam-6921	7	10	conditions	condition	NOUN
ejpam-6921	7	11	that	that	PRON
ejpam-6921	7	12	have	have	AUX
ejpam-6921	7	13	advanced	advance	VERB
ejpam-6921	7	14	the	the	DET
ejpam-6921	7	15	current	current	ADJ
ejpam-6921	7	16	level	level	NOUN
ejpam-6921	7	17	of	of	ADP
ejpam-6921	7	18	knowledge	knowledge	NOUN
ejpam-6921	7	19	.	.	PUNCT
ejpam-6921	8	1	in	in	ADP
ejpam-6921	8	2	this	this	DET
ejpam-6921	8	3	regard	regard	NOUN
ejpam-6921	8	4	,	,	PUNCT
ejpam-6921	8	5	abdulaleem	abdulaleem	ADJ
ejpam-6921	8	6	and	and	CCONJ
ejpam-6921	8	7	treanţă	treanţă	ADJ
ejpam-6921	9	1	[	[	X
ejpam-6921	9	2	1	1	NUM
ejpam-6921	9	3	]	]	PUNCT
ejpam-6921	9	4	,	,	PUNCT
ejpam-6921	9	5	under	under	ADP
ejpam-6921	9	6	the	the	DET
ejpam-6921	9	7	framework	framework	NOUN
ejpam-6921	9	8	of	of	ADP
ejpam-6921	9	9	e‑differentiability	e‑differentiability	NOUN
ejpam-6921	9	10	,	,	PUNCT
ejpam-6921	9	11	established	establish	VERB
ejpam-6921	9	12	sufficient	sufficient	ADJ
ejpam-6921	9	13	optimality	optimality	NOUN
ejpam-6921	9	14	conditions	condition	NOUN
ejpam-6921	9	15	-notably	-notably	PROPN
ejpam-6921	9	16	kkt	kkt	PROPN
ejpam-6921	9	17	conditions	condition	NOUN
ejpam-6921	9	18	for	for	ADP
ejpam-6921	9	19	vector	vector	NOUN
ejpam-6921	9	20	optimization	optimization	NOUN
ejpam-6921	9	21	problems	problem	NOUN
ejpam-6921	9	22	where	where	SCONJ
ejpam-6921	9	23	the	the	DET
ejpam-6921	9	24	objective	objective	ADJ
ejpam-6921	9	25	and	and	CCONJ
ejpam-6921	9	26	constraint	constraint	NOUN
ejpam-6921	9	27	functions	function	NOUN
ejpam-6921	9	28	satisfy	satisfy	VERB
ejpam-6921	9	29	(	(	PUNCT
ejpam-6921	9	30	generalized	generalized	ADJ
ejpam-6921	9	31	)	)	PUNCT
ejpam-6921	9	32	v‑e‑type	v‑e‑type	PROPN
ejpam-6921	9	33	i	i	PROPN
ejpam-6921	9	34	properties	property	NOUN
ejpam-6921	9	35	.	.	PUNCT
ejpam-6921	10	1	ahmad	ahmad	PROPN
ejpam-6921	11	1	[	[	X
ejpam-6921	11	2	2	2	NUM
ejpam-6921	11	3	]	]	PUNCT
ejpam-6921	11	4	extended	extend	VERB
ejpam-6921	11	5	symmetric	symmetric	ADJ
ejpam-6921	11	6	duality	duality	NOUN
ejpam-6921	11	7	theory	theory	NOUN
ejpam-6921	11	8	–	–	PUNCT
ejpam-6921	11	9	a	a	DET
ejpam-6921	11	10	form	form	NOUN
ejpam-6921	11	11	of	of	ADP
ejpam-6921	11	12	duality	duality	NOUN
ejpam-6921	11	13	where	where	SCONJ
ejpam-6921	11	14	primal	primal	ADJ
ejpam-6921	11	15	and	and	CCONJ
ejpam-6921	11	16	dual	dual	ADJ
ejpam-6921	11	17	problems	problem	NOUN
ejpam-6921	11	18	have	have	VERB
ejpam-6921	11	19	symmetric	symmetric	ADJ
ejpam-6921	11	20	structures	structure	NOUN
ejpam-6921	11	21	–	–	PUNCT
ejpam-6921	11	22	to	to	ADP
ejpam-6921	11	23	the	the	DET
ejpam-6921	11	24	domain	domain	NOUN
ejpam-6921	11	25	of	of	ADP
ejpam-6921	11	26	multiobjective	multiobjective	ADJ
ejpam-6921	11	27	fractional	fractional	ADJ
ejpam-6921	11	28	variational	variational	ADJ
ejpam-6921	11	29	problems	problem	NOUN
ejpam-6921	11	30	.	.	PUNCT
ejpam-6921	12	1	specifically	specifically	ADV
ejpam-6921	12	2	,	,	PUNCT
ejpam-6921	12	3	he	he	PRON
ejpam-6921	12	4	formulated	formulate	VERB
ejpam-6921	12	5	various	various	ADJ
ejpam-6921	12	6	duality	duality	NOUN
ejpam-6921	12	7	results	result	NOUN
ejpam-6921	12	8	under	under	ADP
ejpam-6921	12	9	assumptions	assumption	NOUN
ejpam-6921	12	10	of	of	ADP
ejpam-6921	12	11	generalized	generalized	ADJ
ejpam-6921	12	12	invexity	invexity	NOUN
ejpam-6921	12	13	.	.	PUNCT
ejpam-6921	13	1	additionally	additionally	ADV
ejpam-6921	13	2	,	,	PUNCT
ejpam-6921	13	3	he	he	PRON
ejpam-6921	13	4	explored	explore	VERB
ejpam-6921	13	5	the	the	DET
ejpam-6921	13	6	intrinsic	intrinsic	ADJ
ejpam-6921	13	7	relationships	relationship	NOUN
ejpam-6921	13	8	between	between	ADP
ejpam-6921	13	9	these	these	DET
ejpam-6921	13	10	variational	variational	ADJ
ejpam-6921	13	11	problems	problem	NOUN
ejpam-6921	13	12	and	and	CCONJ
ejpam-6921	13	13	their	their	PRON
ejpam-6921	13	14	corresponding	corresponding	ADJ
ejpam-6921	13	15	multiobjective	multiobjective	ADJ
ejpam-6921	13	16	fractional	fractional	ADJ
ejpam-6921	13	17	symmetric	symmetric	ADJ
ejpam-6921	13	18	dual	dual	ADJ
ejpam-6921	13	19	problems	problem	NOUN
ejpam-6921	13	20	.	.	PUNCT
ejpam-6921	14	1	antczak	antczak	PROPN
ejpam-6921	14	2	et	et	PROPN
ejpam-6921	14	3	al	al	PROPN
ejpam-6921	14	4	.	.	PUNCT
ejpam-6921	15	1	[	[	X
ejpam-6921	15	2	3	3	NUM
ejpam-6921	15	3	]	]	PUNCT
ejpam-6921	15	4	studied	study	VERB
ejpam-6921	15	5	a	a	DET
ejpam-6921	15	6	type	type	NOUN
ejpam-6921	15	7	of	of	ADP
ejpam-6921	15	8	optimal	optimal	ADJ
ejpam-6921	15	9	control	control	NOUN
ejpam-6921	15	10	∗corresponding	∗corresponde	VERB
ejpam-6921	15	11	author	author	NOUN
ejpam-6921	15	12	.	.	PUNCT
ejpam-6921	16	1	doi	doi	NOUN
ejpam-6921	16	2	:	:	PUNCT
ejpam-6921	16	3	https://doi.org/10.29020/nybg.ejpam.v18i4.6921	https://doi.org/10.29020/nybg.ejpam.v18i4.6921	PRON
ejpam-6921	16	4	email	email	NOUN
ejpam-6921	16	5	addresses	address	NOUN
ejpam-6921	16	6	:	:	PUNCT
ejpam-6921	16	7	tsalmalki@kau.edu.sa	tsalmalki@kau.edu.sa	PROPN
ejpam-6921	16	8	(	(	PUNCT
ejpam-6921	16	9	t.	t.	PROPN
ejpam-6921	16	10	saeed	saeed	PROPN
ejpam-6921	16	11	)	)	PUNCT
ejpam-6921	16	12	,	,	PUNCT
ejpam-6921	16	13	savin.treanta@upb.ro	savin.treanta@upb.ro	X
ejpam-6921	16	14	(	(	PUNCT
ejpam-6921	16	15	s.	s.	PROPN
ejpam-6921	16	16	treanţă	treanţă	PROPN
ejpam-6921	16	17	)	)	PUNCT
ejpam-6921	16	18	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6921	17	1	1	1	NUM
ejpam-6921	17	2	copyright	copyright	NOUN
ejpam-6921	17	3	:	:	PUNCT
ejpam-6921	17	4	©	©	PROPN
ejpam-6921	17	5	2025	2025	NUM
ejpam-6921	17	6	the	the	DET
ejpam-6921	17	7	author(s	author(s	NOUN
ejpam-6921	17	8	)	)	PUNCT
ejpam-6921	17	9	.	.	PUNCT
ejpam-6921	18	1	(	(	PUNCT
ejpam-6921	18	2	cc	cc	NOUN
ejpam-6921	18	3	by	by	ADP
ejpam-6921	18	4	-	-	PUNCT
ejpam-6921	18	5	nc	nc	PROPN
ejpam-6921	18	6	4.0	4.0	NUM
ejpam-6921	18	7	)	)	PUNCT
ejpam-6921	18	8	t.	t.	PROPN
ejpam-6921	18	9	saeed	saeed	PROPN
ejpam-6921	18	10	,	,	PUNCT
ejpam-6921	18	11	s.	s.	PROPN
ejpam-6921	18	12	treanţă	treanţă	PROPN
ejpam-6921	18	13	/	/	SYM
ejpam-6921	18	14	eur	eur	PROPN
ejpam-6921	18	15	.	.	PUNCT
ejpam-6921	19	1	j.	j.	PROPN
ejpam-6921	19	2	pure	pure	PROPN
ejpam-6921	19	3	appl	appl	PROPN
ejpam-6921	19	4	.	.	PROPN
ejpam-6921	19	5	math	math	PROPN
ejpam-6921	19	6	,	,	PUNCT
ejpam-6921	19	7	18	18	NUM
ejpam-6921	19	8	(	(	PUNCT
ejpam-6921	19	9	4	4	NUM
ejpam-6921	19	10	)	)	PUNCT
ejpam-6921	19	11	(	(	PUNCT
ejpam-6921	19	12	2025	2025	NUM
ejpam-6921	19	13	)	)	PUNCT
ejpam-6921	19	14	,	,	PUNCT
ejpam-6921	19	15	6921	6921	NUM
ejpam-6921	19	16	2	2	NUM
ejpam-6921	19	17	of	of	ADP
ejpam-6921	19	18	14	14	NUM
ejpam-6921	19	19	framework	framework	NOUN
ejpam-6921	19	20	where	where	SCONJ
ejpam-6921	19	21	the	the	DET
ejpam-6921	19	22	objective	objective	NOUN
ejpam-6921	19	23	comprises	comprise	VERB
ejpam-6921	19	24	multiple	multiple	ADJ
ejpam-6921	19	25	fractional	fractional	ADJ
ejpam-6921	19	26	terms	term	NOUN
ejpam-6921	19	27	that	that	PRON
ejpam-6921	19	28	are	be	AUX
ejpam-6921	19	29	not	not	PART
ejpam-6921	19	30	necessarily	necessarily	ADV
ejpam-6921	19	31	convex	convex	VERB
ejpam-6921	19	32	or	or	CCONJ
ejpam-6921	19	33	differentiable	differentiable	ADJ
ejpam-6921	19	34	.	.	PUNCT
ejpam-6921	20	1	bagri	bagri	ADP
ejpam-6921	20	2	et	et	PROPN
ejpam-6921	20	3	al	al	PROPN
ejpam-6921	20	4	.	.	PUNCT
ejpam-6921	21	1	[	[	X
ejpam-6921	21	2	4	4	X
ejpam-6921	21	3	]	]	PUNCT
ejpam-6921	21	4	tackled	tackle	VERB
ejpam-6921	21	5	a	a	DET
ejpam-6921	21	6	multi	multi	ADJ
ejpam-6921	21	7	-	-	ADJ
ejpam-6921	21	8	dimensional	dimensional	ADJ
ejpam-6921	21	9	vector	vector	NOUN
ejpam-6921	21	10	fractional	fractional	ADJ
ejpam-6921	21	11	variational	variational	ADJ
ejpam-6921	21	12	control	control	NOUN
ejpam-6921	21	13	problem	problem	NOUN
ejpam-6921	21	14	while	while	SCONJ
ejpam-6921	21	15	explicitly	explicitly	ADV
ejpam-6921	21	16	incorporating	incorporate	VERB
ejpam-6921	21	17	data	datum	NOUN
ejpam-6921	21	18	uncertainty	uncertainty	NOUN
ejpam-6921	21	19	into	into	ADP
ejpam-6921	21	20	the	the	DET
ejpam-6921	21	21	model	model	NOUN
ejpam-6921	21	22	.	.	PUNCT
ejpam-6921	22	1	the	the	DET
ejpam-6921	22	2	study	study	NOUN
ejpam-6921	22	3	’s	’s	PART
ejpam-6921	22	4	core	core	NOUN
ejpam-6921	22	5	lies	lie	VERB
ejpam-6921	22	6	in	in	ADP
ejpam-6921	22	7	formulating	formulate	VERB
ejpam-6921	22	8	a	a	DET
ejpam-6921	22	9	wolfe	wolfe	NOUN
ejpam-6921	22	10	-	-	PUNCT
ejpam-6921	22	11	type	type	NOUN
ejpam-6921	22	12	dual	dual	ADJ
ejpam-6921	22	13	problem	problem	NOUN
ejpam-6921	22	14	for	for	ADP
ejpam-6921	22	15	the	the	DET
ejpam-6921	22	16	uncertain	uncertain	ADJ
ejpam-6921	22	17	primal	primal	ADJ
ejpam-6921	22	18	control	control	NOUN
ejpam-6921	22	19	problem	problem	NOUN
ejpam-6921	22	20	and	and	CCONJ
ejpam-6921	22	21	establishing	establish	VERB
ejpam-6921	22	22	robust	robust	ADJ
ejpam-6921	22	23	duality	duality	NOUN
ejpam-6921	22	24	results	result	NOUN
ejpam-6921	22	25	,	,	PUNCT
ejpam-6921	22	26	particularly	particularly	ADV
ejpam-6921	22	27	under	under	ADP
ejpam-6921	22	28	convexity	convexity	NOUN
ejpam-6921	22	29	assumptions	assumption	NOUN
ejpam-6921	22	30	on	on	ADP
ejpam-6921	22	31	the	the	DET
ejpam-6921	22	32	involved	involved	ADJ
ejpam-6921	22	33	functionals	functional	NOUN
ejpam-6921	22	34	.	.	PUNCT
ejpam-6921	23	1	bector	bector	NOUN
ejpam-6921	23	2	and	and	CCONJ
ejpam-6921	23	3	husain	husain	PROPN
ejpam-6921	24	1	[	[	X
ejpam-6921	24	2	5	5	NUM
ejpam-6921	24	3	]	]	PUNCT
ejpam-6921	24	4	extended	extend	VERB
ejpam-6921	24	5	classical	classical	ADJ
ejpam-6921	24	6	duality	duality	NOUN
ejpam-6921	24	7	theory	theory	NOUN
ejpam-6921	24	8	into	into	ADP
ejpam-6921	24	9	the	the	DET
ejpam-6921	24	10	realm	realm	NOUN
ejpam-6921	24	11	of	of	ADP
ejpam-6921	24	12	multiobjective	multiobjective	ADJ
ejpam-6921	24	13	variational	variational	ADJ
ejpam-6921	24	14	problems	problem	NOUN
ejpam-6921	24	15	,	,	PUNCT
ejpam-6921	24	16	framing	frame	VERB
ejpam-6921	24	17	variational	variational	ADJ
ejpam-6921	24	18	calculus	calculus	NOUN
ejpam-6921	24	19	techniques	technique	NOUN
ejpam-6921	24	20	within	within	ADP
ejpam-6921	24	21	a	a	DET
ejpam-6921	24	22	multiobjective	multiobjective	ADJ
ejpam-6921	24	23	optimization	optimization	NOUN
ejpam-6921	24	24	context	context	NOUN
ejpam-6921	24	25	.	.	PUNCT
ejpam-6921	25	1	chandra	chandra	PROPN
ejpam-6921	25	2	et	et	PROPN
ejpam-6921	25	3	al	al	PROPN
ejpam-6921	25	4	.	.	PUNCT
ejpam-6921	26	1	[	[	X
ejpam-6921	26	2	6	6	NUM
ejpam-6921	26	3	]	]	PUNCT
ejpam-6921	26	4	introduced	introduce	VERB
ejpam-6921	26	5	a	a	DET
ejpam-6921	26	6	pair	pair	NOUN
ejpam-6921	26	7	of	of	ADP
ejpam-6921	26	8	symmetric	symmetric	ADJ
ejpam-6921	26	9	dual	dual	ADJ
ejpam-6921	26	10	fractional	fractional	ADJ
ejpam-6921	26	11	programming	programming	NOUN
ejpam-6921	26	12	problems	problem	NOUN
ejpam-6921	26	13	,	,	PUNCT
ejpam-6921	26	14	extending	extend	VERB
ejpam-6921	26	15	classical	classical	ADJ
ejpam-6921	26	16	duality	duality	NOUN
ejpam-6921	26	17	theory	theory	NOUN
ejpam-6921	26	18	into	into	ADP
ejpam-6921	26	19	the	the	DET
ejpam-6921	26	20	realm	realm	NOUN
ejpam-6921	26	21	of	of	ADP
ejpam-6921	26	22	fractional	fractional	ADJ
ejpam-6921	26	23	programming	programming	NOUN
ejpam-6921	26	24	.	.	PUNCT
ejpam-6921	27	1	the	the	DET
ejpam-6921	27	2	authors	author	NOUN
ejpam-6921	27	3	established	establish	VERB
ejpam-6921	27	4	appropriate	appropriate	ADJ
ejpam-6921	27	5	duality	duality	NOUN
ejpam-6921	27	6	theorems	theorem	NOUN
ejpam-6921	27	7	for	for	ADP
ejpam-6921	27	8	these	these	DET
ejpam-6921	27	9	problems	problem	NOUN
ejpam-6921	27	10	,	,	PUNCT
ejpam-6921	27	11	contributing	contribute	VERB
ejpam-6921	27	12	to	to	ADP
ejpam-6921	27	13	the	the	DET
ejpam-6921	27	14	development	development	NOUN
ejpam-6921	27	15	of	of	ADP
ejpam-6921	27	16	duality	duality	NOUN
ejpam-6921	27	17	theory	theory	NOUN
ejpam-6921	27	18	in	in	ADP
ejpam-6921	27	19	optimization	optimization	NOUN
ejpam-6921	27	20	.	.	PUNCT
ejpam-6921	28	1	in	in	ADP
ejpam-6921	28	2	his	his	PRON
ejpam-6921	28	3	works	work	NOUN
ejpam-6921	28	4	,	,	PUNCT
ejpam-6921	28	5	chen	chen	PROPN
ejpam-6921	29	1	[	[	X
ejpam-6921	29	2	7	7	NUM
ejpam-6921	29	3	,	,	PUNCT
ejpam-6921	29	4	8	8	NUM
ejpam-6921	29	5	]	]	PUNCT
ejpam-6921	29	6	stated	state	VERB
ejpam-6921	29	7	a	a	DET
ejpam-6921	29	8	pair	pair	NOUN
ejpam-6921	29	9	of	of	ADP
ejpam-6921	29	10	multiple	multiple	ADJ
ejpam-6921	29	11	-	-	PUNCT
ejpam-6921	29	12	objective	objective	ADJ
ejpam-6921	29	13	variational	variational	ADJ
ejpam-6921	29	14	mixed	mixed	ADJ
ejpam-6921	29	15	integer	integer	NOUN
ejpam-6921	29	16	models	model	NOUN
ejpam-6921	29	17	over	over	ADP
ejpam-6921	29	18	cones	cone	NOUN
ejpam-6921	29	19	and	and	CCONJ
ejpam-6921	29	20	establishes	establish	VERB
ejpam-6921	29	21	duality	duality	NOUN
ejpam-6921	29	22	theorems	theorem	NOUN
ejpam-6921	29	23	under	under	ADP
ejpam-6921	29	24	separability	separability	NOUN
ejpam-6921	29	25	and	and	CCONJ
ejpam-6921	29	26	partialinvexity	partialinvexity	NOUN
ejpam-6921	29	27	assumptions	assumption	NOUN
ejpam-6921	29	28	.	.	PUNCT
ejpam-6921	30	1	the	the	DET
ejpam-6921	30	2	study	study	NOUN
ejpam-6921	30	3	provided	provide	VERB
ejpam-6921	30	4	weak	weak	ADJ
ejpam-6921	30	5	,	,	PUNCT
ejpam-6921	30	6	strong	strong	ADJ
ejpam-6921	30	7	,	,	PUNCT
ejpam-6921	30	8	converse	converse	NOUN
ejpam-6921	30	9	,	,	PUNCT
ejpam-6921	30	10	and	and	CCONJ
ejpam-6921	30	11	self	self	NOUN
ejpam-6921	30	12	-	-	PUNCT
ejpam-6921	30	13	duality	duality	NOUN
ejpam-6921	30	14	results	result	NOUN
ejpam-6921	30	15	related	relate	VERB
ejpam-6921	30	16	to	to	ADP
ejpam-6921	30	17	efficient	efficient	ADJ
ejpam-6921	30	18	solutions	solution	NOUN
ejpam-6921	30	19	.	.	PUNCT
ejpam-6921	31	1	craven	craven	NOUN
ejpam-6921	32	1	[	[	X
ejpam-6921	32	2	9	9	NUM
ejpam-6921	32	3	]	]	PUNCT
ejpam-6921	32	4	explored	explore	VERB
ejpam-6921	32	5	the	the	DET
ejpam-6921	32	6	relationship	relationship	NOUN
ejpam-6921	32	7	between	between	ADP
ejpam-6921	32	8	lagrange	lagrange	NOUN
ejpam-6921	32	9	multipliers	multiplier	NOUN
ejpam-6921	32	10	and	and	CCONJ
ejpam-6921	32	11	quasiduality	quasiduality	NOUN
ejpam-6921	32	12	in	in	ADP
ejpam-6921	32	13	optimization	optimization	NOUN
ejpam-6921	32	14	problems	problem	NOUN
ejpam-6921	32	15	.	.	PUNCT
ejpam-6921	33	1	he	he	PRON
ejpam-6921	33	2	provided	provide	VERB
ejpam-6921	33	3	conditions	condition	NOUN
ejpam-6921	33	4	under	under	ADP
ejpam-6921	33	5	which	which	PRON
ejpam-6921	33	6	lagrange	lagrange	NOUN
ejpam-6921	33	7	multipliers	multiplier	NOUN
ejpam-6921	33	8	exist	exist	VERB
ejpam-6921	33	9	and	and	CCONJ
ejpam-6921	33	10	satisfy	satisfy	VERB
ejpam-6921	33	11	certain	certain	ADJ
ejpam-6921	33	12	optimality	optimality	NOUN
ejpam-6921	33	13	conditions	condition	NOUN
ejpam-6921	33	14	,	,	PUNCT
ejpam-6921	33	15	contributing	contribute	VERB
ejpam-6921	33	16	to	to	ADP
ejpam-6921	33	17	the	the	DET
ejpam-6921	33	18	understanding	understanding	NOUN
ejpam-6921	33	19	of	of	ADP
ejpam-6921	33	20	quasiduality	quasiduality	NOUN
ejpam-6921	33	21	in	in	ADP
ejpam-6921	33	22	optimization	optimization	NOUN
ejpam-6921	33	23	theory	theory	NOUN
ejpam-6921	33	24	.	.	PUNCT
ejpam-6921	34	1	dantzig	dantzig	VERB
ejpam-6921	34	2	et	et	PROPN
ejpam-6921	34	3	al	al	PROPN
ejpam-6921	34	4	.	.	PUNCT
ejpam-6921	35	1	[	[	X
ejpam-6921	35	2	10	10	NUM
ejpam-6921	35	3	]	]	PUNCT
ejpam-6921	35	4	introduced	introduce	VERB
ejpam-6921	35	5	a	a	DET
ejpam-6921	35	6	symmetric	symmetric	ADJ
ejpam-6921	35	7	duality	duality	NOUN
ejpam-6921	35	8	framework	framework	NOUN
ejpam-6921	35	9	for	for	ADP
ejpam-6921	35	10	nonlinear	nonlinear	ADJ
ejpam-6921	35	11	programming	programming	NOUN
ejpam-6921	35	12	problems	problem	NOUN
ejpam-6921	35	13	,	,	PUNCT
ejpam-6921	35	14	extending	extend	VERB
ejpam-6921	35	15	classical	classical	ADJ
ejpam-6921	35	16	duality	duality	NOUN
ejpam-6921	35	17	concepts	concept	NOUN
ejpam-6921	35	18	to	to	ADP
ejpam-6921	35	19	a	a	DET
ejpam-6921	35	20	broader	broad	ADJ
ejpam-6921	35	21	class	class	NOUN
ejpam-6921	35	22	of	of	ADP
ejpam-6921	35	23	problems	problem	NOUN
ejpam-6921	35	24	.	.	PUNCT
ejpam-6921	36	1	das	das	PROPN
ejpam-6921	36	2	et	et	PROPN
ejpam-6921	36	3	al	al	PROPN
ejpam-6921	36	4	.	.	PUNCT
ejpam-6921	37	1	[	[	X
ejpam-6921	37	2	11	11	NUM
ejpam-6921	37	3	]	]	X
ejpam-6921	37	4	extended	extend	VERB
ejpam-6921	37	5	classical	classical	ADJ
ejpam-6921	37	6	duality	duality	NOUN
ejpam-6921	37	7	theories	theory	NOUN
ejpam-6921	37	8	to	to	PART
ejpam-6921	37	9	set	set	VERB
ejpam-6921	37	10	-	-	PUNCT
ejpam-6921	37	11	valued	value	VERB
ejpam-6921	37	12	fractional	fractional	ADJ
ejpam-6921	37	13	minimax	minimax	NOUN
ejpam-6921	37	14	programming	programming	NOUN
ejpam-6921	37	15	problems	problem	NOUN
ejpam-6921	37	16	by	by	ADP
ejpam-6921	37	17	employing	employ	VERB
ejpam-6921	37	18	second	second	ADJ
ejpam-6921	37	19	-	-	PUNCT
ejpam-6921	37	20	order	order	NOUN
ejpam-6921	37	21	contingent	contingent	ADJ
ejpam-6921	37	22	epi	epi	NOUN
ejpam-6921	37	23	-	-	NOUN
ejpam-6921	37	24	derivatives	derivative	NOUN
ejpam-6921	37	25	.	.	PUNCT
ejpam-6921	38	1	dorn	dorn	NOUN
ejpam-6921	38	2	[	[	X
ejpam-6921	38	3	12	12	NUM
ejpam-6921	38	4	]	]	PUNCT
ejpam-6921	38	5	addressed	address	VERB
ejpam-6921	38	6	duality	duality	NOUN
ejpam-6921	38	7	theory	theory	NOUN
ejpam-6921	38	8	specifically	specifically	ADV
ejpam-6921	38	9	for	for	ADP
ejpam-6921	38	10	quadratic	quadratic	ADJ
ejpam-6921	38	11	programming	programming	NOUN
ejpam-6921	38	12	problems	problem	NOUN
ejpam-6921	38	13	,	,	PUNCT
ejpam-6921	38	14	which	which	PRON
ejpam-6921	38	15	involve	involve	VERB
ejpam-6921	38	16	optimizing	optimize	VERB
ejpam-6921	38	17	a	a	DET
ejpam-6921	38	18	quadratic	quadratic	ADJ
ejpam-6921	38	19	objective	objective	ADJ
ejpam-6921	38	20	function	function	NOUN
ejpam-6921	38	21	subject	subject	ADJ
ejpam-6921	38	22	to	to	ADP
ejpam-6921	38	23	linear	linear	ADJ
ejpam-6921	38	24	constraints	constraint	NOUN
ejpam-6921	38	25	.	.	PUNCT
ejpam-6921	39	1	gulati	gulati	PROPN
ejpam-6921	39	2	et	et	PROPN
ejpam-6921	39	3	al	al	PROPN
ejpam-6921	39	4	.	.	PUNCT
ejpam-6921	40	1	[	[	X
ejpam-6921	40	2	13	13	NUM
ejpam-6921	40	3	]	]	PUNCT
ejpam-6921	40	4	extended	extend	VERB
ejpam-6921	40	5	the	the	DET
ejpam-6921	40	6	concept	concept	NOUN
ejpam-6921	40	7	of	of	ADP
ejpam-6921	40	8	symmetric	symmetric	ADJ
ejpam-6921	40	9	duality	duality	NOUN
ejpam-6921	40	10	to	to	PART
ejpam-6921	40	11	minimax	minimax	VERB
ejpam-6921	40	12	variational	variational	ADJ
ejpam-6921	40	13	problems	problem	NOUN
ejpam-6921	40	14	,	,	PUNCT
ejpam-6921	40	15	providing	provide	VERB
ejpam-6921	40	16	a	a	DET
ejpam-6921	40	17	dynamic	dynamic	ADJ
ejpam-6921	40	18	generalization	generalization	NOUN
ejpam-6921	40	19	of	of	ADP
ejpam-6921	40	20	symmetric	symmetric	ADJ
ejpam-6921	40	21	and	and	CCONJ
ejpam-6921	40	22	selfduality	selfduality	NOUN
ejpam-6921	40	23	theorems	theorem	NOUN
ejpam-6921	40	24	in	in	ADP
ejpam-6921	40	25	nonlinear	nonlinear	ADJ
ejpam-6921	40	26	mixed	mixed	ADJ
ejpam-6921	40	27	integer	integer	NOUN
ejpam-6921	40	28	programming	programming	NOUN
ejpam-6921	40	29	.	.	PUNCT
ejpam-6921	41	1	guo	guo	PROPN
ejpam-6921	41	2	et	et	PROPN
ejpam-6921	41	3	al	al	PROPN
ejpam-6921	41	4	.	.	PUNCT
ejpam-6921	42	1	[	[	X
ejpam-6921	42	2	14	14	NUM
ejpam-6921	42	3	,	,	PUNCT
ejpam-6921	42	4	15	15	NUM
ejpam-6921	42	5	]	]	PUNCT
ejpam-6921	42	6	introduced	introduce	VERB
ejpam-6921	42	7	symmetric	symmetric	ADJ
ejpam-6921	42	8	gh	gh	PROPN
ejpam-6921	42	9	-	-	PUNCT
ejpam-6921	42	10	derivative	derivative	PROPN
ejpam-6921	42	11	and	and	CCONJ
ejpam-6921	42	12	formulated	formulate	VERB
ejpam-6921	42	13	a	a	DET
ejpam-6921	42	14	duality	duality	NOUN
ejpam-6921	42	15	theory	theory	NOUN
ejpam-6921	42	16	in	in	ADP
ejpam-6921	42	17	interval	interval	NOUN
ejpam-6921	42	18	optimization	optimization	NOUN
ejpam-6921	42	19	.	.	PUNCT
ejpam-6921	43	1	jayswal	jayswal	PROPN
ejpam-6921	43	2	et	et	PROPN
ejpam-6921	43	3	al	al	PROPN
ejpam-6921	43	4	.	.	PUNCT
ejpam-6921	44	1	[	[	X
ejpam-6921	44	2	16	16	NUM
ejpam-6921	44	3	]	]	PUNCT
ejpam-6921	44	4	delved	delve	VERB
ejpam-6921	44	5	into	into	ADP
ejpam-6921	44	6	the	the	DET
ejpam-6921	44	7	duality	duality	NOUN
ejpam-6921	44	8	theory	theory	NOUN
ejpam-6921	44	9	of	of	ADP
ejpam-6921	44	10	multi	multi	ADJ
ejpam-6921	44	11	-	-	ADJ
ejpam-6921	44	12	dimensional	dimensional	ADJ
ejpam-6921	44	13	variational	variational	ADJ
ejpam-6921	44	14	control	control	NOUN
ejpam-6921	44	15	problems	problem	NOUN
ejpam-6921	44	16	under	under	ADP
ejpam-6921	44	17	data	datum	NOUN
ejpam-6921	44	18	uncertainty	uncertainty	NOUN
ejpam-6921	44	19	.	.	PUNCT
ejpam-6921	45	1	the	the	DET
ejpam-6921	45	2	authors	author	NOUN
ejpam-6921	45	3	formulated	formulate	VERB
ejpam-6921	45	4	robust	robust	ADJ
ejpam-6921	45	5	dual	dual	ADJ
ejpam-6921	45	6	models	model	NOUN
ejpam-6921	45	7	,	,	PUNCT
ejpam-6921	45	8	including	include	VERB
ejpam-6921	45	9	wolfe	wolfe	PROPN
ejpam-6921	45	10	-	-	PUNCT
ejpam-6921	45	11	type	type	NOUN
ejpam-6921	45	12	and	and	CCONJ
ejpam-6921	45	13	mond	mond	NOUN
ejpam-6921	45	14	-	-	PUNCT
ejpam-6921	45	15	weir	weir	NOUN
ejpam-6921	45	16	-	-	PUNCT
ejpam-6921	45	17	type	type	NOUN
ejpam-6921	45	18	dual	dual	ADJ
ejpam-6921	45	19	problems	problem	NOUN
ejpam-6921	45	20	,	,	PUNCT
ejpam-6921	45	21	and	and	CCONJ
ejpam-6921	45	22	established	establish	VERB
ejpam-6921	45	23	duality	duality	NOUN
ejpam-6921	45	24	results	result	NOUN
ejpam-6921	45	25	under	under	ADP
ejpam-6921	45	26	generalized	generalized	ADJ
ejpam-6921	45	27	convexity	convexity	NOUN
ejpam-6921	45	28	assumptions	assumption	NOUN
ejpam-6921	45	29	.	.	PUNCT
ejpam-6921	46	1	the	the	DET
ejpam-6921	46	2	study	study	NOUN
ejpam-6921	46	3	provided	provide	VERB
ejpam-6921	46	4	a	a	DET
ejpam-6921	46	5	comprehensive	comprehensive	ADJ
ejpam-6921	46	6	analysis	analysis	NOUN
ejpam-6921	46	7	of	of	ADP
ejpam-6921	46	8	robust	robust	ADJ
ejpam-6921	46	9	duality	duality	NOUN
ejpam-6921	46	10	in	in	ADP
ejpam-6921	46	11	the	the	DET
ejpam-6921	46	12	context	context	NOUN
ejpam-6921	46	13	of	of	ADP
ejpam-6921	46	14	variational	variational	ADJ
ejpam-6921	46	15	control	control	NOUN
ejpam-6921	46	16	problems	problem	NOUN
ejpam-6921	46	17	with	with	ADP
ejpam-6921	46	18	data	datum	NOUN
ejpam-6921	46	19	uncertainty	uncertainty	NOUN
ejpam-6921	46	20	.	.	PUNCT
ejpam-6921	47	1	kim	kim	PROPN
ejpam-6921	47	2	and	and	CCONJ
ejpam-6921	47	3	lee	lee	PROPN
ejpam-6921	48	1	[	[	X
ejpam-6921	48	2	17	17	NUM
ejpam-6921	48	3	]	]	PUNCT
ejpam-6921	48	4	extended	extend	VERB
ejpam-6921	48	5	the	the	DET
ejpam-6921	48	6	classical	classical	ADJ
ejpam-6921	48	7	duality	duality	NOUN
ejpam-6921	48	8	theory	theory	NOUN
ejpam-6921	48	9	to	to	ADP
ejpam-6921	48	10	multiobjective	multiobjective	ADJ
ejpam-6921	48	11	variational	variational	ADJ
ejpam-6921	48	12	problems	problem	NOUN
ejpam-6921	48	13	by	by	ADP
ejpam-6921	48	14	introducing	introduce	VERB
ejpam-6921	48	15	a	a	DET
ejpam-6921	48	16	symmetric	symmetric	ADJ
ejpam-6921	48	17	duality	duality	NOUN
ejpam-6921	48	18	framework	framework	NOUN
ejpam-6921	48	19	under	under	ADP
ejpam-6921	48	20	invexity	invexity	NOUN
ejpam-6921	48	21	conditions	condition	NOUN
ejpam-6921	48	22	.	.	PUNCT
ejpam-6921	49	1	the	the	DET
ejpam-6921	49	2	authors	author	NOUN
ejpam-6921	49	3	formulated	formulate	VERB
ejpam-6921	49	4	dual	dual	ADJ
ejpam-6921	49	5	pairs	pair	NOUN
ejpam-6921	49	6	for	for	ADP
ejpam-6921	49	7	vector	vector	NOUN
ejpam-6921	49	8	problems	problem	NOUN
ejpam-6921	49	9	and	and	CCONJ
ejpam-6921	49	10	proved	prove	VERB
ejpam-6921	49	11	duality	duality	NOUN
ejpam-6921	49	12	results	result	NOUN
ejpam-6921	49	13	under	under	ADP
ejpam-6921	49	14	generalized	generalized	ADJ
ejpam-6921	49	15	invexity	invexity	NOUN
ejpam-6921	49	16	assumptions	assumption	NOUN
ejpam-6921	49	17	.	.	PUNCT
ejpam-6921	50	1	these	these	DET
ejpam-6921	50	2	results	result	NOUN
ejpam-6921	50	3	provided	provide	VERB
ejpam-6921	50	4	a	a	DET
ejpam-6921	50	5	unified	unified	ADJ
ejpam-6921	50	6	approach	approach	NOUN
ejpam-6921	50	7	to	to	ADP
ejpam-6921	50	8	analyzing	analyze	VERB
ejpam-6921	50	9	multiobjective	multiobjective	ADJ
ejpam-6921	50	10	variational	variational	ADJ
ejpam-6921	50	11	problems	problem	NOUN
ejpam-6921	50	12	and	and	CCONJ
ejpam-6921	50	13	contributed	contribute	VERB
ejpam-6921	50	14	to	to	ADP
ejpam-6921	50	15	the	the	DET
ejpam-6921	50	16	development	development	NOUN
ejpam-6921	50	17	of	of	ADP
ejpam-6921	50	18	duality	duality	NOUN
ejpam-6921	50	19	theory	theory	NOUN
ejpam-6921	50	20	in	in	ADP
ejpam-6921	50	21	optimization	optimization	NOUN
ejpam-6921	50	22	.	.	PUNCT
ejpam-6921	51	1	mond	mond	NOUN
ejpam-6921	51	2	and	and	CCONJ
ejpam-6921	51	3	hanson	hanson	NOUN
ejpam-6921	52	1	[	[	X
ejpam-6921	52	2	18	18	NUM
ejpam-6921	52	3	]	]	PUNCT
ejpam-6921	52	4	derived	derive	VERB
ejpam-6921	52	5	duality	duality	NOUN
ejpam-6921	52	6	theorems	theorem	NOUN
ejpam-6921	52	7	under	under	ADP
ejpam-6921	52	8	certain	certain	ADJ
ejpam-6921	52	9	convexity	convexity	NOUN
ejpam-6921	52	10	and	and	CCONJ
ejpam-6921	52	11	concavity	concavity	NOUN
ejpam-6921	52	12	conditions	condition	NOUN
ejpam-6921	52	13	,	,	PUNCT
ejpam-6921	52	14	providing	provide	VERB
ejpam-6921	52	15	necessary	necessary	ADJ
ejpam-6921	52	16	and	and	CCONJ
ejpam-6921	52	17	sufficient	sufficient	ADJ
ejpam-6921	52	18	optimality	optimality	NOUN
ejpam-6921	52	19	conditions	condition	NOUN
ejpam-6921	52	20	for	for	ADP
ejpam-6921	52	21	the	the	DET
ejpam-6921	52	22	primal	primal	ADJ
ejpam-6921	52	23	and	and	CCONJ
ejpam-6921	52	24	dual	dual	ADJ
ejpam-6921	52	25	problems	problem	NOUN
ejpam-6921	52	26	.	.	PUNCT
ejpam-6921	53	1	recently	recently	ADV
ejpam-6921	53	2	,	,	PUNCT
ejpam-6921	53	3	prasad	prasad	PROPN
ejpam-6921	53	4	et	et	PROPN
ejpam-6921	53	5	al	al	PROPN
ejpam-6921	53	6	.	.	PUNCT
ejpam-6921	54	1	[	[	X
ejpam-6921	54	2	19	19	NUM
ejpam-6921	54	3	]	]	PUNCT
ejpam-6921	54	4	formulated	formulated	ADJ
ejpam-6921	54	5	optimality	optimality	NOUN
ejpam-6921	54	6	conditions	condition	NOUN
ejpam-6921	54	7	for	for	ADP
ejpam-6921	54	8	an	an	DET
ejpam-6921	54	9	interval	interval	NOUN
ejpam-6921	54	10	-	-	PUNCT
ejpam-6921	54	11	valued	value	VERB
ejpam-6921	54	12	vector	vector	NOUN
ejpam-6921	54	13	problem	problem	NOUN
ejpam-6921	54	14	.	.	PUNCT
ejpam-6921	55	1	saeed	saeed	NOUN
ejpam-6921	55	2	and	and	CCONJ
ejpam-6921	55	3	treanţă	treanţă	ADJ
ejpam-6921	56	1	[	[	X
ejpam-6921	56	2	20	20	NUM
ejpam-6921	56	3	]	]	PUNCT
ejpam-6921	56	4	employed	employ	VERB
ejpam-6921	56	5	the	the	DET
ejpam-6921	56	6	concept	concept	NOUN
ejpam-6921	56	7	of	of	ADP
ejpam-6921	56	8	convex	convex	ADJ
ejpam-6921	56	9	multiple	multiple	ADJ
ejpam-6921	56	10	integral	integral	ADJ
ejpam-6921	56	11	functionals	functional	NOUN
ejpam-6921	56	12	,	,	PUNCT
ejpam-6921	56	13	and	and	CCONJ
ejpam-6921	56	14	the	the	DET
ejpam-6921	56	15	notion	notion	NOUN
ejpam-6921	56	16	of	of	ADP
ejpam-6921	56	17	robust	robust	ADJ
ejpam-6921	56	18	weak	weak	ADJ
ejpam-6921	56	19	efficient	efficient	ADJ
ejpam-6921	56	20	solutions	solution	NOUN
ejpam-6921	56	21	to	to	PART
ejpam-6921	56	22	develop	develop	VERB
ejpam-6921	56	23	a	a	DET
ejpam-6921	56	24	new	new	ADJ
ejpam-6921	56	25	mathematical	mathematical	ADJ
ejpam-6921	56	26	context	context	NOUN
ejpam-6921	56	27	for	for	ADP
ejpam-6921	56	28	stating	state	VERB
ejpam-6921	56	29	and	and	CCONJ
ejpam-6921	56	30	proving	prove	VERB
ejpam-6921	56	31	the	the	DET
ejpam-6921	56	32	duality	duality	NOUN
ejpam-6921	56	33	theorems	theorem	NOUN
ejpam-6921	56	34	.	.	PUNCT
ejpam-6921	57	1	schaible	schaible	ADJ
ejpam-6921	58	1	[	[	X
ejpam-6921	58	2	21–23	21–23	X
ejpam-6921	58	3	]	]	PUNCT
ejpam-6921	58	4	presented	present	VERB
ejpam-6921	58	5	a	a	DET
ejpam-6921	58	6	unified	unified	ADJ
ejpam-6921	58	7	t.	t.	PROPN
ejpam-6921	58	8	saeed	saeed	PROPN
ejpam-6921	58	9	,	,	PUNCT
ejpam-6921	58	10	s.	s.	PROPN
ejpam-6921	58	11	treanţă	treanţă	PROPN
ejpam-6921	58	12	/	/	SYM
ejpam-6921	58	13	eur	eur	PROPN
ejpam-6921	58	14	.	.	PUNCT
ejpam-6921	59	1	j.	j.	PROPN
ejpam-6921	59	2	pure	pure	PROPN
ejpam-6921	59	3	appl	appl	PROPN
ejpam-6921	59	4	.	.	PROPN
ejpam-6921	59	5	math	math	PROPN
ejpam-6921	59	6	,	,	PUNCT
ejpam-6921	59	7	18	18	NUM
ejpam-6921	59	8	(	(	PUNCT
ejpam-6921	59	9	4	4	NUM
ejpam-6921	59	10	)	)	PUNCT
ejpam-6921	59	11	(	(	PUNCT
ejpam-6921	59	12	2025	2025	NUM
ejpam-6921	59	13	)	)	PUNCT
ejpam-6921	59	14	,	,	PUNCT
ejpam-6921	59	15	6921	6921	NUM
ejpam-6921	59	16	3	3	NUM
ejpam-6921	59	17	of	of	ADP
ejpam-6921	59	18	14	14	NUM
ejpam-6921	59	19	method	method	NOUN
ejpam-6921	59	20	for	for	ADP
ejpam-6921	59	21	obtaining	obtain	VERB
ejpam-6921	59	22	duality	duality	NOUN
ejpam-6921	59	23	results	result	NOUN
ejpam-6921	59	24	for	for	ADP
ejpam-6921	59	25	concave	concave	ADJ
ejpam-6921	59	26	-	-	PUNCT
ejpam-6921	59	27	convex	convex	ADJ
ejpam-6921	59	28	fractional	fractional	ADJ
ejpam-6921	59	29	programs	program	NOUN
ejpam-6921	59	30	by	by	ADP
ejpam-6921	59	31	transforming	transform	VERB
ejpam-6921	59	32	the	the	DET
ejpam-6921	59	33	original	original	ADJ
ejpam-6921	59	34	nonconvex	nonconvex	NOUN
ejpam-6921	59	35	programming	programming	NOUN
ejpam-6921	59	36	problem	problem	NOUN
ejpam-6921	59	37	into	into	ADP
ejpam-6921	59	38	an	an	DET
ejpam-6921	59	39	equivalent	equivalent	ADJ
ejpam-6921	59	40	convex	convex	NOUN
ejpam-6921	59	41	program	program	NOUN
ejpam-6921	59	42	.	.	PUNCT
ejpam-6921	60	1	the	the	DET
ejpam-6921	60	2	papers	paper	NOUN
ejpam-6921	60	3	related	relate	VERB
ejpam-6921	60	4	known	know	VERB
ejpam-6921	60	5	results	result	NOUN
ejpam-6921	60	6	by	by	ADP
ejpam-6921	60	7	several	several	ADJ
ejpam-6921	60	8	authors	author	NOUN
ejpam-6921	60	9	and	and	CCONJ
ejpam-6921	60	10	proved	prove	VERB
ejpam-6921	60	11	additional	additional	ADJ
ejpam-6921	60	12	duality	duality	NOUN
ejpam-6921	60	13	theorems	theorem	NOUN
ejpam-6921	60	14	,	,	PUNCT
ejpam-6921	60	15	including	include	VERB
ejpam-6921	60	16	converse	converse	NOUN
ejpam-6921	60	17	duality	duality	NOUN
ejpam-6921	60	18	theorems	theorem	NOUN
ejpam-6921	60	19	for	for	ADP
ejpam-6921	60	20	nondifferentiable	nondifferentiable	ADJ
ejpam-6921	60	21	and	and	CCONJ
ejpam-6921	60	22	quadratic	quadratic	ADJ
ejpam-6921	60	23	fractional	fractional	ADJ
ejpam-6921	60	24	programs	program	NOUN
ejpam-6921	60	25	.	.	PUNCT
ejpam-6921	61	1	shi	shi	PROPN
ejpam-6921	61	2	et	et	PROPN
ejpam-6921	61	3	al	al	PROPN
ejpam-6921	61	4	.	.	PUNCT
ejpam-6921	62	1	[	[	X
ejpam-6921	62	2	24	24	NUM
ejpam-6921	62	3	]	]	PUNCT
ejpam-6921	62	4	investigated	investigate	VERB
ejpam-6921	62	5	a	a	DET
ejpam-6921	62	6	lagrange	lagrange	NOUN
ejpam-6921	62	7	-	-	PUNCT
ejpam-6921	62	8	type	type	NOUN
ejpam-6921	62	9	dual	dual	ADJ
ejpam-6921	62	10	theory	theory	NOUN
ejpam-6921	62	11	associated	associate	VERB
ejpam-6921	62	12	with	with	ADP
ejpam-6921	62	13	a	a	DET
ejpam-6921	62	14	fuzzy	fuzzy	ADJ
ejpam-6921	62	15	optimization	optimization	NOUN
ejpam-6921	62	16	model	model	NOUN
ejpam-6921	62	17	involving	involve	VERB
ejpam-6921	62	18	mixed	mixed	ADJ
ejpam-6921	62	19	constraints	constraint	NOUN
ejpam-6921	62	20	.	.	PUNCT
ejpam-6921	63	1	smart	smart	ADJ
ejpam-6921	63	2	and	and	CCONJ
ejpam-6921	63	3	mond	mond	NOUN
ejpam-6921	64	1	[	[	X
ejpam-6921	64	2	25	25	NUM
ejpam-6921	64	3	]	]	PUNCT
ejpam-6921	64	4	investigated	investigate	VERB
ejpam-6921	64	5	multiobjective	multiobjective	ADJ
ejpam-6921	64	6	variational	variational	ADJ
ejpam-6921	64	7	problems	problem	NOUN
ejpam-6921	64	8	-optimization	-optimization	NOUN
ejpam-6921	64	9	problems	problem	NOUN
ejpam-6921	64	10	defined	define	VERB
ejpam-6921	64	11	over	over	ADP
ejpam-6921	64	12	functionswhere	functionswhere	PROPN
ejpam-6921	64	13	multiple	multiple	ADJ
ejpam-6921	64	14	objective	objective	ADJ
ejpam-6921	64	15	functionals	functional	NOUN
ejpam-6921	64	16	are	be	AUX
ejpam-6921	64	17	considered	consider	VERB
ejpam-6921	64	18	simultaneously	simultaneously	ADV
ejpam-6921	64	19	.	.	PUNCT
ejpam-6921	65	1	this	this	DET
ejpam-6921	65	2	multiobjective	multiobjective	ADJ
ejpam-6921	65	3	nature	nature	NOUN
ejpam-6921	65	4	required	require	VERB
ejpam-6921	65	5	optimization	optimization	NOUN
ejpam-6921	65	6	under	under	ADP
ejpam-6921	65	7	a	a	DET
ejpam-6921	65	8	partial	partial	ADJ
ejpam-6921	65	9	ordering	ordering	NOUN
ejpam-6921	65	10	(	(	PUNCT
ejpam-6921	65	11	e.g.	e.g.	ADV
ejpam-6921	65	12	,	,	PUNCT
ejpam-6921	65	13	pareto	pareto	ADJ
ejpam-6921	65	14	optimality	optimality	NOUN
ejpam-6921	65	15	)	)	PUNCT
ejpam-6921	65	16	.	.	PUNCT
ejpam-6921	66	1	sun	sun	PROPN
ejpam-6921	66	2	et	et	PROPN
ejpam-6921	66	3	al	al	PROPN
ejpam-6921	66	4	.	.	PUNCT
ejpam-6921	67	1	[	[	X
ejpam-6921	67	2	26	26	NUM
ejpam-6921	67	3	]	]	PUNCT
ejpam-6921	67	4	introduced	introduce	VERB
ejpam-6921	67	5	a	a	DET
ejpam-6921	67	6	mixed	mixed	ADJ
ejpam-6921	67	7	-	-	PUNCT
ejpam-6921	67	8	type	type	NOUN
ejpam-6921	67	9	robust	robust	ADJ
ejpam-6921	67	10	dual	dual	ADJ
ejpam-6921	67	11	problem	problem	NOUN
ejpam-6921	67	12	for	for	ADP
ejpam-6921	67	13	optimization	optimization	NOUN
ejpam-6921	67	14	models	model	NOUN
ejpam-6921	67	15	subject	subject	ADJ
ejpam-6921	67	16	to	to	ADP
ejpam-6921	67	17	uncertainty	uncertainty	NOUN
ejpam-6921	67	18	in	in	ADP
ejpam-6921	67	19	both	both	DET
ejpam-6921	67	20	objective	objective	ADJ
ejpam-6921	67	21	functions	function	NOUN
ejpam-6921	67	22	and	and	CCONJ
ejpam-6921	67	23	constraints	constraint	NOUN
ejpam-6921	67	24	.	.	PUNCT
ejpam-6921	68	1	this	this	DET
ejpam-6921	68	2	framework	framework	NOUN
ejpam-6921	68	3	generalized	generalize	VERB
ejpam-6921	68	4	classical	classical	ADJ
ejpam-6921	68	5	duality	duality	NOUN
ejpam-6921	68	6	to	to	ADP
ejpam-6921	68	7	the	the	DET
ejpam-6921	68	8	robust	robust	ADJ
ejpam-6921	68	9	setting	setting	NOUN
ejpam-6921	68	10	.	.	PUNCT
ejpam-6921	69	1	treanţă	treanţă	INTJ
ejpam-6921	69	2	et	et	PROPN
ejpam-6921	69	3	al	al	PROPN
ejpam-6921	69	4	.	.	PUNCT
ejpam-6921	70	1	[	[	X
ejpam-6921	70	2	27	27	NUM
ejpam-6921	70	3	,	,	PUNCT
ejpam-6921	70	4	28	28	NUM
ejpam-6921	70	5	]	]	PUNCT
ejpam-6921	70	6	introduced	introduce	VERB
ejpam-6921	70	7	a	a	DET
ejpam-6921	70	8	new	new	ADJ
ejpam-6921	70	9	class	class	NOUN
ejpam-6921	70	10	of	of	ADP
ejpam-6921	70	11	constrained	constrain	VERB
ejpam-6921	70	12	robust	robust	ADJ
ejpam-6921	70	13	nonlinear	nonlinear	ADJ
ejpam-6921	70	14	optimization	optimization	NOUN
ejpam-6921	70	15	problems	problem	NOUN
ejpam-6921	70	16	characterized	characterize	VERB
ejpam-6921	70	17	by	by	ADP
ejpam-6921	70	18	:	:	PUNCT
ejpam-6921	70	19	(	(	PUNCT
ejpam-6921	70	20	1	1	X
ejpam-6921	70	21	)	)	PUNCT
ejpam-6921	70	22	objective	objective	ADJ
ejpam-6921	70	23	functionals	functional	NOUN
ejpam-6921	70	24	defined	define	VERB
ejpam-6921	70	25	via	via	ADP
ejpam-6921	70	26	path	path	NOUN
ejpam-6921	70	27	-	-	PUNCT
ejpam-6921	70	28	independent	independent	ADJ
ejpam-6921	70	29	curvilinear	curvilinear	NOUN
ejpam-6921	70	30	integrals	integral	NOUN
ejpam-6921	70	31	,	,	PUNCT
ejpam-6921	70	32	derived	derive	VERB
ejpam-6921	70	33	from	from	ADP
ejpam-6921	70	34	controlled	control	VERB
ejpam-6921	70	35	second	second	ADJ
ejpam-6921	70	36	-	-	PUNCT
ejpam-6921	70	37	order	order	NOUN
ejpam-6921	70	38	lagrangians	lagrangian	NOUN
ejpam-6921	70	39	with	with	ADP
ejpam-6921	70	40	uncertain	uncertain	ADJ
ejpam-6921	70	41	data	datum	NOUN
ejpam-6921	70	42	,	,	PUNCT
ejpam-6921	70	43	(	(	PUNCT
ejpam-6921	70	44	2	2	X
ejpam-6921	70	45	)	)	PUNCT
ejpam-6921	70	46	mixed	mixed	ADJ
ejpam-6921	70	47	constraints	constraint	NOUN
ejpam-6921	70	48	involving	involve	VERB
ejpam-6921	70	49	second	second	ADJ
ejpam-6921	70	50	-	-	PUNCT
ejpam-6921	70	51	order	order	NOUN
ejpam-6921	70	52	partial	partial	ADJ
ejpam-6921	70	53	derivatives	derivative	NOUN
ejpam-6921	70	54	and	and	CCONJ
ejpam-6921	70	55	embedded	embed	VERB
ejpam-6921	70	56	uncertainty	uncertainty	NOUN
ejpam-6921	70	57	.	.	PUNCT
ejpam-6921	71	1	the	the	DET
ejpam-6921	71	2	paper	paper	NOUN
ejpam-6921	71	3	’s	’s	PART
ejpam-6921	71	4	core	core	NOUN
ejpam-6921	71	5	lied	lie	VERB
ejpam-6921	71	6	in	in	ADP
ejpam-6921	71	7	formulating	formulate	VERB
ejpam-6921	71	8	and	and	CCONJ
ejpam-6921	71	9	analyzing	analyze	VERB
ejpam-6921	71	10	three	three	NUM
ejpam-6921	71	11	types	type	NOUN
ejpam-6921	71	12	of	of	ADP
ejpam-6921	71	13	robust	robust	ADJ
ejpam-6921	71	14	dual	dual	ADJ
ejpam-6921	71	15	optimization	optimization	NOUN
ejpam-6921	71	16	models	model	NOUN
ejpam-6921	71	17	-wolfe	-wolfe	NOUN
ejpam-6921	71	18	-	-	PUNCT
ejpam-6921	71	19	type	type	NOUN
ejpam-6921	71	20	,	,	PUNCT
ejpam-6921	71	21	mond	mond	NOUN
ejpam-6921	71	22	–	–	PUNCT
ejpam-6921	71	23	weir	weir	NOUN
ejpam-6921	71	24	-	-	PUNCT
ejpam-6921	71	25	type	type	NOUN
ejpam-6921	71	26	,	,	PUNCT
ejpam-6921	71	27	and	and	CCONJ
ejpam-6921	71	28	mixed	mix	VERB
ejpam-6921	71	29	-	-	PUNCT
ejpam-6921	71	30	typewithin	typewithin	ADV
ejpam-6921	71	31	this	this	DET
ejpam-6921	71	32	novel	novel	ADJ
ejpam-6921	71	33	robust	robust	ADJ
ejpam-6921	71	34	optimization	optimization	NOUN
ejpam-6921	71	35	context	context	NOUN
ejpam-6921	71	36	.	.	PUNCT
ejpam-6921	72	1	upadhyay	upadhyay	PROPN
ejpam-6921	72	2	et	et	PROPN
ejpam-6921	72	3	al	al	PROPN
ejpam-6921	72	4	.	.	PUNCT
ejpam-6921	73	1	[	[	X
ejpam-6921	73	2	29–31	29–31	PROPN
ejpam-6921	73	3	]	]	PUNCT
ejpam-6921	73	4	investigated	investigate	VERB
ejpam-6921	73	5	semi	semi	ADJ
ejpam-6921	73	6	-	-	ADJ
ejpam-6921	73	7	infinite	infinite	ADJ
ejpam-6921	73	8	programming	programming	NOUN
ejpam-6921	73	9	problems	problem	NOUN
ejpam-6921	73	10	on	on	ADP
ejpam-6921	73	11	hadamard	hadamard	ADJ
ejpam-6921	73	12	manifolds	manifold	NOUN
ejpam-6921	73	13	.	.	PUNCT
ejpam-6921	74	1	yang	yang	PROPN
ejpam-6921	74	2	et	et	PROPN
ejpam-6921	74	3	al	al	PROPN
ejpam-6921	74	4	.	.	PUNCT
ejpam-6921	75	1	[	[	X
ejpam-6921	75	2	32	32	NUM
ejpam-6921	75	3	]	]	PUNCT
ejpam-6921	75	4	addressed	address	VERB
ejpam-6921	75	5	the	the	DET
ejpam-6921	75	6	symmetric	symmetric	ADJ
ejpam-6921	75	7	duality	duality	NOUN
ejpam-6921	75	8	framework	framework	NOUN
ejpam-6921	75	9	for	for	ADP
ejpam-6921	75	10	a	a	DET
ejpam-6921	75	11	class	class	NOUN
ejpam-6921	75	12	of	of	ADP
ejpam-6921	75	13	nondifferentiable	nondifferentiable	ADJ
ejpam-6921	75	14	multiobjective	multiobjective	ADJ
ejpam-6921	75	15	fractional	fractional	ADJ
ejpam-6921	75	16	programming	programming	NOUN
ejpam-6921	75	17	problems	problem	NOUN
ejpam-6921	75	18	(	(	PUNCT
ejpam-6921	75	19	optimization	optimization	NOUN
ejpam-6921	75	20	problems	problem	NOUN
ejpam-6921	75	21	where	where	SCONJ
ejpam-6921	75	22	multiple	multiple	ADJ
ejpam-6921	75	23	fractional	fractional	ADJ
ejpam-6921	75	24	objectives	objective	NOUN
ejpam-6921	75	25	are	be	AUX
ejpam-6921	75	26	optimized	optimize	VERB
ejpam-6921	75	27	without	without	ADP
ejpam-6921	75	28	assuming	assume	VERB
ejpam-6921	75	29	differentiability	differentiability	NOUN
ejpam-6921	75	30	)	)	PUNCT
ejpam-6921	75	31	.	.	PUNCT
ejpam-6921	76	1	in	in	ADP
ejpam-6921	76	2	this	this	DET
ejpam-6921	76	3	paper	paper	NOUN
ejpam-6921	76	4	,	,	PUNCT
ejpam-6921	76	5	the	the	DET
ejpam-6921	76	6	authors	author	NOUN
ejpam-6921	76	7	introduce	introduce	VERB
ejpam-6921	76	8	and	and	CCONJ
ejpam-6921	76	9	investigate	investigate	VERB
ejpam-6921	76	10	a	a	DET
ejpam-6921	76	11	pair	pair	NOUN
ejpam-6921	76	12	of	of	ADP
ejpam-6921	76	13	symmetric	symmetric	ADJ
ejpam-6921	76	14	multidimensional	multidimensional	ADJ
ejpam-6921	76	15	variational	variational	ADJ
ejpam-6921	76	16	fractional	fractional	ADJ
ejpam-6921	76	17	control	control	NOUN
ejpam-6921	76	18	problems	problem	NOUN
ejpam-6921	76	19	.	.	PUNCT
ejpam-6921	77	1	to	to	ADP
ejpam-6921	77	2	this	this	DET
ejpam-6921	77	3	end	end	NOUN
ejpam-6921	77	4	,	,	PUNCT
ejpam-6921	77	5	first	first	ADV
ejpam-6921	77	6	,	,	PUNCT
ejpam-6921	77	7	we	we	PRON
ejpam-6921	77	8	formulate	formulate	VERB
ejpam-6921	77	9	an	an	DET
ejpam-6921	77	10	updated	update	VERB
ejpam-6921	77	11	concept	concept	NOUN
ejpam-6921	77	12	of	of	ADP
ejpam-6921	77	13	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	77	14	associated	associate	VERB
ejpam-6921	77	15	with	with	ADP
ejpam-6921	77	16	multiple	multiple	ADJ
ejpam-6921	77	17	integral	integral	ADJ
ejpam-6921	77	18	type	type	NOUN
ejpam-6921	77	19	functionals	functional	NOUN
ejpam-6921	77	20	.	.	PUNCT
ejpam-6921	78	1	further	far	ADV
ejpam-6921	78	2	,	,	PUNCT
ejpam-6921	78	3	we	we	PRON
ejpam-6921	78	4	establish	establish	VERB
ejpam-6921	78	5	a	a	DET
ejpam-6921	78	6	very	very	ADV
ejpam-6921	78	7	important	important	ADJ
ejpam-6921	78	8	connection	connection	NOUN
ejpam-6921	78	9	(	(	PUNCT
ejpam-6921	78	10	see	see	VERB
ejpam-6921	78	11	theorem	theorem	NOUN
ejpam-6921	78	12	1	1	NUM
ejpam-6921	78	13	)	)	PUNCT
ejpam-6921	78	14	between	between	ADP
ejpam-6921	78	15	the	the	DET
ejpam-6921	78	16	objective	objective	ADJ
ejpam-6921	78	17	functionals	functional	NOUN
ejpam-6921	78	18	of	of	ADP
ejpam-6921	78	19	the	the	DET
ejpam-6921	78	20	studied	study	VERB
ejpam-6921	78	21	symmetric	symmetric	ADJ
ejpam-6921	78	22	models	model	NOUN
ejpam-6921	78	23	.	.	PUNCT
ejpam-6921	79	1	the	the	DET
ejpam-6921	79	2	main	main	ADJ
ejpam-6921	79	3	contributions	contribution	NOUN
ejpam-6921	79	4	associated	associate	VERB
ejpam-6921	79	5	with	with	ADP
ejpam-6921	79	6	this	this	DET
ejpam-6921	79	7	article	article	NOUN
ejpam-6921	79	8	are	be	AUX
ejpam-6921	79	9	:	:	PUNCT
ejpam-6921	79	10	(	(	PUNCT
ejpam-6921	79	11	a	a	X
ejpam-6921	79	12	)	)	PUNCT
ejpam-6921	79	13	the	the	DET
ejpam-6921	79	14	presence	presence	NOUN
ejpam-6921	79	15	of	of	ADP
ejpam-6921	79	16	two	two	NUM
ejpam-6921	79	17	state	state	NOUN
ejpam-6921	79	18	and	and	CCONJ
ejpam-6921	79	19	control	control	NOUN
ejpam-6921	79	20	variables	variable	NOUN
ejpam-6921	79	21	in	in	ADP
ejpam-6921	79	22	the	the	DET
ejpam-6921	79	23	considered	consider	VERB
ejpam-6921	79	24	functionals	functional	NOUN
ejpam-6921	79	25	;	;	PUNCT
ejpam-6921	79	26	(	(	PUNCT
ejpam-6921	79	27	b	b	X
ejpam-6921	79	28	)	)	PUNCT
ejpam-6921	79	29	employing	employ	VERB
ejpam-6921	79	30	the	the	DET
ejpam-6921	79	31	multiple	multiple	ADJ
ejpam-6921	79	32	integrals	integral	NOUN
ejpam-6921	79	33	as	as	ADP
ejpam-6921	79	34	objective	objective	ADJ
ejpam-6921	79	35	functionals	functional	NOUN
ejpam-6921	79	36	;	;	PUNCT
ejpam-6921	79	37	(	(	PUNCT
ejpam-6921	79	38	c	c	X
ejpam-6921	79	39	)	)	PUNCT
ejpam-6921	79	40	building	building	NOUN
ejpam-6921	79	41	of	of	ADP
ejpam-6921	79	42	suitable	suitable	ADJ
ejpam-6921	79	43	symmetric	symmetric	ADJ
ejpam-6921	79	44	models	model	NOUN
ejpam-6921	79	45	and	and	CCONJ
ejpam-6921	79	46	constraints	constraint	NOUN
ejpam-6921	79	47	;	;	PUNCT
ejpam-6921	79	48	(	(	PUNCT
ejpam-6921	79	49	d	d	X
ejpam-6921	79	50	)	)	PUNCT
ejpam-6921	79	51	introduction	introduction	NOUN
ejpam-6921	79	52	of	of	ADP
ejpam-6921	79	53	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	79	54	notion	notion	NOUN
ejpam-6921	79	55	for	for	ADP
ejpam-6921	79	56	controlled	control	VERB
ejpam-6921	79	57	functionals	functional	NOUN
ejpam-6921	79	58	driven	drive	VERB
ejpam-6921	79	59	by	by	ADP
ejpam-6921	79	60	multiple	multiple	ADJ
ejpam-6921	79	61	integrals	integral	NOUN
ejpam-6921	79	62	.	.	PUNCT
ejpam-6921	80	1	the	the	DET
ejpam-6921	80	2	rest	rest	NOUN
ejpam-6921	80	3	of	of	ADP
ejpam-6921	80	4	the	the	DET
ejpam-6921	80	5	paper	paper	NOUN
ejpam-6921	80	6	is	be	AUX
ejpam-6921	80	7	structured	structure	VERB
ejpam-6921	80	8	as	as	SCONJ
ejpam-6921	80	9	follows	follow	VERB
ejpam-6921	80	10	.	.	PUNCT
ejpam-6921	81	1	next	next	ADJ
ejpam-6921	81	2	section	section	NOUN
ejpam-6921	81	3	includes	include	VERB
ejpam-6921	81	4	some	some	DET
ejpam-6921	81	5	preliminary	preliminary	ADJ
ejpam-6921	81	6	ingredients	ingredient	NOUN
ejpam-6921	81	7	which	which	PRON
ejpam-6921	81	8	are	be	AUX
ejpam-6921	81	9	useful	useful	ADJ
ejpam-6921	81	10	is	be	AUX
ejpam-6921	81	11	establishing	establish	VERB
ejpam-6921	81	12	the	the	DET
ejpam-6921	81	13	main	main	ADJ
ejpam-6921	81	14	results	result	NOUN
ejpam-6921	81	15	.	.	PUNCT
ejpam-6921	82	1	section	section	NOUN
ejpam-6921	82	2	3	3	NUM
ejpam-6921	82	3	contains	contain	VERB
ejpam-6921	82	4	the	the	DET
ejpam-6921	82	5	main	main	ADJ
ejpam-6921	82	6	contributions	contribution	NOUN
ejpam-6921	82	7	of	of	ADP
ejpam-6921	82	8	this	this	DET
ejpam-6921	82	9	paper	paper	NOUN
ejpam-6921	82	10	.	.	PUNCT
ejpam-6921	83	1	the	the	DET
ejpam-6921	83	2	symmetric	symmetric	ADJ
ejpam-6921	83	3	multi	multi	ADJ
ejpam-6921	83	4	-	-	ADJ
ejpam-6921	83	5	dimensional	dimensional	ADJ
ejpam-6921	83	6	multiobjective	multiobjective	ADJ
ejpam-6921	83	7	dual	dual	ADJ
ejpam-6921	83	8	programs	program	NOUN
ejpam-6921	83	9	are	be	AUX
ejpam-6921	83	10	introduced	introduce	VERB
ejpam-6921	83	11	and	and	CCONJ
ejpam-6921	83	12	studied	study	VERB
ejpam-6921	83	13	.	.	PUNCT
ejpam-6921	84	1	last	last	ADJ
ejpam-6921	84	2	section	section	NOUN
ejpam-6921	84	3	formulates	formulate	VERB
ejpam-6921	84	4	the	the	DET
ejpam-6921	84	5	conclusions	conclusion	NOUN
ejpam-6921	84	6	of	of	ADP
ejpam-6921	84	7	this	this	DET
ejpam-6921	84	8	study	study	NOUN
ejpam-6921	84	9	.	.	PUNCT
ejpam-6921	85	1	2	2	X
ejpam-6921	85	2	.	.	X
ejpam-6921	85	3	preliminaries	preliminary	NOUN
ejpam-6921	85	4	let	let	VERB
ejpam-6921	85	5	k	k	PROPN
ejpam-6921	85	6	=	=	PUNCT
ejpam-6921	86	1	[	[	X
ejpam-6921	86	2	x1	x1	PROPN
ejpam-6921	86	3	,	,	PUNCT
ejpam-6921	86	4	x2	x2	PROPN
ejpam-6921	86	5	]	]	X
ejpam-6921	86	6	=	=	PUNCT
ejpam-6921	87	1	[	[	X
ejpam-6921	87	2	x11	x11	NOUN
ejpam-6921	87	3	,	,	PUNCT
ejpam-6921	87	4	x	x	NOUN
ejpam-6921	87	5	1	1	NUM
ejpam-6921	87	6	2	2	NUM
ejpam-6921	87	7	]	]	SYM
ejpam-6921	87	8	×	×	NOUN
ejpam-6921	87	9	·	·	PUNCT
ejpam-6921	87	10	·	·	PUNCT
ejpam-6921	87	11	·	·	PUNCT
ejpam-6921	87	12	×	×	NOUN
ejpam-6921	88	1	[	[	X
ejpam-6921	88	2	xp1	xp1	PROPN
ejpam-6921	88	3	,	,	PUNCT
ejpam-6921	88	4	x	x	PROPN
ejpam-6921	88	5	p	p	NOUN
ejpam-6921	88	6	2	2	NUM
ejpam-6921	88	7	]	]	PUNCT
ejpam-6921	88	8	be	be	AUX
ejpam-6921	88	9	a	a	DET
ejpam-6921	88	10	multi	multi	ADJ
ejpam-6921	88	11	-	-	ADJ
ejpam-6921	88	12	dimensional	dimensional	ADJ
ejpam-6921	88	13	interval	interval	NOUN
ejpam-6921	88	14	,	,	PUNCT
ejpam-6921	88	15	with	with	ADP
ejpam-6921	88	16	x1	x1	PROPN
ejpam-6921	88	17	=	=	SYM
ejpam-6921	88	18	(	(	PUNCT
ejpam-6921	88	19	x11	x11	NOUN
ejpam-6921	88	20	,	,	PUNCT
ejpam-6921	88	21	·	·	PUNCT
ejpam-6921	88	22	·	·	PUNCT
ejpam-6921	88	23	·	·	PUNCT
ejpam-6921	88	24	,	,	PUNCT
ejpam-6921	88	25	x	x	PUNCT
ejpam-6921	88	26	p	p	NOUN
ejpam-6921	88	27	1	1	NUM
ejpam-6921	88	28	)	)	PUNCT
ejpam-6921	88	29	,	,	PUNCT
ejpam-6921	89	1	x2	x2	PROPN
ejpam-6921	89	2	=	=	PRON
ejpam-6921	89	3	(	(	PUNCT
ejpam-6921	89	4	x12	x12	PROPN
ejpam-6921	89	5	,	,	PUNCT
ejpam-6921	89	6	·	·	PUNCT
ejpam-6921	89	7	·	·	PUNCT
ejpam-6921	89	8	·	·	PUNCT
ejpam-6921	89	9	,	,	PUNCT
ejpam-6921	89	10	x	x	PUNCT
ejpam-6921	89	11	p	p	NOUN
ejpam-6921	89	12	n	n	CCONJ
ejpam-6921	89	13	)	)	PUNCT
ejpam-6921	89	14	two	two	NUM
ejpam-6921	89	15	arbitrary	arbitrary	ADJ
ejpam-6921	89	16	points	point	NOUN
ejpam-6921	89	17	in	in	ADP
ejpam-6921	89	18	rp	rp	NOUN
ejpam-6921	89	19	.	.	PUNCT
ejpam-6921	89	20	consider	consider	VERB
ejpam-6921	89	21	the	the	DET
ejpam-6921	89	22	functions	function	NOUN
ejpam-6921	89	23	χδ(x	χδ(x	PUNCT
ejpam-6921	89	24	,	,	PUNCT
ejpam-6921	89	25	λ(x	λ(x	PROPN
ejpam-6921	89	26	)	)	PUNCT
ejpam-6921	89	27	,	,	PUNCT
ejpam-6921	89	28	λγ(x	λγ(x	ADV
ejpam-6921	89	29	)	)	PUNCT
ejpam-6921	89	30	,	,	PUNCT
ejpam-6921	89	31	π(x	π(x	ADP
ejpam-6921	89	32	)	)	PUNCT
ejpam-6921	89	33	,	,	PUNCT
ejpam-6921	89	34	ω(x	ω(x	NUM
ejpam-6921	89	35	)	)	PUNCT
ejpam-6921	89	36	,	,	PUNCT
ejpam-6921	89	37	ωξ(x	ωξ(x	NUM
ejpam-6921	89	38	)	)	PUNCT
ejpam-6921	89	39	,	,	PUNCT
ejpam-6921	89	40	ζ(x	ζ(x	NOUN
ejpam-6921	89	41	)	)	PUNCT
ejpam-6921	89	42	)	)	PUNCT
ejpam-6921	89	43	,	,	PUNCT
ejpam-6921	89	44	t.	t.	PROPN
ejpam-6921	89	45	saeed	saeed	PROPN
ejpam-6921	89	46	,	,	PUNCT
ejpam-6921	89	47	s.	s.	PROPN
ejpam-6921	89	48	treanţă	treanţă	PROPN
ejpam-6921	89	49	/	/	SYM
ejpam-6921	89	50	eur	eur	PROPN
ejpam-6921	89	51	.	.	PUNCT
ejpam-6921	90	1	j.	j.	PROPN
ejpam-6921	90	2	pure	pure	PROPN
ejpam-6921	90	3	appl	appl	PROPN
ejpam-6921	90	4	.	.	PROPN
ejpam-6921	90	5	math	math	PROPN
ejpam-6921	90	6	,	,	PUNCT
ejpam-6921	90	7	18	18	NUM
ejpam-6921	90	8	(	(	PUNCT
ejpam-6921	90	9	4	4	NUM
ejpam-6921	90	10	)	)	PUNCT
ejpam-6921	90	11	(	(	PUNCT
ejpam-6921	90	12	2025	2025	NUM
ejpam-6921	90	13	)	)	PUNCT
ejpam-6921	90	14	,	,	PUNCT
ejpam-6921	90	15	6921	6921	NUM
ejpam-6921	90	16	4	4	NUM
ejpam-6921	90	17	of	of	ADP
ejpam-6921	90	18	14	14	NUM
ejpam-6921	90	19	υδ(x	υδ(x	NUM
ejpam-6921	90	20	,	,	PUNCT
ejpam-6921	90	21	λ(x	λ(x	PROPN
ejpam-6921	90	22	)	)	PUNCT
ejpam-6921	90	23	,	,	PUNCT
ejpam-6921	90	24	λγ(x	λγ(x	ADV
ejpam-6921	90	25	)	)	PUNCT
ejpam-6921	90	26	,	,	PUNCT
ejpam-6921	90	27	π(x	π(x	ADP
ejpam-6921	90	28	)	)	PUNCT
ejpam-6921	90	29	,	,	PUNCT
ejpam-6921	90	30	ω(x	ω(x	NUM
ejpam-6921	90	31	)	)	PUNCT
ejpam-6921	90	32	,	,	PUNCT
ejpam-6921	90	33	ωξ(x	ωξ(x	NUM
ejpam-6921	90	34	)	)	PUNCT
ejpam-6921	90	35	,	,	PUNCT
ejpam-6921	90	36	ζ(x	ζ(x	NOUN
ejpam-6921	90	37	)	)	PUNCT
ejpam-6921	90	38	)	)	PUNCT
ejpam-6921	90	39	,	,	PUNCT
ejpam-6921	90	40	where	where	SCONJ
ejpam-6921	90	41	λ	λ	X
ejpam-6921	90	42	:	:	PUNCT
ejpam-6921	90	43	k	k	PROPN
ejpam-6921	90	44	→	→	SYM
ejpam-6921	90	45	rn	rn	PROPN
ejpam-6921	90	46	,	,	PUNCT
ejpam-6921	90	47	π	π	X
ejpam-6921	90	48	:	:	PUNCT
ejpam-6921	90	49	k	k	X
ejpam-6921	90	50	→	→	SYM
ejpam-6921	90	51	rs	rs	PROPN
ejpam-6921	90	52	,	,	PUNCT
ejpam-6921	90	53	ω	ω	NUM
ejpam-6921	90	54	:	:	PUNCT
ejpam-6921	90	55	k	k	PROPN
ejpam-6921	90	56	→	→	SYM
ejpam-6921	90	57	rm	rm	PROPN
ejpam-6921	90	58	,	,	PUNCT
ejpam-6921	90	59	ζ	ζ	NOUN
ejpam-6921	90	60	:	:	PUNCT
ejpam-6921	90	61	k	k	X
ejpam-6921	90	62	→	→	SYM
ejpam-6921	90	63	rl	rl	PROPN
ejpam-6921	90	64	(	(	PUNCT
ejpam-6921	90	65	see	see	VERB
ejpam-6921	90	66	λγ	λγ	X
ejpam-6921	90	67	:	:	PUNCT
ejpam-6921	90	68	=	=	PUNCT
ejpam-6921	90	69	∂λ	∂λ	PROPN
ejpam-6921	90	70	∂xγ	∂xγ	NOUN
ejpam-6921	90	71	,	,	PUNCT
ejpam-6921	90	72	γ	γ	X
ejpam-6921	90	73	=	=	SYM
ejpam-6921	90	74	1	1	NUM
ejpam-6921	90	75	,	,	PUNCT
ejpam-6921	90	76	p	p	NOUN
ejpam-6921	90	77	and	and	CCONJ
ejpam-6921	90	78	ωξ	ωξ	ADP
ejpam-6921	90	79	:	:	PUNCT
ejpam-6921	90	80	=	=	SYM
ejpam-6921	90	81	∂ω	∂ω	ADJ
ejpam-6921	90	82	∂xξ	∂xξ	NOUN
ejpam-6921	90	83	,	,	PUNCT
ejpam-6921	90	84	ξ	ξ	X
ejpam-6921	90	85	=	=	SYM
ejpam-6921	90	86	1	1	NUM
ejpam-6921	90	87	,	,	PUNCT
ejpam-6921	90	88	p	p	X
ejpam-6921	90	89	,	,	PUNCT
ejpam-6921	90	90	as	as	ADP
ejpam-6921	90	91	the	the	DET
ejpam-6921	90	92	partial	partial	ADJ
ejpam-6921	90	93	derivatives	derivative	NOUN
ejpam-6921	90	94	for	for	ADP
ejpam-6921	90	95	λ	λ	PROPN
ejpam-6921	90	96	and	and	CCONJ
ejpam-6921	90	97	ω	ω	NOUN
ejpam-6921	90	98	with	with	ADP
ejpam-6921	90	99	respect	respect	NOUN
ejpam-6921	90	100	to	to	ADP
ejpam-6921	90	101	the	the	DET
ejpam-6921	90	102	multi	multi	ADJ
ejpam-6921	90	103	-	-	ADJ
ejpam-6921	90	104	variable	variable	ADJ
ejpam-6921	90	105	x	x	NOUN
ejpam-6921	90	106	=	=	SYM
ejpam-6921	90	107	(	(	PUNCT
ejpam-6921	90	108	x1	x1	PROPN
ejpam-6921	90	109	,	,	PUNCT
ejpam-6921	90	110	·	·	PUNCT
ejpam-6921	90	111	·	·	PUNCT
ejpam-6921	90	112	·	·	PUNCT
ejpam-6921	90	113	,	,	PUNCT
ejpam-6921	90	114	xp	xp	X
ejpam-6921	90	115	)	)	PUNCT
ejpam-6921	90	116	∈	∈	PROPN
ejpam-6921	91	1	k	k	PROPN
ejpam-6921	91	2	⊂	⊂	PROPN
ejpam-6921	91	3	rp	rp	PROPN
ejpam-6921	91	4	)	)	PUNCT
ejpam-6921	91	5	,	,	PUNCT
ejpam-6921	91	6	are	be	AUX
ejpam-6921	91	7	functionals	functional	NOUN
ejpam-6921	91	8	of	of	ADP
ejpam-6921	91	9	c2	c2	PROPN
ejpam-6921	91	10	-	-	PUNCT
ejpam-6921	91	11	class	class	NOUN
ejpam-6921	91	12	,	,	PUNCT
ejpam-6921	91	13	for	for	ADP
ejpam-6921	91	14	δ	δ	PROPN
ejpam-6921	91	15	∈	∈	PROPN
ejpam-6921	91	16	{	{	PUNCT
ejpam-6921	91	17	1	1	NUM
ejpam-6921	91	18	,	,	PUNCT
ejpam-6921	91	19	2	2	NUM
ejpam-6921	91	20	,	,	PUNCT
ejpam-6921	91	21	.	.	PUNCT
ejpam-6921	91	22	.	.	PUNCT
ejpam-6921	92	1	.	.	PUNCT
ejpam-6921	93	1	,	,	PUNCT
ejpam-6921	93	2	q	q	X
ejpam-6921	93	3	}	}	PUNCT
ejpam-6921	93	4	.	.	PUNCT
ejpam-6921	94	1	in	in	ADP
ejpam-6921	94	2	the	the	DET
ejpam-6921	94	3	paper	paper	NOUN
ejpam-6921	94	4	,	,	PUNCT
ejpam-6921	94	5	χδ	χδ	PROPN
ejpam-6921	94	6	λ	λ	PROPN
ejpam-6921	94	7	,	,	PUNCT
ejpam-6921	94	8	χ	χ	PROPN
ejpam-6921	94	9	δ	δ	PROPN
ejpam-6921	94	10	λγ	λγ	PROPN
ejpam-6921	94	11	,	,	PUNCT
ejpam-6921	94	12	χδ	χδ	PROPN
ejpam-6921	94	13	π	π	PROPN
ejpam-6921	94	14	,	,	PUNCT
ejpam-6921	94	15	χ	χ	PROPN
ejpam-6921	94	16	δ	δ	PROPN
ejpam-6921	94	17	ω	ω	PROPN
ejpam-6921	94	18	,	,	PUNCT
ejpam-6921	94	19	χ	χ	PROPN
ejpam-6921	94	20	δ	δ	PROPN
ejpam-6921	94	21	ωξ	ωξ	ADP
ejpam-6921	94	22	and	and	CCONJ
ejpam-6921	94	23	χδ	χδ	ADV
ejpam-6921	94	24	ζ	ζ	PROPN
ejpam-6921	94	25	represent	represent	VERB
ejpam-6921	94	26	the	the	DET
ejpam-6921	94	27	gradients	gradient	NOUN
ejpam-6921	94	28	associated	associate	VERB
ejpam-6921	94	29	with	with	ADP
ejpam-6921	94	30	the	the	DET
ejpam-6921	94	31	functional	functional	ADJ
ejpam-6921	94	32	χδ(x	χδ(x	NOUN
ejpam-6921	94	33	,	,	PUNCT
ejpam-6921	94	34	λ(x	λ(x	PROPN
ejpam-6921	94	35	)	)	PUNCT
ejpam-6921	94	36	,	,	PUNCT
ejpam-6921	94	37	λγ(x	λγ(x	ADV
ejpam-6921	94	38	)	)	PUNCT
ejpam-6921	94	39	,	,	PUNCT
ejpam-6921	94	40	π(x	π(x	ADP
ejpam-6921	94	41	)	)	PUNCT
ejpam-6921	94	42	,	,	PUNCT
ejpam-6921	94	43	ω(x	ω(x	NUM
ejpam-6921	94	44	)	)	PUNCT
ejpam-6921	94	45	,	,	PUNCT
ejpam-6921	94	46	ωξ(x	ωξ(x	NUM
ejpam-6921	94	47	)	)	PUNCT
ejpam-6921	94	48	,	,	PUNCT
ejpam-6921	94	49	ζ(x	ζ(x	NOUN
ejpam-6921	94	50	)	)	PUNCT
ejpam-6921	94	51	)	)	PUNCT
ejpam-6921	94	52	with	with	ADP
ejpam-6921	94	53	respect	respect	NOUN
ejpam-6921	94	54	to	to	ADP
ejpam-6921	94	55	λ	λ	PROPN
ejpam-6921	94	56	,	,	PUNCT
ejpam-6921	94	57	λγ	λγ	PROPN
ejpam-6921	94	58	,	,	PUNCT
ejpam-6921	94	59	π	π	PROPN
ejpam-6921	94	60	,	,	PUNCT
ejpam-6921	94	61	ω	ω	NOUN
ejpam-6921	94	62	,	,	PUNCT
ejpam-6921	94	63	ωξ	ωξ	ADP
ejpam-6921	94	64	and	and	CCONJ
ejpam-6921	94	65	ζ	ζ	NOUN
ejpam-6921	94	66	,	,	PUNCT
ejpam-6921	94	67	that	that	PRON
ejpam-6921	94	68	is	be	AUX
ejpam-6921	94	69	χδ	χδ	ADP
ejpam-6921	94	70	λ	λ	PROPN
ejpam-6921	94	71	=	=	SYM
ejpam-6921	94	72	(	(	PUNCT
ejpam-6921	94	73	∂χδ	∂χδ	PROPN
ejpam-6921	94	74	∂λ1	∂λ1	PROPN
ejpam-6921	94	75	,	,	PUNCT
ejpam-6921	94	76	.	.	PUNCT
ejpam-6921	94	77	.	.	PUNCT
ejpam-6921	95	1	.	.	PUNCT
ejpam-6921	96	1	,	,	PUNCT
ejpam-6921	96	2	∂χδ	∂χδ	PROPN
ejpam-6921	96	3	∂λn	∂λn	PROPN
ejpam-6921	96	4	)	)	PUNCT
ejpam-6921	96	5	t	t	PROPN
ejpam-6921	96	6	,	,	PUNCT
ejpam-6921	96	7	χδ	χδ	ADV
ejpam-6921	96	8	λγ	λγ	PROPN
ejpam-6921	97	1	=	=	PUNCT
ejpam-6921	98	1	(	(	PUNCT
ejpam-6921	98	2	∂χδ	∂χδ	PROPN
ejpam-6921	98	3	∂λ1γ	∂λ1γ	NOUN
ejpam-6921	98	4	,	,	PUNCT
ejpam-6921	98	5	.	.	PUNCT
ejpam-6921	98	6	.	.	PUNCT
ejpam-6921	99	1	.	.	PUNCT
ejpam-6921	100	1	,	,	PUNCT
ejpam-6921	100	2	∂χδ	∂χδ	PROPN
ejpam-6921	100	3	∂λnγ	∂λnγ	NUM
ejpam-6921	100	4	)	)	PUNCT
ejpam-6921	100	5	t	t	PROPN
ejpam-6921	100	6	,	,	PUNCT
ejpam-6921	100	7	χδ	χδ	PROPN
ejpam-6921	100	8	ω	ω	NUM
ejpam-6921	100	9	=	=	SYM
ejpam-6921	100	10	(	(	PUNCT
ejpam-6921	100	11	∂χδ	∂χδ	PROPN
ejpam-6921	100	12	∂ω1	∂ω1	PROPN
ejpam-6921	100	13	,	,	PUNCT
ejpam-6921	100	14	.	.	PUNCT
ejpam-6921	100	15	.	.	PUNCT
ejpam-6921	100	16	.	.	PUNCT
ejpam-6921	101	1	,	,	PUNCT
ejpam-6921	101	2	∂χδ	∂χδ	PROPN
ejpam-6921	101	3	∂ωm	∂ωm	PROPN
ejpam-6921	101	4	)	)	PUNCT
ejpam-6921	102	1	t	t	PROPN
ejpam-6921	102	2	,	,	PUNCT
ejpam-6921	102	3	χδ	χδ	ADV
ejpam-6921	102	4	ωξ	ωξ	ADP
ejpam-6921	102	5	=	=	PUNCT
ejpam-6921	102	6	(	(	PUNCT
ejpam-6921	102	7	∂χδ	∂χδ	PROPN
ejpam-6921	102	8	∂ω1	∂ω1	PROPN
ejpam-6921	102	9	ξ	ξ	PROPN
ejpam-6921	102	10	,	,	PUNCT
ejpam-6921	102	11	.	.	PUNCT
ejpam-6921	102	12	.	.	PUNCT
ejpam-6921	103	1	.	.	PUNCT
ejpam-6921	104	1	,	,	PUNCT
ejpam-6921	104	2	∂χδ	∂χδ	PROPN
ejpam-6921	104	3	∂ωm	∂ωm	PROPN
ejpam-6921	104	4	ξ	ξ	PROPN
ejpam-6921	104	5	)	)	PUNCT
ejpam-6921	104	6	t	t	PROPN
ejpam-6921	104	7	,	,	PUNCT
ejpam-6921	104	8	χδ	χδ	ADV
ejpam-6921	104	9	π	π	PROPN
ejpam-6921	104	10	=	=	SYM
ejpam-6921	104	11	(	(	PUNCT
ejpam-6921	104	12	∂χδ	∂χδ	PROPN
ejpam-6921	104	13	∂π1	∂π1	PROPN
ejpam-6921	104	14	,	,	PUNCT
ejpam-6921	104	15	.	.	PUNCT
ejpam-6921	104	16	.	.	PUNCT
ejpam-6921	104	17	.	.	PUNCT
ejpam-6921	105	1	,	,	PUNCT
ejpam-6921	105	2	∂χδ	∂χδ	PROPN
ejpam-6921	105	3	∂πs	∂πs	PROPN
ejpam-6921	105	4	)	)	PUNCT
ejpam-6921	105	5	t	t	PROPN
ejpam-6921	105	6	,	,	PUNCT
ejpam-6921	105	7	χδ	χδ	ADV
ejpam-6921	105	8	ζ	ζ	NOUN
ejpam-6921	105	9	=	=	SYM
ejpam-6921	105	10	(	(	PUNCT
ejpam-6921	105	11	∂χδ	∂χδ	PROPN
ejpam-6921	105	12	∂ζ1	∂ζ1	PROPN
ejpam-6921	105	13	,	,	PUNCT
ejpam-6921	105	14	.	.	PUNCT
ejpam-6921	105	15	.	.	PUNCT
ejpam-6921	105	16	.	.	PUNCT
ejpam-6921	106	1	,	,	PUNCT
ejpam-6921	106	2	∂χδ	∂χδ	PROPN
ejpam-6921	106	3	∂ζ	∂ζ	PROPN
ejpam-6921	106	4	l	l	PROPN
ejpam-6921	106	5	)	)	PUNCT
ejpam-6921	106	6	t	t	NOUN
ejpam-6921	106	7	,	,	PUNCT
ejpam-6921	106	8	for	for	ADP
ejpam-6921	106	9	δ	δ	PROPN
ejpam-6921	106	10	∈	∈	PROPN
ejpam-6921	106	11	{	{	PUNCT
ejpam-6921	106	12	1	1	NUM
ejpam-6921	106	13	,	,	PUNCT
ejpam-6921	106	14	2	2	NUM
ejpam-6921	106	15	,	,	PUNCT
ejpam-6921	106	16	.	.	PUNCT
ejpam-6921	106	17	.	.	PUNCT
ejpam-6921	106	18	.	.	PUNCT
ejpam-6921	107	1	,	,	PUNCT
ejpam-6921	107	2	q	q	X
ejpam-6921	107	3	}	}	PUNCT
ejpam-6921	107	4	.	.	PUNCT
ejpam-6921	108	1	similarly	similarly	ADV
ejpam-6921	108	2	,	,	PUNCT
ejpam-6921	108	3	υδ	υδ	PROPN
ejpam-6921	108	4	λ	λ	PROPN
ejpam-6921	108	5	,	,	PUNCT
ejpam-6921	108	6	υ	υ	PROPN
ejpam-6921	108	7	δ	δ	PROPN
ejpam-6921	108	8	λγ	λγ	PROPN
ejpam-6921	108	9	,	,	PUNCT
ejpam-6921	108	10	υδ	υδ	PROPN
ejpam-6921	108	11	π	π	PROPN
ejpam-6921	108	12	,	,	PUNCT
ejpam-6921	108	13	υ	υ	PROPN
ejpam-6921	108	14	δ	δ	PROPN
ejpam-6921	108	15	ω	ω	PROPN
ejpam-6921	108	16	,	,	PUNCT
ejpam-6921	108	17	υ	υ	PROPN
ejpam-6921	108	18	δ	δ	PROPN
ejpam-6921	108	19	ωξ	ωξ	ADP
ejpam-6921	108	20	and	and	CCONJ
ejpam-6921	108	21	υδ	υδ	X
ejpam-6921	108	22	ζ	ζ	PROPN
ejpam-6921	108	23	denote	denote	VERB
ejpam-6921	108	24	the	the	DET
ejpam-6921	108	25	gradient	gradient	ADJ
ejpam-6921	108	26	vectors	vector	NOUN
ejpam-6921	108	27	of	of	ADP
ejpam-6921	108	28	υδ(x	υδ(x	NOUN
ejpam-6921	108	29	,	,	PUNCT
ejpam-6921	108	30	λ(x	λ(x	PROPN
ejpam-6921	108	31	)	)	PUNCT
ejpam-6921	108	32	,	,	PUNCT
ejpam-6921	108	33	λγ(x	λγ(x	ADV
ejpam-6921	108	34	)	)	PUNCT
ejpam-6921	108	35	,	,	PUNCT
ejpam-6921	108	36	π(x	π(x	ADP
ejpam-6921	108	37	)	)	PUNCT
ejpam-6921	108	38	,	,	PUNCT
ejpam-6921	108	39	ω(x	ω(x	NUM
ejpam-6921	108	40	)	)	PUNCT
ejpam-6921	108	41	,	,	PUNCT
ejpam-6921	108	42	ωξ(x	ωξ(x	NUM
ejpam-6921	108	43	)	)	PUNCT
ejpam-6921	108	44	,	,	PUNCT
ejpam-6921	108	45	ζ(x	ζ(x	NOUN
ejpam-6921	108	46	)	)	PUNCT
ejpam-6921	108	47	)	)	PUNCT
ejpam-6921	108	48	with	with	ADP
ejpam-6921	108	49	respect	respect	NOUN
ejpam-6921	108	50	to	to	ADP
ejpam-6921	108	51	λ	λ	PROPN
ejpam-6921	108	52	,	,	PUNCT
ejpam-6921	108	53	λγ	λγ	PROPN
ejpam-6921	108	54	,	,	PUNCT
ejpam-6921	108	55	π	π	PROPN
ejpam-6921	108	56	,	,	PUNCT
ejpam-6921	108	57	ω	ω	NOUN
ejpam-6921	108	58	,	,	PUNCT
ejpam-6921	108	59	ωξ	ωξ	ADP
ejpam-6921	108	60	and	and	CCONJ
ejpam-6921	108	61	ζ	ζ	NOUN
ejpam-6921	108	62	.	.	PUNCT
ejpam-6921	109	1	let	let	VERB
ejpam-6921	109	2	c1	c1	PROPN
ejpam-6921	109	3	(	(	PUNCT
ejpam-6921	109	4	k	k	PROPN
ejpam-6921	109	5	,	,	PUNCT
ejpam-6921	109	6	rn	rn	PROPN
ejpam-6921	109	7	)	)	PUNCT
ejpam-6921	109	8	and	and	CCONJ
ejpam-6921	109	9	c1	c1	PROPN
ejpam-6921	109	10	(	(	PUNCT
ejpam-6921	109	11	k	k	PROPN
ejpam-6921	109	12	,	,	PUNCT
ejpam-6921	109	13	rm	rm	PROPN
ejpam-6921	109	14	)	)	PUNCT
ejpam-6921	109	15	denote	denote	VERB
ejpam-6921	109	16	the	the	DET
ejpam-6921	109	17	families	family	NOUN
ejpam-6921	109	18	of	of	ADP
ejpam-6921	109	19	functions	function	NOUN
ejpam-6921	109	20	λ	λ	PROPN
ejpam-6921	109	21	and	and	CCONJ
ejpam-6921	109	22	ω	ω	NUM
ejpam-6921	109	23	(	(	PUNCT
ejpam-6921	109	24	state	state	NOUN
ejpam-6921	109	25	variables	variable	NOUN
ejpam-6921	109	26	,	,	PUNCT
ejpam-6921	109	27	continuously	continuously	ADV
ejpam-6921	109	28	differentiable	differentiable	ADJ
ejpam-6921	109	29	functions	function	NOUN
ejpam-6921	109	30	)	)	PUNCT
ejpam-6921	109	31	,	,	PUNCT
ejpam-6921	109	32	respectively	respectively	ADV
ejpam-6921	109	33	,	,	PUNCT
ejpam-6921	109	34	having	have	VERB
ejpam-6921	109	35	the	the	DET
ejpam-6921	109	36	associated	associated	ADJ
ejpam-6921	109	37	norms	norm	NOUN
ejpam-6921	110	1	∥λ∥	∥λ∥	ADJ
ejpam-6921	110	2	=	=	SYM
ejpam-6921	110	3	∥λ∥∞	∥λ∥∞	PROPN
ejpam-6921	110	4	+	+	NUM
ejpam-6921	110	5	∥λγ∥∞	∥λγ∥∞	NOUN
ejpam-6921	110	6	and	and	CCONJ
ejpam-6921	110	7	∥ω∥	∥ω∥	NOUN
ejpam-6921	110	8	=	=	SYM
ejpam-6921	110	9	∥ω∥∞	∥ω∥∞	X
ejpam-6921	111	1	+	+	CCONJ
ejpam-6921	111	2	∥ωξ∥∞	∥ωξ∥∞	X
ejpam-6921	111	3	,	,	PUNCT
ejpam-6921	111	4	respectively	respectively	ADV
ejpam-6921	111	5	.	.	PUNCT
ejpam-6921	112	1	also	also	ADV
ejpam-6921	112	2	,	,	PUNCT
ejpam-6921	112	3	let	let	VERB
ejpam-6921	112	4	c0	c0	PROPN
ejpam-6921	112	5	(	(	PUNCT
ejpam-6921	112	6	k	k	NOUN
ejpam-6921	112	7	,	,	PUNCT
ejpam-6921	112	8	rs	rs	NOUN
ejpam-6921	112	9	)	)	PUNCT
ejpam-6921	112	10	and	and	CCONJ
ejpam-6921	112	11	c0	c0	PROPN
ejpam-6921	112	12	(	(	PUNCT
ejpam-6921	112	13	k	k	X
ejpam-6921	112	14	,	,	PUNCT
ejpam-6921	112	15	rl	rl	X
ejpam-6921	112	16	)	)	PUNCT
ejpam-6921	112	17	denote	denote	VERB
ejpam-6921	112	18	the	the	DET
ejpam-6921	112	19	classes	class	NOUN
ejpam-6921	112	20	of	of	ADP
ejpam-6921	112	21	functions	function	NOUN
ejpam-6921	112	22	π	π	PROPN
ejpam-6921	112	23	and	and	CCONJ
ejpam-6921	112	24	ζ	ζ	PROPN
ejpam-6921	112	25	(	(	PUNCT
ejpam-6921	112	26	control	control	NOUN
ejpam-6921	112	27	variables	variable	NOUN
ejpam-6921	112	28	,	,	PUNCT
ejpam-6921	112	29	continuous	continuous	ADJ
ejpam-6921	112	30	functions	function	NOUN
ejpam-6921	112	31	)	)	PUNCT
ejpam-6921	112	32	,	,	PUNCT
ejpam-6921	112	33	respectively	respectively	ADV
ejpam-6921	112	34	,	,	PUNCT
ejpam-6921	112	35	with	with	ADP
ejpam-6921	112	36	the	the	DET
ejpam-6921	112	37	corresponding	corresponding	ADJ
ejpam-6921	112	38	uniform	uniform	ADJ
ejpam-6921	112	39	norm	norm	NOUN
ejpam-6921	112	40	,	,	PUNCT
ejpam-6921	112	41	as	as	ADV
ejpam-6921	112	42	well	well	ADV
ejpam-6921	112	43	.	.	PUNCT
ejpam-6921	113	1	in	in	ADP
ejpam-6921	113	2	accordance	accordance	NOUN
ejpam-6921	113	3	with	with	ADP
ejpam-6921	113	4	bector	bector	NOUN
ejpam-6921	113	5	and	and	CCONJ
ejpam-6921	113	6	husain	husain	NOUN
ejpam-6921	113	7	[	[	X
ejpam-6921	113	8	5	5	NUM
ejpam-6921	113	9	]	]	PUNCT
ejpam-6921	113	10	,	,	PUNCT
ejpam-6921	113	11	we	we	PRON
ejpam-6921	113	12	state	state	VERB
ejpam-6921	113	13	the	the	DET
ejpam-6921	113	14	multi	multi	ADJ
ejpam-6921	113	15	-	-	ADJ
ejpam-6921	113	16	cost	cost	ADJ
ejpam-6921	113	17	variational	variational	ADJ
ejpam-6921	113	18	optimization	optimization	NOUN
ejpam-6921	113	19	problem	problem	NOUN
ejpam-6921	113	20	:	:	PUNCT
ejpam-6921	113	21	(	(	PUNCT
ejpam-6921	113	22	problem	problem	NOUN
ejpam-6921	113	23	)	)	PUNCT
ejpam-6921	113	24	min	min	NOUN
ejpam-6921	113	25	(	(	PUNCT
ejpam-6921	113	26	λ	λ	PROPN
ejpam-6921	113	27	,	,	PUNCT
ejpam-6921	113	28	π	π	NOUN
ejpam-6921	113	29	)	)	PUNCT
ejpam-6921	113	30	(	(	PUNCT
ejpam-6921	113	31	∫	∫	PROPN
ejpam-6921	113	32	k	k	PROPN
ejpam-6921	113	33	f	f	PROPN
ejpam-6921	113	34	1(x	1(x	NUM
ejpam-6921	113	35	,	,	PUNCT
ejpam-6921	113	36	λ(x	λ(x	PROPN
ejpam-6921	113	37	)	)	PUNCT
ejpam-6921	113	38	,	,	PUNCT
ejpam-6921	113	39	π(x))dw	π(x))dw	PROPN
ejpam-6921	113	40	,	,	PUNCT
ejpam-6921	113	41	.	.	PUNCT
ejpam-6921	113	42	.	.	PUNCT
ejpam-6921	114	1	.	.	PUNCT
ejpam-6921	115	1	,	,	PUNCT
ejpam-6921	115	2	∫	∫	PROPN
ejpam-6921	115	3	k	k	PROPN
ejpam-6921	115	4	f	f	PROPN
ejpam-6921	115	5	q(x	q(x	PROPN
ejpam-6921	115	6	,	,	PUNCT
ejpam-6921	115	7	λ(x	λ(x	PROPN
ejpam-6921	115	8	)	)	PUNCT
ejpam-6921	115	9	,	,	PUNCT
ejpam-6921	115	10	π(x))dw	π(x))dw	PROPN
ejpam-6921	115	11	)	)	PUNCT
ejpam-6921	115	12	subject	subject	ADJ
ejpam-6921	115	13	to	to	ADP
ejpam-6921	115	14	λ(x1	λ(x1	NOUN
ejpam-6921	115	15	)	)	PUNCT
ejpam-6921	116	1	=	=	SYM
ejpam-6921	116	2	α	α	X
ejpam-6921	116	3	=	=	PUNCT
ejpam-6921	116	4	given	give	VERB
ejpam-6921	116	5	,	,	PUNCT
ejpam-6921	116	6	λ(x2	λ(x2	NOUN
ejpam-6921	116	7	)	)	PUNCT
ejpam-6921	116	8	=	=	PUNCT
ejpam-6921	116	9	β	β	X
ejpam-6921	116	10	=	=	PUNCT
ejpam-6921	116	11	given	give	VERB
ejpam-6921	116	12	,	,	PUNCT
ejpam-6921	116	13	(	(	PUNCT
ejpam-6921	116	14	or	or	CCONJ
ejpam-6921	116	15	λ|∂k	λ|∂k	NOUN
ejpam-6921	116	16	=	=	NOUN
ejpam-6921	116	17	given	give	VERB
ejpam-6921	116	18	)	)	PUNCT
ejpam-6921	116	19	h(x	h(x	PROPN
ejpam-6921	116	20	,	,	PUNCT
ejpam-6921	116	21	λ(x	λ(x	PROPN
ejpam-6921	116	22	)	)	PUNCT
ejpam-6921	116	23	,	,	PUNCT
ejpam-6921	116	24	π(x	π(x	NOUN
ejpam-6921	116	25	)	)	PUNCT
ejpam-6921	116	26	)	)	PUNCT
ejpam-6921	117	1	≦	≦	NUM
ejpam-6921	117	2	0	0	NUM
ejpam-6921	117	3	,	,	PUNCT
ejpam-6921	117	4	x	x	X
ejpam-6921	117	5	∈	∈	PROPN
ejpam-6921	117	6	k	k	PROPN
ejpam-6921	117	7	,	,	PUNCT
ejpam-6921	117	8	ψτ	ψτ	NOUN
ejpam-6921	117	9	,	,	PUNCT
ejpam-6921	117	10	γ(x	γ(x	ADP
ejpam-6921	117	11	,	,	PUNCT
ejpam-6921	117	12	λ(x	λ(x	PROPN
ejpam-6921	117	13	)	)	PUNCT
ejpam-6921	117	14	,	,	PUNCT
ejpam-6921	117	15	π(x))−	π(x))−	ADJ
ejpam-6921	117	16	λτγ(x	λτγ(x	NOUN
ejpam-6921	117	17	)	)	PUNCT
ejpam-6921	117	18	=	=	SYM
ejpam-6921	118	1	0	0	NUM
ejpam-6921	118	2	,	,	PUNCT
ejpam-6921	118	3	x	x	X
ejpam-6921	118	4	∈	∈	PROPN
ejpam-6921	118	5	k	k	NOUN
ejpam-6921	118	6	,	,	PUNCT
ejpam-6921	118	7	where	where	SCONJ
ejpam-6921	118	8	f	f	PROPN
ejpam-6921	118	9	δ	δ	PROPN
ejpam-6921	118	10	:	:	PUNCT
ejpam-6921	118	11	c1	c1	PROPN
ejpam-6921	118	12	(	(	PUNCT
ejpam-6921	118	13	k	k	PROPN
ejpam-6921	118	14	,	,	PUNCT
ejpam-6921	118	15	rn	rn	PROPN
ejpam-6921	118	16	)	)	PUNCT
ejpam-6921	118	17	×	×	PROPN
ejpam-6921	118	18	c0	c0	NOUN
ejpam-6921	118	19	(	(	PUNCT
ejpam-6921	118	20	k	k	NOUN
ejpam-6921	118	21	,	,	PUNCT
ejpam-6921	118	22	rs	rs	NOUN
ejpam-6921	118	23	)	)	PUNCT
ejpam-6921	118	24	→	→	SYM
ejpam-6921	118	25	r	r	X
ejpam-6921	118	26	,	,	PUNCT
ejpam-6921	118	27	δ	δ	NOUN
ejpam-6921	118	28	=	=	SYM
ejpam-6921	118	29	1	1	NUM
ejpam-6921	118	30	,	,	PUNCT
ejpam-6921	118	31	q	q	INTJ
ejpam-6921	118	32	,	,	PUNCT
ejpam-6921	118	33	hι	hι	NOUN
ejpam-6921	118	34	:	:	PUNCT
ejpam-6921	118	35	c1	c1	PROPN
ejpam-6921	118	36	(	(	PUNCT
ejpam-6921	118	37	k	k	PROPN
ejpam-6921	118	38	,	,	PUNCT
ejpam-6921	118	39	rn	rn	PROPN
ejpam-6921	118	40	)	)	PUNCT
ejpam-6921	118	41	×	×	PROPN
ejpam-6921	118	42	c0	c0	NOUN
ejpam-6921	118	43	(	(	PUNCT
ejpam-6921	118	44	k	k	NOUN
ejpam-6921	118	45	,	,	PUNCT
ejpam-6921	118	46	rs	rs	NOUN
ejpam-6921	118	47	)	)	PUNCT
ejpam-6921	118	48	→	→	SYM
ejpam-6921	118	49	r	r	X
ejpam-6921	118	50	,	,	PUNCT
ejpam-6921	118	51	ι	ι	X
ejpam-6921	118	52	=	=	NOUN
ejpam-6921	118	53	1	1	NUM
ejpam-6921	118	54	,	,	PUNCT
ejpam-6921	118	55	r	r	NOUN
ejpam-6921	118	56	and	and	CCONJ
ejpam-6921	118	57	ψτ	ψτ	PROPN
ejpam-6921	118	58	,	,	PUNCT
ejpam-6921	118	59	γ	γ	X
ejpam-6921	118	60	:	:	PUNCT
ejpam-6921	118	61	c1	c1	PROPN
ejpam-6921	118	62	(	(	PUNCT
ejpam-6921	118	63	k	k	PROPN
ejpam-6921	118	64	,	,	PUNCT
ejpam-6921	118	65	rn	rn	PROPN
ejpam-6921	118	66	)	)	PUNCT
ejpam-6921	118	67	×	×	PROPN
ejpam-6921	118	68	c0	c0	NOUN
ejpam-6921	118	69	(	(	PUNCT
ejpam-6921	118	70	k	k	NOUN
ejpam-6921	118	71	,	,	PUNCT
ejpam-6921	118	72	rs	rs	NOUN
ejpam-6921	118	73	)	)	PUNCT
ejpam-6921	118	74	→	→	SYM
ejpam-6921	118	75	r	r	X
ejpam-6921	118	76	,	,	PUNCT
ejpam-6921	118	77	τ	τ	X
ejpam-6921	118	78	=	=	SYM
ejpam-6921	118	79	1	1	NUM
ejpam-6921	118	80	,	,	PUNCT
ejpam-6921	118	81	n	n	CCONJ
ejpam-6921	118	82	,	,	PUNCT
ejpam-6921	118	83	γ	γ	NOUN
ejpam-6921	118	84	=	=	SYM
ejpam-6921	118	85	1	1	NUM
ejpam-6921	118	86	,	,	PUNCT
ejpam-6921	118	87	p	p	PRON
ejpam-6921	118	88	,	,	PUNCT
ejpam-6921	118	89	are	be	AUX
ejpam-6921	118	90	continuously	continuously	ADV
ejpam-6921	118	91	differentiable	differentiable	ADJ
ejpam-6921	118	92	functionals	functional	NOUN
ejpam-6921	118	93	,	,	PUNCT
ejpam-6921	118	94	dw	dw	NOUN
ejpam-6921	118	95	:	:	PUNCT
ejpam-6921	118	96	=	=	PROPN
ejpam-6921	118	97	dx1	dx1	X
ejpam-6921	118	98	·	·	PUNCT
ejpam-6921	118	99	·	·	PUNCT
ejpam-6921	118	100	·	·	PUNCT
ejpam-6921	119	1	dxp	dxp	X
ejpam-6921	119	2	.	.	PUNCT
ejpam-6921	120	1	let	let	VERB
ejpam-6921	120	2	g	g	NOUN
ejpam-6921	120	3	be	be	AUX
ejpam-6921	120	4	the	the	DET
ejpam-6921	120	5	feasible	feasible	ADJ
ejpam-6921	120	6	solution	solution	NOUN
ejpam-6921	120	7	set	set	VERB
ejpam-6921	120	8	of	of	ADP
ejpam-6921	120	9	(	(	PUNCT
ejpam-6921	120	10	problem	problem	NOUN
ejpam-6921	120	11	)	)	PUNCT
ejpam-6921	120	12	,	,	PUNCT
ejpam-6921	120	13	g	g	NOUN
ejpam-6921	120	14	=	=	PRON
ejpam-6921	120	15	{	{	PUNCT
ejpam-6921	120	16	(	(	PUNCT
ejpam-6921	120	17	λ	λ	PROPN
ejpam-6921	120	18	,	,	PUNCT
ejpam-6921	120	19	π	π	NOUN
ejpam-6921	120	20	)	)	PUNCT
ejpam-6921	120	21	∈	∈	PROPN
ejpam-6921	120	22	c1	c1	NOUN
ejpam-6921	120	23	(	(	PUNCT
ejpam-6921	120	24	k	k	PROPN
ejpam-6921	120	25	,	,	PUNCT
ejpam-6921	120	26	rn)×	rn)×	PROPN
ejpam-6921	120	27	c0	c0	NOUN
ejpam-6921	120	28	(	(	PUNCT
ejpam-6921	120	29	k	k	NOUN
ejpam-6921	120	30	,	,	PUNCT
ejpam-6921	120	31	rs	rs	NOUN
ejpam-6921	120	32	)	)	PUNCT
ejpam-6921	120	33	|	|	ADV
ejpam-6921	120	34	λ(x1	λ(x1	NOUN
ejpam-6921	120	35	)	)	PUNCT
ejpam-6921	121	1	=	=	SYM
ejpam-6921	121	2	α	α	NOUN
ejpam-6921	121	3	,	,	PUNCT
ejpam-6921	121	4	λ(x2	λ(x2	NOUN
ejpam-6921	121	5	)	)	PUNCT
ejpam-6921	121	6	=	=	SYM
ejpam-6921	121	7	β	β	X
ejpam-6921	121	8	,	,	PUNCT
ejpam-6921	121	9	h(x	h(x	PROPN
ejpam-6921	121	10	,	,	PUNCT
ejpam-6921	121	11	λ(x	λ(x	PROPN
ejpam-6921	121	12	)	)	PUNCT
ejpam-6921	121	13	,	,	PUNCT
ejpam-6921	121	14	π(x	π(x	NOUN
ejpam-6921	121	15	)	)	PUNCT
ejpam-6921	121	16	)	)	PUNCT
ejpam-6921	122	1	≦	≦	NUM
ejpam-6921	122	2	0	0	NUM
ejpam-6921	122	3	,	,	PUNCT
ejpam-6921	122	4	t.	t.	PROPN
ejpam-6921	122	5	saeed	saeed	PROPN
ejpam-6921	122	6	,	,	PUNCT
ejpam-6921	122	7	s.	s.	PROPN
ejpam-6921	122	8	treanţă	treanţă	PROPN
ejpam-6921	122	9	/	/	SYM
ejpam-6921	122	10	eur	eur	PROPN
ejpam-6921	122	11	.	.	PUNCT
ejpam-6921	123	1	j.	j.	PROPN
ejpam-6921	123	2	pure	pure	PROPN
ejpam-6921	123	3	appl	appl	PROPN
ejpam-6921	123	4	.	.	PROPN
ejpam-6921	123	5	math	math	PROPN
ejpam-6921	123	6	,	,	PUNCT
ejpam-6921	123	7	18	18	NUM
ejpam-6921	123	8	(	(	PUNCT
ejpam-6921	123	9	4	4	NUM
ejpam-6921	123	10	)	)	PUNCT
ejpam-6921	123	11	(	(	PUNCT
ejpam-6921	123	12	2025	2025	NUM
ejpam-6921	123	13	)	)	PUNCT
ejpam-6921	123	14	,	,	PUNCT
ejpam-6921	123	15	6921	6921	NUM
ejpam-6921	123	16	5	5	NUM
ejpam-6921	123	17	of	of	ADP
ejpam-6921	123	18	14	14	NUM
ejpam-6921	123	19	ψτ	ψτ	NOUN
ejpam-6921	123	20	,	,	PUNCT
ejpam-6921	123	21	γ(x	γ(x	ADP
ejpam-6921	123	22	,	,	PUNCT
ejpam-6921	123	23	λ(x	λ(x	PROPN
ejpam-6921	123	24	)	)	PUNCT
ejpam-6921	123	25	,	,	PUNCT
ejpam-6921	123	26	π(x))−	π(x))−	ADJ
ejpam-6921	123	27	λτγ(x	λτγ(x	NOUN
ejpam-6921	123	28	)	)	PUNCT
ejpam-6921	123	29	=	=	SYM
ejpam-6921	124	1	0	0	NUM
ejpam-6921	124	2	,	,	PUNCT
ejpam-6921	124	3	x	x	X
ejpam-6921	124	4	∈	∈	PROPN
ejpam-6921	124	5	k	k	X
ejpam-6921	124	6	}	}	PUNCT
ejpam-6921	124	7	.	.	PUNCT
ejpam-6921	125	1	in	in	ADP
ejpam-6921	125	2	accordance	accordance	NOUN
ejpam-6921	125	3	with	with	ADP
ejpam-6921	125	4	geoffrion	geoffrion	NOUN
ejpam-6921	125	5	[	[	X
ejpam-6921	125	6	33	33	NUM
ejpam-6921	125	7	]	]	PUNCT
ejpam-6921	125	8	,	,	PUNCT
ejpam-6921	125	9	we	we	PRON
ejpam-6921	125	10	establish	establish	VERB
ejpam-6921	125	11	the	the	DET
ejpam-6921	125	12	next	next	ADJ
ejpam-6921	125	13	useful	useful	ADJ
ejpam-6921	125	14	definitions	definition	NOUN
ejpam-6921	125	15	.	.	PUNCT
ejpam-6921	126	1	definition	definition	NOUN
ejpam-6921	126	2	1	1	NUM
ejpam-6921	126	3	.	.	PUNCT
ejpam-6921	127	1	we	we	PRON
ejpam-6921	127	2	say	say	VERB
ejpam-6921	127	3	that	that	SCONJ
ejpam-6921	127	4	(	(	PUNCT
ejpam-6921	127	5	λ0	λ0	NOUN
ejpam-6921	127	6	,	,	PUNCT
ejpam-6921	127	7	π0	π0	NOUN
ejpam-6921	127	8	)	)	PUNCT
ejpam-6921	127	9	∈	∈	PROPN
ejpam-6921	127	10	g	g	PROPN
ejpam-6921	127	11	is	be	AUX
ejpam-6921	127	12	called	call	VERB
ejpam-6921	127	13	efficient	efficient	ADJ
ejpam-6921	127	14	solution	solution	NOUN
ejpam-6921	127	15	for	for	ADP
ejpam-6921	127	16	(	(	PUNCT
ejpam-6921	127	17	problem	problem	NOUN
ejpam-6921	127	18	)	)	PUNCT
ejpam-6921	127	19	if	if	SCONJ
ejpam-6921	127	20	the	the	DET
ejpam-6921	127	21	relation	relation	NOUN
ejpam-6921	127	22	∫	∫	PROPN
ejpam-6921	128	1	k	k	PROPN
ejpam-6921	128	2	f	f	PROPN
ejpam-6921	128	3	(	(	PUNCT
ejpam-6921	128	4	x	x	X
ejpam-6921	128	5	,	,	PUNCT
ejpam-6921	128	6	λ0(x	λ0(x	NOUN
ejpam-6921	128	7	)	)	PUNCT
ejpam-6921	128	8	,	,	PUNCT
ejpam-6921	128	9	π0(x	π0(x	NOUN
ejpam-6921	128	10	)	)	PUNCT
ejpam-6921	128	11	)	)	PUNCT
ejpam-6921	129	1	dw	dw	PROPN
ejpam-6921	129	2	≤	≤	NUM
ejpam-6921	130	1	∫	∫	PROPN
ejpam-6921	131	1	k	k	PROPN
ejpam-6921	131	2	f	f	PROPN
ejpam-6921	131	3	(	(	PUNCT
ejpam-6921	131	4	x	x	X
ejpam-6921	131	5	,	,	PUNCT
ejpam-6921	131	6	λ(x	λ(x	PROPN
ejpam-6921	131	7	)	)	PUNCT
ejpam-6921	131	8	,	,	PUNCT
ejpam-6921	131	9	π(x))dw	π(x))dw	PROPN
ejpam-6921	131	10	holds	hold	VERB
ejpam-6921	131	11	,	,	PUNCT
ejpam-6921	131	12	for	for	ADP
ejpam-6921	131	13	all	all	DET
ejpam-6921	131	14	(	(	PUNCT
ejpam-6921	131	15	λ	λ	PROPN
ejpam-6921	131	16	,	,	PUNCT
ejpam-6921	131	17	π	π	NOUN
ejpam-6921	131	18	)	)	PUNCT
ejpam-6921	131	19	∈	∈	PROPN
ejpam-6921	131	20	g.	g.	NOUN
ejpam-6921	131	21	definition	definition	NOUN
ejpam-6921	131	22	2	2	NUM
ejpam-6921	131	23	.	.	PUNCT
ejpam-6921	132	1	the	the	DET
ejpam-6921	132	2	efficient	efficient	ADJ
ejpam-6921	132	3	solution	solution	NOUN
ejpam-6921	132	4	(	(	PUNCT
ejpam-6921	132	5	λ0	λ0	NOUN
ejpam-6921	132	6	,	,	PUNCT
ejpam-6921	132	7	π0	π0	NOUN
ejpam-6921	132	8	)	)	PUNCT
ejpam-6921	132	9	∈	∈	PROPN
ejpam-6921	132	10	g	g	PROPN
ejpam-6921	132	11	is	be	AUX
ejpam-6921	132	12	called	call	VERB
ejpam-6921	132	13	properly	properly	ADV
ejpam-6921	132	14	efficient	efficient	ADJ
ejpam-6921	132	15	solution	solution	NOUN
ejpam-6921	132	16	for	for	ADP
ejpam-6921	132	17	(	(	PUNCT
ejpam-6921	132	18	problem	problem	NOUN
ejpam-6921	132	19	)	)	PUNCT
ejpam-6921	132	20	if	if	SCONJ
ejpam-6921	132	21	(	(	PUNCT
ejpam-6921	132	22	∃	∃	PROPN
ejpam-6921	132	23	)	)	PUNCT
ejpam-6921	133	1	k	k	NOUN
ejpam-6921	133	2	>	>	PUNCT
ejpam-6921	133	3	0	0	NUM
ejpam-6921	133	4	fulfilling∫	fulfilling∫	NOUN
ejpam-6921	133	5	k	k	PROPN
ejpam-6921	133	6	f	f	PROPN
ejpam-6921	133	7	δ	δ	PROPN
ejpam-6921	133	8	(	(	PUNCT
ejpam-6921	133	9	x	x	X
ejpam-6921	133	10	,	,	PUNCT
ejpam-6921	133	11	λ0(x	λ0(x	NOUN
ejpam-6921	133	12	)	)	PUNCT
ejpam-6921	133	13	,	,	PUNCT
ejpam-6921	133	14	π0(x	π0(x	NOUN
ejpam-6921	133	15	)	)	PUNCT
ejpam-6921	133	16	)	)	PUNCT
ejpam-6921	133	17	dw	dw	PROPN
ejpam-6921	134	1	−	−	PROPN
ejpam-6921	134	2	∫	∫	PROPN
ejpam-6921	135	1	k	k	PROPN
ejpam-6921	135	2	f	f	PROPN
ejpam-6921	135	3	δ(x	δ(x	PROPN
ejpam-6921	135	4	,	,	PUNCT
ejpam-6921	135	5	λ(x	λ(x	PROPN
ejpam-6921	135	6	)	)	PUNCT
ejpam-6921	135	7	,	,	PUNCT
ejpam-6921	135	8	π(x))dw	π(x))dw	PROPN
ejpam-6921	135	9	≤	≤	PROPN
ejpam-6921	136	1	k	k	PROPN
ejpam-6921	136	2	(	(	PUNCT
ejpam-6921	136	3	∫	∫	PROPN
ejpam-6921	136	4	k	k	PROPN
ejpam-6921	136	5	f	f	PROPN
ejpam-6921	136	6	i(x	i(x	PROPN
ejpam-6921	136	7	,	,	PUNCT
ejpam-6921	136	8	λ(x	λ(x	PROPN
ejpam-6921	136	9	)	)	PUNCT
ejpam-6921	136	10	,	,	PUNCT
ejpam-6921	136	11	π(x))dw	π(x))dw	PROPN
ejpam-6921	137	1	−	−	PROPN
ejpam-6921	137	2	∫	∫	PROPN
ejpam-6921	138	1	k	k	PROPN
ejpam-6921	138	2	f	f	PROPN
ejpam-6921	139	1	i	i	PRON
ejpam-6921	139	2	(	(	PUNCT
ejpam-6921	139	3	x	x	NOUN
ejpam-6921	139	4	,	,	PUNCT
ejpam-6921	139	5	λ0(x	λ0(x	NOUN
ejpam-6921	139	6	)	)	PUNCT
ejpam-6921	139	7	,	,	PUNCT
ejpam-6921	139	8	π0(x	π0(x	NOUN
ejpam-6921	139	9	)	)	PUNCT
ejpam-6921	139	10	)	)	PUNCT
ejpam-6921	139	11	dw	dw	PROPN
ejpam-6921	139	12	)	)	PUNCT
ejpam-6921	139	13	for	for	ADP
ejpam-6921	139	14	δ	δ	PROPN
ejpam-6921	139	15	∈	∈	PROPN
ejpam-6921	139	16	{	{	PUNCT
ejpam-6921	139	17	1	1	NUM
ejpam-6921	139	18	,	,	PUNCT
ejpam-6921	139	19	2	2	NUM
ejpam-6921	139	20	,	,	PUNCT
ejpam-6921	139	21	.	.	PUNCT
ejpam-6921	139	22	.	.	PUNCT
ejpam-6921	139	23	.	.	PUNCT
ejpam-6921	140	1	,	,	PUNCT
ejpam-6921	140	2	q	q	X
ejpam-6921	140	3	}	}	PUNCT
ejpam-6921	140	4	and	and	CCONJ
ejpam-6921	140	5	some	some	DET
ejpam-6921	140	6	i	i	PROPN
ejpam-6921	140	7	,	,	PUNCT
ejpam-6921	140	8	with∫	with∫	NOUN
ejpam-6921	140	9	k	k	PROPN
ejpam-6921	141	1	f	f	PROPN
ejpam-6921	141	2	i(x	i(x	PROPN
ejpam-6921	141	3	,	,	PUNCT
ejpam-6921	141	4	λ(x	λ(x	PROPN
ejpam-6921	141	5	)	)	PUNCT
ejpam-6921	141	6	,	,	PUNCT
ejpam-6921	141	7	π(x))dw	π(x))dw	PROPN
ejpam-6921	141	8	>	>	X
ejpam-6921	141	9	∫	∫	PROPN
ejpam-6921	142	1	k	k	X
ejpam-6921	142	2	f	f	PROPN
ejpam-6921	143	1	i	i	PRON
ejpam-6921	143	2	(	(	PUNCT
ejpam-6921	143	3	x	x	NOUN
ejpam-6921	143	4	,	,	PUNCT
ejpam-6921	143	5	λ0(x	λ0(x	NOUN
ejpam-6921	143	6	)	)	PUNCT
ejpam-6921	143	7	,	,	PUNCT
ejpam-6921	143	8	π0(x	π0(x	NOUN
ejpam-6921	143	9	)	)	PUNCT
ejpam-6921	143	10	)	)	PUNCT
ejpam-6921	143	11	dw	dw	NOUN
ejpam-6921	143	12	for	for	ADP
ejpam-6921	143	13	(	(	PUNCT
ejpam-6921	143	14	λ	λ	PROPN
ejpam-6921	143	15	,	,	PUNCT
ejpam-6921	143	16	π	π	NOUN
ejpam-6921	143	17	)	)	PUNCT
ejpam-6921	143	18	∈	∈	PROPN
ejpam-6921	143	19	g	g	PROPN
ejpam-6921	143	20	,	,	PUNCT
ejpam-6921	143	21	and∫	and∫	PROPN
ejpam-6921	144	1	k	k	PROPN
ejpam-6921	144	2	f	f	PROPN
ejpam-6921	144	3	δ(x	δ(x	PROPN
ejpam-6921	144	4	,	,	PUNCT
ejpam-6921	144	5	λ(x	λ(x	PROPN
ejpam-6921	144	6	)	)	PUNCT
ejpam-6921	144	7	,	,	PUNCT
ejpam-6921	144	8	π(x))dw	π(x))dw	PROPN
ejpam-6921	145	1	<	<	X
ejpam-6921	145	2	∫	∫	PROPN
ejpam-6921	146	1	k	k	PROPN
ejpam-6921	146	2	f	f	PROPN
ejpam-6921	146	3	δ	δ	PROPN
ejpam-6921	146	4	(	(	PUNCT
ejpam-6921	146	5	x	x	X
ejpam-6921	146	6	,	,	PUNCT
ejpam-6921	146	7	λ0(x	λ0(x	NOUN
ejpam-6921	146	8	)	)	PUNCT
ejpam-6921	146	9	,	,	PUNCT
ejpam-6921	146	10	π0(x	π0(x	NOUN
ejpam-6921	146	11	)	)	PUNCT
ejpam-6921	146	12	)	)	PUNCT
ejpam-6921	147	1	dw	dw	PROPN
ejpam-6921	147	2	.	.	PROPN
ejpam-6921	147	3	definition	definition	NOUN
ejpam-6921	147	4	3	3	NUM
ejpam-6921	147	5	.	.	PUNCT
ejpam-6921	148	1	the	the	DET
ejpam-6921	148	2	pair	pair	NOUN
ejpam-6921	148	3	(	(	PUNCT
ejpam-6921	148	4	λ0	λ0	NOUN
ejpam-6921	148	5	,	,	PUNCT
ejpam-6921	148	6	π0	π0	NOUN
ejpam-6921	148	7	)	)	PUNCT
ejpam-6921	148	8	∈	∈	PROPN
ejpam-6921	148	9	g	g	PROPN
ejpam-6921	148	10	is	be	AUX
ejpam-6921	148	11	called	call	VERB
ejpam-6921	148	12	improperly	improperly	ADV
ejpam-6921	148	13	efficient	efficient	ADJ
ejpam-6921	148	14	solution	solution	NOUN
ejpam-6921	148	15	for	for	ADP
ejpam-6921	148	16	(	(	PUNCT
ejpam-6921	148	17	problem	problem	NOUN
ejpam-6921	148	18	)	)	PUNCT
ejpam-6921	148	19	if	if	SCONJ
ejpam-6921	148	20	for	for	ADP
ejpam-6921	148	21	every	every	DET
ejpam-6921	148	22	sufficiently	sufficiently	ADV
ejpam-6921	148	23	large	large	ADJ
ejpam-6921	148	24	k	k	PROPN
ejpam-6921	148	25	>	>	X
ejpam-6921	148	26	0	0	PROPN
ejpam-6921	148	27	,	,	PUNCT
ejpam-6921	148	28	there	there	PRON
ejpam-6921	148	29	exist	exist	VERB
ejpam-6921	148	30	(	(	PUNCT
ejpam-6921	148	31	λ	λ	X
ejpam-6921	148	32	,	,	PUNCT
ejpam-6921	148	33	π	π	NOUN
ejpam-6921	148	34	)	)	PUNCT
ejpam-6921	148	35	∈	∈	PROPN
ejpam-6921	148	36	g	g	PROPN
ejpam-6921	148	37	and	and	CCONJ
ejpam-6921	148	38	δ	δ	PROPN
ejpam-6921	148	39	∈	∈	PROPN
ejpam-6921	148	40	{	{	PUNCT
ejpam-6921	148	41	1	1	NUM
ejpam-6921	148	42	,	,	PUNCT
ejpam-6921	148	43	2	2	NUM
ejpam-6921	148	44	,	,	PUNCT
ejpam-6921	148	45	.	.	PUNCT
ejpam-6921	148	46	.	.	PUNCT
ejpam-6921	148	47	.	.	PUNCT
ejpam-6921	149	1	,	,	PUNCT
ejpam-6921	149	2	q	q	X
ejpam-6921	149	3	}	}	PUNCT
ejpam-6921	149	4	fulfilling	fulfil	VERB
ejpam-6921	149	5	∫	∫	PROPN
ejpam-6921	150	1	k	k	PROPN
ejpam-6921	150	2	f	f	PROPN
ejpam-6921	150	3	δ(x	δ(x	PROPN
ejpam-6921	150	4	,	,	PUNCT
ejpam-6921	150	5	λ(x	λ(x	PROPN
ejpam-6921	150	6	)	)	PUNCT
ejpam-6921	150	7	,	,	PUNCT
ejpam-6921	150	8	π(x))dw	π(x))dw	PROPN
ejpam-6921	151	1	<	<	X
ejpam-6921	151	2	∫	∫	PROPN
ejpam-6921	152	1	k	k	PROPN
ejpam-6921	152	2	f	f	PROPN
ejpam-6921	152	3	δ	δ	PROPN
ejpam-6921	152	4	(	(	PUNCT
ejpam-6921	152	5	x	x	X
ejpam-6921	152	6	,	,	PUNCT
ejpam-6921	152	7	λ0(x	λ0(x	NOUN
ejpam-6921	152	8	)	)	PUNCT
ejpam-6921	152	9	,	,	PUNCT
ejpam-6921	152	10	π0(x	π0(x	NOUN
ejpam-6921	152	11	)	)	PUNCT
ejpam-6921	152	12	)	)	PUNCT
ejpam-6921	152	13	dw	dw	PROPN
ejpam-6921	152	14	and	and	CCONJ
ejpam-6921	152	15	∫	∫	PROPN
ejpam-6921	153	1	k	k	PROPN
ejpam-6921	153	2	f	f	PROPN
ejpam-6921	153	3	δ	δ	PROPN
ejpam-6921	153	4	(	(	PUNCT
ejpam-6921	153	5	x	x	X
ejpam-6921	153	6	,	,	PUNCT
ejpam-6921	153	7	λ0(x	λ0(x	NOUN
ejpam-6921	153	8	)	)	PUNCT
ejpam-6921	153	9	,	,	PUNCT
ejpam-6921	153	10	π0(x	π0(x	NOUN
ejpam-6921	153	11	)	)	PUNCT
ejpam-6921	153	12	)	)	PUNCT
ejpam-6921	154	1	dw	dw	PROPN
ejpam-6921	155	1	−	−	PROPN
ejpam-6921	155	2	∫	∫	PROPN
ejpam-6921	156	1	k	k	PROPN
ejpam-6921	156	2	f	f	PROPN
ejpam-6921	156	3	δ(x	δ(x	PROPN
ejpam-6921	156	4	,	,	PUNCT
ejpam-6921	156	5	λ(x	λ(x	PROPN
ejpam-6921	156	6	)	)	PUNCT
ejpam-6921	156	7	,	,	PUNCT
ejpam-6921	156	8	π(x))dw	π(x))dw	PROPN
ejpam-6921	156	9	>	>	X
ejpam-6921	157	1	k	k	PROPN
ejpam-6921	157	2	(	(	PUNCT
ejpam-6921	157	3	∫	∫	PROPN
ejpam-6921	157	4	k	k	PROPN
ejpam-6921	157	5	f	f	PROPN
ejpam-6921	157	6	i(x	i(x	PROPN
ejpam-6921	157	7	,	,	PUNCT
ejpam-6921	157	8	λ(x	λ(x	PROPN
ejpam-6921	157	9	)	)	PUNCT
ejpam-6921	157	10	,	,	PUNCT
ejpam-6921	157	11	π(x))dw	π(x))dw	PROPN
ejpam-6921	158	1	−	−	PROPN
ejpam-6921	158	2	∫	∫	PROPN
ejpam-6921	159	1	k	k	PROPN
ejpam-6921	159	2	f	f	PROPN
ejpam-6921	160	1	i	i	PRON
ejpam-6921	160	2	(	(	PUNCT
ejpam-6921	160	3	x	x	NOUN
ejpam-6921	160	4	,	,	PUNCT
ejpam-6921	160	5	λ0(x	λ0(x	NOUN
ejpam-6921	160	6	)	)	PUNCT
ejpam-6921	160	7	,	,	PUNCT
ejpam-6921	160	8	π0(x	π0(x	NOUN
ejpam-6921	160	9	)	)	PUNCT
ejpam-6921	160	10	)	)	PUNCT
ejpam-6921	160	11	dw	dw	PROPN
ejpam-6921	160	12	)	)	PUNCT
ejpam-6921	160	13	for	for	ADP
ejpam-6921	160	14	i	i	PROPN
ejpam-6921	160	15	∈	∈	PROPN
ejpam-6921	160	16	{	{	PUNCT
ejpam-6921	160	17	1	1	NUM
ejpam-6921	160	18	,	,	PUNCT
ejpam-6921	160	19	2	2	NUM
ejpam-6921	160	20	,	,	PUNCT
ejpam-6921	160	21	.	.	PUNCT
ejpam-6921	160	22	.	.	PUNCT
ejpam-6921	160	23	.	.	PUNCT
ejpam-6921	161	1	,	,	PUNCT
ejpam-6921	161	2	q	q	X
ejpam-6921	161	3	}	}	PUNCT
ejpam-6921	161	4	verifying∫	verifying∫	NOUN
ejpam-6921	161	5	k	k	PROPN
ejpam-6921	161	6	f	f	PROPN
ejpam-6921	161	7	i(x	i(x	PROPN
ejpam-6921	161	8	,	,	PUNCT
ejpam-6921	161	9	λ(x	λ(x	PROPN
ejpam-6921	161	10	)	)	PUNCT
ejpam-6921	161	11	,	,	PUNCT
ejpam-6921	161	12	π(x))dw	π(x))dw	PROPN
ejpam-6921	161	13	>	>	X
ejpam-6921	161	14	∫	∫	PROPN
ejpam-6921	162	1	k	k	X
ejpam-6921	162	2	f	f	PROPN
ejpam-6921	163	1	i	i	PRON
ejpam-6921	163	2	(	(	PUNCT
ejpam-6921	163	3	x	x	NOUN
ejpam-6921	163	4	,	,	PUNCT
ejpam-6921	163	5	λ0(x	λ0(x	NOUN
ejpam-6921	163	6	)	)	PUNCT
ejpam-6921	163	7	,	,	PUNCT
ejpam-6921	163	8	π0(x	π0(x	NOUN
ejpam-6921	163	9	)	)	PUNCT
ejpam-6921	163	10	)	)	PUNCT
ejpam-6921	164	1	dw	dw	PROPN
ejpam-6921	164	2	.	.	PUNCT
ejpam-6921	164	3	t.	t.	PROPN
ejpam-6921	164	4	saeed	saeed	PROPN
ejpam-6921	164	5	,	,	PUNCT
ejpam-6921	164	6	s.	s.	PROPN
ejpam-6921	164	7	treanţă	treanţă	PROPN
ejpam-6921	164	8	/	/	SYM
ejpam-6921	164	9	eur	eur	PROPN
ejpam-6921	164	10	.	.	PUNCT
ejpam-6921	165	1	j.	j.	PROPN
ejpam-6921	165	2	pure	pure	PROPN
ejpam-6921	165	3	appl	appl	PROPN
ejpam-6921	165	4	.	.	PROPN
ejpam-6921	165	5	math	math	PROPN
ejpam-6921	165	6	,	,	PUNCT
ejpam-6921	165	7	18	18	NUM
ejpam-6921	165	8	(	(	PUNCT
ejpam-6921	165	9	4	4	NUM
ejpam-6921	165	10	)	)	PUNCT
ejpam-6921	165	11	(	(	PUNCT
ejpam-6921	165	12	2025	2025	NUM
ejpam-6921	165	13	)	)	PUNCT
ejpam-6921	165	14	,	,	PUNCT
ejpam-6921	165	15	6921	6921	NUM
ejpam-6921	165	16	6	6	NUM
ejpam-6921	165	17	of	of	ADP
ejpam-6921	165	18	14	14	NUM
ejpam-6921	165	19	definition	definition	NOUN
ejpam-6921	165	20	4	4	NUM
ejpam-6921	165	21	.	.	PUNCT
ejpam-6921	166	1	the	the	DET
ejpam-6921	166	2	pair	pair	NOUN
ejpam-6921	166	3	(	(	PUNCT
ejpam-6921	166	4	λ0	λ0	NOUN
ejpam-6921	166	5	,	,	PUNCT
ejpam-6921	166	6	π0	π0	NOUN
ejpam-6921	166	7	)	)	PUNCT
ejpam-6921	166	8	∈	∈	PROPN
ejpam-6921	166	9	g	g	PROPN
ejpam-6921	166	10	is	be	AUX
ejpam-6921	166	11	called	call	VERB
ejpam-6921	166	12	weak	weak	ADJ
ejpam-6921	166	13	efficient	efficient	ADJ
ejpam-6921	166	14	solution	solution	NOUN
ejpam-6921	166	15	for	for	ADP
ejpam-6921	166	16	(	(	PUNCT
ejpam-6921	166	17	problem	problem	NOUN
ejpam-6921	166	18	)	)	PUNCT
ejpam-6921	166	19	if	if	SCONJ
ejpam-6921	166	20	there	there	PRON
ejpam-6921	166	21	is	be	VERB
ejpam-6921	166	22	no	no	DET
ejpam-6921	166	23	(	(	PUNCT
ejpam-6921	166	24	λ	λ	PROPN
ejpam-6921	166	25	,	,	PUNCT
ejpam-6921	166	26	π	π	NOUN
ejpam-6921	166	27	)	)	PUNCT
ejpam-6921	166	28	∈	∈	PROPN
ejpam-6921	166	29	g	g	PROPN
ejpam-6921	166	30	satisfying∫	satisfying∫	NOUN
ejpam-6921	166	31	k	k	PROPN
ejpam-6921	166	32	f	f	PROPN
ejpam-6921	166	33	δ	δ	PROPN
ejpam-6921	166	34	(	(	PUNCT
ejpam-6921	166	35	x	x	X
ejpam-6921	166	36	,	,	PUNCT
ejpam-6921	166	37	λ0(x	λ0(x	NOUN
ejpam-6921	166	38	)	)	PUNCT
ejpam-6921	166	39	,	,	PUNCT
ejpam-6921	166	40	π0(x	π0(x	NOUN
ejpam-6921	166	41	)	)	PUNCT
ejpam-6921	166	42	)	)	PUNCT
ejpam-6921	167	1	dw	dw	PROPN
ejpam-6921	167	2	>	>	X
ejpam-6921	168	1	∫	∫	PROPN
ejpam-6921	169	1	k	k	PROPN
ejpam-6921	169	2	f	f	PROPN
ejpam-6921	169	3	δ(x	δ(x	PROPN
ejpam-6921	169	4	,	,	PUNCT
ejpam-6921	169	5	λ(x	λ(x	PROPN
ejpam-6921	169	6	)	)	PUNCT
ejpam-6921	169	7	,	,	PUNCT
ejpam-6921	169	8	π(x))dw	π(x))dw	PROPN
ejpam-6921	169	9	,	,	PUNCT
ejpam-6921	169	10	for	for	ADP
ejpam-6921	169	11	all	all	DET
ejpam-6921	169	12	δ	δ	PROPN
ejpam-6921	169	13	∈	∈	PROPN
ejpam-6921	169	14	{	{	PUNCT
ejpam-6921	169	15	1	1	NUM
ejpam-6921	169	16	,	,	PUNCT
ejpam-6921	169	17	2	2	NUM
ejpam-6921	169	18	,	,	PUNCT
ejpam-6921	169	19	.	.	PUNCT
ejpam-6921	169	20	.	.	PUNCT
ejpam-6921	169	21	.	.	PUNCT
ejpam-6921	170	1	,	,	PUNCT
ejpam-6921	170	2	q	q	X
ejpam-6921	170	3	}	}	PUNCT
ejpam-6921	170	4	.	.	PUNCT
ejpam-6921	171	1	remark	remark	NOUN
ejpam-6921	171	2	1	1	NUM
ejpam-6921	171	3	.	.	PUNCT
ejpam-6921	172	1	we	we	PRON
ejpam-6921	172	2	can	can	AUX
ejpam-6921	172	3	remark	remark	VERB
ejpam-6921	172	4	that	that	SCONJ
ejpam-6921	172	5	if	if	SCONJ
ejpam-6921	172	6	(	(	PUNCT
ejpam-6921	172	7	λ0	λ0	NOUN
ejpam-6921	172	8	,	,	PUNCT
ejpam-6921	172	9	π0	π0	NOUN
ejpam-6921	172	10	)	)	PUNCT
ejpam-6921	172	11	∈	∈	PROPN
ejpam-6921	172	12	g	g	PROPN
ejpam-6921	172	13	is	be	AUX
ejpam-6921	172	14	an	an	DET
ejpam-6921	172	15	efficient	efficient	ADJ
ejpam-6921	172	16	solution	solution	NOUN
ejpam-6921	172	17	for	for	ADP
ejpam-6921	172	18	(	(	PUNCT
ejpam-6921	172	19	problem	problem	NOUN
ejpam-6921	172	20	)	)	PUNCT
ejpam-6921	172	21	,	,	PUNCT
ejpam-6921	172	22	then	then	ADV
ejpam-6921	172	23	it	it	PRON
ejpam-6921	172	24	is	be	AUX
ejpam-6921	172	25	a	a	DET
ejpam-6921	172	26	weak	weak	ADJ
ejpam-6921	172	27	efficient	efficient	ADJ
ejpam-6921	172	28	solution	solution	NOUN
ejpam-6921	172	29	for	for	ADP
ejpam-6921	172	30	(	(	PUNCT
ejpam-6921	172	31	problem	problem	NOUN
ejpam-6921	172	32	)	)	PUNCT
ejpam-6921	172	33	.	.	PUNCT
ejpam-6921	173	1	definition	definition	NOUN
ejpam-6921	173	2	5	5	NUM
ejpam-6921	173	3	.	.	PUNCT
ejpam-6921	174	1	we	we	PRON
ejpam-6921	174	2	say	say	VERB
ejpam-6921	174	3	that	that	SCONJ
ejpam-6921	174	4	the	the	DET
ejpam-6921	174	5	multiple	multiple	ADJ
ejpam-6921	174	6	integral	integral	ADJ
ejpam-6921	174	7	type	type	NOUN
ejpam-6921	174	8	functional	functional	ADJ
ejpam-6921	174	9	e(λ̄	e(λ̄	PROPN
ejpam-6921	174	10	,	,	PUNCT
ejpam-6921	174	11	ω	ω	NOUN
ejpam-6921	174	12	)	)	PUNCT
ejpam-6921	174	13	=	=	SYM
ejpam-6921	175	1	∫	∫	PROPN
ejpam-6921	175	2	k	k	PROPN
ejpam-6921	175	3	χ(x	χ(x	PROPN
ejpam-6921	175	4	,	,	PUNCT
ejpam-6921	175	5	λ̄(x	λ̄(x	PROPN
ejpam-6921	175	6	)	)	PUNCT
ejpam-6921	175	7	,	,	PUNCT
ejpam-6921	175	8	λ̄γ(x	λ̄γ(x	PROPN
ejpam-6921	175	9	)	)	PUNCT
ejpam-6921	175	10	,	,	PUNCT
ejpam-6921	175	11	π̄(x	π̄(x	PROPN
ejpam-6921	175	12	)	)	PUNCT
ejpam-6921	175	13	,	,	PUNCT
ejpam-6921	175	14	ω(x	ω(x	NUM
ejpam-6921	175	15	)	)	PUNCT
ejpam-6921	175	16	,	,	PUNCT
ejpam-6921	175	17	ωξ(x	ωξ(x	NUM
ejpam-6921	175	18	)	)	PUNCT
ejpam-6921	175	19	,	,	PUNCT
ejpam-6921	175	20	ζ(x))dw	ζ(x))dw	PROPN
ejpam-6921	175	21	is	be	AUX
ejpam-6921	175	22	called	call	VERB
ejpam-6921	175	23	pseudoinvex	pseudoinvex	NOUN
ejpam-6921	175	24	at	at	ADP
ejpam-6921	175	25	λ	λ	PROPN
ejpam-6921	175	26	,	,	PUNCT
ejpam-6921	175	27	λγ	λγ	PROPN
ejpam-6921	175	28	and	and	CCONJ
ejpam-6921	175	29	π	π	X
ejpam-6921	175	30	if	if	SCONJ
ejpam-6921	175	31	there	there	PRON
ejpam-6921	175	32	exist	exist	VERB
ejpam-6921	175	33	z	z	PROPN
ejpam-6921	175	34	∈	∈	PROPN
ejpam-6921	175	35	rn	rn	PROPN
ejpam-6921	175	36	,	,	PUNCT
ejpam-6921	175	37	with	with	ADP
ejpam-6921	175	38	z(x	z(x	NUM
ejpam-6921	175	39	,	,	PUNCT
ejpam-6921	175	40	λ	λ	PROPN
ejpam-6921	175	41	,	,	PUNCT
ejpam-6921	175	42	λγ	λγ	PROPN
ejpam-6921	175	43	,	,	PUNCT
ejpam-6921	175	44	π	π	PROPN
ejpam-6921	175	45	,	,	PUNCT
ejpam-6921	175	46	λ	λ	PROPN
ejpam-6921	175	47	,	,	PUNCT
ejpam-6921	175	48	λγ	λγ	PROPN
ejpam-6921	175	49	,	,	PUNCT
ejpam-6921	175	50	π	π	PROPN
ejpam-6921	175	51	)	)	PUNCT
ejpam-6921	175	52	=	=	SYM
ejpam-6921	175	53	z|x	z|x	NOUN
ejpam-6921	175	54	=	=	SYM
ejpam-6921	175	55	x1,x	x1,x	PROPN
ejpam-6921	175	56	=	=	ADJ
ejpam-6921	175	57	x2	x2	NOUN
ejpam-6921	175	58	=	=	SYM
ejpam-6921	175	59	0	0	NUM
ejpam-6921	175	60	,	,	PUNCT
ejpam-6921	175	61	(	(	PUNCT
ejpam-6921	175	62	vanishes	vanish	VERB
ejpam-6921	175	63	on	on	ADP
ejpam-6921	175	64	every	every	DET
ejpam-6921	175	65	face	face	NOUN
ejpam-6921	175	66	of	of	ADP
ejpam-6921	175	67	∂k	∂k	PROPN
ejpam-6921	175	68	)	)	PUNCT
ejpam-6921	175	69	and	and	CCONJ
ejpam-6921	175	70	µ	µ	PROPN
ejpam-6921	175	71	∈	∈	NOUN
ejpam-6921	175	72	rs	rs	NOUN
ejpam-6921	175	73	,	,	PUNCT
ejpam-6921	175	74	with	with	ADP
ejpam-6921	175	75	µ(x	µ(x	ADJ
ejpam-6921	175	76	,	,	PUNCT
ejpam-6921	175	77	λ	λ	PROPN
ejpam-6921	175	78	,	,	PUNCT
ejpam-6921	175	79	λγ	λγ	PROPN
ejpam-6921	175	80	,	,	PUNCT
ejpam-6921	175	81	π	π	PROPN
ejpam-6921	175	82	,	,	PUNCT
ejpam-6921	175	83	λ	λ	PROPN
ejpam-6921	175	84	,	,	PUNCT
ejpam-6921	175	85	λγ	λγ	PROPN
ejpam-6921	175	86	,	,	PUNCT
ejpam-6921	175	87	π	π	PROPN
ejpam-6921	175	88	)	)	PUNCT
ejpam-6921	175	89	=	=	SYM
ejpam-6921	175	90	0	0	NUM
ejpam-6921	175	91	,	,	PUNCT
ejpam-6921	175	92	such	such	ADJ
ejpam-6921	175	93	that	that	SCONJ
ejpam-6921	175	94	,	,	PUNCT
ejpam-6921	175	95	for	for	ADP
ejpam-6921	175	96	each	each	DET
ejpam-6921	175	97	ω	ω	NOUN
ejpam-6921	175	98	,	,	PUNCT
ejpam-6921	175	99	ωξ	ωξ	ADP
ejpam-6921	175	100	and	and	CCONJ
ejpam-6921	175	101	ζ	ζ	NOUN
ejpam-6921	175	102	,	,	PUNCT
ejpam-6921	175	103	we	we	PRON
ejpam-6921	175	104	have∫	have∫	VERB
ejpam-6921	175	105	k	k	X
ejpam-6921	176	1	[	[	PUNCT
ejpam-6921	176	2	ztχλ̄(x	ztχλ̄(x	PROPN
ejpam-6921	176	3	,	,	PUNCT
ejpam-6921	176	4	λ	λ	PROPN
ejpam-6921	176	5	,	,	PUNCT
ejpam-6921	176	6	λγ	λγ	PROPN
ejpam-6921	176	7	,	,	PUNCT
ejpam-6921	176	8	π	π	PROPN
ejpam-6921	176	9	,	,	PUNCT
ejpam-6921	176	10	ω	ω	PROPN
ejpam-6921	176	11	,	,	PUNCT
ejpam-6921	176	12	ωξ	ωξ	ADP
ejpam-6921	176	13	,	,	PUNCT
ejpam-6921	176	14	ζ	ζ	NOUN
ejpam-6921	176	15	)	)	PUNCT
ejpam-6921	176	16	+	+	CCONJ
ejpam-6921	176	17	µtχπ̄(x	µtχπ̄(x	ADJ
ejpam-6921	176	18	,	,	PUNCT
ejpam-6921	176	19	λ	λ	PROPN
ejpam-6921	176	20	,	,	PUNCT
ejpam-6921	176	21	λγ	λγ	PROPN
ejpam-6921	176	22	,	,	PUNCT
ejpam-6921	176	23	π	π	PROPN
ejpam-6921	176	24	,	,	PUNCT
ejpam-6921	176	25	ω	ω	PROPN
ejpam-6921	176	26	,	,	PUNCT
ejpam-6921	176	27	ωξ	ωξ	ADP
ejpam-6921	176	28	,	,	PUNCT
ejpam-6921	176	29	ζ	ζ	NOUN
ejpam-6921	176	30	)	)	PUNCT
ejpam-6921	176	31	+	+	SYM
ejpam-6921	176	32	dzt	dzt	PROPN
ejpam-6921	176	33	dxγ	dxγ	NOUN
ejpam-6921	176	34	χλ̄γ	χλ̄γ	PROPN
ejpam-6921	176	35	(	(	PUNCT
ejpam-6921	176	36	x	x	X
ejpam-6921	176	37	,	,	PUNCT
ejpam-6921	176	38	λ	λ	PROPN
ejpam-6921	176	39	,	,	PUNCT
ejpam-6921	176	40	λγ	λγ	PROPN
ejpam-6921	176	41	,	,	PUNCT
ejpam-6921	176	42	π	π	PROPN
ejpam-6921	176	43	,	,	PUNCT
ejpam-6921	176	44	ω	ω	PROPN
ejpam-6921	176	45	,	,	PUNCT
ejpam-6921	176	46	ωξ	ωξ	ADP
ejpam-6921	176	47	,	,	PUNCT
ejpam-6921	176	48	ζ	ζ	NOUN
ejpam-6921	176	49	)	)	PUNCT
ejpam-6921	176	50	]	]	PUNCT
ejpam-6921	177	1	dw	dw	PROPN
ejpam-6921	177	2	≥	≥	NOUN
ejpam-6921	177	3	0	0	NUM
ejpam-6921	177	4	⇒	⇒	PROPN
ejpam-6921	177	5	∫	∫	PROPN
ejpam-6921	178	1	k	k	PROPN
ejpam-6921	178	2	χ(x	χ(x	PROPN
ejpam-6921	178	3	,	,	PUNCT
ejpam-6921	178	4	λ̄	λ̄	ADP
ejpam-6921	178	5	,	,	PUNCT
ejpam-6921	178	6	λ̄γ	λ̄γ	X
ejpam-6921	178	7	,	,	PUNCT
ejpam-6921	178	8	π̄	π̄	PROPN
ejpam-6921	178	9	,	,	PUNCT
ejpam-6921	178	10	ω	ω	NOUN
ejpam-6921	178	11	,	,	PUNCT
ejpam-6921	178	12	ωξ	ωξ	ADP
ejpam-6921	178	13	,	,	PUNCT
ejpam-6921	178	14	ζ)dw	ζ)dw	PROPN
ejpam-6921	178	15	≥	≥	NUM
ejpam-6921	178	16	∫	∫	PROPN
ejpam-6921	178	17	k	k	PROPN
ejpam-6921	179	1	χ(x	χ(x	PROPN
ejpam-6921	179	2	,	,	PUNCT
ejpam-6921	179	3	λ	λ	PROPN
ejpam-6921	179	4	,	,	PUNCT
ejpam-6921	179	5	λγ	λγ	PROPN
ejpam-6921	179	6	,	,	PUNCT
ejpam-6921	179	7	π	π	PROPN
ejpam-6921	179	8	,	,	PUNCT
ejpam-6921	179	9	ω	ω	PROPN
ejpam-6921	179	10	,	,	PUNCT
ejpam-6921	179	11	ωξ	ωξ	ADP
ejpam-6921	179	12	,	,	PUNCT
ejpam-6921	179	13	ζ)dw	ζ)dw	PROPN
ejpam-6921	179	14	,	,	PUNCT
ejpam-6921	179	15	for	for	ADP
ejpam-6921	179	16	all	all	DET
ejpam-6921	179	17	λ̄	λ̄	ADJ
ejpam-6921	179	18	,	,	PUNCT
ejpam-6921	179	19	λ̄γ	λ̄γ	PROPN
ejpam-6921	179	20	and	and	CCONJ
ejpam-6921	179	21	π̄.	π̄.	PUNCT
ejpam-6921	179	22	definition	definition	NOUN
ejpam-6921	179	23	6	6	NUM
ejpam-6921	179	24	.	.	PUNCT
ejpam-6921	180	1	we	we	PRON
ejpam-6921	180	2	say	say	VERB
ejpam-6921	180	3	that	that	SCONJ
ejpam-6921	180	4	the	the	DET
ejpam-6921	180	5	multiple	multiple	ADJ
ejpam-6921	180	6	integral	integral	ADJ
ejpam-6921	180	7	type	type	NOUN
ejpam-6921	180	8	functional	functional	ADJ
ejpam-6921	180	9	−	−	PROPN
ejpam-6921	180	10	∫	∫	PROPN
ejpam-6921	180	11	k	k	PROPN
ejpam-6921	180	12	χ(x	χ(x	PROPN
ejpam-6921	180	13	,	,	PUNCT
ejpam-6921	180	14	λ(x	λ(x	PROPN
ejpam-6921	180	15	)	)	PUNCT
ejpam-6921	180	16	,	,	PUNCT
ejpam-6921	180	17	λγ(x	λγ(x	ADV
ejpam-6921	180	18	)	)	PUNCT
ejpam-6921	180	19	,	,	PUNCT
ejpam-6921	180	20	π(x	π(x	ADP
ejpam-6921	180	21	)	)	PUNCT
ejpam-6921	180	22	,	,	PUNCT
ejpam-6921	180	23	ω̄(x	ω̄(x	PROPN
ejpam-6921	180	24	)	)	PUNCT
ejpam-6921	180	25	,	,	PUNCT
ejpam-6921	180	26	ω̄ξ(x	ω̄ξ(x	NOUN
ejpam-6921	180	27	)	)	PUNCT
ejpam-6921	180	28	,	,	PUNCT
ejpam-6921	180	29	ζ̄(x))dw	ζ̄(x))dw	PROPN
ejpam-6921	180	30	is	be	AUX
ejpam-6921	180	31	called	call	VERB
ejpam-6921	180	32	pseudoinvex	pseudoinvex	NOUN
ejpam-6921	180	33	at	at	ADP
ejpam-6921	180	34	ω	ω	NUM
ejpam-6921	180	35	,	,	PUNCT
ejpam-6921	180	36	ωξ	ωξ	ADP
ejpam-6921	180	37	and	and	CCONJ
ejpam-6921	180	38	ζ	ζ	NOUN
ejpam-6921	180	39	if	if	SCONJ
ejpam-6921	180	40	there	there	PRON
ejpam-6921	180	41	exist	exist	VERB
ejpam-6921	180	42	η	η	PROPN
ejpam-6921	180	43	∈	∈	PROPN
ejpam-6921	180	44	rm	rm	PROPN
ejpam-6921	180	45	,	,	PUNCT
ejpam-6921	180	46	with	with	ADP
ejpam-6921	180	47	η(x	η(x	PROPN
ejpam-6921	180	48	,	,	PUNCT
ejpam-6921	180	49	ω	ω	PROPN
ejpam-6921	180	50	,	,	PUNCT
ejpam-6921	180	51	ωξ	ωξ	ADP
ejpam-6921	180	52	,	,	PUNCT
ejpam-6921	180	53	ζ	ζ	PROPN
ejpam-6921	180	54	,	,	PUNCT
ejpam-6921	180	55	ω	ω	NOUN
ejpam-6921	180	56	,	,	PUNCT
ejpam-6921	180	57	ωξ	ωξ	ADP
ejpam-6921	180	58	,	,	PUNCT
ejpam-6921	180	59	ζ	ζ	NOUN
ejpam-6921	180	60	)	)	PUNCT
ejpam-6921	180	61	=	=	SYM
ejpam-6921	180	62	η|x	η|x	X
ejpam-6921	180	63	=	=	SYM
ejpam-6921	180	64	x1,x	x1,x	NOUN
ejpam-6921	180	65	=	=	ADJ
ejpam-6921	180	66	x2	x2	NOUN
ejpam-6921	180	67	=	=	SYM
ejpam-6921	180	68	0	0	NUM
ejpam-6921	180	69	,	,	PUNCT
ejpam-6921	180	70	(	(	PUNCT
ejpam-6921	180	71	vanishes	vanish	VERB
ejpam-6921	180	72	on	on	ADP
ejpam-6921	180	73	every	every	DET
ejpam-6921	180	74	face	face	NOUN
ejpam-6921	180	75	of	of	ADP
ejpam-6921	180	76	∂k	∂k	PROPN
ejpam-6921	180	77	)	)	PUNCT
ejpam-6921	180	78	and	and	CCONJ
ejpam-6921	180	79	ν	ν	PROPN
ejpam-6921	180	80	∈	∈	PROPN
ejpam-6921	180	81	rl	rl	PROPN
ejpam-6921	180	82	,	,	PUNCT
ejpam-6921	180	83	with	with	ADP
ejpam-6921	180	84	ν(x	ν(x	PROPN
ejpam-6921	180	85	,	,	PUNCT
ejpam-6921	180	86	ω	ω	NOUN
ejpam-6921	180	87	,	,	PUNCT
ejpam-6921	180	88	ωξ	ωξ	ADP
ejpam-6921	180	89	,	,	PUNCT
ejpam-6921	180	90	ζ	ζ	PROPN
ejpam-6921	180	91	,	,	PUNCT
ejpam-6921	180	92	ω	ω	NOUN
ejpam-6921	180	93	,	,	PUNCT
ejpam-6921	180	94	ωξ	ωξ	ADP
ejpam-6921	180	95	,	,	PUNCT
ejpam-6921	180	96	ζ	ζ	NOUN
ejpam-6921	180	97	)	)	PUNCT
ejpam-6921	180	98	=	=	SYM
ejpam-6921	180	99	0	0	NUM
ejpam-6921	180	100	,	,	PUNCT
ejpam-6921	180	101	such	such	ADJ
ejpam-6921	180	102	that	that	SCONJ
ejpam-6921	180	103	,	,	PUNCT
ejpam-6921	180	104	for	for	ADP
ejpam-6921	180	105	each	each	DET
ejpam-6921	180	106	λ	λ	PROPN
ejpam-6921	180	107	,	,	PUNCT
ejpam-6921	180	108	λγ	λγ	PROPN
ejpam-6921	180	109	and	and	CCONJ
ejpam-6921	180	110	π	π	X
ejpam-6921	180	111	,	,	PUNCT
ejpam-6921	180	112	we	we	PRON
ejpam-6921	180	113	have∫	have∫	VERB
ejpam-6921	180	114	k	k	X
ejpam-6921	180	115	[	[	PUNCT
ejpam-6921	180	116	ηtχω̄(x	ηtχω̄(x	PROPN
ejpam-6921	180	117	,	,	PUNCT
ejpam-6921	180	118	λ	λ	PROPN
ejpam-6921	180	119	,	,	PUNCT
ejpam-6921	180	120	λγ	λγ	PROPN
ejpam-6921	180	121	,	,	PUNCT
ejpam-6921	180	122	π	π	PROPN
ejpam-6921	180	123	,	,	PUNCT
ejpam-6921	180	124	ω	ω	PROPN
ejpam-6921	180	125	,	,	PUNCT
ejpam-6921	180	126	ωξ	ωξ	ADP
ejpam-6921	180	127	,	,	PUNCT
ejpam-6921	180	128	ζ	ζ	NOUN
ejpam-6921	180	129	)	)	PUNCT
ejpam-6921	180	130	+	+	PROPN
ejpam-6921	180	131	νtχζ̄(x	νtχζ̄(x	PROPN
ejpam-6921	180	132	,	,	PUNCT
ejpam-6921	180	133	λ	λ	PROPN
ejpam-6921	180	134	,	,	PUNCT
ejpam-6921	180	135	λγ	λγ	PROPN
ejpam-6921	180	136	,	,	PUNCT
ejpam-6921	180	137	π	π	PROPN
ejpam-6921	180	138	,	,	PUNCT
ejpam-6921	180	139	ω	ω	PROPN
ejpam-6921	180	140	,	,	PUNCT
ejpam-6921	180	141	ωξ	ωξ	ADP
ejpam-6921	180	142	,	,	PUNCT
ejpam-6921	180	143	ζ	ζ	NOUN
ejpam-6921	180	144	)	)	PUNCT
ejpam-6921	180	145	t.	t.	PROPN
ejpam-6921	180	146	saeed	saeed	PROPN
ejpam-6921	180	147	,	,	PUNCT
ejpam-6921	180	148	s.	s.	PROPN
ejpam-6921	180	149	treanţă	treanţă	PROPN
ejpam-6921	180	150	/	/	SYM
ejpam-6921	180	151	eur	eur	PROPN
ejpam-6921	180	152	.	.	PUNCT
ejpam-6921	181	1	j.	j.	PROPN
ejpam-6921	181	2	pure	pure	PROPN
ejpam-6921	181	3	appl	appl	PROPN
ejpam-6921	181	4	.	.	PROPN
ejpam-6921	181	5	math	math	PROPN
ejpam-6921	181	6	,	,	PUNCT
ejpam-6921	181	7	18	18	NUM
ejpam-6921	181	8	(	(	PUNCT
ejpam-6921	181	9	4	4	NUM
ejpam-6921	181	10	)	)	PUNCT
ejpam-6921	181	11	(	(	PUNCT
ejpam-6921	181	12	2025	2025	NUM
ejpam-6921	181	13	)	)	PUNCT
ejpam-6921	181	14	,	,	PUNCT
ejpam-6921	181	15	6921	6921	NUM
ejpam-6921	181	16	7	7	NUM
ejpam-6921	181	17	of	of	ADP
ejpam-6921	181	18	14	14	NUM
ejpam-6921	181	19	+	+	NUM
ejpam-6921	181	20	dηt	dηt	NOUN
ejpam-6921	181	21	dxξ	dxξ	NOUN
ejpam-6921	181	22	χω̄ξ	χω̄ξ	NOUN
ejpam-6921	181	23	(	(	PUNCT
ejpam-6921	181	24	x	x	X
ejpam-6921	181	25	,	,	PUNCT
ejpam-6921	181	26	λ	λ	PROPN
ejpam-6921	181	27	,	,	PUNCT
ejpam-6921	181	28	λγ	λγ	PROPN
ejpam-6921	181	29	,	,	PUNCT
ejpam-6921	181	30	π	π	PROPN
ejpam-6921	181	31	,	,	PUNCT
ejpam-6921	181	32	ω	ω	PROPN
ejpam-6921	181	33	,	,	PUNCT
ejpam-6921	181	34	ωξ	ωξ	ADP
ejpam-6921	181	35	,	,	PUNCT
ejpam-6921	181	36	ζ	ζ	NOUN
ejpam-6921	181	37	)	)	PUNCT
ejpam-6921	181	38	]	]	PUNCT
ejpam-6921	182	1	dw	dw	PROPN
ejpam-6921	182	2	≤	≤	NOUN
ejpam-6921	182	3	0	0	NUM
ejpam-6921	182	4	⇒	⇒	PROPN
ejpam-6921	182	5	∫	∫	PROPN
ejpam-6921	183	1	k	k	PROPN
ejpam-6921	183	2	χ(x	χ(x	PROPN
ejpam-6921	183	3	,	,	PUNCT
ejpam-6921	183	4	λ	λ	PROPN
ejpam-6921	183	5	,	,	PUNCT
ejpam-6921	183	6	λγ	λγ	PROPN
ejpam-6921	183	7	,	,	PUNCT
ejpam-6921	183	8	π	π	PROPN
ejpam-6921	183	9	,	,	PUNCT
ejpam-6921	183	10	ω̄	ω̄	ADP
ejpam-6921	183	11	,	,	PUNCT
ejpam-6921	183	12	ω̄ξ	ω̄ξ	PROPN
ejpam-6921	183	13	,	,	PUNCT
ejpam-6921	183	14	ζ̄)dw	ζ̄)dw	PROPN
ejpam-6921	183	15	≤	≤	PROPN
ejpam-6921	183	16	∫	∫	PROPN
ejpam-6921	184	1	k	k	PROPN
ejpam-6921	184	2	χ(x	χ(x	PROPN
ejpam-6921	184	3	,	,	PUNCT
ejpam-6921	184	4	λ	λ	PROPN
ejpam-6921	184	5	,	,	PUNCT
ejpam-6921	184	6	λγ	λγ	PROPN
ejpam-6921	184	7	,	,	PUNCT
ejpam-6921	184	8	π	π	PROPN
ejpam-6921	184	9	,	,	PUNCT
ejpam-6921	184	10	ω	ω	PROPN
ejpam-6921	184	11	,	,	PUNCT
ejpam-6921	184	12	ωξ	ωξ	ADP
ejpam-6921	184	13	,	,	PUNCT
ejpam-6921	184	14	ζ)dw	ζ)dw	PROPN
ejpam-6921	184	15	,	,	PUNCT
ejpam-6921	184	16	for	for	ADP
ejpam-6921	184	17	all	all	ADV
ejpam-6921	184	18	ω̄	ω̄	NOUN
ejpam-6921	184	19	,	,	PUNCT
ejpam-6921	184	20	ω̄ξ	ω̄ξ	NOUN
ejpam-6921	184	21	and	and	CCONJ
ejpam-6921	184	22	ζ̄.	ζ̄.	PUNCT
ejpam-6921	184	23	remark	remark	NOUN
ejpam-6921	184	24	2	2	NUM
ejpam-6921	184	25	.	.	PUNCT
ejpam-6921	185	1	in	in	ADP
ejpam-6921	185	2	the	the	DET
ejpam-6921	185	3	following	following	NOUN
ejpam-6921	185	4	,	,	PUNCT
ejpam-6921	185	5	we	we	PRON
ejpam-6921	185	6	briefly	briefly	ADV
ejpam-6921	185	7	write	write	VERB
ejpam-6921	185	8	z(x	z(x	NUM
ejpam-6921	185	9	,	,	PUNCT
ejpam-6921	185	10	λ	λ	PROPN
ejpam-6921	185	11	,	,	PUNCT
ejpam-6921	185	12	ω	ω	NOUN
ejpam-6921	185	13	)	)	PUNCT
ejpam-6921	185	14	for	for	ADP
ejpam-6921	185	15	z(x	z(x	NUM
ejpam-6921	185	16	,	,	PUNCT
ejpam-6921	185	17	λ	λ	PROPN
ejpam-6921	185	18	,	,	PUNCT
ejpam-6921	185	19	λγ	λγ	PROPN
ejpam-6921	185	20	,	,	PUNCT
ejpam-6921	185	21	π	π	PROPN
ejpam-6921	185	22	,	,	PUNCT
ejpam-6921	185	23	ω	ω	PROPN
ejpam-6921	185	24	,	,	PUNCT
ejpam-6921	185	25	ωξ	ωξ	ADP
ejpam-6921	185	26	,	,	PUNCT
ejpam-6921	185	27	ζ	ζ	NOUN
ejpam-6921	185	28	)	)	PUNCT
ejpam-6921	185	29	and	and	CCONJ
ejpam-6921	185	30	η(x	η(x	PROPN
ejpam-6921	185	31	,	,	PUNCT
ejpam-6921	185	32	λ	λ	PROPN
ejpam-6921	185	33	,	,	PUNCT
ejpam-6921	185	34	ω	ω	NOUN
ejpam-6921	185	35	)	)	PUNCT
ejpam-6921	185	36	for	for	ADP
ejpam-6921	185	37	η(x	η(x	NOUN
ejpam-6921	185	38	,	,	PUNCT
ejpam-6921	185	39	λ	λ	PROPN
ejpam-6921	185	40	,	,	PUNCT
ejpam-6921	185	41	λγ	λγ	PROPN
ejpam-6921	185	42	,	,	PUNCT
ejpam-6921	185	43	π	π	PROPN
ejpam-6921	185	44	,	,	PUNCT
ejpam-6921	185	45	ω	ω	PROPN
ejpam-6921	185	46	,	,	PUNCT
ejpam-6921	185	47	ωξ	ωξ	ADP
ejpam-6921	185	48	,	,	PUNCT
ejpam-6921	185	49	ζ	ζ	NOUN
ejpam-6921	185	50	)	)	PUNCT
ejpam-6921	185	51	.	.	PUNCT
ejpam-6921	186	1	in	in	ADP
ejpam-6921	186	2	addition	addition	NOUN
ejpam-6921	186	3	,	,	PUNCT
ejpam-6921	186	4	we	we	PRON
ejpam-6921	186	5	use	use	VERB
ejpam-6921	186	6	(	(	PUNCT
ejpam-6921	186	7	λ	λ	PROPN
ejpam-6921	186	8	,	,	PUNCT
ejpam-6921	186	9	ω	ω	NUM
ejpam-6921	186	10	)	)	PUNCT
ejpam-6921	186	11	instead	instead	ADV
ejpam-6921	186	12	of	of	ADP
ejpam-6921	186	13	(	(	PUNCT
ejpam-6921	186	14	λ	λ	PROPN
ejpam-6921	186	15	,	,	PUNCT
ejpam-6921	186	16	π	π	PROPN
ejpam-6921	186	17	,	,	PUNCT
ejpam-6921	186	18	ω	ω	PROPN
ejpam-6921	186	19	,	,	PUNCT
ejpam-6921	186	20	ζ	ζ	NOUN
ejpam-6921	186	21	)	)	PUNCT
ejpam-6921	186	22	.	.	PUNCT
ejpam-6921	187	1	3	3	X
ejpam-6921	187	2	.	.	X
ejpam-6921	187	3	main	main	ADJ
ejpam-6921	187	4	result	result	NOUN
ejpam-6921	187	5	in	in	ADP
ejpam-6921	187	6	this	this	DET
ejpam-6921	187	7	section	section	NOUN
ejpam-6921	187	8	,	,	PUNCT
ejpam-6921	187	9	according	accord	VERB
ejpam-6921	187	10	to	to	ADP
ejpam-6921	187	11	weir	weir	PROPN
ejpam-6921	187	12	[	[	X
ejpam-6921	187	13	34	34	NUM
ejpam-6921	187	14	]	]	PUNCT
ejpam-6921	187	15	,	,	PUNCT
ejpam-6921	187	16	we	we	PRON
ejpam-6921	187	17	introduce	introduce	VERB
ejpam-6921	187	18	the	the	DET
ejpam-6921	187	19	following	follow	VERB
ejpam-6921	187	20	symmetric	symmetric	ADJ
ejpam-6921	187	21	multidimensional	multidimensional	ADJ
ejpam-6921	187	22	multiobjective	multiobjective	ADJ
ejpam-6921	187	23	dual	dual	ADJ
ejpam-6921	187	24	programs	program	NOUN
ejpam-6921	187	25	:	:	PUNCT
ejpam-6921	187	26	(	(	PUNCT
ejpam-6921	187	27	p	p	X
ejpam-6921	187	28	)	)	PUNCT
ejpam-6921	187	29	min	min	NOUN
ejpam-6921	187	30	(	(	PUNCT
ejpam-6921	187	31	λ	λ	PROPN
ejpam-6921	187	32	,	,	PUNCT
ejpam-6921	187	33	ω	ω	NOUN
ejpam-6921	187	34	)	)	PUNCT
ejpam-6921	187	35			PROPN
ejpam-6921	187	36	∫	∫	PROPN
ejpam-6921	188	1	k	k	PROPN
ejpam-6921	188	2	χ1(x	χ1(x	PROPN
ejpam-6921	188	3	,	,	PUNCT
ejpam-6921	188	4	λ	λ	PROPN
ejpam-6921	188	5	,	,	PUNCT
ejpam-6921	188	6	λγ	λγ	PROPN
ejpam-6921	188	7	,	,	PUNCT
ejpam-6921	188	8	π	π	PROPN
ejpam-6921	188	9	,	,	PUNCT
ejpam-6921	188	10	ω	ω	PROPN
ejpam-6921	188	11	,	,	PUNCT
ejpam-6921	188	12	ωξ	ωξ	NOUN
ejpam-6921	188	13	,	,	PUNCT
ejpam-6921	188	14	ζ)dw∫	ζ)dw∫	PROPN
ejpam-6921	188	15	k	k	PROPN
ejpam-6921	188	16	υ1(x	υ1(x	PROPN
ejpam-6921	188	17	,	,	PUNCT
ejpam-6921	188	18	λ	λ	PROPN
ejpam-6921	188	19	,	,	PUNCT
ejpam-6921	188	20	λγ	λγ	PROPN
ejpam-6921	188	21	,	,	PUNCT
ejpam-6921	188	22	π	π	PROPN
ejpam-6921	188	23	,	,	PUNCT
ejpam-6921	188	24	ω	ω	PROPN
ejpam-6921	188	25	,	,	PUNCT
ejpam-6921	188	26	ωξ	ωξ	ADP
ejpam-6921	188	27	,	,	PUNCT
ejpam-6921	188	28	ζ)dw	ζ)dw	PROPN
ejpam-6921	188	29	,	,	PUNCT
ejpam-6921	188	30	.	.	PUNCT
ejpam-6921	188	31	.	.	PUNCT
ejpam-6921	188	32	.	.	PUNCT
ejpam-6921	189	1	,	,	PUNCT
ejpam-6921	190	1	∫	∫	PROPN
ejpam-6921	190	2	k	k	PROPN
ejpam-6921	190	3	χq(x	χq(x	PROPN
ejpam-6921	190	4	,	,	PUNCT
ejpam-6921	190	5	λ	λ	PROPN
ejpam-6921	190	6	,	,	PUNCT
ejpam-6921	190	7	λγ	λγ	PROPN
ejpam-6921	190	8	,	,	PUNCT
ejpam-6921	190	9	π	π	PROPN
ejpam-6921	190	10	,	,	PUNCT
ejpam-6921	190	11	ω	ω	PROPN
ejpam-6921	190	12	,	,	PUNCT
ejpam-6921	190	13	ωξ	ωξ	NOUN
ejpam-6921	190	14	,	,	PUNCT
ejpam-6921	190	15	ζ)dw∫	ζ)dw∫	PROPN
ejpam-6921	190	16	k	k	X
ejpam-6921	190	17	υq(x	υq(x	PROPN
ejpam-6921	190	18	,	,	PUNCT
ejpam-6921	190	19	λ	λ	PROPN
ejpam-6921	190	20	,	,	PUNCT
ejpam-6921	190	21	λγ	λγ	PROPN
ejpam-6921	190	22	,	,	PUNCT
ejpam-6921	190	23	π	π	PROPN
ejpam-6921	190	24	,	,	PUNCT
ejpam-6921	190	25	ω	ω	PROPN
ejpam-6921	190	26	,	,	PUNCT
ejpam-6921	190	27	ωξ	ωξ	ADP
ejpam-6921	190	28	,	,	PUNCT
ejpam-6921	190	29	ζ)dw	ζ)dw	PROPN
ejpam-6921	190	30			NOUN
ejpam-6921	190	31	subject	subject	ADJ
ejpam-6921	190	32	to	to	ADP
ejpam-6921	190	33	λ(x1	λ(x1	NOUN
ejpam-6921	190	34	)	)	PUNCT
ejpam-6921	191	1	=	=	SYM
ejpam-6921	191	2	0	0	NUM
ejpam-6921	191	3	=	=	SYM
ejpam-6921	191	4	λ(x2	λ(x2	NOUN
ejpam-6921	191	5	)	)	PUNCT
ejpam-6921	191	6	,	,	PUNCT
ejpam-6921	191	7	ω(x1	ω(x1	NOUN
ejpam-6921	191	8	)	)	PUNCT
ejpam-6921	191	9	=	=	SYM
ejpam-6921	191	10	0	0	NUM
ejpam-6921	191	11	=	=	SYM
ejpam-6921	191	12	ω(x2	ω(x2	NOUN
ejpam-6921	191	13	)	)	PUNCT
ejpam-6921	191	14	,	,	PUNCT
ejpam-6921	191	15	λγ(x1	λγ(x1	NOUN
ejpam-6921	191	16	)	)	PUNCT
ejpam-6921	191	17	=	=	SYM
ejpam-6921	191	18	0	0	NUM
ejpam-6921	191	19	=	=	SYM
ejpam-6921	191	20	λγ(x2	λγ(x2	NOUN
ejpam-6921	191	21	)	)	PUNCT
ejpam-6921	191	22	,	,	PUNCT
ejpam-6921	191	23	ωξ(x1	ωξ(x1	NOUN
ejpam-6921	191	24	)	)	PUNCT
ejpam-6921	191	25	=	=	SYM
ejpam-6921	191	26	0	0	NUM
ejpam-6921	191	27	=	=	SYM
ejpam-6921	191	28	ωξ(x2	ωξ(x2	NOUN
ejpam-6921	191	29	)	)	PUNCT
ejpam-6921	191	30	,	,	PUNCT
ejpam-6921	191	31	q∑	q∑	PROPN
ejpam-6921	192	1	δ=1	δ=1	PROPN
ejpam-6921	192	2	ωδ	ωδ	PROPN
ejpam-6921	192	3	{	{	PUNCT
ejpam-6921	192	4	iδ(λ	iδ(λ	PROPN
ejpam-6921	192	5	,	,	PUNCT
ejpam-6921	192	6	ω	ω	NOUN
ejpam-6921	192	7	)	)	PUNCT
ejpam-6921	192	8	(	(	PUNCT
ejpam-6921	192	9	χδ	χδ	PROPN
ejpam-6921	192	10	ω	ω	PROPN
ejpam-6921	192	11	−	−	PROPN
ejpam-6921	193	1	d	d	PROPN
ejpam-6921	193	2	dxξ	dxξ	NOUN
ejpam-6921	193	3	χδ	χδ	ADJ
ejpam-6921	193	4	ωξ	ωξ	ADP
ejpam-6921	193	5	)	)	PUNCT
ejpam-6921	193	6	−	−	ADP
ejpam-6921	193	7	eδ(λ	eδ(λ	SYM
ejpam-6921	193	8	,	,	PUNCT
ejpam-6921	193	9	ω	ω	NUM
ejpam-6921	193	10	)	)	PUNCT
ejpam-6921	193	11	(	(	PUNCT
ejpam-6921	193	12	υδ	υδ	PROPN
ejpam-6921	193	13	ω	ω	NUM
ejpam-6921	193	14	−	−	PROPN
ejpam-6921	194	1	d	d	X
ejpam-6921	194	2	dxξ	dxξ	X
ejpam-6921	194	3	υδ	υδ	X
ejpam-6921	194	4	ωξ	ωξ	ADP
ejpam-6921	194	5	)	)	PUNCT
ejpam-6921	194	6	}	}	PUNCT
ejpam-6921	194	7	≦	≦	NOUN
ejpam-6921	194	8	0	0	NUM
ejpam-6921	194	9	,	,	PUNCT
ejpam-6921	194	10	x	x	X
ejpam-6921	194	11	∈	∈	PROPN
ejpam-6921	194	12	k	k	NOUN
ejpam-6921	194	13	,	,	PUNCT
ejpam-6921	194	14	q∑	q∑	PROPN
ejpam-6921	194	15	δ=1	δ=1	PROPN
ejpam-6921	194	16	ωδ	ωδ	PROPN
ejpam-6921	194	17	{	{	PUNCT
ejpam-6921	194	18	iδ(λ	iδ(λ	PROPN
ejpam-6921	194	19	,	,	PUNCT
ejpam-6921	194	20	ω	ω	NOUN
ejpam-6921	194	21	)	)	PUNCT
ejpam-6921	194	22	(	(	PUNCT
ejpam-6921	194	23	χδ	χδ	ADV
ejpam-6921	194	24	ζ	ζ	NOUN
ejpam-6921	194	25	−	−	PROPN
ejpam-6921	194	26	0	0	NUM
ejpam-6921	194	27	)	)	PUNCT
ejpam-6921	194	28	−	−	ADP
ejpam-6921	194	29	eδ(λ	eδ(λ	SYM
ejpam-6921	194	30	,	,	PUNCT
ejpam-6921	194	31	ω	ω	NUM
ejpam-6921	194	32	)	)	PUNCT
ejpam-6921	194	33	(	(	PUNCT
ejpam-6921	194	34	υδ	υδ	X
ejpam-6921	194	35	ζ	ζ	NOUN
ejpam-6921	194	36	−	−	PROPN
ejpam-6921	194	37	0	0	NUM
ejpam-6921	194	38	)	)	PUNCT
ejpam-6921	194	39	}	}	PUNCT
ejpam-6921	194	40	≦	≦	NOUN
ejpam-6921	194	41	0	0	NUM
ejpam-6921	194	42	,	,	PUNCT
ejpam-6921	194	43	x	x	X
ejpam-6921	194	44	∈	∈	PROPN
ejpam-6921	194	45	k	k	NOUN
ejpam-6921	194	46	,	,	PUNCT
ejpam-6921	194	47	ωt	ωt	ADP
ejpam-6921	194	48	q∑	q∑	PROPN
ejpam-6921	194	49	δ=1	δ=1	PROPN
ejpam-6921	194	50	ωδ	ωδ	PROPN
ejpam-6921	194	51	{	{	PUNCT
ejpam-6921	194	52	iδ(λ	iδ(λ	PROPN
ejpam-6921	194	53	,	,	PUNCT
ejpam-6921	194	54	ω	ω	NOUN
ejpam-6921	194	55	)	)	PUNCT
ejpam-6921	194	56	(	(	PUNCT
ejpam-6921	194	57	χδ	χδ	PROPN
ejpam-6921	194	58	ω	ω	PROPN
ejpam-6921	194	59	−	−	PROPN
ejpam-6921	194	60	d	d	PROPN
ejpam-6921	194	61	dxξ	dxξ	NOUN
ejpam-6921	194	62	χδ	χδ	ADJ
ejpam-6921	194	63	ωξ	ωξ	ADP
ejpam-6921	194	64	)	)	PUNCT
ejpam-6921	194	65	−	−	ADP
ejpam-6921	194	66	eδ(λ	eδ(λ	SYM
ejpam-6921	194	67	,	,	PUNCT
ejpam-6921	194	68	ω	ω	NUM
ejpam-6921	194	69	)	)	PUNCT
ejpam-6921	194	70	(	(	PUNCT
ejpam-6921	194	71	υδ	υδ	PROPN
ejpam-6921	194	72	ω	ω	NUM
ejpam-6921	194	73	−	−	PROPN
ejpam-6921	194	74	d	d	X
ejpam-6921	194	75	dxξ	dxξ	X
ejpam-6921	194	76	υδ	υδ	X
ejpam-6921	194	77	ωξ	ωξ	ADP
ejpam-6921	194	78	)	)	PUNCT
ejpam-6921	194	79	}	}	PUNCT
ejpam-6921	194	80	≥	≥	NOUN
ejpam-6921	194	81	0	0	NUM
ejpam-6921	194	82	,	,	PUNCT
ejpam-6921	194	83	x	x	X
ejpam-6921	194	84	∈	∈	PROPN
ejpam-6921	194	85	k	k	NOUN
ejpam-6921	194	86	,	,	PUNCT
ejpam-6921	194	87	ζt	ζt	PRON
ejpam-6921	194	88	q∑	q∑	PROPN
ejpam-6921	194	89	δ=1	δ=1	PROPN
ejpam-6921	194	90	ωδ	ωδ	PROPN
ejpam-6921	194	91	{	{	PUNCT
ejpam-6921	194	92	iδ(λ	iδ(λ	PROPN
ejpam-6921	194	93	,	,	PUNCT
ejpam-6921	194	94	ω	ω	NOUN
ejpam-6921	194	95	)	)	PUNCT
ejpam-6921	194	96	(	(	PUNCT
ejpam-6921	194	97	χδ	χδ	ADV
ejpam-6921	194	98	ζ	ζ	NOUN
ejpam-6921	194	99	−	−	PROPN
ejpam-6921	194	100	0	0	NUM
ejpam-6921	194	101	)	)	PUNCT
ejpam-6921	194	102	−	−	ADP
ejpam-6921	194	103	eδ(λ	eδ(λ	SYM
ejpam-6921	194	104	,	,	PUNCT
ejpam-6921	194	105	ω	ω	NUM
ejpam-6921	194	106	)	)	PUNCT
ejpam-6921	194	107	(	(	PUNCT
ejpam-6921	194	108	υδ	υδ	X
ejpam-6921	194	109	ζ	ζ	NOUN
ejpam-6921	194	110	−	−	PROPN
ejpam-6921	194	111	0	0	NUM
ejpam-6921	194	112	)	)	PUNCT
ejpam-6921	194	113	}	}	PUNCT
ejpam-6921	194	114	≥	≥	NOUN
ejpam-6921	194	115	0	0	NUM
ejpam-6921	194	116	,	,	PUNCT
ejpam-6921	194	117	x	x	X
ejpam-6921	194	118	∈	∈	PROPN
ejpam-6921	194	119	k	k	PROPN
ejpam-6921	194	120	,	,	PUNCT
ejpam-6921	194	121	ω	ω	X
ejpam-6921	194	122	>	>	X
ejpam-6921	194	123	0	0	NUM
ejpam-6921	194	124	,	,	PUNCT
ejpam-6921	194	125	and	and	CCONJ
ejpam-6921	194	126	(	(	PUNCT
ejpam-6921	194	127	d	d	X
ejpam-6921	194	128	)	)	PUNCT
ejpam-6921	194	129	max	max	PROPN
ejpam-6921	194	130	(	(	PUNCT
ejpam-6921	194	131	b	b	NOUN
ejpam-6921	194	132	,	,	PUNCT
ejpam-6921	194	133	v	v	NOUN
ejpam-6921	194	134	)	)	PUNCT
ejpam-6921	194	135			PROPN
ejpam-6921	194	136	∫	∫	PROPN
ejpam-6921	194	137	k	k	PROPN
ejpam-6921	194	138	χ1(x	χ1(x	PROPN
ejpam-6921	194	139	,	,	PUNCT
ejpam-6921	194	140	b	b	NOUN
ejpam-6921	194	141	,	,	PUNCT
ejpam-6921	194	142	bγ	bγ	INTJ
ejpam-6921	194	143	,	,	PUNCT
ejpam-6921	194	144	ρ	ρ	PROPN
ejpam-6921	194	145	,	,	PUNCT
ejpam-6921	194	146	v	v	NOUN
ejpam-6921	194	147	,	,	PUNCT
ejpam-6921	194	148	vξ	vξ	PROPN
ejpam-6921	194	149	,	,	PUNCT
ejpam-6921	194	150	ϱ)dw∫	ϱ)dw∫	PROPN
ejpam-6921	194	151	k	k	PROPN
ejpam-6921	195	1	υ1(x	υ1(x	PROPN
ejpam-6921	195	2	,	,	PUNCT
ejpam-6921	195	3	b	b	NOUN
ejpam-6921	195	4	,	,	PUNCT
ejpam-6921	195	5	bγ	bγ	INTJ
ejpam-6921	195	6	,	,	PUNCT
ejpam-6921	195	7	ρ	ρ	PROPN
ejpam-6921	195	8	,	,	PUNCT
ejpam-6921	195	9	v	v	NOUN
ejpam-6921	195	10	,	,	PUNCT
ejpam-6921	195	11	vξ	vξ	NOUN
ejpam-6921	195	12	,	,	PUNCT
ejpam-6921	195	13	ϱ)dw	ϱ)dw	PROPN
ejpam-6921	195	14	,	,	PUNCT
ejpam-6921	195	15	.	.	PUNCT
ejpam-6921	195	16	.	.	PUNCT
ejpam-6921	195	17	.	.	PUNCT
ejpam-6921	196	1	,	,	PUNCT
ejpam-6921	197	1	∫	∫	PROPN
ejpam-6921	197	2	k	k	PROPN
ejpam-6921	197	3	χq(x	χq(x	PROPN
ejpam-6921	197	4	,	,	PUNCT
ejpam-6921	197	5	b	b	PROPN
ejpam-6921	197	6	,	,	PUNCT
ejpam-6921	197	7	bγ	bγ	INTJ
ejpam-6921	197	8	,	,	PUNCT
ejpam-6921	197	9	ρ	ρ	PROPN
ejpam-6921	197	10	,	,	PUNCT
ejpam-6921	197	11	v	v	NOUN
ejpam-6921	197	12	,	,	PUNCT
ejpam-6921	197	13	vξ	vξ	PROPN
ejpam-6921	197	14	,	,	PUNCT
ejpam-6921	197	15	ϱ)dw∫	ϱ)dw∫	PROPN
ejpam-6921	197	16	k	k	PROPN
ejpam-6921	197	17	υq(x	υq(x	PROPN
ejpam-6921	197	18	,	,	PUNCT
ejpam-6921	197	19	b	b	X
ejpam-6921	197	20	,	,	PUNCT
ejpam-6921	197	21	bγ	bγ	INTJ
ejpam-6921	197	22	,	,	PUNCT
ejpam-6921	197	23	ρ	ρ	PROPN
ejpam-6921	197	24	,	,	PUNCT
ejpam-6921	197	25	v	v	NOUN
ejpam-6921	197	26	,	,	PUNCT
ejpam-6921	197	27	vξ	vξ	NOUN
ejpam-6921	197	28	,	,	PUNCT
ejpam-6921	197	29	ϱ)dw	ϱ)dw	ADJ
ejpam-6921	197	30			NOUN
ejpam-6921	197	31	subject	subject	ADJ
ejpam-6921	197	32	to	to	ADP
ejpam-6921	197	33	b(x1	b(x1	NOUN
ejpam-6921	197	34	)	)	PUNCT
ejpam-6921	198	1	=	=	SYM
ejpam-6921	198	2	0	0	NUM
ejpam-6921	198	3	=	=	SYM
ejpam-6921	198	4	b(x2	b(x2	NOUN
ejpam-6921	198	5	)	)	PUNCT
ejpam-6921	198	6	,	,	PUNCT
ejpam-6921	198	7	v(x1	v(x1	NOUN
ejpam-6921	198	8	)	)	PUNCT
ejpam-6921	198	9	=	=	SYM
ejpam-6921	198	10	0	0	NUM
ejpam-6921	198	11	=	=	SYM
ejpam-6921	198	12	v(x2	v(x2	NOUN
ejpam-6921	198	13	)	)	PUNCT
ejpam-6921	198	14	,	,	PUNCT
ejpam-6921	198	15	t.	t.	PROPN
ejpam-6921	198	16	saeed	saeed	PROPN
ejpam-6921	198	17	,	,	PUNCT
ejpam-6921	198	18	s.	s.	PROPN
ejpam-6921	198	19	treanţă	treanţă	PROPN
ejpam-6921	198	20	/	/	SYM
ejpam-6921	198	21	eur	eur	PROPN
ejpam-6921	198	22	.	.	PUNCT
ejpam-6921	199	1	j.	j.	PROPN
ejpam-6921	199	2	pure	pure	PROPN
ejpam-6921	199	3	appl	appl	PROPN
ejpam-6921	199	4	.	.	PROPN
ejpam-6921	199	5	math	math	PROPN
ejpam-6921	199	6	,	,	PUNCT
ejpam-6921	199	7	18	18	NUM
ejpam-6921	199	8	(	(	PUNCT
ejpam-6921	199	9	4	4	NUM
ejpam-6921	199	10	)	)	PUNCT
ejpam-6921	199	11	(	(	PUNCT
ejpam-6921	199	12	2025	2025	NUM
ejpam-6921	199	13	)	)	PUNCT
ejpam-6921	199	14	,	,	PUNCT
ejpam-6921	199	15	6921	6921	NUM
ejpam-6921	199	16	8	8	NUM
ejpam-6921	199	17	of	of	ADP
ejpam-6921	199	18	14	14	NUM
ejpam-6921	199	19	bγ(x1	bγ(x1	NOUN
ejpam-6921	199	20	)	)	PUNCT
ejpam-6921	199	21	=	=	SYM
ejpam-6921	199	22	0	0	NUM
ejpam-6921	200	1	=	=	SYM
ejpam-6921	200	2	bγ(x2	bγ(x2	NOUN
ejpam-6921	200	3	)	)	PUNCT
ejpam-6921	200	4	,	,	PUNCT
ejpam-6921	200	5	vξ(x1	vξ(x1	NOUN
ejpam-6921	200	6	)	)	PUNCT
ejpam-6921	200	7	=	=	SYM
ejpam-6921	200	8	0	0	NUM
ejpam-6921	200	9	=	=	PUNCT
ejpam-6921	200	10	vξ(x2	vξ(x2	NOUN
ejpam-6921	200	11	)	)	PUNCT
ejpam-6921	200	12	,	,	PUNCT
ejpam-6921	200	13	q∑	q∑	PROPN
ejpam-6921	201	1	δ=1	δ=1	PROPN
ejpam-6921	201	2	ωδ	ωδ	PROPN
ejpam-6921	201	3	{	{	PUNCT
ejpam-6921	201	4	iδ(b	iδ(b	PROPN
ejpam-6921	201	5	,	,	PUNCT
ejpam-6921	201	6	v	v	NOUN
ejpam-6921	201	7	)	)	PUNCT
ejpam-6921	201	8	(	(	PUNCT
ejpam-6921	201	9	χδ	χδ	ADP
ejpam-6921	201	10	λ	λ	PROPN
ejpam-6921	201	11	−	−	PROPN
ejpam-6921	202	1	d	d	X
ejpam-6921	202	2	dxγ	dxγ	NOUN
ejpam-6921	202	3	χδ	χδ	ADP
ejpam-6921	202	4	λγ	λγ	PROPN
ejpam-6921	202	5	)	)	PUNCT
ejpam-6921	202	6	−	−	ADP
ejpam-6921	202	7	eδ(b	eδ(b	NOUN
ejpam-6921	202	8	,	,	PUNCT
ejpam-6921	202	9	v	v	NOUN
ejpam-6921	202	10	)	)	PUNCT
ejpam-6921	202	11	(	(	PUNCT
ejpam-6921	202	12	υδ	υδ	X
ejpam-6921	202	13	λ	λ	X
ejpam-6921	202	14	−	−	PROPN
ejpam-6921	202	15	d	d	X
ejpam-6921	202	16	dxγ	dxγ	NOUN
ejpam-6921	202	17	υδ	υδ	PROPN
ejpam-6921	202	18	λγ	λγ	PROPN
ejpam-6921	202	19	)	)	PUNCT
ejpam-6921	202	20	}	}	PUNCT
ejpam-6921	202	21	≧	≧	X
ejpam-6921	202	22	0	0	NUM
ejpam-6921	202	23	,	,	PUNCT
ejpam-6921	202	24	x	x	X
ejpam-6921	202	25	∈	∈	PROPN
ejpam-6921	202	26	k	k	NOUN
ejpam-6921	202	27	,	,	PUNCT
ejpam-6921	202	28	q∑	q∑	PROPN
ejpam-6921	202	29	δ=1	δ=1	PROPN
ejpam-6921	202	30	ωδ	ωδ	PROPN
ejpam-6921	202	31	{	{	PUNCT
ejpam-6921	202	32	iδ(b	iδ(b	PROPN
ejpam-6921	202	33	,	,	PUNCT
ejpam-6921	202	34	v	v	NOUN
ejpam-6921	202	35	)	)	PUNCT
ejpam-6921	202	36	(	(	PUNCT
ejpam-6921	202	37	χδ	χδ	ADP
ejpam-6921	202	38	π	π	PROPN
ejpam-6921	202	39	−	−	PROPN
ejpam-6921	202	40	0	0	NUM
ejpam-6921	202	41	)	)	PUNCT
ejpam-6921	202	42	−	−	NOUN
ejpam-6921	202	43	eδ(b	eδ(b	NOUN
ejpam-6921	202	44	,	,	PUNCT
ejpam-6921	202	45	v	v	NOUN
ejpam-6921	202	46	)	)	PUNCT
ejpam-6921	202	47	(	(	PUNCT
ejpam-6921	202	48	υδ	υδ	PROPN
ejpam-6921	202	49	π	π	PROPN
ejpam-6921	202	50	−	−	PROPN
ejpam-6921	202	51	0	0	NUM
ejpam-6921	202	52	)	)	PUNCT
ejpam-6921	202	53	}	}	PUNCT
ejpam-6921	202	54	≧	≧	X
ejpam-6921	202	55	0	0	NUM
ejpam-6921	202	56	,	,	PUNCT
ejpam-6921	202	57	x	x	X
ejpam-6921	202	58	∈	∈	PROPN
ejpam-6921	202	59	k	k	NOUN
ejpam-6921	202	60	,	,	PUNCT
ejpam-6921	202	61	bt	bt	PROPN
ejpam-6921	202	62	q∑	q∑	PROPN
ejpam-6921	202	63	δ=1	δ=1	PROPN
ejpam-6921	202	64	ωδ	ωδ	PROPN
ejpam-6921	202	65	{	{	PUNCT
ejpam-6921	202	66	iδ(b	iδ(b	PROPN
ejpam-6921	202	67	,	,	PUNCT
ejpam-6921	202	68	v	v	NOUN
ejpam-6921	202	69	)	)	PUNCT
ejpam-6921	202	70	(	(	PUNCT
ejpam-6921	202	71	χδ	χδ	ADP
ejpam-6921	202	72	λ	λ	PROPN
ejpam-6921	202	73	−	−	PROPN
ejpam-6921	203	1	d	d	X
ejpam-6921	203	2	dxγ	dxγ	NOUN
ejpam-6921	203	3	χδ	χδ	ADP
ejpam-6921	203	4	λγ	λγ	PROPN
ejpam-6921	203	5	)	)	PUNCT
ejpam-6921	203	6	−	−	ADP
ejpam-6921	203	7	eδ(b	eδ(b	NOUN
ejpam-6921	203	8	,	,	PUNCT
ejpam-6921	203	9	v	v	NOUN
ejpam-6921	203	10	)	)	PUNCT
ejpam-6921	203	11	(	(	PUNCT
ejpam-6921	203	12	υδ	υδ	X
ejpam-6921	203	13	λ	λ	X
ejpam-6921	203	14	−	−	PROPN
ejpam-6921	203	15	d	d	X
ejpam-6921	203	16	dxγ	dxγ	NOUN
ejpam-6921	203	17	υδ	υδ	PROPN
ejpam-6921	203	18	λγ	λγ	PROPN
ejpam-6921	203	19	)	)	PUNCT
ejpam-6921	203	20	}	}	PUNCT
ejpam-6921	203	21	≤	≤	NUM
ejpam-6921	203	22	0	0	NUM
ejpam-6921	203	23	,	,	PUNCT
ejpam-6921	203	24	x	x	X
ejpam-6921	203	25	∈	∈	PROPN
ejpam-6921	203	26	k	k	NOUN
ejpam-6921	203	27	,	,	PUNCT
ejpam-6921	203	28	ρt	ρt	ADV
ejpam-6921	203	29	q∑	q∑	PROPN
ejpam-6921	203	30	δ=1	δ=1	PROPN
ejpam-6921	203	31	ωδ	ωδ	ADV
ejpam-6921	203	32	{	{	PUNCT
ejpam-6921	203	33	iδ(b	iδ(b	PROPN
ejpam-6921	203	34	,	,	PUNCT
ejpam-6921	203	35	v	v	NOUN
ejpam-6921	203	36	)	)	PUNCT
ejpam-6921	203	37	(	(	PUNCT
ejpam-6921	203	38	χδ	χδ	ADP
ejpam-6921	203	39	π	π	PROPN
ejpam-6921	203	40	−	−	PROPN
ejpam-6921	203	41	0	0	NUM
ejpam-6921	203	42	)	)	PUNCT
ejpam-6921	203	43	−	−	NOUN
ejpam-6921	203	44	eδ(b	eδ(b	NOUN
ejpam-6921	203	45	,	,	PUNCT
ejpam-6921	203	46	v	v	NOUN
ejpam-6921	203	47	)	)	PUNCT
ejpam-6921	203	48	(	(	PUNCT
ejpam-6921	203	49	υδ	υδ	PROPN
ejpam-6921	203	50	π	π	PROPN
ejpam-6921	203	51	−	−	PROPN
ejpam-6921	203	52	0	0	NUM
ejpam-6921	203	53	)	)	PUNCT
ejpam-6921	203	54	}	}	PUNCT
ejpam-6921	203	55	≤	≤	NUM
ejpam-6921	203	56	0	0	NUM
ejpam-6921	203	57	,	,	PUNCT
ejpam-6921	203	58	x	x	X
ejpam-6921	203	59	∈	∈	PROPN
ejpam-6921	203	60	k	k	PROPN
ejpam-6921	203	61	,	,	PUNCT
ejpam-6921	203	62	ω	ω	X
ejpam-6921	203	63	>	>	X
ejpam-6921	203	64	0	0	PROPN
ejpam-6921	203	65	,	,	PUNCT
ejpam-6921	203	66	where	where	SCONJ
ejpam-6921	203	67	,	,	PUNCT
ejpam-6921	203	68	for	for	ADP
ejpam-6921	203	69	δ	δ	PROPN
ejpam-6921	203	70	=	=	SYM
ejpam-6921	203	71	1	1	NUM
ejpam-6921	203	72	,	,	PUNCT
ejpam-6921	203	73	2	2	NUM
ejpam-6921	203	74	,	,	PUNCT
ejpam-6921	203	75	.	.	PUNCT
ejpam-6921	203	76	.	.	PUNCT
ejpam-6921	203	77	.	.	PUNCT
ejpam-6921	204	1	,	,	PUNCT
ejpam-6921	204	2	q	q	X
ejpam-6921	204	3	,	,	PUNCT
ejpam-6921	204	4	χδ	χδ	ADV
ejpam-6921	204	5	:	:	PUNCT
ejpam-6921	205	1	k	k	X
ejpam-6921	205	2	×	×	NOUN
ejpam-6921	205	3	r2n	r2n	NOUN
ejpam-6921	205	4	×	×	NOUN
ejpam-6921	205	5	rs	rs	NOUN
ejpam-6921	205	6	×	×	PROPN
ejpam-6921	205	7	r2	r2	PROPN
ejpam-6921	205	8	m	m	NOUN
ejpam-6921	205	9	×	×	NOUN
ejpam-6921	205	10	rl	rl	INTJ
ejpam-6921	205	11	→	→	NOUN
ejpam-6921	205	12	r+	r+	X
ejpam-6921	205	13	,	,	PUNCT
ejpam-6921	205	14	and	and	CCONJ
ejpam-6921	205	15	υδ	υδ	X
ejpam-6921	206	1	:	:	PUNCT
ejpam-6921	206	2	k	k	X
ejpam-6921	206	3	×	×	NOUN
ejpam-6921	207	1	r2n	r2n	NOUN
ejpam-6921	207	2	×	×	NOUN
ejpam-6921	207	3	rs	rs	NOUN
ejpam-6921	207	4	×	×	PROPN
ejpam-6921	207	5	r2	r2	PROPN
ejpam-6921	207	6	m	m	NOUN
ejpam-6921	207	7	×	×	NOUN
ejpam-6921	207	8	rl	rl	ADP
ejpam-6921	207	9	→	→	SYM
ejpam-6921	207	10	r+\{0	r+\{0	ADJ
ejpam-6921	207	11	}	}	PUNCT
ejpam-6921	207	12	are	be	AUX
ejpam-6921	207	13	functionals	functional	NOUN
ejpam-6921	207	14	of	of	ADP
ejpam-6921	207	15	c2	c2	PROPN
ejpam-6921	207	16	-	-	PUNCT
ejpam-6921	207	17	class	class	NOUN
ejpam-6921	207	18	and	and	CCONJ
ejpam-6921	207	19	eδ(λ	eδ(λ	PRON
ejpam-6921	207	20	,	,	PUNCT
ejpam-6921	207	21	ω	ω	NOUN
ejpam-6921	207	22	)	)	PUNCT
ejpam-6921	207	23	=	=	SYM
ejpam-6921	208	1	∫	∫	PROPN
ejpam-6921	209	1	k	k	X
ejpam-6921	209	2	χδ(x	χδ(x	PROPN
ejpam-6921	209	3	,	,	PUNCT
ejpam-6921	209	4	λ	λ	PROPN
ejpam-6921	209	5	,	,	PUNCT
ejpam-6921	209	6	λγ	λγ	PROPN
ejpam-6921	209	7	,	,	PUNCT
ejpam-6921	209	8	π	π	PROPN
ejpam-6921	209	9	,	,	PUNCT
ejpam-6921	209	10	ω	ω	PROPN
ejpam-6921	209	11	,	,	PUNCT
ejpam-6921	209	12	ωξ	ωξ	ADP
ejpam-6921	209	13	,	,	PUNCT
ejpam-6921	209	14	ζ)dw	ζ)dw	PROPN
ejpam-6921	209	15	,	,	PUNCT
ejpam-6921	209	16	i	i	PRON
ejpam-6921	209	17	δ(λ	δ(λ	PROPN
ejpam-6921	209	18	,	,	PUNCT
ejpam-6921	209	19	ω	ω	NOUN
ejpam-6921	209	20	)	)	PUNCT
ejpam-6921	209	21	=	=	SYM
ejpam-6921	210	1	∫	∫	PROPN
ejpam-6921	210	2	k	k	PROPN
ejpam-6921	210	3	υδ(x	υδ(x	PROPN
ejpam-6921	210	4	,	,	PUNCT
ejpam-6921	210	5	λ	λ	PROPN
ejpam-6921	210	6	,	,	PUNCT
ejpam-6921	210	7	λγ	λγ	PROPN
ejpam-6921	210	8	,	,	PUNCT
ejpam-6921	210	9	π	π	PROPN
ejpam-6921	210	10	,	,	PUNCT
ejpam-6921	210	11	ω	ω	PROPN
ejpam-6921	210	12	,	,	PUNCT
ejpam-6921	210	13	ωξ	ωξ	ADP
ejpam-6921	210	14	,	,	PUNCT
ejpam-6921	210	15	ζ)dw	ζ)dw	PROPN
ejpam-6921	210	16	.	.	PUNCT
ejpam-6921	211	1	remark	remark	NOUN
ejpam-6921	211	2	3	3	NUM
ejpam-6921	211	3	.	.	PUNCT
ejpam-6921	212	1	if	if	SCONJ
ejpam-6921	212	2	we	we	PRON
ejpam-6921	212	3	consider	consider	VERB
ejpam-6921	212	4	iδ(λ	iδ(λ	PRON
ejpam-6921	212	5	,	,	PUNCT
ejpam-6921	212	6	ω	ω	NOUN
ejpam-6921	212	7	)	)	PUNCT
ejpam-6921	212	8	=	=	SYM
ejpam-6921	212	9	1	1	NUM
ejpam-6921	212	10	,	,	PUNCT
ejpam-6921	212	11	δ	δ	PROPN
ejpam-6921	212	12	=	=	SYM
ejpam-6921	212	13	1	1	NUM
ejpam-6921	212	14	,	,	PUNCT
ejpam-6921	212	15	2	2	NUM
ejpam-6921	212	16	,	,	PUNCT
ejpam-6921	212	17	.	.	PUNCT
ejpam-6921	213	1	.	.	PUNCT
ejpam-6921	214	1	.	.	PUNCT
ejpam-6921	215	1	,	,	PUNCT
ejpam-6921	215	2	q	q	X
ejpam-6921	215	3	,	,	PUNCT
ejpam-6921	215	4	and	and	CCONJ
ejpam-6921	215	5	remove	remove	VERB
ejpam-6921	215	6	control	control	NOUN
ejpam-6921	215	7	functions	function	NOUN
ejpam-6921	215	8	,	,	PUNCT
ejpam-6921	215	9	the	the	DET
ejpam-6921	215	10	considered	consider	VERB
ejpam-6921	215	11	symmetric	symmetric	ADJ
ejpam-6921	215	12	programs	program	NOUN
ejpam-6921	215	13	(	(	PUNCT
ejpam-6921	215	14	p	p	NOUN
ejpam-6921	215	15	)	)	PUNCT
ejpam-6921	215	16	and	and	CCONJ
ejpam-6921	215	17	(	(	PUNCT
ejpam-6921	215	18	d	d	X
ejpam-6921	215	19	)	)	PUNCT
ejpam-6921	215	20	are	be	AUX
ejpam-6921	215	21	converted	convert	VERB
ejpam-6921	215	22	into	into	ADP
ejpam-6921	215	23	the	the	DET
ejpam-6921	215	24	optimization	optimization	NOUN
ejpam-6921	215	25	models	model	NOUN
ejpam-6921	215	26	investigated	investigate	VERB
ejpam-6921	215	27	by	by	ADP
ejpam-6921	215	28	gulati	gulati	PROPN
ejpam-6921	215	29	et	et	PROPN
ejpam-6921	215	30	al	al	PROPN
ejpam-6921	215	31	.	.	PUNCT
ejpam-6921	216	1	[	[	X
ejpam-6921	216	2	35	35	NUM
ejpam-6921	216	3	]	]	PUNCT
ejpam-6921	216	4	.	.	PUNCT
ejpam-6921	217	1	also	also	ADV
ejpam-6921	217	2	,	,	PUNCT
ejpam-6921	217	3	for	for	ADP
ejpam-6921	217	4	q	q	NOUN
ejpam-6921	217	5	=	=	SYM
ejpam-6921	217	6	1	1	NUM
ejpam-6921	217	7	and	and	CCONJ
ejpam-6921	217	8	removing	remove	VERB
ejpam-6921	217	9	the	the	DET
ejpam-6921	217	10	control	control	NOUN
ejpam-6921	217	11	variables	variable	NOUN
ejpam-6921	217	12	,	,	PUNCT
ejpam-6921	217	13	the	the	DET
ejpam-6921	217	14	symmetric	symmetric	ADJ
ejpam-6921	217	15	problems	problem	NOUN
ejpam-6921	217	16	(	(	PUNCT
ejpam-6921	217	17	p	p	NOUN
ejpam-6921	217	18	)	)	PUNCT
ejpam-6921	217	19	and	and	CCONJ
ejpam-6921	217	20	(	(	PUNCT
ejpam-6921	217	21	d	d	X
ejpam-6921	217	22	)	)	PUNCT
ejpam-6921	217	23	are	be	AUX
ejpam-6921	217	24	transformed	transform	VERB
ejpam-6921	217	25	in	in	ADP
ejpam-6921	217	26	the	the	DET
ejpam-6921	217	27	variational	variational	ADJ
ejpam-6921	217	28	problems	problem	NOUN
ejpam-6921	217	29	considered	consider	VERB
ejpam-6921	217	30	by	by	ADP
ejpam-6921	217	31	gulati	gulati	PROPN
ejpam-6921	217	32	et	et	PROPN
ejpam-6921	217	33	al	al	PROPN
ejpam-6921	217	34	.	.	PUNCT
ejpam-6921	218	1	[	[	X
ejpam-6921	218	2	36	36	NUM
ejpam-6921	218	3	]	]	PUNCT
ejpam-6921	218	4	.	.	PUNCT
ejpam-6921	219	1	if	if	SCONJ
ejpam-6921	219	2	k	k	PROPN
ejpam-6921	219	3	is	be	AUX
ejpam-6921	219	4	a	a	DET
ejpam-6921	219	5	classical	classical	ADJ
ejpam-6921	219	6	real	real	ADJ
ejpam-6921	219	7	interval	interval	NOUN
ejpam-6921	219	8	,	,	PUNCT
ejpam-6921	219	9	then	then	ADV
ejpam-6921	219	10	the	the	DET
ejpam-6921	219	11	present	present	ADJ
ejpam-6921	219	12	study	study	NOUN
ejpam-6921	219	13	is	be	AUX
ejpam-6921	219	14	investigated	investigate	VERB
ejpam-6921	219	15	by	by	ADP
ejpam-6921	219	16	treanţă	treanţă	PROPN
ejpam-6921	219	17	et	et	PROPN
ejpam-6921	219	18	al	al	PROPN
ejpam-6921	219	19	.	.	PUNCT
ejpam-6921	220	1	[	[	X
ejpam-6921	220	2	37	37	NUM
ejpam-6921	220	3	]	]	PUNCT
ejpam-6921	220	4	.	.	PUNCT
ejpam-6921	221	1	in	in	ADP
ejpam-6921	221	2	addition	addition	NOUN
ejpam-6921	221	3	,	,	PUNCT
ejpam-6921	221	4	let	let	VERB
ejpam-6921	221	5	us	we	PRON
ejpam-6921	221	6	note	note	VERB
ejpam-6921	221	7	that	that	SCONJ
ejpam-6921	221	8	we	we	PRON
ejpam-6921	221	9	do	do	AUX
ejpam-6921	221	10	not	not	PART
ejpam-6921	221	11	impose	impose	VERB
ejpam-6921	221	12	(	(	PUNCT
ejpam-6921	221	13	see	see	VERB
ejpam-6921	221	14	kim	kim	PROPN
ejpam-6921	221	15	et	et	PROPN
ejpam-6921	221	16	al	al	PROPN
ejpam-6921	221	17	.	.	PUNCT
ejpam-6921	222	1	[	[	X
ejpam-6921	222	2	38	38	NUM
ejpam-6921	222	3	]	]	PUNCT
ejpam-6921	222	4	)	)	PUNCT
ejpam-6921	222	5	the	the	DET
ejpam-6921	222	6	constraint	constraint	NOUN
ejpam-6921	222	7	ωt	ωt	ADP
ejpam-6921	222	8	e	e	X
ejpam-6921	222	9	=	=	SYM
ejpam-6921	222	10	1	1	NUM
ejpam-6921	222	11	,	,	PUNCT
ejpam-6921	222	12	e	e	X
ejpam-6921	222	13	=	=	PUNCT
ejpam-6921	222	14	(	(	PUNCT
ejpam-6921	222	15	1	1	NUM
ejpam-6921	222	16	,	,	PUNCT
ejpam-6921	222	17	1	1	NUM
ejpam-6921	222	18	,	,	PUNCT
ejpam-6921	222	19	·	·	PUNCT
ejpam-6921	222	20	·	·	PUNCT
ejpam-6921	222	21	·	·	PUNCT
ejpam-6921	222	22	,	,	PUNCT
ejpam-6921	222	23	1	1	X
ejpam-6921	222	24	)	)	PUNCT
ejpam-6921	222	25	∈	∈	NOUN
ejpam-6921	222	26	rq	rq	NOUN
ejpam-6921	222	27	,	,	PUNCT
ejpam-6921	222	28	in	in	ADP
ejpam-6921	222	29	(	(	PUNCT
ejpam-6921	222	30	p	p	NOUN
ejpam-6921	222	31	)	)	PUNCT
ejpam-6921	222	32	and	and	CCONJ
ejpam-6921	222	33	(	(	PUNCT
ejpam-6921	222	34	d	d	X
ejpam-6921	222	35	)	)	PUNCT
ejpam-6921	222	36	since	since	SCONJ
ejpam-6921	222	37	it	it	PRON
ejpam-6921	222	38	does	do	AUX
ejpam-6921	222	39	not	not	PART
ejpam-6921	222	40	matter	matter	VERB
ejpam-6921	222	41	in	in	ADP
ejpam-6921	222	42	establishing	establish	VERB
ejpam-6921	222	43	the	the	DET
ejpam-6921	222	44	main	main	ADJ
ejpam-6921	222	45	result	result	NOUN
ejpam-6921	222	46	(	(	PUNCT
ejpam-6921	222	47	see	see	VERB
ejpam-6921	222	48	theorem	theorem	NOUN
ejpam-6921	222	49	1	1	NUM
ejpam-6921	222	50	)	)	PUNCT
ejpam-6921	222	51	.	.	PUNCT
ejpam-6921	223	1	further	far	ADV
ejpam-6921	223	2	,	,	PUNCT
ejpam-6921	223	3	we	we	PRON
ejpam-6921	223	4	reformulate	reformulate	VERB
ejpam-6921	223	5	the	the	DET
ejpam-6921	223	6	considered	consider	VERB
ejpam-6921	223	7	symmetric	symmetric	ADJ
ejpam-6921	223	8	programs	program	NOUN
ejpam-6921	223	9	(	(	PUNCT
ejpam-6921	223	10	p	p	NOUN
ejpam-6921	223	11	)	)	PUNCT
ejpam-6921	223	12	and	and	CCONJ
ejpam-6921	223	13	(	(	PUNCT
ejpam-6921	223	14	d	d	X
ejpam-6921	223	15	)	)	PUNCT
ejpam-6921	223	16	as	as	SCONJ
ejpam-6921	223	17	follows	follow	VERB
ejpam-6921	223	18	:	:	PUNCT
ejpam-6921	223	19	(	(	PUNCT
ejpam-6921	223	20	p	p	NOUN
ejpam-6921	223	21	’	'	PUNCT
ejpam-6921	223	22	)	)	PUNCT
ejpam-6921	223	23	min	min	NOUN
ejpam-6921	223	24	(	(	PUNCT
ejpam-6921	223	25	λ	λ	PROPN
ejpam-6921	223	26	,	,	PUNCT
ejpam-6921	223	27	ω	ω	NUM
ejpam-6921	223	28	)	)	PUNCT
ejpam-6921	223	29	(	(	PUNCT
ejpam-6921	223	30	y	y	PROPN
ejpam-6921	223	31	1	1	NUM
ejpam-6921	223	32	,	,	PUNCT
ejpam-6921	223	33	y	y	PROPN
ejpam-6921	223	34	2	2	NUM
ejpam-6921	223	35	,	,	PUNCT
ejpam-6921	223	36	.	.	PUNCT
ejpam-6921	223	37	.	.	PUNCT
ejpam-6921	224	1	.	.	PUNCT
ejpam-6921	225	1	,	,	PUNCT
ejpam-6921	225	2	y	y	PROPN
ejpam-6921	225	3	q	q	NOUN
ejpam-6921	225	4	)	)	PUNCT
ejpam-6921	225	5	subject	subject	ADJ
ejpam-6921	225	6	to	to	ADP
ejpam-6921	225	7	λ(x1	λ(x1	NOUN
ejpam-6921	225	8	)	)	PUNCT
ejpam-6921	226	1	=	=	SYM
ejpam-6921	226	2	0	0	NUM
ejpam-6921	226	3	=	=	SYM
ejpam-6921	226	4	λ(x2	λ(x2	NOUN
ejpam-6921	226	5	)	)	PUNCT
ejpam-6921	226	6	,	,	PUNCT
ejpam-6921	226	7	ω(x1	ω(x1	NOUN
ejpam-6921	226	8	)	)	PUNCT
ejpam-6921	226	9	=	=	SYM
ejpam-6921	226	10	0	0	NUM
ejpam-6921	226	11	=	=	SYM
ejpam-6921	226	12	ω(x2	ω(x2	NOUN
ejpam-6921	226	13	)	)	PUNCT
ejpam-6921	226	14	,	,	PUNCT
ejpam-6921	226	15	(	(	PUNCT
ejpam-6921	226	16	1	1	X
ejpam-6921	226	17	)	)	PUNCT
ejpam-6921	226	18	λγ(x1	λγ(x1	NOUN
ejpam-6921	226	19	)	)	PUNCT
ejpam-6921	226	20	=	=	SYM
ejpam-6921	226	21	0	0	NUM
ejpam-6921	226	22	=	=	SYM
ejpam-6921	226	23	λγ(x2	λγ(x2	NOUN
ejpam-6921	226	24	)	)	PUNCT
ejpam-6921	226	25	,	,	PUNCT
ejpam-6921	226	26	ωξ(x1	ωξ(x1	NOUN
ejpam-6921	226	27	)	)	PUNCT
ejpam-6921	226	28	=	=	SYM
ejpam-6921	226	29	0	0	NUM
ejpam-6921	226	30	=	=	SYM
ejpam-6921	226	31	ωξ(x2	ωξ(x2	NOUN
ejpam-6921	226	32	)	)	PUNCT
ejpam-6921	226	33	,	,	PUNCT
ejpam-6921	226	34	(	(	PUNCT
ejpam-6921	226	35	2)∫	2)∫	NUM
ejpam-6921	226	36	k	k	X
ejpam-6921	226	37	χδ(x	χδ(x	X
ejpam-6921	226	38	,	,	PUNCT
ejpam-6921	226	39	λ	λ	PROPN
ejpam-6921	226	40	,	,	PUNCT
ejpam-6921	226	41	λγ	λγ	PROPN
ejpam-6921	226	42	,	,	PUNCT
ejpam-6921	226	43	π	π	PROPN
ejpam-6921	226	44	,	,	PUNCT
ejpam-6921	226	45	ω	ω	PROPN
ejpam-6921	226	46	,	,	PUNCT
ejpam-6921	226	47	ωξ	ωξ	ADP
ejpam-6921	226	48	,	,	PUNCT
ejpam-6921	227	1	ζ)dw	ζ)dw	PROPN
ejpam-6921	227	2	−	−	PROPN
ejpam-6921	227	3	y	y	PROPN
ejpam-6921	227	4	δ	δ	PROPN
ejpam-6921	227	5	∫	∫	PROPN
ejpam-6921	227	6	k	k	X
ejpam-6921	227	7	υδ(x	υδ(x	PROPN
ejpam-6921	227	8	,	,	PUNCT
ejpam-6921	227	9	λ	λ	PROPN
ejpam-6921	227	10	,	,	PUNCT
ejpam-6921	227	11	λγ	λγ	PROPN
ejpam-6921	227	12	,	,	PUNCT
ejpam-6921	227	13	π	π	PROPN
ejpam-6921	227	14	,	,	PUNCT
ejpam-6921	227	15	ω	ω	PROPN
ejpam-6921	227	16	,	,	PUNCT
ejpam-6921	227	17	ωξ	ωξ	ADP
ejpam-6921	227	18	,	,	PUNCT
ejpam-6921	227	19	ζ)dw	ζ)dw	PROPN
ejpam-6921	227	20	=	=	SYM
ejpam-6921	227	21	0	0	NUM
ejpam-6921	227	22	,	,	PUNCT
ejpam-6921	227	23	δ	δ	X
ejpam-6921	227	24	=	=	SYM
ejpam-6921	227	25	1	1	NUM
ejpam-6921	227	26	,	,	PUNCT
ejpam-6921	227	27	2	2	NUM
ejpam-6921	227	28	,	,	PUNCT
ejpam-6921	227	29	.	.	PUNCT
ejpam-6921	227	30	.	.	PUNCT
ejpam-6921	227	31	.	.	PUNCT
ejpam-6921	228	1	,	,	PUNCT
ejpam-6921	228	2	q	q	X
ejpam-6921	228	3	,	,	PUNCT
ejpam-6921	228	4	(	(	PUNCT
ejpam-6921	228	5	3	3	NUM
ejpam-6921	228	6	)	)	PUNCT
ejpam-6921	228	7	q∑	q∑	NOUN
ejpam-6921	228	8	δ=1	δ=1	PROPN
ejpam-6921	228	9	ωδ	ωδ	INTJ
ejpam-6921	228	10	{	{	PUNCT
ejpam-6921	228	11	(	(	PUNCT
ejpam-6921	228	12	χδ	χδ	PROPN
ejpam-6921	228	13	ω	ω	PROPN
ejpam-6921	228	14	−	−	PROPN
ejpam-6921	229	1	d	d	PROPN
ejpam-6921	229	2	dxξ	dxξ	NOUN
ejpam-6921	229	3	χδ	χδ	NOUN
ejpam-6921	229	4	ωξ	ωξ	ADP
ejpam-6921	229	5	)	)	PUNCT
ejpam-6921	230	1	−	−	PROPN
ejpam-6921	231	1	y	y	PROPN
ejpam-6921	231	2	δ	δ	PROPN
ejpam-6921	231	3	(	(	PUNCT
ejpam-6921	231	4	υδ	υδ	PROPN
ejpam-6921	231	5	ω	ω	NUM
ejpam-6921	231	6	−	−	PROPN
ejpam-6921	231	7	d	d	X
ejpam-6921	231	8	dxξ	dxξ	X
ejpam-6921	231	9	υδ	υδ	X
ejpam-6921	231	10	ωξ	ωξ	ADP
ejpam-6921	231	11	)	)	PUNCT
ejpam-6921	231	12	}	}	PUNCT
ejpam-6921	231	13	≦	≦	NOUN
ejpam-6921	231	14	0	0	NUM
ejpam-6921	231	15	,	,	PUNCT
ejpam-6921	231	16	for	for	ADP
ejpam-6921	231	17	almost	almost	ADV
ejpam-6921	231	18	every	every	PRON
ejpam-6921	231	19	x	x	SYM
ejpam-6921	231	20	∈	∈	PROPN
ejpam-6921	231	21	k	k	NOUN
ejpam-6921	231	22	,	,	PUNCT
ejpam-6921	231	23	(	(	PUNCT
ejpam-6921	231	24	4	4	X
ejpam-6921	231	25	)	)	PUNCT
ejpam-6921	231	26	t.	t.	PROPN
ejpam-6921	231	27	saeed	saeed	PROPN
ejpam-6921	231	28	,	,	PUNCT
ejpam-6921	231	29	s.	s.	PROPN
ejpam-6921	231	30	treanţă	treanţă	PROPN
ejpam-6921	231	31	/	/	SYM
ejpam-6921	231	32	eur	eur	PROPN
ejpam-6921	231	33	.	.	PUNCT
ejpam-6921	232	1	j.	j.	PROPN
ejpam-6921	232	2	pure	pure	PROPN
ejpam-6921	232	3	appl	appl	PROPN
ejpam-6921	232	4	.	.	PROPN
ejpam-6921	232	5	math	math	PROPN
ejpam-6921	232	6	,	,	PUNCT
ejpam-6921	232	7	18	18	NUM
ejpam-6921	232	8	(	(	PUNCT
ejpam-6921	232	9	4	4	NUM
ejpam-6921	232	10	)	)	PUNCT
ejpam-6921	232	11	(	(	PUNCT
ejpam-6921	232	12	2025	2025	NUM
ejpam-6921	232	13	)	)	PUNCT
ejpam-6921	232	14	,	,	PUNCT
ejpam-6921	232	15	6921	6921	NUM
ejpam-6921	232	16	9	9	NUM
ejpam-6921	232	17	of	of	ADP
ejpam-6921	232	18	14	14	NUM
ejpam-6921	232	19	q∑	q∑	NOUN
ejpam-6921	232	20	δ=1	δ=1	PROPN
ejpam-6921	232	21	ωδ	ωδ	PROPN
ejpam-6921	232	22	{	{	PUNCT
ejpam-6921	232	23	(	(	PUNCT
ejpam-6921	232	24	χδ	χδ	ADV
ejpam-6921	232	25	ζ	ζ	NOUN
ejpam-6921	232	26	−	−	PROPN
ejpam-6921	232	27	0	0	NUM
ejpam-6921	232	28	)	)	PUNCT
ejpam-6921	233	1	−	−	PROPN
ejpam-6921	233	2	y	y	PROPN
ejpam-6921	233	3	δ	δ	PROPN
ejpam-6921	233	4	(	(	PUNCT
ejpam-6921	233	5	υδ	υδ	PROPN
ejpam-6921	233	6	ζ	ζ	NOUN
ejpam-6921	233	7	−	−	PROPN
ejpam-6921	233	8	0	0	NUM
ejpam-6921	233	9	)	)	PUNCT
ejpam-6921	233	10	}	}	PUNCT
ejpam-6921	233	11	≦	≦	NOUN
ejpam-6921	233	12	0	0	NUM
ejpam-6921	233	13	,	,	PUNCT
ejpam-6921	233	14	for	for	ADP
ejpam-6921	233	15	almost	almost	ADV
ejpam-6921	233	16	every	every	PRON
ejpam-6921	233	17	x	x	SYM
ejpam-6921	233	18	∈	∈	PROPN
ejpam-6921	233	19	k	k	NOUN
ejpam-6921	233	20	,	,	PUNCT
ejpam-6921	233	21	(	(	PUNCT
ejpam-6921	233	22	4′	4′	X
ejpam-6921	233	23	)	)	PUNCT
ejpam-6921	233	24	ωt	ωt	ADP
ejpam-6921	233	25	q∑	q∑	PROPN
ejpam-6921	233	26	δ=1	δ=1	PROPN
ejpam-6921	233	27	ωδ	ωδ	PROPN
ejpam-6921	233	28	{	{	PUNCT
ejpam-6921	233	29	(	(	PUNCT
ejpam-6921	233	30	χδ	χδ	PROPN
ejpam-6921	233	31	ω	ω	PROPN
ejpam-6921	233	32	−	−	PROPN
ejpam-6921	233	33	d	d	PROPN
ejpam-6921	233	34	dxξ	dxξ	NOUN
ejpam-6921	233	35	χδ	χδ	NOUN
ejpam-6921	233	36	ωξ	ωξ	ADP
ejpam-6921	233	37	)	)	PUNCT
ejpam-6921	233	38	−	−	PROPN
ejpam-6921	233	39	y	y	PROPN
ejpam-6921	233	40	δ	δ	PROPN
ejpam-6921	233	41	(	(	PUNCT
ejpam-6921	233	42	υδ	υδ	PROPN
ejpam-6921	233	43	ω	ω	NUM
ejpam-6921	233	44	−	−	PROPN
ejpam-6921	233	45	d	d	X
ejpam-6921	233	46	dxξ	dxξ	X
ejpam-6921	233	47	υδ	υδ	X
ejpam-6921	233	48	ωξ	ωξ	ADP
ejpam-6921	233	49	)	)	PUNCT
ejpam-6921	233	50	}	}	PUNCT
ejpam-6921	233	51	≥	≥	NOUN
ejpam-6921	233	52	0	0	NUM
ejpam-6921	233	53	,	,	PUNCT
ejpam-6921	233	54	for	for	ADP
ejpam-6921	233	55	almost	almost	ADV
ejpam-6921	233	56	every	every	PRON
ejpam-6921	233	57	x	x	SYM
ejpam-6921	233	58	∈	∈	PROPN
ejpam-6921	233	59	k	k	NOUN
ejpam-6921	233	60	,	,	PUNCT
ejpam-6921	233	61	(	(	PUNCT
ejpam-6921	233	62	5	5	X
ejpam-6921	233	63	)	)	PUNCT
ejpam-6921	233	64	ζt	ζt	NOUN
ejpam-6921	233	65	q∑	q∑	PROPN
ejpam-6921	233	66	δ=1	δ=1	PROPN
ejpam-6921	233	67	ωδ	ωδ	PROPN
ejpam-6921	233	68	{	{	PUNCT
ejpam-6921	233	69	(	(	PUNCT
ejpam-6921	233	70	χδ	χδ	ADV
ejpam-6921	233	71	ζ	ζ	NOUN
ejpam-6921	233	72	−	−	PROPN
ejpam-6921	233	73	0	0	NUM
ejpam-6921	233	74	)	)	PUNCT
ejpam-6921	233	75	−	−	PROPN
ejpam-6921	234	1	y	y	PROPN
ejpam-6921	234	2	δ	δ	PROPN
ejpam-6921	234	3	(	(	PUNCT
ejpam-6921	234	4	υδ	υδ	PROPN
ejpam-6921	234	5	ζ	ζ	NOUN
ejpam-6921	234	6	−	−	PROPN
ejpam-6921	234	7	0	0	NUM
ejpam-6921	234	8	)	)	PUNCT
ejpam-6921	234	9	}	}	PUNCT
ejpam-6921	234	10	≥	≥	NOUN
ejpam-6921	234	11	0	0	NUM
ejpam-6921	234	12	,	,	PUNCT
ejpam-6921	234	13	for	for	ADP
ejpam-6921	234	14	almost	almost	ADV
ejpam-6921	234	15	every	every	PRON
ejpam-6921	234	16	x	x	SYM
ejpam-6921	234	17	∈	∈	PROPN
ejpam-6921	234	18	k	k	PROPN
ejpam-6921	234	19	,	,	PUNCT
ejpam-6921	234	20	(	(	PUNCT
ejpam-6921	234	21	5′	5′	X
ejpam-6921	234	22	)	)	PUNCT
ejpam-6921	234	23	ω	ω	NOUN
ejpam-6921	234	24	>	>	X
ejpam-6921	234	25	0	0	NUM
ejpam-6921	234	26	,	,	PUNCT
ejpam-6921	234	27	(	(	PUNCT
ejpam-6921	234	28	6	6	NUM
ejpam-6921	234	29	)	)	PUNCT
ejpam-6921	234	30	and	and	CCONJ
ejpam-6921	234	31	(	(	PUNCT
ejpam-6921	234	32	d	d	NOUN
ejpam-6921	234	33	’	'	PUNCT
ejpam-6921	234	34	)	)	PUNCT
ejpam-6921	234	35	max	max	PROPN
ejpam-6921	234	36	(	(	PUNCT
ejpam-6921	234	37	b	b	NOUN
ejpam-6921	234	38	,	,	PUNCT
ejpam-6921	234	39	v	v	NOUN
ejpam-6921	234	40	)	)	PUNCT
ejpam-6921	234	41	(	(	PUNCT
ejpam-6921	234	42	x1	x1	PROPN
ejpam-6921	234	43	,	,	PUNCT
ejpam-6921	234	44	x2	x2	PROPN
ejpam-6921	234	45	,	,	PUNCT
ejpam-6921	234	46	.	.	PUNCT
ejpam-6921	234	47	.	.	PUNCT
ejpam-6921	234	48	.	.	PUNCT
ejpam-6921	235	1	,	,	PUNCT
ejpam-6921	235	2	xq	xq	PROPN
ejpam-6921	235	3	)	)	PUNCT
ejpam-6921	235	4	subject	subject	ADJ
ejpam-6921	235	5	to	to	ADP
ejpam-6921	235	6	b(x1	b(x1	NOUN
ejpam-6921	235	7	)	)	PUNCT
ejpam-6921	235	8	=	=	SYM
ejpam-6921	235	9	0	0	NUM
ejpam-6921	235	10	=	=	SYM
ejpam-6921	235	11	b(x2	b(x2	NOUN
ejpam-6921	235	12	)	)	PUNCT
ejpam-6921	235	13	,	,	PUNCT
ejpam-6921	235	14	v(x1	v(x1	NOUN
ejpam-6921	235	15	)	)	PUNCT
ejpam-6921	235	16	=	=	SYM
ejpam-6921	235	17	0	0	NUM
ejpam-6921	235	18	=	=	SYM
ejpam-6921	235	19	v(x2	v(x2	NOUN
ejpam-6921	235	20	)	)	PUNCT
ejpam-6921	235	21	,	,	PUNCT
ejpam-6921	235	22	(	(	PUNCT
ejpam-6921	235	23	7	7	X
ejpam-6921	235	24	)	)	PUNCT
ejpam-6921	235	25	bγ(x1	bγ(x1	NOUN
ejpam-6921	235	26	)	)	PUNCT
ejpam-6921	235	27	=	=	SYM
ejpam-6921	235	28	0	0	NUM
ejpam-6921	236	1	=	=	SYM
ejpam-6921	236	2	bγ(x2	bγ(x2	NOUN
ejpam-6921	236	3	)	)	PUNCT
ejpam-6921	236	4	,	,	PUNCT
ejpam-6921	236	5	vξ(x1	vξ(x1	NOUN
ejpam-6921	236	6	)	)	PUNCT
ejpam-6921	236	7	=	=	SYM
ejpam-6921	236	8	0	0	NUM
ejpam-6921	236	9	=	=	PUNCT
ejpam-6921	236	10	vξ(x2	vξ(x2	NOUN
ejpam-6921	236	11	)	)	PUNCT
ejpam-6921	236	12	,	,	PUNCT
ejpam-6921	236	13	(	(	PUNCT
ejpam-6921	236	14	8)∫	8)∫	PROPN
ejpam-6921	236	15	k	k	PROPN
ejpam-6921	236	16	χδ(x	χδ(x	PROPN
ejpam-6921	236	17	,	,	PUNCT
ejpam-6921	236	18	b	b	NOUN
ejpam-6921	236	19	,	,	PUNCT
ejpam-6921	236	20	bγ	bγ	INTJ
ejpam-6921	236	21	,	,	PUNCT
ejpam-6921	236	22	ρ	ρ	PROPN
ejpam-6921	236	23	,	,	PUNCT
ejpam-6921	236	24	v	v	NOUN
ejpam-6921	236	25	,	,	PUNCT
ejpam-6921	236	26	vξ	vξ	NOUN
ejpam-6921	236	27	,	,	PUNCT
ejpam-6921	237	1	ϱ)dw	ϱ)dw	PROPN
ejpam-6921	237	2	−xδ	−xδ	PROPN
ejpam-6921	237	3	∫	∫	PROPN
ejpam-6921	237	4	k	k	PROPN
ejpam-6921	237	5	υδ(x	υδ(x	PROPN
ejpam-6921	237	6	,	,	PUNCT
ejpam-6921	237	7	b	b	NOUN
ejpam-6921	237	8	,	,	PUNCT
ejpam-6921	237	9	bγ	bγ	INTJ
ejpam-6921	237	10	,	,	PUNCT
ejpam-6921	237	11	ρ	ρ	PROPN
ejpam-6921	237	12	,	,	PUNCT
ejpam-6921	237	13	v	v	NOUN
ejpam-6921	237	14	,	,	PUNCT
ejpam-6921	237	15	vξ	vξ	NOUN
ejpam-6921	237	16	,	,	PUNCT
ejpam-6921	237	17	ϱ)dw	ϱ)dw	PROPN
ejpam-6921	237	18	=	=	SYM
ejpam-6921	237	19	0	0	NUM
ejpam-6921	237	20	,	,	PUNCT
ejpam-6921	237	21	δ	δ	X
ejpam-6921	237	22	=	=	SYM
ejpam-6921	237	23	1	1	NUM
ejpam-6921	237	24	,	,	PUNCT
ejpam-6921	237	25	2	2	NUM
ejpam-6921	237	26	,	,	PUNCT
ejpam-6921	237	27	.	.	PUNCT
ejpam-6921	237	28	.	.	PUNCT
ejpam-6921	237	29	.	.	PUNCT
ejpam-6921	238	1	,	,	PUNCT
ejpam-6921	238	2	q	q	X
ejpam-6921	238	3	,	,	PUNCT
ejpam-6921	238	4	(	(	PUNCT
ejpam-6921	238	5	9	9	NUM
ejpam-6921	238	6	)	)	PUNCT
ejpam-6921	238	7	q∑	q∑	NOUN
ejpam-6921	238	8	δ=1	δ=1	PROPN
ejpam-6921	238	9	ωδ	ωδ	INTJ
ejpam-6921	238	10	{	{	PUNCT
ejpam-6921	238	11	(	(	PUNCT
ejpam-6921	238	12	χδ	χδ	PROPN
ejpam-6921	238	13	λ	λ	PROPN
ejpam-6921	238	14	−	−	PROPN
ejpam-6921	239	1	d	d	X
ejpam-6921	239	2	dxγ	dxγ	NOUN
ejpam-6921	239	3	χδ	χδ	ADP
ejpam-6921	239	4	λγ	λγ	PROPN
ejpam-6921	239	5	)	)	PUNCT
ejpam-6921	239	6	−xδ	−xδ	PROPN
ejpam-6921	239	7	(	(	PUNCT
ejpam-6921	239	8	υδ	υδ	X
ejpam-6921	239	9	λ	λ	X
ejpam-6921	239	10	−	−	PROPN
ejpam-6921	239	11	d	d	X
ejpam-6921	239	12	dxγ	dxγ	NOUN
ejpam-6921	239	13	υδ	υδ	PROPN
ejpam-6921	239	14	λγ	λγ	PROPN
ejpam-6921	239	15	)	)	PUNCT
ejpam-6921	239	16	}	}	PUNCT
ejpam-6921	239	17	≧	≧	X
ejpam-6921	239	18	0	0	NUM
ejpam-6921	239	19	,	,	PUNCT
ejpam-6921	239	20	for	for	ADP
ejpam-6921	239	21	almost	almost	ADV
ejpam-6921	239	22	every	every	PRON
ejpam-6921	239	23	x	x	SYM
ejpam-6921	239	24	∈	∈	PROPN
ejpam-6921	239	25	k	k	NOUN
ejpam-6921	239	26	,	,	PUNCT
ejpam-6921	239	27	(	(	PUNCT
ejpam-6921	239	28	10	10	NUM
ejpam-6921	239	29	)	)	PUNCT
ejpam-6921	239	30	q∑	q∑	NOUN
ejpam-6921	239	31	δ=1	δ=1	PROPN
ejpam-6921	239	32	ωδ	ωδ	INTJ
ejpam-6921	239	33	{	{	PUNCT
ejpam-6921	239	34	(	(	PUNCT
ejpam-6921	239	35	χδ	χδ	PROPN
ejpam-6921	239	36	π	π	PROPN
ejpam-6921	239	37	−	−	PROPN
ejpam-6921	239	38	0	0	NUM
ejpam-6921	239	39	)	)	PUNCT
ejpam-6921	239	40	−xδ	−xδ	PROPN
ejpam-6921	240	1	(	(	PUNCT
ejpam-6921	240	2	υδ	υδ	X
ejpam-6921	240	3	π	π	PROPN
ejpam-6921	240	4	−	−	PROPN
ejpam-6921	240	5	0	0	NUM
ejpam-6921	240	6	)	)	PUNCT
ejpam-6921	240	7	}	}	PUNCT
ejpam-6921	240	8	≧	≧	X
ejpam-6921	240	9	0	0	NUM
ejpam-6921	240	10	,	,	PUNCT
ejpam-6921	240	11	for	for	ADP
ejpam-6921	240	12	almost	almost	ADV
ejpam-6921	240	13	every	every	PRON
ejpam-6921	240	14	x	x	SYM
ejpam-6921	240	15	∈	∈	PROPN
ejpam-6921	240	16	k	k	PROPN
ejpam-6921	240	17	,	,	PUNCT
ejpam-6921	240	18	(	(	PUNCT
ejpam-6921	240	19	10′	10′	PROPN
ejpam-6921	240	20	)	)	PUNCT
ejpam-6921	240	21	bt	bt	NOUN
ejpam-6921	240	22	q∑	q∑	PROPN
ejpam-6921	240	23	δ=1	δ=1	PROPN
ejpam-6921	240	24	ωδ	ωδ	PROPN
ejpam-6921	240	25	{	{	PUNCT
ejpam-6921	240	26	(	(	PUNCT
ejpam-6921	240	27	χδ	χδ	PROPN
ejpam-6921	240	28	λ	λ	PROPN
ejpam-6921	240	29	−	−	PROPN
ejpam-6921	241	1	d	d	X
ejpam-6921	241	2	dxγ	dxγ	NOUN
ejpam-6921	241	3	χδ	χδ	ADP
ejpam-6921	241	4	λγ	λγ	PROPN
ejpam-6921	241	5	)	)	PUNCT
ejpam-6921	241	6	−xδ	−xδ	PROPN
ejpam-6921	241	7	(	(	PUNCT
ejpam-6921	241	8	υδ	υδ	X
ejpam-6921	241	9	λ	λ	X
ejpam-6921	241	10	−	−	PROPN
ejpam-6921	241	11	d	d	X
ejpam-6921	241	12	dxγ	dxγ	NOUN
ejpam-6921	241	13	υδ	υδ	PROPN
ejpam-6921	241	14	λγ	λγ	PROPN
ejpam-6921	241	15	)	)	PUNCT
ejpam-6921	241	16	}	}	PUNCT
ejpam-6921	241	17	≤	≤	NUM
ejpam-6921	241	18	0	0	NUM
ejpam-6921	241	19	,	,	PUNCT
ejpam-6921	241	20	for	for	ADP
ejpam-6921	241	21	almost	almost	ADV
ejpam-6921	241	22	every	every	PRON
ejpam-6921	241	23	x	x	SYM
ejpam-6921	241	24	∈	∈	PROPN
ejpam-6921	241	25	k	k	NOUN
ejpam-6921	241	26	,	,	PUNCT
ejpam-6921	241	27	(	(	PUNCT
ejpam-6921	241	28	11	11	NUM
ejpam-6921	241	29	)	)	PUNCT
ejpam-6921	241	30	ρt	ρt	ADV
ejpam-6921	241	31	q∑	q∑	PROPN
ejpam-6921	241	32	δ=1	δ=1	PROPN
ejpam-6921	241	33	ωδ	ωδ	INTJ
ejpam-6921	241	34	{	{	PUNCT
ejpam-6921	241	35	(	(	PUNCT
ejpam-6921	241	36	χδ	χδ	PROPN
ejpam-6921	241	37	π	π	PROPN
ejpam-6921	241	38	−	−	PROPN
ejpam-6921	241	39	0	0	NUM
ejpam-6921	241	40	)	)	PUNCT
ejpam-6921	241	41	−xδ	−xδ	PROPN
ejpam-6921	242	1	(	(	PUNCT
ejpam-6921	242	2	υδ	υδ	X
ejpam-6921	242	3	π	π	PROPN
ejpam-6921	242	4	−	−	PROPN
ejpam-6921	242	5	0	0	NUM
ejpam-6921	242	6	)	)	PUNCT
ejpam-6921	242	7	}	}	PUNCT
ejpam-6921	242	8	≤	≤	NUM
ejpam-6921	242	9	0	0	NUM
ejpam-6921	242	10	,	,	PUNCT
ejpam-6921	242	11	for	for	ADP
ejpam-6921	242	12	almost	almost	ADV
ejpam-6921	242	13	every	every	PRON
ejpam-6921	242	14	x	x	SYM
ejpam-6921	242	15	∈	∈	PROPN
ejpam-6921	242	16	k	k	PROPN
ejpam-6921	242	17	,	,	PUNCT
ejpam-6921	242	18	(	(	PUNCT
ejpam-6921	242	19	11′	11′	NUM
ejpam-6921	242	20	)	)	PUNCT
ejpam-6921	242	21	ω	ω	NOUN
ejpam-6921	242	22	>	>	X
ejpam-6921	242	23	0	0	NUM
ejpam-6921	242	24	.	.	PUNCT
ejpam-6921	243	1	(	(	PUNCT
ejpam-6921	243	2	12	12	NUM
ejpam-6921	243	3	)	)	PUNCT
ejpam-6921	243	4	next	next	ADV
ejpam-6921	243	5	,	,	PUNCT
ejpam-6921	243	6	denote	denote	VERB
ejpam-6921	243	7	by	by	ADP
ejpam-6921	243	8	a	a	DET
ejpam-6921	243	9	and	and	CCONJ
ejpam-6921	243	10	b	b	NOUN
ejpam-6921	243	11	the	the	DET
ejpam-6921	243	12	set	set	NOUN
ejpam-6921	243	13	of	of	ADP
ejpam-6921	243	14	feasible	feasible	ADJ
ejpam-6921	243	15	solutions	solution	NOUN
ejpam-6921	243	16	associated	associate	VERB
ejpam-6921	243	17	with	with	ADP
ejpam-6921	243	18	the	the	DET
ejpam-6921	243	19	symmetric	symmetric	ADJ
ejpam-6921	243	20	models	model	NOUN
ejpam-6921	243	21	(	(	PUNCT
ejpam-6921	243	22	p	p	NOUN
ejpam-6921	243	23	)	)	PUNCT
ejpam-6921	243	24	and	and	CCONJ
ejpam-6921	243	25	(	(	PUNCT
ejpam-6921	243	26	d	d	NOUN
ejpam-6921	243	27	)	)	PUNCT
ejpam-6921	243	28	,	,	PUNCT
ejpam-6921	243	29	respectively	respectively	ADV
ejpam-6921	243	30	.	.	PUNCT
ejpam-6921	244	1	the	the	DET
ejpam-6921	244	2	main	main	ADJ
ejpam-6921	244	3	result	result	NOUN
ejpam-6921	244	4	given	give	VERB
ejpam-6921	244	5	in	in	ADP
ejpam-6921	244	6	the	the	DET
ejpam-6921	244	7	following	following	NOUN
ejpam-6921	244	8	is	be	AUX
ejpam-6921	244	9	formulated	formulate	VERB
ejpam-6921	244	10	in	in	ADP
ejpam-6921	244	11	terms	term	NOUN
ejpam-6921	244	12	of	of	ADP
ejpam-6921	244	13	(	(	PUNCT
ejpam-6921	244	14	p	p	NOUN
ejpam-6921	244	15	’	'	PUNCT
ejpam-6921	244	16	)	)	PUNCT
ejpam-6921	244	17	and	and	CCONJ
ejpam-6921	244	18	(	(	PUNCT
ejpam-6921	244	19	d	d	NOUN
ejpam-6921	244	20	’	'	PUNCT
ejpam-6921	244	21	)	)	PUNCT
ejpam-6921	244	22	.	.	PUNCT
ejpam-6921	245	1	of	of	ADP
ejpam-6921	245	2	course	course	NOUN
ejpam-6921	245	3	,	,	PUNCT
ejpam-6921	245	4	this	this	DET
ejpam-6921	245	5	result	result	NOUN
ejpam-6921	245	6	is	be	AUX
ejpam-6921	245	7	equally	equally	ADV
ejpam-6921	245	8	valid	valid	ADJ
ejpam-6921	245	9	to	to	ADP
ejpam-6921	245	10	(	(	PUNCT
ejpam-6921	245	11	p	p	NOUN
ejpam-6921	245	12	)	)	PUNCT
ejpam-6921	245	13	and	and	CCONJ
ejpam-6921	245	14	(	(	PUNCT
ejpam-6921	245	15	d	d	NOUN
ejpam-6921	245	16	)	)	PUNCT
ejpam-6921	245	17	.	.	PUNCT
ejpam-6921	246	1	theorem	theorem	NOUN
ejpam-6921	246	2	1	1	NUM
ejpam-6921	246	3	.	.	PUNCT
ejpam-6921	247	1	if	if	SCONJ
ejpam-6921	247	2	(	(	PUNCT
ejpam-6921	247	3	λ(x	λ(x	PROPN
ejpam-6921	247	4	)	)	PUNCT
ejpam-6921	247	5	,	,	PUNCT
ejpam-6921	247	6	ω(x),ω	ω(x),ω	NOUN
ejpam-6921	247	7	,	,	PUNCT
ejpam-6921	247	8	y	y	PROPN
ejpam-6921	247	9	)	)	PUNCT
ejpam-6921	247	10	∈	∈	PROPN
ejpam-6921	247	11	a	a	PRON
ejpam-6921	247	12	and	and	CCONJ
ejpam-6921	247	13	(	(	PUNCT
ejpam-6921	247	14	b(x	b(x	NOUN
ejpam-6921	247	15	)	)	PUNCT
ejpam-6921	247	16	,	,	PUNCT
ejpam-6921	247	17	v(x),ω	v(x),ω	NOUN
ejpam-6921	247	18	,	,	PUNCT
ejpam-6921	247	19	x	x	X
ejpam-6921	247	20	)	)	PUNCT
ejpam-6921	247	21	∈	∈	PROPN
ejpam-6921	247	22	b	b	NOUN
ejpam-6921	247	23	are	be	AUX
ejpam-6921	247	24	some	some	DET
ejpam-6921	247	25	feasible	feasible	ADJ
ejpam-6921	247	26	solutions	solution	NOUN
ejpam-6921	247	27	for	for	ADP
ejpam-6921	247	28	the	the	DET
ejpam-6921	247	29	considered	consider	VERB
ejpam-6921	247	30	symmetric	symmetric	ADJ
ejpam-6921	247	31	models	model	NOUN
ejpam-6921	247	32	(	(	PUNCT
ejpam-6921	247	33	p	p	NOUN
ejpam-6921	247	34	’	'	PUNCT
ejpam-6921	247	35	)	)	PUNCT
ejpam-6921	247	36	and	and	CCONJ
ejpam-6921	247	37	(	(	PUNCT
ejpam-6921	247	38	d	d	NOUN
ejpam-6921	247	39	’	'	PUNCT
ejpam-6921	247	40	)	)	PUNCT
ejpam-6921	247	41	,	,	PUNCT
ejpam-6921	247	42	respectively	respectively	ADV
ejpam-6921	247	43	,	,	PUNCT
ejpam-6921	247	44	and	and	CCONJ
ejpam-6921	247	45	the	the	DET
ejpam-6921	247	46	next	next	ADJ
ejpam-6921	247	47	assumptions	assumption	NOUN
ejpam-6921	247	48	are	be	AUX
ejpam-6921	247	49	satisfied	satisfied	ADJ
ejpam-6921	247	50	:	:	PUNCT
ejpam-6921	247	51	t.	t.	PROPN
ejpam-6921	247	52	saeed	saeed	PROPN
ejpam-6921	247	53	,	,	PUNCT
ejpam-6921	247	54	s.	s.	PROPN
ejpam-6921	247	55	treanţă	treanţă	PROPN
ejpam-6921	247	56	/	/	SYM
ejpam-6921	247	57	eur	eur	PROPN
ejpam-6921	247	58	.	.	PUNCT
ejpam-6921	248	1	j.	j.	PROPN
ejpam-6921	248	2	pure	pure	PROPN
ejpam-6921	248	3	appl	appl	PROPN
ejpam-6921	248	4	.	.	PROPN
ejpam-6921	248	5	math	math	PROPN
ejpam-6921	248	6	,	,	PUNCT
ejpam-6921	248	7	18	18	NUM
ejpam-6921	248	8	(	(	PUNCT
ejpam-6921	248	9	4	4	NUM
ejpam-6921	248	10	)	)	PUNCT
ejpam-6921	248	11	(	(	PUNCT
ejpam-6921	248	12	2025	2025	NUM
ejpam-6921	248	13	)	)	PUNCT
ejpam-6921	248	14	,	,	PUNCT
ejpam-6921	248	15	6921	6921	NUM
ejpam-6921	248	16	10	10	NUM
ejpam-6921	248	17	of	of	ADP
ejpam-6921	248	18	14	14	NUM
ejpam-6921	248	19	(	(	PUNCT
ejpam-6921	248	20	i	i	NOUN
ejpam-6921	248	21	)	)	PUNCT
ejpam-6921	248	22	q∑	q∑	PROPN
ejpam-6921	249	1	δ=1	δ=1	PROPN
ejpam-6921	250	1	ωδ	ωδ	ADV
ejpam-6921	250	2	∫	∫	PROPN
ejpam-6921	250	3	k	k	PROPN
ejpam-6921	250	4	{	{	PUNCT
ejpam-6921	250	5	χδ(x	χδ(x	PROPN
ejpam-6921	250	6	,	,	PUNCT
ejpam-6921	250	7	(	(	PUNCT
ejpam-6921	250	8	·	·	PUNCT
ejpam-6921	250	9	)	)	PUNCT
ejpam-6921	250	10	,	,	PUNCT
ejpam-6921	250	11	(	(	PUNCT
ejpam-6921	250	12	·	·	PUNCT
ejpam-6921	250	13	)	)	PUNCT
ejpam-6921	250	14	,	,	PUNCT
ejpam-6921	250	15	(	(	PUNCT
ejpam-6921	250	16	·	·	PUNCT
ejpam-6921	250	17	)	)	PUNCT
ejpam-6921	250	18	,	,	PUNCT
ejpam-6921	250	19	v	v	NOUN
ejpam-6921	250	20	,	,	PUNCT
ejpam-6921	250	21	vξ	vξ	NOUN
ejpam-6921	250	22	,	,	PUNCT
ejpam-6921	250	23	ϱ)−xδυδ(x	ϱ)−xδυδ(x	PROPN
ejpam-6921	250	24	,	,	PUNCT
ejpam-6921	250	25	(	(	PUNCT
ejpam-6921	250	26	·	·	PUNCT
ejpam-6921	250	27	)	)	PUNCT
ejpam-6921	250	28	,	,	PUNCT
ejpam-6921	250	29	(	(	PUNCT
ejpam-6921	250	30	·	·	PUNCT
ejpam-6921	250	31	)	)	PUNCT
ejpam-6921	250	32	,	,	PUNCT
ejpam-6921	250	33	(	(	PUNCT
ejpam-6921	250	34	·	·	PUNCT
ejpam-6921	250	35	)	)	PUNCT
ejpam-6921	250	36	,	,	PUNCT
ejpam-6921	250	37	v	v	NOUN
ejpam-6921	250	38	,	,	PUNCT
ejpam-6921	250	39	vξ	vξ	NOUN
ejpam-6921	250	40	,	,	PUNCT
ejpam-6921	250	41	ϱ	ϱ	NOUN
ejpam-6921	250	42	)	)	PUNCT
ejpam-6921	250	43	}	}	PUNCT
ejpam-6921	250	44	dw	dw	PROPN
ejpam-6921	250	45	is	be	AUX
ejpam-6921	250	46	pseudoinvex	pseudoinvex	NOUN
ejpam-6921	250	47	at	at	ADP
ejpam-6921	250	48	b	b	PROPN
ejpam-6921	250	49	,	,	PUNCT
ejpam-6921	250	50	bγ	bγ	PROPN
ejpam-6921	250	51	and	and	CCONJ
ejpam-6921	250	52	ρ	ρ	NOUN
ejpam-6921	250	53	,	,	PUNCT
ejpam-6921	250	54	with	with	ADP
ejpam-6921	250	55	z(x	z(x	NUM
ejpam-6921	250	56	,	,	PUNCT
ejpam-6921	250	57	λ	λ	PROPN
ejpam-6921	250	58	,	,	PUNCT
ejpam-6921	250	59	b	b	NOUN
ejpam-6921	250	60	)	)	PUNCT
ejpam-6921	250	61	+	+	CCONJ
ejpam-6921	250	62	b(x	b(x	NOUN
ejpam-6921	250	63	)	)	PUNCT
ejpam-6921	250	64	≧	≧	NOUN
ejpam-6921	250	65	0	0	NUM
ejpam-6921	250	66	,	,	PUNCT
ejpam-6921	250	67	µ(x	µ(x	VERB
ejpam-6921	250	68	,	,	PUNCT
ejpam-6921	250	69	λ	λ	PROPN
ejpam-6921	250	70	,	,	PUNCT
ejpam-6921	250	71	b	b	NOUN
ejpam-6921	250	72	)	)	PUNCT
ejpam-6921	251	1	+	+	CCONJ
ejpam-6921	251	2	ρ(x	ρ(x	NOUN
ejpam-6921	251	3	)	)	PUNCT
ejpam-6921	251	4	≧	≧	X
ejpam-6921	252	1	0	0	NUM
ejpam-6921	252	2	,	,	PUNCT
ejpam-6921	252	3	x	x	X
ejpam-6921	252	4	∈	∈	PROPN
ejpam-6921	252	5	k	k	NOUN
ejpam-6921	252	6	;	;	PUNCT
ejpam-6921	252	7	(	(	PUNCT
ejpam-6921	252	8	ii	ii	NOUN
ejpam-6921	252	9	)	)	PUNCT
ejpam-6921	252	10	−	−	PROPN
ejpam-6921	253	1	q∑	q∑	PROPN
ejpam-6921	253	2	δ=1	δ=1	PROPN
ejpam-6921	254	1	ωδ	ωδ	ADV
ejpam-6921	254	2	∫	∫	PROPN
ejpam-6921	254	3	k	k	PROPN
ejpam-6921	254	4	{	{	PUNCT
ejpam-6921	254	5	χδ(x	χδ(x	PROPN
ejpam-6921	254	6	,	,	PUNCT
ejpam-6921	254	7	b	b	NOUN
ejpam-6921	254	8	,	,	PUNCT
ejpam-6921	254	9	bγ	bγ	INTJ
ejpam-6921	254	10	,	,	PUNCT
ejpam-6921	254	11	ρ	ρ	PROPN
ejpam-6921	254	12	,	,	PUNCT
ejpam-6921	254	13	(	(	PUNCT
ejpam-6921	254	14	·	·	PUNCT
ejpam-6921	254	15	)	)	PUNCT
ejpam-6921	254	16	,	,	PUNCT
ejpam-6921	254	17	(	(	PUNCT
ejpam-6921	254	18	·	·	PUNCT
ejpam-6921	254	19	)	)	PUNCT
ejpam-6921	254	20	,	,	PUNCT
ejpam-6921	254	21	(	(	PUNCT
ejpam-6921	254	22	·	·	PUNCT
ejpam-6921	254	23	)	)	PUNCT
ejpam-6921	254	24	)	)	PUNCT
ejpam-6921	255	1	−	−	PROPN
ejpam-6921	256	1	y	y	PROPN
ejpam-6921	256	2	δυδ(x	δυδ(x	PROPN
ejpam-6921	256	3	,	,	PUNCT
ejpam-6921	256	4	b	b	PROPN
ejpam-6921	256	5	,	,	PUNCT
ejpam-6921	256	6	bγ	bγ	INTJ
ejpam-6921	256	7	,	,	PUNCT
ejpam-6921	256	8	ρ	ρ	PROPN
ejpam-6921	256	9	,	,	PUNCT
ejpam-6921	256	10	(	(	PUNCT
ejpam-6921	256	11	·	·	PUNCT
ejpam-6921	256	12	)	)	PUNCT
ejpam-6921	256	13	,	,	PUNCT
ejpam-6921	256	14	(	(	PUNCT
ejpam-6921	256	15	·	·	PUNCT
ejpam-6921	256	16	)	)	PUNCT
ejpam-6921	256	17	,	,	PUNCT
ejpam-6921	256	18	(	(	PUNCT
ejpam-6921	256	19	·	·	PUNCT
ejpam-6921	256	20	)	)	PUNCT
ejpam-6921	256	21	)	)	PUNCT
ejpam-6921	256	22	}	}	PUNCT
ejpam-6921	256	23	dw	dw	PROPN
ejpam-6921	256	24	is	be	AUX
ejpam-6921	256	25	pseudoinvex	pseudoinvex	NOUN
ejpam-6921	256	26	at	at	ADP
ejpam-6921	256	27	v	v	NOUN
ejpam-6921	256	28	,	,	PUNCT
ejpam-6921	256	29	vξ	vξ	NOUN
ejpam-6921	256	30	and	and	CCONJ
ejpam-6921	256	31	ϱ	ϱ	VERB
ejpam-6921	256	32	,	,	PUNCT
ejpam-6921	256	33	with	with	ADP
ejpam-6921	256	34	η(x	η(x	NOUN
ejpam-6921	256	35	,	,	PUNCT
ejpam-6921	256	36	v	v	NOUN
ejpam-6921	256	37	,	,	PUNCT
ejpam-6921	256	38	ω	ω	NOUN
ejpam-6921	256	39	)	)	PUNCT
ejpam-6921	256	40	+	+	ADJ
ejpam-6921	256	41	ω(x	ω(x	NOUN
ejpam-6921	256	42	)	)	PUNCT
ejpam-6921	256	43	≧	≧	X
ejpam-6921	256	44	0	0	NUM
ejpam-6921	256	45	,	,	PUNCT
ejpam-6921	256	46	ν(x	ν(x	PROPN
ejpam-6921	256	47	,	,	PUNCT
ejpam-6921	256	48	v	v	NOUN
ejpam-6921	256	49	,	,	PUNCT
ejpam-6921	256	50	ω	ω	NOUN
ejpam-6921	256	51	)	)	PUNCT
ejpam-6921	256	52	+	+	CCONJ
ejpam-6921	256	53	ζ(x	ζ(x	NOUN
ejpam-6921	256	54	)	)	PUNCT
ejpam-6921	256	55	≧	≧	X
ejpam-6921	257	1	0	0	NUM
ejpam-6921	257	2	,	,	PUNCT
ejpam-6921	257	3	x	x	X
ejpam-6921	257	4	∈	∈	PROPN
ejpam-6921	257	5	k	k	NOUN
ejpam-6921	257	6	;	;	PUNCT
ejpam-6921	257	7	then	then	ADV
ejpam-6921	257	8	the	the	DET
ejpam-6921	257	9	connection	connection	NOUN
ejpam-6921	257	10	y	y	PROPN
ejpam-6921	257	11	̸≤	̸≤	VERB
ejpam-6921	257	12	x	x	VERB
ejpam-6921	257	13	is	be	AUX
ejpam-6921	257	14	true	true	ADJ
ejpam-6921	257	15	between	between	ADP
ejpam-6921	257	16	the	the	DET
ejpam-6921	257	17	corresponding	corresponding	ADJ
ejpam-6921	257	18	objective	objective	ADJ
ejpam-6921	257	19	functionals	functional	NOUN
ejpam-6921	257	20	of	of	ADP
ejpam-6921	257	21	(	(	PUNCT
ejpam-6921	257	22	p	p	NOUN
ejpam-6921	257	23	’	'	PUNCT
ejpam-6921	257	24	)	)	PUNCT
ejpam-6921	257	25	and	and	CCONJ
ejpam-6921	257	26	(	(	PUNCT
ejpam-6921	257	27	d	d	NOUN
ejpam-6921	257	28	’	'	PUNCT
ejpam-6921	257	29	)	)	PUNCT
ejpam-6921	257	30	.	.	PUNCT
ejpam-6921	258	1	proof	proof	NOUN
ejpam-6921	258	2	.	.	PUNCT
ejpam-6921	259	1	by	by	ADP
ejpam-6921	259	2	considering	consider	VERB
ejpam-6921	259	3	(	(	PUNCT
ejpam-6921	259	4	10	10	NUM
ejpam-6921	259	5	)	)	PUNCT
ejpam-6921	259	6	and	and	CCONJ
ejpam-6921	259	7	(	(	PUNCT
ejpam-6921	259	8	10	10	NUM
ejpam-6921	259	9	’	'	PUNCT
ejpam-6921	259	10	)	)	PUNCT
ejpam-6921	259	11	,	,	PUNCT
ejpam-6921	259	12	together	together	ADV
ejpam-6921	259	13	with	with	ADP
ejpam-6921	259	14	z(x	z(x	NUM
ejpam-6921	259	15	,	,	PUNCT
ejpam-6921	259	16	λ	λ	PROPN
ejpam-6921	259	17	,	,	PUNCT
ejpam-6921	259	18	b	b	NOUN
ejpam-6921	259	19	)	)	PUNCT
ejpam-6921	259	20	+	+	CCONJ
ejpam-6921	259	21	b(x	b(x	NOUN
ejpam-6921	259	22	)	)	PUNCT
ejpam-6921	259	23	≧	≧	NOUN
ejpam-6921	259	24	0	0	NUM
ejpam-6921	259	25	,	,	PUNCT
ejpam-6921	259	26	µ(x	µ(x	VERB
ejpam-6921	259	27	,	,	PUNCT
ejpam-6921	259	28	λ	λ	PROPN
ejpam-6921	259	29	,	,	PUNCT
ejpam-6921	259	30	b	b	NOUN
ejpam-6921	259	31	)	)	PUNCT
ejpam-6921	259	32	+	+	CCONJ
ejpam-6921	259	33	ρ(x	ρ(x	NOUN
ejpam-6921	259	34	)	)	PUNCT
ejpam-6921	259	35	≧	≧	X
ejpam-6921	259	36	0	0	NUM
ejpam-6921	259	37	,	,	PUNCT
ejpam-6921	259	38	x	x	X
ejpam-6921	259	39	∈	∈	PROPN
ejpam-6921	259	40	k	k	NOUN
ejpam-6921	259	41	,	,	PUNCT
ejpam-6921	259	42	we	we	PRON
ejpam-6921	259	43	get	get	VERB
ejpam-6921	259	44	[	[	NOUN
ejpam-6921	259	45	z(x	z(x	NOUN
ejpam-6921	259	46	,	,	PUNCT
ejpam-6921	259	47	λ	λ	PROPN
ejpam-6921	259	48	,	,	PUNCT
ejpam-6921	259	49	b	b	NOUN
ejpam-6921	259	50	)	)	PUNCT
ejpam-6921	260	1	+	+	CCONJ
ejpam-6921	260	2	b(x)]t	b(x)]t	X
ejpam-6921	260	3	[	[	PUNCT
ejpam-6921	260	4	ω	ω	X
ejpam-6921	260	5	{	{	PUNCT
ejpam-6921	260	6	(	(	PUNCT
ejpam-6921	260	7	χλ	χλ	NOUN
ejpam-6921	260	8	−	−	PROPN
ejpam-6921	260	9	d	d	PROPN
ejpam-6921	260	10	dxγ	dxγ	PROPN
ejpam-6921	260	11	χλγ	χλγ	PROPN
ejpam-6921	260	12	)	)	PUNCT
ejpam-6921	260	13	−x	−x	PROPN
ejpam-6921	260	14	(	(	PUNCT
ejpam-6921	260	15	υλ	υλ	ADP
ejpam-6921	260	16	−	−	NOUN
ejpam-6921	261	1	d	d	NOUN
ejpam-6921	261	2	dxγ	dxγ	NOUN
ejpam-6921	261	3	υλγ	υλγ	PROPN
ejpam-6921	261	4	)	)	PUNCT
ejpam-6921	261	5	}	}	PUNCT
ejpam-6921	261	6	]	]	PUNCT
ejpam-6921	261	7	≥	≥	NOUN
ejpam-6921	261	8	0	0	NUM
ejpam-6921	261	9	,	,	PUNCT
ejpam-6921	261	10	[	[	X
ejpam-6921	261	11	µ(x	µ(x	ADJ
ejpam-6921	261	12	,	,	PUNCT
ejpam-6921	261	13	λ	λ	PROPN
ejpam-6921	261	14	,	,	PUNCT
ejpam-6921	261	15	b	b	NOUN
ejpam-6921	261	16	)	)	PUNCT
ejpam-6921	261	17	+	+	CCONJ
ejpam-6921	262	1	ρ(x)]t	ρ(x)]t	PROPN
ejpam-6921	262	2	[	[	X
ejpam-6921	262	3	ω	ω	X
ejpam-6921	262	4	{	{	PUNCT
ejpam-6921	262	5	(	(	PUNCT
ejpam-6921	262	6	χπ	χπ	PROPN
ejpam-6921	262	7	−	−	PROPN
ejpam-6921	262	8	0)−x	0)−x	PROPN
ejpam-6921	262	9	(	(	PUNCT
ejpam-6921	262	10	υπ	υπ	NOUN
ejpam-6921	262	11	−	−	PROPN
ejpam-6921	262	12	0	0	NUM
ejpam-6921	262	13	)	)	PUNCT
ejpam-6921	262	14	}	}	PUNCT
ejpam-6921	262	15	]	]	PUNCT
ejpam-6921	262	16	≥	≥	NOUN
ejpam-6921	262	17	0	0	NUM
ejpam-6921	262	18	,	,	PUNCT
ejpam-6921	262	19	and	and	CCONJ
ejpam-6921	262	20	,	,	PUNCT
ejpam-6921	262	21	by	by	ADP
ejpam-6921	262	22	using	use	VERB
ejpam-6921	262	23	(	(	PUNCT
ejpam-6921	262	24	11	11	NUM
ejpam-6921	262	25	)	)	PUNCT
ejpam-6921	262	26	and	and	CCONJ
ejpam-6921	262	27	(	(	PUNCT
ejpam-6921	262	28	11	11	NUM
ejpam-6921	262	29	’	'	PUNCT
ejpam-6921	262	30	)	)	PUNCT
ejpam-6921	262	31	,	,	PUNCT
ejpam-6921	262	32	we	we	PRON
ejpam-6921	262	33	get	get	VERB
ejpam-6921	262	34	(	(	PUNCT
ejpam-6921	262	35	z(x	z(x	NOUN
ejpam-6921	262	36	,	,	PUNCT
ejpam-6921	262	37	λ	λ	PROPN
ejpam-6921	262	38	,	,	PUNCT
ejpam-6921	262	39	b))t	b))t	PROPN
ejpam-6921	262	40	[	[	PUNCT
ejpam-6921	262	41	ω	ω	X
ejpam-6921	262	42	{	{	PUNCT
ejpam-6921	262	43	(	(	PUNCT
ejpam-6921	262	44	χλ	χλ	NOUN
ejpam-6921	262	45	−	−	PROPN
ejpam-6921	262	46	d	d	PROPN
ejpam-6921	262	47	dxγ	dxγ	PROPN
ejpam-6921	262	48	χλγ	χλγ	PROPN
ejpam-6921	262	49	)	)	PUNCT
ejpam-6921	263	1	−x	−x	PROPN
ejpam-6921	263	2	(	(	PUNCT
ejpam-6921	263	3	υλ	υλ	ADP
ejpam-6921	263	4	−	−	NOUN
ejpam-6921	264	1	d	d	NOUN
ejpam-6921	264	2	dxγ	dxγ	NOUN
ejpam-6921	264	3	υλγ	υλγ	PROPN
ejpam-6921	264	4	)	)	PUNCT
ejpam-6921	264	5	}	}	PUNCT
ejpam-6921	264	6	]	]	PUNCT
ejpam-6921	264	7	≥	≥	NOUN
ejpam-6921	264	8	0	0	NUM
ejpam-6921	264	9	,	,	PUNCT
ejpam-6921	264	10	x	x	X
ejpam-6921	264	11	∈	∈	PROPN
ejpam-6921	264	12	k	k	NOUN
ejpam-6921	264	13	,	,	PUNCT
ejpam-6921	264	14	(	(	PUNCT
ejpam-6921	264	15	µ(x	µ(x	VERB
ejpam-6921	264	16	,	,	PUNCT
ejpam-6921	264	17	λ	λ	NOUN
ejpam-6921	264	18	,	,	PUNCT
ejpam-6921	264	19	b))t	b))t	VERB
ejpam-6921	265	1	[	[	X
ejpam-6921	265	2	ω	ω	X
ejpam-6921	265	3	{	{	PUNCT
ejpam-6921	265	4	(	(	PUNCT
ejpam-6921	265	5	χπ	χπ	PROPN
ejpam-6921	265	6	−	−	PROPN
ejpam-6921	265	7	0)−x	0)−x	PROPN
ejpam-6921	265	8	(	(	PUNCT
ejpam-6921	265	9	υπ	υπ	NOUN
ejpam-6921	265	10	−	−	PROPN
ejpam-6921	265	11	0	0	NUM
ejpam-6921	265	12	)	)	PUNCT
ejpam-6921	265	13	}	}	PUNCT
ejpam-6921	265	14	]	]	PUNCT
ejpam-6921	265	15	≥	≥	NOUN
ejpam-6921	265	16	0	0	NUM
ejpam-6921	265	17	,	,	PUNCT
ejpam-6921	265	18	x	x	X
ejpam-6921	265	19	∈	∈	PROPN
ejpam-6921	265	20	k	k	NOUN
ejpam-6921	265	21	,	,	PUNCT
ejpam-6921	265	22	which	which	PRON
ejpam-6921	265	23	imply	imply	VERB
ejpam-6921	265	24	0	0	NUM
ejpam-6921	265	25	≤	≤	NUM
ejpam-6921	265	26	∫	∫	PROPN
ejpam-6921	265	27	k	k	PROPN
ejpam-6921	265	28	z(x	z(x	PROPN
ejpam-6921	265	29	,	,	PUNCT
ejpam-6921	265	30	λ	λ	PROPN
ejpam-6921	265	31	,	,	PUNCT
ejpam-6921	265	32	b)t	b)t	X
ejpam-6921	265	33	[	[	PUNCT
ejpam-6921	265	34	ω	ω	X
ejpam-6921	265	35	{	{	PUNCT
ejpam-6921	265	36	(	(	PUNCT
ejpam-6921	265	37	χλ	χλ	INTJ
ejpam-6921	265	38	−xυλ)−	−xυλ)−	NOUN
ejpam-6921	265	39	d	d	X
ejpam-6921	265	40	dxγ	dxγ	NOUN
ejpam-6921	265	41	(	(	PUNCT
ejpam-6921	265	42	χλγ	χλγ	PROPN
ejpam-6921	265	43	−xυλγ	−xυλγ	ADV
ejpam-6921	265	44	)	)	PUNCT
ejpam-6921	265	45	}	}	PUNCT
ejpam-6921	265	46	]	]	PUNCT
ejpam-6921	265	47	dw	dw	PROPN
ejpam-6921	266	1	=	=	SYM
ejpam-6921	266	2	∫	∫	PROPN
ejpam-6921	266	3	k	k	X
ejpam-6921	266	4	[	[	PUNCT
ejpam-6921	266	5	z(x	z(x	PROPN
ejpam-6921	266	6	,	,	PUNCT
ejpam-6921	266	7	λ	λ	PROPN
ejpam-6921	266	8	,	,	PUNCT
ejpam-6921	266	9	b)tω(χλ	b)tω(χλ	VERB
ejpam-6921	266	10	−xυλ	−xυλ	NOUN
ejpam-6921	266	11	)	)	PUNCT
ejpam-6921	267	1	+	+	CCONJ
ejpam-6921	267	2	dz(x	dz(x	ADJ
ejpam-6921	267	3	,	,	PUNCT
ejpam-6921	267	4	λ	λ	NOUN
ejpam-6921	267	5	,	,	PUNCT
ejpam-6921	267	6	b)t	b)t	X
ejpam-6921	267	7	dxγ	dxγ	PROPN
ejpam-6921	267	8	ω	ω	PROPN
ejpam-6921	267	9	(	(	PUNCT
ejpam-6921	267	10	χλγ	χλγ	PROPN
ejpam-6921	267	11	−xυλγ	−xυλγ	ADV
ejpam-6921	267	12	)	)	PUNCT
ejpam-6921	267	13	]	]	PUNCT
ejpam-6921	268	1	dw	dw	PROPN
ejpam-6921	268	2	−	−	PROPN
ejpam-6921	268	3	z(x	z(x	PROPN
ejpam-6921	268	4	,	,	PUNCT
ejpam-6921	268	5	λ	λ	PROPN
ejpam-6921	268	6	,	,	PUNCT
ejpam-6921	268	7	b)tω	b)tω	PROPN
ejpam-6921	268	8	(	(	PUNCT
ejpam-6921	268	9	χλγ	χλγ	PROPN
ejpam-6921	268	10	−xυλγ	−xυλγ	ADV
ejpam-6921	268	11	)	)	PUNCT
ejpam-6921	268	12	∣∣x	∣∣x	NOUN
ejpam-6921	268	13	=	=	SYM
ejpam-6921	268	14	x2	x2	NOUN
ejpam-6921	268	15	x	x	NOUN
ejpam-6921	268	16	=	=	NOUN
ejpam-6921	268	17	x1	x1	PRON
ejpam-6921	268	18	,	,	PUNCT
ejpam-6921	268	19	and	and	CCONJ
ejpam-6921	268	20	∫	∫	PROPN
ejpam-6921	268	21	k	k	X
ejpam-6921	268	22	[	[	PUNCT
ejpam-6921	268	23	µ(x	µ(x	X
ejpam-6921	268	24	,	,	PUNCT
ejpam-6921	268	25	λ	λ	PROPN
ejpam-6921	268	26	,	,	PUNCT
ejpam-6921	268	27	b)tω(χπ	b)tω(χπ	NOUN
ejpam-6921	268	28	−xυπ	−xυπ	X
ejpam-6921	268	29	)	)	PUNCT
ejpam-6921	268	30	+	+	CCONJ
ejpam-6921	268	31	dµ(x	dµ(x	ADJ
ejpam-6921	268	32	,	,	PUNCT
ejpam-6921	268	33	λ	λ	NOUN
ejpam-6921	268	34	,	,	PUNCT
ejpam-6921	268	35	b)t	b)t	X
ejpam-6921	268	36	dxγ	dxγ	NOUN
ejpam-6921	268	37	ω(0−x	ω(0−x	PROPN
ejpam-6921	268	38	·	·	PUNCT
ejpam-6921	268	39	0	0	X
ejpam-6921	268	40	)	)	PUNCT
ejpam-6921	268	41	]	]	PUNCT
ejpam-6921	269	1	dw	dw	PROPN
ejpam-6921	269	2	≥	≥	PROPN
ejpam-6921	269	3	0	0	NUM
ejpam-6921	269	4	.	.	PUNCT
ejpam-6921	270	1	since	since	SCONJ
ejpam-6921	270	2	z(x	z(x	NUM
ejpam-6921	270	3	,	,	PUNCT
ejpam-6921	270	4	λ	λ	PROPN
ejpam-6921	270	5	,	,	PUNCT
ejpam-6921	270	6	b	b	NOUN
ejpam-6921	270	7	)	)	PUNCT
ejpam-6921	270	8	=	=	SYM
ejpam-6921	270	9	0	0	NUM
ejpam-6921	270	10	,	,	PUNCT
ejpam-6921	270	11	at	at	ADP
ejpam-6921	270	12	x	x	X
ejpam-6921	270	13	=	=	SYM
ejpam-6921	270	14	x1	x1	PROPN
ejpam-6921	270	15	and	and	CCONJ
ejpam-6921	270	16	x	x	SYM
ejpam-6921	270	17	=	=	SYM
ejpam-6921	270	18	x2	x2	PROPN
ejpam-6921	270	19	,	,	PUNCT
ejpam-6921	270	20	it	it	PRON
ejpam-6921	270	21	follows∫	follows∫	VERB
ejpam-6921	270	22	k	k	X
ejpam-6921	270	23	[	[	PUNCT
ejpam-6921	270	24	z(x	z(x	NUM
ejpam-6921	270	25	,	,	PUNCT
ejpam-6921	270	26	λ	λ	PROPN
ejpam-6921	270	27	,	,	PUNCT
ejpam-6921	270	28	b)tω(χλ	b)tω(χλ	VERB
ejpam-6921	270	29	−xυλ	−xυλ	NOUN
ejpam-6921	270	30	)	)	PUNCT
ejpam-6921	271	1	+	+	CCONJ
ejpam-6921	271	2	dz(x	dz(x	ADJ
ejpam-6921	271	3	,	,	PUNCT
ejpam-6921	271	4	λ	λ	NOUN
ejpam-6921	271	5	,	,	PUNCT
ejpam-6921	271	6	b)t	b)t	X
ejpam-6921	271	7	dxγ	dxγ	PROPN
ejpam-6921	271	8	ω	ω	PROPN
ejpam-6921	271	9	(	(	PUNCT
ejpam-6921	271	10	χλγ	χλγ	PROPN
ejpam-6921	271	11	−xυλγ	−xυλγ	ADV
ejpam-6921	271	12	)	)	PUNCT
ejpam-6921	271	13	]	]	PUNCT
ejpam-6921	272	1	dw	dw	X
ejpam-6921	272	2	≥	≥	PROPN
ejpam-6921	272	3	0	0	NUM
ejpam-6921	272	4	and	and	CCONJ
ejpam-6921	272	5	∫	∫	PROPN
ejpam-6921	272	6	k	k	X
ejpam-6921	272	7	[	[	PUNCT
ejpam-6921	272	8	µ(x	µ(x	X
ejpam-6921	272	9	,	,	PUNCT
ejpam-6921	272	10	λ	λ	PROPN
ejpam-6921	272	11	,	,	PUNCT
ejpam-6921	272	12	b)tω(χπ	b)tω(χπ	NOUN
ejpam-6921	272	13	−xυπ	−xυπ	X
ejpam-6921	272	14	)	)	PUNCT
ejpam-6921	272	15	+	+	CCONJ
ejpam-6921	272	16	dµ(x	dµ(x	ADJ
ejpam-6921	272	17	,	,	PUNCT
ejpam-6921	272	18	λ	λ	NOUN
ejpam-6921	272	19	,	,	PUNCT
ejpam-6921	272	20	b)t	b)t	X
ejpam-6921	272	21	dxγ	dxγ	NOUN
ejpam-6921	272	22	ω(0−x	ω(0−x	PROPN
ejpam-6921	272	23	·	·	PUNCT
ejpam-6921	272	24	0	0	X
ejpam-6921	272	25	)	)	PUNCT
ejpam-6921	272	26	]	]	PUNCT
ejpam-6921	273	1	dw	dw	PROPN
ejpam-6921	273	2	≥	≥	PROPN
ejpam-6921	273	3	0	0	NUM
ejpam-6921	273	4	,	,	PUNCT
ejpam-6921	273	5	involving	involve	VERB
ejpam-6921	273	6	∫	∫	PROPN
ejpam-6921	273	7	k	k	PROPN
ejpam-6921	273	8	[	[	PUNCT
ejpam-6921	273	9	z(x	z(x	PROPN
ejpam-6921	273	10	,	,	PUNCT
ejpam-6921	273	11	λ	λ	PROPN
ejpam-6921	273	12	,	,	PUNCT
ejpam-6921	273	13	b)tω(χλ	b)tω(χλ	VERB
ejpam-6921	273	14	−xυλ	−xυλ	NOUN
ejpam-6921	273	15	)	)	PUNCT
ejpam-6921	274	1	+	+	CCONJ
ejpam-6921	275	1	µ(x	µ(x	VERB
ejpam-6921	275	2	,	,	PUNCT
ejpam-6921	275	3	λ	λ	PROPN
ejpam-6921	275	4	,	,	PUNCT
ejpam-6921	275	5	b)tω(χπ	b)tω(χπ	NOUN
ejpam-6921	275	6	−xυπ	−xυπ	X
ejpam-6921	275	7	)	)	PUNCT
ejpam-6921	275	8	t.	t.	PROPN
ejpam-6921	275	9	saeed	saeed	PROPN
ejpam-6921	275	10	,	,	PUNCT
ejpam-6921	275	11	s.	s.	PROPN
ejpam-6921	275	12	treanţă	treanţă	PROPN
ejpam-6921	275	13	/	/	SYM
ejpam-6921	275	14	eur	eur	PROPN
ejpam-6921	275	15	.	.	PUNCT
ejpam-6921	276	1	j.	j.	PROPN
ejpam-6921	276	2	pure	pure	PROPN
ejpam-6921	276	3	appl	appl	PROPN
ejpam-6921	276	4	.	.	PROPN
ejpam-6921	276	5	math	math	PROPN
ejpam-6921	276	6	,	,	PUNCT
ejpam-6921	276	7	18	18	NUM
ejpam-6921	276	8	(	(	PUNCT
ejpam-6921	276	9	4	4	NUM
ejpam-6921	276	10	)	)	PUNCT
ejpam-6921	276	11	(	(	PUNCT
ejpam-6921	276	12	2025	2025	NUM
ejpam-6921	276	13	)	)	PUNCT
ejpam-6921	276	14	,	,	PUNCT
ejpam-6921	276	15	6921	6921	NUM
ejpam-6921	276	16	11	11	NUM
ejpam-6921	276	17	of	of	ADP
ejpam-6921	276	18	14	14	NUM
ejpam-6921	276	19	+	+	CCONJ
ejpam-6921	276	20	dz(x	dz(x	ADJ
ejpam-6921	276	21	,	,	PUNCT
ejpam-6921	276	22	λ	λ	NOUN
ejpam-6921	276	23	,	,	PUNCT
ejpam-6921	276	24	b)t	b)t	X
ejpam-6921	276	25	dxγ	dxγ	PROPN
ejpam-6921	276	26	ω	ω	PROPN
ejpam-6921	276	27	(	(	PUNCT
ejpam-6921	276	28	χλγ	χλγ	PROPN
ejpam-6921	276	29	−xυλγ	−xυλγ	ADV
ejpam-6921	276	30	)	)	PUNCT
ejpam-6921	276	31	]	]	PUNCT
ejpam-6921	277	1	dw	dw	PROPN
ejpam-6921	277	2	≥	≥	PROPN
ejpam-6921	277	3	0	0	NUM
ejpam-6921	277	4	.	.	PUNCT
ejpam-6921	278	1	now	now	ADV
ejpam-6921	278	2	,	,	PUNCT
ejpam-6921	278	3	by	by	ADP
ejpam-6921	278	4	using	use	VERB
ejpam-6921	278	5	the	the	DET
ejpam-6921	278	6	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	278	7	assumption	assumption	NOUN
ejpam-6921	278	8	given	give	VERB
ejpam-6921	278	9	in	in	ADP
ejpam-6921	278	10	(	(	PUNCT
ejpam-6921	278	11	i	i	NOUN
ejpam-6921	278	12	)	)	PUNCT
ejpam-6921	278	13	,	,	PUNCT
ejpam-6921	278	14	we	we	PRON
ejpam-6921	278	15	obtain	obtain	VERB
ejpam-6921	278	16	ω	ω	NUM
ejpam-6921	278	17	∫	∫	PROPN
ejpam-6921	278	18	k	k	X
ejpam-6921	278	19	{	{	PUNCT
ejpam-6921	278	20	χ(x	χ(x	PROPN
ejpam-6921	278	21	,	,	PUNCT
ejpam-6921	278	22	λ	λ	PROPN
ejpam-6921	278	23	,	,	PUNCT
ejpam-6921	278	24	λγ	λγ	PROPN
ejpam-6921	278	25	,	,	PUNCT
ejpam-6921	278	26	π	π	PROPN
ejpam-6921	278	27	,	,	PUNCT
ejpam-6921	278	28	v	v	NOUN
ejpam-6921	278	29	,	,	PUNCT
ejpam-6921	278	30	vξ	vξ	NOUN
ejpam-6921	278	31	,	,	PUNCT
ejpam-6921	278	32	ϱ)−xυ(x	ϱ)−xυ(x	PROPN
ejpam-6921	278	33	,	,	PUNCT
ejpam-6921	278	34	λ	λ	PROPN
ejpam-6921	278	35	,	,	PUNCT
ejpam-6921	278	36	λγ	λγ	PROPN
ejpam-6921	278	37	,	,	PUNCT
ejpam-6921	278	38	π	π	PROPN
ejpam-6921	278	39	,	,	PUNCT
ejpam-6921	278	40	v	v	NOUN
ejpam-6921	278	41	,	,	PUNCT
ejpam-6921	278	42	vξ	vξ	NOUN
ejpam-6921	278	43	,	,	PUNCT
ejpam-6921	278	44	ϱ	ϱ	NOUN
ejpam-6921	278	45	)	)	PUNCT
ejpam-6921	278	46	}	}	PUNCT
ejpam-6921	278	47	dw	dw	PROPN
ejpam-6921	278	48	≥	≥	PROPN
ejpam-6921	279	1	ω	ω	NUM
ejpam-6921	279	2	∫	∫	PROPN
ejpam-6921	279	3	k	k	X
ejpam-6921	279	4	{	{	PUNCT
ejpam-6921	279	5	χ(x	χ(x	PROPN
ejpam-6921	279	6	,	,	PUNCT
ejpam-6921	279	7	b	b	PROPN
ejpam-6921	279	8	,	,	PUNCT
ejpam-6921	279	9	bγ	bγ	INTJ
ejpam-6921	279	10	,	,	PUNCT
ejpam-6921	279	11	ρ	ρ	PROPN
ejpam-6921	279	12	,	,	PUNCT
ejpam-6921	279	13	v	v	NOUN
ejpam-6921	279	14	,	,	PUNCT
ejpam-6921	279	15	vξ	vξ	NOUN
ejpam-6921	279	16	,	,	PUNCT
ejpam-6921	279	17	ϱ)−xυ(x	ϱ)−xυ(x	PROPN
ejpam-6921	279	18	,	,	PUNCT
ejpam-6921	279	19	b	b	X
ejpam-6921	279	20	,	,	PUNCT
ejpam-6921	279	21	bγ	bγ	INTJ
ejpam-6921	279	22	,	,	PUNCT
ejpam-6921	279	23	ρ	ρ	PROPN
ejpam-6921	279	24	,	,	PUNCT
ejpam-6921	279	25	v	v	NOUN
ejpam-6921	279	26	,	,	PUNCT
ejpam-6921	279	27	vξ	vξ	NOUN
ejpam-6921	279	28	,	,	PUNCT
ejpam-6921	279	29	ϱ	ϱ	NOUN
ejpam-6921	279	30	)	)	PUNCT
ejpam-6921	279	31	}	}	PUNCT
ejpam-6921	279	32	dw	dw	PROPN
ejpam-6921	279	33	.	.	PUNCT
ejpam-6921	280	1	by	by	ADP
ejpam-6921	280	2	(	(	PUNCT
ejpam-6921	280	3	9	9	NUM
ejpam-6921	280	4	)	)	PUNCT
ejpam-6921	280	5	,	,	PUNCT
ejpam-6921	280	6	the	the	DET
ejpam-6921	280	7	inequality	inequality	NOUN
ejpam-6921	280	8	given	give	VERB
ejpam-6921	280	9	above	above	ADV
ejpam-6921	280	10	involves	involve	VERB
ejpam-6921	280	11	ω	ω	PROPN
ejpam-6921	280	12	∫	∫	PROPN
ejpam-6921	280	13	k	k	X
ejpam-6921	280	14	{	{	PUNCT
ejpam-6921	280	15	χ(x	χ(x	PROPN
ejpam-6921	280	16	,	,	PUNCT
ejpam-6921	280	17	λ	λ	PROPN
ejpam-6921	280	18	,	,	PUNCT
ejpam-6921	280	19	λγ	λγ	PROPN
ejpam-6921	280	20	,	,	PUNCT
ejpam-6921	280	21	π	π	PROPN
ejpam-6921	280	22	,	,	PUNCT
ejpam-6921	280	23	v	v	NOUN
ejpam-6921	280	24	,	,	PUNCT
ejpam-6921	280	25	vξ	vξ	NOUN
ejpam-6921	280	26	,	,	PUNCT
ejpam-6921	280	27	ϱ)−xυ(x	ϱ)−xυ(x	PROPN
ejpam-6921	280	28	,	,	PUNCT
ejpam-6921	280	29	λ	λ	PROPN
ejpam-6921	280	30	,	,	PUNCT
ejpam-6921	280	31	λγ	λγ	PROPN
ejpam-6921	280	32	,	,	PUNCT
ejpam-6921	280	33	π	π	PROPN
ejpam-6921	280	34	,	,	PUNCT
ejpam-6921	280	35	v	v	NOUN
ejpam-6921	280	36	,	,	PUNCT
ejpam-6921	280	37	vξ	vξ	NOUN
ejpam-6921	280	38	,	,	PUNCT
ejpam-6921	280	39	ϱ	ϱ	NOUN
ejpam-6921	280	40	)	)	PUNCT
ejpam-6921	280	41	}	}	PUNCT
ejpam-6921	280	42	dw	dw	NOUN
ejpam-6921	280	43	≥	≥	NOUN
ejpam-6921	280	44	0	0	NUM
ejpam-6921	280	45	.	.	PUNCT
ejpam-6921	281	1	(	(	PUNCT
ejpam-6921	281	2	13	13	NUM
ejpam-6921	281	3	)	)	PUNCT
ejpam-6921	281	4	on	on	ADP
ejpam-6921	281	5	the	the	DET
ejpam-6921	281	6	other	other	ADJ
ejpam-6921	281	7	hand	hand	NOUN
ejpam-6921	281	8	,	,	PUNCT
ejpam-6921	282	1	relations	relation	NOUN
ejpam-6921	282	2	given	give	VERB
ejpam-6921	282	3	in	in	ADP
ejpam-6921	282	4	(	(	PUNCT
ejpam-6921	282	5	4	4	NUM
ejpam-6921	282	6	)	)	PUNCT
ejpam-6921	282	7	and	and	CCONJ
ejpam-6921	282	8	(	(	PUNCT
ejpam-6921	282	9	4	4	NUM
ejpam-6921	282	10	’	'	PUNCT
ejpam-6921	282	11	)	)	PUNCT
ejpam-6921	282	12	,	,	PUNCT
ejpam-6921	282	13	together	together	ADV
ejpam-6921	282	14	with	with	ADP
ejpam-6921	282	15	η(x	η(x	NOUN
ejpam-6921	282	16	,	,	PUNCT
ejpam-6921	282	17	v	v	NOUN
ejpam-6921	282	18	,	,	PUNCT
ejpam-6921	282	19	ω	ω	NOUN
ejpam-6921	282	20	)	)	PUNCT
ejpam-6921	282	21	+	+	ADJ
ejpam-6921	282	22	ω(x	ω(x	NOUN
ejpam-6921	282	23	)	)	PUNCT
ejpam-6921	282	24	≧	≧	X
ejpam-6921	282	25	0	0	NUM
ejpam-6921	282	26	,	,	PUNCT
ejpam-6921	282	27	ν(x	ν(x	PROPN
ejpam-6921	282	28	,	,	PUNCT
ejpam-6921	282	29	v	v	NOUN
ejpam-6921	282	30	,	,	PUNCT
ejpam-6921	282	31	ω	ω	NOUN
ejpam-6921	282	32	)	)	PUNCT
ejpam-6921	282	33	+	+	CCONJ
ejpam-6921	282	34	ζ(x	ζ(x	NOUN
ejpam-6921	282	35	)	)	PUNCT
ejpam-6921	282	36	≧	≧	X
ejpam-6921	282	37	0	0	NUM
ejpam-6921	282	38	,	,	PUNCT
ejpam-6921	282	39	x	x	X
ejpam-6921	282	40	∈	∈	PROPN
ejpam-6921	282	41	k	k	NOUN
ejpam-6921	282	42	,	,	PUNCT
ejpam-6921	282	43	implies	imply	VERB
ejpam-6921	282	44	[	[	X
ejpam-6921	282	45	η(x	η(x	X
ejpam-6921	282	46	,	,	PUNCT
ejpam-6921	282	47	v	v	NOUN
ejpam-6921	282	48	,	,	PUNCT
ejpam-6921	282	49	ω	ω	NOUN
ejpam-6921	282	50	)	)	PUNCT
ejpam-6921	283	1	+	+	CCONJ
ejpam-6921	283	2	ω(x)]t	ω(x)]t	PUNCT
ejpam-6921	283	3	[	[	PUNCT
ejpam-6921	283	4	ω	ω	X
ejpam-6921	283	5	{	{	PUNCT
ejpam-6921	283	6	(	(	PUNCT
ejpam-6921	283	7	χω	χω	ADP
ejpam-6921	283	8	−	−	PROPN
ejpam-6921	283	9	d	d	PROPN
ejpam-6921	283	10	dxξ	dxξ	NOUN
ejpam-6921	283	11	χωξ	χωξ	ADJ
ejpam-6921	283	12	)	)	PUNCT
ejpam-6921	283	13	−	−	PROPN
ejpam-6921	284	1	y	y	PROPN
ejpam-6921	284	2	(	(	PUNCT
ejpam-6921	284	3	υω	υω	ADP
ejpam-6921	284	4	−	−	PROPN
ejpam-6921	284	5	d	d	PROPN
ejpam-6921	284	6	dxξ	dxξ	PROPN
ejpam-6921	284	7	υωξ	υωξ	PROPN
ejpam-6921	284	8	)	)	PUNCT
ejpam-6921	284	9	}	}	PUNCT
ejpam-6921	284	10	]	]	PUNCT
ejpam-6921	284	11	≤	≤	NUM
ejpam-6921	284	12	0	0	NUM
ejpam-6921	284	13	,	,	PUNCT
ejpam-6921	284	14	[	[	X
ejpam-6921	284	15	ν(x	ν(x	PROPN
ejpam-6921	284	16	,	,	PUNCT
ejpam-6921	284	17	v	v	NOUN
ejpam-6921	284	18	,	,	PUNCT
ejpam-6921	284	19	ω	ω	NOUN
ejpam-6921	284	20	)	)	PUNCT
ejpam-6921	284	21	+	+	CCONJ
ejpam-6921	284	22	ζ(x)]t	ζ(x)]t	VERB
ejpam-6921	285	1	[	[	X
ejpam-6921	285	2	ω	ω	X
ejpam-6921	285	3	{	{	PUNCT
ejpam-6921	285	4	(	(	PUNCT
ejpam-6921	285	5	χζ	χζ	ADP
ejpam-6921	285	6	−	−	PROPN
ejpam-6921	285	7	0)−	0)−	PROPN
ejpam-6921	285	8	y	y	PROPN
ejpam-6921	285	9	(	(	PUNCT
ejpam-6921	285	10	υζ	υζ	NOUN
ejpam-6921	285	11	−	−	PROPN
ejpam-6921	285	12	0	0	NUM
ejpam-6921	285	13	)	)	PUNCT
ejpam-6921	285	14	}	}	PUNCT
ejpam-6921	285	15	]	]	PUNCT
ejpam-6921	285	16	≤	≤	NUM
ejpam-6921	285	17	0	0	NUM
ejpam-6921	285	18	,	,	PUNCT
ejpam-6921	285	19	and	and	CCONJ
ejpam-6921	285	20	,	,	PUNCT
ejpam-6921	285	21	by	by	ADP
ejpam-6921	285	22	using	use	VERB
ejpam-6921	285	23	(	(	PUNCT
ejpam-6921	285	24	5	5	NUM
ejpam-6921	285	25	)	)	PUNCT
ejpam-6921	285	26	and	and	CCONJ
ejpam-6921	285	27	(	(	PUNCT
ejpam-6921	285	28	5	5	NUM
ejpam-6921	285	29	’	'	PUNCT
ejpam-6921	285	30	)	)	PUNCT
ejpam-6921	285	31	,	,	PUNCT
ejpam-6921	285	32	we	we	PRON
ejpam-6921	285	33	get	get	VERB
ejpam-6921	285	34	(	(	PUNCT
ejpam-6921	285	35	η(x	η(x	NOUN
ejpam-6921	285	36	,	,	PUNCT
ejpam-6921	285	37	v	v	NOUN
ejpam-6921	285	38	,	,	PUNCT
ejpam-6921	285	39	ω))t	ω))t	NOUN
ejpam-6921	285	40	[	[	PUNCT
ejpam-6921	285	41	ω	ω	X
ejpam-6921	285	42	{	{	PUNCT
ejpam-6921	285	43	(	(	PUNCT
ejpam-6921	285	44	χω	χω	ADP
ejpam-6921	285	45	−	−	PROPN
ejpam-6921	285	46	d	d	PROPN
ejpam-6921	285	47	dxξ	dxξ	NOUN
ejpam-6921	285	48	χωξ	χωξ	ADJ
ejpam-6921	285	49	)	)	PUNCT
ejpam-6921	285	50	−	−	PROPN
ejpam-6921	286	1	y	y	PROPN
ejpam-6921	286	2	(	(	PUNCT
ejpam-6921	286	3	υω	υω	ADP
ejpam-6921	286	4	−	−	PROPN
ejpam-6921	286	5	d	d	PROPN
ejpam-6921	286	6	dxξ	dxξ	PROPN
ejpam-6921	286	7	υωξ	υωξ	PROPN
ejpam-6921	286	8	)	)	PUNCT
ejpam-6921	286	9	}	}	PUNCT
ejpam-6921	286	10	]	]	PUNCT
ejpam-6921	286	11	≤	≤	NUM
ejpam-6921	286	12	0	0	NUM
ejpam-6921	286	13	,	,	PUNCT
ejpam-6921	286	14	x	x	X
ejpam-6921	286	15	∈	∈	PROPN
ejpam-6921	286	16	k	k	NOUN
ejpam-6921	286	17	,	,	PUNCT
ejpam-6921	286	18	(	(	PUNCT
ejpam-6921	286	19	ν(x	ν(x	PROPN
ejpam-6921	286	20	,	,	PUNCT
ejpam-6921	286	21	v	v	NOUN
ejpam-6921	286	22	,	,	PUNCT
ejpam-6921	286	23	ω))t	ω))t	VERB
ejpam-6921	287	1	[	[	X
ejpam-6921	287	2	ω	ω	X
ejpam-6921	287	3	{	{	PUNCT
ejpam-6921	287	4	(	(	PUNCT
ejpam-6921	287	5	χζ	χζ	ADP
ejpam-6921	287	6	−	−	PROPN
ejpam-6921	287	7	0)−	0)−	PROPN
ejpam-6921	288	1	y	y	PROPN
ejpam-6921	288	2	(	(	PUNCT
ejpam-6921	288	3	υζ	υζ	NOUN
ejpam-6921	288	4	−	−	PROPN
ejpam-6921	288	5	0	0	NUM
ejpam-6921	288	6	)	)	PUNCT
ejpam-6921	288	7	}	}	PUNCT
ejpam-6921	288	8	]	]	PUNCT
ejpam-6921	288	9	≤	≤	NUM
ejpam-6921	288	10	0	0	NUM
ejpam-6921	288	11	,	,	PUNCT
ejpam-6921	288	12	x	x	X
ejpam-6921	288	13	∈	∈	PROPN
ejpam-6921	288	14	k	k	NOUN
ejpam-6921	288	15	,	,	PUNCT
ejpam-6921	288	16	which	which	PRON
ejpam-6921	288	17	imply	imply	VERB
ejpam-6921	288	18	0	0	NUM
ejpam-6921	288	19	≥	≥	NUM
ejpam-6921	288	20	∫	∫	PROPN
ejpam-6921	288	21	k	k	X
ejpam-6921	288	22	η(x	η(x	PROPN
ejpam-6921	288	23	,	,	PUNCT
ejpam-6921	288	24	v	v	NOUN
ejpam-6921	288	25	,	,	PUNCT
ejpam-6921	288	26	ω)t	ω)t	VERB
ejpam-6921	288	27	[	[	PUNCT
ejpam-6921	288	28	ω	ω	X
ejpam-6921	288	29	{	{	PUNCT
ejpam-6921	288	30	(	(	PUNCT
ejpam-6921	288	31	χω	χω	ADP
ejpam-6921	288	32	−	−	PROPN
ejpam-6921	288	33	yυω)−	yυω)−	PROPN
ejpam-6921	288	34	d	d	PROPN
ejpam-6921	288	35	dxξ	dxξ	PROPN
ejpam-6921	288	36	(	(	PUNCT
ejpam-6921	288	37	χωξ	χωξ	ADJ
ejpam-6921	288	38	−	−	PROPN
ejpam-6921	288	39	yυωξ	yυωξ	NOUN
ejpam-6921	288	40	)	)	PUNCT
ejpam-6921	288	41	}	}	PUNCT
ejpam-6921	288	42	]	]	PUNCT
ejpam-6921	288	43	dw	dw	PROPN
ejpam-6921	288	44	=	=	SYM
ejpam-6921	288	45	∫	∫	PROPN
ejpam-6921	288	46	k	k	X
ejpam-6921	288	47	[	[	PUNCT
ejpam-6921	288	48	η(x	η(x	PROPN
ejpam-6921	288	49	,	,	PUNCT
ejpam-6921	288	50	v	v	NOUN
ejpam-6921	288	51	,	,	PUNCT
ejpam-6921	288	52	ω)tω(χω	ω)tω(χω	ADJ
ejpam-6921	288	53	−	−	NOUN
ejpam-6921	288	54	yυω	yυω	NOUN
ejpam-6921	288	55	)	)	PUNCT
ejpam-6921	288	56	+	+	CCONJ
ejpam-6921	288	57	dη(x	dη(x	NOUN
ejpam-6921	288	58	,	,	PUNCT
ejpam-6921	288	59	v	v	NOUN
ejpam-6921	288	60	,	,	PUNCT
ejpam-6921	288	61	ω)t	ω)t	NOUN
ejpam-6921	288	62	dxξ	dxξ	PROPN
ejpam-6921	288	63	ω	ω	PROPN
ejpam-6921	288	64	(	(	PUNCT
ejpam-6921	288	65	χωξ	χωξ	ADJ
ejpam-6921	288	66	−	−	PROPN
ejpam-6921	288	67	yυωξ	yυωξ	PROPN
ejpam-6921	288	68	)	)	PUNCT
ejpam-6921	288	69	]	]	PUNCT
ejpam-6921	289	1	dw	dw	PROPN
ejpam-6921	289	2	−	−	PROPN
ejpam-6921	289	3	η(x	η(x	PROPN
ejpam-6921	289	4	,	,	PUNCT
ejpam-6921	289	5	v	v	NOUN
ejpam-6921	289	6	,	,	PUNCT
ejpam-6921	289	7	ω)tω	ω)tω	PROPN
ejpam-6921	289	8	(	(	PUNCT
ejpam-6921	289	9	χωξ	χωξ	NOUN
ejpam-6921	289	10	−	−	PROPN
ejpam-6921	289	11	yυωξ	yυωξ	PROPN
ejpam-6921	289	12	)	)	PUNCT
ejpam-6921	289	13	∣∣x	∣∣x	NOUN
ejpam-6921	289	14	=	=	SYM
ejpam-6921	289	15	x2	x2	NOUN
ejpam-6921	289	16	x	x	NOUN
ejpam-6921	289	17	=	=	NOUN
ejpam-6921	289	18	x1	x1	PRON
ejpam-6921	289	19	,	,	PUNCT
ejpam-6921	289	20	and	and	CCONJ
ejpam-6921	289	21	∫	∫	PROPN
ejpam-6921	289	22	k	k	X
ejpam-6921	289	23	[	[	PUNCT
ejpam-6921	289	24	ν(x	ν(x	PROPN
ejpam-6921	289	25	,	,	PUNCT
ejpam-6921	289	26	v	v	NOUN
ejpam-6921	289	27	,	,	PUNCT
ejpam-6921	289	28	ω)tω(χζ	ω)tω(χζ	PRON
ejpam-6921	289	29	−	−	PROPN
ejpam-6921	289	30	yυζ	yυζ	NOUN
ejpam-6921	289	31	)	)	PUNCT
ejpam-6921	289	32	+	+	CCONJ
ejpam-6921	289	33	dν(x	dν(x	NOUN
ejpam-6921	289	34	,	,	PUNCT
ejpam-6921	289	35	v	v	NOUN
ejpam-6921	289	36	,	,	PUNCT
ejpam-6921	289	37	ω)t	ω)t	NOUN
ejpam-6921	289	38	dxξ	dxξ	X
ejpam-6921	289	39	ω(0−	ω(0−	PROPN
ejpam-6921	289	40	y	y	PROPN
ejpam-6921	289	41	·	·	PUNCT
ejpam-6921	289	42	0	0	NUM
ejpam-6921	289	43	)	)	PUNCT
ejpam-6921	289	44	]	]	PUNCT
ejpam-6921	289	45	dw	dw	PROPN
ejpam-6921	289	46	≤	≤	ADV
ejpam-6921	289	47	0	0	NUM
ejpam-6921	289	48	.	.	PUNCT
ejpam-6921	290	1	since	since	SCONJ
ejpam-6921	290	2	η(x	η(x	NOUN
ejpam-6921	290	3	,	,	PUNCT
ejpam-6921	290	4	v	v	NOUN
ejpam-6921	290	5	,	,	PUNCT
ejpam-6921	290	6	ω	ω	NOUN
ejpam-6921	290	7	)	)	PUNCT
ejpam-6921	290	8	=	=	SYM
ejpam-6921	290	9	0	0	NUM
ejpam-6921	290	10	,	,	PUNCT
ejpam-6921	290	11	at	at	ADP
ejpam-6921	290	12	x	x	X
ejpam-6921	290	13	=	=	SYM
ejpam-6921	290	14	x1	x1	PROPN
ejpam-6921	290	15	and	and	CCONJ
ejpam-6921	290	16	x	x	SYM
ejpam-6921	290	17	=	=	SYM
ejpam-6921	290	18	x2	x2	PROPN
ejpam-6921	290	19	,	,	PUNCT
ejpam-6921	290	20	it	it	PRON
ejpam-6921	290	21	follows∫	follows∫	VERB
ejpam-6921	290	22	k	k	X
ejpam-6921	290	23	[	[	PUNCT
ejpam-6921	290	24	η(x	η(x	PROPN
ejpam-6921	290	25	,	,	PUNCT
ejpam-6921	290	26	v	v	NOUN
ejpam-6921	290	27	,	,	PUNCT
ejpam-6921	290	28	ω)tω(χω	ω)tω(χω	ADJ
ejpam-6921	290	29	−	−	NOUN
ejpam-6921	290	30	yυω	yυω	NOUN
ejpam-6921	290	31	)	)	PUNCT
ejpam-6921	290	32	+	+	CCONJ
ejpam-6921	290	33	dη(x	dη(x	NOUN
ejpam-6921	290	34	,	,	PUNCT
ejpam-6921	290	35	v	v	NOUN
ejpam-6921	290	36	,	,	PUNCT
ejpam-6921	290	37	ω)t	ω)t	NOUN
ejpam-6921	290	38	dxξ	dxξ	PROPN
ejpam-6921	290	39	ω	ω	PROPN
ejpam-6921	290	40	(	(	PUNCT
ejpam-6921	290	41	χωξ	χωξ	ADJ
ejpam-6921	290	42	−	−	PROPN
ejpam-6921	290	43	yυωξ	yυωξ	PROPN
ejpam-6921	290	44	)	)	PUNCT
ejpam-6921	290	45	]	]	PUNCT
ejpam-6921	291	1	dw	dw	PROPN
ejpam-6921	291	2	≤	≤	PROPN
ejpam-6921	291	3	0	0	NUM
ejpam-6921	292	1	and	and	CCONJ
ejpam-6921	292	2	∫	∫	PROPN
ejpam-6921	292	3	k	k	PROPN
ejpam-6921	292	4	[	[	PUNCT
ejpam-6921	292	5	ν(x	ν(x	PROPN
ejpam-6921	292	6	,	,	PUNCT
ejpam-6921	292	7	v	v	NOUN
ejpam-6921	292	8	,	,	PUNCT
ejpam-6921	292	9	ω)tω(χζ	ω)tω(χζ	PRON
ejpam-6921	292	10	−	−	PROPN
ejpam-6921	292	11	yυζ	yυζ	NOUN
ejpam-6921	292	12	)	)	PUNCT
ejpam-6921	292	13	+	+	CCONJ
ejpam-6921	292	14	dν(x	dν(x	NOUN
ejpam-6921	292	15	,	,	PUNCT
ejpam-6921	292	16	v	v	NOUN
ejpam-6921	292	17	,	,	PUNCT
ejpam-6921	292	18	ω)t	ω)t	NOUN
ejpam-6921	292	19	dxξ	dxξ	X
ejpam-6921	292	20	ω(0−	ω(0−	PROPN
ejpam-6921	292	21	y	y	PROPN
ejpam-6921	292	22	·	·	PUNCT
ejpam-6921	292	23	0	0	NUM
ejpam-6921	292	24	)	)	PUNCT
ejpam-6921	292	25	]	]	PUNCT
ejpam-6921	293	1	dw	dw	PROPN
ejpam-6921	293	2	≤	≤	ADV
ejpam-6921	293	3	0	0	NUM
ejpam-6921	293	4	,	,	PUNCT
ejpam-6921	293	5	t.	t.	PROPN
ejpam-6921	293	6	saeed	saeed	PROPN
ejpam-6921	293	7	,	,	PUNCT
ejpam-6921	293	8	s.	s.	PROPN
ejpam-6921	293	9	treanţă	treanţă	PROPN
ejpam-6921	293	10	/	/	SYM
ejpam-6921	293	11	eur	eur	PROPN
ejpam-6921	293	12	.	.	PUNCT
ejpam-6921	294	1	j.	j.	PROPN
ejpam-6921	294	2	pure	pure	PROPN
ejpam-6921	294	3	appl	appl	PROPN
ejpam-6921	294	4	.	.	PROPN
ejpam-6921	294	5	math	math	PROPN
ejpam-6921	294	6	,	,	PUNCT
ejpam-6921	294	7	18	18	NUM
ejpam-6921	294	8	(	(	PUNCT
ejpam-6921	294	9	4	4	NUM
ejpam-6921	294	10	)	)	PUNCT
ejpam-6921	294	11	(	(	PUNCT
ejpam-6921	294	12	2025	2025	NUM
ejpam-6921	294	13	)	)	PUNCT
ejpam-6921	294	14	,	,	PUNCT
ejpam-6921	294	15	6921	6921	NUM
ejpam-6921	294	16	12	12	NUM
ejpam-6921	294	17	of	of	ADP
ejpam-6921	294	18	14	14	NUM
ejpam-6921	294	19	involving	involve	VERB
ejpam-6921	294	20	∫	∫	PROPN
ejpam-6921	294	21	k	k	PROPN
ejpam-6921	294	22	[	[	PUNCT
ejpam-6921	294	23	η(x	η(x	PROPN
ejpam-6921	294	24	,	,	PUNCT
ejpam-6921	294	25	v	v	NOUN
ejpam-6921	294	26	,	,	PUNCT
ejpam-6921	294	27	ω)tω(χω	ω)tω(χω	ADJ
ejpam-6921	294	28	−	−	NOUN
ejpam-6921	294	29	yυω	yυω	NOUN
ejpam-6921	294	30	)	)	PUNCT
ejpam-6921	294	31	+	+	CCONJ
ejpam-6921	295	1	ν(x	ν(x	PROPN
ejpam-6921	295	2	,	,	PUNCT
ejpam-6921	295	3	v	v	NOUN
ejpam-6921	295	4	,	,	PUNCT
ejpam-6921	295	5	ω)tω(χζ	ω)tω(χζ	PRON
ejpam-6921	295	6	−	−	PROPN
ejpam-6921	295	7	yυζ	yυζ	NOUN
ejpam-6921	295	8	)	)	PUNCT
ejpam-6921	295	9	+	+	CCONJ
ejpam-6921	295	10	dη(x	dη(x	NOUN
ejpam-6921	295	11	,	,	PUNCT
ejpam-6921	295	12	v	v	NOUN
ejpam-6921	295	13	,	,	PUNCT
ejpam-6921	295	14	ω)t	ω)t	NOUN
ejpam-6921	295	15	dxξ	dxξ	PROPN
ejpam-6921	295	16	ω	ω	PROPN
ejpam-6921	295	17	(	(	PUNCT
ejpam-6921	295	18	χωξ	χωξ	ADJ
ejpam-6921	295	19	−	−	PROPN
ejpam-6921	295	20	yυωξ	yυωξ	PROPN
ejpam-6921	295	21	)	)	PUNCT
ejpam-6921	295	22	]	]	PUNCT
ejpam-6921	296	1	dw	dw	PROPN
ejpam-6921	296	2	≤	≤	ADV
ejpam-6921	296	3	0	0	NUM
ejpam-6921	296	4	.	.	PUNCT
ejpam-6921	297	1	now	now	ADV
ejpam-6921	297	2	,	,	PUNCT
ejpam-6921	297	3	by	by	ADP
ejpam-6921	297	4	using	use	VERB
ejpam-6921	297	5	the	the	DET
ejpam-6921	297	6	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	297	7	assumption	assumption	NOUN
ejpam-6921	297	8	given	give	VERB
ejpam-6921	297	9	in	in	ADP
ejpam-6921	297	10	(	(	PUNCT
ejpam-6921	297	11	ii	ii	NOUN
ejpam-6921	297	12	)	)	PUNCT
ejpam-6921	297	13	,	,	PUNCT
ejpam-6921	297	14	we	we	PRON
ejpam-6921	297	15	obtain	obtain	VERB
ejpam-6921	297	16	ω	ω	NUM
ejpam-6921	297	17	∫	∫	PROPN
ejpam-6921	297	18	k	k	X
ejpam-6921	297	19	{	{	PUNCT
ejpam-6921	297	20	χ(x	χ(x	PROPN
ejpam-6921	297	21	,	,	PUNCT
ejpam-6921	297	22	λ	λ	PROPN
ejpam-6921	297	23	,	,	PUNCT
ejpam-6921	297	24	λγ	λγ	PROPN
ejpam-6921	297	25	,	,	PUNCT
ejpam-6921	297	26	π	π	PROPN
ejpam-6921	297	27	,	,	PUNCT
ejpam-6921	297	28	v	v	NOUN
ejpam-6921	297	29	,	,	PUNCT
ejpam-6921	297	30	vξ	vξ	PROPN
ejpam-6921	297	31	,	,	PUNCT
ejpam-6921	297	32	ϱ)−	ϱ)−	PROPN
ejpam-6921	297	33	yυ(x	yυ(x	NUM
ejpam-6921	297	34	,	,	PUNCT
ejpam-6921	297	35	λ	λ	PROPN
ejpam-6921	297	36	,	,	PUNCT
ejpam-6921	297	37	λγ	λγ	PROPN
ejpam-6921	297	38	,	,	PUNCT
ejpam-6921	297	39	π	π	PROPN
ejpam-6921	297	40	,	,	PUNCT
ejpam-6921	297	41	v	v	NOUN
ejpam-6921	297	42	,	,	PUNCT
ejpam-6921	297	43	vξ	vξ	NOUN
ejpam-6921	297	44	,	,	PUNCT
ejpam-6921	297	45	ϱ	ϱ	NOUN
ejpam-6921	297	46	)	)	PUNCT
ejpam-6921	297	47	}	}	PUNCT
ejpam-6921	297	48	dw	dw	VERB
ejpam-6921	297	49	≤	≤	PROPN
ejpam-6921	297	50	ω	ω	NUM
ejpam-6921	297	51	∫	∫	PROPN
ejpam-6921	298	1	k	k	X
ejpam-6921	298	2	{	{	PUNCT
ejpam-6921	298	3	χ(x	χ(x	PROPN
ejpam-6921	298	4	,	,	PUNCT
ejpam-6921	298	5	λ	λ	PROPN
ejpam-6921	298	6	,	,	PUNCT
ejpam-6921	298	7	λγ	λγ	PROPN
ejpam-6921	298	8	,	,	PUNCT
ejpam-6921	298	9	π	π	PROPN
ejpam-6921	298	10	,	,	PUNCT
ejpam-6921	298	11	ω	ω	PROPN
ejpam-6921	298	12	,	,	PUNCT
ejpam-6921	298	13	ωξ	ωξ	ADP
ejpam-6921	298	14	,	,	PUNCT
ejpam-6921	298	15	ζ)−	ζ)−	PROPN
ejpam-6921	298	16	yυ(x	yυ(x	NUM
ejpam-6921	298	17	,	,	PUNCT
ejpam-6921	298	18	λ	λ	PROPN
ejpam-6921	298	19	,	,	PUNCT
ejpam-6921	298	20	λγ	λγ	PROPN
ejpam-6921	298	21	,	,	PUNCT
ejpam-6921	298	22	π	π	PROPN
ejpam-6921	298	23	,	,	PUNCT
ejpam-6921	298	24	ω	ω	PROPN
ejpam-6921	298	25	,	,	PUNCT
ejpam-6921	298	26	ωξ	ωξ	ADP
ejpam-6921	298	27	,	,	PUNCT
ejpam-6921	298	28	ζ	ζ	NOUN
ejpam-6921	298	29	)	)	PUNCT
ejpam-6921	298	30	}	}	PUNCT
ejpam-6921	298	31	dw	dw	PROPN
ejpam-6921	298	32	.	.	PUNCT
ejpam-6921	299	1	by	by	ADP
ejpam-6921	299	2	(	(	PUNCT
ejpam-6921	299	3	3	3	NUM
ejpam-6921	299	4	)	)	PUNCT
ejpam-6921	299	5	,	,	PUNCT
ejpam-6921	299	6	the	the	DET
ejpam-6921	299	7	inequality	inequality	NOUN
ejpam-6921	299	8	given	give	VERB
ejpam-6921	299	9	above	above	ADV
ejpam-6921	299	10	involves	involve	VERB
ejpam-6921	299	11	ω	ω	PROPN
ejpam-6921	299	12	∫	∫	PROPN
ejpam-6921	299	13	k	k	X
ejpam-6921	299	14	{	{	PUNCT
ejpam-6921	299	15	χ(x	χ(x	PROPN
ejpam-6921	299	16	,	,	PUNCT
ejpam-6921	299	17	λ	λ	PROPN
ejpam-6921	299	18	,	,	PUNCT
ejpam-6921	299	19	λγ	λγ	PROPN
ejpam-6921	299	20	,	,	PUNCT
ejpam-6921	299	21	π	π	PROPN
ejpam-6921	299	22	,	,	PUNCT
ejpam-6921	299	23	v	v	NOUN
ejpam-6921	299	24	,	,	PUNCT
ejpam-6921	299	25	vξ	vξ	PROPN
ejpam-6921	299	26	,	,	PUNCT
ejpam-6921	299	27	ϱ)−	ϱ)−	PROPN
ejpam-6921	299	28	yυ(x	yυ(x	NUM
ejpam-6921	299	29	,	,	PUNCT
ejpam-6921	299	30	λ	λ	PROPN
ejpam-6921	299	31	,	,	PUNCT
ejpam-6921	299	32	λγ	λγ	PROPN
ejpam-6921	299	33	,	,	PUNCT
ejpam-6921	299	34	π	π	PROPN
ejpam-6921	299	35	,	,	PUNCT
ejpam-6921	299	36	v	v	NOUN
ejpam-6921	299	37	,	,	PUNCT
ejpam-6921	299	38	vξ	vξ	NOUN
ejpam-6921	299	39	,	,	PUNCT
ejpam-6921	299	40	ϱ	ϱ	NOUN
ejpam-6921	299	41	)	)	PUNCT
ejpam-6921	299	42	}	}	PUNCT
ejpam-6921	299	43	dw	dw	VERB
ejpam-6921	299	44	≤	≤	ADJ
ejpam-6921	299	45	0	0	NUM
ejpam-6921	299	46	.	.	PUNCT
ejpam-6921	300	1	the	the	DET
ejpam-6921	300	2	above	above	ADJ
ejpam-6921	300	3	inequality	inequality	NOUN
ejpam-6921	300	4	along	along	ADP
ejpam-6921	300	5	with	with	ADP
ejpam-6921	300	6	(	(	PUNCT
ejpam-6921	300	7	13	13	NUM
ejpam-6921	300	8	)	)	PUNCT
ejpam-6921	300	9	yields	yield	NOUN
ejpam-6921	300	10	q∑	q∑	PROPN
ejpam-6921	300	11	δ=1	δ=1	PROPN
ejpam-6921	300	12	ωδ	ωδ	PROPN
ejpam-6921	300	13	(	(	PUNCT
ejpam-6921	300	14	y	y	PROPN
ejpam-6921	300	15	δ	δ	PROPN
ejpam-6921	300	16	−xδ	−xδ	ADV
ejpam-6921	300	17	)	)	PUNCT
ejpam-6921	300	18	∫	∫	PROPN
ejpam-6921	301	1	k	k	PROPN
ejpam-6921	301	2	υδ(x	υδ(x	PROPN
ejpam-6921	301	3	,	,	PUNCT
ejpam-6921	301	4	λ	λ	PROPN
ejpam-6921	301	5	,	,	PUNCT
ejpam-6921	301	6	λγ	λγ	PROPN
ejpam-6921	301	7	,	,	PUNCT
ejpam-6921	301	8	π	π	PROPN
ejpam-6921	301	9	,	,	PUNCT
ejpam-6921	301	10	v	v	NOUN
ejpam-6921	301	11	,	,	PUNCT
ejpam-6921	301	12	vξ	vξ	NOUN
ejpam-6921	301	13	,	,	PUNCT
ejpam-6921	301	14	ϱ)dw	ϱ)dw	PROPN
ejpam-6921	301	15	≥	≥	NOUN
ejpam-6921	301	16	0	0	NUM
ejpam-6921	301	17	.	.	PUNCT
ejpam-6921	302	1	(	(	PUNCT
ejpam-6921	302	2	14	14	NUM
ejpam-6921	302	3	)	)	PUNCT
ejpam-6921	302	4	if	if	SCONJ
ejpam-6921	302	5	,	,	PUNCT
ejpam-6921	302	6	for	for	ADP
ejpam-6921	302	7	some	some	DET
ejpam-6921	302	8	δ	δ	NOUN
ejpam-6921	302	9	∈	∈	PROPN
ejpam-6921	302	10	{	{	PUNCT
ejpam-6921	302	11	1	1	NUM
ejpam-6921	302	12	,	,	PUNCT
ejpam-6921	302	13	2	2	NUM
ejpam-6921	302	14	,	,	PUNCT
ejpam-6921	302	15	.	.	PUNCT
ejpam-6921	302	16	.	.	PUNCT
ejpam-6921	302	17	.	.	PUNCT
ejpam-6921	303	1	,	,	PUNCT
ejpam-6921	303	2	q	q	X
ejpam-6921	303	3	}	}	PUNCT
ejpam-6921	303	4	,	,	PUNCT
ejpam-6921	303	5	we	we	PRON
ejpam-6921	303	6	have	have	VERB
ejpam-6921	303	7	y	y	PROPN
ejpam-6921	303	8	δ	δ	PROPN
ejpam-6921	303	9	<	<	X
ejpam-6921	303	10	xδ	xδ	PROPN
ejpam-6921	303	11	,	,	PUNCT
ejpam-6921	303	12	and	and	CCONJ
ejpam-6921	303	13	,	,	PUNCT
ejpam-6921	303	14	for	for	ADP
ejpam-6921	303	15	i	i	PRON
ejpam-6921	303	16	∈	∈	PROPN
ejpam-6921	303	17	{	{	PUNCT
ejpam-6921	303	18	1	1	NUM
ejpam-6921	303	19	,	,	PUNCT
ejpam-6921	303	20	2	2	NUM
ejpam-6921	303	21	,	,	PUNCT
ejpam-6921	303	22	.	.	PUNCT
ejpam-6921	303	23	.	.	PUNCT
ejpam-6921	304	1	.	.	PUNCT
ejpam-6921	305	1	,	,	PUNCT
ejpam-6921	305	2	q	q	X
ejpam-6921	305	3	}	}	PUNCT
ejpam-6921	305	4	,	,	PUNCT
ejpam-6921	305	5	with	with	ADP
ejpam-6921	305	6	i	i	PROPN
ejpam-6921	305	7	̸=	̸=	PROPN
ejpam-6921	305	8	δ	δ	PROPN
ejpam-6921	305	9	,	,	PUNCT
ejpam-6921	305	10	we	we	PRON
ejpam-6921	305	11	have	have	VERB
ejpam-6921	305	12	y	y	PROPN
ejpam-6921	305	13	i	i	NOUN
ejpam-6921	305	14	≤	≤	PROPN
ejpam-6921	306	1	xi	xi	ADP
ejpam-6921	306	2	,	,	PUNCT
ejpam-6921	306	3	then	then	ADV
ejpam-6921	306	4	since	since	SCONJ
ejpam-6921	306	5	∫	∫	PROPN
ejpam-6921	306	6	k	k	PROPN
ejpam-6921	306	7	υδ(x	υδ(x	PROPN
ejpam-6921	306	8	,	,	PUNCT
ejpam-6921	306	9	λ	λ	PROPN
ejpam-6921	306	10	,	,	PUNCT
ejpam-6921	306	11	λγ	λγ	PROPN
ejpam-6921	306	12	,	,	PUNCT
ejpam-6921	306	13	π	π	PROPN
ejpam-6921	306	14	,	,	PUNCT
ejpam-6921	306	15	v	v	NOUN
ejpam-6921	306	16	,	,	PUNCT
ejpam-6921	306	17	vξ	vξ	NOUN
ejpam-6921	306	18	,	,	PUNCT
ejpam-6921	306	19	ϱ)dw	ϱ)dw	PROPN
ejpam-6921	306	20	>	>	X
ejpam-6921	306	21	0	0	PUNCT
ejpam-6921	307	1	and	and	CCONJ
ejpam-6921	307	2	ω	ω	NUM
ejpam-6921	307	3	>	>	X
ejpam-6921	307	4	0	0	PROPN
ejpam-6921	307	5	,	,	PUNCT
ejpam-6921	307	6	we	we	PRON
ejpam-6921	307	7	are	be	AUX
ejpam-6921	307	8	in	in	ADP
ejpam-6921	307	9	contradiction	contradiction	NOUN
ejpam-6921	307	10	with	with	ADP
ejpam-6921	307	11	(	(	PUNCT
ejpam-6921	307	12	14	14	NUM
ejpam-6921	307	13	)	)	PUNCT
ejpam-6921	307	14	.	.	PUNCT
ejpam-6921	308	1	□	□	PUNCT
ejpam-6921	308	2	4	4	X
ejpam-6921	308	3	.	.	PUNCT
ejpam-6921	308	4	conclusions	conclusion	NOUN
ejpam-6921	308	5	in	in	ADP
ejpam-6921	308	6	this	this	DET
ejpam-6921	308	7	paper	paper	NOUN
ejpam-6921	308	8	,	,	PUNCT
ejpam-6921	308	9	we	we	PRON
ejpam-6921	308	10	have	have	AUX
ejpam-6921	308	11	introduced	introduce	VERB
ejpam-6921	308	12	a	a	DET
ejpam-6921	308	13	pair	pair	NOUN
ejpam-6921	308	14	of	of	ADP
ejpam-6921	308	15	symmetric	symmetric	ADJ
ejpam-6921	308	16	multi	multi	ADJ
ejpam-6921	308	17	-	-	ADJ
ejpam-6921	308	18	dimensional	dimensional	ADJ
ejpam-6921	308	19	variational	variational	ADJ
ejpam-6921	308	20	fractional	fractional	ADJ
ejpam-6921	308	21	control	control	NOUN
ejpam-6921	308	22	problems	problem	NOUN
ejpam-6921	308	23	.	.	PUNCT
ejpam-6921	309	1	by	by	ADP
ejpam-6921	309	2	using	use	VERB
ejpam-6921	309	3	the	the	DET
ejpam-6921	309	4	updated	update	VERB
ejpam-6921	309	5	concept	concept	NOUN
ejpam-6921	309	6	of	of	ADP
ejpam-6921	309	7	pseudoinvexity	pseudoinvexity	NOUN
ejpam-6921	309	8	associated	associate	VERB
ejpam-6921	309	9	with	with	ADP
ejpam-6921	309	10	multiple	multiple	ADJ
ejpam-6921	309	11	integral	integral	ADJ
ejpam-6921	309	12	type	type	NOUN
ejpam-6921	309	13	functionals	functional	NOUN
ejpam-6921	309	14	,	,	PUNCT
ejpam-6921	309	15	we	we	PRON
ejpam-6921	309	16	have	have	AUX
ejpam-6921	309	17	established	establish	VERB
ejpam-6921	309	18	a	a	DET
ejpam-6921	309	19	very	very	ADV
ejpam-6921	309	20	important	important	ADJ
ejpam-6921	309	21	connection	connection	NOUN
ejpam-6921	309	22	between	between	ADP
ejpam-6921	309	23	the	the	DET
ejpam-6921	309	24	objective	objective	ADJ
ejpam-6921	309	25	functionals	functional	NOUN
ejpam-6921	309	26	of	of	ADP
ejpam-6921	309	27	the	the	DET
ejpam-6921	309	28	studied	study	VERB
ejpam-6921	309	29	symmetric	symmetric	ADJ
ejpam-6921	309	30	models	model	NOUN
ejpam-6921	309	31	.	.	PUNCT
ejpam-6921	310	1	this	this	DET
ejpam-6921	310	2	approach	approach	NOUN
ejpam-6921	310	3	(	(	PUNCT
ejpam-6921	310	4	duality	duality	NOUN
ejpam-6921	310	5	technique	technique	NOUN
ejpam-6921	310	6	)	)	PUNCT
ejpam-6921	310	7	is	be	AUX
ejpam-6921	310	8	useful	useful	ADJ
ejpam-6921	310	9	in	in	ADP
ejpam-6921	310	10	solving	solve	VERB
ejpam-6921	310	11	complex	complex	ADJ
ejpam-6921	310	12	optimization	optimization	NOUN
ejpam-6921	310	13	problems	problem	NOUN
ejpam-6921	310	14	that	that	PRON
ejpam-6921	310	15	arise	arise	VERB
ejpam-6921	310	16	in	in	ADP
ejpam-6921	310	17	various	various	ADJ
ejpam-6921	310	18	research	research	NOUN
ejpam-6921	310	19	and	and	CCONJ
ejpam-6921	310	20	practical	practical	ADJ
ejpam-6921	310	21	areas	area	NOUN
ejpam-6921	310	22	.	.	PUNCT
ejpam-6921	311	1	therefore	therefore	ADV
ejpam-6921	311	2	,	,	PUNCT
ejpam-6921	311	3	this	this	DET
ejpam-6921	311	4	paper	paper	NOUN
ejpam-6921	311	5	offered	offer	VERB
ejpam-6921	311	6	a	a	DET
ejpam-6921	311	7	solid	solid	ADJ
ejpam-6921	311	8	and	and	CCONJ
ejpam-6921	311	9	original	original	ADJ
ejpam-6921	311	10	contribution	contribution	NOUN
ejpam-6921	311	11	to	to	ADP
ejpam-6921	311	12	the	the	DET
ejpam-6921	311	13	theory	theory	NOUN
ejpam-6921	311	14	of	of	ADP
ejpam-6921	311	15	variational	variational	ADJ
ejpam-6921	311	16	fractional	fractional	ADJ
ejpam-6921	311	17	control	control	NOUN
ejpam-6921	311	18	problems	problem	NOUN
ejpam-6921	311	19	and	and	CCONJ
ejpam-6921	311	20	duality	duality	NOUN
ejpam-6921	311	21	.	.	PUNCT
ejpam-6921	312	1	references	reference	NOUN
ejpam-6921	312	2	[	[	X
ejpam-6921	312	3	1	1	NUM
ejpam-6921	312	4	]	]	PUNCT
ejpam-6921	312	5	n	n	PRON
ejpam-6921	312	6	abdulaleem	abdulaleem	VERB
ejpam-6921	312	7	and	and	CCONJ
ejpam-6921	312	8	s	s	VERB
ejpam-6921	312	9	treanţă	treanţă	NOUN
ejpam-6921	312	10	.	.	PUNCT
ejpam-6921	313	1	optimality	optimality	NOUN
ejpam-6921	313	2	conditions	condition	NOUN
ejpam-6921	313	3	and	and	CCONJ
ejpam-6921	313	4	duality	duality	NOUN
ejpam-6921	313	5	for	for	ADP
ejpam-6921	313	6	e	e	NOUN
ejpam-6921	313	7	-	-	ADJ
ejpam-6921	313	8	differentiable	differentiable	ADJ
ejpam-6921	313	9	multiobjective	multiobjective	ADJ
ejpam-6921	313	10	programming	programming	NOUN
ejpam-6921	313	11	involving	involve	VERB
ejpam-6921	313	12	v	v	NOUN
ejpam-6921	313	13	-	-	PUNCT
ejpam-6921	313	14	e	e	NOUN
ejpam-6921	313	15	-	-	NOUN
ejpam-6921	313	16	type	type	NOUN
ejpam-6921	313	17	i	i	PRON
ejpam-6921	313	18	functions	function	NOUN
ejpam-6921	313	19	.	.	PUNCT
ejpam-6921	314	1	opsearch	opsearch	NOUN
ejpam-6921	314	2	,	,	PUNCT
ejpam-6921	314	3	60:1824–1843	60:1824–1843	NUM
ejpam-6921	314	4	,	,	PUNCT
ejpam-6921	314	5	2023	2023	NUM
ejpam-6921	314	6	.	.	PUNCT
ejpam-6921	315	1	[	[	X
ejpam-6921	315	2	2	2	X
ejpam-6921	315	3	]	]	X
ejpam-6921	315	4	i	i	PROPN
ejpam-6921	315	5	ahmad	ahmad	PROPN
ejpam-6921	315	6	.	.	PUNCT
ejpam-6921	316	1	symmetric	symmetric	ADJ
ejpam-6921	316	2	duality	duality	NOUN
ejpam-6921	316	3	for	for	ADP
ejpam-6921	316	4	multiobjective	multiobjective	ADJ
ejpam-6921	316	5	fractional	fractional	ADJ
ejpam-6921	316	6	variational	variational	ADJ
ejpam-6921	316	7	problems	problem	NOUN
ejpam-6921	316	8	with	with	ADP
ejpam-6921	316	9	generalized	generalized	ADJ
ejpam-6921	316	10	invexity	invexity	NOUN
ejpam-6921	316	11	.	.	PUNCT
ejpam-6921	317	1	inform	inform	NOUN
ejpam-6921	317	2	.	.	PUNCT
ejpam-6921	318	1	sci	sci	PROPN
ejpam-6921	318	2	.	.	PROPN
ejpam-6921	318	3	,	,	PUNCT
ejpam-6921	318	4	176:2192–2207	176:2192–2207	NUM
ejpam-6921	318	5	,	,	PUNCT
ejpam-6921	318	6	2006	2006	NUM
ejpam-6921	318	7	.	.	PUNCT
ejpam-6921	319	1	t.	t.	PROPN
ejpam-6921	319	2	saeed	saeed	PROPN
ejpam-6921	319	3	,	,	PUNCT
ejpam-6921	319	4	s.	s.	PROPN
ejpam-6921	319	5	treanţă	treanţă	PROPN
ejpam-6921	319	6	/	/	SYM
ejpam-6921	319	7	eur	eur	PROPN
ejpam-6921	319	8	.	.	PUNCT
ejpam-6921	320	1	j.	j.	PROPN
ejpam-6921	320	2	pure	pure	PROPN
ejpam-6921	320	3	appl	appl	PROPN
ejpam-6921	320	4	.	.	PROPN
ejpam-6921	320	5	math	math	PROPN
ejpam-6921	320	6	,	,	PUNCT
ejpam-6921	320	7	18	18	NUM
ejpam-6921	320	8	(	(	PUNCT
ejpam-6921	320	9	4	4	NUM
ejpam-6921	320	10	)	)	PUNCT
ejpam-6921	320	11	(	(	PUNCT
ejpam-6921	320	12	2025	2025	NUM
ejpam-6921	320	13	)	)	PUNCT
ejpam-6921	320	14	,	,	PUNCT
ejpam-6921	320	15	6921	6921	NUM
ejpam-6921	320	16	13	13	NUM
ejpam-6921	320	17	of	of	ADP
ejpam-6921	320	18	14	14	NUM
ejpam-6921	321	1	[	[	X
ejpam-6921	321	2	3	3	NUM
ejpam-6921	321	3	]	]	PUNCT
ejpam-6921	321	4	t	t	PROPN
ejpam-6921	321	5	antczak	antczak	PROPN
ejpam-6921	321	6	m	m	PROPN
ejpam-6921	321	7	arana	arana	PROPN
ejpam-6921	321	8	-	-	PUNCT
ejpam-6921	321	9	jimenéz	jimenéz	PROPN
ejpam-6921	321	10	and	and	CCONJ
ejpam-6921	321	11	s	s	VERB
ejpam-6921	321	12	treanţă	treanţă	NOUN
ejpam-6921	321	13	.	.	PUNCT
ejpam-6921	322	1	on	on	ADP
ejpam-6921	322	2	efficiency	efficiency	NOUN
ejpam-6921	322	3	and	and	CCONJ
ejpam-6921	322	4	duality	duality	NOUN
ejpam-6921	322	5	for	for	ADP
ejpam-6921	322	6	a	a	DET
ejpam-6921	322	7	class	class	NOUN
ejpam-6921	322	8	of	of	ADP
ejpam-6921	322	9	nonconvex	nonconvex	NOUN
ejpam-6921	322	10	nondifferentiable	nondifferentiable	ADJ
ejpam-6921	322	11	multiobjective	multiobjective	ADJ
ejpam-6921	322	12	fractional	fractional	ADJ
ejpam-6921	322	13	variational	variational	ADJ
ejpam-6921	322	14	control	control	NOUN
ejpam-6921	322	15	problems	problem	NOUN
ejpam-6921	322	16	.	.	PUNCT
ejpam-6921	323	1	opuscula	opuscula	PROPN
ejpam-6921	323	2	math	math	PROPN
ejpam-6921	323	3	.	.	PUNCT
ejpam-6921	323	4	,	,	PUNCT
ejpam-6921	323	5	43:335–391	43:335–391	PROPN
ejpam-6921	323	6	,	,	PUNCT
ejpam-6921	323	7	2023	2023	NUM
ejpam-6921	323	8	.	.	PUNCT
ejpam-6921	324	1	[	[	X
ejpam-6921	324	2	4	4	NUM
ejpam-6921	324	3	]	]	X
ejpam-6921	324	4	r	r	NOUN
ejpam-6921	324	5	bagri	bagri	NOUN
ejpam-6921	324	6	s	s	X
ejpam-6921	324	7	treanţă	treanţă	ADJ
ejpam-6921	324	8	d	d	X
ejpam-6921	324	9	agarwal	agarwal	PROPN
ejpam-6921	324	10	and	and	CCONJ
ejpam-6921	324	11	g	g	PROPN
ejpam-6921	324	12	sachdev	sachdev	NOUN
ejpam-6921	324	13	.	.	PUNCT
ejpam-6921	325	1	robust	robust	ADJ
ejpam-6921	325	2	duality	duality	NOUN
ejpam-6921	325	3	in	in	ADP
ejpam-6921	325	4	multi	multi	ADJ
ejpam-6921	325	5	-	-	ADJ
ejpam-6921	325	6	dimensional	dimensional	ADJ
ejpam-6921	325	7	vector	vector	NOUN
ejpam-6921	325	8	fractional	fractional	ADJ
ejpam-6921	325	9	variational	variational	ADJ
ejpam-6921	325	10	control	control	NOUN
ejpam-6921	325	11	problem	problem	NOUN
ejpam-6921	325	12	.	.	PUNCT
ejpam-6921	326	1	opsearch	opsearch	NOUN
ejpam-6921	326	2	,	,	PUNCT
ejpam-6921	326	3	doi	doi	NOUN
ejpam-6921	326	4	:	:	PUNCT
ejpam-6921	326	5	10.1007	10.1007	NUM
ejpam-6921	326	6	/	/	SYM
ejpam-6921	326	7	s12597	s12597	NOUN
ejpam-6921	326	8	-	-	PUNCT
ejpam-6921	326	9	02400756	02400756	NUM
ejpam-6921	326	10	-	-	SYM
ejpam-6921	326	11	2:22	2:22	NUM
ejpam-6921	326	12	pages	page	NOUN
ejpam-6921	326	13	,	,	PUNCT
ejpam-6921	326	14	2024	2024	NUM
ejpam-6921	326	15	.	.	PUNCT
ejpam-6921	327	1	[	[	X
ejpam-6921	327	2	5	5	NUM
ejpam-6921	327	3	]	]	SYM
ejpam-6921	327	4	c	c	NOUN
ejpam-6921	327	5	r	r	NOUN
ejpam-6921	327	6	bector	bector	NOUN
ejpam-6921	327	7	and	and	CCONJ
ejpam-6921	327	8	i	i	PRON
ejpam-6921	327	9	husain	husain	PROPN
ejpam-6921	327	10	.	.	PUNCT
ejpam-6921	328	1	duality	duality	NOUN
ejpam-6921	328	2	for	for	ADP
ejpam-6921	328	3	multiobjective	multiobjective	ADJ
ejpam-6921	328	4	variational	variational	ADJ
ejpam-6921	328	5	problems	problem	NOUN
ejpam-6921	328	6	.	.	PUNCT
ejpam-6921	329	1	j.	j.	PROPN
ejpam-6921	329	2	math	math	PROPN
ejpam-6921	329	3	.	.	PUNCT
ejpam-6921	330	1	anal	anal	PROPN
ejpam-6921	330	2	.	.	PUNCT
ejpam-6921	331	1	appl	appl	PROPN
ejpam-6921	331	2	.	.	PROPN
ejpam-6921	331	3	,	,	PUNCT
ejpam-6921	331	4	166:214–229	166:214–229	NUM
ejpam-6921	331	5	,	,	PUNCT
ejpam-6921	331	6	1992	1992	NUM
ejpam-6921	331	7	.	.	PUNCT
ejpam-6921	332	1	[	[	X
ejpam-6921	332	2	6	6	NUM
ejpam-6921	332	3	]	]	PUNCT
ejpam-6921	332	4	s	s	PART
ejpam-6921	332	5	chandra	chandra	PROPN
ejpam-6921	332	6	b	b	PROPN
ejpam-6921	332	7	d	d	PROPN
ejpam-6921	332	8	craven	craven	NOUN
ejpam-6921	332	9	and	and	CCONJ
ejpam-6921	332	10	b	b	NOUN
ejpam-6921	332	11	mond	mond	NOUN
ejpam-6921	332	12	.	.	PUNCT
ejpam-6921	333	1	symmetric	symmetric	ADJ
ejpam-6921	333	2	dual	dual	ADJ
ejpam-6921	333	3	fractional	fractional	ADJ
ejpam-6921	333	4	programming	programming	NOUN
ejpam-6921	333	5	.	.	PUNCT
ejpam-6921	334	1	z.	z.	PROPN
ejpam-6921	334	2	oper	oper	PROPN
ejpam-6921	334	3	.	.	PUNCT
ejpam-6921	335	1	res	res	PROPN
ejpam-6921	335	2	.	.	PROPN
ejpam-6921	335	3	,	,	PUNCT
ejpam-6921	335	4	29:59–64	29:59–64	PROPN
ejpam-6921	335	5	,	,	PUNCT
ejpam-6921	335	6	1985	1985	NUM
ejpam-6921	335	7	.	.	PUNCT
ejpam-6921	336	1	[	[	X
ejpam-6921	336	2	7	7	X
ejpam-6921	336	3	]	]	X
ejpam-6921	336	4	x	x	X
ejpam-6921	336	5	chen	chen	PROPN
ejpam-6921	336	6	.	.	PUNCT
ejpam-6921	337	1	symmetric	symmetric	ADJ
ejpam-6921	337	2	duality	duality	NOUN
ejpam-6921	337	3	for	for	ADP
ejpam-6921	337	4	the	the	DET
ejpam-6921	337	5	multiobjective	multiobjective	ADJ
ejpam-6921	337	6	fractional	fractional	ADJ
ejpam-6921	337	7	variational	variational	ADJ
ejpam-6921	337	8	problem	problem	NOUN
ejpam-6921	337	9	with	with	ADP
ejpam-6921	337	10	partial	partial	ADJ
ejpam-6921	337	11	invexity	invexity	NOUN
ejpam-6921	337	12	.	.	PUNCT
ejpam-6921	338	1	j.	j.	PROPN
ejpam-6921	338	2	math	math	PROPN
ejpam-6921	338	3	.	.	PUNCT
ejpam-6921	339	1	anal	anal	PROPN
ejpam-6921	339	2	.	.	PUNCT
ejpam-6921	339	3	appl	appl	PROPN
ejpam-6921	339	4	.	.	PROPN
ejpam-6921	339	5	,	,	PUNCT
ejpam-6921	339	6	245:105–123	245:105–123	NUM
ejpam-6921	339	7	,	,	PUNCT
ejpam-6921	339	8	2000	2000	NUM
ejpam-6921	339	9	.	.	PUNCT
ejpam-6921	340	1	[	[	X
ejpam-6921	340	2	8	8	NUM
ejpam-6921	340	3	]	]	X
ejpam-6921	340	4	x	x	X
ejpam-6921	340	5	chen	chen	PROPN
ejpam-6921	340	6	.	.	PUNCT
ejpam-6921	341	1	minimax	minimax	NOUN
ejpam-6921	341	2	and	and	CCONJ
ejpam-6921	341	3	symmetric	symmetric	ADJ
ejpam-6921	341	4	duality	duality	NOUN
ejpam-6921	341	5	for	for	ADP
ejpam-6921	341	6	a	a	DET
ejpam-6921	341	7	class	class	NOUN
ejpam-6921	341	8	of	of	ADP
ejpam-6921	341	9	multiobjective	multiobjective	ADJ
ejpam-6921	341	10	variational	variational	ADJ
ejpam-6921	341	11	mixed	mixed	ADJ
ejpam-6921	341	12	integer	integer	NOUN
ejpam-6921	341	13	programming	programming	NOUN
ejpam-6921	341	14	problems	problem	NOUN
ejpam-6921	341	15	.	.	PUNCT
ejpam-6921	342	1	eur	eur	PROPN
ejpam-6921	342	2	.	.	PUNCT
ejpam-6921	343	1	j.	j.	PROPN
ejpam-6921	343	2	oper	oper	PROPN
ejpam-6921	343	3	.	.	PUNCT
ejpam-6921	344	1	res	res	PROPN
ejpam-6921	344	2	.	.	PROPN
ejpam-6921	344	3	,	,	PUNCT
ejpam-6921	344	4	154:71–83	154:71–83	NUM
ejpam-6921	344	5	,	,	PUNCT
ejpam-6921	344	6	2004	2004	NUM
ejpam-6921	344	7	.	.	PUNCT
ejpam-6921	345	1	[	[	X
ejpam-6921	345	2	9	9	NUM
ejpam-6921	345	3	]	]	SYM
ejpam-6921	345	4	b	b	NOUN
ejpam-6921	345	5	d	d	NOUN
ejpam-6921	345	6	craven	craven	NOUN
ejpam-6921	345	7	.	.	PUNCT
ejpam-6921	346	1	langragean	langragean	ADJ
ejpam-6921	346	2	conditions	condition	NOUN
ejpam-6921	346	3	and	and	CCONJ
ejpam-6921	346	4	quasiduality	quasiduality	NOUN
ejpam-6921	346	5	.	.	PUNCT
ejpam-6921	347	1	bull	bull	NOUN
ejpam-6921	347	2	.	.	PUNCT
ejpam-6921	348	1	austral	austral	PROPN
ejpam-6921	348	2	.	.	PUNCT
ejpam-6921	348	3	math	math	NOUN
ejpam-6921	348	4	.	.	PUNCT
ejpam-6921	349	1	soc	soc	PROPN
ejpam-6921	349	2	.	.	PUNCT
ejpam-6921	349	3	,	,	PUNCT
ejpam-6921	349	4	16:325–339	16:325–339	PROPN
ejpam-6921	349	5	,	,	PUNCT
ejpam-6921	349	6	1977	1977	NUM
ejpam-6921	349	7	.	.	PUNCT
ejpam-6921	350	1	[	[	X
ejpam-6921	350	2	10	10	NUM
ejpam-6921	350	3	]	]	X
ejpam-6921	350	4	g	g	PROPN
ejpam-6921	350	5	b	b	PROPN
ejpam-6921	350	6	dantzig	dantzig	PROPN
ejpam-6921	350	7	e	e	PROPN
ejpam-6921	350	8	eisenberg	eisenberg	PROPN
ejpam-6921	350	9	and	and	CCONJ
ejpam-6921	350	10	r	r	PROPN
ejpam-6921	350	11	w	w	PROPN
ejpam-6921	350	12	cottle	cottle	PROPN
ejpam-6921	350	13	.	.	PUNCT
ejpam-6921	351	1	symmetric	symmetric	PROPN
ejpam-6921	351	2	dual	dual	ADJ
ejpam-6921	351	3	nonlinear	nonlinear	ADJ
ejpam-6921	351	4	programs	program	NOUN
ejpam-6921	351	5	.	.	PUNCT
ejpam-6921	352	1	pac	pac	PROPN
ejpam-6921	352	2	.	.	PUNCT
ejpam-6921	353	1	j.	j.	PROPN
ejpam-6921	353	2	math	math	PROPN
ejpam-6921	353	3	.	.	PUNCT
ejpam-6921	353	4	,	,	PUNCT
ejpam-6921	353	5	15:809–812	15:809–812	NUM
ejpam-6921	353	6	,	,	PUNCT
ejpam-6921	353	7	1965	1965	NUM
ejpam-6921	353	8	.	.	PUNCT
ejpam-6921	354	1	[	[	X
ejpam-6921	354	2	11	11	NUM
ejpam-6921	354	3	]	]	X
ejpam-6921	354	4	k	k	PROPN
ejpam-6921	354	5	das	das	PROPN
ejpam-6921	354	6	s	s	PART
ejpam-6921	354	7	treanţă	treanţă	NOUN
ejpam-6921	354	8	and	and	CCONJ
ejpam-6921	354	9	t	t	PROPN
ejpam-6921	354	10	saeed	saeed	PROPN
ejpam-6921	354	11	.	.	PUNCT
ejpam-6921	355	1	mond	mond	PROPN
ejpam-6921	355	2	-	-	PUNCT
ejpam-6921	355	3	weir	weir	PROPN
ejpam-6921	355	4	and	and	CCONJ
ejpam-6921	355	5	wolfe	wolfe	PROPN
ejpam-6921	355	6	duality	duality	NOUN
ejpam-6921	355	7	of	of	ADP
ejpam-6921	355	8	set	set	NOUN
ejpam-6921	355	9	-	-	PUNCT
ejpam-6921	355	10	valued	value	VERB
ejpam-6921	355	11	fractional	fractional	ADJ
ejpam-6921	355	12	minimax	minimax	NOUN
ejpam-6921	355	13	problems	problem	NOUN
ejpam-6921	355	14	in	in	ADP
ejpam-6921	355	15	terms	term	NOUN
ejpam-6921	355	16	of	of	ADP
ejpam-6921	355	17	contingent	contingent	ADJ
ejpam-6921	355	18	epi	epi	NOUN
ejpam-6921	355	19	-	-	NOUN
ejpam-6921	355	20	derivative	derivative	NOUN
ejpam-6921	355	21	of	of	ADP
ejpam-6921	355	22	second	second	ADJ
ejpam-6921	355	23	-	-	PUNCT
ejpam-6921	355	24	order	order	NOUN
ejpam-6921	355	25	.	.	PUNCT
ejpam-6921	356	1	mathematics	mathematic	NOUN
ejpam-6921	356	2	,	,	PUNCT
ejpam-6921	356	3	10:938	10:938	NUM
ejpam-6921	356	4	,	,	PUNCT
ejpam-6921	356	5	2022	2022	NUM
ejpam-6921	356	6	.	.	PUNCT
ejpam-6921	357	1	[	[	X
ejpam-6921	357	2	12	12	NUM
ejpam-6921	357	3	]	]	X
ejpam-6921	357	4	w	w	PROPN
ejpam-6921	357	5	s	s	X
ejpam-6921	357	6	dorn	dorn	PROPN
ejpam-6921	357	7	.	.	PUNCT
ejpam-6921	358	1	a	a	DET
ejpam-6921	358	2	symmetric	symmetric	ADJ
ejpam-6921	358	3	dual	dual	ADJ
ejpam-6921	358	4	theorem	theorem	NOUN
ejpam-6921	358	5	for	for	ADP
ejpam-6921	358	6	quadratic	quadratic	ADJ
ejpam-6921	358	7	programs	program	NOUN
ejpam-6921	358	8	.	.	PUNCT
ejpam-6921	359	1	j.	j.	PROPN
ejpam-6921	359	2	oper	oper	PROPN
ejpam-6921	359	3	.	.	PUNCT
ejpam-6921	360	1	res	res	PROPN
ejpam-6921	360	2	.	.	PUNCT
ejpam-6921	360	3	soc	soc	PROPN
ejpam-6921	360	4	.	.	PUNCT
ejpam-6921	361	1	japan	japan	PROPN
ejpam-6921	361	2	,	,	PUNCT
ejpam-6921	361	3	2:93–97	2:93–97	NUM
ejpam-6921	361	4	,	,	PUNCT
ejpam-6921	361	5	1960	1960	NUM
ejpam-6921	361	6	.	.	PUNCT
ejpam-6921	362	1	[	[	X
ejpam-6921	362	2	13	13	NUM
ejpam-6921	362	3	]	]	PUNCT
ejpam-6921	362	4	t	t	NOUN
ejpam-6921	362	5	r	r	NOUN
ejpam-6921	362	6	gulati	gulati	PROPN
ejpam-6921	362	7	i	i	PRON
ejpam-6921	362	8	ahmad	ahmad	PROPN
ejpam-6921	362	9	and	and	CCONJ
ejpam-6921	362	10	i	i	PRON
ejpam-6921	362	11	husain	husain	PROPN
ejpam-6921	362	12	.	.	PUNCT
ejpam-6921	363	1	symmetric	symmetric	ADJ
ejpam-6921	363	2	duality	duality	NOUN
ejpam-6921	363	3	for	for	ADP
ejpam-6921	363	4	minimax	minimax	NOUN
ejpam-6921	363	5	variational	variational	ADJ
ejpam-6921	363	6	problems	problem	NOUN
ejpam-6921	363	7	.	.	PUNCT
ejpam-6921	364	1	math	math	NOUN
ejpam-6921	364	2	.	.	PUNCT
ejpam-6921	365	1	meth	meth	NOUN
ejpam-6921	365	2	.	.	PUNCT
ejpam-6921	366	1	oper	oper	PROPN
ejpam-6921	366	2	.	.	PUNCT
ejpam-6921	366	3	res	res	PROPN
ejpam-6921	366	4	.	.	PROPN
ejpam-6921	366	5	,	,	PUNCT
ejpam-6921	366	6	48:81–95	48:81–95	NUM
ejpam-6921	366	7	,	,	PUNCT
ejpam-6921	366	8	1998	1998	NUM
ejpam-6921	366	9	.	.	PUNCT
ejpam-6921	367	1	[	[	X
ejpam-6921	367	2	14	14	NUM
ejpam-6921	367	3	]	]	X
ejpam-6921	367	4	y	y	PROPN
ejpam-6921	367	5	guo	guo	PROPN
ejpam-6921	367	6	g	g	PROPN
ejpam-6921	367	7	ye	ye	PROPN
ejpam-6921	367	8	w	w	PROPN
ejpam-6921	367	9	liu	liu	PROPN
ejpam-6921	367	10	d	d	PROPN
ejpam-6921	367	11	zhao	zhao	PROPN
ejpam-6921	367	12	and	and	CCONJ
ejpam-6921	367	13	s	s	VERB
ejpam-6921	367	14	treanţă	treanţă	NOUN
ejpam-6921	367	15	.	.	PUNCT
ejpam-6921	368	1	on	on	ADP
ejpam-6921	368	2	symmetric	symmetric	PROPN
ejpam-6921	368	3	gh	gh	PROPN
ejpam-6921	368	4	-	-	PUNCT
ejpam-6921	368	5	derivative	derivative	ADJ
ejpam-6921	368	6	applications	application	NOUN
ejpam-6921	368	7	to	to	ADP
ejpam-6921	368	8	dual	dual	ADJ
ejpam-6921	368	9	interval	interval	NOUN
ejpam-6921	368	10	-	-	PUNCT
ejpam-6921	368	11	valued	value	VERB
ejpam-6921	368	12	optimization	optimization	NOUN
ejpam-6921	368	13	problems	problem	NOUN
ejpam-6921	368	14	.	.	PUNCT
ejpam-6921	369	1	chaos	chaos	NOUN
ejpam-6921	369	2	solitons	soliton	NOUN
ejpam-6921	369	3	fractals	fractal	NOUN
ejpam-6921	369	4	,	,	PUNCT
ejpam-6921	369	5	158:112068	158:112068	NUM
ejpam-6921	369	6	,	,	PUNCT
ejpam-6921	369	7	2022	2022	NUM
ejpam-6921	369	8	.	.	PUNCT
ejpam-6921	370	1	[	[	X
ejpam-6921	370	2	15	15	NUM
ejpam-6921	370	3	]	]	X
ejpam-6921	370	4	y	y	PROPN
ejpam-6921	370	5	guo	guo	PROPN
ejpam-6921	370	6	g	g	PROPN
ejpam-6921	370	7	ye	ye	PROPN
ejpam-6921	370	8	w	w	PROPN
ejpam-6921	370	9	liu	liu	PROPN
ejpam-6921	370	10	d	d	PROPN
ejpam-6921	370	11	zhao	zhao	PROPN
ejpam-6921	370	12	and	and	CCONJ
ejpam-6921	370	13	s	s	VERB
ejpam-6921	370	14	treanţă	treanţă	NOUN
ejpam-6921	370	15	.	.	PUNCT
ejpam-6921	371	1	optimality	optimality	NOUN
ejpam-6921	371	2	conditions	condition	NOUN
ejpam-6921	371	3	and	and	CCONJ
ejpam-6921	371	4	duality	duality	NOUN
ejpam-6921	371	5	for	for	ADP
ejpam-6921	371	6	a	a	DET
ejpam-6921	371	7	class	class	NOUN
ejpam-6921	371	8	of	of	ADP
ejpam-6921	371	9	generalized	generalized	ADJ
ejpam-6921	371	10	convex	convex	NOUN
ejpam-6921	371	11	interval	interval	NOUN
ejpam-6921	371	12	-	-	PUNCT
ejpam-6921	371	13	valued	value	VERB
ejpam-6921	371	14	optimization	optimization	NOUN
ejpam-6921	371	15	problems	problem	NOUN
ejpam-6921	371	16	.	.	PUNCT
ejpam-6921	372	1	mathematics	mathematic	NOUN
ejpam-6921	372	2	,	,	PUNCT
ejpam-6921	372	3	9:2979	9:2979	NUM
ejpam-6921	372	4	,	,	PUNCT
ejpam-6921	372	5	2021	2021	NUM
ejpam-6921	372	6	.	.	PUNCT
ejpam-6921	373	1	[	[	X
ejpam-6921	373	2	16	16	NUM
ejpam-6921	373	3	]	]	PUNCT
ejpam-6921	373	4	a	a	DET
ejpam-6921	373	5	jayswal	jayswal	NOUN
ejpam-6921	373	6	preeti	preeti	PROPN
ejpam-6921	373	7	and	and	CCONJ
ejpam-6921	373	8	s	s	VERB
ejpam-6921	373	9	treanţă	treanţă	NOUN
ejpam-6921	373	10	.	.	PUNCT
ejpam-6921	374	1	multi	multi	ADJ
ejpam-6921	374	2	-	-	ADJ
ejpam-6921	374	3	dimensional	dimensional	ADJ
ejpam-6921	374	4	control	control	NOUN
ejpam-6921	374	5	problems	problem	NOUN
ejpam-6921	374	6	robust	robust	ADJ
ejpam-6921	374	7	approach	approach	NOUN
ejpam-6921	374	8	.	.	PUNCT
ejpam-6921	375	1	springer	springer	NOUN
ejpam-6921	375	2	nature	nature	PROPN
ejpam-6921	375	3	singapore	singapore	PROPN
ejpam-6921	375	4	pte	pte	PROPN
ejpam-6921	375	5	ltd	ltd	PROPN
ejpam-6921	375	6	.	.	PROPN
ejpam-6921	375	7	,	,	PUNCT
ejpam-6921	375	8	singapore	singapore	PROPN
ejpam-6921	375	9	,	,	PUNCT
ejpam-6921	375	10	2022	2022	NUM
ejpam-6921	375	11	.	.	PUNCT
ejpam-6921	376	1	[	[	X
ejpam-6921	376	2	17	17	NUM
ejpam-6921	376	3	]	]	X
ejpam-6921	376	4	d	d	X
ejpam-6921	376	5	s	s	PROPN
ejpam-6921	376	6	kim	kim	PROPN
ejpam-6921	376	7	and	and	CCONJ
ejpam-6921	376	8	w	w	PROPN
ejpam-6921	376	9	j	j	PROPN
ejpam-6921	376	10	lee	lee	PROPN
ejpam-6921	376	11	.	.	PROPN
ejpam-6921	377	1	symmetric	symmetric	ADJ
ejpam-6921	377	2	duality	duality	NOUN
ejpam-6921	377	3	for	for	ADP
ejpam-6921	377	4	multiobjective	multiobjective	ADJ
ejpam-6921	377	5	variational	variational	ADJ
ejpam-6921	377	6	problems	problem	NOUN
ejpam-6921	377	7	with	with	ADP
ejpam-6921	377	8	invexity	invexity	NOUN
ejpam-6921	377	9	.	.	PUNCT
ejpam-6921	378	1	j.	j.	PROPN
ejpam-6921	378	2	math	math	PROPN
ejpam-6921	378	3	.	.	PUNCT
ejpam-6921	379	1	anal	anal	PROPN
ejpam-6921	379	2	.	.	PUNCT
ejpam-6921	380	1	appl	appl	PROPN
ejpam-6921	380	2	.	.	PROPN
ejpam-6921	380	3	,	,	PUNCT
ejpam-6921	381	1	218:34–48	218:34–48	NUM
ejpam-6921	381	2	,	,	PUNCT
ejpam-6921	381	3	1998	1998	NUM
ejpam-6921	381	4	.	.	PUNCT
ejpam-6921	382	1	[	[	X
ejpam-6921	382	2	18	18	NUM
ejpam-6921	382	3	]	]	SYM
ejpam-6921	382	4	b	b	X
ejpam-6921	382	5	mond	mond	NOUN
ejpam-6921	382	6	and	and	CCONJ
ejpam-6921	382	7	m	m	PROPN
ejpam-6921	382	8	a	a	DET
ejpam-6921	382	9	hanson	hanson	PROPN
ejpam-6921	382	10	.	.	PUNCT
ejpam-6921	383	1	symmetric	symmetric	ADJ
ejpam-6921	383	2	duality	duality	NOUN
ejpam-6921	383	3	for	for	ADP
ejpam-6921	383	4	variational	variational	ADJ
ejpam-6921	383	5	problems	problem	NOUN
ejpam-6921	383	6	.	.	PUNCT
ejpam-6921	384	1	j.	j.	PROPN
ejpam-6921	384	2	math	math	PROPN
ejpam-6921	384	3	.	.	PUNCT
ejpam-6921	385	1	anal	anal	PROPN
ejpam-6921	385	2	.	.	PUNCT
ejpam-6921	386	1	appl	appl	PROPN
ejpam-6921	386	2	.	.	PROPN
ejpam-6921	386	3	,	,	PUNCT
ejpam-6921	386	4	23:161–172	23:161–172	PROPN
ejpam-6921	386	5	,	,	PUNCT
ejpam-6921	386	6	1968	1968	NUM
ejpam-6921	386	7	.	.	PUNCT
ejpam-6921	387	1	[	[	X
ejpam-6921	387	2	19	19	NUM
ejpam-6921	387	3	]	]	PUNCT
ejpam-6921	387	4	a	a	DET
ejpam-6921	387	5	k	k	PROPN
ejpam-6921	387	6	prasad	prasad	PROPN
ejpam-6921	387	7	j	j	PROPN
ejpam-6921	387	8	khatri	khatri	PROPN
ejpam-6921	387	9	and	and	CCONJ
ejpam-6921	387	10	i	i	PROPN
ejpam-6921	387	11	ahmad	ahmad	PROPN
ejpam-6921	387	12	.	.	PUNCT
ejpam-6921	388	1	optimality	optimality	NOUN
ejpam-6921	388	2	conditions	condition	NOUN
ejpam-6921	388	3	for	for	ADP
ejpam-6921	388	4	an	an	DET
ejpam-6921	388	5	interval	interval	NOUN
ejpam-6921	388	6	-	-	PUNCT
ejpam-6921	388	7	valued	value	VERB
ejpam-6921	388	8	vector	vector	NOUN
ejpam-6921	388	9	problem	problem	NOUN
ejpam-6921	388	10	.	.	PUNCT
ejpam-6921	389	1	kybernetika	kybernetika	NOUN
ejpam-6921	389	2	,	,	PUNCT
ejpam-6921	389	3	61:221–237	61:221–237	PROPN
ejpam-6921	389	4	,	,	PUNCT
ejpam-6921	389	5	2025	2025	NUM
ejpam-6921	389	6	.	.	PUNCT
ejpam-6921	390	1	[	[	X
ejpam-6921	390	2	20	20	NUM
ejpam-6921	390	3	]	]	PUNCT
ejpam-6921	390	4	t	t	PROPN
ejpam-6921	390	5	saeed	saeed	PROPN
ejpam-6921	390	6	and	and	CCONJ
ejpam-6921	390	7	s	s	VERB
ejpam-6921	390	8	treanţă	treanţă	NOUN
ejpam-6921	390	9	.	.	PUNCT
ejpam-6921	391	1	various	various	ADJ
ejpam-6921	391	2	duality	duality	NOUN
ejpam-6921	391	3	models	model	NOUN
ejpam-6921	391	4	associated	associate	VERB
ejpam-6921	391	5	with	with	ADP
ejpam-6921	391	6	some	some	DET
ejpam-6921	391	7	constrained	constrain	VERB
ejpam-6921	391	8	robust	robust	ADJ
ejpam-6921	391	9	nonlinear	nonlinear	ADJ
ejpam-6921	391	10	optimal	optimal	ADJ
ejpam-6921	391	11	control	control	NOUN
ejpam-6921	391	12	problems	problem	NOUN
ejpam-6921	391	13	.	.	PUNCT
ejpam-6921	392	1	int	int	NOUN
ejpam-6921	392	2	.	.	PUNCT
ejpam-6921	393	1	j.	j.	PROPN
ejpam-6921	393	2	control	control	PROPN
ejpam-6921	393	3	,	,	PUNCT
ejpam-6921	393	4	98:544–554	98:544–554	PROPN
ejpam-6921	393	5	,	,	PUNCT
ejpam-6921	393	6	2025	2025	NUM
ejpam-6921	393	7	.	.	PUNCT
ejpam-6921	394	1	[	[	X
ejpam-6921	394	2	21	21	NUM
ejpam-6921	394	3	]	]	X
ejpam-6921	394	4	s	s	VERB
ejpam-6921	394	5	schaible	schaible	NOUN
ejpam-6921	394	6	.	.	PUNCT
ejpam-6921	395	1	duality	duality	NOUN
ejpam-6921	395	2	in	in	ADP
ejpam-6921	395	3	fractional	fractional	ADJ
ejpam-6921	395	4	programming	programming	NOUN
ejpam-6921	395	5	a	a	DET
ejpam-6921	395	6	unified	unified	ADJ
ejpam-6921	395	7	approach	approach	NOUN
ejpam-6921	395	8	.	.	PUNCT
ejpam-6921	396	1	oper	oper	PROPN
ejpam-6921	396	2	.	.	PUNCT
ejpam-6921	396	3	res	res	PROPN
ejpam-6921	396	4	.	.	PROPN
ejpam-6921	396	5	,	,	PUNCT
ejpam-6921	396	6	24:452–461	24:452–461	NUM
ejpam-6921	396	7	,	,	PUNCT
ejpam-6921	396	8	1976	1976	NUM
ejpam-6921	396	9	.	.	PUNCT
ejpam-6921	397	1	t.	t.	PROPN
ejpam-6921	397	2	saeed	saeed	PROPN
ejpam-6921	397	3	,	,	PUNCT
ejpam-6921	397	4	s.	s.	PROPN
ejpam-6921	397	5	treanţă	treanţă	PROPN
ejpam-6921	397	6	/	/	SYM
ejpam-6921	397	7	eur	eur	PROPN
ejpam-6921	397	8	.	.	PUNCT
ejpam-6921	398	1	j.	j.	PROPN
ejpam-6921	398	2	pure	pure	PROPN
ejpam-6921	398	3	appl	appl	PROPN
ejpam-6921	398	4	.	.	PROPN
ejpam-6921	398	5	math	math	PROPN
ejpam-6921	398	6	,	,	PUNCT
ejpam-6921	398	7	18	18	NUM
ejpam-6921	398	8	(	(	PUNCT
ejpam-6921	398	9	4	4	NUM
ejpam-6921	398	10	)	)	PUNCT
ejpam-6921	398	11	(	(	PUNCT
ejpam-6921	398	12	2025	2025	NUM
ejpam-6921	398	13	)	)	PUNCT
ejpam-6921	398	14	,	,	PUNCT
ejpam-6921	398	15	6921	6921	NUM
ejpam-6921	398	16	14	14	NUM
ejpam-6921	398	17	of	of	ADP
ejpam-6921	398	18	14	14	NUM
ejpam-6921	399	1	[	[	X
ejpam-6921	399	2	22	22	NUM
ejpam-6921	399	3	]	]	X
ejpam-6921	399	4	s	s	VERB
ejpam-6921	399	5	schaible	schaible	ADJ
ejpam-6921	399	6	.	.	PUNCT
ejpam-6921	400	1	fractional	fractional	ADJ
ejpam-6921	400	2	programming	programming	NOUN
ejpam-6921	400	3	i	i	PRON
ejpam-6921	400	4	duality	duality	NOUN
ejpam-6921	400	5	.	.	PUNCT
ejpam-6921	401	1	manag	manag	PROPN
ejpam-6921	401	2	.	.	PUNCT
ejpam-6921	402	1	sci	sci	PROPN
ejpam-6921	402	2	.	.	PROPN
ejpam-6921	402	3	,	,	PUNCT
ejpam-6921	402	4	22:858–867	22:858–867	NUM
ejpam-6921	402	5	,	,	PUNCT
ejpam-6921	402	6	1976	1976	NUM
ejpam-6921	402	7	.	.	PUNCT
ejpam-6921	403	1	[	[	X
ejpam-6921	403	2	23	23	NUM
ejpam-6921	403	3	]	]	X
ejpam-6921	403	4	s	s	VERB
ejpam-6921	403	5	schaible	schaible	ADJ
ejpam-6921	403	6	.	.	PUNCT
ejpam-6921	404	1	fractional	fractional	ADJ
ejpam-6921	404	2	programming	programming	NOUN
ejpam-6921	404	3	.	.	PUNCT
ejpam-6921	405	1	kluwer	kluwer	PROPN
ejpam-6921	405	2	academic	academic	PROPN
ejpam-6921	405	3	,	,	PUNCT
ejpam-6921	405	4	dordrecht	dordrecht	PROPN
ejpam-6921	405	5	,	,	PUNCT
ejpam-6921	405	6	1995	1995	NUM
ejpam-6921	405	7	.	.	PUNCT
ejpam-6921	406	1	[	[	X
ejpam-6921	406	2	24	24	NUM
ejpam-6921	406	3	]	]	X
ejpam-6921	406	4	f	f	PROPN
ejpam-6921	406	5	shi	shi	PROPN
ejpam-6921	406	6	g	g	PROPN
ejpam-6921	406	7	ye	ye	PROPN
ejpam-6921	406	8	w	w	PROPN
ejpam-6921	406	9	liu	liu	PROPN
ejpam-6921	406	10	d	d	PROPN
ejpam-6921	406	11	zhao	zhao	PROPN
ejpam-6921	406	12	and	and	CCONJ
ejpam-6921	406	13	s	s	VERB
ejpam-6921	406	14	treanţă	treanţă	NOUN
ejpam-6921	406	15	.	.	PUNCT
ejpam-6921	407	1	lagrangian	lagrangian	ADJ
ejpam-6921	407	2	dual	dual	ADJ
ejpam-6921	407	3	theory	theory	NOUN
ejpam-6921	407	4	and	and	CCONJ
ejpam-6921	407	5	stability	stability	NOUN
ejpam-6921	407	6	analysis	analysis	NOUN
ejpam-6921	407	7	for	for	ADP
ejpam-6921	407	8	fuzzy	fuzzy	ADJ
ejpam-6921	407	9	optimization	optimization	NOUN
ejpam-6921	407	10	problems	problem	NOUN
ejpam-6921	407	11	.	.	PUNCT
ejpam-6921	408	1	inform	inform	NOUN
ejpam-6921	408	2	.	.	PUNCT
ejpam-6921	409	1	sci	sci	PROPN
ejpam-6921	409	2	.	.	PROPN
ejpam-6921	409	3	,	,	PUNCT
ejpam-6921	409	4	657:119953	657:119953	NUM
ejpam-6921	409	5	,	,	PUNCT
ejpam-6921	409	6	2024	2024	NUM
ejpam-6921	409	7	.	.	PUNCT
ejpam-6921	410	1	[	[	X
ejpam-6921	410	2	25	25	NUM
ejpam-6921	410	3	]	]	X
ejpam-6921	410	4	i	i	PRON
ejpam-6921	410	5	smart	smart	ADJ
ejpam-6921	410	6	and	and	CCONJ
ejpam-6921	410	7	b	b	NOUN
ejpam-6921	410	8	mond	mond	NOUN
ejpam-6921	410	9	.	.	PUNCT
ejpam-6921	411	1	symmetric	symmetric	ADJ
ejpam-6921	411	2	duality	duality	NOUN
ejpam-6921	411	3	with	with	ADP
ejpam-6921	411	4	invexity	invexity	NOUN
ejpam-6921	411	5	in	in	ADP
ejpam-6921	411	6	variational	variational	ADJ
ejpam-6921	411	7	problems	problem	NOUN
ejpam-6921	411	8	.	.	PUNCT
ejpam-6921	412	1	j.	j.	PROPN
ejpam-6921	412	2	math	math	PROPN
ejpam-6921	412	3	.	.	PUNCT
ejpam-6921	413	1	anal	anal	PROPN
ejpam-6921	413	2	.	.	PUNCT
ejpam-6921	414	1	appl	appl	PROPN
ejpam-6921	414	2	.	.	PROPN
ejpam-6921	414	3	,	,	PUNCT
ejpam-6921	414	4	152:536–545	152:536–545	NUM
ejpam-6921	414	5	,	,	PUNCT
ejpam-6921	414	6	1990	1990	NUM
ejpam-6921	414	7	.	.	PUNCT
ejpam-6921	415	1	[	[	X
ejpam-6921	415	2	26	26	NUM
ejpam-6921	415	3	]	]	X
ejpam-6921	415	4	x	x	SYM
ejpam-6921	415	5	sun	sun	PROPN
ejpam-6921	415	6	k	k	PROPN
ejpam-6921	415	7	l	l	PROPN
ejpam-6921	415	8	teo	teo	NOUN
ejpam-6921	415	9	and	and	CCONJ
ejpam-6921	415	10	l	l	NOUN
ejpam-6921	415	11	tang	tang	PROPN
ejpam-6921	415	12	.	.	PUNCT
ejpam-6921	416	1	dual	dual	ADJ
ejpam-6921	416	2	approaches	approach	NOUN
ejpam-6921	416	3	to	to	PART
ejpam-6921	416	4	characterize	characterize	VERB
ejpam-6921	416	5	robust	robust	ADJ
ejpam-6921	416	6	optimal	optimal	ADJ
ejpam-6921	416	7	solution	solution	NOUN
ejpam-6921	416	8	sets	set	NOUN
ejpam-6921	416	9	for	for	ADP
ejpam-6921	416	10	a	a	DET
ejpam-6921	416	11	class	class	NOUN
ejpam-6921	416	12	of	of	ADP
ejpam-6921	416	13	uncertain	uncertain	ADJ
ejpam-6921	416	14	optimization	optimization	NOUN
ejpam-6921	416	15	problems	problem	NOUN
ejpam-6921	416	16	.	.	PUNCT
ejpam-6921	417	1	j.	j.	PROPN
ejpam-6921	417	2	optim	optim	PROPN
ejpam-6921	417	3	.	.	PUNCT
ejpam-6921	418	1	theory	theory	NOUN
ejpam-6921	418	2	appl	appl	PROPN
ejpam-6921	418	3	.	.	PROPN
ejpam-6921	418	4	,	,	PUNCT
ejpam-6921	418	5	182:984	182:984	PROPN
ejpam-6921	418	6	–	–	PUNCT
ejpam-6921	418	7	1000	1000	NUM
ejpam-6921	418	8	,	,	PUNCT
ejpam-6921	418	9	2019	2019	NUM
ejpam-6921	418	10	.	.	PUNCT
ejpam-6921	419	1	[	[	X
ejpam-6921	419	2	27	27	NUM
ejpam-6921	419	3	]	]	X
ejpam-6921	419	4	s	s	VERB
ejpam-6921	419	5	treanţă	treanţă	NOUN
ejpam-6921	419	6	and	and	CCONJ
ejpam-6921	419	7	şt	şt	PRON
ejpam-6921	419	8	mititelu	mititelu	NOUN
ejpam-6921	419	9	.	.	PUNCT
ejpam-6921	420	1	duality	duality	NOUN
ejpam-6921	420	2	with	with	ADP
ejpam-6921	420	3	(	(	PUNCT
ejpam-6921	420	4	ρ	ρ	NOUN
ejpam-6921	420	5	,	,	PUNCT
ejpam-6921	420	6	ω)-quasiinvexity	ω)-quasiinvexity	NOUN
ejpam-6921	420	7	for	for	ADP
ejpam-6921	420	8	multidimensional	multidimensional	ADJ
ejpam-6921	420	9	vector	vector	NOUN
ejpam-6921	420	10	fractional	fractional	ADJ
ejpam-6921	420	11	control	control	NOUN
ejpam-6921	420	12	problems	problem	NOUN
ejpam-6921	420	13	.	.	PUNCT
ejpam-6921	421	1	j.	j.	PROPN
ejpam-6921	421	2	inform	inform	PROPN
ejpam-6921	421	3	.	.	PUNCT
ejpam-6921	422	1	optim	optim	PROPN
ejpam-6921	422	2	.	.	PUNCT
ejpam-6921	423	1	sci	sci	PROPN
ejpam-6921	423	2	.	.	PROPN
ejpam-6921	423	3	,	,	PUNCT
ejpam-6921	423	4	40:1429–1445	40:1429–1445	NOUN
ejpam-6921	423	5	,	,	PUNCT
ejpam-6921	423	6	2019	2019	NUM
ejpam-6921	423	7	.	.	PUNCT
ejpam-6921	424	1	[	[	X
ejpam-6921	424	2	28	28	NUM
ejpam-6921	424	3	]	]	X
ejpam-6921	424	4	s	s	VERB
ejpam-6921	424	5	treanţă	treanţă	NOUN
ejpam-6921	424	6	and	and	CCONJ
ejpam-6921	424	7	t	t	PROPN
ejpam-6921	424	8	saeed	saeed	PROPN
ejpam-6921	424	9	.	.	PUNCT
ejpam-6921	425	1	duality	duality	NOUN
ejpam-6921	425	2	results	result	VERB
ejpam-6921	425	3	for	for	ADP
ejpam-6921	425	4	a	a	DET
ejpam-6921	425	5	class	class	NOUN
ejpam-6921	425	6	of	of	ADP
ejpam-6921	425	7	constrained	constrain	VERB
ejpam-6921	425	8	robust	robust	ADJ
ejpam-6921	425	9	nonlinear	nonlinear	ADJ
ejpam-6921	425	10	optimization	optimization	NOUN
ejpam-6921	425	11	problems	problem	NOUN
ejpam-6921	425	12	.	.	PUNCT
ejpam-6921	426	1	mathematics	mathematic	NOUN
ejpam-6921	426	2	,	,	PUNCT
ejpam-6921	426	3	11:192	11:192	NUM
ejpam-6921	426	4	,	,	PUNCT
ejpam-6921	426	5	2023	2023	NUM
ejpam-6921	426	6	.	.	PUNCT
ejpam-6921	427	1	[	[	X
ejpam-6921	427	2	29	29	NUM
ejpam-6921	427	3	]	]	SYM
ejpam-6921	427	4	b	b	X
ejpam-6921	427	5	b	b	X
ejpam-6921	427	6	upadhyay	upadhyay	PROPN
ejpam-6921	427	7	a	a	PROPN
ejpam-6921	427	8	ghosh	ghosh	PROPN
ejpam-6921	427	9	and	and	CCONJ
ejpam-6921	427	10	s	s	NOUN
ejpam-6921	427	11	treanţă	treanţă	NOUN
ejpam-6921	427	12	.	.	PUNCT
ejpam-6921	428	1	optimality	optimality	NOUN
ejpam-6921	428	2	conditions	condition	NOUN
ejpam-6921	428	3	and	and	CCONJ
ejpam-6921	428	4	duality	duality	NOUN
ejpam-6921	428	5	for	for	ADP
ejpam-6921	428	6	nonsmooth	nonsmooth	ADJ
ejpam-6921	428	7	multiobjective	multiobjective	ADJ
ejpam-6921	428	8	semi	semi	ADJ
ejpam-6921	428	9	-	-	ADJ
ejpam-6921	428	10	infinite	infinite	ADJ
ejpam-6921	428	11	programming	programming	NOUN
ejpam-6921	428	12	problems	problem	NOUN
ejpam-6921	428	13	on	on	ADP
ejpam-6921	428	14	hadamard	hadamard	ADJ
ejpam-6921	428	15	manifolds	manifold	NOUN
ejpam-6921	428	16	.	.	PUNCT
ejpam-6921	429	1	bull	bull	NOUN
ejpam-6921	429	2	.	.	PUNCT
ejpam-6921	430	1	iran	iran	PROPN
ejpam-6921	430	2	.	.	PUNCT
ejpam-6921	431	1	math	math	NOUN
ejpam-6921	431	2	.	.	PUNCT
ejpam-6921	432	1	soc	soc	PROPN
ejpam-6921	432	2	.	.	PUNCT
ejpam-6921	432	3	,	,	PUNCT
ejpam-6921	432	4	49:45	49:45	NUM
ejpam-6921	432	5	,	,	PUNCT
ejpam-6921	432	6	2023	2023	NUM
ejpam-6921	432	7	.	.	PUNCT
ejpam-6921	433	1	[	[	X
ejpam-6921	433	2	30	30	NUM
ejpam-6921	433	3	]	]	X
ejpam-6921	433	4	b	b	PROPN
ejpam-6921	433	5	b	b	X
ejpam-6921	433	6	upadhyay	upadhyay	PROPN
ejpam-6921	433	7	a	a	PROPN
ejpam-6921	433	8	ghosh	ghosh	PROPN
ejpam-6921	433	9	and	and	CCONJ
ejpam-6921	433	10	s	s	NOUN
ejpam-6921	433	11	treanţă	treanţă	NOUN
ejpam-6921	433	12	.	.	PUNCT
ejpam-6921	434	1	efficiency	efficiency	NOUN
ejpam-6921	434	2	conditions	condition	NOUN
ejpam-6921	434	3	and	and	CCONJ
ejpam-6921	434	4	duality	duality	NOUN
ejpam-6921	434	5	for	for	ADP
ejpam-6921	434	6	multiobjective	multiobjective	ADJ
ejpam-6921	434	7	semi	semi	ADJ
ejpam-6921	434	8	-	-	ADJ
ejpam-6921	434	9	infinite	infinite	ADJ
ejpam-6921	434	10	programming	programming	NOUN
ejpam-6921	434	11	problems	problem	NOUN
ejpam-6921	434	12	on	on	ADP
ejpam-6921	434	13	hadamard	hadamard	ADJ
ejpam-6921	434	14	manifolds	manifold	NOUN
ejpam-6921	434	15	.	.	PUNCT
ejpam-6921	435	1	j.	j.	PROPN
ejpam-6921	435	2	global	global	PROPN
ejpam-6921	435	3	optim	optim	PROPN
ejpam-6921	435	4	.	.	PROPN
ejpam-6921	435	5	,	,	PUNCT
ejpam-6921	435	6	89:723–744	89:723–744	NUM
ejpam-6921	435	7	,	,	PUNCT
ejpam-6921	435	8	2024	2024	NUM
ejpam-6921	435	9	.	.	PUNCT
ejpam-6921	436	1	[	[	X
ejpam-6921	436	2	31	31	NUM
ejpam-6921	436	3	]	]	SYM
ejpam-6921	436	4	b	b	PROPN
ejpam-6921	436	5	b	b	X
ejpam-6921	436	6	upadhyay	upadhyay	PROPN
ejpam-6921	436	7	a	a	PROPN
ejpam-6921	436	8	ghosh	ghosh	PROPN
ejpam-6921	436	9	and	and	CCONJ
ejpam-6921	436	10	s	s	NOUN
ejpam-6921	436	11	treanţă	treanţă	NOUN
ejpam-6921	436	12	.	.	PUNCT
ejpam-6921	437	1	optimality	optimality	NOUN
ejpam-6921	437	2	conditions	condition	NOUN
ejpam-6921	437	3	and	and	CCONJ
ejpam-6921	437	4	duality	duality	NOUN
ejpam-6921	437	5	for	for	ADP
ejpam-6921	437	6	nonsmooth	nonsmooth	ADJ
ejpam-6921	437	7	multiobjective	multiobjective	ADJ
ejpam-6921	437	8	semi	semi	ADJ
ejpam-6921	437	9	-	-	ADJ
ejpam-6921	437	10	infinite	infinite	ADJ
ejpam-6921	437	11	programming	programming	NOUN
ejpam-6921	437	12	problems	problem	NOUN
ejpam-6921	437	13	with	with	ADP
ejpam-6921	437	14	vanishing	vanish	VERB
ejpam-6921	437	15	constraints	constraint	NOUN
ejpam-6921	437	16	on	on	ADP
ejpam-6921	437	17	hadamard	hadamard	ADJ
ejpam-6921	437	18	manifolds	manifold	NOUN
ejpam-6921	437	19	.	.	PUNCT
ejpam-6921	438	1	j.	j.	PROPN
ejpam-6921	438	2	math	math	PROPN
ejpam-6921	438	3	.	.	PUNCT
ejpam-6921	439	1	anal	anal	PROPN
ejpam-6921	439	2	.	.	PUNCT
ejpam-6921	440	1	appl	appl	PROPN
ejpam-6921	440	2	.	.	PROPN
ejpam-6921	440	3	,	,	PUNCT
ejpam-6921	440	4	531:127785	531:127785	NUM
ejpam-6921	440	5	,	,	PUNCT
ejpam-6921	440	6	2024	2024	NUM
ejpam-6921	440	7	.	.	PUNCT
ejpam-6921	441	1	[	[	X
ejpam-6921	441	2	32	32	NUM
ejpam-6921	441	3	]	]	PUNCT
ejpam-6921	441	4	x	x	PUNCT
ejpam-6921	441	5	m	m	VERB
ejpam-6921	441	6	yang	yang	PROPN
ejpam-6921	441	7	s	s	PROPN
ejpam-6921	441	8	y	y	PROPN
ejpam-6921	441	9	wang	wang	PROPN
ejpam-6921	441	10	and	and	CCONJ
ejpam-6921	441	11	x	x	PROPN
ejpam-6921	441	12	t	t	PROPN
ejpam-6921	441	13	deng	deng	PROPN
ejpam-6921	441	14	.	.	PUNCT
ejpam-6921	442	1	symmetric	symmetric	ADJ
ejpam-6921	442	2	duality	duality	NOUN
ejpam-6921	442	3	for	for	ADP
ejpam-6921	442	4	multiobjective	multiobjective	ADJ
ejpam-6921	442	5	fractional	fractional	ADJ
ejpam-6921	442	6	programming	programming	NOUN
ejpam-6921	442	7	problems	problem	NOUN
ejpam-6921	442	8	.	.	PUNCT
ejpam-6921	443	1	j.	j.	PROPN
ejpam-6921	443	2	math	math	PROPN
ejpam-6921	443	3	.	.	PUNCT
ejpam-6921	444	1	anal	anal	PROPN
ejpam-6921	444	2	.	.	PUNCT
ejpam-6921	445	1	appl	appl	PROPN
ejpam-6921	445	2	.	.	PROPN
ejpam-6921	445	3	,	,	PUNCT
ejpam-6921	445	4	274:279–295	274:279–295	NUM
ejpam-6921	445	5	,	,	PUNCT
ejpam-6921	445	6	2002	2002	NUM
ejpam-6921	445	7	.	.	PUNCT
ejpam-6921	446	1	[	[	X
ejpam-6921	446	2	33	33	NUM
ejpam-6921	446	3	]	]	PUNCT
ejpam-6921	446	4	a	a	DET
ejpam-6921	446	5	m	m	NOUN
ejpam-6921	446	6	geoffrion	geoffrion	NOUN
ejpam-6921	446	7	.	.	PUNCT
ejpam-6921	447	1	proper	proper	ADJ
ejpam-6921	447	2	efficiency	efficiency	NOUN
ejpam-6921	447	3	and	and	CCONJ
ejpam-6921	447	4	the	the	DET
ejpam-6921	447	5	theory	theory	NOUN
ejpam-6921	447	6	of	of	ADP
ejpam-6921	447	7	vector	vector	PROPN
ejpam-6921	447	8	maximization	maximization	NOUN
ejpam-6921	447	9	.	.	PUNCT
ejpam-6921	448	1	j.	j.	PROPN
ejpam-6921	448	2	math	math	PROPN
ejpam-6921	448	3	.	.	PUNCT
ejpam-6921	449	1	anal	anal	PROPN
ejpam-6921	449	2	.	.	PUNCT
ejpam-6921	450	1	appl	appl	PROPN
ejpam-6921	450	2	.	.	PROPN
ejpam-6921	450	3	,	,	PUNCT
ejpam-6921	450	4	22:613–630	22:613–630	NUM
ejpam-6921	450	5	,	,	PUNCT
ejpam-6921	450	6	1968	1968	NUM
ejpam-6921	450	7	.	.	PUNCT
ejpam-6921	451	1	[	[	X
ejpam-6921	451	2	34	34	NUM
ejpam-6921	451	3	]	]	X
ejpam-6921	451	4	t	t	PROPN
ejpam-6921	451	5	weir	weir	PROPN
ejpam-6921	451	6	.	.	PUNCT
ejpam-6921	452	1	symmetric	symmetric	ADJ
ejpam-6921	452	2	dual	dual	ADJ
ejpam-6921	452	3	multiobjective	multiobjective	ADJ
ejpam-6921	452	4	fractional	fractional	ADJ
ejpam-6921	452	5	programming	programming	NOUN
ejpam-6921	452	6	.	.	PUNCT
ejpam-6921	453	1	j.	j.	PROPN
ejpam-6921	453	2	austral	austral	PROPN
ejpam-6921	453	3	.	.	PUNCT
ejpam-6921	454	1	math	math	NOUN
ejpam-6921	454	2	.	.	PUNCT
ejpam-6921	455	1	soc	soc	PROPN
ejpam-6921	455	2	.	.	PUNCT
ejpam-6921	456	1	(	(	PUNCT
ejpam-6921	456	2	ser	ser	NOUN
ejpam-6921	456	3	.	.	PUNCT
ejpam-6921	457	1	a	a	X
ejpam-6921	457	2	)	)	PUNCT
ejpam-6921	457	3	,	,	PUNCT
ejpam-6921	457	4	50:67–74	50:67–74	NUM
ejpam-6921	457	5	,	,	PUNCT
ejpam-6921	457	6	1991	1991	NUM
ejpam-6921	457	7	.	.	PUNCT
ejpam-6921	458	1	[	[	X
ejpam-6921	458	2	35	35	NUM
ejpam-6921	458	3	]	]	X
ejpam-6921	458	4	t	t	NOUN
ejpam-6921	458	5	r	r	NOUN
ejpam-6921	458	6	gulati	gulati	PROPN
ejpam-6921	458	7	i	i	PRON
ejpam-6921	458	8	husain	husain	VERB
ejpam-6921	458	9	and	and	CCONJ
ejpam-6921	458	10	a	a	DET
ejpam-6921	458	11	ahmed	ahmed	PROPN
ejpam-6921	458	12	.	.	PUNCT
ejpam-6921	459	1	symmetric	symmetric	ADJ
ejpam-6921	459	2	duality	duality	NOUN
ejpam-6921	459	3	for	for	ADP
ejpam-6921	459	4	multiobjective	multiobjective	ADJ
ejpam-6921	459	5	variational	variational	ADJ
ejpam-6921	459	6	problems	problem	NOUN
ejpam-6921	459	7	.	.	PUNCT
ejpam-6921	460	1	j.	j.	PROPN
ejpam-6921	460	2	math	math	PROPN
ejpam-6921	460	3	.	.	PUNCT
ejpam-6921	461	1	anal	anal	PROPN
ejpam-6921	461	2	.	.	PUNCT
ejpam-6921	462	1	appl	appl	PROPN
ejpam-6921	462	2	.	.	PROPN
ejpam-6921	462	3	,	,	PUNCT
ejpam-6921	463	1	210:22–38	210:22–38	NUM
ejpam-6921	463	2	,	,	PUNCT
ejpam-6921	463	3	1997	1997	NUM
ejpam-6921	463	4	.	.	PUNCT
ejpam-6921	464	1	[	[	X
ejpam-6921	464	2	36	36	NUM
ejpam-6921	464	3	]	]	X
ejpam-6921	464	4	t	t	PROPN
ejpam-6921	464	5	r	r	NOUN
ejpam-6921	464	6	gulati	gulati	PROPN
ejpam-6921	464	7	i	i	PRON
ejpam-6921	464	8	husain	husain	VERB
ejpam-6921	464	9	and	and	CCONJ
ejpam-6921	464	10	a	a	DET
ejpam-6921	464	11	ahmed	ahmed	PROPN
ejpam-6921	464	12	.	.	PUNCT
ejpam-6921	465	1	symmetric	symmetric	ADJ
ejpam-6921	465	2	duality	duality	NOUN
ejpam-6921	465	3	with	with	ADP
ejpam-6921	465	4	invexity	invexity	NOUN
ejpam-6921	465	5	in	in	ADP
ejpam-6921	465	6	static	static	ADJ
ejpam-6921	465	7	and	and	CCONJ
ejpam-6921	465	8	continuous	continuous	ADJ
ejpam-6921	465	9	fractional	fractional	ADJ
ejpam-6921	465	10	programming	programming	NOUN
ejpam-6921	465	11	.	.	PUNCT
ejpam-6921	466	1	optimization	optimization	NOUN
ejpam-6921	466	2	,	,	PUNCT
ejpam-6921	466	3	40:41–56	40:41–56	NUM
ejpam-6921	466	4	,	,	PUNCT
ejpam-6921	466	5	1997	1997	NUM
ejpam-6921	466	6	.	.	PUNCT
ejpam-6921	467	1	[	[	X
ejpam-6921	467	2	37	37	NUM
ejpam-6921	467	3	]	]	X
ejpam-6921	467	4	g	g	PROPN
ejpam-6921	467	5	ye	ye	NUM
ejpam-6921	467	6	and	and	CCONJ
ejpam-6921	467	7	w	w	PROPN
ejpam-6921	467	8	liu	liu	PROPN
ejpam-6921	467	9	s	s	PROPN
ejpam-6921	467	10	treanţă	treanţă	NOUN
ejpam-6921	467	11	,	,	PUNCT
ejpam-6921	467	12	v	v	NOUN
ejpam-6921	467	13	ionică	ionică	NOUN
ejpam-6921	467	14	.	.	PUNCT
ejpam-6921	468	1	on	on	ADP
ejpam-6921	468	2	symmetric	symmetric	ADJ
ejpam-6921	468	3	dual	dual	ADJ
ejpam-6921	468	4	models	model	NOUN
ejpam-6921	468	5	associated	associate	VERB
ejpam-6921	468	6	with	with	ADP
ejpam-6921	468	7	multiple	multiple	ADJ
ejpam-6921	468	8	cost	cost	NOUN
ejpam-6921	468	9	control	control	NOUN
ejpam-6921	468	10	problems	problem	NOUN
ejpam-6921	468	11	.	.	PUNCT
ejpam-6921	469	1	arch	arch	NOUN
ejpam-6921	469	2	.	.	PUNCT
ejpam-6921	470	1	control	control	PROPN
ejpam-6921	470	2	sci	sci	PROPN
ejpam-6921	470	3	.	.	PROPN
ejpam-6921	470	4	,	,	PUNCT
ejpam-6921	470	5	35:265–288	35:265–288	NUM
ejpam-6921	470	6	,	,	PUNCT
ejpam-6921	470	7	2025	2025	NUM
ejpam-6921	470	8	.	.	PUNCT
ejpam-6921	471	1	[	[	X
ejpam-6921	471	2	38	38	NUM
ejpam-6921	471	3	]	]	X
ejpam-6921	471	4	d	d	X
ejpam-6921	471	5	s	s	PROPN
ejpam-6921	471	6	kim	kim	PROPN
ejpam-6921	471	7	w	w	PROPN
ejpam-6921	471	8	j	j	PROPN
ejpam-6921	471	9	lee	lee	PROPN
ejpam-6921	471	10	and	and	CCONJ
ejpam-6921	471	11	s	s	VERB
ejpam-6921	471	12	schaible	schaible	ADJ
ejpam-6921	471	13	.	.	PUNCT
ejpam-6921	472	1	symmetric	symmetric	ADJ
ejpam-6921	472	2	duality	duality	NOUN
ejpam-6921	472	3	for	for	ADP
ejpam-6921	472	4	invex	invex	NOUN
ejpam-6921	472	5	multiobjective	multiobjective	ADJ
ejpam-6921	472	6	fractional	fractional	ADJ
ejpam-6921	472	7	variational	variational	ADJ
ejpam-6921	472	8	problems	problem	NOUN
ejpam-6921	472	9	.	.	PUNCT
ejpam-6921	473	1	j.	j.	PROPN
ejpam-6921	473	2	math	math	PROPN
ejpam-6921	473	3	.	.	PUNCT
ejpam-6921	474	1	anal	anal	PROPN
ejpam-6921	474	2	.	.	PUNCT
ejpam-6921	475	1	appl	appl	PROPN
ejpam-6921	475	2	.	.	PROPN
ejpam-6921	475	3	,	,	PUNCT
ejpam-6921	475	4	289:505–521	289:505–521	NUM
ejpam-6921	475	5	,	,	PUNCT
ejpam-6921	475	6	2004	2004	NUM
ejpam-6921	475	7	.	.	PUNCT