id	sid	tid	token	lemma	pos
ejpam-4128	1	1	european	european	PROPN
ejpam-4128	1	2	journal	journal	PROPN
ejpam-4128	1	3	of	of	ADP
ejpam-4128	1	4	pure	pure	ADJ
ejpam-4128	1	5	and	and	CCONJ
ejpam-4128	1	6	applied	apply	VERB
ejpam-4128	1	7	mathematics	mathematic	NOUN
ejpam-4128	1	8	vol	vol	NOUN
ejpam-4128	1	9	.	.	PUNCT
ejpam-4128	2	1	14	14	NUM
ejpam-4128	2	2	,	,	PUNCT
ejpam-4128	2	3	no	no	INTJ
ejpam-4128	2	4	.	.	NOUN
ejpam-4128	2	5	4	4	NUM
ejpam-4128	2	6	,	,	PUNCT
ejpam-4128	2	7	2021	2021	NUM
ejpam-4128	2	8	,	,	PUNCT
ejpam-4128	2	9	1429	1429	NUM
ejpam-4128	2	10	-	-	SYM
ejpam-4128	2	11	1456	1456	NUM
ejpam-4128	2	12	issn	issn	PROPN
ejpam-4128	2	13	1307	1307	NUM
ejpam-4128	2	14	-	-	SYM
ejpam-4128	2	15	5543	5543	NUM
ejpam-4128	2	16	–	–	PUNCT
ejpam-4128	2	17	ejpam.com	ejpam.com	X
ejpam-4128	2	18	published	publish	VERB
ejpam-4128	2	19	by	by	ADP
ejpam-4128	2	20	new	new	PROPN
ejpam-4128	2	21	york	york	PROPN
ejpam-4128	2	22	business	business	PROPN
ejpam-4128	2	23	global	global	PROPN
ejpam-4128	2	24	a	a	DET
ejpam-4128	2	25	descent	descent	NOUN
ejpam-4128	2	26	four	four	NUM
ejpam-4128	2	27	-	-	PUNCT
ejpam-4128	2	28	term	term	NOUN
ejpam-4128	2	29	of	of	ADP
ejpam-4128	2	30	liu	liu	PROPN
ejpam-4128	2	31	and	and	CCONJ
ejpam-4128	2	32	storey	storey	PROPN
ejpam-4128	2	33	conjugate	conjugate	VERB
ejpam-4128	2	34	gradient	gradient	NOUN
ejpam-4128	2	35	method	method	NOUN
ejpam-4128	2	36	for	for	ADP
ejpam-4128	2	37	large	large	ADJ
ejpam-4128	2	38	scale	scale	NOUN
ejpam-4128	2	39	unconstrained	unconstrained	ADJ
ejpam-4128	2	40	optimization	optimization	NOUN
ejpam-4128	2	41	problems	problem	NOUN
ejpam-4128	2	42	ahmad	ahmad	PROPN
ejpam-4128	2	43	alhawarat1	alhawarat1	PROPN
ejpam-4128	2	44	,	,	PUNCT
ejpam-4128	2	45	hanan	hanan	PROPN
ejpam-4128	2	46	alolaiyan2	alolaiyan2	PROPN
ejpam-4128	2	47	,	,	PUNCT
ejpam-4128	2	48	ibtisam	ibtisam	PROPN
ejpam-4128	2	49	a.	a.	PROPN
ejpam-4128	2	50	masmali3	masmali3	PROPN
ejpam-4128	2	51	,	,	PUNCT
ejpam-4128	2	52	zabidin	zabidin	VERB
ejpam-4128	2	53	salleh4	salleh4	NOUN
ejpam-4128	2	54	,	,	PUNCT
ejpam-4128	2	55	shahrina	shahrina	VERB
ejpam-4128	2	56	ismail5,∗	ismail5,∗	PRON
ejpam-4128	2	57	1	1	NUM
ejpam-4128	2	58	division	division	NOUN
ejpam-4128	2	59	of	of	ADP
ejpam-4128	2	60	computational	computational	ADJ
ejpam-4128	2	61	mathematics	mathematic	NOUN
ejpam-4128	2	62	and	and	CCONJ
ejpam-4128	2	63	engineering	engineering	NOUN
ejpam-4128	2	64	,	,	PUNCT
ejpam-4128	2	65	institute	institute	NOUN
ejpam-4128	2	66	for	for	ADP
ejpam-4128	2	67	computational	computational	ADJ
ejpam-4128	2	68	science	science	NOUN
ejpam-4128	2	69	,	,	PUNCT
ejpam-4128	2	70	ton	ton	PROPN
ejpam-4128	2	71	duc	duc	PROPN
ejpam-4128	2	72	thang	thang	PROPN
ejpam-4128	2	73	university	university	PROPN
ejpam-4128	2	74	,	,	PUNCT
ejpam-4128	2	75	ho	ho	PROPN
ejpam-4128	2	76	chi	chi	PROPN
ejpam-4128	2	77	minh	minh	PROPN
ejpam-4128	2	78	city	city	PROPN
ejpam-4128	2	79	,	,	PUNCT
ejpam-4128	2	80	vietnam	vietnam	PROPN
ejpam-4128	2	81	2	2	NUM
ejpam-4128	2	82	department	department	NOUN
ejpam-4128	2	83	of	of	ADP
ejpam-4128	2	84	mathematics	mathematic	NOUN
ejpam-4128	2	85	,	,	PUNCT
ejpam-4128	2	86	college	college	NOUN
ejpam-4128	2	87	of	of	ADP
ejpam-4128	2	88	science	science	NOUN
ejpam-4128	2	89	,	,	PUNCT
ejpam-4128	2	90	king	king	PROPN
ejpam-4128	2	91	saud	saud	PROPN
ejpam-4128	2	92	university	university	PROPN
ejpam-4128	2	93	,	,	PUNCT
ejpam-4128	2	94	riyadh	riyadh	PROPN
ejpam-4128	2	95	11451	11451	NUM
ejpam-4128	2	96	,	,	PUNCT
ejpam-4128	2	97	saudi	saudi	PROPN
ejpam-4128	2	98	arabia	arabia	PROPN
ejpam-4128	2	99	3	3	NUM
ejpam-4128	2	100	department	department	NOUN
ejpam-4128	2	101	of	of	ADP
ejpam-4128	2	102	mathematics	mathematics	PROPN
ejpam-4128	2	103	,	,	PUNCT
ejpam-4128	2	104	college	college	NOUN
ejpam-4128	2	105	of	of	ADP
ejpam-4128	2	106	science	science	PROPN
ejpam-4128	2	107	,	,	PUNCT
ejpam-4128	2	108	jazan	jazan	PROPN
ejpam-4128	2	109	university	university	PROPN
ejpam-4128	2	110	,	,	PUNCT
ejpam-4128	2	111	jazan	jazan	NOUN
ejpam-4128	2	112	,	,	PUNCT
ejpam-4128	2	113	saudi	saudi	PROPN
ejpam-4128	2	114	arabia	arabia	PROPN
ejpam-4128	2	115	4	4	NUM
ejpam-4128	2	116	department	department	NOUN
ejpam-4128	2	117	of	of	ADP
ejpam-4128	2	118	mathematics	mathematic	NOUN
ejpam-4128	2	119	,	,	PUNCT
ejpam-4128	2	120	faculty	faculty	NOUN
ejpam-4128	2	121	of	of	ADP
ejpam-4128	2	122	ocean	ocean	NOUN
ejpam-4128	2	123	engineering	engineering	NOUN
ejpam-4128	2	124	technology	technology	NOUN
ejpam-4128	2	125	and	and	CCONJ
ejpam-4128	2	126	informatics	informatic	NOUN
ejpam-4128	2	127	,	,	PUNCT
ejpam-4128	2	128	universiti	universiti	PROPN
ejpam-4128	2	129	malaysia	malaysia	PROPN
ejpam-4128	2	130	terengganu	terengganu	PROPN
ejpam-4128	2	131	,	,	PUNCT
ejpam-4128	2	132	terengganu	terengganu	PROPN
ejpam-4128	2	133	,	,	PUNCT
ejpam-4128	2	134	malaysia	malaysia	PROPN
ejpam-4128	2	135	5	5	NUM
ejpam-4128	2	136	financial	financial	ADJ
ejpam-4128	2	137	mathematics	mathematic	NOUN
ejpam-4128	2	138	program	program	NOUN
ejpam-4128	2	139	,	,	PUNCT
ejpam-4128	2	140	faculty	faculty	NOUN
ejpam-4128	2	141	of	of	ADP
ejpam-4128	2	142	science	science	NOUN
ejpam-4128	2	143	and	and	CCONJ
ejpam-4128	2	144	technology	technology	NOUN
ejpam-4128	2	145	,	,	PUNCT
ejpam-4128	2	146	universiti	universiti	PROPN
ejpam-4128	2	147	sains	sain	VERB
ejpam-4128	2	148	islam	islam	PROPN
ejpam-4128	2	149	malaysia	malaysia	PROPN
ejpam-4128	2	150	,	,	PUNCT
ejpam-4128	2	151	bandar	bandar	PROPN
ejpam-4128	2	152	baru	baru	PROPN
ejpam-4128	2	153	nilai	nilai	PROPN
ejpam-4128	2	154	,	,	PUNCT
ejpam-4128	2	155	71800	71800	NUM
ejpam-4128	2	156	,	,	PUNCT
ejpam-4128	2	157	nilai	nilai	PROPN
ejpam-4128	2	158	,	,	PUNCT
ejpam-4128	2	159	negeri	negeri	PROPN
ejpam-4128	2	160	sembilan	sembilan	PROPN
ejpam-4128	2	161	,	,	PUNCT
ejpam-4128	2	162	malaysia	malaysia	PROPN
ejpam-4128	2	163	abstract	abstract	NOUN
ejpam-4128	2	164	.	.	PUNCT
ejpam-4128	3	1	the	the	DET
ejpam-4128	3	2	conjugate	conjugate	ADJ
ejpam-4128	3	3	gradient	gradient	NOUN
ejpam-4128	3	4	(	(	PUNCT
ejpam-4128	3	5	cg	cg	NOUN
ejpam-4128	3	6	)	)	PUNCT
ejpam-4128	3	7	method	method	NOUN
ejpam-4128	3	8	is	be	AUX
ejpam-4128	3	9	a	a	DET
ejpam-4128	3	10	useful	useful	ADJ
ejpam-4128	3	11	tool	tool	NOUN
ejpam-4128	3	12	for	for	ADP
ejpam-4128	3	13	obtaining	obtain	VERB
ejpam-4128	3	14	the	the	DET
ejpam-4128	3	15	optimum	optimum	ADJ
ejpam-4128	3	16	point	point	NOUN
ejpam-4128	3	17	for	for	ADP
ejpam-4128	3	18	unconstrained	unconstrained	ADJ
ejpam-4128	3	19	optimization	optimization	NOUN
ejpam-4128	3	20	problems	problem	NOUN
ejpam-4128	3	21	since	since	SCONJ
ejpam-4128	3	22	it	it	PRON
ejpam-4128	3	23	does	do	AUX
ejpam-4128	3	24	not	not	PART
ejpam-4128	3	25	require	require	VERB
ejpam-4128	3	26	a	a	DET
ejpam-4128	3	27	second	second	ADJ
ejpam-4128	3	28	derivative	derivative	NOUN
ejpam-4128	3	29	or	or	CCONJ
ejpam-4128	3	30	its	its	PRON
ejpam-4128	3	31	approximations	approximation	NOUN
ejpam-4128	3	32	.	.	PUNCT
ejpam-4128	4	1	moreover	moreover	ADV
ejpam-4128	4	2	,	,	PUNCT
ejpam-4128	4	3	the	the	DET
ejpam-4128	4	4	conjugate	conjugate	ADJ
ejpam-4128	4	5	gradient	gradient	NOUN
ejpam-4128	4	6	method	method	NOUN
ejpam-4128	4	7	can	can	AUX
ejpam-4128	4	8	be	be	AUX
ejpam-4128	4	9	applied	apply	VERB
ejpam-4128	4	10	in	in	ADP
ejpam-4128	4	11	many	many	ADJ
ejpam-4128	4	12	fields	field	NOUN
ejpam-4128	4	13	such	such	ADJ
ejpam-4128	4	14	as	as	ADP
ejpam-4128	4	15	machine	machine	NOUN
ejpam-4128	4	16	learning	learning	NOUN
ejpam-4128	4	17	,	,	PUNCT
ejpam-4128	4	18	deep	deep	ADJ
ejpam-4128	4	19	learning	learning	NOUN
ejpam-4128	4	20	,	,	PUNCT
ejpam-4128	4	21	neural	neural	ADJ
ejpam-4128	4	22	network	network	NOUN
ejpam-4128	4	23	,	,	PUNCT
ejpam-4128	4	24	and	and	CCONJ
ejpam-4128	4	25	many	many	ADJ
ejpam-4128	4	26	others	other	NOUN
ejpam-4128	4	27	.	.	PUNCT
ejpam-4128	5	1	this	this	DET
ejpam-4128	5	2	paper	paper	NOUN
ejpam-4128	5	3	constructs	construct	VERB
ejpam-4128	5	4	a	a	DET
ejpam-4128	5	5	fourterm	fourterm	NOUN
ejpam-4128	5	6	conjugate	conjugate	ADJ
ejpam-4128	5	7	gradient	gradient	NOUN
ejpam-4128	5	8	method	method	NOUN
ejpam-4128	5	9	that	that	PRON
ejpam-4128	5	10	satisfies	satisfy	VERB
ejpam-4128	5	11	the	the	DET
ejpam-4128	5	12	descent	descent	NOUN
ejpam-4128	5	13	property	property	NOUN
ejpam-4128	5	14	and	and	CCONJ
ejpam-4128	5	15	convergence	convergence	NOUN
ejpam-4128	5	16	properties	property	NOUN
ejpam-4128	5	17	to	to	PART
ejpam-4128	5	18	obtain	obtain	VERB
ejpam-4128	5	19	the	the	DET
ejpam-4128	5	20	stationary	stationary	ADJ
ejpam-4128	5	21	point	point	NOUN
ejpam-4128	5	22	.	.	PUNCT
ejpam-4128	6	1	the	the	DET
ejpam-4128	6	2	new	new	ADJ
ejpam-4128	6	3	modification	modification	NOUN
ejpam-4128	6	4	was	be	AUX
ejpam-4128	6	5	constructed	construct	VERB
ejpam-4128	6	6	based	base	VERB
ejpam-4128	6	7	on	on	ADP
ejpam-4128	6	8	liu	liu	PROPN
ejpam-4128	6	9	and	and	CCONJ
ejpam-4128	6	10	storey	storey	PROPN
ejpam-4128	6	11	’s	’s	PART
ejpam-4128	6	12	conjugate	conjugate	ADJ
ejpam-4128	6	13	gradient	gradient	NOUN
ejpam-4128	6	14	method	method	NOUN
ejpam-4128	6	15	,	,	PUNCT
ejpam-4128	6	16	two	two	NUM
ejpam-4128	6	17	-	-	PUNCT
ejpam-4128	6	18	term	term	NOUN
ejpam-4128	6	19	conjugate	conjugate	ADJ
ejpam-4128	6	20	gradient	gradient	NOUN
ejpam-4128	6	21	method	method	NOUN
ejpam-4128	6	22	,	,	PUNCT
ejpam-4128	6	23	and	and	CCONJ
ejpam-4128	6	24	three	three	NUM
ejpam-4128	6	25	-	-	PUNCT
ejpam-4128	6	26	term	term	NOUN
ejpam-4128	6	27	conjugate	conjugate	ADJ
ejpam-4128	6	28	gradient	gradient	NOUN
ejpam-4128	6	29	method	method	NOUN
ejpam-4128	6	30	.	.	PUNCT
ejpam-4128	7	1	to	to	PART
ejpam-4128	7	2	analyze	analyze	VERB
ejpam-4128	7	3	the	the	DET
ejpam-4128	7	4	efficiency	efficiency	NOUN
ejpam-4128	7	5	and	and	CCONJ
ejpam-4128	7	6	robustness	robustness	NOUN
ejpam-4128	7	7	,	,	PUNCT
ejpam-4128	7	8	we	we	PRON
ejpam-4128	7	9	used	use	VERB
ejpam-4128	7	10	more	more	ADJ
ejpam-4128	7	11	than	than	ADP
ejpam-4128	7	12	150	150	NUM
ejpam-4128	7	13	optimization	optimization	NOUN
ejpam-4128	7	14	functions	function	NOUN
ejpam-4128	7	15	from	from	ADP
ejpam-4128	7	16	the	the	DET
ejpam-4128	7	17	cutest	cut	ADJ
ejpam-4128	7	18	library	library	NOUN
ejpam-4128	7	19	with	with	ADP
ejpam-4128	7	20	different	different	ADJ
ejpam-4128	7	21	dimensions	dimension	NOUN
ejpam-4128	7	22	and	and	CCONJ
ejpam-4128	7	23	shapes	shape	NOUN
ejpam-4128	7	24	.	.	PUNCT
ejpam-4128	8	1	the	the	DET
ejpam-4128	8	2	numerical	numerical	ADJ
ejpam-4128	8	3	results	result	NOUN
ejpam-4128	8	4	show	show	VERB
ejpam-4128	8	5	that	that	SCONJ
ejpam-4128	8	6	the	the	DET
ejpam-4128	8	7	new	new	ADJ
ejpam-4128	8	8	modification	modification	NOUN
ejpam-4128	8	9	outperforms	outperform	VERB
ejpam-4128	8	10	the	the	DET
ejpam-4128	8	11	recent	recent	ADJ
ejpam-4128	8	12	conjugate	conjugate	ADJ
ejpam-4128	8	13	gradient	gradient	NOUN
ejpam-4128	8	14	methods	method	NOUN
ejpam-4128	8	15	such	such	ADJ
ejpam-4128	8	16	as	as	ADP
ejpam-4128	8	17	cg	cg	NOUN
ejpam-4128	8	18	-	-	PUNCT
ejpam-4128	8	19	descent	descent	NOUN
ejpam-4128	8	20	,	,	PUNCT
ejpam-4128	8	21	dai	dai	PROPN
ejpam-4128	8	22	and	and	CCONJ
ejpam-4128	8	23	liao	liao	PROPN
ejpam-4128	8	24	,	,	PUNCT
ejpam-4128	8	25	and	and	CCONJ
ejpam-4128	8	26	others	other	NOUN
ejpam-4128	8	27	in	in	ADP
ejpam-4128	8	28	terms	term	NOUN
ejpam-4128	8	29	of	of	ADP
ejpam-4128	8	30	number	number	NOUN
ejpam-4128	8	31	of	of	ADP
ejpam-4128	8	32	functions	function	NOUN
ejpam-4128	8	33	evaluations	evaluation	NOUN
ejpam-4128	8	34	,	,	PUNCT
ejpam-4128	8	35	number	number	NOUN
ejpam-4128	8	36	of	of	ADP
ejpam-4128	8	37	gradient	gradient	NOUN
ejpam-4128	8	38	evaluations	evaluation	NOUN
ejpam-4128	8	39	,	,	PUNCT
ejpam-4128	8	40	number	number	NOUN
ejpam-4128	8	41	of	of	ADP
ejpam-4128	8	42	iterations	iteration	NOUN
ejpam-4128	8	43	,	,	PUNCT
ejpam-4128	8	44	and	and	CCONJ
ejpam-4128	8	45	cpu	cpu	NOUN
ejpam-4128	8	46	time	time	NOUN
ejpam-4128	8	47	.	.	PUNCT
ejpam-4128	9	1	2020	2020	NUM
ejpam-4128	9	2	mathematics	mathematic	NOUN
ejpam-4128	9	3	subject	subject	NOUN
ejpam-4128	9	4	classifications	classification	NOUN
ejpam-4128	9	5	:	:	PUNCT
ejpam-4128	9	6	65k10	65k10	NUM
ejpam-4128	9	7	,	,	PUNCT
ejpam-4128	9	8	90c25	90c25	NUM
ejpam-4128	9	9	,	,	PUNCT
ejpam-4128	9	10	90c26	90c26	NUM
ejpam-4128	9	11	key	key	ADJ
ejpam-4128	9	12	words	word	NOUN
ejpam-4128	9	13	and	and	CCONJ
ejpam-4128	9	14	phrases	phrase	NOUN
ejpam-4128	9	15	:	:	PUNCT
ejpam-4128	9	16	conjugate	conjugate	ADJ
ejpam-4128	9	17	gradient	gradient	NOUN
ejpam-4128	9	18	method	method	NOUN
ejpam-4128	9	19	,	,	PUNCT
ejpam-4128	9	20	wolfe	wolfe	PROPN
ejpam-4128	9	21	powell	powell	PROPN
ejpam-4128	9	22	line	line	PROPN
ejpam-4128	9	23	search	search	NOUN
ejpam-4128	9	24	,	,	PUNCT
ejpam-4128	9	25	descent	descent	NOUN
ejpam-4128	9	26	condition	condition	NOUN
ejpam-4128	9	27	,	,	PUNCT
ejpam-4128	9	28	convergence	convergence	NOUN
ejpam-4128	9	29	∗corresponding	∗corresponde	VERB
ejpam-4128	9	30	author	author	NOUN
ejpam-4128	9	31	.	.	PUNCT
ejpam-4128	10	1	doi	doi	NOUN
ejpam-4128	10	2	:	:	PUNCT
ejpam-4128	10	3	https://doi.org/10.29020/nybg.ejpam.v14i4.4128	https://doi.org/10.29020/nybg.ejpam.v14i4.4128	NOUN
ejpam-4128	10	4	email	email	NOUN
ejpam-4128	10	5	addresses	address	NOUN
ejpam-4128	10	6	:	:	PUNCT
ejpam-4128	10	7	shahrinaismail@usim.edu.my	shahrinaismail@usim.edu.my	NOUN
ejpam-4128	10	8	(	(	PUNCT
ejpam-4128	10	9	s.	s.	PROPN
ejpam-4128	10	10	ismail	ismail	PROPN
ejpam-4128	10	11	)	)	PUNCT
ejpam-4128	10	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-4128	11	1	1429	1429	NUM
ejpam-4128	12	1	©	©	PROPN
ejpam-4128	12	2	2021	2021	NUM
ejpam-4128	12	3	ejpam	ejpam	VERB
ejpam-4128	12	4	all	all	DET
ejpam-4128	12	5	rights	right	NOUN
ejpam-4128	12	6	reserved	reserve	VERB
ejpam-4128	12	7	.	.	PUNCT
ejpam-4128	13	1	s.	s.	PROPN
ejpam-4128	13	2	ismail	ismail	PROPN
ejpam-4128	13	3	et	et	PROPN
ejpam-4128	13	4	al	al	PROPN
ejpam-4128	13	5	.	.	PUNCT
ejpam-4128	13	6	/	/	SYM
ejpam-4128	13	7	eur	eur	PROPN
ejpam-4128	13	8	.	.	PUNCT
ejpam-4128	14	1	j.	j.	PROPN
ejpam-4128	14	2	pure	pure	PROPN
ejpam-4128	14	3	appl	appl	PROPN
ejpam-4128	14	4	.	.	PROPN
ejpam-4128	14	5	math	math	PROPN
ejpam-4128	14	6	,	,	PUNCT
ejpam-4128	14	7	14	14	NUM
ejpam-4128	14	8	(	(	PUNCT
ejpam-4128	14	9	4	4	NUM
ejpam-4128	14	10	)	)	PUNCT
ejpam-4128	14	11	(	(	PUNCT
ejpam-4128	14	12	2021	2021	NUM
ejpam-4128	14	13	)	)	PUNCT
ejpam-4128	14	14	,	,	PUNCT
ejpam-4128	14	15	1429	1429	NUM
ejpam-4128	14	16	-	-	SYM
ejpam-4128	14	17	1456	1456	NUM
ejpam-4128	14	18	1430	1430	NUM
ejpam-4128	14	19	1	1	NUM
ejpam-4128	14	20	.	.	PUNCT
ejpam-4128	15	1	introduction	introduction	NOUN
ejpam-4128	15	2	to	to	PART
ejpam-4128	15	3	solve	solve	VERB
ejpam-4128	15	4	unconstrained	unconstrained	ADJ
ejpam-4128	15	5	optimization	optimization	NOUN
ejpam-4128	15	6	problems	problem	NOUN
ejpam-4128	15	7	,	,	PUNCT
ejpam-4128	15	8	normally	normally	ADV
ejpam-4128	15	9	,	,	PUNCT
ejpam-4128	15	10	we	we	PRON
ejpam-4128	15	11	use	use	VERB
ejpam-4128	15	12	the	the	DET
ejpam-4128	15	13	conjugate	conjugate	ADJ
ejpam-4128	15	14	gradient	gradient	NOUN
ejpam-4128	15	15	(	(	PUNCT
ejpam-4128	15	16	cg	cg	NOUN
ejpam-4128	15	17	)	)	PUNCT
ejpam-4128	15	18	method	method	NOUN
ejpam-4128	15	19	since	since	SCONJ
ejpam-4128	15	20	it	it	PRON
ejpam-4128	15	21	does	do	AUX
ejpam-4128	15	22	not	not	PART
ejpam-4128	15	23	require	require	VERB
ejpam-4128	15	24	memory	memory	NOUN
ejpam-4128	15	25	storage	storage	NOUN
ejpam-4128	15	26	or	or	CCONJ
ejpam-4128	15	27	the	the	DET
ejpam-4128	15	28	second	second	ADJ
ejpam-4128	15	29	derivative	derivative	NOUN
ejpam-4128	15	30	of	of	ADP
ejpam-4128	15	31	the	the	DET
ejpam-4128	15	32	objective	objective	ADJ
ejpam-4128	15	33	function	function	NOUN
ejpam-4128	15	34	.	.	PUNCT
ejpam-4128	16	1	we	we	PRON
ejpam-4128	16	2	consider	consider	VERB
ejpam-4128	16	3	the	the	DET
ejpam-4128	16	4	following	follow	VERB
ejpam-4128	16	5	problem	problem	NOUN
ejpam-4128	16	6	:	:	PUNCT
ejpam-4128	16	7	min	min	PROPN
ejpam-4128	16	8	f(x	f(x	PROPN
ejpam-4128	16	9	)	)	PUNCT
ejpam-4128	16	10	,	,	PUNCT
ejpam-4128	16	11	x	x	PROPN
ejpam-4128	16	12	∈	∈	PROPN
ejpam-4128	16	13	rn	rn	PROPN
ejpam-4128	16	14	,	,	PUNCT
ejpam-4128	16	15	(	(	PUNCT
ejpam-4128	16	16	1	1	X
ejpam-4128	16	17	)	)	PUNCT
ejpam-4128	16	18	where	where	SCONJ
ejpam-4128	16	19	f(x)satisfies	f(x)satisfie	NOUN
ejpam-4128	16	20	the	the	DET
ejpam-4128	16	21	following	following	ADJ
ejpam-4128	16	22	assumption	assumption	NOUN
ejpam-4128	16	23	.	.	PUNCT
ejpam-4128	17	1	assumption	assumption	NOUN
ejpam-4128	17	2	1	1	NUM
ejpam-4128	17	3	a.	a.	NOUN
ejpam-4128	17	4	f	f	NOUN
ejpam-4128	17	5	:	:	PUNCT
ejpam-4128	17	6	rn	rn	PROPN
ejpam-4128	17	7	→	→	SYM
ejpam-4128	17	8	r	r	NOUN
ejpam-4128	17	9	is	be	AUX
ejpam-4128	17	10	a	a	DET
ejpam-4128	17	11	continuous	continuous	ADJ
ejpam-4128	17	12	and	and	CCONJ
ejpam-4128	17	13	differentiable	differentiable	ADJ
ejpam-4128	17	14	function	function	NOUN
ejpam-4128	17	15	,	,	PUNCT
ejpam-4128	17	16	and	and	CCONJ
ejpam-4128	17	17	the	the	DET
ejpam-4128	17	18	gradient	gradient	NOUN
ejpam-4128	17	19	is	be	AUX
ejpam-4128	17	20	available	available	ADJ
ejpam-4128	17	21	.	.	PUNCT
ejpam-4128	18	1	b.	b.	VERB
ejpam-4128	19	1	the	the	DET
ejpam-4128	19	2	level	level	NOUN
ejpam-4128	19	3	set	set	NOUN
ejpam-4128	19	4	ψ	ψ	X
ejpam-4128	19	5	=	=	SYM
ejpam-4128	19	6	{	{	PUNCT
ejpam-4128	19	7	x	x	PROPN
ejpam-4128	19	8	|f(x	|f(x	PROPN
ejpam-4128	19	9	)	)	PUNCT
ejpam-4128	19	10	≤	≤	NOUN
ejpam-4128	19	11	f(x1	f(x1	NOUN
ejpam-4128	19	12	)	)	PUNCT
ejpam-4128	19	13	}	}	PUNCT
ejpam-4128	19	14	is	be	AUX
ejpam-4128	19	15	bounded	bound	VERB
ejpam-4128	19	16	,	,	PUNCT
ejpam-4128	19	17	that	that	ADV
ejpam-4128	19	18	is	is	ADV
ejpam-4128	19	19	,	,	PUNCT
ejpam-4128	19	20	a	a	DET
ejpam-4128	19	21	positive	positive	ADJ
ejpam-4128	19	22	constant	constant	ADJ
ejpam-4128	19	23	ϑ	ϑ	NOUN
ejpam-4128	19	24	exists	exist	VERB
ejpam-4128	19	25	such	such	ADJ
ejpam-4128	19	26	that	that	SCONJ
ejpam-4128	19	27	∥x∥	∥x∥	NOUN
ejpam-4128	19	28	≤	≤	ADV
ejpam-4128	19	29	ϑ	ϑ	X
ejpam-4128	19	30	,	,	PUNCT
ejpam-4128	19	31	∀x	∀x	NOUN
ejpam-4128	19	32	∈	∈	PROPN
ejpam-4128	19	33	ψ	ψ	NOUN
ejpam-4128	19	34	.	.	PUNCT
ejpam-4128	20	1	c.	c.	NOUN
ejpam-4128	20	2	in	in	ADP
ejpam-4128	20	3	some	some	DET
ejpam-4128	20	4	neighbourhood	neighbourhood	NOUN
ejpam-4128	20	5	q	q	NOUN
ejpam-4128	20	6	of	of	ADP
ejpam-4128	20	7	ψ	ψ	PROPN
ejpam-4128	20	8	,	,	PUNCT
ejpam-4128	20	9	f	f	PROPN
ejpam-4128	20	10	is	be	AUX
ejpam-4128	20	11	continuously	continuously	ADV
ejpam-4128	20	12	differentiable	differentiable	ADJ
ejpam-4128	20	13	,	,	PUNCT
ejpam-4128	20	14	and	and	CCONJ
ejpam-4128	20	15	its	its	PRON
ejpam-4128	20	16	gradient	gradient	NOUN
ejpam-4128	20	17	is	be	AUX
ejpam-4128	20	18	lipschitz	lipschitz	NOUN
ejpam-4128	20	19	continuous	continuous	ADJ
ejpam-4128	20	20	;	;	PUNCT
ejpam-4128	20	21	that	that	ADV
ejpam-4128	20	22	is	is	ADV
ejpam-4128	20	23	,	,	PUNCT
ejpam-4128	20	24	for	for	ADP
ejpam-4128	20	25	all	all	PRON
ejpam-4128	20	26	,	,	PUNCT
ejpam-4128	20	27	x	x	PRON
ejpam-4128	20	28	,	,	PUNCT
ejpam-4128	20	29	y	y	PROPN
ejpam-4128	20	30	∈	∈	PROPN
ejpam-4128	21	1	q	q	NOUN
ejpam-4128	21	2	,	,	PUNCT
ejpam-4128	21	3	there	there	PRON
ejpam-4128	21	4	exists	exist	VERB
ejpam-4128	21	5	a	a	DET
ejpam-4128	21	6	constant	constant	ADJ
ejpam-4128	21	7	l	l	NOUN
ejpam-4128	21	8	>	>	X
ejpam-4128	21	9	0	0	NUM
ejpam-4128	21	10	such	such	ADJ
ejpam-4128	21	11	that	that	SCONJ
ejpam-4128	21	12	∥g(x)−	∥g(x)−	PROPN
ejpam-4128	21	13	g(y)∥	g(y)∥	VERB
ejpam-4128	22	1	≤	≤	NUM
ejpam-4128	22	2	l	l	NOUN
ejpam-4128	22	3	∥x−	∥x−	AUX
ejpam-4128	22	4	y∥	y∥	VERB
ejpam-4128	22	5	in	in	ADP
ejpam-4128	22	6	addition	addition	NOUN
ejpam-4128	22	7	,	,	PUNCT
ejpam-4128	22	8	from	from	ADP
ejpam-4128	22	9	assumption	assumption	NOUN
ejpam-4128	22	10	1	1	NUM
ejpam-4128	22	11	,	,	PUNCT
ejpam-4128	22	12	we	we	PRON
ejpam-4128	22	13	can	can	AUX
ejpam-4128	22	14	conclude	conclude	VERB
ejpam-4128	22	15	that	that	SCONJ
ejpam-4128	22	16	there	there	PRON
ejpam-4128	22	17	exists	exist	VERB
ejpam-4128	22	18	a	a	DET
ejpam-4128	22	19	positive	positive	ADJ
ejpam-4128	22	20	constant	constant	ADJ
ejpam-4128	22	21	b	b	NOUN
ejpam-4128	22	22	such	such	ADJ
ejpam-4128	22	23	that	that	PRON
ejpam-4128	22	24	∥g(u)∥	∥g(u)∥	VERB
ejpam-4128	22	25	≤	≤	NUM
ejpam-4128	22	26	b	b	NUM
ejpam-4128	22	27	,	,	PUNCT
ejpam-4128	22	28	∀u	∀u	NOUN
ejpam-4128	22	29	∈	∈	PROPN
ejpam-4128	22	30	n.	n.	NOUN
ejpam-4128	22	31	the	the	DET
ejpam-4128	22	32	cg	cg	NOUN
ejpam-4128	22	33	method	method	NOUN
ejpam-4128	22	34	generates	generate	VERB
ejpam-4128	22	35	a	a	DET
ejpam-4128	22	36	sequence	sequence	NOUN
ejpam-4128	22	37	of	of	ADP
ejpam-4128	22	38	xk	xk	PROPN
ejpam-4128	22	39	starting	start	VERB
ejpam-4128	22	40	from	from	ADP
ejpam-4128	22	41	the	the	DET
ejpam-4128	22	42	initial	initial	ADJ
ejpam-4128	22	43	point	point	NOUN
ejpam-4128	22	44	x1	x1	INTJ
ejpam-4128	22	45	by	by	ADP
ejpam-4128	22	46	the	the	DET
ejpam-4128	22	47	equation	equation	NOUN
ejpam-4128	22	48	xk+1	xk+1	PUNCT
ejpam-4128	23	1	=	=	SYM
ejpam-4128	23	2	xk	xk	PROPN
ejpam-4128	23	3	+	+	CCONJ
ejpam-4128	23	4	αkdk	αkdk	NOUN
ejpam-4128	23	5	,	,	PUNCT
ejpam-4128	23	6	k	k	PROPN
ejpam-4128	23	7	=	=	SYM
ejpam-4128	23	8	1	1	NUM
ejpam-4128	23	9	,	,	PUNCT
ejpam-4128	23	10	2	2	NUM
ejpam-4128	23	11	,	,	PUNCT
ejpam-4128	23	12	...	...	PUNCT
ejpam-4128	23	13	,	,	PUNCT
ejpam-4128	23	14	(	(	PUNCT
ejpam-4128	23	15	2	2	X
ejpam-4128	23	16	)	)	PUNCT
ejpam-4128	23	17	where	where	SCONJ
ejpam-4128	23	18	xk+1is	xk+1is	PROPN
ejpam-4128	23	19	the	the	DET
ejpam-4128	23	20	next	next	ADJ
ejpam-4128	23	21	iteration	iteration	NOUN
ejpam-4128	23	22	.	.	PUNCT
ejpam-4128	24	1	the	the	DET
ejpam-4128	24	2	search	search	NOUN
ejpam-4128	24	3	direction	direction	NOUN
ejpam-4128	24	4	dk	dk	PROPN
ejpam-4128	24	5	in	in	ADP
ejpam-4128	24	6	the	the	DET
ejpam-4128	24	7	cg	cg	NOUN
ejpam-4128	24	8	method	method	NOUN
ejpam-4128	24	9	is	be	AUX
ejpam-4128	24	10	defined	define	VERB
ejpam-4128	24	11	by	by	ADP
ejpam-4128	24	12	the	the	DET
ejpam-4128	24	13	following	follow	VERB
ejpam-4128	24	14	equation	equation	NOUN
ejpam-4128	24	15	dk	dk	PROPN
ejpam-4128	24	16	=	=	X
ejpam-4128	24	17	{	{	PUNCT
ejpam-4128	24	18	−gk	−gk	NOUN
ejpam-4128	24	19	,	,	PUNCT
ejpam-4128	24	20	−gk	−gk	PROPN
ejpam-4128	24	21	+	+	CCONJ
ejpam-4128	24	22	βkdk−1	βkdk−1	ADJ
ejpam-4128	24	23	,	,	PUNCT
ejpam-4128	24	24	if	if	SCONJ
ejpam-4128	24	25	k	k	PROPN
ejpam-4128	24	26	=	=	SYM
ejpam-4128	24	27	1	1	NUM
ejpam-4128	24	28	,	,	PUNCT
ejpam-4128	24	29	if	if	SCONJ
ejpam-4128	24	30	k	k	PROPN
ejpam-4128	24	31	≥	≥	NUM
ejpam-4128	24	32	2	2	NUM
ejpam-4128	24	33	,	,	PUNCT
ejpam-4128	24	34	(	(	PUNCT
ejpam-4128	24	35	3	3	X
ejpam-4128	24	36	)	)	PUNCT
ejpam-4128	24	37	where	where	SCONJ
ejpam-4128	24	38	gk	gk	PROPN
ejpam-4128	24	39	=	=	SYM
ejpam-4128	24	40	g(xk	g(xk	PROPN
ejpam-4128	24	41	)	)	PUNCT
ejpam-4128	24	42	=	=	SYM
ejpam-4128	24	43	∇f	∇f	NOUN
ejpam-4128	24	44	and	and	CCONJ
ejpam-4128	24	45	βk	βk	NOUN
ejpam-4128	24	46	is	be	AUX
ejpam-4128	24	47	known	know	VERB
ejpam-4128	24	48	as	as	ADP
ejpam-4128	24	49	the	the	DET
ejpam-4128	24	50	cg	cg	NOUN
ejpam-4128	24	51	formula	formula	NOUN
ejpam-4128	24	52	.	.	PUNCT
ejpam-4128	25	1	note	note	VERB
ejpam-4128	25	2	that	that	SCONJ
ejpam-4128	25	3	for	for	ADP
ejpam-4128	25	4	k	k	PROPN
ejpam-4128	25	5	=	=	NOUN
ejpam-4128	25	6	1,we	1,we	NUM
ejpam-4128	25	7	use	use	VERB
ejpam-4128	25	8	the	the	DET
ejpam-4128	25	9	steepest	steep	ADJ
ejpam-4128	25	10	descent	descent	NOUN
ejpam-4128	25	11	method	method	NOUN
ejpam-4128	25	12	.	.	PUNCT
ejpam-4128	26	1	to	to	PART
ejpam-4128	26	2	obtain	obtain	VERB
ejpam-4128	26	3	the	the	DET
ejpam-4128	26	4	steplength	steplength	NOUN
ejpam-4128	26	5	(	(	PUNCT
ejpam-4128	26	6	αk	αk	NOUN
ejpam-4128	26	7	)	)	PUNCT
ejpam-4128	26	8	,	,	PUNCT
ejpam-4128	26	9	we	we	PRON
ejpam-4128	26	10	have	have	VERB
ejpam-4128	26	11	the	the	DET
ejpam-4128	26	12	following	follow	VERB
ejpam-4128	26	13	two	two	NUM
ejpam-4128	26	14	-	-	PUNCT
ejpam-4128	26	15	line	line	NOUN
ejpam-4128	26	16	searches	search	NOUN
ejpam-4128	26	17	:	:	PUNCT
ejpam-4128	26	18	a	a	DET
ejpam-4128	26	19	exact	exact	ADJ
ejpam-4128	26	20	line	line	NOUN
ejpam-4128	26	21	search	search	NOUN
ejpam-4128	26	22	:	:	PUNCT
ejpam-4128	26	23	to	to	PART
ejpam-4128	26	24	find	find	VERB
ejpam-4128	26	25	the	the	DET
ejpam-4128	26	26	step	step	NOUN
ejpam-4128	26	27	size	size	NOUN
ejpam-4128	26	28	such	such	ADJ
ejpam-4128	26	29	that	that	SCONJ
ejpam-4128	26	30	the	the	DET
ejpam-4128	26	31	objective	objective	ADJ
ejpam-4128	26	32	function	function	NOUN
ejpam-4128	26	33	in	in	ADP
ejpam-4128	26	34	the	the	DET
ejpam-4128	26	35	search	search	NOUN
ejpam-4128	26	36	direction	direction	NOUN
ejpam-4128	26	37	is	be	AUX
ejpam-4128	26	38	minimized	minimize	VERB
ejpam-4128	26	39	i.e.	i.e.	X
ejpam-4128	26	40	f(xk	f(xk	PROPN
ejpam-4128	26	41	+	+	NUM
ejpam-4128	26	42	αkdk	αkdk	NOUN
ejpam-4128	26	43	)	)	PUNCT
ejpam-4128	27	1	=	=	SYM
ejpam-4128	27	2	min	min	PROPN
ejpam-4128	27	3	f(xk	f(xk	PROPN
ejpam-4128	27	4	+	+	CCONJ
ejpam-4128	27	5	αdk	αdk	NOUN
ejpam-4128	27	6	)	)	PUNCT
ejpam-4128	27	7	,	,	PUNCT
ejpam-4128	27	8	α	α	PRON
ejpam-4128	27	9	≥	≥	NOUN
ejpam-4128	27	10	0	0	NUM
ejpam-4128	27	11	.	.	PUNCT
ejpam-4128	28	1	however	however	ADV
ejpam-4128	28	2	,	,	PUNCT
ejpam-4128	28	3	exact	exact	ADJ
ejpam-4128	28	4	optimal	optimal	ADJ
ejpam-4128	28	5	step	step	NOUN
ejpam-4128	28	6	size	size	NOUN
ejpam-4128	28	7	generally	generally	ADV
ejpam-4128	28	8	can	can	AUX
ejpam-4128	28	9	not	not	PART
ejpam-4128	28	10	be	be	AUX
ejpam-4128	28	11	found	find	VERB
ejpam-4128	28	12	,	,	PUNCT
ejpam-4128	28	13	and	and	CCONJ
ejpam-4128	28	14	it	it	PRON
ejpam-4128	28	15	is	be	AUX
ejpam-4128	28	16	expensive	expensive	ADJ
ejpam-4128	28	17	to	to	PART
ejpam-4128	28	18	find	find	VERB
ejpam-4128	28	19	almost	almost	ADV
ejpam-4128	28	20	exact	exact	ADJ
ejpam-4128	28	21	step	step	NOUN
ejpam-4128	28	22	size	size	NOUN
ejpam-4128	28	23	[	[	X
ejpam-4128	28	24	29	29	NUM
ejpam-4128	28	25	]	]	PUNCT
ejpam-4128	28	26	.	.	PUNCT
ejpam-4128	29	1	thus	thus	ADV
ejpam-4128	29	2	,	,	PUNCT
ejpam-4128	29	3	we	we	PRON
ejpam-4128	29	4	use	use	VERB
ejpam-4128	29	5	inexact	inexact	ADJ
ejpam-4128	29	6	line	line	NOUN
ejpam-4128	29	7	search	search	NOUN
ejpam-4128	29	8	,	,	PUNCT
ejpam-4128	29	9	as	as	SCONJ
ejpam-4128	29	10	discussed	discuss	VERB
ejpam-4128	29	11	in	in	ADP
ejpam-4128	29	12	part	part	PROPN
ejpam-4128	29	13	b.	b.	PROPN
ejpam-4128	29	14	b	b	PROPN
ejpam-4128	29	15	inexact	inexact	ADJ
ejpam-4128	29	16	line	line	NOUN
ejpam-4128	29	17	search	search	NOUN
ejpam-4128	29	18	s.	s.	PROPN
ejpam-4128	29	19	ismail	ismail	PROPN
ejpam-4128	29	20	et	et	PROPN
ejpam-4128	29	21	al	al	PROPN
ejpam-4128	29	22	.	.	PUNCT
ejpam-4128	29	23	/	/	SYM
ejpam-4128	29	24	eur	eur	PROPN
ejpam-4128	29	25	.	.	PUNCT
ejpam-4128	30	1	j.	j.	PROPN
ejpam-4128	30	2	pure	pure	PROPN
ejpam-4128	30	3	appl	appl	PROPN
ejpam-4128	30	4	.	.	PROPN
ejpam-4128	30	5	math	math	PROPN
ejpam-4128	30	6	,	,	PUNCT
ejpam-4128	30	7	14	14	NUM
ejpam-4128	30	8	(	(	PUNCT
ejpam-4128	30	9	4	4	NUM
ejpam-4128	30	10	)	)	PUNCT
ejpam-4128	30	11	(	(	PUNCT
ejpam-4128	30	12	2021	2021	NUM
ejpam-4128	30	13	)	)	PUNCT
ejpam-4128	30	14	,	,	PUNCT
ejpam-4128	30	15	1429	1429	NUM
ejpam-4128	30	16	-	-	SYM
ejpam-4128	30	17	1456	1456	NUM
ejpam-4128	30	18	1431	1431	NUM
ejpam-4128	30	19	to	to	PART
ejpam-4128	30	20	avoid	avoid	VERB
ejpam-4128	30	21	expensive	expensive	ADJ
ejpam-4128	30	22	computational	computational	ADJ
ejpam-4128	30	23	to	to	PART
ejpam-4128	30	24	obtain	obtain	VERB
ejpam-4128	30	25	the	the	DET
ejpam-4128	30	26	step	step	NOUN
ejpam-4128	30	27	size	size	NOUN
ejpam-4128	30	28	by	by	ADP
ejpam-4128	30	29	exact	exact	ADJ
ejpam-4128	30	30	line	line	NOUN
ejpam-4128	30	31	search	search	NOUN
ejpam-4128	30	32	,	,	PUNCT
ejpam-4128	30	33	we	we	PRON
ejpam-4128	30	34	use	use	VERB
ejpam-4128	30	35	inexact	inexact	ADJ
ejpam-4128	30	36	line	line	NOUN
ejpam-4128	30	37	search	search	NOUN
ejpam-4128	30	38	.	.	PUNCT
ejpam-4128	31	1	here	here	ADV
ejpam-4128	31	2	,	,	PUNCT
ejpam-4128	31	3	the	the	DET
ejpam-4128	31	4	most	most	ADV
ejpam-4128	31	5	popular	popular	ADJ
ejpam-4128	31	6	inexact	inexact	ADJ
ejpam-4128	31	7	line	line	NOUN
ejpam-4128	31	8	search	search	NOUN
ejpam-4128	31	9	is	be	AUX
ejpam-4128	31	10	wolfe	wolfe	PROPN
ejpam-4128	31	11	powell	powell	PROPN
ejpam-4128	31	12	(	(	PUNCT
ejpam-4128	31	13	wp	wp	PROPN
ejpam-4128	31	14	)	)	PUNCT
ejpam-4128	31	15	line	line	NOUN
ejpam-4128	31	16	search	search	NOUN
ejpam-4128	31	17	,	,	PUNCT
ejpam-4128	31	18	which	which	PRON
ejpam-4128	31	19	is	be	AUX
ejpam-4128	31	20	divided	divide	VERB
ejpam-4128	31	21	into	into	ADP
ejpam-4128	31	22	two	two	NUM
ejpam-4128	31	23	parts	part	NOUN
ejpam-4128	31	24	:	:	PUNCT
ejpam-4128	31	25	b1the	b1the	DET
ejpam-4128	31	26	first	first	ADJ
ejpam-4128	31	27	part	part	NOUN
ejpam-4128	31	28	is	be	AUX
ejpam-4128	31	29	weak	weak	ADJ
ejpam-4128	31	30	wolfe	wolfe	PROPN
ejpam-4128	31	31	powell	powell	PROPN
ejpam-4128	31	32	(	(	PUNCT
ejpam-4128	31	33	wwp	wwp	PROPN
ejpam-4128	31	34	)	)	PUNCT
ejpam-4128	32	1	[	[	X
ejpam-4128	32	2	30	30	NUM
ejpam-4128	32	3	,	,	PUNCT
ejpam-4128	32	4	31	31	NUM
ejpam-4128	32	5	]	]	PUNCT
ejpam-4128	32	6	and	and	CCONJ
ejpam-4128	32	7	is	be	AUX
ejpam-4128	32	8	given	give	VERB
ejpam-4128	32	9	by	by	ADP
ejpam-4128	32	10	the	the	DET
ejpam-4128	32	11	following	follow	VERB
ejpam-4128	32	12	equations	equation	NOUN
ejpam-4128	32	13	:	:	PUNCT
ejpam-4128	32	14	f(xk	f(xk	PROPN
ejpam-4128	32	15	+	+	NUM
ejpam-4128	32	16	αkdk	αkdk	NOUN
ejpam-4128	32	17	)	)	PUNCT
ejpam-4128	32	18	≤	≤	NUM
ejpam-4128	32	19	f(xk	f(xk	PROPN
ejpam-4128	32	20	)	)	PUNCT
ejpam-4128	32	21	+	+	CCONJ
ejpam-4128	33	1	δαkg	δαkg	NOUN
ejpam-4128	33	2	t	t	PROPN
ejpam-4128	33	3	k	k	PROPN
ejpam-4128	33	4	dk	dk	PROPN
ejpam-4128	33	5	,	,	PUNCT
ejpam-4128	33	6	g(xk	g(xk	PROPN
ejpam-4128	33	7	+	+	CCONJ
ejpam-4128	33	8	αkdk	αkdk	NOUN
ejpam-4128	33	9	)	)	PUNCT
ejpam-4128	33	10	tdk	tdk	NOUN
ejpam-4128	33	11	≥	≥	PROPN
ejpam-4128	33	12	σ	σ	PROPN
ejpam-4128	33	13	gtk	gtk	PROPN
ejpam-4128	33	14	dk	dk	PROPN
ejpam-4128	33	15	.	.	PUNCT
ejpam-4128	34	1	(	(	PUNCT
ejpam-4128	34	2	4	4	X
ejpam-4128	34	3	)	)	PUNCT
ejpam-4128	34	4	b2the	b2the	DET
ejpam-4128	34	5	second	second	ADJ
ejpam-4128	34	6	part	part	NOUN
ejpam-4128	34	7	is	be	AUX
ejpam-4128	34	8	strong	strong	ADJ
ejpam-4128	34	9	wolfe	wolfe	PROPN
ejpam-4128	34	10	powell	powell	PROPN
ejpam-4128	34	11	(	(	PUNCT
ejpam-4128	34	12	swp	swp	PROPN
ejpam-4128	34	13	)	)	PUNCT
ejpam-4128	34	14	line	line	NOUN
ejpam-4128	34	15	search	search	NOUN
ejpam-4128	34	16	,	,	PUNCT
ejpam-4128	34	17	which	which	PRON
ejpam-4128	34	18	is	be	AUX
ejpam-4128	34	19	defined	define	VERB
ejpam-4128	34	20	by	by	ADP
ejpam-4128	34	21	equation	equation	NOUN
ejpam-4128	34	22	(	(	PUNCT
ejpam-4128	34	23	4	4	NUM
ejpam-4128	34	24	)	)	PUNCT
ejpam-4128	34	25	and	and	CCONJ
ejpam-4128	34	26	|g(xk	|g(xk	PROPN
ejpam-4128	34	27	+	+	SYM
ejpam-4128	34	28	αkdk	αkdk	NOUN
ejpam-4128	34	29	)	)	PUNCT
ejpam-4128	34	30	tdk|	tdk|	NOUN
ejpam-4128	34	31	≤	≤	NUM
ejpam-4128	34	32	σ	σ	NOUN
ejpam-4128	34	33	∣∣gtk	∣∣gtk	NUM
ejpam-4128	34	34	dk∣∣	dk∣∣	NOUN
ejpam-4128	34	35	,	,	PUNCT
ejpam-4128	34	36	(	(	PUNCT
ejpam-4128	34	37	5	5	NUM
ejpam-4128	34	38	)	)	PUNCT
ejpam-4128	34	39	where	where	SCONJ
ejpam-4128	34	40	0	0	NUM
ejpam-4128	34	41	<	<	X
ejpam-4128	34	42	δ	δ	X
ejpam-4128	34	43	<	<	X
ejpam-4128	34	44	σ	σ	X
ejpam-4128	34	45	<	<	X
ejpam-4128	34	46	1	1	NUM
ejpam-4128	34	47	.	.	PUNCT
ejpam-4128	35	1	the	the	DET
ejpam-4128	35	2	most	most	ADV
ejpam-4128	35	3	well	well	ADV
ejpam-4128	35	4	known	know	VERB
ejpam-4128	35	5	classical	classical	ADJ
ejpam-4128	35	6	cg	cg	NOUN
ejpam-4128	35	7	formulas	formula	NOUN
ejpam-4128	35	8	are	be	AUX
ejpam-4128	35	9	hestenses	hestense	NOUN
ejpam-4128	35	10	–	–	PUNCT
ejpam-4128	35	11	stiefel	stiefel	NOUN
ejpam-4128	35	12	(	(	PUNCT
ejpam-4128	35	13	hs)[19	hs)[19	NOUN
ejpam-4128	35	14	]	]	X
ejpam-4128	35	15	,	,	PUNCT
ejpam-4128	35	16	polak	polak	PROPN
ejpam-4128	35	17	–	–	PUNCT
ejpam-4128	35	18	ribiere	ribiere	X
ejpam-4128	35	19	–	–	PUNCT
ejpam-4128	35	20	polyak	polyak	NOUN
ejpam-4128	35	21	(	(	PUNCT
ejpam-4128	35	22	prp)[25	prp)[25	PROPN
ejpam-4128	35	23	]	]	X
ejpam-4128	35	24	,	,	PUNCT
ejpam-4128	35	25	liu	liu	PROPN
ejpam-4128	35	26	and	and	CCONJ
ejpam-4128	35	27	storey	storey	PROPN
ejpam-4128	35	28	(	(	PUNCT
ejpam-4128	35	29	ls)[23	ls)[23	PROPN
ejpam-4128	35	30	]	]	PUNCT
ejpam-4128	35	31	,	,	PUNCT
ejpam-4128	35	32	fletcher	fletcher	PROPN
ejpam-4128	35	33	–	–	PUNCT
ejpam-4128	35	34	reeves(fr)[14	reeves(fr)[14	PROPN
ejpam-4128	35	35	]	]	PUNCT
ejpam-4128	35	36	,	,	PUNCT
ejpam-4128	35	37	fletcher	fletcher	PROPN
ejpam-4128	35	38	(	(	PUNCT
ejpam-4128	35	39	cd)[13	cd)[13	NOUN
ejpam-4128	35	40	]	]	X
ejpam-4128	35	41	,	,	PUNCT
ejpam-4128	35	42	dai	dai	PROPN
ejpam-4128	35	43	and	and	CCONJ
ejpam-4128	35	44	yuan	yuan	PROPN
ejpam-4128	35	45	(	(	PUNCT
ejpam-4128	35	46	dy)[11	dy)[11	NOUN
ejpam-4128	35	47	]	]	X
ejpam-4128	35	48	,	,	PUNCT
ejpam-4128	35	49	and	and	CCONJ
ejpam-4128	35	50	these	these	DET
ejpam-4128	35	51	formulas	formula	NOUN
ejpam-4128	35	52	are	be	AUX
ejpam-4128	35	53	given	give	VERB
ejpam-4128	35	54	as	as	SCONJ
ejpam-4128	35	55	follows	follow	VERB
ejpam-4128	35	56	:	:	PUNCT
ejpam-4128	35	57	βhs	βhs	NOUN
ejpam-4128	35	58	k	k	PROPN
ejpam-4128	35	59	=	=	SYM
ejpam-4128	35	60	gtk	gtk	VERB
ejpam-4128	35	61	yk−1	yk−1	PROPN
ejpam-4128	35	62	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	35	63	,	,	PUNCT
ejpam-4128	35	64	βprp	βprp	ADJ
ejpam-4128	35	65	k	k	NOUN
ejpam-4128	35	66	=	=	SYM
ejpam-4128	35	67	gtk	gtk	NOUN
ejpam-4128	35	68	yk−1	yk−1	PROPN
ejpam-4128	35	69	∥gk−1∥2	∥gk−1∥2	NOUN
ejpam-4128	35	70	,	,	PUNCT
ejpam-4128	35	71	βls	βls	NOUN
ejpam-4128	35	72	k	k	NOUN
ejpam-4128	36	1	=	=	PUNCT
ejpam-4128	36	2	−	−	PROPN
ejpam-4128	36	3	gtk	gtk	NOUN
ejpam-4128	36	4	yk−1	yk−1	PROPN
ejpam-4128	36	5	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	36	6	,	,	PUNCT
ejpam-4128	36	7	βfr	βfr	PROPN
ejpam-4128	36	8	k	k	X
ejpam-4128	36	9	=	=	PUNCT
ejpam-4128	36	10	∥gk∥2	∥gk∥2	PROPN
ejpam-4128	36	11	∥gk−1∥2	∥gk−1∥2	NOUN
ejpam-4128	36	12	,	,	PUNCT
ejpam-4128	36	13	βcd	βcd	NOUN
ejpam-4128	36	14	k	k	NOUN
ejpam-4128	36	15	=	=	PUNCT
ejpam-4128	37	1	−	−	PROPN
ejpam-4128	37	2	∥gk∥2	∥gk∥2	NUM
ejpam-4128	37	3	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	37	4	,	,	PUNCT
ejpam-4128	37	5	βdy	βdy	NOUN
ejpam-4128	37	6	k	k	NOUN
ejpam-4128	38	1	=	=	PUNCT
ejpam-4128	38	2	∥gk∥2	∥gk∥2	NUM
ejpam-4128	38	3	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	38	4	,	,	PUNCT
ejpam-4128	38	5	where	where	SCONJ
ejpam-4128	38	6	yk−1	yk−1	PROPN
ejpam-4128	38	7	=	=	PUNCT
ejpam-4128	38	8	gk	gk	PROPN
ejpam-4128	38	9	−	−	PROPN
ejpam-4128	38	10	gk−1	gk−1	PROPN
ejpam-4128	38	11	.	.	PUNCT
ejpam-4128	39	1	the	the	DET
ejpam-4128	39	2	global	global	ADJ
ejpam-4128	39	3	convergence	convergence	NOUN
ejpam-4128	39	4	properties	property	NOUN
ejpam-4128	39	5	of	of	ADP
ejpam-4128	39	6	the	the	DET
ejpam-4128	39	7	fr	fr	ADJ
ejpam-4128	39	8	method	method	NOUN
ejpam-4128	39	9	were	be	AUX
ejpam-4128	39	10	studied	study	VERB
ejpam-4128	39	11	by	by	ADP
ejpam-4128	39	12	zoutendijk	zoutendijk	X
ejpam-4128	40	1	[	[	X
ejpam-4128	40	2	33	33	NUM
ejpam-4128	40	3	]	]	PUNCT
ejpam-4128	40	4	and	and	CCONJ
ejpam-4128	40	5	al	al	PROPN
ejpam-4128	40	6	-	-	PUNCT
ejpam-4128	40	7	baali	baali	PROPN
ejpam-4128	41	1	[	[	X
ejpam-4128	41	2	5	5	NUM
ejpam-4128	41	3	]	]	PUNCT
ejpam-4128	41	4	.	.	PUNCT
ejpam-4128	42	1	the	the	DET
ejpam-4128	42	2	global	global	ADJ
ejpam-4128	42	3	convergence	convergence	NOUN
ejpam-4128	42	4	of	of	ADP
ejpam-4128	42	5	the	the	DET
ejpam-4128	42	6	prp	prp	NOUN
ejpam-4128	42	7	method	method	NOUN
ejpam-4128	42	8	for	for	ADP
ejpam-4128	42	9	convex	convex	NOUN
ejpam-4128	42	10	objective	objective	ADJ
ejpam-4128	42	11	function	function	NOUN
ejpam-4128	42	12	under	under	ADP
ejpam-4128	42	13	exact	exact	ADJ
ejpam-4128	42	14	line	line	NOUN
ejpam-4128	42	15	search	search	NOUN
ejpam-4128	42	16	was	be	AUX
ejpam-4128	42	17	proved	prove	VERB
ejpam-4128	42	18	by	by	ADP
ejpam-4128	42	19	polak	polak	PROPN
ejpam-4128	42	20	and	and	CCONJ
ejpam-4128	42	21	ribere	ribere	VERB
ejpam-4128	42	22	in	in	ADP
ejpam-4128	42	23	[	[	X
ejpam-4128	42	24	25	25	NUM
ejpam-4128	42	25	]	]	PUNCT
ejpam-4128	42	26	.	.	PUNCT
ejpam-4128	43	1	later	later	ADV
ejpam-4128	43	2	,	,	PUNCT
ejpam-4128	43	3	powell	powell	PROPN
ejpam-4128	44	1	[	[	X
ejpam-4128	44	2	26	26	NUM
ejpam-4128	44	3	]	]	PUNCT
ejpam-4128	44	4	gave	give	VERB
ejpam-4128	44	5	out	out	ADP
ejpam-4128	44	6	a	a	DET
ejpam-4128	44	7	counterexample	counterexample	NOUN
ejpam-4128	44	8	showing	show	VERB
ejpam-4128	44	9	that	that	SCONJ
ejpam-4128	44	10	there	there	PRON
ejpam-4128	44	11	exists	exist	VERB
ejpam-4128	44	12	a	a	DET
ejpam-4128	44	13	non	non	ADJ
ejpam-4128	44	14	-	-	ADJ
ejpam-4128	44	15	convex	convex	ADJ
ejpam-4128	44	16	function	function	NOUN
ejpam-4128	44	17	,	,	PUNCT
ejpam-4128	44	18	where	where	SCONJ
ejpam-4128	44	19	prp	prp	PROPN
ejpam-4128	44	20	and	and	CCONJ
ejpam-4128	44	21	hs	hs	PROPN
ejpam-4128	44	22	cg	cg	NOUN
ejpam-4128	44	23	methods	method	NOUN
ejpam-4128	44	24	can	can	AUX
ejpam-4128	44	25	cycle	cycle	VERB
ejpam-4128	44	26	infinitely	infinitely	ADV
ejpam-4128	44	27	without	without	ADP
ejpam-4128	44	28	getting	get	VERB
ejpam-4128	44	29	a	a	DET
ejpam-4128	44	30	solution	solution	NOUN
ejpam-4128	44	31	.	.	PUNCT
ejpam-4128	45	1	therefore	therefore	ADV
ejpam-4128	45	2	,	,	PUNCT
ejpam-4128	45	3	powell	powell	PROPN
ejpam-4128	45	4	suggested	suggest	VERB
ejpam-4128	45	5	the	the	DET
ejpam-4128	45	6	importance	importance	NOUN
ejpam-4128	45	7	of	of	ADP
ejpam-4128	45	8	achieving	achieve	VERB
ejpam-4128	45	9	the	the	DET
ejpam-4128	45	10	global	global	ADJ
ejpam-4128	45	11	convergence	convergence	NOUN
ejpam-4128	45	12	of	of	ADP
ejpam-4128	45	13	prp	prp	PROPN
ejpam-4128	45	14	and	and	CCONJ
ejpam-4128	45	15	hs	hs	PROPN
ejpam-4128	45	16	methods	method	NOUN
ejpam-4128	45	17	,	,	PUNCT
ejpam-4128	45	18	which	which	PRON
ejpam-4128	45	19	should	should	AUX
ejpam-4128	45	20	be	be	AUX
ejpam-4128	45	21	non	non	ADJ
ejpam-4128	45	22	-	-	ADJ
ejpam-4128	45	23	negative	negative	ADJ
ejpam-4128	45	24	.	.	PUNCT
ejpam-4128	46	1	meanwhile	meanwhile	ADV
ejpam-4128	46	2	,	,	PUNCT
ejpam-4128	46	3	gilbert	gilbert	PROPN
ejpam-4128	46	4	and	and	CCONJ
ejpam-4128	46	5	nocedal	nocedal	ADJ
ejpam-4128	46	6	[	[	X
ejpam-4128	46	7	15	15	NUM
ejpam-4128	46	8	]	]	PUNCT
ejpam-4128	46	9	proved	prove	VERB
ejpam-4128	46	10	that	that	SCONJ
ejpam-4128	46	11	nonnegative	nonnegative	ADJ
ejpam-4128	46	12	prp	prp	NOUN
ejpam-4128	46	13	,	,	PUNCT
ejpam-4128	46	14	i.e.	i.e.	X
ejpam-4128	46	15	βk	βk	ADP
ejpam-4128	46	16	=	=	PROPN
ejpam-4128	46	17	max{βprp	max{βprp	PROPN
ejpam-4128	46	18	k	k	PROPN
ejpam-4128	46	19	,	,	PUNCT
ejpam-4128	46	20	0	0	NUM
ejpam-4128	46	21	}	}	PUNCT
ejpam-4128	46	22	,	,	PUNCT
ejpam-4128	46	23	is	be	AUX
ejpam-4128	46	24	globally	globally	ADV
ejpam-4128	46	25	convergent	convergent	ADJ
ejpam-4128	46	26	under	under	ADP
ejpam-4128	46	27	complicated	complicated	ADJ
ejpam-4128	46	28	line	line	NOUN
ejpam-4128	46	29	searches	search	NOUN
ejpam-4128	46	30	.	.	PUNCT
ejpam-4128	47	1	alhawarat	alhawarat	PROPN
ejpam-4128	47	2	et	et	PROPN
ejpam-4128	47	3	al	al	PROPN
ejpam-4128	47	4	.	.	PUNCT
ejpam-4128	48	1	[	[	X
ejpam-4128	48	2	2	2	NUM
ejpam-4128	48	3	]	]	PUNCT
ejpam-4128	48	4	also	also	ADV
ejpam-4128	48	5	proposed	propose	VERB
ejpam-4128	48	6	the	the	DET
ejpam-4128	48	7	following	follow	VERB
ejpam-4128	48	8	non	non	ADJ
ejpam-4128	48	9	-	-	ADJ
ejpam-4128	48	10	negative	negative	ADJ
ejpam-4128	48	11	cg	cg	NOUN
ejpam-4128	48	12	formula	formula	NOUN
ejpam-4128	48	13	with	with	ADP
ejpam-4128	48	14	new	new	ADJ
ejpam-4128	48	15	restart	restart	NOUN
ejpam-4128	48	16	property	property	NOUN
ejpam-4128	48	17	as	as	SCONJ
ejpam-4128	48	18	follows	follow	VERB
ejpam-4128	48	19	βazprp	βazprp	PROPN
ejpam-4128	48	20	k	k	PROPN
ejpam-4128	49	1	=	=	X
ejpam-4128	49	2	{	{	PUNCT
ejpam-4128	49	3	∥gk∥2−µk|gtk	∥gk∥2−µk|gtk	PRON
ejpam-4128	49	4	gk−1|	gk−1|	VERB
ejpam-4128	49	5	∥gk−1∥2	∥gk−1∥2	ADV
ejpam-4128	49	6	,	,	PUNCT
ejpam-4128	49	7	if	if	SCONJ
ejpam-4128	49	8	∥gk∥2	∥gk∥2	PROPN
ejpam-4128	49	9	>	>	X
ejpam-4128	49	10	µk	µk	PRON
ejpam-4128	49	11	∣∣gtk	∣∣gtk	NUM
ejpam-4128	49	12	gk−1	gk−1	PROPN
ejpam-4128	49	13	∣∣	∣∣	NUM
ejpam-4128	49	14	,	,	PUNCT
ejpam-4128	49	15	0	0	NUM
ejpam-4128	49	16	,	,	PUNCT
ejpam-4128	49	17	otherwise	otherwise	ADV
ejpam-4128	49	18	,	,	PUNCT
ejpam-4128	49	19	where	where	SCONJ
ejpam-4128	49	20	∥·∥	∥·∥	PROPN
ejpam-4128	49	21	represents	represent	VERB
ejpam-4128	49	22	the	the	DET
ejpam-4128	49	23	euclidean	euclidean	ADJ
ejpam-4128	49	24	norm	norm	NOUN
ejpam-4128	49	25	,	,	PUNCT
ejpam-4128	49	26	while	while	SCONJ
ejpam-4128	49	27	µk	µk	NOUN
ejpam-4128	49	28	is	be	AUX
ejpam-4128	49	29	defined	define	VERB
ejpam-4128	49	30	as	as	SCONJ
ejpam-4128	49	31	follows	follow	VERB
ejpam-4128	49	32	:	:	PUNCT
ejpam-4128	49	33	µk	µk	PROPN
ejpam-4128	49	34	=	=	SYM
ejpam-4128	49	35	∥xk	∥xk	PROPN
ejpam-4128	50	1	−	−	PROPN
ejpam-4128	51	1	xk−1∥	xk−1∥	PROPN
ejpam-4128	51	2	∥yk−1∥	∥yk−1∥	NOUN
ejpam-4128	51	3	.	.	PUNCT
ejpam-4128	52	1	furthermore	furthermore	ADV
ejpam-4128	52	2	,	,	PUNCT
ejpam-4128	52	3	dai	dai	PROPN
ejpam-4128	52	4	and	and	CCONJ
ejpam-4128	52	5	liao	liao	PROPN
ejpam-4128	52	6	[	[	X
ejpam-4128	52	7	10	10	NUM
ejpam-4128	52	8	]	]	PUNCT
ejpam-4128	52	9	proposed	propose	VERB
ejpam-4128	52	10	the	the	DET
ejpam-4128	52	11	following	follow	VERB
ejpam-4128	52	12	cg	cg	NOUN
ejpam-4128	52	13	formula	formula	NOUN
ejpam-4128	52	14	with	with	ADP
ejpam-4128	52	15	a	a	DET
ejpam-4128	52	16	new	new	ADJ
ejpam-4128	52	17	conjugacy	conjugacy	ADJ
ejpam-4128	52	18	condition	condition	NOUN
ejpam-4128	52	19	as	as	SCONJ
ejpam-4128	52	20	follows	follow	VERB
ejpam-4128	52	21	:	:	PUNCT
ejpam-4128	52	22	s.	s.	PROPN
ejpam-4128	52	23	ismail	ismail	PROPN
ejpam-4128	52	24	et	et	PROPN
ejpam-4128	52	25	al	al	PROPN
ejpam-4128	52	26	.	.	PUNCT
ejpam-4128	52	27	/	/	SYM
ejpam-4128	52	28	eur	eur	PROPN
ejpam-4128	52	29	.	.	PUNCT
ejpam-4128	53	1	j.	j.	PROPN
ejpam-4128	53	2	pure	pure	PROPN
ejpam-4128	53	3	appl	appl	PROPN
ejpam-4128	53	4	.	.	PROPN
ejpam-4128	53	5	math	math	PROPN
ejpam-4128	53	6	,	,	PUNCT
ejpam-4128	53	7	14	14	NUM
ejpam-4128	53	8	(	(	PUNCT
ejpam-4128	53	9	4	4	NUM
ejpam-4128	53	10	)	)	PUNCT
ejpam-4128	53	11	(	(	PUNCT
ejpam-4128	53	12	2021	2021	NUM
ejpam-4128	53	13	)	)	PUNCT
ejpam-4128	53	14	,	,	PUNCT
ejpam-4128	53	15	1429	1429	NUM
ejpam-4128	53	16	-	-	SYM
ejpam-4128	53	17	1456	1456	NUM
ejpam-4128	53	18	1432	1432	NUM
ejpam-4128	53	19	βdl	βdl	ADP
ejpam-4128	53	20	k	k	NOUN
ejpam-4128	53	21	=	=	SYM
ejpam-4128	53	22	gtk	gtk	VERB
ejpam-4128	53	23	yk−1	yk−1	PROPN
ejpam-4128	53	24	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	53	25	−	−	PROPN
ejpam-4128	53	26	t	t	NOUN
ejpam-4128	53	27	gtk	gtk	NOUN
ejpam-4128	53	28	sk−1	sk−1	ADJ
ejpam-4128	53	29	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	54	1	=	=	PUNCT
ejpam-4128	54	2	βhs	βhs	NOUN
ejpam-4128	54	3	k	k	PROPN
ejpam-4128	55	1	−	−	PROPN
ejpam-4128	55	2	t	t	PROPN
ejpam-4128	55	3	gtk	gtk	NOUN
ejpam-4128	55	4	sk−1	sk−1	PROPN
ejpam-4128	55	5	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	55	6	.	.	PUNCT
ejpam-4128	56	1	(	(	PUNCT
ejpam-4128	56	2	6	6	NUM
ejpam-4128	56	3	)	)	PUNCT
ejpam-4128	56	4	in	in	ADP
ejpam-4128	56	5	addition	addition	NOUN
ejpam-4128	56	6	,	,	PUNCT
ejpam-4128	56	7	hager	hager	NOUN
ejpam-4128	56	8	and	and	CCONJ
ejpam-4128	56	9	zhang	zhang	PROPN
ejpam-4128	57	1	[	[	X
ejpam-4128	57	2	17	17	NUM
ejpam-4128	57	3	,	,	PUNCT
ejpam-4128	57	4	18	18	NUM
ejpam-4128	57	5	]	]	PUNCT
ejpam-4128	57	6	presented	present	VERB
ejpam-4128	57	7	the	the	DET
ejpam-4128	57	8	following	follow	VERB
ejpam-4128	57	9	cg	cg	NOUN
ejpam-4128	57	10	formula	formula	NOUN
ejpam-4128	57	11	based	base	VERB
ejpam-4128	57	12	on	on	ADP
ejpam-4128	57	13	equation	equation	NOUN
ejpam-4128	57	14	(	(	PUNCT
ejpam-4128	57	15	6	6	NUM
ejpam-4128	57	16	)	)	PUNCT
ejpam-4128	57	17	given	give	VERB
ejpam-4128	57	18	by	by	ADP
ejpam-4128	57	19	βhz	βhz	NOUN
ejpam-4128	57	20	k	k	X
ejpam-4128	57	21	=	=	SYM
ejpam-4128	57	22	max	max	PROPN
ejpam-4128	57	23	{	{	PUNCT
ejpam-4128	57	24	βn	βn	PROPN
ejpam-4128	57	25	k	k	PROPN
ejpam-4128	57	26	,	,	PUNCT
ejpam-4128	57	27	ηk	ηk	PROPN
ejpam-4128	57	28	}	}	PUNCT
ejpam-4128	57	29	,	,	PUNCT
ejpam-4128	57	30	(	(	PUNCT
ejpam-4128	57	31	7	7	X
ejpam-4128	57	32	)	)	PUNCT
ejpam-4128	57	33	where	where	SCONJ
ejpam-4128	57	34	βn	βn	PUNCT
ejpam-4128	57	35	k	k	PROPN
ejpam-4128	57	36	=	=	SYM
ejpam-4128	57	37	1	1	NUM
ejpam-4128	57	38	dtk	dtk	PROPN
ejpam-4128	57	39	yk	yk	PROPN
ejpam-4128	57	40	(	(	PUNCT
ejpam-4128	57	41	yk	yk	PROPN
ejpam-4128	57	42	−	−	PROPN
ejpam-4128	57	43	2dk	2dk	PROPN
ejpam-4128	57	44	∥yk∥2	∥yk∥2	PROPN
ejpam-4128	57	45	dtk	dtk	PROPN
ejpam-4128	57	46	yk	yk	PROPN
ejpam-4128	57	47	)	)	PUNCT
ejpam-4128	57	48	t	t	PROPN
ejpam-4128	57	49	gk	gk	PROPN
ejpam-4128	57	50	,	,	PUNCT
ejpam-4128	57	51	ηk	ηk	PROPN
ejpam-4128	57	52	=	=	SYM
ejpam-4128	57	53	−	−	PROPN
ejpam-4128	57	54	1	1	NUM
ejpam-4128	57	55	∥dk∥	∥dk∥	NOUN
ejpam-4128	57	56	min{η	min{η	ADJ
ejpam-4128	57	57	,	,	PUNCT
ejpam-4128	57	58	∥gk∥	∥gk∥	NUM
ejpam-4128	57	59	}	}	PUNCT
ejpam-4128	57	60	,	,	PUNCT
ejpam-4128	57	61	and	and	CCONJ
ejpam-4128	57	62	η	η	PROPN
ejpam-4128	57	63	>	>	X
ejpam-4128	57	64	0	0	NUM
ejpam-4128	57	65	is	be	AUX
ejpam-4128	57	66	a	a	DET
ejpam-4128	57	67	constant	constant	ADJ
ejpam-4128	57	68	.	.	PUNCT
ejpam-4128	58	1	note	note	VERB
ejpam-4128	58	2	that	that	SCONJ
ejpam-4128	58	3	if	if	SCONJ
ejpam-4128	58	4	t	t	NOUN
ejpam-4128	58	5	=	=	SYM
ejpam-4128	58	6	2∥yk∥2	2∥yk∥2	NUM
ejpam-4128	58	7	stk	stk	PROPN
ejpam-4128	58	8	yk	yk	PROPN
ejpam-4128	58	9	,	,	PUNCT
ejpam-4128	58	10	then	then	ADV
ejpam-4128	58	11	βn	βn	VERB
ejpam-4128	59	1	k	k	PROPN
ejpam-4128	59	2	=	=	SYM
ejpam-4128	59	3	βdy	βdy	PROPN
ejpam-4128	60	1	k	k	PROPN
ejpam-4128	60	2	.	.	PUNCT
ejpam-4128	61	1	alhawarat	alhawarat	PROPN
ejpam-4128	61	2	et	et	PROPN
ejpam-4128	61	3	al	al	PROPN
ejpam-4128	61	4	.	.	PUNCT
ejpam-4128	62	1	[	[	X
ejpam-4128	62	2	1	1	X
ejpam-4128	62	3	]	]	PUNCT
ejpam-4128	62	4	also	also	ADV
ejpam-4128	62	5	presented	present	VERB
ejpam-4128	62	6	a	a	DET
ejpam-4128	62	7	four	four	NUM
ejpam-4128	62	8	-	-	PUNCT
ejpam-4128	62	9	term	term	NOUN
ejpam-4128	62	10	cg	cg	NOUN
ejpam-4128	62	11	method	method	NOUN
ejpam-4128	62	12	based	base	VERB
ejpam-4128	62	13	on	on	ADP
ejpam-4128	62	14	equation	equation	NOUN
ejpam-4128	62	15	(	(	PUNCT
ejpam-4128	62	16	6	6	NUM
ejpam-4128	62	17	)	)	PUNCT
ejpam-4128	62	18	as	as	SCONJ
ejpam-4128	62	19	follows	follow	VERB
ejpam-4128	62	20	:	:	PUNCT
ejpam-4128	62	21	dftcghs	dftcgh	NOUN
ejpam-4128	62	22	k	k	NOUN
ejpam-4128	62	23	=	=	PUNCT
ejpam-4128	62	24	−gk	−gk	PROPN
ejpam-4128	62	25	+	+	CCONJ
ejpam-4128	62	26	(	(	PUNCT
ejpam-4128	62	27	βhs	βhs	NOUN
ejpam-4128	62	28	k	k	PROPN
ejpam-4128	62	29	−	−	PROPN
ejpam-4128	62	30	tk	tk	PROPN
ejpam-4128	62	31	gtk	gtk	PROPN
ejpam-4128	62	32	sk−1	sk−1	PROPN
ejpam-4128	62	33	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4128	62	34	)	)	PUNCT
ejpam-4128	62	35	dk−1	dk−1	NOUN
ejpam-4128	62	36	−	−	PROPN
ejpam-4128	63	1	(	(	PUNCT
ejpam-4128	63	2	gtk	gtk	NOUN
ejpam-4128	63	3	dk−1	dk−1	PROPN
ejpam-4128	63	4	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-4128	63	5	)	)	PUNCT
ejpam-4128	63	6	(	(	PUNCT
ejpam-4128	63	7	yk−1	yk−1	PROPN
ejpam-4128	63	8	+	+	CCONJ
ejpam-4128	63	9	sk−1	sk−1	ADJ
ejpam-4128	63	10	)	)	PUNCT
ejpam-4128	63	11	.	.	PUNCT
ejpam-4128	64	1	(	(	PUNCT
ejpam-4128	64	2	8)	8)	NUM
ejpam-4128	64	3	furthermore	furthermore	ADV
ejpam-4128	64	4	,	,	PUNCT
ejpam-4128	64	5	zabidin	zabidin	VERB
ejpam-4128	64	6	et	et	PROPN
ejpam-4128	64	7	al	al	PROPN
ejpam-4128	64	8	.	.	PUNCT
ejpam-4128	65	1	[	[	X
ejpam-4128	65	2	32	32	NUM
ejpam-4128	65	3	]	]	PUNCT
ejpam-4128	65	4	presented	present	VERB
ejpam-4128	65	5	the	the	DET
ejpam-4128	65	6	following	follow	VERB
ejpam-4128	65	7	cg	cg	NOUN
ejpam-4128	65	8	formula	formula	NOUN
ejpam-4128	65	9	based	base	VERB
ejpam-4128	65	10	on	on	ADP
ejpam-4128	65	11	[	[	X
ejpam-4128	65	12	11	11	NUM
ejpam-4128	65	13	]	]	PUNCT
ejpam-4128	65	14	as	as	SCONJ
ejpam-4128	65	15	follows	follow	VERB
ejpam-4128	65	16	βls+	βls+	PUNCT
ejpam-4128	65	17	k	k	X
ejpam-4128	65	18	=	=	PUNCT
ejpam-4128	65	19			PUNCT
ejpam-4128	65	20	−∥gk∥2−µk|gtk	−∥gk∥2−µk|gtk	NOUN
ejpam-4128	65	21	gk−1|	gk−1|	NOUN
ejpam-4128	65	22	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	65	23	if	if	SCONJ
ejpam-4128	65	24	∥gk∥2	∥gk∥2	PROPN
ejpam-4128	65	25	>	>	X
ejpam-4128	65	26	µk	µk	PRON
ejpam-4128	65	27	∣∣gtk	∣∣gtk	NUM
ejpam-4128	65	28	gk−1	gk−1	PROPN
ejpam-4128	65	29	∣∣	∣∣	NUM
ejpam-4128	65	30	,	,	PUNCT
ejpam-4128	65	31	βdl−hs	βdl−hs	PROPN
ejpam-4128	65	32	k	k	PROPN
ejpam-4128	66	1	otherwise	otherwise	ADV
ejpam-4128	66	2	,	,	PUNCT
ejpam-4128	66	3	(	(	PUNCT
ejpam-4128	66	4	9	9	X
ejpam-4128	66	5	)	)	PUNCT
ejpam-4128	66	6	where	where	SCONJ
ejpam-4128	66	7	∥·∥	∥·∥	PROPN
ejpam-4128	66	8	represents	represent	VERB
ejpam-4128	66	9	the	the	DET
ejpam-4128	66	10	euclidean	euclidean	ADJ
ejpam-4128	66	11	norm	norm	NOUN
ejpam-4128	66	12	and	and	CCONJ
ejpam-4128	66	13	βdl−hs	βdl−h	NOUN
ejpam-4128	66	14	k	k	NOUN
ejpam-4128	67	1	=	=	PUNCT
ejpam-4128	67	2	−	−	PROPN
ejpam-4128	67	3	µk	µk	PRON
ejpam-4128	67	4	gtk	gtk	NOUN
ejpam-4128	67	5	sk−1	sk−1	PROPN
ejpam-4128	67	6	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	67	7	.	.	PUNCT
ejpam-4128	68	1	moreover	moreover	ADV
ejpam-4128	68	2	,	,	PUNCT
ejpam-4128	68	3	liu	liu	PROPN
ejpam-4128	68	4	et	et	PROPN
ejpam-4128	68	5	al	al	PROPN
ejpam-4128	68	6	.	.	PUNCT
ejpam-4128	69	1	[	[	X
ejpam-4128	69	2	22	22	NUM
ejpam-4128	69	3	]	]	PUNCT
ejpam-4128	69	4	proposed	propose	VERB
ejpam-4128	69	5	the	the	DET
ejpam-4128	69	6	three	three	NUM
ejpam-4128	69	7	-	-	PUNCT
ejpam-4128	69	8	term	term	NOUN
ejpam-4128	69	9	cg	cg	NOUN
ejpam-4128	69	10	method	method	NOUN
ejpam-4128	69	11	as	as	SCONJ
ejpam-4128	69	12	follows	follow	VERB
ejpam-4128	69	13	dk	dk	PROPN
ejpam-4128	69	14	=	=	PUNCT
ejpam-4128	69	15	−gk	−gk	PROPN
ejpam-4128	69	16	+	+	CCONJ
ejpam-4128	69	17	(	(	PUNCT
ejpam-4128	69	18	βls	βls	VERB
ejpam-4128	69	19	k	k	NOUN
ejpam-4128	69	20	−	−	PROPN
ejpam-4128	69	21	∥gk−1∥2	∥gk−1∥2	ADJ
ejpam-4128	69	22	gtk	gtk	NOUN
ejpam-4128	69	23	dk−1	dk−1	PROPN
ejpam-4128	69	24	(	(	PUNCT
ejpam-4128	69	25	dtk−1gk−1)2	dtk−1gk−1)2	ADJ
ejpam-4128	69	26	)	)	PUNCT
ejpam-4128	69	27	dk−1	dk−1	NOUN
ejpam-4128	69	28	+	+	CCONJ
ejpam-4128	69	29	(	(	PUNCT
ejpam-4128	69	30	gtk	gtk	NOUN
ejpam-4128	69	31	dk−1	dk−1	NOUN
ejpam-4128	69	32	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	69	33	)	)	PUNCT
ejpam-4128	69	34	gk−1	gk−1	PROPN
ejpam-4128	69	35	,	,	PUNCT
ejpam-4128	69	36	with	with	ADP
ejpam-4128	69	37	the	the	DET
ejpam-4128	69	38	following	follow	VERB
ejpam-4128	69	39	assumption	assumption	NOUN
ejpam-4128	69	40	(	(	PUNCT
ejpam-4128	69	41	gtk	gtk	NOUN
ejpam-4128	69	42	dk−1	dk−1	NOUN
ejpam-4128	69	43	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	69	44	)	)	PUNCT
ejpam-4128	69	45	>	>	PUNCT
ejpam-4128	70	1	ν	ν	X
ejpam-4128	70	2	∈	∈	PROPN
ejpam-4128	70	3	(	(	PUNCT
ejpam-4128	70	4	0	0	NUM
ejpam-4128	70	5	,	,	PUNCT
ejpam-4128	70	6	1	1	NUM
ejpam-4128	70	7	)	)	PUNCT
ejpam-4128	70	8	.	.	PUNCT
ejpam-4128	71	1	additionally	additionally	ADV
ejpam-4128	71	2	,	,	PUNCT
ejpam-4128	71	3	yao	yao	PROPN
ejpam-4128	71	4	et	et	PROPN
ejpam-4128	71	5	al	al	PROPN
ejpam-4128	71	6	.	.	PUNCT
ejpam-4128	72	1	[	[	X
ejpam-4128	72	2	27	27	NUM
ejpam-4128	72	3	]	]	PUNCT
ejpam-4128	72	4	proposed	propose	VERB
ejpam-4128	72	5	three	three	NUM
ejpam-4128	72	6	terms	term	NOUN
ejpam-4128	72	7	of	of	ADP
ejpam-4128	72	8	cg	cg	NOUN
ejpam-4128	72	9	with	with	ADP
ejpam-4128	72	10	a	a	DET
ejpam-4128	72	11	new	new	ADJ
ejpam-4128	72	12	choice	choice	NOUN
ejpam-4128	72	13	of	of	ADP
ejpam-4128	72	14	t	t	PROPN
ejpam-4128	72	15	as	as	SCONJ
ejpam-4128	72	16	follows	follow	VERB
ejpam-4128	72	17	:	:	PUNCT
ejpam-4128	72	18	dk+1	dk+1	NOUN
ejpam-4128	72	19	=	=	SYM
ejpam-4128	72	20	−gk+1	−gk+1	PROPN
ejpam-4128	72	21	+	+	CCONJ
ejpam-4128	72	22	(	(	PUNCT
ejpam-4128	72	23	gtk	gtk	NOUN
ejpam-4128	72	24	yk	yk	PROPN
ejpam-4128	72	25	−	−	PROPN
ejpam-4128	72	26	tkg	tkg	DET
ejpam-4128	72	27	t	t	PROPN
ejpam-4128	72	28	k+1sk	k+1sk	VERB
ejpam-4128	72	29	ytk	ytk	PROPN
ejpam-4128	72	30	dk	dk	PROPN
ejpam-4128	72	31	)	)	PUNCT
ejpam-4128	73	1	dk	dk	PROPN
ejpam-4128	74	1	+	+	CCONJ
ejpam-4128	74	2	gtk+1dk	gtk+1dk	PROPN
ejpam-4128	74	3	ytk	ytk	NOUN
ejpam-4128	74	4	dk	dk	PROPN
ejpam-4128	74	5	yk	yk	PROPN
ejpam-4128	74	6	.	.	PUNCT
ejpam-4128	75	1	s.	s.	PROPN
ejpam-4128	75	2	ismail	ismail	PROPN
ejpam-4128	75	3	et	et	PROPN
ejpam-4128	75	4	al	al	PROPN
ejpam-4128	75	5	.	.	PUNCT
ejpam-4128	75	6	/	/	SYM
ejpam-4128	75	7	eur	eur	PROPN
ejpam-4128	75	8	.	.	PUNCT
ejpam-4128	76	1	j.	j.	PROPN
ejpam-4128	76	2	pure	pure	PROPN
ejpam-4128	76	3	appl	appl	PROPN
ejpam-4128	76	4	.	.	PROPN
ejpam-4128	76	5	math	math	PROPN
ejpam-4128	76	6	,	,	PUNCT
ejpam-4128	76	7	14	14	NUM
ejpam-4128	76	8	(	(	PUNCT
ejpam-4128	76	9	4	4	NUM
ejpam-4128	76	10	)	)	PUNCT
ejpam-4128	76	11	(	(	PUNCT
ejpam-4128	76	12	2021	2021	NUM
ejpam-4128	76	13	)	)	PUNCT
ejpam-4128	76	14	,	,	PUNCT
ejpam-4128	76	15	1429	1429	NUM
ejpam-4128	76	16	-	-	SYM
ejpam-4128	76	17	1456	1456	NUM
ejpam-4128	76	18	1433	1433	NUM
ejpam-4128	76	19	based	base	VERB
ejpam-4128	76	20	on	on	ADP
ejpam-4128	76	21	the	the	DET
ejpam-4128	76	22	swp	swp	NOUN
ejpam-4128	76	23	line	line	NOUN
ejpam-4128	76	24	search	search	NOUN
ejpam-4128	76	25	,	,	PUNCT
ejpam-4128	76	26	yao	yao	PROPN
ejpam-4128	76	27	et	et	PROPN
ejpam-4128	76	28	al	al	PROPN
ejpam-4128	76	29	.	.	PUNCT
ejpam-4128	77	1	[	[	X
ejpam-4128	77	2	27	27	NUM
ejpam-4128	77	3	]	]	PUNCT
ejpam-4128	77	4	selected	select	VERB
ejpam-4128	77	5	tk	tk	PROPN
ejpam-4128	77	6	to	to	PART
ejpam-4128	77	7	satisfy	satisfy	VERB
ejpam-4128	77	8	the	the	DET
ejpam-4128	77	9	descent	descent	NOUN
ejpam-4128	77	10	condition	condition	NOUN
ejpam-4128	77	11	as	as	SCONJ
ejpam-4128	77	12	follows	follow	VERB
ejpam-4128	77	13	:	:	PUNCT
ejpam-4128	77	14	tk	tk	PROPN
ejpam-4128	77	15	>	>	X
ejpam-4128	77	16	∥yk∥2	∥yk∥2	PROPN
ejpam-4128	78	1	ytk	ytk	NOUN
ejpam-4128	78	2	sk	sk	NOUN
ejpam-4128	78	3	.	.	PUNCT
ejpam-4128	79	1	the	the	DET
ejpam-4128	79	2	cg	cg	NOUN
ejpam-4128	79	3	method	method	NOUN
ejpam-4128	79	4	can	can	AUX
ejpam-4128	79	5	be	be	AUX
ejpam-4128	79	6	applied	apply	VERB
ejpam-4128	79	7	in	in	ADP
ejpam-4128	79	8	many	many	ADJ
ejpam-4128	79	9	fields	field	NOUN
ejpam-4128	79	10	such	such	ADJ
ejpam-4128	79	11	as	as	ADP
ejpam-4128	79	12	medical	medical	ADJ
ejpam-4128	79	13	science	science	NOUN
ejpam-4128	79	14	,	,	PUNCT
ejpam-4128	79	15	neural	neural	ADJ
ejpam-4128	79	16	network	network	NOUN
ejpam-4128	79	17	,	,	PUNCT
ejpam-4128	79	18	image	image	NOUN
ejpam-4128	79	19	restoration	restoration	NOUN
ejpam-4128	79	20	,	,	PUNCT
ejpam-4128	79	21	machine	machine	NOUN
ejpam-4128	79	22	learning	learning	NOUN
ejpam-4128	79	23	,	,	PUNCT
ejpam-4128	79	24	finance	finance	NOUN
ejpam-4128	79	25	,	,	PUNCT
ejpam-4128	79	26	economics	economic	NOUN
ejpam-4128	79	27	and	and	CCONJ
ejpam-4128	79	28	many	many	ADJ
ejpam-4128	79	29	others	other	NOUN
ejpam-4128	79	30	.	.	PUNCT
ejpam-4128	80	1	for	for	ADP
ejpam-4128	80	2	example	example	NOUN
ejpam-4128	80	3	,	,	PUNCT
ejpam-4128	80	4	alhawarat	alhawarat	PROPN
ejpam-4128	80	5	et	et	PROPN
ejpam-4128	80	6	al	al	PROPN
ejpam-4128	80	7	.	.	PUNCT
ejpam-4128	81	1	[	[	X
ejpam-4128	81	2	1	1	X
ejpam-4128	81	3	]	]	PUNCT
ejpam-4128	81	4	presented	present	VERB
ejpam-4128	81	5	an	an	DET
ejpam-4128	81	6	application	application	NOUN
ejpam-4128	81	7	for	for	ADP
ejpam-4128	81	8	image	image	NOUN
ejpam-4128	81	9	restoration	restoration	NOUN
ejpam-4128	81	10	using	use	VERB
ejpam-4128	81	11	the	the	DET
ejpam-4128	81	12	cg	cg	NOUN
ejpam-4128	81	13	method	method	NOUN
ejpam-4128	81	14	to	to	PART
ejpam-4128	81	15	restore	restore	VERB
ejpam-4128	81	16	true	true	ADJ
ejpam-4128	81	17	images	image	NOUN
ejpam-4128	81	18	from	from	ADP
ejpam-4128	81	19	damaged	damage	VERB
ejpam-4128	81	20	images	image	NOUN
ejpam-4128	81	21	with	with	ADP
ejpam-4128	81	22	an	an	DET
ejpam-4128	81	23	efficient	efficient	ADJ
ejpam-4128	81	24	number	number	NOUN
ejpam-4128	81	25	of	of	ADP
ejpam-4128	81	26	iterations	iteration	NOUN
ejpam-4128	81	27	and	and	CCONJ
ejpam-4128	81	28	cpu	cpu	NOUN
ejpam-4128	81	29	time	time	NOUN
ejpam-4128	81	30	.	.	PUNCT
ejpam-4128	82	1	moreover	moreover	ADV
ejpam-4128	82	2	,	,	PUNCT
ejpam-4128	82	3	we	we	PRON
ejpam-4128	82	4	can	can	AUX
ejpam-4128	82	5	test	test	VERB
ejpam-4128	82	6	the	the	DET
ejpam-4128	82	7	quality	quality	NOUN
ejpam-4128	82	8	using	use	VERB
ejpam-4128	82	9	the	the	DET
ejpam-4128	82	10	root	root	NOUN
ejpam-4128	82	11	-	-	PUNCT
ejpam-4128	82	12	mean	mean	ADJ
ejpam-4128	82	13	-	-	PUNCT
ejpam-4128	82	14	square	square	NOUN
ejpam-4128	82	15	error	error	NOUN
ejpam-4128	82	16	(	(	PUNCT
ejpam-4128	82	17	rmse	rmse	NOUN
ejpam-4128	82	18	)	)	PUNCT
ejpam-4128	82	19	between	between	ADP
ejpam-4128	82	20	the	the	DET
ejpam-4128	82	21	original	original	ADJ
ejpam-4128	82	22	image	image	NOUN
ejpam-4128	82	23	and	and	CCONJ
ejpam-4128	82	24	the	the	DET
ejpam-4128	82	25	restored	restore	VERB
ejpam-4128	82	26	image	image	NOUN
ejpam-4128	82	27	as	as	SCONJ
ejpam-4128	82	28	follows	follow	VERB
ejpam-4128	82	29	:	:	PUNCT
ejpam-4128	83	1	rmse	rmse	PROPN
ejpam-4128	83	2	=	=	PUNCT
ejpam-4128	83	3	∥ς	∥ς	PROPN
ejpam-4128	83	4	−	−	PROPN
ejpam-4128	84	1	ιk∥2	ιk∥2	PROPN
ejpam-4128	84	2	∥ς∥	∥ς∥	NOUN
ejpam-4128	84	3	.	.	PUNCT
ejpam-4128	85	1	here	here	ADV
ejpam-4128	85	2	,	,	PUNCT
ejpam-4128	85	3	ςand	ςand	ADV
ejpam-4128	85	4	ιk	ιk	X
ejpam-4128	85	5	are	be	AUX
ejpam-4128	85	6	the	the	DET
ejpam-4128	85	7	true	true	ADJ
ejpam-4128	85	8	image	image	NOUN
ejpam-4128	85	9	and	and	CCONJ
ejpam-4128	85	10	restored	restore	VERB
ejpam-4128	85	11	images	image	NOUN
ejpam-4128	85	12	.	.	PUNCT
ejpam-4128	86	1	for	for	ADP
ejpam-4128	86	2	more	more	ADJ
ejpam-4128	86	3	about	about	ADP
ejpam-4128	86	4	the	the	DET
ejpam-4128	86	5	cg	cg	NOUN
ejpam-4128	86	6	method	method	NOUN
ejpam-4128	86	7	and	and	CCONJ
ejpam-4128	86	8	its	its	PRON
ejpam-4128	86	9	applications	application	NOUN
ejpam-4128	86	10	,	,	PUNCT
ejpam-4128	86	11	the	the	DET
ejpam-4128	86	12	reader	reader	NOUN
ejpam-4128	86	13	can	can	AUX
ejpam-4128	86	14	refer	refer	VERB
ejpam-4128	86	15	to	to	ADP
ejpam-4128	86	16	the	the	DET
ejpam-4128	86	17	following	following	ADJ
ejpam-4128	86	18	references	reference	NOUN
ejpam-4128	86	19	[	[	X
ejpam-4128	86	20	3	3	NUM
ejpam-4128	86	21	,	,	PUNCT
ejpam-4128	86	22	4	4	NUM
ejpam-4128	86	23	,	,	PUNCT
ejpam-4128	86	24	6	6	NUM
ejpam-4128	86	25	,	,	PUNCT
ejpam-4128	86	26	20	20	NUM
ejpam-4128	86	27	]	]	PUNCT
ejpam-4128	86	28	.	.	PUNCT
ejpam-4128	87	1	2	2	X
ejpam-4128	87	2	.	.	X
ejpam-4128	87	3	preliminary	preliminary	ADJ
ejpam-4128	87	4	definition	definition	NOUN
ejpam-4128	87	5	2.1	2.1	NUM
ejpam-4128	87	6	[	[	SYM
ejpam-4128	87	7	8	8	NUM
ejpam-4128	87	8	]	]	PUNCT
ejpam-4128	87	9	.	.	PUNCT
ejpam-4128	88	1	a	a	DET
ejpam-4128	88	2	sequence	sequence	NOUN
ejpam-4128	88	3	of	of	ADP
ejpam-4128	88	4	real	real	ADJ
ejpam-4128	88	5	numbers	number	NOUN
ejpam-4128	88	6	is	be	AUX
ejpam-4128	88	7	a	a	DET
ejpam-4128	88	8	function	function	NOUN
ejpam-4128	88	9	whose	whose	DET
ejpam-4128	88	10	domain	domain	NOUN
ejpam-4128	88	11	is	be	AUX
ejpam-4128	88	12	the	the	DET
ejpam-4128	88	13	set	set	NOUN
ejpam-4128	88	14	of	of	ADP
ejpam-4128	88	15	natural	natural	ADJ
ejpam-4128	88	16	numbers	number	NOUN
ejpam-4128	88	17	n	n	NOUN
ejpam-4128	88	18	=	=	PUNCT
ejpam-4128	88	19	{	{	PUNCT
ejpam-4128	88	20	1	1	NUM
ejpam-4128	88	21	,	,	PUNCT
ejpam-4128	88	22	2	2	NUM
ejpam-4128	88	23	,	,	PUNCT
ejpam-4128	88	24	...	...	PUNCT
ejpam-4128	88	25	}	}	PUNCT
ejpam-4128	88	26	and	and	CCONJ
ejpam-4128	88	27	whose	whose	DET
ejpam-4128	88	28	range	range	NOUN
ejpam-4128	88	29	is	be	AUX
ejpam-4128	88	30	contained	contain	VERB
ejpam-4128	88	31	in	in	ADP
ejpam-4128	88	32	r.	r.	PROPN
ejpam-4128	88	33	a	a	DET
ejpam-4128	88	34	sequence	sequence	NOUN
ejpam-4128	88	35	an	an	PRON
ejpam-4128	88	36	is	be	AUX
ejpam-4128	88	37	considered	consider	VERB
ejpam-4128	88	38	increasing	increase	VERB
ejpam-4128	88	39	if	if	SCONJ
ejpam-4128	88	40	a1	a1	NOUN
ejpam-4128	88	41	<	<	X
ejpam-4128	88	42	a2	a2	PROPN
ejpam-4128	88	43	<	<	X
ejpam-4128	88	44	a3	a3	PROPN
ejpam-4128	88	45	<	<	X
ejpam-4128	88	46	...	...	PUNCT
ejpam-4128	89	1	<	<	X
ejpam-4128	89	2	ak	ak	PROPN
ejpam-4128	89	3	...	...	PROPN
ejpam-4128	89	4	that	that	ADV
ejpam-4128	89	5	is	be	AUX
ejpam-4128	89	6	,	,	PUNCT
ejpam-4128	89	7	ak	ak	PROPN
ejpam-4128	89	8	<	<	X
ejpam-4128	89	9	ak+1	ak+1	X
ejpam-4128	89	10	for	for	ADP
ejpam-4128	89	11	all	all	DET
ejpam-4128	89	12	k.	k.	PROPN
ejpam-4128	89	13	similarly	similarly	ADV
ejpam-4128	89	14	,	,	PUNCT
ejpam-4128	89	15	the	the	DET
ejpam-4128	89	16	decreasing	decrease	VERB
ejpam-4128	89	17	sequences	sequence	NOUN
ejpam-4128	89	18	can	can	AUX
ejpam-4128	89	19	be	be	AUX
ejpam-4128	89	20	defined	define	VERB
ejpam-4128	89	21	.	.	PUNCT
ejpam-4128	90	1	definition	definition	NOUN
ejpam-4128	90	2	2.2	2.2	NUM
ejpam-4128	90	3	[	[	NOUN
ejpam-4128	90	4	8	8	NUM
ejpam-4128	90	5	]	]	PUNCT
ejpam-4128	90	6	.	.	PUNCT
ejpam-4128	91	1	a	a	DET
ejpam-4128	91	2	sequence	sequence	NOUN
ejpam-4128	91	3	an	an	PRON
ejpam-4128	91	4	is	be	AUX
ejpam-4128	91	5	said	say	VERB
ejpam-4128	91	6	to	to	PART
ejpam-4128	91	7	converge	converge	VERB
ejpam-4128	91	8	to	to	ADP
ejpam-4128	91	9	the	the	DET
ejpam-4128	91	10	limit	limit	NOUN
ejpam-4128	91	11	l	l	NOUN
ejpam-4128	91	12	for	for	ADP
ejpam-4128	91	13	any	any	DET
ejpam-4128	91	14	given	give	VERB
ejpam-4128	91	15	ε	ε	PROPN
ejpam-4128	91	16	>	>	X
ejpam-4128	91	17	0	0	PROPN
ejpam-4128	91	18	.	.	PUNCT
ejpam-4128	92	1	then	then	ADV
ejpam-4128	92	2	,	,	PUNCT
ejpam-4128	92	3	there	there	PRON
ejpam-4128	92	4	is	be	VERB
ejpam-4128	92	5	a	a	DET
ejpam-4128	92	6	positive	positive	ADJ
ejpam-4128	92	7	integer	integer	NOUN
ejpam-4128	92	8	n	n	CCONJ
ejpam-4128	92	9	such	such	ADJ
ejpam-4128	92	10	that	that	SCONJ
ejpam-4128	92	11	|an	|an	X
ejpam-4128	92	12	−	−	PROPN
ejpam-4128	92	13	l|	l|	ADJ
ejpam-4128	92	14	<	<	X
ejpam-4128	92	15	ε	ε	PROPN
ejpam-4128	92	16	for	for	ADP
ejpam-4128	92	17	all	all	DET
ejpam-4128	92	18	n	n	PRON
ejpam-4128	92	19	≥	≥	NOUN
ejpam-4128	92	20	n.	n.	NOUN
ejpam-4128	92	21	in	in	ADP
ejpam-4128	92	22	this	this	DET
ejpam-4128	92	23	case	case	NOUN
ejpam-4128	92	24	,	,	PUNCT
ejpam-4128	92	25	we	we	PRON
ejpam-4128	92	26	have	have	VERB
ejpam-4128	92	27	lim	lim	PROPN
ejpam-4128	92	28	n→∞	n→∞	PRON
ejpam-4128	92	29	an	an	DET
ejpam-4128	92	30	=	=	X
ejpam-4128	92	31	l.	l.	PROPN
ejpam-4128	92	32	a	a	DET
ejpam-4128	92	33	sequence	sequence	NOUN
ejpam-4128	92	34	that	that	PRON
ejpam-4128	92	35	does	do	AUX
ejpam-4128	92	36	not	not	PART
ejpam-4128	92	37	converge	converge	VERB
ejpam-4128	92	38	to	to	ADP
ejpam-4128	92	39	some	some	DET
ejpam-4128	92	40	finite	finite	ADJ
ejpam-4128	92	41	limit	limit	NOUN
ejpam-4128	92	42	is	be	AUX
ejpam-4128	92	43	called	call	VERB
ejpam-4128	92	44	to	to	PART
ejpam-4128	92	45	diverge	diverge	VERB
ejpam-4128	92	46	.	.	PUNCT
ejpam-4128	93	1	definition	definition	NOUN
ejpam-4128	93	2	2.3	2.3	NUM
ejpam-4128	94	1	[	[	X
ejpam-4128	94	2	16	16	NUM
ejpam-4128	94	3	]	]	PUNCT
ejpam-4128	94	4	.	.	PUNCT
ejpam-4128	95	1	an	an	DET
ejpam-4128	95	2	infinite	infinite	ADJ
ejpam-4128	95	3	series	series	NOUN
ejpam-4128	95	4	is	be	AUX
ejpam-4128	95	5	an	an	DET
ejpam-4128	95	6	expression	expression	NOUN
ejpam-4128	95	7	that	that	PRON
ejpam-4128	95	8	can	can	AUX
ejpam-4128	95	9	be	be	AUX
ejpam-4128	95	10	written	write	VERB
ejpam-4128	95	11	in	in	ADP
ejpam-4128	95	12	the	the	DET
ejpam-4128	95	13	form	form	NOUN
ejpam-4128	95	14	of	of	ADP
ejpam-4128	95	15	∞∑	∞∑	NUM
ejpam-4128	95	16	k=1	k=1	PUNCT
ejpam-4128	95	17	uk	uk	PROPN
ejpam-4128	95	18	=	=	PUNCT
ejpam-4128	95	19	u1	u1	PROPN
ejpam-4128	95	20	+	+	CCONJ
ejpam-4128	95	21	u2	u2	PROPN
ejpam-4128	95	22	+	+	CCONJ
ejpam-4128	95	23	u3	u3	NOUN
ejpam-4128	95	24	+	+	CCONJ
ejpam-4128	95	25	...	...	PUNCT
ejpam-4128	95	26	+	+	CCONJ
ejpam-4128	95	27	uk	uk	PROPN
ejpam-4128	95	28	+	+	CCONJ
ejpam-4128	95	29	....	....	PUNCT
ejpam-4128	96	1	the	the	DET
ejpam-4128	96	2	number	number	NOUN
ejpam-4128	96	3	u1	u1	NOUN
ejpam-4128	96	4	,	,	PUNCT
ejpam-4128	96	5	u2	u2	NOUN
ejpam-4128	96	6	,	,	PUNCT
ejpam-4128	96	7	u3	u3	NOUN
ejpam-4128	96	8	,	,	PUNCT
ejpam-4128	96	9	...	...	PUNCT
ejpam-4128	96	10	is	be	AUX
ejpam-4128	96	11	called	call	VERB
ejpam-4128	96	12	the	the	DET
ejpam-4128	96	13	term	term	NOUN
ejpam-4128	96	14	of	of	ADP
ejpam-4128	96	15	the	the	DET
ejpam-4128	96	16	series	series	NOUN
ejpam-4128	96	17	.	.	PUNCT
ejpam-4128	97	1	definition	definition	NOUN
ejpam-4128	97	2	2.4	2.4	NUM
ejpam-4128	97	3	[	[	SYM
ejpam-4128	97	4	16	16	NUM
ejpam-4128	97	5	]	]	PUNCT
ejpam-4128	97	6	.	.	PUNCT
ejpam-4128	98	1	let	let	VERB
ejpam-4128	98	2	an	an	DET
ejpam-4128	98	3	be	be	AUX
ejpam-4128	98	4	the	the	DET
ejpam-4128	98	5	sequence	sequence	NOUN
ejpam-4128	98	6	of	of	ADP
ejpam-4128	98	7	partial	partial	ADJ
ejpam-4128	98	8	sums	sum	NOUN
ejpam-4128	98	9	of	of	ADP
ejpam-4128	98	10	the	the	DET
ejpam-4128	98	11	series	series	NOUN
ejpam-4128	98	12	u1+u2+u3	u1+u2+u3	PROPN
ejpam-4128	98	13	+	+	CCONJ
ejpam-4128	98	14	...	...	PUNCT
ejpam-4128	99	1	+	+	CCONJ
ejpam-4128	99	2	uk	uk	PROPN
ejpam-4128	99	3	+	+	CCONJ
ejpam-4128	99	4	....	....	PUNCT
ejpam-4128	100	1	if	if	SCONJ
ejpam-4128	100	2	the	the	DET
ejpam-4128	100	3	sequence	sequence	NOUN
ejpam-4128	100	4	an	an	DET
ejpam-4128	100	5	converges	converge	NOUN
ejpam-4128	100	6	to	to	ADP
ejpam-4128	100	7	a	a	DET
ejpam-4128	100	8	limita	limita	NOUN
ejpam-4128	100	9	,	,	PUNCT
ejpam-4128	100	10	then	then	ADV
ejpam-4128	100	11	the	the	DET
ejpam-4128	100	12	series	series	NOUN
ejpam-4128	100	13	is	be	AUX
ejpam-4128	100	14	convergent	convergent	ADJ
ejpam-4128	100	15	to	to	ADP
ejpam-4128	100	16	a	a	PRON
ejpam-4128	100	17	and	and	CCONJ
ejpam-4128	100	18	a	a	PRON
ejpam-4128	100	19	is	be	AUX
ejpam-4128	100	20	called	call	VERB
ejpam-4128	100	21	the	the	DET
ejpam-4128	100	22	sum	sum	NOUN
ejpam-4128	100	23	of	of	ADP
ejpam-4128	100	24	the	the	DET
ejpam-4128	100	25	series	series	NOUN
ejpam-4128	100	26	.	.	PUNCT
ejpam-4128	101	1	this	this	PRON
ejpam-4128	101	2	is	be	AUX
ejpam-4128	101	3	defined	define	VERB
ejpam-4128	101	4	by	by	ADP
ejpam-4128	101	5	:	:	PUNCT
ejpam-4128	101	6	a	a	DET
ejpam-4128	101	7	=	=	X
ejpam-4128	101	8	∞∑	∞∑	NUM
ejpam-4128	101	9	k=1	k=1	ADJ
ejpam-4128	101	10	uk	uk	PROPN
ejpam-4128	101	11	.	.	PUNCT
ejpam-4128	102	1	if	if	SCONJ
ejpam-4128	102	2	the	the	DET
ejpam-4128	102	3	sequence	sequence	NOUN
ejpam-4128	102	4	of	of	ADP
ejpam-4128	102	5	partial	partial	ADJ
ejpam-4128	102	6	sums	sum	NOUN
ejpam-4128	102	7	diverges	diverge	VERB
ejpam-4128	102	8	,	,	PUNCT
ejpam-4128	102	9	then	then	ADV
ejpam-4128	102	10	the	the	DET
ejpam-4128	102	11	series	series	NOUN
ejpam-4128	102	12	is	be	AUX
ejpam-4128	102	13	diverging	diverge	VERB
ejpam-4128	102	14	.	.	PUNCT
ejpam-4128	103	1	s.	s.	PROPN
ejpam-4128	103	2	ismail	ismail	PROPN
ejpam-4128	103	3	et	et	PROPN
ejpam-4128	103	4	al	al	PROPN
ejpam-4128	103	5	.	.	PUNCT
ejpam-4128	103	6	/	/	SYM
ejpam-4128	103	7	eur	eur	PROPN
ejpam-4128	103	8	.	.	PUNCT
ejpam-4128	104	1	j.	j.	PROPN
ejpam-4128	104	2	pure	pure	PROPN
ejpam-4128	104	3	appl	appl	PROPN
ejpam-4128	104	4	.	.	PROPN
ejpam-4128	104	5	math	math	PROPN
ejpam-4128	104	6	,	,	PUNCT
ejpam-4128	104	7	14	14	NUM
ejpam-4128	104	8	(	(	PUNCT
ejpam-4128	104	9	4	4	NUM
ejpam-4128	104	10	)	)	PUNCT
ejpam-4128	104	11	(	(	PUNCT
ejpam-4128	104	12	2021	2021	NUM
ejpam-4128	104	13	)	)	PUNCT
ejpam-4128	104	14	,	,	PUNCT
ejpam-4128	104	15	1429	1429	NUM
ejpam-4128	104	16	-	-	SYM
ejpam-4128	104	17	1456	1456	NUM
ejpam-4128	104	18	1434	1434	NUM
ejpam-4128	104	19	theorem	theorem	VERB
ejpam-4128	104	20	2.1	2.1	NUM
ejpam-4128	104	21	[	[	SYM
ejpam-4128	104	22	16	16	NUM
ejpam-4128	104	23	]	]	PUNCT
ejpam-4128	104	24	.	.	PUNCT
ejpam-4128	105	1	a	a	DET
ejpam-4128	105	2	geometric	geometric	ADJ
ejpam-4128	105	3	series	series	NOUN
ejpam-4128	105	4	∑∞	∑∞	NOUN
ejpam-4128	105	5	k=1	k=1	X
ejpam-4128	105	6	ar	ar	PROPN
ejpam-4128	105	7	k	k	PROPN
ejpam-4128	105	8	=	=	PRON
ejpam-4128	105	9	a+	a+	PUNCT
ejpam-4128	105	10	ar+	ar+	NOUN
ejpam-4128	105	11	ar2	ar2	PROPN
ejpam-4128	105	12	+	+	X
ejpam-4128	105	13	...	...	PUNCT
ejpam-4128	105	14	+	+	CCONJ
ejpam-4128	105	15	ark	ark	NOUN
ejpam-4128	105	16	+	+	CCONJ
ejpam-4128	105	17	...	...	PUNCT
ejpam-4128	105	18	,	,	PUNCT
ejpam-4128	105	19	where	where	SCONJ
ejpam-4128	105	20	(	(	PUNCT
ejpam-4128	105	21	a	a	DET
ejpam-4128	105	22	̸=	̸=	PROPN
ejpam-4128	105	23	0	0	NUM
ejpam-4128	105	24	)	)	PUNCT
ejpam-4128	105	25	.	.	PUNCT
ejpam-4128	106	1	then	then	ADV
ejpam-4128	106	2	,	,	PUNCT
ejpam-4128	106	3	it	it	PRON
ejpam-4128	106	4	is	be	AUX
ejpam-4128	106	5	convergent	convergent	ADJ
ejpam-4128	106	6	if	if	SCONJ
ejpam-4128	106	7	|r|	|r|	DET
ejpam-4128	106	8	≤	≤	PROPN
ejpam-4128	106	9	1and	1and	NUM
ejpam-4128	106	10	diverges	diverge	NOUN
ejpam-4128	106	11	if	if	SCONJ
ejpam-4128	106	12	|r|	|r|	NOUN
ejpam-4128	106	13	>	>	X
ejpam-4128	106	14	1	1	X
ejpam-4128	106	15	.	.	PUNCT
ejpam-4128	107	1	if	if	SCONJ
ejpam-4128	107	2	the	the	DET
ejpam-4128	107	3	series	series	NOUN
ejpam-4128	107	4	converges	converge	VERB
ejpam-4128	107	5	,	,	PUNCT
ejpam-4128	107	6	then	then	ADV
ejpam-4128	107	7	the	the	DET
ejpam-4128	107	8	sum	sum	NOUN
ejpam-4128	107	9	is	be	AUX
ejpam-4128	107	10	,	,	PUNCT
ejpam-4128	107	11	∑∞	∑∞	X
ejpam-4128	107	12	k=1	k=1	X
ejpam-4128	107	13	ar	ar	PROPN
ejpam-4128	107	14	k	k	PROPN
ejpam-4128	107	15	=	=	PUNCT
ejpam-4128	107	16	a	a	DET
ejpam-4128	107	17	1−r	1−r	NUM
ejpam-4128	107	18	.	.	PUNCT
ejpam-4128	108	1	definition	definition	NOUN
ejpam-4128	108	2	2.5	2.5	NUM
ejpam-4128	109	1	[	[	SYM
ejpam-4128	109	2	8	8	NUM
ejpam-4128	109	3	]	]	PUNCT
ejpam-4128	109	4	for	for	ADP
ejpam-4128	109	5	f	f	PROPN
ejpam-4128	109	6	:	:	PUNCT
ejpam-4128	109	7	rn	rn	PROPN
ejpam-4128	109	8	→	→	SYM
ejpam-4128	109	9	r	r	VERB
ejpam-4128	109	10	a	a	DET
ejpam-4128	109	11	function	function	NOUN
ejpam-4128	109	12	that	that	PRON
ejpam-4128	109	13	is	be	AUX
ejpam-4128	109	14	continuous	continuous	ADJ
ejpam-4128	109	15	and	and	CCONJ
ejpam-4128	109	16	differentiable	differentiable	ADJ
ejpam-4128	109	17	,	,	PUNCT
ejpam-4128	109	18	then	then	ADV
ejpam-4128	109	19	there	there	PRON
ejpam-4128	109	20	exists	exist	VERB
ejpam-4128	109	21	at	at	ADP
ejpam-4128	109	22	any	any	DET
ejpam-4128	109	23	point	point	NOUN
ejpam-4128	109	24	x	x	X
ejpam-4128	109	25	∈	∈	PROPN
ejpam-4128	109	26	rn	rn	PROPN
ejpam-4128	109	27	,	,	PUNCT
ejpam-4128	109	28	a	a	DET
ejpam-4128	109	29	vector	vector	NOUN
ejpam-4128	109	30	of	of	ADP
ejpam-4128	109	31	first	first	ADJ
ejpam-4128	109	32	-	-	PUNCT
ejpam-4128	109	33	order	order	NOUN
ejpam-4128	109	34	partial	partial	ADJ
ejpam-4128	109	35	derivatives	derivative	NOUN
ejpam-4128	109	36	or	or	CCONJ
ejpam-4128	109	37	a	a	DET
ejpam-4128	109	38	gradient	gradient	ADJ
ejpam-4128	109	39	vector	vector	NOUN
ejpam-4128	109	40	given	give	VERB
ejpam-4128	109	41	by	by	ADP
ejpam-4128	109	42	∇f(x	∇f(x	NUM
ejpam-4128	109	43	)	)	PUNCT
ejpam-4128	110	1	=	=	SYM
ejpam-4128	110	2			NUM
ejpam-4128	110	3	∂f(x	∂f(x	NOUN
ejpam-4128	110	4	)	)	PUNCT
ejpam-4128	110	5	∂x1	∂x1	PROPN
ejpam-4128	110	6	∂f(x	∂f(x	PROPN
ejpam-4128	110	7	)	)	PUNCT
ejpam-4128	110	8	∂x2	∂x2	NOUN
ejpam-4128	110	9	...	...	PUNCT
ejpam-4128	110	10	∂f(x	∂f(x	AUX
ejpam-4128	110	11	)	)	PUNCT
ejpam-4128	110	12	∂xn	∂xn	VERB
ejpam-4128	110	13			NOUN
ejpam-4128	110	14	=	=	SYM
ejpam-4128	110	15	g(x	g(x	NOUN
ejpam-4128	110	16	)	)	PUNCT
ejpam-4128	110	17	.	.	PUNCT
ejpam-4128	111	1	definition	definition	NOUN
ejpam-4128	111	2	2.6	2.6	NUM
ejpam-4128	112	1	[	[	X
ejpam-4128	112	2	28	28	NUM
ejpam-4128	112	3	]	]	PUNCT
ejpam-4128	112	4	.	.	PUNCT
ejpam-4128	113	1	let	let	VERB
ejpam-4128	113	2	function	function	VERB
ejpam-4128	113	3	f	f	PROPN
ejpam-4128	113	4	:	:	PUNCT
ejpam-4128	113	5	rn	rn	PROPN
ejpam-4128	113	6	→	→	SYM
ejpam-4128	113	7	r	r	NOUN
ejpam-4128	113	8	be	be	AUX
ejpam-4128	113	9	twice	twice	ADV
ejpam-4128	113	10	continuously	continuously	ADV
ejpam-4128	113	11	differentiable	differentiable	ADJ
ejpam-4128	113	12	.	.	PUNCT
ejpam-4128	114	1	then	then	ADV
ejpam-4128	114	2	,	,	PUNCT
ejpam-4128	114	3	at	at	ADP
ejpam-4128	114	4	a	a	DET
ejpam-4128	114	5	point	point	NOUN
ejpam-4128	114	6	x	x	X
ejpam-4128	114	7	∈	∈	PROPN
ejpam-4128	114	8	rn	rn	PROPN
ejpam-4128	114	9	,	,	PUNCT
ejpam-4128	114	10	there	there	PRON
ejpam-4128	114	11	exists	exist	VERB
ejpam-4128	114	12	a	a	DET
ejpam-4128	114	13	matrix	matrix	NOUN
ejpam-4128	114	14	of	of	ADP
ejpam-4128	114	15	second	second	ADJ
ejpam-4128	114	16	-	-	PUNCT
ejpam-4128	114	17	order	order	NOUN
ejpam-4128	114	18	partial	partial	ADJ
ejpam-4128	114	19	derivatives	derivative	NOUN
ejpam-4128	114	20	or	or	CCONJ
ejpam-4128	114	21	a	a	DET
ejpam-4128	114	22	hessian	hessian	ADJ
ejpam-4128	114	23	matrix	matrix	NOUN
ejpam-4128	114	24	given	give	VERB
ejpam-4128	114	25	by	by	ADP
ejpam-4128	114	26	∇2f(x	∇2f(x	NOUN
ejpam-4128	114	27	)	)	PUNCT
ejpam-4128	114	28	=	=	SYM
ejpam-4128	114	29	h(x	h(x	PROPN
ejpam-4128	114	30	)	)	PUNCT
ejpam-4128	115	1	=	=	NUM
ejpam-4128	115	2			NOUN
ejpam-4128	115	3	∂2f(x	∂2f(x	NUM
ejpam-4128	115	4	)	)	PUNCT
ejpam-4128	116	1	∂x1	∂x1	VERB
ejpam-4128	116	2	2	2	NUM
ejpam-4128	116	3	∂2f(x	∂2f(x	NUM
ejpam-4128	116	4	)	)	PUNCT
ejpam-4128	116	5	∂x1∂x2	∂x1∂x2	NOUN
ejpam-4128	116	6	·	·	PUNCT
ejpam-4128	116	7	·	·	PUNCT
ejpam-4128	116	8	·	·	PUNCT
ejpam-4128	117	1	∂2f(x	∂2f(x	NUM
ejpam-4128	117	2	)	)	PUNCT
ejpam-4128	117	3	∂x1∂xm	∂x1∂xm	NOUN
ejpam-4128	117	4	∂2f(x	∂2f(x	NUM
ejpam-4128	117	5	)	)	PUNCT
ejpam-4128	117	6	∂x2∂x1	∂x2∂x1	NOUN
ejpam-4128	117	7	∂2f(x	∂2f(x	NUM
ejpam-4128	117	8	)	)	PUNCT
ejpam-4128	117	9	∂x2	∂x2	NOUN
ejpam-4128	117	10	2	2	NUM
ejpam-4128	117	11	∂2f(x	∂2f(x	NUM
ejpam-4128	117	12	)	)	PUNCT
ejpam-4128	117	13	∂x2∂xm	∂x2∂xm	PROPN
ejpam-4128	117	14	...	...	PUNCT
ejpam-4128	117	15	...	...	PUNCT
ejpam-4128	117	16	...	...	PUNCT
ejpam-4128	118	1	∂2f(x	∂2f(x	X
ejpam-4128	118	2	)	)	PUNCT
ejpam-4128	118	3	∂xn∂x1	∂xn∂x1	NOUN
ejpam-4128	118	4	∂2f(x	∂2f(x	NUM
ejpam-4128	118	5	)	)	PUNCT
ejpam-4128	118	6	∂xn∂2	∂xn∂2	ADV
ejpam-4128	118	7	·	·	PUNCT
ejpam-4128	118	8	·	·	PUNCT
ejpam-4128	118	9	·	·	PUNCT
ejpam-4128	118	10	∂2f(x	∂2f(x	NUM
ejpam-4128	118	11	)	)	PUNCT
ejpam-4128	118	12	∂xn∂xm	∂xn∂xm	NOUN
ejpam-4128	118	13			VERB
ejpam-4128	118	14	,	,	PUNCT
ejpam-4128	118	15	where	where	SCONJ
ejpam-4128	118	16	m	m	VERB
ejpam-4128	118	17	,	,	PUNCT
ejpam-4128	118	18	n	n	PROPN
ejpam-4128	118	19	∈	∈	PROPN
ejpam-4128	118	20	n.	n.	NOUN
ejpam-4128	118	21	definition	definition	NOUN
ejpam-4128	118	22	2.7	2.7	NUM
ejpam-4128	119	1	[	[	NOUN
ejpam-4128	119	2	8	8	NUM
ejpam-4128	119	3	]	]	PUNCT
ejpam-4128	119	4	.	.	PUNCT
ejpam-4128	120	1	quadratic	quadratic	ADJ
ejpam-4128	120	2	form	form	NOUN
ejpam-4128	120	3	of	of	ADP
ejpam-4128	120	4	a	a	DET
ejpam-4128	120	5	function	function	NOUN
ejpam-4128	120	6	f	f	NOUN
ejpam-4128	120	7	:	:	PUNCT
ejpam-4128	120	8	rn	rn	PROPN
ejpam-4128	120	9	→	→	SYM
ejpam-4128	120	10	r	r	NOUN
ejpam-4128	120	11	is	be	AUX
ejpam-4128	120	12	denoted	denote	VERB
ejpam-4128	120	13	by	by	ADP
ejpam-4128	120	14	f(x	f(x	PROPN
ejpam-4128	120	15	)	)	PUNCT
ejpam-4128	120	16	=	=	PUNCT
ejpam-4128	121	1	1	1	NUM
ejpam-4128	121	2	2x	2x	NUM
ejpam-4128	121	3	tqx−	tqx−	PROPN
ejpam-4128	121	4	bx	bx	NOUN
ejpam-4128	121	5	,	,	PUNCT
ejpam-4128	121	6	where	where	SCONJ
ejpam-4128	121	7	x	x	PUNCT
ejpam-4128	121	8	∈rn	∈rn	NOUN
ejpam-4128	121	9	,	,	PUNCT
ejpam-4128	121	10	q	q	PRON
ejpam-4128	121	11	is	be	AUX
ejpam-4128	121	12	n×	n×	PROPN
ejpam-4128	121	13	n	n	PRON
ejpam-4128	121	14	real	real	ADJ
ejpam-4128	121	15	matrix	matrix	NOUN
ejpam-4128	121	16	,	,	PUNCT
ejpam-4128	121	17	and	and	CCONJ
ejpam-4128	121	18	b	b	NOUN
ejpam-4128	121	19	is	be	AUX
ejpam-4128	121	20	a	a	DET
ejpam-4128	121	21	constant	constant	ADJ
ejpam-4128	121	22	.	.	PUNCT
ejpam-4128	122	1	definition	definition	NOUN
ejpam-4128	122	2	2.8	2.8	NUM
ejpam-4128	122	3	[	[	X
ejpam-4128	122	4	7	7	NUM
ejpam-4128	122	5	]	]	PUNCT
ejpam-4128	122	6	.	.	PUNCT
ejpam-4128	123	1	a	a	DET
ejpam-4128	123	2	set	set	ADJ
ejpam-4128	123	3	cis	cis	NOUN
ejpam-4128	123	4	convex	convex	NOUN
ejpam-4128	123	5	if	if	SCONJ
ejpam-4128	123	6	the	the	DET
ejpam-4128	123	7	line	line	NOUN
ejpam-4128	123	8	segment	segment	NOUN
ejpam-4128	123	9	between	between	ADP
ejpam-4128	123	10	any	any	DET
ejpam-4128	123	11	points	point	NOUN
ejpam-4128	123	12	in	in	ADP
ejpam-4128	123	13	c	c	PROPN
ejpam-4128	123	14	lies	lie	NOUN
ejpam-4128	123	15	in	in	ADP
ejpam-4128	123	16	c.	c.	NOUN
ejpam-4128	123	17	for	for	ADP
ejpam-4128	123	18	any	any	DET
ejpam-4128	123	19	x1	x1	PROPN
ejpam-4128	123	20	,	,	PUNCT
ejpam-4128	123	21	x2	x2	PROPN
ejpam-4128	123	22	∈	∈	PROPN
ejpam-4128	123	23	cand	cand	NOUN
ejpam-4128	123	24	any	any	DET
ejpam-4128	123	25	θ	θ	NOUN
ejpam-4128	123	26	with	with	ADP
ejpam-4128	123	27	0	0	NUM
ejpam-4128	123	28	≤	≤	NUM
ejpam-4128	123	29	θ	θ	PROPN
ejpam-4128	123	30	≤	≤	NUM
ejpam-4128	123	31	1	1	NUM
ejpam-4128	123	32	,	,	PUNCT
ejpam-4128	123	33	the	the	DET
ejpam-4128	123	34	θ	θ	X
ejpam-4128	123	35	x1	x1	PROPN
ejpam-4128	124	1	+	+	CCONJ
ejpam-4128	124	2	(	(	PUNCT
ejpam-4128	124	3	1−	1−	NUM
ejpam-4128	124	4	θ)x2	θ)x2	PROPN
ejpam-4128	124	5	∈	∈	PROPN
ejpam-4128	124	6	c.	c.	NOUN
ejpam-4128	124	7	definition	definition	NOUN
ejpam-4128	124	8	2.9	2.9	NUM
ejpam-4128	125	1	[	[	X
ejpam-4128	125	2	7	7	NUM
ejpam-4128	125	3	]	]	PUNCT
ejpam-4128	125	4	.	.	PUNCT
ejpam-4128	126	1	a	a	DET
ejpam-4128	126	2	function	function	NOUN
ejpam-4128	126	3	f	f	NOUN
ejpam-4128	126	4	:	:	PUNCT
ejpam-4128	126	5	rn	rn	PROPN
ejpam-4128	126	6	→	→	SYM
ejpam-4128	126	7	r	r	NOUN
ejpam-4128	126	8	is	be	AUX
ejpam-4128	126	9	convex	convex	ADJ
ejpam-4128	126	10	if	if	SCONJ
ejpam-4128	126	11	the	the	DET
ejpam-4128	126	12	domain	domain	NOUN
ejpam-4128	126	13	of	of	ADP
ejpam-4128	126	14	f	f	PROPN
ejpam-4128	126	15	is	be	AUX
ejpam-4128	126	16	a	a	DET
ejpam-4128	126	17	convex	convex	NOUN
ejpam-4128	126	18	set	set	VERB
ejpam-4128	126	19	for	for	ADP
ejpam-4128	126	20	all	all	DET
ejpam-4128	126	21	x	x	NOUN
ejpam-4128	126	22	,	,	PUNCT
ejpam-4128	126	23	y	y	PROPN
ejpam-4128	126	24	∈	∈	PROPN
ejpam-4128	126	25	domain	domain	NOUN
ejpam-4128	126	26	f	f	NOUN
ejpam-4128	126	27	,	,	PUNCT
ejpam-4128	126	28	and	and	CCONJ
ejpam-4128	126	29	f(θ	f(θ	NOUN
ejpam-4128	126	30	x+	x+	NUM
ejpam-4128	126	31	(	(	PUNCT
ejpam-4128	126	32	1−	1−	NUM
ejpam-4128	126	33	θ)y	θ)y	NOUN
ejpam-4128	126	34	)	)	PUNCT
ejpam-4128	126	35	≤	≤	NUM
ejpam-4128	127	1	θ	θ	PROPN
ejpam-4128	127	2	f(x	f(x	PROPN
ejpam-4128	127	3	)	)	PUNCT
ejpam-4128	128	1	+	+	CCONJ
ejpam-4128	128	2	(	(	PUNCT
ejpam-4128	128	3	1−	1−	NUM
ejpam-4128	128	4	θ)f(y	θ)f(y	NUM
ejpam-4128	128	5	)	)	PUNCT
ejpam-4128	128	6	,	,	PUNCT
ejpam-4128	128	7	where	where	SCONJ
ejpam-4128	128	8	0	0	NUM
ejpam-4128	128	9	≤	≤	NUM
ejpam-4128	128	10	θ	θ	PROPN
ejpam-4128	128	11	≤	≤	NUM
ejpam-4128	128	12	1	1	NUM
ejpam-4128	128	13	.	.	X
ejpam-4128	129	1	3	3	X
ejpam-4128	129	2	.	.	PUNCT
ejpam-4128	130	1	the	the	DET
ejpam-4128	130	2	new	new	ADJ
ejpam-4128	130	3	search	search	NOUN
ejpam-4128	130	4	direction	direction	NOUN
ejpam-4128	130	5	and	and	CCONJ
ejpam-4128	130	6	its	its	PRON
ejpam-4128	130	7	motivation	motivation	NOUN
ejpam-4128	130	8	the	the	DET
ejpam-4128	130	9	cg	cg	NOUN
ejpam-4128	130	10	method	method	NOUN
ejpam-4128	130	11	has	have	AUX
ejpam-4128	130	12	become	become	VERB
ejpam-4128	130	13	very	very	ADV
ejpam-4128	130	14	rich	rich	ADJ
ejpam-4128	130	15	in	in	ADP
ejpam-4128	130	16	recent	recent	ADJ
ejpam-4128	130	17	years	year	NOUN
ejpam-4128	130	18	.	.	PUNCT
ejpam-4128	131	1	the	the	DET
ejpam-4128	131	2	main	main	ADJ
ejpam-4128	131	3	goal	goal	NOUN
ejpam-4128	131	4	is	be	AUX
ejpam-4128	131	5	to	to	PART
ejpam-4128	131	6	develop	develop	VERB
ejpam-4128	131	7	a	a	DET
ejpam-4128	131	8	new	new	ADJ
ejpam-4128	131	9	cg	cg	NOUN
ejpam-4128	131	10	method	method	NOUN
ejpam-4128	131	11	robust	robust	ADJ
ejpam-4128	131	12	and	and	CCONJ
ejpam-4128	131	13	efficient	efficient	ADJ
ejpam-4128	131	14	to	to	PART
ejpam-4128	131	15	solve	solve	VERB
ejpam-4128	131	16	large	large	ADJ
ejpam-4128	131	17	scale	scale	NOUN
ejpam-4128	131	18	unconstrained	unconstrained	ADJ
ejpam-4128	131	19	optimization	optimization	NOUN
ejpam-4128	131	20	problems	problem	NOUN
ejpam-4128	131	21	.	.	PUNCT
ejpam-4128	132	1	in	in	ADP
ejpam-4128	132	2	addition	addition	NOUN
ejpam-4128	132	3	,	,	PUNCT
ejpam-4128	132	4	the	the	DET
ejpam-4128	132	5	cg	cg	NOUN
ejpam-4128	132	6	method	method	NOUN
ejpam-4128	132	7	can	can	AUX
ejpam-4128	132	8	be	be	AUX
ejpam-4128	132	9	applied	apply	VERB
ejpam-4128	132	10	in	in	ADP
ejpam-4128	132	11	several	several	ADJ
ejpam-4128	132	12	fields	field	NOUN
ejpam-4128	132	13	,	,	PUNCT
ejpam-4128	132	14	as	as	SCONJ
ejpam-4128	132	15	mentioned	mention	VERB
ejpam-4128	132	16	before	before	ADV
ejpam-4128	132	17	.	.	PUNCT
ejpam-4128	133	1	thus	thus	ADV
ejpam-4128	133	2	,	,	PUNCT
ejpam-4128	133	3	to	to	PART
ejpam-4128	133	4	overcome	overcome	VERB
ejpam-4128	133	5	the	the	DET
ejpam-4128	133	6	convergence	convergence	NOUN
ejpam-4128	133	7	properties	property	NOUN
ejpam-4128	133	8	of	of	ADP
ejpam-4128	133	9	the	the	DET
ejpam-4128	133	10	ls	ls	PROPN
ejpam-4128	133	11	cg	cg	NOUN
ejpam-4128	133	12	method	method	NOUN
ejpam-4128	133	13	and	and	CCONJ
ejpam-4128	133	14	to	to	PART
ejpam-4128	133	15	improve	improve	VERB
ejpam-4128	133	16	the	the	DET
ejpam-4128	133	17	efficiency	efficiency	NOUN
ejpam-4128	133	18	of	of	ADP
ejpam-4128	133	19	dftcghs	dftcgh	NOUN
ejpam-4128	133	20	k	k	X
ejpam-4128	133	21	,	,	PUNCT
ejpam-4128	133	22	we	we	PRON
ejpam-4128	133	23	construct	construct	VERB
ejpam-4128	133	24	the	the	DET
ejpam-4128	133	25	following	follow	VERB
ejpam-4128	133	26	search	search	NOUN
ejpam-4128	133	27	direction	direction	NOUN
ejpam-4128	133	28	based	base	VERB
ejpam-4128	133	29	on	on	ADP
ejpam-4128	133	30	dl	dl	PROPN
ejpam-4128	133	31	and	and	CCONJ
ejpam-4128	133	32	dftcghs	dftcgh	VERB
ejpam-4128	133	33	k	k	PROPN
ejpam-4128	133	34	search	search	NOUN
ejpam-4128	133	35	directions	direction	NOUN
ejpam-4128	133	36	as	as	SCONJ
ejpam-4128	133	37	follows	follow	VERB
ejpam-4128	133	38	s.	s.	PROPN
ejpam-4128	133	39	ismail	ismail	PROPN
ejpam-4128	133	40	et	et	PROPN
ejpam-4128	133	41	al	al	PROPN
ejpam-4128	133	42	.	.	PUNCT
ejpam-4128	133	43	/	/	SYM
ejpam-4128	133	44	eur	eur	PROPN
ejpam-4128	133	45	.	.	PUNCT
ejpam-4128	134	1	j.	j.	PROPN
ejpam-4128	134	2	pure	pure	PROPN
ejpam-4128	134	3	appl	appl	PROPN
ejpam-4128	134	4	.	.	PROPN
ejpam-4128	134	5	math	math	PROPN
ejpam-4128	134	6	,	,	PUNCT
ejpam-4128	134	7	14	14	NUM
ejpam-4128	134	8	(	(	PUNCT
ejpam-4128	134	9	4	4	NUM
ejpam-4128	134	10	)	)	PUNCT
ejpam-4128	134	11	(	(	PUNCT
ejpam-4128	134	12	2021	2021	NUM
ejpam-4128	134	13	)	)	PUNCT
ejpam-4128	134	14	,	,	PUNCT
ejpam-4128	134	15	1429	1429	NUM
ejpam-4128	134	16	-	-	SYM
ejpam-4128	134	17	1456	1456	NUM
ejpam-4128	134	18	1435	1435	NUM
ejpam-4128	134	19	dftcgls	dftcgl	NOUN
ejpam-4128	135	1	k	k	NOUN
ejpam-4128	135	2	=	=	PUNCT
ejpam-4128	135	3	−gk+	−gk+	X
ejpam-4128	135	4	(	(	PUNCT
ejpam-4128	135	5	−	−	NOUN
ejpam-4128	135	6	gtk	gtk	NOUN
ejpam-4128	135	7	yk−1	yk−1	PROPN
ejpam-4128	135	8	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	135	9	−	−	X
ejpam-4128	135	10	tk	tk	PROPN
ejpam-4128	135	11	gtk	gtk	NOUN
ejpam-4128	135	12	sk−1	sk−1	PROPN
ejpam-4128	135	13	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	135	14	)	)	PUNCT
ejpam-4128	135	15	dk−1	dk−1	PROPN
ejpam-4128	135	16	+	+	CCONJ
ejpam-4128	135	17	(	(	PUNCT
ejpam-4128	135	18	gtk	gtk	NOUN
ejpam-4128	135	19	dk−1	dk−1	NOUN
ejpam-4128	135	20	dtk−1gk−1	dtk−1gk−1	NUM
ejpam-4128	135	21	)	)	PUNCT
ejpam-4128	135	22	(	(	PUNCT
ejpam-4128	135	23	yk−1−sk−1	yk−1−sk−1	NOUN
ejpam-4128	135	24	)	)	PUNCT
ejpam-4128	135	25	,	,	PUNCT
ejpam-4128	135	26	(	(	PUNCT
ejpam-4128	135	27	10	10	NUM
ejpam-4128	135	28	)	)	PUNCT
ejpam-4128	135	29	where	where	SCONJ
ejpam-4128	135	30	tk	tk	PROPN
ejpam-4128	135	31	=	=	PRON
ejpam-4128	135	32	∥sk∥	∥sk∥	VERB
ejpam-4128	135	33	∥yk−1∥	∥yk−1∥	NOUN
ejpam-4128	135	34	.	.	PUNCT
ejpam-4128	136	1	in	in	ADP
ejpam-4128	136	2	following	follow	VERB
ejpam-4128	136	3	sections	section	NOUN
ejpam-4128	136	4	,	,	PUNCT
ejpam-4128	136	5	we	we	PRON
ejpam-4128	136	6	assume	assume	VERB
ejpam-4128	136	7	that	that	SCONJ
ejpam-4128	136	8	:	:	PUNCT
ejpam-4128	136	9	χk	χk	NOUN
ejpam-4128	136	10	=	=	SYM
ejpam-4128	136	11	βls	βls	NOUN
ejpam-4128	137	1	k	k	PROPN
ejpam-4128	137	2	−	−	PROPN
ejpam-4128	137	3	tk	tk	PROPN
ejpam-4128	137	4	gtk	gtk	NOUN
ejpam-4128	137	5	sk−1	sk−1	PROPN
ejpam-4128	137	6	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	137	7	and	and	CCONJ
ejpam-4128	137	8	θk	θk	NOUN
ejpam-4128	137	9	=	=	SYM
ejpam-4128	137	10	(	(	PUNCT
ejpam-4128	137	11	gtk	gtk	NOUN
ejpam-4128	137	12	dk−1	dk−1	NOUN
ejpam-4128	137	13	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	137	14	)	)	PUNCT
ejpam-4128	137	15	.	.	PUNCT
ejpam-4128	138	1	if	if	SCONJ
ejpam-4128	138	2	we	we	PRON
ejpam-4128	138	3	use	use	VERB
ejpam-4128	138	4	exact	exact	ADJ
ejpam-4128	138	5	line	line	NOUN
ejpam-4128	138	6	search	search	NOUN
ejpam-4128	138	7	,	,	PUNCT
ejpam-4128	138	8	the	the	DET
ejpam-4128	138	9	equation	equation	NOUN
ejpam-4128	138	10	can	can	AUX
ejpam-4128	138	11	be	be	AUX
ejpam-4128	138	12	reduced	reduce	VERB
ejpam-4128	138	13	to	to	ADP
ejpam-4128	138	14	the	the	DET
ejpam-4128	138	15	original	original	ADJ
ejpam-4128	138	16	ls	ls	PROPN
ejpam-4128	138	17	.	.	PUNCT
ejpam-4128	139	1	since	since	SCONJ
ejpam-4128	139	2	gtk	gtk	NOUN
ejpam-4128	139	3	dk−1	dk−1	NOUN
ejpam-4128	139	4	=	=	SYM
ejpam-4128	139	5	0	0	NUM
ejpam-4128	139	6	,	,	PUNCT
ejpam-4128	139	7	and	and	CCONJ
ejpam-4128	139	8	gtk	gtk	VERB
ejpam-4128	139	9	sk−1	sk−1	PROPN
ejpam-4128	139	10	=	=	SYM
ejpam-4128	139	11	αkg	αkg	PROPN
ejpam-4128	139	12	t	t	PROPN
ejpam-4128	139	13	k	k	PROPN
ejpam-4128	139	14	dk−1	dk−1	PROPN
ejpam-4128	139	15	,	,	PUNCT
ejpam-4128	139	16	we	we	PRON
ejpam-4128	139	17	obtain	obtain	VERB
ejpam-4128	139	18	dftcghs	dftcgh	NOUN
ejpam-4128	139	19	k	k	NOUN
ejpam-4128	139	20	=	=	PUNCT
ejpam-4128	139	21	−gk	−gk	PROPN
ejpam-4128	139	22	+	+	CCONJ
ejpam-4128	139	23	(	(	PUNCT
ejpam-4128	139	24	βls	βls	NOUN
ejpam-4128	139	25	k	k	NOUN
ejpam-4128	139	26	)	)	PUNCT
ejpam-4128	139	27	dk−1	dk−1	PROPN
ejpam-4128	139	28	.	.	PUNCT
ejpam-4128	140	1	algorithm	algorithm	PROPN
ejpam-4128	140	2	1	1	NUM
ejpam-4128	140	3	describes	describe	VERB
ejpam-4128	140	4	the	the	DET
ejpam-4128	140	5	steps	step	NOUN
ejpam-4128	140	6	of	of	ADP
ejpam-4128	140	7	cg	cg	NOUN
ejpam-4128	140	8	method	method	NOUN
ejpam-4128	140	9	to	to	PART
ejpam-4128	140	10	obtain	obtain	VERB
ejpam-4128	140	11	the	the	DET
ejpam-4128	140	12	stationary	stationary	ADJ
ejpam-4128	140	13	point	point	NOUN
ejpam-4128	140	14	using	use	VERB
ejpam-4128	140	15	swp	swp	PROPN
ejpam-4128	140	16	line	line	NOUN
ejpam-4128	140	17	search	search	NOUN
ejpam-4128	140	18	and	and	CCONJ
ejpam-4128	140	19	equation	equation	NOUN
ejpam-4128	140	20	(	(	PUNCT
ejpam-4128	140	21	12	12	NUM
ejpam-4128	140	22	)	)	PUNCT
ejpam-4128	140	23	with	with	ADP
ejpam-4128	140	24	stopping	stop	VERB
ejpam-4128	140	25	criteria∥gk∥	criteria∥gk∥	NOUN
ejpam-4128	140	26	≤	≤	ADV
ejpam-4128	140	27	10−6	10−6	NUM
ejpam-4128	140	28	.	.	PUNCT
ejpam-4128	141	1	algorithm	algorithm	NOUN
ejpam-4128	141	2	1	1	NUM
ejpam-4128	141	3	step	step	NOUN
ejpam-4128	141	4	1	1	NUM
ejpam-4128	141	5	.	.	PUNCT
ejpam-4128	141	6	set	set	VERB
ejpam-4128	141	7	a	a	DET
ejpam-4128	141	8	starting	starting	NOUN
ejpam-4128	141	9	point	point	NOUN
ejpam-4128	141	10	x1	x1	PROPN
ejpam-4128	141	11	.	.	PUNCT
ejpam-4128	142	1	this	this	DET
ejpam-4128	142	2	initial	initial	ADJ
ejpam-4128	142	3	point	point	NOUN
ejpam-4128	142	4	can	can	AUX
ejpam-4128	142	5	be	be	AUX
ejpam-4128	142	6	arbitrary	arbitrary	ADJ
ejpam-4128	142	7	or	or	CCONJ
ejpam-4128	142	8	standard	standard	ADJ
ejpam-4128	142	9	for	for	ADP
ejpam-4128	142	10	scientific	scientific	ADJ
ejpam-4128	142	11	functions	function	NOUN
ejpam-4128	142	12	.	.	PUNCT
ejpam-4128	143	1	the	the	DET
ejpam-4128	143	2	initial	initial	ADJ
ejpam-4128	143	3	search	search	NOUN
ejpam-4128	143	4	direction	direction	NOUN
ejpam-4128	143	5	is	be	AUX
ejpam-4128	143	6	the	the	DET
ejpam-4128	143	7	negative	negative	ADJ
ejpam-4128	143	8	gradient	gradient	NOUN
ejpam-4128	143	9	,	,	PUNCT
ejpam-4128	143	10	i.e.	i.e.	X
ejpam-4128	143	11	d1	d1	PROPN
ejpam-4128	143	12	=	=	PUNCT
ejpam-4128	143	13	−g1	−g1	VERB
ejpam-4128	143	14	.	.	PUNCT
ejpam-4128	144	1	let	let	VERB
ejpam-4128	144	2	k	k	NOUN
ejpam-4128	144	3	:	:	PUNCT
ejpam-4128	144	4	=	=	SYM
ejpam-4128	144	5	1	1	X
ejpam-4128	144	6	.	.	X
ejpam-4128	144	7	step	step	NOUN
ejpam-4128	144	8	2	2	NUM
ejpam-4128	144	9	.	.	PUNCT
ejpam-4128	145	1	if	if	SCONJ
ejpam-4128	145	2	the	the	DET
ejpam-4128	145	3	stopping	stopping	NOUN
ejpam-4128	145	4	condition	condition	NOUN
ejpam-4128	145	5	is	be	AUX
ejpam-4128	145	6	satisfied	satisfied	ADJ
ejpam-4128	145	7	,	,	PUNCT
ejpam-4128	145	8	then	then	ADV
ejpam-4128	145	9	stop	stop	VERB
ejpam-4128	145	10	.	.	PUNCT
ejpam-4128	146	1	step	step	NOUN
ejpam-4128	146	2	3	3	NUM
ejpam-4128	146	3	.	.	PUNCT
ejpam-4128	146	4	compute	compute	VERB
ejpam-4128	146	5	the	the	DET
ejpam-4128	146	6	search	search	NOUN
ejpam-4128	146	7	direction	direction	NOUN
ejpam-4128	146	8	dk	dk	PROPN
ejpam-4128	146	9	based	base	VERB
ejpam-4128	146	10	on	on	ADP
ejpam-4128	146	11	equation	equation	NOUN
ejpam-4128	146	12	(	(	PUNCT
ejpam-4128	146	13	2	2	X
ejpam-4128	146	14	)	)	PUNCT
ejpam-4128	146	15	using	use	VERB
ejpam-4128	146	16	equation	equation	NOUN
ejpam-4128	146	17	(	(	PUNCT
ejpam-4128	146	18	10	10	NUM
ejpam-4128	146	19	)	)	PUNCT
ejpam-4128	146	20	.	.	PUNCT
ejpam-4128	147	1	step	step	NOUN
ejpam-4128	147	2	4	4	NUM
ejpam-4128	147	3	.	.	PUNCT
ejpam-4128	147	4	compute	compute	VERB
ejpam-4128	147	5	the	the	DET
ejpam-4128	147	6	step	step	NOUN
ejpam-4128	147	7	size	size	NOUN
ejpam-4128	147	8	αk	αk	ADP
ejpam-4128	147	9	using	use	VERB
ejpam-4128	147	10	equations	equation	NOUN
ejpam-4128	147	11	(	(	PUNCT
ejpam-4128	147	12	4	4	NUM
ejpam-4128	147	13	)	)	PUNCT
ejpam-4128	147	14	and	and	CCONJ
ejpam-4128	147	15	(	(	PUNCT
ejpam-4128	147	16	5	5	NUM
ejpam-4128	147	17	)	)	PUNCT
ejpam-4128	147	18	.	.	PUNCT
ejpam-4128	148	1	step	step	NOUN
ejpam-4128	148	2	5	5	NUM
ejpam-4128	148	3	.	.	PUNCT
ejpam-4128	148	4	update	update	NOUN
ejpam-4128	148	5	xk+1	xk+1	PROPN
ejpam-4128	148	6	based	base	VERB
ejpam-4128	148	7	on	on	ADP
ejpam-4128	148	8	equation	equation	NOUN
ejpam-4128	148	9	(	(	PUNCT
ejpam-4128	148	10	2	2	NUM
ejpam-4128	148	11	)	)	PUNCT
ejpam-4128	148	12	.	.	PUNCT
ejpam-4128	149	1	step	step	NOUN
ejpam-4128	149	2	6	6	NUM
ejpam-4128	149	3	.	.	PUNCT
ejpam-4128	150	1	set	set	VERB
ejpam-4128	150	2	k	k	NOUN
ejpam-4128	151	1	:	:	PUNCT
ejpam-4128	151	2	=	=	SYM
ejpam-4128	152	1	k	k	X
ejpam-4128	152	2	+	+	CCONJ
ejpam-4128	152	3	1	1	NUM
ejpam-4128	152	4	and	and	CCONJ
ejpam-4128	152	5	go	go	VERB
ejpam-4128	152	6	to	to	PART
ejpam-4128	152	7	step	step	VERB
ejpam-4128	152	8	2	2	NUM
ejpam-4128	152	9	.	.	NOUN
ejpam-4128	152	10	4	4	NUM
ejpam-4128	152	11	.	.	X
ejpam-4128	152	12	convergence	convergence	NOUN
ejpam-4128	152	13	analysis	analysis	NOUN
ejpam-4128	152	14	of	of	ADP
ejpam-4128	152	15	the	the	DET
ejpam-4128	152	16	cg	cg	NOUN
ejpam-4128	152	17	method	method	NOUN
ejpam-4128	152	18	with	with	ADP
ejpam-4128	152	19	algorithm	algorithm	NOUN
ejpam-4128	152	20	1	1	NUM
ejpam-4128	152	21	the	the	DET
ejpam-4128	152	22	descent	descent	NOUN
ejpam-4128	152	23	condition	condition	NOUN
ejpam-4128	152	24	(	(	PUNCT
ejpam-4128	152	25	downhill	downhill	ADV
ejpam-4128	152	26	condition	condition	NOUN
ejpam-4128	152	27	)	)	PUNCT
ejpam-4128	152	28	is	be	AUX
ejpam-4128	152	29	given	give	VERB
ejpam-4128	152	30	by	by	ADP
ejpam-4128	152	31	the	the	DET
ejpam-4128	152	32	following	follow	VERB
ejpam-4128	152	33	equation	equation	NOUN
ejpam-4128	152	34	gtk	gtk	NOUN
ejpam-4128	152	35	dk	dk	PROPN
ejpam-4128	152	36	<	<	X
ejpam-4128	152	37	0	0	PROPN
ejpam-4128	152	38	,	,	PUNCT
ejpam-4128	152	39	∀k	∀k	NOUN
ejpam-4128	152	40	≥	≥	NUM
ejpam-4128	152	41	1	1	NUM
ejpam-4128	152	42	,	,	PUNCT
ejpam-4128	152	43	(	(	PUNCT
ejpam-4128	152	44	11	11	NUM
ejpam-4128	152	45	)	)	PUNCT
ejpam-4128	152	46	which	which	PRON
ejpam-4128	152	47	is	be	AUX
ejpam-4128	152	48	useful	useful	ADJ
ejpam-4128	152	49	in	in	ADP
ejpam-4128	152	50	the	the	DET
ejpam-4128	152	51	study	study	NOUN
ejpam-4128	152	52	of	of	ADP
ejpam-4128	152	53	the	the	DET
ejpam-4128	152	54	cg	cg	NOUN
ejpam-4128	152	55	method	method	NOUN
ejpam-4128	152	56	and	and	CCONJ
ejpam-4128	152	57	serves	serve	VERB
ejpam-4128	152	58	important	important	ADJ
ejpam-4128	152	59	rule	rule	NOUN
ejpam-4128	152	60	in	in	ADP
ejpam-4128	152	61	the	the	DET
ejpam-4128	152	62	proof	proof	NOUN
ejpam-4128	152	63	of	of	ADP
ejpam-4128	152	64	convergence	convergence	NOUN
ejpam-4128	152	65	analysis	analysis	NOUN
ejpam-4128	152	66	.	.	PUNCT
ejpam-4128	153	1	al	al	PROPN
ejpam-4128	153	2	-	-	PUNCT
ejpam-4128	153	3	baali	baali	PROPN
ejpam-4128	153	4	[	[	X
ejpam-4128	153	5	5	5	NUM
ejpam-4128	153	6	]	]	SYM
ejpam-4128	153	7	modified	modified	ADJ
ejpam-4128	153	8	equation	equation	NOUN
ejpam-4128	153	9	(	(	PUNCT
ejpam-4128	153	10	11	11	NUM
ejpam-4128	153	11	)	)	PUNCT
ejpam-4128	153	12	to	to	ADP
ejpam-4128	153	13	the	the	DET
ejpam-4128	153	14	following	follow	VERB
ejpam-4128	153	15	form	form	NOUN
ejpam-4128	153	16	and	and	CCONJ
ejpam-4128	153	17	used	use	VERB
ejpam-4128	153	18	it	it	PRON
ejpam-4128	153	19	to	to	PART
ejpam-4128	153	20	prove	prove	VERB
ejpam-4128	153	21	the	the	DET
ejpam-4128	153	22	fr	fr	ADJ
ejpam-4128	153	23	method	method	NOUN
ejpam-4128	153	24	given	give	VERB
ejpam-4128	153	25	by	by	ADP
ejpam-4128	153	26	gtk	gtk	NOUN
ejpam-4128	153	27	dk	dk	PROPN
ejpam-4128	153	28	≤	≤	PROPN
ejpam-4128	153	29	−c	−c	NOUN
ejpam-4128	153	30	∥gk∥2	∥gk∥2	PROPN
ejpam-4128	153	31	,	,	PUNCT
ejpam-4128	153	32	∀k	∀k	NOUN
ejpam-4128	153	33	≥	≥	NUM
ejpam-4128	153	34	1	1	NUM
ejpam-4128	153	35	,	,	PUNCT
ejpam-4128	153	36	(	(	PUNCT
ejpam-4128	153	37	12	12	NUM
ejpam-4128	153	38	)	)	PUNCT
ejpam-4128	153	39	where	where	SCONJ
ejpam-4128	153	40	c	c	PROPN
ejpam-4128	153	41	∈	∈	PROPN
ejpam-4128	153	42	(	(	PUNCT
ejpam-4128	153	43	0	0	NUM
ejpam-4128	153	44	,	,	PUNCT
ejpam-4128	153	45	1	1	NUM
ejpam-4128	153	46	)	)	PUNCT
ejpam-4128	153	47	.	.	PUNCT
ejpam-4128	154	1	s.	s.	PROPN
ejpam-4128	154	2	ismail	ismail	PROPN
ejpam-4128	154	3	et	et	PROPN
ejpam-4128	154	4	al	al	PROPN
ejpam-4128	154	5	.	.	PUNCT
ejpam-4128	154	6	/	/	SYM
ejpam-4128	154	7	eur	eur	PROPN
ejpam-4128	154	8	.	.	PUNCT
ejpam-4128	155	1	j.	j.	PROPN
ejpam-4128	155	2	pure	pure	PROPN
ejpam-4128	155	3	appl	appl	PROPN
ejpam-4128	155	4	.	.	PROPN
ejpam-4128	155	5	math	math	PROPN
ejpam-4128	155	6	,	,	PUNCT
ejpam-4128	155	7	14	14	NUM
ejpam-4128	155	8	(	(	PUNCT
ejpam-4128	155	9	4	4	NUM
ejpam-4128	155	10	)	)	PUNCT
ejpam-4128	155	11	(	(	PUNCT
ejpam-4128	155	12	2021	2021	NUM
ejpam-4128	155	13	)	)	PUNCT
ejpam-4128	155	14	,	,	PUNCT
ejpam-4128	155	15	1429	1429	NUM
ejpam-4128	155	16	-	-	SYM
ejpam-4128	155	17	1456	1456	NUM
ejpam-4128	155	18	1436	1436	NUM
ejpam-4128	155	19	4.1	4.1	NUM
ejpam-4128	155	20	.	.	PUNCT
ejpam-4128	156	1	the	the	DET
ejpam-4128	156	2	descent	descent	NOUN
ejpam-4128	156	3	property	property	NOUN
ejpam-4128	156	4	of	of	ADP
ejpam-4128	156	5	the	the	DET
ejpam-4128	156	6	new	new	ADJ
ejpam-4128	156	7	search	search	NOUN
ejpam-4128	156	8	direction	direction	NOUN
ejpam-4128	156	9	in	in	ADP
ejpam-4128	156	10	the	the	DET
ejpam-4128	156	11	next	next	ADJ
ejpam-4128	156	12	theorem	theorem	NOUN
ejpam-4128	156	13	,	,	PUNCT
ejpam-4128	156	14	we	we	PRON
ejpam-4128	156	15	show	show	VERB
ejpam-4128	156	16	that	that	SCONJ
ejpam-4128	156	17	the	the	DET
ejpam-4128	156	18	search	search	NOUN
ejpam-4128	156	19	direction	direction	NOUN
ejpam-4128	156	20	in	in	ADP
ejpam-4128	156	21	equation	equation	NOUN
ejpam-4128	156	22	(	(	PUNCT
ejpam-4128	156	23	10	10	NUM
ejpam-4128	156	24	)	)	PUNCT
ejpam-4128	156	25	ensures	ensure	VERB
ejpam-4128	156	26	that	that	SCONJ
ejpam-4128	156	27	the	the	DET
ejpam-4128	156	28	sufficient	sufficient	ADJ
ejpam-4128	156	29	descent	descent	NOUN
ejpam-4128	156	30	condition	condition	NOUN
ejpam-4128	156	31	(	(	PUNCT
ejpam-4128	156	32	12	12	NUM
ejpam-4128	156	33	)	)	PUNCT
ejpam-4128	156	34	is	be	AUX
ejpam-4128	156	35	satisfied	satisfied	ADJ
ejpam-4128	156	36	with	with	ADP
ejpam-4128	156	37	the	the	DET
ejpam-4128	156	38	swp	swp	NOUN
ejpam-4128	156	39	line	line	NOUN
ejpam-4128	156	40	search	search	NOUN
ejpam-4128	156	41	.	.	PUNCT
ejpam-4128	157	1	theorem	theorem	VERB
ejpam-4128	157	2	4.1	4.1	NUM
ejpam-4128	157	3	let	let	VERB
ejpam-4128	157	4	the	the	DET
ejpam-4128	157	5	sequences	sequence	NOUN
ejpam-4128	157	6	{	{	PUNCT
ejpam-4128	157	7	xk	xk	ADJ
ejpam-4128	157	8	}	}	PUNCT
ejpam-4128	157	9	and	and	CCONJ
ejpam-4128	157	10	{	{	PUNCT
ejpam-4128	157	11	dk	dk	NOUN
ejpam-4128	157	12	}	}	PUNCT
ejpam-4128	157	13	be	be	AUX
ejpam-4128	157	14	generated	generate	VERB
ejpam-4128	157	15	using	use	VERB
ejpam-4128	157	16	equations	equation	NOUN
ejpam-4128	157	17	in	in	ADP
ejpam-4128	157	18	algorithm	algorithm	NOUN
ejpam-4128	157	19	1	1	NUM
ejpam-4128	157	20	,	,	PUNCT
ejpam-4128	157	21	where	where	SCONJ
ejpam-4128	157	22	αk	αk	NOUN
ejpam-4128	157	23	is	be	AUX
ejpam-4128	157	24	computed	compute	VERB
ejpam-4128	157	25	using	use	VERB
ejpam-4128	157	26	swp	swp	PROPN
ejpam-4128	157	27	line	line	NOUN
ejpam-4128	157	28	search	search	NOUN
ejpam-4128	157	29	.	.	PUNCT
ejpam-4128	158	1	then	then	ADV
ejpam-4128	158	2	,	,	PUNCT
ejpam-4128	158	3	the	the	DET
ejpam-4128	158	4	sufficient	sufficient	ADJ
ejpam-4128	158	5	descent	descent	NOUN
ejpam-4128	158	6	condition	condition	NOUN
ejpam-4128	158	7	holds	hold	VERB
ejpam-4128	158	8	.	.	PUNCT
ejpam-4128	159	1	proof	proof	NOUN
ejpam-4128	159	2	.	.	PUNCT
ejpam-4128	160	1	multiply	multiply	ADV
ejpam-4128	160	2	(	(	PUNCT
ejpam-4128	160	3	12	12	NUM
ejpam-4128	160	4	)	)	PUNCT
ejpam-4128	160	5	by	by	ADP
ejpam-4128	160	6	gtk	gtk	NOUN
ejpam-4128	160	7	,	,	PUNCT
ejpam-4128	160	8	which	which	PRON
ejpam-4128	160	9	yields	yield	VERB
ejpam-4128	160	10	gtk	gtk	NOUN
ejpam-4128	160	11	dk	dk	NOUN
ejpam-4128	160	12	=	=	PUNCT
ejpam-4128	161	1	−∥gk∥2	−∥gk∥2	PROPN
ejpam-4128	161	2	+	+	CCONJ
ejpam-4128	161	3	(	(	PUNCT
ejpam-4128	161	4	−	−	PROPN
ejpam-4128	161	5	gtk	gtk	NOUN
ejpam-4128	161	6	yk−1	yk−1	PROPN
ejpam-4128	161	7	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	161	8	−	−	ADP
ejpam-4128	161	9	t	t	NOUN
ejpam-4128	161	10	gtk	gtk	NOUN
ejpam-4128	161	11	sk−1	sk−1	PROPN
ejpam-4128	161	12	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	161	13	)	)	PUNCT
ejpam-4128	161	14	gtk	gtk	NOUN
ejpam-4128	161	15	dk−1	dk−1	NOUN
ejpam-4128	161	16	+	+	CCONJ
ejpam-4128	161	17	(	(	PUNCT
ejpam-4128	161	18	gtk	gtk	NOUN
ejpam-4128	161	19	dk−1	dk−1	NOUN
ejpam-4128	161	20	dtk−1gk−1	dtk−1gk−1	ADJ
ejpam-4128	161	21	)	)	PUNCT
ejpam-4128	161	22	gtk	gtk	NOUN
ejpam-4128	161	23	(	(	PUNCT
ejpam-4128	161	24	yk−1	yk−1	PROPN
ejpam-4128	161	25	−	−	PROPN
ejpam-4128	161	26	sk−1	sk−1	PROPN
ejpam-4128	161	27	)	)	PUNCT
ejpam-4128	161	28	,	,	PUNCT
ejpam-4128	161	29	=	=	PUNCT
ejpam-4128	162	1	−∥gk∥2	−∥gk∥2	PROPN
ejpam-4128	162	2	+	+	NUM
ejpam-4128	162	3	(	(	PUNCT
ejpam-4128	162	4	−	−	PROPN
ejpam-4128	162	5	gtk	gtk	NOUN
ejpam-4128	162	6	yk−1	yk−1	PROPN
ejpam-4128	162	7	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	162	8	)	)	PUNCT
ejpam-4128	162	9	gtk	gtk	NOUN
ejpam-4128	162	10	dk−1−t	dk−1−t	NOUN
ejpam-4128	162	11	(	(	PUNCT
ejpam-4128	162	12	gtk	gtk	NOUN
ejpam-4128	162	13	sk−1	sk−1	PROPN
ejpam-4128	162	14	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	162	15	)	)	PUNCT
ejpam-4128	162	16	gtk	gtk	NOUN
ejpam-4128	162	17	dk−1	dk−1	PROPN
ejpam-4128	162	18	+	+	CCONJ
ejpam-4128	162	19	(	(	PUNCT
ejpam-4128	162	20	gtk	gtk	NOUN
ejpam-4128	162	21	dk−1	dk−1	NOUN
ejpam-4128	162	22	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	162	23	)	)	PUNCT
ejpam-4128	162	24	gtk	gtk	NOUN
ejpam-4128	162	25	yk−1−	yk−1−	NUM
ejpam-4128	162	26	(	(	PUNCT
ejpam-4128	162	27	gtk	gtk	NOUN
ejpam-4128	162	28	dk−1	dk−1	NOUN
ejpam-4128	162	29	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	162	30	)	)	PUNCT
ejpam-4128	162	31	gtk	gtk	NOUN
ejpam-4128	162	32	sk−1	sk−1	PROPN
ejpam-4128	162	33	,	,	PUNCT
ejpam-4128	162	34	=	=	PUNCT
ejpam-4128	163	1	−∥gk∥2	−∥gk∥2	NUM
ejpam-4128	163	2	−	−	PROPN
ejpam-4128	163	3	tαk	tαk	NOUN
ejpam-4128	163	4	(	(	PUNCT
ejpam-4128	163	5	gtk	gtk	NOUN
ejpam-4128	163	6	dk−1	dk−1	NOUN
ejpam-4128	163	7	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	163	8	)	)	PUNCT
ejpam-4128	163	9	gtk	gtk	NOUN
ejpam-4128	163	10	dk−1	dk−1	NOUN
ejpam-4128	163	11	−	−	PROPN
ejpam-4128	163	12	αk	αk	NOUN
ejpam-4128	163	13	(	(	PUNCT
ejpam-4128	163	14	gtk	gtk	NOUN
ejpam-4128	163	15	dk−1	dk−1	NOUN
ejpam-4128	163	16	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	163	17	)	)	PUNCT
ejpam-4128	163	18	gtk	gtk	NOUN
ejpam-4128	163	19	dk−1	dk−1	PROPN
ejpam-4128	163	20	,	,	PUNCT
ejpam-4128	163	21	=	=	PUNCT
ejpam-4128	164	1	−∥gk∥2	−∥gk∥2	NUM
ejpam-4128	164	2	−	−	NOUN
ejpam-4128	164	3	αk	αk	NOUN
ejpam-4128	164	4	(	(	PUNCT
ejpam-4128	164	5	∥∥gtk	∥∥gtk	X
ejpam-4128	164	6	dk−1	dk−1	PROPN
ejpam-4128	164	7	∥∥2	∥∥2	PROPN
ejpam-4128	164	8	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	164	9	)	)	PUNCT
ejpam-4128	164	10	(	(	PUNCT
ejpam-4128	164	11	t+	t+	NOUN
ejpam-4128	164	12	1	1	NUM
ejpam-4128	164	13	)	)	PUNCT
ejpam-4128	164	14	.	.	PUNCT
ejpam-4128	165	1	from	from	ADP
ejpam-4128	165	2	the	the	DET
ejpam-4128	165	3	swp	swp	NOUN
ejpam-4128	165	4	line	line	NOUN
ejpam-4128	165	5	search	search	NOUN
ejpam-4128	165	6	,	,	PUNCT
ejpam-4128	165	7	we	we	PRON
ejpam-4128	165	8	obtain	obtain	VERB
ejpam-4128	165	9	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	165	10	>	>	X
ejpam-4128	165	11	0	0	NUM
ejpam-4128	165	12	.	.	PUNCT
ejpam-4128	166	1	thus	thus	ADV
ejpam-4128	166	2	,	,	PUNCT
ejpam-4128	166	3	gtk	gtk	NOUN
ejpam-4128	166	4	dk	dk	PRON
ejpam-4128	166	5	≤	≤	PROPN
ejpam-4128	166	6	−∥gk∥2	−∥gk∥2	NUM
ejpam-4128	166	7	.	.	PUNCT
ejpam-4128	167	1	the	the	DET
ejpam-4128	167	2	proof	proof	NOUN
ejpam-4128	167	3	is	be	AUX
ejpam-4128	167	4	complete	complete	ADJ
ejpam-4128	167	5	.	.	PUNCT
ejpam-4128	168	1	■	■	PUNCT
ejpam-4128	168	2	for	for	ADP
ejpam-4128	168	3	example	example	NOUN
ejpam-4128	168	4	,	,	PUNCT
ejpam-4128	168	5	the	the	DET
ejpam-4128	168	6	zoutendijk	zoutendijk	NOUN
ejpam-4128	168	7	condition	condition	NOUN
ejpam-4128	168	8	[	[	X
ejpam-4128	168	9	33	33	NUM
ejpam-4128	168	10	]	]	PUNCT
ejpam-4128	168	11	presented	present	VERB
ejpam-4128	168	12	a	a	DET
ejpam-4128	168	13	useful	useful	ADJ
ejpam-4128	168	14	lemma	lemma	NOUN
ejpam-4128	168	15	for	for	ADP
ejpam-4128	168	16	analyzing	analyze	VERB
ejpam-4128	168	17	the	the	DET
ejpam-4128	168	18	convergence	convergence	NOUN
ejpam-4128	168	19	property	property	NOUN
ejpam-4128	168	20	of	of	ADP
ejpam-4128	168	21	the	the	DET
ejpam-4128	168	22	cg	cg	NOUN
ejpam-4128	168	23	method	method	NOUN
ejpam-4128	168	24	.	.	PUNCT
ejpam-4128	169	1	the	the	DET
ejpam-4128	169	2	lemma	lemma	PROPN
ejpam-4128	169	3	is	be	AUX
ejpam-4128	169	4	given	give	VERB
ejpam-4128	169	5	as	as	SCONJ
ejpam-4128	169	6	follows	follow	VERB
ejpam-4128	169	7	:	:	PUNCT
ejpam-4128	169	8	lemma	lemma	PROPN
ejpam-4128	169	9	4.1	4.1	NUM
ejpam-4128	169	10	let	let	VERB
ejpam-4128	169	11	assumption	assumption	NOUN
ejpam-4128	169	12	1	1	NUM
ejpam-4128	169	13	holds	hold	NOUN
ejpam-4128	169	14	.	.	PUNCT
ejpam-4128	170	1	consider	consider	VERB
ejpam-4128	170	2	any	any	DET
ejpam-4128	170	3	cg	cg	NOUN
ejpam-4128	170	4	method	method	NOUN
ejpam-4128	170	5	in	in	ADP
ejpam-4128	170	6	the	the	DET
ejpam-4128	170	7	form	form	NOUN
ejpam-4128	170	8	(	(	PUNCT
ejpam-4128	170	9	2	2	NUM
ejpam-4128	170	10	)	)	PUNCT
ejpam-4128	170	11	and	and	CCONJ
ejpam-4128	170	12	(	(	PUNCT
ejpam-4128	170	13	5	5	NUM
ejpam-4128	170	14	)	)	PUNCT
ejpam-4128	170	15	,	,	PUNCT
ejpam-4128	170	16	where	where	SCONJ
ejpam-4128	170	17	αk	αk	ADP
ejpam-4128	170	18	satisfies	satisfy	VERB
ejpam-4128	170	19	the	the	DET
ejpam-4128	170	20	wwp	wwp	PROPN
ejpam-4128	170	21	line	line	NOUN
ejpam-4128	170	22	search	search	NOUN
ejpam-4128	170	23	,	,	PUNCT
ejpam-4128	170	24	in	in	ADP
ejpam-4128	170	25	which	which	PRON
ejpam-4128	170	26	the	the	DET
ejpam-4128	170	27	search	search	NOUN
ejpam-4128	170	28	direction	direction	NOUN
ejpam-4128	170	29	satisfies	satisfy	VERB
ejpam-4128	170	30	the	the	DET
ejpam-4128	170	31	descent	descent	NOUN
ejpam-4128	170	32	condition	condition	NOUN
ejpam-4128	170	33	.	.	PUNCT
ejpam-4128	171	1	then	then	ADV
ejpam-4128	171	2	,	,	PUNCT
ejpam-4128	171	3	the	the	DET
ejpam-4128	171	4	following	follow	VERB
ejpam-4128	171	5	condition	condition	NOUN
ejpam-4128	171	6	holds	hold	VERB
ejpam-4128	171	7	:	:	PUNCT
ejpam-4128	171	8	∞∑	∞∑	NUM
ejpam-4128	171	9	k=0	k=0	PROPN
ejpam-4128	171	10	(	(	PUNCT
ejpam-4128	171	11	gtk	gtk	NOUN
ejpam-4128	171	12	dk	dk	PROPN
ejpam-4128	171	13	)	)	PUNCT
ejpam-4128	171	14	2	2	NUM
ejpam-4128	171	15	∥dk∥2	∥dk∥2	NOUN
ejpam-4128	171	16	<	<	X
ejpam-4128	171	17	∞.	∞.	PROPN
ejpam-4128	171	18	(	(	PUNCT
ejpam-4128	171	19	13	13	NUM
ejpam-4128	171	20	)	)	PUNCT
ejpam-4128	171	21	4.2	4.2	NUM
ejpam-4128	171	22	.	.	PUNCT
ejpam-4128	172	1	convergence	convergence	NOUN
ejpam-4128	172	2	of	of	ADP
ejpam-4128	172	3	algorithm	algorithm	NOUN
ejpam-4128	172	4	1	1	NUM
ejpam-4128	172	5	with	with	ADP
ejpam-4128	172	6	convex	convex	NOUN
ejpam-4128	172	7	functions	function	NOUN
ejpam-4128	172	8	dai	dai	PROPN
ejpam-4128	172	9	and	and	CCONJ
ejpam-4128	172	10	liao	liao	PROPN
ejpam-4128	172	11	[	[	X
ejpam-4128	172	12	9	9	NUM
ejpam-4128	172	13	]	]	PUNCT
ejpam-4128	172	14	proposed	propose	VERB
ejpam-4128	172	15	useful	useful	ADJ
ejpam-4128	172	16	theorems	theorem	NOUN
ejpam-4128	172	17	(	(	PUNCT
ejpam-4128	172	18	theorem	theorem	ADJ
ejpam-4128	172	19	3.2	3.2	NUM
ejpam-4128	172	20	,	,	PUNCT
ejpam-4128	172	21	theorem	theorem	VERB
ejpam-4128	172	22	3.3	3.3	NUM
ejpam-4128	172	23	,	,	PUNCT
ejpam-4128	172	24	and	and	CCONJ
ejpam-4128	172	25	corollary	corollary	ADJ
ejpam-4128	172	26	3.1	3.1	NUM
ejpam-4128	172	27	)	)	PUNCT
ejpam-4128	172	28	for	for	ADP
ejpam-4128	172	29	convergence	convergence	NOUN
ejpam-4128	172	30	analysis	analysis	NOUN
ejpam-4128	172	31	of	of	ADP
ejpam-4128	172	32	the	the	DET
ejpam-4128	172	33	cg	cg	NOUN
ejpam-4128	172	34	method	method	NOUN
ejpam-4128	172	35	as	as	SCONJ
ejpam-4128	172	36	follows	follow	VERB
ejpam-4128	172	37	:	:	PUNCT
ejpam-4128	172	38	s.	s.	PROPN
ejpam-4128	172	39	ismail	ismail	PROPN
ejpam-4128	172	40	et	et	PROPN
ejpam-4128	172	41	al	al	PROPN
ejpam-4128	172	42	.	.	PUNCT
ejpam-4128	172	43	/	/	SYM
ejpam-4128	172	44	eur	eur	PROPN
ejpam-4128	172	45	.	.	PUNCT
ejpam-4128	173	1	j.	j.	PROPN
ejpam-4128	173	2	pure	pure	PROPN
ejpam-4128	173	3	appl	appl	PROPN
ejpam-4128	173	4	.	.	PROPN
ejpam-4128	173	5	math	math	PROPN
ejpam-4128	173	6	,	,	PUNCT
ejpam-4128	173	7	14	14	NUM
ejpam-4128	173	8	(	(	PUNCT
ejpam-4128	173	9	4	4	NUM
ejpam-4128	173	10	)	)	PUNCT
ejpam-4128	173	11	(	(	PUNCT
ejpam-4128	173	12	2021	2021	NUM
ejpam-4128	173	13	)	)	PUNCT
ejpam-4128	173	14	,	,	PUNCT
ejpam-4128	173	15	1429	1429	NUM
ejpam-4128	173	16	-	-	SYM
ejpam-4128	173	17	1456	1456	NUM
ejpam-4128	173	18	1437	1437	NUM
ejpam-4128	173	19	theorem	theorem	VERB
ejpam-4128	173	20	4.2	4.2	NUM
ejpam-4128	173	21	.	.	PUNCT
ejpam-4128	174	1	suppose	suppose	VERB
ejpam-4128	174	2	assumption	assumption	NOUN
ejpam-4128	174	3	1	1	NUM
ejpam-4128	174	4	holds	hold	NOUN
ejpam-4128	174	5	.	.	PUNCT
ejpam-4128	175	1	consider	consider	VERB
ejpam-4128	175	2	any	any	DET
ejpam-4128	175	3	method	method	NOUN
ejpam-4128	175	4	in	in	ADP
ejpam-4128	175	5	the	the	DET
ejpam-4128	175	6	form	form	NOUN
ejpam-4128	175	7	(	(	PUNCT
ejpam-4128	175	8	2	2	NUM
ejpam-4128	175	9	)	)	PUNCT
ejpam-4128	175	10	and	and	CCONJ
ejpam-4128	175	11	(	(	PUNCT
ejpam-4128	175	12	5	5	NUM
ejpam-4128	175	13	)	)	PUNCT
ejpam-4128	175	14	,	,	PUNCT
ejpam-4128	175	15	where	where	SCONJ
ejpam-4128	175	16	the	the	DET
ejpam-4128	175	17	search	search	NOUN
ejpam-4128	175	18	directed	direct	VERB
ejpam-4128	175	19	is	be	AUX
ejpam-4128	175	20	descent	descent	NOUN
ejpam-4128	175	21	with	with	ADP
ejpam-4128	175	22	the	the	DET
ejpam-4128	175	23	step	step	NOUN
ejpam-4128	175	24	length	length	NOUN
ejpam-4128	175	25	obtained	obtain	VERB
ejpam-4128	175	26	by	by	ADP
ejpam-4128	175	27	swp	swp	PROPN
ejpam-4128	175	28	line	line	NOUN
ejpam-4128	175	29	search	search	NOUN
ejpam-4128	175	30	.	.	PUNCT
ejpam-4128	176	1	then	then	ADV
ejpam-4128	176	2	,	,	PUNCT
ejpam-4128	176	3	either	either	CCONJ
ejpam-4128	176	4	lim	lim	PROPN
ejpam-4128	176	5	inf	inf	PROPN
ejpam-4128	176	6	k→∞	k→∞	NOUN
ejpam-4128	176	7	∥gk∥	∥gk∥	NUM
ejpam-4128	176	8	=	=	SYM
ejpam-4128	176	9	0	0	NUM
ejpam-4128	176	10	,	,	PUNCT
ejpam-4128	176	11	(	(	PUNCT
ejpam-4128	176	12	14	14	NUM
ejpam-4128	176	13	)	)	PUNCT
ejpam-4128	176	14	or	or	CCONJ
ejpam-4128	176	15	∞∑	∞∑	PRON
ejpam-4128	176	16	k=0	k=0	PROPN
ejpam-4128	176	17	∥gk∥4	∥gk∥4	PROPN
ejpam-4128	176	18	∥dk∥2	∥dk∥2	PROPN
ejpam-4128	177	1	<	<	X
ejpam-4128	177	2	∞.	∞.	PROPN
ejpam-4128	177	3	(	(	PUNCT
ejpam-4128	177	4	15	15	NUM
ejpam-4128	177	5	)	)	PUNCT
ejpam-4128	177	6	theorem	theorem	VERB
ejpam-4128	177	7	4.3	4.3	NUM
ejpam-4128	177	8	.	.	PUNCT
ejpam-4128	178	1	suppose	suppose	VERB
ejpam-4128	178	2	assumption	assumption	NOUN
ejpam-4128	178	3	1	1	NUM
ejpam-4128	178	4	holds	hold	NOUN
ejpam-4128	178	5	.	.	PUNCT
ejpam-4128	179	1	consider	consider	VERB
ejpam-4128	179	2	any	any	DET
ejpam-4128	179	3	method	method	NOUN
ejpam-4128	179	4	in	in	ADP
ejpam-4128	179	5	the	the	DET
ejpam-4128	179	6	form	form	NOUN
ejpam-4128	179	7	(	(	PUNCT
ejpam-4128	179	8	2	2	NUM
ejpam-4128	179	9	)	)	PUNCT
ejpam-4128	179	10	and	and	CCONJ
ejpam-4128	179	11	(	(	PUNCT
ejpam-4128	179	12	5	5	NUM
ejpam-4128	179	13	)	)	PUNCT
ejpam-4128	179	14	,	,	PUNCT
ejpam-4128	179	15	where	where	SCONJ
ejpam-4128	179	16	the	the	DET
ejpam-4128	179	17	search	search	NOUN
ejpam-4128	179	18	directed	direct	VERB
ejpam-4128	179	19	is	be	AUX
ejpam-4128	179	20	descent	descent	NOUN
ejpam-4128	179	21	and	and	CCONJ
ejpam-4128	179	22	the	the	DET
ejpam-4128	179	23	step	step	NOUN
ejpam-4128	179	24	length	length	NOUN
ejpam-4128	179	25	is	be	AUX
ejpam-4128	179	26	obtained	obtain	VERB
ejpam-4128	179	27	by	by	ADP
ejpam-4128	179	28	swp	swp	PROPN
ejpam-4128	179	29	line	line	NOUN
ejpam-4128	179	30	search	search	NOUN
ejpam-4128	179	31	.	.	PUNCT
ejpam-4128	180	1	if	if	SCONJ
ejpam-4128	180	2	∞∑	∞∑	DET
ejpam-4128	180	3	k=0	k=0	PROPN
ejpam-4128	180	4	∥gk∥t	∥gk∥t	PROPN
ejpam-4128	180	5	∥dk∥2	∥dk∥2	PUNCT
ejpam-4128	180	6	=	=	PUNCT
ejpam-4128	181	1	+	+	NUM
ejpam-4128	181	2	∞.	∞.	PROPN
ejpam-4128	181	3	(	(	PUNCT
ejpam-4128	181	4	16	16	NUM
ejpam-4128	181	5	)	)	PUNCT
ejpam-4128	181	6	then	then	ADV
ejpam-4128	181	7	,	,	PUNCT
ejpam-4128	181	8	for	for	ADP
ejpam-4128	181	9	any	any	DET
ejpam-4128	181	10	t	t	NOUN
ejpam-4128	181	11	∈	∈	PROPN
ejpam-4128	181	12	[	[	X
ejpam-4128	181	13	0	0	NUM
ejpam-4128	181	14	,	,	PUNCT
ejpam-4128	181	15	4	4	NUM
ejpam-4128	181	16	]	]	PUNCT
ejpam-4128	181	17	,	,	PUNCT
ejpam-4128	181	18	the	the	DET
ejpam-4128	181	19	method	method	NOUN
ejpam-4128	181	20	converges	converge	VERB
ejpam-4128	181	21	in	in	ADP
ejpam-4128	181	22	the	the	DET
ejpam-4128	181	23	sense	sense	NOUN
ejpam-4128	181	24	that	that	SCONJ
ejpam-4128	181	25	lim	lim	PROPN
ejpam-4128	181	26	inf	inf	PROPN
ejpam-4128	181	27	k→∞	k→∞	NOUN
ejpam-4128	181	28	∥gk∥	∥gk∥	NUM
ejpam-4128	181	29	=	=	SYM
ejpam-4128	181	30	0	0	X
ejpam-4128	181	31	.	.	PUNCT
ejpam-4128	181	32	proof	proof	NOUN
ejpam-4128	181	33	.	.	PUNCT
ejpam-4128	182	1	suppose	suppose	VERB
ejpam-4128	182	2	that	that	SCONJ
ejpam-4128	182	3	lim	lim	PROPN
ejpam-4128	182	4	inf	inf	PROPN
ejpam-4128	182	5	k→∞	k→∞	NOUN
ejpam-4128	182	6	∥gk∥	∥gk∥	NOUN
ejpam-4128	182	7	̸=	̸=	PROPN
ejpam-4128	182	8	0	0	NUM
ejpam-4128	182	9	.	.	PUNCT
ejpam-4128	183	1	then	then	ADV
ejpam-4128	183	2	,	,	PUNCT
ejpam-4128	183	3	from	from	ADP
ejpam-4128	183	4	theorem	theorem	ADJ
ejpam-4128	183	5	4.2	4.2	NUM
ejpam-4128	183	6	,	,	PUNCT
ejpam-4128	183	7	we	we	PRON
ejpam-4128	183	8	obtain	obtain	VERB
ejpam-4128	183	9	∞∑	∞∑	PRON
ejpam-4128	183	10	k=0	k=0	PROPN
ejpam-4128	183	11	∥gk∥4	∥gk∥4	PUNCT
ejpam-4128	183	12	∥dk∥2	∥dk∥2	PROPN
ejpam-4128	183	13	<	<	X
ejpam-4128	183	14	∞	∞	PROPN
ejpam-4128	183	15	,	,	PUNCT
ejpam-4128	183	16	(	(	PUNCT
ejpam-4128	183	17	17	17	NUM
ejpam-4128	183	18	)	)	PUNCT
ejpam-4128	183	19	because	because	SCONJ
ejpam-4128	183	20	∥gk∥	∥gk∥	ADJ
ejpam-4128	183	21	is	be	AUX
ejpam-4128	183	22	bounded	bound	VERB
ejpam-4128	183	23	away	away	ADV
ejpam-4128	183	24	from	from	ADP
ejpam-4128	183	25	zero	zero	NUM
ejpam-4128	183	26	andt	andt	CCONJ
ejpam-4128	183	27	∈	∈	PROPN
ejpam-4128	184	1	[	[	X
ejpam-4128	184	2	0	0	NUM
ejpam-4128	184	3	,	,	PUNCT
ejpam-4128	184	4	4	4	NUM
ejpam-4128	184	5	]	]	PUNCT
ejpam-4128	184	6	.	.	PUNCT
ejpam-4128	185	1	it	it	PRON
ejpam-4128	185	2	is	be	AUX
ejpam-4128	185	3	easy	easy	ADJ
ejpam-4128	185	4	to	to	PART
ejpam-4128	185	5	see	see	VERB
ejpam-4128	185	6	that	that	PRON
ejpam-4128	185	7	(	(	PUNCT
ejpam-4128	185	8	17	17	NUM
ejpam-4128	185	9	)	)	PUNCT
ejpam-4128	185	10	contradicts	contradict	VERB
ejpam-4128	185	11	(	(	PUNCT
ejpam-4128	185	12	16	16	NUM
ejpam-4128	185	13	)	)	PUNCT
ejpam-4128	185	14	.	.	PUNCT
ejpam-4128	186	1	thus	thus	ADV
ejpam-4128	186	2	,	,	PUNCT
ejpam-4128	186	3	the	the	DET
ejpam-4128	186	4	theorem	theorem	NOUN
ejpam-4128	186	5	is	be	AUX
ejpam-4128	186	6	true	true	ADJ
ejpam-4128	186	7	and	and	CCONJ
ejpam-4128	186	8	the	the	DET
ejpam-4128	186	9	proof	proof	NOUN
ejpam-4128	186	10	is	be	AUX
ejpam-4128	186	11	complete	complete	ADJ
ejpam-4128	186	12	.	.	PUNCT
ejpam-4128	187	1	■	■	PUNCT
ejpam-4128	187	2	corollary	corollary	ADJ
ejpam-4128	187	3	4.1	4.1	NUM
ejpam-4128	187	4	.	.	PUNCT
ejpam-4128	187	5	suppose	suppose	VERB
ejpam-4128	187	6	that	that	SCONJ
ejpam-4128	187	7	assumption	assumption	NOUN
ejpam-4128	187	8	1	1	NUM
ejpam-4128	187	9	holds	hold	NOUN
ejpam-4128	187	10	.	.	PUNCT
ejpam-4128	188	1	consider	consider	VERB
ejpam-4128	188	2	any	any	DET
ejpam-4128	188	3	conjugate	conjugate	ADJ
ejpam-4128	188	4	gradient	gradient	NOUN
ejpam-4128	188	5	method	method	NOUN
ejpam-4128	188	6	in	in	ADP
ejpam-4128	188	7	the	the	DET
ejpam-4128	188	8	form	form	NOUN
ejpam-4128	188	9	of	of	ADP
ejpam-4128	188	10	equations	equation	NOUN
ejpam-4128	188	11	(	(	PUNCT
ejpam-4128	188	12	2	2	NUM
ejpam-4128	188	13	)	)	PUNCT
ejpam-4128	188	14	and	and	CCONJ
ejpam-4128	188	15	(	(	PUNCT
ejpam-4128	188	16	5	5	NUM
ejpam-4128	188	17	)	)	PUNCT
ejpam-4128	188	18	,	,	PUNCT
ejpam-4128	188	19	where	where	SCONJ
ejpam-4128	188	20	dk	dk	PROPN
ejpam-4128	188	21	is	be	AUX
ejpam-4128	188	22	a	a	DET
ejpam-4128	188	23	descent	descent	NOUN
ejpam-4128	188	24	direction	direction	NOUN
ejpam-4128	188	25	and	and	CCONJ
ejpam-4128	188	26	αk	αk	NOUN
ejpam-4128	188	27	is	be	AUX
ejpam-4128	188	28	obtained	obtain	VERB
ejpam-4128	188	29	by	by	ADP
ejpam-4128	188	30	the	the	DET
ejpam-4128	188	31	strong	strong	ADJ
ejpam-4128	188	32	wolfe	wolfe	PROPN
ejpam-4128	188	33	line	line	NOUN
ejpam-4128	188	34	search	search	NOUN
ejpam-4128	188	35	.	.	PUNCT
ejpam-4128	189	1	if	if	SCONJ
ejpam-4128	189	2	∞∑	∞∑	PRON
ejpam-4128	189	3	k≥1	k≥1	NOUN
ejpam-4128	189	4	1	1	NUM
ejpam-4128	189	5	∥dk∥2	∥dk∥2	NOUN
ejpam-4128	189	6	=	=	SYM
ejpam-4128	189	7	∞	∞	PROPN
ejpam-4128	189	8	,	,	PUNCT
ejpam-4128	189	9	(	(	PUNCT
ejpam-4128	189	10	18	18	NUM
ejpam-4128	189	11	)	)	PUNCT
ejpam-4128	189	12	then	then	ADV
ejpam-4128	189	13	lim	lim	PROPN
ejpam-4128	189	14	inf	inf	PROPN
ejpam-4128	189	15	k→∞	k→∞	NOUN
ejpam-4128	189	16	∥gk∥	∥gk∥	NOUN
ejpam-4128	189	17	=	=	SYM
ejpam-4128	189	18	0	0	X
ejpam-4128	189	19	.	.	PUNCT
ejpam-4128	189	20	proof	proof	NOUN
ejpam-4128	189	21	.	.	PUNCT
ejpam-4128	190	1	from	from	ADP
ejpam-4128	190	2	theorem	theorem	ADJ
ejpam-4128	190	3	4.3	4.3	NUM
ejpam-4128	190	4	and	and	CCONJ
ejpam-4128	190	5	using	use	VERB
ejpam-4128	190	6	t	t	PROPN
ejpam-4128	190	7	=	=	SYM
ejpam-4128	190	8	0	0	NUM
ejpam-4128	190	9	,	,	PUNCT
ejpam-4128	190	10	we	we	PRON
ejpam-4128	190	11	obtain	obtain	VERB
ejpam-4128	190	12	lim	lim	PROPN
ejpam-4128	190	13	inf	inf	PROPN
ejpam-4128	190	14	k→∞	k→∞	NOUN
ejpam-4128	190	15	∥gk∥	∥gk∥	NOUN
ejpam-4128	191	1	=	=	SYM
ejpam-4128	191	2	0	0	NUM
ejpam-4128	191	3	.	.	PUNCT
ejpam-4128	192	1	the	the	DET
ejpam-4128	192	2	following	follow	VERB
ejpam-4128	192	3	theorem	theorem	NOUN
ejpam-4128	192	4	shows	show	VERB
ejpam-4128	192	5	that	that	SCONJ
ejpam-4128	192	6	the	the	DET
ejpam-4128	192	7	new	new	ADJ
ejpam-4128	192	8	search	search	NOUN
ejpam-4128	192	9	direction	direction	NOUN
ejpam-4128	192	10	satisfies	satisfy	VERB
ejpam-4128	192	11	the	the	DET
ejpam-4128	192	12	convergences	convergence	NOUN
ejpam-4128	192	13	analysis	analysis	NOUN
ejpam-4128	192	14	with	with	ADP
ejpam-4128	192	15	convex	convex	NOUN
ejpam-4128	192	16	functions	function	NOUN
ejpam-4128	192	17	.	.	PUNCT
ejpam-4128	193	1	s.	s.	PROPN
ejpam-4128	193	2	ismail	ismail	PROPN
ejpam-4128	193	3	et	et	PROPN
ejpam-4128	193	4	al	al	PROPN
ejpam-4128	193	5	.	.	PUNCT
ejpam-4128	193	6	/	/	SYM
ejpam-4128	193	7	eur	eur	PROPN
ejpam-4128	193	8	.	.	PUNCT
ejpam-4128	194	1	j.	j.	PROPN
ejpam-4128	194	2	pure	pure	PROPN
ejpam-4128	194	3	appl	appl	PROPN
ejpam-4128	194	4	.	.	PROPN
ejpam-4128	194	5	math	math	PROPN
ejpam-4128	194	6	,	,	PUNCT
ejpam-4128	194	7	14	14	NUM
ejpam-4128	194	8	(	(	PUNCT
ejpam-4128	194	9	4	4	NUM
ejpam-4128	194	10	)	)	PUNCT
ejpam-4128	194	11	(	(	PUNCT
ejpam-4128	194	12	2021	2021	NUM
ejpam-4128	194	13	)	)	PUNCT
ejpam-4128	194	14	,	,	PUNCT
ejpam-4128	194	15	1429	1429	NUM
ejpam-4128	194	16	-	-	SYM
ejpam-4128	194	17	1456	1456	NUM
ejpam-4128	194	18	1438	1438	NUM
ejpam-4128	194	19	theorem	theorem	VERB
ejpam-4128	194	20	4.4	4.4	NUM
ejpam-4128	194	21	.	.	PUNCT
ejpam-4128	194	22	suppose	suppose	VERB
ejpam-4128	194	23	that	that	SCONJ
ejpam-4128	194	24	assumption	assumption	NOUN
ejpam-4128	194	25	1	1	NUM
ejpam-4128	194	26	holds	hold	NOUN
ejpam-4128	194	27	.	.	PUNCT
ejpam-4128	195	1	consider	consider	VERB
ejpam-4128	195	2	the	the	DET
ejpam-4128	195	3	cg	cg	NOUN
ejpam-4128	195	4	method	method	NOUN
ejpam-4128	195	5	in	in	ADP
ejpam-4128	195	6	the	the	DET
ejpam-4128	195	7	forms	form	NOUN
ejpam-4128	195	8	of	of	ADP
ejpam-4128	195	9	equations	equation	NOUN
ejpam-4128	195	10	(	(	PUNCT
ejpam-4128	195	11	2	2	NUM
ejpam-4128	195	12	)	)	PUNCT
ejpam-4128	195	13	and	and	CCONJ
ejpam-4128	195	14	(	(	PUNCT
ejpam-4128	195	15	10	10	NUM
ejpam-4128	195	16	)	)	PUNCT
ejpam-4128	195	17	,	,	PUNCT
ejpam-4128	195	18	and	and	CCONJ
ejpam-4128	195	19	dk	dk	PROPN
ejpam-4128	195	20	as	as	ADP
ejpam-4128	195	21	a	a	DET
ejpam-4128	195	22	descent	descent	NOUN
ejpam-4128	195	23	direction	direction	NOUN
ejpam-4128	195	24	by	by	ADP
ejpam-4128	195	25	using	use	VERB
ejpam-4128	195	26	theorem	theorem	ADJ
ejpam-4128	195	27	3.1	3.1	NUM
ejpam-4128	195	28	,	,	PUNCT
ejpam-4128	195	29	where	where	SCONJ
ejpam-4128	195	30	αk	αk	NOUN
ejpam-4128	195	31	is	be	AUX
ejpam-4128	195	32	obtained	obtain	VERB
ejpam-4128	195	33	using	use	VERB
ejpam-4128	195	34	strong	strong	ADJ
ejpam-4128	195	35	wolfe	wolfe	PROPN
ejpam-4128	195	36	-	-	PUNCT
ejpam-4128	195	37	powell	powell	PROPN
ejpam-4128	195	38	line	line	NOUN
ejpam-4128	195	39	search	search	NOUN
ejpam-4128	195	40	.	.	PUNCT
ejpam-4128	196	1	it	it	PRON
ejpam-4128	196	2	f(x	f(x	PROPN
ejpam-4128	196	3	)	)	PUNCT
ejpam-4128	196	4	is	be	AUX
ejpam-4128	196	5	a	a	DET
ejpam-4128	196	6	uniformly	uniformly	ADV
ejpam-4128	196	7	convex	convex	NOUN
ejpam-4128	196	8	function	function	NOUN
ejpam-4128	196	9	,	,	PUNCT
ejpam-4128	196	10	then	then	ADV
ejpam-4128	196	11	lim	lim	PROPN
ejpam-4128	196	12	inf	inf	PROPN
ejpam-4128	196	13	k→∞	k→∞	NOUN
ejpam-4128	196	14	∥gk∥	∥gk∥	NOUN
ejpam-4128	197	1	=	=	SYM
ejpam-4128	197	2	0	0	X
ejpam-4128	197	3	.	.	PUNCT
ejpam-4128	198	1	proof	proof	NOUN
ejpam-4128	198	2	.	.	PUNCT
ejpam-4128	199	1	because	because	SCONJ
ejpam-4128	199	2	the	the	DET
ejpam-4128	199	3	function	function	NOUN
ejpam-4128	199	4	f(x)is	f(x)is	NOUN
ejpam-4128	199	5	uniformly	uniformly	ADV
ejpam-4128	199	6	convex	convex	NOUN
ejpam-4128	199	7	,	,	PUNCT
ejpam-4128	199	8	there	there	PRON
ejpam-4128	199	9	exists	exist	VERB
ejpam-4128	199	10	a	a	DET
ejpam-4128	199	11	positive	positive	ADJ
ejpam-4128	199	12	constantϖsuch	constantϖsuch	NOUN
ejpam-4128	200	1	that	that	SCONJ
ejpam-4128	200	2	ϖ	ϖ	PRON
ejpam-4128	200	3	∥x−	∥x−	NUM
ejpam-4128	200	4	y∥2	y∥2	NOUN
ejpam-4128	200	5	≤	≤	PROPN
ejpam-4128	200	6	(	(	PUNCT
ejpam-4128	200	7	∇f(x)−∇f(y))t	∇f(x)−∇f(y))t	PROPN
ejpam-4128	200	8	(	(	PUNCT
ejpam-4128	200	9	x−	x−	PROPN
ejpam-4128	200	10	y	y	PROPN
ejpam-4128	200	11	)	)	PUNCT
ejpam-4128	201	1	.	.	PUNCT
ejpam-4128	202	1	for	for	ADP
ejpam-4128	202	2	all	all	DET
ejpam-4128	202	3	x	x	NOUN
ejpam-4128	202	4	,	,	PUNCT
ejpam-4128	202	5	y	y	PROPN
ejpam-4128	202	6	∈	∈	PROPN
ejpam-4128	202	7	ψ	ψ	NOUN
ejpam-4128	202	8	,	,	PUNCT
ejpam-4128	202	9	we	we	PRON
ejpam-4128	202	10	have	have	VERB
ejpam-4128	202	11	dk−1yk−1	dk−1yk−1	VERB
ejpam-4128	202	12	≥	≥	NOUN
ejpam-4128	202	13	ϖαk−1	ϖαk−1	INTJ
ejpam-4128	202	14	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-4128	202	15	.	.	PUNCT
ejpam-4128	203	1	(	(	PUNCT
ejpam-4128	203	2	19	19	NUM
ejpam-4128	203	3	)	)	PUNCT
ejpam-4128	203	4	using	use	VERB
ejpam-4128	203	5	equation	equation	NOUN
ejpam-4128	203	6	(	(	PUNCT
ejpam-4128	203	7	14	14	NUM
ejpam-4128	203	8	)	)	PUNCT
ejpam-4128	203	9	and	and	CCONJ
ejpam-4128	203	10	triangular	triangular	NOUN
ejpam-4128	203	11	inequality	inequality	NOUN
ejpam-4128	203	12	,	,	PUNCT
ejpam-4128	203	13	we	we	PRON
ejpam-4128	203	14	get	get	VERB
ejpam-4128	203	15	∥dk∥	∥dk∥	ADJ
ejpam-4128	203	16	≤	≤	X
ejpam-4128	204	1	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	204	2	(	(	PUNCT
ejpam-4128	204	3	∣∣gtk	∣∣gtk	NOUN
ejpam-4128	204	4	yk−1	yk−1	VERB
ejpam-4128	204	5	∣∣∣∣dtk−1gk−1	∣∣∣∣dtk−1gk−1	NUM
ejpam-4128	204	6	∣∣	∣∣	PUNCT
ejpam-4128	204	7	+	+	CCONJ
ejpam-4128	204	8	tk	tk	PROPN
ejpam-4128	204	9	∣∣gtk	∣∣gtk	NUM
ejpam-4128	204	10	sk−1	sk−1	PROPN
ejpam-4128	204	11	∣∣∣∣dtk−1gk−1	∣∣∣∣dtk−1gk−1	NUM
ejpam-4128	204	12	∣∣	∣∣	X
ejpam-4128	204	13	)	)	PUNCT
ejpam-4128	204	14	∥dk−1∥+	∥dk−1∥+	PROPN
ejpam-4128	204	15	(	(	PUNCT
ejpam-4128	204	16	∣∣gtk	∣∣gtk	NOUN
ejpam-4128	204	17	dk−1	dk−1	NOUN
ejpam-4128	204	18	∣∣∣∣dtk−1gk−1	∣∣∣∣dtk−1gk−1	NUM
ejpam-4128	204	19	∣∣	∣∣	NUM
ejpam-4128	204	20	)	)	PUNCT
ejpam-4128	204	21	(	(	PUNCT
ejpam-4128	204	22	∥yk−1∥+∥sk−1∥	∥yk−1∥+∥sk−1∥	NOUN
ejpam-4128	204	23	)	)	PUNCT
ejpam-4128	204	24	.	.	PUNCT
ejpam-4128	205	1	by	by	ADP
ejpam-4128	205	2	using	use	VERB
ejpam-4128	205	3	equation	equation	NOUN
ejpam-4128	205	4	(	(	PUNCT
ejpam-4128	205	5	18	18	NUM
ejpam-4128	205	6	)	)	PUNCT
ejpam-4128	205	7	,	,	PUNCT
ejpam-4128	205	8	we	we	PRON
ejpam-4128	205	9	have	have	VERB
ejpam-4128	205	10	∥dk∥	∥dk∥	ADJ
ejpam-4128	205	11	≤	≤	X
ejpam-4128	206	1	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	206	2	(	(	PUNCT
ejpam-4128	206	3	(	(	PUNCT
ejpam-4128	206	4	σ	σ	X
ejpam-4128	206	5	+	+	NOUN
ejpam-4128	206	6	1	1	X
ejpam-4128	206	7	)	)	PUNCT
ejpam-4128	206	8	∣∣gtk	∣∣gtk	NUM
ejpam-4128	206	9	yk−1	yk−1	NOUN
ejpam-4128	206	10	∣∣	∣∣	NUM
ejpam-4128	206	11	ϖαk−1	ϖαk−1	PROPN
ejpam-4128	206	12	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-4128	207	1	+	+	CCONJ
ejpam-4128	207	2	tk	tk	PROPN
ejpam-4128	207	3	(	(	PUNCT
ejpam-4128	207	4	σ	σ	PROPN
ejpam-4128	207	5	+	+	PROPN
ejpam-4128	207	6	1	1	X
ejpam-4128	207	7	)	)	PUNCT
ejpam-4128	207	8	∣∣gtk	∣∣gtk	NUM
ejpam-4128	207	9	sk−1	sk−1	ADJ
ejpam-4128	207	10	∣∣	∣∣	NUM
ejpam-4128	207	11	ϖαk−1	ϖαk−1	PROPN
ejpam-4128	207	12	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-4128	207	13	)	)	PUNCT
ejpam-4128	207	14	∥dk−1∥+	∥dk−1∥+	PROPN
ejpam-4128	207	15	(	(	PUNCT
ejpam-4128	207	16	(	(	PUNCT
ejpam-4128	207	17	σ	σ	X
ejpam-4128	207	18	+	+	NOUN
ejpam-4128	207	19	1	1	X
ejpam-4128	207	20	)	)	PUNCT
ejpam-4128	207	21	∣∣gtk	∣∣gtk	NUM
ejpam-4128	207	22	dk−1	dk−1	NOUN
ejpam-4128	207	23	∣∣	∣∣	NUM
ejpam-4128	207	24	ϖαk−1	ϖαk−1	PROPN
ejpam-4128	207	25	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-4128	207	26	)	)	PUNCT
ejpam-4128	207	27	(	(	PUNCT
ejpam-4128	207	28	∥yk−1∥+∥sk−1∥	∥yk−1∥+∥sk−1∥	NOUN
ejpam-4128	207	29	)	)	PUNCT
ejpam-4128	207	30	.	.	PUNCT
ejpam-4128	208	1	also	also	ADV
ejpam-4128	208	2	,	,	PUNCT
ejpam-4128	208	3	using	use	VERB
ejpam-4128	208	4	triangular	triangular	NOUN
ejpam-4128	208	5	inequality	inequality	NOUN
ejpam-4128	208	6	and	and	CCONJ
ejpam-4128	208	7	assumption	assumption	NOUN
ejpam-4128	208	8	1	1	NUM
ejpam-4128	208	9	yields	yield	NOUN
ejpam-4128	208	10	∥dk∥	∥dk∥	VERB
ejpam-4128	208	11	≤	≤	X
ejpam-4128	208	12	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	208	13	(	(	PUNCT
ejpam-4128	208	14	lαk−1(σ+1)∥gk∥∥dk−1∥2	lαk−1(σ+1)∥gk∥∥dk−1∥2	CCONJ
ejpam-4128	208	15	ϖαk−1∥dk−1∥2	ϖαk−1∥dk−1∥2	PROPN
ejpam-4128	208	16	+	+	NUM
ejpam-4128	208	17	t	t	PROPN
ejpam-4128	208	18	αk−1(σ+1)∥gk∥∥dk−1∥2	αk−1(σ+1)∥gk∥∥dk−1∥2	NUM
ejpam-4128	208	19	ϖαk−1∥dk−1∥2	ϖαk−1∥dk−1∥2	NOUN
ejpam-4128	208	20	)	)	PUNCT
ejpam-4128	209	1	+	+	CCONJ
ejpam-4128	209	2	(	(	PUNCT
ejpam-4128	209	3	(	(	PUNCT
ejpam-4128	209	4	σ+1)∥gk∥∥dk−1∥2	σ+1)∥gk∥∥dk−1∥2	X
ejpam-4128	209	5	ϖαk−1∥dk−1∥2	ϖαk−1∥dk−1∥2	NOUN
ejpam-4128	209	6	)	)	PUNCT
ejpam-4128	209	7	(	(	PUNCT
ejpam-4128	209	8	lαk−1	lαk−1	NOUN
ejpam-4128	209	9	+	+	X
ejpam-4128	209	10	αk−1	αk−1	NOUN
ejpam-4128	209	11	)	)	PUNCT
ejpam-4128	209	12	,	,	PUNCT
ejpam-4128	209	13	≤	≤	ADJ
ejpam-4128	209	14	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	209	15	(	(	PUNCT
ejpam-4128	209	16	σ	σ	PROPN
ejpam-4128	209	17	+	+	PROPN
ejpam-4128	209	18	1	1	NUM
ejpam-4128	209	19	)	)	PUNCT
ejpam-4128	209	20	(	(	PUNCT
ejpam-4128	209	21	l∥gk∥	l∥gk∥	ADJ
ejpam-4128	209	22	ϖ	ϖ	PROPN
ejpam-4128	210	1	+	+	X
ejpam-4128	210	2	tk	tk	PROPN
ejpam-4128	210	3	∥gk∥	∥gk∥	NOUN
ejpam-4128	210	4	ϖ	ϖ	PROPN
ejpam-4128	210	5	)	)	PUNCT
ejpam-4128	211	1	+	+	CCONJ
ejpam-4128	211	2	(	(	PUNCT
ejpam-4128	211	3	σ	σ	NOUN
ejpam-4128	211	4	+	+	NOUN
ejpam-4128	211	5	1	1	NUM
ejpam-4128	211	6	)	)	PUNCT
ejpam-4128	211	7	(	(	PUNCT
ejpam-4128	211	8	∥gk∥	∥gk∥	NUM
ejpam-4128	211	9	ϖ	ϖ	NOUN
ejpam-4128	211	10	)	)	PUNCT
ejpam-4128	211	11	(	(	PUNCT
ejpam-4128	211	12	l+	l+	NOUN
ejpam-4128	211	13	1	1	NUM
ejpam-4128	211	14	)	)	PUNCT
ejpam-4128	211	15	,	,	PUNCT
ejpam-4128	211	16	≤	≤	ADJ
ejpam-4128	211	17	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	211	18	(	(	PUNCT
ejpam-4128	211	19	σ	σ	PROPN
ejpam-4128	211	20	+	+	PROPN
ejpam-4128	211	21	1)∥gk∥ϖ	1)∥gk∥ϖ	NUM
ejpam-4128	211	22	(	(	PUNCT
ejpam-4128	211	23	2l+	2l+	NUM
ejpam-4128	211	24	tk	tk	NOUN
ejpam-4128	211	25	+	+	NOUN
ejpam-4128	211	26	1	1	NUM
ejpam-4128	211	27	)	)	PUNCT
ejpam-4128	211	28	.	.	PUNCT
ejpam-4128	212	1	by	by	ADP
ejpam-4128	212	2	using	use	VERB
ejpam-4128	212	3	assumption	assumption	NOUN
ejpam-4128	212	4	1	1	NUM
ejpam-4128	212	5	,	,	PUNCT
ejpam-4128	212	6	we	we	PRON
ejpam-4128	212	7	obtain	obtain	VERB
ejpam-4128	212	8	∥dk∥	∥dk∥	ADJ
ejpam-4128	213	1	≤	≤	NUM
ejpam-4128	213	2	b	b	PROPN
ejpam-4128	213	3	+	+	NUM
ejpam-4128	213	4	b	b	PROPN
ejpam-4128	213	5	ϖ	ϖ	PROPN
ejpam-4128	213	6	(	(	PUNCT
ejpam-4128	213	7	σ	σ	PROPN
ejpam-4128	213	8	+	+	CCONJ
ejpam-4128	213	9	1)(2l+	1)(2l+	NUM
ejpam-4128	213	10	tk	tk	NOUN
ejpam-4128	213	11	+	+	NOUN
ejpam-4128	213	12	1	1	NUM
ejpam-4128	213	13	)	)	PUNCT
ejpam-4128	213	14	.	.	PUNCT
ejpam-4128	214	1	let	let	VERB
ejpam-4128	214	2	b	b	NOUN
ejpam-4128	214	3	+	+	NOUN
ejpam-4128	214	4	b	b	NOUN
ejpam-4128	214	5	ϖ	ϖ	INTJ
ejpam-4128	214	6	(	(	PUNCT
ejpam-4128	214	7	2l+	2l+	NUM
ejpam-4128	214	8	tk	tk	NOUN
ejpam-4128	214	9	+	+	CCONJ
ejpam-4128	214	10	1)(σ	1)(σ	NUM
ejpam-4128	214	11	+	+	CCONJ
ejpam-4128	214	12	1	1	NUM
ejpam-4128	214	13	)	)	PUNCT
ejpam-4128	214	14	=	=	SYM
ejpam-4128	214	15	m	m	PROPN
ejpam-4128	214	16	,	,	PUNCT
ejpam-4128	214	17	where	where	SCONJ
ejpam-4128	214	18	m	m	NOUN
ejpam-4128	214	19	is	be	AUX
ejpam-4128	214	20	constant	constant	ADJ
ejpam-4128	214	21	;	;	PUNCT
ejpam-4128	214	22	thus	thus	ADV
ejpam-4128	214	23	∥dk∥	∥dk∥	ADJ
ejpam-4128	214	24	≤	≤	NUM
ejpam-4128	214	25	m	m	PROPN
ejpam-4128	214	26	,	,	PUNCT
ejpam-4128	215	1	s.	s.	PROPN
ejpam-4128	215	2	ismail	ismail	PROPN
ejpam-4128	215	3	et	et	PROPN
ejpam-4128	215	4	al	al	PROPN
ejpam-4128	215	5	.	.	PUNCT
ejpam-4128	215	6	/	/	SYM
ejpam-4128	215	7	eur	eur	PROPN
ejpam-4128	215	8	.	.	PUNCT
ejpam-4128	216	1	j.	j.	PROPN
ejpam-4128	216	2	pure	pure	PROPN
ejpam-4128	216	3	appl	appl	PROPN
ejpam-4128	216	4	.	.	PROPN
ejpam-4128	216	5	math	math	PROPN
ejpam-4128	216	6	,	,	PUNCT
ejpam-4128	216	7	14	14	NUM
ejpam-4128	216	8	(	(	PUNCT
ejpam-4128	216	9	4	4	NUM
ejpam-4128	216	10	)	)	PUNCT
ejpam-4128	216	11	(	(	PUNCT
ejpam-4128	216	12	2021	2021	NUM
ejpam-4128	216	13	)	)	PUNCT
ejpam-4128	216	14	,	,	PUNCT
ejpam-4128	216	15	1429	1429	NUM
ejpam-4128	216	16	-	-	SYM
ejpam-4128	216	17	1456	1456	NUM
ejpam-4128	216	18	1439	1439	NUM
ejpam-4128	216	19	which	which	PRON
ejpam-4128	216	20	implies	imply	VERB
ejpam-4128	216	21	the	the	DET
ejpam-4128	216	22	truth	truth	NOUN
ejpam-4128	216	23	of	of	ADP
ejpam-4128	216	24	equation	equation	NOUN
ejpam-4128	216	25	(	(	PUNCT
ejpam-4128	216	26	18	18	NUM
ejpam-4128	216	27	)	)	PUNCT
ejpam-4128	216	28	.	.	PUNCT
ejpam-4128	217	1	thus	thus	ADV
ejpam-4128	217	2	,	,	PUNCT
ejpam-4128	217	3	using	use	VERB
ejpam-4128	217	4	corollary	corollary	NOUN
ejpam-4128	217	5	3.1	3.1	NUM
ejpam-4128	217	6	,	,	PUNCT
ejpam-4128	217	7	we	we	PRON
ejpam-4128	217	8	have	have	VERB
ejpam-4128	217	9	lim	lim	PROPN
ejpam-4128	217	10	inf	inf	PROPN
ejpam-4128	217	11	k→∞	k→∞	NOUN
ejpam-4128	217	12	∥gk∥	∥gk∥	NUM
ejpam-4128	217	13	=	=	SYM
ejpam-4128	217	14	0	0	NUM
ejpam-4128	217	15	.	.	PUNCT
ejpam-4128	218	1	the	the	DET
ejpam-4128	218	2	proof	proof	NOUN
ejpam-4128	218	3	is	be	AUX
ejpam-4128	218	4	now	now	ADV
ejpam-4128	218	5	complete	complete	ADJ
ejpam-4128	218	6	.	.	PUNCT
ejpam-4128	219	1	■	■	PUNCT
ejpam-4128	219	2	4.3	4.3	NUM
ejpam-4128	219	3	.	.	PUNCT
ejpam-4128	219	4	convergence	convergence	NOUN
ejpam-4128	219	5	of	of	ADP
ejpam-4128	219	6	algorithm	algorithm	NOUN
ejpam-4128	219	7	1	1	NUM
ejpam-4128	219	8	with	with	ADP
ejpam-4128	219	9	general	general	ADJ
ejpam-4128	219	10	nonlinear	nonlinear	ADJ
ejpam-4128	219	11	functions	function	NOUN
ejpam-4128	219	12	the	the	DET
ejpam-4128	219	13	following	follow	VERB
ejpam-4128	219	14	restriction	restriction	NOUN
ejpam-4128	219	15	for	for	ADP
ejpam-4128	219	16	χk	χk	PROPN
ejpam-4128	219	17	is	be	AUX
ejpam-4128	219	18	essential	essential	ADJ
ejpam-4128	219	19	to	to	PART
ejpam-4128	219	20	establish	establish	VERB
ejpam-4128	219	21	the	the	DET
ejpam-4128	219	22	convergence	convergence	NOUN
ejpam-4128	219	23	analysis	analysis	NOUN
ejpam-4128	219	24	for	for	ADP
ejpam-4128	219	25	the	the	DET
ejpam-4128	219	26	new	new	ADJ
ejpam-4128	219	27	search	search	NOUN
ejpam-4128	219	28	direction	direction	NOUN
ejpam-4128	219	29	.	.	PUNCT
ejpam-4128	220	1	the	the	DET
ejpam-4128	220	2	main	main	ADJ
ejpam-4128	220	3	importance	importance	NOUN
ejpam-4128	220	4	of	of	ADP
ejpam-4128	220	5	this	this	DET
ejpam-4128	220	6	restriction	restriction	NOUN
ejpam-4128	220	7	is	be	AUX
ejpam-4128	220	8	to	to	PART
ejpam-4128	220	9	avoid	avoid	VERB
ejpam-4128	220	10	the	the	DET
ejpam-4128	220	11	cg	cg	NOUN
ejpam-4128	220	12	method	method	NOUN
ejpam-4128	220	13	multiplayer	multiplayer	NOUN
ejpam-4128	220	14	being	be	AUX
ejpam-4128	220	15	non	non	ADJ
ejpam-4128	220	16	-	-	ADJ
ejpam-4128	220	17	negative	negative	ADJ
ejpam-4128	220	18	χ+	χ+	PROPN
ejpam-4128	220	19	k	k	X
ejpam-4128	220	20	=	=	PUNCT
ejpam-4128	220	21	max	max	PROPN
ejpam-4128	220	22	{	{	PUNCT
ejpam-4128	220	23	0	0	NUM
ejpam-4128	220	24	,	,	PUNCT
ejpam-4128	220	25	βls	βls	VERB
ejpam-4128	220	26	k	k	PROPN
ejpam-4128	221	1	−	−	PROPN
ejpam-4128	221	2	t	t	PROPN
ejpam-4128	221	3	gtk	gtk	NOUN
ejpam-4128	221	4	sk−1	sk−1	PROPN
ejpam-4128	221	5	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	221	6	}	}	PUNCT
ejpam-4128	221	7	.	.	PUNCT
ejpam-4128	222	1	thus	thus	ADV
ejpam-4128	222	2	,	,	PUNCT
ejpam-4128	222	3	equation	equation	NOUN
ejpam-4128	222	4	(	(	PUNCT
ejpam-4128	222	5	10	10	NUM
ejpam-4128	222	6	)	)	PUNCT
ejpam-4128	222	7	becomes	become	VERB
ejpam-4128	222	8	as	as	SCONJ
ejpam-4128	222	9	follows	follow	VERB
ejpam-4128	222	10	dk	dk	PROPN
ejpam-4128	222	11	=	=	PUNCT
ejpam-4128	222	12	−gk	−gk	PROPN
ejpam-4128	223	1	+	+	NOUN
ejpam-4128	223	2	χ+	χ+	PRON
ejpam-4128	223	3	k	k	X
ejpam-4128	223	4	dk−1	dk−1	PROPN
ejpam-4128	223	5	+	+	CCONJ
ejpam-4128	223	6	θk(yk−1	θk(yk−1	CCONJ
ejpam-4128	223	7	−	−	PROPN
ejpam-4128	223	8	sk−1	sk−1	ADJ
ejpam-4128	223	9	)	)	PUNCT
ejpam-4128	223	10	.	.	PUNCT
ejpam-4128	224	1	lemma	lemma	PROPN
ejpam-4128	224	2	4.2	4.2	NUM
ejpam-4128	224	3	.	.	PUNCT
ejpam-4128	224	4	assume	assume	VERB
ejpam-4128	224	5	that	that	SCONJ
ejpam-4128	224	6	assumption	assumption	NOUN
ejpam-4128	224	7	1	1	NUM
ejpam-4128	224	8	holds	hold	NOUN
ejpam-4128	224	9	and	and	CCONJ
ejpam-4128	224	10	the	the	DET
ejpam-4128	224	11	sequences	sequence	NOUN
ejpam-4128	224	12	{	{	PUNCT
ejpam-4128	224	13	gk	gk	NOUN
ejpam-4128	224	14	}	}	PUNCT
ejpam-4128	224	15	and	and	CCONJ
ejpam-4128	224	16	{	{	PUNCT
ejpam-4128	224	17	dk	dk	NOUN
ejpam-4128	224	18	}	}	PUNCT
ejpam-4128	224	19	are	be	AUX
ejpam-4128	224	20	generated	generate	VERB
ejpam-4128	224	21	using	use	VERB
ejpam-4128	224	22	algorithm	algorithm	NOUN
ejpam-4128	224	23	1	1	NUM
ejpam-4128	224	24	,	,	PUNCT
ejpam-4128	224	25	where	where	SCONJ
ejpam-4128	224	26	the	the	DET
ejpam-4128	224	27	step	step	NOUN
ejpam-4128	224	28	size	size	NOUN
ejpam-4128	224	29	αk	αk	NOUN
ejpam-4128	224	30	is	be	AUX
ejpam-4128	224	31	computed	compute	VERB
ejpam-4128	224	32	via	via	ADP
ejpam-4128	224	33	the	the	DET
ejpam-4128	224	34	swp	swp	NOUN
ejpam-4128	224	35	line	line	NOUN
ejpam-4128	224	36	search	search	NOUN
ejpam-4128	224	37	such	such	ADJ
ejpam-4128	224	38	that	that	SCONJ
ejpam-4128	224	39	the	the	DET
ejpam-4128	224	40	sufficient	sufficient	ADJ
ejpam-4128	224	41	descent	descent	NOUN
ejpam-4128	224	42	condition	condition	NOUN
ejpam-4128	224	43	holds	hold	VERB
ejpam-4128	224	44	.	.	PUNCT
ejpam-4128	225	1	if	if	SCONJ
ejpam-4128	225	2	βk	βk	ADP
ejpam-4128	225	3	≥	≥	NOUN
ejpam-4128	225	4	0	0	NUM
ejpam-4128	225	5	,	,	PUNCT
ejpam-4128	225	6	there	there	PRON
ejpam-4128	225	7	exists	exist	VERB
ejpam-4128	225	8	a	a	DET
ejpam-4128	225	9	constant	constant	ADJ
ejpam-4128	225	10	γ	γ	X
ejpam-4128	225	11	>	>	X
ejpam-4128	225	12	0	0	NUM
ejpam-4128	225	13	such	such	ADJ
ejpam-4128	225	14	that	that	SCONJ
ejpam-4128	225	15	∥gk∥	∥gk∥	NOUN
ejpam-4128	225	16	>	>	X
ejpam-4128	225	17	γ	γ	X
ejpam-4128	225	18	for	for	ADP
ejpam-4128	225	19	all	all	DET
ejpam-4128	225	20	k	k	PROPN
ejpam-4128	225	21	≥	≥	NUM
ejpam-4128	225	22	1	1	NUM
ejpam-4128	225	23	.	.	PUNCT
ejpam-4128	226	1	then	then	ADV
ejpam-4128	226	2	,	,	PUNCT
ejpam-4128	226	3	dk	dk	PROPN
ejpam-4128	226	4	̸=	̸=	PROPN
ejpam-4128	226	5	0	0	NUM
ejpam-4128	226	6	and	and	CCONJ
ejpam-4128	226	7	∞∑	∞∑	PRON
ejpam-4128	226	8	k=0	k=0	PROPN
ejpam-4128	226	9	∥uk+1	∥uk+1	VERB
ejpam-4128	226	10	−	−	PROPN
ejpam-4128	226	11	uk∥2	uk∥2	X
ejpam-4128	226	12	<	<	X
ejpam-4128	226	13	∞	∞	PROPN
ejpam-4128	226	14	,	,	PUNCT
ejpam-4128	226	15	(	(	PUNCT
ejpam-4128	226	16	20	20	NUM
ejpam-4128	226	17	)	)	PUNCT
ejpam-4128	226	18	where	where	SCONJ
ejpam-4128	226	19	uk	uk	PROPN
ejpam-4128	226	20	=	=	PUNCT
ejpam-4128	226	21	dk	dk	PROPN
ejpam-4128	226	22	∥dk∥	∥dk∥	NOUN
ejpam-4128	226	23	.	.	PUNCT
ejpam-4128	227	1	proof	proof	NOUN
ejpam-4128	227	2	.	.	PUNCT
ejpam-4128	228	1	first	first	ADV
ejpam-4128	228	2	,	,	PUNCT
ejpam-4128	228	3	if	if	SCONJ
ejpam-4128	228	4	dk	dk	PROPN
ejpam-4128	228	5	=	=	NOUN
ejpam-4128	228	6	0	0	PROPN
ejpam-4128	228	7	,	,	PUNCT
ejpam-4128	228	8	then	then	ADV
ejpam-4128	228	9	from	from	ADP
ejpam-4128	228	10	the	the	DET
ejpam-4128	228	11	sufficient	sufficient	ADJ
ejpam-4128	228	12	descent	descent	NOUN
ejpam-4128	228	13	condition	condition	NOUN
ejpam-4128	228	14	,	,	PUNCT
ejpam-4128	228	15	we	we	PRON
ejpam-4128	228	16	obtain	obtain	VERB
ejpam-4128	228	17	gk	gk	NOUN
ejpam-4128	228	18	=	=	NOUN
ejpam-4128	228	19	0	0	PROPN
ejpam-4128	228	20	.	.	PUNCT
ejpam-4128	229	1	thus	thus	ADV
ejpam-4128	229	2	,	,	PUNCT
ejpam-4128	229	3	we	we	PRON
ejpam-4128	229	4	suppose	suppose	VERB
ejpam-4128	229	5	that	that	SCONJ
ejpam-4128	229	6	dk	dk	PROPN
ejpam-4128	229	7	̸=	̸=	PROPN
ejpam-4128	229	8	0	0	NUM
ejpam-4128	229	9	and	and	CCONJ
ejpam-4128	229	10	γ̄	γ̄	PROPN
ejpam-4128	229	11	≥	≥	PROPN
ejpam-4128	229	12	∥gk∥	∥gk∥	NUM
ejpam-4128	229	13	≥	≥	PROPN
ejpam-4128	229	14	γ	γ	X
ejpam-4128	229	15	>	>	X
ejpam-4128	229	16	0	0	PROPN
ejpam-4128	229	17	,	,	PUNCT
ejpam-4128	229	18	∀k	∀k	NOUN
ejpam-4128	229	19	≥	≥	NUM
ejpam-4128	229	20	1	1	NUM
ejpam-4128	229	21	.	.	PUNCT
ejpam-4128	230	1	(	(	PUNCT
ejpam-4128	230	2	21	21	NUM
ejpam-4128	230	3	)	)	PUNCT
ejpam-4128	230	4	we	we	PRON
ejpam-4128	230	5	now	now	ADV
ejpam-4128	230	6	rewrite	rewrite	VERB
ejpam-4128	230	7	equation	equation	NOUN
ejpam-4128	230	8	(	(	PUNCT
ejpam-4128	230	9	10	10	NUM
ejpam-4128	230	10	)	)	PUNCT
ejpam-4128	230	11	as	as	SCONJ
ejpam-4128	230	12	follows	follow	VERB
ejpam-4128	230	13	:	:	PUNCT
ejpam-4128	230	14	dftcgls	dftcgl	NOUN
ejpam-4128	230	15	k	k	X
ejpam-4128	231	1	=	=	PUNCT
ejpam-4128	231	2	−gk	−gk	PROPN
ejpam-4128	231	3	+	+	CCONJ
ejpam-4128	231	4	(	(	PUNCT
ejpam-4128	231	5	−	−	PROPN
ejpam-4128	231	6	gtk	gtk	NOUN
ejpam-4128	231	7	yk−1	yk−1	PROPN
ejpam-4128	231	8	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	232	1	−	−	X
ejpam-4128	232	2	tk	tk	PROPN
ejpam-4128	232	3	gtk	gtk	NOUN
ejpam-4128	232	4	sk−1	sk−1	PROPN
ejpam-4128	232	5	dtk−1gk−1	dtk−1gk−1	NOUN
ejpam-4128	232	6	)	)	PUNCT
ejpam-4128	232	7	dk−1	dk−1	NOUN
ejpam-4128	232	8	+	+	CCONJ
ejpam-4128	232	9	(	(	PUNCT
ejpam-4128	232	10	gtk	gtk	NOUN
ejpam-4128	232	11	dk−1	dk−1	NOUN
ejpam-4128	232	12	dtk−1gk−1	dtk−1gk−1	NUM
ejpam-4128	232	13	)	)	PUNCT
ejpam-4128	232	14	(	(	PUNCT
ejpam-4128	232	15	yk−1	yk−1	PROPN
ejpam-4128	232	16	−	−	PROPN
ejpam-4128	232	17	sk−1	sk−1	PROPN
ejpam-4128	232	18	)	)	PUNCT
ejpam-4128	232	19	.	.	PUNCT
ejpam-4128	233	1	we	we	PRON
ejpam-4128	233	2	define	define	VERB
ejpam-4128	233	3	uk	uk	PROPN
ejpam-4128	233	4	=	=	SYM
ejpam-4128	233	5	wk	wk	PROPN
ejpam-4128	234	1	+	+	PUNCT
ejpam-4128	234	2	δkuk−1	δkuk−1	PROPN
ejpam-4128	234	3	,	,	PUNCT
ejpam-4128	234	4	where	where	SCONJ
ejpam-4128	234	5	wk	wk	ADP
ejpam-4128	234	6	=	=	PUNCT
ejpam-4128	234	7	−gk	−gk	PROPN
ejpam-4128	234	8	+	+	CCONJ
ejpam-4128	234	9	θk(yk−1	θk(yk−1	CCONJ
ejpam-4128	235	1	−	−	PROPN
ejpam-4128	235	2	sk−1	sk−1	ADJ
ejpam-4128	235	3	)	)	PUNCT
ejpam-4128	235	4	∥dk∥	∥dk∥	NOUN
ejpam-4128	235	5	,	,	PUNCT
ejpam-4128	235	6	δk	δk	PROPN
ejpam-4128	235	7	=	=	SYM
ejpam-4128	235	8	χ+	χ+	PROPN
ejpam-4128	235	9	k	k	PROPN
ejpam-4128	235	10	∥dk−1∥	∥dk−1∥	PROPN
ejpam-4128	235	11	∥dk∥	∥dk∥	PROPN
ejpam-4128	235	12	.	.	PUNCT
ejpam-4128	236	1	s.	s.	PROPN
ejpam-4128	236	2	ismail	ismail	PROPN
ejpam-4128	236	3	et	et	PROPN
ejpam-4128	236	4	al	al	PROPN
ejpam-4128	236	5	.	.	PUNCT
ejpam-4128	236	6	/	/	SYM
ejpam-4128	236	7	eur	eur	PROPN
ejpam-4128	236	8	.	.	PUNCT
ejpam-4128	237	1	j.	j.	PROPN
ejpam-4128	237	2	pure	pure	PROPN
ejpam-4128	237	3	appl	appl	PROPN
ejpam-4128	237	4	.	.	PROPN
ejpam-4128	237	5	math	math	PROPN
ejpam-4128	237	6	,	,	PUNCT
ejpam-4128	237	7	14	14	NUM
ejpam-4128	237	8	(	(	PUNCT
ejpam-4128	237	9	4	4	NUM
ejpam-4128	237	10	)	)	PUNCT
ejpam-4128	237	11	(	(	PUNCT
ejpam-4128	237	12	2021	2021	NUM
ejpam-4128	237	13	)	)	PUNCT
ejpam-4128	237	14	,	,	PUNCT
ejpam-4128	237	15	1429	1429	NUM
ejpam-4128	237	16	-	-	SYM
ejpam-4128	237	17	1456	1456	NUM
ejpam-4128	237	18	1440	1440	NUM
ejpam-4128	237	19	since	since	SCONJ
ejpam-4128	237	20	uk	uk	PROPN
ejpam-4128	237	21	is	be	AUX
ejpam-4128	237	22	a	a	DET
ejpam-4128	237	23	unit	unit	NOUN
ejpam-4128	237	24	vector	vector	NOUN
ejpam-4128	237	25	,	,	PUNCT
ejpam-4128	237	26	then	then	ADV
ejpam-4128	237	27	∥wk∥	∥wk∥	NOUN
ejpam-4128	237	28	=	=	SYM
ejpam-4128	237	29	∥uk	∥uk	NOUN
ejpam-4128	237	30	−	−	NOUN
ejpam-4128	237	31	δkuk−1∥	δkuk−1∥	NOUN
ejpam-4128	237	32	=	=	SYM
ejpam-4128	237	33	∥δkuk	∥δkuk	NOUN
ejpam-4128	237	34	−	−	PROPN
ejpam-4128	237	35	uk−1∥	uk−1∥	PROPN
ejpam-4128	237	36	.	.	PUNCT
ejpam-4128	238	1	using	use	VERB
ejpam-4128	238	2	the	the	DET
ejpam-4128	238	3	triangular	triangular	NOUN
ejpam-4128	238	4	inequality	inequality	NOUN
ejpam-4128	238	5	and	and	CCONJ
ejpam-4128	238	6	δk	δk	PRON
ejpam-4128	238	7	≥	≥	NOUN
ejpam-4128	238	8	0	0	NUM
ejpam-4128	238	9	,	,	PUNCT
ejpam-4128	238	10	∥uk	∥uk	VERB
ejpam-4128	238	11	−	−	PROPN
ejpam-4128	238	12	uk−1∥	uk−1∥	NOUN
ejpam-4128	238	13	≤	≤	NOUN
ejpam-4128	238	14	(	(	PUNCT
ejpam-4128	238	15	1	1	NUM
ejpam-4128	238	16	+	+	CCONJ
ejpam-4128	238	17	δk	δk	ADJ
ejpam-4128	238	18	)	)	PUNCT
ejpam-4128	238	19	∥uk	∥uk	NOUN
ejpam-4128	238	20	−	−	PROPN
ejpam-4128	238	21	uk−1∥	uk−1∥	PROPN
ejpam-4128	238	22	=	=	PUNCT
ejpam-4128	238	23	∥uk	∥uk	PROPN
ejpam-4128	238	24	−	−	PROPN
ejpam-4128	238	25	δkuk−1	δkuk−1	PROPN
ejpam-4128	238	26	−	−	PROPN
ejpam-4128	238	27	(	(	PUNCT
ejpam-4128	238	28	uk−1	uk−1	PROPN
ejpam-4128	238	29	−	−	NOUN
ejpam-4128	238	30	δkuk)∥	δkuk)∥	NOUN
ejpam-4128	238	31	,	,	PUNCT
ejpam-4128	238	32	(	(	PUNCT
ejpam-4128	238	33	22	22	NUM
ejpam-4128	238	34	)	)	PUNCT
ejpam-4128	238	35	≤	≤	NOUN
ejpam-4128	239	1	∥uk	∥uk	VERB
ejpam-4128	239	2	−	−	PROPN
ejpam-4128	239	3	δkuk−1∥+	δkuk−1∥+	NOUN
ejpam-4128	239	4	∥uk−1	∥uk−1	PRON
ejpam-4128	239	5	−	−	NOUN
ejpam-4128	239	6	δkuk∥	δkuk∥	NOUN
ejpam-4128	239	7	=	=	NOUN
ejpam-4128	239	8	2	2	NUM
ejpam-4128	239	9	∥wk∥	∥wk∥	NOUN
ejpam-4128	239	10	.	.	PUNCT
ejpam-4128	240	1	we	we	PRON
ejpam-4128	240	2	now	now	ADV
ejpam-4128	240	3	define	define	VERB
ejpam-4128	240	4	ν	ν	NOUN
ejpam-4128	240	5	=	=	PUNCT
ejpam-4128	240	6	−gk	−gk	NOUN
ejpam-4128	240	7	−	−	NOUN
ejpam-4128	240	8	θk(yk−1	θk(yk−1	PROPN
ejpam-4128	240	9	+	+	X
ejpam-4128	240	10	sk−1	sk−1	ADJ
ejpam-4128	240	11	)	)	PUNCT
ejpam-4128	240	12	.	.	PUNCT
ejpam-4128	241	1	using	use	VERB
ejpam-4128	241	2	the	the	DET
ejpam-4128	241	3	triangular	triangular	NOUN
ejpam-4128	241	4	inequality	inequality	NOUN
ejpam-4128	241	5	,	,	PUNCT
ejpam-4128	241	6	we	we	PRON
ejpam-4128	241	7	obtain	obtain	VERB
ejpam-4128	241	8	∥ν∥	∥ν∥	ADJ
ejpam-4128	241	9	≤	≤	ADJ
ejpam-4128	241	10	∥gk∥+	∥gk∥+	PROPN
ejpam-4128	241	11	|θk|	|θk|	VERB
ejpam-4128	241	12	∥yk−1	∥yk−1	PROPN
ejpam-4128	242	1	+	+	CCONJ
ejpam-4128	242	2	sk−1∥	sk−1∥	NOUN
ejpam-4128	242	3	.	.	PUNCT
ejpam-4128	243	1	moreover	moreover	ADV
ejpam-4128	243	2	,	,	PUNCT
ejpam-4128	243	3	using	use	VERB
ejpam-4128	243	4	the	the	DET
ejpam-4128	243	5	equations	equation	NOUN
ejpam-4128	243	6	of	of	ADP
ejpam-4128	243	7	swp	swp	PROPN
ejpam-4128	243	8	line	line	NOUN
ejpam-4128	243	9	search	search	NOUN
ejpam-4128	243	10	,	,	PUNCT
ejpam-4128	243	11	we	we	PRON
ejpam-4128	243	12	can	can	AUX
ejpam-4128	243	13	conclude	conclude	VERB
ejpam-4128	243	14	that	that	PRON
ejpam-4128	243	15	|θk|	|θk|	PROPN
ejpam-4128	244	1	=	=	SYM
ejpam-4128	244	2	∣∣gtk	∣∣gtk	SYM
ejpam-4128	244	3	dk−1	dk−1	PROPN
ejpam-4128	244	4	∣∣∣∣dtk−1gk−1	∣∣∣∣dtk−1gk−1	NUM
ejpam-4128	244	5	∣∣	∣∣	PUNCT
ejpam-4128	244	6	≤	≤	PROPN
ejpam-4128	244	7	σ	σ	PROPN
ejpam-4128	244	8	.	.	PUNCT
ejpam-4128	245	1	now	now	ADV
ejpam-4128	245	2	,	,	PUNCT
ejpam-4128	245	3	using	use	VERB
ejpam-4128	245	4	the	the	DET
ejpam-4128	245	5	triangular	triangular	NOUN
ejpam-4128	245	6	inequality	inequality	NOUN
ejpam-4128	245	7	and	and	CCONJ
ejpam-4128	245	8	assumption	assumption	NOUN
ejpam-4128	245	9	1	1	NUM
ejpam-4128	245	10	,	,	PUNCT
ejpam-4128	245	11	we	we	PRON
ejpam-4128	245	12	obtain	obtain	VERB
ejpam-4128	245	13	∥yk−1	∥yk−1	ADV
ejpam-4128	245	14	+	+	CCONJ
ejpam-4128	245	15	sk−1∥	sk−1∥	ADJ
ejpam-4128	245	16	≤	≤	NOUN
ejpam-4128	245	17	∥yk−1∥+	∥yk−1∥+	NOUN
ejpam-4128	245	18	∥sk−1∥	∥sk−1∥	ADP
ejpam-4128	245	19	≤	≤	NOUN
ejpam-4128	245	20	2b	2b	NOUN
ejpam-4128	245	21	+	+	CCONJ
ejpam-4128	245	22	2ρ	2ρ	NOUN
ejpam-4128	245	23	.	.	PUNCT
ejpam-4128	246	1	thus	thus	ADV
ejpam-4128	246	2	,	,	PUNCT
ejpam-4128	246	3	the	the	DET
ejpam-4128	246	4	inequality	inequality	NOUN
ejpam-4128	246	5	in	in	ADP
ejpam-4128	246	6	(	(	PUNCT
ejpam-4128	246	7	4.3	4.3	NUM
ejpam-4128	246	8	)	)	PUNCT
ejpam-4128	246	9	can	can	AUX
ejpam-4128	246	10	be	be	AUX
ejpam-4128	246	11	written	write	VERB
ejpam-4128	246	12	as	as	SCONJ
ejpam-4128	246	13	follows	follow	VERB
ejpam-4128	246	14	:	:	PUNCT
ejpam-4128	246	15	∥ν∥	∥ν∥	ADJ
ejpam-4128	246	16	≤	≤	PROPN
ejpam-4128	246	17	b	b	PROPN
ejpam-4128	246	18	+	+	CCONJ
ejpam-4128	246	19	σ	σ	PROPN
ejpam-4128	246	20	(	(	PUNCT
ejpam-4128	246	21	2b	2b	NOUN
ejpam-4128	246	22	+	+	CCONJ
ejpam-4128	246	23	2ρ	2ρ	NUM
ejpam-4128	246	24	)	)	PUNCT
ejpam-4128	246	25	.	.	PUNCT
ejpam-4128	247	1	let	let	VERB
ejpam-4128	247	2	h	h	NOUN
ejpam-4128	247	3	=	=	SYM
ejpam-4128	247	4	b	b	PROPN
ejpam-4128	247	5	+	+	SYM
ejpam-4128	247	6	σ	σ	PROPN
ejpam-4128	247	7	(	(	PUNCT
ejpam-4128	247	8	2b	2b	NOUN
ejpam-4128	247	9	+	+	CCONJ
ejpam-4128	247	10	2ρ	2ρ	NOUN
ejpam-4128	247	11	)	)	PUNCT
ejpam-4128	247	12	,	,	PUNCT
ejpam-4128	247	13	then	then	ADV
ejpam-4128	247	14	∥ν∥	∥ν∥	VERB
ejpam-4128	247	15	≤	≤	PROPN
ejpam-4128	247	16	h.	h.	NOUN
ejpam-4128	247	17	from	from	ADP
ejpam-4128	247	18	equation	equation	NOUN
ejpam-4128	247	19	(	(	PUNCT
ejpam-4128	247	20	22	22	NUM
ejpam-4128	247	21	)	)	PUNCT
ejpam-4128	247	22	,	,	PUNCT
ejpam-4128	247	23	we	we	PRON
ejpam-4128	247	24	have	have	AUX
ejpam-4128	247	25	∥uk	∥uk	VERB
ejpam-4128	247	26	−	−	PROPN
ejpam-4128	247	27	uk−1∥	uk−1∥	ADJ
ejpam-4128	247	28	≤	≤	ADJ
ejpam-4128	247	29	2w	2w	NUM
ejpam-4128	247	30	.	.	PUNCT
ejpam-4128	248	1	s.	s.	PROPN
ejpam-4128	248	2	ismail	ismail	PROPN
ejpam-4128	248	3	et	et	PROPN
ejpam-4128	248	4	al	al	PROPN
ejpam-4128	248	5	.	.	PUNCT
ejpam-4128	248	6	/	/	SYM
ejpam-4128	248	7	eur	eur	PROPN
ejpam-4128	248	8	.	.	PUNCT
ejpam-4128	249	1	j.	j.	PROPN
ejpam-4128	249	2	pure	pure	PROPN
ejpam-4128	249	3	appl	appl	PROPN
ejpam-4128	249	4	.	.	PROPN
ejpam-4128	249	5	math	math	PROPN
ejpam-4128	249	6	,	,	PUNCT
ejpam-4128	249	7	14	14	NUM
ejpam-4128	249	8	(	(	PUNCT
ejpam-4128	249	9	4	4	NUM
ejpam-4128	249	10	)	)	PUNCT
ejpam-4128	249	11	(	(	PUNCT
ejpam-4128	249	12	2021	2021	NUM
ejpam-4128	249	13	)	)	PUNCT
ejpam-4128	249	14	,	,	PUNCT
ejpam-4128	249	15	1429	1429	NUM
ejpam-4128	249	16	-	-	SYM
ejpam-4128	249	17	1456	1456	NUM
ejpam-4128	249	18	1441	1441	NUM
ejpam-4128	249	19	thus	thus	ADV
ejpam-4128	249	20	,	,	PUNCT
ejpam-4128	249	21	the	the	DET
ejpam-4128	249	22	following	following	ADJ
ejpam-4128	249	23	result	result	NOUN
ejpam-4128	249	24	is	be	AUX
ejpam-4128	249	25	obtained	obtain	VERB
ejpam-4128	249	26	∞∑	∞∑	PROPN
ejpam-4128	249	27	k=0	k=0	PROPN
ejpam-4128	249	28	∥uk+1	∥uk+1	VERB
ejpam-4128	249	29	−	−	PROPN
ejpam-4128	249	30	uk∥2	uk∥2	PROPN
ejpam-4128	249	31	≤	≤	NUM
ejpam-4128	249	32	4	4	NUM
ejpam-4128	250	1	∞∑	∞∑	NUM
ejpam-4128	250	2	k=0	k=0	PROPN
ejpam-4128	250	3	∥w∥2	∥w∥2	VERB
ejpam-4128	250	4	≤	≤	NOUN
ejpam-4128	250	5	4h2	4h2	NUM
ejpam-4128	251	1	∞∑	∞∑	PRON
ejpam-4128	251	2	k=0	k=0	PROPN
ejpam-4128	251	3	1	1	NUM
ejpam-4128	251	4	∥dk∥2	∥dk∥2	PROPN
ejpam-4128	251	5	<	<	X
ejpam-4128	251	6	∞.	∞.	PROPN
ejpam-4128	251	7	the	the	DET
ejpam-4128	251	8	proof	proof	NOUN
ejpam-4128	251	9	is	be	AUX
ejpam-4128	251	10	now	now	ADV
ejpam-4128	251	11	complete	complete	ADJ
ejpam-4128	251	12	.	.	PUNCT
ejpam-4128	252	1	■	■	PUNCT
ejpam-4128	252	2	the	the	DET
ejpam-4128	252	3	following	follow	VERB
ejpam-4128	252	4	property	property	NOUN
ejpam-4128	252	5	,	,	PUNCT
ejpam-4128	252	6	which	which	PRON
ejpam-4128	252	7	is	be	AUX
ejpam-4128	252	8	referred	refer	VERB
ejpam-4128	252	9	to	to	ADP
ejpam-4128	252	10	as	as	ADP
ejpam-4128	252	11	property	property	NOUN
ejpam-4128	252	12	*	*	PUNCT
ejpam-4128	252	13	,	,	PUNCT
ejpam-4128	252	14	was	be	AUX
ejpam-4128	252	15	presented	present	VERB
ejpam-4128	252	16	by	by	ADP
ejpam-4128	252	17	gilbert	gilbert	PROPN
ejpam-4128	252	18	and	and	CCONJ
ejpam-4128	252	19	nocedal	nocedal	ADV
ejpam-4128	252	20	in	in	ADP
ejpam-4128	252	21	[	[	X
ejpam-4128	252	22	15	15	NUM
ejpam-4128	252	23	]	]	PUNCT
ejpam-4128	252	24	.	.	PUNCT
ejpam-4128	253	1	property	property	NOUN
ejpam-4128	253	2	*	*	PUNCT
ejpam-4128	253	3	consider	consider	VERB
ejpam-4128	253	4	a	a	DET
ejpam-4128	253	5	method	method	NOUN
ejpam-4128	253	6	of	of	ADP
ejpam-4128	253	7	the	the	DET
ejpam-4128	253	8	form	form	NOUN
ejpam-4128	253	9	(	(	PUNCT
ejpam-4128	253	10	2	2	NUM
ejpam-4128	253	11	)	)	PUNCT
ejpam-4128	253	12	and	and	CCONJ
ejpam-4128	253	13	(	(	PUNCT
ejpam-4128	253	14	3	3	NUM
ejpam-4128	253	15	)	)	PUNCT
ejpam-4128	253	16	.	.	PUNCT
ejpam-4128	254	1	assume	assume	VERB
ejpam-4128	254	2	that	that	SCONJ
ejpam-4128	254	3	(	(	PUNCT
ejpam-4128	254	4	21	21	NUM
ejpam-4128	254	5	)	)	PUNCT
ejpam-4128	254	6	is	be	AUX
ejpam-4128	254	7	satisfied	satisfied	ADJ
ejpam-4128	254	8	for	for	ADP
ejpam-4128	254	9	all	all	DET
ejpam-4128	254	10	k	k	PROPN
ejpam-4128	254	11	≥	≥	NUM
ejpam-4128	254	12	1	1	NUM
ejpam-4128	254	13	.	.	PUNCT
ejpam-4128	255	1	then	then	ADV
ejpam-4128	255	2	,	,	PUNCT
ejpam-4128	255	3	the	the	DET
ejpam-4128	255	4	cg	cg	NOUN
ejpam-4128	255	5	method	method	NOUN
ejpam-4128	255	6	has	have	VERB
ejpam-4128	255	7	property	property	NOUN
ejpam-4128	255	8	*	*	PUNCT
ejpam-4128	255	9	if	if	SCONJ
ejpam-4128	255	10	there	there	PRON
ejpam-4128	255	11	exist	exist	VERB
ejpam-4128	255	12	constants	constant	NOUN
ejpam-4128	255	13	b	b	PROPN
ejpam-4128	255	14	>	>	SYM
ejpam-4128	255	15	1	1	NUM
ejpam-4128	255	16	and	and	CCONJ
ejpam-4128	255	17	λ	λ	X
ejpam-4128	255	18	>	>	X
ejpam-4128	255	19	0	0	NUM
ejpam-4128	256	1	such	such	ADJ
ejpam-4128	256	2	that	that	PRON
ejpam-4128	256	3	for	for	ADP
ejpam-4128	256	4	all	all	DET
ejpam-4128	256	5	k	k	PROPN
ejpam-4128	256	6	≥	≥	NUM
ejpam-4128	256	7	1	1	NUM
ejpam-4128	256	8	,	,	PUNCT
ejpam-4128	256	9	|χk|	|χk|	ADJ
ejpam-4128	256	10	≤	≤	NUM
ejpam-4128	256	11	b	b	NOUN
ejpam-4128	257	1	and	and	CCONJ
ejpam-4128	257	2	if	if	SCONJ
ejpam-4128	257	3	∥sk∥	∥sk∥	PRON
ejpam-4128	257	4	≤	≤	NUM
ejpam-4128	257	5	λ	λ	PROPN
ejpam-4128	257	6	,	,	PUNCT
ejpam-4128	257	7	we	we	PRON
ejpam-4128	257	8	obtain|ηk|	obtain|ηk|	ADV
ejpam-4128	257	9	≤	≤	ADV
ejpam-4128	257	10	1	1	NUM
ejpam-4128	257	11	2b	2b	NUM
ejpam-4128	257	12	.	.	PUNCT
ejpam-4128	258	1	lemma	lemma	PROPN
ejpam-4128	258	2	4.3	4.3	NUM
ejpam-4128	258	3	consider	consider	VERB
ejpam-4128	258	4	the	the	DET
ejpam-4128	258	5	cg	cg	NOUN
ejpam-4128	258	6	method	method	NOUN
ejpam-4128	258	7	of	of	ADP
ejpam-4128	258	8	the	the	DET
ejpam-4128	258	9	form	form	NOUN
ejpam-4128	258	10	(	(	PUNCT
ejpam-4128	258	11	1	1	NUM
ejpam-4128	258	12	)	)	PUNCT
ejpam-4128	258	13	and	and	CCONJ
ejpam-4128	258	14	(	(	PUNCT
ejpam-4128	258	15	2	2	X
ejpam-4128	258	16	)	)	PUNCT
ejpam-4128	258	17	with	with	ADP
ejpam-4128	258	18	χ+	χ+	PROPN
ejpam-4128	258	19	k	k	X
ejpam-4128	258	20	,	,	PUNCT
ejpam-4128	258	21	where	where	SCONJ
ejpam-4128	258	22	the	the	DET
ejpam-4128	258	23	step	step	NOUN
ejpam-4128	258	24	size	size	NOUN
ejpam-4128	258	25	satisfies	satisfy	VERB
ejpam-4128	258	26	swp	swp	PROPN
ejpam-4128	258	27	line	line	NOUN
ejpam-4128	258	28	search	search	NOUN
ejpam-4128	258	29	(	(	PUNCT
ejpam-4128	258	30	4	4	NUM
ejpam-4128	258	31	)	)	PUNCT
ejpam-4128	258	32	and	and	CCONJ
ejpam-4128	258	33	(	(	PUNCT
ejpam-4128	258	34	5	5	NUM
ejpam-4128	258	35	)	)	PUNCT
ejpam-4128	258	36	.	.	PUNCT
ejpam-4128	259	1	if	if	SCONJ
ejpam-4128	259	2	equation	equation	NOUN
ejpam-4128	259	3	(	(	PUNCT
ejpam-4128	259	4	21	21	NUM
ejpam-4128	259	5	)	)	PUNCT
ejpam-4128	259	6	holds	hold	VERB
ejpam-4128	259	7	true	true	ADJ
ejpam-4128	259	8	,	,	PUNCT
ejpam-4128	259	9	then	then	ADV
ejpam-4128	259	10	χ+	χ+	PROPN
ejpam-4128	259	11	k	k	PROPN
ejpam-4128	259	12	possesses	possess	VERB
ejpam-4128	259	13	property	property	NOUN
ejpam-4128	259	14	*	*	PUNCT
ejpam-4128	259	15	.	.	PUNCT
ejpam-4128	260	1	namely	namely	ADV
ejpam-4128	260	2	,	,	PUNCT
ejpam-4128	260	3	suppose	suppose	VERB
ejpam-4128	260	4	(	(	PUNCT
ejpam-4128	260	5	21	21	NUM
ejpam-4128	260	6	)	)	PUNCT
ejpam-4128	260	7	holds	hold	VERB
ejpam-4128	260	8	,	,	PUNCT
ejpam-4128	260	9	then	then	ADV
ejpam-4128	260	10	there	there	PRON
ejpam-4128	260	11	exist	exist	VERB
ejpam-4128	260	12	b	b	PROPN
ejpam-4128	260	13	>	>	X
ejpam-4128	261	1	1and	1and	NUM
ejpam-4128	261	2	λ	λ	X
ejpam-4128	261	3	>	>	X
ejpam-4128	261	4	0	0	PUNCT
ejpam-4128	262	1	for	for	ADP
ejpam-4128	262	2	all	all	DET
ejpam-4128	262	3	k	k	PROPN
ejpam-4128	262	4	≥	≥	NUM
ejpam-4128	262	5	1	1	NUM
ejpam-4128	262	6	whereby	whereby	SCONJ
ejpam-4128	262	7	∣∣χ+	∣∣χ+	ADP
ejpam-4128	262	8	k	k	PROPN
ejpam-4128	262	9	∣∣	∣∣	NUM
ejpam-4128	262	10	≤	≤	NUM
ejpam-4128	262	11	b	b	NOUN
ejpam-4128	262	12	and	and	CCONJ
ejpam-4128	262	13	if	if	SCONJ
ejpam-4128	262	14	∥sk∥	∥sk∥	PRON
ejpam-4128	262	15	≤	≤	NUM
ejpam-4128	262	16	λ	λ	PROPN
ejpam-4128	262	17	,	,	PUNCT
ejpam-4128	262	18	we	we	PRON
ejpam-4128	262	19	obtain|χk|	obtain|χk|	VERB
ejpam-4128	262	20	≤	≤	NUM
ejpam-4128	262	21	1	1	NUM
ejpam-4128	262	22	2b	2b	NOUN
ejpam-4128	262	23	.	.	PUNCT
ejpam-4128	263	1	proof	proof	NOUN
ejpam-4128	263	2	.	.	PUNCT
ejpam-4128	264	1	as	as	ADP
ejpam-4128	264	2	a	a	DET
ejpam-4128	264	3	result	result	NOUN
ejpam-4128	264	4	set	set	VERB
ejpam-4128	264	5	b	b	PROPN
ejpam-4128	264	6	=	=	SYM
ejpam-4128	264	7	2(l+t)γ̄b	2(l+t)γ̄b	PROPN
ejpam-4128	264	8	γ2	γ2	NOUN
ejpam-4128	264	9	≥	≥	NUM
ejpam-4128	264	10	1	1	NUM
ejpam-4128	264	11	,	,	PUNCT
ejpam-4128	264	12	andλ	andλ	NOUN
ejpam-4128	264	13	=	=	SYM
ejpam-4128	264	14	γ2	γ2	PROPN
ejpam-4128	264	15	2b(l+t)γ̄	2b(l+t)γ̄	NUM
ejpam-4128	264	16	.	.	PUNCT
ejpam-4128	265	1	using	use	VERB
ejpam-4128	265	2	swp	swp	PROPN
ejpam-4128	265	3	(	(	PUNCT
ejpam-4128	265	4	4	4	NUM
ejpam-4128	265	5	)	)	PUNCT
ejpam-4128	265	6	and	and	CCONJ
ejpam-4128	265	7	(	(	PUNCT
ejpam-4128	265	8	5	5	NUM
ejpam-4128	265	9	)	)	PUNCT
ejpam-4128	265	10	with	with	ADP
ejpam-4128	265	11	equation	equation	NOUN
ejpam-4128	265	12	(	(	PUNCT
ejpam-4128	265	13	21	21	NUM
ejpam-4128	265	14	)	)	PUNCT
ejpam-4128	265	15	,	,	PUNCT
ejpam-4128	265	16	we	we	PRON
ejpam-4128	265	17	obtain∣∣χ+	obtain∣∣χ+	PUNCT
ejpam-4128	265	18	k	k	X
ejpam-4128	265	19	∣∣	∣∣	X
ejpam-4128	265	20	≤	≤	NOUN
ejpam-4128	265	21	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-4128	265	22	gtk	gtk	NOUN
ejpam-4128	265	23	yk−1	yk−1	PROPN
ejpam-4128	265	24	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	265	25	∣∣∣∣∣+t	∣∣∣∣∣+t	PROPN
ejpam-4128	265	26	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-4128	265	27	gtk	gtk	NOUN
ejpam-4128	265	28	sk−1	sk−1	PROPN
ejpam-4128	265	29	dtk−1gk−1	dtk−1gk−1	X
ejpam-4128	265	30	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-4128	265	31	≤	≤	ADJ
ejpam-4128	265	32	l	l	NOUN
ejpam-4128	265	33	∥gk∥	∥gk∥	NOUN
ejpam-4128	265	34	∥sk−1∥+	∥sk−1∥+	PROPN
ejpam-4128	265	35	t	t	PROPN
ejpam-4128	265	36	∥gk∥	∥gk∥	NOUN
ejpam-4128	265	37	∥sk−1∥	∥sk−1∥	NOUN
ejpam-4128	265	38	γ2	γ2	ADJ
ejpam-4128	265	39	≤	≤	NOUN
ejpam-4128	265	40	2(l+	2(l+	NUM
ejpam-4128	265	41	t)γ̄b	t)γ̄b	NOUN
ejpam-4128	265	42	γ2	γ2	NOUN
ejpam-4128	265	43	=	=	SYM
ejpam-4128	265	44	b	b	PROPN
ejpam-4128	265	45	>	>	SYM
ejpam-4128	265	46	1	1	NUM
ejpam-4128	265	47	,	,	PUNCT
ejpam-4128	265	48	and	and	CCONJ
ejpam-4128	265	49	if	if	SCONJ
ejpam-4128	265	50	∥sk∥	∥sk∥	PRON
ejpam-4128	265	51	≤	≤	NUM
ejpam-4128	265	52	λ	λ	NOUN
ejpam-4128	265	53	,	,	PUNCT
ejpam-4128	265	54	∣∣χ+	∣∣χ+	ADP
ejpam-4128	265	55	k	k	X
ejpam-4128	265	56	∣∣	∣∣	X
ejpam-4128	265	57	≤	≤	PROPN
ejpam-4128	266	1	∣∣∣∣∣	∣∣∣∣∣	NOUN
ejpam-4128	266	2	gtk	gtk	NOUN
ejpam-4128	266	3	yk−1	yk−1	PROPN
ejpam-4128	266	4	dtk−1gk−1	dtk−1gk−1	PROPN
ejpam-4128	266	5	∣∣∣∣∣+	∣∣∣∣∣+	PROPN
ejpam-4128	266	6	t	t	PROPN
ejpam-4128	266	7	∣∣∣∣∣	∣∣∣∣∣	PROPN
ejpam-4128	266	8	gtk	gtk	NOUN
ejpam-4128	266	9	sk−1	sk−1	PROPN
ejpam-4128	266	10	dtk−1gk−1	dtk−1gk−1	X
ejpam-4128	266	11	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-4128	266	12	≤	≤	ADJ
ejpam-4128	266	13	l	l	NOUN
ejpam-4128	266	14	∥gk∥	∥gk∥	NOUN
ejpam-4128	266	15	∥sk−1∥+	∥sk−1∥+	PROPN
ejpam-4128	266	16	t	t	PROPN
ejpam-4128	266	17	∥gk∥	∥gk∥	NOUN
ejpam-4128	266	18	∥sk−1∥	∥sk−1∥	X
ejpam-4128	266	19	γ2	γ2	PROPN
ejpam-4128	266	20	≤	≤	NUM
ejpam-4128	266	21	(	(	PUNCT
ejpam-4128	266	22	l+	l+	NUM
ejpam-4128	266	23	t)γ̄λ	t)γ̄λ	PROPN
ejpam-4128	266	24	γ2	γ2	PROPN
ejpam-4128	266	25	,	,	PUNCT
ejpam-4128	266	26	which	which	PRON
ejpam-4128	266	27	implies	imply	VERB
ejpam-4128	266	28	∣∣χ+	∣∣χ+	NOUN
ejpam-4128	266	29	k	k	X
ejpam-4128	266	30	∣∣	∣∣	X
ejpam-4128	266	31	≤	≤	NUM
ejpam-4128	266	32	1	1	NUM
ejpam-4128	266	33	2b	2b	NOUN
ejpam-4128	266	34	(	(	PUNCT
ejpam-4128	266	35	23	23	NUM
ejpam-4128	266	36	)	)	PUNCT
ejpam-4128	266	37	the	the	DET
ejpam-4128	266	38	proof	proof	NOUN
ejpam-4128	266	39	is	be	AUX
ejpam-4128	266	40	complete	complete	ADJ
ejpam-4128	266	41	.	.	PUNCT
ejpam-4128	267	1	■	■	PUNCT
ejpam-4128	267	2	the	the	DET
ejpam-4128	267	3	following	follow	VERB
ejpam-4128	267	4	lemma	lemma	PROPN
ejpam-4128	267	5	and	and	CCONJ
ejpam-4128	267	6	theorem	theorem	NOUN
ejpam-4128	267	7	are	be	AUX
ejpam-4128	267	8	similar	similar	ADJ
ejpam-4128	267	9	to	to	ADP
ejpam-4128	267	10	that	that	PRON
ejpam-4128	267	11	presented	present	VERB
ejpam-4128	267	12	by	by	ADP
ejpam-4128	267	13	[	[	X
ejpam-4128	267	14	15	15	NUM
ejpam-4128	267	15	]	]	PUNCT
ejpam-4128	267	16	.	.	PUNCT
ejpam-4128	268	1	here	here	ADV
ejpam-4128	268	2	,	,	PUNCT
ejpam-4128	268	3	we	we	PRON
ejpam-4128	268	4	present	present	VERB
ejpam-4128	268	5	lemma	lemma	PROPN
ejpam-4128	268	6	4.4	4.4	NUM
ejpam-4128	268	7	without	without	ADP
ejpam-4128	268	8	its	its	PRON
ejpam-4128	268	9	proof	proof	NOUN
ejpam-4128	268	10	,	,	PUNCT
ejpam-4128	268	11	which	which	PRON
ejpam-4128	268	12	can	can	AUX
ejpam-4128	268	13	be	be	AUX
ejpam-4128	268	14	referred	refer	VERB
ejpam-4128	268	15	to	to	ADP
ejpam-4128	268	16	in	in	ADP
ejpam-4128	268	17	[	[	X
ejpam-4128	268	18	15	15	NUM
ejpam-4128	268	19	]	]	PUNCT
ejpam-4128	268	20	.	.	PUNCT
ejpam-4128	269	1	s.	s.	PROPN
ejpam-4128	269	2	ismail	ismail	PROPN
ejpam-4128	269	3	et	et	PROPN
ejpam-4128	269	4	al	al	PROPN
ejpam-4128	269	5	.	.	PUNCT
ejpam-4128	269	6	/	/	SYM
ejpam-4128	269	7	eur	eur	PROPN
ejpam-4128	269	8	.	.	PUNCT
ejpam-4128	270	1	j.	j.	PROPN
ejpam-4128	270	2	pure	pure	PROPN
ejpam-4128	270	3	appl	appl	PROPN
ejpam-4128	270	4	.	.	PROPN
ejpam-4128	270	5	math	math	PROPN
ejpam-4128	270	6	,	,	PUNCT
ejpam-4128	270	7	14	14	NUM
ejpam-4128	270	8	(	(	PUNCT
ejpam-4128	270	9	4	4	NUM
ejpam-4128	270	10	)	)	PUNCT
ejpam-4128	270	11	(	(	PUNCT
ejpam-4128	270	12	2021	2021	NUM
ejpam-4128	270	13	)	)	PUNCT
ejpam-4128	270	14	,	,	PUNCT
ejpam-4128	270	15	1429	1429	NUM
ejpam-4128	270	16	-	-	SYM
ejpam-4128	270	17	1456	1456	NUM
ejpam-4128	270	18	1442	1442	NUM
ejpam-4128	270	19	lemma	lemma	PROPN
ejpam-4128	270	20	4.4	4.4	NUM
ejpam-4128	270	21	.	.	PUNCT
ejpam-4128	271	1	assume	assume	VERB
ejpam-4128	271	2	that	that	SCONJ
ejpam-4128	271	3	assumption	assumption	NOUN
ejpam-4128	271	4	1	1	NUM
ejpam-4128	271	5	holds	hold	NOUN
ejpam-4128	271	6	.	.	PUNCT
ejpam-4128	272	1	also	also	ADV
ejpam-4128	272	2	,	,	PUNCT
ejpam-4128	272	3	assume	assume	VERB
ejpam-4128	272	4	that	that	SCONJ
ejpam-4128	272	5	the	the	DET
ejpam-4128	272	6	sequences	sequence	NOUN
ejpam-4128	272	7	{	{	PUNCT
ejpam-4128	272	8	gk	gk	NOUN
ejpam-4128	272	9	}	}	PUNCT
ejpam-4128	272	10	and	and	CCONJ
ejpam-4128	272	11	{	{	PUNCT
ejpam-4128	272	12	dk	dk	NOUN
ejpam-4128	272	13	}	}	PUNCT
ejpam-4128	272	14	are	be	AUX
ejpam-4128	272	15	generated	generate	VERB
ejpam-4128	272	16	by	by	ADP
ejpam-4128	272	17	algorithm	algorithm	NOUN
ejpam-4128	272	18	1	1	NUM
ejpam-4128	272	19	,	,	PUNCT
ejpam-4128	272	20	in	in	ADP
ejpam-4128	272	21	which	which	PRON
ejpam-4128	272	22	αk	αk	ADP
ejpam-4128	272	23	is	be	AUX
ejpam-4128	272	24	computed	compute	VERB
ejpam-4128	272	25	by	by	ADP
ejpam-4128	272	26	the	the	DET
ejpam-4128	272	27	wwp	wwp	PROPN
ejpam-4128	272	28	line	line	NOUN
ejpam-4128	272	29	search	search	NOUN
ejpam-4128	272	30	where	where	SCONJ
ejpam-4128	272	31	the	the	DET
ejpam-4128	272	32	sufficient	sufficient	ADJ
ejpam-4128	272	33	descent	descent	NOUN
ejpam-4128	272	34	condition	condition	NOUN
ejpam-4128	272	35	holds	hold	VERB
ejpam-4128	272	36	,	,	PUNCT
ejpam-4128	272	37	assuming	assume	VERB
ejpam-4128	272	38	that	that	SCONJ
ejpam-4128	272	39	the	the	DET
ejpam-4128	272	40	method	method	NOUN
ejpam-4128	272	41	has	have	VERB
ejpam-4128	272	42	property	property	NOUN
ejpam-4128	272	43	*	*	PUNCT
ejpam-4128	272	44	.	.	PUNCT
ejpam-4128	273	1	suppose	suppose	VERB
ejpam-4128	273	2	also	also	ADV
ejpam-4128	273	3	∥gk∥	∥gk∥	ADJ
ejpam-4128	273	4	≥	≥	PROPN
ejpam-4128	273	5	γ	γ	PROPN
ejpam-4128	273	6	for	for	ADP
ejpam-4128	273	7	someλ	someλ	PROPN
ejpam-4128	273	8	>	>	X
ejpam-4128	274	1	0	0	X
ejpam-4128	274	2	.	.	PUNCT
ejpam-4128	275	1	then	then	ADV
ejpam-4128	275	2	,	,	PUNCT
ejpam-4128	275	3	there	there	PRON
ejpam-4128	275	4	exists	exist	VERB
ejpam-4128	275	5	λ	λ	PROPN
ejpam-4128	275	6	>	>	X
ejpam-4128	275	7	0	0	NUM
ejpam-4128	275	8	such	such	ADJ
ejpam-4128	275	9	that	that	PRON
ejpam-4128	275	10	for	for	ADP
ejpam-4128	275	11	any∆	any∆	PUNCT
ejpam-4128	275	12	∈	∈	PROPN
ejpam-4128	275	13	n	n	PRON
ejpam-4128	275	14	and	and	CCONJ
ejpam-4128	275	15	any	any	DET
ejpam-4128	275	16	index	index	NOUN
ejpam-4128	275	17	k0	k0	PROPN
ejpam-4128	275	18	,	,	PUNCT
ejpam-4128	275	19	there	there	PRON
ejpam-4128	275	20	is	be	VERB
ejpam-4128	275	21	an	an	DET
ejpam-4128	275	22	index	index	NOUN
ejpam-4128	275	23	k	k	PROPN
ejpam-4128	275	24	>	>	X
ejpam-4128	275	25	k0	k0	PROPN
ejpam-4128	275	26	exists	exist	VERB
ejpam-4128	275	27	that	that	SCONJ
ejpam-4128	275	28	satisfies∣∣∣κλk,∆∣∣∣	satisfies∣∣∣κλk,∆∣∣∣	PROPN
ejpam-4128	275	29	>	>	X
ejpam-4128	275	30	λ	λ	PROPN
ejpam-4128	275	31	2	2	NUM
ejpam-4128	275	32	,	,	PUNCT
ejpam-4128	275	33	where	where	SCONJ
ejpam-4128	275	34	κλk,∆	κλk,∆	ADV
ejpam-4128	275	35	=	=	PRON
ejpam-4128	275	36	{	{	PUNCT
ejpam-4128	275	37	i	i	PRON
ejpam-4128	275	38	∈n	∈n	VERB
ejpam-4128	275	39	:	:	PUNCT
ejpam-4128	275	40	k	k	X
ejpam-4128	275	41	≤	≤	PROPN
ejpam-4128	276	1	i	i	PRON
ejpam-4128	276	2	≤	≤	NUM
ejpam-4128	276	3	k	k	X
ejpam-4128	277	1	+	+	ADJ
ejpam-4128	277	2	∆−	∆−	NOUN
ejpam-4128	277	3	1	1	NUM
ejpam-4128	277	4	,	,	PUNCT
ejpam-4128	277	5	∥si∥	∥si∥	ADJ
ejpam-4128	277	6	>	>	X
ejpam-4128	277	7	λ	λ	PROPN
ejpam-4128	277	8	,	,	PUNCT
ejpam-4128	277	9	n	n	PRON
ejpam-4128	277	10	denotes	denote	VERB
ejpam-4128	277	11	the	the	DET
ejpam-4128	277	12	set	set	NOUN
ejpam-4128	277	13	of	of	ADP
ejpam-4128	277	14	positive	positive	ADJ
ejpam-4128	277	15	integers	integer	NOUN
ejpam-4128	277	16	and	and	CCONJ
ejpam-4128	277	17	∣∣∣κλk,∆∣∣∣	∣∣∣κλk,∆∣∣∣	NOUN
ejpam-4128	277	18	denotes	denote	VERB
ejpam-4128	277	19	the	the	DET
ejpam-4128	277	20	number	number	NOUN
ejpam-4128	277	21	of	of	ADP
ejpam-4128	277	22	elements	element	NOUN
ejpam-4128	277	23	inκλk,∆.	inκλk,∆.	PROPN
ejpam-4128	277	24	theorem	theorem	VERB
ejpam-4128	277	25	4.4	4.4	NUM
ejpam-4128	277	26	suppose	suppose	VERB
ejpam-4128	277	27	that	that	SCONJ
ejpam-4128	277	28	assumption	assumption	NOUN
ejpam-4128	277	29	1	1	NUM
ejpam-4128	277	30	holds	hold	NOUN
ejpam-4128	277	31	.	.	PUNCT
ejpam-4128	278	1	assume	assume	VERB
ejpam-4128	278	2	also	also	ADV
ejpam-4128	278	3	that	that	SCONJ
ejpam-4128	278	4	the	the	DET
ejpam-4128	278	5	sequences	sequence	NOUN
ejpam-4128	278	6	{	{	PUNCT
ejpam-4128	278	7	gk	gk	NOUN
ejpam-4128	278	8	}	}	PUNCT
ejpam-4128	278	9	and	and	CCONJ
ejpam-4128	278	10	{	{	PUNCT
ejpam-4128	278	11	dk	dk	NOUN
ejpam-4128	278	12	}	}	PUNCT
ejpam-4128	278	13	are	be	AUX
ejpam-4128	278	14	generated	generate	VERB
ejpam-4128	278	15	by	by	ADP
ejpam-4128	278	16	algorithm	algorithm	NOUN
ejpam-4128	278	17	1	1	NUM
ejpam-4128	278	18	in	in	ADP
ejpam-4128	278	19	which	which	PRON
ejpam-4128	278	20	αk	αk	ADP
ejpam-4128	278	21	is	be	AUX
ejpam-4128	278	22	computed	compute	VERB
ejpam-4128	278	23	by	by	ADP
ejpam-4128	278	24	the	the	DET
ejpam-4128	278	25	wwp	wwp	PROPN
ejpam-4128	278	26	line	line	NOUN
ejpam-4128	278	27	search	search	NOUN
ejpam-4128	278	28	and	and	CCONJ
ejpam-4128	278	29	the	the	DET
ejpam-4128	278	30	sufficient	sufficient	ADJ
ejpam-4128	278	31	descent	descent	NOUN
ejpam-4128	278	32	condition	condition	NOUN
ejpam-4128	278	33	holds	hold	VERB
ejpam-4128	278	34	.	.	PUNCT
ejpam-4128	279	1	also	also	ADV
ejpam-4128	279	2	,	,	PUNCT
ejpam-4128	279	3	suppose	suppose	VERB
ejpam-4128	279	4	the	the	DET
ejpam-4128	279	5	property	property	NOUN
ejpam-4128	279	6	*	*	PUNCT
ejpam-4128	279	7	holds	hold	NOUN
ejpam-4128	279	8	.	.	PUNCT
ejpam-4128	280	1	then	then	ADV
ejpam-4128	280	2	,	,	PUNCT
ejpam-4128	280	3	we	we	PRON
ejpam-4128	280	4	have	have	VERB
ejpam-4128	280	5	lim	lim	PROPN
ejpam-4128	280	6	k→∞	k→∞	PROPN
ejpam-4128	280	7	inf	inf	PROPN
ejpam-4128	280	8	∥gk∥	∥gk∥	PROPN
ejpam-4128	280	9	=	=	SYM
ejpam-4128	280	10	0	0	X
ejpam-4128	280	11	.	.	PUNCT
ejpam-4128	281	1	proof	proof	NOUN
ejpam-4128	281	2	.	.	PUNCT
ejpam-4128	282	1	based	base	VERB
ejpam-4128	282	2	on	on	ADP
ejpam-4128	282	3	lemma	lemma	PROPN
ejpam-4128	282	4	4.2	4.2	NUM
ejpam-4128	282	5	and	and	CCONJ
ejpam-4128	282	6	lemma	lemma	PROPN
ejpam-4128	282	7	4.4	4.4	NUM
ejpam-4128	282	8	,	,	PUNCT
ejpam-4128	282	9	the	the	DET
ejpam-4128	282	10	proof	proof	NOUN
ejpam-4128	282	11	is	be	AUX
ejpam-4128	282	12	done	do	VERB
ejpam-4128	282	13	by	by	ADP
ejpam-4128	282	14	contradiction	contradiction	NOUN
ejpam-4128	282	15	.	.	PUNCT
ejpam-4128	283	1	we	we	PRON
ejpam-4128	283	2	defineui	defineui	VERB
ejpam-4128	283	3	:	:	PUNCT
ejpam-4128	283	4	=	=	SYM
ejpam-4128	283	5	di	di	X
ejpam-4128	283	6	∥di∥	∥di∥	NOUN
ejpam-4128	283	7	.	.	PUNCT
ejpam-4128	284	1	for	for	ADP
ejpam-4128	284	2	any	any	DET
ejpam-4128	284	3	two	two	NUM
ejpam-4128	284	4	indexes	index	NOUN
ejpam-4128	284	5	,	,	PUNCT
ejpam-4128	284	6	l	l	NOUN
ejpam-4128	284	7	,	,	PUNCT
ejpam-4128	284	8	k	k	PROPN
ejpam-4128	284	9	with	with	ADP
ejpam-4128	284	10	l	l	PROPN
ejpam-4128	284	11	≥	≥	X
ejpam-4128	284	12	k	k	NOUN
ejpam-4128	284	13	,	,	PUNCT
ejpam-4128	284	14	we	we	PRON
ejpam-4128	284	15	have	have	VERB
ejpam-4128	284	16	xl	xl	PROPN
ejpam-4128	284	17	−	−	PROPN
ejpam-4128	284	18	xk−1	xk−1	PROPN
ejpam-4128	284	19	=	=	PUNCT
ejpam-4128	285	1	l∑	l∑	PROPN
ejpam-4128	286	1	i	i	PRON
ejpam-4128	286	2	=	=	PROPN
ejpam-4128	286	3	k	k	X
ejpam-4128	286	4	∥si−1∥ui−1	∥si−1∥ui−1	PROPN
ejpam-4128	286	5	=	=	PRON
ejpam-4128	286	6	=	=	PROPN
ejpam-4128	286	7	l∑	l∑	PROPN
ejpam-4128	286	8	i	i	PROPN
ejpam-4128	286	9	=	=	PROPN
ejpam-4128	286	10	k	k	NOUN
ejpam-4128	286	11	∥si−1∥uk−1	∥si−1∥uk−1	PROPN
ejpam-4128	287	1	+	+	CCONJ
ejpam-4128	287	2	l∑	l∑	NUM
ejpam-4128	288	1	i	i	PRON
ejpam-4128	288	2	=	=	PROPN
ejpam-4128	288	3	k	k	PROPN
ejpam-4128	288	4	∥si−1∥	∥si−1∥	NOUN
ejpam-4128	288	5	(	(	PUNCT
ejpam-4128	288	6	ui−1	ui−1	PROPN
ejpam-4128	288	7	−	−	PROPN
ejpam-4128	288	8	uk−1	uk−1	PROPN
ejpam-4128	288	9	)	)	PUNCT
ejpam-4128	288	10	,	,	PUNCT
ejpam-4128	288	11	where	where	SCONJ
ejpam-4128	288	12	si−1	si−1	PROPN
ejpam-4128	288	13	=	=	PROPN
ejpam-4128	288	14	xi	xi	PROPN
ejpam-4128	288	15	−	−	PROPN
ejpam-4128	288	16	xi−1	xi−1	PROPN
ejpam-4128	288	17	.	.	PUNCT
ejpam-4128	289	1	taking	take	VERB
ejpam-4128	289	2	the	the	DET
ejpam-4128	289	3	norms	norm	NOUN
ejpam-4128	289	4	,	,	PUNCT
ejpam-4128	289	5	we	we	PRON
ejpam-4128	289	6	obtain	obtain	VERB
ejpam-4128	289	7	l∑	l∑	PUNCT
ejpam-4128	290	1	i	i	PRON
ejpam-4128	290	2	=	=	PROPN
ejpam-4128	290	3	k	k	PROPN
ejpam-4128	290	4	∥si−1∥	∥si−1∥	NOUN
ejpam-4128	291	1	≤	≤	NUM
ejpam-4128	291	2	∥xl∥+	∥xl∥+	NOUN
ejpam-4128	291	3	∥xk−1∥+	∥xk−1∥+	INTJ
ejpam-4128	291	4	l∑	l∑	PUNCT
ejpam-4128	292	1	i	i	PRON
ejpam-4128	292	2	=	=	NOUN
ejpam-4128	292	3	k	k	PROPN
ejpam-4128	292	4	∥si−1∥	∥si−1∥	X
ejpam-4128	292	5	∥ui−1	∥ui−1	PROPN
ejpam-4128	292	6	−	−	PROPN
ejpam-4128	292	7	uk−1∥	uk−1∥	PROPN
ejpam-4128	292	8	.	.	PUNCT
ejpam-4128	293	1	using	use	VERB
ejpam-4128	293	2	assumption	assumption	NOUN
ejpam-4128	293	3	1	1	NUM
ejpam-4128	293	4	,	,	PUNCT
ejpam-4128	293	5	we	we	PRON
ejpam-4128	293	6	have	have	VERB
ejpam-4128	293	7	that	that	SCONJ
ejpam-4128	293	8	the	the	DET
ejpam-4128	293	9	sequence{xk	sequence{xk	NOUN
ejpam-4128	293	10	}	}	PUNCT
ejpam-4128	293	11	is	be	AUX
ejpam-4128	293	12	bounded	bound	VERB
ejpam-4128	293	13	,	,	PUNCT
ejpam-4128	293	14	and	and	CCONJ
ejpam-4128	293	15	there	there	PRON
ejpam-4128	293	16	exists	exist	VERB
ejpam-4128	293	17	a	a	DET
ejpam-4128	293	18	positive	positive	ADJ
ejpam-4128	293	19	constant	constant	ADJ
ejpam-4128	293	20	ηsuch	ηsuch	NOUN
ejpam-4128	293	21	that	that	PRON
ejpam-4128	293	22	∥xk∥	∥xk∥	VERB
ejpam-4128	293	23	≤	≤	PUNCT
ejpam-4128	293	24	η	η	PROPN
ejpam-4128	293	25	,	,	PUNCT
ejpam-4128	293	26	for	for	ADP
ejpam-4128	293	27	all	all	DET
ejpam-4128	293	28	k	k	PROPN
ejpam-4128	293	29	≥	≥	NUM
ejpam-4128	293	30	1	1	NUM
ejpam-4128	293	31	.	.	PUNCT
ejpam-4128	294	1	thus	thus	ADV
ejpam-4128	294	2	,	,	PUNCT
ejpam-4128	294	3	∥xl∥+	∥xl∥+	PROPN
ejpam-4128	294	4	∥xk−1∥	∥xk−1∥	NOUN
ejpam-4128	294	5	≤	≤	PROPN
ejpam-4128	294	6	2η	2η	NUM
ejpam-4128	294	7	,	,	PUNCT
ejpam-4128	294	8	which	which	PRON
ejpam-4128	294	9	implies	imply	VERB
ejpam-4128	294	10	that	that	PRON
ejpam-4128	294	11	l∑	l∑	PROPN
ejpam-4128	295	1	i	i	PRON
ejpam-4128	295	2	=	=	PROPN
ejpam-4128	295	3	k	k	PROPN
ejpam-4128	295	4	∥si−1∥	∥si−1∥	NOUN
ejpam-4128	295	5	≤	≤	X
ejpam-4128	295	6	2η	2η	PROPN
ejpam-4128	296	1	+	+	CCONJ
ejpam-4128	296	2	l∑	l∑	PROPN
ejpam-4128	297	1	i	i	PRON
ejpam-4128	297	2	=	=	PROPN
ejpam-4128	297	3	k	k	PROPN
ejpam-4128	297	4	∥si−1∥	∥si−1∥	X
ejpam-4128	297	5	∥ui−1	∥ui−1	PROPN
ejpam-4128	297	6	−	−	PROPN
ejpam-4128	297	7	uk−1∥	uk−1∥	PROPN
ejpam-4128	297	8	.	.	PUNCT
ejpam-4128	298	1	(	(	PUNCT
ejpam-4128	298	2	24	24	NUM
ejpam-4128	298	3	)	)	PUNCT
ejpam-4128	298	4	assume	assume	VERB
ejpam-4128	298	5	λ	λ	X
ejpam-4128	298	6	>	>	X
ejpam-4128	298	7	0	0	PUNCT
ejpam-4128	299	1	given	give	VERB
ejpam-4128	299	2	in	in	ADP
ejpam-4128	299	3	lemma	lemma	PROPN
ejpam-4128	299	4	4.4	4.4	NUM
ejpam-4128	299	5	,	,	PUNCT
ejpam-4128	299	6	following	follow	VERB
ejpam-4128	299	7	the	the	DET
ejpam-4128	299	8	notation	notation	NOUN
ejpam-4128	299	9	of	of	ADP
ejpam-4128	299	10	this	this	DET
ejpam-4128	299	11	lemma	lemma	PROPN
ejpam-4128	299	12	,	,	PUNCT
ejpam-4128	299	13	we	we	PRON
ejpam-4128	299	14	define	define	VERB
ejpam-4128	299	15	∆	∆	PROPN
ejpam-4128	299	16	:	:	PUNCT
ejpam-4128	299	17	=	=	SYM
ejpam-4128	299	18	⌈	⌈	SYM
ejpam-4128	299	19	8η	8η	NUM
ejpam-4128	299	20	λ	λ	PROPN
ejpam-4128	299	21	⌉	⌉	X
ejpam-4128	299	22	.	.	PUNCT
ejpam-4128	300	1	by	by	ADP
ejpam-4128	300	2	lemma	lemma	PROPN
ejpam-4128	300	3	4.2	4.2	NUM
ejpam-4128	300	4	,	,	PUNCT
ejpam-4128	300	5	we	we	PRON
ejpam-4128	300	6	can	can	AUX
ejpam-4128	300	7	find	find	VERB
ejpam-4128	300	8	an	an	DET
ejpam-4128	300	9	index	index	NOUN
ejpam-4128	300	10	k0such	k0such	NOUN
ejpam-4128	300	11	that	that	SCONJ
ejpam-4128	300	12	s.	s.	PROPN
ejpam-4128	300	13	ismail	ismail	PROPN
ejpam-4128	300	14	et	et	PROPN
ejpam-4128	300	15	al	al	PROPN
ejpam-4128	300	16	.	.	PUNCT
ejpam-4128	300	17	/	/	SYM
ejpam-4128	300	18	eur	eur	PROPN
ejpam-4128	300	19	.	.	PUNCT
ejpam-4128	301	1	j.	j.	PROPN
ejpam-4128	301	2	pure	pure	PROPN
ejpam-4128	301	3	appl	appl	PROPN
ejpam-4128	301	4	.	.	PROPN
ejpam-4128	301	5	math	math	PROPN
ejpam-4128	301	6	,	,	PUNCT
ejpam-4128	301	7	14	14	NUM
ejpam-4128	301	8	(	(	PUNCT
ejpam-4128	301	9	4	4	NUM
ejpam-4128	301	10	)	)	PUNCT
ejpam-4128	301	11	(	(	PUNCT
ejpam-4128	301	12	2021	2021	NUM
ejpam-4128	301	13	)	)	PUNCT
ejpam-4128	301	14	,	,	PUNCT
ejpam-4128	301	15	1429	1429	NUM
ejpam-4128	301	16	-	-	SYM
ejpam-4128	301	17	1456	1456	NUM
ejpam-4128	301	18	1443	1443	NUM
ejpam-4128	301	19	∞∑	∞∑	PROPN
ejpam-4128	301	20	k≥k0	k≥k0	PROPN
ejpam-4128	301	21	∥ui	∥ui	PROPN
ejpam-4128	301	22	−	−	PROPN
ejpam-4128	301	23	ui−1∥2	ui−1∥2	NOUN
ejpam-4128	301	24	<	<	X
ejpam-4128	301	25	1	1	NUM
ejpam-4128	301	26	4∆	4∆	NUM
ejpam-4128	301	27	.	.	PUNCT
ejpam-4128	302	1	(	(	PUNCT
ejpam-4128	302	2	25	25	NUM
ejpam-4128	302	3	)	)	PUNCT
ejpam-4128	302	4	with	with	ADP
ejpam-4128	302	5	this	this	DET
ejpam-4128	302	6	∆	∆	PROPN
ejpam-4128	302	7	and	and	CCONJ
ejpam-4128	302	8	k0	k0	PROPN
ejpam-4128	302	9	,	,	PUNCT
ejpam-4128	302	10	lemma	lemma	PROPN
ejpam-4128	302	11	4.4	4.4	PROPN
ejpam-4128	302	12	gives	give	VERB
ejpam-4128	302	13	an	an	DET
ejpam-4128	302	14	index	index	NOUN
ejpam-4128	302	15	k	k	PROPN
ejpam-4128	302	16	≥	≥	PROPN
ejpam-4128	302	17	k0	k0	PROPN
ejpam-4128	302	18	such	such	ADJ
ejpam-4128	302	19	that∣∣∣κλk,∆∣∣∣	that∣∣∣κλk,∆∣∣∣	PROPN
ejpam-4128	302	20	>	>	X
ejpam-4128	302	21	∆	∆	PROPN
ejpam-4128	302	22	2	2	X
ejpam-4128	302	23	.	.	PUNCT
ejpam-4128	303	1	(	(	PUNCT
ejpam-4128	303	2	26	26	NUM
ejpam-4128	303	3	)	)	PUNCT
ejpam-4128	303	4	next	next	ADV
ejpam-4128	303	5	,	,	PUNCT
ejpam-4128	303	6	by	by	ADP
ejpam-4128	303	7	the	the	DET
ejpam-4128	303	8	cauchy	cauchy	PROPN
ejpam-4128	303	9	-	-	PUNCT
ejpam-4128	303	10	schwarz	schwarz	PROPN
ejpam-4128	303	11	inequality	inequality	NOUN
ejpam-4128	303	12	and	and	CCONJ
ejpam-4128	303	13	(	(	PUNCT
ejpam-4128	303	14	25	25	NUM
ejpam-4128	303	15	)	)	PUNCT
ejpam-4128	303	16	,	,	PUNCT
ejpam-4128	303	17	we	we	PRON
ejpam-4128	303	18	have	have	VERB
ejpam-4128	303	19	,	,	PUNCT
ejpam-4128	303	20	for	for	ADP
ejpam-4128	303	21	any	any	DET
ejpam-4128	303	22	index	index	NOUN
ejpam-4128	303	23	for	for	ADP
ejpam-4128	303	24	i	i	PRON
ejpam-4128	303	25	∈	∈	PROPN
ejpam-4128	304	1	[	[	X
ejpam-4128	304	2	k	k	X
ejpam-4128	304	3	,	,	PUNCT
ejpam-4128	304	4	k+	k+	NOUN
ejpam-4128	304	5	∆−	∆−	NOUN
ejpam-4128	304	6	1	1	NUM
ejpam-4128	304	7	]	]	PUNCT
ejpam-4128	304	8	such	such	ADJ
ejpam-4128	304	9	that	that	DET
ejpam-4128	304	10	∥ui−1	∥ui−1	PROPN
ejpam-4128	304	11	−	−	PROPN
ejpam-4128	304	12	uk−1∥	uk−1∥	NOUN
ejpam-4128	304	13	≤	≤	NOUN
ejpam-4128	304	14	i−1∑	i−1∑	PUNCT
ejpam-4128	304	15	j	j	PROPN
ejpam-4128	304	16	=	=	PROPN
ejpam-4128	304	17	k	k	PROPN
ejpam-4128	304	18	∥uj	∥uj	PROPN
ejpam-4128	304	19	−	−	PROPN
ejpam-4128	304	20	uj−1∥	uj−1∥	NOUN
ejpam-4128	304	21	,	,	PUNCT
ejpam-4128	304	22	≤	≤	NUM
ejpam-4128	304	23	(	(	PUNCT
ejpam-4128	304	24	i−	i−	PROPN
ejpam-4128	304	25	k)1/2	k)1/2	PROPN
ejpam-4128	304	26	(	(	PUNCT
ejpam-4128	304	27	i−1∑	i−1∑	PROPN
ejpam-4128	304	28	j	j	PROPN
ejpam-4128	304	29	=	=	PROPN
ejpam-4128	304	30	k	k	PROPN
ejpam-4128	304	31	∥uj	∥uj	PROPN
ejpam-4128	304	32	−	−	PROPN
ejpam-4128	304	33	uj−1∥2)1/2	uj−1∥2)1/2	ADJ
ejpam-4128	304	34	,	,	PUNCT
ejpam-4128	304	35	≤	≤	PROPN
ejpam-4128	304	36	∆1/2	∆1/2	PROPN
ejpam-4128	304	37	(	(	PUNCT
ejpam-4128	304	38	1	1	NUM
ejpam-4128	304	39	4∆	4∆	NUM
ejpam-4128	304	40	)	)	PUNCT
ejpam-4128	304	41	1/2	1/2	NUM
ejpam-4128	304	42	=	=	SYM
ejpam-4128	304	43	1	1	NUM
ejpam-4128	304	44	2	2	NUM
ejpam-4128	304	45	.	.	PUNCT
ejpam-4128	305	1	by	by	ADP
ejpam-4128	305	2	this	this	DET
ejpam-4128	305	3	relation	relation	NOUN
ejpam-4128	305	4	,	,	PUNCT
ejpam-4128	305	5	(	(	PUNCT
ejpam-4128	305	6	24	24	NUM
ejpam-4128	305	7	)	)	PUNCT
ejpam-4128	305	8	and	and	CCONJ
ejpam-4128	305	9	(	(	PUNCT
ejpam-4128	305	10	26	26	NUM
ejpam-4128	305	11	)	)	PUNCT
ejpam-4128	305	12	,	,	PUNCT
ejpam-4128	305	13	with	with	ADP
ejpam-4128	305	14	l	l	NOUN
ejpam-4128	305	15	=	=	PUNCT
ejpam-4128	305	16	k	k	X
ejpam-4128	306	1	+	+	ADJ
ejpam-4128	306	2	∆−	∆−	NOUN
ejpam-4128	306	3	1	1	NUM
ejpam-4128	306	4	,	,	PUNCT
ejpam-4128	306	5	we	we	PRON
ejpam-4128	306	6	have	have	VERB
ejpam-4128	306	7	2η	2η	NUM
ejpam-4128	306	8	≥	≥	NOUN
ejpam-4128	306	9	1	1	NUM
ejpam-4128	306	10	2	2	NUM
ejpam-4128	306	11	k+∆−1∑	k+∆−1∑	NOUN
ejpam-4128	307	1	i	i	PROPN
ejpam-4128	307	2	=	=	PROPN
ejpam-4128	307	3	k	k	PROPN
ejpam-4128	307	4	∥si−1∥	∥si−1∥	NOUN
ejpam-4128	307	5	>	>	X
ejpam-4128	307	6	λ	λ	X
ejpam-4128	307	7	2	2	NUM
ejpam-4128	307	8	∣∣∣κλk,∆∣∣∣	∣∣∣κλk,∆∣∣∣	NOUN
ejpam-4128	307	9	>	>	X
ejpam-4128	307	10	λ∆	λ∆	PROPN
ejpam-4128	307	11	4	4	NUM
ejpam-4128	307	12	.	.	PUNCT
ejpam-4128	308	1	thus	thus	ADV
ejpam-4128	308	2	,	,	PUNCT
ejpam-4128	308	3	∆	∆	PROPN
ejpam-4128	308	4	<	<	X
ejpam-4128	308	5	8η	8η	NUM
ejpam-4128	308	6	/	/	SYM
ejpam-4128	308	7	λ	λ	NOUN
ejpam-4128	308	8	,	,	PUNCT
ejpam-4128	308	9	which	which	PRON
ejpam-4128	308	10	contradicts	contradict	VERB
ejpam-4128	308	11	the	the	DET
ejpam-4128	308	12	definition	definition	NOUN
ejpam-4128	308	13	of	of	ADP
ejpam-4128	308	14	∆.	∆.	NOUN
ejpam-4128	308	15	the	the	DET
ejpam-4128	308	16	proof	proof	NOUN
ejpam-4128	308	17	is	be	AUX
ejpam-4128	308	18	then	then	ADV
ejpam-4128	308	19	complete	complete	ADJ
ejpam-4128	308	20	.	.	PUNCT
ejpam-4128	309	1	■	■	PUNCT
ejpam-4128	309	2	5	5	X
ejpam-4128	309	3	.	.	X
ejpam-4128	309	4	numerical	numerical	ADJ
ejpam-4128	309	5	results	result	NOUN
ejpam-4128	309	6	to	to	PART
ejpam-4128	309	7	test	test	VERB
ejpam-4128	309	8	the	the	DET
ejpam-4128	309	9	efficiency	efficiency	NOUN
ejpam-4128	309	10	of	of	ADP
ejpam-4128	309	11	the	the	DET
ejpam-4128	309	12	new	new	ADJ
ejpam-4128	309	13	search	search	NOUN
ejpam-4128	309	14	direction	direction	NOUN
ejpam-4128	309	15	(	(	PUNCT
ejpam-4128	309	16	12	12	NUM
ejpam-4128	309	17	)	)	PUNCT
ejpam-4128	309	18	,	,	PUNCT
ejpam-4128	309	19	we	we	PRON
ejpam-4128	309	20	selected	select	VERB
ejpam-4128	309	21	some	some	DET
ejpam-4128	309	22	test	test	NOUN
ejpam-4128	309	23	functions	function	NOUN
ejpam-4128	309	24	in	in	ADP
ejpam-4128	309	25	appendix	appendix	NOUN
ejpam-4128	309	26	1	1	NUM
ejpam-4128	309	27	from	from	ADP
ejpam-4128	309	28	cuter	cut	ADJ
ejpam-4128	309	29	[	[	X
ejpam-4128	309	30	21	21	NUM
ejpam-4128	309	31	]	]	PUNCT
ejpam-4128	309	32	.	.	PUNCT
ejpam-4128	310	1	a	a	DET
ejpam-4128	310	2	comparison	comparison	NOUN
ejpam-4128	310	3	made	make	VERB
ejpam-4128	310	4	with	with	ADP
ejpam-4128	310	5	strong	strong	ADJ
ejpam-4128	310	6	cg	cg	NOUN
ejpam-4128	310	7	coefficients	coefficient	NOUN
ejpam-4128	310	8	is	be	AUX
ejpam-4128	310	9	such	such	ADJ
ejpam-4128	310	10	as	as	ADP
ejpam-4128	310	11	cg	cg	NOUN
ejpam-4128	310	12	-	-	PUNCT
ejpam-4128	310	13	descent	descent	NOUN
ejpam-4128	310	14	5.3	5.3	NUM
ejpam-4128	311	1	[	[	X
ejpam-4128	311	2	17	17	NUM
ejpam-4128	311	3	]	]	PUNCT
ejpam-4128	311	4	,	,	PUNCT
ejpam-4128	311	5	dl+[10	dl+[10	NOUN
ejpam-4128	311	6	]	]	PUNCT
ejpam-4128	311	7	,	,	PUNCT
ejpam-4128	311	8	and	and	CCONJ
ejpam-4128	311	9	the	the	DET
ejpam-4128	311	10	search	search	NOUN
ejpam-4128	311	11	direction	direction	NOUN
ejpam-4128	311	12	dftcghs	dftcgh	VERB
ejpam-4128	312	1	k	k	PROPN
ejpam-4128	313	1	[	[	X
ejpam-4128	313	2	1	1	NUM
ejpam-4128	313	3	]	]	PUNCT
ejpam-4128	313	4	.	.	PUNCT
ejpam-4128	314	1	since	since	SCONJ
ejpam-4128	314	2	βdl	βdl	NOUN
ejpam-4128	314	3	k	k	PROPN
ejpam-4128	314	4	is	be	AUX
ejpam-4128	314	5	not	not	PART
ejpam-4128	314	6	non	non	ADJ
ejpam-4128	314	7	-	-	ADJ
ejpam-4128	314	8	negative	negative	ADJ
ejpam-4128	314	9	in	in	ADP
ejpam-4128	314	10	general	general	ADJ
ejpam-4128	314	11	,	,	PUNCT
ejpam-4128	314	12	we	we	PRON
ejpam-4128	314	13	use	use	VERB
ejpam-4128	314	14	βdl+	βdl+	PUNCT
ejpam-4128	314	15	k	k	PROPN
ejpam-4128	314	16	similar	similar	ADJ
ejpam-4128	314	17	to	to	ADP
ejpam-4128	314	18	[	[	X
ejpam-4128	314	19	24	24	NUM
ejpam-4128	314	20	]	]	PUNCT
ejpam-4128	314	21	as	as	SCONJ
ejpam-4128	314	22	follows	follow	VERB
ejpam-4128	314	23	βdl+	βdl+	PUNCT
ejpam-4128	314	24	k	k	PROPN
ejpam-4128	314	25	=	=	PUNCT
ejpam-4128	314	26	max{βhs	max{βhs	PROPN
ejpam-4128	314	27	k	k	PROPN
ejpam-4128	314	28	,	,	PUNCT
ejpam-4128	314	29	0	0	NUM
ejpam-4128	314	30	}	}	PUNCT
ejpam-4128	314	31	−	−	PROPN
ejpam-4128	314	32	t	t	NOUN
ejpam-4128	314	33	gtk	gtk	NOUN
ejpam-4128	314	34	sk−1	sk−1	PROPN
ejpam-4128	314	35	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	314	36	.βdl+	.βdl+	PUNCT
ejpam-4128	315	1	k	k	NOUN
ejpam-4128	315	2	=	=	PUNCT
ejpam-4128	315	3	max{βhs	max{βhs	PROPN
ejpam-4128	315	4	k	k	PROPN
ejpam-4128	315	5	,	,	PUNCT
ejpam-4128	315	6	0	0	NUM
ejpam-4128	315	7	}	}	PUNCT
ejpam-4128	315	8	−	−	PROPN
ejpam-4128	315	9	t	t	NOUN
ejpam-4128	315	10	gtk	gtk	NOUN
ejpam-4128	315	11	sk−1	sk−1	PROPN
ejpam-4128	315	12	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-4128	315	13	.	.	PUNCT
ejpam-4128	316	1	(	(	PUNCT
ejpam-4128	316	2	27	27	NUM
ejpam-4128	316	3	)	)	PUNCT
ejpam-4128	316	4	moreover	moreover	ADV
ejpam-4128	316	5	,	,	PUNCT
ejpam-4128	316	6	the	the	DET
ejpam-4128	316	7	authors	author	NOUN
ejpam-4128	316	8	in	in	ADP
ejpam-4128	316	9	[	[	X
ejpam-4128	316	10	10	10	NUM
ejpam-4128	316	11	]	]	X
ejpam-4128	316	12	restate	restate	ADJ
ejpam-4128	316	13	equation	equation	NOUN
ejpam-4128	316	14	(	(	PUNCT
ejpam-4128	316	15	27	27	NUM
ejpam-4128	316	16	)	)	PUNCT
ejpam-4128	316	17	using	use	VERB
ejpam-4128	316	18	the	the	DET
ejpam-4128	316	19	steepest	steep	ADJ
ejpam-4128	316	20	descent	descent	NOUN
ejpam-4128	316	21	if	if	SCONJ
ejpam-4128	316	22	it	it	PRON
ejpam-4128	316	23	does	do	AUX
ejpam-4128	316	24	not	not	PART
ejpam-4128	316	25	satisfy	satisfy	VERB
ejpam-4128	316	26	the	the	DET
ejpam-4128	316	27	descent	descent	NOUN
ejpam-4128	316	28	condition	condition	NOUN
ejpam-4128	316	29	.	.	PUNCT
ejpam-4128	317	1	the	the	DET
ejpam-4128	317	2	comparison	comparison	NOUN
ejpam-4128	317	3	was	be	AUX
ejpam-4128	317	4	made	make	VERB
ejpam-4128	317	5	based	base	VERB
ejpam-4128	317	6	on	on	ADP
ejpam-4128	317	7	the	the	DET
ejpam-4128	317	8	cpu	cpu	NOUN
ejpam-4128	317	9	time	time	NOUN
ejpam-4128	317	10	,	,	PUNCT
ejpam-4128	317	11	number	number	NOUN
ejpam-4128	317	12	of	of	ADP
ejpam-4128	317	13	iterations	iteration	NOUN
ejpam-4128	317	14	,	,	PUNCT
ejpam-4128	317	15	number	number	NOUN
ejpam-4128	317	16	of	of	ADP
ejpam-4128	317	17	function	function	NOUN
ejpam-4128	317	18	evaluations	evaluation	NOUN
ejpam-4128	317	19	,	,	PUNCT
ejpam-4128	317	20	and	and	CCONJ
ejpam-4128	317	21	number	number	NOUN
ejpam-4128	317	22	of	of	ADP
ejpam-4128	317	23	gradient	gradient	NOUN
ejpam-4128	317	24	evaluations	evaluation	NOUN
ejpam-4128	317	25	.	.	PUNCT
ejpam-4128	318	1	we	we	PRON
ejpam-4128	318	2	use	use	VERB
ejpam-4128	318	3	swp	swp	NOUN
ejpam-4128	318	4	line	line	NOUN
ejpam-4128	318	5	search	search	NOUN
ejpam-4128	318	6	for	for	ADP
ejpam-4128	318	7	dftcghs	dftcgh	NOUN
ejpam-4128	318	8	k	k	PROPN
ejpam-4128	318	9	and	and	CCONJ
ejpam-4128	318	10	dl+	dl+	PROPN
ejpam-4128	318	11	method	method	NOUN
ejpam-4128	318	12	with	with	ADP
ejpam-4128	318	13	δ	δ	PROPN
ejpam-4128	318	14	=	=	PROPN
ejpam-4128	318	15	0.01	0.01	NUM
ejpam-4128	318	16	and	and	CCONJ
ejpam-4128	318	17	σ	σ	NUM
ejpam-4128	318	18	=	=	NOUN
ejpam-4128	318	19	0.1	0.1	NUM
ejpam-4128	318	20	similar	similar	ADJ
ejpam-4128	318	21	to	to	ADP
ejpam-4128	318	22	that	that	PRON
ejpam-4128	318	23	used	use	VERB
ejpam-4128	318	24	by	by	ADP
ejpam-4128	318	25	the	the	DET
ejpam-4128	318	26	authors	author	NOUN
ejpam-4128	318	27	.	.	PUNCT
ejpam-4128	319	1	for	for	ADP
ejpam-4128	319	2	cg	cg	NOUN
ejpam-4128	319	3	-	-	PUNCT
ejpam-4128	319	4	descent	descent	NOUN
ejpam-4128	319	5	,	,	PUNCT
ejpam-4128	319	6	we	we	PRON
ejpam-4128	319	7	also	also	ADV
ejpam-4128	319	8	used	use	VERB
ejpam-4128	319	9	the	the	DET
ejpam-4128	319	10	approximate	approximate	ADJ
ejpam-4128	319	11	wolfe	wolfe	PROPN
ejpam-4128	319	12	-	-	PUNCT
ejpam-4128	319	13	powell	powell	PROPN
ejpam-4128	319	14	line	line	NOUN
ejpam-4128	319	15	search	search	NOUN
ejpam-4128	319	16	similar	similar	ADJ
ejpam-4128	319	17	to	to	ADP
ejpam-4128	319	18	that	that	PRON
ejpam-4128	319	19	used	use	VERB
ejpam-4128	319	20	by	by	ADP
ejpam-4128	319	21	[	[	X
ejpam-4128	319	22	17	17	NUM
ejpam-4128	319	23	]	]	PUNCT
ejpam-4128	319	24	.	.	PUNCT
ejpam-4128	320	1	moreover	moreover	ADV
ejpam-4128	320	2	,	,	PUNCT
ejpam-4128	320	3	we	we	PRON
ejpam-4128	320	4	used	use	VERB
ejpam-4128	320	5	swp	swp	NOUN
ejpam-4128	320	6	line	line	NOUN
ejpam-4128	320	7	search	search	NOUN
ejpam-4128	320	8	for	for	ADP
ejpam-4128	320	9	dftcgls	dftcgls	NOUN
ejpam-4128	320	10	k	k	NOUN
ejpam-4128	320	11	similar	similar	ADJ
ejpam-4128	320	12	to	to	ADP
ejpam-4128	320	13	that	that	PRON
ejpam-4128	320	14	used	use	VERB
ejpam-4128	320	15	by	by	ADP
ejpam-4128	320	16	[	[	X
ejpam-4128	320	17	8	8	NUM
ejpam-4128	320	18	]	]	PUNCT
ejpam-4128	320	19	as	as	SCONJ
ejpam-4128	320	20	follows	follow	VERB
ejpam-4128	320	21	:	:	PUNCT
ejpam-4128	320	22	f(xk	f(xk	PROPN
ejpam-4128	320	23	+	+	NUM
ejpam-4128	320	24	αkdk	αkdk	NOUN
ejpam-4128	320	25	)	)	PUNCT
ejpam-4128	320	26	≤	≤	NUM
ejpam-4128	320	27	f(xk	f(xk	PROPN
ejpam-4128	320	28	)	)	PUNCT
ejpam-4128	320	29	+	+	CCONJ
ejpam-4128	321	1	δαkg	δαkg	NOUN
ejpam-4128	321	2	t	t	PROPN
ejpam-4128	321	3	k	k	PROPN
ejpam-4128	321	4	dk	dk	PROPN
ejpam-4128	321	5	,	,	PUNCT
ejpam-4128	321	6	σ1	σ1	PROPN
ejpam-4128	321	7	g	g	PROPN
ejpam-4128	321	8	t	t	PROPN
ejpam-4128	321	9	k	k	PROPN
ejpam-4128	321	10	dk	dk	PROPN
ejpam-4128	321	11	≤	≤	PROPN
ejpam-4128	321	12	g(xk	g(xk	PROPN
ejpam-4128	321	13	+	+	CCONJ
ejpam-4128	321	14	αkdk	αkdk	NOUN
ejpam-4128	321	15	)	)	PUNCT
ejpam-4128	321	16	tdk	tdk	NOUN
ejpam-4128	321	17	≤	≤	PROPN
ejpam-4128	321	18	σ2	σ2	PROPN
ejpam-4128	321	19	g	g	PROPN
ejpam-4128	321	20	t	t	PROPN
ejpam-4128	321	21	k	k	PROPN
ejpam-4128	321	22	dk	dk	PROPN
ejpam-4128	321	23	,	,	PUNCT
ejpam-4128	321	24	s.	s.	PROPN
ejpam-4128	321	25	ismail	ismail	PROPN
ejpam-4128	321	26	et	et	PROPN
ejpam-4128	321	27	al	al	PROPN
ejpam-4128	321	28	.	.	PUNCT
ejpam-4128	321	29	/	/	SYM
ejpam-4128	321	30	eur	eur	PROPN
ejpam-4128	321	31	.	.	PUNCT
ejpam-4128	322	1	j.	j.	PROPN
ejpam-4128	322	2	pure	pure	PROPN
ejpam-4128	322	3	appl	appl	PROPN
ejpam-4128	322	4	.	.	PROPN
ejpam-4128	322	5	math	math	PROPN
ejpam-4128	322	6	,	,	PUNCT
ejpam-4128	322	7	14	14	NUM
ejpam-4128	322	8	(	(	PUNCT
ejpam-4128	322	9	4	4	NUM
ejpam-4128	322	10	)	)	PUNCT
ejpam-4128	322	11	(	(	PUNCT
ejpam-4128	322	12	2021	2021	NUM
ejpam-4128	322	13	)	)	PUNCT
ejpam-4128	322	14	,	,	PUNCT
ejpam-4128	322	15	1429	1429	NUM
ejpam-4128	322	16	-	-	SYM
ejpam-4128	322	17	1456	1456	NUM
ejpam-4128	322	18	1444	1444	NUM
ejpam-4128	322	19	0	0	NUM
ejpam-4128	322	20	<	<	X
ejpam-4128	322	21	δ	δ	PROPN
ejpam-4128	322	22	<	<	X
ejpam-4128	322	23	σ1	σ1	PROPN
ejpam-4128	322	24	≤	≤	PROPN
ejpam-4128	322	25	σ2	σ2	PROPN
ejpam-4128	322	26	<	<	X
ejpam-4128	322	27	1	1	NUM
ejpam-4128	322	28	,	,	PUNCT
ejpam-4128	322	29	where	where	SCONJ
ejpam-4128	322	30	δ	δ	PROPN
ejpam-4128	322	31	=	=	NOUN
ejpam-4128	322	32	0.0001	0.0001	NUM
ejpam-4128	322	33	,	,	PUNCT
ejpam-4128	322	34	σ1	σ1	NOUN
ejpam-4128	322	35	=	=	NOUN
ejpam-4128	322	36	0.1	0.1	NUM
ejpam-4128	322	37	,	,	PUNCT
ejpam-4128	322	38	and	and	CCONJ
ejpam-4128	322	39	σ2	σ2	PROPN
ejpam-4128	322	40	=	=	PROPN
ejpam-4128	322	41	0.4	0.4	NUM
ejpam-4128	322	42	.	.	PUNCT
ejpam-4128	323	1	the	the	DET
ejpam-4128	323	2	results	result	NOUN
ejpam-4128	323	3	of	of	ADP
ejpam-4128	323	4	ftcghs	ftcgh	NOUN
ejpam-4128	323	5	,	,	PUNCT
ejpam-4128	323	6	ftcgls	ftcgls	NOUN
ejpam-4128	323	7	,	,	PUNCT
ejpam-4128	323	8	and	and	CCONJ
ejpam-4128	323	9	dl+cg	dl+cg	NOUN
ejpam-4128	323	10	methods	method	NOUN
ejpam-4128	323	11	are	be	AUX
ejpam-4128	323	12	obtained	obtain	VERB
ejpam-4128	323	13	by	by	ADP
ejpam-4128	323	14	running	run	VERB
ejpam-4128	323	15	the	the	DET
ejpam-4128	323	16	modified	modify	VERB
ejpam-4128	323	17	code	code	NOUN
ejpam-4128	323	18	of	of	ADP
ejpam-4128	323	19	cg	cg	NOUN
ejpam-4128	323	20	-	-	PUNCT
ejpam-4128	323	21	descent	descent	NOUN
ejpam-4128	323	22	.	.	PUNCT
ejpam-4128	324	1	the	the	DET
ejpam-4128	324	2	code	code	NOUN
ejpam-4128	324	3	can	can	AUX
ejpam-4128	324	4	be	be	AUX
ejpam-4128	324	5	obtained	obtain	VERB
ejpam-4128	324	6	from	from	ADP
ejpam-4128	324	7	the	the	DET
ejpam-4128	324	8	hager	hager	NOUN
ejpam-4128	324	9	webpage	webpage	NOUN
ejpam-4128	324	10	:	:	PUNCT
ejpam-4128	324	11	https://people.clas.ufl.edu/hager/software/	https://people.clas.ufl.edu/hager/software/	PROPN
ejpam-4128	324	12	the	the	DET
ejpam-4128	324	13	norm	norm	NOUN
ejpam-4128	324	14	of	of	ADP
ejpam-4128	324	15	the	the	DET
ejpam-4128	324	16	gradient	gradient	NOUN
ejpam-4128	324	17	was	be	AUX
ejpam-4128	324	18	employed	employ	VERB
ejpam-4128	324	19	as	as	ADP
ejpam-4128	324	20	the	the	DET
ejpam-4128	324	21	stopping	stopping	NOUN
ejpam-4128	324	22	criterion	criterion	NOUN
ejpam-4128	324	23	,	,	PUNCT
ejpam-4128	324	24	specifically	specifically	ADV
ejpam-4128	324	25	∥gk∥	∥gk∥	ADJ
ejpam-4128	324	26	≤	≤	NUM
ejpam-4128	324	27	10−6	10−6	NUM
ejpam-4128	324	28	for	for	ADP
ejpam-4128	324	29	all	all	DET
ejpam-4128	324	30	methods	method	NOUN
ejpam-4128	324	31	.	.	PUNCT
ejpam-4128	325	1	the	the	DET
ejpam-4128	325	2	host	host	NOUN
ejpam-4128	325	3	computer	computer	NOUN
ejpam-4128	325	4	is	be	AUX
ejpam-4128	325	5	amd	amd	ADJ
ejpam-4128	325	6	a4	a4	NOUN
ejpam-4128	325	7	-	-	PUNCT
ejpam-4128	325	8	7210	7210	NUM
ejpam-4128	325	9	apu	apu	PROPN
ejpam-4128	325	10	radeon	radeon	PROPN
ejpam-4128	325	11	r3	r3	PROPN
ejpam-4128	325	12	graphics	graphic	NOUN
ejpam-4128	325	13	,	,	PUNCT
ejpam-4128	325	14	where	where	SCONJ
ejpam-4128	325	15	the	the	DET
ejpam-4128	325	16	installed	instal	VERB
ejpam-4128	325	17	memory	memory	NOUN
ejpam-4128	325	18	is	be	AUX
ejpam-4128	325	19	4	4	NUM
ejpam-4128	325	20	gb	gb	NOUN
ejpam-4128	325	21	with	with	ADP
ejpam-4128	325	22	operating	operating	NOUN
ejpam-4128	325	23	system	system	NOUN
ejpam-4128	325	24	ubuntu	ubuntu	NOUN
ejpam-4128	325	25	20.04.2.0	20.04.2.0	NUM
ejpam-4128	325	26	lts	lts	NOUN
ejpam-4128	325	27	.	.	PUNCT
ejpam-4128	326	1	the	the	DET
ejpam-4128	326	2	results	result	NOUN
ejpam-4128	326	3	are	be	AUX
ejpam-4128	326	4	shown	show	VERB
ejpam-4128	326	5	in	in	ADP
ejpam-4128	326	6	figures	figure	NOUN
ejpam-4128	326	7	1	1	NUM
ejpam-4128	326	8	,	,	PUNCT
ejpam-4128	326	9	2	2	NUM
ejpam-4128	326	10	,	,	PUNCT
ejpam-4128	326	11	and	and	CCONJ
ejpam-4128	326	12	3	3	NUM
ejpam-4128	326	13	,	,	PUNCT
ejpam-4128	326	14	in	in	ADP
ejpam-4128	326	15	which	which	PRON
ejpam-4128	326	16	a	a	DET
ejpam-4128	326	17	performance	performance	NOUN
ejpam-4128	326	18	measure	measure	NOUN
ejpam-4128	326	19	introduced	introduce	VERB
ejpam-4128	326	20	by	by	ADP
ejpam-4128	326	21	dolan	dolan	PROPN
ejpam-4128	326	22	and	and	CCONJ
ejpam-4128	326	23	more	more	ADJ
ejpam-4128	327	1	[	[	X
ejpam-4128	327	2	12	12	NUM
ejpam-4128	327	3	]	]	PUNCT
ejpam-4128	327	4	was	be	AUX
ejpam-4128	327	5	employed	employ	VERB
ejpam-4128	327	6	.	.	PUNCT
ejpam-4128	328	1	this	this	DET
ejpam-4128	328	2	performance	performance	NOUN
ejpam-4128	328	3	measure	measure	NOUN
ejpam-4128	328	4	was	be	AUX
ejpam-4128	328	5	introduced	introduce	VERB
ejpam-4128	328	6	to	to	PART
ejpam-4128	328	7	compare	compare	VERB
ejpam-4128	328	8	a	a	DET
ejpam-4128	328	9	set	set	NOUN
ejpam-4128	328	10	of	of	ADP
ejpam-4128	328	11	solvers	solver	NOUN
ejpam-4128	328	12	s	s	VERB
ejpam-4128	328	13	on	on	ADP
ejpam-4128	328	14	a	a	DET
ejpam-4128	328	15	set	set	NOUN
ejpam-4128	328	16	of	of	ADP
ejpam-4128	328	17	problems	problem	NOUN
ejpam-4128	328	18	f.	f.	PROPN
ejpam-4128	328	19	assuming	assume	VERB
ejpam-4128	328	20	ns	ns	ADJ
ejpam-4128	328	21	solvers	solver	NOUN
ejpam-4128	328	22	and	and	CCONJ
ejpam-4128	328	23	nf	nf	ADJ
ejpam-4128	328	24	problems	problem	NOUN
ejpam-4128	328	25	in	in	ADP
ejpam-4128	328	26	s	s	PRON
ejpam-4128	328	27	and	and	CCONJ
ejpam-4128	328	28	f	f	NUM
ejpam-4128	328	29	,	,	PUNCT
ejpam-4128	328	30	respectively	respectively	ADV
ejpam-4128	328	31	,	,	PUNCT
ejpam-4128	328	32	the	the	DET
ejpam-4128	328	33	measuretf	measuretf	NOUN
ejpam-4128	328	34	,	,	PUNCT
ejpam-4128	328	35	sis	sis	PROPN
ejpam-4128	328	36	defined	define	VERB
ejpam-4128	328	37	as	as	ADP
ejpam-4128	328	38	the	the	DET
ejpam-4128	328	39	number	number	NOUN
ejpam-4128	328	40	of	of	ADP
ejpam-4128	328	41	iterations	iteration	NOUN
ejpam-4128	328	42	or	or	CCONJ
ejpam-4128	328	43	the	the	DET
ejpam-4128	328	44	cpu	cpu	ADJ
ejpam-4128	328	45	time	time	NOUN
ejpam-4128	328	46	required	require	VERB
ejpam-4128	328	47	to	to	PART
ejpam-4128	328	48	solve	solve	VERB
ejpam-4128	328	49	the	the	DET
ejpam-4128	328	50	problem	problem	NOUN
ejpam-4128	328	51	f	f	PROPN
ejpam-4128	328	52	by	by	ADP
ejpam-4128	328	53	the	the	DET
ejpam-4128	328	54	solver	solver	NOUN
ejpam-4128	328	55	s.	s.	PROPN
ejpam-4128	328	56	to	to	PART
ejpam-4128	328	57	create	create	VERB
ejpam-4128	328	58	a	a	DET
ejpam-4128	328	59	baseline	baseline	NOUN
ejpam-4128	328	60	for	for	ADP
ejpam-4128	328	61	comparison	comparison	NOUN
ejpam-4128	328	62	,	,	PUNCT
ejpam-4128	328	63	the	the	DET
ejpam-4128	328	64	performance	performance	NOUN
ejpam-4128	328	65	of	of	ADP
ejpam-4128	328	66	the	the	DET
ejpam-4128	328	67	solver	solver	ADJ
ejpam-4128	328	68	son	son	NOUN
ejpam-4128	328	69	a	a	DET
ejpam-4128	328	70	problem	problem	NOUN
ejpam-4128	328	71	f	f	PROPN
ejpam-4128	328	72	is	be	AUX
ejpam-4128	328	73	scaled	scale	VERB
ejpam-4128	328	74	by	by	ADP
ejpam-4128	328	75	the	the	DET
ejpam-4128	328	76	best	good	ADJ
ejpam-4128	328	77	performance	performance	NOUN
ejpam-4128	328	78	of	of	ADP
ejpam-4128	328	79	any	any	DET
ejpam-4128	328	80	solver	solver	NOUN
ejpam-4128	328	81	in	in	ADP
ejpam-4128	328	82	s	s	PRON
ejpam-4128	328	83	on	on	ADP
ejpam-4128	328	84	the	the	DET
ejpam-4128	328	85	problem	problem	NOUN
ejpam-4128	328	86	using	use	VERB
ejpam-4128	328	87	the	the	DET
ejpam-4128	328	88	ratio	ratio	NOUN
ejpam-4128	328	89	rf	rf	NOUN
ejpam-4128	328	90	,	,	PUNCT
ejpam-4128	328	91	s	s	PART
ejpam-4128	328	92	=	=	SYM
ejpam-4128	328	93	tf	tf	PROPN
ejpam-4128	328	94	,	,	PUNCT
ejpam-4128	328	95	s	s	PART
ejpam-4128	328	96	min{tf	min{tf	NOUN
ejpam-4128	328	97	,	,	PUNCT
ejpam-4128	328	98	s	s	PART
ejpam-4128	328	99	:	:	PUNCT
ejpam-4128	328	100	s	s	AUX
ejpam-4128	328	101	∈	∈	PROPN
ejpam-4128	328	102	s	s	PART
ejpam-4128	328	103	}	}	PUNCT
ejpam-4128	328	104	.	.	PUNCT
ejpam-4128	329	1	suppose	suppose	VERB
ejpam-4128	329	2	that	that	SCONJ
ejpam-4128	329	3	a	a	DET
ejpam-4128	329	4	parameter	parameter	NOUN
ejpam-4128	329	5	rm	rm	PROPN
ejpam-4128	329	6	≥	≥	PROPN
ejpam-4128	329	7	rf	rf	PROPN
ejpam-4128	329	8	,	,	PUNCT
ejpam-4128	329	9	s	s	X
ejpam-4128	329	10	for	for	ADP
ejpam-4128	329	11	allf	allf	NOUN
ejpam-4128	329	12	,	,	PUNCT
ejpam-4128	329	13	s	s	VERB
ejpam-4128	329	14	is	be	AUX
ejpam-4128	329	15	chosen	choose	VERB
ejpam-4128	329	16	.	.	PUNCT
ejpam-4128	330	1	then	then	ADV
ejpam-4128	330	2	,	,	PUNCT
ejpam-4128	330	3	rf	rf	VERB
ejpam-4128	330	4	,	,	PUNCT
ejpam-4128	330	5	s	s	PART
ejpam-4128	330	6	=	=	NOUN
ejpam-4128	330	7	rm	rm	NOUN
ejpam-4128	330	8	if	if	SCONJ
ejpam-4128	330	9	and	and	CCONJ
ejpam-4128	330	10	only	only	ADV
ejpam-4128	330	11	if	if	SCONJ
ejpam-4128	330	12	the	the	DET
ejpam-4128	330	13	solver	solver	NOUN
ejpam-4128	330	14	s	s	X
ejpam-4128	330	15	does	do	AUX
ejpam-4128	330	16	not	not	PART
ejpam-4128	330	17	solve	solve	VERB
ejpam-4128	330	18	a	a	DET
ejpam-4128	330	19	problem	problem	NOUN
ejpam-4128	330	20	f	f	X
ejpam-4128	330	21	.	.	PUNCT
ejpam-4128	331	1	because	because	SCONJ
ejpam-4128	331	2	we	we	PRON
ejpam-4128	331	3	would	would	AUX
ejpam-4128	331	4	like	like	VERB
ejpam-4128	331	5	to	to	PART
ejpam-4128	331	6	obtain	obtain	VERB
ejpam-4128	331	7	an	an	DET
ejpam-4128	331	8	overall	overall	ADJ
ejpam-4128	331	9	assessment	assessment	NOUN
ejpam-4128	331	10	of	of	ADP
ejpam-4128	331	11	the	the	DET
ejpam-4128	331	12	performance	performance	NOUN
ejpam-4128	331	13	of	of	ADP
ejpam-4128	331	14	a	a	DET
ejpam-4128	331	15	solver	solver	NOUN
ejpam-4128	331	16	,	,	PUNCT
ejpam-4128	331	17	we	we	PRON
ejpam-4128	331	18	defined	define	VERB
ejpam-4128	331	19	the	the	DET
ejpam-4128	331	20	measure	measure	NOUN
ejpam-4128	331	21	as	as	ADP
ejpam-4128	331	22	ps(t	ps(t	ADJ
ejpam-4128	331	23	)	)	PUNCT
ejpam-4128	331	24	=	=	SYM
ejpam-4128	331	25	1	1	NUM
ejpam-4128	331	26	nf	nf	NOUN
ejpam-4128	331	27	size{f	size{f	NOUN
ejpam-4128	331	28	∈	∈	PROPN
ejpam-4128	331	29	f	f	NOUN
ejpam-4128	331	30	:	:	PUNCT
ejpam-4128	331	31	log	log	VERB
ejpam-4128	331	32	rf	rf	NOUN
ejpam-4128	331	33	,	,	PUNCT
ejpam-4128	331	34	s	s	PART
ejpam-4128	331	35	≤	≤	NUM
ejpam-4128	331	36	t	t	PROPN
ejpam-4128	331	37	}	}	PUNCT
ejpam-4128	331	38	.	.	PUNCT
ejpam-4128	332	1	thus	thus	ADV
ejpam-4128	332	2	,	,	PUNCT
ejpam-4128	332	3	ps(t	ps(t	NUM
ejpam-4128	332	4	)	)	PUNCT
ejpam-4128	332	5	is	be	AUX
ejpam-4128	332	6	the	the	DET
ejpam-4128	332	7	probability	probability	NOUN
ejpam-4128	332	8	for	for	SCONJ
ejpam-4128	332	9	a	a	DET
ejpam-4128	332	10	solver	solver	NOUN
ejpam-4128	332	11	s	s	NOUN
ejpam-4128	332	12	∈	∈	NOUN
ejpam-4128	332	13	s	s	VERB
ejpam-4128	332	14	that	that	SCONJ
ejpam-4128	332	15	the	the	DET
ejpam-4128	332	16	performance	performance	NOUN
ejpam-4128	332	17	ratio	ratio	NOUN
ejpam-4128	332	18	rf	rf	PROPN
ejpam-4128	332	19	,	,	PUNCT
ejpam-4128	332	20	s	s	PART
ejpam-4128	332	21	is	be	AUX
ejpam-4128	332	22	within	within	ADP
ejpam-4128	332	23	a	a	DET
ejpam-4128	332	24	factor	factor	NOUN
ejpam-4128	332	25	t	t	NOUN
ejpam-4128	332	26	∈	∈	NOUN
ejpam-4128	332	27	r	r	NOUN
ejpam-4128	332	28	of	of	ADP
ejpam-4128	332	29	the	the	DET
ejpam-4128	332	30	best	good	ADJ
ejpam-4128	332	31	possible	possible	ADJ
ejpam-4128	332	32	ratio	ratio	NOUN
ejpam-4128	332	33	.	.	PUNCT
ejpam-4128	333	1	suppose	suppose	VERB
ejpam-4128	333	2	we	we	PRON
ejpam-4128	333	3	define	define	VERB
ejpam-4128	333	4	the	the	DET
ejpam-4128	333	5	function	function	NOUN
ejpam-4128	333	6	psas	psas	NOUN
ejpam-4128	333	7	the	the	DET
ejpam-4128	333	8	cumulative	cumulative	ADJ
ejpam-4128	333	9	distribution	distribution	NOUN
ejpam-4128	333	10	function	function	NOUN
ejpam-4128	333	11	for	for	ADP
ejpam-4128	333	12	the	the	DET
ejpam-4128	333	13	performance	performance	NOUN
ejpam-4128	333	14	ratio	ratio	NOUN
ejpam-4128	333	15	,	,	PUNCT
ejpam-4128	333	16	then	then	ADV
ejpam-4128	333	17	the	the	DET
ejpam-4128	333	18	performance	performance	NOUN
ejpam-4128	333	19	measure	measure	NOUN
ejpam-4128	333	20	fs	fs	ADP
ejpam-4128	333	21	:	:	PUNCT
ejpam-4128	333	22	r→	r→	PROPN
ejpam-4128	334	1	[	[	X
ejpam-4128	334	2	0	0	NUM
ejpam-4128	334	3	,	,	PUNCT
ejpam-4128	334	4	1	1	NUM
ejpam-4128	334	5	]	]	PUNCT
ejpam-4128	334	6	for	for	ADP
ejpam-4128	334	7	a	a	DET
ejpam-4128	334	8	solver	solver	NOUN
ejpam-4128	334	9	is	be	AUX
ejpam-4128	334	10	non	non	ADJ
ejpam-4128	334	11	-	-	ADJ
ejpam-4128	334	12	decreasing	decrease	VERB
ejpam-4128	334	13	and	and	CCONJ
ejpam-4128	334	14	piecewise	piecewise	NOUN
ejpam-4128	334	15	continuous	continuous	ADJ
ejpam-4128	334	16	from	from	ADP
ejpam-4128	334	17	the	the	DET
ejpam-4128	334	18	right	right	NOUN
ejpam-4128	334	19	.	.	PUNCT
ejpam-4128	335	1	thus	thus	ADV
ejpam-4128	335	2	,	,	PUNCT
ejpam-4128	335	3	the	the	DET
ejpam-4128	335	4	value	value	NOUN
ejpam-4128	335	5	fs(1	fs(1	PROPN
ejpam-4128	335	6	)	)	PUNCT
ejpam-4128	335	7	is	be	AUX
ejpam-4128	335	8	the	the	DET
ejpam-4128	335	9	probability	probability	NOUN
ejpam-4128	335	10	that	that	SCONJ
ejpam-4128	335	11	the	the	DET
ejpam-4128	335	12	solver	solver	NOUN
ejpam-4128	335	13	has	have	AUX
ejpam-4128	335	14	the	the	DET
ejpam-4128	335	15	best	good	ADJ
ejpam-4128	335	16	performance	performance	NOUN
ejpam-4128	335	17	of	of	ADP
ejpam-4128	335	18	all	all	DET
ejpam-4128	335	19	the	the	DET
ejpam-4128	335	20	solvers	solver	NOUN
ejpam-4128	335	21	.	.	PUNCT
ejpam-4128	336	1	in	in	ADP
ejpam-4128	336	2	general	general	ADJ
ejpam-4128	336	3	,	,	PUNCT
ejpam-4128	336	4	a	a	DET
ejpam-4128	336	5	solver	solver	NOUN
ejpam-4128	336	6	with	with	ADP
ejpam-4128	336	7	high	high	ADJ
ejpam-4128	336	8	values	value	NOUN
ejpam-4128	336	9	of	of	ADP
ejpam-4128	336	10	f(t	f(t	PROPN
ejpam-4128	336	11	)	)	PUNCT
ejpam-4128	336	12	,	,	PUNCT
ejpam-4128	336	13	which	which	PRON
ejpam-4128	336	14	would	would	AUX
ejpam-4128	336	15	appear	appear	VERB
ejpam-4128	336	16	in	in	ADP
ejpam-4128	336	17	the	the	DET
ejpam-4128	336	18	upper	upper	ADJ
ejpam-4128	336	19	right	right	ADJ
ejpam-4128	336	20	corner	corner	NOUN
ejpam-4128	336	21	of	of	ADP
ejpam-4128	336	22	the	the	DET
ejpam-4128	336	23	figure	figure	NOUN
ejpam-4128	336	24	,	,	PUNCT
ejpam-4128	336	25	is	be	AUX
ejpam-4128	336	26	preferable	preferable	ADJ
ejpam-4128	336	27	.	.	PUNCT
ejpam-4128	337	1	5.1	5.1	NUM
ejpam-4128	337	2	.	.	PUNCT
ejpam-4128	337	3	result	result	VERB
ejpam-4128	337	4	analysis	analysis	NOUN
ejpam-4128	337	5	in	in	ADP
ejpam-4128	337	6	appendix	appendix	NOUN
ejpam-4128	337	7	1	1	NUM
ejpam-4128	337	8	,	,	PUNCT
ejpam-4128	337	9	the	the	DET
ejpam-4128	337	10	following	follow	VERB
ejpam-4128	337	11	big	big	ADJ
ejpam-4128	337	12	notations	notation	NOUN
ejpam-4128	337	13	denote	denote	VERB
ejpam-4128	337	14	:	:	PUNCT
ejpam-4128	337	15	a	a	DET
ejpam-4128	337	16	:	:	PUNCT
ejpam-4128	337	17	number	number	NOUN
ejpam-4128	337	18	of	of	ADP
ejpam-4128	337	19	iterations	iteration	NOUN
ejpam-4128	337	20	.	.	PUNCT
ejpam-4128	338	1	b	b	X
ejpam-4128	338	2	:	:	PUNCT
ejpam-4128	338	3	number	number	NOUN
ejpam-4128	338	4	of	of	ADP
ejpam-4128	338	5	function	function	NOUN
ejpam-4128	338	6	evaluations	evaluation	NOUN
ejpam-4128	338	7	.	.	PUNCT
ejpam-4128	339	1	c	c	X
ejpam-4128	339	2	:	:	PUNCT
ejpam-4128	339	3	number	number	NOUN
ejpam-4128	339	4	of	of	ADP
ejpam-4128	339	5	gradient	gradient	NOUN
ejpam-4128	339	6	evaluations	evaluation	NOUN
ejpam-4128	339	7	.	.	PUNCT
ejpam-4128	340	1	d	d	X
ejpam-4128	340	2	:	:	PUNCT
ejpam-4128	340	3	cpu	cpu	NOUN
ejpam-4128	340	4	time	time	NOUN
ejpam-4128	340	5	.	.	PUNCT
ejpam-4128	341	1	figure	figure	NOUN
ejpam-4128	341	2	1	1	NUM
ejpam-4128	341	3	shows	show	VERB
ejpam-4128	341	4	that	that	SCONJ
ejpam-4128	341	5	cg	cg	NOUN
ejpam-4128	341	6	-	-	PUNCT
ejpam-4128	341	7	descent	descent	NOUN
ejpam-4128	341	8	outperforms	outperform	NOUN
ejpam-4128	341	9	dl+	dl+	VERB
ejpam-4128	341	10	in	in	ADP
ejpam-4128	341	11	terms	term	NOUN
ejpam-4128	341	12	of	of	ADP
ejpam-4128	341	13	the	the	DET
ejpam-4128	341	14	number	number	NOUN
ejpam-4128	341	15	of	of	ADP
ejpam-4128	341	16	iterations	iteration	NOUN
ejpam-4128	341	17	.	.	PUNCT
ejpam-4128	342	1	on	on	ADP
ejpam-4128	342	2	the	the	DET
ejpam-4128	342	3	other	other	ADJ
ejpam-4128	342	4	hand	hand	NOUN
ejpam-4128	342	5	,	,	PUNCT
ejpam-4128	342	6	ftcgls	ftcgls	VERB
ejpam-4128	342	7	and	and	CCONJ
ejpam-4128	342	8	ftcghs	ftcgh	VERB
ejpam-4128	342	9	outperform	outperform	VERB
ejpam-4128	342	10	cg	cg	NOUN
ejpam-4128	342	11	-	-	PUNCT
ejpam-4128	342	12	descent	descent	NOUN
ejpam-4128	342	13	and	and	CCONJ
ejpam-4128	342	14	dl+	dl+	PROPN
ejpam-4128	342	15	.	.	PUNCT
ejpam-4128	343	1	thus	thus	ADV
ejpam-4128	343	2	,	,	PUNCT
ejpam-4128	343	3	s.	s.	PROPN
ejpam-4128	343	4	ismail	ismail	PROPN
ejpam-4128	343	5	et	et	PROPN
ejpam-4128	343	6	al	al	PROPN
ejpam-4128	343	7	.	.	PUNCT
ejpam-4128	343	8	/	/	SYM
ejpam-4128	343	9	eur	eur	PROPN
ejpam-4128	343	10	.	.	PUNCT
ejpam-4128	344	1	j.	j.	PROPN
ejpam-4128	344	2	pure	pure	PROPN
ejpam-4128	344	3	appl	appl	PROPN
ejpam-4128	344	4	.	.	PROPN
ejpam-4128	344	5	math	math	PROPN
ejpam-4128	344	6	,	,	PUNCT
ejpam-4128	344	7	14	14	NUM
ejpam-4128	344	8	(	(	PUNCT
ejpam-4128	344	9	4	4	NUM
ejpam-4128	344	10	)	)	PUNCT
ejpam-4128	344	11	(	(	PUNCT
ejpam-4128	344	12	2021	2021	NUM
ejpam-4128	344	13	)	)	PUNCT
ejpam-4128	344	14	,	,	PUNCT
ejpam-4128	344	15	1429	1429	NUM
ejpam-4128	344	16	-	-	SYM
ejpam-4128	344	17	1456	1456	NUM
ejpam-4128	344	18	1445	1445	NUM
ejpam-4128	344	19	we	we	PRON
ejpam-4128	344	20	can	can	AUX
ejpam-4128	344	21	conclude	conclude	VERB
ejpam-4128	344	22	that	that	SCONJ
ejpam-4128	344	23	using	use	VERB
ejpam-4128	344	24	the	the	DET
ejpam-4128	344	25	four	four	NUM
ejpam-4128	344	26	-	-	PUNCT
ejpam-4128	344	27	term	term	NOUN
ejpam-4128	344	28	cg	cg	NOUN
ejpam-4128	344	29	method	method	NOUN
ejpam-4128	344	30	is	be	AUX
ejpam-4128	344	31	better	well	ADJ
ejpam-4128	344	32	than	than	ADP
ejpam-4128	344	33	using	use	VERB
ejpam-4128	344	34	three	three	NUM
ejpam-4128	344	35	-	-	PUNCT
ejpam-4128	344	36	term	term	NOUN
ejpam-4128	344	37	cg	cg	NOUN
ejpam-4128	344	38	methods	method	NOUN
ejpam-4128	344	39	.	.	PUNCT
ejpam-4128	345	1	in	in	ADP
ejpam-4128	345	2	addition	addition	NOUN
ejpam-4128	345	3	,	,	PUNCT
ejpam-4128	345	4	we	we	PRON
ejpam-4128	345	5	can	can	AUX
ejpam-4128	345	6	note	note	VERB
ejpam-4128	345	7	that	that	PRON
ejpam-4128	345	8	ftcgls	ftcgls	ADJ
ejpam-4128	345	9	slightly	slightly	ADV
ejpam-4128	345	10	outperforms	outperform	NOUN
ejpam-4128	345	11	ftcghs	ftcgh	NOUN
ejpam-4128	345	12	in	in	ADP
ejpam-4128	345	13	the	the	DET
ejpam-4128	345	14	number	number	NOUN
ejpam-4128	345	15	of	of	ADP
ejpam-4128	345	16	iteration	iteration	NOUN
ejpam-4128	345	17	.	.	PUNCT
ejpam-4128	346	1	from	from	ADP
ejpam-4128	346	2	figure	figure	NOUN
ejpam-4128	346	3	2	2	NUM
ejpam-4128	346	4	,	,	PUNCT
ejpam-4128	346	5	we	we	PRON
ejpam-4128	346	6	can	can	AUX
ejpam-4128	346	7	note	note	VERB
ejpam-4128	346	8	that	that	DET
ejpam-4128	346	9	ftcgls	ftcgls	NOUN
ejpam-4128	346	10	strongly	strongly	ADV
ejpam-4128	346	11	outperforms	outperform	VERB
ejpam-4128	346	12	all	all	DET
ejpam-4128	346	13	methods	method	NOUN
ejpam-4128	346	14	in	in	ADP
ejpam-4128	346	15	terms	term	NOUN
ejpam-4128	346	16	of	of	ADP
ejpam-4128	346	17	the	the	DET
ejpam-4128	346	18	number	number	NOUN
ejpam-4128	346	19	of	of	ADP
ejpam-4128	346	20	function	function	NOUN
ejpam-4128	346	21	evaluations	evaluation	NOUN
ejpam-4128	346	22	.	.	PUNCT
ejpam-4128	347	1	thus	thus	ADV
ejpam-4128	347	2	,	,	PUNCT
ejpam-4128	347	3	we	we	PRON
ejpam-4128	347	4	conclude	conclude	VERB
ejpam-4128	347	5	that	that	SCONJ
ejpam-4128	347	6	using	use	VERB
ejpam-4128	347	7	extended	extended	ADJ
ejpam-4128	347	8	swp	swp	NOUN
ejpam-4128	347	9	line	line	NOUN
ejpam-4128	347	10	search	search	NOUN
ejpam-4128	347	11	is	be	AUX
ejpam-4128	347	12	better	well	ADJ
ejpam-4128	347	13	than	than	ADP
ejpam-4128	347	14	using	use	VERB
ejpam-4128	347	15	swp	swp	PROPN
ejpam-4128	347	16	line	line	NOUN
ejpam-4128	347	17	search	search	NOUN
ejpam-4128	347	18	.	.	PUNCT
ejpam-4128	348	1	figure	figure	NOUN
ejpam-4128	348	2	3	3	NUM
ejpam-4128	348	3	shows	show	VERB
ejpam-4128	348	4	that	that	PRON
ejpam-4128	348	5	ftcgls	ftcgls	VERB
ejpam-4128	348	6	outperform	outperform	ADJ
ejpam-4128	348	7	ftcghs	ftcgh	NOUN
ejpam-4128	348	8	,	,	PUNCT
ejpam-4128	348	9	dl+	dl+	PROPN
ejpam-4128	348	10	,	,	PUNCT
ejpam-4128	348	11	and	and	CCONJ
ejpam-4128	348	12	cg	cg	NOUN
ejpam-4128	348	13	-	-	PUNCT
ejpam-4128	348	14	descent	descent	NOUN
ejpam-4128	348	15	in	in	ADP
ejpam-4128	348	16	terms	term	NOUN
ejpam-4128	348	17	of	of	ADP
ejpam-4128	348	18	cpu	cpu	NOUN
ejpam-4128	348	19	time	time	NOUN
ejpam-4128	348	20	.	.	PUNCT
ejpam-4128	349	1	from	from	ADP
ejpam-4128	349	2	all	all	DET
ejpam-4128	349	3	figures	figure	NOUN
ejpam-4128	349	4	,	,	PUNCT
ejpam-4128	349	5	we	we	PRON
ejpam-4128	349	6	can	can	AUX
ejpam-4128	349	7	note	note	VERB
ejpam-4128	349	8	that	that	SCONJ
ejpam-4128	349	9	using	use	VERB
ejpam-4128	349	10	four	four	NUM
ejpam-4128	349	11	-	-	PUNCT
ejpam-4128	349	12	term	term	NOUN
ejpam-4128	349	13	is	be	AUX
ejpam-4128	349	14	better	well	ADJ
ejpam-4128	349	15	than	than	ADP
ejpam-4128	349	16	using	use	VERB
ejpam-4128	349	17	three	three	NUM
ejpam-4128	349	18	-	-	PUNCT
ejpam-4128	349	19	terms	term	NOUN
ejpam-4128	349	20	.	.	PUNCT
ejpam-4128	350	1	moreover	moreover	ADV
ejpam-4128	350	2	,	,	PUNCT
ejpam-4128	350	3	using	use	VERB
ejpam-4128	350	4	an	an	DET
ejpam-4128	350	5	extended	extended	ADJ
ejpam-4128	350	6	swp	swp	NOUN
ejpam-4128	350	7	line	line	NOUN
ejpam-4128	350	8	search	search	NOUN
ejpam-4128	350	9	is	be	AUX
ejpam-4128	350	10	better	well	ADJ
ejpam-4128	350	11	than	than	ADP
ejpam-4128	350	12	using	use	VERB
ejpam-4128	350	13	the	the	DET
ejpam-4128	350	14	original	original	ADJ
ejpam-4128	350	15	swp	swp	NOUN
ejpam-4128	350	16	line	line	NOUN
ejpam-4128	350	17	search	search	NOUN
ejpam-4128	350	18	since	since	SCONJ
ejpam-4128	350	19	the	the	DET
ejpam-4128	350	20	latter	latter	ADJ
ejpam-4128	350	21	reduces	reduce	VERB
ejpam-4128	350	22	the	the	DET
ejpam-4128	350	23	number	number	NOUN
ejpam-4128	350	24	of	of	ADP
ejpam-4128	350	25	function	function	NOUN
ejpam-4128	350	26	evaluations	evaluation	NOUN
ejpam-4128	350	27	.	.	PUNCT
ejpam-4128	351	1	finally	finally	ADV
ejpam-4128	351	2	,	,	PUNCT
ejpam-4128	351	3	we	we	PRON
ejpam-4128	351	4	can	can	AUX
ejpam-4128	351	5	conclude	conclude	VERB
ejpam-4128	351	6	that	that	DET
ejpam-4128	351	7	ftcgls	ftcgls	NOUN
ejpam-4128	351	8	is	be	AUX
ejpam-4128	351	9	better	well	ADJ
ejpam-4128	351	10	than	than	ADP
ejpam-4128	351	11	ftcghs	ftcgh	NOUN
ejpam-4128	351	12	,	,	PUNCT
ejpam-4128	351	13	cg	cg	NOUN
ejpam-4128	351	14	-	-	PUNCT
ejpam-4128	351	15	descent	descent	NOUN
ejpam-4128	351	16	,	,	PUNCT
ejpam-4128	351	17	and	and	CCONJ
ejpam-4128	351	18	dl+	dl+	NOUN
ejpam-4128	351	19	in	in	ADP
ejpam-4128	351	20	terms	term	NOUN
ejpam-4128	351	21	of	of	ADP
ejpam-4128	351	22	efficiency	efficiency	NOUN
ejpam-4128	351	23	.	.	PUNCT
ejpam-4128	352	1	figure	figure	VERB
ejpam-4128	352	2	1	1	NUM
ejpam-4128	352	3	:	:	PUNCT
ejpam-4128	352	4	performance	performance	NOUN
ejpam-4128	352	5	measure	measure	NOUN
ejpam-4128	352	6	based	base	VERB
ejpam-4128	352	7	on	on	ADP
ejpam-4128	352	8	the	the	DET
ejpam-4128	352	9	number	number	NOUN
ejpam-4128	352	10	of	of	ADP
ejpam-4128	352	11	iterations	iteration	NOUN
ejpam-4128	352	12	.	.	PUNCT
ejpam-4128	353	1	s.	s.	PROPN
ejpam-4128	353	2	ismail	ismail	PROPN
ejpam-4128	353	3	et	et	PROPN
ejpam-4128	353	4	al	al	PROPN
ejpam-4128	353	5	.	.	PUNCT
ejpam-4128	353	6	/	/	SYM
ejpam-4128	353	7	eur	eur	PROPN
ejpam-4128	353	8	.	.	PUNCT
ejpam-4128	354	1	j.	j.	PROPN
ejpam-4128	354	2	pure	pure	PROPN
ejpam-4128	354	3	appl	appl	PROPN
ejpam-4128	354	4	.	.	PROPN
ejpam-4128	354	5	math	math	PROPN
ejpam-4128	354	6	,	,	PUNCT
ejpam-4128	354	7	14	14	NUM
ejpam-4128	354	8	(	(	PUNCT
ejpam-4128	354	9	4	4	NUM
ejpam-4128	354	10	)	)	PUNCT
ejpam-4128	354	11	(	(	PUNCT
ejpam-4128	354	12	2021	2021	NUM
ejpam-4128	354	13	)	)	PUNCT
ejpam-4128	354	14	,	,	PUNCT
ejpam-4128	354	15	1429	1429	NUM
ejpam-4128	354	16	-	-	SYM
ejpam-4128	354	17	1456	1456	NUM
ejpam-4128	354	18	1446	1446	NUM
ejpam-4128	354	19	figure	figure	NOUN
ejpam-4128	354	20	2	2	NUM
ejpam-4128	354	21	:	:	PUNCT
ejpam-4128	354	22	performance	performance	NOUN
ejpam-4128	354	23	measure	measure	NOUN
ejpam-4128	354	24	based	base	VERB
ejpam-4128	354	25	on	on	ADP
ejpam-4128	354	26	the	the	DET
ejpam-4128	354	27	function	function	NOUN
ejpam-4128	354	28	evaluation	evaluation	NOUN
ejpam-4128	354	29	.	.	PUNCT
ejpam-4128	355	1	figure	figure	VERB
ejpam-4128	355	2	3	3	NUM
ejpam-4128	355	3	:	:	PUNCT
ejpam-4128	355	4	performance	performance	NOUN
ejpam-4128	355	5	measure	measure	NOUN
ejpam-4128	355	6	based	base	VERB
ejpam-4128	355	7	on	on	ADP
ejpam-4128	355	8	the	the	DET
ejpam-4128	355	9	cpu	cpu	NOUN
ejpam-4128	355	10	time	time	NOUN
ejpam-4128	355	11	.	.	PUNCT
ejpam-4128	356	1	figure	figure	VERB
ejpam-4128	356	2	4	4	NUM
ejpam-4128	356	3	presents	present	VERB
ejpam-4128	356	4	the	the	DET
ejpam-4128	356	5	diagonal	diagonal	ADJ
ejpam-4128	356	6	4	4	NUM
ejpam-4128	356	7	function	function	NOUN
ejpam-4128	356	8	in	in	ADP
ejpam-4128	356	9	3d	3d	NUM
ejpam-4128	356	10	.	.	PUNCT
ejpam-4128	357	1	this	this	DET
ejpam-4128	357	2	function	function	NOUN
ejpam-4128	357	3	has	have	VERB
ejpam-4128	357	4	a	a	DET
ejpam-4128	357	5	long	long	ADJ
ejpam-4128	357	6	narrow	narrow	ADJ
ejpam-4128	357	7	valley	valley	NOUN
ejpam-4128	357	8	with	with	ADP
ejpam-4128	357	9	steep	steep	ADJ
ejpam-4128	357	10	walls	wall	NOUN
ejpam-4128	357	11	on	on	ADP
ejpam-4128	357	12	both	both	DET
ejpam-4128	357	13	sides	side	NOUN
ejpam-4128	357	14	.	.	PUNCT
ejpam-4128	358	1	note	note	VERB
ejpam-4128	358	2	that	that	SCONJ
ejpam-4128	358	3	with	with	ADP
ejpam-4128	358	4	dimension	dimension	NOUN
ejpam-4128	358	5	2	2	NUM
ejpam-4128	358	6	,	,	PUNCT
ejpam-4128	358	7	the	the	DET
ejpam-4128	358	8	minimum	minimum	NOUN
ejpam-4128	358	9	is	be	AUX
ejpam-4128	358	10	x∗	x∗	PROPN
ejpam-4128	358	11	=	=	SYM
ejpam-4128	358	12	(	(	PUNCT
ejpam-4128	358	13	0	0	NUM
ejpam-4128	358	14	,	,	PUNCT
ejpam-4128	358	15	0	0	NUM
ejpam-4128	358	16	)	)	PUNCT
ejpam-4128	358	17	,	,	PUNCT
ejpam-4128	358	18	while	while	SCONJ
ejpam-4128	358	19	the	the	DET
ejpam-4128	358	20	function	function	NOUN
ejpam-4128	358	21	value	value	NOUN
ejpam-4128	358	22	is	be	AUX
ejpam-4128	358	23	f(x∗	f(x∗	NOUN
ejpam-4128	358	24	)	)	PUNCT
ejpam-4128	359	1	=	=	SYM
ejpam-4128	359	2	0	0	X
ejpam-4128	359	3	.	.	PUNCT
ejpam-4128	360	1	references	reference	NOUN
ejpam-4128	360	2	1447	1447	NUM
ejpam-4128	360	3	figure	figure	NOUN
ejpam-4128	360	4	4	4	NUM
ejpam-4128	360	5	:	:	PUNCT
ejpam-4128	360	6	diagonal	diagonal	ADJ
ejpam-4128	360	7	4	4	NUM
ejpam-4128	360	8	function	function	NOUN
ejpam-4128	360	9	in	in	ADP
ejpam-4128	360	10	3d	3d	NUM
ejpam-4128	360	11	.	.	PUNCT
ejpam-4128	361	1	6	6	NUM
ejpam-4128	361	2	.	.	X
ejpam-4128	361	3	conclusion	conclusion	NOUN
ejpam-4128	361	4	in	in	ADP
ejpam-4128	361	5	this	this	DET
ejpam-4128	361	6	paper	paper	NOUN
ejpam-4128	361	7	,	,	PUNCT
ejpam-4128	361	8	we	we	PRON
ejpam-4128	361	9	propose	propose	VERB
ejpam-4128	361	10	a	a	DET
ejpam-4128	361	11	new	new	ADJ
ejpam-4128	361	12	four	four	NUM
ejpam-4128	361	13	-	-	PUNCT
ejpam-4128	361	14	term	term	NOUN
ejpam-4128	361	15	cg	cg	NOUN
ejpam-4128	361	16	method	method	NOUN
ejpam-4128	361	17	based	base	VERB
ejpam-4128	361	18	on	on	ADP
ejpam-4128	361	19	the	the	DET
ejpam-4128	361	20	ls	ls	PROPN
ejpam-4128	361	21	cg	cg	NOUN
ejpam-4128	361	22	method	method	NOUN
ejpam-4128	361	23	.	.	PUNCT
ejpam-4128	362	1	the	the	DET
ejpam-4128	362	2	new	new	ADJ
ejpam-4128	362	3	search	search	NOUN
ejpam-4128	362	4	direction	direction	NOUN
ejpam-4128	362	5	satisfies	satisfy	VERB
ejpam-4128	362	6	the	the	DET
ejpam-4128	362	7	following	follow	VERB
ejpam-4128	362	8	properties	property	NOUN
ejpam-4128	362	9	:	:	PUNCT
ejpam-4128	362	10	(	(	PUNCT
ejpam-4128	362	11	i	i	NOUN
ejpam-4128	362	12	)	)	PUNCT
ejpam-4128	362	13	equation	equation	NOUN
ejpam-4128	362	14	(	(	PUNCT
ejpam-4128	362	15	10	10	NUM
ejpam-4128	362	16	)	)	PUNCT
ejpam-4128	362	17	satisfies	satisfy	VERB
ejpam-4128	362	18	the	the	DET
ejpam-4128	362	19	descent	descent	NOUN
ejpam-4128	362	20	property	property	NOUN
ejpam-4128	362	21	.	.	PUNCT
ejpam-4128	363	1	(	(	PUNCT
ejpam-4128	363	2	ii	ii	NOUN
ejpam-4128	363	3	)	)	PUNCT
ejpam-4128	363	4	equation	equation	NOUN
ejpam-4128	363	5	(	(	PUNCT
ejpam-4128	363	6	10	10	NUM
ejpam-4128	363	7	)	)	PUNCT
ejpam-4128	363	8	satisfies	satisfy	VERB
ejpam-4128	363	9	the	the	DET
ejpam-4128	363	10	convergence	convergence	NOUN
ejpam-4128	363	11	properties	property	NOUN
ejpam-4128	363	12	,	,	PUNCT
ejpam-4128	363	13	i.e.	i.e.	X
ejpam-4128	363	14	,	,	PUNCT
ejpam-4128	363	15	the	the	DET
ejpam-4128	363	16	stationary	stationary	ADJ
ejpam-4128	363	17	point	point	NOUN
ejpam-4128	363	18	can	can	AUX
ejpam-4128	363	19	be	be	AUX
ejpam-4128	363	20	obtained	obtain	VERB
ejpam-4128	363	21	by	by	ADP
ejpam-4128	363	22	the	the	DET
ejpam-4128	363	23	cg	cg	NOUN
ejpam-4128	363	24	method	method	NOUN
ejpam-4128	363	25	with	with	ADP
ejpam-4128	363	26	equation	equation	NOUN
ejpam-4128	363	27	(	(	PUNCT
ejpam-4128	363	28	10	10	NUM
ejpam-4128	363	29	)	)	PUNCT
ejpam-4128	363	30	for	for	ADP
ejpam-4128	363	31	any	any	DET
ejpam-4128	363	32	unconstrained	unconstrained	ADJ
ejpam-4128	363	33	optimization	optimization	NOUN
ejpam-4128	363	34	function	function	NOUN
ejpam-4128	363	35	.	.	PUNCT
ejpam-4128	364	1	(	(	PUNCT
ejpam-4128	364	2	iii	iii	X
ejpam-4128	364	3	)	)	PUNCT
ejpam-4128	364	4	equation	equation	NOUN
ejpam-4128	364	5	(	(	PUNCT
ejpam-4128	364	6	10	10	NUM
ejpam-4128	364	7	)	)	PUNCT
ejpam-4128	364	8	contains	contain	VERB
ejpam-4128	364	9	a	a	DET
ejpam-4128	364	10	four	four	NUM
ejpam-4128	364	11	-	-	PUNCT
ejpam-4128	364	12	term	term	NOUN
ejpam-4128	364	13	cg	cg	NOUN
ejpam-4128	364	14	method	method	NOUN
ejpam-4128	364	15	.	.	PUNCT
ejpam-4128	365	1	(	(	PUNCT
ejpam-4128	365	2	iv	iv	X
ejpam-4128	365	3	)	)	PUNCT
ejpam-4128	365	4	equation	equation	NOUN
ejpam-4128	365	5	(	(	PUNCT
ejpam-4128	365	6	10	10	NUM
ejpam-4128	365	7	)	)	PUNCT
ejpam-4128	365	8	outperforms	outperform	VERB
ejpam-4128	365	9	cg	cg	NOUN
ejpam-4128	365	10	-	-	PUNCT
ejpam-4128	365	11	descent	descent	NOUN
ejpam-4128	365	12	,	,	PUNCT
ejpam-4128	365	13	dl+	dl+	PROPN
ejpam-4128	365	14	,	,	PUNCT
ejpam-4128	365	15	and	and	CCONJ
ejpam-4128	365	16	ftcghs	ftcgh	NOUN
ejpam-4128	365	17	in	in	ADP
ejpam-4128	365	18	the	the	DET
ejpam-4128	365	19	number	number	NOUN
ejpam-4128	365	20	of	of	ADP
ejpam-4128	365	21	iterations	iteration	NOUN
ejpam-4128	365	22	,	,	PUNCT
ejpam-4128	365	23	function	function	NOUN
ejpam-4128	365	24	evaluations	evaluation	NOUN
ejpam-4128	365	25	,	,	PUNCT
ejpam-4128	365	26	and	and	CCONJ
ejpam-4128	365	27	cpu	cpu	NOUN
ejpam-4128	365	28	time	time	NOUN
ejpam-4128	365	29	.	.	PUNCT
ejpam-4128	366	1	the	the	DET
ejpam-4128	366	2	future	future	ADJ
ejpam-4128	366	3	work	work	NOUN
ejpam-4128	366	4	will	will	AUX
ejpam-4128	366	5	focus	focus	VERB
ejpam-4128	366	6	on	on	ADP
ejpam-4128	366	7	the	the	DET
ejpam-4128	366	8	application	application	NOUN
ejpam-4128	366	9	of	of	ADP
ejpam-4128	366	10	the	the	DET
ejpam-4128	366	11	cg	cg	NOUN
ejpam-4128	366	12	methods	method	NOUN
ejpam-4128	366	13	in	in	ADP
ejpam-4128	366	14	many	many	ADJ
ejpam-4128	366	15	fields	field	NOUN
ejpam-4128	366	16	such	such	ADJ
ejpam-4128	366	17	as	as	ADP
ejpam-4128	366	18	machine	machine	NOUN
ejpam-4128	366	19	learning	learning	NOUN
ejpam-4128	366	20	,	,	PUNCT
ejpam-4128	366	21	deep	deep	ADJ
ejpam-4128	366	22	learning	learning	NOUN
ejpam-4128	366	23	,	,	PUNCT
ejpam-4128	366	24	and	and	CCONJ
ejpam-4128	366	25	regression	regression	NOUN
ejpam-4128	366	26	problems	problem	NOUN
ejpam-4128	366	27	.	.	PUNCT
ejpam-4128	367	1	acknowledgements	acknowledgement	NOUN
ejpam-4128	367	2	the	the	DET
ejpam-4128	367	3	authors	author	NOUN
ejpam-4128	367	4	would	would	AUX
ejpam-4128	367	5	like	like	VERB
ejpam-4128	367	6	to	to	PART
ejpam-4128	367	7	thank	thank	VERB
ejpam-4128	367	8	the	the	DET
ejpam-4128	367	9	reviewers	reviewer	NOUN
ejpam-4128	367	10	and	and	CCONJ
ejpam-4128	367	11	editor	editor	NOUN
ejpam-4128	367	12	for	for	ADP
ejpam-4128	367	13	the	the	DET
ejpam-4128	367	14	comments	comment	NOUN
ejpam-4128	367	15	that	that	PRON
ejpam-4128	367	16	highly	highly	ADV
ejpam-4128	367	17	improved	improve	VERB
ejpam-4128	367	18	this	this	DET
ejpam-4128	367	19	paper	paper	NOUN
ejpam-4128	367	20	.	.	PUNCT
ejpam-4128	368	1	also	also	ADV
ejpam-4128	368	2	,	,	PUNCT
ejpam-4128	368	3	we	we	PRON
ejpam-4128	368	4	would	would	AUX
ejpam-4128	368	5	like	like	VERB
ejpam-4128	368	6	to	to	PART
ejpam-4128	368	7	thank	thank	VERB
ejpam-4128	368	8	the	the	DET
ejpam-4128	368	9	university	university	NOUN
ejpam-4128	368	10	sains	sain	NOUN
ejpam-4128	368	11	islam	islam	PROPN
ejpam-4128	368	12	malaysia	malaysia	PROPN
ejpam-4128	368	13	(	(	PUNCT
ejpam-4128	368	14	usim	usim	PROPN
ejpam-4128	368	15	)	)	PUNCT
ejpam-4128	368	16	for	for	ADP
ejpam-4128	368	17	the	the	DET
ejpam-4128	368	18	support	support	NOUN
ejpam-4128	368	19	of	of	ADP
ejpam-4128	368	20	this	this	DET
ejpam-4128	368	21	paper	paper	NOUN
ejpam-4128	368	22	via	via	ADP
ejpam-4128	368	23	grant	grant	PROPN
ejpam-4128	368	24	p1	p1	PROPN
ejpam-4128	368	25	-	-	PUNCT
ejpam-4128	368	26	18	18	NUM
ejpam-4128	368	27	-	-	PUNCT
ejpam-4128	368	28	12220	12220	NUM
ejpam-4128	368	29	-	-	PUNCT
ejpam-4128	368	30	uni	uni	ADJ
ejpam-4128	368	31	-	-	PUNCT
ejpam-4128	368	32	rcr	rcr	NOUN
ejpam-4128	368	33	-	-	PUNCT
ejpam-4128	368	34	fst	fst	NOUN
ejpam-4128	368	35	.	.	PUNCT
ejpam-4128	369	1	finally	finally	ADV
ejpam-4128	369	2	,	,	PUNCT
ejpam-4128	369	3	the	the	DET
ejpam-4128	369	4	authors	author	NOUN
ejpam-4128	369	5	would	would	AUX
ejpam-4128	369	6	like	like	VERB
ejpam-4128	369	7	to	to	PART
ejpam-4128	369	8	thank	thank	VERB
ejpam-4128	369	9	prof	prof	PROPN
ejpam-4128	369	10	.	.	PUNCT
ejpam-4128	370	1	dr	dr	PROPN
ejpam-4128	370	2	.	.	PROPN
ejpam-4128	370	3	william	william	PROPN
ejpam-4128	370	4	hager	hager	PROPN
ejpam-4128	370	5	for	for	ADP
ejpam-4128	370	6	publishing	publish	VERB
ejpam-4128	370	7	the	the	DET
ejpam-4128	370	8	code	code	NOUN
ejpam-4128	370	9	of	of	ADP
ejpam-4128	370	10	cg	cg	NOUN
ejpam-4128	370	11	-	-	PUNCT
ejpam-4128	370	12	descent	descent	NOUN
ejpam-4128	370	13	.	.	PUNCT
ejpam-4128	371	1	references	reference	NOUN
ejpam-4128	371	2	[	[	X
ejpam-4128	371	3	1	1	NUM
ejpam-4128	371	4	]	]	PUNCT
ejpam-4128	371	5	i.	i.	PROPN
ejpam-4128	371	6	masmali	masmali	PROPN
ejpam-4128	371	7	a.	a.	PROPN
ejpam-4128	371	8	alhawarat	alhawarat	PROPN
ejpam-4128	371	9	,	,	PUNCT
ejpam-4128	371	10	g.	g.	PROPN
ejpam-4128	371	11	alhamzi	alhamzi	PROPN
ejpam-4128	371	12	and	and	CCONJ
ejpam-4128	371	13	z.	z.	PROPN
ejpam-4128	371	14	salleh	salleh	PROPN
ejpam-4128	371	15	.	.	PUNCT
ejpam-4128	372	1	a	a	DET
ejpam-4128	372	2	decent	decent	ADJ
ejpam-4128	372	3	four	four	NUM
ejpam-4128	372	4	term	term	NOUN
ejpam-4128	372	5	conjugate	conjugate	ADJ
ejpam-4128	372	6	gradient	gradient	NOUN
ejpam-4128	372	7	method	method	NOUN
ejpam-4128	372	8	with	with	ADP
ejpam-4128	372	9	global	global	ADJ
ejpam-4128	372	10	convergence	convergence	NOUN
ejpam-4128	372	11	properties	property	NOUN
ejpam-4128	372	12	for	for	ADP
ejpam-4128	372	13	large	large	ADJ
ejpam-4128	372	14	scale	scale	NOUN
ejpam-4128	372	15	unconstrained	unconstrained	ADJ
ejpam-4128	372	16	optimization	optimization	NOUN
ejpam-4128	372	17	problems	problem	NOUN
ejpam-4128	372	18	.	.	PUNCT
ejpam-4128	373	1	mathematical	mathematical	ADJ
ejpam-4128	373	2	problems	problem	NOUN
ejpam-4128	373	3	in	in	ADP
ejpam-4128	373	4	engineering	engineering	NOUN
ejpam-4128	373	5	,	,	PUNCT
ejpam-4128	373	6	2021	2021	NUM
ejpam-4128	373	7	.	.	PUNCT
ejpam-4128	374	1	[	[	X
ejpam-4128	374	2	2	2	NUM
ejpam-4128	374	3	]	]	PUNCT
ejpam-4128	374	4	m.	m.	NOUN
ejpam-4128	374	5	mamat	mamat	PROPN
ejpam-4128	374	6	a.	a.	PROPN
ejpam-4128	374	7	alhawarat	alhawarat	PROPN
ejpam-4128	374	8	,	,	PUNCT
ejpam-4128	374	9	z.	z.	PROPN
ejpam-4128	374	10	salleh	salleh	PROPN
ejpam-4128	374	11	and	and	CCONJ
ejpam-4128	374	12	m.	m.	PROPN
ejpam-4128	374	13	rivaie	rivaie	PROPN
ejpam-4128	374	14	.	.	PUNCT
ejpam-4128	375	1	an	an	DET
ejpam-4128	375	2	efficient	efficient	ADJ
ejpam-4128	375	3	modified	modify	VERB
ejpam-4128	375	4	polak	polak	NOUN
ejpam-4128	375	5	–	–	PUNCT
ejpam-4128	375	6	ribière	ribière	NOUN
ejpam-4128	375	7	–	–	PUNCT
ejpam-4128	375	8	polyak	polyak	NOUN
ejpam-4128	375	9	conjugate	conjugate	ADJ
ejpam-4128	375	10	gradient	gradient	NOUN
ejpam-4128	375	11	method	method	NOUN
ejpam-4128	375	12	with	with	ADP
ejpam-4128	375	13	global	global	ADJ
ejpam-4128	375	14	convergence	convergence	NOUN
ejpam-4128	375	15	properties	property	NOUN
ejpam-4128	375	16	.	.	PUNCT
ejpam-4128	376	1	optimization	optimization	NOUN
ejpam-4128	376	2	methods	method	NOUN
ejpam-4128	376	3	and	and	CCONJ
ejpam-4128	376	4	software	software	NOUN
ejpam-4128	376	5	,	,	PUNCT
ejpam-4128	376	6	32(6):1299–1312	32(6):1299–1312	NUM
ejpam-4128	376	7	,	,	PUNCT
ejpam-4128	376	8	2017	2017	NUM
ejpam-4128	376	9	.	.	PUNCT
ejpam-4128	377	1	references	reference	NOUN
ejpam-4128	377	2	1448	1448	NUM
ejpam-4128	377	3	[	[	X
ejpam-4128	377	4	3	3	NUM
ejpam-4128	377	5	]	]	PUNCT
ejpam-4128	377	6	z.	z.	PROPN
ejpam-4128	377	7	salleh	salleh	PROPN
ejpam-4128	377	8	a.	a.	PROPN
ejpam-4128	377	9	alhawarat	alhawarat	PROPN
ejpam-4128	377	10	and	and	CCONJ
ejpam-4128	377	11	i.	i.	PROPN
ejpam-4128	377	12	a.	a.	PROPN
ejpam-4128	377	13	masmali	masmali	PROPN
ejpam-4128	377	14	.	.	PUNCT
ejpam-4128	378	1	a	a	DET
ejpam-4128	378	2	convex	convex	ADJ
ejpam-4128	378	3	combination	combination	NOUN
ejpam-4128	378	4	between	between	ADP
ejpam-4128	378	5	two	two	NUM
ejpam-4128	378	6	different	different	ADJ
ejpam-4128	378	7	search	search	NOUN
ejpam-4128	378	8	directions	direction	NOUN
ejpam-4128	378	9	of	of	ADP
ejpam-4128	378	10	conjugate	conjugate	ADJ
ejpam-4128	378	11	gradient	gradient	NOUN
ejpam-4128	378	12	method	method	NOUN
ejpam-4128	378	13	and	and	CCONJ
ejpam-4128	378	14	application	application	NOUN
ejpam-4128	378	15	in	in	ADP
ejpam-4128	378	16	image	image	NOUN
ejpam-4128	378	17	restoration	restoration	NOUN
ejpam-4128	378	18	.	.	PUNCT
ejpam-4128	379	1	mathematical	mathematical	ADJ
ejpam-4128	379	2	problems	problem	NOUN
ejpam-4128	379	3	in	in	ADP
ejpam-4128	379	4	engineering	engineering	NOUN
ejpam-4128	379	5	,	,	PUNCT
ejpam-4128	379	6	2021	2021	NUM
ejpam-4128	379	7	.	.	PUNCT
ejpam-4128	380	1	[	[	X
ejpam-4128	380	2	4	4	X
ejpam-4128	380	3	]	]	PUNCT
ejpam-4128	380	4	z.	z.	PROPN
ejpam-4128	380	5	salleh	salleh	PROPN
ejpam-4128	380	6	a.	a.	PROPN
ejpam-4128	380	7	alhawarat	alhawarat	PROPN
ejpam-4128	380	8	and	and	CCONJ
ejpam-4128	380	9	i.	i.	PROPN
ejpam-4128	380	10	a.	a.	PROPN
ejpam-4128	380	11	masmali	masmali	PROPN
ejpam-4128	380	12	.	.	PUNCT
ejpam-4128	381	1	a	a	DET
ejpam-4128	381	2	convex	convex	ADJ
ejpam-4128	381	3	combination	combination	NOUN
ejpam-4128	381	4	between	between	ADP
ejpam-4128	381	5	two	two	NUM
ejpam-4128	381	6	different	different	ADJ
ejpam-4128	381	7	search	search	NOUN
ejpam-4128	381	8	directions	direction	NOUN
ejpam-4128	381	9	of	of	ADP
ejpam-4128	381	10	conjugate	conjugate	ADJ
ejpam-4128	381	11	gradient	gradient	NOUN
ejpam-4128	381	12	method	method	NOUN
ejpam-4128	381	13	and	and	CCONJ
ejpam-4128	381	14	application	application	NOUN
ejpam-4128	381	15	in	in	ADP
ejpam-4128	381	16	image	image	NOUN
ejpam-4128	381	17	restoration	restoration	NOUN
ejpam-4128	381	18	.	.	PUNCT
ejpam-4128	382	1	mathematical	mathematical	ADJ
ejpam-4128	382	2	problems	problem	NOUN
ejpam-4128	382	3	in	in	ADP
ejpam-4128	382	4	engineering	engineering	NOUN
ejpam-4128	382	5	,	,	PUNCT
ejpam-4128	382	6	2021	2021	NUM
ejpam-4128	382	7	.	.	PUNCT
ejpam-4128	383	1	[	[	X
ejpam-4128	383	2	5	5	X
ejpam-4128	383	3	]	]	PUNCT
ejpam-4128	383	4	m.	m.	NOUN
ejpam-4128	383	5	al	al	PROPN
ejpam-4128	383	6	-	-	PUNCT
ejpam-4128	383	7	baali	baali	PROPN
ejpam-4128	383	8	.	.	PUNCT
ejpam-4128	383	9	descent	descent	NOUN
ejpam-4128	383	10	property	property	NOUN
ejpam-4128	383	11	and	and	CCONJ
ejpam-4128	383	12	global	global	ADJ
ejpam-4128	383	13	convergence	convergence	NOUN
ejpam-4128	383	14	of	of	ADP
ejpam-4128	383	15	the	the	DET
ejpam-4128	383	16	fletcher	fletcher	PROPN
ejpam-4128	383	17	-	-	PUNCT
ejpam-4128	383	18	reeves	reeves	PROPN
ejpam-4128	383	19	method	method	NOUN
ejpam-4128	383	20	with	with	ADP
ejpam-4128	383	21	inexact	inexact	ADJ
ejpam-4128	383	22	line	line	NOUN
ejpam-4128	383	23	search	search	NOUN
ejpam-4128	383	24	.	.	PUNCT
ejpam-4128	384	1	i	i	PRON
ejpam-4128	384	2	m	m	VERB
ejpam-4128	384	3	a	a	PROPN
ejpam-4128	384	4	j.	j.	PROPN
ejpam-4128	384	5	numer	numer	PROPN
ejpam-4128	384	6	.	.	PUNCT
ejpam-4128	385	1	anal	anal	PROPN
ejpam-4128	385	2	.	.	PROPN
ejpam-4128	385	3	,	,	PUNCT
ejpam-4128	385	4	5:121–124	5:121–124	NUM
ejpam-4128	385	5	,	,	PUNCT
ejpam-4128	385	6	1985	1985	NUM
ejpam-4128	385	7	.	.	PUNCT
ejpam-4128	386	1	[	[	X
ejpam-4128	386	2	6	6	NUM
ejpam-4128	386	3	]	]	PUNCT
ejpam-4128	386	4	a.	a.	NOUN
ejpam-4128	386	5	alhawarat	alhawarat	NOUN
ejpam-4128	386	6	and	and	CCONJ
ejpam-4128	386	7	z.	z.	PROPN
ejpam-4128	386	8	salleh	salleh	PROPN
ejpam-4128	386	9	.	.	PUNCT
ejpam-4128	387	1	modification	modification	NOUN
ejpam-4128	387	2	of	of	ADP
ejpam-4128	387	3	nonlinear	nonlinear	ADJ
ejpam-4128	387	4	conjugate	conjugate	ADJ
ejpam-4128	387	5	gradient	gradient	NOUN
ejpam-4128	387	6	method	method	NOUN
ejpam-4128	387	7	with	with	ADP
ejpam-4128	387	8	weak	weak	ADJ
ejpam-4128	387	9	wolfe	wolfe	PROPN
ejpam-4128	387	10	-	-	PUNCT
ejpam-4128	387	11	powell	powell	PROPN
ejpam-4128	387	12	line	line	NOUN
ejpam-4128	387	13	search	search	NOUN
ejpam-4128	387	14	.	.	PUNCT
ejpam-4128	388	1	in	in	ADP
ejpam-4128	388	2	abstract	abstract	ADJ
ejpam-4128	388	3	and	and	CCONJ
ejpam-4128	388	4	applied	apply	VERB
ejpam-4128	388	5	analysis	analysis	NOUN
ejpam-4128	388	6	,	,	PUNCT
ejpam-4128	388	7	hindawi	hindawi	ADJ
ejpam-4128	388	8	,	,	PUNCT
ejpam-4128	388	9	2017	2017	NUM
ejpam-4128	388	10	.	.	PUNCT
ejpam-4128	389	1	[	[	X
ejpam-4128	389	2	7	7	X
ejpam-4128	389	3	]	]	X
ejpam-4128	389	4	s.	s.	PROPN
ejpam-4128	389	5	boyd	boyd	PROPN
ejpam-4128	389	6	and	and	CCONJ
ejpam-4128	389	7	l.	l.	PROPN
ejpam-4128	389	8	vandenberghe	vandenberghe	PROPN
ejpam-4128	389	9	.	.	PUNCT
ejpam-4128	390	1	convex	convex	PROPN
ejpam-4128	390	2	optimization	optimization	NOUN
ejpam-4128	390	3	.	.	PUNCT
ejpam-4128	391	1	cambridge	cambridge	PROPN
ejpam-4128	391	2	university	university	PROPN
ejpam-4128	391	3	press	press	PROPN
ejpam-4128	391	4	,	,	PUNCT
ejpam-4128	391	5	united	united	ADJ
ejpam-4128	391	6	kingdom	kingdom	PROPN
ejpam-4128	391	7	,	,	PUNCT
ejpam-4128	391	8	2004	2004	NUM
ejpam-4128	391	9	.	.	PUNCT
ejpam-4128	392	1	[	[	X
ejpam-4128	392	2	8	8	X
ejpam-4128	392	3	]	]	PUNCT
ejpam-4128	393	1	e.	e.	PROPN
ejpam-4128	393	2	k.	k.	PROPN
ejpam-4128	393	3	p.	p.	PROPN
ejpam-4128	393	4	chong	chong	PROPN
ejpam-4128	393	5	and	and	CCONJ
ejpam-4128	393	6	s.	s.	PROPN
ejpam-4128	393	7	h.	h.	PROPN
ejpam-4128	393	8	zak	zak	PROPN
ejpam-4128	393	9	.	.	PUNCT
ejpam-4128	394	1	an	an	DET
ejpam-4128	394	2	introduction	introduction	NOUN
ejpam-4128	394	3	to	to	ADP
ejpam-4128	394	4	optimization	optimization	NOUN
ejpam-4128	394	5	.	.	PUNCT
ejpam-4128	395	1	wiley	wiley	PROPN
ejpam-4128	395	2	and	and	CCONJ
ejpam-4128	395	3	sons	son	NOUN
ejpam-4128	395	4	,	,	PUNCT
ejpam-4128	395	5	new	new	PROPN
ejpam-4128	395	6	york	york	PROPN
ejpam-4128	395	7	,	,	PUNCT
ejpam-4128	395	8	2nd	2nd	PROPN
ejpam-4128	395	9	ed	ed	NOUN
ejpam-4128	395	10	,	,	PUNCT
ejpam-4128	395	11	2005	2005	NUM
ejpam-4128	395	12	.	.	PUNCT
ejpam-4128	396	1	[	[	X
ejpam-4128	396	2	9	9	NUM
ejpam-4128	396	3	]	]	X
ejpam-4128	396	4	y.	y.	PROPN
ejpam-4128	396	5	dai	dai	PROPN
ejpam-4128	396	6	,	,	PUNCT
ejpam-4128	396	7	d.	d.	PROPN
ejpam-4128	396	8	sun	sun	PROPN
ejpam-4128	396	9	j.	j.	PROPN
ejpam-4128	396	10	han	han	PROPN
ejpam-4128	396	11	g.	g.	PROPN
ejpam-4128	396	12	liu	liu	PROPN
ejpam-4128	396	13	,	,	PUNCT
ejpam-4128	396	14	h.	h.	PROPN
ejpam-4128	396	15	yin	yin	PROPN
ejpam-4128	396	16	,	,	PUNCT
ejpam-4128	396	17	and	and	CCONJ
ejpam-4128	396	18	y.	y.	PROPN
ejpam-4128	396	19	x.	x.	PROPN
ejpam-4128	396	20	yuan	yuan	PROPN
ejpam-4128	396	21	.	.	PUNCT
ejpam-4128	397	1	convergence	convergence	NOUN
ejpam-4128	397	2	properties	property	NOUN
ejpam-4128	397	3	of	of	ADP
ejpam-4128	397	4	nonlinear	nonlinear	ADJ
ejpam-4128	397	5	conjugate	conjugate	ADJ
ejpam-4128	397	6	gradient	gradient	ADJ
ejpam-4128	397	7	methods	method	NOUN
ejpam-4128	397	8	.	.	PUNCT
ejpam-4128	398	1	siam	siam	PROPN
ejpam-4128	398	2	journal	journal	PROPN
ejpam-4128	398	3	on	on	ADP
ejpam-4128	398	4	optimization	optimization	NOUN
ejpam-4128	398	5	,	,	PUNCT
ejpam-4128	398	6	10(2):345	10(2):345	NUM
ejpam-4128	398	7	–	–	PUNCT
ejpam-4128	398	8	358	358	NUM
ejpam-4128	398	9	,	,	PUNCT
ejpam-4128	398	10	2000	2000	NUM
ejpam-4128	398	11	.	.	PUNCT
ejpam-4128	399	1	[	[	X
ejpam-4128	399	2	10	10	NUM
ejpam-4128	399	3	]	]	X
ejpam-4128	399	4	y.	y.	PROPN
ejpam-4128	399	5	h.	h.	PROPN
ejpam-4128	399	6	dai	dai	PROPN
ejpam-4128	399	7	and	and	CCONJ
ejpam-4128	399	8	l.	l.	PROPN
ejpam-4128	399	9	z.	z.	PROPN
ejpam-4128	399	10	liao	liao	PROPN
ejpam-4128	399	11	.	.	PUNCT
ejpam-4128	400	1	new	new	ADJ
ejpam-4128	400	2	conjugacy	conjugacy	ADJ
ejpam-4128	400	3	conditions	condition	NOUN
ejpam-4128	400	4	and	and	CCONJ
ejpam-4128	400	5	related	relate	VERB
ejpam-4128	400	6	nonlinear	nonlinear	ADJ
ejpam-4128	400	7	conjugate	conjugate	ADJ
ejpam-4128	400	8	gradient	gradient	ADJ
ejpam-4128	400	9	methods	method	NOUN
ejpam-4128	400	10	.	.	PUNCT
ejpam-4128	401	1	appl	appl	PROPN
ejpam-4128	401	2	.	.	PROPN
ejpam-4128	401	3	math	math	PROPN
ejpam-4128	401	4	.	.	PUNCT
ejpam-4128	402	1	optim	optim	PROPN
ejpam-4128	402	2	.	.	PROPN
ejpam-4128	402	3	,	,	PUNCT
ejpam-4128	402	4	43(1):87–101	43(1):87–101	NOUN
ejpam-4128	402	5	,	,	PUNCT
ejpam-4128	402	6	2001	2001	NUM
ejpam-4128	402	7	.	.	PUNCT
ejpam-4128	403	1	[	[	X
ejpam-4128	403	2	11	11	NUM
ejpam-4128	403	3	]	]	X
ejpam-4128	403	4	y.	y.	PROPN
ejpam-4128	403	5	h.	h.	PROPN
ejpam-4128	403	6	dai	dai	PROPN
ejpam-4128	403	7	and	and	CCONJ
ejpam-4128	403	8	y.	y.	PROPN
ejpam-4128	403	9	yuan	yuan	PROPN
ejpam-4128	403	10	.	.	PUNCT
ejpam-4128	404	1	a	a	DET
ejpam-4128	404	2	nonlinear	nonlinear	ADJ
ejpam-4128	404	3	conjugate	conjugate	ADJ
ejpam-4128	404	4	gradient	gradient	NOUN
ejpam-4128	404	5	method	method	NOUN
ejpam-4128	404	6	with	with	ADP
ejpam-4128	404	7	a	a	DET
ejpam-4128	404	8	strong	strong	ADJ
ejpam-4128	404	9	convergence	convergence	NOUN
ejpam-4128	404	10	property	property	NOUN
ejpam-4128	404	11	.	.	PUNCT
ejpam-4128	405	1	siam	siam	PROPN
ejpam-4128	405	2	journal	journal	PROPN
ejpam-4128	405	3	on	on	ADP
ejpam-4128	405	4	optimization	optimization	NOUN
ejpam-4128	405	5	,	,	PUNCT
ejpam-4128	405	6	10(1):177–182	10(1):177–182	NUM
ejpam-4128	405	7	,	,	PUNCT
ejpam-4128	405	8	1999	1999	NUM
ejpam-4128	405	9	.	.	PUNCT
ejpam-4128	406	1	[	[	X
ejpam-4128	406	2	12	12	NUM
ejpam-4128	406	3	]	]	X
ejpam-4128	406	4	e.d	e.d	PROPN
ejpam-4128	406	5	.	.	PROPN
ejpam-4128	406	6	dolan	dolan	PROPN
ejpam-4128	406	7	and	and	CCONJ
ejpam-4128	406	8	j.j	j.j	PROPN
ejpam-4128	406	9	.	.	PROPN
ejpam-4128	406	10	moré.	moré.	PROPN
ejpam-4128	406	11	benchmarking	benchmarke	VERB
ejpam-4128	406	12	optimization	optimization	NOUN
ejpam-4128	406	13	software	software	NOUN
ejpam-4128	406	14	with	with	ADP
ejpam-4128	406	15	performance	performance	NOUN
ejpam-4128	406	16	profiles	profile	NOUN
ejpam-4128	406	17	.	.	PUNCT
ejpam-4128	407	1	math	math	NOUN
ejpam-4128	407	2	.	.	PUNCT
ejpam-4128	408	1	program	program	NOUN
ejpam-4128	408	2	.	.	PUNCT
ejpam-4128	408	3	,	,	PUNCT
ejpam-4128	409	1	91:201–213	91:201–213	NUM
ejpam-4128	409	2	,	,	PUNCT
ejpam-4128	409	3	2002	2002	NUM
ejpam-4128	409	4	.	.	PUNCT
ejpam-4128	410	1	[	[	X
ejpam-4128	410	2	13	13	NUM
ejpam-4128	410	3	]	]	PUNCT
ejpam-4128	410	4	r.	r.	PROPN
ejpam-4128	410	5	fletcher	fletcher	PROPN
ejpam-4128	410	6	.	.	PUNCT
ejpam-4128	411	1	practical	practical	ADJ
ejpam-4128	411	2	methods	method	NOUN
ejpam-4128	411	3	of	of	ADP
ejpam-4128	411	4	optimization	optimization	NOUN
ejpam-4128	411	5	.	.	PUNCT
ejpam-4128	412	1	john	john	PROPN
ejpam-4128	412	2	wiley	wiley	PROPN
ejpam-4128	412	3	&	&	CCONJ
ejpam-4128	412	4	sons	son	NOUN
ejpam-4128	412	5	,	,	PUNCT
ejpam-4128	412	6	2013	2013	NUM
ejpam-4128	412	7	.	.	PUNCT
ejpam-4128	413	1	[	[	X
ejpam-4128	413	2	14	14	NUM
ejpam-4128	413	3	]	]	X
ejpam-4128	413	4	r.	r.	PROPN
ejpam-4128	413	5	fletcher	fletcher	PROPN
ejpam-4128	413	6	and	and	CCONJ
ejpam-4128	413	7	c.	c.	PROPN
ejpam-4128	413	8	m.	m.	PROPN
ejpam-4128	413	9	reeves	reeves	PROPN
ejpam-4128	413	10	.	.	PUNCT
ejpam-4128	414	1	function	function	NOUN
ejpam-4128	414	2	minimization	minimization	NOUN
ejpam-4128	414	3	by	by	ADP
ejpam-4128	414	4	conjugate	conjugate	ADJ
ejpam-4128	414	5	gradients	gradient	NOUN
ejpam-4128	414	6	.	.	PUNCT
ejpam-4128	415	1	the	the	DET
ejpam-4128	415	2	computer	computer	NOUN
ejpam-4128	415	3	journal	journal	NOUN
ejpam-4128	415	4	,	,	PUNCT
ejpam-4128	415	5	7(2):149–154	7(2):149–154	NUM
ejpam-4128	415	6	,	,	PUNCT
ejpam-4128	415	7	1964	1964	NUM
ejpam-4128	415	8	.	.	PUNCT
ejpam-4128	416	1	[	[	X
ejpam-4128	416	2	15	15	NUM
ejpam-4128	416	3	]	]	X
ejpam-4128	416	4	j.	j.	PROPN
ejpam-4128	416	5	c.	c.	PROPN
ejpam-4128	416	6	gilbert	gilbert	PROPN
ejpam-4128	416	7	and	and	CCONJ
ejpam-4128	416	8	j.	j.	PROPN
ejpam-4128	416	9	nocedal	nocedal	PROPN
ejpam-4128	416	10	.	.	PUNCT
ejpam-4128	417	1	global	global	ADJ
ejpam-4128	417	2	convergence	convergence	NOUN
ejpam-4128	417	3	properties	property	NOUN
ejpam-4128	417	4	of	of	ADP
ejpam-4128	417	5	conjugate	conjugate	ADJ
ejpam-4128	417	6	gradient	gradient	ADJ
ejpam-4128	417	7	methods	method	NOUN
ejpam-4128	417	8	for	for	ADP
ejpam-4128	417	9	optimization	optimization	NOUN
ejpam-4128	417	10	.	.	PUNCT
ejpam-4128	418	1	siam	siam	PROPN
ejpam-4128	418	2	.	.	PUNCT
ejpam-4128	419	1	j.	j.	PROPN
ejpam-4128	419	2	optim	optim	PROPN
ejpam-4128	419	3	.	.	PROPN
ejpam-4128	419	4	,	,	PUNCT
ejpam-4128	419	5	2:21–42	2:21–42	NUM
ejpam-4128	419	6	,	,	PUNCT
ejpam-4128	419	7	1992	1992	NUM
ejpam-4128	419	8	.	.	PUNCT
ejpam-4128	420	1	[	[	X
ejpam-4128	420	2	16	16	NUM
ejpam-4128	420	3	]	]	X
ejpam-4128	420	4	i.	i.	PROPN
ejpam-4128	420	5	c.	c.	PROPN
ejpam-4128	420	6	bivens	bivens	PROPN
ejpam-4128	420	7	h.	h.	PROPN
ejpam-4128	420	8	anton	anton	PROPN
ejpam-4128	420	9	and	and	CCONJ
ejpam-4128	420	10	s.	s.	PROPN
ejpam-4128	420	11	davis	davis	PROPN
ejpam-4128	420	12	.	.	PUNCT
ejpam-4128	421	1	calculus	calculus	PROPN
ejpam-4128	421	2	:	:	PUNCT
ejpam-4128	421	3	early	early	ADJ
ejpam-4128	421	4	transcendentals	transcendental	NOUN
ejpam-4128	421	5	.	.	PUNCT
ejpam-4128	422	1	john	john	PROPN
ejpam-4128	422	2	wiley	wiley	PROPN
ejpam-4128	422	3	,	,	PUNCT
ejpam-4128	422	4	2010	2010	NUM
ejpam-4128	422	5	.	.	PUNCT
ejpam-4128	423	1	[	[	X
ejpam-4128	423	2	17	17	NUM
ejpam-4128	423	3	]	]	X
ejpam-4128	423	4	w.	w.	PROPN
ejpam-4128	423	5	w	w	PROPN
ejpam-4128	423	6	hager	hager	PROPN
ejpam-4128	423	7	and	and	CCONJ
ejpam-4128	423	8	h.	h.	PROPN
ejpam-4128	423	9	zhang	zhang	PROPN
ejpam-4128	423	10	.	.	PUNCT
ejpam-4128	424	1	a	a	DET
ejpam-4128	424	2	new	new	ADJ
ejpam-4128	424	3	conjugate	conjugate	ADJ
ejpam-4128	424	4	gradient	gradient	NOUN
ejpam-4128	424	5	method	method	NOUN
ejpam-4128	424	6	with	with	ADP
ejpam-4128	424	7	guaranteed	guarantee	VERB
ejpam-4128	424	8	descent	descent	NOUN
ejpam-4128	424	9	and	and	CCONJ
ejpam-4128	424	10	an	an	DET
ejpam-4128	424	11	efficient	efficient	ADJ
ejpam-4128	424	12	line	line	NOUN
ejpam-4128	424	13	search	search	NOUN
ejpam-4128	424	14	.	.	PUNCT
ejpam-4128	425	1	siam	siam	PROPN
ejpam-4128	425	2	journal	journal	PROPN
ejpam-4128	425	3	on	on	ADP
ejpam-4128	425	4	optimization	optimization	NOUN
ejpam-4128	425	5	,	,	PUNCT
ejpam-4128	425	6	16(1):170–192	16(1):170–192	NUM
ejpam-4128	425	7	,	,	PUNCT
ejpam-4128	425	8	2005	2005	NUM
ejpam-4128	425	9	.	.	PUNCT
ejpam-4128	426	1	references	reference	NOUN
ejpam-4128	426	2	1449	1449	NUM
ejpam-4128	427	1	[	[	X
ejpam-4128	427	2	18	18	NUM
ejpam-4128	427	3	]	]	X
ejpam-4128	427	4	w.	w.	PROPN
ejpam-4128	427	5	w	w	PROPN
ejpam-4128	427	6	hager	hager	PROPN
ejpam-4128	427	7	and	and	CCONJ
ejpam-4128	427	8	h.	h.	PROPN
ejpam-4128	427	9	zhang	zhang	PROPN
ejpam-4128	427	10	.	.	PUNCT
ejpam-4128	428	1	the	the	DET
ejpam-4128	428	2	limited	limited	ADJ
ejpam-4128	428	3	memory	memory	NOUN
ejpam-4128	428	4	conjugate	conjugate	ADJ
ejpam-4128	428	5	gradient	gradient	NOUN
ejpam-4128	428	6	method	method	NOUN
ejpam-4128	428	7	.	.	PUNCT
ejpam-4128	429	1	siam	siam	PROPN
ejpam-4128	429	2	journal	journal	PROPN
ejpam-4128	429	3	on	on	ADP
ejpam-4128	429	4	optimization	optimization	NOUN
ejpam-4128	429	5	,	,	PUNCT
ejpam-4128	429	6	23(4):2150–2168	23(4):2150–2168	PROPN
ejpam-4128	429	7	,	,	PUNCT
ejpam-4128	429	8	2013	2013	NUM
ejpam-4128	429	9	.	.	PUNCT
ejpam-4128	430	1	[	[	X
ejpam-4128	430	2	19	19	NUM
ejpam-4128	430	3	]	]	PUNCT
ejpam-4128	430	4	m.	m.	NOUN
ejpam-4128	430	5	r.	r.	PROPN
ejpam-4128	430	6	hestenes	hestenes	PROPN
ejpam-4128	430	7	and	and	CCONJ
ejpam-4128	430	8	e.	e.	PROPN
ejpam-4128	430	9	stiefel	stiefel	PROPN
ejpam-4128	430	10	.	.	PUNCT
ejpam-4128	431	1	methods	method	NOUN
ejpam-4128	431	2	of	of	ADP
ejpam-4128	431	3	conjugate	conjugate	ADJ
ejpam-4128	431	4	gradients	gradient	NOUN
ejpam-4128	431	5	for	for	ADP
ejpam-4128	431	6	solving	solve	VERB
ejpam-4128	431	7	linear	linear	NOUN
ejpam-4128	431	8	systems	system	NOUN
ejpam-4128	431	9	.	.	PUNCT
ejpam-4128	432	1	journal	journal	PROPN
ejpam-4128	432	2	of	of	ADP
ejpam-4128	432	3	research	research	NOUN
ejpam-4128	432	4	of	of	ADP
ejpam-4128	432	5	the	the	DET
ejpam-4128	432	6	national	national	PROPN
ejpam-4128	432	7	bureau	bureau	PROPN
ejpam-4128	432	8	of	of	ADP
ejpam-4128	432	9	standards	standard	NOUN
ejpam-4128	432	10	,	,	PUNCT
ejpam-4128	432	11	49(6):409–436	49(6):409–436	NOUN
ejpam-4128	432	12	,	,	PUNCT
ejpam-4128	432	13	1952	1952	NUM
ejpam-4128	432	14	.	.	PUNCT
ejpam-4128	433	1	[	[	X
ejpam-4128	433	2	20	20	NUM
ejpam-4128	433	3	]	]	PUNCT
ejpam-4128	433	4	z.	z.	PROPN
ejpam-4128	433	5	salleh	salleh	PROPN
ejpam-4128	433	6	i.	i.	PROPN
ejpam-4128	433	7	a.	a.	PROPN
ejpam-4128	433	8	masmali	masmali	PROPN
ejpam-4128	433	9	and	and	CCONJ
ejpam-4128	433	10	a.	a.	NOUN
ejpam-4128	433	11	alhawarat	alhawarat	PROPN
ejpam-4128	433	12	.	.	PUNCT
ejpam-4128	434	1	a	a	DET
ejpam-4128	434	2	decent	decent	ADJ
ejpam-4128	434	3	three	three	NUM
ejpam-4128	434	4	-	-	PUNCT
ejpam-4128	434	5	term	term	NOUN
ejpam-4128	434	6	conjugate	conjugate	ADJ
ejpam-4128	434	7	gradient	gradient	NOUN
ejpam-4128	434	8	method	method	NOUN
ejpam-4128	434	9	with	with	ADP
ejpam-4128	434	10	global	global	ADJ
ejpam-4128	434	11	convergence	convergence	NOUN
ejpam-4128	434	12	properties	property	NOUN
ejpam-4128	434	13	for	for	ADP
ejpam-4128	434	14	large	large	ADJ
ejpam-4128	434	15	scale	scale	NOUN
ejpam-4128	434	16	unconstrained	unconstrained	ADJ
ejpam-4128	434	17	optimization	optimization	NOUN
ejpam-4128	434	18	problems	problem	NOUN
ejpam-4128	434	19	.	.	PUNCT
ejpam-4128	435	1	aims	aim	VERB
ejpam-4128	435	2	mathematics	mathematic	NOUN
ejpam-4128	435	3	,	,	PUNCT
ejpam-4128	435	4	6(10):10742–10764	6(10):10742–10764	NUM
ejpam-4128	435	5	,	,	PUNCT
ejpam-4128	435	6	2021	2021	NUM
ejpam-4128	435	7	.	.	PUNCT
ejpam-4128	436	1	[	[	X
ejpam-4128	436	2	21	21	NUM
ejpam-4128	436	3	]	]	X
ejpam-4128	436	4	n.	n.	PROPN
ejpam-4128	436	5	gould	gould	PROPN
ejpam-4128	436	6	i.	i.	PROPN
ejpam-4128	436	7	bongartz	bongartz	PROPN
ejpam-4128	436	8	,	,	PUNCT
ejpam-4128	436	9	a.	a.	PROPN
ejpam-4128	436	10	r.	r.	PROPN
ejpam-4128	436	11	conn	conn	PROPN
ejpam-4128	436	12	and	and	CCONJ
ejpam-4128	436	13	p.	p.	PROPN
ejpam-4128	436	14	l.	l.	PROPN
ejpam-4128	436	15	toint	toint	PROPN
ejpam-4128	436	16	.	.	PUNCT
ejpam-4128	437	1	cute	cute	ADJ
ejpam-4128	437	2	:	:	PUNCT
ejpam-4128	437	3	constrained	constrained	ADJ
ejpam-4128	437	4	and	and	CCONJ
ejpam-4128	437	5	unconstrained	unconstrained	ADJ
ejpam-4128	437	6	testing	testing	NOUN
ejpam-4128	437	7	environment	environment	NOUN
ejpam-4128	437	8	.	.	PUNCT
ejpam-4128	438	1	acm	acm	PROPN
ejpam-4128	438	2	transactions	transaction	NOUN
ejpam-4128	438	3	on	on	ADP
ejpam-4128	438	4	mathematical	mathematical	ADJ
ejpam-4128	438	5	software	software	NOUN
ejpam-4128	438	6	(	(	PUNCT
ejpam-4128	438	7	toms	tom	NOUN
ejpam-4128	438	8	)	)	PUNCT
ejpam-4128	438	9	,	,	PUNCT
ejpam-4128	438	10	21(1):123–160	21(1):123–160	PROPN
ejpam-4128	438	11	,	,	PUNCT
ejpam-4128	438	12	1995	1995	NUM
ejpam-4128	438	13	.	.	PUNCT
ejpam-4128	439	1	[	[	X
ejpam-4128	439	2	22	22	NUM
ejpam-4128	439	3	]	]	X
ejpam-4128	439	4	l.q	l.q	PROPN
ejpam-4128	439	5	.	.	PROPN
ejpam-4128	439	6	zhang	zhang	PROPN
ejpam-4128	439	7	j.	j.	PROPN
ejpam-4128	439	8	k.	k.	PROPN
ejpam-4128	439	9	liu	liu	PROPN
ejpam-4128	439	10	,	,	PUNCT
ejpam-4128	439	11	j.l	j.l	PROPN
ejpam-4128	439	12	.	.	PROPN
ejpam-4128	439	13	xu	xu	PROPN
ejpam-4128	439	14	.	.	PUNCT
ejpam-4128	440	1	partially	partially	ADV
ejpam-4128	440	2	symmetrical	symmetrical	ADJ
ejpam-4128	440	3	derivative	derivative	ADJ
ejpam-4128	440	4	-	-	PUNCT
ejpam-4128	440	5	free	free	ADJ
ejpam-4128	440	6	liu	liu	PROPN
ejpam-4128	440	7	-	-	PUNCT
ejpam-4128	440	8	storey	storey	NOUN
ejpam-4128	440	9	projection	projection	NOUN
ejpam-4128	440	10	method	method	NOUN
ejpam-4128	440	11	for	for	ADP
ejpam-4128	440	12	convex	convex	ADJ
ejpam-4128	440	13	constrained	constrain	VERB
ejpam-4128	440	14	equations	equation	NOUN
ejpam-4128	440	15	.	.	PUNCT
ejpam-4128	441	1	int	int	NOUN
ejpam-4128	441	2	.	.	PUNCT
ejpam-4128	442	1	j.	j.	PROPN
ejpam-4128	442	2	comput	comput	PROPN
ejpam-4128	442	3	.	.	PUNCT
ejpam-4128	443	1	math	math	NOUN
ejpam-4128	443	2	,	,	PUNCT
ejpam-4128	443	3	96:1787–1798	96:1787–1798	NUM
ejpam-4128	443	4	,	,	PUNCT
ejpam-4128	443	5	2019	2019	NUM
ejpam-4128	443	6	.	.	PUNCT
ejpam-4128	444	1	[	[	X
ejpam-4128	444	2	23	23	NUM
ejpam-4128	444	3	]	]	X
ejpam-4128	444	4	y.	y.	PROPN
ejpam-4128	444	5	liu	liu	PROPN
ejpam-4128	444	6	and	and	CCONJ
ejpam-4128	444	7	c.	c.	PROPN
ejpam-4128	444	8	storey	storey	PROPN
ejpam-4128	444	9	.	.	PUNCT
ejpam-4128	445	1	efficient	efficient	ADJ
ejpam-4128	445	2	generalized	generalize	VERB
ejpam-4128	445	3	conjugate	conjugate	ADJ
ejpam-4128	445	4	gradient	gradient	ADJ
ejpam-4128	445	5	algorithms	algorithm	NOUN
ejpam-4128	445	6	,	,	PUNCT
ejpam-4128	445	7	part	part	NOUN
ejpam-4128	445	8	1	1	NUM
ejpam-4128	445	9	:	:	PUNCT
ejpam-4128	445	10	theory	theory	NOUN
ejpam-4128	445	11	.	.	PUNCT
ejpam-4128	446	1	journal	journal	NOUN
ejpam-4128	446	2	of	of	ADP
ejpam-4128	446	3	optimization	optimization	NOUN
ejpam-4128	446	4	theory	theory	NOUN
ejpam-4128	446	5	and	and	CCONJ
ejpam-4128	446	6	applications	application	NOUN
ejpam-4128	446	7	,	,	PUNCT
ejpam-4128	446	8	69(1):129–137	69(1):129–137	NUM
ejpam-4128	446	9	,	,	PUNCT
ejpam-4128	446	10	1991	1991	NUM
ejpam-4128	446	11	.	.	PUNCT
ejpam-4128	447	1	[	[	X
ejpam-4128	447	2	24	24	NUM
ejpam-4128	447	3	]	]	X
ejpam-4128	447	4	y.	y.	PROPN
ejpam-4128	447	5	narushima	narushima	PROPN
ejpam-4128	447	6	m.	m.	PROPN
ejpam-4128	447	7	al	al	PROPN
ejpam-4128	447	8	-	-	PUNCT
ejpam-4128	447	9	baali	baali	PROPN
ejpam-4128	447	10	and	and	CCONJ
ejpam-4128	447	11	h.	h.	PROPN
ejpam-4128	447	12	yabe	yabe	PROPN
ejpam-4128	447	13	.	.	PUNCT
ejpam-4128	448	1	a	a	DET
ejpam-4128	448	2	family	family	NOUN
ejpam-4128	448	3	of	of	ADP
ejpam-4128	448	4	three	three	NUM
ejpam-4128	448	5	-	-	PUNCT
ejpam-4128	448	6	term	term	NOUN
ejpam-4128	448	7	conjugate	conjugate	ADJ
ejpam-4128	448	8	gradient	gradient	NOUN
ejpam-4128	448	9	methods	method	NOUN
ejpam-4128	448	10	with	with	ADP
ejpam-4128	448	11	sufficient	sufficient	ADJ
ejpam-4128	448	12	descent	descent	NOUN
ejpam-4128	448	13	property	property	NOUN
ejpam-4128	448	14	for	for	ADP
ejpam-4128	448	15	unconstrained	unconstrained	ADJ
ejpam-4128	448	16	optimization	optimization	NOUN
ejpam-4128	448	17	.	.	PUNCT
ejpam-4128	448	18	.	.	PUNCT
ejpam-4128	449	1	computational	computational	ADJ
ejpam-4128	449	2	optimization	optimization	NOUN
ejpam-4128	449	3	and	and	CCONJ
ejpam-4128	449	4	applications	application	NOUN
ejpam-4128	449	5	,	,	PUNCT
ejpam-4128	449	6	60(1):89–110	60(1):89–110	NOUN
ejpam-4128	449	7	,	,	PUNCT
ejpam-4128	449	8	2015	2015	NUM
ejpam-4128	449	9	.	.	PUNCT
ejpam-4128	450	1	[	[	X
ejpam-4128	450	2	25	25	NUM
ejpam-4128	450	3	]	]	PUNCT
ejpam-4128	450	4	e.	e.	PROPN
ejpam-4128	450	5	polak	polak	PROPN
ejpam-4128	450	6	and	and	CCONJ
ejpam-4128	450	7	g.	g.	PROPN
ejpam-4128	450	8	ribiere	ribiere	PROPN
ejpam-4128	450	9	.	.	PUNCT
ejpam-4128	451	1	note	note	VERB
ejpam-4128	451	2	sur	sur	PROPN
ejpam-4128	451	3	la	la	X
ejpam-4128	451	4	convergence	convergence	NOUN
ejpam-4128	451	5	de	de	X
ejpam-4128	451	6	méthodes	méthodes	X
ejpam-4128	451	7	de	de	PROPN
ejpam-4128	451	8	directions	direction	NOUN
ejpam-4128	451	9	conjuguées	conjuguées	PROPN
ejpam-4128	451	10	.	.	PUNCT
ejpam-4128	452	1	esaim	esaim	NOUN
ejpam-4128	452	2	:	:	PUNCT
ejpam-4128	452	3	mathematical	mathematical	ADJ
ejpam-4128	452	4	modelling	modelling	NOUN
ejpam-4128	452	5	and	and	CCONJ
ejpam-4128	452	6	numerical	numerical	ADJ
ejpam-4128	452	7	analysis	analysis	NOUN
ejpam-4128	452	8	-	-	PUNCT
ejpam-4128	452	9	modélisation	modélisation	NOUN
ejpam-4128	452	10	mathématique	mathématique	NOUN
ejpam-4128	452	11	et	et	NOUN
ejpam-4128	452	12	analyse	analyse	PROPN
ejpam-4128	452	13	numérique	numérique	NOUN
ejpam-4128	452	14	,	,	PUNCT
ejpam-4128	452	15	3(r1):35–43	3(r1):35–43	NUM
ejpam-4128	452	16	,	,	PUNCT
ejpam-4128	452	17	1969	1969	NUM
ejpam-4128	452	18	.	.	PUNCT
ejpam-4128	453	1	[	[	X
ejpam-4128	453	2	26	26	NUM
ejpam-4128	453	3	]	]	PUNCT
ejpam-4128	453	4	m.	m.	NOUN
ejpam-4128	453	5	j.	j.	PROPN
ejpam-4128	453	6	powell	powell	PROPN
ejpam-4128	453	7	.	.	PUNCT
ejpam-4128	454	1	non	non	ADJ
ejpam-4128	454	2	-	-	ADJ
ejpam-4128	454	3	convex	convex	ADJ
ejpam-4128	454	4	minimization	minimization	NOUN
ejpam-4128	454	5	calculations	calculation	NOUN
ejpam-4128	454	6	and	and	CCONJ
ejpam-4128	454	7	the	the	DET
ejpam-4128	454	8	conjugate	conjugate	ADJ
ejpam-4128	454	9	gradient	gradient	NOUN
ejpam-4128	454	10	method	method	NOUN
ejpam-4128	454	11	.	.	PUNCT
ejpam-4128	455	1	in	in	ADP
ejpam-4128	455	2	numerical	numerical	ADJ
ejpam-4128	455	3	analysis	analysis	NOUN
ejpam-4128	455	4	,	,	PUNCT
ejpam-4128	455	5	springer	springer	NOUN
ejpam-4128	455	6	,	,	PUNCT
ejpam-4128	455	7	berlin	berlin	PROPN
ejpam-4128	455	8	,	,	PUNCT
ejpam-4128	455	9	heidelberg:122–141	heidelberg:122–141	NUM
ejpam-4128	455	10	,	,	PUNCT
ejpam-4128	455	11	1984	1984	NUM
ejpam-4128	455	12	.	.	PUNCT
ejpam-4128	456	1	[	[	X
ejpam-4128	456	2	27	27	NUM
ejpam-4128	456	3	]	]	X
ejpam-4128	456	4	h.	h.	PROPN
ejpam-4128	456	5	tu	tu	PROPN
ejpam-4128	456	6	s.	s.	PROPN
ejpam-4128	456	7	yao	yao	PROPN
ejpam-4128	456	8	,	,	PUNCT
ejpam-4128	456	9	l.	l.	PROPN
ejpam-4128	456	10	ning	ning	PROPN
ejpam-4128	456	11	and	and	CCONJ
ejpam-4128	456	12	j.	j.	PROPN
ejpam-4128	456	13	xu	xu	PROPN
ejpam-4128	456	14	.	.	PUNCT
ejpam-4128	457	1	a	a	DET
ejpam-4128	457	2	one	one	NUM
ejpam-4128	457	3	-	-	PUNCT
ejpam-4128	457	4	parameter	parameter	NOUN
ejpam-4128	457	5	class	class	NOUN
ejpam-4128	457	6	of	of	ADP
ejpam-4128	457	7	three	three	NUM
ejpam-4128	457	8	-	-	PUNCT
ejpam-4128	457	9	term	term	NOUN
ejpam-4128	457	10	conjugate	conjugate	ADJ
ejpam-4128	457	11	gradient	gradient	NOUN
ejpam-4128	457	12	methods	method	NOUN
ejpam-4128	457	13	with	with	ADP
ejpam-4128	457	14	an	an	DET
ejpam-4128	457	15	adaptive	adaptive	ADJ
ejpam-4128	457	16	parameter	parameter	NOUN
ejpam-4128	457	17	choice	choice	NOUN
ejpam-4128	457	18	.	.	PUNCT
ejpam-4128	458	1	optimization	optimization	NOUN
ejpam-4128	458	2	methods	method	NOUN
ejpam-4128	458	3	and	and	CCONJ
ejpam-4128	458	4	software	software	NOUN
ejpam-4128	458	5	,	,	PUNCT
ejpam-4128	458	6	35(6):1051–1064	35(6):1051–1064	NOUN
ejpam-4128	458	7	,	,	PUNCT
ejpam-4128	458	8	2020	2020	NUM
ejpam-4128	458	9	.	.	PUNCT
ejpam-4128	459	1	[	[	X
ejpam-4128	459	2	28	28	NUM
ejpam-4128	459	3	]	]	X
ejpam-4128	459	4	j.	j.	PROPN
ejpam-4128	459	5	a.	a.	PROPN
ejpam-4128	459	6	snyman	snyman	PROPN
ejpam-4128	459	7	.	.	PUNCT
ejpam-4128	460	1	practical	practical	ADJ
ejpam-4128	460	2	mathematical	mathematical	ADJ
ejpam-4128	460	3	optimization	optimization	NOUN
ejpam-4128	460	4	..	..	PUNCT
ejpam-4128	460	5	springer	springer	NOUN
ejpam-4128	460	6	science	science	NOUN
ejpam-4128	460	7	and	and	CCONJ
ejpam-4128	460	8	business	business	NOUN
ejpam-4128	460	9	media	medium	NOUN
ejpam-4128	460	10	,	,	PUNCT
ejpam-4128	460	11	new	new	PROPN
ejpam-4128	460	12	york	york	PROPN
ejpam-4128	460	13	,	,	PUNCT
ejpam-4128	460	14	2005	2005	NUM
ejpam-4128	460	15	.	.	PUNCT
ejpam-4128	461	1	[	[	X
ejpam-4128	461	2	29	29	NUM
ejpam-4128	461	3	]	]	X
ejpam-4128	461	4	w.	w.	PROPN
ejpam-4128	461	5	sun	sun	PROPN
ejpam-4128	461	6	and	and	CCONJ
ejpam-4128	461	7	y.	y.	PROPN
ejpam-4128	461	8	x.	x.	PROPN
ejpam-4128	461	9	yuan	yuan	PROPN
ejpam-4128	461	10	.	.	PUNCT
ejpam-4128	462	1	optimization	optimization	NOUN
ejpam-4128	462	2	theory	theory	NOUN
ejpam-4128	462	3	and	and	CCONJ
ejpam-4128	462	4	methods	method	NOUN
ejpam-4128	462	5	:	:	PUNCT
ejpam-4128	462	6	nonlinear	nonlinear	ADJ
ejpam-4128	462	7	programming	programming	NOUN
ejpam-4128	462	8	.	.	PUNCT
ejpam-4128	463	1	springer	springer	PROPN
ejpam-4128	463	2	science	science	PROPN
ejpam-4128	463	3	&	&	CCONJ
ejpam-4128	463	4	business	business	NOUN
ejpam-4128	463	5	media	medium	NOUN
ejpam-4128	463	6	,	,	PUNCT
ejpam-4128	463	7	1	1	NUM
ejpam-4128	463	8	,	,	PUNCT
ejpam-4128	463	9	2006	2006	NUM
ejpam-4128	463	10	.	.	PUNCT
ejpam-4128	464	1	[	[	X
ejpam-4128	464	2	30	30	NUM
ejpam-4128	464	3	]	]	PUNCT
ejpam-4128	464	4	p.	p.	PROPN
ejpam-4128	464	5	wolfe	wolfe	PROPN
ejpam-4128	464	6	.	.	PUNCT
ejpam-4128	465	1	convergence	convergence	NOUN
ejpam-4128	465	2	conditions	condition	NOUN
ejpam-4128	465	3	for	for	ADP
ejpam-4128	465	4	ascent	ascent	ADJ
ejpam-4128	465	5	methods	method	NOUN
ejpam-4128	465	6	.	.	PUNCT
ejpam-4128	466	1	siam	siam	PROPN
ejpam-4128	466	2	review	review	PROPN
ejpam-4128	466	3	,	,	PUNCT
ejpam-4128	466	4	11(2):226–235	11(2):226–235	NUM
ejpam-4128	466	5	,	,	PUNCT
ejpam-4128	466	6	1969	1969	NUM
ejpam-4128	466	7	.	.	PUNCT
ejpam-4128	467	1	[	[	X
ejpam-4128	467	2	31	31	NUM
ejpam-4128	467	3	]	]	PUNCT
ejpam-4128	467	4	p.	p.	PROPN
ejpam-4128	467	5	wolfe	wolfe	PROPN
ejpam-4128	467	6	.	.	PUNCT
ejpam-4128	468	1	convergence	convergence	NOUN
ejpam-4128	468	2	conditions	condition	NOUN
ejpam-4128	468	3	for	for	ADP
ejpam-4128	468	4	ascent	ascent	ADJ
ejpam-4128	468	5	methods	method	NOUN
ejpam-4128	468	6	.	.	PUNCT
ejpam-4128	469	1	ii	ii	PROPN
ejpam-4128	469	2	:	:	PUNCT
ejpam-4128	469	3	some	some	DET
ejpam-4128	469	4	corrections	correction	NOUN
ejpam-4128	469	5	.	.	PUNCT
ejpam-4128	470	1	siam	siam	PROPN
ejpam-4128	470	2	review	review	PROPN
ejpam-4128	470	3	,	,	PUNCT
ejpam-4128	470	4	13(2):185–188	13(2):185–188	NUM
ejpam-4128	470	5	,	,	PUNCT
ejpam-4128	470	6	1971	1971	NUM
ejpam-4128	470	7	.	.	PUNCT
ejpam-4128	471	1	references	reference	NOUN
ejpam-4128	471	2	1450	1450	NUM
ejpam-4128	471	3	[	[	X
ejpam-4128	471	4	32	32	NUM
ejpam-4128	471	5	]	]	PUNCT
ejpam-4128	471	6	i.	i.	PROPN
ejpam-4128	471	7	masmali	masmali	PROPN
ejpam-4128	471	8	z.	z.	PROPN
ejpam-4128	471	9	salleh	salleh	PROPN
ejpam-4128	471	10	,	,	PUNCT
ejpam-4128	471	11	g.	g.	PROPN
ejpam-4128	471	12	alhamzi	alhamzi	PROPN
ejpam-4128	471	13	and	and	CCONJ
ejpam-4128	471	14	a.	a.	PROPN
ejpam-4128	471	15	alhawarat	alhawarat	PROPN
ejpam-4128	471	16	.	.	PUNCT
ejpam-4128	472	1	a	a	DET
ejpam-4128	472	2	modified	modified	ADJ
ejpam-4128	472	3	liu	liu	PROPN
ejpam-4128	472	4	and	and	CCONJ
ejpam-4128	472	5	storey	storey	PROPN
ejpam-4128	472	6	conjugate	conjugate	VERB
ejpam-4128	472	7	gradient	gradient	NOUN
ejpam-4128	472	8	method	method	NOUN
ejpam-4128	472	9	for	for	ADP
ejpam-4128	472	10	large	large	ADJ
ejpam-4128	472	11	scale	scale	NOUN
ejpam-4128	472	12	unconstrained	unconstrained	ADJ
ejpam-4128	472	13	optimization	optimization	NOUN
ejpam-4128	472	14	problems	problem	NOUN
ejpam-4128	472	15	.	.	PUNCT
ejpam-4128	473	1	algorithms	algorithm	NOUN
ejpam-4128	473	2	,	,	PUNCT
ejpam-4128	473	3	14(8):227	14(8):227	NUM
ejpam-4128	473	4	,	,	PUNCT
ejpam-4128	473	5	2021	2021	NUM
ejpam-4128	473	6	.	.	PUNCT
ejpam-4128	474	1	[	[	X
ejpam-4128	474	2	33	33	NUM
ejpam-4128	474	3	]	]	PUNCT
ejpam-4128	474	4	g.	g.	PROPN
ejpam-4128	474	5	zoutendijk	zoutendijk	PROPN
ejpam-4128	474	6	.	.	PUNCT
ejpam-4128	475	1	nonlinear	nonlinear	ADJ
ejpam-4128	475	2	programming	programming	NOUN
ejpam-4128	475	3	,	,	PUNCT
ejpam-4128	475	4	computational	computational	ADJ
ejpam-4128	475	5	methods	method	NOUN
ejpam-4128	475	6	.	.	PUNCT
ejpam-4128	476	1	integer	integer	PROPN
ejpam-4128	476	2	nonlinear	nonlinear	PROPN
ejpam-4128	476	3	program	program	PROPN
ejpam-4128	476	4	,	,	PUNCT
ejpam-4128	476	5	143:37–86	143:37–86	NUM
ejpam-4128	476	6	,	,	PUNCT
ejpam-4128	476	7	1970	1970	NUM
ejpam-4128	476	8	.	.	PUNCT
ejpam-4128	477	1	appendix	appendix	VERB
ejpam-4128	477	2	1451	1451	NUM
ejpam-4128	477	3	appendix	appendix	NOUN
ejpam-4128	477	4	1	1	NUM
ejpam-4128	477	5	ftcgls	ftcgls	NOUN
ejpam-4128	477	6	ftcghs	ftcgh	NOUN
ejpam-4128	477	7	cgdescent	cgdescent	PROPN
ejpam-4128	477	8	dl+	dl+	PROPN
ejpam-4128	477	9	function	function	NOUN
ejpam-4128	477	10	a	a	DET
ejpam-4128	477	11	b	b	NOUN
ejpam-4128	477	12	c	c	NOUN
ejpam-4128	477	13	d	d	NOUN
ejpam-4128	477	14	a	a	DET
ejpam-4128	477	15	b	b	NOUN
ejpam-4128	477	16	c	c	NOUN
ejpam-4128	477	17	d	d	NOUN
ejpam-4128	477	18	a	a	DET
ejpam-4128	477	19	b	b	NOUN
ejpam-4128	477	20	c	c	NOUN
ejpam-4128	477	21	d	d	NOUN
ejpam-4128	477	22	a	a	PRON
ejpam-4128	477	23	b	b	NOUN
ejpam-4128	477	24	c	c	NOUN
ejpam-4128	477	25	d	d	NOUN
ejpam-4128	477	26	akiva	akiva	ADJ
ejpam-4128	477	27	9	9	NUM
ejpam-4128	477	28	23	23	NUM
ejpam-4128	477	29	17	17	NUM
ejpam-4128	477	30	0.02	0.02	NUM
ejpam-4128	477	31	8	8	NUM
ejpam-4128	477	32	20	20	NUM
ejpam-4128	477	33	15	15	NUM
ejpam-4128	477	34	0.02	0.02	NUM
ejpam-4128	477	35	10	10	NUM
ejpam-4128	477	36	21	21	NUM
ejpam-4128	477	37	11	11	NUM
ejpam-4128	477	38	0.02	0.02	NUM
ejpam-4128	477	39	8	8	NUM
ejpam-4128	477	40	20	20	NUM
ejpam-4128	477	41	15	15	NUM
ejpam-4128	477	42	0.02	0.02	NUM
ejpam-4128	477	43	allinitu	allinitu	NOUN
ejpam-4128	477	44	9	9	NUM
ejpam-4128	477	45	23	23	NUM
ejpam-4128	477	46	16	16	NUM
ejpam-4128	477	47	0.02	0.02	NUM
ejpam-4128	477	48	9	9	NUM
ejpam-4128	477	49	25	25	NUM
ejpam-4128	477	50	18	18	NUM
ejpam-4128	477	51	0.02	0.02	NUM
ejpam-4128	477	52	12	12	NUM
ejpam-4128	477	53	29	29	NUM
ejpam-4128	477	54	18	18	NUM
ejpam-4128	477	55	0.02	0.02	NUM
ejpam-4128	477	56	9	9	NUM
ejpam-4128	477	57	25	25	NUM
ejpam-4128	477	58	18	18	NUM
ejpam-4128	477	59	0.03	0.03	NUM
ejpam-4128	477	60	arglinb	arglinb	NOUN
ejpam-4128	477	61	4	4	NUM
ejpam-4128	477	62	71	71	NUM
ejpam-4128	477	63	70	70	NUM
ejpam-4128	477	64	0.06	0.06	NUM
ejpam-4128	477	65	2	2	NUM
ejpam-4128	477	66	101	101	NUM
ejpam-4128	477	67	101	101	NUM
ejpam-4128	477	68	0.06	0.06	NUM
ejpam-4128	477	69	5	5	NUM
ejpam-4128	477	70	13	13	NUM
ejpam-4128	477	71	13	13	NUM
ejpam-4128	477	72	0.02	0.02	NUM
ejpam-4128	477	73	5	5	NUM
ejpam-4128	477	74	73	73	NUM
ejpam-4128	477	75	72	72	NUM
ejpam-4128	477	76	0.09	0.09	NUM
ejpam-4128	477	77	arglinc	arglinc	NOUN
ejpam-4128	477	78	3	3	NUM
ejpam-4128	477	79	33	33	NUM
ejpam-4128	477	80	32	32	NUM
ejpam-4128	477	81	0.05	0.05	NUM
ejpam-4128	477	82	2	2	NUM
ejpam-4128	477	83	98	98	NUM
ejpam-4128	477	84	98	98	NUM
ejpam-4128	477	85	0.08	0.08	NUM
ejpam-4128	477	86	11	11	NUM
ejpam-4128	477	87	106	106	NUM
ejpam-4128	477	88	110	110	NUM
ejpam-4128	477	89	0.02	0.02	NUM
ejpam-4128	477	90	5	5	NUM
ejpam-4128	477	91	79	79	NUM
ejpam-4128	477	92	78	78	NUM
ejpam-4128	477	93	0.06	0.06	NUM
ejpam-4128	477	94	bard	bard	ADJ
ejpam-4128	477	95	11	11	NUM
ejpam-4128	477	96	29	29	NUM
ejpam-4128	477	97	21	21	NUM
ejpam-4128	477	98	0.02	0.02	NUM
ejpam-4128	477	99	12	12	NUM
ejpam-4128	477	100	32	32	NUM
ejpam-4128	477	101	22	22	NUM
ejpam-4128	477	102	0.02	0.02	NUM
ejpam-4128	477	103	16	16	NUM
ejpam-4128	477	104	33	33	NUM
ejpam-4128	477	105	17	17	NUM
ejpam-4128	477	106	0.02	0.02	NUM
ejpam-4128	477	107	12	12	NUM
ejpam-4128	477	108	32	32	NUM
ejpam-4128	477	109	22	22	NUM
ejpam-4128	477	110	0.02	0.02	NUM
ejpam-4128	477	111	bdexp	bdexp	NOUN
ejpam-4128	477	112	2	2	NUM
ejpam-4128	477	113	8	8	NUM
ejpam-4128	477	114	8	8	NUM
ejpam-4128	477	115	0.02	0.02	NUM
ejpam-4128	477	116	2	2	NUM
ejpam-4128	477	117	7	7	NUM
ejpam-4128	477	118	7	7	NUM
ejpam-4128	477	119	0.02	0.02	NUM
ejpam-4128	477	120	5	5	NUM
ejpam-4128	477	121	11	11	NUM
ejpam-4128	477	122	6	6	NUM
ejpam-4128	477	123	0.02	0.02	NUM
ejpam-4128	477	124	2	2	NUM
ejpam-4128	477	125	7	7	NUM
ejpam-4128	477	126	7	7	NUM
ejpam-4128	477	127	0.02	0.02	NUM
ejpam-4128	477	128	bdqrtic	bdqrtic	ADJ
ejpam-4128	477	129	113	113	NUM
ejpam-4128	477	130	236	236	NUM
ejpam-4128	477	131	203	203	NUM
ejpam-4128	477	132	0.52	0.52	NUM
ejpam-4128	477	133	154	154	NUM
ejpam-4128	477	134	310	310	NUM
ejpam-4128	477	135	302	302	NUM
ejpam-4128	477	136	0.65	0.65	NUM
ejpam-4128	477	137	136	136	NUM
ejpam-4128	477	138	273	273	NUM
ejpam-4128	477	139	237	237	NUM
ejpam-4128	477	140	0.52	0.52	NUM
ejpam-4128	477	141	168	168	NUM
ejpam-4128	477	142	363	363	NUM
ejpam-4128	477	143	359	359	NUM
ejpam-4128	477	144	0.63	0.63	NUM
ejpam-4128	477	145	beale	beale	NOUN
ejpam-4128	477	146	13	13	NUM
ejpam-4128	477	147	34	34	NUM
ejpam-4128	477	148	24	24	NUM
ejpam-4128	477	149	0.02	0.02	NUM
ejpam-4128	477	150	11	11	NUM
ejpam-4128	477	151	33	33	NUM
ejpam-4128	477	152	26	26	NUM
ejpam-4128	477	153	0.02	0.02	NUM
ejpam-4128	477	154	15	15	NUM
ejpam-4128	477	155	31	31	NUM
ejpam-4128	477	156	16	16	NUM
ejpam-4128	477	157	0.02	0.02	NUM
ejpam-4128	477	158	11	11	NUM
ejpam-4128	477	159	33	33	NUM
ejpam-4128	477	160	26	26	NUM
ejpam-4128	477	161	0.02	0.02	NUM
ejpam-4128	477	162	biggs3	biggs3	NOUN
ejpam-4128	477	163	80	80	NUM
ejpam-4128	477	164	190	190	NUM
ejpam-4128	477	165	124	124	NUM
ejpam-4128	477	166	0.02	0.02	NUM
ejpam-4128	477	167	79	79	NUM
ejpam-4128	477	168	207	207	NUM
ejpam-4128	477	169	144	144	NUM
ejpam-4128	477	170	0.02	0.02	NUM
ejpam-4128	477	171	110	110	NUM
ejpam-4128	477	172	231	231	NUM
ejpam-4128	477	173	125	125	NUM
ejpam-4128	477	174	0.02	0.02	NUM
ejpam-4128	477	175	79	79	NUM
ejpam-4128	477	176	207	207	NUM
ejpam-4128	477	177	144	144	NUM
ejpam-4128	477	178	0.02	0.02	NUM
ejpam-4128	477	179	biggs5	biggs5	NOUN
ejpam-4128	477	180	80	80	NUM
ejpam-4128	477	181	190	190	NUM
ejpam-4128	477	182	124	124	NUM
ejpam-4128	477	183	0.02	0.02	NUM
ejpam-4128	477	184	79	79	NUM
ejpam-4128	477	185	207	207	NUM
ejpam-4128	477	186	144	144	NUM
ejpam-4128	477	187	0.02	0.02	NUM
ejpam-4128	477	188	110	110	NUM
ejpam-4128	477	189	231	231	NUM
ejpam-4128	477	190	125	125	NUM
ejpam-4128	477	191	0.02	0.02	NUM
ejpam-4128	477	192	79	79	NUM
ejpam-4128	477	193	207	207	NUM
ejpam-4128	477	194	144	144	NUM
ejpam-4128	477	195	0.02	0.02	NUM
ejpam-4128	477	196	biggs6	biggs6	NOUN
ejpam-4128	477	197	23	23	NUM
ejpam-4128	477	198	57	57	NUM
ejpam-4128	477	199	39	39	NUM
ejpam-4128	477	200	0.02	0.02	NUM
ejpam-4128	477	201	24	24	NUM
ejpam-4128	477	202	64	64	NUM
ejpam-4128	477	203	44	44	NUM
ejpam-4128	477	204	0.02	0.02	NUM
ejpam-4128	477	205	27	27	NUM
ejpam-4128	477	206	57	57	NUM
ejpam-4128	477	207	31	31	NUM
ejpam-4128	477	208	0.02	0.02	NUM
ejpam-4128	477	209	24	24	NUM
ejpam-4128	477	210	64	64	NUM
ejpam-4128	477	211	44	44	NUM
ejpam-4128	477	212	0.02	0.02	NUM
ejpam-4128	477	213	box2	box2	NOUN
ejpam-4128	477	214	9	9	NUM
ejpam-4128	477	215	21	21	NUM
ejpam-4128	477	216	13	13	NUM
ejpam-4128	477	217	0.02	0.02	NUM
ejpam-4128	477	218	10	10	NUM
ejpam-4128	477	219	23	23	NUM
ejpam-4128	477	220	14	14	NUM
ejpam-4128	477	221	0.02	0.02	NUM
ejpam-4128	477	222	11	11	NUM
ejpam-4128	477	223	24	24	NUM
ejpam-4128	477	224	13	13	NUM
ejpam-4128	477	225	0.02	0.02	NUM
ejpam-4128	477	226	10	10	NUM
ejpam-4128	477	227	23	23	NUM
ejpam-4128	477	228	14	14	NUM
ejpam-4128	477	229	0.02	0.02	NUM
ejpam-4128	477	230	box3	box3	NOUN
ejpam-4128	477	231	9	9	NUM
ejpam-4128	477	232	21	21	NUM
ejpam-4128	477	233	13	13	NUM
ejpam-4128	477	234	0.02	0.02	NUM
ejpam-4128	477	235	10	10	NUM
ejpam-4128	477	236	23	23	NUM
ejpam-4128	477	237	14	14	NUM
ejpam-4128	477	238	0.02	0.02	NUM
ejpam-4128	477	239	11	11	NUM
ejpam-4128	477	240	24	24	NUM
ejpam-4128	477	241	13	13	NUM
ejpam-4128	477	242	0.02	0.02	NUM
ejpam-4128	477	243	10	10	NUM
ejpam-4128	477	244	23	23	NUM
ejpam-4128	477	245	14	14	NUM
ejpam-4128	477	246	0.02	0.02	NUM
ejpam-4128	477	247	brkmcc	brkmcc	NOUN
ejpam-4128	477	248	5	5	NUM
ejpam-4128	477	249	11	11	NUM
ejpam-4128	477	250	6	6	NUM
ejpam-4128	477	251	0.02	0.02	NUM
ejpam-4128	477	252	5	5	NUM
ejpam-4128	477	253	11	11	NUM
ejpam-4128	477	254	6	6	NUM
ejpam-4128	477	255	0.02	0.02	NUM
ejpam-4128	477	256	5	5	NUM
ejpam-4128	477	257	11	11	NUM
ejpam-4128	477	258	6	6	NUM
ejpam-4128	477	259	0.02	0.02	NUM
ejpam-4128	477	260	5	5	NUM
ejpam-4128	477	261	11	11	NUM
ejpam-4128	477	262	6	6	NUM
ejpam-4128	477	263	0.02	0.02	NUM
ejpam-4128	477	264	brownal	brownal	ADJ
ejpam-4128	477	265	6	6	NUM
ejpam-4128	477	266	17	17	NUM
ejpam-4128	477	267	13	13	NUM
ejpam-4128	477	268	0.02	0.02	NUM
ejpam-4128	477	269	8	8	NUM
ejpam-4128	477	270	19	19	NUM
ejpam-4128	477	271	12	12	NUM
ejpam-4128	477	272	0.02	0.02	NUM
ejpam-4128	477	273	9	9	NUM
ejpam-4128	477	274	25	25	NUM
ejpam-4128	477	275	18	18	NUM
ejpam-4128	477	276	0.02	0.02	NUM
ejpam-4128	477	277	10	10	NUM
ejpam-4128	477	278	29	29	NUM
ejpam-4128	477	279	21	21	NUM
ejpam-4128	477	280	0.02	0.02	NUM
ejpam-4128	477	281	brownbs	brownbs	ADP
ejpam-4128	477	282	11	11	NUM
ejpam-4128	477	283	26	26	NUM
ejpam-4128	477	284	17	17	NUM
ejpam-4128	477	285	0.02	0.02	NUM
ejpam-4128	477	286	10	10	NUM
ejpam-4128	477	287	24	24	NUM
ejpam-4128	477	288	18	18	NUM
ejpam-4128	477	289	0.02	0.02	NUM
ejpam-4128	477	290	13	13	NUM
ejpam-4128	477	291	26	26	NUM
ejpam-4128	477	292	15	15	NUM
ejpam-4128	477	293	0.02	0.02	NUM
ejpam-4128	477	294	10	10	NUM
ejpam-4128	477	295	24	24	NUM
ejpam-4128	477	296	18	18	NUM
ejpam-4128	477	297	0.02	0.02	NUM
ejpam-4128	477	298	brownden	brownden	NOUN
ejpam-4128	477	299	16	16	NUM
ejpam-4128	477	300	36	36	NUM
ejpam-4128	477	301	26	26	NUM
ejpam-4128	477	302	0.02	0.02	NUM
ejpam-4128	477	303	16	16	NUM
ejpam-4128	477	304	38	38	NUM
ejpam-4128	477	305	31	31	NUM
ejpam-4128	477	306	0.02	0.02	NUM
ejpam-4128	477	307	16	16	NUM
ejpam-4128	477	308	31	31	NUM
ejpam-4128	477	309	19	19	NUM
ejpam-4128	477	310	0.02	0.02	NUM
ejpam-4128	477	311	16	16	NUM
ejpam-4128	477	312	38	38	NUM
ejpam-4128	477	313	31	31	NUM
ejpam-4128	477	314	0.02	0.02	NUM
ejpam-4128	477	315	broydn7d	broydn7d	VERB
ejpam-4128	477	316	59	59	NUM
ejpam-4128	477	317	108	108	NUM
ejpam-4128	477	318	81	81	NUM
ejpam-4128	477	319	0.37	0.37	NUM
ejpam-4128	477	320	54	54	NUM
ejpam-4128	477	321	100	100	NUM
ejpam-4128	477	322	76	76	NUM
ejpam-4128	477	323	0.26	0.26	NUM
ejpam-4128	477	324	1411	1411	NUM
ejpam-4128	477	325	2810	2810	NUM
ejpam-4128	477	326	1429	1429	NUM
ejpam-4128	477	327	5.22	5.22	NUM
ejpam-4128	477	328	75	75	NUM
ejpam-4128	477	329	138	138	NUM
ejpam-4128	477	330	112	112	NUM
ejpam-4128	477	331	0.36	0.36	NUM
ejpam-4128	477	332	brybnd	brybnd	NOUN
ejpam-4128	477	333	35	35	NUM
ejpam-4128	477	334	98	98	NUM
ejpam-4128	477	335	72	72	NUM
ejpam-4128	477	336	0.22	0.22	NUM
ejpam-4128	477	337	32	32	NUM
ejpam-4128	477	338	86	86	NUM
ejpam-4128	477	339	62	62	NUM
ejpam-4128	477	340	0.15	0.15	NUM
ejpam-4128	477	341	85	85	NUM
ejpam-4128	477	342	174	174	NUM
ejpam-4128	477	343	90	90	NUM
ejpam-4128	477	344	0.28	0.28	NUM
ejpam-4128	477	345	149	149	NUM
ejpam-4128	477	346	317	317	NUM
ejpam-4128	477	347	174	174	NUM
ejpam-4128	477	348	0.55	0.55	NUM
ejpam-4128	477	349	camel6	camel6	NOUN
ejpam-4128	477	350	7	7	NUM
ejpam-4128	477	351	27	27	NUM
ejpam-4128	477	352	22	22	NUM
ejpam-4128	477	353	0.02	0.02	NUM
ejpam-4128	477	354	6	6	NUM
ejpam-4128	477	355	22	22	NUM
ejpam-4128	477	356	18	18	NUM
ejpam-4128	477	357	0.02	0.02	NUM
ejpam-4128	477	358	13	13	NUM
ejpam-4128	477	359	34	34	NUM
ejpam-4128	477	360	22	22	NUM
ejpam-4128	477	361	0.02	0.02	NUM
ejpam-4128	477	362	6	6	NUM
ejpam-4128	477	363	22	22	NUM
ejpam-4128	477	364	18	18	NUM
ejpam-4128	477	365	0.02	0.02	NUM
ejpam-4128	477	366	chnrosnb	chnrosnb	ADJ
ejpam-4128	477	367	267	267	NUM
ejpam-4128	477	368	523	523	NUM
ejpam-4128	477	369	310	310	NUM
ejpam-4128	477	370	0.02	0.02	NUM
ejpam-4128	477	371	299	299	NUM
ejpam-4128	477	372	590	590	NUM
ejpam-4128	477	373	343	343	NUM
ejpam-4128	477	374	0.02	0.02	NUM
ejpam-4128	477	375	287	287	NUM
ejpam-4128	477	376	564	564	NUM
ejpam-4128	477	377	299	299	NUM
ejpam-4128	477	378	0.02	0.02	NUM
ejpam-4128	477	379	1009	1009	NUM
ejpam-4128	477	380	1998	1998	NUM
ejpam-4128	477	381	1180	1180	NUM
ejpam-4128	477	382	0.01	0.01	NUM
ejpam-4128	477	383	cliff	cliff	NOUN
ejpam-4128	477	384	6	6	NUM
ejpam-4128	477	385	45	45	NUM
ejpam-4128	477	386	37	37	NUM
ejpam-4128	477	387	0.02	0.02	NUM
ejpam-4128	477	388	10	10	NUM
ejpam-4128	477	389	46	46	NUM
ejpam-4128	477	390	39	39	NUM
ejpam-4128	477	391	0.02	0.02	NUM
ejpam-4128	477	392	18	18	NUM
ejpam-4128	477	393	70	70	NUM
ejpam-4128	477	394	54	54	NUM
ejpam-4128	477	395	0.02	0.02	NUM
ejpam-4128	477	396	10	10	NUM
ejpam-4128	477	397	46	46	NUM
ejpam-4128	477	398	39	39	NUM
ejpam-4128	477	399	0.01	0.01	NUM
ejpam-4128	477	400	cube	cube	NOUN
ejpam-4128	477	401	15	15	NUM
ejpam-4128	477	402	46	46	NUM
ejpam-4128	477	403	38	38	NUM
ejpam-4128	477	404	0.02	0.02	NUM
ejpam-4128	477	405	17	17	NUM
ejpam-4128	477	406	48	48	NUM
ejpam-4128	477	407	34	34	NUM
ejpam-4128	477	408	0.02	0.02	NUM
ejpam-4128	477	409	32	32	NUM
ejpam-4128	477	410	77	77	NUM
ejpam-4128	477	411	47	47	NUM
ejpam-4128	477	412	0.02	0.02	NUM
ejpam-4128	477	413	17	17	NUM
ejpam-4128	477	414	48	48	NUM
ejpam-4128	477	415	34	34	NUM
ejpam-4128	477	416	0.02	0.02	NUM
ejpam-4128	477	417	denschna	denschna	NOUN
ejpam-4128	477	418	6	6	NUM
ejpam-4128	477	419	16	16	NUM
ejpam-4128	477	420	12	12	NUM
ejpam-4128	477	421	0.02	0.02	NUM
ejpam-4128	477	422	6	6	NUM
ejpam-4128	477	423	16	16	NUM
ejpam-4128	477	424	12	12	NUM
ejpam-4128	477	425	0.02	0.02	NUM
ejpam-4128	477	426	9	9	NUM
ejpam-4128	477	427	19	19	NUM
ejpam-4128	477	428	10	10	NUM
ejpam-4128	477	429	0.02	0.02	NUM
ejpam-4128	477	430	6	6	NUM
ejpam-4128	477	431	16	16	NUM
ejpam-4128	477	432	12	12	NUM
ejpam-4128	477	433	0.02	0.02	NUM
ejpam-4128	477	434	denschnb	denschnb	NOUN
ejpam-4128	477	435	6	6	NUM
ejpam-4128	477	436	18	18	NUM
ejpam-4128	477	437	15	15	NUM
ejpam-4128	477	438	0.02	0.02	NUM
ejpam-4128	477	439	6	6	NUM
ejpam-4128	477	440	18	18	NUM
ejpam-4128	477	441	15	15	NUM
ejpam-4128	477	442	0.02	0.02	NUM
ejpam-4128	477	443	7	7	NUM
ejpam-4128	477	444	15	15	NUM
ejpam-4128	477	445	8	8	NUM
ejpam-4128	477	446	0.02	0.02	NUM
ejpam-4128	477	447	6	6	NUM
ejpam-4128	477	448	18	18	NUM
ejpam-4128	477	449	15	15	NUM
ejpam-4128	477	450	0.02	0.02	NUM
ejpam-4128	477	451	denschnc	denschnc	ADJ
ejpam-4128	477	452	15	15	NUM
ejpam-4128	477	453	44	44	NUM
ejpam-4128	477	454	36	36	NUM
ejpam-4128	477	455	0.02	0.02	NUM
ejpam-4128	477	456	11	11	NUM
ejpam-4128	477	457	36	36	NUM
ejpam-4128	477	458	31	31	NUM
ejpam-4128	477	459	0.02	0.02	NUM
ejpam-4128	477	460	12	12	NUM
ejpam-4128	477	461	26	26	NUM
ejpam-4128	477	462	14	14	NUM
ejpam-4128	477	463	0.02	0.02	NUM
ejpam-4128	477	464	11	11	NUM
ejpam-4128	477	465	36	36	NUM
ejpam-4128	477	466	31	31	NUM
ejpam-4128	477	467	0.02	0.02	NUM
ejpam-4128	477	468	denschnd	denschnd	VERB
ejpam-4128	477	469	15	15	NUM
ejpam-4128	477	470	50	50	NUM
ejpam-4128	477	471	44	44	NUM
ejpam-4128	477	472	0.02	0.02	NUM
ejpam-4128	477	473	14	14	NUM
ejpam-4128	477	474	46	46	NUM
ejpam-4128	477	475	40	40	NUM
ejpam-4128	477	476	0.02	0.02	NUM
ejpam-4128	477	477	47	47	NUM
ejpam-4128	477	478	98	98	NUM
ejpam-4128	477	479	51	51	NUM
ejpam-4128	477	480	0.02	0.02	NUM
ejpam-4128	477	481	14	14	NUM
ejpam-4128	477	482	46	46	NUM
ejpam-4128	477	483	40	40	NUM
ejpam-4128	477	484	0.02	0.02	NUM
ejpam-4128	477	485	denschne	denschne	NOUN
ejpam-4128	477	486	13	13	NUM
ejpam-4128	477	487	42	42	NUM
ejpam-4128	477	488	35	35	NUM
ejpam-4128	477	489	0.02	0.02	NUM
ejpam-4128	477	490	12	12	NUM
ejpam-4128	477	491	43	43	NUM
ejpam-4128	477	492	38	38	NUM
ejpam-4128	477	493	0.02	0.02	NUM
ejpam-4128	477	494	18	18	NUM
ejpam-4128	477	495	49	49	NUM
ejpam-4128	477	496	32	32	NUM
ejpam-4128	477	497	0.02	0.02	NUM
ejpam-4128	477	498	12	12	NUM
ejpam-4128	477	499	43	43	NUM
ejpam-4128	477	500	38	38	NUM
ejpam-4128	477	501	0.02	0.02	NUM
ejpam-4128	477	502	appendix	appendix	NOUN
ejpam-4128	477	503	1452	1452	NUM
ejpam-4128	477	504	ftcgls	ftcgls	NOUN
ejpam-4128	477	505	ftcghs	ftcgh	NOUN
ejpam-4128	477	506	cgdescent	cgdescent	PROPN
ejpam-4128	477	507	dl+	dl+	PROPN
ejpam-4128	477	508	denschnf	denschnf	PROPN
ejpam-4128	477	509	10	10	NUM
ejpam-4128	477	510	30	30	NUM
ejpam-4128	477	511	24	24	NUM
ejpam-4128	477	512	0.02	0.02	NUM
ejpam-4128	477	513	9	9	NUM
ejpam-4128	477	514	31	31	NUM
ejpam-4128	477	515	26	26	NUM
ejpam-4128	477	516	0.02	0.02	NUM
ejpam-4128	477	517	8	8	NUM
ejpam-4128	477	518	17	17	NUM
ejpam-4128	477	519	9	9	NUM
ejpam-4128	477	520	0.02	0.02	NUM
ejpam-4128	477	521	9	9	NUM
ejpam-4128	477	522	31	31	NUM
ejpam-4128	477	523	26	26	NUM
ejpam-4128	477	524	0.02	0.02	NUM
ejpam-4128	477	525	dixmaana	dixmaana	NOUN
ejpam-4128	477	526	6	6	NUM
ejpam-4128	477	527	16	16	NUM
ejpam-4128	477	528	13	13	NUM
ejpam-4128	477	529	0.02	0.02	NUM
ejpam-4128	477	530	8	8	NUM
ejpam-4128	477	531	19	19	NUM
ejpam-4128	477	532	13	13	NUM
ejpam-4128	477	533	0.02	0.02	NUM
ejpam-4128	477	534	7	7	NUM
ejpam-4128	477	535	15	15	NUM
ejpam-4128	477	536	8	8	NUM
ejpam-4128	477	537	0.02	0.02	NUM
ejpam-4128	477	538	6	6	NUM
ejpam-4128	477	539	15	15	NUM
ejpam-4128	477	540	11	11	NUM
ejpam-4128	477	541	0.02	0.02	NUM
ejpam-4128	477	542	dixmaanb	dixmaanb	PROPN
ejpam-4128	477	543	7	7	NUM
ejpam-4128	477	544	16	16	NUM
ejpam-4128	477	545	10	10	NUM
ejpam-4128	477	546	0.02	0.02	NUM
ejpam-4128	477	547	19	19	NUM
ejpam-4128	477	548	111	111	NUM
ejpam-4128	477	549	110	110	NUM
ejpam-4128	477	550	0.05	0.05	NUM
ejpam-4128	477	551	6	6	NUM
ejpam-4128	477	552	13	13	NUM
ejpam-4128	477	553	7	7	NUM
ejpam-4128	477	554	0.02	0.02	NUM
ejpam-4128	477	555	6	6	NUM
ejpam-4128	477	556	15	15	NUM
ejpam-4128	477	557	11	11	NUM
ejpam-4128	477	558	0.02	0.02	NUM
ejpam-4128	477	559	dixmaanc	dixmaanc	PROPN
ejpam-4128	477	560	6	6	NUM
ejpam-4128	477	561	14	14	NUM
ejpam-4128	477	562	9	9	NUM
ejpam-4128	477	563	0.02	0.02	NUM
ejpam-4128	477	564	20	20	NUM
ejpam-4128	477	565	135	135	NUM
ejpam-4128	477	566	134	134	NUM
ejpam-4128	477	567	0.09	0.09	NUM
ejpam-4128	477	568	6	6	NUM
ejpam-4128	477	569	13	13	NUM
ejpam-4128	477	570	7	7	NUM
ejpam-4128	477	571	0.02	0.02	NUM
ejpam-4128	477	572	6	6	NUM
ejpam-4128	477	573	14	14	NUM
ejpam-4128	477	574	9	9	NUM
ejpam-4128	477	575	0.02	0.02	NUM
ejpam-4128	477	576	dixmaand	dixmaand	NOUN
ejpam-4128	477	577	8	8	NUM
ejpam-4128	477	578	20	20	NUM
ejpam-4128	477	579	14	14	NUM
ejpam-4128	477	580	0.02	0.02	NUM
ejpam-4128	477	581	26	26	NUM
ejpam-4128	477	582	153	153	NUM
ejpam-4128	477	583	148	148	NUM
ejpam-4128	477	584	0.08	0.08	NUM
ejpam-4128	477	585	7	7	NUM
ejpam-4128	477	586	15	15	NUM
ejpam-4128	477	587	8	8	NUM
ejpam-4128	477	588	0.02	0.02	NUM
ejpam-4128	477	589	7	7	NUM
ejpam-4128	477	590	17	17	NUM
ejpam-4128	477	591	12	12	NUM
ejpam-4128	477	592	0.02	0.02	NUM
ejpam-4128	477	593	dixmaane	dixmaane	NOUN
ejpam-4128	477	594	251	251	NUM
ejpam-4128	477	595	279	279	NUM
ejpam-4128	477	596	482	482	NUM
ejpam-4128	477	597	0.28	0.28	NUM
ejpam-4128	477	598	254	254	NUM
ejpam-4128	477	599	286	286	NUM
ejpam-4128	477	600	481	481	NUM
ejpam-4128	477	601	0.28	0.28	NUM
ejpam-4128	477	602	222	222	NUM
ejpam-4128	477	603	239	239	NUM
ejpam-4128	477	604	429	429	NUM
ejpam-4128	477	605	0.23	0.23	NUM
ejpam-4128	477	606	394	394	NUM
ejpam-4128	477	607	428	428	NUM
ejpam-4128	477	608	764	764	NUM
ejpam-4128	477	609	0.5	0.5	NUM
ejpam-4128	477	610	dixmaanf	dixmaanf	NOUN
ejpam-4128	477	611	171	171	NUM
ejpam-4128	477	612	347	347	NUM
ejpam-4128	477	613	179	179	NUM
ejpam-4128	477	614	0.16	0.16	NUM
ejpam-4128	477	615	174	174	NUM
ejpam-4128	477	616	352	352	NUM
ejpam-4128	477	617	179	179	NUM
ejpam-4128	477	618	0.16	0.16	NUM
ejpam-4128	477	619	161	161	NUM
ejpam-4128	477	620	323	323	NUM
ejpam-4128	477	621	162	162	NUM
ejpam-4128	477	622	0.17	0.17	NUM
ejpam-4128	477	623	247	247	NUM
ejpam-4128	477	624	499	499	NUM
ejpam-4128	477	625	255	255	NUM
ejpam-4128	477	626	0.27	0.27	NUM
ejpam-4128	477	627	dixmaang	dixmaang	NOUN
ejpam-4128	477	628	165	165	NUM
ejpam-4128	477	629	334	334	NUM
ejpam-4128	477	630	171	171	NUM
ejpam-4128	477	631	0.16	0.16	NUM
ejpam-4128	477	632	165	165	NUM
ejpam-4128	477	633	336	336	NUM
ejpam-4128	477	634	174	174	NUM
ejpam-4128	477	635	0.22	0.22	NUM
ejpam-4128	477	636	157	157	NUM
ejpam-4128	477	637	315	315	NUM
ejpam-4128	477	638	158	158	NUM
ejpam-4128	477	639	0.12	0.12	NUM
ejpam-4128	477	640	348	348	NUM
ejpam-4128	477	641	701	701	NUM
ejpam-4128	477	642	356	356	NUM
ejpam-4128	477	643	0.38	0.38	NUM
ejpam-4128	477	644	dixmaanh	dixmaanh	NOUN
ejpam-4128	477	645	152	152	NUM
ejpam-4128	477	646	311	311	NUM
ejpam-4128	477	647	163	163	NUM
ejpam-4128	477	648	0.13	0.13	NUM
ejpam-4128	477	649	162	162	NUM
ejpam-4128	477	650	334	334	NUM
ejpam-4128	477	651	177	177	NUM
ejpam-4128	477	652	0.14	0.14	NUM
ejpam-4128	477	653	173	173	NUM
ejpam-4128	477	654	347	347	NUM
ejpam-4128	477	655	174	174	NUM
ejpam-4128	477	656	0.2	0.2	NUM
ejpam-4128	477	657	332	332	NUM
ejpam-4128	477	658	671	671	NUM
ejpam-4128	477	659	343	343	NUM
ejpam-4128	477	660	0.45	0.45	NUM
ejpam-4128	477	661	dixmaani	dixmaani	NOUN
ejpam-4128	477	662	2856	2856	NUM
ejpam-4128	477	663	2917	2917	NUM
ejpam-4128	477	664	5659	5659	NUM
ejpam-4128	477	665	3.19	3.19	NUM
ejpam-4128	477	666	2811	2811	NUM
ejpam-4128	477	667	2893	2893	NUM
ejpam-4128	477	668	5548	5548	NUM
ejpam-4128	477	669	3.63	3.63	NUM
ejpam-4128	477	670	3856	3856	NUM
ejpam-4128	477	671	3926	3926	NUM
ejpam-4128	477	672	7644	7644	NUM
ejpam-4128	477	673	4.09	4.09	NUM
ejpam-4128	477	674	3522	3522	NUM
ejpam-4128	477	675	3623	3623	NUM
ejpam-4128	477	676	6953	6953	NUM
ejpam-4128	477	677	4.66	4.66	NUM
ejpam-4128	477	678	dixon3dq	dixon3dq	PROPN
ejpam-4128	477	679	10000	10000	NUM
ejpam-4128	477	680	10007	10007	NUM
ejpam-4128	477	681	19995	19995	NUM
ejpam-4128	477	682	20.3	20.3	NUM
ejpam-4128	477	683	10000	10000	NUM
ejpam-4128	477	684	10007	10007	NUM
ejpam-4128	477	685	19995	19995	NUM
ejpam-4128	477	686	20.3	20.3	NUM
ejpam-4128	477	687	10000	10000	NUM
ejpam-4128	477	688	10007	10007	NUM
ejpam-4128	477	689	19995	19995	NUM
ejpam-4128	477	690	19.48	19.48	NUM
ejpam-4128	477	691	15258	15258	NUM
ejpam-4128	477	692	15265	15265	NUM
ejpam-4128	477	693	30511	30511	NUM
ejpam-4128	477	694	37.63	37.63	NUM
ejpam-4128	477	695	djtl	djtl	NOUN
ejpam-4128	477	696	93	93	NUM
ejpam-4128	477	697	1469	1469	NUM
ejpam-4128	477	698	1446	1446	NUM
ejpam-4128	477	699	0.02	0.02	NUM
ejpam-4128	477	700	75	75	NUM
ejpam-4128	477	701	1163	1163	NUM
ejpam-4128	477	702	1148	1148	NUM
ejpam-4128	477	703	0.02	0.02	NUM
ejpam-4128	477	704	82	82	NUM
ejpam-4128	477	705	917	917	NUM
ejpam-4128	477	706	880	880	NUM
ejpam-4128	477	707	0.02	0.02	NUM
ejpam-4128	477	708	75	75	NUM
ejpam-4128	477	709	1163	1163	NUM
ejpam-4128	477	710	1148	1148	NUM
ejpam-4128	477	711	0.02	0.02	NUM
ejpam-4128	477	712	dqdrtic	dqdrtic	ADJ
ejpam-4128	477	713	5	5	NUM
ejpam-4128	477	714	11	11	NUM
ejpam-4128	477	715	6	6	NUM
ejpam-4128	477	716	0.02	0.02	NUM
ejpam-4128	477	717	5	5	NUM
ejpam-4128	477	718	11	11	NUM
ejpam-4128	477	719	6	6	NUM
ejpam-4128	477	720	0.02	0.02	NUM
ejpam-4128	477	721	5	5	NUM
ejpam-4128	477	722	11	11	NUM
ejpam-4128	477	723	6	6	NUM
ejpam-4128	477	724	0.02	0.02	NUM
ejpam-4128	477	725	15	15	NUM
ejpam-4128	477	726	32	32	NUM
ejpam-4128	477	727	18	18	NUM
ejpam-4128	477	728	0.02	0.02	NUM
ejpam-4128	477	729	eckerle4ls.sif	eckerle4ls.sif	NOUN
ejpam-4128	477	730	3	3	NUM
ejpam-4128	477	731	7	7	NUM
ejpam-4128	477	732	4	4	NUM
ejpam-4128	477	733	0.02	0.02	NUM
ejpam-4128	477	734	2	2	NUM
ejpam-4128	477	735	6	6	NUM
ejpam-4128	477	736	4	4	NUM
ejpam-4128	477	737	0.02	0.02	NUM
ejpam-4128	477	738	3	3	NUM
ejpam-4128	477	739	7	7	NUM
ejpam-4128	477	740	4	4	NUM
ejpam-4128	477	741	0.02	0.02	NUM
ejpam-4128	477	742	2	2	NUM
ejpam-4128	477	743	6	6	NUM
ejpam-4128	477	744	4	4	NUM
ejpam-4128	477	745	0.02	0.02	NUM
ejpam-4128	477	746	edensch	edensch	PROPN
ejpam-4128	477	747	26	26	NUM
ejpam-4128	477	748	59	59	NUM
ejpam-4128	477	749	50	50	NUM
ejpam-4128	477	750	0.05	0.05	NUM
ejpam-4128	477	751	30	30	NUM
ejpam-4128	477	752	81	81	NUM
ejpam-4128	477	753	74	74	NUM
ejpam-4128	477	754	0.05	0.05	NUM
ejpam-4128	477	755	26	26	NUM
ejpam-4128	477	756	52	52	NUM
ejpam-4128	477	757	38	38	NUM
ejpam-4128	477	758	0.02	0.02	NUM
ejpam-4128	477	759	27	27	NUM
ejpam-4128	477	760	66	66	NUM
ejpam-4128	477	761	54	54	NUM
ejpam-4128	477	762	0.03	0.03	NUM
ejpam-4128	477	763	eggcrate	eggcrate	NOUN
ejpam-4128	477	764	6	6	NUM
ejpam-4128	477	765	15	15	NUM
ejpam-4128	477	766	10	10	NUM
ejpam-4128	477	767	0.02	0.02	NUM
ejpam-4128	477	768	6	6	NUM
ejpam-4128	477	769	15	15	NUM
ejpam-4128	477	770	10	10	NUM
ejpam-4128	477	771	0.02	0.02	NUM
ejpam-4128	477	772	6	6	NUM
ejpam-4128	477	773	15	15	NUM
ejpam-4128	477	774	10	10	NUM
ejpam-4128	477	775	0.02	0.02	NUM
ejpam-4128	477	776	6	6	NUM
ejpam-4128	477	777	15	15	NUM
ejpam-4128	477	778	10	10	NUM
ejpam-4128	477	779	0.02	0.02	NUM
ejpam-4128	477	780	eigenals	eigenal	NOUN
ejpam-4128	477	781	7318	7318	NUM
ejpam-4128	477	782	12590	12590	NUM
ejpam-4128	477	783	9382	9382	NUM
ejpam-4128	477	784	155.7	155.7	NUM
ejpam-4128	477	785	10197	10197	NUM
ejpam-4128	477	786	18439	18439	NUM
ejpam-4128	477	787	12170	12170	NUM
ejpam-4128	477	788	172.55	172.55	NUM
ejpam-4128	477	789	10083	10083	NUM
ejpam-4128	477	790	18020	18020	NUM
ejpam-4128	477	791	12244	12244	NUM
ejpam-4128	477	792	172.67	172.67	NUM
ejpam-4128	477	793	9534	9534	NUM
ejpam-4128	477	794	18450	18450	NUM
ejpam-4128	477	795	18540	18540	NUM
ejpam-4128	477	796	185.64	185.64	NUM
ejpam-4128	477	797	engval1	engval1	NOUN
ejpam-4128	477	798	22	22	NUM
ejpam-4128	477	799	48	48	NUM
ejpam-4128	477	800	39	39	NUM
ejpam-4128	477	801	0.06	0.06	NUM
ejpam-4128	477	802	24	24	NUM
ejpam-4128	477	803	53	53	NUM
ejpam-4128	477	804	46	46	NUM
ejpam-4128	477	805	0.08	0.08	NUM
ejpam-4128	477	806	27	27	NUM
ejpam-4128	477	807	50	50	NUM
ejpam-4128	477	808	36	36	NUM
ejpam-4128	477	809	0.06	0.06	NUM
ejpam-4128	477	810	21	21	NUM
ejpam-4128	477	811	48	48	NUM
ejpam-4128	477	812	37	37	NUM
ejpam-4128	477	813	0.06	0.06	NUM
ejpam-4128	477	814	engval2	engval2	NOUN
ejpam-4128	477	815	25	25	NUM
ejpam-4128	477	816	69	69	NUM
ejpam-4128	477	817	52	52	NUM
ejpam-4128	477	818	0.02	0.02	NUM
ejpam-4128	477	819	26	26	NUM
ejpam-4128	477	820	73	73	NUM
ejpam-4128	477	821	55	55	NUM
ejpam-4128	477	822	0.02	0.02	NUM
ejpam-4128	477	823	26	26	NUM
ejpam-4128	477	824	61	61	NUM
ejpam-4128	477	825	37	37	NUM
ejpam-4128	477	826	0.02	0.02	NUM
ejpam-4128	477	827	26	26	NUM
ejpam-4128	477	828	73	73	NUM
ejpam-4128	477	829	55	55	NUM
ejpam-4128	477	830	0.02	0.02	NUM
ejpam-4128	477	831	ensols	ensol	NOUN
ejpam-4128	477	832	21	21	NUM
ejpam-4128	477	833	45	45	NUM
ejpam-4128	477	834	27	27	NUM
ejpam-4128	477	835	0.02	0.02	NUM
ejpam-4128	477	836	22	22	NUM
ejpam-4128	477	837	47	47	NUM
ejpam-4128	477	838	27	27	NUM
ejpam-4128	477	839	0.02	0.02	NUM
ejpam-4128	477	840	23	23	NUM
ejpam-4128	477	841	45	45	NUM
ejpam-4128	477	842	26	26	NUM
ejpam-4128	477	843	0.02	0.02	NUM
ejpam-4128	477	844	22	22	NUM
ejpam-4128	477	845	47	47	NUM
ejpam-4128	477	846	27	27	NUM
ejpam-4128	477	847	0.02	0.02	NUM
ejpam-4128	477	848	expfit	expfit	NOUN
ejpam-4128	477	849	10	10	NUM
ejpam-4128	477	850	29	29	NUM
ejpam-4128	477	851	21	21	NUM
ejpam-4128	477	852	0.02	0.02	NUM
ejpam-4128	477	853	3925	3925	NUM
ejpam-4128	477	854	7575	7575	NUM
ejpam-4128	477	855	5345	5345	NUM
ejpam-4128	477	856	0.11	0.11	NUM
ejpam-4128	477	857	13	13	NUM
ejpam-4128	477	858	29	29	NUM
ejpam-4128	477	859	16	16	NUM
ejpam-4128	477	860	0.02	0.02	NUM
ejpam-4128	477	861	9	9	NUM
ejpam-4128	477	862	29	29	NUM
ejpam-4128	477	863	22	22	NUM
ejpam-4128	477	864	0.02	0.02	NUM
ejpam-4128	477	865	exp2	exp2	NOUN
ejpam-4128	477	866	6	6	NUM
ejpam-4128	477	867	14	14	NUM
ejpam-4128	477	868	8	8	NUM
ejpam-4128	477	869	0.02	0.02	NUM
ejpam-4128	477	870	7	7	NUM
ejpam-4128	477	871	16	16	NUM
ejpam-4128	477	872	9	9	NUM
ejpam-4128	477	873	0.02	0.02	NUM
ejpam-4128	477	874	8	8	NUM
ejpam-4128	477	875	17	17	NUM
ejpam-4128	477	876	9	9	NUM
ejpam-4128	477	877	0.02	0.02	NUM
ejpam-4128	477	878	7	7	NUM
ejpam-4128	477	879	16	16	NUM
ejpam-4128	477	880	9	9	NUM
ejpam-4128	477	881	0.02	0.02	NUM
ejpam-4128	477	882	fbrainls	fbrainls	NOUN
ejpam-4128	477	883	10	10	NUM
ejpam-4128	477	884	29	29	NUM
ejpam-4128	477	885	23	23	NUM
ejpam-4128	477	886	0.03	0.03	NUM
ejpam-4128	477	887	9	9	NUM
ejpam-4128	477	888	27	27	NUM
ejpam-4128	477	889	21	21	NUM
ejpam-4128	477	890	0.03	0.03	NUM
ejpam-4128	477	891	10	10	NUM
ejpam-4128	477	892	23	23	NUM
ejpam-4128	477	893	14	14	NUM
ejpam-4128	477	894	0.02	0.02	NUM
ejpam-4128	477	895	9	9	NUM
ejpam-4128	477	896	27	27	NUM
ejpam-4128	477	897	21	21	NUM
ejpam-4128	477	898	0.02	0.02	NUM
ejpam-4128	477	899	fbrain2ls	fbrain2ls	NOUN
ejpam-4128	477	900	95	95	NUM
ejpam-4128	477	901	285	285	NUM
ejpam-4128	477	902	220	220	NUM
ejpam-4128	477	903	0.58	0.58	NUM
ejpam-4128	477	904	79	79	NUM
ejpam-4128	477	905	259	259	NUM
ejpam-4128	477	906	204	204	NUM
ejpam-4128	477	907	0.47	0.47	NUM
ejpam-4128	477	908	118	118	NUM
ejpam-4128	477	909	339	339	NUM
ejpam-4128	477	910	248	248	NUM
ejpam-4128	477	911	0.66	0.66	NUM
ejpam-4128	477	912	79	79	NUM
ejpam-4128	477	913	259	259	NUM
ejpam-4128	477	914	204	204	NUM
ejpam-4128	477	915	0.47	0.47	NUM
ejpam-4128	477	916	fminsrf2	fminsrf2	NOUN
ejpam-4128	478	1	304	304	NUM
ejpam-4128	478	2	628	628	NUM
ejpam-4128	478	3	332	332	NUM
ejpam-4128	478	4	1.09	1.09	NUM
ejpam-4128	478	5	718	718	NUM
ejpam-4128	478	6	1133	1133	NUM
ejpam-4128	478	7	1771	1771	NUM
ejpam-4128	478	8	3.47	3.47	NUM
ejpam-4128	478	9	346	346	NUM
ejpam-4128	478	10	693	693	NUM
ejpam-4128	478	11	347	347	NUM
ejpam-4128	478	12	0.97	0.97	NUM
ejpam-4128	478	13	733	733	NUM
ejpam-4128	478	14	1545	1545	NUM
ejpam-4128	478	15	826	826	NUM
ejpam-4128	478	16	2.34	2.34	NUM
ejpam-4128	478	17	fminsurf	fminsurf	NOUN
ejpam-4128	478	18	452	452	NUM
ejpam-4128	478	19	925	925	NUM
ejpam-4128	478	20	477	477	NUM
ejpam-4128	478	21	1.59	1.59	NUM
ejpam-4128	478	22	654	654	NUM
ejpam-4128	478	23	905	905	NUM
ejpam-4128	478	24	1248	1248	NUM
ejpam-4128	478	25	2.84	2.84	NUM
ejpam-4128	478	26	473	473	NUM
ejpam-4128	478	27	947	947	NUM
ejpam-4128	478	28	474	474	NUM
ejpam-4128	478	29	1.42	1.42	NUM
ejpam-4128	478	30	1245	1245	NUM
ejpam-4128	478	31	2567	2567	NUM
ejpam-4128	478	32	1342	1342	NUM
ejpam-4128	478	33	4.08	4.08	NUM
ejpam-4128	478	34	genhumps	genhump	NOUN
ejpam-4128	478	35	9395	9395	NUM
ejpam-4128	478	36	19074	19074	NUM
ejpam-4128	478	37	9741	9741	NUM
ejpam-4128	478	38	0.37	0.37	NUM
ejpam-4128	478	39	8	8	NUM
ejpam-4128	478	40	107	107	NUM
ejpam-4128	478	41	106	106	NUM
ejpam-4128	478	42	0.37	0.37	NUM
ejpam-4128	478	43	6475	6475	NUM
ejpam-4128	478	44	12964	12964	NUM
ejpam-4128	478	45	6493	6493	NUM
ejpam-4128	478	46	19.89	19.89	NUM
ejpam-4128	478	47	4938	4938	NUM
ejpam-4128	478	48	14763	14763	NUM
ejpam-4128	478	49	10180	10180	NUM
ejpam-4128	478	50	25.27	25.27	NUM
ejpam-4128	478	51	growthls	growthls	NOUN
ejpam-4128	478	52	107	107	NUM
ejpam-4128	478	53	382	382	NUM
ejpam-4128	478	54	315	315	NUM
ejpam-4128	478	55	0.02	0.02	NUM
ejpam-4128	478	56	109	109	NUM
ejpam-4128	478	57	431	431	NUM
ejpam-4128	478	58	369	369	NUM
ejpam-4128	478	59	0.02	0.02	NUM
ejpam-4128	478	60	156	156	NUM
ejpam-4128	478	61	456	456	NUM
ejpam-4128	478	62	319	319	NUM
ejpam-4128	478	63	0.02	0.02	NUM
ejpam-4128	478	64	109	109	NUM
ejpam-4128	478	65	431	431	NUM
ejpam-4128	478	66	369	369	NUM
ejpam-4128	478	67	0.02	0.02	NUM
ejpam-4128	478	68	gulf	gulf	NOUN
ejpam-4128	478	69	27	27	NUM
ejpam-4128	478	70	90	90	NUM
ejpam-4128	478	71	70	70	NUM
ejpam-4128	478	72	0.02	0.02	NUM
ejpam-4128	478	73	33	33	NUM
ejpam-4128	478	74	95	95	NUM
ejpam-4128	478	75	72	72	NUM
ejpam-4128	478	76	0.02	0.02	NUM
ejpam-4128	478	77	37	37	NUM
ejpam-4128	478	78	84	84	NUM
ejpam-4128	478	79	48	48	NUM
ejpam-4128	478	80	0.02	0.02	NUM
ejpam-4128	478	81	33	33	NUM
ejpam-4128	478	82	95	95	NUM
ejpam-4128	478	83	72	72	NUM
ejpam-4128	478	84	0.02	0.02	NUM
ejpam-4128	478	85	appendix	appendix	NOUN
ejpam-4128	478	86	1453	1453	NUM
ejpam-4128	478	87	ftcgls	ftcgls	NOUN
ejpam-4128	478	88	ftcghs	ftcgh	NOUN
ejpam-4128	478	89	cgdescent	cgdescent	PROPN
ejpam-4128	478	90	dl+	dl+	PROPN
ejpam-4128	478	91	hahn1ls	hahn1ls	NOUN
ejpam-4128	478	92	4	4	NUM
ejpam-4128	478	93	54	54	NUM
ejpam-4128	478	94	51	51	NUM
ejpam-4128	478	95	0.02	0.02	NUM
ejpam-4128	478	96	5	5	NUM
ejpam-4128	478	97	56	56	NUM
ejpam-4128	478	98	53	53	NUM
ejpam-4128	478	99	0.02	0.02	NUM
ejpam-4128	478	100	37	37	NUM
ejpam-4128	478	101	121	121	NUM
ejpam-4128	478	102	86	86	NUM
ejpam-4128	478	103	0.02	0.02	NUM
ejpam-4128	478	104	5	5	NUM
ejpam-4128	478	105	56	56	NUM
ejpam-4128	478	106	53	53	NUM
ejpam-4128	478	107	0.02	0.02	NUM
ejpam-4128	478	108	hairy	hairy	ADJ
ejpam-4128	478	109	16	16	NUM
ejpam-4128	478	110	63	63	NUM
ejpam-4128	478	111	51	51	NUM
ejpam-4128	478	112	0.02	0.02	NUM
ejpam-4128	478	113	17	17	NUM
ejpam-4128	478	114	82	82	NUM
ejpam-4128	478	115	68	68	NUM
ejpam-4128	478	116	0.02	0.02	NUM
ejpam-4128	478	117	36	36	NUM
ejpam-4128	478	118	99	99	NUM
ejpam-4128	478	119	65	65	NUM
ejpam-4128	478	120	0.02	0.02	NUM
ejpam-4128	478	121	17	17	NUM
ejpam-4128	478	122	82	82	NUM
ejpam-4128	478	123	68	68	NUM
ejpam-4128	478	124	0.02	0.02	NUM
ejpam-4128	478	125	hatfldd	hatfldd	NOUN
ejpam-4128	478	126	17	17	NUM
ejpam-4128	478	127	47	47	NUM
ejpam-4128	478	128	38	38	NUM
ejpam-4128	478	129	0.02	0.02	NUM
ejpam-4128	478	130	17	17	NUM
ejpam-4128	478	131	49	49	NUM
ejpam-4128	478	132	37	37	NUM
ejpam-4128	478	133	0.02	0.02	NUM
ejpam-4128	478	134	20	20	NUM
ejpam-4128	478	135	43	43	NUM
ejpam-4128	478	136	24	24	NUM
ejpam-4128	478	137	0.02	0.02	NUM
ejpam-4128	478	138	17	17	NUM
ejpam-4128	478	139	49	49	NUM
ejpam-4128	478	140	37	37	NUM
ejpam-4128	478	141	0.02	0.02	NUM
ejpam-4128	478	142	hatflde	hatflde	NOUN
ejpam-4128	478	143	12	12	NUM
ejpam-4128	478	144	33	33	NUM
ejpam-4128	478	145	25	25	NUM
ejpam-4128	478	146	0.02	0.02	NUM
ejpam-4128	478	147	13	13	NUM
ejpam-4128	478	148	37	37	NUM
ejpam-4128	478	149	30	30	NUM
ejpam-4128	478	150	0.02	0.02	NUM
ejpam-4128	478	151	30	30	NUM
ejpam-4128	478	152	72	72	NUM
ejpam-4128	478	153	45	45	NUM
ejpam-4128	478	154	0.02	0.02	NUM
ejpam-4128	478	155	13	13	NUM
ejpam-4128	478	156	37	37	NUM
ejpam-4128	478	157	30	30	NUM
ejpam-4128	478	158	0.02	0.02	NUM
ejpam-4128	478	159	hatfldfl	hatfldfl	NOUN
ejpam-4128	478	160	39	39	NUM
ejpam-4128	478	161	123	123	NUM
ejpam-4128	478	162	100	100	NUM
ejpam-4128	478	163	0.02	0.02	NUM
ejpam-4128	478	164	21	21	NUM
ejpam-4128	478	165	68	68	NUM
ejpam-4128	478	166	54	54	NUM
ejpam-4128	478	167	0.02	0.02	NUM
ejpam-4128	478	168	39	39	NUM
ejpam-4128	478	169	92	92	NUM
ejpam-4128	478	170	55	55	NUM
ejpam-4128	478	171	0.02	0.02	NUM
ejpam-4128	478	172	21	21	NUM
ejpam-4128	478	173	68	68	NUM
ejpam-4128	478	174	54	54	NUM
ejpam-4128	478	175	0.02	0.02	NUM
ejpam-4128	478	176	hatfldfls	hatfldfls	ADV
ejpam-4128	478	177	53	53	NUM
ejpam-4128	478	178	157	157	NUM
ejpam-4128	478	179	124	124	NUM
ejpam-4128	478	180	0.02	0.02	NUM
ejpam-4128	478	181	48	48	NUM
ejpam-4128	478	182	156	156	NUM
ejpam-4128	478	183	125	125	NUM
ejpam-4128	478	184	0.02	0.02	NUM
ejpam-4128	478	185	64	64	NUM
ejpam-4128	478	186	155	155	NUM
ejpam-4128	478	187	97	97	NUM
ejpam-4128	478	188	0.02	0.02	NUM
ejpam-4128	478	189	48	48	NUM
ejpam-4128	478	190	156	156	NUM
ejpam-4128	478	191	125	125	NUM
ejpam-4128	478	192	0.02	0.02	NUM
ejpam-4128	478	193	heart6ls	heart6ls	PROPN
ejpam-4128	478	194	376	376	NUM
ejpam-4128	478	195	1083	1083	NUM
ejpam-4128	478	196	814	814	NUM
ejpam-4128	478	197	0.02	0.02	NUM
ejpam-4128	478	198	375	375	NUM
ejpam-4128	478	199	1137	1137	NUM
ejpam-4128	478	200	876	876	NUM
ejpam-4128	478	201	0.02	0.02	NUM
ejpam-4128	478	202	684	684	NUM
ejpam-4128	478	203	1576	1576	NUM
ejpam-4128	478	204	941	941	NUM
ejpam-4128	478	205	0.02	0.02	NUM
ejpam-4128	478	206	375	375	NUM
ejpam-4128	478	207	1137	1137	NUM
ejpam-4128	478	208	876	876	NUM
ejpam-4128	478	209	0.02	0.02	NUM
ejpam-4128	478	210	heart8ls	heart8ls	NOUN
ejpam-4128	478	211	240	240	NUM
ejpam-4128	478	212	609	609	NUM
ejpam-4128	478	213	414	414	NUM
ejpam-4128	478	214	0.02	0.02	NUM
ejpam-4128	478	215	253	253	NUM
ejpam-4128	478	216	657	657	NUM
ejpam-4128	478	217	440	440	NUM
ejpam-4128	478	218	0.02	0.02	NUM
ejpam-4128	478	219	249	249	NUM
ejpam-4128	478	220	524	524	NUM
ejpam-4128	478	221	278	278	NUM
ejpam-4128	478	222	0.02	0.02	NUM
ejpam-4128	478	223	253	253	NUM
ejpam-4128	478	224	657	657	NUM
ejpam-4128	478	225	440	440	NUM
ejpam-4128	478	226	0.02	0.02	NUM
ejpam-4128	478	227	helix	helix	NOUN
ejpam-4128	478	228	23	23	NUM
ejpam-4128	478	229	59	59	NUM
ejpam-4128	478	230	42	42	NUM
ejpam-4128	478	231	0.02	0.02	NUM
ejpam-4128	478	232	23	23	NUM
ejpam-4128	478	233	60	60	NUM
ejpam-4128	478	234	42	42	NUM
ejpam-4128	478	235	0.02	0.02	NUM
ejpam-4128	478	236	23	23	NUM
ejpam-4128	478	237	49	49	NUM
ejpam-4128	478	238	27	27	NUM
ejpam-4128	478	239	0.02	0.02	NUM
ejpam-4128	478	240	23	23	NUM
ejpam-4128	478	241	60	60	NUM
ejpam-4128	478	242	42	42	NUM
ejpam-4128	478	243	0.02	0.02	NUM
ejpam-4128	478	244	hielow	hielow	NOUN
ejpam-4128	478	245	13	13	NUM
ejpam-4128	478	246	30	30	NUM
ejpam-4128	478	247	22	22	NUM
ejpam-4128	478	248	0.05	0.05	NUM
ejpam-4128	478	249	13	13	NUM
ejpam-4128	478	250	30	30	NUM
ejpam-4128	478	251	21	21	NUM
ejpam-4128	478	252	0.03	0.03	NUM
ejpam-4128	478	253	14	14	NUM
ejpam-4128	478	254	30	30	NUM
ejpam-4128	478	255	16	16	NUM
ejpam-4128	478	256	0.02	0.02	NUM
ejpam-4128	478	257	13	13	NUM
ejpam-4128	478	258	30	30	NUM
ejpam-4128	478	259	21	21	NUM
ejpam-4128	478	260	0.05	0.05	NUM
ejpam-4128	478	261	hilberta	hilberta	NOUN
ejpam-4128	478	262	2	2	NUM
ejpam-4128	478	263	5	5	NUM
ejpam-4128	478	264	3	3	NUM
ejpam-4128	478	265	0.02	0.02	NUM
ejpam-4128	478	266	2	2	NUM
ejpam-4128	478	267	5	5	NUM
ejpam-4128	478	268	3	3	NUM
ejpam-4128	478	269	0.02	0.02	NUM
ejpam-4128	478	270	2	2	NUM
ejpam-4128	478	271	5	5	NUM
ejpam-4128	478	272	3	3	NUM
ejpam-4128	478	273	0.02	0.02	NUM
ejpam-4128	478	274	2	2	NUM
ejpam-4128	478	275	5	5	NUM
ejpam-4128	478	276	3	3	NUM
ejpam-4128	478	277	0.02	0.02	NUM
ejpam-4128	478	278	hilbertb	hilbertb	NOUN
ejpam-4128	478	279	4	4	NUM
ejpam-4128	478	280	9	9	NUM
ejpam-4128	478	281	5	5	NUM
ejpam-4128	478	282	0.02	0.02	NUM
ejpam-4128	478	283	4	4	NUM
ejpam-4128	478	284	9	9	NUM
ejpam-4128	478	285	5	5	NUM
ejpam-4128	478	286	0.02	0.02	NUM
ejpam-4128	478	287	4	4	NUM
ejpam-4128	478	288	9	9	NUM
ejpam-4128	478	289	5	5	NUM
ejpam-4128	478	290	0.02	0.02	NUM
ejpam-4128	478	291	4	4	NUM
ejpam-4128	478	292	9	9	NUM
ejpam-4128	478	293	5	5	NUM
ejpam-4128	478	294	0.02	0.02	NUM
ejpam-4128	478	295	himmelbb	himmelbb	NOUN
ejpam-4128	478	296	4	4	NUM
ejpam-4128	478	297	18	18	NUM
ejpam-4128	478	298	17	17	NUM
ejpam-4128	478	299	0.02	0.02	NUM
ejpam-4128	478	300	4	4	NUM
ejpam-4128	478	301	18	18	NUM
ejpam-4128	478	302	18	18	NUM
ejpam-4128	478	303	0.02	0.02	NUM
ejpam-4128	478	304	10	10	NUM
ejpam-4128	478	305	28	28	NUM
ejpam-4128	478	306	21	21	NUM
ejpam-4128	478	307	0.02	0.02	NUM
ejpam-4128	478	308	4	4	NUM
ejpam-4128	478	309	18	18	NUM
ejpam-4128	478	310	18	18	NUM
ejpam-4128	478	311	0.02	0.02	NUM
ejpam-4128	478	312	himmelbf	himmelbf	NOUN
ejpam-4128	478	313	23	23	NUM
ejpam-4128	478	314	56	56	NUM
ejpam-4128	478	315	40	40	NUM
ejpam-4128	478	316	0.02	0.02	NUM
ejpam-4128	478	317	23	23	NUM
ejpam-4128	478	318	59	59	NUM
ejpam-4128	478	319	46	46	NUM
ejpam-4128	478	320	0.02	0.02	NUM
ejpam-4128	478	321	26	26	NUM
ejpam-4128	478	322	60	60	NUM
ejpam-4128	478	323	36	36	NUM
ejpam-4128	478	324	0.02	0.02	NUM
ejpam-4128	478	325	23	23	NUM
ejpam-4128	478	326	59	59	NUM
ejpam-4128	478	327	46	46	NUM
ejpam-4128	478	328	0.02	0.02	NUM
ejpam-4128	478	329	himmelbg	himmelbg	NOUN
ejpam-4128	478	330	7	7	NUM
ejpam-4128	478	331	22	22	NUM
ejpam-4128	478	332	17	17	NUM
ejpam-4128	478	333	0.02	0.02	NUM
ejpam-4128	478	334	7	7	NUM
ejpam-4128	478	335	22	22	NUM
ejpam-4128	478	336	17	17	NUM
ejpam-4128	478	337	0.02	0.02	NUM
ejpam-4128	478	338	8	8	NUM
ejpam-4128	478	339	20	20	NUM
ejpam-4128	478	340	13	13	NUM
ejpam-4128	478	341	0.02	0.02	NUM
ejpam-4128	478	342	7	7	NUM
ejpam-4128	478	343	22	22	NUM
ejpam-4128	478	344	17	17	NUM
ejpam-4128	478	345	0.02	0.02	NUM
ejpam-4128	478	346	himmelbh	himmelbh	NOUN
ejpam-4128	478	347	5	5	NUM
ejpam-4128	478	348	13	13	NUM
ejpam-4128	478	349	9	9	NUM
ejpam-4128	478	350	0.02	0.02	NUM
ejpam-4128	478	351	5	5	NUM
ejpam-4128	478	352	13	13	NUM
ejpam-4128	478	353	9	9	NUM
ejpam-4128	478	354	0.02	0.02	NUM
ejpam-4128	478	355	7	7	NUM
ejpam-4128	478	356	16	16	NUM
ejpam-4128	478	357	9	9	NUM
ejpam-4128	478	358	0.02	0.02	NUM
ejpam-4128	478	359	5	5	NUM
ejpam-4128	478	360	13	13	NUM
ejpam-4128	478	361	9	9	NUM
ejpam-4128	478	362	0.02	0.02	NUM
ejpam-4128	478	363	humps	hump	NOUN
ejpam-4128	478	364	36	36	NUM
ejpam-4128	478	365	226	226	NUM
ejpam-4128	478	366	205	205	NUM
ejpam-4128	478	367	0.02	0.02	NUM
ejpam-4128	478	368	45	45	NUM
ejpam-4128	478	369	223	223	NUM
ejpam-4128	478	370	202	202	NUM
ejpam-4128	478	371	0.02	0.02	NUM
ejpam-4128	478	372	52	52	NUM
ejpam-4128	478	373	186	186	NUM
ejpam-4128	478	374	146	146	NUM
ejpam-4128	478	375	0.02	0.02	NUM
ejpam-4128	478	376	45	45	NUM
ejpam-4128	478	377	223	223	NUM
ejpam-4128	478	378	202	202	NUM
ejpam-4128	478	379	0.02	0.02	NUM
ejpam-4128	478	380	hydcar6ls.sif	hydcar6ls.sif	NOUN
ejpam-4128	478	381	70	70	NUM
ejpam-4128	478	382	143	143	NUM
ejpam-4128	478	383	74	74	NUM
ejpam-4128	478	384	0.02	0.02	NUM
ejpam-4128	478	385	120	120	NUM
ejpam-4128	478	386	242	242	NUM
ejpam-4128	478	387	123	123	NUM
ejpam-4128	478	388	0.02	0.02	NUM
ejpam-4128	478	389	14401	14401	NUM
ejpam-4128	478	390	29028	29028	NUM
ejpam-4128	478	391	14875	14875	NUM
ejpam-4128	478	392	0.45	0.45	NUM
ejpam-4128	478	393	1001	1001	NUM
ejpam-4128	478	394	2027	2027	NUM
ejpam-4128	478	395	1174	1174	NUM
ejpam-4128	478	396	0.03	0.03	NUM
ejpam-4128	478	397	inteqnels.sif	inteqnels.sif	X
ejpam-4128	478	398	6	6	NUM
ejpam-4128	478	399	13	13	NUM
ejpam-4128	478	400	7	7	NUM
ejpam-4128	478	401	0.02	0.02	NUM
ejpam-4128	478	402	7	7	NUM
ejpam-4128	478	403	15	15	NUM
ejpam-4128	478	404	8	8	NUM
ejpam-4128	478	405	0.02	0.02	NUM
ejpam-4128	478	406	6	6	NUM
ejpam-4128	478	407	13	13	NUM
ejpam-4128	478	408	7	7	NUM
ejpam-4128	478	409	0.02	0.02	NUM
ejpam-4128	478	410	6	6	NUM
ejpam-4128	478	411	13	13	NUM
ejpam-4128	478	412	7	7	NUM
ejpam-4128	478	413	0.02	0.02	NUM
ejpam-4128	478	414	jensmp	jensmp	NOUN
ejpam-4128	478	415	15	15	NUM
ejpam-4128	478	416	54	54	NUM
ejpam-4128	478	417	45	45	NUM
ejpam-4128	478	418	0.02	0.02	NUM
ejpam-4128	478	419	12	12	NUM
ejpam-4128	478	420	47	47	NUM
ejpam-4128	478	421	41	41	NUM
ejpam-4128	478	422	0.02	0.02	NUM
ejpam-4128	478	423	15	15	NUM
ejpam-4128	478	424	33	33	NUM
ejpam-4128	478	425	22	22	NUM
ejpam-4128	478	426	0.02	0.02	NUM
ejpam-4128	478	427	12	12	NUM
ejpam-4128	478	428	47	47	NUM
ejpam-4128	478	429	41	41	NUM
ejpam-4128	478	430	0.02	0.02	NUM
ejpam-4128	478	431	judge	judge	NOUN
ejpam-4128	478	432	9	9	NUM
ejpam-4128	478	433	24	24	NUM
ejpam-4128	478	434	17	17	NUM
ejpam-4128	478	435	0.02	0.02	NUM
ejpam-4128	478	436	9	9	NUM
ejpam-4128	478	437	24	24	NUM
ejpam-4128	478	438	18	18	NUM
ejpam-4128	478	439	0.02	0.02	NUM
ejpam-4128	478	440	10	10	NUM
ejpam-4128	478	441	23	23	NUM
ejpam-4128	478	442	13	13	NUM
ejpam-4128	478	443	0.02	0.02	NUM
ejpam-4128	478	444	9	9	NUM
ejpam-4128	478	445	24	24	NUM
ejpam-4128	478	446	18	18	NUM
ejpam-4128	478	447	0.02	0.02	NUM
ejpam-4128	478	448	lanczos1ls	lanczos1ls	NOUN
ejpam-4128	478	449	73	73	NUM
ejpam-4128	478	450	184	184	NUM
ejpam-4128	478	451	129	129	NUM
ejpam-4128	478	452	0.02	0.02	NUM
ejpam-4128	478	453	61	61	NUM
ejpam-4128	478	454	177	177	NUM
ejpam-4128	478	455	135	135	NUM
ejpam-4128	478	456	0.02	0.02	NUM
ejpam-4128	478	457	148	148	NUM
ejpam-4128	478	458	325	325	NUM
ejpam-4128	478	459	181	181	NUM
ejpam-4128	478	460	0.02	0.02	NUM
ejpam-4128	478	461	61	61	NUM
ejpam-4128	478	462	177	177	NUM
ejpam-4128	478	463	135	135	NUM
ejpam-4128	478	464	0.02	0.02	NUM
ejpam-4128	478	465	lanczos2ls	lanczos2ls	NOUN
ejpam-4128	478	466	70	70	NUM
ejpam-4128	478	467	175	175	NUM
ejpam-4128	478	468	119	119	NUM
ejpam-4128	478	469	0.02	0.02	NUM
ejpam-4128	478	470	60	60	NUM
ejpam-4128	478	471	169	169	NUM
ejpam-4128	478	472	125	125	NUM
ejpam-4128	478	473	0.02	0.02	NUM
ejpam-4128	478	474	169	169	NUM
ejpam-4128	478	475	379	379	NUM
ejpam-4128	478	476	215	215	NUM
ejpam-4128	478	477	0.02	0.02	NUM
ejpam-4128	478	478	60	60	NUM
ejpam-4128	478	479	169	169	NUM
ejpam-4128	478	480	125	125	NUM
ejpam-4128	478	481	0.02	0.02	NUM
ejpam-4128	478	482	lanczos3ls	lanczos3ls	ADJ
ejpam-4128	478	483	70	70	NUM
ejpam-4128	478	484	177	177	NUM
ejpam-4128	478	485	125	125	NUM
ejpam-4128	478	486	0.02	0.02	NUM
ejpam-4128	478	487	61	61	NUM
ejpam-4128	478	488	164	164	NUM
ejpam-4128	478	489	118	118	NUM
ejpam-4128	478	490	0.02	0.02	NUM
ejpam-4128	478	491	179	179	NUM
ejpam-4128	478	492	392	392	NUM
ejpam-4128	478	493	219	219	NUM
ejpam-4128	478	494	0.02	0.02	NUM
ejpam-4128	478	495	61	61	NUM
ejpam-4128	478	496	164	164	NUM
ejpam-4128	478	497	118	118	NUM
ejpam-4128	478	498	0.02	0.02	NUM
ejpam-4128	478	499	loghairy	loghairy	NOUN
ejpam-4128	478	500	14	14	NUM
ejpam-4128	478	501	91	91	NUM
ejpam-4128	478	502	79	79	NUM
ejpam-4128	478	503	0.02	0.02	NUM
ejpam-4128	478	504	26	26	NUM
ejpam-4128	478	505	196	196	NUM
ejpam-4128	478	506	179	179	NUM
ejpam-4128	478	507	0.02	0.02	NUM
ejpam-4128	478	508	27	27	NUM
ejpam-4128	478	509	81	81	NUM
ejpam-4128	478	510	58	58	NUM
ejpam-4128	478	511	0.02	0.02	NUM
ejpam-4128	478	512	26	26	NUM
ejpam-4128	478	513	196	196	NUM
ejpam-4128	478	514	179	179	NUM
ejpam-4128	478	515	0.02	0.02	NUM
ejpam-4128	478	516	lsc1ls	lsc1ls	NOUN
ejpam-4128	478	517	34	34	NUM
ejpam-4128	478	518	106	106	NUM
ejpam-4128	478	519	85	85	NUM
ejpam-4128	478	520	0.02	0.02	NUM
ejpam-4128	478	521	31	31	NUM
ejpam-4128	478	522	108	108	NUM
ejpam-4128	478	523	89	89	NUM
ejpam-4128	478	524	0.02	0.02	NUM
ejpam-4128	478	525	36	36	NUM
ejpam-4128	478	526	101	101	NUM
ejpam-4128	478	527	71	71	NUM
ejpam-4128	478	528	0.02	0.02	NUM
ejpam-4128	478	529	31	31	NUM
ejpam-4128	478	530	108	108	NUM
ejpam-4128	478	531	89	89	NUM
ejpam-4128	478	532	0.02	0.02	NUM
ejpam-4128	478	533	lsc2ls	lsc2ls	NOUN
ejpam-4128	478	534	55	55	NUM
ejpam-4128	478	535	173	173	NUM
ejpam-4128	478	536	141	141	NUM
ejpam-4128	478	537	0.02	0.02	NUM
ejpam-4128	478	538	37	37	NUM
ejpam-4128	478	539	106	106	NUM
ejpam-4128	478	540	86	86	NUM
ejpam-4128	478	541	0.02	0.02	NUM
ejpam-4128	478	542	54	54	NUM
ejpam-4128	478	543	119	119	NUM
ejpam-4128	478	544	67	67	NUM
ejpam-4128	478	545	0.02	0.02	NUM
ejpam-4128	478	546	37	37	NUM
ejpam-4128	478	547	106	106	NUM
ejpam-4128	478	548	86	86	NUM
ejpam-4128	478	549	0.02	0.02	NUM
ejpam-4128	478	550	luksan13ls	luksan13ls	NUM
ejpam-4128	478	551	90	90	NUM
ejpam-4128	478	552	178	178	NUM
ejpam-4128	478	553	142	142	NUM
ejpam-4128	478	554	0.02	0.02	NUM
ejpam-4128	478	555	90	90	NUM
ejpam-4128	478	556	182	182	NUM
ejpam-4128	478	557	168	168	NUM
ejpam-4128	478	558	0.02	0.02	NUM
ejpam-4128	478	559	84	84	NUM
ejpam-4128	478	560	158	158	NUM
ejpam-4128	478	561	121	121	NUM
ejpam-4128	478	562	0.02	0.02	NUM
ejpam-4128	478	563	142	142	NUM
ejpam-4128	478	564	279	279	NUM
ejpam-4128	478	565	243	243	NUM
ejpam-4128	478	566	0.02	0.02	NUM
ejpam-4128	478	567	luksan14ls	luksan14ls	PROPN
ejpam-4128	478	568	156	156	NUM
ejpam-4128	478	569	324	324	NUM
ejpam-4128	478	570	213	213	NUM
ejpam-4128	478	571	0.02	0.02	NUM
ejpam-4128	478	572	188	188	NUM
ejpam-4128	478	573	400	400	NUM
ejpam-4128	478	574	254	254	NUM
ejpam-4128	478	575	0.02	0.02	NUM
ejpam-4128	478	576	98	98	NUM
ejpam-4128	478	577	122	122	NUM
ejpam-4128	478	578	156	156	NUM
ejpam-4128	478	579	0.02	0.02	NUM
ejpam-4128	478	580	157	157	NUM
ejpam-4128	478	581	313	313	NUM
ejpam-4128	478	582	201	201	NUM
ejpam-4128	478	583	0.02	0.02	NUM
ejpam-4128	478	584	appendix	appendix	NOUN
ejpam-4128	478	585	1454	1454	NUM
ejpam-4128	478	586	ftcgls	ftcgls	ADJ
ejpam-4128	478	587	ftcghs	ftcgh	NOUN
ejpam-4128	478	588	cgdescent	cgdescent	PROPN
ejpam-4128	478	589	dl+	dl+	PROPN
ejpam-4128	478	590	luksan15ls	luksan15l	VERB
ejpam-4128	478	591	27	27	NUM
ejpam-4128	478	592	61	61	NUM
ejpam-4128	478	593	45	45	NUM
ejpam-4128	478	594	0.02	0.02	NUM
ejpam-4128	478	595	27	27	NUM
ejpam-4128	478	596	61	61	NUM
ejpam-4128	478	597	47	47	NUM
ejpam-4128	478	598	0.02	0.02	NUM
ejpam-4128	478	599	28	28	NUM
ejpam-4128	478	600	59	59	NUM
ejpam-4128	478	601	44	44	NUM
ejpam-4128	478	602	0.02	0.02	NUM
ejpam-4128	478	603	27	27	NUM
ejpam-4128	478	604	60	60	NUM
ejpam-4128	478	605	45	45	NUM
ejpam-4128	478	606	0.02	0.02	NUM
ejpam-4128	478	607	luksan16ls	luksan16ls	NOUN
ejpam-4128	478	608	28	28	NUM
ejpam-4128	478	609	56	56	NUM
ejpam-4128	478	610	38	38	NUM
ejpam-4128	478	611	0.02	0.02	NUM
ejpam-4128	478	612	28	28	NUM
ejpam-4128	478	613	55	55	NUM
ejpam-4128	478	614	38	38	NUM
ejpam-4128	478	615	0.02	0.02	NUM
ejpam-4128	478	616	31	31	NUM
ejpam-4128	478	617	57	57	NUM
ejpam-4128	478	618	38	38	NUM
ejpam-4128	478	619	0.02	0.02	NUM
ejpam-4128	478	620	35	35	NUM
ejpam-4128	478	621	72	72	NUM
ejpam-4128	478	622	53	53	NUM
ejpam-4128	478	623	0.02	0.02	NUM
ejpam-4128	478	624	mancino	mancino	NOUN
ejpam-4128	478	625	10	10	NUM
ejpam-4128	478	626	21	21	NUM
ejpam-4128	478	627	11	11	NUM
ejpam-4128	478	628	0.02	0.02	NUM
ejpam-4128	478	629	12	12	NUM
ejpam-4128	478	630	29	29	NUM
ejpam-4128	478	631	18	18	NUM
ejpam-4128	478	632	0.09	0.09	NUM
ejpam-4128	478	633	11	11	NUM
ejpam-4128	478	634	23	23	NUM
ejpam-4128	478	635	12	12	NUM
ejpam-4128	478	636	0.06	0.06	NUM
ejpam-4128	478	637	11	11	NUM
ejpam-4128	478	638	23	23	NUM
ejpam-4128	478	639	12	12	NUM
ejpam-4128	478	640	0.06	0.06	NUM
ejpam-4128	478	641	mexhat	mexhat	ADP
ejpam-4128	478	642	17	17	NUM
ejpam-4128	478	643	64	64	NUM
ejpam-4128	478	644	60	60	NUM
ejpam-4128	478	645	0.02	0.02	NUM
ejpam-4128	478	646	14	14	NUM
ejpam-4128	478	647	59	59	NUM
ejpam-4128	478	648	55	55	NUM
ejpam-4128	478	649	0.02	0.02	NUM
ejpam-4128	478	650	20	20	NUM
ejpam-4128	478	651	56	56	NUM
ejpam-4128	478	652	39	39	NUM
ejpam-4128	478	653	0.02	0.02	NUM
ejpam-4128	478	654	14	14	NUM
ejpam-4128	478	655	59	59	NUM
ejpam-4128	478	656	55	55	NUM
ejpam-4128	478	657	0.02	0.02	NUM
ejpam-4128	478	658	meyer3	meyer3	NOUN
ejpam-4128	478	659	145	145	NUM
ejpam-4128	478	660	611	611	NUM
ejpam-4128	478	661	534	534	NUM
ejpam-4128	478	662	0.02	0.02	NUM
ejpam-4128	478	663	19	19	NUM
ejpam-4128	478	664	76	76	NUM
ejpam-4128	478	665	63	63	NUM
ejpam-4128	478	666	0.02	0.02	NUM
ejpam-4128	478	667	19	19	NUM
ejpam-4128	478	668	67	67	NUM
ejpam-4128	478	669	52	52	NUM
ejpam-4128	478	670	0.02	0.02	NUM
ejpam-4128	478	671	19	19	NUM
ejpam-4128	478	672	76	76	NUM
ejpam-4128	478	673	63	63	NUM
ejpam-4128	478	674	0.02	0.02	NUM
ejpam-4128	478	675	mgh09ls	mgh09ls	NOUN
ejpam-4128	478	676	49	49	NUM
ejpam-4128	478	677	143	143	NUM
ejpam-4128	478	678	110	110	NUM
ejpam-4128	478	679	0.02	0.02	NUM
ejpam-4128	478	680	25	25	NUM
ejpam-4128	478	681	82	82	NUM
ejpam-4128	478	682	72	72	NUM
ejpam-4128	478	683	0.02	0.02	NUM
ejpam-4128	478	684	57	57	NUM
ejpam-4128	478	685	137	137	NUM
ejpam-4128	478	686	86	86	NUM
ejpam-4128	478	687	0.02	0.02	NUM
ejpam-4128	478	688	25	25	NUM
ejpam-4128	478	689	82	82	NUM
ejpam-4128	478	690	72	72	NUM
ejpam-4128	478	691	0.02	0.02	NUM
ejpam-4128	478	692	mgh10ls	mgh10ls	NOUN
ejpam-4128	478	693	1084	1084	NUM
ejpam-4128	478	694	4530	4530	NUM
ejpam-4128	478	695	5502	5502	NUM
ejpam-4128	478	696	0.02	0.02	NUM
ejpam-4128	478	697	1082	1082	NUM
ejpam-4128	478	698	4052	4052	NUM
ejpam-4128	478	699	4968	4968	NUM
ejpam-4128	478	700	0.03	0.03	NUM
ejpam-4128	478	701	1134	1134	NUM
ejpam-4128	478	702	4464	4464	NUM
ejpam-4128	478	703	535	535	NUM
ejpam-4128	478	704	0.03	0.03	NUM
ejpam-4128	478	705	108	108	NUM
ejpam-4128	478	706	4052	4052	NUM
ejpam-4128	478	707	4968	4968	NUM
ejpam-4128	478	708	0.02	0.02	NUM
ejpam-4128	479	1	mgh10sls	mgh10sls	NOUN
ejpam-4128	480	1	73	73	NUM
ejpam-4128	481	1	470	470	NUM
ejpam-4128	482	1	437	437	NUM
ejpam-4128	482	2	0.02	0.02	NUM
ejpam-4128	482	3	19	19	NUM
ejpam-4128	482	4	112	112	NUM
ejpam-4128	482	5	102	102	NUM
ejpam-4128	482	6	0.03	0.03	NUM
ejpam-4128	482	7	146	146	NUM
ejpam-4128	482	8	505	505	NUM
ejpam-4128	482	9	401	401	NUM
ejpam-4128	482	10	0.03	0.03	NUM
ejpam-4128	482	11	19	19	NUM
ejpam-4128	482	12	112	112	NUM
ejpam-4128	482	13	102	102	NUM
ejpam-4128	482	14	0.02	0.02	NUM
ejpam-4128	482	15	mgh17ls	mgh17ls	NOUN
ejpam-4128	482	16	58	58	NUM
ejpam-4128	482	17	199	199	NUM
ejpam-4128	482	18	150	150	NUM
ejpam-4128	482	19	0.02	0.02	NUM
ejpam-4128	482	20	84	84	NUM
ejpam-4128	482	21	323	323	NUM
ejpam-4128	482	22	265	265	NUM
ejpam-4128	482	23	0.03	0.03	NUM
ejpam-4128	482	24	228	228	NUM
ejpam-4128	482	25	564	564	NUM
ejpam-4128	482	26	363	363	NUM
ejpam-4128	482	27	0.02	0.02	NUM
ejpam-4128	482	28	84	84	NUM
ejpam-4128	482	29	323	323	NUM
ejpam-4128	482	30	365	365	NUM
ejpam-4128	482	31	0.02	0.02	NUM
ejpam-4128	482	32	misra1bls.sif	misra1bls.sif	NOUN
ejpam-4128	482	33	13	13	NUM
ejpam-4128	482	34	53	53	NUM
ejpam-4128	482	35	62	62	NUM
ejpam-4128	482	36	0.02	0.02	NUM
ejpam-4128	482	37	26	26	NUM
ejpam-4128	482	38	113	113	NUM
ejpam-4128	482	39	101	101	NUM
ejpam-4128	482	40	0.03	0.03	NUM
ejpam-4128	482	41	35	35	NUM
ejpam-4128	482	42	139	139	NUM
ejpam-4128	482	43	117	117	NUM
ejpam-4128	482	44	0.02	0.02	NUM
ejpam-4128	482	45	26	26	NUM
ejpam-4128	482	46	113	113	NUM
ejpam-4128	482	47	101	101	NUM
ejpam-4128	482	48	0.02	0.02	NUM
ejpam-4128	482	49	misra1cls.sif	misra1cls.sif	NOUN
ejpam-4128	482	50	24	24	NUM
ejpam-4128	482	51	82	82	NUM
ejpam-4128	482	52	94	94	NUM
ejpam-4128	482	53	0.02	0.02	NUM
ejpam-4128	482	54	26	26	NUM
ejpam-4128	482	55	145	145	NUM
ejpam-4128	482	56	121	121	NUM
ejpam-4128	482	57	0.03	0.03	NUM
ejpam-4128	482	58	26	26	NUM
ejpam-4128	482	59	110	110	NUM
ejpam-4128	482	60	91	91	NUM
ejpam-4128	482	61	0.02	0.02	NUM
ejpam-4128	482	62	26	26	NUM
ejpam-4128	482	63	145	145	NUM
ejpam-4128	482	64	121	121	NUM
ejpam-4128	482	65	0.02	0.02	NUM
ejpam-4128	482	66	misra1dls.sif	misra1dls.sif	PROPN
ejpam-4128	482	67	21	21	NUM
ejpam-4128	482	68	74	74	NUM
ejpam-4128	482	69	74	74	NUM
ejpam-4128	482	70	0.02	0.02	NUM
ejpam-4128	482	71	22	22	NUM
ejpam-4128	482	72	90	90	NUM
ejpam-4128	482	73	84	84	NUM
ejpam-4128	482	74	0.02	0.02	NUM
ejpam-4128	482	75	24	24	NUM
ejpam-4128	482	76	74	74	NUM
ejpam-4128	482	77	75	75	NUM
ejpam-4128	482	78	0.02	0.02	NUM
ejpam-4128	482	79	22	22	NUM
ejpam-4128	482	80	90	90	NUM
ejpam-4128	482	81	84	84	NUM
ejpam-4128	482	82	0.02	0.02	NUM
ejpam-4128	482	83	morebv	morebv	NOUN
ejpam-4128	482	84	161	161	NUM
ejpam-4128	482	85	168	168	NUM
ejpam-4128	482	86	317	317	NUM
ejpam-4128	482	87	0.39	0.39	NUM
ejpam-4128	482	88	161	161	NUM
ejpam-4128	482	89	168	168	NUM
ejpam-4128	482	90	317	317	NUM
ejpam-4128	482	91	0.31	0.31	NUM
ejpam-4128	482	92	161	161	NUM
ejpam-4128	482	93	168	168	NUM
ejpam-4128	482	94	317	317	NUM
ejpam-4128	482	95	0.42	0.42	NUM
ejpam-4128	482	96	117	117	NUM
ejpam-4128	482	97	124	124	NUM
ejpam-4128	482	98	229	229	NUM
ejpam-4128	482	99	0.23	0.23	NUM
ejpam-4128	482	100	msqrtbls	msqrtbls	ADJ
ejpam-4128	482	101	2201	2201	NUM
ejpam-4128	482	102	4410	4410	NUM
ejpam-4128	482	103	2211	2211	NUM
ejpam-4128	482	104	5.5	5.5	NUM
ejpam-4128	482	105	2296	2296	NUM
ejpam-4128	482	106	4392	4392	NUM
ejpam-4128	482	107	2514	2514	NUM
ejpam-4128	482	108	8.03	8.03	NUM
ejpam-4128	482	109	2280	2280	NUM
ejpam-4128	482	110	4525	4525	NUM
ejpam-4128	482	111	2326	2326	NUM
ejpam-4128	482	112	6.91	6.91	NUM
ejpam-4128	482	113	5786	5786	NUM
ejpam-4128	482	114	11558	11558	NUM
ejpam-4128	482	115	5818	5818	NUM
ejpam-4128	482	116	17.72	17.72	NUM
ejpam-4128	482	117	nelsonls	nelsonls	NOUN
ejpam-4128	482	118	1117	1117	NUM
ejpam-4128	482	119	3861	3861	NUM
ejpam-4128	482	120	5389	5389	NUM
ejpam-4128	482	121	0.17	0.17	NUM
ejpam-4128	482	122	1101	1101	NUM
ejpam-4128	482	123	5415	5415	NUM
ejpam-4128	482	124	7690	7690	NUM
ejpam-4128	482	125	0.2	0.2	NUM
ejpam-4128	482	126	1118	1118	NUM
ejpam-4128	482	127	5692	5692	NUM
ejpam-4128	482	128	7331	7331	NUM
ejpam-4128	482	129	0.17	0.17	NUM
ejpam-4128	482	130	1101	1101	NUM
ejpam-4128	482	131	5415	5415	NUM
ejpam-4128	482	132	7690	7690	NUM
ejpam-4128	482	133	0.23	0.23	NUM
ejpam-4128	482	134	nondia	nondia	NOUN
ejpam-4128	482	135	7	7	NUM
ejpam-4128	482	136	25	25	NUM
ejpam-4128	482	137	19	19	NUM
ejpam-4128	482	138	0.02	0.02	NUM
ejpam-4128	482	139	7	7	NUM
ejpam-4128	482	140	17	17	NUM
ejpam-4128	482	141	11	11	NUM
ejpam-4128	482	142	0.01	0.01	NUM
ejpam-4128	482	143	7	7	NUM
ejpam-4128	482	144	25	25	NUM
ejpam-4128	482	145	20	20	NUM
ejpam-4128	482	146	0.03	0.03	NUM
ejpam-4128	482	147	7	7	NUM
ejpam-4128	482	148	25	25	NUM
ejpam-4128	482	149	19	19	NUM
ejpam-4128	482	150	0.03	0.03	NUM
ejpam-4128	482	151	osbornea	osbornea	NOUN
ejpam-4128	482	152	67	67	NUM
ejpam-4128	482	153	174	174	NUM
ejpam-4128	482	154	122	122	NUM
ejpam-4128	482	155	0.02	0.02	NUM
ejpam-4128	482	156	82	82	NUM
ejpam-4128	482	157	230	230	NUM
ejpam-4128	482	158	174	174	NUM
ejpam-4128	482	159	0.02	0.02	NUM
ejpam-4128	482	160	94	94	NUM
ejpam-4128	482	161	213	213	NUM
ejpam-4128	482	162	124	124	NUM
ejpam-4128	482	163	0.02	0.02	NUM
ejpam-4128	482	164	82	82	NUM
ejpam-4128	482	165	230	230	NUM
ejpam-4128	482	166	174	174	NUM
ejpam-4128	482	167	0.02	0.02	NUM
ejpam-4128	482	168	osborneb	osborneb	NOUN
ejpam-4128	482	169	58	58	NUM
ejpam-4128	482	170	140	140	NUM
ejpam-4128	482	171	91	91	NUM
ejpam-4128	482	172	0.01	0.01	NUM
ejpam-4128	482	173	57	57	NUM
ejpam-4128	482	174	134	134	NUM
ejpam-4128	482	175	84	84	NUM
ejpam-4128	482	176	0.01	0.01	NUM
ejpam-4128	482	177	62	62	NUM
ejpam-4128	482	178	127	127	NUM
ejpam-4128	482	179	65	65	NUM
ejpam-4128	482	180	0.02	0.02	NUM
ejpam-4128	482	181	57	57	NUM
ejpam-4128	482	182	134	134	NUM
ejpam-4128	482	183	84	84	NUM
ejpam-4128	482	184	0.02	0.02	NUM
ejpam-4128	482	185	oscipath	oscipath	NOUN
ejpam-4128	482	186	292090	292090	NUM
ejpam-4128	482	187	7e+05	7e+05	NUM
ejpam-4128	482	188	5e+05	5e+05	NUM
ejpam-4128	482	189	1.3	1.3	NUM
ejpam-4128	482	190	2950298e+055344252.42	2950298e+055344252.42	NUM
ejpam-4128	482	191	3109906709533673251.91	3109906709533673251.91	NUM
ejpam-4128	482	192	3e+057817295344252.42	3e+057817295344252.42	NUM
ejpam-4128	482	193	palmer1c	palmer1c	VERB
ejpam-4128	482	194	11	11	NUM
ejpam-4128	482	195	26	26	NUM
ejpam-4128	482	196	26	26	NUM
ejpam-4128	482	197	0.02	0.02	NUM
ejpam-4128	482	198	12	12	NUM
ejpam-4128	482	199	27	27	NUM
ejpam-4128	482	200	28	28	NUM
ejpam-4128	482	201	0.02	0.02	NUM
ejpam-4128	482	202	11	11	NUM
ejpam-4128	482	203	26	26	NUM
ejpam-4128	482	204	26	26	NUM
ejpam-4128	482	205	0.02	0.02	NUM
ejpam-4128	482	206	12	12	NUM
ejpam-4128	482	207	27	27	NUM
ejpam-4128	482	208	28	28	NUM
ejpam-4128	482	209	0.02	0.02	NUM
ejpam-4128	482	210	palmer1d	palmer1d	NOUN
ejpam-4128	482	211	10	10	NUM
ejpam-4128	482	212	26	26	NUM
ejpam-4128	482	213	26	26	NUM
ejpam-4128	482	214	0.02	0.02	NUM
ejpam-4128	482	215	10	10	NUM
ejpam-4128	482	216	24	24	NUM
ejpam-4128	482	217	23	23	NUM
ejpam-4128	482	218	0.02	0.02	NUM
ejpam-4128	482	219	11	11	NUM
ejpam-4128	482	220	25	25	NUM
ejpam-4128	482	221	25	25	NUM
ejpam-4128	482	222	0.02	0.02	NUM
ejpam-4128	482	223	10	10	NUM
ejpam-4128	482	224	24	24	NUM
ejpam-4128	482	225	23	23	NUM
ejpam-4128	482	226	0.02	0.02	NUM
ejpam-4128	482	227	palmer2c	palmer2c	NOUN
ejpam-4128	482	228	11	11	NUM
ejpam-4128	482	229	20	20	NUM
ejpam-4128	482	230	20	20	NUM
ejpam-4128	482	231	0.02	0.02	NUM
ejpam-4128	482	232	11	11	NUM
ejpam-4128	482	233	21	21	NUM
ejpam-4128	482	234	22	22	NUM
ejpam-4128	482	235	0.02	0.02	NUM
ejpam-4128	482	236	11	11	NUM
ejpam-4128	482	237	21	21	NUM
ejpam-4128	482	238	21	21	NUM
ejpam-4128	482	239	0.02	0.02	NUM
ejpam-4128	482	240	11	11	NUM
ejpam-4128	482	241	21	21	NUM
ejpam-4128	482	242	22	22	NUM
ejpam-4128	482	243	0.02	0.02	NUM
ejpam-4128	482	244	palmer3c	palmer3c	NOUN
ejpam-4128	482	245	11	11	NUM
ejpam-4128	482	246	20	20	NUM
ejpam-4128	482	247	20	20	NUM
ejpam-4128	482	248	0.02	0.02	NUM
ejpam-4128	482	249	11	11	NUM
ejpam-4128	482	250	21	21	NUM
ejpam-4128	482	251	21	21	NUM
ejpam-4128	482	252	0.02	0.02	NUM
ejpam-4128	482	253	11	11	NUM
ejpam-4128	482	254	20	20	NUM
ejpam-4128	482	255	20	20	NUM
ejpam-4128	482	256	0.02	0.02	NUM
ejpam-4128	482	257	11	11	NUM
ejpam-4128	482	258	21	21	NUM
ejpam-4128	482	259	21	21	NUM
ejpam-4128	482	260	0.02	0.02	NUM
ejpam-4128	482	261	palmer4c	palmer4c	PROPN
ejpam-4128	482	262	11	11	NUM
ejpam-4128	482	263	20	20	NUM
ejpam-4128	482	264	20	20	NUM
ejpam-4128	482	265	0.02	0.02	NUM
ejpam-4128	482	266	11	11	NUM
ejpam-4128	482	267	21	21	NUM
ejpam-4128	482	268	21	21	NUM
ejpam-4128	482	269	0.02	0.02	NUM
ejpam-4128	482	270	11	11	NUM
ejpam-4128	482	271	20	20	NUM
ejpam-4128	482	272	20	20	NUM
ejpam-4128	482	273	0.02	0.02	NUM
ejpam-4128	482	274	11	11	NUM
ejpam-4128	482	275	21	21	NUM
ejpam-4128	482	276	21	21	NUM
ejpam-4128	482	277	0.02	0.02	NUM
ejpam-4128	482	278	palmer5c	palmer5c	NOUN
ejpam-4128	482	279	6	6	NUM
ejpam-4128	482	280	13	13	NUM
ejpam-4128	482	281	7	7	NUM
ejpam-4128	482	282	0.02	0.02	NUM
ejpam-4128	482	283	6	6	NUM
ejpam-4128	482	284	13	13	NUM
ejpam-4128	482	285	7	7	NUM
ejpam-4128	482	286	0.02	0.02	NUM
ejpam-4128	482	287	6	6	NUM
ejpam-4128	482	288	13	13	NUM
ejpam-4128	482	289	7	7	NUM
ejpam-4128	482	290	0.02	0.02	NUM
ejpam-4128	482	291	6	6	NUM
ejpam-4128	482	292	13	13	NUM
ejpam-4128	482	293	7	7	NUM
ejpam-4128	482	294	0.02	0.02	NUM
ejpam-4128	482	295	palmer6c	palmer6c	PROPN
ejpam-4128	482	296	11	11	NUM
ejpam-4128	482	297	25	25	NUM
ejpam-4128	482	298	26	26	NUM
ejpam-4128	482	299	0.02	0.02	NUM
ejpam-4128	482	300	11	11	NUM
ejpam-4128	482	301	24	24	NUM
ejpam-4128	482	302	24	24	NUM
ejpam-4128	482	303	0.02	0.02	NUM
ejpam-4128	482	304	11	11	NUM
ejpam-4128	482	305	24	24	NUM
ejpam-4128	482	306	24	24	NUM
ejpam-4128	482	307	0.02	0.02	NUM
ejpam-4128	482	308	11	11	NUM
ejpam-4128	482	309	24	24	NUM
ejpam-4128	482	310	24	24	NUM
ejpam-4128	482	311	0.02	0.02	NUM
ejpam-4128	482	312	palmer7c	palmer7c	PROPN
ejpam-4128	482	313	11	11	NUM
ejpam-4128	482	314	21	21	NUM
ejpam-4128	482	315	22	22	NUM
ejpam-4128	482	316	0.02	0.02	NUM
ejpam-4128	482	317	11	11	NUM
ejpam-4128	482	318	20	20	NUM
ejpam-4128	482	319	20	20	NUM
ejpam-4128	482	320	0.02	0.02	NUM
ejpam-4128	482	321	11	11	NUM
ejpam-4128	482	322	20	20	NUM
ejpam-4128	482	323	20	20	NUM
ejpam-4128	482	324	0.02	0.02	NUM
ejpam-4128	482	325	11	11	NUM
ejpam-4128	482	326	20	20	NUM
ejpam-4128	482	327	20	20	NUM
ejpam-4128	482	328	0.02	0.02	NUM
ejpam-4128	482	329	palmer8c	palmer8c	ADJ
ejpam-4128	482	330	11	11	NUM
ejpam-4128	482	331	21	21	NUM
ejpam-4128	482	332	22	22	NUM
ejpam-4128	482	333	0.02	0.02	NUM
ejpam-4128	482	334	11	11	NUM
ejpam-4128	482	335	19	19	NUM
ejpam-4128	482	336	0.02	0.02	NUM
ejpam-4128	482	337	11	11	NUM
ejpam-4128	482	338	18	18	NUM
ejpam-4128	482	339	17	17	NUM
ejpam-4128	482	340	0.02	0.02	NUM
ejpam-4128	482	341	11	11	NUM
ejpam-4128	482	342	19	19	NUM
ejpam-4128	482	343	19	19	NUM
ejpam-4128	482	344	0.02	0.02	NUM
ejpam-4128	482	345	penalty1	penalty1	NOUN
ejpam-4128	482	346	20	20	NUM
ejpam-4128	482	347	63	63	NUM
ejpam-4128	482	348	53	53	NUM
ejpam-4128	482	349	0.02	0.02	NUM
ejpam-4128	482	350	2	2	NUM
ejpam-4128	482	351	28	28	NUM
ejpam-4128	482	352	28	28	NUM
ejpam-4128	482	353	0.02	0.02	NUM
ejpam-4128	482	354	28	28	NUM
ejpam-4128	482	355	69	69	NUM
ejpam-4128	482	356	44	44	NUM
ejpam-4128	482	357	0.02	0.02	NUM
ejpam-4128	482	358	14	14	NUM
ejpam-4128	482	359	51	51	NUM
ejpam-4128	482	360	43	43	NUM
ejpam-4128	482	361	0.02	0.02	NUM
ejpam-4128	482	362	penalty2	penalty2	NOUN
ejpam-4128	482	363	185	185	NUM
ejpam-4128	482	364	220	220	NUM
ejpam-4128	482	365	351	351	NUM
ejpam-4128	482	366	0.02	0.02	NUM
ejpam-4128	482	367	191	191	NUM
ejpam-4128	482	368	225	225	NUM
ejpam-4128	482	369	369	369	NUM
ejpam-4128	482	370	0.02	0.02	NUM
ejpam-4128	482	371	191	191	NUM
ejpam-4128	482	372	221	221	NUM
ejpam-4128	482	373	354	354	NUM
ejpam-4128	482	374	0.03	0.03	NUM
ejpam-4128	482	375	337	337	NUM
ejpam-4128	482	376	480	480	NUM
ejpam-4128	482	377	758	758	NUM
ejpam-4128	482	378	0.06	0.06	NUM
ejpam-4128	482	379	penalty3	penalty3	NOUN
ejpam-4128	482	380	79	79	NUM
ejpam-4128	482	381	247	247	NUM
ejpam-4128	482	382	201	201	NUM
ejpam-4128	482	383	0.83	0.83	NUM
ejpam-4128	482	384	51	51	NUM
ejpam-4128	482	385	148	148	NUM
ejpam-4128	482	386	110	110	NUM
ejpam-4128	482	387	0.84	0.84	NUM
ejpam-4128	482	388	99	99	NUM
ejpam-4128	482	389	285	285	NUM
ejpam-4128	482	390	219	219	NUM
ejpam-4128	482	391	1.74	1.74	NUM
ejpam-4128	482	392	102	102	NUM
ejpam-4128	482	393	346	346	NUM
ejpam-4128	482	394	290	290	NUM
ejpam-4128	482	395	2.19	2.19	NUM
ejpam-4128	482	396	appendix	appendix	NOUN
ejpam-4128	482	397	1455	1455	NUM
ejpam-4128	482	398	ftcgls	ftcgls	NOUN
ejpam-4128	482	399	ftcghs	ftcgh	NOUN
ejpam-4128	482	400	cgdescent	cgdescent	PROPN
ejpam-4128	482	401	dl+	dl+	PROPN
ejpam-4128	482	402	powellbsls	powellbsls	NOUN
ejpam-4128	482	403	38	38	NUM
ejpam-4128	482	404	148	148	NUM
ejpam-4128	482	405	123	123	NUM
ejpam-4128	482	406	0.02	0.02	NUM
ejpam-4128	482	407	50	50	NUM
ejpam-4128	482	408	211	211	NUM
ejpam-4128	482	409	234	234	NUM
ejpam-4128	482	410	0.02	0.02	NUM
ejpam-4128	482	411	61	61	NUM
ejpam-4128	482	412	247	247	NUM
ejpam-4128	482	413	246	246	NUM
ejpam-4128	482	414	0.02	0.02	NUM
ejpam-4128	482	415	50	50	NUM
ejpam-4128	482	416	211	211	NUM
ejpam-4128	482	417	234	234	NUM
ejpam-4128	482	418	0.02	0.02	NUM
ejpam-4128	482	419	powellsg	powellsg	NOUN
ejpam-4128	482	420	26	26	NUM
ejpam-4128	482	421	63	63	NUM
ejpam-4128	482	422	44	44	NUM
ejpam-4128	482	423	0.02	0.02	NUM
ejpam-4128	482	424	30	30	NUM
ejpam-4128	482	425	83	83	NUM
ejpam-4128	482	426	63	63	NUM
ejpam-4128	482	427	0.05	0.05	NUM
ejpam-4128	482	428	26	26	NUM
ejpam-4128	482	429	53	53	NUM
ejpam-4128	482	430	27	27	NUM
ejpam-4128	482	431	0.03	0.03	NUM
ejpam-4128	482	432	36	36	NUM
ejpam-4128	482	433	92	92	NUM
ejpam-4128	482	434	65	65	NUM
ejpam-4128	482	435	0.05	0.05	NUM
ejpam-4128	482	436	0.4	0.4	NUM
ejpam-4128	482	437	357	357	NUM
ejpam-4128	482	438	731	731	NUM
ejpam-4128	482	439	382	382	NUM
ejpam-4128	482	440	0.7	0.7	NUM
ejpam-4128	482	441	355	355	NUM
ejpam-4128	482	442	724	724	NUM
ejpam-4128	482	443	376	376	NUM
ejpam-4128	482	444	0.59	0.59	NUM
ejpam-4128	482	445	372	372	NUM
ejpam-4128	482	446	754	754	NUM
ejpam-4128	482	447	384	384	NUM
ejpam-4128	482	448	0.58	0.58	NUM
ejpam-4128	482	449	356	356	NUM
ejpam-4128	482	450	733	733	NUM
ejpam-4128	482	451	391	391	NUM
ejpam-4128	482	452	0.58	0.58	NUM
ejpam-4128	482	453	powersum	powersum	NOUN
ejpam-4128	482	454	5	5	NUM
ejpam-4128	482	455	11	11	NUM
ejpam-4128	482	456	6	6	NUM
ejpam-4128	482	457	0.02	0.02	NUM
ejpam-4128	482	458	4	4	NUM
ejpam-4128	482	459	10	10	NUM
ejpam-4128	482	460	6	6	NUM
ejpam-4128	482	461	0.59	0.59	NUM
ejpam-4128	482	462	5	5	NUM
ejpam-4128	482	463	11	11	NUM
ejpam-4128	482	464	6	6	NUM
ejpam-4128	482	465	0.02	0.02	NUM
ejpam-4128	482	466	4	4	NUM
ejpam-4128	482	467	10	10	NUM
ejpam-4128	482	468	6	6	NUM
ejpam-4128	482	469	0.02	0.02	NUM
ejpam-4128	482	470	price3	price3	NOUN
ejpam-4128	482	471	11	11	NUM
ejpam-4128	482	472	26	26	NUM
ejpam-4128	482	473	18	18	NUM
ejpam-4128	482	474	0.02	0.02	NUM
ejpam-4128	482	475	10	10	NUM
ejpam-4128	482	476	25	25	NUM
ejpam-4128	482	477	17	17	NUM
ejpam-4128	482	478	0.02	0.02	NUM
ejpam-4128	482	479	11	11	NUM
ejpam-4128	482	480	23	23	NUM
ejpam-4128	482	481	12	12	NUM
ejpam-4128	482	482	0.02	0.02	NUM
ejpam-4128	482	483	10	10	NUM
ejpam-4128	482	484	25	25	NUM
ejpam-4128	482	485	17	17	NUM
ejpam-4128	482	486	0.02	0.02	NUM
ejpam-4128	482	487	price4	price4	NOUN
ejpam-4128	482	488	10	10	NUM
ejpam-4128	482	489	28	28	NUM
ejpam-4128	482	490	21	21	NUM
ejpam-4128	482	491	0.02	0.02	NUM
ejpam-4128	482	492	9	9	NUM
ejpam-4128	482	493	30	30	NUM
ejpam-4128	482	494	23	23	NUM
ejpam-4128	482	495	0.02	0.02	NUM
ejpam-4128	482	496	16	16	NUM
ejpam-4128	482	497	32	32	NUM
ejpam-4128	482	498	18	18	NUM
ejpam-4128	482	499	0.02	0.02	NUM
ejpam-4128	482	500	9	9	NUM
ejpam-4128	482	501	30	30	NUM
ejpam-4128	482	502	23	23	NUM
ejpam-4128	482	503	0.02	0.02	NUM
ejpam-4128	482	504	qing	qe	VERB
ejpam-4128	482	505	68	68	NUM
ejpam-4128	482	506	135	135	NUM
ejpam-4128	482	507	87	87	NUM
ejpam-4128	482	508	0.03	0.03	NUM
ejpam-4128	482	509	67	67	NUM
ejpam-4128	482	510	134	134	NUM
ejpam-4128	482	511	85	85	NUM
ejpam-4128	482	512	0.03	0.03	NUM
ejpam-4128	482	513	68	68	NUM
ejpam-4128	482	514	135	135	NUM
ejpam-4128	482	515	84	84	NUM
ejpam-4128	482	516	0.02	0.02	NUM
ejpam-4128	482	517	85	85	NUM
ejpam-4128	482	518	179	179	NUM
ejpam-4128	482	519	96	96	NUM
ejpam-4128	482	520	0.02	0.02	NUM
ejpam-4128	482	521	quartc	quartc	NOUN
ejpam-4128	482	522	15	15	NUM
ejpam-4128	482	523	32	32	NUM
ejpam-4128	482	524	18	18	NUM
ejpam-4128	482	525	0.02	0.02	NUM
ejpam-4128	482	526	37	37	NUM
ejpam-4128	482	527	167	167	NUM
ejpam-4128	482	528	155	155	NUM
ejpam-4128	482	529	0.08	0.08	NUM
ejpam-4128	482	530	17	17	NUM
ejpam-4128	482	531	37	37	NUM
ejpam-4128	482	532	21	21	NUM
ejpam-4128	482	533	0.02	0.02	NUM
ejpam-4128	482	534	15	15	NUM
ejpam-4128	482	535	32	32	NUM
ejpam-4128	482	536	18	18	NUM
ejpam-4128	482	537	0.02	0.02	NUM
ejpam-4128	482	538	rat43ls.sif	rat43ls.sif	NOUN
ejpam-4128	482	539	5	5	NUM
ejpam-4128	482	540	55	55	NUM
ejpam-4128	482	541	317	317	NUM
ejpam-4128	482	542	0.02	0.02	NUM
ejpam-4128	482	543	44	44	NUM
ejpam-4128	482	544	156	156	NUM
ejpam-4128	482	545	122	122	NUM
ejpam-4128	482	546	0.02	0.02	NUM
ejpam-4128	482	547	54	54	NUM
ejpam-4128	482	548	145	145	NUM
ejpam-4128	482	549	97	97	NUM
ejpam-4128	482	550	0.02	0.02	NUM
ejpam-4128	482	551	44	44	NUM
ejpam-4128	482	552	156	156	NUM
ejpam-4128	482	553	122	122	NUM
ejpam-4128	482	554	0.02	0.02	NUM
ejpam-4128	482	555	recipels.sif	recipels.sif	X
ejpam-4128	482	556	14	14	NUM
ejpam-4128	482	557	36	36	NUM
ejpam-4128	482	558	26	26	NUM
ejpam-4128	482	559	0.02	0.02	NUM
ejpam-4128	482	560	16	16	NUM
ejpam-4128	482	561	49	49	NUM
ejpam-4128	482	562	38	38	NUM
ejpam-4128	482	563	0.02	0.02	NUM
ejpam-4128	482	564	27	27	NUM
ejpam-4128	482	565	58	58	NUM
ejpam-4128	482	566	32	32	NUM
ejpam-4128	482	567	0.02	0.02	NUM
ejpam-4128	482	568	16	16	NUM
ejpam-4128	482	569	49	49	NUM
ejpam-4128	482	570	38	38	NUM
ejpam-4128	482	571	0.02	0.02	NUM
ejpam-4128	482	572	rosenbr	rosenbr	ADJ
ejpam-4128	482	573	24	24	NUM
ejpam-4128	482	574	77	77	NUM
ejpam-4128	482	575	61	61	NUM
ejpam-4128	482	576	0.02	0.02	NUM
ejpam-4128	482	577	28	28	NUM
ejpam-4128	482	578	84	84	NUM
ejpam-4128	482	579	65	65	NUM
ejpam-4128	482	580	0.02	0.02	NUM
ejpam-4128	482	581	34	34	NUM
ejpam-4128	482	582	77	77	NUM
ejpam-4128	482	583	44	44	NUM
ejpam-4128	482	584	0.02	0.02	NUM
ejpam-4128	482	585	28	28	NUM
ejpam-4128	482	586	84	84	NUM
ejpam-4128	482	587	65	65	NUM
ejpam-4128	482	588	0.02	0.02	NUM
ejpam-4128	482	589	rosenbrtu.sif	rosenbrtu.sif	X
ejpam-4128	482	590	39	39	NUM
ejpam-4128	482	591	166	166	NUM
ejpam-4128	482	592	141	141	NUM
ejpam-4128	482	593	0.02	0.02	NUM
ejpam-4128	482	594	37	37	NUM
ejpam-4128	482	595	175	175	NUM
ejpam-4128	482	596	153	153	NUM
ejpam-4128	482	597	0.02	0.02	NUM
ejpam-4128	482	598	49	49	NUM
ejpam-4128	482	599	156	156	NUM
ejpam-4128	482	600	113	113	NUM
ejpam-4128	482	601	0.02	0.02	NUM
ejpam-4128	482	602	37	37	NUM
ejpam-4128	482	603	175	175	NUM
ejpam-4128	482	604	153	153	NUM
ejpam-4128	482	605	0.02	0.02	NUM
ejpam-4128	482	606	s308	s308	NUM
ejpam-4128	482	607	7	7	NUM
ejpam-4128	482	608	20	20	NUM
ejpam-4128	482	609	16	16	NUM
ejpam-4128	482	610	0.02	0.02	NUM
ejpam-4128	482	611	7	7	NUM
ejpam-4128	482	612	21	21	NUM
ejpam-4128	482	613	17	17	NUM
ejpam-4128	482	614	0.02	0.02	NUM
ejpam-4128	482	615	8	8	NUM
ejpam-4128	482	616	19	19	NUM
ejpam-4128	482	617	12	12	NUM
ejpam-4128	482	618	0.02	0.02	NUM
ejpam-4128	482	619	7	7	NUM
ejpam-4128	482	620	21	21	NUM
ejpam-4128	482	621	17	17	NUM
ejpam-4128	482	622	0.02	0.02	NUM
ejpam-4128	482	623	schmvett	schmvett	NOUN
ejpam-4128	482	624	43	43	NUM
ejpam-4128	482	625	74	74	NUM
ejpam-4128	482	626	59	59	NUM
ejpam-4128	482	627	0.02	0.02	NUM
ejpam-4128	482	628	38	38	NUM
ejpam-4128	482	629	69	69	NUM
ejpam-4128	482	630	52	52	NUM
ejpam-4128	482	631	0.17	0.17	NUM
ejpam-4128	482	632	43	43	NUM
ejpam-4128	482	633	73	73	NUM
ejpam-4128	482	634	60	60	NUM
ejpam-4128	482	635	0.02	0.02	NUM
ejpam-4128	482	636	59	59	NUM
ejpam-4128	482	637	103	103	NUM
ejpam-4128	482	638	88	88	NUM
ejpam-4128	482	639	0.28	0.28	NUM
ejpam-4128	482	640	sensors	sensor	NOUN
ejpam-4128	482	641	21	21	NUM
ejpam-4128	482	642	57	57	NUM
ejpam-4128	482	643	41	41	NUM
ejpam-4128	482	644	0.02	0.02	NUM
ejpam-4128	482	645	25	25	NUM
ejpam-4128	482	646	68	68	NUM
ejpam-4128	482	647	47	47	NUM
ejpam-4128	482	648	0.38	0.38	NUM
ejpam-4128	482	649	21	21	NUM
ejpam-4128	482	650	50	50	NUM
ejpam-4128	482	651	34	34	NUM
ejpam-4128	482	652	0.02	0.02	NUM
ejpam-4128	482	653	24	24	NUM
ejpam-4128	482	654	71	71	NUM
ejpam-4128	482	655	53	53	NUM
ejpam-4128	482	656	0.47	0.47	NUM
ejpam-4128	482	657	sineval	sineval	NOUN
ejpam-4128	482	658	41	41	NUM
ejpam-4128	482	659	155	155	NUM
ejpam-4128	482	660	129	129	NUM
ejpam-4128	482	661	0.02	0.02	NUM
ejpam-4128	482	662	46	46	NUM
ejpam-4128	482	663	181	181	NUM
ejpam-4128	482	664	153	153	NUM
ejpam-4128	482	665	0.02	0.02	NUM
ejpam-4128	482	666	64	64	NUM
ejpam-4128	482	667	144	144	NUM
ejpam-4128	482	668	88	88	NUM
ejpam-4128	482	669	0.02	0.02	NUM
ejpam-4128	482	670	46	46	NUM
ejpam-4128	482	671	181	181	NUM
ejpam-4128	482	672	153	153	NUM
ejpam-4128	482	673	0.02	0.02	NUM
ejpam-4128	482	674	sinquad	sinquad	NOUN
ejpam-4128	482	675	14	14	NUM
ejpam-4128	482	676	40	40	NUM
ejpam-4128	482	677	32	32	NUM
ejpam-4128	482	678	0.08	0.08	NUM
ejpam-4128	482	679	14	14	NUM
ejpam-4128	482	680	43	43	NUM
ejpam-4128	482	681	34	34	NUM
ejpam-4128	482	682	0.08	0.08	NUM
ejpam-4128	482	683	14	14	NUM
ejpam-4128	482	684	40	40	NUM
ejpam-4128	482	685	33	33	NUM
ejpam-4128	482	686	0.08	0.08	NUM
ejpam-4128	482	687	13	13	NUM
ejpam-4128	482	688	46	46	NUM
ejpam-4128	482	689	38	38	NUM
ejpam-4128	482	690	0.09	0.09	NUM
ejpam-4128	482	691	sisser	sisser	NOUN
ejpam-4128	482	692	6	6	NUM
ejpam-4128	482	693	22	22	NUM
ejpam-4128	482	694	21	21	NUM
ejpam-4128	482	695	0.02	0.02	NUM
ejpam-4128	482	696	5	5	NUM
ejpam-4128	482	697	19	19	NUM
ejpam-4128	482	698	19	19	NUM
ejpam-4128	482	699	0.08	0.08	NUM
ejpam-4128	482	700	6	6	NUM
ejpam-4128	482	701	18	18	NUM
ejpam-4128	482	702	14	14	NUM
ejpam-4128	482	703	0.02	0.02	NUM
ejpam-4128	482	704	5	5	NUM
ejpam-4128	482	705	19	19	NUM
ejpam-4128	482	706	19	19	NUM
ejpam-4128	482	707	0.02	0.02	NUM
ejpam-4128	482	708	snail	snail	NOUN
ejpam-4128	482	709	15	15	NUM
ejpam-4128	482	710	48	48	NUM
ejpam-4128	482	711	36	36	NUM
ejpam-4128	482	712	0.02	0.02	NUM
ejpam-4128	482	713	61	61	NUM
ejpam-4128	482	714	251	251	NUM
ejpam-4128	482	715	211	211	NUM
ejpam-4128	482	716	0.02	0.02	NUM
ejpam-4128	482	717	100	100	NUM
ejpam-4128	482	718	230	230	NUM
ejpam-4128	482	719	132	132	NUM
ejpam-4128	482	720	0.02	0.02	NUM
ejpam-4128	482	721	61	61	NUM
ejpam-4128	482	722	251	251	NUM
ejpam-4128	482	723	211	211	NUM
ejpam-4128	482	724	0.02	0.02	NUM
ejpam-4128	482	725	srosenbr	srosenbr	NOUN
ejpam-4128	482	726	9	9	NUM
ejpam-4128	482	727	23	23	NUM
ejpam-4128	482	728	16	16	NUM
ejpam-4128	482	729	0.02	0.02	NUM
ejpam-4128	482	730	9	9	NUM
ejpam-4128	482	731	25	25	NUM
ejpam-4128	482	732	19	19	NUM
ejpam-4128	482	733	1.14	1.14	NUM
ejpam-4128	482	734	11	11	NUM
ejpam-4128	482	735	23	23	NUM
ejpam-4128	482	736	12	12	NUM
ejpam-4128	482	737	0.02	0.02	NUM
ejpam-4128	482	738	9	9	NUM
ejpam-4128	482	739	23	23	NUM
ejpam-4128	482	740	15	15	NUM
ejpam-4128	482	741	0.02	0.02	NUM
ejpam-4128	482	742	ssi	ssi	NOUN
ejpam-4128	482	743	276	276	NUM
ejpam-4128	482	744	892	892	NUM
ejpam-4128	482	745	1063	1063	NUM
ejpam-4128	482	746	0.02	0.02	NUM
ejpam-4128	482	747	307	307	NUM
ejpam-4128	482	748	1162	1162	NUM
ejpam-4128	482	749	990	990	NUM
ejpam-4128	482	750	0.02	0.02	NUM
ejpam-4128	482	751	345	345	NUM
ejpam-4128	482	752	948	948	NUM
ejpam-4128	482	753	657	657	NUM
ejpam-4128	482	754	0.02	0.02	NUM
ejpam-4128	482	755	307	307	NUM
ejpam-4128	482	756	1162	1162	NUM
ejpam-4128	482	757	990	990	NUM
ejpam-4128	482	758	0.02	0.02	NUM
ejpam-4128	482	759	streg	streg	NOUN
ejpam-4128	482	760	58	58	NUM
ejpam-4128	482	761	184	184	NUM
ejpam-4128	482	762	146	146	NUM
ejpam-4128	482	763	0.02	0.02	NUM
ejpam-4128	482	764	60	60	NUM
ejpam-4128	482	765	218	218	NUM
ejpam-4128	482	766	180	180	NUM
ejpam-4128	482	767	0.02	0.02	NUM
ejpam-4128	482	768	96	96	NUM
ejpam-4128	482	769	224	224	NUM
ejpam-4128	482	770	139	139	NUM
ejpam-4128	482	771	0.02	0.02	NUM
ejpam-4128	482	772	60	60	NUM
ejpam-4128	482	773	218	218	NUM
ejpam-4128	482	774	180	180	NUM
ejpam-4128	482	775	0.02	0.02	NUM
ejpam-4128	482	776	stratec	stratec	NOUN
ejpam-4128	482	777	158	158	NUM
ejpam-4128	482	778	353	353	NUM
ejpam-4128	482	779	232	232	NUM
ejpam-4128	482	780	5.58	5.58	NUM
ejpam-4128	482	781	170	170	NUM
ejpam-4128	482	782	419	419	NUM
ejpam-4128	482	783	283	283	NUM
ejpam-4128	482	784	6.33	6.33	NUM
ejpam-4128	482	785	462	462	NUM
ejpam-4128	482	786	1043	1043	NUM
ejpam-4128	482	787	796	796	NUM
ejpam-4128	482	788	19	19	NUM
ejpam-4128	482	789	170	170	NUM
ejpam-4128	482	790	419	419	NUM
ejpam-4128	482	791	283	283	NUM
ejpam-4128	482	792	6.3	6.3	NUM
ejpam-4128	482	793	strtchdv.sif	strtchdv.sif	X
ejpam-4128	482	794	11	11	NUM
ejpam-4128	482	795	36	36	NUM
ejpam-4128	482	796	33	33	NUM
ejpam-4128	482	797	0.02	0.02	NUM
ejpam-4128	482	798	12	12	NUM
ejpam-4128	482	799	38	38	NUM
ejpam-4128	482	800	32	32	NUM
ejpam-4128	482	801	0.02	0.02	NUM
ejpam-4128	482	802	16	16	NUM
ejpam-4128	482	803	35	35	NUM
ejpam-4128	482	804	20	20	NUM
ejpam-4128	482	805	0.02	0.02	NUM
ejpam-4128	482	806	12	12	NUM
ejpam-4128	482	807	38	38	NUM
ejpam-4128	482	808	32	32	NUM
ejpam-4128	482	809	0.02	0.02	NUM
ejpam-4128	482	810	testquad	testquad	PROPN
ejpam-4128	482	811	1573	1573	NUM
ejpam-4128	482	812	1580	1580	NUM
ejpam-4128	482	813	3141	3141	NUM
ejpam-4128	482	814	1.2	1.2	NUM
ejpam-4128	482	815	1580	1580	NUM
ejpam-4128	482	816	1587	1587	NUM
ejpam-4128	482	817	3155	3155	NUM
ejpam-4128	482	818	1.52	1.52	NUM
ejpam-4128	482	819	1577	1577	NUM
ejpam-4128	482	820	1584	1584	NUM
ejpam-4128	482	821	3149	3149	NUM
ejpam-4128	482	822	1.28	1.28	NUM
ejpam-4128	482	823	20325	20325	NUM
ejpam-4128	482	824	20361	20361	NUM
ejpam-4128	482	825	40674	40674	NUM
ejpam-4128	482	826	21.61	21.61	NUM
ejpam-4128	482	827	thurberls	thurberl	NOUN
ejpam-4128	482	828	84	84	NUM
ejpam-4128	482	829	213	213	NUM
ejpam-4128	482	830	146	146	NUM
ejpam-4128	482	831	0.02	0.02	NUM
ejpam-4128	482	832	105	105	NUM
ejpam-4128	482	833	259	259	NUM
ejpam-4128	482	834	216	216	NUM
ejpam-4128	482	835	0.02	0.02	NUM
ejpam-4128	482	836	102	102	NUM
ejpam-4128	482	837	232	232	NUM
ejpam-4128	482	838	175	175	NUM
ejpam-4128	482	839	0.02	0.02	NUM
ejpam-4128	482	840	105	105	NUM
ejpam-4128	482	841	259	259	NUM
ejpam-4128	482	842	216	216	NUM
ejpam-4128	482	843	0.02	0.02	NUM
ejpam-4128	482	844	tointgor	tointgor	ADJ
ejpam-4128	482	845	122	122	NUM
ejpam-4128	482	846	216	216	NUM
ejpam-4128	482	847	154	154	NUM
ejpam-4128	482	848	0.02	0.02	NUM
ejpam-4128	482	849	118	118	NUM
ejpam-4128	482	850	216	216	NUM
ejpam-4128	482	851	154	154	NUM
ejpam-4128	482	852	0.02	0.02	NUM
ejpam-4128	482	853	135	135	NUM
ejpam-4128	482	854	233	233	NUM
ejpam-4128	482	855	174	174	NUM
ejpam-4128	482	856	0.02	0.02	NUM
ejpam-4128	482	857	192	192	NUM
ejpam-4128	482	858	348	348	NUM
ejpam-4128	482	859	270	270	NUM
ejpam-4128	482	860	0.02	0.02	NUM
ejpam-4128	482	861	tointgss	tointgss	NOUN
ejpam-4128	482	862	4	4	NUM
ejpam-4128	482	863	9	9	NUM
ejpam-4128	482	864	5	5	NUM
ejpam-4128	482	865	0.02	0.02	NUM
ejpam-4128	482	866	4	4	NUM
ejpam-4128	482	867	10	10	NUM
ejpam-4128	482	868	7	7	NUM
ejpam-4128	482	869	0.02	0.02	NUM
ejpam-4128	482	870	4	4	NUM
ejpam-4128	482	871	9	9	NUM
ejpam-4128	482	872	5	5	NUM
ejpam-4128	482	873	0.02	0.02	NUM
ejpam-4128	482	874	4	4	NUM
ejpam-4128	482	875	9	9	NUM
ejpam-4128	482	876	5	5	NUM
ejpam-4128	482	877	0.02	0.02	NUM
ejpam-4128	482	878	tointpsp	tointpsp	NOUN
ejpam-4128	482	879	162	162	NUM
ejpam-4128	482	880	343	343	NUM
ejpam-4128	482	881	259	259	NUM
ejpam-4128	482	882	0.02	0.02	NUM
ejpam-4128	482	883	151	151	NUM
ejpam-4128	482	884	319	319	NUM
ejpam-4128	482	885	250	250	NUM
ejpam-4128	482	886	0.02	0.02	NUM
ejpam-4128	482	887	143	143	NUM
ejpam-4128	482	888	279	279	NUM
ejpam-4128	482	889	182	182	NUM
ejpam-4128	482	890	0.02	0.02	NUM
ejpam-4128	482	891	145	145	NUM
ejpam-4128	482	892	313	313	NUM
ejpam-4128	482	893	250	250	NUM
ejpam-4128	482	894	0.02	0.02	NUM
ejpam-4128	482	895	tointqor	tointqor	NOUN
ejpam-4128	482	896	29	29	NUM
ejpam-4128	482	897	36	36	NUM
ejpam-4128	482	898	53	53	NUM
ejpam-4128	482	899	0.02	0.02	NUM
ejpam-4128	482	900	29	29	NUM
ejpam-4128	482	901	36	36	NUM
ejpam-4128	482	902	53	53	NUM
ejpam-4128	482	903	0.02	0.02	NUM
ejpam-4128	482	904	29	29	NUM
ejpam-4128	482	905	36	36	NUM
ejpam-4128	482	906	53	53	NUM
ejpam-4128	482	907	0.02	0.02	NUM
ejpam-4128	482	908	49	49	NUM
ejpam-4128	482	909	56	56	NUM
ejpam-4128	482	910	93	93	NUM
ejpam-4128	482	911	0.02	0.02	NUM
ejpam-4128	482	912	tquartic	tquartic	ADJ
ejpam-4128	482	913	11	11	NUM
ejpam-4128	482	914	39	39	NUM
ejpam-4128	482	915	32	32	NUM
ejpam-4128	482	916	0.02	0.02	NUM
ejpam-4128	482	917	13	13	NUM
ejpam-4128	482	918	45	45	NUM
ejpam-4128	482	919	37	37	NUM
ejpam-4128	482	920	0.03	0.03	NUM
ejpam-4128	482	921	14	14	NUM
ejpam-4128	482	922	40	40	NUM
ejpam-4128	482	923	27	27	NUM
ejpam-4128	482	924	0.02	0.02	NUM
ejpam-4128	482	925	11	11	NUM
ejpam-4128	482	926	41	41	NUM
ejpam-4128	482	927	34	34	NUM
ejpam-4128	482	928	0.03	0.03	NUM
ejpam-4128	482	929	tridia	tridia	NOUN
ejpam-4128	482	930	780	780	NUM
ejpam-4128	482	931	787	787	NUM
ejpam-4128	482	932	1555	1555	NUM
ejpam-4128	482	933	0.75	0.75	NUM
ejpam-4128	482	934	780	780	NUM
ejpam-4128	482	935	787	787	NUM
ejpam-4128	482	936	1555	1555	NUM
ejpam-4128	482	937	1.03	1.03	NUM
ejpam-4128	482	938	782	782	NUM
ejpam-4128	482	939	7889	7889	NUM
ejpam-4128	482	940	155	155	NUM
ejpam-4128	482	941	0.89	0.89	NUM
ejpam-4128	482	942	469	469	NUM
ejpam-4128	482	943	4721	4721	NUM
ejpam-4128	482	944	9408	9408	NUM
ejpam-4128	482	945	6.38	6.38	NUM
ejpam-4128	482	946	appendix	appendix	NOUN
ejpam-4128	482	947	1456	1456	NUM
ejpam-4128	482	948	ftcgls	ftcgls	NOUN
ejpam-4128	482	949	ftcghs	ftcgh	NOUN
ejpam-4128	482	950	cgdescent	cgdescent	PROPN
ejpam-4128	482	951	dl+	dl+	PROPN
ejpam-4128	482	952	trigon1.sif	trigon1.sif	PUNCT
ejpam-4128	482	953	19	19	NUM
ejpam-4128	482	954	40	40	NUM
ejpam-4128	482	955	21	21	NUM
ejpam-4128	482	956	0.02	0.02	NUM
ejpam-4128	482	957	19	19	NUM
ejpam-4128	482	958	41	41	NUM
ejpam-4128	482	959	22	22	NUM
ejpam-4128	482	960	0.02	0.02	NUM
ejpam-4128	482	961	22	22	NUM
ejpam-4128	482	962	45	45	NUM
ejpam-4128	482	963	23	23	NUM
ejpam-4128	482	964	0.02	0.02	NUM
ejpam-4128	482	965	19	19	NUM
ejpam-4128	482	966	41	41	NUM
ejpam-4128	482	967	22	22	NUM
ejpam-4128	482	968	0.02	0.02	NUM
ejpam-4128	482	969	trigon2.sif	trigon2.sif	NOUN
ejpam-4128	482	970	25	25	NUM
ejpam-4128	482	971	58	58	NUM
ejpam-4128	482	972	37	37	NUM
ejpam-4128	482	973	0.02	0.02	NUM
ejpam-4128	482	974	22	22	NUM
ejpam-4128	482	975	57	57	NUM
ejpam-4128	482	976	43	43	NUM
ejpam-4128	482	977	0.02	0.02	NUM
ejpam-4128	482	978	26	26	NUM
ejpam-4128	482	979	52	52	NUM
ejpam-4128	482	980	28	28	NUM
ejpam-4128	482	981	0.02	0.02	NUM
ejpam-4128	482	982	22	22	NUM
ejpam-4128	482	983	57	57	NUM
ejpam-4128	482	984	43	43	NUM
ejpam-4128	482	985	0.02	0.02	NUM
ejpam-4128	482	986	vandanmsls.sif8	vandanmsls.sif8	PROPN
ejpam-4128	482	987	27	27	NUM
ejpam-4128	482	988	20	20	NUM
ejpam-4128	482	989	0.02	0.02	NUM
ejpam-4128	482	990	8	8	NUM
ejpam-4128	482	991	25	25	NUM
ejpam-4128	482	992	18	18	NUM
ejpam-4128	482	993	0.02	0.02	NUM
ejpam-4128	482	994	5	5	NUM
ejpam-4128	482	995	12	12	NUM
ejpam-4128	482	996	7	7	NUM
ejpam-4128	482	997	0.02	0.02	NUM
ejpam-4128	482	998	5	5	NUM
ejpam-4128	482	999	11	11	NUM
ejpam-4128	482	1000	6	6	NUM
ejpam-4128	482	1001	0.02	0.02	NUM
ejpam-4128	482	1002	vardim	vardim	NOUN
ejpam-4128	482	1003	7	7	NUM
ejpam-4128	482	1004	20	20	NUM
ejpam-4128	482	1005	17	17	NUM
ejpam-4128	482	1006	0.02	0.02	NUM
ejpam-4128	482	1007	1	1	NUM
ejpam-4128	482	1008	4	4	NUM
ejpam-4128	482	1009	4	4	NUM
ejpam-4128	482	1010	0.02	0.02	NUM
ejpam-4128	482	1011	10	10	NUM
ejpam-4128	482	1012	21	21	NUM
ejpam-4128	482	1013	11	11	NUM
ejpam-4128	482	1014	0.02	0.02	NUM
ejpam-4128	482	1015	9	9	NUM
ejpam-4128	482	1016	20	20	NUM
ejpam-4128	482	1017	15	15	NUM
ejpam-4128	482	1018	0.02	0.02	NUM
ejpam-4128	482	1019	vareigvl	vareigvl	NOUN
ejpam-4128	482	1020	24	24	NUM
ejpam-4128	482	1021	51	51	NUM
ejpam-4128	482	1022	29	29	NUM
ejpam-4128	482	1023	0.02	0.02	NUM
ejpam-4128	482	1024	27	27	NUM
ejpam-4128	482	1025	60	60	NUM
ejpam-4128	482	1026	37	37	NUM
ejpam-4128	482	1027	0.02	0.02	NUM
ejpam-4128	482	1028	23	23	NUM
ejpam-4128	482	1029	47	47	NUM
ejpam-4128	482	1030	21	21	NUM
ejpam-4128	482	1031	0.02	0.02	NUM
ejpam-4128	482	1032	28	28	NUM
ejpam-4128	482	1033	71	71	NUM
ejpam-4128	482	1034	51	51	NUM
ejpam-4128	482	1035	0.02	0.02	NUM
ejpam-4128	482	1036	vesuvials	vesuvial	NOUN
ejpam-4128	482	1037	1136	1136	NUM
ejpam-4128	482	1038	1496	1496	NUM
ejpam-4128	482	1039	2821	2821	NUM
ejpam-4128	482	1040	0.02	0.02	NUM
ejpam-4128	482	1041	1262	1262	NUM
ejpam-4128	482	1042	1954	1954	NUM
ejpam-4128	482	1043	3155	3155	NUM
ejpam-4128	482	1044	0.02	0.02	NUM
ejpam-4128	482	1045	1519	1519	NUM
ejpam-4128	482	1046	2317	2317	NUM
ejpam-4128	482	1047	4111	4111	NUM
ejpam-4128	482	1048	1.56	1.56	NUM
ejpam-4128	482	1049	1262	1262	NUM
ejpam-4128	482	1050	1954	1954	NUM
ejpam-4128	482	1051	3155	3155	NUM
ejpam-4128	482	1052	1.22	1.22	NUM
ejpam-4128	482	1053	vesuviouls	vesuvioul	NOUN
ejpam-4128	482	1054	72	72	NUM
ejpam-4128	482	1055	168	168	NUM
ejpam-4128	482	1056	117	117	NUM
ejpam-4128	482	1057	0.02	0.02	NUM
ejpam-4128	482	1058	79	79	NUM
ejpam-4128	482	1059	211	211	NUM
ejpam-4128	482	1060	173	173	NUM
ejpam-4128	482	1061	0.02	0.02	NUM
ejpam-4128	482	1062	80	80	NUM
ejpam-4128	482	1063	180	180	NUM
ejpam-4128	482	1064	131	131	NUM
ejpam-4128	482	1065	0.06	0.06	NUM
ejpam-4128	482	1066	79	79	NUM
ejpam-4128	482	1067	211	211	NUM
ejpam-4128	482	1068	173	173	NUM
ejpam-4128	482	1069	0.09	0.09	NUM
ejpam-4128	482	1070	vibrbeam	vibrbeam	NOUN
ejpam-4128	482	1071	233	233	NUM
ejpam-4128	482	1072	552	552	NUM
ejpam-4128	482	1073	415	415	NUM
ejpam-4128	482	1074	0.02	0.02	NUM
ejpam-4128	482	1075	98	98	NUM
ejpam-4128	482	1076	255	255	NUM
ejpam-4128	482	1077	174	174	NUM
ejpam-4128	482	1078	0.02	0.02	NUM
ejpam-4128	482	1079	138	138	NUM
ejpam-4128	482	1080	323	323	NUM
ejpam-4128	482	1081	199	199	NUM
ejpam-4128	482	1082	0.02	0.02	NUM
ejpam-4128	482	1083	98	98	NUM
ejpam-4128	482	1084	255	255	NUM
ejpam-4128	482	1085	174	174	NUM
ejpam-4128	482	1086	0.02	0.02	NUM
ejpam-4128	482	1087	waysea1	waysea1	NOUN
ejpam-4128	482	1088	12	12	NUM
ejpam-4128	482	1089	49	49	NUM
ejpam-4128	482	1090	41	41	NUM
ejpam-4128	482	1091	0.02	0.02	NUM
ejpam-4128	482	1092	11	11	NUM
ejpam-4128	482	1093	55	55	NUM
ejpam-4128	482	1094	50	50	NUM
ejpam-4128	482	1095	0.02	0.02	NUM
ejpam-4128	482	1096	18	18	NUM
ejpam-4128	482	1097	39	39	NUM
ejpam-4128	482	1098	22	22	NUM
ejpam-4128	482	1099	0.02	0.02	NUM
ejpam-4128	482	1100	11	11	NUM
ejpam-4128	482	1101	55	55	NUM
ejpam-4128	482	1102	50	50	NUM
ejpam-4128	482	1103	0.02	0.02	NUM
ejpam-4128	482	1104	waysea2	waysea2	NOUN
ejpam-4128	482	1105	9	9	NUM
ejpam-4128	482	1106	28	28	NUM
ejpam-4128	482	1107	23	23	NUM
ejpam-4128	482	1108	0.02	0.02	NUM
ejpam-4128	482	1109	9	9	NUM
ejpam-4128	482	1110	28	28	NUM
ejpam-4128	482	1111	23	23	NUM
ejpam-4128	482	1112	0.02	0.02	NUM
ejpam-4128	482	1113	31	31	NUM
ejpam-4128	482	1114	68	68	NUM
ejpam-4128	482	1115	39	39	NUM
ejpam-4128	482	1116	0.02	0.02	NUM
ejpam-4128	482	1117	9	9	NUM
ejpam-4128	482	1118	28	28	NUM
ejpam-4128	482	1119	23	23	NUM
ejpam-4128	482	1120	0.02	0.02	NUM
ejpam-4128	482	1121	woods	wood	NOUN
ejpam-4128	482	1122	26	26	NUM
ejpam-4128	482	1123	65	65	NUM
ejpam-4128	482	1124	43	43	NUM
ejpam-4128	482	1125	0.05	0.05	NUM
ejpam-4128	482	1126	68	68	NUM
ejpam-4128	482	1127	184	184	NUM
ejpam-4128	482	1128	129	129	NUM
ejpam-4128	482	1129	0.02	0.02	NUM
ejpam-4128	482	1130	22	22	NUM
ejpam-4128	482	1131	51	51	NUM
ejpam-4128	482	1132	30	30	NUM
ejpam-4128	482	1133	0.03	0.03	NUM
ejpam-4128	482	1134	24	24	NUM
ejpam-4128	482	1135	62	62	NUM
ejpam-4128	482	1136	41	41	NUM
ejpam-4128	482	1137	0.03	0.03	NUM
ejpam-4128	482	1138	yatp1cls	yatp1cls	NUM
ejpam-4128	482	1139	17	17	NUM
ejpam-4128	482	1140	48	48	NUM
ejpam-4128	482	1141	36	36	NUM
ejpam-4128	482	1142	5.3	5.3	NUM
ejpam-4128	482	1143	14	14	NUM
ejpam-4128	482	1144	41	41	NUM
ejpam-4128	482	1145	31	31	NUM
ejpam-4128	482	1146	5.76	5.76	NUM
ejpam-4128	482	1147	23	23	NUM
ejpam-4128	482	1148	53	53	NUM
ejpam-4128	482	1149	31	31	NUM
ejpam-4128	482	1150	6.13	6.13	NUM
ejpam-4128	482	1151	17	17	NUM
ejpam-4128	482	1152	48	48	NUM
ejpam-4128	482	1153	36	36	NUM
ejpam-4128	482	1154	7.12	7.12	NUM
ejpam-4128	482	1155	yfitu	yfitu	NOUN
ejpam-4128	482	1156	66	66	NUM
ejpam-4128	482	1157	200	200	NUM
ejpam-4128	482	1158	159	159	NUM
ejpam-4128	482	1159	0.02	0.02	NUM
ejpam-4128	482	1160	68	68	NUM
ejpam-4128	482	1161	208	208	NUM
ejpam-4128	482	1162	167	167	NUM
ejpam-4128	482	1163	0.02	0.02	NUM
ejpam-4128	482	1164	84	84	NUM
ejpam-4128	482	1165	197	197	NUM
ejpam-4128	482	1166	118	118	NUM
ejpam-4128	482	1167	0.02	0.02	NUM
ejpam-4128	482	1168	68	68	NUM
ejpam-4128	482	1169	208	208	NUM
ejpam-4128	482	1170	167	167	NUM
ejpam-4128	482	1171	0.03	0.03	NUM
ejpam-4128	482	1172	zangwil2	zangwil2	NOUN
ejpam-4128	482	1173	1	1	NUM
ejpam-4128	482	1174	3	3	NUM
ejpam-4128	482	1175	2	2	NUM
ejpam-4128	482	1176	0.02	0.02	NUM
ejpam-4128	482	1177	1	1	NUM
ejpam-4128	482	1178	3	3	NUM
ejpam-4128	482	1179	2	2	NUM
ejpam-4128	482	1180	0.02	0.02	NUM
ejpam-4128	482	1181	1	1	NUM
ejpam-4128	482	1182	3	3	NUM
ejpam-4128	482	1183	2	2	NUM
ejpam-4128	482	1184	0.02	0.02	NUM
ejpam-4128	482	1185	1	1	NUM
ejpam-4128	482	1186	3	3	NUM
ejpam-4128	482	1187	2	2	NUM
ejpam-4128	482	1188	0.02	0.02	NUM