id	sid	tid	token	lemma	pos
ejpam-5639	1	1	european	european	PROPN
ejpam-5639	1	2	journal	journal	PROPN
ejpam-5639	1	3	of	of	ADP
ejpam-5639	1	4	pure	pure	ADJ
ejpam-5639	1	5	and	and	CCONJ
ejpam-5639	1	6	applied	applied	ADJ
ejpam-5639	1	7	mathematics	mathematic	NOUN
ejpam-5639	1	8	2025	2025	NUM
ejpam-5639	1	9	,	,	PUNCT
ejpam-5639	1	10	vol	vol	NOUN
ejpam-5639	1	11	.	.	PROPN
ejpam-5639	1	12	18	18	NUM
ejpam-5639	1	13	,	,	PUNCT
ejpam-5639	1	14	issue	issue	NOUN
ejpam-5639	1	15	1	1	NUM
ejpam-5639	1	16	,	,	PUNCT
ejpam-5639	1	17	article	article	NOUN
ejpam-5639	1	18	number	number	NOUN
ejpam-5639	1	19	5639	5639	NUM
ejpam-5639	1	20	issn	issn	PROPN
ejpam-5639	1	21	1307	1307	NUM
ejpam-5639	1	22	-	-	SYM
ejpam-5639	1	23	5543	5543	NUM
ejpam-5639	1	24	–	–	PUNCT
ejpam-5639	1	25	ejpam.com	ejpam.com	X
ejpam-5639	1	26	published	publish	VERB
ejpam-5639	1	27	by	by	ADP
ejpam-5639	1	28	new	new	PROPN
ejpam-5639	1	29	york	york	PROPN
ejpam-5639	1	30	business	business	PROPN
ejpam-5639	1	31	global	global	PROPN
ejpam-5639	1	32	a	a	DET
ejpam-5639	1	33	modified	modify	VERB
ejpam-5639	1	34	conjugate	conjugate	ADJ
ejpam-5639	1	35	gradient	gradient	NOUN
ejpam-5639	1	36	method	method	NOUN
ejpam-5639	1	37	with	with	ADP
ejpam-5639	1	38	taylor	taylor	PROPN
ejpam-5639	1	39	approximation	approximation	NOUN
ejpam-5639	1	40	:	:	PUNCT
ejpam-5639	1	41	applications	application	NOUN
ejpam-5639	1	42	in	in	ADP
ejpam-5639	1	43	electric	electric	ADJ
ejpam-5639	1	44	circuits	circuit	NOUN
ejpam-5639	1	45	and	and	CCONJ
ejpam-5639	1	46	image	image	NOUN
ejpam-5639	1	47	restoration	restoration	NOUN
ejpam-5639	1	48	ahmad	ahmad	NOUN
ejpam-5639	1	49	alhawarat1,∗	alhawarat1,∗	PROPN
ejpam-5639	1	50	,	,	PUNCT
ejpam-5639	1	51	sultanah	sultanah	PROPN
ejpam-5639	1	52	masmali2	masmali2	PROPN
ejpam-5639	1	53	,	,	PUNCT
ejpam-5639	1	54	ibtisam	ibtisam	PROPN
ejpam-5639	1	55	masmali2	masmali2	PROPN
ejpam-5639	1	56	,	,	PUNCT
ejpam-5639	1	57	mehiddin	mehiddin	VERB
ejpam-5639	1	58	al	al	PROPN
ejpam-5639	1	59	-	-	PUNCT
ejpam-5639	1	60	baali3	baali3	PROPN
ejpam-5639	1	61	,	,	PUNCT
ejpam-5639	1	62	shahrina	shahrina	NOUN
ejpam-5639	1	63	ismail4,5	ismail4,5	PROPN
ejpam-5639	1	64	1	1	NUM
ejpam-5639	1	65	department	department	NOUN
ejpam-5639	1	66	of	of	ADP
ejpam-5639	1	67	mathematics	mathematic	NOUN
ejpam-5639	1	68	,	,	PUNCT
ejpam-5639	1	69	faculty	faculty	NOUN
ejpam-5639	1	70	of	of	ADP
ejpam-5639	1	71	arts	art	NOUN
ejpam-5639	1	72	and	and	CCONJ
ejpam-5639	1	73	science	science	NOUN
ejpam-5639	1	74	,	,	PUNCT
ejpam-5639	1	75	amman	amman	PROPN
ejpam-5639	1	76	arab	arab	PROPN
ejpam-5639	1	77	university	university	PROPN
ejpam-5639	1	78	,	,	PUNCT
ejpam-5639	1	79	amman	amman	PROPN
ejpam-5639	1	80	11953	11953	NUM
ejpam-5639	1	81	,	,	PUNCT
ejpam-5639	1	82	jordan	jordan	PROPN
ejpam-5639	1	83	2	2	NUM
ejpam-5639	1	84	department	department	NOUN
ejpam-5639	1	85	of	of	ADP
ejpam-5639	1	86	mathematics	mathematic	NOUN
ejpam-5639	1	87	,	,	PUNCT
ejpam-5639	1	88	college	college	NOUN
ejpam-5639	1	89	of	of	ADP
ejpam-5639	1	90	science	science	PROPN
ejpam-5639	1	91	,	,	PUNCT
ejpam-5639	1	92	jazan	jazan	PROPN
ejpam-5639	1	93	university	university	PROPN
ejpam-5639	1	94	,	,	PUNCT
ejpam-5639	1	95	jazan	jazan	NOUN
ejpam-5639	1	96	,	,	PUNCT
ejpam-5639	1	97	saudi	saudi	PROPN
ejpam-5639	1	98	arabia	arabia	PROPN
ejpam-5639	1	99	3	3	NUM
ejpam-5639	1	100	department	department	NOUN
ejpam-5639	1	101	of	of	ADP
ejpam-5639	1	102	mathematics	mathematics	PROPN
ejpam-5639	1	103	,	,	PUNCT
ejpam-5639	1	104	college	college	NOUN
ejpam-5639	1	105	of	of	ADP
ejpam-5639	1	106	science	science	NOUN
ejpam-5639	1	107	,	,	PUNCT
ejpam-5639	1	108	sultan	sultan	PROPN
ejpam-5639	1	109	qaboos	qaboos	PROPN
ejpam-5639	1	110	university	university	PROPN
ejpam-5639	1	111	,	,	PUNCT
ejpam-5639	1	112	oman	oman	NOUN
ejpam-5639	1	113	4	4	NUM
ejpam-5639	1	114	financial	financial	ADJ
ejpam-5639	1	115	mathematics	mathematic	NOUN
ejpam-5639	1	116	program	program	NOUN
ejpam-5639	1	117	,	,	PUNCT
ejpam-5639	1	118	faculty	faculty	NOUN
ejpam-5639	1	119	of	of	ADP
ejpam-5639	1	120	science	science	NOUN
ejpam-5639	1	121	and	and	CCONJ
ejpam-5639	1	122	technology	technology	NOUN
ejpam-5639	1	123	,	,	PUNCT
ejpam-5639	1	124	universiti	universiti	PROPN
ejpam-5639	1	125	sains	sain	VERB
ejpam-5639	1	126	islam	islam	PROPN
ejpam-5639	1	127	malaysia	malaysia	PROPN
ejpam-5639	1	128	,	,	PUNCT
ejpam-5639	1	129	bandar	bandar	PROPN
ejpam-5639	1	130	baru	baru	PROPN
ejpam-5639	1	131	nilai	nilai	PROPN
ejpam-5639	1	132	,	,	PUNCT
ejpam-5639	1	133	71800	71800	NUM
ejpam-5639	1	134	,	,	PUNCT
ejpam-5639	1	135	nilai	nilai	PROPN
ejpam-5639	1	136	,	,	PUNCT
ejpam-5639	1	137	negeri	negeri	PROPN
ejpam-5639	1	138	sembilan	sembilan	PROPN
ejpam-5639	1	139	,	,	PUNCT
ejpam-5639	1	140	malaysia	malaysia	PROPN
ejpam-5639	1	141	5	5	NUM
ejpam-5639	1	142	risk	risk	NOUN
ejpam-5639	1	143	and	and	CCONJ
ejpam-5639	1	144	analytics	analytic	NOUN
ejpam-5639	1	145	research	research	NOUN
ejpam-5639	1	146	group	group	NOUN
ejpam-5639	1	147	,	,	PUNCT
ejpam-5639	1	148	faculty	faculty	NOUN
ejpam-5639	1	149	of	of	ADP
ejpam-5639	1	150	science	science	NOUN
ejpam-5639	1	151	and	and	CCONJ
ejpam-5639	1	152	technology	technology	NOUN
ejpam-5639	1	153	,	,	PUNCT
ejpam-5639	1	154	universiti	universiti	PROPN
ejpam-5639	1	155	sains	sain	VERB
ejpam-5639	1	156	islam	islam	PROPN
ejpam-5639	1	157	malaysia	malaysia	PROPN
ejpam-5639	1	158	,	,	PUNCT
ejpam-5639	1	159	bandar	bandar	PROPN
ejpam-5639	1	160	baru	baru	PROPN
ejpam-5639	1	161	nilai	nilai	PROPN
ejpam-5639	1	162	,	,	PUNCT
ejpam-5639	1	163	71800	71800	NUM
ejpam-5639	1	164	,	,	PUNCT
ejpam-5639	1	165	nilai	nilai	PROPN
ejpam-5639	1	166	,	,	PUNCT
ejpam-5639	1	167	negeri	negeri	PROPN
ejpam-5639	1	168	sembilan	sembilan	PROPN
ejpam-5639	1	169	,	,	PUNCT
ejpam-5639	1	170	malaysia	malaysia	PROPN
ejpam-5639	1	171	abstract	abstract	NOUN
ejpam-5639	1	172	.	.	PUNCT
ejpam-5639	2	1	in	in	ADP
ejpam-5639	2	2	this	this	DET
ejpam-5639	2	3	century	century	NOUN
ejpam-5639	2	4	,	,	PUNCT
ejpam-5639	2	5	the	the	DET
ejpam-5639	2	6	application	application	NOUN
ejpam-5639	2	7	of	of	ADP
ejpam-5639	2	8	optimization	optimization	NOUN
ejpam-5639	2	9	methods	method	NOUN
ejpam-5639	2	10	is	be	AUX
ejpam-5639	2	11	frequently	frequently	ADV
ejpam-5639	2	12	utilized	utilize	VERB
ejpam-5639	2	13	in	in	ADP
ejpam-5639	2	14	numerous	numerous	ADJ
ejpam-5639	2	15	fields	field	NOUN
ejpam-5639	2	16	like	like	ADP
ejpam-5639	2	17	image	image	NOUN
ejpam-5639	2	18	restoration	restoration	NOUN
ejpam-5639	2	19	,	,	PUNCT
ejpam-5639	2	20	electrical	electrical	ADJ
ejpam-5639	2	21	engineering	engineering	NOUN
ejpam-5639	2	22	,	,	PUNCT
ejpam-5639	2	23	medical	medical	ADJ
ejpam-5639	2	24	science	science	NOUN
ejpam-5639	2	25	,	,	PUNCT
ejpam-5639	2	26	machine	machine	NOUN
ejpam-5639	2	27	learning	learning	NOUN
ejpam-5639	2	28	(	(	PUNCT
ejpam-5639	2	29	ml	ml	NOUN
ejpam-5639	2	30	)	)	PUNCT
ejpam-5639	2	31	,	,	PUNCT
ejpam-5639	2	32	signal	signal	NOUN
ejpam-5639	2	33	processing	processing	NOUN
ejpam-5639	2	34	as	as	ADV
ejpam-5639	2	35	well	well	ADV
ejpam-5639	2	36	as	as	ADP
ejpam-5639	2	37	many	many	ADJ
ejpam-5639	2	38	others	other	NOUN
ejpam-5639	2	39	.	.	PUNCT
ejpam-5639	3	1	in	in	ADP
ejpam-5639	3	2	this	this	DET
ejpam-5639	3	3	paper	paper	NOUN
ejpam-5639	3	4	,	,	PUNCT
ejpam-5639	3	5	we	we	PRON
ejpam-5639	3	6	choose	choose	VERB
ejpam-5639	3	7	to	to	PART
ejpam-5639	3	8	improve	improve	VERB
ejpam-5639	3	9	and	and	CCONJ
ejpam-5639	3	10	maintain	maintain	VERB
ejpam-5639	3	11	one	one	NUM
ejpam-5639	3	12	of	of	ADP
ejpam-5639	3	13	the	the	DET
ejpam-5639	3	14	most	most	ADV
ejpam-5639	3	15	popular	popular	ADJ
ejpam-5639	3	16	,	,	PUNCT
ejpam-5639	3	17	low	low	ADJ
ejpam-5639	3	18	-	-	PUNCT
ejpam-5639	3	19	memory	memory	NOUN
ejpam-5639	3	20	,	,	PUNCT
ejpam-5639	3	21	and	and	CCONJ
ejpam-5639	3	22	simple	simple	ADJ
ejpam-5639	3	23	algorithms	algorithm	NOUN
ejpam-5639	3	24	of	of	ADP
ejpam-5639	3	25	optimization	optimization	NOUN
ejpam-5639	3	26	methods	method	NOUN
ejpam-5639	3	27	.	.	PUNCT
ejpam-5639	4	1	this	this	DET
ejpam-5639	4	2	method	method	NOUN
ejpam-5639	4	3	is	be	AUX
ejpam-5639	4	4	known	know	VERB
ejpam-5639	4	5	as	as	ADP
ejpam-5639	4	6	the	the	DET
ejpam-5639	4	7	conjugate	conjugate	ADJ
ejpam-5639	4	8	gradient	gradient	NOUN
ejpam-5639	4	9	method	method	NOUN
ejpam-5639	4	10	(	(	PUNCT
ejpam-5639	4	11	cgm	cgm	PROPN
ejpam-5639	4	12	)	)	PUNCT
ejpam-5639	4	13	.	.	PUNCT
ejpam-5639	5	1	here	here	ADV
ejpam-5639	5	2	,	,	PUNCT
ejpam-5639	5	3	we	we	PRON
ejpam-5639	5	4	develop	develop	VERB
ejpam-5639	5	5	a	a	DET
ejpam-5639	5	6	new	new	ADJ
ejpam-5639	5	7	3	3	NUM
ejpam-5639	5	8	-	-	PUNCT
ejpam-5639	5	9	term	term	NOUN
ejpam-5639	5	10	cgm	cgm	NOUN
ejpam-5639	5	11	with	with	ADP
ejpam-5639	5	12	several	several	ADJ
ejpam-5639	5	13	search	search	NOUN
ejpam-5639	5	14	directions	direction	NOUN
ejpam-5639	5	15	in	in	ADP
ejpam-5639	5	16	the	the	DET
ejpam-5639	5	17	third	third	ADJ
ejpam-5639	5	18	term	term	NOUN
ejpam-5639	5	19	suitable	suitable	ADJ
ejpam-5639	5	20	for	for	ADP
ejpam-5639	5	21	any	any	DET
ejpam-5639	5	22	cgm	cgm	NOUN
ejpam-5639	5	23	related	relate	VERB
ejpam-5639	5	24	to	to	ADP
ejpam-5639	5	25	the	the	DET
ejpam-5639	5	26	fletcher	fletcher	PROPN
ejpam-5639	5	27	-	-	PUNCT
ejpam-5639	5	28	reeves	reeves	PROPN
ejpam-5639	5	29	method	method	NOUN
ejpam-5639	5	30	.	.	PUNCT
ejpam-5639	6	1	apart	apart	ADV
ejpam-5639	6	2	from	from	ADP
ejpam-5639	6	3	that	that	PRON
ejpam-5639	6	4	,	,	PUNCT
ejpam-5639	6	5	we	we	PRON
ejpam-5639	6	6	propose	propose	VERB
ejpam-5639	6	7	a	a	DET
ejpam-5639	6	8	new	new	ADJ
ejpam-5639	6	9	3	3	NUM
ejpam-5639	6	10	-	-	PUNCT
ejpam-5639	6	11	term	term	NOUN
ejpam-5639	6	12	cgm	cgm	NOUN
ejpam-5639	6	13	with	with	ADP
ejpam-5639	6	14	mild	mild	ADJ
ejpam-5639	6	15	conditions	condition	NOUN
ejpam-5639	6	16	for	for	ADP
ejpam-5639	6	17	any	any	DET
ejpam-5639	6	18	method	method	NOUN
ejpam-5639	6	19	in	in	ADP
ejpam-5639	6	20	relation	relation	NOUN
ejpam-5639	6	21	to	to	ADP
ejpam-5639	6	22	the	the	DET
ejpam-5639	6	23	polak	polak	NOUN
ejpam-5639	6	24	-	-	PUNCT
ejpam-5639	6	25	ribière	ribière	PROPN
ejpam-5639	6	26	-	-	PUNCT
ejpam-5639	6	27	polyak	polyak	NOUN
ejpam-5639	6	28	method	method	NOUN
ejpam-5639	6	29	.	.	PUNCT
ejpam-5639	7	1	the	the	DET
ejpam-5639	7	2	proposed	propose	VERB
ejpam-5639	7	3	methods	method	NOUN
ejpam-5639	7	4	satisfy	satisfy	VERB
ejpam-5639	7	5	the	the	DET
ejpam-5639	7	6	descent	descent	NOUN
ejpam-5639	7	7	and	and	CCONJ
ejpam-5639	7	8	convergence	convergence	NOUN
ejpam-5639	7	9	properties	property	NOUN
ejpam-5639	7	10	.	.	PUNCT
ejpam-5639	8	1	moreover	moreover	ADV
ejpam-5639	8	2	,	,	PUNCT
ejpam-5639	8	3	in	in	ADP
ejpam-5639	8	4	the	the	DET
ejpam-5639	8	5	numerical	numerical	PROPN
ejpam-5639	8	6	findings	findings	PROPN
ejpam-5639	8	7	section	section	NOUN
ejpam-5639	8	8	,	,	PUNCT
ejpam-5639	8	9	we	we	PRON
ejpam-5639	8	10	perform	perform	VERB
ejpam-5639	8	11	a	a	DET
ejpam-5639	8	12	comparison	comparison	NOUN
ejpam-5639	8	13	of	of	ADP
ejpam-5639	8	14	the	the	DET
ejpam-5639	8	15	new	new	ADJ
ejpam-5639	8	16	method	method	NOUN
ejpam-5639	8	17	with	with	ADP
ejpam-5639	8	18	several	several	ADJ
ejpam-5639	8	19	renowned	renowned	ADJ
ejpam-5639	8	20	methods	method	NOUN
ejpam-5639	8	21	that	that	PRON
ejpam-5639	8	22	have	have	AUX
ejpam-5639	8	23	emerged	emerge	VERB
ejpam-5639	8	24	in	in	ADP
ejpam-5639	8	25	this	this	DET
ejpam-5639	8	26	century	century	NOUN
ejpam-5639	8	27	,	,	PUNCT
ejpam-5639	8	28	such	such	ADJ
ejpam-5639	8	29	as	as	ADP
ejpam-5639	8	30	cgdescent	cgdescent	NOUN
ejpam-5639	8	31	6.8	6.8	NUM
ejpam-5639	8	32	and	and	CCONJ
ejpam-5639	8	33	nonnegative	nonnegative	ADJ
ejpam-5639	8	34	dai	dai	PROPN
ejpam-5639	8	35	-	-	PUNCT
ejpam-5639	8	36	liao	liao	PROPN
ejpam-5639	8	37	methods	method	NOUN
ejpam-5639	8	38	utilizing	utilize	VERB
ejpam-5639	8	39	more	more	ADJ
ejpam-5639	8	40	than	than	ADP
ejpam-5639	8	41	180cutest	180cutest	PROPN
ejpam-5639	8	42	library	library	NOUN
ejpam-5639	8	43	functions	function	NOUN
ejpam-5639	8	44	.	.	PUNCT
ejpam-5639	9	1	the	the	DET
ejpam-5639	9	2	numerical	numerical	PROPN
ejpam-5639	9	3	findings	finding	NOUN
ejpam-5639	9	4	indicate	indicate	VERB
ejpam-5639	9	5	that	that	SCONJ
ejpam-5639	9	6	the	the	DET
ejpam-5639	9	7	novel	novel	ADJ
ejpam-5639	9	8	approach	approach	NOUN
ejpam-5639	9	9	surpasses	surpass	VERB
ejpam-5639	9	10	recent	recent	ADJ
ejpam-5639	9	11	methodologies	methodology	NOUN
ejpam-5639	9	12	.	.	PUNCT
ejpam-5639	10	1	these	these	DET
ejpam-5639	10	2	numerical	numerical	PROPN
ejpam-5639	10	3	findings	finding	NOUN
ejpam-5639	10	4	encompass	encompass	VERB
ejpam-5639	10	5	the	the	DET
ejpam-5639	10	6	count	count	NOUN
ejpam-5639	10	7	of	of	ADP
ejpam-5639	10	8	gradient	gradient	ADJ
ejpam-5639	10	9	assessments	assessment	NOUN
ejpam-5639	10	10	,	,	PUNCT
ejpam-5639	10	11	function	function	NOUN
ejpam-5639	10	12	assessments	assessment	NOUN
ejpam-5639	10	13	,	,	PUNCT
ejpam-5639	10	14	cpu	cpu	VERB
ejpam-5639	10	15	duration	duration	NOUN
ejpam-5639	10	16	as	as	ADV
ejpam-5639	10	17	well	well	ADV
ejpam-5639	10	18	as	as	ADP
ejpam-5639	10	19	iteration	iteration	NOUN
ejpam-5639	10	20	count	count	NOUN
ejpam-5639	10	21	.	.	PUNCT
ejpam-5639	11	1	additionally	additionally	ADV
ejpam-5639	11	2	,	,	PUNCT
ejpam-5639	11	3	we	we	PRON
ejpam-5639	11	4	discussed	discuss	VERB
ejpam-5639	11	5	the	the	DET
ejpam-5639	11	6	implementation	implementation	NOUN
ejpam-5639	11	7	of	of	ADP
ejpam-5639	11	8	the	the	DET
ejpam-5639	11	9	cg	cg	NOUN
ejpam-5639	11	10	method	method	NOUN
ejpam-5639	11	11	in	in	ADP
ejpam-5639	11	12	image	image	NOUN
ejpam-5639	11	13	restoration	restoration	NOUN
ejpam-5639	11	14	and	and	CCONJ
ejpam-5639	11	15	pi	pi	NOUN
ejpam-5639	11	16	-	-	PUNCT
ejpam-5639	11	17	electric	electric	ADJ
ejpam-5639	11	18	circuits	circuit	NOUN
ejpam-5639	11	19	.	.	PUNCT
ejpam-5639	12	1	2020	2020	NUM
ejpam-5639	12	2	mathematics	mathematic	NOUN
ejpam-5639	12	3	subject	subject	NOUN
ejpam-5639	12	4	classifications	classification	NOUN
ejpam-5639	12	5	:	:	PUNCT
ejpam-5639	12	6	65k05	65k05	NUM
ejpam-5639	12	7	,	,	PUNCT
ejpam-5639	12	8	90c30	90c30	NUM
ejpam-5639	12	9	key	key	ADJ
ejpam-5639	12	10	words	word	NOUN
ejpam-5639	12	11	and	and	CCONJ
ejpam-5639	12	12	phrases	phrase	NOUN
ejpam-5639	12	13	:	:	PUNCT
ejpam-5639	12	14	global	global	ADJ
ejpam-5639	12	15	convergence	convergence	NOUN
ejpam-5639	12	16	,	,	PUNCT
ejpam-5639	12	17	conjugate	conjugate	ADJ
ejpam-5639	12	18	gradient	gradient	NOUN
ejpam-5639	12	19	method	method	NOUN
ejpam-5639	12	20	,	,	PUNCT
ejpam-5639	12	21	unconstrained	unconstrained	ADJ
ejpam-5639	12	22	optimization	optimization	NOUN
ejpam-5639	12	23	,	,	PUNCT
ejpam-5639	12	24	pi	pi	NOUN
ejpam-5639	12	25	-	-	PUNCT
ejpam-5639	12	26	electric	electric	ADJ
ejpam-5639	12	27	circuit	circuit	NOUN
ejpam-5639	12	28	∗corresponding	∗corresponde	VERB
ejpam-5639	12	29	author	author	NOUN
ejpam-5639	12	30	.	.	PUNCT
ejpam-5639	13	1	doi	doi	PROPN
ejpam-5639	13	2	:	:	PUNCT
ejpam-5639	13	3	https://doi.org/10.29020/nybg.ejpam.v18i1.5639	https://doi.org/10.29020/nybg.ejpam.v18i1.5639	PROPN
ejpam-5639	13	4	email	email	NOUN
ejpam-5639	13	5	addresses	address	VERB
ejpam-5639	13	6	:	:	PUNCT
ejpam-5639	13	7	a.alhawarat@aau.edu.jo	a.alhawarat@aau.edu.jo	X
ejpam-5639	13	8	(	(	PUNCT
ejpam-5639	13	9	a.	a.	PROPN
ejpam-5639	13	10	alhawarat	alhawarat	PROPN
ejpam-5639	13	11	)	)	PUNCT
ejpam-5639	13	12	,	,	PUNCT
ejpam-5639	13	13	smasmali@jazanu.edu.sa	smasmali@jazanu.edu.sa	PROPN
ejpam-5639	13	14	(	(	PUNCT
ejpam-5639	13	15	s.	s.	PROPN
ejpam-5639	13	16	masmali	masmali	PROPN
ejpam-5639	13	17	)	)	PUNCT
ejpam-5639	13	18	,	,	PUNCT
ejpam-5639	13	19	ibtisam234@hotmail.com	ibtisam234@hotmail.com	X
ejpam-5639	13	20	(	(	PUNCT
ejpam-5639	13	21	i.	i.	PROPN
ejpam-5639	13	22	masmali	masmali	PROPN
ejpam-5639	13	23	)	)	PUNCT
ejpam-5639	13	24	,	,	PUNCT
ejpam-5639	13	25	albaali@squ.edu.om	albaali@squ.edu.om	PROPN
ejpam-5639	13	26	(	(	PUNCT
ejpam-5639	13	27	m.	m.	PROPN
ejpam-5639	13	28	al	al	PROPN
ejpam-5639	13	29	-	-	PUNCT
ejpam-5639	13	30	baali	baali	PROPN
ejpam-5639	13	31	)	)	PUNCT
ejpam-5639	13	32	,	,	PUNCT
ejpam-5639	13	33	shahrinaismail@usim.edu.my	shahrinaismail@usim.edu.my	NOUN
ejpam-5639	13	34	(	(	PUNCT
ejpam-5639	13	35	s.	s.	PROPN
ejpam-5639	13	36	ismail	ismail	PROPN
ejpam-5639	13	37	)	)	PUNCT
ejpam-5639	13	38	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-5639	14	1	1	1	NUM
ejpam-5639	14	2	copyright	copyright	NOUN
ejpam-5639	14	3	:	:	PUNCT
ejpam-5639	14	4	©	©	PROPN
ejpam-5639	14	5	2025	2025	NUM
ejpam-5639	14	6	the	the	DET
ejpam-5639	14	7	author(s	author(s	NOUN
ejpam-5639	14	8	)	)	PUNCT
ejpam-5639	14	9	.	.	PUNCT
ejpam-5639	15	1	(	(	PUNCT
ejpam-5639	15	2	cc	cc	NOUN
ejpam-5639	15	3	by	by	ADP
ejpam-5639	15	4	-	-	PUNCT
ejpam-5639	15	5	nc	nc	PROPN
ejpam-5639	15	6	4.0	4.0	NUM
ejpam-5639	15	7	)	)	PUNCT
ejpam-5639	15	8	a.	a.	NOUN
ejpam-5639	15	9	alhawarat	alhawarat	NOUN
ejpam-5639	15	10	et	et	PROPN
ejpam-5639	15	11	al	al	PROPN
ejpam-5639	15	12	.	.	PUNCT
ejpam-5639	15	13	/	/	SYM
ejpam-5639	15	14	eur	eur	PROPN
ejpam-5639	15	15	.	.	PUNCT
ejpam-5639	16	1	j.	j.	PROPN
ejpam-5639	16	2	pure	pure	PROPN
ejpam-5639	16	3	appl	appl	PROPN
ejpam-5639	16	4	.	.	PROPN
ejpam-5639	16	5	math	math	PROPN
ejpam-5639	16	6	,	,	PUNCT
ejpam-5639	16	7	18	18	NUM
ejpam-5639	16	8	(	(	PUNCT
ejpam-5639	16	9	1	1	NUM
ejpam-5639	16	10	)	)	PUNCT
ejpam-5639	16	11	(	(	PUNCT
ejpam-5639	16	12	2025	2025	NUM
ejpam-5639	16	13	)	)	PUNCT
ejpam-5639	16	14	,	,	PUNCT
ejpam-5639	16	15	5639	5639	NUM
ejpam-5639	16	16	2	2	NUM
ejpam-5639	16	17	of	of	ADP
ejpam-5639	16	18	27	27	NUM
ejpam-5639	16	19	1	1	NUM
ejpam-5639	16	20	.	.	PUNCT
ejpam-5639	16	21	introduction	introduction	NOUN
ejpam-5639	16	22	the	the	DET
ejpam-5639	16	23	conjugate	conjugate	ADJ
ejpam-5639	16	24	gradient	gradient	NOUN
ejpam-5639	16	25	(	(	PUNCT
ejpam-5639	16	26	cg	cg	NOUN
ejpam-5639	16	27	)	)	PUNCT
ejpam-5639	16	28	method	method	NOUN
ejpam-5639	16	29	is	be	AUX
ejpam-5639	16	30	broadly	broadly	ADV
ejpam-5639	16	31	employed	employ	VERB
ejpam-5639	16	32	to	to	PART
ejpam-5639	16	33	solve	solve	VERB
ejpam-5639	16	34	unconstrained	unconstrained	ADJ
ejpam-5639	16	35	optimization	optimization	NOUN
ejpam-5639	16	36	problems	problem	NOUN
ejpam-5639	16	37	since	since	SCONJ
ejpam-5639	16	38	we	we	PRON
ejpam-5639	16	39	can	can	AUX
ejpam-5639	16	40	employ	employ	VERB
ejpam-5639	16	41	the	the	DET
ejpam-5639	16	42	cg	cg	NOUN
ejpam-5639	16	43	method	method	NOUN
ejpam-5639	16	44	in	in	ADP
ejpam-5639	16	45	several	several	ADJ
ejpam-5639	16	46	fields	field	NOUN
ejpam-5639	16	47	like	like	ADP
ejpam-5639	16	48	image	image	NOUN
ejpam-5639	16	49	restoration	restoration	NOUN
ejpam-5639	16	50	,	,	PUNCT
ejpam-5639	16	51	electrical	electrical	ADJ
ejpam-5639	16	52	engineering	engineering	NOUN
ejpam-5639	16	53	,	,	PUNCT
ejpam-5639	16	54	machine	machine	NOUN
ejpam-5639	16	55	learning	learning	NOUN
ejpam-5639	16	56	(	(	PUNCT
ejpam-5639	16	57	ml	ml	NOUN
ejpam-5639	16	58	)	)	PUNCT
ejpam-5639	17	1	[	[	X
ejpam-5639	17	2	24	24	NUM
ejpam-5639	17	3	,	,	PUNCT
ejpam-5639	17	4	25	25	NUM
ejpam-5639	17	5	]	]	PUNCT
ejpam-5639	17	6	,	,	PUNCT
ejpam-5639	17	7	medical	medical	ADJ
ejpam-5639	17	8	science	science	NOUN
ejpam-5639	17	9	,	,	PUNCT
ejpam-5639	17	10	signal	signal	NOUN
ejpam-5639	17	11	processing	processing	NOUN
ejpam-5639	17	12	,	,	PUNCT
ejpam-5639	17	13	as	as	ADV
ejpam-5639	17	14	well	well	ADV
ejpam-5639	17	15	as	as	ADP
ejpam-5639	17	16	many	many	ADJ
ejpam-5639	17	17	others	other	NOUN
ejpam-5639	17	18	.	.	PUNCT
ejpam-5639	18	1	the	the	DET
ejpam-5639	18	2	general	general	ADJ
ejpam-5639	18	3	form	form	NOUN
ejpam-5639	18	4	of	of	ADP
ejpam-5639	18	5	optimization	optimization	NOUN
ejpam-5639	18	6	problems	problem	NOUN
ejpam-5639	18	7	that	that	PRON
ejpam-5639	18	8	we	we	PRON
ejpam-5639	18	9	want	want	VERB
ejpam-5639	18	10	to	to	PART
ejpam-5639	18	11	solve	solve	VERB
ejpam-5639	18	12	employing	employ	VERB
ejpam-5639	18	13	the	the	DET
ejpam-5639	18	14	cg	cg	NOUN
ejpam-5639	18	15	method	method	NOUN
ejpam-5639	18	16	is	be	AUX
ejpam-5639	18	17	expressed	express	VERB
ejpam-5639	18	18	as	as	ADP
ejpam-5639	18	19	given	give	VERB
ejpam-5639	18	20	below	below	ADV
ejpam-5639	18	21	:	:	PUNCT
ejpam-5639	18	22	min	min	PROPN
ejpam-5639	18	23	f(x	f(x	PROPN
ejpam-5639	18	24	)	)	PUNCT
ejpam-5639	18	25	,	,	PUNCT
ejpam-5639	18	26	x	x	PROPN
ejpam-5639	18	27	∈	∈	PROPN
ejpam-5639	18	28	rn	rn	PROPN
ejpam-5639	18	29	,	,	PUNCT
ejpam-5639	18	30	(	(	PUNCT
ejpam-5639	18	31	1	1	X
ejpam-5639	18	32	)	)	PUNCT
ejpam-5639	18	33	in	in	ADP
ejpam-5639	18	34	which	which	PRON
ejpam-5639	18	35	the	the	DET
ejpam-5639	18	36	objective	objective	ADJ
ejpam-5639	18	37	function	function	NOUN
ejpam-5639	18	38	,	,	PUNCT
ejpam-5639	18	39	denoted	denote	VERB
ejpam-5639	18	40	byf	byf	NOUN
ejpam-5639	18	41	,	,	PUNCT
ejpam-5639	18	42	is	be	AUX
ejpam-5639	18	43	smooth	smooth	ADJ
ejpam-5639	18	44	.	.	PUNCT
ejpam-5639	19	1	the	the	DET
ejpam-5639	19	2	primary	primary	ADJ
ejpam-5639	19	3	iterative	iterative	NOUN
ejpam-5639	19	4	formula	formula	NOUN
ejpam-5639	19	5	with	with	ADP
ejpam-5639	19	6	regard	regard	NOUN
ejpam-5639	19	7	to	to	ADP
ejpam-5639	19	8	the	the	DET
ejpam-5639	19	9	cg	cg	NOUN
ejpam-5639	19	10	method	method	NOUN
ejpam-5639	19	11	is	be	AUX
ejpam-5639	19	12	expressed	express	VERB
ejpam-5639	19	13	below	below	ADV
ejpam-5639	19	14	:	:	PUNCT
ejpam-5639	19	15	xk+1	xk+1	PROPN
ejpam-5639	20	1	=	=	SYM
ejpam-5639	20	2	xk	xk	PROPN
ejpam-5639	20	3	+	+	CCONJ
ejpam-5639	20	4	αkdk	αkdk	NOUN
ejpam-5639	20	5	,	,	PUNCT
ejpam-5639	20	6	k	k	PROPN
ejpam-5639	20	7	=	=	SYM
ejpam-5639	20	8	1	1	NUM
ejpam-5639	20	9	,	,	PUNCT
ejpam-5639	20	10	2	2	NUM
ejpam-5639	20	11	,	,	PUNCT
ejpam-5639	20	12	...	...	PUNCT
ejpam-5639	20	13	(	(	PUNCT
ejpam-5639	20	14	2	2	X
ejpam-5639	20	15	)	)	PUNCT
ejpam-5639	20	16	here	here	ADV
ejpam-5639	20	17	,	,	PUNCT
ejpam-5639	20	18	αk	αk	AUX
ejpam-5639	20	19	may	may	AUX
ejpam-5639	20	20	be	be	AUX
ejpam-5639	20	21	gain	gain	NOUN
ejpam-5639	20	22	from	from	ADP
ejpam-5639	20	23	inexact	inexact	ADJ
ejpam-5639	20	24	or	or	CCONJ
ejpam-5639	20	25	exact	exact	ADJ
ejpam-5639	20	26	line	line	NOUN
ejpam-5639	20	27	search	search	NOUN
ejpam-5639	20	28	.	.	PUNCT
ejpam-5639	21	1	subsequently	subsequently	ADV
ejpam-5639	21	2	,	,	PUNCT
ejpam-5639	21	3	the	the	DET
ejpam-5639	21	4	strong	strong	ADJ
ejpam-5639	21	5	wolfe	wolfe	PROPN
ejpam-5639	21	6	-	-	PUNCT
ejpam-5639	21	7	powell	powell	PROPN
ejpam-5639	21	8	(	(	PUNCT
ejpam-5639	21	9	swp	swp	PROPN
ejpam-5639	21	10	)	)	PUNCT
ejpam-5639	21	11	line	line	NOUN
ejpam-5639	22	1	[	[	X
ejpam-5639	22	2	22	22	NUM
ejpam-5639	22	3	,	,	PUNCT
ejpam-5639	22	4	23	23	NUM
ejpam-5639	22	5	]	]	PUNCT
ejpam-5639	22	6	is	be	AUX
ejpam-5639	22	7	an	an	DET
ejpam-5639	22	8	inexact	inexact	ADJ
ejpam-5639	22	9	line	line	NOUN
ejpam-5639	22	10	search	search	NOUN
ejpam-5639	22	11	commonly	commonly	ADV
ejpam-5639	22	12	used	use	VERB
ejpam-5639	22	13	and	and	CCONJ
ejpam-5639	22	14	may	may	AUX
ejpam-5639	22	15	be	be	AUX
ejpam-5639	22	16	expressed	express	VERB
ejpam-5639	22	17	as	as	ADP
ejpam-5639	22	18	below	below	ADV
ejpam-5639	22	19	:	:	PUNCT
ejpam-5639	22	20	f(xk	f(xk	PROPN
ejpam-5639	22	21	+	+	CCONJ
ejpam-5639	22	22	αkdk	αkdk	NOUN
ejpam-5639	22	23	)	)	PUNCT
ejpam-5639	22	24	≤	≤	NUM
ejpam-5639	22	25	f(xk	f(xk	PROPN
ejpam-5639	22	26	)	)	PUNCT
ejpam-5639	23	1	+	+	CCONJ
ejpam-5639	23	2	δαk∇ft	δαk∇ft	X
ejpam-5639	23	3	k	k	PROPN
ejpam-5639	23	4	dk	dk	PROPN
ejpam-5639	23	5	,	,	PUNCT
ejpam-5639	23	6	(	(	PUNCT
ejpam-5639	23	7	3	3	NUM
ejpam-5639	23	8	)	)	PUNCT
ejpam-5639	23	9	and	and	CCONJ
ejpam-5639	23	10	|∇f(xk	|∇f(xk	PROPN
ejpam-5639	23	11	+	+	NUM
ejpam-5639	23	12	αkdk	αkdk	NOUN
ejpam-5639	23	13	)	)	PUNCT
ejpam-5639	23	14	tdk|	tdk|	NOUN
ejpam-5639	23	15	≤	≤	NUM
ejpam-5639	23	16	σ|∇ft	σ|∇ft	NUM
ejpam-5639	23	17	k	k	X
ejpam-5639	23	18	dk|	dk|	NOUN
ejpam-5639	23	19	,	,	PUNCT
ejpam-5639	23	20	(	(	PUNCT
ejpam-5639	23	21	4	4	NUM
ejpam-5639	23	22	)	)	PUNCT
ejpam-5639	23	23	on	on	ADP
ejpam-5639	23	24	the	the	DET
ejpam-5639	23	25	other	other	ADJ
ejpam-5639	23	26	hand	hand	NOUN
ejpam-5639	23	27	,	,	PUNCT
ejpam-5639	23	28	the	the	DET
ejpam-5639	23	29	weak	weak	ADJ
ejpam-5639	23	30	wolfe	wolfe	PROPN
ejpam-5639	23	31	-	-	PUNCT
ejpam-5639	23	32	powell	powell	PROPN
ejpam-5639	23	33	(	(	PUNCT
ejpam-5639	23	34	wwp	wwp	PROPN
ejpam-5639	23	35	)	)	PUNCT
ejpam-5639	23	36	line	line	NOUN
ejpam-5639	23	37	search	search	NOUN
ejpam-5639	23	38	is	be	AUX
ejpam-5639	23	39	represented	represent	VERB
ejpam-5639	23	40	in	in	ADP
ejpam-5639	23	41	eqn	eqn	NOUN
ejpam-5639	23	42	.	.	PUNCT
ejpam-5639	24	1	(	(	PUNCT
ejpam-5639	24	2	3	3	X
ejpam-5639	24	3	)	)	PUNCT
ejpam-5639	24	4	and	and	CCONJ
ejpam-5639	24	5	eqn	eqn	PROPN
ejpam-5639	24	6	.	.	PUNCT
ejpam-5639	25	1	(	(	PUNCT
ejpam-5639	25	2	5	5	NUM
ejpam-5639	25	3	)	)	PUNCT
ejpam-5639	25	4	as	as	SCONJ
ejpam-5639	25	5	follows	follow	VERB
ejpam-5639	25	6	:	:	PUNCT
ejpam-5639	25	7	∇f(xk	∇f(xk	NOUN
ejpam-5639	25	8	+	+	CCONJ
ejpam-5639	25	9	αkdk	αkdk	NOUN
ejpam-5639	25	10	)	)	PUNCT
ejpam-5639	25	11	tdk	tdk	NOUN
ejpam-5639	25	12	≥	≥	NOUN
ejpam-5639	25	13	σ∇ft	σ∇ft	PROPN
ejpam-5639	25	14	k	k	PROPN
ejpam-5639	25	15	dk	dk	PROPN
ejpam-5639	25	16	,	,	PUNCT
ejpam-5639	25	17	(	(	PUNCT
ejpam-5639	25	18	5	5	NUM
ejpam-5639	25	19	)	)	PUNCT
ejpam-5639	25	20	with	with	ADP
ejpam-5639	25	21	0	0	NUM
ejpam-5639	25	22	<	<	X
ejpam-5639	25	23	δ	δ	X
ejpam-5639	25	24	<	<	X
ejpam-5639	25	25	1	1	NUM
ejpam-5639	25	26	2	2	NUM
ejpam-5639	25	27	,	,	PUNCT
ejpam-5639	25	28	δ	δ	PROPN
ejpam-5639	25	29	<	<	X
ejpam-5639	25	30	σ	σ	X
ejpam-5639	25	31	<	<	X
ejpam-5639	25	32	1	1	NUM
ejpam-5639	25	33	.	.	PUNCT
ejpam-5639	26	1	here	here	ADV
ejpam-5639	26	2	,	,	PUNCT
ejpam-5639	26	3	dk	dk	PROPN
ejpam-5639	26	4	refers	refer	VERB
ejpam-5639	26	5	to	to	ADP
ejpam-5639	26	6	a	a	DET
ejpam-5639	26	7	search	search	NOUN
ejpam-5639	26	8	direction	direction	NOUN
ejpam-5639	26	9	often	often	ADV
ejpam-5639	26	10	expressed	express	VERB
ejpam-5639	26	11	by	by	ADP
ejpam-5639	26	12	:	:	PUNCT
ejpam-5639	26	13	dk	dk	X
ejpam-5639	26	14	=	=	X
ejpam-5639	26	15	{	{	PUNCT
ejpam-5639	26	16	−∇fk	−∇fk	NOUN
ejpam-5639	26	17	,	,	PUNCT
ejpam-5639	26	18	if	if	SCONJ
ejpam-5639	26	19	k	k	PROPN
ejpam-5639	26	20	=	=	SYM
ejpam-5639	26	21	1	1	NUM
ejpam-5639	26	22	,	,	PUNCT
ejpam-5639	26	23	−∇fk	−∇fk	NOUN
ejpam-5639	26	24	+	+	CCONJ
ejpam-5639	26	25	βkdk−1	βkdk−1	PROPN
ejpam-5639	26	26	,	,	PUNCT
ejpam-5639	26	27	if	if	SCONJ
ejpam-5639	26	28	k	k	PROPN
ejpam-5639	26	29	≥	≥	NOUN
ejpam-5639	26	30	2	2	NUM
ejpam-5639	26	31	.	.	PUNCT
ejpam-5639	27	1	(	(	PUNCT
ejpam-5639	27	2	6	6	NUM
ejpam-5639	27	3	)	)	PUNCT
ejpam-5639	27	4	in	in	ADP
ejpam-5639	27	5	which	which	PRON
ejpam-5639	27	6	βk	βk	ADP
ejpam-5639	27	7	refers	refer	VERB
ejpam-5639	27	8	to	to	ADP
ejpam-5639	27	9	the	the	DET
ejpam-5639	27	10	cg	cg	NOUN
ejpam-5639	27	11	parameter	parameter	NOUN
ejpam-5639	27	12	.	.	PUNCT
ejpam-5639	28	1	here	here	ADV
ejpam-5639	28	2	,	,	PUNCT
ejpam-5639	28	3	the	the	DET
ejpam-5639	28	4	cg	cg	NOUN
ejpam-5639	28	5	parameters	parameter	NOUN
ejpam-5639	28	6	are	be	AUX
ejpam-5639	28	7	categorized	categorize	VERB
ejpam-5639	28	8	into2	into2	X
ejpam-5639	28	9	groups	group	NOUN
ejpam-5639	28	10	.	.	PUNCT
ejpam-5639	29	1	the	the	DET
ejpam-5639	29	2	first	first	ADJ
ejpam-5639	29	3	group	group	NOUN
ejpam-5639	29	4	is	be	AUX
ejpam-5639	29	5	an	an	DET
ejpam-5639	29	6	effective	effective	ADJ
ejpam-5639	29	7	one	one	NUM
ejpam-5639	29	8	.	.	PUNCT
ejpam-5639	30	1	this	this	PRON
ejpam-5639	30	2	comprises	comprise	VERB
ejpam-5639	30	3	the	the	DET
ejpam-5639	30	4	methods	method	NOUN
ejpam-5639	30	5	proposed	propose	VERB
ejpam-5639	30	6	by	by	ADP
ejpam-5639	30	7	hestenes	hestene	NOUN
ejpam-5639	30	8	-	-	PUNCT
ejpam-5639	30	9	stiefel	stiefel	NOUN
ejpam-5639	30	10	(	(	PUNCT
ejpam-5639	30	11	hs	hs	X
ejpam-5639	30	12	)	)	PUNCT
ejpam-5639	31	1	[	[	X
ejpam-5639	31	2	13	13	NUM
ejpam-5639	31	3	]	]	PUNCT
ejpam-5639	31	4	,	,	PUNCT
ejpam-5639	31	5	polak	polak	PROPN
ejpam-5639	31	6	-	-	PUNCT
ejpam-5639	31	7	ribière	ribière	PROPN
ejpam-5639	31	8	-	-	PUNCT
ejpam-5639	31	9	polyak	polyak	NOUN
ejpam-5639	31	10	(	(	PUNCT
ejpam-5639	31	11	prp	prp	PROPN
ejpam-5639	31	12	)	)	PUNCT
ejpam-5639	32	1	[	[	X
ejpam-5639	32	2	20	20	NUM
ejpam-5639	32	3	]	]	PUNCT
ejpam-5639	32	4	as	as	ADV
ejpam-5639	32	5	well	well	ADV
ejpam-5639	32	6	asliu	asliu	ADJ
ejpam-5639	32	7	and	and	CCONJ
ejpam-5639	32	8	storey	storey	NOUN
ejpam-5639	32	9	(	(	PUNCT
ejpam-5639	32	10	ls	ls	PROPN
ejpam-5639	32	11	)	)	PUNCT
ejpam-5639	33	1	[	[	X
ejpam-5639	33	2	17	17	NUM
ejpam-5639	33	3	]	]	PUNCT
ejpam-5639	33	4	.	.	PUNCT
ejpam-5639	34	1	βhs	βhs	NOUN
ejpam-5639	34	2	k	k	NOUN
ejpam-5639	35	1	=	=	PUNCT
ejpam-5639	35	2	∇ft	∇ft	PROPN
ejpam-5639	35	3	k	k	NOUN
ejpam-5639	35	4	yk−1	yk−1	PROPN
ejpam-5639	35	5	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	35	6	,	,	PUNCT
ejpam-5639	35	7	βprp	βprp	NOUN
ejpam-5639	36	1	k	k	NOUN
ejpam-5639	36	2	=	=	PUNCT
ejpam-5639	36	3	∇ft	∇ft	PROPN
ejpam-5639	36	4	k	k	PROPN
ejpam-5639	36	5	yk−1	yk−1	PROPN
ejpam-5639	36	6	∥yk−1∥2	∥yk−1∥2	ADV
ejpam-5639	36	7	,	,	PUNCT
ejpam-5639	36	8	βls	βls	VERB
ejpam-5639	36	9	k	k	NOUN
ejpam-5639	36	10	=	=	PUNCT
ejpam-5639	37	1	−	−	PROPN
ejpam-5639	38	1	∇ft	∇ft	NOUN
ejpam-5639	38	2	k	k	PROPN
ejpam-5639	38	3	yk−1	yk−1	PROPN
ejpam-5639	38	4	dtk−1∇fk	dtk−1∇fk	PROPN
ejpam-5639	38	5	,	,	PUNCT
ejpam-5639	38	6	in	in	ADP
ejpam-5639	38	7	which	which	PRON
ejpam-5639	38	8	yk−1	yk−1	NOUN
ejpam-5639	38	9	=	=	SYM
ejpam-5639	38	10	∇fk	∇fk	NOUN
ejpam-5639	38	11	−	−	PROPN
ejpam-5639	38	12	∇fk−1	∇fk−1	NOUN
ejpam-5639	38	13	.	.	PUNCT
ejpam-5639	39	1	nonetheless	nonetheless	ADV
ejpam-5639	39	2	,	,	PUNCT
ejpam-5639	39	3	this	this	DET
ejpam-5639	39	4	group	group	NOUN
ejpam-5639	39	5	encounters	encounter	VERB
ejpam-5639	39	6	issues	issue	NOUN
ejpam-5639	39	7	related	relate	VERB
ejpam-5639	39	8	to	to	ADP
ejpam-5639	39	9	convergence	convergence	NOUN
ejpam-5639	39	10	,	,	PUNCT
ejpam-5639	39	11	provided	provide	VERB
ejpam-5639	39	12	that	that	SCONJ
ejpam-5639	39	13	their	their	PRON
ejpam-5639	39	14	values	value	NOUN
ejpam-5639	39	15	become	become	VERB
ejpam-5639	39	16	negative	negative	ADJ
ejpam-5639	39	17	[	[	X
ejpam-5639	39	18	21	21	NUM
ejpam-5639	39	19	]	]	PUNCT
ejpam-5639	39	20	.	.	PUNCT
ejpam-5639	40	1	on	on	ADP
ejpam-5639	40	2	the	the	DET
ejpam-5639	40	3	other	other	ADJ
ejpam-5639	40	4	hand	hand	NOUN
ejpam-5639	40	5	,	,	PUNCT
ejpam-5639	40	6	the	the	DET
ejpam-5639	40	7	second	second	ADJ
ejpam-5639	40	8	group	group	NOUN
ejpam-5639	40	9	,	,	PUNCT
ejpam-5639	40	10	while	while	SCONJ
ejpam-5639	40	11	less	less	ADV
ejpam-5639	40	12	efficient	efficient	ADJ
ejpam-5639	40	13	,	,	PUNCT
ejpam-5639	40	14	demonstrates	demonstrate	VERB
ejpam-5639	40	15	strong	strong	ADJ
ejpam-5639	40	16	global	global	ADJ
ejpam-5639	40	17	convergence	convergence	NOUN
ejpam-5639	40	18	.	.	PUNCT
ejpam-5639	41	1	it	it	PRON
ejpam-5639	41	2	is	be	AUX
ejpam-5639	41	3	important	important	ADJ
ejpam-5639	41	4	to	to	PART
ejpam-5639	41	5	note	note	VERB
ejpam-5639	41	6	that	that	SCONJ
ejpam-5639	41	7	this	this	DET
ejpam-5639	41	8	category	category	NOUN
ejpam-5639	41	9	encompasses	encompass	VERB
ejpam-5639	41	10	the	the	DET
ejpam-5639	41	11	fletcher	fletcher	PROPN
ejpam-5639	41	12	-	-	PUNCT
ejpam-5639	41	13	reeves	reeves	PROPN
ejpam-5639	41	14	(	(	PUNCT
ejpam-5639	41	15	fr	fr	PROPN
ejpam-5639	41	16	)	)	PUNCT
ejpam-5639	42	1	[	[	X
ejpam-5639	42	2	10	10	NUM
ejpam-5639	42	3	]	]	PUNCT
ejpam-5639	42	4	,	,	PUNCT
ejpam-5639	42	5	fletcher	fletcher	PROPN
ejpam-5639	42	6	(	(	PUNCT
ejpam-5639	42	7	cd	cd	PROPN
ejpam-5639	42	8	)	)	PUNCT
ejpam-5639	43	1	[	[	X
ejpam-5639	43	2	9	9	NUM
ejpam-5639	43	3	]	]	PUNCT
ejpam-5639	43	4	a.	a.	NOUN
ejpam-5639	43	5	alhawarat	alhawarat	NOUN
ejpam-5639	43	6	et	et	PROPN
ejpam-5639	43	7	al	al	PROPN
ejpam-5639	43	8	.	.	PUNCT
ejpam-5639	43	9	/	/	SYM
ejpam-5639	43	10	eur	eur	PROPN
ejpam-5639	43	11	.	.	PUNCT
ejpam-5639	44	1	j.	j.	PROPN
ejpam-5639	44	2	pure	pure	PROPN
ejpam-5639	44	3	appl	appl	PROPN
ejpam-5639	44	4	.	.	PROPN
ejpam-5639	44	5	math	math	PROPN
ejpam-5639	44	6	,	,	PUNCT
ejpam-5639	44	7	18	18	NUM
ejpam-5639	44	8	(	(	PUNCT
ejpam-5639	44	9	1	1	NUM
ejpam-5639	44	10	)	)	PUNCT
ejpam-5639	44	11	(	(	PUNCT
ejpam-5639	44	12	2025	2025	NUM
ejpam-5639	44	13	)	)	PUNCT
ejpam-5639	44	14	,	,	PUNCT
ejpam-5639	44	15	5639	5639	NUM
ejpam-5639	44	16	3	3	NUM
ejpam-5639	44	17	of	of	ADP
ejpam-5639	44	18	27	27	NUM
ejpam-5639	44	19	as	as	ADV
ejpam-5639	44	20	well	well	ADV
ejpam-5639	44	21	as	as	ADP
ejpam-5639	44	22	dai	dai	PROPN
ejpam-5639	44	23	-	-	PUNCT
ejpam-5639	44	24	yuan	yuan	PROPN
ejpam-5639	44	25	(	(	PUNCT
ejpam-5639	44	26	dy	dy	X
ejpam-5639	44	27	)	)	PUNCT
ejpam-5639	45	1	[	[	X
ejpam-5639	45	2	7	7	NUM
ejpam-5639	45	3	]	]	ADJ
ejpam-5639	45	4	methods	method	NOUN
ejpam-5639	45	5	.	.	PUNCT
ejpam-5639	46	1	the	the	DET
ejpam-5639	46	2	equations	equation	NOUN
ejpam-5639	46	3	defining	define	VERB
ejpam-5639	46	4	these	these	DET
ejpam-5639	46	5	methods	method	NOUN
ejpam-5639	46	6	are	be	AUX
ejpam-5639	46	7	provided	provide	VERB
ejpam-5639	46	8	below	below	ADP
ejpam-5639	46	9	:	:	PUNCT
ejpam-5639	47	1	βfr	βfr	PROPN
ejpam-5639	47	2	k	k	PROPN
ejpam-5639	47	3	=	=	PUNCT
ejpam-5639	47	4	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	47	5	∥∇fk−1∥2	∥∇fk−1∥2	ADV
ejpam-5639	47	6	,	,	PUNCT
ejpam-5639	47	7	βcd	βcd	VERB
ejpam-5639	47	8	k	k	NOUN
ejpam-5639	48	1	=	=	PUNCT
ejpam-5639	48	2	−	−	PROPN
ejpam-5639	48	3	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	48	4	dtk−1∇fk	dtk−1∇fk	PROPN
ejpam-5639	48	5	,	,	PUNCT
ejpam-5639	48	6	βdy	βdy	NOUN
ejpam-5639	48	7	k	k	PROPN
ejpam-5639	48	8	=	=	PUNCT
ejpam-5639	48	9	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	48	10	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	48	11	.	.	PUNCT
ejpam-5639	49	1	dai	dai	PROPN
ejpam-5639	49	2	and	and	CCONJ
ejpam-5639	49	3	liao	liao	PROPN
ejpam-5639	49	4	[	[	X
ejpam-5639	49	5	6	6	NUM
ejpam-5639	49	6	]	]	PUNCT
ejpam-5639	49	7	recommended	recommend	VERB
ejpam-5639	49	8	the	the	DET
ejpam-5639	49	9	formula	formula	NOUN
ejpam-5639	49	10	of	of	ADP
ejpam-5639	49	11	cg	cg	NOUN
ejpam-5639	49	12	and	and	CCONJ
ejpam-5639	49	13	re	re	VERB
ejpam-5639	49	14	-	-	VERB
ejpam-5639	49	15	expressed	express	VERB
ejpam-5639	49	16	it	it	PRON
ejpam-5639	49	17	below	below	ADV
ejpam-5639	49	18	:	:	PUNCT
ejpam-5639	49	19	βdl	βdl	VERB
ejpam-5639	50	1	k	k	NOUN
ejpam-5639	51	1	=	=	PUNCT
ejpam-5639	51	2	∇ft	∇ft	PROPN
ejpam-5639	51	3	k	k	NOUN
ejpam-5639	51	4	yk−1	yk−1	PROPN
ejpam-5639	51	5	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	51	6	−	−	X
ejpam-5639	52	1	∇ft	∇ft	NOUN
ejpam-5639	52	2	k	k	PROPN
ejpam-5639	52	3	sk−1	sk−1	ADJ
ejpam-5639	52	4	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	52	5	=	=	PUNCT
ejpam-5639	52	6	βhs	βhs	NOUN
ejpam-5639	52	7	k	k	NOUN
ejpam-5639	53	1	−	−	PROPN
ejpam-5639	53	2	∇ft	∇ft	PROPN
ejpam-5639	54	1	k	k	PROPN
ejpam-5639	55	1	sk−1	sk−1	ADJ
ejpam-5639	56	1	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	56	2	,	,	PUNCT
ejpam-5639	56	3	where	where	SCONJ
ejpam-5639	56	4	sk−1	sk−1	PROPN
ejpam-5639	56	5	=	=	SYM
ejpam-5639	56	6	xk	xk	PROPN
ejpam-5639	56	7	−xk−1.to	−xk−1.to	PROPN
ejpam-5639	56	8	avoid	avoid	VERB
ejpam-5639	56	9	the	the	DET
ejpam-5639	56	10	convergence	convergence	NOUN
ejpam-5639	56	11	problem	problem	NOUN
ejpam-5639	56	12	mentioned	mention	VERB
ejpam-5639	56	13	by	by	ADP
ejpam-5639	56	14	[	[	X
ejpam-5639	56	15	21	21	NUM
ejpam-5639	56	16	]	]	PUNCT
ejpam-5639	56	17	,	,	PUNCT
ejpam-5639	56	18	the	the	DET
ejpam-5639	56	19	authors	author	NOUN
ejpam-5639	56	20	in	in	ADP
ejpam-5639	56	21	[	[	X
ejpam-5639	56	22	6	6	NUM
ejpam-5639	56	23	]	]	PUNCT
ejpam-5639	56	24	use	use	VERB
ejpam-5639	56	25	the	the	DET
ejpam-5639	56	26	following	follow	VERB
ejpam-5639	56	27	restriction	restriction	NOUN
ejpam-5639	56	28	:	:	PUNCT
ejpam-5639	56	29	βdl+	βdl+	SCONJ
ejpam-5639	57	1	k	k	X
ejpam-5639	57	2	=	=	PUNCT
ejpam-5639	57	3	max{βhs	max{βhs	PROPN
ejpam-5639	57	4	k	k	PROPN
ejpam-5639	57	5	,	,	PUNCT
ejpam-5639	57	6	0	0	NUM
ejpam-5639	57	7	}	}	PUNCT
ejpam-5639	57	8	−	−	PROPN
ejpam-5639	57	9	t	t	NOUN
ejpam-5639	57	10	∇ft	∇ft	NOUN
ejpam-5639	58	1	k	k	PROPN
ejpam-5639	58	2	sk−1	sk−1	ADJ
ejpam-5639	58	3	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	58	4	,	,	PUNCT
ejpam-5639	58	5	meanwhile	meanwhile	ADV
ejpam-5639	58	6	,	,	PUNCT
ejpam-5639	58	7	li	li	PROPN
ejpam-5639	58	8	et	et	PROPN
ejpam-5639	58	9	al	al	PROPN
ejpam-5639	58	10	.	.	PUNCT
ejpam-5639	59	1	[	[	X
ejpam-5639	59	2	16	16	NUM
ejpam-5639	59	3	]	]	PUNCT
ejpam-5639	59	4	suggested	suggest	VERB
ejpam-5639	59	5	the	the	DET
ejpam-5639	59	6	cg	cg	NOUN
ejpam-5639	59	7	formula	formula	NOUN
ejpam-5639	59	8	as	as	SCONJ
ejpam-5639	59	9	expressed	express	VERB
ejpam-5639	59	10	below	below	ADV
ejpam-5639	59	11	:	:	PUNCT
ejpam-5639	59	12	β0∗	β0∗	PUNCT
ejpam-5639	60	1	k	k	X
ejpam-5639	60	2	=	=	PUNCT
ejpam-5639	60	3	∇ft	∇ft	PROPN
ejpam-5639	61	1	k	k	X
ejpam-5639	61	2	y	y	PROPN
ejpam-5639	61	3	∗	∗	PROPN
ejpam-5639	62	1	k−1	k−1	PROPN
ejpam-5639	62	2	dtk−1y	dtk−1y	PROPN
ejpam-5639	62	3	∗	∗	PROPN
ejpam-5639	62	4	k−1	k−1	PROPN
ejpam-5639	62	5	−	−	PROPN
ejpam-5639	62	6	t	t	NOUN
ejpam-5639	62	7	∇ft	∇ft	PRON
ejpam-5639	63	1	k	k	PROPN
ejpam-5639	63	2	sk−1	sk−1	PROPN
ejpam-5639	63	3	dtk−1y	dtk−1y	PROPN
ejpam-5639	63	4	∗	∗	PROPN
ejpam-5639	63	5	k−1	k−1	PROPN
ejpam-5639	63	6	,	,	PUNCT
ejpam-5639	63	7	where	where	SCONJ
ejpam-5639	63	8	y∗k−1	y∗k−1	PROPN
ejpam-5639	63	9	=	=	SYM
ejpam-5639	63	10	yk−1	yk−1	PROPN
ejpam-5639	63	11	+	+	CCONJ
ejpam-5639	63	12	θk−1	θk−1	PROPN
ejpam-5639	63	13	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	63	14	sk−1	sk−1	PROPN
ejpam-5639	63	15	,	,	PUNCT
ejpam-5639	63	16	θk−1	θk−1	NOUN
ejpam-5639	63	17	=	=	PUNCT
ejpam-5639	63	18	2(fk−1	2(fk−1	NUM
ejpam-5639	63	19	−	−	PROPN
ejpam-5639	63	20	fk	fk	INTJ
ejpam-5639	63	21	)	)	PUNCT
ejpam-5639	63	22	+	+	CCONJ
ejpam-5639	63	23	(	(	PUNCT
ejpam-5639	63	24	∇fk−1	∇fk−1	NUM
ejpam-5639	63	25	+	+	NOUN
ejpam-5639	63	26	∇fk	∇fk	NOUN
ejpam-5639	63	27	)	)	PUNCT
ejpam-5639	63	28	t	t	NOUN
ejpam-5639	63	29	sk−1	sk−1	PROPN
ejpam-5639	63	30	.	.	PUNCT
ejpam-5639	64	1	hager	hager	NOUN
ejpam-5639	64	2	and	and	CCONJ
ejpam-5639	64	3	zhang	zhang	PROPN
ejpam-5639	65	1	[	[	X
ejpam-5639	65	2	12	12	NUM
ejpam-5639	65	3	]	]	PUNCT
ejpam-5639	65	4	stated	state	VERB
ejpam-5639	65	5	the	the	DET
ejpam-5639	65	6	cg	cg	NOUN
ejpam-5639	65	7	formula	formula	NOUN
ejpam-5639	65	8	expressed	express	VERB
ejpam-5639	65	9	by	by	ADP
ejpam-5639	65	10	:	:	PUNCT
ejpam-5639	65	11	βhz	βhz	X
ejpam-5639	65	12	k	k	NOUN
ejpam-5639	65	13	=	=	PUNCT
ejpam-5639	66	1	max{βn	max{βn	PROPN
ejpam-5639	66	2	k	k	X
ejpam-5639	66	3	,	,	PUNCT
ejpam-5639	66	4	ηk	ηk	PROPN
ejpam-5639	66	5	}	}	PUNCT
ejpam-5639	66	6	,	,	PUNCT
ejpam-5639	66	7	in	in	ADP
ejpam-5639	66	8	which	which	PRON
ejpam-5639	66	9	βn	βn	NOUN
ejpam-5639	66	10	k	k	PROPN
ejpam-5639	66	11	=	=	SYM
ejpam-5639	66	12	1	1	NUM
ejpam-5639	66	13	dtk	dtk	PROPN
ejpam-5639	66	14	yk	yk	PROPN
ejpam-5639	66	15	(	(	PUNCT
ejpam-5639	66	16	yk	yk	PROPN
ejpam-5639	66	17	−	−	PROPN
ejpam-5639	66	18	2dk	2dk	PROPN
ejpam-5639	66	19	∥yk∥2	∥yk∥2	PROPN
ejpam-5639	66	20	dtk	dtk	PROPN
ejpam-5639	66	21	yk	yk	PROPN
ejpam-5639	66	22	)	)	PUNCT
ejpam-5639	66	23	t	t	PROPN
ejpam-5639	66	24	gk	gk	PROPN
ejpam-5639	66	25	,	,	PUNCT
ejpam-5639	66	26	ηk	ηk	PROPN
ejpam-5639	66	27	=	=	SYM
ejpam-5639	66	28	−	−	PROPN
ejpam-5639	66	29	1	1	NUM
ejpam-5639	66	30	∥dk∥	∥dk∥	NOUN
ejpam-5639	66	31	min{η	min{η	PROPN
ejpam-5639	66	32	,	,	PUNCT
ejpam-5639	66	33	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	66	34	}	}	PUNCT
ejpam-5639	66	35	,	,	PUNCT
ejpam-5639	66	36	while	while	SCONJ
ejpam-5639	66	37	η	η	PROPN
ejpam-5639	66	38	>	>	X
ejpam-5639	66	39	0	0	NUM
ejpam-5639	66	40	denotes	denote	VERB
ejpam-5639	66	41	a	a	DET
ejpam-5639	66	42	constant	constant	ADJ
ejpam-5639	66	43	.	.	PUNCT
ejpam-5639	67	1	alhawarat	alhawarat	PROPN
ejpam-5639	67	2	et	et	PROPN
ejpam-5639	67	3	al	al	PROPN
ejpam-5639	67	4	.	.	PUNCT
ejpam-5639	68	1	[	[	X
ejpam-5639	68	2	3	3	X
ejpam-5639	68	3	]	]	PUNCT
ejpam-5639	68	4	introduced	introduce	VERB
ejpam-5639	68	5	an	an	DET
ejpam-5639	68	6	effective	effective	ADJ
ejpam-5639	68	7	hybrid	hybrid	ADJ
ejpam-5639	68	8	cg	cg	NOUN
ejpam-5639	68	9	method	method	NOUN
ejpam-5639	68	10	that	that	PRON
ejpam-5639	68	11	incorporates	incorporate	VERB
ejpam-5639	68	12	the	the	DET
ejpam-5639	68	13	swp	swp	NOUN
ejpam-5639	68	14	line	line	NOUN
ejpam-5639	68	15	search	search	NOUN
ejpam-5639	68	16	,	,	PUNCT
ejpam-5639	68	17	as	as	SCONJ
ejpam-5639	68	18	described	describe	VERB
ejpam-5639	68	19	below	below	ADV
ejpam-5639	68	20	:	:	PUNCT
ejpam-5639	68	21	dprp	dprp	PROPN
ejpam-5639	68	22	∗	∗	PROPN
ejpam-5639	68	23	k	k	PROPN
ejpam-5639	69	1	=	=	X
ejpam-5639	69	2			X
ejpam-5639	69	3	−∇fk	−∇fk	NOUN
ejpam-5639	69	4	,	,	PUNCT
ejpam-5639	69	5	k	k	PROPN
ejpam-5639	69	6	=	=	SYM
ejpam-5639	69	7	1	1	NUM
ejpam-5639	69	8	,	,	PUNCT
ejpam-5639	69	9	−∇fk	−∇fk	NOUN
ejpam-5639	69	10	+	+	CCONJ
ejpam-5639	69	11	(	(	PUNCT
ejpam-5639	69	12	∇ft	∇ft	ADV
ejpam-5639	69	13	k	k	PROPN
ejpam-5639	69	14	∇fk−∇ft	∇fk−∇ft	PROPN
ejpam-5639	69	15	k	k	PROPN
ejpam-5639	69	16	∇fk−1	∇fk−1	PROPN
ejpam-5639	69	17	∥∇fk−1∥2	∥∇fk−1∥2	PROPN
ejpam-5639	69	18	)	)	PUNCT
ejpam-5639	69	19	dk−1	dk−1	PROPN
ejpam-5639	69	20	,	,	PUNCT
ejpam-5639	69	21	if	if	SCONJ
ejpam-5639	69	22	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	69	23	>	>	X
ejpam-5639	69	24	∇ft	∇ft	PROPN
ejpam-5639	69	25	k	k	PROPN
ejpam-5639	69	26	∇fk−1	∇fk−1	PROPN
ejpam-5639	69	27	,	,	PUNCT
ejpam-5639	69	28	k	k	PROPN
ejpam-5639	69	29	≥	≥	NUM
ejpam-5639	69	30	2	2	NUM
ejpam-5639	69	31	,	,	PUNCT
ejpam-5639	69	32	βnprp	βnprp	PROPN
ejpam-5639	69	33	k	k	PROPN
ejpam-5639	69	34	,	,	PUNCT
ejpam-5639	69	35	elsewhere	elsewhere	ADV
ejpam-5639	69	36	.	.	PUNCT
ejpam-5639	70	1	where	where	SCONJ
ejpam-5639	70	2	βnprp	βnprp	ADJ
ejpam-5639	70	3	k	k	NOUN
ejpam-5639	70	4	=	=	SYM
ejpam-5639	70	5	gtk	gtk	NOUN
ejpam-5639	70	6	gk−	gk−	PROPN
ejpam-5639	70	7	∥gk∥	∥gk∥	NUM
ejpam-5639	70	8	∥gk−1∥	∥gk−1∥	NOUN
ejpam-5639	70	9	|g	|g	PROPN
ejpam-5639	70	10	t	t	PROPN
ejpam-5639	70	11	k	k	X
ejpam-5639	70	12	gk−1|	gk−1|	X
ejpam-5639	70	13	∥gk−1∥2	∥gk−1∥2	ADV
ejpam-5639	70	14	.	.	PUNCT
ejpam-5639	71	1	to	to	PART
ejpam-5639	71	2	introduce	introduce	VERB
ejpam-5639	71	3	a	a	DET
ejpam-5639	71	4	positive	positive	ADJ
ejpam-5639	71	5	cg	cg	NOUN
ejpam-5639	71	6	method	method	NOUN
ejpam-5639	71	7	,	,	PUNCT
ejpam-5639	71	8	alhawarat	alhawarat	PROPN
ejpam-5639	71	9	et	et	PROPN
ejpam-5639	71	10	al	al	PROPN
ejpam-5639	71	11	.	.	PUNCT
ejpam-5639	72	1	[	[	X
ejpam-5639	72	2	4	4	X
ejpam-5639	72	3	]	]	PUNCT
ejpam-5639	72	4	expressed	express	VERB
ejpam-5639	72	5	the	the	DET
ejpam-5639	72	6	positive	positive	ADJ
ejpam-5639	72	7	cg	cg	NOUN
ejpam-5639	72	8	formula	formula	NOUN
ejpam-5639	72	9	having	have	VERB
ejpam-5639	72	10	a	a	DET
ejpam-5639	72	11	novel	novel	ADJ
ejpam-5639	72	12	restart	restart	NOUN
ejpam-5639	72	13	property	property	NOUN
ejpam-5639	72	14	given	give	VERB
ejpam-5639	72	15	below	below	ADP
ejpam-5639	72	16	:	:	PUNCT
ejpam-5639	72	17	βazprp	βazprp	PROPN
ejpam-5639	72	18	k	k	PROPN
ejpam-5639	73	1	=	=	PUNCT
ejpam-5639	73	2	{	{	PUNCT
ejpam-5639	73	3	∥∇fk∥2−µk∇ft	∥∇fk∥2−µk∇ft	PROPN
ejpam-5639	73	4	k	k	PROPN
ejpam-5639	73	5	∇fk−1	∇fk−1	X
ejpam-5639	73	6	∥∇fk−1∥2	∥∇fk−1∥2	PROPN
ejpam-5639	73	7	,	,	PUNCT
ejpam-5639	73	8	if	if	SCONJ
ejpam-5639	73	9	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	73	10	>	>	X
ejpam-5639	73	11	µk|∇ft	µk|∇ft	NOUN
ejpam-5639	73	12	k	k	PROPN
ejpam-5639	73	13	∇fk−1|	∇fk−1|	PROPN
ejpam-5639	73	14	,	,	PUNCT
ejpam-5639	73	15	0	0	NUM
ejpam-5639	73	16	,	,	PUNCT
ejpam-5639	73	17	otherwise	otherwise	ADV
ejpam-5639	73	18	.	.	PUNCT
ejpam-5639	74	1	a.	a.	NOUN
ejpam-5639	74	2	alhawarat	alhawarat	PROPN
ejpam-5639	74	3	et	et	PROPN
ejpam-5639	74	4	al	al	PROPN
ejpam-5639	74	5	.	.	PUNCT
ejpam-5639	74	6	/	/	SYM
ejpam-5639	74	7	eur	eur	PROPN
ejpam-5639	74	8	.	.	PUNCT
ejpam-5639	75	1	j.	j.	PROPN
ejpam-5639	75	2	pure	pure	PROPN
ejpam-5639	75	3	appl	appl	PROPN
ejpam-5639	75	4	.	.	PROPN
ejpam-5639	75	5	math	math	PROPN
ejpam-5639	75	6	,	,	PUNCT
ejpam-5639	75	7	18	18	NUM
ejpam-5639	75	8	(	(	PUNCT
ejpam-5639	75	9	1	1	NUM
ejpam-5639	75	10	)	)	PUNCT
ejpam-5639	75	11	(	(	PUNCT
ejpam-5639	75	12	2025	2025	NUM
ejpam-5639	75	13	)	)	PUNCT
ejpam-5639	75	14	,	,	PUNCT
ejpam-5639	75	15	5639	5639	NUM
ejpam-5639	75	16	4	4	NUM
ejpam-5639	75	17	of	of	ADP
ejpam-5639	75	18	27	27	NUM
ejpam-5639	75	19	in	in	ADP
ejpam-5639	75	20	which	which	PRON
ejpam-5639	75	21	∥·∥	∥·∥	PROPN
ejpam-5639	75	22	resembles	resemble	VERB
ejpam-5639	75	23	the	the	DET
ejpam-5639	75	24	euclidean	euclidean	ADJ
ejpam-5639	75	25	norm	norm	NOUN
ejpam-5639	75	26	,	,	PUNCT
ejpam-5639	75	27	while	while	SCONJ
ejpam-5639	75	28	µk	µk	NOUN
ejpam-5639	75	29	is	be	AUX
ejpam-5639	75	30	expressed	express	VERB
ejpam-5639	75	31	as	as	ADP
ejpam-5639	75	32	:	:	PUNCT
ejpam-5639	75	33	µk	µk	PROPN
ejpam-5639	75	34	=	=	SYM
ejpam-5639	75	35	∥xk	∥xk	PROPN
ejpam-5639	75	36	−	−	PROPN
ejpam-5639	75	37	xk−1∥	xk−1∥	PROPN
ejpam-5639	75	38	∥yk−1∥	∥yk−1∥	NOUN
ejpam-5639	75	39	.	.	PUNCT
ejpam-5639	76	1	jiang	jiang	PROPN
ejpam-5639	76	2	et	et	PROPN
ejpam-5639	76	3	al	al	PROPN
ejpam-5639	76	4	.	.	PUNCT
ejpam-5639	77	1	[	[	X
ejpam-5639	77	2	14	14	NUM
ejpam-5639	77	3	]	]	PUNCT
ejpam-5639	77	4	recommended	recommend	VERB
ejpam-5639	77	5	the	the	DET
ejpam-5639	77	6	cg	cg	NOUN
ejpam-5639	77	7	method	method	NOUN
ejpam-5639	77	8	expressed	express	VERB
ejpam-5639	77	9	by	by	ADP
ejpam-5639	77	10	:	:	PUNCT
ejpam-5639	77	11	βjjsl	βjjsl	PROPN
ejpam-5639	77	12	k	k	PROPN
ejpam-5639	77	13	=	=	PUNCT
ejpam-5639	77	14	gtk	gtk	PROPN
ejpam-5639	77	15	yk−1	yk−1	PROPN
ejpam-5639	77	16	gtk−1yk−1	gtk−1yk−1	NOUN
ejpam-5639	77	17	.	.	PUNCT
ejpam-5639	78	1	to	to	PART
ejpam-5639	78	2	enhance	enhance	VERB
ejpam-5639	78	3	the	the	DET
ejpam-5639	78	4	efficacy	efficacy	NOUN
ejpam-5639	78	5	of	of	ADP
ejpam-5639	78	6	prior	prior	ADJ
ejpam-5639	78	7	methods	method	NOUN
ejpam-5639	78	8	,	,	PUNCT
ejpam-5639	78	9	they	they	PRON
ejpam-5639	78	10	established	establish	VERB
ejpam-5639	78	11	a	a	DET
ejpam-5639	78	12	restart	restart	NOUN
ejpam-5639	78	13	criterion	criterion	NOUN
ejpam-5639	78	14	,	,	PUNCT
ejpam-5639	78	15	which	which	PRON
ejpam-5639	78	16	is	be	AUX
ejpam-5639	78	17	specified	specify	VERB
ejpam-5639	78	18	below	below	ADV
ejpam-5639	78	19	.	.	PUNCT
ejpam-5639	79	1	dk	dk	X
ejpam-5639	79	2	=	=	PUNCT
ejpam-5639	79	3			PROPN
ejpam-5639	79	4	−gk	−gk	NOUN
ejpam-5639	79	5	,	,	PUNCT
ejpam-5639	79	6	k	k	PROPN
ejpam-5639	79	7	=	=	SYM
ejpam-5639	79	8	1	1	NUM
ejpam-5639	79	9	,	,	PUNCT
ejpam-5639	79	10	−gk	−gk	PROPN
ejpam-5639	79	11	+	+	NUM
ejpam-5639	79	12	βnsl	βnsl	X
ejpam-5639	79	13	k	k	PROPN
ejpam-5639	79	14	dk−1	dk−1	PROPN
ejpam-5639	79	15	+	+	CCONJ
ejpam-5639	79	16	gtk	gtk	NOUN
ejpam-5639	79	17	dk−1	dk−1	PROPN
ejpam-5639	79	18	dtk−1(gk−gk−1	dtk−1(gk−gk−1	NOUN
ejpam-5639	79	19	)	)	PUNCT
ejpam-5639	79	20	gk−1	gk−1	PROPN
ejpam-5639	79	21	,	,	PUNCT
ejpam-5639	79	22	if	if	SCONJ
ejpam-5639	79	23	0	0	NUM
ejpam-5639	79	24	≤	≤	NOUN
ejpam-5639	79	25	gtk	gtk	NOUN
ejpam-5639	79	26	gk−1	gk−1	PROPN
ejpam-5639	79	27	≤	≤	PROPN
ejpam-5639	79	28	∥gk∥2	∥gk∥2	PROPN
ejpam-5639	79	29	,	,	PUNCT
ejpam-5639	79	30	k	k	PROPN
ejpam-5639	79	31	≥	≥	NUM
ejpam-5639	79	32	2	2	NUM
ejpam-5639	79	33	,	,	PUNCT
ejpam-5639	79	34	−gk	−gk	PROPN
ejpam-5639	79	35	+	+	NOUN
ejpam-5639	79	36	gtk	gtk	NOUN
ejpam-5639	79	37	gk−1	gk−1	PROPN
ejpam-5639	79	38	∥gk−1∥2	∥gk−1∥2	ADJ
ejpam-5639	79	39	gk−1	gk−1	PROPN
ejpam-5639	79	40	,	,	PUNCT
ejpam-5639	79	41	k	k	PROPN
ejpam-5639	79	42	≥	≥	NUM
ejpam-5639	79	43	2	2	NUM
ejpam-5639	79	44	,	,	PUNCT
ejpam-5639	79	45	otherwise	otherwise	ADV
ejpam-5639	79	46	.	.	PUNCT
ejpam-5639	80	1	based	base	VERB
ejpam-5639	80	2	on	on	ADP
ejpam-5639	80	3	jiang	jiang	PROPN
ejpam-5639	80	4	et	et	PROPN
ejpam-5639	80	5	al	al	PROPN
ejpam-5639	80	6	.	.	PUNCT
ejpam-5639	81	1	[	[	X
ejpam-5639	81	2	14	14	NUM
ejpam-5639	81	3	]	]	SYM
ejpam-5639	81	4	modification	modification	NOUN
ejpam-5639	81	5	,	,	PUNCT
ejpam-5639	81	6	alhawarat	alhawarat	PROPN
ejpam-5639	81	7	et	et	PROPN
ejpam-5639	81	8	al	al	PROPN
ejpam-5639	81	9	.	.	PUNCT
ejpam-5639	82	1	[	[	X
ejpam-5639	82	2	2	2	X
ejpam-5639	82	3	]	]	PUNCT
ejpam-5639	82	4	present	present	NOUN
ejpam-5639	82	5	a	a	DET
ejpam-5639	82	6	3	3	NUM
ejpam-5639	82	7	-	-	PUNCT
ejpam-5639	82	8	term	term	NOUN
ejpam-5639	82	9	cg	cg	NOUN
ejpam-5639	82	10	method	method	NOUN
ejpam-5639	82	11	expressed	express	VERB
ejpam-5639	82	12	below	below	ADV
ejpam-5639	82	13	:	:	PUNCT
ejpam-5639	82	14	dk	dk	X
ejpam-5639	82	15	=	=	PUNCT
ejpam-5639	82	16			PROPN
ejpam-5639	82	17	−gk	−gk	NOUN
ejpam-5639	82	18	,	,	PUNCT
ejpam-5639	82	19	k	k	PROPN
ejpam-5639	82	20	=	=	SYM
ejpam-5639	82	21	1	1	NUM
ejpam-5639	82	22	,	,	PUNCT
ejpam-5639	82	23	−gk	−gk	PROPN
ejpam-5639	82	24	+	+	CCONJ
ejpam-5639	82	25	βhs	βhs	NOUN
ejpam-5639	82	26	k	k	PROPN
ejpam-5639	82	27	dk−1	dk−1	PROPN
ejpam-5639	82	28	+	+	CCONJ
ejpam-5639	82	29	gtk	gtk	NOUN
ejpam-5639	82	30	dk−1	dk−1	PROPN
ejpam-5639	82	31	dtk−1(gk−gk−1	dtk−1(gk−gk−1	NOUN
ejpam-5639	82	32	)	)	PUNCT
ejpam-5639	82	33	gk−1	gk−1	PROPN
ejpam-5639	82	34	,	,	PUNCT
ejpam-5639	82	35	if	if	SCONJ
ejpam-5639	82	36	∥gk∥2	∥gk∥2	PROPN
ejpam-5639	82	37	>	>	X
ejpam-5639	82	38	gtk	gtk	PROPN
ejpam-5639	82	39	gk−1	gk−1	PROPN
ejpam-5639	82	40	,	,	PUNCT
ejpam-5639	82	41	k	k	PROPN
ejpam-5639	82	42	≥	≥	NUM
ejpam-5639	82	43	2	2	NUM
ejpam-5639	82	44	,	,	PUNCT
ejpam-5639	82	45	−µk	−µk	PROPN
ejpam-5639	82	46	gtk	gtk	NOUN
ejpam-5639	82	47	sk−1	sk−1	PROPN
ejpam-5639	82	48	dtk−1(gk−gk−1	dtk−1(gk−gk−1	NOUN
ejpam-5639	82	49	)	)	PUNCT
ejpam-5639	82	50	dk−1	dk−1	PROPN
ejpam-5639	82	51	,	,	PUNCT
ejpam-5639	82	52	otherwise	otherwise	ADV
ejpam-5639	82	53	.	.	PUNCT
ejpam-5639	83	1	ma	ma	PROPN
ejpam-5639	83	2	et	et	PROPN
ejpam-5639	83	3	al.[18	al.[18	PROPN
ejpam-5639	83	4	]	]	PUNCT
ejpam-5639	83	5	presented	present	VERB
ejpam-5639	83	6	the	the	DET
ejpam-5639	83	7	3	3	NUM
ejpam-5639	83	8	-	-	PUNCT
ejpam-5639	83	9	term	term	NOUN
ejpam-5639	83	10	cg	cg	NOUN
ejpam-5639	83	11	method	method	NOUN
ejpam-5639	83	12	expressed	express	VERB
ejpam-5639	83	13	by	by	ADP
ejpam-5639	83	14	:	:	PUNCT
ejpam-5639	83	15	dk	dk	PROPN
ejpam-5639	83	16	=	=	SYM
ejpam-5639	83	17			X
ejpam-5639	83	18	−∇fk	−∇fk	PROPN
ejpam-5639	83	19	,	,	PUNCT
ejpam-5639	83	20	k	k	PROPN
ejpam-5639	83	21	=	=	SYM
ejpam-5639	83	22	1	1	NUM
ejpam-5639	83	23	,	,	PUNCT
ejpam-5639	83	24	−∇fk	−∇fk	NOUN
ejpam-5639	83	25	+	+	CCONJ
ejpam-5639	83	26	βls	βls	NOUN
ejpam-5639	83	27	k	k	PROPN
ejpam-5639	83	28	dk−1	dk−1	PROPN
ejpam-5639	83	29	+	+	CCONJ
ejpam-5639	83	30	ξ	ξ	X
ejpam-5639	83	31	∇ft	∇ft	NOUN
ejpam-5639	83	32	k	k	PROPN
ejpam-5639	83	33	qk	qk	ADP
ejpam-5639	83	34	∥qk−1∥qk−1	∥qk−1∥qk−1	PROPN
ejpam-5639	83	35	,	,	PUNCT
ejpam-5639	83	36	k	k	PROPN
ejpam-5639	83	37	≥	≥	NUM
ejpam-5639	83	38	2	2	NUM
ejpam-5639	83	39	,	,	PUNCT
ejpam-5639	83	40	βls	βls	VERB
ejpam-5639	83	41	k	k	PRON
ejpam-5639	83	42	∥∇ft	∥∇ft	NOUN
ejpam-5639	83	43	k	k	X
ejpam-5639	84	1	dk−1∥	dk−1∥	NOUN
ejpam-5639	84	2	<	<	X
ejpam-5639	84	3	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	84	4	,	,	PUNCT
ejpam-5639	84	5	−∇fk	−∇fk	NOUN
ejpam-5639	84	6	+	+	CCONJ
ejpam-5639	84	7	ξ	ξ	SYM
ejpam-5639	84	8	∇ft	∇ft	NOUN
ejpam-5639	84	9	k	k	NOUN
ejpam-5639	84	10	qk	qk	ADP
ejpam-5639	84	11	∥qk−1∥2	∥qk−1∥2	ADJ
ejpam-5639	84	12	qk−1	qk−1	PROPN
ejpam-5639	84	13	,	,	PUNCT
ejpam-5639	84	14	otherwise	otherwise	ADV
ejpam-5639	84	15	.	.	PUNCT
ejpam-5639	85	1	where	where	SCONJ
ejpam-5639	85	2	0	0	NUM
ejpam-5639	85	3	≤	≤	SYM
ejpam-5639	85	4	ξ	ξ	X
ejpam-5639	85	5	≤	≤	NUM
ejpam-5639	85	6	1	1	NUM
ejpam-5639	85	7	,	,	PUNCT
ejpam-5639	85	8	0	0	NUM
ejpam-5639	85	9	≤	≤	NUM
ejpam-5639	85	10	µ	µ	X
ejpam-5639	85	11	≤	≤	NUM
ejpam-5639	85	12	1	1	NUM
ejpam-5639	85	13	,	,	PUNCT
ejpam-5639	85	14	while	while	SCONJ
ejpam-5639	85	15	qk−1	qk−1	NOUN
ejpam-5639	85	16	is	be	AUX
ejpam-5639	85	17	any	any	DET
ejpam-5639	85	18	non	non	ADJ
ejpam-5639	85	19	-	-	ADJ
ejpam-5639	85	20	zero	zero	NUM
ejpam-5639	85	21	vector	vector	NOUN
ejpam-5639	85	22	.	.	PUNCT
ejpam-5639	86	1	jiang	jiang	PROPN
ejpam-5639	86	2	et	et	PROPN
ejpam-5639	86	3	al	al	PROPN
ejpam-5639	86	4	.	.	PUNCT
ejpam-5639	87	1	[	[	X
ejpam-5639	87	2	15	15	NUM
ejpam-5639	87	3	]	]	PUNCT
ejpam-5639	87	4	developed	develop	VERB
ejpam-5639	87	5	the	the	DET
ejpam-5639	87	6	cg	cg	NOUN
ejpam-5639	87	7	method	method	NOUN
ejpam-5639	87	8	expressed	express	VERB
ejpam-5639	87	9	by	by	ADP
ejpam-5639	87	10	:	:	PUNCT
ejpam-5639	87	11	dk	dk	PROPN
ejpam-5639	87	12	=	=	SYM
ejpam-5639	87	13			X
ejpam-5639	87	14	−∇fk	−∇fk	PROPN
ejpam-5639	87	15	,	,	PUNCT
ejpam-5639	87	16	k	k	PROPN
ejpam-5639	87	17	=	=	SYM
ejpam-5639	87	18	1	1	NUM
ejpam-5639	87	19	,	,	PUNCT
ejpam-5639	87	20	−∇fk	−∇fk	NOUN
ejpam-5639	87	21	+	+	CCONJ
ejpam-5639	87	22	βtdl	βtdl	NOUN
ejpam-5639	87	23	k	k	PROPN
ejpam-5639	87	24	dk−1	dk−1	PROPN
ejpam-5639	87	25	,	,	PUNCT
ejpam-5639	87	26	k	k	PROPN
ejpam-5639	87	27	≥	≥	NUM
ejpam-5639	87	28	2	2	NUM
ejpam-5639	87	29	,	,	PUNCT
ejpam-5639	88	1	βtdl	βtdl	NOUN
ejpam-5639	88	2	k	k	PROPN
ejpam-5639	88	3	∇ft	∇ft	PROPN
ejpam-5639	89	1	k	k	X
ejpam-5639	89	2	dk−1	dk−1	PROPN
ejpam-5639	89	3	<	<	X
ejpam-5639	89	4	ξ∥∇fk∥2	ξ∥∇fk∥2	X
ejpam-5639	89	5	,	,	PUNCT
ejpam-5639	89	6	−∇fk	−∇fk	X
ejpam-5639	89	7	+	+	CCONJ
ejpam-5639	89	8	ξ	ξ	SYM
ejpam-5639	89	9	∇ft	∇ft	NOUN
ejpam-5639	89	10	k	k	NOUN
ejpam-5639	89	11	qk	qk	ADP
ejpam-5639	89	12	∥qk−1∥2	∥qk−1∥2	ADJ
ejpam-5639	89	13	qk−1	qk−1	PROPN
ejpam-5639	89	14	,	,	PUNCT
ejpam-5639	89	15	otherwise	otherwise	ADV
ejpam-5639	89	16	.	.	PUNCT
ejpam-5639	90	1	in	in	ADP
ejpam-5639	90	2	which	which	PRON
ejpam-5639	90	3	βtidl	βtidl	PROPN
ejpam-5639	90	4	k	k	PROPN
ejpam-5639	90	5	=	=	SYM
ejpam-5639	90	6	min{βidl	min{βidl	PROPN
ejpam-5639	91	1	k	k	PROPN
ejpam-5639	91	2	,	,	PUNCT
ejpam-5639	91	3	κ	κ	PROPN
ejpam-5639	91	4	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	91	5	∥dk−1∥	∥dk−1∥	PROPN
ejpam-5639	91	6	}	}	PUNCT
ejpam-5639	91	7	,	,	PUNCT
ejpam-5639	91	8	β	β	X
ejpam-5639	91	9	idl	idl	NOUN
ejpam-5639	91	10	k	k	NOUN
ejpam-5639	91	11	=	=	PUNCT
ejpam-5639	91	12	∇ft	∇ft	PROPN
ejpam-5639	92	1	k	k	X
ejpam-5639	92	2	yk−1−tk∇ft	yk−1−tk∇ft	NUM
ejpam-5639	92	3	k	k	NOUN
ejpam-5639	92	4	dk−1	dk−1	PROPN
ejpam-5639	92	5	dk−1(∇fk−∇fk−1	dk−1(∇fk−∇fk−1	NOUN
ejpam-5639	92	6	)	)	PUNCT
ejpam-5639	92	7	,	,	PUNCT
ejpam-5639	92	8	κ	κ	PROPN
ejpam-5639	92	9	is	be	AUX
ejpam-5639	92	10	a	a	DET
ejpam-5639	92	11	positive	positive	ADJ
ejpam-5639	92	12	constant	constant	ADJ
ejpam-5639	92	13	,	,	PUNCT
ejpam-5639	92	14	while	while	SCONJ
ejpam-5639	92	15	0	0	NUM
ejpam-5639	92	16	<	<	X
ejpam-5639	92	17	tk	tk	PROPN
ejpam-5639	92	18	<	<	X
ejpam-5639	92	19	ρ	ρ	PROPN
ejpam-5639	92	20	,	,	PUNCT
ejpam-5639	92	21	where	where	SCONJ
ejpam-5639	92	22	ρ	ρ	PROPN
ejpam-5639	92	23	is	be	AUX
ejpam-5639	92	24	a	a	DET
ejpam-5639	92	25	positive	positive	ADJ
ejpam-5639	92	26	constant	constant	NOUN
ejpam-5639	92	27	.	.	PUNCT
ejpam-5639	93	1	moreover	moreover	ADV
ejpam-5639	93	2	,	,	PUNCT
ejpam-5639	93	3	alhawarat	alhawarat	PROPN
ejpam-5639	93	4	et	et	PROPN
ejpam-5639	93	5	al	al	PROPN
ejpam-5639	93	6	.	.	PUNCT
ejpam-5639	94	1	[	[	X
ejpam-5639	94	2	2	2	X
ejpam-5639	94	3	]	]	PUNCT
ejpam-5639	94	4	established	establish	VERB
ejpam-5639	94	5	the	the	DET
ejpam-5639	94	6	4	4	NUM
ejpam-5639	94	7	-	-	PUNCT
ejpam-5639	94	8	term	term	NOUN
ejpam-5639	94	9	cgm	cgm	NOUN
ejpam-5639	94	10	by	by	ADP
ejpam-5639	94	11	employing	employ	VERB
ejpam-5639	94	12	the	the	DET
ejpam-5639	94	13	directions	direction	NOUN
ejpam-5639	94	14	expressed	express	VERB
ejpam-5639	94	15	below	below	ADV
ejpam-5639	94	16	:	:	PUNCT
ejpam-5639	94	17	−∇fk	−∇fk	ADJ
ejpam-5639	94	18	,	,	PUNCT
ejpam-5639	94	19	dk−1	dk−1	PROPN
ejpam-5639	94	20	,	,	PUNCT
ejpam-5639	94	21	yk−1	yk−1	PROPN
ejpam-5639	94	22	,	,	PUNCT
ejpam-5639	94	23	and	and	CCONJ
ejpam-5639	94	24	sk−1	sk−1	PROPN
ejpam-5639	94	25	a.	a.	NOUN
ejpam-5639	94	26	alhawarat	alhawarat	NOUN
ejpam-5639	94	27	et	et	PROPN
ejpam-5639	94	28	al	al	PROPN
ejpam-5639	94	29	.	.	PUNCT
ejpam-5639	94	30	/	/	SYM
ejpam-5639	94	31	eur	eur	PROPN
ejpam-5639	94	32	.	.	PUNCT
ejpam-5639	95	1	j.	j.	PROPN
ejpam-5639	95	2	pure	pure	PROPN
ejpam-5639	95	3	appl	appl	PROPN
ejpam-5639	95	4	.	.	PROPN
ejpam-5639	95	5	math	math	PROPN
ejpam-5639	95	6	,	,	PUNCT
ejpam-5639	95	7	18	18	NUM
ejpam-5639	95	8	(	(	PUNCT
ejpam-5639	95	9	1	1	NUM
ejpam-5639	95	10	)	)	PUNCT
ejpam-5639	95	11	(	(	PUNCT
ejpam-5639	95	12	2025	2025	NUM
ejpam-5639	95	13	)	)	PUNCT
ejpam-5639	95	14	,	,	PUNCT
ejpam-5639	95	15	5639	5639	NUM
ejpam-5639	95	16	5	5	NUM
ejpam-5639	95	17	of	of	ADP
ejpam-5639	95	18	27	27	NUM
ejpam-5639	95	19	dftcghs	dftcgh	NOUN
ejpam-5639	95	20	k	k	NOUN
ejpam-5639	95	21	=	=	PUNCT
ejpam-5639	95	22	−∇fk	−∇fk	PROPN
ejpam-5639	95	23	−	−	PROPN
ejpam-5639	95	24	tk	tk	PROPN
ejpam-5639	96	1	∇ft	∇ft	NOUN
ejpam-5639	96	2	k	k	PROPN
ejpam-5639	97	1	sk−1	sk−1	PROPN
ejpam-5639	97	2	ytk−1sk−1	ytk−1sk−1	NOUN
ejpam-5639	97	3	dk−1	dk−1	PROPN
ejpam-5639	97	4	−	−	PROPN
ejpam-5639	98	1	(	(	PUNCT
ejpam-5639	98	2	∇ft	∇ft	NOUN
ejpam-5639	98	3	k	k	NOUN
ejpam-5639	98	4	dk−1	dk−1	PROPN
ejpam-5639	98	5	ytk−1dk−1	ytk−1dk−1	PROPN
ejpam-5639	98	6	)	)	PUNCT
ejpam-5639	98	7	(	(	PUNCT
ejpam-5639	98	8	yk−1	yk−1	PROPN
ejpam-5639	98	9	+	+	CCONJ
ejpam-5639	98	10	sk−1	sk−1	ADJ
ejpam-5639	98	11	)	)	PUNCT
ejpam-5639	98	12	.	.	PUNCT
ejpam-5639	99	1	the	the	DET
ejpam-5639	99	2	descent	descent	NOUN
ejpam-5639	99	3	condition	condition	NOUN
ejpam-5639	99	4	(	(	PUNCT
ejpam-5639	99	5	dc	dc	PROPN
ejpam-5639	99	6	)	)	PUNCT
ejpam-5639	99	7	,	,	PUNCT
ejpam-5639	99	8	called	call	VERB
ejpam-5639	99	9	the	the	DET
ejpam-5639	99	10	downhill	downhill	NOUN
ejpam-5639	99	11	condition	condition	NOUN
ejpam-5639	99	12	,	,	PUNCT
ejpam-5639	99	13	is	be	AUX
ejpam-5639	99	14	written	write	VERB
ejpam-5639	99	15	as	as	ADP
ejpam-5639	99	16	∇ft	∇ft	ADV
ejpam-5639	99	17	k	k	X
ejpam-5639	100	1	dk	dk	X
ejpam-5639	100	2	<	<	X
ejpam-5639	100	3	0	0	PROPN
ejpam-5639	100	4	,	,	PUNCT
ejpam-5639	100	5	∀k	∀k	NOUN
ejpam-5639	100	6	≥	≥	NUM
ejpam-5639	100	7	1	1	NUM
ejpam-5639	100	8	.	.	PUNCT
ejpam-5639	101	1	(	(	PUNCT
ejpam-5639	101	2	7	7	X
ejpam-5639	101	3	)	)	PUNCT
ejpam-5639	101	4	is	be	AUX
ejpam-5639	101	5	crucial	crucial	ADJ
ejpam-5639	101	6	in	in	ADP
ejpam-5639	101	7	examining	examine	VERB
ejpam-5639	101	8	cg	cg	NOUN
ejpam-5639	101	9	methods	method	NOUN
ejpam-5639	101	10	,	,	PUNCT
ejpam-5639	101	11	which	which	PRON
ejpam-5639	101	12	is	be	AUX
ejpam-5639	101	13	also	also	ADV
ejpam-5639	101	14	a	a	DET
ejpam-5639	101	15	crucial	crucial	ADJ
ejpam-5639	101	16	part	part	NOUN
ejpam-5639	101	17	in	in	ADP
ejpam-5639	101	18	proving	prove	VERB
ejpam-5639	101	19	the	the	DET
ejpam-5639	101	20	global	global	ADJ
ejpam-5639	101	21	convergence	convergence	NOUN
ejpam-5639	101	22	analysis	analysis	NOUN
ejpam-5639	101	23	.	.	PUNCT
ejpam-5639	102	1	for	for	ADP
ejpam-5639	102	2	example	example	NOUN
ejpam-5639	102	3	,	,	PUNCT
ejpam-5639	102	4	al	al	PROPN
ejpam-5639	102	5	-	-	PUNCT
ejpam-5639	102	6	baali	baali	PROPN
ejpam-5639	102	7	[	[	X
ejpam-5639	102	8	1	1	NUM
ejpam-5639	102	9	]	]	PUNCT
ejpam-5639	102	10	altered	alter	VERB
ejpam-5639	102	11	eqn.(7	eqn.(7	PROPN
ejpam-5639	102	12	)	)	PUNCT
ejpam-5639	102	13	as	as	SCONJ
ejpam-5639	102	14	follows	follow	VERB
ejpam-5639	102	15	and	and	CCONJ
ejpam-5639	102	16	employed	employ	VERB
ejpam-5639	102	17	it	it	PRON
ejpam-5639	102	18	in	in	ADP
ejpam-5639	102	19	proving	prove	VERB
ejpam-5639	102	20	the	the	DET
ejpam-5639	102	21	fr	fr	ADJ
ejpam-5639	102	22	method	method	NOUN
ejpam-5639	102	23	:	:	PUNCT
ejpam-5639	102	24	∇ft	∇ft	NOUN
ejpam-5639	102	25	k	k	X
ejpam-5639	102	26	dk	dk	PROPN
ejpam-5639	102	27	≤	≤	PROPN
ejpam-5639	102	28	−c∥∇fk∥2	−c∥∇fk∥2	NOUN
ejpam-5639	102	29	,	,	PUNCT
ejpam-5639	102	30	∀k	∀k	NOUN
ejpam-5639	102	31	≥	≥	NUM
ejpam-5639	102	32	1	1	NUM
ejpam-5639	102	33	,	,	PUNCT
ejpam-5639	102	34	c	c	PROPN
ejpam-5639	102	35	∈	∈	PROPN
ejpam-5639	102	36	(	(	PUNCT
ejpam-5639	102	37	0	0	NUM
ejpam-5639	102	38	,	,	PUNCT
ejpam-5639	102	39	1	1	NUM
ejpam-5639	102	40	)	)	PUNCT
ejpam-5639	102	41	.	.	PUNCT
ejpam-5639	103	1	(	(	PUNCT
ejpam-5639	103	2	8)	8)	NUM
ejpam-5639	103	3	in	in	ADP
ejpam-5639	103	4	which	which	PRON
ejpam-5639	103	5	c	c	PROPN
ejpam-5639	103	6	∈	∈	PROPN
ejpam-5639	103	7	(	(	PUNCT
ejpam-5639	103	8	0	0	NUM
ejpam-5639	103	9	,	,	PUNCT
ejpam-5639	103	10	1	1	NUM
ejpam-5639	103	11	)	)	PUNCT
ejpam-5639	103	12	.	.	PUNCT
ejpam-5639	104	1	here	here	ADV
ejpam-5639	104	2	,	,	PUNCT
ejpam-5639	104	3	eqn	eqn	PROPN
ejpam-5639	104	4	.	.	PUNCT
ejpam-5639	105	1	(	(	PUNCT
ejpam-5639	105	2	10	10	NUM
ejpam-5639	105	3	)	)	PUNCT
ejpam-5639	105	4	given	give	VERB
ejpam-5639	105	5	below	below	ADP
ejpam-5639	105	6	resembles	resemble	NOUN
ejpam-5639	105	7	the	the	DET
ejpam-5639	105	8	sufficient	sufficient	ADJ
ejpam-5639	105	9	dc	dc	NOUN
ejpam-5639	105	10	.	.	PUNCT
ejpam-5639	106	1	furthermore	furthermore	ADV
ejpam-5639	106	2	,	,	PUNCT
ejpam-5639	106	3	it	it	PRON
ejpam-5639	106	4	has	have	VERB
ejpam-5639	106	5	better	well	ADJ
ejpam-5639	106	6	performance	performance	NOUN
ejpam-5639	106	7	than	than	ADP
ejpam-5639	106	8	eqn.(9	eqn.(9	PROPN
ejpam-5639	106	9	)	)	PUNCT
ejpam-5639	106	10	because	because	SCONJ
ejpam-5639	106	11	the	the	DET
ejpam-5639	106	12	quantity	quantity	NOUN
ejpam-5639	106	13	of	of	ADP
ejpam-5639	106	14	may	may	AUX
ejpam-5639	106	15	be	be	AUX
ejpam-5639	106	16	regulated	regulate	VERB
ejpam-5639	106	17	by	by	ADP
ejpam-5639	106	18	utilising	utilise	VERB
ejpam-5639	106	19	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	106	20	:	:	PUNCT
ejpam-5639	106	21	2	2	NUM
ejpam-5639	106	22	.	.	NUM
ejpam-5639	106	23	proposed	propose	VERB
ejpam-5639	106	24	cg	cg	NOUN
ejpam-5639	106	25	method	method	NOUN
ejpam-5639	106	26	related	relate	VERB
ejpam-5639	106	27	to	to	ADP
ejpam-5639	106	28	βfr	βfr	PROPN
ejpam-5639	106	29	k	k	PROPN
ejpam-5639	106	30	to	to	PART
ejpam-5639	106	31	maintain	maintain	VERB
ejpam-5639	106	32	or	or	CCONJ
ejpam-5639	106	33	improve	improve	VERB
ejpam-5639	106	34	the	the	DET
ejpam-5639	106	35	former	former	ADJ
ejpam-5639	106	36	useful	useful	ADJ
ejpam-5639	106	37	behavior	behavior	NOUN
ejpam-5639	106	38	and	and	CCONJ
ejpam-5639	106	39	rectify	rectify	VERB
ejpam-5639	106	40	any	any	DET
ejpam-5639	106	41	formula	formula	NOUN
ejpam-5639	106	42	related	relate	VERB
ejpam-5639	106	43	to	to	ADP
ejpam-5639	106	44	βfr	βfr	PROPN
ejpam-5639	106	45	k	k	NOUN
ejpam-5639	106	46	,	,	PUNCT
ejpam-5639	106	47	we	we	PRON
ejpam-5639	106	48	construct	construct	VERB
ejpam-5639	106	49	a	a	DET
ejpam-5639	106	50	new	new	ADJ
ejpam-5639	106	51	3	3	NUM
ejpam-5639	106	52	-	-	PUNCT
ejpam-5639	106	53	term	term	NOUN
ejpam-5639	106	54	cg	cg	NOUN
ejpam-5639	106	55	method	method	NOUN
ejpam-5639	106	56	relying	rely	VERB
ejpam-5639	106	57	on	on	ADP
ejpam-5639	106	58	[	[	X
ejpam-5639	106	59	18	18	NUM
ejpam-5639	106	60	]	]	PUNCT
ejpam-5639	106	61	and	and	CCONJ
ejpam-5639	106	62	based	base	VERB
ejpam-5639	106	63	on	on	ADP
ejpam-5639	106	64	taylor	taylor	PROPN
ejpam-5639	106	65	’s	’s	PART
ejpam-5639	106	66	expansion	expansion	NOUN
ejpam-5639	106	67	as	as	SCONJ
ejpam-5639	106	68	given	give	VERB
ejpam-5639	106	69	below	below	ADV
ejpam-5639	106	70	:	:	PUNCT
ejpam-5639	106	71	let	let	VERB
ejpam-5639	106	72	f(xk−1	f(xk−1	X
ejpam-5639	106	73	)	)	PUNCT
ejpam-5639	107	1	≈	≈	PROPN
ejpam-5639	108	1	f(xk)−∇ft	f(xk)−∇ft	NUM
ejpam-5639	108	2	k	k	PROPN
ejpam-5639	108	3	sk−1	sk−1	PROPN
ejpam-5639	109	1	+	+	CCONJ
ejpam-5639	109	2	1	1	NUM
ejpam-5639	109	3	2s	2s	NUM
ejpam-5639	109	4	t	t	PROPN
ejpam-5639	109	5	k−1g(xk)sk−1	k−1g(xk)sk−1	PROPN
ejpam-5639	109	6	,	,	PUNCT
ejpam-5639	109	7	where	where	SCONJ
ejpam-5639	109	8	g(xk	g(xk	NOUN
ejpam-5639	109	9	)	)	PUNCT
ejpam-5639	109	10	is	be	AUX
ejpam-5639	109	11	a	a	DET
ejpam-5639	109	12	hessian	hessian	ADJ
ejpam-5639	109	13	matrix	matrix	NOUN
ejpam-5639	109	14	.	.	PUNCT
ejpam-5639	110	1	−(−f(xk−1	−(−f(xk−1	PUNCT
ejpam-5639	110	2	)	)	PUNCT
ejpam-5639	111	1	+	+	CCONJ
ejpam-5639	111	2	f(xk	f(xk	NOUN
ejpam-5639	111	3	)	)	PUNCT
ejpam-5639	111	4	)	)	PUNCT
ejpam-5639	112	1	=	=	PRON
ejpam-5639	112	2	−∇ft	−∇ft	NOUN
ejpam-5639	113	1	k	k	PROPN
ejpam-5639	113	2	sk−1	sk−1	PROPN
ejpam-5639	114	1	+	+	CCONJ
ejpam-5639	114	2	1	1	NUM
ejpam-5639	114	3	2	2	NUM
ejpam-5639	114	4	stk−1g(xk)sk−1	stk−1g(xk)sk−1	NOUN
ejpam-5639	114	5	2(f(xk)−	2(f(xk)−	NUM
ejpam-5639	114	6	f(xk−1	f(xk−1	NOUN
ejpam-5639	114	7	)	)	PUNCT
ejpam-5639	114	8	)	)	PUNCT
ejpam-5639	115	1	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	115	2	sk−1	sk−1	PROPN
ejpam-5639	115	3	=	=	PUNCT
ejpam-5639	115	4	2gk	2gk	ADJ
ejpam-5639	115	5	−g(xk)sk−1	−g(xk)sk−1	PROPN
ejpam-5639	115	6	2(f(xk)−	2(f(xk)−	NUM
ejpam-5639	115	7	f(xk−1	f(xk−1	NOUN
ejpam-5639	115	8	)	)	PUNCT
ejpam-5639	115	9	)	)	PUNCT
ejpam-5639	116	1	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	117	1	sk−1	sk−1	PROPN
ejpam-5639	117	2	−	−	PROPN
ejpam-5639	117	3	2gk	2gk	NOUN
ejpam-5639	117	4	=	=	SYM
ejpam-5639	117	5	−g(xk)sk−1	−g(xk)sk−1	PROPN
ejpam-5639	117	6	.	.	PUNCT
ejpam-5639	118	1	let	let	VERB
ejpam-5639	118	2	(	(	PUNCT
ejpam-5639	118	3	f(xk)−	f(xk)−	NOUN
ejpam-5639	118	4	f(xk−1	f(xk−1	PROPN
ejpam-5639	118	5	)	)	PUNCT
ejpam-5639	118	6	)	)	PUNCT
ejpam-5639	119	1	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	119	2	sk−1	sk−1	PROPN
ejpam-5639	119	3	=	=	SYM
ejpam-5639	119	4	εk	εk	NOUN
ejpam-5639	119	5	.	.	PUNCT
ejpam-5639	120	1	thus	thus	ADV
ejpam-5639	120	2	,	,	PUNCT
ejpam-5639	120	3	it	it	PRON
ejpam-5639	120	4	is	be	AUX
ejpam-5639	120	5	acceptable	acceptable	ADJ
ejpam-5639	120	6	to	to	PART
ejpam-5639	120	7	add	add	VERB
ejpam-5639	120	8	εk	εk	NOUN
ejpam-5639	120	9	to	to	ADP
ejpam-5639	120	10	the	the	DET
ejpam-5639	120	11	search	search	NOUN
ejpam-5639	120	12	direction	direction	NOUN
ejpam-5639	120	13	with	with	ADP
ejpam-5639	120	14	regards	regard	NOUN
ejpam-5639	120	15	to	to	ADP
ejpam-5639	120	16	the	the	DET
ejpam-5639	120	17	cg	cg	NOUN
ejpam-5639	120	18	method	method	NOUN
ejpam-5639	120	19	given	give	VERB
ejpam-5639	120	20	below	below	ADV
ejpam-5639	120	21	:	:	PUNCT
ejpam-5639	120	22	dk	dk	X
ejpam-5639	120	23	=	=	PUNCT
ejpam-5639	120	24	−∇fk	−∇fk	X
ejpam-5639	120	25	+	+	CCONJ
ejpam-5639	120	26	βkdk−1	βkdk−1	PUNCT
ejpam-5639	120	27	+	+	CCONJ
ejpam-5639	120	28	εk	εk	ADJ
ejpam-5639	120	29	utilizing	utilize	VERB
ejpam-5639	120	30	eqn	eqn	NOUN
ejpam-5639	120	31	.	.	PUNCT
ejpam-5639	121	1	(	(	PUNCT
ejpam-5639	121	2	3	3	NUM
ejpam-5639	121	3	)	)	PUNCT
ejpam-5639	121	4	,	,	PUNCT
ejpam-5639	121	5	βfr	βfr	PROPN
ejpam-5639	121	6	k	k	NOUN
ejpam-5639	121	7	,	,	PUNCT
ejpam-5639	121	8	and	and	CCONJ
ejpam-5639	121	9	eqn	eqn	PROPN
ejpam-5639	121	10	.	.	PUNCT
ejpam-5639	122	1	(	(	PUNCT
ejpam-5639	122	2	6	6	NUM
ejpam-5639	122	3	)	)	PUNCT
ejpam-5639	122	4	,	,	PUNCT
ejpam-5639	122	5	the	the	DET
ejpam-5639	122	6	new	new	ADJ
ejpam-5639	122	7	search	search	NOUN
ejpam-5639	122	8	direction	direction	NOUN
ejpam-5639	122	9	become	become	AUX
ejpam-5639	122	10	given	give	VERB
ejpam-5639	122	11	by	by	ADP
ejpam-5639	122	12	:	:	PUNCT
ejpam-5639	122	13	dppr	dppr	NOUN
ejpam-5639	122	14	k	k	X
ejpam-5639	122	15	=	=	SYM
ejpam-5639	122	16			X
ejpam-5639	122	17	−∇fk	−∇fk	NOUN
ejpam-5639	122	18	,	,	PUNCT
ejpam-5639	122	19	k	k	PROPN
ejpam-5639	122	20	=	=	SYM
ejpam-5639	122	21	1	1	NUM
ejpam-5639	122	22	,	,	PUNCT
ejpam-5639	122	23	−∇fk	−∇fk	NOUN
ejpam-5639	122	24	+	+	CCONJ
ejpam-5639	122	25	βk	βk	NOUN
ejpam-5639	122	26	∥∇f⊤	∥∇f⊤	ADJ
ejpam-5639	122	27	k	k	NOUN
ejpam-5639	122	28	sk−1∥	sk−1∥	PROPN
ejpam-5639	122	29	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	122	30	sk−1	sk−1	PROPN
ejpam-5639	122	31	,	,	PUNCT
ejpam-5639	123	1	k	k	PROPN
ejpam-5639	123	2	≥	≥	NUM
ejpam-5639	123	3	2	2	NUM
ejpam-5639	123	4	,	,	PUNCT
ejpam-5639	123	5	|βk|	|βk|	PROPN
ejpam-5639	123	6	≤	≤	NUM
ejpam-5639	123	7	βppr	βppr	NOUN
ejpam-5639	123	8	k	k	NOUN
ejpam-5639	123	9	,	,	PUNCT
ejpam-5639	123	10	−∇fk	−∇fk	PROPN
ejpam-5639	123	11	−	−	PROPN
ejpam-5639	123	12	δ	δ	PROPN
ejpam-5639	123	13	∥∇f⊤	∥∇f⊤	X
ejpam-5639	123	14	k	k	PROPN
ejpam-5639	123	15	sk−1∥	sk−1∥	NOUN
ejpam-5639	123	16	∥sk−1∥	∥sk−1∥	NOUN
ejpam-5639	123	17	sk−1	sk−1	PROPN
ejpam-5639	123	18	,	,	PUNCT
ejpam-5639	123	19	otherwise	otherwise	ADV
ejpam-5639	123	20	.	.	PUNCT
ejpam-5639	124	1	(	(	PUNCT
ejpam-5639	124	2	9	9	X
ejpam-5639	124	3	)	)	PUNCT
ejpam-5639	124	4	a.	a.	NOUN
ejpam-5639	124	5	alhawarat	alhawarat	NOUN
ejpam-5639	124	6	et	et	PROPN
ejpam-5639	124	7	al	al	PROPN
ejpam-5639	124	8	.	.	PUNCT
ejpam-5639	124	9	/	/	SYM
ejpam-5639	124	10	eur	eur	PROPN
ejpam-5639	124	11	.	.	PUNCT
ejpam-5639	125	1	j.	j.	PROPN
ejpam-5639	125	2	pure	pure	PROPN
ejpam-5639	125	3	appl	appl	PROPN
ejpam-5639	125	4	.	.	PROPN
ejpam-5639	125	5	math	math	PROPN
ejpam-5639	125	6	,	,	PUNCT
ejpam-5639	125	7	18	18	NUM
ejpam-5639	125	8	(	(	PUNCT
ejpam-5639	125	9	1	1	NUM
ejpam-5639	125	10	)	)	PUNCT
ejpam-5639	125	11	(	(	PUNCT
ejpam-5639	125	12	2025	2025	NUM
ejpam-5639	125	13	)	)	PUNCT
ejpam-5639	125	14	,	,	PUNCT
ejpam-5639	125	15	5639	5639	NUM
ejpam-5639	125	16	6	6	NUM
ejpam-5639	125	17	of	of	ADP
ejpam-5639	125	18	27	27	NUM
ejpam-5639	125	19	in	in	ADP
ejpam-5639	125	20	this	this	DET
ejpam-5639	125	21	section	section	NOUN
ejpam-5639	125	22	,	,	PUNCT
ejpam-5639	125	23	we	we	PRON
ejpam-5639	125	24	employ	employ	VERB
ejpam-5639	125	25	βfr	βfr	PROPN
ejpam-5639	125	26	k	k	PROPN
ejpam-5639	125	27	as	as	ADP
ejpam-5639	125	28	a	a	DET
ejpam-5639	125	29	cg	cg	NOUN
ejpam-5639	125	30	formula	formula	NOUN
ejpam-5639	125	31	.	.	PUNCT
ejpam-5639	126	1	eqn	eqn	PROPN
ejpam-5639	126	2	.	.	PUNCT
ejpam-5639	127	1	(	(	PUNCT
ejpam-5639	127	2	9	9	X
ejpam-5639	127	3	)	)	PUNCT
ejpam-5639	127	4	can	can	AUX
ejpam-5639	127	5	be	be	AUX
ejpam-5639	127	6	used	use	VERB
ejpam-5639	127	7	for	for	ADP
ejpam-5639	127	8	any	any	DET
ejpam-5639	127	9	cg	cg	NOUN
ejpam-5639	127	10	formula	formula	NOUN
ejpam-5639	127	11	related	relate	VERB
ejpam-5639	127	12	to	to	ADP
ejpam-5639	127	13	the	the	DET
ejpam-5639	127	14	fr	fr	ADJ
ejpam-5639	127	15	method	method	NOUN
ejpam-5639	127	16	,	,	PUNCT
ejpam-5639	127	17	i.e.	i.e.	X
ejpam-5639	127	18	|βk|	|βk|	PROPN
ejpam-5639	127	19	≤	≤	PUNCT
ejpam-5639	127	20	βfr	βfr	PROPN
ejpam-5639	128	1	k	k	X
ejpam-5639	128	2	.	.	PUNCT
ejpam-5639	129	1	algorithm	algorithm	PROPN
ejpam-5639	129	2	1	1	NUM
ejpam-5639	129	3	illustrates	illustrate	VERB
ejpam-5639	129	4	the	the	DET
ejpam-5639	129	5	steps	step	NOUN
ejpam-5639	129	6	acquired	acquire	VERB
ejpam-5639	129	7	in	in	ADP
ejpam-5639	129	8	obtaining	obtain	VERB
ejpam-5639	129	9	the	the	DET
ejpam-5639	129	10	stationary	stationary	ADJ
ejpam-5639	129	11	point	point	NOUN
ejpam-5639	129	12	of	of	ADP
ejpam-5639	129	13	the	the	DET
ejpam-5639	129	14	optimization	optimization	NOUN
ejpam-5639	129	15	function	function	NOUN
ejpam-5639	129	16	.	.	PUNCT
ejpam-5639	130	1	algorithm	algorithm	NOUN
ejpam-5639	130	2	1	1	NUM
ejpam-5639	130	3	step	step	NOUN
ejpam-5639	130	4	1	1	NUM
ejpam-5639	130	5	.	.	PUNCT
ejpam-5639	130	6	establish	establish	VERB
ejpam-5639	130	7	an	an	DET
ejpam-5639	130	8	initial	initial	ADJ
ejpam-5639	130	9	point	point	NOUN
ejpam-5639	130	10	x1	x1	PROPN
ejpam-5639	130	11	,	,	PUNCT
ejpam-5639	130	12	initial	initial	ADJ
ejpam-5639	130	13	direction	direction	NOUN
ejpam-5639	130	14	d1	d1	PROPN
ejpam-5639	131	1	=	=	PUNCT
ejpam-5639	131	2	−g1	−g1	VERB
ejpam-5639	131	3	as	as	ADV
ejpam-5639	131	4	well	well	ADV
ejpam-5639	131	5	as	as	ADP
ejpam-5639	131	6	setk	setk	NOUN
ejpam-5639	131	7	:	:	PUNCT
ejpam-5639	131	8	=	=	SYM
ejpam-5639	131	9	1	1	NUM
ejpam-5639	131	10	step	step	NOUN
ejpam-5639	131	11	2.provided	2.provided	NUM
ejpam-5639	131	12	that	that	SCONJ
ejpam-5639	131	13	the	the	DET
ejpam-5639	131	14	stopping	stop	VERB
ejpam-5639	131	15	criterion	criterion	NOUN
ejpam-5639	131	16	is	be	AUX
ejpam-5639	131	17	met	meet	VERB
ejpam-5639	131	18	,	,	PUNCT
ejpam-5639	131	19	we	we	PRON
ejpam-5639	131	20	may	may	AUX
ejpam-5639	131	21	stop	stop	VERB
ejpam-5639	131	22	.	.	PUNCT
ejpam-5639	132	1	step	step	NOUN
ejpam-5639	132	2	3	3	NUM
ejpam-5639	132	3	.	.	PUNCT
ejpam-5639	132	4	calculate	calculate	VERB
ejpam-5639	132	5	the	the	DET
ejpam-5639	132	6	search	search	NOUN
ejpam-5639	132	7	direction	direction	NOUN
ejpam-5639	132	8	dk	dk	INTJ
ejpam-5639	132	9	according	accord	VERB
ejpam-5639	132	10	to	to	ADP
ejpam-5639	132	11	eqn	eqn	PROPN
ejpam-5639	132	12	.	.	PUNCT
ejpam-5639	133	1	(	(	PUNCT
ejpam-5639	133	2	2	2	X
ejpam-5639	133	3	)	)	PUNCT
ejpam-5639	133	4	utilizing	utilize	VERB
ejpam-5639	133	5	eqn	eqn	NOUN
ejpam-5639	133	6	.	.	PUNCT
ejpam-5639	134	1	(	(	PUNCT
ejpam-5639	134	2	9	9	NUM
ejpam-5639	134	3	)	)	PUNCT
ejpam-5639	134	4	.	.	PUNCT
ejpam-5639	135	1	step	step	NOUN
ejpam-5639	135	2	4	4	NUM
ejpam-5639	135	3	.	.	PUNCT
ejpam-5639	135	4	calculate	calculate	VERB
ejpam-5639	135	5	these	these	DET
ejpam-5639	135	6	step	step	NOUN
ejpam-5639	135	7	sizes	size	NOUN
ejpam-5639	135	8	αkutilizing	αkutilize	VERB
ejpam-5639	135	9	eqns	eqns	X
ejpam-5639	135	10	.	.	PUNCT
ejpam-5639	136	1	(	(	PUNCT
ejpam-5639	136	2	3	3	X
ejpam-5639	136	3	)	)	PUNCT
ejpam-5639	136	4	and	and	CCONJ
ejpam-5639	136	5	(	(	PUNCT
ejpam-5639	136	6	4	4	NUM
ejpam-5639	136	7	)	)	PUNCT
ejpam-5639	136	8	.	.	PUNCT
ejpam-5639	137	1	step	step	NOUN
ejpam-5639	137	2	5	5	NUM
ejpam-5639	137	3	.	.	PUNCT
ejpam-5639	137	4	update	update	NOUN
ejpam-5639	137	5	xk	xk	PROPN
ejpam-5639	138	1	relying	rely	VERB
ejpam-5639	138	2	on	on	ADP
ejpam-5639	138	3	eqn	eqn	NOUN
ejpam-5639	138	4	.	.	PUNCT
ejpam-5639	139	1	(	(	PUNCT
ejpam-5639	139	2	2	2	NUM
ejpam-5639	139	3	)	)	PUNCT
ejpam-5639	139	4	.	.	PUNCT
ejpam-5639	140	1	step	step	NOUN
ejpam-5639	140	2	6	6	NUM
ejpam-5639	140	3	.	.	PUNCT
ejpam-5639	141	1	set	set	VERB
ejpam-5639	141	2	k	k	NOUN
ejpam-5639	142	1	:	:	PUNCT
ejpam-5639	142	2	=	=	SYM
ejpam-5639	143	1	k	k	X
ejpam-5639	143	2	+	+	CCONJ
ejpam-5639	143	3	1	1	NUM
ejpam-5639	143	4	and	and	CCONJ
ejpam-5639	143	5	move	move	VERB
ejpam-5639	143	6	forward	forward	ADV
ejpam-5639	143	7	to	to	PART
ejpam-5639	143	8	step	step	VERB
ejpam-5639	143	9	2	2	NUM
ejpam-5639	143	10	.	.	NOUN
ejpam-5639	143	11	3	3	X
ejpam-5639	143	12	.	.	X
ejpam-5639	143	13	global	global	ADJ
ejpam-5639	143	14	convergence	convergence	NOUN
ejpam-5639	143	15	properties	property	NOUN
ejpam-5639	143	16	for	for	ADP
ejpam-5639	143	17	eqn	eqn	NOUN
ejpam-5639	143	18	.	.	PUNCT
ejpam-5639	144	1	11	11	NUM
ejpam-5639	144	2	the	the	DET
ejpam-5639	144	3	objective	objective	ADJ
ejpam-5639	144	4	function	function	NOUN
ejpam-5639	144	5	is	be	AUX
ejpam-5639	144	6	considered	consider	VERB
ejpam-5639	144	7	to	to	PART
ejpam-5639	144	8	be	be	AUX
ejpam-5639	144	9	subject	subject	ADJ
ejpam-5639	144	10	to	to	ADP
ejpam-5639	144	11	the	the	DET
ejpam-5639	144	12	following	following	ADJ
ejpam-5639	144	13	presumption	presumption	NOUN
ejpam-5639	144	14	.	.	PUNCT
ejpam-5639	145	1	assumption	assumption	NOUN
ejpam-5639	145	2	1	1	NUM
ejpam-5639	145	3	i.	i.	NOUN
ejpam-5639	145	4	the	the	DET
ejpam-5639	145	5	level	level	NOUN
ejpam-5639	145	6	set	set	NOUN
ejpam-5639	145	7	ψ	ψ	X
ejpam-5639	145	8	=	=	SYM
ejpam-5639	145	9	{	{	PUNCT
ejpam-5639	145	10	x	x	PROPN
ejpam-5639	145	11	∈	∈	PROPN
ejpam-5639	145	12	rn	rn	PROPN
ejpam-5639	145	13	:	:	PUNCT
ejpam-5639	145	14	f(x	f(x	PROPN
ejpam-5639	145	15	)	)	PUNCT
ejpam-5639	145	16	≤	≤	NUM
ejpam-5639	145	17	f(x1	f(x1	NOUN
ejpam-5639	145	18	)	)	PUNCT
ejpam-5639	145	19	}	}	PUNCT
ejpam-5639	145	20	is	be	AUX
ejpam-5639	145	21	bounded	bound	VERB
ejpam-5639	145	22	,	,	PUNCT
ejpam-5639	145	23	which	which	PRON
ejpam-5639	145	24	implies	imply	VERB
ejpam-5639	145	25	the	the	DET
ejpam-5639	145	26	existence	existence	NOUN
ejpam-5639	145	27	of	of	ADP
ejpam-5639	145	28	a	a	DET
ejpam-5639	145	29	nonnegative	nonnegative	ADJ
ejpam-5639	145	30	constant	constant	ADJ
ejpam-5639	145	31	,	,	PUNCT
ejpam-5639	145	32	ρ	ρ	PROPN
ejpam-5639	145	33	provided	provide	VERB
ejpam-5639	145	34	that	that	SCONJ
ejpam-5639	145	35	∥x∥	∥x∥	NOUN
ejpam-5639	145	36	≤	≤	NOUN
ejpam-5639	145	37	ρ,∀x	ρ,∀x	VERB
ejpam-5639	145	38	∈	∈	PROPN
ejpam-5639	145	39	ψ	ψ	PROPN
ejpam-5639	145	40	.	.	PUNCT
ejpam-5639	145	41	ii	ii	PROPN
ejpam-5639	145	42	.	.	PUNCT
ejpam-5639	146	1	in	in	ADP
ejpam-5639	146	2	several	several	ADJ
ejpam-5639	146	3	neighborhoods	neighborhood	NOUN
ejpam-5639	146	4	w	w	ADP
ejpam-5639	146	5	of	of	ADP
ejpam-5639	146	6	ψ	ψ	PROPN
ejpam-5639	146	7	,	,	PUNCT
ejpam-5639	146	8	f	f	PROPN
ejpam-5639	146	9	refers	refer	VERB
ejpam-5639	146	10	to	to	ADP
ejpam-5639	146	11	a	a	DET
ejpam-5639	146	12	differentiable	differentiable	NOUN
ejpam-5639	146	13	as	as	ADV
ejpam-5639	146	14	well	well	ADV
ejpam-5639	146	15	as	as	ADP
ejpam-5639	146	16	a	a	DET
ejpam-5639	146	17	continuous	continuous	ADJ
ejpam-5639	146	18	function	function	NOUN
ejpam-5639	146	19	.	.	PUNCT
ejpam-5639	147	1	moreover	moreover	ADV
ejpam-5639	147	2	,	,	PUNCT
ejpam-5639	147	3	it	it	PRON
ejpam-5639	147	4	has	have	VERB
ejpam-5639	147	5	a	a	DET
ejpam-5639	147	6	gradient	gradient	NOUN
ejpam-5639	147	7	that	that	PRON
ejpam-5639	147	8	is	be	AUX
ejpam-5639	147	9	lipchitz	lipchitz	NOUN
ejpam-5639	147	10	continuous	continuous	ADJ
ejpam-5639	147	11	.	.	PUNCT
ejpam-5639	148	1	this	this	PRON
ejpam-5639	148	2	implies	imply	VERB
ejpam-5639	148	3	that	that	SCONJ
ejpam-5639	148	4	,	,	PUNCT
ejpam-5639	148	5	for	for	ADP
ejpam-5639	148	6	any	any	DET
ejpam-5639	148	7	x	x	NOUN
ejpam-5639	148	8	,	,	PUNCT
ejpam-5639	148	9	y	y	PROPN
ejpam-5639	148	10	∈	∈	PROPN
ejpam-5639	148	11	w	w	PROPN
ejpam-5639	148	12	,	,	PUNCT
ejpam-5639	148	13	a	a	DET
ejpam-5639	148	14	constant	constant	ADJ
ejpam-5639	148	15	l	l	NOUN
ejpam-5639	148	16	>	>	X
ejpam-5639	148	17	0	0	NUM
ejpam-5639	148	18	exists	exist	VERB
ejpam-5639	148	19	given	give	VERB
ejpam-5639	148	20	that	that	DET
ejpam-5639	148	21	∥∇f(x)−∇f(y)∥	∥∇f(x)−∇f(y)∥	NOUN
ejpam-5639	148	22	≤	≤	NUM
ejpam-5639	148	23	l	l	NOUN
ejpam-5639	148	24	∥x−	∥x−	PROPN
ejpam-5639	148	25	y∥	y∥	VERB
ejpam-5639	148	26	.	.	PUNCT
ejpam-5639	149	1	this	this	DET
ejpam-5639	149	2	assumption	assumption	NOUN
ejpam-5639	149	3	suggests	suggest	VERB
ejpam-5639	149	4	the	the	DET
ejpam-5639	149	5	existence	existence	NOUN
ejpam-5639	149	6	of	of	ADP
ejpam-5639	149	7	a	a	DET
ejpam-5639	149	8	positive	positive	ADJ
ejpam-5639	149	9	constant	constant	ADJ
ejpam-5639	149	10	η	η	NOUN
ejpam-5639	149	11	given	give	VERB
ejpam-5639	149	12	that	that	SCONJ
ejpam-5639	149	13	∥∇f(u)∥	∥∇f(u)∥	NUM
ejpam-5639	149	14	≤	≤	NUM
ejpam-5639	149	15	η,∀η	η,∀η	DET
ejpam-5639	149	16	∈	∈	PROPN
ejpam-5639	149	17	w.	w.	NOUN
ejpam-5639	149	18	to	to	PART
ejpam-5639	149	19	establish	establish	VERB
ejpam-5639	149	20	the	the	DET
ejpam-5639	149	21	cg	cg	NOUN
ejpam-5639	149	22	method	method	NOUN
ejpam-5639	149	23	’s	’s	PART
ejpam-5639	149	24	convergence	convergence	NOUN
ejpam-5639	149	25	characteristics	characteristic	NOUN
ejpam-5639	149	26	with	with	ADP
ejpam-5639	149	27	multiple	multiple	ADJ
ejpam-5639	149	28	line	line	NOUN
ejpam-5639	149	29	searches	search	NOUN
ejpam-5639	149	30	,	,	PUNCT
ejpam-5639	149	31	which	which	PRON
ejpam-5639	149	32	include	include	VERB
ejpam-5639	149	33	swp	swp	NOUN
ejpam-5639	149	34	as	as	ADV
ejpam-5639	149	35	well	well	ADV
ejpam-5639	149	36	as	as	ADP
ejpam-5639	149	37	wwp	wwp	PROPN
ejpam-5639	149	38	line	line	NOUN
ejpam-5639	149	39	searches	search	NOUN
ejpam-5639	149	40	,	,	PUNCT
ejpam-5639	149	41	the	the	DET
ejpam-5639	149	42	following	follow	VERB
ejpam-5639	149	43	lemma	lemma	PROPN
ejpam-5639	149	44	,	,	PUNCT
ejpam-5639	149	45	introduced	introduce	VERB
ejpam-5639	149	46	by	by	ADP
ejpam-5639	149	47	zoutendijk	zoutendijk	X
ejpam-5639	149	48	[	[	X
ejpam-5639	149	49	26	26	NUM
ejpam-5639	149	50	]	]	PUNCT
ejpam-5639	149	51	,	,	PUNCT
ejpam-5639	149	52	is	be	AUX
ejpam-5639	149	53	typically	typically	ADV
ejpam-5639	149	54	utilized	utilize	VERB
ejpam-5639	149	55	.	.	PUNCT
ejpam-5639	150	1	lemma	lemma	PROPN
ejpam-5639	150	2	3.1	3.1	NUM
ejpam-5639	150	3	let	let	VERB
ejpam-5639	150	4	assumption	assumption	NOUN
ejpam-5639	150	5	1	1	NUM
ejpam-5639	150	6	to	to	PART
ejpam-5639	150	7	be	be	AUX
ejpam-5639	150	8	true	true	ADJ
ejpam-5639	150	9	.	.	PUNCT
ejpam-5639	151	1	we	we	PRON
ejpam-5639	151	2	now	now	ADV
ejpam-5639	151	3	take	take	VERB
ejpam-5639	151	4	into	into	ADP
ejpam-5639	151	5	consideration	consideration	NOUN
ejpam-5639	151	6	any	any	DET
ejpam-5639	151	7	form	form	NOUN
ejpam-5639	151	8	with	with	ADP
ejpam-5639	151	9	regard	regard	NOUN
ejpam-5639	151	10	to	to	ADP
ejpam-5639	151	11	eqn	eqn	PROPN
ejpam-5639	151	12	.	.	PUNCT
ejpam-5639	152	1	(	(	PUNCT
ejpam-5639	152	2	2),in	2),in	NUM
ejpam-5639	152	3	which	which	PRON
ejpam-5639	152	4	αk	αk	AUX
ejpam-5639	152	5	fulfills	fulfill	VERB
ejpam-5639	152	6	the	the	DET
ejpam-5639	152	7	wwp	wwp	PROPN
ejpam-5639	152	8	line	line	NOUN
ejpam-5639	152	9	search	search	NOUN
ejpam-5639	152	10	with	with	ADP
ejpam-5639	152	11	the	the	DET
ejpam-5639	152	12	dc	dc	PROPN
ejpam-5639	152	13	expressed	express	VERB
ejpam-5639	152	14	in	in	ADP
ejpam-5639	152	15	eqn	eqn	NOUN
ejpam-5639	152	16	.	.	PUNCT
ejpam-5639	153	1	(	(	PUNCT
ejpam-5639	153	2	8).therefore	8).therefore	NUM
ejpam-5639	153	3	,	,	PUNCT
ejpam-5639	153	4	the	the	DET
ejpam-5639	153	5	inequality	inequality	NOUN
ejpam-5639	153	6	given	give	VERB
ejpam-5639	153	7	below	below	ADP
ejpam-5639	153	8	holds	hold	NOUN
ejpam-5639	153	9	.	.	PUNCT
ejpam-5639	154	1	∞∑	∞∑	NUM
ejpam-5639	154	2	k=1	k=1	PUNCT
ejpam-5639	155	1	(	(	PUNCT
ejpam-5639	155	2	∇ft	∇ft	ADV
ejpam-5639	155	3	k	k	X
ejpam-5639	155	4	dk	dk	PROPN
ejpam-5639	155	5	)	)	PUNCT
ejpam-5639	155	6	2	2	NUM
ejpam-5639	155	7	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	155	8	<	<	X
ejpam-5639	155	9	∞.	∞.	PROPN
ejpam-5639	155	10	(	(	PUNCT
ejpam-5639	155	11	10	10	NUM
ejpam-5639	155	12	)	)	PUNCT
ejpam-5639	155	13	the	the	DET
ejpam-5639	155	14	theorem	theorem	NOUN
ejpam-5639	155	15	given	give	VERB
ejpam-5639	155	16	below	below	ADP
ejpam-5639	155	17	demonstrates	demonstrate	VERB
ejpam-5639	155	18	that	that	SCONJ
ejpam-5639	155	19	the	the	DET
ejpam-5639	155	20	new	new	ADJ
ejpam-5639	155	21	formula	formula	NOUN
ejpam-5639	155	22	meets	meet	VERB
ejpam-5639	155	23	the	the	DET
ejpam-5639	155	24	dc	dc	PROPN
ejpam-5639	155	25	(	(	PUNCT
ejpam-5639	155	26	8).note	8).note	NUM
ejpam-5639	155	27	that	that	SCONJ
ejpam-5639	155	28	the	the	DET
ejpam-5639	155	29	proof	proof	NOUN
ejpam-5639	155	30	is	be	AUX
ejpam-5639	155	31	analogous	analogous	ADJ
ejpam-5639	155	32	to	to	ADP
ejpam-5639	155	33	the	the	DET
ejpam-5639	155	34	one	one	NOUN
ejpam-5639	155	35	provided	provide	VERB
ejpam-5639	155	36	in	in	ADP
ejpam-5639	155	37	[	[	X
ejpam-5639	155	38	2	2	NUM
ejpam-5639	155	39	]	]	PUNCT
ejpam-5639	155	40	.	.	PUNCT
ejpam-5639	156	1	theorem	theorem	ADJ
ejpam-5639	156	2	3.1	3.1	NUM
ejpam-5639	156	3	assume	assume	VERB
ejpam-5639	156	4	the	the	DET
ejpam-5639	156	5	sequences	sequence	NOUN
ejpam-5639	156	6	{	{	PUNCT
ejpam-5639	156	7	xk	xk	ADJ
ejpam-5639	156	8	}	}	PUNCT
ejpam-5639	156	9	as	as	ADV
ejpam-5639	156	10	well	well	ADV
ejpam-5639	156	11	as	as	ADP
ejpam-5639	156	12	{	{	PUNCT
ejpam-5639	156	13	dk	dk	NOUN
ejpam-5639	156	14	}	}	PUNCT
ejpam-5639	156	15	be	be	AUX
ejpam-5639	156	16	generated	generate	VERB
ejpam-5639	156	17	by	by	ADP
ejpam-5639	156	18	the	the	DET
ejpam-5639	156	19	methods	method	NOUN
ejpam-5639	156	20	(	(	PUNCT
ejpam-5639	156	21	2	2	NUM
ejpam-5639	156	22	)	)	PUNCT
ejpam-5639	156	23	as	as	ADV
ejpam-5639	156	24	well	well	ADV
ejpam-5639	156	25	as	as	ADP
ejpam-5639	156	26	(	(	PUNCT
ejpam-5639	156	27	9	9	NUM
ejpam-5639	156	28	)	)	PUNCT
ejpam-5639	156	29	.	.	PUNCT
ejpam-5639	157	1	we	we	PRON
ejpam-5639	157	2	take	take	VERB
ejpam-5639	157	3	into	into	ADP
ejpam-5639	157	4	consideration	consideration	NOUN
ejpam-5639	157	5	the	the	DET
ejpam-5639	157	6	line	line	NOUN
ejpam-5639	157	7	search	search	NOUN
ejpam-5639	157	8	method	method	NOUN
ejpam-5639	157	9	derived	derive	VERB
ejpam-5639	157	10	from	from	ADP
ejpam-5639	157	11	eqns	eqns	PROPN
ejpam-5639	157	12	.	.	PUNCT
ejpam-5639	158	1	(	(	PUNCT
ejpam-5639	158	2	3	3	X
ejpam-5639	158	3	)	)	PUNCT
ejpam-5639	158	4	as	as	ADV
ejpam-5639	158	5	well	well	ADV
ejpam-5639	158	6	as	as	ADP
ejpam-5639	158	7	(	(	PUNCT
ejpam-5639	158	8	4	4	NUM
ejpam-5639	158	9	)	)	PUNCT
ejpam-5639	158	10	.	.	PUNCT
ejpam-5639	159	1	consequently	consequently	ADV
ejpam-5639	159	2	,	,	PUNCT
ejpam-5639	159	3	the	the	DET
ejpam-5639	159	4	sufficient	sufficient	ADJ
ejpam-5639	159	5	dc	dc	NOUN
ejpam-5639	159	6	specified	specify	VERB
ejpam-5639	159	7	in	in	ADP
ejpam-5639	159	8	eqn	eqn	NOUN
ejpam-5639	159	9	.	.	PUNCT
ejpam-5639	160	1	(	(	PUNCT
ejpam-5639	160	2	8)	8)	NUM
ejpam-5639	160	3	is	be	AUX
ejpam-5639	160	4	met	meet	VERB
ejpam-5639	160	5	.	.	PUNCT
ejpam-5639	161	1	proof	proof	NOUN
ejpam-5639	161	2	.	.	PUNCT
ejpam-5639	162	1	a.	a.	PROPN
ejpam-5639	162	2	alhawarat	alhawarat	PROPN
ejpam-5639	162	3	et	et	PROPN
ejpam-5639	162	4	al	al	PROPN
ejpam-5639	162	5	.	.	PUNCT
ejpam-5639	162	6	/	/	SYM
ejpam-5639	162	7	eur	eur	PROPN
ejpam-5639	162	8	.	.	PUNCT
ejpam-5639	163	1	j.	j.	PROPN
ejpam-5639	163	2	pure	pure	PROPN
ejpam-5639	163	3	appl	appl	PROPN
ejpam-5639	163	4	.	.	PROPN
ejpam-5639	163	5	math	math	PROPN
ejpam-5639	163	6	,	,	PUNCT
ejpam-5639	163	7	18	18	NUM
ejpam-5639	163	8	(	(	PUNCT
ejpam-5639	163	9	1	1	NUM
ejpam-5639	163	10	)	)	PUNCT
ejpam-5639	163	11	(	(	PUNCT
ejpam-5639	163	12	2025	2025	NUM
ejpam-5639	163	13	)	)	PUNCT
ejpam-5639	163	14	,	,	PUNCT
ejpam-5639	163	15	5639	5639	NUM
ejpam-5639	163	16	7	7	NUM
ejpam-5639	163	17	of	of	ADP
ejpam-5639	163	18	27	27	NUM
ejpam-5639	163	19	case	case	NOUN
ejpam-5639	163	20	1	1	NUM
ejpam-5639	163	21	|βk|	|βk|	PROPN
ejpam-5639	163	22	≤	≤	PUNCT
ejpam-5639	163	23	βfr	βfr	PROPN
ejpam-5639	164	1	k	k	NOUN
ejpam-5639	164	2	upon	upon	SCONJ
ejpam-5639	164	3	multiplying	multiply	VERB
ejpam-5639	164	4	eqn	eqn	NOUN
ejpam-5639	164	5	.	.	PUNCT
ejpam-5639	165	1	(	(	PUNCT
ejpam-5639	165	2	9	9	NUM
ejpam-5639	165	3	)	)	PUNCT
ejpam-5639	165	4	with	with	ADP
ejpam-5639	165	5	gtk	gtk	NOUN
ejpam-5639	165	6	gives	give	VERB
ejpam-5639	165	7	∇ft	∇ft	ADV
ejpam-5639	165	8	k	k	X
ejpam-5639	165	9	dk	dk	X
ejpam-5639	165	10	=	=	PROPN
ejpam-5639	165	11	−∥∇fk∥2	−∥∇fk∥2	PROPN
ejpam-5639	165	12	+	+	NUM
ejpam-5639	165	13	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	165	14	∥∇fk−1∥2	∥∇fk−1∥2	PUNCT
ejpam-5639	165	15	∇ft	∇ft	ADV
ejpam-5639	165	16	k	k	NOUN
ejpam-5639	165	17	dk−1	dk−1	PROPN
ejpam-5639	165	18	+	+	CCONJ
ejpam-5639	165	19	δ	δ	PROPN
ejpam-5639	165	20	∇ft	∇ft	NOUN
ejpam-5639	166	1	k	k	PROPN
ejpam-5639	166	2	sk−1	sk−1	INTJ
ejpam-5639	167	1	∥sk−1∥2	∥sk−1∥2	INTJ
ejpam-5639	167	2	∇ft	∇ft	ADV
ejpam-5639	168	1	k	k	PROPN
ejpam-5639	168	2	sk−1	sk−1	ADV
ejpam-5639	168	3	.	.	PUNCT
ejpam-5639	169	1	utilizing	utilize	VERB
ejpam-5639	169	2	a	a	DET
ejpam-5639	169	3	swp	swp	NOUN
ejpam-5639	169	4	line	line	NOUN
ejpam-5639	169	5	search	search	NOUN
ejpam-5639	169	6	,	,	PUNCT
ejpam-5639	169	7	we	we	PRON
ejpam-5639	169	8	now	now	ADV
ejpam-5639	169	9	have	have	VERB
ejpam-5639	169	10	(	(	PUNCT
ejpam-5639	169	11	δ	δ	NOUN
ejpam-5639	169	12	−	−	PROPN
ejpam-5639	169	13	1	1	NUM
ejpam-5639	169	14	)	)	PUNCT
ejpam-5639	170	1	+	+	CCONJ
ejpam-5639	170	2	σ	σ	PROPN
ejpam-5639	170	3	∇ft	∇ft	ADJ
ejpam-5639	170	4	k−1dk−1	k−1dk−1	NOUN
ejpam-5639	170	5	||∇fk−1||2	||∇fk−1||2	PROPN
ejpam-5639	170	6	≤	≤	NUM
ejpam-5639	170	7	∇ft	∇ft	ADV
ejpam-5639	171	1	k	k	PROPN
ejpam-5639	171	2	dk	dk	PROPN
ejpam-5639	171	3	||∇fk||2	||∇fk||2	PROPN
ejpam-5639	171	4	≤	≤	PROPN
ejpam-5639	171	5	(	(	PUNCT
ejpam-5639	171	6	δ	δ	PROPN
ejpam-5639	171	7	−	−	PROPN
ejpam-5639	172	1	1)−	1)−	PROPN
ejpam-5639	172	2	σ	σ	PROPN
ejpam-5639	172	3	∇ft	∇ft	PROPN
ejpam-5639	172	4	k−1dk−1	k−1dk−1	NOUN
ejpam-5639	172	5	||∇fk−1||2	||∇fk−1||2	PROPN
ejpam-5639	172	6	δ	δ	PROPN
ejpam-5639	172	7	−	−	PROPN
ejpam-5639	172	8	k−1∑	k−1∑	PROPN
ejpam-5639	172	9	j=0	j=0	PROPN
ejpam-5639	172	10	(	(	PUNCT
ejpam-5639	172	11	σ)j	σ)j	X
ejpam-5639	172	12	≤	≤	NOUN
ejpam-5639	172	13	∇ft	∇ft	ADV
ejpam-5639	173	1	k	k	PROPN
ejpam-5639	173	2	dk	dk	PROPN
ejpam-5639	173	3	||∇fk||2	||∇fk||2	PROPN
ejpam-5639	173	4	≤	≤	PROPN
ejpam-5639	173	5	δ	δ	PROPN
ejpam-5639	173	6	−	−	ADP
ejpam-5639	173	7	2	2	NUM
ejpam-5639	173	8	+	+	CCONJ
ejpam-5639	173	9	k−1∑	k−1∑	PROPN
ejpam-5639	173	10	j=0	j=0	PROPN
ejpam-5639	173	11	(	(	PUNCT
ejpam-5639	173	12	σ)j	σ)j	X
ejpam-5639	173	13	k−1∑	k−1∑	PROPN
ejpam-5639	173	14	j=0	j=0	PROPN
ejpam-5639	173	15	(	(	PUNCT
ejpam-5639	173	16	σ)j	σ)j	X
ejpam-5639	173	17	≤	≤	NUM
ejpam-5639	173	18	1−	1−	NUM
ejpam-5639	173	19	(	(	PUNCT
ejpam-5639	173	20	σ)k	σ)k	X
ejpam-5639	173	21	1−	1−	NUM
ejpam-5639	173	22	σ	σ	NOUN
ejpam-5639	173	23	,	,	PUNCT
ejpam-5639	173	24	we	we	PRON
ejpam-5639	173	25	can	can	AUX
ejpam-5639	173	26	now	now	ADV
ejpam-5639	173	27	write	write	VERB
ejpam-5639	173	28	δ	δ	PROPN
ejpam-5639	173	29	−	−	PROPN
ejpam-5639	173	30	1−	1−	NUM
ejpam-5639	173	31	(	(	PUNCT
ejpam-5639	173	32	σ)k	σ)k	X
ejpam-5639	173	33	1−	1−	NUM
ejpam-5639	173	34	σ	σ	NOUN
ejpam-5639	173	35	≤	≤	NOUN
ejpam-5639	173	36	∇ft	∇ft	ADV
ejpam-5639	174	1	k	k	X
ejpam-5639	174	2	dk	dk	PROPN
ejpam-5639	174	3	||∇fk||2	||∇fk||2	PROPN
ejpam-5639	174	4	≤	≤	PROPN
ejpam-5639	174	5	δ	δ	PROPN
ejpam-5639	174	6	−	−	ADP
ejpam-5639	174	7	2	2	NUM
ejpam-5639	174	8	+	+	SYM
ejpam-5639	174	9	1−	1−	NUM
ejpam-5639	174	10	(	(	PUNCT
ejpam-5639	174	11	σ)k	σ)k	X
ejpam-5639	174	12	1−	1−	NUM
ejpam-5639	174	13	σ	σ	NOUN
ejpam-5639	174	14	.	.	PUNCT
ejpam-5639	175	1	when	when	SCONJ
ejpam-5639	175	2	σ	σ	PROPN
ejpam-5639	175	3	≤	≤	PROPN
ejpam-5639	175	4	1	1	NUM
ejpam-5639	175	5	2	2	NUM
ejpam-5639	175	6	−	−	PROPN
ejpam-5639	175	7	δ	δ	PROPN
ejpam-5639	175	8	,	,	PUNCT
ejpam-5639	175	9	we	we	PRON
ejpam-5639	175	10	have	have	VERB
ejpam-5639	175	11	1−(σ)k	1−(σ)k	NUM
ejpam-5639	175	12	1−σ	1−σ	NUM
ejpam-5639	175	13	<	<	X
ejpam-5639	175	14	2−	2−	NUM
ejpam-5639	175	15	δ	δ	PROPN
ejpam-5639	175	16	.	.	PUNCT
ejpam-5639	175	17	suppose	suppose	VERB
ejpam-5639	175	18	c	c	NOUN
ejpam-5639	175	19	=	=	SYM
ejpam-5639	175	20	(	(	PUNCT
ejpam-5639	175	21	2−	2−	NUM
ejpam-5639	175	22	δ)−	δ)−	PROPN
ejpam-5639	175	23	1−(σ)k	1−(σ)k	NUM
ejpam-5639	175	24	1−σ	1−σ	NUM
ejpam-5639	175	25	.	.	PUNCT
ejpam-5639	176	1	then	then	ADV
ejpam-5639	176	2	,	,	PUNCT
ejpam-5639	176	3	c−	c−	PROPN
ejpam-5639	176	4	(	(	PUNCT
ejpam-5639	176	5	2−	2−	NUM
ejpam-5639	176	6	δ	δ	NOUN
ejpam-5639	176	7	)	)	PUNCT
ejpam-5639	176	8	≤	≤	PUNCT
ejpam-5639	176	9	∇ft	∇ft	ADV
ejpam-5639	176	10	k	k	X
ejpam-5639	176	11	dk	dk	PROPN
ejpam-5639	176	12	||∇fk||2	||∇fk||2	PROPN
ejpam-5639	176	13	≤	≤	PROPN
ejpam-5639	176	14	−c	−c	NOUN
ejpam-5639	176	15	∇ft	∇ft	PROPN
ejpam-5639	177	1	k	k	PROPN
ejpam-5639	177	2	dk	dk	PROPN
ejpam-5639	177	3	≤	≤	PROPN
ejpam-5639	177	4	−c||∇fk||2	−c||∇fk||2	PROPN
ejpam-5639	177	5	.	.	PUNCT
ejpam-5639	178	1	case	case	NOUN
ejpam-5639	178	2	2	2	NUM
ejpam-5639	178	3	βk	βk	VERB
ejpam-5639	178	4	>	>	X
ejpam-5639	178	5	βfr	βfr	PROPN
ejpam-5639	179	1	k	k	NOUN
ejpam-5639	179	2	∇ft	∇ft	PROPN
ejpam-5639	180	1	k	k	X
ejpam-5639	181	1	dk	dk	X
ejpam-5639	182	1	=	=	PUNCT
ejpam-5639	182	2	−||∇fk||2	−||∇fk||2	PROPN
ejpam-5639	182	3	−	−	PROPN
ejpam-5639	182	4	δ	δ	NOUN
ejpam-5639	182	5	∇ft	∇ft	PROPN
ejpam-5639	183	1	k	k	PROPN
ejpam-5639	183	2	pk−1	pk−1	INTJ
ejpam-5639	183	3	∥pk−1∥2	∥pk−1∥2	NOUN
ejpam-5639	183	4	∇ft	∇ft	PROPN
ejpam-5639	184	1	k	k	PROPN
ejpam-5639	184	2	pk−1	pk−1	PROPN
ejpam-5639	184	3	=	=	SYM
ejpam-5639	184	4	−||∇fk||2	−||∇fk||2	PROPN
ejpam-5639	184	5	−	−	PROPN
ejpam-5639	184	6	δ	δ	PROPN
ejpam-5639	184	7	∥∥∇f	∥∥∇f	PROPN
ejpam-5639	184	8	k	k	PROPN
ejpam-5639	184	9	pk−1	pk−1	PROPN
ejpam-5639	184	10	∥∥2	∥∥2	PROPN
ejpam-5639	184	11	∥pk−1∥2	∥pk−1∥2	ADV
ejpam-5639	184	12	≤	≤	PUNCT
ejpam-5639	184	13	−c||∇fk||2	−c||∇fk||2	PROPN
ejpam-5639	184	14	.	.	PUNCT
ejpam-5639	185	1	this	this	PRON
ejpam-5639	185	2	completes	complete	VERB
ejpam-5639	185	3	the	the	DET
ejpam-5639	185	4	proof	proof	NOUN
ejpam-5639	185	5	.	.	PUNCT
ejpam-5639	186	1	theorem	theorem	ADJ
ejpam-5639	186	2	3.2	3.2	NUM
ejpam-5639	186	3	suppose	suppose	VERB
ejpam-5639	186	4	assumption	assumption	NOUN
ejpam-5639	186	5	1	1	NUM
ejpam-5639	186	6	is	be	AUX
ejpam-5639	186	7	met	meet	VERB
ejpam-5639	186	8	.	.	PUNCT
ejpam-5639	187	1	additionally	additionally	ADV
ejpam-5639	187	2	,	,	PUNCT
ejpam-5639	187	3	presume	presume	VERB
ejpam-5639	187	4	that	that	SCONJ
ejpam-5639	187	5	sequences	sequence	NOUN
ejpam-5639	187	6	{	{	PUNCT
ejpam-5639	187	7	gk	gk	NOUN
ejpam-5639	187	8	}	}	PUNCT
ejpam-5639	187	9	as	as	ADV
ejpam-5639	187	10	well	well	ADV
ejpam-5639	187	11	as	as	ADP
ejpam-5639	187	12	{	{	PUNCT
ejpam-5639	187	13	dk	dk	NOUN
ejpam-5639	187	14	}	}	PUNCT
ejpam-5639	187	15	are	be	AUX
ejpam-5639	187	16	produced	produce	VERB
ejpam-5639	187	17	through	through	ADP
ejpam-5639	187	18	algorithm	algorithm	NOUN
ejpam-5639	187	19	1	1	NUM
ejpam-5639	187	20	,	,	PUNCT
ejpam-5639	187	21	in	in	ADP
ejpam-5639	187	22	which	which	PRON
ejpam-5639	187	23	αk	αk	ADP
ejpam-5639	187	24	is	be	AUX
ejpam-5639	187	25	gained	gain	VERB
ejpam-5639	187	26	from	from	ADP
ejpam-5639	187	27	eqns	eqns	PROPN
ejpam-5639	187	28	.	.	PUNCT
ejpam-5639	188	1	(	(	PUNCT
ejpam-5639	188	2	3	3	X
ejpam-5639	188	3	)	)	PUNCT
ejpam-5639	188	4	and	and	CCONJ
ejpam-5639	188	5	(	(	PUNCT
ejpam-5639	188	6	4	4	X
ejpam-5639	188	7	)	)	PUNCT
ejpam-5639	188	8	with	with	ADP
ejpam-5639	188	9	σ	σ	PROPN
ejpam-5639	188	10	≤	≤	NUM
ejpam-5639	188	11	1	1	NUM
ejpam-5639	188	12	2	2	NUM
ejpam-5639	188	13	−	−	PROPN
ejpam-5639	188	14	δ	δ	PROPN
ejpam-5639	188	15	.	.	PUNCT
ejpam-5639	189	1	we	we	PRON
ejpam-5639	189	2	now	now	ADV
ejpam-5639	189	3	have	have	VERB
ejpam-5639	189	4	that	that	SCONJ
ejpam-5639	189	5	lim	lim	PROPN
ejpam-5639	189	6	k→∞	k→∞	PROPN
ejpam-5639	189	7	inf	inf	PROPN
ejpam-5639	189	8	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	189	9	=	=	SYM
ejpam-5639	189	10	0	0	X
ejpam-5639	189	11	.	.	PUNCT
ejpam-5639	190	1	proof	proof	NOUN
ejpam-5639	190	2	.	.	PUNCT
ejpam-5639	191	1	case	case	NOUN
ejpam-5639	191	2	1	1	NUM
ejpam-5639	191	3	:	:	PUNCT
ejpam-5639	191	4	|βk|	|βk|	PROPN
ejpam-5639	191	5	≤	≤	PUNCT
ejpam-5639	191	6	βfr	βfr	PROPN
ejpam-5639	192	1	k	k	X
ejpam-5639	192	2	.	.	PUNCT
ejpam-5639	193	1	the	the	DET
ejpam-5639	193	2	theorem	theorem	NOUN
ejpam-5639	193	3	is	be	AUX
ejpam-5639	193	4	proved	prove	VERB
ejpam-5639	193	5	via	via	ADP
ejpam-5639	193	6	contradiction	contradiction	NOUN
ejpam-5639	193	7	.	.	PUNCT
ejpam-5639	194	1	let	let	VERB
ejpam-5639	194	2	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	194	3	≥	≥	PRON
ejpam-5639	194	4	ε	ε	VERB
ejpam-5639	194	5	for	for	ADP
ejpam-5639	194	6	all	all	DET
ejpam-5639	194	7	k	k	PROPN
ejpam-5639	194	8	≥	≥	PROPN
ejpam-5639	194	9	0	0	NUM
ejpam-5639	194	10	.	.	PUNCT
ejpam-5639	195	1	(	(	PUNCT
ejpam-5639	195	2	11	11	NUM
ejpam-5639	195	3	)	)	PUNCT
ejpam-5639	195	4	a.	a.	NOUN
ejpam-5639	195	5	alhawarat	alhawarat	NOUN
ejpam-5639	195	6	et	et	PROPN
ejpam-5639	195	7	al	al	PROPN
ejpam-5639	195	8	.	.	PUNCT
ejpam-5639	195	9	/	/	SYM
ejpam-5639	195	10	eur	eur	PROPN
ejpam-5639	195	11	.	.	PUNCT
ejpam-5639	196	1	j.	j.	PROPN
ejpam-5639	196	2	pure	pure	PROPN
ejpam-5639	196	3	appl	appl	PROPN
ejpam-5639	196	4	.	.	PROPN
ejpam-5639	196	5	math	math	PROPN
ejpam-5639	196	6	,	,	PUNCT
ejpam-5639	196	7	18	18	NUM
ejpam-5639	196	8	(	(	PUNCT
ejpam-5639	196	9	1	1	NUM
ejpam-5639	196	10	)	)	PUNCT
ejpam-5639	196	11	(	(	PUNCT
ejpam-5639	196	12	2025	2025	NUM
ejpam-5639	196	13	)	)	PUNCT
ejpam-5639	196	14	,	,	PUNCT
ejpam-5639	196	15	5639	5639	NUM
ejpam-5639	196	16	8	8	NUM
ejpam-5639	196	17	of	of	ADP
ejpam-5639	196	18	27	27	NUM
ejpam-5639	196	19	by	by	ADP
ejpam-5639	196	20	taking	take	VERB
ejpam-5639	196	21	square	square	NOUN
ejpam-5639	196	22	with	with	ADP
ejpam-5639	196	23	respect	respect	NOUN
ejpam-5639	196	24	to	to	ADP
ejpam-5639	196	25	both	both	DET
ejpam-5639	196	26	sides	side	NOUN
ejpam-5639	196	27	of	of	ADP
ejpam-5639	196	28	eqn	eqn	NOUN
ejpam-5639	196	29	.	.	PUNCT
ejpam-5639	197	1	(	(	PUNCT
ejpam-5639	197	2	6	6	NUM
ejpam-5639	197	3	)	)	PUNCT
ejpam-5639	197	4	,	,	PUNCT
ejpam-5639	197	5	we	we	PRON
ejpam-5639	197	6	obtain	obtain	VERB
ejpam-5639	197	7	∥dk∥2	∥dk∥2	X
ejpam-5639	198	1	=	=	PUNCT
ejpam-5639	198	2	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	199	1	−	−	NUM
ejpam-5639	199	2	2βk∇ft	2βk∇ft	NUM
ejpam-5639	200	1	k	k	PROPN
ejpam-5639	200	2	dk−1	dk−1	PROPN
ejpam-5639	200	3	+	+	CCONJ
ejpam-5639	200	4	β2	β2	NOUN
ejpam-5639	200	5	k	k	PROPN
ejpam-5639	200	6	∥dk−1∥2	∥dk−1∥2	PROPN
ejpam-5639	200	7	.	.	PUNCT
ejpam-5639	201	1	applying	apply	VERB
ejpam-5639	201	2	the	the	DET
ejpam-5639	201	3	formula	formula	NOUN
ejpam-5639	201	4	in	in	ADP
ejpam-5639	201	5	eqn	eqn	NOUN
ejpam-5639	201	6	.	.	PUNCT
ejpam-5639	202	1	(	(	PUNCT
ejpam-5639	202	2	9	9	X
ejpam-5639	202	3	)	)	PUNCT
ejpam-5639	202	4	yields	yield	NOUN
ejpam-5639	202	5	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	202	6	≤	≤	PROPN
ejpam-5639	202	7	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	202	8	−	−	PROPN
ejpam-5639	202	9	2	2	NUM
ejpam-5639	202	10	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	202	11	∥∇fk−1∥2	∥∇fk−1∥2	PUNCT
ejpam-5639	202	12	∇ft	∇ft	ADV
ejpam-5639	202	13	k	k	NOUN
ejpam-5639	202	14	dk−1	dk−1	PROPN
ejpam-5639	202	15	−	−	PROPN
ejpam-5639	202	16	2δ	2δ	NUM
ejpam-5639	203	1	∇ft	∇ft	ADV
ejpam-5639	203	2	k	k	PROPN
ejpam-5639	203	3	pk−1	pk−1	INTJ
ejpam-5639	203	4	∥pk−1∥2	∥pk−1∥2	NOUN
ejpam-5639	204	1	∇ft	∇ft	ADV
ejpam-5639	205	1	k	k	X
ejpam-5639	206	1	dk−1	dk−1	PROPN
ejpam-5639	207	1	+	+	CCONJ
ejpam-5639	208	1	∥∇fk∥4	∥∇fk∥4	NUM
ejpam-5639	208	2	∥∇fk−1∥4	∥∇fk−1∥4	PROPN
ejpam-5639	208	3	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-5639	208	4	+	+	CCONJ
ejpam-5639	208	5	δ2	δ2	VERB
ejpam-5639	208	6	(	(	PUNCT
ejpam-5639	208	7	∇ft	∇ft	NOUN
ejpam-5639	208	8	k	k	PROPN
ejpam-5639	208	9	sk−1	sk−1	PROPN
ejpam-5639	208	10	)	)	PUNCT
ejpam-5639	208	11	2	2	NUM
ejpam-5639	208	12	∥sk−1∥4	∥sk−1∥4	NOUN
ejpam-5639	208	13	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-5639	208	14	+	+	CCONJ
ejpam-5639	208	15	2δ	2δ	NUM
ejpam-5639	208	16	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	208	17	∥∇fk−1∥2	∥∇fk−1∥2	PROPN
ejpam-5639	208	18	|∇ft	|∇ft	X
ejpam-5639	208	19	k	k	NOUN
ejpam-5639	208	20	sk−1|	sk−1|	NOUN
ejpam-5639	208	21	∥sk−1∥2	∥sk−1∥2	VERB
ejpam-5639	208	22	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-5639	208	23	,	,	PUNCT
ejpam-5639	208	24	we	we	PRON
ejpam-5639	208	25	then	then	ADV
ejpam-5639	208	26	have	have	VERB
ejpam-5639	208	27	the	the	DET
ejpam-5639	208	28	equation	equation	NOUN
ejpam-5639	208	29	given	give	VERB
ejpam-5639	208	30	below	below	ADV
ejpam-5639	208	31	.	.	PUNCT
ejpam-5639	209	1	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	209	2	≤	≤	NUM
ejpam-5639	209	3	(	(	PUNCT
ejpam-5639	209	4	1	1	NUM
ejpam-5639	209	5	+	+	CCONJ
ejpam-5639	209	6	δ)2	δ)2	PROPN
ejpam-5639	209	7	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	209	8	+	+	CCONJ
ejpam-5639	209	9	∥∇fk∥4	∥∇fk∥4	NUM
ejpam-5639	209	10	∥∇fk−1∥4	∥∇fk−1∥4	PROPN
ejpam-5639	209	11	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-5639	209	12	+	+	CCONJ
ejpam-5639	209	13	(	(	PUNCT
ejpam-5639	209	14	2	2	NUM
ejpam-5639	209	15	+	+	NUM
ejpam-5639	209	16	2δ	2δ	NOUN
ejpam-5639	209	17	)	)	PUNCT
ejpam-5639	209	18	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	209	19	∥∇fk−1∥2	∥∇fk−1∥2	ADP
ejpam-5639	209	20	∣∣∇ft	∣∣∇ft	X
ejpam-5639	209	21	k	k	PROPN
ejpam-5639	209	22	dk−1	dk−1	PROPN
ejpam-5639	209	23	∣∣	∣∣	PROPN
ejpam-5639	209	24	.	.	PUNCT
ejpam-5639	210	1	dividing	divide	VERB
ejpam-5639	210	2	both	both	DET
ejpam-5639	210	3	sides	side	NOUN
ejpam-5639	210	4	of	of	ADP
ejpam-5639	210	5	the	the	DET
ejpam-5639	210	6	equation	equation	NOUN
ejpam-5639	210	7	by	by	ADP
ejpam-5639	210	8	∥∇fk∥4	∥∇fk∥4	PROPN
ejpam-5639	210	9	and	and	CCONJ
ejpam-5639	210	10	employing	employ	VERB
ejpam-5639	210	11	theorem	theorem	ADJ
ejpam-5639	210	12	3.1	3.1	NUM
ejpam-5639	210	13	yields	yield	NOUN
ejpam-5639	210	14	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	210	15	∥∇fk∥4	∥∇fk∥4	PROPN
ejpam-5639	210	16	≤	≤	PUNCT
ejpam-5639	210	17	∥dk−1∥2	∥dk−1∥2	NOUN
ejpam-5639	210	18	∥∇fk−1∥4	∥∇fk−1∥4	PROPN
ejpam-5639	210	19	+	+	PROPN
ejpam-5639	210	20	σ	σ	PROPN
ejpam-5639	210	21	c(2	c(2	PROPN
ejpam-5639	210	22	+	+	CCONJ
ejpam-5639	210	23	2δ	2δ	NOUN
ejpam-5639	210	24	)	)	PUNCT
ejpam-5639	211	1	+	+	CCONJ
ejpam-5639	211	2	(	(	PUNCT
ejpam-5639	211	3	1	1	NUM
ejpam-5639	211	4	+	+	CCONJ
ejpam-5639	211	5	δ	δ	PROPN
ejpam-5639	211	6	)	)	PUNCT
ejpam-5639	211	7	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	211	8	2	2	NUM
ejpam-5639	211	9	repeating	repeat	VERB
ejpam-5639	211	10	similar	similar	ADJ
ejpam-5639	211	11	process	process	NOUN
ejpam-5639	211	12	and	and	CCONJ
ejpam-5639	211	13	utilising	utilise	VERB
ejpam-5639	211	14	the	the	DET
ejpam-5639	211	15	relation	relation	NOUN
ejpam-5639	211	16	1	1	NUM
ejpam-5639	211	17	∥∇f0∥	∥∇f0∥	NOUN
ejpam-5639	211	18	=	=	SYM
ejpam-5639	211	19	1	1	NUM
ejpam-5639	211	20	∥d0∥	∥d0∥	PROPN
ejpam-5639	211	21	gives	give	VERB
ejpam-5639	211	22	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	211	23	∥∇fk∥4	∥∇fk∥4	PROPN
ejpam-5639	211	24	≤	≤	NOUN
ejpam-5639	211	25	(	(	PUNCT
ejpam-5639	211	26	σ	σ	PROPN
ejpam-5639	211	27	c(2	c(2	PROPN
ejpam-5639	211	28	+	+	CCONJ
ejpam-5639	211	29	2δ	2δ	NOUN
ejpam-5639	211	30	)	)	PUNCT
ejpam-5639	212	1	+	+	CCONJ
ejpam-5639	212	2	(	(	PUNCT
ejpam-5639	212	3	1	1	NUM
ejpam-5639	212	4	+	+	CCONJ
ejpam-5639	212	5	δ)2	δ)2	NOUN
ejpam-5639	212	6	)	)	PUNCT
ejpam-5639	212	7	k∑	k∑	VERB
ejpam-5639	213	1	i=0	i=0	PROPN
ejpam-5639	213	2	1	1	NUM
ejpam-5639	213	3	∥∇f	∥∇f	NOUN
ejpam-5639	213	4	i∥2	i∥2	NOUN
ejpam-5639	213	5	.	.	PUNCT
ejpam-5639	214	1	now	now	ADV
ejpam-5639	214	2	,	,	PUNCT
ejpam-5639	214	3	by	by	ADP
ejpam-5639	214	4	using	use	VERB
ejpam-5639	214	5	eqn	eqn	NOUN
ejpam-5639	214	6	.	.	PUNCT
ejpam-5639	215	1	(	(	PUNCT
ejpam-5639	215	2	3	3	NUM
ejpam-5639	215	3	)	)	PUNCT
ejpam-5639	215	4	,	,	PUNCT
ejpam-5639	215	5	we	we	PRON
ejpam-5639	215	6	obtain	obtain	VERB
ejpam-5639	215	7	∥∇fk∥4	∥∇fk∥4	PROPN
ejpam-5639	215	8	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	215	9	≥	≥	NOUN
ejpam-5639	215	10	ε2	ε2	NOUN
ejpam-5639	215	11	(	(	PUNCT
ejpam-5639	215	12	σ	σ	PROPN
ejpam-5639	215	13	c(2	c(2	PROPN
ejpam-5639	215	14	+	+	PROPN
ejpam-5639	215	15	2	2	NUM
ejpam-5639	215	16	t	t	NOUN
ejpam-5639	215	17	)	)	PUNCT
ejpam-5639	216	1	+	+	CCONJ
ejpam-5639	216	2	(	(	PUNCT
ejpam-5639	216	3	1	1	NUM
ejpam-5639	216	4	+	+	NUM
ejpam-5639	216	5	t)2	t)2	PROPN
ejpam-5639	216	6	)	)	PUNCT
ejpam-5639	216	7	k	k	X
ejpam-5639	216	8	.	.	PUNCT
ejpam-5639	217	1	thus	thus	ADV
ejpam-5639	217	2	,	,	PUNCT
ejpam-5639	217	3	∞∑	∞∑	PROPN
ejpam-5639	217	4	k=0	k=0	PROPN
ejpam-5639	217	5	∥∇fk∥4	∥∇fk∥4	PROPN
ejpam-5639	217	6	∥dk∥2	∥dk∥2	PUNCT
ejpam-5639	218	1	=	=	SYM
ejpam-5639	218	2	∞	∞	PROPN
ejpam-5639	218	3	,	,	PUNCT
ejpam-5639	218	4	contradicting	contradict	VERB
ejpam-5639	218	5	eqn	eqn	NOUN
ejpam-5639	218	6	.	.	PUNCT
ejpam-5639	219	1	(	(	PUNCT
ejpam-5639	219	2	10	10	NUM
ejpam-5639	219	3	)	)	PUNCT
ejpam-5639	219	4	.	.	PUNCT
ejpam-5639	220	1	therefore	therefore	ADV
ejpam-5639	220	2	,	,	PUNCT
ejpam-5639	220	3	lim	lim	PROPN
ejpam-5639	220	4	k→∞	k→∞	PROPN
ejpam-5639	220	5	inf	inf	PROPN
ejpam-5639	220	6	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	220	7	=	=	SYM
ejpam-5639	220	8	0	0	NUM
ejpam-5639	220	9	,	,	PUNCT
ejpam-5639	220	10	completing	complete	VERB
ejpam-5639	220	11	the	the	DET
ejpam-5639	220	12	proof	proof	NOUN
ejpam-5639	220	13	.	.	PUNCT
ejpam-5639	221	1	case	case	NOUN
ejpam-5639	221	2	2	2	NUM
ejpam-5639	221	3	:	:	PUNCT
ejpam-5639	221	4	βk	βk	VERB
ejpam-5639	221	5	>	>	X
ejpam-5639	221	6	βfr	βfr	PROPN
ejpam-5639	222	1	k	k	X
ejpam-5639	222	2	similar	similar	ADJ
ejpam-5639	222	3	to	to	ADP
ejpam-5639	222	4	case	case	NOUN
ejpam-5639	222	5	1	1	NUM
ejpam-5639	222	6	,	,	PUNCT
ejpam-5639	222	7	let	let	VERB
ejpam-5639	222	8	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	222	9	≥	≥	PRON
ejpam-5639	222	10	ε	ε	VERB
ejpam-5639	222	11	for	for	ADP
ejpam-5639	222	12	all	all	DET
ejpam-5639	222	13	k	k	PROPN
ejpam-5639	222	14	≥	≥	PROPN
ejpam-5639	222	15	0	0	NUM
ejpam-5639	222	16	.	.	PUNCT
ejpam-5639	223	1	from	from	ADP
ejpam-5639	223	2	eqn	eqn	PROPN
ejpam-5639	223	3	.	.	PUNCT
ejpam-5639	224	1	(	(	PUNCT
ejpam-5639	224	2	3	3	NUM
ejpam-5639	224	3	)	)	PUNCT
ejpam-5639	224	4	,	,	PUNCT
ejpam-5639	224	5	we	we	PRON
ejpam-5639	224	6	have	have	VERB
ejpam-5639	224	7	∥dk∥	∥dk∥	ADJ
ejpam-5639	224	8	=	=	SYM
ejpam-5639	225	1	∥∥∥∥−∇fk	∥∥∥∥−∇fk	INTJ
ejpam-5639	225	2	−	−	PROPN
ejpam-5639	225	3	δ	δ	NOUN
ejpam-5639	225	4	∇ft	∇ft	VERB
ejpam-5639	226	1	k	k	PROPN
ejpam-5639	226	2	sk−1	sk−1	ADJ
ejpam-5639	227	1	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	227	2	sk−1	sk−1	PROPN
ejpam-5639	227	3	∥∥∥∥	∥∥∥∥	PROPN
ejpam-5639	227	4	≤	≤	NOUN
ejpam-5639	227	5	(	(	PUNCT
ejpam-5639	227	6	1	1	NUM
ejpam-5639	227	7	+	+	NUM
ejpam-5639	227	8	δ	δ	PROPN
ejpam-5639	227	9	)	)	PUNCT
ejpam-5639	227	10	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	227	11	≤	≤	ADV
ejpam-5639	227	12	1	1	NUM
ejpam-5639	228	1	+	+	NUM
ejpam-5639	228	2	η	η	PROPN
ejpam-5639	228	3	=	=	SYM
ejpam-5639	228	4	ε1	ε1	PROPN
ejpam-5639	228	5	,	,	PUNCT
ejpam-5639	228	6	where	where	SCONJ
ejpam-5639	228	7	ε1	ε1	PROPN
ejpam-5639	228	8	is	be	AUX
ejpam-5639	228	9	some	some	DET
ejpam-5639	228	10	positive	positive	ADJ
ejpam-5639	228	11	constant	constant	ADJ
ejpam-5639	228	12	,	,	PUNCT
ejpam-5639	228	13	yielding	yield	VERB
ejpam-5639	228	14	a.	a.	NOUN
ejpam-5639	228	15	alhawarat	alhawarat	NOUN
ejpam-5639	228	16	et	et	PROPN
ejpam-5639	228	17	al	al	PROPN
ejpam-5639	228	18	.	.	PUNCT
ejpam-5639	228	19	/	/	SYM
ejpam-5639	228	20	eur	eur	PROPN
ejpam-5639	228	21	.	.	PUNCT
ejpam-5639	229	1	j.	j.	PROPN
ejpam-5639	229	2	pure	pure	PROPN
ejpam-5639	229	3	appl	appl	PROPN
ejpam-5639	229	4	.	.	PROPN
ejpam-5639	229	5	math	math	PROPN
ejpam-5639	229	6	,	,	PUNCT
ejpam-5639	229	7	18	18	NUM
ejpam-5639	229	8	(	(	PUNCT
ejpam-5639	229	9	1	1	NUM
ejpam-5639	229	10	)	)	PUNCT
ejpam-5639	229	11	(	(	PUNCT
ejpam-5639	229	12	2025	2025	NUM
ejpam-5639	229	13	)	)	PUNCT
ejpam-5639	229	14	,	,	PUNCT
ejpam-5639	229	15	5639	5639	NUM
ejpam-5639	229	16	9	9	NUM
ejpam-5639	229	17	of	of	ADP
ejpam-5639	229	18	27	27	NUM
ejpam-5639	229	19	∞∑	∞∑	NOUN
ejpam-5639	229	20	k=1	k=1	X
ejpam-5639	229	21	∥∇fk∥4	∥∇fk∥4	NUM
ejpam-5639	229	22	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	229	23	≥	≥	NOUN
ejpam-5639	230	1	∞∑	∞∑	NUM
ejpam-5639	230	2	k=1	k=1	ADP
ejpam-5639	230	3	ε4	ε4	NOUN
ejpam-5639	230	4	ε21	ε21	NOUN
ejpam-5639	230	5	=	=	SYM
ejpam-5639	230	6	∞	∞	PROPN
ejpam-5639	230	7	,	,	PUNCT
ejpam-5639	230	8	which	which	PRON
ejpam-5639	230	9	contradicts	contradict	VERB
ejpam-5639	230	10	eqn	eqn	NOUN
ejpam-5639	230	11	.	.	PUNCT
ejpam-5639	231	1	(	(	PUNCT
ejpam-5639	231	2	10	10	NUM
ejpam-5639	231	3	)	)	PUNCT
ejpam-5639	231	4	.	.	PUNCT
ejpam-5639	232	1	thus	thus	ADV
ejpam-5639	232	2	,	,	PUNCT
ejpam-5639	232	3	in	in	ADP
ejpam-5639	232	4	all	all	DET
ejpam-5639	232	5	cases	case	NOUN
ejpam-5639	232	6	,	,	PUNCT
ejpam-5639	232	7	we	we	PRON
ejpam-5639	232	8	have	have	VERB
ejpam-5639	232	9	lim	lim	PROPN
ejpam-5639	232	10	k→∞	k→∞	PROPN
ejpam-5639	232	11	inf	inf	PROPN
ejpam-5639	232	12	∥∇fk∥	∥∇fk∥	PROPN
ejpam-5639	232	13	=	=	PROPN
ejpam-5639	232	14	0	0	NUM
ejpam-5639	232	15	which	which	PRON
ejpam-5639	232	16	completes	complete	VERB
ejpam-5639	232	17	the	the	DET
ejpam-5639	232	18	proof	proof	NOUN
ejpam-5639	232	19	.	.	PUNCT
ejpam-5639	233	1	4	4	X
ejpam-5639	233	2	.	.	NUM
ejpam-5639	233	3	proposed	propose	VERB
ejpam-5639	233	4	cg	cg	NOUN
ejpam-5639	233	5	method	method	NOUN
ejpam-5639	233	6	that	that	PRON
ejpam-5639	233	7	is	be	AUX
ejpam-5639	233	8	related	relate	VERB
ejpam-5639	233	9	to	to	ADP
ejpam-5639	233	10	βhs	βhs	VERB
ejpam-5639	233	11	k	k	PROPN
ejpam-5639	233	12	or	or	CCONJ
ejpam-5639	233	13	βprp	βprp	NOUN
ejpam-5639	233	14	k	k	PROPN
ejpam-5639	233	15	even	even	ADV
ejpam-5639	233	16	thoughβhs	thoughβhs	PROPN
ejpam-5639	233	17	k	k	PROPN
ejpam-5639	233	18	and	and	CCONJ
ejpam-5639	233	19	βprp	βprp	PROPN
ejpam-5639	233	20	k	k	PROPN
ejpam-5639	233	21	are	be	AUX
ejpam-5639	233	22	efficient	efficient	ADJ
ejpam-5639	233	23	cg	cg	NOUN
ejpam-5639	233	24	methods	method	NOUN
ejpam-5639	233	25	while	while	SCONJ
ejpam-5639	233	26	βhs	βhs	NOUN
ejpam-5639	233	27	k	k	PROPN
ejpam-5639	233	28	inherits	inherit	VERB
ejpam-5639	233	29	the	the	DET
ejpam-5639	233	30	conjugacy	conjugacy	ADJ
ejpam-5639	233	31	condition	condition	NOUN
ejpam-5639	233	32	,	,	PUNCT
ejpam-5639	233	33	both	both	PRON
ejpam-5639	233	34	of	of	ADP
ejpam-5639	233	35	them	they	PRON
ejpam-5639	233	36	can	can	AUX
ejpam-5639	233	37	not	not	PART
ejpam-5639	233	38	satisfy	satisfy	VERB
ejpam-5639	233	39	the	the	DET
ejpam-5639	233	40	global	global	ADJ
ejpam-5639	233	41	convergence	convergence	NOUN
ejpam-5639	233	42	and	and	CCONJ
ejpam-5639	233	43	the	the	DET
ejpam-5639	233	44	descent	descent	NOUN
ejpam-5639	233	45	properties	property	NOUN
ejpam-5639	233	46	.	.	PUNCT
ejpam-5639	234	1	both	both	PRON
ejpam-5639	234	2	of	of	ADP
ejpam-5639	234	3	these	these	DET
ejpam-5639	234	4	issues	issue	NOUN
ejpam-5639	234	5	are	be	AUX
ejpam-5639	234	6	considered	consider	VERB
ejpam-5639	234	7	open	open	ADJ
ejpam-5639	234	8	problems	problem	NOUN
ejpam-5639	234	9	.	.	PUNCT
ejpam-5639	235	1	to	to	PART
ejpam-5639	235	2	address	address	VERB
ejpam-5639	235	3	these	these	DET
ejpam-5639	235	4	difficulties	difficulty	NOUN
ejpam-5639	235	5	,	,	PUNCT
ejpam-5639	235	6	we	we	PRON
ejpam-5639	235	7	construct	construct	VERB
ejpam-5639	235	8	the	the	DET
ejpam-5639	235	9	search	search	NOUN
ejpam-5639	235	10	direction	direction	NOUN
ejpam-5639	235	11	given	give	VERB
ejpam-5639	235	12	below	below	ADP
ejpam-5639	235	13	relying	rely	VERB
ejpam-5639	235	14	on	on	ADP
ejpam-5639	235	15	the	the	DET
ejpam-5639	235	16	approaches	approach	NOUN
ejpam-5639	235	17	from	from	ADP
ejpam-5639	235	18	[	[	X
ejpam-5639	235	19	18	18	NUM
ejpam-5639	235	20	]	]	PUNCT
ejpam-5639	235	21	and	and	CCONJ
ejpam-5639	235	22	[	[	X
ejpam-5639	235	23	2	2	NUM
ejpam-5639	235	24	]	]	PUNCT
ejpam-5639	235	25	.	.	PUNCT
ejpam-5639	236	1	d∗	d∗	PROPN
ejpam-5639	236	2	k	k	PROPN
ejpam-5639	236	3	=	=	X
ejpam-5639	236	4			X
ejpam-5639	236	5	−∇fk	−∇fk	NOUN
ejpam-5639	236	6	,	,	PUNCT
ejpam-5639	236	7	k	k	PROPN
ejpam-5639	236	8	=	=	SYM
ejpam-5639	236	9	1	1	NUM
ejpam-5639	236	10	,	,	PUNCT
ejpam-5639	236	11	−∇fk	−∇fk	NOUN
ejpam-5639	236	12	+	+	CCONJ
ejpam-5639	236	13	(	(	PUNCT
ejpam-5639	236	14	βhs	βhs	PROPN
ejpam-5639	236	15	k	k	PROPN
ejpam-5639	236	16	or	or	CCONJ
ejpam-5639	237	1	βprp	βprp	ADJ
ejpam-5639	237	2	k	k	NOUN
ejpam-5639	237	3	)	)	PUNCT
ejpam-5639	237	4	dk−1	dk−1	PROPN
ejpam-5639	237	5	+	+	NUM
ejpam-5639	237	6	δ	δ	PROPN
ejpam-5639	237	7	∇ft	∇ft	NOUN
ejpam-5639	238	1	k	k	PROPN
ejpam-5639	238	2	sk−1	sk−1	PROPN
ejpam-5639	238	3	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	239	1	sk−1	sk−1	PROPN
ejpam-5639	239	2	,	,	PUNCT
ejpam-5639	239	3	k	k	PROPN
ejpam-5639	239	4	≥	≥	NUM
ejpam-5639	239	5	2	2	NUM
ejpam-5639	239	6	,	,	PUNCT
ejpam-5639	239	7	if	if	SCONJ
ejpam-5639	239	8	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	239	9	>	>	X
ejpam-5639	239	10	∣∣∇ft	∣∣∇ft	PROPN
ejpam-5639	239	11	k	k	X
ejpam-5639	239	12	∇fk−1	∇fk−1	NUM
ejpam-5639	239	13	∣∣	∣∣	X
ejpam-5639	239	14	−∇fk	−∇fk	X
ejpam-5639	239	15	−	−	NOUN
ejpam-5639	239	16	µk	µk	NOUN
ejpam-5639	239	17	∇ft	∇ft	NOUN
ejpam-5639	240	1	k	k	PROPN
ejpam-5639	240	2	sk−1	sk−1	PROPN
ejpam-5639	241	1	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	241	2	sk−1	sk−1	PROPN
ejpam-5639	241	3	.	.	PUNCT
ejpam-5639	242	1	elsewhere	elsewhere	ADV
ejpam-5639	242	2	(	(	PUNCT
ejpam-5639	242	3	12	12	NUM
ejpam-5639	242	4	)	)	PUNCT
ejpam-5639	242	5	as	as	ADP
ejpam-5639	242	6	a	a	DET
ejpam-5639	242	7	special	special	ADJ
ejpam-5639	242	8	case	case	NOUN
ejpam-5639	242	9	,	,	PUNCT
ejpam-5639	242	10	we	we	PRON
ejpam-5639	242	11	employ	employ	VERB
ejpam-5639	242	12	βhs	βhs	NOUN
ejpam-5639	242	13	k	k	PROPN
ejpam-5639	242	14	and	and	CCONJ
ejpam-5639	242	15	the	the	DET
ejpam-5639	242	16	condition	condition	NOUN
ejpam-5639	242	17	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	242	18	>	>	PUNCT
ejpam-5639	242	19	∣∣∇ft	∣∣∇ft	PROPN
ejpam-5639	242	20	k	k	X
ejpam-5639	242	21	∇fk−1	∇fk−1	NUM
ejpam-5639	242	22	∣∣	∣∣	X
ejpam-5639	242	23	in	in	ADP
ejpam-5639	242	24	eqn	eqn	NOUN
ejpam-5639	242	25	.	.	PUNCT
ejpam-5639	243	1	(	(	PUNCT
ejpam-5639	243	2	4	4	NUM
ejpam-5639	243	3	)	)	PUNCT
ejpam-5639	243	4	as	as	SCONJ
ejpam-5639	243	5	follows	follow	VERB
ejpam-5639	243	6	:	:	PUNCT
ejpam-5639	243	7	dhs+δ	dhs+δ	PROPN
ejpam-5639	243	8	k	k	X
ejpam-5639	243	9	=	=	PUNCT
ejpam-5639	243	10			X
ejpam-5639	243	11	−∇fk	−∇fk	NOUN
ejpam-5639	243	12	,	,	PUNCT
ejpam-5639	243	13	k	k	PROPN
ejpam-5639	243	14	=	=	SYM
ejpam-5639	243	15	1	1	NUM
ejpam-5639	243	16	,	,	PUNCT
ejpam-5639	243	17	−∇fk	−∇fk	NOUN
ejpam-5639	243	18	+	+	CCONJ
ejpam-5639	244	1	(	(	PUNCT
ejpam-5639	244	2	∇ft	∇ft	ADV
ejpam-5639	244	3	k	k	PROPN
ejpam-5639	244	4	∇fk−∇ft	∇fk−∇ft	PROPN
ejpam-5639	244	5	k	k	X
ejpam-5639	244	6	∇fk−1	∇fk−1	NUM
ejpam-5639	244	7	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	244	8	)	)	PUNCT
ejpam-5639	244	9	dk−1	dk−1	PROPN
ejpam-5639	244	10	+	+	NUM
ejpam-5639	244	11	δ	δ	PROPN
ejpam-5639	244	12	∇ft	∇ft	NOUN
ejpam-5639	245	1	k	k	PROPN
ejpam-5639	245	2	sk−1	sk−1	PROPN
ejpam-5639	245	3	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	246	1	sk−1	sk−1	PROPN
ejpam-5639	246	2	,	,	PUNCT
ejpam-5639	246	3	k	k	PROPN
ejpam-5639	246	4	≥	≥	NUM
ejpam-5639	246	5	2	2	NUM
ejpam-5639	246	6	,	,	PUNCT
ejpam-5639	246	7	if	if	SCONJ
ejpam-5639	246	8	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	246	9	>	>	X
ejpam-5639	246	10	∥∇ft	∥∇ft	NUM
ejpam-5639	246	11	k	k	X
ejpam-5639	247	1	∇fk∥	∇fk∥	PROPN
ejpam-5639	247	2	,	,	PUNCT
ejpam-5639	247	3	−∇fk	−∇fk	ADJ
ejpam-5639	247	4	−	−	NOUN
ejpam-5639	247	5	µk	µk	INTJ
ejpam-5639	247	6	∇ft	∇ft	NOUN
ejpam-5639	248	1	k	k	PROPN
ejpam-5639	248	2	sk−1	sk−1	PROPN
ejpam-5639	248	3	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	249	1	sk−1	sk−1	PROPN
ejpam-5639	249	2	,	,	PUNCT
ejpam-5639	249	3	elsewhere	elsewhere	ADV
ejpam-5639	249	4	.	.	PUNCT
ejpam-5639	250	1	(	(	PUNCT
ejpam-5639	250	2	13	13	X
ejpam-5639	250	3	)	)	PUNCT
ejpam-5639	250	4	eqn	eqn	NOUN
ejpam-5639	250	5	.	.	PUNCT
ejpam-5639	251	1	(	(	PUNCT
ejpam-5639	251	2	4	4	X
ejpam-5639	251	3	)	)	PUNCT
ejpam-5639	251	4	possesses	possess	VERB
ejpam-5639	251	5	the	the	DET
ejpam-5639	251	6	descent	descent	NOUN
ejpam-5639	251	7	property	property	NOUN
ejpam-5639	251	8	as	as	ADV
ejpam-5639	251	9	well	well	ADV
ejpam-5639	251	10	as	as	ADP
ejpam-5639	251	11	convergence	convergence	NOUN
ejpam-5639	251	12	analysis	analysis	NOUN
ejpam-5639	251	13	.	.	PUNCT
ejpam-5639	252	1	on	on	ADP
ejpam-5639	252	2	the	the	DET
ejpam-5639	252	3	other	other	ADJ
ejpam-5639	252	4	hand	hand	NOUN
ejpam-5639	252	5	,	,	PUNCT
ejpam-5639	252	6	the	the	DET
ejpam-5639	252	7	numerical	numerical	ADJ
ejpam-5639	252	8	results	result	NOUN
ejpam-5639	252	9	show	show	VERB
ejpam-5639	252	10	that	that	SCONJ
ejpam-5639	252	11	eqn	eqn	VERB
ejpam-5639	252	12	.	.	PUNCT
ejpam-5639	253	1	(	(	PUNCT
ejpam-5639	253	2	4	4	X
ejpam-5639	253	3	)	)	PUNCT
ejpam-5639	253	4	outperforms	outperform	VERB
ejpam-5639	253	5	dl+	dl+	NOUN
ejpam-5639	253	6	and	and	CCONJ
ejpam-5639	253	7	cg	cg	NOUN
ejpam-5639	253	8	-	-	PUNCT
ejpam-5639	253	9	descent	descent	NOUN
ejpam-5639	253	10	6.8	6.8	NUM
ejpam-5639	253	11	.	.	PUNCT
ejpam-5639	254	1	theorem	theorem	VERB
ejpam-5639	254	2	3.3let	3.3let	NUM
ejpam-5639	254	3	the	the	DET
ejpam-5639	254	4	sequences	sequence	NOUN
ejpam-5639	254	5	{	{	PUNCT
ejpam-5639	254	6	xk	xk	ADJ
ejpam-5639	254	7	}	}	PUNCT
ejpam-5639	254	8	as	as	ADV
ejpam-5639	254	9	well	well	ADV
ejpam-5639	254	10	as	as	ADP
ejpam-5639	254	11	{	{	PUNCT
ejpam-5639	254	12	dk	dk	NOUN
ejpam-5639	254	13	}	}	PUNCT
ejpam-5639	254	14	be	be	AUX
ejpam-5639	254	15	generated	generate	VERB
ejpam-5639	254	16	by	by	ADP
ejpam-5639	254	17	the	the	DET
ejpam-5639	254	18	eqns	eqns	NOUN
ejpam-5639	254	19	.	.	PUNCT
ejpam-5639	255	1	(	(	PUNCT
ejpam-5639	255	2	2	2	X
ejpam-5639	255	3	)	)	PUNCT
ejpam-5639	255	4	and	and	CCONJ
ejpam-5639	255	5	(	(	PUNCT
ejpam-5639	255	6	4).we	4).we	NOUN
ejpam-5639	255	7	take	take	VERB
ejpam-5639	255	8	into	into	ADP
ejpam-5639	255	9	consideration	consideration	NOUN
ejpam-5639	255	10	the	the	DET
ejpam-5639	255	11	line	line	NOUN
ejpam-5639	255	12	search	search	NOUN
ejpam-5639	255	13	method	method	NOUN
ejpam-5639	255	14	derived	derive	VERB
ejpam-5639	255	15	utilizing	utilizing	NOUN
ejpam-5639	255	16	eqns	eqns	NOUN
ejpam-5639	255	17	.	.	PUNCT
ejpam-5639	256	1	(	(	PUNCT
ejpam-5639	256	2	3	3	X
ejpam-5639	256	3	)	)	PUNCT
ejpam-5639	256	4	as	as	ADV
ejpam-5639	256	5	well	well	ADV
ejpam-5639	256	6	as	as	ADP
ejpam-5639	256	7	(	(	PUNCT
ejpam-5639	256	8	4	4	NUM
ejpam-5639	256	9	)	)	PUNCT
ejpam-5639	256	10	.	.	PUNCT
ejpam-5639	257	1	consequently	consequently	ADV
ejpam-5639	257	2	,	,	PUNCT
ejpam-5639	257	3	the	the	DET
ejpam-5639	257	4	sufficient	sufficient	ADJ
ejpam-5639	257	5	dc	dc	NOUN
ejpam-5639	257	6	(	(	PUNCT
ejpam-5639	257	7	8)	8)	NUM
ejpam-5639	257	8	is	be	AUX
ejpam-5639	257	9	met	meet	VERB
ejpam-5639	257	10	withσ	withσ	NOUN
ejpam-5639	257	11	<	<	X
ejpam-5639	257	12	1	1	NUM
ejpam-5639	257	13	3and	3and	NUM
ejpam-5639	257	14	δ	δ	PROPN
ejpam-5639	257	15	≤	≤	NOUN
ejpam-5639	257	16	1−3σ	1−3σ	NUM
ejpam-5639	257	17	1−σ	1−σ	NUM
ejpam-5639	257	18	.	.	PUNCT
ejpam-5639	258	1	proof	proof	NOUN
ejpam-5639	258	2	.	.	PUNCT
ejpam-5639	259	1	case	case	NOUN
ejpam-5639	259	2	1	1	NUM
ejpam-5639	259	3	:	:	PUNCT
ejpam-5639	259	4	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	259	5	>	>	PUNCT
ejpam-5639	259	6	∣∣∇ft	∣∣∇ft	PROPN
ejpam-5639	259	7	k	k	X
ejpam-5639	259	8	∇fk−1	∇fk−1	PROPN
ejpam-5639	259	9	∣∣	∣∣	X
ejpam-5639	259	10	upon	upon	SCONJ
ejpam-5639	259	11	multiplying	multiply	VERB
ejpam-5639	259	12	eqn	eqn	NOUN
ejpam-5639	259	13	.	.	PUNCT
ejpam-5639	260	1	(	(	PUNCT
ejpam-5639	260	2	4	4	NUM
ejpam-5639	260	3	)	)	PUNCT
ejpam-5639	260	4	with	with	ADP
ejpam-5639	260	5	∇ft	∇ft	PROPN
ejpam-5639	260	6	k	k	PROPN
ejpam-5639	260	7	gives	give	VERB
ejpam-5639	260	8	∇ft	∇ft	ADV
ejpam-5639	261	1	k	k	X
ejpam-5639	261	2	dk	dk	X
ejpam-5639	261	3	=	=	PROPN
ejpam-5639	261	4	−∥∇fk∥2	−∥∇fk∥2	PROPN
ejpam-5639	261	5	+	+	CCONJ
ejpam-5639	261	6	∇ft	∇ft	PROPN
ejpam-5639	261	7	k	k	X
ejpam-5639	261	8	∇fk	∇fk	NOUN
ejpam-5639	261	9	−∇ft	−∇ft	NOUN
ejpam-5639	261	10	k	k	X
ejpam-5639	261	11	∇fk−1	∇fk−1	NUM
ejpam-5639	261	12	dtk−1yk−1	dtk−1yk−1	X
ejpam-5639	261	13	∇ft	∇ft	VERB
ejpam-5639	261	14	k	k	PROPN
ejpam-5639	262	1	dk−1	dk−1	PROPN
ejpam-5639	262	2	+	+	CCONJ
ejpam-5639	262	3	δ	δ	PROPN
ejpam-5639	262	4	∇ft	∇ft	NOUN
ejpam-5639	263	1	k	k	PROPN
ejpam-5639	263	2	sk−1	sk−1	INTJ
ejpam-5639	264	1	∥sk−1∥2	∥sk−1∥2	INTJ
ejpam-5639	264	2	∇ft	∇ft	ADV
ejpam-5639	265	1	k	k	PROPN
ejpam-5639	265	2	sk−1	sk−1	PROPN
ejpam-5639	265	3	.	.	PUNCT
ejpam-5639	266	1	a.	a.	PROPN
ejpam-5639	266	2	alhawarat	alhawarat	PROPN
ejpam-5639	266	3	et	et	PROPN
ejpam-5639	266	4	al	al	PROPN
ejpam-5639	266	5	.	.	PUNCT
ejpam-5639	266	6	/	/	SYM
ejpam-5639	266	7	eur	eur	PROPN
ejpam-5639	266	8	.	.	PUNCT
ejpam-5639	267	1	j.	j.	PROPN
ejpam-5639	267	2	pure	pure	PROPN
ejpam-5639	267	3	appl	appl	PROPN
ejpam-5639	267	4	.	.	PROPN
ejpam-5639	267	5	math	math	PROPN
ejpam-5639	267	6	,	,	PUNCT
ejpam-5639	267	7	18	18	NUM
ejpam-5639	267	8	(	(	PUNCT
ejpam-5639	267	9	1	1	NUM
ejpam-5639	267	10	)	)	PUNCT
ejpam-5639	267	11	(	(	PUNCT
ejpam-5639	267	12	2025	2025	NUM
ejpam-5639	267	13	)	)	PUNCT
ejpam-5639	267	14	,	,	PUNCT
ejpam-5639	267	15	5639	5639	NUM
ejpam-5639	267	16	10	10	NUM
ejpam-5639	267	17	of	of	ADP
ejpam-5639	267	18	27	27	NUM
ejpam-5639	267	19	by	by	ADP
ejpam-5639	267	20	using	use	VERB
ejpam-5639	267	21	the	the	DET
ejpam-5639	267	22	condition	condition	NOUN
ejpam-5639	267	23	in	in	ADP
ejpam-5639	267	24	eqn	eqn	NOUN
ejpam-5639	267	25	.	.	PUNCT
ejpam-5639	268	1	(	(	PUNCT
ejpam-5639	268	2	4	4	NUM
ejpam-5639	268	3	)	)	PUNCT
ejpam-5639	268	4	,	,	PUNCT
ejpam-5639	268	5	we	we	PRON
ejpam-5639	268	6	obtain	obtain	VERB
ejpam-5639	268	7	∇ft	∇ft	ADV
ejpam-5639	269	1	k	k	PROPN
ejpam-5639	269	2	dk	dk	PRON
ejpam-5639	269	3	≤	≤	X
ejpam-5639	269	4	(	(	PUNCT
ejpam-5639	269	5	δ	δ	NOUN
ejpam-5639	269	6	−	−	PROPN
ejpam-5639	269	7	1	1	NUM
ejpam-5639	269	8	)	)	PUNCT
ejpam-5639	269	9	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	269	10	+	+	CCONJ
ejpam-5639	269	11	2	2	NUM
ejpam-5639	269	12	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	269	13	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	269	14	∇ft	∇ft	NUM
ejpam-5639	269	15	k	k	PROPN
ejpam-5639	269	16	dk−1	dk−1	PROPN
ejpam-5639	269	17	.	.	PUNCT
ejpam-5639	270	1	utilizing	utilize	VERB
ejpam-5639	270	2	the	the	DET
ejpam-5639	270	3	swp	swp	NOUN
ejpam-5639	270	4	line	line	NOUN
ejpam-5639	270	5	search	search	NOUN
ejpam-5639	270	6	,	,	PUNCT
ejpam-5639	270	7	we	we	PRON
ejpam-5639	270	8	now	now	ADV
ejpam-5639	270	9	have	have	VERB
ejpam-5639	270	10	∇ft	∇ft	NOUN
ejpam-5639	271	1	k	k	X
ejpam-5639	271	2	dk	dk	PROPN
ejpam-5639	271	3	||∇fk||2	||∇fk||2	PROPN
ejpam-5639	271	4	≤	≤	PROPN
ejpam-5639	271	5	(	(	PUNCT
ejpam-5639	271	6	δ	δ	PROPN
ejpam-5639	271	7	−	−	PROPN
ejpam-5639	272	1	1)−	1)−	PROPN
ejpam-5639	272	2	2σ	2σ	NUM
ejpam-5639	272	3	∇ft	∇ft	ADV
ejpam-5639	272	4	k−1dk−1	k−1dk−1	NOUN
ejpam-5639	272	5	(	(	PUNCT
ejpam-5639	272	6	σ	σ	PROPN
ejpam-5639	272	7	−	−	PROPN
ejpam-5639	272	8	1)∇ft	1)∇ft	NUM
ejpam-5639	272	9	k−1dk−1	k−1dk−1	NOUN
ejpam-5639	272	10	=	=	SYM
ejpam-5639	272	11	(	(	PUNCT
ejpam-5639	272	12	δ	δ	NOUN
ejpam-5639	272	13	−	−	PROPN
ejpam-5639	272	14	1	1	NUM
ejpam-5639	272	15	)	)	PUNCT
ejpam-5639	273	1	+	+	NUM
ejpam-5639	273	2	2σ	2σ	NUM
ejpam-5639	273	3	(	(	PUNCT
ejpam-5639	273	4	1−	1−	NUM
ejpam-5639	273	5	σ	σ	NUM
ejpam-5639	273	6	)	)	PUNCT
ejpam-5639	273	7	.	.	PUNCT
ejpam-5639	274	1	when	when	SCONJ
ejpam-5639	274	2	σ	σ	X
ejpam-5639	274	3	<	<	X
ejpam-5639	274	4	1	1	NUM
ejpam-5639	274	5	3and	3and	NUM
ejpam-5639	274	6	δ	δ	PROPN
ejpam-5639	274	7	≤	≤	NOUN
ejpam-5639	274	8	1−3σ	1−3σ	NUM
ejpam-5639	274	9	1−σ	1−σ	NUM
ejpam-5639	274	10	,	,	PUNCT
ejpam-5639	274	11	we	we	PRON
ejpam-5639	274	12	have	have	VERB
ejpam-5639	274	13	∇ft	∇ft	ADV
ejpam-5639	275	1	k	k	X
ejpam-5639	275	2	dk	dk	X
ejpam-5639	275	3	<	<	X
ejpam-5639	275	4	0	0	NUM
ejpam-5639	275	5	.	.	PUNCT
ejpam-5639	276	1	this	this	PRON
ejpam-5639	276	2	completes	complete	VERB
ejpam-5639	276	3	the	the	DET
ejpam-5639	276	4	proof	proof	NOUN
ejpam-5639	276	5	.	.	PUNCT
ejpam-5639	277	1	case	case	NOUN
ejpam-5639	277	2	2	2	NUM
ejpam-5639	277	3	:	:	PUNCT
ejpam-5639	277	4	∥∇fk∥2	∥∇fk∥2	PROPN
ejpam-5639	277	5	<	<	X
ejpam-5639	277	6	∣∣∇ft	∣∣∇ft	PROPN
ejpam-5639	277	7	k	k	X
ejpam-5639	277	8	∇fk−1	∇fk−1	PROPN
ejpam-5639	277	9	∣∣	∣∣	NUM
ejpam-5639	277	10	we	we	PRON
ejpam-5639	277	11	have	have	VERB
ejpam-5639	277	12	dk	dk	NOUN
ejpam-5639	277	13	=	=	PUNCT
ejpam-5639	277	14	−∇f	−∇f	NOUN
ejpam-5639	278	1	k	k	INTJ
ejpam-5639	278	2	−	−	NOUN
ejpam-5639	279	1	µk	µk	INTJ
ejpam-5639	279	2	∇ft	∇ft	NOUN
ejpam-5639	280	1	k	k	PROPN
ejpam-5639	280	2	sk−1	sk−1	ADJ
ejpam-5639	281	1	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	281	2	sk−1	sk−1	PROPN
ejpam-5639	281	3	multiply	multiply	VERB
ejpam-5639	281	4	the	the	DET
ejpam-5639	281	5	equation	equation	NOUN
ejpam-5639	281	6	by	by	ADP
ejpam-5639	281	7	∇ft	∇ft	PROPN
ejpam-5639	281	8	k	k	PROPN
ejpam-5639	281	9	,	,	PUNCT
ejpam-5639	281	10	we	we	PRON
ejpam-5639	281	11	obtain	obtain	VERB
ejpam-5639	281	12	∇ft	∇ft	ADV
ejpam-5639	282	1	k	k	PROPN
ejpam-5639	282	2	dk	dk	PROPN
ejpam-5639	282	3	=	=	SYM
ejpam-5639	282	4	−∥∇fk∥2	−∥∇fk∥2	PROPN
ejpam-5639	282	5	−	−	NOUN
ejpam-5639	283	1	µk	µk	NOUN
ejpam-5639	283	2	∇ft	∇ft	NOUN
ejpam-5639	284	1	k	k	PROPN
ejpam-5639	284	2	sk−1	sk−1	INTJ
ejpam-5639	285	1	∥sk−1∥2	∥sk−1∥2	INTJ
ejpam-5639	285	2	∇ft	∇ft	ADV
ejpam-5639	286	1	k	k	PROPN
ejpam-5639	286	2	sk−1	sk−1	PROPN
ejpam-5639	287	1	=	=	SYM
ejpam-5639	287	2	−∥∇fk∥2	−∥∇fk∥2	PROPN
ejpam-5639	287	3	−	−	NOUN
ejpam-5639	287	4	µk	µk	NOUN
ejpam-5639	287	5	−	−	PROPN
ejpam-5639	287	6	∥∥∇ft	∥∥∇ft	NUM
ejpam-5639	287	7	k	k	PROPN
ejpam-5639	288	1	sk−1	sk−1	PROPN
ejpam-5639	288	2	∥∥2	∥∥2	PROPN
ejpam-5639	288	3	∥sk−1∥2	∥sk−1∥2	NOUN
ejpam-5639	288	4	<	<	X
ejpam-5639	288	5	0	0	NUM
ejpam-5639	288	6	.	.	PUNCT
ejpam-5639	289	1	thus	thus	ADV
ejpam-5639	289	2	,	,	PUNCT
ejpam-5639	289	3	in	in	ADP
ejpam-5639	289	4	both	both	DET
ejpam-5639	289	5	cases	case	NOUN
ejpam-5639	289	6	,	,	PUNCT
ejpam-5639	289	7	the	the	DET
ejpam-5639	289	8	dc	dc	PROPN
ejpam-5639	289	9	is	be	AUX
ejpam-5639	289	10	satisfied	satisfied	ADJ
ejpam-5639	289	11	.	.	PUNCT
ejpam-5639	290	1	gilbert	gilbert	NOUN
ejpam-5639	290	2	and	and	CCONJ
ejpam-5639	290	3	nocedal	nocedal	ADJ
ejpam-5639	290	4	[	[	X
ejpam-5639	290	5	11	11	NUM
ejpam-5639	290	6	]	]	PUNCT
ejpam-5639	290	7	named	name	VERB
ejpam-5639	290	8	a	a	DET
ejpam-5639	290	9	property	property	NOUN
ejpam-5639	290	10	called	call	VERB
ejpam-5639	290	11	property	property	NOUN
ejpam-5639	290	12	*	*	PUNCT
ejpam-5639	290	13	to	to	PART
ejpam-5639	290	14	perform	perform	VERB
ejpam-5639	290	15	a	a	DET
ejpam-5639	290	16	specialized	specialized	ADJ
ejpam-5639	290	17	function	function	NOUN
ejpam-5639	290	18	in	in	ADP
ejpam-5639	290	19	research	research	NOUN
ejpam-5639	290	20	on	on	ADP
ejpam-5639	290	21	cg	cg	NOUN
ejpam-5639	290	22	formulas	formula	NOUN
ejpam-5639	290	23	associated	associate	VERB
ejpam-5639	290	24	with	with	ADP
ejpam-5639	290	25	the	the	DET
ejpam-5639	290	26	prp	prp	NOUN
ejpam-5639	290	27	method	method	NOUN
ejpam-5639	290	28	given	give	VERB
ejpam-5639	290	29	below	below	ADV
ejpam-5639	290	30	.	.	PUNCT
ejpam-5639	291	1	property	property	NOUN
ejpam-5639	291	2	*	*	PUNCT
ejpam-5639	292	1	we	we	PRON
ejpam-5639	292	2	take	take	VERB
ejpam-5639	292	3	into	into	ADP
ejpam-5639	292	4	consideration	consideration	NOUN
ejpam-5639	292	5	a	a	DET
ejpam-5639	292	6	method	method	NOUN
ejpam-5639	292	7	of	of	ADP
ejpam-5639	292	8	the	the	DET
ejpam-5639	292	9	form	form	NOUN
ejpam-5639	292	10	(	(	PUNCT
ejpam-5639	292	11	2	2	NUM
ejpam-5639	292	12	)	)	PUNCT
ejpam-5639	292	13	as	as	ADV
ejpam-5639	292	14	well	well	ADV
ejpam-5639	292	15	as	as	ADP
ejpam-5639	292	16	(	(	PUNCT
ejpam-5639	292	17	6	6	NUM
ejpam-5639	292	18	)	)	PUNCT
ejpam-5639	292	19	and	and	CCONJ
ejpam-5639	292	20	let	let	VERB
ejpam-5639	292	21	0	0	NUM
ejpam-5639	292	22	<	<	X
ejpam-5639	292	23	γ	γ	PROPN
ejpam-5639	292	24	≤	≤	NUM
ejpam-5639	292	25	∥gk∥	∥gk∥	ADJ
ejpam-5639	292	26	≤	≤	NOUN
ejpam-5639	292	27	γ̄.	γ̄.	PUNCT
ejpam-5639	292	28	the	the	DET
ejpam-5639	292	29	method	method	NOUN
ejpam-5639	292	30	has	have	VERB
ejpam-5639	292	31	property	property	NOUN
ejpam-5639	292	32	*	*	PUNCT
ejpam-5639	292	33	provided	provide	VERB
ejpam-5639	292	34	that	that	SCONJ
ejpam-5639	292	35	∃	∃	PROPN
ejpam-5639	292	36	a	a	DET
ejpam-5639	292	37	constant	constant	ADJ
ejpam-5639	292	38	b	b	X
ejpam-5639	292	39	>	>	SYM
ejpam-5639	292	40	1	1	NUM
ejpam-5639	292	41	as	as	ADV
ejpam-5639	292	42	well	well	ADV
ejpam-5639	292	43	as	as	ADP
ejpam-5639	292	44	λ	λ	X
ejpam-5639	292	45	>	>	X
ejpam-5639	292	46	0	0	NUM
ejpam-5639	292	47	.	.	PUNCT
ejpam-5639	292	48	note	note	VERB
ejpam-5639	292	49	that	that	SCONJ
ejpam-5639	292	50	∀	∀	PUNCT
ejpam-5639	293	1	k	k	X
ejpam-5639	293	2	≥	≥	NUM
ejpam-5639	293	3	1	1	NUM
ejpam-5639	293	4	,	,	PUNCT
ejpam-5639	293	5	we	we	PRON
ejpam-5639	293	6	have	have	VERB
ejpam-5639	293	7	|βk|	|βk|	PROPN
ejpam-5639	293	8	≤	≤	NUM
ejpam-5639	293	9	b.	b.	PROPN
ejpam-5639	294	1	moreover	moreover	ADV
ejpam-5639	294	2	,	,	PUNCT
ejpam-5639	294	3	if	if	SCONJ
ejpam-5639	294	4	∥xk	∥xk	PROPN
ejpam-5639	294	5	−	−	PROPN
ejpam-5639	294	6	xk−1∥	xk−1∥	PROPN
ejpam-5639	294	7	≤	≤	NUM
ejpam-5639	294	8	λ	λ	PROPN
ejpam-5639	294	9	,	,	PUNCT
ejpam-5639	294	10	this	this	PRON
ejpam-5639	294	11	implies	imply	VERB
ejpam-5639	294	12	that	that	SCONJ
ejpam-5639	294	13	|βk|	|βk|	PROPN
ejpam-5639	294	14	≤	≤	NOUN
ejpam-5639	294	15	1	1	NUM
ejpam-5639	294	16	2b	2b	NUM
ejpam-5639	294	17	.	.	PUNCT
ejpam-5639	295	1	lemma	lemma	PROPN
ejpam-5639	295	2	3.2	3.2	NUM
ejpam-5639	295	3	let	let	VERB
ejpam-5639	295	4	assumption	assumption	NOUN
ejpam-5639	295	5	1	1	NUM
ejpam-5639	295	6	is	be	AUX
ejpam-5639	295	7	met	meet	VERB
ejpam-5639	295	8	.	.	PUNCT
ejpam-5639	296	1	we	we	PRON
ejpam-5639	296	2	take	take	VERB
ejpam-5639	296	3	into	into	ADP
ejpam-5639	296	4	consideration	consideration	NOUN
ejpam-5639	296	5	any	any	DET
ejpam-5639	296	6	form	form	NOUN
ejpam-5639	296	7	of	of	ADP
ejpam-5639	296	8	eqns	eqns	PROPN
ejpam-5639	296	9	.	.	PUNCT
ejpam-5639	297	1	(	(	PUNCT
ejpam-5639	297	2	2	2	X
ejpam-5639	297	3	)	)	PUNCT
ejpam-5639	297	4	as	as	ADV
ejpam-5639	297	5	well	well	ADV
ejpam-5639	297	6	as	as	ADP
ejpam-5639	297	7	(	(	PUNCT
ejpam-5639	297	8	3	3	NUM
ejpam-5639	297	9	)	)	PUNCT
ejpam-5639	297	10	.	.	PUNCT
ejpam-5639	298	1	then	then	ADV
ejpam-5639	298	2	,	,	PUNCT
ejpam-5639	298	3	βhs	βhs	NOUN
ejpam-5639	298	4	k	k	PROPN
ejpam-5639	298	5	meets	meet	VERB
ejpam-5639	298	6	property	property	NOUN
ejpam-5639	298	7	*	*	PUNCT
ejpam-5639	298	8	and	and	CCONJ
ejpam-5639	298	9	the	the	DET
ejpam-5639	298	10	proof	proof	NOUN
ejpam-5639	298	11	is	be	AUX
ejpam-5639	298	12	similar	similar	ADJ
ejpam-5639	298	13	to	to	ADP
ejpam-5639	298	14	the	the	DET
ejpam-5639	298	15	one	one	NOUN
ejpam-5639	298	16	given	give	VERB
ejpam-5639	298	17	in	in	ADP
ejpam-5639	298	18	[	[	PUNCT
ejpam-5639	298	19	11	11	NUM
ejpam-5639	298	20	]	]	PUNCT
ejpam-5639	298	21	.	.	PUNCT
ejpam-5639	299	1	proof	proof	NOUN
ejpam-5639	299	2	.	.	PUNCT
ejpam-5639	300	1	let	let	VERB
ejpam-5639	300	2	b	b	NOUN
ejpam-5639	300	3	=	=	SYM
ejpam-5639	300	4	2γ̄2	2γ̄2	NUM
ejpam-5639	300	5	c((1−δ)−σ)γ2	c((1−δ)−σ)γ2	NOUN
ejpam-5639	300	6	and	and	CCONJ
ejpam-5639	300	7	λ	λ	NOUN
ejpam-5639	300	8	=	=	SYM
ejpam-5639	300	9	c((1−δ)−σ)γ2	c((1−δ)−σ)γ2	VERB
ejpam-5639	300	10	2(lλγ̄)b	2(lλγ̄)b	PROPN
ejpam-5639	300	11	.	.	PUNCT
ejpam-5639	301	1	following	follow	VERB
ejpam-5639	301	2	from	from	ADP
ejpam-5639	301	3	here	here	ADV
ejpam-5639	301	4	,	,	PUNCT
ejpam-5639	301	5	utilizing	utilize	VERB
ejpam-5639	301	6	βhs	βhs	NOUN
ejpam-5639	301	7	k	k	PROPN
ejpam-5639	301	8	and	and	CCONJ
ejpam-5639	301	9	swp	swp	PROPN
ejpam-5639	301	10	line	line	NOUN
ejpam-5639	301	11	search	search	NOUN
ejpam-5639	301	12	,	,	PUNCT
ejpam-5639	301	13	we	we	PRON
ejpam-5639	301	14	get	get	VERB
ejpam-5639	301	15	∣∣	∣∣	NUM
ejpam-5639	301	16	βhs	βhs	NOUN
ejpam-5639	301	17	k	k	PROPN
ejpam-5639	301	18	∣∣	∣∣	PROPN
ejpam-5639	301	19	≤	≤	PROPN
ejpam-5639	301	20	∣∣∣∣∣gtk	∣∣∣∣∣gtk	PROPN
ejpam-5639	301	21	(	(	PUNCT
ejpam-5639	301	22	gk	gk	PROPN
ejpam-5639	301	23	−	−	PROPN
ejpam-5639	301	24	gk−1	gk−1	PROPN
ejpam-5639	301	25	)	)	PUNCT
ejpam-5639	301	26	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	301	27	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5639	301	28	≤	≤	PUNCT
ejpam-5639	301	29	∥gk∥2	∥gk∥2	PUNCT
ejpam-5639	302	1	+	+	CCONJ
ejpam-5639	302	2	∣∣gtk	∣∣gtk	NUM
ejpam-5639	302	3	gk−1	gk−1	PROPN
ejpam-5639	302	4	∣∣	∣∣	VERB
ejpam-5639	302	5	c((1−	c((1−	PUNCT
ejpam-5639	302	6	δ)−	δ)−	PROPN
ejpam-5639	302	7	σ	σ	PROPN
ejpam-5639	302	8	)	)	PUNCT
ejpam-5639	302	9	∥gk∥2	∥gk∥2	PROPN
ejpam-5639	302	10	≤	≤	NUM
ejpam-5639	302	11	2γ̄2	2γ̄2	NUM
ejpam-5639	302	12	c((1−	c((1−	ADJ
ejpam-5639	302	13	δ)−	δ)−	PROPN
ejpam-5639	302	14	σ)γ2	σ)γ2	PROPN
ejpam-5639	302	15	=	=	SYM
ejpam-5639	302	16	b.	b.	PROPN
ejpam-5639	302	17	a.	a.	PROPN
ejpam-5639	302	18	alhawarat	alhawarat	PROPN
ejpam-5639	302	19	et	et	PROPN
ejpam-5639	302	20	al	al	PROPN
ejpam-5639	302	21	.	.	PUNCT
ejpam-5639	302	22	/	/	SYM
ejpam-5639	302	23	eur	eur	PROPN
ejpam-5639	302	24	.	.	PUNCT
ejpam-5639	303	1	j.	j.	PROPN
ejpam-5639	303	2	pure	pure	PROPN
ejpam-5639	303	3	appl	appl	PROPN
ejpam-5639	303	4	.	.	PROPN
ejpam-5639	303	5	math	math	PROPN
ejpam-5639	303	6	,	,	PUNCT
ejpam-5639	303	7	18	18	NUM
ejpam-5639	303	8	(	(	PUNCT
ejpam-5639	303	9	1	1	NUM
ejpam-5639	303	10	)	)	PUNCT
ejpam-5639	303	11	(	(	PUNCT
ejpam-5639	303	12	2025	2025	NUM
ejpam-5639	303	13	)	)	PUNCT
ejpam-5639	303	14	,	,	PUNCT
ejpam-5639	303	15	5639	5639	NUM
ejpam-5639	303	16	11	11	NUM
ejpam-5639	303	17	of	of	ADP
ejpam-5639	303	18	27	27	NUM
ejpam-5639	303	19	provided	provide	VERB
ejpam-5639	303	20	that	that	SCONJ
ejpam-5639	303	21	∥xk+1	∥xk+1	ADP
ejpam-5639	303	22	−	−	PROPN
ejpam-5639	303	23	xk∥	xk∥	PROPN
ejpam-5639	303	24	≤	≤	ADJ
ejpam-5639	303	25	λ	λ	PROPN
ejpam-5639	303	26	satisfies	satisfie	NOUN
ejpam-5639	303	27	assumption	assumption	NOUN
ejpam-5639	303	28	1	1	NUM
ejpam-5639	303	29	,	,	PUNCT
ejpam-5639	303	30	we	we	PRON
ejpam-5639	303	31	then	then	ADV
ejpam-5639	303	32	have∣∣βhs	have∣∣βhs	VERB
ejpam-5639	303	33	k	k	X
ejpam-5639	303	34	∣∣	∣∣	X
ejpam-5639	303	35	≤	≤	NOUN
ejpam-5639	303	36	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5639	303	37	∥∥gtk	∥∥gtk	X
ejpam-5639	303	38	∥∥	∥∥	X
ejpam-5639	303	39	(	(	PUNCT
ejpam-5639	303	40	∥gk	∥gk	NUM
ejpam-5639	303	41	−	−	PRON
ejpam-5639	303	42	gk−1∥	gk−1∥	NOUN
ejpam-5639	303	43	)	)	PUNCT
ejpam-5639	303	44	dtk−1yk−1	dtk−1yk−1	NOUN
ejpam-5639	303	45	∣∣∣∣∣	∣∣∣∣∣	ADP
ejpam-5639	303	46	≤	≤	NOUN
ejpam-5639	303	47	(	(	PUNCT
ejpam-5639	303	48	lλγ̄	lλγ̄	NOUN
ejpam-5639	303	49	)	)	PUNCT
ejpam-5639	303	50	c((1−	c((1−	PUNCT
ejpam-5639	304	1	δ)−	δ)−	PROPN
ejpam-5639	304	2	σ)γ2	σ)γ2	PROPN
ejpam-5639	304	3	≤	≤	NUM
ejpam-5639	304	4	1	1	NUM
ejpam-5639	304	5	2b	2b	NUM
ejpam-5639	304	6	.	.	PUNCT
ejpam-5639	305	1	lemma	lemma	PROPN
ejpam-5639	305	2	3.3	3.3	NUM
ejpam-5639	305	3	we	we	PRON
ejpam-5639	305	4	now	now	ADV
ejpam-5639	305	5	have	have	VERB
ejpam-5639	305	6	an	an	DET
ejpam-5639	305	7	assumption	assumption	NOUN
ejpam-5639	305	8	that	that	SCONJ
ejpam-5639	305	9	assumption	assumption	NOUN
ejpam-5639	305	10	1	1	NUM
ejpam-5639	305	11	is	be	AUX
ejpam-5639	305	12	satisfied	satisfied	ADJ
ejpam-5639	305	13	,	,	PUNCT
ejpam-5639	305	14	while	while	SCONJ
ejpam-5639	305	15	sequences	sequence	NOUN
ejpam-5639	305	16	{	{	PUNCT
ejpam-5639	305	17	gk	gk	NOUN
ejpam-5639	305	18	}	}	PUNCT
ejpam-5639	305	19	as	as	ADV
ejpam-5639	305	20	well	well	ADV
ejpam-5639	305	21	as	as	ADP
ejpam-5639	305	22	{	{	PUNCT
ejpam-5639	305	23	dk	dk	NOUN
ejpam-5639	305	24	}	}	PUNCT
ejpam-5639	305	25	are	be	AUX
ejpam-5639	305	26	formed	form	VERB
ejpam-5639	305	27	by	by	ADP
ejpam-5639	305	28	applying	apply	VERB
ejpam-5639	305	29	algorithm	algorithm	NOUN
ejpam-5639	305	30	1	1	NUM
ejpam-5639	305	31	.	.	PUNCT
ejpam-5639	306	1	following	follow	VERB
ejpam-5639	306	2	from	from	ADP
ejpam-5639	306	3	here	here	ADV
ejpam-5639	306	4	,	,	PUNCT
ejpam-5639	306	5	the	the	DET
ejpam-5639	306	6	step	step	NOUN
ejpam-5639	306	7	size	size	NOUN
ejpam-5639	306	8	αk	αk	NOUN
ejpam-5639	306	9	is	be	AUX
ejpam-5639	306	10	created	create	VERB
ejpam-5639	306	11	utilizing	utilize	VERB
ejpam-5639	306	12	the	the	DET
ejpam-5639	306	13	swp	swp	NOUN
ejpam-5639	306	14	line	line	NOUN
ejpam-5639	306	15	search	search	NOUN
ejpam-5639	306	16	provided	provide	VERB
ejpam-5639	306	17	that	that	SCONJ
ejpam-5639	306	18	the	the	DET
ejpam-5639	306	19	sufficient	sufficient	ADJ
ejpam-5639	306	20	dc	dc	PROPN
ejpam-5639	306	21	is	be	AUX
ejpam-5639	306	22	satisfied	satisfied	ADJ
ejpam-5639	306	23	.	.	PUNCT
ejpam-5639	307	1	given	give	VERB
ejpam-5639	307	2	that	that	PRON
ejpam-5639	307	3	βk	βk	ADP
ejpam-5639	307	4	≥	≥	NOUN
ejpam-5639	307	5	0	0	NUM
ejpam-5639	307	6	,	,	PUNCT
ejpam-5639	307	7	a	a	DET
ejpam-5639	307	8	constant	constant	ADJ
ejpam-5639	307	9	γ	γ	X
ejpam-5639	307	10	>	>	X
ejpam-5639	307	11	0	0	NUM
ejpam-5639	307	12	exists	exist	VERB
ejpam-5639	307	13	in	in	ADP
ejpam-5639	307	14	which	which	PRON
ejpam-5639	307	15	∥gk∥	∥gk∥	ADP
ejpam-5639	307	16	>	>	SYM
ejpam-5639	307	17	γ∀k	γ∀k	NUM
ejpam-5639	307	18	≥	≥	NOUN
ejpam-5639	307	19	1	1	NUM
ejpam-5639	307	20	.	.	PUNCT
ejpam-5639	308	1	hence	hence	ADV
ejpam-5639	308	2	,	,	PUNCT
ejpam-5639	308	3	dk	dk	PROPN
ejpam-5639	308	4	̸=	̸=	PROPN
ejpam-5639	308	5	0	0	NUM
ejpam-5639	308	6	and	and	CCONJ
ejpam-5639	308	7	∞∑	∞∑	PRON
ejpam-5639	308	8	k=0	k=0	PROPN
ejpam-5639	308	9	∥uk+1	∥uk+1	VERB
ejpam-5639	308	10	−	−	PROPN
ejpam-5639	309	1	uk∥2	uk∥2	PROPN
ejpam-5639	309	2	<	<	X
ejpam-5639	309	3	∞.	∞.	PROPN
ejpam-5639	309	4	(	(	PUNCT
ejpam-5639	309	5	14	14	NUM
ejpam-5639	309	6	)	)	PUNCT
ejpam-5639	309	7	in	in	ADP
ejpam-5639	309	8	which	which	PRON
ejpam-5639	309	9	uk	uk	PROPN
ejpam-5639	309	10	=	=	SYM
ejpam-5639	309	11	dk	dk	PROPN
ejpam-5639	309	12	∥dk∥	∥dk∥	NOUN
ejpam-5639	309	13	.	.	PUNCT
ejpam-5639	310	1	proof	proof	NOUN
ejpam-5639	310	2	.	.	PUNCT
ejpam-5639	311	1	first	first	ADV
ejpam-5639	311	2	,	,	PUNCT
ejpam-5639	311	3	provided	provide	VERB
ejpam-5639	311	4	that	that	SCONJ
ejpam-5639	311	5	dk	dk	PROPN
ejpam-5639	311	6	=	=	NOUN
ejpam-5639	311	7	0	0	PROPN
ejpam-5639	311	8	.	.	PUNCT
ejpam-5639	312	1	thus	thus	ADV
ejpam-5639	312	2	,	,	PUNCT
ejpam-5639	312	3	following	follow	VERB
ejpam-5639	312	4	the	the	DET
ejpam-5639	312	5	sufficient	sufficient	ADJ
ejpam-5639	312	6	dc	dc	NOUN
ejpam-5639	312	7	,	,	PUNCT
ejpam-5639	312	8	we	we	PRON
ejpam-5639	312	9	now	now	ADV
ejpam-5639	312	10	obtain	obtain	VERB
ejpam-5639	312	11	gk	gk	PROPN
ejpam-5639	312	12	=	=	NOUN
ejpam-5639	312	13	0	0	PROPN
ejpam-5639	312	14	.	.	PUNCT
ejpam-5639	313	1	therefore	therefore	ADV
ejpam-5639	313	2	,	,	PUNCT
ejpam-5639	313	3	we	we	PRON
ejpam-5639	313	4	assume	assume	VERB
ejpam-5639	313	5	that	that	SCONJ
ejpam-5639	313	6	dk	dk	PROPN
ejpam-5639	313	7	̸=	̸=	PROPN
ejpam-5639	313	8	0	0	NUM
ejpam-5639	313	9	with	with	ADP
ejpam-5639	313	10	γ̄	γ̄	PROPN
ejpam-5639	313	11	≥	≥	PROPN
ejpam-5639	313	12	∥gk∥	∥gk∥	NUM
ejpam-5639	313	13	≥	≥	PROPN
ejpam-5639	313	14	γ	γ	X
ejpam-5639	313	15	>	>	X
ejpam-5639	313	16	0	0	PROPN
ejpam-5639	313	17	,	,	PUNCT
ejpam-5639	313	18	∀k	∀k	NOUN
ejpam-5639	313	19	≥	≥	NUM
ejpam-5639	313	20	1	1	NUM
ejpam-5639	313	21	.	.	PUNCT
ejpam-5639	314	1	(	(	PUNCT
ejpam-5639	314	2	15	15	NUM
ejpam-5639	314	3	)	)	PUNCT
ejpam-5639	314	4	we	we	PRON
ejpam-5639	314	5	now	now	ADV
ejpam-5639	314	6	define	define	VERB
ejpam-5639	314	7	uk	uk	PROPN
ejpam-5639	314	8	=	=	SYM
ejpam-5639	314	9	wk	wk	PROPN
ejpam-5639	315	1	+	+	SYM
ejpam-5639	315	2	δkuk−1	δkuk−1	PROPN
ejpam-5639	315	3	,	,	PUNCT
ejpam-5639	315	4	in	in	ADP
ejpam-5639	315	5	which	which	PRON
ejpam-5639	315	6	wk	wk	X
ejpam-5639	315	7	=	=	PUNCT
ejpam-5639	315	8	−gk	−gk	PROPN
ejpam-5639	315	9	+	+	NUM
ejpam-5639	315	10	θk	θk	NOUN
ejpam-5639	315	11	∥dk∥	∥dk∥	NOUN
ejpam-5639	315	12	,	,	PUNCT
ejpam-5639	315	13	θk	θk	PROPN
ejpam-5639	315	14	=	=	SYM
ejpam-5639	315	15	δ	δ	PROPN
ejpam-5639	315	16	gtk	gtk	NOUN
ejpam-5639	315	17	sk−1	sk−1	PROPN
ejpam-5639	315	18	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	316	1	sk−1	sk−1	PROPN
ejpam-5639	316	2	,	,	PUNCT
ejpam-5639	316	3	δk	δk	SCONJ
ejpam-5639	316	4	=	=	SYM
ejpam-5639	316	5	βhs	βhs	NOUN
ejpam-5639	316	6	k	k	PROPN
ejpam-5639	316	7	∥dk−1∥	∥dk−1∥	PROPN
ejpam-5639	316	8	∥dk∥	∥dk∥	PROPN
ejpam-5639	316	9	.	.	PUNCT
ejpam-5639	317	1	provided	provide	VERB
ejpam-5639	317	2	that	that	SCONJ
ejpam-5639	317	3	uk	uk	PROPN
ejpam-5639	317	4	expresses	express	VERB
ejpam-5639	317	5	a	a	DET
ejpam-5639	317	6	unit	unit	NOUN
ejpam-5639	317	7	vector	vector	NOUN
ejpam-5639	317	8	,	,	PUNCT
ejpam-5639	317	9	we	we	PRON
ejpam-5639	317	10	now	now	ADV
ejpam-5639	317	11	obtain	obtain	VERB
ejpam-5639	317	12	∥wk∥	∥wk∥	NOUN
ejpam-5639	317	13	=	=	SYM
ejpam-5639	317	14	∥uk	∥uk	NOUN
ejpam-5639	317	15	−	−	NOUN
ejpam-5639	317	16	δkuk−1∥	δkuk−1∥	NOUN
ejpam-5639	317	17	=	=	SYM
ejpam-5639	317	18	∥δkuk	∥δkuk	NOUN
ejpam-5639	317	19	−	−	PROPN
ejpam-5639	317	20	uk−1∥	uk−1∥	PROPN
ejpam-5639	317	21	.	.	PUNCT
ejpam-5639	318	1	following	follow	VERB
ejpam-5639	318	2	the	the	DET
ejpam-5639	318	3	triangular	triangular	NOUN
ejpam-5639	318	4	inequality	inequality	NOUN
ejpam-5639	318	5	and	and	CCONJ
ejpam-5639	318	6	δk	δk	DET
ejpam-5639	318	7	≥	≥	NOUN
ejpam-5639	318	8	0	0	NUM
ejpam-5639	318	9	,	,	PUNCT
ejpam-5639	318	10	we	we	PRON
ejpam-5639	318	11	now	now	ADV
ejpam-5639	318	12	have	have	AUX
ejpam-5639	318	13	∥uk	∥uk	VERB
ejpam-5639	318	14	−	−	PROPN
ejpam-5639	318	15	uk−1∥	uk−1∥	NOUN
ejpam-5639	318	16	≤	≤	NOUN
ejpam-5639	318	17	(	(	PUNCT
ejpam-5639	318	18	1	1	NUM
ejpam-5639	318	19	+	+	CCONJ
ejpam-5639	318	20	δk	δk	ADJ
ejpam-5639	318	21	)	)	PUNCT
ejpam-5639	318	22	∥uk	∥uk	NOUN
ejpam-5639	318	23	−	−	PROPN
ejpam-5639	318	24	uk−1∥	uk−1∥	PROPN
ejpam-5639	318	25	=	=	PUNCT
ejpam-5639	318	26	∥uk	∥uk	PROPN
ejpam-5639	318	27	−	−	PROPN
ejpam-5639	318	28	δkuk−1	δkuk−1	PROPN
ejpam-5639	318	29	−	−	PROPN
ejpam-5639	318	30	(	(	PUNCT
ejpam-5639	318	31	uk−1	uk−1	PROPN
ejpam-5639	318	32	−	−	PROPN
ejpam-5639	318	33	δkuk)∥	δkuk)∥	NOUN
ejpam-5639	318	34	.	.	PUNCT
ejpam-5639	319	1	(	(	PUNCT
ejpam-5639	319	2	16	16	NUM
ejpam-5639	319	3	)	)	PUNCT
ejpam-5639	319	4	≤	≤	NOUN
ejpam-5639	319	5	∥uk	∥uk	VERB
ejpam-5639	319	6	−	−	PROPN
ejpam-5639	319	7	δkuk−1∥+	δkuk−1∥+	NOUN
ejpam-5639	319	8	∥uk−1	∥uk−1	PRON
ejpam-5639	319	9	−	−	NOUN
ejpam-5639	319	10	δkuk∥	δkuk∥	NOUN
ejpam-5639	319	11	=	=	NOUN
ejpam-5639	319	12	2	2	NUM
ejpam-5639	319	13	∥wk∥	∥wk∥	NOUN
ejpam-5639	319	14	.	.	PUNCT
ejpam-5639	320	1	next	next	ADV
ejpam-5639	320	2	,	,	PUNCT
ejpam-5639	320	3	we	we	PRON
ejpam-5639	320	4	express	express	VERB
ejpam-5639	320	5	ν	ν	NOUN
ejpam-5639	320	6	=	=	PUNCT
ejpam-5639	320	7	−gk	−gk	PROPN
ejpam-5639	320	8	+	+	CCONJ
ejpam-5639	320	9	δ	δ	PROPN
ejpam-5639	320	10	gtk	gtk	NOUN
ejpam-5639	320	11	sk−1	sk−1	PROPN
ejpam-5639	320	12	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	320	13	sk−1	sk−1	PROPN
ejpam-5639	320	14	.	.	PUNCT
ejpam-5639	321	1	by	by	ADP
ejpam-5639	321	2	utilizing	utilize	VERB
ejpam-5639	321	3	the	the	DET
ejpam-5639	321	4	triangular	triangular	NOUN
ejpam-5639	321	5	inequality	inequality	NOUN
ejpam-5639	321	6	,	,	PUNCT
ejpam-5639	321	7	we	we	PRON
ejpam-5639	321	8	gain	gain	VERB
ejpam-5639	321	9	:	:	PUNCT
ejpam-5639	321	10	∥ν∥	∥ν∥	ADJ
ejpam-5639	321	11	≤	≤	NOUN
ejpam-5639	321	12	(	(	PUNCT
ejpam-5639	321	13	1	1	NUM
ejpam-5639	321	14	+	+	NUM
ejpam-5639	321	15	δ	δ	PROPN
ejpam-5639	321	16	)	)	PUNCT
ejpam-5639	321	17	∥gk∥	∥gk∥	NUM
ejpam-5639	322	1	=	=	PUNCT
ejpam-5639	322	2	(	(	PUNCT
ejpam-5639	322	3	1	1	NUM
ejpam-5639	322	4	+	+	NUM
ejpam-5639	322	5	δ)γ̄	δ)γ̄	NOUN
ejpam-5639	322	6	=	=	SYM
ejpam-5639	322	7	t.	t.	NOUN
ejpam-5639	322	8	(	(	PUNCT
ejpam-5639	322	9	17	17	NUM
ejpam-5639	322	10	)	)	PUNCT
ejpam-5639	322	11	then	then	ADV
ejpam-5639	322	12	,	,	PUNCT
ejpam-5639	322	13	∥ν∥	∥ν∥	ADJ
ejpam-5639	322	14	≤	≤	PROPN
ejpam-5639	322	15	t	t	NOUN
ejpam-5639	322	16	.	.	PUNCT
ejpam-5639	323	1	from	from	ADP
ejpam-5639	323	2	eqn	eqn	PROPN
ejpam-5639	323	3	.	.	PUNCT
ejpam-5639	324	1	(	(	PUNCT
ejpam-5639	324	2	16	16	NUM
ejpam-5639	324	3	)	)	PUNCT
ejpam-5639	324	4	,	,	PUNCT
ejpam-5639	324	5	we	we	PRON
ejpam-5639	324	6	have	have	AUX
ejpam-5639	324	7	∥uk	∥uk	VERB
ejpam-5639	324	8	−	−	PROPN
ejpam-5639	324	9	uk−1∥	uk−1∥	ADJ
ejpam-5639	324	10	≤	≤	NOUN
ejpam-5639	324	11	2w	2w	NUM
ejpam-5639	324	12	.	.	PUNCT
ejpam-5639	325	1	a.	a.	NOUN
ejpam-5639	325	2	alhawarat	alhawarat	PROPN
ejpam-5639	325	3	et	et	PROPN
ejpam-5639	325	4	al	al	PROPN
ejpam-5639	325	5	.	.	PUNCT
ejpam-5639	325	6	/	/	SYM
ejpam-5639	325	7	eur	eur	PROPN
ejpam-5639	325	8	.	.	PUNCT
ejpam-5639	326	1	j.	j.	PROPN
ejpam-5639	326	2	pure	pure	PROPN
ejpam-5639	326	3	appl	appl	PROPN
ejpam-5639	326	4	.	.	PROPN
ejpam-5639	326	5	math	math	PROPN
ejpam-5639	326	6	,	,	PUNCT
ejpam-5639	326	7	18	18	NUM
ejpam-5639	326	8	(	(	PUNCT
ejpam-5639	326	9	1	1	NUM
ejpam-5639	326	10	)	)	PUNCT
ejpam-5639	326	11	(	(	PUNCT
ejpam-5639	326	12	2025	2025	NUM
ejpam-5639	326	13	)	)	PUNCT
ejpam-5639	326	14	,	,	PUNCT
ejpam-5639	326	15	5639	5639	NUM
ejpam-5639	326	16	12	12	NUM
ejpam-5639	326	17	of	of	ADP
ejpam-5639	326	18	27	27	NUM
ejpam-5639	326	19	by	by	ADP
ejpam-5639	326	20	eqns	eqns	PROPN
ejpam-5639	326	21	.	.	PUNCT
ejpam-5639	327	1	(	(	PUNCT
ejpam-5639	327	2	16	16	NUM
ejpam-5639	327	3	)	)	PUNCT
ejpam-5639	327	4	and	and	CCONJ
ejpam-5639	327	5	(	(	PUNCT
ejpam-5639	327	6	17	17	NUM
ejpam-5639	327	7	)	)	PUNCT
ejpam-5639	327	8	,	,	PUNCT
ejpam-5639	327	9	we	we	PRON
ejpam-5639	327	10	get	get	VERB
ejpam-5639	327	11	∞∑	∞∑	NUM
ejpam-5639	327	12	k=0	k=0	PROPN
ejpam-5639	327	13	∥uk+1	∥uk+1	VERB
ejpam-5639	327	14	−	−	PROPN
ejpam-5639	327	15	uk∥2	uk∥2	PROPN
ejpam-5639	327	16	≤	≤	NUM
ejpam-5639	327	17	4	4	NUM
ejpam-5639	328	1	∞∑	∞∑	NUM
ejpam-5639	328	2	k=0	k=0	PROPN
ejpam-5639	328	3	∥w∥2	∥w∥2	VERB
ejpam-5639	328	4	≤	≤	ADJ
ejpam-5639	328	5	4	4	NUM
ejpam-5639	328	6	t	t	NOUN
ejpam-5639	328	7	2	2	NUM
ejpam-5639	329	1	∞∑	∞∑	PRON
ejpam-5639	329	2	k=0	k=0	NOUN
ejpam-5639	329	3	1	1	NUM
ejpam-5639	329	4	∥dk∥2	∥dk∥2	PROPN
ejpam-5639	329	5	<	<	X
ejpam-5639	329	6	∞	∞	PROPN
ejpam-5639	329	7	,	,	PUNCT
ejpam-5639	329	8	completing	complete	VERB
ejpam-5639	329	9	the	the	DET
ejpam-5639	329	10	proof	proof	NOUN
ejpam-5639	329	11	.	.	PUNCT
ejpam-5639	330	1	by	by	ADP
ejpam-5639	330	2	lemmas	lemmas	PROPN
ejpam-5639	330	3	4.1	4.1	NUM
ejpam-5639	330	4	and	and	CCONJ
ejpam-5639	330	5	4.2	4.2	NUM
ejpam-5639	330	6	in	in	ADP
ejpam-5639	330	7	[	[	PUNCT
ejpam-5639	330	8	11	11	NUM
ejpam-5639	330	9	]	]	PUNCT
ejpam-5639	330	10	,	,	PUNCT
ejpam-5639	330	11	we	we	PRON
ejpam-5639	330	12	obtained	obtain	VERB
ejpam-5639	330	13	the	the	DET
ejpam-5639	330	14	results	result	NOUN
ejpam-5639	330	15	given	give	VERB
ejpam-5639	330	16	below	below	ADV
ejpam-5639	330	17	.	.	PUNCT
ejpam-5639	331	1	theorem	theorem	VERB
ejpam-5639	331	2	3.4	3.4	NUM
ejpam-5639	331	3	suppose	suppose	VERB
ejpam-5639	331	4	sequences	sequence	NOUN
ejpam-5639	331	5	{	{	PUNCT
ejpam-5639	331	6	xk	xk	ADJ
ejpam-5639	331	7	}	}	PUNCT
ejpam-5639	331	8	as	as	ADV
ejpam-5639	331	9	well	well	ADV
ejpam-5639	331	10	as{dk	as{dk	PROPN
ejpam-5639	331	11	}	}	PUNCT
ejpam-5639	331	12	be	be	AUX
ejpam-5639	331	13	generated	generate	VERB
ejpam-5639	331	14	by	by	ADP
ejpam-5639	331	15	eqns	eqns	PROPN
ejpam-5639	331	16	.	.	PUNCT
ejpam-5639	332	1	(	(	PUNCT
ejpam-5639	332	2	2	2	X
ejpam-5639	332	3	)	)	PUNCT
ejpam-5639	332	4	as	as	ADV
ejpam-5639	332	5	well	well	ADV
ejpam-5639	332	6	as	as	ADP
ejpam-5639	332	7	(	(	PUNCT
ejpam-5639	332	8	3	3	NUM
ejpam-5639	332	9	)	)	PUNCT
ejpam-5639	332	10	by	by	ADP
ejpam-5639	332	11	utilizing	utilize	VERB
ejpam-5639	332	12	the	the	DET
ejpam-5639	332	13	cg	cg	NOUN
ejpam-5639	332	14	method	method	NOUN
ejpam-5639	332	15	given	give	VERB
ejpam-5639	332	16	in	in	ADP
ejpam-5639	332	17	eqn	eqn	NOUN
ejpam-5639	332	18	.	.	PUNCT
ejpam-5639	333	1	(	(	PUNCT
ejpam-5639	333	2	4	4	NUM
ejpam-5639	333	3	)	)	PUNCT
ejpam-5639	333	4	.	.	PUNCT
ejpam-5639	334	1	moreover	moreover	ADV
ejpam-5639	334	2	,	,	PUNCT
ejpam-5639	334	3	suppose	suppose	VERB
ejpam-5639	334	4	the	the	DET
ejpam-5639	334	5	step	step	NOUN
ejpam-5639	334	6	size	size	NOUN
ejpam-5639	334	7	satisfies	satisfie	NOUN
ejpam-5639	334	8	(	(	PUNCT
ejpam-5639	334	9	3	3	NUM
ejpam-5639	334	10	)	)	PUNCT
ejpam-5639	334	11	as	as	ADV
ejpam-5639	334	12	well	well	ADV
ejpam-5639	334	13	as	as	ADP
ejpam-5639	334	14	(	(	PUNCT
ejpam-5639	334	15	4	4	NUM
ejpam-5639	334	16	)	)	PUNCT
ejpam-5639	334	17	.	.	PUNCT
ejpam-5639	335	1	by	by	ADP
ejpam-5639	335	2	employing	employ	VERB
ejpam-5639	335	3	lemmas	lemmas	PROPN
ejpam-5639	335	4	3.2	3.2	NUM
ejpam-5639	335	5	,	,	PUNCT
ejpam-5639	335	6	3.3	3.3	NUM
ejpam-5639	335	7	,	,	PUNCT
ejpam-5639	335	8	as	as	ADV
ejpam-5639	335	9	well	well	ADV
ejpam-5639	335	10	as	as	ADP
ejpam-5639	335	11	lemmas	lemma	VERB
ejpam-5639	335	12	4.1	4.1	NUM
ejpam-5639	335	13	4.2	4.2	NUM
ejpam-5639	335	14	in	in	ADP
ejpam-5639	335	15	[	[	X
ejpam-5639	335	16	11	11	NUM
ejpam-5639	335	17	]	]	PUNCT
ejpam-5639	335	18	,	,	PUNCT
ejpam-5639	335	19	we	we	PRON
ejpam-5639	335	20	gain	gain	VERB
ejpam-5639	335	21	the	the	DET
ejpam-5639	335	22	findings	finding	NOUN
ejpam-5639	335	23	such	such	ADJ
ejpam-5639	335	24	that	that	SCONJ
ejpam-5639	335	25	lim	lim	PROPN
ejpam-5639	335	26	inf	inf	PROPN
ejpam-5639	335	27	k→∞	k→∞	NOUN
ejpam-5639	335	28	∥gk∥	∥gk∥	NOUN
ejpam-5639	336	1	=	=	SYM
ejpam-5639	336	2	0	0	NUM
ejpam-5639	336	3	.	.	NOUN
ejpam-5639	336	4	5	5	NUM
ejpam-5639	336	5	.	.	X
ejpam-5639	336	6	numerical	numerical	PROPN
ejpam-5639	336	7	findings	finding	NOUN
ejpam-5639	336	8	and	and	CCONJ
ejpam-5639	336	9	discussions	discussion	NOUN
ejpam-5639	336	10	to	to	PART
ejpam-5639	336	11	assess	assess	VERB
ejpam-5639	336	12	the	the	DET
ejpam-5639	336	13	effectiveness	effectiveness	NOUN
ejpam-5639	336	14	of	of	ADP
ejpam-5639	336	15	the	the	DET
ejpam-5639	336	16	new	new	ADJ
ejpam-5639	336	17	search	search	NOUN
ejpam-5639	336	18	direction	direction	NOUN
ejpam-5639	336	19	as	as	SCONJ
ejpam-5639	336	20	defined	define	VERB
ejpam-5639	336	21	in	in	ADP
ejpam-5639	336	22	eqn	eqn	NOUN
ejpam-5639	336	23	.	.	PUNCT
ejpam-5639	337	1	(	(	PUNCT
ejpam-5639	337	2	?	?	PUNCT
ejpam-5639	337	3	?	?	PUNCT
ejpam-5639	337	4	)	)	PUNCT
ejpam-5639	337	5	,	,	PUNCT
ejpam-5639	337	6	we	we	PRON
ejpam-5639	337	7	selected	select	VERB
ejpam-5639	337	8	over	over	ADP
ejpam-5639	337	9	180	180	NUM
ejpam-5639	337	10	test	test	NOUN
ejpam-5639	337	11	functions	function	NOUN
ejpam-5639	337	12	from	from	ADP
ejpam-5639	337	13	the	the	DET
ejpam-5639	337	14	cuter	cut	ADJ
ejpam-5639	337	15	[	[	X
ejpam-5639	337	16	5	5	NUM
ejpam-5639	337	17	]	]	PUNCT
ejpam-5639	337	18	library	library	NOUN
ejpam-5639	337	19	.	.	PUNCT
ejpam-5639	338	1	we	we	PRON
ejpam-5639	338	2	conducted	conduct	VERB
ejpam-5639	338	3	a	a	DET
ejpam-5639	338	4	comprehensive	comprehensive	ADJ
ejpam-5639	338	5	comparison	comparison	NOUN
ejpam-5639	338	6	with	with	ADP
ejpam-5639	338	7	robust	robust	ADJ
ejpam-5639	338	8	cg	cg	NOUN
ejpam-5639	338	9	coefficients	coefficient	NOUN
ejpam-5639	338	10	,	,	PUNCT
ejpam-5639	338	11	including	include	VERB
ejpam-5639	338	12	the	the	DET
ejpam-5639	338	13	dl+	dl+	NOUN
ejpam-5639	338	14	and	and	CCONJ
ejpam-5639	338	15	fr	fr	ADJ
ejpam-5639	338	16	cg	cg	NOUN
ejpam-5639	338	17	methods	method	NOUN
ejpam-5639	338	18	.	.	PUNCT
ejpam-5639	339	1	the	the	DET
ejpam-5639	339	2	comparison	comparison	NOUN
ejpam-5639	339	3	criteria	criterion	NOUN
ejpam-5639	339	4	included	include	VERB
ejpam-5639	339	5	cpu	cpu	NOUN
ejpam-5639	339	6	time	time	NOUN
ejpam-5639	339	7	,	,	PUNCT
ejpam-5639	339	8	the	the	DET
ejpam-5639	339	9	number	number	NOUN
ejpam-5639	339	10	of	of	ADP
ejpam-5639	339	11	function	function	NOUN
ejpam-5639	339	12	evaluations	evaluation	NOUN
ejpam-5639	339	13	,	,	PUNCT
ejpam-5639	339	14	the	the	DET
ejpam-5639	339	15	number	number	NOUN
ejpam-5639	339	16	of	of	ADP
ejpam-5639	339	17	iterations	iteration	NOUN
ejpam-5639	339	18	as	as	ADV
ejpam-5639	339	19	well	well	ADV
ejpam-5639	339	20	as	as	ADP
ejpam-5639	339	21	the	the	DET
ejpam-5639	339	22	number	number	NOUN
ejpam-5639	339	23	of	of	ADP
ejpam-5639	339	24	gradient	gradient	NOUN
ejpam-5639	339	25	evaluations	evaluation	NOUN
ejpam-5639	339	26	.	.	PUNCT
ejpam-5639	340	1	by	by	ADP
ejpam-5639	340	2	analyzing	analyze	VERB
ejpam-5639	340	3	these	these	DET
ejpam-5639	340	4	metrics	metric	NOUN
ejpam-5639	340	5	,	,	PUNCT
ejpam-5639	340	6	we	we	PRON
ejpam-5639	340	7	aimed	aim	VERB
ejpam-5639	340	8	to	to	PART
ejpam-5639	340	9	determine	determine	VERB
ejpam-5639	340	10	how	how	SCONJ
ejpam-5639	340	11	the	the	DET
ejpam-5639	340	12	new	new	ADJ
ejpam-5639	340	13	search	search	NOUN
ejpam-5639	340	14	direction	direction	NOUN
ejpam-5639	340	15	performs	perform	VERB
ejpam-5639	340	16	relative	relative	ADJ
ejpam-5639	340	17	to	to	ADP
ejpam-5639	340	18	the	the	DET
ejpam-5639	340	19	benchmark	benchmark	ADJ
ejpam-5639	340	20	methods	method	NOUN
ejpam-5639	340	21	.	.	PUNCT
ejpam-5639	341	1	we	we	PRON
ejpam-5639	341	2	used	use	VERB
ejpam-5639	341	3	the	the	DET
ejpam-5639	341	4	swp	swp	NOUN
ejpam-5639	341	5	line	line	NOUN
ejpam-5639	341	6	search	search	NOUN
ejpam-5639	341	7	setting	set	VERB
ejpam-5639	341	8	δ	δ	X
ejpam-5639	341	9	=	=	NOUN
ejpam-5639	341	10	0.01	0.01	NUM
ejpam-5639	341	11	as	as	ADV
ejpam-5639	341	12	well	well	ADV
ejpam-5639	341	13	as	as	ADP
ejpam-5639	341	14	σ	σ	NOUN
ejpam-5639	341	15	=	=	NOUN
ejpam-5639	341	16	0.1	0.1	NUM
ejpam-5639	341	17	for	for	ADP
ejpam-5639	341	18	all	all	DET
ejpam-5639	341	19	methods	method	NOUN
ejpam-5639	341	20	.	.	PUNCT
ejpam-5639	342	1	the	the	DET
ejpam-5639	342	2	results	result	NOUN
ejpam-5639	342	3	for	for	ADP
ejpam-5639	342	4	the	the	DET
ejpam-5639	342	5	dl+	dl+	PROPN
ejpam-5639	342	6	,	,	PUNCT
ejpam-5639	342	7	pfr	pfr	NOUN
ejpam-5639	342	8	,	,	PUNCT
ejpam-5639	342	9	and	and	CCONJ
ejpam-5639	342	10	fr	fr	PROPN
ejpam-5639	342	11	methods	method	NOUN
ejpam-5639	342	12	were	be	AUX
ejpam-5639	342	13	obtained	obtain	VERB
ejpam-5639	342	14	by	by	ADP
ejpam-5639	342	15	executing	execute	VERB
ejpam-5639	342	16	a	a	DET
ejpam-5639	342	17	modified	modify	VERB
ejpam-5639	342	18	version	version	NOUN
ejpam-5639	342	19	of	of	ADP
ejpam-5639	342	20	the	the	DET
ejpam-5639	342	21	cg	cg	NOUN
ejpam-5639	342	22	-	-	PUNCT
ejpam-5639	342	23	descent	descent	NOUN
ejpam-5639	342	24	code	code	NOUN
ejpam-5639	342	25	.	.	PUNCT
ejpam-5639	343	1	this	this	DET
ejpam-5639	343	2	modified	modify	VERB
ejpam-5639	343	3	code	code	NOUN
ejpam-5639	343	4	is	be	AUX
ejpam-5639	343	5	available	available	ADJ
ejpam-5639	343	6	on	on	ADP
ejpam-5639	343	7	the	the	DET
ejpam-5639	343	8	hager	hager	NOUN
ejpam-5639	343	9	webpage(see	webpage(see	VERB
ejpam-5639	343	10	here	here	ADV
ejpam-5639	343	11	)	)	PUNCT
ejpam-5639	343	12	.	.	PUNCT
ejpam-5639	344	1	by	by	ADP
ejpam-5639	344	2	adapting	adapt	VERB
ejpam-5639	344	3	the	the	DET
ejpam-5639	344	4	original	original	ADJ
ejpam-5639	344	5	cg	cg	NOUN
ejpam-5639	344	6	-	-	PUNCT
ejpam-5639	344	7	descent	descent	NOUN
ejpam-5639	344	8	code	code	NOUN
ejpam-5639	344	9	,	,	PUNCT
ejpam-5639	344	10	we	we	PRON
ejpam-5639	344	11	ensured	ensure	VERB
ejpam-5639	344	12	compatibility	compatibility	NOUN
ejpam-5639	344	13	with	with	ADP
ejpam-5639	344	14	our	our	PRON
ejpam-5639	344	15	specific	specific	ADJ
ejpam-5639	344	16	requirements	requirement	NOUN
ejpam-5639	344	17	for	for	ADP
ejpam-5639	344	18	testing	test	VERB
ejpam-5639	344	19	these	these	DET
ejpam-5639	344	20	methods	method	NOUN
ejpam-5639	344	21	.	.	PUNCT
ejpam-5639	345	1	the	the	DET
ejpam-5639	345	2	norm	norm	NOUN
ejpam-5639	345	3	of	of	ADP
ejpam-5639	345	4	the	the	DET
ejpam-5639	345	5	gradient	gradient	NOUN
ejpam-5639	345	6	was	be	AUX
ejpam-5639	345	7	used	use	VERB
ejpam-5639	345	8	as	as	ADP
ejpam-5639	345	9	the	the	DET
ejpam-5639	345	10	stopping	stopping	NOUN
ejpam-5639	345	11	criterion	criterion	NOUN
ejpam-5639	345	12	for	for	ADP
ejpam-5639	345	13	all	all	DET
ejpam-5639	345	14	algorithms	algorithm	NOUN
ejpam-5639	345	15	,	,	PUNCT
ejpam-5639	345	16	particularly	particularly	ADV
ejpam-5639	345	17	when	when	SCONJ
ejpam-5639	345	18	∥gk∥	∥gk∥	ADJ
ejpam-5639	345	19	≤	≤	ADV
ejpam-5639	345	20	10−6	10−6	NUM
ejpam-5639	345	21	.	.	PUNCT
ejpam-5639	346	1	the	the	DET
ejpam-5639	346	2	computations	computation	NOUN
ejpam-5639	346	3	were	be	AUX
ejpam-5639	346	4	performed	perform	VERB
ejpam-5639	346	5	on	on	ADP
ejpam-5639	346	6	a	a	DET
ejpam-5639	346	7	host	host	NOUN
ejpam-5639	346	8	computer	computer	NOUN
ejpam-5639	346	9	running	run	VERB
ejpam-5639	346	10	ubuntu	ubuntu	NOUN
ejpam-5639	346	11	20.04.2.0	20.04.2.0	PROPN
ejpam-5639	346	12	lts	lts	INTJ
ejpam-5639	346	13	os	os	ADV
ejpam-5639	346	14	,	,	PUNCT
ejpam-5639	346	15	equipped	equip	VERB
ejpam-5639	346	16	with	with	ADP
ejpam-5639	346	17	an	an	DET
ejpam-5639	346	18	11th	11th	ADJ
ejpam-5639	346	19	gen	gen	PROPN
ejpam-5639	346	20	intel(r	intel(r	PROPN
ejpam-5639	346	21	)	)	PUNCT
ejpam-5639	346	22	core(tm	core(tm	NOUN
ejpam-5639	346	23	)	)	PUNCT
ejpam-5639	346	24	i5	i5	PROPN
ejpam-5639	346	25	-	-	PUNCT
ejpam-5639	346	26	1155g7	1155g7	PROPN
ejpam-5639	346	27	@	@	ADP
ejpam-5639	346	28	2.50ghz	2.50ghz	NUM
ejpam-5639	346	29	processor	processor	NOUN
ejpam-5639	346	30	and	and	CCONJ
ejpam-5639	346	31	8.00	8.00	NUM
ejpam-5639	346	32	gb	gb	NOUN
ejpam-5639	346	33	ram	ram	NOUN
ejpam-5639	346	34	.	.	PUNCT
ejpam-5639	347	1	the	the	DET
ejpam-5639	347	2	performance	performance	NOUN
ejpam-5639	347	3	findings	finding	NOUN
ejpam-5639	347	4	are	be	AUX
ejpam-5639	347	5	depicted	depict	VERB
ejpam-5639	347	6	in	in	ADP
ejpam-5639	347	7	figures	figure	NOUN
ejpam-5639	347	8	1	1	NUM
ejpam-5639	347	9	to	to	PART
ejpam-5639	347	10	4	4	NUM
ejpam-5639	347	11	,	,	PUNCT
ejpam-5639	347	12	utilizing	utilize	VERB
ejpam-5639	347	13	a	a	DET
ejpam-5639	347	14	performance	performance	NOUN
ejpam-5639	347	15	measure	measure	NOUN
ejpam-5639	347	16	established	establish	VERB
ejpam-5639	347	17	by	by	ADP
ejpam-5639	347	18	dolan	dolan	PROPN
ejpam-5639	347	19	and	and	CCONJ
ejpam-5639	347	20	more	more	ADJ
ejpam-5639	347	21	[	[	NOUN
ejpam-5639	347	22	8	8	NUM
ejpam-5639	347	23	]	]	PUNCT
ejpam-5639	347	24	.	.	PUNCT
ejpam-5639	348	1	figure	figure	NOUN
ejpam-5639	348	2	1	1	NUM
ejpam-5639	348	3	illustrates	illustrate	VERB
ejpam-5639	348	4	that	that	SCONJ
ejpam-5639	348	5	the	the	DET
ejpam-5639	348	6	pfr	pfr	NOUN
ejpam-5639	348	7	method	method	NOUN
ejpam-5639	348	8	outperforms	outperform	VERB
ejpam-5639	348	9	the	the	DET
ejpam-5639	348	10	dl+	dl+	NOUN
ejpam-5639	348	11	and	and	CCONJ
ejpam-5639	348	12	fr	fr	ADJ
ejpam-5639	348	13	methods	method	NOUN
ejpam-5639	348	14	in	in	ADP
ejpam-5639	348	15	terms	term	NOUN
ejpam-5639	348	16	of	of	ADP
ejpam-5639	348	17	the	the	DET
ejpam-5639	348	18	number	number	NOUN
ejpam-5639	348	19	of	of	ADP
ejpam-5639	348	20	iterations	iteration	NOUN
ejpam-5639	348	21	required	require	VERB
ejpam-5639	348	22	.	.	PUNCT
ejpam-5639	349	1	as	as	SCONJ
ejpam-5639	349	2	seen	see	VERB
ejpam-5639	349	3	in	in	ADP
ejpam-5639	349	4	figure	figure	NOUN
ejpam-5639	349	5	2	2	NUM
ejpam-5639	349	6	,	,	PUNCT
ejpam-5639	349	7	pfr	pfr	NOUN
ejpam-5639	349	8	significantly	significantly	ADV
ejpam-5639	349	9	surpasses	surpass	VERB
ejpam-5639	349	10	all	all	DET
ejpam-5639	349	11	other	other	ADJ
ejpam-5639	349	12	methods	method	NOUN
ejpam-5639	349	13	in	in	ADP
ejpam-5639	349	14	terms	term	NOUN
ejpam-5639	349	15	of	of	ADP
ejpam-5639	349	16	the	the	DET
ejpam-5639	349	17	number	number	NOUN
ejpam-5639	349	18	of	of	ADP
ejpam-5639	349	19	function	function	NOUN
ejpam-5639	349	20	evaluations	evaluation	NOUN
ejpam-5639	349	21	.	.	PUNCT
ejpam-5639	350	1	meanwhile	meanwhile	ADV
ejpam-5639	350	2	,	,	PUNCT
ejpam-5639	350	3	figure	figure	VERB
ejpam-5639	350	4	3	3	NUM
ejpam-5639	350	5	demonstrates	demonstrate	VERB
ejpam-5639	350	6	that	that	SCONJ
ejpam-5639	350	7	pfr	pfr	NOUN
ejpam-5639	350	8	outperforms	outperform	VERB
ejpam-5639	350	9	dl+	dl+	PROPN
ejpam-5639	350	10	and	and	CCONJ
ejpam-5639	350	11	fr	fr	NOUN
ejpam-5639	350	12	in	in	ADP
ejpam-5639	350	13	the	the	DET
ejpam-5639	350	14	context	context	NOUN
ejpam-5639	350	15	of	of	ADP
ejpam-5639	350	16	gradient	gradient	NOUN
ejpam-5639	350	17	evaluations	evaluation	NOUN
ejpam-5639	350	18	.	.	PUNCT
ejpam-5639	351	1	additionally	additionally	ADV
ejpam-5639	351	2	,	,	PUNCT
ejpam-5639	351	3	figure	figure	NOUN
ejpam-5639	351	4	4	4	NUM
ejpam-5639	351	5	indicates	indicate	VERB
ejpam-5639	351	6	that	that	SCONJ
ejpam-5639	351	7	the	the	DET
ejpam-5639	351	8	pfr	pfr	NOUN
ejpam-5639	351	9	method	method	NOUN
ejpam-5639	351	10	not	not	PART
ejpam-5639	351	11	only	only	ADV
ejpam-5639	351	12	strongly	strongly	ADV
ejpam-5639	351	13	outperforms	outperform	VERB
ejpam-5639	351	14	the	the	DET
ejpam-5639	351	15	fr	fr	PROPN
ejpam-5639	351	16	cg	cg	NOUN
ejpam-5639	351	17	method	method	NOUN
ejpam-5639	351	18	with	with	ADP
ejpam-5639	351	19	regards	regard	NOUN
ejpam-5639	351	20	to	to	ADP
ejpam-5639	351	21	the	the	DET
ejpam-5639	351	22	cpu	cpu	NOUN
ejpam-5639	351	23	time	time	NOUN
ejpam-5639	351	24	but	but	CCONJ
ejpam-5639	351	25	is	be	AUX
ejpam-5639	351	26	also	also	ADV
ejpam-5639	351	27	competitive	competitive	ADJ
ejpam-5639	351	28	with	with	ADP
ejpam-5639	351	29	the	the	DET
ejpam-5639	351	30	dl+	dl+	PROPN
ejpam-5639	351	31	cg	cg	NOUN
ejpam-5639	351	32	method	method	NOUN
ejpam-5639	351	33	.	.	PUNCT
ejpam-5639	352	1	the	the	DET
ejpam-5639	352	2	numerical	numerical	PROPN
ejpam-5639	352	3	findings	finding	NOUN
ejpam-5639	352	4	presented	present	VERB
ejpam-5639	352	5	below	below	ADP
ejpam-5639	352	6	validate	validate	VERB
ejpam-5639	352	7	the	the	DET
ejpam-5639	352	8	efficacy	efficacy	NOUN
ejpam-5639	352	9	of	of	ADP
ejpam-5639	352	10	the	the	DET
ejpam-5639	352	11	proposed	propose	VERB
ejpam-5639	352	12	search	search	NOUN
ejpam-5639	352	13	direction	direction	NOUN
ejpam-5639	352	14	hs+ta	hs+ta	NOUN
ejpam-5639	352	15	.	.	PUNCT
ejpam-5639	353	1	detailed	detailed	ADJ
ejpam-5639	353	2	results	result	NOUN
ejpam-5639	353	3	are	be	AUX
ejpam-5639	353	4	provided	provide	VERB
ejpam-5639	353	5	in	in	ADP
ejpam-5639	353	6	table	table	NOUN
ejpam-5639	353	7	1	1	NUM
ejpam-5639	353	8	.	.	PUNCT
ejpam-5639	354	1	in	in	ADP
ejpam-5639	354	2	this	this	DET
ejpam-5639	354	3	study	study	NOUN
ejpam-5639	354	4	,	,	PUNCT
ejpam-5639	354	5	we	we	PRON
ejpam-5639	354	6	utilized	utilize	VERB
ejpam-5639	354	7	over	over	ADP
ejpam-5639	354	8	180	180	NUM
ejpam-5639	354	9	test	test	NOUN
ejpam-5639	354	10	functions	function	NOUN
ejpam-5639	354	11	from	from	ADP
ejpam-5639	354	12	the	the	DET
ejpam-5639	354	13	cuter	cut	ADJ
ejpam-5639	354	14	library	library	NOUN
ejpam-5639	354	15	to	to	PART
ejpam-5639	354	16	rigorously	rigorously	ADV
ejpam-5639	354	17	assess	assess	VERB
ejpam-5639	354	18	the	the	DET
ejpam-5639	354	19	performance	performance	NOUN
ejpam-5639	354	20	of	of	ADP
ejpam-5639	354	21	our	our	PRON
ejpam-5639	354	22	a.	a.	NOUN
ejpam-5639	354	23	alhawarat	alhawarat	NOUN
ejpam-5639	354	24	et	et	PROPN
ejpam-5639	354	25	al	al	PROPN
ejpam-5639	354	26	.	.	PUNCT
ejpam-5639	354	27	/	/	SYM
ejpam-5639	354	28	eur	eur	PROPN
ejpam-5639	354	29	.	.	PUNCT
ejpam-5639	355	1	j.	j.	PROPN
ejpam-5639	355	2	pure	pure	PROPN
ejpam-5639	355	3	appl	appl	PROPN
ejpam-5639	355	4	.	.	PROPN
ejpam-5639	355	5	math	math	PROPN
ejpam-5639	355	6	,	,	PUNCT
ejpam-5639	355	7	18	18	NUM
ejpam-5639	355	8	(	(	PUNCT
ejpam-5639	355	9	1	1	NUM
ejpam-5639	355	10	)	)	PUNCT
ejpam-5639	355	11	(	(	PUNCT
ejpam-5639	355	12	2025	2025	NUM
ejpam-5639	355	13	)	)	PUNCT
ejpam-5639	355	14	,	,	PUNCT
ejpam-5639	355	15	5639	5639	NUM
ejpam-5639	355	16	13	13	NUM
ejpam-5639	355	17	of	of	ADP
ejpam-5639	355	18	27	27	NUM
ejpam-5639	355	19	figure	figure	NOUN
ejpam-5639	355	20	1	1	NUM
ejpam-5639	355	21	:	:	PUNCT
ejpam-5639	355	22	number	number	NOUN
ejpam-5639	355	23	of	of	ADP
ejpam-5639	355	24	iterations	iteration	NOUN
ejpam-5639	355	25	graph	graph	NOUN
ejpam-5639	355	26	figure	figure	NOUN
ejpam-5639	355	27	2	2	NUM
ejpam-5639	355	28	:	:	PUNCT
ejpam-5639	355	29	number	number	NOUN
ejpam-5639	355	30	of	of	ADP
ejpam-5639	355	31	function	function	NOUN
ejpam-5639	355	32	evaluations	evaluation	NOUN
ejpam-5639	355	33	graph	graph	VERB
ejpam-5639	355	34	figure	figure	NOUN
ejpam-5639	355	35	3	3	NUM
ejpam-5639	355	36	:	:	PUNCT
ejpam-5639	355	37	number	number	NOUN
ejpam-5639	355	38	of	of	ADP
ejpam-5639	355	39	gradient	gradient	NOUN
ejpam-5639	355	40	evaluations	evaluation	NOUN
ejpam-5639	355	41	graph	graph	NOUN
ejpam-5639	355	42	figure	figure	NOUN
ejpam-5639	355	43	4	4	NUM
ejpam-5639	355	44	:	:	PUNCT
ejpam-5639	355	45	cpu	cpu	NOUN
ejpam-5639	355	46	time	time	NOUN
ejpam-5639	355	47	graph	graph	NOUN
ejpam-5639	355	48	proposed	propose	VERB
ejpam-5639	355	49	methods	method	NOUN
ejpam-5639	355	50	.	.	PUNCT
ejpam-5639	356	1	as	as	ADP
ejpam-5639	356	2	an	an	DET
ejpam-5639	356	3	example	example	NOUN
ejpam-5639	356	4	of	of	ADP
ejpam-5639	356	5	using	use	VERB
ejpam-5639	356	6	|βk|	|βk|	PROPN
ejpam-5639	356	7	≤	≤	PUNCT
ejpam-5639	356	8	βfr	βfr	PROPN
ejpam-5639	357	1	k	k	NOUN
ejpam-5639	357	2	in	in	ADP
ejpam-5639	357	3	(	(	PUNCT
ejpam-5639	357	4	9	9	NUM
ejpam-5639	357	5	)	)	PUNCT
ejpam-5639	357	6	,	,	PUNCT
ejpam-5639	357	7	we	we	PRON
ejpam-5639	357	8	employ	employ	VERB
ejpam-5639	357	9	βazprp	βazprp	PROPN
ejpam-5639	357	10	k	k	PROPN
ejpam-5639	357	11	as	as	SCONJ
ejpam-5639	357	12	follows	follow	VERB
ejpam-5639	357	13	:	:	PUNCT
ejpam-5639	358	1	dtaprp	dtaprp	PROPN
ejpam-5639	358	2	k	k	PROPN
ejpam-5639	359	1	=	=	PRON
ejpam-5639	359	2	{	{	PUNCT
ejpam-5639	359	3	−∇fk	−∇fk	PROPN
ejpam-5639	359	4	,	,	PUNCT
ejpam-5639	359	5	k	k	PROPN
ejpam-5639	359	6	=	=	SYM
ejpam-5639	359	7	1	1	NUM
ejpam-5639	359	8	,	,	PUNCT
ejpam-5639	359	9	−∇fk	−∇fk	NOUN
ejpam-5639	359	10	+	+	CCONJ
ejpam-5639	359	11	βazprp	βazprp	ADJ
ejpam-5639	359	12	k	k	PROPN
ejpam-5639	359	13	dk−1	dk−1	PROPN
ejpam-5639	360	1	+	+	NUM
ejpam-5639	360	2	δ	δ	PROPN
ejpam-5639	360	3	∇ft	∇ft	NOUN
ejpam-5639	361	1	k	k	PROPN
ejpam-5639	361	2	sk−1	sk−1	PROPN
ejpam-5639	361	3	∥sk−1∥2	∥sk−1∥2	PROPN
ejpam-5639	362	1	sk−1	sk−1	PROPN
ejpam-5639	362	2	,	,	PUNCT
ejpam-5639	362	3	k	k	PROPN
ejpam-5639	362	4	≥	≥	NUM
ejpam-5639	362	5	2	2	NUM
ejpam-5639	362	6	.	.	PUNCT
ejpam-5639	363	1	all	all	DET
ejpam-5639	363	2	computations	computation	NOUN
ejpam-5639	363	3	were	be	AUX
ejpam-5639	363	4	performed	perform	VERB
ejpam-5639	363	5	on	on	ADP
ejpam-5639	363	6	a	a	DET
ejpam-5639	363	7	host	host	NOUN
ejpam-5639	363	8	machine	machine	NOUN
ejpam-5639	363	9	running	run	VERB
ejpam-5639	363	10	the	the	DET
ejpam-5639	363	11	ubuntu	ubuntu	ADJ
ejpam-5639	363	12	20.04	20.04	NUM
ejpam-5639	363	13	operating	operating	NOUN
ejpam-5639	363	14	system	system	NOUN
ejpam-5639	363	15	,	,	PUNCT
ejpam-5639	363	16	equipped	equip	VERB
ejpam-5639	363	17	with	with	ADP
ejpam-5639	363	18	an	an	DET
ejpam-5639	363	19	amd	amd	ADJ
ejpam-5639	363	20	a4	a4	NOUN
ejpam-5639	363	21	-	-	PUNCT
ejpam-5639	363	22	7210	7210	NUM
ejpam-5639	363	23	cpu	cpu	NOUN
ejpam-5639	363	24	and	and	CCONJ
ejpam-5639	363	25	4	4	NUM
ejpam-5639	363	26	gb	gb	NOUN
ejpam-5639	363	27	of	of	ADP
ejpam-5639	363	28	ram	ram	NOUN
ejpam-5639	363	29	.	.	PUNCT
ejpam-5639	364	1	here	here	ADV
ejpam-5639	364	2	,	,	PUNCT
ejpam-5639	364	3	we	we	PRON
ejpam-5639	364	4	compared	compare	VERB
ejpam-5639	364	5	the	the	DET
ejpam-5639	364	6	modified	modify	VERB
ejpam-5639	364	7	search	search	NOUN
ejpam-5639	364	8	directions	direction	NOUN
ejpam-5639	364	9	dhs+ta	dhs+ta	VERB
ejpam-5639	364	10	k	k	NOUN
ejpam-5639	364	11	,	,	PUNCT
ejpam-5639	364	12	dtaprp	dtaprp	PROPN
ejpam-5639	364	13	k	k	PROPN
ejpam-5639	364	14	,	,	PUNCT
ejpam-5639	364	15	dl+	dl+	PROPN
ejpam-5639	364	16	and	and	CCONJ
ejpam-5639	364	17	cg	cg	NOUN
ejpam-5639	364	18	-	-	PUNCT
ejpam-5639	364	19	descent	descent	NOUN
ejpam-5639	364	20	6.8	6.8	NUM
ejpam-5639	364	21	methods	method	NOUN
ejpam-5639	364	22	utilizing	utilize	VERB
ejpam-5639	364	23	a	a	DET
ejpam-5639	364	24	swp	swp	NOUN
ejpam-5639	364	25	line	line	NOUN
ejpam-5639	364	26	search	search	NOUN
ejpam-5639	364	27	in	in	ADP
ejpam-5639	364	28	obtaining	obtain	VERB
ejpam-5639	364	29	the	the	DET
ejpam-5639	364	30	step	step	NOUN
ejpam-5639	364	31	length	length	NOUN
ejpam-5639	364	32	having	have	VERB
ejpam-5639	364	33	σ	σ	NOUN
ejpam-5639	364	34	=	=	NOUN
ejpam-5639	364	35	0.1	0.1	NUM
ejpam-5639	364	36	for	for	ADP
ejpam-5639	364	37	dhs+ta	dhs+ta	PROPN
ejpam-5639	364	38	k	k	PROPN
ejpam-5639	364	39	,	,	PUNCT
ejpam-5639	364	40	dtaprp	dtaprp	PROPN
ejpam-5639	364	41	k	k	PROPN
ejpam-5639	364	42	and	and	CCONJ
ejpam-5639	364	43	dl+	dl+	PROPN
ejpam-5639	364	44	with	with	ADP
ejpam-5639	364	45	δ	δ	PROPN
ejpam-5639	364	46	=	=	NOUN
ejpam-5639	364	47	0.01	0.01	NUM
ejpam-5639	364	48	.	.	PUNCT
ejpam-5639	365	1	we	we	PRON
ejpam-5639	365	2	executed	execute	VERB
ejpam-5639	365	3	the	the	DET
ejpam-5639	365	4	code	code	NOUN
ejpam-5639	365	5	using	use	VERB
ejpam-5639	365	6	the	the	DET
ejpam-5639	365	7	default	default	NOUN
ejpam-5639	365	8	parameters	parameter	NOUN
ejpam-5639	365	9	specified	specify	VERB
ejpam-5639	365	10	by	by	ADP
ejpam-5639	365	11	the	the	DET
ejpam-5639	365	12	authors	author	NOUN
ejpam-5639	365	13	for	for	ADP
ejpam-5639	365	14	cg	cg	NOUN
ejpam-5639	365	15	-	-	PUNCT
ejpam-5639	365	16	descent	descent	NOUN
ejpam-5639	365	17	6.8	6.8	NUM
ejpam-5639	365	18	.	.	PUNCT
ejpam-5639	366	1	the	the	DET
ejpam-5639	366	2	results	result	NOUN
ejpam-5639	366	3	are	be	AUX
ejpam-5639	366	4	illustrated	illustrate	VERB
ejpam-5639	366	5	in	in	ADP
ejpam-5639	366	6	figures	figure	NOUN
ejpam-5639	366	7	5	5	NUM
ejpam-5639	366	8	-	-	SYM
ejpam-5639	366	9	7	7	NUM
ejpam-5639	366	10	,	,	PUNCT
ejpam-5639	366	11	utilizing	utilize	VERB
ejpam-5639	366	12	a	a	DET
ejpam-5639	366	13	performance	performance	NOUN
ejpam-5639	366	14	measure	measure	NOUN
ejpam-5639	366	15	developed	develop	VERB
ejpam-5639	366	16	by	by	ADP
ejpam-5639	366	17	dolan	dolan	PROPN
ejpam-5639	366	18	and	and	CCONJ
ejpam-5639	366	19	more	more	ADJ
ejpam-5639	366	20	[	[	X
ejpam-5639	366	21	5	5	NUM
ejpam-5639	366	22	]	]	PUNCT
ejpam-5639	366	23	.	.	PUNCT
ejpam-5639	367	1	from	from	ADP
ejpam-5639	367	2	figures	figure	NOUN
ejpam-5639	367	3	5	5	NUM
ejpam-5639	367	4	-	-	SYM
ejpam-5639	367	5	7	7	NUM
ejpam-5639	367	6	,	,	PUNCT
ejpam-5639	367	7	it	it	PRON
ejpam-5639	367	8	can	can	AUX
ejpam-5639	367	9	be	be	AUX
ejpam-5639	367	10	observed	observe	VERB
ejpam-5639	367	11	that	that	SCONJ
ejpam-5639	367	12	the	the	DET
ejpam-5639	367	13	new	new	ADJ
ejpam-5639	367	14	search	search	NOUN
ejpam-5639	367	15	directions	direction	NOUN
ejpam-5639	367	16	strongly	strongly	ADV
ejpam-5639	367	17	outperformed	outperform	VERB
ejpam-5639	367	18	dl+	dl+	PROPN
ejpam-5639	367	19	,	,	PUNCT
ejpam-5639	367	20	cg	cg	NOUN
ejpam-5639	367	21	-	-	PUNCT
ejpam-5639	367	22	descent	descent	NOUN
ejpam-5639	367	23	6.8	6.8	NUM
ejpam-5639	367	24	,	,	PUNCT
ejpam-5639	367	25	and	and	CCONJ
ejpam-5639	367	26	dtaprp	dtaprp	PROPN
ejpam-5639	367	27	k	k	PROPN
ejpam-5639	367	28	with	with	ADP
ejpam-5639	367	29	regards	regard	NOUN
ejpam-5639	367	30	to	to	ADP
ejpam-5639	367	31	the	the	DET
ejpam-5639	367	32	function	function	NOUN
ejpam-5639	367	33	evaluation	evaluation	NOUN
ejpam-5639	367	34	,	,	PUNCT
ejpam-5639	367	35	number	number	NOUN
ejpam-5639	367	36	of	of	ADP
ejpam-5639	367	37	iterations	iteration	NOUN
ejpam-5639	367	38	as	as	ADV
ejpam-5639	367	39	well	well	ADV
ejpam-5639	367	40	as	as	ADP
ejpam-5639	367	41	cpu	cpu	VERB
ejpam-5639	367	42	time	time	NOUN
ejpam-5639	367	43	.	.	PUNCT
ejpam-5639	368	1	a.	a.	NOUN
ejpam-5639	368	2	alhawarat	alhawarat	PROPN
ejpam-5639	368	3	et	et	PROPN
ejpam-5639	368	4	al	al	PROPN
ejpam-5639	368	5	.	.	PUNCT
ejpam-5639	368	6	/	/	SYM
ejpam-5639	368	7	eur	eur	PROPN
ejpam-5639	368	8	.	.	PUNCT
ejpam-5639	369	1	j.	j.	PROPN
ejpam-5639	369	2	pure	pure	PROPN
ejpam-5639	369	3	appl	appl	PROPN
ejpam-5639	369	4	.	.	PROPN
ejpam-5639	369	5	math	math	PROPN
ejpam-5639	369	6	,	,	PUNCT
ejpam-5639	369	7	18	18	NUM
ejpam-5639	369	8	(	(	PUNCT
ejpam-5639	369	9	1	1	NUM
ejpam-5639	369	10	)	)	PUNCT
ejpam-5639	369	11	(	(	PUNCT
ejpam-5639	369	12	2025	2025	NUM
ejpam-5639	369	13	)	)	PUNCT
ejpam-5639	369	14	,	,	PUNCT
ejpam-5639	369	15	5639	5639	NUM
ejpam-5639	369	16	14	14	NUM
ejpam-5639	369	17	of	of	ADP
ejpam-5639	369	18	27	27	NUM
ejpam-5639	369	19	figure	figure	NOUN
ejpam-5639	369	20	5	5	NUM
ejpam-5639	369	21	:	:	PUNCT
ejpam-5639	369	22	number	number	NOUN
ejpam-5639	369	23	of	of	ADP
ejpam-5639	369	24	iteration	iteration	NOUN
ejpam-5639	369	25	graph	graph	NOUN
ejpam-5639	369	26	figure	figure	NOUN
ejpam-5639	369	27	6	6	NUM
ejpam-5639	369	28	:	:	PUNCT
ejpam-5639	369	29	number	number	NOUN
ejpam-5639	369	30	of	of	ADP
ejpam-5639	369	31	function	function	NOUN
ejpam-5639	369	32	evaluations	evaluation	NOUN
ejpam-5639	369	33	graph	graph	VERB
ejpam-5639	369	34	figure	figure	NOUN
ejpam-5639	369	35	7	7	NUM
ejpam-5639	369	36	:	:	PUNCT
ejpam-5639	369	37	cpu	cpu	NOUN
ejpam-5639	369	38	time	time	NOUN
ejpam-5639	369	39	graph	graph	NOUN
ejpam-5639	369	40	in	in	ADP
ejpam-5639	369	41	figure	figure	NOUN
ejpam-5639	369	42	8	8	NUM
ejpam-5639	370	1	,	,	PUNCT
ejpam-5639	370	2	we	we	PRON
ejpam-5639	370	3	present	present	VERB
ejpam-5639	370	4	the	the	DET
ejpam-5639	370	5	function	function	NOUN
ejpam-5639	370	6	number	number	NOUN
ejpam-5639	370	7	that	that	PRON
ejpam-5639	370	8	is	be	AUX
ejpam-5639	370	9	listed	list	VERB
ejpam-5639	370	10	in	in	ADP
ejpam-5639	370	11	the	the	DET
ejpam-5639	370	12	table	table	NOUN
ejpam-5639	370	13	2	2	NUM
ejpam-5639	370	14	(	(	PUNCT
ejpam-5639	370	15	see	see	VERB
ejpam-5639	370	16	in	in	ADP
ejpam-5639	370	17	appendix	appendix	NOUN
ejpam-5639	370	18	below	below	ADV
ejpam-5639	370	19	)	)	PUNCT
ejpam-5639	370	20	with	with	ADP
ejpam-5639	370	21	its	its	PRON
ejpam-5639	370	22	gradient	gradient	NOUN
ejpam-5639	370	23	for	for	ADP
ejpam-5639	370	24	dhs+ta	dhs+ta	NOUN
ejpam-5639	370	25	k	k	PROPN
ejpam-5639	370	26	.	.	PUNCT
ejpam-5639	371	1	we	we	PRON
ejpam-5639	371	2	observe	observe	VERB
ejpam-5639	371	3	that	that	SCONJ
ejpam-5639	371	4	the	the	DET
ejpam-5639	371	5	number	number	NOUN
ejpam-5639	371	6	of	of	ADP
ejpam-5639	371	7	success	success	NOUN
ejpam-5639	371	8	functions	function	NOUN
ejpam-5639	371	9	is	be	AUX
ejpam-5639	371	10	more	more	ADJ
ejpam-5639	371	11	than	than	ADP
ejpam-5639	371	12	99	99	NUM
ejpam-5639	371	13	%	%	NOUN
ejpam-5639	371	14	.	.	PUNCT
ejpam-5639	372	1	figure	figure	NOUN
ejpam-5639	372	2	8	8	NUM
ejpam-5639	372	3	:	:	PUNCT
ejpam-5639	372	4	function	function	NOUN
ejpam-5639	372	5	number	number	NOUN
ejpam-5639	372	6	with	with	ADP
ejpam-5639	372	7	the	the	DET
ejpam-5639	372	8	gradient	gradient	NOUN
ejpam-5639	372	9	for	for	ADP
ejpam-5639	372	10	hs+ta	hs+ta	NOUN
ejpam-5639	372	11	method	method	NOUN
ejpam-5639	372	12	.	.	PUNCT
ejpam-5639	373	1	a.	a.	NOUN
ejpam-5639	373	2	alhawarat	alhawarat	PROPN
ejpam-5639	373	3	et	et	PROPN
ejpam-5639	373	4	al	al	PROPN
ejpam-5639	373	5	.	.	PUNCT
ejpam-5639	373	6	/	/	SYM
ejpam-5639	373	7	eur	eur	PROPN
ejpam-5639	373	8	.	.	PUNCT
ejpam-5639	374	1	j.	j.	PROPN
ejpam-5639	374	2	pure	pure	PROPN
ejpam-5639	374	3	appl	appl	PROPN
ejpam-5639	374	4	.	.	PROPN
ejpam-5639	374	5	math	math	PROPN
ejpam-5639	374	6	,	,	PUNCT
ejpam-5639	374	7	18	18	NUM
ejpam-5639	374	8	(	(	PUNCT
ejpam-5639	374	9	1	1	NUM
ejpam-5639	374	10	)	)	PUNCT
ejpam-5639	374	11	(	(	PUNCT
ejpam-5639	374	12	2025	2025	NUM
ejpam-5639	374	13	)	)	PUNCT
ejpam-5639	374	14	,	,	PUNCT
ejpam-5639	374	15	5639	5639	NUM
ejpam-5639	374	16	15	15	NUM
ejpam-5639	374	17	of	of	ADP
ejpam-5639	374	18	27	27	NUM
ejpam-5639	374	19	6	6	NUM
ejpam-5639	374	20	.	.	PUNCT
ejpam-5639	375	1	application	application	NOUN
ejpam-5639	375	2	on	on	ADP
ejpam-5639	375	3	pi	pi	NOUN
ejpam-5639	375	4	-	-	PUNCT
ejpam-5639	375	5	electric	electric	ADJ
ejpam-5639	375	6	circuit	circuit	NOUN
ejpam-5639	375	7	figure	figure	NOUN
ejpam-5639	375	8	9	9	NUM
ejpam-5639	375	9	depicts	depict	NOUN
ejpam-5639	375	10	a	a	DET
ejpam-5639	375	11	pi	pi	NOUN
ejpam-5639	375	12	-	-	PUNCT
ejpam-5639	375	13	electric	electric	ADJ
ejpam-5639	375	14	circuit	circuit	NOUN
ejpam-5639	375	15	,	,	PUNCT
ejpam-5639	375	16	which	which	PRON
ejpam-5639	375	17	is	be	AUX
ejpam-5639	375	18	utilized	utilize	VERB
ejpam-5639	375	19	as	as	ADP
ejpam-5639	375	20	the	the	DET
ejpam-5639	375	21	output	output	NOUN
ejpam-5639	375	22	network	network	NOUN
ejpam-5639	375	23	of	of	ADP
ejpam-5639	375	24	automatically	automatically	ADV
ejpam-5639	375	25	tuned	tune	VERB
ejpam-5639	375	26	transmitters	transmitter	NOUN
ejpam-5639	375	27	[	[	X
ejpam-5639	375	28	19	19	NUM
ejpam-5639	375	29	]	]	PUNCT
ejpam-5639	375	30	.	.	PUNCT
ejpam-5639	376	1	in	in	ADP
ejpam-5639	376	2	this	this	DET
ejpam-5639	376	3	circuit	circuit	NOUN
ejpam-5639	376	4	,	,	PUNCT
ejpam-5639	376	5	the	the	DET
ejpam-5639	376	6	tuning	tune	VERB
ejpam-5639	376	7	capacitor	capacitor	NOUN
ejpam-5639	376	8	c1	c1	PROPN
ejpam-5639	376	9	as	as	ADV
ejpam-5639	376	10	well	well	ADV
ejpam-5639	376	11	as	as	ADP
ejpam-5639	376	12	the	the	DET
ejpam-5639	376	13	loading	loading	NOUN
ejpam-5639	376	14	capacitor	capacitor	NOUN
ejpam-5639	376	15	c2	c2	PROPN
ejpam-5639	376	16	are	be	AUX
ejpam-5639	376	17	adjusted	adjust	VERB
ejpam-5639	376	18	using	use	VERB
ejpam-5639	376	19	semi	semi	ADJ
ejpam-5639	376	20	-	-	ADJ
ejpam-5639	376	21	independent	independent	ADJ
ejpam-5639	376	22	control	control	NOUN
ejpam-5639	376	23	loops	loop	NOUN
ejpam-5639	376	24	.	.	PUNCT
ejpam-5639	377	1	here	here	ADV
ejpam-5639	377	2	,	,	PUNCT
ejpam-5639	377	3	the	the	DET
ejpam-5639	377	4	objectivesfor	objectivesfor	ADP
ejpam-5639	377	5	this	this	DET
ejpam-5639	377	6	electric	electric	ADJ
ejpam-5639	377	7	circuit	circuit	NOUN
ejpam-5639	377	8	are	be	AUX
ejpam-5639	377	9	given	give	VERB
ejpam-5639	377	10	below	below	ADP
ejpam-5639	377	11	:	:	PUNCT
ejpam-5639	377	12	1	1	X
ejpam-5639	377	13	.	.	X
ejpam-5639	377	14	to	to	PART
ejpam-5639	377	15	achieve	achieve	VERB
ejpam-5639	377	16	a	a	DET
ejpam-5639	377	17	180	180	NUM
ejpam-5639	377	18	◦	◦	NOUN
ejpam-5639	377	19	phase	phase	NOUN
ejpam-5639	377	20	shift	shift	NOUN
ejpam-5639	377	21	between	between	ADP
ejpam-5639	377	22	i1(jw	i1(jw	NUM
ejpam-5639	377	23	)	)	PUNCT
ejpam-5639	377	24	and	and	CCONJ
ejpam-5639	377	25	the	the	DET
ejpam-5639	377	26	voltage	voltage	NOUN
ejpam-5639	377	27	across	across	ADP
ejpam-5639	377	28	c1	c1	PROPN
ejpam-5639	377	29	at	at	ADP
ejpam-5639	377	30	a	a	DET
ejpam-5639	377	31	given	give	VERB
ejpam-5639	377	32	carrier	carrier	NOUN
ejpam-5639	377	33	frequency	frequency	PROPN
ejpam-5639	377	34	ω	ω	PROPN
ejpam-5639	377	35	.	.	PROPN
ejpam-5639	377	36	2	2	NUM
ejpam-5639	377	37	.	.	PUNCT
ejpam-5639	377	38	to	to	PART
ejpam-5639	377	39	attain	attain	VERB
ejpam-5639	377	40	a	a	DET
ejpam-5639	377	41	specific	specific	ADJ
ejpam-5639	377	42	level	level	NOUN
ejpam-5639	377	43	of	of	ADP
ejpam-5639	377	44	power	power	NOUN
ejpam-5639	377	45	output	output	NOUN
ejpam-5639	377	46	to	to	ADP
ejpam-5639	377	47	an	an	DET
ejpam-5639	377	48	antenna	antenna	NOUN
ejpam-5639	377	49	system	system	NOUN
ejpam-5639	377	50	.	.	PUNCT
ejpam-5639	378	1	3	3	X
ejpam-5639	378	2	.	.	PUNCT
ejpam-5639	378	3	to	to	PART
ejpam-5639	378	4	determine	determine	VERB
ejpam-5639	378	5	the	the	DET
ejpam-5639	378	6	values	value	NOUN
ejpam-5639	378	7	of	of	ADP
ejpam-5639	378	8	c1	c1	PROPN
ejpam-5639	378	9	as	as	ADV
ejpam-5639	378	10	well	well	ADV
ejpam-5639	378	11	as	as	ADP
ejpam-5639	378	12	c2	c2	PROPN
ejpam-5639	378	13	that	that	PRON
ejpam-5639	378	14	maximize	maximize	VERB
ejpam-5639	378	15	the	the	DET
ejpam-5639	378	16	power	power	NOUN
ejpam-5639	378	17	delivered	deliver	VERB
ejpam-5639	378	18	to	to	ADP
ejpam-5639	378	19	r2	r2	PROPN
ejpam-5639	378	20	.	.	PUNCT
ejpam-5639	379	1	suppose	suppose	VERB
ejpam-5639	379	2	the	the	DET
ejpam-5639	379	3	power	power	NOUN
ejpam-5639	379	4	output	output	NOUN
ejpam-5639	379	5	across	across	ADP
ejpam-5639	379	6	r2	r2	PROPN
ejpam-5639	379	7	be	be	AUX
ejpam-5639	379	8	expressed	express	VERB
ejpam-5639	379	9	by	by	ADP
ejpam-5639	379	10	p0	p0	NOUN
ejpam-5639	379	11	given	give	VERB
ejpam-5639	379	12	below	below	ADV
ejpam-5639	379	13	:	:	PUNCT
ejpam-5639	380	1	p0	p0	NOUN
ejpam-5639	380	2	=	=	SYM
ejpam-5639	380	3	|v0(jw)|2	|v0(jw)|2	PROPN
ejpam-5639	380	4	r2	r2	NOUN
ejpam-5639	380	5	let	let	VERB
ejpam-5639	380	6	values	value	NOUN
ejpam-5639	380	7	of	of	ADP
ejpam-5639	380	8	τ1	τ1	NOUN
ejpam-5639	380	9	=	=	SYM
ejpam-5639	380	10	r1c1	r1c1	NOUN
ejpam-5639	380	11	and	and	CCONJ
ejpam-5639	380	12	τ2	τ2	NOUN
ejpam-5639	380	13	=	=	SYM
ejpam-5639	380	14	r2c2	r2c2	PROPN
ejpam-5639	380	15	.	.	PUNCT
ejpam-5639	381	1	then	then	ADV
ejpam-5639	381	2	,	,	PUNCT
ejpam-5639	381	3	from	from	ADP
ejpam-5639	381	4	the	the	DET
ejpam-5639	381	5	circuit	circuit	NOUN
ejpam-5639	381	6	analysis	analysis	NOUN
ejpam-5639	381	7	,	,	PUNCT
ejpam-5639	381	8	we	we	PRON
ejpam-5639	381	9	have	have	VERB
ejpam-5639	381	10	v0(s	v0(s	NOUN
ejpam-5639	381	11	)	)	PUNCT
ejpam-5639	381	12	=	=	SYM
ejpam-5639	381	13	−r1r2i1(s	−r1r2i1(s	ADJ
ejpam-5639	381	14	)	)	PUNCT
ejpam-5639	381	15	s3(lτ1τ1	s3(lτ1τ1	NOUN
ejpam-5639	381	16	)	)	PUNCT
ejpam-5639	382	1	+	+	NUM
ejpam-5639	382	2	s2l(τ1	s2l(τ1	NOUN
ejpam-5639	382	3	+	+	CCONJ
ejpam-5639	382	4	τ2	τ2	NOUN
ejpam-5639	382	5	)	)	PUNCT
ejpam-5639	382	6	+	+	NUM
ejpam-5639	382	7	s(l+r1τ2	s(l+r1τ2	NOUN
ejpam-5639	382	8	+	+	ADJ
ejpam-5639	382	9	r2τ1	r2τ1	X
ejpam-5639	382	10	)	)	PUNCT
ejpam-5639	382	11	+	+	VERB
ejpam-5639	382	12	r1	r1	ADJ
ejpam-5639	382	13	+	+	PROPN
ejpam-5639	382	14	r2	r2	PROPN
ejpam-5639	382	15	figure	figure	NOUN
ejpam-5639	382	16	9	9	NUM
ejpam-5639	382	17	:	:	PUNCT
ejpam-5639	382	18	pi	pi	NOUN
ejpam-5639	382	19	-	-	PUNCT
ejpam-5639	382	20	electric	electric	ADJ
ejpam-5639	382	21	circuit	circuit	NOUN
ejpam-5639	382	22	[	[	X
ejpam-5639	382	23	8	8	NUM
ejpam-5639	382	24	]	]	X
ejpam-5639	382	25	.	.	PUNCT
ejpam-5639	383	1	v0(jw	v0(jw	X
ejpam-5639	383	2	)	)	PUNCT
ejpam-5639	383	3	=	=	PRON
ejpam-5639	383	4	i1r1√	i1r1√	X
ejpam-5639	384	1	re2	re2	PROPN
ejpam-5639	385	1	+	+	CCONJ
ejpam-5639	386	1	im2	im2	PROPN
ejpam-5639	386	2	where	where	SCONJ
ejpam-5639	386	3	i1	i1	PROPN
ejpam-5639	386	4	≡	≡	PROPN
ejpam-5639	386	5	|i1(jw)|	|i1(jw)|	VERB
ejpam-5639	386	6	re	re	NOUN
ejpam-5639	386	7	=	=	SYM
ejpam-5639	386	8	1	1	NUM
ejpam-5639	386	9	+	+	NUM
ejpam-5639	386	10	r1	r1	PROPN
ejpam-5639	386	11	r2	r2	PROPN
ejpam-5639	386	12	−	−	PROPN
ejpam-5639	386	13	w2lτ1	w2lτ1	PROPN
ejpam-5639	386	14	r2	r2	PROPN
ejpam-5639	386	15	−	−	PROPN
ejpam-5639	386	16	w2lτ2	w2lτ2	ADJ
ejpam-5639	386	17	r2	r2	PROPN
ejpam-5639	387	1	i	i	PRON
ejpam-5639	387	2	m	m	VERB
ejpam-5639	387	3	=	=	VERB
ejpam-5639	387	4	wl	wl	NOUN
ejpam-5639	387	5	r2	r2	PROPN
ejpam-5639	387	6	+	+	CCONJ
ejpam-5639	387	7	r1wτ2	r1wτ2	ADJ
ejpam-5639	387	8	r2	r2	PROPN
ejpam-5639	387	9	+	+	CCONJ
ejpam-5639	387	10	wτ1	wτ1	PROPN
ejpam-5639	387	11	−	−	PROPN
ejpam-5639	387	12	w3lτ1τ2	w3lτ1τ2	PROPN
ejpam-5639	387	13	r2	r2	PROPN
ejpam-5639	387	14	to	to	PART
ejpam-5639	387	15	find	find	VERB
ejpam-5639	387	16	p0	p0	NOUN
ejpam-5639	387	17	,	,	PUNCT
ejpam-5639	387	18	minimize	minimize	VERB
ejpam-5639	387	19	f	f	PRON
ejpam-5639	387	20	such	such	ADJ
ejpam-5639	388	1	that	that	SCONJ
ejpam-5639	388	2	f	f	PROPN
ejpam-5639	388	3	=	=	PUNCT
ejpam-5639	389	1	[	[	X
ejpam-5639	389	2	re(v0(jw	re(v0(jw	NOUN
ejpam-5639	389	3	)	)	PUNCT
ejpam-5639	389	4	)	)	PUNCT
ejpam-5639	389	5	]	]	PUNCT
ejpam-5639	390	1	2	2	NUM
ejpam-5639	390	2	+	+	CCONJ
ejpam-5639	390	3	[	[	X
ejpam-5639	390	4	im(v0(jw	im(v0(jw	X
ejpam-5639	390	5	)	)	PUNCT
ejpam-5639	390	6	)	)	PUNCT
ejpam-5639	390	7	]	]	PUNCT
ejpam-5639	391	1	2	2	NUM
ejpam-5639	391	2	having	have	VERB
ejpam-5639	391	3	dimensionless	dimensionless	NOUN
ejpam-5639	391	4	parameters	parameter	NOUN
ejpam-5639	391	5	stated	state	VERB
ejpam-5639	391	6	below	below	ADV
ejpam-5639	391	7	:	:	PUNCT
ejpam-5639	391	8	a	a	DET
ejpam-5639	391	9	=	=	PUNCT
ejpam-5639	391	10	r1	r1	PROPN
ejpam-5639	391	11	r2	r2	PROPN
ejpam-5639	391	12	b	b	PROPN
ejpam-5639	391	13	=	=	PUNCT
ejpam-5639	391	14	wl	wl	PROPN
ejpam-5639	391	15	r2	r2	PROPN
ejpam-5639	391	16	x1	x1	PROPN
ejpam-5639	392	1	=	=	PUNCT
ejpam-5639	392	2	wτ1	wτ1	PROPN
ejpam-5639	392	3	a.	a.	PROPN
ejpam-5639	392	4	alhawarat	alhawarat	PROPN
ejpam-5639	392	5	et	et	PROPN
ejpam-5639	392	6	al	al	PROPN
ejpam-5639	392	7	.	.	PUNCT
ejpam-5639	392	8	/	/	SYM
ejpam-5639	392	9	eur	eur	PROPN
ejpam-5639	392	10	.	.	PUNCT
ejpam-5639	393	1	j.	j.	PROPN
ejpam-5639	393	2	pure	pure	PROPN
ejpam-5639	393	3	appl	appl	PROPN
ejpam-5639	393	4	.	.	PROPN
ejpam-5639	393	5	math	math	PROPN
ejpam-5639	393	6	,	,	PUNCT
ejpam-5639	393	7	18	18	NUM
ejpam-5639	393	8	(	(	PUNCT
ejpam-5639	393	9	1	1	NUM
ejpam-5639	393	10	)	)	PUNCT
ejpam-5639	393	11	(	(	PUNCT
ejpam-5639	393	12	2025	2025	NUM
ejpam-5639	393	13	)	)	PUNCT
ejpam-5639	393	14	,	,	PUNCT
ejpam-5639	393	15	5639	5639	NUM
ejpam-5639	393	16	16	16	NUM
ejpam-5639	393	17	of	of	ADP
ejpam-5639	393	18	27	27	NUM
ejpam-5639	393	19	x2	x2	NOUN
ejpam-5639	393	20	=	=	PUNCT
ejpam-5639	393	21	wτ2	wτ2	VERB
ejpam-5639	393	22	for	for	ADP
ejpam-5639	393	23	the	the	DET
ejpam-5639	393	24	case	case	NOUN
ejpam-5639	393	25	when	when	SCONJ
ejpam-5639	393	26	a	a	DET
ejpam-5639	393	27	=	=	SYM
ejpam-5639	393	28	10	10	NUM
ejpam-5639	393	29	and	and	CCONJ
ejpam-5639	393	30	b	b	NOUN
ejpam-5639	393	31	=	=	SYM
ejpam-5639	393	32	1	1	NUM
ejpam-5639	393	33	,	,	PUNCT
ejpam-5639	393	34	the	the	DET
ejpam-5639	393	35	objective	objective	ADJ
ejpam-5639	393	36	function	function	NOUN
ejpam-5639	393	37	that	that	PRON
ejpam-5639	393	38	we	we	PRON
ejpam-5639	393	39	want	want	VERB
ejpam-5639	393	40	to	to	PART
ejpam-5639	393	41	minimize	minimize	VERB
ejpam-5639	393	42	is	be	AUX
ejpam-5639	393	43	given	give	VERB
ejpam-5639	393	44	by	by	ADP
ejpam-5639	393	45	:	:	PUNCT
ejpam-5639	393	46	f(x1	f(x1	ADJ
ejpam-5639	393	47	,	,	PUNCT
ejpam-5639	393	48	x2	x2	PROPN
ejpam-5639	393	49	)	)	PUNCT
ejpam-5639	393	50	=	=	SYM
ejpam-5639	393	51	(	(	PUNCT
ejpam-5639	393	52	11−	11−	NUM
ejpam-5639	393	53	x1	x1	NUM
ejpam-5639	393	54	−	−	PROPN
ejpam-5639	393	55	x2	x2	PROPN
ejpam-5639	393	56	)	)	PUNCT
ejpam-5639	393	57	2	2	NUM
ejpam-5639	393	58	+	+	CCONJ
ejpam-5639	393	59	(	(	PUNCT
ejpam-5639	393	60	1	1	NUM
ejpam-5639	393	61	+	+	NUM
ejpam-5639	393	62	10x2	10x2	NUM
ejpam-5639	393	63	+	+	CCONJ
ejpam-5639	393	64	x1	x1	NUM
ejpam-5639	393	65	−	−	NOUN
ejpam-5639	393	66	x1x2	x1x2	SYM
ejpam-5639	393	67	)	)	PUNCT
ejpam-5639	393	68	2	2	X
ejpam-5639	393	69	.	.	PUNCT
ejpam-5639	394	1	its	its	PRON
ejpam-5639	394	2	graph	graph	NOUN
ejpam-5639	394	3	is	be	AUX
ejpam-5639	394	4	shown	show	VERB
ejpam-5639	394	5	in	in	ADP
ejpam-5639	394	6	figure	figure	NOUN
ejpam-5639	394	7	10	10	NUM
ejpam-5639	394	8	.	.	PUNCT
ejpam-5639	395	1	figure	figure	VERB
ejpam-5639	395	2	10	10	NUM
ejpam-5639	395	3	:	:	PUNCT
ejpam-5639	395	4	graph	graph	NOUN
ejpam-5639	395	5	of	of	ADP
ejpam-5639	395	6	f(x1	f(x1	ADJ
ejpam-5639	395	7	,	,	PUNCT
ejpam-5639	395	8	x2	x2	PROPN
ejpam-5639	395	9	)	)	PUNCT
ejpam-5639	395	10	by	by	ADP
ejpam-5639	395	11	using	use	VERB
ejpam-5639	395	12	matlab	matlab	PROPN
ejpam-5639	395	13	.	.	PUNCT
ejpam-5639	396	1	by	by	ADP
ejpam-5639	396	2	using	use	VERB
ejpam-5639	396	3	algorithm	algorithm	NOUN
ejpam-5639	396	4	1	1	NUM
ejpam-5639	396	5	,	,	PUNCT
ejpam-5639	396	6	we	we	PRON
ejpam-5639	396	7	found	find	VERB
ejpam-5639	396	8	that	that	SCONJ
ejpam-5639	396	9	:	:	PUNCT
ejpam-5639	396	10	x1	x1	PROPN
ejpam-5639	396	11	=	=	SYM
ejpam-5639	396	12	7	7	NUM
ejpam-5639	396	13	,	,	PUNCT
ejpam-5639	396	14	x2	x2	NOUN
ejpam-5639	396	15	=	=	PUNCT
ejpam-5639	396	16	−2	−2	NOUN
ejpam-5639	396	17	,	,	PUNCT
ejpam-5639	396	18	with	with	ADP
ejpam-5639	396	19	function	function	NOUN
ejpam-5639	396	20	value	value	NOUN
ejpam-5639	396	21	40	40	NUM
ejpam-5639	396	22	.	.	PUNCT
ejpam-5639	397	1	7	7	X
ejpam-5639	397	2	.	.	X
ejpam-5639	397	3	application	application	NOUN
ejpam-5639	397	4	on	on	ADP
ejpam-5639	397	5	image	image	NOUN
ejpam-5639	397	6	restoration	restoration	NOUN
ejpam-5639	397	7	among	among	ADP
ejpam-5639	397	8	the	the	DET
ejpam-5639	397	9	important	important	ADJ
ejpam-5639	397	10	applications	application	NOUN
ejpam-5639	397	11	of	of	ADP
ejpam-5639	397	12	the	the	DET
ejpam-5639	397	13	cg	cg	NOUN
ejpam-5639	397	14	method	method	NOUN
ejpam-5639	397	15	is	be	AUX
ejpam-5639	397	16	restoring	restore	VERB
ejpam-5639	397	17	damaged	damage	VERB
ejpam-5639	397	18	images	image	NOUN
ejpam-5639	397	19	.	.	PUNCT
ejpam-5639	398	1	in	in	ADP
ejpam-5639	398	2	this	this	DET
ejpam-5639	398	3	study	study	NOUN
ejpam-5639	398	4	,	,	PUNCT
ejpam-5639	398	5	we	we	PRON
ejpam-5639	398	6	applied	apply	VERB
ejpam-5639	398	7	gaussian	gaussian	ADJ
ejpam-5639	398	8	noise	noise	NOUN
ejpam-5639	398	9	having	have	VERB
ejpam-5639	398	10	an	an	DET
ejpam-5639	398	11	sd	sd	NOUN
ejpam-5639	398	12	of	of	ADP
ejpam-5639	398	13	25	25	NUM
ejpam-5639	398	14	%	%	NOUN
ejpam-5639	398	15	to	to	ADP
ejpam-5639	398	16	the	the	DET
ejpam-5639	398	17	original	original	ADJ
ejpam-5639	398	18	images	image	NOUN
ejpam-5639	398	19	presented	present	VERB
ejpam-5639	398	20	in	in	ADP
ejpam-5639	398	21	table	table	NOUN
ejpam-5639	398	22	3	3	NUM
ejpam-5639	398	23	and	and	CCONJ
ejpam-5639	398	24	then	then	ADV
ejpam-5639	398	25	used	use	VERB
ejpam-5639	398	26	algorithm	algorithm	NOUN
ejpam-5639	398	27	1	1	NUM
ejpam-5639	398	28	to	to	PART
ejpam-5639	398	29	restore	restore	VERB
ejpam-5639	398	30	these	these	DET
ejpam-5639	398	31	images	image	NOUN
ejpam-5639	398	32	.	.	PUNCT
ejpam-5639	399	1	to	to	PART
ejpam-5639	399	2	illustrate	illustrate	VERB
ejpam-5639	399	3	the	the	DET
ejpam-5639	399	4	efficacy	efficacy	NOUN
ejpam-5639	399	5	of	of	ADP
ejpam-5639	399	6	the	the	DET
ejpam-5639	399	7	suggested	suggest	VERB
ejpam-5639	399	8	method	method	NOUN
ejpam-5639	399	9	(	(	PUNCT
ejpam-5639	399	10	hs+ta	hs+ta	NOUN
ejpam-5639	399	11	)	)	PUNCT
ejpam-5639	399	12	,	,	PUNCT
ejpam-5639	399	13	we	we	PRON
ejpam-5639	399	14	compared	compare	VERB
ejpam-5639	399	15	algorithm	algorithm	NOUN
ejpam-5639	399	16	1	1	NUM
ejpam-5639	399	17	with	with	ADP
ejpam-5639	399	18	cg	cg	NOUN
ejpam-5639	399	19	-	-	PUNCT
ejpam-5639	399	20	descent	descent	NOUN
ejpam-5639	399	21	6.8	6.8	NUM
ejpam-5639	399	22	and	and	CCONJ
ejpam-5639	399	23	dl+	dl+	VERB
ejpam-5639	399	24	with	with	ADP
ejpam-5639	399	25	regards	regard	NOUN
ejpam-5639	399	26	to	to	ADP
ejpam-5639	399	27	the	the	DET
ejpam-5639	399	28	number	number	NOUN
ejpam-5639	399	29	of	of	ADP
ejpam-5639	399	30	iterations	iteration	NOUN
ejpam-5639	399	31	,	,	PUNCT
ejpam-5639	399	32	cpu	cpu	NOUN
ejpam-5639	399	33	time	time	NOUN
ejpam-5639	399	34	,	,	PUNCT
ejpam-5639	399	35	as	as	ADV
ejpam-5639	399	36	well	well	ADV
ejpam-5639	399	37	as	as	ADP
ejpam-5639	399	38	rmse	rmse	NOUN
ejpam-5639	399	39	.	.	PUNCT
ejpam-5639	400	1	moreover	moreover	ADV
ejpam-5639	400	2	,	,	PUNCT
ejpam-5639	400	3	the	the	DET
ejpam-5639	400	4	rmse	rmse	NOUN
ejpam-5639	400	5	between	between	ADP
ejpam-5639	400	6	the	the	DET
ejpam-5639	400	7	restored	restore	VERB
ejpam-5639	400	8	image	image	NOUN
ejpam-5639	400	9	as	as	ADV
ejpam-5639	400	10	well	well	ADV
ejpam-5639	400	11	as	as	ADP
ejpam-5639	400	12	the	the	DET
ejpam-5639	400	13	original	original	ADJ
ejpam-5639	400	14	true	true	ADJ
ejpam-5639	400	15	image	image	NOUN
ejpam-5639	400	16	was	be	AUX
ejpam-5639	400	17	used	use	VERB
ejpam-5639	400	18	to	to	PART
ejpam-5639	400	19	evaluate	evaluate	VERB
ejpam-5639	400	20	the	the	DET
ejpam-5639	400	21	restoration	restoration	NOUN
ejpam-5639	400	22	quality	quality	NOUN
ejpam-5639	400	23	.	.	PUNCT
ejpam-5639	401	1	rmse	rmse	NOUN
ejpam-5639	402	1	=	=	SYM
ejpam-5639	402	2	∥τ	∥τ	PROPN
ejpam-5639	402	3	−	−	NOUN
ejpam-5639	402	4	τk∥2	τk∥2	NUM
ejpam-5639	402	5	∥τ∥	∥τ∥	NOUN
ejpam-5639	402	6	.	.	PUNCT
ejpam-5639	403	1	the	the	DET
ejpam-5639	403	2	restored	restore	VERB
ejpam-5639	403	3	image	image	NOUN
ejpam-5639	403	4	is	be	AUX
ejpam-5639	403	5	expressed	express	VERB
ejpam-5639	403	6	by	by	ADP
ejpam-5639	403	7	τk	τk	ADP
ejpam-5639	403	8	,	,	PUNCT
ejpam-5639	403	9	while	while	SCONJ
ejpam-5639	403	10	the	the	DET
ejpam-5639	403	11	true	true	ADJ
ejpam-5639	403	12	image	image	NOUN
ejpam-5639	403	13	byτ	byτ	NOUN
ejpam-5639	403	14	.	.	PUNCT
ejpam-5639	404	1	moreover	moreover	ADV
ejpam-5639	404	2	,	,	PUNCT
ejpam-5639	404	3	the	the	DET
ejpam-5639	404	4	rmse	rmse	NOUN
ejpam-5639	404	5	is	be	AUX
ejpam-5639	404	6	used	use	VERB
ejpam-5639	404	7	to	to	PART
ejpam-5639	404	8	assess	assess	VERB
ejpam-5639	404	9	the	the	DET
ejpam-5639	404	10	restored	restore	VERB
ejpam-5639	404	11	image	image	NOUN
ejpam-5639	404	12	’s	’s	PART
ejpam-5639	404	13	quality	quality	NOUN
ejpam-5639	404	14	,	,	PUNCT
ejpam-5639	404	15	with	with	ADP
ejpam-5639	404	16	lower	low	ADJ
ejpam-5639	404	17	rmse	rmse	ADJ
ejpam-5639	404	18	values	value	NOUN
ejpam-5639	404	19	indicating	indicate	VERB
ejpam-5639	404	20	higher	high	ADJ
ejpam-5639	404	21	image	image	NOUN
ejpam-5639	404	22	quality	quality	NOUN
ejpam-5639	404	23	.	.	PUNCT
ejpam-5639	405	1	the	the	DET
ejpam-5639	405	2	data	datum	NOUN
ejpam-5639	405	3	presented	present	VERB
ejpam-5639	405	4	in	in	ADP
ejpam-5639	405	5	table	table	NOUN
ejpam-5639	405	6	2	2	NUM
ejpam-5639	405	7	demonstrates	demonstrate	VERB
ejpam-5639	405	8	that	that	SCONJ
ejpam-5639	405	9	the	the	DET
ejpam-5639	405	10	new	new	ADJ
ejpam-5639	405	11	search	search	NOUN
ejpam-5639	405	12	direction	direction	NOUN
ejpam-5639	405	13	surpasses	surpass	VERB
ejpam-5639	405	14	the	the	DET
ejpam-5639	405	15	performance	performance	NOUN
ejpam-5639	405	16	of	of	ADP
ejpam-5639	405	17	cg	cg	NOUN
ejpam-5639	405	18	-	-	PUNCT
ejpam-5639	405	19	descent	descent	NOUN
ejpam-5639	405	20	6.8	6.8	NUM
ejpam-5639	405	21	and	and	CCONJ
ejpam-5639	405	22	dl+	dl+	NOUN
ejpam-5639	405	23	in	in	ADP
ejpam-5639	405	24	several	several	ADJ
ejpam-5639	405	25	aspects	aspect	NOUN
ejpam-5639	405	26	,	,	PUNCT
ejpam-5639	405	27	including	include	VERB
ejpam-5639	405	28	the	the	DET
ejpam-5639	405	29	number	number	NOUN
ejpam-5639	405	30	of	of	ADP
ejpam-5639	405	31	iterations	iteration	NOUN
ejpam-5639	405	32	,	,	PUNCT
ejpam-5639	405	33	cpu	cpu	NOUN
ejpam-5639	405	34	time	time	NOUN
ejpam-5639	405	35	,	,	PUNCT
ejpam-5639	405	36	including	include	VERB
ejpam-5639	405	37	the	the	DET
ejpam-5639	405	38	rmse	rmse	ADJ
ejpam-5639	405	39	value	value	NOUN
ejpam-5639	405	40	.	.	PUNCT
ejpam-5639	406	1	the	the	DET
ejpam-5639	406	2	stopping	stopping	NOUN
ejpam-5639	406	3	criteria	criterion	NOUN
ejpam-5639	406	4	for	for	ADP
ejpam-5639	406	5	the	the	DET
ejpam-5639	406	6	process	process	NOUN
ejpam-5639	406	7	is	be	AUX
ejpam-5639	406	8	∥xk+1	∥xk+1	ADP
ejpam-5639	406	9	−	−	PROPN
ejpam-5639	406	10	xk∥2	xk∥2	PROPN
ejpam-5639	406	11	∥xk∥2	∥xk∥2	X
ejpam-5639	406	12	<	<	X
ejpam-5639	406	13	ε	ε	PROPN
ejpam-5639	406	14	.	.	PUNCT
ejpam-5639	406	15	a.	a.	PROPN
ejpam-5639	406	16	alhawarat	alhawarat	PROPN
ejpam-5639	406	17	et	et	PROPN
ejpam-5639	406	18	al	al	PROPN
ejpam-5639	406	19	.	.	PUNCT
ejpam-5639	406	20	/	/	SYM
ejpam-5639	406	21	eur	eur	PROPN
ejpam-5639	406	22	.	.	PUNCT
ejpam-5639	407	1	j.	j.	PROPN
ejpam-5639	407	2	pure	pure	PROPN
ejpam-5639	407	3	appl	appl	PROPN
ejpam-5639	407	4	.	.	PROPN
ejpam-5639	407	5	math	math	PROPN
ejpam-5639	407	6	,	,	PUNCT
ejpam-5639	407	7	18	18	NUM
ejpam-5639	407	8	(	(	PUNCT
ejpam-5639	407	9	1	1	NUM
ejpam-5639	407	10	)	)	PUNCT
ejpam-5639	407	11	(	(	PUNCT
ejpam-5639	407	12	2025	2025	NUM
ejpam-5639	407	13	)	)	PUNCT
ejpam-5639	407	14	,	,	PUNCT
ejpam-5639	407	15	5639	5639	NUM
ejpam-5639	407	16	17	17	NUM
ejpam-5639	407	17	of	of	ADP
ejpam-5639	407	18	27	27	NUM
ejpam-5639	407	19	this	this	DET
ejpam-5639	407	20	context	context	NOUN
ejpam-5639	407	21	yields	yield	VERB
ejpam-5639	407	22	ε	ε	PROPN
ejpam-5639	407	23	=	=	SYM
ejpam-5639	407	24	10−3	10−3	PROPN
ejpam-5639	407	25	.	.	PUNCT
ejpam-5639	407	26	provided	provide	VERB
ejpam-5639	407	27	that	that	DET
ejpam-5639	407	28	ε	ε	PROPN
ejpam-5639	407	29	=	=	SYM
ejpam-5639	407	30	10−4	10−4	PROPN
ejpam-5639	407	31	or	or	CCONJ
ejpam-5639	407	32	ε	ε	PROPN
ejpam-5639	407	33	=	=	SYM
ejpam-5639	407	34	10−6	10−6	NUM
ejpam-5639	407	35	,	,	PUNCT
ejpam-5639	407	36	the	the	DET
ejpam-5639	407	37	rmse	rmse	NOUN
ejpam-5639	407	38	remains	remain	VERB
ejpam-5639	407	39	constant	constant	ADJ
ejpam-5639	407	40	,	,	PUNCT
ejpam-5639	407	41	which	which	PRON
ejpam-5639	407	42	indicates	indicate	VERB
ejpam-5639	407	43	that	that	SCONJ
ejpam-5639	407	44	a	a	DET
ejpam-5639	407	45	fixed	fix	VERB
ejpam-5639	407	46	rmse	rmse	NOUN
ejpam-5639	407	47	value	value	NOUN
ejpam-5639	407	48	can	can	AUX
ejpam-5639	407	49	correspond	correspond	VERB
ejpam-5639	407	50	to	to	ADP
ejpam-5639	407	51	a	a	DET
ejpam-5639	407	52	varying	vary	VERB
ejpam-5639	407	53	number	number	NOUN
ejpam-5639	407	54	of	of	ADP
ejpam-5639	407	55	iterations	iteration	NOUN
ejpam-5639	407	56	.	.	PUNCT
ejpam-5639	408	1	this	this	PRON
ejpam-5639	408	2	implies	imply	VERB
ejpam-5639	408	3	that	that	SCONJ
ejpam-5639	408	4	while	while	SCONJ
ejpam-5639	408	5	the	the	DET
ejpam-5639	408	6	rmse	rmse	NOUN
ejpam-5639	408	7	does	do	AUX
ejpam-5639	408	8	not	not	PART
ejpam-5639	408	9	change	change	VERB
ejpam-5639	408	10	,	,	PUNCT
ejpam-5639	408	11	the	the	DET
ejpam-5639	408	12	number	number	NOUN
ejpam-5639	408	13	of	of	ADP
ejpam-5639	408	14	iterations	iteration	NOUN
ejpam-5639	408	15	obligatory	obligatory	ADJ
ejpam-5639	408	16	to	to	PART
ejpam-5639	408	17	achieve	achieve	VERB
ejpam-5639	408	18	this	this	DET
ejpam-5639	408	19	rmse	rmse	NOUN
ejpam-5639	408	20	may	may	AUX
ejpam-5639	408	21	fluctuate	fluctuate	VERB
ejpam-5639	408	22	.	.	PUNCT
ejpam-5639	409	1	figure	figure	VERB
ejpam-5639	409	2	11	11	NUM
ejpam-5639	409	3	:	:	PUNCT
ejpam-5639	409	4	the	the	DET
ejpam-5639	409	5	number	number	NOUN
ejpam-5639	409	6	of	of	ADP
ejpam-5639	409	7	iterations	iteration	NOUN
ejpam-5639	409	8	for	for	ADP
ejpam-5639	409	9	image	image	NOUN
ejpam-5639	409	10	restoration	restoration	NOUN
ejpam-5639	409	11	represented	represent	VERB
ejpam-5639	409	12	in	in	ADP
ejpam-5639	409	13	table	table	NOUN
ejpam-5639	409	14	2	2	NUM
ejpam-5639	409	15	.	.	PUNCT
ejpam-5639	409	16	figure	figure	NOUN
ejpam-5639	409	17	12	12	NUM
ejpam-5639	409	18	:	:	PUNCT
ejpam-5639	410	1	cpu	cpu	VERB
ejpam-5639	410	2	time	time	NOUN
ejpam-5639	410	3	for	for	ADP
ejpam-5639	410	4	image	image	NOUN
ejpam-5639	410	5	restorationrepresented	restorationrepresente	VERB
ejpam-5639	410	6	in	in	ADP
ejpam-5639	410	7	table	table	NOUN
ejpam-5639	410	8	2	2	NUM
ejpam-5639	410	9	.	.	PUNCT
ejpam-5639	411	1	figure	figure	NOUN
ejpam-5639	411	2	13	13	NUM
ejpam-5639	411	3	:	:	PUNCT
ejpam-5639	411	4	rmse	rmse	NOUN
ejpam-5639	411	5	for	for	ADP
ejpam-5639	411	6	image	image	NOUN
ejpam-5639	411	7	restoration	restoration	NOUN
ejpam-5639	411	8	represented	represent	VERB
ejpam-5639	411	9	in	in	ADP
ejpam-5639	411	10	table	table	NOUN
ejpam-5639	411	11	2	2	NUM
ejpam-5639	411	12	.	.	PUNCT
ejpam-5639	411	13	figures	figure	NOUN
ejpam-5639	411	14	11	11	NUM
ejpam-5639	411	15	,	,	PUNCT
ejpam-5639	411	16	12	12	NUM
ejpam-5639	411	17	,	,	PUNCT
ejpam-5639	411	18	and	and	CCONJ
ejpam-5639	411	19	13	13	NUM
ejpam-5639	411	20	demonstrate	demonstrate	VERB
ejpam-5639	411	21	that	that	SCONJ
ejpam-5639	411	22	the	the	DET
ejpam-5639	411	23	latest	late	ADJ
ejpam-5639	411	24	modification	modification	NOUN
ejpam-5639	411	25	hs+ta	hs+ta	PROPN
ejpam-5639	411	26	outperforms	outperform	VERB
ejpam-5639	411	27	dl+	dl+	PROPN
ejpam-5639	411	28	and	and	CCONJ
ejpam-5639	411	29	cg	cg	NOUN
ejpam-5639	411	30	-	-	PUNCT
ejpam-5639	411	31	descent	descent	NOUN
ejpam-5639	411	32	in	in	ADP
ejpam-5639	411	33	the	the	DET
ejpam-5639	411	34	number	number	NOUN
ejpam-5639	411	35	of	of	ADP
ejpam-5639	411	36	iterations	iteration	NOUN
ejpam-5639	411	37	,	,	PUNCT
ejpam-5639	411	38	cpu	cpu	VERB
ejpam-5639	411	39	as	as	ADV
ejpam-5639	411	40	well	well	ADV
ejpam-5639	411	41	as	as	ADP
ejpam-5639	411	42	the	the	DET
ejpam-5639	411	43	rmse	rmse	NOUN
ejpam-5639	411	44	value	value	NOUN
ejpam-5639	411	45	.	.	PUNCT
ejpam-5639	412	1	on	on	ADP
ejpam-5639	412	2	the	the	DET
ejpam-5639	412	3	other	other	ADJ
ejpam-5639	412	4	hand	hand	NOUN
ejpam-5639	412	5	,	,	PUNCT
ejpam-5639	412	6	we	we	PRON
ejpam-5639	412	7	found	find	VERB
ejpam-5639	412	8	that	that	SCONJ
ejpam-5639	412	9	cg	cg	NOUN
ejpam-5639	412	10	-	-	PUNCT
ejpam-5639	412	11	descent	descent	NOUN
ejpam-5639	412	12	outperforms	outperform	NOUN
ejpam-5639	412	13	dl+	dl+	VERB
ejpam-5639	412	14	in	in	ADP
ejpam-5639	412	15	all	all	DET
ejpam-5639	412	16	figures	figure	NOUN
ejpam-5639	412	17	.	.	PUNCT
ejpam-5639	413	1	table	table	NOUN
ejpam-5639	413	2	3	3	NUM
ejpam-5639	413	3	below	below	ADP
ejpam-5639	413	4	presents	present	VERB
ejpam-5639	413	5	the	the	DET
ejpam-5639	413	6	results	result	NOUN
ejpam-5639	413	7	of	of	ADP
ejpam-5639	413	8	restoring	restore	VERB
ejpam-5639	413	9	corrupted	corrupted	ADJ
ejpam-5639	413	10	images	image	NOUN
ejpam-5639	413	11	utilizing	utilize	VERB
ejpam-5639	413	12	hs+ta	hs+ta	NOUN
ejpam-5639	413	13	,	,	PUNCT
ejpam-5639	413	14	highlighting	highlight	VERB
ejpam-5639	413	15	its	its	PRON
ejpam-5639	413	16	effectiveness	effectiveness	NOUN
ejpam-5639	413	17	and	and	CCONJ
ejpam-5639	413	18	efficiency	efficiency	NOUN
ejpam-5639	413	19	.	.	PUNCT
ejpam-5639	414	1	these	these	DET
ejpam-5639	414	2	outcomes	outcome	NOUN
ejpam-5639	414	3	suggest	suggest	VERB
ejpam-5639	414	4	that	that	SCONJ
ejpam-5639	414	5	hs+ta	hs+ta	PROPN
ejpam-5639	414	6	is	be	AUX
ejpam-5639	414	7	a	a	DET
ejpam-5639	414	8	robust	robust	ADJ
ejpam-5639	414	9	method	method	NOUN
ejpam-5639	414	10	for	for	ADP
ejpam-5639	414	11	image	image	NOUN
ejpam-5639	414	12	restoration	restoration	NOUN
ejpam-5639	414	13	,	,	PUNCT
ejpam-5639	414	14	successfully	successfully	ADV
ejpam-5639	414	15	recovering	recover	VERB
ejpam-5639	414	16	images	image	NOUN
ejpam-5639	414	17	to	to	ADP
ejpam-5639	414	18	a	a	DET
ejpam-5639	414	19	high	high	ADJ
ejpam-5639	414	20	standard	standard	NOUN
ejpam-5639	414	21	.	.	PUNCT
ejpam-5639	415	1	a.	a.	PROPN
ejpam-5639	415	2	alhawarat	alhawarat	PROPN
ejpam-5639	415	3	et	et	PROPN
ejpam-5639	415	4	al	al	PROPN
ejpam-5639	415	5	.	.	PUNCT
ejpam-5639	415	6	/	/	SYM
ejpam-5639	415	7	eur	eur	PROPN
ejpam-5639	415	8	.	.	PUNCT
ejpam-5639	416	1	j.	j.	PROPN
ejpam-5639	416	2	pure	pure	PROPN
ejpam-5639	416	3	appl	appl	PROPN
ejpam-5639	416	4	.	.	PROPN
ejpam-5639	416	5	math	math	PROPN
ejpam-5639	416	6	,	,	PUNCT
ejpam-5639	416	7	18	18	NUM
ejpam-5639	416	8	(	(	PUNCT
ejpam-5639	416	9	1	1	NUM
ejpam-5639	416	10	)	)	PUNCT
ejpam-5639	416	11	(	(	PUNCT
ejpam-5639	416	12	2025	2025	NUM
ejpam-5639	416	13	)	)	PUNCT
ejpam-5639	416	14	,	,	PUNCT
ejpam-5639	416	15	5639	5639	NUM
ejpam-5639	416	16	18	18	NUM
ejpam-5639	416	17	of	of	ADP
ejpam-5639	416	18	27	27	NUM
ejpam-5639	416	19	table	table	NOUN
ejpam-5639	416	20	1	1	NUM
ejpam-5639	416	21	:	:	PUNCT
ejpam-5639	416	22	restoration	restoration	NOUN
ejpam-5639	416	23	of	of	ADP
ejpam-5639	416	24	corrupted	corrupted	ADJ
ejpam-5639	416	25	images	image	NOUN
ejpam-5639	416	26	of	of	ADP
ejpam-5639	416	27	moon	moon	NOUN
ejpam-5639	416	28	,	,	PUNCT
ejpam-5639	416	29	cameraman	cameraman	NOUN
ejpam-5639	416	30	,	,	PUNCT
ejpam-5639	416	31	mandi	mandi	NOUN
ejpam-5639	416	32	,	,	PUNCT
ejpam-5639	416	33	coins	coin	NOUN
ejpam-5639	416	34	,	,	PUNCT
ejpam-5639	416	35	kids	kid	NOUN
ejpam-5639	416	36	,	,	PUNCT
ejpam-5639	416	37	as	as	ADV
ejpam-5639	416	38	well	well	ADV
ejpam-5639	416	39	as	as	ADP
ejpam-5639	416	40	m.83	m.83	PROPN
ejpam-5639	416	41	using	use	VERB
ejpam-5639	416	42	hs+ta	hs+ta	PROPN
ejpam-5639	416	43	.	.	PUNCT
ejpam-5639	416	44	image	image	NOUN
ejpam-5639	416	45	original	original	ADJ
ejpam-5639	416	46	image	image	NOUN
ejpam-5639	416	47	image	image	NOUN
ejpam-5639	416	48	with	with	ADP
ejpam-5639	416	49	gaussian	gaussian	ADJ
ejpam-5639	416	50	noise	noise	NOUN
ejpam-5639	416	51	restored	restore	VERB
ejpam-5639	416	52	image	image	NOUN
ejpam-5639	416	53	moon	moon	NOUN
ejpam-5639	416	54	(	(	PUNCT
ejpam-5639	416	55	128	128	NUM
ejpam-5639	416	56	pixels	pixel	NOUN
ejpam-5639	416	57	)	)	PUNCT
ejpam-5639	416	58	cameraman	cameraman	NOUN
ejpam-5639	416	59	(	(	PUNCT
ejpam-5639	416	60	128	128	NUM
ejpam-5639	416	61	pixels	pixel	NOUN
ejpam-5639	416	62	)	)	PUNCT
ejpam-5639	416	63	mandi	mandi	NOUN
ejpam-5639	416	64	(	(	PUNCT
ejpam-5639	416	65	128	128	NUM
ejpam-5639	416	66	pixels	pixel	NOUN
ejpam-5639	416	67	)	)	PUNCT
ejpam-5639	416	68	mandi	mandi	NOUN
ejpam-5639	416	69	(	(	PUNCT
ejpam-5639	416	70	256	256	NUM
ejpam-5639	416	71	pixels	pixel	NOUN
ejpam-5639	416	72	)	)	PUNCT
ejpam-5639	416	73	kids	kid	NOUN
ejpam-5639	416	74	(	(	PUNCT
ejpam-5639	416	75	512	512	NUM
ejpam-5639	416	76	pixels	pixel	NOUN
ejpam-5639	416	77	)	)	PUNCT
ejpam-5639	416	78	m.83	m.83	PROPN
ejpam-5639	416	79	(	(	PUNCT
ejpam-5639	416	80	1024	1024	NUM
ejpam-5639	416	81	pixels	pixel	NOUN
ejpam-5639	416	82	)	)	PUNCT
ejpam-5639	416	83	8	8	NUM
ejpam-5639	416	84	.	.	PUNCT
ejpam-5639	417	1	conclusion	conclusion	NOUN
ejpam-5639	417	2	this	this	DET
ejpam-5639	417	3	research	research	NOUN
ejpam-5639	417	4	develops	develop	VERB
ejpam-5639	417	5	a	a	DET
ejpam-5639	417	6	modified	modified	ADJ
ejpam-5639	417	7	cg	cg	NOUN
ejpam-5639	417	8	method	method	NOUN
ejpam-5639	417	9	based	base	VERB
ejpam-5639	417	10	on	on	ADP
ejpam-5639	417	11	taylor	taylor	PROPN
ejpam-5639	417	12	expansion	expansion	NOUN
ejpam-5639	417	13	.	.	PUNCT
ejpam-5639	418	1	the	the	DET
ejpam-5639	418	2	proposed	propose	VERB
ejpam-5639	418	3	method	method	NOUN
ejpam-5639	418	4	satisfies	satisfy	VERB
ejpam-5639	418	5	both	both	CCONJ
ejpam-5639	418	6	descent	descent	NOUN
ejpam-5639	418	7	and	and	CCONJ
ejpam-5639	418	8	convergence	convergence	NOUN
ejpam-5639	418	9	properties	property	NOUN
ejpam-5639	418	10	.	.	PUNCT
ejpam-5639	419	1	moreover	moreover	ADV
ejpam-5639	419	2	,	,	PUNCT
ejpam-5639	419	3	numerical	numerical	PROPN
ejpam-5639	419	4	findings	finding	NOUN
ejpam-5639	419	5	demonstrate	demonstrate	VERB
ejpam-5639	419	6	that	that	SCONJ
ejpam-5639	419	7	the	the	DET
ejpam-5639	419	8	suggested	suggest	VERB
ejpam-5639	419	9	method	method	NOUN
ejpam-5639	419	10	is	be	AUX
ejpam-5639	419	11	robust	robust	ADJ
ejpam-5639	419	12	and	and	CCONJ
ejpam-5639	419	13	effective	effective	ADJ
ejpam-5639	419	14	,	,	PUNCT
ejpam-5639	419	15	outperforming	outperforming	NOUN
ejpam-5639	419	16	or	or	CCONJ
ejpam-5639	419	17	matching	match	VERB
ejpam-5639	419	18	the	the	DET
ejpam-5639	419	19	performance	performance	NOUN
ejpam-5639	419	20	of	of	ADP
ejpam-5639	419	21	cg	cg	NOUN
ejpam-5639	419	22	-	-	PUNCT
ejpam-5639	419	23	descent	descent	NOUN
ejpam-5639	419	24	6.8	6.8	NUM
ejpam-5639	419	25	and	and	CCONJ
ejpam-5639	419	26	dl+	dl+	PROPN
ejpam-5639	419	27	.	.	PUNCT
ejpam-5639	420	1	in	in	ADP
ejpam-5639	420	2	future	future	ADJ
ejpam-5639	420	3	work	work	NOUN
ejpam-5639	420	4	,	,	PUNCT
ejpam-5639	420	5	we	we	PRON
ejpam-5639	420	6	plan	plan	VERB
ejpam-5639	420	7	to	to	PART
ejpam-5639	420	8	apply	apply	VERB
ejpam-5639	420	9	these	these	DET
ejpam-5639	420	10	methods	method	NOUN
ejpam-5639	420	11	to	to	ADP
ejpam-5639	420	12	machine	machine	NOUN
ejpam-5639	420	13	learning	learn	VERB
ejpam-5639	420	14	applications	application	NOUN
ejpam-5639	420	15	to	to	PART
ejpam-5639	420	16	explore	explore	VERB
ejpam-5639	420	17	their	their	PRON
ejpam-5639	420	18	potential	potential	NOUN
ejpam-5639	420	19	in	in	ADP
ejpam-5639	420	20	this	this	DET
ejpam-5639	420	21	domain	domain	NOUN
ejpam-5639	420	22	.	.	PUNCT
ejpam-5639	421	1	a.	a.	NOUN
ejpam-5639	421	2	alhawarat	alhawarat	PROPN
ejpam-5639	421	3	et	et	PROPN
ejpam-5639	421	4	al	al	PROPN
ejpam-5639	421	5	.	.	PUNCT
ejpam-5639	421	6	/	/	SYM
ejpam-5639	421	7	eur	eur	PROPN
ejpam-5639	421	8	.	.	PUNCT
ejpam-5639	422	1	j.	j.	PROPN
ejpam-5639	422	2	pure	pure	PROPN
ejpam-5639	422	3	appl	appl	PROPN
ejpam-5639	422	4	.	.	PROPN
ejpam-5639	422	5	math	math	PROPN
ejpam-5639	422	6	,	,	PUNCT
ejpam-5639	422	7	18	18	NUM
ejpam-5639	422	8	(	(	PUNCT
ejpam-5639	422	9	1	1	NUM
ejpam-5639	422	10	)	)	PUNCT
ejpam-5639	422	11	(	(	PUNCT
ejpam-5639	422	12	2025	2025	NUM
ejpam-5639	422	13	)	)	PUNCT
ejpam-5639	422	14	,	,	PUNCT
ejpam-5639	422	15	5639	5639	NUM
ejpam-5639	422	16	19	19	NUM
ejpam-5639	422	17	of	of	ADP
ejpam-5639	422	18	27	27	NUM
ejpam-5639	422	19	acknowledgements	acknowledgement	NOUN
ejpam-5639	422	20	the	the	DET
ejpam-5639	422	21	editors	editor	NOUN
ejpam-5639	422	22	and	and	CCONJ
ejpam-5639	422	23	reviewers	reviewer	NOUN
ejpam-5639	422	24	are	be	AUX
ejpam-5639	422	25	gratefully	gratefully	ADV
ejpam-5639	422	26	acknowledged	acknowledge	VERB
ejpam-5639	422	27	by	by	ADP
ejpam-5639	422	28	the	the	DET
ejpam-5639	422	29	authors	author	NOUN
ejpam-5639	422	30	for	for	ADP
ejpam-5639	422	31	any	any	DET
ejpam-5639	422	32	comments	comment	NOUN
ejpam-5639	422	33	and	and	CCONJ
ejpam-5639	422	34	recommendations	recommendation	NOUN
ejpam-5639	422	35	that	that	PRON
ejpam-5639	422	36	might	might	AUX
ejpam-5639	422	37	make	make	VERB
ejpam-5639	422	38	this	this	DET
ejpam-5639	422	39	work	work	NOUN
ejpam-5639	422	40	better	well	ADV
ejpam-5639	422	41	.	.	PUNCT
ejpam-5639	423	1	we	we	PRON
ejpam-5639	423	2	appreciate	appreciate	VERB
ejpam-5639	423	3	dr	dr	PROPN
ejpam-5639	423	4	.	.	PROPN
ejpam-5639	423	5	william	william	PROPN
ejpam-5639	423	6	hager	hager	PROPN
ejpam-5639	423	7	’s	’s	PART
ejpam-5639	423	8	contribution	contribution	NOUN
ejpam-5639	423	9	to	to	ADP
ejpam-5639	423	10	the	the	DET
ejpam-5639	423	11	cg	cg	NOUN
ejpam-5639	423	12	method	method	NOUN
ejpam-5639	423	13	’s	’s	PART
ejpam-5639	423	14	source	source	NOUN
ejpam-5639	423	15	code	code	NOUN
ejpam-5639	423	16	.	.	PUNCT
ejpam-5639	424	1	availability	availability	NOUN
ejpam-5639	424	2	of	of	ADP
ejpam-5639	424	3	data	datum	NOUN
ejpam-5639	424	4	and	and	CCONJ
ejpam-5639	424	5	material	material	NOUN
ejpam-5639	424	6	all	all	DET
ejpam-5639	424	7	data	datum	NOUN
ejpam-5639	424	8	is	be	AUX
ejpam-5639	424	9	available	available	ADJ
ejpam-5639	424	10	in	in	ADP
ejpam-5639	424	11	the	the	DET
ejpam-5639	424	12	work	work	NOUN
ejpam-5639	424	13	itself	itself	PRON
ejpam-5639	424	14	.	.	PUNCT
ejpam-5639	425	1	competing	compete	VERB
ejpam-5639	425	2	interests	interest	NOUN
ejpam-5639	425	3	no	no	DET
ejpam-5639	425	4	competing	compete	VERB
ejpam-5639	425	5	interests	interest	NOUN
ejpam-5639	425	6	are	be	AUX
ejpam-5639	425	7	declared	declare	VERB
ejpam-5639	425	8	by	by	ADP
ejpam-5639	425	9	the	the	DET
ejpam-5639	425	10	author	author	NOUN
ejpam-5639	425	11	.	.	PUNCT
ejpam-5639	426	1	references	reference	NOUN
ejpam-5639	426	2	[	[	X
ejpam-5639	426	3	1	1	NUM
ejpam-5639	426	4	]	]	PUNCT
ejpam-5639	426	5	m.	m.	NOUN
ejpam-5639	426	6	al	al	PROPN
ejpam-5639	426	7	-	-	PUNCT
ejpam-5639	426	8	baali	baali	PROPN
ejpam-5639	426	9	.	.	PUNCT
ejpam-5639	427	1	descent	descent	NOUN
ejpam-5639	427	2	property	property	NOUN
ejpam-5639	427	3	and	and	CCONJ
ejpam-5639	427	4	global	global	ADJ
ejpam-5639	427	5	convergence	convergence	NOUN
ejpam-5639	427	6	of	of	ADP
ejpam-5639	427	7	the	the	DET
ejpam-5639	427	8	fletcher	fletcher	NOUN
ejpam-5639	427	9	—	—	PUNCT
ejpam-5639	427	10	reeves	reeve	NOUN
ejpam-5639	427	11	method	method	VERB
ejpam-5639	427	12	with	with	ADP
ejpam-5639	427	13	inexact	inexact	ADJ
ejpam-5639	427	14	line	line	NOUN
ejpam-5639	427	15	search	search	NOUN
ejpam-5639	427	16	.	.	PUNCT
ejpam-5639	428	1	i	i	PRON
ejpam-5639	428	2	m	m	VERB
ejpam-5639	428	3	a	a	DET
ejpam-5639	428	4	journal	journal	NOUN
ejpam-5639	428	5	of	of	ADP
ejpam-5639	428	6	numerical	numerical	ADJ
ejpam-5639	428	7	analysis	analysis	NOUN
ejpam-5639	428	8	,	,	PUNCT
ejpam-5639	428	9	5(1):121–124	5(1):121–124	NUM
ejpam-5639	428	10	,	,	PUNCT
ejpam-5639	428	11	1985	1985	NUM
ejpam-5639	428	12	.	.	PUNCT
ejpam-5639	429	1	[	[	X
ejpam-5639	429	2	2	2	NUM
ejpam-5639	429	3	]	]	PUNCT
ejpam-5639	429	4	a.	a.	NOUN
ejpam-5639	429	5	alhawarat	alhawarat	PROPN
ejpam-5639	429	6	,	,	PUNCT
ejpam-5639	429	7	g.	g.	PROPN
ejpam-5639	429	8	alhamzi	alhamzi	PROPN
ejpam-5639	429	9	,	,	PUNCT
ejpam-5639	429	10	i.	i.	PROPN
ejpam-5639	429	11	masmali	masmali	PROPN
ejpam-5639	429	12	,	,	PUNCT
ejpam-5639	429	13	and	and	CCONJ
ejpam-5639	429	14	z.	z.	PROPN
ejpam-5639	429	15	salleh	salleh	PROPN
ejpam-5639	429	16	.	.	PUNCT
ejpam-5639	430	1	a	a	DET
ejpam-5639	430	2	descent	descent	NOUN
ejpam-5639	430	3	four	four	NUM
ejpam-5639	430	4	-	-	PUNCT
ejpam-5639	430	5	term	term	NOUN
ejpam-5639	430	6	conjugate	conjugate	ADJ
ejpam-5639	430	7	gradient	gradient	NOUN
ejpam-5639	430	8	method	method	NOUN
ejpam-5639	430	9	with	with	ADP
ejpam-5639	430	10	global	global	ADJ
ejpam-5639	430	11	convergence	convergence	NOUN
ejpam-5639	430	12	properties	property	NOUN
ejpam-5639	430	13	for	for	ADP
ejpam-5639	430	14	large	large	ADJ
ejpam-5639	430	15	-	-	PUNCT
ejpam-5639	430	16	scale	scale	NOUN
ejpam-5639	430	17	unconstrained	unconstrained	ADJ
ejpam-5639	430	18	optimisation	optimisation	NOUN
ejpam-5639	430	19	problems	problem	NOUN
ejpam-5639	430	20	.	.	PUNCT
ejpam-5639	431	1	mathematical	mathematical	ADJ
ejpam-5639	431	2	problems	problem	NOUN
ejpam-5639	431	3	in	in	ADP
ejpam-5639	431	4	engineering	engineering	NOUN
ejpam-5639	431	5	,	,	PUNCT
ejpam-5639	431	6	(	(	PUNCT
ejpam-5639	431	7	1):6219062	1):6219062	NOUN
ejpam-5639	431	8	,	,	PUNCT
ejpam-5639	431	9	2021	2021	NUM
ejpam-5639	431	10	.	.	PUNCT
ejpam-5639	432	1	[	[	X
ejpam-5639	432	2	3	3	NUM
ejpam-5639	432	3	]	]	PUNCT
ejpam-5639	432	4	a.	a.	NOUN
ejpam-5639	432	5	alhawarat	alhawarat	PROPN
ejpam-5639	432	6	,	,	PUNCT
ejpam-5639	432	7	m.	m.	NOUN
ejpam-5639	432	8	mamat	mamat	PROPN
ejpam-5639	432	9	,	,	PUNCT
ejpam-5639	432	10	m.	m.	NOUN
ejpam-5639	432	11	rivaie	rivaie	NOUN
ejpam-5639	432	12	,	,	PUNCT
ejpam-5639	432	13	and	and	CCONJ
ejpam-5639	432	14	z.	z.	PROPN
ejpam-5639	432	15	salleh	salleh	PROPN
ejpam-5639	432	16	.	.	PUNCT
ejpam-5639	433	1	an	an	DET
ejpam-5639	433	2	efficient	efficient	ADJ
ejpam-5639	433	3	hybrid	hybrid	ADJ
ejpam-5639	433	4	conjugate	conjugate	ADJ
ejpam-5639	433	5	gradient	gradient	NOUN
ejpam-5639	433	6	method	method	NOUN
ejpam-5639	433	7	with	with	ADP
ejpam-5639	433	8	the	the	DET
ejpam-5639	433	9	strong	strong	ADJ
ejpam-5639	433	10	wolfe	wolfe	PROPN
ejpam-5639	433	11	-	-	PUNCT
ejpam-5639	433	12	powell	powell	PROPN
ejpam-5639	433	13	line	line	NOUN
ejpam-5639	433	14	search	search	NOUN
ejpam-5639	433	15	.	.	PUNCT
ejpam-5639	434	1	mathematical	mathematical	ADJ
ejpam-5639	434	2	problems	problem	NOUN
ejpam-5639	434	3	in	in	ADP
ejpam-5639	434	4	engineering	engineering	NOUN
ejpam-5639	434	5	,	,	PUNCT
ejpam-5639	434	6	2015	2015	NUM
ejpam-5639	434	7	.	.	PUNCT
ejpam-5639	435	1	[	[	X
ejpam-5639	435	2	4	4	NUM
ejpam-5639	435	3	]	]	PUNCT
ejpam-5639	435	4	a.	a.	NOUN
ejpam-5639	435	5	alhawarat	alhawarat	PROPN
ejpam-5639	435	6	,	,	PUNCT
ejpam-5639	435	7	z.	z.	PROPN
ejpam-5639	435	8	salleh	salleh	PROPN
ejpam-5639	435	9	,	,	PUNCT
ejpam-5639	435	10	m.	m.	NOUN
ejpam-5639	435	11	mamat	mamat	PROPN
ejpam-5639	435	12	,	,	PUNCT
ejpam-5639	435	13	and	and	CCONJ
ejpam-5639	435	14	m.	m.	NOUN
ejpam-5639	435	15	rivaie	rivaie	PROPN
ejpam-5639	435	16	.	.	PUNCT
ejpam-5639	436	1	an	an	DET
ejpam-5639	436	2	efficient	efficient	ADJ
ejpam-5639	436	3	modified	modify	VERB
ejpam-5639	436	4	polak	polak	NOUN
ejpam-5639	436	5	–	–	PUNCT
ejpam-5639	436	6	ribière	ribière	NOUN
ejpam-5639	436	7	–	–	PUNCT
ejpam-5639	436	8	polyak	polyak	NOUN
ejpam-5639	436	9	conjugate	conjugate	ADJ
ejpam-5639	436	10	gradient	gradient	NOUN
ejpam-5639	436	11	method	method	NOUN
ejpam-5639	436	12	with	with	ADP
ejpam-5639	436	13	global	global	ADJ
ejpam-5639	436	14	convergence	convergence	NOUN
ejpam-5639	436	15	properties	property	NOUN
ejpam-5639	436	16	.	.	PUNCT
ejpam-5639	437	1	optimization	optimization	NOUN
ejpam-5639	437	2	methods	method	NOUN
ejpam-5639	437	3	and	and	CCONJ
ejpam-5639	437	4	software	software	NOUN
ejpam-5639	437	5	,	,	PUNCT
ejpam-5639	437	6	32(6):1299–1312	32(6):1299–1312	NUM
ejpam-5639	437	7	,	,	PUNCT
ejpam-5639	437	8	2017	2017	NUM
ejpam-5639	437	9	.	.	PUNCT
ejpam-5639	438	1	[	[	X
ejpam-5639	438	2	5	5	NUM
ejpam-5639	438	3	]	]	PUNCT
ejpam-5639	438	4	i.	i.	NOUN
ejpam-5639	438	5	bongartz	bongartz	PROPN
ejpam-5639	438	6	,	,	PUNCT
ejpam-5639	438	7	a.	a.	PROPN
ejpam-5639	438	8	r.	r.	PROPN
ejpam-5639	438	9	conn	conn	PROPN
ejpam-5639	438	10	,	,	PUNCT
ejpam-5639	438	11	n.	n.	PROPN
ejpam-5639	438	12	gould	gould	PROPN
ejpam-5639	438	13	,	,	PUNCT
ejpam-5639	438	14	and	and	CCONJ
ejpam-5639	438	15	p.	p.	PROPN
ejpam-5639	438	16	l.	l.	PROPN
ejpam-5639	438	17	toint	toint	PROPN
ejpam-5639	438	18	.	.	PUNCT
ejpam-5639	439	1	cute	cute	ADJ
ejpam-5639	439	2	:	:	PUNCT
ejpam-5639	439	3	constrained	constrained	ADJ
ejpam-5639	439	4	and	and	CCONJ
ejpam-5639	439	5	unconstrained	unconstrained	ADJ
ejpam-5639	439	6	testing	testing	NOUN
ejpam-5639	439	7	environment	environment	NOUN
ejpam-5639	439	8	.	.	PUNCT
ejpam-5639	440	1	acm	acm	PROPN
ejpam-5639	440	2	transactions	transaction	NOUN
ejpam-5639	440	3	on	on	ADP
ejpam-5639	440	4	mathematical	mathematical	ADJ
ejpam-5639	440	5	software	software	NOUN
ejpam-5639	440	6	(	(	PUNCT
ejpam-5639	440	7	toms	tom	NOUN
ejpam-5639	440	8	)	)	PUNCT
ejpam-5639	440	9	,	,	PUNCT
ejpam-5639	440	10	21(1):123–160	21(1):123–160	PROPN
ejpam-5639	440	11	,	,	PUNCT
ejpam-5639	440	12	1995	1995	NUM
ejpam-5639	440	13	.	.	PUNCT
ejpam-5639	441	1	[	[	X
ejpam-5639	441	2	6	6	NUM
ejpam-5639	441	3	]	]	X
ejpam-5639	441	4	y.	y.	PROPN
ejpam-5639	441	5	h.	h.	PROPN
ejpam-5639	441	6	dai	dai	PROPN
ejpam-5639	441	7	and	and	CCONJ
ejpam-5639	441	8	l.	l.	PROPN
ejpam-5639	441	9	z.	z.	PROPN
ejpam-5639	441	10	liao	liao	PROPN
ejpam-5639	441	11	.	.	PUNCT
ejpam-5639	442	1	new	new	ADJ
ejpam-5639	442	2	conjugacy	conjugacy	ADJ
ejpam-5639	442	3	conditions	condition	NOUN
ejpam-5639	442	4	and	and	CCONJ
ejpam-5639	442	5	related	relate	VERB
ejpam-5639	442	6	nonlinear	nonlinear	ADJ
ejpam-5639	442	7	conjugate	conjugate	ADJ
ejpam-5639	442	8	gradient	gradient	ADJ
ejpam-5639	442	9	methods	method	NOUN
ejpam-5639	442	10	.	.	PUNCT
ejpam-5639	443	1	applied	apply	VERB
ejpam-5639	443	2	mathematics	mathematic	NOUN
ejpam-5639	443	3	and	and	CCONJ
ejpam-5639	443	4	optimization	optimization	NOUN
ejpam-5639	443	5	,	,	PUNCT
ejpam-5639	443	6	43(1):87–101	43(1):87–101	NOUN
ejpam-5639	443	7	,	,	PUNCT
ejpam-5639	443	8	2001	2001	NUM
ejpam-5639	443	9	.	.	PUNCT
ejpam-5639	444	1	[	[	X
ejpam-5639	444	2	7	7	X
ejpam-5639	444	3	]	]	X
ejpam-5639	444	4	y.	y.	PROPN
ejpam-5639	444	5	h.	h.	PROPN
ejpam-5639	444	6	dai	dai	PROPN
ejpam-5639	444	7	and	and	CCONJ
ejpam-5639	444	8	y.	y.	PROPN
ejpam-5639	444	9	yuan	yuan	PROPN
ejpam-5639	444	10	.	.	PUNCT
ejpam-5639	445	1	a	a	DET
ejpam-5639	445	2	nonlinear	nonlinear	ADJ
ejpam-5639	445	3	conjugate	conjugate	ADJ
ejpam-5639	445	4	gradient	gradient	NOUN
ejpam-5639	445	5	method	method	NOUN
ejpam-5639	445	6	with	with	ADP
ejpam-5639	445	7	a	a	DET
ejpam-5639	445	8	strong	strong	ADJ
ejpam-5639	445	9	global	global	ADJ
ejpam-5639	445	10	convergence	convergence	NOUN
ejpam-5639	445	11	property	property	NOUN
ejpam-5639	445	12	.	.	PUNCT
ejpam-5639	446	1	siam	siam	PROPN
ejpam-5639	446	2	journal	journal	PROPN
ejpam-5639	446	3	on	on	ADP
ejpam-5639	446	4	optimization	optimization	NOUN
ejpam-5639	446	5	,	,	PUNCT
ejpam-5639	446	6	10(1):177–182	10(1):177–182	NUM
ejpam-5639	446	7	,	,	PUNCT
ejpam-5639	446	8	1999	1999	NUM
ejpam-5639	446	9	.	.	PUNCT
ejpam-5639	447	1	[	[	X
ejpam-5639	447	2	8	8	NUM
ejpam-5639	447	3	]	]	X
ejpam-5639	447	4	e.	e.	PROPN
ejpam-5639	447	5	d.	d.	PROPN
ejpam-5639	447	6	dolan	dolan	PROPN
ejpam-5639	447	7	and	and	CCONJ
ejpam-5639	447	8	j.	j.	PROPN
ejpam-5639	447	9	j.	j.	PROPN
ejpam-5639	447	10	moré.	moré.	PROPN
ejpam-5639	447	11	benchmarking	benchmarke	VERB
ejpam-5639	447	12	optimization	optimization	NOUN
ejpam-5639	447	13	software	software	NOUN
ejpam-5639	447	14	with	with	ADP
ejpam-5639	447	15	performance	performance	NOUN
ejpam-5639	447	16	profiles	profile	NOUN
ejpam-5639	447	17	.	.	PUNCT
ejpam-5639	448	1	mathematical	mathematical	ADJ
ejpam-5639	448	2	programming	programming	NOUN
ejpam-5639	448	3	,	,	PUNCT
ejpam-5639	448	4	91(2):201–213	91(2):201–213	PROPN
ejpam-5639	448	5	,	,	PUNCT
ejpam-5639	448	6	2002	2002	NUM
ejpam-5639	448	7	.	.	PUNCT
ejpam-5639	449	1	[	[	X
ejpam-5639	449	2	9	9	NUM
ejpam-5639	449	3	]	]	PUNCT
ejpam-5639	449	4	r.	r.	PROPN
ejpam-5639	449	5	fletcher	fletcher	PROPN
ejpam-5639	449	6	.	.	PUNCT
ejpam-5639	450	1	practical	practical	ADJ
ejpam-5639	450	2	methods	method	NOUN
ejpam-5639	450	3	of	of	ADP
ejpam-5639	450	4	optimization	optimization	NOUN
ejpam-5639	450	5	,	,	PUNCT
ejpam-5639	450	6	2nd	2nd	PROPN
ejpam-5639	450	7	edition	edition	NOUN
ejpam-5639	450	8	.	.	PUNCT
ejpam-5639	451	1	chichester	chichester	PROPN
ejpam-5639	451	2	,	,	PUNCT
ejpam-5639	451	3	wiley	wiley	PROPN
ejpam-5639	451	4	,	,	PUNCT
ejpam-5639	451	5	1987	1987	NUM
ejpam-5639	451	6	.	.	PUNCT
ejpam-5639	452	1	[	[	X
ejpam-5639	452	2	10	10	NUM
ejpam-5639	452	3	]	]	X
ejpam-5639	452	4	r.	r.	PROPN
ejpam-5639	452	5	fletcher	fletcher	PROPN
ejpam-5639	452	6	and	and	CCONJ
ejpam-5639	452	7	c.	c.	PROPN
ejpam-5639	452	8	m.	m.	PROPN
ejpam-5639	452	9	reeves	reeves	PROPN
ejpam-5639	452	10	.	.	PUNCT
ejpam-5639	453	1	function	function	NOUN
ejpam-5639	453	2	minimization	minimization	NOUN
ejpam-5639	453	3	by	by	ADP
ejpam-5639	453	4	conjugate	conjugate	ADJ
ejpam-5639	453	5	gradients	gradient	NOUN
ejpam-5639	453	6	.	.	PUNCT
ejpam-5639	454	1	the	the	DET
ejpam-5639	454	2	computer	computer	NOUN
ejpam-5639	454	3	journal	journal	NOUN
ejpam-5639	454	4	,	,	PUNCT
ejpam-5639	454	5	7(2):149–154	7(2):149–154	NUM
ejpam-5639	454	6	,	,	PUNCT
ejpam-5639	454	7	1964	1964	NUM
ejpam-5639	454	8	.	.	PUNCT
ejpam-5639	455	1	[	[	X
ejpam-5639	455	2	11	11	NUM
ejpam-5639	455	3	]	]	PUNCT
ejpam-5639	455	4	j.	j.	PROPN
ejpam-5639	455	5	c.	c.	PROPN
ejpam-5639	455	6	gilbert	gilbert	PROPN
ejpam-5639	455	7	and	and	CCONJ
ejpam-5639	455	8	j.	j.	PROPN
ejpam-5639	455	9	nocedal	nocedal	PROPN
ejpam-5639	455	10	.	.	PUNCT
ejpam-5639	456	1	global	global	ADJ
ejpam-5639	456	2	convergence	convergence	NOUN
ejpam-5639	456	3	properties	property	NOUN
ejpam-5639	456	4	of	of	ADP
ejpam-5639	456	5	conjugate	conjugate	ADJ
ejpam-5639	456	6	gradient	gradient	ADJ
ejpam-5639	456	7	methods	method	NOUN
ejpam-5639	456	8	for	for	ADP
ejpam-5639	456	9	optimization	optimization	NOUN
ejpam-5639	456	10	.	.	PUNCT
ejpam-5639	457	1	siam	siam	PROPN
ejpam-5639	457	2	journal	journal	PROPN
ejpam-5639	457	3	on	on	ADP
ejpam-5639	457	4	optimization	optimization	NOUN
ejpam-5639	457	5	,	,	PUNCT
ejpam-5639	457	6	2(1):21–42	2(1):21–42	NUM
ejpam-5639	457	7	,	,	PUNCT
ejpam-5639	457	8	1992	1992	NUM
ejpam-5639	457	9	.	.	PUNCT
ejpam-5639	458	1	[	[	X
ejpam-5639	458	2	12	12	NUM
ejpam-5639	458	3	]	]	PUNCT
ejpam-5639	458	4	w.	w.	PROPN
ejpam-5639	458	5	w.	w.	PROPN
ejpam-5639	458	6	hager	hager	PROPN
ejpam-5639	458	7	and	and	CCONJ
ejpam-5639	458	8	h.	h.	PROPN
ejpam-5639	458	9	zhang	zhang	PROPN
ejpam-5639	458	10	.	.	PUNCT
ejpam-5639	459	1	the	the	DET
ejpam-5639	459	2	limited	limited	ADJ
ejpam-5639	459	3	memory	memory	NOUN
ejpam-5639	459	4	conjugate	conjugate	ADJ
ejpam-5639	459	5	gradient	gradient	NOUN
ejpam-5639	459	6	method	method	NOUN
ejpam-5639	459	7	.	.	PUNCT
ejpam-5639	460	1	siam	siam	PROPN
ejpam-5639	460	2	journal	journal	PROPN
ejpam-5639	460	3	on	on	ADP
ejpam-5639	460	4	optimization	optimization	NOUN
ejpam-5639	460	5	,	,	PUNCT
ejpam-5639	460	6	23(4):2150–2168	23(4):2150–2168	PROPN
ejpam-5639	460	7	,	,	PUNCT
ejpam-5639	460	8	2013	2013	NUM
ejpam-5639	460	9	.	.	PUNCT
ejpam-5639	461	1	a.	a.	NOUN
ejpam-5639	461	2	alhawarat	alhawarat	PROPN
ejpam-5639	461	3	et	et	PROPN
ejpam-5639	461	4	al	al	PROPN
ejpam-5639	461	5	.	.	PUNCT
ejpam-5639	461	6	/	/	SYM
ejpam-5639	461	7	eur	eur	PROPN
ejpam-5639	461	8	.	.	PUNCT
ejpam-5639	462	1	j.	j.	PROPN
ejpam-5639	462	2	pure	pure	PROPN
ejpam-5639	462	3	appl	appl	PROPN
ejpam-5639	462	4	.	.	PROPN
ejpam-5639	462	5	math	math	PROPN
ejpam-5639	462	6	,	,	PUNCT
ejpam-5639	462	7	18	18	NUM
ejpam-5639	462	8	(	(	PUNCT
ejpam-5639	462	9	1	1	NUM
ejpam-5639	462	10	)	)	PUNCT
ejpam-5639	462	11	(	(	PUNCT
ejpam-5639	462	12	2025	2025	NUM
ejpam-5639	462	13	)	)	PUNCT
ejpam-5639	462	14	,	,	PUNCT
ejpam-5639	462	15	5639	5639	NUM
ejpam-5639	462	16	20	20	NUM
ejpam-5639	462	17	of	of	ADP
ejpam-5639	462	18	27	27	NUM
ejpam-5639	462	19	[	[	SYM
ejpam-5639	462	20	13	13	NUM
ejpam-5639	462	21	]	]	PUNCT
ejpam-5639	462	22	m.	m.	NOUN
ejpam-5639	462	23	r.	r.	PROPN
ejpam-5639	462	24	hestenes	hestenes	PROPN
ejpam-5639	462	25	and	and	CCONJ
ejpam-5639	462	26	e.	e.	PROPN
ejpam-5639	462	27	stiefel	stiefel	PROPN
ejpam-5639	462	28	.	.	PUNCT
ejpam-5639	463	1	methods	method	NOUN
ejpam-5639	463	2	of	of	ADP
ejpam-5639	463	3	conjugate	conjugate	ADJ
ejpam-5639	463	4	gradients	gradient	NOUN
ejpam-5639	463	5	for	for	ADP
ejpam-5639	463	6	solving	solve	VERB
ejpam-5639	463	7	linear	linear	NOUN
ejpam-5639	463	8	systems	system	NOUN
ejpam-5639	463	9	.	.	PUNCT
ejpam-5639	464	1	journal	journal	PROPN
ejpam-5639	464	2	of	of	ADP
ejpam-5639	464	3	research	research	NOUN
ejpam-5639	464	4	of	of	ADP
ejpam-5639	464	5	the	the	DET
ejpam-5639	464	6	national	national	PROPN
ejpam-5639	464	7	bureau	bureau	PROPN
ejpam-5639	464	8	of	of	ADP
ejpam-5639	464	9	standards	standard	NOUN
ejpam-5639	464	10	,	,	PUNCT
ejpam-5639	464	11	49(6):409–436	49(6):409–436	NOUN
ejpam-5639	464	12	,	,	PUNCT
ejpam-5639	464	13	1952	1952	NUM
ejpam-5639	464	14	.	.	PUNCT
ejpam-5639	465	1	[	[	X
ejpam-5639	465	2	14	14	NUM
ejpam-5639	465	3	]	]	PUNCT
ejpam-5639	465	4	x.	x.	PROPN
ejpam-5639	465	5	jiang	jiang	PROPN
ejpam-5639	465	6	,	,	PUNCT
ejpam-5639	465	7	j.	j.	PROPN
ejpam-5639	465	8	jian	jian	PROPN
ejpam-5639	465	9	,	,	PUNCT
ejpam-5639	465	10	d.	d.	PROPN
ejpam-5639	465	11	song	song	PROPN
ejpam-5639	465	12	,	,	PUNCT
ejpam-5639	465	13	and	and	CCONJ
ejpam-5639	465	14	p.	p.	PROPN
ejpam-5639	465	15	liu	liu	PROPN
ejpam-5639	465	16	.	.	PUNCT
ejpam-5639	466	1	an	an	DET
ejpam-5639	466	2	improved	improved	ADJ
ejpam-5639	466	3	polak	polak	NOUN
ejpam-5639	466	4	–	–	PUNCT
ejpam-5639	466	5	ribière	ribière	NOUN
ejpam-5639	466	6	–	–	PUNCT
ejpam-5639	466	7	polyak	polyak	NOUN
ejpam-5639	466	8	conjugate	conjugate	ADJ
ejpam-5639	466	9	gradient	gradient	NOUN
ejpam-5639	466	10	method	method	NOUN
ejpam-5639	466	11	with	with	ADP
ejpam-5639	466	12	an	an	DET
ejpam-5639	466	13	efficient	efficient	ADJ
ejpam-5639	466	14	restart	restart	NOUN
ejpam-5639	466	15	direction	direction	NOUN
ejpam-5639	466	16	.	.	PUNCT
ejpam-5639	467	1	computers	computer	NOUN
ejpam-5639	467	2	&	&	CCONJ
ejpam-5639	467	3	applied	apply	VERB
ejpam-5639	467	4	mathematics	mathematic	NOUN
ejpam-5639	467	5	,	,	PUNCT
ejpam-5639	467	6	40:1–24	40:1–24	NUM
ejpam-5639	467	7	,	,	PUNCT
ejpam-5639	467	8	2021	2021	NUM
ejpam-5639	467	9	.	.	PUNCT
ejpam-5639	468	1	[	[	X
ejpam-5639	468	2	15	15	NUM
ejpam-5639	468	3	]	]	PUNCT
ejpam-5639	468	4	x.	x.	PROPN
ejpam-5639	468	5	jiang	jiang	PROPN
ejpam-5639	468	6	,	,	PUNCT
ejpam-5639	468	7	g.	g.	PROPN
ejpam-5639	468	8	sun	sun	PROPN
ejpam-5639	468	9	,	,	PUNCT
ejpam-5639	468	10	and	and	CCONJ
ejpam-5639	468	11	j.	j.	PROPN
ejpam-5639	468	12	jian	jian	PROPN
ejpam-5639	468	13	.	.	PROPN
ejpam-5639	469	1	a	a	DET
ejpam-5639	469	2	family	family	NOUN
ejpam-5639	469	3	of	of	ADP
ejpam-5639	469	4	dai	dai	PROPN
ejpam-5639	469	5	-	-	PUNCT
ejpam-5639	469	6	liao	liao	PROPN
ejpam-5639	469	7	conjugate	conjugate	PROPN
ejpam-5639	469	8	gradient	gradient	ADJ
ejpam-5639	469	9	methods	method	NOUN
ejpam-5639	469	10	with	with	ADP
ejpam-5639	469	11	strong	strong	ADJ
ejpam-5639	469	12	convergence	convergence	NOUN
ejpam-5639	469	13	for	for	ADP
ejpam-5639	469	14	image	image	NOUN
ejpam-5639	469	15	restoration	restoration	NOUN
ejpam-5639	469	16	and	and	CCONJ
ejpam-5639	469	17	machine	machine	NOUN
ejpam-5639	469	18	learning	learning	NOUN
ejpam-5639	469	19	.	.	PUNCT
ejpam-5639	470	1	2024	2024	NUM
ejpam-5639	470	2	.	.	PUNCT
ejpam-5639	471	1	[	[	X
ejpam-5639	471	2	16	16	NUM
ejpam-5639	471	3	]	]	X
ejpam-5639	471	4	g.	g.	PROPN
ejpam-5639	471	5	li	li	PROPN
ejpam-5639	471	6	,	,	PUNCT
ejpam-5639	471	7	c.	c.	PROPN
ejpam-5639	471	8	tang	tang	PROPN
ejpam-5639	471	9	,	,	PUNCT
ejpam-5639	471	10	and	and	CCONJ
ejpam-5639	471	11	z.	z.	PROPN
ejpam-5639	471	12	wei	wei	PROPN
ejpam-5639	471	13	.	.	PUNCT
ejpam-5639	472	1	new	new	ADJ
ejpam-5639	472	2	conjugacy	conjugacy	ADJ
ejpam-5639	472	3	condition	condition	NOUN
ejpam-5639	472	4	and	and	CCONJ
ejpam-5639	472	5	related	relate	VERB
ejpam-5639	472	6	new	new	ADJ
ejpam-5639	472	7	conjugate	conjugate	ADJ
ejpam-5639	472	8	gradient	gradient	NOUN
ejpam-5639	472	9	methods	method	NOUN
ejpam-5639	472	10	for	for	ADP
ejpam-5639	472	11	unconstrained	unconstrained	ADJ
ejpam-5639	472	12	optimization	optimization	NOUN
ejpam-5639	472	13	.	.	PUNCT
ejpam-5639	473	1	journal	journal	PROPN
ejpam-5639	473	2	of	of	ADP
ejpam-5639	473	3	computational	computational	ADJ
ejpam-5639	473	4	and	and	CCONJ
ejpam-5639	473	5	applied	applied	ADJ
ejpam-5639	473	6	mathematics	mathematic	NOUN
ejpam-5639	473	7	,	,	PUNCT
ejpam-5639	473	8	202(2):523–539	202(2):523–539	NUM
ejpam-5639	473	9	,	,	PUNCT
ejpam-5639	473	10	2007	2007	NUM
ejpam-5639	473	11	.	.	PUNCT
ejpam-5639	474	1	[	[	X
ejpam-5639	474	2	17	17	NUM
ejpam-5639	474	3	]	]	X
ejpam-5639	474	4	y.	y.	PROPN
ejpam-5639	474	5	liu	liu	PROPN
ejpam-5639	474	6	and	and	CCONJ
ejpam-5639	474	7	c.	c.	PROPN
ejpam-5639	474	8	storey	storey	PROPN
ejpam-5639	474	9	.	.	PUNCT
ejpam-5639	475	1	efficient	efficient	ADJ
ejpam-5639	475	2	generalized	generalize	VERB
ejpam-5639	475	3	conjugate	conjugate	ADJ
ejpam-5639	475	4	gradient	gradient	ADJ
ejpam-5639	475	5	algorithms	algorithm	NOUN
ejpam-5639	475	6	,	,	PUNCT
ejpam-5639	475	7	part	part	NOUN
ejpam-5639	475	8	1	1	NUM
ejpam-5639	475	9	:	:	PUNCT
ejpam-5639	475	10	theory	theory	NOUN
ejpam-5639	475	11	.	.	PUNCT
ejpam-5639	476	1	journal	journal	NOUN
ejpam-5639	476	2	of	of	ADP
ejpam-5639	476	3	optimization	optimization	NOUN
ejpam-5639	476	4	theory	theory	NOUN
ejpam-5639	476	5	and	and	CCONJ
ejpam-5639	476	6	applications	application	NOUN
ejpam-5639	476	7	,	,	PUNCT
ejpam-5639	476	8	69(1):129–137	69(1):129–137	NUM
ejpam-5639	476	9	,	,	PUNCT
ejpam-5639	476	10	1991	1991	NUM
ejpam-5639	476	11	.	.	PUNCT
ejpam-5639	477	1	[	[	X
ejpam-5639	477	2	18	18	NUM
ejpam-5639	477	3	]	]	X
ejpam-5639	477	4	g.	g.	PROPN
ejpam-5639	477	5	ma	ma	PROPN
ejpam-5639	477	6	,	,	PUNCT
ejpam-5639	477	7	l.	l.	PROPN
ejpam-5639	477	8	liu	liu	PROPN
ejpam-5639	477	9	,	,	PUNCT
ejpam-5639	477	10	j.	j.	PROPN
ejpam-5639	477	11	jian	jian	PROPN
ejpam-5639	477	12	,	,	PUNCT
ejpam-5639	477	13	and	and	CCONJ
ejpam-5639	477	14	x.	x.	PROPN
ejpam-5639	477	15	yan	yan	PROPN
ejpam-5639	477	16	.	.	PUNCT
ejpam-5639	478	1	a	a	DET
ejpam-5639	478	2	new	new	ADJ
ejpam-5639	478	3	hybrid	hybrid	ADJ
ejpam-5639	478	4	cgpm	cgpm	NOUN
ejpam-5639	478	5	-	-	PUNCT
ejpam-5639	478	6	based	base	VERB
ejpam-5639	478	7	algorithm	algorithm	NOUN
ejpam-5639	478	8	for	for	ADP
ejpam-5639	478	9	constrained	constrain	VERB
ejpam-5639	478	10	nonlinear	nonlinear	ADJ
ejpam-5639	478	11	monotone	monotone	ADJ
ejpam-5639	478	12	equations	equation	NOUN
ejpam-5639	478	13	with	with	ADP
ejpam-5639	478	14	applications	application	NOUN
ejpam-5639	478	15	.	.	PUNCT
ejpam-5639	479	1	journal	journal	NOUN
ejpam-5639	479	2	of	of	ADP
ejpam-5639	479	3	applied	apply	VERB
ejpam-5639	479	4	mathematics	mathematic	NOUN
ejpam-5639	479	5	and	and	CCONJ
ejpam-5639	479	6	computing	computing	NOUN
ejpam-5639	479	7	,	,	PUNCT
ejpam-5639	479	8	70(1):103–147	70(1):103–147	PROPN
ejpam-5639	479	9	,	,	PUNCT
ejpam-5639	479	10	2024	2024	NUM
ejpam-5639	479	11	.	.	PUNCT
ejpam-5639	480	1	[	[	X
ejpam-5639	480	2	19	19	NUM
ejpam-5639	480	3	]	]	PUNCT
ejpam-5639	480	4	s.	s.	PROPN
ejpam-5639	480	5	k.	k.	PROPN
ejpam-5639	480	6	mishra	mishra	PROPN
ejpam-5639	480	7	and	and	CCONJ
ejpam-5639	480	8	b.	b.	PROPN
ejpam-5639	480	9	ram	ram	PROPN
ejpam-5639	480	10	.	.	PUNCT
ejpam-5639	481	1	introduction	introduction	NOUN
ejpam-5639	481	2	to	to	ADP
ejpam-5639	481	3	unconstrained	unconstrained	ADJ
ejpam-5639	481	4	optimization	optimization	NOUN
ejpam-5639	481	5	with	with	ADP
ejpam-5639	481	6	r.	r.	PROPN
ejpam-5639	481	7	springer	springer	PROPN
ejpam-5639	481	8	nature	nature	NOUN
ejpam-5639	481	9	,	,	PUNCT
ejpam-5639	481	10	2019	2019	NUM
ejpam-5639	481	11	.	.	PUNCT
ejpam-5639	482	1	[	[	X
ejpam-5639	482	2	20	20	NUM
ejpam-5639	482	3	]	]	PUNCT
ejpam-5639	482	4	e.	e.	PROPN
ejpam-5639	482	5	polak	polak	PROPN
ejpam-5639	482	6	and	and	CCONJ
ejpam-5639	482	7	g.	g.	PROPN
ejpam-5639	482	8	ribiere	ribiere	PROPN
ejpam-5639	482	9	.	.	PUNCT
ejpam-5639	483	1	note	note	VERB
ejpam-5639	483	2	sur	sur	PROPN
ejpam-5639	483	3	la	la	X
ejpam-5639	483	4	convergence	convergence	NOUN
ejpam-5639	483	5	de	de	X
ejpam-5639	483	6	méthodes	méthodes	X
ejpam-5639	483	7	de	de	PROPN
ejpam-5639	483	8	directions	direction	NOUN
ejpam-5639	483	9	conjuguées	conjuguées	PROPN
ejpam-5639	483	10	.	.	PUNCT
ejpam-5639	484	1	esaim	esaim	NOUN
ejpam-5639	484	2	:	:	PUNCT
ejpam-5639	484	3	mathematical	mathematical	ADJ
ejpam-5639	484	4	modelling	modelling	NOUN
ejpam-5639	484	5	and	and	CCONJ
ejpam-5639	484	6	numerical	numerical	ADJ
ejpam-5639	484	7	analysis	analysis	NOUN
ejpam-5639	484	8	-	-	PUNCT
ejpam-5639	484	9	modélisation	modélisation	NOUN
ejpam-5639	484	10	mathématique	mathématique	NOUN
ejpam-5639	484	11	et	et	NOUN
ejpam-5639	484	12	analyse	analyse	PROPN
ejpam-5639	484	13	numérique	numérique	NOUN
ejpam-5639	484	14	,	,	PUNCT
ejpam-5639	484	15	3(r1):35–43	3(r1):35–43	NUM
ejpam-5639	484	16	,	,	PUNCT
ejpam-5639	484	17	1969	1969	NUM
ejpam-5639	484	18	.	.	PUNCT
ejpam-5639	485	1	[	[	X
ejpam-5639	485	2	21	21	NUM
ejpam-5639	485	3	]	]	PUNCT
ejpam-5639	485	4	m.	m.	NOUN
ejpam-5639	485	5	j.	j.	PROPN
ejpam-5639	485	6	powell	powell	PROPN
ejpam-5639	485	7	.	.	PUNCT
ejpam-5639	486	1	nonconvex	nonconvex	NOUN
ejpam-5639	486	2	minimization	minimization	NOUN
ejpam-5639	486	3	calculations	calculation	NOUN
ejpam-5639	486	4	and	and	CCONJ
ejpam-5639	486	5	the	the	DET
ejpam-5639	486	6	conjugate	conjugate	ADJ
ejpam-5639	486	7	gradient	gradient	NOUN
ejpam-5639	486	8	method	method	NOUN
ejpam-5639	486	9	.	.	PUNCT
ejpam-5639	487	1	in	in	ADP
ejpam-5639	487	2	numerical	numerical	ADJ
ejpam-5639	487	3	analysis	analysis	NOUN
ejpam-5639	487	4	,	,	PUNCT
ejpam-5639	487	5	pages	page	NOUN
ejpam-5639	487	6	122–141	122–141	NUM
ejpam-5639	487	7	.	.	PUNCT
ejpam-5639	487	8	springer	springer	NOUN
ejpam-5639	487	9	,	,	PUNCT
ejpam-5639	487	10	berlin	berlin	PROPN
ejpam-5639	487	11	,	,	PUNCT
ejpam-5639	487	12	heidelberg	heidelberg	PROPN
ejpam-5639	487	13	,	,	PUNCT
ejpam-5639	487	14	1984	1984	NUM
ejpam-5639	487	15	.	.	PUNCT
ejpam-5639	488	1	[	[	X
ejpam-5639	488	2	22	22	NUM
ejpam-5639	488	3	]	]	PUNCT
ejpam-5639	488	4	p.	p.	PROPN
ejpam-5639	488	5	wolfe	wolfe	PROPN
ejpam-5639	488	6	.	.	PUNCT
ejpam-5639	489	1	convergence	convergence	NOUN
ejpam-5639	489	2	conditions	condition	NOUN
ejpam-5639	489	3	for	for	ADP
ejpam-5639	489	4	ascent	ascent	ADJ
ejpam-5639	489	5	methods	method	NOUN
ejpam-5639	489	6	.	.	PUNCT
ejpam-5639	490	1	siam	siam	PROPN
ejpam-5639	490	2	review	review	PROPN
ejpam-5639	490	3	,	,	PUNCT
ejpam-5639	490	4	11(2):226–235	11(2):226–235	NUM
ejpam-5639	490	5	,	,	PUNCT
ejpam-5639	490	6	1969	1969	NUM
ejpam-5639	490	7	.	.	PUNCT
ejpam-5639	491	1	[	[	X
ejpam-5639	491	2	23	23	NUM
ejpam-5639	491	3	]	]	PUNCT
ejpam-5639	491	4	p.	p.	PROPN
ejpam-5639	491	5	wolfe	wolfe	PROPN
ejpam-5639	491	6	.	.	PUNCT
ejpam-5639	492	1	convergence	convergence	NOUN
ejpam-5639	492	2	conditions	condition	NOUN
ejpam-5639	492	3	for	for	ADP
ejpam-5639	492	4	ascent	ascent	ADJ
ejpam-5639	492	5	methods	method	NOUN
ejpam-5639	492	6	.	.	PUNCT
ejpam-5639	493	1	ii	ii	PROPN
ejpam-5639	493	2	:	:	PUNCT
ejpam-5639	493	3	some	some	DET
ejpam-5639	493	4	corrections	correction	NOUN
ejpam-5639	493	5	.	.	PUNCT
ejpam-5639	494	1	siam	siam	PROPN
ejpam-5639	494	2	review	review	PROPN
ejpam-5639	494	3	,	,	PUNCT
ejpam-5639	494	4	13(2):185–188	13(2):185–188	NUM
ejpam-5639	494	5	,	,	PUNCT
ejpam-5639	494	6	1971	1971	NUM
ejpam-5639	494	7	.	.	PUNCT
ejpam-5639	495	1	[	[	X
ejpam-5639	495	2	24	24	NUM
ejpam-5639	495	3	]	]	PUNCT
ejpam-5639	495	4	k.	k.	PROPN
ejpam-5639	495	5	s.	s.	PROPN
ejpam-5639	495	6	yow	yow	PROPN
ejpam-5639	495	7	,	,	PUNCT
ejpam-5639	495	8	n.	n.	PROPN
ejpam-5639	495	9	liao	liao	PROPN
ejpam-5639	495	10	,	,	PUNCT
ejpam-5639	495	11	s.	s.	PROPN
ejpam-5639	495	12	luo	luo	PROPN
ejpam-5639	495	13	,	,	PUNCT
ejpam-5639	495	14	r.	r.	PROPN
ejpam-5639	495	15	cheng	cheng	PROPN
ejpam-5639	495	16	,	,	PUNCT
ejpam-5639	495	17	c.	c.	PROPN
ejpam-5639	495	18	ma	ma	PROPN
ejpam-5639	495	19	,	,	PUNCT
ejpam-5639	495	20	and	and	CCONJ
ejpam-5639	495	21	x.	x.	PROPN
ejpam-5639	495	22	han	han	PROPN
ejpam-5639	495	23	.	.	PUNCT
ejpam-5639	496	1	a	a	DET
ejpam-5639	496	2	survey	survey	NOUN
ejpam-5639	496	3	on	on	ADP
ejpam-5639	496	4	machine	machine	NOUN
ejpam-5639	496	5	learning	learn	VERB
ejpam-5639	496	6	solutions	solution	NOUN
ejpam-5639	496	7	for	for	ADP
ejpam-5639	496	8	graph	graph	NOUN
ejpam-5639	496	9	pattern	pattern	NOUN
ejpam-5639	496	10	extraction	extraction	NOUN
ejpam-5639	496	11	.	.	PUNCT
ejpam-5639	497	1	arxiv	arxiv	PROPN
ejpam-5639	497	2	preprint	preprint	NOUN
ejpam-5639	497	3	arxiv:2204.01057	arxiv:2204.01057	NOUN
ejpam-5639	497	4	,	,	PUNCT
ejpam-5639	497	5	2023	2023	NUM
ejpam-5639	497	6	.	.	PUNCT
ejpam-5639	498	1	[	[	X
ejpam-5639	498	2	25	25	NUM
ejpam-5639	498	3	]	]	X
ejpam-5639	498	4	kai	kai	PROPN
ejpam-5639	498	5	siong	siong	PROPN
ejpam-5639	498	6	yow	yow	PROPN
ejpam-5639	498	7	,	,	PUNCT
ejpam-5639	498	8	ningyi	ningyi	PROPN
ejpam-5639	498	9	liao	liao	PROPN
ejpam-5639	498	10	,	,	PUNCT
ejpam-5639	498	11	siqiang	siqiang	PROPN
ejpam-5639	498	12	luo	luo	PROPN
ejpam-5639	498	13	,	,	PUNCT
ejpam-5639	498	14	and	and	CCONJ
ejpam-5639	498	15	reynold	reynold	PROPN
ejpam-5639	498	16	cheng	cheng	PROPN
ejpam-5639	498	17	.	.	PUNCT
ejpam-5639	499	1	machine	machine	NOUN
ejpam-5639	499	2	learning	learn	VERB
ejpam-5639	499	3	for	for	ADP
ejpam-5639	499	4	subgraph	subgraph	NOUN
ejpam-5639	499	5	extraction	extraction	NOUN
ejpam-5639	499	6	:	:	PUNCT
ejpam-5639	499	7	methods	method	NOUN
ejpam-5639	499	8	,	,	PUNCT
ejpam-5639	499	9	applications	application	NOUN
ejpam-5639	499	10	and	and	CCONJ
ejpam-5639	499	11	challenges	challenge	NOUN
ejpam-5639	499	12	.	.	PUNCT
ejpam-5639	500	1	in	in	ADP
ejpam-5639	500	2	proceedings	proceeding	NOUN
ejpam-5639	500	3	of	of	ADP
ejpam-5639	500	4	the	the	DET
ejpam-5639	500	5	vldb	vldb	NOUN
ejpam-5639	500	6	endowment	endowment	NOUN
ejpam-5639	500	7	,	,	PUNCT
ejpam-5639	500	8	volume	volume	NOUN
ejpam-5639	500	9	16	16	NUM
ejpam-5639	500	10	,	,	PUNCT
ejpam-5639	500	11	pages	page	NOUN
ejpam-5639	500	12	3864–3867	3864–3867	NUM
ejpam-5639	500	13	,	,	PUNCT
ejpam-5639	500	14	2023	2023	NUM
ejpam-5639	500	15	.	.	PUNCT
ejpam-5639	501	1	[	[	X
ejpam-5639	501	2	26	26	NUM
ejpam-5639	501	3	]	]	X
ejpam-5639	501	4	g.	g.	PROPN
ejpam-5639	501	5	zoutendijk	zoutendijk	PROPN
ejpam-5639	501	6	.	.	PUNCT
ejpam-5639	502	1	nonlinear	nonlinear	ADJ
ejpam-5639	502	2	programming	programming	NOUN
ejpam-5639	502	3	,	,	PUNCT
ejpam-5639	502	4	computational	computational	ADJ
ejpam-5639	502	5	methods	method	NOUN
ejpam-5639	502	6	.	.	PUNCT
ejpam-5639	503	1	in	in	ADP
ejpam-5639	503	2	integer	integer	NOUN
ejpam-5639	503	3	and	and	CCONJ
ejpam-5639	503	4	nonlinear	nonlinear	ADJ
ejpam-5639	503	5	programming	programming	NOUN
ejpam-5639	503	6	,	,	PUNCT
ejpam-5639	503	7	pages	page	NOUN
ejpam-5639	503	8	37–86	37–86	NUM
ejpam-5639	503	9	.	.	PUNCT
ejpam-5639	503	10	1970	1970	NUM
ejpam-5639	503	11	.	.	PUNCT
ejpam-5639	504	1	a.	a.	PROPN
ejpam-5639	504	2	alhawarat	alhawarat	PROPN
ejpam-5639	504	3	et	et	PROPN
ejpam-5639	504	4	al	al	PROPN
ejpam-5639	504	5	.	.	PUNCT
ejpam-5639	504	6	/	/	SYM
ejpam-5639	504	7	eur	eur	PROPN
ejpam-5639	504	8	.	.	PUNCT
ejpam-5639	505	1	j.	j.	PROPN
ejpam-5639	505	2	pure	pure	PROPN
ejpam-5639	505	3	appl	appl	PROPN
ejpam-5639	505	4	.	.	PROPN
ejpam-5639	505	5	math	math	PROPN
ejpam-5639	505	6	,	,	PUNCT
ejpam-5639	505	7	18	18	NUM
ejpam-5639	505	8	(	(	PUNCT
ejpam-5639	505	9	1	1	NUM
ejpam-5639	505	10	)	)	PUNCT
ejpam-5639	505	11	(	(	PUNCT
ejpam-5639	505	12	2025	2025	NUM
ejpam-5639	505	13	)	)	PUNCT
ejpam-5639	505	14	,	,	PUNCT
ejpam-5639	505	15	5639	5639	NUM
ejpam-5639	505	16	21	21	NUM
ejpam-5639	505	17	of	of	ADP
ejpam-5639	505	18	27	27	NUM
ejpam-5639	505	19	table	table	NOUN
ejpam-5639	505	20	2	2	NUM
ejpam-5639	505	21	:	:	PUNCT
ejpam-5639	505	22	the	the	DET
ejpam-5639	505	23	test	test	NOUN
ejpam-5639	505	24	function	function	NOUN
ejpam-5639	505	25	with	with	ADP
ejpam-5639	505	26	the	the	DET
ejpam-5639	505	27	number	number	NOUN
ejpam-5639	505	28	of	of	ADP
ejpam-5639	505	29	iterations	iteration	NOUN
ejpam-5639	505	30	,	,	PUNCT
ejpam-5639	505	31	function	function	NOUN
ejpam-5639	505	32	evaluations	evaluation	NOUN
ejpam-5639	505	33	,	,	PUNCT
ejpam-5639	505	34	gradient	gradient	NOUN
ejpam-5639	505	35	evaluations	evaluation	NOUN
ejpam-5639	505	36	,	,	PUNCT
ejpam-5639	505	37	function	function	NOUN
ejpam-5639	505	38	value	value	NOUN
ejpam-5639	505	39	,	,	PUNCT
ejpam-5639	505	40	gradient	gradient	NOUN
ejpam-5639	505	41	value	value	NOUN
ejpam-5639	505	42	,	,	PUNCT
ejpam-5639	505	43	and	and	CCONJ
ejpam-5639	505	44	cpu	cpu	VERB
ejpam-5639	505	45	time	time	NOUN
ejpam-5639	505	46	for	for	ADP
ejpam-5639	505	47	hs+ta	hs+ta	PROPN
ejpam-5639	505	48	.	.	PROPN
ejpam-5639	505	49	function	function	NOUN
ejpam-5639	505	50	number	number	NOUN
ejpam-5639	505	51	function	function	NOUN
ejpam-5639	505	52	dim	dim	ADJ
ejpam-5639	505	53	iteration	iteration	NOUN
ejpam-5639	505	54	(	(	PUNCT
ejpam-5639	505	55	hs+ta	hs+ta	NOUN
ejpam-5639	505	56	)	)	PUNCT
ejpam-5639	505	57	fun	fun	NOUN
ejpam-5639	505	58	.	.	PUNCT
ejpam-5639	506	1	evaluations	evaluation	NOUN
ejpam-5639	506	2	grad	grad	NOUN
ejpam-5639	506	3	.	.	PUNCT
ejpam-5639	507	1	evaluations	evaluation	NOUN
ejpam-5639	507	2	final	final	ADJ
ejpam-5639	507	3	f	f	PROPN
ejpam-5639	507	4	final	final	ADJ
ejpam-5639	507	5	g	g	PROPN
ejpam-5639	507	6	time	time	NOUN
ejpam-5639	507	7	1	1	NUM
ejpam-5639	507	8	akiva	akiva	NOUN
ejpam-5639	507	9	2	2	NUM
ejpam-5639	507	10	8	8	NUM
ejpam-5639	507	11	20	20	NUM
ejpam-5639	507	12	15	15	NUM
ejpam-5639	507	13	6.166042	6.166042	NUM
ejpam-5639	507	14	6.97e-07	6.97e-07	NUM
ejpam-5639	507	15	0.02	0.02	NUM
ejpam-5639	507	16	2	2	NUM
ejpam-5639	507	17	allinitu	allinitu	NOUN
ejpam-5639	507	18	4	4	NUM
ejpam-5639	507	19	9	9	NUM
ejpam-5639	507	20	25	25	NUM
ejpam-5639	507	21	18	18	NUM
ejpam-5639	507	22	5.744385	5.744385	NUM
ejpam-5639	507	23	1.61e-09	1.61e-09	NUM
ejpam-5639	507	24	0.02	0.02	NUM
ejpam-5639	507	25	3	3	NUM
ejpam-5639	507	26	arglina	arglina	NOUN
ejpam-5639	507	27	200	200	NUM
ejpam-5639	507	28	1	1	NUM
ejpam-5639	507	29	3	3	NUM
ejpam-5639	507	30	2	2	NUM
ejpam-5639	507	31	200	200	NUM
ejpam-5639	507	32	1.24e-11	1.24e-11	NUM
ejpam-5639	507	33	0.02	0.02	NUM
ejpam-5639	507	34	4	4	NUM
ejpam-5639	507	35	arglinb	arglinb	NOUN
ejpam-5639	507	36	200	200	NUM
ejpam-5639	507	37	1	1	NUM
ejpam-5639	507	38	3	3	NUM
ejpam-5639	507	39	2	2	NUM
ejpam-5639	507	40	99.62547	99.62547	NUM
ejpam-5639	507	41	6.69e-06	6.69e-06	NUM
ejpam-5639	507	42	0.02	0.02	NUM
ejpam-5639	507	43	5	5	NUM
ejpam-5639	507	44	arwhead	arwhead	ADV
ejpam-5639	507	45	5000	5000	NUM
ejpam-5639	507	46	6	6	NUM
ejpam-5639	507	47	16	16	NUM
ejpam-5639	507	48	12	12	NUM
ejpam-5639	507	49	0	0	NUM
ejpam-5639	508	1	1.84e-07	1.84e-07	NUM
ejpam-5639	508	2	0.03	0.03	NUM
ejpam-5639	508	3	6	6	NUM
ejpam-5639	508	4	bard	bard	NOUN
ejpam-5639	508	5	3	3	NUM
ejpam-5639	508	6	12	12	NUM
ejpam-5639	508	7	32	32	NUM
ejpam-5639	508	8	22	22	NUM
ejpam-5639	508	9	0.008215	0.008215	NUM
ejpam-5639	508	10	3.28e-07	3.28e-07	NUM
ejpam-5639	508	11	0.02	0.02	NUM
ejpam-5639	508	12	7	7	NUM
ejpam-5639	508	13	bdqrtic	bdqrtic	ADJ
ejpam-5639	508	14	5000	5000	NUM
ejpam-5639	508	15	61	61	NUM
ejpam-5639	508	16	162	162	NUM
ejpam-5639	508	17	141	141	NUM
ejpam-5639	508	18	20006.26	20006.26	NUM
ejpam-5639	508	19	5.64e-07	5.64e-07	NUM
ejpam-5639	508	20	0.02	0.02	NUM
ejpam-5639	508	21	8	8	NUM
ejpam-5639	508	22	beale	beale	NOUN
ejpam-5639	508	23	2	2	NUM
ejpam-5639	508	24	11	11	NUM
ejpam-5639	508	25	33	33	NUM
ejpam-5639	508	26	26	26	NUM
ejpam-5639	508	27	1.66e-19	1.66e-19	NUM
ejpam-5639	508	28	2.57e-09	2.57e-09	NUM
ejpam-5639	508	29	0.02	0.02	NUM
ejpam-5639	508	30	9	9	NUM
ejpam-5639	508	31	bennett5ls3	bennett5ls3	NOUN
ejpam-5639	508	32	14	14	NUM
ejpam-5639	508	33	44	44	NUM
ejpam-5639	508	34	34	34	NUM
ejpam-5639	508	35	0.000539	0.000539	NUM
ejpam-5639	508	36	6.73e-08	6.73e-08	NUM
ejpam-5639	508	37	0.02	0.02	NUM
ejpam-5639	508	38	10	10	NUM
ejpam-5639	508	39	biggs6	biggs6	NOUN
ejpam-5639	508	40	6	6	NUM
ejpam-5639	508	41	24	24	NUM
ejpam-5639	508	42	64	64	NUM
ejpam-5639	508	43	44	44	NUM
ejpam-5639	508	44	0.005656	0.005656	NUM
ejpam-5639	508	45	2.03e-07	2.03e-07	NUM
ejpam-5639	508	46	0.02	0.02	NUM
ejpam-5639	508	47	11	11	NUM
ejpam-5639	508	48	box	box	NOUN
ejpam-5639	508	49	10000	10000	NUM
ejpam-5639	508	50	7	7	NUM
ejpam-5639	508	51	25	25	NUM
ejpam-5639	508	52	21	21	NUM
ejpam-5639	508	53	-1864.54	-1864.54	PROPN
ejpam-5639	508	54	7.17e-07	7.17e-07	NUM
ejpam-5639	508	55	0.02	0.02	NUM
ejpam-5639	508	56	12	12	NUM
ejpam-5639	508	57	box3	box3	NOUN
ejpam-5639	508	58	3	3	NUM
ejpam-5639	508	59	10	10	NUM
ejpam-5639	508	60	23	23	NUM
ejpam-5639	508	61	14	14	NUM
ejpam-5639	508	62	6.37e-15	6.37e-15	NUM
ejpam-5639	508	63	9.22e-08	9.22e-08	NUM
ejpam-5639	508	64	0.02	0.02	NUM
ejpam-5639	508	65	13	13	NUM
ejpam-5639	508	66	boxbodls	boxbodl	NOUN
ejpam-5639	508	67	2	2	NUM
ejpam-5639	508	68	12	12	NUM
ejpam-5639	508	69	75	75	NUM
ejpam-5639	508	70	69	69	NUM
ejpam-5639	508	71	1168.009	1168.009	NUM
ejpam-5639	508	72	2.64e-08	2.64e-08	NUM
ejpam-5639	508	73	0.02	0.02	NUM
ejpam-5639	508	74	14	14	NUM
ejpam-5639	508	75	boxpower	boxpower	NOUN
ejpam-5639	508	76	20000	20000	NUM
ejpam-5639	508	77	29	29	NUM
ejpam-5639	508	78	72	72	NUM
ejpam-5639	508	79	47	47	NUM
ejpam-5639	508	80	3.3e-12	3.3e-12	NUM
ejpam-5639	508	81	7.03e-08	7.03e-08	NUM
ejpam-5639	508	82	0.03	0.03	NUM
ejpam-5639	508	83	15	15	NUM
ejpam-5639	508	84	brkmcc	brkmcc	NOUN
ejpam-5639	508	85	2	2	NUM
ejpam-5639	508	86	5	5	NUM
ejpam-5639	508	87	11	11	NUM
ejpam-5639	508	88	6	6	NUM
ejpam-5639	508	89	0.169043	0.169043	NUM
ejpam-5639	508	90	6.22e-08	6.22e-08	NUM
ejpam-5639	508	91	0.02	0.02	NUM
ejpam-5639	508	92	16	16	NUM
ejpam-5639	508	93	brownal	brownal	ADJ
ejpam-5639	508	94	200	200	NUM
ejpam-5639	508	95	5	5	NUM
ejpam-5639	508	96	64	64	NUM
ejpam-5639	508	97	61	61	NUM
ejpam-5639	508	98	1.47e-09	1.47e-09	NUM
ejpam-5639	508	99	1.18e-06	1.18e-06	NUM
ejpam-5639	508	100	0.02	0.02	NUM
ejpam-5639	508	101	17	17	NUM
ejpam-5639	508	102	brownbs	brownbs	ADP
ejpam-5639	508	103	2	2	NUM
ejpam-5639	508	104	10	10	NUM
ejpam-5639	508	105	24	24	NUM
ejpam-5639	508	106	18	18	NUM
ejpam-5639	508	107	0	0	NUM
ejpam-5639	508	108	0	0	NUM
ejpam-5639	508	109	0.02	0.02	NUM
ejpam-5639	508	110	18	18	NUM
ejpam-5639	508	111	brownden	brownden	ADJ
ejpam-5639	508	112	4	4	NUM
ejpam-5639	508	113	16	16	NUM
ejpam-5639	508	114	38	38	NUM
ejpam-5639	508	115	31	31	NUM
ejpam-5639	508	116	85822.2	85822.2	NUM
ejpam-5639	508	117	1.53e-10	1.53e-10	NUM
ejpam-5639	508	118	0.02	0.02	NUM
ejpam-5639	508	119	19	19	NUM
ejpam-5639	508	120	broydn7d	broydn7d	VERB
ejpam-5639	508	121	5000	5000	NUM
ejpam-5639	508	122	57	57	NUM
ejpam-5639	508	123	104	104	NUM
ejpam-5639	508	124	79	79	NUM
ejpam-5639	508	125	3441.346	3441.346	NUM
ejpam-5639	508	126	9.15e-07	9.15e-07	NUM
ejpam-5639	508	127	0.02	0.02	NUM
ejpam-5639	508	128	20	20	NUM
ejpam-5639	508	129	brybnd	brybnd	NOUN
ejpam-5639	508	130	5000	5000	NUM
ejpam-5639	508	131	45	45	NUM
ejpam-5639	508	132	105	105	NUM
ejpam-5639	508	133	64	64	NUM
ejpam-5639	508	134	0.538446	0.538446	NUM
ejpam-5639	508	135	0.000967	0.000967	NUM
ejpam-5639	508	136	0.02	0.02	NUM
ejpam-5639	508	137	21	21	NUM
ejpam-5639	508	138	chainwoo	chainwoo	NOUN
ejpam-5639	508	139	4000	4000	NUM
ejpam-5639	508	140	12798	12798	NUM
ejpam-5639	508	141	26461	26461	NUM
ejpam-5639	508	142	14190	14190	NUM
ejpam-5639	508	143	1651.345	1651.345	NUM
ejpam-5639	508	144	5.92e-07	5.92e-07	NUM
ejpam-5639	508	145	3.06	3.06	NUM
ejpam-5639	508	146	22	22	NUM
ejpam-5639	508	147	chwirut1ls3	chwirut1ls3	NOUN
ejpam-5639	508	148	15	15	NUM
ejpam-5639	508	149	43	43	NUM
ejpam-5639	508	150	34	34	NUM
ejpam-5639	508	151	2384.477	2384.477	NUM
ejpam-5639	508	152	3.18e-07	3.18e-07	NUM
ejpam-5639	508	153	0.02	0.02	NUM
ejpam-5639	508	154	23	23	NUM
ejpam-5639	508	155	chwirut2ls3	chwirut2ls3	NOUN
ejpam-5639	508	156	15	15	NUM
ejpam-5639	508	157	35	35	NUM
ejpam-5639	508	158	25	25	NUM
ejpam-5639	508	159	513.048	513.048	NUM
ejpam-5639	508	160	3.58e-07	3.58e-07	NUM
ejpam-5639	508	161	0.02	0.02	NUM
ejpam-5639	508	162	24	24	NUM
ejpam-5639	508	163	cliff	cliff	NOUN
ejpam-5639	508	164	2	2	NUM
ejpam-5639	508	165	10	10	NUM
ejpam-5639	508	166	46	46	NUM
ejpam-5639	508	167	39	39	NUM
ejpam-5639	508	168	0.199787	0.199787	NUM
ejpam-5639	508	169	1.95e-07	1.95e-07	NUM
ejpam-5639	508	170	0.02	0.02	NUM
ejpam-5639	508	171	25	25	NUM
ejpam-5639	508	172	cosine	cosine	NOUN
ejpam-5639	508	173	10000	10000	NUM
ejpam-5639	508	174	10	10	NUM
ejpam-5639	508	175	48	48	NUM
ejpam-5639	508	176	42	42	NUM
ejpam-5639	508	177	-9999	-9999	NOUN
ejpam-5639	508	178	4.37e-07	4.37e-07	NUM
ejpam-5639	508	179	0.03	0.03	NUM
ejpam-5639	508	180	26	26	NUM
ejpam-5639	508	181	cragglvy	cragglvy	NOUN
ejpam-5639	508	182	5000	5000	NUM
ejpam-5639	508	183	88	88	NUM
ejpam-5639	508	184	178	178	NUM
ejpam-5639	508	185	149	149	NUM
ejpam-5639	508	186	1688.215	1688.215	NUM
ejpam-5639	508	187	9.4e-07	9.4e-07	NOUN
ejpam-5639	508	188	0.06	0.06	NUM
ejpam-5639	508	189	27	27	NUM
ejpam-5639	508	190	cube	cube	NOUN
ejpam-5639	508	191	2	2	NUM
ejpam-5639	508	192	17	17	NUM
ejpam-5639	508	193	48	48	NUM
ejpam-5639	508	194	34	34	NUM
ejpam-5639	508	195	1.65e-20	1.65e-20	NUM
ejpam-5639	508	196	5.82e-09	5.82e-09	NUM
ejpam-5639	508	197	0.02	0.02	NUM
ejpam-5639	508	198	28	28	NUM
ejpam-5639	508	199	curly10	curly10	NOUN
ejpam-5639	508	200	10000	10000	NUM
ejpam-5639	508	201	49278	49278	NUM
ejpam-5639	508	202	69394	69394	NUM
ejpam-5639	508	203	78474	78474	NUM
ejpam-5639	508	204	-1003163	-1003163	NOUN
ejpam-5639	508	205	9.98e-07	9.98e-07	NUM
ejpam-5639	508	206	24.87	24.87	NUM
ejpam-5639	508	207	29	29	NUM
ejpam-5639	508	208	curly20	curly20	NOUN
ejpam-5639	508	209	10000	10000	NUM
ejpam-5639	508	210	69850	69850	NUM
ejpam-5639	508	211	92869	92869	NUM
ejpam-5639	508	212	116727	116727	NUM
ejpam-5639	508	213	-1003163	-1003163	NOUN
ejpam-5639	508	214	9.99e-07	9.99e-07	NUM
ejpam-5639	508	215	49.13	49.13	NUM
ejpam-5639	508	216	30	30	NUM
ejpam-5639	508	217	curly30	curly30	NOUN
ejpam-5639	508	218	10000	10000	NUM
ejpam-5639	508	219	74607	74607	NUM
ejpam-5639	508	220	98792	98792	NUM
ejpam-5639	508	221	125185	125185	NUM
ejpam-5639	508	222	-1003163	-1003163	NOUN
ejpam-5639	509	1	9.87e-07	9.87e-07	NUM
ejpam-5639	509	2	89.41	89.41	NUM
ejpam-5639	509	3	31	31	NUM
ejpam-5639	509	4	danwoodls2	danwoodls2	NOUN
ejpam-5639	509	5	8	8	NUM
ejpam-5639	509	6	32	32	NUM
ejpam-5639	509	7	28	28	NUM
ejpam-5639	509	8	0.004317	0.004317	NUM
ejpam-5639	509	9	9.93e-08	9.93e-08	NUM
ejpam-5639	509	10	0.02	0.02	NUM
ejpam-5639	509	11	32	32	NUM
ejpam-5639	509	12	deconvu	deconvu	NOUN
ejpam-5639	509	13	63	63	NUM
ejpam-5639	509	14	415	415	NUM
ejpam-5639	509	15	834	834	NUM
ejpam-5639	509	16	420	420	NUM
ejpam-5639	509	17	2.24e-08	2.24e-08	NUM
ejpam-5639	509	18	9.73e-07	9.73e-07	NUM
ejpam-5639	509	19	0.02	0.02	NUM
ejpam-5639	509	20	33	33	NUM
ejpam-5639	509	21	denschna	denschna	NOUN
ejpam-5639	509	22	2	2	NUM
ejpam-5639	509	23	6	6	NUM
ejpam-5639	509	24	16	16	NUM
ejpam-5639	509	25	12	12	NUM
ejpam-5639	509	26	1.32e-14	1.32e-14	NUM
ejpam-5639	509	27	3.21e-07	3.21e-07	NUM
ejpam-5639	509	28	0.02	0.02	NUM
ejpam-5639	509	29	34	34	NUM
ejpam-5639	509	30	denschnb	denschnb	NOUN
ejpam-5639	509	31	2	2	NUM
ejpam-5639	509	32	6	6	NUM
ejpam-5639	509	33	18	18	NUM
ejpam-5639	509	34	15	15	NUM
ejpam-5639	509	35	3.2e-19	3.2e-19	NUM
ejpam-5639	509	36	1.43e-09	1.43e-09	NUM
ejpam-5639	509	37	0.02	0.02	NUM
ejpam-5639	509	38	35	35	NUM
ejpam-5639	509	39	denschnc	denschnc	ADJ
ejpam-5639	509	40	2	2	NUM
ejpam-5639	509	41	11	11	NUM
ejpam-5639	509	42	36	36	NUM
ejpam-5639	509	43	31	31	NUM
ejpam-5639	509	44	5.27e-15	5.27e-15	NUM
ejpam-5639	509	45	2.76e-07	2.76e-07	NUM
ejpam-5639	509	46	0.02	0.02	NUM
ejpam-5639	509	47	36	36	NUM
ejpam-5639	509	48	denschnd	denschnd	VERB
ejpam-5639	509	49	3	3	NUM
ejpam-5639	509	50	14	14	NUM
ejpam-5639	509	51	46	46	NUM
ejpam-5639	509	52	40	40	NUM
ejpam-5639	509	53	5.24e-12	5.24e-12	NUM
ejpam-5639	509	54	2.34e-07	2.34e-07	NUM
ejpam-5639	509	55	0.02	0.02	NUM
ejpam-5639	509	56	37	37	NUM
ejpam-5639	509	57	denschne	denschne	NOUN
ejpam-5639	509	58	3	3	NUM
ejpam-5639	509	59	12	12	NUM
ejpam-5639	509	60	43	43	NUM
ejpam-5639	509	61	38	38	NUM
ejpam-5639	510	1	1.46e-13	1.46e-13	NUM
ejpam-5639	510	2	7.56e-07	7.56e-07	NUM
ejpam-5639	510	3	0.02	0.02	NUM
ejpam-5639	510	4	38	38	NUM
ejpam-5639	510	5	denschnf	denschnf	NOUN
ejpam-5639	510	6	2	2	NUM
ejpam-5639	510	7	9	9	NUM
ejpam-5639	510	8	31	31	NUM
ejpam-5639	510	9	26	26	NUM
ejpam-5639	510	10	3.18e-22	3.18e-22	NUM
ejpam-5639	510	11	2.52e-10	2.52e-10	NUM
ejpam-5639	510	12	0.02	0.02	NUM
ejpam-5639	510	13	39	39	NUM
ejpam-5639	510	14	dixmaana	dixmaana	NOUN
ejpam-5639	510	15	3000	3000	NUM
ejpam-5639	510	16	6	6	NUM
ejpam-5639	510	17	15	15	NUM
ejpam-5639	510	18	11	11	NUM
ejpam-5639	510	19	1	1	NUM
ejpam-5639	510	20	3.94e-13	3.94e-13	NUM
ejpam-5639	510	21	0.02	0.02	NUM
ejpam-5639	510	22	40	40	NUM
ejpam-5639	510	23	dixmaanb	dixmaanb	PROPN
ejpam-5639	510	24	3000	3000	NUM
ejpam-5639	510	25	6	6	NUM
ejpam-5639	510	26	16	16	NUM
ejpam-5639	510	27	12	12	NUM
ejpam-5639	510	28	1	1	NUM
ejpam-5639	510	29	2.61e-08	2.61e-08	NUM
ejpam-5639	510	30	0.02	0.02	NUM
ejpam-5639	510	31	41	41	NUM
ejpam-5639	510	32	dixmaanc	dixmaanc	NOUN
ejpam-5639	510	33	3000	3000	NUM
ejpam-5639	510	34	6	6	NUM
ejpam-5639	510	35	14	14	NUM
ejpam-5639	510	36	9	9	NUM
ejpam-5639	510	37	1	1	NUM
ejpam-5639	510	38	2.06e-08	2.06e-08	NUM
ejpam-5639	510	39	0.02	0.02	NUM
ejpam-5639	510	40	42	42	NUM
ejpam-5639	510	41	dixmaand	dixmaand	NOUN
ejpam-5639	510	42	3000	3000	NUM
ejpam-5639	510	43	7	7	NUM
ejpam-5639	510	44	18	18	NUM
ejpam-5639	510	45	13	13	NUM
ejpam-5639	510	46	1	1	NUM
ejpam-5639	510	47	1.12e-07	1.12e-07	NUM
ejpam-5639	510	48	0.02	0.02	NUM
ejpam-5639	510	49	43	43	NUM
ejpam-5639	510	50	dixmaane	dixmaane	NOUN
ejpam-5639	510	51	3000	3000	NUM
ejpam-5639	510	52	218	218	NUM
ejpam-5639	510	53	245	245	NUM
ejpam-5639	510	54	417	417	NUM
ejpam-5639	510	55	1	1	NUM
ejpam-5639	510	56	9e-07	9e-07	NUM
ejpam-5639	510	57	0.05	0.05	NUM
ejpam-5639	510	58	a.	a.	NOUN
ejpam-5639	510	59	alhawarat	alhawarat	NOUN
ejpam-5639	510	60	et	et	PROPN
ejpam-5639	510	61	al	al	PROPN
ejpam-5639	510	62	.	.	PUNCT
ejpam-5639	510	63	/	/	SYM
ejpam-5639	510	64	eur	eur	PROPN
ejpam-5639	510	65	.	.	PUNCT
ejpam-5639	511	1	j.	j.	PROPN
ejpam-5639	511	2	pure	pure	PROPN
ejpam-5639	511	3	appl	appl	PROPN
ejpam-5639	511	4	.	.	PROPN
ejpam-5639	511	5	math	math	PROPN
ejpam-5639	511	6	,	,	PUNCT
ejpam-5639	511	7	18	18	NUM
ejpam-5639	511	8	(	(	PUNCT
ejpam-5639	511	9	1	1	NUM
ejpam-5639	511	10	)	)	PUNCT
ejpam-5639	511	11	(	(	PUNCT
ejpam-5639	511	12	2025	2025	NUM
ejpam-5639	511	13	)	)	PUNCT
ejpam-5639	511	14	,	,	PUNCT
ejpam-5639	511	15	5639	5639	NUM
ejpam-5639	511	16	22	22	NUM
ejpam-5639	511	17	of	of	ADP
ejpam-5639	511	18	27	27	NUM
ejpam-5639	511	19	function	function	NOUN
ejpam-5639	511	20	number	number	NOUN
ejpam-5639	511	21	function	function	NOUN
ejpam-5639	511	22	dim	dim	ADJ
ejpam-5639	511	23	iteration	iteration	NOUN
ejpam-5639	511	24	(	(	PUNCT
ejpam-5639	511	25	hs+ta	hs+ta	NOUN
ejpam-5639	511	26	)	)	PUNCT
ejpam-5639	511	27	fun	fun	NOUN
ejpam-5639	511	28	.	.	PUNCT
ejpam-5639	512	1	evaluations	evaluation	NOUN
ejpam-5639	512	2	grad	grad	NOUN
ejpam-5639	512	3	.	.	PUNCT
ejpam-5639	513	1	evaluations	evaluation	NOUN
ejpam-5639	513	2	final	final	ADJ
ejpam-5639	513	3	f	f	PROPN
ejpam-5639	513	4	final	final	ADJ
ejpam-5639	513	5	g	g	PROPN
ejpam-5639	513	6	time	time	NOUN
ejpam-5639	513	7	44	44	NUM
ejpam-5639	513	8	dixmaanf	dixmaanf	ADJ
ejpam-5639	513	9	3000	3000	NUM
ejpam-5639	513	10	111	111	NUM
ejpam-5639	513	11	227	227	NUM
ejpam-5639	513	12	119	119	NUM
ejpam-5639	513	13	1	1	NUM
ejpam-5639	513	14	9.46e-07	9.46e-07	NUM
ejpam-5639	513	15	0.02	0.02	NUM
ejpam-5639	513	16	45	45	NUM
ejpam-5639	513	17	dixmaang	dixmaang	NOUN
ejpam-5639	513	18	3000	3000	NUM
ejpam-5639	513	19	171	171	NUM
ejpam-5639	513	20	347	347	NUM
ejpam-5639	513	21	179	179	NUM
ejpam-5639	513	22	1	1	NUM
ejpam-5639	513	23	9.88e-07	9.88e-07	NUM
ejpam-5639	513	24	0.02	0.02	NUM
ejpam-5639	513	25	46	46	NUM
ejpam-5639	513	26	dixmaanh	dixmaanh	NOUN
ejpam-5639	513	27	3000	3000	NUM
ejpam-5639	513	28	175	175	NUM
ejpam-5639	513	29	356	356	NUM
ejpam-5639	513	30	185	185	NUM
ejpam-5639	513	31	1	1	NUM
ejpam-5639	513	32	9.89e-07	9.89e-07	NUM
ejpam-5639	513	33	0.02	0.02	NUM
ejpam-5639	513	34	47	47	NUM
ejpam-5639	513	35	dixmaani	dixmaani	NOUN
ejpam-5639	513	36	3000	3000	NUM
ejpam-5639	513	37	3308	3308	NUM
ejpam-5639	513	38	3403	3403	NUM
ejpam-5639	513	39	6529	6529	NUM
ejpam-5639	513	40	1	1	NUM
ejpam-5639	513	41	9.08e-07	9.08e-07	NUM
ejpam-5639	513	42	0.56	0.56	NUM
ejpam-5639	513	43	48	48	NUM
ejpam-5639	513	44	dixon3dq	dixon3dq	PROPN
ejpam-5639	513	45	10000	10000	NUM
ejpam-5639	513	46	10000	10000	NUM
ejpam-5639	513	47	10007	10007	NUM
ejpam-5639	513	48	19995	19995	NUM
ejpam-5639	513	49	3.16e-13	3.16e-13	NUM
ejpam-5639	513	50	7.17e-08	7.17e-08	NUM
ejpam-5639	513	51	2.81	2.81	NUM
ejpam-5639	513	52	49	49	NUM
ejpam-5639	513	53	djtl	djtl	NOUN
ejpam-5639	513	54	2	2	NUM
ejpam-5639	513	55	75	75	NUM
ejpam-5639	513	56	1163	1163	NUM
ejpam-5639	513	57	1148	1148	NUM
ejpam-5639	513	58	-8951.55	-8951.55	PROPN
ejpam-5639	513	59	3.11e-07	3.11e-07	NUM
ejpam-5639	513	60	0.02	0.02	NUM
ejpam-5639	513	61	50	50	NUM
ejpam-5639	513	62	dqdrtic	dqdrtic	ADJ
ejpam-5639	513	63	5000	5000	NUM
ejpam-5639	513	64	5	5	NUM
ejpam-5639	513	65	11	11	NUM
ejpam-5639	513	66	6	6	NUM
ejpam-5639	513	67	3.36e-17	3.36e-17	NUM
ejpam-5639	513	68	1.14e-08	1.14e-08	NUM
ejpam-5639	513	69	0.02	0.02	NUM
ejpam-5639	513	70	51	51	NUM
ejpam-5639	513	71	dqrtic	dqrtic	ADJ
ejpam-5639	513	72	5000	5000	NUM
ejpam-5639	513	73	16	16	NUM
ejpam-5639	513	74	44	44	NUM
ejpam-5639	513	75	36	36	NUM
ejpam-5639	513	76	1.18e-06	1.18e-06	NUM
ejpam-5639	513	77	4.47e-07	4.47e-07	NUM
ejpam-5639	513	78	0.05	0.05	NUM
ejpam-5639	513	79	52	52	NUM
ejpam-5639	513	80	eckerle4ls3	eckerle4ls3	ADJ
ejpam-5639	513	81	2	2	NUM
ejpam-5639	513	82	6	6	NUM
ejpam-5639	513	83	4	4	NUM
ejpam-5639	513	84	0.699696	0.699696	NUM
ejpam-5639	513	85	3.81e-07	3.81e-07	NUM
ejpam-5639	513	86	0.02	0.02	NUM
ejpam-5639	513	87	53	53	NUM
ejpam-5639	513	88	edensch	edensch	NUM
ejpam-5639	513	89	2000	2000	NUM
ejpam-5639	513	90	24	24	NUM
ejpam-5639	513	91	56	56	NUM
ejpam-5639	513	92	48	48	NUM
ejpam-5639	513	93	12003.28	12003.28	NUM
ejpam-5639	513	94	3.24e-07	3.24e-07	NUM
ejpam-5639	513	95	0.02	0.02	NUM
ejpam-5639	513	96	54	54	NUM
ejpam-5639	513	97	eg2	eg2	NOUN
ejpam-5639	513	98	1000	1000	NUM
ejpam-5639	513	99	3	3	NUM
ejpam-5639	513	100	8	8	NUM
ejpam-5639	513	101	5	5	NUM
ejpam-5639	513	102	-998.947	-998.947	NUM
ejpam-5639	513	103	4.88e-07	4.88e-07	NUM
ejpam-5639	513	104	0.02	0.02	NUM
ejpam-5639	513	105	55	55	NUM
ejpam-5639	513	106	eigenals	eigenal	NOUN
ejpam-5639	513	107	2550	2550	NUM
ejpam-5639	513	108	8775	8775	NUM
ejpam-5639	513	109	15326	15326	NUM
ejpam-5639	513	110	11017	11017	NUM
ejpam-5639	513	111	2.11e-10	2.11e-10	NUM
ejpam-5639	513	112	7.02e-07	7.02e-07	NUM
ejpam-5639	513	113	23.2	23.2	NUM
ejpam-5639	513	114	56	56	NUM
ejpam-5639	513	115	eigenbls	eigenbl	VERB
ejpam-5639	513	116	2550	2550	NUM
ejpam-5639	513	117	14010	14010	NUM
ejpam-5639	513	118	28030	28030	NUM
ejpam-5639	513	119	14023	14023	NUM
ejpam-5639	513	120	1.92e-06	1.92e-06	NUM
ejpam-5639	513	121	9.28e-07	9.28e-07	NUM
ejpam-5639	513	122	31.64	31.64	NUM
ejpam-5639	513	123	57	57	NUM
ejpam-5639	513	124	eigencls	eigencls	NOUN
ejpam-5639	513	125	2652	2652	NUM
ejpam-5639	513	126	10008	10008	NUM
ejpam-5639	513	127	19716	19716	NUM
ejpam-5639	513	128	10333	10333	NUM
ejpam-5639	513	129	2.18e-11	2.18e-11	NUM
ejpam-5639	513	130	8.83e-07	8.83e-07	NUM
ejpam-5639	513	131	21.02	21.02	NUM
ejpam-5639	513	132	58	58	NUM
ejpam-5639	513	133	engval1	engval1	NOUN
ejpam-5639	513	134	5000	5000	NUM
ejpam-5639	513	135	20	20	NUM
ejpam-5639	513	136	41	41	NUM
ejpam-5639	513	137	35	35	NUM
ejpam-5639	513	138	5548.668	5548.668	NUM
ejpam-5639	513	139	5.18e-07	5.18e-07	NUM
ejpam-5639	513	140	0.02	0.02	NUM
ejpam-5639	513	141	59	59	NUM
ejpam-5639	513	142	engval2	engval2	NOUN
ejpam-5639	513	143	3	3	NUM
ejpam-5639	513	144	26	26	NUM
ejpam-5639	513	145	73	73	NUM
ejpam-5639	513	146	55	55	NUM
ejpam-5639	513	147	3.27e-23	3.27e-23	NUM
ejpam-5639	513	148	6.59e-10	6.59e-10	NUM
ejpam-5639	513	149	0.02	0.02	NUM
ejpam-5639	513	150	60	60	NUM
ejpam-5639	513	151	ensols	ensol	NOUN
ejpam-5639	513	152	9	9	NUM
ejpam-5639	513	153	22	22	NUM
ejpam-5639	513	154	47	47	NUM
ejpam-5639	513	155	27	27	NUM
ejpam-5639	513	156	788.5398	788.5398	NUM
ejpam-5639	513	157	3.55e-07	3.55e-07	NUM
ejpam-5639	513	158	0.02	0.02	NUM
ejpam-5639	513	159	61	61	NUM
ejpam-5639	513	160	expfit	expfit	NOUN
ejpam-5639	513	161	2	2	NUM
ejpam-5639	513	162	9	9	NUM
ejpam-5639	513	163	29	29	NUM
ejpam-5639	513	164	22	22	NUM
ejpam-5639	513	165	0.240511	0.240511	NUM
ejpam-5639	513	166	3.34e-07	3.34e-07	NUM
ejpam-5639	513	167	0.02	0.02	NUM
ejpam-5639	513	168	62	62	NUM
ejpam-5639	513	169	extrosnb	extrosnb	NOUN
ejpam-5639	513	170	1000	1000	NUM
ejpam-5639	513	171	2063	2063	NUM
ejpam-5639	513	172	4728	4728	NUM
ejpam-5639	513	173	2849	2849	NUM
ejpam-5639	513	174	3.81e-07	3.81e-07	NUM
ejpam-5639	513	175	7.66e-07	7.66e-07	NUM
ejpam-5639	513	176	0.7	0.7	NUM
ejpam-5639	513	177	63	63	NUM
ejpam-5639	513	178	fbrain2ls	fbrain2ls	NOUN
ejpam-5639	513	179	4	4	NUM
ejpam-5639	513	180	79	79	NUM
ejpam-5639	513	181	259	259	NUM
ejpam-5639	514	1	204	204	NUM
ejpam-5639	514	2	0.318972	0.318972	NUM
ejpam-5639	514	3	2.1e-07	2.1e-07	NUM
ejpam-5639	514	4	0.48	0.48	NUM
ejpam-5639	514	5	64	64	NUM
ejpam-5639	514	6	fbrain3ls	fbrain3ls	PROPN
ejpam-5639	514	7	6	6	NUM
ejpam-5639	514	8	1308	1308	NUM
ejpam-5639	514	9	3934	3934	NUM
ejpam-5639	514	10	3080	3080	NUM
ejpam-5639	514	11	0.242722	0.242722	NUM
ejpam-5639	514	12	9.73e-07	9.73e-07	NUM
ejpam-5639	514	13	1.77	1.77	NUM
ejpam-5639	514	14	65	65	NUM
ejpam-5639	514	15	fbrainls	fbrainls	NOUN
ejpam-5639	514	16	2	2	NUM
ejpam-5639	514	17	9	9	NUM
ejpam-5639	514	18	27	27	NUM
ejpam-5639	514	19	21	21	NUM
ejpam-5639	514	20	0.416603	0.416603	NUM
ejpam-5639	514	21	3.37e-07	3.37e-07	NUM
ejpam-5639	514	22	0.03	0.03	NUM
ejpam-5639	514	23	66	66	NUM
ejpam-5639	514	24	fletchcr	fletchcr	NOUN
ejpam-5639	514	25	1000	1000	NUM
ejpam-5639	514	26	209	209	NUM
ejpam-5639	514	27	410	410	NUM
ejpam-5639	514	28	238	238	NUM
ejpam-5639	514	29	7.01e-15	7.01e-15	NUM
ejpam-5639	514	30	8.69e-07	8.69e-07	NUM
ejpam-5639	514	31	0.02	0.02	NUM
ejpam-5639	514	32	67	67	NUM
ejpam-5639	514	33	fminsrf2	fminsrf2	ADJ
ejpam-5639	514	34	5625	5625	NUM
ejpam-5639	514	35	284	284	NUM
ejpam-5639	514	36	578	578	NUM
ejpam-5639	514	37	299	299	NUM
ejpam-5639	514	38	1.000024	1.000024	NUM
ejpam-5639	514	39	9.19e-07	9.19e-07	NUM
ejpam-5639	514	40	0.13	0.13	NUM
ejpam-5639	514	41	68	68	NUM
ejpam-5639	514	42	fminsurf	fminsurf	NOUN
ejpam-5639	514	43	5625	5625	NUM
ejpam-5639	514	44	332	332	NUM
ejpam-5639	514	45	673	673	NUM
ejpam-5639	514	46	345	345	NUM
ejpam-5639	514	47	1	1	NUM
ejpam-5639	514	48	9.45e-07	9.45e-07	NUM
ejpam-5639	514	49	0.16	0.16	NUM
ejpam-5639	514	50	69	69	NUM
ejpam-5639	514	51	freuroth	freuroth	NOUN
ejpam-5639	514	52	5000	5000	NUM
ejpam-5639	514	53	29	29	NUM
ejpam-5639	514	54	64	64	NUM
ejpam-5639	514	55	58	58	NUM
ejpam-5639	514	56	608159.2	608159.2	NUM
ejpam-5639	514	57	8.17e-07	8.17e-07	NUM
ejpam-5639	514	58	0.02	0.02	NUM
ejpam-5639	514	59	70	70	NUM
ejpam-5639	514	60	gauss1ls	gauss1ls	ADJ
ejpam-5639	514	61	8	8	NUM
ejpam-5639	514	62	49	49	NUM
ejpam-5639	514	63	113	113	NUM
ejpam-5639	514	64	74	74	NUM
ejpam-5639	514	65	1315.822	1315.822	NUM
ejpam-5639	514	66	8.44e-09	8.44e-09	NUM
ejpam-5639	514	67	0.02	0.02	NUM
ejpam-5639	514	68	71	71	NUM
ejpam-5639	514	69	gauss2ls	gauss2ls	NOUN
ejpam-5639	514	70	8	8	NUM
ejpam-5639	514	71	49	49	NUM
ejpam-5639	514	72	124	124	NUM
ejpam-5639	514	73	87	87	NUM
ejpam-5639	514	74	1247.528	1247.528	NUM
ejpam-5639	514	75	4.65e-09	4.65e-09	NUM
ejpam-5639	514	76	0.02	0.02	NUM
ejpam-5639	514	77	72	72	NUM
ejpam-5639	514	78	gbrainls	gbrainls	NOUN
ejpam-5639	514	79	2	2	NUM
ejpam-5639	514	80	8	8	NUM
ejpam-5639	514	81	20	20	NUM
ejpam-5639	514	82	13	13	NUM
ejpam-5639	514	83	28.51586	28.51586	NUM
ejpam-5639	514	84	4.33e-08	4.33e-08	NUM
ejpam-5639	514	85	0.02	0.02	NUM
ejpam-5639	514	86	73	73	NUM
ejpam-5639	514	87	genrose	genrose	NOUN
ejpam-5639	514	88	500	500	NUM
ejpam-5639	514	89	1100	1100	NUM
ejpam-5639	514	90	2230	2230	NUM
ejpam-5639	514	91	1170	1170	NUM
ejpam-5639	514	92	1	1	NUM
ejpam-5639	514	93	6.15e-07	6.15e-07	NUM
ejpam-5639	514	94	0.03	0.03	NUM
ejpam-5639	514	95	74	74	NUM
ejpam-5639	514	96	growthls	growthls	NOUN
ejpam-5639	514	97	3	3	NUM
ejpam-5639	514	98	109	109	NUM
ejpam-5639	514	99	431	431	NUM
ejpam-5639	514	100	369	369	NUM
ejpam-5639	514	101	1.004041	1.004041	NUM
ejpam-5639	514	102	6.87e-07	6.87e-07	NUM
ejpam-5639	514	103	0.02	0.02	NUM
ejpam-5639	514	104	75	75	NUM
ejpam-5639	514	105	gulf	gulf	NOUN
ejpam-5639	514	106	3	3	NUM
ejpam-5639	514	107	33	33	NUM
ejpam-5639	514	108	95	95	NUM
ejpam-5639	514	109	72	72	NUM
ejpam-5639	514	110	1.15e-17	1.15e-17	NUM
ejpam-5639	514	111	1.15e-17	1.15e-17	NUM
ejpam-5639	514	112	0.02	0.02	NUM
ejpam-5639	514	113	76	76	NUM
ejpam-5639	514	114	hahn1ls	hahn1ls	NOUN
ejpam-5639	514	115	7	7	NUM
ejpam-5639	514	116	5	5	NUM
ejpam-5639	514	117	56	56	NUM
ejpam-5639	514	118	53	53	NUM
ejpam-5639	514	119	8522.662	8522.662	PROPN
ejpam-5639	514	120	4.03e-08	4.03e-08	NUM
ejpam-5639	514	121	0.02	0.02	NUM
ejpam-5639	514	122	77	77	NUM
ejpam-5639	514	123	hairy	hairy	ADJ
ejpam-5639	514	124	2	2	NUM
ejpam-5639	514	125	17	17	NUM
ejpam-5639	514	126	82	82	NUM
ejpam-5639	514	127	68	68	NUM
ejpam-5639	514	128	20	20	NUM
ejpam-5639	514	129	7.89e-09	7.89e-09	NUM
ejpam-5639	514	130	0.02	0.02	NUM
ejpam-5639	514	131	78	78	NUM
ejpam-5639	514	132	hatfldd	hatfldd	NOUN
ejpam-5639	514	133	3	3	NUM
ejpam-5639	514	134	17	17	NUM
ejpam-5639	514	135	49	49	NUM
ejpam-5639	514	136	37	37	NUM
ejpam-5639	514	137	2.55e-07	2.55e-07	NUM
ejpam-5639	514	138	1.39e-07	1.39e-07	NUM
ejpam-5639	514	139	0.02	0.02	NUM
ejpam-5639	514	140	79	79	NUM
ejpam-5639	514	141	hatflde	hatflde	NOUN
ejpam-5639	514	142	3	3	NUM
ejpam-5639	514	143	13	13	NUM
ejpam-5639	514	144	37	37	NUM
ejpam-5639	514	145	30	30	NUM
ejpam-5639	514	146	2.73e-06	2.73e-06	NUM
ejpam-5639	514	147	3.38e-07	3.38e-07	NUM
ejpam-5639	514	148	0.02	0.02	NUM
ejpam-5639	514	149	80	80	NUM
ejpam-5639	514	150	hatfldfl	hatfldfl	NOUN
ejpam-5639	514	151	3	3	NUM
ejpam-5639	514	152	21	21	NUM
ejpam-5639	514	153	68	68	NUM
ejpam-5639	514	154	54	54	NUM
ejpam-5639	514	155	6.39e-05	6.39e-05	NUM
ejpam-5639	514	156	9.84e-07	9.84e-07	NUM
ejpam-5639	514	157	0.02	0.02	NUM
ejpam-5639	514	158	81	81	NUM
ejpam-5639	514	159	heart6ls	heart6ls	PROPN
ejpam-5639	514	160	6	6	NUM
ejpam-5639	514	161	375	375	NUM
ejpam-5639	514	162	1137	1137	NUM
ejpam-5639	514	163	876	876	NUM
ejpam-5639	514	164	8.8e-17	8.8e-17	NUM
ejpam-5639	514	165	2.23e-07	2.23e-07	NUM
ejpam-5639	514	166	0.02	0.02	NUM
ejpam-5639	514	167	82	82	NUM
ejpam-5639	514	168	heart8ls	heart8ls	NOUN
ejpam-5639	514	169	8	8	NUM
ejpam-5639	514	170	253	253	NUM
ejpam-5639	514	171	657	657	NUM
ejpam-5639	514	172	440	440	NUM
ejpam-5639	514	173	2.97e-16	2.97e-16	NUM
ejpam-5639	514	174	2.3e-07	2.3e-07	NUM
ejpam-5639	514	175	0.02	0.02	NUM
ejpam-5639	514	176	83	83	NUM
ejpam-5639	514	177	helix	helix	NOUN
ejpam-5639	514	178	3	3	NUM
ejpam-5639	514	179	23	23	NUM
ejpam-5639	514	180	60	60	NUM
ejpam-5639	514	181	42	42	NUM
ejpam-5639	514	182	2.88e-19	2.88e-19	NUM
ejpam-5639	514	183	1.3e-08	1.3e-08	NUM
ejpam-5639	514	184	0.02	0.02	NUM
ejpam-5639	514	185	84	84	NUM
ejpam-5639	514	186	hielow	hielow	NOUN
ejpam-5639	514	187	3	3	NUM
ejpam-5639	514	188	13	13	NUM
ejpam-5639	514	189	30	30	NUM
ejpam-5639	514	190	21	21	NUM
ejpam-5639	514	191	874.1654	874.1654	NUM
ejpam-5639	514	192	5.19e-08	5.19e-08	NUM
ejpam-5639	514	193	0.02	0.02	NUM
ejpam-5639	514	194	85	85	NUM
ejpam-5639	514	195	hilberta	hilberta	NOUN
ejpam-5639	514	196	2	2	NUM
ejpam-5639	514	197	2	2	NUM
ejpam-5639	514	198	5	5	NUM
ejpam-5639	514	199	3	3	NUM
ejpam-5639	514	200	5.75e-32	5.75e-32	NUM
ejpam-5639	514	201	5.75e-32	5.75e-32	NUM
ejpam-5639	514	202	0.02	0.02	NUM
ejpam-5639	514	203	86	86	NUM
ejpam-5639	514	204	hilbertb	hilbertb	NOUN
ejpam-5639	514	205	10	10	NUM
ejpam-5639	514	206	4	4	NUM
ejpam-5639	514	207	9	9	NUM
ejpam-5639	514	208	5	5	NUM
ejpam-5639	514	209	9.95e-19	9.95e-19	NUM
ejpam-5639	514	210	2.27e-09	2.27e-09	NUM
ejpam-5639	514	211	0.02	0.02	NUM
ejpam-5639	514	212	a.	a.	NOUN
ejpam-5639	514	213	alhawarat	alhawarat	NOUN
ejpam-5639	514	214	et	et	PROPN
ejpam-5639	514	215	al	al	PROPN
ejpam-5639	514	216	.	.	PUNCT
ejpam-5639	514	217	/	/	SYM
ejpam-5639	514	218	eur	eur	PROPN
ejpam-5639	514	219	.	.	PUNCT
ejpam-5639	515	1	j.	j.	PROPN
ejpam-5639	515	2	pure	pure	PROPN
ejpam-5639	515	3	appl	appl	PROPN
ejpam-5639	515	4	.	.	PROPN
ejpam-5639	515	5	math	math	PROPN
ejpam-5639	515	6	,	,	PUNCT
ejpam-5639	515	7	18	18	NUM
ejpam-5639	515	8	(	(	PUNCT
ejpam-5639	515	9	1	1	NUM
ejpam-5639	515	10	)	)	PUNCT
ejpam-5639	515	11	(	(	PUNCT
ejpam-5639	515	12	2025	2025	NUM
ejpam-5639	515	13	)	)	PUNCT
ejpam-5639	515	14	,	,	PUNCT
ejpam-5639	515	15	5639	5639	NUM
ejpam-5639	515	16	23	23	NUM
ejpam-5639	515	17	of	of	ADP
ejpam-5639	515	18	27	27	NUM
ejpam-5639	515	19	function	function	NOUN
ejpam-5639	515	20	number	number	NOUN
ejpam-5639	515	21	function	function	NOUN
ejpam-5639	515	22	dim	dim	ADJ
ejpam-5639	515	23	iteration	iteration	NOUN
ejpam-5639	515	24	(	(	PUNCT
ejpam-5639	515	25	hs+ta	hs+ta	NOUN
ejpam-5639	515	26	)	)	PUNCT
ejpam-5639	515	27	fun	fun	NOUN
ejpam-5639	515	28	.	.	PUNCT
ejpam-5639	516	1	evaluations	evaluation	NOUN
ejpam-5639	516	2	grad	grad	NOUN
ejpam-5639	516	3	.	.	PUNCT
ejpam-5639	517	1	evaluations	evaluation	NOUN
ejpam-5639	517	2	final	final	ADJ
ejpam-5639	517	3	f	f	PROPN
ejpam-5639	517	4	final	final	ADJ
ejpam-5639	517	5	g	g	PROPN
ejpam-5639	517	6	time	time	NOUN
ejpam-5639	517	7	87	87	NUM
ejpam-5639	517	8	himmelbb	himmelbb	NOUN
ejpam-5639	517	9	2	2	NUM
ejpam-5639	517	10	4	4	NUM
ejpam-5639	517	11	18	18	NUM
ejpam-5639	517	12	18	18	NUM
ejpam-5639	517	13	2.17e-16	2.17e-16	NUM
ejpam-5639	517	14	4.97e-09	4.97e-09	NUM
ejpam-5639	517	15	0.02	0.02	NUM
ejpam-5639	517	16	88	88	NUM
ejpam-5639	517	17	himmelbf	himmelbf	NOUN
ejpam-5639	517	18	4	4	NUM
ejpam-5639	517	19	23	23	NUM
ejpam-5639	517	20	59	59	NUM
ejpam-5639	517	21	46	46	NUM
ejpam-5639	517	22	318.5717	318.5717	NUM
ejpam-5639	517	23	4.39e-07	4.39e-07	NUM
ejpam-5639	517	24	0.02	0.02	NUM
ejpam-5639	517	25	89	89	NUM
ejpam-5639	517	26	himmelbg	himmelbg	NOUN
ejpam-5639	517	27	2	2	NUM
ejpam-5639	517	28	7	7	NUM
ejpam-5639	517	29	22	22	NUM
ejpam-5639	517	30	17	17	NUM
ejpam-5639	517	31	3.04e-22	3.04e-22	NUM
ejpam-5639	517	32	4.92e-11	4.92e-11	NUM
ejpam-5639	517	33	0.02	0.02	NUM
ejpam-5639	517	34	90	90	NUM
ejpam-5639	517	35	himmelbh	himmelbh	NOUN
ejpam-5639	517	36	2	2	NUM
ejpam-5639	517	37	5	5	NUM
ejpam-5639	517	38	13	13	NUM
ejpam-5639	517	39	9	9	NUM
ejpam-5639	517	40	-1	-1	ADP
ejpam-5639	517	41	2.77e-07	2.77e-07	NUM
ejpam-5639	517	42	0.02	0.02	NUM
ejpam-5639	517	43	91	91	NUM
ejpam-5639	517	44	humps	hump	NOUN
ejpam-5639	517	45	2	2	NUM
ejpam-5639	517	46	45	45	NUM
ejpam-5639	517	47	223	223	NUM
ejpam-5639	517	48	202	202	NUM
ejpam-5639	517	49	9.15e-16	9.15e-16	NUM
ejpam-5639	517	50	1.35e-08	1.35e-08	NUM
ejpam-5639	517	51	0.02	0.02	NUM
ejpam-5639	517	52	92	92	NUM
ejpam-5639	517	53	indef	indef	NOUN
ejpam-5639	517	54	5000	5000	NUM
ejpam-5639	517	55	1	1	NUM
ejpam-5639	517	56	46	46	NUM
ejpam-5639	517	57	147	147	NUM
ejpam-5639	517	58	3.184123e314	3.184123e314	NUM
ejpam-5639	517	59	3.184008e314	3.184008e314	NOUN
ejpam-5639	517	60	0.02	0.02	NUM
ejpam-5639	517	61	93	93	NUM
ejpam-5639	517	62	inteqnels	inteqnel	NOUN
ejpam-5639	517	63	502	502	NUM
ejpam-5639	517	64	6	6	NUM
ejpam-5639	517	65	13	13	NUM
ejpam-5639	517	66	7	7	NUM
ejpam-5639	517	67	1.08e-11	1.08e-11	NUM
ejpam-5639	517	68	5.53e-07	5.53e-07	NUM
ejpam-5639	517	69	0.02	0.02	NUM
ejpam-5639	517	70	94	94	NUM
ejpam-5639	517	71	jensmp	jensmp	NOUN
ejpam-5639	517	72	2	2	NUM
ejpam-5639	517	73	12	12	NUM
ejpam-5639	517	74	47	47	NUM
ejpam-5639	517	75	41	41	NUM
ejpam-5639	517	76	124.3622	124.3622	NUM
ejpam-5639	517	77	1.46e-08	1.46e-08	NUM
ejpam-5639	517	78	0.02	0.02	NUM
ejpam-5639	517	79	95	95	NUM
ejpam-5639	517	80	jimack	jimack	NOUN
ejpam-5639	517	81	3549	3549	NUM
ejpam-5639	517	82	8327	8327	NUM
ejpam-5639	517	83	16656	16656	NUM
ejpam-5639	517	84	8329	8329	NUM
ejpam-5639	517	85	0.866793	0.866793	NUM
ejpam-5639	517	86	9.85e-07	9.85e-07	NUM
ejpam-5639	517	87	193.23	193.23	NUM
ejpam-5639	517	88	96	96	NUM
ejpam-5639	517	89	kirby2ls	kirby2ls	NOUN
ejpam-5639	517	90	2	2	NUM
ejpam-5639	517	91	54	54	NUM
ejpam-5639	517	92	222	222	NUM
ejpam-5639	517	93	201	201	NUM
ejpam-5639	517	94	3.905074	3.905074	NUM
ejpam-5639	517	95	3.69e-06	3.69e-06	NUM
ejpam-5639	517	96	0.02	0.02	NUM
ejpam-5639	517	97	97	97	NUM
ejpam-5639	517	98	kowosb	kowosb	NOUN
ejpam-5639	517	99	4	4	NUM
ejpam-5639	517	100	16	16	NUM
ejpam-5639	517	101	46	46	NUM
ejpam-5639	517	102	32	32	NUM
ejpam-5639	517	103	0.000308	0.000308	NUM
ejpam-5639	517	104	9.46e-07	9.46e-07	NUM
ejpam-5639	517	105	0.02	0.02	NUM
ejpam-5639	517	106	98	98	NUM
ejpam-5639	517	107	lanczos1ls6	lanczos1ls6	NOUN
ejpam-5639	517	108	61	61	NUM
ejpam-5639	517	109	177	177	NUM
ejpam-5639	517	110	135	135	NUM
ejpam-5639	517	111	2.83e-07	2.83e-07	NUM
ejpam-5639	517	112	9.05e-07	9.05e-07	NUM
ejpam-5639	517	113	0.02	0.02	NUM
ejpam-5639	517	114	99	99	NUM
ejpam-5639	517	115	lanczos2ls6	lanczos2ls6	NOUN
ejpam-5639	517	116	60	60	NUM
ejpam-5639	517	117	169	169	NUM
ejpam-5639	517	118	125	125	NUM
ejpam-5639	517	119	2.75e-07	2.75e-07	NUM
ejpam-5639	517	120	7.32e-07	7.32e-07	NUM
ejpam-5639	517	121	0.02	0.02	NUM
ejpam-5639	517	122	100	100	NUM
ejpam-5639	517	123	lanczos3ls6	lanczos3ls6	NOUN
ejpam-5639	517	124	61	61	NUM
ejpam-5639	517	125	164	164	NUM
ejpam-5639	517	126	118	118	NUM
ejpam-5639	517	127	3.41e-07	3.41e-07	NUM
ejpam-5639	517	128	5.02e-07	5.02e-07	NUM
ejpam-5639	517	129	0.02	0.02	NUM
ejpam-5639	517	130	101	101	NUM
ejpam-5639	517	131	loghairy	loghairy	NOUN
ejpam-5639	517	132	2	2	NUM
ejpam-5639	517	133	26	26	NUM
ejpam-5639	517	134	196	196	NUM
ejpam-5639	517	135	179	179	NUM
ejpam-5639	517	136	0.182322	0.182322	NUM
ejpam-5639	517	137	7.9e-07	7.9e-07	PROPN
ejpam-5639	517	138	0.02	0.02	NUM
ejpam-5639	517	139	102	102	NUM
ejpam-5639	517	140	lsc1ls	lsc1ls	NOUN
ejpam-5639	517	141	3	3	NUM
ejpam-5639	517	142	31	31	NUM
ejpam-5639	517	143	108	108	NUM
ejpam-5639	517	144	89	89	NUM
ejpam-5639	517	145	7.711852	7.711852	NUM
ejpam-5639	517	146	1.73e-07	1.73e-07	NUM
ejpam-5639	517	147	0.02	0.02	NUM
ejpam-5639	517	148	103	103	NUM
ejpam-5639	517	149	lsc2ls	lsc2ls	NOUN
ejpam-5639	517	150	3	3	NUM
ejpam-5639	517	151	37	37	NUM
ejpam-5639	517	152	106	106	NUM
ejpam-5639	517	153	86	86	NUM
ejpam-5639	517	154	13.33387	13.33387	NUM
ejpam-5639	517	155	2.98e-08	2.98e-08	NUM
ejpam-5639	517	156	0.02	0.02	NUM
ejpam-5639	517	157	104	104	NUM
ejpam-5639	517	158	mancino	mancino	NOUN
ejpam-5639	517	159	100	100	NUM
ejpam-5639	517	160	12	12	NUM
ejpam-5639	517	161	30	30	NUM
ejpam-5639	517	162	19	19	NUM
ejpam-5639	517	163	1.95e-21	1.95e-21	NUM
ejpam-5639	517	164	5.14e-08	5.14e-08	NUM
ejpam-5639	517	165	0.02	0.02	NUM
ejpam-5639	517	166	105	105	NUM
ejpam-5639	517	167	maratosb	maratosb	NOUN
ejpam-5639	517	168	2	2	NUM
ejpam-5639	517	169	589	589	NUM
ejpam-5639	517	170	2885	2885	NUM
ejpam-5639	517	171	2585	2585	NUM
ejpam-5639	517	172	-1	-1	ADP
ejpam-5639	517	173	4.08e-07	4.08e-07	NUM
ejpam-5639	517	174	0.02	0.02	NUM
ejpam-5639	517	175	106	106	NUM
ejpam-5639	517	176	mexhat	mexhat	ADP
ejpam-5639	517	177	2	2	NUM
ejpam-5639	517	178	14	14	NUM
ejpam-5639	517	179	59	59	NUM
ejpam-5639	517	180	55	55	NUM
ejpam-5639	517	181	-0.04001	-0.04001	NOUN
ejpam-5639	518	1	1.01e-08	1.01e-08	NUM
ejpam-5639	518	2	0.02	0.02	NUM
ejpam-5639	518	3	107	107	NUM
ejpam-5639	518	4	meyer3	meyer3	NOUN
ejpam-5639	518	5	3	3	NUM
ejpam-5639	518	6	19	19	NUM
ejpam-5639	518	7	76	76	NUM
ejpam-5639	518	8	63	63	NUM
ejpam-5639	518	9	9.387247e323	9.387247e323	NUM
ejpam-5639	518	10	6.952756e310	6.952756e310	NUM
ejpam-5639	518	11	0.02	0.02	NUM
ejpam-5639	518	12	108	108	NUM
ejpam-5639	518	13	mgh09ls	mgh09ls	NOUN
ejpam-5639	518	14	4	4	NUM
ejpam-5639	518	15	25	25	NUM
ejpam-5639	518	16	82	82	NUM
ejpam-5639	518	17	72	72	NUM
ejpam-5639	518	18	0.001019	0.001019	NUM
ejpam-5639	518	19	4.57e-07	4.57e-07	NUM
ejpam-5639	518	20	0.02	0.02	NUM
ejpam-5639	518	21	109	109	NUM
ejpam-5639	518	22	mgh10sls	mgh10sls	PROPN
ejpam-5639	518	23	19	19	NUM
ejpam-5639	518	24	1082	1082	NUM
ejpam-5639	518	25	4052	4052	NUM
ejpam-5639	518	26	4968	4968	NUM
ejpam-5639	519	1	1.29e+09	1.29e+09	NUM
ejpam-5639	519	2	6.04e-20	6.04e-20	NUM
ejpam-5639	519	3	0.02	0.02	NUM
ejpam-5639	519	4	110	110	NUM
ejpam-5639	519	5	mgh17ls	mgh17ls	NOUN
ejpam-5639	519	6	5	5	NUM
ejpam-5639	519	7	84	84	NUM
ejpam-5639	519	8	323	323	NUM
ejpam-5639	519	9	265	265	NUM
ejpam-5639	519	10	0.024518	0.024518	NUM
ejpam-5639	519	11	1.55e-07	1.55e-07	NUM
ejpam-5639	519	12	0.02	0.02	NUM
ejpam-5639	519	13	111	111	NUM
ejpam-5639	519	14	misra1als	misra1al	NOUN
ejpam-5639	519	15	2	2	NUM
ejpam-5639	519	16	33	33	NUM
ejpam-5639	519	17	147	147	NUM
ejpam-5639	519	18	145	145	NUM
ejpam-5639	519	19	0.124551	0.124551	NUM
ejpam-5639	519	20	2.38e-09	2.38e-09	NUM
ejpam-5639	519	21	0.02	0.02	NUM
ejpam-5639	519	22	112	112	NUM
ejpam-5639	519	23	misra1bls	misra1bls	NOUN
ejpam-5639	519	24	2	2	NUM
ejpam-5639	519	25	26	26	NUM
ejpam-5639	519	26	113	113	NUM
ejpam-5639	519	27	101	101	NUM
ejpam-5639	519	28	0.075465	0.075465	NUM
ejpam-5639	519	29	5.97e-09	5.97e-09	NUM
ejpam-5639	519	30	0.02	0.02	NUM
ejpam-5639	519	31	113	113	NUM
ejpam-5639	519	32	morebv	morebv	NOUN
ejpam-5639	519	33	5000	5000	NUM
ejpam-5639	519	34	161	161	NUM
ejpam-5639	519	35	168	168	NUM
ejpam-5639	519	36	317	317	NUM
ejpam-5639	519	37	1.09e-10	1.09e-10	NUM
ejpam-5639	519	38	9.94e-07	9.94e-07	NUM
ejpam-5639	519	39	0.3	0.3	NUM
ejpam-5639	519	40	114	114	NUM
ejpam-5639	519	41	msqrtals	msqrtal	NOUN
ejpam-5639	519	42	1024	1024	NUM
ejpam-5639	519	43	2795	2795	NUM
ejpam-5639	519	44	5599	5599	NUM
ejpam-5639	519	45	2806	2806	NUM
ejpam-5639	519	46	6.72e-10	6.72e-10	NUM
ejpam-5639	519	47	9.2e-07	9.2e-07	NUM
ejpam-5639	519	48	1.09	1.09	NUM
ejpam-5639	519	49	115	115	NUM
ejpam-5639	519	50	msqrtbls	msqrtbls	ADJ
ejpam-5639	519	51	1024	1024	NUM
ejpam-5639	519	52	2235	2235	NUM
ejpam-5639	519	53	4476	4476	NUM
ejpam-5639	519	54	2247	2247	NUM
ejpam-5639	519	55	1.7e-10	1.7e-10	NUM
ejpam-5639	519	56	9.71e-07	9.71e-07	NUM
ejpam-5639	519	57	0.95	0.95	NUM
ejpam-5639	519	58	116	116	NUM
ejpam-5639	519	59	ncb20	ncb20	NOUN
ejpam-5639	519	60	5010	5010	NUM
ejpam-5639	519	61	906	906	NUM
ejpam-5639	519	62	2105	2105	NUM
ejpam-5639	519	63	1348	1348	NUM
ejpam-5639	519	64	-82.2049	-82.2049	SYM
ejpam-5639	519	65	9.39e-07	9.39e-07	NUM
ejpam-5639	519	66	0.02	0.02	NUM
ejpam-5639	519	67	117	117	NUM
ejpam-5639	519	68	nelsonls	nelsonls	NOUN
ejpam-5639	519	69	3	3	NUM
ejpam-5639	519	70	1101	1101	NUM
ejpam-5639	519	71	5415	5415	NUM
ejpam-5639	519	72	7690	7690	NUM
ejpam-5639	519	73	25.60412	25.60412	NUM
ejpam-5639	519	74	4.25e-29	4.25e-29	NUM
ejpam-5639	519	75	0.2	0.2	NUM
ejpam-5639	519	76	118	118	NUM
ejpam-5639	519	77	noncvxu2	noncvxu2	NOUN
ejpam-5639	519	78	5000	5000	NUM
ejpam-5639	519	79	6476	6476	NUM
ejpam-5639	519	80	12572	12572	NUM
ejpam-5639	519	81	6855	6855	NUM
ejpam-5639	519	82	11584.55	11584.55	NUM
ejpam-5639	519	83	9.83e-07	9.83e-07	NUM
ejpam-5639	519	84	3.02	3.02	NUM
ejpam-5639	519	85	119	119	NUM
ejpam-5639	519	86	nondquar	nondquar	NOUN
ejpam-5639	519	87	5000	5000	NUM
ejpam-5639	519	88	2575	2575	NUM
ejpam-5639	519	89	5220	5220	NUM
ejpam-5639	519	90	2691	2691	NUM
ejpam-5639	519	91	3.09e-06	3.09e-06	NUM
ejpam-5639	519	92	7.14e-07	7.14e-07	NUM
ejpam-5639	519	93	0.55	0.55	NUM
ejpam-5639	519	94	120	120	NUM
ejpam-5639	519	95	osbornea	osbornea	NOUN
ejpam-5639	519	96	5	5	NUM
ejpam-5639	519	97	82	82	NUM
ejpam-5639	519	98	230	230	NUM
ejpam-5639	519	99	174	174	NUM
ejpam-5639	519	100	5.46e-05	5.46e-05	NUM
ejpam-5639	519	101	1.94e-07	1.94e-07	NUM
ejpam-5639	519	102	0.02	0.02	NUM
ejpam-5639	519	103	121	121	NUM
ejpam-5639	519	104	osborneb	osborneb	NOUN
ejpam-5639	519	105	11	11	NUM
ejpam-5639	519	106	57	57	NUM
ejpam-5639	519	107	134	134	NUM
ejpam-5639	519	108	84	84	NUM
ejpam-5639	519	109	0.040138	0.040138	NUM
ejpam-5639	519	110	7.26e-07	7.26e-07	NUM
ejpam-5639	519	111	0.02	0.02	NUM
ejpam-5639	519	112	122	122	NUM
ejpam-5639	519	113	oscigrad	oscigrad	ADJ
ejpam-5639	519	114	100000	100000	NUM
ejpam-5639	519	115	117	117	NUM
ejpam-5639	519	116	191	191	NUM
ejpam-5639	519	117	201	201	NUM
ejpam-5639	519	118	77276.13	77276.13	NUM
ejpam-5639	519	119	9.71e-07	9.71e-07	NUM
ejpam-5639	519	120	6.48	6.48	NUM
ejpam-5639	519	121	123	123	NUM
ejpam-5639	519	122	oscipath	oscipath	ADV
ejpam-5639	519	123	500	500	NUM
ejpam-5639	519	124	10	10	NUM
ejpam-5639	519	125	20	20	NUM
ejpam-5639	519	126	14	14	NUM
ejpam-5639	519	127	0.999967	0.999967	NUM
ejpam-5639	519	128	9.3e-07	9.3e-07	NUM
ejpam-5639	519	129	0.02	0.02	NUM
ejpam-5639	519	130	124	124	NUM
ejpam-5639	519	131	palmer1c	palmer1c	NOUN
ejpam-5639	519	132	8	8	NUM
ejpam-5639	519	133	12	12	NUM
ejpam-5639	519	134	27	27	NUM
ejpam-5639	519	135	28	28	NUM
ejpam-5639	519	136	0.097605	0.097605	NUM
ejpam-5639	519	137	1.28e-07	1.28e-07	NUM
ejpam-5639	519	138	0.02	0.02	NUM
ejpam-5639	519	139	125	125	NUM
ejpam-5639	519	140	palmer1d	palmer1d	NOUN
ejpam-5639	519	141	7	7	NUM
ejpam-5639	519	142	10	10	NUM
ejpam-5639	519	143	24	24	NUM
ejpam-5639	519	144	23	23	NUM
ejpam-5639	519	145	0.652674	0.652674	NUM
ejpam-5639	519	146	8.27e-11	8.27e-11	NUM
ejpam-5639	519	147	0.02	0.02	NUM
ejpam-5639	519	148	126	126	NUM
ejpam-5639	519	149	palmer2c	palmer2c	NOUN
ejpam-5639	519	150	8	8	NUM
ejpam-5639	519	151	11	11	NUM
ejpam-5639	519	152	21	21	NUM
ejpam-5639	519	153	22	22	NUM
ejpam-5639	519	154	0.024369	0.024369	NUM
ejpam-5639	519	155	2.2e-09	2.2e-09	NUM
ejpam-5639	519	156	0.02	0.02	NUM
ejpam-5639	519	157	127	127	NUM
ejpam-5639	519	158	palmer3c	palmer3c	NOUN
ejpam-5639	519	159	8	8	NUM
ejpam-5639	519	160	11	11	NUM
ejpam-5639	519	161	21	21	NUM
ejpam-5639	519	162	21	21	NUM
ejpam-5639	519	163	0.029538	0.029538	NUM
ejpam-5639	519	164	7.92e-10	7.92e-10	NUM
ejpam-5639	519	165	0.02	0.02	NUM
ejpam-5639	519	166	128	128	NUM
ejpam-5639	519	167	palmer4c	palmer4c	ADJ
ejpam-5639	519	168	8	8	NUM
ejpam-5639	519	169	11	11	NUM
ejpam-5639	519	170	21	21	NUM
ejpam-5639	519	171	21	21	NUM
ejpam-5639	519	172	0.050311	0.050311	NUM
ejpam-5639	519	173	3.55e-09	3.55e-09	NUM
ejpam-5639	519	174	0.02	0.02	NUM
ejpam-5639	519	175	a.	a.	NOUN
ejpam-5639	519	176	alhawarat	alhawarat	NOUN
ejpam-5639	519	177	et	et	PROPN
ejpam-5639	519	178	al	al	PROPN
ejpam-5639	519	179	.	.	PUNCT
ejpam-5639	519	180	/	/	SYM
ejpam-5639	519	181	eur	eur	PROPN
ejpam-5639	519	182	.	.	PUNCT
ejpam-5639	520	1	j.	j.	PROPN
ejpam-5639	520	2	pure	pure	PROPN
ejpam-5639	520	3	appl	appl	PROPN
ejpam-5639	520	4	.	.	PROPN
ejpam-5639	520	5	math	math	PROPN
ejpam-5639	520	6	,	,	PUNCT
ejpam-5639	520	7	18	18	NUM
ejpam-5639	520	8	(	(	PUNCT
ejpam-5639	520	9	1	1	NUM
ejpam-5639	520	10	)	)	PUNCT
ejpam-5639	520	11	(	(	PUNCT
ejpam-5639	520	12	2025	2025	NUM
ejpam-5639	520	13	)	)	PUNCT
ejpam-5639	520	14	,	,	PUNCT
ejpam-5639	520	15	5639	5639	NUM
ejpam-5639	520	16	24	24	NUM
ejpam-5639	520	17	of	of	ADP
ejpam-5639	520	18	27	27	NUM
ejpam-5639	520	19	function	function	NOUN
ejpam-5639	520	20	number	number	NOUN
ejpam-5639	520	21	function	function	NOUN
ejpam-5639	520	22	dim	dim	ADJ
ejpam-5639	520	23	iteration	iteration	NOUN
ejpam-5639	520	24	(	(	PUNCT
ejpam-5639	520	25	hs+ta	hs+ta	NOUN
ejpam-5639	520	26	)	)	PUNCT
ejpam-5639	520	27	fun	fun	NOUN
ejpam-5639	520	28	.	.	PUNCT
ejpam-5639	521	1	evaluations	evaluation	NOUN
ejpam-5639	521	2	grad	grad	NOUN
ejpam-5639	521	3	.	.	PUNCT
ejpam-5639	522	1	evaluations	evaluation	NOUN
ejpam-5639	522	2	final	final	ADJ
ejpam-5639	522	3	f	f	PROPN
ejpam-5639	522	4	final	final	ADJ
ejpam-5639	522	5	g	g	PROPN
ejpam-5639	522	6	time	time	NOUN
ejpam-5639	522	7	129	129	NUM
ejpam-5639	522	8	palmer5c	palmer5c	NOUN
ejpam-5639	522	9	6	6	NUM
ejpam-5639	522	10	6	6	NUM
ejpam-5639	522	11	13	13	NUM
ejpam-5639	522	12	7	7	NUM
ejpam-5639	522	13	2.128087	2.128087	NUM
ejpam-5639	522	14	3.75e-12	3.75e-12	NUM
ejpam-5639	522	15	0.02	0.02	NUM
ejpam-5639	522	16	130	130	NUM
ejpam-5639	522	17	palmer6c	palmer6c	PROPN
ejpam-5639	522	18	8	8	NUM
ejpam-5639	522	19	11	11	NUM
ejpam-5639	522	20	24	24	NUM
ejpam-5639	522	21	24	24	NUM
ejpam-5639	522	22	0.026387	0.026387	NUM
ejpam-5639	522	23	1.88e-08	1.88e-08	NUM
ejpam-5639	522	24	0.02	0.02	NUM
ejpam-5639	522	25	131	131	NUM
ejpam-5639	522	26	palmer7c	palmer7c	PROPN
ejpam-5639	522	27	8	8	NUM
ejpam-5639	522	28	11	11	NUM
ejpam-5639	522	29	20	20	NUM
ejpam-5639	522	30	20	20	NUM
ejpam-5639	522	31	0.601987	0.601987	NUM
ejpam-5639	522	32	1.52e-07	1.52e-07	NUM
ejpam-5639	522	33	0.02	0.02	NUM
ejpam-5639	522	34	132	132	NUM
ejpam-5639	522	35	palmer8c	palmer8c	ADJ
ejpam-5639	522	36	8	8	NUM
ejpam-5639	522	37	11	11	NUM
ejpam-5639	522	38	19	19	NUM
ejpam-5639	522	39	19	19	NUM
ejpam-5639	522	40	0.159768	0.159768	NUM
ejpam-5639	522	41	2.75e-09	2.75e-09	NUM
ejpam-5639	522	42	0.02	0.02	NUM
ejpam-5639	522	43	133	133	NUM
ejpam-5639	522	44	parkch	parkch	NOUN
ejpam-5639	522	45	15	15	NUM
ejpam-5639	522	46	699	699	NUM
ejpam-5639	522	47	1501	1501	NUM
ejpam-5639	522	48	1190	1190	NUM
ejpam-5639	522	49	1623.743	1623.743	NUM
ejpam-5639	522	50	9.84e-07	9.84e-07	NUM
ejpam-5639	522	51	1.38	1.38	NUM
ejpam-5639	522	52	134	134	NUM
ejpam-5639	522	53	penalty2	penalty2	NOUN
ejpam-5639	522	54	200	200	NUM
ejpam-5639	522	55	191	191	NUM
ejpam-5639	522	56	225	225	NUM
ejpam-5639	522	57	363	363	NUM
ejpam-5639	522	58	4.71e+13	4.71e+13	NUM
ejpam-5639	522	59	8.84e-07	8.84e-07	NUM
ejpam-5639	522	60	0.02	0.02	NUM
ejpam-5639	522	61	135	135	NUM
ejpam-5639	522	62	penalty3	penalty3	NOUN
ejpam-5639	522	63	200	200	NUM
ejpam-5639	522	64	104	104	NUM
ejpam-5639	522	65	323	323	NUM
ejpam-5639	522	66	256	256	NUM
ejpam-5639	522	67	0.000999	0.000999	NUM
ejpam-5639	522	68	3.82e-07	3.82e-07	NUM
ejpam-5639	522	69	1.94	1.94	NUM
ejpam-5639	522	70	136	136	NUM
ejpam-5639	522	71	powellbsls2	powellbsls2	NOUN
ejpam-5639	522	72	50	50	NUM
ejpam-5639	522	73	211	211	NUM
ejpam-5639	522	74	234	234	NUM
ejpam-5639	522	75	1.14e-07	1.14e-07	NUM
ejpam-5639	522	76	3.02e-07	3.02e-07	NUM
ejpam-5639	522	77	0.02	0.02	NUM
ejpam-5639	522	78	137	137	NUM
ejpam-5639	522	79	power	power	NOUN
ejpam-5639	522	80	10000	10000	NUM
ejpam-5639	522	81	358	358	NUM
ejpam-5639	522	82	730	730	NUM
ejpam-5639	522	83	379	379	NUM
ejpam-5639	522	84	1.74e-09	1.74e-09	NUM
ejpam-5639	522	85	9.4e-07	9.4e-07	NOUN
ejpam-5639	522	86	0.11	0.11	NUM
ejpam-5639	522	87	138	138	NUM
ejpam-5639	522	88	powersum	powersum	NOUN
ejpam-5639	522	89	4	4	NUM
ejpam-5639	522	90	4	4	NUM
ejpam-5639	522	91	10	10	NUM
ejpam-5639	522	92	6	6	NUM
ejpam-5639	522	93	37.43145	37.43145	NUM
ejpam-5639	522	94	8.13e-09	8.13e-09	NUM
ejpam-5639	522	95	0.02	0.02	NUM
ejpam-5639	522	96	139	139	NUM
ejpam-5639	522	97	price3	price3	NOUN
ejpam-5639	522	98	2	2	NUM
ejpam-5639	522	99	10	10	NUM
ejpam-5639	522	100	25	25	NUM
ejpam-5639	522	101	17	17	NUM
ejpam-5639	522	102	3.41e-18	3.41e-18	NUM
ejpam-5639	522	103	3.19e-08	3.19e-08	NUM
ejpam-5639	522	104	0.02	0.02	NUM
ejpam-5639	522	105	140	140	NUM
ejpam-5639	522	106	price4	price4	NOUN
ejpam-5639	522	107	2	2	NUM
ejpam-5639	522	108	9	9	NUM
ejpam-5639	522	109	30	30	NUM
ejpam-5639	522	110	23	23	NUM
ejpam-5639	522	111	3.42e-24	3.42e-24	NUM
ejpam-5639	522	112	3.13e-10	3.13e-10	NUM
ejpam-5639	522	113	0.02	0.02	NUM
ejpam-5639	522	114	141	141	NUM
ejpam-5639	522	115	qing	qe	VERB
ejpam-5639	522	116	100	100	NUM
ejpam-5639	522	117	67	67	NUM
ejpam-5639	522	118	134	134	NUM
ejpam-5639	522	119	85	85	NUM
ejpam-5639	522	120	2.62e-14	2.62e-14	NUM
ejpam-5639	522	121	7.84e-07	7.84e-07	NUM
ejpam-5639	522	122	0.02	0.02	NUM
ejpam-5639	522	123	142	142	NUM
ejpam-5639	522	124	quartc	quartc	NOUN
ejpam-5639	522	125	5000	5000	NUM
ejpam-5639	522	126	16	16	NUM
ejpam-5639	522	127	44	44	NUM
ejpam-5639	522	128	36	36	NUM
ejpam-5639	522	129	1.18e-06	1.18e-06	NUM
ejpam-5639	522	130	4.47e-07	4.47e-07	NUM
ejpam-5639	522	131	0.03	0.03	NUM
ejpam-5639	522	132	143	143	NUM
ejpam-5639	522	133	rat42ls	rat42ls	NOUN
ejpam-5639	522	134	3	3	NUM
ejpam-5639	522	135	18	18	NUM
ejpam-5639	522	136	53	53	NUM
ejpam-5639	522	137	44	44	NUM
ejpam-5639	522	138	8.056523	8.056523	NUM
ejpam-5639	522	139	1.36e-07	1.36e-07	NUM
ejpam-5639	522	140	0.02	0.02	NUM
ejpam-5639	522	141	144	144	NUM
ejpam-5639	522	142	rat43ls	rat43ls	NOUN
ejpam-5639	522	143	4	4	NUM
ejpam-5639	522	144	44	44	NUM
ejpam-5639	522	145	156	156	NUM
ejpam-5639	522	146	122	122	NUM
ejpam-5639	522	147	8786.405	8786.405	NUM
ejpam-5639	522	148	1.17e-07	1.17e-07	NUM
ejpam-5639	522	149	0.02	0.02	NUM
ejpam-5639	522	150	145	145	NUM
ejpam-5639	522	151	recipels	recipel	NOUN
ejpam-5639	522	152	3	3	NUM
ejpam-5639	522	153	16	16	NUM
ejpam-5639	522	154	49	49	NUM
ejpam-5639	522	155	38	38	NUM
ejpam-5639	523	1	5.12e-13	5.12e-13	NUM
ejpam-5639	523	2	7.12e-07	7.12e-07	NUM
ejpam-5639	523	3	0.02	0.02	NUM
ejpam-5639	523	4	146	146	NUM
ejpam-5639	523	5	rosenbr	rosenbr	ADJ
ejpam-5639	523	6	2	2	NUM
ejpam-5639	523	7	28	28	NUM
ejpam-5639	523	8	84	84	NUM
ejpam-5639	523	9	65	65	NUM
ejpam-5639	523	10	5.87e-16	5.87e-16	NUM
ejpam-5639	523	11	7.61e-07	7.61e-07	NUM
ejpam-5639	523	12	0.02	0.02	NUM
ejpam-5639	523	13	147	147	NUM
ejpam-5639	523	14	rosenbrtu2	rosenbrtu2	NOUN
ejpam-5639	523	15	37	37	NUM
ejpam-5639	523	16	175	175	NUM
ejpam-5639	523	17	153	153	NUM
ejpam-5639	523	18	3.24e-14	3.24e-14	NUM
ejpam-5639	523	19	1.44e-07	1.44e-07	NUM
ejpam-5639	523	20	0.02	0.02	NUM
ejpam-5639	523	21	148	148	NUM
ejpam-5639	523	22	roszman1ls4	roszman1ls4	NOUN
ejpam-5639	523	23	27	27	NUM
ejpam-5639	523	24	85	85	NUM
ejpam-5639	523	25	66	66	NUM
ejpam-5639	523	26	0.039541	0.039541	NUM
ejpam-5639	523	27	1e-08	1e-08	NOUN
ejpam-5639	523	28	0.02	0.02	NUM
ejpam-5639	523	29	149	149	NUM
ejpam-5639	523	30	s308	s308	NUM
ejpam-5639	523	31	2	2	NUM
ejpam-5639	523	32	7	7	NUM
ejpam-5639	523	33	21	21	NUM
ejpam-5639	523	34	17	17	NUM
ejpam-5639	523	35	0.773199	0.773199	NUM
ejpam-5639	523	36	3.3e-09	3.3e-09	NUM
ejpam-5639	523	37	0.02	0.02	NUM
ejpam-5639	523	38	150	150	NUM
ejpam-5639	523	39	schmvett	schmvett	NOUN
ejpam-5639	523	40	5000	5000	NUM
ejpam-5639	523	41	41	41	NUM
ejpam-5639	523	42	71	71	NUM
ejpam-5639	523	43	58	58	NUM
ejpam-5639	524	1	-14994	-14994	NOUN
ejpam-5639	525	1	9.53e-07	9.53e-07	NUM
ejpam-5639	525	2	0.02	0.02	NUM
ejpam-5639	525	3	151	151	NUM
ejpam-5639	525	4	sensors	sensor	NOUN
ejpam-5639	525	5	100	100	NUM
ejpam-5639	525	6	26	26	NUM
ejpam-5639	525	7	67	67	NUM
ejpam-5639	525	8	47	47	NUM
ejpam-5639	525	9	-2079	-2079	PROPN
ejpam-5639	525	10	1.64e-07	1.64e-07	NUM
ejpam-5639	525	11	0.06	0.06	NUM
ejpam-5639	525	12	152	152	NUM
ejpam-5639	525	13	sineval	sineval	NOUN
ejpam-5639	525	14	2	2	NUM
ejpam-5639	525	15	46	46	NUM
ejpam-5639	525	16	181	181	NUM
ejpam-5639	525	17	153	153	NUM
ejpam-5639	525	18	1.49e-23	1.49e-23	NUM
ejpam-5639	525	19	1.55e-10	1.55e-10	NUM
ejpam-5639	525	20	0.02	0.02	NUM
ejpam-5639	525	21	153	153	NUM
ejpam-5639	525	22	sinquad	sinquad	ADJ
ejpam-5639	525	23	5000	5000	NUM
ejpam-5639	525	24	15	15	NUM
ejpam-5639	525	25	44	44	NUM
ejpam-5639	525	26	36	36	NUM
ejpam-5639	525	27	-6757014	-6757014	NOUN
ejpam-5639	525	28	1.12e-08	1.12e-08	NUM
ejpam-5639	525	29	0.02	0.02	NUM
ejpam-5639	525	30	154	154	NUM
ejpam-5639	525	31	sisser	sisser	NOUN
ejpam-5639	525	32	2	2	NUM
ejpam-5639	525	33	5	5	NUM
ejpam-5639	525	34	19	19	NUM
ejpam-5639	525	35	19	19	NUM
ejpam-5639	525	36	4.6e-10	4.6e-10	NUM
ejpam-5639	525	37	4.93e-07	4.93e-07	NUM
ejpam-5639	525	38	0.02	0.02	NUM
ejpam-5639	525	39	155	155	NUM
ejpam-5639	525	40	snail	snail	NOUN
ejpam-5639	525	41	2	2	NUM
ejpam-5639	525	42	61	61	NUM
ejpam-5639	525	43	251	251	NUM
ejpam-5639	525	44	211	211	NUM
ejpam-5639	525	45	7e-17	7e-17	NUM
ejpam-5639	525	46	1.59e-08	1.59e-08	NUM
ejpam-5639	525	47	0.02	0.02	NUM
ejpam-5639	525	48	156	156	NUM
ejpam-5639	525	49	sparsine	sparsine	ADJ
ejpam-5639	525	50	5000	5000	NUM
ejpam-5639	525	51	25740	25740	NUM
ejpam-5639	525	52	26045	26045	NUM
ejpam-5639	525	53	51185	51185	NUM
ejpam-5639	525	54	1.15e-10	1.15e-10	NUM
ejpam-5639	525	55	8.98e-07	8.98e-07	NUM
ejpam-5639	525	56	14.19	14.19	NUM
ejpam-5639	525	57	157	157	NUM
ejpam-5639	525	58	sparsqur	sparsqur	NOUN
ejpam-5639	525	59	10000	10000	NUM
ejpam-5639	525	60	17	17	NUM
ejpam-5639	525	61	70	70	NUM
ejpam-5639	525	62	70	70	NUM
ejpam-5639	525	63	2.75e-10	2.75e-10	NUM
ejpam-5639	525	64	1.33e-07	1.33e-07	NUM
ejpam-5639	525	65	0.02	0.02	NUM
ejpam-5639	525	66	158	158	NUM
ejpam-5639	525	67	spmsrtls	spmsrtls	NOUN
ejpam-5639	525	68	49999	49999	NUM
ejpam-5639	525	69	204	204	NUM
ejpam-5639	525	70	413	413	NUM
ejpam-5639	525	71	227	227	NUM
ejpam-5639	525	72	3.49e-11	3.49e-11	NUM
ejpam-5639	525	73	9.41e-07	9.41e-07	NUM
ejpam-5639	525	74	0.06	0.06	NUM
ejpam-5639	525	75	159	159	NUM
ejpam-5639	525	76	srosenbr	srosenbr	NOUN
ejpam-5639	525	77	5000	5000	NUM
ejpam-5639	525	78	9	9	NUM
ejpam-5639	525	79	23	23	NUM
ejpam-5639	525	80	15	15	NUM
ejpam-5639	525	81	1.3e-12	1.3e-12	PROPN
ejpam-5639	525	82	7.94e-07	7.94e-07	NUM
ejpam-5639	525	83	0.02	0.02	NUM
ejpam-5639	525	84	160	160	NUM
ejpam-5639	525	85	ssbrybnd	ssbrybnd	ADJ
ejpam-5639	525	86	5000	5000	NUM
ejpam-5639	525	87	9465	9465	NUM
ejpam-5639	525	88	16566	16566	NUM
ejpam-5639	525	89	14479	14479	NUM
ejpam-5639	525	90	6.13e-15	6.13e-15	NUM
ejpam-5639	525	91	9.31e-07	9.31e-07	NUM
ejpam-5639	525	92	4.56	4.56	NUM
ejpam-5639	525	93	161	161	NUM
ejpam-5639	525	94	ssi	ssi	NOUN
ejpam-5639	525	95	3	3	NUM
ejpam-5639	525	96	307	307	NUM
ejpam-5639	525	97	1162	1162	NUM
ejpam-5639	525	98	990	990	NUM
ejpam-5639	525	99	3.94e-06	3.94e-06	NUM
ejpam-5639	525	100	5.82e-07	5.82e-07	NUM
ejpam-5639	525	101	0.02	0.02	NUM
ejpam-5639	525	102	162	162	NUM
ejpam-5639	525	103	stratec	stratec	NOUN
ejpam-5639	525	104	10	10	NUM
ejpam-5639	525	105	170	170	NUM
ejpam-5639	525	106	419	419	NUM
ejpam-5639	525	107	283	283	NUM
ejpam-5639	525	108	2212.262	2212.262	NUM
ejpam-5639	525	109	4.3e-08	4.3e-08	NUM
ejpam-5639	525	110	1	1	NUM
ejpam-5639	525	111	163	163	NUM
ejpam-5639	525	112	testquad	testquad	NOUN
ejpam-5639	525	113	5000	5000	NUM
ejpam-5639	525	114	1573	1573	NUM
ejpam-5639	525	115	1580	1580	NUM
ejpam-5639	525	116	3141	3141	NUM
ejpam-5639	525	117	1.33e-13	1.33e-13	NUM
ejpam-5639	525	118	9.19e-07	9.19e-07	NUM
ejpam-5639	525	119	0.27	0.27	NUM
ejpam-5639	525	120	164	164	NUM
ejpam-5639	525	121	tointgor	tointgor	ADJ
ejpam-5639	525	122	50	50	NUM
ejpam-5639	525	123	122	122	NUM
ejpam-5639	525	124	219	219	NUM
ejpam-5639	525	125	159	159	NUM
ejpam-5639	525	126	1373.905	1373.905	NUM
ejpam-5639	525	127	7.64e-07	7.64e-07	NUM
ejpam-5639	525	128	0.02	0.02	NUM
ejpam-5639	525	129	165	165	NUM
ejpam-5639	525	130	tointgss	tointgss	ADP
ejpam-5639	525	131	5000	5000	NUM
ejpam-5639	525	132	4	4	NUM
ejpam-5639	525	133	9	9	NUM
ejpam-5639	525	134	5	5	NUM
ejpam-5639	525	135	10.002	10.002	NUM
ejpam-5639	525	136	1.87e-07	1.87e-07	NUM
ejpam-5639	525	137	0.02	0.02	NUM
ejpam-5639	525	138	166	166	NUM
ejpam-5639	525	139	tointpsp	tointpsp	NOUN
ejpam-5639	525	140	50	50	NUM
ejpam-5639	525	141	147	147	NUM
ejpam-5639	525	142	323	323	NUM
ejpam-5639	525	143	241	241	NUM
ejpam-5639	525	144	225.5604	225.5604	NUM
ejpam-5639	525	145	8.83e-07	8.83e-07	NUM
ejpam-5639	525	146	0.02	0.02	NUM
ejpam-5639	525	147	167	167	NUM
ejpam-5639	525	148	tointqor	tointqor	NOUN
ejpam-5639	525	149	50	50	NUM
ejpam-5639	525	150	29	29	NUM
ejpam-5639	525	151	36	36	NUM
ejpam-5639	525	152	53	53	NUM
ejpam-5639	525	153	1175.472	1175.472	NUM
ejpam-5639	525	154	4.46e-07	4.46e-07	NUM
ejpam-5639	525	155	0.02	0.02	NUM
ejpam-5639	525	156	168	168	NUM
ejpam-5639	525	157	tquartic	tquartic	ADJ
ejpam-5639	525	158	5000	5000	NUM
ejpam-5639	525	159	8	8	NUM
ejpam-5639	525	160	23	23	NUM
ejpam-5639	525	161	18	18	NUM
ejpam-5639	525	162	3.61e-12	3.61e-12	NUM
ejpam-5639	525	163	2.91e-09	2.91e-09	NUM
ejpam-5639	525	164	0.02	0.02	NUM
ejpam-5639	525	165	169	169	NUM
ejpam-5639	525	166	tridia	tridia	NOUN
ejpam-5639	525	167	5000	5000	NUM
ejpam-5639	525	168	781	781	NUM
ejpam-5639	525	169	788	788	NUM
ejpam-5639	525	170	1557	1557	NUM
ejpam-5639	525	171	4.64e-15	4.64e-15	NUM
ejpam-5639	525	172	9.37e-07	9.37e-07	NUM
ejpam-5639	525	173	0.16	0.16	NUM
ejpam-5639	525	174	170	170	NUM
ejpam-5639	525	175	trigon1	trigon1	NOUN
ejpam-5639	525	176	10	10	NUM
ejpam-5639	525	177	19	19	NUM
ejpam-5639	525	178	41	41	NUM
ejpam-5639	525	179	22	22	NUM
ejpam-5639	525	180	4.09e-15	4.09e-15	NUM
ejpam-5639	525	181	3.93e-07	3.93e-07	NUM
ejpam-5639	525	182	0.02	0.02	NUM
ejpam-5639	525	183	171	171	NUM
ejpam-5639	525	184	trigon2	trigon2	NOUN
ejpam-5639	525	185	10	10	NUM
ejpam-5639	525	186	22	22	NUM
ejpam-5639	525	187	57	57	NUM
ejpam-5639	525	188	43	43	NUM
ejpam-5639	526	1	2.966531	2.966531	NUM
ejpam-5639	526	2	2.88e-08	2.88e-08	NUM
ejpam-5639	526	3	0.02	0.02	NUM
ejpam-5639	526	4	a.	a.	NOUN
ejpam-5639	526	5	alhawarat	alhawarat	NOUN
ejpam-5639	526	6	et	et	PROPN
ejpam-5639	526	7	al	al	PROPN
ejpam-5639	526	8	.	.	PUNCT
ejpam-5639	526	9	/	/	SYM
ejpam-5639	526	10	eur	eur	PROPN
ejpam-5639	526	11	.	.	PUNCT
ejpam-5639	527	1	j.	j.	PROPN
ejpam-5639	527	2	pure	pure	PROPN
ejpam-5639	527	3	appl	appl	PROPN
ejpam-5639	527	4	.	.	PROPN
ejpam-5639	527	5	math	math	PROPN
ejpam-5639	527	6	,	,	PUNCT
ejpam-5639	527	7	18	18	NUM
ejpam-5639	527	8	(	(	PUNCT
ejpam-5639	527	9	1	1	NUM
ejpam-5639	527	10	)	)	PUNCT
ejpam-5639	527	11	(	(	PUNCT
ejpam-5639	527	12	2025	2025	NUM
ejpam-5639	527	13	)	)	PUNCT
ejpam-5639	527	14	,	,	PUNCT
ejpam-5639	527	15	5639	5639	NUM
ejpam-5639	527	16	25	25	NUM
ejpam-5639	527	17	of	of	ADP
ejpam-5639	527	18	27	27	NUM
ejpam-5639	527	19	function	function	NOUN
ejpam-5639	527	20	number	number	NOUN
ejpam-5639	527	21	function	function	NOUN
ejpam-5639	527	22	dim	dim	ADJ
ejpam-5639	527	23	iteration	iteration	NOUN
ejpam-5639	527	24	(	(	PUNCT
ejpam-5639	527	25	hs+ta	hs+ta	NOUN
ejpam-5639	527	26	)	)	PUNCT
ejpam-5639	527	27	fun	fun	NOUN
ejpam-5639	527	28	.	.	PUNCT
ejpam-5639	528	1	evaluations	evaluation	NOUN
ejpam-5639	528	2	grad	grad	NOUN
ejpam-5639	528	3	.	.	PUNCT
ejpam-5639	529	1	evaluations	evaluation	NOUN
ejpam-5639	529	2	final	final	ADJ
ejpam-5639	529	3	f	f	PROPN
ejpam-5639	529	4	final	final	ADJ
ejpam-5639	529	5	g	g	PROPN
ejpam-5639	529	6	time	time	NOUN
ejpam-5639	529	7	172	172	NUM
ejpam-5639	529	8	vandanmsls22	vandanmsls22	NOUN
ejpam-5639	529	9	2	2	NUM
ejpam-5639	529	10	5	5	NUM
ejpam-5639	529	11	3	3	NUM
ejpam-5639	529	12	9.623043	9.623043	NUM
ejpam-5639	529	13	2.85e-09	2.85e-09	NUM
ejpam-5639	529	14	0.02	0.02	NUM
ejpam-5639	529	15	173	173	NUM
ejpam-5639	529	16	vareigvl	vareigvl	NOUN
ejpam-5639	529	17	5000	5000	NUM
ejpam-5639	529	18	34	34	NUM
ejpam-5639	529	19	76	76	NUM
ejpam-5639	529	20	45	45	NUM
ejpam-5639	529	21	1.66e-12	1.66e-12	NUM
ejpam-5639	529	22	7.68e-07	7.68e-07	NUM
ejpam-5639	529	23	0.16	0.16	NUM
ejpam-5639	529	24	174	174	NUM
ejpam-5639	529	25	vesuvials	vesuvial	NOUN
ejpam-5639	529	26	8	8	NUM
ejpam-5639	529	27	1262	1262	NUM
ejpam-5639	529	28	1954	1954	NUM
ejpam-5639	529	29	3155	3155	NUM
ejpam-5639	529	30	991.4145	991.4145	NUM
ejpam-5639	529	31	1.6e-18	1.6e-18	NUM
ejpam-5639	529	32	1.23	1.23	NUM
ejpam-5639	529	33	175	175	NUM
ejpam-5639	529	34	vesuviols	vesuviol	NOUN
ejpam-5639	529	35	8	8	NUM
ejpam-5639	529	36	79	79	NUM
ejpam-5639	529	37	198	198	NUM
ejpam-5639	529	38	173	173	NUM
ejpam-5639	529	39	991.41	991.41	NUM
ejpam-5639	529	40	1.6e-18	1.6e-18	NUM
ejpam-5639	529	41	0.17	0.17	NUM
ejpam-5639	529	42	176	176	NUM
ejpam-5639	529	43	vesuviouls8	vesuviouls8	NOUN
ejpam-5639	529	44	79	79	NUM
ejpam-5639	529	45	211	211	NUM
ejpam-5639	529	46	173	173	NUM
ejpam-5639	529	47	0.4771138	0.4771138	NUM
ejpam-5639	529	48	1.3e-07	1.3e-07	NUM
ejpam-5639	529	49	0.02	0.02	NUM
ejpam-5639	529	50	177	177	NUM
ejpam-5639	529	51	vibrbeam	vibrbeam	NOUN
ejpam-5639	529	52	8	8	NUM
ejpam-5639	529	53	98	98	NUM
ejpam-5639	529	54	255	255	NUM
ejpam-5639	529	55	174	174	NUM
ejpam-5639	529	56	0.156446	0.156446	NUM
ejpam-5639	529	57	2.83e-08	2.83e-08	NUM
ejpam-5639	529	58	0.02	0.02	NUM
ejpam-5639	529	59	178	178	NUM
ejpam-5639	529	60	waysea1	waysea1	NOUN
ejpam-5639	529	61	2	2	NUM
ejpam-5639	529	62	11	11	NUM
ejpam-5639	529	63	55	55	NUM
ejpam-5639	529	64	50	50	NUM
ejpam-5639	529	65	6.75e-22	6.75e-22	NUM
ejpam-5639	529	66	2.99e-09	2.99e-09	NUM
ejpam-5639	529	67	0.02	0.02	NUM
ejpam-5639	529	68	179	179	NUM
ejpam-5639	529	69	waysea2	waysea2	NOUN
ejpam-5639	529	70	2	2	NUM
ejpam-5639	529	71	9	9	NUM
ejpam-5639	529	72	28	28	NUM
ejpam-5639	529	73	23	23	NUM
ejpam-5639	529	74	1.07e-17	1.07e-17	NUM
ejpam-5639	529	75	1.37e-09	1.37e-09	NUM
ejpam-5639	529	76	0.02	0.02	NUM
ejpam-5639	529	77	180	180	NUM
ejpam-5639	529	78	watson	watson	NOUN
ejpam-5639	529	79	12	12	NUM
ejpam-5639	529	80	60	60	NUM
ejpam-5639	529	81	137	137	NUM
ejpam-5639	529	82	82	82	NUM
ejpam-5639	529	83	1.62e-07	1.62e-07	NUM
ejpam-5639	529	84	8.55e-07	8.55e-07	NUM
ejpam-5639	529	85	0.02	0.02	NUM
ejpam-5639	529	86	181	181	NUM
ejpam-5639	529	87	woods	wood	NOUN
ejpam-5639	529	88	4000	4000	NUM
ejpam-5639	529	89	64	64	NUM
ejpam-5639	529	90	184	184	NUM
ejpam-5639	529	91	136	136	NUM
ejpam-5639	529	92	8.34e-15	8.34e-15	NUM
ejpam-5639	529	93	9.5e-07	9.5e-07	NUM
ejpam-5639	529	94	0.01	0.01	NUM
ejpam-5639	529	95	182	182	NUM
ejpam-5639	529	96	yatp1ls	yatp1ls	NOUN
ejpam-5639	529	97	123200	123200	NUM
ejpam-5639	529	98	13	13	NUM
ejpam-5639	529	99	34	34	NUM
ejpam-5639	529	100	25	25	NUM
ejpam-5639	529	101	3.88e-16	3.88e-16	NUM
ejpam-5639	529	102	2.32e-07	2.32e-07	NUM
ejpam-5639	529	103	0.64	0.64	NUM
ejpam-5639	529	104	183	183	NUM
ejpam-5639	529	105	yfitu	yfitu	NOUN
ejpam-5639	529	106	3	3	NUM
ejpam-5639	529	107	68	68	NUM
ejpam-5639	529	108	208	208	NUM
ejpam-5639	529	109	167	167	NUM
ejpam-5639	529	110	6.67e-13	6.67e-13	NUM
ejpam-5639	529	111	1.72e-08	1.72e-08	NUM
ejpam-5639	529	112	0.02	0.02	NUM
ejpam-5639	529	113	184	184	NUM
ejpam-5639	529	114	zangwil2	zangwil2	NOUN
ejpam-5639	529	115	2	2	NUM
ejpam-5639	529	116	1	1	NUM
ejpam-5639	529	117	3	3	NUM
ejpam-5639	529	118	2	2	NUM
ejpam-5639	529	119	-18.2	-18.2	PROPN
ejpam-5639	529	120	3.79e-15	3.79e-15	NUM
ejpam-5639	529	121	0.02	0.02	NUM
ejpam-5639	529	122	a.	a.	NOUN
ejpam-5639	529	123	alhawarat	alhawarat	NOUN
ejpam-5639	529	124	et	et	PROPN
ejpam-5639	529	125	al	al	PROPN
ejpam-5639	529	126	.	.	PUNCT
ejpam-5639	529	127	/	/	SYM
ejpam-5639	529	128	eur	eur	PROPN
ejpam-5639	529	129	.	.	PUNCT
ejpam-5639	530	1	j.	j.	PROPN
ejpam-5639	530	2	pure	pure	PROPN
ejpam-5639	530	3	appl	appl	PROPN
ejpam-5639	530	4	.	.	PROPN
ejpam-5639	530	5	math	math	PROPN
ejpam-5639	530	6	,	,	PUNCT
ejpam-5639	530	7	18	18	NUM
ejpam-5639	530	8	(	(	PUNCT
ejpam-5639	530	9	1	1	NUM
ejpam-5639	530	10	)	)	PUNCT
ejpam-5639	530	11	(	(	PUNCT
ejpam-5639	530	12	2025	2025	NUM
ejpam-5639	530	13	)	)	PUNCT
ejpam-5639	530	14	,	,	PUNCT
ejpam-5639	530	15	5639	5639	NUM
ejpam-5639	530	16	26	26	NUM
ejpam-5639	530	17	of	of	ADP
ejpam-5639	530	18	27	27	NUM
ejpam-5639	530	19	table	table	NOUN
ejpam-5639	530	20	3	3	NUM
ejpam-5639	530	21	:	:	PUNCT
ejpam-5639	530	22	numerical	numerical	ADJ
ejpam-5639	530	23	results	result	NOUN
ejpam-5639	530	24	for	for	ADP
ejpam-5639	530	25	images	image	NOUN
ejpam-5639	530	26	with	with	ADP
ejpam-5639	530	27	gaussian	gaussian	ADJ
ejpam-5639	530	28	noise	noise	NOUN
ejpam-5639	530	29	,	,	PUNCT
ejpam-5639	530	30	incorporating	incorporate	VERB
ejpam-5639	530	31	a	a	DET
ejpam-5639	530	32	standard	standard	ADJ
ejpam-5639	530	33	deviation	deviation	NOUN
ejpam-5639	530	34	of	of	ADP
ejpam-5639	530	35	25	25	NUM
ejpam-5639	530	36	%	%	NOUN
ejpam-5639	530	37	,	,	PUNCT
ejpam-5639	530	38	via	via	ADP
ejpam-5639	530	39	the	the	DET
ejpam-5639	530	40	dai	dai	PROPN
ejpam-5639	530	41	-	-	PUNCT
ejpam-5639	530	42	liao	liao	PROPN
ejpam-5639	530	43	cg	cg	PROPN
ejpam-5639	530	44	,	,	PUNCT
ejpam-5639	530	45	ahs	ahs	INTJ
ejpam-5639	530	46	,	,	PUNCT
ejpam-5639	530	47	and	and	CCONJ
ejpam-5639	530	48	cg	cg	NOUN
ejpam-5639	530	49	-	-	PUNCT
ejpam-5639	530	50	descent	descent	NOUN
ejpam-5639	530	51	6.8	6.8	NUM
ejpam-5639	530	52	methods	method	NOUN
ejpam-5639	530	53	.	.	PUNCT
ejpam-5639	531	1	image	image	NOUN
ejpam-5639	531	2	algorithm	algorithm	NOUN
ejpam-5639	531	3	number	number	NOUN
ejpam-5639	531	4	of	of	ADP
ejpam-5639	531	5	iterations	iteration	NOUN
ejpam-5639	531	6	cpu	cpu	VERB
ejpam-5639	531	7	time	time	NOUN
ejpam-5639	531	8	(	(	PUNCT
ejpam-5639	531	9	seconds	second	NOUN
ejpam-5639	531	10	)	)	PUNCT
ejpam-5639	531	11	rmse	rmse	PROPN
ejpam-5639	531	12	mandi	mandi	PROPN
ejpam-5639	531	13	128	128	NUM
ejpam-5639	531	14	pixels	pixel	NOUN
ejpam-5639	531	15	dl+	dl+	VERB
ejpam-5639	531	16	127	127	NUM
ejpam-5639	531	17	1.724e+000	1.724e+000	NUM
ejpam-5639	531	18	0.1003	0.1003	NUM
ejpam-5639	531	19	hs+ta	hs+ta	PROPN
ejpam-5639	531	20	125	125	NUM
ejpam-5639	531	21	1.563e+000	1.563e+000	NUM
ejpam-5639	531	22	0.1001	0.1001	NUM
ejpam-5639	531	23	cg	cg	NOUN
ejpam-5639	531	24	-	-	PUNCT
ejpam-5639	531	25	descent	descent	NOUN
ejpam-5639	531	26	6.8	6.8	NUM
ejpam-5639	531	27	134	134	NUM
ejpam-5639	531	28	1.825e-001	1.825e-001	NUM
ejpam-5639	531	29	0.1004	0.1004	NUM
ejpam-5639	531	30	cameraman	cameraman	NOUN
ejpam-5639	531	31	128	128	NUM
ejpam-5639	531	32	pixels	pixel	NOUN
ejpam-5639	531	33	dl+	dl+	VERB
ejpam-5639	531	34	165	165	NUM
ejpam-5639	531	35	1.631e+000	1.631e+000	NUM
ejpam-5639	531	36	0.1257	0.1257	NUM
ejpam-5639	531	37	hs+ta	hs+ta	PROPN
ejpam-5639	531	38	160	160	NUM
ejpam-5639	531	39	1.359e+000	1.359e+000	NUM
ejpam-5639	531	40	0.1146	0.1146	NUM
ejpam-5639	531	41	cg	cg	NOUN
ejpam-5639	531	42	-	-	PUNCT
ejpam-5639	531	43	descent	descent	NOUN
ejpam-5639	531	44	6.8	6.8	NUM
ejpam-5639	531	45	163	163	NUM
ejpam-5639	531	46	1.854e+000	1.854e+000	NUM
ejpam-5639	531	47	0.1148	0.1148	NUM
ejpam-5639	531	48	coins	coin	NOUN
ejpam-5639	531	49	128	128	NUM
ejpam-5639	531	50	pixels	pixel	NOUN
ejpam-5639	531	51	dl+	dl+	VERB
ejpam-5639	531	52	135	135	NUM
ejpam-5639	531	53	1.542e+000	1.542e+000	NUM
ejpam-5639	531	54	0.0832	0.0832	NUM
ejpam-5639	531	55	hs+ta	hs+ta	PROPN
ejpam-5639	531	56	133	133	NUM
ejpam-5639	531	57	1.391e+000	1.391e+000	NUM
ejpam-5639	531	58	0.0828	0.0828	NUM
ejpam-5639	531	59	cg	cg	NOUN
ejpam-5639	531	60	-	-	PUNCT
ejpam-5639	531	61	descent	descent	NOUN
ejpam-5639	531	62	6.8	6.8	NUM
ejpam-5639	531	63	133	133	NUM
ejpam-5639	531	64	1.491e+000	1.491e+000	NUM
ejpam-5639	531	65	0.0831	0.0831	NUM
ejpam-5639	531	66	mandi	mandi	NOUN
ejpam-5639	531	67	256	256	NUM
ejpam-5639	531	68	pixels	pixel	NOUN
ejpam-5639	531	69	dl+	dl+	VERB
ejpam-5639	531	70	120	120	NUM
ejpam-5639	531	71	1.856e+001	1.856e+001	NUM
ejpam-5639	531	72	0.0519	0.0519	NUM
ejpam-5639	531	73	hs+ta	hs+ta	NUM
ejpam-5639	531	74	118	118	NUM
ejpam-5639	531	75	1.745e+001	1.745e+001	NUM
ejpam-5639	531	76	0.0517	0.0517	NUM
ejpam-5639	531	77	cg	cg	NOUN
ejpam-5639	531	78	-	-	PUNCT
ejpam-5639	531	79	descent	descent	NOUN
ejpam-5639	531	80	6.8	6.8	NUM
ejpam-5639	531	81	119	119	NUM
ejpam-5639	531	82	1.656e+001	1.656e+001	NUM
ejpam-5639	531	83	0.0991	0.0991	NUM
ejpam-5639	531	84	moon	moon	NOUN
ejpam-5639	531	85	256	256	NUM
ejpam-5639	531	86	pixels	pixel	NOUN
ejpam-5639	531	87	dl+	dl+	VERB
ejpam-5639	531	88	170	170	NUM
ejpam-5639	531	89	1.678e+001	1.678e+001	NUM
ejpam-5639	531	90	0.0355	0.0355	NUM
ejpam-5639	531	91	hs+ta	hs+ta	PROPN
ejpam-5639	531	92	166	166	NUM
ejpam-5639	531	93	1.234e+001	1.234e+001	NUM
ejpam-5639	531	94	0.0350	0.0350	NUM
ejpam-5639	531	95	cg	cg	NOUN
ejpam-5639	531	96	-	-	PUNCT
ejpam-5639	531	97	descent	descent	NOUN
ejpam-5639	531	98	6.8	6.8	NUM
ejpam-5639	531	99	166	166	NUM
ejpam-5639	531	100	1.45e+001	1.45e+001	NUM
ejpam-5639	531	101	0.0368	0.0368	NUM
ejpam-5639	531	102	cameraman	cameraman	NOUN
ejpam-5639	531	103	256	256	NUM
ejpam-5639	531	104	pixels	pixel	NOUN
ejpam-5639	531	105	dl+	dl+	VERB
ejpam-5639	531	106	166	166	NUM
ejpam-5639	531	107	1.856e+001	1.856e+001	NUM
ejpam-5639	531	108	0.0894	0.0894	NUM
ejpam-5639	531	109	hs+ta	hs+ta	NUM
ejpam-5639	531	110	164	164	NUM
ejpam-5639	531	111	1.797e+001	1.797e+001	NUM
ejpam-5639	531	112	0.0890	0.0890	NUM
ejpam-5639	531	113	cg	cg	NOUN
ejpam-5639	531	114	-	-	PUNCT
ejpam-5639	531	115	descent	descent	NOUN
ejpam-5639	531	116	6.8	6.8	NUM
ejpam-5639	531	117	162	162	NUM
ejpam-5639	531	118	1.925e+001	1.925e+001	PROPN
ejpam-5639	531	119	0.0892	0.0892	NUM
ejpam-5639	531	120	coins	coin	NOUN
ejpam-5639	531	121	256	256	NUM
ejpam-5639	531	122	pixels	pixel	NOUN
ejpam-5639	531	123	dl+	dl+	VERB
ejpam-5639	531	124	134	134	NUM
ejpam-5639	531	125	1.447e+001	1.447e+001	NUM
ejpam-5639	531	126	0.0506	0.0506	NUM
ejpam-5639	531	127	hs+ta	hs+ta	PROPN
ejpam-5639	531	128	129	129	NUM
ejpam-5639	531	129	1.264e+001	1.264e+001	NUM
ejpam-5639	531	130	0.0505	0.0505	NUM
ejpam-5639	531	131	cg	cg	NOUN
ejpam-5639	531	132	-	-	PUNCT
ejpam-5639	531	133	descent	descent	NOUN
ejpam-5639	531	134	6.8	6.8	NUM
ejpam-5639	531	135	130	130	NUM
ejpam-5639	531	136	1.564e+001	1.564e+001	NUM
ejpam-5639	531	137	0.0508	0.0508	NUM
ejpam-5639	531	138	mandi	mandi	NOUN
ejpam-5639	531	139	512	512	NUM
ejpam-5639	531	140	pixels	pixel	NOUN
ejpam-5639	531	141	dl+	dl+	VERB
ejpam-5639	531	142	114	114	NUM
ejpam-5639	531	143	7.981e+001	7.981e+001	NUM
ejpam-5639	531	144	0.0371	0.0371	NUM
ejpam-5639	531	145	hs+ta	hs+ta	PROPN
ejpam-5639	531	146	110	110	NUM
ejpam-5639	531	147	6.955e+001	6.955e+001	NUM
ejpam-5639	531	148	0.0370	0.0370	NUM
ejpam-5639	531	149	cg	cg	NOUN
ejpam-5639	531	150	-	-	PUNCT
ejpam-5639	531	151	descent	descent	NOUN
ejpam-5639	531	152	6.8	6.8	NUM
ejpam-5639	531	153	116	116	NUM
ejpam-5639	531	154	7.314e+001	7.314e+001	NUM
ejpam-5639	531	155	0.0472	0.0472	NUM
ejpam-5639	531	156	kids	kid	NOUN
ejpam-5639	531	157	512	512	NUM
ejpam-5639	531	158	pixels	pixel	NOUN
ejpam-5639	531	159	dl+	dl+	VERB
ejpam-5639	531	160	57	57	NUM
ejpam-5639	531	161	6.955e+001	6.955e+001	NUM
ejpam-5639	531	162	0.0377	0.0377	NUM
ejpam-5639	531	163	hs+ta	hs+ta	PROPN
ejpam-5639	531	164	55	55	NUM
ejpam-5639	531	165	5.425e+001	5.425e+001	NUM
ejpam-5639	531	166	0.0383	0.0383	NUM
ejpam-5639	531	167	cg	cg	NOUN
ejpam-5639	531	168	-	-	PUNCT
ejpam-5639	531	169	descent	descent	NOUN
ejpam-5639	531	170	6.8	6.8	NUM
ejpam-5639	531	171	55	55	NUM
ejpam-5639	531	172	5.634e+001	5.634e+001	NUM
ejpam-5639	531	173	0.0395	0.0395	NUM
ejpam-5639	531	174	coins	coin	NOUN
ejpam-5639	531	175	512	512	NUM
ejpam-5639	531	176	pixels	pixel	NOUN
ejpam-5639	531	177	dl+	dl+	VERB
ejpam-5639	531	178	129	129	NUM
ejpam-5639	531	179	7.323e+001	7.323e+001	NUM
ejpam-5639	531	180	0.0326	0.0326	NUM
ejpam-5639	531	181	hs+ta	hs+ta	NOUN
ejpam-5639	531	182	128	128	NUM
ejpam-5639	531	183	5.948e+001	5.948e+001	NUM
ejpam-5639	531	184	0.0326	0.0326	NUM
ejpam-5639	531	185	cg	cg	NOUN
ejpam-5639	531	186	-	-	PUNCT
ejpam-5639	531	187	descent	descent	NOUN
ejpam-5639	532	1	6.8	6.8	NUM
ejpam-5639	532	2	127	127	NUM
ejpam-5639	532	3	6.323e+001	6.323e+001	NUM
ejpam-5639	532	4	0.0503	0.0503	NUM
ejpam-5639	532	5	a.	a.	NOUN
ejpam-5639	532	6	alhawarat	alhawarat	NOUN
ejpam-5639	532	7	et	et	PROPN
ejpam-5639	532	8	al	al	PROPN
ejpam-5639	532	9	.	.	PUNCT
ejpam-5639	532	10	/	/	SYM
ejpam-5639	532	11	eur	eur	PROPN
ejpam-5639	532	12	.	.	PUNCT
ejpam-5639	533	1	j.	j.	PROPN
ejpam-5639	533	2	pure	pure	PROPN
ejpam-5639	533	3	appl	appl	PROPN
ejpam-5639	533	4	.	.	PROPN
ejpam-5639	533	5	math	math	PROPN
ejpam-5639	533	6	,	,	PUNCT
ejpam-5639	533	7	18	18	NUM
ejpam-5639	533	8	(	(	PUNCT
ejpam-5639	533	9	1	1	NUM
ejpam-5639	533	10	)	)	PUNCT
ejpam-5639	533	11	(	(	PUNCT
ejpam-5639	533	12	2025	2025	NUM
ejpam-5639	533	13	)	)	PUNCT
ejpam-5639	533	14	,	,	PUNCT
ejpam-5639	533	15	5639	5639	NUM
ejpam-5639	533	16	27	27	NUM
ejpam-5639	533	17	of	of	ADP
ejpam-5639	533	18	27	27	NUM
ejpam-5639	533	19	cameraman	cameraman	NOUN
ejpam-5639	533	20	512	512	NUM
ejpam-5639	533	21	pixels	pixel	NOUN
ejpam-5639	533	22	dl+	dl+	VERB
ejpam-5639	533	23	148	148	NUM
ejpam-5639	533	24	9.650e+001	9.650e+001	NUM
ejpam-5639	533	25	0.0533	0.0533	NUM
ejpam-5639	533	26	hs+ta	hs+ta	PROPN
ejpam-5639	533	27	146	146	NUM
ejpam-5639	533	28	9.438e+001	9.438e+001	NUM
ejpam-5639	533	29	0.0533	0.0533	NUM
ejpam-5639	533	30	cg	cg	NOUN
ejpam-5639	533	31	-	-	PUNCT
ejpam-5639	533	32	descent	descent	NOUN
ejpam-5639	533	33	6.8	6.8	NUM
ejpam-5639	533	34	143	143	NUM
ejpam-5639	533	35	9.727e+001	9.727e+001	NUM
ejpam-5639	533	36	0.0532	0.0532	NUM
ejpam-5639	533	37	moon	moon	NOUN
ejpam-5639	533	38	1024	1024	NUM
ejpam-5639	533	39	pixels	pixel	NOUN
ejpam-5639	533	40	dl+	dl+	VERB
ejpam-5639	533	41	155	155	NUM
ejpam-5639	533	42	1.238e+002	1.238e+002	NUM
ejpam-5639	533	43	0.0183	0.0183	NUM
ejpam-5639	533	44	hs+ta	hs+ta	NOUN
ejpam-5639	533	45	150	150	NUM
ejpam-5639	533	46	1.115e+002	1.115e+002	NUM
ejpam-5639	533	47	0.0081	0.0081	NUM
ejpam-5639	533	48	cg	cg	NOUN
ejpam-5639	533	49	-	-	PUNCT
ejpam-5639	533	50	descent	descent	NOUN
ejpam-5639	533	51	6.8	6.8	NUM
ejpam-5639	533	52	150	150	NUM
ejpam-5639	533	53	1.203e+002	1.203e+002	NUM
ejpam-5639	533	54	0.0082	0.0082	NUM
ejpam-5639	533	55	cameraman	cameraman	NOUN
ejpam-5639	533	56	1024	1024	NUM
ejpam-5639	533	57	pixels	pixel	NOUN
ejpam-5639	533	58	dl+	dl+	VERB
ejpam-5639	533	59	146	146	NUM
ejpam-5639	533	60	3.950e+002	3.950e+002	NUM
ejpam-5639	533	61	0.0534	0.0534	NUM
ejpam-5639	533	62	hs+ta	hs+ta	NUM
ejpam-5639	533	63	125	125	NUM
ejpam-5639	533	64	2.643e+002	2.643e+002	NUM
ejpam-5639	533	65	0.0289	0.0289	NUM
ejpam-5639	533	66	cg	cg	NOUN
ejpam-5639	533	67	-	-	PUNCT
ejpam-5639	533	68	descent	descent	NOUN
ejpam-5639	533	69	6.8	6.8	NUM
ejpam-5639	533	70	130	130	NUM
ejpam-5639	533	71	2.853e+002	2.853e+002	NUM
ejpam-5639	533	72	0.0298	0.0298	NUM
ejpam-5639	533	73	coins	coin	NOUN
ejpam-5639	533	74	1024	1024	NUM
ejpam-5639	533	75	pixels	pixel	NOUN
ejpam-5639	533	76	dl+	dl+	VERB
ejpam-5639	533	77	128	128	NUM
ejpam-5639	533	78	3.441e+002	3.441e+002	NUM
ejpam-5639	533	79	0.0326	0.0326	NUM
ejpam-5639	533	80	hs+ta	hs+ta	PROPN
ejpam-5639	533	81	113	113	NUM
ejpam-5639	533	82	2.049e+002	2.049e+002	NUM
ejpam-5639	533	83	0.0173	0.0173	NUM
ejpam-5639	533	84	cg	cg	NOUN
ejpam-5639	533	85	-	-	PUNCT
ejpam-5639	533	86	descent	descent	NOUN
ejpam-5639	533	87	6.8	6.8	NUM
ejpam-5639	533	88	124	124	NUM
ejpam-5639	533	89	2.897e+002	2.897e+002	NUM
ejpam-5639	533	90	0.0289	0.0289	NUM