id	sid	tid	token	lemma	pos
ejpam-6311	1	1	european	european	PROPN
ejpam-6311	1	2	journal	journal	PROPN
ejpam-6311	1	3	of	of	ADP
ejpam-6311	1	4	pure	pure	ADJ
ejpam-6311	1	5	and	and	CCONJ
ejpam-6311	1	6	applied	applied	ADJ
ejpam-6311	1	7	mathematics	mathematic	NOUN
ejpam-6311	1	8	2025	2025	NUM
ejpam-6311	1	9	,	,	PUNCT
ejpam-6311	1	10	vol	vol	NOUN
ejpam-6311	1	11	.	.	PROPN
ejpam-6311	1	12	18	18	NUM
ejpam-6311	1	13	,	,	PUNCT
ejpam-6311	1	14	issue	issue	NOUN
ejpam-6311	1	15	3	3	NUM
ejpam-6311	1	16	,	,	PUNCT
ejpam-6311	1	17	article	article	NOUN
ejpam-6311	1	18	number	number	NOUN
ejpam-6311	1	19	6311	6311	NUM
ejpam-6311	1	20	issn	issn	PROPN
ejpam-6311	1	21	1307	1307	NUM
ejpam-6311	1	22	-	-	SYM
ejpam-6311	1	23	5543	5543	NUM
ejpam-6311	1	24	–	–	PUNCT
ejpam-6311	1	25	ejpam.com	ejpam.com	X
ejpam-6311	1	26	published	publish	VERB
ejpam-6311	1	27	by	by	ADP
ejpam-6311	1	28	new	new	PROPN
ejpam-6311	1	29	york	york	PROPN
ejpam-6311	1	30	business	business	PROPN
ejpam-6311	1	31	global	global	ADJ
ejpam-6311	1	32	fixed	fix	VERB
ejpam-6311	1	33	point	point	NOUN
ejpam-6311	1	34	techniques	technique	NOUN
ejpam-6311	1	35	for	for	ADP
ejpam-6311	1	36	graph	graph	NOUN
ejpam-6311	1	37	-	-	PUNCT
ejpam-6311	1	38	based	base	VERB
ejpam-6311	1	39	mappings	mapping	NOUN
ejpam-6311	1	40	with	with	ADP
ejpam-6311	1	41	image	image	NOUN
ejpam-6311	1	42	recovery	recovery	NOUN
ejpam-6311	1	43	approach	approach	NOUN
ejpam-6311	1	44	sayan	sayan	PROPN
ejpam-6311	1	45	panma1,2	panma1,2	PROPN
ejpam-6311	1	46	,	,	PUNCT
ejpam-6311	1	47	raweerote	raweerote	VERB
ejpam-6311	1	48	suparatulatorn2,3	suparatulatorn2,3	PROPN
ejpam-6311	1	49	,	,	PUNCT
ejpam-6311	1	50	tanadon	tanadon	PROPN
ejpam-6311	1	51	chaobankoh1,2,∗	chaobankoh1,2,∗	PROPN
ejpam-6311	1	52	1	1	NUM
ejpam-6311	1	53	department	department	NOUN
ejpam-6311	1	54	of	of	ADP
ejpam-6311	1	55	mathematics	mathematic	NOUN
ejpam-6311	1	56	,	,	PUNCT
ejpam-6311	1	57	faculty	faculty	NOUN
ejpam-6311	1	58	of	of	ADP
ejpam-6311	1	59	science	science	NOUN
ejpam-6311	1	60	,	,	PUNCT
ejpam-6311	1	61	chiang	chiang	PROPN
ejpam-6311	1	62	mai	mai	PROPN
ejpam-6311	1	63	university	university	PROPN
ejpam-6311	1	64	,	,	PUNCT
ejpam-6311	1	65	chiang	chiang	PROPN
ejpam-6311	1	66	mai	mai	PROPN
ejpam-6311	1	67	50200	50200	NUM
ejpam-6311	1	68	,	,	PUNCT
ejpam-6311	1	69	thailand	thailand	PROPN
ejpam-6311	1	70	2	2	NUM
ejpam-6311	1	71	advanced	advanced	ADJ
ejpam-6311	1	72	research	research	NOUN
ejpam-6311	1	73	center	center	NOUN
ejpam-6311	1	74	for	for	ADP
ejpam-6311	1	75	computational	computational	ADJ
ejpam-6311	1	76	simulation	simulation	NOUN
ejpam-6311	1	77	,	,	PUNCT
ejpam-6311	1	78	chiang	chiang	PROPN
ejpam-6311	1	79	mai	mai	PROPN
ejpam-6311	1	80	university	university	PROPN
ejpam-6311	1	81	,	,	PUNCT
ejpam-6311	1	82	chiang	chiang	PROPN
ejpam-6311	1	83	mai	mai	PROPN
ejpam-6311	1	84	50200	50200	NUM
ejpam-6311	1	85	,	,	PUNCT
ejpam-6311	1	86	thailand	thailand	PROPN
ejpam-6311	1	87	3	3	NUM
ejpam-6311	1	88	department	department	NOUN
ejpam-6311	1	89	of	of	ADP
ejpam-6311	1	90	mathematics	mathematic	NOUN
ejpam-6311	1	91	,	,	PUNCT
ejpam-6311	1	92	faculty	faculty	NOUN
ejpam-6311	1	93	of	of	ADP
ejpam-6311	1	94	science	science	NOUN
ejpam-6311	1	95	,	,	PUNCT
ejpam-6311	1	96	lampang	lampang	VERB
ejpam-6311	1	97	rajabhat	rajabhat	PROPN
ejpam-6311	1	98	university	university	NOUN
ejpam-6311	1	99	,	,	PUNCT
ejpam-6311	1	100	lampang	lampang	VERB
ejpam-6311	1	101	52100	52100	NUM
ejpam-6311	1	102	,	,	PUNCT
ejpam-6311	1	103	thailand	thailand	PROPN
ejpam-6311	1	104	abstract	abstract	NOUN
ejpam-6311	1	105	.	.	PUNCT
ejpam-6311	2	1	this	this	DET
ejpam-6311	2	2	article	article	NOUN
ejpam-6311	2	3	introduces	introduce	VERB
ejpam-6311	2	4	an	an	DET
ejpam-6311	2	5	algorithm	algorithm	NOUN
ejpam-6311	2	6	designed	design	VERB
ejpam-6311	2	7	to	to	PART
ejpam-6311	2	8	approximate	approximate	VERB
ejpam-6311	2	9	a	a	DET
ejpam-6311	2	10	common	common	ADJ
ejpam-6311	2	11	fixed	fix	VERB
ejpam-6311	2	12	point	point	NOUN
ejpam-6311	2	13	for	for	ADP
ejpam-6311	2	14	a	a	DET
ejpam-6311	2	15	class	class	NOUN
ejpam-6311	2	16	of	of	ADP
ejpam-6311	2	17	graph	graph	NOUN
ejpam-6311	2	18	-	-	PUNCT
ejpam-6311	2	19	based	base	VERB
ejpam-6311	2	20	mappings	mapping	NOUN
ejpam-6311	2	21	in	in	ADP
ejpam-6311	2	22	a	a	DET
ejpam-6311	2	23	real	real	ADJ
ejpam-6311	2	24	hilbert	hilbert	NOUN
ejpam-6311	2	25	space	space	NOUN
ejpam-6311	2	26	.	.	PUNCT
ejpam-6311	3	1	we	we	PRON
ejpam-6311	3	2	show	show	VERB
ejpam-6311	3	3	that	that	SCONJ
ejpam-6311	3	4	the	the	DET
ejpam-6311	3	5	sequence	sequence	NOUN
ejpam-6311	3	6	generated	generate	VERB
ejpam-6311	3	7	by	by	ADP
ejpam-6311	3	8	this	this	DET
ejpam-6311	3	9	algorithm	algorithm	NOUN
ejpam-6311	3	10	weakly	weakly	ADV
ejpam-6311	3	11	converges	converge	VERB
ejpam-6311	3	12	to	to	ADP
ejpam-6311	3	13	a	a	DET
ejpam-6311	3	14	common	common	ADJ
ejpam-6311	3	15	fixed	fix	VERB
ejpam-6311	3	16	point	point	NOUN
ejpam-6311	3	17	.	.	PUNCT
ejpam-6311	4	1	moreover	moreover	ADV
ejpam-6311	4	2	,	,	PUNCT
ejpam-6311	4	3	we	we	PRON
ejpam-6311	4	4	explore	explore	VERB
ejpam-6311	4	5	the	the	DET
ejpam-6311	4	6	algorithm	algorithm	NOUN
ejpam-6311	4	7	’s	’s	PART
ejpam-6311	4	8	practical	practical	ADJ
ejpam-6311	4	9	application	application	NOUN
ejpam-6311	4	10	by	by	ADP
ejpam-6311	4	11	investigating	investigate	VERB
ejpam-6311	4	12	its	its	PRON
ejpam-6311	4	13	effectiveness	effectiveness	NOUN
ejpam-6311	4	14	in	in	ADP
ejpam-6311	4	15	solving	solve	VERB
ejpam-6311	4	16	image	image	NOUN
ejpam-6311	4	17	recovery	recovery	NOUN
ejpam-6311	4	18	problems	problem	NOUN
ejpam-6311	4	19	related	relate	VERB
ejpam-6311	4	20	to	to	ADP
ejpam-6311	4	21	fine	fine	ADJ
ejpam-6311	4	22	particulate	particulate	NOUN
ejpam-6311	4	23	matter	matter	NOUN
ejpam-6311	4	24	(	(	PUNCT
ejpam-6311	4	25	pm2.5	pm2.5	NOUN
ejpam-6311	4	26	)	)	PUNCT
ejpam-6311	4	27	pollution	pollution	NOUN
ejpam-6311	4	28	.	.	PUNCT
ejpam-6311	5	1	its	its	PRON
ejpam-6311	5	2	performance	performance	NOUN
ejpam-6311	5	3	is	be	AUX
ejpam-6311	5	4	then	then	ADV
ejpam-6311	5	5	evaluated	evaluate	VERB
ejpam-6311	5	6	by	by	ADP
ejpam-6311	5	7	comparing	compare	VERB
ejpam-6311	5	8	it	it	PRON
ejpam-6311	5	9	to	to	ADP
ejpam-6311	5	10	existing	exist	VERB
ejpam-6311	5	11	methods	method	NOUN
ejpam-6311	5	12	.	.	PUNCT
ejpam-6311	6	1	2020	2020	NUM
ejpam-6311	6	2	mathematics	mathematic	NOUN
ejpam-6311	6	3	subject	subject	NOUN
ejpam-6311	6	4	classifications	classification	NOUN
ejpam-6311	6	5	:	:	PUNCT
ejpam-6311	6	6	47j25	47j25	NUM
ejpam-6311	6	7	,	,	PUNCT
ejpam-6311	6	8	47j26	47j26	NUM
ejpam-6311	6	9	65j15	65j15	NUM
ejpam-6311	6	10	,	,	PUNCT
ejpam-6311	6	11	65y05	65y05	NUM
ejpam-6311	6	12	,	,	PUNCT
ejpam-6311	6	13	68w10	68w10	NUM
ejpam-6311	6	14	key	key	ADJ
ejpam-6311	6	15	words	word	NOUN
ejpam-6311	6	16	and	and	CCONJ
ejpam-6311	6	17	phrases	phrase	NOUN
ejpam-6311	6	18	:	:	PUNCT
ejpam-6311	6	19	fixed	fix	VERB
ejpam-6311	6	20	point	point	NOUN
ejpam-6311	6	21	problem	problem	NOUN
ejpam-6311	6	22	,	,	PUNCT
ejpam-6311	6	23	directed	direct	VERB
ejpam-6311	6	24	graph	graph	NOUN
ejpam-6311	6	25	,	,	PUNCT
ejpam-6311	6	26	g	g	NOUN
ejpam-6311	6	27	-	-	PUNCT
ejpam-6311	6	28	nonexpansive	nonexpansive	ADJ
ejpam-6311	6	29	mapping	mapping	NOUN
ejpam-6311	6	30	,	,	PUNCT
ejpam-6311	6	31	image	image	NOUN
ejpam-6311	6	32	processing	processing	NOUN
ejpam-6311	6	33	,	,	PUNCT
ejpam-6311	6	34	process	process	NOUN
ejpam-6311	6	35	innovation	innovation	NOUN
ejpam-6311	6	36	1	1	NUM
ejpam-6311	6	37	.	.	PUNCT
ejpam-6311	6	38	introduction	introduction	NOUN
ejpam-6311	6	39	the	the	DET
ejpam-6311	6	40	fixed	fix	VERB
ejpam-6311	6	41	point	point	NOUN
ejpam-6311	6	42	problem	problem	NOUN
ejpam-6311	6	43	demonstrates	demonstrate	VERB
ejpam-6311	6	44	exceptional	exceptional	ADJ
ejpam-6311	6	45	versatility	versatility	NOUN
ejpam-6311	6	46	in	in	ADP
ejpam-6311	6	47	addressing	address	VERB
ejpam-6311	6	48	real	real	ADJ
ejpam-6311	6	49	-	-	PUNCT
ejpam-6311	6	50	world	world	NOUN
ejpam-6311	6	51	challenges	challenge	NOUN
ejpam-6311	6	52	,	,	PUNCT
ejpam-6311	6	53	particularly	particularly	ADV
ejpam-6311	6	54	signal	signal	NOUN
ejpam-6311	6	55	and	and	CCONJ
ejpam-6311	6	56	image	image	NOUN
ejpam-6311	6	57	recovery	recovery	NOUN
ejpam-6311	6	58	.	.	PUNCT
ejpam-6311	7	1	in	in	ADP
ejpam-6311	7	2	this	this	DET
ejpam-6311	7	3	domain	domain	NOUN
ejpam-6311	7	4	,	,	PUNCT
ejpam-6311	7	5	iterative	iterative	ADJ
ejpam-6311	7	6	methods	method	NOUN
ejpam-6311	7	7	are	be	AUX
ejpam-6311	7	8	used	use	VERB
ejpam-6311	7	9	to	to	PART
ejpam-6311	7	10	extract	extract	VERB
ejpam-6311	7	11	solutions	solution	NOUN
ejpam-6311	7	12	from	from	ADP
ejpam-6311	7	13	noise	noise	NOUN
ejpam-6311	7	14	-	-	PUNCT
ejpam-6311	7	15	corrupted	corrupt	VERB
ejpam-6311	7	16	data	datum	NOUN
ejpam-6311	7	17	.	.	PUNCT
ejpam-6311	8	1	to	to	PART
ejpam-6311	8	2	enhance	enhance	VERB
ejpam-6311	8	3	fixed	fix	VERB
ejpam-6311	8	4	point	point	NOUN
ejpam-6311	8	5	analysis	analysis	NOUN
ejpam-6311	8	6	,	,	PUNCT
ejpam-6311	8	7	researchers	researcher	NOUN
ejpam-6311	8	8	have	have	AUX
ejpam-6311	8	9	incorporated	incorporate	VERB
ejpam-6311	8	10	graph	graph	NOUN
ejpam-6311	8	11	theory	theory	NOUN
ejpam-6311	8	12	,	,	PUNCT
ejpam-6311	8	13	as	as	SCONJ
ejpam-6311	8	14	initially	initially	ADV
ejpam-6311	8	15	proposed	propose	VERB
ejpam-6311	8	16	by	by	ADP
ejpam-6311	8	17	jachymski	jachymski	PROPN
ejpam-6311	9	1	[	[	X
ejpam-6311	9	2	1	1	NUM
ejpam-6311	9	3	]	]	PUNCT
ejpam-6311	9	4	.	.	PUNCT
ejpam-6311	10	1	by	by	ADP
ejpam-6311	10	2	combining	combine	VERB
ejpam-6311	10	3	graph	graph	NOUN
ejpam-6311	10	4	theory	theory	NOUN
ejpam-6311	10	5	with	with	ADP
ejpam-6311	10	6	mapping	mapping	NOUN
ejpam-6311	10	7	analysis	analysis	NOUN
ejpam-6311	10	8	,	,	PUNCT
ejpam-6311	10	9	g	g	NOUN
ejpam-6311	10	10	-	-	PUNCT
ejpam-6311	10	11	nonexpansive	nonexpansive	ADJ
ejpam-6311	10	12	mappings	mapping	NOUN
ejpam-6311	10	13	represent	represent	VERB
ejpam-6311	10	14	a	a	DET
ejpam-6311	10	15	significant	significant	ADJ
ejpam-6311	10	16	advancement	advancement	NOUN
ejpam-6311	10	17	in	in	ADP
ejpam-6311	10	18	fixed	fix	VERB
ejpam-6311	10	19	point	point	NOUN
ejpam-6311	10	20	theory	theory	NOUN
ejpam-6311	10	21	,	,	PUNCT
ejpam-6311	10	22	contributing	contribute	VERB
ejpam-6311	10	23	to	to	ADP
ejpam-6311	10	24	the	the	DET
ejpam-6311	10	25	development	development	NOUN
ejpam-6311	10	26	of	of	ADP
ejpam-6311	10	27	more	more	ADV
ejpam-6311	10	28	powerful	powerful	ADJ
ejpam-6311	10	29	and	and	CCONJ
ejpam-6311	10	30	efficient	efficient	ADJ
ejpam-6311	10	31	iterative	iterative	NOUN
ejpam-6311	10	32	schemes	scheme	NOUN
ejpam-6311	10	33	.	.	PUNCT
ejpam-6311	11	1	recent	recent	ADJ
ejpam-6311	11	2	studies	study	NOUN
ejpam-6311	11	3	have	have	AUX
ejpam-6311	11	4	introduced	introduce	VERB
ejpam-6311	11	5	algorithms	algorithm	NOUN
ejpam-6311	11	6	for	for	ADP
ejpam-6311	11	7	finding	find	VERB
ejpam-6311	11	8	common	common	ADJ
ejpam-6311	11	9	fixed	fix	VERB
ejpam-6311	11	10	points	point	NOUN
ejpam-6311	11	11	of	of	ADP
ejpam-6311	11	12	gnonexpansive	gnonexpansive	ADJ
ejpam-6311	11	13	mappings	mapping	NOUN
ejpam-6311	11	14	in	in	ADP
ejpam-6311	11	15	graph	graph	NOUN
ejpam-6311	11	16	-	-	PUNCT
ejpam-6311	11	17	based	base	VERB
ejpam-6311	11	18	metric	metric	ADJ
ejpam-6311	11	19	spaces	space	NOUN
ejpam-6311	11	20	.	.	PUNCT
ejpam-6311	12	1	khemphet	khemphet	PROPN
ejpam-6311	12	2	et	et	PROPN
ejpam-6311	12	3	al	al	PROPN
ejpam-6311	12	4	.	.	PUNCT
ejpam-6311	13	1	[	[	X
ejpam-6311	13	2	2	2	NUM
ejpam-6311	13	3	]	]	PUNCT
ejpam-6311	13	4	improved	improved	ADJ
ejpam-6311	13	5	signal	signal	NOUN
ejpam-6311	13	6	∗corresponding	∗corresponde	VERB
ejpam-6311	13	7	author	author	NOUN
ejpam-6311	13	8	.	.	PUNCT
ejpam-6311	14	1	doi	doi	NOUN
ejpam-6311	14	2	:	:	PUNCT
ejpam-6311	14	3	https://doi.org/10.29020/nybg.ejpam.v18i3.6311	https://doi.org/10.29020/nybg.ejpam.v18i3.6311	NOUN
ejpam-6311	14	4	email	email	NOUN
ejpam-6311	14	5	addresses	address	VERB
ejpam-6311	14	6	:	:	PUNCT
ejpam-6311	14	7	sayan.panma@cmu.ac.th	sayan.panma@cmu.ac.th	PROPN
ejpam-6311	14	8	(	(	PUNCT
ejpam-6311	14	9	s.	s.	PROPN
ejpam-6311	14	10	panma	panma	PROPN
ejpam-6311	14	11	)	)	PUNCT
ejpam-6311	14	12	,	,	PUNCT
ejpam-6311	14	13	raweerote.s@gmail.com	raweerote.s@gmail.com	NUM
ejpam-6311	14	14	(	(	PUNCT
ejpam-6311	14	15	r.	r.	PROPN
ejpam-6311	14	16	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	14	17	)	)	PUNCT
ejpam-6311	14	18	,	,	PUNCT
ejpam-6311	14	19	tanadon.c@cmu.ac.th	tanadon.c@cmu.ac.th	PROPN
ejpam-6311	14	20	(	(	PUNCT
ejpam-6311	14	21	t.	t.	NOUN
ejpam-6311	14	22	chaobankoh	chaobankoh	PROPN
ejpam-6311	14	23	)	)	PUNCT
ejpam-6311	14	24	https://www.ejpam.com	https://www.ejpam.com	NOUN
ejpam-6311	15	1	1	1	NUM
ejpam-6311	15	2	copyright	copyright	NOUN
ejpam-6311	15	3	:	:	PUNCT
ejpam-6311	15	4	©	©	PROPN
ejpam-6311	15	5	2025	2025	NUM
ejpam-6311	15	6	the	the	DET
ejpam-6311	15	7	author(s	author(s	NOUN
ejpam-6311	15	8	)	)	PUNCT
ejpam-6311	15	9	.	.	PUNCT
ejpam-6311	16	1	(	(	PUNCT
ejpam-6311	16	2	cc	cc	NOUN
ejpam-6311	16	3	by	by	ADP
ejpam-6311	16	4	-	-	PUNCT
ejpam-6311	16	5	nc	nc	PROPN
ejpam-6311	16	6	4.0	4.0	NUM
ejpam-6311	16	7	)	)	PUNCT
ejpam-6311	16	8	s.	s.	PROPN
ejpam-6311	16	9	panma	panma	PROPN
ejpam-6311	16	10	,	,	PUNCT
ejpam-6311	16	11	r.	r.	PROPN
ejpam-6311	16	12	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	16	13	,	,	PUNCT
ejpam-6311	16	14	t.	t.	NOUN
ejpam-6311	16	15	chaobankoh	chaobankoh	PROPN
ejpam-6311	16	16	/	/	SYM
ejpam-6311	16	17	eur	eur	PROPN
ejpam-6311	16	18	.	.	PUNCT
ejpam-6311	17	1	j.	j.	PROPN
ejpam-6311	17	2	pure	pure	PROPN
ejpam-6311	17	3	appl	appl	PROPN
ejpam-6311	17	4	.	.	PROPN
ejpam-6311	17	5	math	math	PROPN
ejpam-6311	17	6	,	,	PUNCT
ejpam-6311	17	7	18	18	NUM
ejpam-6311	17	8	(	(	PUNCT
ejpam-6311	17	9	3	3	NUM
ejpam-6311	17	10	)	)	PUNCT
ejpam-6311	17	11	(	(	PUNCT
ejpam-6311	17	12	2025	2025	NUM
ejpam-6311	17	13	)	)	PUNCT
ejpam-6311	17	14	,	,	PUNCT
ejpam-6311	17	15	6311	6311	NUM
ejpam-6311	17	16	2	2	NUM
ejpam-6311	17	17	of	of	ADP
ejpam-6311	17	18	20	20	NUM
ejpam-6311	17	19	recovery	recovery	NOUN
ejpam-6311	17	20	using	use	VERB
ejpam-6311	17	21	inertial	inertial	NOUN
ejpam-6311	17	22	and	and	CCONJ
ejpam-6311	17	23	mann	mann	PROPN
ejpam-6311	17	24	iterations	iteration	NOUN
ejpam-6311	17	25	,	,	PUNCT
ejpam-6311	17	26	demonstrating	demonstrate	VERB
ejpam-6311	17	27	enhanced	enhance	VERB
ejpam-6311	17	28	performance	performance	NOUN
ejpam-6311	17	29	compared	compare	VERB
ejpam-6311	17	30	to	to	ADP
ejpam-6311	17	31	previous	previous	ADJ
ejpam-6311	17	32	methods	method	NOUN
ejpam-6311	17	33	.	.	PUNCT
ejpam-6311	18	1	in	in	ADP
ejpam-6311	18	2	a	a	DET
ejpam-6311	18	3	related	related	ADJ
ejpam-6311	18	4	work	work	NOUN
ejpam-6311	18	5	,	,	PUNCT
ejpam-6311	18	6	jun	jun	PROPN
ejpam-6311	18	7	-	-	PUNCT
ejpam-6311	18	8	on	on	ADP
ejpam-6311	18	9	et	et	PROPN
ejpam-6311	18	10	al	al	PROPN
ejpam-6311	18	11	.	.	PUNCT
ejpam-6311	19	1	[	[	X
ejpam-6311	19	2	3	3	X
ejpam-6311	19	3	]	]	PUNCT
ejpam-6311	19	4	proposed	propose	VERB
ejpam-6311	19	5	a	a	DET
ejpam-6311	19	6	new	new	ADJ
ejpam-6311	19	7	inertial	inertial	ADJ
ejpam-6311	19	8	parallel	parallel	ADJ
ejpam-6311	19	9	algorithm	algorithm	NOUN
ejpam-6311	19	10	for	for	ADP
ejpam-6311	19	11	solving	solve	VERB
ejpam-6311	19	12	the	the	DET
ejpam-6311	19	13	common	common	ADJ
ejpam-6311	19	14	fixed	fix	VERB
ejpam-6311	19	15	point	point	NOUN
ejpam-6311	19	16	problem	problem	NOUN
ejpam-6311	19	17	and	and	CCONJ
ejpam-6311	19	18	applied	apply	VERB
ejpam-6311	19	19	it	it	PRON
ejpam-6311	19	20	to	to	PART
ejpam-6311	19	21	signal	signal	VERB
ejpam-6311	19	22	recovery	recovery	NOUN
ejpam-6311	19	23	tasks	task	NOUN
ejpam-6311	19	24	.	.	PUNCT
ejpam-6311	20	1	in	in	ADP
ejpam-6311	20	2	2024	2024	NUM
ejpam-6311	20	3	,	,	PUNCT
ejpam-6311	20	4	a	a	DET
ejpam-6311	20	5	monotone	monotone	ADJ
ejpam-6311	20	6	hybrid	hybrid	ADJ
ejpam-6311	20	7	algorithm	algorithm	NOUN
ejpam-6311	20	8	based	base	VERB
ejpam-6311	20	9	on	on	ADP
ejpam-6311	20	10	a	a	DET
ejpam-6311	20	11	parallel	parallel	ADJ
ejpam-6311	20	12	inertial	inertial	ADJ
ejpam-6311	20	13	spiteration	spiteration	NOUN
ejpam-6311	20	14	was	be	AUX
ejpam-6311	20	15	proposed	propose	VERB
ejpam-6311	20	16	,	,	PUNCT
ejpam-6311	20	17	with	with	ADP
ejpam-6311	20	18	its	its	PRON
ejpam-6311	20	19	weak	weak	ADJ
ejpam-6311	20	20	convergence	convergence	NOUN
ejpam-6311	20	21	established	establish	VERB
ejpam-6311	20	22	and	and	CCONJ
ejpam-6311	20	23	effectiveness	effectiveness	NOUN
ejpam-6311	20	24	demonstrated	demonstrate	VERB
ejpam-6311	20	25	in	in	ADP
ejpam-6311	20	26	solving	solve	VERB
ejpam-6311	20	27	linear	linear	NOUN
ejpam-6311	20	28	systems	system	NOUN
ejpam-6311	20	29	,	,	PUNCT
ejpam-6311	20	30	differential	differential	NOUN
ejpam-6311	20	31	equations	equation	NOUN
ejpam-6311	20	32	,	,	PUNCT
ejpam-6311	20	33	and	and	CCONJ
ejpam-6311	20	34	signal	signal	ADJ
ejpam-6311	20	35	recovery	recovery	NOUN
ejpam-6311	20	36	problems	problem	NOUN
ejpam-6311	20	37	[	[	X
ejpam-6311	20	38	4	4	NUM
ejpam-6311	20	39	]	]	PUNCT
ejpam-6311	20	40	.	.	PUNCT
ejpam-6311	21	1	additionally	additionally	ADV
ejpam-6311	21	2	,	,	PUNCT
ejpam-6311	21	3	further	further	ADJ
ejpam-6311	21	4	research	research	NOUN
ejpam-6311	21	5	concerning	concern	VERB
ejpam-6311	21	6	this	this	DET
ejpam-6311	21	7	type	type	NOUN
ejpam-6311	21	8	of	of	ADP
ejpam-6311	21	9	mappings	mapping	NOUN
ejpam-6311	21	10	can	can	AUX
ejpam-6311	21	11	be	be	AUX
ejpam-6311	21	12	found	find	VERB
ejpam-6311	21	13	in	in	ADP
ejpam-6311	21	14	,	,	PUNCT
ejpam-6311	21	15	for	for	ADP
ejpam-6311	21	16	example	example	NOUN
ejpam-6311	21	17	,	,	PUNCT
ejpam-6311	21	18	the	the	DET
ejpam-6311	21	19	works	work	NOUN
ejpam-6311	21	20	of	of	ADP
ejpam-6311	21	21	[	[	X
ejpam-6311	21	22	5–9	5–9	X
ejpam-6311	21	23	]	]	PUNCT
ejpam-6311	21	24	.	.	PUNCT
ejpam-6311	22	1	through	through	ADP
ejpam-6311	22	2	theoretical	theoretical	ADJ
ejpam-6311	22	3	analysis	analysis	NOUN
ejpam-6311	22	4	and	and	CCONJ
ejpam-6311	22	5	numerical	numerical	ADJ
ejpam-6311	22	6	experiments	experiment	NOUN
ejpam-6311	22	7	,	,	PUNCT
ejpam-6311	22	8	these	these	DET
ejpam-6311	22	9	studies	study	NOUN
ejpam-6311	22	10	have	have	AUX
ejpam-6311	22	11	collectively	collectively	ADV
ejpam-6311	22	12	broadened	broaden	VERB
ejpam-6311	22	13	the	the	DET
ejpam-6311	22	14	scope	scope	NOUN
ejpam-6311	22	15	of	of	ADP
ejpam-6311	22	16	fixed	fix	VERB
ejpam-6311	22	17	point	point	NOUN
ejpam-6311	22	18	theory	theory	NOUN
ejpam-6311	22	19	for	for	ADP
ejpam-6311	22	20	g	g	NOUN
ejpam-6311	22	21	-	-	PUNCT
ejpam-6311	22	22	nonexpansive	nonexpansive	ADJ
ejpam-6311	22	23	mappings	mapping	NOUN
ejpam-6311	22	24	.	.	PUNCT
ejpam-6311	23	1	with	with	ADP
ejpam-6311	23	2	the	the	DET
ejpam-6311	23	3	growing	grow	VERB
ejpam-6311	23	4	urgency	urgency	NOUN
ejpam-6311	23	5	of	of	ADP
ejpam-6311	23	6	environmental	environmental	ADJ
ejpam-6311	23	7	concerns	concern	NOUN
ejpam-6311	23	8	,	,	PUNCT
ejpam-6311	23	9	particularly	particularly	ADV
ejpam-6311	23	10	fine	fine	ADJ
ejpam-6311	23	11	particulate	particulate	NOUN
ejpam-6311	23	12	matter	matter	NOUN
ejpam-6311	23	13	(	(	PUNCT
ejpam-6311	23	14	pm2.5	pm2.5	NOUN
ejpam-6311	23	15	)	)	PUNCT
ejpam-6311	23	16	pollution	pollution	NOUN
ejpam-6311	23	17	,	,	PUNCT
ejpam-6311	23	18	methods	method	NOUN
ejpam-6311	23	19	are	be	AUX
ejpam-6311	23	20	being	be	AUX
ejpam-6311	23	21	developed	develop	VERB
ejpam-6311	23	22	to	to	PART
ejpam-6311	23	23	accurately	accurately	ADV
ejpam-6311	23	24	estimate	estimate	VERB
ejpam-6311	23	25	ground	ground	NOUN
ejpam-6311	23	26	-	-	PUNCT
ejpam-6311	23	27	level	level	NOUN
ejpam-6311	23	28	concentrations	concentration	NOUN
ejpam-6311	23	29	.	.	PUNCT
ejpam-6311	24	1	in	in	ADP
ejpam-6311	24	2	[	[	X
ejpam-6311	24	3	10	10	NUM
ejpam-6311	24	4	]	]	PUNCT
ejpam-6311	24	5	,	,	PUNCT
ejpam-6311	24	6	an	an	DET
ejpam-6311	24	7	image	image	NOUN
ejpam-6311	24	8	-	-	PUNCT
ejpam-6311	24	9	based	base	VERB
ejpam-6311	24	10	pm2.5	pm2.5	PROPN
ejpam-6311	24	11	estimation	estimation	NOUN
ejpam-6311	24	12	method	method	NOUN
ejpam-6311	24	13	using	use	VERB
ejpam-6311	24	14	image	image	NOUN
ejpam-6311	24	15	processing	processing	NOUN
ejpam-6311	24	16	and	and	CCONJ
ejpam-6311	24	17	linear	linear	PROPN
ejpam-6311	24	18	regression	regression	NOUN
ejpam-6311	24	19	was	be	AUX
ejpam-6311	24	20	proposed	propose	VERB
ejpam-6311	24	21	by	by	ADP
ejpam-6311	24	22	analyzing	analyze	VERB
ejpam-6311	24	23	differences	difference	NOUN
ejpam-6311	24	24	between	between	ADP
ejpam-6311	24	25	images	image	NOUN
ejpam-6311	24	26	with	with	ADP
ejpam-6311	24	27	high	high	ADJ
ejpam-6311	24	28	and	and	CCONJ
ejpam-6311	24	29	low	low	ADJ
ejpam-6311	24	30	pm2.5	pm2.5	ADJ
ejpam-6311	24	31	concentrations	concentration	NOUN
ejpam-6311	24	32	.	.	PUNCT
ejpam-6311	25	1	also	also	ADV
ejpam-6311	25	2	,	,	PUNCT
ejpam-6311	25	3	in	in	ADP
ejpam-6311	25	4	[	[	PUNCT
ejpam-6311	25	5	11	11	NUM
ejpam-6311	25	6	]	]	PUNCT
ejpam-6311	25	7	,	,	PUNCT
ejpam-6311	25	8	the	the	DET
ejpam-6311	25	9	authors	author	NOUN
ejpam-6311	25	10	introduced	introduce	VERB
ejpam-6311	25	11	a	a	DET
ejpam-6311	25	12	cnn	cnn	PROPN
ejpam-6311	25	13	-	-	PUNCT
ejpam-6311	25	14	svr	svr	PROPN
ejpam-6311	25	15	approach	approach	NOUN
ejpam-6311	25	16	for	for	ADP
ejpam-6311	25	17	image	image	NOUN
ejpam-6311	25	18	-	-	PUNCT
ejpam-6311	25	19	based	base	VERB
ejpam-6311	25	20	pm2.5	pm2.5	PROPN
ejpam-6311	25	21	estimation	estimation	NOUN
ejpam-6311	25	22	,	,	PUNCT
ejpam-6311	25	23	enabling	enable	VERB
ejpam-6311	25	24	real	real	ADJ
ejpam-6311	25	25	-	-	PUNCT
ejpam-6311	25	26	time	time	NOUN
ejpam-6311	25	27	analysis	analysis	NOUN
ejpam-6311	25	28	from	from	ADP
ejpam-6311	25	29	single	single	ADJ
ejpam-6311	25	30	image	image	NOUN
ejpam-6311	25	31	captures	capture	NOUN
ejpam-6311	25	32	.	.	PUNCT
ejpam-6311	26	1	this	this	DET
ejpam-6311	26	2	approach	approach	NOUN
ejpam-6311	26	3	,	,	PUNCT
ejpam-6311	26	4	supported	support	VERB
ejpam-6311	26	5	by	by	ADP
ejpam-6311	26	6	its	its	PRON
ejpam-6311	26	7	ability	ability	NOUN
ejpam-6311	26	8	to	to	PART
ejpam-6311	26	9	handle	handle	VERB
ejpam-6311	26	10	extensive	extensive	ADJ
ejpam-6311	26	11	datasets	dataset	NOUN
ejpam-6311	26	12	and	and	CCONJ
ejpam-6311	26	13	complex	complex	ADJ
ejpam-6311	26	14	algorithms	algorithm	NOUN
ejpam-6311	26	15	(	(	PUNCT
ejpam-6311	26	16	see	see	VERB
ejpam-6311	26	17	[	[	X
ejpam-6311	26	18	12–14	12–14	NUM
ejpam-6311	26	19	]	]	X
ejpam-6311	26	20	)	)	PUNCT
ejpam-6311	26	21	makes	make	VERB
ejpam-6311	26	22	it	it	PRON
ejpam-6311	26	23	a	a	DET
ejpam-6311	26	24	significant	significant	ADJ
ejpam-6311	26	25	contribution	contribution	NOUN
ejpam-6311	26	26	to	to	ADP
ejpam-6311	26	27	pm2.5	pm2.5	DET
ejpam-6311	26	28	prediction	prediction	NOUN
ejpam-6311	26	29	,	,	PUNCT
ejpam-6311	26	30	potentially	potentially	ADV
ejpam-6311	26	31	improving	improve	VERB
ejpam-6311	26	32	air	air	NOUN
ejpam-6311	26	33	quality	quality	NOUN
ejpam-6311	26	34	management	management	NOUN
ejpam-6311	26	35	.	.	PUNCT
ejpam-6311	27	1	in	in	ADP
ejpam-6311	27	2	[	[	X
ejpam-6311	27	3	15	15	NUM
ejpam-6311	27	4	]	]	X
ejpam-6311	27	5	,	,	PUNCT
ejpam-6311	27	6	an	an	DET
ejpam-6311	27	7	algorithm	algorithm	NOUN
ejpam-6311	27	8	was	be	AUX
ejpam-6311	27	9	presented	present	VERB
ejpam-6311	27	10	for	for	ADP
ejpam-6311	27	11	generating	generate	VERB
ejpam-6311	27	12	a	a	DET
ejpam-6311	27	13	sequence	sequence	NOUN
ejpam-6311	27	14	{	{	PUNCT
ejpam-6311	27	15	xn	xn	NUM
ejpam-6311	27	16	}	}	PUNCT
ejpam-6311	27	17	in	in	ADP
ejpam-6311	27	18	a	a	DET
ejpam-6311	27	19	banach	banach	NOUN
ejpam-6311	27	20	space	space	NOUN
ejpam-6311	27	21	e	e	NOUN
ejpam-6311	27	22	,	,	PUNCT
ejpam-6311	27	23	achieving	achieve	VERB
ejpam-6311	27	24	faster	fast	ADJ
ejpam-6311	27	25	convergence	convergence	NOUN
ejpam-6311	27	26	than	than	ADP
ejpam-6311	27	27	picard	picard	NOUN
ejpam-6311	27	28	,	,	PUNCT
ejpam-6311	27	29	mann	mann	PROPN
ejpam-6311	27	30	,	,	PUNCT
ejpam-6311	27	31	and	and	CCONJ
ejpam-6311	27	32	agarwal	agarwal	PROPN
ejpam-6311	27	33	et	et	PROPN
ejpam-6311	27	34	al	al	PROPN
ejpam-6311	27	35	.	.	PROPN
ejpam-6311	28	1	methods	method	NOUN
ejpam-6311	28	2	for	for	ADP
ejpam-6311	28	3	nonexpansive	nonexpansive	ADJ
ejpam-6311	28	4	mappings	mapping	NOUN
ejpam-6311	28	5	t	t	NOUN
ejpam-6311	28	6	:	:	PUNCT
ejpam-6311	28	7	e	e	X
ejpam-6311	28	8	→	→	PUNCT
ejpam-6311	28	9	e.	e.	PROPN
ejpam-6311	28	10	the	the	DET
ejpam-6311	28	11	iterative	iterative	NOUN
ejpam-6311	28	12	process	process	NOUN
ejpam-6311	28	13	is	be	AUX
ejpam-6311	28	14	given	give	VERB
ejpam-6311	28	15	by:	by:	NUM
ejpam-6311	28	16	x1	x1	NUM
ejpam-6311	28	17	∈	∈	PROPN
ejpam-6311	28	18	e	e	NOUN
ejpam-6311	28	19	,	,	PUNCT
ejpam-6311	28	20	xn+1	xn+1	PROPN
ejpam-6311	28	21	=	=	SYM
ejpam-6311	28	22	(	(	PUNCT
ejpam-6311	28	23	1−	1−	NUM
ejpam-6311	28	24	αn)tyn	αn)tyn	PRON
ejpam-6311	28	25	+	+	NUM
ejpam-6311	28	26	αntzn	αntzn	NOUN
ejpam-6311	28	27	,	,	PUNCT
ejpam-6311	28	28	yn	yn	PROPN
ejpam-6311	28	29	=	=	PUNCT
ejpam-6311	28	30	(	(	PUNCT
ejpam-6311	28	31	1−	1−	NUM
ejpam-6311	28	32	βn)txn	βn)txn	NUM
ejpam-6311	28	33	+	+	CCONJ
ejpam-6311	28	34	βntzn	βntzn	ADJ
ejpam-6311	28	35	,	,	PUNCT
ejpam-6311	28	36	zn	zn	X
ejpam-6311	28	37	=	=	SYM
ejpam-6311	28	38	(	(	PUNCT
ejpam-6311	28	39	1−	1−	NUM
ejpam-6311	28	40	γn)xn	γn)xn	PROPN
ejpam-6311	28	41	+	+	CCONJ
ejpam-6311	28	42	γntxn	γntxn	PROPN
ejpam-6311	28	43	,	,	PUNCT
ejpam-6311	28	44	n	n	PROPN
ejpam-6311	28	45	∈	∈	PROPN
ejpam-6311	28	46	n	n	CCONJ
ejpam-6311	28	47	,	,	PUNCT
ejpam-6311	28	48	(	(	PUNCT
ejpam-6311	28	49	1	1	X
ejpam-6311	28	50	)	)	PUNCT
ejpam-6311	28	51	where	where	SCONJ
ejpam-6311	28	52	αn	αn	NOUN
ejpam-6311	28	53	,	,	PUNCT
ejpam-6311	28	54	βn	βn	ADJ
ejpam-6311	28	55	,	,	PUNCT
ejpam-6311	28	56	γn	γn	NUM
ejpam-6311	28	57	are	be	AUX
ejpam-6311	28	58	sequences	sequence	NOUN
ejpam-6311	28	59	in	in	ADP
ejpam-6311	28	60	the	the	DET
ejpam-6311	28	61	open	open	ADJ
ejpam-6311	28	62	unit	unit	NOUN
ejpam-6311	28	63	interval	interval	NOUN
ejpam-6311	28	64	.	.	PUNCT
ejpam-6311	29	1	inspired	inspire	VERB
ejpam-6311	29	2	by	by	ADP
ejpam-6311	29	3	these	these	DET
ejpam-6311	29	4	findings	finding	NOUN
ejpam-6311	29	5	,	,	PUNCT
ejpam-6311	29	6	based	base	VERB
ejpam-6311	29	7	on	on	ADP
ejpam-6311	29	8	the	the	DET
ejpam-6311	29	9	iterative	iterative	NOUN
ejpam-6311	29	10	process	process	NOUN
ejpam-6311	29	11	(	(	PUNCT
ejpam-6311	29	12	1	1	NUM
ejpam-6311	29	13	)	)	PUNCT
ejpam-6311	29	14	,	,	PUNCT
ejpam-6311	29	15	we	we	PRON
ejpam-6311	29	16	develop	develop	VERB
ejpam-6311	29	17	algorithm	algorithm	NOUN
ejpam-6311	29	18	1	1	NUM
ejpam-6311	29	19	,	,	PUNCT
ejpam-6311	29	20	a	a	DET
ejpam-6311	29	21	hybrid	hybrid	ADJ
ejpam-6311	29	22	algorithm	algorithm	NOUN
ejpam-6311	29	23	that	that	PRON
ejpam-6311	29	24	combines	combine	VERB
ejpam-6311	29	25	the	the	DET
ejpam-6311	29	26	parallel	parallel	ADJ
ejpam-6311	29	27	monotone	monotone	ADJ
ejpam-6311	29	28	hybrid	hybrid	ADJ
ejpam-6311	29	29	algorithm	algorithm	NOUN
ejpam-6311	29	30	with	with	ADP
ejpam-6311	29	31	the	the	DET
ejpam-6311	29	32	inertial	inertial	ADJ
ejpam-6311	29	33	method	method	NOUN
ejpam-6311	29	34	.	.	PUNCT
ejpam-6311	30	1	we	we	PRON
ejpam-6311	30	2	establish	establish	VERB
ejpam-6311	30	3	weak	weak	ADJ
ejpam-6311	30	4	convergence	convergence	NOUN
ejpam-6311	30	5	theorems	theorem	NOUN
ejpam-6311	30	6	for	for	ADP
ejpam-6311	30	7	finding	find	VERB
ejpam-6311	30	8	common	common	ADJ
ejpam-6311	30	9	fixed	fix	VERB
ejpam-6311	30	10	points	point	NOUN
ejpam-6311	30	11	of	of	ADP
ejpam-6311	30	12	g	g	NOUN
ejpam-6311	30	13	-	-	PUNCT
ejpam-6311	30	14	nonexpansive	nonexpansive	ADJ
ejpam-6311	30	15	mappings	mapping	NOUN
ejpam-6311	30	16	in	in	ADP
ejpam-6311	30	17	real	real	ADJ
ejpam-6311	30	18	hilbert	hilbert	NOUN
ejpam-6311	30	19	spaces	space	NOUN
ejpam-6311	30	20	endowed	endow	VERB
ejpam-6311	30	21	with	with	ADP
ejpam-6311	30	22	directed	direct	VERB
ejpam-6311	30	23	graphs	graph	NOUN
ejpam-6311	30	24	g	g	NOUN
ejpam-6311	30	25	under	under	ADP
ejpam-6311	30	26	certain	certain	ADJ
ejpam-6311	30	27	conditions	condition	NOUN
ejpam-6311	30	28	.	.	PUNCT
ejpam-6311	31	1	finally	finally	ADV
ejpam-6311	31	2	,	,	PUNCT
ejpam-6311	31	3	we	we	PRON
ejpam-6311	31	4	validate	validate	VERB
ejpam-6311	31	5	our	our	PRON
ejpam-6311	31	6	results	result	NOUN
ejpam-6311	31	7	through	through	ADP
ejpam-6311	31	8	a	a	DET
ejpam-6311	31	9	real	real	ADJ
ejpam-6311	31	10	-	-	PUNCT
ejpam-6311	31	11	world	world	NOUN
ejpam-6311	31	12	pm2.5	pm2.5	ADV
ejpam-6311	31	13	-	-	PUNCT
ejpam-6311	31	14	related	relate	VERB
ejpam-6311	31	15	image	image	NOUN
ejpam-6311	31	16	recovery	recovery	NOUN
ejpam-6311	31	17	task	task	NOUN
ejpam-6311	31	18	in	in	ADP
ejpam-6311	31	19	chiang	chiang	PROPN
ejpam-6311	31	20	mai	mai	PROPN
ejpam-6311	31	21	,	,	PUNCT
ejpam-6311	31	22	thailand	thailand	PROPN
ejpam-6311	31	23	,	,	PUNCT
ejpam-6311	31	24	where	where	SCONJ
ejpam-6311	31	25	we	we	PRON
ejpam-6311	31	26	process	process	VERB
ejpam-6311	31	27	images	image	NOUN
ejpam-6311	31	28	using	use	VERB
ejpam-6311	31	29	multiple	multiple	ADJ
ejpam-6311	31	30	blurring	blur	VERB
ejpam-6311	31	31	filters	filter	NOUN
ejpam-6311	31	32	and	and	CCONJ
ejpam-6311	31	33	conduct	conduct	VERB
ejpam-6311	31	34	a	a	DET
ejpam-6311	31	35	comparative	comparative	ADJ
ejpam-6311	31	36	analysis	analysis	NOUN
ejpam-6311	31	37	against	against	ADP
ejpam-6311	31	38	existing	exist	VERB
ejpam-6311	31	39	algorithms	algorithm	NOUN
ejpam-6311	31	40	presented	present	VERB
ejpam-6311	31	41	in	in	ADP
ejpam-6311	31	42	[	[	X
ejpam-6311	31	43	3	3	NUM
ejpam-6311	31	44	]	]	PUNCT
ejpam-6311	31	45	and	and	CCONJ
ejpam-6311	31	46	[	[	X
ejpam-6311	31	47	4	4	NUM
ejpam-6311	31	48	]	]	PUNCT
ejpam-6311	31	49	.	.	PUNCT
ejpam-6311	32	1	2	2	X
ejpam-6311	32	2	.	.	X
ejpam-6311	32	3	preliminaries	preliminary	NOUN
ejpam-6311	32	4	in	in	ADP
ejpam-6311	32	5	this	this	DET
ejpam-6311	32	6	section	section	NOUN
ejpam-6311	32	7	,	,	PUNCT
ejpam-6311	32	8	we	we	PRON
ejpam-6311	32	9	present	present	VERB
ejpam-6311	32	10	some	some	DET
ejpam-6311	32	11	useful	useful	ADJ
ejpam-6311	32	12	notations	notation	NOUN
ejpam-6311	32	13	,	,	PUNCT
ejpam-6311	32	14	definitions	definition	NOUN
ejpam-6311	32	15	and	and	CCONJ
ejpam-6311	32	16	results	result	NOUN
ejpam-6311	32	17	that	that	PRON
ejpam-6311	32	18	will	will	AUX
ejpam-6311	32	19	be	be	AUX
ejpam-6311	32	20	used	use	VERB
ejpam-6311	32	21	in	in	ADP
ejpam-6311	32	22	the	the	DET
ejpam-6311	32	23	next	next	ADJ
ejpam-6311	32	24	section	section	NOUN
ejpam-6311	32	25	.	.	PUNCT
ejpam-6311	33	1	a	a	DET
ejpam-6311	33	2	directed	direct	VERB
ejpam-6311	33	3	graph	graph	NOUN
ejpam-6311	33	4	g	g	NOUN
ejpam-6311	33	5	consists	consist	VERB
ejpam-6311	33	6	of	of	ADP
ejpam-6311	33	7	a	a	DET
ejpam-6311	33	8	non	non	ADJ
ejpam-6311	33	9	-	-	ADJ
ejpam-6311	33	10	empty	empty	ADJ
ejpam-6311	33	11	vertex	vertex	NOUN
ejpam-6311	33	12	set	set	VERB
ejpam-6311	33	13	v	v	NOUN
ejpam-6311	33	14	(	(	PUNCT
ejpam-6311	33	15	g	g	NOUN
ejpam-6311	33	16	)	)	PUNCT
ejpam-6311	33	17	and	and	CCONJ
ejpam-6311	33	18	an	an	DET
ejpam-6311	33	19	edge	edge	NOUN
ejpam-6311	33	20	set	set	VERB
ejpam-6311	33	21	e(g	e(g	PROPN
ejpam-6311	33	22	)	)	PUNCT
ejpam-6311	33	23	,	,	PUNCT
ejpam-6311	33	24	where	where	SCONJ
ejpam-6311	33	25	each	each	DET
ejpam-6311	33	26	edge	edge	NOUN
ejpam-6311	33	27	is	be	AUX
ejpam-6311	33	28	an	an	DET
ejpam-6311	33	29	ordered	order	VERB
ejpam-6311	33	30	pair	pair	NOUN
ejpam-6311	33	31	that	that	PRON
ejpam-6311	33	32	specifies	specify	VERB
ejpam-6311	33	33	a	a	DET
ejpam-6311	33	34	direction	direction	NOUN
ejpam-6311	33	35	from	from	ADP
ejpam-6311	33	36	one	one	NUM
ejpam-6311	33	37	vertex	vertex	NOUN
ejpam-6311	33	38	to	to	ADP
ejpam-6311	33	39	another	another	PRON
ejpam-6311	33	40	.	.	PUNCT
ejpam-6311	34	1	s.	s.	PROPN
ejpam-6311	34	2	panma	panma	PROPN
ejpam-6311	34	3	,	,	PUNCT
ejpam-6311	34	4	r.	r.	PROPN
ejpam-6311	34	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	34	6	,	,	PUNCT
ejpam-6311	34	7	t.	t.	NOUN
ejpam-6311	34	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	34	9	/	/	SYM
ejpam-6311	34	10	eur	eur	PROPN
ejpam-6311	34	11	.	.	PUNCT
ejpam-6311	35	1	j.	j.	PROPN
ejpam-6311	35	2	pure	pure	PROPN
ejpam-6311	35	3	appl	appl	PROPN
ejpam-6311	35	4	.	.	PROPN
ejpam-6311	35	5	math	math	PROPN
ejpam-6311	35	6	,	,	PUNCT
ejpam-6311	35	7	18	18	NUM
ejpam-6311	35	8	(	(	PUNCT
ejpam-6311	35	9	3	3	NUM
ejpam-6311	35	10	)	)	PUNCT
ejpam-6311	35	11	(	(	PUNCT
ejpam-6311	35	12	2025	2025	NUM
ejpam-6311	35	13	)	)	PUNCT
ejpam-6311	35	14	,	,	PUNCT
ejpam-6311	35	15	6311	6311	NUM
ejpam-6311	35	16	3	3	NUM
ejpam-6311	35	17	of	of	ADP
ejpam-6311	35	18	20	20	NUM
ejpam-6311	35	19	a	a	DET
ejpam-6311	35	20	non	non	ADJ
ejpam-6311	35	21	-	-	ADJ
ejpam-6311	35	22	empty	empty	ADJ
ejpam-6311	35	23	set	set	NOUN
ejpam-6311	35	24	x	x	PUNCT
ejpam-6311	35	25	is	be	AUX
ejpam-6311	35	26	said	say	VERB
ejpam-6311	35	27	to	to	PART
ejpam-6311	35	28	be	be	AUX
ejpam-6311	35	29	equipped	equip	VERB
ejpam-6311	35	30	with	with	ADP
ejpam-6311	35	31	a	a	DET
ejpam-6311	35	32	directed	direct	VERB
ejpam-6311	35	33	graph	graph	NOUN
ejpam-6311	35	34	g	g	PROPN
ejpam-6311	35	35	=	=	PUNCT
ejpam-6311	35	36	(	(	PUNCT
ejpam-6311	35	37	v	v	NOUN
ejpam-6311	35	38	(	(	PUNCT
ejpam-6311	35	39	g	g	NOUN
ejpam-6311	35	40	)	)	PUNCT
ejpam-6311	35	41	,	,	PUNCT
ejpam-6311	35	42	e(g	e(g	PROPN
ejpam-6311	35	43	)	)	PUNCT
ejpam-6311	35	44	)	)	PUNCT
ejpam-6311	36	1	if	if	SCONJ
ejpam-6311	36	2	g	g	PROPN
ejpam-6311	36	3	has	have	VERB
ejpam-6311	36	4	no	no	DET
ejpam-6311	36	5	parallel	parallel	ADJ
ejpam-6311	36	6	edges	edge	NOUN
ejpam-6311	36	7	(	(	PUNCT
ejpam-6311	36	8	i.e.	i.e.	X
ejpam-6311	36	9	,	,	PUNCT
ejpam-6311	36	10	all	all	DET
ejpam-6311	36	11	edges	edge	NOUN
ejpam-6311	36	12	in	in	ADP
ejpam-6311	36	13	e(g	e(g	PROPN
ejpam-6311	36	14	)	)	PUNCT
ejpam-6311	36	15	are	be	AUX
ejpam-6311	36	16	distinct	distinct	ADJ
ejpam-6311	36	17	)	)	PUNCT
ejpam-6311	36	18	.	.	PUNCT
ejpam-6311	37	1	throughout	throughout	ADP
ejpam-6311	37	2	this	this	DET
ejpam-6311	37	3	article	article	NOUN
ejpam-6311	37	4	,	,	PUNCT
ejpam-6311	37	5	we	we	PRON
ejpam-6311	37	6	assume	assume	VERB
ejpam-6311	37	7	that	that	SCONJ
ejpam-6311	37	8	x	x	X
ejpam-6311	37	9	:	:	PUNCT
ejpam-6311	37	10	=	=	SYM
ejpam-6311	37	11	(	(	PUNCT
ejpam-6311	37	12	x	x	X
ejpam-6311	37	13	,	,	PUNCT
ejpam-6311	37	14	⟨	⟨	NOUN
ejpam-6311	37	15	·	·	SYM
ejpam-6311	37	16	,	,	PUNCT
ejpam-6311	37	17	·	·	PUNCT
ejpam-6311	37	18	⟩	⟩	NOUN
ejpam-6311	37	19	)	)	PUNCT
ejpam-6311	37	20	is	be	AUX
ejpam-6311	37	21	a	a	DET
ejpam-6311	37	22	real	real	ADJ
ejpam-6311	37	23	hilbert	hilbert	NOUN
ejpam-6311	37	24	space	space	NOUN
ejpam-6311	37	25	,	,	PUNCT
ejpam-6311	37	26	where	where	SCONJ
ejpam-6311	37	27	∥	∥	X
ejpam-6311	37	28	·	·	PUNCT
ejpam-6311	37	29	∥	∥	PUNCT
ejpam-6311	37	30	denotes	denote	VERB
ejpam-6311	37	31	the	the	DET
ejpam-6311	37	32	induced	induced	ADJ
ejpam-6311	37	33	norm	norm	NOUN
ejpam-6311	37	34	,	,	PUNCT
ejpam-6311	37	35	and	and	CCONJ
ejpam-6311	37	36	is	be	AUX
ejpam-6311	37	37	equipped	equip	VERB
ejpam-6311	37	38	with	with	ADP
ejpam-6311	37	39	a	a	DET
ejpam-6311	37	40	directed	direct	VERB
ejpam-6311	37	41	graph	graph	NOUN
ejpam-6311	37	42	g	g	PROPN
ejpam-6311	37	43	=	=	PUNCT
ejpam-6311	37	44	(	(	PUNCT
ejpam-6311	37	45	v	v	NOUN
ejpam-6311	37	46	(	(	PUNCT
ejpam-6311	37	47	g	g	NOUN
ejpam-6311	37	48	)	)	PUNCT
ejpam-6311	37	49	,	,	PUNCT
ejpam-6311	37	50	e(g	e(g	PROPN
ejpam-6311	37	51	)	)	PUNCT
ejpam-6311	37	52	)	)	PUNCT
ejpam-6311	37	53	.	.	PUNCT
ejpam-6311	38	1	we	we	PRON
ejpam-6311	38	2	also	also	ADV
ejpam-6311	38	3	denote	denote	VERB
ejpam-6311	38	4	⇀	⇀	PROPN
ejpam-6311	38	5	and	and	CCONJ
ejpam-6311	38	6	→	→	PUNCT
ejpam-6311	38	7	as	as	ADV
ejpam-6311	38	8	weak	weak	ADJ
ejpam-6311	38	9	and	and	CCONJ
ejpam-6311	38	10	strong	strong	ADJ
ejpam-6311	38	11	convergence	convergence	NOUN
ejpam-6311	38	12	,	,	PUNCT
ejpam-6311	38	13	respectively	respectively	ADV
ejpam-6311	38	14	.	.	PUNCT
ejpam-6311	39	1	definition	definition	NOUN
ejpam-6311	39	2	1	1	NUM
ejpam-6311	39	3	.	.	PUNCT
ejpam-6311	40	1	[	[	X
ejpam-6311	40	2	16	16	NUM
ejpam-6311	40	3	]	]	PUNCT
ejpam-6311	40	4	let	let	VERB
ejpam-6311	40	5	j	j	PROPN
ejpam-6311	40	6	be	be	AUX
ejpam-6311	40	7	a	a	DET
ejpam-6311	40	8	self	self	NOUN
ejpam-6311	40	9	-	-	PUNCT
ejpam-6311	40	10	mapping	mapping	NOUN
ejpam-6311	40	11	on	on	ADP
ejpam-6311	40	12	x.	x.	NOUN
ejpam-6311	40	13	then	then	ADV
ejpam-6311	40	14	,	,	PUNCT
ejpam-6311	40	15	j	j	PROPN
ejpam-6311	40	16	is	be	AUX
ejpam-6311	40	17	said	say	VERB
ejpam-6311	40	18	to	to	PART
ejpam-6311	40	19	be	be	AUX
ejpam-6311	40	20	g	g	NOUN
ejpam-6311	40	21	-	-	PUNCT
ejpam-6311	40	22	nonexpansive	nonexpansive	ADJ
ejpam-6311	40	23	if	if	SCONJ
ejpam-6311	40	24	(	(	PUNCT
ejpam-6311	40	25	i	i	NOUN
ejpam-6311	40	26	)	)	PUNCT
ejpam-6311	40	27	j	j	PROPN
ejpam-6311	40	28	is	be	AUX
ejpam-6311	40	29	edge	edge	NOUN
ejpam-6311	40	30	-	-	PUNCT
ejpam-6311	40	31	preserving	preserve	VERB
ejpam-6311	40	32	,	,	PUNCT
ejpam-6311	40	33	that	that	ADV
ejpam-6311	40	34	is	is	ADV
ejpam-6311	40	35	,	,	PUNCT
ejpam-6311	40	36	for	for	ADP
ejpam-6311	40	37	u	u	NOUN
ejpam-6311	40	38	,	,	PUNCT
ejpam-6311	40	39	v	v	PROPN
ejpam-6311	40	40	∈	∈	PROPN
ejpam-6311	40	41	v	v	NOUN
ejpam-6311	40	42	(	(	PUNCT
ejpam-6311	40	43	g	g	NOUN
ejpam-6311	40	44	)	)	PUNCT
ejpam-6311	40	45	,	,	PUNCT
ejpam-6311	40	46	(	(	PUNCT
ejpam-6311	40	47	u	u	NOUN
ejpam-6311	40	48	,	,	PUNCT
ejpam-6311	40	49	v	v	NOUN
ejpam-6311	40	50	)	)	PUNCT
ejpam-6311	40	51	∈	∈	PROPN
ejpam-6311	40	52	e(g	e(g	PROPN
ejpam-6311	40	53	)	)	PUNCT
ejpam-6311	40	54	⇒	⇒	PROPN
ejpam-6311	40	55	(	(	PUNCT
ejpam-6311	40	56	ju	ju	PROPN
ejpam-6311	40	57	,	,	PUNCT
ejpam-6311	40	58	jv	jv	PROPN
ejpam-6311	40	59	)	)	PUNCT
ejpam-6311	40	60	∈	∈	PROPN
ejpam-6311	40	61	e(g	e(g	PROPN
ejpam-6311	40	62	)	)	PUNCT
ejpam-6311	40	63	;	;	PUNCT
ejpam-6311	40	64	(	(	PUNCT
ejpam-6311	40	65	ii	ii	NOUN
ejpam-6311	40	66	)	)	PUNCT
ejpam-6311	40	67	for	for	ADP
ejpam-6311	40	68	u	u	NOUN
ejpam-6311	40	69	,	,	PUNCT
ejpam-6311	40	70	v	v	PROPN
ejpam-6311	40	71	∈	∈	PROPN
ejpam-6311	40	72	v	v	NOUN
ejpam-6311	40	73	(	(	PUNCT
ejpam-6311	40	74	g	g	NOUN
ejpam-6311	40	75	)	)	PUNCT
ejpam-6311	40	76	,	,	PUNCT
ejpam-6311	40	77	(	(	PUNCT
ejpam-6311	40	78	u	u	NOUN
ejpam-6311	40	79	,	,	PUNCT
ejpam-6311	40	80	v	v	NOUN
ejpam-6311	40	81	)	)	PUNCT
ejpam-6311	40	82	∈	∈	PROPN
ejpam-6311	40	83	e(g	e(g	PROPN
ejpam-6311	40	84	)	)	PUNCT
ejpam-6311	40	85	⇒	⇒	PROPN
ejpam-6311	40	86	∥ju−	∥ju−	NUM
ejpam-6311	40	87	jv∥	jv∥	NOUN
ejpam-6311	40	88	≤	≤	NUM
ejpam-6311	40	89	∥u−	∥u−	PROPN
ejpam-6311	40	90	v∥.	v∥.	PROPN
ejpam-6311	40	91	definition	definition	NOUN
ejpam-6311	40	92	2	2	X
ejpam-6311	40	93	.	.	PUNCT
ejpam-6311	41	1	let	let	VERB
ejpam-6311	41	2	j	j	NOUN
ejpam-6311	41	3	:	:	PUNCT
ejpam-6311	41	4	x	x	X
ejpam-6311	41	5	→	→	PUNCT
ejpam-6311	41	6	x	x	PUNCT
ejpam-6311	41	7	be	be	AUX
ejpam-6311	41	8	a	a	DET
ejpam-6311	41	9	self	self	NOUN
ejpam-6311	41	10	-	-	PUNCT
ejpam-6311	41	11	mapping	mapping	NOUN
ejpam-6311	41	12	.	.	PUNCT
ejpam-6311	42	1	a	a	DET
ejpam-6311	42	2	point	point	NOUN
ejpam-6311	42	3	x	x	X
ejpam-6311	42	4	∈	∈	NOUN
ejpam-6311	42	5	x	x	PUNCT
ejpam-6311	42	6	is	be	AUX
ejpam-6311	42	7	called	call	VERB
ejpam-6311	42	8	a	a	DET
ejpam-6311	42	9	fixed	fix	VERB
ejpam-6311	42	10	point	point	NOUN
ejpam-6311	42	11	of	of	ADP
ejpam-6311	42	12	j	j	PROPN
ejpam-6311	42	13	if	if	SCONJ
ejpam-6311	42	14	j(x	j(x	NOUN
ejpam-6311	42	15	)	)	PUNCT
ejpam-6311	43	1	=	=	PUNCT
ejpam-6311	43	2	x.	x.	NOUN
ejpam-6311	43	3	the	the	DET
ejpam-6311	43	4	set	set	NOUN
ejpam-6311	43	5	of	of	ADP
ejpam-6311	43	6	fixed	fix	VERB
ejpam-6311	43	7	points	point	NOUN
ejpam-6311	43	8	of	of	ADP
ejpam-6311	43	9	j	j	PROPN
ejpam-6311	43	10	,	,	PUNCT
ejpam-6311	43	11	denoted	denote	VERB
ejpam-6311	43	12	fix(j	fix(j	PROPN
ejpam-6311	43	13	)	)	PUNCT
ejpam-6311	43	14	,	,	PUNCT
ejpam-6311	43	15	is	be	AUX
ejpam-6311	43	16	defined	define	VERB
ejpam-6311	43	17	as	as	ADP
ejpam-6311	43	18	{	{	PUNCT
ejpam-6311	43	19	x	x	SYM
ejpam-6311	43	20	∈	∈	NOUN
ejpam-6311	43	21	x	x	X
ejpam-6311	43	22	:	:	PUNCT
ejpam-6311	43	23	j(x	j(x	NUM
ejpam-6311	43	24	)	)	PUNCT
ejpam-6311	43	25	=	=	PUNCT
ejpam-6311	44	1	x	x	X
ejpam-6311	44	2	}	}	PUNCT
ejpam-6311	44	3	.	.	PUNCT
ejpam-6311	45	1	let	let	VERB
ejpam-6311	45	2	{	{	PUNCT
ejpam-6311	45	3	j1	j1	PROPN
ejpam-6311	45	4	,	,	PUNCT
ejpam-6311	45	5	j2	j2	PROPN
ejpam-6311	45	6	,	,	PUNCT
ejpam-6311	45	7	.	.	PUNCT
ejpam-6311	45	8	.	.	PUNCT
ejpam-6311	45	9	.	.	PUNCT
ejpam-6311	46	1	,	,	PUNCT
ejpam-6311	46	2	jn	jn	PROPN
ejpam-6311	46	3	}	}	PUNCT
ejpam-6311	46	4	be	be	AUX
ejpam-6311	46	5	a	a	DET
ejpam-6311	46	6	collection	collection	NOUN
ejpam-6311	46	7	of	of	ADP
ejpam-6311	46	8	self	self	NOUN
ejpam-6311	46	9	-	-	PUNCT
ejpam-6311	46	10	mappings	mapping	NOUN
ejpam-6311	46	11	on	on	ADP
ejpam-6311	46	12	x.	x.	NOUN
ejpam-6311	46	13	a	a	DET
ejpam-6311	46	14	point	point	NOUN
ejpam-6311	46	15	x	x	X
ejpam-6311	46	16	∈	∈	NOUN
ejpam-6311	46	17	x	x	PUNCT
ejpam-6311	46	18	is	be	AUX
ejpam-6311	46	19	called	call	VERB
ejpam-6311	46	20	a	a	DET
ejpam-6311	46	21	common	common	ADJ
ejpam-6311	46	22	fixed	fix	VERB
ejpam-6311	46	23	point	point	NOUN
ejpam-6311	46	24	of	of	ADP
ejpam-6311	46	25	the	the	DET
ejpam-6311	46	26	mappings	mapping	NOUN
ejpam-6311	46	27	in	in	ADP
ejpam-6311	46	28	this	this	DET
ejpam-6311	46	29	collection	collection	NOUN
ejpam-6311	46	30	if	if	SCONJ
ejpam-6311	46	31	it	it	PRON
ejpam-6311	46	32	satisfies	satisfy	VERB
ejpam-6311	46	33	the	the	DET
ejpam-6311	46	34	condition	condition	NOUN
ejpam-6311	46	35	:	:	PUNCT
ejpam-6311	46	36	ji(x	ji(x	NUM
ejpam-6311	46	37	)	)	PUNCT
ejpam-6311	47	1	=	=	PUNCT
ejpam-6311	47	2	x	x	X
ejpam-6311	47	3	for	for	ADP
ejpam-6311	47	4	all	all	DET
ejpam-6311	47	5	i	i	PRON
ejpam-6311	47	6	=	=	NOUN
ejpam-6311	47	7	1	1	NUM
ejpam-6311	47	8	,	,	PUNCT
ejpam-6311	47	9	2	2	NUM
ejpam-6311	47	10	,	,	PUNCT
ejpam-6311	47	11	.	.	PUNCT
ejpam-6311	47	12	.	.	PUNCT
ejpam-6311	48	1	.	.	PUNCT
ejpam-6311	49	1	,	,	PUNCT
ejpam-6311	49	2	n.	n.	NOUN
ejpam-6311	49	3	we	we	PRON
ejpam-6311	49	4	list	list	VERB
ejpam-6311	49	5	two	two	NUM
ejpam-6311	49	6	essential	essential	ADJ
ejpam-6311	49	7	facts	fact	NOUN
ejpam-6311	49	8	in	in	ADP
ejpam-6311	49	9	the	the	DET
ejpam-6311	49	10	following	follow	VERB
ejpam-6311	49	11	proposition	proposition	NOUN
ejpam-6311	49	12	.	.	PUNCT
ejpam-6311	50	1	the	the	DET
ejpam-6311	50	2	first	first	ADJ
ejpam-6311	50	3	is	be	AUX
ejpam-6311	50	4	a	a	DET
ejpam-6311	50	5	direct	direct	ADJ
ejpam-6311	50	6	consequence	consequence	NOUN
ejpam-6311	50	7	of	of	ADP
ejpam-6311	50	8	the	the	DET
ejpam-6311	50	9	definition	definition	NOUN
ejpam-6311	50	10	of	of	ADP
ejpam-6311	50	11	the	the	DET
ejpam-6311	50	12	squared	square	VERB
ejpam-6311	50	13	norm	norm	NOUN
ejpam-6311	50	14	and	and	CCONJ
ejpam-6311	50	15	the	the	DET
ejpam-6311	50	16	properties	property	NOUN
ejpam-6311	50	17	of	of	ADP
ejpam-6311	50	18	the	the	DET
ejpam-6311	50	19	inner	inner	ADJ
ejpam-6311	50	20	product	product	NOUN
ejpam-6311	50	21	.	.	PUNCT
ejpam-6311	51	1	the	the	DET
ejpam-6311	51	2	second	second	ADJ
ejpam-6311	51	3	,	,	PUNCT
ejpam-6311	51	4	which	which	PRON
ejpam-6311	51	5	is	be	AUX
ejpam-6311	51	6	frequently	frequently	ADV
ejpam-6311	51	7	used	use	VERB
ejpam-6311	51	8	in	in	ADP
ejpam-6311	51	9	the	the	DET
ejpam-6311	51	10	analysis	analysis	NOUN
ejpam-6311	51	11	of	of	ADP
ejpam-6311	51	12	convex	convex	ADJ
ejpam-6311	51	13	combinations	combination	NOUN
ejpam-6311	51	14	,	,	PUNCT
ejpam-6311	51	15	follows	follow	VERB
ejpam-6311	51	16	from	from	ADP
ejpam-6311	51	17	the	the	DET
ejpam-6311	51	18	parallelogram	parallelogram	NOUN
ejpam-6311	51	19	law	law	NOUN
ejpam-6311	51	20	and	and	CCONJ
ejpam-6311	51	21	can	can	AUX
ejpam-6311	51	22	be	be	AUX
ejpam-6311	51	23	found	find	VERB
ejpam-6311	51	24	in	in	ADP
ejpam-6311	51	25	[	[	X
ejpam-6311	51	26	17	17	NUM
ejpam-6311	51	27	]	]	PUNCT
ejpam-6311	51	28	.	.	PUNCT
ejpam-6311	52	1	proposition	proposition	NOUN
ejpam-6311	52	2	1	1	NUM
ejpam-6311	52	3	.	.	PUNCT
ejpam-6311	53	1	for	for	ADP
ejpam-6311	53	2	x	x	SYM
ejpam-6311	53	3	,	,	PUNCT
ejpam-6311	53	4	y	y	PROPN
ejpam-6311	53	5	∈	∈	PROPN
ejpam-6311	53	6	x	x	PROPN
ejpam-6311	53	7	,	,	PUNCT
ejpam-6311	53	8	∥x+	∥x+	X
ejpam-6311	53	9	y∥2	y∥2	ADJ
ejpam-6311	53	10	≤	≤	PUNCT
ejpam-6311	53	11	∥x∥2	∥x∥2	NOUN
ejpam-6311	53	12	+	+	X
ejpam-6311	53	13	2⟨y	2⟨y	ADJ
ejpam-6311	53	14	,	,	PUNCT
ejpam-6311	53	15	x+	x+	ADJ
ejpam-6311	53	16	y⟩	y⟩	NOUN
ejpam-6311	53	17	,	,	PUNCT
ejpam-6311	53	18	and	and	CCONJ
ejpam-6311	53	19	(	(	PUNCT
ejpam-6311	53	20	2	2	X
ejpam-6311	53	21	)	)	PUNCT
ejpam-6311	53	22	∥γx+	∥γx+	PROPN
ejpam-6311	54	1	(	(	PUNCT
ejpam-6311	54	2	1−	1−	NUM
ejpam-6311	54	3	γ)y∥2	γ)y∥2	NOUN
ejpam-6311	54	4	=	=	PUNCT
ejpam-6311	55	1	γ∥x∥2	γ∥x∥2	NOUN
ejpam-6311	55	2	+	+	CCONJ
ejpam-6311	55	3	(	(	PUNCT
ejpam-6311	55	4	1−	1−	NUM
ejpam-6311	55	5	γ)∥y∥2	γ)∥y∥2	PROPN
ejpam-6311	56	1	−	−	PROPN
ejpam-6311	56	2	γ(1−	γ(1−	PROPN
ejpam-6311	56	3	γ)∥x−	γ)∥x−	PROPN
ejpam-6311	56	4	y∥2	y∥2	PROPN
ejpam-6311	56	5	(	(	PUNCT
ejpam-6311	56	6	3	3	NUM
ejpam-6311	56	7	)	)	PUNCT
ejpam-6311	56	8	for	for	ADP
ejpam-6311	56	9	any	any	DET
ejpam-6311	56	10	γ	γ	PROPN
ejpam-6311	56	11	∈	∈	PROPN
ejpam-6311	56	12	r.	r.	NOUN
ejpam-6311	56	13	the	the	DET
ejpam-6311	56	14	following	follow	VERB
ejpam-6311	56	15	lemma	lemma	PROPN
ejpam-6311	56	16	provides	provide	VERB
ejpam-6311	56	17	a	a	DET
ejpam-6311	56	18	sufficient	sufficient	ADJ
ejpam-6311	56	19	condition	condition	NOUN
ejpam-6311	56	20	for	for	ADP
ejpam-6311	56	21	the	the	DET
ejpam-6311	56	22	convergence	convergence	NOUN
ejpam-6311	56	23	of	of	ADP
ejpam-6311	56	24	non	non	ADJ
ejpam-6311	56	25	-	-	ADJ
ejpam-6311	56	26	negative	negative	ADJ
ejpam-6311	56	27	real	real	ADJ
ejpam-6311	56	28	number	number	NOUN
ejpam-6311	56	29	sequences	sequence	NOUN
ejpam-6311	56	30	and	and	CCONJ
ejpam-6311	56	31	will	will	AUX
ejpam-6311	56	32	be	be	AUX
ejpam-6311	56	33	used	use	VERB
ejpam-6311	56	34	in	in	ADP
ejpam-6311	56	35	the	the	DET
ejpam-6311	56	36	next	next	ADJ
ejpam-6311	56	37	section	section	NOUN
ejpam-6311	56	38	.	.	PUNCT
ejpam-6311	57	1	lemma	lemma	PROPN
ejpam-6311	57	2	1	1	NUM
ejpam-6311	57	3	(	(	PUNCT
ejpam-6311	57	4	[	[	X
ejpam-6311	57	5	18	18	NUM
ejpam-6311	57	6	]	]	NUM
ejpam-6311	57	7	)	)	PUNCT
ejpam-6311	57	8	.	.	PUNCT
ejpam-6311	58	1	let	let	VERB
ejpam-6311	58	2	{	{	PUNCT
ejpam-6311	58	3	un	un	VERB
ejpam-6311	58	4	}	}	PUNCT
ejpam-6311	58	5	and	and	CCONJ
ejpam-6311	58	6	{	{	PUNCT
ejpam-6311	58	7	vn	vn	AUX
ejpam-6311	58	8	}	}	PUNCT
ejpam-6311	58	9	be	be	AUX
ejpam-6311	58	10	sequences	sequence	NOUN
ejpam-6311	58	11	in	in	ADP
ejpam-6311	58	12	[	[	X
ejpam-6311	58	13	0,∞	0,∞	NOUN
ejpam-6311	58	14	)	)	PUNCT
ejpam-6311	59	1	such	such	ADJ
ejpam-6311	59	2	that	that	DET
ejpam-6311	59	3	un+1	un+1	PROPN
ejpam-6311	59	4	≤	≤	NUM
ejpam-6311	59	5	un	un	PROPN
ejpam-6311	59	6	+	+	CCONJ
ejpam-6311	59	7	vn	vn	X
ejpam-6311	59	8	for	for	ADP
ejpam-6311	59	9	all	all	DET
ejpam-6311	59	10	n	n	PRON
ejpam-6311	59	11	and	and	CCONJ
ejpam-6311	59	12	∞∑	∞∑	NUM
ejpam-6311	59	13	n=1	n=1	PROPN
ejpam-6311	59	14	vn	vn	ADP
ejpam-6311	59	15	<	<	X
ejpam-6311	59	16	∞.	∞.	PROPN
ejpam-6311	59	17	then	then	ADV
ejpam-6311	59	18	,	,	PUNCT
ejpam-6311	59	19	{	{	PUNCT
ejpam-6311	59	20	un	un	PROPN
ejpam-6311	59	21	}	}	PUNCT
ejpam-6311	59	22	is	be	AUX
ejpam-6311	59	23	a	a	DET
ejpam-6311	59	24	convergent	convergent	NOUN
ejpam-6311	59	25	sequence	sequence	NOUN
ejpam-6311	59	26	in	in	ADP
ejpam-6311	59	27	[	[	X
ejpam-6311	59	28	0,∞	0,∞	NOUN
ejpam-6311	59	29	)	)	PUNCT
ejpam-6311	59	30	.	.	PUNCT
ejpam-6311	60	1	s.	s.	PROPN
ejpam-6311	60	2	panma	panma	PROPN
ejpam-6311	60	3	,	,	PUNCT
ejpam-6311	60	4	r.	r.	PROPN
ejpam-6311	60	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	60	6	,	,	PUNCT
ejpam-6311	60	7	t.	t.	NOUN
ejpam-6311	60	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	60	9	/	/	SYM
ejpam-6311	60	10	eur	eur	PROPN
ejpam-6311	60	11	.	.	PUNCT
ejpam-6311	61	1	j.	j.	PROPN
ejpam-6311	61	2	pure	pure	PROPN
ejpam-6311	61	3	appl	appl	PROPN
ejpam-6311	61	4	.	.	PROPN
ejpam-6311	61	5	math	math	PROPN
ejpam-6311	61	6	,	,	PUNCT
ejpam-6311	61	7	18	18	NUM
ejpam-6311	61	8	(	(	PUNCT
ejpam-6311	61	9	3	3	NUM
ejpam-6311	61	10	)	)	PUNCT
ejpam-6311	61	11	(	(	PUNCT
ejpam-6311	61	12	2025	2025	NUM
ejpam-6311	61	13	)	)	PUNCT
ejpam-6311	61	14	,	,	PUNCT
ejpam-6311	61	15	6311	6311	NUM
ejpam-6311	61	16	4	4	NUM
ejpam-6311	61	17	of	of	ADP
ejpam-6311	61	18	20	20	NUM
ejpam-6311	61	19	3	3	NUM
ejpam-6311	61	20	.	.	PUNCT
ejpam-6311	61	21	main	main	ADJ
ejpam-6311	61	22	results	result	NOUN
ejpam-6311	61	23	throughout	throughout	ADP
ejpam-6311	61	24	this	this	DET
ejpam-6311	61	25	section	section	NOUN
ejpam-6311	61	26	,	,	PUNCT
ejpam-6311	61	27	unless	unless	SCONJ
ejpam-6311	61	28	otherwise	otherwise	ADV
ejpam-6311	61	29	specified	specify	VERB
ejpam-6311	61	30	,	,	PUNCT
ejpam-6311	61	31	we	we	PRON
ejpam-6311	61	32	assume	assume	VERB
ejpam-6311	61	33	the	the	DET
ejpam-6311	61	34	following	follow	VERB
ejpam-6311	61	35	conditions	condition	NOUN
ejpam-6311	61	36	hold	hold	VERB
ejpam-6311	61	37	.	.	PUNCT
ejpam-6311	62	1	(	(	PUNCT
ejpam-6311	62	2	i	i	NOUN
ejpam-6311	62	3	)	)	PUNCT
ejpam-6311	62	4	e(g	e(g	PROPN
ejpam-6311	62	5	)	)	PUNCT
ejpam-6311	62	6	is	be	AUX
ejpam-6311	62	7	convex	convex	PROPN
ejpam-6311	62	8	.	.	PUNCT
ejpam-6311	63	1	(	(	PUNCT
ejpam-6311	63	2	ii	ii	NOUN
ejpam-6311	63	3	)	)	PUNCT
ejpam-6311	63	4	each	each	DET
ejpam-6311	63	5	mapping	mapping	NOUN
ejpam-6311	64	1	ji	ji	INTJ
ejpam-6311	64	2	:	:	PUNCT
ejpam-6311	64	3	x	x	X
ejpam-6311	64	4	→	→	PUNCT
ejpam-6311	64	5	x	x	X
ejpam-6311	64	6	is	be	AUX
ejpam-6311	64	7	g	g	NOUN
ejpam-6311	64	8	-	-	PUNCT
ejpam-6311	64	9	nonexpansive	nonexpansive	ADJ
ejpam-6311	64	10	for	for	ADP
ejpam-6311	64	11	all	all	DET
ejpam-6311	64	12	i	i	PRON
ejpam-6311	64	13	=	=	NOUN
ejpam-6311	64	14	1	1	NUM
ejpam-6311	64	15	,	,	PUNCT
ejpam-6311	64	16	2	2	NUM
ejpam-6311	64	17	,	,	PUNCT
ejpam-6311	64	18	.	.	PUNCT
ejpam-6311	64	19	.	.	PUNCT
ejpam-6311	65	1	.	.	PUNCT
ejpam-6311	66	1	,	,	PUNCT
ejpam-6311	66	2	n	n	X
ejpam-6311	66	3	.	.	PUNCT
ejpam-6311	67	1	(	(	PUNCT
ejpam-6311	67	2	iii	iii	X
ejpam-6311	67	3	)	)	PUNCT
ejpam-6311	67	4	f	f	NOUN
ejpam-6311	67	5	:	:	PUNCT
ejpam-6311	67	6	=	=	AUX
ejpam-6311	67	7	n⋂	n⋂	VERB
ejpam-6311	67	8	i=1	i=1	PROPN
ejpam-6311	67	9	fix(ji	fix(ji	PROPN
ejpam-6311	67	10	)	)	PUNCT
ejpam-6311	67	11	̸=	̸=	PROPN
ejpam-6311	67	12	∅.	∅.	AUX
ejpam-6311	67	13	building	build	VERB
ejpam-6311	67	14	upon	upon	SCONJ
ejpam-6311	67	15	the	the	DET
ejpam-6311	67	16	preceding	precede	VERB
ejpam-6311	67	17	discussion	discussion	NOUN
ejpam-6311	67	18	,	,	PUNCT
ejpam-6311	67	19	we	we	PRON
ejpam-6311	67	20	now	now	ADV
ejpam-6311	67	21	present	present	VERB
ejpam-6311	67	22	our	our	PRON
ejpam-6311	67	23	proposed	propose	VERB
ejpam-6311	67	24	algorithm	algorithm	NOUN
ejpam-6311	67	25	inspired	inspire	VERB
ejpam-6311	67	26	by	by	ADP
ejpam-6311	67	27	the	the	DET
ejpam-6311	67	28	previous	previous	ADJ
ejpam-6311	67	29	findings	finding	NOUN
ejpam-6311	67	30	and	and	CCONJ
ejpam-6311	67	31	based	base	VERB
ejpam-6311	67	32	on	on	ADP
ejpam-6311	67	33	the	the	DET
ejpam-6311	67	34	algorithm	algorithm	NOUN
ejpam-6311	67	35	in	in	ADP
ejpam-6311	67	36	[	[	X
ejpam-6311	67	37	15	15	NUM
ejpam-6311	67	38	]	]	X
ejpam-6311	67	39	,	,	PUNCT
ejpam-6311	67	40	which	which	PRON
ejpam-6311	67	41	combines	combine	VERB
ejpam-6311	67	42	the	the	DET
ejpam-6311	67	43	parallel	parallel	ADJ
ejpam-6311	67	44	monotone	monotone	ADJ
ejpam-6311	67	45	hybrid	hybrid	ADJ
ejpam-6311	67	46	algorithm	algorithm	NOUN
ejpam-6311	67	47	and	and	CCONJ
ejpam-6311	67	48	the	the	DET
ejpam-6311	67	49	inertial	inertial	ADJ
ejpam-6311	67	50	method	method	NOUN
ejpam-6311	67	51	.	.	PUNCT
ejpam-6311	68	1	algorithm	algorithm	NOUN
ejpam-6311	68	2	1	1	NUM
ejpam-6311	68	3	initialization	initialization	NOUN
ejpam-6311	68	4	:	:	PUNCT
ejpam-6311	68	5	choose	choose	VERB
ejpam-6311	68	6	x0	x0	PROPN
ejpam-6311	68	7	,	,	PUNCT
ejpam-6311	68	8	x1	x1	PROPN
ejpam-6311	68	9	∈	∈	PROPN
ejpam-6311	68	10	x	x	X
ejpam-6311	68	11	,	,	PUNCT
ejpam-6311	68	12	and	and	CCONJ
ejpam-6311	68	13	let	let	VERB
ejpam-6311	68	14	n	n	PRON
ejpam-6311	68	15	:	:	PUNCT
ejpam-6311	68	16	=	=	SYM
ejpam-6311	68	17	1	1	X
ejpam-6311	68	18	.	.	PUNCT
ejpam-6311	68	19	iterative	iterative	NOUN
ejpam-6311	68	20	steps	step	NOUN
ejpam-6311	68	21	:	:	PUNCT
ejpam-6311	68	22	iteratively	iteratively	ADV
ejpam-6311	68	23	construct	construct	VERB
ejpam-6311	68	24	the	the	DET
ejpam-6311	68	25	sequence	sequence	NOUN
ejpam-6311	68	26	{	{	PUNCT
ejpam-6311	68	27	xn	xn	NOUN
ejpam-6311	68	28	}	}	PUNCT
ejpam-6311	68	29	as	as	SCONJ
ejpam-6311	68	30	follows	follow	VERB
ejpam-6311	68	31	.	.	PUNCT
ejpam-6311	69	1	step	step	NOUN
ejpam-6311	69	2	1	1	NUM
ejpam-6311	69	3	.	.	PUNCT
ejpam-6311	70	1	calculate	calculate	NOUN
ejpam-6311	70	2	dn	dn	NOUN
ejpam-6311	71	1	=	=	PUNCT
ejpam-6311	72	1	xn	xn	PROPN
ejpam-6311	73	1	+	+	CCONJ
ejpam-6311	73	2	βn(xn	βn(xn	VERB
ejpam-6311	74	1	−	−	PROPN
ejpam-6311	74	2	xn−1	xn−1	PROPN
ejpam-6311	74	3	)	)	PUNCT
ejpam-6311	74	4	,	,	PUNCT
ejpam-6311	74	5	where	where	SCONJ
ejpam-6311	74	6	{	{	PUNCT
ejpam-6311	74	7	βn	βn	NOUN
ejpam-6311	74	8	}	}	PUNCT
ejpam-6311	74	9	is	be	AUX
ejpam-6311	74	10	a	a	DET
ejpam-6311	74	11	sequence	sequence	NOUN
ejpam-6311	74	12	of	of	ADP
ejpam-6311	74	13	real	real	ADJ
ejpam-6311	74	14	numbers	number	NOUN
ejpam-6311	74	15	.	.	PUNCT
ejpam-6311	75	1	step	step	NOUN
ejpam-6311	75	2	2	2	NUM
ejpam-6311	75	3	.	.	PUNCT
ejpam-6311	75	4	calculate	calculate	VERB
ejpam-6311	75	5	cin	cin	PROPN
ejpam-6311	75	6	=	=	SYM
ejpam-6311	75	7	(	(	PUNCT
ejpam-6311	76	1	1−	1−	NUM
ejpam-6311	76	2	µi	µi	PROPN
ejpam-6311	76	3	n)dn	n)dn	PROPN
ejpam-6311	77	1	+	+	CCONJ
ejpam-6311	78	1	µi	µi	PROPN
ejpam-6311	78	2	njidn	njidn	NOUN
ejpam-6311	78	3	,	,	PUNCT
ejpam-6311	78	4	bin	bin	PROPN
ejpam-6311	78	5	=	=	PUNCT
ejpam-6311	78	6	(	(	PUNCT
ejpam-6311	78	7	1−	1−	NUM
ejpam-6311	78	8	ηin)jidn	ηin)jidn	PROPN
ejpam-6311	78	9	+	+	NUM
ejpam-6311	78	10	ηinjic	ηinjic	NOUN
ejpam-6311	78	11	i	i	PROPN
ejpam-6311	78	12	n	n	CCONJ
ejpam-6311	78	13	,	,	PUNCT
ejpam-6311	78	14	and	and	CCONJ
ejpam-6311	78	15	ain	ain	NOUN
ejpam-6311	78	16	=	=	SYM
ejpam-6311	78	17	(	(	PUNCT
ejpam-6311	78	18	1−	1−	NUM
ejpam-6311	78	19	σi	σi	NUM
ejpam-6311	78	20	n)jib	n)jib	PROPN
ejpam-6311	78	21	i	i	PRON
ejpam-6311	78	22	n	n	PROPN
ejpam-6311	79	1	+	+	CCONJ
ejpam-6311	79	2	σi	σi	PRON
ejpam-6311	79	3	njic	njic	PROPN
ejpam-6311	79	4	i	i	PRON
ejpam-6311	79	5	n	n	CCONJ
ejpam-6311	79	6	,	,	PUNCT
ejpam-6311	80	1	where	where	SCONJ
ejpam-6311	80	2	{	{	PUNCT
ejpam-6311	80	3	µi	µi	PROPN
ejpam-6311	80	4	n	n	CCONJ
ejpam-6311	80	5	}	}	PUNCT
ejpam-6311	80	6	,	,	PUNCT
ejpam-6311	80	7	{	{	PUNCT
ejpam-6311	80	8	ηin	ηin	PROPN
ejpam-6311	80	9	}	}	PUNCT
ejpam-6311	80	10	and	and	CCONJ
ejpam-6311	80	11	{	{	PUNCT
ejpam-6311	80	12	σi	σi	NOUN
ejpam-6311	80	13	n	n	CCONJ
ejpam-6311	80	14	}	}	PUNCT
ejpam-6311	80	15	are	be	AUX
ejpam-6311	80	16	sequences	sequence	NOUN
ejpam-6311	80	17	in	in	ADP
ejpam-6311	80	18	[	[	X
ejpam-6311	80	19	0	0	NUM
ejpam-6311	80	20	,	,	PUNCT
ejpam-6311	80	21	1	1	NUM
ejpam-6311	80	22	]	]	PUNCT
ejpam-6311	80	23	for	for	ADP
ejpam-6311	80	24	all	all	DET
ejpam-6311	80	25	i	i	PRON
ejpam-6311	80	26	=	=	NOUN
ejpam-6311	80	27	1	1	NUM
ejpam-6311	80	28	,	,	PUNCT
ejpam-6311	80	29	2	2	NUM
ejpam-6311	80	30	,	,	PUNCT
ejpam-6311	80	31	.	.	PUNCT
ejpam-6311	80	32	.	.	PUNCT
ejpam-6311	81	1	.	.	PUNCT
ejpam-6311	82	1	,	,	PUNCT
ejpam-6311	82	2	n	n	X
ejpam-6311	82	3	.	.	PUNCT
ejpam-6311	83	1	step	step	NOUN
ejpam-6311	83	2	3	3	NUM
ejpam-6311	83	3	.	.	PUNCT
ejpam-6311	84	1	set	set	VERB
ejpam-6311	84	2	xn+1	xn+1	PROPN
ejpam-6311	84	3	=	=	PUNCT
ejpam-6311	84	4	argmax	argmax	X
ejpam-6311	84	5	{	{	PUNCT
ejpam-6311	84	6	∥∥ain	∥∥ain	PUNCT
ejpam-6311	84	7	−	−	NOUN
ejpam-6311	85	1	dn	dn	NOUN
ejpam-6311	85	2	∥∥	∥∥	PUNCT
ejpam-6311	85	3	:	:	PUNCT
ejpam-6311	86	1	i	i	NOUN
ejpam-6311	86	2	=	=	NOUN
ejpam-6311	86	3	1	1	NUM
ejpam-6311	86	4	,	,	PUNCT
ejpam-6311	86	5	2	2	NUM
ejpam-6311	86	6	,	,	PUNCT
ejpam-6311	86	7	.	.	PUNCT
ejpam-6311	86	8	.	.	PUNCT
ejpam-6311	86	9	.	.	PUNCT
ejpam-6311	87	1	,	,	PUNCT
ejpam-6311	87	2	n	n	CCONJ
ejpam-6311	87	3	}	}	PUNCT
ejpam-6311	87	4	.	.	PUNCT
ejpam-6311	88	1	continue	continue	VERB
ejpam-6311	88	2	the	the	DET
ejpam-6311	88	3	iterative	iterative	NOUN
ejpam-6311	88	4	process	process	NOUN
ejpam-6311	88	5	by	by	ADP
ejpam-6311	88	6	replacing	replace	VERB
ejpam-6311	88	7	n	n	PRON
ejpam-6311	88	8	with	with	ADP
ejpam-6311	88	9	n+	n+	ADP
ejpam-6311	88	10	1	1	NUM
ejpam-6311	88	11	and	and	CCONJ
ejpam-6311	88	12	repeating	repeat	VERB
ejpam-6311	88	13	all	all	DET
ejpam-6311	88	14	steps	step	NOUN
ejpam-6311	88	15	.	.	PUNCT
ejpam-6311	89	1	for	for	ADP
ejpam-6311	89	2	convenience	convenience	NOUN
ejpam-6311	89	3	,	,	PUNCT
ejpam-6311	89	4	we	we	PRON
ejpam-6311	89	5	provide	provide	VERB
ejpam-6311	89	6	the	the	DET
ejpam-6311	89	7	following	follow	VERB
ejpam-6311	89	8	useful	useful	ADJ
ejpam-6311	89	9	results	result	NOUN
ejpam-6311	89	10	,	,	PUNCT
ejpam-6311	89	11	adapted	adapt	VERB
ejpam-6311	89	12	to	to	ADP
ejpam-6311	89	13	our	our	PRON
ejpam-6311	89	14	current	current	ADJ
ejpam-6311	89	15	setting	setting	NOUN
ejpam-6311	89	16	from	from	ADP
ejpam-6311	89	17	[	[	X
ejpam-6311	89	18	17	17	NUM
ejpam-6311	89	19	]	]	PUNCT
ejpam-6311	89	20	and	and	CCONJ
ejpam-6311	90	1	[	[	X
ejpam-6311	90	2	19	19	NUM
ejpam-6311	90	3	]	]	PUNCT
ejpam-6311	90	4	,	,	PUNCT
ejpam-6311	90	5	respectively	respectively	ADV
ejpam-6311	90	6	.	.	PUNCT
ejpam-6311	91	1	observation	observation	NOUN
ejpam-6311	91	2	1	1	NUM
ejpam-6311	91	3	.	.	PUNCT
ejpam-6311	92	1	let	let	VERB
ejpam-6311	92	2	{	{	PUNCT
ejpam-6311	92	3	xn	xn	VERB
ejpam-6311	92	4	}	}	PUNCT
ejpam-6311	92	5	be	be	AUX
ejpam-6311	92	6	a	a	DET
ejpam-6311	92	7	sequence	sequence	NOUN
ejpam-6311	92	8	in	in	ADP
ejpam-6311	92	9	x	x	INTJ
ejpam-6311	92	10	such	such	ADJ
ejpam-6311	92	11	that	that	SCONJ
ejpam-6311	92	12	its	its	PRON
ejpam-6311	92	13	weak	weak	ADJ
ejpam-6311	92	14	sequential	sequential	ADJ
ejpam-6311	92	15	cluster	cluster	NOUN
ejpam-6311	92	16	points	point	NOUN
ejpam-6311	92	17	are	be	AUX
ejpam-6311	92	18	in	in	ADP
ejpam-6311	92	19	f.	f.	PROPN
ejpam-6311	92	20	if	if	SCONJ
ejpam-6311	92	21	{	{	PUNCT
ejpam-6311	92	22	∥xn	∥xn	PRON
ejpam-6311	92	23	−	−	NOUN
ejpam-6311	92	24	u∥	u∥	NOUN
ejpam-6311	92	25	}	}	PUNCT
ejpam-6311	92	26	is	be	AUX
ejpam-6311	92	27	convergent	convergent	ADJ
ejpam-6311	92	28	for	for	ADP
ejpam-6311	92	29	all	all	PRON
ejpam-6311	92	30	u	u	NOUN
ejpam-6311	92	31	∈	∈	PROPN
ejpam-6311	92	32	f	f	NOUN
ejpam-6311	92	33	,	,	PUNCT
ejpam-6311	92	34	then	then	ADV
ejpam-6311	92	35	{	{	PUNCT
ejpam-6311	92	36	xn	xn	X
ejpam-6311	92	37	}	}	PUNCT
ejpam-6311	92	38	is	be	AUX
ejpam-6311	92	39	weakly	weakly	ADJ
ejpam-6311	92	40	convergent	convergent	NOUN
ejpam-6311	92	41	in	in	ADP
ejpam-6311	92	42	f.	f.	PROPN
ejpam-6311	92	43	s.	s.	PROPN
ejpam-6311	92	44	panma	panma	PROPN
ejpam-6311	92	45	,	,	PUNCT
ejpam-6311	92	46	r.	r.	PROPN
ejpam-6311	92	47	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	92	48	,	,	PUNCT
ejpam-6311	92	49	t.	t.	NOUN
ejpam-6311	92	50	chaobankoh	chaobankoh	PROPN
ejpam-6311	92	51	/	/	SYM
ejpam-6311	92	52	eur	eur	PROPN
ejpam-6311	92	53	.	.	PUNCT
ejpam-6311	93	1	j.	j.	PROPN
ejpam-6311	93	2	pure	pure	PROPN
ejpam-6311	93	3	appl	appl	PROPN
ejpam-6311	93	4	.	.	PROPN
ejpam-6311	93	5	math	math	PROPN
ejpam-6311	93	6	,	,	PUNCT
ejpam-6311	93	7	18	18	NUM
ejpam-6311	93	8	(	(	PUNCT
ejpam-6311	93	9	3	3	NUM
ejpam-6311	93	10	)	)	PUNCT
ejpam-6311	93	11	(	(	PUNCT
ejpam-6311	93	12	2025	2025	NUM
ejpam-6311	93	13	)	)	PUNCT
ejpam-6311	93	14	,	,	PUNCT
ejpam-6311	93	15	6311	6311	NUM
ejpam-6311	93	16	5	5	NUM
ejpam-6311	93	17	of	of	ADP
ejpam-6311	93	18	20	20	NUM
ejpam-6311	93	19	observation	observation	NOUN
ejpam-6311	93	20	2	2	NUM
ejpam-6311	93	21	.	.	X
ejpam-6311	94	1	for	for	ADP
ejpam-6311	94	2	i	i	PRON
ejpam-6311	94	3	∈	∈	PROPN
ejpam-6311	94	4	{	{	PUNCT
ejpam-6311	94	5	1	1	NUM
ejpam-6311	94	6	,	,	PUNCT
ejpam-6311	94	7	2	2	NUM
ejpam-6311	94	8	,	,	PUNCT
ejpam-6311	94	9	3	3	NUM
ejpam-6311	94	10	,	,	PUNCT
ejpam-6311	94	11	...	...	PUNCT
ejpam-6311	94	12	,	,	PUNCT
ejpam-6311	94	13	n	n	CCONJ
ejpam-6311	94	14	}	}	PUNCT
ejpam-6311	94	15	,	,	PUNCT
ejpam-6311	94	16	suppose	suppose	VERB
ejpam-6311	94	17	that	that	SCONJ
ejpam-6311	94	18	{	{	PUNCT
ejpam-6311	94	19	un	un	PROPN
ejpam-6311	94	20	}	}	PUNCT
ejpam-6311	94	21	is	be	AUX
ejpam-6311	94	22	a	a	DET
ejpam-6311	94	23	sequence	sequence	NOUN
ejpam-6311	94	24	in	in	ADP
ejpam-6311	94	25	x	x	PUNCT
ejpam-6311	94	26	satisfying	satisfy	VERB
ejpam-6311	94	27	un	un	PROPN
ejpam-6311	94	28	⇀	⇀	PROPN
ejpam-6311	94	29	u	u	NOUN
ejpam-6311	94	30	and	and	CCONJ
ejpam-6311	94	31	(	(	PUNCT
ejpam-6311	94	32	un	un	PROPN
ejpam-6311	94	33	−	−	PROPN
ejpam-6311	94	34	jiun	jiun	PROPN
ejpam-6311	94	35	)	)	PUNCT
ejpam-6311	94	36	→	→	SYM
ejpam-6311	94	37	0	0	NUM
ejpam-6311	94	38	for	for	ADP
ejpam-6311	94	39	some	some	DET
ejpam-6311	94	40	u	u	NOUN
ejpam-6311	94	41	∈	∈	NOUN
ejpam-6311	94	42	x.	x.	NOUN
ejpam-6311	95	1	if	if	SCONJ
ejpam-6311	95	2	there	there	PRON
ejpam-6311	95	3	exists	exist	VERB
ejpam-6311	95	4	a	a	DET
ejpam-6311	95	5	subsequence	subsequence	NOUN
ejpam-6311	95	6	{	{	PUNCT
ejpam-6311	95	7	unk	unk	NOUN
ejpam-6311	95	8	}	}	PUNCT
ejpam-6311	95	9	of	of	ADP
ejpam-6311	95	10	{	{	PUNCT
ejpam-6311	95	11	un	un	PROPN
ejpam-6311	95	12	}	}	PUNCT
ejpam-6311	95	13	such	such	ADJ
ejpam-6311	95	14	that	that	SCONJ
ejpam-6311	95	15	(	(	PUNCT
ejpam-6311	95	16	unk	unk	INTJ
ejpam-6311	95	17	,	,	PUNCT
ejpam-6311	95	18	u	u	NOUN
ejpam-6311	95	19	)	)	PUNCT
ejpam-6311	95	20	∈	∈	PROPN
ejpam-6311	95	21	e(g	e(g	PROPN
ejpam-6311	95	22	)	)	PUNCT
ejpam-6311	95	23	for	for	ADP
ejpam-6311	95	24	all	all	DET
ejpam-6311	95	25	k	k	PROPN
ejpam-6311	95	26	∈	∈	PROPN
ejpam-6311	95	27	n	n	CCONJ
ejpam-6311	95	28	,	,	PUNCT
ejpam-6311	95	29	then	then	ADV
ejpam-6311	95	30	u	u	PROPN
ejpam-6311	95	31	∈	∈	PROPN
ejpam-6311	95	32	f.	f.	NOUN
ejpam-6311	95	33	we	we	PRON
ejpam-6311	95	34	now	now	ADV
ejpam-6311	95	35	let	let	VERB
ejpam-6311	95	36	{	{	PUNCT
ejpam-6311	95	37	xn	xn	VERB
ejpam-6311	95	38	}	}	PUNCT
ejpam-6311	95	39	be	be	AUX
ejpam-6311	95	40	a	a	DET
ejpam-6311	95	41	sequence	sequence	NOUN
ejpam-6311	95	42	generated	generate	VERB
ejpam-6311	95	43	by	by	ADP
ejpam-6311	95	44	algorithm	algorithm	NOUN
ejpam-6311	95	45	1	1	NUM
ejpam-6311	95	46	.	.	PUNCT
ejpam-6311	95	47	to	to	PART
ejpam-6311	95	48	facilitate	facilitate	VERB
ejpam-6311	95	49	the	the	DET
ejpam-6311	95	50	proof	proof	NOUN
ejpam-6311	95	51	of	of	ADP
ejpam-6311	95	52	our	our	PRON
ejpam-6311	95	53	main	main	ADJ
ejpam-6311	95	54	result	result	NOUN
ejpam-6311	95	55	,	,	PUNCT
ejpam-6311	95	56	we	we	PRON
ejpam-6311	95	57	proceed	proceed	VERB
ejpam-6311	95	58	by	by	ADP
ejpam-6311	95	59	stating	state	VERB
ejpam-6311	95	60	and	and	CCONJ
ejpam-6311	95	61	proving	prove	VERB
ejpam-6311	95	62	the	the	DET
ejpam-6311	95	63	following	follow	VERB
ejpam-6311	95	64	lemmas	lemmas	NOUN
ejpam-6311	95	65	.	.	PUNCT
ejpam-6311	96	1	lemma	lemma	PROPN
ejpam-6311	96	2	2	2	X
ejpam-6311	96	3	.	.	PUNCT
ejpam-6311	97	1	let	let	VERB
ejpam-6311	97	2	x∗	x∗	PROPN
ejpam-6311	97	3	∈	∈	PROPN
ejpam-6311	97	4	f.	f.	PROPN
ejpam-6311	97	5	suppose	suppose	VERB
ejpam-6311	97	6	that	that	SCONJ
ejpam-6311	97	7	(	(	PUNCT
ejpam-6311	97	8	i	i	NOUN
ejpam-6311	97	9	)	)	PUNCT
ejpam-6311	97	10	∞∑	∞∑	NUM
ejpam-6311	97	11	n=1	n=1	PROPN
ejpam-6311	97	12	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	97	13	−	−	PROPN
ejpam-6311	97	14	xn−1∥	xn−1∥	PROPN
ejpam-6311	97	15	<	<	X
ejpam-6311	97	16	∞	∞	PROPN
ejpam-6311	97	17	;	;	PUNCT
ejpam-6311	97	18	(	(	PUNCT
ejpam-6311	97	19	ii	ii	NOUN
ejpam-6311	97	20	)	)	PUNCT
ejpam-6311	97	21	{	{	PUNCT
ejpam-6311	97	22	(	(	PUNCT
ejpam-6311	97	23	dn	dn	INTJ
ejpam-6311	97	24	,	,	PUNCT
ejpam-6311	97	25	x∗	x∗	PROPN
ejpam-6311	97	26	)	)	PUNCT
ejpam-6311	97	27	,	,	PUNCT
ejpam-6311	97	28	(	(	PUNCT
ejpam-6311	97	29	x∗	x∗	PROPN
ejpam-6311	97	30	,	,	PUNCT
ejpam-6311	97	31	dn	dn	NOUN
ejpam-6311	97	32	)	)	PUNCT
ejpam-6311	97	33	}	}	PUNCT
ejpam-6311	97	34	∩	∩	ADJ
ejpam-6311	97	35	e(g	e(g	NOUN
ejpam-6311	97	36	)	)	PUNCT
ejpam-6311	97	37	̸=	̸=	PROPN
ejpam-6311	97	38	∅.	∅.	VERB
ejpam-6311	97	39	then	then	ADV
ejpam-6311	97	40	,	,	PUNCT
ejpam-6311	97	41	{	{	PUNCT
ejpam-6311	97	42	∥xn	∥xn	NUM
ejpam-6311	97	43	−	−	PROPN
ejpam-6311	97	44	x∗∥	x∗∥	PROPN
ejpam-6311	97	45	}	}	PUNCT
ejpam-6311	97	46	is	be	AUX
ejpam-6311	97	47	convergent	convergent	ADJ
ejpam-6311	97	48	and	and	CCONJ
ejpam-6311	97	49	{	{	PUNCT
ejpam-6311	97	50	xn	xn	X
ejpam-6311	97	51	}	}	PUNCT
ejpam-6311	97	52	is	be	AUX
ejpam-6311	97	53	bounded	bound	VERB
ejpam-6311	97	54	.	.	PUNCT
ejpam-6311	98	1	proof	proof	NOUN
ejpam-6311	98	2	.	.	PUNCT
ejpam-6311	99	1	from	from	ADP
ejpam-6311	99	2	(	(	PUNCT
ejpam-6311	99	3	ii	ii	NOUN
ejpam-6311	99	4	)	)	PUNCT
ejpam-6311	99	5	,	,	PUNCT
ejpam-6311	99	6	we	we	PRON
ejpam-6311	99	7	may	may	AUX
ejpam-6311	99	8	assume	assume	VERB
ejpam-6311	99	9	that	that	SCONJ
ejpam-6311	99	10	(	(	PUNCT
ejpam-6311	99	11	dn	dn	INTJ
ejpam-6311	99	12	,	,	PUNCT
ejpam-6311	99	13	x	x	NOUN
ejpam-6311	99	14	∗	∗	NOUN
ejpam-6311	99	15	)	)	PUNCT
ejpam-6311	99	16	∈	∈	PROPN
ejpam-6311	99	17	e(g	e(g	PROPN
ejpam-6311	99	18	)	)	PUNCT
ejpam-6311	99	19	.	.	PUNCT
ejpam-6311	100	1	the	the	DET
ejpam-6311	100	2	edge	edge	NOUN
ejpam-6311	100	3	-	-	PUNCT
ejpam-6311	100	4	preserving	preserve	VERB
ejpam-6311	100	5	property	property	NOUN
ejpam-6311	100	6	of	of	ADP
ejpam-6311	100	7	ji	ji	PROPN
ejpam-6311	100	8	implies	imply	VERB
ejpam-6311	100	9	that	that	SCONJ
ejpam-6311	100	10	(	(	PUNCT
ejpam-6311	100	11	jidn	jidn	PROPN
ejpam-6311	100	12	,	,	PUNCT
ejpam-6311	100	13	x	x	NOUN
ejpam-6311	100	14	∗	∗	NOUN
ejpam-6311	100	15	)	)	PUNCT
ejpam-6311	100	16	=	=	SYM
ejpam-6311	100	17	(	(	PUNCT
ejpam-6311	100	18	jidn	jidn	PROPN
ejpam-6311	100	19	,	,	PUNCT
ejpam-6311	100	20	jix	jix	PROPN
ejpam-6311	100	21	∗	∗	NOUN
ejpam-6311	100	22	)	)	PUNCT
ejpam-6311	100	23	∈	∈	PROPN
ejpam-6311	100	24	e(g	e(g	PROPN
ejpam-6311	100	25	)	)	PUNCT
ejpam-6311	100	26	for	for	ADP
ejpam-6311	100	27	all	all	DET
ejpam-6311	100	28	i	i	PRON
ejpam-6311	100	29	=	=	NOUN
ejpam-6311	100	30	1	1	NUM
ejpam-6311	100	31	,	,	PUNCT
ejpam-6311	100	32	2	2	NUM
ejpam-6311	100	33	,	,	PUNCT
ejpam-6311	100	34	.	.	PUNCT
ejpam-6311	100	35	.	.	PUNCT
ejpam-6311	101	1	.	.	PUNCT
ejpam-6311	102	1	,	,	PUNCT
ejpam-6311	102	2	n.	n.	PROPN
ejpam-6311	102	3	then	then	ADV
ejpam-6311	102	4	,	,	PUNCT
ejpam-6311	102	5	it	it	PRON
ejpam-6311	102	6	follows	follow	VERB
ejpam-6311	102	7	from	from	ADP
ejpam-6311	102	8	the	the	DET
ejpam-6311	102	9	convexity	convexity	NOUN
ejpam-6311	102	10	of	of	ADP
ejpam-6311	102	11	e(g	e(g	NOUN
ejpam-6311	102	12	)	)	PUNCT
ejpam-6311	102	13	that	that	SCONJ
ejpam-6311	102	14	(	(	PUNCT
ejpam-6311	102	15	cin	cin	PROPN
ejpam-6311	102	16	,	,	PUNCT
ejpam-6311	102	17	x	x	NOUN
ejpam-6311	102	18	∗	∗	NOUN
ejpam-6311	102	19	)	)	PUNCT
ejpam-6311	102	20	=	=	SYM
ejpam-6311	102	21	(	(	PUNCT
ejpam-6311	102	22	(	(	PUNCT
ejpam-6311	102	23	1−	1−	NUM
ejpam-6311	102	24	µi	µi	PROPN
ejpam-6311	102	25	n)dn	n)dn	PROPN
ejpam-6311	102	26	+	+	CCONJ
ejpam-6311	102	27	µi	µi	PROPN
ejpam-6311	102	28	njidn	njidn	NOUN
ejpam-6311	102	29	,	,	PUNCT
ejpam-6311	102	30	x	x	NOUN
ejpam-6311	102	31	∗	∗	NOUN
ejpam-6311	102	32	)	)	PUNCT
ejpam-6311	102	33	∈	∈	PROPN
ejpam-6311	102	34	e(g	e(g	PROPN
ejpam-6311	102	35	)	)	PUNCT
ejpam-6311	102	36	.	.	PUNCT
ejpam-6311	103	1	also	also	ADV
ejpam-6311	103	2	,	,	PUNCT
ejpam-6311	103	3	we	we	PRON
ejpam-6311	103	4	obtain	obtain	VERB
ejpam-6311	103	5	that	that	PRON
ejpam-6311	103	6	(	(	PUNCT
ejpam-6311	103	7	jic	jic	PROPN
ejpam-6311	103	8	i	i	PROPN
ejpam-6311	103	9	n	n	CCONJ
ejpam-6311	103	10	,	,	PUNCT
ejpam-6311	103	11	x	x	NOUN
ejpam-6311	103	12	∗	∗	NOUN
ejpam-6311	103	13	)	)	PUNCT
ejpam-6311	103	14	,	,	PUNCT
ejpam-6311	103	15	(	(	PUNCT
ejpam-6311	103	16	bin	bin	NOUN
ejpam-6311	103	17	,	,	PUNCT
ejpam-6311	103	18	x	x	NOUN
ejpam-6311	103	19	∗	∗	NOUN
ejpam-6311	103	20	)	)	PUNCT
ejpam-6311	103	21	,	,	PUNCT
ejpam-6311	103	22	(	(	PUNCT
ejpam-6311	103	23	jib	jib	NOUN
ejpam-6311	103	24	i	i	PRON
ejpam-6311	103	25	n	n	CCONJ
ejpam-6311	103	26	,	,	PUNCT
ejpam-6311	103	27	x	x	NOUN
ejpam-6311	103	28	∗	∗	NOUN
ejpam-6311	103	29	)	)	PUNCT
ejpam-6311	103	30	,	,	PUNCT
ejpam-6311	103	31	and	and	CCONJ
ejpam-6311	103	32	(	(	PUNCT
ejpam-6311	103	33	ain	ain	PROPN
ejpam-6311	103	34	,	,	PUNCT
ejpam-6311	103	35	x	x	NOUN
ejpam-6311	103	36	∗	∗	NOUN
ejpam-6311	103	37	)	)	PUNCT
ejpam-6311	103	38	∈	∈	PROPN
ejpam-6311	103	39	e(g	e(g	PROPN
ejpam-6311	103	40	)	)	PUNCT
ejpam-6311	103	41	for	for	ADP
ejpam-6311	103	42	all	all	DET
ejpam-6311	103	43	i	i	PRON
ejpam-6311	103	44	=	=	NOUN
ejpam-6311	103	45	1	1	NUM
ejpam-6311	103	46	,	,	PUNCT
ejpam-6311	103	47	2	2	NUM
ejpam-6311	103	48	,	,	PUNCT
ejpam-6311	103	49	.	.	PUNCT
ejpam-6311	103	50	.	.	PUNCT
ejpam-6311	104	1	.	.	PUNCT
ejpam-6311	105	1	,	,	PUNCT
ejpam-6311	105	2	n	n	X
ejpam-6311	105	3	.	.	PUNCT
ejpam-6311	106	1	now	now	ADV
ejpam-6311	106	2	,	,	PUNCT
ejpam-6311	106	3	for	for	ADP
ejpam-6311	106	4	any	any	DET
ejpam-6311	106	5	i	i	NOUN
ejpam-6311	106	6	=	=	NOUN
ejpam-6311	106	7	1	1	NUM
ejpam-6311	106	8	,	,	PUNCT
ejpam-6311	106	9	2	2	NUM
ejpam-6311	106	10	,	,	PUNCT
ejpam-6311	106	11	.	.	PUNCT
ejpam-6311	106	12	.	.	PUNCT
ejpam-6311	106	13	.	.	PUNCT
ejpam-6311	107	1	,	,	PUNCT
ejpam-6311	107	2	n	n	CCONJ
ejpam-6311	107	3	,	,	PUNCT
ejpam-6311	107	4	from	from	ADP
ejpam-6311	107	5	proposition	proposition	NOUN
ejpam-6311	107	6	1	1	NUM
ejpam-6311	107	7	,	,	PUNCT
ejpam-6311	107	8	we	we	PRON
ejpam-6311	107	9	have	have	VERB
ejpam-6311	107	10	the	the	DET
ejpam-6311	107	11	inequalities	inequality	NOUN
ejpam-6311	107	12	:	:	PUNCT
ejpam-6311	107	13	∥jicin	∥jicin	PROPN
ejpam-6311	108	1	−	−	PROPN
ejpam-6311	108	2	x∗∥2	x∗∥2	NOUN
ejpam-6311	108	3	≤	≤	NOUN
ejpam-6311	108	4	∥cin	∥cin	PROPN
ejpam-6311	109	1	−	−	PROPN
ejpam-6311	109	2	x∗∥2	x∗∥2	NOUN
ejpam-6311	110	1	=	=	PUNCT
ejpam-6311	111	1	∥(1−	∥(1−	X
ejpam-6311	111	2	µi	µi	PROPN
ejpam-6311	111	3	n)dn	n)dn	PROPN
ejpam-6311	111	4	+	+	PROPN
ejpam-6311	111	5	µi	µi	PROPN
ejpam-6311	111	6	njidn	njidn	NOUN
ejpam-6311	111	7	−	−	PROPN
ejpam-6311	111	8	x∗∥2	x∗∥2	NOUN
ejpam-6311	111	9	=	=	PUNCT
ejpam-6311	112	1	∥(1−	∥(1−	PROPN
ejpam-6311	112	2	µi	µi	INTJ
ejpam-6311	112	3	n)(dn	n)(dn	NOUN
ejpam-6311	112	4	−	−	NUM
ejpam-6311	112	5	x∗	x∗	PROPN
ejpam-6311	112	6	)	)	PUNCT
ejpam-6311	113	1	+	+	CCONJ
ejpam-6311	113	2	µi	µi	ADP
ejpam-6311	113	3	n(jidn	n(jidn	NOUN
ejpam-6311	113	4	−	−	PROPN
ejpam-6311	113	5	x∗)∥2	x∗)∥2	PROPN
ejpam-6311	114	1	=	=	PRON
ejpam-6311	114	2	(	(	PUNCT
ejpam-6311	114	3	1−	1−	NUM
ejpam-6311	114	4	µi	µi	PROPN
ejpam-6311	114	5	n)∥dn	n)∥dn	PROPN
ejpam-6311	114	6	−	−	PROPN
ejpam-6311	114	7	x∗∥2	x∗∥2	NOUN
ejpam-6311	114	8	+	+	CCONJ
ejpam-6311	115	1	µi	µi	PROPN
ejpam-6311	115	2	n∥jidn	n∥jidn	PROPN
ejpam-6311	115	3	−	−	PROPN
ejpam-6311	115	4	x∗∥2	x∗∥2	NOUN
ejpam-6311	115	5	−	−	PROPN
ejpam-6311	115	6	(	(	PUNCT
ejpam-6311	115	7	1−	1−	NUM
ejpam-6311	115	8	µi	µi	PROPN
ejpam-6311	115	9	n)µ	n)µ	X
ejpam-6311	116	1	i	i	PRON
ejpam-6311	116	2	n∥dn	n∥dn	PROPN
ejpam-6311	116	3	−	−	PROPN
ejpam-6311	116	4	jidn∥2	jidn∥2	PROPN
ejpam-6311	116	5	≤	≤	NUM
ejpam-6311	116	6	(	(	PUNCT
ejpam-6311	116	7	1−	1−	NUM
ejpam-6311	116	8	µi	µi	PROPN
ejpam-6311	116	9	n)∥dn	n)∥dn	PROPN
ejpam-6311	116	10	−	−	PROPN
ejpam-6311	116	11	x∗∥2	x∗∥2	NOUN
ejpam-6311	117	1	+	+	CCONJ
ejpam-6311	117	2	µi	µi	PROPN
ejpam-6311	117	3	n∥dn	n∥dn	PROPN
ejpam-6311	117	4	−	−	PROPN
ejpam-6311	117	5	x∗∥2	x∗∥2	NOUN
ejpam-6311	117	6	−	−	PROPN
ejpam-6311	118	1	(	(	PUNCT
ejpam-6311	118	2	1−	1−	NUM
ejpam-6311	118	3	µi	µi	PROPN
ejpam-6311	118	4	n)µ	n)µ	X
ejpam-6311	118	5	i	i	PRON
ejpam-6311	118	6	n∥dn	n∥dn	PROPN
ejpam-6311	119	1	−	−	PROPN
ejpam-6311	120	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	121	1	=	=	SYM
ejpam-6311	122	1	∥dn	∥dn	CCONJ
ejpam-6311	123	1	−	−	PROPN
ejpam-6311	123	2	x∗∥2	x∗∥2	NOUN
ejpam-6311	123	3	−	−	PROPN
ejpam-6311	124	1	(	(	PUNCT
ejpam-6311	124	2	1−	1−	NUM
ejpam-6311	124	3	µi	µi	PROPN
ejpam-6311	124	4	n)µ	n)µ	X
ejpam-6311	124	5	i	i	PRON
ejpam-6311	124	6	n∥dn	n∥dn	PROPN
ejpam-6311	124	7	−	−	PROPN
ejpam-6311	124	8	jidn∥2	jidn∥2	PROPN
ejpam-6311	124	9	,	,	PUNCT
ejpam-6311	124	10	and	and	CCONJ
ejpam-6311	124	11	∥jibin	∥jibin	PROPN
ejpam-6311	124	12	−	−	PROPN
ejpam-6311	124	13	x∗∥2	x∗∥2	PROPN
ejpam-6311	124	14	≤	≤	PROPN
ejpam-6311	125	1	∥bin	∥bin	PROPN
ejpam-6311	125	2	−	−	PROPN
ejpam-6311	125	3	x∗∥2	x∗∥2	PROPN
ejpam-6311	125	4	≤	≤	PROPN
ejpam-6311	126	1	(	(	PUNCT
ejpam-6311	126	2	1−	1−	NUM
ejpam-6311	126	3	ηin)∥jidn	ηin)∥jidn	NOUN
ejpam-6311	126	4	−	−	PROPN
ejpam-6311	126	5	x∗∥2	x∗∥2	NOUN
ejpam-6311	127	1	+	+	CCONJ
ejpam-6311	127	2	ηin∥jicin	ηin∥jicin	PROPN
ejpam-6311	127	3	−	−	PROPN
ejpam-6311	127	4	x∗∥2	x∗∥2	NOUN
ejpam-6311	127	5	≤	≤	PROPN
ejpam-6311	127	6	(	(	PUNCT
ejpam-6311	127	7	1−	1−	NUM
ejpam-6311	127	8	ηin)∥dn	ηin)∥dn	NOUN
ejpam-6311	127	9	−	−	PROPN
ejpam-6311	128	1	x∗∥2	x∗∥2	NOUN
ejpam-6311	129	1	+	+	CCONJ
ejpam-6311	129	2	ηin∥dn	ηin∥dn	PROPN
ejpam-6311	129	3	−	−	PROPN
ejpam-6311	129	4	x∗∥2	x∗∥2	NOUN
ejpam-6311	129	5	−	−	PROPN
ejpam-6311	130	1	ηin(1−	ηin(1−	PROPN
ejpam-6311	130	2	µi	µi	PROPN
ejpam-6311	130	3	n)µ	n)µ	PUNCT
ejpam-6311	131	1	i	i	PROPN
ejpam-6311	131	2	n∥dn	n∥dn	PROPN
ejpam-6311	131	3	−	−	PROPN
ejpam-6311	132	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	132	2	=	=	SYM
ejpam-6311	132	3	∥dn	∥dn	CCONJ
ejpam-6311	132	4	−	−	PROPN
ejpam-6311	132	5	x∗∥2	x∗∥2	NOUN
ejpam-6311	132	6	−	−	PROPN
ejpam-6311	132	7	ηin(1−	ηin(1−	PROPN
ejpam-6311	132	8	µi	µi	PROPN
ejpam-6311	132	9	n)µ	n)µ	PUNCT
ejpam-6311	133	1	i	i	PROPN
ejpam-6311	133	2	n∥dn	n∥dn	PROPN
ejpam-6311	133	3	−	−	PROPN
ejpam-6311	133	4	jidn∥2	jidn∥2	PROPN
ejpam-6311	133	5	.	.	PUNCT
ejpam-6311	134	1	(	(	PUNCT
ejpam-6311	134	2	4	4	X
ejpam-6311	134	3	)	)	PUNCT
ejpam-6311	134	4	consequently	consequently	ADV
ejpam-6311	134	5	,	,	PUNCT
ejpam-6311	134	6	we	we	PRON
ejpam-6311	134	7	have	have	VERB
ejpam-6311	134	8	the	the	DET
ejpam-6311	134	9	following	following	NOUN
ejpam-6311	134	10	.	.	PUNCT
ejpam-6311	135	1	∥ain	∥ain	VERB
ejpam-6311	135	2	−	−	PROPN
ejpam-6311	135	3	x∗∥2	x∗∥2	NOUN
ejpam-6311	135	4	≤	≤	PROPN
ejpam-6311	135	5	(	(	PUNCT
ejpam-6311	135	6	1−	1−	NUM
ejpam-6311	135	7	σi	σi	NOUN
ejpam-6311	135	8	n)∥jibin	n)∥jibin	NOUN
ejpam-6311	135	9	−	−	PROPN
ejpam-6311	135	10	x∗∥2	x∗∥2	NOUN
ejpam-6311	136	1	+	+	CCONJ
ejpam-6311	137	1	σi	σi	X
ejpam-6311	137	2	n∥jicin	n∥jicin	PROPN
ejpam-6311	137	3	−	−	PROPN
ejpam-6311	137	4	x∗∥2	x∗∥2	PROPN
ejpam-6311	137	5	≤	≤	PROPN
ejpam-6311	138	1	(	(	PUNCT
ejpam-6311	138	2	1−	1−	NUM
ejpam-6311	138	3	σi	σi	NOUN
ejpam-6311	138	4	n)∥dn	n)∥dn	PROPN
ejpam-6311	138	5	−	−	PROPN
ejpam-6311	139	1	x∗∥2	x∗∥2	NOUN
ejpam-6311	140	1	−	−	PROPN
ejpam-6311	141	1	(	(	PUNCT
ejpam-6311	141	2	1−	1−	NUM
ejpam-6311	141	3	σi	σi	NOUN
ejpam-6311	141	4	n)η	n)η	ADV
ejpam-6311	141	5	i	i	PRON
ejpam-6311	141	6	n(1−	n(1−	PROPN
ejpam-6311	141	7	µi	µi	INTJ
ejpam-6311	141	8	n)µ	n)µ	X
ejpam-6311	141	9	i	i	PRON
ejpam-6311	141	10	n∥dn	n∥dn	PROPN
ejpam-6311	141	11	−	−	PROPN
ejpam-6311	142	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	143	1	+	+	CCONJ
ejpam-6311	143	2	σi	σi	PROPN
ejpam-6311	143	3	n∥dn	n∥dn	PROPN
ejpam-6311	143	4	−	−	PROPN
ejpam-6311	143	5	x∗∥2	x∗∥2	PROPN
ejpam-6311	143	6	−	−	PROPN
ejpam-6311	144	1	σi	σi	ADP
ejpam-6311	144	2	n(1−	n(1−	PROPN
ejpam-6311	144	3	µi	µi	INTJ
ejpam-6311	144	4	n)µ	n)µ	PUNCT
ejpam-6311	145	1	i	i	PRON
ejpam-6311	145	2	n∥dn	n∥dn	PROPN
ejpam-6311	146	1	−	−	PROPN
ejpam-6311	146	2	jidn∥2	jidn∥2	PROPN
ejpam-6311	146	3	s.	s.	PROPN
ejpam-6311	146	4	panma	panma	PROPN
ejpam-6311	146	5	,	,	PUNCT
ejpam-6311	146	6	r.	r.	PROPN
ejpam-6311	146	7	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	146	8	,	,	PUNCT
ejpam-6311	146	9	t.	t.	NOUN
ejpam-6311	146	10	chaobankoh	chaobankoh	PROPN
ejpam-6311	146	11	/	/	SYM
ejpam-6311	146	12	eur	eur	PROPN
ejpam-6311	146	13	.	.	PUNCT
ejpam-6311	147	1	j.	j.	PROPN
ejpam-6311	147	2	pure	pure	PROPN
ejpam-6311	147	3	appl	appl	PROPN
ejpam-6311	147	4	.	.	PROPN
ejpam-6311	147	5	math	math	PROPN
ejpam-6311	147	6	,	,	PUNCT
ejpam-6311	147	7	18	18	NUM
ejpam-6311	147	8	(	(	PUNCT
ejpam-6311	147	9	3	3	NUM
ejpam-6311	147	10	)	)	PUNCT
ejpam-6311	147	11	(	(	PUNCT
ejpam-6311	147	12	2025	2025	NUM
ejpam-6311	147	13	)	)	PUNCT
ejpam-6311	147	14	,	,	PUNCT
ejpam-6311	147	15	6311	6311	NUM
ejpam-6311	147	16	6	6	NUM
ejpam-6311	147	17	of	of	ADP
ejpam-6311	147	18	20	20	NUM
ejpam-6311	147	19	=	=	SYM
ejpam-6311	147	20	∥dn	∥dn	CCONJ
ejpam-6311	147	21	−	−	PROPN
ejpam-6311	147	22	x∗∥2	x∗∥2	NOUN
ejpam-6311	147	23	−	−	PROPN
ejpam-6311	148	1	(	(	PUNCT
ejpam-6311	148	2	1−	1−	NUM
ejpam-6311	148	3	σi	σi	NOUN
ejpam-6311	148	4	n)η	n)η	ADV
ejpam-6311	148	5	i	i	PRON
ejpam-6311	148	6	n(1−	n(1−	PROPN
ejpam-6311	148	7	µi	µi	INTJ
ejpam-6311	148	8	n)µ	n)µ	X
ejpam-6311	148	9	i	i	PRON
ejpam-6311	148	10	n∥dn	n∥dn	PROPN
ejpam-6311	148	11	−	−	PROPN
ejpam-6311	149	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	150	1	−	−	PROPN
ejpam-6311	150	2	σi	σi	INTJ
ejpam-6311	150	3	n(1−	n(1−	PROPN
ejpam-6311	151	1	µi	µi	INTJ
ejpam-6311	151	2	n)µ	n)µ	PUNCT
ejpam-6311	151	3	i	i	PRON
ejpam-6311	151	4	n∥dn	n∥dn	PROPN
ejpam-6311	151	5	−	−	PROPN
ejpam-6311	151	6	jidn∥2	jidn∥2	PROPN
ejpam-6311	151	7	.	.	PUNCT
ejpam-6311	152	1	(	(	PUNCT
ejpam-6311	152	2	5	5	X
ejpam-6311	152	3	)	)	PUNCT
ejpam-6311	152	4	this	this	PRON
ejpam-6311	152	5	implies	imply	VERB
ejpam-6311	152	6	that	that	PRON
ejpam-6311	152	7	∥ain	∥ain	VERB
ejpam-6311	152	8	−	−	PROPN
ejpam-6311	152	9	x∗∥	x∗∥	PROPN
ejpam-6311	152	10	≤	≤	PROPN
ejpam-6311	152	11	∥dn	∥dn	CCONJ
ejpam-6311	153	1	−	−	PROPN
ejpam-6311	153	2	x∗∥	x∗∥	PROPN
ejpam-6311	153	3	=	=	SYM
ejpam-6311	153	4	∥xn	∥xn	PROPN
ejpam-6311	154	1	+	+	X
ejpam-6311	154	2	βn(xn	βn(xn	PUNCT
ejpam-6311	155	1	−	−	PROPN
ejpam-6311	155	2	xn−1)−	xn−1)−	PROPN
ejpam-6311	155	3	x∗∥	x∗∥	PROPN
ejpam-6311	155	4	≤	≤	PROPN
ejpam-6311	155	5	∥xn	∥xn	PROPN
ejpam-6311	155	6	−	−	PROPN
ejpam-6311	155	7	x∗∥+	x∗∥+	PROPN
ejpam-6311	155	8	|βn|∥xn	|βn|∥xn	NOUN
ejpam-6311	155	9	−	−	PROPN
ejpam-6311	155	10	xn−1∥.	xn−1∥.	PROPN
ejpam-6311	156	1	finally	finally	ADV
ejpam-6311	156	2	,	,	PUNCT
ejpam-6311	156	3	we	we	PRON
ejpam-6311	156	4	obtain	obtain	VERB
ejpam-6311	156	5	that	that	PRON
ejpam-6311	156	6	∥xn+1	∥xn+1	NOUN
ejpam-6311	156	7	−	−	PROPN
ejpam-6311	156	8	x∗∥	x∗∥	PROPN
ejpam-6311	156	9	≤	≤	PROPN
ejpam-6311	156	10	∥xn	∥xn	PROPN
ejpam-6311	156	11	−	−	PROPN
ejpam-6311	156	12	x∗∥+	x∗∥+	PROPN
ejpam-6311	156	13	|βn|∥xn	|βn|∥xn	NOUN
ejpam-6311	156	14	−	−	PROPN
ejpam-6311	157	1	xn−1∥.	xn−1∥.	PROPN
ejpam-6311	157	2	by	by	ADP
ejpam-6311	157	3	(	(	PUNCT
ejpam-6311	157	4	i	i	NOUN
ejpam-6311	157	5	)	)	PUNCT
ejpam-6311	157	6	and	and	CCONJ
ejpam-6311	157	7	lemma	lemma	PROPN
ejpam-6311	157	8	1	1	NUM
ejpam-6311	157	9	,	,	PUNCT
ejpam-6311	157	10	the	the	DET
ejpam-6311	157	11	sequence	sequence	NOUN
ejpam-6311	157	12	{	{	PUNCT
ejpam-6311	157	13	∥xn	∥xn	NUM
ejpam-6311	157	14	−	−	PROPN
ejpam-6311	157	15	x∗∥	x∗∥	PROPN
ejpam-6311	157	16	}	}	PUNCT
ejpam-6311	157	17	is	be	AUX
ejpam-6311	157	18	convergent	convergent	ADJ
ejpam-6311	157	19	and	and	CCONJ
ejpam-6311	157	20	thus	thus	ADV
ejpam-6311	157	21	{	{	PUNCT
ejpam-6311	157	22	xn	xn	X
ejpam-6311	157	23	}	}	PUNCT
ejpam-6311	157	24	is	be	AUX
ejpam-6311	157	25	bounded	bound	VERB
ejpam-6311	157	26	.	.	PUNCT
ejpam-6311	158	1	lemma	lemma	PROPN
ejpam-6311	158	2	3	3	X
ejpam-6311	158	3	.	.	PROPN
ejpam-6311	158	4	assume	assume	VERB
ejpam-6311	158	5	that	that	SCONJ
ejpam-6311	158	6	for	for	ADP
ejpam-6311	158	7	all	all	DET
ejpam-6311	158	8	i	i	PRON
ejpam-6311	158	9	=	=	NOUN
ejpam-6311	158	10	1	1	NUM
ejpam-6311	158	11	,	,	PUNCT
ejpam-6311	158	12	2	2	NUM
ejpam-6311	158	13	,	,	PUNCT
ejpam-6311	158	14	.	.	PUNCT
ejpam-6311	158	15	.	.	PUNCT
ejpam-6311	159	1	.	.	PUNCT
ejpam-6311	160	1	,	,	PUNCT
ejpam-6311	160	2	n	n	X
ejpam-6311	160	3	,	,	PUNCT
ejpam-6311	160	4	the	the	DET
ejpam-6311	160	5	following	follow	VERB
ejpam-6311	160	6	conditions	condition	NOUN
ejpam-6311	160	7	are	be	AUX
ejpam-6311	160	8	met	meet	VERB
ejpam-6311	160	9	:	:	PUNCT
ejpam-6311	160	10	(	(	PUNCT
ejpam-6311	160	11	i	i	NOUN
ejpam-6311	160	12	)	)	PUNCT
ejpam-6311	160	13	∞∑	∞∑	NUM
ejpam-6311	160	14	n=1	n=1	PROPN
ejpam-6311	160	15	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	160	16	−	−	PROPN
ejpam-6311	160	17	xn−1∥	xn−1∥	PROPN
ejpam-6311	160	18	<	<	X
ejpam-6311	160	19	∞	∞	PROPN
ejpam-6311	160	20	;	;	PUNCT
ejpam-6311	160	21	(	(	PUNCT
ejpam-6311	160	22	ii	ii	NOUN
ejpam-6311	160	23	)	)	PUNCT
ejpam-6311	160	24	(	(	PUNCT
ejpam-6311	160	25	dn	dn	INTJ
ejpam-6311	160	26	,	,	PUNCT
ejpam-6311	160	27	x	x	NOUN
ejpam-6311	160	28	∗	∗	NOUN
ejpam-6311	160	29	)	)	PUNCT
ejpam-6311	160	30	,	,	PUNCT
ejpam-6311	160	31	(	(	PUNCT
ejpam-6311	160	32	x∗	x∗	PROPN
ejpam-6311	160	33	,	,	PUNCT
ejpam-6311	160	34	dn	dn	NOUN
ejpam-6311	160	35	)	)	PUNCT
ejpam-6311	160	36	∈	∈	PROPN
ejpam-6311	160	37	e(g	e(g	PROPN
ejpam-6311	160	38	)	)	PUNCT
ejpam-6311	160	39	for	for	ADP
ejpam-6311	160	40	all	all	DET
ejpam-6311	160	41	x∗	x∗	PROPN
ejpam-6311	160	42	∈	∈	PROPN
ejpam-6311	161	1	f	f	X
ejpam-6311	161	2	;	;	PUNCT
ejpam-6311	161	3	(	(	PUNCT
ejpam-6311	161	4	iii	iii	NOUN
ejpam-6311	161	5	)	)	PUNCT
ejpam-6311	161	6	0	0	PUNCT
ejpam-6311	161	7	<	<	X
ejpam-6311	161	8	lim	lim	PROPN
ejpam-6311	161	9	inf	inf	PROPN
ejpam-6311	161	10	n→∞	n→∞	X
ejpam-6311	161	11	µi	µi	PROPN
ejpam-6311	161	12	n	n	CCONJ
ejpam-6311	161	13	≤	≤	NOUN
ejpam-6311	161	14	lim	lim	PROPN
ejpam-6311	161	15	sup	sup	VERB
ejpam-6311	161	16	n→∞	n→∞	PRON
ejpam-6311	162	1	µi	µi	ADP
ejpam-6311	162	2	n	n	X
ejpam-6311	162	3	<	<	X
ejpam-6311	162	4	1	1	NUM
ejpam-6311	162	5	;	;	PUNCT
ejpam-6311	162	6	(	(	PUNCT
ejpam-6311	162	7	iv	iv	X
ejpam-6311	162	8	)	)	PUNCT
ejpam-6311	162	9	lim	lim	PROPN
ejpam-6311	162	10	inf	inf	PROPN
ejpam-6311	162	11	n→∞	n→∞	X
ejpam-6311	162	12	σi	σi	NOUN
ejpam-6311	162	13	n	n	CCONJ
ejpam-6311	162	14	>	>	X
ejpam-6311	162	15	0	0	NUM
ejpam-6311	162	16	;	;	PUNCT
ejpam-6311	162	17	(	(	PUNCT
ejpam-6311	162	18	v	v	NOUN
ejpam-6311	162	19	)	)	PUNCT
ejpam-6311	162	20	g	g	NOUN
ejpam-6311	162	21	is	be	AUX
ejpam-6311	162	22	transitive	transitive	ADJ
ejpam-6311	162	23	.	.	PUNCT
ejpam-6311	163	1	then	then	ADV
ejpam-6311	163	2	,	,	PUNCT
ejpam-6311	163	3	lim	lim	PROPN
ejpam-6311	163	4	n→∞	n→∞	X
ejpam-6311	163	5	∥dn	∥dn	CCONJ
ejpam-6311	164	1	−	−	NOUN
ejpam-6311	164	2	jidn∥	jidn∥	NOUN
ejpam-6311	165	1	=	=	NOUN
ejpam-6311	165	2	0	0	NUM
ejpam-6311	165	3	for	for	ADP
ejpam-6311	165	4	all	all	DET
ejpam-6311	165	5	i	i	PRON
ejpam-6311	165	6	=	=	NOUN
ejpam-6311	165	7	1	1	NUM
ejpam-6311	165	8	,	,	PUNCT
ejpam-6311	165	9	2	2	NUM
ejpam-6311	165	10	,	,	PUNCT
ejpam-6311	165	11	.	.	PUNCT
ejpam-6311	165	12	.	.	PUNCT
ejpam-6311	166	1	.	.	PUNCT
ejpam-6311	167	1	,	,	PUNCT
ejpam-6311	167	2	n	n	X
ejpam-6311	167	3	.	.	PUNCT
ejpam-6311	168	1	proof	proof	NOUN
ejpam-6311	168	2	.	.	PUNCT
ejpam-6311	169	1	let	let	VERB
ejpam-6311	169	2	x∗	x∗	PROPN
ejpam-6311	169	3	∈	∈	PROPN
ejpam-6311	169	4	f.	f.	PROPN
ejpam-6311	169	5	we	we	PRON
ejpam-6311	169	6	first	first	ADV
ejpam-6311	169	7	consider	consider	VERB
ejpam-6311	169	8	the	the	DET
ejpam-6311	169	9	following	follow	VERB
ejpam-6311	169	10	calculations	calculation	NOUN
ejpam-6311	169	11	.	.	PUNCT
ejpam-6311	170	1	from	from	ADP
ejpam-6311	170	2	inequalities	inequality	NOUN
ejpam-6311	170	3	(	(	PUNCT
ejpam-6311	170	4	2	2	NUM
ejpam-6311	170	5	)	)	PUNCT
ejpam-6311	170	6	and	and	CCONJ
ejpam-6311	170	7	(	(	PUNCT
ejpam-6311	170	8	5	5	NUM
ejpam-6311	170	9	)	)	PUNCT
ejpam-6311	170	10	,	,	PUNCT
ejpam-6311	170	11	and	and	CCONJ
ejpam-6311	170	12	the	the	DET
ejpam-6311	170	13	definition	definition	NOUN
ejpam-6311	170	14	of	of	ADP
ejpam-6311	170	15	{	{	PUNCT
ejpam-6311	170	16	dn	dn	NOUN
ejpam-6311	170	17	}	}	PUNCT
ejpam-6311	170	18	,	,	PUNCT
ejpam-6311	170	19	∥ain	∥ain	VERB
ejpam-6311	170	20	−	−	PROPN
ejpam-6311	170	21	x∗∥2	x∗∥2	PROPN
ejpam-6311	170	22	≤	≤	PROPN
ejpam-6311	170	23	∥xn	∥xn	PROPN
ejpam-6311	170	24	−	−	NOUN
ejpam-6311	170	25	x∗	x∗	PROPN
ejpam-6311	171	1	+	+	CCONJ
ejpam-6311	171	2	βn(xn	βn(xn	PUNCT
ejpam-6311	172	1	−	−	PROPN
ejpam-6311	172	2	xn−1)∥2	xn−1)∥2	ADJ
ejpam-6311	172	3	−	−	PROPN
ejpam-6311	173	1	(	(	PUNCT
ejpam-6311	173	2	1−	1−	NUM
ejpam-6311	173	3	σi	σi	NOUN
ejpam-6311	173	4	n)η	n)η	ADV
ejpam-6311	173	5	i	i	PRON
ejpam-6311	173	6	n(1−	n(1−	PROPN
ejpam-6311	173	7	µi	µi	INTJ
ejpam-6311	173	8	n)µ	n)µ	X
ejpam-6311	173	9	i	i	PRON
ejpam-6311	173	10	n∥dn	n∥dn	PROPN
ejpam-6311	173	11	−	−	PROPN
ejpam-6311	174	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	175	1	−	−	PROPN
ejpam-6311	175	2	σi	σi	INTJ
ejpam-6311	175	3	n(1−	n(1−	PROPN
ejpam-6311	176	1	µi	µi	INTJ
ejpam-6311	176	2	n)µ	n)µ	PUNCT
ejpam-6311	176	3	i	i	PRON
ejpam-6311	176	4	n∥dn	n∥dn	PROPN
ejpam-6311	176	5	−	−	PROPN
ejpam-6311	176	6	jidn∥2	jidn∥2	PROPN
ejpam-6311	176	7	≤	≤	PROPN
ejpam-6311	176	8	∥xn	∥xn	PROPN
ejpam-6311	176	9	−	−	PROPN
ejpam-6311	176	10	x∗∥2	x∗∥2	NOUN
ejpam-6311	177	1	+	+	CCONJ
ejpam-6311	177	2	2⟨βn(xn	2⟨βn(xn	NUM
ejpam-6311	177	3	−	−	NOUN
ejpam-6311	177	4	xn−1	xn−1	PROPN
ejpam-6311	177	5	)	)	PUNCT
ejpam-6311	177	6	,	,	PUNCT
ejpam-6311	177	7	dn	dn	ADP
ejpam-6311	177	8	−	−	PROPN
ejpam-6311	178	1	x∗⟩	x∗⟩	PRON
ejpam-6311	178	2	−	−	PROPN
ejpam-6311	179	1	(	(	PUNCT
ejpam-6311	179	2	1−	1−	NUM
ejpam-6311	179	3	σi	σi	NOUN
ejpam-6311	179	4	n)η	n)η	ADV
ejpam-6311	179	5	i	i	PRON
ejpam-6311	179	6	n(1−	n(1−	PROPN
ejpam-6311	179	7	µi	µi	INTJ
ejpam-6311	179	8	n)µ	n)µ	X
ejpam-6311	179	9	i	i	PRON
ejpam-6311	179	10	n∥dn	n∥dn	PROPN
ejpam-6311	179	11	−	−	PROPN
ejpam-6311	180	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	181	1	−	−	PROPN
ejpam-6311	181	2	σi	σi	INTJ
ejpam-6311	181	3	n(1−	n(1−	PROPN
ejpam-6311	182	1	µi	µi	INTJ
ejpam-6311	182	2	n)µ	n)µ	PUNCT
ejpam-6311	182	3	i	i	PRON
ejpam-6311	182	4	n∥dn	n∥dn	PROPN
ejpam-6311	182	5	−	−	PROPN
ejpam-6311	182	6	jidn∥2	jidn∥2	PROPN
ejpam-6311	182	7	≤	≤	PROPN
ejpam-6311	182	8	∥xn	∥xn	PROPN
ejpam-6311	182	9	−	−	PROPN
ejpam-6311	182	10	x∗∥2	x∗∥2	NOUN
ejpam-6311	183	1	+	+	CCONJ
ejpam-6311	183	2	2|βn|∥xn	2|βn|∥xn	NOUN
ejpam-6311	184	1	−	−	X
ejpam-6311	185	1	xn−1∥∥dn	xn−1∥∥dn	INTJ
ejpam-6311	185	2	−	−	PROPN
ejpam-6311	186	1	x∗∥	x∗∥	PROPN
ejpam-6311	186	2	−	−	PROPN
ejpam-6311	187	1	(	(	PUNCT
ejpam-6311	187	2	1−	1−	NUM
ejpam-6311	187	3	σi	σi	NOUN
ejpam-6311	187	4	n)η	n)η	ADV
ejpam-6311	187	5	i	i	PRON
ejpam-6311	187	6	n(1−	n(1−	PROPN
ejpam-6311	187	7	µi	µi	INTJ
ejpam-6311	187	8	n)µ	n)µ	X
ejpam-6311	187	9	i	i	PRON
ejpam-6311	187	10	n∥dn	n∥dn	PROPN
ejpam-6311	187	11	−	−	PROPN
ejpam-6311	188	1	jidn∥2	jidn∥2	PROPN
ejpam-6311	189	1	−	−	PROPN
ejpam-6311	189	2	σi	σi	INTJ
ejpam-6311	189	3	n(1−	n(1−	PROPN
ejpam-6311	190	1	µi	µi	INTJ
ejpam-6311	190	2	n)µ	n)µ	PUNCT
ejpam-6311	190	3	i	i	PRON
ejpam-6311	190	4	n∥dn	n∥dn	PROPN
ejpam-6311	190	5	−	−	PROPN
ejpam-6311	190	6	jidn∥2	jidn∥2	PROPN
ejpam-6311	190	7	.	.	PUNCT
ejpam-6311	191	1	(	(	PUNCT
ejpam-6311	191	2	6	6	NUM
ejpam-6311	191	3	)	)	PUNCT
ejpam-6311	191	4	from	from	ADP
ejpam-6311	191	5	(	(	PUNCT
ejpam-6311	191	6	6	6	NUM
ejpam-6311	191	7	)	)	PUNCT
ejpam-6311	191	8	,	,	PUNCT
ejpam-6311	191	9	there	there	PRON
ejpam-6311	191	10	exists	exist	VERB
ejpam-6311	191	11	some	some	PRON
ejpam-6311	191	12	in	in	ADP
ejpam-6311	191	13	such	such	ADJ
ejpam-6311	191	14	that	that	PRON
ejpam-6311	191	15	xn+1	xn+1	PROPN
ejpam-6311	191	16	=	=	SYM
ejpam-6311	191	17	ainn	ainn	NOUN
ejpam-6311	191	18	and	and	CCONJ
ejpam-6311	191	19	that	that	SCONJ
ejpam-6311	191	20	σin	σin	NOUN
ejpam-6311	191	21	n	n	CCONJ
ejpam-6311	191	22	(	(	PUNCT
ejpam-6311	191	23	1−	1−	NUM
ejpam-6311	191	24	µin	µin	NOUN
ejpam-6311	191	25	n	n	NOUN
ejpam-6311	191	26	)	)	PUNCT
ejpam-6311	191	27	µin	µin	NOUN
ejpam-6311	191	28	n	n	NOUN
ejpam-6311	191	29	∥dn	∥dn	CCONJ
ejpam-6311	191	30	−	−	PROPN
ejpam-6311	191	31	jindn∥2	jindn∥2	PROPN
ejpam-6311	191	32	≤	≤	NOUN
ejpam-6311	191	33	∥xn	∥xn	PROPN
ejpam-6311	191	34	−	−	PROPN
ejpam-6311	191	35	x∗∥2	x∗∥2	PROPN
ejpam-6311	191	36	−	−	PROPN
ejpam-6311	191	37	∥xn+1	∥xn+1	PROPN
ejpam-6311	192	1	−	−	PROPN
ejpam-6311	192	2	x∗∥2	x∗∥2	NOUN
ejpam-6311	192	3	+	+	CCONJ
ejpam-6311	192	4	2|βn|∥xn	2|βn|∥xn	NOUN
ejpam-6311	193	1	−	−	ADP
ejpam-6311	193	2	xn−1∥∥dn	xn−1∥∥dn	X
ejpam-6311	194	1	−	−	PROPN
ejpam-6311	194	2	x∗∥.	x∗∥.	X
ejpam-6311	195	1	it	it	PRON
ejpam-6311	195	2	is	be	AUX
ejpam-6311	195	3	clear	clear	ADJ
ejpam-6311	195	4	that	that	SCONJ
ejpam-6311	195	5	the	the	DET
ejpam-6311	195	6	right	right	ADJ
ejpam-6311	195	7	handed	handed	ADJ
ejpam-6311	195	8	side	side	NOUN
ejpam-6311	195	9	of	of	ADP
ejpam-6311	195	10	(	(	PUNCT
ejpam-6311	195	11	6	6	NUM
ejpam-6311	195	12	)	)	PUNCT
ejpam-6311	195	13	tends	tend	VERB
ejpam-6311	195	14	to	to	ADP
ejpam-6311	195	15	zero	zero	NUM
ejpam-6311	195	16	when	when	SCONJ
ejpam-6311	195	17	n	n	X
ejpam-6311	195	18	→	→	SYM
ejpam-6311	195	19	∞.	∞.	PROPN
ejpam-6311	195	20	therefore	therefore	ADV
ejpam-6311	195	21	s.	s.	PROPN
ejpam-6311	195	22	panma	panma	PROPN
ejpam-6311	195	23	,	,	PUNCT
ejpam-6311	195	24	r.	r.	PROPN
ejpam-6311	195	25	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	195	26	,	,	PUNCT
ejpam-6311	195	27	t.	t.	NOUN
ejpam-6311	195	28	chaobankoh	chaobankoh	PROPN
ejpam-6311	195	29	/	/	SYM
ejpam-6311	195	30	eur	eur	PROPN
ejpam-6311	195	31	.	.	PUNCT
ejpam-6311	196	1	j.	j.	PROPN
ejpam-6311	196	2	pure	pure	PROPN
ejpam-6311	196	3	appl	appl	PROPN
ejpam-6311	196	4	.	.	PROPN
ejpam-6311	196	5	math	math	PROPN
ejpam-6311	196	6	,	,	PUNCT
ejpam-6311	196	7	18	18	NUM
ejpam-6311	196	8	(	(	PUNCT
ejpam-6311	196	9	3	3	NUM
ejpam-6311	196	10	)	)	PUNCT
ejpam-6311	196	11	(	(	PUNCT
ejpam-6311	196	12	2025	2025	NUM
ejpam-6311	196	13	)	)	PUNCT
ejpam-6311	196	14	,	,	PUNCT
ejpam-6311	196	15	6311	6311	NUM
ejpam-6311	196	16	7	7	NUM
ejpam-6311	196	17	of	of	ADP
ejpam-6311	196	18	20	20	NUM
ejpam-6311	196	19	lim	lim	PROPN
ejpam-6311	196	20	n→∞	n→∞	NUM
ejpam-6311	196	21	∥dn	∥dn	CCONJ
ejpam-6311	196	22	−	−	NOUN
ejpam-6311	196	23	jindn∥	jindn∥	NOUN
ejpam-6311	196	24	=	=	NOUN
ejpam-6311	196	25	0	0	X
ejpam-6311	196	26	.	.	PUNCT
ejpam-6311	197	1	(	(	PUNCT
ejpam-6311	197	2	7	7	X
ejpam-6311	197	3	)	)	PUNCT
ejpam-6311	197	4	next	next	ADV
ejpam-6311	197	5	,	,	PUNCT
ejpam-6311	197	6	we	we	PRON
ejpam-6311	197	7	will	will	AUX
ejpam-6311	197	8	show	show	VERB
ejpam-6311	197	9	that	that	SCONJ
ejpam-6311	197	10	limn→∞	limn→∞	PROPN
ejpam-6311	197	11	∥dn	∥dn	CCONJ
ejpam-6311	197	12	−	−	PROPN
ejpam-6311	197	13	jidn∥	jidn∥	NOUN
ejpam-6311	197	14	=	=	NOUN
ejpam-6311	198	1	0	0	X
ejpam-6311	198	2	.	.	PUNCT
ejpam-6311	199	1	by	by	ADP
ejpam-6311	199	2	the	the	DET
ejpam-6311	199	3	triangle	triangle	NOUN
ejpam-6311	199	4	inequality	inequality	NOUN
ejpam-6311	199	5	and	and	CCONJ
ejpam-6311	199	6	the	the	DET
ejpam-6311	199	7	g	g	NOUN
ejpam-6311	199	8	-	-	PUNCT
ejpam-6311	199	9	nonexpansivity	nonexpansivity	NOUN
ejpam-6311	199	10	of	of	ADP
ejpam-6311	199	11	jin	jin	NOUN
ejpam-6311	199	12	,	,	PUNCT
ejpam-6311	199	13	we	we	PRON
ejpam-6311	199	14	have	have	VERB
ejpam-6311	199	15	that	that	DET
ejpam-6311	199	16	∥xn+1	∥xn+1	NOUN
ejpam-6311	199	17	−	−	PROPN
ejpam-6311	199	18	dn∥	dn∥	PROPN
ejpam-6311	199	19	≤	≤	NUM
ejpam-6311	200	1	(	(	PUNCT
ejpam-6311	200	2	1−	1−	NUM
ejpam-6311	200	3	σin	σin	NOUN
ejpam-6311	200	4	n	n	CCONJ
ejpam-6311	200	5	)	)	PUNCT
ejpam-6311	200	6	∥jinbinn	∥jinbinn	NOUN
ejpam-6311	200	7	−	−	PROPN
ejpam-6311	200	8	dn∥+	dn∥+	NOUN
ejpam-6311	200	9	σin	σin	X
ejpam-6311	200	10	n	n	PRON
ejpam-6311	200	11	∥jincinn	∥jincinn	NOUN
ejpam-6311	200	12	−	−	PROPN
ejpam-6311	201	1	dn∥	dn∥	PROPN
ejpam-6311	201	2	≤	≤	NUM
ejpam-6311	201	3	(	(	PUNCT
ejpam-6311	201	4	1−	1−	NUM
ejpam-6311	201	5	σin	σin	NOUN
ejpam-6311	201	6	n	n	CCONJ
ejpam-6311	201	7	)	)	PUNCT
ejpam-6311	201	8	∥jinbinn	∥jinbinn	PROPN
ejpam-6311	201	9	−	−	PROPN
ejpam-6311	201	10	jindn∥+	jindn∥+	NOUN
ejpam-6311	201	11	(	(	PUNCT
ejpam-6311	201	12	1−	1−	NUM
ejpam-6311	201	13	σin	σin	NOUN
ejpam-6311	201	14	n	n	CCONJ
ejpam-6311	201	15	)	)	PUNCT
ejpam-6311	201	16	∥jindn	∥jindn	ADJ
ejpam-6311	201	17	−	−	PROPN
ejpam-6311	202	1	dn∥	dn∥	PROPN
ejpam-6311	202	2	+	+	CCONJ
ejpam-6311	202	3	σin	σin	PROPN
ejpam-6311	202	4	n	n	CCONJ
ejpam-6311	202	5	∥jincinn	∥jincinn	NOUN
ejpam-6311	202	6	−	−	NOUN
ejpam-6311	202	7	jindn∥+	jindn∥+	NOUN
ejpam-6311	202	8	σin	σin	VERB
ejpam-6311	202	9	n	n	CCONJ
ejpam-6311	202	10	∥jindn	∥jindn	ADJ
ejpam-6311	202	11	−	−	NUM
ejpam-6311	202	12	dn∥	dn∥	PROPN
ejpam-6311	202	13	≤	≤	NUM
ejpam-6311	202	14	(	(	PUNCT
ejpam-6311	202	15	1−	1−	NUM
ejpam-6311	202	16	σin	σin	NOUN
ejpam-6311	202	17	n	n	CCONJ
ejpam-6311	202	18	)	)	PUNCT
ejpam-6311	202	19	∥binn	∥binn	PROPN
ejpam-6311	202	20	−	−	PROPN
ejpam-6311	202	21	dn∥+	dn∥+	NOUN
ejpam-6311	202	22	∥jindn	∥jindn	ADJ
ejpam-6311	202	23	−	−	PROPN
ejpam-6311	202	24	dn∥+	dn∥+	NOUN
ejpam-6311	202	25	σin	σin	X
ejpam-6311	202	26	n	n	PRON
ejpam-6311	202	27	∥jincinn	∥jincinn	NOUN
ejpam-6311	202	28	−	−	PROPN
ejpam-6311	203	1	jindn∥	jindn∥	NOUN
ejpam-6311	203	2	≤	≤	NOUN
ejpam-6311	203	3	(	(	PUNCT
ejpam-6311	203	4	1−	1−	NUM
ejpam-6311	203	5	σin	σin	NOUN
ejpam-6311	203	6	n	n	CCONJ
ejpam-6311	203	7	)	)	PUNCT
ejpam-6311	203	8	∥binn	∥binn	PROPN
ejpam-6311	203	9	−	−	PROPN
ejpam-6311	203	10	jindn∥+	jindn∥+	NOUN
ejpam-6311	203	11	(	(	PUNCT
ejpam-6311	203	12	2−	2−	NUM
ejpam-6311	203	13	σin	σin	NOUN
ejpam-6311	203	14	n	n	CCONJ
ejpam-6311	203	15	)	)	PUNCT
ejpam-6311	203	16	∥jindn	∥jindn	ADJ
ejpam-6311	203	17	−	−	PROPN
ejpam-6311	203	18	dn∥+	dn∥+	NOUN
ejpam-6311	203	19	σin	σin	X
ejpam-6311	203	20	n	n	PRON
ejpam-6311	203	21	∥jincinn	∥jincinn	NOUN
ejpam-6311	203	22	−	−	PROPN
ejpam-6311	204	1	jindn∥.	jindn∥.	INTJ
ejpam-6311	204	2	we	we	PRON
ejpam-6311	204	3	obtain	obtain	VERB
ejpam-6311	204	4	the	the	DET
ejpam-6311	204	5	following	follow	VERB
ejpam-6311	204	6	calculations	calculation	NOUN
ejpam-6311	204	7	by	by	ADP
ejpam-6311	204	8	applying	apply	VERB
ejpam-6311	204	9	the	the	DET
ejpam-6311	204	10	definitions	definition	NOUN
ejpam-6311	204	11	of	of	ADP
ejpam-6311	204	12	binn	binn	PROPN
ejpam-6311	204	13	and	and	CCONJ
ejpam-6311	204	14	cinn	cinn	PROPN
ejpam-6311	204	15	together	together	ADV
ejpam-6311	204	16	with	with	ADP
ejpam-6311	204	17	the	the	DET
ejpam-6311	204	18	g	g	NOUN
ejpam-6311	204	19	-	-	PUNCT
ejpam-6311	204	20	nonexpansivity	nonexpansivity	NOUN
ejpam-6311	204	21	of	of	ADP
ejpam-6311	204	22	jin	jin	NOUN
ejpam-6311	204	23	:	:	PUNCT
ejpam-6311	204	24	∥xn+1	∥xn+1	VERB
ejpam-6311	204	25	−	−	PROPN
ejpam-6311	205	1	dn∥	dn∥	PROPN
ejpam-6311	205	2	≤	≤	NUM
ejpam-6311	205	3	(	(	PUNCT
ejpam-6311	205	4	1−	1−	NUM
ejpam-6311	205	5	σin	σin	NOUN
ejpam-6311	205	6	n	n	CCONJ
ejpam-6311	205	7	)	)	PUNCT
ejpam-6311	205	8	ηinn	ηinn	VERB
ejpam-6311	205	9	∥jincinn	∥jincinn	NOUN
ejpam-6311	205	10	−	−	PROPN
ejpam-6311	205	11	jindn∥+	jindn∥+	NOUN
ejpam-6311	205	12	(	(	PUNCT
ejpam-6311	205	13	2−	2−	NUM
ejpam-6311	205	14	σin	σin	NOUN
ejpam-6311	205	15	n	n	CCONJ
ejpam-6311	205	16	)	)	PUNCT
ejpam-6311	205	17	∥jindn	∥jindn	ADJ
ejpam-6311	205	18	−	−	PROPN
ejpam-6311	205	19	dn∥+	dn∥+	NOUN
ejpam-6311	205	20	σin	σin	X
ejpam-6311	205	21	n	n	PRON
ejpam-6311	205	22	∥jincinn	∥jincinn	NOUN
ejpam-6311	205	23	−	−	PROPN
ejpam-6311	205	24	jindn∥	jindn∥	NOUN
ejpam-6311	205	25	=	=	PRON
ejpam-6311	205	26	{	{	PUNCT
ejpam-6311	205	27	(	(	PUNCT
ejpam-6311	205	28	1−	1−	NUM
ejpam-6311	205	29	σin	σin	NOUN
ejpam-6311	205	30	n	n	CCONJ
ejpam-6311	205	31	)	)	PUNCT
ejpam-6311	205	32	ηinn	ηinn	NOUN
ejpam-6311	205	33	+	+	CCONJ
ejpam-6311	205	34	σin	σin	PROPN
ejpam-6311	205	35	n	n	CCONJ
ejpam-6311	205	36	}	}	PUNCT
ejpam-6311	205	37	∥jincinn	∥jincinn	NOUN
ejpam-6311	205	38	−	−	PROPN
ejpam-6311	205	39	jindn∥+	jindn∥+	NOUN
ejpam-6311	205	40	(	(	PUNCT
ejpam-6311	205	41	2−	2−	NUM
ejpam-6311	205	42	σin	σin	NOUN
ejpam-6311	205	43	n	n	CCONJ
ejpam-6311	205	44	)	)	PUNCT
ejpam-6311	205	45	∥jindn	∥jindn	ADJ
ejpam-6311	205	46	−	−	PROPN
ejpam-6311	205	47	dn∥	dn∥	PROPN
ejpam-6311	205	48	≤	≤	NUM
ejpam-6311	205	49	{	{	PUNCT
ejpam-6311	205	50	(	(	PUNCT
ejpam-6311	205	51	1−	1−	NUM
ejpam-6311	205	52	σin	σin	NOUN
ejpam-6311	205	53	n	n	CCONJ
ejpam-6311	205	54	)	)	PUNCT
ejpam-6311	205	55	ηinn	ηinn	NOUN
ejpam-6311	205	56	+	+	CCONJ
ejpam-6311	205	57	σin	σin	ADJ
ejpam-6311	205	58	n	n	CCONJ
ejpam-6311	205	59	}	}	PUNCT
ejpam-6311	205	60	∥cinn	∥cinn	PROPN
ejpam-6311	205	61	−	−	PROPN
ejpam-6311	205	62	dn∥+	dn∥+	NOUN
ejpam-6311	205	63	(	(	PUNCT
ejpam-6311	205	64	2−	2−	NUM
ejpam-6311	205	65	σin	σin	NOUN
ejpam-6311	205	66	n	n	CCONJ
ejpam-6311	205	67	)	)	PUNCT
ejpam-6311	205	68	∥jindn	∥jindn	ADJ
ejpam-6311	205	69	−	−	PROPN
ejpam-6311	205	70	dn∥	dn∥	PROPN
ejpam-6311	205	71	=	=	SYM
ejpam-6311	205	72	{	{	PUNCT
ejpam-6311	205	73	(	(	PUNCT
ejpam-6311	205	74	1−	1−	NUM
ejpam-6311	205	75	σin	σin	NOUN
ejpam-6311	205	76	n	n	CCONJ
ejpam-6311	205	77	)	)	PUNCT
ejpam-6311	205	78	ηinn	ηinn	NOUN
ejpam-6311	205	79	+	+	CCONJ
ejpam-6311	205	80	σin	σin	ADJ
ejpam-6311	205	81	n	n	CCONJ
ejpam-6311	205	82	}	}	PUNCT
ejpam-6311	205	83	µin	µin	NOUN
ejpam-6311	205	84	n	n	CCONJ
ejpam-6311	205	85	∥jindn	∥jindn	ADJ
ejpam-6311	205	86	−	−	PROPN
ejpam-6311	205	87	dn∥+	dn∥+	NOUN
ejpam-6311	205	88	(	(	PUNCT
ejpam-6311	205	89	2−	2−	NUM
ejpam-6311	205	90	σin	σin	NOUN
ejpam-6311	205	91	n	n	CCONJ
ejpam-6311	205	92	)	)	PUNCT
ejpam-6311	205	93	∥jindn	∥jindn	ADJ
ejpam-6311	205	94	−	−	NUM
ejpam-6311	206	1	dn∥	dn∥	PROPN
ejpam-6311	207	1	=	=	PUNCT
ejpam-6311	208	1	[	[	X
ejpam-6311	208	2	{	{	PUNCT
ejpam-6311	208	3	(	(	PUNCT
ejpam-6311	208	4	1−	1−	NUM
ejpam-6311	208	5	σin	σin	NOUN
ejpam-6311	208	6	n	n	CCONJ
ejpam-6311	208	7	)	)	PUNCT
ejpam-6311	208	8	ηinn	ηinn	NOUN
ejpam-6311	208	9	+	+	CCONJ
ejpam-6311	208	10	σin	σin	ADJ
ejpam-6311	208	11	n	n	CCONJ
ejpam-6311	208	12	}	}	PUNCT
ejpam-6311	208	13	µin	µin	NOUN
ejpam-6311	208	14	n	n	NOUN
ejpam-6311	208	15	+	+	CCONJ
ejpam-6311	208	16	(	(	PUNCT
ejpam-6311	208	17	2−	2−	NUM
ejpam-6311	208	18	σin	σin	NOUN
ejpam-6311	208	19	n	n	PROPN
ejpam-6311	208	20	)	)	PUNCT
ejpam-6311	208	21	]	]	PUNCT
ejpam-6311	208	22	∥jindn	∥jindn	ADJ
ejpam-6311	208	23	−	−	PROPN
ejpam-6311	208	24	dn∥.	dn∥.	PROPN
ejpam-6311	208	25	(	(	PUNCT
ejpam-6311	208	26	8)	8)	NUM
ejpam-6311	208	27	by	by	ADP
ejpam-6311	208	28	(	(	PUNCT
ejpam-6311	208	29	7	7	NUM
ejpam-6311	208	30	)	)	PUNCT
ejpam-6311	208	31	,	,	PUNCT
ejpam-6311	208	32	taking	take	VERB
ejpam-6311	208	33	n	n	PRON
ejpam-6311	208	34	→	→	SYM
ejpam-6311	208	35	∞	∞	PROPN
ejpam-6311	208	36	,	,	PUNCT
ejpam-6311	208	37	we	we	PRON
ejpam-6311	208	38	can	can	AUX
ejpam-6311	208	39	conclude	conclude	VERB
ejpam-6311	208	40	that	that	SCONJ
ejpam-6311	208	41	lim	lim	PROPN
ejpam-6311	208	42	n→∞	n→∞	PRON
ejpam-6311	208	43	∥ain	∥ain	VERB
ejpam-6311	208	44	−	−	PROPN
ejpam-6311	209	1	dn∥	dn∥	PROPN
ejpam-6311	209	2	=	=	PUNCT
ejpam-6311	209	3	0	0	PROPN
ejpam-6311	209	4	for	for	ADP
ejpam-6311	209	5	all	all	DET
ejpam-6311	209	6	i	i	PRON
ejpam-6311	209	7	=	=	NOUN
ejpam-6311	209	8	1	1	NUM
ejpam-6311	209	9	,	,	PUNCT
ejpam-6311	209	10	2	2	NUM
ejpam-6311	209	11	,	,	PUNCT
ejpam-6311	209	12	.	.	PUNCT
ejpam-6311	209	13	.	.	PUNCT
ejpam-6311	209	14	.	.	PUNCT
ejpam-6311	210	1	,	,	PUNCT
ejpam-6311	210	2	n.	n.	PROPN
ejpam-6311	210	3	now	now	ADV
ejpam-6311	210	4	,	,	PUNCT
ejpam-6311	210	5	it	it	PRON
ejpam-6311	210	6	follows	follow	VERB
ejpam-6311	210	7	from	from	ADP
ejpam-6311	210	8	(	(	PUNCT
ejpam-6311	210	9	5	5	NUM
ejpam-6311	210	10	)	)	PUNCT
ejpam-6311	210	11	that	that	SCONJ
ejpam-6311	210	12	there	there	PRON
ejpam-6311	210	13	exists	exist	VERB
ejpam-6311	210	14	a	a	DET
ejpam-6311	210	15	constant	constant	ADJ
ejpam-6311	210	16	c	c	NOUN
ejpam-6311	210	17	>	>	X
ejpam-6311	210	18	0	0	NUM
ejpam-6311	211	1	such	such	ADJ
ejpam-6311	211	2	that	that	SCONJ
ejpam-6311	211	3	σi	σi	PROPN
ejpam-6311	211	4	n(1−	n(1−	PROPN
ejpam-6311	211	5	µi	µi	INTJ
ejpam-6311	211	6	n)µ	n)µ	PUNCT
ejpam-6311	211	7	i	i	PRON
ejpam-6311	211	8	n∥dn	n∥dn	PROPN
ejpam-6311	211	9	−	−	PROPN
ejpam-6311	211	10	jidn∥2	jidn∥2	PROPN
ejpam-6311	211	11	≤	≤	ADJ
ejpam-6311	211	12	∥dn	∥dn	CCONJ
ejpam-6311	211	13	−	−	PROPN
ejpam-6311	211	14	x∗∥2	x∗∥2	NOUN
ejpam-6311	211	15	−	−	PROPN
ejpam-6311	211	16	∥ain	∥ain	VERB
ejpam-6311	211	17	−	−	PROPN
ejpam-6311	211	18	x∗∥2	x∗∥2	NOUN
ejpam-6311	211	19	−	−	PROPN
ejpam-6311	212	1	(	(	PUNCT
ejpam-6311	212	2	1−	1−	NUM
ejpam-6311	212	3	σi	σi	NOUN
ejpam-6311	212	4	n)η	n)η	ADV
ejpam-6311	212	5	i	i	PRON
ejpam-6311	212	6	n(1−	n(1−	PROPN
ejpam-6311	212	7	µi	µi	INTJ
ejpam-6311	212	8	n)µ	n)µ	X
ejpam-6311	212	9	i	i	PRON
ejpam-6311	212	10	n∥dn	n∥dn	PROPN
ejpam-6311	213	1	−	−	PROPN
ejpam-6311	213	2	jidn∥2	jidn∥2	PROPN
ejpam-6311	213	3	≤	≤	PROPN
ejpam-6311	213	4	c(∥dn	c(∥dn	NOUN
ejpam-6311	213	5	−	−	PROPN
ejpam-6311	214	1	x∗∥	x∗∥	PROPN
ejpam-6311	214	2	−	−	PROPN
ejpam-6311	214	3	∥ain	∥ain	VERB
ejpam-6311	214	4	−	−	PROPN
ejpam-6311	214	5	x∗∥	x∗∥	PROPN
ejpam-6311	214	6	)	)	PUNCT
ejpam-6311	214	7	≤	≤	NOUN
ejpam-6311	215	1	c∥dn	c∥dn	ADP
ejpam-6311	215	2	−	−	PROPN
ejpam-6311	215	3	ain∥.	ain∥.	PRON
ejpam-6311	215	4	finally	finally	ADV
ejpam-6311	215	5	,	,	PUNCT
ejpam-6311	215	6	we	we	PRON
ejpam-6311	215	7	have	have	VERB
ejpam-6311	215	8	that	that	SCONJ
ejpam-6311	215	9	lim	lim	PROPN
ejpam-6311	215	10	n→∞	n→∞	X
ejpam-6311	216	1	∥dn	∥dn	CCONJ
ejpam-6311	217	1	−	−	NOUN
ejpam-6311	217	2	jidn∥	jidn∥	NOUN
ejpam-6311	218	1	=	=	NOUN
ejpam-6311	218	2	0	0	NUM
ejpam-6311	218	3	for	for	ADP
ejpam-6311	218	4	all	all	DET
ejpam-6311	218	5	i	i	PRON
ejpam-6311	218	6	=	=	NOUN
ejpam-6311	218	7	1	1	NUM
ejpam-6311	218	8	,	,	PUNCT
ejpam-6311	218	9	2	2	NUM
ejpam-6311	218	10	,	,	PUNCT
ejpam-6311	218	11	.	.	PUNCT
ejpam-6311	218	12	.	.	PUNCT
ejpam-6311	219	1	.	.	PUNCT
ejpam-6311	220	1	,	,	PUNCT
ejpam-6311	220	2	n	n	X
ejpam-6311	220	3	.	.	PUNCT
ejpam-6311	221	1	analogously	analogously	ADV
ejpam-6311	221	2	,	,	PUNCT
ejpam-6311	221	3	we	we	PRON
ejpam-6311	221	4	establish	establish	VERB
ejpam-6311	221	5	the	the	DET
ejpam-6311	221	6	following	follow	VERB
ejpam-6311	221	7	lemma	lemma	PROPN
ejpam-6311	221	8	using	use	VERB
ejpam-6311	221	9	a	a	DET
ejpam-6311	221	10	similar	similar	ADJ
ejpam-6311	221	11	approach	approach	NOUN
ejpam-6311	221	12	.	.	PUNCT
ejpam-6311	222	1	lemma	lemma	PROPN
ejpam-6311	222	2	4	4	X
ejpam-6311	222	3	.	.	PUNCT
ejpam-6311	222	4	assume	assume	VERB
ejpam-6311	222	5	that	that	SCONJ
ejpam-6311	222	6	for	for	ADP
ejpam-6311	222	7	all	all	DET
ejpam-6311	222	8	i	i	PRON
ejpam-6311	222	9	=	=	NOUN
ejpam-6311	222	10	1	1	NUM
ejpam-6311	222	11	,	,	PUNCT
ejpam-6311	222	12	2	2	NUM
ejpam-6311	222	13	,	,	PUNCT
ejpam-6311	222	14	.	.	PUNCT
ejpam-6311	222	15	.	.	PUNCT
ejpam-6311	223	1	.	.	PUNCT
ejpam-6311	224	1	,	,	PUNCT
ejpam-6311	224	2	n	n	X
ejpam-6311	224	3	,	,	PUNCT
ejpam-6311	224	4	the	the	DET
ejpam-6311	224	5	following	follow	VERB
ejpam-6311	224	6	conditions	condition	NOUN
ejpam-6311	224	7	are	be	AUX
ejpam-6311	224	8	met	meet	VERB
ejpam-6311	224	9	:	:	PUNCT
ejpam-6311	224	10	s.	s.	PROPN
ejpam-6311	224	11	panma	panma	PROPN
ejpam-6311	224	12	,	,	PUNCT
ejpam-6311	224	13	r.	r.	PROPN
ejpam-6311	224	14	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	224	15	,	,	PUNCT
ejpam-6311	224	16	t.	t.	NOUN
ejpam-6311	224	17	chaobankoh	chaobankoh	PROPN
ejpam-6311	224	18	/	/	SYM
ejpam-6311	224	19	eur	eur	PROPN
ejpam-6311	224	20	.	.	PUNCT
ejpam-6311	225	1	j.	j.	PROPN
ejpam-6311	225	2	pure	pure	PROPN
ejpam-6311	225	3	appl	appl	PROPN
ejpam-6311	225	4	.	.	PROPN
ejpam-6311	225	5	math	math	PROPN
ejpam-6311	225	6	,	,	PUNCT
ejpam-6311	225	7	18	18	NUM
ejpam-6311	225	8	(	(	PUNCT
ejpam-6311	225	9	3	3	NUM
ejpam-6311	225	10	)	)	PUNCT
ejpam-6311	225	11	(	(	PUNCT
ejpam-6311	225	12	2025	2025	NUM
ejpam-6311	225	13	)	)	PUNCT
ejpam-6311	225	14	,	,	PUNCT
ejpam-6311	225	15	6311	6311	NUM
ejpam-6311	225	16	8	8	NUM
ejpam-6311	225	17	of	of	ADP
ejpam-6311	225	18	20	20	NUM
ejpam-6311	225	19	(	(	PUNCT
ejpam-6311	225	20	i	i	NOUN
ejpam-6311	225	21	)	)	PUNCT
ejpam-6311	225	22	∞∑	∞∑	NUM
ejpam-6311	225	23	n=1	n=1	PROPN
ejpam-6311	225	24	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	226	1	−	−	PROPN
ejpam-6311	226	2	xn−1∥	xn−1∥	PROPN
ejpam-6311	226	3	<	<	X
ejpam-6311	226	4	∞	∞	PROPN
ejpam-6311	226	5	;	;	PUNCT
ejpam-6311	226	6	(	(	PUNCT
ejpam-6311	226	7	ii	ii	NOUN
ejpam-6311	226	8	)	)	PUNCT
ejpam-6311	226	9	(	(	PUNCT
ejpam-6311	226	10	dn	dn	INTJ
ejpam-6311	226	11	,	,	PUNCT
ejpam-6311	226	12	x	x	NOUN
ejpam-6311	226	13	∗	∗	NOUN
ejpam-6311	226	14	)	)	PUNCT
ejpam-6311	226	15	,	,	PUNCT
ejpam-6311	226	16	(	(	PUNCT
ejpam-6311	226	17	cin	cin	PROPN
ejpam-6311	226	18	,	,	PUNCT
ejpam-6311	226	19	dn	dn	PROPN
ejpam-6311	226	20	)	)	PUNCT
ejpam-6311	226	21	and	and	CCONJ
ejpam-6311	226	22	(	(	PUNCT
ejpam-6311	226	23	bin	bin	NOUN
ejpam-6311	226	24	,	,	PUNCT
ejpam-6311	226	25	dn	dn	PROPN
ejpam-6311	226	26	)	)	PUNCT
ejpam-6311	226	27	∈	∈	PROPN
ejpam-6311	226	28	e(g	e(g	PROPN
ejpam-6311	226	29	)	)	PUNCT
ejpam-6311	226	30	for	for	ADP
ejpam-6311	226	31	all	all	DET
ejpam-6311	226	32	x∗	x∗	PROPN
ejpam-6311	226	33	∈	∈	PROPN
ejpam-6311	227	1	f	f	X
ejpam-6311	227	2	;	;	PUNCT
ejpam-6311	227	3	(	(	PUNCT
ejpam-6311	227	4	iii	iii	NOUN
ejpam-6311	227	5	)	)	PUNCT
ejpam-6311	227	6	0	0	PUNCT
ejpam-6311	227	7	<	<	X
ejpam-6311	227	8	lim	lim	PROPN
ejpam-6311	227	9	inf	inf	PROPN
ejpam-6311	227	10	n→∞	n→∞	X
ejpam-6311	227	11	µi	µi	PROPN
ejpam-6311	227	12	n	n	CCONJ
ejpam-6311	227	13	≤	≤	NOUN
ejpam-6311	227	14	lim	lim	PROPN
ejpam-6311	227	15	sup	sup	VERB
ejpam-6311	227	16	n→∞	n→∞	PRON
ejpam-6311	228	1	µi	µi	ADP
ejpam-6311	228	2	n	n	X
ejpam-6311	228	3	<	<	X
ejpam-6311	228	4	1	1	NUM
ejpam-6311	228	5	;	;	PUNCT
ejpam-6311	228	6	(	(	PUNCT
ejpam-6311	228	7	iv	iv	X
ejpam-6311	228	8	)	)	PUNCT
ejpam-6311	228	9	lim	lim	PROPN
ejpam-6311	228	10	inf	inf	PROPN
ejpam-6311	228	11	n→∞	n→∞	X
ejpam-6311	228	12	σi	σi	NOUN
ejpam-6311	228	13	n	n	CCONJ
ejpam-6311	228	14	>	>	X
ejpam-6311	228	15	0	0	X
ejpam-6311	228	16	.	.	PUNCT
ejpam-6311	229	1	then	then	ADV
ejpam-6311	229	2	,	,	PUNCT
ejpam-6311	229	3	lim	lim	PROPN
ejpam-6311	229	4	n→∞	n→∞	X
ejpam-6311	229	5	∥dn	∥dn	CCONJ
ejpam-6311	230	1	−	−	NOUN
ejpam-6311	230	2	jidn∥	jidn∥	NOUN
ejpam-6311	231	1	=	=	NOUN
ejpam-6311	231	2	0	0	NUM
ejpam-6311	231	3	for	for	ADP
ejpam-6311	231	4	all	all	DET
ejpam-6311	231	5	i	i	PRON
ejpam-6311	231	6	=	=	NOUN
ejpam-6311	231	7	1	1	NUM
ejpam-6311	231	8	,	,	PUNCT
ejpam-6311	231	9	2	2	NUM
ejpam-6311	231	10	,	,	PUNCT
ejpam-6311	231	11	.	.	PUNCT
ejpam-6311	231	12	.	.	PUNCT
ejpam-6311	232	1	.	.	PUNCT
ejpam-6311	233	1	,	,	PUNCT
ejpam-6311	233	2	n	n	X
ejpam-6311	233	3	.	.	PUNCT
ejpam-6311	234	1	proof	proof	NOUN
ejpam-6311	234	2	.	.	PUNCT
ejpam-6311	235	1	here	here	ADV
ejpam-6311	235	2	,	,	PUNCT
ejpam-6311	235	3	we	we	PRON
ejpam-6311	235	4	replace	replace	VERB
ejpam-6311	235	5	conditions	condition	NOUN
ejpam-6311	235	6	(	(	PUNCT
ejpam-6311	235	7	ii	ii	NOUN
ejpam-6311	235	8	)	)	PUNCT
ejpam-6311	235	9	and	and	CCONJ
ejpam-6311	235	10	(	(	PUNCT
ejpam-6311	235	11	iv	iv	X
ejpam-6311	235	12	)	)	PUNCT
ejpam-6311	235	13	of	of	ADP
ejpam-6311	235	14	lemma	lemma	PROPN
ejpam-6311	235	15	3	3	NUM
ejpam-6311	235	16	with	with	ADP
ejpam-6311	235	17	condition	condition	NOUN
ejpam-6311	235	18	(	(	PUNCT
ejpam-6311	235	19	ii	ii	NOUN
ejpam-6311	235	20	)	)	PUNCT
ejpam-6311	235	21	of	of	ADP
ejpam-6311	235	22	lemma	lemma	PROPN
ejpam-6311	235	23	4	4	NUM
ejpam-6311	235	24	.	.	PUNCT
ejpam-6311	236	1	the	the	DET
ejpam-6311	236	2	proof	proof	NOUN
ejpam-6311	236	3	then	then	ADV
ejpam-6311	236	4	proceeds	proceed	VERB
ejpam-6311	236	5	similarly	similarly	ADV
ejpam-6311	236	6	to	to	ADP
ejpam-6311	236	7	that	that	PRON
ejpam-6311	236	8	of	of	ADP
ejpam-6311	236	9	lemma	lemma	PROPN
ejpam-6311	236	10	3	3	NUM
ejpam-6311	236	11	.	.	PUNCT
ejpam-6311	236	12	subsequently	subsequently	ADV
ejpam-6311	236	13	,	,	PUNCT
ejpam-6311	236	14	after	after	ADP
ejpam-6311	236	15	replacing	replace	VERB
ejpam-6311	236	16	certain	certain	ADJ
ejpam-6311	236	17	assumptions	assumption	NOUN
ejpam-6311	236	18	,	,	PUNCT
ejpam-6311	236	19	we	we	PRON
ejpam-6311	236	20	present	present	VERB
ejpam-6311	236	21	the	the	DET
ejpam-6311	236	22	following	follow	VERB
ejpam-6311	236	23	lemma	lemma	PROPN
ejpam-6311	236	24	.	.	PUNCT
ejpam-6311	237	1	lemma	lemma	PROPN
ejpam-6311	237	2	5	5	NUM
ejpam-6311	237	3	.	.	PUNCT
ejpam-6311	237	4	assume	assume	VERB
ejpam-6311	237	5	that	that	SCONJ
ejpam-6311	237	6	for	for	ADP
ejpam-6311	237	7	all	all	DET
ejpam-6311	237	8	i	i	PRON
ejpam-6311	237	9	=	=	NOUN
ejpam-6311	237	10	1	1	NUM
ejpam-6311	237	11	,	,	PUNCT
ejpam-6311	237	12	2	2	NUM
ejpam-6311	237	13	,	,	PUNCT
ejpam-6311	237	14	.	.	PUNCT
ejpam-6311	237	15	.	.	PUNCT
ejpam-6311	238	1	.	.	PUNCT
ejpam-6311	239	1	,	,	PUNCT
ejpam-6311	239	2	n	n	X
ejpam-6311	239	3	,	,	PUNCT
ejpam-6311	239	4	the	the	DET
ejpam-6311	239	5	following	follow	VERB
ejpam-6311	239	6	conditions	condition	NOUN
ejpam-6311	239	7	are	be	AUX
ejpam-6311	239	8	met	meet	VERB
ejpam-6311	239	9	:	:	PUNCT
ejpam-6311	239	10	(	(	PUNCT
ejpam-6311	239	11	i	i	NOUN
ejpam-6311	239	12	)	)	PUNCT
ejpam-6311	239	13	∞∑	∞∑	NUM
ejpam-6311	239	14	n=1	n=1	PROPN
ejpam-6311	239	15	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	239	16	−	−	PROPN
ejpam-6311	239	17	xn−1∥	xn−1∥	PROPN
ejpam-6311	239	18	<	<	X
ejpam-6311	239	19	∞	∞	PROPN
ejpam-6311	239	20	;	;	PUNCT
ejpam-6311	239	21	(	(	PUNCT
ejpam-6311	239	22	ii	ii	NOUN
ejpam-6311	239	23	)	)	PUNCT
ejpam-6311	239	24	(	(	PUNCT
ejpam-6311	239	25	dn	dn	INTJ
ejpam-6311	239	26	,	,	PUNCT
ejpam-6311	239	27	x	x	NOUN
ejpam-6311	239	28	∗	∗	NOUN
ejpam-6311	239	29	)	)	PUNCT
ejpam-6311	239	30	,	,	PUNCT
ejpam-6311	239	31	(	(	PUNCT
ejpam-6311	239	32	x∗	x∗	PROPN
ejpam-6311	239	33	,	,	PUNCT
ejpam-6311	239	34	dn	dn	NOUN
ejpam-6311	239	35	)	)	PUNCT
ejpam-6311	239	36	∈	∈	PROPN
ejpam-6311	239	37	e(g	e(g	PROPN
ejpam-6311	239	38	)	)	PUNCT
ejpam-6311	239	39	for	for	ADP
ejpam-6311	239	40	all	all	DET
ejpam-6311	239	41	x∗	x∗	PROPN
ejpam-6311	239	42	∈	∈	PROPN
ejpam-6311	240	1	f	f	X
ejpam-6311	240	2	;	;	PUNCT
ejpam-6311	240	3	(	(	PUNCT
ejpam-6311	240	4	iii	iii	NOUN
ejpam-6311	240	5	)	)	PUNCT
ejpam-6311	240	6	0	0	PUNCT
ejpam-6311	240	7	<	<	X
ejpam-6311	240	8	lim	lim	PROPN
ejpam-6311	240	9	inf	inf	PROPN
ejpam-6311	240	10	n→∞	n→∞	X
ejpam-6311	240	11	µi	µi	PROPN
ejpam-6311	240	12	n	n	CCONJ
ejpam-6311	240	13	≤	≤	NOUN
ejpam-6311	240	14	lim	lim	PROPN
ejpam-6311	240	15	sup	sup	VERB
ejpam-6311	240	16	n→∞	n→∞	PRON
ejpam-6311	241	1	µi	µi	ADP
ejpam-6311	241	2	n	n	X
ejpam-6311	241	3	<	<	X
ejpam-6311	241	4	1	1	NUM
ejpam-6311	241	5	;	;	PUNCT
ejpam-6311	241	6	(	(	PUNCT
ejpam-6311	241	7	iv	iv	X
ejpam-6311	241	8	)	)	PUNCT
ejpam-6311	241	9	lim	lim	PROPN
ejpam-6311	241	10	inf	inf	PROPN
ejpam-6311	241	11	n→∞	n→∞	NUM
ejpam-6311	241	12	ηin	ηin	PROPN
ejpam-6311	241	13	>	>	X
ejpam-6311	241	14	0	0	PUNCT
ejpam-6311	242	1	and	and	CCONJ
ejpam-6311	242	2	lim	lim	PROPN
ejpam-6311	242	3	sup	sup	PROPN
ejpam-6311	242	4	n→∞	n→∞	PRON
ejpam-6311	243	1	σi	σi	NOUN
ejpam-6311	243	2	n	n	CCONJ
ejpam-6311	243	3	<	<	X
ejpam-6311	243	4	1	1	NUM
ejpam-6311	243	5	;	;	PUNCT
ejpam-6311	243	6	(	(	PUNCT
ejpam-6311	243	7	v	v	NOUN
ejpam-6311	243	8	)	)	PUNCT
ejpam-6311	243	9	g	g	NOUN
ejpam-6311	243	10	is	be	AUX
ejpam-6311	243	11	transitive	transitive	ADJ
ejpam-6311	243	12	.	.	PUNCT
ejpam-6311	244	1	then	then	ADV
ejpam-6311	244	2	,	,	PUNCT
ejpam-6311	244	3	lim	lim	PROPN
ejpam-6311	244	4	n→∞	n→∞	X
ejpam-6311	244	5	∥dn	∥dn	CCONJ
ejpam-6311	245	1	−	−	NOUN
ejpam-6311	245	2	jidn∥	jidn∥	NOUN
ejpam-6311	246	1	=	=	NOUN
ejpam-6311	246	2	0	0	NUM
ejpam-6311	246	3	for	for	ADP
ejpam-6311	246	4	all	all	DET
ejpam-6311	246	5	i	i	PRON
ejpam-6311	246	6	=	=	NOUN
ejpam-6311	246	7	1	1	NUM
ejpam-6311	246	8	,	,	PUNCT
ejpam-6311	246	9	2	2	NUM
ejpam-6311	246	10	,	,	PUNCT
ejpam-6311	246	11	.	.	PUNCT
ejpam-6311	246	12	.	.	PUNCT
ejpam-6311	247	1	.	.	PUNCT
ejpam-6311	248	1	,	,	PUNCT
ejpam-6311	248	2	n	n	X
ejpam-6311	248	3	.	.	PUNCT
ejpam-6311	249	1	proof	proof	NOUN
ejpam-6311	249	2	.	.	PUNCT
ejpam-6311	250	1	let	let	VERB
ejpam-6311	250	2	x∗	x∗	PROPN
ejpam-6311	250	3	∈	∈	PROPN
ejpam-6311	250	4	f.	f.	PROPN
ejpam-6311	250	5	it	it	PRON
ejpam-6311	250	6	follows	follow	VERB
ejpam-6311	250	7	from	from	ADP
ejpam-6311	250	8	(	(	PUNCT
ejpam-6311	250	9	6	6	NUM
ejpam-6311	250	10	)	)	PUNCT
ejpam-6311	250	11	that	that	PRON
ejpam-6311	250	12	∥ain	∥ain	VERB
ejpam-6311	250	13	−	−	PROPN
ejpam-6311	250	14	x∗∥2	x∗∥2	NOUN
ejpam-6311	250	15	≤	≤	PROPN
ejpam-6311	250	16	∥xn	∥xn	PROPN
ejpam-6311	250	17	−	−	PROPN
ejpam-6311	250	18	x∗∥2	x∗∥2	NOUN
ejpam-6311	251	1	+	+	CCONJ
ejpam-6311	251	2	2|βn|∥xn	2|βn|∥xn	NOUN
ejpam-6311	252	1	−	−	X
ejpam-6311	253	1	xn−1∥∥dn	xn−1∥∥dn	INTJ
ejpam-6311	253	2	−	−	PROPN
ejpam-6311	254	1	x∗∥	x∗∥	PROPN
ejpam-6311	254	2	−	−	PROPN
ejpam-6311	255	1	(	(	PUNCT
ejpam-6311	255	2	1−	1−	NUM
ejpam-6311	255	3	σi	σi	NOUN
ejpam-6311	255	4	n)η	n)η	ADV
ejpam-6311	255	5	i	i	PRON
ejpam-6311	255	6	n(1−	n(1−	PROPN
ejpam-6311	255	7	µi	µi	INTJ
ejpam-6311	255	8	n)µ	n)µ	X
ejpam-6311	255	9	i	i	PRON
ejpam-6311	255	10	n∥dn	n∥dn	PROPN
ejpam-6311	255	11	−	−	PROPN
ejpam-6311	255	12	jidn∥2	jidn∥2	PROPN
ejpam-6311	255	13	.	.	PROPN
ejpam-6311	256	1	based	base	VERB
ejpam-6311	256	2	on	on	ADP
ejpam-6311	256	3	this	this	PRON
ejpam-6311	256	4	,	,	PUNCT
ejpam-6311	256	5	we	we	PRON
ejpam-6311	256	6	observe	observe	VERB
ejpam-6311	256	7	that	that	SCONJ
ejpam-6311	256	8	(	(	PUNCT
ejpam-6311	256	9	1−	1−	NUM
ejpam-6311	256	10	σin	σin	NOUN
ejpam-6311	256	11	n	n	CCONJ
ejpam-6311	256	12	)	)	PUNCT
ejpam-6311	256	13	ηinn	ηinn	NOUN
ejpam-6311	256	14	(	(	PUNCT
ejpam-6311	256	15	1−	1−	NUM
ejpam-6311	256	16	µin	µin	NOUN
ejpam-6311	256	17	n	n	CCONJ
ejpam-6311	256	18	)	)	PUNCT
ejpam-6311	256	19	µin	µin	NOUN
ejpam-6311	256	20	n	n	NOUN
ejpam-6311	256	21	∥dn	∥dn	CCONJ
ejpam-6311	256	22	−	−	PROPN
ejpam-6311	256	23	jindn∥2	jindn∥2	PROPN
ejpam-6311	256	24	≤	≤	NOUN
ejpam-6311	256	25	∥xn	∥xn	PROPN
ejpam-6311	256	26	−	−	PROPN
ejpam-6311	256	27	x∗∥2	x∗∥2	PROPN
ejpam-6311	256	28	−	−	PROPN
ejpam-6311	256	29	∥xn+1	∥xn+1	PROPN
ejpam-6311	256	30	−	−	PROPN
ejpam-6311	256	31	x∗∥2	x∗∥2	NOUN
ejpam-6311	256	32	+	+	CCONJ
ejpam-6311	256	33	2|βn|∥xn	2|βn|∥xn	NOUN
ejpam-6311	257	1	−	−	ADP
ejpam-6311	257	2	xn−1∥∥dn	xn−1∥∥dn	X
ejpam-6311	258	1	−	−	PROPN
ejpam-6311	258	2	x∗∥.	x∗∥.	X
ejpam-6311	259	1	this	this	PRON
ejpam-6311	259	2	leads	lead	VERB
ejpam-6311	259	3	to	to	ADP
ejpam-6311	259	4	the	the	DET
ejpam-6311	259	5	conclusion	conclusion	NOUN
ejpam-6311	259	6	that	that	SCONJ
ejpam-6311	259	7	lim	lim	PROPN
ejpam-6311	259	8	n→∞	n→∞	X
ejpam-6311	259	9	∥dn	∥dn	CCONJ
ejpam-6311	259	10	−	−	NOUN
ejpam-6311	259	11	jindn∥	jindn∥	NOUN
ejpam-6311	259	12	=	=	NOUN
ejpam-6311	260	1	0	0	X
ejpam-6311	260	2	.	.	PUNCT
ejpam-6311	261	1	next	next	ADV
ejpam-6311	261	2	,	,	PUNCT
ejpam-6311	261	3	by	by	ADP
ejpam-6311	261	4	(	(	PUNCT
ejpam-6311	261	5	8)	8)	NUM
ejpam-6311	261	6	,	,	PUNCT
ejpam-6311	261	7	we	we	PRON
ejpam-6311	261	8	have	have	VERB
ejpam-6311	261	9	that	that	DET
ejpam-6311	261	10	∥xn+1	∥xn+1	NOUN
ejpam-6311	261	11	−	−	PROPN
ejpam-6311	262	1	dn∥	dn∥	PROPN
ejpam-6311	262	2	≤	≤	NUM
ejpam-6311	262	3	(	(	PUNCT
ejpam-6311	262	4	{	{	PUNCT
ejpam-6311	262	5	(	(	PUNCT
ejpam-6311	262	6	1−	1−	NUM
ejpam-6311	262	7	σin	σin	NOUN
ejpam-6311	262	8	n	n	CCONJ
ejpam-6311	262	9	)	)	PUNCT
ejpam-6311	262	10	ηinn	ηinn	NOUN
ejpam-6311	262	11	+	+	CCONJ
ejpam-6311	262	12	σin	σin	ADJ
ejpam-6311	262	13	n	n	CCONJ
ejpam-6311	262	14	}	}	PUNCT
ejpam-6311	262	15	µin	µin	NOUN
ejpam-6311	262	16	n	n	NOUN
ejpam-6311	262	17	+	+	CCONJ
ejpam-6311	262	18	(	(	PUNCT
ejpam-6311	262	19	2−	2−	NUM
ejpam-6311	262	20	σin	σin	NOUN
ejpam-6311	262	21	n	n	PROPN
ejpam-6311	262	22	)	)	PUNCT
ejpam-6311	262	23	)	)	PUNCT
ejpam-6311	263	1	∥jindn	∥jindn	ADJ
ejpam-6311	263	2	−	−	PROPN
ejpam-6311	263	3	dn∥.	dn∥.	PROPN
ejpam-6311	263	4	s.	s.	PROPN
ejpam-6311	263	5	panma	panma	PROPN
ejpam-6311	263	6	,	,	PUNCT
ejpam-6311	263	7	r.	r.	PROPN
ejpam-6311	263	8	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	263	9	,	,	PUNCT
ejpam-6311	263	10	t.	t.	NOUN
ejpam-6311	263	11	chaobankoh	chaobankoh	PROPN
ejpam-6311	263	12	/	/	SYM
ejpam-6311	263	13	eur	eur	PROPN
ejpam-6311	263	14	.	.	PUNCT
ejpam-6311	264	1	j.	j.	PROPN
ejpam-6311	264	2	pure	pure	PROPN
ejpam-6311	264	3	appl	appl	PROPN
ejpam-6311	264	4	.	.	PROPN
ejpam-6311	264	5	math	math	PROPN
ejpam-6311	264	6	,	,	PUNCT
ejpam-6311	264	7	18	18	NUM
ejpam-6311	264	8	(	(	PUNCT
ejpam-6311	264	9	3	3	NUM
ejpam-6311	264	10	)	)	PUNCT
ejpam-6311	264	11	(	(	PUNCT
ejpam-6311	264	12	2025	2025	NUM
ejpam-6311	264	13	)	)	PUNCT
ejpam-6311	264	14	,	,	PUNCT
ejpam-6311	264	15	6311	6311	NUM
ejpam-6311	264	16	9	9	NUM
ejpam-6311	264	17	of	of	ADP
ejpam-6311	264	18	20	20	NUM
ejpam-6311	264	19	accordingly	accordingly	ADV
ejpam-6311	264	20	,	,	PUNCT
ejpam-6311	264	21	lim	lim	PROPN
ejpam-6311	264	22	n→∞	n→∞	NUM
ejpam-6311	264	23	∥ain	∥ain	VERB
ejpam-6311	264	24	−	−	PROPN
ejpam-6311	265	1	dn∥	dn∥	PROPN
ejpam-6311	265	2	=	=	PUNCT
ejpam-6311	265	3	0	0	PROPN
ejpam-6311	265	4	for	for	ADP
ejpam-6311	265	5	all	all	DET
ejpam-6311	265	6	i	i	PRON
ejpam-6311	265	7	=	=	NOUN
ejpam-6311	265	8	1	1	NUM
ejpam-6311	265	9	,	,	PUNCT
ejpam-6311	265	10	2	2	NUM
ejpam-6311	265	11	,	,	PUNCT
ejpam-6311	265	12	.	.	PUNCT
ejpam-6311	265	13	.	.	PUNCT
ejpam-6311	265	14	.	.	PUNCT
ejpam-6311	266	1	,	,	PUNCT
ejpam-6311	266	2	n.	n.	NOUN
ejpam-6311	266	3	by	by	ADP
ejpam-6311	266	4	(	(	PUNCT
ejpam-6311	266	5	5	5	NUM
ejpam-6311	266	6	)	)	PUNCT
ejpam-6311	266	7	,	,	PUNCT
ejpam-6311	266	8	we	we	PRON
ejpam-6311	266	9	establish	establish	VERB
ejpam-6311	266	10	the	the	DET
ejpam-6311	266	11	existence	existence	NOUN
ejpam-6311	266	12	of	of	ADP
ejpam-6311	266	13	a	a	DET
ejpam-6311	266	14	positive	positive	ADJ
ejpam-6311	266	15	constant	constant	ADJ
ejpam-6311	266	16	d	d	NOUN
ejpam-6311	266	17	>	>	X
ejpam-6311	266	18	0	0	NUM
ejpam-6311	266	19	such	such	ADJ
ejpam-6311	266	20	that	that	SCONJ
ejpam-6311	266	21	(	(	PUNCT
ejpam-6311	266	22	1−	1−	NUM
ejpam-6311	266	23	σi	σi	NOUN
ejpam-6311	266	24	n)η	n)η	ADV
ejpam-6311	267	1	i	i	PRON
ejpam-6311	267	2	n(1−	n(1−	PROPN
ejpam-6311	268	1	µi	µi	INTJ
ejpam-6311	268	2	n)µ	n)µ	X
ejpam-6311	269	1	i	i	PRON
ejpam-6311	269	2	n∥dn	n∥dn	PROPN
ejpam-6311	269	3	−	−	PROPN
ejpam-6311	269	4	jidn∥2	jidn∥2	PROPN
ejpam-6311	269	5	≤	≤	ADJ
ejpam-6311	269	6	∥dn	∥dn	CCONJ
ejpam-6311	269	7	−	−	PROPN
ejpam-6311	269	8	x∗∥2	x∗∥2	NOUN
ejpam-6311	269	9	−	−	PROPN
ejpam-6311	269	10	∥ain	∥ain	VERB
ejpam-6311	269	11	−	−	PROPN
ejpam-6311	269	12	x∗∥2	x∗∥2	NOUN
ejpam-6311	269	13	−	−	PROPN
ejpam-6311	270	1	σi	σi	ADP
ejpam-6311	270	2	n(1−	n(1−	PROPN
ejpam-6311	270	3	µi	µi	INTJ
ejpam-6311	270	4	n)µ	n)µ	PUNCT
ejpam-6311	271	1	i	i	PRON
ejpam-6311	271	2	n∥dn	n∥dn	PROPN
ejpam-6311	272	1	−	−	PROPN
ejpam-6311	272	2	jidn∥2	jidn∥2	PROPN
ejpam-6311	272	3	≤	≤	ADV
ejpam-6311	272	4	d(∥dn	d(∥dn	PROPN
ejpam-6311	272	5	−	−	PROPN
ejpam-6311	273	1	x∗∥	x∗∥	PROPN
ejpam-6311	273	2	−	−	PROPN
ejpam-6311	273	3	∥ain	∥ain	VERB
ejpam-6311	273	4	−	−	PROPN
ejpam-6311	273	5	x∗∥	x∗∥	PROPN
ejpam-6311	273	6	)	)	PUNCT
ejpam-6311	273	7	≤	≤	PUNCT
ejpam-6311	274	1	d∥dn	d∥dn	ADJ
ejpam-6311	274	2	−	−	PROPN
ejpam-6311	274	3	ain∥.	ain∥.	ADP
ejpam-6311	274	4	this	this	PRON
ejpam-6311	274	5	concludes	conclude	VERB
ejpam-6311	274	6	the	the	DET
ejpam-6311	274	7	proof	proof	NOUN
ejpam-6311	274	8	,	,	PUNCT
ejpam-6311	274	9	as	as	SCONJ
ejpam-6311	274	10	we	we	PRON
ejpam-6311	274	11	have	have	AUX
ejpam-6311	274	12	shown	show	VERB
ejpam-6311	274	13	that	that	SCONJ
ejpam-6311	274	14	lim	lim	PROPN
ejpam-6311	274	15	n→∞	n→∞	X
ejpam-6311	274	16	∥dn	∥dn	CCONJ
ejpam-6311	274	17	−	−	NOUN
ejpam-6311	274	18	jidn∥	jidn∥	NOUN
ejpam-6311	275	1	=	=	NOUN
ejpam-6311	275	2	0	0	PUNCT
ejpam-6311	276	1	(	(	PUNCT
ejpam-6311	276	2	9	9	NUM
ejpam-6311	276	3	)	)	PUNCT
ejpam-6311	276	4	for	for	ADP
ejpam-6311	276	5	all	all	DET
ejpam-6311	276	6	i	i	PRON
ejpam-6311	276	7	=	=	NOUN
ejpam-6311	276	8	1	1	NUM
ejpam-6311	276	9	,	,	PUNCT
ejpam-6311	276	10	2	2	NUM
ejpam-6311	276	11	,	,	PUNCT
ejpam-6311	276	12	.	.	PUNCT
ejpam-6311	276	13	.	.	PUNCT
ejpam-6311	277	1	.	.	PUNCT
ejpam-6311	278	1	,	,	PUNCT
ejpam-6311	278	2	n	n	X
ejpam-6311	278	3	.	.	PUNCT
ejpam-6311	279	1	applying	apply	VERB
ejpam-6311	279	2	designated	designate	VERB
ejpam-6311	279	3	modifications	modification	NOUN
ejpam-6311	279	4	,	,	PUNCT
ejpam-6311	279	5	we	we	PRON
ejpam-6311	279	6	procure	procure	VERB
ejpam-6311	279	7	the	the	DET
ejpam-6311	279	8	ensuing	ensue	VERB
ejpam-6311	279	9	lemmas	lemma	NOUN
ejpam-6311	279	10	,	,	PUNCT
ejpam-6311	279	11	which	which	PRON
ejpam-6311	279	12	are	be	AUX
ejpam-6311	279	13	requisite	requisite	ADJ
ejpam-6311	279	14	for	for	ADP
ejpam-6311	279	15	the	the	DET
ejpam-6311	279	16	proof	proof	NOUN
ejpam-6311	279	17	of	of	ADP
ejpam-6311	279	18	a	a	DET
ejpam-6311	279	19	subsequent	subsequent	ADJ
ejpam-6311	279	20	theorem	theorem	NOUN
ejpam-6311	279	21	.	.	PUNCT
ejpam-6311	280	1	lemma	lemma	PROPN
ejpam-6311	280	2	6	6	NUM
ejpam-6311	280	3	.	.	PUNCT
ejpam-6311	280	4	assume	assume	VERB
ejpam-6311	280	5	that	that	SCONJ
ejpam-6311	280	6	for	for	ADP
ejpam-6311	280	7	all	all	DET
ejpam-6311	280	8	i	i	PRON
ejpam-6311	280	9	=	=	NOUN
ejpam-6311	280	10	1	1	NUM
ejpam-6311	280	11	,	,	PUNCT
ejpam-6311	280	12	2	2	NUM
ejpam-6311	280	13	,	,	PUNCT
ejpam-6311	280	14	.	.	PUNCT
ejpam-6311	280	15	.	.	PUNCT
ejpam-6311	281	1	.	.	PUNCT
ejpam-6311	282	1	,	,	PUNCT
ejpam-6311	282	2	n	n	X
ejpam-6311	282	3	,	,	PUNCT
ejpam-6311	282	4	the	the	DET
ejpam-6311	282	5	following	follow	VERB
ejpam-6311	282	6	conditions	condition	NOUN
ejpam-6311	282	7	are	be	AUX
ejpam-6311	282	8	met	meet	VERB
ejpam-6311	282	9	:	:	PUNCT
ejpam-6311	282	10	(	(	PUNCT
ejpam-6311	282	11	i	i	NOUN
ejpam-6311	282	12	)	)	PUNCT
ejpam-6311	282	13	∞∑	∞∑	NUM
ejpam-6311	282	14	n=1	n=1	PROPN
ejpam-6311	282	15	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	282	16	−	−	PROPN
ejpam-6311	282	17	xn−1∥	xn−1∥	PROPN
ejpam-6311	282	18	<	<	X
ejpam-6311	282	19	∞	∞	PROPN
ejpam-6311	282	20	;	;	PUNCT
ejpam-6311	282	21	(	(	PUNCT
ejpam-6311	282	22	ii	ii	NOUN
ejpam-6311	282	23	)	)	PUNCT
ejpam-6311	282	24	(	(	PUNCT
ejpam-6311	282	25	dn	dn	INTJ
ejpam-6311	282	26	,	,	PUNCT
ejpam-6311	282	27	x	x	NOUN
ejpam-6311	282	28	∗	∗	NOUN
ejpam-6311	282	29	)	)	PUNCT
ejpam-6311	282	30	,	,	PUNCT
ejpam-6311	282	31	(	(	PUNCT
ejpam-6311	282	32	cin	cin	PROPN
ejpam-6311	282	33	,	,	PUNCT
ejpam-6311	282	34	dn	dn	PROPN
ejpam-6311	282	35	)	)	PUNCT
ejpam-6311	282	36	and	and	CCONJ
ejpam-6311	282	37	(	(	PUNCT
ejpam-6311	282	38	bin	bin	NOUN
ejpam-6311	282	39	,	,	PUNCT
ejpam-6311	282	40	dn	dn	PROPN
ejpam-6311	282	41	)	)	PUNCT
ejpam-6311	282	42	∈	∈	PROPN
ejpam-6311	282	43	e(g	e(g	PROPN
ejpam-6311	282	44	)	)	PUNCT
ejpam-6311	282	45	for	for	ADP
ejpam-6311	282	46	all	all	DET
ejpam-6311	282	47	x∗	x∗	PROPN
ejpam-6311	282	48	∈	∈	PROPN
ejpam-6311	283	1	f	f	X
ejpam-6311	283	2	;	;	PUNCT
ejpam-6311	283	3	(	(	PUNCT
ejpam-6311	283	4	iii	iii	NOUN
ejpam-6311	283	5	)	)	PUNCT
ejpam-6311	283	6	0	0	PUNCT
ejpam-6311	283	7	<	<	X
ejpam-6311	283	8	lim	lim	PROPN
ejpam-6311	283	9	inf	inf	PROPN
ejpam-6311	283	10	n→∞	n→∞	X
ejpam-6311	283	11	µi	µi	PROPN
ejpam-6311	283	12	n	n	CCONJ
ejpam-6311	283	13	≤	≤	NOUN
ejpam-6311	283	14	lim	lim	PROPN
ejpam-6311	283	15	sup	sup	VERB
ejpam-6311	283	16	n→∞	n→∞	PRON
ejpam-6311	284	1	µi	µi	ADP
ejpam-6311	284	2	n	n	X
ejpam-6311	284	3	<	<	X
ejpam-6311	284	4	1	1	NUM
ejpam-6311	284	5	;	;	PUNCT
ejpam-6311	284	6	(	(	PUNCT
ejpam-6311	284	7	iv	iv	X
ejpam-6311	284	8	)	)	PUNCT
ejpam-6311	284	9	lim	lim	PROPN
ejpam-6311	284	10	inf	inf	PROPN
ejpam-6311	284	11	n→∞	n→∞	NUM
ejpam-6311	284	12	ηin	ηin	PROPN
ejpam-6311	284	13	>	>	X
ejpam-6311	284	14	0	0	PUNCT
ejpam-6311	285	1	and	and	CCONJ
ejpam-6311	285	2	lim	lim	PROPN
ejpam-6311	285	3	sup	sup	PROPN
ejpam-6311	285	4	n→∞	n→∞	PRON
ejpam-6311	286	1	σi	σi	NOUN
ejpam-6311	286	2	n	n	CCONJ
ejpam-6311	286	3	<	<	X
ejpam-6311	286	4	1	1	NUM
ejpam-6311	286	5	.	.	PUNCT
ejpam-6311	287	1	then	then	ADV
ejpam-6311	287	2	,	,	PUNCT
ejpam-6311	287	3	lim	lim	PROPN
ejpam-6311	287	4	n→∞	n→∞	X
ejpam-6311	287	5	∥dn	∥dn	CCONJ
ejpam-6311	288	1	−	−	NOUN
ejpam-6311	288	2	jidn∥	jidn∥	NOUN
ejpam-6311	289	1	=	=	NOUN
ejpam-6311	289	2	0	0	NUM
ejpam-6311	289	3	for	for	ADP
ejpam-6311	289	4	all	all	DET
ejpam-6311	289	5	i	i	PRON
ejpam-6311	289	6	=	=	NOUN
ejpam-6311	289	7	1	1	NUM
ejpam-6311	289	8	,	,	PUNCT
ejpam-6311	289	9	2	2	NUM
ejpam-6311	289	10	,	,	PUNCT
ejpam-6311	289	11	.	.	PUNCT
ejpam-6311	289	12	.	.	PUNCT
ejpam-6311	290	1	.	.	PUNCT
ejpam-6311	291	1	,	,	PUNCT
ejpam-6311	291	2	n	n	X
ejpam-6311	291	3	.	.	PUNCT
ejpam-6311	292	1	proof	proof	NOUN
ejpam-6311	292	2	.	.	PUNCT
ejpam-6311	293	1	conditions	condition	NOUN
ejpam-6311	293	2	(	(	PUNCT
ejpam-6311	293	3	ii	ii	NOUN
ejpam-6311	293	4	)	)	PUNCT
ejpam-6311	293	5	and	and	CCONJ
ejpam-6311	293	6	(	(	PUNCT
ejpam-6311	293	7	iv	iv	X
ejpam-6311	293	8	)	)	PUNCT
ejpam-6311	293	9	of	of	ADP
ejpam-6311	293	10	lemma	lemma	PROPN
ejpam-6311	293	11	5	5	NUM
ejpam-6311	293	12	can	can	AUX
ejpam-6311	293	13	be	be	AUX
ejpam-6311	293	14	replaced	replace	VERB
ejpam-6311	293	15	by	by	ADP
ejpam-6311	293	16	condition	condition	NOUN
ejpam-6311	293	17	(	(	PUNCT
ejpam-6311	293	18	ii	ii	NOUN
ejpam-6311	293	19	)	)	PUNCT
ejpam-6311	293	20	of	of	ADP
ejpam-6311	293	21	lemma	lemma	PROPN
ejpam-6311	293	22	6	6	NUM
ejpam-6311	293	23	,	,	PUNCT
ejpam-6311	293	24	and	and	CCONJ
ejpam-6311	293	25	the	the	DET
ejpam-6311	293	26	proof	proof	NOUN
ejpam-6311	293	27	remains	remain	VERB
ejpam-6311	293	28	valid	valid	ADJ
ejpam-6311	293	29	.	.	PUNCT
ejpam-6311	294	1	lemma	lemma	PROPN
ejpam-6311	294	2	7	7	X
ejpam-6311	294	3	.	.	PROPN
ejpam-6311	294	4	assume	assume	VERB
ejpam-6311	294	5	that	that	SCONJ
ejpam-6311	294	6	for	for	ADP
ejpam-6311	294	7	all	all	DET
ejpam-6311	294	8	i	i	PRON
ejpam-6311	294	9	=	=	NOUN
ejpam-6311	294	10	1	1	NUM
ejpam-6311	294	11	,	,	PUNCT
ejpam-6311	294	12	2	2	NUM
ejpam-6311	294	13	,	,	PUNCT
ejpam-6311	294	14	.	.	PUNCT
ejpam-6311	294	15	.	.	PUNCT
ejpam-6311	295	1	.	.	PUNCT
ejpam-6311	296	1	,	,	PUNCT
ejpam-6311	296	2	n	n	X
ejpam-6311	296	3	,	,	PUNCT
ejpam-6311	296	4	the	the	DET
ejpam-6311	296	5	following	follow	VERB
ejpam-6311	296	6	conditions	condition	NOUN
ejpam-6311	296	7	are	be	AUX
ejpam-6311	296	8	met	meet	VERB
ejpam-6311	296	9	:	:	PUNCT
ejpam-6311	296	10	(	(	PUNCT
ejpam-6311	296	11	i	i	NOUN
ejpam-6311	296	12	)	)	PUNCT
ejpam-6311	296	13	∞∑	∞∑	NUM
ejpam-6311	296	14	n=1	n=1	PROPN
ejpam-6311	296	15	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	296	16	−	−	PROPN
ejpam-6311	296	17	xn−1∥	xn−1∥	PROPN
ejpam-6311	296	18	<	<	X
ejpam-6311	296	19	∞	∞	PROPN
ejpam-6311	296	20	;	;	PUNCT
ejpam-6311	296	21	(	(	PUNCT
ejpam-6311	296	22	ii	ii	NOUN
ejpam-6311	296	23	)	)	PUNCT
ejpam-6311	296	24	(	(	PUNCT
ejpam-6311	296	25	x∗	x∗	PROPN
ejpam-6311	296	26	,	,	PUNCT
ejpam-6311	296	27	dn	dn	NOUN
ejpam-6311	296	28	)	)	PUNCT
ejpam-6311	296	29	,	,	PUNCT
ejpam-6311	296	30	(	(	PUNCT
ejpam-6311	296	31	dn	dn	ADP
ejpam-6311	296	32	,	,	PUNCT
ejpam-6311	296	33	c	c	VERB
ejpam-6311	296	34	i	i	PRON
ejpam-6311	296	35	n	n	CCONJ
ejpam-6311	296	36	)	)	PUNCT
ejpam-6311	296	37	and	and	CCONJ
ejpam-6311	296	38	(	(	PUNCT
ejpam-6311	296	39	dn	dn	PROPN
ejpam-6311	296	40	,	,	PUNCT
ejpam-6311	296	41	b	b	NOUN
ejpam-6311	296	42	i	i	NOUN
ejpam-6311	296	43	n	n	CCONJ
ejpam-6311	296	44	)	)	PUNCT
ejpam-6311	296	45	∈	∈	PROPN
ejpam-6311	296	46	e(g	e(g	PROPN
ejpam-6311	296	47	)	)	PUNCT
ejpam-6311	296	48	for	for	ADP
ejpam-6311	296	49	all	all	DET
ejpam-6311	296	50	x∗	x∗	PROPN
ejpam-6311	296	51	∈	∈	PROPN
ejpam-6311	297	1	f	f	X
ejpam-6311	297	2	;	;	PUNCT
ejpam-6311	297	3	(	(	PUNCT
ejpam-6311	297	4	iii	iii	NOUN
ejpam-6311	297	5	)	)	PUNCT
ejpam-6311	297	6	0	0	PUNCT
ejpam-6311	297	7	<	<	X
ejpam-6311	297	8	lim	lim	PROPN
ejpam-6311	297	9	inf	inf	PROPN
ejpam-6311	297	10	n→∞	n→∞	X
ejpam-6311	297	11	µi	µi	PROPN
ejpam-6311	297	12	n	n	CCONJ
ejpam-6311	297	13	≤	≤	NOUN
ejpam-6311	297	14	lim	lim	PROPN
ejpam-6311	297	15	sup	sup	VERB
ejpam-6311	297	16	n→∞	n→∞	PRON
ejpam-6311	298	1	µi	µi	ADP
ejpam-6311	298	2	n	n	X
ejpam-6311	298	3	<	<	X
ejpam-6311	298	4	1	1	NUM
ejpam-6311	298	5	;	;	PUNCT
ejpam-6311	298	6	s.	s.	PROPN
ejpam-6311	298	7	panma	panma	PROPN
ejpam-6311	298	8	,	,	PUNCT
ejpam-6311	298	9	r.	r.	PROPN
ejpam-6311	298	10	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	298	11	,	,	PUNCT
ejpam-6311	298	12	t.	t.	NOUN
ejpam-6311	298	13	chaobankoh	chaobankoh	PROPN
ejpam-6311	298	14	/	/	SYM
ejpam-6311	298	15	eur	eur	PROPN
ejpam-6311	298	16	.	.	PUNCT
ejpam-6311	299	1	j.	j.	PROPN
ejpam-6311	299	2	pure	pure	PROPN
ejpam-6311	299	3	appl	appl	PROPN
ejpam-6311	299	4	.	.	PROPN
ejpam-6311	299	5	math	math	PROPN
ejpam-6311	299	6	,	,	PUNCT
ejpam-6311	299	7	18	18	NUM
ejpam-6311	299	8	(	(	PUNCT
ejpam-6311	299	9	3	3	NUM
ejpam-6311	299	10	)	)	PUNCT
ejpam-6311	299	11	(	(	PUNCT
ejpam-6311	299	12	2025	2025	NUM
ejpam-6311	299	13	)	)	PUNCT
ejpam-6311	299	14	,	,	PUNCT
ejpam-6311	299	15	6311	6311	NUM
ejpam-6311	299	16	10	10	NUM
ejpam-6311	299	17	of	of	ADP
ejpam-6311	299	18	20	20	NUM
ejpam-6311	299	19	(	(	PUNCT
ejpam-6311	299	20	iv	iv	X
ejpam-6311	299	21	)	)	PUNCT
ejpam-6311	299	22	either	either	CCONJ
ejpam-6311	299	23	lim	lim	PROPN
ejpam-6311	299	24	inf	inf	PROPN
ejpam-6311	299	25	n→∞	n→∞	X
ejpam-6311	299	26	σi	σi	NOUN
ejpam-6311	299	27	n	n	CCONJ
ejpam-6311	299	28	>	>	X
ejpam-6311	299	29	0	0	PUNCT
ejpam-6311	300	1	or	or	CCONJ
ejpam-6311	300	2	lim	lim	PROPN
ejpam-6311	300	3	inf	inf	PROPN
ejpam-6311	300	4	n→∞	n→∞	NUM
ejpam-6311	300	5	ηin	ηin	PROPN
ejpam-6311	300	6	>	>	X
ejpam-6311	300	7	0	0	PUNCT
ejpam-6311	301	1	and	and	CCONJ
ejpam-6311	301	2	lim	lim	PROPN
ejpam-6311	301	3	sup	sup	PROPN
ejpam-6311	301	4	n→∞	n→∞	PRON
ejpam-6311	302	1	σi	σi	NOUN
ejpam-6311	302	2	n	n	CCONJ
ejpam-6311	302	3	<	<	X
ejpam-6311	302	4	1	1	NUM
ejpam-6311	302	5	.	.	PUNCT
ejpam-6311	303	1	then	then	ADV
ejpam-6311	303	2	,	,	PUNCT
ejpam-6311	303	3	lim	lim	PROPN
ejpam-6311	303	4	n→∞	n→∞	X
ejpam-6311	303	5	∥dn	∥dn	CCONJ
ejpam-6311	304	1	−	−	NOUN
ejpam-6311	304	2	jidn∥	jidn∥	NOUN
ejpam-6311	305	1	=	=	NOUN
ejpam-6311	305	2	0	0	NUM
ejpam-6311	305	3	for	for	ADP
ejpam-6311	305	4	all	all	DET
ejpam-6311	305	5	i	i	PRON
ejpam-6311	305	6	=	=	NOUN
ejpam-6311	305	7	1	1	NUM
ejpam-6311	305	8	,	,	PUNCT
ejpam-6311	305	9	2	2	NUM
ejpam-6311	305	10	,	,	PUNCT
ejpam-6311	305	11	.	.	PUNCT
ejpam-6311	305	12	.	.	PUNCT
ejpam-6311	306	1	.	.	PUNCT
ejpam-6311	307	1	,	,	PUNCT
ejpam-6311	307	2	n	n	X
ejpam-6311	307	3	.	.	PUNCT
ejpam-6311	308	1	proof	proof	NOUN
ejpam-6311	308	2	.	.	PUNCT
ejpam-6311	309	1	the	the	DET
ejpam-6311	309	2	proof	proof	NOUN
ejpam-6311	309	3	of	of	ADP
ejpam-6311	309	4	lemma	lemma	PROPN
ejpam-6311	309	5	5	5	NUM
ejpam-6311	309	6	remains	remain	VERB
ejpam-6311	309	7	valid	valid	ADJ
ejpam-6311	309	8	when	when	SCONJ
ejpam-6311	309	9	its	its	PRON
ejpam-6311	309	10	conditions	condition	NOUN
ejpam-6311	309	11	(	(	PUNCT
ejpam-6311	309	12	ii	ii	NOUN
ejpam-6311	309	13	)	)	PUNCT
ejpam-6311	309	14	,	,	PUNCT
ejpam-6311	309	15	(	(	PUNCT
ejpam-6311	309	16	iv	iv	X
ejpam-6311	309	17	)	)	PUNCT
ejpam-6311	309	18	and	and	CCONJ
ejpam-6311	309	19	(	(	PUNCT
ejpam-6311	309	20	v	v	NOUN
ejpam-6311	309	21	)	)	PUNCT
ejpam-6311	309	22	are	be	AUX
ejpam-6311	309	23	substituted	substitute	VERB
ejpam-6311	309	24	with	with	ADP
ejpam-6311	309	25	conditions	condition	NOUN
ejpam-6311	309	26	(	(	PUNCT
ejpam-6311	309	27	ii	ii	NOUN
ejpam-6311	309	28	)	)	PUNCT
ejpam-6311	309	29	and	and	CCONJ
ejpam-6311	309	30	(	(	PUNCT
ejpam-6311	309	31	iv	iv	X
ejpam-6311	309	32	)	)	PUNCT
ejpam-6311	309	33	from	from	ADP
ejpam-6311	309	34	lemma	lemma	PROPN
ejpam-6311	309	35	7	7	X
ejpam-6311	309	36	.	.	X
ejpam-6311	310	1	building	build	VERB
ejpam-6311	310	2	upon	upon	SCONJ
ejpam-6311	310	3	the	the	DET
ejpam-6311	310	4	preceding	precede	VERB
ejpam-6311	310	5	lemmas	lemma	NOUN
ejpam-6311	310	6	,	,	PUNCT
ejpam-6311	310	7	we	we	PRON
ejpam-6311	310	8	are	be	AUX
ejpam-6311	310	9	now	now	ADV
ejpam-6311	310	10	ready	ready	ADJ
ejpam-6311	310	11	to	to	PART
ejpam-6311	310	12	present	present	VERB
ejpam-6311	310	13	our	our	PRON
ejpam-6311	310	14	main	main	ADJ
ejpam-6311	310	15	result	result	NOUN
ejpam-6311	310	16	,	,	PUNCT
ejpam-6311	310	17	which	which	PRON
ejpam-6311	310	18	establishes	establish	VERB
ejpam-6311	310	19	the	the	DET
ejpam-6311	310	20	convergence	convergence	NOUN
ejpam-6311	310	21	of	of	ADP
ejpam-6311	310	22	our	our	PRON
ejpam-6311	310	23	proposed	propose	VERB
ejpam-6311	310	24	algorithm	algorithm	NOUN
ejpam-6311	310	25	.	.	PUNCT
ejpam-6311	311	1	theorem	theorem	NOUN
ejpam-6311	311	2	1	1	NUM
ejpam-6311	311	3	.	.	PUNCT
ejpam-6311	311	4	suppose	suppose	VERB
ejpam-6311	311	5	the	the	DET
ejpam-6311	311	6	following	follow	VERB
ejpam-6311	311	7	hold	hold	NOUN
ejpam-6311	311	8	.	.	PUNCT
ejpam-6311	312	1	(	(	PUNCT
ejpam-6311	312	2	i	i	NOUN
ejpam-6311	312	3	)	)	PUNCT
ejpam-6311	312	4	all	all	DET
ejpam-6311	312	5	the	the	DET
ejpam-6311	312	6	conditions	condition	NOUN
ejpam-6311	312	7	in	in	ADP
ejpam-6311	312	8	lemma	lemma	PROPN
ejpam-6311	312	9	3	3	NUM
ejpam-6311	312	10	are	be	AUX
ejpam-6311	312	11	satisfied	satisfied	ADJ
ejpam-6311	312	12	.	.	PUNCT
ejpam-6311	313	1	(	(	PUNCT
ejpam-6311	313	2	ii	ii	NOUN
ejpam-6311	313	3	)	)	PUNCT
ejpam-6311	313	4	(	(	PUNCT
ejpam-6311	313	5	dnk	dnk	NOUN
ejpam-6311	313	6	,	,	PUNCT
ejpam-6311	313	7	u	u	NOUN
ejpam-6311	313	8	)	)	PUNCT
ejpam-6311	313	9	∈	∈	PROPN
ejpam-6311	313	10	e(g	e(g	PROPN
ejpam-6311	313	11	)	)	PUNCT
ejpam-6311	313	12	for	for	ADP
ejpam-6311	313	13	all	all	PRON
ejpam-6311	313	14	k	k	PROPN
ejpam-6311	313	15	whenever	whenever	SCONJ
ejpam-6311	313	16	{	{	PUNCT
ejpam-6311	313	17	dnk	dnk	NOUN
ejpam-6311	313	18	}	}	PUNCT
ejpam-6311	313	19	is	be	AUX
ejpam-6311	313	20	a	a	DET
ejpam-6311	313	21	subsequence	subsequence	NOUN
ejpam-6311	313	22	of	of	ADP
ejpam-6311	313	23	{	{	PUNCT
ejpam-6311	313	24	dn	dn	INTJ
ejpam-6311	313	25	}	}	PUNCT
ejpam-6311	313	26	such	such	ADJ
ejpam-6311	313	27	that	that	DET
ejpam-6311	313	28	dnk	dnk	NOUN
ejpam-6311	313	29	⇀	⇀	PUNCT
ejpam-6311	313	30	u	u	NOUN
ejpam-6311	313	31	for	for	ADP
ejpam-6311	313	32	some	some	DET
ejpam-6311	313	33	u	u	NOUN
ejpam-6311	313	34	∈	∈	NOUN
ejpam-6311	313	35	x.	x.	NOUN
ejpam-6311	313	36	then	then	ADV
ejpam-6311	313	37	,	,	PUNCT
ejpam-6311	313	38	the	the	DET
ejpam-6311	313	39	sequence	sequence	NOUN
ejpam-6311	313	40	{	{	PUNCT
ejpam-6311	313	41	xn	xn	NOUN
ejpam-6311	313	42	}	}	PUNCT
ejpam-6311	313	43	is	be	AUX
ejpam-6311	313	44	weakly	weakly	ADJ
ejpam-6311	313	45	convergent	convergent	NOUN
ejpam-6311	313	46	in	in	ADP
ejpam-6311	313	47	f.	f.	PROPN
ejpam-6311	313	48	proof	proof	PROPN
ejpam-6311	313	49	.	.	PUNCT
ejpam-6311	314	1	from	from	ADP
ejpam-6311	314	2	lemmas	lemmas	PROPN
ejpam-6311	314	3	2	2	NUM
ejpam-6311	314	4	and	and	CCONJ
ejpam-6311	314	5	3	3	NUM
ejpam-6311	314	6	,	,	PUNCT
ejpam-6311	314	7	{	{	PUNCT
ejpam-6311	314	8	∥xn	∥xn	NUM
ejpam-6311	314	9	−	−	PROPN
ejpam-6311	314	10	x∗∥	x∗∥	PROPN
ejpam-6311	314	11	}	}	PUNCT
ejpam-6311	314	12	converges	converge	VERB
ejpam-6311	314	13	for	for	ADP
ejpam-6311	314	14	all	all	DET
ejpam-6311	314	15	x∗	x∗	PROPN
ejpam-6311	314	16	∈	∈	PROPN
ejpam-6311	314	17	f	f	PROPN
ejpam-6311	314	18	and	and	CCONJ
ejpam-6311	314	19	lim	lim	PROPN
ejpam-6311	314	20	n→∞	n→∞	PROPN
ejpam-6311	314	21	∥dn	∥dn	CCONJ
ejpam-6311	314	22	−	−	NOUN
ejpam-6311	314	23	jidn∥	jidn∥	NOUN
ejpam-6311	315	1	=	=	NOUN
ejpam-6311	315	2	0	0	NUM
ejpam-6311	315	3	for	for	ADP
ejpam-6311	315	4	all	all	DET
ejpam-6311	315	5	i	i	PRON
ejpam-6311	315	6	=	=	NOUN
ejpam-6311	315	7	1	1	NUM
ejpam-6311	315	8	,	,	PUNCT
ejpam-6311	315	9	2	2	NUM
ejpam-6311	315	10	,	,	PUNCT
ejpam-6311	315	11	.	.	PUNCT
ejpam-6311	315	12	.	.	PUNCT
ejpam-6311	316	1	.	.	PUNCT
ejpam-6311	317	1	,	,	PUNCT
ejpam-6311	317	2	n	n	X
ejpam-6311	317	3	.	.	PUNCT
ejpam-6311	318	1	now	now	ADV
ejpam-6311	318	2	,	,	PUNCT
ejpam-6311	318	3	let	let	VERB
ejpam-6311	318	4	u	u	PRON
ejpam-6311	318	5	be	be	AUX
ejpam-6311	318	6	a	a	DET
ejpam-6311	318	7	weak	weak	ADJ
ejpam-6311	318	8	sequential	sequential	ADJ
ejpam-6311	318	9	cluster	cluster	NOUN
ejpam-6311	318	10	point	point	NOUN
ejpam-6311	318	11	of	of	ADP
ejpam-6311	318	12	{	{	PUNCT
ejpam-6311	318	13	xn	xn	NUM
ejpam-6311	318	14	}	}	PUNCT
ejpam-6311	318	15	.	.	PUNCT
ejpam-6311	319	1	it	it	PRON
ejpam-6311	319	2	follows	follow	VERB
ejpam-6311	319	3	that	that	SCONJ
ejpam-6311	319	4	there	there	PRON
ejpam-6311	319	5	exists	exist	VERB
ejpam-6311	319	6	a	a	DET
ejpam-6311	319	7	subsequence	subsequence	NOUN
ejpam-6311	319	8	{	{	PUNCT
ejpam-6311	319	9	xnk	xnk	PROPN
ejpam-6311	319	10	}	}	PUNCT
ejpam-6311	320	1	such	such	ADJ
ejpam-6311	320	2	that	that	SCONJ
ejpam-6311	320	3	xnk	xnk	PROPN
ejpam-6311	320	4	⇀	⇀	PROPN
ejpam-6311	320	5	u.	u.	ADV
ejpam-6311	320	6	from	from	ADP
ejpam-6311	320	7	condition	condition	NOUN
ejpam-6311	320	8	(	(	PUNCT
ejpam-6311	320	9	i	i	NOUN
ejpam-6311	320	10	)	)	PUNCT
ejpam-6311	320	11	,	,	PUNCT
ejpam-6311	320	12	we	we	PRON
ejpam-6311	320	13	have	have	VERB
ejpam-6311	320	14	that	that	DET
ejpam-6311	320	15	∥dn	∥dn	PROPN
ejpam-6311	320	16	−	−	PROPN
ejpam-6311	320	17	xn∥	xn∥	PROPN
ejpam-6311	320	18	=	=	PUNCT
ejpam-6311	320	19	∥xn	∥xn	PROPN
ejpam-6311	321	1	+	+	X
ejpam-6311	321	2	βn(xn	βn(xn	PROPN
ejpam-6311	322	1	−	−	PROPN
ejpam-6311	322	2	xn−1)−	xn−1)−	PROPN
ejpam-6311	323	1	xn∥	xn∥	PROPN
ejpam-6311	323	2	=	=	PROPN
ejpam-6311	323	3	|βn|∥xn	|βn|∥xn	PROPN
ejpam-6311	323	4	−	−	PROPN
ejpam-6311	324	1	xn−1∥.	xn−1∥.	PROPN
ejpam-6311	324	2	taking	take	VERB
ejpam-6311	324	3	n	n	PRON
ejpam-6311	324	4	→	→	SYM
ejpam-6311	324	5	∞	∞	PROPN
ejpam-6311	324	6	,	,	PUNCT
ejpam-6311	324	7	we	we	PRON
ejpam-6311	324	8	have	have	VERB
ejpam-6311	324	9	that	that	PRON
ejpam-6311	324	10	{	{	PUNCT
ejpam-6311	324	11	∥dn	∥dn	PRON
ejpam-6311	324	12	−	−	PROPN
ejpam-6311	324	13	xn∥	xn∥	PROPN
ejpam-6311	324	14	}	}	PUNCT
ejpam-6311	324	15	converges	converge	VERB
ejpam-6311	324	16	to	to	ADP
ejpam-6311	324	17	0	0	NUM
ejpam-6311	324	18	.	.	PUNCT
ejpam-6311	325	1	this	this	PRON
ejpam-6311	325	2	means	mean	VERB
ejpam-6311	325	3	that	that	PRON
ejpam-6311	325	4	dnk	dnk	NOUN
ejpam-6311	325	5	⇀	⇀	X
ejpam-6311	325	6	u.	u.	VERB
ejpam-6311	325	7	then	then	ADV
ejpam-6311	325	8	,	,	PUNCT
ejpam-6311	325	9	assumption	assumption	NOUN
ejpam-6311	325	10	(	(	PUNCT
ejpam-6311	325	11	ii	ii	NOUN
ejpam-6311	325	12	)	)	PUNCT
ejpam-6311	325	13	implies	imply	VERB
ejpam-6311	325	14	that	that	SCONJ
ejpam-6311	325	15	(	(	PUNCT
ejpam-6311	325	16	dnk	dnk	NOUN
ejpam-6311	325	17	,	,	PUNCT
ejpam-6311	325	18	u	u	NOUN
ejpam-6311	325	19	)	)	PUNCT
ejpam-6311	325	20	∈	∈	PROPN
ejpam-6311	325	21	e(g	e(g	PROPN
ejpam-6311	325	22	)	)	PUNCT
ejpam-6311	325	23	.	.	PUNCT
ejpam-6311	326	1	applying	apply	VERB
ejpam-6311	326	2	observation	observation	NOUN
ejpam-6311	326	3	2	2	NUM
ejpam-6311	326	4	,	,	PUNCT
ejpam-6311	326	5	we	we	PRON
ejpam-6311	326	6	have	have	VERB
ejpam-6311	326	7	that	that	PRON
ejpam-6311	326	8	u	u	PROPN
ejpam-6311	326	9	∈	∈	PROPN
ejpam-6311	326	10	f.	f.	PROPN
ejpam-6311	326	11	finally	finally	ADV
ejpam-6311	326	12	,	,	PUNCT
ejpam-6311	326	13	by	by	ADP
ejpam-6311	326	14	observation	observation	NOUN
ejpam-6311	326	15	1	1	NUM
ejpam-6311	326	16	,	,	PUNCT
ejpam-6311	326	17	the	the	DET
ejpam-6311	326	18	sequence	sequence	NOUN
ejpam-6311	326	19	{	{	PUNCT
ejpam-6311	326	20	xn	xn	NOUN
ejpam-6311	326	21	}	}	PUNCT
ejpam-6311	326	22	is	be	AUX
ejpam-6311	326	23	weakly	weakly	ADJ
ejpam-6311	326	24	convergent	convergent	NOUN
ejpam-6311	326	25	in	in	ADP
ejpam-6311	326	26	f.	f.	PROPN
ejpam-6311	326	27	the	the	DET
ejpam-6311	326	28	following	follow	VERB
ejpam-6311	326	29	results	result	NOUN
ejpam-6311	326	30	are	be	AUX
ejpam-6311	326	31	obtained	obtain	VERB
ejpam-6311	326	32	through	through	ADP
ejpam-6311	326	33	the	the	DET
ejpam-6311	326	34	application	application	NOUN
ejpam-6311	326	35	of	of	ADP
ejpam-6311	326	36	the	the	DET
ejpam-6311	326	37	previously	previously	ADV
ejpam-6311	326	38	established	establish	VERB
ejpam-6311	326	39	lemmas	lemma	NOUN
ejpam-6311	326	40	.	.	PUNCT
ejpam-6311	327	1	theorem	theorem	NOUN
ejpam-6311	327	2	2	2	NUM
ejpam-6311	327	3	.	.	PUNCT
ejpam-6311	328	1	under	under	ADP
ejpam-6311	328	2	the	the	DET
ejpam-6311	328	3	hypotheses	hypothesis	NOUN
ejpam-6311	328	4	of	of	ADP
ejpam-6311	328	5	either	either	DET
ejpam-6311	328	6	one	one	NUM
ejpam-6311	328	7	of	of	ADP
ejpam-6311	328	8	lemma	lemma	PROPN
ejpam-6311	328	9	4	4	NUM
ejpam-6311	328	10	,	,	PUNCT
ejpam-6311	328	11	lemma	lemma	PROPN
ejpam-6311	328	12	5	5	NUM
ejpam-6311	328	13	,	,	PUNCT
ejpam-6311	328	14	lemma	lemma	PROPN
ejpam-6311	328	15	6	6	NUM
ejpam-6311	328	16	or	or	CCONJ
ejpam-6311	328	17	lemma	lemma	PROPN
ejpam-6311	328	18	7	7	NUM
ejpam-6311	328	19	,	,	PUNCT
ejpam-6311	328	20	and	and	CCONJ
ejpam-6311	328	21	condition	condition	NOUN
ejpam-6311	328	22	(	(	PUNCT
ejpam-6311	328	23	ii	ii	NOUN
ejpam-6311	328	24	)	)	PUNCT
ejpam-6311	328	25	of	of	ADP
ejpam-6311	328	26	theorem	theorem	NOUN
ejpam-6311	328	27	1	1	NUM
ejpam-6311	328	28	,	,	PUNCT
ejpam-6311	328	29	the	the	DET
ejpam-6311	328	30	sequence	sequence	NOUN
ejpam-6311	328	31	{	{	PUNCT
ejpam-6311	328	32	xn	xn	NOUN
ejpam-6311	328	33	}	}	PUNCT
ejpam-6311	328	34	is	be	AUX
ejpam-6311	328	35	weakly	weakly	ADJ
ejpam-6311	328	36	convergent	convergent	NOUN
ejpam-6311	328	37	in	in	ADP
ejpam-6311	328	38	f.	f.	PROPN
ejpam-6311	328	39	proof	proof	PROPN
ejpam-6311	328	40	.	.	PUNCT
ejpam-6311	329	1	the	the	DET
ejpam-6311	329	2	proof	proof	NOUN
ejpam-6311	329	3	is	be	AUX
ejpam-6311	329	4	a	a	DET
ejpam-6311	329	5	direct	direct	ADJ
ejpam-6311	329	6	adaptation	adaptation	NOUN
ejpam-6311	329	7	of	of	ADP
ejpam-6311	329	8	that	that	PRON
ejpam-6311	329	9	of	of	ADP
ejpam-6311	329	10	theorem	theorem	NOUN
ejpam-6311	329	11	1	1	NUM
ejpam-6311	329	12	,	,	PUNCT
ejpam-6311	329	13	originally	originally	ADV
ejpam-6311	329	14	relying	rely	VERB
ejpam-6311	329	15	on	on	ADP
ejpam-6311	329	16	the	the	DET
ejpam-6311	329	17	conditions	condition	NOUN
ejpam-6311	329	18	in	in	ADP
ejpam-6311	329	19	lemma	lemma	PROPN
ejpam-6311	329	20	3	3	NUM
ejpam-6311	329	21	,	,	PUNCT
ejpam-6311	329	22	which	which	PRON
ejpam-6311	329	23	equally	equally	ADV
ejpam-6311	329	24	be	be	AUX
ejpam-6311	329	25	substituted	substitute	VERB
ejpam-6311	329	26	with	with	ADP
ejpam-6311	329	27	those	those	PRON
ejpam-6311	329	28	in	in	ADP
ejpam-6311	329	29	lemma	lemma	PROPN
ejpam-6311	329	30	4	4	NUM
ejpam-6311	329	31	,	,	PUNCT
ejpam-6311	329	32	lemma	lemma	PROPN
ejpam-6311	329	33	5	5	NUM
ejpam-6311	329	34	,	,	PUNCT
ejpam-6311	329	35	lemma	lemma	PROPN
ejpam-6311	329	36	6	6	NUM
ejpam-6311	329	37	,	,	PUNCT
ejpam-6311	329	38	or	or	CCONJ
ejpam-6311	329	39	lemma	lemma	PROPN
ejpam-6311	329	40	7	7	NUM
ejpam-6311	329	41	.	.	PUNCT
ejpam-6311	330	1	we	we	PRON
ejpam-6311	330	2	conclude	conclude	VERB
ejpam-6311	330	3	this	this	DET
ejpam-6311	330	4	section	section	NOUN
ejpam-6311	330	5	with	with	ADP
ejpam-6311	330	6	a	a	DET
ejpam-6311	330	7	special	special	ADJ
ejpam-6311	330	8	case	case	NOUN
ejpam-6311	330	9	.	.	PUNCT
ejpam-6311	331	1	observe	observe	VERB
ejpam-6311	331	2	that	that	SCONJ
ejpam-6311	331	3	nonexpansive	nonexpansive	ADJ
ejpam-6311	331	4	mappings	mapping	NOUN
ejpam-6311	331	5	are	be	AUX
ejpam-6311	331	6	a	a	DET
ejpam-6311	331	7	special	special	ADJ
ejpam-6311	331	8	case	case	NOUN
ejpam-6311	331	9	of	of	ADP
ejpam-6311	331	10	g	g	NOUN
ejpam-6311	331	11	-	-	PUNCT
ejpam-6311	331	12	nonexpansive	nonexpansive	ADJ
ejpam-6311	331	13	mappings	mapping	NOUN
ejpam-6311	331	14	when	when	SCONJ
ejpam-6311	331	15	the	the	DET
ejpam-6311	331	16	edge	edge	NOUN
ejpam-6311	331	17	set	set	VERB
ejpam-6311	331	18	e(g	e(g	PROPN
ejpam-6311	331	19	)	)	PUNCT
ejpam-6311	331	20	contains	contain	VERB
ejpam-6311	331	21	all	all	DET
ejpam-6311	331	22	possible	possible	ADJ
ejpam-6311	331	23	ordered	order	VERB
ejpam-6311	331	24	pairs	pair	NOUN
ejpam-6311	331	25	(	(	PUNCT
ejpam-6311	331	26	x	x	NOUN
ejpam-6311	331	27	,	,	PUNCT
ejpam-6311	331	28	y	y	NOUN
ejpam-6311	331	29	)	)	PUNCT
ejpam-6311	331	30	for	for	ADP
ejpam-6311	331	31	x	x	X
ejpam-6311	331	32	,	,	PUNCT
ejpam-6311	332	1	y	y	PROPN
ejpam-6311	332	2	∈	∈	PROPN
ejpam-6311	332	3	x.	x.	NOUN
ejpam-6311	332	4	indeed	indeed	ADV
ejpam-6311	332	5	,	,	PUNCT
ejpam-6311	332	6	in	in	ADP
ejpam-6311	332	7	this	this	DET
ejpam-6311	332	8	case	case	NOUN
ejpam-6311	332	9	,	,	PUNCT
ejpam-6311	332	10	the	the	DET
ejpam-6311	332	11	condition	condition	NOUN
ejpam-6311	332	12	“	"	PUNCT
ejpam-6311	332	13	for	for	ADP
ejpam-6311	332	14	all	all	DET
ejpam-6311	332	15	x	x	NOUN
ejpam-6311	332	16	,	,	PUNCT
ejpam-6311	332	17	y	y	PROPN
ejpam-6311	332	18	∈	∈	PROPN
ejpam-6311	332	19	x	x	PUNCT
ejpam-6311	332	20	such	such	ADJ
ejpam-6311	332	21	that	that	SCONJ
ejpam-6311	332	22	(	(	PUNCT
ejpam-6311	332	23	x	x	NOUN
ejpam-6311	332	24	,	,	PUNCT
ejpam-6311	332	25	y	y	NOUN
ejpam-6311	332	26	)	)	PUNCT
ejpam-6311	332	27	∈	∈	PROPN
ejpam-6311	332	28	e(g	e(g	PROPN
ejpam-6311	332	29	)	)	PUNCT
ejpam-6311	332	30	”	"	PUNCT
ejpam-6311	332	31	simply	simply	ADV
ejpam-6311	332	32	reduces	reduce	VERB
ejpam-6311	332	33	to	to	ADP
ejpam-6311	332	34	“	"	PUNCT
ejpam-6311	332	35	for	for	ADP
ejpam-6311	332	36	all	all	DET
ejpam-6311	332	37	x	x	NOUN
ejpam-6311	332	38	,	,	PUNCT
ejpam-6311	332	39	y	y	PROPN
ejpam-6311	332	40	∈	∈	PROPN
ejpam-6311	332	41	x.	x.	NOUN
ejpam-6311	332	42	”	"	PUNCT
ejpam-6311	332	43	this	this	PRON
ejpam-6311	332	44	yields	yield	VERB
ejpam-6311	332	45	the	the	DET
ejpam-6311	332	46	following	follow	VERB
ejpam-6311	332	47	result	result	NOUN
ejpam-6311	332	48	.	.	PUNCT
ejpam-6311	333	1	theorem	theorem	NOUN
ejpam-6311	333	2	3	3	NUM
ejpam-6311	333	3	.	.	X
ejpam-6311	333	4	for	for	ADP
ejpam-6311	333	5	each	each	DET
ejpam-6311	333	6	i	i	NOUN
ejpam-6311	333	7	=	=	NOUN
ejpam-6311	333	8	1	1	NUM
ejpam-6311	333	9	,	,	PUNCT
ejpam-6311	333	10	2	2	NUM
ejpam-6311	333	11	,	,	PUNCT
ejpam-6311	333	12	.	.	PUNCT
ejpam-6311	333	13	.	.	PUNCT
ejpam-6311	334	1	.	.	PUNCT
ejpam-6311	335	1	,	,	PUNCT
ejpam-6311	335	2	n	n	X
ejpam-6311	335	3	,	,	PUNCT
ejpam-6311	335	4	let	let	VERB
ejpam-6311	335	5	the	the	DET
ejpam-6311	335	6	mapping	mapping	NOUN
ejpam-6311	335	7	ji	ji	NOUN
ejpam-6311	335	8	:	:	PUNCT
ejpam-6311	335	9	x	x	X
ejpam-6311	335	10	→	→	PUNCT
ejpam-6311	335	11	x	x	PUNCT
ejpam-6311	335	12	be	be	AUX
ejpam-6311	335	13	g	g	NOUN
ejpam-6311	335	14	-	-	PUNCT
ejpam-6311	335	15	nonexpansive	nonexpansive	ADJ
ejpam-6311	335	16	.	.	PUNCT
ejpam-6311	336	1	assume	assume	VERB
ejpam-6311	336	2	the	the	DET
ejpam-6311	336	3	following	follow	VERB
ejpam-6311	336	4	conditions	condition	NOUN
ejpam-6311	336	5	hold	hold	VERB
ejpam-6311	336	6	:	:	PUNCT
ejpam-6311	336	7	s.	s.	PROPN
ejpam-6311	336	8	panma	panma	PROPN
ejpam-6311	336	9	,	,	PUNCT
ejpam-6311	336	10	r.	r.	PROPN
ejpam-6311	336	11	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	336	12	,	,	PUNCT
ejpam-6311	336	13	t.	t.	NOUN
ejpam-6311	336	14	chaobankoh	chaobankoh	PROPN
ejpam-6311	336	15	/	/	SYM
ejpam-6311	336	16	eur	eur	PROPN
ejpam-6311	336	17	.	.	PUNCT
ejpam-6311	337	1	j.	j.	PROPN
ejpam-6311	337	2	pure	pure	PROPN
ejpam-6311	337	3	appl	appl	PROPN
ejpam-6311	337	4	.	.	PROPN
ejpam-6311	337	5	math	math	PROPN
ejpam-6311	337	6	,	,	PUNCT
ejpam-6311	337	7	18	18	NUM
ejpam-6311	337	8	(	(	PUNCT
ejpam-6311	337	9	3	3	NUM
ejpam-6311	337	10	)	)	PUNCT
ejpam-6311	337	11	(	(	PUNCT
ejpam-6311	337	12	2025	2025	NUM
ejpam-6311	337	13	)	)	PUNCT
ejpam-6311	337	14	,	,	PUNCT
ejpam-6311	337	15	6311	6311	NUM
ejpam-6311	337	16	11	11	NUM
ejpam-6311	337	17	of	of	ADP
ejpam-6311	337	18	20	20	NUM
ejpam-6311	337	19	(	(	PUNCT
ejpam-6311	337	20	i	i	NOUN
ejpam-6311	337	21	)	)	PUNCT
ejpam-6311	337	22	∞∑	∞∑	NUM
ejpam-6311	337	23	n=1	n=1	PROPN
ejpam-6311	337	24	|βn|∥xn	|βn|∥xn	VERB
ejpam-6311	338	1	−	−	PROPN
ejpam-6311	338	2	xn−1∥	xn−1∥	PROPN
ejpam-6311	338	3	<	<	X
ejpam-6311	338	4	∞	∞	PROPN
ejpam-6311	338	5	;	;	PUNCT
ejpam-6311	338	6	(	(	PUNCT
ejpam-6311	338	7	ii	ii	NOUN
ejpam-6311	338	8	)	)	PUNCT
ejpam-6311	338	9	0	0	PUNCT
ejpam-6311	339	1	<	<	X
ejpam-6311	339	2	lim	lim	PROPN
ejpam-6311	339	3	inf	inf	PROPN
ejpam-6311	339	4	n→∞	n→∞	X
ejpam-6311	339	5	µi	µi	PROPN
ejpam-6311	339	6	n	n	CCONJ
ejpam-6311	339	7	≤	≤	NOUN
ejpam-6311	339	8	lim	lim	PROPN
ejpam-6311	339	9	sup	sup	VERB
ejpam-6311	339	10	n→∞	n→∞	PRON
ejpam-6311	339	11	µi	µi	ADP
ejpam-6311	339	12	n	n	X
ejpam-6311	339	13	<	<	X
ejpam-6311	339	14	1	1	NUM
ejpam-6311	339	15	;	;	PUNCT
ejpam-6311	339	16	(	(	PUNCT
ejpam-6311	339	17	iii	iii	NOUN
ejpam-6311	339	18	)	)	PUNCT
ejpam-6311	339	19	either	either	CCONJ
ejpam-6311	339	20	lim	lim	PROPN
ejpam-6311	339	21	inf	inf	PROPN
ejpam-6311	339	22	n→∞	n→∞	X
ejpam-6311	339	23	σi	σi	NOUN
ejpam-6311	339	24	n	n	CCONJ
ejpam-6311	339	25	>	>	X
ejpam-6311	339	26	0	0	PUNCT
ejpam-6311	340	1	or	or	CCONJ
ejpam-6311	340	2	lim	lim	PROPN
ejpam-6311	340	3	inf	inf	PROPN
ejpam-6311	340	4	n→∞	n→∞	NUM
ejpam-6311	340	5	ηin	ηin	PROPN
ejpam-6311	340	6	>	>	X
ejpam-6311	340	7	0	0	PUNCT
ejpam-6311	341	1	and	and	CCONJ
ejpam-6311	341	2	lim	lim	PROPN
ejpam-6311	341	3	sup	sup	PROPN
ejpam-6311	341	4	n→∞	n→∞	PRON
ejpam-6311	342	1	σi	σi	NOUN
ejpam-6311	342	2	n	n	CCONJ
ejpam-6311	342	3	<	<	X
ejpam-6311	342	4	1	1	NUM
ejpam-6311	342	5	.	.	PUNCT
ejpam-6311	343	1	then	then	ADV
ejpam-6311	343	2	,	,	PUNCT
ejpam-6311	343	3	the	the	DET
ejpam-6311	343	4	sequence	sequence	NOUN
ejpam-6311	343	5	{	{	PUNCT
ejpam-6311	343	6	xn	xn	NOUN
ejpam-6311	343	7	}	}	PUNCT
ejpam-6311	343	8	is	be	AUX
ejpam-6311	343	9	weakly	weakly	ADJ
ejpam-6311	343	10	convergent	convergent	NOUN
ejpam-6311	343	11	in	in	ADP
ejpam-6311	343	12	f.	f.	PROPN
ejpam-6311	343	13	proof	proof	PROPN
ejpam-6311	343	14	.	.	PUNCT
ejpam-6311	344	1	it	it	PRON
ejpam-6311	344	2	is	be	AUX
ejpam-6311	344	3	clear	clear	ADJ
ejpam-6311	344	4	that	that	SCONJ
ejpam-6311	344	5	condition	condition	NOUN
ejpam-6311	344	6	(	(	PUNCT
ejpam-6311	344	7	ii	ii	NOUN
ejpam-6311	344	8	)	)	PUNCT
ejpam-6311	344	9	of	of	ADP
ejpam-6311	344	10	lemma	lemma	PROPN
ejpam-6311	344	11	7	7	NUM
ejpam-6311	344	12	and	and	CCONJ
ejpam-6311	344	13	condition	condition	NOUN
ejpam-6311	344	14	(	(	PUNCT
ejpam-6311	344	15	ii	ii	NOUN
ejpam-6311	344	16	)	)	PUNCT
ejpam-6311	344	17	of	of	ADP
ejpam-6311	344	18	theorem	theorem	ADJ
ejpam-6311	344	19	1	1	NUM
ejpam-6311	344	20	hold	hold	NOUN
ejpam-6311	344	21	.	.	PUNCT
ejpam-6311	345	1	therefore	therefore	ADV
ejpam-6311	345	2	,	,	PUNCT
ejpam-6311	345	3	by	by	ADP
ejpam-6311	345	4	theorem	theorem	NOUN
ejpam-6311	345	5	2	2	NUM
ejpam-6311	345	6	,	,	PUNCT
ejpam-6311	345	7	the	the	DET
ejpam-6311	345	8	sequence	sequence	NOUN
ejpam-6311	345	9	{	{	PUNCT
ejpam-6311	345	10	xn	xn	NOUN
ejpam-6311	345	11	}	}	PUNCT
ejpam-6311	345	12	weakly	weakly	ADJ
ejpam-6311	345	13	converges	converge	VERB
ejpam-6311	345	14	to	to	ADP
ejpam-6311	345	15	an	an	DET
ejpam-6311	345	16	element	element	NOUN
ejpam-6311	345	17	in	in	ADP
ejpam-6311	345	18	f.	f.	PROPN
ejpam-6311	345	19	4	4	NUM
ejpam-6311	345	20	.	.	PUNCT
ejpam-6311	346	1	the	the	DET
ejpam-6311	346	2	algorithms	algorithm	NOUN
ejpam-6311	346	3	proposed	propose	VERB
ejpam-6311	346	4	for	for	ADP
ejpam-6311	346	5	the	the	DET
ejpam-6311	346	6	experimental	experimental	ADJ
ejpam-6311	346	7	study	study	NOUN
ejpam-6311	346	8	the	the	DET
ejpam-6311	346	9	experimental	experimental	ADJ
ejpam-6311	346	10	investigation	investigation	NOUN
ejpam-6311	346	11	detailed	detail	VERB
ejpam-6311	346	12	in	in	ADP
ejpam-6311	346	13	the	the	DET
ejpam-6311	346	14	subsequent	subsequent	ADJ
ejpam-6311	346	15	section	section	NOUN
ejpam-6311	346	16	aims	aim	VERB
ejpam-6311	346	17	to	to	PART
ejpam-6311	346	18	assess	assess	VERB
ejpam-6311	346	19	the	the	DET
ejpam-6311	346	20	performance	performance	NOUN
ejpam-6311	346	21	characteristics	characteristic	NOUN
ejpam-6311	346	22	of	of	ADP
ejpam-6311	346	23	three	three	NUM
ejpam-6311	346	24	algorithms	algorithm	NOUN
ejpam-6311	346	25	.	.	PUNCT
ejpam-6311	347	1	the	the	DET
ejpam-6311	347	2	first	first	ADJ
ejpam-6311	347	3	algorithm	algorithm	NOUN
ejpam-6311	347	4	is	be	AUX
ejpam-6311	347	5	derived	derive	VERB
ejpam-6311	347	6	from	from	ADP
ejpam-6311	347	7	algorithm	algorithm	NOUN
ejpam-6311	347	8	1	1	NUM
ejpam-6311	347	9	through	through	ADP
ejpam-6311	347	10	the	the	DET
ejpam-6311	347	11	imposition	imposition	NOUN
ejpam-6311	347	12	of	of	ADP
ejpam-6311	347	13	the	the	DET
ejpam-6311	347	14	constraints	constraint	NOUN
ejpam-6311	347	15	σi	σi	PRON
ejpam-6311	347	16	n	n	NOUN
ejpam-6311	347	17	=	=	SYM
ejpam-6311	347	18	0	0	PROPN
ejpam-6311	347	19	and	and	CCONJ
ejpam-6311	347	20	ηin	ηin	PROPN
ejpam-6311	347	21	=	=	NOUN
ejpam-6311	347	22	1	1	NUM
ejpam-6311	347	23	for	for	ADP
ejpam-6311	347	24	all	all	DET
ejpam-6311	347	25	iterations	iteration	NOUN
ejpam-6311	347	26	n.	n.	NOUN
ejpam-6311	347	27	for	for	ADP
ejpam-6311	347	28	convenience	convenience	NOUN
ejpam-6311	347	29	,	,	PUNCT
ejpam-6311	347	30	we	we	PRON
ejpam-6311	347	31	will	will	AUX
ejpam-6311	347	32	also	also	ADV
ejpam-6311	347	33	denote	denote	VERB
ejpam-6311	347	34	this	this	DET
ejpam-6311	347	35	modification	modification	NOUN
ejpam-6311	347	36	of	of	ADP
ejpam-6311	347	37	algorithm	algorithm	NOUN
ejpam-6311	347	38	1	1	NUM
ejpam-6311	347	39	by	by	ADP
ejpam-6311	347	40	algorithm	algorithm	NOUN
ejpam-6311	347	41	1	1	NUM
ejpam-6311	347	42	itself	itself	PRON
ejpam-6311	347	43	.	.	PUNCT
ejpam-6311	348	1	to	to	PART
ejpam-6311	348	2	facilitate	facilitate	VERB
ejpam-6311	348	3	a	a	DET
ejpam-6311	348	4	comprehensive	comprehensive	ADJ
ejpam-6311	348	5	comparative	comparative	ADJ
ejpam-6311	348	6	analysis	analysis	NOUN
ejpam-6311	348	7	,	,	PUNCT
ejpam-6311	348	8	the	the	DET
ejpam-6311	348	9	study	study	NOUN
ejpam-6311	348	10	will	will	AUX
ejpam-6311	348	11	also	also	ADV
ejpam-6311	348	12	incorporate	incorporate	VERB
ejpam-6311	348	13	algorithms	algorithm	NOUN
ejpam-6311	348	14	previously	previously	ADV
ejpam-6311	348	15	published	publish	VERB
ejpam-6311	348	16	in	in	ADP
ejpam-6311	348	17	the	the	DET
ejpam-6311	348	18	literature	literature	NOUN
ejpam-6311	348	19	,	,	PUNCT
ejpam-6311	348	20	specifically	specifically	ADV
ejpam-6311	348	21	algorithm	algorithm	NOUN
ejpam-6311	348	22	2	2	NUM
ejpam-6311	348	23	and	and	CCONJ
ejpam-6311	348	24	algorithm	algorithm	PROPN
ejpam-6311	348	25	3	3	NUM
ejpam-6311	348	26	presented	present	VERB
ejpam-6311	348	27	in	in	ADP
ejpam-6311	348	28	[	[	X
ejpam-6311	348	29	3	3	NUM
ejpam-6311	348	30	]	]	PUNCT
ejpam-6311	348	31	and	and	CCONJ
ejpam-6311	349	1	[	[	X
ejpam-6311	349	2	4	4	NUM
ejpam-6311	349	3	]	]	PUNCT
ejpam-6311	349	4	,	,	PUNCT
ejpam-6311	349	5	respectively	respectively	ADV
ejpam-6311	349	6	.	.	PUNCT
ejpam-6311	350	1	algorithm	algorithm	NOUN
ejpam-6311	350	2	2	2	NUM
ejpam-6311	351	1	[	[	X
ejpam-6311	351	2	3	3	NUM
ejpam-6311	351	3	]	]	SYM
ejpam-6311	351	4	initialization	initialization	NOUN
ejpam-6311	351	5	:	:	PUNCT
ejpam-6311	351	6	choose	choose	VERB
ejpam-6311	351	7	x0	x0	PROPN
ejpam-6311	351	8	,	,	PUNCT
ejpam-6311	352	1	x1	x1	PROPN
ejpam-6311	352	2	∈	∈	PROPN
ejpam-6311	352	3	x	x	X
ejpam-6311	352	4	,	,	PUNCT
ejpam-6311	352	5	and	and	CCONJ
ejpam-6311	352	6	let	let	VERB
ejpam-6311	352	7	n	n	PRON
ejpam-6311	352	8	:	:	PUNCT
ejpam-6311	352	9	=	=	SYM
ejpam-6311	352	10	1	1	X
ejpam-6311	352	11	.	.	PUNCT
ejpam-6311	352	12	iterative	iterative	NOUN
ejpam-6311	352	13	steps	step	NOUN
ejpam-6311	352	14	:	:	PUNCT
ejpam-6311	352	15	iteratively	iteratively	ADV
ejpam-6311	352	16	construct	construct	VERB
ejpam-6311	352	17	the	the	DET
ejpam-6311	352	18	sequence	sequence	NOUN
ejpam-6311	352	19	{	{	PUNCT
ejpam-6311	352	20	xn	xn	NOUN
ejpam-6311	352	21	}	}	PUNCT
ejpam-6311	352	22	as	as	SCONJ
ejpam-6311	352	23	follows	follow	VERB
ejpam-6311	352	24	.	.	PUNCT
ejpam-6311	353	1	step	step	NOUN
ejpam-6311	353	2	1	1	NUM
ejpam-6311	353	3	.	.	PUNCT
ejpam-6311	354	1	calculate	calculate	NOUN
ejpam-6311	354	2	dn	dn	NOUN
ejpam-6311	355	1	=	=	PUNCT
ejpam-6311	356	1	xn	xn	PROPN
ejpam-6311	357	1	+	+	CCONJ
ejpam-6311	357	2	βn(xn	βn(xn	VERB
ejpam-6311	358	1	−	−	PROPN
ejpam-6311	358	2	xn−1	xn−1	PROPN
ejpam-6311	358	3	)	)	PUNCT
ejpam-6311	358	4	,	,	PUNCT
ejpam-6311	358	5	where	where	SCONJ
ejpam-6311	358	6	{	{	PUNCT
ejpam-6311	358	7	βn	βn	NOUN
ejpam-6311	358	8	}	}	PUNCT
ejpam-6311	358	9	⊂	⊂	PUNCT
ejpam-6311	359	1	[	[	X
ejpam-6311	359	2	0	0	NUM
ejpam-6311	359	3	,	,	PUNCT
ejpam-6311	359	4	1	1	NUM
ejpam-6311	359	5	]	]	PUNCT
ejpam-6311	359	6	.	.	PUNCT
ejpam-6311	360	1	step	step	NOUN
ejpam-6311	360	2	2	2	NUM
ejpam-6311	360	3	.	.	PUNCT
ejpam-6311	360	4	calculate	calculate	VERB
ejpam-6311	360	5	cin	cin	PROPN
ejpam-6311	360	6	=	=	SYM
ejpam-6311	360	7	(	(	PUNCT
ejpam-6311	360	8	1−	1−	NUM
ejpam-6311	360	9	µi	µi	PROPN
ejpam-6311	360	10	n)dn	n)dn	PROPN
ejpam-6311	361	1	+	+	CCONJ
ejpam-6311	361	2	µi	µi	PROPN
ejpam-6311	361	3	njidn	njidn	NOUN
ejpam-6311	361	4	and	and	CCONJ
ejpam-6311	361	5	ain	ain	NOUN
ejpam-6311	361	6	=	=	SYM
ejpam-6311	361	7	(	(	PUNCT
ejpam-6311	361	8	1−	1−	NUM
ejpam-6311	361	9	ηin)jidn	ηin)jidn	PROPN
ejpam-6311	361	10	+	+	NUM
ejpam-6311	361	11	ηinjic	ηinjic	NOUN
ejpam-6311	361	12	i	i	PROPN
ejpam-6311	361	13	n	n	CCONJ
ejpam-6311	361	14	,	,	PUNCT
ejpam-6311	361	15	where	where	SCONJ
ejpam-6311	361	16	{	{	PUNCT
ejpam-6311	361	17	µi	µi	PROPN
ejpam-6311	361	18	n	n	CCONJ
ejpam-6311	361	19	}	}	PUNCT
ejpam-6311	361	20	,	,	PUNCT
ejpam-6311	361	21	{	{	PUNCT
ejpam-6311	361	22	ηin	ηin	PROPN
ejpam-6311	361	23	}	}	PUNCT
ejpam-6311	361	24	⊂	⊂	PROPN
ejpam-6311	362	1	[	[	X
ejpam-6311	362	2	0	0	NUM
ejpam-6311	362	3	,	,	PUNCT
ejpam-6311	362	4	1	1	NUM
ejpam-6311	362	5	]	]	PUNCT
ejpam-6311	362	6	for	for	ADP
ejpam-6311	362	7	all	all	DET
ejpam-6311	362	8	i	i	PRON
ejpam-6311	362	9	=	=	NOUN
ejpam-6311	362	10	1	1	NUM
ejpam-6311	362	11	,	,	PUNCT
ejpam-6311	362	12	2	2	NUM
ejpam-6311	362	13	,	,	PUNCT
ejpam-6311	362	14	.	.	PUNCT
ejpam-6311	362	15	.	.	PUNCT
ejpam-6311	363	1	.	.	PUNCT
ejpam-6311	364	1	,	,	PUNCT
ejpam-6311	364	2	n	n	X
ejpam-6311	364	3	.	.	PUNCT
ejpam-6311	365	1	step	step	NOUN
ejpam-6311	365	2	3	3	NUM
ejpam-6311	365	3	.	.	PUNCT
ejpam-6311	366	1	set	set	VERB
ejpam-6311	366	2	xn+1	xn+1	PROPN
ejpam-6311	367	1	=	=	PUNCT
ejpam-6311	368	1	arg	arg	NOUN
ejpam-6311	368	2	max	max	PROPN
ejpam-6311	368	3	1≤i≤n	1≤i≤n	NUM
ejpam-6311	368	4	∥ain	∥ain	NOUN
ejpam-6311	368	5	−	−	PROPN
ejpam-6311	368	6	dn∥.	dn∥.	PROPN
ejpam-6311	368	7	then	then	ADV
ejpam-6311	368	8	,	,	PUNCT
ejpam-6311	368	9	proceed	proceed	VERB
ejpam-6311	368	10	by	by	ADP
ejpam-6311	368	11	updating	update	VERB
ejpam-6311	368	12	n	n	ADP
ejpam-6311	368	13	to	to	ADP
ejpam-6311	368	14	n+	n+	PRON
ejpam-6311	368	15	1	1	NUM
ejpam-6311	368	16	and	and	CCONJ
ejpam-6311	368	17	repeating	repeat	VERB
ejpam-6311	368	18	all	all	DET
ejpam-6311	368	19	steps	step	NOUN
ejpam-6311	368	20	.	.	PUNCT
ejpam-6311	369	1	s.	s.	PROPN
ejpam-6311	369	2	panma	panma	PROPN
ejpam-6311	369	3	,	,	PUNCT
ejpam-6311	369	4	r.	r.	PROPN
ejpam-6311	369	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	369	6	,	,	PUNCT
ejpam-6311	369	7	t.	t.	NOUN
ejpam-6311	369	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	369	9	/	/	SYM
ejpam-6311	369	10	eur	eur	PROPN
ejpam-6311	369	11	.	.	PUNCT
ejpam-6311	370	1	j.	j.	PROPN
ejpam-6311	370	2	pure	pure	PROPN
ejpam-6311	370	3	appl	appl	PROPN
ejpam-6311	370	4	.	.	PROPN
ejpam-6311	370	5	math	math	PROPN
ejpam-6311	370	6	,	,	PUNCT
ejpam-6311	370	7	18	18	NUM
ejpam-6311	370	8	(	(	PUNCT
ejpam-6311	370	9	3	3	NUM
ejpam-6311	370	10	)	)	PUNCT
ejpam-6311	370	11	(	(	PUNCT
ejpam-6311	370	12	2025	2025	NUM
ejpam-6311	370	13	)	)	PUNCT
ejpam-6311	370	14	,	,	PUNCT
ejpam-6311	370	15	6311	6311	NUM
ejpam-6311	370	16	12	12	NUM
ejpam-6311	370	17	of	of	ADP
ejpam-6311	370	18	20	20	NUM
ejpam-6311	370	19	algorithm	algorithm	NOUN
ejpam-6311	370	20	3	3	NUM
ejpam-6311	370	21	[	[	X
ejpam-6311	370	22	4	4	NUM
ejpam-6311	370	23	]	]	SYM
ejpam-6311	370	24	initialization	initialization	NOUN
ejpam-6311	370	25	:	:	PUNCT
ejpam-6311	370	26	choose	choose	VERB
ejpam-6311	370	27	x0	x0	PROPN
ejpam-6311	370	28	,	,	PUNCT
ejpam-6311	370	29	x1	x1	PROPN
ejpam-6311	370	30	∈	∈	PROPN
ejpam-6311	370	31	x	x	X
ejpam-6311	370	32	,	,	PUNCT
ejpam-6311	370	33	and	and	CCONJ
ejpam-6311	370	34	let	let	VERB
ejpam-6311	370	35	n	n	PRON
ejpam-6311	370	36	:	:	PUNCT
ejpam-6311	370	37	=	=	SYM
ejpam-6311	370	38	1	1	X
ejpam-6311	370	39	.	.	PUNCT
ejpam-6311	370	40	iterative	iterative	NOUN
ejpam-6311	370	41	steps	step	NOUN
ejpam-6311	370	42	:	:	PUNCT
ejpam-6311	370	43	iteratively	iteratively	ADV
ejpam-6311	370	44	construct	construct	VERB
ejpam-6311	370	45	the	the	DET
ejpam-6311	370	46	sequence	sequence	NOUN
ejpam-6311	370	47	{	{	PUNCT
ejpam-6311	370	48	xn	xn	NOUN
ejpam-6311	370	49	}	}	PUNCT
ejpam-6311	370	50	as	as	SCONJ
ejpam-6311	370	51	follows	follow	VERB
ejpam-6311	370	52	.	.	PUNCT
ejpam-6311	371	1	step	step	NOUN
ejpam-6311	371	2	1	1	NUM
ejpam-6311	371	3	.	.	PUNCT
ejpam-6311	372	1	calculate	calculate	NOUN
ejpam-6311	372	2	dn	dn	NOUN
ejpam-6311	373	1	=	=	PUNCT
ejpam-6311	374	1	xn	xn	PROPN
ejpam-6311	375	1	+	+	CCONJ
ejpam-6311	375	2	βn(xn	βn(xn	VERB
ejpam-6311	376	1	−	−	PROPN
ejpam-6311	376	2	xn−1	xn−1	PROPN
ejpam-6311	376	3	)	)	PUNCT
ejpam-6311	376	4	,	,	PUNCT
ejpam-6311	376	5	where	where	SCONJ
ejpam-6311	376	6	{	{	PUNCT
ejpam-6311	376	7	βn	βn	NOUN
ejpam-6311	376	8	}	}	PUNCT
ejpam-6311	376	9	⊂	⊂	PUNCT
ejpam-6311	377	1	[	[	X
ejpam-6311	377	2	0	0	NUM
ejpam-6311	377	3	,	,	PUNCT
ejpam-6311	377	4	1	1	NUM
ejpam-6311	377	5	]	]	PUNCT
ejpam-6311	377	6	.	.	PUNCT
ejpam-6311	378	1	step	step	NOUN
ejpam-6311	378	2	2	2	NUM
ejpam-6311	378	3	.	.	PUNCT
ejpam-6311	378	4	calculate	calculate	VERB
ejpam-6311	378	5	cin	cin	PROPN
ejpam-6311	378	6	=	=	SYM
ejpam-6311	378	7	(	(	PUNCT
ejpam-6311	379	1	1−	1−	NUM
ejpam-6311	379	2	µi	µi	PROPN
ejpam-6311	379	3	n)dn	n)dn	PROPN
ejpam-6311	380	1	+	+	CCONJ
ejpam-6311	381	1	µi	µi	PROPN
ejpam-6311	381	2	njidn	njidn	NOUN
ejpam-6311	381	3	,	,	PUNCT
ejpam-6311	381	4	bin	bin	PROPN
ejpam-6311	381	5	=	=	SYM
ejpam-6311	381	6	(	(	PUNCT
ejpam-6311	381	7	1−	1−	NUM
ejpam-6311	381	8	ηin)c	ηin)c	PROPN
ejpam-6311	381	9	i	i	PROPN
ejpam-6311	381	10	n	n	PROPN
ejpam-6311	381	11	+	+	CCONJ
ejpam-6311	381	12	ηinjic	ηinjic	NOUN
ejpam-6311	381	13	i	i	PROPN
ejpam-6311	381	14	n	n	PROPN
ejpam-6311	381	15	and	and	CCONJ
ejpam-6311	381	16	ain	ain	NOUN
ejpam-6311	381	17	=	=	SYM
ejpam-6311	381	18	(	(	PUNCT
ejpam-6311	381	19	1−	1−	NUM
ejpam-6311	381	20	σi	σi	NOUN
ejpam-6311	381	21	n)b	n)b	PUNCT
ejpam-6311	382	1	i	i	PRON
ejpam-6311	382	2	n	n	VERB
ejpam-6311	383	1	+	+	X
ejpam-6311	383	2	σi	σi	X
ejpam-6311	383	3	njib	njib	VERB
ejpam-6311	383	4	i	i	PRON
ejpam-6311	383	5	n	n	CCONJ
ejpam-6311	383	6	,	,	PUNCT
ejpam-6311	384	1	where	where	SCONJ
ejpam-6311	384	2	{	{	PUNCT
ejpam-6311	384	3	µi	µi	PROPN
ejpam-6311	384	4	n	n	CCONJ
ejpam-6311	384	5	}	}	PUNCT
ejpam-6311	384	6	,	,	PUNCT
ejpam-6311	384	7	{	{	PUNCT
ejpam-6311	384	8	ηin	ηin	PROPN
ejpam-6311	384	9	}	}	PUNCT
ejpam-6311	384	10	,	,	PUNCT
ejpam-6311	384	11	{	{	PUNCT
ejpam-6311	384	12	σi	σi	NOUN
ejpam-6311	384	13	n	n	CCONJ
ejpam-6311	384	14	}	}	PUNCT
ejpam-6311	384	15	⊂	⊂	PROPN
ejpam-6311	385	1	[	[	X
ejpam-6311	385	2	0	0	NUM
ejpam-6311	385	3	,	,	PUNCT
ejpam-6311	385	4	1	1	NUM
ejpam-6311	385	5	]	]	PUNCT
ejpam-6311	385	6	for	for	ADP
ejpam-6311	385	7	all	all	DET
ejpam-6311	385	8	i	i	PRON
ejpam-6311	385	9	=	=	NOUN
ejpam-6311	385	10	1	1	NUM
ejpam-6311	385	11	,	,	PUNCT
ejpam-6311	385	12	2	2	NUM
ejpam-6311	385	13	,	,	PUNCT
ejpam-6311	385	14	.	.	PUNCT
ejpam-6311	385	15	.	.	PUNCT
ejpam-6311	386	1	.	.	PUNCT
ejpam-6311	387	1	,	,	PUNCT
ejpam-6311	387	2	n	n	X
ejpam-6311	387	3	.	.	PUNCT
ejpam-6311	388	1	step	step	NOUN
ejpam-6311	388	2	3	3	NUM
ejpam-6311	388	3	.	.	PUNCT
ejpam-6311	389	1	set	set	VERB
ejpam-6311	389	2	xn+1	xn+1	PROPN
ejpam-6311	390	1	=	=	PUNCT
ejpam-6311	391	1	arg	arg	NOUN
ejpam-6311	391	2	max	max	PROPN
ejpam-6311	391	3	1≤i≤n	1≤i≤n	NUM
ejpam-6311	391	4	∥ain	∥ain	NOUN
ejpam-6311	391	5	−	−	PROPN
ejpam-6311	391	6	dn∥.	dn∥.	PROPN
ejpam-6311	391	7	then	then	ADV
ejpam-6311	391	8	,	,	PUNCT
ejpam-6311	391	9	proceed	proceed	VERB
ejpam-6311	391	10	by	by	ADP
ejpam-6311	391	11	updating	update	VERB
ejpam-6311	391	12	n	n	ADP
ejpam-6311	391	13	to	to	ADP
ejpam-6311	391	14	n+	n+	PRON
ejpam-6311	391	15	1	1	NUM
ejpam-6311	391	16	and	and	CCONJ
ejpam-6311	391	17	repeating	repeat	VERB
ejpam-6311	391	18	all	all	DET
ejpam-6311	391	19	steps	step	NOUN
ejpam-6311	391	20	.	.	PUNCT
ejpam-6311	392	1	5	5	X
ejpam-6311	392	2	.	.	X
ejpam-6311	392	3	image	image	NOUN
ejpam-6311	392	4	recovery	recovery	NOUN
ejpam-6311	392	5	problem	problem	NOUN
ejpam-6311	392	6	subject	subject	ADJ
ejpam-6311	392	7	to	to	ADP
ejpam-6311	392	8	various	various	ADJ
ejpam-6311	392	9	types	type	NOUN
ejpam-6311	392	10	of	of	ADP
ejpam-6311	392	11	blur	blur	VERB
ejpam-6311	392	12	the	the	DET
ejpam-6311	392	13	process	process	NOUN
ejpam-6311	392	14	of	of	ADP
ejpam-6311	392	15	recovering	recover	VERB
ejpam-6311	392	16	images	image	NOUN
ejpam-6311	392	17	degraded	degrade	VERB
ejpam-6311	392	18	by	by	ADP
ejpam-6311	392	19	various	various	ADJ
ejpam-6311	392	20	blurring	blur	VERB
ejpam-6311	392	21	filters	filter	NOUN
ejpam-6311	392	22	demands	demand	VERB
ejpam-6311	392	23	a	a	DET
ejpam-6311	392	24	precise	precise	ADJ
ejpam-6311	392	25	mathematical	mathematical	ADJ
ejpam-6311	392	26	representation	representation	NOUN
ejpam-6311	392	27	.	.	PUNCT
ejpam-6311	393	1	the	the	DET
ejpam-6311	393	2	following	follow	VERB
ejpam-6311	393	3	equation	equation	NOUN
ejpam-6311	393	4	effectively	effectively	ADV
ejpam-6311	393	5	models	model	VERB
ejpam-6311	393	6	this	this	DET
ejpam-6311	393	7	complex	complex	ADJ
ejpam-6311	393	8	scenario	scenario	NOUN
ejpam-6311	393	9	,	,	PUNCT
ejpam-6311	393	10	enabling	enable	VERB
ejpam-6311	393	11	efficient	efficient	ADJ
ejpam-6311	393	12	and	and	CCONJ
ejpam-6311	393	13	accurate	accurate	ADJ
ejpam-6311	393	14	recovery	recovery	NOUN
ejpam-6311	393	15	solutions	solution	NOUN
ejpam-6311	393	16	.	.	PUNCT
ejpam-6311	394	1	hi	hi	INTJ
ejpam-6311	394	2	=	=	SYM
ejpam-6311	394	3	mix	mix	NOUN
ejpam-6311	394	4	∗	∗	NOUN
ejpam-6311	394	5	+	+	CCONJ
ejpam-6311	394	6	εi	εi	NOUN
ejpam-6311	394	7	,	,	PUNCT
ejpam-6311	394	8	where	where	SCONJ
ejpam-6311	394	9	hi	hi	INTJ
ejpam-6311	394	10	is	be	AUX
ejpam-6311	394	11	the	the	DET
ejpam-6311	394	12	observed	observe	VERB
ejpam-6311	394	13	image	image	NOUN
ejpam-6311	394	14	that	that	PRON
ejpam-6311	394	15	has	have	AUX
ejpam-6311	394	16	been	be	AUX
ejpam-6311	394	17	blurred	blur	VERB
ejpam-6311	394	18	by	by	ADP
ejpam-6311	394	19	the	the	DET
ejpam-6311	394	20	i	i	PROPN
ejpam-6311	394	21	-	-	PUNCT
ejpam-6311	394	22	th	th	X
ejpam-6311	394	23	blurring	blurring	NOUN
ejpam-6311	394	24	filter	filter	NOUN
ejpam-6311	394	25	,	,	PUNCT
ejpam-6311	394	26	mi	mi	PROPN
ejpam-6311	394	27	is	be	AUX
ejpam-6311	394	28	the	the	DET
ejpam-6311	394	29	matrix	matrix	NOUN
ejpam-6311	394	30	that	that	PRON
ejpam-6311	394	31	models	model	VERB
ejpam-6311	394	32	the	the	DET
ejpam-6311	394	33	blurring	blur	VERB
ejpam-6311	394	34	effect	effect	NOUN
ejpam-6311	394	35	for	for	ADP
ejpam-6311	394	36	the	the	DET
ejpam-6311	394	37	i	i	PROPN
ejpam-6311	394	38	-	-	PUNCT
ejpam-6311	394	39	th	th	X
ejpam-6311	394	40	filter	filter	NOUN
ejpam-6311	394	41	,	,	PUNCT
ejpam-6311	394	42	and	and	CCONJ
ejpam-6311	394	43	εi	εi	VERB
ejpam-6311	394	44	represents	represent	VERB
ejpam-6311	394	45	the	the	DET
ejpam-6311	394	46	noise	noise	NOUN
ejpam-6311	394	47	present	present	ADJ
ejpam-6311	394	48	in	in	ADP
ejpam-6311	394	49	the	the	DET
ejpam-6311	394	50	observed	observe	VERB
ejpam-6311	394	51	image	image	NOUN
ejpam-6311	394	52	hi	hi	INTJ
ejpam-6311	394	53	for	for	ADP
ejpam-6311	394	54	all	all	DET
ejpam-6311	394	55	i	i	PRON
ejpam-6311	394	56	=	=	NOUN
ejpam-6311	394	57	1	1	NUM
ejpam-6311	394	58	,	,	PUNCT
ejpam-6311	394	59	2	2	NUM
ejpam-6311	394	60	,	,	PUNCT
ejpam-6311	394	61	.	.	PUNCT
ejpam-6311	394	62	.	.	PUNCT
ejpam-6311	395	1	.	.	PUNCT
ejpam-6311	396	1	,	,	PUNCT
ejpam-6311	396	2	n	n	X
ejpam-6311	396	3	.	.	PUNCT
ejpam-6311	397	1	the	the	DET
ejpam-6311	397	2	objective	objective	NOUN
ejpam-6311	397	3	is	be	AUX
ejpam-6311	397	4	to	to	PART
ejpam-6311	397	5	reconstruct	reconstruct	VERB
ejpam-6311	397	6	the	the	DET
ejpam-6311	397	7	latent	latent	NOUN
ejpam-6311	397	8	image	image	NOUN
ejpam-6311	397	9	x∗	x∗	PROPN
ejpam-6311	397	10	from	from	ADP
ejpam-6311	397	11	degraded	degraded	ADJ
ejpam-6311	397	12	observations	observation	NOUN
ejpam-6311	397	13	hi	hi	PROPN
ejpam-6311	397	14	,	,	PUNCT
ejpam-6311	397	15	which	which	PRON
ejpam-6311	397	16	are	be	AUX
ejpam-6311	397	17	corrupted	corrupt	VERB
ejpam-6311	397	18	by	by	ADP
ejpam-6311	397	19	both	both	CCONJ
ejpam-6311	397	20	blur	blur	NOUN
ejpam-6311	397	21	and	and	CCONJ
ejpam-6311	397	22	noise	noise	NOUN
ejpam-6311	397	23	.	.	PUNCT
ejpam-6311	398	1	this	this	DET
ejpam-6311	398	2	inverse	inverse	NOUN
ejpam-6311	398	3	problem	problem	NOUN
ejpam-6311	398	4	is	be	AUX
ejpam-6311	398	5	addressed	address	VERB
ejpam-6311	398	6	through	through	ADP
ejpam-6311	398	7	a	a	DET
ejpam-6311	398	8	sequence	sequence	NOUN
ejpam-6311	398	9	of	of	ADP
ejpam-6311	398	10	optimization	optimization	NOUN
ejpam-6311	398	11	procedures	procedure	NOUN
ejpam-6311	398	12	,	,	PUNCT
ejpam-6311	398	13	each	each	PRON
ejpam-6311	398	14	corresponding	correspond	VERB
ejpam-6311	398	15	to	to	ADP
ejpam-6311	398	16	a	a	DET
ejpam-6311	398	17	different	different	ADJ
ejpam-6311	398	18	blurring	blur	VERB
ejpam-6311	398	19	filter	filter	NOUN
ejpam-6311	398	20	:	:	PUNCT
ejpam-6311	398	21	min	min	NOUN
ejpam-6311	398	22	x	x	SYM
ejpam-6311	398	23	ζi∥x∥1	ζi∥x∥1	ADV
ejpam-6311	398	24	+	+	CCONJ
ejpam-6311	398	25	1	1	NUM
ejpam-6311	398	26	2	2	NUM
ejpam-6311	398	27	∥mix−	∥mix−	NOUN
ejpam-6311	398	28	hi∥22	hi∥22	ADJ
ejpam-6311	398	29	where	where	SCONJ
ejpam-6311	398	30	ζi	ζi	PUNCT
ejpam-6311	398	31	>	>	X
ejpam-6311	398	32	0	0	NUM
ejpam-6311	398	33	is	be	AUX
ejpam-6311	398	34	a	a	DET
ejpam-6311	398	35	regularization	regularization	NOUN
ejpam-6311	398	36	parameter	parameter	NOUN
ejpam-6311	398	37	for	for	ADP
ejpam-6311	398	38	all	all	DET
ejpam-6311	398	39	i	i	PRON
ejpam-6311	398	40	=	=	NOUN
ejpam-6311	398	41	1	1	NUM
ejpam-6311	398	42	,	,	PUNCT
ejpam-6311	398	43	2	2	NUM
ejpam-6311	398	44	,	,	PUNCT
ejpam-6311	398	45	.	.	PUNCT
ejpam-6311	398	46	.	.	PUNCT
ejpam-6311	399	1	.	.	PUNCT
ejpam-6311	400	1	,	,	PUNCT
ejpam-6311	400	2	n	n	X
ejpam-6311	400	3	.	.	PUNCT
ejpam-6311	401	1	to	to	PART
ejpam-6311	401	2	apply	apply	VERB
ejpam-6311	401	3	our	our	PRON
ejpam-6311	401	4	main	main	ADJ
ejpam-6311	401	5	result	result	NOUN
ejpam-6311	401	6	in	in	ADP
ejpam-6311	401	7	solving	solve	VERB
ejpam-6311	401	8	the	the	DET
ejpam-6311	401	9	optimization	optimization	NOUN
ejpam-6311	401	10	problems	problem	NOUN
ejpam-6311	401	11	,	,	PUNCT
ejpam-6311	401	12	for	for	ADP
ejpam-6311	401	13	all	all	DET
ejpam-6311	401	14	i	i	PRON
ejpam-6311	401	15	=	=	NOUN
ejpam-6311	401	16	1	1	NUM
ejpam-6311	401	17	,	,	PUNCT
ejpam-6311	401	18	2	2	NUM
ejpam-6311	401	19	,	,	PUNCT
ejpam-6311	401	20	.	.	PUNCT
ejpam-6311	402	1	.	.	PUNCT
ejpam-6311	403	1	.	.	PUNCT
ejpam-6311	404	1	,	,	PUNCT
ejpam-6311	404	2	n	n	X
ejpam-6311	404	3	,	,	PUNCT
ejpam-6311	404	4	we	we	PRON
ejpam-6311	404	5	define	define	VERB
ejpam-6311	404	6	ji	ji	PROPN
ejpam-6311	404	7	(	(	PUNCT
ejpam-6311	404	8	·	·	PUNCT
ejpam-6311	404	9	)	)	PUNCT
ejpam-6311	405	1	=	=	PRON
ejpam-6311	405	2	proxsigi	proxsigi	PROPN
ejpam-6311	405	3	(	(	PUNCT
ejpam-6311	405	4	i	i	PRON
ejpam-6311	405	5	−	−	PROPN
ejpam-6311	405	6	si∇fi	si∇fi	NUM
ejpam-6311	405	7	)	)	PUNCT
ejpam-6311	405	8	(	(	PUNCT
ejpam-6311	405	9	·	·	PUNCT
ejpam-6311	405	10	)	)	PUNCT
ejpam-6311	405	11	,	,	PUNCT
ejpam-6311	405	12	where	where	SCONJ
ejpam-6311	405	13	fi	fi	NOUN
ejpam-6311	405	14	(	(	PUNCT
ejpam-6311	405	15	·	·	PUNCT
ejpam-6311	405	16	)	)	PUNCT
ejpam-6311	405	17	=	=	SYM
ejpam-6311	405	18	1	1	NUM
ejpam-6311	405	19	2	2	NUM
ejpam-6311	405	20	∥mi	∥mi	PROPN
ejpam-6311	405	21	(	(	PUNCT
ejpam-6311	405	22	·	·	PUNCT
ejpam-6311	405	23	)	)	PUNCT
ejpam-6311	405	24	−	−	NOUN
ejpam-6311	406	1	hi∥22	hi∥22	ADJ
ejpam-6311	406	2	,	,	PUNCT
ejpam-6311	406	3	gi	gi	INTJ
ejpam-6311	406	4	(	(	PUNCT
ejpam-6311	406	5	·	·	PUNCT
ejpam-6311	406	6	)	)	PUNCT
ejpam-6311	406	7	=	=	PUNCT
ejpam-6311	407	1	ζi∥	ζi∥	PROPN
ejpam-6311	407	2	·	·	PUNCT
ejpam-6311	407	3	∥1	∥1	NOUN
ejpam-6311	407	4	and	and	CCONJ
ejpam-6311	407	5	0	0	NUM
ejpam-6311	407	6	<	<	X
ejpam-6311	407	7	si	si	X
ejpam-6311	407	8	<	<	X
ejpam-6311	407	9	2	2	NUM
ejpam-6311	407	10	∥mi∥22	∥mi∥22	ADJ
ejpam-6311	407	11	.	.	PUNCT
ejpam-6311	408	1	consequently	consequently	ADV
ejpam-6311	408	2	,	,	PUNCT
ejpam-6311	408	3	{	{	PUNCT
ejpam-6311	408	4	ji	ji	INTJ
ejpam-6311	408	5	:	:	PUNCT
ejpam-6311	408	6	i	i	NOUN
ejpam-6311	408	7	=	=	NOUN
ejpam-6311	408	8	1	1	NUM
ejpam-6311	408	9	,	,	PUNCT
ejpam-6311	408	10	2	2	NUM
ejpam-6311	408	11	,	,	PUNCT
ejpam-6311	408	12	.	.	PUNCT
ejpam-6311	408	13	.	.	PUNCT
ejpam-6311	408	14	.	.	PUNCT
ejpam-6311	409	1	,	,	PUNCT
ejpam-6311	409	2	n	n	CCONJ
ejpam-6311	409	3	}	}	PUNCT
ejpam-6311	409	4	is	be	AUX
ejpam-6311	409	5	established	establish	VERB
ejpam-6311	409	6	as	as	ADP
ejpam-6311	409	7	a	a	DET
ejpam-6311	409	8	family	family	NOUN
ejpam-6311	409	9	of	of	ADP
ejpam-6311	409	10	g	g	PROPN
ejpam-6311	409	11	-	-	PUNCT
ejpam-6311	409	12	nonexpansive	nonexpansive	ADJ
ejpam-6311	409	13	mappings	mapping	NOUN
ejpam-6311	409	14	,	,	PUNCT
ejpam-6311	409	15	given	give	VERB
ejpam-6311	409	16	that	that	SCONJ
ejpam-6311	409	17	the	the	DET
ejpam-6311	409	18	associated	associated	ADJ
ejpam-6311	409	19	graph	graph	NOUN
ejpam-6311	409	20	g	g	PROPN
ejpam-6311	409	21	is	be	AUX
ejpam-6311	409	22	the	the	DET
ejpam-6311	409	23	trivially	trivially	ADV
ejpam-6311	409	24	defined	define	VERB
ejpam-6311	409	25	complete	complete	ADJ
ejpam-6311	409	26	graph	graph	NOUN
ejpam-6311	409	27	.	.	PUNCT
ejpam-6311	410	1	s.	s.	PROPN
ejpam-6311	410	2	panma	panma	PROPN
ejpam-6311	410	3	,	,	PUNCT
ejpam-6311	410	4	r.	r.	PROPN
ejpam-6311	410	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	410	6	,	,	PUNCT
ejpam-6311	410	7	t.	t.	NOUN
ejpam-6311	410	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	410	9	/	/	SYM
ejpam-6311	410	10	eur	eur	PROPN
ejpam-6311	410	11	.	.	PUNCT
ejpam-6311	411	1	j.	j.	PROPN
ejpam-6311	411	2	pure	pure	PROPN
ejpam-6311	411	3	appl	appl	PROPN
ejpam-6311	411	4	.	.	PROPN
ejpam-6311	411	5	math	math	PROPN
ejpam-6311	411	6	,	,	PUNCT
ejpam-6311	411	7	18	18	NUM
ejpam-6311	411	8	(	(	PUNCT
ejpam-6311	411	9	3	3	NUM
ejpam-6311	411	10	)	)	PUNCT
ejpam-6311	411	11	(	(	PUNCT
ejpam-6311	411	12	2025	2025	NUM
ejpam-6311	411	13	)	)	PUNCT
ejpam-6311	411	14	,	,	PUNCT
ejpam-6311	411	15	6311	6311	NUM
ejpam-6311	411	16	13	13	NUM
ejpam-6311	411	17	of	of	ADP
ejpam-6311	411	18	20	20	NUM
ejpam-6311	411	19	(	(	PUNCT
ejpam-6311	411	20	a	a	PRON
ejpam-6311	411	21	)	)	PUNCT
ejpam-6311	411	22	chiang	chiang	PROPN
ejpam-6311	411	23	mai	mai	PROPN
ejpam-6311	411	24	international	international	PROPN
ejpam-6311	411	25	airport	airport	PROPN
ejpam-6311	411	26	(	(	PUNCT
ejpam-6311	411	27	cnx	cnx	PROPN
ejpam-6311	411	28	)	)	PUNCT
ejpam-6311	411	29	in	in	ADP
ejpam-6311	411	30	april	april	PROPN
ejpam-6311	411	31	2024	2024	NUM
ejpam-6311	411	32	(	(	PUNCT
ejpam-6311	411	33	b	b	X
ejpam-6311	411	34	)	)	PUNCT
ejpam-6311	411	35	hazy	hazy	ADJ
ejpam-6311	411	36	skies	sky	NOUN
ejpam-6311	411	37	in	in	ADP
ejpam-6311	411	38	chiang	chiang	PROPN
ejpam-6311	411	39	mai	mai	PROPN
ejpam-6311	411	40	figure	figure	NOUN
ejpam-6311	411	41	1	1	NUM
ejpam-6311	411	42	:	:	PUNCT
ejpam-6311	411	43	original	original	ADJ
ejpam-6311	411	44	test	test	NOUN
ejpam-6311	411	45	images	image	NOUN
ejpam-6311	411	46	.	.	PUNCT
ejpam-6311	412	1	figure	figure	NOUN
ejpam-6311	412	2	1	1	NUM
ejpam-6311	412	3	shows	show	VERB
ejpam-6311	412	4	the	the	DET
ejpam-6311	412	5	original	original	ADJ
ejpam-6311	412	6	test	test	NOUN
ejpam-6311	412	7	images	image	NOUN
ejpam-6311	412	8	:	:	PUNCT
ejpam-6311	412	9	(	(	PUNCT
ejpam-6311	412	10	a	a	X
ejpam-6311	412	11	)	)	PUNCT
ejpam-6311	412	12	chiang	chiang	PROPN
ejpam-6311	412	13	mai	mai	PROPN
ejpam-6311	412	14	international	international	PROPN
ejpam-6311	412	15	airport	airport	PROPN
ejpam-6311	412	16	,	,	PUNCT
ejpam-6311	412	17	with	with	ADP
ejpam-6311	412	18	a	a	DET
ejpam-6311	412	19	resolution	resolution	NOUN
ejpam-6311	412	20	of	of	ADP
ejpam-6311	412	21	962×	962×	NOUN
ejpam-6311	412	22	1000×	1000×	NUM
ejpam-6311	412	23	3	3	NUM
ejpam-6311	412	24	pixels	pixel	NOUN
ejpam-6311	412	25	,	,	PUNCT
ejpam-6311	412	26	taken	take	VERB
ejpam-6311	412	27	with	with	ADP
ejpam-6311	412	28	samsung	samsung	PROPN
ejpam-6311	412	29	galaxy	galaxy	PROPN
ejpam-6311	412	30	s22	s22	PROPN
ejpam-6311	412	31	ultra	ultra	PROPN
ejpam-6311	412	32	,	,	PUNCT
ejpam-6311	412	33	and	and	CCONJ
ejpam-6311	412	34	(	(	PUNCT
ejpam-6311	412	35	b	b	X
ejpam-6311	412	36	)	)	PUNCT
ejpam-6311	412	37	hazy	hazy	ADJ
ejpam-6311	412	38	skies	sky	NOUN
ejpam-6311	412	39	in	in	ADP
ejpam-6311	412	40	chiang	chiang	PROPN
ejpam-6311	412	41	mai	mai	PROPN
ejpam-6311	412	42	,	,	PUNCT
ejpam-6311	412	43	with	with	ADP
ejpam-6311	412	44	a	a	DET
ejpam-6311	412	45	resolution	resolution	NOUN
ejpam-6311	412	46	of	of	ADP
ejpam-6311	412	47	1000×	1000×	NUM
ejpam-6311	412	48	862×	862×	PROPN
ejpam-6311	412	49	3	3	NUM
ejpam-6311	412	50	pixels	pixel	NOUN
ejpam-6311	412	51	,	,	PUNCT
ejpam-6311	412	52	selected	select	VERB
ejpam-6311	412	53	from	from	ADP
ejpam-6311	412	54	the	the	DET
ejpam-6311	412	55	nasa	nasa	PROPN
ejpam-6311	412	56	visible	visible	ADJ
ejpam-6311	412	57	earth	earth	NOUN
ejpam-6311	412	58	website	website	NOUN
ejpam-6311	412	59	.	.	PUNCT
ejpam-6311	413	1	the	the	DET
ejpam-6311	413	2	three	three	NUM
ejpam-6311	413	3	blurring	blur	VERB
ejpam-6311	413	4	filters	filter	NOUN
ejpam-6311	413	5	,	,	PUNCT
ejpam-6311	413	6	m1	m1	PROPN
ejpam-6311	413	7	,	,	PUNCT
ejpam-6311	413	8	m2	m2	PROPN
ejpam-6311	413	9	and	and	CCONJ
ejpam-6311	413	10	m3	m3	PROPN
ejpam-6311	413	11	,	,	PUNCT
ejpam-6311	413	12	are	be	AUX
ejpam-6311	413	13	generated	generate	VERB
ejpam-6311	413	14	using	use	VERB
ejpam-6311	413	15	a	a	DET
ejpam-6311	413	16	motion	motion	NOUN
ejpam-6311	413	17	blur	blur	NOUN
ejpam-6311	413	18	kernel	kernel	NOUN
ejpam-6311	413	19	with	with	ADP
ejpam-6311	413	20	a	a	DET
ejpam-6311	413	21	motion	motion	NOUN
ejpam-6311	413	22	length	length	NOUN
ejpam-6311	413	23	of	of	ADP
ejpam-6311	413	24	29	29	NUM
ejpam-6311	413	25	.	.	PUNCT
ejpam-6311	414	1	specifically	specifically	ADV
ejpam-6311	414	2	,	,	PUNCT
ejpam-6311	414	3	m1	m1	PROPN
ejpam-6311	414	4	corresponds	correspond	VERB
ejpam-6311	414	5	to	to	ADP
ejpam-6311	414	6	an	an	DET
ejpam-6311	414	7	angle	angle	NOUN
ejpam-6311	414	8	of	of	ADP
ejpam-6311	414	9	0	0	NUM
ejpam-6311	414	10	◦	◦	NOUN
ejpam-6311	414	11	,	,	PUNCT
ejpam-6311	414	12	m2	m2	PROPN
ejpam-6311	414	13	to	to	ADP
ejpam-6311	414	14	45	45	NUM
ejpam-6311	414	15	◦	◦	NOUN
ejpam-6311	414	16	,	,	PUNCT
ejpam-6311	414	17	and	and	CCONJ
ejpam-6311	414	18	m3	m3	PROPN
ejpam-6311	414	19	to	to	ADP
ejpam-6311	414	20	90	90	NUM
ejpam-6311	414	21	◦	◦	NOUN
ejpam-6311	414	22	.	.	PUNCT
ejpam-6311	415	1	an	an	DET
ejpam-6311	415	2	additive	additive	ADJ
ejpam-6311	415	3	zero	zero	NUM
ejpam-6311	415	4	-	-	PUNCT
ejpam-6311	415	5	mean	mean	ADJ
ejpam-6311	415	6	white	white	ADJ
ejpam-6311	415	7	gaussian	gaussian	NOUN
ejpam-6311	415	8	noise	noise	NOUN
ejpam-6311	415	9	with	with	ADP
ejpam-6311	415	10	a	a	DET
ejpam-6311	415	11	standard	standard	ADJ
ejpam-6311	415	12	deviation	deviation	NOUN
ejpam-6311	415	13	of	of	ADP
ejpam-6311	415	14	10−3	10−3	NUM
ejpam-6311	415	15	is	be	AUX
ejpam-6311	415	16	then	then	ADV
ejpam-6311	415	17	added	add	VERB
ejpam-6311	415	18	for	for	ADP
ejpam-6311	415	19	all	all	DET
ejpam-6311	415	20	i	i	PRON
ejpam-6311	415	21	=	=	NOUN
ejpam-6311	415	22	1	1	NUM
ejpam-6311	415	23	,	,	PUNCT
ejpam-6311	415	24	2	2	NUM
ejpam-6311	415	25	,	,	PUNCT
ejpam-6311	415	26	3	3	NUM
ejpam-6311	415	27	.	.	X
ejpam-6311	416	1	the	the	DET
ejpam-6311	416	2	resulting	result	VERB
ejpam-6311	416	3	degraded	degraded	ADJ
ejpam-6311	416	4	images	image	NOUN
ejpam-6311	416	5	are	be	AUX
ejpam-6311	416	6	presented	present	VERB
ejpam-6311	416	7	in	in	ADP
ejpam-6311	416	8	figure	figure	NOUN
ejpam-6311	416	9	2	2	NUM
ejpam-6311	416	10	.	.	PUNCT
ejpam-6311	417	1	we	we	PRON
ejpam-6311	417	2	investigate	investigate	VERB
ejpam-6311	417	3	the	the	DET
ejpam-6311	417	4	behavior	behavior	NOUN
ejpam-6311	417	5	of	of	ADP
ejpam-6311	417	6	our	our	PRON
ejpam-6311	417	7	algorithm	algorithm	NOUN
ejpam-6311	417	8	and	and	CCONJ
ejpam-6311	417	9	then	then	ADV
ejpam-6311	417	10	compare	compare	VERB
ejpam-6311	417	11	it	it	PRON
ejpam-6311	417	12	with	with	ADP
ejpam-6311	417	13	algorithm	algorithm	NOUN
ejpam-6311	417	14	2	2	NUM
ejpam-6311	417	15	and	and	CCONJ
ejpam-6311	417	16	algorithm	algorithm	NOUN
ejpam-6311	417	17	3	3	NUM
ejpam-6311	417	18	under	under	ADP
ejpam-6311	417	19	the	the	DET
ejpam-6311	417	20	following	follow	VERB
ejpam-6311	417	21	assumptions	assumption	NOUN
ejpam-6311	417	22	.	.	PUNCT
ejpam-6311	418	1	(	(	PUNCT
ejpam-6311	418	2	i	i	NOUN
ejpam-6311	418	3	)	)	PUNCT
ejpam-6311	418	4	for	for	ADP
ejpam-6311	418	5	recovering	recover	VERB
ejpam-6311	418	6	figure	figure	NOUN
ejpam-6311	418	7	2	2	NUM
ejpam-6311	418	8	(	(	PUNCT
ejpam-6311	418	9	a	a	NOUN
ejpam-6311	418	10	)	)	PUNCT
ejpam-6311	418	11	(	(	PUNCT
ejpam-6311	418	12	c	c	NOUN
ejpam-6311	418	13	)	)	PUNCT
ejpam-6311	418	14	,	,	PUNCT
ejpam-6311	418	15	let	let	VERB
ejpam-6311	418	16	x0	x0	PROPN
ejpam-6311	418	17	=	=	PUNCT
ejpam-6311	419	1	x1	x1	PROPN
ejpam-6311	419	2	=	=	SYM
ejpam-6311	419	3	1	1	NUM
ejpam-6311	419	4	∈	∈	NOUN
ejpam-6311	419	5	x	x	X
ejpam-6311	419	6	:	:	PUNCT
ejpam-6311	419	7	=	=	SYM
ejpam-6311	419	8	r962×1000×3	r962×1000×3	PROPN
ejpam-6311	419	9	.	.	PUNCT
ejpam-6311	419	10	(	(	PUNCT
ejpam-6311	419	11	ii	ii	NOUN
ejpam-6311	419	12	)	)	PUNCT
ejpam-6311	419	13	for	for	ADP
ejpam-6311	419	14	recovering	recover	VERB
ejpam-6311	419	15	figure	figure	NOUN
ejpam-6311	419	16	2	2	NUM
ejpam-6311	419	17	(	(	PUNCT
ejpam-6311	419	18	d	d	NOUN
ejpam-6311	419	19	)	)	PUNCT
ejpam-6311	419	20	(	(	PUNCT
ejpam-6311	419	21	f	f	X
ejpam-6311	419	22	)	)	PUNCT
ejpam-6311	419	23	,	,	PUNCT
ejpam-6311	419	24	let	let	VERB
ejpam-6311	419	25	x0	x0	PROPN
ejpam-6311	419	26	=	=	PUNCT
ejpam-6311	420	1	x1	x1	PROPN
ejpam-6311	420	2	=	=	SYM
ejpam-6311	420	3	1	1	NUM
ejpam-6311	420	4	∈	∈	NOUN
ejpam-6311	420	5	x	x	X
ejpam-6311	420	6	:	:	PUNCT
ejpam-6311	420	7	=	=	SYM
ejpam-6311	420	8	r1000×862×3	r1000×862×3	PROPN
ejpam-6311	420	9	.	.	PUNCT
ejpam-6311	420	10	(	(	PUNCT
ejpam-6311	420	11	iii	iii	NOUN
ejpam-6311	420	12	)	)	PUNCT
ejpam-6311	420	13	set	set	VERB
ejpam-6311	420	14	ζi	ζi	PROPN
ejpam-6311	420	15	=	=	SYM
ejpam-6311	420	16	10−3	10−3	NUM
ejpam-6311	420	17	,	,	PUNCT
ejpam-6311	420	18	for	for	ADP
ejpam-6311	420	19	all	all	DET
ejpam-6311	420	20	i	i	PRON
ejpam-6311	420	21	=	=	NOUN
ejpam-6311	420	22	1	1	NUM
ejpam-6311	420	23	,	,	PUNCT
ejpam-6311	420	24	2	2	NUM
ejpam-6311	420	25	,	,	PUNCT
ejpam-6311	420	26	3	3	NUM
ejpam-6311	420	27	.	.	PUNCT
ejpam-6311	420	28	(	(	PUNCT
ejpam-6311	420	29	iv	iv	X
ejpam-6311	420	30	)	)	PUNCT
ejpam-6311	420	31	set	set	VERB
ejpam-6311	420	32	t0	t0	NOUN
ejpam-6311	420	33	=	=	SYM
ejpam-6311	420	34	1	1	NUM
ejpam-6311	420	35	,	,	PUNCT
ejpam-6311	420	36	and	and	CCONJ
ejpam-6311	420	37	define	define	VERB
ejpam-6311	420	38	tn	tn	NOUN
ejpam-6311	420	39	=	=	SYM
ejpam-6311	420	40	1	1	NUM
ejpam-6311	420	41	+	+	CCONJ
ejpam-6311	420	42	√	√	NUM
ejpam-6311	420	43	1	1	NUM
ejpam-6311	420	44	+	+	CCONJ
ejpam-6311	420	45	4t2n−1	4t2n−1	NUM
ejpam-6311	420	46	2	2	NUM
ejpam-6311	420	47	for	for	ADP
ejpam-6311	420	48	all	all	DET
ejpam-6311	420	49	n	n	PRON
ejpam-6311	420	50	∈	∈	PROPN
ejpam-6311	420	51	n.	n.	PROPN
ejpam-6311	420	52	s.	s.	PROPN
ejpam-6311	420	53	panma	panma	PROPN
ejpam-6311	420	54	,	,	PUNCT
ejpam-6311	420	55	r.	r.	PROPN
ejpam-6311	420	56	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	420	57	,	,	PUNCT
ejpam-6311	420	58	t.	t.	NOUN
ejpam-6311	420	59	chaobankoh	chaobankoh	PROPN
ejpam-6311	420	60	/	/	SYM
ejpam-6311	420	61	eur	eur	PROPN
ejpam-6311	420	62	.	.	PUNCT
ejpam-6311	421	1	j.	j.	PROPN
ejpam-6311	421	2	pure	pure	PROPN
ejpam-6311	421	3	appl	appl	PROPN
ejpam-6311	421	4	.	.	PROPN
ejpam-6311	421	5	math	math	PROPN
ejpam-6311	421	6	,	,	PUNCT
ejpam-6311	421	7	18	18	NUM
ejpam-6311	421	8	(	(	PUNCT
ejpam-6311	421	9	3	3	NUM
ejpam-6311	421	10	)	)	PUNCT
ejpam-6311	421	11	(	(	PUNCT
ejpam-6311	421	12	2025	2025	NUM
ejpam-6311	421	13	)	)	PUNCT
ejpam-6311	421	14	,	,	PUNCT
ejpam-6311	421	15	6311	6311	NUM
ejpam-6311	421	16	14	14	NUM
ejpam-6311	421	17	of	of	ADP
ejpam-6311	421	18	20	20	NUM
ejpam-6311	421	19	(	(	PUNCT
ejpam-6311	421	20	a	a	PRON
ejpam-6311	421	21	)	)	PUNCT
ejpam-6311	421	22	m1	m1	NOUN
ejpam-6311	421	23	(	(	PUNCT
ejpam-6311	421	24	b	b	NOUN
ejpam-6311	421	25	)	)	PUNCT
ejpam-6311	421	26	m2	m2	PROPN
ejpam-6311	421	27	(	(	PUNCT
ejpam-6311	421	28	c	c	NOUN
ejpam-6311	421	29	)	)	PUNCT
ejpam-6311	421	30	m3	m3	PROPN
ejpam-6311	421	31	(	(	PUNCT
ejpam-6311	421	32	d	d	NOUN
ejpam-6311	421	33	)	)	PUNCT
ejpam-6311	421	34	m1	m1	NOUN
ejpam-6311	421	35	(	(	PUNCT
ejpam-6311	421	36	e	e	NOUN
ejpam-6311	421	37	)	)	PUNCT
ejpam-6311	421	38	m2	m2	PROPN
ejpam-6311	421	39	(	(	PUNCT
ejpam-6311	421	40	f	f	X
ejpam-6311	421	41	)	)	PUNCT
ejpam-6311	421	42	m3	m3	PROPN
ejpam-6311	421	43	figure	figure	NOUN
ejpam-6311	421	44	2	2	NUM
ejpam-6311	421	45	:	:	PUNCT
ejpam-6311	421	46	degraded	degraded	ADJ
ejpam-6311	421	47	images	image	NOUN
ejpam-6311	421	48	.	.	PUNCT
ejpam-6311	422	1	(	(	PUNCT
ejpam-6311	422	2	v	v	NOUN
ejpam-6311	422	3	)	)	PUNCT
ejpam-6311	422	4	define	define	VERB
ejpam-6311	422	5	the	the	DET
ejpam-6311	422	6	sequence	sequence	NOUN
ejpam-6311	422	7	{	{	PUNCT
ejpam-6311	422	8	βn	βn	NOUN
ejpam-6311	422	9	}	}	PUNCT
ejpam-6311	422	10	by	by	ADP
ejpam-6311	422	11	βn	βn	NOUN
ejpam-6311	422	12	=	=	SYM
ejpam-6311	422	13			PROPN
ejpam-6311	422	14	min	min	NOUN
ejpam-6311	422	15	{	{	PUNCT
ejpam-6311	422	16	1	1	NUM
ejpam-6311	422	17	n2∥xn	n2∥xn	PROPN
ejpam-6311	422	18	−	−	PROPN
ejpam-6311	422	19	xn−1∥2	xn−1∥2	PROPN
ejpam-6311	422	20	,	,	PUNCT
ejpam-6311	422	21	0.5	0.5	NUM
ejpam-6311	422	22	}	}	PUNCT
ejpam-6311	422	23	if	if	SCONJ
ejpam-6311	422	24	xn	xn	PROPN
ejpam-6311	422	25	̸=	̸=	PROPN
ejpam-6311	422	26	xn−1	xn−1	PROPN
ejpam-6311	422	27	and	and	CCONJ
ejpam-6311	422	28	n	n	CCONJ
ejpam-6311	422	29	>	>	X
ejpam-6311	422	30	100	100	NUM
ejpam-6311	422	31	;	;	PUNCT
ejpam-6311	422	32	0.5	0.5	NUM
ejpam-6311	422	33	if	if	SCONJ
ejpam-6311	422	34	xn	xn	NOUN
ejpam-6311	422	35	=	=	SYM
ejpam-6311	422	36	xn−1	xn−1	PROPN
ejpam-6311	422	37	and	and	CCONJ
ejpam-6311	422	38	n	n	CCONJ
ejpam-6311	422	39	>	>	X
ejpam-6311	422	40	100	100	NUM
ejpam-6311	422	41	;	;	PUNCT
ejpam-6311	422	42	tn−1	tn−1	PROPN
ejpam-6311	422	43	−	−	NOUN
ejpam-6311	422	44	1	1	NUM
ejpam-6311	422	45	tn	tn	NOUN
ejpam-6311	422	46	otherwise	otherwise	ADV
ejpam-6311	422	47	for	for	ADP
ejpam-6311	422	48	all	all	PRON
ejpam-6311	422	49	n	n	DET
ejpam-6311	422	50	∈	∈	PROPN
ejpam-6311	422	51	n.	n.	NOUN
ejpam-6311	422	52	the	the	DET
ejpam-6311	422	53	further	further	ADJ
ejpam-6311	422	54	control	control	NOUN
ejpam-6311	422	55	parameters	parameter	NOUN
ejpam-6311	422	56	of	of	ADP
ejpam-6311	422	57	the	the	DET
ejpam-6311	422	58	three	three	NUM
ejpam-6311	422	59	algorithms	algorithm	NOUN
ejpam-6311	422	60	are	be	AUX
ejpam-6311	422	61	detailed	detail	VERB
ejpam-6311	422	62	in	in	ADP
ejpam-6311	422	63	table	table	NOUN
ejpam-6311	422	64	1	1	NUM
ejpam-6311	422	65	.	.	PUNCT
ejpam-6311	423	1	figure	figure	NOUN
ejpam-6311	423	2	3	3	NUM
ejpam-6311	423	3	(	(	PUNCT
ejpam-6311	423	4	a	a	NOUN
ejpam-6311	423	5	)	)	PUNCT
ejpam-6311	423	6	(	(	PUNCT
ejpam-6311	423	7	c	c	X
ejpam-6311	423	8	)	)	PUNCT
ejpam-6311	423	9	presents	present	VERB
ejpam-6311	423	10	the	the	DET
ejpam-6311	423	11	recovered	recover	VERB
ejpam-6311	423	12	images	image	NOUN
ejpam-6311	423	13	from	from	ADP
ejpam-6311	423	14	figure	figure	NOUN
ejpam-6311	423	15	2	2	NUM
ejpam-6311	423	16	(	(	PUNCT
ejpam-6311	423	17	a	a	NOUN
ejpam-6311	423	18	)	)	PUNCT
ejpam-6311	423	19	(	(	PUNCT
ejpam-6311	423	20	c	c	X
ejpam-6311	423	21	)	)	PUNCT
ejpam-6311	423	22	utilizing	utilize	VERB
ejpam-6311	423	23	algorithm	algorithm	NOUN
ejpam-6311	423	24	2	2	NUM
ejpam-6311	423	25	,	,	PUNCT
ejpam-6311	423	26	algorithm	algorithm	NOUN
ejpam-6311	423	27	3	3	NUM
ejpam-6311	423	28	and	and	CCONJ
ejpam-6311	423	29	algorithm	algorithm	NOUN
ejpam-6311	423	30	1	1	NUM
ejpam-6311	423	31	,	,	PUNCT
ejpam-6311	423	32	respectively	respectively	ADV
ejpam-6311	423	33	.	.	PUNCT
ejpam-6311	424	1	similarly	similarly	ADV
ejpam-6311	424	2	,	,	PUNCT
ejpam-6311	424	3	figure	figure	VERB
ejpam-6311	424	4	3	3	NUM
ejpam-6311	424	5	(	(	PUNCT
ejpam-6311	424	6	d	d	NOUN
ejpam-6311	424	7	)	)	PUNCT
ejpam-6311	424	8	(	(	PUNCT
ejpam-6311	424	9	f	f	X
ejpam-6311	424	10	)	)	PUNCT
ejpam-6311	424	11	depicts	depict	VERB
ejpam-6311	424	12	the	the	DET
ejpam-6311	424	13	recovered	recover	VERB
ejpam-6311	424	14	images	image	NOUN
ejpam-6311	424	15	from	from	ADP
ejpam-6311	424	16	figure	figure	NOUN
ejpam-6311	424	17	2	2	NUM
ejpam-6311	424	18	(	(	PUNCT
ejpam-6311	424	19	d	d	NOUN
ejpam-6311	424	20	)	)	PUNCT
ejpam-6311	424	21	(	(	PUNCT
ejpam-6311	424	22	f	f	X
ejpam-6311	424	23	)	)	PUNCT
ejpam-6311	424	24	using	use	VERB
ejpam-6311	424	25	the	the	DET
ejpam-6311	424	26	same	same	ADJ
ejpam-6311	424	27	respective	respective	ADJ
ejpam-6311	424	28	methods	method	NOUN
ejpam-6311	424	29	.	.	PUNCT
ejpam-6311	425	1	each	each	DET
ejpam-6311	425	2	image	image	NOUN
ejpam-6311	425	3	shown	show	VERB
ejpam-6311	425	4	in	in	ADP
ejpam-6311	425	5	figure	figure	NOUN
ejpam-6311	425	6	3	3	NUM
ejpam-6311	425	7	is	be	AUX
ejpam-6311	425	8	the	the	DET
ejpam-6311	425	9	result	result	NOUN
ejpam-6311	425	10	of	of	ADP
ejpam-6311	425	11	100	100	NUM
ejpam-6311	425	12	iterations	iteration	NOUN
ejpam-6311	425	13	(	(	PUNCT
ejpam-6311	425	14	n	n	NOUN
ejpam-6311	425	15	=	=	NUM
ejpam-6311	425	16	100	100	NUM
ejpam-6311	425	17	)	)	PUNCT
ejpam-6311	425	18	.	.	PUNCT
ejpam-6311	426	1	the	the	DET
ejpam-6311	426	2	performance	performance	NOUN
ejpam-6311	426	3	of	of	ADP
ejpam-6311	426	4	the	the	DET
ejpam-6311	426	5	algorithms	algorithm	NOUN
ejpam-6311	426	6	in	in	ADP
ejpam-6311	426	7	the	the	DET
ejpam-6311	426	8	image	image	NOUN
ejpam-6311	426	9	recovery	recovery	NOUN
ejpam-6311	426	10	process	process	NOUN
ejpam-6311	426	11	is	be	AUX
ejpam-6311	426	12	quantitatively	quantitatively	ADV
ejpam-6311	426	13	assessed	assess	VERB
ejpam-6311	426	14	using	use	VERB
ejpam-6311	426	15	gradient	gradient	ADJ
ejpam-6311	426	16	magnitude	magnitude	NOUN
ejpam-6311	426	17	similarity	similarity	NOUN
ejpam-6311	426	18	deviation	deviation	NOUN
ejpam-6311	426	19	(	(	PUNCT
ejpam-6311	426	20	gmsd	gmsd	NOUN
ejpam-6311	426	21	)	)	PUNCT
ejpam-6311	427	1	[	[	X
ejpam-6311	427	2	20	20	NUM
ejpam-6311	427	3	]	]	PUNCT
ejpam-6311	427	4	and	and	CCONJ
ejpam-6311	427	5	multi	multi	ADJ
ejpam-6311	427	6	-	-	ADJ
ejpam-6311	427	7	scale	scale	ADJ
ejpam-6311	427	8	gradient	gradient	ADJ
ejpam-6311	427	9	magnitude	magnitude	NOUN
ejpam-6311	427	10	similarity	similarity	NOUN
ejpam-6311	427	11	deviation	deviation	NOUN
ejpam-6311	427	12	(	(	PUNCT
ejpam-6311	427	13	ms	ms	NOUN
ejpam-6311	427	14	-	-	PUNCT
ejpam-6311	427	15	gmsd	gmsd	NOUN
ejpam-6311	427	16	)	)	PUNCT
ejpam-6311	428	1	[	[	X
ejpam-6311	428	2	21	21	NUM
ejpam-6311	428	3	]	]	PUNCT
ejpam-6311	428	4	.	.	PUNCT
ejpam-6311	429	1	lower	low	ADJ
ejpam-6311	429	2	values	value	NOUN
ejpam-6311	429	3	of	of	ADP
ejpam-6311	429	4	gmsd	gmsd	ADJ
ejpam-6311	429	5	and	and	CCONJ
ejpam-6311	429	6	ms	ms	PROPN
ejpam-6311	429	7	-	-	PUNCT
ejpam-6311	429	8	gmsd	gmsd	NOUN
ejpam-6311	429	9	indicate	indicate	VERB
ejpam-6311	429	10	greater	great	ADJ
ejpam-6311	429	11	similarity	similarity	NOUN
ejpam-6311	429	12	between	between	ADP
ejpam-6311	429	13	the	the	DET
ejpam-6311	429	14	restored	restore	VERB
ejpam-6311	429	15	and	and	CCONJ
ejpam-6311	429	16	original	original	ADJ
ejpam-6311	429	17	images	image	NOUN
ejpam-6311	429	18	,	,	PUNCT
ejpam-6311	429	19	reflecting	reflect	VERB
ejpam-6311	429	20	improved	improved	ADJ
ejpam-6311	429	21	image	image	NOUN
ejpam-6311	429	22	quality	quality	NOUN
ejpam-6311	429	23	.	.	PUNCT
ejpam-6311	430	1	the	the	DET
ejpam-6311	430	2	gmsd	gmsd	PROPN
ejpam-6311	430	3	and	and	CCONJ
ejpam-6311	430	4	ms	ms	ADJ
ejpam-6311	430	5	-	-	PUNCT
ejpam-6311	430	6	gmsd	gmsd	ADJ
ejpam-6311	430	7	values	value	NOUN
ejpam-6311	430	8	for	for	ADP
ejpam-6311	430	9	the	the	DET
ejpam-6311	430	10	recovered	recover	VERB
ejpam-6311	430	11	images	image	NOUN
ejpam-6311	430	12	in	in	ADP
ejpam-6311	430	13	figure	figure	NOUN
ejpam-6311	430	14	3	3	NUM
ejpam-6311	430	15	are	be	AUX
ejpam-6311	430	16	presented	present	VERB
ejpam-6311	430	17	in	in	ADP
ejpam-6311	430	18	table	table	NOUN
ejpam-6311	430	19	s.	s.	PROPN
ejpam-6311	430	20	panma	panma	PROPN
ejpam-6311	430	21	,	,	PUNCT
ejpam-6311	430	22	r.	r.	PROPN
ejpam-6311	430	23	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	430	24	,	,	PUNCT
ejpam-6311	430	25	t.	t.	NOUN
ejpam-6311	430	26	chaobankoh	chaobankoh	PROPN
ejpam-6311	430	27	/	/	SYM
ejpam-6311	430	28	eur	eur	PROPN
ejpam-6311	430	29	.	.	PUNCT
ejpam-6311	431	1	j.	j.	PROPN
ejpam-6311	431	2	pure	pure	PROPN
ejpam-6311	431	3	appl	appl	PROPN
ejpam-6311	431	4	.	.	PROPN
ejpam-6311	431	5	math	math	PROPN
ejpam-6311	431	6	,	,	PUNCT
ejpam-6311	431	7	18	18	NUM
ejpam-6311	431	8	(	(	PUNCT
ejpam-6311	431	9	3	3	NUM
ejpam-6311	431	10	)	)	PUNCT
ejpam-6311	431	11	(	(	PUNCT
ejpam-6311	431	12	2025	2025	NUM
ejpam-6311	431	13	)	)	PUNCT
ejpam-6311	431	14	,	,	PUNCT
ejpam-6311	431	15	6311	6311	NUM
ejpam-6311	431	16	15	15	NUM
ejpam-6311	431	17	of	of	ADP
ejpam-6311	431	18	20	20	NUM
ejpam-6311	431	19	2	2	NUM
ejpam-6311	431	20	.	.	PUNCT
ejpam-6311	431	21	gmsd	gmsd	PROPN
ejpam-6311	431	22	and	and	CCONJ
ejpam-6311	431	23	ms	ms	ADJ
ejpam-6311	431	24	-	-	PUNCT
ejpam-6311	431	25	gmsd	gmsd	ADJ
ejpam-6311	431	26	convergence	convergence	NOUN
ejpam-6311	431	27	data	datum	NOUN
ejpam-6311	431	28	for	for	ADP
ejpam-6311	431	29	the	the	DET
ejpam-6311	431	30	iterative	iterative	NOUN
ejpam-6311	431	31	reconstruction	reconstruction	NOUN
ejpam-6311	431	32	of	of	ADP
ejpam-6311	431	33	figure	figure	NOUN
ejpam-6311	431	34	2	2	NUM
ejpam-6311	431	35	are	be	AUX
ejpam-6311	431	36	presented	present	VERB
ejpam-6311	431	37	in	in	ADP
ejpam-6311	431	38	figures	figure	NOUN
ejpam-6311	431	39	4	4	NUM
ejpam-6311	431	40	and	and	CCONJ
ejpam-6311	431	41	5	5	NUM
ejpam-6311	431	42	.	.	NOUN
ejpam-6311	431	43	table	table	NOUN
ejpam-6311	431	44	1	1	NUM
ejpam-6311	431	45	:	:	PUNCT
ejpam-6311	431	46	the	the	DET
ejpam-6311	431	47	control	control	NOUN
ejpam-6311	431	48	parameters	parameter	NOUN
ejpam-6311	431	49	of	of	ADP
ejpam-6311	431	50	the	the	DET
ejpam-6311	431	51	three	three	NUM
ejpam-6311	431	52	algorithms	algorithm	NOUN
ejpam-6311	431	53	.	.	PUNCT
ejpam-6311	432	1	si	si	PROPN
ejpam-6311	433	1	µi	µi	PROPN
ejpam-6311	433	2	n	n	PROPN
ejpam-6311	433	3	ηin	ηin	PROPN
ejpam-6311	433	4	σi	σi	NOUN
ejpam-6311	433	5	n	n	ADV
ejpam-6311	433	6	algorithm	algorithm	NOUN
ejpam-6311	433	7	2	2	NUM
ejpam-6311	433	8	∥mi∥−2	∥mi∥−2	PROPN
ejpam-6311	433	9	2	2	NUM
ejpam-6311	433	10	0.5	0.5	NUM
ejpam-6311	433	11	0.5	0.5	NUM
ejpam-6311	433	12	algorithm	algorithm	NOUN
ejpam-6311	433	13	3	3	NUM
ejpam-6311	433	14	∥mi∥−2	∥mi∥−2	PROPN
ejpam-6311	433	15	2	2	NUM
ejpam-6311	433	16	0.5	0.5	NUM
ejpam-6311	433	17	0.5	0.5	NUM
ejpam-6311	433	18	0.5	0.5	NUM
ejpam-6311	433	19	algorithm	algorithm	NOUN
ejpam-6311	433	20	1	1	NUM
ejpam-6311	433	21	∥mi∥−2	∥mi∥−2	NUM
ejpam-6311	433	22	2	2	NUM
ejpam-6311	433	23	0.5	0.5	NUM
ejpam-6311	433	24	1	1	NUM
ejpam-6311	433	25	0	0	NUM
ejpam-6311	433	26	table	table	NOUN
ejpam-6311	433	27	2	2	NUM
ejpam-6311	433	28	:	:	PUNCT
ejpam-6311	433	29	performance	performance	NOUN
ejpam-6311	433	30	metrics	metric	NOUN
ejpam-6311	433	31	(	(	PUNCT
ejpam-6311	433	32	gmsd	gmsd	ADJ
ejpam-6311	433	33	and	and	CCONJ
ejpam-6311	433	34	ms	ms	PROPN
ejpam-6311	433	35	-	-	PUNCT
ejpam-6311	433	36	gmsd	gmsd	NOUN
ejpam-6311	433	37	)	)	PUNCT
ejpam-6311	433	38	for	for	ADP
ejpam-6311	433	39	the	the	DET
ejpam-6311	433	40	recovered	recover	VERB
ejpam-6311	433	41	images	image	NOUN
ejpam-6311	433	42	from	from	ADP
ejpam-6311	433	43	figure	figure	NOUN
ejpam-6311	433	44	3	3	NUM
ejpam-6311	433	45	.	.	PUNCT
ejpam-6311	433	46	restored	restore	VERB
ejpam-6311	433	47	images	image	NOUN
ejpam-6311	433	48	gmsd	gmsd	ADJ
ejpam-6311	433	49	ms	ms	PROPN
ejpam-6311	433	50	-	-	PUNCT
ejpam-6311	433	51	gmsd	gmsd	ADJ
ejpam-6311	433	52	fig	fig	NOUN
ejpam-6311	433	53	3	3	NUM
ejpam-6311	433	54	(	(	PUNCT
ejpam-6311	433	55	a	a	NOUN
ejpam-6311	433	56	)	)	PUNCT
ejpam-6311	433	57	algorithm	algorithm	NOUN
ejpam-6311	433	58	2	2	NUM
ejpam-6311	433	59	0.0039	0.0039	NUM
ejpam-6311	433	60	0.0036	0.0036	NUM
ejpam-6311	433	61	fig	fig	NOUN
ejpam-6311	433	62	3	3	NUM
ejpam-6311	433	63	(	(	PUNCT
ejpam-6311	433	64	b	b	NOUN
ejpam-6311	433	65	)	)	PUNCT
ejpam-6311	433	66	algorithm	algorithm	NOUN
ejpam-6311	433	67	3	3	NUM
ejpam-6311	433	68	0.0033	0.0033	NUM
ejpam-6311	433	69	0.0033	0.0033	NUM
ejpam-6311	433	70	fig	fig	NOUN
ejpam-6311	433	71	3	3	NUM
ejpam-6311	433	72	(	(	PUNCT
ejpam-6311	433	73	c	c	NOUN
ejpam-6311	433	74	)	)	PUNCT
ejpam-6311	433	75	algorithm	algorithm	NOUN
ejpam-6311	433	76	1	1	NUM
ejpam-6311	433	77	0.0025	0.0025	NUM
ejpam-6311	433	78	0.0030	0.0030	NUM
ejpam-6311	433	79	fig	fig	NOUN
ejpam-6311	433	80	3	3	NUM
ejpam-6311	433	81	(	(	PUNCT
ejpam-6311	433	82	d	d	NOUN
ejpam-6311	433	83	)	)	PUNCT
ejpam-6311	433	84	algorithm	algorithm	NOUN
ejpam-6311	433	85	2	2	NUM
ejpam-6311	433	86	0.0249	0.0249	NUM
ejpam-6311	433	87	0.0210	0.0210	NUM
ejpam-6311	433	88	fig	fig	NOUN
ejpam-6311	433	89	3	3	NUM
ejpam-6311	433	90	(	(	PUNCT
ejpam-6311	433	91	e	e	NOUN
ejpam-6311	433	92	)	)	PUNCT
ejpam-6311	433	93	algorithm	algorithm	NOUN
ejpam-6311	433	94	3	3	NUM
ejpam-6311	433	95	0.0207	0.0207	NUM
ejpam-6311	433	96	0.0179	0.0179	NUM
ejpam-6311	433	97	fig	fig	NOUN
ejpam-6311	433	98	3	3	NUM
ejpam-6311	433	99	(	(	PUNCT
ejpam-6311	433	100	f	f	X
ejpam-6311	433	101	)	)	PUNCT
ejpam-6311	433	102	algorithm	algorithm	NOUN
ejpam-6311	433	103	1	1	NUM
ejpam-6311	433	104	0.0119	0.0119	NUM
ejpam-6311	433	105	0.0115	0.0115	NUM
ejpam-6311	433	106	in	in	ADP
ejpam-6311	433	107	this	this	DET
ejpam-6311	433	108	experiment	experiment	NOUN
ejpam-6311	433	109	,	,	PUNCT
ejpam-6311	433	110	we	we	PRON
ejpam-6311	433	111	conduct	conduct	VERB
ejpam-6311	433	112	a	a	DET
ejpam-6311	433	113	numerical	numerical	ADJ
ejpam-6311	433	114	comparison	comparison	NOUN
ejpam-6311	433	115	of	of	ADP
ejpam-6311	433	116	our	our	PRON
ejpam-6311	433	117	proposed	propose	VERB
ejpam-6311	433	118	algorithm	algorithm	NOUN
ejpam-6311	433	119	1	1	NUM
ejpam-6311	433	120	against	against	ADP
ejpam-6311	433	121	two	two	NUM
ejpam-6311	433	122	existing	exist	VERB
ejpam-6311	433	123	methods	method	NOUN
ejpam-6311	433	124	:	:	PUNCT
ejpam-6311	433	125	algorithm	algorithm	NOUN
ejpam-6311	433	126	2	2	NUM
ejpam-6311	434	1	[	[	X
ejpam-6311	434	2	3	3	NUM
ejpam-6311	434	3	]	]	PUNCT
ejpam-6311	434	4	and	and	CCONJ
ejpam-6311	434	5	algorithm	algorithm	NOUN
ejpam-6311	434	6	3	3	NUM
ejpam-6311	434	7	[	[	X
ejpam-6311	434	8	4	4	NUM
ejpam-6311	434	9	]	]	PUNCT
ejpam-6311	434	10	.	.	PUNCT
ejpam-6311	435	1	we	we	PRON
ejpam-6311	435	2	evaluate	evaluate	VERB
ejpam-6311	435	3	the	the	DET
ejpam-6311	435	4	convergence	convergence	NOUN
ejpam-6311	435	5	and	and	CCONJ
ejpam-6311	435	6	reconstruction	reconstruction	NOUN
ejpam-6311	435	7	accuracy	accuracy	NOUN
ejpam-6311	435	8	of	of	ADP
ejpam-6311	435	9	these	these	DET
ejpam-6311	435	10	algorithms	algorithm	NOUN
ejpam-6311	435	11	using	use	VERB
ejpam-6311	435	12	the	the	DET
ejpam-6311	435	13	gmsd	gmsd	ADJ
ejpam-6311	435	14	and	and	CCONJ
ejpam-6311	435	15	msgmsd	msgmsd	ADJ
ejpam-6311	435	16	metrics	metric	NOUN
ejpam-6311	435	17	.	.	PUNCT
ejpam-6311	436	1	table	table	NOUN
ejpam-6311	436	2	2	2	NUM
ejpam-6311	436	3	presents	present	VERB
ejpam-6311	436	4	the	the	DET
ejpam-6311	436	5	gmsd	gmsd	NOUN
ejpam-6311	436	6	and	and	CCONJ
ejpam-6311	436	7	ms	ms	ADJ
ejpam-6311	436	8	-	-	PUNCT
ejpam-6311	436	9	gmsd	gmsd	ADJ
ejpam-6311	436	10	values	value	NOUN
ejpam-6311	436	11	for	for	ADP
ejpam-6311	436	12	the	the	DET
ejpam-6311	436	13	recovered	recover	VERB
ejpam-6311	436	14	images	image	NOUN
ejpam-6311	436	15	shown	show	VERB
ejpam-6311	436	16	in	in	ADP
ejpam-6311	436	17	figure	figure	NOUN
ejpam-6311	436	18	3	3	NUM
ejpam-6311	436	19	,	,	PUNCT
ejpam-6311	436	20	offering	offer	VERB
ejpam-6311	436	21	a	a	DET
ejpam-6311	436	22	quantitative	quantitative	ADJ
ejpam-6311	436	23	assessment	assessment	NOUN
ejpam-6311	436	24	of	of	ADP
ejpam-6311	436	25	the	the	DET
ejpam-6311	436	26	performance	performance	NOUN
ejpam-6311	436	27	of	of	ADP
ejpam-6311	436	28	three	three	NUM
ejpam-6311	436	29	different	different	ADJ
ejpam-6311	436	30	algorithms	algorithm	NOUN
ejpam-6311	436	31	.	.	PUNCT
ejpam-6311	437	1	figures	figure	NOUN
ejpam-6311	437	2	4	4	NUM
ejpam-6311	437	3	and	and	CCONJ
ejpam-6311	437	4	5	5	NUM
ejpam-6311	437	5	illustrate	illustrate	VERB
ejpam-6311	437	6	the	the	DET
ejpam-6311	437	7	performance	performance	NOUN
ejpam-6311	437	8	of	of	ADP
ejpam-6311	437	9	each	each	DET
ejpam-6311	437	10	algorithm	algorithm	NOUN
ejpam-6311	437	11	,	,	PUNCT
ejpam-6311	437	12	displaying	display	VERB
ejpam-6311	437	13	the	the	DET
ejpam-6311	437	14	gmsd	gmsd	NOUN
ejpam-6311	437	15	and	and	CCONJ
ejpam-6311	437	16	ms	ms	ADJ
ejpam-6311	437	17	-	-	PUNCT
ejpam-6311	437	18	gmsd	gmsd	ADJ
ejpam-6311	437	19	values	value	NOUN
ejpam-6311	437	20	as	as	ADP
ejpam-6311	437	21	a	a	DET
ejpam-6311	437	22	function	function	NOUN
ejpam-6311	437	23	of	of	ADP
ejpam-6311	437	24	iteration	iteration	NOUN
ejpam-6311	437	25	count	count	NOUN
ejpam-6311	437	26	for	for	ADP
ejpam-6311	437	27	the	the	DET
ejpam-6311	437	28	reconstruction	reconstruction	NOUN
ejpam-6311	437	29	of	of	ADP
ejpam-6311	437	30	figure	figure	NOUN
ejpam-6311	437	31	2	2	NUM
ejpam-6311	437	32	.	.	PUNCT
ejpam-6311	437	33	table	table	NOUN
ejpam-6311	437	34	2	2	NUM
ejpam-6311	437	35	reveals	reveal	VERB
ejpam-6311	437	36	that	that	SCONJ
ejpam-6311	437	37	algorithm	algorithm	NOUN
ejpam-6311	437	38	1	1	NUM
ejpam-6311	437	39	generally	generally	ADV
ejpam-6311	437	40	achieves	achieve	VERB
ejpam-6311	437	41	the	the	DET
ejpam-6311	437	42	lowest	low	ADJ
ejpam-6311	437	43	gmsd	gmsd	NOUN
ejpam-6311	437	44	and	and	CCONJ
ejpam-6311	437	45	ms	ms	ADJ
ejpam-6311	437	46	-	-	PUNCT
ejpam-6311	437	47	gmsd	gmsd	ADJ
ejpam-6311	437	48	values	value	NOUN
ejpam-6311	437	49	,	,	PUNCT
ejpam-6311	437	50	indicating	indicate	VERB
ejpam-6311	437	51	better	well	ADJ
ejpam-6311	437	52	image	image	NOUN
ejpam-6311	437	53	restoration	restoration	NOUN
ejpam-6311	437	54	quality	quality	NOUN
ejpam-6311	437	55	compared	compare	VERB
ejpam-6311	437	56	to	to	ADP
ejpam-6311	437	57	algorithms	algorithm	NOUN
ejpam-6311	437	58	2	2	NUM
ejpam-6311	437	59	and	and	CCONJ
ejpam-6311	437	60	3	3	NUM
ejpam-6311	437	61	,	,	PUNCT
ejpam-6311	437	62	particularly	particularly	ADV
ejpam-6311	437	63	evident	evident	ADJ
ejpam-6311	437	64	in	in	ADP
ejpam-6311	437	65	the	the	DET
ejpam-6311	437	66	results	result	NOUN
ejpam-6311	437	67	for	for	ADP
ejpam-6311	437	68	figure	figure	NOUN
ejpam-6311	437	69	3	3	NUM
ejpam-6311	437	70	(	(	PUNCT
ejpam-6311	437	71	c	c	NOUN
ejpam-6311	437	72	)	)	PUNCT
ejpam-6311	437	73	and	and	CCONJ
ejpam-6311	437	74	(	(	PUNCT
ejpam-6311	437	75	f	f	X
ejpam-6311	437	76	)	)	PUNCT
ejpam-6311	437	77	.	.	PUNCT
ejpam-6311	438	1	while	while	SCONJ
ejpam-6311	438	2	algorithm	algorithm	NOUN
ejpam-6311	438	3	3	3	NUM
ejpam-6311	438	4	demonstrates	demonstrate	VERB
ejpam-6311	438	5	comparable	comparable	ADJ
ejpam-6311	438	6	performance	performance	NOUN
ejpam-6311	438	7	in	in	ADP
ejpam-6311	438	8	figure	figure	NOUN
ejpam-6311	438	9	3	3	NUM
ejpam-6311	438	10	(	(	PUNCT
ejpam-6311	438	11	b	b	NOUN
ejpam-6311	438	12	)	)	PUNCT
ejpam-6311	438	13	and	and	CCONJ
ejpam-6311	438	14	(	(	PUNCT
ejpam-6311	438	15	e	e	NOUN
ejpam-6311	438	16	)	)	PUNCT
ejpam-6311	438	17	,	,	PUNCT
ejpam-6311	438	18	algorithm	algorithm	NOUN
ejpam-6311	438	19	2	2	NUM
ejpam-6311	438	20	consistently	consistently	ADV
ejpam-6311	438	21	exhibits	exhibit	VERB
ejpam-6311	438	22	the	the	DET
ejpam-6311	438	23	highest	high	ADJ
ejpam-6311	438	24	gmsd	gmsd	NOUN
ejpam-6311	438	25	and	and	CCONJ
ejpam-6311	438	26	ms	ms	ADJ
ejpam-6311	438	27	-	-	PUNCT
ejpam-6311	438	28	gmsd	gmsd	ADJ
ejpam-6311	438	29	values	value	NOUN
ejpam-6311	438	30	across	across	ADP
ejpam-6311	438	31	the	the	DET
ejpam-6311	438	32	dataset	dataset	NOUN
ejpam-6311	438	33	,	,	PUNCT
ejpam-6311	438	34	suggesting	suggest	VERB
ejpam-6311	438	35	a	a	DET
ejpam-6311	438	36	relatively	relatively	ADV
ejpam-6311	438	37	lower	low	ADJ
ejpam-6311	438	38	restoration	restoration	NOUN
ejpam-6311	438	39	efficacy	efficacy	NOUN
ejpam-6311	438	40	.	.	PUNCT
ejpam-6311	439	1	the	the	DET
ejpam-6311	439	2	lower	low	ADJ
ejpam-6311	439	3	values	value	NOUN
ejpam-6311	439	4	for	for	ADP
ejpam-6311	439	5	both	both	DET
ejpam-6311	439	6	metrics	metric	NOUN
ejpam-6311	439	7	in	in	ADP
ejpam-6311	439	8	algorithm	algorithm	NOUN
ejpam-6311	439	9	1	1	NUM
ejpam-6311	439	10	suggest	suggest	VERB
ejpam-6311	439	11	that	that	SCONJ
ejpam-6311	439	12	it	it	PRON
ejpam-6311	439	13	is	be	AUX
ejpam-6311	439	14	more	more	ADV
ejpam-6311	439	15	effective	effective	ADJ
ejpam-6311	439	16	in	in	ADP
ejpam-6311	439	17	preserving	preserve	VERB
ejpam-6311	439	18	image	image	NOUN
ejpam-6311	439	19	details	detail	NOUN
ejpam-6311	439	20	and	and	CCONJ
ejpam-6311	439	21	structural	structural	ADJ
ejpam-6311	439	22	similarity	similarity	NOUN
ejpam-6311	439	23	after	after	ADP
ejpam-6311	439	24	the	the	DET
ejpam-6311	439	25	restoration	restoration	NOUN
ejpam-6311	439	26	process	process	NOUN
ejpam-6311	439	27	.	.	PUNCT
ejpam-6311	440	1	as	as	SCONJ
ejpam-6311	440	2	seen	see	VERB
ejpam-6311	440	3	in	in	ADP
ejpam-6311	440	4	figures	figure	NOUN
ejpam-6311	440	5	4(a	4(a	NUM
ejpam-6311	440	6	)	)	PUNCT
ejpam-6311	440	7	and	and	CCONJ
ejpam-6311	440	8	5(a	5(a	NUM
ejpam-6311	440	9	)	)	PUNCT
ejpam-6311	440	10	,	,	PUNCT
ejpam-6311	440	11	all	all	DET
ejpam-6311	440	12	three	three	NUM
ejpam-6311	440	13	algorithms	algorithm	NOUN
ejpam-6311	440	14	demonstrate	demonstrate	VERB
ejpam-6311	440	15	a	a	DET
ejpam-6311	440	16	decreasing	decrease	VERB
ejpam-6311	440	17	trend	trend	NOUN
ejpam-6311	440	18	in	in	ADP
ejpam-6311	440	19	gmsd	gmsd	NOUN
ejpam-6311	440	20	with	with	ADP
ejpam-6311	440	21	increasing	increase	VERB
ejpam-6311	440	22	iterations	iteration	NOUN
ejpam-6311	440	23	,	,	PUNCT
ejpam-6311	440	24	indicating	indicate	VERB
ejpam-6311	440	25	convergence	convergence	NOUN
ejpam-6311	440	26	toward	toward	ADP
ejpam-6311	440	27	a	a	DET
ejpam-6311	440	28	solution	solution	NOUN
ejpam-6311	440	29	.	.	PUNCT
ejpam-6311	441	1	however	however	ADV
ejpam-6311	441	2	,	,	PUNCT
ejpam-6311	441	3	algorithm	algorithm	PROPN
ejpam-6311	441	4	1	1	NUM
ejpam-6311	441	5	consistently	consistently	ADV
ejpam-6311	441	6	exhibits	exhibit	VERB
ejpam-6311	441	7	the	the	DET
ejpam-6311	441	8	lowest	low	ADJ
ejpam-6311	441	9	gmsd	gmsd	ADJ
ejpam-6311	441	10	values	value	NOUN
ejpam-6311	441	11	across	across	ADP
ejpam-6311	441	12	all	all	DET
ejpam-6311	441	13	iterations	iteration	NOUN
ejpam-6311	441	14	,	,	PUNCT
ejpam-6311	441	15	suggesting	suggest	VERB
ejpam-6311	441	16	better	well	ADJ
ejpam-6311	441	17	reconstruction	reconstruction	NOUN
ejpam-6311	441	18	accuracy	accuracy	NOUN
ejpam-6311	441	19	compared	compare	VERB
ejpam-6311	441	20	to	to	ADP
ejpam-6311	441	21	algorithm	algorithm	NOUN
ejpam-6311	441	22	2	2	NUM
ejpam-6311	441	23	and	and	CCONJ
ejpam-6311	441	24	algorithm	algorithm	NOUN
ejpam-6311	441	25	3	3	NUM
ejpam-6311	441	26	.	.	PUNCT
ejpam-6311	442	1	in	in	ADP
ejpam-6311	442	2	figure	figure	NOUN
ejpam-6311	442	3	4	4	NUM
ejpam-6311	442	4	,	,	PUNCT
ejpam-6311	442	5	s.	s.	PROPN
ejpam-6311	442	6	panma	panma	PROPN
ejpam-6311	442	7	,	,	PUNCT
ejpam-6311	442	8	r.	r.	PROPN
ejpam-6311	442	9	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	442	10	,	,	PUNCT
ejpam-6311	442	11	t.	t.	NOUN
ejpam-6311	442	12	chaobankoh	chaobankoh	PROPN
ejpam-6311	442	13	/	/	SYM
ejpam-6311	442	14	eur	eur	PROPN
ejpam-6311	442	15	.	.	PUNCT
ejpam-6311	443	1	j.	j.	PROPN
ejpam-6311	443	2	pure	pure	PROPN
ejpam-6311	443	3	appl	appl	PROPN
ejpam-6311	443	4	.	.	PROPN
ejpam-6311	443	5	math	math	PROPN
ejpam-6311	443	6	,	,	PUNCT
ejpam-6311	443	7	18	18	NUM
ejpam-6311	443	8	(	(	PUNCT
ejpam-6311	443	9	3	3	NUM
ejpam-6311	443	10	)	)	PUNCT
ejpam-6311	443	11	(	(	PUNCT
ejpam-6311	443	12	2025	2025	NUM
ejpam-6311	443	13	)	)	PUNCT
ejpam-6311	443	14	,	,	PUNCT
ejpam-6311	443	15	6311	6311	NUM
ejpam-6311	443	16	16	16	NUM
ejpam-6311	443	17	of	of	ADP
ejpam-6311	443	18	20	20	NUM
ejpam-6311	443	19	(	(	PUNCT
ejpam-6311	443	20	a	a	NOUN
ejpam-6311	443	21	)	)	PUNCT
ejpam-6311	443	22	algorithm	algorithm	NOUN
ejpam-6311	443	23	2	2	NUM
ejpam-6311	443	24	(	(	PUNCT
ejpam-6311	443	25	gmsd	gmsd	NOUN
ejpam-6311	443	26	=	=	PROPN
ejpam-6311	443	27	0.0039	0.0039	NUM
ejpam-6311	443	28	and	and	CCONJ
ejpam-6311	443	29	ms	ms	NOUN
ejpam-6311	443	30	-	-	PUNCT
ejpam-6311	443	31	gmsd	gmsd	ADJ
ejpam-6311	443	32	=	=	ADJ
ejpam-6311	443	33	0.0036	0.0036	NUM
ejpam-6311	443	34	)	)	PUNCT
ejpam-6311	443	35	(	(	PUNCT
ejpam-6311	443	36	b	b	X
ejpam-6311	443	37	)	)	PUNCT
ejpam-6311	443	38	algorithm	algorithm	NOUN
ejpam-6311	443	39	3	3	NUM
ejpam-6311	443	40	(	(	PUNCT
ejpam-6311	443	41	gmsd	gmsd	NOUN
ejpam-6311	443	42	=	=	PROPN
ejpam-6311	443	43	0.0033	0.0033	NUM
ejpam-6311	443	44	and	and	CCONJ
ejpam-6311	443	45	ms	ms	NOUN
ejpam-6311	443	46	-	-	PUNCT
ejpam-6311	443	47	gmsd	gmsd	ADJ
ejpam-6311	443	48	=	=	PROPN
ejpam-6311	443	49	0.0033	0.0033	NUM
ejpam-6311	443	50	)	)	PUNCT
ejpam-6311	443	51	(	(	PUNCT
ejpam-6311	443	52	c	c	X
ejpam-6311	443	53	)	)	PUNCT
ejpam-6311	443	54	algorithm	algorithm	NOUN
ejpam-6311	443	55	1	1	NUM
ejpam-6311	443	56	(	(	PUNCT
ejpam-6311	443	57	gmsd	gmsd	NOUN
ejpam-6311	443	58	=	=	PROPN
ejpam-6311	443	59	0.0025	0.0025	NUM
ejpam-6311	443	60	and	and	CCONJ
ejpam-6311	443	61	ms	ms	PROPN
ejpam-6311	443	62	-	-	PUNCT
ejpam-6311	443	63	gmsd	gmsd	NOUN
ejpam-6311	443	64	=	=	PROPN
ejpam-6311	443	65	0.0030	0.0030	NUM
ejpam-6311	443	66	)	)	PUNCT
ejpam-6311	443	67	(	(	PUNCT
ejpam-6311	443	68	d	d	X
ejpam-6311	443	69	)	)	PUNCT
ejpam-6311	443	70	algorithm	algorithm	NOUN
ejpam-6311	443	71	2	2	NUM
ejpam-6311	443	72	(	(	PUNCT
ejpam-6311	443	73	gmsd	gmsd	NOUN
ejpam-6311	443	74	=	=	PUNCT
ejpam-6311	443	75	0.0249	0.0249	NUM
ejpam-6311	443	76	and	and	CCONJ
ejpam-6311	443	77	ms	ms	PROPN
ejpam-6311	443	78	-	-	PUNCT
ejpam-6311	443	79	gmsd	gmsd	NOUN
ejpam-6311	443	80	=	=	PROPN
ejpam-6311	443	81	0.0210	0.0210	NUM
ejpam-6311	443	82	)	)	PUNCT
ejpam-6311	443	83	(	(	PUNCT
ejpam-6311	443	84	e	e	NOUN
ejpam-6311	443	85	)	)	PUNCT
ejpam-6311	443	86	algorithm	algorithm	NOUN
ejpam-6311	443	87	3	3	NUM
ejpam-6311	443	88	(	(	PUNCT
ejpam-6311	443	89	gmsd	gmsd	NOUN
ejpam-6311	443	90	=	=	NOUN
ejpam-6311	443	91	0.0207	0.0207	NUM
ejpam-6311	443	92	and	and	CCONJ
ejpam-6311	443	93	ms	ms	NOUN
ejpam-6311	443	94	-	-	PUNCT
ejpam-6311	443	95	gmsd	gmsd	NOUN
ejpam-6311	443	96	=	=	NOUN
ejpam-6311	443	97	0.0179	0.0179	NUM
ejpam-6311	443	98	)	)	PUNCT
ejpam-6311	443	99	(	(	PUNCT
ejpam-6311	443	100	f	f	X
ejpam-6311	443	101	)	)	PUNCT
ejpam-6311	443	102	algorithm	algorithm	NOUN
ejpam-6311	443	103	1	1	NUM
ejpam-6311	443	104	(	(	PUNCT
ejpam-6311	443	105	gmsd	gmsd	NOUN
ejpam-6311	443	106	=	=	PROPN
ejpam-6311	443	107	0.0119	0.0119	NUM
ejpam-6311	443	108	and	and	CCONJ
ejpam-6311	443	109	ms	ms	NOUN
ejpam-6311	443	110	-	-	PUNCT
ejpam-6311	443	111	gmsd	gmsd	ADJ
ejpam-6311	443	112	=	=	PROPN
ejpam-6311	443	113	0.0115	0.0115	NUM
ejpam-6311	443	114	)	)	PUNCT
ejpam-6311	443	115	figure	figure	NOUN
ejpam-6311	443	116	3	3	NUM
ejpam-6311	443	117	:	:	PUNCT
ejpam-6311	443	118	results	result	NOUN
ejpam-6311	443	119	of	of	ADP
ejpam-6311	443	120	image	image	NOUN
ejpam-6311	443	121	recovery	recovery	NOUN
ejpam-6311	443	122	as	as	SCONJ
ejpam-6311	443	123	performed	perform	VERB
ejpam-6311	443	124	by	by	ADP
ejpam-6311	443	125	the	the	DET
ejpam-6311	443	126	three	three	NUM
ejpam-6311	443	127	algorithms	algorithm	NOUN
ejpam-6311	443	128	.	.	PUNCT
ejpam-6311	444	1	algorithm	algorithm	NOUN
ejpam-6311	444	2	1	1	NUM
ejpam-6311	444	3	begins	begin	VERB
ejpam-6311	444	4	with	with	ADP
ejpam-6311	444	5	a	a	DET
ejpam-6311	444	6	gmsd	gmsd	ADJ
ejpam-6311	444	7	value	value	NOUN
ejpam-6311	444	8	around	around	ADP
ejpam-6311	444	9	0.25	0.25	NUM
ejpam-6311	444	10	,	,	PUNCT
ejpam-6311	444	11	rapidly	rapidly	ADV
ejpam-6311	444	12	reducing	reduce	VERB
ejpam-6311	444	13	the	the	DET
ejpam-6311	444	14	error	error	NOUN
ejpam-6311	444	15	within	within	ADP
ejpam-6311	444	16	the	the	DET
ejpam-6311	444	17	first	first	ADJ
ejpam-6311	444	18	15	15	NUM
ejpam-6311	444	19	iterations	iteration	NOUN
ejpam-6311	444	20	,	,	PUNCT
ejpam-6311	444	21	then	then	ADV
ejpam-6311	444	22	continuing	continue	VERB
ejpam-6311	444	23	to	to	PART
ejpam-6311	444	24	converge	converge	VERB
ejpam-6311	444	25	more	more	ADV
ejpam-6311	444	26	gradually	gradually	ADV
ejpam-6311	444	27	,	,	PUNCT
ejpam-6311	444	28	ultimately	ultimately	ADV
ejpam-6311	444	29	finishing	finish	VERB
ejpam-6311	444	30	below	below	ADP
ejpam-6311	444	31	0.05	0.05	NUM
ejpam-6311	444	32	and	and	CCONJ
ejpam-6311	444	33	maintaining	maintain	VERB
ejpam-6311	444	34	the	the	DET
ejpam-6311	444	35	lowest	low	ADJ
ejpam-6311	444	36	error	error	NOUN
ejpam-6311	444	37	throughout	throughout	NOUN
ejpam-6311	444	38	.	.	PUNCT
ejpam-6311	445	1	in	in	ADP
ejpam-6311	445	2	figure	figure	NOUN
ejpam-6311	445	3	5	5	NUM
ejpam-6311	445	4	,	,	PUNCT
ejpam-6311	445	5	it	it	PRON
ejpam-6311	445	6	again	again	ADV
ejpam-6311	445	7	shows	show	VERB
ejpam-6311	445	8	a	a	DET
ejpam-6311	445	9	sharp	sharp	ADJ
ejpam-6311	445	10	reduction	reduction	NOUN
ejpam-6311	445	11	in	in	ADP
ejpam-6311	445	12	error	error	NOUN
ejpam-6311	445	13	during	during	ADP
ejpam-6311	445	14	the	the	DET
ejpam-6311	445	15	first	first	ADJ
ejpam-6311	445	16	20	20	NUM
ejpam-6311	445	17	iterations	iteration	NOUN
ejpam-6311	445	18	and	and	CCONJ
ejpam-6311	445	19	continues	continue	VERB
ejpam-6311	445	20	to	to	PART
ejpam-6311	445	21	outperform	outperform	VERB
ejpam-6311	445	22	the	the	DET
ejpam-6311	445	23	other	other	ADJ
ejpam-6311	445	24	algorithms	algorithm	NOUN
ejpam-6311	445	25	.	.	PUNCT
ejpam-6311	446	1	its	its	PRON
ejpam-6311	446	2	ms	ms	PROPN
ejpam-6311	446	3	-	-	PUNCT
ejpam-6311	446	4	gmsd	gmsd	ADJ
ejpam-6311	446	5	values	value	NOUN
ejpam-6311	446	6	also	also	ADV
ejpam-6311	446	7	remain	remain	VERB
ejpam-6311	446	8	the	the	DET
ejpam-6311	446	9	lowest	low	ADJ
ejpam-6311	446	10	across	across	ADP
ejpam-6311	446	11	all	all	DET
ejpam-6311	446	12	iterations	iteration	NOUN
ejpam-6311	446	13	.	.	PUNCT
ejpam-6311	447	1	this	this	DET
ejpam-6311	447	2	trend	trend	NOUN
ejpam-6311	447	3	is	be	AUX
ejpam-6311	447	4	further	far	ADV
ejpam-6311	447	5	corroborated	corroborate	VERB
ejpam-6311	447	6	by	by	ADP
ejpam-6311	447	7	the	the	DET
ejpam-6311	447	8	ms	ms	PROPN
ejpam-6311	447	9	-	-	PUNCT
ejpam-6311	447	10	gmsd	gmsd	ADJ
ejpam-6311	447	11	analysis	analysis	NOUN
ejpam-6311	447	12	in	in	ADP
ejpam-6311	447	13	figures	figure	NOUN
ejpam-6311	447	14	4(b	4(b	NUM
ejpam-6311	447	15	)	)	PUNCT
ejpam-6311	447	16	and	and	CCONJ
ejpam-6311	447	17	5(b	5(b	NUM
ejpam-6311	447	18	)	)	PUNCT
ejpam-6311	447	19	,	,	PUNCT
ejpam-6311	447	20	where	where	SCONJ
ejpam-6311	447	21	algorithm	algorithm	NOUN
ejpam-6311	447	22	1	1	NUM
ejpam-6311	447	23	again	again	ADV
ejpam-6311	447	24	achieves	achieve	VERB
ejpam-6311	447	25	the	the	DET
ejpam-6311	447	26	lowest	low	ADJ
ejpam-6311	447	27	values	value	NOUN
ejpam-6311	447	28	.	.	PUNCT
ejpam-6311	448	1	the	the	DET
ejpam-6311	448	2	consistent	consistent	ADJ
ejpam-6311	448	3	patterns	pattern	NOUN
ejpam-6311	448	4	observed	observe	VERB
ejpam-6311	448	5	in	in	ADP
ejpam-6311	448	6	both	both	CCONJ
ejpam-6311	448	7	gmsd	gmsd	ADJ
ejpam-6311	448	8	and	and	CCONJ
ejpam-6311	448	9	ms	ms	ADJ
ejpam-6311	448	10	-	-	PUNCT
ejpam-6311	448	11	gmsd	gmsd	ADJ
ejpam-6311	448	12	metrics	metric	NOUN
ejpam-6311	448	13	confirm	confirm	VERB
ejpam-6311	448	14	the	the	DET
ejpam-6311	448	15	effectiveness	effectiveness	NOUN
ejpam-6311	448	16	of	of	ADP
ejpam-6311	448	17	algorithm	algorithm	NOUN
ejpam-6311	448	18	1	1	NUM
ejpam-6311	448	19	in	in	ADP
ejpam-6311	448	20	minimizing	minimize	VERB
ejpam-6311	448	21	reconstruction	reconstruction	NOUN
ejpam-6311	448	22	errors	error	NOUN
ejpam-6311	448	23	.	.	PUNCT
ejpam-6311	449	1	algorithm	algorithm	NOUN
ejpam-6311	449	2	1	1	NUM
ejpam-6311	449	3	resulted	result	VERB
ejpam-6311	449	4	in	in	ADP
ejpam-6311	449	5	the	the	DET
ejpam-6311	449	6	lowest	low	ADJ
ejpam-6311	449	7	gmsd	gmsd	NOUN
ejpam-6311	449	8	and	and	CCONJ
ejpam-6311	449	9	ms	ms	ADJ
ejpam-6311	449	10	-	-	PUNCT
ejpam-6311	449	11	gmsd	gmsd	ADJ
ejpam-6311	449	12	values	value	NOUN
ejpam-6311	449	13	when	when	SCONJ
ejpam-6311	449	14	compared	compare	VERB
ejpam-6311	449	15	to	to	ADP
ejpam-6311	449	16	algorithm	algorithm	NOUN
ejpam-6311	449	17	2	2	NUM
ejpam-6311	449	18	and	and	CCONJ
ejpam-6311	449	19	algorithm	algorithm	NOUN
ejpam-6311	449	20	3	3	NUM
ejpam-6311	449	21	,	,	PUNCT
ejpam-6311	449	22	indicating	indicate	VERB
ejpam-6311	449	23	its	its	PRON
ejpam-6311	449	24	effectiveness	effectiveness	NOUN
ejpam-6311	449	25	in	in	ADP
ejpam-6311	449	26	reconstructing	reconstruct	VERB
ejpam-6311	449	27	the	the	DET
ejpam-6311	449	28	data	datum	NOUN
ejpam-6311	449	29	represented	represent	VERB
ejpam-6311	449	30	in	in	ADP
ejpam-6311	449	31	figure	figure	NOUN
ejpam-6311	449	32	2	2	NUM
ejpam-6311	449	33	.	.	PUNCT
ejpam-6311	450	1	while	while	SCONJ
ejpam-6311	450	2	algorithm	algorithm	PROPN
ejpam-6311	450	3	2	2	NUM
ejpam-6311	450	4	and	and	CCONJ
ejpam-6311	450	5	algorithm	algorithm	PROPN
ejpam-6311	450	6	3	3	NUM
ejpam-6311	450	7	also	also	ADV
ejpam-6311	450	8	demonstrated	demonstrate	VERB
ejpam-6311	450	9	convergence	convergence	NOUN
ejpam-6311	450	10	,	,	PUNCT
ejpam-6311	450	11	algorithm	algorithm	NOUN
ejpam-6311	450	12	3	3	NUM
ejpam-6311	450	13	generally	generally	ADV
ejpam-6311	450	14	yielded	yield	VERB
ejpam-6311	450	15	slightly	slightly	ADV
ejpam-6311	450	16	lower	low	ADJ
ejpam-6311	450	17	gmsd	gmsd	ADJ
ejpam-6311	450	18	and	and	CCONJ
ejpam-6311	450	19	ms	ms	ADJ
ejpam-6311	450	20	-	-	PUNCT
ejpam-6311	450	21	gmsd	gmsd	ADJ
ejpam-6311	450	22	values	value	NOUN
ejpam-6311	450	23	compared	compare	VERB
ejpam-6311	450	24	to	to	ADP
ejpam-6311	450	25	algorithm	algorithm	NOUN
ejpam-6311	450	26	2	2	NUM
ejpam-6311	450	27	.	.	PUNCT
ejpam-6311	451	1	the	the	DET
ejpam-6311	451	2	evidence	evidence	NOUN
ejpam-6311	451	3	presented	present	VERB
ejpam-6311	451	4	suggests	suggest	VERB
ejpam-6311	451	5	that	that	SCONJ
ejpam-6311	451	6	algorithm	algorithm	NOUN
ejpam-6311	451	7	1	1	NUM
ejpam-6311	451	8	emerges	emerge	VERB
ejpam-6311	451	9	as	as	ADP
ejpam-6311	451	10	the	the	DET
ejpam-6311	451	11	preferred	preferred	ADJ
ejpam-6311	451	12	s.	s.	PROPN
ejpam-6311	451	13	panma	panma	PROPN
ejpam-6311	451	14	,	,	PUNCT
ejpam-6311	451	15	r.	r.	PROPN
ejpam-6311	451	16	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	451	17	,	,	PUNCT
ejpam-6311	451	18	t.	t.	NOUN
ejpam-6311	451	19	chaobankoh	chaobankoh	PROPN
ejpam-6311	451	20	/	/	SYM
ejpam-6311	451	21	eur	eur	PROPN
ejpam-6311	451	22	.	.	PUNCT
ejpam-6311	452	1	j.	j.	PROPN
ejpam-6311	452	2	pure	pure	PROPN
ejpam-6311	452	3	appl	appl	PROPN
ejpam-6311	452	4	.	.	PROPN
ejpam-6311	452	5	math	math	PROPN
ejpam-6311	452	6	,	,	PUNCT
ejpam-6311	452	7	18	18	NUM
ejpam-6311	452	8	(	(	PUNCT
ejpam-6311	452	9	3	3	NUM
ejpam-6311	452	10	)	)	PUNCT
ejpam-6311	452	11	(	(	PUNCT
ejpam-6311	452	12	2025	2025	NUM
ejpam-6311	452	13	)	)	PUNCT
ejpam-6311	452	14	,	,	PUNCT
ejpam-6311	452	15	6311	6311	NUM
ejpam-6311	452	16	17	17	NUM
ejpam-6311	452	17	of	of	ADP
ejpam-6311	452	18	20	20	NUM
ejpam-6311	452	19	(	(	PUNCT
ejpam-6311	452	20	a	a	PRON
ejpam-6311	452	21	)	)	PUNCT
ejpam-6311	452	22	gmsd	gmsd	NOUN
ejpam-6311	452	23	(	(	PUNCT
ejpam-6311	452	24	b	b	NOUN
ejpam-6311	452	25	)	)	PUNCT
ejpam-6311	452	26	ms	ms	ADJ
ejpam-6311	452	27	-	-	PUNCT
ejpam-6311	452	28	gmsd	gmsd	ADJ
ejpam-6311	452	29	figure	figure	NOUN
ejpam-6311	452	30	4	4	NUM
ejpam-6311	452	31	:	:	PUNCT
ejpam-6311	452	32	gmsd	gmsd	ADJ
ejpam-6311	452	33	and	and	CCONJ
ejpam-6311	452	34	ms	ms	ADJ
ejpam-6311	452	35	-	-	PUNCT
ejpam-6311	452	36	gmsd	gmsd	ADJ
ejpam-6311	452	37	values	value	NOUN
ejpam-6311	452	38	by	by	ADP
ejpam-6311	452	39	recovering	recover	VERB
ejpam-6311	452	40	figure	figure	NOUN
ejpam-6311	452	41	2	2	NUM
ejpam-6311	452	42	(	(	PUNCT
ejpam-6311	452	43	a	a	NOUN
ejpam-6311	452	44	)	)	PUNCT
ejpam-6311	452	45	(	(	PUNCT
ejpam-6311	452	46	c	c	NOUN
ejpam-6311	452	47	)	)	PUNCT
ejpam-6311	452	48	.	.	PUNCT
ejpam-6311	453	1	(	(	PUNCT
ejpam-6311	453	2	a	a	X
ejpam-6311	453	3	)	)	PUNCT
ejpam-6311	453	4	gmsd	gmsd	NOUN
ejpam-6311	453	5	(	(	PUNCT
ejpam-6311	453	6	b	b	NOUN
ejpam-6311	453	7	)	)	PUNCT
ejpam-6311	453	8	ms	ms	ADJ
ejpam-6311	453	9	-	-	PUNCT
ejpam-6311	453	10	gmsd	gmsd	ADJ
ejpam-6311	453	11	figure	figure	NOUN
ejpam-6311	453	12	5	5	NUM
ejpam-6311	453	13	:	:	PUNCT
ejpam-6311	453	14	gmsd	gmsd	ADJ
ejpam-6311	453	15	and	and	CCONJ
ejpam-6311	453	16	ms	ms	ADJ
ejpam-6311	453	17	-	-	PUNCT
ejpam-6311	453	18	gmsd	gmsd	ADJ
ejpam-6311	453	19	values	value	NOUN
ejpam-6311	453	20	by	by	ADP
ejpam-6311	453	21	recovering	recover	VERB
ejpam-6311	453	22	figure	figure	NOUN
ejpam-6311	453	23	2	2	NUM
ejpam-6311	453	24	(	(	PUNCT
ejpam-6311	453	25	d	d	NOUN
ejpam-6311	453	26	)	)	PUNCT
ejpam-6311	453	27	(	(	PUNCT
ejpam-6311	453	28	f	f	X
ejpam-6311	453	29	)	)	PUNCT
ejpam-6311	453	30	.	.	PUNCT
ejpam-6311	454	1	choice	choice	NOUN
ejpam-6311	454	2	for	for	ADP
ejpam-6311	454	3	the	the	DET
ejpam-6311	454	4	iterative	iterative	NOUN
ejpam-6311	454	5	reconstruction	reconstruction	NOUN
ejpam-6311	454	6	of	of	ADP
ejpam-6311	454	7	figure	figure	NOUN
ejpam-6311	454	8	2	2	NUM
ejpam-6311	454	9	data	datum	NOUN
ejpam-6311	454	10	,	,	PUNCT
ejpam-6311	454	11	due	due	ADP
ejpam-6311	454	12	to	to	ADP
ejpam-6311	454	13	its	its	PRON
ejpam-6311	454	14	performance	performance	NOUN
ejpam-6311	454	15	in	in	ADP
ejpam-6311	454	16	minimizing	minimize	VERB
ejpam-6311	454	17	both	both	DET
ejpam-6311	454	18	metrics	metric	NOUN
ejpam-6311	454	19	.	.	PUNCT
ejpam-6311	455	1	this	this	DET
ejpam-6311	455	2	outcome	outcome	NOUN
ejpam-6311	455	3	highlights	highlight	VERB
ejpam-6311	455	4	the	the	DET
ejpam-6311	455	5	importance	importance	NOUN
ejpam-6311	455	6	of	of	ADP
ejpam-6311	455	7	selecting	select	VERB
ejpam-6311	455	8	an	an	DET
ejpam-6311	455	9	appropriate	appropriate	ADJ
ejpam-6311	455	10	algorithm	algorithm	NOUN
ejpam-6311	455	11	to	to	PART
ejpam-6311	455	12	achieve	achieve	VERB
ejpam-6311	455	13	optimal	optimal	ADJ
ejpam-6311	455	14	reconstruction	reconstruction	NOUN
ejpam-6311	455	15	accuracy	accuracy	NOUN
ejpam-6311	455	16	.	.	PUNCT
ejpam-6311	456	1	6	6	X
ejpam-6311	456	2	.	.	X
ejpam-6311	456	3	conclusions	conclusion	NOUN
ejpam-6311	456	4	we	we	PRON
ejpam-6311	456	5	have	have	AUX
ejpam-6311	456	6	presented	present	VERB
ejpam-6311	456	7	an	an	DET
ejpam-6311	456	8	algorithm	algorithm	NOUN
ejpam-6311	456	9	for	for	ADP
ejpam-6311	456	10	common	common	ADJ
ejpam-6311	456	11	fixed	fix	VERB
ejpam-6311	456	12	point	point	NOUN
ejpam-6311	456	13	approximation	approximation	NOUN
ejpam-6311	456	14	of	of	ADP
ejpam-6311	456	15	graph	graph	NOUN
ejpam-6311	456	16	-	-	PUNCT
ejpam-6311	456	17	based	base	VERB
ejpam-6311	456	18	mappings	mapping	NOUN
ejpam-6311	456	19	in	in	ADP
ejpam-6311	456	20	hilbert	hilbert	NOUN
ejpam-6311	456	21	spaces	space	NOUN
ejpam-6311	456	22	and	and	CCONJ
ejpam-6311	456	23	proven	prove	VERB
ejpam-6311	456	24	its	its	PRON
ejpam-6311	456	25	convergence	convergence	NOUN
ejpam-6311	456	26	.	.	PUNCT
ejpam-6311	457	1	its	its	PRON
ejpam-6311	457	2	effectiveness	effectiveness	NOUN
ejpam-6311	457	3	in	in	ADP
ejpam-6311	457	4	pm2.5	pm2.5	ADV
ejpam-6311	457	5	-	-	PUNCT
ejpam-6311	457	6	related	relate	VERB
ejpam-6311	457	7	image	image	NOUN
ejpam-6311	457	8	recovery	recovery	NOUN
ejpam-6311	457	9	was	be	AUX
ejpam-6311	457	10	demonstrated	demonstrate	VERB
ejpam-6311	457	11	and	and	CCONJ
ejpam-6311	457	12	confirmed	confirm	VERB
ejpam-6311	457	13	through	through	ADP
ejpam-6311	457	14	comparative	comparative	ADJ
ejpam-6311	457	15	analysis	analysis	NOUN
ejpam-6311	457	16	,	,	PUNCT
ejpam-6311	457	17	showing	show	VERB
ejpam-6311	457	18	competitive	competitive	ADJ
ejpam-6311	457	19	performance	performance	NOUN
ejpam-6311	457	20	and	and	CCONJ
ejpam-6311	457	21	higher	high	ADJ
ejpam-6311	457	22	-	-	PUNCT
ejpam-6311	457	23	quality	quality	NOUN
ejpam-6311	457	24	results	result	NOUN
ejpam-6311	457	25	.	.	PUNCT
ejpam-6311	458	1	the	the	DET
ejpam-6311	458	2	algorithm	algorithm	NOUN
ejpam-6311	458	3	’s	’s	PART
ejpam-6311	458	4	efficiency	efficiency	NOUN
ejpam-6311	458	5	highlights	highlight	VERB
ejpam-6311	458	6	its	its	PRON
ejpam-6311	458	7	ability	ability	NOUN
ejpam-6311	458	8	to	to	PART
ejpam-6311	458	9	optimize	optimize	VERB
ejpam-6311	458	10	computational	computational	ADJ
ejpam-6311	458	11	resources	resource	NOUN
ejpam-6311	458	12	.	.	PUNCT
ejpam-6311	459	1	furthermore	furthermore	ADV
ejpam-6311	459	2	,	,	PUNCT
ejpam-6311	459	3	the	the	DET
ejpam-6311	459	4	convergence	convergence	NOUN
ejpam-6311	459	5	behavior	behavior	NOUN
ejpam-6311	459	6	directly	directly	ADV
ejpam-6311	459	7	influences	influence	VERB
ejpam-6311	459	8	the	the	DET
ejpam-6311	459	9	quality	quality	NOUN
ejpam-6311	459	10	of	of	ADP
ejpam-6311	459	11	the	the	DET
ejpam-6311	459	12	numerical	numerical	ADJ
ejpam-6311	459	13	results	result	NOUN
ejpam-6311	459	14	.	.	PUNCT
ejpam-6311	460	1	s.	s.	PROPN
ejpam-6311	460	2	panma	panma	PROPN
ejpam-6311	460	3	,	,	PUNCT
ejpam-6311	460	4	r.	r.	PROPN
ejpam-6311	460	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	460	6	,	,	PUNCT
ejpam-6311	460	7	t.	t.	NOUN
ejpam-6311	460	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	460	9	/	/	SYM
ejpam-6311	460	10	eur	eur	PROPN
ejpam-6311	460	11	.	.	PUNCT
ejpam-6311	461	1	j.	j.	PROPN
ejpam-6311	461	2	pure	pure	PROPN
ejpam-6311	461	3	appl	appl	PROPN
ejpam-6311	461	4	.	.	PROPN
ejpam-6311	461	5	math	math	PROPN
ejpam-6311	461	6	,	,	PUNCT
ejpam-6311	461	7	18	18	NUM
ejpam-6311	461	8	(	(	PUNCT
ejpam-6311	461	9	3	3	NUM
ejpam-6311	461	10	)	)	PUNCT
ejpam-6311	461	11	(	(	PUNCT
ejpam-6311	461	12	2025	2025	NUM
ejpam-6311	461	13	)	)	PUNCT
ejpam-6311	461	14	,	,	PUNCT
ejpam-6311	461	15	6311	6311	NUM
ejpam-6311	461	16	18	18	NUM
ejpam-6311	461	17	of	of	ADP
ejpam-6311	461	18	20	20	NUM
ejpam-6311	461	19	moreover	moreover	ADV
ejpam-6311	461	20	,	,	PUNCT
ejpam-6311	461	21	it	it	PRON
ejpam-6311	461	22	is	be	AUX
ejpam-6311	461	23	worth	worth	ADJ
ejpam-6311	461	24	noting	note	VERB
ejpam-6311	461	25	that	that	SCONJ
ejpam-6311	461	26	the	the	DET
ejpam-6311	461	27	subsequent	subsequent	ADJ
ejpam-6311	461	28	list	list	NOUN
ejpam-6311	461	29	of	of	ADP
ejpam-6311	461	30	potential	potential	ADJ
ejpam-6311	461	31	reductions	reduction	NOUN
ejpam-6311	461	32	indicates	indicate	VERB
ejpam-6311	461	33	algorithm	algorithm	NOUN
ejpam-6311	461	34	1	1	NUM
ejpam-6311	461	35	,	,	PUNCT
ejpam-6311	461	36	when	when	SCONJ
ejpam-6311	461	37	simplified	simplified	ADJ
ejpam-6311	461	38	,	,	PUNCT
ejpam-6311	461	39	might	might	AUX
ejpam-6311	461	40	be	be	AUX
ejpam-6311	461	41	reducible	reducible	ADJ
ejpam-6311	461	42	to	to	ADP
ejpam-6311	461	43	algorithms	algorithm	NOUN
ejpam-6311	461	44	already	already	ADV
ejpam-6311	461	45	established	establish	VERB
ejpam-6311	461	46	in	in	ADP
ejpam-6311	461	47	the	the	DET
ejpam-6311	461	48	literature	literature	NOUN
ejpam-6311	461	49	.	.	PUNCT
ejpam-6311	462	1	(	(	PUNCT
ejpam-6311	462	2	a	a	X
ejpam-6311	462	3	)	)	PUNCT
ejpam-6311	462	4	set	set	NOUN
ejpam-6311	462	5	σi	σi	PRON
ejpam-6311	462	6	n	n	NOUN
ejpam-6311	462	7	=	=	SYM
ejpam-6311	462	8	1	1	NUM
ejpam-6311	462	9	for	for	ADP
ejpam-6311	462	10	all	all	PRON
ejpam-6311	462	11	n	n	PRON
ejpam-6311	462	12	∈	∈	NOUN
ejpam-6311	462	13	n	n	NOUN
ejpam-6311	463	1	and	and	CCONJ
ejpam-6311	463	2	i	i	PRON
ejpam-6311	463	3	=	=	NOUN
ejpam-6311	463	4	1	1	NUM
ejpam-6311	463	5	,	,	PUNCT
ejpam-6311	463	6	2	2	NUM
ejpam-6311	463	7	,	,	PUNCT
ejpam-6311	463	8	.	.	PUNCT
ejpam-6311	463	9	.	.	PUNCT
ejpam-6311	464	1	.	.	PUNCT
ejpam-6311	465	1	,	,	PUNCT
ejpam-6311	465	2	n	n	X
ejpam-6311	465	3	in	in	ADP
ejpam-6311	465	4	algorithm	algorithm	NOUN
ejpam-6311	465	5	1	1	NUM
ejpam-6311	465	6	.	.	PUNCT
ejpam-6311	466	1	(	(	PUNCT
ejpam-6311	466	2	b	b	X
ejpam-6311	466	3	)	)	PUNCT
ejpam-6311	466	4	set	set	VERB
ejpam-6311	466	5	ηin	ηin	PROPN
ejpam-6311	466	6	=	=	NOUN
ejpam-6311	466	7	1	1	NUM
ejpam-6311	466	8	for	for	ADP
ejpam-6311	466	9	all	all	PRON
ejpam-6311	466	10	n	n	PRON
ejpam-6311	466	11	∈	∈	NOUN
ejpam-6311	466	12	n	n	NOUN
ejpam-6311	467	1	and	and	CCONJ
ejpam-6311	467	2	i	i	PRON
ejpam-6311	467	3	=	=	NOUN
ejpam-6311	467	4	1	1	NUM
ejpam-6311	467	5	,	,	PUNCT
ejpam-6311	467	6	2	2	NUM
ejpam-6311	467	7	,	,	PUNCT
ejpam-6311	467	8	.	.	PUNCT
ejpam-6311	467	9	.	.	PUNCT
ejpam-6311	468	1	.	.	PUNCT
ejpam-6311	469	1	,	,	PUNCT
ejpam-6311	469	2	n	n	X
ejpam-6311	469	3	in	in	ADP
ejpam-6311	469	4	algorithm	algorithm	NOUN
ejpam-6311	469	5	1	1	NUM
ejpam-6311	469	6	.	.	PUNCT
ejpam-6311	470	1	(	(	PUNCT
ejpam-6311	470	2	c	c	X
ejpam-6311	470	3	)	)	PUNCT
ejpam-6311	470	4	set	set	VERB
ejpam-6311	470	5	ηin	ηin	PROPN
ejpam-6311	470	6	=	=	PROPN
ejpam-6311	470	7	0	0	PROPN
ejpam-6311	470	8	for	for	ADP
ejpam-6311	470	9	all	all	PRON
ejpam-6311	470	10	n	n	PRON
ejpam-6311	470	11	∈	∈	NOUN
ejpam-6311	470	12	n	n	NOUN
ejpam-6311	471	1	and	and	CCONJ
ejpam-6311	471	2	i	i	PRON
ejpam-6311	471	3	=	=	NOUN
ejpam-6311	471	4	1	1	NUM
ejpam-6311	471	5	,	,	PUNCT
ejpam-6311	471	6	2	2	NUM
ejpam-6311	471	7	,	,	PUNCT
ejpam-6311	471	8	.	.	PUNCT
ejpam-6311	471	9	.	.	PUNCT
ejpam-6311	472	1	.	.	PUNCT
ejpam-6311	473	1	,	,	PUNCT
ejpam-6311	473	2	n	n	X
ejpam-6311	473	3	in	in	ADP
ejpam-6311	473	4	algorithm	algorithm	NOUN
ejpam-6311	473	5	1	1	NUM
ejpam-6311	473	6	.	.	PUNCT
ejpam-6311	474	1	(	(	PUNCT
ejpam-6311	474	2	d	d	X
ejpam-6311	474	3	)	)	PUNCT
ejpam-6311	474	4	set	set	VERB
ejpam-6311	474	5	σi	σi	PRON
ejpam-6311	474	6	n	n	NOUN
ejpam-6311	474	7	=	=	SYM
ejpam-6311	474	8	0	0	NUM
ejpam-6311	474	9	for	for	ADP
ejpam-6311	474	10	all	all	PRON
ejpam-6311	474	11	n	n	PRON
ejpam-6311	474	12	∈	∈	NOUN
ejpam-6311	474	13	n	n	NOUN
ejpam-6311	475	1	and	and	CCONJ
ejpam-6311	475	2	i	i	PRON
ejpam-6311	475	3	=	=	NOUN
ejpam-6311	475	4	1	1	NUM
ejpam-6311	475	5	,	,	PUNCT
ejpam-6311	475	6	2	2	NUM
ejpam-6311	475	7	,	,	PUNCT
ejpam-6311	475	8	.	.	PUNCT
ejpam-6311	475	9	.	.	PUNCT
ejpam-6311	476	1	.	.	PUNCT
ejpam-6311	477	1	,	,	PUNCT
ejpam-6311	477	2	n	n	X
ejpam-6311	477	3	in	in	ADP
ejpam-6311	477	4	algorithm	algorithm	NOUN
ejpam-6311	477	5	1	1	NUM
ejpam-6311	477	6	.	.	PUNCT
ejpam-6311	477	7	acknowledgements	acknowledgement	NOUN
ejpam-6311	477	8	this	this	DET
ejpam-6311	477	9	research	research	NOUN
ejpam-6311	477	10	project	project	NOUN
ejpam-6311	477	11	was	be	AUX
ejpam-6311	477	12	supported	support	VERB
ejpam-6311	477	13	by	by	ADP
ejpam-6311	477	14	:	:	PUNCT
ejpam-6311	477	15	(	(	PUNCT
ejpam-6311	477	16	i	i	NOUN
ejpam-6311	477	17	)	)	PUNCT
ejpam-6311	477	18	fundamental	fundamental	ADJ
ejpam-6311	477	19	fund	fund	NOUN
ejpam-6311	477	20	2025	2025	NUM
ejpam-6311	477	21	,	,	PUNCT
ejpam-6311	477	22	chiang	chiang	PROPN
ejpam-6311	477	23	mai	mai	PROPN
ejpam-6311	477	24	university	university	PROPN
ejpam-6311	477	25	,	,	PUNCT
ejpam-6311	477	26	chiang	chiang	PROPN
ejpam-6311	477	27	mai	mai	PROPN
ejpam-6311	477	28	,	,	PUNCT
ejpam-6311	477	29	thailand	thailand	PROPN
ejpam-6311	477	30	;	;	PUNCT
ejpam-6311	477	31	(	(	PUNCT
ejpam-6311	477	32	ii	ii	X
ejpam-6311	477	33	)	)	PUNCT
ejpam-6311	477	34	thailand	thailand	PROPN
ejpam-6311	477	35	science	science	PROPN
ejpam-6311	477	36	research	research	PROPN
ejpam-6311	477	37	and	and	CCONJ
ejpam-6311	477	38	innovation	innovation	NOUN
ejpam-6311	477	39	(	(	PUNCT
ejpam-6311	477	40	tsri	tsri	PROPN
ejpam-6311	477	41	)	)	PUNCT
ejpam-6311	477	42	(	(	PUNCT
ejpam-6311	477	43	frb680102/0162	frb680102/0162	NOUN
ejpam-6311	477	44	)	)	PUNCT
ejpam-6311	477	45	;	;	PUNCT
ejpam-6311	477	46	(	(	PUNCT
ejpam-6311	477	47	iii	iii	X
ejpam-6311	477	48	)	)	PUNCT
ejpam-6311	477	49	chiang	chiang	PROPN
ejpam-6311	477	50	mai	mai	PROPN
ejpam-6311	477	51	university	university	PROPN
ejpam-6311	477	52	,	,	PUNCT
ejpam-6311	477	53	chiang	chiang	PROPN
ejpam-6311	477	54	mai	mai	PROPN
ejpam-6311	477	55	,	,	PUNCT
ejpam-6311	477	56	thailand	thailand	PROPN
ejpam-6311	477	57	;	;	PUNCT
ejpam-6311	477	58	(	(	PUNCT
ejpam-6311	477	59	iv	iv	X
ejpam-6311	477	60	)	)	PUNCT
ejpam-6311	477	61	centre	centre	NOUN
ejpam-6311	477	62	of	of	ADP
ejpam-6311	477	63	excellence	excellence	NOUN
ejpam-6311	477	64	in	in	ADP
ejpam-6311	477	65	mathematics	mathematics	PROPN
ejpam-6311	477	66	,	,	PUNCT
ejpam-6311	477	67	mhesi	mhesi	PROPN
ejpam-6311	477	68	,	,	PUNCT
ejpam-6311	477	69	bangkok	bangkok	PROPN
ejpam-6311	477	70	,	,	PUNCT
ejpam-6311	477	71	thailand	thailand	PROPN
ejpam-6311	477	72	.	.	PUNCT
ejpam-6311	478	1	references	reference	NOUN
ejpam-6311	478	2	[	[	X
ejpam-6311	478	3	1	1	X
ejpam-6311	478	4	]	]	PUNCT
ejpam-6311	478	5	j.	j.	PROPN
ejpam-6311	478	6	jachymski	jachymski	PROPN
ejpam-6311	478	7	.	.	PUNCT
ejpam-6311	479	1	the	the	DET
ejpam-6311	479	2	contraction	contraction	NOUN
ejpam-6311	479	3	principle	principle	NOUN
ejpam-6311	479	4	for	for	ADP
ejpam-6311	479	5	mappings	mapping	NOUN
ejpam-6311	479	6	on	on	ADP
ejpam-6311	479	7	a	a	DET
ejpam-6311	479	8	metric	metric	ADJ
ejpam-6311	479	9	space	space	NOUN
ejpam-6311	479	10	with	with	ADP
ejpam-6311	479	11	a	a	DET
ejpam-6311	479	12	graph	graph	NOUN
ejpam-6311	479	13	.	.	PUNCT
ejpam-6311	480	1	proceedings	proceeding	NOUN
ejpam-6311	480	2	of	of	ADP
ejpam-6311	480	3	the	the	DET
ejpam-6311	480	4	american	american	PROPN
ejpam-6311	480	5	mathematical	mathematical	PROPN
ejpam-6311	480	6	society	society	NOUN
ejpam-6311	480	7	,	,	PUNCT
ejpam-6311	480	8	136(4):1359–1373	136(4):1359–1373	NUM
ejpam-6311	480	9	,	,	PUNCT
ejpam-6311	480	10	2008	2008	NUM
ejpam-6311	480	11	.	.	PUNCT
ejpam-6311	481	1	[	[	X
ejpam-6311	481	2	2	2	NUM
ejpam-6311	481	3	]	]	PUNCT
ejpam-6311	481	4	a.	a.	NOUN
ejpam-6311	481	5	khemphet	khemphet	PROPN
ejpam-6311	481	6	,	,	PUNCT
ejpam-6311	481	7	r.	r.	PROPN
ejpam-6311	481	8	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	481	9	,	,	PUNCT
ejpam-6311	481	10	p.	p.	NOUN
ejpam-6311	481	11	varnakovida	varnakovida	PROPN
ejpam-6311	481	12	,	,	PUNCT
ejpam-6311	481	13	and	and	CCONJ
ejpam-6311	481	14	p.	p.	NOUN
ejpam-6311	481	15	charoensawan	charoensawan	PROPN
ejpam-6311	481	16	.	.	PUNCT
ejpam-6311	482	1	a	a	DET
ejpam-6311	482	2	modified	modify	VERB
ejpam-6311	482	3	parallel	parallel	ADJ
ejpam-6311	482	4	algorithm	algorithm	NOUN
ejpam-6311	482	5	for	for	ADP
ejpam-6311	482	6	a	a	DET
ejpam-6311	482	7	common	common	ADJ
ejpam-6311	482	8	fixed	fix	VERB
ejpam-6311	482	9	-	-	PUNCT
ejpam-6311	482	10	point	point	NOUN
ejpam-6311	482	11	problem	problem	NOUN
ejpam-6311	482	12	with	with	ADP
ejpam-6311	482	13	application	application	NOUN
ejpam-6311	482	14	to	to	PART
ejpam-6311	482	15	signal	signal	VERB
ejpam-6311	482	16	recovery	recovery	NOUN
ejpam-6311	482	17	.	.	PUNCT
ejpam-6311	483	1	symmetry	symmetry	NOUN
ejpam-6311	483	2	,	,	PUNCT
ejpam-6311	483	3	15(1464	15(1464	NUM
ejpam-6311	483	4	)	)	PUNCT
ejpam-6311	483	5	,	,	PUNCT
ejpam-6311	483	6	2023	2023	NUM
ejpam-6311	483	7	.	.	PUNCT
ejpam-6311	484	1	[	[	X
ejpam-6311	484	2	3	3	NUM
ejpam-6311	484	3	]	]	X
ejpam-6311	484	4	n.	n.	PROPN
ejpam-6311	484	5	jun	jun	PROPN
ejpam-6311	484	6	-	-	PUNCT
ejpam-6311	484	7	on	on	ADP
ejpam-6311	484	8	,	,	PUNCT
ejpam-6311	484	9	r.	r.	PROPN
ejpam-6311	484	10	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	484	11	,	,	PUNCT
ejpam-6311	484	12	m.	m.	NOUN
ejpam-6311	484	13	gamal	gamal	PROPN
ejpam-6311	484	14	,	,	PUNCT
ejpam-6311	484	15	and	and	CCONJ
ejpam-6311	484	16	w.	w.	PROPN
ejpam-6311	484	17	cholamjiak	cholamjiak	PROPN
ejpam-6311	484	18	.	.	PUNCT
ejpam-6311	485	1	an	an	DET
ejpam-6311	485	2	inertial	inertial	ADJ
ejpam-6311	485	3	parallel	parallel	ADJ
ejpam-6311	485	4	algorithm	algorithm	NOUN
ejpam-6311	485	5	for	for	ADP
ejpam-6311	485	6	a	a	DET
ejpam-6311	485	7	finite	finite	ADJ
ejpam-6311	485	8	family	family	NOUN
ejpam-6311	485	9	of	of	ADP
ejpam-6311	485	10	g	g	PROPN
ejpam-6311	485	11	-	-	PUNCT
ejpam-6311	485	12	nonexpansive	nonexpansive	ADJ
ejpam-6311	485	13	mappings	mapping	NOUN
ejpam-6311	485	14	applied	apply	VERB
ejpam-6311	485	15	to	to	PART
ejpam-6311	485	16	signal	signal	VERB
ejpam-6311	485	17	recovery	recovery	NOUN
ejpam-6311	485	18	.	.	PUNCT
ejpam-6311	486	1	aims	aim	VERB
ejpam-6311	486	2	mathematics	mathematic	NOUN
ejpam-6311	486	3	,	,	PUNCT
ejpam-6311	486	4	7(2):1775–1790	7(2):1775–1790	NUM
ejpam-6311	486	5	,	,	PUNCT
ejpam-6311	486	6	2022	2022	NUM
ejpam-6311	486	7	.	.	PUNCT
ejpam-6311	487	1	[	[	X
ejpam-6311	487	2	4	4	X
ejpam-6311	487	3	]	]	PUNCT
ejpam-6311	487	4	d.	d.	PROPN
ejpam-6311	487	5	yambangwai	yambangwai	PROPN
ejpam-6311	487	6	and	and	CCONJ
ejpam-6311	487	7	t.	t.	PROPN
ejpam-6311	487	8	thianwan	thianwan	PROPN
ejpam-6311	487	9	.	.	PUNCT
ejpam-6311	488	1	a	a	DET
ejpam-6311	488	2	parallel	parallel	ADJ
ejpam-6311	488	3	inertial	inertial	ADJ
ejpam-6311	488	4	sp	sp	NOUN
ejpam-6311	488	5	-	-	PUNCT
ejpam-6311	488	6	iteration	iteration	NOUN
ejpam-6311	488	7	monotone	monotone	ADJ
ejpam-6311	488	8	hybrid	hybrid	ADJ
ejpam-6311	488	9	algorithm	algorithm	NOUN
ejpam-6311	488	10	for	for	ADP
ejpam-6311	488	11	a	a	DET
ejpam-6311	488	12	finite	finite	ADJ
ejpam-6311	488	13	family	family	NOUN
ejpam-6311	488	14	of	of	ADP
ejpam-6311	488	15	g	g	PROPN
ejpam-6311	488	16	-	-	PUNCT
ejpam-6311	488	17	nonexpansive	nonexpansive	ADJ
ejpam-6311	488	18	mappings	mapping	NOUN
ejpam-6311	488	19	and	and	CCONJ
ejpam-6311	488	20	its	its	PRON
ejpam-6311	488	21	application	application	NOUN
ejpam-6311	488	22	in	in	ADP
ejpam-6311	488	23	linear	linear	PROPN
ejpam-6311	488	24	system	system	NOUN
ejpam-6311	488	25	,	,	PUNCT
ejpam-6311	488	26	differential	differential	NOUN
ejpam-6311	488	27	,	,	PUNCT
ejpam-6311	488	28	and	and	CCONJ
ejpam-6311	488	29	signal	signal	ADJ
ejpam-6311	488	30	recovery	recovery	NOUN
ejpam-6311	488	31	problems	problem	NOUN
ejpam-6311	488	32	.	.	PUNCT
ejpam-6311	489	1	carpathian	carpathian	ADJ
ejpam-6311	489	2	journal	journal	PROPN
ejpam-6311	489	3	of	of	ADP
ejpam-6311	489	4	mathematics	mathematics	PROPN
ejpam-6311	489	5	,	,	PUNCT
ejpam-6311	489	6	40(2):535–557	40(2):535–557	PROPN
ejpam-6311	489	7	,	,	PUNCT
ejpam-6311	489	8	2024	2024	NUM
ejpam-6311	489	9	.	.	PUNCT
ejpam-6311	490	1	[	[	X
ejpam-6311	490	2	5	5	NUM
ejpam-6311	490	3	]	]	X
ejpam-6311	490	4	r.	r.	PROPN
ejpam-6311	490	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	490	6	,	,	PUNCT
ejpam-6311	490	7	p.	p.	NOUN
ejpam-6311	490	8	saksuriya	saksuriya	PROPN
ejpam-6311	490	9	,	,	PUNCT
ejpam-6311	490	10	t.	t.	NOUN
ejpam-6311	490	11	suebcharoen	suebcharoen	PROPN
ejpam-6311	490	12	,	,	PUNCT
ejpam-6311	490	13	and	and	CCONJ
ejpam-6311	490	14	k.	k.	PROPN
ejpam-6311	490	15	chaichana	chaichana	PROPN
ejpam-6311	490	16	.	.	PUNCT
ejpam-6311	491	1	an	an	DET
ejpam-6311	491	2	iterative	iterative	NOUN
ejpam-6311	491	3	approach	approach	NOUN
ejpam-6311	491	4	to	to	ADP
ejpam-6311	491	5	common	common	ADJ
ejpam-6311	491	6	fixed	fix	VERB
ejpam-6311	491	7	points	point	NOUN
ejpam-6311	491	8	of	of	ADP
ejpam-6311	491	9	g	g	NOUN
ejpam-6311	491	10	-	-	PUNCT
ejpam-6311	491	11	nonexpansive	nonexpansive	ADJ
ejpam-6311	491	12	mappings	mapping	NOUN
ejpam-6311	491	13	with	with	ADP
ejpam-6311	491	14	applications	application	NOUN
ejpam-6311	491	15	in	in	ADP
ejpam-6311	491	16	solving	solve	VERB
ejpam-6311	491	17	the	the	DET
ejpam-6311	491	18	heat	heat	NOUN
ejpam-6311	491	19	equation	equation	NOUN
ejpam-6311	491	20	.	.	PUNCT
ejpam-6311	492	1	axioms	axiom	NOUN
ejpam-6311	492	2	,	,	PUNCT
ejpam-6311	492	3	13(11):729	13(11):729	NUM
ejpam-6311	492	4	,	,	PUNCT
ejpam-6311	492	5	2024	2024	NUM
ejpam-6311	492	6	.	.	PUNCT
ejpam-6311	493	1	[	[	X
ejpam-6311	493	2	6	6	NUM
ejpam-6311	493	3	]	]	PUNCT
ejpam-6311	493	4	p.	p.	NOUN
ejpam-6311	493	5	sridarat	sridarat	NOUN
ejpam-6311	493	6	,	,	PUNCT
ejpam-6311	493	7	r.	r.	PROPN
ejpam-6311	493	8	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	493	9	,	,	PUNCT
ejpam-6311	493	10	s.	s.	PROPN
ejpam-6311	493	11	suantai	suantai	PROPN
ejpam-6311	493	12	,	,	PUNCT
ejpam-6311	493	13	and	and	CCONJ
ejpam-6311	493	14	y.	y.	PROPN
ejpam-6311	493	15	j.	j.	PROPN
ejpam-6311	493	16	cho	cho	PROPN
ejpam-6311	493	17	.	.	PUNCT
ejpam-6311	494	1	convergence	convergence	NOUN
ejpam-6311	494	2	analysis	analysis	NOUN
ejpam-6311	494	3	of	of	ADP
ejpam-6311	494	4	sp	sp	NOUN
ejpam-6311	494	5	-	-	PUNCT
ejpam-6311	494	6	iteration	iteration	NOUN
ejpam-6311	494	7	for	for	ADP
ejpam-6311	494	8	g	g	NOUN
ejpam-6311	494	9	-	-	PUNCT
ejpam-6311	494	10	nonexpansive	nonexpansive	ADJ
ejpam-6311	494	11	mappings	mapping	NOUN
ejpam-6311	494	12	with	with	ADP
ejpam-6311	494	13	directed	direct	VERB
ejpam-6311	494	14	graphs	graph	NOUN
ejpam-6311	494	15	.	.	PUNCT
ejpam-6311	495	1	bulletin	bulletin	NOUN
ejpam-6311	495	2	of	of	ADP
ejpam-6311	495	3	the	the	DET
ejpam-6311	495	4	malaysian	malaysian	PROPN
ejpam-6311	495	5	mathematical	mathematical	PROPN
ejpam-6311	495	6	sciences	sciences	PROPN
ejpam-6311	495	7	society	society	NOUN
ejpam-6311	495	8	,	,	PUNCT
ejpam-6311	495	9	42(5):2361–2380	42(5):2361–2380	NUM
ejpam-6311	495	10	,	,	PUNCT
ejpam-6311	495	11	2019	2019	NUM
ejpam-6311	495	12	.	.	PUNCT
ejpam-6311	496	1	s.	s.	PROPN
ejpam-6311	496	2	panma	panma	PROPN
ejpam-6311	496	3	,	,	PUNCT
ejpam-6311	496	4	r.	r.	PROPN
ejpam-6311	496	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	496	6	,	,	PUNCT
ejpam-6311	496	7	t.	t.	NOUN
ejpam-6311	496	8	chaobankoh	chaobankoh	PROPN
ejpam-6311	496	9	/	/	SYM
ejpam-6311	496	10	eur	eur	PROPN
ejpam-6311	496	11	.	.	PUNCT
ejpam-6311	497	1	j.	j.	PROPN
ejpam-6311	497	2	pure	pure	PROPN
ejpam-6311	497	3	appl	appl	PROPN
ejpam-6311	497	4	.	.	PROPN
ejpam-6311	497	5	math	math	PROPN
ejpam-6311	497	6	,	,	PUNCT
ejpam-6311	497	7	18	18	NUM
ejpam-6311	497	8	(	(	PUNCT
ejpam-6311	497	9	3	3	NUM
ejpam-6311	497	10	)	)	PUNCT
ejpam-6311	497	11	(	(	PUNCT
ejpam-6311	497	12	2025	2025	NUM
ejpam-6311	497	13	)	)	PUNCT
ejpam-6311	497	14	,	,	PUNCT
ejpam-6311	497	15	6311	6311	NUM
ejpam-6311	497	16	19	19	NUM
ejpam-6311	497	17	of	of	ADP
ejpam-6311	497	18	20	20	NUM
ejpam-6311	497	19	[	[	SYM
ejpam-6311	497	20	7	7	X
ejpam-6311	497	21	]	]	X
ejpam-6311	497	22	s.	s.	PROPN
ejpam-6311	497	23	suantai	suantai	PROPN
ejpam-6311	497	24	,	,	PUNCT
ejpam-6311	497	25	m.	m.	NOUN
ejpam-6311	497	26	donganont	donganont	PROPN
ejpam-6311	497	27	,	,	PUNCT
ejpam-6311	497	28	and	and	CCONJ
ejpam-6311	497	29	w.	w.	PROPN
ejpam-6311	497	30	cholamjiak	cholamjiak	PROPN
ejpam-6311	497	31	.	.	PUNCT
ejpam-6311	498	1	hybrid	hybrid	ADJ
ejpam-6311	498	2	methods	method	NOUN
ejpam-6311	498	3	for	for	ADP
ejpam-6311	498	4	a	a	DET
ejpam-6311	498	5	countable	countable	ADJ
ejpam-6311	498	6	family	family	NOUN
ejpam-6311	498	7	of	of	ADP
ejpam-6311	498	8	g	g	PROPN
ejpam-6311	498	9	-	-	PUNCT
ejpam-6311	498	10	nonexpansive	nonexpansive	ADJ
ejpam-6311	498	11	mappings	mapping	NOUN
ejpam-6311	498	12	in	in	ADP
ejpam-6311	498	13	hilbert	hilbert	NOUN
ejpam-6311	498	14	spaces	space	NOUN
ejpam-6311	498	15	endowed	endow	VERB
ejpam-6311	498	16	with	with	ADP
ejpam-6311	498	17	graphs	graph	NOUN
ejpam-6311	498	18	.	.	PUNCT
ejpam-6311	499	1	mathematics	mathematic	NOUN
ejpam-6311	499	2	,	,	PUNCT
ejpam-6311	499	3	7(10):936	7(10):936	NUM
ejpam-6311	499	4	,	,	PUNCT
ejpam-6311	499	5	2019	2019	NUM
ejpam-6311	499	6	.	.	PUNCT
ejpam-6311	500	1	[	[	X
ejpam-6311	500	2	8	8	X
ejpam-6311	500	3	]	]	X
ejpam-6311	500	4	s.	s.	PROPN
ejpam-6311	500	5	suantai	suantai	PROPN
ejpam-6311	500	6	,	,	PUNCT
ejpam-6311	500	7	k.	k.	PROPN
ejpam-6311	500	8	kankam	kankam	PROPN
ejpam-6311	500	9	,	,	PUNCT
ejpam-6311	500	10	p.	p.	PROPN
ejpam-6311	500	11	cholamjiak	cholamjiak	PROPN
ejpam-6311	500	12	,	,	PUNCT
ejpam-6311	500	13	and	and	CCONJ
ejpam-6311	500	14	w.	w.	PROPN
ejpam-6311	500	15	cholamjiak	cholamjiak	PROPN
ejpam-6311	500	16	.	.	PUNCT
ejpam-6311	501	1	a	a	DET
ejpam-6311	501	2	parallel	parallel	ADJ
ejpam-6311	501	3	monotone	monotone	ADJ
ejpam-6311	501	4	hybrid	hybrid	ADJ
ejpam-6311	501	5	algorithm	algorithm	NOUN
ejpam-6311	501	6	for	for	ADP
ejpam-6311	501	7	a	a	DET
ejpam-6311	501	8	finite	finite	ADJ
ejpam-6311	501	9	family	family	NOUN
ejpam-6311	501	10	of	of	ADP
ejpam-6311	501	11	g	g	PROPN
ejpam-6311	501	12	-	-	PUNCT
ejpam-6311	501	13	nonexpansive	nonexpansive	ADJ
ejpam-6311	501	14	mappings	mapping	NOUN
ejpam-6311	501	15	in	in	ADP
ejpam-6311	501	16	hilbert	hilbert	NOUN
ejpam-6311	501	17	spaces	space	NOUN
ejpam-6311	501	18	endowed	endow	VERB
ejpam-6311	501	19	with	with	ADP
ejpam-6311	501	20	a	a	DET
ejpam-6311	501	21	graph	graph	NOUN
ejpam-6311	501	22	applicable	applicable	ADJ
ejpam-6311	501	23	in	in	ADP
ejpam-6311	501	24	signal	signal	ADJ
ejpam-6311	501	25	recovery	recovery	NOUN
ejpam-6311	501	26	.	.	PUNCT
ejpam-6311	502	1	computational	computational	ADJ
ejpam-6311	502	2	and	and	CCONJ
ejpam-6311	502	3	applied	applied	ADJ
ejpam-6311	502	4	mathematics	mathematic	NOUN
ejpam-6311	502	5	,	,	PUNCT
ejpam-6311	502	6	40(4):145	40(4):145	NOUN
ejpam-6311	502	7	,	,	PUNCT
ejpam-6311	502	8	2021	2021	NUM
ejpam-6311	502	9	.	.	PUNCT
ejpam-6311	503	1	[	[	X
ejpam-6311	503	2	9	9	NUM
ejpam-6311	503	3	]	]	PUNCT
ejpam-6311	503	4	p.	p.	NOUN
ejpam-6311	503	5	charoensawan	charoensawan	PROPN
ejpam-6311	503	6	,	,	PUNCT
ejpam-6311	503	7	d.	d.	PROPN
ejpam-6311	503	8	yambangwai	yambangwai	PROPN
ejpam-6311	503	9	,	,	PUNCT
ejpam-6311	503	10	w.	w.	PROPN
ejpam-6311	503	11	cholamjiak	cholamjiak	PROPN
ejpam-6311	503	12	,	,	PUNCT
ejpam-6311	503	13	and	and	CCONJ
ejpam-6311	503	14	r.	r.	PROPN
ejpam-6311	503	15	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	503	16	.	.	PUNCT
ejpam-6311	504	1	an	an	DET
ejpam-6311	504	2	inertial	inertial	ADJ
ejpam-6311	504	3	parallel	parallel	ADJ
ejpam-6311	504	4	algorithm	algorithm	NOUN
ejpam-6311	504	5	for	for	ADP
ejpam-6311	504	6	a	a	DET
ejpam-6311	504	7	finite	finite	ADJ
ejpam-6311	504	8	family	family	NOUN
ejpam-6311	504	9	of	of	ADP
ejpam-6311	504	10	g	g	PROPN
ejpam-6311	504	11	-	-	PUNCT
ejpam-6311	504	12	nonexpansive	nonexpansive	ADJ
ejpam-6311	504	13	mappings	mapping	NOUN
ejpam-6311	504	14	with	with	ADP
ejpam-6311	504	15	application	application	NOUN
ejpam-6311	504	16	to	to	ADP
ejpam-6311	504	17	the	the	DET
ejpam-6311	504	18	diffusion	diffusion	NOUN
ejpam-6311	504	19	problem	problem	NOUN
ejpam-6311	504	20	.	.	PUNCT
ejpam-6311	505	1	advances	advance	NOUN
ejpam-6311	505	2	in	in	ADP
ejpam-6311	505	3	difference	difference	NOUN
ejpam-6311	505	4	equations	equation	NOUN
ejpam-6311	505	5	,	,	PUNCT
ejpam-6311	505	6	2021(453	2021(453	NUM
ejpam-6311	505	7	)	)	PUNCT
ejpam-6311	505	8	,	,	PUNCT
ejpam-6311	505	9	2021	2021	NUM
ejpam-6311	505	10	.	.	PUNCT
ejpam-6311	506	1	[	[	X
ejpam-6311	506	2	10	10	NUM
ejpam-6311	506	3	]	]	PUNCT
ejpam-6311	506	4	j.	j.	PROPN
ejpam-6311	506	5	j.	j.	PROPN
ejpam-6311	506	6	liaw	liaw	PROPN
ejpam-6311	506	7	,	,	PUNCT
ejpam-6311	506	8	y.	y.	PROPN
ejpam-6311	506	9	f.	f.	PROPN
ejpam-6311	506	10	huang	huang	PROPN
ejpam-6311	506	11	,	,	PUNCT
ejpam-6311	506	12	c.	c.	PROPN
ejpam-6311	506	13	h.	h.	PROPN
ejpam-6311	506	14	hsieh	hsieh	PROPN
ejpam-6311	506	15	,	,	PUNCT
ejpam-6311	506	16	d.	d.	PROPN
ejpam-6311	506	17	c.	c.	PROPN
ejpam-6311	506	18	lin	lin	PROPN
ejpam-6311	506	19	,	,	PUNCT
ejpam-6311	506	20	and	and	CCONJ
ejpam-6311	506	21	c.	c.	PROPN
ejpam-6311	506	22	h.	h.	PROPN
ejpam-6311	506	23	luo	luo	PROPN
ejpam-6311	506	24	.	.	PUNCT
ejpam-6311	507	1	pm2.5	pm2.5	PART
ejpam-6311	508	1	concentration	concentration	NOUN
ejpam-6311	508	2	estimation	estimation	NOUN
ejpam-6311	508	3	based	base	VERB
ejpam-6311	508	4	on	on	ADP
ejpam-6311	508	5	image	image	NOUN
ejpam-6311	508	6	processing	processing	NOUN
ejpam-6311	508	7	schemes	scheme	NOUN
ejpam-6311	508	8	and	and	CCONJ
ejpam-6311	508	9	simple	simple	ADJ
ejpam-6311	508	10	linear	linear	ADJ
ejpam-6311	508	11	regression	regression	NOUN
ejpam-6311	508	12	.	.	PUNCT
ejpam-6311	509	1	sensors	sensor	NOUN
ejpam-6311	509	2	,	,	PUNCT
ejpam-6311	509	3	20(8):2423	20(8):2423	NUM
ejpam-6311	509	4	,	,	PUNCT
ejpam-6311	509	5	2020	2020	NUM
ejpam-6311	509	6	.	.	PUNCT
ejpam-6311	510	1	[	[	X
ejpam-6311	510	2	11	11	NUM
ejpam-6311	510	3	]	]	PUNCT
ejpam-6311	510	4	j.	j.	PROPN
ejpam-6311	510	5	ma	ma	PROPN
ejpam-6311	510	6	,	,	PUNCT
ejpam-6311	510	7	k.	k.	PROPN
ejpam-6311	510	8	li	li	PROPN
ejpam-6311	510	9	,	,	PUNCT
ejpam-6311	510	10	y.	y.	PROPN
ejpam-6311	510	11	han	han	PROPN
ejpam-6311	510	12	,	,	PUNCT
ejpam-6311	510	13	p.	p.	NOUN
ejpam-6311	510	14	du	du	PROPN
ejpam-6311	510	15	,	,	PUNCT
ejpam-6311	510	16	and	and	CCONJ
ejpam-6311	510	17	j.	j.	PROPN
ejpam-6311	510	18	yang	yang	PROPN
ejpam-6311	510	19	.	.	PUNCT
ejpam-6311	511	1	image	image	NOUN
ejpam-6311	511	2	-	-	PUNCT
ejpam-6311	511	3	based	base	VERB
ejpam-6311	511	4	pm2.5	pm2.5	PROPN
ejpam-6311	511	5	estimation	estimation	NOUN
ejpam-6311	511	6	and	and	CCONJ
ejpam-6311	511	7	its	its	PRON
ejpam-6311	511	8	application	application	NOUN
ejpam-6311	511	9	on	on	ADP
ejpam-6311	511	10	depth	depth	NOUN
ejpam-6311	511	11	estimation	estimation	NOUN
ejpam-6311	511	12	.	.	PUNCT
ejpam-6311	512	1	in	in	ADP
ejpam-6311	512	2	2018	2018	NUM
ejpam-6311	512	3	ieee	ieee	NOUN
ejpam-6311	512	4	international	international	ADJ
ejpam-6311	512	5	conference	conference	NOUN
ejpam-6311	512	6	on	on	ADP
ejpam-6311	512	7	acoustics	acoustic	NOUN
ejpam-6311	512	8	,	,	PUNCT
ejpam-6311	512	9	speech	speech	NOUN
ejpam-6311	512	10	and	and	CCONJ
ejpam-6311	512	11	signal	signal	NOUN
ejpam-6311	512	12	processing	processing	NOUN
ejpam-6311	512	13	(	(	PUNCT
ejpam-6311	512	14	icassp	icassp	PROPN
ejpam-6311	512	15	)	)	PUNCT
ejpam-6311	512	16	,	,	PUNCT
ejpam-6311	512	17	pages	page	NOUN
ejpam-6311	512	18	1857–1861	1857–1861	NUM
ejpam-6311	512	19	,	,	PUNCT
ejpam-6311	512	20	calgary	calgary	PROPN
ejpam-6311	512	21	,	,	PUNCT
ejpam-6311	512	22	ab	ab	PROPN
ejpam-6311	512	23	,	,	PUNCT
ejpam-6311	512	24	canada	canada	PROPN
ejpam-6311	512	25	,	,	PUNCT
ejpam-6311	512	26	2018	2018	NUM
ejpam-6311	512	27	.	.	PUNCT
ejpam-6311	513	1	[	[	X
ejpam-6311	513	2	12	12	NUM
ejpam-6311	513	3	]	]	PUNCT
ejpam-6311	513	4	t.	t.	PROPN
ejpam-6311	513	5	zheng	zheng	PROPN
ejpam-6311	513	6	,	,	PUNCT
ejpam-6311	513	7	m.	m.	PROPN
ejpam-6311	513	8	h.	h.	PROPN
ejpam-6311	513	9	bergin	bergin	PROPN
ejpam-6311	513	10	,	,	PUNCT
ejpam-6311	513	11	s.	s.	PROPN
ejpam-6311	513	12	hu	hu	PROPN
ejpam-6311	513	13	,	,	PUNCT
ejpam-6311	513	14	j.	j.	PROPN
ejpam-6311	513	15	miller	miller	PROPN
ejpam-6311	513	16	,	,	PUNCT
ejpam-6311	513	17	and	and	CCONJ
ejpam-6311	513	18	d.	d.	PROPN
ejpam-6311	513	19	e.	e.	PROPN
ejpam-6311	513	20	carlson	carlson	PROPN
ejpam-6311	513	21	.	.	PUNCT
ejpam-6311	514	1	estimating	estimate	VERB
ejpam-6311	514	2	ground	ground	NOUN
ejpam-6311	514	3	-	-	PUNCT
ejpam-6311	514	4	level	level	NOUN
ejpam-6311	514	5	pm2.5	pm2.5	PROPN
ejpam-6311	514	6	using	use	VERB
ejpam-6311	514	7	micro	micro	ADJ
ejpam-6311	514	8	-	-	NOUN
ejpam-6311	514	9	satellite	satellite	ADJ
ejpam-6311	514	10	images	image	NOUN
ejpam-6311	514	11	by	by	ADP
ejpam-6311	514	12	a	a	DET
ejpam-6311	514	13	convolutional	convolutional	ADJ
ejpam-6311	514	14	neural	neural	ADJ
ejpam-6311	514	15	network	network	NOUN
ejpam-6311	514	16	and	and	CCONJ
ejpam-6311	514	17	random	random	ADJ
ejpam-6311	514	18	forest	forest	NOUN
ejpam-6311	514	19	approach	approach	NOUN
ejpam-6311	514	20	.	.	PUNCT
ejpam-6311	515	1	atmospheric	atmospheric	ADJ
ejpam-6311	515	2	environment	environment	NOUN
ejpam-6311	515	3	,	,	PUNCT
ejpam-6311	515	4	230:117451	230:117451	NUM
ejpam-6311	515	5	,	,	PUNCT
ejpam-6311	515	6	2020	2020	NUM
ejpam-6311	515	7	.	.	PUNCT
ejpam-6311	516	1	[	[	X
ejpam-6311	516	2	13	13	NUM
ejpam-6311	516	3	]	]	PUNCT
ejpam-6311	516	4	k.	k.	PROPN
ejpam-6311	516	5	gu	gu	PROPN
ejpam-6311	516	6	,	,	PUNCT
ejpam-6311	516	7	j.	j.	PROPN
ejpam-6311	516	8	qiao	qiao	PROPN
ejpam-6311	516	9	,	,	PUNCT
ejpam-6311	516	10	and	and	CCONJ
ejpam-6311	516	11	x.	x.	NOUN
ejpam-6311	516	12	li	li	PROPN
ejpam-6311	516	13	.	.	PROPN
ejpam-6311	516	14	highly	highly	ADV
ejpam-6311	516	15	efficient	efficient	ADJ
ejpam-6311	516	16	picture	picture	NOUN
ejpam-6311	516	17	-	-	PUNCT
ejpam-6311	516	18	based	base	VERB
ejpam-6311	516	19	prediction	prediction	NOUN
ejpam-6311	516	20	of	of	ADP
ejpam-6311	516	21	pm2.5	pm2.5	DET
ejpam-6311	516	22	concentration	concentration	NOUN
ejpam-6311	516	23	.	.	PUNCT
ejpam-6311	517	1	ieee	ieee	NOUN
ejpam-6311	517	2	transactions	transaction	NOUN
ejpam-6311	517	3	on	on	ADP
ejpam-6311	517	4	industrial	industrial	ADJ
ejpam-6311	517	5	electronics	electronic	NOUN
ejpam-6311	517	6	,	,	PUNCT
ejpam-6311	517	7	66(4):3176–3184	66(4):3176–3184	NOUN
ejpam-6311	517	8	,	,	PUNCT
ejpam-6311	517	9	2019	2019	NUM
ejpam-6311	517	10	.	.	PUNCT
ejpam-6311	518	1	[	[	X
ejpam-6311	518	2	14	14	NUM
ejpam-6311	518	3	]	]	X
ejpam-6311	518	4	h.	h.	PROPN
ejpam-6311	518	5	wang	wang	PROPN
ejpam-6311	518	6	,	,	PUNCT
ejpam-6311	518	7	x.	x.	PROPN
ejpam-6311	518	8	yuan	yuan	PROPN
ejpam-6311	518	9	,	,	PUNCT
ejpam-6311	518	10	x.	x.	PROPN
ejpam-6311	518	11	wang	wang	PROPN
ejpam-6311	518	12	,	,	PUNCT
ejpam-6311	518	13	y.	y.	PROPN
ejpam-6311	518	14	zhang	zhang	PROPN
ejpam-6311	518	15	,	,	PUNCT
ejpam-6311	518	16	and	and	CCONJ
ejpam-6311	518	17	q.	q.	PROPN
ejpam-6311	518	18	dai	dai	PROPN
ejpam-6311	518	19	.	.	PUNCT
ejpam-6311	519	1	real	real	ADJ
ejpam-6311	519	2	-	-	PUNCT
ejpam-6311	519	3	time	time	NOUN
ejpam-6311	519	4	air	air	NOUN
ejpam-6311	519	5	quality	quality	NOUN
ejpam-6311	519	6	estimation	estimation	NOUN
ejpam-6311	519	7	based	base	VERB
ejpam-6311	519	8	on	on	ADP
ejpam-6311	519	9	color	color	NOUN
ejpam-6311	519	10	image	image	NOUN
ejpam-6311	519	11	processing	processing	NOUN
ejpam-6311	519	12	.	.	PUNCT
ejpam-6311	520	1	in	in	ADP
ejpam-6311	520	2	2014	2014	NUM
ejpam-6311	520	3	ieee	ieee	NOUN
ejpam-6311	520	4	visual	visual	ADJ
ejpam-6311	520	5	communications	communication	NOUN
ejpam-6311	520	6	and	and	CCONJ
ejpam-6311	520	7	image	image	NOUN
ejpam-6311	520	8	processing	processing	NOUN
ejpam-6311	520	9	conference	conference	NOUN
ejpam-6311	520	10	,	,	PUNCT
ejpam-6311	520	11	pages	page	NOUN
ejpam-6311	520	12	326–329	326–329	NUM
ejpam-6311	520	13	,	,	PUNCT
ejpam-6311	520	14	valletta	valletta	PROPN
ejpam-6311	520	15	,	,	PUNCT
ejpam-6311	520	16	malta	malta	PROPN
ejpam-6311	520	17	,	,	PUNCT
ejpam-6311	520	18	2014	2014	NUM
ejpam-6311	520	19	.	.	PUNCT
ejpam-6311	521	1	[	[	X
ejpam-6311	521	2	15	15	NUM
ejpam-6311	521	3	]	]	X
ejpam-6311	521	4	m.	m.	NOUN
ejpam-6311	521	5	abbas	abbas	PROPN
ejpam-6311	521	6	and	and	CCONJ
ejpam-6311	521	7	t.	t.	PROPN
ejpam-6311	521	8	nazir	nazir	PROPN
ejpam-6311	521	9	.	.	PUNCT
ejpam-6311	522	1	a	a	DET
ejpam-6311	522	2	new	new	ADJ
ejpam-6311	522	3	faster	fast	ADJ
ejpam-6311	522	4	iteration	iteration	NOUN
ejpam-6311	522	5	process	process	NOUN
ejpam-6311	522	6	applied	apply	VERB
ejpam-6311	522	7	to	to	ADP
ejpam-6311	522	8	constrained	constrain	VERB
ejpam-6311	522	9	minimization	minimization	NOUN
ejpam-6311	522	10	and	and	CCONJ
ejpam-6311	522	11	feasibility	feasibility	NOUN
ejpam-6311	522	12	problems	problem	NOUN
ejpam-6311	522	13	.	.	PUNCT
ejpam-6311	523	1	matematički	matematički	PROPN
ejpam-6311	523	2	vesnik	vesnik	PROPN
ejpam-6311	523	3	,	,	PUNCT
ejpam-6311	523	4	66(3):223–234	66(3):223–234	PROPN
ejpam-6311	523	5	,	,	PUNCT
ejpam-6311	523	6	2014	2014	NUM
ejpam-6311	523	7	.	.	PUNCT
ejpam-6311	524	1	[	[	X
ejpam-6311	524	2	16	16	NUM
ejpam-6311	524	3	]	]	PUNCT
ejpam-6311	524	4	m.	m.	PROPN
ejpam-6311	524	5	r.	r.	PROPN
ejpam-6311	524	6	alfuraidan	alfuraidan	PROPN
ejpam-6311	524	7	and	and	CCONJ
ejpam-6311	524	8	m.	m.	NOUN
ejpam-6311	524	9	a.	a.	NOUN
ejpam-6311	524	10	khamsi	khamsi	PROPN
ejpam-6311	524	11	.	.	PUNCT
ejpam-6311	525	1	fixed	fix	VERB
ejpam-6311	525	2	points	point	NOUN
ejpam-6311	525	3	of	of	ADP
ejpam-6311	525	4	monotone	monotone	ADJ
ejpam-6311	525	5	nonexpansive	nonexpansive	ADJ
ejpam-6311	525	6	mappings	mapping	NOUN
ejpam-6311	525	7	on	on	ADP
ejpam-6311	525	8	a	a	DET
ejpam-6311	525	9	hyperbolic	hyperbolic	ADJ
ejpam-6311	525	10	metric	metric	ADJ
ejpam-6311	525	11	space	space	NOUN
ejpam-6311	525	12	with	with	ADP
ejpam-6311	525	13	a	a	DET
ejpam-6311	525	14	graph	graph	NOUN
ejpam-6311	525	15	.	.	PUNCT
ejpam-6311	526	1	fixed	fix	VERB
ejpam-6311	526	2	point	point	NOUN
ejpam-6311	526	3	theory	theory	NOUN
ejpam-6311	526	4	and	and	CCONJ
ejpam-6311	526	5	applications	application	NOUN
ejpam-6311	526	6	,	,	PUNCT
ejpam-6311	526	7	2015(1):44	2015(1):44	NUM
ejpam-6311	526	8	,	,	PUNCT
ejpam-6311	526	9	2015	2015	NUM
ejpam-6311	526	10	.	.	PUNCT
ejpam-6311	527	1	[	[	X
ejpam-6311	527	2	17	17	NUM
ejpam-6311	527	3	]	]	X
ejpam-6311	527	4	h.	h.	PROPN
ejpam-6311	527	5	h.	h.	PROPN
ejpam-6311	527	6	bauschke	bauschke	PROPN
ejpam-6311	527	7	and	and	CCONJ
ejpam-6311	527	8	p.	p.	NOUN
ejpam-6311	527	9	l.	l.	PROPN
ejpam-6311	527	10	combettes	combettes	PROPN
ejpam-6311	527	11	.	.	PUNCT
ejpam-6311	528	1	convex	convex	VERB
ejpam-6311	528	2	analysis	analysis	NOUN
ejpam-6311	528	3	and	and	CCONJ
ejpam-6311	528	4	monotone	monotone	ADJ
ejpam-6311	528	5	operator	operator	NOUN
ejpam-6311	528	6	theory	theory	NOUN
ejpam-6311	528	7	in	in	ADP
ejpam-6311	528	8	hilbert	hilbert	PROPN
ejpam-6311	528	9	spaces	space	NOUN
ejpam-6311	528	10	.	.	PUNCT
ejpam-6311	529	1	cms	cms	NOUN
ejpam-6311	529	2	books	book	NOUN
ejpam-6311	529	3	in	in	ADP
ejpam-6311	529	4	mathematics	mathematic	NOUN
ejpam-6311	529	5	.	.	PUNCT
ejpam-6311	530	1	springer	springer	PROPN
ejpam-6311	530	2	,	,	PUNCT
ejpam-6311	530	3	new	new	PROPN
ejpam-6311	530	4	york	york	PROPN
ejpam-6311	530	5	,	,	PUNCT
ejpam-6311	530	6	ny	ny	PROPN
ejpam-6311	530	7	,	,	PUNCT
ejpam-6311	530	8	usa	usa	PROPN
ejpam-6311	530	9	,	,	PUNCT
ejpam-6311	530	10	2011	2011	NUM
ejpam-6311	530	11	.	.	PUNCT
ejpam-6311	531	1	[	[	X
ejpam-6311	531	2	18	18	NUM
ejpam-6311	531	3	]	]	PUNCT
ejpam-6311	531	4	a.	a.	NOUN
ejpam-6311	531	5	auslender	auslender	NOUN
ejpam-6311	531	6	,	,	PUNCT
ejpam-6311	531	7	m.	m.	NOUN
ejpam-6311	531	8	teboulle	teboulle	NOUN
ejpam-6311	531	9	,	,	PUNCT
ejpam-6311	531	10	and	and	CCONJ
ejpam-6311	531	11	s.	s.	PROPN
ejpam-6311	531	12	ben	ben	PROPN
ejpam-6311	531	13	-	-	PROPN
ejpam-6311	531	14	tiba	tiba	PROPN
ejpam-6311	531	15	.	.	PUNCT
ejpam-6311	532	1	a	a	DET
ejpam-6311	532	2	logarithmic	logarithmic	ADJ
ejpam-6311	532	3	-	-	PUNCT
ejpam-6311	532	4	quadratic	quadratic	ADJ
ejpam-6311	532	5	proximal	proximal	ADJ
ejpam-6311	532	6	method	method	NOUN
ejpam-6311	532	7	for	for	ADP
ejpam-6311	532	8	variational	variational	ADJ
ejpam-6311	532	9	inequalities	inequality	NOUN
ejpam-6311	532	10	.	.	PUNCT
ejpam-6311	533	1	computational	computational	ADJ
ejpam-6311	533	2	optimization	optimization	NOUN
ejpam-6311	533	3	and	and	CCONJ
ejpam-6311	533	4	applications	application	NOUN
ejpam-6311	533	5	,	,	PUNCT
ejpam-6311	533	6	12(1):31–40	12(1):31–40	NUM
ejpam-6311	533	7	,	,	PUNCT
ejpam-6311	533	8	1999	1999	NUM
ejpam-6311	533	9	.	.	PUNCT
ejpam-6311	534	1	[	[	X
ejpam-6311	534	2	19	19	NUM
ejpam-6311	534	3	]	]	X
ejpam-6311	534	4	r.	r.	PROPN
ejpam-6311	534	5	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	534	6	,	,	PUNCT
ejpam-6311	534	7	s.	s.	PROPN
ejpam-6311	534	8	suantai	suantai	PROPN
ejpam-6311	534	9	,	,	PUNCT
ejpam-6311	534	10	and	and	CCONJ
ejpam-6311	534	11	w.	w.	PROPN
ejpam-6311	534	12	cholamjiak	cholamjiak	PROPN
ejpam-6311	534	13	.	.	PUNCT
ejpam-6311	535	1	hybrid	hybrid	ADJ
ejpam-6311	535	2	methods	method	NOUN
ejpam-6311	535	3	for	for	ADP
ejpam-6311	535	4	a	a	DET
ejpam-6311	535	5	finite	finite	ADJ
ejpam-6311	535	6	family	family	NOUN
ejpam-6311	535	7	of	of	ADP
ejpam-6311	535	8	g	g	PROPN
ejpam-6311	535	9	-	-	PUNCT
ejpam-6311	535	10	nonexpansive	nonexpansive	ADJ
ejpam-6311	535	11	mappings	mapping	NOUN
ejpam-6311	535	12	in	in	ADP
ejpam-6311	535	13	hilbert	hilbert	NOUN
ejpam-6311	535	14	spaces	space	NOUN
ejpam-6311	535	15	endowed	endow	VERB
ejpam-6311	535	16	with	with	ADP
ejpam-6311	535	17	graphs	graph	NOUN
ejpam-6311	535	18	.	.	PUNCT
ejpam-6311	536	1	akce	akce	PROPN
ejpam-6311	536	2	international	international	PROPN
ejpam-6311	536	3	journal	journal	NOUN
ejpam-6311	536	4	of	of	ADP
ejpam-6311	536	5	graphs	graph	NOUN
ejpam-6311	536	6	and	and	CCONJ
ejpam-6311	536	7	combinatorics	combinatoric	NOUN
ejpam-6311	536	8	,	,	PUNCT
ejpam-6311	536	9	14(2):101–111	14(2):101–111	NUM
ejpam-6311	536	10	,	,	PUNCT
ejpam-6311	536	11	2017	2017	NUM
ejpam-6311	536	12	.	.	PUNCT
ejpam-6311	537	1	[	[	X
ejpam-6311	537	2	20	20	NUM
ejpam-6311	537	3	]	]	PUNCT
ejpam-6311	537	4	w.	w.	PROPN
ejpam-6311	537	5	xue	xue	PROPN
ejpam-6311	537	6	,	,	PUNCT
ejpam-6311	537	7	l.	l.	PROPN
ejpam-6311	537	8	zhang	zhang	PROPN
ejpam-6311	537	9	,	,	PUNCT
ejpam-6311	537	10	x.	x.	PROPN
ejpam-6311	537	11	mou	mou	PROPN
ejpam-6311	537	12	,	,	PUNCT
ejpam-6311	537	13	and	and	CCONJ
ejpam-6311	537	14	a.	a.	NOUN
ejpam-6311	537	15	c.	c.	PROPN
ejpam-6311	537	16	bovik	bovik	NOUN
ejpam-6311	537	17	.	.	PUNCT
ejpam-6311	538	1	gradient	gradient	ADJ
ejpam-6311	538	2	magnitude	magnitude	NOUN
ejpam-6311	538	3	similarity	similarity	NOUN
ejpam-6311	538	4	deviation	deviation	NOUN
ejpam-6311	538	5	:	:	PUNCT
ejpam-6311	538	6	a	a	DET
ejpam-6311	538	7	highly	highly	ADV
ejpam-6311	538	8	efficient	efficient	ADJ
ejpam-6311	538	9	perceptual	perceptual	ADJ
ejpam-6311	538	10	image	image	NOUN
ejpam-6311	538	11	quality	quality	NOUN
ejpam-6311	538	12	index	index	NOUN
ejpam-6311	538	13	.	.	PUNCT
ejpam-6311	539	1	ieee	ieee	NOUN
ejpam-6311	539	2	transactions	transaction	NOUN
ejpam-6311	539	3	on	on	ADP
ejpam-6311	539	4	image	image	NOUN
ejpam-6311	539	5	processing	processing	NOUN
ejpam-6311	539	6	,	,	PUNCT
ejpam-6311	539	7	23(2):684–695	23(2):684–695	NUM
ejpam-6311	539	8	,	,	PUNCT
ejpam-6311	539	9	2014	2014	NUM
ejpam-6311	539	10	.	.	PUNCT
ejpam-6311	540	1	[	[	X
ejpam-6311	540	2	21	21	NUM
ejpam-6311	540	3	]	]	X
ejpam-6311	540	4	b.	b.	PROPN
ejpam-6311	540	5	zhang	zhang	PROPN
ejpam-6311	540	6	,	,	PUNCT
ejpam-6311	540	7	p.	p.	PROPN
ejpam-6311	540	8	v.	v.	ADP
ejpam-6311	540	9	sander	sander	NOUN
ejpam-6311	540	10	,	,	PUNCT
ejpam-6311	540	11	and	and	CCONJ
ejpam-6311	540	12	a.	a.	PROPN
ejpam-6311	540	13	bermak	bermak	PROPN
ejpam-6311	540	14	.	.	PUNCT
ejpam-6311	541	1	gradient	gradient	ADJ
ejpam-6311	541	2	magnitude	magnitude	NOUN
ejpam-6311	541	3	similarity	similarity	NOUN
ejpam-6311	541	4	deviation	deviation	NOUN
ejpam-6311	541	5	on	on	ADP
ejpam-6311	541	6	multiple	multiple	ADJ
ejpam-6311	541	7	scales	scale	NOUN
ejpam-6311	541	8	for	for	ADP
ejpam-6311	541	9	color	color	NOUN
ejpam-6311	541	10	image	image	NOUN
ejpam-6311	541	11	quality	quality	NOUN
ejpam-6311	541	12	assessment	assessment	NOUN
ejpam-6311	541	13	.	.	PUNCT
ejpam-6311	542	1	in	in	ADP
ejpam-6311	542	2	2017	2017	NUM
ejpam-6311	542	3	ieee	ieee	NOUN
ejpam-6311	542	4	international	international	PROPN
ejpam-6311	542	5	s.	s.	PROPN
ejpam-6311	542	6	panma	panma	PROPN
ejpam-6311	542	7	,	,	PUNCT
ejpam-6311	542	8	r.	r.	PROPN
ejpam-6311	542	9	suparatulatorn	suparatulatorn	PROPN
ejpam-6311	542	10	,	,	PUNCT
ejpam-6311	542	11	t.	t.	NOUN
ejpam-6311	542	12	chaobankoh	chaobankoh	PROPN
ejpam-6311	542	13	/	/	SYM
ejpam-6311	542	14	eur	eur	PROPN
ejpam-6311	542	15	.	.	PUNCT
ejpam-6311	543	1	j.	j.	PROPN
ejpam-6311	543	2	pure	pure	PROPN
ejpam-6311	543	3	appl	appl	PROPN
ejpam-6311	543	4	.	.	PROPN
ejpam-6311	543	5	math	math	PROPN
ejpam-6311	543	6	,	,	PUNCT
ejpam-6311	543	7	18	18	NUM
ejpam-6311	543	8	(	(	PUNCT
ejpam-6311	543	9	3	3	NUM
ejpam-6311	543	10	)	)	PUNCT
ejpam-6311	543	11	(	(	PUNCT
ejpam-6311	543	12	2025	2025	NUM
ejpam-6311	543	13	)	)	PUNCT
ejpam-6311	543	14	,	,	PUNCT
ejpam-6311	543	15	6311	6311	NUM
ejpam-6311	543	16	20	20	NUM
ejpam-6311	543	17	of	of	ADP
ejpam-6311	543	18	20	20	NUM
ejpam-6311	543	19	conference	conference	NOUN
ejpam-6311	543	20	on	on	ADP
ejpam-6311	543	21	acoustics	acoustic	NOUN
ejpam-6311	543	22	,	,	PUNCT
ejpam-6311	543	23	speech	speech	NOUN
ejpam-6311	543	24	and	and	CCONJ
ejpam-6311	543	25	signal	signal	NOUN
ejpam-6311	543	26	processing	processing	NOUN
ejpam-6311	543	27	(	(	PUNCT
ejpam-6311	543	28	icassp	icassp	PROPN
ejpam-6311	543	29	)	)	PUNCT
ejpam-6311	543	30	,	,	PUNCT
ejpam-6311	543	31	pages	page	NOUN
ejpam-6311	543	32	1253–1257	1253–1257	NUM
ejpam-6311	543	33	,	,	PUNCT
ejpam-6311	543	34	new	new	PROPN
ejpam-6311	543	35	orleans	orleans	PROPN
ejpam-6311	543	36	,	,	PUNCT
ejpam-6311	543	37	la	la	PROPN
ejpam-6311	543	38	,	,	PUNCT
ejpam-6311	543	39	usa	usa	PROPN
ejpam-6311	543	40	,	,	PUNCT
ejpam-6311	543	41	2017	2017	NUM
ejpam-6311	543	42	.	.	PUNCT