id	sid	tid	token	lemma	pos
ma-50	1	1	2022	2022	NUM
ma-50	1	2	ada	ada	PROPN
ma-50	1	3	academica	academica	PROPN
ma-50	1	4	https://adac.eeeur	https://adac.eeeur	PROPN
ma-50	1	5	.	.	PUNCT
ma-50	2	1	j.	j.	PROPN
ma-50	2	2	math	math	PROPN
ma-50	2	3	.	.	PUNCT
ma-50	3	1	anal	anal	ADJ
ma-50	3	2	.	.	PUNCT
ma-50	3	3	2	2	NUM
ma-50	3	4	(	(	PUNCT
ma-50	3	5	2022	2022	NUM
ma-50	3	6	)	)	PUNCT
ma-50	3	7	1doi	1doi	NUM
ma-50	3	8	:	:	PUNCT
ma-50	3	9	10.28924	10.28924	NUM
ma-50	3	10	/	/	SYM
ma-50	3	11	ada	ada	NOUN
ma-50	3	12	/	/	SYM
ma-50	3	13	ma.2.1	ma.2.1	NOUN
ma-50	3	14	convergence	convergence	NOUN
ma-50	3	15	and	and	CCONJ
ma-50	3	16	stability	stability	NOUN
ma-50	3	17	of	of	ADP
ma-50	3	18	new	new	ADJ
ma-50	3	19	approximation	approximation	NOUN
ma-50	3	20	algorithms	algorithm	NOUN
ma-50	3	21	for	for	ADP
ma-50	3	22	certain	certain	ADJ
ma-50	3	23	contractive	contractive	ADJ
ma-50	3	24	-	-	PUNCT
ma-50	3	25	type	type	NOUN
ma-50	3	26	mappings	mapping	NOUN
ma-50	3	27	imo	imo	X
ma-50	3	28	kalu	kalu	PROPN
ma-50	3	29	agwu∗	agwu∗	NOUN
ma-50	3	30	,	,	PUNCT
ma-50	3	31	donatus	donatus	X
ma-50	3	32	ikechi	ikechi	PROPN
ma-50	3	33	igbokwe	igbokwe	PROPN
ma-50	3	34	department	department	PROPN
ma-50	3	35	of	of	ADP
ma-50	3	36	mathematics	mathematic	NOUN
ma-50	3	37	,	,	PUNCT
ma-50	3	38	micheal	micheal	NOUN
ma-50	3	39	okpara	okpara	NOUN
ma-50	3	40	university	university	PROPN
ma-50	3	41	of	of	ADP
ma-50	3	42	agriculture	agriculture	PROPN
ma-50	3	43	,	,	PUNCT
ma-50	3	44	umudike	umudike	NOUN
ma-50	3	45	,	,	PUNCT
ma-50	3	46	umuahia	umuahia	PROPN
ma-50	3	47	abia	abia	PROPN
ma-50	3	48	state	state	PROPN
ma-50	3	49	,	,	PUNCT
ma-50	3	50	nigeria	nigeria	PROPN
ma-50	3	51	agwu.imoh@mouau.edu.ng	agwu.imoh@mouau.edu.ng	ADJ
ma-50	3	52	,	,	PUNCT
ma-50	3	53	igbokwedi@yahoo.com	igbokwedi@yahoo.com	PUNCT
ma-50	4	1	∗correspondence	∗correspondence	NOUN
ma-50	4	2	:	:	PUNCT
ma-50	4	3	agwu.imoh@mouau.edu.ng	agwu.imoh@mouau.edu.ng	ADJ
ma-50	4	4	abstract	abstract	NOUN
ma-50	4	5	.	.	PUNCT
ma-50	5	1	we	we	PRON
ma-50	5	2	present	present	VERB
ma-50	5	3	new	new	ADJ
ma-50	5	4	fixed	fix	VERB
ma-50	5	5	points	point	NOUN
ma-50	5	6	algorithms	algorithm	NOUN
ma-50	5	7	called	call	VERB
ma-50	5	8	multistep	multistep	ADJ
ma-50	5	9	h	h	NOUN
ma-50	5	10	-	-	PUNCT
ma-50	5	11	iterative	iterative	NOUN
ma-50	5	12	scheme	scheme	NOUN
ma-50	5	13	and	and	CCONJ
ma-50	5	14	multistepsh	multistepsh	ADJ
ma-50	5	15	-	-	PUNCT
ma-50	5	16	iterative	iterative	NOUN
ma-50	5	17	scheme	scheme	NOUN
ma-50	5	18	.	.	PUNCT
ma-50	6	1	under	under	ADP
ma-50	6	2	certain	certain	ADJ
ma-50	6	3	contractive	contractive	ADJ
ma-50	6	4	-	-	PUNCT
ma-50	6	5	type	type	NOUN
ma-50	6	6	condition	condition	NOUN
ma-50	6	7	,	,	PUNCT
ma-50	6	8	convergence	convergence	NOUN
ma-50	6	9	and	and	CCONJ
ma-50	6	10	stability	stability	NOUN
ma-50	6	11	results	result	NOUN
ma-50	6	12	wereestablished	wereestablishe	VERB
ma-50	6	13	without	without	ADP
ma-50	6	14	any	any	DET
ma-50	6	15	imposition	imposition	NOUN
ma-50	6	16	of	of	ADP
ma-50	6	17	the	the	DET
ma-50	6	18	’	'	PUNCT
ma-50	6	19	sum	sum	NOUN
ma-50	6	20	conditions	condition	NOUN
ma-50	6	21	’	'	PUNCT
ma-50	6	22	,	,	PUNCT
ma-50	6	23	which	which	PRON
ma-50	6	24	to	to	ADP
ma-50	6	25	a	a	DET
ma-50	6	26	large	large	ADJ
ma-50	6	27	extent	extent	NOUN
ma-50	6	28	make	make	VERB
ma-50	6	29	some	some	DET
ma-50	6	30	existingiterative	existingiterative	ADJ
ma-50	6	31	schemes	scheme	NOUN
ma-50	6	32	so	so	ADV
ma-50	6	33	far	far	ADV
ma-50	6	34	studied	study	VERB
ma-50	6	35	by	by	ADP
ma-50	6	36	other	other	ADJ
ma-50	6	37	authors	author	NOUN
ma-50	6	38	in	in	ADP
ma-50	6	39	this	this	DET
ma-50	6	40	direction	direction	NOUN
ma-50	6	41	practically	practically	ADV
ma-50	6	42	inefficient	inefficient	ADJ
ma-50	6	43	.	.	PUNCT
ma-50	7	1	our	our	PRON
ma-50	7	2	resultscomplement	resultscomplement	NOUN
ma-50	7	3	and	and	CCONJ
ma-50	7	4	improve	improve	VERB
ma-50	7	5	some	some	DET
ma-50	7	6	recent	recent	ADJ
ma-50	7	7	results	result	NOUN
ma-50	7	8	in	in	ADP
ma-50	7	9	literature	literature	NOUN
ma-50	7	10	.	.	PUNCT
ma-50	8	1	1	1	X
ma-50	8	2	.	.	X
ma-50	8	3	introduction	introduction	NOUN
ma-50	8	4	there	there	PRON
ma-50	8	5	is	be	VERB
ma-50	8	6	an	an	DET
ma-50	8	7	intimate	intimate	ADJ
ma-50	8	8	connection	connection	NOUN
ma-50	8	9	existing	exist	VERB
ma-50	8	10	between	between	ADP
ma-50	8	11	nonlinear	nonlinear	ADJ
ma-50	8	12	problems	problem	NOUN
ma-50	8	13	and	and	CCONJ
ma-50	8	14	fixed	fix	VERB
ma-50	8	15	point	point	NOUN
ma-50	8	16	problemsof	problemsof	NOUN
ma-50	8	17	related	relate	VERB
ma-50	8	18	contractive	contractive	ADJ
ma-50	8	19	-	-	PUNCT
ma-50	8	20	type	type	NOUN
ma-50	8	21	operators	operator	NOUN
ma-50	8	22	.	.	PUNCT
ma-50	9	1	as	as	ADP
ma-50	9	2	a	a	DET
ma-50	9	3	result	result	NOUN
ma-50	9	4	,	,	PUNCT
ma-50	9	5	researchers	researcher	NOUN
ma-50	9	6	have	have	AUX
ma-50	9	7	focused	focus	VERB
ma-50	9	8	more	more	ADJ
ma-50	9	9	attention	attention	NOUN
ma-50	9	10	onfinding	onfinde	VERB
ma-50	9	11	approximate	approximate	ADJ
ma-50	9	12	fixed	fix	VERB
ma-50	9	13	points	point	NOUN
ma-50	9	14	of	of	ADP
ma-50	9	15	different	different	ADJ
ma-50	9	16	contractive	contractive	ADJ
ma-50	9	17	-	-	PUNCT
ma-50	9	18	type	type	NOUN
ma-50	9	19	mappings	mapping	NOUN
ma-50	9	20	in	in	ADP
ma-50	9	21	recent	recent	ADJ
ma-50	9	22	times	time	NOUN
ma-50	9	23	;	;	PUNCT
ma-50	9	24	see	see	VERB
ma-50	9	25	,	,	PUNCT
ma-50	9	26	forexample	forexample	NOUN
ma-50	9	27	,	,	PUNCT
ma-50	9	28	[	[	X
ma-50	9	29	5	5	NUM
ma-50	9	30	]	]	PUNCT
ma-50	9	31	,	,	PUNCT
ma-50	9	32	[	[	X
ma-50	9	33	6	6	NUM
ma-50	9	34	]	]	PUNCT
ma-50	9	35	,	,	PUNCT
ma-50	9	36	[	[	X
ma-50	9	37	7	7	NUM
ma-50	9	38	]	]	PUNCT
ma-50	9	39	,	,	PUNCT
ma-50	9	40	[	[	X
ma-50	9	41	8	8	NUM
ma-50	9	42	]	]	PUNCT
ma-50	9	43	,	,	PUNCT
ma-50	9	44	[	[	X
ma-50	9	45	9	9	NUM
ma-50	9	46	]	]	PUNCT
ma-50	9	47	,	,	PUNCT
ma-50	9	48	[	[	X
ma-50	9	49	10	10	NUM
ma-50	9	50	]	]	PUNCT
ma-50	9	51	,	,	PUNCT
ma-50	9	52	[	[	X
ma-50	9	53	11	11	NUM
ma-50	9	54	]	]	PUNCT
ma-50	9	55	,	,	PUNCT
ma-50	9	56	[	[	X
ma-50	9	57	18	18	NUM
ma-50	9	58	]	]	PUNCT
ma-50	9	59	,	,	PUNCT
ma-50	9	60	[	[	X
ma-50	9	61	25	25	NUM
ma-50	9	62	]	]	PUNCT
ma-50	9	63	,	,	PUNCT
ma-50	9	64	[	[	X
ma-50	9	65	28	28	NUM
ma-50	9	66	]	]	PUNCT
ma-50	9	67	,	,	PUNCT
ma-50	9	68	etc	etc	X
ma-50	9	69	.	.	X
ma-50	10	1	and	and	CCONJ
ma-50	10	2	the	the	DET
ma-50	10	3	reference	reference	NOUN
ma-50	10	4	contained	contain	VERB
ma-50	10	5	in	in	ADP
ma-50	10	6	them	they	PRON
ma-50	10	7	.	.	PUNCT
ma-50	11	1	let	let	VERB
ma-50	11	2	xbe	xbe	PROPN
ma-50	11	3	a	a	DET
ma-50	11	4	normed	normed	ADJ
ma-50	11	5	linear	linear	ADJ
ma-50	11	6	space	space	NOUN
ma-50	11	7	and	and	CCONJ
ma-50	11	8	γ	γ	X
ma-50	11	9	:	:	PUNCT
ma-50	11	10	x	x	PUNCT
ma-50	11	11	−→	−→	NOUN
ma-50	11	12	x	x	PUNCT
ma-50	11	13	a	a	DET
ma-50	11	14	given	give	VERB
ma-50	11	15	of	of	ADP
ma-50	11	16	x	x	X
ma-50	11	17	.	.	PUNCT
ma-50	12	1	we	we	PRON
ma-50	12	2	represent	represent	VERB
ma-50	12	3	the	the	DET
ma-50	12	4	set	set	NOUN
ma-50	12	5	of	of	ADP
ma-50	12	6	fixed	fix	VERB
ma-50	12	7	points	point	NOUN
ma-50	12	8	of	of	ADP
ma-50	12	9	γby	γby	PROPN
ma-50	12	10	f	f	PROPN
ma-50	12	11	(	(	PUNCT
ma-50	12	12	γ	γ	PROPN
ma-50	12	13	)	)	PUNCT
ma-50	12	14	=	=	NOUN
ma-50	12	15	{	{	PUNCT
ma-50	12	16	q	q	NOUN
ma-50	12	17	∈	∈	PROPN
ma-50	12	18	x	x	X
ma-50	12	19	:	:	PUNCT
ma-50	12	20	q	q	X
ma-50	12	21	=	=	SYM
ma-50	12	22	γ(q)}.for	γ(q)}.for	ADP
ma-50	12	23	the	the	DET
ma-50	12	24	past	past	ADJ
ma-50	12	25	forty	forty	NUM
ma-50	12	26	years	year	NOUN
ma-50	12	27	or	or	CCONJ
ma-50	12	28	so	so	ADV
ma-50	12	29	,	,	PUNCT
ma-50	12	30	some	some	DET
ma-50	12	31	investigation	investigation	NOUN
ma-50	12	32	of	of	ADP
ma-50	12	33	fixed	fix	VERB
ma-50	12	34	points	point	NOUN
ma-50	12	35	via	via	ADP
ma-50	12	36	iterative	iterative	NOUN
ma-50	12	37	schemes	scheme	NOUN
ma-50	12	38	have	have	VERB
ma-50	12	39	beena	beena	NOUN
ma-50	12	40	flourishing	flourish	VERB
ma-50	12	41	area	area	NOUN
ma-50	12	42	of	of	ADP
ma-50	12	43	research	research	NOUN
ma-50	12	44	for	for	ADP
ma-50	12	45	many	many	ADJ
ma-50	12	46	mathematicians	mathematician	NOUN
ma-50	12	47	.	.	PUNCT
ma-50	13	1	mann	mann	PROPN
ma-50	14	1	[	[	X
ma-50	14	2	21	21	NUM
ma-50	14	3	]	]	PUNCT
ma-50	14	4	,	,	PUNCT
ma-50	14	5	ishikawa	ishikawa	PROPN
ma-50	15	1	[	[	X
ma-50	15	2	22	22	NUM
ma-50	15	3	]	]	PUNCT
ma-50	15	4	and	and	CCONJ
ma-50	15	5	noor	noor	PROPN
ma-50	16	1	[	[	X
ma-50	16	2	19]iterative	19]iterative	NUM
ma-50	16	3	schemes	scheme	NOUN
ma-50	16	4	,	,	PUNCT
ma-50	16	5	with	with	ADP
ma-50	16	6	their	their	PRON
ma-50	16	7	modifications	modification	NOUN
ma-50	16	8	,	,	PUNCT
ma-50	16	9	have	have	AUX
ma-50	16	10	been	be	AUX
ma-50	16	11	studied	study	VERB
ma-50	16	12	by	by	ADP
ma-50	16	13	different	different	ADJ
ma-50	16	14	authors	author	NOUN
ma-50	16	15	and	and	CCONJ
ma-50	16	16	differentinteresting	differentintereste	VERB
ma-50	16	17	results	result	NOUN
ma-50	16	18	were	be	AUX
ma-50	16	19	obtained	obtain	VERB
ma-50	16	20	.	.	PUNCT
ma-50	17	1	however	however	ADV
ma-50	17	2	,	,	PUNCT
ma-50	17	3	to	to	PART
ma-50	17	4	meet	meet	VERB
ma-50	17	5	up	up	ADP
ma-50	17	6	with	with	ADP
ma-50	17	7	the	the	DET
ma-50	17	8	demand	demand	NOUN
ma-50	17	9	of	of	ADP
ma-50	17	10	the	the	DET
ma-50	17	11	modern	modern	ADJ
ma-50	17	12	fixedpoint	fixedpoint	NOUN
ma-50	17	13	theory	theory	NOUN
ma-50	17	14	,	,	PUNCT
ma-50	17	15	researchers	researcher	NOUN
ma-50	17	16	have	have	AUX
ma-50	17	17	continually	continually	ADV
ma-50	17	18	renewed	renew	VERB
ma-50	17	19	their	their	PRON
ma-50	17	20	efforts	effort	NOUN
ma-50	17	21	toward	toward	ADP
ma-50	17	22	constructing	construct	VERB
ma-50	17	23	more	more	ADJ
ma-50	17	24	efficientiterative	efficientiterative	ADJ
ma-50	17	25	schemes	scheme	NOUN
ma-50	17	26	.	.	PUNCT
ma-50	18	1	in	in	ADP
ma-50	18	2	this	this	DET
ma-50	18	3	direction	direction	NOUN
ma-50	18	4	,	,	PUNCT
ma-50	18	5	following	follow	VERB
ma-50	18	6	kirk	kirk	PROPN
ma-50	18	7	’s	’s	PART
ma-50	18	8	introduction	introduction	NOUN
ma-50	18	9	of	of	ADP
ma-50	18	10	his	his	PRON
ma-50	18	11	remarkable	remarkable	ADJ
ma-50	18	12	iterative	iterative	NOUN
ma-50	18	13	schemein	schemein	NOUN
ma-50	18	14	1971	1971	NUM
ma-50	18	15	,	,	PUNCT
ma-50	18	16	the	the	DET
ma-50	18	17	results	result	NOUN
ma-50	18	18	below	below	ADV
ma-50	18	19	have	have	AUX
ma-50	18	20	found	find	VERB
ma-50	18	21	thier	thier	PRON
ma-50	18	22	place	place	NOUN
ma-50	18	23	in	in	ADP
ma-50	18	24	the	the	DET
ma-50	18	25	current	current	ADJ
ma-50	18	26	literature.let	literature.let	NOUN
ma-50	18	27	x	x	PUNCT
ma-50	18	28	and	and	CCONJ
ma-50	18	29	γ	γ	X
ma-50	18	30	be	be	AUX
ma-50	18	31	as	as	ADP
ma-50	18	32	earlier	early	ADV
ma-50	18	33	stated	state	VERB
ma-50	18	34	.	.	PUNCT
ma-50	19	1	received	receive	VERB
ma-50	19	2	:	:	PUNCT
ma-50	19	3	1	1	NUM
ma-50	19	4	nov	nov	PROPN
ma-50	19	5	2021	2021	NUM
ma-50	19	6	.	.	PUNCT
ma-50	20	1	key	key	ADJ
ma-50	20	2	words	word	NOUN
ma-50	20	3	and	and	CCONJ
ma-50	20	4	phrases	phrase	NOUN
ma-50	20	5	.	.	PUNCT
ma-50	21	1	strong	strong	ADJ
ma-50	21	2	convergence	convergence	NOUN
ma-50	21	3	;	;	PUNCT
ma-50	21	4	multistep	multistep	ADJ
ma-50	21	5	h	h	NOUN
ma-50	21	6	-	-	PUNCT
ma-50	21	7	iterative	iterative	NOUN
ma-50	21	8	scheme	scheme	NOUN
ma-50	21	9	;	;	PUNCT
ma-50	21	10	multistep	multistep	ADJ
ma-50	21	11	sh	sh	PROPN
ma-50	21	12	-	-	PUNCT
ma-50	21	13	iterative	iterative	NOUN
ma-50	21	14	scheme	scheme	NOUN
ma-50	21	15	;	;	PUNCT
ma-50	21	16	stability;contractive	stability;contractive	ADJ
ma-50	21	17	operator	operator	NOUN
ma-50	21	18	;	;	PUNCT
ma-50	21	19	fixed	fix	VERB
ma-50	21	20	point	point	NOUN
ma-50	21	21	;	;	PUNCT
ma-50	21	22	normed	normed	PROPN
ma-50	21	23	linear	linear	ADJ
ma-50	21	24	space	space	NOUN
ma-50	21	25	.	.	PUNCT
ma-50	22	1	1	1	NUM
ma-50	22	2	https://adac.ee	https://adac.ee	PROPN
ma-50	22	3	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	22	4	eur	eur	NOUN
ma-50	22	5	.	.	PUNCT
ma-50	23	1	j.	j.	PROPN
ma-50	23	2	math	math	PROPN
ma-50	23	3	.	.	PUNCT
ma-50	24	1	anal	anal	PROPN
ma-50	24	2	.	.	PUNCT
ma-50	25	1	10.28924	10.28924	NUM
ma-50	25	2	/	/	SYM
ma-50	25	3	ada	ada	PROPN
ma-50	25	4	/	/	SYM
ma-50	25	5	ma.2.1	ma.2.1	PROPN
ma-50	25	6	2	2	NUM
ma-50	25	7	(	(	PUNCT
ma-50	25	8	a	a	NOUN
ma-50	25	9	)	)	PUNCT
ma-50	25	10	for	for	ADP
ma-50	25	11	arbitrarily	arbitrarily	ADV
ma-50	25	12	y0	y0	VERB
ma-50	25	13	∈	∈	NOUN
ma-50	25	14	x	x	PUNCT
ma-50	25	15	,	,	PUNCT
ma-50	25	16	let	let	VERB
ma-50	25	17	the	the	DET
ma-50	25	18	sequence	sequence	NOUN
ma-50	25	19	{	{	PUNCT
ma-50	25	20	yn}∞n=0	yn}∞n=0	NUM
ma-50	25	21	be	be	AUX
ma-50	25	22	defined	define	VERB
ma-50	25	23	iteratively	iteratively	ADV
ma-50	25	24	as	as	SCONJ
ma-50	25	25	follows	follow	VERB
ma-50	25	26	:	:	PUNCT
ma-50	25	27	yn+1	yn+1	PROPN
ma-50	25	28	=	=	SYM
ma-50	26	1	∑̀	∑̀	NOUN
ma-50	26	2	j=0	j=0	PROPN
ma-50	26	3	αjγ	αjγ	VERB
ma-50	26	4	jyn	jyn	NOUN
ma-50	26	5	,	,	PUNCT
ma-50	26	6	∑̀	∑̀	VERB
ma-50	26	7	j=0	j=0	PROPN
ma-50	26	8	αj	αj	X
ma-50	26	9	=	=	SYM
ma-50	26	10	1	1	NUM
ma-50	26	11	,	,	PUNCT
ma-50	26	12	n	n	PRON
ma-50	26	13	≥	≥	NOUN
ma-50	26	14	0	0	NUM
ma-50	26	15	.	.	PUNCT
ma-50	27	1	(	(	PUNCT
ma-50	27	2	1.1	1.1	NUM
ma-50	27	3	)	)	PUNCT
ma-50	27	4	the	the	DET
ma-50	27	5	iteration	iteration	NOUN
ma-50	27	6	method	method	NOUN
ma-50	27	7	defined	define	VERB
ma-50	27	8	by	by	ADP
ma-50	27	9	(	(	PUNCT
ma-50	27	10	1.1	1.1	NUM
ma-50	27	11	)	)	PUNCT
ma-50	27	12	is	be	AUX
ma-50	27	13	due	due	ADJ
ma-50	27	14	to	to	AUX
ma-50	27	15	kirk	kirk	PROPN
ma-50	27	16	[	[	X
ma-50	27	17	20	20	NUM
ma-50	27	18	]	]	PUNCT
ma-50	27	19	.	.	PUNCT
ma-50	28	1	(	(	PUNCT
ma-50	28	2	b	b	X
ma-50	28	3	)	)	PUNCT
ma-50	28	4	in	in	ADP
ma-50	28	5	[	[	X
ma-50	28	6	17	17	NUM
ma-50	28	7	]	]	PUNCT
ma-50	28	8	,	,	PUNCT
ma-50	28	9	olatinwo	olatinwo	PROPN
ma-50	28	10	presented	present	VERB
ma-50	28	11	the	the	DET
ma-50	28	12	algorithms	algorithms	NOUN
ma-50	28	13	below:(i	below:(i	NOUN
ma-50	28	14	)	)	PUNCT
ma-50	28	15	for	for	ADP
ma-50	28	16	an	an	DET
ma-50	28	17	arbitrary	arbitrary	ADJ
ma-50	28	18	point	point	NOUN
ma-50	28	19	y0	y0	NOUN
ma-50	28	20	∈	∈	NOUN
ma-50	28	21	x	x	X
ma-50	28	22	and	and	CCONJ
ma-50	28	23	for	for	ADP
ma-50	28	24	αn	αn	NOUN
ma-50	28	25	,	,	PUNCT
ma-50	28	26	t	t	PROPN
ma-50	28	27	≥	≥	NOUN
ma-50	28	28	0	0	NUM
ma-50	28	29	,	,	PUNCT
ma-50	28	30	αn,0	αn,0	PROPN
ma-50	28	31	6=	6=	NUM
ma-50	28	32	0	0	NUM
ma-50	28	33	,	,	PUNCT
ma-50	28	34	αn	αn	NOUN
ma-50	28	35	,	,	PUNCT
ma-50	28	36	t	t	PROPN
ma-50	28	37	∈	∈	PROPN
ma-50	29	1	[	[	X
ma-50	29	2	0	0	NUM
ma-50	29	3	,	,	PUNCT
ma-50	29	4	1	1	NUM
ma-50	29	5	]	]	PUNCT
ma-50	29	6	and	and	CCONJ
ma-50	29	7	`	`	PUNCT
ma-50	29	8	as	as	ADP
ma-50	29	9	a	a	DET
ma-50	29	10	fixedinteger	fixedinteger	NOUN
ma-50	29	11	,	,	PUNCT
ma-50	29	12	define	define	VERB
ma-50	29	13	the	the	DET
ma-50	29	14	sequence	sequence	NOUN
ma-50	29	15	{	{	PUNCT
ma-50	29	16	yn}∞n=0	yn}∞n=0	NUM
ma-50	29	17	by	by	ADP
ma-50	29	18	yn+1	yn+1	PROPN
ma-50	29	19	=	=	NOUN
ma-50	29	20	∑̀	∑̀	NOUN
ma-50	29	21	t=0	t=0	ADJ
ma-50	29	22	αn	αn	VERB
ma-50	29	23	,	,	PUNCT
ma-50	29	24	tγ	tγ	PROPN
ma-50	29	25	tyn	tyn	PROPN
ma-50	29	26	,	,	PUNCT
ma-50	29	27	∑̀	∑̀	VERB
ma-50	29	28	t=0	t=0	PROPN
ma-50	29	29	αn	αn	VERB
ma-50	29	30	,	,	PUNCT
ma-50	29	31	t	t	NOUN
ma-50	29	32	=	=	SYM
ma-50	29	33	1	1	NUM
ma-50	29	34	,	,	PUNCT
ma-50	29	35	n	n	PRON
ma-50	29	36	≥	≥	NOUN
ma-50	29	37	0	0	NUM
ma-50	29	38	(	(	PUNCT
ma-50	29	39	1.2	1.2	NUM
ma-50	29	40	)	)	PUNCT
ma-50	29	41	(	(	PUNCT
ma-50	29	42	i	i	PRON
ma-50	29	43	i	i	PROPN
ma-50	29	44	)	)	PUNCT
ma-50	29	45	for	for	ADP
ma-50	29	46	an	an	DET
ma-50	29	47	arbitrary	arbitrary	ADJ
ma-50	29	48	point	point	NOUN
ma-50	29	49	y0	y0	NOUN
ma-50	29	50	∈	∈	NOUN
ma-50	29	51	x	x	X
ma-50	29	52	and	and	CCONJ
ma-50	29	53	for	for	ADP
ma-50	29	54	`	`	PUNCT
ma-50	29	55	≥	≥	PROPN
ma-50	29	56	m	m	PROPN
ma-50	29	57	,	,	PUNCT
ma-50	29	58	αn	αn	PROPN
ma-50	29	59	,	,	PUNCT
ma-50	29	60	t	t	PROPN
ma-50	29	61	βn	βn	PROPN
ma-50	29	62	,	,	PUNCT
ma-50	29	63	t	t	PROPN
ma-50	29	64	≥	≥	NOUN
ma-50	29	65	0	0	NUM
ma-50	29	66	,	,	PUNCT
ma-50	29	67	αn,0	αn,0	PROPN
ma-50	29	68	,	,	PUNCT
ma-50	29	69	βn,0	βn,0	PROPN
ma-50	29	70	6=	6=	ADP
ma-50	29	71	0	0	NUM
ma-50	29	72	,	,	PUNCT
ma-50	29	73	αn	αn	NOUN
ma-50	29	74	,	,	PUNCT
ma-50	29	75	t	t	NOUN
ma-50	29	76	,	,	PUNCT
ma-50	29	77	βn	βn	NOUN
ma-50	29	78	,	,	PUNCT
ma-50	29	79	t	t	PROPN
ma-50	29	80	∈	∈	PROPN
ma-50	30	1	[	[	X
ma-50	30	2	0	0	NUM
ma-50	30	3	,	,	PUNCT
ma-50	30	4	1	1	NUM
ma-50	30	5	]	]	PUNCT
ma-50	30	6	and	and	CCONJ
ma-50	30	7	`	`	PUNCT
ma-50	30	8	,	,	PUNCT
ma-50	30	9	m	m	VERB
ma-50	30	10	as	as	ADP
ma-50	30	11	fixed	fix	VERB
ma-50	30	12	integers	integer	NOUN
ma-50	30	13	,	,	PUNCT
ma-50	30	14	define	define	VERB
ma-50	30	15	the	the	DET
ma-50	30	16	sequence	sequence	NOUN
ma-50	30	17	{	{	PUNCT
ma-50	30	18	yn}∞n=0	yn}∞n=0	NUM
ma-50	30	19	by	by	ADP
ma-50	30	20	yn+1	yn+1	PROPN
ma-50	30	21	=	=	NOUN
ma-50	30	22	αn,0yn	αn,0yn	NOUN
ma-50	30	23	+	+	CCONJ
ma-50	30	24	∑̀	∑̀	X
ma-50	30	25	t=0	t=0	PUNCT
ma-50	30	26	αn	αn	VERB
ma-50	30	27	,	,	PUNCT
ma-50	30	28	tγ	tγ	PROPN
ma-50	30	29	jzn	jzn	PROPN
ma-50	30	30	,	,	PUNCT
ma-50	30	31	∑̀	∑̀	VERB
ma-50	30	32	t=0	t=0	PROPN
ma-50	30	33	αn	αn	VERB
ma-50	30	34	,	,	PUNCT
ma-50	30	35	t	t	NOUN
ma-50	30	36	=	=	SYM
ma-50	30	37	1	1	NUM
ma-50	30	38	;	;	PUNCT
ma-50	30	39	zn	zn	PROPN
ma-50	30	40	=	=	SYM
ma-50	30	41	m∑	m∑	ADV
ma-50	30	42	t=0	t=0	PUNCT
ma-50	30	43	βn	βn	VERB
ma-50	30	44	,	,	PUNCT
ma-50	30	45	tγ	tγ	PROPN
ma-50	30	46	tyn	tyn	PROPN
ma-50	30	47	,	,	PUNCT
ma-50	30	48	∑̀	∑̀	VERB
ma-50	30	49	t=0	t=0	X
ma-50	30	50	βn	βn	PROPN
ma-50	30	51	,	,	PUNCT
ma-50	30	52	t	t	NOUN
ma-50	30	53	=	=	SYM
ma-50	30	54	1	1	NUM
ma-50	30	55	,	,	PUNCT
ma-50	30	56	n	n	PRON
ma-50	30	57	≥	≥	NOUN
ma-50	30	58	0	0	NUM
ma-50	30	59	,	,	PUNCT
ma-50	30	60	(	(	PUNCT
ma-50	30	61	1.3	1.3	NUM
ma-50	30	62	)	)	PUNCT
ma-50	30	63	and	and	CCONJ
ma-50	30	64	called	call	VERB
ma-50	30	65	them	they	PRON
ma-50	30	66	kirk	kirk	NOUN
ma-50	30	67	-	-	PUNCT
ma-50	30	68	mann	mann	PROPN
ma-50	30	69	and	and	CCONJ
ma-50	30	70	kirk	kirk	PROPN
ma-50	30	71	-	-	PUNCT
ma-50	30	72	ishikawa	ishikawa	PROPN
ma-50	30	73	algorithms	algorithm	NOUN
ma-50	30	74	,	,	PUNCT
ma-50	30	75	respectively	respectively	ADV
ma-50	30	76	.	.	PUNCT
ma-50	31	1	(	(	PUNCT
ma-50	31	2	c	c	X
ma-50	31	3	)	)	PUNCT
ma-50	31	4	chugh	chugh	NOUN
ma-50	31	5	and	and	CCONJ
ma-50	31	6	kumar	kumar	PROPN
ma-50	31	7	[	[	X
ma-50	31	8	25	25	NUM
ma-50	31	9	]	]	PUNCT
ma-50	31	10	presented	present	VERB
ma-50	31	11	the	the	DET
ma-50	31	12	following	following	ADJ
ma-50	31	13	iterative	iterative	NOUN
ma-50	31	14	scheme	scheme	NOUN
ma-50	31	15	:	:	PUNCT
ma-50	31	16	for	for	ADP
ma-50	31	17	an	an	DET
ma-50	31	18	arbitrary	arbitrary	ADJ
ma-50	31	19	point	point	NOUN
ma-50	31	20	y0	y0	NOUN
ma-50	31	21	∈	∈	NOUN
ma-50	31	22	x	x	X
ma-50	31	23	and	and	CCONJ
ma-50	31	24	for	for	ADP
ma-50	31	25	`	`	PUNCT
ma-50	31	26	≥	≥	NUM
ma-50	31	27	m	m	PROPN
ma-50	31	28	≥	≥	NOUN
ma-50	31	29	p	p	X
ma-50	31	30	,	,	PUNCT
ma-50	31	31	αn	αn	NOUN
ma-50	31	32	,	,	PUNCT
ma-50	31	33	s	s	PART
ma-50	31	34	,	,	PUNCT
ma-50	31	35	γn	γn	NUM
ma-50	31	36	,	,	PUNCT
ma-50	31	37	r	r	NOUN
ma-50	31	38	,	,	PUNCT
ma-50	31	39	βn	βn	NOUN
ma-50	31	40	,	,	PUNCT
ma-50	31	41	t	t	PROPN
ma-50	31	42	≥	≥	NOUN
ma-50	31	43	0	0	NUM
ma-50	31	44	,	,	PUNCT
ma-50	31	45	γn,0	γn,0	NOUN
ma-50	31	46	,	,	PUNCT
ma-50	31	47	αn,0	αn,0	PROPN
ma-50	31	48	,	,	PUNCT
ma-50	31	49	βn,0	βn,0	PROPN
ma-50	31	50	6=	6=	ADP
ma-50	31	51	0	0	NUM
ma-50	31	52	,	,	PUNCT
ma-50	31	53	αn	αn	NOUN
ma-50	31	54	,	,	PUNCT
ma-50	31	55	s	s	PART
ma-50	31	56	,	,	PUNCT
ma-50	31	57	γn	γn	NUM
ma-50	31	58	,	,	PUNCT
ma-50	31	59	r	r	NOUN
ma-50	31	60	,	,	PUNCT
ma-50	31	61	βn	βn	NOUN
ma-50	31	62	,	,	PUNCT
ma-50	31	63	t	t	PROPN
ma-50	31	64	∈	∈	PROPN
ma-50	32	1	[	[	X
ma-50	32	2	0	0	NUM
ma-50	32	3	,	,	PUNCT
ma-50	32	4	1	1	NUM
ma-50	32	5	]	]	PUNCT
ma-50	32	6	and	and	CCONJ
ma-50	32	7	`	`	PUNCT
ma-50	32	8	,	,	PUNCT
ma-50	32	9	m	m	PROPN
ma-50	32	10	,	,	PUNCT
ma-50	32	11	p	p	X
ma-50	32	12	as	as	ADP
ma-50	32	13	fixed	fix	VERB
ma-50	32	14	integers	integer	NOUN
ma-50	32	15	,	,	PUNCT
ma-50	32	16	define	define	VERB
ma-50	32	17	the	the	DET
ma-50	32	18	sequence	sequence	NOUN
ma-50	32	19	{	{	PUNCT
ma-50	32	20	yn}∞n=0	yn}∞n=0	NUM
ma-50	32	21	by	by	ADP
ma-50	32	22	yn+1	yn+1	PROPN
ma-50	32	23	=	=	PROPN
ma-50	32	24	γn,0yn	γn,0yn	PROPN
ma-50	32	25	+	+	CCONJ
ma-50	32	26	∑̀	∑̀	VERB
ma-50	32	27	r=1	r=1	NOUN
ma-50	32	28	γn	γn	ADP
ma-50	32	29	,	,	PUNCT
ma-50	32	30	rγ	rγ	NOUN
ma-50	32	31	rzn	rzn	NOUN
ma-50	32	32	,	,	PUNCT
ma-50	32	33	∑̀	∑̀	VERB
ma-50	32	34	r=0	r=0	VERB
ma-50	32	35	γn	γn	ADP
ma-50	32	36	,	,	PUNCT
ma-50	32	37	r	r	NOUN
ma-50	32	38	=	=	SYM
ma-50	32	39	1	1	NUM
ma-50	32	40	;	;	PUNCT
ma-50	33	1	zn	zn	NUM
ma-50	33	2	=	=	SYM
ma-50	33	3	αn,0yn	αn,0yn	NOUN
ma-50	33	4	+	+	CCONJ
ma-50	33	5	m∑	m∑	ADV
ma-50	33	6	s=1	s=1	NOUN
ma-50	33	7	αn	αn	VERB
ma-50	33	8	,	,	PUNCT
ma-50	33	9	sγ	sγ	PROPN
ma-50	33	10	szn	szn	PROPN
ma-50	33	11	,	,	PUNCT
ma-50	33	12	m∑	m∑	PRON
ma-50	33	13	s=0	s=0	PROPN
ma-50	33	14	αn	αn	VERB
ma-50	33	15	,	,	PUNCT
ma-50	33	16	s	s	PART
ma-50	33	17	=	=	SYM
ma-50	33	18	1	1	NUM
ma-50	33	19	;	;	PUNCT
ma-50	33	20	zn	zn	PROPN
ma-50	33	21	=	=	SYM
ma-50	33	22	p∑	p∑	PROPN
ma-50	33	23	t=0	t=0	PUNCT
ma-50	33	24	βn	βn	VERB
ma-50	33	25	,	,	PUNCT
ma-50	33	26	tγ	tγ	PROPN
ma-50	33	27	tyn	tyn	PROPN
ma-50	33	28	,	,	PUNCT
ma-50	33	29	p∑	p∑	PROPN
ma-50	33	30	t=0	t=0	PUNCT
ma-50	33	31	βn	βn	PROPN
ma-50	33	32	,	,	PUNCT
ma-50	33	33	t	t	NOUN
ma-50	33	34	=	=	SYM
ma-50	33	35	1	1	NUM
ma-50	33	36	,	,	PUNCT
ma-50	33	37	n	n	PRON
ma-50	33	38	≥	≥	NOUN
ma-50	33	39	0	0	NUM
ma-50	33	40	,	,	PUNCT
ma-50	33	41	(	(	PUNCT
ma-50	33	42	1.4	1.4	NUM
ma-50	33	43	)	)	PUNCT
ma-50	33	44	(	(	PUNCT
ma-50	33	45	d	d	X
ma-50	33	46	)	)	PUNCT
ma-50	33	47	very	very	ADV
ma-50	33	48	recently	recently	ADV
ma-50	33	49	,	,	PUNCT
ma-50	33	50	akewe	akewe	PROPN
ma-50	33	51	,	,	PUNCT
ma-50	33	52	okeke	okeke	ADJ
ma-50	33	53	and	and	CCONJ
ma-50	33	54	olayiwola	olayiwola	NOUN
ma-50	34	1	[	[	X
ma-50	34	2	26	26	NUM
ma-50	34	3	]	]	PUNCT
ma-50	34	4	presented	present	VERB
ma-50	34	5	the	the	DET
ma-50	34	6	following	follow	VERB
ma-50	34	7	general	general	ADJ
ma-50	34	8	iterativescheme	iterativescheme	NOUN
ma-50	34	9	in	in	ADP
ma-50	34	10	the	the	DET
ma-50	34	11	sense	sense	NOUN
ma-50	34	12	of	of	ADP
ma-50	34	13	kirk	kirk	PROPN
ma-50	35	1	[	[	X
ma-50	35	2	20	20	NUM
ma-50	35	3	]	]	NUM
ma-50	35	4	:	:	PUNCT
ma-50	35	5	(	(	PUNCT
ma-50	35	6	i	i	NOUN
ma-50	35	7	)	)	PUNCT
ma-50	35	8	for	for	ADP
ma-50	35	9	an	an	DET
ma-50	35	10	arbitrary	arbitrary	ADJ
ma-50	35	11	point	point	NOUN
ma-50	35	12	y0	y0	NOUN
ma-50	35	13	∈	∈	NOUN
ma-50	35	14	x	x	X
ma-50	35	15	,	,	PUNCT
ma-50	35	16	for	for	ADP
ma-50	35	17	`	`	PUNCT
ma-50	35	18	1	1	NUM
ma-50	35	19	≥	≥	NOUN
ma-50	35	20	`	`	PUNCT
ma-50	35	21	2	2	NUM
ma-50	35	22	≥	≥	NOUN
ma-50	35	23	`	`	PUNCT
ma-50	35	24	3	3	NUM
ma-50	35	25	≥	≥	NOUN
ma-50	35	26	·	·	PUNCT
ma-50	35	27	·	·	PUNCT
ma-50	35	28	·	·	PUNCT
ma-50	35	29	≥	≥	NUM
ma-50	35	30	`	`	PUNCT
ma-50	35	31	u	u	NOUN
ma-50	35	32	,	,	PUNCT
ma-50	35	33	for	for	ADP
ma-50	35	34	each	each	DET
ma-50	35	35	i	i	PRON
ma-50	35	36	,	,	PUNCT
ma-50	35	37	αtn	αtn	X
ma-50	35	38	,	,	PUNCT
ma-50	35	39	s	s	PART
ma-50	35	40	,	,	PUNCT
ma-50	35	41	γn	γn	PROPN
ma-50	35	42	,	,	PUNCT
ma-50	35	43	t	t	PROPN
ma-50	35	44	≥	≥	NOUN
ma-50	35	45	0	0	NUM
ma-50	35	46	,	,	PUNCT
ma-50	35	47	γn,0	γn,0	NOUN
ma-50	35	48	,	,	PUNCT
ma-50	35	49	αn,0	αn,0	PROPN
ma-50	35	50	,	,	PUNCT
ma-50	35	51	6=	6=	ADP
ma-50	35	52	0	0	NUM
ma-50	35	53	,	,	PUNCT
ma-50	35	54	for	for	ADP
ma-50	35	55	each	each	DET
ma-50	35	56	i	i	PRON
ma-50	35	57	,	,	PUNCT
ma-50	35	58	αin	αin	NOUN
ma-50	35	59	,	,	PUNCT
ma-50	35	60	s	s	X
ma-50	35	61	,	,	PUNCT
ma-50	35	62	γn	γn	PROPN
ma-50	35	63	,	,	PUNCT
ma-50	35	64	t	t	PROPN
ma-50	35	65	∈	∈	PROPN
ma-50	36	1	[	[	X
ma-50	36	2	0	0	NUM
ma-50	36	3	,	,	PUNCT
ma-50	36	4	1	1	NUM
ma-50	36	5	]	]	PUNCT
ma-50	36	6	and	and	CCONJ
ma-50	36	7	`	`	PUNCT
ma-50	36	8	1	1	NUM
ma-50	36	9	,	,	PUNCT
ma-50	36	10	`	`	PUNCT
ma-50	36	11	u	u	NOUN
ma-50	36	12	as	as	ADP
ma-50	36	13	fixed	fix	VERB
ma-50	36	14	integers	integer	NOUN
ma-50	36	15	for	for	ADP
ma-50	36	16	each	each	DET
ma-50	36	17	u	u	NOUN
ma-50	36	18	,	,	PUNCT
ma-50	36	19	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	36	20	eur	eur	NOUN
ma-50	36	21	.	.	PUNCT
ma-50	37	1	j.	j.	PROPN
ma-50	37	2	math	math	PROPN
ma-50	37	3	.	.	PUNCT
ma-50	38	1	anal	anal	PROPN
ma-50	38	2	.	.	PUNCT
ma-50	39	1	10.28924	10.28924	NUM
ma-50	39	2	/	/	SYM
ma-50	39	3	ada	ada	PROPN
ma-50	39	4	/	/	SYM
ma-50	39	5	ma.2.1	ma.2.1	PROPN
ma-50	39	6	3define	3define	NUM
ma-50	39	7	the	the	DET
ma-50	39	8	sequence	sequence	NOUN
ma-50	39	9	{	{	PUNCT
ma-50	39	10	yn}∞n=0	yn}∞n=0	NUM
ma-50	39	11	by	by	ADP
ma-50	39	12	yn+1	yn+1	PROPN
ma-50	39	13	=	=	PROPN
ma-50	39	14	γn,0yn	γn,0yn	PROPN
ma-50	40	1	+	+	CCONJ
ma-50	40	2	`	`	PUNCT
ma-50	40	3	1∑	1∑	NUM
ma-50	40	4	r=1	r=1	NOUN
ma-50	40	5	γn	γn	NUM
ma-50	40	6	,	,	PUNCT
ma-50	40	7	rγ	rγ	NOUN
ma-50	40	8	rz1n	rz1n	ADJ
ma-50	40	9	,	,	PUNCT
ma-50	40	10	`	`	PUNCT
ma-50	40	11	1∑	1∑	NUM
ma-50	40	12	k=0	k=0	PROPN
ma-50	40	13	αn	αn	VERB
ma-50	40	14	,	,	PUNCT
ma-50	40	15	r	r	NOUN
ma-50	40	16	=	=	SYM
ma-50	40	17	1	1	NUM
ma-50	40	18	;	;	PUNCT
ma-50	40	19	z	z	PROPN
ma-50	40	20	tn	tn	NOUN
ma-50	40	21	=	=	PUNCT
ma-50	40	22	αtn,0yn	αtn,0yn	PROPN
ma-50	40	23	+	+	CCONJ
ma-50	40	24	`	`	PUNCT
ma-50	40	25	t+1∑	t+1∑	PROPN
ma-50	40	26	s=1	s=1	PUNCT
ma-50	41	1	αtn	αtn	X
ma-50	41	2	,	,	PUNCT
ma-50	41	3	sγ	sγ	PROPN
ma-50	41	4	jz	jz	NOUN
ma-50	41	5	t+1n	t+1n	PROPN
ma-50	41	6	,	,	PUNCT
ma-50	41	7	`	`	PUNCT
ma-50	41	8	t+1∑	t+1∑	PROPN
ma-50	41	9	s=0	s=0	PROPN
ma-50	41	10	αtn	αtn	VERB
ma-50	41	11	,	,	PUNCT
ma-50	41	12	s	s	PART
ma-50	41	13	=	=	SYM
ma-50	41	14	1	1	NUM
ma-50	41	15	,	,	PUNCT
ma-50	41	16	t	t	NOUN
ma-50	41	17	=	=	SYM
ma-50	41	18	1	1	NUM
ma-50	41	19	,	,	PUNCT
ma-50	41	20	2	2	NUM
ma-50	41	21	,	,	PUNCT
ma-50	41	22	·	·	PUNCT
ma-50	41	23	·	·	PUNCT
ma-50	41	24	·	·	PUNCT
ma-50	41	25	,	,	PUNCT
ma-50	41	26	u	u	NOUN
ma-50	41	27	−	−	PROPN
ma-50	41	28	2	2	NUM
ma-50	41	29	;	;	PUNCT
ma-50	41	30	zu−1n	zu−1n	NUM
ma-50	41	31	=	=	SYM
ma-50	42	1	`	`	PUNCT
ma-50	42	2	u∑	u∑	ADJ
ma-50	42	3	s=0	s=0	SYM
ma-50	42	4	αu−1n	αu−1n	PROPN
ma-50	42	5	,	,	PUNCT
ma-50	42	6	t	t	PROPN
ma-50	42	7	γsyn	γsyn	NOUN
ma-50	42	8	,	,	PUNCT
ma-50	42	9	`	`	PUNCT
ma-50	42	10	u∑	u∑	PROPN
ma-50	42	11	s=0	s=0	X
ma-50	42	12	αu−1n	αu−1n	PROPN
ma-50	42	13	,	,	PUNCT
ma-50	42	14	t	t	PROPN
ma-50	42	15	=	=	SYM
ma-50	42	16	1	1	NUM
ma-50	42	17	,	,	PUNCT
ma-50	42	18	u	u	NOUN
ma-50	42	19	≥	≥	NOUN
ma-50	42	20	2	2	NUM
ma-50	42	21	,	,	PUNCT
ma-50	42	22	n	n	PRON
ma-50	42	23	≥	≥	NOUN
ma-50	42	24	0	0	NUM
ma-50	42	25	,	,	PUNCT
ma-50	42	26	(	(	PUNCT
ma-50	42	27	1.5	1.5	NUM
ma-50	42	28	)	)	PUNCT
ma-50	42	29	(	(	PUNCT
ma-50	42	30	i	i	PRON
ma-50	42	31	i	i	PROPN
ma-50	42	32	)	)	PUNCT
ma-50	42	33	for	for	ADP
ma-50	42	34	an	an	DET
ma-50	42	35	arbitrary	arbitrary	ADJ
ma-50	42	36	point	point	NOUN
ma-50	42	37	y0	y0	NOUN
ma-50	42	38	∈	∈	NOUN
ma-50	42	39	x	x	PUNCT
ma-50	42	40	,	,	PUNCT
ma-50	42	41	retaining	retain	VERB
ma-50	42	42	the	the	DET
ma-50	42	43	conditions	condition	NOUN
ma-50	42	44	in	in	ADP
ma-50	42	45	(	(	PUNCT
ma-50	42	46	i	i	NOUN
ma-50	42	47	)	)	PUNCT
ma-50	42	48	,	,	PUNCT
ma-50	42	49	define	define	VERB
ma-50	42	50	the	the	DET
ma-50	42	51	sequence	sequence	NOUN
ma-50	42	52	{	{	PUNCT
ma-50	42	53	yn}∞n=0	yn}∞n=0	NUM
ma-50	42	54	by	by	ADP
ma-50	42	55	yn+1	yn+1	PROPN
ma-50	42	56	=	=	SYM
ma-50	42	57	γn,0z	γn,0z	PROPN
ma-50	42	58	1	1	NUM
ma-50	42	59	n	n	NOUN
ma-50	42	60	+	+	CCONJ
ma-50	42	61	`	`	PUNCT
ma-50	42	62	1∑	1∑	NUM
ma-50	42	63	r=1	r=1	NOUN
ma-50	42	64	γn	γn	NUM
ma-50	42	65	,	,	PUNCT
ma-50	42	66	kγrz1n	kγrz1n	NOUN
ma-50	42	67	,	,	PUNCT
ma-50	42	68	`	`	PUNCT
ma-50	42	69	1∑	1∑	NUM
ma-50	42	70	r=0	r=0	PROPN
ma-50	42	71	αn	αn	NOUN
ma-50	42	72	,	,	PUNCT
ma-50	42	73	r	r	NOUN
ma-50	42	74	=	=	SYM
ma-50	42	75	1	1	NUM
ma-50	42	76	;	;	PUNCT
ma-50	42	77	z	z	NOUN
ma-50	42	78	tn	tn	NOUN
ma-50	43	1	=	=	PUNCT
ma-50	43	2	αtn,0z	αtn,0z	ADJ
ma-50	43	3	t+1	t+1	PROPN
ma-50	43	4	n	n	PROPN
ma-50	43	5	+	+	CCONJ
ma-50	43	6	`	`	PUNCT
ma-50	43	7	t+1∑	t+1∑	PROPN
ma-50	43	8	s=1	s=1	PUNCT
ma-50	44	1	αtn	αtn	VERB
ma-50	44	2	,	,	PUNCT
ma-50	44	3	sγ	sγ	PROPN
ma-50	44	4	sz	sz	NOUN
ma-50	44	5	t+1n	t+1n	X
ma-50	44	6	,	,	PUNCT
ma-50	44	7	`	`	PUNCT
ma-50	44	8	t+1∑	t+1∑	PROPN
ma-50	44	9	s=0	s=0	PROPN
ma-50	44	10	αtn	αtn	VERB
ma-50	44	11	,	,	PUNCT
ma-50	44	12	s	s	PART
ma-50	44	13	=	=	SYM
ma-50	44	14	1	1	NUM
ma-50	44	15	,	,	PUNCT
ma-50	44	16	t	t	NOUN
ma-50	44	17	=	=	SYM
ma-50	44	18	1	1	NUM
ma-50	44	19	,	,	PUNCT
ma-50	44	20	2	2	NUM
ma-50	44	21	,	,	PUNCT
ma-50	44	22	·	·	PUNCT
ma-50	44	23	·	·	PUNCT
ma-50	44	24	·	·	PUNCT
ma-50	44	25	,	,	PUNCT
ma-50	44	26	u	u	NOUN
ma-50	44	27	−	−	PROPN
ma-50	44	28	2	2	NUM
ma-50	44	29	;	;	PUNCT
ma-50	44	30	zu−1n	zu−1n	NUM
ma-50	44	31	=	=	SYM
ma-50	45	1	`	`	PUNCT
ma-50	45	2	u∑	u∑	ADJ
ma-50	45	3	s=0	s=0	SYM
ma-50	45	4	αu−1n	αu−1n	PROPN
ma-50	45	5	,	,	PUNCT
ma-50	45	6	t	t	PROPN
ma-50	45	7	γsyn	γsyn	NOUN
ma-50	45	8	,	,	PUNCT
ma-50	45	9	`	`	PUNCT
ma-50	45	10	u∑	u∑	PROPN
ma-50	45	11	s=0	s=0	X
ma-50	45	12	αu−1n	αu−1n	PROPN
ma-50	45	13	,	,	PUNCT
ma-50	45	14	t	t	PROPN
ma-50	45	15	=	=	SYM
ma-50	45	16	1	1	NUM
ma-50	45	17	,	,	PUNCT
ma-50	45	18	u	u	NOUN
ma-50	45	19	≥	≥	NOUN
ma-50	45	20	2	2	NUM
ma-50	45	21	,	,	PUNCT
ma-50	45	22	n	n	PRON
ma-50	45	23	≥	≥	NOUN
ma-50	45	24	0	0	NUM
ma-50	45	25	,	,	PUNCT
ma-50	45	26	(	(	PUNCT
ma-50	45	27	1.6	1.6	NUM
ma-50	45	28	)	)	PUNCT
ma-50	45	29	it	it	PRON
ma-50	45	30	is	be	AUX
ma-50	45	31	worthy	worthy	ADJ
ma-50	45	32	to	to	PART
ma-50	45	33	mention	mention	VERB
ma-50	45	34	that	that	SCONJ
ma-50	45	35	in	in	ADP
ma-50	45	36	application	application	NOUN
ma-50	45	37	,	,	PUNCT
ma-50	45	38	the	the	DET
ma-50	45	39	stability	stability	NOUN
ma-50	45	40	of	of	ADP
ma-50	45	41	the	the	DET
ma-50	45	42	iterative	iterative	NOUN
ma-50	45	43	schemes	scheme	NOUN
ma-50	45	44	studied	study	VERB
ma-50	45	45	aboveis	aboveis	PROPN
ma-50	45	46	quite	quite	ADV
ma-50	45	47	invaluable	invaluable	ADJ
ma-50	45	48	.	.	PUNCT
ma-50	46	1	the	the	DET
ma-50	46	2	first	first	ADJ
ma-50	46	3	researcher	researcher	NOUN
ma-50	46	4	to	to	PART
ma-50	46	5	demonstrate	demonstrate	VERB
ma-50	46	6	this	this	PRON
ma-50	46	7	respecting	respect	VERB
ma-50	46	8	the	the	DET
ma-50	46	9	banach	banach	NOUN
ma-50	46	10	contractionconditions	contractioncondition	NOUN
ma-50	46	11	is	be	AUX
ma-50	46	12	ostrowski	ostrowski	ADJ
ma-50	46	13	[	[	X
ma-50	46	14	13	13	NUM
ma-50	46	15	]	]	PUNCT
ma-50	46	16	.	.	PUNCT
ma-50	47	1	afterwards	afterwards	ADV
ma-50	47	2	,	,	PUNCT
ma-50	47	3	several	several	ADJ
ma-50	47	4	authors	author	NOUN
ma-50	47	5	have	have	AUX
ma-50	47	6	developed	develop	VERB
ma-50	47	7	this	this	DET
ma-50	47	8	subject	subject	ADJ
ma-50	47	9	basicallybecause	basicallybecause	NOUN
ma-50	47	10	of	of	ADP
ma-50	47	11	its	its	PRON
ma-50	47	12	indispensable	indispensable	ADJ
ma-50	47	13	position	position	NOUN
ma-50	47	14	in	in	ADP
ma-50	47	15	the	the	DET
ma-50	47	16	current	current	ADJ
ma-50	47	17	trend	trend	NOUN
ma-50	47	18	of	of	ADP
ma-50	47	19	computer	computer	NOUN
ma-50	47	20	programing	programing	NOUN
ma-50	47	21	.	.	PUNCT
ma-50	48	1	some	some	DET
ma-50	48	2	recentworks	recentwork	NOUN
ma-50	48	3	in	in	ADP
ma-50	48	4	this	this	DET
ma-50	48	5	direction	direction	NOUN
ma-50	48	6	could	could	AUX
ma-50	48	7	be	be	AUX
ma-50	48	8	seen	see	VERB
ma-50	48	9	in	in	ADP
ma-50	48	10	[	[	X
ma-50	48	11	1	1	NUM
ma-50	48	12	]	]	PUNCT
ma-50	48	13	,	,	PUNCT
ma-50	48	14	[	[	X
ma-50	48	15	2	2	NUM
ma-50	48	16	]	]	PUNCT
ma-50	48	17	,	,	PUNCT
ma-50	48	18	[	[	X
ma-50	48	19	3	3	NUM
ma-50	48	20	]	]	PUNCT
ma-50	48	21	,	,	PUNCT
ma-50	48	22	[	[	X
ma-50	48	23	4	4	NUM
ma-50	48	24	]	]	PUNCT
ma-50	48	25	,	,	PUNCT
ma-50	48	26	[	[	X
ma-50	48	27	12	12	NUM
ma-50	48	28	]	]	PUNCT
ma-50	48	29	,	,	PUNCT
ma-50	48	30	[	[	X
ma-50	48	31	13	13	NUM
ma-50	48	32	]	]	PUNCT
ma-50	48	33	,	,	PUNCT
ma-50	49	1	[	[	X
ma-50	49	2	14],[23	14],[23	PROPN
ma-50	49	3	]	]	X
ma-50	49	4	,	,	PUNCT
ma-50	50	1	[	[	X
ma-50	50	2	24	24	NUM
ma-50	50	3	]	]	PUNCT
ma-50	50	4	,	,	PUNCT
ma-50	50	5	[	[	X
ma-50	50	6	26	26	NUM
ma-50	50	7	]	]	PUNCT
ma-50	50	8	and	and	CCONJ
ma-50	50	9	the	the	DET
ma-50	50	10	references	reference	NOUN
ma-50	50	11	therein	therein	ADV
ma-50	50	12	.	.	PUNCT
ma-50	51	1	remark	remark	VERB
ma-50	51	2	1.1	1.1	NUM
ma-50	51	3	.	.	PUNCT
ma-50	52	1	the	the	DET
ma-50	52	2	stability	stability	NOUN
ma-50	52	3	and	and	CCONJ
ma-50	52	4	the	the	DET
ma-50	52	5	convergence	convergence	NOUN
ma-50	52	6	results	result	VERB
ma-50	52	7	in	in	ADP
ma-50	52	8	the	the	DET
ma-50	52	9	papers	paper	NOUN
ma-50	52	10	studied	study	VERB
ma-50	52	11	were	be	AUX
ma-50	52	12	made	make	VERB
ma-50	52	13	possible	possible	ADJ
ma-50	52	14	due	due	ADP
ma-50	52	15	to	to	ADP
ma-50	52	16	the	the	DET
ma-50	52	17	sum	sum	NOUN
ma-50	52	18	conditions	condition	NOUN
ma-50	52	19	imposed	impose	VERB
ma-50	52	20	on	on	ADP
ma-50	52	21	the	the	DET
ma-50	52	22	control	control	NOUN
ma-50	52	23	parameters	parameter	NOUN
ma-50	52	24	;	;	PUNCT
ma-50	52	25	see	see	VERB
ma-50	52	26	,	,	PUNCT
ma-50	52	27	for	for	ADP
ma-50	52	28	example	example	NOUN
ma-50	52	29	,	,	PUNCT
ma-50	52	30	[	[	X
ma-50	52	31	20	20	NUM
ma-50	52	32	]	]	PUNCT
ma-50	52	33	,	,	PUNCT
ma-50	52	34	[	[	X
ma-50	52	35	17	17	NUM
ma-50	52	36	]	]	PUNCT
ma-50	52	37	,	,	PUNCT
ma-50	52	38	[	[	X
ma-50	52	39	25	25	NUM
ma-50	52	40	]	]	PUNCT
ma-50	52	41	,	,	PUNCT
ma-50	52	42	[	[	X
ma-50	52	43	26	26	NUM
ma-50	52	44	]	]	PUNCT
ma-50	52	45	,	,	PUNCT
ma-50	52	46	etc	etc	X
ma-50	52	47	and	and	CCONJ
ma-50	52	48	the	the	DET
ma-50	52	49	references	reference	NOUN
ma-50	52	50	therein	therein	ADV
ma-50	52	51	.	.	PUNCT
ma-50	53	1	but	but	CCONJ
ma-50	53	2	in	in	ADP
ma-50	53	3	application	application	NOUN
ma-50	53	4	,	,	PUNCT
ma-50	53	5	especially	especially	ADV
ma-50	53	6	for	for	ADP
ma-50	53	7	n	n	CCONJ
ma-50	53	8	large	large	ADJ
ma-50	53	9	enough	enough	ADV
ma-50	53	10	,	,	PUNCT
ma-50	53	11	the	the	DET
ma-50	53	12	iterative	iterative	NOUN
ma-50	53	13	schemes	scheme	NOUN
ma-50	53	14	defined	define	VERB
ma-50	53	15	by	by	ADP
ma-50	53	16	(	(	PUNCT
ma-50	53	17	1.1	1.1	NUM
ma-50	53	18	)	)	PUNCT
ma-50	53	19	,	,	PUNCT
ma-50	53	20	(	(	PUNCT
ma-50	53	21	1.2	1.2	NUM
ma-50	53	22	)	)	PUNCT
ma-50	53	23	,	,	PUNCT
ma-50	53	24	(	(	PUNCT
ma-50	53	25	1.3	1.3	NUM
ma-50	53	26	)	)	PUNCT
ma-50	53	27	,	,	PUNCT
ma-50	53	28	(	(	PUNCT
ma-50	53	29	1.4	1.4	NUM
ma-50	53	30	)	)	PUNCT
ma-50	53	31	(	(	PUNCT
ma-50	53	32	1.5	1.5	NUM
ma-50	53	33	)	)	PUNCT
ma-50	53	34	and	and	CCONJ
ma-50	53	35	(	(	PUNCT
ma-50	53	36	1.6	1.6	NUM
ma-50	53	37	)	)	PUNCT
ma-50	53	38	become	become	VERB
ma-50	53	39	practically	practically	ADV
ma-50	53	40	inefficient	inefficient	ADJ
ma-50	53	41	due	due	ADP
ma-50	53	42	to	to	ADP
ma-50	53	43	the	the	DET
ma-50	53	44	difficulties	difficulty	NOUN
ma-50	53	45	involved	involve	VERB
ma-50	53	46	in	in	ADP
ma-50	53	47	generating	generate	VERB
ma-50	53	48	a	a	DET
ma-50	53	49	family	family	NOUN
ma-50	53	50	of	of	ADP
ma-50	53	51	such	such	ADJ
ma-50	53	52	control	control	NOUN
ma-50	53	53	parameters	parameter	NOUN
ma-50	53	54	,	,	PUNCT
ma-50	53	55	the	the	DET
ma-50	53	56	windy	windy	ADJ
ma-50	53	57	process	process	NOUN
ma-50	53	58	involved	involve	VERB
ma-50	53	59	for	for	ADP
ma-50	53	60	each	each	DET
ma-50	53	61	sum	sum	NOUN
ma-50	53	62	and	and	CCONJ
ma-50	53	63	the	the	DET
ma-50	53	64	computational	computational	ADJ
ma-50	53	65	cost	cost	NOUN
ma-50	53	66	.	.	PUNCT
ma-50	54	1	base	base	NOUN
ma-50	54	2	on	on	ADP
ma-50	54	3	the	the	DET
ma-50	54	4	problems	problem	NOUN
ma-50	54	5	mentioned	mention	VERB
ma-50	54	6	in	in	ADP
ma-50	54	7	remark	remark	NOUN
ma-50	54	8	1.1	1.1	NUM
ma-50	54	9	,	,	PUNCT
ma-50	54	10	it	it	PRON
ma-50	54	11	becomes	become	VERB
ma-50	54	12	necessary	necessary	ADJ
ma-50	54	13	to	to	PART
ma-50	54	14	ask	ask	VERB
ma-50	54	15	the	the	DET
ma-50	54	16	followingquestions	followingquestion	NOUN
ma-50	54	17	:	:	PUNCT
ma-50	54	18	question	question	NOUN
ma-50	54	19	1.1	1.1	NUM
ma-50	54	20	.	.	PUNCT
ma-50	55	1	is	be	AUX
ma-50	55	2	it	it	PRON
ma-50	55	3	possible	possible	ADJ
ma-50	55	4	to	to	PART
ma-50	55	5	construct	construct	VERB
ma-50	55	6	an	an	DET
ma-50	55	7	alternative	alternative	ADJ
ma-50	55	8	iterative	iterative	NOUN
ma-50	55	9	scheme	scheme	NOUN
ma-50	55	10	that	that	PRON
ma-50	55	11	would	would	AUX
ma-50	55	12	address	address	VERB
ma-50	55	13	the	the	DET
ma-50	55	14	problems	problem	NOUN
ma-50	55	15	generated	generate	VERB
ma-50	55	16	by	by	ADP
ma-50	55	17	the	the	DET
ma-50	55	18	sum	sum	NOUN
ma-50	55	19	conditions	condition	NOUN
ma-50	55	20	imposed	impose	VERB
ma-50	55	21	on	on	ADP
ma-50	55	22	the	the	DET
ma-50	55	23	control	control	NOUN
ma-50	55	24	parameters	parameter	NOUN
ma-50	55	25	while	while	SCONJ
ma-50	55	26	maintaining	maintain	VERB
ma-50	55	27	,	,	PUNCT
ma-50	55	28	in	in	ADP
ma-50	55	29	particular	particular	ADJ
ma-50	55	30	,	,	PUNCT
ma-50	55	31	the	the	DET
ma-50	55	32	results	result	NOUN
ma-50	55	33	in	in	ADP
ma-50	55	34	[	[	X
ma-50	55	35	26	26	NUM
ma-50	55	36	]	]	PUNCT
ma-50	55	37	,	,	PUNCT
ma-50	55	38	which	which	PRON
ma-50	55	39	in	in	ADP
ma-50	55	40	a	a	DET
ma-50	55	41	larger	large	ADJ
ma-50	55	42	sense	sense	NOUN
ma-50	55	43	contains	contain	VERB
ma-50	55	44	the	the	DET
ma-50	55	45	results	result	NOUN
ma-50	55	46	of	of	ADP
ma-50	55	47	the	the	DET
ma-50	55	48	other	other	ADJ
ma-50	55	49	papers	paper	NOUN
ma-50	55	50	studied	study	VERB
ma-50	55	51	?	?	PUNCT
ma-50	56	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	56	2	eur	eur	NOUN
ma-50	56	3	.	.	PUNCT
ma-50	57	1	j.	j.	PROPN
ma-50	57	2	math	math	PROPN
ma-50	57	3	.	.	PUNCT
ma-50	58	1	anal	anal	PROPN
ma-50	58	2	.	.	PUNCT
ma-50	59	1	10.28924	10.28924	NUM
ma-50	59	2	/	/	SYM
ma-50	59	3	ada	ada	PROPN
ma-50	59	4	/	/	SYM
ma-50	59	5	ma.2.1	ma.2.1	PROPN
ma-50	59	6	4following	4followe	VERB
ma-50	59	7	the	the	DET
ma-50	59	8	same	same	ADJ
ma-50	59	9	argument	argument	NOUN
ma-50	59	10	as	as	ADP
ma-50	59	11	in	in	ADP
ma-50	59	12	[	[	X
ma-50	59	13	27	27	NUM
ma-50	59	14	]	]	PUNCT
ma-50	59	15	regarding	regard	VERB
ma-50	59	16	the	the	DET
ma-50	59	17	linear	linear	ADJ
ma-50	59	18	combination	combination	NOUN
ma-50	59	19	of	of	ADP
ma-50	59	20	the	the	DET
ma-50	59	21	products	product	NOUN
ma-50	59	22	ofcountably	ofcountably	ADV
ma-50	59	23	finite	finite	VERB
ma-50	59	24	family	family	NOUN
ma-50	59	25	of	of	ADP
ma-50	59	26	control	control	NOUN
ma-50	59	27	parameters	parameter	NOUN
ma-50	59	28	and	and	CCONJ
ma-50	59	29	the	the	DET
ma-50	59	30	problems	problem	NOUN
ma-50	59	31	mentioned	mention	VERB
ma-50	59	32	in	in	ADP
ma-50	59	33	remark	remark	NOUN
ma-50	59	34	1.1	1.1	NUM
ma-50	59	35	,	,	PUNCT
ma-50	59	36	in	in	ADP
ma-50	59	37	thispaper	thispaper	NOUN
ma-50	59	38	,	,	PUNCT
ma-50	59	39	we	we	PRON
ma-50	59	40	provide	provide	VERB
ma-50	59	41	an	an	DET
ma-50	59	42	affirmative	affirmative	ADJ
ma-50	59	43	answer	answer	NOUN
ma-50	59	44	to	to	PART
ma-50	59	45	question	question	VERB
ma-50	59	46	1.1	1.1	NUM
ma-50	59	47	.	.	PUNCT
ma-50	60	1	2	2	NUM
ma-50	60	2	.	.	X
ma-50	60	3	preliminary	preliminary	ADJ
ma-50	60	4	throughout	throughout	ADP
ma-50	60	5	the	the	DET
ma-50	60	6	remaining	remain	VERB
ma-50	60	7	sections	section	NOUN
ma-50	60	8	,	,	PUNCT
ma-50	60	9	φ	φ	PROPN
ma-50	60	10	:	:	PUNCT
ma-50	60	11	r+	r+	VERB
ma-50	60	12	−→	−→	ADJ
ma-50	60	13	r+,r+,n	r+,r+,n	NOUN
ma-50	60	14	and	and	CCONJ
ma-50	60	15	h	h	NOUN
ma-50	60	16	will	will	AUX
ma-50	60	17	denote	denote	VERB
ma-50	60	18	monotone	monotone	ADJ
ma-50	60	19	in	in	ADP
ma-50	60	20	-	-	PUNCT
ma-50	60	21	creasing	crease	VERB
ma-50	60	22	subadditive	subadditive	ADJ
ma-50	60	23	function	function	NOUN
ma-50	60	24	,	,	PUNCT
ma-50	60	25	the	the	DET
ma-50	60	26	set	set	NOUN
ma-50	60	27	of	of	ADP
ma-50	60	28	positive	positive	ADJ
ma-50	60	29	integers	integer	NOUN
ma-50	60	30	,	,	PUNCT
ma-50	60	31	the	the	DET
ma-50	60	32	set	set	NOUN
ma-50	60	33	of	of	ADP
ma-50	60	34	natural	natural	ADJ
ma-50	60	35	numbers	number	NOUN
ma-50	60	36	and	and	CCONJ
ma-50	60	37	a	a	DET
ma-50	60	38	realhilbert	realhilbert	NOUN
ma-50	60	39	space	space	NOUN
ma-50	60	40	,	,	PUNCT
ma-50	60	41	respectively	respectively	ADV
ma-50	60	42	.	.	PUNCT
ma-50	61	1	also	also	ADV
ma-50	61	2	,	,	PUNCT
ma-50	61	3	the	the	DET
ma-50	61	4	following	follow	VERB
ma-50	61	5	definition	definition	NOUN
ma-50	61	6	,	,	PUNCT
ma-50	61	7	lemmas	lemmas	PROPN
ma-50	61	8	and	and	CCONJ
ma-50	61	9	propositions	proposition	NOUN
ma-50	61	10	will	will	AUX
ma-50	61	11	be	be	AUX
ma-50	61	12	neededestablish	neededestablish	ADJ
ma-50	61	13	our	our	PRON
ma-50	61	14	results	result	NOUN
ma-50	61	15	.	.	PUNCT
ma-50	62	1	definition	definition	NOUN
ma-50	62	2	2.1	2.1	NUM
ma-50	62	3	.	.	PUNCT
ma-50	63	1	(	(	PUNCT
ma-50	63	2	[	[	X
ma-50	63	3	13	13	NUM
ma-50	63	4	]	]	PUNCT
ma-50	63	5	)	)	PUNCT
ma-50	63	6	suppose	suppose	VERB
ma-50	63	7	y	y	PRON
ma-50	63	8	is	be	AUX
ma-50	63	9	a	a	DET
ma-50	63	10	metric	metric	ADJ
ma-50	63	11	space	space	NOUN
ma-50	63	12	and	and	CCONJ
ma-50	63	13	let	let	VERB
ma-50	63	14	γ	γ	X
ma-50	63	15	:	:	PUNCT
ma-50	63	16	y	y	PROPN
ma-50	63	17	−→	−→	NOUN
ma-50	63	18	y	y	PROPN
ma-50	63	19	be	be	AUX
ma-50	63	20	a	a	DET
ma-50	63	21	self	self	NOUN
ma-50	63	22	-	-	PUNCT
ma-50	63	23	map	map	NOUN
ma-50	63	24	of	of	ADP
ma-50	63	25	y	y	PROPN
ma-50	63	26	.	.	PUNCT
ma-50	64	1	let	let	VERB
ma-50	64	2	{	{	PUNCT
ma-50	64	3	xn}∞n=0	xn}∞n=0	NOUN
ma-50	65	1	⊆	⊆	NUM
ma-50	65	2	y	y	PROPN
ma-50	65	3	be	be	VERB
ma-50	65	4	a	a	DET
ma-50	65	5	sequence	sequence	NOUN
ma-50	65	6	generated	generate	VERB
ma-50	65	7	by	by	ADP
ma-50	65	8	an	an	DET
ma-50	65	9	iteration	iteration	NOUN
ma-50	65	10	scheme	scheme	NOUN
ma-50	65	11	xn+1	xn+1	PROPN
ma-50	65	12	=	=	SYM
ma-50	65	13	g(γ	g(γ	PROPN
ma-50	65	14	,	,	PUNCT
ma-50	65	15	xn	xn	PROPN
ma-50	65	16	)	)	PUNCT
ma-50	65	17	,	,	PUNCT
ma-50	65	18	(	(	PUNCT
ma-50	65	19	2.1	2.1	NUM
ma-50	65	20	)	)	PUNCT
ma-50	65	21	where	where	SCONJ
ma-50	65	22	x0	x0	PROPN
ma-50	65	23	∈	∈	PROPN
ma-50	65	24	y	y	PROPN
ma-50	65	25	is	be	AUX
ma-50	65	26	the	the	DET
ma-50	65	27	initial	initial	ADJ
ma-50	65	28	approximation	approximation	NOUN
ma-50	65	29	and	and	CCONJ
ma-50	65	30	g	g	NOUN
ma-50	65	31	is	be	AUX
ma-50	65	32	some	some	DET
ma-50	65	33	function	function	NOUN
ma-50	65	34	.	.	PUNCT
ma-50	66	1	suppeose	suppeose	NOUN
ma-50	66	2	{	{	PUNCT
ma-50	66	3	xn}∞n=0	xn}∞n=0	X
ma-50	66	4	converges	converge	VERB
ma-50	66	5	to	to	ADP
ma-50	66	6	a	a	DET
ma-50	66	7	fixed	fixed	ADJ
ma-50	66	8	point	point	NOUN
ma-50	66	9	q	q	PROPN
ma-50	66	10	of	of	ADP
ma-50	66	11	γ	γ	PROPN
ma-50	66	12	.	.	PUNCT
ma-50	67	1	let	let	VERB
ma-50	67	2	{	{	PUNCT
ma-50	67	3	tn}∞n=0	tn}∞n=0	NUM
ma-50	67	4	⊆	⊆	NUM
ma-50	67	5	y	y	NOUN
ma-50	67	6	be	be	AUX
ma-50	67	7	an	an	DET
ma-50	67	8	arbitrary	arbitrary	ADJ
ma-50	67	9	sequence	sequence	NOUN
ma-50	67	10	and	and	CCONJ
ma-50	67	11	set	set	VERB
ma-50	67	12	εn	εn	ADJ
ma-50	67	13	=	=	SYM
ma-50	67	14	d(tn	d(tn	PROPN
ma-50	67	15	,	,	PUNCT
ma-50	67	16	g(γ	g(γ	PROPN
ma-50	67	17	,	,	PUNCT
ma-50	67	18	tn	tn	PROPN
ma-50	67	19	)	)	PUNCT
ma-50	67	20	)	)	PUNCT
ma-50	67	21	,	,	PUNCT
ma-50	67	22	n	n	NOUN
ma-50	67	23	=	=	SYM
ma-50	67	24	1	1	NUM
ma-50	67	25	,	,	PUNCT
ma-50	67	26	2	2	NUM
ma-50	67	27	,	,	PUNCT
ma-50	67	28	·	·	PUNCT
ma-50	67	29	·	·	PUNCT
ma-50	67	30	·	·	PUNCT
ma-50	68	1	then	then	ADV
ma-50	68	2	,	,	PUNCT
ma-50	68	3	(	(	PUNCT
ma-50	68	4	2.1	2.1	NUM
ma-50	68	5	)	)	PUNCT
ma-50	68	6	is	be	AUX
ma-50	68	7	said	say	VERB
ma-50	68	8	to	to	PART
ma-50	68	9	be	be	AUX
ma-50	68	10	γ	γ	X
ma-50	68	11	-	-	ADJ
ma-50	68	12	stable	stable	ADJ
ma-50	68	13	if	if	SCONJ
ma-50	68	14	and	and	CCONJ
ma-50	68	15	only	only	ADV
ma-50	68	16	if	if	SCONJ
ma-50	68	17	limn→∞	limn→∞	PROPN
ma-50	68	18	εn	εn	ADJ
ma-50	68	19	=	=	SYM
ma-50	68	20	0	0	NUM
ma-50	68	21	implies	imply	VERB
ma-50	68	22	limn→∞	limn→∞	PROPN
ma-50	68	23	yn	yn	X
ma-50	68	24	=	=	PUNCT
ma-50	68	25	q.	q.	PROPN
ma-50	68	26	note	note	VERB
ma-50	68	27	that	that	SCONJ
ma-50	68	28	in	in	ADP
ma-50	68	29	practice	practice	NOUN
ma-50	68	30	,	,	PUNCT
ma-50	68	31	the	the	DET
ma-50	68	32	sequence	sequence	NOUN
ma-50	68	33	{	{	PUNCT
ma-50	68	34	tn}∞n=0	tn}∞n=0	X
ma-50	68	35	could	could	AUX
ma-50	68	36	be	be	AUX
ma-50	68	37	obtained	obtain	VERB
ma-50	68	38	using	use	VERB
ma-50	68	39	the	the	DET
ma-50	68	40	following	follow	VERB
ma-50	68	41	approach	approach	NOUN
ma-50	68	42	:	:	PUNCT
ma-50	68	43	let	let	VERB
ma-50	68	44	x0	x0	PROPN
ma-50	68	45	∈	∈	PROPN
ma-50	68	46	y	y	PROPN
ma-50	68	47	.	.	PUNCT
ma-50	69	1	set	set	VERB
ma-50	69	2	xn+1	xn+1	PROPN
ma-50	69	3	=	=	SYM
ma-50	69	4	g(γ	g(γ	PROPN
ma-50	69	5	,	,	PUNCT
ma-50	69	6	xn	xn	PUNCT
ma-50	69	7	)	)	PUNCT
ma-50	69	8	and	and	CCONJ
ma-50	69	9	let	let	VERB
ma-50	69	10	t0	t0	PROPN
ma-50	69	11	=	=	PUNCT
ma-50	69	12	x0	x0	PROPN
ma-50	69	13	.	.	PUNCT
ma-50	70	1	since	since	SCONJ
ma-50	70	2	,	,	PUNCT
ma-50	70	3	x1	x1	PROPN
ma-50	70	4	=	=	PUNCT
ma-50	70	5	g(γ	g(γ	PROPN
ma-50	70	6	,	,	PUNCT
ma-50	70	7	x0	x0	PROPN
ma-50	70	8	)	)	PUNCT
ma-50	70	9	following	follow	VERB
ma-50	70	10	the	the	DET
ma-50	70	11	rounding	round	VERB
ma-50	70	12	in	in	ADP
ma-50	70	13	thefunction	thefunction	PROPN
ma-50	70	14	γ	γ	PROPN
ma-50	70	15	,	,	PUNCT
ma-50	70	16	the	the	DET
ma-50	70	17	value	value	NOUN
ma-50	70	18	t1	t1	NOUN
ma-50	70	19	(	(	PUNCT
ma-50	70	20	which	which	PRON
ma-50	70	21	is	be	AUX
ma-50	70	22	estimated	estimate	VERB
ma-50	70	23	to	to	PART
ma-50	70	24	be	be	AUX
ma-50	70	25	equal	equal	ADJ
ma-50	70	26	to	to	ADP
ma-50	70	27	x1	x1	NUM
ma-50	70	28	)	)	PUNCT
ma-50	70	29	could	could	AUX
ma-50	70	30	be	be	AUX
ma-50	70	31	calculated	calculate	VERB
ma-50	70	32	to	to	PART
ma-50	70	33	give	give	VERB
ma-50	70	34	t2	t2	NOUN
ma-50	70	35	,	,	PUNCT
ma-50	70	36	anapproximate	anapproximate	ADJ
ma-50	70	37	value	value	NOUN
ma-50	70	38	of	of	ADP
ma-50	70	39	g(γ	g(γ	PROPN
ma-50	70	40	,	,	PUNCT
ma-50	70	41	t1	t1	NOUN
ma-50	70	42	)	)	PUNCT
ma-50	70	43	.	.	PUNCT
ma-50	71	1	the	the	DET
ma-50	71	2	procedure	procedure	NOUN
ma-50	71	3	is	be	AUX
ma-50	71	4	continued	continue	VERB
ma-50	71	5	to	to	PART
ma-50	71	6	yield	yield	VERB
ma-50	71	7	the	the	DET
ma-50	71	8	sequence	sequence	NOUN
ma-50	71	9	{	{	PUNCT
ma-50	71	10	tn}∞n=0	tn}∞n=0	NUM
ma-50	71	11	,	,	PUNCT
ma-50	71	12	which	which	PRON
ma-50	71	13	isapproximately	isapproximately	ADV
ma-50	71	14	tha	tha	ADV
ma-50	71	15	same	same	ADJ
ma-50	71	16	as	as	ADP
ma-50	71	17	the	the	DET
ma-50	71	18	sequence	sequence	NOUN
ma-50	71	19	{	{	PUNCT
ma-50	71	20	xn}∞n=0	xn}∞n=0	PROPN
ma-50	71	21	.	.	PUNCT
ma-50	72	1	lemma	lemma	PROPN
ma-50	72	2	2.1	2.1	NUM
ma-50	72	3	.	.	PUNCT
ma-50	73	1	(	(	PUNCT
ma-50	73	2	see	see	VERB
ma-50	73	3	,	,	PUNCT
ma-50	73	4	e.g.	e.g.	ADV
ma-50	73	5	,	,	PUNCT
ma-50	73	6	[	[	X
ma-50	73	7	26	26	NUM
ma-50	73	8	]	]	PUNCT
ma-50	73	9	)	)	PUNCT
ma-50	73	10	let	let	VERB
ma-50	73	11	{	{	PUNCT
ma-50	73	12	τn}∞n=0	τn}∞n=0	X
ma-50	73	13	∈	∈	PROPN
ma-50	73	14	r+	r+	NOUN
ma-50	73	15	:	:	PUNCT
ma-50	73	16	τn	τn	X
ma-50	73	17	→	→	SYM
ma-50	73	18	0	0	PROPN
ma-50	73	19	as	as	ADP
ma-50	73	20	n	n	X
ma-50	73	21	→∞.	→∞.	X
ma-50	73	22	for	for	ADP
ma-50	73	23	0	0	NUM
ma-50	73	24	≤	≤	NUM
ma-50	73	25	δ	δ	PROPN
ma-50	73	26	<	<	X
ma-50	73	27	1	1	NUM
ma-50	73	28	,	,	PUNCT
ma-50	73	29	let	let	VERB
ma-50	73	30	{	{	PUNCT
ma-50	73	31	wn}∞n=0	wn}∞n=0	VERB
ma-50	73	32	be	be	AUX
ma-50	73	33	a	a	DET
ma-50	73	34	sequence	sequence	NOUN
ma-50	73	35	of	of	ADP
ma-50	73	36	positive	positive	ADJ
ma-50	73	37	numbers	number	NOUN
ma-50	73	38	satisfying	satisfy	VERB
ma-50	73	39	wn+1	wn+1	VERB
ma-50	73	40	≤	≤	NUM
ma-50	73	41	δwn+τn	δwn+τn	PROPN
ma-50	73	42	,	,	PUNCT
ma-50	73	43	n	n	NOUN
ma-50	73	44	=	=	SYM
ma-50	73	45	0	0	NUM
ma-50	73	46	,	,	PUNCT
ma-50	73	47	1	1	NUM
ma-50	73	48	,	,	PUNCT
ma-50	73	49	2	2	NUM
ma-50	73	50	,	,	PUNCT
ma-50	73	51	·	·	PUNCT
ma-50	73	52	·	·	PUNCT
ma-50	73	53	·	·	PUNCT
ma-50	74	1	then	then	ADV
ma-50	74	2	,	,	PUNCT
ma-50	74	3	wn	wn	PROPN
ma-50	74	4	→	→	SYM
ma-50	74	5	0	0	PROPN
ma-50	74	6	as	as	ADP
ma-50	74	7	n	n	PROPN
ma-50	74	8	→∞.	→∞.	X
ma-50	74	9	lemma	lemma	PROPN
ma-50	74	10	2.2	2.2	NUM
ma-50	74	11	.	.	PUNCT
ma-50	75	1	(	(	PUNCT
ma-50	75	2	see	see	VERB
ma-50	75	3	,	,	PUNCT
ma-50	75	4	e.g.	e.g.	ADV
ma-50	75	5	,	,	PUNCT
ma-50	75	6	[	[	X
ma-50	75	7	17	17	NUM
ma-50	75	8	]	]	PUNCT
ma-50	75	9	)	)	PUNCT
ma-50	75	10	let	let	VERB
ma-50	75	11	(	(	PUNCT
ma-50	75	12	y	y	PROPN
ma-50	75	13	,	,	PUNCT
ma-50	75	14	‖	‖	PROPN
ma-50	75	15	.‖	.‖	PROPN
ma-50	75	16	)	)	PUNCT
ma-50	75	17	be	be	VERB
ma-50	75	18	a	a	DET
ma-50	75	19	normed	normed	ADJ
ma-50	75	20	space	space	NOUN
ma-50	75	21	,	,	PUNCT
ma-50	75	22	the	the	DET
ma-50	75	23	self	self	NOUN
ma-50	75	24	-	-	PUNCT
ma-50	75	25	map	map	NOUN
ma-50	75	26	γ	γ	X
ma-50	75	27	:	:	PUNCT
ma-50	75	28	y	y	PROPN
ma-50	75	29	−→	−→	NOUN
ma-50	75	30	y	y	PROPN
ma-50	75	31	satisfies	satisfie	NOUN
ma-50	75	32	(	(	PUNCT
ma-50	75	33	1.13	1.13	NUM
ma-50	75	34	)	)	PUNCT
ma-50	75	35	and	and	CCONJ
ma-50	75	36	φ	φ	NUM
ma-50	75	37	:	:	PUNCT
ma-50	75	38	r+	r+	VERB
ma-50	75	39	−→	−→	ADJ
ma-50	75	40	r+	r+	PUNCT
ma-50	75	41	(	(	PUNCT
ma-50	75	42	retaining	retain	VERB
ma-50	75	43	its	its	PRON
ma-50	75	44	usual	usual	ADJ
ma-50	75	45	meaning	meaning	NOUN
ma-50	75	46	)	)	PUNCT
ma-50	75	47	be	be	AUX
ma-50	75	48	such	such	ADJ
ma-50	75	49	that	that	PRON
ma-50	75	50	ψ(0	ψ(0	NOUN
ma-50	75	51	)	)	PUNCT
ma-50	75	52	=	=	SYM
ma-50	75	53	0	0	NUM
ma-50	75	54	,	,	PUNCT
ma-50	75	55	φ(mt	φ(mt	X
ma-50	75	56	)	)	PUNCT
ma-50	75	57	=	=	SYM
ma-50	75	58	mφ(t),m	mφ(t),m	NOUN
ma-50	75	59	≥	≥	NUM
ma-50	75	60	0	0	NUM
ma-50	75	61	,	,	PUNCT
ma-50	75	62	t	t	PROPN
ma-50	75	63	∈	∈	PROPN
ma-50	75	64	r+	r+	X
ma-50	75	65	.	.	PUNCT
ma-50	76	1	then	then	ADV
ma-50	76	2	,	,	PUNCT
ma-50	76	3	∀i	∀i	X
ma-50	76	4	∈	∈	NOUN
ma-50	76	5	n	n	NOUN
ma-50	76	6	and	and	CCONJ
ma-50	76	7	∀s	∀s	PROPN
ma-50	76	8	,	,	PUNCT
ma-50	76	9	t	t	PROPN
ma-50	76	10	∈	∈	PROPN
ma-50	76	11	y	y	PROPN
ma-50	76	12	,	,	PUNCT
ma-50	76	13	we	we	PRON
ma-50	76	14	have	have	VERB
ma-50	76	15	‖γjs	‖γjs	PROPN
ma-50	76	16	−	−	PROPN
ma-50	76	17	γj	γj	ADP
ma-50	76	18	t‖	t‖	PROPN
ma-50	76	19	≤	≤	NOUN
ma-50	77	1	ρj‖s	ρj‖s	PROPN
ma-50	77	2	−	−	NOUN
ma-50	77	3	t‖+	t‖+	NOUN
ma-50	77	4	j∑	j∑	PROPN
ma-50	77	5	i=0	i=0	PROPN
ma-50	78	1	(	(	PUNCT
ma-50	78	2	j	j	NOUN
ma-50	78	3	i	i	PROPN
ma-50	78	4	)	)	PUNCT
ma-50	78	5	ρj−1φ(‖s	ρj−1φ(‖s	NOUN
ma-50	78	6	−	−	NOUN
ma-50	79	1	γs‖	γs‖	PROPN
ma-50	79	2	)	)	PUNCT
ma-50	79	3	.	.	PUNCT
ma-50	80	1	(	(	PUNCT
ma-50	80	2	2.2	2.2	NUM
ma-50	80	3	)	)	PUNCT
ma-50	80	4	proposition	proposition	NOUN
ma-50	80	5	2.3	2.3	NUM
ma-50	80	6	.	.	PUNCT
ma-50	81	1	(	(	PUNCT
ma-50	81	2	see	see	VERB
ma-50	81	3	,	,	PUNCT
ma-50	81	4	e.g.	e.g.	ADV
ma-50	81	5	,	,	PUNCT
ma-50	81	6	[	[	X
ma-50	81	7	27	27	NUM
ma-50	81	8	]	]	PUNCT
ma-50	81	9	)	)	PUNCT
ma-50	81	10	let	let	VERB
ma-50	81	11	{	{	PUNCT
ma-50	81	12	αi}∞i=1	αi}∞i=1	NOUN
ma-50	81	13	⊆	⊆	NUM
ma-50	81	14	n	n	CCONJ
ma-50	81	15	,	,	PUNCT
ma-50	81	16	where	where	SCONJ
ma-50	81	17	k	k	PROPN
ma-50	81	18	∈	∈	PROPN
ma-50	81	19	[	[	X
ma-50	81	20	0,r+	0,r+	NOUN
ma-50	81	21	]	]	PUNCT
ma-50	81	22	is	be	AUX
ma-50	81	23	fixed	fix	VERB
ma-50	81	24	and	and	CCONJ
ma-50	81	25	n	n	PRON
ma-50	81	26	∈	∈	NOUN
ma-50	81	27	n	n	VERB
ma-50	81	28	is	be	AUX
ma-50	81	29	any	any	DET
ma-50	81	30	integer	integer	NOUN
ma-50	81	31	with	with	ADP
ma-50	81	32	k	k	PROPN
ma-50	81	33	+	+	CCONJ
ma-50	81	34	1	1	NUM
ma-50	81	35	≤	≤	NOUN
ma-50	81	36	n.	n.	NOUN
ma-50	81	37	then	then	ADV
ma-50	81	38	,	,	PUNCT
ma-50	81	39	the	the	DET
ma-50	81	40	following	follow	VERB
ma-50	81	41	holds	hold	VERB
ma-50	81	42	:	:	PUNCT
ma-50	82	1	αk	αk	ADP
ma-50	83	1	+	+	CCONJ
ma-50	83	2	n∑	n∑	NOUN
ma-50	83	3	i	i	PRON
ma-50	83	4	=	=	VERB
ma-50	83	5	k+1	k+1	X
ma-50	83	6	αi	αi	VERB
ma-50	83	7	i−1∏	i−1∏	PROPN
ma-50	83	8	j	j	PROPN
ma-50	84	1	=	=	PROPN
ma-50	84	2	k	k	PROPN
ma-50	84	3	(	(	PUNCT
ma-50	84	4	1−	1−	NUM
ma-50	84	5	αj	αj	NOUN
ma-50	84	6	)	)	PUNCT
ma-50	84	7	+	+	PROPN
ma-50	84	8	n∏	n∏	PROPN
ma-50	84	9	j	j	PROPN
ma-50	85	1	=	=	PROPN
ma-50	85	2	k	k	PROPN
ma-50	85	3	(	(	PUNCT
ma-50	85	4	1−	1−	NUM
ma-50	85	5	αj	αj	NOUN
ma-50	85	6	)	)	PUNCT
ma-50	85	7	=	=	SYM
ma-50	85	8	1	1	X
ma-50	85	9	.	.	PUNCT
ma-50	85	10	(	(	PUNCT
ma-50	85	11	2.3	2.3	NUM
ma-50	85	12	)	)	PUNCT
ma-50	85	13	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	85	14	eur	eur	NOUN
ma-50	85	15	.	.	PUNCT
ma-50	86	1	j.	j.	PROPN
ma-50	86	2	math	math	PROPN
ma-50	86	3	.	.	PUNCT
ma-50	87	1	anal	anal	PROPN
ma-50	87	2	.	.	PUNCT
ma-50	88	1	10.28924	10.28924	NUM
ma-50	88	2	/	/	SYM
ma-50	88	3	ada	ada	PROPN
ma-50	88	4	/	/	SYM
ma-50	88	5	ma.2.1	ma.2.1	PROPN
ma-50	88	6	5	5	NUM
ma-50	88	7	proposition	proposition	NOUN
ma-50	88	8	2.4	2.4	NUM
ma-50	88	9	.	.	PUNCT
ma-50	89	1	(	(	PUNCT
ma-50	89	2	see	see	VERB
ma-50	89	3	,	,	PUNCT
ma-50	89	4	e.g.	e.g.	ADV
ma-50	89	5	,	,	PUNCT
ma-50	89	6	[	[	X
ma-50	89	7	27	27	NUM
ma-50	89	8	]	]	PUNCT
ma-50	89	9	)	)	PUNCT
ma-50	89	10	let	let	VERB
ma-50	89	11	t	t	PROPN
ma-50	89	12	,	,	PUNCT
ma-50	89	13	u	u	NOUN
ma-50	89	14	,	,	PUNCT
ma-50	89	15	v	v	PROPN
ma-50	89	16	∈	∈	PROPN
ma-50	89	17	h.	h.	NOUN
ma-50	89	18	let	let	VERB
ma-50	89	19	k	k	PROPN
ma-50	89	20	∈	∈	PROPN
ma-50	89	21	[	[	X
ma-50	89	22	0,r+	0,r+	NOUN
ma-50	89	23	]	]	PUNCT
ma-50	89	24	be	be	AUX
ma-50	89	25	fixed	fix	VERB
ma-50	89	26	and	and	CCONJ
ma-50	89	27	n	n	PRON
ma-50	89	28	∈	∈	PROPN
ma-50	89	29	n	n	AUX
ma-50	89	30	be	be	AUX
ma-50	89	31	such	such	ADJ
ma-50	89	32	that	that	SCONJ
ma-50	89	33	k	k	PROPN
ma-50	89	34	+	+	CCONJ
ma-50	89	35	1	1	NUM
ma-50	89	36	≤	≤	NOUN
ma-50	89	37	n.	n.	NOUN
ma-50	89	38	let	let	VERB
ma-50	89	39	{	{	PUNCT
ma-50	89	40	vi}n−1i=1	vi}n−1i=1	ADV
ma-50	89	41	⊆	⊆	NUM
ma-50	89	42	h	h	NOUN
ma-50	89	43	and	and	CCONJ
ma-50	89	44	{	{	PUNCT
ma-50	89	45	αi}ni=1	αi}ni=1	PROPN
ma-50	90	1	⊆	⊆	NUM
ma-50	90	2	[	[	X
ma-50	90	3	0	0	NUM
ma-50	90	4	,	,	PUNCT
ma-50	90	5	1	1	NUM
ma-50	90	6	]	]	PUNCT
ma-50	90	7	.	.	PUNCT
ma-50	91	1	define	define	VERB
ma-50	91	2	y	y	PROPN
ma-50	91	3	=	=	PUNCT
ma-50	91	4	αkt	αkt	NOUN
ma-50	92	1	+	+	CCONJ
ma-50	92	2	n∑	n∑	ADJ
ma-50	92	3	i	i	PRON
ma-50	92	4	=	=	VERB
ma-50	92	5	k+1	k+1	X
ma-50	92	6	αi	αi	VERB
ma-50	92	7	i−1∏	i−1∏	PROPN
ma-50	92	8	j	j	PROPN
ma-50	93	1	=	=	PROPN
ma-50	93	2	k	k	PROPN
ma-50	93	3	(	(	PUNCT
ma-50	93	4	1−	1−	NUM
ma-50	93	5	αj)vi−1	αj)vi−1	NUM
ma-50	93	6	+	+	PROPN
ma-50	93	7	n∏	n∏	PROPN
ma-50	93	8	j	j	PROPN
ma-50	93	9	=	=	PROPN
ma-50	93	10	k	k	PROPN
ma-50	93	11	(	(	PUNCT
ma-50	93	12	1−	1−	NUM
ma-50	93	13	αj)v	αj)v	PROPN
ma-50	93	14	.	.	PUNCT
ma-50	94	1	then	then	ADV
ma-50	94	2	,	,	PUNCT
ma-50	94	3	‖y	‖y	PUNCT
ma-50	94	4	−	−	PROPN
ma-50	94	5	u‖2	u‖2	PRON
ma-50	95	1	=	=	PUNCT
ma-50	95	2	αk‖t	αk‖t	PROPN
ma-50	96	1	−	−	VERB
ma-50	97	1	u‖2	u‖2	PROPN
ma-50	98	1	+	+	CCONJ
ma-50	98	2	n∑	n∑	NOUN
ma-50	98	3	i	i	PRON
ma-50	98	4	=	=	VERB
ma-50	98	5	k+1	k+1	X
ma-50	98	6	αi	αi	VERB
ma-50	98	7	i−1∏	i−1∏	PROPN
ma-50	98	8	j	j	PROPN
ma-50	99	1	=	=	PROPN
ma-50	99	2	k	k	PROPN
ma-50	99	3	(	(	PUNCT
ma-50	99	4	1−	1−	NUM
ma-50	99	5	αj)‖vi−1	αj)‖vi−1	PROPN
ma-50	99	6	−	−	PROPN
ma-50	99	7	u‖2	u‖2	PROPN
ma-50	99	8	+	+	PROPN
ma-50	99	9	n∏	n∏	PROPN
ma-50	99	10	j	j	PROPN
ma-50	99	11	=	=	PROPN
ma-50	99	12	k	k	PROPN
ma-50	99	13	(	(	PUNCT
ma-50	99	14	1−	1−	NUM
ma-50	99	15	αj)‖v	αj)‖v	ADV
ma-50	99	16	−	−	PROPN
ma-50	99	17	u‖2	u‖2	PROPN
ma-50	99	18	−αk	−αk	PROPN
ma-50	99	19	[	[	PUNCT
ma-50	99	20	n∑	n∑	NOUN
ma-50	99	21	i	i	PROPN
ma-50	99	22	=	=	VERB
ma-50	99	23	k+1	k+1	X
ma-50	99	24	αi	αi	VERB
ma-50	99	25	i−1∏	i−1∏	PROPN
ma-50	99	26	j	j	PROPN
ma-50	99	27	=	=	PROPN
ma-50	99	28	k	k	PROPN
ma-50	99	29	(	(	PUNCT
ma-50	99	30	1−	1−	NUM
ma-50	99	31	αj)‖t	αj)‖t	NOUN
ma-50	99	32	−	−	NOUN
ma-50	99	33	vi−1‖2	vi−1‖2	NOUN
ma-50	99	34	+	+	CCONJ
ma-50	99	35	i−1∏	i−1∏	PROPN
ma-50	99	36	j	j	PROPN
ma-50	99	37	=	=	PROPN
ma-50	99	38	k	k	PROPN
ma-50	99	39	(	(	PUNCT
ma-50	99	40	1−	1−	NUM
ma-50	99	41	αj)‖t	αj)‖t	NOUN
ma-50	99	42	−	−	PROPN
ma-50	99	43	v‖2	v‖2	PROPN
ma-50	99	44	]	]	PUNCT
ma-50	99	45	−(1−	−(1−	ADP
ma-50	99	46	αk	αk	NOUN
ma-50	99	47	)	)	PUNCT
ma-50	99	48	[	[	PUNCT
ma-50	99	49	n∑	n∑	NOUN
ma-50	99	50	i	i	PRON
ma-50	99	51	=	=	VERB
ma-50	99	52	k+1	k+1	X
ma-50	99	53	αi	αi	VERB
ma-50	99	54	i−1∏	i−1∏	PROPN
ma-50	99	55	j	j	PROPN
ma-50	100	1	=	=	PROPN
ma-50	100	2	k	k	PROPN
ma-50	100	3	(	(	PUNCT
ma-50	100	4	1−	1−	NUM
ma-50	100	5	αj)‖vi−1	αj)‖vi−1	PROPN
ma-50	100	6	−	−	PROPN
ma-50	100	7	(	(	PUNCT
ma-50	100	8	αi+1	αi+1	NUM
ma-50	100	9	+	+	NOUN
ma-50	100	10	wi+1)‖2	wi+1)‖2	PROPN
ma-50	100	11	+	+	ADJ
ma-50	100	12	αn	αn	NOUN
ma-50	100	13	i−1∏	i−1∏	PROPN
ma-50	100	14	j	j	PROPN
ma-50	100	15	=	=	PROPN
ma-50	100	16	k	k	PROPN
ma-50	100	17	(	(	PUNCT
ma-50	100	18	1−	1−	NUM
ma-50	100	19	αj)‖v	αj)‖v	NUM
ma-50	100	20	−	−	PROPN
ma-50	100	21	vn−1‖2	vn−1‖2	PROPN
ma-50	100	22	]	]	PUNCT
ma-50	100	23	,	,	PUNCT
ma-50	100	24	where	where	SCONJ
ma-50	100	25	wk	wk	NOUN
ma-50	100	26	=	=	SYM
ma-50	100	27	∑n	∑n	PROPN
ma-50	100	28	i	i	PRON
ma-50	100	29	=	=	VERB
ma-50	100	30	k+1	k+1	X
ma-50	100	31	αi	αi	ADP
ma-50	100	32	∏i−1	∏i−1	PROPN
ma-50	100	33	j	j	X
ma-50	101	1	=	=	PROPN
ma-50	101	2	k(1−	k(1−	PROPN
ma-50	101	3	αj)vi−1	αj)vi−1	PROPN
ma-50	102	1	+	+	CCONJ
ma-50	102	2	∏i−1	∏i−1	PROPN
ma-50	102	3	j	j	X
ma-50	102	4	=	=	PROPN
ma-50	102	5	k(1−	k(1−	PROPN
ma-50	102	6	αj)v	αj)v	PROPN
ma-50	102	7	,	,	PUNCT
ma-50	102	8	k	k	PROPN
ma-50	102	9	=	=	SYM
ma-50	102	10	1	1	NUM
ma-50	102	11	,	,	PUNCT
ma-50	102	12	2	2	NUM
ma-50	102	13	,	,	PUNCT
ma-50	102	14	·	·	PUNCT
ma-50	102	15	·	·	PUNCT
ma-50	102	16	·	·	PUNCT
ma-50	102	17	,	,	PUNCT
ma-50	102	18	n	n	PROPN
ma-50	102	19	and	and	CCONJ
ma-50	102	20	wn	wn	PROPN
ma-50	102	21	=	=	SYM
ma-50	102	22	(	(	PUNCT
ma-50	102	23	1−	1−	NUM
ma-50	102	24	cn)v	cn)v	PROPN
ma-50	102	25	.	.	PUNCT
ma-50	103	1	3	3	X
ma-50	103	2	.	.	X
ma-50	103	3	main	main	ADJ
ma-50	103	4	results	result	NOUN
ma-50	103	5	i	i	PRON
ma-50	103	6	let	let	VERB
ma-50	103	7	h	h	PRON
ma-50	103	8	be	be	AUX
ma-50	103	9	a	a	DET
ma-50	103	10	hilbert	hilbert	NOUN
ma-50	103	11	space	space	NOUN
ma-50	103	12	and	and	CCONJ
ma-50	103	13	let	let	VERB
ma-50	103	14	γ	γ	X
ma-50	103	15	:	:	PUNCT
ma-50	103	16	h	h	PROPN
ma-50	104	1	−→	−→	NOUN
ma-50	104	2	h	h	NOUN
ma-50	104	3	be	be	VERB
ma-50	104	4	a	a	DET
ma-50	104	5	self	self	NOUN
ma-50	104	6	-	-	PUNCT
ma-50	104	7	map	map	NOUN
ma-50	104	8	of	of	ADP
ma-50	104	9	x.	x.	NOUN
ma-50	104	10	for	for	ADP
ma-50	104	11	arbitrary	arbitrary	ADJ
ma-50	104	12	x0	x0	PROPN
ma-50	104	13	∈	∈	PROPN
ma-50	104	14	h	h	NOUN
ma-50	104	15	definethe	definethe	DET
ma-50	104	16	sequence	sequence	NOUN
ma-50	104	17	{	{	PUNCT
ma-50	104	18	xn+1}∞n=0	xn+1}∞n=0	X
ma-50	104	19	iteratively	iteratively	ADV
ma-50	104	20	,	,	PUNCT
ma-50	104	21	for	for	ADP
ma-50	104	22	s	s	NOUN
ma-50	104	23	=	=	SYM
ma-50	104	24	1	1	NUM
ma-50	104	25	,	,	PUNCT
ma-50	104	26	2	2	NUM
ma-50	104	27	,	,	PUNCT
ma-50	104	28	·	·	PUNCT
ma-50	104	29	·	·	PUNCT
ma-50	105	1	·	·	PUNCT
ma-50	105	2	,	,	PUNCT
ma-50	105	3	k	k	PROPN
ma-50	105	4	−	−	PROPN
ma-50	105	5	2	2	NUM
ma-50	105	6	,	,	PUNCT
ma-50	105	7	as	as	ADP
ma-50	105	8	follows:	follows:	PROPN
ma-50	105	9	xn+1	xn+1	PROPN
ma-50	105	10	=	=	SYM
ma-50	105	11	δn,1xn	δn,1xn	NOUN
ma-50	105	12	+	+	PUNCT
ma-50	105	13	∑`1	∑`1	PUNCT
ma-50	105	14	j=2	j=2	PROPN
ma-50	105	15	δn	δn	NOUN
ma-50	105	16	,	,	PUNCT
ma-50	105	17	j	j	PROPN
ma-50	105	18	∏j−1	∏j−1	PROPN
ma-50	105	19	i=1(1−	i=1(1−	PROPN
ma-50	105	20	δn	δn	NOUN
ma-50	105	21	,	,	PUNCT
ma-50	105	22	i)γj−1y1n	i)γj−1y1n	PROPN
ma-50	105	23	+	+	CCONJ
ma-50	105	24	∏`1	∏`1	ADJ
ma-50	105	25	i=1(1−	i=1(1−	PROPN
ma-50	105	26	δn	δn	NOUN
ma-50	105	27	,	,	PUNCT
ma-50	105	28	i)γ`1y1n	i)γ`1y1n	NOUN
ma-50	105	29	;	;	PUNCT
ma-50	105	30	y	y	PROPN
ma-50	105	31	sn	sn	PROPN
ma-50	105	32	=	=	SYM
ma-50	105	33	αsn,1xn	αsn,1xn	PROPN
ma-50	105	34	+	+	CCONJ
ma-50	105	35	∑`s+1	∑`s+1	PROPN
ma-50	105	36	j=2	j=2	PROPN
ma-50	105	37	α	α	PROPN
ma-50	105	38	s	s	PROPN
ma-50	105	39	n	n	CCONJ
ma-50	105	40	,	,	PUNCT
ma-50	105	41	j	j	PROPN
ma-50	105	42	∏j−1	∏j−1	PROPN
ma-50	105	43	i=1(1−	i=1(1−	PROPN
ma-50	105	44	αsn	αsn	NOUN
ma-50	105	45	,	,	PUNCT
ma-50	105	46	i)γj−1y	i)γj−1y	PROPN
ma-50	105	47	s+1n	s+1n	PROPN
ma-50	105	48	+	+	NUM
ma-50	105	49	∏`s+1	∏`s+1	PROPN
ma-50	105	50	i=1	i=1	PROPN
ma-50	105	51	(	(	PUNCT
ma-50	105	52	1−	1−	NUM
ma-50	105	53	αsn	αsn	NOUN
ma-50	105	54	,	,	PUNCT
ma-50	105	55	i)γ`1y	i)γ`1y	ADJ
ma-50	105	56	s+1n	s+1n	VERB
ma-50	105	57	;	;	PUNCT
ma-50	105	58	y	y	PROPN
ma-50	105	59	k−1n	k−1n	NOUN
ma-50	105	60	=	=	PUNCT
ma-50	105	61	∑`k	∑`k	NOUN
ma-50	106	1	j=1	j=1	PROPN
ma-50	106	2	α	α	PROPN
ma-50	106	3	k−1	k−1	PROPN
ma-50	106	4	n	n	CCONJ
ma-50	106	5	,	,	PUNCT
ma-50	106	6	j	j	PROPN
ma-50	106	7	∏j−1	∏j−1	PROPN
ma-50	106	8	i=1(1−	i=1(1−	PROPN
ma-50	106	9	αk−1n	αk−1n	PROPN
ma-50	106	10	,	,	PUNCT
ma-50	106	11	i	i	PRON
ma-50	106	12	)	)	PUNCT
ma-50	106	13	γj−1xn	γj−1xn	X
ma-50	106	14	+	+	CCONJ
ma-50	106	15	∏`k	∏`k	NOUN
ma-50	106	16	i=1(1−	i=1(1−	PROPN
ma-50	106	17	αk−1n	αk−1n	PROPN
ma-50	106	18	,	,	PUNCT
ma-50	106	19	i	i	PRON
ma-50	106	20	)	)	PUNCT
ma-50	106	21	γ`k	γ`k	NOUN
ma-50	107	1	xn	xn	PROPN
ma-50	107	2	,	,	PUNCT
ma-50	107	3	k	k	PROPN
ma-50	107	4	≥	≥	NUM
ma-50	107	5	2	2	NUM
ma-50	107	6	,	,	PUNCT
ma-50	107	7	n	n	PRON
ma-50	107	8	≥	≥	NOUN
ma-50	107	9	1	1	NUM
ma-50	107	10	,	,	PUNCT
ma-50	107	11	(	(	PUNCT
ma-50	107	12	3.1	3.1	NUM
ma-50	107	13	)	)	PUNCT
ma-50	107	14	where	where	SCONJ
ma-50	107	15	`	`	PUNCT
ma-50	107	16	1	1	NUM
ma-50	107	17	≥	≥	NOUN
ma-50	107	18	`	`	PUNCT
ma-50	107	19	2	2	NUM
ma-50	107	20	≥	≥	NOUN
ma-50	107	21	`	`	PUNCT
ma-50	107	22	3	3	NUM
ma-50	107	23	≥	≥	NOUN
ma-50	107	24	·	·	PUNCT
ma-50	107	25	·	·	PUNCT
ma-50	107	26	·	·	PUNCT
ma-50	107	27	≥	≥	NUM
ma-50	108	1	`	`	PUNCT
ma-50	108	2	k	k	PROPN
ma-50	108	3	,	,	PUNCT
ma-50	108	4	for	for	ADP
ma-50	108	5	each	each	DET
ma-50	108	6	s	s	PART
ma-50	108	7	,	,	PUNCT
ma-50	108	8	{	{	PUNCT
ma-50	108	9	{	{	PUNCT
ma-50	108	10	δn	δn	NOUN
ma-50	108	11	,	,	PUNCT
ma-50	108	12	i}∞n=0}`kj=1	i}∞n=0}`kj=1	NOUN
ma-50	108	13	,	,	PUNCT
ma-50	108	14	{	{	PUNCT
ma-50	108	15	{	{	PUNCT
ma-50	108	16	αn	αn	NOUN
ma-50	108	17	,	,	PUNCT
ma-50	108	18	i}∞n=0}`kj=1	i}∞n=0}`kj=1	ADJ
ma-50	108	19	∈	∈	PROPN
ma-50	109	1	[	[	X
ma-50	109	2	0	0	NUM
ma-50	109	3	,	,	PUNCT
ma-50	109	4	1	1	NUM
ma-50	109	5	]	]	PUNCT
ma-50	109	6	for	for	ADP
ma-50	109	7	each	each	DET
ma-50	109	8	k	k	PROPN
ma-50	109	9	and	and	CCONJ
ma-50	109	10	`	`	PUNCT
ma-50	109	11	1	1	NUM
ma-50	109	12	,	,	PUNCT
ma-50	109	13	`	`	PUNCT
ma-50	109	14	2	2	NUM
ma-50	109	15	,	,	PUNCT
ma-50	109	16	·	·	PUNCT
ma-50	109	17	·	·	PUNCT
ma-50	109	18	·	·	PUNCT
ma-50	109	19	,	,	PUNCT
ma-50	109	20	`	`	PUNCT
ma-50	109	21	k	k	X
ma-50	109	22	are	be	AUX
ma-50	109	23	fixed	fix	VERB
ma-50	109	24	integers	integer	NOUN
ma-50	109	25	(	(	PUNCT
ma-50	109	26	for	for	ADP
ma-50	109	27	each	each	DET
ma-50	109	28	k	k	NOUN
ma-50	109	29	)	)	PUNCT
ma-50	109	30	.	.	PUNCT
ma-50	110	1	we	we	PRON
ma-50	110	2	shall	shall	AUX
ma-50	110	3	call	call	VERB
ma-50	110	4	the	the	DET
ma-50	110	5	iteration	iteration	NOUN
ma-50	110	6	scheme	scheme	NOUN
ma-50	110	7	defined	define	VERB
ma-50	110	8	by	by	ADP
ma-50	110	9	(	(	PUNCT
ma-50	110	10	3.1)the	3.1)the	DET
ma-50	110	11	multistep	multistep	ADJ
ma-50	110	12	ih	ih	NOUN
ma-50	110	13	-	-	PUNCT
ma-50	110	14	iteration	iteration	NOUN
ma-50	110	15	scheme.again	scheme.again	PROPN
ma-50	110	16	,	,	PUNCT
ma-50	110	17	for	for	ADP
ma-50	110	18	any	any	DET
ma-50	110	19	x0	x0	PROPN
ma-50	110	20	∈	∈	PROPN
ma-50	110	21	x	x	X
ma-50	110	22	,	,	PUNCT
ma-50	110	23	we	we	PRON
ma-50	110	24	shall	shall	AUX
ma-50	110	25	call	call	VERB
ma-50	110	26	the	the	DET
ma-50	110	27	sequence	sequence	NOUN
ma-50	110	28	{	{	PUNCT
ma-50	110	29	xn}∞n=0	xn}∞n=0	NUM
ma-50	110	30	defined	define	VERB
ma-50	110	31	recursively	recursively	ADV
ma-50	110	32	,	,	PUNCT
ma-50	110	33	for	for	ADP
ma-50	110	34	s	s	NOUN
ma-50	110	35	=	=	SYM
ma-50	110	36	1	1	NUM
ma-50	110	37	,	,	PUNCT
ma-50	110	38	2	2	NUM
ma-50	110	39	,	,	PUNCT
ma-50	110	40	·	·	PUNCT
ma-50	110	41	·	·	PUNCT
ma-50	110	42	·	·	PUNCT
ma-50	111	1	,	,	PUNCT
ma-50	111	2	k	k	PROPN
ma-50	111	3	−	−	PROPN
ma-50	111	4	2	2	NUM
ma-50	111	5	,	,	PUNCT
ma-50	111	6	by	by	PROPN
ma-50	111	7	xn+1	xn+1	PROPN
ma-50	111	8	=	=	SYM
ma-50	111	9	δn,1y	δn,1y	VERB
ma-50	111	10	1	1	NUM
ma-50	111	11	n	n	NOUN
ma-50	111	12	+	+	NOUN
ma-50	111	13	∑`1	∑`1	CCONJ
ma-50	111	14	j=2	j=2	PROPN
ma-50	111	15	δn	δn	NOUN
ma-50	111	16	,	,	PUNCT
ma-50	111	17	j	j	PROPN
ma-50	111	18	∏j−1	∏j−1	PROPN
ma-50	111	19	i=1(1−	i=1(1−	PROPN
ma-50	111	20	δn	δn	NOUN
ma-50	111	21	,	,	PUNCT
ma-50	111	22	i)γj−1y1n	i)γj−1y1n	PROPN
ma-50	111	23	+	+	CCONJ
ma-50	111	24	∏`1	∏`1	ADJ
ma-50	111	25	i=1(1−	i=1(1−	PROPN
ma-50	111	26	δn	δn	NOUN
ma-50	111	27	,	,	PUNCT
ma-50	111	28	i)γ`1y1n	i)γ`1y1n	NOUN
ma-50	111	29	;	;	PUNCT
ma-50	111	30	y	y	PROPN
ma-50	111	31	sn	sn	PROPN
ma-50	112	1	=	=	PUNCT
ma-50	112	2	αsn,1y	αsn,1y	VERB
ma-50	112	3	s+1	s+1	PROPN
ma-50	112	4	n	n	PROPN
ma-50	112	5	+	+	CCONJ
ma-50	112	6	∑`s+1	∑`s+1	PROPN
ma-50	112	7	j=2	j=2	PROPN
ma-50	112	8	α	α	PROPN
ma-50	112	9	s	s	PROPN
ma-50	112	10	n	n	CCONJ
ma-50	112	11	,	,	PUNCT
ma-50	112	12	j	j	PROPN
ma-50	112	13	∏j−1	∏j−1	PROPN
ma-50	112	14	i=1(1−	i=1(1−	PROPN
ma-50	112	15	αsn	αsn	NOUN
ma-50	112	16	,	,	PUNCT
ma-50	113	1	i)γj−1y	i)γj−1y	PROPN
ma-50	113	2	s+1n	s+1n	PROPN
ma-50	113	3	+	+	NUM
ma-50	113	4	∏`s+1	∏`s+1	PROPN
ma-50	113	5	i=1	i=1	PROPN
ma-50	113	6	(	(	PUNCT
ma-50	113	7	1−	1−	NUM
ma-50	113	8	αsn	αsn	NOUN
ma-50	113	9	,	,	PUNCT
ma-50	113	10	i)γ`1y	i)γ`1y	ADJ
ma-50	113	11	s+1n	s+1n	VERB
ma-50	113	12	;	;	PUNCT
ma-50	113	13	y	y	PROPN
ma-50	113	14	k−1n	k−1n	NOUN
ma-50	113	15	=	=	PUNCT
ma-50	113	16	∑`k	∑`k	NOUN
ma-50	113	17	j=1	j=1	PROPN
ma-50	113	18	α	α	PROPN
ma-50	113	19	k−1	k−1	PROPN
ma-50	113	20	n	n	CCONJ
ma-50	113	21	,	,	PUNCT
ma-50	113	22	j	j	PROPN
ma-50	113	23	∏j−1	∏j−1	PROPN
ma-50	113	24	i=1(1−	i=1(1−	PROPN
ma-50	113	25	αk−1n	αk−1n	PROPN
ma-50	113	26	,	,	PUNCT
ma-50	113	27	i	i	PRON
ma-50	113	28	)	)	PUNCT
ma-50	113	29	γj−1xn	γj−1xn	X
ma-50	113	30	+	+	CCONJ
ma-50	113	31	∏`k	∏`k	NOUN
ma-50	113	32	i=1(1−	i=1(1−	PROPN
ma-50	113	33	αk−1n	αk−1n	PROPN
ma-50	113	34	,	,	PUNCT
ma-50	113	35	i	i	PRON
ma-50	113	36	)	)	PUNCT
ma-50	113	37	γ`k	γ`k	NOUN
ma-50	114	1	xn	xn	PROPN
ma-50	114	2	,	,	PUNCT
ma-50	114	3	k	k	PROPN
ma-50	114	4	≥	≥	NUM
ma-50	114	5	2	2	NUM
ma-50	114	6	,	,	PUNCT
ma-50	114	7	n	n	PRON
ma-50	114	8	≥	≥	NOUN
ma-50	114	9	1	1	NUM
ma-50	114	10	,	,	PUNCT
ma-50	114	11	(	(	PUNCT
ma-50	114	12	3.2	3.2	NUM
ma-50	114	13	)	)	PUNCT
ma-50	114	14	where	where	SCONJ
ma-50	114	15	`	`	PUNCT
ma-50	114	16	1	1	NUM
ma-50	114	17	≥	≥	NOUN
ma-50	114	18	`	`	PUNCT
ma-50	114	19	2	2	NUM
ma-50	114	20	≥	≥	NOUN
ma-50	114	21	`	`	PUNCT
ma-50	114	22	3	3	NUM
ma-50	114	23	≥	≥	NOUN
ma-50	114	24	·	·	PUNCT
ma-50	114	25	·	·	PUNCT
ma-50	114	26	·	·	PUNCT
ma-50	114	27	≥	≥	NUM
ma-50	115	1	`	`	PUNCT
ma-50	115	2	k	k	PROPN
ma-50	115	3	,	,	PUNCT
ma-50	115	4	for	for	ADP
ma-50	115	5	each	each	DET
ma-50	115	6	s	s	PART
ma-50	115	7	,	,	PUNCT
ma-50	115	8	{	{	PUNCT
ma-50	115	9	{	{	PUNCT
ma-50	115	10	δn	δn	NOUN
ma-50	115	11	,	,	PUNCT
ma-50	115	12	i}∞n=0}`kj=1	i}∞n=0}`kj=1	NOUN
ma-50	115	13	,	,	PUNCT
ma-50	115	14	{	{	PUNCT
ma-50	115	15	{	{	PUNCT
ma-50	115	16	αn	αn	NOUN
ma-50	115	17	,	,	PUNCT
ma-50	115	18	i}∞n=0}`kj=1	i}∞n=0}`kj=1	ADJ
ma-50	115	19	∈	∈	PROPN
ma-50	116	1	[	[	X
ma-50	116	2	0	0	NUM
ma-50	116	3	,	,	PUNCT
ma-50	116	4	1	1	NUM
ma-50	116	5	]	]	PUNCT
ma-50	116	6	for	for	ADP
ma-50	116	7	each	each	DET
ma-50	116	8	k	k	PROPN
ma-50	116	9	and	and	CCONJ
ma-50	116	10	`	`	PUNCT
ma-50	116	11	1	1	NUM
ma-50	116	12	,	,	PUNCT
ma-50	116	13	`	`	PUNCT
ma-50	116	14	2	2	NUM
ma-50	116	15	,	,	PUNCT
ma-50	116	16	·	·	PUNCT
ma-50	116	17	·	·	PUNCT
ma-50	116	18	·	·	PUNCT
ma-50	116	19	,	,	PUNCT
ma-50	116	20	`	`	PUNCT
ma-50	116	21	k	k	X
ma-50	116	22	are	be	AUX
ma-50	116	23	fixed	fix	VERB
ma-50	116	24	integers	integer	NOUN
ma-50	116	25	(	(	PUNCT
ma-50	116	26	for	for	ADP
ma-50	116	27	each	each	DET
ma-50	116	28	k	k	NOUN
ma-50	116	29	)	)	PUNCT
ma-50	116	30	,	,	PUNCT
ma-50	116	31	the	the	DET
ma-50	116	32	multistep	multistep	ADJ
ma-50	116	33	di	di	NOUN
ma-50	116	34	-	-	PUNCT
ma-50	116	35	iteration	iteration	NOUN
ma-50	116	36	scheme	scheme	NOUN
ma-50	116	37	.	.	PUNCT
ma-50	117	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	117	2	eur	eur	NOUN
ma-50	117	3	.	.	PUNCT
ma-50	118	1	j.	j.	PROPN
ma-50	118	2	math	math	PROPN
ma-50	118	3	.	.	PUNCT
ma-50	119	1	anal	anal	PROPN
ma-50	119	2	.	.	PUNCT
ma-50	120	1	10.28924	10.28924	NUM
ma-50	120	2	/	/	SYM
ma-50	120	3	ada	ada	PROPN
ma-50	120	4	/	/	SYM
ma-50	120	5	ma.2.1	ma.2.1	PROPN
ma-50	120	6	6	6	NUM
ma-50	120	7	theorem	theorem	VERB
ma-50	120	8	3.1	3.1	NUM
ma-50	120	9	.	.	PUNCT
ma-50	121	1	let	let	VERB
ma-50	121	2	h	h	PRON
ma-50	121	3	be	be	AUX
ma-50	121	4	a	a	DET
ma-50	121	5	hilbert	hilbert	NOUN
ma-50	121	6	space	space	NOUN
ma-50	121	7	,	,	PUNCT
ma-50	121	8	γ	γ	X
ma-50	121	9	:	:	PUNCT
ma-50	121	10	h	h	PROPN
ma-50	121	11	−→	−→	NOUN
ma-50	121	12	h	h	NOUN
ma-50	121	13	be	be	VERB
ma-50	121	14	a	a	DET
ma-50	121	15	self	self	NOUN
ma-50	121	16	-	-	PUNCT
ma-50	121	17	map	map	NOUN
ma-50	121	18	of	of	ADP
ma-50	121	19	h	h	NOUN
ma-50	121	20	satisfying	satisfy	VERB
ma-50	121	21	the	the	DET
ma-50	121	22	contractive	contractive	ADJ
ma-50	121	23	condition	condition	NOUN
ma-50	121	24	‖γjx	‖γjx	NOUN
ma-50	121	25	−	−	PROPN
ma-50	121	26	γjy‖	γjy‖	PUNCT
ma-50	121	27	≤	≤	NUM
ma-50	122	1	ρj‖x	ρj‖x	NUM
ma-50	122	2	−	−	NUM
ma-50	123	1	y‖+	y‖+	INTJ
ma-50	123	2	j∑	j∑	PROPN
ma-50	123	3	i=0	i=0	PROPN
ma-50	123	4	(	(	PUNCT
ma-50	123	5	j	j	PROPN
ma-50	123	6	i	i	PROPN
ma-50	123	7	)	)	PUNCT
ma-50	123	8	ρj−iφ(‖x	ρj−iφ(‖x	PROPN
ma-50	123	9	−	−	PROPN
ma-50	124	1	γx‖	γx‖	PROPN
ma-50	124	2	)	)	PUNCT
ma-50	124	3	,	,	PUNCT
ma-50	124	4	(	(	PUNCT
ma-50	124	5	3.3	3.3	NUM
ma-50	124	6	)	)	PUNCT
ma-50	124	7	where	where	SCONJ
ma-50	124	8	x	x	AUX
ma-50	124	9	,	,	PUNCT
ma-50	124	10	y	y	PROPN
ma-50	124	11	∈	∈	PROPN
ma-50	124	12	h	h	NOUN
ma-50	124	13	,	,	PUNCT
ma-50	124	14	0	0	NUM
ma-50	124	15	≤	≤	NUM
ma-50	125	1	ρj	ρj	CCONJ
ma-50	125	2	<	<	X
ma-50	125	3	1	1	NUM
ma-50	125	4	,	,	PUNCT
ma-50	126	1	and	and	CCONJ
ma-50	126	2	let	let	VERB
ma-50	126	3	φ	φ	PRON
ma-50	126	4	retain	retain	VERB
ma-50	126	5	its	its	PRON
ma-50	126	6	usual	usual	ADJ
ma-50	126	7	meaning	meaning	NOUN
ma-50	126	8	with	with	ADP
ma-50	126	9	φ(0	φ(0	ADJ
ma-50	126	10	)	)	PUNCT
ma-50	126	11	=	=	SYM
ma-50	126	12	0	0	NUM
ma-50	126	13	and	and	CCONJ
ma-50	126	14	φ(mt	φ(mt	NOUN
ma-50	126	15	)	)	PUNCT
ma-50	126	16	=	=	SYM
ma-50	126	17	mφ(t),m	mφ(t),m	NOUN
ma-50	126	18	≥	≥	NUM
ma-50	126	19	0	0	NUM
ma-50	126	20	,	,	PUNCT
ma-50	126	21	t	t	PROPN
ma-50	126	22	∈	∈	PROPN
ma-50	126	23	r+	r+	NOUN
ma-50	126	24	.	.	PUNCT
ma-50	127	1	for	for	ADP
ma-50	127	2	arbitrary	arbitrary	ADJ
ma-50	127	3	x0	x0	PROPN
ma-50	127	4	∈	∈	PROPN
ma-50	127	5	h	h	NOUN
ma-50	127	6	,	,	PUNCT
ma-50	127	7	let	let	VERB
ma-50	127	8	{	{	PUNCT
ma-50	127	9	ωn}∞n=0	ωn}∞n=0	NUM
ma-50	127	10	be	be	AUX
ma-50	127	11	the	the	DET
ma-50	127	12	multistep	multistep	ADJ
ma-50	127	13	h	h	ADJ
ma-50	127	14	-	-	PUNCT
ma-50	127	15	iteration	iteration	NOUN
ma-50	127	16	scheme	scheme	NOUN
ma-50	127	17	defined	define	VERB
ma-50	127	18	by	by	ADP
ma-50	127	19	(	(	PUNCT
ma-50	127	20	3.1	3.1	NUM
ma-50	127	21	)	)	PUNCT
ma-50	127	22	.	.	PUNCT
ma-50	128	1	then	then	ADV
ma-50	128	2	,	,	PUNCT
ma-50	128	3	(	(	PUNCT
ma-50	128	4	i	i	NOUN
ma-50	128	5	)	)	PUNCT
ma-50	128	6	γ	γ	PROPN
ma-50	128	7	defined	define	VERB
ma-50	128	8	by	by	ADP
ma-50	128	9	(	(	PUNCT
ma-50	128	10	3.3	3.3	NUM
ma-50	128	11	)	)	PUNCT
ma-50	128	12	has	have	VERB
ma-50	128	13	a	a	DET
ma-50	128	14	fixed	fix	VERB
ma-50	128	15	point	point	NOUN
ma-50	128	16	q	q	NOUN
ma-50	128	17	;	;	PUNCT
ma-50	128	18	(	(	PUNCT
ma-50	128	19	i	i	PRON
ma-50	128	20	i	i	PROPN
ma-50	128	21	)	)	PUNCT
ma-50	128	22	the	the	DET
ma-50	128	23	multistep	multistep	ADJ
ma-50	128	24	ih	ih	NOUN
ma-50	128	25	-	-	PUNCT
ma-50	128	26	iteration	iteration	NOUN
ma-50	128	27	scheme	scheme	NOUN
ma-50	128	28	converges	converge	NOUN
ma-50	128	29	strongly	strongly	ADV
ma-50	128	30	to	to	ADP
ma-50	128	31	q	q	PROPN
ma-50	128	32	∈	∈	PROPN
ma-50	128	33	γ	γ	X
ma-50	128	34	.	.	PUNCT
ma-50	128	35	proof	proof	NOUN
ma-50	128	36	.	.	PUNCT
ma-50	129	1	firstly	firstly	ADV
ma-50	129	2	,	,	PUNCT
ma-50	129	3	we	we	PRON
ma-50	129	4	show	show	VERB
ma-50	129	5	that	that	SCONJ
ma-50	129	6	γ	γ	NOUN
ma-50	129	7	satisfying	satisfy	VERB
ma-50	129	8	condition	condition	NOUN
ma-50	129	9	of	of	ADP
ma-50	129	10	(	(	PUNCT
ma-50	129	11	3.3	3.3	NUM
ma-50	129	12	)	)	PUNCT
ma-50	129	13	has	have	VERB
ma-50	129	14	a	a	DET
ma-50	129	15	fixed	fix	VERB
ma-50	129	16	point	point	NOUN
ma-50	129	17	.	.	PUNCT
ma-50	130	1	assume	assume	VERB
ma-50	130	2	there	there	PRON
ma-50	130	3	existstwo	existstwo	PROPN
ma-50	130	4	points	point	NOUN
ma-50	130	5	q1	q1	PROPN
ma-50	130	6	,	,	PUNCT
ma-50	130	7	q2	q2	PROPN
ma-50	130	8	∈	∈	PROPN
ma-50	130	9	f	f	X
ma-50	130	10	(	(	PUNCT
ma-50	130	11	γ	γ	PROPN
ma-50	130	12	)	)	PUNCT
ma-50	130	13	with	with	ADP
ma-50	130	14	0	0	NUM
ma-50	130	15	<	<	X
ma-50	130	16	‖q1	‖q1	PROPN
ma-50	130	17	−	−	PROPN
ma-50	130	18	q2‖.	q2‖.	NOUN
ma-50	130	19	then	then	ADV
ma-50	130	20	,	,	PUNCT
ma-50	130	21	we	we	PRON
ma-50	130	22	have	have	VERB
ma-50	130	23	0	0	NUM
ma-50	130	24	<	<	X
ma-50	130	25	‖q1	‖q1	PROPN
ma-50	131	1	−	−	PROPN
ma-50	132	1	q2‖	q2‖	PROPN
ma-50	132	2	=	=	SYM
ma-50	132	3	‖γjq1	‖γjq1	ADP
ma-50	132	4	−	−	PROPN
ma-50	132	5	γjq2‖	γjq2‖	VERB
ma-50	132	6	≤	≤	NOUN
ma-50	132	7	ρj‖q1	ρj‖q1	NOUN
ma-50	132	8	−	−	PROPN
ma-50	133	1	q2‖+	q2‖+	NOUN
ma-50	133	2	j∑	j∑	PROPN
ma-50	133	3	i=0	i=0	PROPN
ma-50	133	4	(	(	PUNCT
ma-50	133	5	j	j	NOUN
ma-50	133	6	i	i	PROPN
ma-50	133	7	)	)	PUNCT
ma-50	133	8	ρj−iφ(‖q	ρj−iφ(‖q	PROPN
ma-50	134	1	√	√	PROPN
ma-50	134	2	1−	1−	NUM
ma-50	134	3	γq1‖	γq1‖	PROPN
ma-50	134	4	)	)	PUNCT
ma-50	135	1	=	=	SYM
ma-50	135	2	ρj‖q1	ρj‖q1	PROPN
ma-50	135	3	−	−	PROPN
ma-50	136	1	q2‖+	q2‖+	NOUN
ma-50	136	2	j∑	j∑	PROPN
ma-50	136	3	i=0	i=0	PROPN
ma-50	136	4	(	(	PUNCT
ma-50	136	5	j	j	PROPN
ma-50	136	6	i	i	PROPN
ma-50	136	7	)	)	PUNCT
ma-50	136	8	ρj−iφ(0	ρj−iφ(0	NOUN
ma-50	136	9	)	)	PUNCT
ma-50	136	10	⇒	⇒	NOUN
ma-50	136	11	(	(	PUNCT
ma-50	136	12	1−	1−	NUM
ma-50	136	13	ρj)ρj‖q1	ρj)ρj‖q1	PROPN
ma-50	136	14	−	−	PROPN
ma-50	136	15	q2‖	q2‖	VERB
ma-50	136	16	≤	≤	NOUN
ma-50	136	17	0	0	NUM
ma-50	136	18	.	.	PUNCT
ma-50	137	1	using	use	VERB
ma-50	137	2	the	the	DET
ma-50	137	3	fact	fact	NOUN
ma-50	137	4	that	that	SCONJ
ma-50	137	5	ρj	ρj	PRON
ma-50	137	6	∈	∈	PRON
ma-50	138	1	[	[	X
ma-50	138	2	[	[	X
ma-50	138	3	0	0	NUM
ma-50	138	4	,	,	PUNCT
ma-50	138	5	1	1	NUM
ma-50	138	6	)	)	PUNCT
ma-50	138	7	,	,	PUNCT
ma-50	138	8	we	we	PRON
ma-50	138	9	get	get	VERB
ma-50	138	10	0	0	PUNCT
ma-50	138	11	<	<	X
ma-50	139	1	1−	1−	NUM
ma-50	139	2	ρj	ρj	NOUN
ma-50	139	3	and	and	CCONJ
ma-50	139	4	‖q1	‖q1	PROPN
ma-50	139	5	−	−	PROPN
ma-50	139	6	q2‖	q2‖	VERB
ma-50	139	7	≤	≤	NOUN
ma-50	139	8	0.since	0.since	NUM
ma-50	140	1	the	the	DET
ma-50	140	2	norm	norm	NOUN
ma-50	140	3	is	be	AUX
ma-50	140	4	a	a	DET
ma-50	140	5	nonnegative	nonnegative	ADJ
ma-50	140	6	function	function	NOUN
ma-50	140	7	,	,	PUNCT
ma-50	140	8	we	we	PRON
ma-50	140	9	get	get	VERB
ma-50	140	10	‖q1	‖q1	PROPN
ma-50	140	11	−	−	PROPN
ma-50	140	12	q2‖	q2‖	PROPN
ma-50	140	13	=	=	SYM
ma-50	140	14	0	0	NUM
ma-50	140	15	;	;	PUNCT
ma-50	140	16	q1	q1	PROPN
ma-50	140	17	=	=	SYM
ma-50	140	18	q2	q2	PROPN
ma-50	140	19	=	=	SYM
ma-50	140	20	q(say	q(say	PROPN
ma-50	140	21	)	)	PUNCT
ma-50	140	22	.	.	PUNCT
ma-50	141	1	therefore	therefore	ADV
ma-50	141	2	,	,	PUNCT
ma-50	141	3	γconverges	γconverge	NOUN
ma-50	141	4	uniquely	uniquely	ADV
ma-50	141	5	to	to	ADP
ma-50	141	6	a	a	DET
ma-50	141	7	point	point	NOUN
ma-50	141	8	of	of	ADP
ma-50	141	9	f	f	PROPN
ma-50	141	10	(	(	PUNCT
ma-50	141	11	γ).now	γ).now	PROPN
ma-50	141	12	,	,	PUNCT
ma-50	141	13	we	we	PRON
ma-50	141	14	show	show	VERB
ma-50	141	15	that	that	SCONJ
ma-50	141	16	the	the	DET
ma-50	141	17	sequence	sequence	NOUN
ma-50	141	18	defined	define	VERB
ma-50	141	19	by	by	ADP
ma-50	141	20	(	(	PUNCT
ma-50	141	21	3.1	3.1	NUM
ma-50	141	22	)	)	PUNCT
ma-50	141	23	converges	converge	VERB
ma-50	141	24	strongly	strongly	ADV
ma-50	141	25	to	to	ADP
ma-50	141	26	q	q	PROPN
ma-50	141	27	∈	∈	PROPN
ma-50	141	28	f	f	X
ma-50	141	29	(	(	PUNCT
ma-50	141	30	γ	γ	PROPN
ma-50	141	31	)	)	PUNCT
ma-50	141	32	.	.	PUNCT
ma-50	142	1	using	use	VERB
ma-50	142	2	(	(	PUNCT
ma-50	142	3	3.3)and	3.3)and	NUM
ma-50	142	4	proposition	proposition	NOUN
ma-50	142	5	2.4	2.4	NUM
ma-50	142	6	with	with	ADP
ma-50	142	7	xn+1	xn+1	PROPN
ma-50	142	8	=	=	SYM
ma-50	142	9	y	y	PROPN
ma-50	142	10	,	,	PUNCT
ma-50	142	11	u	u	NOUN
ma-50	142	12	=	=	X
ma-50	142	13	q	q	X
ma-50	142	14	,	,	PUNCT
ma-50	142	15	xn	xn	PROPN
ma-50	142	16	=	=	SYM
ma-50	142	17	t	t	PROPN
ma-50	142	18	,	,	PUNCT
ma-50	142	19	j	j	X
ma-50	143	1	=	=	PUNCT
ma-50	143	2	i	i	PROPN
ma-50	143	3	,	,	PUNCT
ma-50	143	4	k	k	X
ma-50	143	5	=	=	PUNCT
ma-50	144	1	1,γj−1y1n	1,γj−1y1n	NUM
ma-50	144	2	=	=	SYM
ma-50	144	3	vj−1	vj−1	PROPN
ma-50	144	4	and	and	CCONJ
ma-50	144	5	γ`1y1n	γ`1y1n	PROPN
ma-50	144	6	=	=	SYM
ma-50	144	7	v	v	PROPN
ma-50	144	8	,	,	PUNCT
ma-50	144	9	wehave	wehave	NOUN
ma-50	144	10	‖xn+1	‖xn+1	PUNCT
ma-50	144	11	−	−	PROPN
ma-50	144	12	q‖2	q‖2	VERB
ma-50	144	13	≤	≤	NUM
ma-50	144	14	δn,1‖xn	δn,1‖xn	X
ma-50	144	15	−	−	PROPN
ma-50	144	16	q‖2	q‖2	PROPN
ma-50	145	1	+	+	CCONJ
ma-50	145	2	`	`	PUNCT
ma-50	145	3	1∑	1∑	NUM
ma-50	145	4	j=2	j=2	PROPN
ma-50	145	5	δn	δn	PROPN
ma-50	145	6	,	,	PUNCT
ma-50	145	7	j	j	PROPN
ma-50	146	1	j−1∏	j−1∏	PROPN
ma-50	146	2	i=1	i=1	PROPN
ma-50	147	1	(	(	PUNCT
ma-50	147	2	1−	1−	NUM
ma-50	147	3	δn	δn	NOUN
ma-50	147	4	,	,	PUNCT
ma-50	147	5	i)‖γj−1y1n	i)‖γj−1y1n	NOUN
ma-50	147	6	−	−	NOUN
ma-50	148	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	148	2	+	+	CCONJ
ma-50	148	3	`	`	PUNCT
ma-50	148	4	1∏	1∏	NUM
ma-50	148	5	i=1	i=1	X
ma-50	148	6	(	(	PUNCT
ma-50	148	7	1−	1−	NUM
ma-50	148	8	δn	δn	NOUN
ma-50	148	9	,	,	PUNCT
ma-50	148	10	i)‖γ`1y1n	i)‖γ`1y1n	PROPN
ma-50	148	11	−	−	PROPN
ma-50	148	12	γ`1q‖2	γ`1q‖2	PUNCT
ma-50	148	13	(	(	PUNCT
ma-50	148	14	3.4	3.4	NUM
ma-50	148	15	)	)	PUNCT
ma-50	148	16	but	but	CCONJ
ma-50	148	17	from	from	ADP
ma-50	148	18	(	(	PUNCT
ma-50	148	19	3.3	3.3	NUM
ma-50	148	20	)	)	PUNCT
ma-50	148	21	,	,	PUNCT
ma-50	148	22	with	with	ADP
ma-50	148	23	y	y	PROPN
ma-50	148	24	=	=	PUNCT
ma-50	148	25	y1n	y1n	PROPN
ma-50	148	26	,	,	PUNCT
ma-50	148	27	we	we	PRON
ma-50	148	28	have	have	VERB
ma-50	148	29	‖γj−1y1n	‖γj−1y1n	ADP
ma-50	148	30	−	−	NOUN
ma-50	148	31	γj−1q‖	γj−1q‖	NOUN
ma-50	148	32	≤	≤	PUNCT
ma-50	148	33	ρj‖y1n	ρj‖y1n	PROPN
ma-50	148	34	−	−	PROPN
ma-50	148	35	q‖+	q‖+	ADJ
ma-50	148	36	j∑	j∑	PROPN
ma-50	148	37	i=0	i=0	PROPN
ma-50	148	38	(	(	PUNCT
ma-50	148	39	j	j	NOUN
ma-50	148	40	i	i	PROPN
ma-50	148	41	)	)	PUNCT
ma-50	149	1	ρj−1φ(‖q	ρj−1φ(‖q	NOUN
ma-50	149	2	−	−	PROPN
ma-50	149	3	γq‖	γq‖	PROPN
ma-50	149	4	)	)	PUNCT
ma-50	150	1	=	=	SYM
ma-50	150	2	ρj‖y1n	ρj‖y1n	PROPN
ma-50	150	3	−	−	NOUN
ma-50	150	4	q‖	q‖	NOUN
ma-50	150	5	(	(	PUNCT
ma-50	150	6	3.5	3.5	NUM
ma-50	150	7	)	)	PUNCT
ma-50	150	8	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	150	9	eur	eur	NOUN
ma-50	150	10	.	.	PUNCT
ma-50	151	1	j.	j.	PROPN
ma-50	151	2	math	math	PROPN
ma-50	151	3	.	.	PUNCT
ma-50	152	1	anal	anal	PROPN
ma-50	152	2	.	.	PUNCT
ma-50	153	1	10.28924	10.28924	NUM
ma-50	153	2	/	/	SYM
ma-50	153	3	ada	ada	PROPN
ma-50	153	4	/	/	SYM
ma-50	153	5	ma.2.1	ma.2.1	PROPN
ma-50	153	6	7proposition	7proposition	NUM
ma-50	153	7	2.3	2.3	NUM
ma-50	153	8	,	,	PUNCT
ma-50	153	9	(	(	PUNCT
ma-50	153	10	3.4	3.4	NUM
ma-50	153	11	)	)	PUNCT
ma-50	153	12	and	and	CCONJ
ma-50	153	13	(	(	PUNCT
ma-50	153	14	3.5	3.5	NUM
ma-50	153	15	)	)	PUNCT
ma-50	153	16	imply	imply	VERB
ma-50	153	17	‖xn+1	‖xn+1	NUM
ma-50	153	18	−	−	PROPN
ma-50	153	19	q‖2	q‖2	VERB
ma-50	153	20	≤	≤	NUM
ma-50	153	21	δn,1‖xn	δn,1‖xn	X
ma-50	153	22	−	−	PROPN
ma-50	154	1	q‖2	q‖2	PROPN
ma-50	154	2	+	+	CCONJ
ma-50	154	3	`	`	PUNCT
ma-50	154	4	1∑	1∑	NUM
ma-50	154	5	j=2	j=2	PROPN
ma-50	154	6	δn	δn	NOUN
ma-50	154	7	,	,	PUNCT
ma-50	154	8	j(ρ	j(ρ	PROPN
ma-50	154	9	j)2	j)2	VERB
ma-50	154	10	j−1∏	j−1∏	ADP
ma-50	154	11	i=1	i=1	PROPN
ma-50	155	1	(	(	PUNCT
ma-50	155	2	1−	1−	NUM
ma-50	155	3	δn	δn	NOUN
ma-50	155	4	,	,	PUNCT
ma-50	155	5	i)‖y1n	i)‖y1n	PROPN
ma-50	155	6	−	−	PROPN
ma-50	155	7	q‖2	q‖2	VERB
ma-50	155	8	+	+	CCONJ
ma-50	156	1	`	`	PUNCT
ma-50	157	1	1∏	1∏	NUM
ma-50	157	2	i=1	i=1	PROPN
ma-50	157	3	(	(	PUNCT
ma-50	157	4	1−	1−	NUM
ma-50	157	5	δn	δn	NOUN
ma-50	157	6	,	,	PUNCT
ma-50	157	7	i)(ρj)2‖y1n	i)(ρj)2‖y1n	PROPN
ma-50	157	8	−	−	PROPN
ma-50	157	9	q‖2	q‖2	VERB
ma-50	157	10	=	=	PUNCT
ma-50	157	11	δn,1‖xn	δn,1‖xn	X
ma-50	157	12	−	−	PROPN
ma-50	157	13	q‖2	q‖2	PROPN
ma-50	158	1	+	+	CCONJ
ma-50	158	2	(	(	PUNCT
ma-50	158	3	1−	1−	NUM
ma-50	158	4	δ1n,1	δ1n,1	NOUN
ma-50	158	5	−	−	NUM
ma-50	158	6	`	`	PUNCT
ma-50	158	7	1∏	1∏	NUM
ma-50	158	8	i=1	i=1	PROPN
ma-50	158	9	(	(	PUNCT
ma-50	158	10	1−	1−	NUM
ma-50	158	11	δn	δn	NOUN
ma-50	158	12	,	,	PUNCT
ma-50	158	13	i)(ρj)2	i)(ρj)2	ADJ
ma-50	158	14	)	)	PUNCT
ma-50	158	15	‖y1n	‖y1n	PROPN
ma-50	158	16	−	−	PROPN
ma-50	159	1	q‖2	q‖2	PROPN
ma-50	159	2	+	+	CCONJ
ma-50	159	3	`	`	PUNCT
ma-50	159	4	1∏	1∏	NUM
ma-50	159	5	i=1	i=1	PROPN
ma-50	159	6	(	(	PUNCT
ma-50	159	7	1−	1−	NUM
ma-50	159	8	δn	δn	NOUN
ma-50	159	9	,	,	PUNCT
ma-50	159	10	i)(ρj)2‖y1n	i)(ρj)2‖y1n	PROPN
ma-50	159	11	−	−	PROPN
ma-50	159	12	q‖2	q‖2	VERB
ma-50	159	13	=	=	PUNCT
ma-50	160	1	δn,1‖xn	δn,1‖xn	X
ma-50	160	2	−	−	PROPN
ma-50	160	3	q‖2	q‖2	PROPN
ma-50	160	4	+	+	CCONJ
ma-50	160	5	(	(	PUNCT
ma-50	160	6	1−	1−	NUM
ma-50	160	7	δ1n,1	δ1n,1	NOUN
ma-50	160	8	)	)	PUNCT
ma-50	161	1	‖y1n	‖y1n	PROPN
ma-50	161	2	−	−	PROPN
ma-50	161	3	q‖2	q‖2	PROPN
ma-50	161	4	(	(	PUNCT
ma-50	161	5	3.6	3.6	NUM
ma-50	161	6	)	)	PUNCT
ma-50	161	7	since	since	SCONJ
ma-50	161	8	`	`	PUNCT
ma-50	161	9	1	1	NUM
ma-50	161	10	,	,	PUNCT
ma-50	161	11	`	`	PUNCT
ma-50	161	12	k	k	X
ma-50	161	13	are	be	AUX
ma-50	161	14	fixed	fix	VERB
ma-50	161	15	integers	integer	NOUN
ma-50	161	16	and	and	CCONJ
ma-50	161	17	αsn	αsn	NOUN
ma-50	161	18	,	,	PUNCT
ma-50	161	19	i	i	PRON
ma-50	161	20	∈	∈	VERB
ma-50	162	1	[	[	X
ma-50	162	2	0	0	NUM
ma-50	162	3	,	,	PUNCT
ma-50	162	4	1	1	NUM
ma-50	162	5	]	]	PUNCT
ma-50	162	6	for	for	ADP
ma-50	162	7	each	each	DET
ma-50	162	8	s	s	PART
ma-50	162	9	,	,	PUNCT
ma-50	162	10	we	we	PRON
ma-50	162	11	have	have	VERB
ma-50	162	12	,	,	PUNCT
ma-50	162	13	using	use	VERB
ma-50	162	14	proposition	proposition	NOUN
ma-50	162	15	2.3	2.3	NUM
ma-50	162	16	,	,	PUNCT
ma-50	162	17	thefollowing	thefollowing	NOUN
ma-50	162	18	estimates	estimate	NOUN
ma-50	162	19	for	for	ADP
ma-50	162	20	n	n	NOUN
ma-50	162	21	=	=	SYM
ma-50	162	22	1	1	NUM
ma-50	162	23	,	,	PUNCT
ma-50	162	24	2	2	NUM
ma-50	162	25	,	,	PUNCT
ma-50	162	26	·	·	PUNCT
ma-50	162	27	·	·	PUNCT
ma-50	162	28	·	·	PUNCT
ma-50	162	29	and	and	CCONJ
ma-50	162	30	1	1	NUM
ma-50	162	31	≤	≤	NOUN
ma-50	162	32	s	s	PART
ma-50	162	33	≤	≤	NUM
ma-50	163	1	k	k	NOUN
ma-50	163	2	−	−	PROPN
ma-50	164	1	1	1	NUM
ma-50	164	2	:	:	PUNCT
ma-50	164	3	‖y1n	‖y1n	PROPN
ma-50	164	4	−	−	PROPN
ma-50	164	5	q‖2	q‖2	VERB
ma-50	164	6	≤	≤	NUM
ma-50	164	7	αn,1‖xn	αn,1‖xn	X
ma-50	164	8	−	−	PROPN
ma-50	164	9	q‖2	q‖2	PROPN
ma-50	165	1	+	+	CCONJ
ma-50	165	2	`	`	PUNCT
ma-50	165	3	2∑	2∑	NUM
ma-50	165	4	j=2	j=2	NOUN
ma-50	165	5	αn	αn	NOUN
ma-50	165	6	,	,	PUNCT
ma-50	165	7	j	j	PROPN
ma-50	165	8	j−1∏	j−1∏	PROPN
ma-50	165	9	i=1	i=1	PROPN
ma-50	165	10	(	(	PUNCT
ma-50	165	11	1−	1−	NUM
ma-50	165	12	αn	αn	NOUN
ma-50	165	13	,	,	PUNCT
ma-50	165	14	i)‖γj−1y2n	i)‖γj−1y2n	VERB
ma-50	165	15	−	−	PROPN
ma-50	165	16	γj−1q‖2	γj−1q‖2	PROPN
ma-50	166	1	+	+	CCONJ
ma-50	166	2	`	`	PUNCT
ma-50	166	3	2∏	2∏	NUM
ma-50	166	4	i=1	i=1	PROPN
ma-50	166	5	(	(	PUNCT
ma-50	166	6	1−	1−	NUM
ma-50	166	7	αn	αn	NOUN
ma-50	166	8	,	,	PUNCT
ma-50	166	9	i)‖γ`2y2n	i)‖γ`2y2n	PROPN
ma-50	166	10	−	−	PROPN
ma-50	166	11	γ`2q‖2	γ`2q‖2	PROPN
ma-50	166	12	≤	≤	NUM
ma-50	166	13	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	166	14	−	−	PUNCT
ma-50	166	15	q‖2	q‖2	PROPN
ma-50	167	1	+	+	CCONJ
ma-50	167	2	`	`	PUNCT
ma-50	167	3	2∑	2∑	NUM
ma-50	167	4	j=2	j=2	NOUN
ma-50	167	5	αn	αn	NOUN
ma-50	167	6	,	,	PUNCT
ma-50	167	7	j(ρ	j(ρ	PROPN
ma-50	167	8	j)2	j)2	VERB
ma-50	167	9	j−1∏	j−1∏	ADP
ma-50	167	10	i=1	i=1	PROPN
ma-50	167	11	(	(	PUNCT
ma-50	167	12	1−	1−	NUM
ma-50	167	13	αn	αn	NOUN
ma-50	167	14	,	,	PUNCT
ma-50	167	15	i)‖y2n	i)‖y2n	NOUN
ma-50	167	16	−	−	PROPN
ma-50	168	1	q‖2	q‖2	PROPN
ma-50	168	2	+	+	CCONJ
ma-50	168	3	`	`	PUNCT
ma-50	168	4	2∏	2∏	NUM
ma-50	168	5	i=1	i=1	PROPN
ma-50	168	6	(	(	PUNCT
ma-50	168	7	1−	1−	NUM
ma-50	168	8	αn	αn	NOUN
ma-50	168	9	,	,	PUNCT
ma-50	168	10	i)(ρj)2‖y2n	i)(ρj)2‖y2n	VERB
ma-50	168	11	−	−	PROPN
ma-50	168	12	q‖2	q‖2	VERB
ma-50	168	13	≤	≤	NUM
ma-50	168	14	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	168	15	−	−	PROPN
ma-50	169	1	q‖2	q‖2	PROPN
ma-50	170	1	+	+	CCONJ
ma-50	171	1	`	`	PUNCT
ma-50	171	2	2∑	2∑	NUM
ma-50	171	3	j=2	j=2	PROPN
ma-50	171	4	α1n	α1n	PROPN
ma-50	171	5	,	,	PUNCT
ma-50	171	6	j(ρ	j(ρ	PROPN
ma-50	171	7	j)2	j)2	VERB
ma-50	171	8	j−1∏	j−1∏	ADP
ma-50	171	9	i=1	i=1	PROPN
ma-50	171	10	(	(	PUNCT
ma-50	171	11	1−	1−	NUM
ma-50	171	12	α1n	α1n	PROPN
ma-50	171	13	,	,	PUNCT
ma-50	171	14	i	i	NOUN
ma-50	171	15	)	)	PUNCT
ma-50	171	16	[	[	PUNCT
ma-50	171	17	α2n,1‖xn	α2n,1‖xn	NUM
ma-50	171	18	−	−	X
ma-50	171	19	q‖2	q‖2	PROPN
ma-50	171	20	+	+	CCONJ
ma-50	171	21	`	`	PUNCT
ma-50	171	22	3∑	3∑	NUM
ma-50	171	23	j=2	j=2	PROPN
ma-50	171	24	α2n	α2n	PROPN
ma-50	171	25	,	,	PUNCT
ma-50	171	26	j(ρ	j(ρ	PROPN
ma-50	171	27	j)2	j)2	VERB
ma-50	171	28	j−1∏	j−1∏	ADP
ma-50	171	29	i=1	i=1	PROPN
ma-50	171	30	(	(	PUNCT
ma-50	171	31	1−	1−	NUM
ma-50	171	32	α2n	α2n	PROPN
ma-50	171	33	,	,	PUNCT
ma-50	171	34	i)‖y3n	i)‖y3n	VERB
ma-50	171	35	−	−	PROPN
ma-50	171	36	q‖2	q‖2	VERB
ma-50	171	37	+	+	CCONJ
ma-50	171	38	`	`	PUNCT
ma-50	171	39	3∏	3∏	NUM
ma-50	171	40	i=1	i=1	X
ma-50	171	41	(	(	PUNCT
ma-50	171	42	1−	1−	NUM
ma-50	171	43	α2n	α2n	PROPN
ma-50	171	44	,	,	PUNCT
ma-50	171	45	i)(ρj)2‖y3n	i)(ρj)2‖y3n	VERB
ma-50	171	46	−	−	PROPN
ma-50	171	47	q‖2	q‖2	VERB
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ma-50	172	1	+	+	CCONJ
ma-50	172	2	`	`	PUNCT
ma-50	172	3	2∏	2∏	NUM
ma-50	172	4	i=1	i=1	PROPN
ma-50	172	5	(	(	PUNCT
ma-50	172	6	1−	1−	NUM
ma-50	172	7	α1n	α1n	NOUN
ma-50	172	8	,	,	PUNCT
ma-50	172	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	172	10	[	[	PUNCT
ma-50	172	11	α2n,1‖xn	α2n,1‖xn	NUM
ma-50	172	12	−	−	X
ma-50	172	13	q‖2	q‖2	PROPN
ma-50	172	14	+	+	CCONJ
ma-50	172	15	`	`	PUNCT
ma-50	172	16	3∑	3∑	NUM
ma-50	172	17	j=2	j=2	PROPN
ma-50	172	18	α2n	α2n	PROPN
ma-50	172	19	,	,	PUNCT
ma-50	172	20	j(ρ	j(ρ	PROPN
ma-50	172	21	j)2	j)2	VERB
ma-50	172	22	j−1∏	j−1∏	ADP
ma-50	172	23	i=1	i=1	PROPN
ma-50	172	24	(	(	PUNCT
ma-50	172	25	1−	1−	NUM
ma-50	172	26	α2n	α2n	PROPN
ma-50	172	27	,	,	PUNCT
ma-50	172	28	i)‖y3n	i)‖y3n	VERB
ma-50	172	29	−	−	PROPN
ma-50	172	30	q‖2	q‖2	VERB
ma-50	172	31	+	+	CCONJ
ma-50	172	32	`	`	PUNCT
ma-50	172	33	3∏	3∏	NUM
ma-50	172	34	i=1	i=1	X
ma-50	172	35	(	(	PUNCT
ma-50	172	36	1−	1−	NUM
ma-50	172	37	α2n	α2n	PROPN
ma-50	172	38	,	,	PUNCT
ma-50	172	39	i)(ρj)2‖y3n	i)(ρj)2‖y3n	VERB
ma-50	172	40	−	−	PROPN
ma-50	172	41	q‖2	q‖2	PROPN
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ma-50	172	45	.	.	PUNCT
ma-50	173	1	j.	j.	PROPN
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ma-50	173	3	.	.	PUNCT
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ma-50	174	2	.	.	PUNCT
ma-50	175	1	10.28924	10.28924	NUM
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ma-50	175	4	/	/	SYM
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ma-50	175	6	8	8	NUM
ma-50	175	7	=	=	SYM
ma-50	175	8	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	175	9	−	−	NOUN
ma-50	175	10	q‖2	q‖2	PROPN
ma-50	175	11	+	+	CCONJ
ma-50	175	12	`	`	PUNCT
ma-50	175	13	2∑	2∑	NUM
ma-50	175	14	j=2	j=2	PROPN
ma-50	175	15	α1n	α1n	PROPN
ma-50	175	16	,	,	PUNCT
ma-50	175	17	j(ρ	j(ρ	PROPN
ma-50	175	18	j)2	j)2	VERB
ma-50	175	19	j−1∏	j−1∏	ADP
ma-50	175	20	i=1	i=1	PROPN
ma-50	175	21	(	(	PUNCT
ma-50	175	22	1−	1−	NUM
ma-50	175	23	α1n	α1n	PROPN
ma-50	175	24	,	,	PUNCT
ma-50	175	25	i)α2n,1‖xn	i)α2n,1‖xn	PROPN
ma-50	175	26	−	−	PROPN
ma-50	175	27	q‖2	q‖2	VERB
ma-50	176	1	+	+	CCONJ
ma-50	176	2	(	(	PUNCT
ma-50	176	3	`	`	PUNCT
ma-50	176	4	2∑	2∑	X
ma-50	176	5	j=2	j=2	X
ma-50	176	6	α1n	α1n	PROPN
ma-50	176	7	,	,	PUNCT
ma-50	176	8	j(ρ	j(ρ	PROPN
ma-50	176	9	j)2	j)2	VERB
ma-50	176	10	j−1∏	j−1∏	ADP
ma-50	176	11	i=1	i=1	PROPN
ma-50	176	12	(	(	PUNCT
ma-50	176	13	1−	1−	NUM
ma-50	176	14	α1n	α1n	PROPN
ma-50	176	15	,	,	PUNCT
ma-50	176	16	i	i	NOUN
ma-50	176	17	)	)	PUNCT
ma-50	176	18	)	)	PUNCT
ma-50	177	1			PROPN
ma-50	177	2	`	`	PUNCT
ma-50	177	3	3∑	3∑	PROPN
ma-50	177	4	j=2	j=2	PROPN
ma-50	177	5	α2n	α2n	PROPN
ma-50	177	6	,	,	PUNCT
ma-50	177	7	j(ρ	j(ρ	PROPN
ma-50	177	8	j)2	j)2	VERB
ma-50	177	9	j−1∏	j−1∏	ADP
ma-50	177	10	i=1	i=1	PROPN
ma-50	177	11	(	(	PUNCT
ma-50	177	12	1−	1−	NUM
ma-50	177	13	α2n	α2n	PROPN
ma-50	177	14	,	,	PUNCT
ma-50	177	15	i	i	PRON
ma-50	177	16	)	)	PUNCT
ma-50	178	1			PROPN
ma-50	178	2	‖y3n	‖y3n	PROPN
ma-50	178	3	−	−	PROPN
ma-50	178	4	q‖2	q‖2	VERB
ma-50	178	5	+	+	CCONJ
ma-50	178	6	(	(	PUNCT
ma-50	178	7	`	`	PUNCT
ma-50	178	8	2∑	2∑	X
ma-50	178	9	j=2	j=2	X
ma-50	178	10	α1n	α1n	PROPN
ma-50	178	11	,	,	PUNCT
ma-50	178	12	j(ρ	j(ρ	PROPN
ma-50	178	13	j)2	j)2	VERB
ma-50	178	14	j−1∏	j−1∏	ADP
ma-50	178	15	i=1	i=1	PROPN
ma-50	179	1	(	(	PUNCT
ma-50	179	2	1−	1−	NUM
ma-50	179	3	α1n	α1n	PROPN
ma-50	179	4	,	,	PUNCT
ma-50	179	5	i	i	NOUN
ma-50	179	6	)	)	PUNCT
ma-50	179	7	)	)	PUNCT
ma-50	180	1	(	(	PUNCT
ma-50	180	2	`	`	PUNCT
ma-50	180	3	3∏	3∏	NUM
ma-50	180	4	i=1	i=1	X
ma-50	180	5	(	(	PUNCT
ma-50	180	6	1−	1−	NUM
ma-50	180	7	α2n	α2n	PROPN
ma-50	180	8	,	,	PUNCT
ma-50	180	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	180	10	)	)	PUNCT
ma-50	180	11	‖y3n	‖y3n	PROPN
ma-50	180	12	−	−	PROPN
ma-50	180	13	q‖2	q‖2	PROPN
ma-50	180	14	+	+	CCONJ
ma-50	181	1	`	`	PUNCT
ma-50	182	1	2∏	2∏	NUM
ma-50	182	2	i=1	i=1	PROPN
ma-50	182	3	(	(	PUNCT
ma-50	182	4	1−	1−	NUM
ma-50	182	5	α1n	α1n	PROPN
ma-50	182	6	,	,	PUNCT
ma-50	182	7	i)(ρj)2α2n,1‖xn	i)(ρj)2α2n,1‖xn	VERB
ma-50	182	8	−	−	PROPN
ma-50	182	9	q‖2	q‖2	VERB
ma-50	183	1	+	+	CCONJ
ma-50	183	2			PROPN
ma-50	183	3	`	`	PUNCT
ma-50	183	4	3∑	3∑	PROPN
ma-50	183	5	j=2	j=2	PROPN
ma-50	183	6	α2n	α2n	PROPN
ma-50	183	7	,	,	PUNCT
ma-50	183	8	j(ρ	j(ρ	PROPN
ma-50	183	9	j)2	j)2	VERB
ma-50	183	10	j−1∏	j−1∏	ADP
ma-50	183	11	i=1	i=1	PROPN
ma-50	183	12	(	(	PUNCT
ma-50	183	13	1−	1−	NUM
ma-50	183	14	α2n	α2n	PROPN
ma-50	183	15	,	,	PUNCT
ma-50	183	16	i	i	NOUN
ma-50	183	17	)	)	PUNCT
ma-50	183	18			PROPN
ma-50	183	19	(	(	PUNCT
ma-50	183	20	`	`	PUNCT
ma-50	183	21	2∏	2∏	NUM
ma-50	183	22	i=1	i=1	PROPN
ma-50	183	23	(	(	PUNCT
ma-50	183	24	1−	1−	NUM
ma-50	183	25	α1n	α1n	NOUN
ma-50	183	26	,	,	PUNCT
ma-50	183	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	183	28	)	)	PUNCT
ma-50	183	29	‖y3n	‖y3n	PROPN
ma-50	183	30	−	−	PROPN
ma-50	183	31	q‖2	q‖2	PROPN
ma-50	184	1	+	+	CCONJ
ma-50	184	2	(	(	PUNCT
ma-50	184	3	`	`	PUNCT
ma-50	184	4	3∏	3∏	NUM
ma-50	184	5	i=1	i=1	X
ma-50	184	6	(	(	PUNCT
ma-50	184	7	1−	1−	NUM
ma-50	184	8	α2n	α2n	PROPN
ma-50	184	9	,	,	PUNCT
ma-50	184	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	184	11	)	)	PUNCT
ma-50	184	12	(	(	PUNCT
ma-50	184	13	`	`	PUNCT
ma-50	184	14	2∏	2∏	NUM
ma-50	184	15	i=1	i=1	PROPN
ma-50	184	16	(	(	PUNCT
ma-50	184	17	1−	1−	NUM
ma-50	184	18	α1n	α1n	NOUN
ma-50	184	19	,	,	PUNCT
ma-50	184	20	i)(ρj)2	i)(ρj)2	ADJ
ma-50	184	21	)	)	PUNCT
ma-50	184	22	‖y3n	‖y3n	PROPN
ma-50	184	23	−	−	PROPN
ma-50	184	24	q‖2	q‖2	VERB
ma-50	184	25	≤	≤	NUM
ma-50	184	26	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	184	27	−	−	PROPN
ma-50	185	1	q‖2	q‖2	PROPN
ma-50	186	1	+	+	CCONJ
ma-50	187	1	`	`	PUNCT
ma-50	187	2	2∑	2∑	NUM
ma-50	187	3	j=2	j=2	PROPN
ma-50	187	4	α1n	α1n	PROPN
ma-50	187	5	,	,	PUNCT
ma-50	187	6	j(ρ	j(ρ	PROPN
ma-50	187	7	j)2	j)2	VERB
ma-50	187	8	j−1∏	j−1∏	ADP
ma-50	187	9	i=1	i=1	PROPN
ma-50	187	10	(	(	PUNCT
ma-50	187	11	1−	1−	NUM
ma-50	187	12	α1n	α1n	PROPN
ma-50	187	13	,	,	PUNCT
ma-50	187	14	i)α2n,1‖xn	i)α2n,1‖xn	PROPN
ma-50	187	15	−	−	PROPN
ma-50	187	16	q‖2	q‖2	VERB
ma-50	188	1	+	+	CCONJ
ma-50	188	2	`	`	PUNCT
ma-50	188	3	2∏	2∏	NUM
ma-50	188	4	i=1	i=1	PROPN
ma-50	188	5	(	(	PUNCT
ma-50	188	6	1−	1−	NUM
ma-50	188	7	α1n	α1n	PROPN
ma-50	188	8	,	,	PUNCT
ma-50	188	9	i)(ρj)2α2n,1‖xn	i)(ρj)2α2n,1‖xn	VERB
ma-50	188	10	−	−	PROPN
ma-50	188	11	q‖2	q‖2	VERB
ma-50	188	12	+	+	CCONJ
ma-50	188	13	(	(	PUNCT
ma-50	188	14	`	`	PUNCT
ma-50	188	15	2∑	2∑	X
ma-50	188	16	j=2	j=2	X
ma-50	188	17	α1n	α1n	PROPN
ma-50	188	18	,	,	PUNCT
ma-50	188	19	j(ρ	j(ρ	PROPN
ma-50	188	20	j)2	j)2	VERB
ma-50	189	1	j−1∏	j−1∏	ADP
ma-50	189	2	i=1	i=1	PROPN
ma-50	190	1	(	(	PUNCT
ma-50	190	2	1−	1−	NUM
ma-50	190	3	α1n	α1n	PROPN
ma-50	190	4	,	,	PUNCT
ma-50	190	5	i	i	NOUN
ma-50	190	6	)	)	PUNCT
ma-50	190	7	)	)	PUNCT
ma-50	191	1			PROPN
ma-50	191	2	`	`	PUNCT
ma-50	191	3	3∑	3∑	PROPN
ma-50	191	4	j=2	j=2	PROPN
ma-50	191	5	α2n	α2n	PROPN
ma-50	191	6	,	,	PUNCT
ma-50	191	7	j(ρ	j(ρ	PROPN
ma-50	191	8	j)2	j)2	VERB
ma-50	191	9	j−1∏	j−1∏	ADP
ma-50	191	10	i=1	i=1	PROPN
ma-50	191	11	(	(	PUNCT
ma-50	191	12	1−	1−	NUM
ma-50	191	13	α2n	α2n	PROPN
ma-50	191	14	,	,	PUNCT
ma-50	191	15	i	i	PROPN
ma-50	191	16	)	)	PUNCT
ma-50	191	17	[α3n,1‖xn	[α3n,1‖xn	PROPN
ma-50	191	18	−	−	PROPN
ma-50	192	1	q‖2	q‖2	PROPN
ma-50	192	2	+	+	CCONJ
ma-50	192	3	`	`	PUNCT
ma-50	192	4	4∑	4∑	NUM
ma-50	192	5	j=2	j=2	PROPN
ma-50	192	6	α3n	α3n	PROPN
ma-50	192	7	,	,	PUNCT
ma-50	192	8	j(ρ	j(ρ	PROPN
ma-50	192	9	j)2	j)2	VERB
ma-50	192	10	j−1∏	j−1∏	ADP
ma-50	192	11	i=1	i=1	PROPN
ma-50	192	12	(	(	PUNCT
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ma-50	192	17	−	−	PROPN
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ma-50	193	1	+	+	CCONJ
ma-50	193	2	`	`	PUNCT
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ma-50	194	1	i=1	i=1	X
ma-50	194	2	(	(	PUNCT
ma-50	194	3	1−	1−	NUM
ma-50	194	4	α4n	α4n	NUM
ma-50	194	5	,	,	PUNCT
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ma-50	194	7	−	−	PROPN
ma-50	194	8	q‖2	q‖2	VERB
ma-50	194	9	]	]	PUNCT
ma-50	195	1	+	+	CCONJ
ma-50	195	2	(	(	PUNCT
ma-50	195	3	`	`	PUNCT
ma-50	195	4	2∑	2∑	X
ma-50	195	5	j=2	j=2	X
ma-50	195	6	α1n	α1n	PROPN
ma-50	195	7	,	,	PUNCT
ma-50	195	8	j(ρ	j(ρ	PROPN
ma-50	195	9	j)2	j)2	VERB
ma-50	195	10	j−1∏	j−1∏	ADP
ma-50	195	11	i=1	i=1	PROPN
ma-50	195	12	(	(	PUNCT
ma-50	195	13	1−	1−	NUM
ma-50	195	14	α1n	α1n	PROPN
ma-50	195	15	,	,	PUNCT
ma-50	195	16	i	i	NOUN
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ma-50	195	18	)	)	PUNCT
ma-50	195	19	(	(	PUNCT
ma-50	195	20	`	`	PUNCT
ma-50	195	21	3∏	3∏	NUM
ma-50	195	22	i=1	i=1	X
ma-50	195	23	(	(	PUNCT
ma-50	195	24	1−	1−	NUM
ma-50	195	25	α2n	α2n	PROPN
ma-50	195	26	,	,	PUNCT
ma-50	195	27	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	195	31	−	−	PROPN
ma-50	195	32	q‖2	q‖2	PROPN
ma-50	195	33	+	+	CCONJ
ma-50	195	34	`	`	PUNCT
ma-50	195	35	4∑	4∑	NUM
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ma-50	195	37	α3n	α3n	PROPN
ma-50	195	38	,	,	PUNCT
ma-50	195	39	j(ρ	j(ρ	PROPN
ma-50	195	40	j)2	j)2	VERB
ma-50	195	41	j−1∏	j−1∏	ADP
ma-50	195	42	i=1	i=1	PROPN
ma-50	195	43	(	(	PUNCT
ma-50	195	44	1−	1−	NUM
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ma-50	195	46	,	,	PUNCT
ma-50	195	47	i)‖y4n	i)‖y4n	VERB
ma-50	195	48	−	−	PROPN
ma-50	195	49	q‖2	q‖2	NOUN
ma-50	196	1	+	+	CCONJ
ma-50	196	2	`	`	PUNCT
ma-50	196	3	4∏	4∏	NUM
ma-50	197	1	i=1	i=1	X
ma-50	197	2	(	(	PUNCT
ma-50	197	3	1−	1−	NUM
ma-50	197	4	α4n	α4n	NUM
ma-50	197	5	,	,	PUNCT
ma-50	197	6	i)(ρj)2‖y4n	i)(ρj)2‖y4n	ADP
ma-50	197	7	−	−	PROPN
ma-50	197	8	q‖2	q‖2	VERB
ma-50	197	9	]	]	PUNCT
ma-50	198	1	+	+	CCONJ
ma-50	198	2			PROPN
ma-50	198	3	`	`	PUNCT
ma-50	198	4	3∑	3∑	PROPN
ma-50	198	5	j=2	j=2	PROPN
ma-50	198	6	α2n	α2n	PROPN
ma-50	198	7	,	,	PUNCT
ma-50	198	8	j(ρ	j(ρ	PROPN
ma-50	198	9	j)2	j)2	VERB
ma-50	198	10	j−1∏	j−1∏	ADP
ma-50	198	11	i=1	i=1	PROPN
ma-50	198	12	(	(	PUNCT
ma-50	198	13	1−	1−	NUM
ma-50	198	14	α2n	α2n	PROPN
ma-50	198	15	,	,	PUNCT
ma-50	198	16	i	i	NOUN
ma-50	198	17	)	)	PUNCT
ma-50	198	18			PROPN
ma-50	198	19	(	(	PUNCT
ma-50	198	20	`	`	PUNCT
ma-50	198	21	2∏	2∏	NUM
ma-50	198	22	i=1	i=1	PROPN
ma-50	198	23	(	(	PUNCT
ma-50	198	24	1−	1−	NUM
ma-50	198	25	α1n	α1n	NOUN
ma-50	198	26	,	,	PUNCT
ma-50	198	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	198	28	)	)	PUNCT
ma-50	198	29	[	[	PUNCT
ma-50	198	30	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	198	31	−	−	PROPN
ma-50	198	32	q‖2	q‖2	PROPN
ma-50	198	33	+	+	CCONJ
ma-50	198	34	`	`	PUNCT
ma-50	198	35	4∑	4∑	NUM
ma-50	198	36	j=2	j=2	PROPN
ma-50	198	37	α3n	α3n	PROPN
ma-50	198	38	,	,	PUNCT
ma-50	198	39	j(ρ	j(ρ	PROPN
ma-50	198	40	j)2	j)2	VERB
ma-50	198	41	j−1∏	j−1∏	ADP
ma-50	198	42	i=1	i=1	PROPN
ma-50	198	43	(	(	PUNCT
ma-50	198	44	1−	1−	NUM
ma-50	198	45	α3n	α3n	PROPN
ma-50	198	46	,	,	PUNCT
ma-50	198	47	i)‖y4n	i)‖y4n	VERB
ma-50	198	48	−	−	PROPN
ma-50	198	49	q‖2	q‖2	NOUN
ma-50	199	1	+	+	CCONJ
ma-50	199	2	`	`	PUNCT
ma-50	199	3	4∏	4∏	NUM
ma-50	200	1	i=1	i=1	X
ma-50	200	2	(	(	PUNCT
ma-50	200	3	1−	1−	NUM
ma-50	200	4	α4n	α4n	NUM
ma-50	200	5	,	,	PUNCT
ma-50	200	6	i)(ρj)2‖y4n	i)(ρj)2‖y4n	ADP
ma-50	200	7	−	−	PROPN
ma-50	200	8	q‖2	q‖2	VERB
ma-50	200	9	]	]	PUNCT
ma-50	201	1	+	+	CCONJ
ma-50	201	2	(	(	PUNCT
ma-50	201	3	`	`	PUNCT
ma-50	201	4	3∏	3∏	NUM
ma-50	201	5	i=1	i=1	X
ma-50	201	6	(	(	PUNCT
ma-50	201	7	1−	1−	NUM
ma-50	201	8	α2n	α2n	PROPN
ma-50	201	9	,	,	PUNCT
ma-50	201	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	201	11	)	)	PUNCT
ma-50	201	12	(	(	PUNCT
ma-50	201	13	`	`	PUNCT
ma-50	201	14	2∏	2∏	NUM
ma-50	201	15	i=1	i=1	PROPN
ma-50	201	16	(	(	PUNCT
ma-50	201	17	1−	1−	NUM
ma-50	201	18	α1n	α1n	NOUN
ma-50	201	19	,	,	PUNCT
ma-50	201	20	i)(ρj)2	i)(ρj)2	ADJ
ma-50	201	21	)	)	PUNCT
ma-50	201	22	[	[	PUNCT
ma-50	201	23	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	201	24	−	−	PROPN
ma-50	201	25	q‖2	q‖2	PROPN
ma-50	201	26	+	+	CCONJ
ma-50	201	27	`	`	PUNCT
ma-50	201	28	4∑	4∑	NUM
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ma-50	201	30	α3n	α3n	PROPN
ma-50	201	31	,	,	PUNCT
ma-50	201	32	j(ρ	j(ρ	PROPN
ma-50	201	33	j)2	j)2	VERB
ma-50	201	34	j−1∏	j−1∏	ADP
ma-50	201	35	i=1	i=1	PROPN
ma-50	201	36	(	(	PUNCT
ma-50	201	37	1−	1−	NUM
ma-50	201	38	α3n	α3n	PROPN
ma-50	201	39	,	,	PUNCT
ma-50	201	40	i)‖y4n	i)‖y4n	VERB
ma-50	201	41	−	−	PROPN
ma-50	201	42	q‖2	q‖2	NOUN
ma-50	202	1	+	+	CCONJ
ma-50	202	2	`	`	PUNCT
ma-50	202	3	4∏	4∏	NUM
ma-50	203	1	i=1	i=1	X
ma-50	203	2	(	(	PUNCT
ma-50	203	3	1−	1−	NUM
ma-50	203	4	α4n	α4n	NUM
ma-50	203	5	,	,	PUNCT
ma-50	203	6	i)(ρj)2‖y4n	i)(ρj)2‖y4n	ADP
ma-50	203	7	−	−	PROPN
ma-50	203	8	q‖2	q‖2	VERB
ma-50	203	9	]	]	PUNCT
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ma-50	203	12	.	.	PUNCT
ma-50	204	1	j.	j.	PROPN
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ma-50	204	3	.	.	PUNCT
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ma-50	205	2	.	.	PUNCT
ma-50	206	1	10.28924	10.28924	NUM
ma-50	206	2	/	/	SYM
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ma-50	206	4	/	/	SYM
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ma-50	206	6	9	9	NUM
ma-50	206	7	=	=	SYM
ma-50	206	8	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	206	9	−	−	NOUN
ma-50	206	10	q‖2	q‖2	PROPN
ma-50	206	11	+	+	CCONJ
ma-50	206	12	`	`	PUNCT
ma-50	206	13	2∑	2∑	NUM
ma-50	206	14	j=2	j=2	PROPN
ma-50	206	15	α1n	α1n	PROPN
ma-50	206	16	,	,	PUNCT
ma-50	206	17	j(ρ	j(ρ	PROPN
ma-50	206	18	j)2	j)2	VERB
ma-50	206	19	j−1∏	j−1∏	ADP
ma-50	206	20	i=1	i=1	PROPN
ma-50	206	21	(	(	PUNCT
ma-50	206	22	1−	1−	NUM
ma-50	206	23	α1n	α1n	PROPN
ma-50	206	24	,	,	PUNCT
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ma-50	206	27	q‖2	q‖2	VERB
ma-50	207	1	+	+	CCONJ
ma-50	207	2	`	`	PUNCT
ma-50	207	3	2∏	2∏	NUM
ma-50	207	4	i=1	i=1	PROPN
ma-50	207	5	(	(	PUNCT
ma-50	207	6	1−	1−	NUM
ma-50	207	7	α1n	α1n	PROPN
ma-50	207	8	,	,	PUNCT
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ma-50	207	10	−	−	PROPN
ma-50	207	11	q‖2	q‖2	VERB
ma-50	207	12	+	+	CCONJ
ma-50	207	13	(	(	PUNCT
ma-50	207	14	`	`	PUNCT
ma-50	207	15	2∑	2∑	X
ma-50	207	16	j=2	j=2	X
ma-50	207	17	α1n	α1n	PROPN
ma-50	207	18	,	,	PUNCT
ma-50	207	19	j(ρ	j(ρ	PROPN
ma-50	207	20	j)2	j)2	VERB
ma-50	208	1	j−1∏	j−1∏	ADP
ma-50	208	2	i=1	i=1	PROPN
ma-50	209	1	(	(	PUNCT
ma-50	209	2	1−	1−	NUM
ma-50	209	3	α1n	α1n	PROPN
ma-50	209	4	,	,	PUNCT
ma-50	209	5	i	i	NOUN
ma-50	209	6	)	)	PUNCT
ma-50	209	7	)	)	PUNCT
ma-50	210	1			PROPN
ma-50	210	2	`	`	PUNCT
ma-50	210	3	3∑	3∑	PROPN
ma-50	210	4	j=2	j=2	PROPN
ma-50	210	5	α2n	α2n	PROPN
ma-50	210	6	,	,	PUNCT
ma-50	210	7	j(ρ	j(ρ	PROPN
ma-50	210	8	j)2	j)2	VERB
ma-50	210	9	j−1∏	j−1∏	ADP
ma-50	210	10	i=1	i=1	PROPN
ma-50	210	11	(	(	PUNCT
ma-50	210	12	1−	1−	NUM
ma-50	210	13	α2n	α2n	PROPN
ma-50	210	14	,	,	PUNCT
ma-50	210	15	i	i	NOUN
ma-50	210	16	)	)	PUNCT
ma-50	210	17	α3n,1‖xn	α3n,1‖xn	PUNCT
ma-50	211	1	−	−	PROPN
ma-50	211	2	q‖2	q‖2	PROPN
ma-50	211	3	+	+	CCONJ
ma-50	211	4	(	(	PUNCT
ma-50	211	5	`	`	PUNCT
ma-50	211	6	2∑	2∑	X
ma-50	211	7	j=2	j=2	X
ma-50	211	8	α1n	α1n	PROPN
ma-50	211	9	,	,	PUNCT
ma-50	211	10	j(ρ	j(ρ	PROPN
ma-50	211	11	j)2	j)2	VERB
ma-50	212	1	j−1∏	j−1∏	ADP
ma-50	212	2	i=1	i=1	PROPN
ma-50	213	1	(	(	PUNCT
ma-50	213	2	1−	1−	NUM
ma-50	213	3	α1n	α1n	PROPN
ma-50	213	4	,	,	PUNCT
ma-50	213	5	i	i	NOUN
ma-50	213	6	)	)	PUNCT
ma-50	213	7	)	)	PUNCT
ma-50	214	1			PROPN
ma-50	214	2	`	`	PUNCT
ma-50	214	3	3∑	3∑	PROPN
ma-50	214	4	j=2	j=2	PROPN
ma-50	214	5	α2n	α2n	PROPN
ma-50	214	6	,	,	PUNCT
ma-50	214	7	j(ρ	j(ρ	PROPN
ma-50	214	8	j)2	j)2	VERB
ma-50	214	9	j−1∏	j−1∏	ADP
ma-50	214	10	i=1	i=1	PROPN
ma-50	214	11	(	(	PUNCT
ma-50	214	12	1−	1−	NUM
ma-50	214	13	α2n	α2n	PROPN
ma-50	214	14	,	,	PUNCT
ma-50	214	15	i	i	PRON
ma-50	214	16	)	)	PUNCT
ma-50	215	1			PROPN
ma-50	215	2	×	×	NOUN
ma-50	215	3			PROPN
ma-50	215	4	`	`	PUNCT
ma-50	215	5	4∑	4∑	PROPN
ma-50	215	6	j=2	j=2	PROPN
ma-50	215	7	α3n	α3n	PROPN
ma-50	215	8	,	,	PUNCT
ma-50	215	9	j(ρ	j(ρ	PROPN
ma-50	215	10	j)2	j)2	VERB
ma-50	215	11	j−1∏	j−1∏	ADP
ma-50	215	12	i=1	i=1	PROPN
ma-50	215	13	(	(	PUNCT
ma-50	215	14	1−	1−	NUM
ma-50	215	15	α3n	α3n	PROPN
ma-50	215	16	,	,	PUNCT
ma-50	215	17	i	i	NOUN
ma-50	215	18	)	)	PUNCT
ma-50	215	19			PROPN
ma-50	215	20	‖y4n	‖y4n	PROPN
ma-50	215	21	−	−	NOUN
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ma-50	215	23	+	+	CCONJ
ma-50	215	24	(	(	PUNCT
ma-50	215	25	`	`	PUNCT
ma-50	215	26	2∑	2∑	X
ma-50	215	27	j=2	j=2	X
ma-50	215	28	α1n	α1n	PROPN
ma-50	215	29	,	,	PUNCT
ma-50	215	30	j(ρ	j(ρ	PROPN
ma-50	215	31	j)2	j)2	VERB
ma-50	215	32	j−1∏	j−1∏	ADP
ma-50	215	33	i=1	i=1	PROPN
ma-50	215	34	(	(	PUNCT
ma-50	215	35	1−	1−	NUM
ma-50	215	36	α1n	α1n	PROPN
ma-50	215	37	,	,	PUNCT
ma-50	215	38	i	i	NOUN
ma-50	215	39	)	)	PUNCT
ma-50	215	40	)	)	PUNCT
ma-50	216	1	×	×	PROPN
ma-50	216	2			PROPN
ma-50	216	3	`	`	PUNCT
ma-50	216	4	3∑	3∑	PROPN
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ma-50	216	7	,	,	PUNCT
ma-50	216	8	j(ρ	j(ρ	PROPN
ma-50	216	9	j)2	j)2	VERB
ma-50	216	10	j−1∏	j−1∏	ADP
ma-50	216	11	i=1	i=1	PROPN
ma-50	216	12	(	(	PUNCT
ma-50	216	13	1−	1−	NUM
ma-50	216	14	α2n	α2n	PROPN
ma-50	216	15	,	,	PUNCT
ma-50	216	16	i	i	NOUN
ma-50	216	17	)	)	PUNCT
ma-50	216	18			PROPN
ma-50	216	19	(	(	PUNCT
ma-50	216	20	`	`	PUNCT
ma-50	216	21	4∏	4∏	NUM
ma-50	216	22	i=1	i=1	X
ma-50	216	23	(	(	PUNCT
ma-50	216	24	1−	1−	NUM
ma-50	216	25	α4n	α4n	NUM
ma-50	216	26	,	,	PUNCT
ma-50	216	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	216	28	)	)	PUNCT
ma-50	216	29	‖y4n	‖y4n	PROPN
ma-50	216	30	−	−	NOUN
ma-50	217	1	q‖2	q‖2	PROPN
ma-50	218	1	+	+	CCONJ
ma-50	218	2	(	(	PUNCT
ma-50	218	3	`	`	PUNCT
ma-50	218	4	2∑	2∑	X
ma-50	218	5	j=2	j=2	X
ma-50	218	6	α1n	α1n	PROPN
ma-50	218	7	,	,	PUNCT
ma-50	218	8	j(ρ	j(ρ	PROPN
ma-50	218	9	j)2	j)2	VERB
ma-50	218	10	j−1∏	j−1∏	ADP
ma-50	218	11	i=1	i=1	PROPN
ma-50	218	12	(	(	PUNCT
ma-50	218	13	1−	1−	NUM
ma-50	218	14	α1n	α1n	PROPN
ma-50	218	15	,	,	PUNCT
ma-50	218	16	i	i	NOUN
ma-50	218	17	)	)	PUNCT
ma-50	218	18	)	)	PUNCT
ma-50	218	19	(	(	PUNCT
ma-50	218	20	`	`	PUNCT
ma-50	218	21	3∏	3∏	NUM
ma-50	218	22	i=1	i=1	X
ma-50	218	23	(	(	PUNCT
ma-50	218	24	1−	1−	NUM
ma-50	218	25	α2n	α2n	PROPN
ma-50	218	26	,	,	PUNCT
ma-50	218	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	218	28	)	)	PUNCT
ma-50	218	29	‖xn	‖xn	PROPN
ma-50	218	30	−	−	PROPN
ma-50	218	31	q‖2	q‖2	PROPN
ma-50	218	32	+	+	CCONJ
ma-50	218	33	(	(	PUNCT
ma-50	218	34	`	`	PUNCT
ma-50	218	35	2∑	2∑	X
ma-50	218	36	j=2	j=2	X
ma-50	218	37	α1n	α1n	PROPN
ma-50	218	38	,	,	PUNCT
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ma-50	218	42	i=1	i=1	PROPN
ma-50	218	43	(	(	PUNCT
ma-50	218	44	1−	1−	NUM
ma-50	218	45	α1n	α1n	PROPN
ma-50	218	46	,	,	PUNCT
ma-50	218	47	i	i	NOUN
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ma-50	218	49	)	)	PUNCT
ma-50	218	50	(	(	PUNCT
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ma-50	218	52	3∏	3∏	NUM
ma-50	218	53	i=1	i=1	X
ma-50	218	54	(	(	PUNCT
ma-50	218	55	1−	1−	NUM
ma-50	218	56	α2n	α2n	PROPN
ma-50	218	57	,	,	PUNCT
ma-50	218	58	i)(ρj)2	i)(ρj)2	ADJ
ma-50	218	59	)	)	PUNCT
ma-50	218	60			PROPN
ma-50	218	61	`	`	PUNCT
ma-50	218	62	4∑	4∑	NUM
ma-50	218	63	j=2	j=2	PROPN
ma-50	218	64	α3n	α3n	PROPN
ma-50	218	65	,	,	PUNCT
ma-50	218	66	j(ρ	j(ρ	PROPN
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ma-50	218	69	i=1	i=1	PROPN
ma-50	218	70	(	(	PUNCT
ma-50	218	71	1−	1−	NUM
ma-50	218	72	α3n	α3n	PROPN
ma-50	218	73	,	,	PUNCT
ma-50	218	74	i	i	NOUN
ma-50	218	75	)	)	PUNCT
ma-50	218	76			PROPN
ma-50	218	77	‖y4n	‖y4n	PROPN
ma-50	218	78	−	−	NOUN
ma-50	218	79	q‖2	q‖2	PROPN
ma-50	219	1	+	+	CCONJ
ma-50	219	2	(	(	PUNCT
ma-50	219	3	`	`	PUNCT
ma-50	219	4	2∑	2∑	X
ma-50	219	5	j=2	j=2	X
ma-50	219	6	α1n	α1n	PROPN
ma-50	219	7	,	,	PUNCT
ma-50	219	8	j(ρ	j(ρ	PROPN
ma-50	219	9	j)2	j)2	VERB
ma-50	219	10	j−1∏	j−1∏	ADP
ma-50	219	11	i=1	i=1	PROPN
ma-50	219	12	(	(	PUNCT
ma-50	219	13	1−	1−	NUM
ma-50	219	14	α1n	α1n	PROPN
ma-50	219	15	,	,	PUNCT
ma-50	219	16	i	i	NOUN
ma-50	219	17	)	)	PUNCT
ma-50	219	18	)	)	PUNCT
ma-50	219	19	(	(	PUNCT
ma-50	219	20	`	`	PUNCT
ma-50	219	21	3∏	3∏	NUM
ma-50	219	22	i=1	i=1	X
ma-50	219	23	(	(	PUNCT
ma-50	219	24	1−	1−	NUM
ma-50	219	25	α2n	α2n	PROPN
ma-50	219	26	,	,	PUNCT
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ma-50	219	28	)	)	PUNCT
ma-50	219	29	(	(	PUNCT
ma-50	219	30	`	`	PUNCT
ma-50	219	31	4∏	4∏	NUM
ma-50	219	32	i=1	i=1	X
ma-50	219	33	(	(	PUNCT
ma-50	219	34	1−	1−	NUM
ma-50	219	35	α4n	α4n	NUM
ma-50	219	36	,	,	PUNCT
ma-50	219	37	i)(ρj)2	i)(ρj)2	ADJ
ma-50	219	38	)	)	PUNCT
ma-50	219	39	‖y4n	‖y4n	PROPN
ma-50	219	40	−	−	NOUN
ma-50	219	41	q‖2	q‖2	NOUN
ma-50	220	1	+	+	CCONJ
ma-50	220	2			PROPN
ma-50	220	3	`	`	PUNCT
ma-50	220	4	3∑	3∑	PROPN
ma-50	220	5	j=2	j=2	PROPN
ma-50	220	6	α2n	α2n	PROPN
ma-50	220	7	,	,	PUNCT
ma-50	220	8	j(ρ	j(ρ	PROPN
ma-50	220	9	j)2	j)2	VERB
ma-50	220	10	j−1∏	j−1∏	ADP
ma-50	220	11	i=1	i=1	PROPN
ma-50	220	12	(	(	PUNCT
ma-50	220	13	1−	1−	NUM
ma-50	220	14	α2n	α2n	PROPN
ma-50	220	15	,	,	PUNCT
ma-50	220	16	i	i	NOUN
ma-50	220	17	)	)	PUNCT
ma-50	220	18			PROPN
ma-50	220	19	(	(	PUNCT
ma-50	220	20	`	`	PUNCT
ma-50	220	21	2∏	2∏	NUM
ma-50	220	22	i=1	i=1	PROPN
ma-50	220	23	(	(	PUNCT
ma-50	220	24	1−	1−	NUM
ma-50	220	25	α1n	α1n	NOUN
ma-50	220	26	,	,	PUNCT
ma-50	220	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	220	28	)	)	PUNCT
ma-50	220	29	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	220	30	−	−	PROPN
ma-50	221	1	q‖2	q‖2	PROPN
ma-50	222	1	+	+	CCONJ
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ma-50	222	3	`	`	PUNCT
ma-50	222	4	3∑	3∑	PROPN
ma-50	222	5	j=2	j=2	PROPN
ma-50	222	6	α2n	α2n	PROPN
ma-50	222	7	,	,	PUNCT
ma-50	222	8	j(ρ	j(ρ	PROPN
ma-50	222	9	j)2	j)2	VERB
ma-50	222	10	j−1∏	j−1∏	ADP
ma-50	222	11	i=1	i=1	PROPN
ma-50	222	12	(	(	PUNCT
ma-50	222	13	1−	1−	NUM
ma-50	222	14	α2n	α2n	PROPN
ma-50	222	15	,	,	PUNCT
ma-50	222	16	i	i	NOUN
ma-50	222	17	)	)	PUNCT
ma-50	222	18			PROPN
ma-50	222	19	(	(	PUNCT
ma-50	222	20	`	`	PUNCT
ma-50	222	21	2∏	2∏	NUM
ma-50	222	22	i=1	i=1	PROPN
ma-50	222	23	(	(	PUNCT
ma-50	222	24	1−	1−	NUM
ma-50	222	25	α1n	α1n	NOUN
ma-50	222	26	,	,	PUNCT
ma-50	222	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	222	28	)	)	PUNCT
ma-50	222	29			PROPN
ma-50	222	30	`	`	PUNCT
ma-50	222	31	4∑	4∑	NUM
ma-50	222	32	j=2	j=2	PROPN
ma-50	222	33	α3n	α3n	PROPN
ma-50	222	34	,	,	PUNCT
ma-50	222	35	j(ρ	j(ρ	PROPN
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ma-50	222	37	j−1∏	j−1∏	ADP
ma-50	222	38	i=1	i=1	PROPN
ma-50	222	39	(	(	PUNCT
ma-50	222	40	1−	1−	NUM
ma-50	222	41	α3n	α3n	PROPN
ma-50	222	42	,	,	PUNCT
ma-50	222	43	i	i	NOUN
ma-50	222	44	)	)	PUNCT
ma-50	222	45			PROPN
ma-50	222	46	‖y4n	‖y4n	PROPN
ma-50	222	47	−	−	NOUN
ma-50	223	1	q‖2	q‖2	NOUN
ma-50	224	1	+	+	CCONJ
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ma-50	224	4	3∑	3∑	PROPN
ma-50	224	5	j=2	j=2	PROPN
ma-50	224	6	α2n	α2n	PROPN
ma-50	224	7	,	,	PUNCT
ma-50	224	8	j(ρ	j(ρ	PROPN
ma-50	224	9	j)2	j)2	VERB
ma-50	224	10	j−1∏	j−1∏	ADP
ma-50	224	11	i=1	i=1	PROPN
ma-50	224	12	(	(	PUNCT
ma-50	224	13	1−	1−	NUM
ma-50	224	14	α2n	α2n	PROPN
ma-50	224	15	,	,	PUNCT
ma-50	224	16	i	i	NOUN
ma-50	224	17	)	)	PUNCT
ma-50	224	18			PROPN
ma-50	224	19	(	(	PUNCT
ma-50	224	20	`	`	PUNCT
ma-50	224	21	2∏	2∏	NUM
ma-50	224	22	i=1	i=1	PROPN
ma-50	224	23	(	(	PUNCT
ma-50	224	24	1−	1−	NUM
ma-50	224	25	α1n	α1n	NOUN
ma-50	224	26	,	,	PUNCT
ma-50	224	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	224	28	)	)	PUNCT
ma-50	224	29	(	(	PUNCT
ma-50	224	30	`	`	PUNCT
ma-50	224	31	4∏	4∏	NUM
ma-50	224	32	i=1	i=1	X
ma-50	224	33	(	(	PUNCT
ma-50	224	34	1−	1−	NUM
ma-50	224	35	α4n	α4n	NUM
ma-50	224	36	,	,	PUNCT
ma-50	224	37	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	224	39	‖y4n	‖y4n	PROPN
ma-50	224	40	−	−	NOUN
ma-50	224	41	q‖2	q‖2	PROPN
ma-50	224	42	+	+	CCONJ
ma-50	224	43	(	(	PUNCT
ma-50	224	44	`	`	PUNCT
ma-50	224	45	3∏	3∏	NUM
ma-50	224	46	i=1	i=1	X
ma-50	224	47	(	(	PUNCT
ma-50	224	48	1−	1−	NUM
ma-50	224	49	α2n	α2n	PROPN
ma-50	224	50	,	,	PUNCT
ma-50	224	51	i)(ρj)2	i)(ρj)2	ADJ
ma-50	224	52	)	)	PUNCT
ma-50	224	53	(	(	PUNCT
ma-50	224	54	`	`	PUNCT
ma-50	224	55	2∏	2∏	NUM
ma-50	224	56	i=1	i=1	PROPN
ma-50	224	57	(	(	PUNCT
ma-50	224	58	1−	1−	NUM
ma-50	224	59	α1n	α1n	NOUN
ma-50	224	60	,	,	PUNCT
ma-50	224	61	i)(ρj)2	i)(ρj)2	ADJ
ma-50	224	62	)	)	PUNCT
ma-50	224	63	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	224	64	−	−	PROPN
ma-50	225	1	q‖2	q‖2	PROPN
ma-50	225	2	+	+	CCONJ
ma-50	225	3	(	(	PUNCT
ma-50	225	4	`	`	PUNCT
ma-50	225	5	3∏	3∏	NUM
ma-50	225	6	i=1	i=1	X
ma-50	225	7	(	(	PUNCT
ma-50	225	8	1−	1−	NUM
ma-50	225	9	α2n	α2n	PROPN
ma-50	225	10	,	,	PUNCT
ma-50	225	11	i)(ρj)2	i)(ρj)2	ADJ
ma-50	225	12	)	)	PUNCT
ma-50	225	13	(	(	PUNCT
ma-50	225	14	`	`	PUNCT
ma-50	225	15	2∏	2∏	NUM
ma-50	225	16	i=1	i=1	PROPN
ma-50	225	17	(	(	PUNCT
ma-50	225	18	1−	1−	NUM
ma-50	225	19	α1n	α1n	NOUN
ma-50	225	20	,	,	PUNCT
ma-50	225	21	i)(ρj)2	i)(ρj)2	ADJ
ma-50	225	22	)	)	PUNCT
ma-50	225	23			PROPN
ma-50	225	24	`	`	PUNCT
ma-50	225	25	4∑	4∑	NUM
ma-50	225	26	j=2	j=2	PROPN
ma-50	225	27	α3n	α3n	PROPN
ma-50	225	28	,	,	PUNCT
ma-50	225	29	j(ρ	j(ρ	PROPN
ma-50	225	30	j)2	j)2	VERB
ma-50	226	1	j−1∏	j−1∏	ADP
ma-50	226	2	i=1	i=1	PROPN
ma-50	226	3	(	(	PUNCT
ma-50	226	4	1−	1−	NUM
ma-50	226	5	α3n	α3n	PROPN
ma-50	226	6	,	,	PUNCT
ma-50	226	7	i	i	NOUN
ma-50	226	8	)	)	PUNCT
ma-50	226	9			PROPN
ma-50	226	10	‖y4n	‖y4n	PROPN
ma-50	226	11	−	−	NOUN
ma-50	227	1	q‖2	q‖2	PROPN
ma-50	228	1	+	+	CCONJ
ma-50	228	2	(	(	PUNCT
ma-50	228	3	`	`	PUNCT
ma-50	228	4	3∏	3∏	NUM
ma-50	228	5	i=1	i=1	X
ma-50	228	6	(	(	PUNCT
ma-50	228	7	1−	1−	NUM
ma-50	228	8	α2n	α2n	PROPN
ma-50	228	9	,	,	PUNCT
ma-50	228	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	228	11	)	)	PUNCT
ma-50	228	12	(	(	PUNCT
ma-50	228	13	`	`	PUNCT
ma-50	228	14	2∏	2∏	NUM
ma-50	228	15	i=1	i=1	PROPN
ma-50	228	16	(	(	PUNCT
ma-50	228	17	1−	1−	NUM
ma-50	228	18	α1n	α1n	NOUN
ma-50	228	19	,	,	PUNCT
ma-50	228	20	i)(ρj)2	i)(ρj)2	ADJ
ma-50	228	21	)	)	PUNCT
ma-50	228	22	(	(	PUNCT
ma-50	228	23	`	`	PUNCT
ma-50	228	24	4∏	4∏	NUM
ma-50	228	25	i=1	i=1	X
ma-50	228	26	(	(	PUNCT
ma-50	228	27	1−	1−	NUM
ma-50	228	28	α4n	α4n	NUM
ma-50	228	29	,	,	PUNCT
ma-50	228	30	i)(ρj)2	i)(ρj)2	ADJ
ma-50	228	31	)	)	PUNCT
ma-50	228	32	‖y4n	‖y4n	PROPN
ma-50	228	33	−	−	NOUN
ma-50	228	34	q‖2	q‖2	PROPN
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ma-50	229	3	.	.	PUNCT
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ma-50	230	2	.	.	PUNCT
ma-50	231	1	10.28924	10.28924	NUM
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ma-50	231	4	/	/	SYM
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ma-50	231	6	10	10	NUM
ma-50	231	7	=	=	SYM
ma-50	231	8	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	231	9	−	−	NOUN
ma-50	231	10	q‖2	q‖2	PROPN
ma-50	231	11	+	+	CCONJ
ma-50	231	12	`	`	PUNCT
ma-50	231	13	2∑	2∑	NUM
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ma-50	231	17	j(ρ	j(ρ	PROPN
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ma-50	231	19	j−1∏	j−1∏	ADP
ma-50	231	20	i=1	i=1	PROPN
ma-50	231	21	(	(	PUNCT
ma-50	231	22	1−	1−	NUM
ma-50	231	23	α1n	α1n	PROPN
ma-50	231	24	,	,	PUNCT
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ma-50	231	27	q‖2	q‖2	VERB
ma-50	232	1	+	+	CCONJ
ma-50	232	2	`	`	PUNCT
ma-50	232	3	2∏	2∏	NUM
ma-50	232	4	i=1	i=1	PROPN
ma-50	232	5	(	(	PUNCT
ma-50	232	6	1−	1−	NUM
ma-50	232	7	α1n	α1n	PROPN
ma-50	232	8	,	,	PUNCT
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ma-50	232	10	−	−	PROPN
ma-50	232	11	q‖2	q‖2	VERB
ma-50	232	12	+	+	CCONJ
ma-50	232	13	(	(	PUNCT
ma-50	232	14	`	`	PUNCT
ma-50	232	15	2∑	2∑	X
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ma-50	232	17	α1n	α1n	PROPN
ma-50	232	18	,	,	PUNCT
ma-50	232	19	j(ρ	j(ρ	PROPN
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ma-50	233	2	i=1	i=1	PROPN
ma-50	234	1	(	(	PUNCT
ma-50	234	2	1−	1−	NUM
ma-50	234	3	α1n	α1n	PROPN
ma-50	234	4	,	,	PUNCT
ma-50	234	5	i	i	NOUN
ma-50	234	6	)	)	PUNCT
ma-50	234	7	)	)	PUNCT
ma-50	235	1			PROPN
ma-50	235	2	`	`	PUNCT
ma-50	235	3	3∑	3∑	PROPN
ma-50	235	4	j=2	j=2	PROPN
ma-50	235	5	α2n	α2n	PROPN
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ma-50	235	7	j(ρ	j(ρ	PROPN
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ma-50	235	10	i=1	i=1	PROPN
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ma-50	235	12	1−	1−	NUM
ma-50	235	13	α2n	α2n	PROPN
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ma-50	235	15	i	i	NOUN
ma-50	235	16	)	)	PUNCT
ma-50	235	17	α3n,1‖xn	α3n,1‖xn	PUNCT
ma-50	236	1	−	−	PROPN
ma-50	236	2	q‖2	q‖2	PROPN
ma-50	236	3	+	+	CCONJ
ma-50	236	4	(	(	PUNCT
ma-50	236	5	`	`	PUNCT
ma-50	236	6	2∑	2∑	X
ma-50	236	7	j=2	j=2	X
ma-50	236	8	α1n	α1n	PROPN
ma-50	236	9	,	,	PUNCT
ma-50	236	10	j(ρ	j(ρ	PROPN
ma-50	236	11	j)2	j)2	VERB
ma-50	237	1	j−1∏	j−1∏	ADP
ma-50	237	2	i=1	i=1	PROPN
ma-50	238	1	(	(	PUNCT
ma-50	238	2	1−	1−	NUM
ma-50	238	3	α1n	α1n	PROPN
ma-50	238	4	,	,	PUNCT
ma-50	238	5	i	i	NOUN
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ma-50	239	1	(	(	PUNCT
ma-50	239	2	`	`	PUNCT
ma-50	239	3	3∏	3∏	NUM
ma-50	239	4	i=1	i=1	X
ma-50	239	5	(	(	PUNCT
ma-50	239	6	1−	1−	NUM
ma-50	239	7	α2n	α2n	PROPN
ma-50	239	8	,	,	PUNCT
ma-50	239	9	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	239	12	−	−	PROPN
ma-50	239	13	q‖2	q‖2	PROPN
ma-50	240	1	+	+	CCONJ
ma-50	240	2			PROPN
ma-50	240	3	`	`	PUNCT
ma-50	240	4	3∑	3∑	PROPN
ma-50	240	5	j=2	j=2	PROPN
ma-50	240	6	α2n	α2n	PROPN
ma-50	240	7	,	,	PUNCT
ma-50	240	8	j(ρ	j(ρ	PROPN
ma-50	240	9	j)2	j)2	VERB
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ma-50	240	14	α2n	α2n	PROPN
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ma-50	240	19	(	(	PUNCT
ma-50	240	20	`	`	PUNCT
ma-50	240	21	2∏	2∏	NUM
ma-50	240	22	i=1	i=1	PROPN
ma-50	240	23	(	(	PUNCT
ma-50	240	24	1−	1−	NUM
ma-50	240	25	α1n	α1n	NOUN
ma-50	240	26	,	,	PUNCT
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ma-50	240	30	−	−	PROPN
ma-50	240	31	q‖2	q‖2	PROPN
ma-50	241	1	+	+	CCONJ
ma-50	241	2	(	(	PUNCT
ma-50	241	3	`	`	PUNCT
ma-50	241	4	3∏	3∏	NUM
ma-50	241	5	i=1	i=1	X
ma-50	241	6	(	(	PUNCT
ma-50	241	7	1−	1−	NUM
ma-50	241	8	α2n	α2n	PROPN
ma-50	241	9	,	,	PUNCT
ma-50	241	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	241	11	)	)	PUNCT
ma-50	241	12	(	(	PUNCT
ma-50	241	13	`	`	PUNCT
ma-50	241	14	2∏	2∏	NUM
ma-50	241	15	i=1	i=1	PROPN
ma-50	241	16	(	(	PUNCT
ma-50	241	17	1−	1−	NUM
ma-50	241	18	α1n	α1n	NOUN
ma-50	241	19	,	,	PUNCT
ma-50	241	20	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	241	22	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	241	23	−	−	PROPN
ma-50	241	24	q‖2	q‖2	PROPN
ma-50	241	25	+	+	CCONJ
ma-50	241	26	(	(	PUNCT
ma-50	241	27	`	`	PUNCT
ma-50	241	28	2∑	2∑	X
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ma-50	241	30	α1n	α1n	PROPN
ma-50	241	31	,	,	PUNCT
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ma-50	242	2	i=1	i=1	PROPN
ma-50	243	1	(	(	PUNCT
ma-50	243	2	1−	1−	NUM
ma-50	243	3	α1n	α1n	PROPN
ma-50	243	4	,	,	PUNCT
ma-50	243	5	i	i	NOUN
ma-50	243	6	)	)	PUNCT
ma-50	243	7	)	)	PUNCT
ma-50	244	1			PROPN
ma-50	244	2	`	`	PUNCT
ma-50	244	3	3∑	3∑	PROPN
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ma-50	244	6	,	,	PUNCT
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ma-50	244	10	i=1	i=1	PROPN
ma-50	244	11	(	(	PUNCT
ma-50	244	12	1−	1−	NUM
ma-50	244	13	α2n	α2n	PROPN
ma-50	244	14	,	,	PUNCT
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ma-50	245	1			PROPN
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ma-50	245	3	(	(	PUNCT
ma-50	245	4	(	(	PUNCT
ma-50	245	5	1−	1−	NUM
ma-50	245	6	α3n,1	α3n,1	NUM
ma-50	245	7	−	−	PROPN
ma-50	246	1	`	`	PUNCT
ma-50	246	2	4∏	4∏	NUM
ma-50	246	3	i=1	i=1	X
ma-50	246	4	(	(	PUNCT
ma-50	246	5	1−	1−	NUM
ma-50	246	6	α3n	α3n	PROPN
ma-50	246	7	,	,	PUNCT
ma-50	246	8	i))(ρj)2	i))(ρj)2	INTJ
ma-50	246	9	)	)	PUNCT
ma-50	246	10	‖y4n	‖y4n	PROPN
ma-50	246	11	−	−	NOUN
ma-50	246	12	q‖2	q‖2	PROPN
ma-50	246	13	+	+	CCONJ
ma-50	246	14	(	(	PUNCT
ma-50	246	15	`	`	PUNCT
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ma-50	246	18	α1n	α1n	PROPN
ma-50	246	19	,	,	PUNCT
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ma-50	247	2	i=1	i=1	PROPN
ma-50	248	1	(	(	PUNCT
ma-50	248	2	1−	1−	NUM
ma-50	248	3	α1n	α1n	PROPN
ma-50	248	4	,	,	PUNCT
ma-50	248	5	i	i	NOUN
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ma-50	248	7	)	)	PUNCT
ma-50	249	1	×	×	PROPN
ma-50	249	2			PROPN
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ma-50	249	11	i=1	i=1	PROPN
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ma-50	249	13	1−	1−	NUM
ma-50	249	14	α2n	α2n	PROPN
ma-50	249	15	,	,	PUNCT
ma-50	249	16	i	i	NOUN
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ma-50	249	19	(	(	PUNCT
ma-50	249	20	`	`	PUNCT
ma-50	249	21	4∏	4∏	NUM
ma-50	249	22	i=1	i=1	X
ma-50	249	23	(	(	PUNCT
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ma-50	249	26	,	,	PUNCT
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ma-50	249	29	‖y4n	‖y4n	PROPN
ma-50	249	30	−	−	NOUN
ma-50	250	1	q‖2	q‖2	PROPN
ma-50	251	1	+	+	CCONJ
ma-50	251	2	(	(	PUNCT
ma-50	251	3	`	`	PUNCT
ma-50	251	4	2∑	2∑	X
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ma-50	251	7	,	,	PUNCT
ma-50	251	8	j(ρ	j(ρ	PROPN
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ma-50	251	11	i=1	i=1	PROPN
ma-50	251	12	(	(	PUNCT
ma-50	251	13	1−	1−	NUM
ma-50	251	14	α1n	α1n	PROPN
ma-50	251	15	,	,	PUNCT
ma-50	251	16	i	i	NOUN
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ma-50	251	19	(	(	PUNCT
ma-50	251	20	`	`	PUNCT
ma-50	251	21	3∏	3∏	NUM
ma-50	251	22	i=1	i=1	X
ma-50	251	23	(	(	PUNCT
ma-50	251	24	1−	1−	NUM
ma-50	251	25	α2n	α2n	PROPN
ma-50	251	26	,	,	PUNCT
ma-50	251	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	251	28	)	)	PUNCT
ma-50	251	29	×	×	NOUN
ma-50	251	30	(	(	PUNCT
ma-50	251	31	(	(	PUNCT
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ma-50	251	34	−	−	PROPN
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ma-50	251	38	(	(	PUNCT
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ma-50	251	40	α3n	α3n	PROPN
ma-50	251	41	,	,	PUNCT
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ma-50	251	44	)	)	PUNCT
ma-50	252	1	‖y4n	‖y4n	PROPN
ma-50	252	2	−	−	NOUN
ma-50	252	3	q‖2	q‖2	PROPN
ma-50	252	4	+	+	CCONJ
ma-50	252	5	(	(	PUNCT
ma-50	252	6	`	`	PUNCT
ma-50	252	7	2∑	2∑	X
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ma-50	252	9	α1n	α1n	PROPN
ma-50	252	10	,	,	PUNCT
ma-50	252	11	j(ρ	j(ρ	PROPN
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ma-50	252	14	i=1	i=1	PROPN
ma-50	252	15	(	(	PUNCT
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ma-50	252	17	α1n	α1n	PROPN
ma-50	252	18	,	,	PUNCT
ma-50	252	19	i	i	NOUN
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ma-50	252	21	)	)	PUNCT
ma-50	252	22	(	(	PUNCT
ma-50	252	23	`	`	PUNCT
ma-50	252	24	3∏	3∏	NUM
ma-50	252	25	i=1	i=1	X
ma-50	252	26	(	(	PUNCT
ma-50	252	27	1−	1−	NUM
ma-50	252	28	α2n	α2n	PROPN
ma-50	252	29	,	,	PUNCT
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ma-50	252	31	)	)	PUNCT
ma-50	252	32	(	(	PUNCT
ma-50	252	33	`	`	PUNCT
ma-50	252	34	4∏	4∏	NUM
ma-50	252	35	i=1	i=1	X
ma-50	252	36	(	(	PUNCT
ma-50	252	37	1−	1−	NUM
ma-50	252	38	α4n	α4n	NUM
ma-50	252	39	,	,	PUNCT
ma-50	252	40	i)(ρj)2	i)(ρj)2	ADJ
ma-50	252	41	)	)	PUNCT
ma-50	252	42	‖y4n	‖y4n	PROPN
ma-50	252	43	−	−	NOUN
ma-50	252	44	q‖2	q‖2	NOUN
ma-50	253	1	+	+	CCONJ
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ma-50	253	11	i=1	i=1	PROPN
ma-50	253	12	(	(	PUNCT
ma-50	253	13	1−	1−	NUM
ma-50	253	14	α2n	α2n	PROPN
ma-50	253	15	,	,	PUNCT
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ma-50	253	18			PROPN
ma-50	253	19	(	(	PUNCT
ma-50	253	20	`	`	PUNCT
ma-50	253	21	2∏	2∏	NUM
ma-50	253	22	i=1	i=1	PROPN
ma-50	253	23	(	(	PUNCT
ma-50	253	24	1−	1−	NUM
ma-50	253	25	α1n	α1n	NOUN
ma-50	253	26	,	,	PUNCT
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ma-50	253	30	(	(	PUNCT
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ma-50	253	37	i=1	i=1	X
ma-50	253	38	(	(	PUNCT
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ma-50	253	40	α3n	α3n	PROPN
ma-50	253	41	,	,	PUNCT
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ma-50	253	43	)	)	PUNCT
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ma-50	254	1	‖y4n	‖y4n	PROPN
ma-50	254	2	−	−	NOUN
ma-50	254	3	q‖2	q‖2	NOUN
ma-50	254	4	+	+	CCONJ
ma-50	254	5			PROPN
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ma-50	254	17	α2n	α2n	PROPN
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ma-50	254	21			PROPN
ma-50	254	22	(	(	PUNCT
ma-50	254	23	`	`	PUNCT
ma-50	254	24	2∏	2∏	NUM
ma-50	254	25	i=1	i=1	PROPN
ma-50	254	26	(	(	PUNCT
ma-50	254	27	1−	1−	NUM
ma-50	254	28	α1n	α1n	NOUN
ma-50	254	29	,	,	PUNCT
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ma-50	254	32	(	(	PUNCT
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ma-50	254	35	i=1	i=1	X
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ma-50	254	50	(	(	PUNCT
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ma-50	254	98	(	(	PUNCT
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ma-50	254	101	,	,	PUNCT
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ma-50	254	114	‖y4n	‖y4n	PROPN
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ma-50	254	116	q‖2	q‖2	PROPN
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ma-50	258	1	+	+	CCONJ
ma-50	258	2	`	`	PUNCT
ma-50	258	3	2∏	2∏	NUM
ma-50	258	4	i=1	i=1	PROPN
ma-50	258	5	(	(	PUNCT
ma-50	258	6	1−	1−	NUM
ma-50	258	7	α1n	α1n	PROPN
ma-50	258	8	,	,	PUNCT
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ma-50	258	10	−	−	PROPN
ma-50	258	11	q‖2	q‖2	VERB
ma-50	258	12	+	+	CCONJ
ma-50	258	13	(	(	PUNCT
ma-50	258	14	`	`	PUNCT
ma-50	258	15	2∑	2∑	X
ma-50	258	16	j=2	j=2	X
ma-50	258	17	α1n	α1n	PROPN
ma-50	258	18	,	,	PUNCT
ma-50	258	19	j(ρ	j(ρ	PROPN
ma-50	258	20	j)2	j)2	VERB
ma-50	259	1	j−1∏	j−1∏	ADP
ma-50	259	2	i=1	i=1	PROPN
ma-50	260	1	(	(	PUNCT
ma-50	260	2	1−	1−	NUM
ma-50	260	3	α1n	α1n	PROPN
ma-50	260	4	,	,	PUNCT
ma-50	260	5	i	i	NOUN
ma-50	260	6	)	)	PUNCT
ma-50	260	7	)	)	PUNCT
ma-50	261	1			PROPN
ma-50	261	2	`	`	PUNCT
ma-50	261	3	3∑	3∑	PROPN
ma-50	261	4	j=2	j=2	PROPN
ma-50	261	5	α2n	α2n	PROPN
ma-50	261	6	,	,	PUNCT
ma-50	261	7	j(ρ	j(ρ	PROPN
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ma-50	261	10	i=1	i=1	PROPN
ma-50	261	11	(	(	PUNCT
ma-50	261	12	1−	1−	NUM
ma-50	261	13	α2n	α2n	PROPN
ma-50	261	14	,	,	PUNCT
ma-50	261	15	i	i	NOUN
ma-50	261	16	)	)	PUNCT
ma-50	261	17	α3n,1‖xn	α3n,1‖xn	PUNCT
ma-50	262	1	−	−	PROPN
ma-50	262	2	q‖2	q‖2	PROPN
ma-50	262	3	+	+	CCONJ
ma-50	262	4	(	(	PUNCT
ma-50	262	5	`	`	PUNCT
ma-50	262	6	2∑	2∑	X
ma-50	262	7	j=2	j=2	X
ma-50	262	8	α1n	α1n	PROPN
ma-50	262	9	,	,	PUNCT
ma-50	262	10	j(ρ	j(ρ	PROPN
ma-50	262	11	j)2	j)2	VERB
ma-50	263	1	j−1∏	j−1∏	ADP
ma-50	263	2	i=1	i=1	PROPN
ma-50	264	1	(	(	PUNCT
ma-50	264	2	1−	1−	NUM
ma-50	264	3	α1n	α1n	PROPN
ma-50	264	4	,	,	PUNCT
ma-50	264	5	i	i	NOUN
ma-50	264	6	)	)	PUNCT
ma-50	264	7	)	)	PUNCT
ma-50	265	1	(	(	PUNCT
ma-50	265	2	`	`	PUNCT
ma-50	265	3	3∏	3∏	NUM
ma-50	265	4	i=1	i=1	X
ma-50	265	5	(	(	PUNCT
ma-50	265	6	1−	1−	NUM
ma-50	265	7	α2n	α2n	PROPN
ma-50	265	8	,	,	PUNCT
ma-50	265	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	265	10	)	)	PUNCT
ma-50	265	11	‖xn	‖xn	PROPN
ma-50	265	12	−	−	PROPN
ma-50	265	13	q‖2	q‖2	PROPN
ma-50	266	1	+	+	CCONJ
ma-50	266	2			PROPN
ma-50	266	3	`	`	PUNCT
ma-50	266	4	3∑	3∑	PROPN
ma-50	266	5	j=2	j=2	PROPN
ma-50	266	6	α2n	α2n	PROPN
ma-50	266	7	,	,	PUNCT
ma-50	266	8	j(ρ	j(ρ	PROPN
ma-50	266	9	j)2	j)2	VERB
ma-50	266	10	j−1∏	j−1∏	ADP
ma-50	266	11	i=1	i=1	PROPN
ma-50	266	12	(	(	PUNCT
ma-50	266	13	1−	1−	NUM
ma-50	266	14	α2n	α2n	PROPN
ma-50	266	15	,	,	PUNCT
ma-50	266	16	i	i	NOUN
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ma-50	266	18			PROPN
ma-50	266	19	(	(	PUNCT
ma-50	266	20	`	`	PUNCT
ma-50	266	21	2∏	2∏	NUM
ma-50	266	22	i=1	i=1	PROPN
ma-50	266	23	(	(	PUNCT
ma-50	266	24	1−	1−	NUM
ma-50	266	25	α1n	α1n	NOUN
ma-50	266	26	,	,	PUNCT
ma-50	266	27	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	266	29	α3n,1‖xn	α3n,1‖xn	NUM
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ma-50	266	31	q‖2	q‖2	PROPN
ma-50	267	1	+	+	CCONJ
ma-50	267	2	(	(	PUNCT
ma-50	267	3	`	`	PUNCT
ma-50	267	4	3∏	3∏	NUM
ma-50	267	5	i=1	i=1	X
ma-50	267	6	(	(	PUNCT
ma-50	267	7	1−	1−	NUM
ma-50	267	8	α2n	α2n	PROPN
ma-50	267	9	,	,	PUNCT
ma-50	267	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	267	11	)	)	PUNCT
ma-50	267	12	(	(	PUNCT
ma-50	267	13	`	`	PUNCT
ma-50	267	14	2∏	2∏	NUM
ma-50	267	15	i=1	i=1	PROPN
ma-50	267	16	(	(	PUNCT
ma-50	267	17	1−	1−	NUM
ma-50	267	18	α1n	α1n	NOUN
ma-50	267	19	,	,	PUNCT
ma-50	267	20	i)(ρj)2	i)(ρj)2	ADJ
ma-50	267	21	)	)	PUNCT
ma-50	267	22	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	267	23	−	−	PROPN
ma-50	267	24	q‖2	q‖2	PROPN
ma-50	267	25	+	+	CCONJ
ma-50	267	26	(	(	PUNCT
ma-50	267	27	`	`	PUNCT
ma-50	267	28	2∑	2∑	X
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ma-50	267	30	α1n	α1n	PROPN
ma-50	267	31	,	,	PUNCT
ma-50	267	32	j(ρ	j(ρ	PROPN
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ma-50	268	1	j−1∏	j−1∏	ADP
ma-50	268	2	i=1	i=1	PROPN
ma-50	269	1	(	(	PUNCT
ma-50	269	2	1−	1−	NUM
ma-50	269	3	α1n	α1n	PROPN
ma-50	269	4	,	,	PUNCT
ma-50	269	5	i	i	NOUN
ma-50	269	6	)	)	PUNCT
ma-50	269	7	)	)	PUNCT
ma-50	270	1			PROPN
ma-50	270	2	`	`	PUNCT
ma-50	270	3	3∑	3∑	PROPN
ma-50	270	4	j=2	j=2	PROPN
ma-50	270	5	α2n	α2n	PROPN
ma-50	270	6	,	,	PUNCT
ma-50	270	7	j(ρ	j(ρ	PROPN
ma-50	270	8	j)2	j)2	VERB
ma-50	270	9	j−1∏	j−1∏	ADP
ma-50	270	10	i=1	i=1	PROPN
ma-50	270	11	(	(	PUNCT
ma-50	270	12	1−	1−	NUM
ma-50	270	13	α2n	α2n	PROPN
ma-50	270	14	,	,	PUNCT
ma-50	270	15	i	i	NOUN
ma-50	270	16	)	)	PUNCT
ma-50	270	17			PROPN
ma-50	270	18	(	(	PUNCT
ma-50	270	19	1−	1−	NUM
ma-50	270	20	α3n,1)(ρj)2‖y4n	α3n,1)(ρj)2‖y4n	PROPN
ma-50	270	21	−	−	PROPN
ma-50	270	22	q‖2	q‖2	VERB
ma-50	270	23	+	+	CCONJ
ma-50	270	24	(	(	PUNCT
ma-50	270	25	`	`	PUNCT
ma-50	270	26	2∑	2∑	X
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ma-50	270	28	α1n	α1n	PROPN
ma-50	270	29	,	,	PUNCT
ma-50	270	30	j(ρ	j(ρ	PROPN
ma-50	270	31	j)2	j)2	VERB
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ma-50	270	33	i=1	i=1	PROPN
ma-50	270	34	(	(	PUNCT
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ma-50	270	36	α1n	α1n	PROPN
ma-50	270	37	,	,	PUNCT
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ma-50	270	40	)	)	PUNCT
ma-50	270	41	(	(	PUNCT
ma-50	270	42	`	`	PUNCT
ma-50	270	43	3∏	3∏	NUM
ma-50	270	44	i=1	i=1	X
ma-50	270	45	(	(	PUNCT
ma-50	270	46	1−	1−	NUM
ma-50	270	47	α2n	α2n	PROPN
ma-50	270	48	,	,	PUNCT
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ma-50	270	50	)	)	PUNCT
ma-50	270	51	(	(	PUNCT
ma-50	270	52	1−	1−	NUM
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ma-50	270	54	−	−	NOUN
ma-50	270	55	q‖2	q‖2	VERB
ma-50	271	1	+	+	CCONJ
ma-50	271	2			PROPN
ma-50	271	3	`	`	PUNCT
ma-50	271	4	3∑	3∑	PROPN
ma-50	271	5	j=2	j=2	PROPN
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ma-50	271	9	j)2	j)2	VERB
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ma-50	271	11	i=1	i=1	PROPN
ma-50	271	12	(	(	PUNCT
ma-50	271	13	1−	1−	NUM
ma-50	271	14	α2n	α2n	PROPN
ma-50	271	15	,	,	PUNCT
ma-50	271	16	i	i	NOUN
ma-50	271	17	)	)	PUNCT
ma-50	271	18			PROPN
ma-50	271	19	(	(	PUNCT
ma-50	271	20	`	`	PUNCT
ma-50	271	21	2∏	2∏	NUM
ma-50	271	22	i=1	i=1	PROPN
ma-50	271	23	(	(	PUNCT
ma-50	271	24	1−	1−	NUM
ma-50	271	25	α1n	α1n	NOUN
ma-50	271	26	,	,	PUNCT
ma-50	271	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	271	28	)	)	PUNCT
ma-50	271	29	(	(	PUNCT
ma-50	271	30	1−	1−	NUM
ma-50	271	31	α3n,1)(ρj)2)‖y4n	α3n,1)(ρj)2)‖y4n	NUM
ma-50	271	32	−	−	NOUN
ma-50	271	33	q‖2	q‖2	VERB
ma-50	272	1	+	+	CCONJ
ma-50	272	2	(	(	PUNCT
ma-50	272	3	`	`	PUNCT
ma-50	272	4	3∏	3∏	NUM
ma-50	272	5	i=1	i=1	X
ma-50	272	6	(	(	PUNCT
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ma-50	272	9	,	,	PUNCT
ma-50	272	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	272	11	)	)	PUNCT
ma-50	272	12	(	(	PUNCT
ma-50	272	13	`	`	PUNCT
ma-50	272	14	2∏	2∏	NUM
ma-50	272	15	i=1	i=1	PROPN
ma-50	272	16	(	(	PUNCT
ma-50	272	17	1−	1−	NUM
ma-50	272	18	α1n	α1n	NOUN
ma-50	272	19	,	,	PUNCT
ma-50	272	20	i)(ρj)2	i)(ρj)2	ADJ
ma-50	272	21	)	)	PUNCT
ma-50	272	22	(	(	PUNCT
ma-50	272	23	1−	1−	NUM
ma-50	272	24	α3n,1)(ρj)2‖y4n	α3n,1)(ρj)2‖y4n	ADJ
ma-50	272	25	−	−	PROPN
ma-50	272	26	q‖2	q‖2	VERB
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ma-50	272	28	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	272	29	−	−	PROPN
ma-50	273	1	q‖2	q‖2	PROPN
ma-50	274	1	+	+	CCONJ
ma-50	275	1	`	`	PUNCT
ma-50	275	2	2∑	2∑	NUM
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ma-50	275	6	j(ρ	j(ρ	PROPN
ma-50	275	7	j)2	j)2	VERB
ma-50	275	8	j−1∏	j−1∏	ADP
ma-50	275	9	i=1	i=1	PROPN
ma-50	275	10	(	(	PUNCT
ma-50	275	11	1−	1−	NUM
ma-50	275	12	α1n	α1n	PROPN
ma-50	275	13	,	,	PUNCT
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ma-50	276	1	+	+	CCONJ
ma-50	276	2	`	`	PUNCT
ma-50	276	3	2∏	2∏	NUM
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ma-50	276	5	(	(	PUNCT
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ma-50	276	12	+	+	CCONJ
ma-50	276	13	(	(	PUNCT
ma-50	276	14	`	`	PUNCT
ma-50	276	15	2∑	2∑	X
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ma-50	278	3	α1n	α1n	PROPN
ma-50	278	4	,	,	PUNCT
ma-50	278	5	i	i	NOUN
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ma-50	279	1			PROPN
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ma-50	279	3	3∑	3∑	PROPN
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ma-50	279	13	α2n	α2n	PROPN
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ma-50	279	17	α3n,1‖xn	α3n,1‖xn	PUNCT
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ma-50	280	4	(	(	PUNCT
ma-50	280	5	`	`	PUNCT
ma-50	280	6	2∑	2∑	X
ma-50	280	7	j=2	j=2	X
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ma-50	280	9	,	,	PUNCT
ma-50	280	10	j(ρ	j(ρ	PROPN
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ma-50	281	2	i=1	i=1	PROPN
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ma-50	282	2	1−	1−	NUM
ma-50	282	3	α1n	α1n	PROPN
ma-50	282	4	,	,	PUNCT
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ma-50	283	1	(	(	PUNCT
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ma-50	283	3	3∏	3∏	NUM
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ma-50	284	1	+	+	CCONJ
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ma-50	284	11	i=1	i=1	PROPN
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ma-50	284	19	(	(	PUNCT
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ma-50	284	21	2∏	2∏	NUM
ma-50	284	22	i=1	i=1	PROPN
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ma-50	288	10	3∏	3∏	NUM
ma-50	288	11	i=1	i=1	X
ma-50	288	12	(	(	PUNCT
ma-50	288	13	1−	1−	NUM
ma-50	288	14	α2n	α2n	PROPN
ma-50	288	15	,	,	PUNCT
ma-50	288	16	i)(ρj)2	i)(ρj)2	ADJ
ma-50	288	17	)	)	PUNCT
ma-50	288	18	(	(	PUNCT
ma-50	288	19	`	`	PUNCT
ma-50	288	20	2∏	2∏	NUM
ma-50	288	21	i=1	i=1	PROPN
ma-50	288	22	(	(	PUNCT
ma-50	288	23	1−	1−	NUM
ma-50	288	24	α1n	α1n	NOUN
ma-50	288	25	,	,	PUNCT
ma-50	288	26	i)(ρj)2	i)(ρj)2	ADJ
ma-50	288	27	)	)	PUNCT
ma-50	288	28	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	288	29	−	−	PROPN
ma-50	289	1	q‖2	q‖2	PROPN
ma-50	289	2	+	+	CCONJ
ma-50	289	3	(	(	PUNCT
ma-50	289	4	`	`	PUNCT
ma-50	289	5	2∑	2∑	X
ma-50	289	6	j=2	j=2	X
ma-50	289	7	α1n	α1n	PROPN
ma-50	289	8	,	,	PUNCT
ma-50	289	9	j(ρ	j(ρ	PROPN
ma-50	289	10	j)2	j)2	VERB
ma-50	290	1	j−1∏	j−1∏	ADP
ma-50	290	2	i=1	i=1	PROPN
ma-50	291	1	(	(	PUNCT
ma-50	291	2	1−	1−	NUM
ma-50	291	3	α1n	α1n	PROPN
ma-50	291	4	,	,	PUNCT
ma-50	291	5	i	i	NOUN
ma-50	291	6	)	)	PUNCT
ma-50	291	7	)	)	PUNCT
ma-50	292	1			PROPN
ma-50	292	2	`	`	PUNCT
ma-50	292	3	3∑	3∑	PROPN
ma-50	292	4	j=2	j=2	PROPN
ma-50	292	5	α2n	α2n	PROPN
ma-50	292	6	,	,	PUNCT
ma-50	292	7	j(ρ	j(ρ	PROPN
ma-50	292	8	j)2	j)2	VERB
ma-50	292	9	j−1∏	j−1∏	ADP
ma-50	292	10	i=1	i=1	PROPN
ma-50	292	11	(	(	PUNCT
ma-50	292	12	1−	1−	NUM
ma-50	292	13	α2n	α2n	PROPN
ma-50	292	14	,	,	PUNCT
ma-50	292	15	i	i	PROPN
ma-50	292	16	)	)	PUNCT
ma-50	293	1	α3n,1(1−	α3n,1(1−	PROPN
ma-50	293	2	α3n,1)(ρj)2‖xn	α3n,1)(ρj)2‖xn	PROPN
ma-50	294	1	−	−	PROPN
ma-50	294	2	q‖2	q‖2	PROPN
ma-50	294	3	+	+	CCONJ
ma-50	294	4	(	(	PUNCT
ma-50	294	5	`	`	PUNCT
ma-50	294	6	2∑	2∑	X
ma-50	294	7	j=2	j=2	X
ma-50	294	8	α1n	α1n	PROPN
ma-50	294	9	,	,	PUNCT
ma-50	294	10	j(ρ	j(ρ	PROPN
ma-50	294	11	j)2	j)2	VERB
ma-50	295	1	j−1∏	j−1∏	ADP
ma-50	295	2	i=1	i=1	PROPN
ma-50	296	1	(	(	PUNCT
ma-50	296	2	1−	1−	NUM
ma-50	296	3	α1n	α1n	PROPN
ma-50	296	4	,	,	PUNCT
ma-50	296	5	i	i	NOUN
ma-50	296	6	)	)	PUNCT
ma-50	296	7	)	)	PUNCT
ma-50	297	1	(	(	PUNCT
ma-50	297	2	`	`	PUNCT
ma-50	297	3	3∏	3∏	NUM
ma-50	297	4	i=1	i=1	X
ma-50	297	5	(	(	PUNCT
ma-50	297	6	1−	1−	NUM
ma-50	297	7	α2n	α2n	PROPN
ma-50	297	8	,	,	PUNCT
ma-50	297	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	297	10	)	)	PUNCT
ma-50	297	11	α3n,1(1−	α3n,1(1−	NUM
ma-50	297	12	α3n,1)(ρj)2)‖xn	α3n,1)(ρj)2)‖xn	PROPN
ma-50	297	13	−	−	PROPN
ma-50	297	14	q‖2	q‖2	NOUN
ma-50	297	15	+	+	CCONJ
ma-50	297	16			PROPN
ma-50	297	17	`	`	PUNCT
ma-50	297	18	3∑	3∑	PROPN
ma-50	297	19	j=2	j=2	PROPN
ma-50	297	20	α2n	α2n	PROPN
ma-50	297	21	,	,	PUNCT
ma-50	297	22	j(ρ	j(ρ	PROPN
ma-50	297	23	j)2	j)2	VERB
ma-50	297	24	j−1∏	j−1∏	ADP
ma-50	297	25	i=1	i=1	PROPN
ma-50	297	26	(	(	PUNCT
ma-50	297	27	1−	1−	NUM
ma-50	297	28	α2n	α2n	PROPN
ma-50	297	29	,	,	PUNCT
ma-50	297	30	i	i	NOUN
ma-50	297	31	)	)	PUNCT
ma-50	297	32			PROPN
ma-50	297	33	(	(	PUNCT
ma-50	297	34	`	`	PUNCT
ma-50	297	35	2∏	2∏	NUM
ma-50	297	36	i=1	i=1	PROPN
ma-50	297	37	(	(	PUNCT
ma-50	297	38	1−	1−	NUM
ma-50	297	39	α1n	α1n	NOUN
ma-50	297	40	,	,	PUNCT
ma-50	297	41	i)(ρj)2	i)(ρj)2	VERB
ma-50	297	42	)	)	PUNCT
ma-50	297	43	α3n,1(1−	α3n,1(1−	NUM
ma-50	297	44	α3n,1)(ρj)2)‖xn	α3n,1)(ρj)2)‖xn	PROPN
ma-50	297	45	−	−	PROPN
ma-50	298	1	q‖2	q‖2	PROPN
ma-50	298	2	+	+	CCONJ
ma-50	298	3	(	(	PUNCT
ma-50	298	4	`	`	PUNCT
ma-50	298	5	3∏	3∏	NUM
ma-50	298	6	i=1	i=1	X
ma-50	298	7	(	(	PUNCT
ma-50	298	8	1−	1−	NUM
ma-50	298	9	α2n	α2n	PROPN
ma-50	298	10	,	,	PUNCT
ma-50	298	11	i)(ρj)2	i)(ρj)2	ADJ
ma-50	298	12	)	)	PUNCT
ma-50	298	13	(	(	PUNCT
ma-50	298	14	`	`	PUNCT
ma-50	298	15	2∏	2∏	NUM
ma-50	298	16	i=1	i=1	PROPN
ma-50	298	17	(	(	PUNCT
ma-50	298	18	1−	1−	NUM
ma-50	298	19	α1n	α1n	NOUN
ma-50	298	20	,	,	PUNCT
ma-50	298	21	i)(ρj)2	i)(ρj)2	VERB
ma-50	298	22	)	)	PUNCT
ma-50	298	23	α3n,1(1−	α3n,1(1−	PRON
ma-50	298	24	α3n,1)(ρj)2‖xn	α3n,1)(ρj)2‖xn	NUM
ma-50	298	25	−	−	PROPN
ma-50	298	26	q‖2	q‖2	PROPN
ma-50	298	27	+	+	CCONJ
ma-50	298	28	·	·	PUNCT
ma-50	298	29	·	·	PUNCT
ma-50	298	30	·	·	PUNCT
ma-50	299	1	+	+	CCONJ
ma-50	299	2			PROPN
ma-50	299	3	`	`	PUNCT
ma-50	299	4	2∑	2∑	NUM
ma-50	299	5	j=2	j=2	X
ma-50	299	6	α1n	α1n	PROPN
ma-50	299	7	,	,	PUNCT
ma-50	299	8	j(ρ	j(ρ	PROPN
ma-50	299	9	j)2	j)2	VERB
ma-50	299	10	j−1∏	j−1∏	ADP
ma-50	299	11	i=1	i=1	PROPN
ma-50	299	12	(	(	PUNCT
ma-50	299	13	1−	1−	NUM
ma-50	299	14	α1n	α1n	PROPN
ma-50	299	15	,	,	PUNCT
ma-50	299	16	i	i	NOUN
ma-50	299	17	)	)	PUNCT
ma-50	299	18			PUNCT
ma-50	300	1	`	`	PUNCT
ma-50	300	2	3∑	3∑	NUM
ma-50	300	3	j=2	j=2	PROPN
ma-50	300	4	α2n	α2n	PROPN
ma-50	300	5	,	,	PUNCT
ma-50	300	6	j(ρ	j(ρ	PROPN
ma-50	300	7	j)2	j)2	VERB
ma-50	300	8	j−1∏	j−1∏	ADP
ma-50	300	9	i=1	i=1	PROPN
ma-50	300	10	(	(	PUNCT
ma-50	300	11	1−	1−	NUM
ma-50	300	12	α2n	α2n	PROPN
ma-50	300	13	,	,	PUNCT
ma-50	300	14	i	i	PRON
ma-50	300	15	)	)	PUNCT
ma-50	301	1			PROPN
ma-50	301	2	×	×	NOUN
ma-50	301	3			PROPN
ma-50	301	4	`	`	PUNCT
ma-50	301	5	4∑	4∑	PROPN
ma-50	301	6	j=2	j=2	PROPN
ma-50	301	7	α3n	α3n	PROPN
ma-50	301	8	,	,	PUNCT
ma-50	301	9	j(ρ	j(ρ	PROPN
ma-50	301	10	j)3	j)3	PROPN
ma-50	301	11	j−1∏	j−1∏	PROPN
ma-50	301	12	i=1	i=1	PROPN
ma-50	302	1	(	(	PUNCT
ma-50	302	2	1−	1−	NUM
ma-50	302	3	α2n	α2n	PROPN
ma-50	302	4	,	,	PUNCT
ma-50	302	5	i	i	PROPN
ma-50	302	6	)	)	PUNCT
ma-50	302	7	×	×	PROPN
ma-50	302	8	·	·	PUNCT
ma-50	302	9	·	·	PUNCT
ma-50	302	10	·	·	PUNCT
ma-50	303	1	×`s−1∑	×`s−1∑	PROPN
ma-50	303	2	j=2	j=2	PROPN
ma-50	303	3	α	α	PROPN
ma-50	303	4	`	`	PUNCT
ma-50	303	5	s−2	s−2	PROPN
ma-50	303	6	n	n	PART
ma-50	303	7	,	,	PUNCT
ma-50	303	8	j	j	PROPN
ma-50	303	9	(	(	PUNCT
ma-50	303	10	ρj)2	ρj)2	PROPN
ma-50	303	11	j−1∏	j−1∏	PROPN
ma-50	303	12	i=1	i=1	PROPN
ma-50	304	1	(	(	PUNCT
ma-50	304	2	1−	1−	NUM
ma-50	304	3	α`s−2n	α`s−2n	NUM
ma-50	304	4	,	,	PUNCT
ma-50	304	5	i	i	PRON
ma-50	304	6	)	)	PUNCT
ma-50	305	1			PROPN
ma-50	305	2	×	×	NOUN
ma-50	305	3			PROPN
ma-50	305	4	`	`	PUNCT
ma-50	305	5	s∑	s∑	PROPN
ma-50	305	6	j=2	j=2	PROPN
ma-50	305	7	α	α	NOUN
ma-50	305	8	`	`	PUNCT
ma-50	305	9	s−1	s−1	PROPN
ma-50	305	10	n	n	CCONJ
ma-50	305	11	,	,	PUNCT
ma-50	305	12	j	j	PROPN
ma-50	305	13	(	(	PUNCT
ma-50	305	14	ρj)2	ρj)2	PROPN
ma-50	305	15	j−1∏	j−1∏	PROPN
ma-50	305	16	i=1	i=1	PROPN
ma-50	306	1	(	(	PUNCT
ma-50	306	2	1−	1−	NUM
ma-50	306	3	α`s−1n	α`s−1n	NUM
ma-50	306	4	,	,	PUNCT
ma-50	306	5	i	i	PRON
ma-50	306	6	)	)	PUNCT
ma-50	307	1	αsn,1‖xn	αsn,1‖xn	PROPN
ma-50	307	2	−	−	PROPN
ma-50	308	1	q‖2	q‖2	PROPN
ma-50	308	2	+	+	CCONJ
ma-50	308	3	(	(	PUNCT
ma-50	308	4	ρj)2	ρj)2	PROPN
ma-50	308	5	(	(	PUNCT
ma-50	308	6	`	`	PUNCT
ma-50	308	7	2∏	2∏	NUM
ma-50	308	8	i=1	i=1	PROPN
ma-50	308	9	(	(	PUNCT
ma-50	308	10	1−	1−	NUM
ma-50	308	11	α1n	α1n	PROPN
ma-50	308	12	,	,	PUNCT
ma-50	308	13	i)(ρj)2	i)(ρj)2	ADJ
ma-50	308	14	)	)	PUNCT
ma-50	308	15	×(ρj)2	×(ρj)2	INTJ
ma-50	308	16	(	(	PUNCT
ma-50	308	17	`	`	PUNCT
ma-50	308	18	3∏	3∏	NUM
ma-50	308	19	i=1	i=1	X
ma-50	308	20	(	(	PUNCT
ma-50	308	21	1−	1−	NUM
ma-50	308	22	α2n	α2n	PROPN
ma-50	308	23	,	,	PUNCT
ma-50	308	24	i)(ρj)2	i)(ρj)2	ADJ
ma-50	308	25	)	)	PUNCT
ma-50	308	26	(	(	PUNCT
ma-50	308	27	ρj)2	ρj)2	PROPN
ma-50	308	28	(	(	PUNCT
ma-50	308	29	`	`	PUNCT
ma-50	308	30	4∏	4∏	NUM
ma-50	308	31	i=1	i=1	X
ma-50	308	32	(	(	PUNCT
ma-50	308	33	1−	1−	NUM
ma-50	308	34	α3n	α3n	PROPN
ma-50	308	35	,	,	PUNCT
ma-50	308	36	i)(ρj)2	i)(ρj)2	ADJ
ma-50	308	37	)	)	PUNCT
ma-50	308	38	×	×	NOUN
ma-50	308	39	·	·	PUNCT
ma-50	308	40	·	·	PUNCT
ma-50	308	41	·	·	PUNCT
ma-50	309	1	×	×	NOUN
ma-50	309	2	(	(	PUNCT
ma-50	309	3	ρj)2	ρj)2	PROPN
ma-50	309	4	`s−1∏	`s−1∏	PROPN
ma-50	309	5	i=1	i=1	PROPN
ma-50	309	6	(	(	PUNCT
ma-50	309	7	1−	1−	NUM
ma-50	309	8	α`s−2n	α`s−2n	NUM
ma-50	309	9	,	,	PUNCT
ma-50	309	10	i	i	PRON
ma-50	309	11	)	)	PUNCT
ma-50	309	12	(	(	PUNCT
ma-50	309	13	ρj)2	ρj)2	PROPN
ma-50	309	14			PROPN
ma-50	309	15	×(ρj)2	×(ρj)2	VERB
ma-50	309	16	(	(	PUNCT
ma-50	309	17	`	`	PUNCT
ma-50	309	18	s∏	s∏	PROPN
ma-50	309	19	i=1	i=1	X
ma-50	309	20	(	(	PUNCT
ma-50	309	21	1−	1−	NUM
ma-50	309	22	α`s−1n	α`s−1n	NUM
ma-50	309	23	,	,	PUNCT
ma-50	309	24	i	i	PRON
ma-50	309	25	)	)	PUNCT
ma-50	309	26	(	(	PUNCT
ma-50	309	27	ρj)2	ρj)2	PROPN
ma-50	309	28	)	)	PUNCT
ma-50	310	1	‖xn	‖xn	PROPN
ma-50	310	2	−	−	PROPN
ma-50	310	3	q‖2	q‖2	VERB
ma-50	310	4	<	<	X
ma-50	310	5	α1n,1‖xn	α1n,1‖xn	NUM
ma-50	310	6	−	−	PROPN
ma-50	310	7	q‖2	q‖2	PROPN
ma-50	311	1	+	+	CCONJ
ma-50	311	2	`	`	PUNCT
ma-50	311	3	2∑	2∑	NUM
ma-50	311	4	j=2	j=2	PROPN
ma-50	311	5	α1n	α1n	PROPN
ma-50	311	6	,	,	PUNCT
ma-50	311	7	j	j	PROPN
ma-50	312	1	j−1∏	j−1∏	PROPN
ma-50	312	2	i=1	i=1	PROPN
ma-50	313	1	(	(	PUNCT
ma-50	313	2	1−	1−	NUM
ma-50	313	3	α1n	α1n	PROPN
ma-50	313	4	,	,	PUNCT
ma-50	313	5	i)α2n,1‖xn	i)α2n,1‖xn	PROPN
ma-50	313	6	−	−	PROPN
ma-50	313	7	q‖2	q‖2	VERB
ma-50	313	8	+	+	CCONJ
ma-50	314	1	`	`	PUNCT
ma-50	315	1	2∏	2∏	NUM
ma-50	315	2	i=1	i=1	PROPN
ma-50	315	3	(	(	PUNCT
ma-50	315	4	1−	1−	NUM
ma-50	315	5	α1n	α1n	NOUN
ma-50	315	6	,	,	PUNCT
ma-50	315	7	i)α2n,1‖xn	i)α2n,1‖xn	PROPN
ma-50	315	8	−	−	PROPN
ma-50	315	9	q‖2	q‖2	VERB
ma-50	315	10	+	+	CCONJ
ma-50	315	11	(	(	PUNCT
ma-50	315	12	`	`	PUNCT
ma-50	315	13	2∑	2∑	X
ma-50	315	14	j=2	j=2	X
ma-50	315	15	α1n	α1n	PROPN
ma-50	315	16	,	,	PUNCT
ma-50	315	17	j	j	PROPN
ma-50	316	1	j−1∏	j−1∏	PROPN
ma-50	316	2	i=1	i=1	PROPN
ma-50	317	1	(	(	PUNCT
ma-50	317	2	1−	1−	NUM
ma-50	317	3	α1n	α1n	PROPN
ma-50	317	4	,	,	PUNCT
ma-50	317	5	i	i	NOUN
ma-50	317	6	)	)	PUNCT
ma-50	317	7	)	)	PUNCT
ma-50	317	8	(	(	PUNCT
ma-50	317	9	1−	1−	NUM
ma-50	317	10	α2n,1	α2n,1	NUM
ma-50	317	11	−	−	PROPN
ma-50	317	12	`	`	PUNCT
ma-50	317	13	3∏	3∏	NUM
ma-50	317	14	i=1	i=1	PROPN
ma-50	317	15	(	(	PUNCT
ma-50	317	16	1−	1−	NUM
ma-50	317	17	α2n	α2n	PROPN
ma-50	317	18	,	,	PUNCT
ma-50	317	19	i	i	NOUN
ma-50	317	20	)	)	PUNCT
ma-50	317	21	)	)	PUNCT
ma-50	318	1	α3n,1‖xn	α3n,1‖xn	NUM
ma-50	318	2	−	−	PROPN
ma-50	319	1	q‖2	q‖2	PROPN
ma-50	319	2	+	+	CCONJ
ma-50	319	3	(	(	PUNCT
ma-50	319	4	`	`	PUNCT
ma-50	319	5	2∑	2∑	X
ma-50	319	6	j=2	j=2	X
ma-50	319	7	α1n	α1n	PROPN
ma-50	319	8	,	,	PUNCT
ma-50	319	9	j	j	PROPN
ma-50	320	1	j−1∏	j−1∏	PROPN
ma-50	320	2	i=1	i=1	PROPN
ma-50	321	1	(	(	PUNCT
ma-50	321	2	1−	1−	NUM
ma-50	321	3	α1n	α1n	PROPN
ma-50	321	4	,	,	PUNCT
ma-50	321	5	i	i	NOUN
ma-50	321	6	)	)	PUNCT
ma-50	321	7	)	)	PUNCT
ma-50	322	1	(	(	PUNCT
ma-50	322	2	`	`	PUNCT
ma-50	322	3	3∏	3∏	NUM
ma-50	322	4	i=1	i=1	X
ma-50	322	5	(	(	PUNCT
ma-50	322	6	1−	1−	NUM
ma-50	322	7	α2n	α2n	PROPN
ma-50	322	8	,	,	PUNCT
ma-50	322	9	i	i	NOUN
ma-50	322	10	)	)	PUNCT
ma-50	322	11	)	)	PUNCT
ma-50	323	1	‖xn	‖xn	PROPN
ma-50	323	2	−	−	PROPN
ma-50	323	3	q‖2	q‖2	PROPN
ma-50	323	4	+	+	CCONJ
ma-50	323	5	(	(	PUNCT
ma-50	323	6	1−	1−	NUM
ma-50	323	7	α2n,1	α2n,1	NUM
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ma-50	388	3	‖xn	‖xn	PROPN
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ma-50	388	6	(	(	PUNCT
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ma-50	390	2	h	h	PRON
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ma-50	390	7	,	,	PUNCT
ma-50	390	8	γ	γ	X
ma-50	390	9	:	:	PUNCT
ma-50	390	10	h	h	PROPN
ma-50	390	11	−→	−→	NOUN
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ma-50	390	16	-	-	PUNCT
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ma-50	390	18	of	of	ADP
ma-50	390	19	h	h	NOUN
ma-50	390	20	satisfying	satisfy	VERB
ma-50	390	21	the	the	DET
ma-50	390	22	contractive	contractive	ADJ
ma-50	390	23	condition	condition	NOUN
ma-50	390	24	‖γjx	‖γjx	NOUN
ma-50	390	25	−	−	PROPN
ma-50	390	26	γjy‖	γjy‖	PUNCT
ma-50	390	27	≤	≤	NUM
ma-50	391	1	ρj‖x	ρj‖x	NUM
ma-50	391	2	−	−	NUM
ma-50	392	1	y‖+	y‖+	INTJ
ma-50	392	2	j∑	j∑	PROPN
ma-50	392	3	i=0	i=0	PROPN
ma-50	392	4	(	(	PUNCT
ma-50	392	5	j	j	NOUN
ma-50	392	6	i	i	PROPN
ma-50	392	7	)	)	PUNCT
ma-50	393	1	ρj−1φ(‖x	ρj−1φ(‖x	PROPN
ma-50	394	1	−	−	PROPN
ma-50	394	2	γx‖	γx‖	PROPN
ma-50	394	3	)	)	PUNCT
ma-50	394	4	,	,	PUNCT
ma-50	394	5	(	(	PUNCT
ma-50	394	6	3.10	3.10	NUM
ma-50	394	7	)	)	PUNCT
ma-50	394	8	where	where	SCONJ
ma-50	394	9	x	x	X
ma-50	394	10	,	,	PUNCT
ma-50	394	11	y	y	PROPN
ma-50	394	12	∈	∈	PROPN
ma-50	394	13	h	h	NOUN
ma-50	394	14	,	,	PUNCT
ma-50	394	15	0	0	NUM
ma-50	394	16	≤	≤	NUM
ma-50	394	17	ρj	ρj	CCONJ
ma-50	394	18	<	<	X
ma-50	394	19	1	1	NUM
ma-50	394	20	,	,	PUNCT
ma-50	394	21	and	and	CCONJ
ma-50	394	22	let	let	VERB
ma-50	394	23	φ	φ	PRON
ma-50	394	24	retain	retain	VERB
ma-50	394	25	its	its	PRON
ma-50	394	26	usual	usual	ADJ
ma-50	394	27	meaning	meaning	NOUN
ma-50	394	28	with	with	ADP
ma-50	394	29	φ(0	φ(0	ADJ
ma-50	394	30	)	)	PUNCT
ma-50	394	31	=	=	SYM
ma-50	394	32	0	0	NUM
ma-50	394	33	and	and	CCONJ
ma-50	394	34	φ(mt	φ(mt	NOUN
ma-50	394	35	)	)	PUNCT
ma-50	394	36	=	=	SYM
ma-50	394	37	mφ(t),m	mφ(t),m	NOUN
ma-50	394	38	≥	≥	NUM
ma-50	394	39	0	0	NUM
ma-50	394	40	,	,	PUNCT
ma-50	394	41	t	t	PROPN
ma-50	394	42	∈	∈	PROPN
ma-50	394	43	r+	r+	NOUN
ma-50	394	44	.	.	PUNCT
ma-50	395	1	for	for	ADP
ma-50	395	2	arbitrary	arbitrary	ADJ
ma-50	395	3	x0	x0	PROPN
ma-50	395	4	∈	∈	PROPN
ma-50	395	5	h	h	NOUN
ma-50	395	6	,	,	PUNCT
ma-50	395	7	let	let	VERB
ma-50	395	8	{	{	PUNCT
ma-50	395	9	ωn}∞n=0	ωn}∞n=0	NUM
ma-50	395	10	be	be	AUX
ma-50	395	11	the	the	DET
ma-50	395	12	multistep	multistep	ADJ
ma-50	395	13	di	di	ADJ
ma-50	395	14	-	-	PUNCT
ma-50	395	15	iteration	iteration	NOUN
ma-50	395	16	scheme	scheme	NOUN
ma-50	395	17	defined	define	VERB
ma-50	395	18	by	by	ADP
ma-50	395	19	(	(	PUNCT
ma-50	395	20	3.2	3.2	NUM
ma-50	395	21	)	)	PUNCT
ma-50	395	22	.	.	PUNCT
ma-50	396	1	then	then	ADV
ma-50	396	2	,	,	PUNCT
ma-50	396	3	(	(	PUNCT
ma-50	396	4	i	i	NOUN
ma-50	396	5	)	)	PUNCT
ma-50	396	6	γ	γ	PROPN
ma-50	396	7	defined	define	VERB
ma-50	396	8	by	by	ADP
ma-50	396	9	(	(	PUNCT
ma-50	396	10	3.10	3.10	NUM
ma-50	396	11	)	)	PUNCT
ma-50	396	12	has	have	VERB
ma-50	396	13	a	a	DET
ma-50	396	14	fixed	fix	VERB
ma-50	396	15	point	point	NOUN
ma-50	396	16	q	q	NOUN
ma-50	396	17	;	;	PUNCT
ma-50	396	18	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	396	19	eur	eur	NOUN
ma-50	396	20	.	.	PUNCT
ma-50	397	1	j.	j.	PROPN
ma-50	397	2	math	math	PROPN
ma-50	397	3	.	.	PUNCT
ma-50	398	1	anal	anal	PROPN
ma-50	398	2	.	.	PUNCT
ma-50	399	1	10.28924	10.28924	NUM
ma-50	399	2	/	/	SYM
ma-50	399	3	ada	ada	PROPN
ma-50	399	4	/	/	SYM
ma-50	399	5	ma.2.1	ma.2.1	PROPN
ma-50	399	6	15	15	NUM
ma-50	399	7	(	(	PUNCT
ma-50	399	8	i	i	PRON
ma-50	399	9	i	i	PROPN
ma-50	399	10	)	)	PUNCT
ma-50	399	11	the	the	DET
ma-50	399	12	multistep	multistep	ADJ
ma-50	399	13	sh	sh	NOUN
ma-50	399	14	-	-	PUNCT
ma-50	399	15	iteration	iteration	NOUN
ma-50	399	16	scheme	scheme	NOUN
ma-50	399	17	converges	converge	NOUN
ma-50	399	18	strongly	strongly	ADV
ma-50	399	19	tp	tp	ADP
ma-50	399	20	q	q	PROPN
ma-50	399	21	∈	∈	PROPN
ma-50	399	22	γ	γ	X
ma-50	399	23	.	.	PUNCT
ma-50	399	24	proof	proof	NOUN
ma-50	399	25	.	.	PUNCT
ma-50	400	1	we	we	PRON
ma-50	400	2	first	first	ADV
ma-50	400	3	show	show	VERB
ma-50	400	4	that	that	SCONJ
ma-50	400	5	γ	γ	NOUN
ma-50	400	6	satisfying	satisfy	VERB
ma-50	400	7	condition	condition	NOUN
ma-50	400	8	of	of	ADP
ma-50	400	9	(	(	PUNCT
ma-50	400	10	3.10	3.10	NUM
ma-50	400	11	)	)	PUNCT
ma-50	400	12	has	have	VERB
ma-50	400	13	a	a	DET
ma-50	400	14	fixed	fix	VERB
ma-50	400	15	point	point	NOUN
ma-50	400	16	.	.	PUNCT
ma-50	401	1	assume	assume	VERB
ma-50	401	2	there	there	PRON
ma-50	401	3	existstwo	existstwo	PROPN
ma-50	401	4	points	point	NOUN
ma-50	401	5	q1	q1	PROPN
ma-50	401	6	,	,	PUNCT
ma-50	401	7	q2	q2	PROPN
ma-50	401	8	∈	∈	PROPN
ma-50	401	9	f	f	X
ma-50	401	10	(	(	PUNCT
ma-50	401	11	γ	γ	PROPN
ma-50	401	12	)	)	PUNCT
ma-50	401	13	with	with	ADP
ma-50	401	14	0	0	NUM
ma-50	401	15	<	<	X
ma-50	401	16	‖q1	‖q1	PROPN
ma-50	401	17	−	−	PROPN
ma-50	401	18	q2‖.	q2‖.	NOUN
ma-50	401	19	then	then	ADV
ma-50	401	20	,	,	PUNCT
ma-50	401	21	we	we	PRON
ma-50	401	22	have	have	VERB
ma-50	401	23	0	0	NUM
ma-50	401	24	<	<	X
ma-50	401	25	‖q1	‖q1	PROPN
ma-50	402	1	−	−	PROPN
ma-50	403	1	q2‖	q2‖	PROPN
ma-50	403	2	=	=	SYM
ma-50	403	3	‖γjq1	‖γjq1	ADP
ma-50	403	4	−	−	PROPN
ma-50	403	5	γjq2‖	γjq2‖	VERB
ma-50	403	6	≤	≤	NOUN
ma-50	403	7	ρj‖q1	ρj‖q1	NOUN
ma-50	403	8	−	−	PROPN
ma-50	404	1	q2‖+	q2‖+	NOUN
ma-50	404	2	j∑	j∑	PROPN
ma-50	404	3	i=0	i=0	PROPN
ma-50	404	4	(	(	PUNCT
ma-50	404	5	j	j	NOUN
ma-50	404	6	i	i	PROPN
ma-50	404	7	)	)	PUNCT
ma-50	405	1	ρj−1φ(‖q	ρj−1φ(‖q	NOUN
ma-50	405	2	√	√	NUM
ma-50	405	3	1−	1−	NUM
ma-50	405	4	γq1‖	γq1‖	PROPN
ma-50	405	5	)	)	PUNCT
ma-50	406	1	=	=	SYM
ma-50	406	2	ρj‖q1	ρj‖q1	PROPN
ma-50	406	3	−	−	PROPN
ma-50	407	1	q2‖+	q2‖+	NOUN
ma-50	407	2	j∑	j∑	PROPN
ma-50	407	3	i=0	i=0	PROPN
ma-50	407	4	(	(	PUNCT
ma-50	407	5	j	j	PROPN
ma-50	407	6	i	i	PROPN
ma-50	407	7	)	)	PUNCT
ma-50	407	8	ρj−1φ(0	ρj−1φ(0	PROPN
ma-50	407	9	)	)	PUNCT
ma-50	407	10	⇒	⇒	NOUN
ma-50	407	11	(	(	PUNCT
ma-50	407	12	1−	1−	NUM
ma-50	407	13	ρj)ρj‖q1	ρj)ρj‖q1	PROPN
ma-50	407	14	−	−	PROPN
ma-50	407	15	q2‖	q2‖	VERB
ma-50	407	16	≤	≤	NOUN
ma-50	407	17	0	0	NUM
ma-50	407	18	.	.	PUNCT
ma-50	408	1	using	use	VERB
ma-50	408	2	the	the	DET
ma-50	408	3	fact	fact	NOUN
ma-50	408	4	that	that	SCONJ
ma-50	408	5	ρj	ρj	PRON
ma-50	408	6	∈	∈	PRON
ma-50	409	1	[	[	X
ma-50	409	2	[	[	X
ma-50	409	3	0	0	NUM
ma-50	409	4	,	,	PUNCT
ma-50	409	5	1	1	NUM
ma-50	409	6	)	)	PUNCT
ma-50	409	7	,	,	PUNCT
ma-50	409	8	we	we	PRON
ma-50	409	9	get	get	VERB
ma-50	409	10	0	0	PUNCT
ma-50	409	11	<	<	X
ma-50	410	1	1−	1−	NUM
ma-50	410	2	ρj	ρj	NOUN
ma-50	410	3	and	and	CCONJ
ma-50	410	4	‖q1	‖q1	PROPN
ma-50	410	5	−	−	PROPN
ma-50	410	6	q2‖	q2‖	VERB
ma-50	410	7	≤	≤	NOUN
ma-50	410	8	0.since	0.since	NUM
ma-50	411	1	the	the	DET
ma-50	411	2	norm	norm	NOUN
ma-50	411	3	is	be	AUX
ma-50	411	4	a	a	DET
ma-50	411	5	nonnegative	nonnegative	ADJ
ma-50	411	6	function	function	NOUN
ma-50	411	7	,	,	PUNCT
ma-50	411	8	we	we	PRON
ma-50	411	9	get	get	VERB
ma-50	411	10	‖q1	‖q1	PROPN
ma-50	411	11	−	−	PROPN
ma-50	411	12	q2‖	q2‖	PROPN
ma-50	411	13	=	=	SYM
ma-50	411	14	0	0	NUM
ma-50	411	15	;	;	PUNCT
ma-50	411	16	q1	q1	PROPN
ma-50	411	17	=	=	SYM
ma-50	411	18	q2	q2	PROPN
ma-50	411	19	=	=	SYM
ma-50	411	20	q(say	q(say	PROPN
ma-50	411	21	)	)	PUNCT
ma-50	411	22	.	.	PUNCT
ma-50	412	1	therefore	therefore	ADV
ma-50	412	2	,	,	PUNCT
ma-50	412	3	γconverges	γconverge	NOUN
ma-50	412	4	uniquely	uniquely	ADV
ma-50	412	5	to	to	ADP
ma-50	412	6	a	a	DET
ma-50	412	7	point	point	NOUN
ma-50	412	8	of	of	ADP
ma-50	412	9	f	f	PROPN
ma-50	412	10	(	(	PUNCT
ma-50	412	11	γ).now	γ).now	PROPN
ma-50	412	12	,	,	PUNCT
ma-50	412	13	we	we	PRON
ma-50	412	14	show	show	VERB
ma-50	412	15	that	that	SCONJ
ma-50	412	16	the	the	DET
ma-50	412	17	sequence	sequence	NOUN
ma-50	412	18	defined	define	VERB
ma-50	412	19	by	by	ADP
ma-50	412	20	(	(	PUNCT
ma-50	412	21	3.1	3.1	NUM
ma-50	412	22	)	)	PUNCT
ma-50	412	23	converges	converge	VERB
ma-50	412	24	strongly	strongly	ADV
ma-50	412	25	to	to	ADP
ma-50	412	26	q	q	PROPN
ma-50	412	27	∈	∈	PROPN
ma-50	412	28	f	f	X
ma-50	412	29	(	(	PUNCT
ma-50	412	30	γ	γ	PROPN
ma-50	412	31	)	)	PUNCT
ma-50	412	32	.	.	PUNCT
ma-50	413	1	using	use	VERB
ma-50	413	2	(	(	PUNCT
ma-50	413	3	3.2)and	3.2)and	NUM
ma-50	413	4	proposition	proposition	NOUN
ma-50	413	5	2.4	2.4	NUM
ma-50	413	6	with	with	ADP
ma-50	413	7	xn+1	xn+1	PROPN
ma-50	413	8	=	=	SYM
ma-50	413	9	y	y	PROPN
ma-50	413	10	,	,	PUNCT
ma-50	413	11	u	u	NOUN
ma-50	413	12	=	=	X
ma-50	413	13	q	q	X
ma-50	413	14	,	,	PUNCT
ma-50	413	15	y1n	y1n	PROPN
ma-50	413	16	=	=	SYM
ma-50	413	17	t	t	PROPN
ma-50	413	18	,	,	PUNCT
ma-50	413	19	j	j	X
ma-50	414	1	=	=	PUNCT
ma-50	414	2	i	i	PROPN
ma-50	414	3	,	,	PUNCT
ma-50	414	4	k	k	X
ma-50	414	5	=	=	PUNCT
ma-50	415	1	1,γj−1y1n	1,γj−1y1n	NUM
ma-50	415	2	=	=	SYM
ma-50	415	3	vj−1	vj−1	PROPN
ma-50	415	4	and	and	CCONJ
ma-50	415	5	γ`1y1n	γ`1y1n	PROPN
ma-50	415	6	=	=	SYM
ma-50	415	7	v	v	PROPN
ma-50	415	8	,	,	PUNCT
ma-50	415	9	weget	weget	NOUN
ma-50	415	10	‖xn+1	‖xn+1	PUNCT
ma-50	415	11	−	−	PROPN
ma-50	415	12	q‖2	q‖2	VERB
ma-50	416	1	=	=	PUNCT
ma-50	416	2	δn,1‖y1n	δn,1‖y1n	PROPN
ma-50	416	3	−	−	PROPN
ma-50	416	4	q‖2	q‖2	PROPN
ma-50	416	5	+	+	CCONJ
ma-50	416	6	`	`	PUNCT
ma-50	416	7	1∑	1∑	NUM
ma-50	416	8	j=2	j=2	PROPN
ma-50	416	9	δn	δn	PROPN
ma-50	416	10	,	,	PUNCT
ma-50	416	11	j	j	PROPN
ma-50	416	12	j−1∏	j−1∏	PROPN
ma-50	416	13	i=1	i=1	PROPN
ma-50	417	1	(	(	PUNCT
ma-50	417	2	1−	1−	NUM
ma-50	417	3	δn	δn	NOUN
ma-50	417	4	,	,	PUNCT
ma-50	417	5	i)‖γj−1y1n	i)‖γj−1y1n	NOUN
ma-50	417	6	−	−	NOUN
ma-50	418	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	418	2	+	+	CCONJ
ma-50	418	3	`	`	PUNCT
ma-50	418	4	1∏	1∏	NUM
ma-50	418	5	i=1	i=1	X
ma-50	418	6	(	(	PUNCT
ma-50	418	7	1−	1−	NUM
ma-50	418	8	δn	δn	NOUN
ma-50	418	9	,	,	PUNCT
ma-50	418	10	i)‖γ`1y1n	i)‖γ`1y1n	PROPN
ma-50	418	11	−	−	PROPN
ma-50	418	12	γ`1q‖2	γ`1q‖2	PUNCT
ma-50	418	13	(	(	PUNCT
ma-50	418	14	3.11	3.11	NUM
ma-50	418	15	)	)	PUNCT
ma-50	418	16	but	but	CCONJ
ma-50	418	17	from	from	ADP
ma-50	418	18	(	(	PUNCT
ma-50	418	19	3.10	3.10	NUM
ma-50	418	20	)	)	PUNCT
ma-50	418	21	,	,	PUNCT
ma-50	418	22	with	with	ADP
ma-50	418	23	y	y	PROPN
ma-50	418	24	=	=	PUNCT
ma-50	418	25	y1n	y1n	PROPN
ma-50	418	26	,	,	PUNCT
ma-50	418	27	we	we	PRON
ma-50	418	28	have	have	VERB
ma-50	418	29	‖γj−1y1n	‖γj−1y1n	ADP
ma-50	418	30	−	−	NOUN
ma-50	418	31	γj−1q‖	γj−1q‖	NOUN
ma-50	418	32	≤	≤	PUNCT
ma-50	418	33	ρj‖y1n	ρj‖y1n	PROPN
ma-50	418	34	−	−	PROPN
ma-50	418	35	q‖+	q‖+	ADJ
ma-50	418	36	j∑	j∑	PROPN
ma-50	418	37	i=0	i=0	PROPN
ma-50	418	38	(	(	PUNCT
ma-50	418	39	j	j	NOUN
ma-50	418	40	i	i	PROPN
ma-50	418	41	)	)	PUNCT
ma-50	419	1	ρj−1φ(‖q	ρj−1φ(‖q	NOUN
ma-50	419	2	−	−	PROPN
ma-50	419	3	γq‖	γq‖	PROPN
ma-50	419	4	)	)	PUNCT
ma-50	420	1	=	=	SYM
ma-50	420	2	ρj‖y1n	ρj‖y1n	PROPN
ma-50	420	3	−	−	NOUN
ma-50	421	1	q‖	q‖	NOUN
ma-50	421	2	(	(	PUNCT
ma-50	421	3	3.12	3.12	NUM
ma-50	421	4	)	)	PUNCT
ma-50	421	5	proposition	proposition	NOUN
ma-50	421	6	2.3	2.3	NUM
ma-50	421	7	,	,	PUNCT
ma-50	421	8	(	(	PUNCT
ma-50	421	9	3.11	3.11	NUM
ma-50	421	10	)	)	PUNCT
ma-50	421	11	and	and	CCONJ
ma-50	421	12	(	(	PUNCT
ma-50	421	13	3.12	3.12	NUM
ma-50	421	14	)	)	PUNCT
ma-50	421	15	imply	imply	ADV
ma-50	421	16	‖xn+1	‖xn+1	PUNCT
ma-50	421	17	−	−	PROPN
ma-50	421	18	q‖2	q‖2	VERB
ma-50	421	19	≤	≤	PUNCT
ma-50	421	20	δ1n,1‖y1n	δ1n,1‖y1n	PROPN
ma-50	421	21	−	−	PROPN
ma-50	421	22	q‖2	q‖2	VERB
ma-50	421	23	+	+	CCONJ
ma-50	421	24	`	`	PUNCT
ma-50	421	25	1∑	1∑	NUM
ma-50	421	26	j=2	j=2	PROPN
ma-50	421	27	δn	δn	NOUN
ma-50	421	28	,	,	PUNCT
ma-50	421	29	j(ρ	j(ρ	PROPN
ma-50	421	30	j)2	j)2	VERB
ma-50	421	31	j−1∏	j−1∏	ADP
ma-50	421	32	i=1	i=1	PROPN
ma-50	422	1	(	(	PUNCT
ma-50	422	2	1−	1−	NUM
ma-50	422	3	δn	δn	NOUN
ma-50	422	4	,	,	PUNCT
ma-50	422	5	i)‖y1n	i)‖y1n	PROPN
ma-50	422	6	−	−	PROPN
ma-50	422	7	q‖2	q‖2	VERB
ma-50	422	8	+	+	CCONJ
ma-50	423	1	`	`	PUNCT
ma-50	424	1	1∏	1∏	NUM
ma-50	424	2	i=1	i=1	PROPN
ma-50	424	3	(	(	PUNCT
ma-50	424	4	1−	1−	NUM
ma-50	424	5	δn	δn	NOUN
ma-50	424	6	,	,	PUNCT
ma-50	424	7	i)(ρj)2‖y1n	i)(ρj)2‖y1n	PROPN
ma-50	424	8	−	−	PROPN
ma-50	424	9	q‖2	q‖2	PROPN
ma-50	424	10	=	=	SYM
ma-50	424	11	δ1n,1‖y1n	δ1n,1‖y1n	PROPN
ma-50	424	12	−	−	PROPN
ma-50	424	13	q‖2	q‖2	PROPN
ma-50	424	14	+	+	CCONJ
ma-50	424	15	(	(	PUNCT
ma-50	424	16	1−	1−	NUM
ma-50	424	17	δ1n,1	δ1n,1	NOUN
ma-50	424	18	−	−	NUM
ma-50	424	19	`	`	PUNCT
ma-50	424	20	1∏	1∏	NUM
ma-50	424	21	i=1	i=1	PROPN
ma-50	424	22	(	(	PUNCT
ma-50	424	23	1−	1−	NUM
ma-50	424	24	δn	δn	NOUN
ma-50	424	25	,	,	PUNCT
ma-50	424	26	i)(ρj)2	i)(ρj)2	ADJ
ma-50	424	27	)	)	PUNCT
ma-50	424	28	‖y1n	‖y1n	PROPN
ma-50	424	29	−	−	PROPN
ma-50	424	30	q‖2	q‖2	PROPN
ma-50	424	31	+	+	CCONJ
ma-50	424	32	`	`	PUNCT
ma-50	424	33	1∏	1∏	NUM
ma-50	424	34	i=1	i=1	PROPN
ma-50	424	35	(	(	PUNCT
ma-50	424	36	1−	1−	NUM
ma-50	424	37	δn	δn	NOUN
ma-50	424	38	,	,	PUNCT
ma-50	424	39	i)(ρj)2‖y1n	i)(ρj)2‖y1n	PROPN
ma-50	424	40	−	−	PROPN
ma-50	424	41	q‖2	q‖2	PROPN
ma-50	424	42	=	=	SYM
ma-50	424	43	‖y1n	‖y1n	PROPN
ma-50	424	44	−	−	PROPN
ma-50	424	45	q‖2	q‖2	PROPN
ma-50	424	46	(	(	PUNCT
ma-50	424	47	3.13	3.13	NUM
ma-50	424	48	)	)	PUNCT
ma-50	424	49	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	424	50	eur	eur	NOUN
ma-50	424	51	.	.	PUNCT
ma-50	425	1	j.	j.	PROPN
ma-50	425	2	math	math	PROPN
ma-50	425	3	.	.	PUNCT
ma-50	426	1	anal	anal	PROPN
ma-50	426	2	.	.	PUNCT
ma-50	427	1	10.28924	10.28924	NUM
ma-50	427	2	/	/	SYM
ma-50	427	3	ada	ada	PROPN
ma-50	427	4	/	/	SYM
ma-50	427	5	ma.2.1	ma.2.1	PROPN
ma-50	427	6	16since	16since	NUM
ma-50	427	7	`	`	PUNCT
ma-50	427	8	1	1	NUM
ma-50	427	9	,	,	PUNCT
ma-50	427	10	`	`	PUNCT
ma-50	427	11	k	k	X
ma-50	427	12	are	be	AUX
ma-50	427	13	fixed	fix	VERB
ma-50	427	14	integers	integer	NOUN
ma-50	427	15	and	and	CCONJ
ma-50	427	16	αsn	αsn	NOUN
ma-50	427	17	,	,	PUNCT
ma-50	427	18	i	i	PRON
ma-50	427	19	∈	∈	VERB
ma-50	428	1	[	[	X
ma-50	428	2	0	0	NUM
ma-50	428	3	,	,	PUNCT
ma-50	428	4	1	1	NUM
ma-50	428	5	]	]	PUNCT
ma-50	428	6	for	for	ADP
ma-50	428	7	each	each	DET
ma-50	428	8	s	s	PART
ma-50	428	9	,	,	PUNCT
ma-50	428	10	we	we	PRON
ma-50	428	11	have	have	AUX
ma-50	428	12	(	(	PUNCT
ma-50	428	13	using	use	VERB
ma-50	428	14	proposition	proposition	NOUN
ma-50	428	15	2.3	2.3	NUM
ma-50	428	16	,	,	PUNCT
ma-50	428	17	(	(	PUNCT
ma-50	428	18	3.2)and	3.2)and	NUM
ma-50	428	19	(	(	PUNCT
ma-50	428	20	3.12	3.12	NUM
ma-50	428	21	)	)	PUNCT
ma-50	428	22	)	)	PUNCT
ma-50	429	1	the	the	DET
ma-50	429	2	following	follow	VERB
ma-50	429	3	estimates	estimate	NOUN
ma-50	429	4	for	for	ADP
ma-50	429	5	n	n	NOUN
ma-50	429	6	=	=	SYM
ma-50	429	7	1	1	NUM
ma-50	429	8	,	,	PUNCT
ma-50	429	9	2	2	NUM
ma-50	429	10	,	,	PUNCT
ma-50	429	11	·	·	PUNCT
ma-50	429	12	·	·	PUNCT
ma-50	429	13	·	·	PUNCT
ma-50	429	14	and	and	CCONJ
ma-50	429	15	1	1	NUM
ma-50	429	16	≤	≤	NOUN
ma-50	429	17	s	s	PART
ma-50	429	18	≤	≤	NUM
ma-50	429	19	k	k	NOUN
ma-50	430	1	−	−	PROPN
ma-50	430	2	1	1	NUM
ma-50	430	3	:	:	PUNCT
ma-50	430	4	‖y1n	‖y1n	PROPN
ma-50	430	5	−	−	PROPN
ma-50	430	6	q‖2	q‖2	VERB
ma-50	430	7	≤	≤	NUM
ma-50	430	8	α1n,1‖y2n	α1n,1‖y2n	NOUN
ma-50	430	9	−	−	NOUN
ma-50	430	10	q‖2	q‖2	PROPN
ma-50	431	1	+	+	CCONJ
ma-50	431	2	`	`	PUNCT
ma-50	431	3	2∑	2∑	NUM
ma-50	431	4	j=2	j=2	PROPN
ma-50	431	5	α1n	α1n	PROPN
ma-50	431	6	,	,	PUNCT
ma-50	431	7	j	j	PROPN
ma-50	432	1	j−1∏	j−1∏	PROPN
ma-50	432	2	i=1	i=1	PROPN
ma-50	433	1	(	(	PUNCT
ma-50	433	2	1−	1−	NUM
ma-50	433	3	α1n	α1n	PROPN
ma-50	433	4	,	,	PUNCT
ma-50	433	5	i)‖γj−1y2n	i)‖γj−1y2n	VERB
ma-50	434	1	−	−	PROPN
ma-50	434	2	γj−1q‖2	γj−1q‖2	PROPN
ma-50	434	3	+	+	CCONJ
ma-50	434	4	`	`	PUNCT
ma-50	434	5	2∏	2∏	NUM
ma-50	434	6	i=1	i=1	PROPN
ma-50	434	7	(	(	PUNCT
ma-50	434	8	1−	1−	NUM
ma-50	434	9	α1n	α1n	PROPN
ma-50	434	10	,	,	PUNCT
ma-50	434	11	i)‖γ`2y2n	i)‖γ`2y2n	PROPN
ma-50	434	12	−	−	PROPN
ma-50	434	13	γ`2q‖2	γ`2q‖2	VERB
ma-50	434	14	≤	≤	PUNCT
ma-50	435	1	α1n,1	α1n,1	PROPN
ma-50	435	2	+	+	CCONJ
ma-50	435	3	`	`	PUNCT
ma-50	435	4	2∑	2∑	NUM
ma-50	435	5	j=2	j=2	PROPN
ma-50	435	6	α1n	α1n	PROPN
ma-50	435	7	,	,	PUNCT
ma-50	435	8	j(ρ	j(ρ	PROPN
ma-50	435	9	j)2	j)2	VERB
ma-50	435	10	j−1∏	j−1∏	ADP
ma-50	435	11	i=1	i=1	PROPN
ma-50	435	12	(	(	PUNCT
ma-50	435	13	1−	1−	NUM
ma-50	435	14	α1n	α1n	PROPN
ma-50	435	15	,	,	PUNCT
ma-50	435	16	i	i	NOUN
ma-50	435	17	)	)	PUNCT
ma-50	436	1	+	+	CCONJ
ma-50	436	2	`	`	PUNCT
ma-50	436	3	2∏	2∏	NUM
ma-50	436	4	i=1	i=1	PROPN
ma-50	436	5	(	(	PUNCT
ma-50	436	6	1−	1−	NUM
ma-50	436	7	α1n	α1n	NOUN
ma-50	436	8	,	,	PUNCT
ma-50	436	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	436	10			PROPN
ma-50	436	11	‖y2n	‖y2n	PROPN
ma-50	436	12	−	−	PROPN
ma-50	436	13	q‖2	q‖2	VERB
ma-50	436	14	≤	≤	PUNCT
ma-50	436	15	α1n,1	α1n,1	PROPN
ma-50	436	16	+	+	CCONJ
ma-50	436	17	`	`	PUNCT
ma-50	436	18	2∑	2∑	NUM
ma-50	436	19	j=2	j=2	SYM
ma-50	436	20	α2n	α2n	PROPN
ma-50	436	21	,	,	PUNCT
ma-50	436	22	j(ρ	j(ρ	PROPN
ma-50	436	23	j)2	j)2	VERB
ma-50	436	24	j−1∏	j−1∏	ADP
ma-50	436	25	i=1	i=1	PROPN
ma-50	436	26	(	(	PUNCT
ma-50	436	27	1−	1−	NUM
ma-50	436	28	α1n	α1n	PROPN
ma-50	436	29	,	,	PUNCT
ma-50	436	30	i	i	NOUN
ma-50	436	31	)	)	PUNCT
ma-50	437	1	+	+	CCONJ
ma-50	437	2	`	`	PUNCT
ma-50	437	3	2∏	2∏	NUM
ma-50	437	4	i=1	i=1	PROPN
ma-50	437	5	(	(	PUNCT
ma-50	437	6	1−	1−	NUM
ma-50	437	7	α1n	α1n	NOUN
ma-50	437	8	,	,	PUNCT
ma-50	437	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	437	10	[α2n,1‖y3n	[α2n,1‖y3n	NOUN
ma-50	437	11	−	−	X
ma-50	438	1	q‖2	q‖2	PROPN
ma-50	438	2	+	+	CCONJ
ma-50	438	3	`	`	PUNCT
ma-50	438	4	3∑	3∑	NUM
ma-50	438	5	j=2	j=2	PROPN
ma-50	438	6	α2n	α2n	PROPN
ma-50	438	7	,	,	PUNCT
ma-50	438	8	j	j	PROPN
ma-50	439	1	j−1∏	j−1∏	PROPN
ma-50	439	2	i=1	i=1	PROPN
ma-50	440	1	(	(	PUNCT
ma-50	440	2	1−	1−	NUM
ma-50	440	3	α2n	α2n	PROPN
ma-50	440	4	,	,	PUNCT
ma-50	440	5	i)‖γj−1y3n	i)‖γj−1y3n	PROPN
ma-50	440	6	−	−	PROPN
ma-50	441	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	441	2	+	+	CCONJ
ma-50	441	3	`	`	PUNCT
ma-50	441	4	3∏	3∏	NUM
ma-50	441	5	i=1	i=1	X
ma-50	441	6	(	(	PUNCT
ma-50	441	7	1−	1−	NUM
ma-50	441	8	α2n	α2n	PROPN
ma-50	441	9	,	,	PUNCT
ma-50	441	10	i)‖γ`3y3n	i)‖γ`3y3n	PROPN
ma-50	441	11	−	−	PROPN
ma-50	441	12	γ`3q‖2	γ`3q‖2	NOUN
ma-50	441	13	]	]	PUNCT
ma-50	441	14	≤	≤	NUM
ma-50	441	15	α1n,1	α1n,1	PROPN
ma-50	441	16	+	+	CCONJ
ma-50	441	17	`	`	PUNCT
ma-50	441	18	2∑	2∑	NUM
ma-50	441	19	j=2	j=2	PROPN
ma-50	441	20	α1n	α1n	PROPN
ma-50	441	21	,	,	PUNCT
ma-50	441	22	j(ρ	j(ρ	PROPN
ma-50	441	23	j)2	j)2	VERB
ma-50	441	24	j−1∏	j−1∏	ADP
ma-50	441	25	i=1	i=1	PROPN
ma-50	441	26	(	(	PUNCT
ma-50	441	27	1−	1−	NUM
ma-50	441	28	α1n	α1n	PROPN
ma-50	441	29	,	,	PUNCT
ma-50	441	30	i	i	NOUN
ma-50	441	31	)	)	PUNCT
ma-50	442	1	+	+	CCONJ
ma-50	442	2	`	`	PUNCT
ma-50	442	3	2∏	2∏	NUM
ma-50	442	4	i=1	i=1	PROPN
ma-50	442	5	(	(	PUNCT
ma-50	442	6	1−	1−	NUM
ma-50	442	7	α1n	α1n	NOUN
ma-50	442	8	,	,	PUNCT
ma-50	442	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	442	10	[α2n,1‖y3n	[α2n,1‖y3n	NOUN
ma-50	442	11	−	−	X
ma-50	443	1	q‖2	q‖2	PROPN
ma-50	443	2	+	+	CCONJ
ma-50	443	3	`	`	PUNCT
ma-50	443	4	3∑	3∑	NUM
ma-50	443	5	j=2	j=2	PROPN
ma-50	443	6	α2n	α2n	PROPN
ma-50	443	7	,	,	PUNCT
ma-50	443	8	j(ρ	j(ρ	PROPN
ma-50	443	9	j)2	j)2	VERB
ma-50	443	10	j−1∏	j−1∏	ADP
ma-50	443	11	i=1	i=1	PROPN
ma-50	443	12	(	(	PUNCT
ma-50	443	13	1−	1−	NUM
ma-50	443	14	αn	αn	NOUN
ma-50	443	15	,	,	PUNCT
ma-50	443	16	i)‖y2n	i)‖y2n	NOUN
ma-50	443	17	−	−	PROPN
ma-50	444	1	q‖2	q‖2	PROPN
ma-50	444	2	+	+	CCONJ
ma-50	444	3	`	`	PUNCT
ma-50	444	4	3∏	3∏	NUM
ma-50	444	5	i=1	i=1	X
ma-50	444	6	(	(	PUNCT
ma-50	444	7	1−	1−	NUM
ma-50	444	8	α2n	α2n	PROPN
ma-50	444	9	,	,	PUNCT
ma-50	444	10	i)(ρj)2‖y3n	i)(ρj)2‖y3n	VERB
ma-50	444	11	−	−	PROPN
ma-50	444	12	q‖2	q‖2	VERB
ma-50	444	13	]	]	PUNCT
ma-50	444	14	=	=	SYM
ma-50	444	15	α1n,1	α1n,1	PROPN
ma-50	445	1	+	+	CCONJ
ma-50	445	2	`	`	PUNCT
ma-50	445	3	2∑	2∑	NUM
ma-50	445	4	j=2	j=2	PROPN
ma-50	445	5	α1n	α1n	PROPN
ma-50	445	6	,	,	PUNCT
ma-50	445	7	j(ρ	j(ρ	PROPN
ma-50	445	8	j)2	j)2	VERB
ma-50	445	9	j−1∏	j−1∏	ADP
ma-50	445	10	i=1	i=1	PROPN
ma-50	445	11	(	(	PUNCT
ma-50	445	12	1−	1−	NUM
ma-50	445	13	α1n	α1n	PROPN
ma-50	445	14	,	,	PUNCT
ma-50	445	15	i	i	NOUN
ma-50	445	16	)	)	PUNCT
ma-50	446	1	+	+	CCONJ
ma-50	446	2	`	`	PUNCT
ma-50	446	3	2∏	2∏	NUM
ma-50	446	4	i=1	i=1	PROPN
ma-50	446	5	(	(	PUNCT
ma-50	446	6	1−	1−	NUM
ma-50	446	7	α1n	α1n	NOUN
ma-50	446	8	,	,	PUNCT
ma-50	446	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	446	10			PROPN
ma-50	446	11	×	×	NOUN
ma-50	446	12	(	(	PUNCT
ma-50	446	13	α2n,1	α2n,1	NUM
ma-50	446	14	+	+	NOUN
ma-50	446	15	`	`	PUNCT
ma-50	446	16	3∑	3∑	NUM
ma-50	446	17	j=2	j=2	PROPN
ma-50	446	18	α2n	α2n	PROPN
ma-50	446	19	,	,	PUNCT
ma-50	446	20	j(ρ	j(ρ	PROPN
ma-50	446	21	j)2	j)2	VERB
ma-50	446	22	j−1∏	j−1∏	ADP
ma-50	446	23	i=1	i=1	PROPN
ma-50	446	24	(	(	PUNCT
ma-50	446	25	1−	1−	NUM
ma-50	446	26	αn	αn	NOUN
ma-50	446	27	,	,	PUNCT
ma-50	446	28	i	i	PRON
ma-50	446	29	)	)	PUNCT
ma-50	447	1	+	+	CCONJ
ma-50	447	2	`	`	PUNCT
ma-50	447	3	3∏	3∏	NUM
ma-50	447	4	i=1	i=1	X
ma-50	447	5	(	(	PUNCT
ma-50	447	6	1−	1−	NUM
ma-50	447	7	α2n	α2n	PROPN
ma-50	447	8	,	,	PUNCT
ma-50	447	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	447	10	)	)	PUNCT
ma-50	447	11	‖y3n	‖y3n	PROPN
ma-50	447	12	−	−	PROPN
ma-50	447	13	q‖2	q‖2	PROPN
ma-50	447	14	(	(	PUNCT
ma-50	447	15	3.14	3.14	NUM
ma-50	447	16	)	)	PUNCT
ma-50	447	17	≤	≤	PUNCT
ma-50	447	18	α1n,1	α1n,1	PROPN
ma-50	447	19	+	+	CCONJ
ma-50	447	20	`	`	PUNCT
ma-50	447	21	2∑	2∑	NUM
ma-50	447	22	j=2	j=2	PROPN
ma-50	447	23	α1n	α1n	PROPN
ma-50	447	24	,	,	PUNCT
ma-50	447	25	j(ρ	j(ρ	PROPN
ma-50	447	26	j)2	j)2	VERB
ma-50	447	27	j−1∏	j−1∏	ADP
ma-50	447	28	i=1	i=1	PROPN
ma-50	447	29	(	(	PUNCT
ma-50	447	30	1−	1−	NUM
ma-50	447	31	α1n	α1n	PROPN
ma-50	447	32	,	,	PUNCT
ma-50	447	33	i	i	NOUN
ma-50	447	34	)	)	PUNCT
ma-50	448	1	+	+	CCONJ
ma-50	448	2	`	`	PUNCT
ma-50	448	3	2∏	2∏	NUM
ma-50	448	4	i=1	i=1	PROPN
ma-50	448	5	(	(	PUNCT
ma-50	448	6	1−	1−	NUM
ma-50	448	7	α1n	α1n	NOUN
ma-50	448	8	,	,	PUNCT
ma-50	448	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	448	10			PROPN
ma-50	448	11	×	×	NOUN
ma-50	448	12	(	(	PUNCT
ma-50	448	13	α2n,1	α2n,1	NUM
ma-50	448	14	+	+	NOUN
ma-50	448	15	`	`	PUNCT
ma-50	448	16	3∑	3∑	NUM
ma-50	448	17	j=2	j=2	PROPN
ma-50	448	18	α2n	α2n	PROPN
ma-50	448	19	,	,	PUNCT
ma-50	448	20	j(ρ	j(ρ	PROPN
ma-50	448	21	j)2	j)2	VERB
ma-50	448	22	j−1∏	j−1∏	ADP
ma-50	448	23	i=1	i=1	PROPN
ma-50	448	24	(	(	PUNCT
ma-50	448	25	1−	1−	NUM
ma-50	448	26	αn	αn	NOUN
ma-50	448	27	,	,	PUNCT
ma-50	448	28	i	i	PRON
ma-50	448	29	)	)	PUNCT
ma-50	449	1	+	+	CCONJ
ma-50	449	2	`	`	PUNCT
ma-50	449	3	3∏	3∏	NUM
ma-50	449	4	i=1	i=1	X
ma-50	449	5	(	(	PUNCT
ma-50	449	6	1−	1−	NUM
ma-50	449	7	α2n	α2n	PROPN
ma-50	449	8	,	,	PUNCT
ma-50	449	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	449	10	)	)	PUNCT
ma-50	449	11	[	[	PUNCT
ma-50	449	12	α3n,1‖y4n	α3n,1‖y4n	NOUN
ma-50	449	13	−	−	PROPN
ma-50	449	14	q‖2	q‖2	VERB
ma-50	449	15	+	+	CCONJ
ma-50	449	16	`	`	PUNCT
ma-50	449	17	4∑	4∑	NUM
ma-50	449	18	j=2	j=2	PROPN
ma-50	449	19	α3n	α3n	PROPN
ma-50	449	20	,	,	PUNCT
ma-50	449	21	j	j	PROPN
ma-50	449	22	j−1∏	j−1∏	PROPN
ma-50	449	23	i=1	i=1	PROPN
ma-50	450	1	(	(	PUNCT
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ma-50	451	1	(	(	PUNCT
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ma-50	451	3	α1n	α1n	PROPN
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ma-50	452	1	+	+	CCONJ
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ma-50	452	3	2∏	2∏	NUM
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ma-50	452	8	,	,	PUNCT
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ma-50	455	8	(	(	PUNCT
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ma-50	455	10	+	+	NOUN
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ma-50	455	19	i=1	i=1	PROPN
ma-50	456	1	(	(	PUNCT
ma-50	456	2	1−	1−	NUM
ma-50	456	3	αn	αn	NOUN
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ma-50	457	1	+	+	CCONJ
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ma-50	457	3	3∏	3∏	NUM
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ma-50	457	8	,	,	PUNCT
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ma-50	457	11	[	[	PUNCT
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ma-50	457	13	−	−	PROPN
ma-50	457	14	q‖2	q‖2	VERB
ma-50	457	15	+	+	CCONJ
ma-50	457	16	`	`	PUNCT
ma-50	457	17	4∑	4∑	NUM
ma-50	457	18	j=2	j=2	PROPN
ma-50	457	19	α3n	α3n	PROPN
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ma-50	457	25	(	(	PUNCT
ma-50	457	26	1−	1−	NUM
ma-50	457	27	α3n	α3n	PROPN
ma-50	457	28	,	,	PUNCT
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ma-50	458	1	+	+	CCONJ
ma-50	458	2	`	`	PUNCT
ma-50	458	3	4∏	4∏	NUM
ma-50	459	1	i=1	i=1	X
ma-50	459	2	(	(	PUNCT
ma-50	459	3	1−	1−	NUM
ma-50	459	4	α3n	α3n	PROPN
ma-50	459	5	,	,	PUNCT
ma-50	459	6	i)(ρj)2‖y4n	i)(ρj)2‖y4n	NOUN
ma-50	459	7	−	−	PROPN
ma-50	459	8	q‖2	q‖2	VERB
ma-50	459	9	]	]	PUNCT
ma-50	459	10	=	=	SYM
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ma-50	461	1	+	+	CCONJ
ma-50	461	2	`	`	PUNCT
ma-50	461	3	2∑	2∑	NUM
ma-50	461	4	j=2	j=2	PROPN
ma-50	461	5	α1n	α1n	PROPN
ma-50	461	6	,	,	PUNCT
ma-50	461	7	j(ρ	j(ρ	PROPN
ma-50	461	8	j)2	j)2	VERB
ma-50	461	9	j−1∏	j−1∏	ADP
ma-50	461	10	i=1	i=1	PROPN
ma-50	461	11	(	(	PUNCT
ma-50	461	12	1−	1−	NUM
ma-50	461	13	α1n	α1n	PROPN
ma-50	461	14	,	,	PUNCT
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ma-50	462	1	+	+	CCONJ
ma-50	462	2	`	`	PUNCT
ma-50	462	3	2∏	2∏	NUM
ma-50	462	4	i=1	i=1	PROPN
ma-50	462	5	(	(	PUNCT
ma-50	462	6	1−	1−	NUM
ma-50	462	7	α1n	α1n	NOUN
ma-50	462	8	,	,	PUNCT
ma-50	462	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	462	10			PROPN
ma-50	462	11	×	×	NOUN
ma-50	462	12	(	(	PUNCT
ma-50	462	13	α2n,1	α2n,1	NUM
ma-50	462	14	+	+	NOUN
ma-50	462	15	`	`	PUNCT
ma-50	462	16	3∑	3∑	NUM
ma-50	462	17	j=2	j=2	PROPN
ma-50	462	18	α2n	α2n	PROPN
ma-50	462	19	,	,	PUNCT
ma-50	462	20	j(ρ	j(ρ	PROPN
ma-50	462	21	j)2	j)2	VERB
ma-50	462	22	j−1∏	j−1∏	ADP
ma-50	462	23	i=1	i=1	PROPN
ma-50	462	24	(	(	PUNCT
ma-50	462	25	1−	1−	NUM
ma-50	462	26	αn	αn	NOUN
ma-50	462	27	,	,	PUNCT
ma-50	462	28	i	i	PRON
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ma-50	463	1	+	+	CCONJ
ma-50	463	2	`	`	PUNCT
ma-50	463	3	3∏	3∏	NUM
ma-50	463	4	i=1	i=1	X
ma-50	463	5	(	(	PUNCT
ma-50	463	6	1−	1−	NUM
ma-50	463	7	α2n	α2n	PROPN
ma-50	463	8	,	,	PUNCT
ma-50	463	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	463	10	)	)	PUNCT
ma-50	463	11	×	×	NOUN
ma-50	463	12	(	(	PUNCT
ma-50	463	13	α3n,1	α3n,1	NUM
ma-50	463	14	+	+	CCONJ
ma-50	463	15	`	`	PUNCT
ma-50	463	16	4∑	4∑	NUM
ma-50	463	17	j=2	j=2	PROPN
ma-50	463	18	α3n	α3n	PROPN
ma-50	463	19	,	,	PUNCT
ma-50	463	20	j(ρ	j(ρ	PROPN
ma-50	463	21	j)2	j)2	VERB
ma-50	463	22	j−1∏	j−1∏	ADP
ma-50	463	23	i=1	i=1	PROPN
ma-50	463	24	(	(	PUNCT
ma-50	463	25	1−	1−	NUM
ma-50	463	26	α3n	α3n	PROPN
ma-50	463	27	,	,	PUNCT
ma-50	463	28	i	i	NOUN
ma-50	463	29	)	)	PUNCT
ma-50	464	1	+	+	CCONJ
ma-50	464	2	`	`	PUNCT
ma-50	464	3	4∏	4∏	NUM
ma-50	464	4	i=1	i=1	X
ma-50	464	5	(	(	PUNCT
ma-50	464	6	1−	1−	NUM
ma-50	464	7	α3n	α3n	PROPN
ma-50	464	8	,	,	PUNCT
ma-50	464	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	464	10	)	)	PUNCT
ma-50	464	11	‖y4n	‖y4n	PROPN
ma-50	464	12	−	−	NOUN
ma-50	464	13	q‖2	q‖2	VERB
ma-50	464	14	≤	≤	PUNCT
ma-50	464	15	α1n,1	α1n,1	PROPN
ma-50	464	16	+	+	CCONJ
ma-50	465	1	`	`	PUNCT
ma-50	465	2	2∑	2∑	NUM
ma-50	465	3	j=2	j=2	PROPN
ma-50	465	4	α1n	α1n	PROPN
ma-50	465	5	,	,	PUNCT
ma-50	465	6	j(ρ	j(ρ	PROPN
ma-50	465	7	j)2	j)2	VERB
ma-50	465	8	j−1∏	j−1∏	ADP
ma-50	465	9	i=1	i=1	PROPN
ma-50	465	10	(	(	PUNCT
ma-50	465	11	1−	1−	NUM
ma-50	465	12	α1n	α1n	PROPN
ma-50	465	13	,	,	PUNCT
ma-50	465	14	i	i	NOUN
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ma-50	466	1	+	+	CCONJ
ma-50	466	2	`	`	PUNCT
ma-50	466	3	2∏	2∏	NUM
ma-50	466	4	i=1	i=1	PROPN
ma-50	466	5	(	(	PUNCT
ma-50	466	6	1−	1−	NUM
ma-50	466	7	α1n	α1n	NOUN
ma-50	466	8	,	,	PUNCT
ma-50	466	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	466	10			PROPN
ma-50	466	11	×	×	NOUN
ma-50	466	12	(	(	PUNCT
ma-50	466	13	α2n,1	α2n,1	NUM
ma-50	466	14	+	+	NOUN
ma-50	466	15	`	`	PUNCT
ma-50	466	16	3∑	3∑	NUM
ma-50	466	17	j=2	j=2	PROPN
ma-50	466	18	α2n	α2n	PROPN
ma-50	466	19	,	,	PUNCT
ma-50	466	20	j(ρ	j(ρ	PROPN
ma-50	466	21	j)2	j)2	VERB
ma-50	466	22	j−1∏	j−1∏	ADP
ma-50	466	23	i=1	i=1	PROPN
ma-50	466	24	(	(	PUNCT
ma-50	466	25	1−	1−	NUM
ma-50	466	26	αn	αn	NOUN
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ma-50	466	28	i	i	PRON
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ma-50	467	1	+	+	CCONJ
ma-50	467	2	`	`	PUNCT
ma-50	467	3	3∏	3∏	NUM
ma-50	467	4	i=1	i=1	X
ma-50	467	5	(	(	PUNCT
ma-50	467	6	1−	1−	NUM
ma-50	467	7	α2n	α2n	PROPN
ma-50	467	8	,	,	PUNCT
ma-50	467	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	467	10	)	)	PUNCT
ma-50	467	11	×	×	NOUN
ma-50	467	12	(	(	PUNCT
ma-50	467	13	α3n,1	α3n,1	NUM
ma-50	467	14	+	+	CCONJ
ma-50	467	15	`	`	PUNCT
ma-50	467	16	4∑	4∑	NUM
ma-50	467	17	j=2	j=2	PROPN
ma-50	467	18	α3n	α3n	PROPN
ma-50	467	19	,	,	PUNCT
ma-50	467	20	j(ρ	j(ρ	PROPN
ma-50	467	21	j)2	j)2	VERB
ma-50	467	22	j−1∏	j−1∏	ADP
ma-50	467	23	i=1	i=1	PROPN
ma-50	467	24	(	(	PUNCT
ma-50	467	25	1−	1−	NUM
ma-50	467	26	α3n	α3n	PROPN
ma-50	467	27	,	,	PUNCT
ma-50	467	28	i	i	NOUN
ma-50	467	29	)	)	PUNCT
ma-50	468	1	+	+	CCONJ
ma-50	468	2	`	`	PUNCT
ma-50	468	3	4∏	4∏	NUM
ma-50	468	4	i=1	i=1	X
ma-50	468	5	(	(	PUNCT
ma-50	468	6	1−	1−	NUM
ma-50	468	7	α3n	α3n	PROPN
ma-50	468	8	,	,	PUNCT
ma-50	468	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	468	10	)	)	PUNCT
ma-50	468	11	[	[	PUNCT
ma-50	468	12	α4n,1‖y5n	α4n,1‖y5n	NOUN
ma-50	468	13	−	−	PROPN
ma-50	468	14	q‖2	q‖2	VERB
ma-50	468	15	+	+	CCONJ
ma-50	468	16	`	`	PUNCT
ma-50	468	17	5∑	5∑	PROPN
ma-50	468	18	j=2	j=2	PROPN
ma-50	468	19	α4n	α4n	PROPN
ma-50	468	20	,	,	PUNCT
ma-50	468	21	j	j	PROPN
ma-50	468	22	j−1∏	j−1∏	PROPN
ma-50	468	23	i=1	i=1	PROPN
ma-50	468	24	(	(	PUNCT
ma-50	468	25	1−	1−	NUM
ma-50	468	26	α4n	α4n	NUM
ma-50	468	27	,	,	PUNCT
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ma-50	468	29	−	−	NOUN
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ma-50	469	2	+	+	CCONJ
ma-50	469	3	`	`	PUNCT
ma-50	469	4	5∏	5∏	NUM
ma-50	469	5	i=1	i=1	X
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ma-50	469	9	,	,	PUNCT
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ma-50	469	11	−	−	NOUN
ma-50	469	12	γ`5q‖2	γ`5q‖2	PROPN
ma-50	469	13	]	]	PUNCT
ma-50	470	1	≤	≤	NUM
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ma-50	470	3	+	+	CCONJ
ma-50	470	4	`	`	PUNCT
ma-50	470	5	2∑	2∑	NUM
ma-50	470	6	j=2	j=2	PROPN
ma-50	470	7	α1n	α1n	PROPN
ma-50	470	8	,	,	PUNCT
ma-50	470	9	j(ρ	j(ρ	PROPN
ma-50	470	10	j)2	j)2	VERB
ma-50	470	11	j−1∏	j−1∏	ADP
ma-50	470	12	i=1	i=1	PROPN
ma-50	470	13	(	(	PUNCT
ma-50	470	14	1−	1−	NUM
ma-50	470	15	α1n	α1n	PROPN
ma-50	470	16	,	,	PUNCT
ma-50	470	17	i	i	NOUN
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ma-50	471	1	+	+	CCONJ
ma-50	471	2	`	`	PUNCT
ma-50	471	3	2∏	2∏	NUM
ma-50	471	4	i=1	i=1	PROPN
ma-50	471	5	(	(	PUNCT
ma-50	471	6	1−	1−	NUM
ma-50	471	7	α1n	α1n	NOUN
ma-50	471	8	,	,	PUNCT
ma-50	471	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	471	10			PROPN
ma-50	471	11	×	×	NOUN
ma-50	471	12	(	(	PUNCT
ma-50	471	13	α2n,1	α2n,1	NUM
ma-50	471	14	+	+	NOUN
ma-50	471	15	`	`	PUNCT
ma-50	471	16	3∑	3∑	NUM
ma-50	471	17	j=2	j=2	PROPN
ma-50	471	18	α2n	α2n	PROPN
ma-50	471	19	,	,	PUNCT
ma-50	471	20	j(ρ	j(ρ	PROPN
ma-50	471	21	j)2	j)2	VERB
ma-50	471	22	j−1∏	j−1∏	ADP
ma-50	471	23	i=1	i=1	PROPN
ma-50	471	24	(	(	PUNCT
ma-50	471	25	1−	1−	NUM
ma-50	471	26	αn	αn	NOUN
ma-50	471	27	,	,	PUNCT
ma-50	471	28	i	i	PRON
ma-50	471	29	)	)	PUNCT
ma-50	472	1	+	+	CCONJ
ma-50	472	2	`	`	PUNCT
ma-50	472	3	3∏	3∏	NUM
ma-50	472	4	i=1	i=1	X
ma-50	472	5	(	(	PUNCT
ma-50	472	6	1−	1−	NUM
ma-50	472	7	α2n	α2n	PROPN
ma-50	472	8	,	,	PUNCT
ma-50	472	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	472	10	)	)	PUNCT
ma-50	472	11	×	×	NOUN
ma-50	472	12	(	(	PUNCT
ma-50	472	13	α3n,1	α3n,1	NUM
ma-50	472	14	+	+	CCONJ
ma-50	472	15	`	`	PUNCT
ma-50	472	16	4∑	4∑	NUM
ma-50	472	17	j=2	j=2	PROPN
ma-50	472	18	α3n	α3n	PROPN
ma-50	472	19	,	,	PUNCT
ma-50	472	20	j(ρ	j(ρ	PROPN
ma-50	472	21	j)2	j)2	VERB
ma-50	472	22	j−1∏	j−1∏	ADP
ma-50	472	23	i=1	i=1	PROPN
ma-50	472	24	(	(	PUNCT
ma-50	472	25	1−	1−	NUM
ma-50	472	26	α3n	α3n	PROPN
ma-50	472	27	,	,	PUNCT
ma-50	472	28	i	i	NOUN
ma-50	472	29	)	)	PUNCT
ma-50	473	1	+	+	CCONJ
ma-50	473	2	`	`	PUNCT
ma-50	473	3	4∏	4∏	NUM
ma-50	473	4	i=1	i=1	X
ma-50	473	5	(	(	PUNCT
ma-50	473	6	1−	1−	NUM
ma-50	473	7	α3n	α3n	PROPN
ma-50	473	8	,	,	PUNCT
ma-50	473	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	473	10	)	)	PUNCT
ma-50	473	11	[	[	PUNCT
ma-50	473	12	α4n,1‖y5n	α4n,1‖y5n	NOUN
ma-50	473	13	−	−	PROPN
ma-50	473	14	q‖2	q‖2	VERB
ma-50	473	15	+	+	CCONJ
ma-50	473	16	`	`	PUNCT
ma-50	473	17	5∑	5∑	PROPN
ma-50	473	18	j=2	j=2	PROPN
ma-50	473	19	α4n	α4n	PROPN
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ma-50	473	21	j(ρ	j(ρ	PROPN
ma-50	473	22	j)2	j)2	VERB
ma-50	473	23	j−1∏	j−1∏	ADP
ma-50	473	24	i=1	i=1	PROPN
ma-50	473	25	(	(	PUNCT
ma-50	473	26	1−	1−	NUM
ma-50	473	27	α4n	α4n	NOUN
ma-50	473	28	,	,	PUNCT
ma-50	473	29	i)‖y5n	i)‖y5n	NOUN
ma-50	473	30	−	−	NOUN
ma-50	474	1	q‖2	q‖2	VERB
ma-50	475	1	+	+	CCONJ
ma-50	475	2	`	`	PUNCT
ma-50	475	3	5∏	5∏	NUM
ma-50	475	4	i=1	i=1	X
ma-50	475	5	(	(	PUNCT
ma-50	475	6	1−	1−	NUM
ma-50	475	7	α4n	α4n	NUM
ma-50	475	8	,	,	PUNCT
ma-50	475	9	i)(ρj)2‖y5n	i)(ρj)2‖y5n	NOUN
ma-50	475	10	−	−	NOUN
ma-50	475	11	q‖2	q‖2	VERB
ma-50	475	12	]	]	PUNCT
ma-50	475	13	=	=	SYM
ma-50	476	1	α1n,1	α1n,1	PROPN
ma-50	476	2	+	+	CCONJ
ma-50	476	3	`	`	PUNCT
ma-50	476	4	2∑	2∑	NUM
ma-50	476	5	j=2	j=2	PROPN
ma-50	476	6	α1n	α1n	PROPN
ma-50	476	7	,	,	PUNCT
ma-50	476	8	j(ρ	j(ρ	PROPN
ma-50	476	9	j)2	j)2	VERB
ma-50	476	10	j−1∏	j−1∏	ADP
ma-50	476	11	i=1	i=1	PROPN
ma-50	476	12	(	(	PUNCT
ma-50	476	13	1−	1−	NUM
ma-50	476	14	α1n	α1n	PROPN
ma-50	476	15	,	,	PUNCT
ma-50	476	16	i	i	NOUN
ma-50	476	17	)	)	PUNCT
ma-50	477	1	+	+	CCONJ
ma-50	477	2	`	`	PUNCT
ma-50	477	3	2∏	2∏	NUM
ma-50	477	4	i=1	i=1	PROPN
ma-50	477	5	(	(	PUNCT
ma-50	477	6	1−	1−	NUM
ma-50	477	7	α1n	α1n	NOUN
ma-50	477	8	,	,	PUNCT
ma-50	477	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	477	10			PROPN
ma-50	477	11	×	×	NOUN
ma-50	477	12	(	(	PUNCT
ma-50	477	13	α2n,1	α2n,1	NUM
ma-50	477	14	+	+	NOUN
ma-50	477	15	`	`	PUNCT
ma-50	477	16	3∑	3∑	NUM
ma-50	477	17	j=2	j=2	PROPN
ma-50	477	18	α2n	α2n	PROPN
ma-50	477	19	,	,	PUNCT
ma-50	477	20	j(ρ	j(ρ	PROPN
ma-50	477	21	j)2	j)2	VERB
ma-50	477	22	j−1∏	j−1∏	ADP
ma-50	477	23	i=1	i=1	PROPN
ma-50	477	24	(	(	PUNCT
ma-50	477	25	1−	1−	NUM
ma-50	477	26	αn	αn	NOUN
ma-50	477	27	,	,	PUNCT
ma-50	477	28	i	i	PRON
ma-50	477	29	)	)	PUNCT
ma-50	478	1	+	+	CCONJ
ma-50	478	2	`	`	PUNCT
ma-50	478	3	3∏	3∏	NUM
ma-50	478	4	i=1	i=1	X
ma-50	478	5	(	(	PUNCT
ma-50	478	6	1−	1−	NUM
ma-50	478	7	α2n	α2n	PROPN
ma-50	478	8	,	,	PUNCT
ma-50	478	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	478	10	)	)	PUNCT
ma-50	478	11	×	×	NOUN
ma-50	478	12	(	(	PUNCT
ma-50	478	13	α3n,1	α3n,1	NUM
ma-50	478	14	+	+	CCONJ
ma-50	478	15	`	`	PUNCT
ma-50	478	16	4∑	4∑	NUM
ma-50	478	17	j=2	j=2	PROPN
ma-50	478	18	α3n	α3n	PROPN
ma-50	478	19	,	,	PUNCT
ma-50	478	20	j(ρ	j(ρ	PROPN
ma-50	478	21	j)2	j)2	VERB
ma-50	478	22	j−1∏	j−1∏	ADP
ma-50	478	23	i=1	i=1	PROPN
ma-50	478	24	(	(	PUNCT
ma-50	478	25	1−	1−	NUM
ma-50	478	26	α3n	α3n	PROPN
ma-50	478	27	,	,	PUNCT
ma-50	478	28	i	i	NOUN
ma-50	478	29	)	)	PUNCT
ma-50	479	1	+	+	CCONJ
ma-50	479	2	`	`	PUNCT
ma-50	479	3	4∏	4∏	NUM
ma-50	479	4	i=1	i=1	X
ma-50	479	5	(	(	PUNCT
ma-50	479	6	1−	1−	NUM
ma-50	479	7	α3n	α3n	PROPN
ma-50	479	8	,	,	PUNCT
ma-50	479	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	479	10	)	)	PUNCT
ma-50	479	11	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	479	12	eur	eur	NOUN
ma-50	479	13	.	.	PUNCT
ma-50	480	1	j.	j.	PROPN
ma-50	480	2	math	math	PROPN
ma-50	480	3	.	.	PUNCT
ma-50	481	1	anal	anal	PROPN
ma-50	481	2	.	.	PUNCT
ma-50	482	1	10.28924	10.28924	NUM
ma-50	482	2	/	/	SYM
ma-50	482	3	ada	ada	PROPN
ma-50	482	4	/	/	SYM
ma-50	482	5	ma.2.1	ma.2.1	PROPN
ma-50	482	6	18	18	NUM
ma-50	482	7	×	×	NOUN
ma-50	482	8	(	(	PUNCT
ma-50	482	9	α4n,1	α4n,1	NOUN
ma-50	482	10	+	+	NUM
ma-50	482	11	`	`	PUNCT
ma-50	482	12	5∑	5∑	PROPN
ma-50	482	13	j=2	j=2	PROPN
ma-50	482	14	α4n	α4n	PROPN
ma-50	482	15	,	,	PUNCT
ma-50	482	16	j(ρ	j(ρ	PROPN
ma-50	482	17	j)2	j)2	VERB
ma-50	482	18	j−1∏	j−1∏	ADP
ma-50	482	19	i=1	i=1	PROPN
ma-50	482	20	(	(	PUNCT
ma-50	482	21	1−	1−	NUM
ma-50	482	22	α4n	α4n	NUM
ma-50	482	23	,	,	PUNCT
ma-50	482	24	i	i	NOUN
ma-50	482	25	)	)	PUNCT
ma-50	483	1	+	+	CCONJ
ma-50	483	2	`	`	PUNCT
ma-50	483	3	5∏	5∏	NUM
ma-50	483	4	i=1	i=1	X
ma-50	483	5	(	(	PUNCT
ma-50	483	6	1−	1−	NUM
ma-50	483	7	α4n	α4n	NUM
ma-50	483	8	,	,	PUNCT
ma-50	483	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	483	10	)	)	PUNCT
ma-50	483	11	‖y5n	‖y5n	NOUN
ma-50	483	12	−	−	PROPN
ma-50	483	13	q‖2	q‖2	VERB
ma-50	483	14	≤	≤	PUNCT
ma-50	483	15	α1n,1	α1n,1	PROPN
ma-50	483	16	+	+	CCONJ
ma-50	483	17	`	`	PUNCT
ma-50	483	18	2∑	2∑	NUM
ma-50	483	19	j=2	j=2	PROPN
ma-50	483	20	α1n	α1n	PROPN
ma-50	483	21	,	,	PUNCT
ma-50	483	22	j(ρ	j(ρ	PROPN
ma-50	483	23	j)2	j)2	VERB
ma-50	483	24	j−1∏	j−1∏	ADP
ma-50	483	25	i=1	i=1	PROPN
ma-50	484	1	(	(	PUNCT
ma-50	484	2	1−	1−	NUM
ma-50	484	3	α1n	α1n	PROPN
ma-50	484	4	,	,	PUNCT
ma-50	484	5	i	i	NOUN
ma-50	484	6	)	)	PUNCT
ma-50	485	1	+	+	CCONJ
ma-50	485	2	`	`	PUNCT
ma-50	485	3	2∏	2∏	NUM
ma-50	485	4	i=1	i=1	PROPN
ma-50	485	5	(	(	PUNCT
ma-50	485	6	1−	1−	NUM
ma-50	485	7	α1n	α1n	NOUN
ma-50	485	8	,	,	PUNCT
ma-50	485	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	485	10			PROPN
ma-50	485	11	×	×	NOUN
ma-50	485	12	(	(	PUNCT
ma-50	485	13	α2n,1	α2n,1	NUM
ma-50	485	14	+	+	NOUN
ma-50	485	15	`	`	PUNCT
ma-50	485	16	3∑	3∑	NUM
ma-50	485	17	j=2	j=2	PROPN
ma-50	485	18	α2n	α2n	PROPN
ma-50	485	19	,	,	PUNCT
ma-50	485	20	j(ρ	j(ρ	PROPN
ma-50	485	21	j)2	j)2	VERB
ma-50	485	22	j−1∏	j−1∏	ADP
ma-50	485	23	i=1	i=1	PROPN
ma-50	485	24	(	(	PUNCT
ma-50	485	25	1−	1−	NUM
ma-50	485	26	αn	αn	NOUN
ma-50	485	27	,	,	PUNCT
ma-50	485	28	i	i	PRON
ma-50	485	29	)	)	PUNCT
ma-50	486	1	+	+	CCONJ
ma-50	486	2	`	`	PUNCT
ma-50	486	3	3∏	3∏	NUM
ma-50	486	4	i=1	i=1	X
ma-50	486	5	(	(	PUNCT
ma-50	486	6	1−	1−	NUM
ma-50	486	7	α2n	α2n	PROPN
ma-50	486	8	,	,	PUNCT
ma-50	486	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	486	10	)	)	PUNCT
ma-50	486	11	×	×	NOUN
ma-50	486	12	(	(	PUNCT
ma-50	486	13	α3n,1	α3n,1	NUM
ma-50	486	14	+	+	CCONJ
ma-50	486	15	`	`	PUNCT
ma-50	486	16	4∑	4∑	NUM
ma-50	486	17	j=2	j=2	PROPN
ma-50	486	18	α3n	α3n	PROPN
ma-50	486	19	,	,	PUNCT
ma-50	486	20	j(ρ	j(ρ	PROPN
ma-50	486	21	j)2	j)2	VERB
ma-50	486	22	j−1∏	j−1∏	ADP
ma-50	486	23	i=1	i=1	PROPN
ma-50	486	24	(	(	PUNCT
ma-50	486	25	1−	1−	NUM
ma-50	486	26	α3n	α3n	PROPN
ma-50	486	27	,	,	PUNCT
ma-50	486	28	i	i	NOUN
ma-50	486	29	)	)	PUNCT
ma-50	487	1	+	+	CCONJ
ma-50	487	2	`	`	PUNCT
ma-50	487	3	4∏	4∏	NUM
ma-50	488	1	i=1	i=1	X
ma-50	488	2	(	(	PUNCT
ma-50	488	3	1−	1−	NUM
ma-50	488	4	α3n	α3n	PROPN
ma-50	488	5	,	,	PUNCT
ma-50	488	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	488	7	)	)	PUNCT
ma-50	488	8	×	×	NOUN
ma-50	488	9	(	(	PUNCT
ma-50	488	10	α4n,1	α4n,1	NOUN
ma-50	488	11	+	+	NUM
ma-50	488	12	`	`	PUNCT
ma-50	488	13	5∑	5∑	PROPN
ma-50	488	14	j=2	j=2	PROPN
ma-50	488	15	α4n	α4n	PROPN
ma-50	488	16	,	,	PUNCT
ma-50	488	17	j(ρ	j(ρ	PROPN
ma-50	488	18	j)2	j)2	VERB
ma-50	488	19	j−1∏	j−1∏	ADP
ma-50	488	20	i=1	i=1	PROPN
ma-50	488	21	(	(	PUNCT
ma-50	488	22	1−	1−	NUM
ma-50	488	23	α4n	α4n	NUM
ma-50	488	24	,	,	PUNCT
ma-50	488	25	i	i	NOUN
ma-50	488	26	)	)	PUNCT
ma-50	489	1	+	+	CCONJ
ma-50	489	2	`	`	PUNCT
ma-50	489	3	5∏	5∏	NUM
ma-50	489	4	i=1	i=1	X
ma-50	489	5	(	(	PUNCT
ma-50	489	6	1−	1−	NUM
ma-50	489	7	α4n	α4n	NUM
ma-50	489	8	,	,	PUNCT
ma-50	489	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	489	10	)	)	PUNCT
ma-50	489	11	×	×	NOUN
ma-50	489	12	·	·	PUNCT
ma-50	489	13	·	·	PUNCT
ma-50	489	14	·	·	PUNCT
ma-50	489	15	×	×	NOUN
ma-50	489	16	(	(	PUNCT
ma-50	489	17	α	α	NOUN
ma-50	489	18	`	`	PUNCT
ma-50	489	19	s−2	s−2	PROPN
ma-50	489	20	n,1	n,1	NOUN
ma-50	489	21	+	+	CCONJ
ma-50	489	22	`	`	PUNCT
ma-50	489	23	s−1∑	s−1∑	NUM
ma-50	489	24	j=2	j=2	PROPN
ma-50	489	25	α	α	NOUN
ma-50	489	26	`	`	PUNCT
ma-50	489	27	s−2	s−2	PROPN
ma-50	489	28	n	n	PART
ma-50	489	29	,	,	PUNCT
ma-50	489	30	j	j	PROPN
ma-50	489	31	(	(	PUNCT
ma-50	489	32	ρj)2	ρj)2	PROPN
ma-50	489	33	j−1∏	j−1∏	PROPN
ma-50	489	34	i=1	i=1	PROPN
ma-50	490	1	(	(	PUNCT
ma-50	490	2	1−	1−	NUM
ma-50	490	3	α`s−2n	α`s−2n	NUM
ma-50	490	4	,	,	PUNCT
ma-50	490	5	i	i	PRON
ma-50	490	6	)	)	PUNCT
ma-50	491	1	+	+	CCONJ
ma-50	491	2	`	`	PUNCT
ma-50	491	3	s−1∏	s−1∏	PROPN
ma-50	491	4	i=1	i=1	PROPN
ma-50	491	5	(	(	PUNCT
ma-50	491	6	1−	1−	NUM
ma-50	491	7	α`s−2n	α`s−2n	NUM
ma-50	491	8	,	,	PUNCT
ma-50	491	9	i	i	PRON
ma-50	491	10	)	)	PUNCT
ma-50	491	11	(	(	PUNCT
ma-50	491	12	ρj)2	ρj)2	PROPN
ma-50	491	13	)	)	PUNCT
ma-50	491	14	×	×	NOUN
ma-50	491	15	(	(	PUNCT
ma-50	491	16	α	α	NOUN
ma-50	491	17	`	`	PUNCT
ma-50	491	18	s−1	s−1	PROPN
ma-50	491	19	n,1	n,1	NOUN
ma-50	491	20	+	+	NOUN
ma-50	491	21	`	`	PUNCT
ma-50	491	22	s∑	s∑	PROPN
ma-50	491	23	j=2	j=2	PROPN
ma-50	491	24	α	α	NOUN
ma-50	491	25	`	`	PUNCT
ma-50	491	26	s−1	s−1	PROPN
ma-50	491	27	n	n	CCONJ
ma-50	491	28	,	,	PUNCT
ma-50	491	29	j	j	PROPN
ma-50	491	30	(	(	PUNCT
ma-50	491	31	ρj)2	ρj)2	PROPN
ma-50	492	1	j−1∏	j−1∏	PROPN
ma-50	492	2	i=1	i=1	PROPN
ma-50	493	1	(	(	PUNCT
ma-50	493	2	1−	1−	NUM
ma-50	493	3	α`s−1n	α`s−1n	NUM
ma-50	493	4	,	,	PUNCT
ma-50	493	5	i	i	PRON
ma-50	493	6	)	)	PUNCT
ma-50	494	1	+	+	CCONJ
ma-50	494	2	`	`	PUNCT
ma-50	494	3	s∏	s∏	PROPN
ma-50	494	4	i=1	i=1	X
ma-50	494	5	(	(	PUNCT
ma-50	494	6	1−	1−	NUM
ma-50	494	7	α`s−1n	α`s−1n	NUM
ma-50	494	8	,	,	PUNCT
ma-50	494	9	i	i	PRON
ma-50	494	10	)	)	PUNCT
ma-50	494	11	(	(	PUNCT
ma-50	494	12	ρj)2	ρj)2	PROPN
ma-50	494	13	)	)	PUNCT
ma-50	494	14	×‖xn	×‖xn	PROPN
ma-50	494	15	−	−	X
ma-50	495	1	q‖2	q‖2	PROPN
ma-50	495	2	(	(	PUNCT
ma-50	495	3	3.15	3.15	NUM
ma-50	495	4	)	)	PUNCT
ma-50	495	5	(	(	PUNCT
ma-50	495	6	3.13	3.13	NUM
ma-50	495	7	)	)	PUNCT
ma-50	495	8	and	and	CCONJ
ma-50	495	9	(	(	PUNCT
ma-50	495	10	3.15	3.15	NUM
ma-50	495	11	)	)	PUNCT
ma-50	495	12	imply	imply	VERB
ma-50	495	13	that	that	SCONJ
ma-50	495	14	‖xn+1	‖xn+1	NUM
ma-50	495	15	−	−	NOUN
ma-50	495	16	q‖2	q‖2	VERB
ma-50	495	17	≤	≤	PUNCT
ma-50	495	18	α1n,1	α1n,1	PROPN
ma-50	496	1	+	+	CCONJ
ma-50	496	2	`	`	PUNCT
ma-50	496	3	2∑	2∑	NUM
ma-50	496	4	j=2	j=2	PROPN
ma-50	496	5	α1n	α1n	PROPN
ma-50	496	6	,	,	PUNCT
ma-50	496	7	j(ρ	j(ρ	PROPN
ma-50	496	8	j)2	j)2	VERB
ma-50	496	9	j−1∏	j−1∏	ADP
ma-50	496	10	i=1	i=1	PROPN
ma-50	496	11	(	(	PUNCT
ma-50	496	12	1−	1−	NUM
ma-50	496	13	α1n	α1n	PROPN
ma-50	496	14	,	,	PUNCT
ma-50	496	15	i	i	NOUN
ma-50	496	16	)	)	PUNCT
ma-50	497	1	+	+	CCONJ
ma-50	497	2	`	`	PUNCT
ma-50	497	3	2∏	2∏	NUM
ma-50	497	4	i=1	i=1	PROPN
ma-50	497	5	(	(	PUNCT
ma-50	497	6	1−	1−	NUM
ma-50	497	7	α1n	α1n	NOUN
ma-50	497	8	,	,	PUNCT
ma-50	497	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	497	10			PROPN
ma-50	497	11	×	×	NOUN
ma-50	497	12	(	(	PUNCT
ma-50	497	13	α2n,1	α2n,1	NUM
ma-50	497	14	+	+	NOUN
ma-50	497	15	`	`	PUNCT
ma-50	497	16	3∑	3∑	NUM
ma-50	497	17	j=2	j=2	PROPN
ma-50	497	18	α2n	α2n	PROPN
ma-50	497	19	,	,	PUNCT
ma-50	497	20	j(ρ	j(ρ	PROPN
ma-50	497	21	j)2	j)2	VERB
ma-50	497	22	j−1∏	j−1∏	ADP
ma-50	497	23	i=1	i=1	PROPN
ma-50	497	24	(	(	PUNCT
ma-50	497	25	1−	1−	NUM
ma-50	497	26	αn	αn	NOUN
ma-50	497	27	,	,	PUNCT
ma-50	497	28	i	i	PRON
ma-50	497	29	)	)	PUNCT
ma-50	498	1	+	+	CCONJ
ma-50	498	2	`	`	PUNCT
ma-50	498	3	3∏	3∏	NUM
ma-50	498	4	i=1	i=1	X
ma-50	498	5	(	(	PUNCT
ma-50	498	6	1−	1−	NUM
ma-50	498	7	α2n	α2n	PROPN
ma-50	498	8	,	,	PUNCT
ma-50	498	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	498	10	)	)	PUNCT
ma-50	498	11	×	×	NOUN
ma-50	498	12	(	(	PUNCT
ma-50	498	13	α3n,1	α3n,1	NUM
ma-50	498	14	+	+	CCONJ
ma-50	498	15	`	`	PUNCT
ma-50	498	16	4∑	4∑	NUM
ma-50	498	17	j=2	j=2	PROPN
ma-50	498	18	α3n	α3n	PROPN
ma-50	498	19	,	,	PUNCT
ma-50	498	20	j(ρ	j(ρ	PROPN
ma-50	498	21	j)2	j)2	VERB
ma-50	498	22	j−1∏	j−1∏	ADP
ma-50	498	23	i=1	i=1	PROPN
ma-50	498	24	(	(	PUNCT
ma-50	498	25	1−	1−	NUM
ma-50	498	26	α3n	α3n	PROPN
ma-50	498	27	,	,	PUNCT
ma-50	498	28	i	i	NOUN
ma-50	498	29	)	)	PUNCT
ma-50	499	1	+	+	CCONJ
ma-50	499	2	`	`	PUNCT
ma-50	499	3	4∏	4∏	NUM
ma-50	500	1	i=1	i=1	X
ma-50	500	2	(	(	PUNCT
ma-50	500	3	1−	1−	NUM
ma-50	500	4	α3n	α3n	PROPN
ma-50	500	5	,	,	PUNCT
ma-50	500	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	500	7	)	)	PUNCT
ma-50	500	8	×	×	NOUN
ma-50	500	9	(	(	PUNCT
ma-50	500	10	α4n,1	α4n,1	NOUN
ma-50	500	11	+	+	NUM
ma-50	500	12	`	`	PUNCT
ma-50	500	13	5∑	5∑	PROPN
ma-50	500	14	j=2	j=2	PROPN
ma-50	500	15	α4n	α4n	PROPN
ma-50	500	16	,	,	PUNCT
ma-50	500	17	j(ρ	j(ρ	PROPN
ma-50	500	18	j)2	j)2	VERB
ma-50	500	19	j−1∏	j−1∏	ADP
ma-50	500	20	i=1	i=1	PROPN
ma-50	500	21	(	(	PUNCT
ma-50	500	22	1−	1−	NUM
ma-50	500	23	α4n	α4n	NUM
ma-50	500	24	,	,	PUNCT
ma-50	500	25	i	i	NOUN
ma-50	500	26	)	)	PUNCT
ma-50	501	1	+	+	CCONJ
ma-50	501	2	`	`	PUNCT
ma-50	501	3	5∏	5∏	NUM
ma-50	501	4	i=1	i=1	X
ma-50	501	5	(	(	PUNCT
ma-50	501	6	1−	1−	NUM
ma-50	501	7	α4n	α4n	NUM
ma-50	501	8	,	,	PUNCT
ma-50	501	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	501	10	)	)	PUNCT
ma-50	501	11	×	×	NOUN
ma-50	501	12	·	·	PUNCT
ma-50	501	13	·	·	PUNCT
ma-50	501	14	·	·	PUNCT
ma-50	501	15	×	×	NOUN
ma-50	501	16	(	(	PUNCT
ma-50	501	17	α	α	NOUN
ma-50	501	18	`	`	PUNCT
ma-50	501	19	s−2	s−2	PROPN
ma-50	501	20	n,1	n,1	NOUN
ma-50	501	21	+	+	CCONJ
ma-50	501	22	`	`	PUNCT
ma-50	501	23	s−1∑	s−1∑	NUM
ma-50	501	24	j=2	j=2	PROPN
ma-50	501	25	α	α	NOUN
ma-50	501	26	`	`	PUNCT
ma-50	501	27	s−2	s−2	PROPN
ma-50	501	28	n	n	PART
ma-50	501	29	,	,	PUNCT
ma-50	501	30	j	j	PROPN
ma-50	501	31	(	(	PUNCT
ma-50	501	32	ρj)2	ρj)2	PROPN
ma-50	501	33	j−1∏	j−1∏	PROPN
ma-50	501	34	i=1	i=1	PROPN
ma-50	502	1	(	(	PUNCT
ma-50	502	2	1−	1−	NUM
ma-50	502	3	α`s−2n	α`s−2n	NUM
ma-50	502	4	,	,	PUNCT
ma-50	502	5	i	i	PRON
ma-50	502	6	)	)	PUNCT
ma-50	503	1	+	+	CCONJ
ma-50	503	2	`	`	PUNCT
ma-50	503	3	s−1∏	s−1∏	PROPN
ma-50	503	4	i=1	i=1	PROPN
ma-50	503	5	(	(	PUNCT
ma-50	503	6	1−	1−	NUM
ma-50	503	7	α`s−2n	α`s−2n	NUM
ma-50	503	8	,	,	PUNCT
ma-50	503	9	i	i	PRON
ma-50	503	10	)	)	PUNCT
ma-50	503	11	(	(	PUNCT
ma-50	503	12	ρj)2	ρj)2	PROPN
ma-50	503	13	)	)	PUNCT
ma-50	503	14	×	×	NOUN
ma-50	503	15	(	(	PUNCT
ma-50	503	16	α	α	NOUN
ma-50	503	17	`	`	PUNCT
ma-50	503	18	s−1	s−1	PROPN
ma-50	503	19	n,1	n,1	NOUN
ma-50	503	20	+	+	NOUN
ma-50	503	21	`	`	PUNCT
ma-50	503	22	s∑	s∑	PROPN
ma-50	503	23	j=2	j=2	PROPN
ma-50	503	24	α	α	NOUN
ma-50	503	25	`	`	PUNCT
ma-50	503	26	s−1	s−1	PROPN
ma-50	503	27	n	n	CCONJ
ma-50	503	28	,	,	PUNCT
ma-50	503	29	j	j	PROPN
ma-50	503	30	(	(	PUNCT
ma-50	503	31	ρj)2	ρj)2	PROPN
ma-50	504	1	j−1∏	j−1∏	PROPN
ma-50	504	2	i=1	i=1	PROPN
ma-50	505	1	(	(	PUNCT
ma-50	505	2	1−	1−	NUM
ma-50	505	3	α`s−1n	α`s−1n	NUM
ma-50	505	4	,	,	PUNCT
ma-50	505	5	i	i	PRON
ma-50	505	6	)	)	PUNCT
ma-50	506	1	+	+	CCONJ
ma-50	506	2	`	`	PUNCT
ma-50	506	3	s∏	s∏	PROPN
ma-50	506	4	i=1	i=1	X
ma-50	506	5	(	(	PUNCT
ma-50	506	6	1−	1−	NUM
ma-50	506	7	α`s−1n	α`s−1n	NUM
ma-50	506	8	,	,	PUNCT
ma-50	506	9	i	i	PRON
ma-50	506	10	)	)	PUNCT
ma-50	506	11	(	(	PUNCT
ma-50	506	12	ρj)2	ρj)2	PROPN
ma-50	506	13	)	)	PUNCT
ma-50	506	14	×‖xn	×‖xn	PROPN
ma-50	506	15	−	−	X
ma-50	507	1	q‖2	q‖2	PROPN
ma-50	507	2	(	(	PUNCT
ma-50	507	3	3.16	3.16	NUM
ma-50	507	4	)	)	PUNCT
ma-50	507	5	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	507	6	eur	eur	NOUN
ma-50	507	7	.	.	PUNCT
ma-50	508	1	j.	j.	PROPN
ma-50	508	2	math	math	PROPN
ma-50	508	3	.	.	PUNCT
ma-50	509	1	anal	anal	PROPN
ma-50	509	2	.	.	PUNCT
ma-50	510	1	10.28924	10.28924	NUM
ma-50	510	2	/	/	SYM
ma-50	510	3	ada	ada	PROPN
ma-50	510	4	/	/	SYM
ma-50	510	5	ma.2.1	ma.2.1	PROPN
ma-50	510	6	19since	19since	NUM
ma-50	510	7	ρj	ρj	NOUN
ma-50	510	8	∈	∈	PROPN
ma-50	511	1	[	[	X
ma-50	511	2	0	0	NUM
ma-50	511	3	,	,	PUNCT
ma-50	511	4	1	1	NUM
ma-50	511	5	]	]	PUNCT
ma-50	511	6	,	,	PUNCT
ma-50	511	7	we	we	PRON
ma-50	511	8	obtain	obtain	AUX
ma-50	511	9	using	use	VERB
ma-50	511	10	proposition	proposition	NOUN
ma-50	511	11	2.3	2.3	NUM
ma-50	511	12	,	,	PUNCT
ma-50	511	13	for	for	ADP
ma-50	511	14	j	j	PROPN
ma-50	511	15	=	=	SYM
ma-50	511	16	1	1	NUM
ma-50	511	17	,	,	PUNCT
ma-50	511	18	2	2	NUM
ma-50	511	19	,	,	PUNCT
ma-50	511	20	3	3	NUM
ma-50	511	21	,	,	PUNCT
ma-50	511	22	·	·	PUNCT
ma-50	511	23	·	·	PUNCT
ma-50	511	24	·	·	PUNCT
ma-50	511	25	,	,	PUNCT
ma-50	511	26	s	s	VERB
ma-50	511	27	−	−	PROPN
ma-50	511	28	1	1	NUM
ma-50	511	29	,	,	PUNCT
ma-50	512	1	that	that	PRON
ma-50	512	2	q	q	PROPN
ma-50	512	3	≤	≤	X
ma-50	512	4	p	p	X
ma-50	512	5	=	=	NOUN
ma-50	512	6	1	1	NUM
ma-50	512	7	,	,	PUNCT
ma-50	512	8	(	(	PUNCT
ma-50	512	9	3.17	3.17	NUM
ma-50	512	10	)	)	PUNCT
ma-50	512	11	where	where	SCONJ
ma-50	512	12	q	q	NOUN
ma-50	512	13	=	=	X
ma-50	512	14	(	(	PUNCT
ma-50	512	15	α3n,1	α3n,1	NUM
ma-50	512	16	+	+	CCONJ
ma-50	512	17	`	`	PUNCT
ma-50	512	18	4∑	4∑	NUM
ma-50	512	19	j=2	j=2	PROPN
ma-50	512	20	α3n	α3n	PROPN
ma-50	512	21	,	,	PUNCT
ma-50	512	22	j(ρ	j(ρ	PROPN
ma-50	512	23	j)2	j)2	VERB
ma-50	512	24	j−1∏	j−1∏	ADP
ma-50	512	25	i=1	i=1	PROPN
ma-50	512	26	(	(	PUNCT
ma-50	512	27	1−	1−	NUM
ma-50	512	28	α3n	α3n	PROPN
ma-50	512	29	,	,	PUNCT
ma-50	512	30	i	i	NOUN
ma-50	512	31	)	)	PUNCT
ma-50	513	1	+	+	CCONJ
ma-50	513	2	`	`	PUNCT
ma-50	513	3	4∏	4∏	NUM
ma-50	514	1	i=1	i=1	X
ma-50	514	2	(	(	PUNCT
ma-50	514	3	1−	1−	NUM
ma-50	514	4	α3n	α3n	PROPN
ma-50	514	5	,	,	PUNCT
ma-50	514	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	514	7	)	)	PUNCT
ma-50	514	8	×	×	NOUN
ma-50	514	9	(	(	PUNCT
ma-50	514	10	α4n,1	α4n,1	NOUN
ma-50	514	11	+	+	NUM
ma-50	514	12	`	`	PUNCT
ma-50	514	13	5∑	5∑	PROPN
ma-50	514	14	j=2	j=2	PROPN
ma-50	514	15	α4n	α4n	PROPN
ma-50	514	16	,	,	PUNCT
ma-50	514	17	j(ρ	j(ρ	PROPN
ma-50	514	18	j)2	j)2	VERB
ma-50	514	19	j−1∏	j−1∏	ADP
ma-50	514	20	i=1	i=1	PROPN
ma-50	514	21	(	(	PUNCT
ma-50	514	22	1−	1−	NUM
ma-50	514	23	α4n	α4n	NUM
ma-50	514	24	,	,	PUNCT
ma-50	514	25	i	i	NOUN
ma-50	514	26	)	)	PUNCT
ma-50	515	1	+	+	CCONJ
ma-50	515	2	`	`	PUNCT
ma-50	515	3	5∏	5∏	NUM
ma-50	515	4	i=1	i=1	X
ma-50	515	5	(	(	PUNCT
ma-50	515	6	1−	1−	NUM
ma-50	515	7	α4n	α4n	NUM
ma-50	515	8	,	,	PUNCT
ma-50	515	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	515	10	)	)	PUNCT
ma-50	515	11	×	×	NOUN
ma-50	515	12	·	·	PUNCT
ma-50	515	13	·	·	PUNCT
ma-50	515	14	·	·	PUNCT
ma-50	515	15	×	×	NOUN
ma-50	515	16	(	(	PUNCT
ma-50	515	17	α	α	NOUN
ma-50	515	18	`	`	PUNCT
ma-50	515	19	s−2	s−2	PROPN
ma-50	515	20	n,1	n,1	NOUN
ma-50	515	21	+	+	CCONJ
ma-50	515	22	`	`	PUNCT
ma-50	515	23	s−1∑	s−1∑	NUM
ma-50	515	24	j=2	j=2	PROPN
ma-50	515	25	α	α	NOUN
ma-50	515	26	`	`	PUNCT
ma-50	515	27	s−2	s−2	PROPN
ma-50	515	28	n	n	PART
ma-50	515	29	,	,	PUNCT
ma-50	515	30	j	j	PROPN
ma-50	515	31	(	(	PUNCT
ma-50	515	32	ρj)2	ρj)2	PROPN
ma-50	515	33	j−1∏	j−1∏	PROPN
ma-50	515	34	i=1	i=1	PROPN
ma-50	516	1	(	(	PUNCT
ma-50	516	2	1−	1−	NUM
ma-50	516	3	α`s−2n	α`s−2n	NUM
ma-50	516	4	,	,	PUNCT
ma-50	516	5	i	i	PRON
ma-50	516	6	)	)	PUNCT
ma-50	517	1	+	+	CCONJ
ma-50	517	2	`	`	PUNCT
ma-50	517	3	s−1∏	s−1∏	PROPN
ma-50	517	4	i=1	i=1	PROPN
ma-50	517	5	(	(	PUNCT
ma-50	517	6	1−	1−	NUM
ma-50	517	7	α`s−2n	α`s−2n	NUM
ma-50	517	8	,	,	PUNCT
ma-50	517	9	i	i	PRON
ma-50	517	10	)	)	PUNCT
ma-50	517	11	(	(	PUNCT
ma-50	517	12	ρj)2	ρj)2	PROPN
ma-50	517	13	)	)	PUNCT
ma-50	517	14	×	×	NOUN
ma-50	517	15	(	(	PUNCT
ma-50	517	16	α	α	NOUN
ma-50	517	17	`	`	PUNCT
ma-50	517	18	s−1	s−1	PROPN
ma-50	517	19	n,1	n,1	NOUN
ma-50	517	20	+	+	NOUN
ma-50	517	21	`	`	PUNCT
ma-50	517	22	s∑	s∑	PROPN
ma-50	517	23	j=2	j=2	PROPN
ma-50	517	24	α	α	NOUN
ma-50	517	25	`	`	PUNCT
ma-50	517	26	s−1	s−1	PROPN
ma-50	517	27	n	n	CCONJ
ma-50	517	28	,	,	PUNCT
ma-50	517	29	j	j	PROPN
ma-50	517	30	(	(	PUNCT
ma-50	517	31	ρj)2	ρj)2	PROPN
ma-50	518	1	j−1∏	j−1∏	PROPN
ma-50	518	2	i=1	i=1	PROPN
ma-50	519	1	(	(	PUNCT
ma-50	519	2	1−	1−	NUM
ma-50	519	3	α`s−1n	α`s−1n	NUM
ma-50	519	4	,	,	PUNCT
ma-50	519	5	i	i	PRON
ma-50	519	6	)	)	PUNCT
ma-50	520	1	+	+	CCONJ
ma-50	520	2	`	`	PUNCT
ma-50	520	3	s∏	s∏	PROPN
ma-50	520	4	i=1	i=1	X
ma-50	520	5	(	(	PUNCT
ma-50	520	6	1−	1−	NUM
ma-50	520	7	α`s−1n	α`s−1n	NUM
ma-50	520	8	,	,	PUNCT
ma-50	520	9	i	i	PRON
ma-50	520	10	)	)	PUNCT
ma-50	520	11	(	(	PUNCT
ma-50	520	12	ρj)2	ρj)2	PROPN
ma-50	520	13	)	)	PUNCT
ma-50	520	14	and	and	CCONJ
ma-50	520	15	p	p	NOUN
ma-50	520	16	=	=	PUNCT
ma-50	520	17	(	(	PUNCT
ma-50	520	18	α3n,1	α3n,1	NUM
ma-50	520	19	+	+	CCONJ
ma-50	520	20	`	`	PUNCT
ma-50	520	21	4∑	4∑	NUM
ma-50	520	22	j=2	j=2	PROPN
ma-50	520	23	α3n	α3n	PROPN
ma-50	520	24	,	,	PUNCT
ma-50	520	25	j	j	PROPN
ma-50	520	26	j−1∏	j−1∏	PROPN
ma-50	520	27	i=1	i=1	PROPN
ma-50	520	28	(	(	PUNCT
ma-50	520	29	1−	1−	NUM
ma-50	520	30	α3n	α3n	PROPN
ma-50	520	31	,	,	PUNCT
ma-50	520	32	i	i	NOUN
ma-50	520	33	)	)	PUNCT
ma-50	520	34	+	+	CCONJ
ma-50	521	1	`	`	PUNCT
ma-50	521	2	4∏	4∏	NUM
ma-50	521	3	i=1	i=1	X
ma-50	521	4	(	(	PUNCT
ma-50	521	5	1−	1−	NUM
ma-50	521	6	α3n	α3n	PROPN
ma-50	521	7	,	,	PUNCT
ma-50	521	8	i	i	NOUN
ma-50	521	9	)	)	PUNCT
ma-50	521	10	)	)	PUNCT
ma-50	521	11	×	×	NOUN
ma-50	521	12	(	(	PUNCT
ma-50	521	13	α4n,1	α4n,1	NOUN
ma-50	521	14	+	+	NUM
ma-50	521	15	`	`	PUNCT
ma-50	521	16	5∑	5∑	PROPN
ma-50	521	17	j=2	j=2	PROPN
ma-50	521	18	α4n	α4n	PROPN
ma-50	521	19	,	,	PUNCT
ma-50	521	20	j	j	PROPN
ma-50	521	21	j−1∏	j−1∏	PROPN
ma-50	521	22	i=1	i=1	PROPN
ma-50	521	23	(	(	PUNCT
ma-50	521	24	1−	1−	NUM
ma-50	521	25	α4n	α4n	NUM
ma-50	521	26	,	,	PUNCT
ma-50	521	27	i	i	NOUN
ma-50	521	28	)	)	PUNCT
ma-50	522	1	+	+	CCONJ
ma-50	522	2	`	`	PUNCT
ma-50	522	3	5∏	5∏	NUM
ma-50	522	4	i=1	i=1	X
ma-50	522	5	(	(	PUNCT
ma-50	522	6	1−	1−	NUM
ma-50	522	7	α4n	α4n	NUM
ma-50	522	8	,	,	PUNCT
ma-50	522	9	i	i	NOUN
ma-50	522	10	)	)	PUNCT
ma-50	522	11	)	)	PUNCT
ma-50	522	12	×	×	NOUN
ma-50	522	13	·	·	PUNCT
ma-50	522	14	·	·	PUNCT
ma-50	522	15	·	·	PUNCT
ma-50	522	16	×	×	NOUN
ma-50	522	17	(	(	PUNCT
ma-50	522	18	α	α	NOUN
ma-50	522	19	`	`	PUNCT
ma-50	522	20	s−2	s−2	PROPN
ma-50	522	21	n,1	n,1	NOUN
ma-50	522	22	+	+	CCONJ
ma-50	522	23	`	`	PUNCT
ma-50	522	24	s−1∑	s−1∑	NUM
ma-50	522	25	j=2	j=2	PROPN
ma-50	522	26	α	α	NOUN
ma-50	522	27	`	`	PUNCT
ma-50	522	28	s−2	s−2	PROPN
ma-50	522	29	n	n	PART
ma-50	522	30	,	,	PUNCT
ma-50	522	31	j	j	PROPN
ma-50	522	32	j−1∏	j−1∏	PROPN
ma-50	522	33	i=1	i=1	PROPN
ma-50	523	1	(	(	PUNCT
ma-50	523	2	1−	1−	NUM
ma-50	523	3	α`s−2n	α`s−2n	NUM
ma-50	523	4	,	,	PUNCT
ma-50	523	5	i	i	PRON
ma-50	523	6	)	)	PUNCT
ma-50	524	1	+	+	CCONJ
ma-50	524	2	`	`	PUNCT
ma-50	524	3	s−1∏	s−1∏	PROPN
ma-50	524	4	i=1	i=1	PROPN
ma-50	524	5	(	(	PUNCT
ma-50	524	6	1−	1−	NUM
ma-50	524	7	α`s−2n	α`s−2n	NUM
ma-50	524	8	,	,	PUNCT
ma-50	524	9	i	i	NOUN
ma-50	524	10	)	)	PUNCT
ma-50	524	11	)	)	PUNCT
ma-50	524	12	×	×	NOUN
ma-50	524	13	(	(	PUNCT
ma-50	524	14	α	α	NOUN
ma-50	524	15	`	`	PUNCT
ma-50	524	16	s−1	s−1	PROPN
ma-50	524	17	n,1	n,1	NOUN
ma-50	524	18	+	+	NOUN
ma-50	525	1	`	`	PUNCT
ma-50	525	2	s∑	s∑	PROPN
ma-50	525	3	j=2	j=2	PROPN
ma-50	525	4	α	α	NOUN
ma-50	525	5	`	`	PUNCT
ma-50	525	6	s−1	s−1	PROPN
ma-50	525	7	n	n	CCONJ
ma-50	525	8	,	,	PUNCT
ma-50	525	9	j	j	PROPN
ma-50	525	10	j−1∏	j−1∏	PROPN
ma-50	525	11	i=1	i=1	PROPN
ma-50	526	1	(	(	PUNCT
ma-50	526	2	1−	1−	NUM
ma-50	526	3	α`s−1n	α`s−1n	NUM
ma-50	526	4	,	,	PUNCT
ma-50	526	5	i	i	PRON
ma-50	526	6	)	)	PUNCT
ma-50	527	1	+	+	CCONJ
ma-50	527	2	`	`	PUNCT
ma-50	527	3	s∏	s∏	PROPN
ma-50	527	4	i=1	i=1	X
ma-50	527	5	(	(	PUNCT
ma-50	527	6	1−	1−	NUM
ma-50	527	7	α`s−1n	α`s−1n	NUM
ma-50	527	8	,	,	PUNCT
ma-50	527	9	i	i	NOUN
ma-50	527	10	)	)	PUNCT
ma-50	527	11	)	)	PUNCT
ma-50	527	12	applying	apply	VERB
ma-50	527	13	(	(	PUNCT
ma-50	527	14	3.17	3.17	NUM
ma-50	527	15	)	)	PUNCT
ma-50	527	16	in	in	ADP
ma-50	527	17	(	(	PUNCT
ma-50	527	18	3.16	3.16	NUM
ma-50	527	19	)	)	PUNCT
ma-50	527	20	,	,	PUNCT
ma-50	527	21	we	we	PRON
ma-50	527	22	obtain	obtain	VERB
ma-50	527	23	,	,	PUNCT
ma-50	527	24	using	use	VERB
ma-50	527	25	lemma	lemma	PROPN
ma-50	527	26	2.3	2.3	NUM
ma-50	527	27	that	that	PRON
ma-50	527	28	the	the	DET
ma-50	527	29	sequence	sequence	NOUN
ma-50	527	30	{	{	PUNCT
ma-50	527	31	xn}∞n=0	xn}∞n=0	NUM
ma-50	527	32	defined	define	VERB
ma-50	527	33	by	by	ADP
ma-50	527	34	(	(	PUNCT
ma-50	527	35	3.2)converges	3.2)converge	NOUN
ma-50	527	36	strongly	strongly	ADV
ma-50	527	37	to	to	ADP
ma-50	527	38	the	the	DET
ma-50	527	39	fixed	fixed	ADJ
ma-50	527	40	point	point	NOUN
ma-50	527	41	q	q	PUNCT
ma-50	527	42	in	in	ADP
ma-50	527	43	f	f	PROPN
ma-50	527	44	(	(	PUNCT
ma-50	527	45	γ	γ	PROPN
ma-50	527	46	)	)	PUNCT
ma-50	527	47	.	.	PUNCT
ma-50	528	1	thus	thus	ADV
ma-50	528	2	,	,	PUNCT
ma-50	528	3	the	the	DET
ma-50	528	4	proof	proof	NOUN
ma-50	528	5	is	be	AUX
ma-50	528	6	completed	complete	VERB
ma-50	528	7	.	.	PUNCT
ma-50	529	1	�	�	PROPN
ma-50	529	2	example	example	NOUN
ma-50	529	3	3.1	3.1	NUM
ma-50	529	4	.	.	PUNCT
ma-50	530	1	let	let	VERB
ma-50	530	2	the	the	DET
ma-50	530	3	operator	operator	NOUN
ma-50	530	4	γ	γ	X
ma-50	530	5	:	:	PUNCT
ma-50	531	1	[	[	X
ma-50	531	2	0	0	NUM
ma-50	531	3	,	,	PUNCT
ma-50	531	4	1	1	NUM
ma-50	531	5	]	]	X
ma-50	531	6	−→	−→	NOUN
ma-50	531	7	[	[	X
ma-50	531	8	0	0	NUM
ma-50	531	9	,	,	PUNCT
ma-50	531	10	1	1	NUM
ma-50	531	11	]	]	PUNCT
ma-50	531	12	be	be	AUX
ma-50	531	13	defined	define	VERB
ma-50	531	14	as	as	ADP
ma-50	531	15	γz	γz	PROPN
ma-50	531	16	=	=	SYM
ma-50	531	17	z	z	NOUN
ma-50	531	18	3	3	NUM
ma-50	531	19	,	,	PUNCT
ma-50	531	20	∀z	∀z	PROPN
ma-50	531	21	∈	∈	PROPN
ma-50	532	1	[	[	X
ma-50	532	2	0	0	NUM
ma-50	532	3	,	,	PUNCT
ma-50	532	4	1	1	NUM
ma-50	532	5	]	]	PUNCT
ma-50	532	6	.	.	PUNCT
ma-50	533	1	clearly	clearly	ADV
ma-50	533	2	,	,	PUNCT
ma-50	533	3	γ	γ	PROPN
ma-50	533	4	is	be	AUX
ma-50	533	5	quasi	quasi	ADJ
ma-50	533	6	-	-	ADJ
ma-50	533	7	contractive	contractive	ADJ
ma-50	533	8	satisfying	satisfying	NOUN
ma-50	533	9	(	(	PUNCT
ma-50	533	10	2.2	2.2	NUM
ma-50	533	11	)	)	PUNCT
ma-50	533	12	with	with	ADP
ma-50	533	13	a	a	DET
ma-50	533	14	unique	unique	ADJ
ma-50	533	15	fixed	fix	VERB
ma-50	533	16	point	point	NOUN
ma-50	533	17	0	0	NUM
ma-50	533	18	;	;	PUNCT
ma-50	533	19	see	see	VERB
ma-50	533	20	,	,	PUNCT
ma-50	533	21	for	for	ADP
ma-50	533	22	example	example	NOUN
ma-50	533	23	,	,	PUNCT
ma-50	533	24	[	[	X
ma-50	533	25	26	26	NUM
ma-50	533	26	]	]	PUNCT
ma-50	533	27	for	for	ADP
ma-50	533	28	details	detail	NOUN
ma-50	533	29	.	.	PUNCT
ma-50	534	1	set	set	VERB
ma-50	534	2	α1n,1	α1n,1	NOUN
ma-50	534	3	=	=	SYM
ma-50	534	4	δ1n,1	δ1n,1	PROPN
ma-50	534	5	=	=	SYM
ma-50	534	6	1√	1√	PROPN
ma-50	534	7	n	n	NOUN
ma-50	534	8	+	+	CCONJ
ma-50	534	9	1	1	NUM
ma-50	534	10	,	,	PUNCT
ma-50	534	11	n	n	NOUN
ma-50	534	12	=	=	SYM
ma-50	534	13	1	1	NUM
ma-50	534	14	,	,	PUNCT
ma-50	534	15	2	2	NUM
ma-50	534	16	,	,	PUNCT
ma-50	534	17	·	·	PUNCT
ma-50	534	18	·	·	PUNCT
ma-50	534	19	·	·	PUNCT
ma-50	534	20	,	,	PUNCT
ma-50	534	21	n0	n0	PROPN
ma-50	534	22	,	,	PUNCT
ma-50	534	23	f	f	PROPN
ma-50	534	24	or	or	CCONJ
ma-50	534	25	n0	n0	NUM
ma-50	534	26	∈	∈	PROPN
ma-50	534	27	n	n	CCONJ
ma-50	534	28	;	;	PUNCT
ma-50	534	29	δn	δn	NOUN
ma-50	534	30	,	,	PUNCT
ma-50	534	31	i	i	PRON
ma-50	534	32	=	=	PROPN
ma-50	534	33	1−	1−	NUM
ma-50	534	34	δ1n,1	δ1n,1	NOUN
ma-50	534	35	,	,	PUNCT
ma-50	534	36	f	f	PROPN
ma-50	534	37	or	or	CCONJ
ma-50	534	38	i	i	PRON
ma-50	534	39	=	=	NOUN
ma-50	534	40	1	1	NUM
ma-50	534	41	,	,	PUNCT
ma-50	534	42	2	2	NUM
ma-50	534	43	,	,	PUNCT
ma-50	534	44	·	·	PUNCT
ma-50	534	45	·	·	PUNCT
ma-50	534	46	·	·	PUNCT
ma-50	534	47	,	,	PUNCT
ma-50	534	48	`	`	PUNCT
ma-50	534	49	1	1	NUM
ma-50	534	50	and	and	CCONJ
ma-50	534	51	αsn	αsn	NOUN
ma-50	534	52	,	,	PUNCT
ma-50	534	53	i	i	PRON
ma-50	534	54	=	=	PROPN
ma-50	534	55	1−	1−	NUM
ma-50	534	56	2α1n,1	2α1n,1	NUM
ma-50	534	57	,	,	PUNCT
ma-50	534	58	f	f	PROPN
ma-50	534	59	or	or	CCONJ
ma-50	534	60	i	i	PRON
ma-50	534	61	=	=	NOUN
ma-50	534	62	1	1	NUM
ma-50	534	63	,	,	PUNCT
ma-50	534	64	2	2	NUM
ma-50	534	65	,	,	PUNCT
ma-50	534	66	·	·	PUNCT
ma-50	534	67	·	·	PUNCT
ma-50	534	68	·	·	PUNCT
ma-50	534	69	,	,	PUNCT
ma-50	534	70	`	`	PUNCT
ma-50	534	71	s+1	s+1	NOUN
ma-50	534	72	,	,	PUNCT
ma-50	534	73	s	s	PART
ma-50	534	74	=	=	SYM
ma-50	534	75	1	1	NUM
ma-50	534	76	,	,	PUNCT
ma-50	534	77	2	2	NUM
ma-50	534	78	,	,	PUNCT
ma-50	534	79	·	·	PUNCT
ma-50	534	80	·	·	PUNCT
ma-50	534	81	·	·	PUNCT
ma-50	534	82	,	,	PUNCT
ma-50	534	83	n0	n0	X
ma-50	534	84	.	.	PUNCT
ma-50	535	1	it	it	PRON
ma-50	535	2	is	be	AUX
ma-50	535	3	not	not	PART
ma-50	535	4	hard	hard	ADJ
ma-50	535	5	to	to	PART
ma-50	535	6	see	see	VERB
ma-50	535	7	that	that	SCONJ
ma-50	535	8	all	all	DET
ma-50	535	9	the	the	DET
ma-50	535	10	conditions	condition	NOUN
ma-50	535	11	of	of	ADP
ma-50	535	12	theorem	theorem	ADJ
ma-50	535	13	3.1	3.1	NUM
ma-50	535	14	and	and	CCONJ
ma-50	535	15	theorem	theorem	VERB
ma-50	535	16	3.2	3.2	NUM
ma-50	535	17	has	have	AUX
ma-50	535	18	been	be	AUX
ma-50	535	19	satisfied	satisfy	VERB
ma-50	535	20	by	by	ADP
ma-50	535	21	example	example	NOUN
ma-50	535	22	3.1	3.1	NUM
ma-50	535	23	.	.	PUNCT
ma-50	536	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	536	2	eur	eur	NOUN
ma-50	536	3	.	.	PUNCT
ma-50	537	1	j.	j.	PROPN
ma-50	537	2	math	math	PROPN
ma-50	537	3	.	.	PUNCT
ma-50	538	1	anal	anal	PROPN
ma-50	538	2	.	.	PUNCT
ma-50	539	1	10.28924	10.28924	NUM
ma-50	539	2	/	/	SYM
ma-50	539	3	ada	ada	PROPN
ma-50	539	4	/	/	SYM
ma-50	539	5	ma.2.1	ma.2.1	PROPN
ma-50	539	6	204	204	NUM
ma-50	539	7	.	.	PUNCT
ma-50	540	1	main	main	ADJ
ma-50	540	2	results	result	NOUN
ma-50	540	3	ii	ii	PROPN
ma-50	540	4	here	here	ADV
ma-50	540	5	,	,	PUNCT
ma-50	540	6	we	we	PRON
ma-50	540	7	consider	consider	VERB
ma-50	540	8	stablity	stablity	NOUN
ma-50	540	9	results	result	NOUN
ma-50	540	10	for	for	ADP
ma-50	540	11	the	the	DET
ma-50	540	12	multistep	multistep	ADJ
ma-50	540	13	ih	ih	NOUN
ma-50	540	14	-	-	PUNCT
ma-50	540	15	iteration	iteration	NOUN
ma-50	540	16	scheme	scheme	NOUN
ma-50	540	17	and	and	CCONJ
ma-50	540	18	the	the	DET
ma-50	540	19	multistep	multistep	ADJ
ma-50	540	20	di	di	ADJ
ma-50	540	21	-	-	PUNCT
ma-50	540	22	iteration	iteration	NOUN
ma-50	540	23	scheme	scheme	NOUN
ma-50	540	24	defined	define	VERB
ma-50	540	25	by	by	ADP
ma-50	540	26	(	(	PUNCT
ma-50	540	27	3.1	3.1	NUM
ma-50	540	28	)	)	PUNCT
ma-50	540	29	and	and	CCONJ
ma-50	540	30	(	(	PUNCT
ma-50	540	31	3.2	3.2	NUM
ma-50	540	32	)	)	PUNCT
ma-50	540	33	for	for	ADP
ma-50	540	34	operators	operator	NOUN
ma-50	540	35	satisfying	satisfy	VERB
ma-50	540	36	(	(	PUNCT
ma-50	540	37	2.2	2.2	NUM
ma-50	540	38	)	)	PUNCT
ma-50	540	39	,	,	PUNCT
ma-50	540	40	respectively	respectively	ADV
ma-50	540	41	.	.	PUNCT
ma-50	541	1	theorem	theorem	VERB
ma-50	541	2	4.1	4.1	NUM
ma-50	541	3	.	.	PUNCT
ma-50	542	1	let	let	VERB
ma-50	542	2	h	h	PRON
ma-50	542	3	be	be	AUX
ma-50	542	4	a	a	DET
ma-50	542	5	hilbert	hilbert	NOUN
ma-50	542	6	space	space	NOUN
ma-50	542	7	,	,	PUNCT
ma-50	542	8	γ	γ	X
ma-50	542	9	:	:	PUNCT
ma-50	542	10	h	h	PROPN
ma-50	542	11	−→	−→	NOUN
ma-50	542	12	h	h	NOUN
ma-50	542	13	be	be	VERB
ma-50	542	14	a	a	DET
ma-50	542	15	self	self	NOUN
ma-50	542	16	-	-	PUNCT
ma-50	542	17	map	map	NOUN
ma-50	542	18	of	of	ADP
ma-50	542	19	h	h	NOUN
ma-50	542	20	satisfying	satisfy	VERB
ma-50	542	21	the	the	DET
ma-50	542	22	contractive	contractive	ADJ
ma-50	542	23	condition	condition	NOUN
ma-50	542	24	‖γjx	‖γjx	NOUN
ma-50	542	25	−	−	PROPN
ma-50	542	26	γjy‖	γjy‖	PUNCT
ma-50	542	27	≤	≤	NUM
ma-50	543	1	ρj‖x	ρj‖x	NUM
ma-50	543	2	−	−	NUM
ma-50	544	1	y‖+	y‖+	INTJ
ma-50	544	2	j∑	j∑	PROPN
ma-50	544	3	i=0	i=0	PROPN
ma-50	544	4	(	(	PUNCT
ma-50	544	5	j	j	NOUN
ma-50	544	6	i	i	PROPN
ma-50	544	7	)	)	PUNCT
ma-50	545	1	ρj−1φ(‖x	ρj−1φ(‖x	PROPN
ma-50	546	1	−	−	PROPN
ma-50	546	2	γx‖	γx‖	PROPN
ma-50	546	3	)	)	PUNCT
ma-50	546	4	,	,	PUNCT
ma-50	546	5	(	(	PUNCT
ma-50	546	6	4.1	4.1	NUM
ma-50	546	7	)	)	PUNCT
ma-50	546	8	where	where	SCONJ
ma-50	546	9	x	x	AUX
ma-50	546	10	,	,	PUNCT
ma-50	546	11	y	y	PROPN
ma-50	546	12	∈	∈	PROPN
ma-50	546	13	h	h	NOUN
ma-50	546	14	,	,	PUNCT
ma-50	546	15	0	0	NUM
ma-50	546	16	≤	≤	NUM
ma-50	546	17	ρj	ρj	CCONJ
ma-50	546	18	<	<	X
ma-50	546	19	1	1	NUM
ma-50	546	20	,	,	PUNCT
ma-50	546	21	and	and	CCONJ
ma-50	546	22	let	let	VERB
ma-50	546	23	φ	φ	PROPN
ma-50	546	24	retains	retain	VERB
ma-50	546	25	its	its	PRON
ma-50	546	26	usual	usual	ADJ
ma-50	546	27	meaning	meaning	NOUN
ma-50	546	28	with	with	ADP
ma-50	546	29	φ(0	φ(0	ADJ
ma-50	546	30	)	)	PUNCT
ma-50	546	31	=	=	SYM
ma-50	546	32	0	0	NUM
ma-50	546	33	and	and	CCONJ
ma-50	546	34	φ(mt	φ(mt	NOUN
ma-50	546	35	)	)	PUNCT
ma-50	546	36	=	=	SYM
ma-50	546	37	mφ(t),m	mφ(t),m	NOUN
ma-50	546	38	≥	≥	NUM
ma-50	546	39	0	0	NUM
ma-50	546	40	,	,	PUNCT
ma-50	546	41	t	t	PROPN
ma-50	546	42	∈	∈	PROPN
ma-50	546	43	r+	r+	NOUN
ma-50	546	44	.	.	PUNCT
ma-50	547	1	for	for	ADP
ma-50	547	2	arbitrary	arbitrary	ADJ
ma-50	547	3	x0	x0	PROPN
ma-50	547	4	∈	∈	PROPN
ma-50	547	5	h	h	NOUN
ma-50	547	6	,	,	PUNCT
ma-50	547	7	let	let	VERB
ma-50	547	8	{	{	PUNCT
ma-50	547	9	xn}∞n=0	xn}∞n=0	X
ma-50	547	10	be	be	AUX
ma-50	547	11	the	the	DET
ma-50	547	12	multistep	multistep	ADJ
ma-50	547	13	di	di	ADJ
ma-50	547	14	-	-	PUNCT
ma-50	547	15	iteration	iteration	NOUN
ma-50	547	16	scheme	scheme	NOUN
ma-50	547	17	defined	define	VERB
ma-50	547	18	by	by	ADP
ma-50	547	19	(	(	PUNCT
ma-50	547	20	3.2	3.2	NUM
ma-50	547	21	)	)	PUNCT
ma-50	547	22	.	.	PUNCT
ma-50	548	1	assume	assume	VERB
ma-50	548	2	f	f	X
ma-50	548	3	(	(	PUNCT
ma-50	548	4	γ	γ	PROPN
ma-50	548	5	)	)	PUNCT
ma-50	548	6	6=	6=	NOUN
ma-50	548	7	∅	∅	NOUN
ma-50	548	8	,	,	PUNCT
ma-50	548	9	q	q	PROPN
ma-50	548	10	∈	∈	PROPN
ma-50	548	11	f	f	X
ma-50	548	12	(	(	PUNCT
ma-50	548	13	γ	γ	PROPN
ma-50	548	14	)	)	PUNCT
ma-50	548	15	.	.	PUNCT
ma-50	549	1	then	then	ADV
ma-50	549	2	,	,	PUNCT
ma-50	549	3	the	the	DET
ma-50	549	4	multisetp	multisetp	PROPN
ma-50	549	5	di	di	ADJ
ma-50	549	6	-	-	PUNCT
ma-50	549	7	iterative	iterative	NOUN
ma-50	549	8	scheme	scheme	NOUN
ma-50	549	9	is	be	AUX
ma-50	549	10	γ	γ	X
ma-50	549	11	-	-	ADJ
ma-50	549	12	stable	stable	ADJ
ma-50	549	13	.	.	PUNCT
ma-50	550	1	proof	proof	NOUN
ma-50	550	2	.	.	PUNCT
ma-50	551	1	let	let	VERB
ma-50	551	2	{	{	PUNCT
ma-50	551	3	vn}∞n=0	vn}∞n=0	VERB
ma-50	551	4	,	,	PUNCT
ma-50	551	5	be	be	AUX
ma-50	551	6	a	a	DET
ma-50	551	7	real	real	ADJ
ma-50	551	8	sequences	sequence	NOUN
ma-50	551	9	in	in	ADP
ma-50	551	10	h.	h.	PROPN
ma-50	551	11	suppose	suppose	VERB
ma-50	551	12	{	{	PUNCT
ma-50	551	13	tn}∞n=0	tn}∞n=0	X
ma-50	551	14	⊂	⊂	X
ma-50	551	15	x	x	X
ma-50	551	16	is	be	AUX
ma-50	551	17	an	an	DET
ma-50	551	18	arbitrary	arbitrary	ADJ
ma-50	551	19	sequence	sequence	NOUN
ma-50	551	20	,	,	PUNCT
ma-50	551	21	set	set	VERB
ma-50	551	22	εn	εn	ADJ
ma-50	551	23	=	=	X
ma-50	551	24	‖tn+1	‖tn+1	PROPN
ma-50	551	25	−	−	PROPN
ma-50	551	26	δn,1v1n,1	δn,1v1n,1	NOUN
ma-50	552	1	−	−	NOUN
ma-50	553	1	`	`	PUNCT
ma-50	553	2	1∑	1∑	NUM
ma-50	553	3	j=2	j=2	PROPN
ma-50	553	4	δn	δn	PROPN
ma-50	553	5	,	,	PUNCT
ma-50	553	6	j	j	PROPN
ma-50	553	7	j−1∏	j−1∏	PROPN
ma-50	553	8	i=1	i=1	PROPN
ma-50	554	1	(	(	PUNCT
ma-50	554	2	1−	1−	NUM
ma-50	554	3	δn	δn	NOUN
ma-50	554	4	,	,	PUNCT
ma-50	554	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	554	6	−	−	NOUN
ma-50	554	7	`	`	PUNCT
ma-50	554	8	1∏	1∏	NUM
ma-50	554	9	i=1	i=1	PROPN
ma-50	554	10	(	(	PUNCT
ma-50	554	11	1−	1−	NUM
ma-50	554	12	δn	δn	NOUN
ma-50	554	13	,	,	PUNCT
ma-50	554	14	i)γ`1v1n	i)γ`1v1n	ADJ
ma-50	554	15	‖2	‖2	NOUN
ma-50	554	16	(	(	PUNCT
ma-50	554	17	4.2	4.2	NUM
ma-50	554	18	)	)	PUNCT
ma-50	554	19	where	where	SCONJ
ma-50	554	20	,	,	PUNCT
ma-50	554	21	for	for	ADP
ma-50	554	22	s	s	NOUN
ma-50	554	23	=	=	SYM
ma-50	554	24	1	1	NUM
ma-50	554	25	,	,	PUNCT
ma-50	554	26	2	2	NUM
ma-50	554	27	,	,	PUNCT
ma-50	554	28	·	·	PUNCT
ma-50	554	29	·	·	PUNCT
ma-50	554	30	·	·	PUNCT
ma-50	554	31	,	,	PUNCT
ma-50	554	32	k	k	PROPN
ma-50	555	1	−	−	PROPN
ma-50	555	2	2	2	NUM
ma-50	555	3	,	,	PUNCT
ma-50	555	4	v	v	NOUN
ma-50	555	5	sn	sn	NOUN
ma-50	555	6	=	=	PUNCT
ma-50	555	7	αsn,1v	αsn,1v	VERB
ma-50	555	8	s+1	s+1	NOUN
ma-50	555	9	n	n	NOUN
ma-50	555	10	+	+	CCONJ
ma-50	555	11	`	`	PUNCT
ma-50	555	12	s+1∑	s+1∑	ADJ
ma-50	555	13	j=2	j=2	NOUN
ma-50	555	14	αsn	αsn	NOUN
ma-50	555	15	,	,	PUNCT
ma-50	555	16	j	j	PROPN
ma-50	555	17	j−1∏	j−1∏	PROPN
ma-50	555	18	i=1	i=1	PROPN
ma-50	556	1	(	(	PUNCT
ma-50	556	2	1−	1−	NUM
ma-50	556	3	αsn	αsn	NOUN
ma-50	556	4	,	,	PUNCT
ma-50	556	5	i)γj−1v	i)γj−1v	ADP
ma-50	557	1	s+1n	s+1n	VERB
ma-50	557	2	+	+	CCONJ
ma-50	557	3	`	`	PUNCT
ma-50	557	4	s+1∏	s+1∏	NOUN
ma-50	557	5	i=1	i=1	PROPN
ma-50	557	6	(	(	PUNCT
ma-50	557	7	1−	1−	NUM
ma-50	557	8	αsn	αsn	NOUN
ma-50	557	9	,	,	PUNCT
ma-50	557	10	i)γ`1v	i)γ`1v	ADV
ma-50	557	11	s+1n	s+1n	PROPN
ma-50	557	12	(	(	PUNCT
ma-50	557	13	4.3	4.3	NUM
ma-50	557	14	)	)	PUNCT
ma-50	557	15	and	and	CCONJ
ma-50	557	16	,	,	PUNCT
ma-50	557	17	for	for	SCONJ
ma-50	557	18	k	k	PROPN
ma-50	557	19	≥	≥	NUM
ma-50	557	20	2	2	NUM
ma-50	557	21	,	,	PUNCT
ma-50	557	22	v	v	NOUN
ma-50	557	23	k−1n	k−1n	NOUN
ma-50	557	24	=	=	PUNCT
ma-50	558	1	`	`	PUNCT
ma-50	558	2	k∑	k∑	INTJ
ma-50	558	3	j=1	j=1	PROPN
ma-50	558	4	αk−1n	αk−1n	PROPN
ma-50	558	5	,	,	PUNCT
ma-50	558	6	j	j	PROPN
ma-50	558	7	j−1∏	j−1∏	PROPN
ma-50	558	8	i=1	i=1	PROPN
ma-50	559	1	(	(	PUNCT
ma-50	559	2	1−	1−	NUM
ma-50	559	3	αk−1n	αk−1n	PROPN
ma-50	559	4	,	,	PUNCT
ma-50	559	5	i	i	PRON
ma-50	559	6	)	)	PUNCT
ma-50	559	7	γj−1tn	γj−1tn	NUM
ma-50	560	1	+	+	CCONJ
ma-50	560	2	`	`	PUNCT
ma-50	560	3	k∏	k∏	PROPN
ma-50	560	4	i=1	i=1	PROPN
ma-50	560	5	(	(	PUNCT
ma-50	560	6	1−	1−	NUM
ma-50	560	7	αk−1n	αk−1n	PROPN
ma-50	560	8	,	,	PUNCT
ma-50	560	9	i	i	PRON
ma-50	560	10	)	)	PUNCT
ma-50	560	11	γ`k	γ`k	NOUN
ma-50	560	12	tn	tn	PROPN
ma-50	560	13	,	,	PUNCT
ma-50	560	14	n	n	X
ma-50	560	15	≥	≥	NOUN
ma-50	560	16	1	1	NUM
ma-50	560	17	,	,	PUNCT
ma-50	560	18	(	(	PUNCT
ma-50	560	19	4.4	4.4	NUM
ma-50	560	20	)	)	PUNCT
ma-50	560	21	now	now	ADV
ma-50	560	22	,	,	PUNCT
ma-50	560	23	suppose	suppose	VERB
ma-50	560	24	εn	εn	ADJ
ma-50	560	25	→	→	SYM
ma-50	560	26	0	0	NUM
ma-50	560	27	as	as	ADP
ma-50	560	28	n	n	X
ma-50	560	29	→∞.	→∞.	X
ma-50	560	30	then	then	ADV
ma-50	560	31	,	,	PUNCT
ma-50	560	32	we	we	PRON
ma-50	560	33	show	show	VERB
ma-50	560	34	that	that	SCONJ
ma-50	560	35	tn	tn	PROPN
ma-50	560	36	→	→	SYM
ma-50	560	37	q	q	X
ma-50	560	38	as	as	SCONJ
ma-50	560	39	n	n	ADV
ma-50	560	40	→∞	→∞	NOUN
ma-50	560	41	using	use	VERB
ma-50	560	42	contractive	contractive	ADJ
ma-50	560	43	mappingdefined	mappingdefine	VERB
ma-50	560	44	by	by	ADP
ma-50	560	45	(	(	PUNCT
ma-50	560	46	4.1).indeed	4.1).indeed	NUM
ma-50	560	47	,	,	PUNCT
ma-50	560	48	using	use	VERB
ma-50	560	49	proposition	proposition	NOUN
ma-50	560	50	2.4	2.4	NUM
ma-50	560	51	with	with	ADP
ma-50	560	52	u	u	NOUN
ma-50	560	53	=	=	NOUN
ma-50	560	54	q	q	ADJ
ma-50	560	55	,	,	PUNCT
ma-50	560	56	v1n	v1n	PROPN
ma-50	560	57	=	=	SYM
ma-50	560	58	t	t	PROPN
ma-50	560	59	,	,	PUNCT
ma-50	560	60	j	j	X
ma-50	561	1	=	=	PUNCT
ma-50	561	2	i	i	PROPN
ma-50	561	3	,	,	PUNCT
ma-50	561	4	k	k	PROPN
ma-50	561	5	=	=	SYM
ma-50	561	6	1,γj−1v1n	1,γj−1v1n	NUM
ma-50	562	1	=	=	SYM
ma-50	562	2	vj−1	vj−1	PROPN
ma-50	562	3	and	and	CCONJ
ma-50	562	4	γ`1v1n	γ`1v1n	PROPN
ma-50	562	5	=	=	SYM
ma-50	562	6	v	v	ADP
ma-50	562	7	„	„	PROPN
ma-50	562	8	we	we	PRON
ma-50	562	9	obtain	obtain	VERB
ma-50	562	10	‖tn+1	‖tn+1	NOUN
ma-50	562	11	−	−	PROPN
ma-50	562	12	q‖2	q‖2	PROPN
ma-50	562	13	=	=	SYM
ma-50	562	14	‖δn,1v1n,1	‖δn,1v1n,1	NOUN
ma-50	562	15	+	+	CCONJ
ma-50	562	16	`	`	PUNCT
ma-50	562	17	1∑	1∑	NUM
ma-50	562	18	j=2	j=2	PROPN
ma-50	562	19	δn	δn	PROPN
ma-50	562	20	,	,	PUNCT
ma-50	562	21	j	j	PROPN
ma-50	563	1	j−1∏	j−1∏	PROPN
ma-50	563	2	i=1	i=1	PROPN
ma-50	564	1	(	(	PUNCT
ma-50	564	2	1−	1−	NUM
ma-50	564	3	δn	δn	NOUN
ma-50	564	4	,	,	PUNCT
ma-50	564	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	564	6	+	+	CCONJ
ma-50	564	7	`	`	PUNCT
ma-50	564	8	1∏	1∏	NUM
ma-50	564	9	i=1	i=1	X
ma-50	564	10	(	(	PUNCT
ma-50	564	11	1−	1−	NUM
ma-50	564	12	δn	δn	NOUN
ma-50	564	13	,	,	PUNCT
ma-50	564	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	564	15	−	−	NOUN
ma-50	564	16	q	q	NOUN
ma-50	564	17	−[δn,1v	−[δn,1v	NOUN
ma-50	564	18	1	1	NUM
ma-50	564	19	n,1	n,1	NOUN
ma-50	564	20	+	+	NOUN
ma-50	565	1	`	`	PUNCT
ma-50	565	2	1∑	1∑	NUM
ma-50	565	3	j=2	j=2	PROPN
ma-50	565	4	δn	δn	PROPN
ma-50	565	5	,	,	PUNCT
ma-50	565	6	j	j	PROPN
ma-50	565	7	j−1∏	j−1∏	PROPN
ma-50	565	8	i=1	i=1	PROPN
ma-50	566	1	(	(	PUNCT
ma-50	566	2	1−	1−	NUM
ma-50	566	3	δn	δn	NOUN
ma-50	566	4	,	,	PUNCT
ma-50	566	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	566	6	+	+	CCONJ
ma-50	566	7	`	`	PUNCT
ma-50	566	8	1∏	1∏	NUM
ma-50	566	9	i=1	i=1	X
ma-50	566	10	(	(	PUNCT
ma-50	566	11	1−	1−	NUM
ma-50	566	12	δn	δn	NOUN
ma-50	566	13	,	,	PUNCT
ma-50	566	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	566	15	−	−	PROPN
ma-50	566	16	tn+1]‖2	tn+1]‖2	NUM
ma-50	566	17	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	566	18	eur	eur	NOUN
ma-50	566	19	.	.	PUNCT
ma-50	567	1	j.	j.	PROPN
ma-50	567	2	math	math	PROPN
ma-50	567	3	.	.	PUNCT
ma-50	568	1	anal	anal	PROPN
ma-50	568	2	.	.	PUNCT
ma-50	569	1	10.28924	10.28924	NUM
ma-50	569	2	/	/	SYM
ma-50	569	3	ada	ada	PROPN
ma-50	569	4	/	/	SYM
ma-50	569	5	ma.2.1	ma.2.1	PROPN
ma-50	569	6	21	21	NUM
ma-50	569	7	≤	≤	NOUN
ma-50	569	8	‖	‖	PROPN
ma-50	569	9	−	−	PROPN
ma-50	570	1	[	[	X
ma-50	570	2	tn+1	tn+1	X
ma-50	570	3	−	−	PROPN
ma-50	570	4	δn,1v1n,1	δn,1v1n,1	NOUN
ma-50	570	5	−	−	NOUN
ma-50	571	1	`	`	PUNCT
ma-50	571	2	1∑	1∑	NUM
ma-50	571	3	j=2	j=2	PROPN
ma-50	571	4	δn	δn	PROPN
ma-50	571	5	,	,	PUNCT
ma-50	571	6	j	j	PROPN
ma-50	571	7	j−1∏	j−1∏	PROPN
ma-50	571	8	i=1	i=1	PROPN
ma-50	572	1	(	(	PUNCT
ma-50	572	2	1−	1−	NUM
ma-50	572	3	δn	δn	NOUN
ma-50	572	4	,	,	PUNCT
ma-50	572	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	572	6	−	−	NOUN
ma-50	572	7	`	`	PUNCT
ma-50	572	8	1∏	1∏	NUM
ma-50	572	9	i=1	i=1	PROPN
ma-50	572	10	(	(	PUNCT
ma-50	572	11	1−	1−	NUM
ma-50	572	12	δn	δn	NOUN
ma-50	572	13	,	,	PUNCT
ma-50	572	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	572	15	]	]	X
ma-50	572	16	‖2	‖2	NOUN
ma-50	573	1	+	+	ADJ
ma-50	573	2	‖δn,1v1n,1	‖δn,1v1n,1	NOUN
ma-50	573	3	+	+	CCONJ
ma-50	573	4	`	`	PUNCT
ma-50	573	5	1∑	1∑	NUM
ma-50	573	6	j=2	j=2	PROPN
ma-50	573	7	δn	δn	PROPN
ma-50	573	8	,	,	PUNCT
ma-50	573	9	j	j	PROPN
ma-50	573	10	j−1∏	j−1∏	PROPN
ma-50	573	11	i=1	i=1	PROPN
ma-50	574	1	(	(	PUNCT
ma-50	574	2	1−	1−	NUM
ma-50	574	3	δn	δn	NOUN
ma-50	574	4	,	,	PUNCT
ma-50	574	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	574	6	+	+	CCONJ
ma-50	574	7	`	`	PUNCT
ma-50	574	8	1∏	1∏	NUM
ma-50	574	9	i=1	i=1	X
ma-50	574	10	(	(	PUNCT
ma-50	574	11	1−	1−	NUM
ma-50	574	12	δn	δn	NOUN
ma-50	574	13	,	,	PUNCT
ma-50	574	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	574	15	−	−	PROPN
ma-50	574	16	q‖2	q‖2	PROPN
ma-50	574	17	=	=	SYM
ma-50	574	18	‖tn+1	‖tn+1	NOUN
ma-50	574	19	−	−	PROPN
ma-50	574	20	δn,1v1n,1	δn,1v1n,1	NOUN
ma-50	574	21	−	−	NOUN
ma-50	575	1	`	`	PUNCT
ma-50	575	2	1∑	1∑	NUM
ma-50	575	3	j=2	j=2	PROPN
ma-50	575	4	δn	δn	PROPN
ma-50	575	5	,	,	PUNCT
ma-50	575	6	j	j	PROPN
ma-50	575	7	j−1∏	j−1∏	PROPN
ma-50	575	8	i=1	i=1	PROPN
ma-50	576	1	(	(	PUNCT
ma-50	576	2	1−	1−	NUM
ma-50	576	3	δn	δn	NOUN
ma-50	576	4	,	,	PUNCT
ma-50	576	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	576	6	−	−	NOUN
ma-50	576	7	`	`	PUNCT
ma-50	576	8	1∏	1∏	NUM
ma-50	576	9	i=1	i=1	PROPN
ma-50	576	10	(	(	PUNCT
ma-50	576	11	1−	1−	NUM
ma-50	576	12	δn	δn	NOUN
ma-50	576	13	,	,	PUNCT
ma-50	576	14	i)γ`1v1n	i)γ`1v1n	ADJ
ma-50	576	15	‖2	‖2	NOUN
ma-50	577	1	+	+	NOUN
ma-50	577	2	‖δn,1v1n,1	‖δn,1v1n,1	NOUN
ma-50	577	3	+	+	CCONJ
ma-50	577	4	`	`	PUNCT
ma-50	577	5	1∑	1∑	NUM
ma-50	577	6	j=2	j=2	PROPN
ma-50	577	7	δn	δn	PROPN
ma-50	577	8	,	,	PUNCT
ma-50	577	9	j	j	PROPN
ma-50	577	10	j−1∏	j−1∏	PROPN
ma-50	577	11	i=1	i=1	PROPN
ma-50	578	1	(	(	PUNCT
ma-50	578	2	1−	1−	NUM
ma-50	578	3	δn	δn	NOUN
ma-50	578	4	,	,	PUNCT
ma-50	578	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	578	6	+	+	CCONJ
ma-50	578	7	`	`	PUNCT
ma-50	578	8	1∏	1∏	NUM
ma-50	578	9	i=1	i=1	X
ma-50	578	10	(	(	PUNCT
ma-50	578	11	1−	1−	NUM
ma-50	578	12	δn	δn	NOUN
ma-50	578	13	,	,	PUNCT
ma-50	578	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	578	15	−	−	PROPN
ma-50	578	16	q‖2	q‖2	PROPN
ma-50	578	17	=	=	PUNCT
ma-50	578	18	εn	εn	ADJ
ma-50	578	19	+	+	CCONJ
ma-50	578	20	‖δn,1v1n,1	‖δn,1v1n,1	NOUN
ma-50	578	21	+	+	CCONJ
ma-50	579	1	`	`	PUNCT
ma-50	579	2	1∑	1∑	NUM
ma-50	579	3	j=2	j=2	PROPN
ma-50	579	4	δn	δn	PROPN
ma-50	579	5	,	,	PUNCT
ma-50	579	6	j	j	PROPN
ma-50	579	7	j−1∏	j−1∏	PROPN
ma-50	579	8	i=1	i=1	PROPN
ma-50	580	1	(	(	PUNCT
ma-50	580	2	1−	1−	NUM
ma-50	580	3	δn	δn	NOUN
ma-50	580	4	,	,	PUNCT
ma-50	580	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	580	6	+	+	CCONJ
ma-50	580	7	`	`	PUNCT
ma-50	580	8	1∏	1∏	NUM
ma-50	580	9	i=1	i=1	X
ma-50	580	10	(	(	PUNCT
ma-50	580	11	1−	1−	NUM
ma-50	580	12	δn	δn	NOUN
ma-50	580	13	,	,	PUNCT
ma-50	580	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	580	15	−	−	PROPN
ma-50	580	16	q‖2	q‖2	VERB
ma-50	580	17	≤	≤	NOUN
ma-50	580	18	εn	εn	ADP
ma-50	580	19	+	+	NUM
ma-50	580	20	δn,1‖v1n,1	δn,1‖v1n,1	NOUN
ma-50	580	21	−	−	PROPN
ma-50	581	1	q‖2	q‖2	PROPN
ma-50	582	1	+	+	CCONJ
ma-50	582	2	`	`	PUNCT
ma-50	582	3	1∑	1∑	NUM
ma-50	582	4	j=2	j=2	PROPN
ma-50	582	5	δn	δn	PROPN
ma-50	582	6	,	,	PUNCT
ma-50	582	7	j	j	PROPN
ma-50	583	1	j−1∏	j−1∏	PROPN
ma-50	583	2	i=1	i=1	PROPN
ma-50	584	1	(	(	PUNCT
ma-50	584	2	1−	1−	NUM
ma-50	584	3	δn	δn	NOUN
ma-50	584	4	,	,	PUNCT
ma-50	584	5	i)‖γj−1v1n	i)‖γj−1v1n	NUM
ma-50	584	6	−	−	NOUN
ma-50	584	7	q‖2	q‖2	VERB
ma-50	584	8	+	+	CCONJ
ma-50	584	9	`	`	PUNCT
ma-50	584	10	1∏	1∏	NUM
ma-50	584	11	i=1	i=1	PROPN
ma-50	584	12	(	(	PUNCT
ma-50	584	13	1−	1−	NUM
ma-50	584	14	δn	δn	NOUN
ma-50	584	15	,	,	PUNCT
ma-50	584	16	i)‖γ`1v1n	i)‖γ`1v1n	PROPN
ma-50	584	17	−	−	PROPN
ma-50	584	18	q‖2	q‖2	VERB
ma-50	584	19	≤	≤	NOUN
ma-50	584	20	εn	εn	ADP
ma-50	584	21	+	+	NUM
ma-50	584	22	δn,1‖v1n,1	δn,1‖v1n,1	NOUN
ma-50	585	1	−	−	PROPN
ma-50	585	2	q‖2	q‖2	PROPN
ma-50	585	3	+	+	CCONJ
ma-50	585	4	`	`	PUNCT
ma-50	585	5	1∑	1∑	NUM
ma-50	585	6	j=2	j=2	PROPN
ma-50	585	7	δn	δn	NOUN
ma-50	585	8	,	,	PUNCT
ma-50	585	9	j(ρ	j(ρ	PROPN
ma-50	585	10	j)2	j)2	VERB
ma-50	585	11	j−1∏	j−1∏	ADP
ma-50	585	12	i=1	i=1	PROPN
ma-50	586	1	(	(	PUNCT
ma-50	586	2	1−	1−	NUM
ma-50	586	3	δn	δn	NOUN
ma-50	586	4	,	,	PUNCT
ma-50	586	5	i)‖v1n	i)‖v1n	ADJ
ma-50	586	6	−	−	PROPN
ma-50	586	7	q‖2	q‖2	VERB
ma-50	586	8	+	+	CCONJ
ma-50	586	9	`	`	PUNCT
ma-50	586	10	1∏	1∏	NUM
ma-50	586	11	i=1	i=1	PROPN
ma-50	586	12	(	(	PUNCT
ma-50	586	13	1−	1−	NUM
ma-50	586	14	δn	δn	NOUN
ma-50	586	15	,	,	PUNCT
ma-50	586	16	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	586	17	−	−	PROPN
ma-50	586	18	q‖2	q‖2	VERB
ma-50	586	19	≤	≤	NOUN
ma-50	586	20	εn	εn	ADJ
ma-50	586	21	+	+	CCONJ
ma-50	586	22	(	(	PUNCT
ma-50	586	23	δn,1	δn,1	NOUN
ma-50	586	24	+	+	NOUN
ma-50	586	25	`	`	PUNCT
ma-50	586	26	1∑	1∑	NUM
ma-50	586	27	j=2	j=2	PROPN
ma-50	586	28	δn	δn	NOUN
ma-50	586	29	,	,	PUNCT
ma-50	586	30	j(ρ	j(ρ	PROPN
ma-50	586	31	j)2	j)2	VERB
ma-50	586	32	j−1∏	j−1∏	ADP
ma-50	586	33	i=1	i=1	PROPN
ma-50	587	1	(	(	PUNCT
ma-50	587	2	1−	1−	NUM
ma-50	587	3	δn	δn	NOUN
ma-50	587	4	,	,	PUNCT
ma-50	587	5	i	i	NOUN
ma-50	587	6	)	)	PUNCT
ma-50	588	1	+	+	CCONJ
ma-50	589	1	`	`	PUNCT
ma-50	589	2	1∏	1∏	NUM
ma-50	589	3	i=1	i=1	X
ma-50	589	4	(	(	PUNCT
ma-50	589	5	1−	1−	NUM
ma-50	589	6	δn	δn	NOUN
ma-50	589	7	,	,	PUNCT
ma-50	589	8	i)(ρj)2	i)(ρj)2	ADJ
ma-50	589	9	)	)	PUNCT
ma-50	589	10	×‖v1n	×‖v1n	PRON
ma-50	589	11	−	−	PROPN
ma-50	589	12	q‖2	q‖2	PROPN
ma-50	589	13	(	(	PUNCT
ma-50	589	14	4.5	4.5	NUM
ma-50	589	15	)	)	PUNCT
ma-50	589	16	since	since	SCONJ
ma-50	589	17	`	`	PUNCT
ma-50	589	18	1	1	NUM
ma-50	589	19	,	,	PUNCT
ma-50	589	20	`	`	PUNCT
ma-50	589	21	k	k	X
ma-50	589	22	are	be	AUX
ma-50	589	23	fixed	fix	VERB
ma-50	589	24	integers	integer	NOUN
ma-50	589	25	and	and	CCONJ
ma-50	589	26	αsn	αsn	NOUN
ma-50	589	27	,	,	PUNCT
ma-50	589	28	i	i	PRON
ma-50	589	29	∈	∈	VERB
ma-50	590	1	[	[	X
ma-50	590	2	0	0	NUM
ma-50	590	3	,	,	PUNCT
ma-50	590	4	1	1	NUM
ma-50	590	5	]	]	PUNCT
ma-50	590	6	for	for	ADP
ma-50	590	7	each	each	DET
ma-50	590	8	s	s	NOUN
ma-50	590	9	,	,	PUNCT
ma-50	590	10	using	use	VERB
ma-50	590	11	(	(	PUNCT
ma-50	590	12	3.2	3.2	NUM
ma-50	590	13	)	)	PUNCT
ma-50	590	14	and	and	CCONJ
ma-50	590	15	(	(	PUNCT
ma-50	590	16	3.12	3.12	NUM
ma-50	590	17	)	)	PUNCT
ma-50	590	18	,	,	PUNCT
ma-50	590	19	the	the	DET
ma-50	590	20	estimationsbelow	estimationsbelow	NOUN
ma-50	590	21	are	be	AUX
ma-50	590	22	obtained	obtain	VERB
ma-50	590	23	,	,	PUNCT
ma-50	590	24	for	for	ADP
ma-50	590	25	n	n	NOUN
ma-50	590	26	=	=	SYM
ma-50	590	27	1	1	NUM
ma-50	590	28	,	,	PUNCT
ma-50	590	29	2	2	NUM
ma-50	590	30	,	,	PUNCT
ma-50	590	31	·	·	PUNCT
ma-50	590	32	·	·	PUNCT
ma-50	590	33	·	·	PUNCT
ma-50	590	34	and	and	CCONJ
ma-50	590	35	1	1	NUM
ma-50	590	36	≤	≤	NOUN
ma-50	590	37	s	s	PART
ma-50	590	38	≤	≤	NUM
ma-50	591	1	k	k	NOUN
ma-50	591	2	−	−	PROPN
ma-50	591	3	1	1	NUM
ma-50	591	4	:	:	PUNCT
ma-50	591	5	,	,	PUNCT
ma-50	591	6	‖v1n	‖v1n	ADJ
ma-50	591	7	−	−	NOUN
ma-50	591	8	q‖2	q‖2	VERB
ma-50	591	9	≤	≤	PUNCT
ma-50	592	1	α1n,1‖v2n	α1n,1‖v2n	PROPN
ma-50	592	2	−	−	PROPN
ma-50	593	1	q‖2	q‖2	VERB
ma-50	593	2	+	+	CCONJ
ma-50	593	3	`	`	PUNCT
ma-50	593	4	2∑	2∑	NUM
ma-50	593	5	j=2	j=2	PROPN
ma-50	593	6	α1n	α1n	PROPN
ma-50	593	7	,	,	PUNCT
ma-50	593	8	j	j	PROPN
ma-50	594	1	j−1∏	j−1∏	PROPN
ma-50	594	2	i=1	i=1	PROPN
ma-50	595	1	(	(	PUNCT
ma-50	595	2	1−	1−	NUM
ma-50	595	3	α1n	α1n	PROPN
ma-50	595	4	,	,	PUNCT
ma-50	595	5	i)‖γj−1v2n	i)‖γj−1v2n	PROPN
ma-50	595	6	−	−	PROPN
ma-50	595	7	γj−1q‖2	γj−1q‖2	PROPN
ma-50	596	1	+	+	CCONJ
ma-50	596	2	`	`	PUNCT
ma-50	596	3	2∏	2∏	NUM
ma-50	596	4	i=1	i=1	PROPN
ma-50	596	5	(	(	PUNCT
ma-50	596	6	1−	1−	NUM
ma-50	596	7	α1n	α1n	NOUN
ma-50	596	8	,	,	PUNCT
ma-50	596	9	i)‖γ`2v2n	i)‖γ`2v2n	PROPN
ma-50	596	10	−	−	PROPN
ma-50	596	11	γ`2q‖2	γ`2q‖2	VERB
ma-50	596	12	≤	≤	PUNCT
ma-50	597	1	α1n,1	α1n,1	PROPN
ma-50	597	2	+	+	CCONJ
ma-50	597	3	`	`	PUNCT
ma-50	597	4	2∑	2∑	NUM
ma-50	597	5	j=2	j=2	PROPN
ma-50	597	6	α1n	α1n	PROPN
ma-50	597	7	,	,	PUNCT
ma-50	597	8	j(ρ	j(ρ	PROPN
ma-50	597	9	j)2	j)2	VERB
ma-50	597	10	j−1∏	j−1∏	ADP
ma-50	597	11	i=1	i=1	PROPN
ma-50	597	12	(	(	PUNCT
ma-50	597	13	1−	1−	NUM
ma-50	597	14	α1n	α1n	PROPN
ma-50	597	15	,	,	PUNCT
ma-50	597	16	i	i	NOUN
ma-50	597	17	)	)	PUNCT
ma-50	598	1	+	+	CCONJ
ma-50	598	2	`	`	PUNCT
ma-50	598	3	2∏	2∏	NUM
ma-50	598	4	i=1	i=1	PROPN
ma-50	598	5	(	(	PUNCT
ma-50	598	6	1−	1−	NUM
ma-50	598	7	α1n	α1n	NOUN
ma-50	598	8	,	,	PUNCT
ma-50	598	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	598	10			PROPN
ma-50	598	11	‖v2n	‖v2n	PROPN
ma-50	598	12	−	−	NOUN
ma-50	598	13	q‖2	q‖2	VERB
ma-50	598	14	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	598	15	eur	eur	NOUN
ma-50	598	16	.	.	PUNCT
ma-50	599	1	j.	j.	PROPN
ma-50	599	2	math	math	PROPN
ma-50	599	3	.	.	PUNCT
ma-50	600	1	anal	anal	PROPN
ma-50	600	2	.	.	PUNCT
ma-50	601	1	10.28924	10.28924	NUM
ma-50	601	2	/	/	SYM
ma-50	601	3	ada	ada	PROPN
ma-50	601	4	/	/	SYM
ma-50	601	5	ma.2.1	ma.2.1	PROPN
ma-50	601	6	22	22	NUM
ma-50	601	7	≤	≤	NUM
ma-50	601	8	α1n,1	α1n,1	PROPN
ma-50	602	1	+	+	NOUN
ma-50	602	2	`	`	PUNCT
ma-50	602	3	2∑	2∑	NUM
ma-50	602	4	j=2	j=2	SYM
ma-50	602	5	α2n	α2n	PROPN
ma-50	602	6	,	,	PUNCT
ma-50	602	7	j(ρ	j(ρ	PROPN
ma-50	602	8	j)2	j)2	VERB
ma-50	602	9	j−1∏	j−1∏	ADP
ma-50	602	10	i=1	i=1	PROPN
ma-50	602	11	(	(	PUNCT
ma-50	602	12	1−	1−	NUM
ma-50	602	13	α1n	α1n	PROPN
ma-50	602	14	,	,	PUNCT
ma-50	602	15	i	i	NOUN
ma-50	602	16	)	)	PUNCT
ma-50	603	1	+	+	CCONJ
ma-50	603	2	`	`	PUNCT
ma-50	603	3	2∏	2∏	NUM
ma-50	603	4	i=1	i=1	PROPN
ma-50	603	5	(	(	PUNCT
ma-50	603	6	1−	1−	NUM
ma-50	603	7	α1n	α1n	NOUN
ma-50	603	8	,	,	PUNCT
ma-50	603	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	603	10	[α2n,1‖v3n	[α2n,1‖v3n	NOUN
ma-50	603	11	−	−	PROPN
ma-50	603	12	q‖2	q‖2	VERB
ma-50	603	13	+	+	CCONJ
ma-50	603	14	`	`	PUNCT
ma-50	603	15	3∑	3∑	NUM
ma-50	603	16	j=2	j=2	PROPN
ma-50	603	17	α2n	α2n	PROPN
ma-50	603	18	,	,	PUNCT
ma-50	603	19	j	j	PROPN
ma-50	604	1	j−1∏	j−1∏	PROPN
ma-50	604	2	i=1	i=1	PROPN
ma-50	605	1	(	(	PUNCT
ma-50	605	2	1−	1−	NUM
ma-50	605	3	α2n	α2n	PROPN
ma-50	605	4	,	,	PUNCT
ma-50	605	5	i)‖γj−1v3n	i)‖γj−1v3n	PROPN
ma-50	605	6	−	−	PROPN
ma-50	606	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	606	2	+	+	CCONJ
ma-50	606	3	`	`	PUNCT
ma-50	606	4	3∏	3∏	NUM
ma-50	606	5	i=1	i=1	X
ma-50	606	6	(	(	PUNCT
ma-50	606	7	1−	1−	NUM
ma-50	606	8	α2n	α2n	PROPN
ma-50	606	9	,	,	PUNCT
ma-50	606	10	i)‖γ`3v3n	i)‖γ`3v3n	PROPN
ma-50	606	11	−	−	PROPN
ma-50	606	12	γ`3q‖2	γ`3q‖2	NOUN
ma-50	606	13	]	]	PUNCT
ma-50	607	1	≤	≤	NUM
ma-50	607	2	α1n,1	α1n,1	PROPN
ma-50	607	3	+	+	CCONJ
ma-50	607	4	`	`	PUNCT
ma-50	607	5	2∑	2∑	NUM
ma-50	607	6	j=2	j=2	PROPN
ma-50	607	7	α1n	α1n	PROPN
ma-50	607	8	,	,	PUNCT
ma-50	607	9	j(ρ	j(ρ	PROPN
ma-50	607	10	j)2	j)2	VERB
ma-50	607	11	j−1∏	j−1∏	ADP
ma-50	607	12	i=1	i=1	PROPN
ma-50	607	13	(	(	PUNCT
ma-50	607	14	1−	1−	NUM
ma-50	607	15	α1n	α1n	PROPN
ma-50	607	16	,	,	PUNCT
ma-50	607	17	i	i	NOUN
ma-50	607	18	)	)	PUNCT
ma-50	608	1	+	+	CCONJ
ma-50	608	2	`	`	PUNCT
ma-50	608	3	2∏	2∏	NUM
ma-50	608	4	i=1	i=1	PROPN
ma-50	608	5	(	(	PUNCT
ma-50	608	6	1−	1−	NUM
ma-50	608	7	α1n	α1n	NOUN
ma-50	608	8	,	,	PUNCT
ma-50	608	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	608	10	[α2n,1‖v3n	[α2n,1‖v3n	NOUN
ma-50	608	11	−	−	PROPN
ma-50	608	12	q‖2	q‖2	VERB
ma-50	608	13	+	+	CCONJ
ma-50	608	14	`	`	PUNCT
ma-50	608	15	3∑	3∑	NUM
ma-50	608	16	j=2	j=2	PROPN
ma-50	608	17	α2n	α2n	PROPN
ma-50	608	18	,	,	PUNCT
ma-50	608	19	j(ρ	j(ρ	PROPN
ma-50	608	20	j)2	j)2	VERB
ma-50	608	21	j−1∏	j−1∏	ADP
ma-50	608	22	i=1	i=1	PROPN
ma-50	608	23	(	(	PUNCT
ma-50	608	24	1−	1−	NUM
ma-50	608	25	αn	αn	NOUN
ma-50	608	26	,	,	PUNCT
ma-50	608	27	i)‖v3n	i)‖v3n	NOUN
ma-50	608	28	−	−	VERB
ma-50	608	29	q‖2	q‖2	NOUN
ma-50	609	1	+	+	CCONJ
ma-50	609	2	`	`	PUNCT
ma-50	609	3	3∏	3∏	NUM
ma-50	609	4	i=1	i=1	X
ma-50	609	5	(	(	PUNCT
ma-50	609	6	1−	1−	NUM
ma-50	609	7	α2n	α2n	PROPN
ma-50	609	8	,	,	PUNCT
ma-50	609	9	i)(ρj)2‖v3n	i)(ρj)2‖v3n	PROPN
ma-50	609	10	−	−	PROPN
ma-50	609	11	q‖2	q‖2	VERB
ma-50	609	12	]	]	PUNCT
ma-50	610	1	=	=	SYM
ma-50	610	2	α1n,1	α1n,1	PROPN
ma-50	610	3	+	+	CCONJ
ma-50	610	4	`	`	PUNCT
ma-50	610	5	2∑	2∑	NUM
ma-50	610	6	j=2	j=2	PROPN
ma-50	610	7	α1n	α1n	PROPN
ma-50	610	8	,	,	PUNCT
ma-50	610	9	j(ρ	j(ρ	PROPN
ma-50	610	10	j)2	j)2	VERB
ma-50	610	11	j−1∏	j−1∏	ADP
ma-50	610	12	i=1	i=1	PROPN
ma-50	610	13	(	(	PUNCT
ma-50	610	14	1−	1−	NUM
ma-50	610	15	α1n	α1n	PROPN
ma-50	610	16	,	,	PUNCT
ma-50	610	17	i	i	NOUN
ma-50	610	18	)	)	PUNCT
ma-50	611	1	+	+	CCONJ
ma-50	611	2	`	`	PUNCT
ma-50	611	3	2∏	2∏	NUM
ma-50	611	4	i=1	i=1	PROPN
ma-50	611	5	(	(	PUNCT
ma-50	611	6	1−	1−	NUM
ma-50	611	7	α1n	α1n	NOUN
ma-50	611	8	,	,	PUNCT
ma-50	611	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	611	10			PROPN
ma-50	611	11	×	×	NOUN
ma-50	611	12	(	(	PUNCT
ma-50	611	13	α2n,1	α2n,1	NUM
ma-50	611	14	+	+	NOUN
ma-50	611	15	`	`	PUNCT
ma-50	611	16	3∑	3∑	NUM
ma-50	611	17	j=2	j=2	PROPN
ma-50	611	18	α2n	α2n	PROPN
ma-50	611	19	,	,	PUNCT
ma-50	611	20	j(ρ	j(ρ	PROPN
ma-50	611	21	j)2	j)2	VERB
ma-50	611	22	j−1∏	j−1∏	ADP
ma-50	611	23	i=1	i=1	PROPN
ma-50	611	24	(	(	PUNCT
ma-50	611	25	1−	1−	NUM
ma-50	611	26	αn	αn	NOUN
ma-50	611	27	,	,	PUNCT
ma-50	611	28	i	i	PRON
ma-50	611	29	)	)	PUNCT
ma-50	612	1	+	+	CCONJ
ma-50	612	2	`	`	PUNCT
ma-50	612	3	3∏	3∏	NUM
ma-50	612	4	i=1	i=1	X
ma-50	612	5	(	(	PUNCT
ma-50	612	6	1−	1−	NUM
ma-50	612	7	α2n	α2n	PROPN
ma-50	612	8	,	,	PUNCT
ma-50	612	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	612	10	)	)	PUNCT
ma-50	612	11	‖v3n	‖v3n	ADJ
ma-50	612	12	−	−	NOUN
ma-50	612	13	q‖2	q‖2	VERB
ma-50	612	14	≤	≤	PUNCT
ma-50	612	15	α1n,1	α1n,1	PROPN
ma-50	612	16	+	+	CCONJ
ma-50	612	17	`	`	PUNCT
ma-50	612	18	2∑	2∑	NUM
ma-50	612	19	j=2	j=2	PROPN
ma-50	612	20	α1n	α1n	PROPN
ma-50	612	21	,	,	PUNCT
ma-50	612	22	j(ρ	j(ρ	PROPN
ma-50	612	23	j)2	j)2	VERB
ma-50	612	24	j−1∏	j−1∏	ADP
ma-50	612	25	i=1	i=1	PROPN
ma-50	613	1	(	(	PUNCT
ma-50	613	2	1−	1−	NUM
ma-50	613	3	α1n	α1n	PROPN
ma-50	613	4	,	,	PUNCT
ma-50	613	5	i	i	NOUN
ma-50	613	6	)	)	PUNCT
ma-50	614	1	+	+	CCONJ
ma-50	614	2	`	`	PUNCT
ma-50	614	3	2∏	2∏	NUM
ma-50	614	4	i=1	i=1	PROPN
ma-50	614	5	(	(	PUNCT
ma-50	614	6	1−	1−	NUM
ma-50	614	7	α1n	α1n	NOUN
ma-50	614	8	,	,	PUNCT
ma-50	614	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	614	10			PROPN
ma-50	614	11	×	×	NOUN
ma-50	614	12	(	(	PUNCT
ma-50	614	13	α2n,1	α2n,1	NUM
ma-50	614	14	+	+	NOUN
ma-50	614	15	`	`	PUNCT
ma-50	614	16	3∑	3∑	NUM
ma-50	614	17	j=2	j=2	PROPN
ma-50	614	18	α2n	α2n	PROPN
ma-50	614	19	,	,	PUNCT
ma-50	614	20	j(ρ	j(ρ	PROPN
ma-50	614	21	j)2	j)2	VERB
ma-50	614	22	j−1∏	j−1∏	ADP
ma-50	614	23	i=1	i=1	PROPN
ma-50	614	24	(	(	PUNCT
ma-50	614	25	1−	1−	NUM
ma-50	614	26	αn	αn	NOUN
ma-50	614	27	,	,	PUNCT
ma-50	614	28	i	i	PRON
ma-50	614	29	)	)	PUNCT
ma-50	615	1	+	+	CCONJ
ma-50	615	2	`	`	PUNCT
ma-50	615	3	3∏	3∏	NUM
ma-50	615	4	i=1	i=1	X
ma-50	615	5	(	(	PUNCT
ma-50	615	6	1−	1−	NUM
ma-50	615	7	α2n	α2n	PROPN
ma-50	615	8	,	,	PUNCT
ma-50	615	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	615	10	)	)	PUNCT
ma-50	615	11	[	[	PUNCT
ma-50	615	12	α3n,1‖v4n	α3n,1‖v4n	PROPN
ma-50	615	13	−	−	PROPN
ma-50	615	14	q‖2	q‖2	VERB
ma-50	615	15	+	+	CCONJ
ma-50	615	16	`	`	PUNCT
ma-50	615	17	4∑	4∑	NUM
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ma-50	615	19	α3n	α3n	PROPN
ma-50	615	20	,	,	PUNCT
ma-50	615	21	j	j	PROPN
ma-50	615	22	j−1∏	j−1∏	PROPN
ma-50	615	23	i=1	i=1	PROPN
ma-50	616	1	(	(	PUNCT
ma-50	616	2	1−	1−	NUM
ma-50	616	3	α3n	α3n	PROPN
ma-50	616	4	,	,	PUNCT
ma-50	616	5	i)‖γj−1v4n	i)‖γj−1v4n	PROPN
ma-50	616	6	−	−	PROPN
ma-50	617	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	617	2	+	+	CCONJ
ma-50	617	3	`	`	PUNCT
ma-50	617	4	4∏	4∏	NUM
ma-50	617	5	i=1	i=1	X
ma-50	617	6	(	(	PUNCT
ma-50	617	7	1−	1−	NUM
ma-50	617	8	α3n	α3n	PROPN
ma-50	617	9	,	,	PUNCT
ma-50	617	10	i)‖γ`4v4n	i)‖γ`4v4n	PROPN
ma-50	617	11	−	−	PROPN
ma-50	617	12	γ`4q‖2	γ`4q‖2	PROPN
ma-50	617	13	]	]	PUNCT
ma-50	617	14	≤	≤	NUM
ma-50	617	15	α1n,1	α1n,1	PROPN
ma-50	617	16	+	+	CCONJ
ma-50	617	17	`	`	PUNCT
ma-50	617	18	2∑	2∑	NUM
ma-50	617	19	j=2	j=2	PROPN
ma-50	617	20	α1n	α1n	PROPN
ma-50	617	21	,	,	PUNCT
ma-50	617	22	j(ρ	j(ρ	PROPN
ma-50	617	23	j)2	j)2	VERB
ma-50	617	24	j−1∏	j−1∏	ADP
ma-50	617	25	i=1	i=1	PROPN
ma-50	617	26	(	(	PUNCT
ma-50	617	27	1−	1−	NUM
ma-50	617	28	α1n	α1n	PROPN
ma-50	617	29	,	,	PUNCT
ma-50	617	30	i	i	NOUN
ma-50	617	31	)	)	PUNCT
ma-50	618	1	+	+	CCONJ
ma-50	618	2	`	`	PUNCT
ma-50	618	3	2∏	2∏	NUM
ma-50	618	4	i=1	i=1	PROPN
ma-50	618	5	(	(	PUNCT
ma-50	618	6	1−	1−	NUM
ma-50	618	7	α1n	α1n	NOUN
ma-50	618	8	,	,	PUNCT
ma-50	618	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	618	10			PROPN
ma-50	618	11	×	×	NOUN
ma-50	618	12	(	(	PUNCT
ma-50	618	13	α2n,1	α2n,1	NUM
ma-50	618	14	+	+	NOUN
ma-50	618	15	`	`	PUNCT
ma-50	618	16	3∑	3∑	NUM
ma-50	618	17	j=2	j=2	PROPN
ma-50	618	18	α2n	α2n	PROPN
ma-50	618	19	,	,	PUNCT
ma-50	618	20	j(ρ	j(ρ	PROPN
ma-50	618	21	j)2	j)2	VERB
ma-50	618	22	j−1∏	j−1∏	ADP
ma-50	618	23	i=1	i=1	PROPN
ma-50	618	24	(	(	PUNCT
ma-50	618	25	1−	1−	NUM
ma-50	618	26	αn	αn	NOUN
ma-50	618	27	,	,	PUNCT
ma-50	618	28	i	i	PRON
ma-50	618	29	)	)	PUNCT
ma-50	619	1	+	+	CCONJ
ma-50	619	2	`	`	PUNCT
ma-50	619	3	3∏	3∏	NUM
ma-50	619	4	i=1	i=1	X
ma-50	619	5	(	(	PUNCT
ma-50	619	6	1−	1−	NUM
ma-50	619	7	α2n	α2n	PROPN
ma-50	619	8	,	,	PUNCT
ma-50	619	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	619	10	)	)	PUNCT
ma-50	619	11	[	[	PUNCT
ma-50	619	12	α3n,1‖v4n	α3n,1‖v4n	PROPN
ma-50	619	13	−	−	PROPN
ma-50	619	14	q‖2	q‖2	VERB
ma-50	619	15	+	+	CCONJ
ma-50	619	16	`	`	PUNCT
ma-50	619	17	4∑	4∑	NUM
ma-50	619	18	j=2	j=2	PROPN
ma-50	619	19	α3n	α3n	PROPN
ma-50	619	20	,	,	PUNCT
ma-50	619	21	j(ρ	j(ρ	PROPN
ma-50	619	22	j)2	j)2	VERB
ma-50	620	1	j−1∏	j−1∏	ADP
ma-50	620	2	i=1	i=1	PROPN
ma-50	620	3	(	(	PUNCT
ma-50	620	4	1−	1−	NUM
ma-50	620	5	α3n	α3n	PROPN
ma-50	620	6	,	,	PUNCT
ma-50	620	7	i)‖v4n	i)‖v4n	NOUN
ma-50	620	8	−	−	PROPN
ma-50	620	9	q‖2	q‖2	VERB
ma-50	620	10	+	+	CCONJ
ma-50	620	11	`	`	PUNCT
ma-50	620	12	4∏	4∏	NUM
ma-50	620	13	i=1	i=1	X
ma-50	620	14	(	(	PUNCT
ma-50	620	15	1−	1−	NUM
ma-50	620	16	α3n	α3n	PROPN
ma-50	620	17	,	,	PUNCT
ma-50	620	18	i)(ρj)2‖v4n	i)(ρj)2‖v4n	PROPN
ma-50	620	19	−	−	PROPN
ma-50	620	20	q‖2	q‖2	VERB
ma-50	620	21	]	]	PUNCT
ma-50	620	22	=	=	SYM
ma-50	620	23	α1n,1	α1n,1	PROPN
ma-50	621	1	+	+	CCONJ
ma-50	621	2	`	`	PUNCT
ma-50	621	3	2∑	2∑	NUM
ma-50	621	4	j=2	j=2	PROPN
ma-50	621	5	α1n	α1n	PROPN
ma-50	621	6	,	,	PUNCT
ma-50	621	7	j(ρ	j(ρ	PROPN
ma-50	621	8	j)2	j)2	VERB
ma-50	621	9	j−1∏	j−1∏	ADP
ma-50	621	10	i=1	i=1	PROPN
ma-50	621	11	(	(	PUNCT
ma-50	621	12	1−	1−	NUM
ma-50	621	13	α1n	α1n	PROPN
ma-50	621	14	,	,	PUNCT
ma-50	621	15	i	i	NOUN
ma-50	621	16	)	)	PUNCT
ma-50	622	1	+	+	CCONJ
ma-50	622	2	`	`	PUNCT
ma-50	622	3	2∏	2∏	NUM
ma-50	622	4	i=1	i=1	PROPN
ma-50	622	5	(	(	PUNCT
ma-50	622	6	1−	1−	NUM
ma-50	622	7	α1n	α1n	NOUN
ma-50	622	8	,	,	PUNCT
ma-50	622	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	622	10			PROPN
ma-50	622	11	×	×	NOUN
ma-50	622	12	(	(	PUNCT
ma-50	622	13	α2n,1	α2n,1	NUM
ma-50	622	14	+	+	NOUN
ma-50	622	15	`	`	PUNCT
ma-50	622	16	3∑	3∑	NUM
ma-50	622	17	j=2	j=2	PROPN
ma-50	622	18	α2n	α2n	PROPN
ma-50	622	19	,	,	PUNCT
ma-50	622	20	j(ρ	j(ρ	PROPN
ma-50	622	21	j)2	j)2	VERB
ma-50	622	22	j−1∏	j−1∏	ADP
ma-50	622	23	i=1	i=1	PROPN
ma-50	622	24	(	(	PUNCT
ma-50	622	25	1−	1−	NUM
ma-50	622	26	αn	αn	NOUN
ma-50	622	27	,	,	PUNCT
ma-50	622	28	i	i	PRON
ma-50	622	29	)	)	PUNCT
ma-50	623	1	+	+	CCONJ
ma-50	623	2	`	`	PUNCT
ma-50	623	3	3∏	3∏	NUM
ma-50	623	4	i=1	i=1	X
ma-50	623	5	(	(	PUNCT
ma-50	623	6	1−	1−	NUM
ma-50	623	7	α2n	α2n	PROPN
ma-50	623	8	,	,	PUNCT
ma-50	623	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	623	10	)	)	PUNCT
ma-50	623	11	×	×	NOUN
ma-50	623	12	(	(	PUNCT
ma-50	623	13	α3n,1	α3n,1	NUM
ma-50	623	14	+	+	CCONJ
ma-50	623	15	`	`	PUNCT
ma-50	623	16	4∑	4∑	NUM
ma-50	623	17	j=2	j=2	PROPN
ma-50	623	18	α3n	α3n	PROPN
ma-50	623	19	,	,	PUNCT
ma-50	623	20	j(ρ	j(ρ	PROPN
ma-50	623	21	j)2	j)2	VERB
ma-50	623	22	j−1∏	j−1∏	ADP
ma-50	623	23	i=1	i=1	PROPN
ma-50	623	24	(	(	PUNCT
ma-50	623	25	1−	1−	NUM
ma-50	623	26	α3n	α3n	PROPN
ma-50	623	27	,	,	PUNCT
ma-50	623	28	i	i	NOUN
ma-50	623	29	)	)	PUNCT
ma-50	624	1	+	+	CCONJ
ma-50	624	2	`	`	PUNCT
ma-50	624	3	4∏	4∏	NUM
ma-50	624	4	i=1	i=1	X
ma-50	624	5	(	(	PUNCT
ma-50	624	6	1−	1−	NUM
ma-50	624	7	α3n	α3n	PROPN
ma-50	624	8	,	,	PUNCT
ma-50	624	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	624	10	)	)	PUNCT
ma-50	624	11	‖v4n	‖v4n	PROPN
ma-50	624	12	−	−	PROPN
ma-50	624	13	q‖2	q‖2	VERB
ma-50	624	14	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	624	15	eur	eur	NOUN
ma-50	624	16	.	.	PUNCT
ma-50	625	1	j.	j.	PROPN
ma-50	625	2	math	math	PROPN
ma-50	625	3	.	.	PUNCT
ma-50	626	1	anal	anal	PROPN
ma-50	626	2	.	.	PUNCT
ma-50	627	1	10.28924	10.28924	NUM
ma-50	627	2	/	/	SYM
ma-50	627	3	ada	ada	PROPN
ma-50	627	4	/	/	SYM
ma-50	627	5	ma.2.1	ma.2.1	PROPN
ma-50	627	6	23	23	NUM
ma-50	627	7	≤	≤	NUM
ma-50	627	8	α1n,1	α1n,1	PROPN
ma-50	628	1	+	+	NOUN
ma-50	629	1	`	`	PUNCT
ma-50	629	2	2∑	2∑	NUM
ma-50	629	3	j=2	j=2	PROPN
ma-50	629	4	α1n	α1n	PROPN
ma-50	629	5	,	,	PUNCT
ma-50	629	6	j(ρ	j(ρ	PROPN
ma-50	629	7	j)2	j)2	VERB
ma-50	629	8	j−1∏	j−1∏	ADP
ma-50	629	9	i=1	i=1	PROPN
ma-50	629	10	(	(	PUNCT
ma-50	629	11	1−	1−	NUM
ma-50	629	12	α1n	α1n	PROPN
ma-50	629	13	,	,	PUNCT
ma-50	629	14	i	i	NOUN
ma-50	629	15	)	)	PUNCT
ma-50	630	1	+	+	CCONJ
ma-50	630	2	`	`	PUNCT
ma-50	630	3	2∏	2∏	NUM
ma-50	630	4	i=1	i=1	PROPN
ma-50	630	5	(	(	PUNCT
ma-50	630	6	1−	1−	NUM
ma-50	630	7	α1n	α1n	NOUN
ma-50	630	8	,	,	PUNCT
ma-50	630	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	630	10			PROPN
ma-50	630	11	×	×	NOUN
ma-50	630	12	(	(	PUNCT
ma-50	630	13	α2n,1	α2n,1	NUM
ma-50	630	14	+	+	NOUN
ma-50	630	15	`	`	PUNCT
ma-50	630	16	3∑	3∑	NUM
ma-50	630	17	j=2	j=2	PROPN
ma-50	630	18	α2n	α2n	PROPN
ma-50	630	19	,	,	PUNCT
ma-50	630	20	j(ρ	j(ρ	PROPN
ma-50	630	21	j)2	j)2	VERB
ma-50	630	22	j−1∏	j−1∏	ADP
ma-50	630	23	i=1	i=1	PROPN
ma-50	630	24	(	(	PUNCT
ma-50	630	25	1−	1−	NUM
ma-50	630	26	αn	αn	NOUN
ma-50	630	27	,	,	PUNCT
ma-50	630	28	i	i	PRON
ma-50	630	29	)	)	PUNCT
ma-50	631	1	+	+	CCONJ
ma-50	631	2	`	`	PUNCT
ma-50	631	3	3∏	3∏	NUM
ma-50	631	4	i=1	i=1	X
ma-50	631	5	(	(	PUNCT
ma-50	631	6	1−	1−	NUM
ma-50	631	7	α2n	α2n	PROPN
ma-50	631	8	,	,	PUNCT
ma-50	631	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	631	10	)	)	PUNCT
ma-50	631	11	×	×	NOUN
ma-50	631	12	(	(	PUNCT
ma-50	631	13	α3n,1	α3n,1	NUM
ma-50	631	14	+	+	CCONJ
ma-50	631	15	`	`	PUNCT
ma-50	631	16	4∑	4∑	NUM
ma-50	631	17	j=2	j=2	PROPN
ma-50	631	18	α3n	α3n	PROPN
ma-50	631	19	,	,	PUNCT
ma-50	631	20	j(ρ	j(ρ	PROPN
ma-50	631	21	j)2	j)2	VERB
ma-50	631	22	j−1∏	j−1∏	ADP
ma-50	631	23	i=1	i=1	PROPN
ma-50	631	24	(	(	PUNCT
ma-50	631	25	1−	1−	NUM
ma-50	631	26	α3n	α3n	PROPN
ma-50	631	27	,	,	PUNCT
ma-50	631	28	i	i	NOUN
ma-50	631	29	)	)	PUNCT
ma-50	632	1	+	+	CCONJ
ma-50	632	2	`	`	PUNCT
ma-50	632	3	4∏	4∏	NUM
ma-50	632	4	i=1	i=1	X
ma-50	632	5	(	(	PUNCT
ma-50	632	6	1−	1−	NUM
ma-50	632	7	α3n	α3n	PROPN
ma-50	632	8	,	,	PUNCT
ma-50	632	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	632	10	)	)	PUNCT
ma-50	632	11	[	[	PUNCT
ma-50	632	12	α4n,1‖v5n	α4n,1‖v5n	NOUN
ma-50	632	13	−	−	NOUN
ma-50	632	14	q‖2	q‖2	VERB
ma-50	632	15	+	+	CCONJ
ma-50	632	16	`	`	PUNCT
ma-50	632	17	5∑	5∑	PROPN
ma-50	632	18	j=2	j=2	PROPN
ma-50	632	19	α4n	α4n	PROPN
ma-50	632	20	,	,	PUNCT
ma-50	632	21	j	j	PROPN
ma-50	632	22	j−1∏	j−1∏	PROPN
ma-50	632	23	i=1	i=1	PROPN
ma-50	632	24	(	(	PUNCT
ma-50	632	25	1−	1−	NUM
ma-50	632	26	α4n	α4n	NUM
ma-50	632	27	,	,	PUNCT
ma-50	632	28	i)‖γj−1v5n	i)‖γj−1v5n	PROPN
ma-50	632	29	−	−	PROPN
ma-50	633	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	633	2	+	+	CCONJ
ma-50	633	3	`	`	PUNCT
ma-50	633	4	5∏	5∏	NUM
ma-50	633	5	i=1	i=1	X
ma-50	633	6	(	(	PUNCT
ma-50	633	7	1−	1−	NUM
ma-50	633	8	α4n	α4n	PROPN
ma-50	633	9	,	,	PUNCT
ma-50	633	10	i)‖γ`5v5n	i)‖γ`5v5n	PRON
ma-50	633	11	−	−	NOUN
ma-50	633	12	γ`5q‖2	γ`5q‖2	ADV
ma-50	633	13	]	]	PUNCT
ma-50	634	1	≤	≤	NUM
ma-50	634	2	α1n,1	α1n,1	PROPN
ma-50	634	3	+	+	CCONJ
ma-50	634	4	`	`	PUNCT
ma-50	634	5	2∑	2∑	NUM
ma-50	634	6	j=2	j=2	PROPN
ma-50	634	7	α1n	α1n	PROPN
ma-50	634	8	,	,	PUNCT
ma-50	634	9	j(ρ	j(ρ	PROPN
ma-50	634	10	j)2	j)2	VERB
ma-50	634	11	j−1∏	j−1∏	ADP
ma-50	634	12	i=1	i=1	PROPN
ma-50	634	13	(	(	PUNCT
ma-50	634	14	1−	1−	NUM
ma-50	634	15	α1n	α1n	PROPN
ma-50	634	16	,	,	PUNCT
ma-50	634	17	i	i	NOUN
ma-50	634	18	)	)	PUNCT
ma-50	635	1	+	+	CCONJ
ma-50	635	2	`	`	PUNCT
ma-50	635	3	2∏	2∏	NUM
ma-50	635	4	i=1	i=1	PROPN
ma-50	635	5	(	(	PUNCT
ma-50	635	6	1−	1−	NUM
ma-50	635	7	α1n	α1n	NOUN
ma-50	635	8	,	,	PUNCT
ma-50	635	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	635	10			PROPN
ma-50	635	11	×	×	NOUN
ma-50	635	12	(	(	PUNCT
ma-50	635	13	α2n,1	α2n,1	NUM
ma-50	635	14	+	+	NOUN
ma-50	635	15	`	`	PUNCT
ma-50	635	16	3∑	3∑	NUM
ma-50	635	17	j=2	j=2	PROPN
ma-50	635	18	α2n	α2n	PROPN
ma-50	635	19	,	,	PUNCT
ma-50	635	20	j(ρ	j(ρ	PROPN
ma-50	635	21	j)2	j)2	VERB
ma-50	635	22	j−1∏	j−1∏	ADP
ma-50	635	23	i=1	i=1	PROPN
ma-50	635	24	(	(	PUNCT
ma-50	635	25	1−	1−	NUM
ma-50	635	26	αn	αn	NOUN
ma-50	635	27	,	,	PUNCT
ma-50	635	28	i	i	PRON
ma-50	635	29	)	)	PUNCT
ma-50	636	1	+	+	CCONJ
ma-50	636	2	`	`	PUNCT
ma-50	636	3	3∏	3∏	NUM
ma-50	636	4	i=1	i=1	X
ma-50	636	5	(	(	PUNCT
ma-50	636	6	1−	1−	NUM
ma-50	636	7	α2n	α2n	PROPN
ma-50	636	8	,	,	PUNCT
ma-50	636	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	636	10	)	)	PUNCT
ma-50	636	11	×	×	NOUN
ma-50	636	12	(	(	PUNCT
ma-50	636	13	α3n,1	α3n,1	NUM
ma-50	636	14	+	+	CCONJ
ma-50	636	15	`	`	PUNCT
ma-50	636	16	4∑	4∑	NUM
ma-50	636	17	j=2	j=2	PROPN
ma-50	636	18	α3n	α3n	PROPN
ma-50	636	19	,	,	PUNCT
ma-50	636	20	j(ρ	j(ρ	PROPN
ma-50	636	21	j)2	j)2	VERB
ma-50	636	22	j−1∏	j−1∏	ADP
ma-50	636	23	i=1	i=1	PROPN
ma-50	636	24	(	(	PUNCT
ma-50	636	25	1−	1−	NUM
ma-50	636	26	α3n	α3n	PROPN
ma-50	636	27	,	,	PUNCT
ma-50	636	28	i	i	NOUN
ma-50	636	29	)	)	PUNCT
ma-50	637	1	+	+	CCONJ
ma-50	637	2	`	`	PUNCT
ma-50	637	3	4∏	4∏	NUM
ma-50	637	4	i=1	i=1	X
ma-50	637	5	(	(	PUNCT
ma-50	637	6	1−	1−	NUM
ma-50	637	7	α3n	α3n	PROPN
ma-50	637	8	,	,	PUNCT
ma-50	637	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	637	10	)	)	PUNCT
ma-50	637	11	[	[	PUNCT
ma-50	637	12	α4n,1‖v5n	α4n,1‖v5n	NOUN
ma-50	637	13	−	−	NOUN
ma-50	637	14	q‖2	q‖2	VERB
ma-50	637	15	+	+	CCONJ
ma-50	637	16	`	`	PUNCT
ma-50	637	17	5∑	5∑	PROPN
ma-50	637	18	j=2	j=2	PROPN
ma-50	637	19	α4n	α4n	PROPN
ma-50	637	20	,	,	PUNCT
ma-50	637	21	j(ρ	j(ρ	PROPN
ma-50	637	22	j)2	j)2	VERB
ma-50	638	1	j−1∏	j−1∏	ADP
ma-50	638	2	i=1	i=1	PROPN
ma-50	639	1	(	(	PUNCT
ma-50	639	2	1−	1−	NUM
ma-50	639	3	α4n	α4n	NUM
ma-50	639	4	,	,	PUNCT
ma-50	639	5	i)‖v5n	i)‖v5n	ADJ
ma-50	639	6	−	−	PROPN
ma-50	639	7	q‖2	q‖2	VERB
ma-50	639	8	+	+	CCONJ
ma-50	639	9	`	`	PUNCT
ma-50	639	10	5∏	5∏	NUM
ma-50	639	11	i=1	i=1	X
ma-50	639	12	(	(	PUNCT
ma-50	639	13	1−	1−	NUM
ma-50	639	14	α4n	α4n	NUM
ma-50	639	15	,	,	PUNCT
ma-50	639	16	i)(ρj)2‖v5n	i)(ρj)2‖v5n	ADJ
ma-50	639	17	−	−	PROPN
ma-50	639	18	q‖2	q‖2	VERB
ma-50	639	19	]	]	PUNCT
ma-50	640	1	=	=	SYM
ma-50	640	2	α1n,1	α1n,1	PROPN
ma-50	640	3	+	+	CCONJ
ma-50	640	4	`	`	PUNCT
ma-50	640	5	2∑	2∑	NUM
ma-50	640	6	j=2	j=2	PROPN
ma-50	640	7	α1n	α1n	PROPN
ma-50	640	8	,	,	PUNCT
ma-50	640	9	j(ρ	j(ρ	PROPN
ma-50	640	10	j)2	j)2	VERB
ma-50	640	11	j−1∏	j−1∏	ADP
ma-50	640	12	i=1	i=1	PROPN
ma-50	640	13	(	(	PUNCT
ma-50	640	14	1−	1−	NUM
ma-50	640	15	α1n	α1n	PROPN
ma-50	640	16	,	,	PUNCT
ma-50	640	17	i	i	NOUN
ma-50	640	18	)	)	PUNCT
ma-50	641	1	+	+	CCONJ
ma-50	641	2	`	`	PUNCT
ma-50	641	3	2∏	2∏	NUM
ma-50	641	4	i=1	i=1	PROPN
ma-50	641	5	(	(	PUNCT
ma-50	641	6	1−	1−	NUM
ma-50	641	7	α1n	α1n	NOUN
ma-50	641	8	,	,	PUNCT
ma-50	641	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	641	10			PROPN
ma-50	641	11	×	×	NOUN
ma-50	641	12	(	(	PUNCT
ma-50	641	13	α2n,1	α2n,1	NUM
ma-50	641	14	+	+	NOUN
ma-50	641	15	`	`	PUNCT
ma-50	641	16	3∑	3∑	NUM
ma-50	641	17	j=2	j=2	PROPN
ma-50	641	18	α2n	α2n	PROPN
ma-50	641	19	,	,	PUNCT
ma-50	641	20	j(ρ	j(ρ	PROPN
ma-50	641	21	j)2	j)2	VERB
ma-50	641	22	j−1∏	j−1∏	ADP
ma-50	641	23	i=1	i=1	PROPN
ma-50	641	24	(	(	PUNCT
ma-50	641	25	1−	1−	NUM
ma-50	641	26	αn	αn	NOUN
ma-50	641	27	,	,	PUNCT
ma-50	641	28	i	i	PRON
ma-50	641	29	)	)	PUNCT
ma-50	642	1	+	+	CCONJ
ma-50	642	2	`	`	PUNCT
ma-50	642	3	3∏	3∏	NUM
ma-50	642	4	i=1	i=1	X
ma-50	642	5	(	(	PUNCT
ma-50	642	6	1−	1−	NUM
ma-50	642	7	α2n	α2n	PROPN
ma-50	642	8	,	,	PUNCT
ma-50	642	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	642	10	)	)	PUNCT
ma-50	642	11	×	×	NOUN
ma-50	642	12	(	(	PUNCT
ma-50	642	13	α3n,1	α3n,1	NUM
ma-50	642	14	+	+	CCONJ
ma-50	642	15	`	`	PUNCT
ma-50	642	16	4∑	4∑	NUM
ma-50	642	17	j=2	j=2	PROPN
ma-50	642	18	α3n	α3n	PROPN
ma-50	642	19	,	,	PUNCT
ma-50	642	20	j(ρ	j(ρ	PROPN
ma-50	642	21	j)2	j)2	VERB
ma-50	642	22	j−1∏	j−1∏	ADP
ma-50	642	23	i=1	i=1	PROPN
ma-50	642	24	(	(	PUNCT
ma-50	642	25	1−	1−	NUM
ma-50	642	26	α3n	α3n	PROPN
ma-50	642	27	,	,	PUNCT
ma-50	642	28	i	i	NOUN
ma-50	642	29	)	)	PUNCT
ma-50	643	1	+	+	CCONJ
ma-50	643	2	`	`	PUNCT
ma-50	643	3	4∏	4∏	NUM
ma-50	644	1	i=1	i=1	X
ma-50	644	2	(	(	PUNCT
ma-50	644	3	1−	1−	NUM
ma-50	644	4	α3n	α3n	PROPN
ma-50	644	5	,	,	PUNCT
ma-50	644	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	644	7	)	)	PUNCT
ma-50	644	8	×	×	NOUN
ma-50	644	9	(	(	PUNCT
ma-50	644	10	α4n,1	α4n,1	NOUN
ma-50	644	11	+	+	NUM
ma-50	644	12	`	`	PUNCT
ma-50	644	13	5∑	5∑	PROPN
ma-50	644	14	j=2	j=2	PROPN
ma-50	644	15	α4n	α4n	PROPN
ma-50	644	16	,	,	PUNCT
ma-50	644	17	j(ρ	j(ρ	PROPN
ma-50	644	18	j)2	j)2	VERB
ma-50	644	19	j−1∏	j−1∏	ADP
ma-50	644	20	i=1	i=1	PROPN
ma-50	644	21	(	(	PUNCT
ma-50	644	22	1−	1−	NUM
ma-50	644	23	α4n	α4n	NUM
ma-50	644	24	,	,	PUNCT
ma-50	644	25	i	i	NOUN
ma-50	644	26	)	)	PUNCT
ma-50	645	1	+	+	CCONJ
ma-50	645	2	`	`	PUNCT
ma-50	645	3	5∏	5∏	NUM
ma-50	645	4	i=1	i=1	X
ma-50	645	5	(	(	PUNCT
ma-50	645	6	1−	1−	NUM
ma-50	645	7	α4n	α4n	NUM
ma-50	645	8	,	,	PUNCT
ma-50	645	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	645	10	)	)	PUNCT
ma-50	645	11	‖v5n	‖v5n	ADJ
ma-50	645	12	−	−	PROPN
ma-50	645	13	q‖2	q‖2	VERB
ma-50	645	14	≤	≤	PUNCT
ma-50	645	15	α1n,1	α1n,1	PROPN
ma-50	645	16	+	+	CCONJ
ma-50	645	17	`	`	PUNCT
ma-50	645	18	2∑	2∑	NUM
ma-50	645	19	j=2	j=2	PROPN
ma-50	645	20	α1n	α1n	PROPN
ma-50	645	21	,	,	PUNCT
ma-50	645	22	j(ρ	j(ρ	PROPN
ma-50	645	23	j)2	j)2	VERB
ma-50	645	24	j−1∏	j−1∏	ADP
ma-50	645	25	i=1	i=1	PROPN
ma-50	646	1	(	(	PUNCT
ma-50	646	2	1−	1−	NUM
ma-50	646	3	α1n	α1n	PROPN
ma-50	646	4	,	,	PUNCT
ma-50	646	5	i	i	NOUN
ma-50	646	6	)	)	PUNCT
ma-50	647	1	+	+	CCONJ
ma-50	647	2	`	`	PUNCT
ma-50	647	3	2∏	2∏	NUM
ma-50	647	4	i=1	i=1	PROPN
ma-50	647	5	(	(	PUNCT
ma-50	647	6	1−	1−	NUM
ma-50	647	7	α1n	α1n	NOUN
ma-50	647	8	,	,	PUNCT
ma-50	647	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	647	10			PROPN
ma-50	647	11	×	×	NOUN
ma-50	647	12	(	(	PUNCT
ma-50	647	13	α2n,1	α2n,1	NUM
ma-50	647	14	+	+	NOUN
ma-50	647	15	`	`	PUNCT
ma-50	647	16	3∑	3∑	NUM
ma-50	647	17	j=2	j=2	PROPN
ma-50	647	18	α2n	α2n	PROPN
ma-50	647	19	,	,	PUNCT
ma-50	647	20	j(ρ	j(ρ	PROPN
ma-50	647	21	j)2	j)2	VERB
ma-50	647	22	j−1∏	j−1∏	ADP
ma-50	647	23	i=1	i=1	PROPN
ma-50	647	24	(	(	PUNCT
ma-50	647	25	1−	1−	NUM
ma-50	647	26	αn	αn	NOUN
ma-50	647	27	,	,	PUNCT
ma-50	647	28	i	i	PRON
ma-50	647	29	)	)	PUNCT
ma-50	648	1	+	+	CCONJ
ma-50	648	2	`	`	PUNCT
ma-50	648	3	3∏	3∏	NUM
ma-50	648	4	i=1	i=1	X
ma-50	648	5	(	(	PUNCT
ma-50	648	6	1−	1−	NUM
ma-50	648	7	α2n	α2n	PROPN
ma-50	648	8	,	,	PUNCT
ma-50	648	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	648	10	)	)	PUNCT
ma-50	648	11	×	×	NOUN
ma-50	648	12	(	(	PUNCT
ma-50	648	13	α3n,1	α3n,1	NUM
ma-50	648	14	+	+	CCONJ
ma-50	648	15	`	`	PUNCT
ma-50	648	16	4∑	4∑	NUM
ma-50	648	17	j=2	j=2	PROPN
ma-50	648	18	α3n	α3n	PROPN
ma-50	648	19	,	,	PUNCT
ma-50	648	20	j(ρ	j(ρ	PROPN
ma-50	648	21	j)2	j)2	VERB
ma-50	648	22	j−1∏	j−1∏	ADP
ma-50	648	23	i=1	i=1	PROPN
ma-50	648	24	(	(	PUNCT
ma-50	648	25	1−	1−	NUM
ma-50	648	26	α3n	α3n	PROPN
ma-50	648	27	,	,	PUNCT
ma-50	648	28	i	i	NOUN
ma-50	648	29	)	)	PUNCT
ma-50	649	1	+	+	CCONJ
ma-50	649	2	`	`	PUNCT
ma-50	649	3	4∏	4∏	NUM
ma-50	650	1	i=1	i=1	X
ma-50	650	2	(	(	PUNCT
ma-50	650	3	1−	1−	NUM
ma-50	650	4	α3n	α3n	PROPN
ma-50	650	5	,	,	PUNCT
ma-50	650	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	650	7	)	)	PUNCT
ma-50	650	8	×	×	NOUN
ma-50	650	9	(	(	PUNCT
ma-50	650	10	α4n,1	α4n,1	NOUN
ma-50	650	11	+	+	NUM
ma-50	650	12	`	`	PUNCT
ma-50	650	13	5∑	5∑	PROPN
ma-50	650	14	j=2	j=2	PROPN
ma-50	650	15	α4n	α4n	PROPN
ma-50	650	16	,	,	PUNCT
ma-50	650	17	j(ρ	j(ρ	PROPN
ma-50	650	18	j)2	j)2	VERB
ma-50	650	19	j−1∏	j−1∏	ADP
ma-50	650	20	i=1	i=1	PROPN
ma-50	650	21	(	(	PUNCT
ma-50	650	22	1−	1−	NUM
ma-50	650	23	α4n	α4n	NUM
ma-50	650	24	,	,	PUNCT
ma-50	650	25	i	i	NOUN
ma-50	650	26	)	)	PUNCT
ma-50	651	1	+	+	CCONJ
ma-50	651	2	`	`	PUNCT
ma-50	651	3	5∏	5∏	NUM
ma-50	651	4	i=1	i=1	X
ma-50	651	5	(	(	PUNCT
ma-50	651	6	1−	1−	NUM
ma-50	651	7	α4n	α4n	NUM
ma-50	651	8	,	,	PUNCT
ma-50	651	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	651	10	)	)	PUNCT
ma-50	651	11	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	651	12	eur	eur	NOUN
ma-50	651	13	.	.	PUNCT
ma-50	652	1	j.	j.	PROPN
ma-50	652	2	math	math	PROPN
ma-50	652	3	.	.	PUNCT
ma-50	653	1	anal	anal	PROPN
ma-50	653	2	.	.	PUNCT
ma-50	654	1	10.28924	10.28924	NUM
ma-50	654	2	/	/	SYM
ma-50	654	3	ada	ada	PROPN
ma-50	654	4	/	/	SYM
ma-50	654	5	ma.2.1	ma.2.1	PROPN
ma-50	654	6	24	24	NUM
ma-50	654	7	×	×	NOUN
ma-50	654	8	·	·	PUNCT
ma-50	654	9	·	·	PUNCT
ma-50	654	10	·	·	PUNCT
ma-50	655	1	×	×	NOUN
ma-50	655	2	(	(	PUNCT
ma-50	655	3	α	α	NOUN
ma-50	655	4	`	`	PUNCT
ma-50	655	5	s−2	s−2	PROPN
ma-50	655	6	n,1	n,1	NOUN
ma-50	655	7	+	+	CCONJ
ma-50	655	8	`	`	PUNCT
ma-50	655	9	s−1∑	s−1∑	NUM
ma-50	655	10	j=2	j=2	PROPN
ma-50	655	11	α	α	NOUN
ma-50	655	12	`	`	PUNCT
ma-50	655	13	s−2	s−2	PROPN
ma-50	655	14	n	n	PART
ma-50	655	15	,	,	PUNCT
ma-50	655	16	j	j	PROPN
ma-50	655	17	(	(	PUNCT
ma-50	655	18	ρj)2	ρj)2	PROPN
ma-50	655	19	j−1∏	j−1∏	PROPN
ma-50	655	20	i=1	i=1	PROPN
ma-50	656	1	(	(	PUNCT
ma-50	656	2	1−	1−	NUM
ma-50	656	3	α`s−2n	α`s−2n	NUM
ma-50	656	4	,	,	PUNCT
ma-50	656	5	i	i	PRON
ma-50	656	6	)	)	PUNCT
ma-50	657	1	+	+	CCONJ
ma-50	657	2	`	`	PUNCT
ma-50	657	3	s−1∏	s−1∏	PROPN
ma-50	657	4	i=1	i=1	PROPN
ma-50	657	5	(	(	PUNCT
ma-50	657	6	1−	1−	NUM
ma-50	657	7	α`s−2n	α`s−2n	NUM
ma-50	657	8	,	,	PUNCT
ma-50	657	9	i	i	PRON
ma-50	657	10	)	)	PUNCT
ma-50	657	11	(	(	PUNCT
ma-50	657	12	ρj)2	ρj)2	PROPN
ma-50	657	13	)	)	PUNCT
ma-50	657	14	×	×	NOUN
ma-50	657	15	(	(	PUNCT
ma-50	657	16	α	α	NOUN
ma-50	657	17	`	`	PUNCT
ma-50	657	18	s−1	s−1	PROPN
ma-50	657	19	n,1	n,1	NOUN
ma-50	657	20	+	+	NOUN
ma-50	657	21	`	`	PUNCT
ma-50	657	22	s∑	s∑	PROPN
ma-50	657	23	j=2	j=2	PROPN
ma-50	657	24	α	α	NOUN
ma-50	657	25	`	`	PUNCT
ma-50	657	26	s−1	s−1	PROPN
ma-50	657	27	n	n	CCONJ
ma-50	657	28	,	,	PUNCT
ma-50	657	29	j	j	PROPN
ma-50	657	30	(	(	PUNCT
ma-50	657	31	ρj)2	ρj)2	PROPN
ma-50	658	1	j−1∏	j−1∏	PROPN
ma-50	658	2	i=1	i=1	PROPN
ma-50	659	1	(	(	PUNCT
ma-50	659	2	1−	1−	NUM
ma-50	659	3	α`s−1n	α`s−1n	NUM
ma-50	659	4	,	,	PUNCT
ma-50	659	5	i	i	PRON
ma-50	659	6	)	)	PUNCT
ma-50	660	1	+	+	CCONJ
ma-50	660	2	`	`	PUNCT
ma-50	660	3	s∏	s∏	PROPN
ma-50	660	4	i=1	i=1	X
ma-50	660	5	(	(	PUNCT
ma-50	660	6	1−	1−	NUM
ma-50	660	7	α`s−1n	α`s−1n	NUM
ma-50	660	8	,	,	PUNCT
ma-50	660	9	i	i	PRON
ma-50	660	10	)	)	PUNCT
ma-50	660	11	(	(	PUNCT
ma-50	660	12	ρj)2	ρj)2	PROPN
ma-50	660	13	)	)	PUNCT
ma-50	660	14	×‖tn	×‖tn	X
ma-50	660	15	−	−	NOUN
ma-50	661	1	q‖2	q‖2	PROPN
ma-50	661	2	(	(	PUNCT
ma-50	661	3	4.6	4.6	NUM
ma-50	661	4	)	)	PUNCT
ma-50	661	5	(	(	PUNCT
ma-50	661	6	4.5	4.5	NUM
ma-50	661	7	)	)	PUNCT
ma-50	661	8	and	and	CCONJ
ma-50	661	9	(	(	PUNCT
ma-50	661	10	4.6)imply	4.6)imply	NUM
ma-50	661	11	that	that	DET
ma-50	661	12	‖tn+1	‖tn+1	NOUN
ma-50	662	1	−	−	PROPN
ma-50	662	2	q‖2	q‖2	VERB
ma-50	662	3	≤	≤	NUM
ma-50	662	4	(	(	PUNCT
ma-50	662	5	δn,1	δn,1	NOUN
ma-50	662	6	+	+	NOUN
ma-50	662	7	`	`	PUNCT
ma-50	662	8	1∑	1∑	NUM
ma-50	662	9	j=2	j=2	PROPN
ma-50	662	10	δn	δn	NOUN
ma-50	662	11	,	,	PUNCT
ma-50	662	12	j(ρ	j(ρ	PROPN
ma-50	662	13	j)2	j)2	VERB
ma-50	663	1	j−1∏	j−1∏	ADP
ma-50	663	2	i=1	i=1	PROPN
ma-50	664	1	(	(	PUNCT
ma-50	664	2	1−	1−	NUM
ma-50	664	3	δn	δn	NOUN
ma-50	664	4	,	,	PUNCT
ma-50	664	5	i	i	NOUN
ma-50	664	6	)	)	PUNCT
ma-50	665	1	+	+	CCONJ
ma-50	665	2	`	`	PUNCT
ma-50	665	3	1∏	1∏	NUM
ma-50	665	4	i=1	i=1	X
ma-50	665	5	(	(	PUNCT
ma-50	665	6	1−	1−	NUM
ma-50	665	7	δn	δn	NOUN
ma-50	665	8	,	,	PUNCT
ma-50	665	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	665	10	)	)	PUNCT
ma-50	665	11	×	×	NOUN
ma-50	665	12	α1n,1	α1n,1	PROPN
ma-50	665	13	+	+	CCONJ
ma-50	665	14	`	`	PUNCT
ma-50	665	15	2∑	2∑	NUM
ma-50	665	16	j=2	j=2	PROPN
ma-50	665	17	α1n	α1n	PROPN
ma-50	665	18	,	,	PUNCT
ma-50	665	19	j(ρ	j(ρ	PROPN
ma-50	665	20	j)2	j)2	VERB
ma-50	665	21	j−1∏	j−1∏	ADP
ma-50	665	22	i=1	i=1	PROPN
ma-50	665	23	(	(	PUNCT
ma-50	665	24	1−	1−	NUM
ma-50	665	25	α1n	α1n	PROPN
ma-50	665	26	,	,	PUNCT
ma-50	665	27	i	i	NOUN
ma-50	665	28	)	)	PUNCT
ma-50	666	1	+	+	CCONJ
ma-50	666	2	`	`	PUNCT
ma-50	666	3	2∏	2∏	NUM
ma-50	666	4	i=1	i=1	PROPN
ma-50	666	5	(	(	PUNCT
ma-50	666	6	1−	1−	NUM
ma-50	666	7	α1n	α1n	NOUN
ma-50	666	8	,	,	PUNCT
ma-50	666	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	666	10			PROPN
ma-50	666	11	×	×	NOUN
ma-50	666	12	(	(	PUNCT
ma-50	666	13	α2n,1	α2n,1	NUM
ma-50	666	14	+	+	NOUN
ma-50	666	15	`	`	PUNCT
ma-50	666	16	3∑	3∑	NUM
ma-50	666	17	j=2	j=2	PROPN
ma-50	666	18	α2n	α2n	PROPN
ma-50	666	19	,	,	PUNCT
ma-50	666	20	j(ρ	j(ρ	PROPN
ma-50	666	21	j)2	j)2	VERB
ma-50	666	22	j−1∏	j−1∏	ADP
ma-50	666	23	i=1	i=1	PROPN
ma-50	666	24	(	(	PUNCT
ma-50	666	25	1−	1−	NUM
ma-50	666	26	αn	αn	NOUN
ma-50	666	27	,	,	PUNCT
ma-50	666	28	i	i	PRON
ma-50	666	29	)	)	PUNCT
ma-50	667	1	+	+	CCONJ
ma-50	667	2	`	`	PUNCT
ma-50	667	3	3∏	3∏	NUM
ma-50	667	4	i=1	i=1	X
ma-50	667	5	(	(	PUNCT
ma-50	667	6	1−	1−	NUM
ma-50	667	7	α2n	α2n	PROPN
ma-50	667	8	,	,	PUNCT
ma-50	667	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	667	10	)	)	PUNCT
ma-50	667	11	×	×	NOUN
ma-50	667	12	(	(	PUNCT
ma-50	667	13	α3n,1	α3n,1	NUM
ma-50	667	14	+	+	CCONJ
ma-50	667	15	`	`	PUNCT
ma-50	667	16	4∑	4∑	NUM
ma-50	667	17	j=2	j=2	PROPN
ma-50	667	18	α3n	α3n	PROPN
ma-50	667	19	,	,	PUNCT
ma-50	667	20	j(ρ	j(ρ	PROPN
ma-50	667	21	j)2	j)2	VERB
ma-50	667	22	j−1∏	j−1∏	ADP
ma-50	667	23	i=1	i=1	PROPN
ma-50	667	24	(	(	PUNCT
ma-50	667	25	1−	1−	NUM
ma-50	667	26	α3n	α3n	PROPN
ma-50	667	27	,	,	PUNCT
ma-50	667	28	i	i	NOUN
ma-50	667	29	)	)	PUNCT
ma-50	668	1	+	+	CCONJ
ma-50	668	2	`	`	PUNCT
ma-50	668	3	4∏	4∏	NUM
ma-50	669	1	i=1	i=1	X
ma-50	669	2	(	(	PUNCT
ma-50	669	3	1−	1−	NUM
ma-50	669	4	α3n	α3n	PROPN
ma-50	669	5	,	,	PUNCT
ma-50	669	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	669	7	)	)	PUNCT
ma-50	669	8	×	×	NOUN
ma-50	669	9	(	(	PUNCT
ma-50	669	10	α4n,1	α4n,1	NOUN
ma-50	669	11	+	+	NUM
ma-50	669	12	`	`	PUNCT
ma-50	669	13	5∑	5∑	PROPN
ma-50	669	14	j=2	j=2	PROPN
ma-50	669	15	α4n	α4n	PROPN
ma-50	669	16	,	,	PUNCT
ma-50	669	17	j(ρ	j(ρ	PROPN
ma-50	669	18	j)2	j)2	VERB
ma-50	669	19	j−1∏	j−1∏	ADP
ma-50	669	20	i=1	i=1	PROPN
ma-50	669	21	(	(	PUNCT
ma-50	669	22	1−	1−	NUM
ma-50	669	23	α4n	α4n	NUM
ma-50	669	24	,	,	PUNCT
ma-50	669	25	i	i	NOUN
ma-50	669	26	)	)	PUNCT
ma-50	670	1	+	+	CCONJ
ma-50	670	2	`	`	PUNCT
ma-50	670	3	5∏	5∏	NUM
ma-50	670	4	i=1	i=1	X
ma-50	670	5	(	(	PUNCT
ma-50	670	6	1−	1−	NUM
ma-50	670	7	α4n	α4n	NUM
ma-50	670	8	,	,	PUNCT
ma-50	670	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	670	10	)	)	PUNCT
ma-50	670	11	×	×	NOUN
ma-50	670	12	·	·	PUNCT
ma-50	670	13	·	·	PUNCT
ma-50	670	14	·	·	PUNCT
ma-50	670	15	×	×	NOUN
ma-50	670	16	(	(	PUNCT
ma-50	670	17	α	α	NOUN
ma-50	670	18	`	`	PUNCT
ma-50	670	19	s−2	s−2	PROPN
ma-50	670	20	n,1	n,1	NOUN
ma-50	670	21	+	+	CCONJ
ma-50	670	22	`	`	PUNCT
ma-50	670	23	s−1∑	s−1∑	NUM
ma-50	670	24	j=2	j=2	PROPN
ma-50	670	25	α	α	NOUN
ma-50	670	26	`	`	PUNCT
ma-50	670	27	s−2	s−2	PROPN
ma-50	670	28	n	n	PART
ma-50	670	29	,	,	PUNCT
ma-50	670	30	j	j	PROPN
ma-50	670	31	(	(	PUNCT
ma-50	670	32	ρj)2	ρj)2	PROPN
ma-50	670	33	j−1∏	j−1∏	PROPN
ma-50	670	34	i=1	i=1	PROPN
ma-50	671	1	(	(	PUNCT
ma-50	671	2	1−	1−	NUM
ma-50	671	3	α`s−2n	α`s−2n	NUM
ma-50	671	4	,	,	PUNCT
ma-50	671	5	i	i	PRON
ma-50	671	6	)	)	PUNCT
ma-50	672	1	+	+	CCONJ
ma-50	672	2	`	`	PUNCT
ma-50	672	3	s−1∏	s−1∏	PROPN
ma-50	672	4	i=1	i=1	PROPN
ma-50	672	5	(	(	PUNCT
ma-50	672	6	1−	1−	NUM
ma-50	672	7	α`s−2n	α`s−2n	NUM
ma-50	672	8	,	,	PUNCT
ma-50	672	9	i	i	PRON
ma-50	672	10	)	)	PUNCT
ma-50	672	11	(	(	PUNCT
ma-50	672	12	ρj)2	ρj)2	PROPN
ma-50	672	13	)	)	PUNCT
ma-50	672	14	×	×	NOUN
ma-50	672	15	(	(	PUNCT
ma-50	672	16	α	α	NOUN
ma-50	672	17	`	`	PUNCT
ma-50	672	18	s−1	s−1	PROPN
ma-50	672	19	n,1	n,1	NOUN
ma-50	672	20	+	+	NOUN
ma-50	672	21	`	`	PUNCT
ma-50	672	22	s∑	s∑	PROPN
ma-50	672	23	j=2	j=2	PROPN
ma-50	672	24	α	α	NOUN
ma-50	672	25	`	`	PUNCT
ma-50	672	26	s−1	s−1	PROPN
ma-50	672	27	n	n	CCONJ
ma-50	672	28	,	,	PUNCT
ma-50	672	29	j	j	PROPN
ma-50	672	30	(	(	PUNCT
ma-50	672	31	ρj)2	ρj)2	PROPN
ma-50	673	1	j−1∏	j−1∏	PROPN
ma-50	673	2	i=1	i=1	PROPN
ma-50	674	1	(	(	PUNCT
ma-50	674	2	1−	1−	NUM
ma-50	674	3	α`s−1n	α`s−1n	NUM
ma-50	674	4	,	,	PUNCT
ma-50	674	5	i	i	PRON
ma-50	674	6	)	)	PUNCT
ma-50	675	1	+	+	CCONJ
ma-50	675	2	`	`	PUNCT
ma-50	675	3	s∏	s∏	PROPN
ma-50	675	4	i=1	i=1	X
ma-50	675	5	(	(	PUNCT
ma-50	675	6	1−	1−	NUM
ma-50	675	7	α`s−1n	α`s−1n	NUM
ma-50	675	8	,	,	PUNCT
ma-50	675	9	i	i	PRON
ma-50	675	10	)	)	PUNCT
ma-50	675	11	(	(	PUNCT
ma-50	675	12	ρj)2	ρj)2	PROPN
ma-50	675	13	)	)	PUNCT
ma-50	675	14	×‖tn	×‖tn	X
ma-50	675	15	−	−	NOUN
ma-50	675	16	q‖2	q‖2	VERB
ma-50	675	17	+	+	CCONJ
ma-50	675	18	εn	εn	ADJ
ma-50	675	19	(	(	PUNCT
ma-50	675	20	4.7	4.7	NUM
ma-50	675	21	)	)	PUNCT
ma-50	675	22	note	note	NOUN
ma-50	675	23	that	that	SCONJ
ma-50	675	24	(	(	PUNCT
ma-50	675	25	4.7	4.7	NUM
ma-50	675	26	)	)	PUNCT
ma-50	675	27	is	be	AUX
ma-50	675	28	valid	valid	ADJ
ma-50	675	29	since	since	SCONJ
ma-50	675	30	γq	γq	ADP
ma-50	675	31	=	=	PUNCT
ma-50	675	32	q	q	X
ma-50	675	33	and	and	CCONJ
ma-50	675	34	φ(0	φ(0	ADJ
ma-50	675	35	)	)	PUNCT
ma-50	675	36	=	=	SYM
ma-50	676	1	0.now	0.now	NOUN
ma-50	676	2	,	,	PUNCT
ma-50	676	3	since	since	SCONJ
ma-50	676	4	ρj	ρj	PROPN
ma-50	676	5	∈	∈	PROPN
ma-50	677	1	[	[	X
ma-50	677	2	0	0	NUM
ma-50	677	3	,	,	PUNCT
ma-50	677	4	1	1	NUM
ma-50	677	5	]	]	PUNCT
ma-50	677	6	,	,	PUNCT
ma-50	677	7	we	we	PRON
ma-50	677	8	obtain	obtain	AUX
ma-50	677	9	using	use	VERB
ma-50	677	10	proposition	proposition	NOUN
ma-50	677	11	2.3	2.3	NUM
ma-50	677	12	,	,	PUNCT
ma-50	677	13	for	for	ADP
ma-50	677	14	j	j	PROPN
ma-50	677	15	=	=	SYM
ma-50	677	16	1	1	NUM
ma-50	677	17	,	,	PUNCT
ma-50	677	18	2	2	NUM
ma-50	677	19	,	,	PUNCT
ma-50	677	20	3	3	NUM
ma-50	677	21	,	,	PUNCT
ma-50	677	22	·	·	PUNCT
ma-50	677	23	·	·	PUNCT
ma-50	677	24	·	·	PUNCT
ma-50	677	25	,	,	PUNCT
ma-50	677	26	s	s	VERB
ma-50	677	27	−	−	PROPN
ma-50	677	28	1	1	NUM
ma-50	677	29	,	,	PUNCT
ma-50	677	30	that	that	SCONJ
ma-50	677	31	τn	τn	ADP
ma-50	677	32	<	<	X
ma-50	677	33	ηn	ηn	PROPN
ma-50	677	34	=	=	SYM
ma-50	677	35	1	1	NUM
ma-50	677	36	,	,	PUNCT
ma-50	677	37	(	(	PUNCT
ma-50	677	38	4.8	4.8	NUM
ma-50	677	39	)	)	PUNCT
ma-50	677	40	where	where	SCONJ
ma-50	677	41	τn	τn	ADP
ma-50	677	42	=	=	SYM
ma-50	677	43	(	(	PUNCT
ma-50	677	44	α3n,1	α3n,1	NUM
ma-50	677	45	+	+	CCONJ
ma-50	677	46	`	`	PUNCT
ma-50	677	47	4∑	4∑	NUM
ma-50	677	48	j=2	j=2	PROPN
ma-50	677	49	α3n	α3n	PROPN
ma-50	677	50	,	,	PUNCT
ma-50	677	51	j(ρ	j(ρ	PROPN
ma-50	677	52	j)2	j)2	VERB
ma-50	677	53	j−1∏	j−1∏	ADP
ma-50	677	54	i=1	i=1	PROPN
ma-50	677	55	(	(	PUNCT
ma-50	677	56	1−	1−	NUM
ma-50	677	57	α3n	α3n	PROPN
ma-50	677	58	,	,	PUNCT
ma-50	677	59	i	i	NOUN
ma-50	677	60	)	)	PUNCT
ma-50	678	1	+	+	CCONJ
ma-50	678	2	`	`	PUNCT
ma-50	678	3	4∏	4∏	NUM
ma-50	679	1	i=1	i=1	X
ma-50	679	2	(	(	PUNCT
ma-50	679	3	1−	1−	NUM
ma-50	679	4	α3n	α3n	PROPN
ma-50	679	5	,	,	PUNCT
ma-50	679	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	679	7	)	)	PUNCT
ma-50	679	8	×	×	NOUN
ma-50	679	9	(	(	PUNCT
ma-50	679	10	α4n,1	α4n,1	NOUN
ma-50	679	11	+	+	NUM
ma-50	679	12	`	`	PUNCT
ma-50	679	13	5∑	5∑	PROPN
ma-50	679	14	j=2	j=2	PROPN
ma-50	679	15	α4n	α4n	PROPN
ma-50	679	16	,	,	PUNCT
ma-50	679	17	j(ρ	j(ρ	PROPN
ma-50	679	18	j)2	j)2	VERB
ma-50	679	19	j−1∏	j−1∏	ADP
ma-50	679	20	i=1	i=1	PROPN
ma-50	679	21	(	(	PUNCT
ma-50	679	22	1−	1−	NUM
ma-50	679	23	α4n	α4n	NUM
ma-50	679	24	,	,	PUNCT
ma-50	679	25	i	i	NOUN
ma-50	679	26	)	)	PUNCT
ma-50	680	1	+	+	CCONJ
ma-50	680	2	`	`	PUNCT
ma-50	680	3	5∏	5∏	NUM
ma-50	680	4	i=1	i=1	X
ma-50	680	5	(	(	PUNCT
ma-50	680	6	1−	1−	NUM
ma-50	680	7	α4n	α4n	NUM
ma-50	680	8	,	,	PUNCT
ma-50	680	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	680	10	)	)	PUNCT
ma-50	680	11	×	×	NOUN
ma-50	680	12	·	·	PUNCT
ma-50	680	13	·	·	PUNCT
ma-50	680	14	·	·	PUNCT
ma-50	680	15	×	×	NOUN
ma-50	680	16	(	(	PUNCT
ma-50	680	17	α	α	NOUN
ma-50	680	18	`	`	PUNCT
ma-50	680	19	s−2	s−2	PROPN
ma-50	680	20	n,1	n,1	NOUN
ma-50	680	21	+	+	CCONJ
ma-50	680	22	`	`	PUNCT
ma-50	680	23	s−1∑	s−1∑	NUM
ma-50	680	24	j=2	j=2	PROPN
ma-50	680	25	α	α	NOUN
ma-50	680	26	`	`	PUNCT
ma-50	680	27	s−2	s−2	PROPN
ma-50	680	28	n	n	PART
ma-50	680	29	,	,	PUNCT
ma-50	680	30	j	j	PROPN
ma-50	680	31	(	(	PUNCT
ma-50	680	32	ρj)2	ρj)2	PROPN
ma-50	680	33	j−1∏	j−1∏	PROPN
ma-50	680	34	i=1	i=1	PROPN
ma-50	681	1	(	(	PUNCT
ma-50	681	2	1−	1−	NUM
ma-50	681	3	α`s−2n	α`s−2n	NUM
ma-50	681	4	,	,	PUNCT
ma-50	681	5	i	i	PRON
ma-50	681	6	)	)	PUNCT
ma-50	682	1	+	+	CCONJ
ma-50	682	2	`	`	PUNCT
ma-50	682	3	s−1∏	s−1∏	PROPN
ma-50	682	4	i=1	i=1	PROPN
ma-50	682	5	(	(	PUNCT
ma-50	682	6	1−	1−	NUM
ma-50	682	7	α`s−2n	α`s−2n	NUM
ma-50	682	8	,	,	PUNCT
ma-50	682	9	i	i	PRON
ma-50	682	10	)	)	PUNCT
ma-50	682	11	(	(	PUNCT
ma-50	682	12	ρj)2	ρj)2	PROPN
ma-50	682	13	)	)	PUNCT
ma-50	682	14	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	682	15	eur	eur	NOUN
ma-50	682	16	.	.	PUNCT
ma-50	683	1	j.	j.	PROPN
ma-50	683	2	math	math	PROPN
ma-50	683	3	.	.	PUNCT
ma-50	684	1	anal	anal	PROPN
ma-50	684	2	.	.	PUNCT
ma-50	685	1	10.28924	10.28924	NUM
ma-50	685	2	/	/	SYM
ma-50	685	3	ada	ada	PROPN
ma-50	685	4	/	/	SYM
ma-50	685	5	ma.2.1	ma.2.1	PROPN
ma-50	685	6	25	25	NUM
ma-50	685	7	×	×	NOUN
ma-50	685	8	(	(	PUNCT
ma-50	685	9	α	α	NOUN
ma-50	685	10	`	`	PUNCT
ma-50	685	11	s−1	s−1	PROPN
ma-50	685	12	n,1	n,1	NOUN
ma-50	685	13	+	+	NOUN
ma-50	685	14	`	`	PUNCT
ma-50	685	15	s∑	s∑	PROPN
ma-50	685	16	j=2	j=2	PROPN
ma-50	685	17	α	α	NOUN
ma-50	685	18	`	`	PUNCT
ma-50	685	19	s−1	s−1	PROPN
ma-50	685	20	n	n	CCONJ
ma-50	685	21	,	,	PUNCT
ma-50	685	22	j	j	PROPN
ma-50	685	23	(	(	PUNCT
ma-50	685	24	ρj)2	ρj)2	PROPN
ma-50	686	1	j−1∏	j−1∏	PROPN
ma-50	686	2	i=1	i=1	PROPN
ma-50	687	1	(	(	PUNCT
ma-50	687	2	1−	1−	NUM
ma-50	687	3	α`s−1n	α`s−1n	NUM
ma-50	687	4	,	,	PUNCT
ma-50	687	5	i	i	PRON
ma-50	687	6	)	)	PUNCT
ma-50	688	1	+	+	CCONJ
ma-50	688	2	`	`	PUNCT
ma-50	688	3	s∏	s∏	PROPN
ma-50	688	4	i=1	i=1	X
ma-50	688	5	(	(	PUNCT
ma-50	688	6	1−	1−	NUM
ma-50	688	7	α`s−1n	α`s−1n	NUM
ma-50	688	8	,	,	PUNCT
ma-50	688	9	i	i	PRON
ma-50	688	10	)	)	PUNCT
ma-50	688	11	(	(	PUNCT
ma-50	688	12	ρj)2	ρj)2	PROPN
ma-50	688	13	)	)	PUNCT
ma-50	688	14	and	and	CCONJ
ma-50	688	15	ηn	ηn	NOUN
ma-50	688	16	=	=	PUNCT
ma-50	688	17	(	(	PUNCT
ma-50	688	18	α3n,1	α3n,1	NUM
ma-50	688	19	+	+	CCONJ
ma-50	688	20	`	`	PUNCT
ma-50	688	21	4∑	4∑	NUM
ma-50	688	22	j=2	j=2	PROPN
ma-50	688	23	α3n	α3n	PROPN
ma-50	688	24	,	,	PUNCT
ma-50	688	25	j	j	PROPN
ma-50	688	26	j−1∏	j−1∏	PROPN
ma-50	688	27	i=1	i=1	PROPN
ma-50	688	28	(	(	PUNCT
ma-50	688	29	1−	1−	NUM
ma-50	688	30	α3n	α3n	PROPN
ma-50	688	31	,	,	PUNCT
ma-50	688	32	i	i	NOUN
ma-50	688	33	)	)	PUNCT
ma-50	688	34	+	+	CCONJ
ma-50	689	1	`	`	PUNCT
ma-50	689	2	4∏	4∏	NUM
ma-50	689	3	i=1	i=1	X
ma-50	689	4	(	(	PUNCT
ma-50	689	5	1−	1−	NUM
ma-50	689	6	α3n	α3n	PROPN
ma-50	689	7	,	,	PUNCT
ma-50	689	8	i	i	NOUN
ma-50	689	9	)	)	PUNCT
ma-50	689	10	)	)	PUNCT
ma-50	689	11	×	×	NOUN
ma-50	689	12	(	(	PUNCT
ma-50	689	13	α4n,1	α4n,1	NOUN
ma-50	689	14	+	+	NUM
ma-50	689	15	`	`	PUNCT
ma-50	689	16	5∑	5∑	PROPN
ma-50	689	17	j=2	j=2	PROPN
ma-50	689	18	α4n	α4n	PROPN
ma-50	689	19	,	,	PUNCT
ma-50	689	20	j	j	PROPN
ma-50	689	21	j−1∏	j−1∏	PROPN
ma-50	689	22	i=1	i=1	PROPN
ma-50	689	23	(	(	PUNCT
ma-50	689	24	1−	1−	NUM
ma-50	689	25	α4n	α4n	NUM
ma-50	689	26	,	,	PUNCT
ma-50	689	27	i	i	NOUN
ma-50	689	28	)	)	PUNCT
ma-50	690	1	+	+	CCONJ
ma-50	690	2	`	`	PUNCT
ma-50	690	3	5∏	5∏	NUM
ma-50	690	4	i=1	i=1	X
ma-50	690	5	(	(	PUNCT
ma-50	690	6	1−	1−	NUM
ma-50	690	7	α4n	α4n	NUM
ma-50	690	8	,	,	PUNCT
ma-50	690	9	i	i	NOUN
ma-50	690	10	)	)	PUNCT
ma-50	690	11	)	)	PUNCT
ma-50	690	12	×	×	NOUN
ma-50	690	13	·	·	PUNCT
ma-50	690	14	·	·	PUNCT
ma-50	690	15	·	·	PUNCT
ma-50	690	16	×	×	NOUN
ma-50	690	17	(	(	PUNCT
ma-50	690	18	α	α	NOUN
ma-50	690	19	`	`	PUNCT
ma-50	690	20	s−2	s−2	PROPN
ma-50	690	21	n,1	n,1	NOUN
ma-50	690	22	+	+	CCONJ
ma-50	690	23	`	`	PUNCT
ma-50	690	24	s−1∑	s−1∑	NUM
ma-50	690	25	j=2	j=2	PROPN
ma-50	690	26	α	α	NOUN
ma-50	690	27	`	`	PUNCT
ma-50	690	28	s−2	s−2	PROPN
ma-50	690	29	n	n	PART
ma-50	690	30	,	,	PUNCT
ma-50	690	31	j	j	PROPN
ma-50	690	32	j−1∏	j−1∏	PROPN
ma-50	690	33	i=1	i=1	PROPN
ma-50	691	1	(	(	PUNCT
ma-50	691	2	1−	1−	NUM
ma-50	691	3	α`s−2n	α`s−2n	NUM
ma-50	691	4	,	,	PUNCT
ma-50	691	5	i	i	PRON
ma-50	691	6	)	)	PUNCT
ma-50	692	1	+	+	CCONJ
ma-50	692	2	`	`	PUNCT
ma-50	692	3	s−1∏	s−1∏	PROPN
ma-50	692	4	i=1	i=1	PROPN
ma-50	692	5	(	(	PUNCT
ma-50	692	6	1−	1−	NUM
ma-50	692	7	α`s−2n	α`s−2n	NUM
ma-50	692	8	,	,	PUNCT
ma-50	692	9	i	i	NOUN
ma-50	692	10	)	)	PUNCT
ma-50	692	11	)	)	PUNCT
ma-50	692	12	×	×	NOUN
ma-50	692	13	(	(	PUNCT
ma-50	692	14	α	α	NOUN
ma-50	692	15	`	`	PUNCT
ma-50	692	16	s−1	s−1	PROPN
ma-50	692	17	n,1	n,1	NOUN
ma-50	692	18	+	+	NOUN
ma-50	693	1	`	`	PUNCT
ma-50	693	2	s∑	s∑	PROPN
ma-50	693	3	j=2	j=2	PROPN
ma-50	693	4	α	α	NOUN
ma-50	693	5	`	`	PUNCT
ma-50	693	6	s−1	s−1	PROPN
ma-50	693	7	n	n	CCONJ
ma-50	693	8	,	,	PUNCT
ma-50	693	9	j	j	PROPN
ma-50	693	10	j−1∏	j−1∏	PROPN
ma-50	693	11	i=1	i=1	PROPN
ma-50	694	1	(	(	PUNCT
ma-50	694	2	1−	1−	NUM
ma-50	694	3	α`s−1n	α`s−1n	NUM
ma-50	694	4	,	,	PUNCT
ma-50	694	5	i	i	PRON
ma-50	694	6	)	)	PUNCT
ma-50	695	1	+	+	CCONJ
ma-50	695	2	`	`	PUNCT
ma-50	695	3	s∏	s∏	PROPN
ma-50	695	4	i=1	i=1	X
ma-50	695	5	(	(	PUNCT
ma-50	695	6	1−	1−	NUM
ma-50	695	7	α`s−1n	α`s−1n	NUM
ma-50	695	8	,	,	PUNCT
ma-50	695	9	i	i	PRON
ma-50	695	10	)	)	PUNCT
ma-50	695	11	)	)	PUNCT
ma-50	696	1	putting	put	VERB
ma-50	696	2	(	(	PUNCT
ma-50	696	3	4.8	4.8	NUM
ma-50	696	4	)	)	PUNCT
ma-50	696	5	in	in	ADP
ma-50	696	6	(	(	PUNCT
ma-50	696	7	4.7	4.7	NUM
ma-50	696	8	)	)	PUNCT
ma-50	696	9	,	,	PUNCT
ma-50	696	10	we	we	PRON
ma-50	696	11	obtain	obtain	VERB
ma-50	696	12	,	,	PUNCT
ma-50	696	13	using	use	VERB
ma-50	696	14	lemma	lemma	PROPN
ma-50	696	15	2.3	2.3	NUM
ma-50	696	16	that	that	PRON
ma-50	696	17	the	the	DET
ma-50	696	18	sequence	sequence	NOUN
ma-50	696	19	{	{	PUNCT
ma-50	696	20	tn}∞n=0	tn}∞n=0	X
ma-50	696	21	converges	converge	VERB
ma-50	696	22	strongly	strongly	ADV
ma-50	696	23	tothe	tothe	ADJ
ma-50	696	24	point	point	NOUN
ma-50	696	25	q	q	PUNCT
ma-50	696	26	in	in	ADP
ma-50	696	27	f	f	PROPN
ma-50	696	28	(	(	PUNCT
ma-50	696	29	γ).on	γ).on	PROPN
ma-50	696	30	the	the	DET
ma-50	696	31	other	other	ADJ
ma-50	696	32	hand	hand	NOUN
ma-50	696	33	,	,	PUNCT
ma-50	696	34	suppose	suppose	VERB
ma-50	696	35	tn	tn	PROPN
ma-50	696	36	→	→	SYM
ma-50	696	37	q	q	X
ma-50	696	38	as	as	ADP
ma-50	696	39	n	n	PROPN
ma-50	696	40	→	→	SYM
ma-50	696	41	∞.	∞.	PROPN
ma-50	696	42	then	then	ADV
ma-50	696	43	,	,	PUNCT
ma-50	696	44	we	we	PRON
ma-50	696	45	show	show	VERB
ma-50	696	46	that	that	SCONJ
ma-50	696	47	ε	ε	PROPN
ma-50	696	48	→	→	SYM
ma-50	696	49	0	0	PROPN
ma-50	696	50	as	as	SCONJ
ma-50	696	51	n	n	PROPN
ma-50	696	52	→	→	SYM
ma-50	696	53	∞.	∞.	PROPN
ma-50	696	54	indeed	indeed	ADV
ma-50	696	55	,	,	PUNCT
ma-50	696	56	from	from	ADP
ma-50	696	57	(	(	PUNCT
ma-50	696	58	3.5	3.5	NUM
ma-50	696	59	)	)	PUNCT
ma-50	696	60	with	with	ADP
ma-50	696	61	v1n	v1n	NOUN
ma-50	696	62	=	=	SYM
ma-50	696	63	y1n	y1n	PROPN
ma-50	696	64	,	,	PUNCT
ma-50	696	65	(	(	PUNCT
ma-50	696	66	4.2	4.2	NUM
ma-50	696	67	)	)	PUNCT
ma-50	696	68	and	and	CCONJ
ma-50	696	69	proposition	proposition	NOUN
ma-50	696	70	2.4	2.4	NUM
ma-50	696	71	with	with	ADP
ma-50	696	72	u	u	NOUN
ma-50	696	73	=	=	NOUN
ma-50	696	74	q	q	ADJ
ma-50	696	75	,	,	PUNCT
ma-50	696	76	v1n	v1n	PROPN
ma-50	696	77	=	=	SYM
ma-50	696	78	t	t	PROPN
ma-50	696	79	,	,	PUNCT
ma-50	696	80	j	j	X
ma-50	697	1	=	=	PUNCT
ma-50	697	2	i	i	PROPN
ma-50	697	3	,	,	PUNCT
ma-50	697	4	k	k	PROPN
ma-50	697	5	=	=	SYM
ma-50	697	6	1,γj−1v1n	1,γj−1v1n	NUM
ma-50	698	1	=	=	SYM
ma-50	698	2	vj−1and	vj−1and	NUM
ma-50	698	3	γ`1v1n	γ`1v1n	NOUN
ma-50	698	4	=	=	SYM
ma-50	698	5	v	v	ADJ
ma-50	698	6	„	„	PUNCT
ma-50	698	7	we	we	PRON
ma-50	698	8	have	have	VERB
ma-50	698	9	εn	εn	VERB
ma-50	698	10	=	=	NOUN
ma-50	698	11	‖tn+1	‖tn+1	PROPN
ma-50	698	12	−	−	PROPN
ma-50	698	13	δn,1v1n,1	δn,1v1n,1	NOUN
ma-50	699	1	−	−	NOUN
ma-50	699	2	`	`	PUNCT
ma-50	699	3	1∑	1∑	NUM
ma-50	699	4	j=2	j=2	PROPN
ma-50	699	5	δn	δn	PROPN
ma-50	699	6	,	,	PUNCT
ma-50	699	7	j	j	PROPN
ma-50	699	8	j−1∏	j−1∏	PROPN
ma-50	699	9	i=1	i=1	PROPN
ma-50	700	1	(	(	PUNCT
ma-50	700	2	1−	1−	NUM
ma-50	700	3	δn	δn	NOUN
ma-50	700	4	,	,	PUNCT
ma-50	700	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	700	6	−	−	NOUN
ma-50	700	7	`	`	PUNCT
ma-50	700	8	1∏	1∏	NUM
ma-50	700	9	i=1	i=1	PROPN
ma-50	700	10	(	(	PUNCT
ma-50	700	11	1−	1−	NUM
ma-50	700	12	δn	δn	NOUN
ma-50	700	13	,	,	PUNCT
ma-50	700	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	700	15	‖2	‖2	NOUN
ma-50	700	16	=	=	SYM
ma-50	700	17	‖tn+1	‖tn+1	PROPN
ma-50	700	18	−	−	PROPN
ma-50	700	19	q	q	PUNCT
ma-50	700	20	−	−	PROPN
ma-50	700	21	δn,1v1n,1	δn,1v1n,1	NOUN
ma-50	701	1	+	+	CCONJ
ma-50	701	2	`	`	PUNCT
ma-50	701	3	1∑	1∑	NUM
ma-50	701	4	j=2	j=2	PROPN
ma-50	701	5	δn	δn	PROPN
ma-50	701	6	,	,	PUNCT
ma-50	701	7	j	j	PROPN
ma-50	701	8	j−1∏	j−1∏	PROPN
ma-50	701	9	i=1	i=1	PROPN
ma-50	702	1	(	(	PUNCT
ma-50	702	2	1−	1−	NUM
ma-50	702	3	δn	δn	NOUN
ma-50	702	4	,	,	PUNCT
ma-50	702	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	702	6	+	+	CCONJ
ma-50	702	7	`	`	PUNCT
ma-50	702	8	1∏	1∏	NUM
ma-50	702	9	i=1	i=1	X
ma-50	702	10	(	(	PUNCT
ma-50	702	11	1−	1−	NUM
ma-50	702	12	δn	δn	NOUN
ma-50	702	13	,	,	PUNCT
ma-50	702	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	702	15	−	−	NOUN
ma-50	702	16	q	q	PUNCT
ma-50	703	1			PROPN
ma-50	703	2	‖2	‖2	NOUN
ma-50	703	3	≤	≤	NUM
ma-50	703	4	‖tn+1	‖tn+1	PROPN
ma-50	703	5	−	−	PROPN
ma-50	704	1	q‖2	q‖2	PROPN
ma-50	704	2	+	+	CCONJ
ma-50	704	3	‖δn,1v1n,1	‖δn,1v1n,1	NOUN
ma-50	704	4	+	+	CCONJ
ma-50	705	1	`	`	PUNCT
ma-50	705	2	1∑	1∑	NUM
ma-50	705	3	j=2	j=2	PROPN
ma-50	705	4	δn	δn	PROPN
ma-50	705	5	,	,	PUNCT
ma-50	705	6	j	j	PROPN
ma-50	705	7	j−1∏	j−1∏	PROPN
ma-50	705	8	i=1	i=1	PROPN
ma-50	706	1	(	(	PUNCT
ma-50	706	2	1−	1−	NUM
ma-50	706	3	δn	δn	NOUN
ma-50	706	4	,	,	PUNCT
ma-50	706	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	706	6	+	+	CCONJ
ma-50	706	7	`	`	PUNCT
ma-50	706	8	1∏	1∏	NUM
ma-50	706	9	i=1	i=1	X
ma-50	706	10	(	(	PUNCT
ma-50	706	11	1−	1−	NUM
ma-50	706	12	δn	δn	NOUN
ma-50	706	13	,	,	PUNCT
ma-50	706	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	706	15	−	−	PROPN
ma-50	706	16	q‖2	q‖2	VERB
ma-50	706	17	≤	≤	NUM
ma-50	706	18	‖tn+1	‖tn+1	PROPN
ma-50	706	19	−	−	PROPN
ma-50	706	20	q‖2	q‖2	PROPN
ma-50	706	21	+	+	NUM
ma-50	706	22	δn,1‖v1n,1	δn,1‖v1n,1	NOUN
ma-50	706	23	−	−	PROPN
ma-50	706	24	q‖2	q‖2	VERB
ma-50	707	1	+	+	CCONJ
ma-50	707	2	`	`	PUNCT
ma-50	707	3	1∑	1∑	NUM
ma-50	707	4	j=2	j=2	PROPN
ma-50	707	5	δn	δn	PROPN
ma-50	707	6	,	,	PUNCT
ma-50	707	7	j	j	PROPN
ma-50	708	1	j−1∏	j−1∏	PROPN
ma-50	708	2	i=1	i=1	PROPN
ma-50	709	1	(	(	PUNCT
ma-50	709	2	1−	1−	NUM
ma-50	709	3	δn	δn	NOUN
ma-50	709	4	,	,	PUNCT
ma-50	709	5	i)‖γj−1v1n	i)‖γj−1v1n	NUM
ma-50	709	6	−	−	PROPN
ma-50	710	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	710	2	+	+	CCONJ
ma-50	710	3	`	`	PUNCT
ma-50	710	4	1∏	1∏	NUM
ma-50	710	5	i=1	i=1	X
ma-50	710	6	(	(	PUNCT
ma-50	710	7	1−	1−	NUM
ma-50	710	8	δn	δn	NOUN
ma-50	710	9	,	,	PUNCT
ma-50	710	10	i)‖γ`1v1n	i)‖γ`1v1n	PROPN
ma-50	710	11	−	−	PROPN
ma-50	710	12	γ`1q‖2	γ`1q‖2	PUNCT
ma-50	710	13	≤	≤	PROPN
ma-50	710	14	‖tn+1	‖tn+1	PROPN
ma-50	710	15	−	−	PROPN
ma-50	710	16	q‖2	q‖2	PROPN
ma-50	710	17	+	+	NUM
ma-50	710	18	δn,1‖v1n,1	δn,1‖v1n,1	NOUN
ma-50	710	19	−	−	PROPN
ma-50	710	20	q‖2	q‖2	VERB
ma-50	710	21	+	+	CCONJ
ma-50	710	22	`	`	PUNCT
ma-50	710	23	1∑	1∑	NUM
ma-50	710	24	j=2	j=2	PROPN
ma-50	710	25	δn	δn	PROPN
ma-50	710	26	,	,	PUNCT
ma-50	710	27	j	j	PROPN
ma-50	710	28	j−1∏	j−1∏	PROPN
ma-50	710	29	i=1	i=1	PROPN
ma-50	711	1	(	(	PUNCT
ma-50	711	2	1−	1−	NUM
ma-50	711	3	δn	δn	NOUN
ma-50	711	4	,	,	PUNCT
ma-50	711	5	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	711	6	−	−	PROPN
ma-50	711	7	q‖2	q‖2	VERB
ma-50	711	8	+	+	CCONJ
ma-50	711	9	`	`	PUNCT
ma-50	711	10	1∏	1∏	NUM
ma-50	711	11	i=1	i=1	PROPN
ma-50	711	12	(	(	PUNCT
ma-50	711	13	1−	1−	NUM
ma-50	711	14	δn	δn	NOUN
ma-50	711	15	,	,	PUNCT
ma-50	711	16	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	711	17	−	−	PROPN
ma-50	711	18	q‖2	q‖2	VERB
ma-50	711	19	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	711	20	eur	eur	NOUN
ma-50	711	21	.	.	PUNCT
ma-50	712	1	j.	j.	PROPN
ma-50	712	2	math	math	PROPN
ma-50	712	3	.	.	PUNCT
ma-50	713	1	anal	anal	PROPN
ma-50	713	2	.	.	PUNCT
ma-50	714	1	10.28924	10.28924	NUM
ma-50	714	2	/	/	SYM
ma-50	714	3	ada	ada	PROPN
ma-50	714	4	/	/	SYM
ma-50	714	5	ma.2.1	ma.2.1	PROPN
ma-50	714	6	26	26	NUM
ma-50	714	7	=	=	SYM
ma-50	714	8	‖tn+1	‖tn+1	NOUN
ma-50	714	9	−	−	PROPN
ma-50	714	10	q‖2	q‖2	PROPN
ma-50	714	11	+	+	CCONJ
ma-50	714	12	δn,1	δn,1	NOUN
ma-50	714	13	+	+	CCONJ
ma-50	714	14	`	`	PUNCT
ma-50	714	15	1∑	1∑	NUM
ma-50	714	16	j=2	j=2	PROPN
ma-50	714	17	δn	δn	PROPN
ma-50	714	18	,	,	PUNCT
ma-50	714	19	j	j	PROPN
ma-50	714	20	j−1∏	j−1∏	PROPN
ma-50	714	21	i=1	i=1	PROPN
ma-50	715	1	(	(	PUNCT
ma-50	715	2	1−	1−	NUM
ma-50	715	3	δn	δn	NOUN
ma-50	715	4	,	,	PUNCT
ma-50	715	5	i)(ρj)2	i)(ρj)2	VERB
ma-50	715	6	+	+	CCONJ
ma-50	715	7	`	`	PUNCT
ma-50	715	8	1∏	1∏	NUM
ma-50	715	9	i=1	i=1	X
ma-50	715	10	(	(	PUNCT
ma-50	715	11	1−	1−	NUM
ma-50	715	12	δn	δn	NOUN
ma-50	715	13	,	,	PUNCT
ma-50	715	14	i)(ρj)2	i)(ρj)2	VERB
ma-50	715	15			PROPN
ma-50	715	16	×‖v1n	×‖v1n	PRON
ma-50	715	17	−	−	PROPN
ma-50	715	18	q‖2	q‖2	PROPN
ma-50	715	19	(	(	PUNCT
ma-50	715	20	4.9	4.9	NUM
ma-50	715	21	)	)	PUNCT
ma-50	715	22	putting	put	VERB
ma-50	715	23	(	(	PUNCT
ma-50	715	24	4.6	4.6	NUM
ma-50	715	25	)	)	PUNCT
ma-50	715	26	into	into	ADP
ma-50	715	27	(	(	PUNCT
ma-50	715	28	4.9	4.9	NUM
ma-50	715	29	)	)	PUNCT
ma-50	715	30	,	,	PUNCT
ma-50	715	31	and	and	CCONJ
ma-50	715	32	using	use	VERB
ma-50	715	33	(	(	PUNCT
ma-50	715	34	4.8	4.8	NUM
ma-50	715	35	)	)	PUNCT
ma-50	715	36	,	,	PUNCT
ma-50	715	37	we	we	PRON
ma-50	715	38	get	get	VERB
ma-50	715	39	εn	εn	ADJ
ma-50	715	40	≤	≤	NUM
ma-50	715	41	‖tn+1	‖tn+1	PROPN
ma-50	715	42	−	−	PROPN
ma-50	716	1	q‖2	q‖2	PROPN
ma-50	717	1	+	+	CCONJ
ma-50	718	1	δn,1	δn,1	NOUN
ma-50	718	2	+	+	CCONJ
ma-50	718	3	`	`	PUNCT
ma-50	718	4	1∑	1∑	NUM
ma-50	718	5	j=2	j=2	PROPN
ma-50	718	6	δn	δn	PROPN
ma-50	718	7	,	,	PUNCT
ma-50	718	8	j	j	PROPN
ma-50	718	9	j−1∏	j−1∏	PROPN
ma-50	718	10	i=1	i=1	PROPN
ma-50	719	1	(	(	PUNCT
ma-50	719	2	1−	1−	NUM
ma-50	719	3	δn	δn	NOUN
ma-50	719	4	,	,	PUNCT
ma-50	719	5	i)(ρj)2	i)(ρj)2	VERB
ma-50	719	6	+	+	CCONJ
ma-50	719	7	`	`	PUNCT
ma-50	719	8	1∏	1∏	NUM
ma-50	719	9	i=1	i=1	X
ma-50	719	10	(	(	PUNCT
ma-50	719	11	1−	1−	NUM
ma-50	719	12	δn	δn	NOUN
ma-50	719	13	,	,	PUNCT
ma-50	719	14	i)(ρj)2	i)(ρj)2	VERB
ma-50	719	15			PROPN
ma-50	719	16	×	×	NOUN
ma-50	719	17	α1n,1	α1n,1	NOUN
ma-50	719	18	+	+	CCONJ
ma-50	719	19	`	`	PUNCT
ma-50	719	20	2∑	2∑	NUM
ma-50	719	21	j=2	j=2	PROPN
ma-50	719	22	α1n	α1n	PROPN
ma-50	719	23	,	,	PUNCT
ma-50	719	24	j(ρ	j(ρ	PROPN
ma-50	719	25	j)2	j)2	VERB
ma-50	719	26	j−1∏	j−1∏	ADP
ma-50	719	27	i=1	i=1	PROPN
ma-50	719	28	(	(	PUNCT
ma-50	719	29	1−	1−	NUM
ma-50	719	30	α1n	α1n	PROPN
ma-50	719	31	,	,	PUNCT
ma-50	719	32	i	i	NOUN
ma-50	719	33	)	)	PUNCT
ma-50	720	1	+	+	CCONJ
ma-50	720	2	`	`	PUNCT
ma-50	720	3	2∏	2∏	NUM
ma-50	720	4	i=1	i=1	PROPN
ma-50	720	5	(	(	PUNCT
ma-50	720	6	1−	1−	NUM
ma-50	720	7	α1n	α1n	NOUN
ma-50	720	8	,	,	PUNCT
ma-50	720	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	720	10			PROPN
ma-50	720	11	×	×	NOUN
ma-50	720	12	(	(	PUNCT
ma-50	720	13	α2n,1	α2n,1	NUM
ma-50	720	14	+	+	NOUN
ma-50	720	15	`	`	PUNCT
ma-50	720	16	3∑	3∑	NUM
ma-50	720	17	j=2	j=2	PROPN
ma-50	720	18	α2n	α2n	PROPN
ma-50	720	19	,	,	PUNCT
ma-50	720	20	j(ρ	j(ρ	PROPN
ma-50	720	21	j)2	j)2	VERB
ma-50	720	22	j−1∏	j−1∏	ADP
ma-50	720	23	i=1	i=1	PROPN
ma-50	720	24	(	(	PUNCT
ma-50	720	25	1−	1−	NUM
ma-50	720	26	αn	αn	NOUN
ma-50	720	27	,	,	PUNCT
ma-50	720	28	i	i	PRON
ma-50	720	29	)	)	PUNCT
ma-50	721	1	+	+	CCONJ
ma-50	721	2	`	`	PUNCT
ma-50	721	3	3∏	3∏	NUM
ma-50	721	4	i=1	i=1	X
ma-50	721	5	(	(	PUNCT
ma-50	721	6	1−	1−	NUM
ma-50	721	7	α2n	α2n	PROPN
ma-50	721	8	,	,	PUNCT
ma-50	721	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	721	10	)	)	PUNCT
ma-50	721	11	×	×	NOUN
ma-50	721	12	(	(	PUNCT
ma-50	721	13	α3n,1	α3n,1	NUM
ma-50	721	14	+	+	CCONJ
ma-50	721	15	`	`	PUNCT
ma-50	721	16	4∑	4∑	NUM
ma-50	721	17	j=2	j=2	PROPN
ma-50	721	18	α3n	α3n	PROPN
ma-50	721	19	,	,	PUNCT
ma-50	721	20	j(ρ	j(ρ	PROPN
ma-50	721	21	j)2	j)2	VERB
ma-50	721	22	j−1∏	j−1∏	ADP
ma-50	721	23	i=1	i=1	PROPN
ma-50	721	24	(	(	PUNCT
ma-50	721	25	1−	1−	NUM
ma-50	721	26	α3n	α3n	PROPN
ma-50	721	27	,	,	PUNCT
ma-50	721	28	i	i	NOUN
ma-50	721	29	)	)	PUNCT
ma-50	722	1	+	+	CCONJ
ma-50	722	2	`	`	PUNCT
ma-50	722	3	4∏	4∏	NUM
ma-50	723	1	i=1	i=1	X
ma-50	723	2	(	(	PUNCT
ma-50	723	3	1−	1−	NUM
ma-50	723	4	α3n	α3n	PROPN
ma-50	723	5	,	,	PUNCT
ma-50	723	6	i)(ρj)2	i)(ρj)2	ADJ
ma-50	723	7	)	)	PUNCT
ma-50	723	8	×	×	NOUN
ma-50	723	9	(	(	PUNCT
ma-50	723	10	α4n,1	α4n,1	NOUN
ma-50	723	11	+	+	NUM
ma-50	723	12	`	`	PUNCT
ma-50	723	13	5∑	5∑	PROPN
ma-50	723	14	j=2	j=2	PROPN
ma-50	723	15	α4n	α4n	PROPN
ma-50	723	16	,	,	PUNCT
ma-50	723	17	j(ρ	j(ρ	PROPN
ma-50	723	18	j)2	j)2	VERB
ma-50	723	19	j−1∏	j−1∏	ADP
ma-50	723	20	i=1	i=1	PROPN
ma-50	723	21	(	(	PUNCT
ma-50	723	22	1−	1−	NUM
ma-50	723	23	α4n	α4n	NUM
ma-50	723	24	,	,	PUNCT
ma-50	723	25	i	i	NOUN
ma-50	723	26	)	)	PUNCT
ma-50	724	1	+	+	CCONJ
ma-50	724	2	`	`	PUNCT
ma-50	724	3	5∏	5∏	NUM
ma-50	724	4	i=1	i=1	X
ma-50	724	5	(	(	PUNCT
ma-50	724	6	1−	1−	NUM
ma-50	724	7	α4n	α4n	NUM
ma-50	724	8	,	,	PUNCT
ma-50	724	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	724	10	)	)	PUNCT
ma-50	724	11	×	×	NOUN
ma-50	724	12	·	·	PUNCT
ma-50	724	13	·	·	PUNCT
ma-50	724	14	·	·	PUNCT
ma-50	724	15	×	×	NOUN
ma-50	724	16	(	(	PUNCT
ma-50	724	17	α	α	NOUN
ma-50	724	18	`	`	PUNCT
ma-50	724	19	s−2	s−2	PROPN
ma-50	724	20	n,1	n,1	NOUN
ma-50	724	21	+	+	CCONJ
ma-50	724	22	`	`	PUNCT
ma-50	724	23	s−1∑	s−1∑	NUM
ma-50	724	24	j=2	j=2	PROPN
ma-50	724	25	α	α	NOUN
ma-50	724	26	`	`	PUNCT
ma-50	724	27	s−2	s−2	PROPN
ma-50	724	28	n	n	PART
ma-50	724	29	,	,	PUNCT
ma-50	724	30	j	j	PROPN
ma-50	724	31	(	(	PUNCT
ma-50	724	32	ρj)2	ρj)2	PROPN
ma-50	724	33	j−1∏	j−1∏	PROPN
ma-50	724	34	i=1	i=1	PROPN
ma-50	725	1	(	(	PUNCT
ma-50	725	2	1−	1−	NUM
ma-50	725	3	α`s−2n	α`s−2n	NUM
ma-50	725	4	,	,	PUNCT
ma-50	725	5	i	i	PRON
ma-50	725	6	)	)	PUNCT
ma-50	726	1	+	+	CCONJ
ma-50	726	2	`	`	PUNCT
ma-50	726	3	s−1∏	s−1∏	PROPN
ma-50	726	4	i=1	i=1	PROPN
ma-50	726	5	(	(	PUNCT
ma-50	726	6	1−	1−	NUM
ma-50	726	7	α`s−2n	α`s−2n	NUM
ma-50	726	8	,	,	PUNCT
ma-50	726	9	i	i	PRON
ma-50	726	10	)	)	PUNCT
ma-50	726	11	(	(	PUNCT
ma-50	726	12	ρj)2	ρj)2	PROPN
ma-50	726	13	)	)	PUNCT
ma-50	726	14	×	×	NOUN
ma-50	726	15	(	(	PUNCT
ma-50	726	16	α	α	NOUN
ma-50	726	17	`	`	PUNCT
ma-50	726	18	s−1	s−1	PROPN
ma-50	726	19	n,1	n,1	NOUN
ma-50	726	20	+	+	NOUN
ma-50	726	21	`	`	PUNCT
ma-50	726	22	s∑	s∑	PROPN
ma-50	726	23	j=2	j=2	PROPN
ma-50	726	24	α	α	NOUN
ma-50	726	25	`	`	PUNCT
ma-50	726	26	s−1	s−1	PROPN
ma-50	726	27	n	n	CCONJ
ma-50	726	28	,	,	PUNCT
ma-50	726	29	j	j	PROPN
ma-50	726	30	(	(	PUNCT
ma-50	726	31	ρj)2	ρj)2	PROPN
ma-50	727	1	j−1∏	j−1∏	PROPN
ma-50	727	2	i=1	i=1	PROPN
ma-50	728	1	(	(	PUNCT
ma-50	728	2	1−	1−	NUM
ma-50	728	3	α`s−1n	α`s−1n	NUM
ma-50	728	4	,	,	PUNCT
ma-50	728	5	i	i	PRON
ma-50	728	6	)	)	PUNCT
ma-50	729	1	+	+	CCONJ
ma-50	729	2	`	`	PUNCT
ma-50	729	3	s∏	s∏	PROPN
ma-50	729	4	i=1	i=1	X
ma-50	729	5	(	(	PUNCT
ma-50	729	6	1−	1−	NUM
ma-50	729	7	α`s−1n	α`s−1n	NUM
ma-50	729	8	,	,	PUNCT
ma-50	729	9	i	i	PRON
ma-50	729	10	)	)	PUNCT
ma-50	729	11	(	(	PUNCT
ma-50	729	12	ρj)2	ρj)2	PROPN
ma-50	729	13	)	)	PUNCT
ma-50	729	14	×‖tn	×‖tn	X
ma-50	729	15	−	−	PROPN
ma-50	729	16	q‖2	q‖2	VERB
ma-50	729	17	≤	≤	NUM
ma-50	729	18	‖tn+1	‖tn+1	NOUN
ma-50	729	19	−	−	PROPN
ma-50	729	20	q‖2	q‖2	PROPN
ma-50	729	21	+	+	CCONJ
ma-50	729	22	τn‖tn	τn‖tn	PUNCT
ma-50	730	1	−	−	X
ma-50	730	2	q‖2	q‖2	PROPN
ma-50	730	3	(	(	PUNCT
ma-50	730	4	4.10	4.10	NUM
ma-50	730	5	)	)	PUNCT
ma-50	730	6	thus	thus	ADV
ma-50	730	7	,	,	PUNCT
ma-50	730	8	from	from	ADP
ma-50	730	9	our	our	PRON
ma-50	730	10	assumption	assumption	NOUN
ma-50	730	11	,	,	PUNCT
ma-50	730	12	we	we	PRON
ma-50	730	13	obtain	obtain	VERB
ma-50	730	14	from	from	ADP
ma-50	730	15	(	(	PUNCT
ma-50	730	16	4.10	4.10	NUM
ma-50	730	17	)	)	PUNCT
ma-50	730	18	that	that	PRON
ma-50	730	19	εn	εn	ADJ
ma-50	730	20	→	→	SYM
ma-50	730	21	0	0	NUM
ma-50	730	22	as	as	ADP
ma-50	730	23	n	n	NOUN
ma-50	730	24	→	→	SYM
ma-50	730	25	∞.	∞.	PROPN
ma-50	730	26	hence	hence	ADV
ma-50	730	27	,	,	PUNCT
ma-50	730	28	the	the	DET
ma-50	730	29	multistep	multistep	ADJ
ma-50	730	30	di	di	ADJ
ma-50	730	31	-	-	PUNCT
ma-50	730	32	iteration	iteration	NOUN
ma-50	730	33	scheme	scheme	NOUN
ma-50	730	34	(	(	PUNCT
ma-50	730	35	3.2	3.2	NUM
ma-50	730	36	)	)	PUNCT
ma-50	730	37	is	be	AUX
ma-50	730	38	γ	γ	X
ma-50	730	39	-	-	ADJ
ma-50	730	40	stable	stable	ADJ
ma-50	730	41	.	.	PUNCT
ma-50	731	1	thus	thus	ADV
ma-50	731	2	,	,	PUNCT
ma-50	731	3	tje	tje	VERB
ma-50	731	4	proof	proof	NOUN
ma-50	731	5	is	be	AUX
ma-50	731	6	completed	complete	VERB
ma-50	731	7	.	.	PUNCT
ma-50	732	1	�	�	PROPN
ma-50	732	2	theorem	theorem	VERB
ma-50	732	3	4.2	4.2	NUM
ma-50	732	4	.	.	PUNCT
ma-50	733	1	let	let	VERB
ma-50	733	2	h	h	PRON
ma-50	733	3	be	be	AUX
ma-50	733	4	a	a	DET
ma-50	733	5	hilbert	hilbert	NOUN
ma-50	733	6	space	space	NOUN
ma-50	733	7	,	,	PUNCT
ma-50	733	8	γ	γ	X
ma-50	733	9	:	:	PUNCT
ma-50	733	10	h	h	PROPN
ma-50	733	11	−→	−→	NOUN
ma-50	733	12	h	h	NOUN
ma-50	733	13	be	be	VERB
ma-50	733	14	a	a	DET
ma-50	733	15	self	self	NOUN
ma-50	733	16	-	-	PUNCT
ma-50	733	17	map	map	NOUN
ma-50	733	18	of	of	ADP
ma-50	733	19	h	h	NOUN
ma-50	733	20	satisfying	satisfy	VERB
ma-50	733	21	the	the	DET
ma-50	733	22	contractive	contractive	ADJ
ma-50	733	23	condition	condition	NOUN
ma-50	733	24	‖γjx	‖γjx	NOUN
ma-50	733	25	−	−	PROPN
ma-50	733	26	γjy‖	γjy‖	PUNCT
ma-50	733	27	≤	≤	NUM
ma-50	734	1	ρj‖x	ρj‖x	NUM
ma-50	734	2	−	−	NUM
ma-50	735	1	y‖+	y‖+	INTJ
ma-50	735	2	j∑	j∑	PROPN
ma-50	735	3	i=0	i=0	PROPN
ma-50	735	4	(	(	PUNCT
ma-50	735	5	j	j	NOUN
ma-50	735	6	i	i	PROPN
ma-50	735	7	)	)	PUNCT
ma-50	736	1	ρj−1φ(‖x	ρj−1φ(‖x	PROPN
ma-50	737	1	−	−	PROPN
ma-50	737	2	γx‖	γx‖	PROPN
ma-50	737	3	)	)	PUNCT
ma-50	737	4	,	,	PUNCT
ma-50	737	5	(	(	PUNCT
ma-50	737	6	4.11	4.11	NUM
ma-50	737	7	)	)	PUNCT
ma-50	737	8	where	where	SCONJ
ma-50	737	9	x	x	AUX
ma-50	737	10	,	,	PUNCT
ma-50	737	11	y	y	PROPN
ma-50	737	12	∈	∈	PROPN
ma-50	737	13	h	h	NOUN
ma-50	737	14	,	,	PUNCT
ma-50	737	15	0	0	NUM
ma-50	737	16	≤	≤	NUM
ma-50	737	17	ρj	ρj	CCONJ
ma-50	737	18	<	<	X
ma-50	737	19	1	1	NUM
ma-50	737	20	,	,	PUNCT
ma-50	737	21	and	and	CCONJ
ma-50	737	22	let	let	VERB
ma-50	737	23	φ	φ	PROPN
ma-50	737	24	retains	retain	VERB
ma-50	737	25	its	its	PRON
ma-50	737	26	usual	usual	ADJ
ma-50	737	27	meaning	meaning	NOUN
ma-50	737	28	with	with	ADP
ma-50	737	29	φ(0	φ(0	ADJ
ma-50	737	30	)	)	PUNCT
ma-50	737	31	=	=	SYM
ma-50	737	32	0	0	NUM
ma-50	737	33	and	and	CCONJ
ma-50	737	34	φ(mt	φ(mt	NOUN
ma-50	737	35	)	)	PUNCT
ma-50	737	36	=	=	SYM
ma-50	737	37	mφ(t),m	mφ(t),m	NOUN
ma-50	737	38	≥	≥	NUM
ma-50	737	39	0	0	NUM
ma-50	737	40	,	,	PUNCT
ma-50	737	41	t	t	PROPN
ma-50	737	42	∈	∈	PROPN
ma-50	737	43	r+	r+	NOUN
ma-50	737	44	.	.	PUNCT
ma-50	738	1	for	for	ADP
ma-50	738	2	arbitrary	arbitrary	ADJ
ma-50	738	3	x0	x0	PROPN
ma-50	738	4	∈	∈	PROPN
ma-50	738	5	h	h	NOUN
ma-50	738	6	,	,	PUNCT
ma-50	738	7	let	let	VERB
ma-50	738	8	{	{	PUNCT
ma-50	738	9	ωn}∞n=0	ωn}∞n=0	NUM
ma-50	738	10	be	be	AUX
ma-50	738	11	the	the	DET
ma-50	738	12	multistep	multistep	ADJ
ma-50	738	13	ih	ih	NOUN
ma-50	738	14	-	-	PUNCT
ma-50	738	15	iteration	iteration	NOUN
ma-50	738	16	scheme	scheme	NOUN
ma-50	738	17	defined	define	VERB
ma-50	738	18	by	by	ADP
ma-50	738	19	(	(	PUNCT
ma-50	738	20	3.1	3.1	NUM
ma-50	738	21	)	)	PUNCT
ma-50	738	22	.	.	PUNCT
ma-50	739	1	assume	assume	VERB
ma-50	739	2	f	f	X
ma-50	739	3	(	(	PUNCT
ma-50	739	4	γ	γ	PROPN
ma-50	739	5	)	)	PUNCT
ma-50	739	6	6=	6=	NOUN
ma-50	739	7	∅	∅	NOUN
ma-50	739	8	,	,	PUNCT
ma-50	739	9	q	q	PROPN
ma-50	739	10	∈	∈	PROPN
ma-50	739	11	f	f	X
ma-50	739	12	(	(	PUNCT
ma-50	739	13	γ	γ	PROPN
ma-50	739	14	)	)	PUNCT
ma-50	739	15	.	.	PUNCT
ma-50	740	1	then	then	ADV
ma-50	740	2	,	,	PUNCT
ma-50	740	3	the	the	DET
ma-50	740	4	multisetp	multisetp	ADJ
ma-50	740	5	ih	ih	NOUN
ma-50	740	6	-	-	PUNCT
ma-50	740	7	iteration	iteration	NOUN
ma-50	740	8	scheme	scheme	NOUN
ma-50	740	9	is	be	AUX
ma-50	740	10	γ	γ	X
ma-50	740	11	-	-	ADJ
ma-50	740	12	stable	stable	ADJ
ma-50	740	13	.	.	PUNCT
ma-50	741	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	741	2	eur	eur	NOUN
ma-50	741	3	.	.	PUNCT
ma-50	742	1	j.	j.	PROPN
ma-50	742	2	math	math	PROPN
ma-50	742	3	.	.	PUNCT
ma-50	743	1	anal	anal	PROPN
ma-50	743	2	.	.	PUNCT
ma-50	744	1	10.28924	10.28924	NUM
ma-50	744	2	/	/	SYM
ma-50	744	3	ada	ada	PROPN
ma-50	744	4	/	/	SYM
ma-50	744	5	ma.2.1	ma.2.1	PROPN
ma-50	744	6	27	27	NUM
ma-50	744	7	proof	proof	NOUN
ma-50	744	8	.	.	PUNCT
ma-50	745	1	let	let	VERB
ma-50	745	2	{	{	PUNCT
ma-50	745	3	tn}∞n=0	tn}∞n=0	X
ma-50	745	4	and	and	CCONJ
ma-50	745	5	{	{	PUNCT
ma-50	745	6	vn}∞n=0	vn}∞n=0	NOUN
ma-50	745	7	,	,	PUNCT
ma-50	745	8	for	for	ADP
ma-50	745	9	i	i	PROPN
ma-50	745	10	=	=	SYM
ma-50	745	11	1	1	NUM
ma-50	745	12	,	,	PUNCT
ma-50	745	13	2	2	NUM
ma-50	745	14	,	,	PUNCT
ma-50	745	15	·	·	PUNCT
ma-50	745	16	·	·	PUNCT
ma-50	745	17	·	·	PUNCT
ma-50	745	18	,	,	PUNCT
ma-50	745	19	s	s	VERB
ma-50	745	20	−	−	PROPN
ma-50	745	21	1	1	NUM
ma-50	745	22	,	,	PUNCT
ma-50	745	23	be	be	AUX
ma-50	745	24	two	two	NUM
ma-50	745	25	real	real	ADJ
ma-50	745	26	sequences	sequence	NOUN
ma-50	745	27	in	in	ADP
ma-50	745	28	h.	h.	PROPN
ma-50	745	29	set	set	VERB
ma-50	745	30	εn	εn	ADP
ma-50	745	31	=	=	X
ma-50	745	32	‖tn+1	‖tn+1	PROPN
ma-50	745	33	−	−	PROPN
ma-50	745	34	δn,1tn	δn,1tn	NOUN
ma-50	746	1	−	−	PROPN
ma-50	747	1	`	`	PUNCT
ma-50	747	2	1∑	1∑	NUM
ma-50	747	3	j=2	j=2	PROPN
ma-50	747	4	δn	δn	PROPN
ma-50	747	5	,	,	PUNCT
ma-50	747	6	j	j	PROPN
ma-50	747	7	j−1∏	j−1∏	PROPN
ma-50	747	8	i=1	i=1	PROPN
ma-50	748	1	(	(	PUNCT
ma-50	748	2	1−	1−	NUM
ma-50	748	3	δn	δn	NOUN
ma-50	748	4	,	,	PUNCT
ma-50	748	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	748	6	−	−	NOUN
ma-50	748	7	`	`	PUNCT
ma-50	748	8	1∏	1∏	NUM
ma-50	748	9	i=1	i=1	PROPN
ma-50	748	10	(	(	PUNCT
ma-50	748	11	1−	1−	NUM
ma-50	748	12	δn	δn	NOUN
ma-50	748	13	,	,	PUNCT
ma-50	748	14	i)γ`1v1n	i)γ`1v1n	ADJ
ma-50	748	15	‖2	‖2	NOUN
ma-50	748	16	(	(	PUNCT
ma-50	748	17	4.12	4.12	NUM
ma-50	748	18	)	)	PUNCT
ma-50	748	19	where	where	SCONJ
ma-50	748	20	,	,	PUNCT
ma-50	748	21	for	for	ADP
ma-50	748	22	s	s	NOUN
ma-50	748	23	=	=	SYM
ma-50	748	24	1	1	NUM
ma-50	748	25	,	,	PUNCT
ma-50	748	26	2	2	NUM
ma-50	748	27	,	,	PUNCT
ma-50	748	28	·	·	PUNCT
ma-50	748	29	·	·	PUNCT
ma-50	748	30	·	·	PUNCT
ma-50	748	31	,	,	PUNCT
ma-50	748	32	k	k	PROPN
ma-50	749	1	−	−	PROPN
ma-50	749	2	2	2	NUM
ma-50	749	3	,	,	PUNCT
ma-50	749	4	v	v	ADV
ma-50	749	5	sn	sn	NOUN
ma-50	749	6	=	=	SYM
ma-50	749	7	αsn,1tn	αsn,1tn	NOUN
ma-50	749	8	+	+	CCONJ
ma-50	749	9	`	`	PUNCT
ma-50	749	10	s+1∑	s+1∑	ADJ
ma-50	749	11	j=2	j=2	NOUN
ma-50	749	12	αsn	αsn	NOUN
ma-50	749	13	,	,	PUNCT
ma-50	749	14	j	j	PROPN
ma-50	749	15	j−1∏	j−1∏	PROPN
ma-50	749	16	i=1	i=1	PROPN
ma-50	750	1	(	(	PUNCT
ma-50	750	2	1−	1−	NUM
ma-50	750	3	αsn	αsn	NOUN
ma-50	750	4	,	,	PUNCT
ma-50	750	5	i)γj−1v	i)γj−1v	ADP
ma-50	751	1	s+1n	s+1n	VERB
ma-50	751	2	+	+	CCONJ
ma-50	751	3	`	`	PUNCT
ma-50	751	4	s+1∏	s+1∏	NOUN
ma-50	751	5	i=1	i=1	PROPN
ma-50	751	6	(	(	PUNCT
ma-50	751	7	1−	1−	NUM
ma-50	751	8	αsn	αsn	NOUN
ma-50	751	9	,	,	PUNCT
ma-50	751	10	i)γ`1v	i)γ`1v	ADV
ma-50	751	11	s+1n	s+1n	PROPN
ma-50	751	12	(	(	PUNCT
ma-50	751	13	4.13	4.13	NUM
ma-50	751	14	)	)	PUNCT
ma-50	751	15	and	and	CCONJ
ma-50	751	16	,	,	PUNCT
ma-50	751	17	for	for	SCONJ
ma-50	751	18	k	k	PROPN
ma-50	751	19	≥	≥	NUM
ma-50	751	20	2	2	NUM
ma-50	751	21	,	,	PUNCT
ma-50	751	22	v	v	NOUN
ma-50	751	23	k−1n	k−1n	NOUN
ma-50	751	24	=	=	PUNCT
ma-50	752	1	`	`	PUNCT
ma-50	752	2	k∑	k∑	INTJ
ma-50	752	3	j=1	j=1	PROPN
ma-50	752	4	αk−1n	αk−1n	PROPN
ma-50	752	5	,	,	PUNCT
ma-50	752	6	j	j	PROPN
ma-50	752	7	j−1∏	j−1∏	PROPN
ma-50	752	8	i=1	i=1	PROPN
ma-50	753	1	(	(	PUNCT
ma-50	753	2	1−	1−	NUM
ma-50	753	3	αk−1n	αk−1n	PROPN
ma-50	753	4	,	,	PUNCT
ma-50	753	5	i	i	PRON
ma-50	753	6	)	)	PUNCT
ma-50	753	7	γj−1tn	γj−1tn	NUM
ma-50	754	1	+	+	CCONJ
ma-50	754	2	`	`	PUNCT
ma-50	754	3	k∏	k∏	PROPN
ma-50	754	4	i=1	i=1	PROPN
ma-50	754	5	(	(	PUNCT
ma-50	754	6	1−	1−	NUM
ma-50	754	7	αk−1n	αk−1n	PROPN
ma-50	754	8	,	,	PUNCT
ma-50	754	9	i	i	PRON
ma-50	754	10	)	)	PUNCT
ma-50	754	11	γ`k	γ`k	NOUN
ma-50	754	12	tn	tn	PROPN
ma-50	754	13	,	,	PUNCT
ma-50	754	14	n	n	X
ma-50	754	15	≥	≥	NOUN
ma-50	754	16	1	1	NUM
ma-50	754	17	,	,	PUNCT
ma-50	754	18	(	(	PUNCT
ma-50	754	19	4.14	4.14	NUM
ma-50	754	20	)	)	PUNCT
ma-50	754	21	now	now	ADV
ma-50	754	22	,	,	PUNCT
ma-50	754	23	suppose	suppose	VERB
ma-50	754	24	εn	εn	ADJ
ma-50	754	25	→	→	SYM
ma-50	754	26	0	0	NUM
ma-50	754	27	as	as	ADP
ma-50	754	28	n	n	X
ma-50	754	29	→∞.	→∞.	X
ma-50	754	30	then	then	ADV
ma-50	754	31	,	,	PUNCT
ma-50	754	32	we	we	PRON
ma-50	754	33	show	show	VERB
ma-50	754	34	that	that	SCONJ
ma-50	754	35	tn	tn	PROPN
ma-50	754	36	→	→	SYM
ma-50	754	37	q	q	X
ma-50	754	38	as	as	SCONJ
ma-50	754	39	n	n	ADV
ma-50	754	40	→∞	→∞	NOUN
ma-50	754	41	using	use	VERB
ma-50	754	42	contractive	contractive	ADJ
ma-50	754	43	mappingdefined	mappingdefine	VERB
ma-50	754	44	by	by	ADP
ma-50	754	45	(	(	PUNCT
ma-50	754	46	4.1).indeed	4.1).indeed	NUM
ma-50	754	47	,	,	PUNCT
ma-50	754	48	using	use	VERB
ma-50	754	49	proposition	proposition	NOUN
ma-50	754	50	2.4	2.4	NUM
ma-50	754	51	with	with	ADP
ma-50	754	52	u	u	NOUN
ma-50	755	1	=	=	NOUN
ma-50	755	2	q	q	PROPN
ma-50	755	3	,	,	PUNCT
ma-50	755	4	tn	tn	PROPN
ma-50	755	5	=	=	SYM
ma-50	755	6	t	t	PROPN
ma-50	755	7	,	,	PUNCT
ma-50	755	8	j	j	X
ma-50	756	1	=	=	PUNCT
ma-50	756	2	i	i	PROPN
ma-50	756	3	,	,	PUNCT
ma-50	756	4	k	k	PROPN
ma-50	756	5	=	=	SYM
ma-50	756	6	1,γj−1v1n	1,γj−1v1n	NUM
ma-50	757	1	=	=	SYM
ma-50	757	2	vj−1	vj−1	PROPN
ma-50	757	3	and	and	CCONJ
ma-50	757	4	γ`1v1n	γ`1v1n	PROPN
ma-50	757	5	=	=	SYM
ma-50	757	6	v	v	ADP
ma-50	757	7	„	„	PROPN
ma-50	757	8	we	we	PRON
ma-50	757	9	obtain	obtain	VERB
ma-50	757	10	‖tn+1	‖tn+1	NOUN
ma-50	757	11	−	−	PROPN
ma-50	757	12	q‖2	q‖2	PROPN
ma-50	758	1	=	=	PUNCT
ma-50	758	2	‖δn,1tn	‖δn,1tn	PROPN
ma-50	759	1	+	+	CCONJ
ma-50	759	2	`	`	PUNCT
ma-50	759	3	1∑	1∑	NUM
ma-50	759	4	j=2	j=2	PROPN
ma-50	759	5	δn	δn	PROPN
ma-50	759	6	,	,	PUNCT
ma-50	759	7	j	j	PROPN
ma-50	759	8	j−1∏	j−1∏	PROPN
ma-50	759	9	i=1	i=1	PROPN
ma-50	760	1	(	(	PUNCT
ma-50	760	2	1−	1−	NUM
ma-50	760	3	δn	δn	NOUN
ma-50	760	4	,	,	PUNCT
ma-50	760	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	760	6	+	+	CCONJ
ma-50	760	7	`	`	PUNCT
ma-50	760	8	1∏	1∏	NUM
ma-50	760	9	i=1	i=1	X
ma-50	760	10	(	(	PUNCT
ma-50	760	11	1−	1−	NUM
ma-50	760	12	δn	δn	NOUN
ma-50	760	13	,	,	PUNCT
ma-50	760	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	760	15	−	−	NOUN
ma-50	760	16	q	q	NOUN
ma-50	760	17	−[δn,1tn	−[δn,1tn	VERB
ma-50	760	18	+	+	NUM
ma-50	760	19	`	`	PUNCT
ma-50	760	20	1∑	1∑	NUM
ma-50	760	21	j=2	j=2	PROPN
ma-50	760	22	δn	δn	PROPN
ma-50	760	23	,	,	PUNCT
ma-50	760	24	j	j	PROPN
ma-50	760	25	j−1∏	j−1∏	PROPN
ma-50	760	26	i=1	i=1	PROPN
ma-50	761	1	(	(	PUNCT
ma-50	761	2	1−	1−	NUM
ma-50	761	3	δn	δn	NOUN
ma-50	761	4	,	,	PUNCT
ma-50	761	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	761	6	+	+	CCONJ
ma-50	761	7	`	`	PUNCT
ma-50	761	8	1∏	1∏	NUM
ma-50	761	9	i=1	i=1	X
ma-50	761	10	(	(	PUNCT
ma-50	761	11	1−	1−	NUM
ma-50	761	12	δn	δn	NOUN
ma-50	761	13	,	,	PUNCT
ma-50	761	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	761	15	−	−	PROPN
ma-50	761	16	tn+1]‖2	tn+1]‖2	NUM
ma-50	761	17	≤	≤	NUM
ma-50	761	18	‖	‖	NUM
ma-50	761	19	−	−	PROPN
ma-50	762	1	[	[	X
ma-50	762	2	tn+1	tn+1	NUM
ma-50	762	3	−	−	NOUN
ma-50	762	4	δn,1tn	δn,1tn	NOUN
ma-50	762	5	−	−	PROPN
ma-50	763	1	`	`	PUNCT
ma-50	763	2	1∑	1∑	NUM
ma-50	763	3	j=2	j=2	PROPN
ma-50	763	4	δn	δn	PROPN
ma-50	763	5	,	,	PUNCT
ma-50	763	6	j	j	PROPN
ma-50	763	7	j−1∏	j−1∏	PROPN
ma-50	763	8	i=1	i=1	PROPN
ma-50	764	1	(	(	PUNCT
ma-50	764	2	1−	1−	NUM
ma-50	764	3	δn	δn	NOUN
ma-50	764	4	,	,	PUNCT
ma-50	764	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	764	6	−	−	NOUN
ma-50	764	7	`	`	PUNCT
ma-50	764	8	1∏	1∏	NUM
ma-50	764	9	i=1	i=1	PROPN
ma-50	764	10	(	(	PUNCT
ma-50	764	11	1−	1−	NUM
ma-50	764	12	δn	δn	NOUN
ma-50	764	13	,	,	PUNCT
ma-50	764	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	764	15	]	]	X
ma-50	764	16	‖2	‖2	NOUN
ma-50	765	1	+	+	ADJ
ma-50	765	2	‖δn,1tn	‖δn,1tn	PRON
ma-50	765	3	+	+	PUNCT
ma-50	765	4	`	`	PUNCT
ma-50	765	5	1∑	1∑	NUM
ma-50	765	6	j=2	j=2	PROPN
ma-50	765	7	δn	δn	PROPN
ma-50	765	8	,	,	PUNCT
ma-50	765	9	j	j	PROPN
ma-50	765	10	j−1∏	j−1∏	PROPN
ma-50	765	11	i=1	i=1	PROPN
ma-50	766	1	(	(	PUNCT
ma-50	766	2	1−	1−	NUM
ma-50	766	3	δn	δn	NOUN
ma-50	766	4	,	,	PUNCT
ma-50	766	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	766	6	+	+	CCONJ
ma-50	766	7	`	`	PUNCT
ma-50	766	8	1∏	1∏	NUM
ma-50	766	9	i=1	i=1	X
ma-50	766	10	(	(	PUNCT
ma-50	766	11	1−	1−	NUM
ma-50	766	12	δn	δn	NOUN
ma-50	766	13	,	,	PUNCT
ma-50	766	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	766	15	−	−	PROPN
ma-50	766	16	q‖2	q‖2	PROPN
ma-50	766	17	=	=	SYM
ma-50	766	18	‖tn+1	‖tn+1	NOUN
ma-50	766	19	−	−	PROPN
ma-50	766	20	δn,1tn	δn,1tn	NOUN
ma-50	766	21	−	−	PROPN
ma-50	767	1	`	`	PUNCT
ma-50	767	2	1∑	1∑	NUM
ma-50	767	3	j=2	j=2	PROPN
ma-50	767	4	δn	δn	PROPN
ma-50	767	5	,	,	PUNCT
ma-50	767	6	j	j	PROPN
ma-50	767	7	j−1∏	j−1∏	PROPN
ma-50	767	8	i=1	i=1	PROPN
ma-50	768	1	(	(	PUNCT
ma-50	768	2	1−	1−	NUM
ma-50	768	3	δn	δn	NOUN
ma-50	768	4	,	,	PUNCT
ma-50	768	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	768	6	−	−	NOUN
ma-50	768	7	`	`	PUNCT
ma-50	768	8	1∏	1∏	NUM
ma-50	768	9	i=1	i=1	PROPN
ma-50	768	10	(	(	PUNCT
ma-50	768	11	1−	1−	NUM
ma-50	768	12	δn	δn	NOUN
ma-50	768	13	,	,	PUNCT
ma-50	768	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	768	15	‖2	‖2	NOUN
ma-50	769	1	+	+	NOUN
ma-50	769	2	‖δn,1tn	‖δn,1tn	PRON
ma-50	769	3	+	+	PUNCT
ma-50	769	4	`	`	PUNCT
ma-50	769	5	1∑	1∑	NUM
ma-50	769	6	j=2	j=2	PROPN
ma-50	769	7	δn	δn	PROPN
ma-50	769	8	,	,	PUNCT
ma-50	769	9	j	j	PROPN
ma-50	769	10	j−1∏	j−1∏	PROPN
ma-50	769	11	i=1	i=1	PROPN
ma-50	770	1	(	(	PUNCT
ma-50	770	2	1−	1−	NUM
ma-50	770	3	δn	δn	NOUN
ma-50	770	4	,	,	PUNCT
ma-50	770	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	770	6	+	+	CCONJ
ma-50	770	7	`	`	PUNCT
ma-50	770	8	1∏	1∏	NUM
ma-50	770	9	i=1	i=1	X
ma-50	770	10	(	(	PUNCT
ma-50	770	11	1−	1−	NUM
ma-50	770	12	δn	δn	NOUN
ma-50	770	13	,	,	PUNCT
ma-50	770	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	770	15	−	−	PROPN
ma-50	770	16	q‖2	q‖2	PROPN
ma-50	770	17	=	=	PUNCT
ma-50	770	18	εn	εn	ADJ
ma-50	770	19	+	+	CCONJ
ma-50	770	20	‖δn,1tn	‖δn,1tn	PROPN
ma-50	770	21	+	+	PUNCT
ma-50	770	22	`	`	PUNCT
ma-50	770	23	1∑	1∑	NUM
ma-50	770	24	j=2	j=2	PROPN
ma-50	770	25	δn	δn	PROPN
ma-50	770	26	,	,	PUNCT
ma-50	770	27	j	j	PROPN
ma-50	770	28	j−1∏	j−1∏	PROPN
ma-50	770	29	i=1	i=1	PROPN
ma-50	771	1	(	(	PUNCT
ma-50	771	2	1−	1−	NUM
ma-50	771	3	δn	δn	NOUN
ma-50	771	4	,	,	PUNCT
ma-50	771	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	771	6	+	+	CCONJ
ma-50	771	7	`	`	PUNCT
ma-50	771	8	1∏	1∏	NUM
ma-50	771	9	i=1	i=1	X
ma-50	771	10	(	(	PUNCT
ma-50	771	11	1−	1−	NUM
ma-50	771	12	δn	δn	NOUN
ma-50	771	13	,	,	PUNCT
ma-50	771	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	771	15	−	−	PROPN
ma-50	771	16	q‖2	q‖2	VERB
ma-50	771	17	≤	≤	NOUN
ma-50	771	18	εn	εn	ADP
ma-50	771	19	+	+	CCONJ
ma-50	771	20	δn,1‖tn	δn,1‖tn	ADV
ma-50	771	21	−	−	NOUN
ma-50	772	1	q‖2	q‖2	VERB
ma-50	773	1	+	+	CCONJ
ma-50	773	2	`	`	PUNCT
ma-50	773	3	1∑	1∑	NUM
ma-50	773	4	j=2	j=2	PROPN
ma-50	773	5	δn	δn	PROPN
ma-50	773	6	,	,	PUNCT
ma-50	773	7	j	j	PROPN
ma-50	774	1	j−1∏	j−1∏	PROPN
ma-50	774	2	i=1	i=1	PROPN
ma-50	775	1	(	(	PUNCT
ma-50	775	2	1−	1−	NUM
ma-50	775	3	δn	δn	NOUN
ma-50	775	4	,	,	PUNCT
ma-50	775	5	i)‖γj−1v1n	i)‖γj−1v1n	NUM
ma-50	775	6	−	−	NOUN
ma-50	775	7	q‖2	q‖2	VERB
ma-50	775	8	+	+	CCONJ
ma-50	775	9	`	`	PUNCT
ma-50	775	10	1∏	1∏	NUM
ma-50	775	11	i=1	i=1	PROPN
ma-50	775	12	(	(	PUNCT
ma-50	775	13	1−	1−	NUM
ma-50	775	14	δn	δn	NOUN
ma-50	775	15	,	,	PUNCT
ma-50	775	16	i)‖γ`1v1n	i)‖γ`1v1n	PROPN
ma-50	775	17	−	−	PROPN
ma-50	775	18	q‖2	q‖2	VERB
ma-50	775	19	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	775	20	eur	eur	NOUN
ma-50	775	21	.	.	PUNCT
ma-50	776	1	j.	j.	PROPN
ma-50	776	2	math	math	PROPN
ma-50	776	3	.	.	PUNCT
ma-50	777	1	anal	anal	PROPN
ma-50	777	2	.	.	PUNCT
ma-50	778	1	10.28924	10.28924	NUM
ma-50	778	2	/	/	SYM
ma-50	778	3	ada	ada	PROPN
ma-50	778	4	/	/	SYM
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ma-50	778	6	28	28	NUM
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ma-50	778	8	εn	εn	ADJ
ma-50	778	9	+	+	CCONJ
ma-50	778	10	δn,1‖tn	δn,1‖tn	ADV
ma-50	778	11	−	−	NOUN
ma-50	778	12	q‖2	q‖2	VERB
ma-50	778	13	+	+	CCONJ
ma-50	778	14	`	`	PUNCT
ma-50	778	15	1∑	1∑	NUM
ma-50	778	16	j=2	j=2	PROPN
ma-50	778	17	δn	δn	NOUN
ma-50	778	18	,	,	PUNCT
ma-50	778	19	j(ρ	j(ρ	PROPN
ma-50	778	20	j)2	j)2	VERB
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ma-50	778	22	i=1	i=1	PROPN
ma-50	779	1	(	(	PUNCT
ma-50	779	2	1−	1−	NUM
ma-50	779	3	δn	δn	NOUN
ma-50	779	4	,	,	PUNCT
ma-50	779	5	i)‖v1n	i)‖v1n	ADJ
ma-50	779	6	−	−	PROPN
ma-50	779	7	q‖2	q‖2	VERB
ma-50	779	8	+	+	CCONJ
ma-50	779	9	`	`	PUNCT
ma-50	779	10	1∏	1∏	NUM
ma-50	779	11	i=1	i=1	PROPN
ma-50	779	12	(	(	PUNCT
ma-50	779	13	1−	1−	NUM
ma-50	779	14	δn	δn	NOUN
ma-50	779	15	,	,	PUNCT
ma-50	779	16	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	779	17	−	−	PROPN
ma-50	779	18	q‖2	q‖2	VERB
ma-50	779	19	=	=	PUNCT
ma-50	779	20	εn	εn	ADJ
ma-50	779	21	+	+	CCONJ
ma-50	779	22	δn,1‖tn	δn,1‖tn	ADV
ma-50	779	23	−	−	NOUN
ma-50	780	1	q‖2	q‖2	VERB
ma-50	781	1	+	+	CCONJ
ma-50	781	2	(	(	PUNCT
ma-50	781	3	1−	1−	NUM
ma-50	781	4	δn,1	δn,1	NOUN
ma-50	781	5	−	−	NOUN
ma-50	781	6	`	`	PUNCT
ma-50	781	7	1∏	1∏	NUM
ma-50	781	8	i=1	i=1	X
ma-50	781	9	(	(	PUNCT
ma-50	781	10	1−	1−	NUM
ma-50	781	11	δn	δn	NOUN
ma-50	781	12	,	,	PUNCT
ma-50	781	13	i	i	NOUN
ma-50	781	14	)	)	PUNCT
ma-50	781	15	)	)	PUNCT
ma-50	782	1	(	(	PUNCT
ma-50	782	2	ρj)2‖v1n	ρj)2‖v1n	ADJ
ma-50	782	3	−	−	PROPN
ma-50	782	4	q‖2	q‖2	VERB
ma-50	782	5	+	+	CCONJ
ma-50	782	6	`	`	PUNCT
ma-50	782	7	1∏	1∏	NUM
ma-50	782	8	i=1	i=1	PROPN
ma-50	782	9	(	(	PUNCT
ma-50	782	10	1−	1−	NUM
ma-50	782	11	δn	δn	NOUN
ma-50	782	12	,	,	PUNCT
ma-50	782	13	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	782	14	−	−	PROPN
ma-50	782	15	q‖2	q‖2	VERB
ma-50	782	16	<	<	X
ma-50	782	17	εn	εn	ADJ
ma-50	782	18	+	+	CCONJ
ma-50	782	19	δn,1‖tn	δn,1‖tn	ADV
ma-50	782	20	−	−	NOUN
ma-50	783	1	q‖2	q‖2	NOUN
ma-50	784	1	+	+	CCONJ
ma-50	784	2	(	(	PUNCT
ma-50	784	3	1−	1−	NUM
ma-50	784	4	δn,1	δn,1	NOUN
ma-50	784	5	)	)	PUNCT
ma-50	784	6	‖v1n	‖v1n	NOUN
ma-50	784	7	−	−	PROPN
ma-50	785	1	q‖2	q‖2	PROPN
ma-50	785	2	(	(	PUNCT
ma-50	785	3	4.15	4.15	NUM
ma-50	785	4	)	)	PUNCT
ma-50	785	5	since	since	SCONJ
ma-50	785	6	`	`	PUNCT
ma-50	785	7	1	1	NUM
ma-50	785	8	,	,	PUNCT
ma-50	785	9	`	`	PUNCT
ma-50	785	10	k	k	X
ma-50	785	11	are	be	AUX
ma-50	785	12	fixed	fix	VERB
ma-50	785	13	integers	integer	NOUN
ma-50	785	14	and	and	CCONJ
ma-50	785	15	αsn	αsn	NOUN
ma-50	785	16	,	,	PUNCT
ma-50	785	17	i	i	PRON
ma-50	785	18	∈	∈	VERB
ma-50	786	1	[	[	X
ma-50	786	2	0	0	NUM
ma-50	786	3	,	,	PUNCT
ma-50	786	4	1	1	NUM
ma-50	786	5	]	]	PUNCT
ma-50	786	6	for	for	ADP
ma-50	786	7	each	each	DET
ma-50	786	8	s	s	PART
ma-50	786	9	,	,	PUNCT
ma-50	786	10	the	the	DET
ma-50	786	11	estimations	estimation	NOUN
ma-50	786	12	below	below	ADV
ma-50	786	13	are	be	AUX
ma-50	786	14	obtained	obtain	VERB
ma-50	786	15	for	for	ADP
ma-50	786	16	n	n	NOUN
ma-50	786	17	=	=	SYM
ma-50	786	18	1	1	NUM
ma-50	786	19	,	,	PUNCT
ma-50	786	20	2	2	NUM
ma-50	786	21	,	,	PUNCT
ma-50	786	22	·	·	PUNCT
ma-50	786	23	·	·	PUNCT
ma-50	786	24	·	·	PUNCT
ma-50	786	25	and	and	CCONJ
ma-50	786	26	1	1	NUM
ma-50	786	27	≤	≤	NOUN
ma-50	786	28	s	s	PART
ma-50	786	29	≤	≤	NUM
ma-50	787	1	k	k	NOUN
ma-50	787	2	−	−	PROPN
ma-50	787	3	1	1	NUM
ma-50	787	4	:	:	PUNCT
ma-50	787	5	‖v1n	‖v1n	ADJ
ma-50	787	6	−	−	NOUN
ma-50	787	7	q‖2	q‖2	VERB
ma-50	787	8	≤	≤	NUM
ma-50	788	1	αn,1‖tn	αn,1‖tn	NUM
ma-50	788	2	−	−	PROPN
ma-50	788	3	q‖2	q‖2	VERB
ma-50	788	4	+	+	CCONJ
ma-50	788	5	`	`	PUNCT
ma-50	788	6	2∑	2∑	NUM
ma-50	788	7	j=2	j=2	NOUN
ma-50	788	8	αn	αn	NOUN
ma-50	788	9	,	,	PUNCT
ma-50	788	10	j	j	PROPN
ma-50	788	11	j−1∏	j−1∏	PROPN
ma-50	788	12	i=1	i=1	PROPN
ma-50	789	1	(	(	PUNCT
ma-50	789	2	1−	1−	NUM
ma-50	789	3	αn	αn	NOUN
ma-50	789	4	,	,	PUNCT
ma-50	789	5	i)‖γj−1v2n	i)‖γj−1v2n	PROPN
ma-50	789	6	−	−	NOUN
ma-50	789	7	γj−1q‖2	γj−1q‖2	PROPN
ma-50	790	1	+	+	CCONJ
ma-50	790	2	`	`	PUNCT
ma-50	790	3	2∏	2∏	NUM
ma-50	790	4	i=1	i=1	PROPN
ma-50	790	5	(	(	PUNCT
ma-50	790	6	1−	1−	NUM
ma-50	790	7	αn	αn	NOUN
ma-50	790	8	,	,	PUNCT
ma-50	790	9	i)‖γ`2v2n	i)‖γ`2v2n	PROPN
ma-50	790	10	−	−	PROPN
ma-50	790	11	γ`2q‖2	γ`2q‖2	VERB
ma-50	790	12	≤	≤	X
ma-50	790	13	α1n,1‖tn	α1n,1‖tn	NUM
ma-50	790	14	−	−	NOUN
ma-50	790	15	q‖2	q‖2	NOUN
ma-50	790	16	+	+	CCONJ
ma-50	790	17	`	`	PUNCT
ma-50	790	18	2∑	2∑	NUM
ma-50	790	19	j=2	j=2	NOUN
ma-50	790	20	αn	αn	NOUN
ma-50	790	21	,	,	PUNCT
ma-50	790	22	j(ρ	j(ρ	PROPN
ma-50	790	23	j)2	j)2	VERB
ma-50	791	1	j−1∏	j−1∏	ADP
ma-50	791	2	i=1	i=1	PROPN
ma-50	792	1	(	(	PUNCT
ma-50	792	2	1−	1−	NUM
ma-50	792	3	αn	αn	NOUN
ma-50	792	4	,	,	PUNCT
ma-50	792	5	i)‖v2n	i)‖v2n	NOUN
ma-50	792	6	−	−	NOUN
ma-50	792	7	q‖2	q‖2	PROPN
ma-50	792	8	+	+	CCONJ
ma-50	793	1	`	`	PUNCT
ma-50	793	2	2∏	2∏	NUM
ma-50	793	3	i=1	i=1	PROPN
ma-50	793	4	(	(	PUNCT
ma-50	793	5	1−	1−	NUM
ma-50	793	6	αn	αn	NOUN
ma-50	793	7	,	,	PUNCT
ma-50	793	8	i)(ρj)2‖v2n	i)(ρj)2‖v2n	PROPN
ma-50	793	9	−	−	PROPN
ma-50	793	10	q‖2	q‖2	VERB
ma-50	793	11	≤	≤	NUM
ma-50	793	12	α1n,1‖tn	α1n,1‖tn	NUM
ma-50	793	13	−	−	NOUN
ma-50	793	14	q‖2	q‖2	NOUN
ma-50	794	1	+	+	CCONJ
ma-50	794	2	`	`	PUNCT
ma-50	794	3	2∑	2∑	NUM
ma-50	794	4	j=2	j=2	PROPN
ma-50	794	5	α1n	α1n	PROPN
ma-50	794	6	,	,	PUNCT
ma-50	794	7	j(ρ	j(ρ	PROPN
ma-50	794	8	j)2	j)2	VERB
ma-50	794	9	j−1∏	j−1∏	ADP
ma-50	794	10	i=1	i=1	PROPN
ma-50	794	11	(	(	PUNCT
ma-50	794	12	1−	1−	NUM
ma-50	794	13	α1n	α1n	PROPN
ma-50	794	14	,	,	PUNCT
ma-50	794	15	i	i	NOUN
ma-50	794	16	)	)	PUNCT
ma-50	794	17	[	[	PUNCT
ma-50	794	18	α2n,1‖tn	α2n,1‖tn	NUM
ma-50	794	19	−	−	NOUN
ma-50	794	20	q‖2	q‖2	VERB
ma-50	794	21	+	+	CCONJ
ma-50	794	22	`	`	PUNCT
ma-50	794	23	3∑	3∑	NUM
ma-50	794	24	j=2	j=2	PROPN
ma-50	794	25	α2n	α2n	PROPN
ma-50	794	26	,	,	PUNCT
ma-50	794	27	j(ρ	j(ρ	PROPN
ma-50	794	28	j)2	j)2	VERB
ma-50	794	29	j−1∏	j−1∏	ADP
ma-50	794	30	i=1	i=1	PROPN
ma-50	794	31	(	(	PUNCT
ma-50	794	32	1−	1−	NUM
ma-50	794	33	α2n	α2n	PROPN
ma-50	794	34	,	,	PUNCT
ma-50	794	35	i)‖v3n	i)‖v3n	NOUN
ma-50	794	36	−	−	VERB
ma-50	794	37	q‖2	q‖2	NOUN
ma-50	795	1	+	+	CCONJ
ma-50	795	2	`	`	PUNCT
ma-50	795	3	3∏	3∏	NUM
ma-50	795	4	i=1	i=1	X
ma-50	795	5	(	(	PUNCT
ma-50	795	6	1−	1−	NUM
ma-50	795	7	α2n	α2n	PROPN
ma-50	795	8	,	,	PUNCT
ma-50	795	9	i)(ρj)2‖v3n	i)(ρj)2‖v3n	PROPN
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ma-50	795	11	q‖2	q‖2	VERB
ma-50	795	12	]	]	PUNCT
ma-50	796	1	+	+	CCONJ
ma-50	796	2	`	`	PUNCT
ma-50	796	3	2∏	2∏	NUM
ma-50	796	4	i=1	i=1	PROPN
ma-50	796	5	(	(	PUNCT
ma-50	796	6	1−	1−	NUM
ma-50	796	7	α1n	α1n	NOUN
ma-50	796	8	,	,	PUNCT
ma-50	796	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	796	10	[	[	PUNCT
ma-50	796	11	α2n,1‖tn	α2n,1‖tn	NUM
ma-50	796	12	−	−	NOUN
ma-50	796	13	q‖2	q‖2	VERB
ma-50	796	14	+	+	CCONJ
ma-50	796	15	`	`	PUNCT
ma-50	796	16	3∑	3∑	NUM
ma-50	796	17	j=2	j=2	PROPN
ma-50	796	18	α2n	α2n	PROPN
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ma-50	796	20	j(ρ	j(ρ	PROPN
ma-50	796	21	j)2	j)2	VERB
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ma-50	796	23	i=1	i=1	PROPN
ma-50	796	24	(	(	PUNCT
ma-50	796	25	1−	1−	NUM
ma-50	796	26	α2n	α2n	PROPN
ma-50	796	27	,	,	PUNCT
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ma-50	796	29	−	−	VERB
ma-50	796	30	q‖2	q‖2	NOUN
ma-50	796	31	+	+	CCONJ
ma-50	796	32	`	`	PUNCT
ma-50	796	33	3∏	3∏	NUM
ma-50	796	34	i=1	i=1	X
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ma-50	796	38	,	,	PUNCT
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ma-50	796	41	q‖2	q‖2	VERB
ma-50	796	42	]	]	PUNCT
ma-50	796	43	=	=	SYM
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ma-50	796	45	−	−	NOUN
ma-50	796	46	q‖2	q‖2	VERB
ma-50	796	47	+	+	CCONJ
ma-50	796	48	`	`	PUNCT
ma-50	796	49	2∑	2∑	NUM
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ma-50	796	51	α1n	α1n	PROPN
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ma-50	796	53	j(ρ	j(ρ	PROPN
ma-50	796	54	j)2	j)2	VERB
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ma-50	796	56	i=1	i=1	PROPN
ma-50	796	57	(	(	PUNCT
ma-50	796	58	1−	1−	NUM
ma-50	796	59	α1n	α1n	NOUN
ma-50	796	60	,	,	PUNCT
ma-50	796	61	i)α2n,1‖tn	i)α2n,1‖tn	PROPN
ma-50	796	62	−	−	PROPN
ma-50	796	63	q‖2	q‖2	VERB
ma-50	797	1	+	+	CCONJ
ma-50	797	2	(	(	PUNCT
ma-50	797	3	`	`	PUNCT
ma-50	797	4	2∑	2∑	X
ma-50	797	5	j=2	j=2	X
ma-50	797	6	α1n	α1n	PROPN
ma-50	797	7	,	,	PUNCT
ma-50	797	8	j(ρ	j(ρ	PROPN
ma-50	797	9	j)2	j)2	VERB
ma-50	797	10	j−1∏	j−1∏	ADP
ma-50	797	11	i=1	i=1	PROPN
ma-50	797	12	(	(	PUNCT
ma-50	797	13	1−	1−	NUM
ma-50	797	14	α1n	α1n	PROPN
ma-50	797	15	,	,	PUNCT
ma-50	797	16	i	i	NOUN
ma-50	797	17	)	)	PUNCT
ma-50	797	18	)	)	PUNCT
ma-50	798	1			PROPN
ma-50	798	2	`	`	PUNCT
ma-50	798	3	3∑	3∑	PROPN
ma-50	798	4	j=2	j=2	PROPN
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ma-50	798	6	,	,	PUNCT
ma-50	798	7	j(ρ	j(ρ	PROPN
ma-50	798	8	j)2	j)2	VERB
ma-50	798	9	j−1∏	j−1∏	ADP
ma-50	798	10	i=1	i=1	PROPN
ma-50	798	11	(	(	PUNCT
ma-50	798	12	1−	1−	NUM
ma-50	798	13	α2n	α2n	PROPN
ma-50	798	14	,	,	PUNCT
ma-50	798	15	i	i	NOUN
ma-50	798	16	)	)	PUNCT
ma-50	799	1			PROPN
ma-50	799	2	‖v3n	‖v3n	ADJ
ma-50	799	3	−	−	NOUN
ma-50	799	4	q‖2	q‖2	VERB
ma-50	799	5	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	799	6	eur	eur	NOUN
ma-50	799	7	.	.	PUNCT
ma-50	800	1	j.	j.	PROPN
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ma-50	800	3	.	.	PUNCT
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ma-50	801	2	.	.	PUNCT
ma-50	802	1	10.28924	10.28924	NUM
ma-50	802	2	/	/	SYM
ma-50	802	3	ada	ada	PROPN
ma-50	802	4	/	/	SYM
ma-50	802	5	ma.2.1	ma.2.1	PROPN
ma-50	802	6	29	29	NUM
ma-50	802	7	+	+	CCONJ
ma-50	802	8	(	(	PUNCT
ma-50	802	9	`	`	PUNCT
ma-50	802	10	2∑	2∑	X
ma-50	802	11	j=2	j=2	X
ma-50	802	12	α1n	α1n	PROPN
ma-50	802	13	,	,	PUNCT
ma-50	802	14	j(ρ	j(ρ	PROPN
ma-50	802	15	j)2	j)2	VERB
ma-50	802	16	j−1∏	j−1∏	ADP
ma-50	802	17	i=1	i=1	PROPN
ma-50	803	1	(	(	PUNCT
ma-50	803	2	1−	1−	NUM
ma-50	803	3	α1n	α1n	PROPN
ma-50	803	4	,	,	PUNCT
ma-50	803	5	i	i	NOUN
ma-50	803	6	)	)	PUNCT
ma-50	803	7	)	)	PUNCT
ma-50	804	1	(	(	PUNCT
ma-50	804	2	`	`	PUNCT
ma-50	804	3	3∏	3∏	NUM
ma-50	804	4	i=1	i=1	X
ma-50	804	5	(	(	PUNCT
ma-50	804	6	1−	1−	NUM
ma-50	804	7	α2n	α2n	PROPN
ma-50	804	8	,	,	PUNCT
ma-50	804	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	804	10	)	)	PUNCT
ma-50	804	11	‖v3n	‖v3n	ADJ
ma-50	804	12	−	−	NOUN
ma-50	804	13	q‖2	q‖2	VERB
ma-50	804	14	+	+	CCONJ
ma-50	805	1	`	`	PUNCT
ma-50	806	1	2∏	2∏	NUM
ma-50	806	2	i=1	i=1	PROPN
ma-50	806	3	(	(	PUNCT
ma-50	806	4	1−	1−	NUM
ma-50	806	5	α1n	α1n	PROPN
ma-50	806	6	,	,	PUNCT
ma-50	806	7	i)(ρj)2α2n,1‖tn	i)(ρj)2α2n,1‖tn	NOUN
ma-50	806	8	−	−	PROPN
ma-50	806	9	q‖2	q‖2	VERB
ma-50	807	1	+	+	CCONJ
ma-50	807	2			PROPN
ma-50	807	3	`	`	PUNCT
ma-50	807	4	3∑	3∑	PROPN
ma-50	807	5	j=2	j=2	PROPN
ma-50	807	6	α2n	α2n	PROPN
ma-50	807	7	,	,	PUNCT
ma-50	807	8	j(ρ	j(ρ	PROPN
ma-50	807	9	j)2	j)2	VERB
ma-50	807	10	j−1∏	j−1∏	ADP
ma-50	807	11	i=1	i=1	PROPN
ma-50	807	12	(	(	PUNCT
ma-50	807	13	1−	1−	NUM
ma-50	807	14	α2n	α2n	PROPN
ma-50	807	15	,	,	PUNCT
ma-50	807	16	i	i	NOUN
ma-50	807	17	)	)	PUNCT
ma-50	807	18			PROPN
ma-50	807	19	(	(	PUNCT
ma-50	807	20	`	`	PUNCT
ma-50	807	21	2∏	2∏	NUM
ma-50	807	22	i=1	i=1	PROPN
ma-50	807	23	(	(	PUNCT
ma-50	807	24	1−	1−	NUM
ma-50	807	25	α1n	α1n	NOUN
ma-50	807	26	,	,	PUNCT
ma-50	807	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	807	28	)	)	PUNCT
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ma-50	807	30	−	−	NOUN
ma-50	808	1	q‖2	q‖2	VERB
ma-50	808	2	+	+	CCONJ
ma-50	808	3	(	(	PUNCT
ma-50	808	4	`	`	PUNCT
ma-50	808	5	3∏	3∏	NUM
ma-50	808	6	i=1	i=1	X
ma-50	808	7	(	(	PUNCT
ma-50	808	8	1−	1−	NUM
ma-50	808	9	α2n	α2n	PROPN
ma-50	808	10	,	,	PUNCT
ma-50	808	11	i)(ρj)2	i)(ρj)2	ADJ
ma-50	808	12	)	)	PUNCT
ma-50	808	13	(	(	PUNCT
ma-50	808	14	`	`	PUNCT
ma-50	808	15	2∏	2∏	NUM
ma-50	808	16	i=1	i=1	PROPN
ma-50	808	17	(	(	PUNCT
ma-50	808	18	1−	1−	NUM
ma-50	808	19	α1n	α1n	NOUN
ma-50	808	20	,	,	PUNCT
ma-50	808	21	i)(ρj)2	i)(ρj)2	ADJ
ma-50	808	22	)	)	PUNCT
ma-50	808	23	‖v3n	‖v3n	ADJ
ma-50	808	24	−	−	NOUN
ma-50	808	25	q‖2	q‖2	VERB
ma-50	808	26	≤	≤	NUM
ma-50	808	27	α1n,1‖tn	α1n,1‖tn	NUM
ma-50	808	28	−	−	NOUN
ma-50	809	1	q‖2	q‖2	NOUN
ma-50	810	1	+	+	CCONJ
ma-50	811	1	`	`	PUNCT
ma-50	811	2	2∑	2∑	NUM
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ma-50	811	4	α1n	α1n	PROPN
ma-50	811	5	,	,	PUNCT
ma-50	811	6	j(ρ	j(ρ	PROPN
ma-50	811	7	j)2	j)2	VERB
ma-50	811	8	j−1∏	j−1∏	ADP
ma-50	811	9	i=1	i=1	PROPN
ma-50	811	10	(	(	PUNCT
ma-50	811	11	1−	1−	NUM
ma-50	811	12	α1n	α1n	NOUN
ma-50	811	13	,	,	PUNCT
ma-50	811	14	i)α2n,1‖tn	i)α2n,1‖tn	PROPN
ma-50	811	15	−	−	PROPN
ma-50	811	16	q‖2	q‖2	VERB
ma-50	812	1	+	+	CCONJ
ma-50	812	2	`	`	PUNCT
ma-50	812	3	2∏	2∏	NUM
ma-50	812	4	i=1	i=1	PROPN
ma-50	812	5	(	(	PUNCT
ma-50	812	6	1−	1−	NUM
ma-50	812	7	α1n	α1n	PROPN
ma-50	812	8	,	,	PUNCT
ma-50	812	9	i)(ρj)2α2n,1‖tn	i)(ρj)2α2n,1‖tn	NOUN
ma-50	812	10	−	−	PROPN
ma-50	812	11	q‖2	q‖2	VERB
ma-50	812	12	+	+	CCONJ
ma-50	812	13	(	(	PUNCT
ma-50	812	14	`	`	PUNCT
ma-50	812	15	2∑	2∑	X
ma-50	812	16	j=2	j=2	X
ma-50	812	17	α1n	α1n	PROPN
ma-50	812	18	,	,	PUNCT
ma-50	812	19	j(ρ	j(ρ	PROPN
ma-50	812	20	j)2	j)2	VERB
ma-50	812	21	j−1∏	j−1∏	ADP
ma-50	812	22	i=1	i=1	PROPN
ma-50	813	1	(	(	PUNCT
ma-50	813	2	1−	1−	NUM
ma-50	813	3	α1n	α1n	PROPN
ma-50	813	4	,	,	PUNCT
ma-50	813	5	i	i	NOUN
ma-50	813	6	)	)	PUNCT
ma-50	813	7	)	)	PUNCT
ma-50	814	1			PROPN
ma-50	814	2	`	`	PUNCT
ma-50	814	3	3∑	3∑	PROPN
ma-50	814	4	j=2	j=2	PROPN
ma-50	814	5	α2n	α2n	PROPN
ma-50	814	6	,	,	PUNCT
ma-50	814	7	j(ρ	j(ρ	PROPN
ma-50	814	8	j)2	j)2	VERB
ma-50	814	9	j−1∏	j−1∏	ADP
ma-50	814	10	i=1	i=1	PROPN
ma-50	814	11	(	(	PUNCT
ma-50	814	12	1−	1−	NUM
ma-50	814	13	α2n	α2n	PROPN
ma-50	814	14	,	,	PUNCT
ma-50	814	15	i	i	PROPN
ma-50	814	16	)	)	PUNCT
ma-50	814	17	[α3n,1‖tn	[α3n,1‖tn	ADP
ma-50	815	1	−	−	PROPN
ma-50	815	2	q‖2	q‖2	PROPN
ma-50	815	3	+	+	CCONJ
ma-50	815	4	`	`	PUNCT
ma-50	815	5	4∑	4∑	NUM
ma-50	815	6	j=2	j=2	PROPN
ma-50	815	7	α3n	α3n	PROPN
ma-50	815	8	,	,	PUNCT
ma-50	815	9	j(ρ	j(ρ	PROPN
ma-50	815	10	j)2	j)2	VERB
ma-50	815	11	j−1∏	j−1∏	ADP
ma-50	815	12	i=1	i=1	PROPN
ma-50	815	13	(	(	PUNCT
ma-50	815	14	1−	1−	NUM
ma-50	815	15	α3n	α3n	PROPN
ma-50	815	16	,	,	PUNCT
ma-50	815	17	i)‖v4n	i)‖v4n	NOUN
ma-50	815	18	−	−	PROPN
ma-50	815	19	q‖2	q‖2	VERB
ma-50	816	1	+	+	CCONJ
ma-50	816	2	`	`	PUNCT
ma-50	816	3	4∏	4∏	NUM
ma-50	816	4	i=1	i=1	X
ma-50	816	5	(	(	PUNCT
ma-50	816	6	1−	1−	NUM
ma-50	816	7	α4n	α4n	NOUN
ma-50	816	8	,	,	PUNCT
ma-50	816	9	i)(ρj)2‖v4n	i)(ρj)2‖v4n	PROPN
ma-50	816	10	−	−	PROPN
ma-50	816	11	q‖2	q‖2	VERB
ma-50	816	12	]	]	PUNCT
ma-50	817	1	+	+	CCONJ
ma-50	817	2	(	(	PUNCT
ma-50	817	3	`	`	PUNCT
ma-50	817	4	2∑	2∑	X
ma-50	817	5	j=2	j=2	X
ma-50	817	6	α1n	α1n	PROPN
ma-50	817	7	,	,	PUNCT
ma-50	817	8	j(ρ	j(ρ	PROPN
ma-50	817	9	j)2	j)2	VERB
ma-50	817	10	j−1∏	j−1∏	ADP
ma-50	817	11	i=1	i=1	PROPN
ma-50	817	12	(	(	PUNCT
ma-50	817	13	1−	1−	NUM
ma-50	817	14	α1n	α1n	PROPN
ma-50	817	15	,	,	PUNCT
ma-50	817	16	i	i	NOUN
ma-50	817	17	)	)	PUNCT
ma-50	817	18	)	)	PUNCT
ma-50	817	19	(	(	PUNCT
ma-50	817	20	`	`	PUNCT
ma-50	817	21	3∏	3∏	NUM
ma-50	817	22	i=1	i=1	X
ma-50	817	23	(	(	PUNCT
ma-50	817	24	1−	1−	NUM
ma-50	817	25	α2n	α2n	PROPN
ma-50	817	26	,	,	PUNCT
ma-50	817	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	817	28	)	)	PUNCT
ma-50	817	29	[	[	PUNCT
ma-50	817	30	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	817	31	−	−	NOUN
ma-50	817	32	q‖2	q‖2	NOUN
ma-50	817	33	+	+	CCONJ
ma-50	817	34	`	`	PUNCT
ma-50	817	35	4∑	4∑	NUM
ma-50	817	36	j=2	j=2	PROPN
ma-50	817	37	α3n	α3n	PROPN
ma-50	817	38	,	,	PUNCT
ma-50	817	39	j(ρ	j(ρ	PROPN
ma-50	817	40	j)2	j)2	VERB
ma-50	817	41	j−1∏	j−1∏	ADP
ma-50	817	42	i=1	i=1	PROPN
ma-50	817	43	(	(	PUNCT
ma-50	817	44	1−	1−	NUM
ma-50	817	45	α3n	α3n	PROPN
ma-50	817	46	,	,	PUNCT
ma-50	817	47	i)‖v4n	i)‖v4n	NOUN
ma-50	817	48	−	−	PROPN
ma-50	818	1	q‖2	q‖2	VERB
ma-50	818	2	+	+	CCONJ
ma-50	818	3	`	`	PUNCT
ma-50	818	4	4∏	4∏	NUM
ma-50	818	5	i=1	i=1	X
ma-50	818	6	(	(	PUNCT
ma-50	818	7	1−	1−	NUM
ma-50	818	8	α4n	α4n	NOUN
ma-50	818	9	,	,	PUNCT
ma-50	818	10	i)(ρj)2‖v4n	i)(ρj)2‖v4n	PROPN
ma-50	818	11	−	−	PROPN
ma-50	818	12	q‖2	q‖2	VERB
ma-50	818	13	]	]	PUNCT
ma-50	819	1	+	+	CCONJ
ma-50	819	2			PROPN
ma-50	819	3	`	`	PUNCT
ma-50	819	4	3∑	3∑	PROPN
ma-50	819	5	j=2	j=2	PROPN
ma-50	819	6	α2n	α2n	PROPN
ma-50	819	7	,	,	PUNCT
ma-50	819	8	j(ρ	j(ρ	PROPN
ma-50	819	9	j)2	j)2	VERB
ma-50	819	10	j−1∏	j−1∏	ADP
ma-50	819	11	i=1	i=1	PROPN
ma-50	819	12	(	(	PUNCT
ma-50	819	13	1−	1−	NUM
ma-50	819	14	α2n	α2n	PROPN
ma-50	819	15	,	,	PUNCT
ma-50	819	16	i	i	NOUN
ma-50	819	17	)	)	PUNCT
ma-50	819	18			PROPN
ma-50	819	19	(	(	PUNCT
ma-50	819	20	`	`	PUNCT
ma-50	819	21	2∏	2∏	NUM
ma-50	819	22	i=1	i=1	PROPN
ma-50	819	23	(	(	PUNCT
ma-50	819	24	1−	1−	NUM
ma-50	819	25	α1n	α1n	NOUN
ma-50	819	26	,	,	PUNCT
ma-50	819	27	i)(ρj)2	i)(ρj)2	ADJ
ma-50	819	28	)	)	PUNCT
ma-50	819	29	[	[	PUNCT
ma-50	819	30	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	819	31	−	−	NOUN
ma-50	819	32	q‖2	q‖2	NOUN
ma-50	819	33	+	+	CCONJ
ma-50	819	34	`	`	PUNCT
ma-50	819	35	4∑	4∑	NUM
ma-50	819	36	j=2	j=2	PROPN
ma-50	819	37	α3n	α3n	PROPN
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ma-50	819	39	j(ρ	j(ρ	PROPN
ma-50	819	40	j)2	j)2	VERB
ma-50	819	41	j−1∏	j−1∏	ADP
ma-50	819	42	i=1	i=1	PROPN
ma-50	819	43	(	(	PUNCT
ma-50	819	44	1−	1−	NUM
ma-50	819	45	α3n	α3n	PROPN
ma-50	819	46	,	,	PUNCT
ma-50	819	47	i)‖v4n	i)‖v4n	NOUN
ma-50	819	48	−	−	PROPN
ma-50	819	49	q‖2	q‖2	VERB
ma-50	819	50	+	+	CCONJ
ma-50	819	51	`	`	PUNCT
ma-50	819	52	4∏	4∏	NUM
ma-50	819	53	i=1	i=1	X
ma-50	819	54	(	(	PUNCT
ma-50	819	55	1−	1−	NUM
ma-50	819	56	α4n	α4n	NOUN
ma-50	819	57	,	,	PUNCT
ma-50	819	58	i)(ρj)2‖v4n	i)(ρj)2‖v4n	PROPN
ma-50	819	59	−	−	PROPN
ma-50	819	60	q‖2	q‖2	VERB
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ma-50	820	1	+	+	CCONJ
ma-50	820	2	(	(	PUNCT
ma-50	820	3	`	`	PUNCT
ma-50	820	4	3∏	3∏	NUM
ma-50	820	5	i=1	i=1	X
ma-50	820	6	(	(	PUNCT
ma-50	820	7	1−	1−	NUM
ma-50	820	8	α2n	α2n	PROPN
ma-50	820	9	,	,	PUNCT
ma-50	820	10	i)(ρj)2	i)(ρj)2	ADJ
ma-50	820	11	)	)	PUNCT
ma-50	820	12	(	(	PUNCT
ma-50	820	13	`	`	PUNCT
ma-50	820	14	2∏	2∏	NUM
ma-50	820	15	i=1	i=1	PROPN
ma-50	820	16	(	(	PUNCT
ma-50	820	17	1−	1−	NUM
ma-50	820	18	α1n	α1n	NOUN
ma-50	820	19	,	,	PUNCT
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ma-50	820	21	)	)	PUNCT
ma-50	820	22	[	[	PUNCT
ma-50	820	23	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	820	24	−	−	NOUN
ma-50	820	25	q‖2	q‖2	NOUN
ma-50	820	26	+	+	CCONJ
ma-50	820	27	`	`	PUNCT
ma-50	820	28	4∑	4∑	NUM
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ma-50	820	34	j−1∏	j−1∏	ADP
ma-50	820	35	i=1	i=1	PROPN
ma-50	820	36	(	(	PUNCT
ma-50	820	37	1−	1−	NUM
ma-50	820	38	α3n	α3n	PROPN
ma-50	820	39	,	,	PUNCT
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ma-50	820	41	−	−	PROPN
ma-50	820	42	q‖2	q‖2	VERB
ma-50	821	1	+	+	CCONJ
ma-50	821	2	`	`	PUNCT
ma-50	821	3	4∏	4∏	NUM
ma-50	821	4	i=1	i=1	X
ma-50	821	5	(	(	PUNCT
ma-50	821	6	1−	1−	NUM
ma-50	821	7	α4n	α4n	NOUN
ma-50	821	8	,	,	PUNCT
ma-50	821	9	i)(ρj)2‖v4n	i)(ρj)2‖v4n	PROPN
ma-50	821	10	−	−	PROPN
ma-50	821	11	q‖2	q‖2	VERB
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ma-50	821	16	q‖2	q‖2	VERB
ma-50	822	1	+	+	CCONJ
ma-50	822	2	`	`	PUNCT
ma-50	822	3	2∑	2∑	NUM
ma-50	822	4	j=2	j=2	PROPN
ma-50	822	5	α1n	α1n	PROPN
ma-50	822	6	,	,	PUNCT
ma-50	822	7	j(ρ	j(ρ	PROPN
ma-50	822	8	j)2	j)2	VERB
ma-50	822	9	j−1∏	j−1∏	ADP
ma-50	822	10	i=1	i=1	PROPN
ma-50	822	11	(	(	PUNCT
ma-50	822	12	1−	1−	NUM
ma-50	822	13	α1n	α1n	NOUN
ma-50	822	14	,	,	PUNCT
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ma-50	822	16	−	−	PROPN
ma-50	822	17	q‖2	q‖2	VERB
ma-50	823	1	+	+	CCONJ
ma-50	823	2	`	`	PUNCT
ma-50	823	3	2∏	2∏	NUM
ma-50	823	4	i=1	i=1	PROPN
ma-50	823	5	(	(	PUNCT
ma-50	823	6	1−	1−	NUM
ma-50	823	7	α1n	α1n	PROPN
ma-50	823	8	,	,	PUNCT
ma-50	823	9	i)(ρj)2α2n,1‖tn	i)(ρj)2α2n,1‖tn	NOUN
ma-50	823	10	−	−	PROPN
ma-50	823	11	q‖2	q‖2	VERB
ma-50	823	12	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
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ma-50	826	7	+	+	CCONJ
ma-50	826	8	(	(	PUNCT
ma-50	826	9	`	`	PUNCT
ma-50	826	10	2∑	2∑	X
ma-50	826	11	j=2	j=2	X
ma-50	826	12	α1n	α1n	PROPN
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ma-50	826	14	j(ρ	j(ρ	PROPN
ma-50	826	15	j)2	j)2	VERB
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ma-50	826	17	i=1	i=1	PROPN
ma-50	827	1	(	(	PUNCT
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ma-50	827	3	α1n	α1n	PROPN
ma-50	827	4	,	,	PUNCT
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ma-50	828	1			PROPN
ma-50	828	2	`	`	PUNCT
ma-50	828	3	3∑	3∑	PROPN
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ma-50	828	6	,	,	PUNCT
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ma-50	828	8	j)2	j)2	VERB
ma-50	828	9	j−1∏	j−1∏	ADP
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ma-50	828	11	(	(	PUNCT
ma-50	828	12	1−	1−	NUM
ma-50	828	13	α2n	α2n	PROPN
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ma-50	828	17	α3n,1‖tn	α3n,1‖tn	PUNCT
ma-50	829	1	−	−	NOUN
ma-50	829	2	q‖2	q‖2	VERB
ma-50	829	3	+	+	CCONJ
ma-50	829	4	(	(	PUNCT
ma-50	829	5	`	`	PUNCT
ma-50	829	6	2∑	2∑	X
ma-50	829	7	j=2	j=2	X
ma-50	829	8	α1n	α1n	PROPN
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ma-50	830	2	i=1	i=1	PROPN
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ma-50	831	4	,	,	PUNCT
ma-50	831	5	i	i	NOUN
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ma-50	831	7	)	)	PUNCT
ma-50	832	1			PROPN
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ma-50	832	3	3∑	3∑	PROPN
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ma-50	832	6	,	,	PUNCT
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ma-50	832	14	,	,	PUNCT
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ma-50	833	1			PROPN
ma-50	833	2	×	×	NOUN
ma-50	833	3			PROPN
ma-50	833	4	`	`	PUNCT
ma-50	833	5	4∑	4∑	PROPN
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ma-50	833	12	i=1	i=1	PROPN
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ma-50	833	14	1−	1−	NUM
ma-50	833	15	α3n	α3n	PROPN
ma-50	833	16	,	,	PUNCT
ma-50	833	17	i	i	NOUN
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ma-50	834	1	q‖2	q‖2	VERB
ma-50	835	1	+	+	CCONJ
ma-50	835	2	(	(	PUNCT
ma-50	835	3	`	`	PUNCT
ma-50	835	4	2∑	2∑	X
ma-50	835	5	j=2	j=2	X
ma-50	835	6	α1n	α1n	PROPN
ma-50	835	7	,	,	PUNCT
ma-50	835	8	j(ρ	j(ρ	PROPN
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ma-50	835	10	j−1∏	j−1∏	ADP
ma-50	835	11	i=1	i=1	PROPN
ma-50	835	12	(	(	PUNCT
ma-50	835	13	1−	1−	NUM
ma-50	835	14	α1n	α1n	PROPN
ma-50	835	15	,	,	PUNCT
ma-50	835	16	i	i	NOUN
ma-50	835	17	)	)	PUNCT
ma-50	835	18	)	)	PUNCT
ma-50	836	1	×	×	PROPN
ma-50	836	2			PROPN
ma-50	836	3	`	`	PUNCT
ma-50	836	4	3∑	3∑	PROPN
ma-50	836	5	j=2	j=2	PROPN
ma-50	836	6	α2n	α2n	PROPN
ma-50	836	7	,	,	PUNCT
ma-50	836	8	j(ρ	j(ρ	PROPN
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ma-50	836	10	j−1∏	j−1∏	ADP
ma-50	836	11	i=1	i=1	PROPN
ma-50	836	12	(	(	PUNCT
ma-50	836	13	1−	1−	NUM
ma-50	836	14	α2n	α2n	PROPN
ma-50	836	15	,	,	PUNCT
ma-50	836	16	i	i	NOUN
ma-50	836	17	)	)	PUNCT
ma-50	836	18			PROPN
ma-50	836	19	(	(	PUNCT
ma-50	836	20	`	`	PUNCT
ma-50	836	21	4∏	4∏	NUM
ma-50	836	22	i=1	i=1	X
ma-50	836	23	(	(	PUNCT
ma-50	836	24	1−	1−	NUM
ma-50	836	25	α4n	α4n	NUM
ma-50	836	26	,	,	PUNCT
ma-50	836	27	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	836	30	−	−	PROPN
ma-50	836	31	q‖2	q‖2	PROPN
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ma-50	836	35	2∑	2∑	X
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ma-50	836	39	j(ρ	j(ρ	PROPN
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ma-50	837	2	i=1	i=1	PROPN
ma-50	838	1	(	(	PUNCT
ma-50	838	2	1−	1−	NUM
ma-50	838	3	α1n	α1n	PROPN
ma-50	838	4	,	,	PUNCT
ma-50	838	5	i	i	NOUN
ma-50	838	6	)	)	PUNCT
ma-50	838	7	)	)	PUNCT
ma-50	839	1	(	(	PUNCT
ma-50	839	2	`	`	PUNCT
ma-50	839	3	3∏	3∏	NUM
ma-50	839	4	i=1	i=1	X
ma-50	839	5	(	(	PUNCT
ma-50	839	6	1−	1−	NUM
ma-50	839	7	α2n	α2n	PROPN
ma-50	839	8	,	,	PUNCT
ma-50	839	9	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	839	12	−	−	NOUN
ma-50	840	1	q‖2	q‖2	PROPN
ma-50	841	1	+	+	CCONJ
ma-50	841	2	(	(	PUNCT
ma-50	841	3	`	`	PUNCT
ma-50	841	4	2∑	2∑	X
ma-50	841	5	j=2	j=2	X
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ma-50	841	7	,	,	PUNCT
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ma-50	841	9	j)2	j)2	VERB
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ma-50	841	11	i=1	i=1	PROPN
ma-50	841	12	(	(	PUNCT
ma-50	841	13	1−	1−	NUM
ma-50	841	14	α1n	α1n	PROPN
ma-50	841	15	,	,	PUNCT
ma-50	841	16	i	i	NOUN
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ma-50	841	18	)	)	PUNCT
ma-50	841	19	(	(	PUNCT
ma-50	841	20	`	`	PUNCT
ma-50	841	21	3∏	3∏	NUM
ma-50	841	22	i=1	i=1	X
ma-50	841	23	(	(	PUNCT
ma-50	841	24	1−	1−	NUM
ma-50	841	25	α2n	α2n	PROPN
ma-50	841	26	,	,	PUNCT
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ma-50	841	39	(	(	PUNCT
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ma-50	842	1	q‖2	q‖2	VERB
ma-50	843	1	+	+	CCONJ
ma-50	843	2	(	(	PUNCT
ma-50	843	3	`	`	PUNCT
ma-50	843	4	2∑	2∑	X
ma-50	843	5	j=2	j=2	X
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ma-50	843	7	,	,	PUNCT
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ma-50	843	11	i=1	i=1	PROPN
ma-50	843	12	(	(	PUNCT
ma-50	843	13	1−	1−	NUM
ma-50	843	14	α1n	α1n	PROPN
ma-50	843	15	,	,	PUNCT
ma-50	843	16	i	i	NOUN
ma-50	843	17	)	)	PUNCT
ma-50	843	18	)	)	PUNCT
ma-50	843	19	(	(	PUNCT
ma-50	843	20	`	`	PUNCT
ma-50	843	21	3∏	3∏	NUM
ma-50	843	22	i=1	i=1	X
ma-50	843	23	(	(	PUNCT
ma-50	843	24	1−	1−	NUM
ma-50	843	25	α2n	α2n	PROPN
ma-50	843	26	,	,	PUNCT
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ma-50	843	29	(	(	PUNCT
ma-50	843	30	`	`	PUNCT
ma-50	843	31	4∏	4∏	NUM
ma-50	843	32	i=1	i=1	X
ma-50	843	33	(	(	PUNCT
ma-50	843	34	1−	1−	NUM
ma-50	843	35	α4n	α4n	NUM
ma-50	843	36	,	,	PUNCT
ma-50	843	37	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	843	39	‖v4n	‖v4n	PROPN
ma-50	843	40	−	−	PROPN
ma-50	843	41	q‖2	q‖2	VERB
ma-50	844	1	+	+	CCONJ
ma-50	844	2			PROPN
ma-50	844	3	`	`	PUNCT
ma-50	844	4	3∑	3∑	PROPN
ma-50	844	5	j=2	j=2	PROPN
ma-50	844	6	α2n	α2n	PROPN
ma-50	844	7	,	,	PUNCT
ma-50	844	8	j(ρ	j(ρ	PROPN
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ma-50	844	10	j−1∏	j−1∏	ADP
ma-50	844	11	i=1	i=1	PROPN
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ma-50	844	13	1−	1−	NUM
ma-50	844	14	α2n	α2n	PROPN
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ma-50	844	16	i	i	NOUN
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ma-50	844	18			PROPN
ma-50	844	19	(	(	PUNCT
ma-50	844	20	`	`	PUNCT
ma-50	844	21	2∏	2∏	NUM
ma-50	844	22	i=1	i=1	PROPN
ma-50	844	23	(	(	PUNCT
ma-50	844	24	1−	1−	NUM
ma-50	844	25	α1n	α1n	NOUN
ma-50	844	26	,	,	PUNCT
ma-50	844	27	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	844	29	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	845	1	−	−	NOUN
ma-50	845	2	q‖2	q‖2	NOUN
ma-50	845	3	+	+	CCONJ
ma-50	845	4			PROPN
ma-50	845	5	`	`	PUNCT
ma-50	845	6	3∑	3∑	PROPN
ma-50	845	7	j=2	j=2	PROPN
ma-50	845	8	α2n	α2n	PROPN
ma-50	845	9	,	,	PUNCT
ma-50	845	10	j(ρ	j(ρ	PROPN
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ma-50	845	13	i=1	i=1	PROPN
ma-50	845	14	(	(	PUNCT
ma-50	845	15	1−	1−	NUM
ma-50	845	16	α2n	α2n	PROPN
ma-50	845	17	,	,	PUNCT
ma-50	845	18	i	i	NOUN
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ma-50	845	20			PROPN
ma-50	845	21	(	(	PUNCT
ma-50	845	22	`	`	PUNCT
ma-50	845	23	2∏	2∏	NUM
ma-50	845	24	i=1	i=1	PROPN
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ma-50	845	26	1−	1−	NUM
ma-50	845	27	α1n	α1n	NOUN
ma-50	845	28	,	,	PUNCT
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ma-50	845	32	`	`	PUNCT
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ma-50	845	43	α3n	α3n	PROPN
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ma-50	845	47			PROPN
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ma-50	847	1	+	+	CCONJ
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ma-50	847	9	j)2	j)2	VERB
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ma-50	847	11	i=1	i=1	PROPN
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ma-50	847	13	1−	1−	NUM
ma-50	847	14	α2n	α2n	PROPN
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ma-50	847	21	2∏	2∏	NUM
ma-50	847	22	i=1	i=1	PROPN
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ma-50	847	24	1−	1−	NUM
ma-50	847	25	α1n	α1n	NOUN
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ma-50	847	29	(	(	PUNCT
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ma-50	847	31	4∏	4∏	NUM
ma-50	847	32	i=1	i=1	X
ma-50	847	33	(	(	PUNCT
ma-50	847	34	1−	1−	NUM
ma-50	847	35	α4n	α4n	NUM
ma-50	847	36	,	,	PUNCT
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ma-50	847	40	−	−	PROPN
ma-50	848	1	q‖2	q‖2	PROPN
ma-50	849	1	+	+	CCONJ
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ma-50	849	3	`	`	PUNCT
ma-50	849	4	3∏	3∏	NUM
ma-50	849	5	i=1	i=1	X
ma-50	849	6	(	(	PUNCT
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ma-50	849	8	α2n	α2n	PROPN
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ma-50	849	14	2∏	2∏	NUM
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ma-50	850	10	α2n	α2n	PROPN
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ma-50	850	26	4∑	4∑	NUM
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ma-50	852	18	2∏	2∏	NUM
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ma-50	910	11	(	(	PUNCT
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ma-50	911	1	+	+	CCONJ
ma-50	911	2	`	`	PUNCT
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ma-50	911	8	,	,	PUNCT
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ma-50	911	11	q‖2	q‖2	VERB
ma-50	911	12	+	+	CCONJ
ma-50	911	13	(	(	PUNCT
ma-50	911	14	`	`	PUNCT
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ma-50	911	22	i=1	i=1	PROPN
ma-50	912	1	(	(	PUNCT
ma-50	912	2	1−	1−	NUM
ma-50	912	3	α1n	α1n	PROPN
ma-50	912	4	,	,	PUNCT
ma-50	912	5	i	i	NOUN
ma-50	912	6	)	)	PUNCT
ma-50	912	7	)	)	PUNCT
ma-50	913	1			PROPN
ma-50	913	2	`	`	PUNCT
ma-50	913	3	3∑	3∑	PROPN
ma-50	913	4	j=2	j=2	PROPN
ma-50	913	5	α2n	α2n	PROPN
ma-50	913	6	,	,	PUNCT
ma-50	913	7	j(ρ	j(ρ	PROPN
ma-50	913	8	j)2	j)2	VERB
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ma-50	913	10	i=1	i=1	PROPN
ma-50	913	11	(	(	PUNCT
ma-50	913	12	1−	1−	NUM
ma-50	913	13	α2n	α2n	PROPN
ma-50	913	14	,	,	PUNCT
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ma-50	913	16	)	)	PUNCT
ma-50	913	17	α3n,1‖tn	α3n,1‖tn	PUNCT
ma-50	914	1	−	−	NOUN
ma-50	914	2	q‖2	q‖2	VERB
ma-50	914	3	+	+	CCONJ
ma-50	914	4	(	(	PUNCT
ma-50	914	5	`	`	PUNCT
ma-50	914	6	2∑	2∑	X
ma-50	914	7	j=2	j=2	X
ma-50	914	8	α1n	α1n	PROPN
ma-50	914	9	,	,	PUNCT
ma-50	914	10	j(ρ	j(ρ	PROPN
ma-50	914	11	j)2	j)2	VERB
ma-50	915	1	j−1∏	j−1∏	ADP
ma-50	915	2	i=1	i=1	PROPN
ma-50	916	1	(	(	PUNCT
ma-50	916	2	1−	1−	NUM
ma-50	916	3	α1n	α1n	PROPN
ma-50	916	4	,	,	PUNCT
ma-50	916	5	i	i	NOUN
ma-50	916	6	)	)	PUNCT
ma-50	916	7	)	)	PUNCT
ma-50	917	1	(	(	PUNCT
ma-50	917	2	`	`	PUNCT
ma-50	917	3	3∏	3∏	NUM
ma-50	917	4	i=1	i=1	X
ma-50	917	5	(	(	PUNCT
ma-50	917	6	1−	1−	NUM
ma-50	917	7	α2n	α2n	PROPN
ma-50	917	8	,	,	PUNCT
ma-50	917	9	i)(ρj)2	i)(ρj)2	ADJ
ma-50	917	10	)	)	PUNCT
ma-50	917	11	‖tn	‖tn	NUM
ma-50	917	12	−	−	NOUN
ma-50	917	13	q‖2	q‖2	NOUN
ma-50	917	14	+	+	CCONJ
ma-50	917	15			PROPN
ma-50	917	16	`	`	PUNCT
ma-50	917	17	3∑	3∑	PROPN
ma-50	917	18	j=2	j=2	PROPN
ma-50	917	19	α2n	α2n	PROPN
ma-50	917	20	,	,	PUNCT
ma-50	917	21	j(ρ	j(ρ	PROPN
ma-50	917	22	j)2	j)2	VERB
ma-50	917	23	j−1∏	j−1∏	ADP
ma-50	917	24	i=1	i=1	PROPN
ma-50	917	25	(	(	PUNCT
ma-50	917	26	1−	1−	NUM
ma-50	917	27	α2n	α2n	PROPN
ma-50	917	28	,	,	PUNCT
ma-50	917	29	i	i	NOUN
ma-50	917	30	)	)	PUNCT
ma-50	917	31			PROPN
ma-50	917	32	(	(	PUNCT
ma-50	917	33	`	`	PUNCT
ma-50	917	34	2∏	2∏	NUM
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ma-50	917	36	(	(	PUNCT
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ma-50	917	38	α1n	α1n	NOUN
ma-50	917	39	,	,	PUNCT
ma-50	917	40	i)(ρj)2	i)(ρj)2	ADJ
ma-50	917	41	)	)	PUNCT
ma-50	917	42	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	918	1	−	−	NOUN
ma-50	918	2	q‖2	q‖2	VERB
ma-50	918	3	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
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ma-50	918	5	.	.	PUNCT
ma-50	919	1	j.	j.	PROPN
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ma-50	919	3	.	.	PUNCT
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ma-50	920	2	.	.	PUNCT
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ma-50	921	4	/	/	SYM
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ma-50	921	7	+	+	CCONJ
ma-50	921	8	(	(	PUNCT
ma-50	921	9	`	`	PUNCT
ma-50	921	10	3∏	3∏	NUM
ma-50	921	11	i=1	i=1	X
ma-50	921	12	(	(	PUNCT
ma-50	921	13	1−	1−	NUM
ma-50	921	14	α2n	α2n	PROPN
ma-50	921	15	,	,	PUNCT
ma-50	921	16	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	921	18	(	(	PUNCT
ma-50	921	19	`	`	PUNCT
ma-50	921	20	2∏	2∏	NUM
ma-50	921	21	i=1	i=1	PROPN
ma-50	921	22	(	(	PUNCT
ma-50	921	23	1−	1−	NUM
ma-50	921	24	α1n	α1n	NOUN
ma-50	921	25	,	,	PUNCT
ma-50	921	26	i)(ρj)2	i)(ρj)2	ADJ
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ma-50	921	28	α3n,1‖tn	α3n,1‖tn	NUM
ma-50	922	1	−	−	NOUN
ma-50	922	2	q‖2	q‖2	VERB
ma-50	922	3	+	+	CCONJ
ma-50	922	4	(	(	PUNCT
ma-50	922	5	`	`	PUNCT
ma-50	922	6	2∑	2∑	X
ma-50	922	7	j=2	j=2	X
ma-50	922	8	α1n	α1n	PROPN
ma-50	922	9	,	,	PUNCT
ma-50	922	10	j(ρ	j(ρ	PROPN
ma-50	922	11	j)2	j)2	VERB
ma-50	923	1	j−1∏	j−1∏	ADP
ma-50	923	2	i=1	i=1	PROPN
ma-50	924	1	(	(	PUNCT
ma-50	924	2	1−	1−	NUM
ma-50	924	3	α1n	α1n	PROPN
ma-50	924	4	,	,	PUNCT
ma-50	924	5	i	i	NOUN
ma-50	924	6	)	)	PUNCT
ma-50	924	7	)	)	PUNCT
ma-50	925	1			PROPN
ma-50	925	2	`	`	PUNCT
ma-50	925	3	3∑	3∑	PROPN
ma-50	925	4	j=2	j=2	PROPN
ma-50	925	5	α2n	α2n	PROPN
ma-50	925	6	,	,	PUNCT
ma-50	925	7	j(ρ	j(ρ	PROPN
ma-50	925	8	j)2	j)2	VERB
ma-50	925	9	j−1∏	j−1∏	ADP
ma-50	925	10	i=1	i=1	PROPN
ma-50	925	11	(	(	PUNCT
ma-50	925	12	1−	1−	NUM
ma-50	925	13	α2n	α2n	PROPN
ma-50	925	14	,	,	PUNCT
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ma-50	925	16	)	)	PUNCT
ma-50	926	1	α3n,1(1−	α3n,1(1−	PROPN
ma-50	926	2	α3n,1)(ρj)2‖tn	α3n,1)(ρj)2‖tn	PROPN
ma-50	926	3	−	−	PROPN
ma-50	927	1	q‖2	q‖2	VERB
ma-50	927	2	+	+	CCONJ
ma-50	927	3	(	(	PUNCT
ma-50	927	4	`	`	PUNCT
ma-50	927	5	2∑	2∑	X
ma-50	927	6	j=2	j=2	X
ma-50	927	7	α1n	α1n	PROPN
ma-50	927	8	,	,	PUNCT
ma-50	927	9	j(ρ	j(ρ	PROPN
ma-50	927	10	j)2	j)2	VERB
ma-50	928	1	j−1∏	j−1∏	ADP
ma-50	928	2	i=1	i=1	PROPN
ma-50	929	1	(	(	PUNCT
ma-50	929	2	1−	1−	NUM
ma-50	929	3	α1n	α1n	PROPN
ma-50	929	4	,	,	PUNCT
ma-50	929	5	i	i	NOUN
ma-50	929	6	)	)	PUNCT
ma-50	929	7	)	)	PUNCT
ma-50	930	1	(	(	PUNCT
ma-50	930	2	`	`	PUNCT
ma-50	930	3	3∏	3∏	NUM
ma-50	930	4	i=1	i=1	X
ma-50	930	5	(	(	PUNCT
ma-50	930	6	1−	1−	NUM
ma-50	930	7	α2n	α2n	PROPN
ma-50	930	8	,	,	PUNCT
ma-50	930	9	i)(ρj)2	i)(ρj)2	VERB
ma-50	930	10	)	)	PUNCT
ma-50	930	11	α3n,1(1−	α3n,1(1−	DET
ma-50	930	12	α3n,1)(ρj)2)‖tn	α3n,1)(ρj)2)‖tn	NOUN
ma-50	930	13	−	−	PROPN
ma-50	930	14	q‖2	q‖2	VERB
ma-50	931	1	+	+	CCONJ
ma-50	931	2			PROPN
ma-50	931	3	`	`	PUNCT
ma-50	931	4	3∑	3∑	PROPN
ma-50	931	5	j=2	j=2	PROPN
ma-50	931	6	α2n	α2n	PROPN
ma-50	931	7	,	,	PUNCT
ma-50	931	8	j(ρ	j(ρ	PROPN
ma-50	931	9	j)2	j)2	VERB
ma-50	931	10	j−1∏	j−1∏	ADP
ma-50	931	11	i=1	i=1	PROPN
ma-50	931	12	(	(	PUNCT
ma-50	931	13	1−	1−	NUM
ma-50	931	14	α2n	α2n	PROPN
ma-50	931	15	,	,	PUNCT
ma-50	931	16	i	i	NOUN
ma-50	931	17	)	)	PUNCT
ma-50	931	18			PROPN
ma-50	931	19	(	(	PUNCT
ma-50	931	20	`	`	PUNCT
ma-50	931	21	2∏	2∏	NUM
ma-50	931	22	i=1	i=1	PROPN
ma-50	931	23	(	(	PUNCT
ma-50	931	24	1−	1−	NUM
ma-50	931	25	α1n	α1n	NOUN
ma-50	931	26	,	,	PUNCT
ma-50	931	27	i)(ρj)2	i)(ρj)2	VERB
ma-50	931	28	)	)	PUNCT
ma-50	932	1	α3n,1(1−	α3n,1(1−	DET
ma-50	932	2	α3n,1)(ρj)2)‖tn	α3n,1)(ρj)2)‖tn	NOUN
ma-50	932	3	−	−	PROPN
ma-50	932	4	q‖2	q‖2	VERB
ma-50	932	5	+	+	CCONJ
ma-50	932	6	(	(	PUNCT
ma-50	932	7	`	`	PUNCT
ma-50	932	8	3∏	3∏	NUM
ma-50	932	9	i=1	i=1	X
ma-50	932	10	(	(	PUNCT
ma-50	932	11	1−	1−	NUM
ma-50	932	12	α2n	α2n	PROPN
ma-50	932	13	,	,	PUNCT
ma-50	932	14	i)(ρj)2	i)(ρj)2	ADJ
ma-50	932	15	)	)	PUNCT
ma-50	932	16	(	(	PUNCT
ma-50	932	17	`	`	PUNCT
ma-50	932	18	2∏	2∏	NUM
ma-50	932	19	i=1	i=1	PROPN
ma-50	932	20	(	(	PUNCT
ma-50	932	21	1−	1−	NUM
ma-50	932	22	α1n	α1n	NOUN
ma-50	932	23	,	,	PUNCT
ma-50	932	24	i)(ρj)2	i)(ρj)2	VERB
ma-50	932	25	)	)	PUNCT
ma-50	932	26	α3n,1(1−	α3n,1(1−	NUM
ma-50	932	27	α3n,1)(ρj)2‖tn	α3n,1)(ρj)2‖tn	NOUN
ma-50	932	28	−	−	PROPN
ma-50	932	29	q‖2	q‖2	PROPN
ma-50	932	30	+	+	CCONJ
ma-50	932	31	·	·	PUNCT
ma-50	932	32	·	·	PUNCT
ma-50	932	33	·	·	PUNCT
ma-50	933	1	+	+	CCONJ
ma-50	933	2			PROPN
ma-50	933	3	`	`	PUNCT
ma-50	933	4	2∑	2∑	NUM
ma-50	933	5	j=2	j=2	X
ma-50	933	6	α1n	α1n	PROPN
ma-50	933	7	,	,	PUNCT
ma-50	933	8	j(ρ	j(ρ	PROPN
ma-50	933	9	j)2	j)2	VERB
ma-50	933	10	j−1∏	j−1∏	ADP
ma-50	933	11	i=1	i=1	PROPN
ma-50	933	12	(	(	PUNCT
ma-50	933	13	1−	1−	NUM
ma-50	933	14	α1n	α1n	PROPN
ma-50	933	15	,	,	PUNCT
ma-50	933	16	i	i	NOUN
ma-50	933	17	)	)	PUNCT
ma-50	933	18			PUNCT
ma-50	934	1	`	`	PUNCT
ma-50	934	2	3∑	3∑	NUM
ma-50	934	3	j=2	j=2	PROPN
ma-50	934	4	α2n	α2n	PROPN
ma-50	934	5	,	,	PUNCT
ma-50	934	6	j(ρ	j(ρ	PROPN
ma-50	934	7	j)2	j)2	VERB
ma-50	934	8	j−1∏	j−1∏	ADP
ma-50	934	9	i=1	i=1	PROPN
ma-50	934	10	(	(	PUNCT
ma-50	934	11	1−	1−	NUM
ma-50	934	12	α2n	α2n	PROPN
ma-50	934	13	,	,	PUNCT
ma-50	934	14	i	i	PRON
ma-50	934	15	)	)	PUNCT
ma-50	935	1			PROPN
ma-50	935	2	×	×	NOUN
ma-50	935	3			PROPN
ma-50	935	4	`	`	PUNCT
ma-50	935	5	4∑	4∑	PROPN
ma-50	935	6	j=2	j=2	PROPN
ma-50	935	7	α3n	α3n	PROPN
ma-50	935	8	,	,	PUNCT
ma-50	935	9	j(ρ	j(ρ	PROPN
ma-50	935	10	j)3	j)3	PROPN
ma-50	935	11	j−1∏	j−1∏	PROPN
ma-50	935	12	i=1	i=1	PROPN
ma-50	936	1	(	(	PUNCT
ma-50	936	2	1−	1−	NUM
ma-50	936	3	α2n	α2n	PROPN
ma-50	936	4	,	,	PUNCT
ma-50	936	5	i	i	PROPN
ma-50	936	6	)	)	PUNCT
ma-50	936	7	×	×	PROPN
ma-50	936	8	·	·	PUNCT
ma-50	936	9	·	·	PUNCT
ma-50	936	10	·	·	PUNCT
ma-50	937	1	×`s−1∑	×`s−1∑	PROPN
ma-50	937	2	j=2	j=2	PROPN
ma-50	937	3	α	α	PROPN
ma-50	937	4	`	`	PUNCT
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ma-50	937	7	,	,	PUNCT
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ma-50	937	9	(	(	PUNCT
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ma-50	937	11	j−1∏	j−1∏	PROPN
ma-50	937	12	i=1	i=1	PROPN
ma-50	938	1	(	(	PUNCT
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ma-50	938	4	,	,	PUNCT
ma-50	938	5	i	i	PRON
ma-50	938	6	)	)	PUNCT
ma-50	939	1			PROPN
ma-50	939	2	×	×	NOUN
ma-50	939	3			PROPN
ma-50	939	4	`	`	PUNCT
ma-50	939	5	s∑	s∑	PROPN
ma-50	939	6	j=2	j=2	PROPN
ma-50	939	7	α	α	NOUN
ma-50	939	8	`	`	PUNCT
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ma-50	939	11	,	,	PUNCT
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ma-50	939	13	(	(	PUNCT
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ma-50	939	16	i=1	i=1	PROPN
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ma-50	940	2	1−	1−	NUM
ma-50	940	3	α`s−1n	α`s−1n	NUM
ma-50	940	4	,	,	PUNCT
ma-50	940	5	i	i	PRON
ma-50	940	6	)	)	PUNCT
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ma-50	941	2	−	−	PROPN
ma-50	941	3	q‖2	q‖2	VERB
ma-50	941	4	+	+	CCONJ
ma-50	941	5	(	(	PUNCT
ma-50	941	6	ρj)2	ρj)2	PROPN
ma-50	941	7	(	(	PUNCT
ma-50	941	8	`	`	PUNCT
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ma-50	1012	3	1−	1−	NUM
ma-50	1012	4	α1n,1)α3n,1	α1n,1)α3n,1	NOUN
ma-50	1012	5	(	(	PUNCT
ma-50	1012	6	1−	1−	NUM
ma-50	1012	7	α2n,1	α2n,1	NUM
ma-50	1012	8	)	)	PUNCT
ma-50	1012	9	+	+	CCONJ
ma-50	1012	10	(	(	PUNCT
ma-50	1012	11	1−	1−	NUM
ma-50	1012	12	α1n,1	α1n,1	NOUN
ma-50	1012	13	)	)	PUNCT
ma-50	1012	14	(	(	PUNCT
ma-50	1012	15	1−	1−	NUM
ma-50	1012	16	α2n,1	α2n,1	NUM
ma-50	1012	17	)	)	PUNCT
ma-50	1012	18	α3n,1(1−	α3n,1(1−	NUM
ma-50	1012	19	α3n,1	α3n,1	NOUN
ma-50	1012	20	)	)	PUNCT
ma-50	1012	21	+	+	NUM
ma-50	1012	22	·	·	PUNCT
ma-50	1012	23	·	·	PUNCT
ma-50	1012	24	·	·	PUNCT
ma-50	1012	25	+	+	PUNCT
ma-50	1012	26	(	(	PUNCT
ma-50	1012	27	1−	1−	NUM
ma-50	1012	28	α1n,1	α1n,1	NOUN
ma-50	1012	29	)	)	PUNCT
ma-50	1012	30	(	(	PUNCT
ma-50	1012	31	1−	1−	NUM
ma-50	1012	32	α2n,1	α2n,1	NUM
ma-50	1012	33	)	)	PUNCT
ma-50	1012	34	(	(	PUNCT
ma-50	1012	35	1−	1−	NUM
ma-50	1012	36	α3n,1	α3n,1	NUM
ma-50	1012	37	)	)	PUNCT
ma-50	1012	38	×	×	PROPN
ma-50	1012	39	·	·	PUNCT
ma-50	1012	40	·	·	PUNCT
ma-50	1012	41	·	·	PUNCT
ma-50	1012	42	×	×	NOUN
ma-50	1012	43	(	(	PUNCT
ma-50	1012	44	1−	1−	NUM
ma-50	1012	45	α`s−2n,1	α`s−2n,1	NOUN
ma-50	1012	46	)	)	PUNCT
ma-50	1012	47	×	×	NOUN
ma-50	1012	48	(	(	PUNCT
ma-50	1012	49	1−	1−	NUM
ma-50	1012	50	α`s−1n,1	α`s−1n,1	NOUN
ma-50	1012	51	)	)	PUNCT
ma-50	1012	52	]	]	PUNCT
ma-50	1013	1	‖tn	‖tn	NUM
ma-50	1013	2	−	−	NOUN
ma-50	1013	3	q‖2	q‖2	PROPN
ma-50	1013	4	(	(	PUNCT
ma-50	1013	5	4.17	4.17	NUM
ma-50	1013	6	)	)	PUNCT
ma-50	1013	7	(	(	PUNCT
ma-50	1013	8	4.15	4.15	NUM
ma-50	1013	9	)	)	PUNCT
ma-50	1013	10	and	and	CCONJ
ma-50	1013	11	(	(	PUNCT
ma-50	1013	12	4.17	4.17	NUM
ma-50	1013	13	)	)	PUNCT
ma-50	1013	14	imply	imply	VERB
ma-50	1013	15	that	that	DET
ma-50	1013	16	‖tn+1	‖tn+1	PROPN
ma-50	1013	17	−	−	PROPN
ma-50	1013	18	q‖2	q‖2	VERB
ma-50	1013	19	≤	≤	NOUN
ma-50	1013	20	{	{	PUNCT
ma-50	1013	21	δn,1	δn,1	NOUN
ma-50	1013	22	+	+	CCONJ
ma-50	1013	23	(	(	PUNCT
ma-50	1013	24	1−	1−	NUM
ma-50	1013	25	δn,1	δn,1	NOUN
ma-50	1013	26	)	)	PUNCT
ma-50	1014	1	[	[	X
ma-50	1014	2	α1n,1	α1n,1	X
ma-50	1014	3	+	+	SYM
ma-50	1014	4	α2n,1	α2n,1	NUM
ma-50	1014	5	(	(	PUNCT
ma-50	1014	6	1−	1−	NUM
ma-50	1014	7	α1n,1	α1n,1	PROPN
ma-50	1014	8	)	)	PUNCT
ma-50	1015	1	+	+	CCONJ
ma-50	1015	2	(	(	PUNCT
ma-50	1015	3	1−	1−	NUM
ma-50	1015	4	α1n,1)α3n,1	α1n,1)α3n,1	NOUN
ma-50	1015	5	(	(	PUNCT
ma-50	1015	6	1−	1−	NUM
ma-50	1015	7	α2n,1	α2n,1	NUM
ma-50	1015	8	)	)	PUNCT
ma-50	1016	1	+	+	PROPN
ma-50	1016	2	(	(	PUNCT
ma-50	1016	3	1−	1−	NUM
ma-50	1016	4	α1n,1	α1n,1	NOUN
ma-50	1016	5	)	)	PUNCT
ma-50	1016	6	(	(	PUNCT
ma-50	1016	7	1−	1−	NUM
ma-50	1016	8	α2n,1	α2n,1	NUM
ma-50	1016	9	)	)	PUNCT
ma-50	1016	10	(	(	PUNCT
ma-50	1016	11	1−	1−	NUM
ma-50	1016	12	α3n,1	α3n,1	NUM
ma-50	1016	13	)	)	PUNCT
ma-50	1017	1	+	+	CCONJ
ma-50	1017	2	·	·	PUNCT
ma-50	1017	3	·	·	PUNCT
ma-50	1017	4	·	·	PUNCT
ma-50	1017	5	+	+	PUNCT
ma-50	1017	6	(	(	PUNCT
ma-50	1017	7	1−	1−	NUM
ma-50	1017	8	α1n,1	α1n,1	NOUN
ma-50	1017	9	)	)	PUNCT
ma-50	1017	10	(	(	PUNCT
ma-50	1017	11	1−	1−	NUM
ma-50	1017	12	α2n,1	α2n,1	NUM
ma-50	1017	13	)	)	PUNCT
ma-50	1017	14	(	(	PUNCT
ma-50	1017	15	1−	1−	NUM
ma-50	1017	16	α3n,1	α3n,1	NUM
ma-50	1017	17	)	)	PUNCT
ma-50	1017	18	×	×	PROPN
ma-50	1017	19	·	·	PUNCT
ma-50	1017	20	·	·	PUNCT
ma-50	1017	21	·	·	PUNCT
ma-50	1018	1	×	×	NOUN
ma-50	1018	2	(	(	PUNCT
ma-50	1018	3	1−	1−	NUM
ma-50	1018	4	α`s−2n,1	α`s−2n,1	NOUN
ma-50	1018	5	)	)	PUNCT
ma-50	1018	6	×	×	NOUN
ma-50	1018	7	(	(	PUNCT
ma-50	1018	8	1−	1−	NUM
ma-50	1018	9	α`s−1n,1	α`s−1n,1	NOUN
ma-50	1018	10	)	)	PUNCT
ma-50	1019	1	]	]	PUNCT
ma-50	1019	2	}	}	PUNCT
ma-50	1019	3	‖tn	‖tn	NUM
ma-50	1019	4	−	−	NOUN
ma-50	1019	5	q‖2	q‖2	PROPN
ma-50	1019	6	(	(	PUNCT
ma-50	1019	7	4.18	4.18	NUM
ma-50	1019	8	)	)	PUNCT
ma-50	1019	9	using	use	VERB
ma-50	1019	10	lemma	lemma	PROPN
ma-50	1019	11	2.3	2.3	NUM
ma-50	1019	12	,	,	PUNCT
ma-50	1019	13	we	we	PRON
ma-50	1019	14	obtain	obtain	VERB
ma-50	1019	15	(	(	PUNCT
ma-50	1019	16	from	from	ADP
ma-50	1019	17	(	(	PUNCT
ma-50	1019	18	4.18	4.18	NUM
ma-50	1019	19	)	)	PUNCT
ma-50	1019	20	)	)	PUNCT
ma-50	1019	21	that	that	SCONJ
ma-50	1019	22	the	the	DET
ma-50	1019	23	sequence	sequence	NOUN
ma-50	1019	24	{	{	PUNCT
ma-50	1019	25	xn}∞n=0	xn}∞n=0	X
ma-50	1019	26	converges	converge	VERB
ma-50	1019	27	strongly	strongly	ADV
ma-50	1019	28	to	to	ADP
ma-50	1019	29	q	q	PROPN
ma-50	1019	30	∈	∈	PROPN
ma-50	1019	31	f	f	X
ma-50	1019	32	(	(	PUNCT
ma-50	1019	33	γ).conversely	γ).conversely	ADV
ma-50	1019	34	,	,	PUNCT
ma-50	1019	35	suppose	suppose	VERB
ma-50	1019	36	tn	tn	PROPN
ma-50	1019	37	→	→	SYM
ma-50	1019	38	q	q	X
ma-50	1019	39	as	as	ADP
ma-50	1019	40	n	n	PROPN
ma-50	1019	41	→	→	SYM
ma-50	1019	42	∞.	∞.	PROPN
ma-50	1019	43	then	then	ADV
ma-50	1019	44	,	,	PUNCT
ma-50	1019	45	we	we	PRON
ma-50	1019	46	show	show	VERB
ma-50	1019	47	that	that	SCONJ
ma-50	1019	48	ε	ε	PROPN
ma-50	1019	49	→	→	SYM
ma-50	1019	50	0	0	PROPN
ma-50	1019	51	as	as	ADP
ma-50	1019	52	n	n	PROPN
ma-50	1019	53	→	→	SYM
ma-50	1019	54	∞.	∞.	PROPN
ma-50	1019	55	indeed	indeed	ADV
ma-50	1019	56	,	,	PUNCT
ma-50	1019	57	from(3.5	from(3.5	NOUN
ma-50	1019	58	)	)	PUNCT
ma-50	1019	59	with	with	ADP
ma-50	1019	60	v1n	v1n	NOUN
ma-50	1019	61	=	=	SYM
ma-50	1019	62	y1n	y1n	PROPN
ma-50	1019	63	,	,	PUNCT
ma-50	1019	64	(	(	PUNCT
ma-50	1019	65	4.12	4.12	NUM
ma-50	1019	66	)	)	PUNCT
ma-50	1019	67	and	and	CCONJ
ma-50	1019	68	proposition	proposition	NOUN
ma-50	1019	69	2.4	2.4	NUM
ma-50	1019	70	with	with	ADP
ma-50	1019	71	u	u	NOUN
ma-50	1019	72	=	=	NOUN
ma-50	1019	73	q	q	PROPN
ma-50	1019	74	,	,	PUNCT
ma-50	1019	75	tn	tn	PROPN
ma-50	1019	76	=	=	SYM
ma-50	1019	77	t	t	PROPN
ma-50	1019	78	,	,	PUNCT
ma-50	1019	79	j	j	X
ma-50	1020	1	=	=	PUNCT
ma-50	1020	2	i	i	PROPN
ma-50	1020	3	,	,	PUNCT
ma-50	1020	4	k	k	PROPN
ma-50	1020	5	=	=	SYM
ma-50	1020	6	1,γj−1v1n	1,γj−1v1n	NUM
ma-50	1021	1	=	=	SYM
ma-50	1021	2	vj−1	vj−1	PROPN
ma-50	1021	3	and	and	CCONJ
ma-50	1021	4	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	PROPN
ma-50	1021	5	eur	eur	NOUN
ma-50	1021	6	.	.	PUNCT
ma-50	1022	1	j.	j.	PROPN
ma-50	1022	2	math	math	PROPN
ma-50	1022	3	.	.	PUNCT
ma-50	1023	1	anal	anal	PROPN
ma-50	1023	2	.	.	PUNCT
ma-50	1024	1	10.28924	10.28924	NUM
ma-50	1024	2	/	/	SYM
ma-50	1024	3	ada	ada	PROPN
ma-50	1024	4	/	/	SYM
ma-50	1024	5	ma.2.1	ma.2.1	PROPN
ma-50	1024	6	36	36	NUM
ma-50	1024	7	γ`1v1n	γ`1v1n	PROPN
ma-50	1024	8	=	=	NOUN
ma-50	1024	9	v	v	ADJ
ma-50	1024	10	„	„	PUNCT
ma-50	1024	11	we	we	PRON
ma-50	1024	12	have	have	VERB
ma-50	1024	13	εn	εn	VERB
ma-50	1024	14	=	=	NOUN
ma-50	1024	15	‖tn+1	‖tn+1	NOUN
ma-50	1025	1	−	−	PROPN
ma-50	1025	2	δn,1tn	δn,1tn	NOUN
ma-50	1025	3	−	−	PROPN
ma-50	1026	1	`	`	PUNCT
ma-50	1026	2	1∑	1∑	NUM
ma-50	1026	3	j=2	j=2	PROPN
ma-50	1026	4	δn	δn	PROPN
ma-50	1026	5	,	,	PUNCT
ma-50	1026	6	j	j	PROPN
ma-50	1026	7	j−1∏	j−1∏	PROPN
ma-50	1026	8	i=1	i=1	PROPN
ma-50	1027	1	(	(	PUNCT
ma-50	1027	2	1−	1−	NUM
ma-50	1027	3	δn	δn	NOUN
ma-50	1027	4	,	,	PUNCT
ma-50	1027	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	1027	6	−	−	NOUN
ma-50	1027	7	`	`	PUNCT
ma-50	1027	8	1∏	1∏	NUM
ma-50	1027	9	i=1	i=1	PROPN
ma-50	1027	10	(	(	PUNCT
ma-50	1027	11	1−	1−	NUM
ma-50	1027	12	δn	δn	NOUN
ma-50	1027	13	,	,	PUNCT
ma-50	1027	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	1027	15	‖2	‖2	NOUN
ma-50	1027	16	=	=	SYM
ma-50	1027	17	‖tn+1	‖tn+1	PROPN
ma-50	1027	18	−	−	PROPN
ma-50	1027	19	q	q	NOUN
ma-50	1027	20	−	−	PROPN
ma-50	1027	21	δn,1tn	δn,1tn	NOUN
ma-50	1027	22	+	+	CCONJ
ma-50	1027	23	`	`	PUNCT
ma-50	1027	24	1∑	1∑	NUM
ma-50	1027	25	j=2	j=2	PROPN
ma-50	1027	26	δn	δn	PROPN
ma-50	1027	27	,	,	PUNCT
ma-50	1027	28	j	j	PROPN
ma-50	1027	29	j−1∏	j−1∏	PROPN
ma-50	1027	30	i=1	i=1	PROPN
ma-50	1028	1	(	(	PUNCT
ma-50	1028	2	1−	1−	NUM
ma-50	1028	3	δn	δn	NOUN
ma-50	1028	4	,	,	PUNCT
ma-50	1028	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	1028	6	+	+	CCONJ
ma-50	1028	7	`	`	PUNCT
ma-50	1028	8	1∏	1∏	NUM
ma-50	1028	9	i=1	i=1	X
ma-50	1028	10	(	(	PUNCT
ma-50	1028	11	1−	1−	NUM
ma-50	1028	12	δn	δn	NOUN
ma-50	1028	13	,	,	PUNCT
ma-50	1028	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	1028	15	−	−	NOUN
ma-50	1028	16	q	q	PUNCT
ma-50	1029	1			PROPN
ma-50	1029	2	‖2	‖2	NOUN
ma-50	1029	3	≤	≤	NUM
ma-50	1029	4	‖tn+1	‖tn+1	PROPN
ma-50	1029	5	−	−	PROPN
ma-50	1029	6	q‖2	q‖2	VERB
ma-50	1029	7	+	+	CCONJ
ma-50	1029	8	‖δn,1tn	‖δn,1tn	PROPN
ma-50	1030	1	+	+	PUNCT
ma-50	1030	2	`	`	PUNCT
ma-50	1030	3	1∑	1∑	NUM
ma-50	1030	4	j=2	j=2	PROPN
ma-50	1030	5	δn	δn	PROPN
ma-50	1030	6	,	,	PUNCT
ma-50	1030	7	j	j	PROPN
ma-50	1030	8	j−1∏	j−1∏	PROPN
ma-50	1030	9	i=1	i=1	PROPN
ma-50	1031	1	(	(	PUNCT
ma-50	1031	2	1−	1−	NUM
ma-50	1031	3	δn	δn	NOUN
ma-50	1031	4	,	,	PUNCT
ma-50	1031	5	i)γj−1v1n	i)γj−1v1n	ADJ
ma-50	1031	6	+	+	CCONJ
ma-50	1031	7	`	`	PUNCT
ma-50	1031	8	1∏	1∏	NUM
ma-50	1031	9	i=1	i=1	X
ma-50	1031	10	(	(	PUNCT
ma-50	1031	11	1−	1−	NUM
ma-50	1031	12	δn	δn	NOUN
ma-50	1031	13	,	,	PUNCT
ma-50	1031	14	i)γ`1v1n	i)γ`1v1n	NOUN
ma-50	1031	15	−	−	PROPN
ma-50	1031	16	q‖2	q‖2	VERB
ma-50	1031	17	≤	≤	NUM
ma-50	1031	18	‖tn+1	‖tn+1	PROPN
ma-50	1031	19	−	−	PROPN
ma-50	1031	20	q‖2	q‖2	PROPN
ma-50	1032	1	+	+	CCONJ
ma-50	1032	2	δn,1‖tn	δn,1‖tn	ADV
ma-50	1032	3	−	−	PROPN
ma-50	1032	4	q‖2	q‖2	VERB
ma-50	1032	5	+	+	CCONJ
ma-50	1032	6	`	`	PUNCT
ma-50	1032	7	1∑	1∑	NUM
ma-50	1032	8	j=2	j=2	PROPN
ma-50	1032	9	δn	δn	PROPN
ma-50	1032	10	,	,	PUNCT
ma-50	1032	11	j	j	PROPN
ma-50	1032	12	j−1∏	j−1∏	PROPN
ma-50	1032	13	i=1	i=1	PROPN
ma-50	1033	1	(	(	PUNCT
ma-50	1033	2	1−	1−	NUM
ma-50	1033	3	δn	δn	NOUN
ma-50	1033	4	,	,	PUNCT
ma-50	1033	5	i)‖γj−1v1n	i)‖γj−1v1n	NUM
ma-50	1033	6	−	−	PROPN
ma-50	1034	1	γj−1q‖2	γj−1q‖2	PROPN
ma-50	1034	2	+	+	CCONJ
ma-50	1034	3	`	`	PUNCT
ma-50	1034	4	1∏	1∏	NUM
ma-50	1034	5	i=1	i=1	X
ma-50	1034	6	(	(	PUNCT
ma-50	1034	7	1−	1−	NUM
ma-50	1034	8	δn	δn	NOUN
ma-50	1034	9	,	,	PUNCT
ma-50	1034	10	i)‖γ`1v1n	i)‖γ`1v1n	PROPN
ma-50	1034	11	−	−	PROPN
ma-50	1034	12	γ`1q‖2	γ`1q‖2	PUNCT
ma-50	1034	13	≤	≤	PROPN
ma-50	1034	14	‖tn+1	‖tn+1	PROPN
ma-50	1034	15	−	−	PROPN
ma-50	1034	16	q‖2	q‖2	PROPN
ma-50	1034	17	+	+	CCONJ
ma-50	1034	18	δn,1‖tn	δn,1‖tn	ADV
ma-50	1034	19	−	−	PROPN
ma-50	1035	1	q‖2	q‖2	VERB
ma-50	1036	1	+	+	CCONJ
ma-50	1036	2	`	`	PUNCT
ma-50	1036	3	1∑	1∑	NUM
ma-50	1036	4	j=2	j=2	PROPN
ma-50	1036	5	δn	δn	PROPN
ma-50	1036	6	,	,	PUNCT
ma-50	1036	7	j	j	PROPN
ma-50	1037	1	j−1∏	j−1∏	PROPN
ma-50	1037	2	i=1	i=1	PROPN
ma-50	1038	1	(	(	PUNCT
ma-50	1038	2	1−	1−	NUM
ma-50	1038	3	δn	δn	NOUN
ma-50	1038	4	,	,	PUNCT
ma-50	1038	5	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	1038	6	−	−	PROPN
ma-50	1038	7	q‖2	q‖2	VERB
ma-50	1038	8	+	+	CCONJ
ma-50	1038	9	`	`	PUNCT
ma-50	1038	10	1∏	1∏	NUM
ma-50	1038	11	i=1	i=1	PROPN
ma-50	1038	12	(	(	PUNCT
ma-50	1038	13	1−	1−	NUM
ma-50	1038	14	δn	δn	NOUN
ma-50	1038	15	,	,	PUNCT
ma-50	1038	16	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	1038	17	−	−	PROPN
ma-50	1038	18	q‖2	q‖2	NOUN
ma-50	1038	19	=	=	SYM
ma-50	1038	20	‖tn+1	‖tn+1	NOUN
ma-50	1039	1	−	−	PROPN
ma-50	1039	2	q‖2	q‖2	PROPN
ma-50	1039	3	+	+	CCONJ
ma-50	1039	4	δn,1‖tn	δn,1‖tn	ADV
ma-50	1039	5	−	−	PROPN
ma-50	1040	1	q‖2	q‖2	VERB
ma-50	1041	1	+	+	CCONJ
ma-50	1041	2	(	(	PUNCT
ma-50	1041	3	1−	1−	NUM
ma-50	1041	4	δn,1	δn,1	NOUN
ma-50	1041	5	−	−	NOUN
ma-50	1041	6	`	`	PUNCT
ma-50	1041	7	1∏	1∏	NUM
ma-50	1041	8	i=1	i=1	X
ma-50	1041	9	(	(	PUNCT
ma-50	1041	10	1−	1−	NUM
ma-50	1041	11	δn	δn	NOUN
ma-50	1041	12	,	,	PUNCT
ma-50	1041	13	i	i	NOUN
ma-50	1041	14	)	)	PUNCT
ma-50	1041	15	)	)	PUNCT
ma-50	1042	1	(	(	PUNCT
ma-50	1042	2	ρj)2‖v1n	ρj)2‖v1n	ADJ
ma-50	1042	3	−	−	PROPN
ma-50	1042	4	q‖2	q‖2	VERB
ma-50	1042	5	+	+	CCONJ
ma-50	1042	6	`	`	PUNCT
ma-50	1042	7	1∏	1∏	NUM
ma-50	1042	8	i=1	i=1	PROPN
ma-50	1042	9	(	(	PUNCT
ma-50	1042	10	1−	1−	NUM
ma-50	1042	11	δn	δn	NOUN
ma-50	1042	12	,	,	PUNCT
ma-50	1042	13	i)(ρj)2‖v1n	i)(ρj)2‖v1n	ADJ
ma-50	1042	14	−	−	PROPN
ma-50	1042	15	q‖2	q‖2	NOUN
ma-50	1042	16	=	=	SYM
ma-50	1042	17	‖tn+1	‖tn+1	NOUN
ma-50	1042	18	−	−	PROPN
ma-50	1043	1	q‖2	q‖2	PROPN
ma-50	1043	2	+	+	CCONJ
ma-50	1043	3	δn,1‖tn	δn,1‖tn	ADV
ma-50	1043	4	−	−	PROPN
ma-50	1044	1	q‖2	q‖2	NOUN
ma-50	1044	2	+	+	CCONJ
ma-50	1044	3	(	(	PUNCT
ma-50	1044	4	1−	1−	NUM
ma-50	1044	5	δn,1	δn,1	NOUN
ma-50	1044	6	)	)	PUNCT
ma-50	1044	7	‖v1n	‖v1n	NOUN
ma-50	1044	8	−	−	PROPN
ma-50	1045	1	q‖2	q‖2	PROPN
ma-50	1045	2	(	(	PUNCT
ma-50	1045	3	4.19	4.19	NUM
ma-50	1045	4	)	)	PUNCT
ma-50	1045	5	(	(	PUNCT
ma-50	1045	6	4.17	4.17	NUM
ma-50	1045	7	)	)	PUNCT
ma-50	1045	8	and	and	CCONJ
ma-50	1045	9	(	(	PUNCT
ma-50	1045	10	4.19	4.19	NUM
ma-50	1045	11	)	)	PUNCT
ma-50	1045	12	imply	imply	VERB
ma-50	1045	13	εn	εn	ADP
ma-50	1045	14	≤	≤	PROPN
ma-50	1045	15	‖tn+1	‖tn+1	PROPN
ma-50	1045	16	−	−	PROPN
ma-50	1045	17	q‖2	q‖2	PROPN
ma-50	1045	18	+	+	CCONJ
ma-50	1045	19	{	{	PUNCT
ma-50	1045	20	δn,1	δn,1	NOUN
ma-50	1045	21	+	+	CCONJ
ma-50	1045	22	(	(	PUNCT
ma-50	1045	23	1−	1−	NUM
ma-50	1045	24	δn,1	δn,1	NOUN
ma-50	1045	25	)	)	PUNCT
ma-50	1045	26	[	[	PUNCT
ma-50	1045	27	α1n,1	α1n,1	X
ma-50	1045	28	+	+	SYM
ma-50	1045	29	α2n,1	α2n,1	NUM
ma-50	1045	30	(	(	PUNCT
ma-50	1045	31	1−	1−	NUM
ma-50	1045	32	α1n,1	α1n,1	PROPN
ma-50	1045	33	)	)	PUNCT
ma-50	1046	1	+	+	PROPN
ma-50	1046	2	(	(	PUNCT
ma-50	1046	3	1−	1−	NUM
ma-50	1046	4	α1n,1)α3n,1	α1n,1)α3n,1	NOUN
ma-50	1046	5	(	(	PUNCT
ma-50	1046	6	1−	1−	NUM
ma-50	1046	7	α2n,1	α2n,1	NUM
ma-50	1046	8	)	)	PUNCT
ma-50	1046	9	+	+	CCONJ
ma-50	1046	10	(	(	PUNCT
ma-50	1046	11	1−	1−	NUM
ma-50	1046	12	α1n,1	α1n,1	NOUN
ma-50	1046	13	)	)	PUNCT
ma-50	1046	14	(	(	PUNCT
ma-50	1046	15	1−	1−	NUM
ma-50	1046	16	α2n,1	α2n,1	NUM
ma-50	1046	17	)	)	PUNCT
ma-50	1046	18	α3n,1(1−	α3n,1(1−	NUM
ma-50	1046	19	α3n,1	α3n,1	NOUN
ma-50	1046	20	)	)	PUNCT
ma-50	1046	21	+	+	NUM
ma-50	1046	22	·	·	PUNCT
ma-50	1046	23	·	·	PUNCT
ma-50	1046	24	·	·	PUNCT
ma-50	1046	25	+	+	PUNCT
ma-50	1046	26	(	(	PUNCT
ma-50	1046	27	1−	1−	NUM
ma-50	1046	28	α1n,1	α1n,1	NOUN
ma-50	1046	29	)	)	PUNCT
ma-50	1046	30	(	(	PUNCT
ma-50	1046	31	1−	1−	NUM
ma-50	1046	32	α2n,1	α2n,1	NUM
ma-50	1046	33	)	)	PUNCT
ma-50	1046	34	(	(	PUNCT
ma-50	1046	35	1−	1−	NUM
ma-50	1046	36	α3n,1	α3n,1	NUM
ma-50	1046	37	)	)	PUNCT
ma-50	1046	38	×	×	PROPN
ma-50	1046	39	·	·	PUNCT
ma-50	1046	40	·	·	PUNCT
ma-50	1046	41	·	·	PUNCT
ma-50	1047	1	×	×	NOUN
ma-50	1047	2	(	(	PUNCT
ma-50	1047	3	1−	1−	NUM
ma-50	1047	4	α`s−2n,1	α`s−2n,1	NOUN
ma-50	1047	5	)	)	PUNCT
ma-50	1047	6	×	×	NOUN
ma-50	1047	7	(	(	PUNCT
ma-50	1047	8	1−	1−	NUM
ma-50	1047	9	α`s−1n,1	α`s−1n,1	NOUN
ma-50	1047	10	)	)	PUNCT
ma-50	1048	1	]	]	PUNCT
ma-50	1048	2	}	}	PUNCT
ma-50	1048	3	‖tn	‖tn	NUM
ma-50	1048	4	−	−	PROPN
ma-50	1048	5	q‖2	q‖2	PROPN
ma-50	1048	6	(	(	PUNCT
ma-50	1048	7	4.20	4.20	NUM
ma-50	1048	8	)	)	PUNCT
ma-50	1048	9	again	again	ADV
ma-50	1048	10	,	,	PUNCT
ma-50	1048	11	from	from	ADP
ma-50	1048	12	our	our	PRON
ma-50	1048	13	assumption	assumption	NOUN
ma-50	1048	14	,	,	PUNCT
ma-50	1048	15	we	we	PRON
ma-50	1048	16	obtain	obtain	VERB
ma-50	1048	17	from	from	ADP
ma-50	1048	18	(	(	PUNCT
ma-50	1048	19	4.20	4.20	NUM
ma-50	1048	20	)	)	PUNCT
ma-50	1048	21	that	that	PRON
ma-50	1048	22	εn	εn	ADJ
ma-50	1048	23	→	→	SYM
ma-50	1048	24	0	0	NUM
ma-50	1048	25	as	as	ADP
ma-50	1048	26	n	n	NOUN
ma-50	1048	27	→	→	SYM
ma-50	1048	28	∞.	∞.	PROPN
ma-50	1048	29	hence	hence	ADV
ma-50	1048	30	,	,	PUNCT
ma-50	1048	31	the	the	DET
ma-50	1048	32	multistep	multistep	ADJ
ma-50	1048	33	ih	ih	NOUN
ma-50	1048	34	-	-	PUNCT
ma-50	1048	35	iteration	iteration	NOUN
ma-50	1048	36	scheme	scheme	NOUN
ma-50	1048	37	(	(	PUNCT
ma-50	1048	38	3.1	3.1	NUM
ma-50	1048	39	)	)	PUNCT
ma-50	1048	40	is	be	AUX
ma-50	1048	41	γ	γ	X
ma-50	1048	42	-	-	ADJ
ma-50	1048	43	stable	stable	ADJ
ma-50	1048	44	,	,	PUNCT
ma-50	1048	45	and	and	CCONJ
ma-50	1048	46	this	this	PRON
ma-50	1048	47	completes	complete	VERB
ma-50	1048	48	the	the	DET
ma-50	1048	49	proof	proof	NOUN
ma-50	1048	50	.	.	PUNCT
ma-50	1049	1	�	�	PROPN
ma-50	1049	2	remark	remark	VERB
ma-50	1049	3	4.1	4.1	NUM
ma-50	1049	4	.	.	PUNCT
ma-50	1050	1	the	the	DET
ma-50	1050	2	following	follow	VERB
ma-50	1050	3	areas	area	NOUN
ma-50	1050	4	are	be	AUX
ma-50	1050	5	still	still	ADV
ma-50	1050	6	open	open	ADJ
ma-50	1050	7	:	:	PUNCT
ma-50	1050	8	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	1050	9	eur	eur	NOUN
ma-50	1050	10	.	.	PUNCT
ma-50	1051	1	j.	j.	PROPN
ma-50	1051	2	math	math	PROPN
ma-50	1051	3	.	.	PUNCT
ma-50	1052	1	anal	anal	PROPN
ma-50	1052	2	.	.	PUNCT
ma-50	1053	1	10.28924	10.28924	NUM
ma-50	1053	2	/	/	SYM
ma-50	1053	3	ada	ada	PROPN
ma-50	1053	4	/	/	SYM
ma-50	1053	5	ma.2.1	ma.2.1	PROPN
ma-50	1053	6	37(i	37(i	NUM
ma-50	1053	7	)	)	PUNCT
ma-50	1053	8	to	to	PART
ma-50	1053	9	reconstruct	reconstruct	VERB
ma-50	1053	10	,	,	PUNCT
ma-50	1053	11	approximate	approximate	VERB
ma-50	1053	12	the	the	DET
ma-50	1053	13	fixed	fix	VERB
ma-50	1053	14	points	point	NOUN
ma-50	1053	15	and	and	CCONJ
ma-50	1053	16	the	the	DET
ma-50	1053	17	stability	stability	NOUN
ma-50	1053	18	results	result	NOUN
ma-50	1053	19	of	of	ADP
ma-50	1053	20	some	some	DET
ma-50	1053	21	existing	exist	VERB
ma-50	1053	22	iterative	iterative	NOUN
ma-50	1053	23	schemes	scheme	NOUN
ma-50	1053	24	in	in	ADP
ma-50	1053	25	the	the	DET
ma-50	1053	26	current	current	ADJ
ma-50	1053	27	literature	literature	NOUN
ma-50	1053	28	,	,	PUNCT
ma-50	1053	29	other	other	ADJ
ma-50	1053	30	than	than	ADP
ma-50	1053	31	the	the	DET
ma-50	1053	32	ones	one	NOUN
ma-50	1053	33	under	under	ADP
ma-50	1053	34	study	study	NOUN
ma-50	1053	35	,	,	PUNCT
ma-50	1053	36	for	for	ADP
ma-50	1053	37	finite	finite	ADJ
ma-50	1053	38	family	family	NOUN
ma-50	1053	39	of	of	ADP
ma-50	1053	40	certain	certain	ADJ
ma-50	1053	41	class	class	NOUN
ma-50	1053	42	of	of	ADP
ma-50	1053	43	contractive	contractive	ADJ
ma-50	1053	44	-	-	PUNCT
ma-50	1053	45	type	type	NOUN
ma-50	1053	46	map;(ii	map;(ii	NOUN
ma-50	1053	47	)	)	PUNCT
ma-50	1053	48	to	to	PART
ma-50	1053	49	compare	compare	VERB
ma-50	1053	50	convergent	convergent	ADJ
ma-50	1053	51	rates	rate	NOUN
ma-50	1053	52	of	of	ADP
ma-50	1053	53	the	the	DET
ma-50	1053	54	iterative	iterative	NOUN
ma-50	1053	55	schemes	scheme	NOUN
ma-50	1053	56	defined	define	VERB
ma-50	1053	57	by	by	ADP
ma-50	1053	58	(	(	PUNCT
ma-50	1053	59	3.1	3.1	NUM
ma-50	1053	60	)	)	PUNCT
ma-50	1053	61	and	and	CCONJ
ma-50	1053	62	(	(	PUNCT
ma-50	1053	63	3.2	3.2	NUM
ma-50	1053	64	)	)	PUNCT
ma-50	1053	65	with	with	ADP
ma-50	1053	66	those	those	PRON
ma-50	1053	67	of	of	ADP
ma-50	1053	68	(	(	PUNCT
ma-50	1053	69	1.5	1.5	NUM
ma-50	1053	70	)	)	PUNCT
ma-50	1053	71	and	and	CCONJ
ma-50	1053	72	(	(	PUNCT
ma-50	1053	73	1.6	1.6	NUM
ma-50	1053	74	)	)	PUNCT
ma-50	1053	75	.	.	PUNCT
ma-50	1054	1	competing	compete	VERB
ma-50	1054	2	interestthe	interestthe	PROPN
ma-50	1054	3	authors	author	NOUN
ma-50	1054	4	declare	declare	VERB
ma-50	1054	5	that	that	SCONJ
ma-50	1054	6	there	there	PRON
ma-50	1054	7	is	be	VERB
ma-50	1054	8	no	no	DET
ma-50	1054	9	conflict	conflict	NOUN
ma-50	1054	10	of	of	ADP
ma-50	1054	11	interest	interest	NOUN
ma-50	1054	12	.	.	PUNCT
ma-50	1055	1	references	reference	NOUN
ma-50	1055	2	[	[	X
ma-50	1055	3	1	1	NUM
ma-50	1055	4	]	]	X
ma-50	1055	5	b.	b.	PROPN
ma-50	1055	6	e.	e.	PROPN
ma-50	1055	7	rhoade	rhoade	PROPN
ma-50	1055	8	,	,	PUNCT
ma-50	1055	9	fixed	fix	VERB
ma-50	1055	10	point	point	NOUN
ma-50	1055	11	theorems	theorem	NOUN
ma-50	1055	12	and	and	CCONJ
ma-50	1055	13	stability	stability	NOUN
ma-50	1055	14	results	result	NOUN
ma-50	1055	15	for	for	ADP
ma-50	1055	16	fixed	fix	VERB
ma-50	1055	17	point	point	NOUN
ma-50	1055	18	iteration	iteration	NOUN
ma-50	1055	19	procedures	procedure	NOUN
ma-50	1055	20	,	,	PUNCT
ma-50	1055	21	indian	indian	PROPN
ma-50	1055	22	j.	j.	PROPN
ma-50	1055	23	pure	pure	PROPN
ma-50	1055	24	appl.math	appl.math	PROPN
ma-50	1055	25	.	.	PUNCT
ma-50	1056	1	24(11	24(11	NUM
ma-50	1056	2	)	)	PUNCT
ma-50	1056	3	(	(	PUNCT
ma-50	1056	4	1993	1993	NUM
ma-50	1056	5	)	)	PUNCT
ma-50	1056	6	691	691	NUM
ma-50	1056	7	-	-	SYM
ma-50	1056	8	03.[2	03.[2	NOUN
ma-50	1056	9	]	]	PUNCT
ma-50	1056	10	b.	b.	PROPN
ma-50	1056	11	e.	e.	PROPN
ma-50	1056	12	rhoade	rhoade	PROPN
ma-50	1056	13	,	,	PUNCT
ma-50	1056	14	fixed	fix	VERB
ma-50	1056	15	point	point	NOUN
ma-50	1056	16	theorems	theorem	NOUN
ma-50	1056	17	and	and	CCONJ
ma-50	1056	18	stability	stability	NOUN
ma-50	1056	19	results	result	NOUN
ma-50	1056	20	for	for	ADP
ma-50	1056	21	fixed	fix	VERB
ma-50	1056	22	point	point	NOUN
ma-50	1056	23	iteration	iteration	NOUN
ma-50	1056	24	procedures	procedure	NOUN
ma-50	1056	25	,	,	PUNCT
ma-50	1056	26	indian	indian	PROPN
ma-50	1056	27	j.	j.	PROPN
ma-50	1056	28	pure	pure	PROPN
ma-50	1056	29	appl.math	appl.math	PROPN
ma-50	1056	30	.	.	PROPN
ma-50	1056	31	21	21	NUM
ma-50	1056	32	(	(	PUNCT
ma-50	1056	33	1990	1990	NUM
ma-50	1056	34	)	)	PUNCT
ma-50	1056	35	1	1	NUM
ma-50	1056	36	-	-	SYM
ma-50	1056	37	9.[3	9.[3	NUM
ma-50	1056	38	]	]	PUNCT
ma-50	1056	39	m.	m.	NOUN
ma-50	1056	40	o.	o.	PROPN
ma-50	1056	41	osilike	osilike	PROPN
ma-50	1056	42	,	,	PUNCT
ma-50	1056	43	a.	a.	NOUN
ma-50	1056	44	udoemene	udoemene	PROPN
ma-50	1056	45	,	,	PUNCT
ma-50	1056	46	a	a	DET
ma-50	1056	47	short	short	ADJ
ma-50	1056	48	proof	proof	NOUN
ma-50	1056	49	of	of	ADP
ma-50	1056	50	stability	stability	NOUN
ma-50	1056	51	resultsfor	resultsfor	ADP
ma-50	1056	52	fixed	fix	VERB
ma-50	1056	53	point	point	NOUN
ma-50	1056	54	iteration	iteration	NOUN
ma-50	1056	55	procedures	procedure	NOUN
ma-50	1056	56	for	for	ADP
ma-50	1056	57	a	a	DET
ma-50	1056	58	class	class	NOUN
ma-50	1056	59	ofcontractive	ofcontractive	ADJ
ma-50	1056	60	-	-	PUNCT
ma-50	1056	61	type	type	NOUN
ma-50	1056	62	mappings	mapping	NOUN
ma-50	1056	63	,	,	PUNCT
ma-50	1056	64	indian	indian	ADJ
ma-50	1056	65	j.	j.	PROPN
ma-50	1056	66	pure	pure	PROPN
ma-50	1056	67	appl	appl	PROPN
ma-50	1056	68	.	.	PUNCT
ma-50	1056	69	math	math	NOUN
ma-50	1056	70	.	.	PUNCT
ma-50	1057	1	30	30	NUM
ma-50	1057	2	(	(	PUNCT
ma-50	1057	3	1999	1999	NUM
ma-50	1057	4	)	)	PUNCT
ma-50	1057	5	122	122	NUM
ma-50	1057	6	-	-	SYM
ma-50	1057	7	1234.[4	1234.[4	NUM
ma-50	1057	8	]	]	PUNCT
ma-50	1058	1	j.	j.	PROPN
ma-50	1058	2	o.	o.	PROPN
ma-50	1058	3	olaleru	olaleru	PROPN
ma-50	1058	4	,	,	PUNCT
ma-50	1058	5	h.	h.	PROPN
ma-50	1058	6	akewe	akewe	PROPN
ma-50	1058	7	,	,	PUNCT
ma-50	1058	8	an	an	DET
ma-50	1058	9	extension	extension	NOUN
ma-50	1058	10	of	of	ADP
ma-50	1058	11	gregus	gregus	NOUN
ma-50	1058	12	fixed	fix	VERB
ma-50	1058	13	point	point	NOUN
ma-50	1058	14	theorem	theorem	VERB
ma-50	1058	15	,	,	PUNCT
ma-50	1058	16	fixed	fix	VERB
ma-50	1058	17	point	point	NOUN
ma-50	1058	18	theory	theory	NOUN
ma-50	1058	19	appl	appl	PROPN
ma-50	1058	20	.	.	PUNCT
ma-50	1059	1	2007	2007	NUM
ma-50	1059	2	(	(	PUNCT
ma-50	1059	3	2007	2007	NUM
ma-50	1059	4	)	)	PUNCT
ma-50	1059	5	78628	78628	NUM
ma-50	1059	6	.	.	PUNCT
ma-50	1060	1	https://doi.org/10.1155/2007/78628.[5	https://doi.org/10.1155/2007/78628.[5	X
ma-50	1060	2	]	]	PUNCT
ma-50	1061	1	a.	a.	PROPN
ma-50	1061	2	ratiq	ratiq	PROPN
ma-50	1061	3	,	,	PUNCT
ma-50	1061	4	a	a	DET
ma-50	1061	5	convergence	convergence	NOUN
ma-50	1061	6	theprem	theprem	VERB
ma-50	1061	7	for	for	ADP
ma-50	1061	8	mann	mann	PROPN
ma-50	1061	9	’s	’s	PART
ma-50	1061	10	iteration	iteration	NOUN
ma-50	1061	11	procedure	procedure	NOUN
ma-50	1061	12	,	,	PUNCT
ma-50	1061	13	appl	appl	PROPN
ma-50	1061	14	.	.	PROPN
ma-50	1061	15	math	math	NOUN
ma-50	1061	16	.	.	PUNCT
ma-50	1062	1	e	e	X
ma-50	1062	2	-	-	NOUN
ma-50	1062	3	note	note	NOUN
ma-50	1062	4	,	,	PUNCT
ma-50	1062	5	6	6	NUM
ma-50	1062	6	(	(	PUNCT
ma-50	1062	7	2006	2006	NUM
ma-50	1062	8	)	)	PUNCT
ma-50	1062	9	289	289	NUM
ma-50	1062	10	-	-	SYM
ma-50	1062	11	293.[6	293.[6	NUM
ma-50	1062	12	]	]	PUNCT
ma-50	1062	13	h.	h.	PROPN
ma-50	1062	14	akewe	akewe	PROPN
ma-50	1062	15	,	,	PUNCT
ma-50	1062	16	h.	h.	PROPN
ma-50	1062	17	olaoluwa	olaoluwa	PROPN
ma-50	1062	18	,	,	PUNCT
ma-50	1062	19	on	on	ADP
ma-50	1062	20	the	the	DET
ma-50	1062	21	convergence	convergence	NOUN
ma-50	1062	22	of	of	ADP
ma-50	1062	23	modified	modify	VERB
ma-50	1062	24	iteration	iteration	NOUN
ma-50	1062	25	process	process	NOUN
ma-50	1062	26	for	for	ADP
ma-50	1062	27	generalised	generalised	ADJ
ma-50	1062	28	contractive	contractive	ADJ
ma-50	1062	29	-	-	PUNCT
ma-50	1062	30	like	like	ADJ
ma-50	1062	31	operators	operator	NOUN
ma-50	1062	32	,	,	PUNCT
ma-50	1062	33	bull	bull	NOUN
ma-50	1062	34	.	.	PUNCT
ma-50	1063	1	math	math	NOUN
ma-50	1063	2	.	.	PUNCT
ma-50	1064	1	anal	anal	PROPN
ma-50	1064	2	.	.	PUNCT
ma-50	1064	3	appl	appl	PROPN
ma-50	1064	4	.	.	PUNCT
ma-50	1065	1	4(3	4(3	NUM
ma-50	1065	2	)	)	PUNCT
ma-50	1065	3	(	(	PUNCT
ma-50	1065	4	2012	2012	NUM
ma-50	1065	5	)	)	PUNCT
ma-50	1065	6	78	78	NUM
ma-50	1065	7	-	-	SYM
ma-50	1065	8	86.[7	86.[7	NUM
ma-50	1065	9	]	]	X
ma-50	1065	10	b.	b.	PROPN
ma-50	1065	11	e.	e.	PROPN
ma-50	1065	12	rhoade	rhoade	PROPN
ma-50	1065	13	,	,	PUNCT
ma-50	1065	14	a	a	DET
ma-50	1065	15	comparison	comparison	NOUN
ma-50	1065	16	of	of	ADP
ma-50	1065	17	various	various	ADJ
ma-50	1065	18	definitions	definition	NOUN
ma-50	1065	19	of	of	ADP
ma-50	1065	20	contractive	contractive	ADJ
ma-50	1065	21	mappings	mapping	NOUN
ma-50	1065	22	,	,	PUNCT
ma-50	1065	23	trans	trans	PROPN
ma-50	1065	24	.	.	PROPN
ma-50	1066	1	amer	amer	PROPN
ma-50	1066	2	.	.	PUNCT
ma-50	1066	3	math	math	PROPN
ma-50	1066	4	.	.	PUNCT
ma-50	1067	1	soc	soc	PROPN
ma-50	1067	2	.	.	PUNCT
ma-50	1068	1	266	266	NUM
ma-50	1068	2	(	(	PUNCT
ma-50	1068	3	1977)257	1977)257	PROPN
ma-50	1068	4	-	-	SYM
ma-50	1068	5	290	290	NUM
ma-50	1068	6	.	.	PUNCT
ma-50	1069	1	https://doi.org/10.1090/s0002-9947-1977-0433430-4.[8	https://doi.org/10.1090/s0002-9947-1977-0433430-4.[8	PROPN
ma-50	1069	2	]	]	PUNCT
ma-50	1069	3	b.	b.	PROPN
ma-50	1069	4	e.	e.	PROPN
ma-50	1069	5	rhoade	rhoade	PROPN
ma-50	1069	6	,	,	PUNCT
ma-50	1069	7	comments	comment	NOUN
ma-50	1069	8	on	on	ADP
ma-50	1069	9	two	two	NUM
ma-50	1069	10	fixed	fix	VERB
ma-50	1069	11	point	point	NOUN
ma-50	1069	12	iteration	iteration	NOUN
ma-50	1069	13	methods	method	NOUN
ma-50	1069	14	,	,	PUNCT
ma-50	1069	15	trans	trans	PROPN
ma-50	1069	16	.	.	PROPN
ma-50	1070	1	amer	amer	PROPN
ma-50	1070	2	.	.	PUNCT
ma-50	1070	3	math	math	PROPN
ma-50	1070	4	.	.	PUNCT
ma-50	1071	1	soc	soc	PROPN
ma-50	1071	2	.	.	PUNCT
ma-50	1072	1	56	56	NUM
ma-50	1072	2	(	(	PUNCT
ma-50	1072	3	1976	1976	NUM
ma-50	1072	4	)	)	PUNCT
ma-50	1072	5	741	741	NUM
ma-50	1072	6	-	-	SYM
ma-50	1072	7	750.[9	750.[9	NUM
ma-50	1072	8	]	]	PUNCT
ma-50	1072	9	b.	b.	PROPN
ma-50	1072	10	e.	e.	PROPN
ma-50	1072	11	rhoade	rhoade	PROPN
ma-50	1072	12	,	,	PUNCT
ma-50	1072	13	fixed	fix	VERB
ma-50	1072	14	point	point	NOUN
ma-50	1072	15	iteration	iteration	NOUN
ma-50	1072	16	using	use	VERB
ma-50	1072	17	infinite	infinite	ADJ
ma-50	1072	18	matrices	matrix	NOUN
ma-50	1072	19	,	,	PUNCT
ma-50	1072	20	trans	trans	PROPN
ma-50	1072	21	.	.	PROPN
ma-50	1073	1	amer	amer	PROPN
ma-50	1073	2	.	.	PUNCT
ma-50	1073	3	math	math	PROPN
ma-50	1073	4	.	.	PUNCT
ma-50	1074	1	soc	soc	PROPN
ma-50	1074	2	.	.	PUNCT
ma-50	1075	1	196	196	NUM
ma-50	1075	2	(	(	PUNCT
ma-50	1075	3	1974	1974	NUM
ma-50	1075	4	)	)	PUNCT
ma-50	1075	5	161	161	NUM
ma-50	1075	6	-	-	SYM
ma-50	1075	7	176	176	NUM
ma-50	1075	8	.	.	PUNCT
ma-50	1075	9	https	https	NOUN
ma-50	1075	10	:	:	PUNCT
ma-50	1075	11	//doi.org/10.1090	//doi.org/10.1090	ADJ
ma-50	1075	12	/	/	SYM
ma-50	1075	13	s0002	s0002	NOUN
ma-50	1075	14	-	-	PUNCT
ma-50	1075	15	9947	9947	NUM
ma-50	1075	16	-	-	PUNCT
ma-50	1075	17	1974	1974	NUM
ma-50	1075	18	-	-	PUNCT
ma-50	1075	19	0348565	0348565	NUM
ma-50	1075	20	-	-	SYM
ma-50	1075	21	1.[10	1.[10	NUM
ma-50	1075	22	]	]	PUNCT
ma-50	1075	23	v.	v.	CCONJ
ma-50	1075	24	berinde	berinde	NOUN
ma-50	1075	25	,	,	PUNCT
ma-50	1075	26	iterative	iterative	NOUN
ma-50	1075	27	approximation	approximation	NOUN
ma-50	1075	28	of	of	ADP
ma-50	1075	29	fixed	fix	VERB
ma-50	1075	30	points	point	NOUN
ma-50	1075	31	,	,	PUNCT
ma-50	1075	32	springer	springer	NOUN
ma-50	1075	33	,	,	PUNCT
ma-50	1075	34	berlin	berlin	PROPN
ma-50	1075	35	,	,	PUNCT
ma-50	1075	36	2007.[11	2007.[11	NUM
ma-50	1075	37	]	]	X
ma-50	1075	38	h.	h.	PROPN
ma-50	1075	39	akewe	akewe	PROPN
ma-50	1075	40	,	,	PUNCT
ma-50	1075	41	approximation	approximation	NOUN
ma-50	1075	42	of	of	ADP
ma-50	1075	43	fixed	fix	VERB
ma-50	1075	44	and	and	CCONJ
ma-50	1075	45	common	common	ADJ
ma-50	1075	46	fixed	fix	VERB
ma-50	1075	47	points	point	NOUN
ma-50	1075	48	of	of	ADP
ma-50	1075	49	generalised	generalised	ADJ
ma-50	1075	50	contractive	contractive	ADJ
ma-50	1075	51	-	-	PUNCT
ma-50	1075	52	like	like	ADJ
ma-50	1075	53	operators	operator	NOUN
ma-50	1075	54	,	,	PUNCT
ma-50	1075	55	phd	phd	NOUN
ma-50	1075	56	thesis	thesis	NOUN
ma-50	1075	57	,	,	PUNCT
ma-50	1075	58	university	university	NOUN
ma-50	1075	59	of	of	ADP
ma-50	1075	60	lagos	lagos	PROPN
ma-50	1075	61	,	,	PUNCT
ma-50	1075	62	nigeria	nigeria	PRON
ma-50	1075	63	,	,	PUNCT
ma-50	1075	64	2010.[12	2010.[12	NUM
ma-50	1075	65	]	]	PUNCT
ma-50	1075	66	a.	a.	NOUN
ma-50	1075	67	m.	m.	NOUN
ma-50	1075	68	harder	hard	ADV
ma-50	1075	69	,	,	PUNCT
ma-50	1075	70	t.	t.	PROPN
ma-50	1075	71	l.	l.	PROPN
ma-50	1075	72	hicks	hicks	PROPN
ma-50	1075	73	,	,	PUNCT
ma-50	1075	74	stability	stability	NOUN
ma-50	1075	75	results	result	VERB
ma-50	1075	76	for	for	ADP
ma-50	1075	77	fixed	fix	VERB
ma-50	1075	78	point	point	NOUN
ma-50	1075	79	iterative	iterative	NOUN
ma-50	1075	80	procedures	procedure	NOUN
ma-50	1075	81	,	,	PUNCT
ma-50	1075	82	math	math	NOUN
ma-50	1075	83	.	.	PUNCT
ma-50	1076	1	jpn	jpn	PROPN
ma-50	1076	2	,	,	PUNCT
ma-50	1076	3	33(5	33(5	NUM
ma-50	1076	4	)	)	PUNCT
ma-50	1076	5	(	(	PUNCT
ma-50	1076	6	1988	1988	NUM
ma-50	1076	7	)	)	PUNCT
ma-50	1076	8	693	693	NUM
ma-50	1076	9	-	-	SYM
ma-50	1076	10	706.[13	706.[13	NUM
ma-50	1076	11	]	]	PUNCT
ma-50	1076	12	a.	a.	NOUN
ma-50	1076	13	m.	m.	PROPN
ma-50	1076	14	ostrowski	ostrowski	PROPN
ma-50	1076	15	,	,	PUNCT
ma-50	1076	16	the	the	DET
ma-50	1076	17	round	round	NOUN
ma-50	1076	18	off	off	ADP
ma-50	1076	19	stability	stability	NOUN
ma-50	1076	20	of	of	ADP
ma-50	1076	21	iterations	iteration	NOUN
ma-50	1076	22	,	,	PUNCT
ma-50	1076	23	z.	z.	PROPN
ma-50	1076	24	angew	angew	PROPN
ma-50	1076	25	math	math	PROPN
ma-50	1076	26	.	.	PUNCT
ma-50	1077	1	mech	mech	NOUN
ma-50	1077	2	47	47	NUM
ma-50	1077	3	(	(	PUNCT
ma-50	1077	4	1967	1967	NUM
ma-50	1077	5	)	)	PUNCT
ma-50	1077	6	77	77	NUM
ma-50	1077	7	-	-	SYM
ma-50	1077	8	81.[14	81.[14	NUM
ma-50	1077	9	]	]	X
ma-50	1077	10	v.	v.	CCONJ
ma-50	1077	11	berinde	berinde	NOUN
ma-50	1077	12	,	,	PUNCT
ma-50	1077	13	on	on	ADP
ma-50	1077	14	the	the	DET
ma-50	1077	15	stability	stability	NOUN
ma-50	1077	16	of	of	ADP
ma-50	1077	17	some	some	DET
ma-50	1077	18	fixed	fix	VERB
ma-50	1077	19	point	point	NOUN
ma-50	1077	20	problems	problem	NOUN
ma-50	1077	21	,	,	PUNCT
ma-50	1077	22	bull	bull	NOUN
ma-50	1077	23	.	.	PUNCT
ma-50	1078	1	stint	stint	NOUN
ma-50	1078	2	.	.	PUNCT
ma-50	1079	1	univ	univ	PROPN
ma-50	1079	2	.	.	PUNCT
ma-50	1080	1	bala	bala	PROPN
ma-50	1080	2	mare	mare	PROPN
ma-50	1080	3	,	,	PUNCT
ma-50	1080	4	ser	ser	PROPN
ma-50	1080	5	.	.	PUNCT
ma-50	1081	1	b	b	PROPN
ma-50	1081	2	fasc	fasc	PROPN
ma-50	1081	3	.	.	PUNCT
ma-50	1081	4	mat	mat	NOUN
ma-50	1081	5	-	-	PUNCT
ma-50	1081	6	inform	inform	NOUN
ma-50	1081	7	.	.	PUNCT
ma-50	1082	1	xviii(1	xviii(1	NOUN
ma-50	1082	2	)	)	PUNCT
ma-50	1082	3	14	14	NUM
ma-50	1082	4	(	(	PUNCT
ma-50	1082	5	2002	2002	NUM
ma-50	1082	6	)	)	PUNCT
ma-50	1082	7	7	7	NUM
ma-50	1082	8	-	-	SYM
ma-50	1082	9	14.[15	14.[15	NUM
ma-50	1082	10	]	]	PUNCT
ma-50	1082	11	t.	t.	PROPN
ma-50	1082	12	zamfirescu	zamfirescu	PROPN
ma-50	1082	13	,	,	PUNCT
ma-50	1082	14	fixed	fix	VERB
ma-50	1082	15	point	point	NOUN
ma-50	1082	16	theorems	theorem	NOUN
ma-50	1082	17	in	in	ADP
ma-50	1082	18	metric	metric	ADJ
ma-50	1082	19	spaces	space	NOUN
ma-50	1082	20	,	,	PUNCT
ma-50	1082	21	arch	arch	NOUN
ma-50	1082	22	.	.	PUNCT
ma-50	1083	1	math	math	NOUN
ma-50	1083	2	.	.	PUNCT
ma-50	1084	1	23	23	NUM
ma-50	1084	2	(	(	PUNCT
ma-50	1084	3	1972	1972	NUM
ma-50	1084	4	)	)	PUNCT
ma-50	1084	5	292	292	NUM
ma-50	1084	6	-	-	SYM
ma-50	1084	7	298.[16	298.[16	NUM
ma-50	1084	8	]	]	PUNCT
ma-50	1084	9	m.	m.	NOUN
ma-50	1084	10	o.	o.	PROPN
ma-50	1084	11	osilike	osilike	PROPN
ma-50	1084	12	,	,	PUNCT
ma-50	1084	13	stability	stability	NOUN
ma-50	1084	14	results	result	VERB
ma-50	1084	15	for	for	ADP
ma-50	1084	16	lshikawa	lshikawa	NOUN
ma-50	1084	17	fixed	fix	VERB
ma-50	1084	18	point	point	NOUN
ma-50	1084	19	iteration	iteration	NOUN
ma-50	1084	20	procedure	procedure	NOUN
ma-50	1084	21	,	,	PUNCT
ma-50	1084	22	indian	indian	PROPN
ma-50	1084	23	j.	j.	PROPN
ma-50	1084	24	pure	pure	PROPN
ma-50	1084	25	appl	appl	PROPN
ma-50	1084	26	.	.	PUNCT
ma-50	1084	27	math	math	NOUN
ma-50	1084	28	.	.	PUNCT
ma-50	1085	1	26(10)(1996	26(10)(1996	X
ma-50	1085	2	)	)	PUNCT
ma-50	1085	3	937	937	NUM
ma-50	1085	4	-	-	SYM
ma-50	1085	5	941.[17	941.[17	NUM
ma-50	1085	6	]	]	PUNCT
ma-50	1085	7	m.	m.	NOUN
ma-50	1085	8	o.	o.	PROPN
ma-50	1085	9	olutinwo	olutinwo	PROPN
ma-50	1085	10	,	,	PUNCT
ma-50	1085	11	some	some	DET
ma-50	1085	12	stability	stability	NOUN
ma-50	1085	13	results	result	VERB
ma-50	1085	14	for	for	ADP
ma-50	1085	15	two	two	NUM
ma-50	1085	16	hybrid	hybrid	ADJ
ma-50	1085	17	fixed	fix	VERB
ma-50	1085	18	point	point	NOUN
ma-50	1085	19	iterative	iterative	NOUN
ma-50	1085	20	algorithms	algorithm	NOUN
ma-50	1085	21	in	in	ADP
ma-50	1085	22	normed	normed	ADJ
ma-50	1085	23	linear	linear	PROPN
ma-50	1085	24	space.mat	space.mat	X
ma-50	1085	25	.	.	PUNCT
ma-50	1086	1	vesn	vesn	PROPN
ma-50	1086	2	,	,	PUNCT
ma-50	1086	3	61(4	61(4	NUM
ma-50	1086	4	)	)	PUNCT
ma-50	1086	5	(	(	PUNCT
ma-50	1086	6	2009	2009	NUM
ma-50	1086	7	)	)	PUNCT
ma-50	1086	8	247	247	NUM
ma-50	1086	9	-	-	SYM
ma-50	1086	10	256.[18	256.[18	NUM
ma-50	1086	11	]	]	PUNCT
ma-50	1086	12	a.	a.	NOUN
ma-50	1086	13	ratiq	ratiq	PROPN
ma-50	1086	14	,	,	PUNCT
ma-50	1086	15	on	on	ADP
ma-50	1086	16	the	the	DET
ma-50	1086	17	convergence	convergence	NOUN
ma-50	1086	18	of	of	ADP
ma-50	1086	19	the	the	DET
ma-50	1086	20	three	three	NUM
ma-50	1086	21	step	step	NOUN
ma-50	1086	22	iteration	iteration	NOUN
ma-50	1086	23	process	process	NOUN
ma-50	1086	24	in	in	ADP
ma-50	1086	25	the	the	DET
ma-50	1086	26	class	class	NOUN
ma-50	1086	27	of	of	ADP
ma-50	1086	28	quasi	quasi	ADJ
ma-50	1086	29	-	-	ADJ
ma-50	1086	30	contractive	contractive	ADJ
ma-50	1086	31	operators	operator	NOUN
ma-50	1086	32	,	,	PUNCT
ma-50	1086	33	acta	acta	PROPN
ma-50	1086	34	.	.	PUNCT
ma-50	1087	1	math	math	NOUN
ma-50	1087	2	.	.	PUNCT
ma-50	1088	1	acad	acad	PROPN
ma-50	1088	2	.	.	PUNCT
ma-50	1089	1	paedagag	paedagag	NOUN
ma-50	1089	2	nayhazi	nayhazi	PROPN
ma-50	1089	3	,	,	PUNCT
ma-50	1089	4	22	22	NUM
ma-50	1089	5	(	(	PUNCT
ma-50	1089	6	2006	2006	NUM
ma-50	1089	7	)	)	PUNCT
ma-50	1089	8	300	300	NUM
ma-50	1089	9	-	-	SYM
ma-50	1089	10	309.[19	309.[19	NUM
ma-50	1089	11	]	]	PUNCT
ma-50	1089	12	m.	m.	NOUN
ma-50	1089	13	a.	a.	PROPN
ma-50	1089	14	noor	noor	PROPN
ma-50	1089	15	,	,	PUNCT
ma-50	1089	16	new	new	ADJ
ma-50	1089	17	approximation	approximation	NOUN
ma-50	1089	18	schemes	scheme	NOUN
ma-50	1089	19	for	for	ADP
ma-50	1089	20	general	general	ADJ
ma-50	1089	21	variational	variational	ADJ
ma-50	1089	22	inequalities	inequality	NOUN
ma-50	1089	23	,	,	PUNCT
ma-50	1089	24	j.	j.	PROPN
ma-50	1089	25	math	math	PROPN
ma-50	1089	26	.	.	PUNCT
ma-50	1090	1	anal	anal	PROPN
ma-50	1090	2	.	.	PUNCT
ma-50	1090	3	appl	appl	PROPN
ma-50	1090	4	.	.	PUNCT
ma-50	1091	1	251	251	NUM
ma-50	1091	2	(	(	PUNCT
ma-50	1091	3	2000)217	2000)217	PROPN
ma-50	1091	4	-	-	SYM
ma-50	1091	5	229	229	NUM
ma-50	1091	6	.	.	PUNCT
ma-50	1092	1	https://doi.org/10.1006/jmaa.2000.7042	https://doi.org/10.1006/jmaa.2000.7042	PRON
ma-50	1092	2	.	.	NOUN
ma-50	1093	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	1093	2	https://doi.org/10.1155/2007/78628	https://doi.org/10.1155/2007/78628	NOUN
ma-50	1093	3	https://doi.org/10.1090/s0002-9947-1977-0433430-4	https://doi.org/10.1090/s0002-9947-1977-0433430-4	PROPN
ma-50	1093	4	https://doi.org/10.1090/s0002-9947-1974-0348565-1	https://doi.org/10.1090/s0002-9947-1974-0348565-1	INTJ
ma-50	1093	5	https://doi.org/10.1090/s0002-9947-1974-0348565-1	https://doi.org/10.1090/s0002-9947-1974-0348565-1	PROPN
ma-50	1093	6	https://doi.org/10.1006/jmaa.2000.7042	https://doi.org/10.1006/jmaa.2000.7042	PROPN
ma-50	1093	7	eur	eur	PROPN
ma-50	1093	8	.	.	PUNCT
ma-50	1094	1	j.	j.	PROPN
ma-50	1094	2	math	math	PROPN
ma-50	1094	3	.	.	PUNCT
ma-50	1095	1	anal	anal	PROPN
ma-50	1095	2	.	.	PUNCT
ma-50	1096	1	10.28924	10.28924	NUM
ma-50	1096	2	/	/	SYM
ma-50	1096	3	ada	ada	PROPN
ma-50	1096	4	/	/	SYM
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ma-50	1096	6	38	38	NUM
ma-50	1096	7	[	[	SYM
ma-50	1096	8	20	20	NUM
ma-50	1096	9	]	]	PUNCT
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ma-50	1096	11	a.	a.	PROPN
ma-50	1096	12	kirk	kirk	PROPN
ma-50	1096	13	,	,	PUNCT
ma-50	1096	14	on	on	ADP
ma-50	1096	15	successive	successive	ADJ
ma-50	1096	16	approximations	approximation	NOUN
ma-50	1096	17	for	for	ADP
ma-50	1096	18	nonexpansive	nonexpansive	ADJ
ma-50	1096	19	mappings	mapping	NOUN
ma-50	1096	20	in	in	ADP
ma-50	1096	21	banach	banach	NOUN
ma-50	1096	22	spaces	space	NOUN
ma-50	1096	23	,	,	PUNCT
ma-50	1096	24	glasg	glasg	PROPN
ma-50	1096	25	.	.	PUNCT
ma-50	1097	1	math	math	NOUN
ma-50	1097	2	.	.	PUNCT
ma-50	1098	1	j.	j.	PROPN
ma-50	1098	2	12	12	NUM
ma-50	1098	3	(	(	PUNCT
ma-50	1098	4	1971)6	1971)6	NUM
ma-50	1098	5	-	-	SYM
ma-50	1098	6	9.[21	9.[21	NUM
ma-50	1098	7	]	]	PUNCT
ma-50	1098	8	w.	w.	PROPN
ma-50	1098	9	r.	r.	PROPN
ma-50	1098	10	mann	mann	PROPN
ma-50	1098	11	,	,	PUNCT
ma-50	1098	12	mean	mean	ADJ
ma-50	1098	13	value	value	NOUN
ma-50	1098	14	method	method	NOUN
ma-50	1098	15	in	in	ADP
ma-50	1098	16	iteration	iteration	NOUN
ma-50	1098	17	,	,	PUNCT
ma-50	1098	18	proc	proc	NOUN
ma-50	1098	19	.	.	PUNCT
ma-50	1099	1	amer	amer	PROPN
ma-50	1099	2	.	.	PUNCT
ma-50	1099	3	math	math	PROPN
ma-50	1099	4	.	.	PUNCT
ma-50	1100	1	soc	soc	PROPN
ma-50	1100	2	.	.	PUNCT
ma-50	1101	1	44	44	NUM
ma-50	1101	2	(	(	PUNCT
ma-50	1101	3	2000	2000	NUM
ma-50	1101	4	)	)	PUNCT
ma-50	1101	5	506	506	NUM
ma-50	1101	6	-	-	SYM
ma-50	1101	7	510	510	NUM
ma-50	1101	8	.	.	PUNCT
ma-50	1102	1	https://doi.org/10	https://doi.org/10	PROPN
ma-50	1102	2	.	.	PUNCT
ma-50	1103	1	2307/2032162.[22	2307/2032162.[22	NUM
ma-50	1103	2	]	]	PUNCT
ma-50	1103	3	s.	s.	PROPN
ma-50	1103	4	ishikawa	ishikawa	PROPN
ma-50	1103	5	,	,	PUNCT
ma-50	1103	6	fixed	fix	VERB
ma-50	1103	7	points	point	NOUN
ma-50	1103	8	by	by	ADP
ma-50	1103	9	a	a	DET
ma-50	1103	10	new	new	ADJ
ma-50	1103	11	iteration	iteration	NOUN
ma-50	1103	12	methods	method	NOUN
ma-50	1103	13	,	,	PUNCT
ma-50	1103	14	proc	proc	NOUN
ma-50	1103	15	.	.	PUNCT
ma-50	1104	1	amer	amer	PROPN
ma-50	1104	2	.	.	PUNCT
ma-50	1104	3	math	math	PROPN
ma-50	1104	4	.	.	PUNCT
ma-50	1105	1	soc	soc	PROPN
ma-50	1105	2	.	.	PUNCT
ma-50	1106	1	44	44	NUM
ma-50	1106	2	(	(	PUNCT
ma-50	1106	3	1974	1974	NUM
ma-50	1106	4	)	)	PUNCT
ma-50	1106	5	147	147	NUM
ma-50	1106	6	-	-	SYM
ma-50	1106	7	150	150	NUM
ma-50	1106	8	.	.	PUNCT
ma-50	1107	1	https://doi	https://doi	PROPN
ma-50	1107	2	.	.	PUNCT
ma-50	1107	3	org/10.1090	org/10.1090	NOUN
ma-50	1107	4	/	/	SYM
ma-50	1107	5	s0002	s0002	NOUN
ma-50	1107	6	-	-	PUNCT
ma-50	1107	7	9939	9939	NUM
ma-50	1107	8	-	-	PUNCT
ma-50	1107	9	1974	1974	NUM
ma-50	1107	10	-	-	PUNCT
ma-50	1107	11	0336469	0336469	NUM
ma-50	1107	12	-	-	SYM
ma-50	1107	13	5.[23	5.[23	NUM
ma-50	1107	14	]	]	X
ma-50	1107	15	c.	c.	PROPN
ma-50	1107	16	o.	o.	PROPN
ma-50	1107	17	imoru	imoru	PROPN
ma-50	1107	18	,	,	PUNCT
ma-50	1107	19	m.	m.	NOUN
ma-50	1107	20	o.	o.	PROPN
ma-50	1107	21	olatinwo	olatinwo	PROPN
ma-50	1107	22	,	,	PUNCT
ma-50	1107	23	on	on	ADP
ma-50	1107	24	the	the	DET
ma-50	1107	25	stability	stability	NOUN
ma-50	1107	26	of	of	ADP
ma-50	1107	27	picard	picard	PROPN
ma-50	1107	28	’s	’s	PART
ma-50	1107	29	and	and	CCONJ
ma-50	1107	30	mann	mann	PROPN
ma-50	1107	31	’s	’s	PART
ma-50	1107	32	iteration	iteration	NOUN
ma-50	1107	33	,	,	PUNCT
ma-50	1107	34	carpath	carpath	PROPN
ma-50	1107	35	.	.	PUNCT
ma-50	1108	1	j.	j.	PROPN
ma-50	1108	2	math	math	PROPN
ma-50	1108	3	.	.	PUNCT
ma-50	1109	1	19	19	NUM
ma-50	1109	2	(	(	PUNCT
ma-50	1109	3	2003	2003	NUM
ma-50	1109	4	)	)	PUNCT
ma-50	1109	5	155	155	NUM
ma-50	1109	6	-	-	SYM
ma-50	1109	7	160.[24	160.[24	NUM
ma-50	1109	8	]	]	X
ma-50	1109	9	r.	r.	NOUN
ma-50	1109	10	chugh	chugh	NOUN
ma-50	1109	11	,	,	PUNCT
ma-50	1109	12	v.	v.	PROPN
ma-50	1109	13	kummar	kummar	NOUN
ma-50	1109	14	,	,	PUNCT
ma-50	1109	15	stability	stability	NOUN
ma-50	1109	16	of	of	ADP
ma-50	1109	17	hybrid	hybrid	ADJ
ma-50	1109	18	fixed	fix	VERB
ma-50	1109	19	point	point	NOUN
ma-50	1109	20	iterative	iterative	NOUN
ma-50	1109	21	algorithm	algorithm	NOUN
ma-50	1109	22	of	of	ADP
ma-50	1109	23	kirk	kirk	PROPN
ma-50	1109	24	-	-	PUNCT
ma-50	1109	25	noor	noor	PROPN
ma-50	1109	26	-	-	PUNCT
ma-50	1109	27	type	type	NOUN
ma-50	1109	28	in	in	ADP
ma-50	1109	29	nonlinear	nonlinear	ADJ
ma-50	1109	30	spaces	space	NOUN
ma-50	1109	31	forself	forself	PRON
ma-50	1109	32	and	and	CCONJ
ma-50	1109	33	nonself	nonself	PROPN
ma-50	1109	34	operators	operator	NOUN
ma-50	1109	35	,	,	PUNCT
ma-50	1109	36	int	int	NOUN
ma-50	1109	37	.	.	PUNCT
ma-50	1110	1	j.	j.	PROPN
ma-50	1110	2	contemp	contemp	PROPN
ma-50	1110	3	.	.	PUNCT
ma-50	1111	1	math	math	NOUN
ma-50	1111	2	.	.	PUNCT
ma-50	1112	1	sci	sci	PROPN
ma-50	1112	2	.	.	PROPN
ma-50	1112	3	7(24	7(24	NUM
ma-50	1112	4	)	)	PUNCT
ma-50	1112	5	(	(	PUNCT
ma-50	1112	6	2012	2012	NUM
ma-50	1112	7	)	)	PUNCT
ma-50	1112	8	1165	1165	NUM
ma-50	1112	9	-	-	SYM
ma-50	1112	10	1184.[25	1184.[25	NUM
ma-50	1112	11	]	]	PUNCT
ma-50	1112	12	r.	r.	PROPN
ma-50	1112	13	chugh	chugh	NOUN
ma-50	1112	14	,	,	PUNCT
ma-50	1112	15	v.	v.	PROPN
ma-50	1112	16	kummar	kummar	ADJ
ma-50	1112	17	,	,	PUNCT
ma-50	1112	18	strong	strong	ADJ
ma-50	1112	19	convergence	convergence	NOUN
ma-50	1112	20	of	of	ADP
ma-50	1112	21	sp	sp	ADP
ma-50	1112	22	iterative	iterative	NOUN
ma-50	1112	23	scheme	scheme	NOUN
ma-50	1112	24	for	for	ADP
ma-50	1112	25	quasi	quasi	ADJ
ma-50	1112	26	-	-	ADJ
ma-50	1112	27	contractive	contractive	ADJ
ma-50	1112	28	operators	operator	NOUN
ma-50	1112	29	,	,	PUNCT
ma-50	1112	30	int	int	PROPN
ma-50	1112	31	.	.	PUNCT
ma-50	1113	1	j.	j.	PROPN
ma-50	1113	2	comput.appl	comput.appl	PROPN
ma-50	1113	3	.	.	PUNCT
ma-50	1114	1	31(5	31(5	NUM
ma-50	1114	2	)	)	PUNCT
ma-50	1114	3	(	(	PUNCT
ma-50	1114	4	2011	2011	NUM
ma-50	1114	5	)	)	PUNCT
ma-50	1114	6	21	21	NUM
ma-50	1114	7	-	-	SYM
ma-50	1114	8	27.[26	27.[26	NUM
ma-50	1114	9	]	]	X
ma-50	1114	10	h.	h.	PROPN
ma-50	1114	11	akewe	akewe	PROPN
ma-50	1114	12	,	,	PUNCT
ma-50	1114	13	g.	g.	PROPN
ma-50	1114	14	a.	a.	PROPN
ma-50	1114	15	okeeke	okeeke	ADV
ma-50	1114	16	,	,	PUNCT
ma-50	1114	17	a.	a.	NOUN
ma-50	1114	18	olayiwola	olayiwola	NOUN
ma-50	1114	19	,	,	PUNCT
ma-50	1114	20	strong	strong	ADJ
ma-50	1114	21	convergence	convergence	NOUN
ma-50	1114	22	and	and	CCONJ
ma-50	1114	23	stability	stability	NOUN
ma-50	1114	24	of	of	ADP
ma-50	1114	25	kirk	kirk	NOUN
ma-50	1114	26	-	-	PUNCT
ma-50	1114	27	multistep	multistep	ADJ
ma-50	1114	28	-	-	PUNCT
ma-50	1114	29	type	type	NOUN
ma-50	1114	30	iterativeschemes	iterativescheme	NOUN
ma-50	1114	31	for	for	ADP
ma-50	1114	32	contractive	contractive	ADJ
ma-50	1114	33	-	-	PUNCT
ma-50	1114	34	type	type	NOUN
ma-50	1114	35	operators	operator	NOUN
ma-50	1114	36	,	,	PUNCT
ma-50	1114	37	fixed	fix	VERB
ma-50	1114	38	point	point	NOUN
ma-50	1114	39	theory	theory	NOUN
ma-50	1114	40	appl	appl	PROPN
ma-50	1114	41	.	.	PUNCT
ma-50	1115	1	2014	2014	NUM
ma-50	1115	2	(	(	PUNCT
ma-50	1115	3	2014	2014	NUM
ma-50	1115	4	)	)	PUNCT
ma-50	1115	5	45	45	NUM
ma-50	1115	6	.	.	PUNCT
ma-50	1116	1	https://doi.org/10.1186/	https://doi.org/10.1186/	PROPN
ma-50	1116	2	1687	1687	NUM
ma-50	1116	3	-	-	PUNCT
ma-50	1116	4	1812	1812	NUM
ma-50	1116	5	-	-	PUNCT
ma-50	1116	6	2014	2014	NUM
ma-50	1116	7	-	-	SYM
ma-50	1116	8	45.[27	45.[27	PROPN
ma-50	1116	9	]	]	X
ma-50	1116	10	f.	f.	PROPN
ma-50	1116	11	o.	o.	PROPN
ma-50	1116	12	lsogugu	lsogugu	PROPN
ma-50	1116	13	,	,	PUNCT
ma-50	1116	14	c.	c.	PROPN
ma-50	1116	15	izuchukwu	izuchukwu	PROPN
ma-50	1116	16	,	,	PUNCT
ma-50	1116	17	c.	c.	PROPN
ma-50	1116	18	c.	c.	PROPN
ma-50	1116	19	okeke	okeke	PROPN
ma-50	1116	20	,	,	PUNCT
ma-50	1116	21	new	new	ADJ
ma-50	1116	22	iteration	iteration	NOUN
ma-50	1116	23	scheme	scheme	NOUN
ma-50	1116	24	for	for	ADP
ma-50	1116	25	approximating	approximate	VERB
ma-50	1116	26	a	a	DET
ma-50	1116	27	common	common	ADJ
ma-50	1116	28	fixed	fix	VERB
ma-50	1116	29	point	point	NOUN
ma-50	1116	30	of	of	ADP
ma-50	1116	31	a	a	DET
ma-50	1116	32	finitefamily	finitefamily	ADV
ma-50	1116	33	of	of	ADP
ma-50	1116	34	mappings	mapping	NOUN
ma-50	1116	35	,	,	PUNCT
ma-50	1116	36	j.	j.	PROPN
ma-50	1116	37	math	math	PROPN
ma-50	1116	38	.	.	PUNCT
ma-50	1117	1	2020	2020	NUM
ma-50	1117	2	(	(	PUNCT
ma-50	1117	3	2020	2020	NUM
ma-50	1117	4	)	)	PUNCT
ma-50	1117	5	3287968	3287968	NUM
ma-50	1117	6	.	.	PUNCT
ma-50	1118	1	https://doi.org/10.1155/2020/3287968.[28	https://doi.org/10.1155/2020/3287968.[28	PROPN
ma-50	1118	2	]	]	X
ma-50	1118	3	i.	i.	PROPN
ma-50	1118	4	k.	k.	PROPN
ma-50	1118	5	agwu	agwu	PROPN
ma-50	1118	6	,	,	PUNCT
ma-50	1118	7	d.	d.	PROPN
ma-50	1118	8	i.	i.	PROPN
ma-50	1118	9	igbokwe	igbokwe	PROPN
ma-50	1118	10	,	,	PUNCT
ma-50	1118	11	new	new	ADJ
ma-50	1118	12	iteration	iteration	NOUN
ma-50	1118	13	algorithm	algorithm	NOUN
ma-50	1118	14	for	for	ADP
ma-50	1118	15	equilibrium	equilibrium	NOUN
ma-50	1118	16	problems	problem	NOUN
ma-50	1118	17	and	and	CCONJ
ma-50	1118	18	fixed	fix	VERB
ma-50	1118	19	point	point	NOUN
ma-50	1118	20	problems	problem	NOUN
ma-50	1118	21	of	of	ADP
ma-50	1118	22	two	two	NUM
ma-50	1118	23	finitefamilies	finitefamilie	NOUN
ma-50	1118	24	of	of	ADP
ma-50	1118	25	asymptotically	asymptotically	ADV
ma-50	1118	26	demicontractive	demicontractive	VERB
ma-50	1118	27	multivalued	multivalued	ADJ
ma-50	1118	28	mappings	mapping	NOUN
ma-50	1118	29	,	,	PUNCT
ma-50	1118	30	(	(	PUNCT
ma-50	1118	31	in	in	ADP
ma-50	1118	32	press	press	NOUN
ma-50	1118	33	)	)	PUNCT
ma-50	1118	34	.	.	PUNCT
ma-50	1119	1	https://doi.org/10.28924/ada/ma.2.1	https://doi.org/10.28924/ada/ma.2.1	NUM
ma-50	1119	2	https://doi.org/10.2307/2032162	https://doi.org/10.2307/2032162	NOUN
ma-50	1119	3	https://doi.org/10.2307/2032162	https://doi.org/10.2307/2032162	NOUN
ma-50	1119	4	https://doi.org/10.1090/s0002-9939-1974-0336469-5	https://doi.org/10.1090/s0002-9939-1974-0336469-5	PROPN
ma-50	1119	5	https://doi.org/10.1090/s0002-9939-1974-0336469-5	https://doi.org/10.1090/s0002-9939-1974-0336469-5	PROPN
ma-50	1119	6	https://doi.org/10.1186/1687-1812-2014-45	https://doi.org/10.1186/1687-1812-2014-45	PROPN
ma-50	1119	7	https://doi.org/10.1186/1687-1812-2014-45	https://doi.org/10.1186/1687-1812-2014-45	PROPN
ma-50	1119	8	https://doi.org/10.1155/2020/3287968	https://doi.org/10.1155/2020/3287968	PROPN
ma-50	1119	9	1	1	NUM
ma-50	1119	10	.	.	PUNCT
ma-50	1119	11	introduction	introduction	NOUN
ma-50	1119	12	2	2	NUM
ma-50	1119	13	.	.	PUNCT
ma-50	1119	14	preliminary	preliminary	ADJ
ma-50	1119	15	3	3	NUM
ma-50	1119	16	.	.	PUNCT
ma-50	1119	17	main	main	ADJ
ma-50	1119	18	results	result	NOUN
ma-50	1119	19	i	i	PRON
ma-50	1119	20	4	4	NUM
ma-50	1119	21	.	.	PUNCT
ma-50	1119	22	main	main	ADJ
ma-50	1119	23	results	result	NOUN
ma-50	1119	24	ii	ii	NOUN
ma-50	1119	25	references	reference	NOUN