id	sid	tid	token	lemma	pos
ejpam-3310	1	1	double	double	ADJ
ejpam-3310	1	2	lusin	lusin	NOUN
ejpam-3310	1	3	condition	condition	NOUN
ejpam-3310	1	4	for	for	ADP
ejpam-3310	1	5	the	the	DET
ejpam-3310	1	6	it	it	PRON
ejpam-3310	1	7	o	o	NOUN
ejpam-3310	1	8	-	-	ADJ
ejpam-3310	1	9	henstock	henstock	ADJ
ejpam-3310	1	10	integrable	integrable	ADJ
ejpam-3310	1	11	operator	operator	NOUN
ejpam-3310	1	12	-	-	PUNCT
ejpam-3310	1	13	valued	value	VERB
ejpam-3310	1	14	stochastic	stochastic	ADJ
ejpam-3310	1	15	process	process	NOUN
ejpam-3310	1	16	european	european	ADJ
ejpam-3310	1	17	journal	journal	PROPN
ejpam-3310	1	18	of	of	ADP
ejpam-3310	1	19	pure	pure	ADJ
ejpam-3310	1	20	and	and	CCONJ
ejpam-3310	1	21	applied	apply	VERB
ejpam-3310	1	22	mathematics	mathematic	NOUN
ejpam-3310	1	23	vol	vol	NOUN
ejpam-3310	1	24	.	.	PUNCT
ejpam-3310	2	1	11	11	NUM
ejpam-3310	2	2	,	,	PUNCT
ejpam-3310	2	3	no	no	INTJ
ejpam-3310	2	4	.	.	NOUN
ejpam-3310	2	5	4	4	NUM
ejpam-3310	2	6	,	,	PUNCT
ejpam-3310	2	7	2018	2018	NUM
ejpam-3310	2	8	,	,	PUNCT
ejpam-3310	2	9	1003	1003	NUM
ejpam-3310	2	10	-	-	SYM
ejpam-3310	2	11	1013	1013	NUM
ejpam-3310	2	12	issn	issn	PROPN
ejpam-3310	2	13	1307	1307	NUM
ejpam-3310	2	14	-	-	SYM
ejpam-3310	2	15	5543	5543	NUM
ejpam-3310	2	16	–	–	PUNCT
ejpam-3310	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-3310	2	18	published	publish	VERB
ejpam-3310	2	19	by	by	ADP
ejpam-3310	2	20	new	new	PROPN
ejpam-3310	2	21	york	york	PROPN
ejpam-3310	2	22	business	business	PROPN
ejpam-3310	2	23	global	global	PROPN
ejpam-3310	2	24	double	double	ADJ
ejpam-3310	2	25	lusin	lusin	NOUN
ejpam-3310	2	26	condition	condition	NOUN
ejpam-3310	2	27	for	for	ADP
ejpam-3310	2	28	the	the	DET
ejpam-3310	2	29	itô-henstock	itô-henstock	PROPN
ejpam-3310	2	30	integrable	integrable	ADJ
ejpam-3310	2	31	operator	operator	NOUN
ejpam-3310	2	32	-	-	PUNCT
ejpam-3310	2	33	valued	value	VERB
ejpam-3310	2	34	stochastic	stochastic	ADJ
ejpam-3310	2	35	process	process	NOUN
ejpam-3310	2	36	mhelmar	mhelmar	PROPN
ejpam-3310	2	37	a.	a.	PROPN
ejpam-3310	2	38	labendia1,∗	labendia1,∗	PROPN
ejpam-3310	2	39	,	,	PUNCT
ejpam-3310	2	40	jayrold	jayrold	ADJ
ejpam-3310	2	41	p.	p.	NOUN
ejpam-3310	2	42	arcede2	arcede2	PUNCT
ejpam-3310	3	1	1	1	NUM
ejpam-3310	3	2	department	department	NOUN
ejpam-3310	3	3	of	of	ADP
ejpam-3310	3	4	mathematics	mathematic	NOUN
ejpam-3310	3	5	and	and	CCONJ
ejpam-3310	3	6	statistics	statistic	NOUN
ejpam-3310	3	7	,	,	PUNCT
ejpam-3310	3	8	college	college	NOUN
ejpam-3310	3	9	of	of	ADP
ejpam-3310	3	10	science	science	NOUN
ejpam-3310	3	11	and	and	CCONJ
ejpam-3310	3	12	mathematics	mathematic	NOUN
ejpam-3310	3	13	,	,	PUNCT
ejpam-3310	3	14	mindanao	mindanao	PROPN
ejpam-3310	3	15	state	state	PROPN
ejpam-3310	3	16	university	university	PROPN
ejpam-3310	3	17	-	-	PUNCT
ejpam-3310	3	18	iligan	iligan	PROPN
ejpam-3310	3	19	institute	institute	PROPN
ejpam-3310	3	20	of	of	ADP
ejpam-3310	3	21	technology	technology	PROPN
ejpam-3310	3	22	,	,	PUNCT
ejpam-3310	3	23	9200	9200	NUM
ejpam-3310	3	24	iligan	iligan	ADJ
ejpam-3310	3	25	city	city	NOUN
ejpam-3310	3	26	,	,	PUNCT
ejpam-3310	3	27	philippines	philippines	PROPN
ejpam-3310	3	28	2	2	NUM
ejpam-3310	3	29	department	department	NOUN
ejpam-3310	3	30	of	of	ADP
ejpam-3310	3	31	mathematics	mathematic	NOUN
ejpam-3310	3	32	,	,	PUNCT
ejpam-3310	3	33	college	college	NOUN
ejpam-3310	3	34	of	of	ADP
ejpam-3310	3	35	arts	art	NOUN
ejpam-3310	3	36	and	and	CCONJ
ejpam-3310	3	37	sciences	science	NOUN
ejpam-3310	3	38	,	,	PUNCT
ejpam-3310	3	39	caraga	caraga	PROPN
ejpam-3310	3	40	state	state	PROPN
ejpam-3310	3	41	university	university	PROPN
ejpam-3310	3	42	,	,	PUNCT
ejpam-3310	3	43	8600	8600	NUM
ejpam-3310	3	44	butuan	butuan	PROPN
ejpam-3310	3	45	city	city	NOUN
ejpam-3310	3	46	,	,	PUNCT
ejpam-3310	3	47	philippines	philippine	NOUN
ejpam-3310	3	48	abstract	abstract	ADJ
ejpam-3310	3	49	.	.	PUNCT
ejpam-3310	4	1	in	in	ADP
ejpam-3310	4	2	this	this	DET
ejpam-3310	4	3	paper	paper	NOUN
ejpam-3310	4	4	,	,	PUNCT
ejpam-3310	4	5	using	use	VERB
ejpam-3310	4	6	double	double	ADJ
ejpam-3310	4	7	lusin	lusin	NOUN
ejpam-3310	4	8	condition	condition	NOUN
ejpam-3310	4	9	,	,	PUNCT
ejpam-3310	4	10	we	we	PRON
ejpam-3310	4	11	give	give	VERB
ejpam-3310	4	12	an	an	DET
ejpam-3310	4	13	equivalent	equivalent	ADJ
ejpam-3310	4	14	definition	definition	NOUN
ejpam-3310	4	15	of	of	ADP
ejpam-3310	4	16	the	the	DET
ejpam-3310	4	17	itôhenstock	itôhenstock	NOUN
ejpam-3310	4	18	integral	integral	ADJ
ejpam-3310	4	19	of	of	ADP
ejpam-3310	4	20	an	an	DET
ejpam-3310	4	21	operator	operator	NOUN
ejpam-3310	4	22	-	-	PUNCT
ejpam-3310	4	23	valued	value	VERB
ejpam-3310	4	24	stochastic	stochastic	ADJ
ejpam-3310	4	25	process	process	NOUN
ejpam-3310	4	26	with	with	ADP
ejpam-3310	4	27	respect	respect	NOUN
ejpam-3310	4	28	to	to	ADP
ejpam-3310	4	29	a	a	DET
ejpam-3310	4	30	hilbert	hilbert	NOUN
ejpam-3310	4	31	space	space	NOUN
ejpam-3310	4	32	-	-	PUNCT
ejpam-3310	4	33	valued	value	VERB
ejpam-3310	4	34	wiener	wiener	NOUN
ejpam-3310	4	35	process	process	NOUN
ejpam-3310	4	36	.	.	PUNCT
ejpam-3310	5	1	2010	2010	NUM
ejpam-3310	5	2	mathematics	mathematic	NOUN
ejpam-3310	5	3	subject	subject	NOUN
ejpam-3310	5	4	classifications	classification	NOUN
ejpam-3310	5	5	:	:	PUNCT
ejpam-3310	5	6	60h30	60h30	NUM
ejpam-3310	5	7	,	,	PUNCT
ejpam-3310	5	8	60h05	60h05	NUM
ejpam-3310	5	9	key	key	ADJ
ejpam-3310	5	10	words	word	NOUN
ejpam-3310	5	11	and	and	CCONJ
ejpam-3310	5	12	phrases	phrase	NOUN
ejpam-3310	5	13	:	:	PUNCT
ejpam-3310	5	14	itô-henstock	itô-henstock	PROPN
ejpam-3310	5	15	integral	integral	ADJ
ejpam-3310	5	16	,	,	PUNCT
ejpam-3310	5	17	q	q	ADJ
ejpam-3310	5	18	-	-	PUNCT
ejpam-3310	5	19	wiener	wiener	NOUN
ejpam-3310	5	20	process	process	NOUN
ejpam-3310	5	21	,	,	PUNCT
ejpam-3310	5	22	double	double	ADJ
ejpam-3310	5	23	lusin	lusin	NOUN
ejpam-3310	5	24	condition	condition	NOUN
ejpam-3310	5	25	1	1	NUM
ejpam-3310	5	26	.	.	PUNCT
ejpam-3310	5	27	introduction	introduction	NOUN
ejpam-3310	5	28	the	the	DET
ejpam-3310	5	29	henstock	henstock	NOUN
ejpam-3310	5	30	integral	integral	ADJ
ejpam-3310	5	31	,	,	PUNCT
ejpam-3310	5	32	which	which	PRON
ejpam-3310	5	33	was	be	AUX
ejpam-3310	5	34	studied	study	VERB
ejpam-3310	5	35	independently	independently	ADV
ejpam-3310	5	36	by	by	ADP
ejpam-3310	5	37	henstock	henstock	NOUN
ejpam-3310	5	38	and	and	CCONJ
ejpam-3310	5	39	kurzweil	kurzweil	PROPN
ejpam-3310	5	40	in	in	ADP
ejpam-3310	5	41	the	the	DET
ejpam-3310	5	42	1950s	1950	NOUN
ejpam-3310	5	43	and	and	CCONJ
ejpam-3310	5	44	later	later	ADV
ejpam-3310	5	45	known	know	VERB
ejpam-3310	5	46	as	as	ADP
ejpam-3310	5	47	the	the	DET
ejpam-3310	5	48	henstock	henstock	NOUN
ejpam-3310	5	49	-	-	PUNCT
ejpam-3310	5	50	kurzweil	kurzweil	PROPN
ejpam-3310	5	51	integral	integral	NOUN
ejpam-3310	5	52	,	,	PUNCT
ejpam-3310	5	53	is	be	AUX
ejpam-3310	5	54	one	one	NUM
ejpam-3310	5	55	of	of	ADP
ejpam-3310	5	56	the	the	DET
ejpam-3310	5	57	notable	notable	ADJ
ejpam-3310	5	58	integrals	integral	NOUN
ejpam-3310	5	59	that	that	PRON
ejpam-3310	5	60	was	be	AUX
ejpam-3310	5	61	introduced	introduce	VERB
ejpam-3310	5	62	which	which	PRON
ejpam-3310	5	63	in	in	ADP
ejpam-3310	5	64	some	some	DET
ejpam-3310	5	65	sense	sense	NOUN
ejpam-3310	5	66	is	be	AUX
ejpam-3310	5	67	more	more	ADV
ejpam-3310	5	68	general	general	ADJ
ejpam-3310	5	69	than	than	SCONJ
ejpam-3310	5	70	the	the	DET
ejpam-3310	5	71	lebesgue	lebesgue	NOUN
ejpam-3310	5	72	integral	integral	ADJ
ejpam-3310	5	73	.	.	PUNCT
ejpam-3310	6	1	to	to	PART
ejpam-3310	6	2	avoid	avoid	VERB
ejpam-3310	6	3	an	an	DET
ejpam-3310	6	4	extensive	extensive	ADJ
ejpam-3310	6	5	study	study	NOUN
ejpam-3310	6	6	of	of	ADP
ejpam-3310	6	7	measure	measure	NOUN
ejpam-3310	6	8	theory	theory	NOUN
ejpam-3310	6	9	,	,	PUNCT
ejpam-3310	6	10	henstock	henstock	NOUN
ejpam-3310	6	11	-	-	PUNCT
ejpam-3310	6	12	kurzweil	kurzweil	NOUN
ejpam-3310	6	13	integration	integration	NOUN
ejpam-3310	6	14	had	have	AUX
ejpam-3310	6	15	been	be	AUX
ejpam-3310	6	16	deeply	deeply	ADV
ejpam-3310	6	17	studied	study	VERB
ejpam-3310	6	18	and	and	CCONJ
ejpam-3310	6	19	investigated	investigate	VERB
ejpam-3310	6	20	by	by	ADP
ejpam-3310	6	21	numerous	numerous	ADJ
ejpam-3310	6	22	authors	author	NOUN
ejpam-3310	6	23	,	,	PUNCT
ejpam-3310	6	24	see	see	VERB
ejpam-3310	6	25	[	[	X
ejpam-3310	6	26	3–5	3–5	NOUN
ejpam-3310	6	27	,	,	PUNCT
ejpam-3310	6	28	8–10	8–10	NOUN
ejpam-3310	6	29	]	]	PUNCT
ejpam-3310	6	30	.	.	PUNCT
ejpam-3310	7	1	the	the	DET
ejpam-3310	7	2	henstock	henstock	PROPN
ejpam-3310	7	3	-	-	PUNCT
ejpam-3310	7	4	kurzweil	kurzweil	NOUN
ejpam-3310	7	5	integral	integral	PROPN
ejpam-3310	7	6	is	be	AUX
ejpam-3310	7	7	a	a	DET
ejpam-3310	7	8	riemann	riemann	NOUN
ejpam-3310	7	9	-	-	PUNCT
ejpam-3310	7	10	type	type	NOUN
ejpam-3310	7	11	definition	definition	NOUN
ejpam-3310	7	12	of	of	ADP
ejpam-3310	7	13	an	an	DET
ejpam-3310	7	14	integral	integral	ADJ
ejpam-3310	7	15	which	which	PRON
ejpam-3310	7	16	is	be	AUX
ejpam-3310	7	17	more	more	ADV
ejpam-3310	7	18	explicit	explicit	ADJ
ejpam-3310	7	19	and	and	CCONJ
ejpam-3310	7	20	minimizes	minimize	VERB
ejpam-3310	7	21	the	the	DET
ejpam-3310	7	22	technicalities	technicality	NOUN
ejpam-3310	7	23	in	in	ADP
ejpam-3310	7	24	the	the	DET
ejpam-3310	7	25	classical	classical	ADJ
ejpam-3310	7	26	approach	approach	NOUN
ejpam-3310	7	27	of	of	ADP
ejpam-3310	7	28	the	the	DET
ejpam-3310	7	29	lebesgue	lebesgue	NOUN
ejpam-3310	7	30	integral	integral	ADJ
ejpam-3310	7	31	.	.	PUNCT
ejpam-3310	8	1	this	this	DET
ejpam-3310	8	2	approach	approach	NOUN
ejpam-3310	8	3	to	to	ADP
ejpam-3310	8	4	integration	integration	NOUN
ejpam-3310	8	5	is	be	AUX
ejpam-3310	8	6	known	know	VERB
ejpam-3310	8	7	as	as	ADP
ejpam-3310	8	8	the	the	DET
ejpam-3310	8	9	generalized	generalize	VERB
ejpam-3310	8	10	riemann	riemann	PROPN
ejpam-3310	8	11	approach	approach	NOUN
ejpam-3310	8	12	or	or	CCONJ
ejpam-3310	8	13	henstock	henstock	NOUN
ejpam-3310	8	14	approach	approach	NOUN
ejpam-3310	8	15	.	.	PUNCT
ejpam-3310	9	1	in	in	ADP
ejpam-3310	9	2	the	the	DET
ejpam-3310	9	3	classical	classical	ADJ
ejpam-3310	9	4	approach	approach	NOUN
ejpam-3310	9	5	to	to	ADP
ejpam-3310	9	6	stochastic	stochastic	ADJ
ejpam-3310	9	7	integration	integration	NOUN
ejpam-3310	9	8	,	,	PUNCT
ejpam-3310	9	9	the	the	DET
ejpam-3310	9	10	itô	itô	PROPN
ejpam-3310	9	11	integral	integral	ADJ
ejpam-3310	9	12	of	of	ADP
ejpam-3310	9	13	a	a	DET
ejpam-3310	9	14	real	real	ADV
ejpam-3310	9	15	-	-	PUNCT
ejpam-3310	9	16	valued	value	VERB
ejpam-3310	9	17	stochastic	stochastic	ADJ
ejpam-3310	9	18	process	process	NOUN
ejpam-3310	9	19	,	,	PUNCT
ejpam-3310	9	20	which	which	PRON
ejpam-3310	9	21	is	be	AUX
ejpam-3310	9	22	adapted	adapt	VERB
ejpam-3310	9	23	to	to	ADP
ejpam-3310	9	24	a	a	DET
ejpam-3310	9	25	filtration	filtration	NOUN
ejpam-3310	9	26	,	,	PUNCT
ejpam-3310	9	27	is	be	AUX
ejpam-3310	9	28	attained	attain	VERB
ejpam-3310	9	29	from	from	ADP
ejpam-3310	9	30	a	a	DET
ejpam-3310	9	31	limit	limit	NOUN
ejpam-3310	9	32	of	of	ADP
ejpam-3310	9	33	itô	itô	PROPN
ejpam-3310	9	34	integrals	integral	NOUN
ejpam-3310	9	35	of	of	ADP
ejpam-3310	9	36	simple	simple	ADJ
ejpam-3310	9	37	processes	process	NOUN
ejpam-3310	9	38	.	.	PUNCT
ejpam-3310	10	1	to	to	PART
ejpam-3310	10	2	give	give	VERB
ejpam-3310	10	3	a	a	DET
ejpam-3310	10	4	more	more	ADV
ejpam-3310	10	5	explicit	explicit	ADJ
ejpam-3310	10	6	definition	definition	NOUN
ejpam-3310	10	7	and	and	CCONJ
ejpam-3310	10	8	reduce	reduce	VERB
ejpam-3310	10	9	the	the	DET
ejpam-3310	10	10	technicalities	technicality	NOUN
ejpam-3310	10	11	in	in	ADP
ejpam-3310	10	12	the	the	DET
ejpam-3310	10	13	classical	classical	ADJ
ejpam-3310	10	14	way	way	NOUN
ejpam-3310	10	15	of	of	ADP
ejpam-3310	10	16	defining	define	VERB
ejpam-3310	10	17	the	the	DET
ejpam-3310	10	18	itô	itô	PROPN
ejpam-3310	10	19	integral	integral	ADJ
ejpam-3310	10	20	in	in	ADP
ejpam-3310	10	21	the	the	DET
ejpam-3310	10	22	real	real	ADV
ejpam-3310	10	23	-	-	PUNCT
ejpam-3310	10	24	valued	value	VERB
ejpam-3310	10	25	case	case	NOUN
ejpam-3310	10	26	,	,	PUNCT
ejpam-3310	10	27	henstock	henstock	NOUN
ejpam-3310	10	28	approach	approach	NOUN
ejpam-3310	10	29	to	to	ADP
ejpam-3310	10	30	stochastic	stochastic	ADJ
ejpam-3310	10	31	integration	integration	NOUN
ejpam-3310	10	32	had	have	AUX
ejpam-3310	10	33	already	already	ADV
ejpam-3310	10	34	been	be	AUX
ejpam-3310	10	35	studied	study	VERB
ejpam-3310	10	36	in	in	ADP
ejpam-3310	10	37	several	several	ADJ
ejpam-3310	10	38	papers	paper	NOUN
ejpam-3310	10	39	,	,	PUNCT
ejpam-3310	10	40	see	see	VERB
ejpam-3310	10	41	[	[	X
ejpam-3310	10	42	12	12	NUM
ejpam-3310	10	43	,	,	PUNCT
ejpam-3310	10	44	13	13	NUM
ejpam-3310	10	45	,	,	PUNCT
ejpam-3310	10	46	17–19	17–19	NUM
ejpam-3310	10	47	]	]	PUNCT
ejpam-3310	10	48	.	.	PUNCT
ejpam-3310	11	1	in	in	ADP
ejpam-3310	11	2	infinite	infinite	ADJ
ejpam-3310	11	3	dimensional	dimensional	ADJ
ejpam-3310	11	4	spaces	space	NOUN
ejpam-3310	11	5	,	,	PUNCT
ejpam-3310	11	6	the	the	DET
ejpam-3310	11	7	itô	itô	PROPN
ejpam-3310	11	8	integral	integral	ADJ
ejpam-3310	11	9	of	of	ADP
ejpam-3310	11	10	an	an	DET
ejpam-3310	11	11	operator	operator	NOUN
ejpam-3310	11	12	-	-	PUNCT
ejpam-3310	11	13	valued	value	VERB
ejpam-3310	11	14	stochastic	stochastic	ADJ
ejpam-3310	11	15	process	process	NOUN
ejpam-3310	11	16	,	,	PUNCT
ejpam-3310	11	17	adapted	adapt	VERB
ejpam-3310	11	18	to	to	ADP
ejpam-3310	11	19	a	a	DET
ejpam-3310	11	20	normal	normal	ADJ
ejpam-3310	11	21	filtration	filtration	NOUN
ejpam-3310	11	22	,	,	PUNCT
ejpam-3310	11	23	is	be	AUX
ejpam-3310	11	24	obtained	obtain	VERB
ejpam-3310	11	25	by	by	ADP
ejpam-3310	11	26	extending	extend	VERB
ejpam-3310	11	27	an	an	DET
ejpam-3310	11	28	isometry	isometry	NOUN
ejpam-3310	11	29	from	from	ADP
ejpam-3310	11	30	the	the	DET
ejpam-3310	11	31	space	space	NOUN
ejpam-3310	11	32	of	of	ADP
ejpam-3310	11	33	∗corresponding	∗corresponde	VERB
ejpam-3310	11	34	author	author	NOUN
ejpam-3310	11	35	.	.	PUNCT
ejpam-3310	12	1	doi	doi	NOUN
ejpam-3310	12	2	:	:	PUNCT
ejpam-3310	12	3	https://doi.org/10.29020/nybg.ejpam.v11i4.3310	https://doi.org/10.29020/nybg.ejpam.v11i4.3310	NOUN
ejpam-3310	12	4	email	email	NOUN
ejpam-3310	12	5	addresses	address	VERB
ejpam-3310	12	6	:	:	PUNCT
ejpam-3310	12	7	mhelmar.labendia@g.msuiit.edu.ph	mhelmar.labendia@g.msuiit.edu.ph	PROPN
ejpam-3310	12	8	(	(	PUNCT
ejpam-3310	12	9	m.	m.	NOUN
ejpam-3310	12	10	labendia	labendia	PROPN
ejpam-3310	12	11	)	)	PUNCT
ejpam-3310	12	12	,	,	PUNCT
ejpam-3310	12	13	jparcede@carsu.edu.ph	jparcede@carsu.edu.ph	NOUN
ejpam-3310	12	14	(	(	PUNCT
ejpam-3310	12	15	j.	j.	PROPN
ejpam-3310	12	16	arcede	arcede	PROPN
ejpam-3310	12	17	)	)	PUNCT
ejpam-3310	12	18	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-3310	12	19	1003	1003	NUM
ejpam-3310	13	1	c	c	NOUN
ejpam-3310	13	2	©	©	PROPN
ejpam-3310	13	3	2018	2018	NUM
ejpam-3310	13	4	ejpam	ejpam	VERB
ejpam-3310	13	5	all	all	DET
ejpam-3310	13	6	rights	right	NOUN
ejpam-3310	13	7	reserved	reserve	VERB
ejpam-3310	13	8	.	.	PUNCT
ejpam-3310	14	1	m.	m.	NOUN
ejpam-3310	14	2	labendia	labendia	PROPN
ejpam-3310	14	3	,	,	PUNCT
ejpam-3310	14	4	j.	j.	PROPN
ejpam-3310	14	5	arcede	arcede	PROPN
ejpam-3310	14	6	/	/	SYM
ejpam-3310	14	7	eur	eur	PROPN
ejpam-3310	14	8	.	.	PUNCT
ejpam-3310	15	1	j.	j.	PROPN
ejpam-3310	15	2	pure	pure	PROPN
ejpam-3310	15	3	appl	appl	PROPN
ejpam-3310	15	4	.	.	PROPN
ejpam-3310	15	5	math	math	PROPN
ejpam-3310	15	6	,	,	PUNCT
ejpam-3310	15	7	11	11	NUM
ejpam-3310	15	8	(	(	PUNCT
ejpam-3310	15	9	4	4	NUM
ejpam-3310	15	10	)	)	PUNCT
ejpam-3310	15	11	(	(	PUNCT
ejpam-3310	15	12	2018	2018	NUM
ejpam-3310	15	13	)	)	PUNCT
ejpam-3310	15	14	,	,	PUNCT
ejpam-3310	15	15	1003	1003	NUM
ejpam-3310	15	16	-	-	SYM
ejpam-3310	15	17	1013	1013	NUM
ejpam-3310	15	18	1004	1004	NUM
ejpam-3310	15	19	elementary	elementary	ADJ
ejpam-3310	15	20	processes	process	NOUN
ejpam-3310	15	21	to	to	ADP
ejpam-3310	15	22	the	the	DET
ejpam-3310	15	23	space	space	NOUN
ejpam-3310	15	24	of	of	ADP
ejpam-3310	15	25	continuous	continuous	ADJ
ejpam-3310	15	26	square	square	ADJ
ejpam-3310	15	27	-	-	PUNCT
ejpam-3310	15	28	integrable	integrable	ADJ
ejpam-3310	15	29	martingales	martingale	NOUN
ejpam-3310	15	30	.	.	PUNCT
ejpam-3310	16	1	in	in	ADP
ejpam-3310	16	2	this	this	DET
ejpam-3310	16	3	case	case	NOUN
ejpam-3310	16	4	,	,	PUNCT
ejpam-3310	16	5	the	the	DET
ejpam-3310	16	6	value	value	NOUN
ejpam-3310	16	7	of	of	ADP
ejpam-3310	16	8	the	the	DET
ejpam-3310	16	9	integrand	integrand	NOUN
ejpam-3310	16	10	is	be	AUX
ejpam-3310	16	11	a	a	DET
ejpam-3310	16	12	hilbert	hilbert	NOUN
ejpam-3310	16	13	-	-	PUNCT
ejpam-3310	16	14	schmidt	schmidt	NOUN
ejpam-3310	16	15	operator	operator	NOUN
ejpam-3310	16	16	and	and	CCONJ
ejpam-3310	16	17	the	the	DET
ejpam-3310	16	18	integrator	integrator	NOUN
ejpam-3310	16	19	is	be	AUX
ejpam-3310	16	20	a	a	DET
ejpam-3310	16	21	qwiener	qwiener	ADJ
ejpam-3310	16	22	process	process	NOUN
ejpam-3310	16	23	,	,	PUNCT
ejpam-3310	16	24	a	a	DET
ejpam-3310	16	25	hilbert	hilbert	NOUN
ejpam-3310	16	26	space	space	NOUN
ejpam-3310	16	27	-	-	PUNCT
ejpam-3310	16	28	valued	value	VERB
ejpam-3310	16	29	wiener	wiener	NOUN
ejpam-3310	16	30	process	process	NOUN
ejpam-3310	16	31	which	which	PRON
ejpam-3310	16	32	is	be	AUX
ejpam-3310	16	33	dependent	dependent	ADJ
ejpam-3310	16	34	on	on	ADP
ejpam-3310	16	35	a	a	DET
ejpam-3310	16	36	symmetric	symmetric	ADJ
ejpam-3310	16	37	nonnegative	nonnegative	ADJ
ejpam-3310	16	38	definite	definite	ADJ
ejpam-3310	16	39	trace	trace	NOUN
ejpam-3310	16	40	-	-	PUNCT
ejpam-3310	16	41	class	class	NOUN
ejpam-3310	16	42	operator	operator	NOUN
ejpam-3310	16	43	q.	q.	NOUN
ejpam-3310	16	44	in	in	ADP
ejpam-3310	16	45	[	[	X
ejpam-3310	16	46	7	7	NUM
ejpam-3310	16	47	]	]	PUNCT
ejpam-3310	16	48	,	,	PUNCT
ejpam-3310	16	49	the	the	DET
ejpam-3310	16	50	authors	author	NOUN
ejpam-3310	16	51	defined	define	VERB
ejpam-3310	16	52	the	the	DET
ejpam-3310	16	53	itô-henstock	itô-henstock	NOUN
ejpam-3310	16	54	integral	integral	ADJ
ejpam-3310	16	55	of	of	ADP
ejpam-3310	16	56	an	an	DET
ejpam-3310	16	57	operator	operator	NOUN
ejpam-3310	16	58	-	-	PUNCT
ejpam-3310	16	59	valued	value	VERB
ejpam-3310	16	60	stochastic	stochastic	ADJ
ejpam-3310	16	61	process	process	NOUN
ejpam-3310	16	62	with	with	ADP
ejpam-3310	16	63	respect	respect	NOUN
ejpam-3310	16	64	to	to	ADP
ejpam-3310	16	65	a	a	DET
ejpam-3310	16	66	q	q	ADJ
ejpam-3310	16	67	-	-	PUNCT
ejpam-3310	16	68	wiener	wiener	NOUN
ejpam-3310	16	69	process	process	NOUN
ejpam-3310	16	70	and	and	CCONJ
ejpam-3310	16	71	formulated	formulate	VERB
ejpam-3310	16	72	a	a	DET
ejpam-3310	16	73	version	version	NOUN
ejpam-3310	16	74	of	of	ADP
ejpam-3310	16	75	itô	itô	PROPN
ejpam-3310	16	76	’s	’s	PART
ejpam-3310	16	77	formula	formula	NOUN
ejpam-3310	16	78	,	,	PUNCT
ejpam-3310	16	79	the	the	DET
ejpam-3310	16	80	stochastic	stochastic	ADJ
ejpam-3310	16	81	counterpart	counterpart	NOUN
ejpam-3310	16	82	of	of	ADP
ejpam-3310	16	83	the	the	DET
ejpam-3310	16	84	classical	classical	ADJ
ejpam-3310	16	85	chain	chain	NOUN
ejpam-3310	16	86	rule	rule	NOUN
ejpam-3310	16	87	of	of	ADP
ejpam-3310	16	88	differentiation	differentiation	NOUN
ejpam-3310	16	89	.	.	PUNCT
ejpam-3310	17	1	in	in	ADP
ejpam-3310	17	2	this	this	DET
ejpam-3310	17	3	paper	paper	NOUN
ejpam-3310	17	4	,	,	PUNCT
ejpam-3310	17	5	we	we	PRON
ejpam-3310	17	6	revisit	revisit	VERB
ejpam-3310	17	7	the	the	DET
ejpam-3310	17	8	concept	concept	NOUN
ejpam-3310	17	9	of	of	ADP
ejpam-3310	17	10	itô-henstock	itô-henstock	PROPN
ejpam-3310	17	11	integral	integral	ADJ
ejpam-3310	17	12	for	for	ADP
ejpam-3310	17	13	the	the	DET
ejpam-3310	17	14	operator	operator	NOUN
ejpam-3310	17	15	-	-	PUNCT
ejpam-3310	17	16	valued	value	VERB
ejpam-3310	17	17	stochastic	stochastic	ADJ
ejpam-3310	17	18	process	process	NOUN
ejpam-3310	17	19	with	with	ADP
ejpam-3310	17	20	respect	respect	NOUN
ejpam-3310	17	21	to	to	ADP
ejpam-3310	17	22	a	a	DET
ejpam-3310	17	23	q	q	ADJ
ejpam-3310	17	24	-	-	PUNCT
ejpam-3310	17	25	wiener	wiener	NOUN
ejpam-3310	17	26	process	process	NOUN
ejpam-3310	17	27	and	and	CCONJ
ejpam-3310	17	28	characterize	characterize	VERB
ejpam-3310	17	29	itô-henstock	itô-henstock	NOUN
ejpam-3310	17	30	integrability	integrability	NOUN
ejpam-3310	17	31	by	by	ADP
ejpam-3310	17	32	using	use	VERB
ejpam-3310	17	33	the	the	DET
ejpam-3310	17	34	concept	concept	NOUN
ejpam-3310	17	35	of	of	ADP
ejpam-3310	17	36	double	double	ADJ
ejpam-3310	17	37	lusin	lusin	NOUN
ejpam-3310	17	38	condition	condition	NOUN
ejpam-3310	17	39	and	and	CCONJ
ejpam-3310	17	40	ac2[0	ac2[0	NOUN
ejpam-3310	17	41	,	,	PUNCT
ejpam-3310	17	42	t	t	PROPN
ejpam-3310	17	43	]	]	PUNCT
ejpam-3310	17	44	-property	-property	PROPN
ejpam-3310	17	45	,	,	PUNCT
ejpam-3310	17	46	a	a	DET
ejpam-3310	17	47	version	version	NOUN
ejpam-3310	17	48	of	of	ADP
ejpam-3310	17	49	absolute	absolute	ADJ
ejpam-3310	17	50	continuity	continuity	NOUN
ejpam-3310	17	51	.	.	PUNCT
ejpam-3310	18	1	2	2	X
ejpam-3310	18	2	.	.	X
ejpam-3310	18	3	preliminaries	preliminary	NOUN
ejpam-3310	18	4	throughout	throughout	ADP
ejpam-3310	18	5	this	this	DET
ejpam-3310	18	6	paper	paper	NOUN
ejpam-3310	18	7	,	,	PUNCT
ejpam-3310	18	8	(	(	PUNCT
ejpam-3310	18	9	ω	ω	PROPN
ejpam-3310	18	10	,	,	PUNCT
ejpam-3310	18	11	f	f	PROPN
ejpam-3310	18	12	,	,	PUNCT
ejpam-3310	18	13	{	{	PUNCT
ejpam-3310	18	14	ft},p	ft},p	NOUN
ejpam-3310	18	15	)	)	PUNCT
ejpam-3310	18	16	be	be	VERB
ejpam-3310	18	17	a	a	DET
ejpam-3310	18	18	filtered	filter	VERB
ejpam-3310	18	19	probability	probability	NOUN
ejpam-3310	18	20	space	space	NOUN
ejpam-3310	18	21	,	,	PUNCT
ejpam-3310	18	22	b(h	b(h	PROPN
ejpam-3310	18	23	)	)	PUNCT
ejpam-3310	18	24	be	be	VERB
ejpam-3310	18	25	the	the	DET
ejpam-3310	18	26	borel	borel	PROPN
ejpam-3310	18	27	σ	σ	PROPN
ejpam-3310	18	28	-	-	PUNCT
ejpam-3310	18	29	field	field	NOUN
ejpam-3310	18	30	of	of	ADP
ejpam-3310	18	31	a	a	DET
ejpam-3310	18	32	separable	separable	ADJ
ejpam-3310	18	33	banach	banach	NOUN
ejpam-3310	18	34	space	space	NOUN
ejpam-3310	18	35	h	h	NOUN
ejpam-3310	18	36	,	,	PUNCT
ejpam-3310	18	37	and	and	CCONJ
ejpam-3310	18	38	l(h	l(h	PRON
ejpam-3310	18	39	)	)	PUNCT
ejpam-3310	18	40	be	be	VERB
ejpam-3310	18	41	the	the	DET
ejpam-3310	18	42	probability	probability	NOUN
ejpam-3310	18	43	distribution	distribution	NOUN
ejpam-3310	18	44	or	or	CCONJ
ejpam-3310	18	45	the	the	DET
ejpam-3310	18	46	law	law	NOUN
ejpam-3310	18	47	of	of	ADP
ejpam-3310	18	48	a	a	DET
ejpam-3310	18	49	random	random	ADJ
ejpam-3310	18	50	variable	variable	ADJ
ejpam-3310	18	51	h	h	NOUN
ejpam-3310	18	52	:	:	PUNCT
ejpam-3310	18	53	ω→	ω→	PUNCT
ejpam-3310	18	54	h.	h.	PROPN
ejpam-3310	18	55	a	a	DET
ejpam-3310	18	56	stochastic	stochastic	ADJ
ejpam-3310	18	57	process	process	NOUN
ejpam-3310	18	58	f	f	NOUN
ejpam-3310	18	59	:	:	PUNCT
ejpam-3310	19	1	[	[	X
ejpam-3310	19	2	0	0	NUM
ejpam-3310	19	3	,	,	PUNCT
ejpam-3310	19	4	t	t	X
ejpam-3310	19	5	]	]	PUNCT
ejpam-3310	19	6	×	×	PROPN
ejpam-3310	19	7	ω	ω	PROPN
ejpam-3310	19	8	→	→	SYM
ejpam-3310	19	9	h	h	NOUN
ejpam-3310	19	10	,	,	PUNCT
ejpam-3310	19	11	or	or	CCONJ
ejpam-3310	19	12	simply	simply	ADV
ejpam-3310	19	13	a	a	DET
ejpam-3310	19	14	process	process	NOUN
ejpam-3310	19	15	{	{	PUNCT
ejpam-3310	19	16	ft}0≤t≤t	ft}0≤t≤t	NOUN
ejpam-3310	19	17	,	,	PUNCT
ejpam-3310	19	18	is	be	AUX
ejpam-3310	19	19	said	say	VERB
ejpam-3310	19	20	to	to	PART
ejpam-3310	19	21	be	be	AUX
ejpam-3310	19	22	adapted	adapt	VERB
ejpam-3310	19	23	to	to	ADP
ejpam-3310	19	24	a	a	DET
ejpam-3310	19	25	filtration	filtration	NOUN
ejpam-3310	19	26	{	{	PUNCT
ejpam-3310	19	27	ft	ft	NOUN
ejpam-3310	19	28	}	}	PUNCT
ejpam-3310	19	29	if	if	SCONJ
ejpam-3310	19	30	ft	ft	NOUN
ejpam-3310	19	31	is	be	AUX
ejpam-3310	19	32	ft	ft	NOUN
ejpam-3310	19	33	-	-	PUNCT
ejpam-3310	19	34	measurable	measurable	NOUN
ejpam-3310	19	35	for	for	ADP
ejpam-3310	19	36	all	all	DET
ejpam-3310	19	37	t	t	NOUN
ejpam-3310	19	38	∈	∈	PROPN
ejpam-3310	20	1	[	[	X
ejpam-3310	20	2	0	0	NUM
ejpam-3310	20	3	,	,	PUNCT
ejpam-3310	20	4	t	t	X
ejpam-3310	20	5	]	]	PUNCT
ejpam-3310	20	6	.	.	PUNCT
ejpam-3310	21	1	when	when	SCONJ
ejpam-3310	21	2	no	no	DET
ejpam-3310	21	3	confusion	confusion	NOUN
ejpam-3310	21	4	arises	arise	VERB
ejpam-3310	21	5	,	,	PUNCT
ejpam-3310	21	6	we	we	PRON
ejpam-3310	21	7	may	may	AUX
ejpam-3310	21	8	refer	refer	VERB
ejpam-3310	21	9	to	to	ADP
ejpam-3310	21	10	a	a	DET
ejpam-3310	21	11	process	process	NOUN
ejpam-3310	21	12	adapted	adapt	VERB
ejpam-3310	21	13	to	to	ADP
ejpam-3310	21	14	{	{	PUNCT
ejpam-3310	21	15	ft	ft	NOUN
ejpam-3310	21	16	}	}	PUNCT
ejpam-3310	21	17	as	as	ADP
ejpam-3310	21	18	simply	simply	ADV
ejpam-3310	21	19	an	an	DET
ejpam-3310	21	20	adapted	adapt	VERB
ejpam-3310	21	21	process	process	NOUN
ejpam-3310	21	22	.	.	PUNCT
ejpam-3310	22	1	let	let	VERB
ejpam-3310	22	2	u	u	PRON
ejpam-3310	22	3	and	and	CCONJ
ejpam-3310	22	4	v	v	NOUN
ejpam-3310	22	5	be	be	AUX
ejpam-3310	22	6	separable	separable	ADJ
ejpam-3310	22	7	hilbert	hilbert	PROPN
ejpam-3310	22	8	spaces	space	NOUN
ejpam-3310	22	9	.	.	PUNCT
ejpam-3310	23	1	denote	denote	VERB
ejpam-3310	23	2	by	by	ADP
ejpam-3310	23	3	l(u	l(u	PROPN
ejpam-3310	23	4	,	,	PUNCT
ejpam-3310	23	5	v	v	NOUN
ejpam-3310	23	6	)	)	PUNCT
ejpam-3310	23	7	the	the	DET
ejpam-3310	23	8	space	space	NOUN
ejpam-3310	23	9	of	of	ADP
ejpam-3310	23	10	all	all	DET
ejpam-3310	23	11	bounded	bound	VERB
ejpam-3310	23	12	linear	linear	PROPN
ejpam-3310	23	13	operators	operator	NOUN
ejpam-3310	23	14	from	from	ADP
ejpam-3310	23	15	u	u	PRON
ejpam-3310	23	16	to	to	ADP
ejpam-3310	23	17	v	v	NUM
ejpam-3310	23	18	,	,	PUNCT
ejpam-3310	23	19	l(u	l(u	PROPN
ejpam-3310	23	20	)	)	PUNCT
ejpam-3310	23	21	:	:	PUNCT
ejpam-3310	24	1	=	=	SYM
ejpam-3310	24	2	l(u	l(u	PROPN
ejpam-3310	24	3	,	,	PUNCT
ejpam-3310	24	4	u	u	NOUN
ejpam-3310	24	5	)	)	PUNCT
ejpam-3310	24	6	,	,	PUNCT
ejpam-3310	24	7	qu	qu	PROPN
ejpam-3310	24	8	:	:	PUNCT
ejpam-3310	24	9	=	=	SYM
ejpam-3310	24	10	q(u	q(u	X
ejpam-3310	24	11	)	)	PUNCT
ejpam-3310	24	12	if	if	SCONJ
ejpam-3310	24	13	q	q	PROPN
ejpam-3310	24	14	∈	∈	PROPN
ejpam-3310	24	15	l(u	l(u	PROPN
ejpam-3310	24	16	,	,	PUNCT
ejpam-3310	24	17	v	v	NOUN
ejpam-3310	24	18	)	)	PUNCT
ejpam-3310	24	19	,	,	PUNCT
ejpam-3310	24	20	and	and	CCONJ
ejpam-3310	24	21	l2(ω	l2(ω	PROPN
ejpam-3310	24	22	,	,	PUNCT
ejpam-3310	24	23	v	v	NOUN
ejpam-3310	24	24	)	)	PUNCT
ejpam-3310	24	25	the	the	DET
ejpam-3310	24	26	space	space	NOUN
ejpam-3310	24	27	of	of	ADP
ejpam-3310	24	28	all	all	DET
ejpam-3310	24	29	square	square	ADJ
ejpam-3310	24	30	-	-	PUNCT
ejpam-3310	24	31	integrable	integrable	ADJ
ejpam-3310	24	32	random	random	ADJ
ejpam-3310	24	33	variables	variable	NOUN
ejpam-3310	24	34	from	from	ADP
ejpam-3310	24	35	ω	ω	NUM
ejpam-3310	24	36	to	to	ADP
ejpam-3310	24	37	v	v	NOUN
ejpam-3310	24	38	.	.	PUNCT
ejpam-3310	25	1	an	an	DET
ejpam-3310	25	2	operator	operator	NOUN
ejpam-3310	25	3	q	q	PROPN
ejpam-3310	25	4	∈	∈	PROPN
ejpam-3310	25	5	l(u	l(u	PROPN
ejpam-3310	25	6	)	)	PUNCT
ejpam-3310	25	7	is	be	AUX
ejpam-3310	25	8	said	say	VERB
ejpam-3310	25	9	to	to	PART
ejpam-3310	25	10	be	be	AUX
ejpam-3310	25	11	self	self	NOUN
ejpam-3310	25	12	-	-	PUNCT
ejpam-3310	25	13	adjoint	adjoint	NOUN
ejpam-3310	25	14	or	or	CCONJ
ejpam-3310	25	15	symmetric	symmetric	ADJ
ejpam-3310	25	16	if	if	SCONJ
ejpam-3310	25	17	for	for	ADP
ejpam-3310	25	18	all	all	DET
ejpam-3310	25	19	u	u	NOUN
ejpam-3310	25	20	,	,	PUNCT
ejpam-3310	25	21	u′	u′	PROPN
ejpam-3310	25	22	∈	∈	PROPN
ejpam-3310	25	23	u	u	PROPN
ejpam-3310	25	24	,	,	PUNCT
ejpam-3310	25	25	〈	〈	PROPN
ejpam-3310	25	26	qu	qu	PROPN
ejpam-3310	25	27	,	,	PUNCT
ejpam-3310	25	28	u′〉u	u′〉u	PROPN
ejpam-3310	25	29	=	=	SYM
ejpam-3310	25	30	〈	〈	PROPN
ejpam-3310	25	31	u	u	NOUN
ejpam-3310	25	32	,	,	PUNCT
ejpam-3310	25	33	qu′〉u	qu′〉u	PROPN
ejpam-3310	25	34	and	and	CCONJ
ejpam-3310	25	35	is	be	AUX
ejpam-3310	25	36	said	say	VERB
ejpam-3310	25	37	to	to	PART
ejpam-3310	25	38	be	be	AUX
ejpam-3310	25	39	nonnegative	nonnegative	ADJ
ejpam-3310	25	40	definite	definite	ADJ
ejpam-3310	25	41	if	if	SCONJ
ejpam-3310	25	42	for	for	ADP
ejpam-3310	25	43	every	every	DET
ejpam-3310	25	44	u	u	PROPN
ejpam-3310	25	45	∈	∈	PROPN
ejpam-3310	25	46	u	u	NOUN
ejpam-3310	25	47	,	,	PUNCT
ejpam-3310	25	48	〈	〈	PROPN
ejpam-3310	25	49	qu	qu	PROPN
ejpam-3310	25	50	,	,	PUNCT
ejpam-3310	25	51	u〉u	u〉u	NOUN
ejpam-3310	25	52	≥	≥	NUM
ejpam-3310	25	53	0	0	NUM
ejpam-3310	25	54	.	.	PUNCT
ejpam-3310	26	1	using	use	VERB
ejpam-3310	26	2	the	the	DET
ejpam-3310	26	3	square	square	ADJ
ejpam-3310	26	4	-	-	PUNCT
ejpam-3310	26	5	root	root	NOUN
ejpam-3310	26	6	lemma	lemma	PROPN
ejpam-3310	27	1	[	[	X
ejpam-3310	27	2	16	16	NUM
ejpam-3310	27	3	,	,	PUNCT
ejpam-3310	27	4	p.196	p.196	VERB
ejpam-3310	27	5	]	]	X
ejpam-3310	27	6	,	,	PUNCT
ejpam-3310	27	7	if	if	SCONJ
ejpam-3310	27	8	q	q	PROPN
ejpam-3310	27	9	∈	∈	PROPN
ejpam-3310	27	10	l(u	l(u	PROPN
ejpam-3310	27	11	)	)	PUNCT
ejpam-3310	27	12	is	be	AUX
ejpam-3310	27	13	nonnegative	nonnegative	ADJ
ejpam-3310	27	14	definite	definite	ADJ
ejpam-3310	27	15	,	,	PUNCT
ejpam-3310	27	16	then	then	ADV
ejpam-3310	27	17	there	there	PRON
ejpam-3310	27	18	exists	exist	VERB
ejpam-3310	27	19	a	a	DET
ejpam-3310	27	20	unique	unique	ADJ
ejpam-3310	27	21	operator	operator	NOUN
ejpam-3310	27	22	q	q	NOUN
ejpam-3310	27	23	1	1	NUM
ejpam-3310	27	24	2	2	NUM
ejpam-3310	27	25	∈	∈	PROPN
ejpam-3310	27	26	l(u	l(u	PROPN
ejpam-3310	27	27	)	)	PUNCT
ejpam-3310	27	28	such	such	ADJ
ejpam-3310	27	29	that	that	PRON
ejpam-3310	27	30	q	q	NOUN
ejpam-3310	27	31	1	1	NUM
ejpam-3310	27	32	2	2	NUM
ejpam-3310	27	33	is	be	AUX
ejpam-3310	27	34	nonnegative	nonnegative	ADJ
ejpam-3310	27	35	definite	definite	ADJ
ejpam-3310	28	1	and	and	CCONJ
ejpam-3310	28	2	(	(	PUNCT
ejpam-3310	28	3	q	q	NOUN
ejpam-3310	28	4	1	1	NUM
ejpam-3310	28	5	2	2	NUM
ejpam-3310	28	6	)	)	PUNCT
ejpam-3310	28	7	2	2	NUM
ejpam-3310	28	8	=	=	SYM
ejpam-3310	28	9	q.	q.	NOUN
ejpam-3310	28	10	let	let	VERB
ejpam-3310	28	11	{	{	PUNCT
ejpam-3310	28	12	ej}∞j=1	ej}∞j=1	X
ejpam-3310	28	13	,	,	PUNCT
ejpam-3310	28	14	or	or	CCONJ
ejpam-3310	28	15	simply	simply	ADV
ejpam-3310	28	16	{	{	PUNCT
ejpam-3310	28	17	ej	ej	NOUN
ejpam-3310	28	18	}	}	PUNCT
ejpam-3310	28	19	,	,	PUNCT
ejpam-3310	28	20	be	be	AUX
ejpam-3310	28	21	an	an	DET
ejpam-3310	28	22	orthonormal	orthonormal	ADJ
ejpam-3310	28	23	basis	basis	NOUN
ejpam-3310	28	24	(	(	PUNCT
ejpam-3310	28	25	abbrev	abbrev	NOUN
ejpam-3310	28	26	.	.	PUNCT
ejpam-3310	29	1	as	as	ADP
ejpam-3310	29	2	onb	onb	ADJ
ejpam-3310	29	3	)	)	PUNCT
ejpam-3310	29	4	in	in	ADP
ejpam-3310	29	5	u	u	NOUN
ejpam-3310	29	6	.	.	PUNCT
ejpam-3310	30	1	if	if	SCONJ
ejpam-3310	30	2	q	q	PROPN
ejpam-3310	30	3	∈	∈	PROPN
ejpam-3310	30	4	l(u	l(u	PROPN
ejpam-3310	30	5	)	)	PUNCT
ejpam-3310	30	6	is	be	AUX
ejpam-3310	30	7	nonnegative	nonnegative	ADJ
ejpam-3310	30	8	definite	definite	ADJ
ejpam-3310	30	9	,	,	PUNCT
ejpam-3310	30	10	then	then	ADV
ejpam-3310	30	11	the	the	DET
ejpam-3310	30	12	trace	trace	NOUN
ejpam-3310	30	13	of	of	ADP
ejpam-3310	30	14	q	q	NOUN
ejpam-3310	30	15	is	be	AUX
ejpam-3310	30	16	defined	define	VERB
ejpam-3310	30	17	by	by	ADP
ejpam-3310	30	18	tr	tr	VERB
ejpam-3310	30	19	q	q	NOUN
ejpam-3310	30	20	=	=	PUNCT
ejpam-3310	30	21	∑∞	∑∞	NOUN
ejpam-3310	30	22	j=1	j=1	PROPN
ejpam-3310	30	23	〈	〈	PROPN
ejpam-3310	30	24	qej	qej	NOUN
ejpam-3310	30	25	,	,	PUNCT
ejpam-3310	30	26	ej〉u	ej〉u	NOUN
ejpam-3310	30	27	.	.	PUNCT
ejpam-3310	31	1	it	it	PRON
ejpam-3310	31	2	is	be	AUX
ejpam-3310	31	3	shown	show	VERB
ejpam-3310	31	4	in	in	ADP
ejpam-3310	31	5	[	[	X
ejpam-3310	31	6	16	16	NUM
ejpam-3310	31	7	,	,	PUNCT
ejpam-3310	31	8	p.206	p.206	NOUN
ejpam-3310	31	9	]	]	PUNCT
ejpam-3310	31	10	that	that	PRON
ejpam-3310	31	11	tr	tr	VERB
ejpam-3310	31	12	q	q	PROPN
ejpam-3310	31	13	is	be	AUX
ejpam-3310	31	14	well	well	ADV
ejpam-3310	31	15	-	-	PUNCT
ejpam-3310	31	16	defined	define	VERB
ejpam-3310	31	17	and	and	CCONJ
ejpam-3310	31	18	may	may	AUX
ejpam-3310	31	19	be	be	AUX
ejpam-3310	31	20	defined	define	VERB
ejpam-3310	31	21	in	in	ADP
ejpam-3310	31	22	terms	term	NOUN
ejpam-3310	31	23	of	of	ADP
ejpam-3310	31	24	an	an	DET
ejpam-3310	31	25	arbitrary	arbitrary	ADJ
ejpam-3310	31	26	onb	onb	ADJ
ejpam-3310	31	27	.	.	PUNCT
ejpam-3310	32	1	an	an	DET
ejpam-3310	32	2	operator	operator	NOUN
ejpam-3310	32	3	q	q	NOUN
ejpam-3310	32	4	:	:	PUNCT
ejpam-3310	32	5	u	u	PROPN
ejpam-3310	32	6	→	→	SYM
ejpam-3310	32	7	u	u	NOUN
ejpam-3310	32	8	is	be	AUX
ejpam-3310	32	9	said	say	VERB
ejpam-3310	32	10	to	to	PART
ejpam-3310	32	11	be	be	AUX
ejpam-3310	32	12	trace	trace	NOUN
ejpam-3310	32	13	-	-	PUNCT
ejpam-3310	32	14	class	class	NOUN
ejpam-3310	32	15	if	if	SCONJ
ejpam-3310	32	16	tr	tr	VERB
ejpam-3310	32	17	[	[	X
ejpam-3310	32	18	q	q	X
ejpam-3310	32	19	]	]	X
ejpam-3310	32	20	:	:	PUNCT
ejpam-3310	32	21	=	=	PUNCT
ejpam-3310	32	22	tr	tr	VERB
ejpam-3310	32	23	(	(	PUNCT
ejpam-3310	32	24	qq∗	qq∗	ADJ
ejpam-3310	32	25	)	)	PUNCT
ejpam-3310	32	26	1	1	NUM
ejpam-3310	32	27	2	2	NUM
ejpam-3310	32	28	<	<	X
ejpam-3310	32	29	∞.	∞.	PROPN
ejpam-3310	32	30	denote	denote	VERB
ejpam-3310	32	31	by	by	ADP
ejpam-3310	32	32	l1(u	l1(u	NOUN
ejpam-3310	32	33	)	)	PUNCT
ejpam-3310	32	34	the	the	DET
ejpam-3310	32	35	space	space	NOUN
ejpam-3310	32	36	of	of	ADP
ejpam-3310	32	37	all	all	DET
ejpam-3310	32	38	trace	trace	NOUN
ejpam-3310	32	39	-	-	PUNCT
ejpam-3310	32	40	class	class	NOUN
ejpam-3310	32	41	operators	operator	NOUN
ejpam-3310	32	42	on	on	ADP
ejpam-3310	32	43	u	u	PROPN
ejpam-3310	32	44	,	,	PUNCT
ejpam-3310	32	45	which	which	PRON
ejpam-3310	32	46	is	be	AUX
ejpam-3310	32	47	known	know	VERB
ejpam-3310	32	48	[	[	PUNCT
ejpam-3310	32	49	16	16	NUM
ejpam-3310	32	50	,	,	PUNCT
ejpam-3310	32	51	p.209	p.209	NOUN
ejpam-3310	32	52	]	]	PUNCT
ejpam-3310	32	53	to	to	PART
ejpam-3310	32	54	be	be	AUX
ejpam-3310	32	55	a	a	DET
ejpam-3310	32	56	banach	banach	NOUN
ejpam-3310	32	57	space	space	NOUN
ejpam-3310	32	58	with	with	ADP
ejpam-3310	32	59	norm	norm	NOUN
ejpam-3310	32	60	‖q‖1	‖q‖1	NOUN
ejpam-3310	32	61	=	=	PUNCT
ejpam-3310	32	62	tr	tr	PUNCT
ejpam-3310	32	63	[	[	X
ejpam-3310	32	64	q	q	X
ejpam-3310	32	65	]	]	X
ejpam-3310	32	66	.	.	PUNCT
ejpam-3310	33	1	if	if	SCONJ
ejpam-3310	33	2	q	q	PROPN
ejpam-3310	33	3	∈	∈	PROPN
ejpam-3310	33	4	l(u	l(u	PROPN
ejpam-3310	33	5	)	)	PUNCT
ejpam-3310	33	6	is	be	AUX
ejpam-3310	33	7	a	a	DET
ejpam-3310	33	8	symmetric	symmetric	ADJ
ejpam-3310	33	9	nonnegative	nonnegative	ADJ
ejpam-3310	33	10	definite	definite	ADJ
ejpam-3310	33	11	trace	trace	NOUN
ejpam-3310	33	12	-	-	PUNCT
ejpam-3310	33	13	class	class	NOUN
ejpam-3310	33	14	operator	operator	NOUN
ejpam-3310	33	15	,	,	PUNCT
ejpam-3310	33	16	then	then	ADV
ejpam-3310	33	17	there	there	PRON
ejpam-3310	33	18	exists	exist	VERB
ejpam-3310	33	19	an	an	DET
ejpam-3310	33	20	onb	onb	ADJ
ejpam-3310	33	21	{	{	PUNCT
ejpam-3310	33	22	ej	ej	PROPN
ejpam-3310	33	23	}	}	PUNCT
ejpam-3310	33	24	⊂	⊂	PROPN
ejpam-3310	33	25	u	u	NOUN
ejpam-3310	33	26	and	and	CCONJ
ejpam-3310	33	27	a	a	DET
ejpam-3310	33	28	sequence	sequence	NOUN
ejpam-3310	33	29	of	of	ADP
ejpam-3310	33	30	nonnegative	nonnegative	ADJ
ejpam-3310	33	31	real	real	ADJ
ejpam-3310	33	32	numbers	number	NOUN
ejpam-3310	33	33	{	{	PUNCT
ejpam-3310	33	34	λj	λj	X
ejpam-3310	33	35	}	}	PUNCT
ejpam-3310	33	36	such	such	ADJ
ejpam-3310	33	37	that	that	DET
ejpam-3310	33	38	qej	qej	NOUN
ejpam-3310	33	39	=	=	PUNCT
ejpam-3310	33	40	λjej	λjej	NOUN
ejpam-3310	33	41	for	for	ADP
ejpam-3310	33	42	all	all	DET
ejpam-3310	33	43	j	j	PROPN
ejpam-3310	33	44	∈	∈	PROPN
ejpam-3310	33	45	n	n	CCONJ
ejpam-3310	33	46	,	,	PUNCT
ejpam-3310	33	47	{	{	PUNCT
ejpam-3310	33	48	λj	λj	PROPN
ejpam-3310	33	49	}	}	PUNCT
ejpam-3310	33	50	∈	∈	PROPN
ejpam-3310	33	51	`	`	PUNCT
ejpam-3310	33	52	1	1	NUM
ejpam-3310	33	53	,	,	PUNCT
ejpam-3310	33	54	and	and	CCONJ
ejpam-3310	33	55	λj	λj	X
ejpam-3310	33	56	→	→	SYM
ejpam-3310	33	57	0	0	PUNCT
ejpam-3310	33	58	as	as	ADP
ejpam-3310	33	59	j	j	PROPN
ejpam-3310	33	60	→	→	SYM
ejpam-3310	33	61	∞	∞	PROPN
ejpam-3310	33	62	[	[	X
ejpam-3310	33	63	16	16	NUM
ejpam-3310	33	64	,	,	PUNCT
ejpam-3310	33	65	p.203	p.203	X
ejpam-3310	33	66	]	]	PUNCT
ejpam-3310	33	67	.	.	PUNCT
ejpam-3310	34	1	we	we	PRON
ejpam-3310	34	2	shall	shall	AUX
ejpam-3310	34	3	call	call	VERB
ejpam-3310	34	4	the	the	DET
ejpam-3310	34	5	sequence	sequence	NOUN
ejpam-3310	34	6	of	of	ADP
ejpam-3310	34	7	pairs	pair	NOUN
ejpam-3310	34	8	{	{	PUNCT
ejpam-3310	34	9	λj	λj	NOUN
ejpam-3310	34	10	,	,	PUNCT
ejpam-3310	34	11	ej	ej	PROPN
ejpam-3310	34	12	}	}	PUNCT
ejpam-3310	34	13	an	an	DET
ejpam-3310	34	14	eigensequence	eigensequence	NOUN
ejpam-3310	34	15	defined	define	VERB
ejpam-3310	34	16	by	by	ADP
ejpam-3310	34	17	q.	q.	PROPN
ejpam-3310	34	18	let	let	VERB
ejpam-3310	34	19	q	q	NOUN
ejpam-3310	34	20	:	:	PUNCT
ejpam-3310	34	21	u	u	X
ejpam-3310	34	22	→	→	SYM
ejpam-3310	34	23	u	u	X
ejpam-3310	34	24	be	be	VERB
ejpam-3310	34	25	a	a	DET
ejpam-3310	34	26	symmetric	symmetric	ADJ
ejpam-3310	34	27	nonnegative	nonnegative	ADJ
ejpam-3310	34	28	definite	definite	ADJ
ejpam-3310	34	29	trace	trace	NOUN
ejpam-3310	34	30	-	-	PUNCT
ejpam-3310	34	31	class	class	NOUN
ejpam-3310	34	32	operator	operator	NOUN
ejpam-3310	34	33	.	.	PUNCT
ejpam-3310	35	1	let	let	VERB
ejpam-3310	35	2	{	{	PUNCT
ejpam-3310	35	3	λj	λj	NOUN
ejpam-3310	35	4	,	,	PUNCT
ejpam-3310	35	5	ej	ej	AUX
ejpam-3310	35	6	}	}	PUNCT
ejpam-3310	35	7	be	be	AUX
ejpam-3310	35	8	an	an	DET
ejpam-3310	35	9	eigensequence	eigensequence	NOUN
ejpam-3310	35	10	defined	define	VERB
ejpam-3310	35	11	by	by	ADP
ejpam-3310	35	12	q.	q.	PROPN
ejpam-3310	35	13	then	then	ADV
ejpam-3310	35	14	the	the	DET
ejpam-3310	35	15	subspace	subspace	PROPN
ejpam-3310	35	16	uq	uq	NOUN
ejpam-3310	35	17	:	:	PUNCT
ejpam-3310	35	18	=	=	SYM
ejpam-3310	35	19	q	q	PROPN
ejpam-3310	35	20	1	1	NUM
ejpam-3310	35	21	2u	2u	NOUN
ejpam-3310	35	22	of	of	ADP
ejpam-3310	35	23	u	u	PRON
ejpam-3310	35	24	equipped	equip	VERB
ejpam-3310	35	25	with	with	ADP
ejpam-3310	35	26	the	the	DET
ejpam-3310	35	27	inner	inner	ADJ
ejpam-3310	35	28	product	product	NOUN
ejpam-3310	35	29	〈	〈	PROPN
ejpam-3310	35	30	u	u	NOUN
ejpam-3310	35	31	,	,	PUNCT
ejpam-3310	35	32	v〉uq	v〉uq	NOUN
ejpam-3310	35	33	=	=	SYM
ejpam-3310	35	34	〈	〈	PROPN
ejpam-3310	35	35	q−1/2u	q−1/2u	NOUN
ejpam-3310	35	36	,	,	PUNCT
ejpam-3310	35	37	q−1/2v	q−1/2v	NOUN
ejpam-3310	35	38	〉	〉	NOUN
ejpam-3310	35	39	u	u	NOUN
ejpam-3310	35	40	,	,	PUNCT
ejpam-3310	35	41	where	where	SCONJ
ejpam-3310	35	42	q1/2	q1/2	PROPN
ejpam-3310	35	43	is	be	AUX
ejpam-3310	35	44	being	be	AUX
ejpam-3310	35	45	restricted	restrict	VERB
ejpam-3310	35	46	to	to	ADP
ejpam-3310	35	47	[	[	X
ejpam-3310	35	48	kerq1/2]⊥	kerq1/2]⊥	PROPN
ejpam-3310	35	49	is	be	AUX
ejpam-3310	35	50	a	a	DET
ejpam-3310	35	51	separable	separable	ADJ
ejpam-3310	35	52	hilbert	hilbert	NOUN
ejpam-3310	35	53	space	space	NOUN
ejpam-3310	35	54	with	with	ADP
ejpam-3310	35	55	{	{	PUNCT
ejpam-3310	35	56	√	√	PROPN
ejpam-3310	35	57	λjej	λjej	NOUN
ejpam-3310	35	58	}	}	PUNCT
ejpam-3310	35	59	as	as	ADP
ejpam-3310	35	60	its	its	PRON
ejpam-3310	35	61	onb	onb	ADJ
ejpam-3310	35	62	,	,	PUNCT
ejpam-3310	35	63	see	see	VERB
ejpam-3310	35	64	[	[	X
ejpam-3310	35	65	15	15	NUM
ejpam-3310	35	66	,	,	PUNCT
ejpam-3310	35	67	p.90	p.90	PROPN
ejpam-3310	35	68	]	]	PUNCT
ejpam-3310	35	69	,	,	PUNCT
ejpam-3310	36	1	[	[	X
ejpam-3310	36	2	2	2	NUM
ejpam-3310	36	3	,	,	PUNCT
ejpam-3310	36	4	p.23	p.23	AUX
ejpam-3310	36	5	]	]	PUNCT
ejpam-3310	36	6	.	.	PUNCT
ejpam-3310	37	1	let	let	AUX
ejpam-3310	37	2	{	{	PUNCT
ejpam-3310	37	3	fj	fj	PART
ejpam-3310	37	4	}	}	PUNCT
ejpam-3310	37	5	be	be	AUX
ejpam-3310	37	6	an	an	DET
ejpam-3310	37	7	onb	onb	ADJ
ejpam-3310	37	8	in	in	ADP
ejpam-3310	37	9	uq	uq	NOUN
ejpam-3310	37	10	.	.	PUNCT
ejpam-3310	38	1	an	an	DET
ejpam-3310	38	2	operator	operator	NOUN
ejpam-3310	38	3	s	s	PART
ejpam-3310	38	4	∈	∈	PROPN
ejpam-3310	38	5	l(uq	l(uq	PROPN
ejpam-3310	38	6	,	,	PUNCT
ejpam-3310	38	7	v	v	NOUN
ejpam-3310	38	8	)	)	PUNCT
ejpam-3310	38	9	is	be	AUX
ejpam-3310	38	10	said	say	VERB
ejpam-3310	38	11	to	to	PART
ejpam-3310	38	12	be	be	AUX
ejpam-3310	38	13	hilbert	hilbert	NOUN
ejpam-3310	38	14	-	-	PUNCT
ejpam-3310	38	15	schmidt	schmidt	NOUN
ejpam-3310	38	16	if	if	SCONJ
ejpam-3310	38	17	∑∞	∑∞	VERB
ejpam-3310	38	18	j=1	j=1	X
ejpam-3310	38	19	‖sfj‖	‖sfj‖	PUNCT
ejpam-3310	38	20	2	2	NUM
ejpam-3310	38	21	v	v	NOUN
ejpam-3310	38	22	=	=	PUNCT
ejpam-3310	38	23	∑∞	∑∞	NOUN
ejpam-3310	38	24	j=1	j=1	PROPN
ejpam-3310	38	25	〈	〈	PROPN
ejpam-3310	38	26	sfj	sfj	NOUN
ejpam-3310	38	27	,	,	PUNCT
ejpam-3310	38	28	sfj〉v	sfj〉v	PROPN
ejpam-3310	38	29	<	<	X
ejpam-3310	38	30	∞.	∞.	PROPN
ejpam-3310	38	31	denote	denote	VERB
ejpam-3310	38	32	by	by	ADP
ejpam-3310	38	33	l2(uq	l2(uq	PROPN
ejpam-3310	38	34	,	,	PUNCT
ejpam-3310	38	35	v	v	NOUN
ejpam-3310	38	36	)	)	PUNCT
ejpam-3310	38	37	the	the	DET
ejpam-3310	38	38	space	space	NOUN
ejpam-3310	38	39	of	of	ADP
ejpam-3310	38	40	all	all	DET
ejpam-3310	38	41	hilbertm	hilbertm	NOUN
ejpam-3310	38	42	.	.	PUNCT
ejpam-3310	39	1	labendia	labendia	PROPN
ejpam-3310	39	2	,	,	PUNCT
ejpam-3310	39	3	j.	j.	PROPN
ejpam-3310	39	4	arcede	arcede	PROPN
ejpam-3310	39	5	/	/	SYM
ejpam-3310	39	6	eur	eur	PROPN
ejpam-3310	39	7	.	.	PUNCT
ejpam-3310	40	1	j.	j.	PROPN
ejpam-3310	40	2	pure	pure	PROPN
ejpam-3310	40	3	appl	appl	PROPN
ejpam-3310	40	4	.	.	PROPN
ejpam-3310	40	5	math	math	PROPN
ejpam-3310	40	6	,	,	PUNCT
ejpam-3310	40	7	11	11	NUM
ejpam-3310	40	8	(	(	PUNCT
ejpam-3310	40	9	4	4	NUM
ejpam-3310	40	10	)	)	PUNCT
ejpam-3310	40	11	(	(	PUNCT
ejpam-3310	40	12	2018	2018	NUM
ejpam-3310	40	13	)	)	PUNCT
ejpam-3310	40	14	,	,	PUNCT
ejpam-3310	40	15	1003	1003	NUM
ejpam-3310	40	16	-	-	SYM
ejpam-3310	40	17	1013	1013	NUM
ejpam-3310	40	18	1005	1005	NUM
ejpam-3310	40	19	schmidt	schmidt	PROPN
ejpam-3310	40	20	operators	operator	NOUN
ejpam-3310	40	21	from	from	ADP
ejpam-3310	40	22	uq	uq	NOUN
ejpam-3310	40	23	to	to	ADP
ejpam-3310	40	24	v	v	NOUN
ejpam-3310	40	25	,	,	PUNCT
ejpam-3310	40	26	which	which	PRON
ejpam-3310	40	27	is	be	AUX
ejpam-3310	40	28	known	know	VERB
ejpam-3310	40	29	[	[	X
ejpam-3310	40	30	14	14	NUM
ejpam-3310	40	31	,	,	PUNCT
ejpam-3310	40	32	p.112	p.112	NOUN
ejpam-3310	40	33	]	]	PUNCT
ejpam-3310	40	34	to	to	PART
ejpam-3310	40	35	be	be	AUX
ejpam-3310	40	36	a	a	DET
ejpam-3310	40	37	separable	separable	ADJ
ejpam-3310	40	38	hilbert	hilbert	NOUN
ejpam-3310	40	39	space	space	NOUN
ejpam-3310	40	40	with	with	ADP
ejpam-3310	40	41	norm	norm	NOUN
ejpam-3310	40	42	‖s‖l2(uq	‖s‖l2(uq	NOUN
ejpam-3310	40	43	,	,	PUNCT
ejpam-3310	40	44	v	v	NOUN
ejpam-3310	40	45	)	)	PUNCT
ejpam-3310	40	46	=	=	SYM
ejpam-3310	40	47	√∑∞	√∑∞	VERB
ejpam-3310	40	48	j=1	j=1	NOUN
ejpam-3310	40	49	‖sfj‖	‖sfj‖	PUNCT
ejpam-3310	40	50	2	2	NUM
ejpam-3310	40	51	v	v	NOUN
ejpam-3310	40	52	.	.	PUNCT
ejpam-3310	41	1	the	the	DET
ejpam-3310	41	2	hilbert	hilbert	PROPN
ejpam-3310	41	3	-	-	PUNCT
ejpam-3310	41	4	schmidt	schmidt	NOUN
ejpam-3310	41	5	operator	operator	NOUN
ejpam-3310	41	6	s	s	PART
ejpam-3310	41	7	∈	∈	PROPN
ejpam-3310	41	8	l2(uq	l2(uq	PROPN
ejpam-3310	41	9	,	,	PUNCT
ejpam-3310	41	10	v	v	NOUN
ejpam-3310	41	11	)	)	PUNCT
ejpam-3310	41	12	and	and	CCONJ
ejpam-3310	41	13	the	the	DET
ejpam-3310	41	14	norm	norm	NOUN
ejpam-3310	41	15	‖s‖l2(uq	‖s‖l2(uq	NOUN
ejpam-3310	41	16	,	,	PUNCT
ejpam-3310	41	17	v	v	NOUN
ejpam-3310	41	18	)	)	PUNCT
ejpam-3310	41	19	may	may	AUX
ejpam-3310	41	20	be	be	AUX
ejpam-3310	41	21	defined	define	VERB
ejpam-3310	41	22	in	in	ADP
ejpam-3310	41	23	terms	term	NOUN
ejpam-3310	41	24	of	of	ADP
ejpam-3310	41	25	an	an	DET
ejpam-3310	41	26	arbitrary	arbitrary	ADJ
ejpam-3310	41	27	onb	onb	ADJ
ejpam-3310	41	28	,	,	PUNCT
ejpam-3310	41	29	see	see	VERB
ejpam-3310	41	30	[	[	X
ejpam-3310	41	31	15	15	NUM
ejpam-3310	41	32	,	,	PUNCT
ejpam-3310	41	33	p.418	p.418	NOUN
ejpam-3310	41	34	]	]	X
ejpam-3310	41	35	,	,	PUNCT
ejpam-3310	42	1	[	[	X
ejpam-3310	42	2	14	14	NUM
ejpam-3310	42	3	,	,	PUNCT
ejpam-3310	42	4	p.111	p.111	ADJ
ejpam-3310	42	5	]	]	PUNCT
ejpam-3310	42	6	.	.	PUNCT
ejpam-3310	43	1	it	it	PRON
ejpam-3310	43	2	is	be	AUX
ejpam-3310	43	3	shown	show	VERB
ejpam-3310	43	4	in	in	ADP
ejpam-3310	43	5	[	[	X
ejpam-3310	43	6	2	2	NUM
ejpam-3310	43	7	,	,	PUNCT
ejpam-3310	43	8	p.25	p.25	NOUN
ejpam-3310	43	9	]	]	PUNCT
ejpam-3310	43	10	that	that	SCONJ
ejpam-3310	43	11	l(u	l(u	PROPN
ejpam-3310	43	12	,	,	PUNCT
ejpam-3310	43	13	v	v	NOUN
ejpam-3310	43	14	)	)	PUNCT
ejpam-3310	43	15	is	be	AUX
ejpam-3310	43	16	properly	properly	ADV
ejpam-3310	43	17	contained	contain	VERB
ejpam-3310	43	18	in	in	ADP
ejpam-3310	43	19	l2(uq	l2(uq	PROPN
ejpam-3310	43	20	,	,	PUNCT
ejpam-3310	43	21	v	v	NOUN
ejpam-3310	43	22	)	)	PUNCT
ejpam-3310	43	23	.	.	PUNCT
ejpam-3310	44	1	we	we	PRON
ejpam-3310	44	2	also	also	ADV
ejpam-3310	44	3	note	note	VERB
ejpam-3310	44	4	that	that	SCONJ
ejpam-3310	44	5	l2(uq	l2(uq	PROPN
ejpam-3310	44	6	,	,	PUNCT
ejpam-3310	44	7	v	v	NOUN
ejpam-3310	44	8	)	)	PUNCT
ejpam-3310	44	9	contains	contain	VERB
ejpam-3310	44	10	genuinely	genuinely	ADV
ejpam-3310	44	11	unbounded	unbounded	ADJ
ejpam-3310	44	12	linear	linear	NOUN
ejpam-3310	44	13	operators	operator	NOUN
ejpam-3310	44	14	from	from	ADP
ejpam-3310	44	15	u	u	PRON
ejpam-3310	44	16	to	to	ADP
ejpam-3310	44	17	v	v	NOUN
ejpam-3310	44	18	.	.	PUNCT
ejpam-3310	45	1	let	let	VERB
ejpam-3310	45	2	q	q	PRON
ejpam-3310	45	3	:	:	PUNCT
ejpam-3310	45	4	u	u	X
ejpam-3310	45	5	→	→	SYM
ejpam-3310	45	6	u	u	X
ejpam-3310	45	7	be	be	VERB
ejpam-3310	45	8	a	a	DET
ejpam-3310	45	9	symmetric	symmetric	ADJ
ejpam-3310	45	10	nonnegative	nonnegative	ADJ
ejpam-3310	45	11	definite	definite	ADJ
ejpam-3310	45	12	trace	trace	NOUN
ejpam-3310	45	13	-	-	PUNCT
ejpam-3310	45	14	class	class	NOUN
ejpam-3310	45	15	operator	operator	NOUN
ejpam-3310	45	16	,	,	PUNCT
ejpam-3310	45	17	{	{	PUNCT
ejpam-3310	45	18	λj	λj	PROPN
ejpam-3310	45	19	,	,	PUNCT
ejpam-3310	45	20	ej	ej	AUX
ejpam-3310	45	21	}	}	PUNCT
ejpam-3310	45	22	be	be	AUX
ejpam-3310	45	23	an	an	DET
ejpam-3310	45	24	eigensequence	eigensequence	NOUN
ejpam-3310	45	25	defined	define	VERB
ejpam-3310	45	26	by	by	ADP
ejpam-3310	45	27	q	q	PROPN
ejpam-3310	45	28	,	,	PUNCT
ejpam-3310	45	29	and	and	CCONJ
ejpam-3310	45	30	{	{	PUNCT
ejpam-3310	45	31	bj	bj	AUX
ejpam-3310	45	32	}	}	PUNCT
ejpam-3310	45	33	be	be	AUX
ejpam-3310	45	34	a	a	DET
ejpam-3310	45	35	sequence	sequence	NOUN
ejpam-3310	45	36	of	of	ADP
ejpam-3310	45	37	independent	independent	ADJ
ejpam-3310	45	38	brownian	brownian	ADJ
ejpam-3310	45	39	motions	motion	NOUN
ejpam-3310	45	40	(	(	PUNCT
ejpam-3310	45	41	abbrev	abbrev	VERB
ejpam-3310	45	42	.	.	PUNCT
ejpam-3310	46	1	as	as	SCONJ
ejpam-3310	46	2	bm	bm	PROPN
ejpam-3310	46	3	)	)	PUNCT
ejpam-3310	46	4	defined	define	VERB
ejpam-3310	46	5	on	on	ADP
ejpam-3310	46	6	(	(	PUNCT
ejpam-3310	46	7	ω	ω	PROPN
ejpam-3310	46	8	,	,	PUNCT
ejpam-3310	46	9	f	f	PROPN
ejpam-3310	46	10	,	,	PUNCT
ejpam-3310	46	11	{	{	PUNCT
ejpam-3310	46	12	ft},p	ft},p	NOUN
ejpam-3310	46	13	)	)	PUNCT
ejpam-3310	46	14	.	.	PUNCT
ejpam-3310	47	1	the	the	DET
ejpam-3310	47	2	process	process	NOUN
ejpam-3310	47	3	w̃t	w̃t	VERB
ejpam-3310	47	4	:	:	PUNCT
ejpam-3310	47	5	=	=	SYM
ejpam-3310	47	6	∞∑	∞∑	NUM
ejpam-3310	47	7	j=1	j=1	NOUN
ejpam-3310	47	8	√	√	NUM
ejpam-3310	47	9	λjbj(t)ej	λjbj(t)ej	NOUN
ejpam-3310	47	10	(	(	PUNCT
ejpam-3310	47	11	1	1	NUM
ejpam-3310	47	12	)	)	PUNCT
ejpam-3310	47	13	is	be	AUX
ejpam-3310	47	14	called	call	VERB
ejpam-3310	47	15	a	a	DET
ejpam-3310	47	16	q	q	ADJ
ejpam-3310	47	17	-	-	PUNCT
ejpam-3310	47	18	wiener	wiener	NOUN
ejpam-3310	47	19	process	process	NOUN
ejpam-3310	47	20	in	in	ADP
ejpam-3310	47	21	u	u	PROPN
ejpam-3310	47	22	.	.	PUNCT
ejpam-3310	48	1	the	the	DET
ejpam-3310	48	2	series	series	NOUN
ejpam-3310	48	3	in	in	ADP
ejpam-3310	48	4	(	(	PUNCT
ejpam-3310	48	5	1	1	X
ejpam-3310	48	6	)	)	PUNCT
ejpam-3310	48	7	converges	converge	NOUN
ejpam-3310	48	8	in	in	ADP
ejpam-3310	48	9	l2(ω	l2(ω	PROPN
ejpam-3310	48	10	,	,	PUNCT
ejpam-3310	48	11	u	u	NOUN
ejpam-3310	48	12	)	)	PUNCT
ejpam-3310	48	13	.	.	PUNCT
ejpam-3310	49	1	for	for	ADP
ejpam-3310	49	2	each	each	DET
ejpam-3310	49	3	u	u	PROPN
ejpam-3310	49	4	∈	∈	PROPN
ejpam-3310	49	5	u	u	NOUN
ejpam-3310	49	6	,	,	PUNCT
ejpam-3310	49	7	denote	denote	NOUN
ejpam-3310	49	8	w̃t(u	w̃t(u	PROPN
ejpam-3310	49	9	)	)	PUNCT
ejpam-3310	50	1	:	:	PUNCT
ejpam-3310	51	1	=	=	PUNCT
ejpam-3310	52	1	∞∑	∞∑	NUM
ejpam-3310	52	2	j=1	j=1	NOUN
ejpam-3310	52	3	√	√	ADP
ejpam-3310	52	4	λjbj(t	λjbj(t	NUM
ejpam-3310	52	5	)	)	PUNCT
ejpam-3310	53	1	〈	〈	PROPN
ejpam-3310	53	2	ej	ej	PROPN
ejpam-3310	53	3	,	,	PUNCT
ejpam-3310	53	4	u〉u	u〉u	PROPN
ejpam-3310	53	5	,	,	PUNCT
ejpam-3310	53	6	with	with	ADP
ejpam-3310	53	7	the	the	DET
ejpam-3310	53	8	series	series	NOUN
ejpam-3310	53	9	converging	converge	VERB
ejpam-3310	53	10	in	in	ADP
ejpam-3310	53	11	l2(ω	l2(ω	PROPN
ejpam-3310	53	12	,	,	PUNCT
ejpam-3310	53	13	r	r	NOUN
ejpam-3310	53	14	)	)	PUNCT
ejpam-3310	53	15	.	.	PUNCT
ejpam-3310	54	1	since	since	SCONJ
ejpam-3310	54	2	the	the	DET
ejpam-3310	54	3	operator	operator	NOUN
ejpam-3310	54	4	q	q	NOUN
ejpam-3310	54	5	is	be	AUX
ejpam-3310	54	6	assumed	assume	VERB
ejpam-3310	54	7	to	to	PART
ejpam-3310	54	8	be	be	AUX
ejpam-3310	54	9	symmetric	symmetric	ADJ
ejpam-3310	54	10	nonnegative	nonnegative	ADJ
ejpam-3310	54	11	definite	definite	ADJ
ejpam-3310	54	12	trace	trace	NOUN
ejpam-3310	54	13	-	-	PUNCT
ejpam-3310	54	14	class	class	NOUN
ejpam-3310	54	15	,	,	PUNCT
ejpam-3310	54	16	there	there	PRON
ejpam-3310	54	17	exists	exist	VERB
ejpam-3310	54	18	a	a	DET
ejpam-3310	54	19	u	u	NOUN
ejpam-3310	54	20	-valued	-value	VERB
ejpam-3310	54	21	process	process	NOUN
ejpam-3310	54	22	w	w	ADP
ejpam-3310	54	23	such	such	ADJ
ejpam-3310	54	24	that	that	DET
ejpam-3310	54	25	w̃t(u)(ω	w̃t(u)(ω	PROPN
ejpam-3310	54	26	)	)	PUNCT
ejpam-3310	55	1	=	=	SYM
ejpam-3310	55	2	〈	〈	PROPN
ejpam-3310	55	3	wt(ω	wt(ω	NOUN
ejpam-3310	55	4	)	)	PUNCT
ejpam-3310	55	5	,	,	PUNCT
ejpam-3310	55	6	u〉u	u〉u	VERB
ejpam-3310	55	7	p	p	NOUN
ejpam-3310	55	8	-	-	PUNCT
ejpam-3310	55	9	almost	almost	ADV
ejpam-3310	55	10	surely	surely	ADV
ejpam-3310	55	11	(	(	PUNCT
ejpam-3310	55	12	abbrev	abbrev	X
ejpam-3310	55	13	.	.	PUNCT
ejpam-3310	56	1	as	as	ADP
ejpam-3310	56	2	p	p	PROPN
ejpam-3310	56	3	-	-	PUNCT
ejpam-3310	56	4	a.s	a.s	PROPN
ejpam-3310	56	5	.	.	PROPN
ejpam-3310	56	6	)	)	PUNCT
ejpam-3310	56	7	.	.	PUNCT
ejpam-3310	57	1	(	(	PUNCT
ejpam-3310	57	2	2	2	X
ejpam-3310	57	3	)	)	PUNCT
ejpam-3310	57	4	we	we	PRON
ejpam-3310	57	5	call	call	VERB
ejpam-3310	57	6	the	the	DET
ejpam-3310	57	7	process	process	NOUN
ejpam-3310	57	8	w	w	ADP
ejpam-3310	57	9	a	a	PRON
ejpam-3310	57	10	u	u	NOUN
ejpam-3310	57	11	-valued	-valued	ADJ
ejpam-3310	57	12	q	q	ADJ
ejpam-3310	57	13	-	-	PUNCT
ejpam-3310	57	14	wiener	wiener	NOUN
ejpam-3310	57	15	process	process	NOUN
ejpam-3310	57	16	.	.	PUNCT
ejpam-3310	58	1	this	this	DET
ejpam-3310	58	2	process	process	NOUN
ejpam-3310	58	3	is	be	AUX
ejpam-3310	58	4	a	a	DET
ejpam-3310	58	5	multidimentional	multidimentional	ADJ
ejpam-3310	58	6	bm	bm	X
ejpam-3310	58	7	.	.	PUNCT
ejpam-3310	59	1	it	it	PRON
ejpam-3310	59	2	should	should	AUX
ejpam-3310	59	3	be	be	AUX
ejpam-3310	59	4	noted	note	VERB
ejpam-3310	59	5	that	that	SCONJ
ejpam-3310	59	6	if	if	SCONJ
ejpam-3310	59	7	we	we	PRON
ejpam-3310	59	8	assume	assume	VERB
ejpam-3310	59	9	that	that	SCONJ
ejpam-3310	59	10	λj	λj	PROPN
ejpam-3310	59	11	>	>	X
ejpam-3310	59	12	0	0	PUNCT
ejpam-3310	59	13	for	for	ADP
ejpam-3310	59	14	all	all	DET
ejpam-3310	59	15	j	j	PROPN
ejpam-3310	59	16	,	,	PUNCT
ejpam-3310	59	17	wt(ej)√	wt(ej)√	NOUN
ejpam-3310	59	18	λj	λj	PROPN
ejpam-3310	59	19	,	,	PUNCT
ejpam-3310	59	20	j	j	PROPN
ejpam-3310	59	21	=	=	SYM
ejpam-3310	59	22	1	1	NUM
ejpam-3310	59	23	,	,	PUNCT
ejpam-3310	59	24	2	2	NUM
ejpam-3310	59	25	,	,	PUNCT
ejpam-3310	59	26	.	.	PUNCT
ejpam-3310	59	27	.	.	PUNCT
ejpam-3310	60	1	.	.	PUNCT
ejpam-3310	61	1	,	,	PUNCT
ejpam-3310	61	2	is	be	AUX
ejpam-3310	61	3	a	a	DET
ejpam-3310	61	4	sequence	sequence	NOUN
ejpam-3310	61	5	of	of	ADP
ejpam-3310	61	6	real	real	ADV
ejpam-3310	61	7	-	-	PUNCT
ejpam-3310	61	8	valued	value	VERB
ejpam-3310	61	9	bm	bm	NOUN
ejpam-3310	61	10	defined	define	VERB
ejpam-3310	61	11	on	on	ADP
ejpam-3310	61	12	(	(	PUNCT
ejpam-3310	61	13	ω	ω	PROPN
ejpam-3310	61	14	,	,	PUNCT
ejpam-3310	61	15	f	f	PROPN
ejpam-3310	61	16	,	,	PUNCT
ejpam-3310	61	17	{	{	PUNCT
ejpam-3310	61	18	ft},p	ft},p	NOUN
ejpam-3310	61	19	)	)	PUNCT
ejpam-3310	61	20	,	,	PUNCT
ejpam-3310	61	21	see	see	VERB
ejpam-3310	61	22	[	[	X
ejpam-3310	61	23	15	15	NUM
ejpam-3310	61	24	,	,	PUNCT
ejpam-3310	61	25	p.87	p.87	PROPN
ejpam-3310	61	26	]	]	PUNCT
ejpam-3310	61	27	.	.	PUNCT
ejpam-3310	62	1	a	a	DET
ejpam-3310	62	2	filtration	filtration	NOUN
ejpam-3310	62	3	{	{	PUNCT
ejpam-3310	62	4	ft	ft	NOUN
ejpam-3310	62	5	}	}	PUNCT
ejpam-3310	62	6	on	on	ADP
ejpam-3310	62	7	a	a	DET
ejpam-3310	62	8	probability	probability	NOUN
ejpam-3310	62	9	space	space	NOUN
ejpam-3310	62	10	(	(	PUNCT
ejpam-3310	62	11	ω	ω	PROPN
ejpam-3310	62	12	,	,	PUNCT
ejpam-3310	62	13	f	f	PROPN
ejpam-3310	62	14	,	,	PUNCT
ejpam-3310	62	15	p	p	NOUN
ejpam-3310	62	16	)	)	PUNCT
ejpam-3310	62	17	is	be	AUX
ejpam-3310	62	18	called	call	VERB
ejpam-3310	62	19	normal	normal	ADJ
ejpam-3310	62	20	if	if	SCONJ
ejpam-3310	62	21	(	(	PUNCT
ejpam-3310	62	22	i	i	NOUN
ejpam-3310	62	23	)	)	PUNCT
ejpam-3310	62	24	f0	f0	PROPN
ejpam-3310	62	25	contains	contain	VERB
ejpam-3310	62	26	all	all	DET
ejpam-3310	62	27	elements	element	NOUN
ejpam-3310	62	28	a	a	DET
ejpam-3310	62	29	∈	∈	NOUN
ejpam-3310	62	30	f	f	NOUN
ejpam-3310	62	31	such	such	ADJ
ejpam-3310	62	32	that	that	DET
ejpam-3310	62	33	p(a	p(a	NOUN
ejpam-3310	62	34	)	)	PUNCT
ejpam-3310	62	35	=	=	SYM
ejpam-3310	62	36	0	0	NUM
ejpam-3310	62	37	,	,	PUNCT
ejpam-3310	62	38	and	and	CCONJ
ejpam-3310	62	39	(	(	PUNCT
ejpam-3310	62	40	ii	ii	NOUN
ejpam-3310	62	41	)	)	PUNCT
ejpam-3310	62	42	ft	ft	NOUN
ejpam-3310	62	43	=	=	PUNCT
ejpam-3310	62	44	ft+	ft+	NOUN
ejpam-3310	62	45	:	:	PUNCT
ejpam-3310	63	1	=	=	SYM
ejpam-3310	63	2	⋂	⋂	PROPN
ejpam-3310	63	3	s	s	X
ejpam-3310	63	4	>	>	X
ejpam-3310	63	5	t	t	X
ejpam-3310	63	6	fs	f	NOUN
ejpam-3310	63	7	for	for	ADP
ejpam-3310	63	8	all	all	DET
ejpam-3310	63	9	t	t	NOUN
ejpam-3310	63	10	∈	∈	PROPN
ejpam-3310	64	1	[	[	X
ejpam-3310	64	2	0	0	NUM
ejpam-3310	64	3	,	,	PUNCT
ejpam-3310	64	4	t	t	X
ejpam-3310	64	5	]	]	PUNCT
ejpam-3310	64	6	.	.	PUNCT
ejpam-3310	65	1	a	a	DET
ejpam-3310	65	2	q	q	ADJ
ejpam-3310	65	3	-	-	PUNCT
ejpam-3310	65	4	wiener	wiener	NOUN
ejpam-3310	65	5	process	process	NOUN
ejpam-3310	65	6	wt	wt	PROPN
ejpam-3310	65	7	,	,	PUNCT
ejpam-3310	65	8	t	t	PROPN
ejpam-3310	65	9	∈	∈	PROPN
ejpam-3310	66	1	[	[	X
ejpam-3310	66	2	0	0	NUM
ejpam-3310	66	3	,	,	PUNCT
ejpam-3310	66	4	t	t	PROPN
ejpam-3310	66	5	]	]	PUNCT
ejpam-3310	66	6	is	be	AUX
ejpam-3310	66	7	called	call	VERB
ejpam-3310	66	8	a	a	DET
ejpam-3310	66	9	q	q	ADJ
ejpam-3310	66	10	-	-	PUNCT
ejpam-3310	66	11	wiener	wiener	NOUN
ejpam-3310	66	12	process	process	NOUN
ejpam-3310	66	13	with	with	ADP
ejpam-3310	66	14	respect	respect	NOUN
ejpam-3310	66	15	to	to	ADP
ejpam-3310	66	16	a	a	DET
ejpam-3310	66	17	filtration	filtration	NOUN
ejpam-3310	66	18	{	{	PUNCT
ejpam-3310	66	19	ft	ft	NOUN
ejpam-3310	66	20	}	}	PUNCT
ejpam-3310	66	21	if	if	SCONJ
ejpam-3310	66	22	(	(	PUNCT
ejpam-3310	66	23	i	i	NOUN
ejpam-3310	66	24	)	)	PUNCT
ejpam-3310	66	25	wt	wt	PROPN
ejpam-3310	66	26	is	be	AUX
ejpam-3310	66	27	adapted	adapt	VERB
ejpam-3310	66	28	to	to	ADP
ejpam-3310	66	29	{	{	PUNCT
ejpam-3310	66	30	ft	ft	X
ejpam-3310	66	31	}	}	PUNCT
ejpam-3310	66	32	,	,	PUNCT
ejpam-3310	66	33	t	t	PROPN
ejpam-3310	66	34	∈	∈	PROPN
ejpam-3310	67	1	[	[	X
ejpam-3310	67	2	0	0	NUM
ejpam-3310	67	3	,	,	PUNCT
ejpam-3310	67	4	t	t	NOUN
ejpam-3310	67	5	]	]	PUNCT
ejpam-3310	67	6	and	and	CCONJ
ejpam-3310	67	7	(	(	PUNCT
ejpam-3310	67	8	ii	ii	NOUN
ejpam-3310	67	9	)	)	PUNCT
ejpam-3310	67	10	wt	wt	ADP
ejpam-3310	67	11	−ws	−ws	PROPN
ejpam-3310	67	12	is	be	AUX
ejpam-3310	67	13	independent	independent	ADJ
ejpam-3310	67	14	of	of	ADP
ejpam-3310	67	15	fs	f	NOUN
ejpam-3310	67	16	for	for	ADP
ejpam-3310	67	17	all	all	DET
ejpam-3310	67	18	0	0	NUM
ejpam-3310	67	19	≤	≤	NUM
ejpam-3310	67	20	s	s	PART
ejpam-3310	67	21	≤	≤	NUM
ejpam-3310	67	22	t	t	NOUN
ejpam-3310	67	23	≤	≤	NOUN
ejpam-3310	67	24	t	t	PROPN
ejpam-3310	67	25	.	.	PUNCT
ejpam-3310	68	1	it	it	PRON
ejpam-3310	68	2	is	be	AUX
ejpam-3310	68	3	shown	show	VERB
ejpam-3310	68	4	in	in	ADP
ejpam-3310	68	5	[	[	X
ejpam-3310	68	6	14	14	NUM
ejpam-3310	68	7	,	,	PUNCT
ejpam-3310	68	8	p.16	p.16	PROPN
ejpam-3310	68	9	]	]	PUNCT
ejpam-3310	68	10	that	that	SCONJ
ejpam-3310	68	11	a	a	DET
ejpam-3310	68	12	u	u	NOUN
ejpam-3310	68	13	-valued	-value	VERB
ejpam-3310	68	14	q	q	ADJ
ejpam-3310	68	15	-	-	PUNCT
ejpam-3310	68	16	wiener	wiener	NOUN
ejpam-3310	68	17	process	process	NOUN
ejpam-3310	68	18	w	w	PROPN
ejpam-3310	68	19	(	(	PUNCT
ejpam-3310	68	20	t	t	PROPN
ejpam-3310	68	21	)	)	PUNCT
ejpam-3310	68	22	,	,	PUNCT
ejpam-3310	68	23	t	t	PROPN
ejpam-3310	68	24	∈	∈	PROPN
ejpam-3310	69	1	[	[	X
ejpam-3310	69	2	0	0	NUM
ejpam-3310	69	3	,	,	PUNCT
ejpam-3310	69	4	t	t	X
ejpam-3310	69	5	]	]	PUNCT
ejpam-3310	69	6	,	,	PUNCT
ejpam-3310	69	7	is	be	AUX
ejpam-3310	69	8	a	a	DET
ejpam-3310	69	9	q	q	ADJ
ejpam-3310	69	10	-	-	PUNCT
ejpam-3310	69	11	wiener	wiener	NOUN
ejpam-3310	69	12	process	process	NOUN
ejpam-3310	69	13	with	with	ADP
ejpam-3310	69	14	respect	respect	NOUN
ejpam-3310	69	15	to	to	ADP
ejpam-3310	69	16	a	a	DET
ejpam-3310	69	17	normal	normal	ADJ
ejpam-3310	69	18	filtration	filtration	NOUN
ejpam-3310	69	19	.	.	PUNCT
ejpam-3310	70	1	from	from	ADP
ejpam-3310	70	2	now	now	ADV
ejpam-3310	70	3	onwards	onward	NOUN
ejpam-3310	70	4	,	,	PUNCT
ejpam-3310	70	5	a	a	DET
ejpam-3310	70	6	filtered	filter	VERB
ejpam-3310	70	7	probability	probability	NOUN
ejpam-3310	70	8	space	space	NOUN
ejpam-3310	70	9	(	(	PUNCT
ejpam-3310	70	10	ω	ω	PROPN
ejpam-3310	70	11	,	,	PUNCT
ejpam-3310	70	12	f	f	PROPN
ejpam-3310	70	13	,	,	PUNCT
ejpam-3310	70	14	{	{	PUNCT
ejpam-3310	70	15	ft},p	ft},p	NOUN
ejpam-3310	70	16	)	)	PUNCT
ejpam-3310	70	17	shall	shall	AUX
ejpam-3310	70	18	mean	mean	VERB
ejpam-3310	70	19	a	a	DET
ejpam-3310	70	20	probability	probability	NOUN
ejpam-3310	70	21	space	space	NOUN
ejpam-3310	70	22	equipped	equip	VERB
ejpam-3310	70	23	with	with	ADP
ejpam-3310	70	24	a	a	DET
ejpam-3310	70	25	normal	normal	ADJ
ejpam-3310	70	26	filtration	filtration	NOUN
ejpam-3310	70	27	.	.	PUNCT
ejpam-3310	71	1	3	3	X
ejpam-3310	71	2	.	.	X
ejpam-3310	71	3	itô-hentock	itô-hentock	VERB
ejpam-3310	71	4	integral	integral	ADJ
ejpam-3310	71	5	and	and	CCONJ
ejpam-3310	71	6	double	double	ADJ
ejpam-3310	71	7	lusin	lusin	NOUN
ejpam-3310	71	8	condition	condition	NOUN
ejpam-3310	71	9	in	in	ADP
ejpam-3310	71	10	[	[	X
ejpam-3310	71	11	19	19	NUM
ejpam-3310	71	12	]	]	PUNCT
ejpam-3310	71	13	,	,	PUNCT
ejpam-3310	71	14	chew	chew	VERB
ejpam-3310	71	15	et	et	PROPN
ejpam-3310	71	16	al	al	PROPN
ejpam-3310	71	17	.	.	PROPN
ejpam-3310	71	18	introduced	introduce	VERB
ejpam-3310	71	19	the	the	DET
ejpam-3310	71	20	itô-henstock	itô-henstock	NOUN
ejpam-3310	71	21	integral	integral	ADJ
ejpam-3310	71	22	of	of	ADP
ejpam-3310	71	23	a	a	DET
ejpam-3310	71	24	real	real	ADV
ejpam-3310	71	25	-	-	PUNCT
ejpam-3310	71	26	valued	value	VERB
ejpam-3310	71	27	process	process	NOUN
ejpam-3310	71	28	with	with	ADP
ejpam-3310	71	29	respect	respect	NOUN
ejpam-3310	71	30	to	to	ADP
ejpam-3310	71	31	a	a	DET
ejpam-3310	71	32	brownian	brownian	ADJ
ejpam-3310	71	33	motion	motion	NOUN
ejpam-3310	71	34	.	.	PUNCT
ejpam-3310	72	1	we	we	PRON
ejpam-3310	72	2	shall	shall	AUX
ejpam-3310	72	3	use	use	VERB
ejpam-3310	72	4	the	the	DET
ejpam-3310	72	5	same	same	ADJ
ejpam-3310	72	6	definition	definition	NOUN
ejpam-3310	72	7	of	of	ADP
ejpam-3310	72	8	belated	belate	VERB
ejpam-3310	72	9	partial	partial	ADJ
ejpam-3310	72	10	division	division	NOUN
ejpam-3310	72	11	employed	employ	VERB
ejpam-3310	72	12	by	by	ADP
ejpam-3310	72	13	the	the	DET
ejpam-3310	72	14	authors	author	NOUN
ejpam-3310	72	15	in	in	ADP
ejpam-3310	72	16	[	[	X
ejpam-3310	72	17	19	19	NUM
ejpam-3310	72	18	]	]	PUNCT
ejpam-3310	72	19	to	to	PART
ejpam-3310	72	20	define	define	VERB
ejpam-3310	72	21	the	the	DET
ejpam-3310	72	22	itô-henstock	itô-henstock	NOUN
ejpam-3310	72	23	integral	integral	ADJ
ejpam-3310	72	24	of	of	ADP
ejpam-3310	72	25	an	an	DET
ejpam-3310	72	26	l(u	l(u	PROPN
ejpam-3310	72	27	,	,	PUNCT
ejpam-3310	72	28	v	v	NOUN
ejpam-3310	72	29	)	)	PUNCT
ejpam-3310	72	30	-valued	-value	VERB
ejpam-3310	72	31	stochastic	stochastic	ADJ
ejpam-3310	72	32	process	process	NOUN
ejpam-3310	72	33	with	with	ADP
ejpam-3310	72	34	respect	respect	NOUN
ejpam-3310	72	35	to	to	ADP
ejpam-3310	72	36	a	a	DET
ejpam-3310	72	37	u	u	NOUN
ejpam-3310	72	38	-valued	-valued	ADJ
ejpam-3310	72	39	q	q	ADJ
ejpam-3310	72	40	-	-	PUNCT
ejpam-3310	72	41	wiener	wiener	NOUN
ejpam-3310	72	42	process	process	NOUN
ejpam-3310	72	43	.	.	PUNCT
ejpam-3310	73	1	we	we	PRON
ejpam-3310	73	2	note	note	VERB
ejpam-3310	73	3	that	that	SCONJ
ejpam-3310	73	4	the	the	DET
ejpam-3310	73	5	given	give	VERB
ejpam-3310	73	6	closed	closed	ADJ
ejpam-3310	73	7	and	and	CCONJ
ejpam-3310	73	8	bounded	bounded	ADJ
ejpam-3310	73	9	interval	interval	NOUN
ejpam-3310	73	10	[	[	X
ejpam-3310	73	11	0	0	NUM
ejpam-3310	73	12	,	,	PUNCT
ejpam-3310	73	13	t	t	PROPN
ejpam-3310	73	14	]	]	PUNCT
ejpam-3310	73	15	is	be	AUX
ejpam-3310	73	16	nondegenerate	nondegenerate	ADJ
ejpam-3310	73	17	,	,	PUNCT
ejpam-3310	73	18	i.e.	i.e.	X
ejpam-3310	73	19	0	0	X
ejpam-3310	73	20	<	<	X
ejpam-3310	73	21	t	t	PROPN
ejpam-3310	73	22	,	,	PUNCT
ejpam-3310	73	23	which	which	PRON
ejpam-3310	73	24	can	can	AUX
ejpam-3310	73	25	be	be	AUX
ejpam-3310	73	26	replaced	replace	VERB
ejpam-3310	73	27	with	with	ADP
ejpam-3310	73	28	any	any	DET
ejpam-3310	73	29	interval	interval	NOUN
ejpam-3310	73	30	[	[	X
ejpam-3310	73	31	a	a	X
ejpam-3310	73	32	,	,	PUNCT
ejpam-3310	73	33	b	b	NOUN
ejpam-3310	73	34	]	]	X
ejpam-3310	73	35	.	.	PUNCT
ejpam-3310	74	1	if	if	SCONJ
ejpam-3310	74	2	no	no	DET
ejpam-3310	74	3	confusion	confusion	NOUN
ejpam-3310	74	4	arises	arise	VERB
ejpam-3310	74	5	,	,	PUNCT
ejpam-3310	74	6	we	we	PRON
ejpam-3310	74	7	may	may	AUX
ejpam-3310	74	8	write	write	VERB
ejpam-3310	74	9	(	(	PUNCT
ejpam-3310	74	10	d	d	PROPN
ejpam-3310	74	11	)	)	PUNCT
ejpam-3310	74	12	∑	∑	ADP
ejpam-3310	74	13	instead	instead	ADV
ejpam-3310	74	14	of	of	ADP
ejpam-3310	74	15	n∑	n∑	PROPN
ejpam-3310	74	16	i=1	i=1	PROPN
ejpam-3310	74	17	for	for	ADP
ejpam-3310	74	18	the	the	DET
ejpam-3310	74	19	given	give	VERB
ejpam-3310	74	20	finite	finite	ADJ
ejpam-3310	74	21	collection	collection	PROPN
ejpam-3310	74	22	d.	d.	PROPN
ejpam-3310	74	23	m.	m.	PROPN
ejpam-3310	74	24	labendia	labendia	PROPN
ejpam-3310	74	25	,	,	PUNCT
ejpam-3310	74	26	j.	j.	PROPN
ejpam-3310	74	27	arcede	arcede	PROPN
ejpam-3310	74	28	/	/	SYM
ejpam-3310	74	29	eur	eur	PROPN
ejpam-3310	74	30	.	.	PUNCT
ejpam-3310	75	1	j.	j.	PROPN
ejpam-3310	75	2	pure	pure	PROPN
ejpam-3310	75	3	appl	appl	PROPN
ejpam-3310	75	4	.	.	PROPN
ejpam-3310	75	5	math	math	PROPN
ejpam-3310	75	6	,	,	PUNCT
ejpam-3310	75	7	11	11	NUM
ejpam-3310	75	8	(	(	PUNCT
ejpam-3310	75	9	4	4	NUM
ejpam-3310	75	10	)	)	PUNCT
ejpam-3310	75	11	(	(	PUNCT
ejpam-3310	75	12	2018	2018	NUM
ejpam-3310	75	13	)	)	PUNCT
ejpam-3310	75	14	,	,	PUNCT
ejpam-3310	75	15	1003	1003	NUM
ejpam-3310	75	16	-	-	SYM
ejpam-3310	75	17	1013	1013	NUM
ejpam-3310	75	18	1006	1006	NUM
ejpam-3310	75	19	definition	definition	NOUN
ejpam-3310	75	20	1	1	NUM
ejpam-3310	75	21	.	.	PUNCT
ejpam-3310	76	1	let	let	VERB
ejpam-3310	76	2	δ	δ	PRON
ejpam-3310	76	3	be	be	AUX
ejpam-3310	76	4	a	a	DET
ejpam-3310	76	5	positive	positive	ADJ
ejpam-3310	76	6	function	function	NOUN
ejpam-3310	76	7	on	on	ADP
ejpam-3310	76	8	[	[	X
ejpam-3310	76	9	0	0	NUM
ejpam-3310	76	10	,	,	PUNCT
ejpam-3310	76	11	t	t	X
ejpam-3310	76	12	]	]	PUNCT
ejpam-3310	76	13	.	.	PUNCT
ejpam-3310	77	1	a	a	DET
ejpam-3310	77	2	finite	finite	ADJ
ejpam-3310	77	3	collection	collection	NOUN
ejpam-3310	77	4	d	d	PROPN
ejpam-3310	77	5	of	of	ADP
ejpam-3310	77	6	interval	interval	NOUN
ejpam-3310	77	7	-	-	PUNCT
ejpam-3310	77	8	point	point	NOUN
ejpam-3310	77	9	pairs	pair	NOUN
ejpam-3310	77	10	{	{	PUNCT
ejpam-3310	77	11	(	(	PUNCT
ejpam-3310	77	12	(	(	PUNCT
ejpam-3310	77	13	ξi	ξi	NOUN
ejpam-3310	77	14	,	,	PUNCT
ejpam-3310	77	15	vi	vi	PROPN
ejpam-3310	77	16	]	]	PUNCT
ejpam-3310	77	17	,	,	PUNCT
ejpam-3310	77	18	ξi)}ni=1	ξi)}ni=1	PROPN
ejpam-3310	77	19	is	be	AUX
ejpam-3310	77	20	a	a	DET
ejpam-3310	77	21	δ	δ	NOUN
ejpam-3310	77	22	-	-	PUNCT
ejpam-3310	77	23	fine	fine	ADJ
ejpam-3310	77	24	belated	belate	VERB
ejpam-3310	77	25	partial	partial	ADJ
ejpam-3310	77	26	division	division	NOUN
ejpam-3310	77	27	of	of	ADP
ejpam-3310	77	28	[	[	X
ejpam-3310	77	29	0	0	NUM
ejpam-3310	77	30	,	,	PUNCT
ejpam-3310	77	31	t	t	X
ejpam-3310	77	32	]	]	PUNCT
ejpam-3310	77	33	if	if	SCONJ
ejpam-3310	77	34	(	(	PUNCT
ejpam-3310	77	35	i	i	NOUN
ejpam-3310	77	36	)	)	PUNCT
ejpam-3310	77	37	(	(	PUNCT
ejpam-3310	77	38	ξi	ξi	NOUN
ejpam-3310	77	39	,	,	PUNCT
ejpam-3310	77	40	vi	vi	PROPN
ejpam-3310	77	41	]	]	PUNCT
ejpam-3310	77	42	,	,	PUNCT
ejpam-3310	77	43	i	i	PRON
ejpam-3310	77	44	=	=	NOUN
ejpam-3310	77	45	1	1	NUM
ejpam-3310	77	46	,	,	PUNCT
ejpam-3310	77	47	2	2	NUM
ejpam-3310	77	48	,	,	PUNCT
ejpam-3310	77	49	.	.	PUNCT
ejpam-3310	77	50	.	.	PUNCT
ejpam-3310	78	1	.	.	PUNCT
ejpam-3310	79	1	,	,	PUNCT
ejpam-3310	79	2	n	n	CCONJ
ejpam-3310	79	3	,	,	PUNCT
ejpam-3310	79	4	are	be	AUX
ejpam-3310	79	5	disjoint	disjoint	ADJ
ejpam-3310	79	6	subintervals	subinterval	NOUN
ejpam-3310	79	7	of	of	ADP
ejpam-3310	79	8	[	[	X
ejpam-3310	79	9	0	0	NUM
ejpam-3310	79	10	,	,	PUNCT
ejpam-3310	79	11	t	t	X
ejpam-3310	79	12	]	]	PUNCT
ejpam-3310	79	13	;	;	PUNCT
ejpam-3310	79	14	and	and	CCONJ
ejpam-3310	79	15	(	(	PUNCT
ejpam-3310	79	16	ii	ii	NOUN
ejpam-3310	79	17	)	)	PUNCT
ejpam-3310	79	18	each	each	PRON
ejpam-3310	79	19	(	(	PUNCT
ejpam-3310	79	20	ξi	ξi	NOUN
ejpam-3310	79	21	,	,	PUNCT
ejpam-3310	79	22	vi	vi	X
ejpam-3310	79	23	]	]	PUNCT
ejpam-3310	79	24	is	be	AUX
ejpam-3310	79	25	δ	δ	PROPN
ejpam-3310	79	26	-	-	PUNCT
ejpam-3310	79	27	fine	fine	NOUN
ejpam-3310	79	28	belated	belate	VERB
ejpam-3310	79	29	,	,	PUNCT
ejpam-3310	79	30	that	that	ADV
ejpam-3310	79	31	is	is	ADV
ejpam-3310	79	32	,	,	PUNCT
ejpam-3310	79	33	(	(	PUNCT
ejpam-3310	79	34	ξi	ξi	NOUN
ejpam-3310	79	35	,	,	PUNCT
ejpam-3310	79	36	vi	vi	X
ejpam-3310	79	37	]	]	X
ejpam-3310	79	38	⊂	⊂	X
ejpam-3310	80	1	[	[	X
ejpam-3310	80	2	ξi	ξi	NOUN
ejpam-3310	80	3	,	,	PUNCT
ejpam-3310	80	4	ξi	ξi	NOUN
ejpam-3310	80	5	+	+	CCONJ
ejpam-3310	80	6	δ(ξi	δ(ξi	NOUN
ejpam-3310	80	7	)	)	PUNCT
ejpam-3310	80	8	)	)	PUNCT
ejpam-3310	80	9	.	.	PUNCT
ejpam-3310	81	1	the	the	DET
ejpam-3310	81	2	term	term	NOUN
ejpam-3310	81	3	partial	partial	ADJ
ejpam-3310	81	4	is	be	AUX
ejpam-3310	81	5	used	use	VERB
ejpam-3310	81	6	in	in	ADP
ejpam-3310	81	7	definition	definition	NOUN
ejpam-3310	81	8	1	1	NUM
ejpam-3310	81	9	since	since	SCONJ
ejpam-3310	81	10	the	the	DET
ejpam-3310	81	11	finite	finite	ADJ
ejpam-3310	81	12	collection	collection	NOUN
ejpam-3310	81	13	of	of	ADP
ejpam-3310	81	14	disjoint	disjoint	NOUN
ejpam-3310	81	15	left	left	ADJ
ejpam-3310	81	16	-	-	PUNCT
ejpam-3310	81	17	open	open	ADJ
ejpam-3310	81	18	subintervals	subinterval	NOUN
ejpam-3310	81	19	of	of	ADP
ejpam-3310	81	20	[	[	X
ejpam-3310	81	21	0	0	NUM
ejpam-3310	81	22	,	,	PUNCT
ejpam-3310	81	23	t	t	PROPN
ejpam-3310	81	24	]	]	PUNCT
ejpam-3310	81	25	may	may	AUX
ejpam-3310	81	26	not	not	PART
ejpam-3310	81	27	cover	cover	VERB
ejpam-3310	81	28	the	the	DET
ejpam-3310	81	29	entire	entire	ADJ
ejpam-3310	81	30	interval	interval	NOUN
ejpam-3310	81	31	[	[	X
ejpam-3310	81	32	0	0	NUM
ejpam-3310	81	33	,	,	PUNCT
ejpam-3310	81	34	t	t	X
ejpam-3310	81	35	]	]	PUNCT
ejpam-3310	81	36	.	.	PUNCT
ejpam-3310	82	1	using	use	VERB
ejpam-3310	82	2	the	the	DET
ejpam-3310	82	3	vitali	vitali	PROPN
ejpam-3310	82	4	covering	cover	VERB
ejpam-3310	82	5	lemma	lemma	PROPN
ejpam-3310	82	6	,	,	PUNCT
ejpam-3310	82	7	the	the	DET
ejpam-3310	82	8	following	follow	VERB
ejpam-3310	82	9	concept	concept	NOUN
ejpam-3310	82	10	can	can	AUX
ejpam-3310	82	11	be	be	AUX
ejpam-3310	82	12	defined	define	VERB
ejpam-3310	82	13	.	.	PUNCT
ejpam-3310	83	1	definition	definition	NOUN
ejpam-3310	83	2	2	2	NUM
ejpam-3310	83	3	.	.	PUNCT
ejpam-3310	83	4	given	give	VERB
ejpam-3310	83	5	η	η	PROPN
ejpam-3310	83	6	>	>	X
ejpam-3310	83	7	0	0	PROPN
ejpam-3310	83	8	,	,	PUNCT
ejpam-3310	83	9	a	a	DET
ejpam-3310	83	10	given	give	VERB
ejpam-3310	83	11	δ	δ	NOUN
ejpam-3310	83	12	-	-	PUNCT
ejpam-3310	83	13	fine	fine	ADJ
ejpam-3310	83	14	belated	belate	VERB
ejpam-3310	83	15	partial	partial	ADJ
ejpam-3310	83	16	division	division	NOUN
ejpam-3310	83	17	d	d	NOUN
ejpam-3310	83	18	=	=	PRON
ejpam-3310	83	19	{	{	PUNCT
ejpam-3310	83	20	(	(	PUNCT
ejpam-3310	83	21	(	(	PUNCT
ejpam-3310	83	22	ξ	ξ	X
ejpam-3310	83	23	,	,	PUNCT
ejpam-3310	83	24	v	v	NOUN
ejpam-3310	83	25	]	]	X
ejpam-3310	83	26	,	,	PUNCT
ejpam-3310	83	27	ξ	ξ	X
ejpam-3310	83	28	)	)	PUNCT
ejpam-3310	83	29	}	}	PUNCT
ejpam-3310	83	30	is	be	AUX
ejpam-3310	83	31	said	say	VERB
ejpam-3310	83	32	to	to	PART
ejpam-3310	83	33	be	be	AUX
ejpam-3310	83	34	a	a	DET
ejpam-3310	83	35	(	(	PUNCT
ejpam-3310	83	36	δ	δ	PROPN
ejpam-3310	83	37	,	,	PUNCT
ejpam-3310	83	38	η)-fine	η)-fine	NOUN
ejpam-3310	83	39	belated	belate	VERB
ejpam-3310	83	40	partial	partial	ADJ
ejpam-3310	83	41	division	division	NOUN
ejpam-3310	83	42	of	of	ADP
ejpam-3310	83	43	[	[	X
ejpam-3310	83	44	0	0	NUM
ejpam-3310	83	45	,	,	PUNCT
ejpam-3310	83	46	t	t	X
ejpam-3310	83	47	]	]	PUNCT
ejpam-3310	83	48	if	if	SCONJ
ejpam-3310	83	49	it	it	PRON
ejpam-3310	83	50	fails	fail	VERB
ejpam-3310	83	51	to	to	PART
ejpam-3310	83	52	cover	cover	VERB
ejpam-3310	83	53	[	[	X
ejpam-3310	83	54	0	0	NUM
ejpam-3310	83	55	,	,	PUNCT
ejpam-3310	83	56	t	t	X
ejpam-3310	83	57	]	]	PUNCT
ejpam-3310	83	58	by	by	ADP
ejpam-3310	83	59	at	at	ADP
ejpam-3310	83	60	most	most	ADJ
ejpam-3310	83	61	length	length	NOUN
ejpam-3310	83	62	η	η	PROPN
ejpam-3310	83	63	,	,	PUNCT
ejpam-3310	83	64	that	that	ADV
ejpam-3310	83	65	is	be	AUX
ejpam-3310	83	66	,	,	PUNCT
ejpam-3310	83	67	∣∣∣t	∣∣∣t	NOUN
ejpam-3310	83	68	−	−	PROPN
ejpam-3310	83	69	(	(	PUNCT
ejpam-3310	83	70	d	d	NOUN
ejpam-3310	83	71	)	)	PUNCT
ejpam-3310	83	72	∑	∑	PUNCT
ejpam-3310	83	73	(	(	PUNCT
ejpam-3310	83	74	v	v	ADP
ejpam-3310	83	75	−	−	PROPN
ejpam-3310	83	76	ξ	ξ	NOUN
ejpam-3310	83	77	)	)	PUNCT
ejpam-3310	83	78	∣∣∣	∣∣∣	NOUN
ejpam-3310	83	79	≤	≤	PROPN
ejpam-3310	83	80	η	η	PROPN
ejpam-3310	83	81	.	.	PROPN
ejpam-3310	84	1	this	this	DET
ejpam-3310	84	2	type	type	NOUN
ejpam-3310	84	3	of	of	ADP
ejpam-3310	84	4	partial	partial	ADJ
ejpam-3310	84	5	division	division	NOUN
ejpam-3310	84	6	is	be	AUX
ejpam-3310	84	7	the	the	DET
ejpam-3310	84	8	basis	basis	NOUN
ejpam-3310	84	9	to	to	PART
ejpam-3310	84	10	which	which	PRON
ejpam-3310	84	11	we	we	PRON
ejpam-3310	84	12	define	define	VERB
ejpam-3310	84	13	the	the	DET
ejpam-3310	84	14	itô-henstock	itô-henstock	NOUN
ejpam-3310	84	15	integral	integral	PROPN
ejpam-3310	84	16	.	.	PUNCT
ejpam-3310	85	1	throughout	throughout	ADP
ejpam-3310	85	2	the	the	DET
ejpam-3310	85	3	succeeding	succeed	VERB
ejpam-3310	85	4	discussions	discussion	NOUN
ejpam-3310	85	5	,	,	PUNCT
ejpam-3310	85	6	assume	assume	VERB
ejpam-3310	85	7	that	that	SCONJ
ejpam-3310	85	8	u	u	PROPN
ejpam-3310	85	9	and	and	CCONJ
ejpam-3310	85	10	v	v	NOUN
ejpam-3310	85	11	are	be	AUX
ejpam-3310	85	12	separable	separable	ADJ
ejpam-3310	85	13	hilbert	hilbert	PROPN
ejpam-3310	85	14	spaces	space	NOUN
ejpam-3310	85	15	,	,	PUNCT
ejpam-3310	85	16	q	q	NOUN
ejpam-3310	85	17	:	:	PUNCT
ejpam-3310	85	18	u	u	X
ejpam-3310	85	19	→	→	SYM
ejpam-3310	85	20	u	u	PROPN
ejpam-3310	85	21	is	be	AUX
ejpam-3310	85	22	a	a	DET
ejpam-3310	85	23	symmetric	symmetric	ADJ
ejpam-3310	85	24	nonnegative	nonnegative	ADJ
ejpam-3310	85	25	definite	definite	ADJ
ejpam-3310	85	26	trace	trace	NOUN
ejpam-3310	85	27	-	-	PUNCT
ejpam-3310	85	28	class	class	NOUN
ejpam-3310	85	29	operator	operator	NOUN
ejpam-3310	85	30	,	,	PUNCT
ejpam-3310	85	31	{	{	PUNCT
ejpam-3310	85	32	λj	λj	PROPN
ejpam-3310	85	33	,	,	PUNCT
ejpam-3310	85	34	ej	ej	X
ejpam-3310	85	35	}	}	PUNCT
ejpam-3310	85	36	is	be	AUX
ejpam-3310	85	37	an	an	DET
ejpam-3310	85	38	eigensequence	eigensequence	NOUN
ejpam-3310	85	39	defined	define	VERB
ejpam-3310	85	40	by	by	ADP
ejpam-3310	85	41	q	q	PROPN
ejpam-3310	85	42	,	,	PUNCT
ejpam-3310	85	43	and	and	CCONJ
ejpam-3310	85	44	w	w	NOUN
ejpam-3310	85	45	is	be	AUX
ejpam-3310	85	46	a	a	DET
ejpam-3310	85	47	u	u	NOUN
ejpam-3310	85	48	-valued	-valued	ADJ
ejpam-3310	85	49	q	q	ADJ
ejpam-3310	85	50	-	-	PUNCT
ejpam-3310	85	51	wiener	wiener	NOUN
ejpam-3310	85	52	process	process	NOUN
ejpam-3310	85	53	.	.	PUNCT
ejpam-3310	86	1	a	a	DET
ejpam-3310	86	2	stochastic	stochastic	ADJ
ejpam-3310	86	3	process	process	NOUN
ejpam-3310	86	4	f	f	NOUN
ejpam-3310	86	5	:	:	PUNCT
ejpam-3310	87	1	[	[	X
ejpam-3310	87	2	0	0	NUM
ejpam-3310	87	3	,	,	PUNCT
ejpam-3310	87	4	t	t	X
ejpam-3310	87	5	]	]	X
ejpam-3310	87	6	×	×	PROPN
ejpam-3310	87	7	ω	ω	PROPN
ejpam-3310	87	8	→	→	SYM
ejpam-3310	87	9	l(u	l(u	PROPN
ejpam-3310	87	10	,	,	PUNCT
ejpam-3310	87	11	v	v	NOUN
ejpam-3310	87	12	)	)	PUNCT
ejpam-3310	87	13	means	mean	VERB
ejpam-3310	87	14	a	a	DET
ejpam-3310	87	15	process	process	NOUN
ejpam-3310	87	16	measurable	measurable	ADJ
ejpam-3310	87	17	as	as	ADP
ejpam-3310	87	18	mappings	mapping	NOUN
ejpam-3310	87	19	from	from	ADP
ejpam-3310	87	20	(	(	PUNCT
ejpam-3310	87	21	[	[	X
ejpam-3310	87	22	0	0	NUM
ejpam-3310	87	23	,	,	PUNCT
ejpam-3310	87	24	t	t	X
ejpam-3310	87	25	]	]	X
ejpam-3310	87	26	×	×	PROPN
ejpam-3310	87	27	ω	ω	PROPN
ejpam-3310	87	28	,	,	PUNCT
ejpam-3310	87	29	b([0	b([0	PROPN
ejpam-3310	87	30	,	,	PUNCT
ejpam-3310	87	31	t	t	NOUN
ejpam-3310	87	32	]	]	PUNCT
ejpam-3310	87	33	)	)	PUNCT
ejpam-3310	87	34	⊗f	⊗f	NOUN
ejpam-3310	87	35	)	)	PUNCT
ejpam-3310	87	36	to	to	ADP
ejpam-3310	87	37	(	(	PUNCT
ejpam-3310	87	38	l2(uq	l2(uq	PROPN
ejpam-3310	87	39	,	,	PUNCT
ejpam-3310	87	40	v	v	NOUN
ejpam-3310	87	41	)	)	PUNCT
ejpam-3310	87	42	,	,	PUNCT
ejpam-3310	87	43	b(l2(uq	b(l2(uq	NOUN
ejpam-3310	87	44	,	,	PUNCT
ejpam-3310	87	45	v	v	NOUN
ejpam-3310	87	46	)	)	PUNCT
ejpam-3310	87	47	)	)	PUNCT
ejpam-3310	87	48	)	)	PUNCT
ejpam-3310	87	49	.	.	PUNCT
ejpam-3310	88	1	definition	definition	NOUN
ejpam-3310	88	2	3	3	X
ejpam-3310	88	3	.	.	PUNCT
ejpam-3310	89	1	let	let	VERB
ejpam-3310	89	2	f	f	NOUN
ejpam-3310	89	3	:	:	PUNCT
ejpam-3310	90	1	[	[	X
ejpam-3310	90	2	0	0	NUM
ejpam-3310	90	3	,	,	PUNCT
ejpam-3310	90	4	t	t	X
ejpam-3310	90	5	]	]	PUNCT
ejpam-3310	90	6	×	×	PROPN
ejpam-3310	90	7	ω	ω	PROPN
ejpam-3310	90	8	→	→	SYM
ejpam-3310	90	9	l(u	l(u	PROPN
ejpam-3310	90	10	,	,	PUNCT
ejpam-3310	90	11	v	v	NOUN
ejpam-3310	90	12	)	)	PUNCT
ejpam-3310	90	13	be	be	AUX
ejpam-3310	90	14	an	an	DET
ejpam-3310	90	15	adapted	adapt	VERB
ejpam-3310	90	16	process	process	NOUN
ejpam-3310	90	17	.	.	PUNCT
ejpam-3310	91	1	then	then	ADV
ejpam-3310	91	2	f	f	PROPN
ejpam-3310	91	3	is	be	AUX
ejpam-3310	91	4	said	say	VERB
ejpam-3310	91	5	to	to	PART
ejpam-3310	91	6	be	be	AUX
ejpam-3310	91	7	itô-henstock	itô-henstock	NOUN
ejpam-3310	91	8	integrable	integrable	ADJ
ejpam-3310	91	9	,	,	PUNCT
ejpam-3310	91	10	or	or	CCONJ
ejpam-3310	91	11	ih	ih	NOUN
ejpam-3310	91	12	-	-	PUNCT
ejpam-3310	91	13	integrable	integrable	ADJ
ejpam-3310	91	14	,	,	PUNCT
ejpam-3310	91	15	on	on	ADP
ejpam-3310	91	16	[	[	X
ejpam-3310	91	17	0	0	NUM
ejpam-3310	91	18	,	,	PUNCT
ejpam-3310	91	19	t	t	X
ejpam-3310	91	20	]	]	PUNCT
ejpam-3310	91	21	with	with	ADP
ejpam-3310	91	22	respect	respect	NOUN
ejpam-3310	91	23	to	to	ADP
ejpam-3310	91	24	w	w	NOUN
ejpam-3310	91	25	if	if	SCONJ
ejpam-3310	91	26	there	there	PRON
ejpam-3310	91	27	exists	exist	VERB
ejpam-3310	91	28	a	a	DET
ejpam-3310	91	29	∈	∈	PROPN
ejpam-3310	91	30	l2(ω	l2(ω	PROPN
ejpam-3310	91	31	,	,	PUNCT
ejpam-3310	91	32	v	v	NOUN
ejpam-3310	91	33	)	)	PUNCT
ejpam-3310	91	34	such	such	ADJ
ejpam-3310	91	35	that	that	PRON
ejpam-3310	91	36	for	for	ADP
ejpam-3310	91	37	every	every	DET
ejpam-3310	91	38	ε	ε	PROPN
ejpam-3310	91	39	>	>	X
ejpam-3310	91	40	0	0	PROPN
ejpam-3310	91	41	,	,	PUNCT
ejpam-3310	91	42	there	there	PRON
ejpam-3310	91	43	is	be	VERB
ejpam-3310	91	44	a	a	DET
ejpam-3310	91	45	positive	positive	ADJ
ejpam-3310	91	46	function	function	NOUN
ejpam-3310	91	47	δ	δ	PROPN
ejpam-3310	91	48	on	on	ADP
ejpam-3310	91	49	[	[	X
ejpam-3310	91	50	0	0	NUM
ejpam-3310	91	51	,	,	PUNCT
ejpam-3310	91	52	t	t	NOUN
ejpam-3310	91	53	]	]	PUNCT
ejpam-3310	91	54	and	and	CCONJ
ejpam-3310	91	55	a	a	DET
ejpam-3310	91	56	positive	positive	ADJ
ejpam-3310	91	57	number	number	NOUN
ejpam-3310	91	58	η	η	PROPN
ejpam-3310	91	59	>	>	X
ejpam-3310	91	60	0	0	NUM
ejpam-3310	91	61	such	such	ADJ
ejpam-3310	91	62	that	that	PRON
ejpam-3310	91	63	for	for	ADP
ejpam-3310	91	64	any	any	DET
ejpam-3310	91	65	(	(	PUNCT
ejpam-3310	91	66	δ	δ	PROPN
ejpam-3310	91	67	,	,	PUNCT
ejpam-3310	91	68	η)-fine	η)-fine	NOUN
ejpam-3310	91	69	belated	belate	VERB
ejpam-3310	91	70	partial	partial	ADJ
ejpam-3310	91	71	division	division	NOUN
ejpam-3310	91	72	d	d	NOUN
ejpam-3310	91	73	=	=	PRON
ejpam-3310	91	74	{	{	PUNCT
ejpam-3310	91	75	(	(	PUNCT
ejpam-3310	91	76	(	(	PUNCT
ejpam-3310	91	77	ξi	ξi	NOUN
ejpam-3310	91	78	,	,	PUNCT
ejpam-3310	91	79	vi	vi	PROPN
ejpam-3310	91	80	]	]	PUNCT
ejpam-3310	91	81	,	,	PUNCT
ejpam-3310	91	82	ξi)}ni=1	ξi)}ni=1	NOUN
ejpam-3310	91	83	of	of	ADP
ejpam-3310	91	84	[	[	X
ejpam-3310	91	85	0	0	NUM
ejpam-3310	91	86	,	,	PUNCT
ejpam-3310	91	87	t	t	X
ejpam-3310	91	88	]	]	PUNCT
ejpam-3310	91	89	,	,	PUNCT
ejpam-3310	91	90	we	we	PRON
ejpam-3310	91	91	have	have	VERB
ejpam-3310	91	92	e	e	X
ejpam-3310	91	93	[	[	PUNCT
ejpam-3310	91	94	‖s(f	‖s(f	ADJ
ejpam-3310	91	95	,	,	PUNCT
ejpam-3310	91	96	d	d	PROPN
ejpam-3310	91	97	,	,	PUNCT
ejpam-3310	91	98	δ	δ	PROPN
ejpam-3310	91	99	,	,	PUNCT
ejpam-3310	91	100	η)−a‖2v	η)−a‖2v	PROPN
ejpam-3310	91	101	]	]	PUNCT
ejpam-3310	91	102	<	<	X
ejpam-3310	91	103	ε	ε	PROPN
ejpam-3310	91	104	,	,	PUNCT
ejpam-3310	91	105	where	where	SCONJ
ejpam-3310	91	106	s(f	s(f	PROPN
ejpam-3310	91	107	,	,	PUNCT
ejpam-3310	91	108	d	d	PROPN
ejpam-3310	91	109	,	,	PUNCT
ejpam-3310	91	110	δ	δ	PROPN
ejpam-3310	91	111	,	,	PUNCT
ejpam-3310	91	112	η	η	PROPN
ejpam-3310	91	113	)	)	PUNCT
ejpam-3310	91	114	:	:	PUNCT
ejpam-3310	91	115	=	=	SYM
ejpam-3310	91	116	(	(	PUNCT
ejpam-3310	91	117	d	d	NOUN
ejpam-3310	91	118	)	)	PUNCT
ejpam-3310	91	119	∑	∑	PUNCT
ejpam-3310	91	120	fξ(wv	fξ(wv	VERB
ejpam-3310	91	121	−wξ	−wξ	PROPN
ejpam-3310	91	122	)	)	PUNCT
ejpam-3310	91	123	:	:	PUNCT
ejpam-3310	92	1	=	=	PUNCT
ejpam-3310	92	2	n∑	n∑	PROPN
ejpam-3310	92	3	i=1	i=1	PROPN
ejpam-3310	92	4	fξi(wvi	fξi(wvi	PROPN
ejpam-3310	92	5	−wξi	−wξi	NOUN
ejpam-3310	92	6	)	)	PUNCT
ejpam-3310	92	7	.	.	PUNCT
ejpam-3310	93	1	in	in	ADP
ejpam-3310	93	2	this	this	DET
ejpam-3310	93	3	case	case	NOUN
ejpam-3310	93	4	,	,	PUNCT
ejpam-3310	93	5	f	f	PROPN
ejpam-3310	93	6	is	be	AUX
ejpam-3310	93	7	ih	ih	NOUN
ejpam-3310	93	8	-	-	PUNCT
ejpam-3310	93	9	integrable	integrable	ADJ
ejpam-3310	93	10	to	to	ADP
ejpam-3310	93	11	a	a	PRON
ejpam-3310	93	12	on	on	ADP
ejpam-3310	93	13	[	[	X
ejpam-3310	93	14	0	0	NUM
ejpam-3310	93	15	,	,	PUNCT
ejpam-3310	93	16	t	t	NOUN
ejpam-3310	93	17	]	]	PUNCT
ejpam-3310	93	18	and	and	CCONJ
ejpam-3310	93	19	a	a	PRON
ejpam-3310	93	20	is	be	AUX
ejpam-3310	93	21	called	call	VERB
ejpam-3310	93	22	the	the	DET
ejpam-3310	93	23	ih	ih	NOUN
ejpam-3310	93	24	-	-	NOUN
ejpam-3310	93	25	integral	integral	ADJ
ejpam-3310	93	26	of	of	ADP
ejpam-3310	93	27	f	f	PRON
ejpam-3310	93	28	which	which	PRON
ejpam-3310	93	29	will	will	AUX
ejpam-3310	93	30	be	be	AUX
ejpam-3310	93	31	denoted	denote	VERB
ejpam-3310	93	32	by	by	ADP
ejpam-3310	93	33	(	(	PUNCT
ejpam-3310	93	34	ih	ih	NOUN
ejpam-3310	93	35	)	)	PUNCT
ejpam-3310	93	36	∫	∫	PROPN
ejpam-3310	94	1	t	t	PROPN
ejpam-3310	94	2	0	0	NUM
ejpam-3310	94	3	ft	ft	NOUN
ejpam-3310	94	4	dwt	dwt	NOUN
ejpam-3310	94	5	or	or	CCONJ
ejpam-3310	94	6	(	(	PUNCT
ejpam-3310	94	7	ih	ih	NOUN
ejpam-3310	94	8	)	)	PUNCT
ejpam-3310	95	1	∫	∫	PROPN
ejpam-3310	95	2	t	t	PROPN
ejpam-3310	95	3	0	0	NUM
ejpam-3310	96	1	f	f	PROPN
ejpam-3310	96	2	dw	dw	PROPN
ejpam-3310	96	3	.	.	PUNCT
ejpam-3310	97	1	for	for	ADP
ejpam-3310	97	2	convenience	convenience	NOUN
ejpam-3310	97	3	,	,	PUNCT
ejpam-3310	97	4	we	we	PRON
ejpam-3310	97	5	shall	shall	AUX
ejpam-3310	97	6	denote	denote	VERB
ejpam-3310	97	7	(	(	PUNCT
ejpam-3310	97	8	ih	ih	NOUN
ejpam-3310	97	9	)	)	PUNCT
ejpam-3310	97	10	∫	∫	PROPN
ejpam-3310	97	11	0	0	NUM
ejpam-3310	97	12	0	0	NUM
ejpam-3310	98	1	ft	ft	NOUN
ejpam-3310	98	2	dwt	dwt	NOUN
ejpam-3310	98	3	by	by	ADP
ejpam-3310	98	4	the	the	DET
ejpam-3310	98	5	zero	zero	NUM
ejpam-3310	98	6	random	random	ADJ
ejpam-3310	98	7	variable	variable	NOUN
ejpam-3310	98	8	0	0	NUM
ejpam-3310	98	9	∈	∈	PROPN
ejpam-3310	98	10	l2(ω	l2(ω	PROPN
ejpam-3310	98	11	,	,	PUNCT
ejpam-3310	98	12	v	v	NOUN
ejpam-3310	98	13	)	)	PUNCT
ejpam-3310	98	14	.	.	PUNCT
ejpam-3310	99	1	example	example	NOUN
ejpam-3310	100	1	1	1	NUM
ejpam-3310	100	2	.	.	PUNCT
ejpam-3310	100	3	f	f	X
ejpam-3310	100	4	:	:	PUNCT
ejpam-3310	101	1	[	[	X
ejpam-3310	101	2	0	0	NUM
ejpam-3310	101	3	,	,	PUNCT
ejpam-3310	101	4	t	t	X
ejpam-3310	101	5	]	]	PUNCT
ejpam-3310	101	6	×ω→	×ω→	PROPN
ejpam-3310	101	7	l(u	l(u	PROPN
ejpam-3310	101	8	,	,	PUNCT
ejpam-3310	101	9	v	v	NOUN
ejpam-3310	101	10	)	)	PUNCT
ejpam-3310	101	11	be	be	AUX
ejpam-3310	101	12	an	an	DET
ejpam-3310	101	13	adapted	adapt	VERB
ejpam-3310	101	14	process	process	NOUN
ejpam-3310	101	15	such	such	ADJ
ejpam-3310	101	16	that	that	SCONJ
ejpam-3310	101	17	e	e	NOUN
ejpam-3310	101	18	[	[	PUNCT
ejpam-3310	101	19	‖ft‖2l2(uq	‖ft‖2l2(uq	NUM
ejpam-3310	101	20	,	,	PUNCT
ejpam-3310	101	21	v	v	NOUN
ejpam-3310	101	22	)	)	PUNCT
ejpam-3310	101	23	]	]	PUNCT
ejpam-3310	102	1	=	=	PUNCT
ejpam-3310	102	2	0	0	NUM
ejpam-3310	102	3	for	for	ADP
ejpam-3310	102	4	all	all	DET
ejpam-3310	102	5	t	t	NOUN
ejpam-3310	102	6	∈	∈	PROPN
ejpam-3310	103	1	[	[	X
ejpam-3310	103	2	0	0	NUM
ejpam-3310	103	3	,	,	PUNCT
ejpam-3310	103	4	t	t	X
ejpam-3310	103	5	]	]	PUNCT
ejpam-3310	103	6	except	except	SCONJ
ejpam-3310	103	7	on	on	ADP
ejpam-3310	103	8	a	a	DET
ejpam-3310	103	9	set	set	NOUN
ejpam-3310	103	10	of	of	ADP
ejpam-3310	103	11	lebesgue	lebesgue	ADJ
ejpam-3310	103	12	measure	measure	NOUN
ejpam-3310	103	13	zero	zero	NUM
ejpam-3310	103	14	.	.	PUNCT
ejpam-3310	104	1	then	then	ADV
ejpam-3310	104	2	f	f	PROPN
ejpam-3310	104	3	is	be	AUX
ejpam-3310	104	4	ih	ih	NOUN
ejpam-3310	104	5	-	-	PUNCT
ejpam-3310	104	6	integrable	integrable	ADJ
ejpam-3310	104	7	to	to	ADP
ejpam-3310	104	8	0	0	NUM
ejpam-3310	104	9	on	on	ADP
ejpam-3310	104	10	[	[	X
ejpam-3310	104	11	0	0	NUM
ejpam-3310	104	12	,	,	PUNCT
ejpam-3310	104	13	t	t	X
ejpam-3310	104	14	]	]	PUNCT
ejpam-3310	104	15	.	.	PUNCT
ejpam-3310	105	1	the	the	DET
ejpam-3310	105	2	following	follow	VERB
ejpam-3310	105	3	statements	statement	NOUN
ejpam-3310	105	4	show	show	VERB
ejpam-3310	105	5	that	that	SCONJ
ejpam-3310	105	6	the	the	DET
ejpam-3310	105	7	itô-henstock	itô-henstock	ADJ
ejpam-3310	105	8	integral	integral	ADJ
ejpam-3310	105	9	possesses	possesse	NOUN
ejpam-3310	105	10	the	the	DET
ejpam-3310	105	11	standard	standard	ADJ
ejpam-3310	105	12	properties	property	NOUN
ejpam-3310	105	13	of	of	ADP
ejpam-3310	105	14	an	an	DET
ejpam-3310	105	15	integral	integral	ADJ
ejpam-3310	105	16	.	.	PUNCT
ejpam-3310	106	1	refer	refer	VERB
ejpam-3310	106	2	to	to	ADP
ejpam-3310	106	3	[	[	X
ejpam-3310	106	4	8	8	NUM
ejpam-3310	106	5	]	]	PUNCT
ejpam-3310	106	6	for	for	ADP
ejpam-3310	106	7	the	the	DET
ejpam-3310	106	8	proofs	proof	NOUN
ejpam-3310	106	9	.	.	PUNCT
ejpam-3310	107	1	m.	m.	NOUN
ejpam-3310	107	2	labendia	labendia	PROPN
ejpam-3310	107	3	,	,	PUNCT
ejpam-3310	107	4	j.	j.	PROPN
ejpam-3310	107	5	arcede	arcede	PROPN
ejpam-3310	107	6	/	/	SYM
ejpam-3310	107	7	eur	eur	PROPN
ejpam-3310	107	8	.	.	PUNCT
ejpam-3310	108	1	j.	j.	PROPN
ejpam-3310	108	2	pure	pure	PROPN
ejpam-3310	108	3	appl	appl	PROPN
ejpam-3310	108	4	.	.	PROPN
ejpam-3310	108	5	math	math	PROPN
ejpam-3310	108	6	,	,	PUNCT
ejpam-3310	108	7	11	11	NUM
ejpam-3310	108	8	(	(	PUNCT
ejpam-3310	108	9	4	4	NUM
ejpam-3310	108	10	)	)	PUNCT
ejpam-3310	108	11	(	(	PUNCT
ejpam-3310	108	12	2018	2018	NUM
ejpam-3310	108	13	)	)	PUNCT
ejpam-3310	108	14	,	,	PUNCT
ejpam-3310	108	15	1003	1003	NUM
ejpam-3310	108	16	-	-	SYM
ejpam-3310	108	17	1013	1013	NUM
ejpam-3310	108	18	1007	1007	NUM
ejpam-3310	108	19	(	(	PUNCT
ejpam-3310	108	20	1	1	NUM
ejpam-3310	108	21	)	)	PUNCT
ejpam-3310	108	22	the	the	DET
ejpam-3310	108	23	itô-henstock	itô-henstock	PROPN
ejpam-3310	108	24	integral	integral	NOUN
ejpam-3310	108	25	is	be	AUX
ejpam-3310	108	26	uniquely	uniquely	ADV
ejpam-3310	108	27	determined	determine	VERB
ejpam-3310	108	28	,	,	PUNCT
ejpam-3310	108	29	in	in	ADP
ejpam-3310	108	30	the	the	DET
ejpam-3310	108	31	sense	sense	NOUN
ejpam-3310	108	32	that	that	SCONJ
ejpam-3310	108	33	if	if	SCONJ
ejpam-3310	108	34	a1	a1	NOUN
ejpam-3310	108	35	and	and	CCONJ
ejpam-3310	108	36	a2	a2	PROPN
ejpam-3310	108	37	are	be	AUX
ejpam-3310	108	38	two	two	NUM
ejpam-3310	108	39	itô-henstock	itô-henstock	NOUN
ejpam-3310	108	40	integrals	integral	NOUN
ejpam-3310	108	41	of	of	ADP
ejpam-3310	108	42	f	f	PROPN
ejpam-3310	108	43	in	in	ADP
ejpam-3310	108	44	definition	definition	NOUN
ejpam-3310	108	45	3	3	NUM
ejpam-3310	108	46	,	,	PUNCT
ejpam-3310	108	47	then	then	ADV
ejpam-3310	108	48	‖a1	‖a1	NOUN
ejpam-3310	108	49	−a2‖l2(ω	−a2‖l2(ω	PROPN
ejpam-3310	108	50	,	,	PUNCT
ejpam-3310	108	51	v	v	NOUN
ejpam-3310	108	52	)	)	PUNCT
ejpam-3310	108	53	=	=	SYM
ejpam-3310	109	1	0	0	X
ejpam-3310	109	2	.	.	PUNCT
ejpam-3310	110	1	(	(	PUNCT
ejpam-3310	110	2	2	2	X
ejpam-3310	110	3	)	)	PUNCT
ejpam-3310	110	4	let	let	VERB
ejpam-3310	110	5	α	α	PRON
ejpam-3310	110	6	∈	∈	PROPN
ejpam-3310	110	7	r.	r.	PROPN
ejpam-3310	110	8	if	if	SCONJ
ejpam-3310	110	9	f	f	PROPN
ejpam-3310	110	10	and	and	CCONJ
ejpam-3310	110	11	g	g	PROPN
ejpam-3310	110	12	are	be	AUX
ejpam-3310	110	13	ih	ih	NOUN
ejpam-3310	110	14	-	-	NOUN
ejpam-3310	110	15	integrable	integrable	ADJ
ejpam-3310	110	16	on	on	ADP
ejpam-3310	110	17	[	[	X
ejpam-3310	110	18	0	0	NUM
ejpam-3310	110	19	,	,	PUNCT
ejpam-3310	110	20	t	t	X
ejpam-3310	110	21	]	]	PUNCT
ejpam-3310	110	22	,	,	PUNCT
ejpam-3310	110	23	then	then	ADV
ejpam-3310	110	24	(	(	PUNCT
ejpam-3310	110	25	i	i	NOUN
ejpam-3310	110	26	)	)	PUNCT
ejpam-3310	110	27	f	f	PROPN
ejpam-3310	111	1	+	+	CCONJ
ejpam-3310	111	2	g	g	PROPN
ejpam-3310	111	3	is	be	AUX
ejpam-3310	111	4	ih	ih	NOUN
ejpam-3310	111	5	-	-	NOUN
ejpam-3310	111	6	integrable	integrable	ADJ
ejpam-3310	111	7	on	on	ADP
ejpam-3310	111	8	[	[	X
ejpam-3310	111	9	0	0	NUM
ejpam-3310	111	10	,	,	PUNCT
ejpam-3310	111	11	t	t	X
ejpam-3310	111	12	]	]	PUNCT
ejpam-3310	111	13	,	,	PUNCT
ejpam-3310	111	14	and	and	CCONJ
ejpam-3310	111	15	(	(	PUNCT
ejpam-3310	111	16	ih	ih	NOUN
ejpam-3310	111	17	)	)	PUNCT
ejpam-3310	111	18	∫	∫	PROPN
ejpam-3310	112	1	t	t	PROPN
ejpam-3310	112	2	0	0	NUM
ejpam-3310	113	1	(	(	PUNCT
ejpam-3310	113	2	f	f	PROPN
ejpam-3310	113	3	+	+	CCONJ
ejpam-3310	113	4	g	g	NOUN
ejpam-3310	113	5	)	)	PUNCT
ejpam-3310	113	6	dw	dw	NOUN
ejpam-3310	113	7	=	=	SYM
ejpam-3310	113	8	(	(	PUNCT
ejpam-3310	113	9	ih	ih	NOUN
ejpam-3310	113	10	)	)	PUNCT
ejpam-3310	114	1	∫	∫	PROPN
ejpam-3310	115	1	t	t	PROPN
ejpam-3310	115	2	0	0	NUM
ejpam-3310	115	3	f	f	PROPN
ejpam-3310	115	4	dw	dw	PROPN
ejpam-3310	115	5	+	+	CCONJ
ejpam-3310	115	6	(	(	PUNCT
ejpam-3310	115	7	ih	ih	NOUN
ejpam-3310	115	8	)	)	PUNCT
ejpam-3310	115	9	∫	∫	PROPN
ejpam-3310	116	1	t	t	NOUN
ejpam-3310	116	2	0	0	NUM
ejpam-3310	116	3	g	g	PROPN
ejpam-3310	116	4	dw	dw	NOUN
ejpam-3310	116	5	;	;	PUNCT
ejpam-3310	116	6	(	(	PUNCT
ejpam-3310	116	7	ii	ii	NOUN
ejpam-3310	116	8	)	)	PUNCT
ejpam-3310	116	9	αf	αf	VERB
ejpam-3310	116	10	is	be	AUX
ejpam-3310	116	11	ih	ih	NOUN
ejpam-3310	116	12	-	-	NOUN
ejpam-3310	116	13	integrable	integrable	ADJ
ejpam-3310	116	14	on	on	ADP
ejpam-3310	116	15	[	[	X
ejpam-3310	116	16	0	0	NUM
ejpam-3310	116	17	,	,	PUNCT
ejpam-3310	116	18	t	t	X
ejpam-3310	116	19	]	]	PUNCT
ejpam-3310	116	20	,	,	PUNCT
ejpam-3310	116	21	and	and	CCONJ
ejpam-3310	116	22	(	(	PUNCT
ejpam-3310	116	23	ih	ih	NOUN
ejpam-3310	116	24	)	)	PUNCT
ejpam-3310	116	25	∫	∫	PROPN
ejpam-3310	117	1	t	t	PROPN
ejpam-3310	117	2	0	0	NUM
ejpam-3310	117	3	(	(	PUNCT
ejpam-3310	117	4	αf	αf	NOUN
ejpam-3310	117	5	)	)	PUNCT
ejpam-3310	117	6	dw	dw	NOUN
ejpam-3310	117	7	=	=	SYM
ejpam-3310	117	8	α	α	PROPN
ejpam-3310	117	9	·	·	PUNCT
ejpam-3310	117	10	(	(	PUNCT
ejpam-3310	117	11	ih	ih	X
ejpam-3310	117	12	)	)	PUNCT
ejpam-3310	117	13	∫	∫	PROPN
ejpam-3310	118	1	t	t	PROPN
ejpam-3310	118	2	0	0	NUM
ejpam-3310	118	3	f	f	PROPN
ejpam-3310	118	4	dw	dw	PROPN
ejpam-3310	118	5	.	.	PROPN
ejpam-3310	119	1	(	(	PUNCT
ejpam-3310	119	2	3	3	X
ejpam-3310	119	3	)	)	PUNCT
ejpam-3310	119	4	if	if	SCONJ
ejpam-3310	119	5	f	f	X
ejpam-3310	119	6	:	:	PUNCT
ejpam-3310	120	1	[	[	X
ejpam-3310	120	2	0	0	NUM
ejpam-3310	120	3	,	,	PUNCT
ejpam-3310	120	4	t	t	X
ejpam-3310	120	5	]	]	PUNCT
ejpam-3310	120	6	×ω→	×ω→	PROPN
ejpam-3310	120	7	l(u	l(u	PROPN
ejpam-3310	120	8	,	,	PUNCT
ejpam-3310	120	9	v	v	NOUN
ejpam-3310	120	10	)	)	PUNCT
ejpam-3310	120	11	is	be	AUX
ejpam-3310	120	12	ih	ih	NOUN
ejpam-3310	120	13	-	-	NOUN
ejpam-3310	120	14	integrable	integrable	ADJ
ejpam-3310	120	15	on	on	ADP
ejpam-3310	120	16	[	[	X
ejpam-3310	120	17	0	0	NUM
ejpam-3310	120	18	,	,	PUNCT
ejpam-3310	120	19	c	c	NOUN
ejpam-3310	120	20	]	]	PUNCT
ejpam-3310	120	21	and	and	CCONJ
ejpam-3310	120	22	[	[	X
ejpam-3310	120	23	c	c	X
ejpam-3310	120	24	,	,	PUNCT
ejpam-3310	120	25	t	t	NOUN
ejpam-3310	120	26	]	]	PUNCT
ejpam-3310	120	27	where	where	SCONJ
ejpam-3310	120	28	c	c	PROPN
ejpam-3310	120	29	∈	∈	PROPN
ejpam-3310	120	30	(	(	PUNCT
ejpam-3310	120	31	0	0	NUM
ejpam-3310	120	32	,	,	PUNCT
ejpam-3310	120	33	t	t	NOUN
ejpam-3310	120	34	)	)	PUNCT
ejpam-3310	120	35	,	,	PUNCT
ejpam-3310	120	36	then	then	ADV
ejpam-3310	120	37	f	f	PROPN
ejpam-3310	120	38	is	be	AUX
ejpam-3310	120	39	ih	ih	NOUN
ejpam-3310	120	40	-	-	NOUN
ejpam-3310	120	41	integrable	integrable	ADJ
ejpam-3310	120	42	on	on	ADP
ejpam-3310	120	43	[	[	X
ejpam-3310	120	44	0	0	NUM
ejpam-3310	120	45	,	,	PUNCT
ejpam-3310	120	46	t	t	NOUN
ejpam-3310	120	47	]	]	PUNCT
ejpam-3310	120	48	and	and	CCONJ
ejpam-3310	120	49	(	(	PUNCT
ejpam-3310	120	50	ih	ih	NOUN
ejpam-3310	120	51	)	)	PUNCT
ejpam-3310	121	1	∫	∫	PROPN
ejpam-3310	122	1	t	t	PROPN
ejpam-3310	122	2	0	0	NUM
ejpam-3310	122	3	f	f	PROPN
ejpam-3310	122	4	dw	dw	PROPN
ejpam-3310	122	5	=	=	SYM
ejpam-3310	122	6	(	(	PUNCT
ejpam-3310	122	7	ih	ih	NOUN
ejpam-3310	122	8	)	)	PUNCT
ejpam-3310	122	9	∫	∫	PROPN
ejpam-3310	123	1	c	c	NOUN
ejpam-3310	123	2	0	0	NUM
ejpam-3310	123	3	f	f	PROPN
ejpam-3310	123	4	dw	dw	PROPN
ejpam-3310	123	5	+	+	CCONJ
ejpam-3310	123	6	(	(	PUNCT
ejpam-3310	123	7	ih	ih	NOUN
ejpam-3310	123	8	)	)	PUNCT
ejpam-3310	123	9	∫	∫	PROPN
ejpam-3310	124	1	t	t	PROPN
ejpam-3310	124	2	c	c	PROPN
ejpam-3310	124	3	f	f	PROPN
ejpam-3310	124	4	dw	dw	PROPN
ejpam-3310	124	5	.	.	PROPN
ejpam-3310	125	1	(	(	PUNCT
ejpam-3310	125	2	4	4	X
ejpam-3310	125	3	)	)	PUNCT
ejpam-3310	125	4	if	if	SCONJ
ejpam-3310	125	5	f	f	X
ejpam-3310	125	6	:	:	PUNCT
ejpam-3310	126	1	[	[	X
ejpam-3310	126	2	0	0	NUM
ejpam-3310	126	3	,	,	PUNCT
ejpam-3310	126	4	t	t	X
ejpam-3310	126	5	]	]	PUNCT
ejpam-3310	126	6	×	×	PROPN
ejpam-3310	126	7	ω	ω	PROPN
ejpam-3310	126	8	→	→	SYM
ejpam-3310	126	9	l(u	l(u	PROPN
ejpam-3310	126	10	,	,	PUNCT
ejpam-3310	126	11	v	v	NOUN
ejpam-3310	126	12	)	)	PUNCT
ejpam-3310	126	13	is	be	AUX
ejpam-3310	126	14	ih	ih	NOUN
ejpam-3310	126	15	-	-	NOUN
ejpam-3310	126	16	integrable	integrable	ADJ
ejpam-3310	126	17	on	on	ADP
ejpam-3310	126	18	[	[	X
ejpam-3310	126	19	0	0	NUM
ejpam-3310	126	20	,	,	PUNCT
ejpam-3310	126	21	t	t	X
ejpam-3310	126	22	]	]	PUNCT
ejpam-3310	126	23	,	,	PUNCT
ejpam-3310	126	24	then	then	ADV
ejpam-3310	126	25	f	f	PROPN
ejpam-3310	126	26	is	be	AUX
ejpam-3310	126	27	also	also	ADV
ejpam-3310	126	28	ih	ih	NOUN
ejpam-3310	126	29	-	-	PUNCT
ejpam-3310	126	30	integrable	integrable	ADJ
ejpam-3310	126	31	on	on	ADP
ejpam-3310	126	32	every	every	DET
ejpam-3310	126	33	subinteval	subinteval	NOUN
ejpam-3310	127	1	[	[	X
ejpam-3310	127	2	c	c	X
ejpam-3310	127	3	,	,	PUNCT
ejpam-3310	127	4	d	d	X
ejpam-3310	127	5	]	]	X
ejpam-3310	127	6	of	of	ADP
ejpam-3310	127	7	[	[	X
ejpam-3310	127	8	0	0	NUM
ejpam-3310	127	9	,	,	PUNCT
ejpam-3310	127	10	t	t	X
ejpam-3310	127	11	]	]	PUNCT
ejpam-3310	127	12	.	.	PUNCT
ejpam-3310	128	1	(	(	PUNCT
ejpam-3310	128	2	5	5	X
ejpam-3310	128	3	)	)	PUNCT
ejpam-3310	128	4	a	a	DET
ejpam-3310	128	5	process	process	NOUN
ejpam-3310	128	6	f	f	NOUN
ejpam-3310	129	1	:	:	PUNCT
ejpam-3310	129	2	[	[	X
ejpam-3310	129	3	0	0	NUM
ejpam-3310	129	4	,	,	PUNCT
ejpam-3310	129	5	t	t	X
ejpam-3310	129	6	]	]	PUNCT
ejpam-3310	129	7	×	×	PROPN
ejpam-3310	129	8	ω	ω	PROPN
ejpam-3310	129	9	→	→	SYM
ejpam-3310	129	10	l(u	l(u	PROPN
ejpam-3310	129	11	,	,	PUNCT
ejpam-3310	129	12	v	v	NOUN
ejpam-3310	129	13	)	)	PUNCT
ejpam-3310	129	14	is	be	AUX
ejpam-3310	129	15	ih	ih	NOUN
ejpam-3310	129	16	-	-	NOUN
ejpam-3310	129	17	integrable	integrable	ADJ
ejpam-3310	129	18	on	on	ADP
ejpam-3310	129	19	[	[	X
ejpam-3310	129	20	0	0	NUM
ejpam-3310	129	21	,	,	PUNCT
ejpam-3310	129	22	t	t	X
ejpam-3310	129	23	]	]	PUNCT
ejpam-3310	129	24	if	if	SCONJ
ejpam-3310	129	25	and	and	CCONJ
ejpam-3310	129	26	only	only	ADV
ejpam-3310	129	27	if	if	SCONJ
ejpam-3310	129	28	there	there	PRON
ejpam-3310	129	29	exist	exist	VERB
ejpam-3310	129	30	a	a	DET
ejpam-3310	129	31	∈	∈	PROPN
ejpam-3310	129	32	l2(ω	l2(ω	PROPN
ejpam-3310	129	33	,	,	PUNCT
ejpam-3310	129	34	v	v	NOUN
ejpam-3310	129	35	)	)	PUNCT
ejpam-3310	129	36	,	,	PUNCT
ejpam-3310	129	37	a	a	DET
ejpam-3310	129	38	decreasing	decrease	VERB
ejpam-3310	129	39	sequence	sequence	NOUN
ejpam-3310	129	40	{	{	PUNCT
ejpam-3310	129	41	δn	δn	NOUN
ejpam-3310	129	42	}	}	PUNCT
ejpam-3310	129	43	of	of	ADP
ejpam-3310	129	44	positive	positive	ADJ
ejpam-3310	129	45	functions	function	NOUN
ejpam-3310	129	46	defined	define	VERB
ejpam-3310	129	47	on	on	ADP
ejpam-3310	129	48	[	[	X
ejpam-3310	129	49	0	0	NUM
ejpam-3310	129	50	,	,	PUNCT
ejpam-3310	129	51	t	t	X
ejpam-3310	129	52	]	]	PUNCT
ejpam-3310	129	53	,	,	PUNCT
ejpam-3310	129	54	and	and	CCONJ
ejpam-3310	129	55	a	a	DET
ejpam-3310	129	56	decreasing	decrease	VERB
ejpam-3310	129	57	sequence	sequence	NOUN
ejpam-3310	129	58	of	of	ADP
ejpam-3310	129	59	positive	positive	ADJ
ejpam-3310	129	60	numbers	number	NOUN
ejpam-3310	129	61	{	{	PUNCT
ejpam-3310	129	62	ηn	ηn	ADJ
ejpam-3310	129	63	}	}	PUNCT
ejpam-3310	129	64	such	such	ADJ
ejpam-3310	129	65	that	that	SCONJ
ejpam-3310	129	66	for	for	ADP
ejpam-3310	129	67	any	any	DET
ejpam-3310	129	68	(	(	PUNCT
ejpam-3310	129	69	δn	δn	NOUN
ejpam-3310	129	70	,	,	PUNCT
ejpam-3310	129	71	ηn)-fine	ηn)-fine	PROPN
ejpam-3310	129	72	belated	belate	VERB
ejpam-3310	129	73	partial	partial	ADJ
ejpam-3310	129	74	division	division	NOUN
ejpam-3310	129	75	dn	dn	NOUN
ejpam-3310	129	76	of	of	ADP
ejpam-3310	129	77	[	[	X
ejpam-3310	129	78	0	0	NUM
ejpam-3310	129	79	,	,	PUNCT
ejpam-3310	129	80	t	t	X
ejpam-3310	129	81	]	]	PUNCT
ejpam-3310	129	82	,	,	PUNCT
ejpam-3310	129	83	we	we	PRON
ejpam-3310	129	84	have	have	VERB
ejpam-3310	129	85	lim	lim	PROPN
ejpam-3310	129	86	n→∞	n→∞	NUM
ejpam-3310	129	87	e	e	X
ejpam-3310	129	88	[	[	PUNCT
ejpam-3310	129	89	‖s(f	‖s(f	ADJ
ejpam-3310	129	90	,	,	PUNCT
ejpam-3310	129	91	dn	dn	NOUN
ejpam-3310	129	92	,	,	PUNCT
ejpam-3310	129	93	δn	δn	NOUN
ejpam-3310	129	94	,	,	PUNCT
ejpam-3310	129	95	ηn)−a‖2v	ηn)−a‖2v	PROPN
ejpam-3310	129	96	]	]	PUNCT
ejpam-3310	130	1	=	=	PUNCT
ejpam-3310	130	2	0	0	X
ejpam-3310	130	3	.	.	PUNCT
ejpam-3310	131	1	in	in	ADP
ejpam-3310	131	2	this	this	DET
ejpam-3310	131	3	case	case	NOUN
ejpam-3310	131	4	,	,	PUNCT
ejpam-3310	131	5	a	a	DET
ejpam-3310	131	6	=	=	X
ejpam-3310	131	7	(	(	PUNCT
ejpam-3310	131	8	ih	ih	NOUN
ejpam-3310	131	9	)	)	PUNCT
ejpam-3310	131	10	∫	∫	PROPN
ejpam-3310	131	11	t	t	PROPN
ejpam-3310	131	12	0	0	NUM
ejpam-3310	131	13	ft	ft	NOUN
ejpam-3310	131	14	dwt	dwt	PROPN
ejpam-3310	131	15	.	.	PUNCT
ejpam-3310	132	1	(	(	PUNCT
ejpam-3310	132	2	6	6	NUM
ejpam-3310	132	3	)	)	PUNCT
ejpam-3310	132	4	(	(	PUNCT
ejpam-3310	132	5	cauchy	cauchy	NOUN
ejpam-3310	132	6	criterion	criterion	NOUN
ejpam-3310	132	7	)	)	PUNCT
ejpam-3310	132	8	.	.	PUNCT
ejpam-3310	133	1	a	a	DET
ejpam-3310	133	2	process	process	NOUN
ejpam-3310	133	3	f	f	X
ejpam-3310	133	4	:	:	PUNCT
ejpam-3310	134	1	[	[	X
ejpam-3310	134	2	0	0	NUM
ejpam-3310	134	3	,	,	PUNCT
ejpam-3310	134	4	t	t	X
ejpam-3310	134	5	]	]	X
ejpam-3310	134	6	×	×	PROPN
ejpam-3310	134	7	ω→	ω→	SYM
ejpam-3310	134	8	l(u	l(u	PROPN
ejpam-3310	134	9	,	,	PUNCT
ejpam-3310	134	10	v	v	NOUN
ejpam-3310	134	11	)	)	PUNCT
ejpam-3310	134	12	is	be	AUX
ejpam-3310	134	13	ih	ih	NOUN
ejpam-3310	134	14	-	-	NOUN
ejpam-3310	134	15	integrable	integrable	ADJ
ejpam-3310	134	16	on	on	ADP
ejpam-3310	134	17	[	[	X
ejpam-3310	134	18	0	0	NUM
ejpam-3310	134	19	,	,	PUNCT
ejpam-3310	134	20	t	t	X
ejpam-3310	134	21	]	]	PUNCT
ejpam-3310	134	22	if	if	SCONJ
ejpam-3310	134	23	and	and	CCONJ
ejpam-3310	134	24	only	only	ADV
ejpam-3310	134	25	if	if	SCONJ
ejpam-3310	134	26	for	for	ADP
ejpam-3310	134	27	every	every	DET
ejpam-3310	134	28	ε	ε	PROPN
ejpam-3310	134	29	>	>	X
ejpam-3310	134	30	0	0	PROPN
ejpam-3310	134	31	,	,	PUNCT
ejpam-3310	134	32	there	there	PRON
ejpam-3310	134	33	exist	exist	VERB
ejpam-3310	134	34	a	a	DET
ejpam-3310	134	35	positive	positive	ADJ
ejpam-3310	134	36	function	function	NOUN
ejpam-3310	134	37	δ	δ	PROPN
ejpam-3310	134	38	on	on	ADP
ejpam-3310	134	39	[	[	X
ejpam-3310	134	40	0	0	NUM
ejpam-3310	134	41	,	,	PUNCT
ejpam-3310	134	42	t	t	NOUN
ejpam-3310	134	43	]	]	PUNCT
ejpam-3310	134	44	and	and	CCONJ
ejpam-3310	134	45	a	a	DET
ejpam-3310	134	46	positive	positive	ADJ
ejpam-3310	134	47	number	number	NOUN
ejpam-3310	134	48	η	η	NOUN
ejpam-3310	134	49	such	such	ADJ
ejpam-3310	134	50	that	that	PRON
ejpam-3310	134	51	for	for	ADP
ejpam-3310	134	52	any	any	DET
ejpam-3310	134	53	two	two	NUM
ejpam-3310	134	54	(	(	PUNCT
ejpam-3310	134	55	δ	δ	PROPN
ejpam-3310	134	56	,	,	PUNCT
ejpam-3310	134	57	η)-fine	η)-fine	NOUN
ejpam-3310	134	58	belated	belate	VERB
ejpam-3310	134	59	partial	partial	ADJ
ejpam-3310	134	60	divisions	division	NOUN
ejpam-3310	134	61	d	d	NOUN
ejpam-3310	134	62	and	and	CCONJ
ejpam-3310	134	63	d′	d′	NUM
ejpam-3310	134	64	of	of	ADP
ejpam-3310	134	65	[	[	X
ejpam-3310	134	66	0	0	NUM
ejpam-3310	134	67	,	,	PUNCT
ejpam-3310	134	68	t	t	X
ejpam-3310	134	69	]	]	PUNCT
ejpam-3310	134	70	,	,	PUNCT
ejpam-3310	134	71	we	we	PRON
ejpam-3310	134	72	have	have	VERB
ejpam-3310	134	73	e	e	NOUN
ejpam-3310	134	74	[	[	X
ejpam-3310	134	75	∥∥s(f	∥∥s(f	X
ejpam-3310	134	76	,	,	PUNCT
ejpam-3310	134	77	d	d	NOUN
ejpam-3310	134	78	,	,	PUNCT
ejpam-3310	134	79	δ	δ	PROPN
ejpam-3310	134	80	,	,	PUNCT
ejpam-3310	134	81	η)−	η)−	PROPN
ejpam-3310	134	82	s(f	s(f	PROPN
ejpam-3310	134	83	,	,	PUNCT
ejpam-3310	134	84	d′	d′	X
ejpam-3310	134	85	,	,	PUNCT
ejpam-3310	134	86	δ	δ	PROPN
ejpam-3310	134	87	,	,	PUNCT
ejpam-3310	134	88	η	η	PROPN
ejpam-3310	134	89	)	)	PUNCT
ejpam-3310	134	90	∥∥2	∥∥2	PROPN
ejpam-3310	135	1	v	v	ADP
ejpam-3310	135	2	]	]	PUNCT
ejpam-3310	135	3	<	<	X
ejpam-3310	135	4	ε	ε	PROPN
ejpam-3310	135	5	.	.	PUNCT
ejpam-3310	135	6	(	(	PUNCT
ejpam-3310	135	7	7	7	NUM
ejpam-3310	135	8	)	)	PUNCT
ejpam-3310	135	9	(	(	PUNCT
ejpam-3310	135	10	weak	weak	ADJ
ejpam-3310	135	11	version	version	NOUN
ejpam-3310	135	12	of	of	ADP
ejpam-3310	135	13	saks	sak	NOUN
ejpam-3310	135	14	-	-	PUNCT
ejpam-3310	135	15	henstock	henstock	NOUN
ejpam-3310	135	16	lemma	lemma	PROPN
ejpam-3310	135	17	)	)	PUNCT
ejpam-3310	135	18	.	.	PUNCT
ejpam-3310	136	1	let	let	VERB
ejpam-3310	136	2	f	f	PRON
ejpam-3310	136	3	be	be	AUX
ejpam-3310	136	4	ih	ih	NOUN
ejpam-3310	136	5	-	-	NOUN
ejpam-3310	136	6	integrable	integrable	ADJ
ejpam-3310	136	7	on	on	ADP
ejpam-3310	136	8	[	[	X
ejpam-3310	136	9	0	0	NUM
ejpam-3310	136	10	,	,	PUNCT
ejpam-3310	136	11	t	t	NOUN
ejpam-3310	136	12	]	]	PUNCT
ejpam-3310	136	13	and	and	CCONJ
ejpam-3310	136	14	f	f	PROPN
ejpam-3310	136	15	(	(	PUNCT
ejpam-3310	136	16	u	u	NOUN
ejpam-3310	136	17	,	,	PUNCT
ejpam-3310	136	18	v	v	NOUN
ejpam-3310	136	19	]	]	PUNCT
ejpam-3310	136	20	:	:	PUNCT
ejpam-3310	136	21	=	=	SYM
ejpam-3310	136	22	(	(	PUNCT
ejpam-3310	136	23	ih	ih	NOUN
ejpam-3310	136	24	)	)	PUNCT
ejpam-3310	136	25	∫	∫	PROPN
ejpam-3310	136	26	v	v	NUM
ejpam-3310	136	27	u	u	PROPN
ejpam-3310	136	28	ft	ft	NOUN
ejpam-3310	136	29	dwt	dwt	NOUN
ejpam-3310	136	30	for	for	ADP
ejpam-3310	136	31	any	any	DET
ejpam-3310	136	32	(	(	PUNCT
ejpam-3310	136	33	u	u	NOUN
ejpam-3310	136	34	,	,	PUNCT
ejpam-3310	136	35	v	v	ADP
ejpam-3310	136	36	]	]	X
ejpam-3310	136	37	⊂	⊂	PROPN
ejpam-3310	137	1	[	[	X
ejpam-3310	137	2	0	0	NUM
ejpam-3310	137	3	,	,	PUNCT
ejpam-3310	137	4	t	t	X
ejpam-3310	137	5	]	]	PUNCT
ejpam-3310	137	6	.	.	PUNCT
ejpam-3310	138	1	then	then	ADV
ejpam-3310	138	2	for	for	ADP
ejpam-3310	138	3	every	every	DET
ejpam-3310	138	4	ε	ε	PROPN
ejpam-3310	138	5	>	>	X
ejpam-3310	138	6	0	0	PROPN
ejpam-3310	138	7	,	,	PUNCT
ejpam-3310	138	8	there	there	PRON
ejpam-3310	138	9	exist	exist	VERB
ejpam-3310	138	10	a	a	DET
ejpam-3310	138	11	positive	positive	ADJ
ejpam-3310	138	12	function	function	NOUN
ejpam-3310	138	13	δ	δ	PROPN
ejpam-3310	138	14	on	on	ADP
ejpam-3310	138	15	[	[	X
ejpam-3310	138	16	0	0	NUM
ejpam-3310	138	17	,	,	PUNCT
ejpam-3310	138	18	t	t	X
ejpam-3310	138	19	]	]	PUNCT
ejpam-3310	138	20	such	such	ADJ
ejpam-3310	138	21	that	that	PRON
ejpam-3310	138	22	for	for	ADP
ejpam-3310	138	23	any	any	DET
ejpam-3310	138	24	δ	δ	NOUN
ejpam-3310	138	25	-	-	PUNCT
ejpam-3310	138	26	fine	fine	NOUN
ejpam-3310	138	27	belated	belate	VERB
ejpam-3310	138	28	partial	partial	ADJ
ejpam-3310	138	29	division	division	NOUN
ejpam-3310	138	30	d	d	NOUN
ejpam-3310	138	31	=	=	PRON
ejpam-3310	138	32	{	{	PUNCT
ejpam-3310	138	33	(	(	PUNCT
ejpam-3310	138	34	(	(	PUNCT
ejpam-3310	138	35	ξ	ξ	X
ejpam-3310	138	36	,	,	PUNCT
ejpam-3310	138	37	v	v	NOUN
ejpam-3310	138	38	]	]	X
ejpam-3310	138	39	,	,	PUNCT
ejpam-3310	138	40	ξ	ξ	X
ejpam-3310	138	41	)	)	PUNCT
ejpam-3310	138	42	}	}	PUNCT
ejpam-3310	138	43	of	of	ADP
ejpam-3310	138	44	[	[	X
ejpam-3310	138	45	0	0	NUM
ejpam-3310	138	46	,	,	PUNCT
ejpam-3310	138	47	t	t	X
ejpam-3310	138	48	]	]	PUNCT
ejpam-3310	138	49	,	,	PUNCT
ejpam-3310	138	50	we	we	PRON
ejpam-3310	138	51	have	have	VERB
ejpam-3310	138	52	e	e	NOUN
ejpam-3310	138	53	[	[	X
ejpam-3310	138	54	∥∥∥(d	∥∥∥(d	X
ejpam-3310	138	55	)	)	PUNCT
ejpam-3310	138	56	∑	∑	PRON
ejpam-3310	138	57	{	{	PUNCT
ejpam-3310	138	58	fξ(wv	fξ(wv	NOUN
ejpam-3310	138	59	−wξ)−	−wξ)−	PROPN
ejpam-3310	138	60	f	f	X
ejpam-3310	138	61	(	(	PUNCT
ejpam-3310	138	62	ξ	ξ	PROPN
ejpam-3310	138	63	,	,	PUNCT
ejpam-3310	138	64	v	v	NOUN
ejpam-3310	138	65	]	]	X
ejpam-3310	138	66	}	}	PUNCT
ejpam-3310	138	67	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	138	68	v	v	ADP
ejpam-3310	138	69	]	]	PUNCT
ejpam-3310	138	70	<	<	X
ejpam-3310	138	71	ε	ε	PROPN
ejpam-3310	138	72	.	.	PROPN
ejpam-3310	138	73	m.	m.	PROPN
ejpam-3310	138	74	labendia	labendia	PROPN
ejpam-3310	138	75	,	,	PUNCT
ejpam-3310	138	76	j.	j.	PROPN
ejpam-3310	138	77	arcede	arcede	PROPN
ejpam-3310	138	78	/	/	SYM
ejpam-3310	138	79	eur	eur	PROPN
ejpam-3310	138	80	.	.	PUNCT
ejpam-3310	139	1	j.	j.	PROPN
ejpam-3310	139	2	pure	pure	PROPN
ejpam-3310	139	3	appl	appl	PROPN
ejpam-3310	139	4	.	.	PROPN
ejpam-3310	139	5	math	math	PROPN
ejpam-3310	139	6	,	,	PUNCT
ejpam-3310	139	7	11	11	NUM
ejpam-3310	139	8	(	(	PUNCT
ejpam-3310	139	9	4	4	NUM
ejpam-3310	139	10	)	)	PUNCT
ejpam-3310	139	11	(	(	PUNCT
ejpam-3310	139	12	2018	2018	NUM
ejpam-3310	139	13	)	)	PUNCT
ejpam-3310	139	14	,	,	PUNCT
ejpam-3310	139	15	1003	1003	NUM
ejpam-3310	139	16	-	-	SYM
ejpam-3310	139	17	1013	1013	NUM
ejpam-3310	139	18	1008	1008	NUM
ejpam-3310	139	19	(	(	PUNCT
ejpam-3310	139	20	8)	8)	NUM
ejpam-3310	139	21	(	(	PUNCT
ejpam-3310	139	22	itô	itô	PROPN
ejpam-3310	139	23	isometry	isometry	PROPN
ejpam-3310	139	24	)	)	PUNCT
ejpam-3310	139	25	.	.	PUNCT
ejpam-3310	140	1	let	let	VERB
ejpam-3310	140	2	f	f	PRON
ejpam-3310	140	3	be	be	AUX
ejpam-3310	140	4	ih	ih	NOUN
ejpam-3310	140	5	-	-	NOUN
ejpam-3310	140	6	integrable	integrable	ADJ
ejpam-3310	140	7	on	on	ADP
ejpam-3310	140	8	[	[	X
ejpam-3310	140	9	0	0	NUM
ejpam-3310	140	10	,	,	PUNCT
ejpam-3310	140	11	t	t	X
ejpam-3310	140	12	]	]	PUNCT
ejpam-3310	140	13	.	.	PUNCT
ejpam-3310	141	1	then	then	ADV
ejpam-3310	141	2	e	e	X
ejpam-3310	141	3	[	[	PUNCT
ejpam-3310	141	4	‖ft‖2l2(uq	‖ft‖2l2(uq	NUM
ejpam-3310	141	5	,	,	PUNCT
ejpam-3310	141	6	v	v	NOUN
ejpam-3310	141	7	)	)	PUNCT
ejpam-3310	141	8	]	]	PUNCT
ejpam-3310	141	9	is	be	AUX
ejpam-3310	141	10	lebesgue	lebesgue	NOUN
ejpam-3310	141	11	integrable	integrable	ADJ
ejpam-3310	141	12	on	on	ADP
ejpam-3310	141	13	[	[	X
ejpam-3310	141	14	0	0	NUM
ejpam-3310	141	15	,	,	PUNCT
ejpam-3310	141	16	t	t	NOUN
ejpam-3310	141	17	]	]	PUNCT
ejpam-3310	141	18	and	and	CCONJ
ejpam-3310	141	19	e	e	X
ejpam-3310	141	20	[	[	X
ejpam-3310	141	21	∥∥∥∥(ih	∥∥∥∥(ih	PROPN
ejpam-3310	141	22	)	)	PUNCT
ejpam-3310	141	23	∫	∫	PROPN
ejpam-3310	142	1	t	t	PROPN
ejpam-3310	142	2	0	0	NUM
ejpam-3310	142	3	ft	ft	NOUN
ejpam-3310	142	4	dwt	dwt	NOUN
ejpam-3310	142	5	∥∥∥∥2	∥∥∥∥2	NOUN
ejpam-3310	142	6	v	v	ADP
ejpam-3310	142	7	]	]	X
ejpam-3310	142	8	=	=	SYM
ejpam-3310	142	9	(	(	PUNCT
ejpam-3310	142	10	l	l	NOUN
ejpam-3310	142	11	)	)	PUNCT
ejpam-3310	142	12	∫	∫	PROPN
ejpam-3310	143	1	t	t	NOUN
ejpam-3310	143	2	0	0	NUM
ejpam-3310	143	3	e	e	X
ejpam-3310	143	4	[	[	PUNCT
ejpam-3310	143	5	‖ft‖2l2(uq	‖ft‖2l2(uq	NUM
ejpam-3310	143	6	,	,	PUNCT
ejpam-3310	143	7	v	v	NOUN
ejpam-3310	143	8	)	)	PUNCT
ejpam-3310	143	9	]	]	PUNCT
ejpam-3310	143	10	dt	dt	X
ejpam-3310	144	1	<	<	X
ejpam-3310	144	2	∞.	∞.	PROPN
ejpam-3310	144	3	in	in	ADP
ejpam-3310	144	4	[	[	X
ejpam-3310	144	5	6	6	NUM
ejpam-3310	144	6	]	]	PUNCT
ejpam-3310	144	7	,	,	PUNCT
ejpam-3310	144	8	the	the	DET
ejpam-3310	144	9	itô-henstock	itô-henstock	PROPN
ejpam-3310	144	10	integral	integral	NOUN
ejpam-3310	144	11	has	have	AUX
ejpam-3310	144	12	been	be	AUX
ejpam-3310	144	13	characterized	characterize	VERB
ejpam-3310	144	14	using	use	VERB
ejpam-3310	144	15	ac2[0	ac2[0	ADJ
ejpam-3310	144	16	,	,	PUNCT
ejpam-3310	144	17	t	t	PROPN
ejpam-3310	144	18	]	]	PUNCT
ejpam-3310	144	19	-property	-property	PROPN
ejpam-3310	144	20	,	,	PUNCT
ejpam-3310	144	21	a	a	DET
ejpam-3310	144	22	version	version	NOUN
ejpam-3310	144	23	of	of	ADP
ejpam-3310	144	24	absolute	absolute	ADJ
ejpam-3310	144	25	continuity	continuity	NOUN
ejpam-3310	144	26	.	.	PUNCT
ejpam-3310	145	1	throughout	throughout	ADP
ejpam-3310	145	2	the	the	DET
ejpam-3310	145	3	following	following	NOUN
ejpam-3310	145	4	,	,	PUNCT
ejpam-3310	145	5	denote	denote	VERB
ejpam-3310	145	6	by	by	ADP
ejpam-3310	145	7	j	j	PROPN
ejpam-3310	145	8	,	,	PUNCT
ejpam-3310	145	9	the	the	DET
ejpam-3310	145	10	collection	collection	NOUN
ejpam-3310	145	11	of	of	ADP
ejpam-3310	145	12	all	all	DET
ejpam-3310	145	13	closed	closed	ADJ
ejpam-3310	145	14	intervals	interval	NOUN
ejpam-3310	145	15	(	(	PUNCT
ejpam-3310	145	16	u	u	NOUN
ejpam-3310	145	17	,	,	PUNCT
ejpam-3310	145	18	v	v	ADP
ejpam-3310	145	19	]	]	X
ejpam-3310	145	20	⊂	⊂	PROPN
ejpam-3310	146	1	[	[	X
ejpam-3310	146	2	0	0	NUM
ejpam-3310	146	3	,	,	PUNCT
ejpam-3310	146	4	t	t	X
ejpam-3310	146	5	]	]	PUNCT
ejpam-3310	146	6	.	.	PUNCT
ejpam-3310	147	1	in	in	ADP
ejpam-3310	147	2	the	the	DET
ejpam-3310	147	3	following	follow	VERB
ejpam-3310	147	4	definition	definition	NOUN
ejpam-3310	147	5	,	,	PUNCT
ejpam-3310	147	6	when	when	SCONJ
ejpam-3310	147	7	no	no	DET
ejpam-3310	147	8	confusion	confusion	NOUN
ejpam-3310	147	9	arises	arise	VERB
ejpam-3310	147	10	,	,	PUNCT
ejpam-3310	147	11	we	we	PRON
ejpam-3310	147	12	may	may	AUX
ejpam-3310	147	13	refer	refer	VERB
ejpam-3310	147	14	to	to	ADP
ejpam-3310	147	15	f	f	PROPN
ejpam-3310	147	16	(	(	PUNCT
ejpam-3310	147	17	(	(	PUNCT
ejpam-3310	147	18	u	u	NOUN
ejpam-3310	147	19	,	,	PUNCT
ejpam-3310	147	20	v	v	ADP
ejpam-3310	147	21	]	]	X
ejpam-3310	147	22	,	,	PUNCT
ejpam-3310	147	23	·	·	PUNCT
ejpam-3310	147	24	)	)	PUNCT
ejpam-3310	147	25	or	or	CCONJ
ejpam-3310	147	26	f	f	X
ejpam-3310	147	27	(	(	PUNCT
ejpam-3310	147	28	(	(	PUNCT
ejpam-3310	147	29	u	u	NOUN
ejpam-3310	147	30	,	,	PUNCT
ejpam-3310	147	31	v	v	ADP
ejpam-3310	147	32	]	]	X
ejpam-3310	147	33	,	,	PUNCT
ejpam-3310	147	34	ω	ω	NOUN
ejpam-3310	147	35	)	)	PUNCT
ejpam-3310	147	36	as	as	ADP
ejpam-3310	147	37	simply	simply	ADV
ejpam-3310	147	38	f	f	PROPN
ejpam-3310	147	39	(	(	PUNCT
ejpam-3310	147	40	u	u	NOUN
ejpam-3310	147	41	,	,	PUNCT
ejpam-3310	147	42	v	v	NOUN
ejpam-3310	147	43	]	]	PUNCT
ejpam-3310	147	44	.	.	PUNCT
ejpam-3310	148	1	definition	definition	NOUN
ejpam-3310	148	2	4	4	NUM
ejpam-3310	148	3	.	.	PUNCT
ejpam-3310	149	1	a	a	DET
ejpam-3310	149	2	function	function	NOUN
ejpam-3310	149	3	f	f	NOUN
ejpam-3310	149	4	:	:	PUNCT
ejpam-3310	149	5	j	j	PROPN
ejpam-3310	149	6	×ω→	×ω→	PROPN
ejpam-3310	149	7	v	v	NOUN
ejpam-3310	149	8	is	be	AUX
ejpam-3310	149	9	said	say	VERB
ejpam-3310	149	10	to	to	PART
ejpam-3310	149	11	be	be	AUX
ejpam-3310	149	12	ac2[0	ac2[0	ADJ
ejpam-3310	149	13	,	,	PUNCT
ejpam-3310	149	14	t	t	X
ejpam-3310	149	15	]	]	PUNCT
ejpam-3310	149	16	if	if	SCONJ
ejpam-3310	149	17	for	for	ADP
ejpam-3310	149	18	every	every	DET
ejpam-3310	149	19	ε	ε	PROPN
ejpam-3310	149	20	>	>	X
ejpam-3310	149	21	0	0	PROPN
ejpam-3310	149	22	,	,	PUNCT
ejpam-3310	149	23	there	there	PRON
ejpam-3310	149	24	exists	exist	VERB
ejpam-3310	149	25	η	η	PROPN
ejpam-3310	149	26	>	>	X
ejpam-3310	149	27	0	0	NUM
ejpam-3310	149	28	such	such	ADJ
ejpam-3310	149	29	that	that	PRON
ejpam-3310	149	30	for	for	ADP
ejpam-3310	149	31	any	any	DET
ejpam-3310	149	32	finite	finite	ADJ
ejpam-3310	149	33	collection	collection	NOUN
ejpam-3310	149	34	d	d	NOUN
ejpam-3310	149	35	=	=	SYM
ejpam-3310	149	36	{	{	PUNCT
ejpam-3310	149	37	(	(	PUNCT
ejpam-3310	149	38	ξ	ξ	PROPN
ejpam-3310	149	39	,	,	PUNCT
ejpam-3310	149	40	v	v	NOUN
ejpam-3310	149	41	]	]	X
ejpam-3310	149	42	}	}	PUNCT
ejpam-3310	149	43	of	of	ADP
ejpam-3310	149	44	non	non	ADJ
ejpam-3310	149	45	-	-	ADJ
ejpam-3310	149	46	overlapping	overlapping	ADJ
ejpam-3310	149	47	subintervals	subinterval	NOUN
ejpam-3310	149	48	of	of	ADP
ejpam-3310	149	49	[	[	X
ejpam-3310	149	50	0	0	NUM
ejpam-3310	149	51	,	,	PUNCT
ejpam-3310	149	52	t	t	X
ejpam-3310	149	53	]	]	PUNCT
ejpam-3310	149	54	with	with	ADP
ejpam-3310	149	55	(	(	PUNCT
ejpam-3310	149	56	d	d	NOUN
ejpam-3310	149	57	)	)	PUNCT
ejpam-3310	149	58	∑	∑	PUNCT
ejpam-3310	149	59	(	(	PUNCT
ejpam-3310	149	60	v	v	ADP
ejpam-3310	149	61	−	−	PROPN
ejpam-3310	149	62	ξ	ξ	NOUN
ejpam-3310	149	63	)	)	PUNCT
ejpam-3310	149	64	<	<	X
ejpam-3310	149	65	η	η	PROPN
ejpam-3310	149	66	,	,	PUNCT
ejpam-3310	149	67	we	we	PRON
ejpam-3310	149	68	have	have	VERB
ejpam-3310	149	69	e	e	NOUN
ejpam-3310	149	70	[	[	X
ejpam-3310	149	71	∥∥∥(d	∥∥∥(d	X
ejpam-3310	149	72	)	)	PUNCT
ejpam-3310	150	1	∑	∑	ADP
ejpam-3310	150	2	f	f	PROPN
ejpam-3310	150	3	(	(	PUNCT
ejpam-3310	150	4	ξ	ξ	PROPN
ejpam-3310	150	5	,	,	PUNCT
ejpam-3310	150	6	v	v	NOUN
ejpam-3310	150	7	]	]	X
ejpam-3310	150	8	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	150	9	v	v	ADP
ejpam-3310	150	10	]	]	PUNCT
ejpam-3310	150	11	<	<	X
ejpam-3310	150	12	ε	ε	PROPN
ejpam-3310	150	13	.	.	PUNCT
ejpam-3310	150	14	theorem	theorem	NOUN
ejpam-3310	150	15	1	1	NUM
ejpam-3310	150	16	.	.	PUNCT
ejpam-3310	151	1	[	[	X
ejpam-3310	151	2	6	6	NUM
ejpam-3310	151	3	,	,	PUNCT
ejpam-3310	151	4	theorem	theorem	VERB
ejpam-3310	151	5	3.4	3.4	NUM
ejpam-3310	151	6	]	]	PUNCT
ejpam-3310	151	7	let	let	VERB
ejpam-3310	151	8	f	f	PRON
ejpam-3310	151	9	:	:	PUNCT
ejpam-3310	152	1	[	[	X
ejpam-3310	152	2	0	0	NUM
ejpam-3310	152	3	,	,	PUNCT
ejpam-3310	152	4	t	t	X
ejpam-3310	152	5	]	]	X
ejpam-3310	152	6	×	×	PROPN
ejpam-3310	152	7	ω→	ω→	SYM
ejpam-3310	152	8	l(u	l(u	PROPN
ejpam-3310	152	9	,	,	PUNCT
ejpam-3310	152	10	v	v	NOUN
ejpam-3310	152	11	)	)	PUNCT
ejpam-3310	152	12	be	be	AUX
ejpam-3310	152	13	an	an	DET
ejpam-3310	152	14	adapted	adapt	VERB
ejpam-3310	152	15	process	process	NOUN
ejpam-3310	152	16	.	.	PUNCT
ejpam-3310	153	1	then	then	ADV
ejpam-3310	153	2	f	f	PROPN
ejpam-3310	153	3	is	be	AUX
ejpam-3310	153	4	ih	ih	NOUN
ejpam-3310	153	5	-	-	NOUN
ejpam-3310	153	6	integrable	integrable	ADJ
ejpam-3310	153	7	on	on	ADP
ejpam-3310	153	8	[	[	X
ejpam-3310	153	9	0	0	NUM
ejpam-3310	153	10	,	,	PUNCT
ejpam-3310	153	11	t	t	X
ejpam-3310	153	12	]	]	PUNCT
ejpam-3310	153	13	if	if	SCONJ
ejpam-3310	153	14	and	and	CCONJ
ejpam-3310	153	15	only	only	ADV
ejpam-3310	153	16	if	if	SCONJ
ejpam-3310	153	17	there	there	PRON
ejpam-3310	153	18	exists	exist	VERB
ejpam-3310	153	19	a	a	DET
ejpam-3310	153	20	function	function	NOUN
ejpam-3310	154	1	f	f	NOUN
ejpam-3310	154	2	:	:	PUNCT
ejpam-3310	154	3	j	j	PROPN
ejpam-3310	154	4	×ω→	×ω→	NOUN
ejpam-3310	154	5	v	v	ADP
ejpam-3310	154	6	such	such	ADJ
ejpam-3310	154	7	that	that	SCONJ
ejpam-3310	154	8	(	(	PUNCT
ejpam-3310	154	9	i	i	NOUN
ejpam-3310	154	10	)	)	PUNCT
ejpam-3310	154	11	f	f	PROPN
ejpam-3310	154	12	is	be	AUX
ejpam-3310	154	13	ac2[0	ac2[0	ADJ
ejpam-3310	154	14	,	,	PUNCT
ejpam-3310	154	15	t	t	X
ejpam-3310	154	16	]	]	PUNCT
ejpam-3310	154	17	and	and	CCONJ
ejpam-3310	154	18	(	(	PUNCT
ejpam-3310	154	19	ii	ii	NOUN
ejpam-3310	154	20	)	)	PUNCT
ejpam-3310	154	21	for	for	ADP
ejpam-3310	154	22	every	every	DET
ejpam-3310	154	23	ε	ε	PROPN
ejpam-3310	154	24	>	>	X
ejpam-3310	154	25	0	0	PROPN
ejpam-3310	154	26	,	,	PUNCT
ejpam-3310	154	27	there	there	PRON
ejpam-3310	154	28	exist	exist	VERB
ejpam-3310	154	29	a	a	DET
ejpam-3310	154	30	positive	positive	ADJ
ejpam-3310	154	31	function	function	NOUN
ejpam-3310	154	32	δ	δ	PROPN
ejpam-3310	154	33	on	on	ADP
ejpam-3310	154	34	[	[	X
ejpam-3310	154	35	0	0	NUM
ejpam-3310	154	36	,	,	PUNCT
ejpam-3310	154	37	t	t	X
ejpam-3310	154	38	]	]	PUNCT
ejpam-3310	154	39	such	such	ADJ
ejpam-3310	154	40	that	that	SCONJ
ejpam-3310	154	41	whenever	whenever	SCONJ
ejpam-3310	154	42	d	d	NOUN
ejpam-3310	154	43	=	=	PRON
ejpam-3310	154	44	{	{	PUNCT
ejpam-3310	154	45	(	(	PUNCT
ejpam-3310	154	46	(	(	PUNCT
ejpam-3310	154	47	ξ	ξ	X
ejpam-3310	154	48	,	,	PUNCT
ejpam-3310	154	49	v	v	NOUN
ejpam-3310	154	50	]	]	X
ejpam-3310	154	51	,	,	PUNCT
ejpam-3310	154	52	ξ	ξ	X
ejpam-3310	154	53	)	)	PUNCT
ejpam-3310	154	54	}	}	PUNCT
ejpam-3310	154	55	is	be	AUX
ejpam-3310	154	56	a	a	DET
ejpam-3310	154	57	δ	δ	NOUN
ejpam-3310	154	58	-	-	PUNCT
ejpam-3310	154	59	fine	fine	ADJ
ejpam-3310	154	60	belated	belate	VERB
ejpam-3310	154	61	partial	partial	ADJ
ejpam-3310	154	62	division	division	NOUN
ejpam-3310	154	63	of	of	ADP
ejpam-3310	154	64	[	[	X
ejpam-3310	154	65	0	0	NUM
ejpam-3310	154	66	,	,	PUNCT
ejpam-3310	154	67	t	t	X
ejpam-3310	154	68	]	]	PUNCT
ejpam-3310	154	69	,	,	PUNCT
ejpam-3310	154	70	we	we	PRON
ejpam-3310	154	71	have	have	VERB
ejpam-3310	154	72	e	e	NOUN
ejpam-3310	154	73	[	[	X
ejpam-3310	154	74	∥∥∥(d	∥∥∥(d	X
ejpam-3310	154	75	)	)	PUNCT
ejpam-3310	154	76	∑	∑	PRON
ejpam-3310	154	77	{	{	PUNCT
ejpam-3310	154	78	fξ(wv	fξ(wv	NOUN
ejpam-3310	155	1	−wξ)−	−wξ)−	PROPN
ejpam-3310	155	2	f	f	X
ejpam-3310	155	3	(	(	PUNCT
ejpam-3310	155	4	ξ	ξ	PROPN
ejpam-3310	155	5	,	,	PUNCT
ejpam-3310	155	6	v	v	NOUN
ejpam-3310	155	7	]	]	X
ejpam-3310	155	8	}	}	PUNCT
ejpam-3310	155	9	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	155	10	v	v	ADP
ejpam-3310	155	11	]	]	PUNCT
ejpam-3310	155	12	<	<	X
ejpam-3310	155	13	ε	ε	PROPN
ejpam-3310	155	14	.	.	PUNCT
ejpam-3310	156	1	we	we	PRON
ejpam-3310	156	2	remark	remark	VERB
ejpam-3310	156	3	that	that	SCONJ
ejpam-3310	156	4	in	in	ADP
ejpam-3310	156	5	theorem	theorem	NOUN
ejpam-3310	156	6	1	1	NUM
ejpam-3310	156	7	if	if	SCONJ
ejpam-3310	156	8	f	f	PROPN
ejpam-3310	156	9	is	be	AUX
ejpam-3310	156	10	ih	ih	NOUN
ejpam-3310	156	11	-	-	NOUN
ejpam-3310	156	12	integrable	integrable	ADJ
ejpam-3310	156	13	on	on	ADP
ejpam-3310	156	14	[	[	X
ejpam-3310	156	15	0	0	NUM
ejpam-3310	156	16	,	,	PUNCT
ejpam-3310	156	17	t	t	X
ejpam-3310	156	18	]	]	PUNCT
ejpam-3310	156	19	,	,	PUNCT
ejpam-3310	156	20	then	then	ADV
ejpam-3310	156	21	the	the	DET
ejpam-3310	156	22	existing	exist	VERB
ejpam-3310	156	23	function	function	NOUN
ejpam-3310	156	24	f	f	PROPN
ejpam-3310	156	25	that	that	PRON
ejpam-3310	156	26	satisfies	satisfy	VERB
ejpam-3310	156	27	conditions	condition	NOUN
ejpam-3310	156	28	(	(	PUNCT
ejpam-3310	156	29	i	i	NOUN
ejpam-3310	156	30	)	)	PUNCT
ejpam-3310	156	31	and	and	CCONJ
ejpam-3310	156	32	(	(	PUNCT
ejpam-3310	156	33	ii	ii	NOUN
ejpam-3310	156	34	)	)	PUNCT
ejpam-3310	156	35	is	be	AUX
ejpam-3310	156	36	given	give	VERB
ejpam-3310	156	37	by	by	ADP
ejpam-3310	156	38	f	f	PROPN
ejpam-3310	156	39	(	(	PUNCT
ejpam-3310	156	40	u	u	NOUN
ejpam-3310	156	41	,	,	PUNCT
ejpam-3310	156	42	v	v	NOUN
ejpam-3310	156	43	]	]	PUNCT
ejpam-3310	156	44	:	:	PUNCT
ejpam-3310	156	45	=	=	SYM
ejpam-3310	156	46	(	(	PUNCT
ejpam-3310	156	47	ih	ih	NOUN
ejpam-3310	156	48	)	)	PUNCT
ejpam-3310	156	49	∫	∫	PROPN
ejpam-3310	157	1	v	v	NUM
ejpam-3310	157	2	u	u	NOUN
ejpam-3310	157	3	ft	ft	NOUN
ejpam-3310	157	4	dwt	dwt	NOUN
ejpam-3310	157	5	for	for	ADP
ejpam-3310	157	6	each	each	DET
ejpam-3310	157	7	(	(	PUNCT
ejpam-3310	157	8	u	u	NOUN
ejpam-3310	157	9	,	,	PUNCT
ejpam-3310	157	10	v	v	NOUN
ejpam-3310	157	11	]	]	X
ejpam-3310	157	12	∈	∈	PROPN
ejpam-3310	157	13	j	j	PROPN
ejpam-3310	157	14	,	,	PUNCT
ejpam-3310	157	15	see	see	VERB
ejpam-3310	157	16	[	[	X
ejpam-3310	157	17	6	6	NUM
ejpam-3310	157	18	,	,	PUNCT
ejpam-3310	157	19	proof	proof	NOUN
ejpam-3310	157	20	of	of	ADP
ejpam-3310	157	21	theorem	theorem	ADJ
ejpam-3310	157	22	3.4	3.4	NUM
ejpam-3310	157	23	]	]	PUNCT
ejpam-3310	157	24	.	.	PUNCT
ejpam-3310	158	1	next	next	ADV
ejpam-3310	158	2	,	,	PUNCT
ejpam-3310	158	3	we	we	PRON
ejpam-3310	158	4	present	present	VERB
ejpam-3310	158	5	the	the	DET
ejpam-3310	158	6	double	double	ADJ
ejpam-3310	158	7	lusin	lusin	NOUN
ejpam-3310	158	8	condition	condition	NOUN
ejpam-3310	158	9	-	-	PUNCT
ejpam-3310	158	10	property	property	NOUN
ejpam-3310	158	11	for	for	ADP
ejpam-3310	158	12	a	a	DET
ejpam-3310	158	13	process	process	NOUN
ejpam-3310	158	14	f	f	NOUN
ejpam-3310	158	15	:	:	PUNCT
ejpam-3310	159	1	[	[	X
ejpam-3310	159	2	0	0	NUM
ejpam-3310	159	3	,	,	PUNCT
ejpam-3310	159	4	t	t	X
ejpam-3310	159	5	]	]	PUNCT
ejpam-3310	159	6	×	×	PROPN
ejpam-3310	159	7	ω	ω	PROPN
ejpam-3310	159	8	→	→	SYM
ejpam-3310	159	9	l(u	l(u	PROPN
ejpam-3310	159	10	,	,	PUNCT
ejpam-3310	159	11	v	v	NOUN
ejpam-3310	159	12	)	)	PUNCT
ejpam-3310	159	13	and	and	CCONJ
ejpam-3310	159	14	a	a	DET
ejpam-3310	159	15	function	function	NOUN
ejpam-3310	159	16	f	f	NOUN
ejpam-3310	159	17	:	:	PUNCT
ejpam-3310	159	18	j	j	PROPN
ejpam-3310	159	19	×	×	PROPN
ejpam-3310	159	20	ω	ω	PROPN
ejpam-3310	159	21	→	→	SYM
ejpam-3310	159	22	v	v	PROPN
ejpam-3310	159	23	.	.	PUNCT
ejpam-3310	160	1	this	this	DET
ejpam-3310	160	2	property	property	NOUN
ejpam-3310	160	3	is	be	AUX
ejpam-3310	160	4	analogous	analogous	ADJ
ejpam-3310	160	5	to	to	ADP
ejpam-3310	160	6	the	the	DET
ejpam-3310	160	7	double	double	ADJ
ejpam-3310	160	8	lusin	lusin	NOUN
ejpam-3310	160	9	condition	condition	NOUN
ejpam-3310	160	10	used	use	VERB
ejpam-3310	160	11	in	in	ADP
ejpam-3310	160	12	[	[	X
ejpam-3310	160	13	1	1	NUM
ejpam-3310	160	14	,	,	PUNCT
ejpam-3310	160	15	11	11	NUM
ejpam-3310	160	16	]	]	PUNCT
ejpam-3310	160	17	.	.	PUNCT
ejpam-3310	161	1	definition	definition	NOUN
ejpam-3310	161	2	5	5	NUM
ejpam-3310	161	3	.	.	PUNCT
ejpam-3310	162	1	let	let	VERB
ejpam-3310	162	2	f	f	NOUN
ejpam-3310	162	3	:	:	PUNCT
ejpam-3310	163	1	[	[	X
ejpam-3310	163	2	0	0	NUM
ejpam-3310	163	3	,	,	PUNCT
ejpam-3310	163	4	t	t	X
ejpam-3310	163	5	]	]	PUNCT
ejpam-3310	163	6	×	×	PROPN
ejpam-3310	163	7	ω	ω	PROPN
ejpam-3310	163	8	→	→	SYM
ejpam-3310	163	9	l(u	l(u	PROPN
ejpam-3310	163	10	,	,	PUNCT
ejpam-3310	163	11	v	v	NOUN
ejpam-3310	163	12	)	)	PUNCT
ejpam-3310	163	13	be	be	AUX
ejpam-3310	163	14	an	an	DET
ejpam-3310	163	15	adapted	adapt	VERB
ejpam-3310	163	16	process	process	NOUN
ejpam-3310	163	17	and	and	CCONJ
ejpam-3310	163	18	f	f	NOUN
ejpam-3310	163	19	:	:	PUNCT
ejpam-3310	163	20	j	j	PROPN
ejpam-3310	163	21	×	×	PROPN
ejpam-3310	163	22	ω	ω	PROPN
ejpam-3310	163	23	→	→	SYM
ejpam-3310	163	24	v	v	X
ejpam-3310	163	25	be	be	AUX
ejpam-3310	163	26	a	a	DET
ejpam-3310	163	27	function	function	NOUN
ejpam-3310	163	28	.	.	PUNCT
ejpam-3310	164	1	for	for	ADP
ejpam-3310	164	2	any	any	DET
ejpam-3310	164	3	given	give	VERB
ejpam-3310	164	4	ε	ε	PROPN
ejpam-3310	164	5	>	>	X
ejpam-3310	164	6	0	0	PROPN
ejpam-3310	164	7	,	,	PUNCT
ejpam-3310	164	8	let	let	VERB
ejpam-3310	164	9	γε	γε	PRON
ejpam-3310	164	10	be	be	AUX
ejpam-3310	164	11	the	the	DET
ejpam-3310	164	12	set	set	NOUN
ejpam-3310	164	13	of	of	ADP
ejpam-3310	164	14	all	all	DET
ejpam-3310	164	15	interval	interval	NOUN
ejpam-3310	164	16	-	-	PUNCT
ejpam-3310	164	17	point	point	NOUN
ejpam-3310	164	18	pairs	pair	NOUN
ejpam-3310	164	19	{	{	PUNCT
ejpam-3310	164	20	(	(	PUNCT
ejpam-3310	164	21	(	(	PUNCT
ejpam-3310	164	22	ξ	ξ	X
ejpam-3310	164	23	,	,	PUNCT
ejpam-3310	164	24	v	v	NOUN
ejpam-3310	164	25	]	]	X
ejpam-3310	164	26	,	,	PUNCT
ejpam-3310	164	27	ξ	ξ	X
ejpam-3310	164	28	)	)	PUNCT
ejpam-3310	164	29	}	}	PUNCT
ejpam-3310	164	30	such	such	ADJ
ejpam-3310	164	31	that	that	SCONJ
ejpam-3310	164	32	e	e	NOUN
ejpam-3310	164	33	[	[	PUNCT
ejpam-3310	164	34	‖fξ(wv	‖fξ(wv	NOUN
ejpam-3310	164	35	−wξ)−	−wξ)−	NOUN
ejpam-3310	164	36	f	f	PROPN
ejpam-3310	164	37	(	(	PUNCT
ejpam-3310	164	38	ξ	ξ	PROPN
ejpam-3310	164	39	,	,	PUNCT
ejpam-3310	164	40	v]‖2v	v]‖2v	X
ejpam-3310	164	41	]	]	PUNCT
ejpam-3310	164	42	≥	≥	X
ejpam-3310	164	43	εe	εe	X
ejpam-3310	164	44	[	[	PUNCT
ejpam-3310	164	45	‖wv	‖wv	PROPN
ejpam-3310	164	46	−wξ‖2u	−wξ‖2u	PROPN
ejpam-3310	164	47	]	]	X
ejpam-3310	164	48	=	=	PUNCT
ejpam-3310	164	49	ε(v	ε(v	PROPN
ejpam-3310	164	50	−	−	PROPN
ejpam-3310	165	1	ξ)tr	ξ)tr	PROPN
ejpam-3310	165	2	q.	q.	PROPN
ejpam-3310	165	3	definition	definition	NOUN
ejpam-3310	165	4	6	6	NUM
ejpam-3310	165	5	.	.	PUNCT
ejpam-3310	166	1	a	a	DET
ejpam-3310	166	2	process	process	NOUN
ejpam-3310	166	3	f	f	X
ejpam-3310	167	1	:	:	PUNCT
ejpam-3310	168	1	[	[	X
ejpam-3310	168	2	0	0	NUM
ejpam-3310	168	3	,	,	PUNCT
ejpam-3310	168	4	t	t	X
ejpam-3310	168	5	]	]	PUNCT
ejpam-3310	168	6	×ω→	×ω→	PROPN
ejpam-3310	168	7	l(u	l(u	PROPN
ejpam-3310	168	8	,	,	PUNCT
ejpam-3310	168	9	v	v	NOUN
ejpam-3310	168	10	)	)	PUNCT
ejpam-3310	168	11	and	and	CCONJ
ejpam-3310	168	12	a	a	DET
ejpam-3310	168	13	function	function	NOUN
ejpam-3310	168	14	f	f	NOUN
ejpam-3310	168	15	:	:	PUNCT
ejpam-3310	168	16	j	j	PROPN
ejpam-3310	168	17	×ω→	×ω→	PROPN
ejpam-3310	168	18	v	v	NOUN
ejpam-3310	168	19	are	be	AUX
ejpam-3310	168	20	said	say	VERB
ejpam-3310	168	21	to	to	PART
ejpam-3310	168	22	satisfy	satisfy	VERB
ejpam-3310	168	23	the	the	DET
ejpam-3310	168	24	double	double	ADJ
ejpam-3310	168	25	lusin	lusin	NOUN
ejpam-3310	168	26	condition	condition	NOUN
ejpam-3310	168	27	if	if	SCONJ
ejpam-3310	168	28	for	for	ADP
ejpam-3310	168	29	every	every	DET
ejpam-3310	168	30	ε	ε	PROPN
ejpam-3310	168	31	>	>	X
ejpam-3310	168	32	0	0	PROPN
ejpam-3310	168	33	,	,	PUNCT
ejpam-3310	168	34	there	there	PRON
ejpam-3310	168	35	exists	exist	VERB
ejpam-3310	168	36	a	a	DET
ejpam-3310	168	37	positive	positive	ADJ
ejpam-3310	168	38	function	function	NOUN
ejpam-3310	168	39	δ	δ	PROPN
ejpam-3310	168	40	on	on	ADP
ejpam-3310	168	41	[	[	X
ejpam-3310	168	42	0	0	NUM
ejpam-3310	168	43	,	,	PUNCT
ejpam-3310	168	44	t	t	X
ejpam-3310	168	45	]	]	PUNCT
ejpam-3310	168	46	such	such	ADJ
ejpam-3310	168	47	that	that	PRON
ejpam-3310	168	48	for	for	ADP
ejpam-3310	168	49	any	any	DET
ejpam-3310	168	50	δ	δ	NOUN
ejpam-3310	168	51	-	-	PUNCT
ejpam-3310	168	52	fine	fine	NOUN
ejpam-3310	168	53	belated	belate	VERB
ejpam-3310	168	54	partial	partial	ADJ
ejpam-3310	168	55	division	division	NOUN
ejpam-3310	168	56	d	d	NOUN
ejpam-3310	168	57	=	=	PRON
ejpam-3310	168	58	{	{	PUNCT
ejpam-3310	168	59	(	(	PUNCT
ejpam-3310	168	60	(	(	PUNCT
ejpam-3310	168	61	ξ	ξ	X
ejpam-3310	168	62	,	,	PUNCT
ejpam-3310	168	63	v	v	NOUN
ejpam-3310	168	64	]	]	X
ejpam-3310	168	65	,	,	PUNCT
ejpam-3310	168	66	ξ	ξ	X
ejpam-3310	168	67	)	)	PUNCT
ejpam-3310	168	68	}	}	PUNCT
ejpam-3310	168	69	⊆	⊆	NUM
ejpam-3310	168	70	γε	γε	NOUN
ejpam-3310	168	71	of	of	ADP
ejpam-3310	168	72	[	[	X
ejpam-3310	168	73	0	0	NUM
ejpam-3310	168	74	,	,	PUNCT
ejpam-3310	168	75	t	t	X
ejpam-3310	168	76	]	]	PUNCT
ejpam-3310	168	77	,	,	PUNCT
ejpam-3310	168	78	e	e	X
ejpam-3310	168	79	[	[	PUNCT
ejpam-3310	168	80	‖(d	‖(d	PROPN
ejpam-3310	168	81	)	)	PUNCT
ejpam-3310	168	82	∑	∑	PUNCT
ejpam-3310	168	83	fξ(wv	fξ(wv	VERB
ejpam-3310	168	84	−wξ)‖2v	−wξ)‖2v	PROPN
ejpam-3310	168	85	]	]	PUNCT
ejpam-3310	168	86	<	<	X
ejpam-3310	168	87	ε	ε	PROPN
ejpam-3310	168	88	and	and	CCONJ
ejpam-3310	168	89	e	e	X
ejpam-3310	168	90	[	[	PUNCT
ejpam-3310	168	91	‖(d	‖(d	PROPN
ejpam-3310	168	92	)	)	PUNCT
ejpam-3310	168	93	∑	∑	PROPN
ejpam-3310	168	94	f	f	PROPN
ejpam-3310	168	95	(	(	PUNCT
ejpam-3310	168	96	ξ	ξ	PROPN
ejpam-3310	168	97	,	,	PUNCT
ejpam-3310	168	98	v]‖2v	v]‖2v	X
ejpam-3310	168	99	]	]	PUNCT
ejpam-3310	168	100	<	<	X
ejpam-3310	168	101	ε	ε	PROPN
ejpam-3310	168	102	.	.	PROPN
ejpam-3310	168	103	m.	m.	PROPN
ejpam-3310	168	104	labendia	labendia	PROPN
ejpam-3310	168	105	,	,	PUNCT
ejpam-3310	168	106	j.	j.	PROPN
ejpam-3310	168	107	arcede	arcede	PROPN
ejpam-3310	168	108	/	/	SYM
ejpam-3310	168	109	eur	eur	PROPN
ejpam-3310	168	110	.	.	PUNCT
ejpam-3310	169	1	j.	j.	PROPN
ejpam-3310	169	2	pure	pure	PROPN
ejpam-3310	169	3	appl	appl	PROPN
ejpam-3310	169	4	.	.	PROPN
ejpam-3310	169	5	math	math	PROPN
ejpam-3310	169	6	,	,	PUNCT
ejpam-3310	169	7	11	11	NUM
ejpam-3310	169	8	(	(	PUNCT
ejpam-3310	169	9	4	4	NUM
ejpam-3310	169	10	)	)	PUNCT
ejpam-3310	169	11	(	(	PUNCT
ejpam-3310	169	12	2018	2018	NUM
ejpam-3310	169	13	)	)	PUNCT
ejpam-3310	169	14	,	,	PUNCT
ejpam-3310	169	15	1003	1003	NUM
ejpam-3310	169	16	-	-	SYM
ejpam-3310	169	17	1013	1013	NUM
ejpam-3310	169	18	1009	1009	NUM
ejpam-3310	169	19	definition	definition	NOUN
ejpam-3310	169	20	7	7	NUM
ejpam-3310	169	21	.	.	PUNCT
ejpam-3310	170	1	a	a	DET
ejpam-3310	170	2	function	function	NOUN
ejpam-3310	170	3	f	f	NOUN
ejpam-3310	170	4	:	:	PUNCT
ejpam-3310	170	5	j	j	PROPN
ejpam-3310	170	6	×	×	PROPN
ejpam-3310	170	7	ω→	ω→	NUM
ejpam-3310	170	8	v	v	NOUN
ejpam-3310	170	9	is	be	AUX
ejpam-3310	170	10	said	say	VERB
ejpam-3310	170	11	to	to	PART
ejpam-3310	170	12	satisfy	satisfy	VERB
ejpam-3310	170	13	the	the	DET
ejpam-3310	170	14	double	double	ADJ
ejpam-3310	170	15	lusin	lusin	NOUN
ejpam-3310	170	16	condition	condition	NOUN
ejpam-3310	170	17	if	if	SCONJ
ejpam-3310	170	18	for	for	ADP
ejpam-3310	170	19	every	every	DET
ejpam-3310	170	20	ε	ε	PROPN
ejpam-3310	170	21	>	>	X
ejpam-3310	170	22	0	0	PROPN
ejpam-3310	170	23	,	,	PUNCT
ejpam-3310	170	24	there	there	PRON
ejpam-3310	170	25	exists	exist	VERB
ejpam-3310	170	26	a	a	DET
ejpam-3310	170	27	positive	positive	ADJ
ejpam-3310	170	28	function	function	NOUN
ejpam-3310	170	29	δ	δ	PROPN
ejpam-3310	170	30	on	on	ADP
ejpam-3310	170	31	[	[	X
ejpam-3310	170	32	0	0	NUM
ejpam-3310	170	33	,	,	PUNCT
ejpam-3310	170	34	t	t	X
ejpam-3310	170	35	]	]	PUNCT
ejpam-3310	170	36	such	such	ADJ
ejpam-3310	170	37	that	that	PRON
ejpam-3310	170	38	for	for	ADP
ejpam-3310	170	39	any	any	DET
ejpam-3310	170	40	δ	δ	NOUN
ejpam-3310	170	41	-	-	PUNCT
ejpam-3310	170	42	fine	fine	NOUN
ejpam-3310	170	43	belated	belate	VERB
ejpam-3310	170	44	partial	partial	ADJ
ejpam-3310	170	45	division	division	NOUN
ejpam-3310	170	46	d	d	NOUN
ejpam-3310	170	47	=	=	PRON
ejpam-3310	170	48	{	{	PUNCT
ejpam-3310	170	49	(	(	PUNCT
ejpam-3310	170	50	(	(	PUNCT
ejpam-3310	170	51	ξ	ξ	X
ejpam-3310	170	52	,	,	PUNCT
ejpam-3310	170	53	v	v	NOUN
ejpam-3310	170	54	]	]	X
ejpam-3310	170	55	,	,	PUNCT
ejpam-3310	170	56	ξ	ξ	X
ejpam-3310	170	57	)	)	PUNCT
ejpam-3310	170	58	}	}	PUNCT
ejpam-3310	170	59	⊆	⊆	NUM
ejpam-3310	170	60	γε	γε	NOUN
ejpam-3310	170	61	of	of	ADP
ejpam-3310	170	62	[	[	X
ejpam-3310	170	63	0	0	NUM
ejpam-3310	170	64	,	,	PUNCT
ejpam-3310	170	65	t	t	X
ejpam-3310	170	66	]	]	PUNCT
ejpam-3310	170	67	,	,	PUNCT
ejpam-3310	170	68	e	e	X
ejpam-3310	170	69	[	[	PUNCT
ejpam-3310	170	70	‖(d	‖(d	PROPN
ejpam-3310	170	71	)	)	PUNCT
ejpam-3310	170	72	∑	∑	PUNCT
ejpam-3310	170	73	(	(	PUNCT
ejpam-3310	170	74	wv	wv	PROPN
ejpam-3310	170	75	−wξ)‖2v	−wξ)‖2v	NOUN
ejpam-3310	170	76	]	]	PUNCT
ejpam-3310	170	77	<	<	X
ejpam-3310	170	78	ε	ε	PROPN
ejpam-3310	170	79	and	and	CCONJ
ejpam-3310	170	80	e	e	X
ejpam-3310	170	81	[	[	PUNCT
ejpam-3310	170	82	‖(d	‖(d	PROPN
ejpam-3310	170	83	)	)	PUNCT
ejpam-3310	170	84	∑	∑	PROPN
ejpam-3310	170	85	f	f	PROPN
ejpam-3310	170	86	(	(	PUNCT
ejpam-3310	170	87	ξ	ξ	PROPN
ejpam-3310	170	88	,	,	PUNCT
ejpam-3310	170	89	v]‖2v	v]‖2v	X
ejpam-3310	170	90	]	]	PUNCT
ejpam-3310	170	91	<	<	X
ejpam-3310	170	92	ε	ε	PROPN
ejpam-3310	170	93	.	.	PUNCT
ejpam-3310	171	1	before	before	ADP
ejpam-3310	171	2	giving	give	VERB
ejpam-3310	171	3	an	an	DET
ejpam-3310	171	4	equivalent	equivalent	ADJ
ejpam-3310	171	5	definition	definition	NOUN
ejpam-3310	171	6	of	of	ADP
ejpam-3310	171	7	ih	ih	NOUN
ejpam-3310	171	8	-	-	PUNCT
ejpam-3310	171	9	integrable	integrable	ADJ
ejpam-3310	171	10	operator	operator	NOUN
ejpam-3310	171	11	-	-	PUNCT
ejpam-3310	171	12	valued	value	VERB
ejpam-3310	171	13	process	process	NOUN
ejpam-3310	171	14	,	,	PUNCT
ejpam-3310	171	15	we	we	PRON
ejpam-3310	171	16	need	need	VERB
ejpam-3310	171	17	to	to	PART
ejpam-3310	171	18	consider	consider	VERB
ejpam-3310	171	19	the	the	DET
ejpam-3310	171	20	following	follow	VERB
ejpam-3310	171	21	known	know	VERB
ejpam-3310	171	22	results	result	NOUN
ejpam-3310	171	23	:	:	PUNCT
ejpam-3310	171	24	lemma	lemma	PROPN
ejpam-3310	171	25	1	1	X
ejpam-3310	171	26	.	.	PUNCT
ejpam-3310	172	1	[	[	X
ejpam-3310	172	2	7	7	NUM
ejpam-3310	172	3	,	,	PUNCT
ejpam-3310	172	4	lemma	lemma	PROPN
ejpam-3310	172	5	3.6	3.6	NUM
ejpam-3310	172	6	]	]	PUNCT
ejpam-3310	172	7	let	let	VERB
ejpam-3310	172	8	f	f	PRON
ejpam-3310	172	9	:	:	PUNCT
ejpam-3310	173	1	[	[	X
ejpam-3310	173	2	0	0	NUM
ejpam-3310	173	3	,	,	PUNCT
ejpam-3310	173	4	t	t	X
ejpam-3310	173	5	]	]	PUNCT
ejpam-3310	173	6	×	×	PROPN
ejpam-3310	173	7	ω	ω	PROPN
ejpam-3310	173	8	→	→	SYM
ejpam-3310	173	9	l(u	l(u	PROPN
ejpam-3310	173	10	,	,	PUNCT
ejpam-3310	173	11	v	v	NOUN
ejpam-3310	173	12	)	)	PUNCT
ejpam-3310	173	13	be	be	AUX
ejpam-3310	173	14	an	an	DET
ejpam-3310	173	15	adapted	adapt	VERB
ejpam-3310	173	16	process	process	NOUN
ejpam-3310	173	17	and	and	CCONJ
ejpam-3310	173	18	{	{	PUNCT
ejpam-3310	173	19	(	(	PUNCT
ejpam-3310	173	20	ξi	ξi	NOUN
ejpam-3310	173	21	,	,	PUNCT
ejpam-3310	173	22	vi]}ni=1	vi]}ni=1	PROPN
ejpam-3310	173	23	be	be	AUX
ejpam-3310	173	24	a	a	DET
ejpam-3310	173	25	finite	finite	ADJ
ejpam-3310	173	26	collection	collection	NOUN
ejpam-3310	173	27	of	of	ADP
ejpam-3310	173	28	disjoint	disjoint	ADJ
ejpam-3310	173	29	subintervals	subinterval	NOUN
ejpam-3310	173	30	of	of	ADP
ejpam-3310	173	31	[	[	X
ejpam-3310	173	32	0	0	NUM
ejpam-3310	173	33	,	,	PUNCT
ejpam-3310	173	34	t	t	X
ejpam-3310	173	35	]	]	PUNCT
ejpam-3310	173	36	.	.	PUNCT
ejpam-3310	174	1	then	then	ADV
ejpam-3310	174	2	e	e	X
ejpam-3310	174	3	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-3310	174	4	n∑	n∑	PROPN
ejpam-3310	174	5	i=1	i=1	PROPN
ejpam-3310	174	6	fξi(wvi	fξi(wvi	PROPN
ejpam-3310	174	7	−wξi	−wξi	NOUN
ejpam-3310	174	8	)	)	PUNCT
ejpam-3310	174	9	∥∥∥∥∥	∥∥∥∥∥	PROPN
ejpam-3310	175	1	2	2	NUM
ejpam-3310	175	2	v	v	NOUN
ejpam-3310	175	3			NOUN
ejpam-3310	175	4	=	=	PUNCT
ejpam-3310	176	1	n∑	n∑	NOUN
ejpam-3310	176	2	i=1	i=1	PROPN
ejpam-3310	177	1	e	e	X
ejpam-3310	177	2	[	[	PUNCT
ejpam-3310	177	3	‖fξi(wvi	‖fξi(wvi	PROPN
ejpam-3310	177	4	−wξi)‖	−wξi)‖	PROPN
ejpam-3310	177	5	2	2	NUM
ejpam-3310	177	6	v	v	NOUN
ejpam-3310	177	7	]	]	PUNCT
ejpam-3310	178	1	=	=	PUNCT
ejpam-3310	178	2	n∑	n∑	NOUN
ejpam-3310	178	3	i=1	i=1	PROPN
ejpam-3310	178	4	(	(	PUNCT
ejpam-3310	178	5	vi	vi	PROPN
ejpam-3310	178	6	−	−	PROPN
ejpam-3310	179	1	ξi)e	ξi)e	PROPN
ejpam-3310	179	2	[	[	PUNCT
ejpam-3310	179	3	‖fξi‖	‖fξi‖	PROPN
ejpam-3310	179	4	2	2	NUM
ejpam-3310	179	5	l2(uq	l2(uq	PROPN
ejpam-3310	179	6	,	,	PUNCT
ejpam-3310	179	7	v	v	NOUN
ejpam-3310	179	8	)	)	PUNCT
ejpam-3310	179	9	]	]	PUNCT
ejpam-3310	179	10	.	.	PUNCT
ejpam-3310	180	1	lemma	lemma	PROPN
ejpam-3310	180	2	2	2	X
ejpam-3310	180	3	.	.	PUNCT
ejpam-3310	181	1	(	(	PUNCT
ejpam-3310	181	2	strong	strong	ADJ
ejpam-3310	181	3	version	version	NOUN
ejpam-3310	181	4	of	of	ADP
ejpam-3310	181	5	saks	sak	NOUN
ejpam-3310	181	6	-	-	PUNCT
ejpam-3310	181	7	henstock	henstock	NOUN
ejpam-3310	181	8	lemma	lemma	PROPN
ejpam-3310	181	9	)	)	PUNCT
ejpam-3310	181	10	.	.	PUNCT
ejpam-3310	182	1	let	let	VERB
ejpam-3310	182	2	f	f	PRON
ejpam-3310	182	3	be	be	AUX
ejpam-3310	182	4	ih	ih	NOUN
ejpam-3310	182	5	-	-	NOUN
ejpam-3310	182	6	integrable	integrable	ADJ
ejpam-3310	182	7	on	on	ADP
ejpam-3310	182	8	[	[	X
ejpam-3310	182	9	0	0	NUM
ejpam-3310	182	10	,	,	PUNCT
ejpam-3310	182	11	t	t	NOUN
ejpam-3310	182	12	]	]	PUNCT
ejpam-3310	182	13	and	and	CCONJ
ejpam-3310	182	14	f	f	PROPN
ejpam-3310	182	15	(	(	PUNCT
ejpam-3310	182	16	u	u	NOUN
ejpam-3310	182	17	,	,	PUNCT
ejpam-3310	182	18	v	v	NOUN
ejpam-3310	182	19	]	]	PUNCT
ejpam-3310	182	20	:	:	PUNCT
ejpam-3310	182	21	=	=	SYM
ejpam-3310	182	22	(	(	PUNCT
ejpam-3310	182	23	ih	ih	NOUN
ejpam-3310	182	24	)	)	PUNCT
ejpam-3310	182	25	∫	∫	PROPN
ejpam-3310	182	26	v	v	NUM
ejpam-3310	182	27	u	u	PROPN
ejpam-3310	182	28	ft	ft	NOUN
ejpam-3310	182	29	dwt	dwt	NOUN
ejpam-3310	182	30	for	for	ADP
ejpam-3310	182	31	any	any	DET
ejpam-3310	182	32	(	(	PUNCT
ejpam-3310	182	33	u	u	NOUN
ejpam-3310	182	34	,	,	PUNCT
ejpam-3310	182	35	v	v	ADP
ejpam-3310	182	36	]	]	X
ejpam-3310	182	37	⊂	⊂	PROPN
ejpam-3310	183	1	[	[	X
ejpam-3310	183	2	0	0	NUM
ejpam-3310	183	3	,	,	PUNCT
ejpam-3310	183	4	t	t	X
ejpam-3310	183	5	]	]	PUNCT
ejpam-3310	183	6	.	.	PUNCT
ejpam-3310	184	1	then	then	ADV
ejpam-3310	184	2	for	for	ADP
ejpam-3310	184	3	every	every	DET
ejpam-3310	184	4	ε	ε	PROPN
ejpam-3310	184	5	>	>	X
ejpam-3310	184	6	0	0	PROPN
ejpam-3310	184	7	,	,	PUNCT
ejpam-3310	184	8	there	there	PRON
ejpam-3310	184	9	exist	exist	VERB
ejpam-3310	184	10	a	a	DET
ejpam-3310	184	11	positive	positive	ADJ
ejpam-3310	184	12	function	function	NOUN
ejpam-3310	184	13	δ	δ	PROPN
ejpam-3310	184	14	on	on	ADP
ejpam-3310	184	15	[	[	X
ejpam-3310	184	16	0	0	NUM
ejpam-3310	184	17	,	,	PUNCT
ejpam-3310	184	18	t	t	X
ejpam-3310	184	19	]	]	PUNCT
ejpam-3310	184	20	such	such	ADJ
ejpam-3310	184	21	that	that	PRON
ejpam-3310	184	22	for	for	ADP
ejpam-3310	184	23	any	any	DET
ejpam-3310	184	24	δ	δ	NOUN
ejpam-3310	184	25	-	-	PUNCT
ejpam-3310	184	26	fine	fine	NOUN
ejpam-3310	184	27	belated	belate	VERB
ejpam-3310	184	28	partial	partial	ADJ
ejpam-3310	184	29	division	division	NOUN
ejpam-3310	184	30	d	d	NOUN
ejpam-3310	184	31	=	=	PRON
ejpam-3310	184	32	{	{	PUNCT
ejpam-3310	184	33	(	(	PUNCT
ejpam-3310	184	34	(	(	PUNCT
ejpam-3310	184	35	ξ	ξ	X
ejpam-3310	184	36	,	,	PUNCT
ejpam-3310	184	37	v	v	NOUN
ejpam-3310	184	38	]	]	X
ejpam-3310	184	39	,	,	PUNCT
ejpam-3310	184	40	ξ	ξ	X
ejpam-3310	184	41	)	)	PUNCT
ejpam-3310	184	42	}	}	PUNCT
ejpam-3310	184	43	of	of	ADP
ejpam-3310	184	44	[	[	X
ejpam-3310	184	45	0	0	NUM
ejpam-3310	184	46	,	,	PUNCT
ejpam-3310	184	47	t	t	X
ejpam-3310	184	48	]	]	PUNCT
ejpam-3310	184	49	,	,	PUNCT
ejpam-3310	184	50	we	we	PRON
ejpam-3310	184	51	have	have	VERB
ejpam-3310	184	52	(	(	PUNCT
ejpam-3310	184	53	d	d	NOUN
ejpam-3310	184	54	)	)	PUNCT
ejpam-3310	184	55	∑	∑	PUNCT
ejpam-3310	184	56	e	e	X
ejpam-3310	184	57	[	[	PUNCT
ejpam-3310	184	58	‖fξ(wv	‖fξ(wv	ADJ
ejpam-3310	184	59	−wξ)−	−wξ)−	NOUN
ejpam-3310	184	60	f	f	PROPN
ejpam-3310	184	61	(	(	PUNCT
ejpam-3310	184	62	ξ	ξ	PROPN
ejpam-3310	184	63	,	,	PUNCT
ejpam-3310	184	64	v]‖2v	v]‖2v	X
ejpam-3310	184	65	]	]	PUNCT
ejpam-3310	184	66	<	<	X
ejpam-3310	184	67	ε	ε	PROPN
ejpam-3310	184	68	.	.	PUNCT
ejpam-3310	185	1	we	we	PRON
ejpam-3310	185	2	shall	shall	AUX
ejpam-3310	185	3	now	now	ADV
ejpam-3310	185	4	characterize	characterize	VERB
ejpam-3310	185	5	the	the	DET
ejpam-3310	185	6	itô-henstock	itô-henstock	NOUN
ejpam-3310	185	7	integral	integral	ADJ
ejpam-3310	185	8	using	use	VERB
ejpam-3310	185	9	the	the	DET
ejpam-3310	185	10	double	double	ADJ
ejpam-3310	185	11	lusin	lusin	NOUN
ejpam-3310	185	12	condition	condition	NOUN
ejpam-3310	185	13	.	.	PUNCT
ejpam-3310	186	1	theorem	theorem	NOUN
ejpam-3310	186	2	2	2	NUM
ejpam-3310	186	3	.	.	PUNCT
ejpam-3310	187	1	let	let	VERB
ejpam-3310	187	2	f	f	NOUN
ejpam-3310	187	3	:	:	PUNCT
ejpam-3310	188	1	[	[	X
ejpam-3310	188	2	0	0	NUM
ejpam-3310	188	3	,	,	PUNCT
ejpam-3310	188	4	t	t	X
ejpam-3310	188	5	]	]	PUNCT
ejpam-3310	188	6	×ω→	×ω→	PROPN
ejpam-3310	188	7	l(u	l(u	PROPN
ejpam-3310	188	8	,	,	PUNCT
ejpam-3310	188	9	v	v	NOUN
ejpam-3310	188	10	)	)	PUNCT
ejpam-3310	188	11	be	be	AUX
ejpam-3310	188	12	an	an	DET
ejpam-3310	188	13	adapted	adapt	VERB
ejpam-3310	188	14	process	process	NOUN
ejpam-3310	188	15	.	.	PUNCT
ejpam-3310	189	1	then	then	ADV
ejpam-3310	189	2	f	f	PROPN
ejpam-3310	189	3	is	be	AUX
ejpam-3310	189	4	ih	ih	NOUN
ejpam-3310	189	5	-	-	NOUN
ejpam-3310	189	6	integrable	integrable	ADJ
ejpam-3310	189	7	on	on	ADP
ejpam-3310	189	8	[	[	X
ejpam-3310	189	9	0	0	NUM
ejpam-3310	189	10	,	,	PUNCT
ejpam-3310	189	11	t	t	X
ejpam-3310	189	12	]	]	PUNCT
ejpam-3310	189	13	if	if	SCONJ
ejpam-3310	189	14	and	and	CCONJ
ejpam-3310	189	15	only	only	ADV
ejpam-3310	189	16	if	if	SCONJ
ejpam-3310	189	17	there	there	PRON
ejpam-3310	189	18	exists	exist	VERB
ejpam-3310	189	19	an	an	DET
ejpam-3310	189	20	ac2[0	ac2[0	NOUN
ejpam-3310	189	21	,	,	PUNCT
ejpam-3310	189	22	t	t	PROPN
ejpam-3310	189	23	]	]	PUNCT
ejpam-3310	189	24	function	function	NOUN
ejpam-3310	190	1	f	f	NOUN
ejpam-3310	190	2	:	:	PUNCT
ejpam-3310	190	3	j	j	PROPN
ejpam-3310	190	4	×	×	PROPN
ejpam-3310	190	5	ω→	ω→	NUM
ejpam-3310	190	6	v	v	NOUN
ejpam-3310	190	7	and	and	CCONJ
ejpam-3310	190	8	that	that	SCONJ
ejpam-3310	190	9	f	f	PROPN
ejpam-3310	190	10	and	and	CCONJ
ejpam-3310	190	11	f	f	PROPN
ejpam-3310	190	12	satisfy	satisfy	VERB
ejpam-3310	190	13	the	the	DET
ejpam-3310	190	14	double	double	ADJ
ejpam-3310	190	15	lusin	lusin	NOUN
ejpam-3310	190	16	condition	condition	NOUN
ejpam-3310	190	17	.	.	PUNCT
ejpam-3310	191	1	proof	proof	NOUN
ejpam-3310	191	2	.	.	PUNCT
ejpam-3310	192	1	suppose	suppose	VERB
ejpam-3310	192	2	that	that	SCONJ
ejpam-3310	192	3	f	f	PROPN
ejpam-3310	192	4	is	be	AUX
ejpam-3310	192	5	ih	ih	NOUN
ejpam-3310	192	6	-	-	NOUN
ejpam-3310	192	7	integrable	integrable	ADJ
ejpam-3310	192	8	on	on	ADP
ejpam-3310	192	9	[	[	X
ejpam-3310	192	10	0	0	NUM
ejpam-3310	192	11	,	,	PUNCT
ejpam-3310	192	12	t	t	NOUN
ejpam-3310	192	13	]	]	PUNCT
ejpam-3310	192	14	and	and	CCONJ
ejpam-3310	192	15	let	let	VERB
ejpam-3310	192	16	f	f	PROPN
ejpam-3310	192	17	(	(	PUNCT
ejpam-3310	192	18	u	u	NOUN
ejpam-3310	192	19	,	,	PUNCT
ejpam-3310	192	20	v	v	NOUN
ejpam-3310	192	21	]	]	X
ejpam-3310	192	22	=	=	SYM
ejpam-3310	192	23	(	(	PUNCT
ejpam-3310	192	24	ih	ih	NOUN
ejpam-3310	192	25	)	)	PUNCT
ejpam-3310	192	26	∫	∫	PROPN
ejpam-3310	193	1	v	v	NUM
ejpam-3310	193	2	u	u	NOUN
ejpam-3310	193	3	ft	ft	NOUN
ejpam-3310	193	4	dwt	dwt	NOUN
ejpam-3310	193	5	for	for	ADP
ejpam-3310	193	6	each	each	DET
ejpam-3310	193	7	(	(	PUNCT
ejpam-3310	193	8	u	u	NOUN
ejpam-3310	193	9	,	,	PUNCT
ejpam-3310	193	10	v	v	NOUN
ejpam-3310	193	11	]	]	X
ejpam-3310	193	12	∈	∈	PROPN
ejpam-3310	193	13	j	j	PROPN
ejpam-3310	193	14	.	.	PUNCT
ejpam-3310	194	1	by	by	ADP
ejpam-3310	194	2	theorem	theorem	NOUN
ejpam-3310	194	3	1	1	NUM
ejpam-3310	194	4	,	,	PUNCT
ejpam-3310	194	5	f	f	PROPN
ejpam-3310	194	6	is	be	AUX
ejpam-3310	194	7	ac2[0	ac2[0	ADJ
ejpam-3310	194	8	,	,	PUNCT
ejpam-3310	194	9	t	t	X
ejpam-3310	194	10	]	]	PUNCT
ejpam-3310	194	11	.	.	PUNCT
ejpam-3310	195	1	let	let	VERB
ejpam-3310	195	2	ε	ε	PROPN
ejpam-3310	195	3	>	>	X
ejpam-3310	195	4	0	0	PROPN
ejpam-3310	195	5	.	.	PUNCT
ejpam-3310	196	1	by	by	ADP
ejpam-3310	196	2	theorem	theorem	NOUN
ejpam-3310	196	3	1	1	NUM
ejpam-3310	196	4	and	and	CCONJ
ejpam-3310	196	5	the	the	DET
ejpam-3310	196	6	strong	strong	ADJ
ejpam-3310	196	7	version	version	NOUN
ejpam-3310	196	8	of	of	ADP
ejpam-3310	196	9	saks	sak	NOUN
ejpam-3310	196	10	-	-	PUNCT
ejpam-3310	196	11	henstock	henstock	NUM
ejpam-3310	196	12	lemma	lemma	PROPN
ejpam-3310	196	13	,	,	PUNCT
ejpam-3310	196	14	for	for	ADP
ejpam-3310	196	15	each	each	DET
ejpam-3310	196	16	k	k	PROPN
ejpam-3310	196	17	∈	∈	PROPN
ejpam-3310	196	18	n	n	CCONJ
ejpam-3310	196	19	,	,	PUNCT
ejpam-3310	196	20	there	there	PRON
ejpam-3310	196	21	exists	exist	VERB
ejpam-3310	196	22	a	a	DET
ejpam-3310	196	23	positive	positive	ADJ
ejpam-3310	196	24	function	function	NOUN
ejpam-3310	196	25	δk	δk	ADP
ejpam-3310	196	26	on	on	ADP
ejpam-3310	196	27	[	[	X
ejpam-3310	196	28	0	0	NUM
ejpam-3310	196	29	,	,	PUNCT
ejpam-3310	196	30	t	t	X
ejpam-3310	196	31	]	]	PUNCT
ejpam-3310	196	32	such	such	ADJ
ejpam-3310	196	33	that	that	PRON
ejpam-3310	196	34	for	for	ADP
ejpam-3310	196	35	any	any	DET
ejpam-3310	196	36	δk	δk	ADJ
ejpam-3310	196	37	-	-	ADJ
ejpam-3310	196	38	fine	fine	ADJ
ejpam-3310	196	39	belated	belate	VERB
ejpam-3310	196	40	partial	partial	ADJ
ejpam-3310	196	41	division	division	NOUN
ejpam-3310	196	42	dk	dk	NOUN
ejpam-3310	196	43	=	=	PUNCT
ejpam-3310	196	44	{	{	PUNCT
ejpam-3310	196	45	(	(	PUNCT
ejpam-3310	196	46	(	(	PUNCT
ejpam-3310	196	47	ξ	ξ	X
ejpam-3310	196	48	,	,	PUNCT
ejpam-3310	196	49	v	v	NOUN
ejpam-3310	196	50	]	]	X
ejpam-3310	196	51	,	,	PUNCT
ejpam-3310	196	52	ξ	ξ	X
ejpam-3310	196	53	)	)	PUNCT
ejpam-3310	196	54	}	}	PUNCT
ejpam-3310	196	55	of	of	ADP
ejpam-3310	196	56	[	[	X
ejpam-3310	196	57	0	0	NUM
ejpam-3310	196	58	,	,	PUNCT
ejpam-3310	196	59	t	t	X
ejpam-3310	196	60	]	]	PUNCT
ejpam-3310	196	61	,	,	PUNCT
ejpam-3310	196	62	we	we	PRON
ejpam-3310	196	63	have	have	VERB
ejpam-3310	196	64	(	(	PUNCT
ejpam-3310	196	65	dk	dk	X
ejpam-3310	196	66	)	)	PUNCT
ejpam-3310	197	1	∑	∑	PUNCT
ejpam-3310	197	2	e	e	X
ejpam-3310	197	3	[	[	PUNCT
ejpam-3310	197	4	‖fξ(wv	‖fξ(wv	ADJ
ejpam-3310	197	5	−wξ)−	−wξ)−	NOUN
ejpam-3310	197	6	f	f	PROPN
ejpam-3310	197	7	(	(	PUNCT
ejpam-3310	197	8	ξ	ξ	PROPN
ejpam-3310	197	9	,	,	PUNCT
ejpam-3310	197	10	v]‖2v	v]‖2v	NOUN
ejpam-3310	197	11	]	]	PUNCT
ejpam-3310	198	1	=	=	PUNCT
ejpam-3310	198	2	e	e	X
ejpam-3310	199	1	[	[	X
ejpam-3310	199	2	∥∥∥(dk	∥∥∥(dk	PROPN
ejpam-3310	199	3	)	)	PUNCT
ejpam-3310	199	4	∑	∑	ADP
ejpam-3310	199	5	{	{	PUNCT
ejpam-3310	199	6	fξ(wv	fξ(wv	NOUN
ejpam-3310	200	1	−wξ)−	−wξ)−	PROPN
ejpam-3310	200	2	f	f	X
ejpam-3310	200	3	(	(	PUNCT
ejpam-3310	200	4	ξ	ξ	PROPN
ejpam-3310	200	5	,	,	PUNCT
ejpam-3310	200	6	v	v	NOUN
ejpam-3310	200	7	]	]	X
ejpam-3310	200	8	}	}	PUNCT
ejpam-3310	200	9	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	200	10	v	v	ADP
ejpam-3310	200	11	]	]	PUNCT
ejpam-3310	200	12	<	<	X
ejpam-3310	200	13	ε2(tr	ε2(tr	PROPN
ejpam-3310	200	14	q	q	NOUN
ejpam-3310	200	15	)	)	PUNCT
ejpam-3310	200	16	k	k	PROPN
ejpam-3310	200	17	·	·	PUNCT
ejpam-3310	200	18	2k+2	2k+2	NUM
ejpam-3310	200	19	.	.	PUNCT
ejpam-3310	201	1	moreover	moreover	ADV
ejpam-3310	201	2	,	,	PUNCT
ejpam-3310	201	3	there	there	PRON
ejpam-3310	201	4	exists	exist	VERB
ejpam-3310	201	5	a	a	DET
ejpam-3310	201	6	positive	positive	ADJ
ejpam-3310	201	7	function	function	NOUN
ejpam-3310	201	8	δ′	δ′	NOUN
ejpam-3310	201	9	on	on	ADP
ejpam-3310	201	10	[	[	X
ejpam-3310	201	11	0	0	NUM
ejpam-3310	201	12	,	,	PUNCT
ejpam-3310	201	13	t	t	X
ejpam-3310	201	14	]	]	PUNCT
ejpam-3310	201	15	such	such	ADJ
ejpam-3310	201	16	that	that	SCONJ
ejpam-3310	201	17	for	for	SCONJ
ejpam-3310	201	18	any	any	PRON
ejpam-3310	201	19	δ′-fine	δ′-fine	NUM
ejpam-3310	201	20	belated	belate	VERB
ejpam-3310	201	21	partial	partial	ADJ
ejpam-3310	201	22	division	division	NOUN
ejpam-3310	201	23	d′	d′	X
ejpam-3310	201	24	=	=	PUNCT
ejpam-3310	201	25	{	{	PUNCT
ejpam-3310	201	26	(	(	PUNCT
ejpam-3310	201	27	(	(	PUNCT
ejpam-3310	201	28	ξ	ξ	X
ejpam-3310	201	29	,	,	PUNCT
ejpam-3310	201	30	v	v	NOUN
ejpam-3310	201	31	]	]	X
ejpam-3310	201	32	,	,	PUNCT
ejpam-3310	201	33	ξ	ξ	X
ejpam-3310	201	34	)	)	PUNCT
ejpam-3310	201	35	}	}	PUNCT
ejpam-3310	201	36	of	of	ADP
ejpam-3310	201	37	[	[	X
ejpam-3310	201	38	0	0	NUM
ejpam-3310	201	39	,	,	PUNCT
ejpam-3310	201	40	t	t	X
ejpam-3310	201	41	]	]	PUNCT
ejpam-3310	201	42	,	,	PUNCT
ejpam-3310	201	43	we	we	PRON
ejpam-3310	201	44	have	have	VERB
ejpam-3310	201	45	e	e	PROPN
ejpam-3310	201	46	[	[	X
ejpam-3310	201	47	∥∥∥(d′	∥∥∥(d′	PROPN
ejpam-3310	201	48	)	)	PUNCT
ejpam-3310	201	49	∑	∑	PUNCT
ejpam-3310	201	50	{	{	PUNCT
ejpam-3310	201	51	fξ(wv	fξ(wv	NOUN
ejpam-3310	201	52	−wξ)−	−wξ)−	PROPN
ejpam-3310	201	53	f	f	X
ejpam-3310	201	54	(	(	PUNCT
ejpam-3310	201	55	ξ	ξ	PROPN
ejpam-3310	201	56	,	,	PUNCT
ejpam-3310	201	57	v	v	NOUN
ejpam-3310	201	58	]	]	X
ejpam-3310	201	59	}	}	PUNCT
ejpam-3310	201	60	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	201	61	v	v	ADP
ejpam-3310	201	62	]	]	PUNCT
ejpam-3310	201	63	<	<	X
ejpam-3310	201	64	ε	ε	PROPN
ejpam-3310	201	65	4	4	NUM
ejpam-3310	201	66	.	.	PUNCT
ejpam-3310	201	67	m.	m.	NOUN
ejpam-3310	201	68	labendia	labendia	PROPN
ejpam-3310	201	69	,	,	PUNCT
ejpam-3310	201	70	j.	j.	PROPN
ejpam-3310	201	71	arcede	arcede	PROPN
ejpam-3310	201	72	/	/	SYM
ejpam-3310	201	73	eur	eur	PROPN
ejpam-3310	201	74	.	.	PUNCT
ejpam-3310	202	1	j.	j.	PROPN
ejpam-3310	202	2	pure	pure	PROPN
ejpam-3310	202	3	appl	appl	PROPN
ejpam-3310	202	4	.	.	PROPN
ejpam-3310	202	5	math	math	PROPN
ejpam-3310	202	6	,	,	PUNCT
ejpam-3310	202	7	11	11	NUM
ejpam-3310	202	8	(	(	PUNCT
ejpam-3310	202	9	4	4	NUM
ejpam-3310	202	10	)	)	PUNCT
ejpam-3310	202	11	(	(	PUNCT
ejpam-3310	202	12	2018	2018	NUM
ejpam-3310	202	13	)	)	PUNCT
ejpam-3310	202	14	,	,	PUNCT
ejpam-3310	202	15	1003	1003	NUM
ejpam-3310	202	16	-	-	SYM
ejpam-3310	202	17	1013	1013	NUM
ejpam-3310	202	18	1010	1010	NUM
ejpam-3310	202	19	for	for	ADP
ejpam-3310	202	20	each	each	DET
ejpam-3310	202	21	k	k	PROPN
ejpam-3310	202	22	∈	∈	PROPN
ejpam-3310	202	23	n	n	CCONJ
ejpam-3310	202	24	,	,	PUNCT
ejpam-3310	202	25	let	let	VERB
ejpam-3310	202	26	gk	gk	NOUN
ejpam-3310	202	27	:	:	PUNCT
ejpam-3310	202	28	=	=	X
ejpam-3310	202	29	{	{	PUNCT
ejpam-3310	202	30	t	t	PROPN
ejpam-3310	202	31	∈	∈	PROPN
ejpam-3310	203	1	[	[	X
ejpam-3310	203	2	0	0	NUM
ejpam-3310	203	3	,	,	PUNCT
ejpam-3310	203	4	t	t	NOUN
ejpam-3310	203	5	]	]	PUNCT
ejpam-3310	203	6	:	:	PUNCT
ejpam-3310	203	7	k	k	X
ejpam-3310	203	8	−	−	PROPN
ejpam-3310	203	9	1	1	NUM
ejpam-3310	203	10	≤	≤	NUM
ejpam-3310	203	11	e	e	X
ejpam-3310	203	12	[	[	PUNCT
ejpam-3310	203	13	‖ft‖2l2(uq	‖ft‖2l2(uq	NUM
ejpam-3310	203	14	,	,	PUNCT
ejpam-3310	203	15	v	v	NOUN
ejpam-3310	203	16	)	)	PUNCT
ejpam-3310	203	17	]	]	PUNCT
ejpam-3310	203	18	<	<	X
ejpam-3310	203	19	k	k	X
ejpam-3310	203	20	}	}	PUNCT
ejpam-3310	203	21	.	.	PUNCT
ejpam-3310	204	1	choose	choose	VERB
ejpam-3310	204	2	δ(ξ	δ(ξ	NOUN
ejpam-3310	204	3	)	)	PUNCT
ejpam-3310	204	4	=	=	SYM
ejpam-3310	204	5	min{δ′(ξ	min{δ′(ξ	PROPN
ejpam-3310	204	6	)	)	PUNCT
ejpam-3310	204	7	,	,	PUNCT
ejpam-3310	204	8	δk(ξ	δk(ξ	NUM
ejpam-3310	204	9	)	)	PUNCT
ejpam-3310	204	10	}	}	PUNCT
ejpam-3310	204	11	if	if	SCONJ
ejpam-3310	204	12	ξ	ξ	X
ejpam-3310	204	13	∈	∈	PROPN
ejpam-3310	204	14	gk	gk	NOUN
ejpam-3310	204	15	for	for	ADP
ejpam-3310	204	16	some	some	DET
ejpam-3310	204	17	k	k	PROPN
ejpam-3310	204	18	∈	∈	PROPN
ejpam-3310	204	19	n.	n.	NOUN
ejpam-3310	204	20	let	let	VERB
ejpam-3310	204	21	d	d	NOUN
ejpam-3310	204	22	=	=	PRON
ejpam-3310	204	23	{	{	PUNCT
ejpam-3310	204	24	(	(	PUNCT
ejpam-3310	204	25	(	(	PUNCT
ejpam-3310	204	26	ξ	ξ	X
ejpam-3310	204	27	,	,	PUNCT
ejpam-3310	204	28	v	v	NOUN
ejpam-3310	204	29	]	]	X
ejpam-3310	204	30	,	,	PUNCT
ejpam-3310	204	31	ξ	ξ	X
ejpam-3310	204	32	)	)	PUNCT
ejpam-3310	204	33	}	}	PUNCT
ejpam-3310	204	34	⊆	⊆	NUM
ejpam-3310	204	35	γε	γε	PROPN
ejpam-3310	204	36	be	be	AUX
ejpam-3310	204	37	a	a	DET
ejpam-3310	204	38	δ	δ	NOUN
ejpam-3310	204	39	-	-	PUNCT
ejpam-3310	204	40	fine	fine	ADJ
ejpam-3310	204	41	belated	belate	VERB
ejpam-3310	204	42	partial	partial	ADJ
ejpam-3310	204	43	division	division	NOUN
ejpam-3310	204	44	of	of	ADP
ejpam-3310	204	45	[	[	X
ejpam-3310	204	46	0	0	NUM
ejpam-3310	204	47	,	,	PUNCT
ejpam-3310	204	48	t	t	X
ejpam-3310	204	49	]	]	PUNCT
ejpam-3310	204	50	.	.	PUNCT
ejpam-3310	205	1	for	for	ADP
ejpam-3310	205	2	each	each	DET
ejpam-3310	205	3	k	k	PROPN
ejpam-3310	205	4	∈	∈	PROPN
ejpam-3310	205	5	n	n	CCONJ
ejpam-3310	205	6	,	,	PUNCT
ejpam-3310	205	7	let	let	VERB
ejpam-3310	205	8	dk	dk	PROPN
ejpam-3310	205	9	⊆	⊆	NUM
ejpam-3310	205	10	d	d	X
ejpam-3310	205	11	such	such	ADJ
ejpam-3310	205	12	that	that	SCONJ
ejpam-3310	205	13	each	each	DET
ejpam-3310	205	14	tag	tag	NOUN
ejpam-3310	205	15	in	in	ADP
ejpam-3310	205	16	dk	dk	PROPN
ejpam-3310	205	17	is	be	AUX
ejpam-3310	205	18	in	in	ADP
ejpam-3310	205	19	gk	gk	PROPN
ejpam-3310	205	20	.	.	PUNCT
ejpam-3310	206	1	then	then	ADV
ejpam-3310	206	2	by	by	ADP
ejpam-3310	206	3	lemma	lemma	PROPN
ejpam-3310	206	4	1	1	NUM
ejpam-3310	206	5	,	,	PUNCT
ejpam-3310	206	6	e	e	X
ejpam-3310	207	1	[	[	X
ejpam-3310	207	2	∥∥∥(d	∥∥∥(d	X
ejpam-3310	207	3	)	)	PUNCT
ejpam-3310	207	4	∑	∑	PUNCT
ejpam-3310	207	5	fξ(wv	fξ(wv	VERB
ejpam-3310	207	6	−wξ	−wξ	PROPN
ejpam-3310	207	7	)	)	PUNCT
ejpam-3310	207	8	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	207	9	v	v	NOUN
ejpam-3310	207	10	]	]	X
ejpam-3310	207	11	=	=	PUNCT
ejpam-3310	207	12	(	(	PUNCT
ejpam-3310	207	13	d	d	NOUN
ejpam-3310	207	14	)	)	PUNCT
ejpam-3310	207	15	∑	∑	PUNCT
ejpam-3310	207	16	(	(	PUNCT
ejpam-3310	207	17	v	v	NOUN
ejpam-3310	207	18	−	−	NOUN
ejpam-3310	207	19	ξ)e	ξ)e	PUNCT
ejpam-3310	207	20	[	[	PUNCT
ejpam-3310	207	21	‖fξ‖2l2(uq	‖fξ‖2l2(uq	NUM
ejpam-3310	207	22	,	,	PUNCT
ejpam-3310	207	23	v	v	NOUN
ejpam-3310	207	24	)	)	PUNCT
ejpam-3310	207	25	]	]	PUNCT
ejpam-3310	207	26	≤	≤	NUM
ejpam-3310	207	27	∑	∑	PUNCT
ejpam-3310	207	28	k∈n	k∈n	PROPN
ejpam-3310	207	29	(	(	PUNCT
ejpam-3310	207	30	(	(	PUNCT
ejpam-3310	207	31	dk	dk	NOUN
ejpam-3310	207	32	)	)	PUNCT
ejpam-3310	207	33	∑	∑	PUNCT
ejpam-3310	207	34	(	(	PUNCT
ejpam-3310	207	35	v	v	NOUN
ejpam-3310	207	36	−	−	NOUN
ejpam-3310	207	37	ξ)e	ξ)e	PUNCT
ejpam-3310	207	38	[	[	PUNCT
ejpam-3310	207	39	‖fξ‖2l2(uq	‖fξ‖2l2(uq	NUM
ejpam-3310	207	40	,	,	PUNCT
ejpam-3310	207	41	v	v	NOUN
ejpam-3310	207	42	)	)	PUNCT
ejpam-3310	207	43	]	]	PUNCT
ejpam-3310	207	44	)	)	PUNCT
ejpam-3310	207	45	≤	≤	PROPN
ejpam-3310	207	46	∑	∑	PUNCT
ejpam-3310	207	47	k∈n	k∈n	PROPN
ejpam-3310	207	48	(	(	PUNCT
ejpam-3310	207	49	k	k	X
ejpam-3310	207	50	·	·	PUNCT
ejpam-3310	207	51	(	(	PUNCT
ejpam-3310	207	52	dk	dk	X
ejpam-3310	207	53	)	)	PUNCT
ejpam-3310	207	54	∑	∑	PUNCT
ejpam-3310	207	55	(	(	PUNCT
ejpam-3310	207	56	v	v	ADP
ejpam-3310	207	57	−	−	PROPN
ejpam-3310	207	58	ξ	ξ	NOUN
ejpam-3310	207	59	)	)	PUNCT
ejpam-3310	207	60	)	)	PUNCT
ejpam-3310	207	61	≤	≤	NOUN
ejpam-3310	207	62	∑	∑	PUNCT
ejpam-3310	207	63	k∈n	k∈n	PROPN
ejpam-3310	207	64	(	(	PUNCT
ejpam-3310	207	65	k	k	PROPN
ejpam-3310	207	66	ε(tr	ε(tr	PROPN
ejpam-3310	207	67	q	q	PROPN
ejpam-3310	207	68	)	)	PUNCT
ejpam-3310	207	69	e	e	NOUN
ejpam-3310	208	1	[	[	X
ejpam-3310	208	2	∥∥∥(dk	∥∥∥(dk	PROPN
ejpam-3310	208	3	)	)	PUNCT
ejpam-3310	208	4	∑	∑	ADP
ejpam-3310	208	5	{	{	PUNCT
ejpam-3310	208	6	fξ(wv	fξ(wv	NOUN
ejpam-3310	209	1	−wξ)−	−wξ)−	PROPN
ejpam-3310	209	2	f	f	X
ejpam-3310	209	3	(	(	PUNCT
ejpam-3310	209	4	ξ	ξ	PROPN
ejpam-3310	209	5	,	,	PUNCT
ejpam-3310	209	6	v	v	NOUN
ejpam-3310	209	7	]	]	X
ejpam-3310	209	8	}	}	PUNCT
ejpam-3310	209	9	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	209	10	v	v	ADP
ejpam-3310	209	11	]	]	X
ejpam-3310	209	12	)	)	PUNCT
ejpam-3310	209	13	≤	≤	PROPN
ejpam-3310	209	14	∑	∑	PUNCT
ejpam-3310	209	15	k∈n	k∈n	PROPN
ejpam-3310	209	16	k	k	PROPN
ejpam-3310	209	17	ε(tr	ε(tr	PROPN
ejpam-3310	209	18	q	q	PROPN
ejpam-3310	209	19	)	)	PUNCT
ejpam-3310	209	20	·	·	PUNCT
ejpam-3310	209	21	ε	ε	PROPN
ejpam-3310	209	22	2(tr	2(tr	NUM
ejpam-3310	209	23	q	q	NOUN
ejpam-3310	209	24	)	)	PUNCT
ejpam-3310	209	25	k	k	PROPN
ejpam-3310	209	26	·	·	PUNCT
ejpam-3310	209	27	2k+2	2k+2	NUM
ejpam-3310	209	28	=	=	SYM
ejpam-3310	209	29	ε	ε	PROPN
ejpam-3310	209	30	4	4	NUM
ejpam-3310	209	31	.	.	PUNCT
ejpam-3310	210	1	furthermore	furthermore	ADV
ejpam-3310	210	2	,	,	PUNCT
ejpam-3310	210	3	e	e	X
ejpam-3310	210	4	[	[	X
ejpam-3310	210	5	∥∥∥(d	∥∥∥(d	X
ejpam-3310	210	6	)	)	PUNCT
ejpam-3310	210	7	∑	∑	ADP
ejpam-3310	210	8	f	f	PROPN
ejpam-3310	210	9	(	(	PUNCT
ejpam-3310	210	10	ξ	ξ	PROPN
ejpam-3310	210	11	,	,	PUNCT
ejpam-3310	210	12	v	v	NOUN
ejpam-3310	210	13	]	]	X
ejpam-3310	210	14	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	210	15	v	v	ADP
ejpam-3310	210	16	]	]	PUNCT
ejpam-3310	210	17	≤	≤	NUM
ejpam-3310	210	18	2e	2e	NOUN
ejpam-3310	211	1	[	[	X
ejpam-3310	211	2	∥∥∥(d	∥∥∥(d	X
ejpam-3310	211	3	)	)	PUNCT
ejpam-3310	211	4	∑	∑	PRON
ejpam-3310	211	5	{	{	PUNCT
ejpam-3310	211	6	fξ(wv	fξ(wv	NOUN
ejpam-3310	211	7	−wξ)−	−wξ)−	PROPN
ejpam-3310	211	8	f	f	X
ejpam-3310	211	9	(	(	PUNCT
ejpam-3310	211	10	ξ	ξ	PROPN
ejpam-3310	211	11	,	,	PUNCT
ejpam-3310	211	12	v	v	NOUN
ejpam-3310	211	13	]	]	X
ejpam-3310	211	14	}	}	PUNCT
ejpam-3310	211	15	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	211	16	v	v	NOUN
ejpam-3310	211	17	]	]	PUNCT
ejpam-3310	211	18	+2e	+2e	PUNCT
ejpam-3310	212	1	[	[	X
ejpam-3310	212	2	∥∥∥(d	∥∥∥(d	PUNCT
ejpam-3310	212	3	)	)	PUNCT
ejpam-3310	212	4	∑	∑	PUNCT
ejpam-3310	212	5	fξ(wv	fξ(wv	VERB
ejpam-3310	212	6	−wξ	−wξ	PROPN
ejpam-3310	212	7	)	)	PUNCT
ejpam-3310	212	8	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	212	9	v	v	ADP
ejpam-3310	212	10	]	]	PUNCT
ejpam-3310	212	11	<	<	X
ejpam-3310	212	12	ε	ε	PROPN
ejpam-3310	212	13	2	2	NUM
ejpam-3310	212	14	+	+	CCONJ
ejpam-3310	212	15	ε	ε	PROPN
ejpam-3310	212	16	2	2	NUM
ejpam-3310	212	17	=	=	SYM
ejpam-3310	212	18	ε	ε	PROPN
ejpam-3310	212	19	.	.	PUNCT
ejpam-3310	212	20	conversely	conversely	ADV
ejpam-3310	212	21	,	,	PUNCT
ejpam-3310	212	22	suppose	suppose	VERB
ejpam-3310	212	23	that	that	SCONJ
ejpam-3310	212	24	there	there	PRON
ejpam-3310	212	25	exists	exist	VERB
ejpam-3310	212	26	an	an	DET
ejpam-3310	212	27	ac2[0	ac2[0	NOUN
ejpam-3310	212	28	,	,	PUNCT
ejpam-3310	212	29	t	t	PROPN
ejpam-3310	212	30	]	]	PUNCT
ejpam-3310	212	31	function	function	NOUN
ejpam-3310	212	32	f	f	NOUN
ejpam-3310	212	33	:	:	PUNCT
ejpam-3310	212	34	j	j	PROPN
ejpam-3310	212	35	×ω→	×ω→	PROPN
ejpam-3310	212	36	v	v	NOUN
ejpam-3310	212	37	and	and	CCONJ
ejpam-3310	212	38	that	that	SCONJ
ejpam-3310	212	39	f	f	PROPN
ejpam-3310	212	40	and	and	CCONJ
ejpam-3310	212	41	f	f	PROPN
ejpam-3310	212	42	satisfy	satisfy	VERB
ejpam-3310	212	43	the	the	DET
ejpam-3310	212	44	double	double	ADJ
ejpam-3310	212	45	lusin	lusin	NOUN
ejpam-3310	212	46	condition	condition	NOUN
ejpam-3310	212	47	.	.	PUNCT
ejpam-3310	213	1	let	let	VERB
ejpam-3310	213	2	ε	ε	PROPN
ejpam-3310	213	3	>	>	X
ejpam-3310	213	4	0	0	PROPN
ejpam-3310	213	5	.	.	PUNCT
ejpam-3310	214	1	then	then	ADV
ejpam-3310	214	2	there	there	PRON
ejpam-3310	214	3	exists	exist	VERB
ejpam-3310	214	4	a	a	DET
ejpam-3310	214	5	positive	positive	ADJ
ejpam-3310	214	6	function	function	NOUN
ejpam-3310	214	7	δ	δ	PROPN
ejpam-3310	214	8	on	on	ADP
ejpam-3310	214	9	[	[	X
ejpam-3310	214	10	0	0	NUM
ejpam-3310	214	11	,	,	PUNCT
ejpam-3310	214	12	t	t	X
ejpam-3310	214	13	]	]	PUNCT
ejpam-3310	214	14	such	such	ADJ
ejpam-3310	214	15	that	that	PRON
ejpam-3310	214	16	for	for	ADP
ejpam-3310	214	17	any	any	DET
ejpam-3310	214	18	δ	δ	NOUN
ejpam-3310	214	19	-	-	PUNCT
ejpam-3310	214	20	fine	fine	ADJ
ejpam-3310	214	21	belated	belate	VERB
ejpam-3310	214	22	partial	partial	ADJ
ejpam-3310	214	23	division	division	NOUN
ejpam-3310	214	24	d′	d′	X
ejpam-3310	214	25	=	=	PUNCT
ejpam-3310	214	26	{	{	PUNCT
ejpam-3310	214	27	(	(	PUNCT
ejpam-3310	214	28	(	(	PUNCT
ejpam-3310	214	29	ξ	ξ	X
ejpam-3310	214	30	,	,	PUNCT
ejpam-3310	214	31	v	v	NOUN
ejpam-3310	214	32	]	]	X
ejpam-3310	214	33	,	,	PUNCT
ejpam-3310	214	34	ξ	ξ	X
ejpam-3310	214	35	)	)	PUNCT
ejpam-3310	214	36	}	}	PUNCT
ejpam-3310	214	37	⊆	⊆	NUM
ejpam-3310	214	38	γε	γε	NOUN
ejpam-3310	214	39	of	of	ADP
ejpam-3310	214	40	[	[	X
ejpam-3310	214	41	0	0	NUM
ejpam-3310	214	42	,	,	PUNCT
ejpam-3310	214	43	t	t	X
ejpam-3310	214	44	]	]	PUNCT
ejpam-3310	214	45	,	,	PUNCT
ejpam-3310	214	46	we	we	PRON
ejpam-3310	214	47	have	have	VERB
ejpam-3310	214	48	e	e	X
ejpam-3310	214	49	[	[	PUNCT
ejpam-3310	214	50	‖(d′	‖(d′	PROPN
ejpam-3310	214	51	)	)	PUNCT
ejpam-3310	214	52	∑	∑	PUNCT
ejpam-3310	214	53	fξ(wv	fξ(wv	VERB
ejpam-3310	214	54	−wξ)‖2v	−wξ)‖2v	PROPN
ejpam-3310	214	55	]	]	PUNCT
ejpam-3310	214	56	<	<	X
ejpam-3310	214	57	ε	ε	PROPN
ejpam-3310	214	58	and	and	CCONJ
ejpam-3310	214	59	e	e	X
ejpam-3310	214	60	[	[	PUNCT
ejpam-3310	214	61	‖(d′	‖(d′	PROPN
ejpam-3310	214	62	)	)	PUNCT
ejpam-3310	214	63	∑	∑	PROPN
ejpam-3310	214	64	f	f	PROPN
ejpam-3310	214	65	(	(	PUNCT
ejpam-3310	214	66	ξ	ξ	PROPN
ejpam-3310	214	67	,	,	PUNCT
ejpam-3310	214	68	v]‖2v	v]‖2v	X
ejpam-3310	214	69	]	]	PUNCT
ejpam-3310	214	70	<	<	X
ejpam-3310	214	71	ε	ε	PROPN
ejpam-3310	214	72	.	.	PUNCT
ejpam-3310	215	1	let	let	VERB
ejpam-3310	215	2	d	d	NOUN
ejpam-3310	215	3	=	=	PRON
ejpam-3310	215	4	{	{	PUNCT
ejpam-3310	215	5	(	(	PUNCT
ejpam-3310	215	6	(	(	PUNCT
ejpam-3310	215	7	ξ	ξ	X
ejpam-3310	215	8	,	,	PUNCT
ejpam-3310	215	9	v	v	NOUN
ejpam-3310	215	10	]	]	X
ejpam-3310	215	11	,	,	PUNCT
ejpam-3310	215	12	ξ	ξ	X
ejpam-3310	215	13	)	)	PUNCT
ejpam-3310	215	14	}	}	PUNCT
ejpam-3310	215	15	be	be	VERB
ejpam-3310	215	16	δ	δ	PROPN
ejpam-3310	215	17	-	-	PUNCT
ejpam-3310	215	18	fine	fine	ADJ
ejpam-3310	215	19	belated	belate	VERB
ejpam-3310	215	20	partial	partial	ADJ
ejpam-3310	215	21	division	division	NOUN
ejpam-3310	215	22	of	of	ADP
ejpam-3310	215	23	[	[	X
ejpam-3310	215	24	0	0	NUM
ejpam-3310	215	25	,	,	PUNCT
ejpam-3310	215	26	t	t	X
ejpam-3310	215	27	]	]	PUNCT
ejpam-3310	215	28	.	.	PUNCT
ejpam-3310	216	1	then	then	ADV
ejpam-3310	216	2	e	e	X
ejpam-3310	216	3	[	[	PUNCT
ejpam-3310	216	4	‖(d	‖(d	PROPN
ejpam-3310	216	5	)	)	PUNCT
ejpam-3310	216	6	∑	∑	PUNCT
ejpam-3310	216	7	fξ(wv	fξ(wv	VERB
ejpam-3310	216	8	−wξ)−	−wξ)−	PROPN
ejpam-3310	216	9	f	f	PROPN
ejpam-3310	216	10	(	(	PUNCT
ejpam-3310	216	11	ξ	ξ	PROPN
ejpam-3310	216	12	,	,	PUNCT
ejpam-3310	216	13	v]‖2v	v]‖2v	X
ejpam-3310	216	14	]	]	PUNCT
ejpam-3310	216	15	≤	≤	NUM
ejpam-3310	216	16	2	2	NUM
ejpam-3310	216	17	(	(	PUNCT
ejpam-3310	216	18	(	(	PUNCT
ejpam-3310	216	19	d	d	NOUN
ejpam-3310	216	20	\	\	PROPN
ejpam-3310	216	21	γε	γε	PROPN
ejpam-3310	216	22	)	)	PUNCT
ejpam-3310	216	23	∑√	∑√	PUNCT
ejpam-3310	217	1	e	e	X
ejpam-3310	217	2	[	[	PUNCT
ejpam-3310	217	3	‖fξ(wv	‖fξ(wv	NOUN
ejpam-3310	217	4	−wξ)−	−wξ)−	NOUN
ejpam-3310	217	5	f	f	PROPN
ejpam-3310	217	6	(	(	PUNCT
ejpam-3310	217	7	ξ	ξ	PROPN
ejpam-3310	217	8	,	,	PUNCT
ejpam-3310	217	9	v]‖2v	v]‖2v	X
ejpam-3310	217	10	]	]	PUNCT
ejpam-3310	217	11	)	)	PUNCT
ejpam-3310	217	12	2	2	NUM
ejpam-3310	217	13	+4e	+4e	NUM
ejpam-3310	217	14	[	[	PUNCT
ejpam-3310	217	15	∥∥∥(d	∥∥∥(d	X
ejpam-3310	217	16	∩	∩	X
ejpam-3310	217	17	γε	γε	NOUN
ejpam-3310	217	18	)	)	PUNCT
ejpam-3310	217	19	∑	∑	PUNCT
ejpam-3310	217	20	fξ(wv	fξ(wv	VERB
ejpam-3310	217	21	−wξ	−wξ	PROPN
ejpam-3310	217	22	)	)	PUNCT
ejpam-3310	217	23	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	217	24	v	v	ADP
ejpam-3310	217	25	]	]	PUNCT
ejpam-3310	217	26	+4e	+4e	NUM
ejpam-3310	217	27	[	[	PUNCT
ejpam-3310	217	28	‖(d	‖(d	X
ejpam-3310	217	29	∩	∩	ADJ
ejpam-3310	217	30	γε)f	γε)f	X
ejpam-3310	217	31	(	(	PUNCT
ejpam-3310	217	32	ξ	ξ	PROPN
ejpam-3310	217	33	,	,	PUNCT
ejpam-3310	217	34	v]‖2v	v]‖2v	X
ejpam-3310	217	35	]	]	PUNCT
ejpam-3310	217	36	<	<	X
ejpam-3310	217	37	2	2	NUM
ejpam-3310	217	38	(	(	PUNCT
ejpam-3310	217	39	(	(	PUNCT
ejpam-3310	217	40	d	d	NOUN
ejpam-3310	217	41	\	\	PROPN
ejpam-3310	217	42	γε	γε	PROPN
ejpam-3310	217	43	)	)	PUNCT
ejpam-3310	217	44	∑√	∑√	PUNCT
ejpam-3310	217	45	ε(v	ε(v	PROPN
ejpam-3310	217	46	−	−	PROPN
ejpam-3310	218	1	ξ)tr	ξ)tr	PROPN
ejpam-3310	218	2	q	q	PROPN
ejpam-3310	218	3	)	)	PUNCT
ejpam-3310	218	4	2	2	NUM
ejpam-3310	218	5	+	+	CCONJ
ejpam-3310	218	6	4ε+	4ε+	NUM
ejpam-3310	218	7	4ε	4ε	NUM
ejpam-3310	218	8	=	=	SYM
ejpam-3310	218	9	ε(2	ε(2	PROPN
ejpam-3310	218	10	t	t	NOUN
ejpam-3310	218	11	·	·	PUNCT
ejpam-3310	218	12	tr	tr	VERB
ejpam-3310	218	13	q+	q+	ADP
ejpam-3310	218	14	8)	8)	NUM
ejpam-3310	218	15	.	.	PUNCT
ejpam-3310	218	16	m.	m.	NOUN
ejpam-3310	218	17	labendia	labendia	PROPN
ejpam-3310	218	18	,	,	PUNCT
ejpam-3310	218	19	j.	j.	PROPN
ejpam-3310	218	20	arcede	arcede	PROPN
ejpam-3310	218	21	/	/	SYM
ejpam-3310	218	22	eur	eur	PROPN
ejpam-3310	218	23	.	.	PUNCT
ejpam-3310	219	1	j.	j.	PROPN
ejpam-3310	219	2	pure	pure	PROPN
ejpam-3310	219	3	appl	appl	PROPN
ejpam-3310	219	4	.	.	PROPN
ejpam-3310	219	5	math	math	PROPN
ejpam-3310	219	6	,	,	PUNCT
ejpam-3310	219	7	11	11	NUM
ejpam-3310	219	8	(	(	PUNCT
ejpam-3310	219	9	4	4	NUM
ejpam-3310	219	10	)	)	PUNCT
ejpam-3310	219	11	(	(	PUNCT
ejpam-3310	219	12	2018	2018	NUM
ejpam-3310	219	13	)	)	PUNCT
ejpam-3310	219	14	,	,	PUNCT
ejpam-3310	219	15	1003	1003	NUM
ejpam-3310	219	16	-	-	SYM
ejpam-3310	219	17	1013	1013	NUM
ejpam-3310	219	18	1011	1011	NUM
ejpam-3310	219	19	by	by	ADP
ejpam-3310	219	20	theorem	theorem	NOUN
ejpam-3310	219	21	1	1	NUM
ejpam-3310	219	22	,	,	PUNCT
ejpam-3310	219	23	f	f	PROPN
ejpam-3310	219	24	is	be	AUX
ejpam-3310	219	25	ih	ih	NOUN
ejpam-3310	219	26	-	-	NOUN
ejpam-3310	219	27	integrable	integrable	ADJ
ejpam-3310	219	28	on	on	ADP
ejpam-3310	219	29	[	[	X
ejpam-3310	219	30	0	0	NUM
ejpam-3310	219	31	,	,	PUNCT
ejpam-3310	219	32	t	t	X
ejpam-3310	219	33	]	]	PUNCT
ejpam-3310	219	34	.	.	PUNCT
ejpam-3310	220	1	�	�	PROPN
ejpam-3310	220	2	theorem	theorem	VERB
ejpam-3310	220	3	3	3	X
ejpam-3310	220	4	.	.	PUNCT
ejpam-3310	221	1	let	let	VERB
ejpam-3310	221	2	f	f	NOUN
ejpam-3310	221	3	:	:	PUNCT
ejpam-3310	222	1	[	[	X
ejpam-3310	222	2	0	0	NUM
ejpam-3310	222	3	,	,	PUNCT
ejpam-3310	222	4	t	t	X
ejpam-3310	222	5	]	]	PUNCT
ejpam-3310	222	6	×ω→	×ω→	PROPN
ejpam-3310	222	7	l(u	l(u	PROPN
ejpam-3310	222	8	,	,	PUNCT
ejpam-3310	222	9	v	v	NOUN
ejpam-3310	222	10	)	)	PUNCT
ejpam-3310	222	11	be	be	AUX
ejpam-3310	222	12	an	an	DET
ejpam-3310	222	13	adapted	adapt	VERB
ejpam-3310	222	14	process	process	NOUN
ejpam-3310	222	15	.	.	PUNCT
ejpam-3310	223	1	then	then	ADV
ejpam-3310	223	2	f	f	PROPN
ejpam-3310	223	3	is	be	AUX
ejpam-3310	223	4	ih	ih	NOUN
ejpam-3310	223	5	-	-	NOUN
ejpam-3310	223	6	integrable	integrable	ADJ
ejpam-3310	223	7	on	on	ADP
ejpam-3310	223	8	[	[	X
ejpam-3310	223	9	0	0	NUM
ejpam-3310	223	10	,	,	PUNCT
ejpam-3310	223	11	t	t	X
ejpam-3310	223	12	]	]	PUNCT
ejpam-3310	223	13	if	if	SCONJ
ejpam-3310	223	14	and	and	CCONJ
ejpam-3310	223	15	only	only	ADV
ejpam-3310	223	16	if	if	SCONJ
ejpam-3310	223	17	there	there	PRON
ejpam-3310	223	18	exists	exist	VERB
ejpam-3310	223	19	an	an	DET
ejpam-3310	223	20	ac2[0	ac2[0	NOUN
ejpam-3310	223	21	,	,	PUNCT
ejpam-3310	223	22	t	t	PROPN
ejpam-3310	223	23	]	]	PUNCT
ejpam-3310	223	24	function	function	NOUN
ejpam-3310	224	1	f	f	NOUN
ejpam-3310	224	2	:	:	PUNCT
ejpam-3310	224	3	j	j	PROPN
ejpam-3310	224	4	×ω→	×ω→	PROPN
ejpam-3310	224	5	v	v	ADP
ejpam-3310	224	6	that	that	PRON
ejpam-3310	224	7	satisfies	satisfy	VERB
ejpam-3310	224	8	the	the	DET
ejpam-3310	224	9	double	double	ADJ
ejpam-3310	224	10	lusin	lusin	NOUN
ejpam-3310	224	11	condition	condition	NOUN
ejpam-3310	224	12	.	.	PUNCT
ejpam-3310	225	1	proof	proof	NOUN
ejpam-3310	225	2	.	.	PUNCT
ejpam-3310	226	1	suppose	suppose	VERB
ejpam-3310	226	2	that	that	SCONJ
ejpam-3310	226	3	f	f	PROPN
ejpam-3310	226	4	is	be	AUX
ejpam-3310	226	5	ih	ih	NOUN
ejpam-3310	226	6	-	-	NOUN
ejpam-3310	226	7	integrable	integrable	ADJ
ejpam-3310	226	8	on	on	ADP
ejpam-3310	226	9	[	[	X
ejpam-3310	226	10	0	0	NUM
ejpam-3310	226	11	,	,	PUNCT
ejpam-3310	226	12	t	t	NOUN
ejpam-3310	226	13	]	]	PUNCT
ejpam-3310	226	14	and	and	CCONJ
ejpam-3310	226	15	let	let	VERB
ejpam-3310	226	16	f	f	PROPN
ejpam-3310	226	17	(	(	PUNCT
ejpam-3310	226	18	u	u	NOUN
ejpam-3310	226	19	,	,	PUNCT
ejpam-3310	226	20	v	v	NOUN
ejpam-3310	226	21	]	]	X
ejpam-3310	226	22	=	=	SYM
ejpam-3310	226	23	(	(	PUNCT
ejpam-3310	226	24	ih	ih	NOUN
ejpam-3310	226	25	)	)	PUNCT
ejpam-3310	226	26	∫	∫	PROPN
ejpam-3310	227	1	v	v	NUM
ejpam-3310	227	2	u	u	NOUN
ejpam-3310	227	3	ft	ft	NOUN
ejpam-3310	227	4	dwt	dwt	NOUN
ejpam-3310	227	5	for	for	ADP
ejpam-3310	227	6	each	each	DET
ejpam-3310	227	7	(	(	PUNCT
ejpam-3310	227	8	u	u	NOUN
ejpam-3310	227	9	,	,	PUNCT
ejpam-3310	227	10	v	v	NOUN
ejpam-3310	227	11	]	]	X
ejpam-3310	227	12	∈	∈	PROPN
ejpam-3310	227	13	j	j	PROPN
ejpam-3310	227	14	.	.	PUNCT
ejpam-3310	228	1	by	by	ADP
ejpam-3310	228	2	theorem	theorem	NOUN
ejpam-3310	228	3	1	1	NUM
ejpam-3310	228	4	,	,	PUNCT
ejpam-3310	228	5	f	f	PROPN
ejpam-3310	228	6	is	be	AUX
ejpam-3310	228	7	ac2[0	ac2[0	ADJ
ejpam-3310	228	8	,	,	PUNCT
ejpam-3310	228	9	t	t	X
ejpam-3310	228	10	]	]	PUNCT
ejpam-3310	228	11	.	.	PUNCT
ejpam-3310	229	1	let	let	VERB
ejpam-3310	229	2	ε	ε	PROPN
ejpam-3310	229	3	>	>	X
ejpam-3310	229	4	0	0	PROPN
ejpam-3310	229	5	.	.	PUNCT
ejpam-3310	230	1	by	by	ADP
ejpam-3310	230	2	theorem	theorem	NOUN
ejpam-3310	230	3	1	1	NUM
ejpam-3310	230	4	and	and	CCONJ
ejpam-3310	230	5	the	the	DET
ejpam-3310	230	6	strong	strong	ADJ
ejpam-3310	230	7	version	version	NOUN
ejpam-3310	230	8	of	of	ADP
ejpam-3310	230	9	saks	sak	NOUN
ejpam-3310	230	10	-	-	PUNCT
ejpam-3310	230	11	henstock	henstock	NUM
ejpam-3310	230	12	lemma	lemma	PROPN
ejpam-3310	230	13	,	,	PUNCT
ejpam-3310	230	14	there	there	PRON
ejpam-3310	230	15	exists	exist	VERB
ejpam-3310	230	16	a	a	DET
ejpam-3310	230	17	positive	positive	ADJ
ejpam-3310	230	18	function	function	NOUN
ejpam-3310	230	19	δ	δ	PROPN
ejpam-3310	230	20	on	on	ADP
ejpam-3310	230	21	[	[	X
ejpam-3310	230	22	0	0	NUM
ejpam-3310	230	23	,	,	PUNCT
ejpam-3310	230	24	t	t	X
ejpam-3310	230	25	]	]	PUNCT
ejpam-3310	230	26	such	such	ADJ
ejpam-3310	230	27	that	that	PRON
ejpam-3310	230	28	for	for	ADP
ejpam-3310	230	29	any	any	DET
ejpam-3310	230	30	δ	δ	NOUN
ejpam-3310	230	31	-	-	PUNCT
ejpam-3310	230	32	fine	fine	ADJ
ejpam-3310	230	33	belated	belate	VERB
ejpam-3310	230	34	partial	partial	ADJ
ejpam-3310	230	35	division	division	NOUN
ejpam-3310	230	36	d′	d′	X
ejpam-3310	230	37	=	=	PUNCT
ejpam-3310	230	38	{	{	PUNCT
ejpam-3310	230	39	(	(	PUNCT
ejpam-3310	230	40	(	(	PUNCT
ejpam-3310	230	41	ξ	ξ	X
ejpam-3310	230	42	,	,	PUNCT
ejpam-3310	230	43	v	v	NOUN
ejpam-3310	230	44	]	]	X
ejpam-3310	230	45	,	,	PUNCT
ejpam-3310	230	46	ξ	ξ	X
ejpam-3310	230	47	)	)	PUNCT
ejpam-3310	230	48	}	}	PUNCT
ejpam-3310	230	49	of	of	ADP
ejpam-3310	230	50	[	[	X
ejpam-3310	230	51	0	0	NUM
ejpam-3310	230	52	,	,	PUNCT
ejpam-3310	230	53	t	t	X
ejpam-3310	230	54	]	]	PUNCT
ejpam-3310	230	55	,	,	PUNCT
ejpam-3310	230	56	we	we	PRON
ejpam-3310	230	57	have	have	VERB
ejpam-3310	230	58	(	(	PUNCT
ejpam-3310	230	59	d′	d′	NUM
ejpam-3310	230	60	)	)	PUNCT
ejpam-3310	230	61	∑	∑	PUNCT
ejpam-3310	231	1	e	e	X
ejpam-3310	231	2	[	[	PUNCT
ejpam-3310	231	3	‖fξ(wv	‖fξ(wv	ADJ
ejpam-3310	231	4	−wξ)−	−wξ)−	NOUN
ejpam-3310	231	5	f	f	PROPN
ejpam-3310	231	6	(	(	PUNCT
ejpam-3310	231	7	ξ	ξ	PROPN
ejpam-3310	231	8	,	,	PUNCT
ejpam-3310	231	9	v]‖2v	v]‖2v	NOUN
ejpam-3310	231	10	]	]	PUNCT
ejpam-3310	232	1	=	=	PUNCT
ejpam-3310	232	2	e	e	X
ejpam-3310	232	3	[	[	X
ejpam-3310	232	4	∥∥∥(d′	∥∥∥(d′	PROPN
ejpam-3310	232	5	)	)	PUNCT
ejpam-3310	232	6	∑	∑	PUNCT
ejpam-3310	232	7	{	{	PUNCT
ejpam-3310	232	8	fξ(wv	fξ(wv	NOUN
ejpam-3310	232	9	−wξ)−	−wξ)−	PROPN
ejpam-3310	232	10	f	f	X
ejpam-3310	232	11	(	(	PUNCT
ejpam-3310	232	12	ξ	ξ	PROPN
ejpam-3310	232	13	,	,	PUNCT
ejpam-3310	232	14	v	v	NOUN
ejpam-3310	232	15	]	]	X
ejpam-3310	232	16	}	}	PUNCT
ejpam-3310	232	17	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	232	18	v	v	ADP
ejpam-3310	232	19	]	]	PUNCT
ejpam-3310	232	20	<	<	X
ejpam-3310	232	21	ε2	ε2	PROPN
ejpam-3310	232	22	.	.	PUNCT
ejpam-3310	233	1	let	let	VERB
ejpam-3310	233	2	d	d	NOUN
ejpam-3310	233	3	=	=	PRON
ejpam-3310	233	4	{	{	PUNCT
ejpam-3310	233	5	(	(	PUNCT
ejpam-3310	233	6	(	(	PUNCT
ejpam-3310	233	7	ξ	ξ	X
ejpam-3310	233	8	,	,	PUNCT
ejpam-3310	233	9	v	v	NOUN
ejpam-3310	233	10	]	]	X
ejpam-3310	233	11	,	,	PUNCT
ejpam-3310	233	12	ξ	ξ	X
ejpam-3310	233	13	)	)	PUNCT
ejpam-3310	233	14	}	}	PUNCT
ejpam-3310	233	15	⊆	⊆	NUM
ejpam-3310	233	16	γε	γε	PROPN
ejpam-3310	233	17	be	be	AUX
ejpam-3310	233	18	a	a	DET
ejpam-3310	233	19	δ	δ	NOUN
ejpam-3310	233	20	-	-	PUNCT
ejpam-3310	233	21	fine	fine	ADJ
ejpam-3310	233	22	belated	belate	VERB
ejpam-3310	233	23	partial	partial	ADJ
ejpam-3310	233	24	division	division	NOUN
ejpam-3310	233	25	of	of	ADP
ejpam-3310	233	26	[	[	X
ejpam-3310	233	27	0	0	NUM
ejpam-3310	233	28	,	,	PUNCT
ejpam-3310	233	29	t	t	X
ejpam-3310	233	30	]	]	PUNCT
ejpam-3310	233	31	.	.	PUNCT
ejpam-3310	234	1	then	then	ADV
ejpam-3310	234	2	by	by	ADP
ejpam-3310	234	3	lemma	lemma	PROPN
ejpam-3310	234	4	1	1	NUM
ejpam-3310	234	5	,	,	PUNCT
ejpam-3310	234	6	e	e	X
ejpam-3310	235	1	[	[	X
ejpam-3310	235	2	∥∥∥(d	∥∥∥(d	X
ejpam-3310	235	3	)	)	PUNCT
ejpam-3310	235	4	∑	∑	PUNCT
ejpam-3310	235	5	(	(	PUNCT
ejpam-3310	235	6	wv	wv	PROPN
ejpam-3310	235	7	−wξ	−wξ	PROPN
ejpam-3310	235	8	)	)	PUNCT
ejpam-3310	236	1	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	236	2	v	v	NOUN
ejpam-3310	236	3	]	]	X
ejpam-3310	236	4	=	=	PUNCT
ejpam-3310	236	5	(	(	PUNCT
ejpam-3310	236	6	d	d	NOUN
ejpam-3310	236	7	)	)	PUNCT
ejpam-3310	236	8	∑	∑	PUNCT
ejpam-3310	236	9	(	(	PUNCT
ejpam-3310	236	10	v	v	ADP
ejpam-3310	236	11	−	−	PROPN
ejpam-3310	237	1	ξ)tr	ξ)tr	PROPN
ejpam-3310	237	2	q	q	PROPN
ejpam-3310	237	3	≤	≤	ADJ
ejpam-3310	237	4	1	1	NUM
ejpam-3310	237	5	ε	ε	PROPN
ejpam-3310	237	6	(	(	PUNCT
ejpam-3310	237	7	d	d	NOUN
ejpam-3310	237	8	)	)	PUNCT
ejpam-3310	237	9	∑	∑	PUNCT
ejpam-3310	237	10	e	e	X
ejpam-3310	237	11	[	[	PUNCT
ejpam-3310	237	12	‖fξ(wv	‖fξ(wv	ADJ
ejpam-3310	237	13	−wξ)−	−wξ)−	NOUN
ejpam-3310	237	14	f	f	PROPN
ejpam-3310	237	15	(	(	PUNCT
ejpam-3310	237	16	ξ	ξ	PROPN
ejpam-3310	237	17	,	,	PUNCT
ejpam-3310	237	18	v]‖2v	v]‖2v	X
ejpam-3310	237	19	]	]	PUNCT
ejpam-3310	237	20	<	<	X
ejpam-3310	237	21	1	1	NUM
ejpam-3310	237	22	ε	ε	PROPN
ejpam-3310	237	23	·	·	PUNCT
ejpam-3310	237	24	ε2	ε2	NOUN
ejpam-3310	237	25	=	=	SYM
ejpam-3310	237	26	ε	ε	PROPN
ejpam-3310	237	27	.	.	PUNCT
ejpam-3310	237	28	conversely	conversely	ADV
ejpam-3310	237	29	,	,	PUNCT
ejpam-3310	237	30	suppose	suppose	VERB
ejpam-3310	237	31	that	that	SCONJ
ejpam-3310	237	32	there	there	PRON
ejpam-3310	237	33	exists	exist	VERB
ejpam-3310	237	34	an	an	DET
ejpam-3310	237	35	ac2[0	ac2[0	NOUN
ejpam-3310	237	36	,	,	PUNCT
ejpam-3310	237	37	t	t	PROPN
ejpam-3310	237	38	]	]	PUNCT
ejpam-3310	237	39	function	function	NOUN
ejpam-3310	237	40	f	f	NOUN
ejpam-3310	237	41	:	:	PUNCT
ejpam-3310	237	42	j	j	PROPN
ejpam-3310	237	43	×	×	PROPN
ejpam-3310	237	44	ω	ω	PROPN
ejpam-3310	237	45	→	→	SYM
ejpam-3310	237	46	v	v	PROPN
ejpam-3310	237	47	that	that	PRON
ejpam-3310	237	48	satisfies	satisfy	VERB
ejpam-3310	237	49	the	the	DET
ejpam-3310	237	50	double	double	ADJ
ejpam-3310	237	51	lusin	lusin	NOUN
ejpam-3310	237	52	condition	condition	NOUN
ejpam-3310	237	53	.	.	PUNCT
ejpam-3310	238	1	let	let	VERB
ejpam-3310	238	2	ε	ε	PROPN
ejpam-3310	238	3	>	>	X
ejpam-3310	238	4	0	0	PROPN
ejpam-3310	238	5	.	.	PUNCT
ejpam-3310	239	1	by	by	ADP
ejpam-3310	239	2	theorem	theorem	NOUN
ejpam-3310	239	3	1	1	NUM
ejpam-3310	239	4	and	and	CCONJ
ejpam-3310	239	5	the	the	DET
ejpam-3310	239	6	strong	strong	ADJ
ejpam-3310	239	7	version	version	NOUN
ejpam-3310	239	8	of	of	ADP
ejpam-3310	239	9	henstock	henstock	PROPN
ejpam-3310	239	10	lemma	lemma	PROPN
ejpam-3310	239	11	,	,	PUNCT
ejpam-3310	239	12	for	for	ADP
ejpam-3310	239	13	each	each	DET
ejpam-3310	239	14	k	k	PROPN
ejpam-3310	239	15	∈	∈	PROPN
ejpam-3310	239	16	n	n	CCONJ
ejpam-3310	239	17	,	,	PUNCT
ejpam-3310	239	18	there	there	PRON
ejpam-3310	239	19	exists	exist	VERB
ejpam-3310	239	20	a	a	DET
ejpam-3310	239	21	positive	positive	ADJ
ejpam-3310	239	22	function	function	NOUN
ejpam-3310	239	23	δk	δk	ADP
ejpam-3310	239	24	on	on	ADP
ejpam-3310	239	25	[	[	X
ejpam-3310	239	26	0	0	NUM
ejpam-3310	239	27	,	,	PUNCT
ejpam-3310	239	28	t	t	X
ejpam-3310	239	29	]	]	PUNCT
ejpam-3310	239	30	such	such	ADJ
ejpam-3310	239	31	that	that	PRON
ejpam-3310	239	32	for	for	ADP
ejpam-3310	239	33	any	any	DET
ejpam-3310	239	34	δk	δk	ADJ
ejpam-3310	239	35	-	-	ADJ
ejpam-3310	239	36	fine	fine	ADJ
ejpam-3310	239	37	belated	belate	VERB
ejpam-3310	239	38	partial	partial	ADJ
ejpam-3310	239	39	division	division	NOUN
ejpam-3310	239	40	dk	dk	NOUN
ejpam-3310	239	41	=	=	PUNCT
ejpam-3310	239	42	{	{	PUNCT
ejpam-3310	239	43	(	(	PUNCT
ejpam-3310	239	44	(	(	PUNCT
ejpam-3310	239	45	ξ	ξ	X
ejpam-3310	239	46	,	,	PUNCT
ejpam-3310	239	47	v	v	NOUN
ejpam-3310	239	48	]	]	X
ejpam-3310	239	49	,	,	PUNCT
ejpam-3310	239	50	ξ	ξ	X
ejpam-3310	239	51	)	)	PUNCT
ejpam-3310	239	52	}	}	PUNCT
ejpam-3310	239	53	of	of	ADP
ejpam-3310	239	54	[	[	X
ejpam-3310	239	55	0	0	NUM
ejpam-3310	239	56	,	,	PUNCT
ejpam-3310	239	57	t	t	X
ejpam-3310	239	58	]	]	PUNCT
ejpam-3310	239	59	,	,	PUNCT
ejpam-3310	239	60	we	we	PRON
ejpam-3310	239	61	have	have	VERB
ejpam-3310	239	62	(	(	PUNCT
ejpam-3310	239	63	dk	dk	X
ejpam-3310	239	64	)	)	PUNCT
ejpam-3310	240	1	∑	∑	PUNCT
ejpam-3310	240	2	e	e	X
ejpam-3310	240	3	[	[	PUNCT
ejpam-3310	240	4	‖fξ(wv	‖fξ(wv	ADJ
ejpam-3310	240	5	−wξ)−	−wξ)−	NOUN
ejpam-3310	240	6	f	f	PROPN
ejpam-3310	240	7	(	(	PUNCT
ejpam-3310	240	8	ξ	ξ	PROPN
ejpam-3310	240	9	,	,	PUNCT
ejpam-3310	240	10	v]‖2v	v]‖2v	NOUN
ejpam-3310	240	11	]	]	PUNCT
ejpam-3310	241	1	=	=	PUNCT
ejpam-3310	241	2	e	e	X
ejpam-3310	242	1	[	[	X
ejpam-3310	242	2	∥∥∥(dk	∥∥∥(dk	PROPN
ejpam-3310	242	3	)	)	PUNCT
ejpam-3310	242	4	∑	∑	ADP
ejpam-3310	242	5	{	{	PUNCT
ejpam-3310	242	6	fξ(wv	fξ(wv	NOUN
ejpam-3310	243	1	−wξ)−	−wξ)−	PROPN
ejpam-3310	243	2	f	f	X
ejpam-3310	243	3	(	(	PUNCT
ejpam-3310	243	4	ξ	ξ	PROPN
ejpam-3310	243	5	,	,	PUNCT
ejpam-3310	243	6	v	v	NOUN
ejpam-3310	243	7	]	]	X
ejpam-3310	243	8	}	}	PUNCT
ejpam-3310	243	9	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	243	10	v	v	ADP
ejpam-3310	243	11	]	]	PUNCT
ejpam-3310	243	12	<	<	X
ejpam-3310	243	13	ε2(tr	ε2(tr	PROPN
ejpam-3310	243	14	q	q	NOUN
ejpam-3310	243	15	)	)	PUNCT
ejpam-3310	243	16	k	k	PROPN
ejpam-3310	243	17	·	·	PUNCT
ejpam-3310	243	18	2k+1	2k+1	X
ejpam-3310	243	19	.	.	PUNCT
ejpam-3310	244	1	for	for	ADP
ejpam-3310	244	2	each	each	DET
ejpam-3310	244	3	k	k	PROPN
ejpam-3310	244	4	∈	∈	PROPN
ejpam-3310	244	5	n	n	CCONJ
ejpam-3310	244	6	,	,	PUNCT
ejpam-3310	244	7	let	let	VERB
ejpam-3310	244	8	gk	gk	NOUN
ejpam-3310	244	9	:	:	PUNCT
ejpam-3310	244	10	=	=	X
ejpam-3310	244	11	{	{	PUNCT
ejpam-3310	244	12	t	t	PROPN
ejpam-3310	244	13	∈	∈	PROPN
ejpam-3310	245	1	[	[	X
ejpam-3310	245	2	0	0	NUM
ejpam-3310	245	3	,	,	PUNCT
ejpam-3310	245	4	t	t	NOUN
ejpam-3310	245	5	]	]	PUNCT
ejpam-3310	245	6	:	:	PUNCT
ejpam-3310	245	7	k	k	X
ejpam-3310	245	8	−	−	PROPN
ejpam-3310	245	9	1	1	NUM
ejpam-3310	245	10	≤	≤	NUM
ejpam-3310	245	11	e	e	X
ejpam-3310	245	12	[	[	PUNCT
ejpam-3310	245	13	‖ft‖2l2(uq	‖ft‖2l2(uq	NUM
ejpam-3310	245	14	,	,	PUNCT
ejpam-3310	245	15	v	v	NOUN
ejpam-3310	245	16	)	)	PUNCT
ejpam-3310	245	17	]	]	PUNCT
ejpam-3310	245	18	<	<	X
ejpam-3310	245	19	k	k	X
ejpam-3310	245	20	}	}	PUNCT
ejpam-3310	245	21	.	.	PUNCT
ejpam-3310	246	1	choose	choose	VERB
ejpam-3310	246	2	δ(ξ	δ(ξ	NOUN
ejpam-3310	246	3	)	)	PUNCT
ejpam-3310	246	4	≤	≤	NOUN
ejpam-3310	246	5	δk(ξ	δk(ξ	PUNCT
ejpam-3310	246	6	)	)	PUNCT
ejpam-3310	246	7	if	if	SCONJ
ejpam-3310	246	8	ξ	ξ	X
ejpam-3310	246	9	∈	∈	PROPN
ejpam-3310	246	10	gk	gk	NOUN
ejpam-3310	246	11	for	for	ADP
ejpam-3310	246	12	some	some	DET
ejpam-3310	246	13	k	k	PROPN
ejpam-3310	246	14	∈	∈	PROPN
ejpam-3310	246	15	n.	n.	NOUN
ejpam-3310	246	16	let	let	VERB
ejpam-3310	246	17	d	d	NOUN
ejpam-3310	246	18	=	=	PRON
ejpam-3310	246	19	{	{	PUNCT
ejpam-3310	246	20	(	(	PUNCT
ejpam-3310	246	21	(	(	PUNCT
ejpam-3310	246	22	ξ	ξ	X
ejpam-3310	246	23	,	,	PUNCT
ejpam-3310	246	24	v	v	NOUN
ejpam-3310	246	25	]	]	X
ejpam-3310	246	26	,	,	PUNCT
ejpam-3310	246	27	ξ	ξ	X
ejpam-3310	246	28	)	)	PUNCT
ejpam-3310	246	29	}	}	PUNCT
ejpam-3310	246	30	⊆	⊆	NUM
ejpam-3310	246	31	γε	γε	PROPN
ejpam-3310	246	32	be	be	AUX
ejpam-3310	246	33	a	a	DET
ejpam-3310	246	34	δ	δ	NOUN
ejpam-3310	246	35	-	-	PUNCT
ejpam-3310	246	36	fine	fine	ADJ
ejpam-3310	246	37	belated	belate	VERB
ejpam-3310	246	38	partial	partial	ADJ
ejpam-3310	246	39	division	division	NOUN
ejpam-3310	246	40	of	of	ADP
ejpam-3310	246	41	[	[	X
ejpam-3310	246	42	0	0	NUM
ejpam-3310	246	43	,	,	PUNCT
ejpam-3310	246	44	t	t	X
ejpam-3310	246	45	]	]	PUNCT
ejpam-3310	246	46	.	.	PUNCT
ejpam-3310	247	1	for	for	ADP
ejpam-3310	247	2	each	each	DET
ejpam-3310	247	3	k	k	PROPN
ejpam-3310	247	4	∈	∈	PROPN
ejpam-3310	247	5	n	n	CCONJ
ejpam-3310	247	6	,	,	PUNCT
ejpam-3310	247	7	let	let	VERB
ejpam-3310	247	8	dk	dk	PROPN
ejpam-3310	247	9	⊆	⊆	NUM
ejpam-3310	247	10	d	d	X
ejpam-3310	247	11	such	such	ADJ
ejpam-3310	247	12	that	that	SCONJ
ejpam-3310	247	13	each	each	DET
ejpam-3310	247	14	tag	tag	NOUN
ejpam-3310	247	15	in	in	ADP
ejpam-3310	247	16	dk	dk	PROPN
ejpam-3310	247	17	is	be	AUX
ejpam-3310	247	18	in	in	ADP
ejpam-3310	247	19	gk	gk	PROPN
ejpam-3310	247	20	.	.	PUNCT
ejpam-3310	248	1	then	then	ADV
ejpam-3310	248	2	by	by	ADP
ejpam-3310	248	3	lemma	lemma	PROPN
ejpam-3310	248	4	1	1	NUM
ejpam-3310	248	5	,	,	PUNCT
ejpam-3310	248	6	e	e	X
ejpam-3310	249	1	[	[	X
ejpam-3310	249	2	∥∥∥(d	∥∥∥(d	X
ejpam-3310	249	3	)	)	PUNCT
ejpam-3310	249	4	∑	∑	PUNCT
ejpam-3310	249	5	fξ(wv	fξ(wv	VERB
ejpam-3310	249	6	−wξ	−wξ	PROPN
ejpam-3310	249	7	)	)	PUNCT
ejpam-3310	249	8	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	249	9	v	v	NOUN
ejpam-3310	249	10	]	]	X
ejpam-3310	249	11	=	=	PUNCT
ejpam-3310	249	12	(	(	PUNCT
ejpam-3310	249	13	d	d	NOUN
ejpam-3310	249	14	)	)	PUNCT
ejpam-3310	249	15	∑	∑	PUNCT
ejpam-3310	249	16	(	(	PUNCT
ejpam-3310	249	17	v	v	NOUN
ejpam-3310	249	18	−	−	NOUN
ejpam-3310	249	19	ξ)e	ξ)e	PUNCT
ejpam-3310	249	20	[	[	PUNCT
ejpam-3310	249	21	‖fξ‖2l2(uq	‖fξ‖2l2(uq	NUM
ejpam-3310	249	22	,	,	PUNCT
ejpam-3310	249	23	v	v	NOUN
ejpam-3310	249	24	)	)	PUNCT
ejpam-3310	249	25	]	]	PUNCT
ejpam-3310	249	26	≤	≤	NUM
ejpam-3310	249	27	∑	∑	PUNCT
ejpam-3310	249	28	k∈n	k∈n	PROPN
ejpam-3310	249	29	(	(	PUNCT
ejpam-3310	249	30	(	(	PUNCT
ejpam-3310	249	31	dk	dk	NOUN
ejpam-3310	249	32	)	)	PUNCT
ejpam-3310	249	33	∑	∑	PUNCT
ejpam-3310	249	34	(	(	PUNCT
ejpam-3310	249	35	v	v	NOUN
ejpam-3310	249	36	−	−	NOUN
ejpam-3310	249	37	ξ)e	ξ)e	PUNCT
ejpam-3310	249	38	[	[	PUNCT
ejpam-3310	249	39	‖fξ‖2l2(uq	‖fξ‖2l2(uq	NUM
ejpam-3310	249	40	,	,	PUNCT
ejpam-3310	249	41	v	v	NOUN
ejpam-3310	249	42	)	)	PUNCT
ejpam-3310	249	43	]	]	PUNCT
ejpam-3310	249	44	)	)	PUNCT
ejpam-3310	249	45	≤	≤	PROPN
ejpam-3310	249	46	∑	∑	PUNCT
ejpam-3310	249	47	k∈n	k∈n	PROPN
ejpam-3310	249	48	(	(	PUNCT
ejpam-3310	249	49	k	k	X
ejpam-3310	249	50	·	·	PUNCT
ejpam-3310	249	51	(	(	PUNCT
ejpam-3310	249	52	dk	dk	X
ejpam-3310	249	53	)	)	PUNCT
ejpam-3310	249	54	∑	∑	PUNCT
ejpam-3310	249	55	(	(	PUNCT
ejpam-3310	249	56	v	v	ADP
ejpam-3310	249	57	−	−	PROPN
ejpam-3310	249	58	ξ	ξ	NOUN
ejpam-3310	249	59	)	)	PUNCT
ejpam-3310	249	60	)	)	PUNCT
ejpam-3310	249	61	references	reference	NOUN
ejpam-3310	249	62	1012	1012	NUM
ejpam-3310	249	63	≤	≤	NUM
ejpam-3310	249	64	∑	∑	PUNCT
ejpam-3310	249	65	k∈n	k∈n	PROPN
ejpam-3310	249	66	(	(	PUNCT
ejpam-3310	249	67	k	k	PROPN
ejpam-3310	249	68	ε(tr	ε(tr	PROPN
ejpam-3310	249	69	q	q	PROPN
ejpam-3310	249	70	)	)	PUNCT
ejpam-3310	249	71	e	e	NOUN
ejpam-3310	250	1	[	[	X
ejpam-3310	250	2	∥∥∥(dk	∥∥∥(dk	PROPN
ejpam-3310	250	3	)	)	PUNCT
ejpam-3310	250	4	∑	∑	ADP
ejpam-3310	250	5	{	{	PUNCT
ejpam-3310	250	6	fξ(wv	fξ(wv	NOUN
ejpam-3310	251	1	−wξ)−	−wξ)−	PROPN
ejpam-3310	251	2	f	f	X
ejpam-3310	251	3	(	(	PUNCT
ejpam-3310	251	4	ξ	ξ	PROPN
ejpam-3310	251	5	,	,	PUNCT
ejpam-3310	251	6	v	v	NOUN
ejpam-3310	251	7	]	]	X
ejpam-3310	251	8	}	}	PUNCT
ejpam-3310	251	9	∥∥∥2	∥∥∥2	NOUN
ejpam-3310	251	10	v	v	ADP
ejpam-3310	251	11	]	]	X
ejpam-3310	251	12	)	)	PUNCT
ejpam-3310	251	13	≤	≤	PROPN
ejpam-3310	251	14	∑	∑	PUNCT
ejpam-3310	251	15	k∈n	k∈n	PROPN
ejpam-3310	251	16	k	k	PROPN
ejpam-3310	251	17	ε(tr	ε(tr	PROPN
ejpam-3310	251	18	q	q	PROPN
ejpam-3310	251	19	)	)	PUNCT
ejpam-3310	251	20	·	·	PUNCT
ejpam-3310	251	21	ε	ε	PROPN
ejpam-3310	251	22	2(tr	2(tr	NUM
ejpam-3310	251	23	q	q	NOUN
ejpam-3310	251	24	)	)	PUNCT
ejpam-3310	251	25	k	k	PROPN
ejpam-3310	251	26	·	·	PUNCT
ejpam-3310	251	27	2k+1	2k+1	NOUN
ejpam-3310	251	28	<	<	X
ejpam-3310	251	29	ε	ε	PROPN
ejpam-3310	251	30	.	.	PUNCT
ejpam-3310	251	31	by	by	ADP
ejpam-3310	251	32	theorem	theorem	NOUN
ejpam-3310	251	33	2	2	NUM
ejpam-3310	251	34	,	,	PUNCT
ejpam-3310	251	35	f	f	PROPN
ejpam-3310	251	36	is	be	AUX
ejpam-3310	251	37	ih	ih	NOUN
ejpam-3310	251	38	-	-	NOUN
ejpam-3310	251	39	integrable	integrable	ADJ
ejpam-3310	251	40	on	on	ADP
ejpam-3310	251	41	[	[	X
ejpam-3310	251	42	0	0	NUM
ejpam-3310	251	43	,	,	PUNCT
ejpam-3310	251	44	t	t	X
ejpam-3310	251	45	]	]	PUNCT
ejpam-3310	251	46	.	.	PUNCT
ejpam-3310	252	1	�	�	PROPN
ejpam-3310	252	2	we	we	PRON
ejpam-3310	252	3	remark	remark	VERB
ejpam-3310	252	4	that	that	SCONJ
ejpam-3310	252	5	in	in	ADP
ejpam-3310	252	6	theorem	theorem	NOUN
ejpam-3310	252	7	2	2	NUM
ejpam-3310	252	8	,	,	PUNCT
ejpam-3310	252	9	the	the	DET
ejpam-3310	252	10	double	double	ADJ
ejpam-3310	252	11	lusin	lusin	NOUN
ejpam-3310	252	12	condition	condition	NOUN
ejpam-3310	252	13	involving	involve	VERB
ejpam-3310	252	14	the	the	DET
ejpam-3310	252	15	process	process	NOUN
ejpam-3310	252	16	f	f	NOUN
ejpam-3310	252	17	and	and	CCONJ
ejpam-3310	252	18	the	the	DET
ejpam-3310	252	19	function	function	NOUN
ejpam-3310	252	20	f	f	PROPN
ejpam-3310	252	21	may	may	AUX
ejpam-3310	252	22	be	be	AUX
ejpam-3310	252	23	restated	restate	VERB
ejpam-3310	252	24	as	as	ADP
ejpam-3310	252	25	the	the	DET
ejpam-3310	252	26	double	double	ADJ
ejpam-3310	252	27	lusin	lusin	NOUN
ejpam-3310	252	28	condition	condition	NOUN
ejpam-3310	252	29	involving	involve	VERB
ejpam-3310	252	30	the	the	DET
ejpam-3310	252	31	function	function	NOUN
ejpam-3310	252	32	f	f	NOUN
ejpam-3310	252	33	only	only	ADV
ejpam-3310	252	34	.	.	PUNCT
ejpam-3310	253	1	4	4	X
ejpam-3310	253	2	.	.	X
ejpam-3310	253	3	conclusion	conclusion	NOUN
ejpam-3310	253	4	and	and	CCONJ
ejpam-3310	253	5	recommendation	recommendation	NOUN
ejpam-3310	253	6	in	in	ADP
ejpam-3310	253	7	this	this	DET
ejpam-3310	253	8	paper	paper	NOUN
ejpam-3310	253	9	,	,	PUNCT
ejpam-3310	253	10	we	we	PRON
ejpam-3310	253	11	formulate	formulate	VERB
ejpam-3310	253	12	an	an	DET
ejpam-3310	253	13	equivalent	equivalent	ADJ
ejpam-3310	253	14	definition	definition	NOUN
ejpam-3310	253	15	of	of	ADP
ejpam-3310	253	16	the	the	DET
ejpam-3310	253	17	itô-henstock	itô-henstock	NOUN
ejpam-3310	253	18	integral	integral	ADJ
ejpam-3310	253	19	of	of	ADP
ejpam-3310	253	20	an	an	DET
ejpam-3310	253	21	operator	operator	NOUN
ejpam-3310	253	22	-	-	PUNCT
ejpam-3310	253	23	valued	value	VERB
ejpam-3310	253	24	stochastic	stochastic	ADJ
ejpam-3310	253	25	process	process	NOUN
ejpam-3310	253	26	with	with	ADP
ejpam-3310	253	27	respect	respect	NOUN
ejpam-3310	253	28	to	to	ADP
ejpam-3310	253	29	a	a	DET
ejpam-3310	253	30	hilbert	hilbert	NOUN
ejpam-3310	253	31	space	space	NOUN
ejpam-3310	253	32	-	-	PUNCT
ejpam-3310	253	33	valued	value	VERB
ejpam-3310	253	34	q	q	ADJ
ejpam-3310	253	35	-	-	PUNCT
ejpam-3310	253	36	wiener	wiener	NOUN
ejpam-3310	253	37	process	process	NOUN
ejpam-3310	253	38	.	.	PUNCT
ejpam-3310	254	1	to	to	PART
ejpam-3310	254	2	attain	attain	VERB
ejpam-3310	254	3	this	this	DET
ejpam-3310	254	4	objective	objective	NOUN
ejpam-3310	254	5	,	,	PUNCT
ejpam-3310	254	6	we	we	PRON
ejpam-3310	254	7	use	use	VERB
ejpam-3310	254	8	the	the	DET
ejpam-3310	254	9	concept	concept	NOUN
ejpam-3310	254	10	of	of	ADP
ejpam-3310	254	11	the	the	DET
ejpam-3310	254	12	double	double	ADJ
ejpam-3310	254	13	lusin	lusin	NOUN
ejpam-3310	254	14	condition	condition	NOUN
ejpam-3310	254	15	and	and	CCONJ
ejpam-3310	254	16	ac2[0	ac2[0	NOUN
ejpam-3310	254	17	,	,	PUNCT
ejpam-3310	254	18	t	t	PROPN
ejpam-3310	254	19	]	]	PUNCT
ejpam-3310	254	20	-property	-property	PROPN
ejpam-3310	254	21	,	,	PUNCT
ejpam-3310	254	22	a	a	DET
ejpam-3310	254	23	version	version	NOUN
ejpam-3310	254	24	of	of	ADP
ejpam-3310	254	25	absolute	absolute	ADJ
ejpam-3310	254	26	continuity	continuity	NOUN
ejpam-3310	254	27	.	.	PUNCT
ejpam-3310	255	1	a	a	DET
ejpam-3310	255	2	worthwhile	worthwhile	ADJ
ejpam-3310	255	3	direction	direction	NOUN
ejpam-3310	255	4	for	for	ADP
ejpam-3310	255	5	further	further	ADJ
ejpam-3310	255	6	investigation	investigation	NOUN
ejpam-3310	255	7	is	be	AUX
ejpam-3310	255	8	to	to	PART
ejpam-3310	255	9	use	use	VERB
ejpam-3310	255	10	henstock	henstock	NOUN
ejpam-3310	255	11	-	-	PUNCT
ejpam-3310	255	12	kurzweil	kurzweil	NOUN
ejpam-3310	255	13	approach	approach	NOUN
ejpam-3310	255	14	to	to	PART
ejpam-3310	255	15	define	define	VERB
ejpam-3310	255	16	the	the	DET
ejpam-3310	255	17	stochastic	stochastic	ADJ
ejpam-3310	255	18	integral	integral	ADJ
ejpam-3310	255	19	with	with	ADP
ejpam-3310	255	20	respect	respect	NOUN
ejpam-3310	255	21	to	to	ADP
ejpam-3310	255	22	a	a	DET
ejpam-3310	255	23	cylindrical	cylindrical	ADJ
ejpam-3310	255	24	wiener	wiener	NOUN
ejpam-3310	255	25	process	process	NOUN
ejpam-3310	255	26	.	.	PUNCT
ejpam-3310	256	1	acknowledgements	acknowledgement	NOUN
ejpam-3310	256	2	the	the	DET
ejpam-3310	256	3	first	first	ADJ
ejpam-3310	256	4	author	author	NOUN
ejpam-3310	256	5	would	would	AUX
ejpam-3310	256	6	like	like	VERB
ejpam-3310	256	7	to	to	PART
ejpam-3310	256	8	express	express	VERB
ejpam-3310	256	9	his	his	PRON
ejpam-3310	256	10	sincerest	sincere	ADJ
ejpam-3310	256	11	gratitude	gratitude	NOUN
ejpam-3310	256	12	to	to	ADP
ejpam-3310	256	13	his	his	PRON
ejpam-3310	256	14	wife	wife	NOUN
ejpam-3310	256	15	for	for	ADP
ejpam-3310	256	16	the	the	DET
ejpam-3310	256	17	inspiration	inspiration	NOUN
ejpam-3310	256	18	in	in	ADP
ejpam-3310	256	19	completing	complete	VERB
ejpam-3310	256	20	this	this	DET
ejpam-3310	256	21	paper	paper	NOUN
ejpam-3310	256	22	.	.	PUNCT
ejpam-3310	257	1	also	also	ADV
ejpam-3310	257	2	,	,	PUNCT
ejpam-3310	257	3	the	the	DET
ejpam-3310	257	4	authors	author	NOUN
ejpam-3310	257	5	would	would	AUX
ejpam-3310	257	6	like	like	VERB
ejpam-3310	257	7	to	to	PART
ejpam-3310	257	8	acknowledge	acknowledge	VERB
ejpam-3310	257	9	the	the	DET
ejpam-3310	257	10	financial	financial	ADJ
ejpam-3310	257	11	support	support	NOUN
ejpam-3310	257	12	from	from	ADP
ejpam-3310	257	13	the	the	DET
ejpam-3310	257	14	national	national	PROPN
ejpam-3310	257	15	research	research	PROPN
ejpam-3310	257	16	council	council	PROPN
ejpam-3310	257	17	of	of	ADP
ejpam-3310	257	18	the	the	DET
ejpam-3310	257	19	philippines	philippine	NOUN
ejpam-3310	257	20	(	(	PUNCT
ejpam-3310	257	21	nrcp	nrcp	PROPN
ejpam-3310	257	22	)	)	PUNCT
ejpam-3310	257	23	and	and	CCONJ
ejpam-3310	257	24	to	to	PART
ejpam-3310	257	25	thank	thank	VERB
ejpam-3310	257	26	the	the	DET
ejpam-3310	257	27	unknown	unknown	ADJ
ejpam-3310	257	28	referee	referee	NOUN
ejpam-3310	257	29	for	for	ADP
ejpam-3310	257	30	the	the	DET
ejpam-3310	257	31	helpful	helpful	ADJ
ejpam-3310	257	32	comments	comment	NOUN
ejpam-3310	257	33	for	for	ADP
ejpam-3310	257	34	the	the	DET
ejpam-3310	257	35	improvement	improvement	NOUN
ejpam-3310	257	36	of	of	ADP
ejpam-3310	257	37	this	this	DET
ejpam-3310	257	38	paper	paper	NOUN
ejpam-3310	257	39	.	.	PUNCT
ejpam-3310	258	1	references	reference	NOUN
ejpam-3310	258	2	[	[	X
ejpam-3310	258	3	1	1	X
ejpam-3310	258	4	]	]	PUNCT
ejpam-3310	258	5	e.	e.	PROPN
ejpam-3310	258	6	cabral	cabral	PROPN
ejpam-3310	258	7	and	and	CCONJ
ejpam-3310	258	8	p.	p.	PROPN
ejpam-3310	258	9	y.	y.	PROPN
ejpam-3310	258	10	lee	lee	PROPN
ejpam-3310	258	11	.	.	PUNCT
ejpam-3310	259	1	a	a	DET
ejpam-3310	259	2	fundamental	fundamental	ADJ
ejpam-3310	259	3	theorem	theorem	NOUN
ejpam-3310	259	4	of	of	ADP
ejpam-3310	259	5	calculus	calculus	NOUN
ejpam-3310	259	6	for	for	ADP
ejpam-3310	259	7	the	the	DET
ejpam-3310	259	8	kuzweil	kuzweil	NOUN
ejpam-3310	259	9	-	-	PUNCT
ejpam-3310	259	10	henstock	henstock	NOUN
ejpam-3310	259	11	integral	integral	ADJ
ejpam-3310	259	12	in	in	ADP
ejpam-3310	259	13	rm	rm	PROPN
ejpam-3310	259	14	.	.	PUNCT
ejpam-3310	260	1	real	real	PROPN
ejpam-3310	260	2	anal	anal	PROPN
ejpam-3310	260	3	.	.	PUNCT
ejpam-3310	261	1	exchange	exchange	NOUN
ejpam-3310	261	2	,	,	PUNCT
ejpam-3310	261	3	26:867–876	26:867–876	NUM
ejpam-3310	261	4	,	,	PUNCT
ejpam-3310	261	5	2000	2000	NUM
ejpam-3310	261	6	-	-	SYM
ejpam-3310	261	7	2001	2001	NUM
ejpam-3310	261	8	.	.	PUNCT
ejpam-3310	262	1	[	[	X
ejpam-3310	262	2	2	2	NUM
ejpam-3310	262	3	]	]	PUNCT
ejpam-3310	262	4	l.	l.	PROPN
ejpam-3310	262	5	gawarecki	gawarecki	PROPN
ejpam-3310	262	6	and	and	CCONJ
ejpam-3310	262	7	v.	v.	ADP
ejpam-3310	262	8	mandrekar	mandrekar	PROPN
ejpam-3310	262	9	.	.	PUNCT
ejpam-3310	263	1	stochastic	stochastic	ADJ
ejpam-3310	263	2	differential	differential	ADJ
ejpam-3310	263	3	equations	equation	NOUN
ejpam-3310	263	4	in	in	ADP
ejpam-3310	263	5	infinite	infinite	ADJ
ejpam-3310	263	6	dimensions	dimension	NOUN
ejpam-3310	263	7	with	with	ADP
ejpam-3310	263	8	applications	application	NOUN
ejpam-3310	263	9	to	to	PART
ejpam-3310	263	10	stochastic	stochastic	VERB
ejpam-3310	263	11	partial	partial	ADJ
ejpam-3310	263	12	differential	differential	NOUN
ejpam-3310	263	13	equations	equation	NOUN
ejpam-3310	263	14	.	.	PUNCT
ejpam-3310	264	1	springer	springer	NOUN
ejpam-3310	264	2	,	,	PUNCT
ejpam-3310	264	3	berlin	berlin	PROPN
ejpam-3310	264	4	,	,	PUNCT
ejpam-3310	264	5	2011	2011	NUM
ejpam-3310	264	6	.	.	PUNCT
ejpam-3310	265	1	[	[	X
ejpam-3310	265	2	3	3	X
ejpam-3310	265	3	]	]	X
ejpam-3310	265	4	r.	r.	PROPN
ejpam-3310	265	5	a.	a.	PROPN
ejpam-3310	265	6	gordon	gordon	PROPN
ejpam-3310	265	7	.	.	PUNCT
ejpam-3310	266	1	the	the	DET
ejpam-3310	266	2	integrals	integral	NOUN
ejpam-3310	266	3	of	of	ADP
ejpam-3310	266	4	lebesgue	lebesgue	NOUN
ejpam-3310	266	5	,	,	PUNCT
ejpam-3310	266	6	denjoy	denjoy	PROPN
ejpam-3310	266	7	,	,	PUNCT
ejpam-3310	266	8	perron	perron	PROPN
ejpam-3310	266	9	and	and	CCONJ
ejpam-3310	266	10	henstock	henstock	PROPN
ejpam-3310	266	11	.	.	PUNCT
ejpam-3310	267	1	american	american	PROPN
ejpam-3310	267	2	mathematical	mathematical	PROPN
ejpam-3310	267	3	society	society	NOUN
ejpam-3310	267	4	,	,	PUNCT
ejpam-3310	267	5	1994	1994	NUM
ejpam-3310	267	6	.	.	PUNCT
ejpam-3310	268	1	[	[	X
ejpam-3310	268	2	4	4	NUM
ejpam-3310	268	3	]	]	PUNCT
ejpam-3310	268	4	r.	r.	PROPN
ejpam-3310	268	5	henstock	henstock	PROPN
ejpam-3310	268	6	.	.	PUNCT
ejpam-3310	269	1	lectures	lecture	NOUN
ejpam-3310	269	2	on	on	ADP
ejpam-3310	269	3	the	the	DET
ejpam-3310	269	4	theory	theory	NOUN
ejpam-3310	269	5	of	of	ADP
ejpam-3310	269	6	integration	integration	NOUN
ejpam-3310	269	7	.	.	PUNCT
ejpam-3310	270	1	world	world	NOUN
ejpam-3310	270	2	scientific	scientific	PROPN
ejpam-3310	270	3	,	,	PUNCT
ejpam-3310	270	4	singapore	singapore	PROPN
ejpam-3310	270	5	,	,	PUNCT
ejpam-3310	270	6	1988	1988	NUM
ejpam-3310	270	7	.	.	PUNCT
ejpam-3310	271	1	[	[	X
ejpam-3310	271	2	5	5	X
ejpam-3310	271	3	]	]	PUNCT
ejpam-3310	271	4	j.	j.	PROPN
ejpam-3310	271	5	kurzweil	kurzweil	PROPN
ejpam-3310	271	6	.	.	PUNCT
ejpam-3310	271	7	henstock	henstock	PROPN
ejpam-3310	271	8	-	-	PUNCT
ejpam-3310	271	9	kurzweil	kurzweil	NOUN
ejpam-3310	271	10	integration	integration	NOUN
ejpam-3310	271	11	:	:	PUNCT
ejpam-3310	271	12	its	its	PRON
ejpam-3310	271	13	relation	relation	NOUN
ejpam-3310	271	14	to	to	ADP
ejpam-3310	271	15	topological	topological	ADJ
ejpam-3310	271	16	vector	vector	NOUN
ejpam-3310	271	17	spaces	space	NOUN
ejpam-3310	271	18	.	.	PUNCT
ejpam-3310	272	1	world	world	NOUN
ejpam-3310	272	2	scientific	scientific	PROPN
ejpam-3310	272	3	,	,	PUNCT
ejpam-3310	272	4	singapore	singapore	PROPN
ejpam-3310	272	5	,	,	PUNCT
ejpam-3310	272	6	2000	2000	NUM
ejpam-3310	272	7	.	.	PUNCT
ejpam-3310	273	1	references	reference	NOUN
ejpam-3310	273	2	1013	1013	NUM
ejpam-3310	273	3	[	[	X
ejpam-3310	273	4	6	6	NUM
ejpam-3310	273	5	]	]	PUNCT
ejpam-3310	273	6	m.	m.	NOUN
ejpam-3310	273	7	labendia	labendia	PROPN
ejpam-3310	273	8	and	and	CCONJ
ejpam-3310	273	9	j.	j.	PROPN
ejpam-3310	273	10	benitez	benitez	PROPN
ejpam-3310	273	11	.	.	PUNCT
ejpam-3310	274	1	convergence	convergence	NOUN
ejpam-3310	274	2	theorems	theorem	VERB
ejpam-3310	274	3	for	for	ADP
ejpam-3310	274	4	the	the	DET
ejpam-3310	274	5	itô-henstock	itô-henstock	PROPN
ejpam-3310	274	6	integrable	integrable	ADJ
ejpam-3310	274	7	operator	operator	NOUN
ejpam-3310	274	8	-	-	PUNCT
ejpam-3310	274	9	valued	value	VERB
ejpam-3310	274	10	stochastic	stochastic	ADJ
ejpam-3310	274	11	process	process	NOUN
ejpam-3310	274	12	.	.	PUNCT
ejpam-3310	275	1	malaysian	malaysian	ADJ
ejpam-3310	275	2	journal	journal	PROPN
ejpam-3310	275	3	of	of	ADP
ejpam-3310	275	4	mathematical	mathematical	ADJ
ejpam-3310	275	5	sciences	science	NOUN
ejpam-3310	275	6	,	,	PUNCT
ejpam-3310	275	7	to	to	PART
ejpam-3310	275	8	appear	appear	VERB
ejpam-3310	275	9	.	.	PUNCT
ejpam-3310	276	1	[	[	X
ejpam-3310	276	2	7	7	X
ejpam-3310	276	3	]	]	PUNCT
ejpam-3310	276	4	m.	m.	NOUN
ejpam-3310	276	5	labendia	labendia	PROPN
ejpam-3310	276	6	e.	e.	PROPN
ejpam-3310	276	7	de	de	PROPN
ejpam-3310	276	8	lara	lara	PROPN
ejpam-3310	276	9	-	-	PUNCT
ejpam-3310	276	10	tuprio	tuprio	PROPN
ejpam-3310	276	11	and	and	CCONJ
ejpam-3310	276	12	t.	t.	PROPN
ejpam-3310	276	13	r.	r.	PROPN
ejpam-3310	276	14	teng	teng	PROPN
ejpam-3310	276	15	.	.	PUNCT
ejpam-3310	277	1	itô-henstock	itô-henstock	PROPN
ejpam-3310	277	2	integral	integral	ADJ
ejpam-3310	277	3	and	and	CCONJ
ejpam-3310	277	4	itô	itô	PROPN
ejpam-3310	277	5	’s	’s	PART
ejpam-3310	277	6	formula	formula	NOUN
ejpam-3310	277	7	for	for	ADP
ejpam-3310	277	8	the	the	DET
ejpam-3310	277	9	operator	operator	NOUN
ejpam-3310	277	10	-	-	PUNCT
ejpam-3310	277	11	valued	value	VERB
ejpam-3310	277	12	stochastic	stochastic	ADJ
ejpam-3310	277	13	process	process	NOUN
ejpam-3310	277	14	.	.	PUNCT
ejpam-3310	278	1	mathematica	mathematica	PROPN
ejpam-3310	278	2	bohemica	bohemica	PROPN
ejpam-3310	278	3	,	,	PUNCT
ejpam-3310	278	4	143:135	143:135	NUM
ejpam-3310	278	5	–	–	PUNCT
ejpam-3310	278	6	160	160	NUM
ejpam-3310	278	7	,	,	PUNCT
ejpam-3310	278	8	2018	2018	NUM
ejpam-3310	278	9	.	.	PUNCT
ejpam-3310	279	1	[	[	X
ejpam-3310	279	2	8	8	NUM
ejpam-3310	279	3	]	]	PUNCT
ejpam-3310	279	4	p.	p.	PROPN
ejpam-3310	279	5	y.	y.	PROPN
ejpam-3310	279	6	lee	lee	PROPN
ejpam-3310	279	7	.	.	PUNCT
ejpam-3310	280	1	lanzhou	lanzhou	PROPN
ejpam-3310	280	2	lectures	lecture	VERB
ejpam-3310	280	3	on	on	ADP
ejpam-3310	280	4	henstock	henstock	NOUN
ejpam-3310	280	5	integration	integration	NOUN
ejpam-3310	280	6	.	.	PUNCT
ejpam-3310	281	1	world	world	NOUN
ejpam-3310	281	2	scientific	scientific	PROPN
ejpam-3310	281	3	,	,	PUNCT
ejpam-3310	281	4	singapore	singapore	PROPN
ejpam-3310	281	5	,	,	PUNCT
ejpam-3310	281	6	1989	1989	NUM
ejpam-3310	281	7	.	.	PUNCT
ejpam-3310	282	1	[	[	X
ejpam-3310	282	2	9	9	NUM
ejpam-3310	282	3	]	]	PUNCT
ejpam-3310	282	4	p.	p.	NOUN
ejpam-3310	282	5	y.	y.	PROPN
ejpam-3310	282	6	lee	lee	PROPN
ejpam-3310	282	7	and	and	CCONJ
ejpam-3310	282	8	r.	r.	PROPN
ejpam-3310	282	9	výborný.	výborný.	VERB
ejpam-3310	282	10	the	the	DET
ejpam-3310	282	11	integral	integral	ADJ
ejpam-3310	282	12	:	:	PUNCT
ejpam-3310	282	13	an	an	DET
ejpam-3310	282	14	easy	easy	ADJ
ejpam-3310	282	15	approach	approach	NOUN
ejpam-3310	282	16	after	after	ADP
ejpam-3310	282	17	kurzweil	kurzweil	PROPN
ejpam-3310	282	18	and	and	CCONJ
ejpam-3310	282	19	henstock	henstock	PROPN
ejpam-3310	282	20	.	.	PUNCT
ejpam-3310	283	1	cambridge	cambridge	PROPN
ejpam-3310	283	2	university	university	PROPN
ejpam-3310	283	3	press	press	PROPN
ejpam-3310	283	4	,	,	PUNCT
ejpam-3310	283	5	cambridge	cambridge	PROPN
ejpam-3310	283	6	,	,	PUNCT
ejpam-3310	283	7	2000	2000	NUM
ejpam-3310	283	8	.	.	PUNCT
ejpam-3310	284	1	[	[	X
ejpam-3310	284	2	10	10	NUM
ejpam-3310	284	3	]	]	PUNCT
ejpam-3310	284	4	t.	t.	PROPN
ejpam-3310	284	5	y.	y.	PROPN
ejpam-3310	284	6	lee	lee	PROPN
ejpam-3310	284	7	.	.	PUNCT
ejpam-3310	284	8	henstock	henstock	PROPN
ejpam-3310	284	9	-	-	PUNCT
ejpam-3310	284	10	kurzweil	kurzweil	NOUN
ejpam-3310	284	11	integration	integration	NOUN
ejpam-3310	284	12	on	on	ADP
ejpam-3310	284	13	euclidean	euclidean	ADJ
ejpam-3310	284	14	spaces	space	NOUN
ejpam-3310	284	15	.	.	PUNCT
ejpam-3310	285	1	world	world	NOUN
ejpam-3310	285	2	scientific	scientific	PROPN
ejpam-3310	285	3	,	,	PUNCT
ejpam-3310	285	4	singapore	singapore	PROPN
ejpam-3310	285	5	,	,	PUNCT
ejpam-3310	285	6	2011	2011	NUM
ejpam-3310	285	7	.	.	PUNCT
ejpam-3310	286	1	[	[	X
ejpam-3310	286	2	11	11	NUM
ejpam-3310	286	3	]	]	PUNCT
ejpam-3310	286	4	j.	j.	PROPN
ejpam-3310	286	5	t.	t.	PROPN
ejpam-3310	286	6	lu	lu	PROPN
ejpam-3310	287	1	and	and	CCONJ
ejpam-3310	287	2	p.	p.	PROPN
ejpam-3310	287	3	y.	y.	PROPN
ejpam-3310	287	4	lee	lee	PROPN
ejpam-3310	287	5	.	.	PUNCT
ejpam-3310	288	1	the	the	DET
ejpam-3310	288	2	primitives	primitive	NOUN
ejpam-3310	288	3	of	of	ADP
ejpam-3310	288	4	henstock	henstock	NOUN
ejpam-3310	288	5	integrable	integrable	ADJ
ejpam-3310	288	6	functions	function	NOUN
ejpam-3310	288	7	in	in	ADP
ejpam-3310	288	8	euclidean	euclidean	ADJ
ejpam-3310	288	9	space	space	NOUN
ejpam-3310	288	10	.	.	PUNCT
ejpam-3310	289	1	bull	bull	NOUN
ejpam-3310	289	2	.	.	PUNCT
ejpam-3310	290	1	london	london	PROPN
ejpam-3310	290	2	math	math	PROPN
ejpam-3310	290	3	.	.	PUNCT
ejpam-3310	291	1	society	society	NOUN
ejpam-3310	291	2	,	,	PUNCT
ejpam-3310	291	3	31:173–180	31:173–180	NUM
ejpam-3310	291	4	,	,	PUNCT
ejpam-3310	291	5	1999	1999	NUM
ejpam-3310	291	6	.	.	PUNCT
ejpam-3310	292	1	[	[	X
ejpam-3310	292	2	12	12	NUM
ejpam-3310	292	3	]	]	PUNCT
ejpam-3310	292	4	e.	e.	PROPN
ejpam-3310	292	5	j.	j.	PROPN
ejpam-3310	292	6	mcshane	mcshane	PROPN
ejpam-3310	292	7	.	.	PUNCT
ejpam-3310	293	1	stochastic	stochastic	ADJ
ejpam-3310	293	2	integrals	integral	NOUN
ejpam-3310	293	3	and	and	CCONJ
ejpam-3310	293	4	stochastic	stochastic	ADJ
ejpam-3310	293	5	functional	functional	ADJ
ejpam-3310	293	6	equations	equation	NOUN
ejpam-3310	293	7	.	.	PUNCT
ejpam-3310	294	1	siam	siam	PROPN
ejpam-3310	294	2	j.	j.	PROPN
ejpam-3310	294	3	appl	appl	PROPN
ejpam-3310	294	4	.	.	PROPN
ejpam-3310	294	5	math	math	PROPN
ejpam-3310	294	6	.	.	PUNCT
ejpam-3310	294	7	,	,	PUNCT
ejpam-3310	295	1	17:287–306	17:287–306	NUM
ejpam-3310	295	2	,	,	PUNCT
ejpam-3310	295	3	1969	1969	NUM
ejpam-3310	295	4	.	.	PUNCT
ejpam-3310	296	1	[	[	X
ejpam-3310	296	2	13	13	NUM
ejpam-3310	296	3	]	]	PUNCT
ejpam-3310	296	4	z.	z.	PROPN
ejpam-3310	296	5	r.	r.	PROPN
ejpam-3310	296	6	pop	pop	PROPN
ejpam-3310	296	7	-	-	PUNCT
ejpam-3310	296	8	stojanovic	stojanovic	ADJ
ejpam-3310	296	9	.	.	PUNCT
ejpam-3310	297	1	on	on	ADP
ejpam-3310	297	2	mcshane	mcshane	PROPN
ejpam-3310	297	3	’s	’s	PART
ejpam-3310	297	4	belated	belate	VERB
ejpam-3310	297	5	stochastci	stochastci	NOUN
ejpam-3310	297	6	integral	integral	ADJ
ejpam-3310	297	7	.	.	PUNCT
ejpam-3310	298	1	siam	siam	PROPN
ejpam-3310	298	2	j.	j.	PROPN
ejpam-3310	298	3	appl	appl	PROPN
ejpam-3310	298	4	.	.	PROPN
ejpam-3310	298	5	math	math	PROPN
ejpam-3310	298	6	.	.	PUNCT
ejpam-3310	298	7	,	,	PUNCT
ejpam-3310	298	8	22:87–92	22:87–92	PROPN
ejpam-3310	298	9	,	,	PUNCT
ejpam-3310	298	10	1972	1972	NUM
ejpam-3310	298	11	.	.	PUNCT
ejpam-3310	299	1	[	[	X
ejpam-3310	299	2	14	14	NUM
ejpam-3310	299	3	]	]	X
ejpam-3310	299	4	c.	c.	NOUN
ejpam-3310	299	5	prévôt	prévôt	NOUN
ejpam-3310	299	6	and	and	CCONJ
ejpam-3310	299	7	m.	m.	NOUN
ejpam-3310	299	8	röckner	röckner	NOUN
ejpam-3310	299	9	.	.	PUNCT
ejpam-3310	300	1	a	a	DET
ejpam-3310	300	2	concise	concise	ADJ
ejpam-3310	300	3	course	course	NOUN
ejpam-3310	300	4	on	on	ADP
ejpam-3310	300	5	stochastic	stochastic	ADJ
ejpam-3310	300	6	partial	partial	ADJ
ejpam-3310	300	7	differential	differential	NOUN
ejpam-3310	300	8	equations	equation	NOUN
ejpam-3310	300	9	.	.	PUNCT
ejpam-3310	301	1	2007	2007	NUM
ejpam-3310	301	2	.	.	PUNCT
ejpam-3310	302	1	[	[	X
ejpam-3310	302	2	15	15	NUM
ejpam-3310	302	3	]	]	X
ejpam-3310	302	4	g.	g.	PROPN
ejpam-3310	302	5	da	da	PROPN
ejpam-3310	302	6	prato	prato	PROPN
ejpam-3310	302	7	and	and	CCONJ
ejpam-3310	302	8	j.	j.	PROPN
ejpam-3310	302	9	zabczyk	zabczyk	PROPN
ejpam-3310	302	10	.	.	PUNCT
ejpam-3310	303	1	stochastic	stochastic	ADJ
ejpam-3310	303	2	equations	equation	NOUN
ejpam-3310	303	3	in	in	ADP
ejpam-3310	303	4	infinite	infinite	ADJ
ejpam-3310	303	5	dimensions	dimension	NOUN
ejpam-3310	303	6	.	.	PUNCT
ejpam-3310	304	1	cambridge	cambridge	PROPN
ejpam-3310	304	2	university	university	PROPN
ejpam-3310	304	3	press	press	PROPN
ejpam-3310	304	4	,	,	PUNCT
ejpam-3310	304	5	cambridge	cambridge	PROPN
ejpam-3310	304	6	,	,	PUNCT
ejpam-3310	304	7	1992	1992	NUM
ejpam-3310	304	8	.	.	PUNCT
ejpam-3310	305	1	[	[	X
ejpam-3310	305	2	16	16	NUM
ejpam-3310	305	3	]	]	PUNCT
ejpam-3310	305	4	m.	m.	NOUN
ejpam-3310	305	5	reed	reed	PROPN
ejpam-3310	305	6	and	and	CCONJ
ejpam-3310	305	7	b.	b.	PROPN
ejpam-3310	305	8	simon	simon	PROPN
ejpam-3310	305	9	.	.	PUNCT
ejpam-3310	306	1	methods	method	NOUN
ejpam-3310	306	2	of	of	ADP
ejpam-3310	306	3	modern	modern	ADJ
ejpam-3310	306	4	mathematical	mathematical	ADJ
ejpam-3310	306	5	physics	physics	NOUN
ejpam-3310	306	6	i	i	PRON
ejpam-3310	306	7	:	:	PUNCT
ejpam-3310	306	8	functional	functional	ADJ
ejpam-3310	306	9	analysis	analysis	NOUN
ejpam-3310	306	10	.	.	PUNCT
ejpam-3310	306	11	1980	1980	NUM
ejpam-3310	306	12	.	.	PUNCT
ejpam-3310	307	1	[	[	X
ejpam-3310	307	2	17	17	NUM
ejpam-3310	307	3	]	]	PUNCT
ejpam-3310	307	4	t.	t.	PROPN
ejpam-3310	307	5	l.	l.	PROPN
ejpam-3310	307	6	toh	toh	PROPN
ejpam-3310	307	7	and	and	CCONJ
ejpam-3310	307	8	t.	t.	PROPN
ejpam-3310	307	9	s.	s.	PROPN
ejpam-3310	307	10	chew	chew	VERB
ejpam-3310	307	11	.	.	PUNCT
ejpam-3310	308	1	the	the	DET
ejpam-3310	308	2	riemann	riemann	PROPN
ejpam-3310	308	3	approach	approach	NOUN
ejpam-3310	308	4	to	to	ADP
ejpam-3310	308	5	stochastic	stochastic	ADJ
ejpam-3310	308	6	integration	integration	NOUN
ejpam-3310	308	7	using	use	VERB
ejpam-3310	308	8	non	non	ADJ
ejpam-3310	308	9	-	-	ADJ
ejpam-3310	308	10	uniform	uniform	ADJ
ejpam-3310	308	11	meshes	mesh	NOUN
ejpam-3310	308	12	.	.	PUNCT
ejpam-3310	309	1	j.	j.	PROPN
ejpam-3310	309	2	math	math	PROPN
ejpam-3310	309	3	.	.	PUNCT
ejpam-3310	310	1	anal	anal	PROPN
ejpam-3310	310	2	.	.	PUNCT
ejpam-3310	311	1	appl	appl	PROPN
ejpam-3310	311	2	.	.	PROPN
ejpam-3310	311	3	,	,	PUNCT
ejpam-3310	311	4	280:133–147	280:133–147	NUM
ejpam-3310	311	5	,	,	PUNCT
ejpam-3310	311	6	2003	2003	NUM
ejpam-3310	311	7	.	.	PUNCT
ejpam-3310	312	1	[	[	X
ejpam-3310	312	2	18	18	NUM
ejpam-3310	312	3	]	]	PUNCT
ejpam-3310	312	4	t.	t.	PROPN
ejpam-3310	312	5	l.	l.	PROPN
ejpam-3310	312	6	toh	toh	PROPN
ejpam-3310	312	7	and	and	CCONJ
ejpam-3310	312	8	t.	t.	PROPN
ejpam-3310	312	9	s.	s.	PROPN
ejpam-3310	312	10	chew	chew	VERB
ejpam-3310	312	11	.	.	PUNCT
ejpam-3310	313	1	on	on	ADP
ejpam-3310	313	2	the	the	DET
ejpam-3310	313	3	henstock	henstock	NOUN
ejpam-3310	313	4	-	-	PUNCT
ejpam-3310	313	5	fubini	fubini	NOUN
ejpam-3310	313	6	theorem	theorem	NOUN
ejpam-3310	313	7	for	for	ADP
ejpam-3310	313	8	multiple	multiple	ADJ
ejpam-3310	313	9	stochastic	stochastic	ADJ
ejpam-3310	313	10	integrals	integral	NOUN
ejpam-3310	313	11	.	.	PUNCT
ejpam-3310	314	1	real	real	ADJ
ejpam-3310	314	2	anal	anal	PROPN
ejpam-3310	314	3	.	.	PUNCT
ejpam-3310	315	1	exchange	exchange	NOUN
ejpam-3310	315	2	,	,	PUNCT
ejpam-3310	315	3	30:295–310	30:295–310	NUM
ejpam-3310	315	4	,	,	PUNCT
ejpam-3310	315	5	2004	2004	NUM
ejpam-3310	315	6	-	-	SYM
ejpam-3310	315	7	2005	2005	NUM
ejpam-3310	315	8	.	.	PUNCT
ejpam-3310	316	1	[	[	X
ejpam-3310	316	2	19	19	NUM
ejpam-3310	316	3	]	]	PUNCT
ejpam-3310	316	4	t.	t.	PROPN
ejpam-3310	316	5	s.	s.	PROPN
ejpam-3310	316	6	chew	chew	VERB
ejpam-3310	316	7	t.	t.	PROPN
ejpam-3310	316	8	l.	l.	PROPN
ejpam-3310	316	9	toh	toh	PROPN
ejpam-3310	316	10	and	and	CCONJ
ejpam-3310	316	11	j.	j.	PROPN
ejpam-3310	316	12	y.	y.	PROPN
ejpam-3310	316	13	tay	tay	PROPN
ejpam-3310	316	14	.	.	PUNCT
ejpam-3310	317	1	the	the	DET
ejpam-3310	317	2	non	non	ADJ
ejpam-3310	317	3	-	-	ADJ
ejpam-3310	317	4	uniform	uniform	ADJ
ejpam-3310	317	5	riemann	riemann	PROPN
ejpam-3310	317	6	approach	approach	NOUN
ejpam-3310	317	7	to	to	ADP
ejpam-3310	317	8	itô	itô	PROPN
ejpam-3310	317	9	’s	’s	PART
ejpam-3310	317	10	integral	integral	ADJ
ejpam-3310	317	11	.	.	PUNCT
ejpam-3310	318	1	real	real	ADJ
ejpam-3310	318	2	anal	anal	PROPN
ejpam-3310	318	3	.	.	PUNCT
ejpam-3310	319	1	exchange	exchange	NOUN
ejpam-3310	319	2	,	,	PUNCT
ejpam-3310	319	3	27:495–514	27:495–514	NUM
ejpam-3310	319	4	,	,	PUNCT
ejpam-3310	319	5	2002	2002	NUM
ejpam-3310	319	6	-	-	SYM
ejpam-3310	319	7	2003	2003	NUM
ejpam-3310	319	8	.	.	PUNCT