id	sid	tid	token	lemma	pos
ap-9324	1	1	acta	acta	PROPN
ap-9324	1	2	polytechnica	polytechnica	PROPN
ap-9324	1	3	https://doi.org/10.14311/ap.2024.64.0128	https://doi.org/10.14311/ap.2024.64.0128	VERB
ap-9324	1	4	acta	acta	PROPN
ap-9324	1	5	polytechnica	polytechnica	NOUN
ap-9324	1	6	64(2):128–141	64(2):128–141	PROPN
ap-9324	1	7	,	,	PUNCT
ap-9324	1	8	2024	2024	NUM
ap-9324	1	9	©	©	ADP
ap-9324	1	10	2024	2024	NUM
ap-9324	1	11	the	the	DET
ap-9324	1	12	author(s	author(s	NOUN
ap-9324	1	13	)	)	PUNCT
ap-9324	1	14	.	.	PUNCT
ap-9324	2	1	licensed	license	VERB
ap-9324	2	2	under	under	ADP
ap-9324	2	3	a	a	DET
ap-9324	2	4	cc	cc	NOUN
ap-9324	2	5	-	-	PUNCT
ap-9324	2	6	by	by	ADP
ap-9324	2	7	4.0	4.0	NUM
ap-9324	2	8	licence	licence	NOUN
ap-9324	2	9	published	publish	VERB
ap-9324	2	10	by	by	ADP
ap-9324	2	11	the	the	DET
ap-9324	2	12	czech	czech	PROPN
ap-9324	2	13	technical	technical	PROPN
ap-9324	2	14	university	university	PROPN
ap-9324	2	15	in	in	ADP
ap-9324	2	16	prague	prague	PROPN
ap-9324	2	17	numerical	numerical	PROPN
ap-9324	2	18	solution	solution	NOUN
ap-9324	2	19	for	for	ADP
ap-9324	2	20	stochastic	stochastic	ADJ
ap-9324	2	21	volterra	volterra	NOUN
ap-9324	2	22	-	-	PUNCT
ap-9324	2	23	fredholm	fredholm	NOUN
ap-9324	2	24	integral	integral	ADJ
ap-9324	2	25	equations	equation	NOUN
ap-9324	2	26	with	with	ADP
ap-9324	2	27	delay	delay	NOUN
ap-9324	2	28	arguments	argument	NOUN
ap-9324	2	29	kutorzi	kutorzi	PROPN
ap-9324	2	30	edwin	edwin	PROPN
ap-9324	2	31	yaoa	yaoa	PROPN
ap-9324	2	32	,	,	PUNCT
ap-9324	2	33	b	b	PROPN
ap-9324	2	34	,	,	PUNCT
ap-9324	2	35	yuxue	yuxue	NOUN
ap-9324	2	36	zhanga	zhanga	PROPN
ap-9324	2	37	,	,	PUNCT
ap-9324	2	38	b	b	PROPN
ap-9324	2	39	,	,	PUNCT
ap-9324	2	40	yufeng	yufeng	PROPN
ap-9324	2	41	shia	shia	PROPN
ap-9324	2	42	,	,	PUNCT
ap-9324	2	43	b,∗	b,∗	PROPN
ap-9324	2	44	a	a	DET
ap-9324	2	45	shandong	shandong	PROPN
ap-9324	2	46	university	university	PROPN
ap-9324	2	47	,	,	PUNCT
ap-9324	2	48	institute	institute	NOUN
ap-9324	2	49	for	for	ADP
ap-9324	2	50	financial	financial	ADJ
ap-9324	2	51	studies	study	NOUN
ap-9324	2	52	,	,	PUNCT
ap-9324	2	53	250100	250100	NUM
ap-9324	2	54	jinan	jinan	PROPN
ap-9324	2	55	,	,	PUNCT
ap-9324	2	56	china	china	PROPN
ap-9324	2	57	b	b	PROPN
ap-9324	2	58	shandong	shandong	PROPN
ap-9324	2	59	university	university	PROPN
ap-9324	2	60	,	,	PUNCT
ap-9324	2	61	school	school	NOUN
ap-9324	2	62	of	of	ADP
ap-9324	2	63	mathematics	mathematic	NOUN
ap-9324	2	64	,	,	PUNCT
ap-9324	2	65	250100	250100	NUM
ap-9324	2	66	jinan	jinan	PROPN
ap-9324	2	67	,	,	PUNCT
ap-9324	2	68	china	china	PROPN
ap-9324	2	69	∗	∗	NOUN
ap-9324	2	70	corresponding	correspond	VERB
ap-9324	2	71	author	author	NOUN
ap-9324	2	72	:	:	PUNCT
ap-9324	2	73	yfshi@sdu.edu.cn	yfshi@sdu.edu.cn	PROPN
ap-9324	2	74	abstract	abstract	NOUN
ap-9324	2	75	.	.	PUNCT
ap-9324	3	1	we	we	PRON
ap-9324	3	2	present	present	VERB
ap-9324	3	3	a	a	DET
ap-9324	3	4	method	method	NOUN
ap-9324	3	5	for	for	ADP
ap-9324	3	6	computing	compute	VERB
ap-9324	3	7	the	the	DET
ap-9324	3	8	stochastic	stochastic	ADJ
ap-9324	3	9	operational	operational	ADJ
ap-9324	3	10	matrix	matrix	NOUN
ap-9324	3	11	of	of	ADP
ap-9324	3	12	integration	integration	NOUN
ap-9324	3	13	to	to	PART
ap-9324	3	14	advance	advance	VERB
ap-9324	3	15	the	the	DET
ap-9324	3	16	study	study	NOUN
ap-9324	3	17	of	of	ADP
ap-9324	3	18	stochastic	stochastic	ADJ
ap-9324	3	19	volterra	volterra	NOUN
ap-9324	3	20	-	-	PUNCT
ap-9324	3	21	fredholm	fredholm	NOUN
ap-9324	3	22	integral	integral	ADJ
ap-9324	3	23	equations	equation	NOUN
ap-9324	3	24	(	(	PUNCT
ap-9324	3	25	svfies	svfie	NOUN
ap-9324	3	26	)	)	PUNCT
ap-9324	3	27	based	base	VERB
ap-9324	3	28	on	on	ADP
ap-9324	3	29	delay	delay	NOUN
ap-9324	3	30	arguments	argument	NOUN
ap-9324	3	31	.	.	PUNCT
ap-9324	4	1	first	first	ADV
ap-9324	4	2	,	,	PUNCT
ap-9324	4	3	the	the	DET
ap-9324	4	4	method	method	NOUN
ap-9324	4	5	evaluates	evaluate	VERB
ap-9324	4	6	the	the	DET
ap-9324	4	7	combined	combine	VERB
ap-9324	4	8	effects	effect	NOUN
ap-9324	4	9	of	of	ADP
ap-9324	4	10	the	the	DET
ap-9324	4	11	delay	delay	NOUN
ap-9324	4	12	and	and	CCONJ
ap-9324	4	13	its	its	PRON
ap-9324	4	14	parameters	parameter	NOUN
ap-9324	4	15	on	on	ADP
ap-9324	4	16	the	the	DET
ap-9324	4	17	accuracy	accuracy	NOUN
ap-9324	4	18	improvement	improvement	NOUN
ap-9324	4	19	of	of	ADP
ap-9324	4	20	the	the	DET
ap-9324	4	21	convergence	convergence	NOUN
ap-9324	4	22	rate	rate	NOUN
ap-9324	4	23	.	.	PUNCT
ap-9324	5	1	our	our	PRON
ap-9324	5	2	results	result	NOUN
ap-9324	5	3	can	can	AUX
ap-9324	5	4	be	be	AUX
ap-9324	5	5	applied	apply	VERB
ap-9324	5	6	to	to	ADP
ap-9324	5	7	svfies	svfie	NOUN
ap-9324	5	8	,	,	PUNCT
ap-9324	5	9	with	with	ADP
ap-9324	5	10	the	the	DET
ap-9324	5	11	operational	operational	ADJ
ap-9324	5	12	delay	delay	NOUN
ap-9324	5	13	matrices	matrix	NOUN
ap-9324	5	14	of	of	ADP
ap-9324	5	15	the	the	DET
ap-9324	5	16	block	block	NOUN
ap-9324	5	17	pulse	pulse	NOUN
ap-9324	5	18	function	function	NOUN
ap-9324	5	19	simplified	simplify	VERB
ap-9324	5	20	to	to	ADP
ap-9324	5	21	algebraic	algebraic	ADJ
ap-9324	5	22	ones	one	NOUN
ap-9324	5	23	.	.	PUNCT
ap-9324	6	1	numerical	numerical	ADJ
ap-9324	6	2	calculations	calculation	NOUN
ap-9324	6	3	were	be	AUX
ap-9324	6	4	performed	perform	VERB
ap-9324	6	5	on	on	ADP
ap-9324	6	6	a	a	DET
ap-9324	6	7	pc	pc	NOUN
ap-9324	6	8	using	use	VERB
ap-9324	6	9	python	python	NOUN
ap-9324	6	10	3	3	NUM
ap-9324	6	11	programs	program	NOUN
ap-9324	6	12	.	.	PUNCT
ap-9324	7	1	results	result	NOUN
ap-9324	7	2	also	also	ADV
ap-9324	7	3	demonstrate	demonstrate	VERB
ap-9324	7	4	the	the	DET
ap-9324	7	5	accuracy	accuracy	NOUN
ap-9324	7	6	of	of	ADP
ap-9324	7	7	approximate	approximate	ADJ
ap-9324	7	8	solutions	solution	NOUN
ap-9324	7	9	;	;	PUNCT
ap-9324	7	10	arithmetic	arithmetic	ADJ
ap-9324	7	11	operations	operation	NOUN
ap-9324	7	12	are	be	AUX
ap-9324	7	13	carried	carry	VERB
ap-9324	7	14	out	out	ADP
ap-9324	7	15	without	without	ADP
ap-9324	7	16	the	the	DET
ap-9324	7	17	need	need	NOUN
ap-9324	7	18	for	for	ADP
ap-9324	7	19	derivation	derivation	NOUN
ap-9324	7	20	or	or	CCONJ
ap-9324	7	21	integration	integration	NOUN
ap-9324	7	22	.	.	PUNCT
ap-9324	8	1	keywords	keyword	NOUN
ap-9324	8	2	:	:	PUNCT
ap-9324	8	3	stochastic	stochastic	ADJ
ap-9324	8	4	volterra	volterra	NOUN
ap-9324	8	5	-	-	PUNCT
ap-9324	8	6	fredholm	fredholm	NOUN
ap-9324	8	7	integral	integral	ADJ
ap-9324	8	8	equations	equation	NOUN
ap-9324	8	9	,	,	PUNCT
ap-9324	8	10	block	block	NOUN
ap-9324	8	11	-	-	PUNCT
ap-9324	8	12	pulse	pulse	NOUN
ap-9324	8	13	functions	function	NOUN
ap-9324	8	14	,	,	PUNCT
ap-9324	8	15	itô	itô	PROPN
ap-9324	8	16	integral	integral	ADJ
ap-9324	8	17	,	,	PUNCT
ap-9324	8	18	delay	delay	NOUN
ap-9324	8	19	operational	operational	ADJ
ap-9324	8	20	matrix	matrix	NOUN
ap-9324	8	21	,	,	PUNCT
ap-9324	8	22	error	error	NOUN
ap-9324	8	23	analysis	analysis	NOUN
ap-9324	8	24	.	.	PUNCT
ap-9324	9	1	1	1	X
ap-9324	9	2	.	.	X
ap-9324	9	3	introduction	introduction	NOUN
ap-9324	9	4	stochastic	stochastic	PROPN
ap-9324	9	5	volterra	volterra	NOUN
ap-9324	9	6	-	-	PUNCT
ap-9324	9	7	fredholm	fredholm	NOUN
ap-9324	9	8	integral	integral	ADJ
ap-9324	9	9	equations	equation	NOUN
ap-9324	9	10	are	be	AUX
ap-9324	9	11	an	an	DET
ap-9324	9	12	essential	essential	ADJ
ap-9324	9	13	class	class	NOUN
ap-9324	9	14	of	of	ADP
ap-9324	9	15	multi	multi	ADJ
ap-9324	9	16	-	-	ADJ
ap-9324	9	17	dimensional	dimensional	ADJ
ap-9324	9	18	integral	integral	ADJ
ap-9324	9	19	equations	equation	NOUN
ap-9324	9	20	that	that	PRON
ap-9324	9	21	can	can	AUX
ap-9324	9	22	rarely	rarely	ADV
ap-9324	9	23	be	be	AUX
ap-9324	9	24	solved	solve	VERB
ap-9324	9	25	exactly	exactly	ADV
ap-9324	9	26	,	,	PUNCT
ap-9324	9	27	and	and	CCONJ
ap-9324	9	28	the	the	DET
ap-9324	9	29	computational	computational	ADJ
ap-9324	9	30	complexity	complexity	NOUN
ap-9324	9	31	of	of	ADP
ap-9324	9	32	mathematical	mathematical	ADJ
ap-9324	9	33	operations	operation	NOUN
ap-9324	9	34	is	be	AUX
ap-9324	9	35	a	a	DET
ap-9324	9	36	critical	critical	ADJ
ap-9324	9	37	obstacle	obstacle	NOUN
ap-9324	9	38	in	in	ADP
ap-9324	9	39	solving	solve	VERB
ap-9324	9	40	high	high	ADJ
ap-9324	9	41	-	-	PUNCT
ap-9324	9	42	dimensional	dimensional	ADJ
ap-9324	9	43	stochastic	stochastic	ADJ
ap-9324	9	44	integral	integral	ADJ
ap-9324	9	45	equations	equation	NOUN
ap-9324	9	46	.	.	PUNCT
ap-9324	10	1	stochastic	stochastic	ADJ
ap-9324	10	2	differential	differential	ADJ
ap-9324	10	3	equations	equation	NOUN
ap-9324	10	4	have	have	VERB
ap-9324	10	5	various	various	ADJ
ap-9324	10	6	applications	application	NOUN
ap-9324	10	7	in	in	ADP
ap-9324	10	8	various	various	ADJ
ap-9324	10	9	fields	field	NOUN
ap-9324	10	10	,	,	PUNCT
ap-9324	10	11	such	such	ADJ
ap-9324	10	12	as	as	ADP
ap-9324	10	13	medicine	medicine	NOUN
ap-9324	10	14	,	,	PUNCT
ap-9324	10	15	economics	economic	NOUN
ap-9324	10	16	,	,	PUNCT
ap-9324	10	17	and	and	CCONJ
ap-9324	10	18	social	social	ADJ
ap-9324	10	19	sciences	science	NOUN
ap-9324	10	20	,	,	PUNCT
ap-9324	10	21	as	as	ADV
ap-9324	10	22	well	well	ADV
ap-9324	10	23	as	as	ADP
ap-9324	10	24	engineering	engineering	NOUN
ap-9324	10	25	,	,	PUNCT
ap-9324	10	26	biology	biology	NOUN
ap-9324	10	27	,	,	PUNCT
ap-9324	10	28	and	and	CCONJ
ap-9324	10	29	financial	financial	ADJ
ap-9324	10	30	mathematics	mathematic	NOUN
ap-9324	10	31	.	.	PUNCT
ap-9324	11	1	these	these	DET
ap-9324	11	2	equations	equation	NOUN
ap-9324	11	3	play	play	VERB
ap-9324	11	4	a	a	DET
ap-9324	11	5	crucial	crucial	ADJ
ap-9324	11	6	role	role	NOUN
ap-9324	11	7	in	in	ADP
ap-9324	11	8	modelling	model	VERB
ap-9324	11	9	population	population	NOUN
ap-9324	11	10	growth	growth	NOUN
ap-9324	11	11	,	,	PUNCT
ap-9324	11	12	where	where	SCONJ
ap-9324	11	13	the	the	DET
ap-9324	11	14	stochastic	stochastic	ADJ
ap-9324	11	15	volterra	volterra	NOUN
ap-9324	11	16	-	-	PUNCT
ap-9324	11	17	fredholm	fredholm	NOUN
ap-9324	11	18	integral	integral	ADJ
ap-9324	11	19	equation	equation	NOUN
ap-9324	11	20	is	be	AUX
ap-9324	11	21	fundamental	fundamental	ADJ
ap-9324	11	22	;	;	PUNCT
ap-9324	11	23	see	see	VERB
ap-9324	11	24	[	[	X
ap-9324	11	25	1–7	1–7	X
ap-9324	11	26	]	]	PUNCT
ap-9324	11	27	.	.	PUNCT
ap-9324	12	1	a	a	DET
ap-9324	12	2	stochastic	stochastic	ADJ
ap-9324	12	3	volterra	volterra	NOUN
ap-9324	12	4	-	-	PUNCT
ap-9324	12	5	fredholm	fredholm	NOUN
ap-9324	12	6	integral	integral	ADJ
ap-9324	12	7	equations	equation	NOUN
ap-9324	12	8	can	can	AUX
ap-9324	12	9	be	be	AUX
ap-9324	12	10	modeled	model	VERB
ap-9324	12	11	using	use	VERB
ap-9324	12	12	several	several	ADJ
ap-9324	12	13	types	type	NOUN
ap-9324	12	14	of	of	ADP
ap-9324	12	15	stochastic	stochastic	ADJ
ap-9324	12	16	differential	differential	ADJ
ap-9324	12	17	equations	equation	NOUN
ap-9324	12	18	or	or	CCONJ
ap-9324	12	19	,	,	PUNCT
ap-9324	12	20	in	in	ADP
ap-9324	12	21	more	more	ADV
ap-9324	12	22	complicated	complicated	ADJ
ap-9324	12	23	cases	case	NOUN
ap-9324	12	24	,	,	PUNCT
ap-9324	12	25	nonlinear	nonlinear	ADJ
ap-9324	12	26	stochastic	stochastic	ADJ
ap-9324	12	27	differential	differential	ADJ
ap-9324	12	28	equations	equation	NOUN
ap-9324	12	29	of	of	ADP
ap-9324	12	30	the	the	DET
ap-9324	12	31	itô	itô	PROPN
ap-9324	12	32	type	type	NOUN
ap-9324	13	1	[	[	X
ap-9324	13	2	8–10	8–10	NOUN
ap-9324	13	3	]	]	PUNCT
ap-9324	13	4	.	.	PUNCT
ap-9324	14	1	there	there	PRON
ap-9324	14	2	are	be	VERB
ap-9324	14	3	some	some	DET
ap-9324	14	4	difficulties	difficulty	NOUN
ap-9324	14	5	in	in	ADP
ap-9324	14	6	finding	find	VERB
ap-9324	14	7	exact	exact	ADJ
ap-9324	14	8	solutions	solution	NOUN
ap-9324	14	9	for	for	ADP
ap-9324	14	10	svies	svie	NOUN
ap-9324	14	11	or	or	CCONJ
ap-9324	14	12	svfies	svfie	NOUN
ap-9324	14	13	,	,	PUNCT
ap-9324	14	14	so	so	SCONJ
ap-9324	14	15	the	the	DET
ap-9324	14	16	researchers	researcher	NOUN
ap-9324	14	17	have	have	AUX
ap-9324	14	18	resorted	resort	VERB
ap-9324	14	19	to	to	ADP
ap-9324	14	20	finding	find	VERB
ap-9324	14	21	approximate	approximate	ADJ
ap-9324	14	22	solutions	solution	NOUN
ap-9324	14	23	using	use	VERB
ap-9324	14	24	numerical	numerical	ADJ
ap-9324	14	25	methods	method	NOUN
ap-9324	14	26	[	[	X
ap-9324	14	27	11	11	NUM
ap-9324	14	28	,	,	PUNCT
ap-9324	14	29	12	12	NUM
ap-9324	14	30	]	]	PUNCT
ap-9324	14	31	.	.	PUNCT
ap-9324	15	1	svfies	svfie	NOUN
ap-9324	15	2	with	with	ADP
ap-9324	15	3	delay	delay	NOUN
ap-9324	15	4	are	be	AUX
ap-9324	15	5	used	use	VERB
ap-9324	15	6	in	in	ADP
ap-9324	15	7	applied	apply	VERB
ap-9324	15	8	sciences	science	NOUN
ap-9324	15	9	for	for	ADP
ap-9324	15	10	modelling	modelling	NOUN
ap-9324	15	11	functions	function	NOUN
ap-9324	15	12	that	that	PRON
ap-9324	15	13	contain	contain	VERB
ap-9324	15	14	time	time	NOUN
ap-9324	15	15	memory	memory	NOUN
ap-9324	15	16	,	,	PUNCT
ap-9324	15	17	such	such	ADJ
ap-9324	15	18	as	as	ADP
ap-9324	15	19	mechanical	mechanical	ADJ
ap-9324	15	20	systems	system	NOUN
ap-9324	15	21	,	,	PUNCT
ap-9324	15	22	dynamical	dynamical	ADJ
ap-9324	15	23	systems	system	NOUN
ap-9324	15	24	,	,	PUNCT
ap-9324	15	25	and	and	CCONJ
ap-9324	15	26	electric	electric	ADJ
ap-9324	15	27	circuits	circuit	NOUN
ap-9324	15	28	,	,	PUNCT
ap-9324	15	29	as	as	ADV
ap-9324	15	30	well	well	ADV
ap-9324	15	31	as	as	ADP
ap-9324	15	32	in	in	ADP
ap-9324	15	33	physical	physical	ADJ
ap-9324	15	34	models	model	NOUN
ap-9324	15	35	,	,	PUNCT
ap-9324	15	36	option	option	NOUN
ap-9324	15	37	pricing	pricing	NOUN
ap-9324	15	38	,	,	PUNCT
ap-9324	15	39	and	and	CCONJ
ap-9324	15	40	population	population	NOUN
ap-9324	15	41	growth	growth	NOUN
ap-9324	15	42	[	[	X
ap-9324	15	43	13	13	NUM
ap-9324	15	44	]	]	PUNCT
ap-9324	15	45	.	.	PUNCT
ap-9324	16	1	on	on	ADP
ap-9324	16	2	the	the	DET
ap-9324	16	3	one	one	NUM
ap-9324	16	4	hand	hand	NOUN
ap-9324	16	5	,	,	PUNCT
ap-9324	16	6	in	in	ADP
ap-9324	16	7	the	the	DET
ap-9324	16	8	theory	theory	NOUN
ap-9324	16	9	of	of	ADP
ap-9324	16	10	automatic	automatic	ADJ
ap-9324	16	11	systems	system	NOUN
ap-9324	16	12	,	,	PUNCT
ap-9324	16	13	delay	delay	NOUN
ap-9324	16	14	-	-	PUNCT
ap-9324	16	15	differential	differential	NOUN
ap-9324	16	16	equations	equation	NOUN
ap-9324	16	17	are	be	AUX
ap-9324	16	18	obtained	obtain	VERB
ap-9324	16	19	[	[	X
ap-9324	16	20	14–16	14–16	NUM
ap-9324	16	21	]	]	PUNCT
ap-9324	16	22	.	.	PUNCT
ap-9324	17	1	on	on	ADP
ap-9324	17	2	the	the	DET
ap-9324	17	3	other	other	ADJ
ap-9324	17	4	hand	hand	NOUN
ap-9324	17	5	,	,	PUNCT
ap-9324	17	6	some	some	DET
ap-9324	17	7	systems	system	NOUN
ap-9324	17	8	,	,	PUNCT
ap-9324	17	9	such	such	ADJ
ap-9324	17	10	as	as	ADP
ap-9324	17	11	the	the	DET
ap-9324	17	12	integral	integral	ADJ
ap-9324	17	13	equations	equation	NOUN
ap-9324	17	14	[	[	X
ap-9324	17	15	17	17	NUM
ap-9324	17	16	,	,	PUNCT
ap-9324	17	17	18	18	NUM
ap-9324	17	18	]	]	PUNCT
ap-9324	17	19	,	,	PUNCT
ap-9324	17	20	which	which	PRON
ap-9324	17	21	were	be	AUX
ap-9324	17	22	based	base	VERB
ap-9324	17	23	on	on	ADP
ap-9324	17	24	the	the	DET
ap-9324	17	25	operational	operational	ADJ
ap-9324	17	26	matrices	matrix	NOUN
ap-9324	17	27	of	of	ADP
ap-9324	17	28	integration	integration	NOUN
ap-9324	17	29	,	,	PUNCT
ap-9324	17	30	were	be	AUX
ap-9324	17	31	estimated	estimate	VERB
ap-9324	17	32	using	use	VERB
ap-9324	17	33	polynomials	polynomial	NOUN
ap-9324	17	34	.	.	PUNCT
ap-9324	18	1	these	these	PRON
ap-9324	18	2	included	include	VERB
ap-9324	18	3	block	block	NOUN
ap-9324	18	4	pulse	pulse	NOUN
ap-9324	18	5	systems	system	NOUN
ap-9324	18	6	,	,	PUNCT
ap-9324	18	7	the	the	DET
ap-9324	18	8	fourier	fourier	NOUN
ap-9324	18	9	series	series	NOUN
ap-9324	18	10	,	,	PUNCT
ap-9324	18	11	legendre	legendre	PROPN
ap-9324	18	12	polynomials	polynomial	NOUN
ap-9324	18	13	,	,	PUNCT
ap-9324	18	14	chebyshev	chebyshev	NOUN
ap-9324	18	15	polynomials	polynomial	NOUN
ap-9324	18	16	,	,	PUNCT
ap-9324	18	17	and	and	CCONJ
ap-9324	18	18	laguerre	laguerre	NOUN
ap-9324	18	19	polynomials	polynomial	NOUN
ap-9324	18	20	.	.	PUNCT
ap-9324	19	1	using	use	VERB
ap-9324	19	2	numerical	numerical	ADJ
ap-9324	19	3	methods	method	NOUN
ap-9324	19	4	to	to	PART
ap-9324	19	5	approximate	approximate	VERB
ap-9324	19	6	the	the	DET
ap-9324	19	7	solutions	solution	NOUN
ap-9324	19	8	to	to	ADP
ap-9324	19	9	such	such	ADJ
ap-9324	19	10	equations	equation	NOUN
ap-9324	19	11	is	be	AUX
ap-9324	19	12	often	often	ADV
ap-9324	19	13	desirable	desirable	ADJ
ap-9324	19	14	since	since	SCONJ
ap-9324	19	15	they	they	PRON
ap-9324	19	16	can	can	AUX
ap-9324	19	17	not	not	PART
ap-9324	19	18	always	always	ADV
ap-9324	19	19	be	be	AUX
ap-9324	19	20	solved	solve	VERB
ap-9324	19	21	explicitly	explicitly	ADV
ap-9324	19	22	[	[	X
ap-9324	19	23	19–27	19–27	NUM
ap-9324	19	24	]	]	PUNCT
ap-9324	19	25	.	.	PUNCT
ap-9324	20	1	the	the	DET
ap-9324	20	2	volterra	volterra	PROPN
ap-9324	20	3	integral	integral	ADJ
ap-9324	20	4	equations	equation	NOUN
ap-9324	20	5	with	with	ADP
ap-9324	20	6	delay	delay	NOUN
ap-9324	20	7	have	have	AUX
ap-9324	20	8	received	receive	VERB
ap-9324	20	9	very	very	ADV
ap-9324	20	10	little	little	ADJ
ap-9324	20	11	attention	attention	NOUN
ap-9324	20	12	.	.	PUNCT
ap-9324	21	1	we	we	PRON
ap-9324	21	2	have	have	AUX
ap-9324	21	3	developed	develop	VERB
ap-9324	21	4	approximation	approximation	NOUN
ap-9324	21	5	methods	method	NOUN
ap-9324	21	6	for	for	ADP
ap-9324	21	7	svfies	svfie	NOUN
ap-9324	21	8	with	with	ADP
ap-9324	21	9	delay	delay	NOUN
ap-9324	21	10	arguments	argument	NOUN
ap-9324	21	11	.	.	PUNCT
ap-9324	22	1	a	a	DET
ap-9324	22	2	stochastic	stochastic	ADJ
ap-9324	22	3	operational	operational	ADJ
ap-9324	22	4	matrix	matrix	NOUN
ap-9324	22	5	with	with	ADP
ap-9324	22	6	time	time	NOUN
ap-9324	22	7	delay	delay	NOUN
ap-9324	22	8	is	be	AUX
ap-9324	22	9	presented	present	VERB
ap-9324	22	10	to	to	PART
ap-9324	22	11	find	find	VERB
ap-9324	22	12	an	an	DET
ap-9324	22	13	approximate	approximate	ADJ
ap-9324	22	14	solution	solution	NOUN
ap-9324	22	15	of	of	ADP
ap-9324	22	16	the	the	DET
ap-9324	22	17	stochastic	stochastic	ADJ
ap-9324	22	18	volterra	volterra	NOUN
ap-9324	22	19	-	-	PUNCT
ap-9324	22	20	fredholm	fredholm	NOUN
ap-9324	22	21	integral	integral	ADJ
ap-9324	22	22	equations	equation	NOUN
ap-9324	22	23	.	.	PUNCT
ap-9324	23	1	our	our	PRON
ap-9324	23	2	focus	focus	NOUN
ap-9324	23	3	is	be	AUX
ap-9324	23	4	on	on	ADP
ap-9324	23	5	the	the	DET
ap-9324	23	6	svfie	svfie	NOUN
ap-9324	23	7	:	:	PUNCT
ap-9324	23	8	x(t	x(t	X
ap-9324	23	9	)	)	PUNCT
ap-9324	23	10	=	=	SYM
ap-9324	23	11	f(t	f(t	NOUN
ap-9324	23	12	)	)	PUNCT
ap-9324	24	1	+	+	CCONJ
ap-9324	25	1	λ1	λ1	ADJ
ap-9324	25	2	∫	∫	PROPN
ap-9324	25	3	β	β	PROPN
ap-9324	25	4	α	α	PROPN
ap-9324	25	5	k1(t	k1(t	PROPN
ap-9324	25	6	,	,	PUNCT
ap-9324	25	7	s)x(s	s)x(s	NOUN
ap-9324	25	8	−	−	PROPN
ap-9324	26	1	τ)ds	τ)ds	PROPN
ap-9324	26	2	+	+	NUM
ap-9324	26	3	λ2	λ2	PROPN
ap-9324	26	4	∫	∫	PROPN
ap-9324	26	5	t	t	PROPN
ap-9324	26	6	0	0	NUM
ap-9324	27	1	k2(t	k2(t	PROPN
ap-9324	27	2	,	,	PUNCT
ap-9324	27	3	s)x(s	s)x(s	NOUN
ap-9324	27	4	−	−	PROPN
ap-9324	28	1	τ)ds	τ)ds	PROPN
ap-9324	28	2	+	+	PROPN
ap-9324	29	1	λ3	λ3	PROPN
ap-9324	29	2	∫	∫	PROPN
ap-9324	29	3	t	t	PROPN
ap-9324	29	4	0	0	NUM
ap-9324	30	1	k3(t	k3(t	ADJ
ap-9324	30	2	,	,	PUNCT
ap-9324	30	3	s)x(s	s)x(s	NOUN
ap-9324	30	4	−	−	PROPN
ap-9324	30	5	τ)db(s	τ)db(	NOUN
ap-9324	30	6	)	)	PUNCT
ap-9324	30	7	,	,	PUNCT
ap-9324	30	8	where	where	SCONJ
ap-9324	30	9	t	t	PROPN
ap-9324	30	10	∈	∈	PROPN
ap-9324	31	1	[	[	X
ap-9324	31	2	0	0	NUM
ap-9324	31	3	,	,	PUNCT
ap-9324	31	4	t	t	PROPN
ap-9324	31	5	)	)	PUNCT
ap-9324	31	6	,	,	PUNCT
ap-9324	31	7	τ	τ	PROPN
ap-9324	31	8	∈	∈	PROPN
ap-9324	31	9	[	[	X
ap-9324	31	10	α	α	X
ap-9324	31	11	,	,	PUNCT
ap-9324	31	12	β	β	X
ap-9324	31	13	]	]	X
ap-9324	31	14	,	,	PUNCT
ap-9324	31	15	τ	τ	PROPN
ap-9324	31	16	∈	∈	PROPN
ap-9324	32	1	[	[	X
ap-9324	32	2	0	0	NUM
ap-9324	32	3	,	,	PUNCT
ap-9324	32	4	t	t	PROPN
ap-9324	32	5	)	)	PUNCT
ap-9324	32	6	.	.	PUNCT
ap-9324	33	1	in	in	ADP
ap-9324	33	2	the	the	DET
ap-9324	33	3	above	above	ADJ
ap-9324	33	4	descriptions	description	NOUN
ap-9324	33	5	,	,	PUNCT
ap-9324	33	6	x(t	x(t	PROPN
ap-9324	33	7	)	)	PUNCT
ap-9324	33	8	,	,	PUNCT
ap-9324	33	9	f(t	f(t	PROPN
ap-9324	33	10	)	)	PUNCT
ap-9324	33	11	,	,	PUNCT
ap-9324	33	12	k1(t	k1(t	PROPN
ap-9324	33	13	,	,	PUNCT
ap-9324	33	14	s	s	PART
ap-9324	33	15	)	)	PUNCT
ap-9324	33	16	,	,	PUNCT
ap-9324	33	17	k2(t	k2(t	PROPN
ap-9324	33	18	,	,	PUNCT
ap-9324	33	19	s	s	PART
ap-9324	33	20	)	)	PUNCT
ap-9324	33	21	and	and	CCONJ
ap-9324	33	22	k3(t	k3(t	PROPN
ap-9324	33	23	,	,	PUNCT
ap-9324	33	24	s	s	PART
ap-9324	33	25	)	)	PUNCT
ap-9324	33	26	,	,	PUNCT
ap-9324	33	27	for	for	ADP
ap-9324	33	28	t	t	PROPN
ap-9324	33	29	,	,	PUNCT
ap-9324	33	30	s	s	PART
ap-9324	33	31	∈	∈	PROPN
ap-9324	34	1	[	[	X
ap-9324	34	2	0	0	NUM
ap-9324	34	3	,	,	PUNCT
ap-9324	34	4	t	t	PROPN
ap-9324	34	5	)	)	PUNCT
ap-9324	34	6	,	,	PUNCT
ap-9324	34	7	are	be	AUX
ap-9324	34	8	the	the	DET
ap-9324	34	9	stochastic	stochastic	ADJ
ap-9324	34	10	processes	process	NOUN
ap-9324	34	11	defined	define	VERB
ap-9324	34	12	on	on	ADP
ap-9324	34	13	the	the	DET
ap-9324	34	14	same	same	ADJ
ap-9324	34	15	probability	probability	NOUN
ap-9324	34	16	space	space	NOUN
ap-9324	34	17	(	(	PUNCT
ap-9324	34	18	ω	ω	PROPN
ap-9324	34	19	,	,	PUNCT
ap-9324	34	20	f	f	PROPN
ap-9324	34	21	,	,	PUNCT
ap-9324	34	22	p	p	NOUN
ap-9324	34	23	)	)	PUNCT
ap-9324	34	24	,	,	PUNCT
ap-9324	34	25	and	and	CCONJ
ap-9324	34	26	x(t	x(t	PROPN
ap-9324	34	27	)	)	PUNCT
ap-9324	34	28	is	be	AUX
ap-9324	34	29	unknown	unknown	ADJ
ap-9324	34	30	.	.	PUNCT
ap-9324	35	1	b(t	b(t	PROPN
ap-9324	35	2	)	)	PUNCT
ap-9324	35	3	is	be	AUX
ap-9324	35	4	a	a	DET
ap-9324	35	5	one	one	NUM
ap-9324	35	6	-	-	PUNCT
ap-9324	35	7	dimensional	dimensional	ADJ
ap-9324	35	8	standard	standard	ADJ
ap-9324	35	9	brownian	brownian	ADJ
ap-9324	35	10	motion	motion	NOUN
ap-9324	35	11	process	process	NOUN
ap-9324	35	12	and	and	CCONJ
ap-9324	35	13	∫	∫	PROPN
ap-9324	35	14	t	t	PROPN
ap-9324	35	15	0	0	NUM
ap-9324	36	1	k3(t	k3(t	ADJ
ap-9324	36	2	,	,	PUNCT
ap-9324	36	3	s)x(s	s)x(s	NOUN
ap-9324	36	4	−	−	NOUN
ap-9324	36	5	τ)db(s	τ)db(	NOUN
ap-9324	36	6	)	)	PUNCT
ap-9324	36	7	is	be	AUX
ap-9324	36	8	the	the	DET
ap-9324	36	9	itô	itô	PROPN
ap-9324	36	10	integral	integral	NOUN
ap-9324	36	11	.	.	PUNCT
ap-9324	37	1	both	both	CCONJ
ap-9324	37	2	the	the	DET
ap-9324	37	3	j	j	PROPN
ap-9324	37	4	and	and	CCONJ
ap-9324	37	5	k	k	PROPN
ap-9324	37	6	represent	represent	VERB
ap-9324	37	7	the	the	DET
ap-9324	37	8	volterra	volterra	PROPN
ap-9324	37	9	kernel	kernel	PROPN
ap-9324	37	10	.	.	PUNCT
ap-9324	38	1	the	the	DET
ap-9324	38	2	parameter	parameter	NOUN
ap-9324	38	3	in	in	ADP
ap-9324	38	4	the	the	DET
ap-9324	38	5	variable	variable	NOUN
ap-9324	38	6	of	of	ADP
ap-9324	38	7	the	the	DET
ap-9324	38	8	function	function	NOUN
ap-9324	38	9	is	be	AUX
ap-9324	38	10	calculated	calculate	VERB
ap-9324	38	11	as	as	ADP
ap-9324	38	12	τ	τ	X
ap-9324	38	13	=	=	PUNCT
ap-9324	38	14	(	(	PUNCT
ap-9324	38	15	q	q	PROPN
ap-9324	38	16	+	+	CCONJ
ap-9324	38	17	λ)h	λ)h	X
ap-9324	38	18	with	with	ADP
ap-9324	38	19	an	an	DET
ap-9324	38	20	integer	integer	NOUN
ap-9324	38	21	q	q	PROPN
ap-9324	38	22	≥	≥	NOUN
ap-9324	38	23	0	0	NUM
ap-9324	38	24	and	and	CCONJ
ap-9324	38	25	a	a	DET
ap-9324	38	26	fraction	fraction	NOUN
ap-9324	38	27	0	0	NUM
ap-9324	38	28	≤	≤	NUM
ap-9324	39	1	λ	λ	X
ap-9324	39	2	<	<	X
ap-9324	39	3	1	1	NUM
ap-9324	39	4	,	,	PUNCT
ap-9324	39	5	chosen	choose	VERB
ap-9324	39	6	to	to	PART
ap-9324	39	7	approximate	approximate	VERB
ap-9324	39	8	a	a	DET
ap-9324	39	9	function	function	NOUN
ap-9324	39	10	with	with	ADP
ap-9324	39	11	a	a	DET
ap-9324	39	12	time	time	NOUN
ap-9324	39	13	delay	delay	NOUN
ap-9324	39	14	.	.	PUNCT
ap-9324	40	1	following	follow	VERB
ap-9324	40	2	is	be	AUX
ap-9324	40	3	an	an	DET
ap-9324	40	4	outline	outline	NOUN
ap-9324	40	5	of	of	ADP
ap-9324	40	6	the	the	DET
ap-9324	40	7	paper	paper	NOUN
ap-9324	40	8	.	.	PUNCT
ap-9324	41	1	a	a	DET
ap-9324	41	2	description	description	NOUN
ap-9324	41	3	of	of	ADP
ap-9324	41	4	the	the	DET
ap-9324	41	5	fundamental	fundamental	ADJ
ap-9324	41	6	properties	property	NOUN
ap-9324	41	7	of	of	ADP
ap-9324	41	8	block	block	NOUN
ap-9324	41	9	-	-	PUNCT
ap-9324	41	10	pulse	pulse	NOUN
ap-9324	41	11	functions	function	NOUN
ap-9324	41	12	is	be	AUX
ap-9324	41	13	provided	provide	VERB
ap-9324	41	14	in	in	ADP
ap-9324	41	15	section	section	NOUN
ap-9324	41	16	2	2	NUM
ap-9324	41	17	,	,	PUNCT
ap-9324	41	18	as	as	ADV
ap-9324	41	19	well	well	ADV
ap-9324	41	20	as	as	ADP
ap-9324	41	21	the	the	DET
ap-9324	41	22	approximation	approximation	NOUN
ap-9324	41	23	of	of	ADP
ap-9324	41	24	functions	function	NOUN
ap-9324	41	25	using	use	VERB
ap-9324	41	26	block	block	NOUN
ap-9324	41	27	-	-	PUNCT
ap-9324	41	28	pulse	pulse	NOUN
ap-9324	41	29	parts	part	NOUN
ap-9324	41	30	and	and	CCONJ
ap-9324	41	31	an	an	DET
ap-9324	41	32	operational	operational	ADJ
ap-9324	41	33	128	128	NUM
ap-9324	41	34	https://doi.org/10.14311/ap.2024.64.0128	https://doi.org/10.14311/ap.2024.64.0128	NOUN
ap-9324	41	35	https://creativecommons.org/licenses/by/4.0/	https://creativecommons.org/licenses/by/4.0/	PROPN
ap-9324	41	36	https://www.cvut.cz/en	https://www.cvut.cz/en	PROPN
ap-9324	41	37	vol	vol	NOUN
ap-9324	41	38	.	.	PROPN
ap-9324	42	1	64	64	NUM
ap-9324	42	2	no	no	NOUN
ap-9324	42	3	.	.	PUNCT
ap-9324	43	1	2/2024	2/2024	NUM
ap-9324	43	2	stochastic	stochastic	ADJ
ap-9324	43	3	volterra	volterra	NOUN
ap-9324	43	4	-	-	PUNCT
ap-9324	43	5	fredholm	fredholm	NOUN
ap-9324	43	6	with	with	ADP
ap-9324	43	7	delay	delay	NOUN
ap-9324	43	8	integration	integration	NOUN
ap-9324	43	9	matrix	matrix	NOUN
ap-9324	43	10	.	.	PUNCT
ap-9324	44	1	a	a	DET
ap-9324	44	2	stochastic	stochastic	ADJ
ap-9324	44	3	integration	integration	NOUN
ap-9324	44	4	functional	functional	ADJ
ap-9324	44	5	matrix	matrix	NOUN
ap-9324	44	6	is	be	AUX
ap-9324	44	7	introduced	introduce	VERB
ap-9324	44	8	in	in	ADP
ap-9324	44	9	section	section	NOUN
ap-9324	44	10	3	3	NUM
ap-9324	44	11	.	.	PUNCT
ap-9324	45	1	the	the	DET
ap-9324	45	2	stochastic	stochastic	ADJ
ap-9324	45	3	integration	integration	NOUN
ap-9324	45	4	active	active	ADJ
ap-9324	45	5	matrix	matrix	NOUN
ap-9324	45	6	is	be	AUX
ap-9324	45	7	used	use	VERB
ap-9324	45	8	to	to	PART
ap-9324	45	9	solve	solve	VERB
ap-9324	45	10	stochastic	stochastic	ADJ
ap-9324	45	11	delay	delay	NOUN
ap-9324	45	12	volterra	volterra	PROPN
ap-9324	45	13	integral	integral	ADJ
ap-9324	45	14	equations	equation	NOUN
ap-9324	45	15	in	in	ADP
ap-9324	45	16	section	section	NOUN
ap-9324	45	17	4	4	NUM
ap-9324	45	18	.	.	PUNCT
ap-9324	46	1	we	we	PRON
ap-9324	46	2	present	present	VERB
ap-9324	46	3	the	the	DET
ap-9324	46	4	error	error	NOUN
ap-9324	46	5	estimation	estimation	NOUN
ap-9324	46	6	and	and	CCONJ
ap-9324	46	7	rate	rate	NOUN
ap-9324	46	8	of	of	ADP
ap-9324	46	9	convergence	convergence	NOUN
ap-9324	46	10	in	in	ADP
ap-9324	46	11	section	section	NOUN
ap-9324	46	12	5	5	NUM
ap-9324	46	13	.	.	PUNCT
ap-9324	47	1	the	the	DET
ap-9324	47	2	proposed	propose	VERB
ap-9324	47	3	scheme	scheme	NOUN
ap-9324	47	4	is	be	AUX
ap-9324	47	5	accurate	accurate	ADJ
ap-9324	47	6	,	,	PUNCT
ap-9324	47	7	which	which	PRON
ap-9324	47	8	is	be	AUX
ap-9324	47	9	proved	prove	VERB
ap-9324	47	10	by	by	ADP
ap-9324	47	11	using	use	VERB
ap-9324	47	12	numerical	numerical	ADJ
ap-9324	47	13	examples	example	NOUN
ap-9324	47	14	to	to	PART
ap-9324	47	15	demonstrate	demonstrate	VERB
ap-9324	47	16	its	its	PRON
ap-9324	47	17	effectiveness	effectiveness	NOUN
ap-9324	47	18	in	in	ADP
ap-9324	47	19	section	section	NOUN
ap-9324	47	20	6	6	NUM
ap-9324	47	21	.	.	PUNCT
ap-9324	48	1	a	a	DET
ap-9324	48	2	brief	brief	ADJ
ap-9324	48	3	conclusion	conclusion	NOUN
ap-9324	48	4	is	be	AUX
ap-9324	48	5	given	give	VERB
ap-9324	48	6	in	in	ADP
ap-9324	48	7	section	section	NOUN
ap-9324	48	8	7	7	NUM
ap-9324	48	9	.	.	NOUN
ap-9324	48	10	2	2	NUM
ap-9324	48	11	.	.	X
ap-9324	48	12	block	block	NOUN
ap-9324	48	13	-	-	PUNCT
ap-9324	48	14	pulse	pulse	NOUN
ap-9324	48	15	functions	function	NOUN
ap-9324	48	16	(	(	PUNCT
ap-9324	48	17	bpfs	bpfs	PROPN
ap-9324	48	18	)	)	PUNCT
ap-9324	48	19	this	this	DET
ap-9324	48	20	section	section	NOUN
ap-9324	48	21	covers	cover	VERB
ap-9324	48	22	the	the	DET
ap-9324	48	23	notations	notation	NOUN
ap-9324	48	24	,	,	PUNCT
ap-9324	48	25	definitions	definition	NOUN
ap-9324	48	26	,	,	PUNCT
ap-9324	48	27	known	know	VERB
ap-9324	48	28	results	result	NOUN
ap-9324	48	29	,	,	PUNCT
ap-9324	48	30	and	and	CCONJ
ap-9324	48	31	formulas	formula	NOUN
ap-9324	48	32	related	relate	VERB
ap-9324	48	33	to	to	ADP
ap-9324	48	34	bpfs	bpf	NOUN
ap-9324	48	35	,	,	PUNCT
ap-9324	48	36	which	which	PRON
ap-9324	48	37	are	be	AUX
ap-9324	48	38	relevant	relevant	ADJ
ap-9324	48	39	to	to	ADP
ap-9324	48	40	this	this	DET
ap-9324	48	41	paper	paper	NOUN
ap-9324	48	42	.	.	PUNCT
ap-9324	49	1	these	these	DET
ap-9324	49	2	details	detail	NOUN
ap-9324	49	3	have	have	AUX
ap-9324	49	4	been	be	AUX
ap-9324	49	5	extensively	extensively	ADV
ap-9324	49	6	discussed	discuss	VERB
ap-9324	49	7	in	in	ADP
ap-9324	49	8	[	[	X
ap-9324	49	9	20	20	NUM
ap-9324	49	10	,	,	PUNCT
ap-9324	49	11	21	21	NUM
ap-9324	49	12	]	]	PUNCT
ap-9324	49	13	.	.	PUNCT
ap-9324	50	1	the	the	DET
ap-9324	50	2	block	block	NOUN
ap-9324	50	3	-	-	PUNCT
ap-9324	50	4	pulse	pulse	NOUN
ap-9324	50	5	functions	function	NOUN
ap-9324	50	6	(	(	PUNCT
ap-9324	50	7	bpf	bpf	NOUN
ap-9324	50	8	)	)	PUNCT
ap-9324	50	9	φi	φi	ADV
ap-9324	50	10	over	over	ADP
ap-9324	50	11	the	the	DET
ap-9324	50	12	unit	unit	NOUN
ap-9324	50	13	interval	interval	NOUN
ap-9324	50	14	[	[	X
ap-9324	50	15	0	0	NUM
ap-9324	50	16	,	,	PUNCT
ap-9324	50	17	1	1	NUM
ap-9324	50	18	)	)	PUNCT
ap-9324	50	19	is	be	AUX
ap-9324	50	20	defined	define	VERB
ap-9324	50	21	as	as	SCONJ
ap-9324	50	22	follows	follow	VERB
ap-9324	50	23	:	:	PUNCT
ap-9324	50	24	for	for	ADP
ap-9324	50	25	0	0	NUM
ap-9324	50	26	≤	≤	NOUN
ap-9324	51	1	i	i	PRON
ap-9324	51	2	<	<	X
ap-9324	51	3	m	m	PROPN
ap-9324	51	4	,	,	PUNCT
ap-9324	51	5	and	and	CCONJ
ap-9324	51	6	m	m	PROPN
ap-9324	51	7	∈	∈	NOUN
ap-9324	51	8	{	{	PUNCT
ap-9324	51	9	1	1	NUM
ap-9324	51	10	,	,	PUNCT
ap-9324	51	11	2	2	NUM
ap-9324	51	12	,	,	PUNCT
ap-9324	51	13	.	.	PUNCT
ap-9324	51	14	.	.	PUNCT
ap-9324	52	1	.	.	PUNCT
ap-9324	53	1	}	}	PUNCT
ap-9324	53	2	:	:	PUNCT
ap-9324	53	3	φi(t	φi(t	NOUN
ap-9324	53	4	)	)	PUNCT
ap-9324	53	5	=	=	SYM
ap-9324	53	6	{	{	PUNCT
ap-9324	53	7	1	1	NUM
ap-9324	53	8	(	(	PUNCT
ap-9324	53	9	i	i	PRON
ap-9324	53	10	−	−	PROPN
ap-9324	54	1	1)h	1)h	PROPN
ap-9324	54	2	≤	≤	PUNCT
ap-9324	54	3	t	t	X
ap-9324	54	4	<	<	X
ap-9324	54	5	ih	ih	X
ap-9324	54	6	,	,	PUNCT
ap-9324	54	7	0	0	NUM
ap-9324	54	8	otherwise	otherwise	ADV
ap-9324	54	9	,	,	PUNCT
ap-9324	54	10	(	(	PUNCT
ap-9324	54	11	1	1	X
ap-9324	54	12	)	)	PUNCT
ap-9324	54	13	with	with	ADP
ap-9324	54	14	t	t	PROPN
ap-9324	54	15	∈	∈	PROPN
ap-9324	55	1	[	[	X
ap-9324	55	2	0	0	NUM
ap-9324	55	3	,	,	PUNCT
ap-9324	55	4	t	t	NOUN
ap-9324	55	5	)	)	PUNCT
ap-9324	55	6	,	,	PUNCT
ap-9324	55	7	i	i	PRON
ap-9324	55	8	=	=	NOUN
ap-9324	55	9	1	1	NUM
ap-9324	55	10	,	,	PUNCT
ap-9324	55	11	2	2	NUM
ap-9324	55	12	,	,	PUNCT
ap-9324	55	13	.	.	PUNCT
ap-9324	55	14	.	.	PUNCT
ap-9324	55	15	.	.	PUNCT
ap-9324	56	1	,	,	PUNCT
ap-9324	56	2	m	m	PROPN
ap-9324	56	3	,	,	PUNCT
ap-9324	56	4	and	and	CCONJ
ap-9324	56	5	h	h	NOUN
ap-9324	57	1	=	=	SYM
ap-9324	57	2	t	t	PROPN
ap-9324	57	3	m	m	NOUN
ap-9324	57	4	.	.	PUNCT
ap-9324	58	1	the	the	DET
ap-9324	58	2	block	block	NOUN
ap-9324	58	3	-	-	PUNCT
ap-9324	58	4	pulse	pulse	NOUN
ap-9324	58	5	functions	function	NOUN
ap-9324	58	6	have	have	VERB
ap-9324	58	7	the	the	DET
ap-9324	58	8	following	follow	VERB
ap-9324	58	9	properties	property	NOUN
ap-9324	58	10	:	:	PUNCT
ap-9324	58	11	(	(	PUNCT
ap-9324	58	12	1	1	NUM
ap-9324	58	13	.	.	NUM
ap-9324	58	14	)	)	PUNCT
ap-9324	58	15	disjointness	disjointness	NOUN
ap-9324	58	16	:	:	PUNCT
ap-9324	58	17	the	the	DET
ap-9324	58	18	bpfs	bpf	NOUN
ap-9324	58	19	are	be	AUX
ap-9324	58	20	disjointed	disjoint	VERB
ap-9324	58	21	with	with	ADP
ap-9324	58	22	each	each	DET
ap-9324	58	23	other	other	ADJ
ap-9324	58	24	in	in	ADP
ap-9324	58	25	the	the	DET
ap-9324	58	26	interval	interval	NOUN
ap-9324	58	27	t	t	PROPN
ap-9324	58	28	∈	∈	PROPN
ap-9324	59	1	[	[	X
ap-9324	59	2	0	0	NUM
ap-9324	59	3	,	,	PUNCT
ap-9324	59	4	t	t	PROPN
ap-9324	59	5	):	):	PUNCT
ap-9324	59	6	φi(t)φj(t	φi(t)φj(t	X
ap-9324	59	7	)	)	PUNCT
ap-9324	59	8	=	=	SYM
ap-9324	59	9	δijφi(t	δijφi(t	NOUN
ap-9324	59	10	)	)	PUNCT
ap-9324	59	11	,	,	PUNCT
ap-9324	59	12	(	(	PUNCT
ap-9324	59	13	2	2	X
ap-9324	59	14	)	)	PUNCT
ap-9324	59	15	where	where	SCONJ
ap-9324	59	16	i	i	PRON
ap-9324	59	17	,	,	PUNCT
ap-9324	59	18	j	j	PROPN
ap-9324	59	19	=	=	SYM
ap-9324	59	20	1	1	NUM
ap-9324	59	21	,	,	PUNCT
ap-9324	59	22	2	2	NUM
ap-9324	59	23	,	,	PUNCT
ap-9324	59	24	.	.	PUNCT
ap-9324	59	25	.	.	PUNCT
ap-9324	59	26	.	.	PUNCT
ap-9324	60	1	,	,	PUNCT
ap-9324	60	2	m	m	PROPN
ap-9324	60	3	,	,	PUNCT
ap-9324	60	4	and	and	CCONJ
ap-9324	60	5	δij	δij	NOUN
ap-9324	60	6	denotes	denote	VERB
ap-9324	60	7	the	the	DET
ap-9324	60	8	kronecker	kronecker	NOUN
ap-9324	60	9	delta	delta	NOUN
ap-9324	60	10	.	.	PUNCT
ap-9324	61	1	(	(	PUNCT
ap-9324	61	2	2	2	NUM
ap-9324	61	3	.	.	NUM
ap-9324	61	4	)	)	PUNCT
ap-9324	61	5	orthogonality	orthogonality	NOUN
ap-9324	61	6	:	:	PUNCT
ap-9324	61	7	the	the	DET
ap-9324	61	8	bpfs	bpf	NOUN
ap-9324	61	9	are	be	AUX
ap-9324	61	10	orthogonal	orthogonal	ADJ
ap-9324	61	11	with	with	ADP
ap-9324	61	12	each	each	DET
ap-9324	61	13	other	other	ADJ
ap-9324	61	14	in	in	ADP
ap-9324	61	15	the	the	DET
ap-9324	61	16	interval	interval	NOUN
ap-9324	61	17	t	t	PROPN
ap-9324	61	18	∈	∈	PROPN
ap-9324	62	1	[	[	X
ap-9324	62	2	0	0	NUM
ap-9324	62	3	,	,	PUNCT
ap-9324	62	4	t	t	PROPN
ap-9324	62	5	):	):	PUNCT
ap-9324	62	6	∫	∫	PROPN
ap-9324	62	7	t	t	PROPN
ap-9324	62	8	0	0	NUM
ap-9324	62	9	φi(t)φj(t)dt	φi(t)φj(t)dt	PROPN
ap-9324	62	10	=	=	SYM
ap-9324	62	11	hδij	hδij	NOUN
ap-9324	62	12	,	,	PUNCT
ap-9324	62	13	(	(	PUNCT
ap-9324	62	14	3	3	X
ap-9324	62	15	)	)	PUNCT
ap-9324	62	16	where	where	SCONJ
ap-9324	62	17	i	i	PRON
ap-9324	62	18	,	,	PUNCT
ap-9324	62	19	j	j	PROPN
ap-9324	62	20	=	=	SYM
ap-9324	62	21	1	1	NUM
ap-9324	62	22	,	,	PUNCT
ap-9324	62	23	2	2	NUM
ap-9324	62	24	,	,	PUNCT
ap-9324	62	25	.	.	PUNCT
ap-9324	62	26	.	.	PUNCT
ap-9324	63	1	.	.	PUNCT
ap-9324	64	1	,	,	PUNCT
ap-9324	64	2	m.	m.	NOUN
ap-9324	64	3	(	(	PUNCT
ap-9324	64	4	3	3	NUM
ap-9324	64	5	.	.	PUNCT
ap-9324	64	6	)	)	PUNCT
ap-9324	65	1	the	the	DET
ap-9324	65	2	third	third	ADJ
ap-9324	65	3	property	property	NOUN
ap-9324	65	4	is	be	AUX
ap-9324	65	5	completeness	completeness	NOUN
ap-9324	65	6	:	:	PUNCT
ap-9324	65	7	for	for	ADP
ap-9324	65	8	every	every	DET
ap-9324	65	9	f	f	PROPN
ap-9324	65	10	∈	∈	PROPN
ap-9324	65	11	l2[0	l2[0	PROPN
ap-9324	65	12	,	,	PUNCT
ap-9324	65	13	t	t	PROPN
ap-9324	65	14	)	)	PUNCT
ap-9324	65	15	,	,	PUNCT
ap-9324	65	16	when	when	SCONJ
ap-9324	65	17	m	m	VERB
ap-9324	65	18	→	→	SYM
ap-9324	65	19	∞	∞	PROPN
ap-9324	65	20	,	,	PUNCT
ap-9324	65	21	parseval	parseval	NOUN
ap-9324	65	22	’s	’s	PART
ap-9324	65	23	identity	identity	NOUN
ap-9324	65	24	holds	hold	VERB
ap-9324	65	25	,	,	PUNCT
ap-9324	65	26	that	that	PRON
ap-9324	65	27	is	be	AUX
ap-9324	65	28	:	:	PUNCT
ap-9324	65	29	∫	∫	PROPN
ap-9324	65	30	t	t	PROPN
ap-9324	65	31	0	0	NUM
ap-9324	65	32	f2(t)dt	f2(t)dt	NOUN
ap-9324	65	33	=	=	X
ap-9324	66	1	∞∑	∞∑	NUM
ap-9324	66	2	i=1	i=1	ADV
ap-9324	66	3	f2	f2	PROPN
ap-9324	67	1	i	i	PRON
ap-9324	67	2	||φi(t)||2	||φi(t)||2	PROPN
ap-9324	67	3	,	,	PUNCT
ap-9324	68	1	where	where	SCONJ
ap-9324	68	2	fi	fi	NOUN
ap-9324	68	3	=	=	NOUN
ap-9324	68	4	1	1	NUM
ap-9324	68	5	h	h	NOUN
ap-9324	68	6	∫	∫	PROPN
ap-9324	68	7	t	t	PROPN
ap-9324	68	8	0	0	NUM
ap-9324	68	9	f(t)φi(t)dt	f(t)φi(t)dt	PROPN
ap-9324	69	1	.	.	PUNCT
ap-9324	70	1	the	the	DET
ap-9324	70	2	set	set	NOUN
ap-9324	70	3	of	of	ADP
ap-9324	70	4	functions	function	NOUN
ap-9324	70	5	can	can	AUX
ap-9324	70	6	be	be	AUX
ap-9324	70	7	described	describe	VERB
ap-9324	70	8	by	by	ADP
ap-9324	70	9	an	an	DET
ap-9324	70	10	m	m	PROPN
ap-9324	70	11	vector	vector	NOUN
ap-9324	70	12	:	:	PUNCT
ap-9324	70	13	φ(t	φ(t	NUM
ap-9324	70	14	)	)	PUNCT
ap-9324	70	15	=	=	PUNCT
ap-9324	70	16	(	(	PUNCT
ap-9324	70	17	φ0(t	φ0(t	PROPN
ap-9324	70	18	)	)	PUNCT
ap-9324	70	19	,	,	PUNCT
ap-9324	70	20	φ1(t	φ1(t	NUM
ap-9324	70	21	)	)	PUNCT
ap-9324	70	22	,	,	PUNCT
ap-9324	70	23	·	·	PUNCT
ap-9324	70	24	·	·	PUNCT
ap-9324	70	25	·	·	PUNCT
ap-9324	70	26	,	,	PUNCT
ap-9324	70	27	φm(t))t	φm(t))t	X
ap-9324	70	28	,	,	PUNCT
ap-9324	70	29	where	where	SCONJ
ap-9324	70	30	t	t	PROPN
ap-9324	70	31	∈	∈	PROPN
ap-9324	71	1	[	[	X
ap-9324	71	2	0	0	NUM
ap-9324	71	3	,	,	PUNCT
ap-9324	71	4	t	t	NOUN
ap-9324	71	5	)	)	PUNCT
ap-9324	71	6	.	.	PUNCT
ap-9324	72	1	thus	thus	ADV
ap-9324	72	2	,	,	PUNCT
ap-9324	72	3	we	we	PRON
ap-9324	72	4	can	can	AUX
ap-9324	72	5	write	write	VERB
ap-9324	72	6	the	the	DET
ap-9324	72	7	relationship	relationship	NOUN
ap-9324	72	8	between	between	ADP
ap-9324	72	9	bpfs	bpf	NOUN
ap-9324	72	10	and	and	CCONJ
ap-9324	72	11	their	their	PRON
ap-9324	72	12	integrals	integral	NOUN
ap-9324	72	13	in	in	ADP
ap-9324	72	14	the	the	DET
ap-9324	72	15	following	follow	VERB
ap-9324	72	16	matrix	matrix	NOUN
ap-9324	72	17	form	form	NOUN
ap-9324	72	18	.	.	PUNCT
ap-9324	73	1	the	the	DET
ap-9324	73	2	above	above	ADJ
ap-9324	73	3	representation	representation	NOUN
ap-9324	73	4	and	and	CCONJ
ap-9324	73	5	disjointness	disjointness	NOUN
ap-9324	73	6	property	property	NOUN
ap-9324	73	7	follows	follow	VERB
ap-9324	73	8	:	:	PUNCT
ap-9324	73	9	φ(t)φt	φ(t)φt	X
ap-9324	73	10	(	(	PUNCT
ap-9324	73	11	t	t	NOUN
ap-9324	73	12	)	)	PUNCT
ap-9324	73	13	=	=	PUNCT
ap-9324	74	1			PROPN
ap-9324	74	2	φ1(t	φ1(t	X
ap-9324	74	3	)	)	PUNCT
ap-9324	74	4	0	0	NUM
ap-9324	74	5	·	·	PUNCT
ap-9324	74	6	·	·	PUNCT
ap-9324	74	7	·	·	PUNCT
ap-9324	74	8	0	0	PUNCT
ap-9324	74	9	0	0	NUM
ap-9324	74	10	φ2(t	φ2(t	NUM
ap-9324	74	11	)	)	PUNCT
ap-9324	74	12	·	·	PUNCT
ap-9324	74	13	·	·	PUNCT
ap-9324	74	14	·	·	PUNCT
ap-9324	74	15	0	0	NUM
ap-9324	74	16	...	...	PUNCT
ap-9324	74	17	...	...	PUNCT
ap-9324	74	18	.	.	PUNCT
ap-9324	74	19	.	.	PUNCT
ap-9324	74	20	.	.	PUNCT
ap-9324	75	1	...	...	PUNCT
ap-9324	76	1	0	0	NUM
ap-9324	76	2	0	0	NUM
ap-9324	76	3	·	·	PUNCT
ap-9324	76	4	·	·	PUNCT
ap-9324	76	5	·	·	PUNCT
ap-9324	76	6	φm(t	φm(t	X
ap-9324	76	7	)	)	PUNCT
ap-9324	76	8			PRON
ap-9324	76	9	m×m	m×m	ADJ
ap-9324	76	10	,	,	PUNCT
ap-9324	76	11	(	(	PUNCT
ap-9324	76	12	4	4	NUM
ap-9324	76	13	)	)	PUNCT
ap-9324	76	14	additionally	additionally	ADV
ap-9324	76	15	,	,	PUNCT
ap-9324	76	16	we	we	PRON
ap-9324	76	17	deduce	deduce	VERB
ap-9324	76	18	:	:	PUNCT
ap-9324	76	19	φt	φt	NOUN
ap-9324	76	20	(	(	PUNCT
ap-9324	76	21	t)φ(t	t)φ(t	NOUN
ap-9324	76	22	)	)	PUNCT
ap-9324	76	23	=	=	SYM
ap-9324	76	24	1	1	NUM
ap-9324	76	25	,	,	PUNCT
ap-9324	76	26	and	and	CCONJ
ap-9324	76	27	:	:	PUNCT
ap-9324	76	28	φ(t)φt	φ(t)φt	X
ap-9324	76	29	(	(	PUNCT
ap-9324	76	30	t)f	t)f	SYM
ap-9324	76	31	t	t	NOUN
ap-9324	76	32	=	=	SYM
ap-9324	76	33	df	df	PROPN
ap-9324	76	34	φ(t	φ(t	PROPN
ap-9324	76	35	)	)	PUNCT
ap-9324	76	36	,	,	PUNCT
ap-9324	76	37	(	(	PUNCT
ap-9324	76	38	5	5	X
ap-9324	76	39	)	)	PUNCT
ap-9324	76	40	the	the	DET
ap-9324	76	41	diagonal	diagonal	ADJ
ap-9324	76	42	matrix	matrix	NOUN
ap-9324	76	43	df	df	NOUN
ap-9324	76	44	corresponds	correspond	VERB
ap-9324	76	45	to	to	ADP
ap-9324	76	46	a	a	DET
ap-9324	76	47	constant	constant	ADJ
ap-9324	76	48	vector	vector	NOUN
ap-9324	76	49	f	f	NOUN
ap-9324	76	50	=	=	PUNCT
ap-9324	76	51	(	(	PUNCT
ap-9324	76	52	f1	f1	PROPN
ap-9324	76	53	,	,	PUNCT
ap-9324	76	54	f2	f2	PROPN
ap-9324	76	55	,	,	PUNCT
ap-9324	76	56	·	·	PUNCT
ap-9324	76	57	·	·	PUNCT
ap-9324	76	58	·	·	PUNCT
ap-9324	76	59	,	,	PUNCT
ap-9324	76	60	fm)t	fm)t	VERB
ap-9324	76	61	whose	whose	DET
ap-9324	76	62	diagonal	diagonal	ADJ
ap-9324	76	63	entries	entry	NOUN
ap-9324	76	64	are	be	AUX
ap-9324	76	65	related	relate	VERB
ap-9324	76	66	.	.	PUNCT
ap-9324	77	1	129	129	NUM
ap-9324	77	2	e.	e.	PROPN
ap-9324	77	3	y.	y.	PROPN
ap-9324	77	4	kutorzi	kutorzi	PROPN
ap-9324	77	5	,	,	PUNCT
ap-9324	77	6	y.	y.	PROPN
ap-9324	77	7	zhang	zhang	PROPN
ap-9324	77	8	,	,	PUNCT
ap-9324	77	9	y.	y.	PROPN
ap-9324	77	10	shi	shi	PROPN
ap-9324	77	11	acta	acta	PROPN
ap-9324	77	12	polytechnica	polytechnica	PROPN
ap-9324	77	13	2.1	2.1	NUM
ap-9324	77	14	.	.	PUNCT
ap-9324	78	1	functions	function	NOUN
ap-9324	78	2	approximation	approximation	VERB
ap-9324	78	3	a	a	DET
ap-9324	78	4	real	real	ADV
ap-9324	78	5	bounded	bounded	ADJ
ap-9324	78	6	function	function	NOUN
ap-9324	78	7	f(t	f(t	PROPN
ap-9324	78	8	)	)	PUNCT
ap-9324	78	9	,	,	PUNCT
ap-9324	78	10	which	which	DET
ap-9324	78	11	f(t	f(t	PROPN
ap-9324	78	12	)	)	PUNCT
ap-9324	78	13	∈	∈	PROPN
ap-9324	78	14	l2[0	l2[0	PROPN
ap-9324	78	15	,	,	PUNCT
ap-9324	78	16	t	t	PROPN
ap-9324	78	17	)	)	PUNCT
ap-9324	78	18	,	,	PUNCT
ap-9324	78	19	can	can	AUX
ap-9324	78	20	be	be	AUX
ap-9324	78	21	expanded	expand	VERB
ap-9324	78	22	into	into	ADP
ap-9324	78	23	a	a	DET
ap-9324	78	24	block	block	NOUN
ap-9324	78	25	pulse	pulse	NOUN
ap-9324	78	26	series	series	NOUN
ap-9324	78	27	as	as	ADP
ap-9324	78	28	:	:	PUNCT
ap-9324	78	29	f(t	f(t	NOUN
ap-9324	78	30	)	)	PUNCT
ap-9324	78	31	≃	≃	X
ap-9324	78	32	f̂m(t	f̂m(t	NOUN
ap-9324	78	33	)	)	PUNCT
ap-9324	78	34	=	=	PUNCT
ap-9324	79	1	m∑	m∑	INTJ
ap-9324	79	2	i=1	i=1	PRON
ap-9324	79	3	fiφi(t	fiφi(t	PROPN
ap-9324	79	4	)	)	PUNCT
ap-9324	79	5	,	,	PUNCT
ap-9324	79	6	(	(	PUNCT
ap-9324	79	7	6	6	NUM
ap-9324	79	8	)	)	PUNCT
ap-9324	79	9	where	where	SCONJ
ap-9324	79	10	fi	fi	NOUN
ap-9324	79	11	is	be	AUX
ap-9324	79	12	the	the	DET
ap-9324	79	13	block	block	NOUN
ap-9324	79	14	pulse	pulse	NOUN
ap-9324	79	15	coefficient	coefficient	NOUN
ap-9324	79	16	with	with	ADP
ap-9324	79	17	respect	respect	NOUN
ap-9324	79	18	to	to	ADP
ap-9324	79	19	the	the	DET
ap-9324	79	20	ith	ith	PROPN
ap-9324	79	21	bpf	bpf	PROPN
ap-9324	79	22	φi(t	φi(t	NOUN
ap-9324	79	23	)	)	PUNCT
ap-9324	79	24	.	.	PUNCT
ap-9324	80	1	the	the	DET
ap-9324	80	2	vector	vector	NOUN
ap-9324	80	3	form	form	NOUN
ap-9324	80	4	is	be	AUX
ap-9324	80	5	as	as	SCONJ
ap-9324	80	6	follows	follow	VERB
ap-9324	80	7	:	:	PUNCT
ap-9324	80	8	f(t	f(t	NOUN
ap-9324	80	9	)	)	PUNCT
ap-9324	80	10	≃	≃	X
ap-9324	80	11	f̂m(t	f̂m(t	NOUN
ap-9324	80	12	)	)	PUNCT
ap-9324	80	13	=	=	SYM
ap-9324	80	14	f	f	PROPN
ap-9324	80	15	t	t	PROPN
ap-9324	80	16	φ(t	φ(t	PROPN
ap-9324	80	17	)	)	PUNCT
ap-9324	81	1	=	=	SYM
ap-9324	81	2	φt	φt	NOUN
ap-9324	81	3	(	(	PUNCT
ap-9324	81	4	t)f	t)f	ADP
ap-9324	81	5	,	,	PUNCT
ap-9324	81	6	(	(	PUNCT
ap-9324	81	7	7	7	X
ap-9324	81	8	)	)	PUNCT
ap-9324	81	9	where	where	SCONJ
ap-9324	81	10	f	f	NOUN
ap-9324	81	11	=	=	PRON
ap-9324	81	12	(	(	PUNCT
ap-9324	81	13	f1	f1	PROPN
ap-9324	81	14	,	,	PUNCT
ap-9324	81	15	f2	f2	PROPN
ap-9324	81	16	,	,	PUNCT
ap-9324	81	17	·	·	PUNCT
ap-9324	81	18	·	·	PUNCT
ap-9324	81	19	·	·	PUNCT
ap-9324	81	20	,	,	PUNCT
ap-9324	81	21	fm)t	fm)t	PROPN
ap-9324	81	22	.	.	PUNCT
ap-9324	82	1	let	let	VERB
ap-9324	82	2	k(t	k(t	PROPN
ap-9324	82	3	,	,	PUNCT
ap-9324	82	4	s	s	X
ap-9324	82	5	)	)	PUNCT
ap-9324	82	6	∈	∈	PROPN
ap-9324	82	7	l2([0	l2([0	PROPN
ap-9324	82	8	,	,	PUNCT
ap-9324	82	9	t1	t1	NOUN
ap-9324	82	10	)	)	PUNCT
ap-9324	82	11	×	×	NOUN
ap-9324	83	1	[	[	X
ap-9324	83	2	0	0	NUM
ap-9324	83	3	,	,	PUNCT
ap-9324	83	4	t2	t2	NOUN
ap-9324	83	5	)	)	PUNCT
ap-9324	83	6	)	)	PUNCT
ap-9324	83	7	.	.	PUNCT
ap-9324	84	1	similarly	similarly	ADV
ap-9324	84	2	,	,	PUNCT
ap-9324	84	3	it	it	PRON
ap-9324	84	4	can	can	AUX
ap-9324	84	5	be	be	AUX
ap-9324	84	6	applied	apply	VERB
ap-9324	84	7	to	to	ADP
ap-9324	84	8	bpfs	bpf	NOUN
ap-9324	84	9	such	such	ADJ
ap-9324	84	10	as	as	ADP
ap-9324	84	11	:	:	PUNCT
ap-9324	84	12	k(t	k(t	X
ap-9324	84	13	,	,	PUNCT
ap-9324	84	14	s	s	X
ap-9324	84	15	)	)	PUNCT
ap-9324	84	16	≃	≃	PROPN
ap-9324	84	17	k̂m(t	k̂m(t	PROPN
ap-9324	84	18	,	,	PUNCT
ap-9324	84	19	s	s	PART
ap-9324	84	20	)	)	PUNCT
ap-9324	84	21	=	=	SYM
ap-9324	84	22	ψt	ψt	NOUN
ap-9324	84	23	(	(	PUNCT
ap-9324	84	24	s)kφ(t	s)kφ(t	NOUN
ap-9324	84	25	)	)	PUNCT
ap-9324	84	26	=	=	SYM
ap-9324	84	27	φt	φt	NOUN
ap-9324	84	28	(	(	PUNCT
ap-9324	84	29	t)kt	t)kt	PROPN
ap-9324	84	30	ψ(s	ψ(s	PROPN
ap-9324	84	31	)	)	PUNCT
ap-9324	84	32	,	,	PUNCT
ap-9324	84	33	(	(	PUNCT
ap-9324	84	34	8)	8)	NUM
ap-9324	84	35	where	where	SCONJ
ap-9324	84	36	φ(t	φ(t	NOUN
ap-9324	84	37	)	)	PUNCT
ap-9324	84	38	and	and	CCONJ
ap-9324	84	39	ψ(s	ψ(s	NUM
ap-9324	84	40	)	)	PUNCT
ap-9324	84	41	are	be	AUX
ap-9324	84	42	m1	m1	PROPN
ap-9324	84	43	and	and	CCONJ
ap-9324	84	44	m2	m2	PROPN
ap-9324	84	45	dimensional	dimensional	ADJ
ap-9324	84	46	bpfs	bpf	NOUN
ap-9324	84	47	vectors	vector	NOUN
ap-9324	84	48	,	,	PUNCT
ap-9324	84	49	respectively	respectively	ADV
ap-9324	84	50	,	,	PUNCT
ap-9324	84	51	and	and	CCONJ
ap-9324	85	1	k	k	PROPN
ap-9324	85	2	=	=	SYM
ap-9324	85	3	(	(	PUNCT
ap-9324	85	4	kij	kij	PROPN
ap-9324	85	5	)	)	PUNCT
ap-9324	85	6	,	,	PUNCT
ap-9324	85	7	i	i	PRON
ap-9324	85	8	=	=	NOUN
ap-9324	85	9	1	1	NUM
ap-9324	85	10	,	,	PUNCT
ap-9324	85	11	2	2	NUM
ap-9324	85	12	,	,	PUNCT
ap-9324	85	13	.	.	PUNCT
ap-9324	85	14	.	.	PUNCT
ap-9324	85	15	.	.	PUNCT
ap-9324	86	1	,	,	PUNCT
ap-9324	86	2	m1	m1	PROPN
ap-9324	86	3	,	,	PUNCT
ap-9324	86	4	j	j	PROPN
ap-9324	86	5	=	=	SYM
ap-9324	86	6	1	1	NUM
ap-9324	86	7	,	,	PUNCT
ap-9324	86	8	2	2	NUM
ap-9324	86	9	,	,	PUNCT
ap-9324	86	10	.	.	PUNCT
ap-9324	86	11	.	.	PUNCT
ap-9324	86	12	.	.	PUNCT
ap-9324	87	1	,	,	PUNCT
ap-9324	87	2	m2	m2	PROPN
ap-9324	87	3	is	be	AUX
ap-9324	87	4	the	the	DET
ap-9324	87	5	m1	m1	PROPN
ap-9324	87	6	×	×	PROPN
ap-9324	87	7	m2	m2	PROPN
ap-9324	87	8	block	block	NOUN
ap-9324	87	9	pulse	pulse	NOUN
ap-9324	87	10	coefficient	coefficient	NOUN
ap-9324	87	11	matrix	matrix	NOUN
ap-9324	87	12	with	with	ADP
ap-9324	87	13	:	:	PUNCT
ap-9324	88	1	kij	kij	PROPN
ap-9324	88	2	=	=	SYM
ap-9324	88	3	1	1	NUM
ap-9324	88	4	h1h2	h1h2	NUM
ap-9324	88	5	∫	∫	PROPN
ap-9324	88	6	t1	t1	NOUN
ap-9324	88	7	0	0	NUM
ap-9324	89	1	∫	∫	PROPN
ap-9324	89	2	t2	t2	PROPN
ap-9324	89	3	0	0	NUM
ap-9324	90	1	k(t	k(t	PROPN
ap-9324	90	2	,	,	PUNCT
ap-9324	90	3	s)ψi(t)φj(s)dsdt	s)ψi(t)φj(s)dsdt	NOUN
ap-9324	90	4	,	,	PUNCT
ap-9324	90	5	where	where	SCONJ
ap-9324	90	6	h1	h1	PROPN
ap-9324	90	7	=	=	PROPN
ap-9324	90	8	t1	t1	PROPN
ap-9324	90	9	m1	m1	PROPN
ap-9324	90	10	,	,	PUNCT
ap-9324	90	11	h2	h2	NOUN
ap-9324	90	12	=	=	SYM
ap-9324	90	13	t2	t2	PROPN
ap-9324	90	14	m2	m2	PROPN
ap-9324	90	15	.	.	PUNCT
ap-9324	91	1	for	for	ADP
ap-9324	91	2	convenience	convenience	NOUN
ap-9324	91	3	,	,	PUNCT
ap-9324	91	4	we	we	PRON
ap-9324	91	5	put	put	VERB
ap-9324	91	6	m1	m1	NOUN
ap-9324	91	7	=	=	SYM
ap-9324	91	8	m2	m2	PROPN
ap-9324	91	9	=	=	PROPN
ap-9324	91	10	m.	m.	NOUN
ap-9324	91	11	2.2	2.2	NUM
ap-9324	91	12	.	.	PUNCT
ap-9324	92	1	integration	integration	NOUN
ap-9324	92	2	operational	operational	ADJ
ap-9324	92	3	matrix	matrix	NOUN
ap-9324	92	4	computing	compute	VERB
ap-9324	93	1	∫	∫	PROPN
ap-9324	93	2	t	t	PROPN
ap-9324	93	3	0	0	NUM
ap-9324	93	4	φi(s)ds	φi(s)ds	NUM
ap-9324	93	5	follows	follow	VERB
ap-9324	93	6	:	:	PUNCT
ap-9324	93	7	∫	∫	PROPN
ap-9324	93	8	t	t	PROPN
ap-9324	93	9	0	0	NUM
ap-9324	93	10	φi(s)ds	φi(s)ds	NUM
ap-9324	93	11	=	=	PUNCT
ap-9324	93	12			NOUN
ap-9324	93	13	0	0	NUM
ap-9324	93	14	0	0	NUM
ap-9324	93	15	≤	≤	NOUN
ap-9324	93	16	t	t	NOUN
ap-9324	93	17	<	<	X
ap-9324	94	1	(	(	PUNCT
ap-9324	94	2	i	i	PRON
ap-9324	94	3	−	−	PROPN
ap-9324	94	4	1)h	1)h	PROPN
ap-9324	94	5	,	,	PUNCT
ap-9324	94	6	t	t	PROPN
ap-9324	94	7	−	−	PROPN
ap-9324	95	1	(	(	PUNCT
ap-9324	95	2	i	i	PRON
ap-9324	95	3	−	−	PROPN
ap-9324	95	4	1)h	1)h	INTJ
ap-9324	95	5	(	(	PUNCT
ap-9324	95	6	i	i	PRON
ap-9324	95	7	−	−	PROPN
ap-9324	95	8	1)h	1)h	PROPN
ap-9324	95	9	≤	≤	PUNCT
ap-9324	95	10	t	t	X
ap-9324	95	11	<	<	X
ap-9324	95	12	ih	ih	X
ap-9324	95	13	,	,	PUNCT
ap-9324	95	14	h	h	NOUN
ap-9324	95	15	ih	ih	NOUN
ap-9324	96	1	≤	≤	NUM
ap-9324	96	2	t	t	X
ap-9324	96	3	<	<	X
ap-9324	96	4	t.	t.	X
ap-9324	96	5	(	(	PUNCT
ap-9324	96	6	9	9	NUM
ap-9324	96	7	)	)	PUNCT
ap-9324	96	8	note	note	NOUN
ap-9324	96	9	that	that	SCONJ
ap-9324	96	10	t	t	NOUN
ap-9324	97	1	−	−	PROPN
ap-9324	98	1	(	(	PUNCT
ap-9324	98	2	i	i	PRON
ap-9324	98	3	−	−	PROPN
ap-9324	98	4	1)h	1)h	PROPN
ap-9324	98	5	,	,	PUNCT
ap-9324	98	6	equals	equal	VERB
ap-9324	98	7	to	to	ADP
ap-9324	98	8	h	h	NOUN
ap-9324	98	9	2	2	NUM
ap-9324	98	10	at	at	ADP
ap-9324	98	11	mid	mid	NOUN
ap-9324	98	12	-	-	NOUN
ap-9324	98	13	point	point	NOUN
ap-9324	98	14	of	of	ADP
ap-9324	98	15	[	[	X
ap-9324	98	16	(	(	PUNCT
ap-9324	98	17	i	i	PRON
ap-9324	98	18	−	−	PROPN
ap-9324	98	19	1)h	1)h	NUM
ap-9324	98	20	,	,	PUNCT
ap-9324	98	21	ih	ih	NOUN
ap-9324	98	22	)	)	PUNCT
ap-9324	98	23	,	,	PUNCT
ap-9324	98	24	thus	thus	ADV
ap-9324	98	25	we	we	PRON
ap-9324	98	26	can	can	AUX
ap-9324	98	27	approximate	approximate	VERB
ap-9324	98	28	t	t	PROPN
ap-9324	98	29	−	−	PROPN
ap-9324	99	1	(	(	PUNCT
ap-9324	99	2	i	i	PRON
ap-9324	99	3	−	−	PROPN
ap-9324	100	1	1)h	1)h	NUM
ap-9324	100	2	,	,	PUNCT
ap-9324	100	3	for	for	ADP
ap-9324	100	4	(	(	PUNCT
ap-9324	100	5	i	i	PRON
ap-9324	100	6	−	−	PROPN
ap-9324	100	7	1)h	1)h	PROPN
ap-9324	100	8	≤	≤	PUNCT
ap-9324	101	1	t	t	X
ap-9324	101	2	<	<	X
ap-9324	101	3	ih	ih	X
ap-9324	101	4	,	,	PUNCT
ap-9324	101	5	by	by	ADP
ap-9324	101	6	h	h	PROPN
ap-9324	101	7	2	2	NUM
ap-9324	101	8	.	.	PUNCT
ap-9324	102	1	from	from	ADP
ap-9324	102	2	[	[	X
ap-9324	102	3	20	20	NUM
ap-9324	102	4	]	]	PUNCT
ap-9324	102	5	,	,	PUNCT
ap-9324	102	6	we	we	PRON
ap-9324	102	7	have	have	VERB
ap-9324	102	8	:	:	PUNCT
ap-9324	102	9	∫	∫	PROPN
ap-9324	102	10	t	t	PROPN
ap-9324	102	11	0	0	NUM
ap-9324	102	12	φ(s)ds	φ(s)ds	PROPN
ap-9324	102	13	=	=	SYM
ap-9324	102	14	pφ(t	pφ(t	X
ap-9324	102	15	)	)	PUNCT
ap-9324	102	16	.	.	PUNCT
ap-9324	103	1	(	(	PUNCT
ap-9324	103	2	10	10	NUM
ap-9324	103	3	)	)	PUNCT
ap-9324	103	4	as	as	SCONJ
ap-9324	103	5	shown	show	VERB
ap-9324	103	6	in	in	ADP
ap-9324	103	7	the	the	DET
ap-9324	103	8	operational	operational	ADJ
ap-9324	103	9	matrix	matrix	NOUN
ap-9324	103	10	of	of	ADP
ap-9324	103	11	integration	integration	NOUN
ap-9324	103	12	:	:	PUNCT
ap-9324	103	13	p	p	X
ap-9324	103	14	=	=	NOUN
ap-9324	103	15	h	h	NOUN
ap-9324	103	16	2	2	NUM
ap-9324	103	17			ADJ
ap-9324	103	18	1	1	NUM
ap-9324	103	19	2	2	NUM
ap-9324	103	20	2	2	NUM
ap-9324	103	21	·	·	PUNCT
ap-9324	103	22	·	·	PUNCT
ap-9324	103	23	·	·	PUNCT
ap-9324	104	1	2	2	NUM
ap-9324	104	2	0	0	NUM
ap-9324	104	3	1	1	NUM
ap-9324	104	4	2	2	NUM
ap-9324	104	5	·	·	PUNCT
ap-9324	104	6	·	·	PUNCT
ap-9324	104	7	·	·	PUNCT
ap-9324	104	8	2	2	NUM
ap-9324	104	9	0	0	NUM
ap-9324	104	10	0	0	NUM
ap-9324	104	11	1	1	NUM
ap-9324	104	12	·	·	PUNCT
ap-9324	104	13	·	·	PUNCT
ap-9324	104	14	·	·	PUNCT
ap-9324	104	15	2	2	NUM
ap-9324	104	16	...	...	PUNCT
ap-9324	104	17	...	...	PUNCT
ap-9324	104	18	...	...	PUNCT
ap-9324	104	19	.	.	PUNCT
ap-9324	104	20	.	.	PUNCT
ap-9324	104	21	.	.	PUNCT
ap-9324	104	22	...	...	PUNCT
ap-9324	105	1	0	0	NUM
ap-9324	105	2	0	0	NUM
ap-9324	105	3	0	0	NUM
ap-9324	105	4	·	·	PUNCT
ap-9324	105	5	·	·	PUNCT
ap-9324	105	6	·	·	PUNCT
ap-9324	106	1	1	1	X
ap-9324	106	2			PRON
ap-9324	106	3	m×m	m×m	ADJ
ap-9324	106	4	(	(	PUNCT
ap-9324	106	5	11	11	NUM
ap-9324	106	6	)	)	PUNCT
ap-9324	106	7	accordingly	accordingly	ADV
ap-9324	106	8	,	,	PUNCT
ap-9324	106	9	each	each	DET
ap-9324	106	10	integral	integral	ADJ
ap-9324	106	11	of	of	ADP
ap-9324	106	12	f(t	f(t	NOUN
ap-9324	106	13	)	)	PUNCT
ap-9324	106	14	can	can	AUX
ap-9324	106	15	be	be	AUX
ap-9324	106	16	approximated	approximate	VERB
ap-9324	106	17	as	as	ADP
ap-9324	106	18	follows:∫	follows:∫	NOUN
ap-9324	106	19	t	t	NOUN
ap-9324	106	20	0	0	NUM
ap-9324	106	21	f(s)ds	f(s)ds	PROPN
ap-9324	106	22	≃	≃	PROPN
ap-9324	106	23	∫	∫	PROPN
ap-9324	106	24	t	t	PROPN
ap-9324	106	25	0	0	NUM
ap-9324	107	1	f	f	PROPN
ap-9324	107	2	t	t	PROPN
ap-9324	107	3	φ(s)ds	φ(s)ds	ADP
ap-9324	107	4	≃	≃	PROPN
ap-9324	107	5	f	f	PROPN
ap-9324	107	6	t	t	PROPN
ap-9324	107	7	pφ(t	pφ(t	ADV
ap-9324	107	8	)	)	PUNCT
ap-9324	107	9	.	.	PUNCT
ap-9324	108	1	(	(	PUNCT
ap-9324	108	2	12	12	NUM
ap-9324	108	3	)	)	PUNCT
ap-9324	108	4	2.3	2.3	NUM
ap-9324	108	5	.	.	PUNCT
ap-9324	109	1	the	the	DET
ap-9324	109	2	operational	operational	ADJ
ap-9324	109	3	matrix	matrix	NOUN
ap-9324	109	4	with	with	ADP
ap-9324	109	5	time	time	NOUN
ap-9324	109	6	delay	delay	NOUN
ap-9324	109	7	of	of	ADP
ap-9324	109	8	bpfs	bpf	NOUN
ap-9324	109	9	the	the	DET
ap-9324	109	10	delay	delay	NOUN
ap-9324	109	11	time	time	NOUN
ap-9324	109	12	is	be	AUX
ap-9324	109	13	τ	τ	PROPN
ap-9324	109	14	=	=	PUNCT
ap-9324	109	15	(	(	PUNCT
ap-9324	109	16	q	q	PROPN
ap-9324	109	17	+	+	CCONJ
ap-9324	109	18	λ)h	λ)h	X
ap-9324	109	19	with	with	ADP
ap-9324	109	20	an	an	DET
ap-9324	109	21	integer	integer	NOUN
ap-9324	109	22	q	q	PROPN
ap-9324	109	23	≥	≥	NOUN
ap-9324	109	24	0	0	NUM
ap-9324	109	25	,	,	PUNCT
ap-9324	109	26	and	and	CCONJ
ap-9324	109	27	a	a	DET
ap-9324	109	28	fraction	fraction	NOUN
ap-9324	109	29	0	0	NUM
ap-9324	109	30	≤	≤	NUM
ap-9324	110	1	λ	λ	X
ap-9324	110	2	<	<	X
ap-9324	110	3	1	1	NUM
ap-9324	110	4	,	,	PUNCT
ap-9324	110	5	where	where	SCONJ
ap-9324	110	6	the	the	DET
ap-9324	110	7	operational	operational	ADJ
ap-9324	110	8	matrix	matrix	NOUN
ap-9324	110	9	of	of	ADP
ap-9324	110	10	approximation	approximation	NOUN
ap-9324	110	11	is	be	AUX
ap-9324	110	12	expressed	express	VERB
ap-9324	110	13	as	as	ADP
ap-9324	110	14	the	the	DET
ap-9324	110	15	time	time	NOUN
ap-9324	110	16	delay	delay	NOUN
ap-9324	110	17	τ	τ	PROPN
ap-9324	110	18	=	=	SYM
ap-9324	110	19	qh	qh	PROPN
ap-9324	110	20	,	,	PUNCT
ap-9324	110	21	yields	yield	NOUN
ap-9324	110	22	:	:	PUNCT
ap-9324	110	23	ϕi(t	ϕi(t	PUNCT
ap-9324	110	24	−	−	PROPN
ap-9324	110	25	qh	qh	NOUN
ap-9324	110	26	)	)	PUNCT
ap-9324	110	27	=	=	PRON
ap-9324	110	28	{	{	PUNCT
ap-9324	110	29	ϕi+q(t	ϕi+q(t	PROPN
ap-9324	110	30	)	)	PUNCT
ap-9324	110	31	i	i	PRON
ap-9324	110	32	≤	≤	NUM
ap-9324	110	33	m	m	VERB
ap-9324	110	34	−	−	NOUN
ap-9324	111	1	q	q	ADJ
ap-9324	111	2	,	,	PUNCT
ap-9324	111	3	0	0	PUNCT
ap-9324	112	1	i	i	PRON
ap-9324	112	2	>	>	X
ap-9324	112	3	m	m	VERB
ap-9324	113	1	−	−	PROPN
ap-9324	113	2	q	q	ADJ
ap-9324	113	3	,	,	PUNCT
ap-9324	113	4	(	(	PUNCT
ap-9324	113	5	13	13	NUM
ap-9324	113	6	)	)	PUNCT
ap-9324	113	7	and	and	CCONJ
ap-9324	113	8	the	the	DET
ap-9324	113	9	function	function	NOUN
ap-9324	113	10	containing	contain	VERB
ap-9324	113	11	time	time	NOUN
ap-9324	113	12	delay	delay	NOUN
ap-9324	113	13	,	,	PUNCT
ap-9324	113	14	yields	yield	VERB
ap-9324	113	15	:	:	PUNCT
ap-9324	113	16	ϕi(t	ϕi(t	NOUN
ap-9324	113	17	−	−	PROPN
ap-9324	113	18	τ	τ	X
ap-9324	113	19	)	)	PUNCT
ap-9324	113	20	=	=	PUNCT
ap-9324	114	1			PROPN
ap-9324	114	2	ϕi+q(t	ϕi+q(t	PROPN
ap-9324	114	3	)	)	PUNCT
ap-9324	115	1	+	+	CCONJ
ap-9324	115	2	ϕλ(t	ϕλ(t	NUM
ap-9324	115	3	−	−	PROPN
ap-9324	116	1	(	(	PUNCT
ap-9324	116	2	i	i	PRON
ap-9324	116	3	+	+	NOUN
ap-9324	116	4	q)h	q)h	NOUN
ap-9324	116	5	)	)	PUNCT
ap-9324	116	6	−	−	ADP
ap-9324	116	7	ϕλ(t	ϕλ(t	PUNCT
ap-9324	116	8	−	−	PROPN
ap-9324	117	1	(	(	PUNCT
ap-9324	117	2	i	i	PRON
ap-9324	117	3	+	+	CCONJ
ap-9324	117	4	q	q	ADJ
ap-9324	117	5	−	−	PROPN
ap-9324	117	6	1)h	1)h	NUM
ap-9324	117	7	)	)	PUNCT
ap-9324	118	1	i	i	PRON
ap-9324	118	2	<	<	X
ap-9324	118	3	m	m	VERB
ap-9324	118	4	−	−	PROPN
ap-9324	118	5	q	q	ADJ
ap-9324	118	6	,	,	PUNCT
ap-9324	118	7	ϕi+q(t	ϕi+q(t	PROPN
ap-9324	118	8	)	)	PUNCT
ap-9324	118	9	−	−	ADP
ap-9324	118	10	ϕλ(t	ϕλ(t	PUNCT
ap-9324	119	1	−	−	PROPN
ap-9324	120	1	(	(	PUNCT
ap-9324	120	2	i	i	PRON
ap-9324	120	3	+	+	CCONJ
ap-9324	120	4	q	q	ADJ
ap-9324	120	5	−	−	PROPN
ap-9324	120	6	1)h	1)h	NUM
ap-9324	120	7	)	)	PUNCT
ap-9324	121	1	i	i	PRON
ap-9324	121	2	=	=	NOUN
ap-9324	121	3	m	m	VERB
ap-9324	121	4	−	−	NOUN
ap-9324	122	1	q	q	ADJ
ap-9324	122	2	,	,	PUNCT
ap-9324	122	3	0	0	PUNCT
ap-9324	123	1	i	i	PRON
ap-9324	123	2	>	>	X
ap-9324	123	3	m	m	VERB
ap-9324	124	1	−	−	NOUN
ap-9324	124	2	q	q	NOUN
ap-9324	124	3	,	,	PUNCT
ap-9324	124	4	(	(	PUNCT
ap-9324	124	5	14	14	NUM
ap-9324	124	6	)	)	PUNCT
ap-9324	124	7	130	130	NUM
ap-9324	124	8	vol	vol	NOUN
ap-9324	124	9	.	.	PUNCT
ap-9324	125	1	64	64	NUM
ap-9324	125	2	no	no	NOUN
ap-9324	125	3	.	.	PUNCT
ap-9324	126	1	2/2024	2/2024	NUM
ap-9324	126	2	stochastic	stochastic	ADJ
ap-9324	126	3	volterra	volterra	NOUN
ap-9324	126	4	-	-	PUNCT
ap-9324	126	5	fredholm	fredholm	NOUN
ap-9324	126	6	with	with	ADP
ap-9324	126	7	delay	delay	NOUN
ap-9324	126	8	alternatively	alternatively	ADV
ap-9324	126	9	,	,	PUNCT
ap-9324	126	10	as	as	ADP
ap-9324	126	11	vectors	vector	NOUN
ap-9324	126	12	:	:	PUNCT
ap-9324	126	13	ϕi(t	ϕi(t	X
ap-9324	126	14	−	−	PROPN
ap-9324	126	15	τ	τ	X
ap-9324	126	16	)	)	PUNCT
ap-9324	126	17	=	=	SYM
ap-9324	126	18	∆t	∆t	PROPN
ap-9324	126	19	i	i	PRON
ap-9324	126	20	hqφ(t	hqφ(t	PROPN
ap-9324	126	21	)	)	PUNCT
ap-9324	126	22	−	−	PROPN
ap-9324	126	23	∆t	∆t	PROPN
ap-9324	126	24	i	i	PRON
ap-9324	126	25	hqφλ(t	hqφλ(t	PROPN
ap-9324	126	26	)	)	PUNCT
ap-9324	126	27	+	+	NUM
ap-9324	126	28	∆t	∆t	PROPN
ap-9324	126	29	i	i	PRON
ap-9324	126	30	hq+1φλ(t	hq+1φλ(t	NOUN
ap-9324	126	31	)	)	PUNCT
ap-9324	126	32	.	.	PUNCT
ap-9324	127	1	we	we	PRON
ap-9324	127	2	expand	expand	VERB
ap-9324	127	3	the	the	DET
ap-9324	127	4	function	function	NOUN
ap-9324	127	5	ϕi(t	ϕi(t	PUNCT
ap-9324	127	6	−	−	ADV
ap-9324	127	7	τ	τ	PROPN
ap-9324	127	8	)	)	PUNCT
ap-9324	127	9	into	into	ADP
ap-9324	127	10	its	its	PRON
ap-9324	127	11	block	block	NOUN
ap-9324	127	12	pulse	pulse	NOUN
ap-9324	127	13	series	series	NOUN
ap-9324	127	14	to	to	PART
ap-9324	127	15	avoid	avoid	VERB
ap-9324	127	16	the	the	DET
ap-9324	127	17	expression	expression	NOUN
ap-9324	127	18	φλ(t	φλ(t	PUNCT
ap-9324	127	19	)	)	PUNCT
ap-9324	127	20	in	in	ADP
ap-9324	127	21	the	the	DET
ap-9324	127	22	above	above	ADJ
ap-9324	127	23	equation	equation	NOUN
ap-9324	127	24	:	:	PUNCT
ap-9324	127	25	ϕi(t	ϕi(t	PUNCT
ap-9324	127	26	−	−	PROPN
ap-9324	127	27	τ	τ	X
ap-9324	127	28	)	)	PUNCT
ap-9324	127	29	=	=	SYM
ap-9324	127	30	(	(	PUNCT
ap-9324	127	31	ci,1	ci,1	PROPN
ap-9324	127	32	ci,2	ci,2	PROPN
ap-9324	127	33	·	·	PUNCT
ap-9324	127	34	·	·	PUNCT
ap-9324	127	35	·	·	PUNCT
ap-9324	127	36	ci	ci	PROPN
ap-9324	127	37	,	,	PUNCT
ap-9324	127	38	m)φ(t	m)φ(t	NOUN
ap-9324	127	39	)	)	PUNCT
ap-9324	127	40	(	(	PUNCT
ap-9324	127	41	15	15	NUM
ap-9324	127	42	)	)	PUNCT
ap-9324	127	43	while	while	SCONJ
ap-9324	127	44	ci	ci	PROPN
ap-9324	127	45	,	,	PUNCT
ap-9324	127	46	j	j	PROPN
ap-9324	127	47	(	(	PUNCT
ap-9324	127	48	j	j	PROPN
ap-9324	127	49	=	=	SYM
ap-9324	127	50	1	1	NUM
ap-9324	127	51	,	,	PUNCT
ap-9324	127	52	2	2	NUM
ap-9324	127	53	·	·	PUNCT
ap-9324	127	54	·	·	PUNCT
ap-9324	127	55	·	·	PUNCT
ap-9324	127	56	,	,	PUNCT
ap-9324	127	57	m	m	VERB
ap-9324	127	58	)	)	PUNCT
ap-9324	127	59	are	be	AUX
ap-9324	127	60	:	:	PUNCT
ap-9324	127	61	ci	ci	NOUN
ap-9324	127	62	,	,	PUNCT
ap-9324	127	63	j	j	PROPN
ap-9324	128	1	=	=	SYM
ap-9324	129	1	1	1	NUM
ap-9324	130	1	h	h	NOUN
ap-9324	130	2	∫	∫	PROPN
ap-9324	130	3	t	t	PROPN
ap-9324	130	4	0	0	NUM
ap-9324	130	5	ϕi(t	ϕi(t	PUNCT
ap-9324	130	6	−	−	NOUN
ap-9324	130	7	τ)ϕj(t)dt	τ)ϕj(t)dt	PROPN
ap-9324	130	8	=	=	SYM
ap-9324	130	9	1	1	NUM
ap-9324	130	10	h	h	NOUN
ap-9324	130	11	∫	∫	PROPN
ap-9324	130	12	jh	jh	PROPN
ap-9324	130	13	(	(	PUNCT
ap-9324	130	14	j−1)h	j−1)h	INTJ
ap-9324	130	15	ϕi(t	ϕi(t	PUNCT
ap-9324	130	16	−	−	PROPN
ap-9324	130	17	τ)dt	τ)dt	NOUN
ap-9324	130	18	=	=	SYM
ap-9324	130	19	1	1	NUM
ap-9324	130	20	h	h	NOUN
ap-9324	130	21	∆t	∆t	NOUN
ap-9324	131	1	i	i	PRON
ap-9324	131	2	hq	hq	INTJ
ap-9324	131	3	(	(	PUNCT
ap-9324	131	4	∫	∫	PROPN
ap-9324	131	5	jh	jh	PROPN
ap-9324	131	6	(	(	PUNCT
ap-9324	131	7	j−1)h	j−1)h	PROPN
ap-9324	131	8	φ(t)dt	φ(t)dt	NUM
ap-9324	131	9	−	−	PROPN
ap-9324	131	10	∫	∫	PROPN
ap-9324	131	11	jh	jh	PROPN
ap-9324	131	12	(	(	PUNCT
ap-9324	131	13	j−1)h	j−1)h	PROPN
ap-9324	131	14	φλ(t)dt	φλ(t)dt	NOUN
ap-9324	131	15	+	+	CCONJ
ap-9324	131	16	h	h	NOUN
ap-9324	131	17	∫	∫	PROPN
ap-9324	131	18	jh	jh	PROPN
ap-9324	131	19	(	(	PUNCT
ap-9324	131	20	j−1)h	j−1)h	PROPN
ap-9324	131	21	φλ(t)dt	φλ(t)dt	NOUN
ap-9324	131	22	)	)	PUNCT
ap-9324	131	23	=	=	SYM
ap-9324	131	24	∆t	∆t	PROPN
ap-9324	132	1	i	i	PRON
ap-9324	132	2	(	(	PUNCT
ap-9324	132	3	(	(	PUNCT
ap-9324	132	4	1	1	NUM
ap-9324	132	5	−	−	PROPN
ap-9324	132	6	λ)hq	λ)hq	PROPN
ap-9324	132	7	+	+	CCONJ
ap-9324	132	8	λhq+1)∆j	λhq+1)∆j	PROPN
ap-9324	132	9	.	.	PUNCT
ap-9324	133	1	(	(	PUNCT
ap-9324	133	2	16	16	NUM
ap-9324	133	3	)	)	PUNCT
ap-9324	133	4	we	we	PRON
ap-9324	133	5	can	can	AUX
ap-9324	133	6	develop	develop	VERB
ap-9324	133	7	the	the	DET
ap-9324	133	8	whole	whole	ADJ
ap-9324	133	9	block	block	NOUN
ap-9324	133	10	pulse	pulse	NOUN
ap-9324	133	11	function	function	NOUN
ap-9324	133	12	vector	vector	NOUN
ap-9324	133	13	containing	contain	VERB
ap-9324	133	14	time	time	NOUN
ap-9324	133	15	delay	delay	NOUN
ap-9324	133	16	τ	τ	PROPN
ap-9324	133	17	=	=	PUNCT
ap-9324	133	18	(	(	PUNCT
ap-9324	133	19	q	q	PROPN
ap-9324	134	1	+	+	CCONJ
ap-9324	134	2	λ)h	λ)h	X
ap-9324	134	3	into	into	ADP
ap-9324	134	4	its	its	PRON
ap-9324	134	5	block	block	NOUN
ap-9324	134	6	pulse	pulse	NOUN
ap-9324	134	7	series	series	NOUN
ap-9324	134	8	in	in	ADP
ap-9324	134	9	a	a	DET
ap-9324	134	10	vector	vector	NOUN
ap-9324	134	11	form	form	NOUN
ap-9324	134	12	by	by	ADP
ap-9324	134	13	noting	note	VERB
ap-9324	134	14	that	that	SCONJ
ap-9324	134	15	the	the	DET
ap-9324	134	16	expression	expression	NOUN
ap-9324	134	17	∆t	∆t	PROPN
ap-9324	134	18	i	i	PRON
ap-9324	134	19	(	(	PUNCT
ap-9324	134	20	(	(	PUNCT
ap-9324	134	21	1	1	NUM
ap-9324	134	22	−	−	PROPN
ap-9324	134	23	λ)hq	λ)hq	NOUN
ap-9324	134	24	+	+	CCONJ
ap-9324	134	25	λhq+1)∆j	λhq+1)∆j	PROPN
ap-9324	134	26	is	be	AUX
ap-9324	134	27	just	just	ADV
ap-9324	134	28	one	one	NUM
ap-9324	134	29	entry	entry	NOUN
ap-9324	134	30	of	of	ADP
ap-9324	134	31	the	the	DET
ap-9324	134	32	matrix	matrix	NOUN
ap-9324	134	33	(	(	PUNCT
ap-9324	134	34	(	(	PUNCT
ap-9324	134	35	1	1	NUM
ap-9324	134	36	−	−	PROPN
ap-9324	134	37	λ)hq	λ)hq	PROPN
ap-9324	134	38	+	+	CCONJ
ap-9324	134	39	λhq+1	λhq+1	ADJ
ap-9324	134	40	)	)	PUNCT
ap-9324	134	41	with	with	ADP
ap-9324	134	42	ith	ith	PROPN
ap-9324	134	43	row	row	NOUN
ap-9324	134	44	and	and	CCONJ
ap-9324	134	45	jth	jth	PROPN
ap-9324	134	46	column	column	PROPN
ap-9324	134	47	:	:	PUNCT
ap-9324	134	48	φ(t	φ(t	PROPN
ap-9324	134	49	−	−	PROPN
ap-9324	134	50	τ	τ	PROPN
ap-9324	134	51	)	)	PUNCT
ap-9324	134	52	=	=	SYM
ap-9324	134	53	(	(	PUNCT
ap-9324	134	54	(	(	PUNCT
ap-9324	134	55	1	1	NUM
ap-9324	134	56	−	−	PROPN
ap-9324	134	57	λ)hq	λ)hq	NOUN
ap-9324	134	58	+	+	CCONJ
ap-9324	134	59	λhq+1)φ(t	λhq+1)φ(t	NOUN
ap-9324	134	60	)	)	PUNCT
ap-9324	134	61	.	.	PUNCT
ap-9324	135	1	(	(	PUNCT
ap-9324	135	2	17	17	NUM
ap-9324	135	3	)	)	PUNCT
ap-9324	135	4	usually	usually	ADV
ap-9324	135	5	,	,	PUNCT
ap-9324	135	6	the	the	DET
ap-9324	135	7	matrix	matrix	NOUN
ap-9324	135	8	(	(	PUNCT
ap-9324	135	9	1	1	NUM
ap-9324	135	10	−	−	NOUN
ap-9324	135	11	λ)hq	λ)hq	NOUN
ap-9324	135	12	+	+	CCONJ
ap-9324	135	13	λhq+1	λhq+1	NOUN
ap-9324	135	14	is	be	AUX
ap-9324	135	15	referred	refer	VERB
ap-9324	135	16	to	to	ADP
ap-9324	135	17	as	as	ADP
ap-9324	135	18	the	the	DET
ap-9324	135	19	delay	delay	NOUN
ap-9324	135	20	operational	operational	ADJ
ap-9324	135	21	matrix	matrix	NOUN
ap-9324	135	22	.	.	PUNCT
ap-9324	136	1	to	to	PART
ap-9324	136	2	put	put	VERB
ap-9324	136	3	it	it	PRON
ap-9324	136	4	in	in	ADP
ap-9324	136	5	more	more	ADJ
ap-9324	136	6	concrete	concrete	ADJ
ap-9324	136	7	terms	term	NOUN
ap-9324	136	8	:	:	PUNCT
ap-9324	136	9	(	(	PUNCT
ap-9324	136	10	1	1	NUM
ap-9324	136	11	−	−	NOUN
ap-9324	136	12	λ)hq	λ)hq	NOUN
ap-9324	136	13	+	+	CCONJ
ap-9324	136	14	λhq+1	λhq+1	X
ap-9324	136	15	=	=	X
ap-9324	136	16			NOUN
ap-9324	136	17	(	(	PUNCT
ap-9324	136	18	q	q	PROPN
ap-9324	136	19	+	+	NUM
ap-9324	136	20	1)th︸	1)th︸	NUM
ap-9324	136	21	︷︷	︷︷	NOUN
ap-9324	136	22	︸	︸	ADP
ap-9324	136	23	0	0	NUM
ap-9324	136	24	·	·	PUNCT
ap-9324	136	25	·	·	PUNCT
ap-9324	137	1	·	·	PUNCT
ap-9324	137	2	0	0	NUM
ap-9324	138	1	1	1	NUM
ap-9324	138	2	−	−	PROPN
ap-9324	138	3	λ	λ	X
ap-9324	138	4	λ	λ	X
ap-9324	138	5	0	0	PUNCT
ap-9324	138	6	·	·	PUNCT
ap-9324	138	7	·	·	PUNCT
ap-9324	138	8	·	·	PUNCT
ap-9324	138	9	0	0	NUM
ap-9324	138	10	0	0	NUM
ap-9324	138	11	·	·	PUNCT
ap-9324	138	12	·	·	PUNCT
ap-9324	138	13	·	·	PUNCT
ap-9324	138	14	0	0	NUM
ap-9324	138	15	0	0	NUM
ap-9324	138	16	1	1	NUM
ap-9324	138	17	−	−	PROPN
ap-9324	138	18	λ	λ	X
ap-9324	138	19	λ	λ	X
ap-9324	138	20	·	·	PUNCT
ap-9324	138	21	·	·	PUNCT
ap-9324	138	22	·	·	PUNCT
ap-9324	138	23	0	0	NUM
ap-9324	138	24	...	...	PUNCT
ap-9324	138	25	·	·	PUNCT
ap-9324	138	26	·	·	PUNCT
ap-9324	138	27	·	·	PUNCT
ap-9324	138	28	...	...	PUNCT
ap-9324	138	29	...	...	PUNCT
ap-9324	138	30	...	...	PUNCT
ap-9324	138	31	...	...	PUNCT
ap-9324	138	32	.	.	PUNCT
ap-9324	138	33	.	.	PUNCT
ap-9324	138	34	.	.	PUNCT
ap-9324	139	1	...	...	PUNCT
ap-9324	140	1	0	0	NUM
ap-9324	140	2	·	·	PUNCT
ap-9324	141	1	·	·	PUNCT
ap-9324	141	2	·	·	PUNCT
ap-9324	141	3	0	0	NUM
ap-9324	141	4	0	0	NUM
ap-9324	141	5	0	0	NUM
ap-9324	141	6	0	0	NUM
ap-9324	141	7	·	·	PUNCT
ap-9324	141	8	·	·	PUNCT
ap-9324	142	1	·	·	PUNCT
ap-9324	142	2	λ	λ	NOUN
ap-9324	142	3	0	0	PUNCT
ap-9324	142	4	·	·	PUNCT
ap-9324	142	5	·	·	PUNCT
ap-9324	142	6	·	·	PUNCT
ap-9324	142	7	0	0	NUM
ap-9324	142	8	0	0	NUM
ap-9324	142	9	0	0	NUM
ap-9324	142	10	0	0	NUM
ap-9324	142	11	·	·	PUNCT
ap-9324	142	12	·	·	PUNCT
ap-9324	142	13	·	·	PUNCT
ap-9324	143	1	1	1	NUM
ap-9324	143	2	−	−	PROPN
ap-9324	143	3	λ	λ	NOUN
ap-9324	143	4	0	0	PUNCT
ap-9324	143	5	·	·	PUNCT
ap-9324	143	6	·	·	PUNCT
ap-9324	143	7	·	·	PUNCT
ap-9324	143	8	0	0	NUM
ap-9324	143	9	0	0	NUM
ap-9324	143	10	0	0	NUM
ap-9324	143	11	0	0	NUM
ap-9324	143	12	·	·	PUNCT
ap-9324	143	13	·	·	PUNCT
ap-9324	143	14	·	·	PUNCT
ap-9324	143	15	0	0	NUM
ap-9324	143	16	...	...	PUNCT
ap-9324	143	17	·	·	PUNCT
ap-9324	143	18	·	·	PUNCT
ap-9324	143	19	·	·	PUNCT
ap-9324	143	20	...	...	PUNCT
ap-9324	143	21	...	...	PUNCT
ap-9324	143	22	...	...	PUNCT
ap-9324	143	23	...	...	PUNCT
ap-9324	143	24	·	·	PUNCT
ap-9324	143	25	·	·	PUNCT
ap-9324	143	26	·	·	PUNCT
ap-9324	143	27	...	...	PUNCT
ap-9324	143	28	0	0	PUNCT
ap-9324	143	29	·	·	PUNCT
ap-9324	143	30	·	·	PUNCT
ap-9324	143	31	·	·	PUNCT
ap-9324	143	32	0	0	NUM
ap-9324	143	33	0	0	NUM
ap-9324	143	34	0	0	NUM
ap-9324	143	35	0	0	NUM
ap-9324	143	36	·	·	PUNCT
ap-9324	143	37	·	·	PUNCT
ap-9324	143	38	·	·	PUNCT
ap-9324	143	39	0	0	PUNCT
ap-9324	144	1			INTJ
ap-9324	144	2	.	.	PUNCT
ap-9324	145	1	(	(	PUNCT
ap-9324	145	2	18	18	NUM
ap-9324	145	3	)	)	PUNCT
ap-9324	145	4	it	it	PRON
ap-9324	145	5	is	be	AUX
ap-9324	145	6	possible	possible	ADJ
ap-9324	145	7	to	to	PART
ap-9324	145	8	obtain	obtain	VERB
ap-9324	145	9	the	the	DET
ap-9324	145	10	block	block	NOUN
ap-9324	145	11	pulse	pulse	NOUN
ap-9324	145	12	series	series	NOUN
ap-9324	145	13	of	of	ADP
ap-9324	145	14	a	a	DET
ap-9324	145	15	function	function	NOUN
ap-9324	145	16	with	with	ADP
ap-9324	145	17	time	time	NOUN
ap-9324	145	18	delay	delay	NOUN
ap-9324	145	19	τ	τ	PROPN
ap-9324	145	20	=	=	PUNCT
ap-9324	145	21	(	(	PUNCT
ap-9324	145	22	q	q	PROPN
ap-9324	146	1	+	+	CCONJ
ap-9324	146	2	λ)h	λ)h	PUNCT
ap-9324	146	3	by	by	ADP
ap-9324	146	4	using	use	VERB
ap-9324	146	5	equation	equation	NOUN
ap-9324	146	6	(	(	PUNCT
ap-9324	146	7	17	17	NUM
ap-9324	146	8	):	):	PUNCT
ap-9324	146	9	f(t	f(t	PROPN
ap-9324	146	10	−	−	PROPN
ap-9324	146	11	τ	τ	NOUN
ap-9324	146	12	)	)	PUNCT
ap-9324	146	13	≃	≃	PROPN
ap-9324	146	14	f	f	PROPN
ap-9324	146	15	t	t	PROPN
ap-9324	146	16	φ(t	φ(t	PROPN
ap-9324	146	17	−	−	PROPN
ap-9324	146	18	τ	τ	PROPN
ap-9324	146	19	)	)	PUNCT
ap-9324	146	20	=	=	PUNCT
ap-9324	146	21	f	f	PROPN
ap-9324	146	22	t	t	PROPN
ap-9324	146	23	(	(	PUNCT
ap-9324	146	24	(	(	PUNCT
ap-9324	146	25	1	1	NUM
ap-9324	146	26	−	−	PROPN
ap-9324	146	27	λ)hq	λ)hq	NOUN
ap-9324	146	28	+	+	CCONJ
ap-9324	146	29	λhq+1)φ(t	λhq+1)φ(t	NOUN
ap-9324	146	30	)	)	PUNCT
ap-9324	146	31	.	.	PUNCT
ap-9324	147	1	(	(	PUNCT
ap-9324	147	2	19	19	NUM
ap-9324	147	3	)	)	PUNCT
ap-9324	147	4	3	3	NUM
ap-9324	147	5	.	.	PUNCT
ap-9324	147	6	stochastic	stochastic	ADJ
ap-9324	147	7	integration	integration	NOUN
ap-9324	147	8	operational	operational	ADJ
ap-9324	147	9	matrix	matrix	NOUN
ap-9324	147	10	the	the	DET
ap-9324	147	11	integral	integral	NOUN
ap-9324	147	12	of	of	ADP
ap-9324	147	13	itô	itô	NOUN
ap-9324	147	14	of	of	ADP
ap-9324	147	15	a	a	DET
ap-9324	147	16	single	single	ADJ
ap-9324	147	17	bpf	bpf	NOUN
ap-9324	147	18	ϕi(t	ϕi(t	NOUN
ap-9324	147	19	)	)	PUNCT
ap-9324	147	20	can	can	AUX
ap-9324	147	21	be	be	AUX
ap-9324	147	22	computed	compute	VERB
ap-9324	147	23	as	as	SCONJ
ap-9324	147	24	follows	follow	VERB
ap-9324	147	25	:	:	PUNCT
ap-9324	147	26	∫	∫	PROPN
ap-9324	147	27	t	t	PROPN
ap-9324	147	28	0	0	NUM
ap-9324	147	29	ϕi(s)db(s	ϕi(s)db(	NOUN
ap-9324	147	30	)	)	PUNCT
ap-9324	148	1	=	=	PUNCT
ap-9324	149	1			NOUN
ap-9324	149	2	0	0	NUM
ap-9324	149	3	0	0	NUM
ap-9324	149	4	≤	≤	NOUN
ap-9324	149	5	t	t	NOUN
ap-9324	149	6	<	<	X
ap-9324	150	1	(	(	PUNCT
ap-9324	150	2	i	i	PRON
ap-9324	150	3	−	−	PROPN
ap-9324	150	4	1)h	1)h	NUM
ap-9324	150	5	,	,	PUNCT
ap-9324	150	6	b(t	b(t	NOUN
ap-9324	150	7	)	)	PUNCT
ap-9324	150	8	−	−	ADP
ap-9324	150	9	b((i	b((i	NOUN
ap-9324	150	10	−	−	PROPN
ap-9324	150	11	1)h	1)h	NUM
ap-9324	150	12	)	)	PUNCT
ap-9324	150	13	,	,	PUNCT
ap-9324	150	14	(	(	PUNCT
ap-9324	150	15	i	i	PRON
ap-9324	150	16	−	−	VERB
ap-9324	150	17	1)h	1)h	PROPN
ap-9324	150	18	≤	≤	PUNCT
ap-9324	150	19	t	t	X
ap-9324	150	20	<	<	X
ap-9324	150	21	ih	ih	X
ap-9324	150	22	,	,	PUNCT
ap-9324	150	23	b(ih	b(ih	NOUN
ap-9324	150	24	)	)	PUNCT
ap-9324	151	1	−	−	ADP
ap-9324	151	2	b((i	b((i	NOUN
ap-9324	151	3	−	−	PROPN
ap-9324	151	4	1)h	1)h	NUM
ap-9324	151	5	)	)	PUNCT
ap-9324	151	6	,	,	PUNCT
ap-9324	151	7	ih	ih	NOUN
ap-9324	151	8	≤	≤	PROPN
ap-9324	151	9	t	t	X
ap-9324	151	10	<	<	X
ap-9324	151	11	t.	t.	PROPN
ap-9324	151	12	(	(	PUNCT
ap-9324	151	13	20	20	NUM
ap-9324	151	14	)	)	PUNCT
ap-9324	151	15	now	now	ADV
ap-9324	151	16	expressing	express	VERB
ap-9324	151	17	∫	∫	PROPN
ap-9324	151	18	t	t	PROPN
ap-9324	151	19	0	0	NUM
ap-9324	151	20	ϕi(s)db(s	ϕi(s)db(	NOUN
ap-9324	151	21	)	)	PUNCT
ap-9324	151	22	,	,	PUNCT
ap-9324	151	23	in	in	ADP
ap-9324	151	24	terms	term	NOUN
ap-9324	151	25	of	of	ADP
ap-9324	151	26	the	the	DET
ap-9324	151	27	bpfs	bpfs	PROPN
ap-9324	151	28	follows:∫	follows:∫	PROPN
ap-9324	151	29	t	t	NOUN
ap-9324	151	30	0	0	NUM
ap-9324	151	31	ϕi(s)db(s	ϕi(s)db(	NOUN
ap-9324	151	32	)	)	PUNCT
ap-9324	151	33	≃	≃	NOUN
ap-9324	151	34	(	(	PUNCT
ap-9324	151	35	b(ih/2	b(ih/2	NOUN
ap-9324	151	36	)	)	PUNCT
ap-9324	151	37	−	−	PROPN
ap-9324	152	1	b(i	b(i	NUM
ap-9324	152	2	−	−	PROPN
ap-9324	152	3	1)h/2	1)h/2	NUM
ap-9324	152	4	)	)	PUNCT
ap-9324	152	5	ϕi(t	ϕi(t	NOUN
ap-9324	152	6	)	)	PUNCT
ap-9324	153	1	+	+	CCONJ
ap-9324	153	2	(	(	PUNCT
ap-9324	153	3	b(ih	b(ih	NOUN
ap-9324	153	4	)	)	PUNCT
ap-9324	153	5	−	−	NOUN
ap-9324	153	6	b((i	b((i	NOUN
ap-9324	153	7	−	−	NOUN
ap-9324	153	8	1)h	1)h	NUM
ap-9324	153	9	)	)	PUNCT
ap-9324	153	10	)	)	PUNCT
ap-9324	154	1	m∑	m∑	VERB
ap-9324	154	2	j	j	X
ap-9324	155	1	=	=	PROPN
ap-9324	155	2	i+1	i+1	NUM
ap-9324	155	3	ϕj(t	ϕj(t	PUNCT
ap-9324	155	4	)	)	PUNCT
ap-9324	155	5	.	.	PUNCT
ap-9324	156	1	(	(	PUNCT
ap-9324	156	2	21	21	NUM
ap-9324	156	3	)	)	PUNCT
ap-9324	156	4	therefore	therefore	ADV
ap-9324	156	5	:	:	PUNCT
ap-9324	156	6	∫	∫	PROPN
ap-9324	156	7	t	t	PROPN
ap-9324	156	8	0	0	NUM
ap-9324	156	9	φ(s)db(s	φ(s)db(	NOUN
ap-9324	156	10	)	)	PUNCT
ap-9324	156	11	≃	≃	PROPN
ap-9324	156	12	psφ(t	psφ(t	PROPN
ap-9324	156	13	)	)	PUNCT
ap-9324	156	14	.	.	PUNCT
ap-9324	157	1	(	(	PUNCT
ap-9324	157	2	22	22	NUM
ap-9324	157	3	)	)	PUNCT
ap-9324	157	4	in	in	ADP
ap-9324	157	5	this	this	DET
ap-9324	157	6	case	case	NOUN
ap-9324	157	7	,	,	PUNCT
ap-9324	157	8	the	the	DET
ap-9324	157	9	stochastic	stochastic	ADJ
ap-9324	157	10	operational	operational	ADJ
ap-9324	157	11	matrix	matrix	NOUN
ap-9324	157	12	of	of	ADP
ap-9324	157	13	integration	integration	NOUN
ap-9324	157	14	can	can	AUX
ap-9324	157	15	be	be	AUX
ap-9324	157	16	expressed	express	VERB
ap-9324	157	17	as	as	SCONJ
ap-9324	157	18	follows	follow	VERB
ap-9324	157	19	:	:	PUNCT
ap-9324	157	20	ps	ps	NOUN
ap-9324	157	21	=	=	SYM
ap-9324	157	22			ADJ
ap-9324	157	23	γ1	γ1	PROPN
ap-9324	157	24	ρ1	ρ1	PROPN
ap-9324	157	25	ρ1	ρ1	NOUN
ap-9324	157	26	·	·	PUNCT
ap-9324	157	27	·	·	PUNCT
ap-9324	158	1	·	·	PUNCT
ap-9324	158	2	ρ1	ρ1	NOUN
ap-9324	158	3	0	0	NUM
ap-9324	158	4	γ2	γ2	PROPN
ap-9324	158	5	ρ2	ρ2	PROPN
ap-9324	158	6	·	·	PUNCT
ap-9324	158	7	·	·	PUNCT
ap-9324	158	8	·	·	PUNCT
ap-9324	159	1	ρ2	ρ2	NOUN
ap-9324	159	2	0	0	NUM
ap-9324	159	3	0	0	NUM
ap-9324	159	4	γ3	γ3	NOUN
ap-9324	159	5	·	·	PUNCT
ap-9324	159	6	·	·	PUNCT
ap-9324	159	7	·	·	PUNCT
ap-9324	159	8	ρ3	ρ3	NOUN
ap-9324	159	9	...	...	PUNCT
ap-9324	159	10	...	...	PUNCT
ap-9324	159	11	...	...	PUNCT
ap-9324	159	12	.	.	PUNCT
ap-9324	159	13	.	.	PUNCT
ap-9324	159	14	.	.	PUNCT
ap-9324	160	1	...	...	PUNCT
ap-9324	161	1	0	0	NUM
ap-9324	161	2	0	0	NUM
ap-9324	161	3	0	0	NUM
ap-9324	161	4	·	·	PUNCT
ap-9324	161	5	·	·	PUNCT
ap-9324	161	6	·	·	PUNCT
ap-9324	162	1	γm	γm	PRON
ap-9324	162	2			PROPN
ap-9324	162	3	m×m	m×m	PROPN
ap-9324	162	4	,	,	PUNCT
ap-9324	162	5	(	(	PUNCT
ap-9324	162	6	23	23	NUM
ap-9324	162	7	)	)	PUNCT
ap-9324	162	8	131	131	NUM
ap-9324	162	9	e.	e.	PROPN
ap-9324	162	10	y.	y.	PROPN
ap-9324	162	11	kutorzi	kutorzi	PROPN
ap-9324	162	12	,	,	PUNCT
ap-9324	162	13	y.	y.	PROPN
ap-9324	162	14	zhang	zhang	PROPN
ap-9324	162	15	,	,	PUNCT
ap-9324	162	16	y.	y.	PROPN
ap-9324	162	17	shi	shi	PROPN
ap-9324	162	18	acta	acta	PROPN
ap-9324	162	19	polytechnica	polytechnica	PROPN
ap-9324	162	20	where	where	SCONJ
ap-9324	162	21	ρi	ρi	NOUN
ap-9324	162	22	=	=	SYM
ap-9324	162	23	b(ih	b(ih	NOUN
ap-9324	162	24	)	)	PUNCT
ap-9324	162	25	−	−	ADP
ap-9324	162	26	b((i	b((i	NOUN
ap-9324	163	1	−	−	PROPN
ap-9324	164	1	1)h	1)h	NUM
ap-9324	164	2	)	)	PUNCT
ap-9324	164	3	,	,	PUNCT
ap-9324	165	1	i	i	PRON
ap-9324	165	2	=	=	NOUN
ap-9324	165	3	1	1	NUM
ap-9324	165	4	,	,	PUNCT
ap-9324	165	5	2	2	NUM
ap-9324	165	6	,	,	PUNCT
ap-9324	165	7	.	.	PUNCT
ap-9324	165	8	.	.	PUNCT
ap-9324	165	9	.	.	PUNCT
ap-9324	166	1	,	,	PUNCT
ap-9324	166	2	m	m	VERB
ap-9324	166	3	−	−	PROPN
ap-9324	166	4	1	1	NUM
ap-9324	166	5	;	;	PUNCT
ap-9324	166	6	γj	γj	ADP
ap-9324	166	7	=	=	PUNCT
ap-9324	166	8	b(ih/2	b(ih/2	NOUN
ap-9324	166	9	)	)	PUNCT
ap-9324	166	10	−	−	ADP
ap-9324	166	11	b((i	b((i	NOUN
ap-9324	167	1	−	−	ADP
ap-9324	168	1	1)h/2	1)h/2	NUM
ap-9324	168	2	)	)	PUNCT
ap-9324	168	3	,	,	PUNCT
ap-9324	168	4	j	j	PROPN
ap-9324	168	5	=	=	SYM
ap-9324	168	6	1	1	NUM
ap-9324	168	7	,	,	PUNCT
ap-9324	168	8	2	2	NUM
ap-9324	168	9	,	,	PUNCT
ap-9324	168	10	.	.	PUNCT
ap-9324	168	11	.	.	PUNCT
ap-9324	169	1	.	.	PUNCT
ap-9324	170	1	,	,	PUNCT
ap-9324	170	2	m.	m.	NOUN
ap-9324	170	3	this	this	PRON
ap-9324	170	4	can	can	AUX
ap-9324	170	5	be	be	AUX
ap-9324	170	6	approximated	approximate	VERB
ap-9324	170	7	by	by	ADP
ap-9324	170	8	computing	compute	VERB
ap-9324	170	9	the	the	DET
ap-9324	170	10	itô	itô	PROPN
ap-9324	170	11	integral	integral	ADJ
ap-9324	170	12	for	for	ADP
ap-9324	170	13	every	every	DET
ap-9324	170	14	function	function	NOUN
ap-9324	170	15	f(t	f(t	NOUN
ap-9324	170	16	)	)	PUNCT
ap-9324	170	17	as	as	ADP
ap-9324	170	18	follows:∫	follows:∫	NOUN
ap-9324	170	19	t	t	NOUN
ap-9324	170	20	0	0	NUM
ap-9324	170	21	f(s)db(s	f(s)db(	NOUN
ap-9324	170	22	)	)	PUNCT
ap-9324	170	23	≃	≃	PROPN
ap-9324	170	24	f	f	PROPN
ap-9324	170	25	t	t	PROPN
ap-9324	170	26	φ(s)db(s	φ(s)db(	NOUN
ap-9324	170	27	)	)	PUNCT
ap-9324	171	1	≃	≃	PROPN
ap-9324	171	2	f	f	PROPN
ap-9324	171	3	t	t	PROPN
ap-9324	171	4	psφ(t	psφ(t	PROPN
ap-9324	171	5	)	)	PUNCT
ap-9324	171	6	.	.	PUNCT
ap-9324	172	1	(	(	PUNCT
ap-9324	172	2	24	24	NUM
ap-9324	172	3	)	)	SYM
ap-9324	172	4	4	4	NUM
ap-9324	172	5	.	.	X
ap-9324	173	1	solving	solve	VERB
ap-9324	173	2	stochastic	stochastic	ADJ
ap-9324	173	3	volterra	volterra	NOUN
ap-9324	173	4	-	-	PUNCT
ap-9324	173	5	fredholm	fredholm	NOUN
ap-9324	173	6	integral	integral	ADJ
ap-9324	173	7	equations	equation	NOUN
ap-9324	173	8	with	with	ADP
ap-9324	173	9	time	time	NOUN
ap-9324	173	10	delay	delay	VERB
ap-9324	173	11	the	the	DET
ap-9324	173	12	following	follow	VERB
ap-9324	173	13	linear	linear	PROPN
ap-9324	173	14	stochastic	stochastic	NOUN
ap-9324	173	15	volterra	volterra	NOUN
ap-9324	173	16	-	-	PUNCT
ap-9324	173	17	fredholm	fredholm	NOUN
ap-9324	173	18	integral	integral	ADJ
ap-9324	173	19	equation	equation	NOUN
ap-9324	173	20	is	be	AUX
ap-9324	173	21	considered	consider	VERB
ap-9324	173	22	with	with	ADP
ap-9324	173	23	a	a	DET
ap-9324	173	24	constant	constant	ADJ
ap-9324	173	25	time	time	NOUN
ap-9324	173	26	delay	delay	NOUN
ap-9324	173	27	τ	τ	PROPN
ap-9324	173	28	>	>	X
ap-9324	173	29	0	0	NUM
ap-9324	173	30	:	:	PUNCT
ap-9324	173	31	x(t	x(t	PROPN
ap-9324	173	32	)	)	PUNCT
ap-9324	173	33	=	=	SYM
ap-9324	173	34	f(t	f(t	NOUN
ap-9324	173	35	)	)	PUNCT
ap-9324	174	1	+	+	CCONJ
ap-9324	175	1	λ1	λ1	ADJ
ap-9324	175	2	∫	∫	PROPN
ap-9324	175	3	β	β	PROPN
ap-9324	175	4	α	α	PROPN
ap-9324	175	5	k1(t	k1(t	PROPN
ap-9324	175	6	,	,	PUNCT
ap-9324	175	7	s)x(s	s)x(s	NOUN
ap-9324	175	8	−	−	PROPN
ap-9324	176	1	τ)ds	τ)ds	PROPN
ap-9324	176	2	+	+	NUM
ap-9324	176	3	λ2	λ2	PROPN
ap-9324	176	4	∫	∫	PROPN
ap-9324	176	5	t	t	PROPN
ap-9324	176	6	0	0	NUM
ap-9324	177	1	k2(t	k2(t	PROPN
ap-9324	177	2	,	,	PUNCT
ap-9324	177	3	s)x(s	s)x(s	NOUN
ap-9324	177	4	−	−	PROPN
ap-9324	178	1	τ)ds	τ)ds	PROPN
ap-9324	178	2	+	+	PROPN
ap-9324	179	1	λ3	λ3	PROPN
ap-9324	179	2	∫	∫	PROPN
ap-9324	179	3	t	t	PROPN
ap-9324	179	4	0	0	NUM
ap-9324	180	1	k3(t	k3(t	ADJ
ap-9324	180	2	,	,	PUNCT
ap-9324	180	3	s)x(s	s)x(s	NOUN
ap-9324	180	4	−	−	PROPN
ap-9324	180	5	τ)db(s	τ)db(	NOUN
ap-9324	180	6	)	)	PUNCT
ap-9324	180	7	,	,	PUNCT
ap-9324	180	8	(	(	PUNCT
ap-9324	180	9	25	25	NUM
ap-9324	180	10	)	)	PUNCT
ap-9324	180	11	where	where	SCONJ
ap-9324	180	12	t	t	PROPN
ap-9324	180	13	∈	∈	PROPN
ap-9324	180	14	[	[	X
ap-9324	180	15	α	α	X
ap-9324	180	16	,	,	PUNCT
ap-9324	180	17	β	β	X
ap-9324	180	18	]	]	X
ap-9324	180	19	,	,	PUNCT
ap-9324	180	20	τ	τ	PROPN
ap-9324	180	21	∈	∈	PROPN
ap-9324	180	22	(	(	PUNCT
ap-9324	180	23	0	0	NUM
ap-9324	180	24	,	,	PUNCT
ap-9324	180	25	β	β	X
ap-9324	180	26	−	−	NOUN
ap-9324	180	27	α	α	NOUN
ap-9324	180	28	)	)	PUNCT
ap-9324	180	29	,	,	PUNCT
ap-9324	180	30	t	t	PROPN
ap-9324	180	31	∈	∈	PROPN
ap-9324	181	1	[	[	X
ap-9324	181	2	0	0	NUM
ap-9324	181	3	,	,	PUNCT
ap-9324	181	4	t	t	NOUN
ap-9324	181	5	)	)	PUNCT
ap-9324	181	6	.	.	PUNCT
ap-9324	182	1	x(t	x(t	PROPN
ap-9324	182	2	)	)	PUNCT
ap-9324	182	3	is	be	AUX
ap-9324	182	4	a	a	DET
ap-9324	182	5	stochastic	stochastic	ADJ
ap-9324	182	6	process	process	NOUN
ap-9324	182	7	whose	whose	DET
ap-9324	182	8	coefficients	coefficient	NOUN
ap-9324	182	9	are	be	AUX
ap-9324	182	10	x(t	x(t	PROPN
ap-9324	182	11	)	)	PUNCT
ap-9324	182	12	,	,	PUNCT
ap-9324	182	13	f(t	f(t	PROPN
ap-9324	182	14	)	)	PUNCT
ap-9324	182	15	,	,	PUNCT
ap-9324	182	16	k1(t	k1(t	PROPN
ap-9324	182	17	,	,	PUNCT
ap-9324	182	18	s	s	PART
ap-9324	182	19	)	)	PUNCT
ap-9324	182	20	,	,	PUNCT
ap-9324	182	21	k2(t	k2(t	PROPN
ap-9324	182	22	,	,	PUNCT
ap-9324	182	23	s	s	PART
ap-9324	182	24	)	)	PUNCT
ap-9324	182	25	and	and	CCONJ
ap-9324	182	26	k3(t	k3(t	PROPN
ap-9324	182	27	,	,	PUNCT
ap-9324	182	28	s	s	PART
ap-9324	182	29	)	)	PUNCT
ap-9324	182	30	,	,	PUNCT
ap-9324	182	31	for	for	ADP
ap-9324	182	32	α	α	NOUN
ap-9324	182	33	,	,	PUNCT
ap-9324	182	34	β	β	X
ap-9324	182	35	∈	∈	PROPN
ap-9324	182	36	[	[	X
ap-9324	182	37	α	α	X
ap-9324	182	38	,	,	PUNCT
ap-9324	182	39	β	β	X
ap-9324	182	40	]	]	X
ap-9324	182	41	,	,	PUNCT
ap-9324	182	42	t	t	PROPN
ap-9324	182	43	,	,	PUNCT
ap-9324	182	44	s	s	PART
ap-9324	182	45	∈	∈	PROPN
ap-9324	183	1	[	[	X
ap-9324	183	2	0	0	NUM
ap-9324	183	3	,	,	PUNCT
ap-9324	183	4	t	t	PROPN
ap-9324	183	5	)	)	PUNCT
ap-9324	183	6	,	,	PUNCT
ap-9324	183	7	defined	define	VERB
ap-9324	183	8	on	on	ADP
ap-9324	183	9	the	the	DET
ap-9324	183	10	same	same	ADJ
ap-9324	183	11	probability	probability	NOUN
ap-9324	183	12	space	space	NOUN
ap-9324	183	13	(	(	PUNCT
ap-9324	183	14	ω	ω	PROPN
ap-9324	183	15	,	,	PUNCT
ap-9324	183	16	f	f	PROPN
ap-9324	183	17	,	,	PUNCT
ap-9324	183	18	p	p	NOUN
ap-9324	183	19	)	)	PUNCT
ap-9324	183	20	.	.	PUNCT
ap-9324	184	1	in	in	ADP
ap-9324	184	2	addition	addition	NOUN
ap-9324	184	3	,	,	PUNCT
ap-9324	184	4	b(t	b(t	NOUN
ap-9324	184	5	)	)	PUNCT
ap-9324	184	6	is	be	AUX
ap-9324	184	7	a	a	DET
ap-9324	184	8	brownian	brownian	ADJ
ap-9324	184	9	motion	motion	NOUN
ap-9324	184	10	process	process	NOUN
ap-9324	184	11	,	,	PUNCT
ap-9324	184	12	and	and	CCONJ
ap-9324	184	13	∫	∫	PROPN
ap-9324	184	14	t	t	PROPN
ap-9324	184	15	0	0	NUM
ap-9324	185	1	k3(t	k3(t	ADJ
ap-9324	185	2	,	,	PUNCT
ap-9324	185	3	s)x(s	s)x(s	NOUN
ap-9324	185	4	−	−	NOUN
ap-9324	185	5	τ)db(s	τ)db(	NOUN
ap-9324	185	6	)	)	PUNCT
ap-9324	185	7	is	be	AUX
ap-9324	185	8	integral	integral	ADJ
ap-9324	185	9	for	for	ADP
ap-9324	185	10	itô	itô	PROPN
ap-9324	185	11	.	.	PUNCT
ap-9324	186	1	to	to	PART
ap-9324	186	2	facilitate	facilitate	VERB
ap-9324	186	3	block	block	NOUN
ap-9324	186	4	pulse	pulse	NOUN
ap-9324	186	5	functions	function	NOUN
ap-9324	186	6	,	,	PUNCT
ap-9324	186	7	we	we	PRON
ap-9324	186	8	typically	typically	ADV
ap-9324	186	9	set	set	VERB
ap-9324	186	10	α	α	NOUN
ap-9324	186	11	=	=	SYM
ap-9324	186	12	0	0	PROPN
ap-9324	186	13	.	.	PUNCT
ap-9324	187	1	whenever	whenever	SCONJ
ap-9324	187	2	α	α	DET
ap-9324	187	3	̸=	̸=	PROPN
ap-9324	187	4	0	0	NUM
ap-9324	187	5	we	we	PRON
ap-9324	187	6	set	set	VERB
ap-9324	187	7	s	s	X
ap-9324	187	8	=	=	PUNCT
ap-9324	187	9	t−α	t−α	NUM
ap-9324	187	10	β−α	β−α	NOUN
ap-9324	187	11	t	t	NOUN
ap-9324	187	12	,	,	PUNCT
ap-9324	187	13	where	where	SCONJ
ap-9324	187	14	t	t	PROPN
ap-9324	187	15	=	=	SYM
ap-9324	187	16	mh	mh	PROPN
ap-9324	187	17	.	.	PUNCT
ap-9324	188	1	using	use	VERB
ap-9324	188	2	bpfs	bpf	NOUN
ap-9324	188	3	to	to	ADP
ap-9324	188	4	approximate	approximate	ADJ
ap-9324	188	5	functions	function	NOUN
ap-9324	188	6	x(t	x(t	PROPN
ap-9324	188	7	)	)	PUNCT
ap-9324	188	8	,	,	PUNCT
ap-9324	188	9	f(t	f(t	PROPN
ap-9324	188	10	)	)	PUNCT
ap-9324	188	11	,	,	PUNCT
ap-9324	188	12	k1(t	k1(t	PROPN
ap-9324	188	13	,	,	PUNCT
ap-9324	188	14	s	s	PART
ap-9324	188	15	)	)	PUNCT
ap-9324	188	16	,	,	PUNCT
ap-9324	188	17	k2(t	k2(t	PROPN
ap-9324	188	18	,	,	PUNCT
ap-9324	188	19	s	s	PART
ap-9324	188	20	)	)	PUNCT
ap-9324	188	21	,	,	PUNCT
ap-9324	188	22	and	and	CCONJ
ap-9324	188	23	k3(t	k3(t	PROPN
ap-9324	188	24	,	,	PUNCT
ap-9324	188	25	s	s	AUX
ap-9324	188	26	)	)	PUNCT
ap-9324	188	27	by	by	ADP
ap-9324	188	28	equations	equation	NOUN
ap-9324	188	29	(	(	PUNCT
ap-9324	188	30	7	7	NUM
ap-9324	188	31	)	)	PUNCT
ap-9324	188	32	,	,	PUNCT
ap-9324	188	33	(	(	PUNCT
ap-9324	188	34	8)	8)	NUM
ap-9324	188	35	,	,	PUNCT
ap-9324	188	36	and	and	CCONJ
ap-9324	188	37	(	(	PUNCT
ap-9324	188	38	19	19	NUM
ap-9324	188	39	)	)	PUNCT
ap-9324	188	40	gives	give	VERB
ap-9324	188	41	the	the	DET
ap-9324	188	42	following	follow	VERB
ap-9324	188	43	result:	result:	PROPN
ap-9324	188	44	x(t	x(t	PROPN
ap-9324	188	45	)	)	PUNCT
ap-9324	188	46	≃	≃	NOUN
ap-9324	188	47	xt	xt	ADP
ap-9324	188	48	φ(t	φ(t	PROPN
ap-9324	188	49	)	)	PUNCT
ap-9324	189	1	=	=	PUNCT
ap-9324	189	2	φt	φt	NOUN
ap-9324	189	3	x	x	X
ap-9324	189	4	,	,	PUNCT
ap-9324	189	5	f(t	f(t	NOUN
ap-9324	189	6	)	)	PUNCT
ap-9324	189	7	≃	≃	PROPN
ap-9324	189	8	f	f	PROPN
ap-9324	189	9	t	t	PROPN
ap-9324	189	10	φ(t	φ(t	PROPN
ap-9324	189	11	)	)	PUNCT
ap-9324	189	12	=	=	PUNCT
ap-9324	189	13	φt	φt	NOUN
ap-9324	189	14	f	f	PROPN
ap-9324	189	15	,	,	PUNCT
ap-9324	189	16	k1(t	k1(t	PROPN
ap-9324	189	17	,	,	PUNCT
ap-9324	189	18	s	s	X
ap-9324	189	19	)	)	PUNCT
ap-9324	189	20	≃	≃	NOUN
ap-9324	189	21	ψt	ψt	NUM
ap-9324	189	22	(	(	PUNCT
ap-9324	189	23	t)k1φ(s	t)k1φ(s	NOUN
ap-9324	189	24	)	)	PUNCT
ap-9324	189	25	=	=	SYM
ap-9324	189	26	φt	φt	NOUN
ap-9324	189	27	(	(	PUNCT
ap-9324	189	28	s)kt	s)kt	PROPN
ap-9324	189	29	1	1	NUM
ap-9324	189	30	ψ(t	ψ(t	PROPN
ap-9324	189	31	)	)	PUNCT
ap-9324	189	32	,	,	PUNCT
ap-9324	189	33	k2(t	k2(t	PROPN
ap-9324	189	34	,	,	PUNCT
ap-9324	189	35	s	s	PART
ap-9324	189	36	)	)	PUNCT
ap-9324	189	37	≃	≃	NOUN
ap-9324	189	38	ψt	ψt	NOUN
ap-9324	189	39	(	(	PUNCT
ap-9324	189	40	t)k2φ(s	t)k2φ(s	ADJ
ap-9324	189	41	)	)	PUNCT
ap-9324	189	42	=	=	SYM
ap-9324	189	43	φt	φt	NOUN
ap-9324	189	44	(	(	PUNCT
ap-9324	189	45	s)kt	s)kt	PROPN
ap-9324	189	46	2	2	NUM
ap-9324	189	47	ψ(t	ψ(t	PROPN
ap-9324	189	48	)	)	PUNCT
ap-9324	189	49	,	,	PUNCT
ap-9324	189	50	k3(t	k3(t	PROPN
ap-9324	189	51	,	,	PUNCT
ap-9324	189	52	s	s	PART
ap-9324	189	53	)	)	PUNCT
ap-9324	189	54	≃	≃	NOUN
ap-9324	189	55	ψt	ψt	NOUN
ap-9324	189	56	(	(	PUNCT
ap-9324	189	57	t)k3φ(s	t)k3φ(s	PROPN
ap-9324	189	58	)	)	PUNCT
ap-9324	190	1	=	=	PUNCT
ap-9324	190	2	φt	φt	NOUN
ap-9324	190	3	(	(	PUNCT
ap-9324	190	4	s)kt	s)kt	PROPN
ap-9324	190	5	3	3	NUM
ap-9324	190	6	ψ(t	ψ(t	PROPN
ap-9324	190	7	)	)	PUNCT
ap-9324	190	8	.	.	PUNCT
ap-9324	191	1	according	accord	VERB
ap-9324	191	2	to	to	ADP
ap-9324	191	3	equation	equation	NOUN
ap-9324	191	4	(	(	PUNCT
ap-9324	191	5	19	19	NUM
ap-9324	191	6	)	)	PUNCT
ap-9324	191	7	,	,	PUNCT
ap-9324	191	8	x(s	x(s	PROPN
ap-9324	191	9	−	−	PROPN
ap-9324	191	10	τ	τ	PROPN
ap-9324	191	11	)	)	PUNCT
ap-9324	191	12	can	can	AUX
ap-9324	191	13	be	be	AUX
ap-9324	191	14	approximated	approximate	VERB
ap-9324	191	15	as	as	SCONJ
ap-9324	191	16	follows	follow	VERB
ap-9324	191	17	:	:	PUNCT
ap-9324	191	18	x(s	x(s	PROPN
ap-9324	191	19	−	−	PROPN
ap-9324	191	20	τ	τ	NOUN
ap-9324	191	21	)	)	PUNCT
ap-9324	191	22	≃	≃	NOUN
ap-9324	191	23	xt	xt	PUNCT
ap-9324	192	1	ψ(s	ψ(s	PROPN
ap-9324	192	2	−	−	PROPN
ap-9324	192	3	τ	τ	PROPN
ap-9324	192	4	)	)	PUNCT
ap-9324	192	5	=	=	SYM
ap-9324	192	6	xt	xt	X
ap-9324	192	7	(	(	PUNCT
ap-9324	192	8	(	(	PUNCT
ap-9324	192	9	1	1	NUM
ap-9324	192	10	−	−	PROPN
ap-9324	192	11	λ)hq	λ)hq	PROPN
ap-9324	192	12	+	+	CCONJ
ap-9324	192	13	λhq+1)φ(t)ψ(s	λhq+1)φ(t)ψ(s	INTJ
ap-9324	192	14	)	)	PUNCT
ap-9324	192	15	,	,	PUNCT
ap-9324	192	16	and	and	CCONJ
ap-9324	192	17	by	by	ADP
ap-9324	192	18	letting	let	VERB
ap-9324	192	19	z	z	X
ap-9324	192	20	=	=	PUNCT
ap-9324	192	21	(	(	PUNCT
ap-9324	192	22	(	(	PUNCT
ap-9324	192	23	1	1	NUM
ap-9324	192	24	−	−	PROPN
ap-9324	192	25	λ)hq	λ)hq	PROPN
ap-9324	192	26	+	+	CCONJ
ap-9324	192	27	λhq+1	λhq+1	NOUN
ap-9324	192	28	)	)	PUNCT
ap-9324	192	29	,	,	PUNCT
ap-9324	192	30	we	we	PRON
ap-9324	192	31	can	can	AUX
ap-9324	192	32	write	write	VERB
ap-9324	192	33	:	:	PUNCT
ap-9324	193	1	x(s	x(s	PROPN
ap-9324	193	2	−	−	PROPN
ap-9324	193	3	τ	τ	NOUN
ap-9324	193	4	)	)	PUNCT
ap-9324	193	5	≃	≃	NOUN
ap-9324	193	6	xt	xt	ADP
ap-9324	193	7	zψ(s	zψ(s	NUM
ap-9324	193	8	)	)	PUNCT
ap-9324	193	9	.	.	PUNCT
ap-9324	194	1	(	(	PUNCT
ap-9324	194	2	26	26	NUM
ap-9324	194	3	)	)	PUNCT
ap-9324	194	4	the	the	DET
ap-9324	194	5	above	above	ADJ
ap-9324	194	6	approximates	approximate	NOUN
ap-9324	194	7	define	define	VERB
ap-9324	194	8	x	x	PUNCT
ap-9324	194	9	and	and	CCONJ
ap-9324	194	10	f	f	PROPN
ap-9324	194	11	as	as	ADP
ap-9324	194	12	stochastic	stochastic	ADJ
ap-9324	194	13	block	block	NOUN
ap-9324	194	14	pulse	pulse	NOUN
ap-9324	194	15	coefficients	coefficient	NOUN
ap-9324	194	16	vectors	vector	NOUN
ap-9324	194	17	,	,	PUNCT
ap-9324	194	18	respectively	respectively	ADV
ap-9324	194	19	,	,	PUNCT
ap-9324	194	20	and	and	CCONJ
ap-9324	194	21	k1	k1	NOUN
ap-9324	194	22	,	,	PUNCT
ap-9324	194	23	k2	k2	NOUN
ap-9324	194	24	,	,	PUNCT
ap-9324	194	25	and	and	CCONJ
ap-9324	194	26	k3	k3	VERB
ap-9324	194	27	as	as	ADP
ap-9324	194	28	stochastic	stochastic	ADJ
ap-9324	194	29	block	block	NOUN
ap-9324	194	30	pulse	pulse	NOUN
ap-9324	194	31	coefficients	coefficient	NOUN
ap-9324	194	32	matrices	matrix	NOUN
ap-9324	194	33	.	.	PUNCT
ap-9324	195	1	equation	equation	NOUN
ap-9324	195	2	(	(	PUNCT
ap-9324	195	3	25	25	NUM
ap-9324	195	4	)	)	PUNCT
ap-9324	195	5	is	be	AUX
ap-9324	195	6	improved	improve	VERB
ap-9324	195	7	by	by	ADP
ap-9324	195	8	substituting	substitute	VERB
ap-9324	195	9	the	the	DET
ap-9324	195	10	above	above	ADJ
ap-9324	195	11	approximation	approximation	NOUN
ap-9324	195	12	:	:	PUNCT
ap-9324	195	13	xt	xt	PROPN
ap-9324	195	14	φ(t	φ(t	PROPN
ap-9324	195	15	)	)	PUNCT
ap-9324	195	16	≃	≃	PROPN
ap-9324	195	17	f	f	PROPN
ap-9324	195	18	t	t	PROPN
ap-9324	195	19	φ(t	φ(t	PROPN
ap-9324	195	20	)	)	PUNCT
ap-9324	196	1	+	+	NUM
ap-9324	196	2	xt	xt	PROPN
ap-9324	196	3	z(λ1	z(λ1	PROPN
ap-9324	196	4	∫	∫	PROPN
ap-9324	196	5	mh	mh	PROPN
ap-9324	196	6	0	0	NUM
ap-9324	196	7	ψ(s)ψt	ψ(s)ψt	PROPN
ap-9324	196	8	(	(	PUNCT
ap-9324	196	9	s)ds)k1φ(t	s)ds)k1φ(t	PROPN
ap-9324	196	10	)	)	PUNCT
ap-9324	196	11	+	+	NUM
ap-9324	196	12	xt	xt	X
ap-9324	196	13	z(λ2	z(λ2	NOUN
ap-9324	196	14	∫	∫	PROPN
ap-9324	197	1	t	t	PROPN
ap-9324	197	2	0	0	NUM
ap-9324	197	3	ψ(s)ψt	ψ(s)ψt	PROPN
ap-9324	197	4	(	(	PUNCT
ap-9324	197	5	s)ds)k2φ(t	s)ds)k2φ(t	NOUN
ap-9324	197	6	)	)	PUNCT
ap-9324	197	7	+	+	NUM
ap-9324	197	8	xt	xt	PROPN
ap-9324	197	9	z(λ3	z(λ3	PROPN
ap-9324	197	10	∫	∫	PROPN
ap-9324	197	11	t	t	PROPN
ap-9324	197	12	0	0	NUM
ap-9324	197	13	ψ(s)ψt	ψ(s)ψt	CCONJ
ap-9324	197	14	(	(	PUNCT
ap-9324	197	15	s)dbs)k3φ(t	s)dbs)k3φ(t	NOUN
ap-9324	197	16	)	)	PUNCT
ap-9324	197	17	.	.	PUNCT
ap-9324	198	1	(	(	PUNCT
ap-9324	198	2	27	27	NUM
ap-9324	198	3	)	)	PUNCT
ap-9324	198	4	let	let	AUX
ap-9324	198	5	ki	ki	PROPN
ap-9324	198	6	j	j	PROPN
ap-9324	198	7	,	,	PUNCT
ap-9324	198	8	j	j	PROPN
ap-9324	198	9	=	=	SYM
ap-9324	198	10	1	1	NUM
ap-9324	198	11	,	,	PUNCT
ap-9324	198	12	2	2	NUM
ap-9324	198	13	,	,	PUNCT
ap-9324	198	14	3	3	NUM
ap-9324	198	15	,	,	PUNCT
ap-9324	198	16	be	be	AUX
ap-9324	198	17	the	the	DET
ap-9324	198	18	ith	ith	PROPN
ap-9324	198	19	row	row	NOUN
ap-9324	198	20	of	of	ADP
ap-9324	198	21	the	the	DET
ap-9324	198	22	constant	constant	ADJ
ap-9324	198	23	matrix	matrix	NOUN
ap-9324	198	24	kj	kj	NOUN
ap-9324	198	25	,	,	PUNCT
ap-9324	198	26	for	for	ADP
ap-9324	198	27	j	j	PROPN
ap-9324	198	28	=	=	SYM
ap-9324	198	29	1	1	NUM
ap-9324	198	30	,	,	PUNCT
ap-9324	198	31	2	2	NUM
ap-9324	198	32	,	,	PUNCT
ap-9324	198	33	3	3	NUM
ap-9324	198	34	.	.	X
ap-9324	198	35	ri	ri	PROPN
ap-9324	198	36	be	be	AUX
ap-9324	198	37	the	the	DET
ap-9324	198	38	ith	ith	PROPN
ap-9324	198	39	row	row	NOUN
ap-9324	198	40	of	of	ADP
ap-9324	198	41	the	the	DET
ap-9324	198	42	integration	integration	NOUN
ap-9324	198	43	operational	operational	ADJ
ap-9324	198	44	matrix	matrix	NOUN
ap-9324	198	45	p	p	NOUN
ap-9324	198	46	,	,	PUNCT
ap-9324	198	47	ri	ri	PROPN
ap-9324	198	48	s	s	VERB
ap-9324	198	49	be	be	AUX
ap-9324	198	50	the	the	DET
ap-9324	198	51	ith	ith	NOUN
ap-9324	198	52	row	row	NOUN
ap-9324	198	53	of	of	ADP
ap-9324	198	54	the	the	DET
ap-9324	198	55	stochastic	stochastic	ADJ
ap-9324	198	56	integration	integration	NOUN
ap-9324	198	57	operational	operational	ADJ
ap-9324	198	58	matrix	matrix	NOUN
ap-9324	198	59	ps	ps	PROPN
ap-9324	198	60	,	,	PUNCT
ap-9324	198	61	dki	dki	PROPN
ap-9324	198	62	j	j	PROPN
ap-9324	198	63	,	,	PUNCT
ap-9324	198	64	be	be	AUX
ap-9324	198	65	diagonal	diagonal	ADJ
ap-9324	198	66	matrices	matrix	NOUN
ap-9324	198	67	with	with	ADP
ap-9324	198	68	ki	ki	PROPN
ap-9324	198	69	j	j	PROPN
ap-9324	198	70	,	,	PUNCT
ap-9324	198	71	for	for	ADP
ap-9324	198	72	j	j	PROPN
ap-9324	198	73	=	=	SYM
ap-9324	198	74	1	1	NUM
ap-9324	198	75	,	,	PUNCT
ap-9324	198	76	2	2	NUM
ap-9324	198	77	,	,	PUNCT
ap-9324	198	78	3	3	NUM
ap-9324	198	79	,	,	PUNCT
ap-9324	198	80	as	as	ADP
ap-9324	198	81	its	its	PRON
ap-9324	198	82	diagonal	diagonal	ADJ
ap-9324	198	83	entries	entry	NOUN
ap-9324	198	84	.	.	PUNCT
ap-9324	199	1	by	by	ADP
ap-9324	199	2	the	the	DET
ap-9324	199	3	relation	relation	NOUN
ap-9324	199	4	∫mh	∫mh	X
ap-9324	199	5	0	0	PUNCT
ap-9324	199	6	φt	φt	NOUN
ap-9324	199	7	φ(s)ds	φ(s)ds	PROPN
ap-9324	199	8	=	=	SYM
ap-9324	199	9	hi	hi	PROPN
ap-9324	199	10	,	,	PUNCT
ap-9324	199	11	previous	previous	ADJ
ap-9324	199	12	relations	relation	NOUN
ap-9324	199	13	,	,	PUNCT
ap-9324	199	14	and	and	CCONJ
ap-9324	199	15	assuming	assume	VERB
ap-9324	199	16	m1	m1	PROPN
ap-9324	199	17	=	=	SYM
ap-9324	199	18	m2	m2	PROPN
ap-9324	199	19	,	,	PUNCT
ap-9324	199	20	we	we	PRON
ap-9324	199	21	have:(∫	have:(∫	PROPN
ap-9324	199	22	mh	mh	PROPN
ap-9324	199	23	0	0	NUM
ap-9324	200	1	ψ(s)ψt	ψ(s)ψt	PROPN
ap-9324	200	2	(	(	PUNCT
ap-9324	200	3	s)ds	s)ds	PROPN
ap-9324	200	4	)	)	PUNCT
ap-9324	200	5	k1φ(t	k1φ(t	PROPN
ap-9324	200	6	)	)	PUNCT
ap-9324	200	7	=	=	SYM
ap-9324	200	8	hik1φ(t	hik1φ(t	NOUN
ap-9324	200	9	)	)	PUNCT
ap-9324	200	10	=	=	SYM
ap-9324	200	11	b1φ(t	b1φ(t	NOUN
ap-9324	200	12	)	)	PUNCT
ap-9324	200	13	,	,	PUNCT
ap-9324	200	14	(	(	PUNCT
ap-9324	200	15	28	28	NUM
ap-9324	200	16	)	)	PUNCT
ap-9324	200	17	132	132	NUM
ap-9324	200	18	vol	vol	NOUN
ap-9324	200	19	.	.	PUNCT
ap-9324	201	1	64	64	NUM
ap-9324	201	2	no	no	NOUN
ap-9324	201	3	.	.	PUNCT
ap-9324	202	1	2/2024	2/2024	NUM
ap-9324	202	2	stochastic	stochastic	ADJ
ap-9324	202	3	volterra	volterra	NOUN
ap-9324	202	4	-	-	PUNCT
ap-9324	202	5	fredholm	fredholm	NOUN
ap-9324	202	6	with	with	ADP
ap-9324	202	7	delay	delay	NOUN
ap-9324	202	8	where	where	SCONJ
ap-9324	202	9	b1	b1	NOUN
ap-9324	202	10	=	=	SYM
ap-9324	202	11	hk1	hk1	NOUN
ap-9324	202	12	,	,	PUNCT
ap-9324	202	13	also:(∫	also:(∫	PROPN
ap-9324	202	14	t	t	PROPN
ap-9324	202	15	0	0	NUM
ap-9324	202	16	ψ(s)ψt	ψ(s)ψt	PROPN
ap-9324	202	17	(	(	PUNCT
ap-9324	202	18	s)ds	s)ds	PROPN
ap-9324	202	19	)	)	PUNCT
ap-9324	202	20	k1φ(t	k1φ(t	PROPN
ap-9324	202	21	)	)	PUNCT
ap-9324	202	22	=	=	PUNCT
ap-9324	202	23	(	(	PUNCT
ap-9324	202	24	∫	∫	PROPN
ap-9324	202	25	t	t	PROPN
ap-9324	202	26	0	0	NUM
ap-9324	202	27	φ(s)φt	φ(s)φt	PROPN
ap-9324	202	28	(	(	PUNCT
ap-9324	202	29	s)ds	s)ds	PROPN
ap-9324	202	30	)	)	PUNCT
ap-9324	202	31	k2φ(t	k2φ(t	PROPN
ap-9324	202	32	)	)	PUNCT
ap-9324	202	33	=	=	PUNCT
ap-9324	203	1			NOUN
ap-9324	203	2	r1φ(t)k1	r1φ(t)k1	DET
ap-9324	203	3	2	2	NUM
ap-9324	203	4	φ(t	φ(t	PROPN
ap-9324	203	5	)	)	PUNCT
ap-9324	203	6	r2φ(t)k2	r2φ(t)k2	NOUN
ap-9324	203	7	2	2	NUM
ap-9324	203	8	φ(t	φ(t	PROPN
ap-9324	203	9	)	)	PUNCT
ap-9324	203	10	...	...	PUNCT
ap-9324	204	1	rmφ(t)km	rmφ(t)km	X
ap-9324	204	2	2	2	NUM
ap-9324	204	3	φ(t	φ(t	PROPN
ap-9324	204	4	)	)	PUNCT
ap-9324	205	1			NOUN
ap-9324	205	2	=	=	PUNCT
ap-9324	205	3			NOUN
ap-9324	205	4	r1dk1	r1dk1	ADJ
ap-9324	205	5	2	2	NUM
ap-9324	205	6	r2dk2	r2dk2	VERB
ap-9324	205	7	2	2	NUM
ap-9324	205	8	...	...	PUNCT
ap-9324	205	9	rmdkm	rmdkm	PROPN
ap-9324	205	10	2	2	NUM
ap-9324	205	11	φ(t	φ(t	NOUN
ap-9324	205	12	)	)	PUNCT
ap-9324	205	13	=	=	SYM
ap-9324	205	14	b2φ(t	b2φ(t	PROPN
ap-9324	205	15	)	)	PUNCT
ap-9324	205	16	,	,	PUNCT
ap-9324	205	17	(	(	PUNCT
ap-9324	205	18	29	29	NUM
ap-9324	205	19	)	)	PUNCT
ap-9324	206	1	where	where	SCONJ
ap-9324	206	2	:	:	PUNCT
ap-9324	206	3	b2	b2	NOUN
ap-9324	206	4	=	=	SYM
ap-9324	206	5	h	h	NOUN
ap-9324	206	6	2	2	NUM
ap-9324	206	7			ADJ
ap-9324	206	8	k2	k2	ADJ
ap-9324	206	9	11	11	NUM
ap-9324	206	10	2k2	2k2	NUM
ap-9324	206	11	12	12	NUM
ap-9324	206	12	2k2	2k2	NUM
ap-9324	206	13	13	13	NUM
ap-9324	206	14	·	·	PUNCT
ap-9324	206	15	·	·	PUNCT
ap-9324	206	16	·	·	PUNCT
ap-9324	206	17	2k2	2k2	NUM
ap-9324	206	18	1	1	NUM
ap-9324	206	19	m	m	NOUN
ap-9324	206	20	0	0	NUM
ap-9324	206	21	k2	k2	PROPN
ap-9324	206	22	22	22	NUM
ap-9324	206	23	2k2	2k2	NUM
ap-9324	206	24	23	23	NUM
ap-9324	206	25	·	·	PUNCT
ap-9324	206	26	·	·	PUNCT
ap-9324	206	27	·	·	PUNCT
ap-9324	207	1	2k2	2k2	NUM
ap-9324	207	2	2	2	NUM
ap-9324	207	3	m	m	NOUN
ap-9324	207	4	0	0	NUM
ap-9324	207	5	0	0	NUM
ap-9324	207	6	k2	k2	PROPN
ap-9324	207	7	33	33	NUM
ap-9324	207	8	·	·	PUNCT
ap-9324	207	9	·	·	PUNCT
ap-9324	207	10	·	·	PUNCT
ap-9324	207	11	2k2	2k2	NUM
ap-9324	207	12	3	3	NUM
ap-9324	207	13	m	m	NUM
ap-9324	207	14	...	...	PUNCT
ap-9324	207	15	...	...	PUNCT
ap-9324	207	16	...	...	PUNCT
ap-9324	207	17	.	.	PUNCT
ap-9324	207	18	.	.	PUNCT
ap-9324	208	1	.	.	PUNCT
ap-9324	209	1	...	...	PUNCT
ap-9324	210	1	0	0	NUM
ap-9324	210	2	0	0	NUM
ap-9324	210	3	0	0	NUM
ap-9324	210	4	·	·	PUNCT
ap-9324	210	5	·	·	PUNCT
ap-9324	210	6	·	·	PUNCT
ap-9324	211	1	k2	k2	ADJ
ap-9324	211	2	mm	mm	INTJ
ap-9324	211	3			PROPN
ap-9324	212	1	m×m	m×m	PROPN
ap-9324	212	2	,	,	PUNCT
ap-9324	212	3	(	(	PUNCT
ap-9324	212	4	30	30	NUM
ap-9324	212	5	)	)	PUNCT
ap-9324	212	6	also	also	ADV
ap-9324	212	7	,	,	PUNCT
ap-9324	212	8	we	we	PRON
ap-9324	212	9	can	can	AUX
ap-9324	212	10	consider	consider	VERB
ap-9324	212	11	the	the	DET
ap-9324	212	12	integral	integral	ADJ
ap-9324	212	13	term	term	NOUN
ap-9324	212	14	itô:(∫	itô:(∫	ADP
ap-9324	212	15	t	t	NOUN
ap-9324	212	16	0	0	NUM
ap-9324	212	17	ψ(s)ψt	ψ(s)ψt	NUM
ap-9324	212	18	(	(	PUNCT
ap-9324	212	19	s)db(s	s)db(	NOUN
ap-9324	212	20	)	)	PUNCT
ap-9324	212	21	)	)	PUNCT
ap-9324	213	1	k3φ(t	k3φ(t	PROPN
ap-9324	213	2	)	)	PUNCT
ap-9324	213	3	=	=	PUNCT
ap-9324	214	1	(	(	PUNCT
ap-9324	214	2	∫	∫	PROPN
ap-9324	214	3	t	t	PROPN
ap-9324	214	4	0	0	NUM
ap-9324	214	5	φ(s)φt	φ(s)φt	PROPN
ap-9324	214	6	(	(	PUNCT
ap-9324	214	7	s)db(s	s)db(	NOUN
ap-9324	214	8	)	)	PUNCT
ap-9324	214	9	)	)	PUNCT
ap-9324	215	1	k3φ(t	k3φ(t	PROPN
ap-9324	215	2	)	)	PUNCT
ap-9324	216	1	=	=	PUNCT
ap-9324	216	2			NOUN
ap-9324	217	1	r1φ(t)k1	r1φ(t)k1	DET
ap-9324	217	2	3	3	NUM
ap-9324	217	3	φ(t	φ(t	PROPN
ap-9324	217	4	)	)	PUNCT
ap-9324	217	5	r2φ(t)k2	r2φ(t)k2	NOUN
ap-9324	217	6	3	3	NUM
ap-9324	217	7	φ(t	φ(t	PROPN
ap-9324	217	8	)	)	PUNCT
ap-9324	217	9	...	...	PUNCT
ap-9324	218	1	rm	rm	PROPN
ap-9324	218	2	s	s	PART
ap-9324	218	3	φ(t)km	φ(t)km	CCONJ
ap-9324	218	4	3	3	NUM
ap-9324	218	5	φ(t	φ(t	PROPN
ap-9324	218	6	)	)	PUNCT
ap-9324	218	7			NOUN
ap-9324	218	8	=	=	PUNCT
ap-9324	219	1			PROPN
ap-9324	219	2	r1	r1	NOUN
ap-9324	219	3	sdk1	sdk1	PROPN
ap-9324	219	4	3	3	NUM
ap-9324	219	5	r2	r2	PROPN
ap-9324	219	6	sdk2	sdk2	NOUN
ap-9324	219	7	3	3	NUM
ap-9324	219	8	...	...	PUNCT
ap-9324	220	1	rm	rm	PROPN
ap-9324	220	2	s	s	PROPN
ap-9324	220	3	dkm	dkm	PROPN
ap-9324	220	4	3	3	NUM
ap-9324	220	5	φ(t	φ(t	NOUN
ap-9324	220	6	)	)	PUNCT
ap-9324	220	7	=	=	SYM
ap-9324	220	8	b3φ(t	b3φ(t	PROPN
ap-9324	220	9	)	)	PUNCT
ap-9324	220	10	,	,	PUNCT
ap-9324	220	11	(	(	PUNCT
ap-9324	220	12	31	31	NUM
ap-9324	220	13	)	)	PUNCT
ap-9324	221	1	where	where	SCONJ
ap-9324	221	2	:	:	PUNCT
ap-9324	221	3	b3	b3	PROPN
ap-9324	221	4	=	=	SYM
ap-9324	221	5			PROPN
ap-9324	221	6	k3	k3	VERB
ap-9324	221	7	11γ	11γ	NOUN
ap-9324	221	8	k3	k3	ADJ
ap-9324	221	9	12ρ	12ρ	NOUN
ap-9324	221	10	k3	k3	ADJ
ap-9324	221	11	13ρ	13ρ	NOUN
ap-9324	221	12	·	·	PUNCT
ap-9324	221	13	·	·	PUNCT
ap-9324	221	14	·	·	PUNCT
ap-9324	222	1	k3	k3	VERB
ap-9324	222	2	1mρ	1mρ	NOUN
ap-9324	222	3	0	0	PUNCT
ap-9324	222	4	k3	k3	ADJ
ap-9324	222	5	22γ	22γ	NUM
ap-9324	222	6	k3	k3	VERB
ap-9324	222	7	23ρ	23ρ	NOUN
ap-9324	222	8	·	·	PUNCT
ap-9324	222	9	·	·	PUNCT
ap-9324	222	10	·	·	PUNCT
ap-9324	223	1	k3	k3	VERB
ap-9324	223	2	2mρ	2mρ	ADJ
ap-9324	223	3	0	0	NUM
ap-9324	223	4	0	0	NUM
ap-9324	223	5	k3	k3	ADJ
ap-9324	223	6	33γ	33γ	NOUN
ap-9324	223	7	·	·	PUNCT
ap-9324	223	8	·	·	PUNCT
ap-9324	223	9	·	·	PUNCT
ap-9324	224	1	k3	k3	VERB
ap-9324	224	2	3mρ(m	3mρ(m	NUM
ap-9324	224	3	−	−	NUM
ap-9324	224	4	2	2	NUM
ap-9324	224	5	)	)	PUNCT
ap-9324	224	6	...	...	PUNCT
ap-9324	224	7	...	...	PUNCT
ap-9324	224	8	...	...	PUNCT
ap-9324	224	9	.	.	PUNCT
ap-9324	224	10	.	.	PUNCT
ap-9324	224	11	.	.	PUNCT
ap-9324	225	1	...	...	PUNCT
ap-9324	226	1	0	0	NUM
ap-9324	226	2	0	0	NUM
ap-9324	226	3	0	0	NUM
ap-9324	226	4	·	·	PUNCT
ap-9324	226	5	·	·	PUNCT
ap-9324	226	6	·	·	PUNCT
ap-9324	227	1	k3	k3	VERB
ap-9324	227	2	mmγ(m	mmγ(m	PROPN
ap-9324	227	3	−	−	PROPN
ap-9324	227	4	1	1	NUM
ap-9324	227	5	)	)	PUNCT
ap-9324	227	6			PROPN
ap-9324	227	7	.	.	PUNCT
ap-9324	228	1	(	(	PUNCT
ap-9324	228	2	32	32	NUM
ap-9324	228	3	)	)	PUNCT
ap-9324	228	4	by	by	ADP
ap-9324	228	5	substituting	substitute	VERB
ap-9324	228	6	equations	equation	NOUN
ap-9324	228	7	(	(	PUNCT
ap-9324	228	8	28	28	NUM
ap-9324	228	9	)	)	PUNCT
ap-9324	228	10	,	,	PUNCT
ap-9324	228	11	(	(	PUNCT
ap-9324	228	12	29	29	NUM
ap-9324	228	13	)	)	PUNCT
ap-9324	228	14	and	and	CCONJ
ap-9324	228	15	(	(	PUNCT
ap-9324	228	16	31	31	NUM
ap-9324	228	17	)	)	PUNCT
ap-9324	228	18	in	in	ADP
ap-9324	228	19	(	(	PUNCT
ap-9324	228	20	27	27	NUM
ap-9324	228	21	)	)	PUNCT
ap-9324	228	22	,	,	PUNCT
ap-9324	228	23	we	we	PRON
ap-9324	228	24	get	get	VERB
ap-9324	228	25	:	:	PUNCT
ap-9324	228	26	xt	xt	PROPN
ap-9324	228	27	φ(t	φ(t	PROPN
ap-9324	228	28	)	)	PUNCT
ap-9324	228	29	≃	≃	PROPN
ap-9324	228	30	f	f	PROPN
ap-9324	228	31	t	t	PROPN
ap-9324	228	32	φ(t	φ(t	PROPN
ap-9324	228	33	)	)	PUNCT
ap-9324	229	1	+	+	NUM
ap-9324	229	2	xt	xt	PROPN
ap-9324	229	3	zλ1b1φ(t	zλ1b1φ(t	NUM
ap-9324	229	4	)	)	PUNCT
ap-9324	229	5	+	+	CCONJ
ap-9324	229	6	y	y	PROPN
ap-9324	229	7	t	t	PROPN
ap-9324	229	8	zλ2b2φ(t	zλ2b2φ(t	NUM
ap-9324	229	9	)	)	PUNCT
ap-9324	229	10	+	+	NUM
ap-9324	229	11	xt	xt	PROPN
ap-9324	229	12	zλ3b3φ(t	zλ3b3φ(t	NUM
ap-9324	229	13	)	)	PUNCT
ap-9324	229	14	.	.	PUNCT
ap-9324	230	1	then	then	ADV
ap-9324	230	2	:	:	PUNCT
ap-9324	230	3	xt	xt	X
ap-9324	230	4	(	(	PUNCT
ap-9324	230	5	i	i	PRON
ap-9324	230	6	−	−	PROPN
ap-9324	230	7	z(λ1b1	z(λ1b1	PROPN
ap-9324	231	1	+	+	CCONJ
ap-9324	231	2	λ2b2	λ2b2	X
ap-9324	231	3	+	+	ADJ
ap-9324	231	4	λ3b3	λ3b3	NOUN
ap-9324	231	5	)	)	PUNCT
ap-9324	231	6	)	)	PUNCT
ap-9324	232	1	≃	≃	NOUN
ap-9324	232	2	f	f	PROPN
ap-9324	232	3	t	t	PROPN
ap-9324	232	4	.	.	PUNCT
ap-9324	233	1	so	so	ADV
ap-9324	233	2	,	,	PUNCT
ap-9324	233	3	by	by	ADP
ap-9324	233	4	setting	set	VERB
ap-9324	233	5	m	m	VERB
ap-9324	233	6	=	=	PUNCT
ap-9324	233	7	(	(	PUNCT
ap-9324	233	8	i	i	PRON
ap-9324	233	9	−	−	PROPN
ap-9324	233	10	z(λ1b1	z(λ1b1	PROPN
ap-9324	233	11	+	+	CCONJ
ap-9324	233	12	λ2b2	λ2b2	X
ap-9324	233	13	+	+	ADJ
ap-9324	233	14	λ3b3	λ3b3	NOUN
ap-9324	233	15	)	)	PUNCT
ap-9324	233	16	)	)	PUNCT
ap-9324	233	17	and	and	CCONJ
ap-9324	233	18	replacing	replace	VERB
ap-9324	233	19	≃	≃	NOUN
ap-9324	233	20	by	by	ADP
ap-9324	233	21	=	=	NOUN
ap-9324	233	22	,	,	PUNCT
ap-9324	233	23	we	we	PRON
ap-9324	233	24	deduce	deduce	VERB
ap-9324	233	25	:	:	PUNCT
ap-9324	233	26	mt	mt	PROPN
ap-9324	233	27	x	x	PROPN
ap-9324	234	1	=	=	PUNCT
ap-9324	234	2	f.	f.	PROPN
ap-9324	234	3	(	(	PUNCT
ap-9324	234	4	33	33	NUM
ap-9324	234	5	)	)	PUNCT
ap-9324	234	6	it	it	PRON
ap-9324	234	7	consists	consist	VERB
ap-9324	234	8	of	of	ADP
ap-9324	234	9	a	a	DET
ap-9324	234	10	linear	linear	ADJ
ap-9324	234	11	system	system	NOUN
ap-9324	234	12	of	of	ADP
ap-9324	234	13	equations	equation	NOUN
ap-9324	234	14	with	with	ADP
ap-9324	234	15	lower	low	ADJ
ap-9324	234	16	triangular	triangular	NOUN
ap-9324	234	17	coefficients	coefficient	NOUN
ap-9324	234	18	that	that	PRON
ap-9324	234	19	yields	yield	VERB
ap-9324	234	20	the	the	DET
ap-9324	234	21	approximate	approximate	ADJ
ap-9324	234	22	block	block	NOUN
ap-9324	234	23	pulse	pulse	NOUN
ap-9324	234	24	coefficient	coefficient	NOUN
ap-9324	234	25	of	of	ADP
ap-9324	234	26	the	the	DET
ap-9324	234	27	stochastic	stochastic	ADJ
ap-9324	234	28	process	process	NOUN
ap-9324	234	29	x(t	x(t	PROPN
ap-9324	234	30	)	)	PUNCT
ap-9324	234	31	.	.	PUNCT
ap-9324	235	1	5	5	X
ap-9324	235	2	.	.	X
ap-9324	235	3	error	error	NOUN
ap-9324	235	4	estimation	estimation	NOUN
ap-9324	235	5	and	and	CCONJ
ap-9324	235	6	rate	rate	NOUN
ap-9324	235	7	of	of	ADP
ap-9324	235	8	convergence	convergence	NOUN
ap-9324	235	9	the	the	DET
ap-9324	235	10	proposed	propose	VERB
ap-9324	235	11	method	method	NOUN
ap-9324	235	12	shows	show	VERB
ap-9324	235	13	the	the	DET
ap-9324	235	14	fastest	fast	ADJ
ap-9324	235	15	convergence	convergence	NOUN
ap-9324	235	16	rate	rate	NOUN
ap-9324	235	17	for	for	ADP
ap-9324	235	18	integral	integral	ADJ
ap-9324	235	19	equations	equation	NOUN
ap-9324	235	20	with	with	ADP
ap-9324	235	21	time	time	NOUN
ap-9324	235	22	delay	delay	NOUN
ap-9324	235	23	.	.	PUNCT
ap-9324	236	1	there	there	PRON
ap-9324	236	2	is	be	VERB
ap-9324	236	3	a	a	DET
ap-9324	236	4	high	high	ADJ
ap-9324	236	5	-	-	PUNCT
ap-9324	236	6	level	level	NOUN
ap-9324	236	7	agreement	agreement	NOUN
ap-9324	236	8	between	between	ADP
ap-9324	236	9	the	the	DET
ap-9324	236	10	exact	exact	ADJ
ap-9324	236	11	solution	solution	NOUN
ap-9324	236	12	and	and	CCONJ
ap-9324	236	13	numerical	numerical	ADJ
ap-9324	236	14	results	result	NOUN
ap-9324	236	15	.	.	PUNCT
ap-9324	237	1	theorem	theorem	NOUN
ap-9324	237	2	1	1	NUM
ap-9324	237	3	.	.	PUNCT
ap-9324	238	1	let	let	VERB
ap-9324	238	2	f(t	f(t	NOUN
ap-9324	238	3	)	)	PUNCT
ap-9324	238	4	be	be	VERB
ap-9324	238	5	any	any	DET
ap-9324	238	6	arbitrary	arbitrary	ADJ
ap-9324	238	7	real	real	ADJ
ap-9324	238	8	bounded	bounded	ADJ
ap-9324	238	9	function	function	NOUN
ap-9324	238	10	,	,	PUNCT
ap-9324	238	11	which	which	PRON
ap-9324	238	12	is	be	AUX
ap-9324	238	13	square	square	ADJ
ap-9324	238	14	integrable	integrable	ADJ
ap-9324	238	15	within	within	ADP
ap-9324	238	16	the	the	DET
ap-9324	238	17	interval	interval	NOUN
ap-9324	239	1	[	[	X
ap-9324	239	2	0	0	NUM
ap-9324	239	3	,	,	PUNCT
ap-9324	239	4	1	1	NUM
ap-9324	239	5	)	)	PUNCT
ap-9324	239	6	,	,	PUNCT
ap-9324	239	7	and	and	CCONJ
ap-9324	239	8	e(t	e(t	NOUN
ap-9324	239	9	)	)	PUNCT
ap-9324	239	10	=	=	SYM
ap-9324	239	11	f(t	f(t	NOUN
ap-9324	239	12	)	)	PUNCT
ap-9324	240	1	−	−	PROPN
ap-9324	240	2	f̂m(t	f̂m(t	PROPN
ap-9324	240	3	)	)	PUNCT
ap-9324	240	4	,	,	PUNCT
ap-9324	240	5	t	t	PROPN
ap-9324	240	6	∈	∈	PROPN
ap-9324	241	1	i	i	PRON
ap-9324	241	2	=	=	PUNCT
ap-9324	242	1	[	[	X
ap-9324	242	2	0	0	NUM
ap-9324	242	3	,	,	PUNCT
ap-9324	242	4	1	1	NUM
ap-9324	242	5	)	)	PUNCT
ap-9324	242	6	,	,	PUNCT
ap-9324	242	7	where	where	SCONJ
ap-9324	242	8	f̂m(t	f̂m(t	NOUN
ap-9324	242	9	)	)	PUNCT
ap-9324	242	10	=	=	PUNCT
ap-9324	243	1	∑m	∑m	PROPN
ap-9324	243	2	i=1	i=1	X
ap-9324	243	3	fiϕi(t	fiϕi(t	NOUN
ap-9324	243	4	)	)	PUNCT
ap-9324	243	5	is	be	AUX
ap-9324	243	6	the	the	DET
ap-9324	243	7	block	block	NOUN
ap-9324	243	8	pulse	pulse	NOUN
ap-9324	243	9	series	series	NOUN
ap-9324	243	10	of	of	ADP
ap-9324	243	11	f(t	f(t	PROPN
ap-9324	243	12	)	)	PUNCT
ap-9324	243	13	.	.	PUNCT
ap-9324	244	1	then	then	ADV
ap-9324	244	2	:	:	PUNCT
ap-9324	244	3	∥e(t)∥	∥e(t)∥	PROPN
ap-9324	244	4	≤	≤	NUM
ap-9324	244	5	h	h	NOUN
ap-9324	244	6	2	2	NUM
ap-9324	244	7	√	√	NUM
ap-9324	244	8	3	3	NUM
ap-9324	244	9	∥f	∥f	PROPN
ap-9324	244	10	′∥∞	′∥∞	NOUN
ap-9324	244	11	,	,	PUNCT
ap-9324	244	12	(	(	PUNCT
ap-9324	244	13	34	34	NUM
ap-9324	244	14	)	)	PUNCT
ap-9324	244	15	in	in	ADP
ap-9324	244	16	this	this	DET
ap-9324	244	17	case	case	NOUN
ap-9324	244	18	,	,	PUNCT
ap-9324	244	19	∥e(t)∥	∥e(t)∥	PROPN
ap-9324	244	20	=	=	SYM
ap-9324	244	21	(	(	PUNCT
ap-9324	244	22	∫	∫	PROPN
ap-9324	244	23	1	1	NUM
ap-9324	244	24	0	0	NUM
ap-9324	244	25	|e(t)|2	|e(t)|2	NUM
ap-9324	244	26	dt	dt	NOUN
ap-9324	244	27	)	)	PUNCT
ap-9324	244	28	1	1	NUM
ap-9324	244	29	2	2	NUM
ap-9324	244	30	.	.	PUNCT
ap-9324	245	1	133	133	NUM
ap-9324	245	2	e.	e.	PROPN
ap-9324	245	3	y.	y.	PROPN
ap-9324	245	4	kutorzi	kutorzi	PROPN
ap-9324	245	5	,	,	PUNCT
ap-9324	245	6	y.	y.	PROPN
ap-9324	245	7	zhang	zhang	PROPN
ap-9324	245	8	,	,	PUNCT
ap-9324	245	9	y.	y.	PROPN
ap-9324	245	10	shi	shi	PROPN
ap-9324	245	11	acta	acta	PROPN
ap-9324	245	12	polytechnica	polytechnica	PROPN
ap-9324	245	13	proof	proof	NOUN
ap-9324	245	14	.	.	PUNCT
ap-9324	246	1	see	see	VERB
ap-9324	246	2	[	[	X
ap-9324	246	3	23	23	NUM
ap-9324	246	4	]	]	PUNCT
ap-9324	246	5	.	.	PUNCT
ap-9324	247	1	theorem	theorem	NOUN
ap-9324	247	2	2	2	NUM
ap-9324	247	3	.	.	NUM
ap-9324	247	4	assume	assume	VERB
ap-9324	247	5	f(t	f(t	PROPN
ap-9324	247	6	,	,	PUNCT
ap-9324	247	7	s	s	X
ap-9324	247	8	)	)	PUNCT
ap-9324	247	9	∈	∈	PROPN
ap-9324	247	10	l2([0	l2([0	VERB
ap-9324	247	11	,	,	PUNCT
ap-9324	247	12	1	1	X
ap-9324	247	13	)	)	PUNCT
ap-9324	247	14	×	×	NOUN
ap-9324	248	1	[	[	X
ap-9324	248	2	0	0	NUM
ap-9324	248	3	,	,	PUNCT
ap-9324	248	4	1	1	NUM
ap-9324	248	5	)	)	PUNCT
ap-9324	248	6	)	)	PUNCT
ap-9324	248	7	and	and	CCONJ
ap-9324	248	8	e(t	e(t	PROPN
ap-9324	248	9	,	,	PUNCT
ap-9324	248	10	s	s	PART
ap-9324	248	11	)	)	PUNCT
ap-9324	248	12	=	=	SYM
ap-9324	248	13	f(t	f(t	NOUN
ap-9324	248	14	,	,	PUNCT
ap-9324	248	15	s	s	NOUN
ap-9324	248	16	)	)	PUNCT
ap-9324	248	17	−	−	PROPN
ap-9324	248	18	f̂m(t	f̂m(t	PROPN
ap-9324	248	19	,	,	PUNCT
ap-9324	248	20	s	s	PART
ap-9324	248	21	)	)	PUNCT
ap-9324	248	22	,	,	PUNCT
ap-9324	248	23	(	(	PUNCT
ap-9324	248	24	t	t	PROPN
ap-9324	248	25	,	,	PUNCT
ap-9324	248	26	s	s	PART
ap-9324	248	27	)	)	PUNCT
ap-9324	248	28	∈	∈	PROPN
ap-9324	249	1	a	a	NOUN
ap-9324	249	2	=	=	X
ap-9324	250	1	[	[	X
ap-9324	250	2	0	0	NUM
ap-9324	250	3	,	,	PUNCT
ap-9324	250	4	1	1	NUM
ap-9324	250	5	)	)	PUNCT
ap-9324	250	6	×	×	NOUN
ap-9324	251	1	[	[	X
ap-9324	251	2	0	0	NUM
ap-9324	251	3	,	,	PUNCT
ap-9324	251	4	1	1	NUM
ap-9324	251	5	)	)	PUNCT
ap-9324	251	6	,	,	PUNCT
ap-9324	251	7	which	which	PRON
ap-9324	251	8	f̂m(t	f̂m(t	PROPN
ap-9324	251	9	,	,	PUNCT
ap-9324	251	10	s	s	NOUN
ap-9324	251	11	)	)	PUNCT
ap-9324	251	12	=	=	SYM
ap-9324	251	13	∑m	∑m	PROPN
ap-9324	252	1	i=1	i=1	PROPN
ap-9324	252	2	∑m	∑m	PROPN
ap-9324	252	3	j=1	j=1	PROPN
ap-9324	252	4	fijψi(t)φj(s	fijψi(t)φj(s	PROPN
ap-9324	252	5	)	)	PUNCT
ap-9324	252	6	is	be	AUX
ap-9324	252	7	the	the	DET
ap-9324	252	8	block	block	NOUN
ap-9324	252	9	pulse	pulse	NOUN
ap-9324	252	10	series	series	NOUN
ap-9324	252	11	of	of	ADP
ap-9324	252	12	f(t	f(t	PROPN
ap-9324	252	13	,	,	PUNCT
ap-9324	252	14	s	s	NOUN
ap-9324	252	15	)	)	PUNCT
ap-9324	252	16	.	.	PUNCT
ap-9324	253	1	then	then	ADV
ap-9324	253	2	:	:	PUNCT
ap-9324	253	3	∥e(t	∥e(t	ADJ
ap-9324	253	4	,	,	PUNCT
ap-9324	253	5	s)∥	s)∥	NOUN
ap-9324	253	6	≤	≤	NUM
ap-9324	253	7	h	h	NOUN
ap-9324	253	8	2	2	NUM
ap-9324	253	9	√	√	NUM
ap-9324	253	10	3	3	NUM
ap-9324	254	1	(	(	PUNCT
ap-9324	254	2	∥f	∥f	INTJ
ap-9324	254	3	′	′	NUM
ap-9324	255	1	t∥	t∥	NUM
ap-9324	255	2	2	2	NUM
ap-9324	255	3	∞	∞	NUM
ap-9324	255	4	+	+	CCONJ
ap-9324	256	1	∥f	∥f	INTJ
ap-9324	256	2	′	′	NUM
ap-9324	256	3	t∥	t∥	NUM
ap-9324	256	4	2	2	NUM
ap-9324	256	5	∞	∞	NUM
ap-9324	256	6	)	)	PUNCT
ap-9324	256	7	1	1	NUM
ap-9324	256	8	2	2	NUM
ap-9324	256	9	,	,	PUNCT
ap-9324	256	10	(	(	PUNCT
ap-9324	256	11	35	35	NUM
ap-9324	256	12	)	)	PUNCT
ap-9324	256	13	where	where	SCONJ
ap-9324	256	14	∥e(t	∥e(t	ADJ
ap-9324	256	15	,	,	PUNCT
ap-9324	256	16	s)∥	s)∥	PUNCT
ap-9324	256	17	=	=	PRON
ap-9324	256	18	(	(	PUNCT
ap-9324	256	19	∫	∫	PROPN
ap-9324	256	20	1	1	NUM
ap-9324	256	21	0	0	NUM
ap-9324	256	22	∫	∫	PROPN
ap-9324	256	23	1	1	NUM
ap-9324	256	24	0	0	X
ap-9324	257	1	|e(t	|e(t	PROPN
ap-9324	257	2	,	,	PUNCT
ap-9324	257	3	s)|2dsdt	s)|2dsdt	X
ap-9324	257	4	)	)	PUNCT
ap-9324	257	5	1	1	NUM
ap-9324	257	6	2	2	NUM
ap-9324	257	7	.	.	PUNCT
ap-9324	258	1	proof	proof	NOUN
ap-9324	258	2	.	.	PUNCT
ap-9324	259	1	let	let	VERB
ap-9324	259	2	:	:	PUNCT
ap-9324	259	3	eij(t	eij(t	PROPN
ap-9324	259	4	,	,	PUNCT
ap-9324	259	5	s	s	PART
ap-9324	259	6	)	)	PUNCT
ap-9324	259	7	=	=	SYM
ap-9324	259	8	{	{	PUNCT
ap-9324	259	9	f(t	f(t	PROPN
ap-9324	259	10	,	,	PUNCT
ap-9324	259	11	s	s	NOUN
ap-9324	259	12	)	)	PUNCT
ap-9324	259	13	−	−	PROPN
ap-9324	259	14	fij	fij	PROPN
ap-9324	259	15	(	(	PUNCT
ap-9324	259	16	t	t	PROPN
ap-9324	259	17	,	,	PUNCT
ap-9324	259	18	s	s	X
ap-9324	259	19	)	)	PUNCT
ap-9324	259	20	∈	∈	PROPN
ap-9324	259	21	aij	aij	PROPN
ap-9324	259	22	,	,	PUNCT
ap-9324	259	23	0	0	NUM
ap-9324	259	24	(	(	PUNCT
ap-9324	259	25	t	t	PROPN
ap-9324	259	26	,	,	PUNCT
ap-9324	259	27	s	s	PART
ap-9324	259	28	)	)	PUNCT
ap-9324	259	29	∈	∈	PROPN
ap-9324	259	30	a	a	DET
ap-9324	259	31	−	−	NOUN
ap-9324	259	32	aij	aij	PROPN
ap-9324	259	33	,	,	PUNCT
ap-9324	259	34	(	(	PUNCT
ap-9324	259	35	36	36	NUM
ap-9324	259	36	)	)	PUNCT
ap-9324	259	37	where	where	SCONJ
ap-9324	259	38	aij	aij	PROPN
ap-9324	259	39	=	=	PRON
ap-9324	259	40	{	{	PUNCT
ap-9324	259	41	(	(	PUNCT
ap-9324	259	42	t	t	PROPN
ap-9324	259	43	,	,	PUNCT
ap-9324	259	44	s	s	PROPN
ap-9324	259	45	)	)	PUNCT
ap-9324	259	46	:	:	PUNCT
ap-9324	259	47	(	(	PUNCT
ap-9324	259	48	i	i	PRON
ap-9324	259	49	−	−	VERB
ap-9324	259	50	1)h	1)h	PROPN
ap-9324	259	51	≤	≤	PUNCT
ap-9324	259	52	t	t	X
ap-9324	259	53	<	<	X
ap-9324	259	54	ih	ih	X
ap-9324	259	55	,	,	PUNCT
ap-9324	260	1	(	(	PUNCT
ap-9324	260	2	j	j	PROPN
ap-9324	260	3	−	−	NOUN
ap-9324	260	4	1)h	1)h	PROPN
ap-9324	261	1	≤	≤	PROPN
ap-9324	261	2	s	s	PART
ap-9324	261	3	<	<	X
ap-9324	261	4	jh	jh	PROPN
ap-9324	261	5	,	,	PUNCT
ap-9324	261	6	h	h	NOUN
ap-9324	261	7	=	=	NOUN
ap-9324	261	8	1	1	NUM
ap-9324	261	9	m	m	NOUN
ap-9324	261	10	}	}	PUNCT
ap-9324	261	11	,	,	PUNCT
ap-9324	261	12	and	and	CCONJ
ap-9324	261	13	i	i	PRON
ap-9324	261	14	,	,	PUNCT
ap-9324	261	15	j	j	PROPN
ap-9324	261	16	=	=	SYM
ap-9324	261	17	1	1	NUM
ap-9324	261	18	,	,	PUNCT
ap-9324	261	19	2	2	NUM
ap-9324	261	20	,	,	PUNCT
ap-9324	261	21	·	·	PUNCT
ap-9324	261	22	·	·	PUNCT
ap-9324	261	23	·	·	PUNCT
ap-9324	261	24	,	,	PUNCT
ap-9324	261	25	m.	m.	NOUN
ap-9324	261	26	for	for	ADP
ap-9324	261	27	i	i	PROPN
ap-9324	261	28	,	,	PUNCT
ap-9324	261	29	j	j	PROPN
ap-9324	261	30	=	=	SYM
ap-9324	261	31	1	1	NUM
ap-9324	261	32	,	,	PUNCT
ap-9324	261	33	2	2	NUM
ap-9324	261	34	,	,	PUNCT
ap-9324	261	35	·	·	PUNCT
ap-9324	261	36	·	·	PUNCT
ap-9324	261	37	·	·	PUNCT
ap-9324	261	38	,	,	PUNCT
ap-9324	261	39	m	m	PROPN
ap-9324	261	40	,	,	PUNCT
ap-9324	261	41	thus	thus	ADV
ap-9324	261	42	,	,	PUNCT
ap-9324	261	43	we	we	PRON
ap-9324	261	44	get	get	VERB
ap-9324	261	45	:	:	PUNCT
ap-9324	261	46	eij(t	eij(t	PROPN
ap-9324	261	47	,	,	PUNCT
ap-9324	261	48	s	s	PART
ap-9324	261	49	)	)	PUNCT
ap-9324	261	50	=	=	SYM
ap-9324	261	51	f(t	f(t	NOUN
ap-9324	261	52	,	,	PUNCT
ap-9324	261	53	s	s	NOUN
ap-9324	261	54	)	)	PUNCT
ap-9324	261	55	−	−	PROPN
ap-9324	261	56	1	1	NUM
ap-9324	261	57	h2	h2	NOUN
ap-9324	261	58	∫	∫	PROPN
ap-9324	261	59	ih	ih	INTJ
ap-9324	261	60	(	(	PUNCT
ap-9324	261	61	i−1)h	i−1)h	NOUN
ap-9324	261	62	∫	∫	PROPN
ap-9324	261	63	jh	jh	PROPN
ap-9324	261	64	(	(	PUNCT
ap-9324	261	65	j−1)h	j−1)h	PROPN
ap-9324	261	66	f(x	f(x	PROPN
ap-9324	261	67	,	,	PUNCT
ap-9324	261	68	y)dydx	y)dydx	PROPN
ap-9324	261	69	=	=	SYM
ap-9324	261	70	1	1	NUM
ap-9324	261	71	h2	h2	NOUN
ap-9324	261	72	∫	∫	PROPN
ap-9324	261	73	ih	ih	INTJ
ap-9324	261	74	(	(	PUNCT
ap-9324	261	75	i−1)h	i−1)h	NOUN
ap-9324	261	76	∫	∫	PROPN
ap-9324	261	77	jh	jh	PROPN
ap-9324	261	78	(	(	PUNCT
ap-9324	261	79	j−1)h	j−1)h	PROPN
ap-9324	261	80	(	(	PUNCT
ap-9324	261	81	f(t	f(t	PROPN
ap-9324	261	82	,	,	PUNCT
ap-9324	261	83	s	s	NOUN
ap-9324	261	84	)	)	PUNCT
ap-9324	261	85	−	−	PROPN
ap-9324	261	86	f(x	f(x	PROPN
ap-9324	261	87	,	,	PUNCT
ap-9324	261	88	y	y	NOUN
ap-9324	261	89	)	)	PUNCT
ap-9324	261	90	)	)	PUNCT
ap-9324	262	1	dydx	dydx	NOUN
ap-9324	262	2	,	,	PUNCT
ap-9324	262	3	now	now	ADV
ap-9324	262	4	,	,	PUNCT
ap-9324	262	5	by	by	ADP
ap-9324	262	6	mean	mean	ADJ
ap-9324	262	7	-	-	PUNCT
ap-9324	262	8	value	value	NOUN
ap-9324	262	9	theorem	theorem	NOUN
ap-9324	262	10	,	,	PUNCT
ap-9324	262	11	we	we	PRON
ap-9324	262	12	deduce	deduce	VERB
ap-9324	262	13	:	:	PUNCT
ap-9324	262	14	eij(t	eij(t	PROPN
ap-9324	262	15	,	,	PUNCT
ap-9324	262	16	s	s	PART
ap-9324	262	17	)	)	PUNCT
ap-9324	262	18	=	=	SYM
ap-9324	262	19	1	1	NUM
ap-9324	262	20	h2	h2	NOUN
ap-9324	262	21	∫	∫	PROPN
ap-9324	262	22	ih	ih	INTJ
ap-9324	263	1	(	(	PUNCT
ap-9324	263	2	i−1)h	i−1)h	NOUN
ap-9324	263	3	∫	∫	PROPN
ap-9324	263	4	jh	jh	PROPN
ap-9324	263	5	(	(	PUNCT
ap-9324	263	6	j−1)h	j−1)h	PROPN
ap-9324	263	7	(	(	PUNCT
ap-9324	263	8	(	(	PUNCT
ap-9324	263	9	t	t	PROPN
ap-9324	263	10	−	−	PROPN
ap-9324	263	11	x)f	x)f	PUNCT
ap-9324	263	12	′	′	NUM
ap-9324	263	13	t(ηi	t(ηi	NOUN
ap-9324	263	14	,	,	PUNCT
ap-9324	263	15	ηj	ηj	NOUN
ap-9324	263	16	)	)	PUNCT
ap-9324	263	17	+	+	CCONJ
ap-9324	263	18	(	(	PUNCT
ap-9324	263	19	s	s	NOUN
ap-9324	263	20	−	−	NOUN
ap-9324	263	21	y)f	y)f	NOUN
ap-9324	263	22	′	′	NUM
ap-9324	263	23	s(ηi	s(ηi	NOUN
ap-9324	263	24	,	,	PUNCT
ap-9324	263	25	ηj	ηj	NOUN
ap-9324	263	26	)	)	PUNCT
ap-9324	263	27	)	)	PUNCT
ap-9324	263	28	dydx	dydx	NOUN
ap-9324	264	1	=	=	PUNCT
ap-9324	264	2	f	f	NOUN
ap-9324	264	3	′	′	NUM
ap-9324	264	4	t(ηi	t(ηi	NOUN
ap-9324	264	5	,	,	PUNCT
ap-9324	264	6	ηj	ηj	NOUN
ap-9324	264	7	)	)	PUNCT
ap-9324	264	8	(	(	PUNCT
ap-9324	264	9	t	t	PROPN
ap-9324	264	10	+	+	CCONJ
ap-9324	264	11	(	(	PUNCT
ap-9324	264	12	−i	−i	PROPN
ap-9324	264	13	+	+	CCONJ
ap-9324	264	14	1	1	NUM
ap-9324	264	15	2	2	NUM
ap-9324	264	16	)	)	PUNCT
ap-9324	264	17	h	h	NOUN
ap-9324	264	18	)	)	PUNCT
ap-9324	265	1	+	+	NUM
ap-9324	265	2	f	f	NOUN
ap-9324	265	3	′	′	NUM
ap-9324	265	4	s(ηi	s(ηi	NOUN
ap-9324	265	5	,	,	PUNCT
ap-9324	265	6	ηj	ηj	NOUN
ap-9324	265	7	)	)	PUNCT
ap-9324	265	8	(	(	PUNCT
ap-9324	265	9	s	s	AUX
ap-9324	265	10	+	+	CCONJ
ap-9324	265	11	(	(	PUNCT
ap-9324	265	12	−j	−j	NOUN
ap-9324	265	13	+	+	CCONJ
ap-9324	265	14	1	1	NUM
ap-9324	265	15	2	2	NUM
ap-9324	265	16	)	)	PUNCT
ap-9324	265	17	h	h	NOUN
ap-9324	265	18	)	)	PUNCT
ap-9324	265	19	,	,	PUNCT
ap-9324	265	20	where	where	SCONJ
ap-9324	265	21	(	(	PUNCT
ap-9324	265	22	t	t	PROPN
ap-9324	265	23	,	,	PUNCT
ap-9324	265	24	s	s	PART
ap-9324	265	25	)	)	PUNCT
ap-9324	265	26	,	,	PUNCT
ap-9324	265	27	(	(	PUNCT
ap-9324	265	28	ηi	ηi	PROPN
ap-9324	265	29	,	,	PUNCT
ap-9324	265	30	ηj	ηj	NOUN
ap-9324	265	31	)	)	PUNCT
ap-9324	265	32	∈	∈	PROPN
ap-9324	265	33	aij	aij	PROPN
ap-9324	265	34	;	;	PUNCT
ap-9324	265	35	then	then	ADV
ap-9324	265	36	:	:	PUNCT
ap-9324	265	37	∥eij(t	∥eij(t	X
ap-9324	265	38	,	,	PUNCT
ap-9324	265	39	s)∥2	s)∥2	ADJ
ap-9324	265	40	=	=	SYM
ap-9324	265	41	∫	∫	PROPN
ap-9324	265	42	ih	ih	INTJ
ap-9324	265	43	(	(	PUNCT
ap-9324	265	44	i−1)h	i−1)h	NOUN
ap-9324	265	45	∫	∫	PROPN
ap-9324	265	46	jh	jh	PROPN
ap-9324	265	47	(	(	PUNCT
ap-9324	265	48	j−1)h	j−1)h	PROPN
ap-9324	265	49	|eij(t	|eij(t	PROPN
ap-9324	265	50	,	,	PUNCT
ap-9324	265	51	s)|2	s)|2	VERB
ap-9324	265	52	dsdt	dsdt	NOUN
ap-9324	265	53	=	=	SYM
ap-9324	265	54	h4	h4	PROPN
ap-9324	265	55	12(f	12(f	NUM
ap-9324	265	56	′2	′2	PROPN
ap-9324	265	57	t	t	PROPN
ap-9324	265	58	(	(	PUNCT
ap-9324	265	59	ηi	ηi	PROPN
ap-9324	265	60	,	,	PUNCT
ap-9324	265	61	ηj	ηj	NOUN
ap-9324	265	62	)	)	PUNCT
ap-9324	266	1	+	+	CCONJ
ap-9324	266	2	f	f	X
ap-9324	266	3	′2	′2	PROPN
ap-9324	266	4	s	s	X
ap-9324	266	5	(	(	PUNCT
ap-9324	266	6	ηi	ηi	PROPN
ap-9324	266	7	,	,	PUNCT
ap-9324	266	8	ηj	ηj	NOUN
ap-9324	266	9	)	)	PUNCT
ap-9324	266	10	)	)	PUNCT
ap-9324	266	11	,	,	PUNCT
ap-9324	266	12	(	(	PUNCT
ap-9324	266	13	37	37	NUM
ap-9324	266	14	)	)	PUNCT
ap-9324	266	15	where	where	SCONJ
ap-9324	266	16	(	(	PUNCT
ap-9324	266	17	ηi	ηi	PROPN
ap-9324	266	18	,	,	PUNCT
ap-9324	266	19	ηj	ηj	NOUN
ap-9324	266	20	)	)	PUNCT
ap-9324	266	21	∈	∈	PROPN
ap-9324	266	22	aij	aij	PROPN
ap-9324	266	23	,	,	PUNCT
ap-9324	266	24	i	i	PROPN
ap-9324	266	25	,	,	PUNCT
ap-9324	266	26	j	j	PROPN
ap-9324	266	27	=	=	SYM
ap-9324	266	28	1	1	NUM
ap-9324	266	29	,	,	PUNCT
ap-9324	266	30	2	2	NUM
ap-9324	266	31	,	,	PUNCT
ap-9324	266	32	.	.	PUNCT
ap-9324	266	33	.	.	PUNCT
ap-9324	267	1	.	.	PUNCT
ap-9324	268	1	,	,	PUNCT
ap-9324	268	2	m.	m.	NOUN
ap-9324	268	3	consequently	consequently	ADV
ap-9324	268	4	,	,	PUNCT
ap-9324	268	5	we	we	PRON
ap-9324	268	6	have	have	VERB
ap-9324	268	7	:	:	PUNCT
ap-9324	269	1	∥e(t	∥e(t	ADJ
ap-9324	269	2	,	,	PUNCT
ap-9324	269	3	s)∥2	s)∥2	ADJ
ap-9324	269	4	=	=	SYM
ap-9324	269	5	∫	∫	PROPN
ap-9324	269	6	1	1	NUM
ap-9324	269	7	0	0	NUM
ap-9324	269	8	∫	∫	PROPN
ap-9324	269	9	1	1	NUM
ap-9324	269	10	0	0	X
ap-9324	269	11	|e(t	|e(t	PROPN
ap-9324	269	12	,	,	PUNCT
ap-9324	269	13	s)|2	s)|2	VERB
ap-9324	269	14	dsdt	dsdt	NOUN
ap-9324	269	15	=	=	NOUN
ap-9324	269	16	∫	∫	PROPN
ap-9324	269	17	1	1	NUM
ap-9324	269	18	0	0	NUM
ap-9324	269	19	∫	∫	PROPN
ap-9324	269	20	1	1	NUM
ap-9324	269	21	0	0	X
ap-9324	270	1			PROPN
ap-9324	270	2	m∑	m∑	VERB
ap-9324	270	3	i=1	i=1	PROPN
ap-9324	270	4	m∑	m∑	PROPN
ap-9324	271	1	j=1	j=1	PROPN
ap-9324	271	2	eij(t	eij(t	PROPN
ap-9324	271	3	,	,	PUNCT
ap-9324	271	4	s	s	PART
ap-9324	271	5	)	)	PUNCT
ap-9324	271	6	2	2	PROPN
ap-9324	271	7	dsdt	dsdt	NOUN
ap-9324	271	8	=	=	PROPN
ap-9324	271	9	m∑	m∑	ADP
ap-9324	271	10	i=1	i=1	PROPN
ap-9324	271	11	m∑	m∑	PROPN
ap-9324	272	1	j=1	j=1	PROPN
ap-9324	272	2	∫	∫	PROPN
ap-9324	272	3	1	1	NUM
ap-9324	272	4	0	0	NUM
ap-9324	272	5	∫	∫	PROPN
ap-9324	272	6	1	1	NUM
ap-9324	272	7	0	0	NUM
ap-9324	272	8	e2	e2	PROPN
ap-9324	272	9	ij(t	ij(t	PROPN
ap-9324	272	10	,	,	PUNCT
ap-9324	272	11	s)dsdt	s)dsdt	PROPN
ap-9324	272	12	=	=	PUNCT
ap-9324	272	13	m∑	m∑	CCONJ
ap-9324	272	14	i=1	i=1	PROPN
ap-9324	272	15	m∑	m∑	PROPN
ap-9324	273	1	j=1	j=1	PROPN
ap-9324	273	2	∥eij(t	∥eij(t	PROPN
ap-9324	273	3	,	,	PUNCT
ap-9324	273	4	s)∥2	s)∥2	ADJ
ap-9324	273	5	=	=	PUNCT
ap-9324	273	6	h4	h4	PROPN
ap-9324	273	7	12	12	NUM
ap-9324	273	8	m∑	m∑	NOUN
ap-9324	273	9	i=1	i=1	PROPN
ap-9324	273	10	m∑	m∑	ADV
ap-9324	274	1	j=1	j=1	NOUN
ap-9324	274	2	(	(	PUNCT
ap-9324	274	3	f	f	PROPN
ap-9324	274	4	′2	′2	PROPN
ap-9324	274	5	t	t	PROPN
ap-9324	274	6	(	(	PUNCT
ap-9324	274	7	ηi	ηi	PROPN
ap-9324	274	8	,	,	PUNCT
ap-9324	274	9	ηj	ηj	NOUN
ap-9324	274	10	)	)	PUNCT
ap-9324	274	11	+	+	CCONJ
ap-9324	274	12	f	f	X
ap-9324	274	13	′2	′2	PROPN
ap-9324	274	14	s	s	X
ap-9324	274	15	(	(	PUNCT
ap-9324	274	16	ηi	ηi	PROPN
ap-9324	274	17	,	,	PUNCT
ap-9324	274	18	ηj	ηj	NOUN
ap-9324	274	19	)	)	PUNCT
ap-9324	274	20	)	)	PUNCT
ap-9324	274	21	≤	≤	NUM
ap-9324	274	22	h2	h2	NOUN
ap-9324	274	23	12	12	NUM
ap-9324	274	24	(	(	PUNCT
ap-9324	274	25	sup	sup	NOUN
ap-9324	274	26	(	(	PUNCT
ap-9324	274	27	x	x	NOUN
ap-9324	274	28	,	,	PUNCT
ap-9324	274	29	y)∈a	y)∈a	PROPN
ap-9324	274	30	|f	|f	PROPN
ap-9324	274	31	′	′	NUM
ap-9324	275	1	t(x	t(x	PROPN
ap-9324	275	2	,	,	PUNCT
ap-9324	275	3	y)|2	y)|2	X
ap-9324	276	1	+	+	CCONJ
ap-9324	276	2	sup	sup	NOUN
ap-9324	276	3	(	(	PUNCT
ap-9324	276	4	x	x	NOUN
ap-9324	276	5	,	,	PUNCT
ap-9324	276	6	y)∈a	y)∈a	PROPN
ap-9324	276	7	|f	|f	PROPN
ap-9324	276	8	′	′	PROPN
ap-9324	276	9	s(x	s(x	PROPN
ap-9324	276	10	,	,	PUNCT
ap-9324	276	11	y)|2	y)|2	NUM
ap-9324	276	12	)	)	PUNCT
ap-9324	276	13	,	,	PUNCT
ap-9324	276	14	(	(	PUNCT
ap-9324	276	15	38	38	NUM
ap-9324	276	16	)	)	PUNCT
ap-9324	276	17	or	or	CCONJ
ap-9324	276	18	:	:	PUNCT
ap-9324	276	19	∥e(t	∥e(t	ADJ
ap-9324	276	20	,	,	PUNCT
ap-9324	276	21	s)∥	s)∥	NOUN
ap-9324	276	22	≤	≤	NUM
ap-9324	276	23	h	h	NOUN
ap-9324	276	24	2	2	NUM
ap-9324	276	25	√	√	NUM
ap-9324	276	26	3	3	NUM
ap-9324	276	27	(	(	PUNCT
ap-9324	276	28	∥f	∥f	INTJ
ap-9324	276	29	′	′	NUM
ap-9324	277	1	t∥	t∥	NUM
ap-9324	277	2	2	2	NUM
ap-9324	277	3	∞	∞	NUM
ap-9324	277	4	+	+	CCONJ
ap-9324	277	5	∥f	∥f	ADJ
ap-9324	277	6	′	′	NUM
ap-9324	277	7	s∥2	s∥2	NOUN
ap-9324	277	8	∞	∞	NUM
ap-9324	277	9	)	)	PUNCT
ap-9324	277	10	1	1	NUM
ap-9324	277	11	2	2	NUM
ap-9324	277	12	,	,	PUNCT
ap-9324	277	13	hence	hence	ADV
ap-9324	277	14	,	,	PUNCT
ap-9324	277	15	∥e(s	∥e(s	ADJ
ap-9324	277	16	,	,	PUNCT
ap-9324	277	17	t)∥	t)∥	PUNCT
ap-9324	277	18	=	=	SYM
ap-9324	277	19	o(h	o(h	ADJ
ap-9324	277	20	)	)	PUNCT
ap-9324	277	21	.	.	PUNCT
ap-9324	278	1	□	□	PUNCT
ap-9324	278	2	theorem	theorem	NOUN
ap-9324	278	3	3	3	X
ap-9324	278	4	.	.	PUNCT
ap-9324	278	5	let	let	VERB
ap-9324	278	6	x(t	x(t	PROPN
ap-9324	278	7	)	)	PUNCT
ap-9324	278	8	and	and	CCONJ
ap-9324	278	9	x̂(t	x̂(t	NOUN
ap-9324	278	10	)	)	PUNCT
ap-9324	278	11	be	be	AUX
ap-9324	278	12	solutions	solution	NOUN
ap-9324	278	13	of	of	ADP
ap-9324	278	14	equations	equation	NOUN
ap-9324	278	15	(	(	PUNCT
ap-9324	278	16	25	25	NUM
ap-9324	278	17	)	)	PUNCT
ap-9324	278	18	and	and	CCONJ
ap-9324	278	19	(	(	PUNCT
ap-9324	278	20	26	26	NUM
ap-9324	278	21	)	)	PUNCT
ap-9324	278	22	,	,	PUNCT
ap-9324	278	23	respectively	respectively	ADV
ap-9324	278	24	,	,	PUNCT
ap-9324	278	25	and	and	CCONJ
ap-9324	278	26	let	let	VERB
ap-9324	278	27	∥x(t)∥	∥x(t)∥	NOUN
ap-9324	278	28	<	<	X
ap-9324	278	29	c	c	NOUN
ap-9324	278	30	and	and	CCONJ
ap-9324	278	31	∥ki∥	∥ki∥	NOUN
ap-9324	278	32	<	<	X
ap-9324	278	33	c	c	NOUN
ap-9324	278	34	for	for	ADP
ap-9324	278	35	i	i	PRON
ap-9324	278	36	=	=	NOUN
ap-9324	278	37	1	1	NUM
ap-9324	278	38	,	,	PUNCT
ap-9324	278	39	2	2	NUM
ap-9324	278	40	,	,	PUNCT
ap-9324	278	41	3	3	NUM
ap-9324	278	42	.	.	PUNCT
ap-9324	279	1	then	then	ADV
ap-9324	279	2	:	:	PUNCT
ap-9324	279	3	e	e	X
ap-9324	279	4	(	(	PUNCT
ap-9324	279	5	∥∥∥x(t	∥∥∥x(t	PROPN
ap-9324	279	6	)	)	PUNCT
ap-9324	279	7	−	−	PROPN
ap-9324	279	8	x̂(t	x̂(t	NOUN
ap-9324	279	9	)	)	PUNCT
ap-9324	279	10	∥∥∥2	∥∥∥2	NOUN
ap-9324	279	11	)	)	PUNCT
ap-9324	279	12	≤	≤	NUM
ap-9324	279	13	o(h2	o(h2	NOUN
ap-9324	279	14	)	)	PUNCT
ap-9324	279	15	,	,	PUNCT
ap-9324	279	16	where	where	SCONJ
ap-9324	279	17	t	t	PROPN
ap-9324	279	18	∈	∈	PROPN
ap-9324	280	1	[	[	X
ap-9324	280	2	0	0	NUM
ap-9324	280	3	,	,	PUNCT
ap-9324	280	4	t	t	PROPN
ap-9324	280	5	)	)	PUNCT
ap-9324	280	6	,	,	PUNCT
ap-9324	280	7	τ	τ	PROPN
ap-9324	280	8	∈	∈	PROPN
ap-9324	281	1	[	[	X
ap-9324	281	2	0	0	NUM
ap-9324	281	3	,	,	PUNCT
ap-9324	281	4	1	1	NUM
ap-9324	281	5	)	)	PUNCT
ap-9324	281	6	;	;	PUNCT
ap-9324	281	7	and	and	CCONJ
ap-9324	281	8	:	:	PUNCT
ap-9324	281	9	sup	sup	PROPN
ap-9324	281	10	0≤τ	0≤τ	PROPN
ap-9324	281	11	<	<	X
ap-9324	281	12	z	z	PROPN
ap-9324	281	13	(	(	PUNCT
ap-9324	281	14	e	e	NOUN
ap-9324	281	15	(	(	PUNCT
ap-9324	281	16	∥∥∥x(t	∥∥∥x(t	PROPN
ap-9324	281	17	)	)	PUNCT
ap-9324	281	18	−	−	PROPN
ap-9324	281	19	x̂(t	x̂(t	NOUN
ap-9324	281	20	)	)	PUNCT
ap-9324	281	21	∥∥∥2	∥∥∥2	NOUN
ap-9324	281	22	)	)	PUNCT
ap-9324	281	23	)	)	PUNCT
ap-9324	282	1	1	1	NUM
ap-9324	282	2	2	2	NUM
ap-9324	282	3	=	=	SYM
ap-9324	282	4	o(h4	o(h4	PROPN
ap-9324	282	5	)	)	PUNCT
ap-9324	282	6	,	,	PUNCT
ap-9324	282	7	where	where	SCONJ
ap-9324	282	8	t	t	PROPN
ap-9324	282	9	∈	∈	PROPN
ap-9324	283	1	[	[	X
ap-9324	283	2	0	0	NUM
ap-9324	283	3	,	,	PUNCT
ap-9324	283	4	t	t	PROPN
ap-9324	283	5	)	)	PUNCT
ap-9324	283	6	,	,	PUNCT
ap-9324	283	7	τ	τ	PROPN
ap-9324	283	8	∈	∈	PROPN
ap-9324	284	1	[	[	X
ap-9324	284	2	0	0	NUM
ap-9324	284	3	,	,	PUNCT
ap-9324	284	4	1	1	NUM
ap-9324	284	5	]	]	PUNCT
ap-9324	284	6	.	.	PUNCT
ap-9324	285	1	134	134	NUM
ap-9324	285	2	vol	vol	NOUN
ap-9324	285	3	.	.	PUNCT
ap-9324	286	1	64	64	NUM
ap-9324	286	2	no	no	NOUN
ap-9324	286	3	.	.	PUNCT
ap-9324	287	1	2/2024	2/2024	NUM
ap-9324	287	2	stochastic	stochastic	ADJ
ap-9324	287	3	volterra	volterra	NOUN
ap-9324	287	4	-	-	PUNCT
ap-9324	287	5	fredholm	fredholm	NOUN
ap-9324	287	6	with	with	ADP
ap-9324	287	7	delay	delay	NOUN
ap-9324	287	8	proof	proof	NOUN
ap-9324	287	9	.	.	PUNCT
ap-9324	288	1	we	we	PRON
ap-9324	288	2	then	then	ADV
ap-9324	288	3	conduct	conduct	VERB
ap-9324	288	4	an	an	DET
ap-9324	288	5	error	error	NOUN
ap-9324	288	6	analysis	analysis	NOUN
ap-9324	288	7	in	in	ADP
ap-9324	288	8	two	two	NUM
ap-9324	288	9	ways	way	NOUN
ap-9324	288	10	:	:	PUNCT
ap-9324	288	11	(	(	PUNCT
ap-9324	288	12	1	1	NUM
ap-9324	288	13	.	.	PUNCT
ap-9324	288	14	)	)	PUNCT
ap-9324	288	15	on	on	ADP
ap-9324	288	16	the	the	DET
ap-9324	288	17	basis	basis	NOUN
ap-9324	288	18	of	of	ADP
ap-9324	288	19	equation	equation	NOUN
ap-9324	288	20	(	(	PUNCT
ap-9324	288	21	25	25	NUM
ap-9324	288	22	)	)	PUNCT
ap-9324	288	23	,	,	PUNCT
ap-9324	288	24	which	which	PRON
ap-9324	288	25	we	we	PRON
ap-9324	288	26	express	express	VERB
ap-9324	288	27	as	as	ADP
ap-9324	288	28	:	:	PUNCT
ap-9324	288	29	x(t	x(t	PROPN
ap-9324	288	30	)	)	PUNCT
ap-9324	288	31	−	−	PROPN
ap-9324	288	32	x̂(t	x̂(t	SYM
ap-9324	288	33	)	)	PUNCT
ap-9324	288	34	=	=	SYM
ap-9324	288	35	f(t	f(t	NOUN
ap-9324	288	36	)	)	PUNCT
ap-9324	288	37	−	−	PROPN
ap-9324	288	38	f̂(t	f̂(t	NOUN
ap-9324	288	39	)	)	PUNCT
ap-9324	288	40	+	+	CCONJ
ap-9324	288	41	(	(	PUNCT
ap-9324	288	42	∫	∫	PROPN
ap-9324	288	43	t	t	PROPN
ap-9324	288	44	0	0	NUM
ap-9324	288	45	k1(t	k1(t	PROPN
ap-9324	288	46	,	,	PUNCT
ap-9324	288	47	s)x(s	s)x(s	NOUN
ap-9324	288	48	−	−	PROPN
ap-9324	288	49	τ	τ	NOUN
ap-9324	288	50	)	)	PUNCT
ap-9324	288	51	−	−	PROPN
ap-9324	288	52	∫	∫	PROPN
ap-9324	288	53	t	t	PROPN
ap-9324	288	54	0	0	NUM
ap-9324	288	55	k̂1(t	k̂1(t	PROPN
ap-9324	288	56	,	,	PUNCT
ap-9324	288	57	s)x̂(s	s)x̂(s	ADP
ap-9324	288	58	−	−	PROPN
ap-9324	288	59	τ	τ	PROPN
ap-9324	288	60	)	)	PUNCT
ap-9324	288	61	)	)	PUNCT
ap-9324	289	1	ds	ds	PROPN
ap-9324	289	2	+	+	CCONJ
ap-9324	290	1	(	(	PUNCT
ap-9324	290	2	∫	∫	PROPN
ap-9324	290	3	t	t	PROPN
ap-9324	290	4	0	0	NUM
ap-9324	290	5	k2(t	k2(t	PROPN
ap-9324	290	6	,	,	PUNCT
ap-9324	290	7	s)x(s	s)x(s	NOUN
ap-9324	290	8	−	−	PROPN
ap-9324	290	9	τ	τ	NOUN
ap-9324	290	10	)	)	PUNCT
ap-9324	290	11	−	−	PROPN
ap-9324	291	1	∫	∫	PROPN
ap-9324	291	2	t	t	PROPN
ap-9324	291	3	0	0	NUM
ap-9324	292	1	k̂2(t	k̂2(t	PROPN
ap-9324	292	2	,	,	PUNCT
ap-9324	292	3	s)x̂(s	s)x̂(s	ADP
ap-9324	292	4	−	−	PROPN
ap-9324	292	5	τ	τ	PROPN
ap-9324	292	6	)	)	PUNCT
ap-9324	292	7	)	)	PUNCT
ap-9324	293	1	ds	ds	PROPN
ap-9324	293	2	+	+	CCONJ
ap-9324	293	3	(	(	PUNCT
ap-9324	293	4	∫	∫	PROPN
ap-9324	293	5	t	t	PROPN
ap-9324	293	6	0	0	NUM
ap-9324	293	7	k2(t	k2(t	PROPN
ap-9324	293	8	,	,	PUNCT
ap-9324	293	9	s	s	PART
ap-9324	293	10	)	)	PUNCT
ap-9324	293	11	−	−	PROPN
ap-9324	294	1	∫	∫	PROPN
ap-9324	294	2	t	t	PROPN
ap-9324	294	3	0	0	NUM
ap-9324	295	1	k̂3(t	k̂3(t	PROPN
ap-9324	295	2	,	,	PUNCT
ap-9324	295	3	s	s	NOUN
ap-9324	295	4	)	)	PUNCT
ap-9324	295	5	)	)	PUNCT
ap-9324	295	6	db(s	db(	NOUN
ap-9324	295	7	)	)	PUNCT
ap-9324	295	8	,	,	PUNCT
ap-9324	295	9	and	and	CCONJ
ap-9324	295	10	taking	take	VERB
ap-9324	295	11	into	into	ADP
ap-9324	295	12	account	account	NOUN
ap-9324	295	13	the	the	DET
ap-9324	295	14	euclidean	euclidean	ADJ
ap-9324	295	15	norm	norm	NOUN
ap-9324	295	16	:	:	PUNCT
ap-9324	295	17	e	e	NOUN
ap-9324	295	18	∥∥∥x(t	∥∥∥x(t	PROPN
ap-9324	295	19	)	)	PUNCT
ap-9324	295	20	−	−	PROPN
ap-9324	295	21	x̂(t	x̂(t	NOUN
ap-9324	295	22	)	)	PUNCT
ap-9324	295	23	∥∥∥2	∥∥∥2	X
ap-9324	296	1	=	=	SYM
ap-9324	296	2	e	e	NOUN
ap-9324	296	3	∥∥∥∥	∥∥∥∥	PROPN
ap-9324	296	4	f(t	f(t	NOUN
ap-9324	296	5	)	)	PUNCT
ap-9324	296	6	−	−	ADP
ap-9324	296	7	f̂(t	f̂(t	NOUN
ap-9324	296	8	)	)	PUNCT
ap-9324	296	9	+	+	CCONJ
ap-9324	297	1	(	(	PUNCT
ap-9324	297	2	∫	∫	PROPN
ap-9324	297	3	t	t	PROPN
ap-9324	297	4	0	0	NUM
ap-9324	297	5	k1(t	k1(t	PROPN
ap-9324	297	6	,	,	PUNCT
ap-9324	297	7	s)x(s	s)x(s	NOUN
ap-9324	297	8	−	−	PROPN
ap-9324	297	9	τ	τ	NOUN
ap-9324	297	10	)	)	PUNCT
ap-9324	297	11	−	−	PROPN
ap-9324	298	1	∫	∫	PROPN
ap-9324	298	2	t	t	PROPN
ap-9324	298	3	0	0	NUM
ap-9324	298	4	k̂1(t	k̂1(t	PROPN
ap-9324	298	5	,	,	PUNCT
ap-9324	298	6	s)x̂(s	s)x̂(s	ADP
ap-9324	298	7	−	−	PROPN
ap-9324	298	8	τ	τ	PROPN
ap-9324	298	9	)	)	PUNCT
ap-9324	298	10	)	)	PUNCT
ap-9324	299	1	ds	ds	PROPN
ap-9324	299	2	+	+	CCONJ
ap-9324	300	1	(	(	PUNCT
ap-9324	300	2	∫	∫	PROPN
ap-9324	300	3	t	t	PROPN
ap-9324	300	4	0	0	NUM
ap-9324	300	5	k2(t	k2(t	PROPN
ap-9324	300	6	,	,	PUNCT
ap-9324	300	7	s)x(s	s)x(s	NOUN
ap-9324	300	8	−	−	PROPN
ap-9324	300	9	τ	τ	NOUN
ap-9324	300	10	)	)	PUNCT
ap-9324	300	11	−	−	PROPN
ap-9324	301	1	∫	∫	PROPN
ap-9324	301	2	t	t	PROPN
ap-9324	301	3	0	0	NUM
ap-9324	302	1	k̂2(t	k̂2(t	PROPN
ap-9324	302	2	,	,	PUNCT
ap-9324	302	3	s)x̂(s	s)x̂(s	ADP
ap-9324	302	4	−	−	PROPN
ap-9324	302	5	τ	τ	PROPN
ap-9324	302	6	)	)	PUNCT
ap-9324	302	7	)	)	PUNCT
ap-9324	303	1	ds	ds	PROPN
ap-9324	303	2	+	+	CCONJ
ap-9324	303	3	(	(	PUNCT
ap-9324	303	4	∫	∫	PROPN
ap-9324	303	5	t	t	PROPN
ap-9324	303	6	0	0	NUM
ap-9324	304	1	k3(t	k3(t	PROPN
ap-9324	304	2	,	,	PUNCT
ap-9324	304	3	s	s	PART
ap-9324	304	4	)	)	PUNCT
ap-9324	304	5	−	−	PROPN
ap-9324	305	1	∫	∫	PROPN
ap-9324	305	2	t	t	PROPN
ap-9324	305	3	0	0	NUM
ap-9324	306	1	k̂3(t	k̂3(t	PROPN
ap-9324	306	2	,	,	PUNCT
ap-9324	306	3	s	s	NOUN
ap-9324	306	4	)	)	PUNCT
ap-9324	306	5	)	)	PUNCT
ap-9324	307	1	db(s	db(s	X
ap-9324	307	2	)	)	PUNCT
ap-9324	308	1	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	308	2	,	,	PUNCT
ap-9324	308	3	and	and	CCONJ
ap-9324	308	4	(	(	PUNCT
ap-9324	308	5	a	a	DET
ap-9324	308	6	+	+	X
ap-9324	308	7	b	b	NOUN
ap-9324	308	8	+	+	CCONJ
ap-9324	308	9	c	c	NOUN
ap-9324	308	10	+	+	NOUN
ap-9324	308	11	d)2	d)2	NOUN
ap-9324	308	12	≤	≤	NUM
ap-9324	308	13	4(a2	4(a2	NUM
ap-9324	308	14	+	+	CCONJ
ap-9324	308	15	b2	b2	NOUN
ap-9324	308	16	+	+	CCONJ
ap-9324	308	17	c2	c2	PROPN
ap-9324	308	18	+	+	CCONJ
ap-9324	308	19	d2	d2	PROPN
ap-9324	308	20	)	)	PUNCT
ap-9324	308	21	,	,	PUNCT
ap-9324	308	22	we	we	PRON
ap-9324	308	23	obtain	obtain	VERB
ap-9324	308	24	:	:	PUNCT
ap-9324	308	25	≤	≤	NUM
ap-9324	308	26	4	4	NUM
ap-9324	308	27	(	(	PUNCT
ap-9324	308	28	e	e	NOUN
ap-9324	308	29	∥∥∥f(t	∥∥∥f(t	NOUN
ap-9324	308	30	)	)	PUNCT
ap-9324	308	31	−	−	PROPN
ap-9324	308	32	f̂(t	f̂(t	NOUN
ap-9324	308	33	)	)	PUNCT
ap-9324	308	34	∥∥∥2	∥∥∥2	NOUN
ap-9324	309	1	+	+	CCONJ
ap-9324	309	2	e	e	X
ap-9324	309	3	∥∥∥∥∫	∥∥∥∥∫	PROPN
ap-9324	309	4	t	t	PROPN
ap-9324	309	5	0	0	NUM
ap-9324	310	1	k1(t	k1(t	PROPN
ap-9324	310	2	,	,	PUNCT
ap-9324	310	3	s)x(s	s)x(s	NOUN
ap-9324	310	4	−	−	PROPN
ap-9324	311	1	τ	τ	NOUN
ap-9324	311	2	)	)	PUNCT
ap-9324	312	1	−	−	PROPN
ap-9324	312	2	∫	∫	PROPN
ap-9324	312	3	t	t	PROPN
ap-9324	312	4	0	0	NUM
ap-9324	312	5	k̂1(t	k̂1(t	PROPN
ap-9324	312	6	,	,	PUNCT
ap-9324	312	7	s)x̂(s	s)x̂(s	ADP
ap-9324	312	8	−	−	PROPN
ap-9324	312	9	τ	τ	PROPN
ap-9324	312	10	)	)	PUNCT
ap-9324	312	11	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	313	1	ds	ds	ADJ
ap-9324	313	2	+	+	CCONJ
ap-9324	313	3	e	e	NOUN
ap-9324	313	4	∥∥∥∥∫	∥∥∥∥∫	PROPN
ap-9324	313	5	t	t	PROPN
ap-9324	313	6	0	0	X
ap-9324	314	1	k2(t	k2(t	PROPN
ap-9324	314	2	,	,	PUNCT
ap-9324	314	3	s)x(s	s)x(s	NOUN
ap-9324	314	4	−	−	PROPN
ap-9324	314	5	τ	τ	NOUN
ap-9324	314	6	)	)	PUNCT
ap-9324	314	7	−	−	PROPN
ap-9324	315	1	∫	∫	PROPN
ap-9324	315	2	t	t	PROPN
ap-9324	315	3	0	0	NUM
ap-9324	316	1	k̂2(t	k̂2(t	PROPN
ap-9324	316	2	,	,	PUNCT
ap-9324	316	3	s)x̂(s	s)x̂(s	ADP
ap-9324	316	4	−	−	PROPN
ap-9324	316	5	τ	τ	PROPN
ap-9324	316	6	)	)	PUNCT
ap-9324	316	7	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	317	1	ds	ds	ADJ
ap-9324	317	2	+	+	CCONJ
ap-9324	317	3	e	e	NOUN
ap-9324	317	4	∥∥∥∥∫	∥∥∥∥∫	PROPN
ap-9324	317	5	t	t	PROPN
ap-9324	317	6	0	0	PUNCT
ap-9324	318	1	k3(t	k3(t	PROPN
ap-9324	318	2	,	,	PUNCT
ap-9324	318	3	s	s	PART
ap-9324	318	4	)	)	PUNCT
ap-9324	318	5	−	−	PROPN
ap-9324	319	1	∫	∫	PROPN
ap-9324	319	2	t	t	PROPN
ap-9324	319	3	0	0	NUM
ap-9324	320	1	k̂3(t	k̂3(t	PROPN
ap-9324	320	2	,	,	PUNCT
ap-9324	320	3	s	s	PART
ap-9324	320	4	)	)	PUNCT
ap-9324	320	5	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	320	6	db(s	db(	NOUN
ap-9324	320	7	)	)	PUNCT
ap-9324	320	8	)	)	PUNCT
ap-9324	320	9	.	.	PUNCT
ap-9324	321	1	the	the	DET
ap-9324	321	2	final	final	ADJ
ap-9324	321	3	parts	part	NOUN
ap-9324	321	4	are	be	AUX
ap-9324	321	5	then	then	ADV
ap-9324	321	6	obtained	obtain	VERB
ap-9324	321	7	,	,	PUNCT
ap-9324	321	8	one	one	NUM
ap-9324	321	9	by	by	ADP
ap-9324	321	10	one	one	NUM
ap-9324	321	11	:	:	PUNCT
ap-9324	322	1	i1	i1	PROPN
ap-9324	322	2	=	=	SYM
ap-9324	322	3	∥k1∥	∥k1∥	PROPN
ap-9324	323	1	+	+	CCONJ
ap-9324	324	1	∥k2∥	∥k2∥	PROPN
ap-9324	324	2	=	=	PUNCT
ap-9324	324	3	e	e	NOUN
ap-9324	324	4	∥∥∥∥∫	∥∥∥∥∫	PROPN
ap-9324	324	5	t	t	PROPN
ap-9324	324	6	0	0	NUM
ap-9324	325	1	k1(t	k1(t	PROPN
ap-9324	325	2	,	,	PUNCT
ap-9324	325	3	s)x(s	s)x(s	NOUN
ap-9324	325	4	−	−	PROPN
ap-9324	326	1	τ	τ	NOUN
ap-9324	326	2	)	)	PUNCT
ap-9324	327	1	−	−	PROPN
ap-9324	327	2	∫	∫	PROPN
ap-9324	327	3	t	t	PROPN
ap-9324	327	4	0	0	NUM
ap-9324	327	5	k̂1(t	k̂1(t	PROPN
ap-9324	327	6	,	,	PUNCT
ap-9324	327	7	s)x̂(s	s)x̂(s	ADP
ap-9324	327	8	−	−	PROPN
ap-9324	327	9	τ	τ	PROPN
ap-9324	327	10	)	)	PUNCT
ap-9324	327	11	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	327	12	ds	ds	ADJ
ap-9324	327	13	=	=	SYM
ap-9324	327	14	e	e	PROPN
ap-9324	327	15	∥∥∥∥(∫	∥∥∥∥(∫	PROPN
ap-9324	327	16	t	t	PROPN
ap-9324	327	17	0	0	NUM
ap-9324	328	1	k1(t	k1(t	PROPN
ap-9324	328	2	,	,	PUNCT
ap-9324	328	3	s)x(s	s)x(s	NOUN
ap-9324	328	4	−	−	PROPN
ap-9324	329	1	τ	τ	NOUN
ap-9324	329	2	)	)	PUNCT
ap-9324	330	1	−	−	PROPN
ap-9324	330	2	∫	∫	PROPN
ap-9324	330	3	t	t	PROPN
ap-9324	330	4	0	0	NUM
ap-9324	330	5	k̂1(t	k̂1(t	PROPN
ap-9324	330	6	,	,	PUNCT
ap-9324	330	7	s)x(s	s)x(s	NOUN
ap-9324	330	8	−	−	PROPN
ap-9324	330	9	τ	τ	PROPN
ap-9324	330	10	)	)	PUNCT
ap-9324	330	11	)	)	PUNCT
ap-9324	331	1	+	+	CCONJ
ap-9324	331	2	(	(	PUNCT
ap-9324	331	3	∫	∫	PROPN
ap-9324	331	4	t	t	PROPN
ap-9324	331	5	0	0	NUM
ap-9324	331	6	k̂1(t	k̂1(t	PROPN
ap-9324	331	7	,	,	PUNCT
ap-9324	331	8	s)x(s	s)x(s	NOUN
ap-9324	331	9	−	−	PROPN
ap-9324	331	10	τ	τ	PROPN
ap-9324	331	11	)	)	PUNCT
ap-9324	332	1	−	−	PROPN
ap-9324	332	2	∫	∫	PROPN
ap-9324	332	3	t	t	PROPN
ap-9324	332	4	0	0	NUM
ap-9324	332	5	k̂1(t	k̂1(t	PROPN
ap-9324	332	6	,	,	PUNCT
ap-9324	332	7	s)x̂(s	s)x̂(s	ADP
ap-9324	332	8	−	−	PROPN
ap-9324	332	9	τ	τ	PROPN
ap-9324	332	10	)	)	PUNCT
ap-9324	332	11	)	)	PUNCT
ap-9324	333	1	∥∥∥∥2	∥∥∥∥2	PROPN
ap-9324	333	2	≤	≤	PUNCT
ap-9324	333	3	2e	2e	PROPN
ap-9324	333	4	∥∥∥∥∫	∥∥∥∥∫	NOUN
ap-9324	333	5	t	t	NOUN
ap-9324	333	6	0	0	NUM
ap-9324	334	1	[	[	X
ap-9324	334	2	k1(t	k1(t	X
ap-9324	334	3	,	,	PUNCT
ap-9324	334	4	s	s	NOUN
ap-9324	334	5	)	)	PUNCT
ap-9324	334	6	−	−	PROPN
ap-9324	334	7	k̂1(t	k̂1(t	PROPN
ap-9324	334	8	,	,	PUNCT
ap-9324	334	9	s)]x(s	s)]x(s	PROPN
ap-9324	334	10	−	−	PUNCT
ap-9324	335	1	τ)ds	τ)ds	PROPN
ap-9324	335	2	∥∥∥∥2	∥∥∥∥2	PROPN
ap-9324	335	3	+	+	CCONJ
ap-9324	335	4	2e	2e	PROPN
ap-9324	335	5	∥∥∥k̂1(t	∥∥∥k̂1(t	PROPN
ap-9324	335	6	,	,	PUNCT
ap-9324	335	7	s)[x(s	s)[x(s	PROPN
ap-9324	335	8	−	−	PROPN
ap-9324	335	9	τ	τ	PROPN
ap-9324	335	10	)	)	PUNCT
ap-9324	335	11	−	−	PROPN
ap-9324	335	12	x̂(s	x̂(s	PROPN
ap-9324	335	13	−	−	PUNCT
ap-9324	336	1	τ)ds	τ)ds	PROPN
ap-9324	336	2	]	]	X
ap-9324	336	3	∥∥∥2	∥∥∥2	NOUN
ap-9324	336	4	.	.	PUNCT
ap-9324	337	1	≤	≤	NUM
ap-9324	338	1	c	c	X
ap-9324	338	2	∫	∫	PROPN
ap-9324	338	3	t	t	PROPN
ap-9324	338	4	0	0	NUM
ap-9324	338	5	e||k1(t	e||k1(t	PROPN
ap-9324	338	6	,	,	PUNCT
ap-9324	338	7	s	s	NOUN
ap-9324	338	8	)	)	PUNCT
ap-9324	338	9	−	−	PROPN
ap-9324	338	10	k̂1(t	k̂1(t	PROPN
ap-9324	338	11	,	,	PUNCT
ap-9324	338	12	s)||2ds	s)||2ds	NOUN
ap-9324	338	13	+	+	CCONJ
ap-9324	338	14	c	c	PROPN
ap-9324	338	15	∫	∫	PROPN
ap-9324	338	16	t	t	PROPN
ap-9324	338	17	0	0	NUM
ap-9324	338	18	(	(	PUNCT
ap-9324	338	19	e||x(s	e||x(s	X
ap-9324	338	20	−	−	NUM
ap-9324	338	21	τ	τ	PROPN
ap-9324	338	22	)	)	PUNCT
ap-9324	339	1	−	−	PROPN
ap-9324	339	2	x̂(s	x̂(s	PROPN
ap-9324	340	1	−	−	PROPN
ap-9324	340	2	τ)||	τ)||	PROPN
ap-9324	340	3	)	)	PUNCT
ap-9324	340	4	ds	ds	ADJ
ap-9324	340	5	≤	≤	NUM
ap-9324	340	6	c	c	X
ap-9324	340	7	·	·	PUNCT
ap-9324	340	8	o(h4	o(h4	ADJ
ap-9324	340	9	)	)	PUNCT
ap-9324	341	1	+	+	CCONJ
ap-9324	341	2	c	c	NOUN
ap-9324	341	3	·	·	PUNCT
ap-9324	341	4	o(h4	o(h4	ADJ
ap-9324	341	5	)	)	PUNCT
ap-9324	341	6	=	=	SYM
ap-9324	341	7	o(h4	o(h4	PROPN
ap-9324	341	8	)	)	PUNCT
ap-9324	341	9	.	.	PUNCT
ap-9324	342	1	∥k2∥	∥k2∥	PROPN
ap-9324	342	2	is	be	AUX
ap-9324	342	3	omitted	omit	VERB
ap-9324	342	4	since	since	SCONJ
ap-9324	342	5	the	the	DET
ap-9324	342	6	steps	step	NOUN
ap-9324	342	7	are	be	AUX
ap-9324	342	8	similar	similar	ADJ
ap-9324	342	9	to	to	ADP
ap-9324	342	10	∥k1∥.	∥k1∥.	PROPN
ap-9324	342	11	and	and	CCONJ
ap-9324	342	12	:	:	PUNCT
ap-9324	342	13	i2	i2	PROPN
ap-9324	342	14	=	=	PUNCT
ap-9324	343	1	e	e	PROPN
ap-9324	343	2	∥∥∥∥∫	∥∥∥∥∫	PROPN
ap-9324	343	3	t	t	PROPN
ap-9324	343	4	0	0	PUNCT
ap-9324	344	1	k3(t	k3(t	PROPN
ap-9324	344	2	,	,	PUNCT
ap-9324	344	3	s	s	NOUN
ap-9324	344	4	)	)	PUNCT
ap-9324	344	5	−	−	PROPN
ap-9324	344	6	k̂3(t	k̂3(t	PROPN
ap-9324	344	7	,	,	PUNCT
ap-9324	344	8	s	s	PART
ap-9324	344	9	)	)	PUNCT
ap-9324	344	10	∥∥∥∥2	∥∥∥∥2	NOUN
ap-9324	344	11	dbs	dbs	NOUN
ap-9324	344	12	=	=	SYM
ap-9324	344	13	∫	∫	PROPN
ap-9324	345	1	t	t	PROPN
ap-9324	345	2	0	0	NUM
ap-9324	345	3	e	e	NOUN
ap-9324	345	4	(	(	PUNCT
ap-9324	345	5	∥∥∥k3(t	∥∥∥k3(t	PROPN
ap-9324	345	6	,	,	PUNCT
ap-9324	345	7	s	s	NOUN
ap-9324	345	8	)	)	PUNCT
ap-9324	345	9	−	−	PROPN
ap-9324	345	10	k̂3(t	k̂3(t	PROPN
ap-9324	345	11	,	,	PUNCT
ap-9324	345	12	s	s	PART
ap-9324	345	13	)	)	PUNCT
ap-9324	345	14	∥∥∥)ds	∥∥∥)ds	VERB
ap-9324	345	15	≤	≤	ADJ
ap-9324	345	16	o(h4	o(h4	NOUN
ap-9324	345	17	)	)	PUNCT
ap-9324	345	18	,	,	PUNCT
ap-9324	345	19	(	(	PUNCT
ap-9324	345	20	itô	itô	PROPN
ap-9324	345	21	isometry	isometry	PROPN
ap-9324	345	22	)	)	PUNCT
ap-9324	345	23	.	.	PUNCT
ap-9324	346	1	therefore	therefore	ADV
ap-9324	346	2	:	:	PUNCT
ap-9324	346	3	e	e	NOUN
ap-9324	346	4	∥∥∥x(t	∥∥∥x(t	PROPN
ap-9324	346	5	)	)	PUNCT
ap-9324	346	6	−	−	PROPN
ap-9324	346	7	x̂(t	x̂(t	NOUN
ap-9324	346	8	)	)	PUNCT
ap-9324	346	9	∥∥∥2	∥∥∥2	X
ap-9324	346	10	ds	ds	PROPN
ap-9324	346	11	≤	≤	NUM
ap-9324	346	12	4(o(h4	4(o(h4	NUM
ap-9324	346	13	)	)	PUNCT
ap-9324	347	1	+	+	CCONJ
ap-9324	347	2	o(h4	o(h4	ADJ
ap-9324	347	3	)	)	PUNCT
ap-9324	348	1	+	+	CCONJ
ap-9324	348	2	o(h4	o(h4	ADJ
ap-9324	348	3	)	)	PUNCT
ap-9324	349	1	+	+	CCONJ
ap-9324	349	2	o(h4	o(h4	NOUN
ap-9324	349	3	)	)	PUNCT
ap-9324	349	4	)	)	PUNCT
ap-9324	349	5	,	,	PUNCT
ap-9324	350	1	e	e	NOUN
ap-9324	350	2	∥∥∥x(t	∥∥∥x(t	PROPN
ap-9324	350	3	)	)	PUNCT
ap-9324	350	4	−	−	PROPN
ap-9324	350	5	x̂(t	x̂(t	NOUN
ap-9324	350	6	)	)	PUNCT
ap-9324	350	7	∥∥∥	∥∥∥	PROPN
ap-9324	350	8	≤	≤	NUM
ap-9324	350	9	c.o(h2	c.o(h2	PROPN
ap-9324	350	10	)	)	PUNCT
ap-9324	350	11	.	.	PUNCT
ap-9324	351	1	135	135	NUM
ap-9324	351	2	e.	e.	PROPN
ap-9324	351	3	y.	y.	PROPN
ap-9324	351	4	kutorzi	kutorzi	PROPN
ap-9324	351	5	,	,	PUNCT
ap-9324	351	6	y.	y.	PROPN
ap-9324	351	7	zhang	zhang	PROPN
ap-9324	351	8	,	,	PUNCT
ap-9324	351	9	y.	y.	PROPN
ap-9324	351	10	shi	shi	PROPN
ap-9324	351	11	acta	acta	PROPN
ap-9324	351	12	polytechnica	polytechnica	PROPN
ap-9324	351	13	(	(	PUNCT
ap-9324	351	14	2	2	NUM
ap-9324	351	15	.	.	PUNCT
ap-9324	351	16	)	)	PUNCT
ap-9324	352	1	we	we	PRON
ap-9324	352	2	express	express	VERB
ap-9324	352	3	equation	equation	NOUN
ap-9324	352	4	(	(	PUNCT
ap-9324	352	5	25	25	NUM
ap-9324	352	6	)	)	PUNCT
ap-9324	352	7	as	as	ADP
ap-9324	352	8	the	the	DET
ap-9324	352	9	basis	basis	NOUN
ap-9324	352	10	for	for	ADP
ap-9324	352	11	the	the	DET
ap-9324	352	12	analysis	analysis	NOUN
ap-9324	352	13	:	:	PUNCT
ap-9324	352	14	x(t	x(t	PROPN
ap-9324	352	15	)	)	PUNCT
ap-9324	352	16	−	−	PROPN
ap-9324	352	17	x̂(t	x̂(t	NOUN
ap-9324	352	18	)	)	PUNCT
ap-9324	352	19	=	=	SYM
ap-9324	352	20	(	(	PUNCT
ap-9324	352	21	f(t	f(t	PROPN
ap-9324	352	22	)	)	PUNCT
ap-9324	352	23	−	−	PROPN
ap-9324	352	24	f̂(t	f̂(t	NOUN
ap-9324	352	25	)	)	PUNCT
ap-9324	352	26	)	)	PUNCT
ap-9324	353	1	+	+	CCONJ
ap-9324	353	2	(	(	PUNCT
ap-9324	353	3	∫	∫	PROPN
ap-9324	353	4	t	t	PROPN
ap-9324	353	5	0	0	NUM
ap-9324	353	6	k1(t	k1(t	PROPN
ap-9324	353	7	,	,	PUNCT
ap-9324	353	8	s)x(s	s)x(s	NOUN
ap-9324	353	9	−	−	PROPN
ap-9324	353	10	τ	τ	NOUN
ap-9324	353	11	)	)	PUNCT
ap-9324	353	12	−	−	PROPN
ap-9324	354	1	∫	∫	PROPN
ap-9324	354	2	t	t	PROPN
ap-9324	354	3	0	0	NUM
ap-9324	354	4	k̂1(t	k̂1(t	PROPN
ap-9324	354	5	,	,	PUNCT
ap-9324	354	6	s)x̂(s	s)x̂(s	ADP
ap-9324	354	7	−	−	PROPN
ap-9324	354	8	τ)ds	τ)ds	PROPN
ap-9324	354	9	)	)	PUNCT
ap-9324	355	1	+	+	CCONJ
ap-9324	355	2	(	(	PUNCT
ap-9324	355	3	∫	∫	PROPN
ap-9324	355	4	t	t	PROPN
ap-9324	355	5	0	0	NUM
ap-9324	355	6	k2(t	k2(t	PROPN
ap-9324	355	7	,	,	PUNCT
ap-9324	355	8	s)x(s	s)x(s	NOUN
ap-9324	355	9	−	−	PROPN
ap-9324	355	10	τ	τ	NOUN
ap-9324	355	11	)	)	PUNCT
ap-9324	355	12	−	−	PROPN
ap-9324	356	1	∫	∫	PROPN
ap-9324	356	2	t	t	PROPN
ap-9324	356	3	0	0	NUM
ap-9324	357	1	k̂2(t	k̂2(t	PROPN
ap-9324	357	2	,	,	PUNCT
ap-9324	357	3	s)x̂(s	s)x̂(s	ADP
ap-9324	357	4	−	−	PROPN
ap-9324	357	5	τ)ds	τ)ds	PROPN
ap-9324	357	6	)	)	PUNCT
ap-9324	358	1	+	+	CCONJ
ap-9324	359	1	(	(	PUNCT
ap-9324	359	2	∫	∫	PROPN
ap-9324	359	3	t	t	PROPN
ap-9324	359	4	0	0	NUM
ap-9324	359	5	k3(t	k3(t	ADJ
ap-9324	359	6	,	,	PUNCT
ap-9324	359	7	s)x(s	s)x(s	NOUN
ap-9324	359	8	−	−	PROPN
ap-9324	359	9	τ	τ	NOUN
ap-9324	359	10	)	)	PUNCT
ap-9324	359	11	−	−	PROPN
ap-9324	360	1	∫	∫	PROPN
ap-9324	360	2	t	t	PROPN
ap-9324	360	3	0	0	NUM
ap-9324	360	4	k̂3(t	k̂3(t	ADJ
ap-9324	360	5	,	,	PUNCT
ap-9324	360	6	s)x̂(s	s)x̂(s	ADP
ap-9324	360	7	−	−	PROPN
ap-9324	360	8	τ	τ	PROPN
ap-9324	360	9	)	)	PUNCT
ap-9324	360	10	)	)	PUNCT
ap-9324	360	11	db(s	db(	NOUN
ap-9324	360	12	)	)	PUNCT
ap-9324	360	13	,	,	PUNCT
ap-9324	360	14	in	in	ADP
ap-9324	360	15	addition	addition	NOUN
ap-9324	360	16	to	to	ADP
ap-9324	360	17	getting	get	VERB
ap-9324	360	18	the	the	DET
ap-9324	360	19	euclidean	euclidean	ADJ
ap-9324	360	20	norm:∥∥∥x(t	norm:∥∥∥x(t	PROPN
ap-9324	360	21	)	)	PUNCT
ap-9324	360	22	−	−	PROPN
ap-9324	360	23	x̂(t	x̂(t	NOUN
ap-9324	360	24	)	)	PUNCT
ap-9324	360	25	∥∥∥2	∥∥∥2	NOUN
ap-9324	360	26	=	=	SYM
ap-9324	360	27	||f(t	||f(t	PROPN
ap-9324	360	28	)	)	PUNCT
ap-9324	360	29	−	−	PROPN
ap-9324	360	30	f̂(t)||2	f̂(t)||2	PROPN
ap-9324	360	31	+	+	NUM
ap-9324	360	32	∥∥∥∥∫	∥∥∥∥∫	VERB
ap-9324	360	33	t	t	NOUN
ap-9324	360	34	0	0	NUM
ap-9324	361	1	k1(t	k1(t	PROPN
ap-9324	361	2	,	,	PUNCT
ap-9324	361	3	s)x(s	s)x(s	NOUN
ap-9324	361	4	−	−	PROPN
ap-9324	361	5	τ	τ	NOUN
ap-9324	361	6	)	)	PUNCT
ap-9324	362	1	−	−	PROPN
ap-9324	362	2	∫	∫	PROPN
ap-9324	362	3	t	t	PROPN
ap-9324	362	4	0	0	NUM
ap-9324	362	5	k̂1(t	k̂1(t	PROPN
ap-9324	362	6	,	,	PUNCT
ap-9324	362	7	s)x̂(s	s)x̂(s	ADP
ap-9324	362	8	−	−	PUNCT
ap-9324	362	9	τ)ds	τ)ds	PROPN
ap-9324	362	10	∥∥∥∥2	∥∥∥∥2	PROPN
ap-9324	362	11	+	+	CCONJ
ap-9324	362	12	∥∥∥∥∫	∥∥∥∥∫	ADJ
ap-9324	362	13	t	t	NOUN
ap-9324	362	14	0	0	X
ap-9324	363	1	k2(t	k2(t	PROPN
ap-9324	363	2	,	,	PUNCT
ap-9324	363	3	s)x(s	s)x(s	NOUN
ap-9324	363	4	−	−	PROPN
ap-9324	363	5	τ	τ	NOUN
ap-9324	363	6	)	)	PUNCT
ap-9324	363	7	−	−	PROPN
ap-9324	364	1	∫	∫	PROPN
ap-9324	364	2	t	t	PROPN
ap-9324	364	3	0	0	NUM
ap-9324	365	1	k̂2(t	k̂2(t	PROPN
ap-9324	365	2	,	,	PUNCT
ap-9324	365	3	s)x̂(s	s)x̂(s	ADP
ap-9324	365	4	−	−	PUNCT
ap-9324	365	5	τ)ds	τ)ds	PROPN
ap-9324	365	6	∥∥∥∥2	∥∥∥∥2	PROPN
ap-9324	365	7	+	+	CCONJ
ap-9324	366	1	∥∥∥∥∫	∥∥∥∥∫	ADJ
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ap-9324	405	2	:	:	PUNCT
ap-9324	405	3	e	e	X
ap-9324	405	4	(	(	PUNCT
ap-9324	405	5	∥∥∥x(t	∥∥∥x(t	PROPN
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ap-9324	405	8	x̂(t	x̂(t	NOUN
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ap-9324	406	2	6	6	NUM
ap-9324	406	3	.	.	PUNCT
ap-9324	406	4	numerical	numerical	ADJ
ap-9324	406	5	examples	example	NOUN
ap-9324	406	6	to	to	PART
ap-9324	406	7	illustrate	illustrate	VERB
ap-9324	406	8	the	the	DET
ap-9324	406	9	method	method	NOUN
ap-9324	406	10	stated	state	VERB
ap-9324	406	11	in	in	ADP
ap-9324	406	12	section	section	NOUN
ap-9324	406	13	5	5	NUM
ap-9324	406	14	,	,	PUNCT
ap-9324	406	15	we	we	PRON
ap-9324	406	16	consider	consider	VERB
ap-9324	406	17	the	the	DET
ap-9324	406	18	following	follow	VERB
ap-9324	406	19	examples	example	NOUN
ap-9324	406	20	.	.	PUNCT
ap-9324	407	1	the	the	DET
ap-9324	407	2	computations	computation	NOUN
ap-9324	407	3	associated	associate	VERB
ap-9324	407	4	with	with	ADP
ap-9324	407	5	the	the	DET
ap-9324	407	6	examples	example	NOUN
ap-9324	407	7	were	be	AUX
ap-9324	407	8	performed	perform	VERB
ap-9324	407	9	using	use	VERB
ap-9324	407	10	python	python	NOUN
ap-9324	407	11	3	3	NUM
ap-9324	407	12	.	.	PUNCT
ap-9324	408	1	let	let	VERB
ap-9324	408	2	xi	xi	PRON
ap-9324	408	3	denote	denote	VERB
ap-9324	408	4	the	the	DET
ap-9324	408	5	block	block	NOUN
ap-9324	408	6	pulse	pulse	NOUN
ap-9324	408	7	coefficient	coefficient	NOUN
ap-9324	408	8	of	of	ADP
ap-9324	408	9	the	the	DET
ap-9324	408	10	exact	exact	ADJ
ap-9324	408	11	solution	solution	NOUN
ap-9324	408	12	in	in	ADP
ap-9324	408	13	the	the	DET
ap-9324	408	14	given	give	VERB
ap-9324	408	15	examples	example	NOUN
ap-9324	408	16	,	,	PUNCT
ap-9324	408	17	and	and	CCONJ
ap-9324	408	18	let	let	VERB
ap-9324	408	19	yi	yi	PROPN
ap-9324	408	20	be	be	AUX
ap-9324	408	21	the	the	DET
ap-9324	408	22	block	block	NOUN
ap-9324	408	23	pulse	pulse	NOUN
ap-9324	408	24	coefficient	coefficient	NOUN
ap-9324	408	25	of	of	ADP
ap-9324	408	26	computed	compute	VERB
ap-9324	408	27	solutions	solution	NOUN
ap-9324	408	28	by	by	ADP
ap-9324	408	29	the	the	DET
ap-9324	408	30	presented	present	VERB
ap-9324	408	31	method	method	NOUN
ap-9324	408	32	.	.	PUNCT
ap-9324	409	1	we	we	PRON
ap-9324	409	2	compute	compute	VERB
ap-9324	409	3	the	the	DET
ap-9324	409	4	values	value	NOUN
ap-9324	409	5	of	of	ADP
ap-9324	409	6	approximate	approximate	ADJ
ap-9324	409	7	and	and	CCONJ
ap-9324	409	8	exact	exact	ADJ
ap-9324	409	9	solutions	solution	NOUN
ap-9324	409	10	at	at	ADP
ap-9324	409	11	selected	select	VERB
ap-9324	409	12	points	point	NOUN
ap-9324	409	13	defined	define	VERB
ap-9324	409	14	as	as	ADP
ap-9324	409	15	τ	τ	X
ap-9324	409	16	=	=	PUNCT
ap-9324	409	17	(	(	PUNCT
ap-9324	409	18	q	q	PROPN
ap-9324	410	1	+	+	CCONJ
ap-9324	410	2	λ)h	λ)h	PUNCT
ap-9324	410	3	and	and	CCONJ
ap-9324	410	4	∥e∥∞	∥e∥∞	PUNCT
ap-9324	410	5	=	=	NOUN
ap-9324	410	6	max1≤i≤m	max1≤i≤m	NOUN
ap-9324	410	7	|xi	|xi	DET
ap-9324	410	8	−	−	PUNCT
ap-9324	410	9	yi|	yi|	PROPN
ap-9324	410	10	.	.	PROPN
ap-9324	410	11	136	136	NUM
ap-9324	410	12	vol	vol	NOUN
ap-9324	410	13	.	.	PUNCT
ap-9324	410	14	64	64	NUM
ap-9324	411	1	no	no	NOUN
ap-9324	411	2	.	.	PUNCT
ap-9324	412	1	2/2024	2/2024	NUM
ap-9324	412	2	stochastic	stochastic	ADJ
ap-9324	412	3	volterra	volterra	NOUN
ap-9324	412	4	-	-	PUNCT
ap-9324	412	5	fredholm	fredholm	NOUN
ap-9324	412	6	with	with	ADP
ap-9324	412	7	delay	delay	NOUN
ap-9324	412	8	n	n	PRON
ap-9324	412	9	χ̄e	χ̄e	X
ap-9324	412	10	se	se	X
ap-9324	412	11	95	95	NUM
ap-9324	412	12	%	%	NOUN
ap-9324	412	13	confidence	confidence	NOUN
ap-9324	412	14	interval	interval	NOUN
ap-9324	412	15	for	for	ADP
ap-9324	412	16	mean	mean	NOUN
ap-9324	412	17	of	of	ADP
ap-9324	412	18	e	e	NOUN
ap-9324	412	19	lower	lower	X
ap-9324	412	20	upper	upper	ADJ
ap-9324	412	21	50	50	NUM
ap-9324	412	22	0.00382054	0.00382054	NUM
ap-9324	412	23	0.00283136	0.00283136	NUM
ap-9324	412	24	0.00330007	0.00330007	NUM
ap-9324	413	1	0.00434101	0.00434101	NUM
ap-9324	413	2	100	100	NUM
ap-9324	413	3	0.00370446	0.00370446	NUM
ap-9324	413	4	0.00263633	0.00263633	NUM
ap-9324	413	5	0.00337978	0.00337978	NUM
ap-9324	413	6	0.00402914	0.00402914	NUM
ap-9324	413	7	150	150	NUM
ap-9324	413	8	0.00371797	0.00371797	NUM
ap-9324	413	9	0.00263859	0.00263859	NUM
ap-9324	413	10	0.00345360	0.00345360	NUM
ap-9324	413	11	0.00398234	0.00398234	NUM
ap-9324	413	12	200	200	NUM
ap-9324	413	13	0.00376432	0.00376432	NUM
ap-9324	413	14	0.00271663	0.00271663	NUM
ap-9324	413	15	0.00352496	0.00352496	NUM
ap-9324	413	16	0.00400368	0.00400368	NUM
ap-9324	413	17	250	250	NUM
ap-9324	413	18	0.00377341	0.00377341	NUM
ap-9324	413	19	0.00266278	0.00266278	NUM
ap-9324	413	20	0.00356629	0.00356629	NUM
ap-9324	413	21	0.00398054	0.00398054	NUM
ap-9324	413	22	300	300	NUM
ap-9324	413	23	0.00376643	0.00376643	NUM
ap-9324	413	24	0.00253417	0.00253417	NUM
ap-9324	413	25	0.00348075	0.00348075	NUM
ap-9324	413	26	0.00495210	0.00495210	NUM
ap-9324	413	27	table	table	NOUN
ap-9324	413	28	1	1	NUM
ap-9324	413	29	.	.	PUNCT
ap-9324	414	1	mean	mean	VERB
ap-9324	414	2	,	,	PUNCT
ap-9324	414	3	standard	standard	ADJ
ap-9324	414	4	deviation	deviation	NOUN
ap-9324	414	5	,	,	PUNCT
ap-9324	414	6	and	and	CCONJ
ap-9324	414	7	mean	mean	VERB
ap-9324	414	8	confidence	confidence	NOUN
ap-9324	414	9	interval	interval	NOUN
ap-9324	414	10	for	for	ADP
ap-9324	414	11	error	error	NOUN
ap-9324	414	12	in	in	ADP
ap-9324	414	13	example	example	NOUN
ap-9324	414	14	1	1	NUM
ap-9324	414	15	with	with	ADP
ap-9324	414	16	m	m	PROPN
ap-9324	414	17	=	=	SYM
ap-9324	414	18	32	32	NUM
ap-9324	414	19	,	,	PUNCT
ap-9324	414	20	q	q	NOUN
ap-9324	414	21	=	=	SYM
ap-9324	414	22	0	0	NUM
ap-9324	414	23	,	,	PUNCT
ap-9324	414	24	λ	λ	X
ap-9324	414	25	=	=	NOUN
ap-9324	414	26	0.1	0.1	NUM
ap-9324	414	27	.	.	PUNCT
ap-9324	415	1	n	n	CCONJ
ap-9324	415	2	χ̄e	χ̄e	PROPN
ap-9324	415	3	se	se	ADJ
ap-9324	415	4	95	95	NUM
ap-9324	415	5	%	%	NOUN
ap-9324	415	6	confidence	confidence	NOUN
ap-9324	415	7	interval	interval	NOUN
ap-9324	415	8	for	for	ADP
ap-9324	415	9	mean	mean	NOUN
ap-9324	415	10	of	of	ADP
ap-9324	415	11	e	e	NOUN
ap-9324	415	12	lower	lower	X
ap-9324	415	13	upper	upper	ADJ
ap-9324	415	14	50	50	NUM
ap-9324	415	15	0.19111046	0.19111046	NUM
ap-9324	415	16	0.10332342	0.10332342	NUM
ap-9324	415	17	0.16174627	0.16174627	NUM
ap-9324	415	18	0.22047465	0.22047465	NUM
ap-9324	416	1	100	100	NUM
ap-9324	416	2	0.19936926	0.19936926	NUM
ap-9324	416	3	0.09891785	0.09891785	NUM
ap-9324	416	4	0.17974181	0.17974181	NUM
ap-9324	416	5	0.21899671	0.21899671	NUM
ap-9324	416	6	150	150	NUM
ap-9324	416	7	0.19952633	0.19952633	NUM
ap-9324	416	8	0.09352666	0.09352666	NUM
ap-9324	416	9	0.18443667	0.18443667	NUM
ap-9324	416	10	0.21461600	0.21461600	NUM
ap-9324	416	11	200	200	NUM
ap-9324	416	12	0.19786280	0.19786280	NUM
ap-9324	416	13	0.09228118	0.09228118	NUM
ap-9324	416	14	0.18499526	0.18499526	NUM
ap-9324	416	15	0.21073033	0.21073033	NUM
ap-9324	416	16	250	250	NUM
ap-9324	416	17	0.19378207	0.19378207	NUM
ap-9324	416	18	0.08840576	0.08840576	NUM
ap-9324	416	19	0.18276985	0.18276985	NUM
ap-9324	416	20	0.20479428	0.20479428	NUM
ap-9324	416	21	300	300	NUM
ap-9324	416	22	0.19387334	0.19387334	NUM
ap-9324	416	23	0.08744348	0.08744348	NUM
ap-9324	416	24	0.18393814	0.18393814	NUM
ap-9324	416	25	0.20380853	0.20380853	NUM
ap-9324	416	26	table	table	NOUN
ap-9324	416	27	2	2	NUM
ap-9324	416	28	.	.	PUNCT
ap-9324	417	1	mean	mean	VERB
ap-9324	417	2	,	,	PUNCT
ap-9324	417	3	standard	standard	ADJ
ap-9324	417	4	deviation	deviation	NOUN
ap-9324	417	5	,	,	PUNCT
ap-9324	417	6	and	and	CCONJ
ap-9324	417	7	mean	mean	VERB
ap-9324	417	8	confidence	confidence	NOUN
ap-9324	417	9	interval	interval	NOUN
ap-9324	417	10	for	for	ADP
ap-9324	417	11	error	error	NOUN
ap-9324	417	12	in	in	ADP
ap-9324	417	13	example	example	NOUN
ap-9324	417	14	1	1	NUM
ap-9324	417	15	with	with	ADP
ap-9324	417	16	m	m	PROPN
ap-9324	417	17	=	=	SYM
ap-9324	417	18	64	64	NUM
ap-9324	417	19	,	,	PUNCT
ap-9324	417	20	q	q	NOUN
ap-9324	417	21	=	=	SYM
ap-9324	417	22	0	0	NUM
ap-9324	417	23	,	,	PUNCT
ap-9324	417	24	λ	λ	X
ap-9324	417	25	=	=	NOUN
ap-9324	417	26	0.1	0.1	NUM
ap-9324	417	27	.	.	PUNCT
ap-9324	418	1	figure	figure	NOUN
ap-9324	418	2	1	1	NUM
ap-9324	418	3	.	.	PUNCT
ap-9324	419	1	the	the	DET
ap-9324	419	2	trajectory	trajectory	NOUN
ap-9324	419	3	of	of	ADP
ap-9324	419	4	the	the	DET
ap-9324	419	5	approximate	approximate	ADJ
ap-9324	419	6	solution	solution	NOUN
ap-9324	419	7	and	and	CCONJ
ap-9324	419	8	exact	exact	ADJ
ap-9324	419	9	solution	solution	NOUN
ap-9324	419	10	of	of	ADP
ap-9324	419	11	example	example	NOUN
ap-9324	419	12	1	1	NUM
ap-9324	419	13	for	for	ADP
ap-9324	419	14	m	m	PROPN
ap-9324	419	15	=	=	SYM
ap-9324	419	16	32	32	NUM
ap-9324	419	17	,	,	PUNCT
ap-9324	419	18	m	m	VERB
ap-9324	419	19	=	=	NOUN
ap-9324	419	20	64	64	NUM
ap-9324	419	21	,	,	PUNCT
ap-9324	419	22	n	n	NOUN
ap-9324	419	23	=	=	SYM
ap-9324	419	24	50	50	NUM
ap-9324	419	25	,	,	PUNCT
ap-9324	419	26	q	q	NOUN
ap-9324	419	27	=	=	SYM
ap-9324	419	28	0	0	NUM
ap-9324	419	29	,	,	PUNCT
ap-9324	419	30	λ	λ	X
ap-9324	419	31	=	=	NOUN
ap-9324	419	32	0.5	0.5	NUM
ap-9324	419	33	.	.	PUNCT
ap-9324	419	34	example	example	NOUN
ap-9324	420	1	1	1	NUM
ap-9324	420	2	[	[	X
ap-9324	420	3	16	16	NUM
ap-9324	420	4	]	]	PUNCT
ap-9324	420	5	.	.	PUNCT
ap-9324	421	1	consider	consider	VERB
ap-9324	421	2	the	the	DET
ap-9324	421	3	following	follow	VERB
ap-9324	421	4	stochastic	stochastic	ADJ
ap-9324	421	5	volterra	volterra	NOUN
ap-9324	421	6	integral	integral	ADJ
ap-9324	421	7	equation	equation	NOUN
ap-9324	421	8	with	with	ADP
ap-9324	421	9	(	(	PUNCT
ap-9324	421	10	constant	constant	ADJ
ap-9324	421	11	)	)	PUNCT
ap-9324	421	12	time	time	NOUN
ap-9324	421	13	delay	delay	NOUN
ap-9324	421	14	τ	τ	PROPN
ap-9324	421	15	>	>	X
ap-9324	421	16	0	0	NUM
ap-9324	421	17	:	:	PUNCT
ap-9324	421	18	x(t	x(t	PROPN
ap-9324	421	19	)	)	PUNCT
ap-9324	422	1	=	=	SYM
ap-9324	422	2	−	−	PROPN
ap-9324	422	3	t4	t4	PROPN
ap-9324	422	4	12	12	NUM
ap-9324	423	1	+	+	CCONJ
ap-9324	423	2	t3	t3	PROPN
ap-9324	423	3	3	3	NUM
ap-9324	423	4	τ	τ	X
ap-9324	423	5	+	+	CCONJ
ap-9324	423	6	(	(	PUNCT
ap-9324	423	7	1	1	NUM
ap-9324	423	8	−	−	NOUN
ap-9324	423	9	τ2	τ2	NOUN
ap-9324	423	10	2	2	NUM
ap-9324	423	11	)	)	PUNCT
ap-9324	423	12	t2	t2	NOUN
ap-9324	423	13	+	+	CCONJ
ap-9324	423	14	∫	∫	PROPN
ap-9324	423	15	t	t	PROPN
ap-9324	423	16	0	0	NUM
ap-9324	423	17	(	(	PUNCT
ap-9324	423	18	t	t	NOUN
ap-9324	423	19	−	−	PROPN
ap-9324	423	20	s)x(s	s)x(s	NOUN
ap-9324	424	1	−	−	PROPN
ap-9324	425	1	τ)ds	τ)ds	PROPN
ap-9324	425	2	,	,	PUNCT
ap-9324	425	3	(	(	PUNCT
ap-9324	425	4	39	39	NUM
ap-9324	425	5	)	)	PUNCT
ap-9324	425	6	where	where	SCONJ
ap-9324	425	7	s	s	X
ap-9324	425	8	,	,	PUNCT
ap-9324	425	9	t	t	PROPN
ap-9324	425	10	∈	∈	PROPN
ap-9324	426	1	[	[	X
ap-9324	426	2	0	0	NUM
ap-9324	426	3	,	,	PUNCT
ap-9324	426	4	t	t	X
ap-9324	426	5	]	]	PUNCT
ap-9324	426	6	,	,	PUNCT
ap-9324	426	7	τ	τ	PROPN
ap-9324	426	8	∈	∈	PROPN
ap-9324	426	9	(	(	PUNCT
ap-9324	426	10	0	0	NUM
ap-9324	426	11	,	,	PUNCT
ap-9324	426	12	t	t	PROPN
ap-9324	426	13	)	)	PUNCT
ap-9324	426	14	;	;	PUNCT
ap-9324	426	15	with	with	ADP
ap-9324	426	16	the	the	DET
ap-9324	426	17	exact	exact	ADJ
ap-9324	426	18	solution	solution	NOUN
ap-9324	426	19	x(t	x(t	PROPN
ap-9324	426	20	)	)	PUNCT
ap-9324	426	21	=	=	SYM
ap-9324	426	22	t2	t2	NOUN
ap-9324	426	23	,	,	PUNCT
ap-9324	426	24	for	for	ADP
ap-9324	426	25	0	0	NUM
ap-9324	426	26	≤	≤	NUM
ap-9324	426	27	t	t	PROPN
ap-9324	426	28	≤	≤	PROPN
ap-9324	426	29	t	t	PROPN
ap-9324	426	30	.	.	PUNCT
ap-9324	427	1	in	in	ADP
ap-9324	427	2	tables	table	NOUN
ap-9324	427	3	1–2	1–2	NUM
ap-9324	427	4	,	,	PUNCT
ap-9324	427	5	the	the	DET
ap-9324	427	6	numerical	numerical	ADJ
ap-9324	427	7	results	result	NOUN
ap-9324	427	8	are	be	AUX
ap-9324	427	9	presented	present	VERB
ap-9324	427	10	.	.	PUNCT
ap-9324	428	1	the	the	DET
ap-9324	428	2	computations	computation	NOUN
ap-9324	428	3	of	of	ADP
ap-9324	428	4	mean	mean	ADJ
ap-9324	428	5	,	,	PUNCT
ap-9324	428	6	standard	standard	ADJ
ap-9324	428	7	deviation	deviation	NOUN
ap-9324	428	8	,	,	PUNCT
ap-9324	428	9	and	and	CCONJ
ap-9324	428	10	mean	mean	VERB
ap-9324	428	11	confidence	confidence	NOUN
ap-9324	428	12	interval	interval	NOUN
ap-9324	428	13	of	of	ADP
ap-9324	428	14	error	error	NOUN
ap-9324	428	15	for	for	ADP
ap-9324	428	16	n	n	CCONJ
ap-9324	428	17	,	,	PUNCT
ap-9324	428	18	χ̄e	χ̄e	PROPN
ap-9324	428	19	,	,	PUNCT
ap-9324	428	20	and	and	CCONJ
ap-9324	428	21	se	se	X
ap-9324	428	22	are	be	AUX
ap-9324	428	23	provided	provide	VERB
ap-9324	428	24	in	in	ADP
ap-9324	428	25	tables	table	NOUN
ap-9324	428	26	1–2	1–2	NUM
ap-9324	428	27	.	.	PUNCT
ap-9324	429	1	an	an	DET
ap-9324	429	2	approximate	approximate	ADJ
ap-9324	429	3	solution	solution	NOUN
ap-9324	429	4	is	be	AUX
ap-9324	429	5	depicted	depict	VERB
ap-9324	429	6	in	in	ADP
ap-9324	429	7	figure	figure	NOUN
ap-9324	429	8	1	1	NUM
ap-9324	429	9	as	as	ADP
ap-9324	429	10	a	a	DET
ap-9324	429	11	trajectory	trajectory	NOUN
ap-9324	429	12	based	base	VERB
ap-9324	429	13	on	on	ADP
ap-9324	429	14	the	the	DET
ap-9324	429	15	presented	present	VERB
ap-9324	429	16	approach	approach	NOUN
ap-9324	429	17	.	.	PUNCT
ap-9324	430	1	the	the	DET
ap-9324	430	2	variation	variation	NOUN
ap-9324	430	3	process	process	NOUN
ap-9324	430	4	of	of	ADP
ap-9324	430	5	error	error	NOUN
ap-9324	430	6	is	be	AUX
ap-9324	430	7	represented	represent	VERB
ap-9324	430	8	by	by	ADP
ap-9324	430	9	curves	curve	NOUN
ap-9324	430	10	in	in	ADP
ap-9324	430	11	figure	figure	NOUN
ap-9324	430	12	2	2	NUM
ap-9324	430	13	.	.	PUNCT
ap-9324	431	1	we	we	PRON
ap-9324	431	2	observe	observe	VERB
ap-9324	431	3	a	a	DET
ap-9324	431	4	perfect	perfect	ADJ
ap-9324	431	5	agreement	agreement	NOUN
ap-9324	431	6	between	between	ADP
ap-9324	431	7	the	the	DET
ap-9324	431	8	exact	exact	ADJ
ap-9324	431	9	solution	solution	NOUN
ap-9324	431	10	and	and	CCONJ
ap-9324	431	11	the	the	DET
ap-9324	431	12	numerical	numerical	ADJ
ap-9324	431	13	results	result	NOUN
ap-9324	431	14	,	,	PUNCT
ap-9324	431	15	achieving	achieve	VERB
ap-9324	431	16	full	full	ADJ
ap-9324	431	17	convergence	convergence	NOUN
ap-9324	431	18	.	.	PUNCT
ap-9324	432	1	example	example	NOUN
ap-9324	432	2	2	2	NUM
ap-9324	433	1	[	[	X
ap-9324	433	2	16	16	NUM
ap-9324	433	3	]	]	PUNCT
ap-9324	433	4	.	.	PUNCT
ap-9324	434	1	consider	consider	VERB
ap-9324	434	2	the	the	DET
ap-9324	434	3	following	follow	VERB
ap-9324	434	4	fredholm	fredholm	ADJ
ap-9324	434	5	integral	integral	ADJ
ap-9324	434	6	equation	equation	NOUN
ap-9324	434	7	with	with	ADP
ap-9324	434	8	(	(	PUNCT
ap-9324	434	9	constant	constant	ADJ
ap-9324	434	10	)	)	PUNCT
ap-9324	434	11	time	time	NOUN
ap-9324	434	12	delay	delay	NOUN
ap-9324	434	13	τ	τ	PROPN
ap-9324	434	14	>	>	X
ap-9324	434	15	0	0	NUM
ap-9324	434	16	:	:	PUNCT
ap-9324	434	17	x(t	x(t	X
ap-9324	434	18	)	)	PUNCT
ap-9324	434	19	=	=	SYM
ap-9324	434	20	t(t	t(t	NOUN
ap-9324	434	21	cos(t	cos(t	ADP
ap-9324	434	22	−	−	PROPN
ap-9324	434	23	τ	τ	PROPN
ap-9324	434	24	)	)	PUNCT
ap-9324	435	1	−	−	PROPN
ap-9324	436	1	sin(t	sin(t	PROPN
ap-9324	436	2	−	−	PROPN
ap-9324	436	3	τ	τ	PROPN
ap-9324	436	4	)	)	PUNCT
ap-9324	437	1	−	−	PROPN
ap-9324	437	2	sin(τ	sin(τ	PROPN
ap-9324	437	3	)	)	PUNCT
ap-9324	437	4	)	)	PUNCT
ap-9324	438	1	+	+	NUM
ap-9324	438	2	sin(t	sin(t	X
ap-9324	438	3	)	)	PUNCT
ap-9324	439	1	+	+	NUM
ap-9324	439	2	∫	∫	PROPN
ap-9324	439	3	t	t	PROPN
ap-9324	439	4	0	0	NUM
ap-9324	440	1	(	(	PUNCT
ap-9324	440	2	ts)x(s	ts)x(s	PROPN
ap-9324	440	3	−	−	PROPN
ap-9324	441	1	τ)ds	τ)ds	PROPN
ap-9324	441	2	,	,	PUNCT
ap-9324	441	3	(	(	PUNCT
ap-9324	441	4	40	40	NUM
ap-9324	441	5	)	)	PUNCT
ap-9324	441	6	where	where	SCONJ
ap-9324	441	7	s	s	X
ap-9324	441	8	,	,	PUNCT
ap-9324	441	9	t	t	PROPN
ap-9324	441	10	∈	∈	PROPN
ap-9324	442	1	[	[	X
ap-9324	442	2	0	0	NUM
ap-9324	442	3	,	,	PUNCT
ap-9324	442	4	t	t	X
ap-9324	442	5	]	]	PUNCT
ap-9324	442	6	,	,	PUNCT
ap-9324	442	7	τ	τ	PROPN
ap-9324	442	8	∈	∈	PROPN
ap-9324	442	9	(	(	PUNCT
ap-9324	442	10	0	0	NUM
ap-9324	442	11	,	,	PUNCT
ap-9324	442	12	t	t	PROPN
ap-9324	442	13	)	)	PUNCT
ap-9324	442	14	;	;	PUNCT
ap-9324	442	15	with	with	ADP
ap-9324	442	16	the	the	DET
ap-9324	442	17	exact	exact	ADJ
ap-9324	442	18	solution	solution	NOUN
ap-9324	442	19	x(t	x(t	PROPN
ap-9324	442	20	)	)	PUNCT
ap-9324	442	21	=	=	SYM
ap-9324	442	22	sin(t	sin(t	PROPN
ap-9324	442	23	)	)	PUNCT
ap-9324	442	24	,	,	PUNCT
ap-9324	442	25	for	for	ADP
ap-9324	442	26	0	0	NUM
ap-9324	442	27	≤	≤	NUM
ap-9324	442	28	t	t	PROPN
ap-9324	442	29	≤	≤	PROPN
ap-9324	442	30	t	t	PROPN
ap-9324	442	31	.	.	PUNCT
ap-9324	443	1	the	the	DET
ap-9324	443	2	numerical	numerical	ADJ
ap-9324	443	3	results	result	NOUN
ap-9324	443	4	are	be	AUX
ap-9324	443	5	presented	present	VERB
ap-9324	443	6	in	in	ADP
ap-9324	443	7	table	table	NOUN
ap-9324	443	8	3	3	NUM
ap-9324	443	9	.	.	PUNCT
ap-9324	444	1	the	the	DET
ap-9324	444	2	trajectory	trajectory	NOUN
ap-9324	444	3	of	of	ADP
ap-9324	444	4	the	the	DET
ap-9324	444	5	approximate	approximate	ADJ
ap-9324	444	6	solution	solution	NOUN
ap-9324	444	7	and	and	CCONJ
ap-9324	444	8	exact	exact	ADJ
ap-9324	444	9	solution	solution	NOUN
ap-9324	444	10	are	be	AUX
ap-9324	444	11	represented	represent	VERB
ap-9324	444	12	in	in	ADP
ap-9324	444	13	figures	figure	NOUN
ap-9324	444	14	3–7	3–7	NUM
ap-9324	444	15	.	.	PUNCT
ap-9324	445	1	137	137	NUM
ap-9324	445	2	e.	e.	PROPN
ap-9324	445	3	y.	y.	PROPN
ap-9324	445	4	kutorzi	kutorzi	PROPN
ap-9324	445	5	,	,	PUNCT
ap-9324	445	6	y.	y.	PROPN
ap-9324	445	7	zhang	zhang	PROPN
ap-9324	445	8	,	,	PUNCT
ap-9324	445	9	y.	y.	PROPN
ap-9324	445	10	shi	shi	PROPN
ap-9324	445	11	acta	acta	PROPN
ap-9324	445	12	polytechnica	polytechnica	PROPN
ap-9324	445	13	figure	figure	NOUN
ap-9324	445	14	2	2	NUM
ap-9324	445	15	.	.	PUNCT
ap-9324	445	16	variation	variation	NOUN
ap-9324	445	17	trend	trend	NOUN
ap-9324	445	18	of	of	ADP
ap-9324	445	19	error	error	NOUN
ap-9324	445	20	in	in	ADP
ap-9324	445	21	example	example	NOUN
ap-9324	445	22	1	1	NUM
ap-9324	445	23	for	for	ADP
ap-9324	445	24	m	m	PROPN
ap-9324	445	25	=	=	SYM
ap-9324	445	26	32	32	NUM
ap-9324	445	27	,	,	PUNCT
ap-9324	445	28	n	n	NOUN
ap-9324	445	29	=	=	SYM
ap-9324	445	30	50	50	NUM
ap-9324	445	31	,	,	PUNCT
ap-9324	445	32	n	n	NOUN
ap-9324	445	33	=	=	SYM
ap-9324	445	34	100	100	NUM
ap-9324	445	35	,	,	PUNCT
ap-9324	445	36	q	q	NOUN
ap-9324	445	37	=	=	SYM
ap-9324	445	38	0	0	NUM
ap-9324	445	39	,	,	PUNCT
ap-9324	445	40	λ	λ	X
ap-9324	445	41	=	=	NOUN
ap-9324	445	42	0.5	0.5	NUM
ap-9324	445	43	.	.	PUNCT
ap-9324	446	1	λ	λ	X
ap-9324	446	2	=	=	NOUN
ap-9324	446	3	0.1	0.1	NUM
ap-9324	446	4	λ	λ	NOUN
ap-9324	446	5	=	=	SYM
ap-9324	446	6	0.3	0.3	NUM
ap-9324	446	7	λ	λ	NOUN
ap-9324	446	8	=	=	SYM
ap-9324	446	9	0.5	0.5	NUM
ap-9324	446	10	λ	λ	NOUN
ap-9324	446	11	=	=	NOUN
ap-9324	446	12	0.7	0.7	NUM
ap-9324	446	13	λ	λ	NOUN
ap-9324	446	14	=	=	NOUN
ap-9324	446	15	0.9	0.9	NUM
ap-9324	446	16	m	m	NOUN
ap-9324	446	17	=	=	NOUN
ap-9324	446	18	8	8	NUM
ap-9324	446	19	0.007788	0.007788	NUM
ap-9324	446	20	0.007251	0.007251	NUM
ap-9324	446	21	0.006711	0.006711	NUM
ap-9324	446	22	0.00727	0.00727	NUM
ap-9324	446	23	0.008367	0.008367	NUM
ap-9324	446	24	m	m	NOUN
ap-9324	446	25	=	=	NUM
ap-9324	446	26	32	32	NUM
ap-9324	446	27	0.015303	0.015303	NUM
ap-9324	447	1	0.015683	0.015683	NUM
ap-9324	447	2	0.016064	0.016064	NUM
ap-9324	447	3	0.016446	0.016446	NUM
ap-9324	447	4	0.016827	0.016827	NUM
ap-9324	447	5	m	m	NOUN
ap-9324	447	6	=	=	NOUN
ap-9324	447	7	64	64	NUM
ap-9324	448	1	0.017717	0.017717	NUM
ap-9324	448	2	0.017918	0.017918	NUM
ap-9324	448	3	0.01812	0.01812	NUM
ap-9324	448	4	0.018321	0.018321	NUM
ap-9324	448	5	0.018523	0.018523	NUM
ap-9324	448	6	table	table	NOUN
ap-9324	448	7	3	3	NUM
ap-9324	448	8	.	.	X
ap-9324	448	9	error	error	NOUN
ap-9324	448	10	in	in	ADP
ap-9324	448	11	example	example	NOUN
ap-9324	448	12	2	2	NUM
ap-9324	448	13	with	with	ADP
ap-9324	448	14	q	q	NOUN
ap-9324	448	15	=	=	SYM
ap-9324	448	16	0	0	X
ap-9324	448	17	.	.	PUNCT
ap-9324	448	18	figure	figure	NOUN
ap-9324	448	19	3	3	NUM
ap-9324	448	20	.	.	PUNCT
ap-9324	449	1	the	the	DET
ap-9324	449	2	trajectory	trajectory	NOUN
ap-9324	449	3	of	of	ADP
ap-9324	449	4	the	the	DET
ap-9324	449	5	approximate	approximate	ADJ
ap-9324	449	6	solution	solution	NOUN
ap-9324	449	7	and	and	CCONJ
ap-9324	449	8	exact	exact	ADJ
ap-9324	449	9	solution	solution	NOUN
ap-9324	449	10	of	of	ADP
ap-9324	449	11	example	example	NOUN
ap-9324	449	12	2	2	NUM
ap-9324	449	13	for	for	ADP
ap-9324	449	14	m	m	PROPN
ap-9324	449	15	=	=	SYM
ap-9324	449	16	32	32	NUM
ap-9324	449	17	,	,	PUNCT
ap-9324	449	18	m	m	VERB
ap-9324	449	19	=	=	NOUN
ap-9324	449	20	64	64	NUM
ap-9324	449	21	,	,	PUNCT
ap-9324	449	22	n	n	NOUN
ap-9324	449	23	=	=	SYM
ap-9324	449	24	50	50	NUM
ap-9324	449	25	,	,	PUNCT
ap-9324	449	26	q	q	NOUN
ap-9324	449	27	=	=	SYM
ap-9324	449	28	0	0	NUM
ap-9324	449	29	,	,	PUNCT
ap-9324	449	30	λ	λ	X
ap-9324	449	31	=	=	NOUN
ap-9324	449	32	0.1	0.1	NUM
ap-9324	449	33	.	.	PUNCT
ap-9324	449	34	figure	figure	NOUN
ap-9324	449	35	4	4	NUM
ap-9324	449	36	.	.	PUNCT
ap-9324	450	1	the	the	DET
ap-9324	450	2	trajectory	trajectory	NOUN
ap-9324	450	3	of	of	ADP
ap-9324	450	4	the	the	DET
ap-9324	450	5	approximate	approximate	ADJ
ap-9324	450	6	solution	solution	NOUN
ap-9324	450	7	and	and	CCONJ
ap-9324	450	8	exact	exact	ADJ
ap-9324	450	9	solution	solution	NOUN
ap-9324	450	10	of	of	ADP
ap-9324	450	11	example	example	NOUN
ap-9324	450	12	2	2	NUM
ap-9324	450	13	for	for	ADP
ap-9324	450	14	m	m	PROPN
ap-9324	450	15	=	=	SYM
ap-9324	450	16	32	32	NUM
ap-9324	450	17	,	,	PUNCT
ap-9324	450	18	m	m	VERB
ap-9324	450	19	=	=	NOUN
ap-9324	450	20	64	64	NUM
ap-9324	450	21	,	,	PUNCT
ap-9324	450	22	n	n	NOUN
ap-9324	450	23	=	=	SYM
ap-9324	450	24	50	50	NUM
ap-9324	450	25	,	,	PUNCT
ap-9324	450	26	q	q	NOUN
ap-9324	450	27	=	=	SYM
ap-9324	450	28	0	0	NUM
ap-9324	450	29	,	,	PUNCT
ap-9324	450	30	λ	λ	X
ap-9324	450	31	=	=	NOUN
ap-9324	450	32	0.3	0.3	NUM
ap-9324	450	33	.	.	PUNCT
ap-9324	450	34	138	138	NUM
ap-9324	450	35	vol	vol	NOUN
ap-9324	450	36	.	.	PROPN
ap-9324	451	1	64	64	NUM
ap-9324	451	2	no	no	NOUN
ap-9324	451	3	.	.	PUNCT
ap-9324	452	1	2/2024	2/2024	NUM
ap-9324	452	2	stochastic	stochastic	ADJ
ap-9324	452	3	volterra	volterra	NOUN
ap-9324	452	4	-	-	PUNCT
ap-9324	452	5	fredholm	fredholm	NOUN
ap-9324	452	6	with	with	ADP
ap-9324	452	7	delay	delay	NOUN
ap-9324	452	8	figure	figure	NOUN
ap-9324	452	9	5	5	NUM
ap-9324	452	10	.	.	PUNCT
ap-9324	453	1	the	the	DET
ap-9324	453	2	trajectory	trajectory	NOUN
ap-9324	453	3	of	of	ADP
ap-9324	453	4	the	the	DET
ap-9324	453	5	approximate	approximate	ADJ
ap-9324	453	6	solution	solution	NOUN
ap-9324	453	7	and	and	CCONJ
ap-9324	453	8	exact	exact	ADJ
ap-9324	453	9	solution	solution	NOUN
ap-9324	453	10	of	of	ADP
ap-9324	453	11	example	example	NOUN
ap-9324	453	12	2	2	NUM
ap-9324	453	13	for	for	ADP
ap-9324	453	14	m	m	PROPN
ap-9324	453	15	=	=	SYM
ap-9324	453	16	32	32	NUM
ap-9324	453	17	,	,	PUNCT
ap-9324	453	18	m	m	VERB
ap-9324	453	19	=	=	NOUN
ap-9324	453	20	64	64	NUM
ap-9324	453	21	,	,	PUNCT
ap-9324	453	22	n	n	NOUN
ap-9324	453	23	=	=	SYM
ap-9324	453	24	50	50	NUM
ap-9324	453	25	,	,	PUNCT
ap-9324	453	26	q	q	NOUN
ap-9324	453	27	=	=	SYM
ap-9324	453	28	0	0	NUM
ap-9324	453	29	,	,	PUNCT
ap-9324	453	30	λ	λ	X
ap-9324	453	31	=	=	NOUN
ap-9324	453	32	0.5	0.5	NUM
ap-9324	453	33	.	.	PUNCT
ap-9324	453	34	figure	figure	NOUN
ap-9324	453	35	6	6	NUM
ap-9324	453	36	.	.	PUNCT
ap-9324	454	1	the	the	DET
ap-9324	454	2	trajectory	trajectory	NOUN
ap-9324	454	3	of	of	ADP
ap-9324	454	4	the	the	DET
ap-9324	454	5	approximate	approximate	ADJ
ap-9324	454	6	solution	solution	NOUN
ap-9324	454	7	and	and	CCONJ
ap-9324	454	8	exact	exact	ADJ
ap-9324	454	9	solution	solution	NOUN
ap-9324	454	10	of	of	ADP
ap-9324	454	11	example	example	NOUN
ap-9324	454	12	2	2	NUM
ap-9324	454	13	for	for	ADP
ap-9324	454	14	m	m	PROPN
ap-9324	454	15	=	=	SYM
ap-9324	454	16	32	32	NUM
ap-9324	454	17	,	,	PUNCT
ap-9324	454	18	m	m	VERB
ap-9324	454	19	=	=	NOUN
ap-9324	454	20	64	64	NUM
ap-9324	454	21	,	,	PUNCT
ap-9324	454	22	n	n	NOUN
ap-9324	454	23	=	=	SYM
ap-9324	454	24	50	50	NUM
ap-9324	454	25	,	,	PUNCT
ap-9324	454	26	q	q	NOUN
ap-9324	454	27	=	=	SYM
ap-9324	454	28	0	0	NUM
ap-9324	454	29	,	,	PUNCT
ap-9324	454	30	λ	λ	X
ap-9324	454	31	=	=	NOUN
ap-9324	454	32	0.7	0.7	NUM
ap-9324	454	33	.	.	PUNCT
ap-9324	454	34	figure	figure	NOUN
ap-9324	454	35	7	7	NUM
ap-9324	454	36	.	.	PUNCT
ap-9324	455	1	the	the	DET
ap-9324	455	2	trajectory	trajectory	NOUN
ap-9324	455	3	of	of	ADP
ap-9324	455	4	the	the	DET
ap-9324	455	5	approximate	approximate	ADJ
ap-9324	455	6	solution	solution	NOUN
ap-9324	455	7	and	and	CCONJ
ap-9324	455	8	exact	exact	ADJ
ap-9324	455	9	solution	solution	NOUN
ap-9324	455	10	of	of	ADP
ap-9324	455	11	example	example	NOUN
ap-9324	455	12	2	2	NUM
ap-9324	455	13	for	for	ADP
ap-9324	455	14	m	m	PROPN
ap-9324	455	15	=	=	SYM
ap-9324	455	16	32	32	NUM
ap-9324	455	17	,	,	PUNCT
ap-9324	455	18	m	m	VERB
ap-9324	455	19	=	=	NOUN
ap-9324	455	20	64	64	NUM
ap-9324	455	21	,	,	PUNCT
ap-9324	455	22	n	n	NOUN
ap-9324	455	23	=	=	SYM
ap-9324	455	24	50	50	NUM
ap-9324	455	25	,	,	PUNCT
ap-9324	455	26	q	q	NOUN
ap-9324	455	27	=	=	SYM
ap-9324	455	28	0	0	NUM
ap-9324	455	29	,	,	PUNCT
ap-9324	455	30	λ	λ	X
ap-9324	455	31	=	=	NOUN
ap-9324	455	32	0.9	0.9	NUM
ap-9324	455	33	.	.	PUNCT
ap-9324	455	34	example	example	NOUN
ap-9324	456	1	3	3	NUM
ap-9324	456	2	[	[	X
ap-9324	456	3	28	28	NUM
ap-9324	456	4	]	]	PUNCT
ap-9324	456	5	.	.	PUNCT
ap-9324	457	1	consider	consider	VERB
ap-9324	457	2	the	the	DET
ap-9324	457	3	stochastic	stochastic	ADJ
ap-9324	457	4	volterra	volterra	NOUN
ap-9324	457	5	fredholm	fredholm	VERB
ap-9324	457	6	integral	integral	ADJ
ap-9324	457	7	equation	equation	NOUN
ap-9324	457	8	with	with	ADP
ap-9324	457	9	time	time	NOUN
ap-9324	457	10	delay	delay	NOUN
ap-9324	457	11	τ	τ	PROPN
ap-9324	457	12	>	>	X
ap-9324	457	13	0	0	NUM
ap-9324	457	14	:	:	PUNCT
ap-9324	457	15	x(t	x(t	PROPN
ap-9324	457	16	)	)	PUNCT
ap-9324	457	17	=	=	PUNCT
ap-9324	458	1	−5τ	−5τ	PROPN
ap-9324	458	2	−	−	PROPN
ap-9324	458	3	t	t	NOUN
ap-9324	458	4	+	+	CCONJ
ap-9324	459	1	12t2	12t2	NUM
ap-9324	459	2	−	−	PROPN
ap-9324	459	3	t3	t3	PROPN
ap-9324	459	4	−	−	PROPN
ap-9324	459	5	t4τ	t4τ	PROPN
ap-9324	460	1	+	+	CCONJ
ap-9324	460	2	∫	∫	PROPN
ap-9324	460	3	t	t	PROPN
ap-9324	460	4	0	0	NUM
ap-9324	460	5	(	(	PUNCT
ap-9324	460	6	t	t	NOUN
ap-9324	460	7	−	−	PROPN
ap-9324	460	8	s)x(s	s)x(s	NOUN
ap-9324	460	9	−	−	PROPN
ap-9324	461	1	τ)ds	τ)ds	PROPN
ap-9324	461	2	+	+	NUM
ap-9324	461	3	∫	∫	PROPN
ap-9324	461	4	1	1	NUM
ap-9324	461	5	0	0	NUM
ap-9324	461	6	(	(	PUNCT
ap-9324	461	7	t	t	NOUN
ap-9324	461	8	+	+	NUM
ap-9324	461	9	s)x(s	s)x(s	NOUN
ap-9324	461	10	−	−	PROPN
ap-9324	462	1	τ)ds	τ)ds	PROPN
ap-9324	462	2	+	+	NUM
ap-9324	462	3	∫	∫	PROPN
ap-9324	462	4	t	t	PROPN
ap-9324	462	5	0	0	NUM
ap-9324	462	6	sx(s	sx(s	PROPN
ap-9324	462	7	−	−	ADP
ap-9324	462	8	τ)db(s	τ)db(	NOUN
ap-9324	462	9	)	)	PUNCT
ap-9324	462	10	,	,	PUNCT
ap-9324	462	11	(	(	PUNCT
ap-9324	462	12	41	41	NUM
ap-9324	462	13	)	)	PUNCT
ap-9324	462	14	where	where	SCONJ
ap-9324	462	15	s	s	X
ap-9324	462	16	,	,	PUNCT
ap-9324	462	17	t	t	PROPN
ap-9324	462	18	∈	∈	PROPN
ap-9324	463	1	[	[	X
ap-9324	463	2	0	0	NUM
ap-9324	463	3	,	,	PUNCT
ap-9324	463	4	t	t	X
ap-9324	463	5	]	]	PUNCT
ap-9324	463	6	,	,	PUNCT
ap-9324	463	7	τ	τ	PROPN
ap-9324	463	8	∈	∈	PROPN
ap-9324	463	9	(	(	PUNCT
ap-9324	463	10	0	0	NUM
ap-9324	463	11	,	,	PUNCT
ap-9324	463	12	t	t	PROPN
ap-9324	463	13	)	)	PUNCT
ap-9324	463	14	;	;	PUNCT
ap-9324	463	15	with	with	ADP
ap-9324	463	16	the	the	DET
ap-9324	463	17	exact	exact	ADJ
ap-9324	463	18	solution	solution	NOUN
ap-9324	463	19	x(t	x(t	PROPN
ap-9324	463	20	)	)	PUNCT
ap-9324	463	21	=	=	SYM
ap-9324	463	22	exp	exp	NOUN
ap-9324	463	23	(	(	PUNCT
ap-9324	463	24	(	(	PUNCT
ap-9324	463	25	6	6	NUM
ap-9324	463	26	t	t	NOUN
ap-9324	463	27	+	+	CCONJ
ap-9324	463	28	12t2)/2	12t2)/2	NUM
ap-9324	463	29	+	+	CCONJ
ap-9324	463	30	∫	∫	PROPN
ap-9324	463	31	t	t	PROPN
ap-9324	463	32	0	0	NUM
ap-9324	463	33	sdb(s	sdb(	NOUN
ap-9324	463	34	)	)	PUNCT
ap-9324	463	35	)	)	PUNCT
ap-9324	463	36	,	,	PUNCT
ap-9324	463	37	{	{	PUNCT
ap-9324	463	38	b(t	b(t	PROPN
ap-9324	463	39	)	)	PUNCT
ap-9324	463	40	:	:	PUNCT
ap-9324	463	41	0	0	NUM
ap-9324	463	42	≤	≤	NUM
ap-9324	463	43	t	t	PROPN
ap-9324	463	44	≤	≤	PROPN
ap-9324	463	45	t	t	PROPN
ap-9324	463	46	}	}	PUNCT
ap-9324	463	47	is	be	AUX
ap-9324	463	48	a	a	DET
ap-9324	463	49	brownian	brownian	ADJ
ap-9324	463	50	motion	motion	NOUN
ap-9324	463	51	process	process	NOUN
ap-9324	463	52	,	,	PUNCT
ap-9324	463	53	and	and	CCONJ
ap-9324	463	54	x(t	x(t	PROPN
ap-9324	463	55	)	)	PUNCT
ap-9324	463	56	is	be	AUX
ap-9324	463	57	an	an	DET
ap-9324	463	58	unknown	unknown	ADJ
ap-9324	463	59	stochastic	stochastic	ADJ
ap-9324	463	60	process	process	NOUN
ap-9324	463	61	defined	define	VERB
ap-9324	463	62	on	on	ADP
ap-9324	463	63	the	the	DET
ap-9324	463	64	probability	probability	NOUN
ap-9324	463	65	space	space	NOUN
ap-9324	463	66	(	(	PUNCT
ap-9324	463	67	ω	ω	NOUN
ap-9324	463	68	,	,	PUNCT
ap-9324	463	69	f	f	PROPN
ap-9324	463	70	,	,	PUNCT
ap-9324	463	71	p	p	NOUN
ap-9324	463	72	)	)	PUNCT
ap-9324	463	73	.	.	PUNCT
ap-9324	464	1	tables	table	NOUN
ap-9324	464	2	4–5	4–5	PROPN
ap-9324	464	3	present	present	ADJ
ap-9324	464	4	numerical	numerical	ADJ
ap-9324	464	5	results	result	NOUN
ap-9324	464	6	for	for	ADP
ap-9324	464	7	various	various	ADJ
ap-9324	464	8	values	value	NOUN
ap-9324	464	9	of	of	ADP
ap-9324	464	10	m	m	PROPN
ap-9324	464	11	,	,	PUNCT
ap-9324	464	12	for	for	ADP
ap-9324	464	13	λ	λ	NOUN
ap-9324	464	14	=	=	SYM
ap-9324	464	15	0.5	0.5	NUM
ap-9324	464	16	to	to	PART
ap-9324	464	17	compute	compute	VERB
ap-9324	464	18	the	the	DET
ap-9324	464	19	τ	τ	X
ap-9324	464	20	.	.	PUNCT
ap-9324	465	1	7	7	X
ap-9324	465	2	.	.	X
ap-9324	465	3	conclusion	conclusion	NOUN
ap-9324	465	4	it	it	PRON
ap-9324	465	5	is	be	AUX
ap-9324	465	6	possible	possible	ADJ
ap-9324	465	7	to	to	PART
ap-9324	465	8	use	use	VERB
ap-9324	465	9	a	a	DET
ap-9324	465	10	computational	computational	ADJ
ap-9324	465	11	method	method	NOUN
ap-9324	465	12	based	base	VERB
ap-9324	465	13	on	on	ADP
ap-9324	465	14	the	the	DET
ap-9324	465	15	properties	property	NOUN
ap-9324	465	16	of	of	ADP
ap-9324	465	17	bpfs	bpf	NOUN
ap-9324	465	18	with	with	ADP
ap-9324	465	19	operational	operational	ADJ
ap-9324	465	20	matrices	matrix	NOUN
ap-9324	465	21	to	to	PART
ap-9324	465	22	convert	convert	VERB
ap-9324	465	23	the	the	DET
ap-9324	465	24	problem	problem	NOUN
ap-9324	465	25	into	into	ADP
ap-9324	465	26	a	a	DET
ap-9324	465	27	system	system	NOUN
ap-9324	465	28	of	of	ADP
ap-9324	465	29	linear	linear	ADJ
ap-9324	465	30	algebraic	algebraic	ADJ
ap-9324	465	31	equations	equation	NOUN
ap-9324	465	32	.	.	PUNCT
ap-9324	466	1	as	as	ADP
ap-9324	466	2	a	a	DET
ap-9324	466	3	result	result	NOUN
ap-9324	466	4	,	,	PUNCT
ap-9324	466	5	this	this	DET
ap-9324	466	6	technique	technique	NOUN
ap-9324	466	7	transforms	transform	VERB
ap-9324	466	8	nonlinear	nonlinear	NOUN
ap-9324	466	9	139	139	NUM
ap-9324	466	10	e.	e.	PROPN
ap-9324	466	11	y.	y.	PROPN
ap-9324	466	12	kutorzi	kutorzi	PROPN
ap-9324	466	13	,	,	PUNCT
ap-9324	466	14	y.	y.	PROPN
ap-9324	466	15	zhang	zhang	PROPN
ap-9324	466	16	,	,	PUNCT
ap-9324	466	17	y.	y.	PROPN
ap-9324	466	18	shi	shi	PROPN
ap-9324	466	19	acta	acta	PROPN
ap-9324	466	20	polytechnica	polytechnica	PROPN
ap-9324	466	21	n	n	CCONJ
ap-9324	466	22	χ̄e	χ̄e	X
ap-9324	466	23	se	se	X
ap-9324	466	24	95	95	NUM
ap-9324	466	25	%	%	NOUN
ap-9324	466	26	confidence	confidence	NOUN
ap-9324	466	27	interval	interval	NOUN
ap-9324	466	28	for	for	ADP
ap-9324	466	29	mean	mean	NOUN
ap-9324	466	30	of	of	ADP
ap-9324	466	31	e	e	NOUN
ap-9324	466	32	lower	lower	X
ap-9324	466	33	upper	upper	ADJ
ap-9324	466	34	50	50	NUM
ap-9324	466	35	0.19136844	0.19136844	NUM
ap-9324	466	36	0.06088437	0.06088437	NUM
ap-9324	466	37	0.17406529	0.17406529	NUM
ap-9324	466	38	0.20867159	0.20867159	NUM
ap-9324	466	39	100	100	NUM
ap-9324	466	40	0.18904432	0.18904432	NUM
ap-9324	466	41	0.06630608	0.06630608	NUM
ap-9324	466	42	0.17588776	0.17588776	NUM
ap-9324	466	43	0.20220088	0.20220088	NUM
ap-9324	466	44	150	150	NUM
ap-9324	466	45	0.18060058	0.18060058	NUM
ap-9324	466	46	0.06734891	0.06734891	NUM
ap-9324	466	47	0.16973445	0.16973445	NUM
ap-9324	466	48	0.19146671	0.19146671	NUM
ap-9324	466	49	200	200	NUM
ap-9324	466	50	0.18457774	0.18457774	NUM
ap-9324	466	51	0.07436710	0.07436710	NUM
ap-9324	466	52	0.17420811	0.17420811	NUM
ap-9324	466	53	0.19494736	0.19494736	NUM
ap-9324	466	54	250	250	NUM
ap-9324	466	55	0.18513391	0.18513391	NUM
ap-9324	466	56	0.07368228	0.07368228	NUM
ap-9324	466	57	0.17595571	0.17595571	NUM
ap-9324	466	58	0.19431210	0.19431210	NUM
ap-9324	466	59	300	300	NUM
ap-9324	466	60	0.18425841	0.18425841	NUM
ap-9324	466	61	0.07426964	0.07426964	NUM
ap-9324	466	62	0.17582001	0.17582001	NUM
ap-9324	466	63	0.19269681	0.19269681	NUM
ap-9324	466	64	table	table	NOUN
ap-9324	466	65	4	4	NUM
ap-9324	466	66	.	.	PUNCT
ap-9324	467	1	mean	mean	VERB
ap-9324	467	2	,	,	PUNCT
ap-9324	467	3	standard	standard	ADJ
ap-9324	467	4	deviation	deviation	NOUN
ap-9324	467	5	,	,	PUNCT
ap-9324	467	6	and	and	CCONJ
ap-9324	467	7	mean	mean	VERB
ap-9324	467	8	confidence	confidence	NOUN
ap-9324	467	9	interval	interval	NOUN
ap-9324	467	10	for	for	ADP
ap-9324	467	11	error	error	NOUN
ap-9324	467	12	in	in	ADP
ap-9324	467	13	example	example	NOUN
ap-9324	467	14	3	3	NUM
ap-9324	467	15	with	with	ADP
ap-9324	467	16	m	m	PROPN
ap-9324	467	17	=	=	SYM
ap-9324	467	18	32	32	NUM
ap-9324	467	19	,	,	PUNCT
ap-9324	467	20	q	q	NOUN
ap-9324	467	21	=	=	SYM
ap-9324	467	22	0	0	NUM
ap-9324	467	23	,	,	PUNCT
ap-9324	467	24	λ	λ	X
ap-9324	467	25	=	=	NOUN
ap-9324	467	26	0.5	0.5	NUM
ap-9324	467	27	.	.	PUNCT
ap-9324	468	1	n	n	PROPN
ap-9324	468	2	χ̄e	χ̄e	PROPN
ap-9324	468	3	se	se	X
ap-9324	468	4	95	95	NUM
ap-9324	468	5	%	%	NOUN
ap-9324	468	6	confidence	confidence	NOUN
ap-9324	468	7	interval	interval	NOUN
ap-9324	468	8	for	for	ADP
ap-9324	468	9	mean	mean	NOUN
ap-9324	468	10	of	of	ADP
ap-9324	468	11	e	e	NOUN
ap-9324	468	12	lower	lower	X
ap-9324	468	13	upper	upper	ADJ
ap-9324	468	14	50	50	NUM
ap-9324	468	15	0.18850030	0.18850030	NUM
ap-9324	468	16	0.07900637	0.07900637	NUM
ap-9324	468	17	0.16604694	0.16604694	NUM
ap-9324	468	18	0.21095366	0.21095366	NUM
ap-9324	468	19	100	100	NUM
ap-9324	469	1	0.19126831	0.19126831	NUM
ap-9324	469	2	0.07912381	0.07912381	NUM
ap-9324	469	3	0.17556843	0.17556843	NUM
ap-9324	469	4	0.20696819	0.20696819	NUM
ap-9324	469	5	150	150	NUM
ap-9324	469	6	0.19011608	0.19011608	NUM
ap-9324	469	7	0.08055573	0.08055573	NUM
ap-9324	469	8	0.17711915	0.17711915	NUM
ap-9324	469	9	0.20311301	0.20311301	NUM
ap-9324	469	10	200	200	NUM
ap-9324	469	11	0.19260138	0.19260138	NUM
ap-9324	469	12	0.08272020	0.08272020	NUM
ap-9324	469	13	0.18106700	0.18106700	NUM
ap-9324	469	14	0.20413575	0.20413575	NUM
ap-9324	469	15	250	250	NUM
ap-9324	469	16	0.18888323	0.18888323	NUM
ap-9324	469	17	0.08117339	0.08117339	NUM
ap-9324	469	18	0.17877191	0.17877191	NUM
ap-9324	469	19	0.19899455	0.19899455	NUM
ap-9324	469	20	300	300	NUM
ap-9324	469	21	0.18898994	0.18898994	NUM
ap-9324	469	22	0.08172767	0.08172767	NUM
ap-9324	469	23	0.17970417	0.17970417	NUM
ap-9324	469	24	0.19827572	0.19827572	NUM
ap-9324	469	25	table	table	NOUN
ap-9324	469	26	5	5	NUM
ap-9324	469	27	.	.	PUNCT
ap-9324	470	1	mean	mean	VERB
ap-9324	470	2	,	,	PUNCT
ap-9324	470	3	standard	standard	ADJ
ap-9324	470	4	deviation	deviation	NOUN
ap-9324	470	5	,	,	PUNCT
ap-9324	470	6	and	and	CCONJ
ap-9324	470	7	mean	mean	VERB
ap-9324	470	8	confidence	confidence	NOUN
ap-9324	470	9	interval	interval	NOUN
ap-9324	470	10	for	for	ADP
ap-9324	470	11	error	error	NOUN
ap-9324	470	12	in	in	ADP
ap-9324	470	13	example	example	NOUN
ap-9324	470	14	3	3	NUM
ap-9324	470	15	with	with	ADP
ap-9324	470	16	m	m	PROPN
ap-9324	470	17	=	=	SYM
ap-9324	470	18	64	64	NUM
ap-9324	470	19	,	,	PUNCT
ap-9324	470	20	q	q	NOUN
ap-9324	470	21	=	=	SYM
ap-9324	470	22	0	0	NUM
ap-9324	470	23	,	,	PUNCT
ap-9324	470	24	λ	λ	X
ap-9324	470	25	=	=	NOUN
ap-9324	470	26	0.5	0.5	NUM
ap-9324	470	27	.	.	PUNCT
ap-9324	471	1	stochastic	stochastic	ADJ
ap-9324	471	2	volterra	volterra	NOUN
ap-9324	471	3	-	-	PUNCT
ap-9324	471	4	fredholm	fredholm	NOUN
ap-9324	471	5	integral	integral	ADJ
ap-9324	471	6	equations	equation	NOUN
ap-9324	471	7	into	into	ADP
ap-9324	471	8	a	a	DET
ap-9324	471	9	system	system	NOUN
ap-9324	471	10	of	of	ADP
ap-9324	471	11	linear	linear	PROPN
ap-9324	471	12	algebraic	algebraic	ADJ
ap-9324	471	13	equations	equation	NOUN
ap-9324	471	14	whose	whose	DET
ap-9324	471	15	coefficients	coefficient	NOUN
ap-9324	471	16	represent	represent	VERB
ap-9324	471	17	bpfs	bpf	NOUN
ap-9324	471	18	that	that	PRON
ap-9324	471	19	represent	represent	VERB
ap-9324	471	20	solutions	solution	NOUN
ap-9324	471	21	to	to	ADP
ap-9324	471	22	these	these	DET
ap-9324	471	23	equations	equation	NOUN
ap-9324	471	24	.	.	PUNCT
ap-9324	472	1	as	as	ADV
ap-9324	472	2	well	well	ADV
ap-9324	472	3	as	as	ADP
ap-9324	472	4	error	error	NOUN
ap-9324	472	5	analysis	analysis	NOUN
ap-9324	472	6	,	,	PUNCT
ap-9324	472	7	numerical	numerical	ADJ
ap-9324	472	8	examples	example	NOUN
ap-9324	472	9	provide	provide	VERB
ap-9324	472	10	a	a	DET
ap-9324	472	11	solid	solid	ADJ
ap-9324	472	12	basis	basis	NOUN
ap-9324	472	13	for	for	ADP
ap-9324	472	14	combined	combined	ADJ
ap-9324	472	15	effects	effect	NOUN
ap-9324	472	16	and	and	CCONJ
ap-9324	472	17	observe	observe	VERB
ap-9324	472	18	a	a	DET
ap-9324	472	19	perfect	perfect	ADJ
ap-9324	472	20	agreement	agreement	NOUN
ap-9324	472	21	between	between	ADP
ap-9324	472	22	the	the	DET
ap-9324	472	23	exact	exact	ADJ
ap-9324	472	24	solutions	solution	NOUN
ap-9324	472	25	and	and	CCONJ
ap-9324	472	26	the	the	DET
ap-9324	472	27	numerical	numerical	ADJ
ap-9324	472	28	results	result	NOUN
ap-9324	472	29	,	,	PUNCT
ap-9324	472	30	achieving	achieve	VERB
ap-9324	472	31	full	full	ADJ
ap-9324	472	32	convergence	convergence	NOUN
ap-9324	472	33	.	.	PUNCT
ap-9324	473	1	these	these	PRON
ap-9324	473	2	include	include	VERB
ap-9324	473	3	stochastic	stochastic	ADJ
ap-9324	473	4	integrals	integral	NOUN
ap-9324	473	5	and	and	CCONJ
ap-9324	473	6	ordinary	ordinary	ADJ
ap-9324	473	7	differential	differential	ADJ
ap-9324	473	8	equations	equation	NOUN
ap-9324	473	9	;	;	PUNCT
ap-9324	473	10	arithmetic	arithmetic	ADJ
ap-9324	473	11	operations	operation	NOUN
ap-9324	473	12	are	be	AUX
ap-9324	473	13	carried	carry	VERB
ap-9324	473	14	out	out	ADP
ap-9324	473	15	without	without	ADP
ap-9324	473	16	requiring	require	VERB
ap-9324	473	17	derivatives	derivative	NOUN
ap-9324	473	18	or	or	CCONJ
ap-9324	473	19	integration	integration	NOUN
ap-9324	473	20	.	.	PUNCT
ap-9324	474	1	a	a	DET
ap-9324	474	2	python	python	NOUN
ap-9324	474	3	3	3	NUM
ap-9324	474	4	environment	environment	NOUN
ap-9324	474	5	was	be	AUX
ap-9324	474	6	used	use	VERB
ap-9324	474	7	to	to	PART
ap-9324	474	8	perform	perform	VERB
ap-9324	474	9	the	the	DET
ap-9324	474	10	computations	computation	NOUN
ap-9324	474	11	associated	associate	VERB
ap-9324	474	12	with	with	ADP
ap-9324	474	13	the	the	DET
ap-9324	474	14	examples	example	NOUN
ap-9324	474	15	.	.	PUNCT
ap-9324	475	1	we	we	PRON
ap-9324	475	2	observe	observe	VERB
ap-9324	475	3	the	the	DET
ap-9324	475	4	auspicious	auspicious	ADJ
ap-9324	475	5	results	result	NOUN
ap-9324	475	6	and	and	CCONJ
ap-9324	475	7	hope	hope	VERB
ap-9324	475	8	to	to	PART
ap-9324	475	9	extend	extend	VERB
ap-9324	475	10	the	the	DET
ap-9324	475	11	method	method	NOUN
ap-9324	475	12	to	to	ADP
ap-9324	475	13	more	more	ADV
ap-9324	475	14	general	general	ADJ
ap-9324	475	15	backward	backward	ADJ
ap-9324	475	16	stochastic	stochastic	ADJ
ap-9324	475	17	volterra	volterra	NOUN
ap-9324	475	18	integral	integral	ADJ
ap-9324	475	19	equations	equation	NOUN
ap-9324	475	20	in	in	ADP
ap-9324	475	21	sequels	sequel	NOUN
ap-9324	475	22	.	.	PUNCT
ap-9324	476	1	acknowledgements	acknowledgement	NOUN
ap-9324	476	2	the	the	DET
ap-9324	476	3	authors	author	NOUN
ap-9324	476	4	thank	thank	VERB
ap-9324	476	5	the	the	DET
ap-9324	476	6	reviewers	reviewer	NOUN
ap-9324	476	7	for	for	ADP
ap-9324	476	8	their	their	PRON
ap-9324	476	9	valuable	valuable	ADJ
ap-9324	476	10	comments	comment	NOUN
ap-9324	476	11	and	and	CCONJ
ap-9324	476	12	efforts	effort	NOUN
ap-9324	476	13	to	to	PART
ap-9324	476	14	improve	improve	VERB
ap-9324	476	15	our	our	PRON
ap-9324	476	16	article	article	NOUN
ap-9324	476	17	.	.	PUNCT
ap-9324	477	1	this	this	DET
ap-9324	477	2	research	research	NOUN
ap-9324	477	3	was	be	AUX
ap-9324	477	4	supported	support	VERB
ap-9324	477	5	by	by	ADP
ap-9324	477	6	national	national	ADJ
ap-9324	477	7	key	key	ADJ
ap-9324	477	8	r&d	r&d	NOUN
ap-9324	477	9	program	program	NOUN
ap-9324	477	10	of	of	ADP
ap-9324	477	11	china	china	PROPN
ap-9324	477	12	(	(	PUNCT
ap-9324	477	13	2023yfa1008903	2023yfa1008903	NUM
ap-9324	477	14	)	)	PUNCT
ap-9324	477	15	and	and	CCONJ
ap-9324	477	16	the	the	DET
ap-9324	477	17	major	major	ADJ
ap-9324	477	18	fundamental	fundamental	ADJ
ap-9324	477	19	research	research	NOUN
ap-9324	477	20	project	project	NOUN
ap-9324	477	21	of	of	ADP
ap-9324	477	22	shandong	shandong	PROPN
ap-9324	477	23	province	province	PROPN
ap-9324	477	24	of	of	ADP
ap-9324	477	25	china	china	PROPN
ap-9324	477	26	(	(	PUNCT
ap-9324	477	27	no	no	INTJ
ap-9324	477	28	.	.	PUNCT
ap-9324	477	29	zr2023dz33	zr2023dz33	PROPN
ap-9324	477	30	)	)	PUNCT
ap-9324	477	31	.	.	PUNCT
ap-9324	478	1	references	reference	NOUN
ap-9324	478	2	[	[	X
ap-9324	478	3	1	1	NUM
ap-9324	478	4	]	]	PUNCT
ap-9324	478	5	h.	h.	PROPN
ap-9324	478	6	k.	k.	PROPN
ap-9324	478	7	dawood	dawood	PROPN
ap-9324	478	8	.	.	PUNCT
ap-9324	479	1	computational	computational	ADJ
ap-9324	479	2	block	block	NOUN
ap-9324	479	3	-	-	PUNCT
ap-9324	479	4	pulse	pulse	NOUN
ap-9324	479	5	functions	function	NOUN
ap-9324	479	6	method	method	NOUN
ap-9324	479	7	for	for	ADP
ap-9324	479	8	solving	solve	VERB
ap-9324	479	9	volterra	volterra	NOUN
ap-9324	479	10	integral	integral	ADJ
ap-9324	479	11	equations	equation	NOUN
ap-9324	479	12	with	with	ADP
ap-9324	479	13	delay	delay	NOUN
ap-9324	479	14	.	.	PUNCT
ap-9324	480	1	journal	journal	PROPN
ap-9324	480	2	of	of	ADP
ap-9324	480	3	university	university	PROPN
ap-9324	480	4	of	of	ADP
ap-9324	480	5	babylon	babylon	PROPN
ap-9324	480	6	for	for	ADP
ap-9324	480	7	pure	pure	ADJ
ap-9324	480	8	and	and	CCONJ
ap-9324	480	9	applied	apply	VERB
ap-9324	480	10	sciences	science	NOUN
ap-9324	480	11	27(1):32–42	27(1):32–42	NUM
ap-9324	480	12	,	,	PUNCT
ap-9324	480	13	2019	2019	NUM
ap-9324	480	14	.	.	PUNCT
ap-9324	481	1	https://doi.org/10.29196/jubpas.v27i1.2063	https://doi.org/10.29196/jubpas.v27i1.2063	AUX
ap-9324	482	1	[	[	X
ap-9324	482	2	2	2	NUM
ap-9324	482	3	]	]	PUNCT
ap-9324	482	4	c.	c.	PROPN
ap-9324	482	5	kasumo	kasumo	PROPN
ap-9324	482	6	.	.	PUNCT
ap-9324	483	1	on	on	ADP
ap-9324	483	2	the	the	DET
ap-9324	483	3	approximate	approximate	ADJ
ap-9324	483	4	solutions	solution	NOUN
ap-9324	483	5	of	of	ADP
ap-9324	483	6	linear	linear	PROPN
ap-9324	483	7	volterra	volterra	PROPN
ap-9324	483	8	integral	integral	ADJ
ap-9324	483	9	equations	equation	NOUN
ap-9324	483	10	of	of	ADP
ap-9324	483	11	the	the	DET
ap-9324	483	12	first	first	ADJ
ap-9324	483	13	kind	kind	NOUN
ap-9324	483	14	.	.	PUNCT
ap-9324	484	1	applied	apply	VERB
ap-9324	484	2	mathematical	mathematical	ADJ
ap-9324	484	3	sciences	sciences	PROPN
ap-9324	484	4	14(3):141–153	14(3):141–153	NUM
ap-9324	484	5	,	,	PUNCT
ap-9324	484	6	2020	2020	NUM
ap-9324	484	7	.	.	PUNCT
ap-9324	485	1	https://doi.org/10.12988/ams.2020.912176	https://doi.org/10.12988/ams.2020.912176	PRON
ap-9324	486	1	[	[	X
ap-9324	486	2	3	3	NUM
ap-9324	486	3	]	]	PUNCT
ap-9324	486	4	k.	k.	PROPN
ap-9324	486	5	maleknejad	maleknejad	PROPN
ap-9324	486	6	,	,	PUNCT
ap-9324	486	7	p.	p.	NOUN
ap-9324	486	8	torabi	torabi	PROPN
ap-9324	486	9	,	,	PUNCT
ap-9324	486	10	s.	s.	PROPN
ap-9324	486	11	sauter	sauter	PROPN
ap-9324	486	12	.	.	PUNCT
ap-9324	487	1	numerical	numerical	ADJ
ap-9324	487	2	solution	solution	NOUN
ap-9324	487	3	of	of	ADP
ap-9324	487	4	a	a	DET
ap-9324	487	5	non	non	ADJ
ap-9324	487	6	-	-	ADJ
ap-9324	487	7	linear	linear	ADJ
ap-9324	487	8	volterra	volterra	NOUN
ap-9324	487	9	integral	integral	ADJ
ap-9324	487	10	equation	equation	NOUN
ap-9324	487	11	.	.	PUNCT
ap-9324	488	1	vietnam	vietnam	PROPN
ap-9324	488	2	journal	journal	PROPN
ap-9324	488	3	of	of	ADP
ap-9324	488	4	mathematics	mathematics	PROPN
ap-9324	488	5	44:5–28	44:5–28	NUM
ap-9324	488	6	,	,	PUNCT
ap-9324	488	7	2016	2016	NUM
ap-9324	488	8	.	.	PUNCT
ap-9324	489	1	https://doi.org/10.1007/s10013-015-0149-8	https://doi.org/10.1007/s10013-015-0149-8	NOUN
ap-9324	490	1	[	[	X
ap-9324	490	2	4	4	X
ap-9324	490	3	]	]	X
ap-9324	490	4	e.	e.	PROPN
ap-9324	490	5	babolian	babolian	PROPN
ap-9324	490	6	,	,	PUNCT
ap-9324	490	7	z.	z.	PROPN
ap-9324	490	8	masouri	masouri	PROPN
ap-9324	490	9	.	.	PUNCT
ap-9324	491	1	direct	direct	ADJ
ap-9324	491	2	method	method	NOUN
ap-9324	491	3	to	to	PART
ap-9324	491	4	solve	solve	VERB
ap-9324	491	5	volterra	volterra	NOUN
ap-9324	491	6	integral	integral	ADJ
ap-9324	491	7	equation	equation	NOUN
ap-9324	491	8	of	of	ADP
ap-9324	491	9	the	the	DET
ap-9324	491	10	first	first	ADJ
ap-9324	491	11	kind	kind	NOUN
ap-9324	491	12	using	use	VERB
ap-9324	491	13	operational	operational	ADJ
ap-9324	491	14	matrix	matrix	NOUN
ap-9324	491	15	with	with	ADP
ap-9324	491	16	block	block	NOUN
ap-9324	491	17	-	-	PUNCT
ap-9324	491	18	pulse	pulse	NOUN
ap-9324	491	19	functions	function	NOUN
ap-9324	491	20	.	.	PUNCT
ap-9324	492	1	journal	journal	NOUN
ap-9324	492	2	of	of	ADP
ap-9324	492	3	computational	computational	ADJ
ap-9324	492	4	and	and	CCONJ
ap-9324	492	5	applied	applied	ADJ
ap-9324	492	6	mathematics	mathematic	NOUN
ap-9324	492	7	220(1–2):51–57	220(1–2):51–57	NUM
ap-9324	492	8	,	,	PUNCT
ap-9324	492	9	2008	2008	NUM
ap-9324	492	10	.	.	PUNCT
ap-9324	493	1	https://doi.org/10.1016/j.cam.2007.07.029	https://doi.org/10.1016/j.cam.2007.07.029	VERB
ap-9324	493	2	[	[	X
ap-9324	493	3	5	5	NUM
ap-9324	493	4	]	]	PUNCT
ap-9324	493	5	t.	t.	PROPN
ap-9324	493	6	s.	s.	PROPN
ap-9324	493	7	gutleb	gutleb	PROPN
ap-9324	493	8	,	,	PUNCT
ap-9324	493	9	s.	s.	PROPN
ap-9324	493	10	olver	olver	PROPN
ap-9324	493	11	.	.	PUNCT
ap-9324	494	1	a	a	DET
ap-9324	494	2	sparse	sparse	ADJ
ap-9324	494	3	spectral	spectral	ADJ
ap-9324	494	4	method	method	NOUN
ap-9324	494	5	for	for	ADP
ap-9324	494	6	volterra	volterra	NOUN
ap-9324	494	7	integral	integral	ADJ
ap-9324	494	8	equations	equation	NOUN
ap-9324	494	9	using	use	VERB
ap-9324	494	10	orthogonal	orthogonal	ADJ
ap-9324	494	11	polynomials	polynomial	NOUN
ap-9324	494	12	on	on	ADP
ap-9324	494	13	the	the	DET
ap-9324	494	14	triangle	triangle	NOUN
ap-9324	494	15	.	.	PUNCT
ap-9324	495	1	siam	siam	PROPN
ap-9324	495	2	journal	journal	PROPN
ap-9324	495	3	on	on	ADP
ap-9324	495	4	numerical	numerical	ADJ
ap-9324	495	5	analysis	analysis	NOUN
ap-9324	495	6	58(3):1993–2018	58(3):1993–2018	NUM
ap-9324	495	7	,	,	PUNCT
ap-9324	495	8	2020	2020	NUM
ap-9324	495	9	.	.	PUNCT
ap-9324	496	1	https://doi.org/10.1137/19m1267441	https://doi.org/10.1137/19m1267441	NOUN
ap-9324	497	1	[	[	X
ap-9324	497	2	6	6	NUM
ap-9324	497	3	]	]	X
ap-9324	497	4	y.	y.	PROPN
ap-9324	497	5	hamaguchi	hamaguchi	PROPN
ap-9324	497	6	.	.	PUNCT
ap-9324	498	1	on	on	ADP
ap-9324	498	2	the	the	DET
ap-9324	498	3	maximum	maximum	ADJ
ap-9324	498	4	principle	principle	NOUN
ap-9324	498	5	for	for	ADP
ap-9324	498	6	optimal	optimal	ADJ
ap-9324	498	7	control	control	NOUN
ap-9324	498	8	problems	problem	NOUN
ap-9324	498	9	of	of	ADP
ap-9324	498	10	stochastic	stochastic	ADJ
ap-9324	498	11	volterra	volterra	NOUN
ap-9324	498	12	integral	integral	ADJ
ap-9324	498	13	equations	equation	NOUN
ap-9324	498	14	with	with	ADP
ap-9324	498	15	delay	delay	NOUN
ap-9324	498	16	.	.	PUNCT
ap-9324	499	1	applied	apply	VERB
ap-9324	499	2	mathematics	mathematics	PROPN
ap-9324	499	3	&	&	CCONJ
ap-9324	499	4	optimization	optimization	NOUN
ap-9324	499	5	87:42	87:42	NUM
ap-9324	499	6	,	,	PUNCT
ap-9324	499	7	2023	2023	NUM
ap-9324	499	8	.	.	PUNCT
ap-9324	500	1	https://doi.org/10.1007/s00245-022-09958-w	https://doi.org/10.1007/s00245-022-09958-w	NOUN
ap-9324	501	1	[	[	X
ap-9324	501	2	7	7	X
ap-9324	501	3	]	]	X
ap-9324	501	4	k.	k.	PROPN
ap-9324	501	5	maleknejad	maleknejad	PROPN
ap-9324	501	6	,	,	PUNCT
ap-9324	501	7	k.	k.	PROPN
ap-9324	501	8	mahdiani	mahdiani	PROPN
ap-9324	501	9	.	.	PUNCT
ap-9324	502	1	solving	solve	VERB
ap-9324	502	2	nonlinear	nonlinear	ADJ
ap-9324	502	3	mixed	mixed	ADJ
ap-9324	502	4	volterra	volterra	NOUN
ap-9324	502	5	-	-	PUNCT
ap-9324	502	6	fredholm	fredholm	NOUN
ap-9324	502	7	integral	integral	ADJ
ap-9324	502	8	equations	equation	NOUN
ap-9324	502	9	with	with	ADP
ap-9324	502	10	two	two	NUM
ap-9324	502	11	dimensional	dimensional	ADJ
ap-9324	502	12	block	block	NOUN
ap-9324	502	13	-	-	PUNCT
ap-9324	502	14	pulse	pulse	NOUN
ap-9324	502	15	functions	function	NOUN
ap-9324	502	16	using	use	VERB
ap-9324	502	17	direct	direct	ADJ
ap-9324	502	18	method	method	NOUN
ap-9324	502	19	.	.	PUNCT
ap-9324	503	1	communications	communication	NOUN
ap-9324	503	2	in	in	ADP
ap-9324	503	3	nonlinear	nonlinear	ADJ
ap-9324	503	4	science	science	NOUN
ap-9324	503	5	and	and	CCONJ
ap-9324	503	6	numerical	numerical	PROPN
ap-9324	503	7	simulation	simulation	PROPN
ap-9324	503	8	16(9):3512–3519	16(9):3512–3519	NUM
ap-9324	503	9	,	,	PUNCT
ap-9324	503	10	2011	2011	NUM
ap-9324	503	11	.	.	PUNCT
ap-9324	504	1	https://doi.org/10.1016/j.cnsns.2010.12.036	https://doi.org/10.1016/j.cnsns.2010.12.036	NOUN
ap-9324	504	2	140	140	NUM
ap-9324	504	3	https://doi.org/10.29196/jubpas.v27i1.2063	https://doi.org/10.29196/jubpas.v27i1.2063	VERB
ap-9324	504	4	https://doi.org/10.12988/ams.2020.912176	https://doi.org/10.12988/ams.2020.912176	PROPN
ap-9324	504	5	https://doi.org/10.1007/s10013-015-0149-8	https://doi.org/10.1007/s10013-015-0149-8	PROPN
ap-9324	504	6	https://doi.org/10.1016/j.cam.2007.07.029	https://doi.org/10.1016/j.cam.2007.07.029	PROPN
ap-9324	504	7	https://doi.org/10.1137/19m1267441	https://doi.org/10.1137/19m1267441	PROPN
ap-9324	504	8	https://doi.org/10.1007/s00245-022-09958-w	https://doi.org/10.1007/s00245-022-09958-w	PROPN
ap-9324	504	9	https://doi.org/10.1016/j.cnsns.2010.12.036	https://doi.org/10.1016/j.cnsns.2010.12.036	NOUN
ap-9324	504	10	vol	vol	NOUN
ap-9324	504	11	.	.	PROPN
ap-9324	505	1	64	64	NUM
ap-9324	505	2	no	no	NOUN
ap-9324	505	3	.	.	PUNCT
ap-9324	506	1	2/2024	2/2024	NUM
ap-9324	506	2	stochastic	stochastic	ADJ
ap-9324	506	3	volterra	volterra	NOUN
ap-9324	506	4	-	-	PUNCT
ap-9324	506	5	fredholm	fredholm	NOUN
ap-9324	506	6	with	with	ADP
ap-9324	506	7	delay	delay	NOUN
ap-9324	506	8	[	[	X
ap-9324	506	9	8	8	NUM
ap-9324	506	10	]	]	PUNCT
ap-9324	506	11	m.	m.	NOUN
ap-9324	506	12	rabbani	rabbani	PROPN
ap-9324	506	13	,	,	PUNCT
ap-9324	506	14	k.	k.	PROPN
ap-9324	506	15	nouri	nouri	PROPN
ap-9324	506	16	.	.	PUNCT
ap-9324	507	1	solution	solution	NOUN
ap-9324	507	2	of	of	ADP
ap-9324	507	3	integral	integral	ADJ
ap-9324	507	4	equations	equation	NOUN
ap-9324	507	5	by	by	ADP
ap-9324	507	6	using	use	VERB
ap-9324	507	7	block	block	NOUN
ap-9324	507	8	-	-	PUNCT
ap-9324	507	9	pulse	pulse	NOUN
ap-9324	507	10	functions	function	NOUN
ap-9324	507	11	.	.	PUNCT
ap-9324	508	1	mathematical	mathematical	ADJ
ap-9324	508	2	sciences	sciences	PROPN
ap-9324	508	3	quarterly	quarterly	ADJ
ap-9324	508	4	journal	journal	NOUN
ap-9324	508	5	4(1):39–48	4(1):39–48	NUM
ap-9324	508	6	,	,	PUNCT
ap-9324	508	7	2010	2010	NUM
ap-9324	508	8	.	.	PUNCT
ap-9324	509	1	[	[	X
ap-9324	509	2	9	9	NUM
ap-9324	509	3	]	]	PUNCT
ap-9324	509	4	s.	s.	PROPN
ap-9324	509	5	h.	h.	PROPN
ap-9324	509	6	esmail	esmail	PROPN
ap-9324	509	7	babolian	babolian	PROPN
ap-9324	509	8	,	,	PUNCT
ap-9324	509	9	zahra	zahra	PROPN
ap-9324	509	10	masouri	masouri	PROPN
ap-9324	509	11	.	.	PUNCT
ap-9324	510	1	new	new	ADJ
ap-9324	510	2	direct	direct	ADJ
ap-9324	510	3	method	method	NOUN
ap-9324	510	4	to	to	PART
ap-9324	510	5	solve	solve	VERB
ap-9324	510	6	nonlinear	nonlinear	ADJ
ap-9324	510	7	volterra	volterra	NOUN
ap-9324	510	8	-	-	PUNCT
ap-9324	510	9	fredholm	fredholm	NOUN
ap-9324	510	10	integral	integral	ADJ
ap-9324	510	11	and	and	CCONJ
ap-9324	510	12	integro	integro	ADJ
ap-9324	510	13	-	-	PUNCT
ap-9324	510	14	differential	differential	NOUN
ap-9324	510	15	equations	equation	NOUN
ap-9324	510	16	using	use	VERB
ap-9324	510	17	operational	operational	ADJ
ap-9324	510	18	matrix	matrix	NOUN
ap-9324	510	19	with	with	ADP
ap-9324	510	20	block	block	NOUN
ap-9324	510	21	-	-	PUNCT
ap-9324	510	22	pulse	pulse	NOUN
ap-9324	510	23	functions	function	NOUN
ap-9324	510	24	.	.	PUNCT
ap-9324	511	1	progress	progress	NOUN
ap-9324	511	2	in	in	ADP
ap-9324	511	3	electromagnetics	electromagnetic	NOUN
ap-9324	511	4	research	research	PROPN
ap-9324	511	5	b	b	NOUN
ap-9324	511	6	8:59–76	8:59–76	NUM
ap-9324	511	7	,	,	PUNCT
ap-9324	511	8	2008	2008	NUM
ap-9324	511	9	.	.	PUNCT
ap-9324	512	1	https://doi.org/10.2528/pierb08050505	https://doi.org/10.2528/pierb08050505	PROPN
ap-9324	512	2	[	[	X
ap-9324	512	3	10	10	NUM
ap-9324	512	4	]	]	X
ap-9324	512	5	y.	y.	PROPN
ap-9324	512	6	shi	shi	PROPN
ap-9324	512	7	,	,	PUNCT
ap-9324	512	8	t.	t.	PROPN
ap-9324	512	9	wang	wang	PROPN
ap-9324	512	10	.	.	PUNCT
ap-9324	513	1	solvability	solvability	PROPN
ap-9324	513	2	of	of	ADP
ap-9324	513	3	general	general	ADJ
ap-9324	513	4	backward	backward	ADJ
ap-9324	513	5	stochastic	stochastic	ADJ
ap-9324	513	6	volterra	volterra	NOUN
ap-9324	513	7	integral	integral	ADJ
ap-9324	513	8	equations	equation	NOUN
ap-9324	513	9	.	.	PUNCT
ap-9324	514	1	journal	journal	NOUN
ap-9324	514	2	of	of	ADP
ap-9324	514	3	the	the	DET
ap-9324	514	4	korean	korean	PROPN
ap-9324	514	5	mathematical	mathematical	ADJ
ap-9324	514	6	society	society	NOUN
ap-9324	514	7	49(6):1301–1321	49(6):1301–1321	NUM
ap-9324	514	8	,	,	PUNCT
ap-9324	514	9	2012	2012	NUM
ap-9324	514	10	.	.	PUNCT
ap-9324	515	1	https://doi.org/10.4134/jkms.2012.49.6.1301	https://doi.org/10.4134/jkms.2012.49.6.1301	PRON
ap-9324	516	1	[	[	X
ap-9324	516	2	11	11	NUM
ap-9324	516	3	]	]	PUNCT
ap-9324	516	4	a.	a.	NOUN
ap-9324	516	5	a.	a.	NOUN
ap-9324	516	6	khidir	khidir	PROPN
ap-9324	516	7	.	.	PUNCT
ap-9324	517	1	a	a	DET
ap-9324	517	2	numerical	numerical	ADJ
ap-9324	517	3	technique	technique	NOUN
ap-9324	517	4	for	for	ADP
ap-9324	517	5	solving	solve	VERB
ap-9324	517	6	volterra	volterra	NOUN
ap-9324	517	7	-	-	PUNCT
ap-9324	517	8	fredholm	fredholm	NOUN
ap-9324	517	9	integral	integral	ADJ
ap-9324	517	10	equations	equation	NOUN
ap-9324	517	11	using	use	VERB
ap-9324	517	12	chebyshev	chebyshev	PROPN
ap-9324	517	13	spectral	spectral	ADJ
ap-9324	517	14	method	method	NOUN
ap-9324	517	15	.	.	PUNCT
ap-9324	518	1	ricerche	ricerche	PROPN
ap-9324	518	2	di	di	PROPN
ap-9324	518	3	matematica	matematica	PROPN
ap-9324	518	4	2022	2022	NUM
ap-9324	518	5	.	.	PUNCT
ap-9324	519	1	https://doi.org/10.1007/s11587-022-00692-7	https://doi.org/10.1007/s11587-022-00692-7	PROPN
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ap-9324	520	2	12	12	NUM
ap-9324	520	3	]	]	PUNCT
ap-9324	520	4	m.	m.	NOUN
ap-9324	520	5	samar	samar	PROPN
ap-9324	520	6	,	,	PUNCT
ap-9324	520	7	k.	k.	PROPN
ap-9324	520	8	e.	e.	PROPN
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ap-9324	520	10	,	,	PUNCT
ap-9324	520	11	x.	x.	PROPN
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ap-9324	520	13	.	.	PUNCT
ap-9324	521	1	numerical	numerical	ADJ
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ap-9324	521	5	backward	backward	ADJ
ap-9324	521	6	stochastic	stochastic	ADJ
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ap-9324	521	8	integral	integral	ADJ
ap-9324	521	9	equations	equation	NOUN
ap-9324	521	10	.	.	PUNCT
ap-9324	522	1	axioms	axioms	PROPN
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ap-9324	522	3	,	,	PUNCT
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ap-9324	522	5	.	.	PUNCT
ap-9324	523	1	https://doi.org/10.3390/axioms12090888	https://doi.org/10.3390/axioms12090888	PROPN
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ap-9324	523	3	13	13	NUM
ap-9324	523	4	]	]	PUNCT
ap-9324	523	5	a.	a.	NOUN
ap-9324	523	6	bellour	bellour	PROPN
ap-9324	523	7	,	,	PUNCT
ap-9324	523	8	m.	m.	NOUN
ap-9324	523	9	bousselsal	bousselsal	PROPN
ap-9324	523	10	.	.	PUNCT
ap-9324	524	1	a	a	DET
ap-9324	524	2	taylor	taylor	NOUN
ap-9324	524	3	collocation	collocation	NOUN
ap-9324	524	4	method	method	NOUN
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ap-9324	524	6	solving	solve	VERB
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ap-9324	524	8	integral	integral	ADJ
ap-9324	524	9	equations	equation	NOUN
ap-9324	524	10	.	.	PUNCT
ap-9324	525	1	numerical	numerical	ADJ
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ap-9324	525	4	,	,	PUNCT
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ap-9324	525	6	.	.	PUNCT
ap-9324	526	1	https://doi.org/10.1007/s11075-013-9717-8	https://doi.org/10.1007/s11075-013-9717-8	NUM
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ap-9324	527	2	14	14	NUM
ap-9324	527	3	]	]	X
ap-9324	527	4	q.	q.	PROPN
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ap-9324	527	6	,	,	PUNCT
ap-9324	527	7	t.	t.	PROPN
ap-9324	527	8	huang	huang	PROPN
ap-9324	527	9	.	.	PUNCT
ap-9324	528	1	stability	stability	NOUN
ap-9324	528	2	analysis	analysis	NOUN
ap-9324	528	3	for	for	ADP
ap-9324	528	4	a	a	DET
ap-9324	528	5	class	class	NOUN
ap-9324	528	6	of	of	ADP
ap-9324	528	7	stochastic	stochastic	ADJ
ap-9324	528	8	delay	delay	NOUN
ap-9324	528	9	nonlinear	nonlinear	PROPN
ap-9324	528	10	systems	system	NOUN
ap-9324	528	11	driven	drive	VERB
ap-9324	528	12	by	by	ADP
ap-9324	528	13	g	g	NOUN
ap-9324	528	14	-	-	PUNCT
ap-9324	528	15	brownian	brownian	ADJ
ap-9324	528	16	motion	motion	NOUN
ap-9324	528	17	.	.	PUNCT
ap-9324	529	1	systems	system	NOUN
ap-9324	529	2	&	&	CCONJ
ap-9324	529	3	control	control	PROPN
ap-9324	529	4	letters	letter	NOUN
ap-9324	529	5	140:104699	140:104699	NUM
ap-9324	529	6	,	,	PUNCT
ap-9324	529	7	2020	2020	NUM
ap-9324	529	8	.	.	PUNCT
ap-9324	530	1	https://doi.org/10.1016/j.sysconle.2020.104699	https://doi.org/10.1016/j.sysconle.2020.104699	ADJ
ap-9324	530	2	[	[	X
ap-9324	530	3	15	15	NUM
ap-9324	530	4	]	]	X
ap-9324	530	5	r.	r.	PROPN
ap-9324	530	6	song	song	PROPN
ap-9324	530	7	,	,	PUNCT
ap-9324	530	8	b.	b.	PROPN
ap-9324	530	9	wang	wang	PROPN
ap-9324	530	10	,	,	PUNCT
ap-9324	530	11	q.	q.	PROPN
ap-9324	530	12	zhu	zhu	PROPN
ap-9324	530	13	.	.	PUNCT
ap-9324	531	1	stabilization	stabilization	NOUN
ap-9324	531	2	by	by	ADP
ap-9324	531	3	variable	variable	ADJ
ap-9324	531	4	-	-	PUNCT
ap-9324	531	5	delay	delay	NOUN
ap-9324	531	6	feedback	feedback	NOUN
ap-9324	531	7	control	control	NOUN
ap-9324	531	8	for	for	ADP
ap-9324	531	9	highly	highly	ADV
ap-9324	531	10	nonlinear	nonlinear	ADJ
ap-9324	531	11	hybrid	hybrid	ADJ
ap-9324	531	12	stochastic	stochastic	ADJ
ap-9324	531	13	differential	differential	ADJ
ap-9324	531	14	delay	delay	NOUN
ap-9324	531	15	equations	equation	NOUN
ap-9324	531	16	.	.	PUNCT
ap-9324	532	1	systems	system	NOUN
ap-9324	532	2	&	&	CCONJ
ap-9324	532	3	control	control	PROPN
ap-9324	532	4	letters	letter	NOUN
ap-9324	532	5	157:105041	157:105041	NUM
ap-9324	532	6	,	,	PUNCT
ap-9324	532	7	2021	2021	NUM
ap-9324	532	8	.	.	PUNCT
ap-9324	533	1	https://doi.org/10.1016/j.sysconle.2021.105041	https://doi.org/10.1016/j.sysconle.2021.105041	VERB
ap-9324	533	2	[	[	X
ap-9324	533	3	16	16	NUM
ap-9324	533	4	]	]	PUNCT
ap-9324	533	5	m.	m.	PROPN
ap-9324	533	6	nouri	nouri	PROPN
ap-9324	533	7	,	,	PUNCT
ap-9324	533	8	k.	k.	PROPN
ap-9324	533	9	maleknejad	maleknejad	PROPN
ap-9324	533	10	.	.	PUNCT
ap-9324	534	1	numerical	numerical	ADJ
ap-9324	534	2	solution	solution	NOUN
ap-9324	534	3	of	of	ADP
ap-9324	534	4	delay	delay	NOUN
ap-9324	534	5	integral	integral	ADJ
ap-9324	534	6	equations	equation	NOUN
ap-9324	534	7	by	by	ADP
ap-9324	534	8	using	use	VERB
ap-9324	534	9	block	block	NOUN
ap-9324	534	10	pulse	pulse	NOUN
ap-9324	534	11	functions	function	NOUN
ap-9324	534	12	arises	arise	VERB
ap-9324	534	13	in	in	ADP
ap-9324	534	14	biological	biological	ADJ
ap-9324	534	15	sciences	science	NOUN
ap-9324	534	16	.	.	PUNCT
ap-9324	535	1	international	international	ADJ
ap-9324	535	2	journal	journal	PROPN
ap-9324	535	3	of	of	ADP
ap-9324	535	4	mathematical	mathematical	ADJ
ap-9324	535	5	modelling	modelling	NOUN
ap-9324	535	6	&	&	CCONJ
ap-9324	535	7	computations	computation	NOUN
ap-9324	535	8	6(3):221–232	6(3):221–232	PROPN
ap-9324	535	9	,	,	PUNCT
ap-9324	535	10	2016	2016	NUM
ap-9324	535	11	.	.	PUNCT
ap-9324	536	1	[	[	X
ap-9324	536	2	17	17	NUM
ap-9324	536	3	]	]	X
ap-9324	536	4	f.	f.	PROPN
ap-9324	536	5	toutounian	toutounian	PROPN
ap-9324	536	6	,	,	PUNCT
ap-9324	536	7	e.	e.	PROPN
ap-9324	536	8	tohidi	tohidi	PROPN
ap-9324	536	9	,	,	PUNCT
ap-9324	536	10	a.	a.	NOUN
ap-9324	536	11	kilicman	kilicman	NOUN
ap-9324	536	12	.	.	PUNCT
ap-9324	537	1	fourier	fouri	ADJ
ap-9324	537	2	operational	operational	ADJ
ap-9324	537	3	matrices	matrix	NOUN
ap-9324	537	4	of	of	ADP
ap-9324	537	5	differentiation	differentiation	NOUN
ap-9324	537	6	and	and	CCONJ
ap-9324	537	7	transmission	transmission	NOUN
ap-9324	537	8	:	:	PUNCT
ap-9324	537	9	introduction	introduction	NOUN
ap-9324	537	10	and	and	CCONJ
ap-9324	537	11	applications	application	NOUN
ap-9324	537	12	.	.	PUNCT
ap-9324	538	1	abstract	abstract	ADJ
ap-9324	538	2	and	and	CCONJ
ap-9324	538	3	applied	apply	VERB
ap-9324	538	4	analysis	analysis	NOUN
ap-9324	538	5	2013:198926	2013:198926	NUM
ap-9324	538	6	,	,	PUNCT
ap-9324	538	7	2013	2013	NUM
ap-9324	538	8	.	.	PUNCT
ap-9324	539	1	https://doi.org/10.1155/2013/198926	https://doi.org/10.1155/2013/198926	PROPN
ap-9324	539	2	[	[	X
ap-9324	539	3	18	18	NUM
ap-9324	539	4	]	]	PUNCT
ap-9324	539	5	j.	j.	PROPN
ap-9324	539	6	zhang	zhang	PROPN
ap-9324	539	7	,	,	PUNCT
ap-9324	539	8	y.	y.	PROPN
ap-9324	539	9	li	li	PROPN
ap-9324	539	10	,	,	PUNCT
ap-9324	539	11	j.	j.	PROPN
ap-9324	539	12	xie	xie	PROPN
ap-9324	539	13	.	.	PUNCT
ap-9324	540	1	numerical	numerical	PROPN
ap-9324	540	2	simulation	simulation	PROPN
ap-9324	540	3	of	of	ADP
ap-9324	540	4	fractional	fractional	ADJ
ap-9324	540	5	control	control	NOUN
ap-9324	540	6	system	system	NOUN
ap-9324	540	7	using	use	VERB
ap-9324	540	8	chebyshev	chebyshev	NOUN
ap-9324	540	9	polynomials	polynomial	NOUN
ap-9324	540	10	.	.	PUNCT
ap-9324	541	1	mathematical	mathematical	ADJ
ap-9324	541	2	problems	problem	NOUN
ap-9324	541	3	in	in	ADP
ap-9324	541	4	engineering	engineering	NOUN
ap-9324	541	5	2018:4270764	2018:4270764	NUM
ap-9324	541	6	,	,	PUNCT
ap-9324	541	7	2018	2018	NUM
ap-9324	541	8	.	.	PUNCT
ap-9324	542	1	https://doi.org/10.1155/2018/4270764	https://doi.org/10.1155/2018/4270764	VERB
ap-9324	543	1	[	[	X
ap-9324	543	2	19	19	NUM
ap-9324	543	3	]	]	X
ap-9324	543	4	f.	f.	PROPN
ap-9324	543	5	stenger	stenger	PROPN
ap-9324	543	6	.	.	PUNCT
ap-9324	544	1	numerical	numerical	PROPN
ap-9324	544	2	methods	method	NOUN
ap-9324	544	3	based	base	VERB
ap-9324	544	4	on	on	ADP
ap-9324	544	5	sinc	sinc	ADJ
ap-9324	544	6	and	and	CCONJ
ap-9324	544	7	analytic	analytic	ADJ
ap-9324	544	8	functions	function	NOUN
ap-9324	544	9	,	,	PUNCT
ap-9324	544	10	vol	vol	NOUN
ap-9324	544	11	.	.	PROPN
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ap-9324	544	13	.	.	PUNCT
ap-9324	545	1	springer	springer	PROPN
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ap-9324	545	4	,	,	PUNCT
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ap-9324	545	6	.	.	PUNCT
ap-9324	546	1	isbn	isbn	ADJ
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ap-9324	546	3	-	-	SYM
ap-9324	546	4	1	1	NUM
ap-9324	546	5	-	-	PUNCT
ap-9324	546	6	4612	4612	NUM
ap-9324	546	7	-	-	PUNCT
ap-9324	546	8	7637	7637	NUM
ap-9324	546	9	-	-	SYM
ap-9324	546	10	1	1	NUM
ap-9324	546	11	.	.	PUNCT
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ap-9324	548	3	]	]	PUNCT
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ap-9324	548	9	.	.	PUNCT
ap-9324	548	10	block	block	NOUN
ap-9324	548	11	pulse	pulse	NOUN
ap-9324	548	12	functions	function	NOUN
ap-9324	548	13	and	and	CCONJ
ap-9324	548	14	their	their	PRON
ap-9324	548	15	applications	application	NOUN
ap-9324	548	16	in	in	ADP
ap-9324	548	17	control	control	NOUN
ap-9324	548	18	systems	system	NOUN
ap-9324	548	19	.	.	PUNCT
ap-9324	549	1	springer	springer	NOUN
ap-9324	549	2	-	-	PUNCT
ap-9324	549	3	verlag	verlag	PROPN
ap-9324	549	4	,	,	PUNCT
ap-9324	549	5	berlin	berlin	PROPN
ap-9324	549	6	,	,	PUNCT
ap-9324	549	7	1992	1992	NUM
ap-9324	549	8	.	.	PUNCT
ap-9324	550	1	isbn	isbn	ADJ
ap-9324	550	2	978	978	NUM
ap-9324	550	3	-	-	SYM
ap-9324	550	4	3	3	NUM
ap-9324	550	5	-	-	PUNCT
ap-9324	550	6	540	540	NUM
ap-9324	550	7	-	-	PUNCT
ap-9324	550	8	55369	55369	NUM
ap-9324	550	9	-	-	PUNCT
ap-9324	550	10	4	4	NUM
ap-9324	550	11	.	.	PUNCT
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ap-9324	551	1	[	[	X
ap-9324	551	2	21	21	NUM
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ap-9324	551	4	g.	g.	PROPN
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ap-9324	551	7	.	.	PUNCT
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ap-9324	552	5	and	and	CCONJ
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ap-9324	552	12	.	.	PUNCT
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ap-9324	553	2	-	-	PUNCT
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ap-9324	553	4	,	,	PUNCT
ap-9324	553	5	berlin	berlin	PROPN
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ap-9324	553	7	1983	1983	NUM
ap-9324	553	8	.	.	PUNCT
ap-9324	554	1	isbn	isbn	ADJ
ap-9324	554	2	978	978	NUM
ap-9324	554	3	-	-	SYM
ap-9324	554	4	3	3	NUM
ap-9324	554	5	-	-	PUNCT
ap-9324	554	6	540	540	NUM
ap-9324	554	7	-	-	PUNCT
ap-9324	554	8	12556	12556	NUM
ap-9324	554	9	-	-	SYM
ap-9324	554	10	3	3	NUM
ap-9324	554	11	.	.	PUNCT
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ap-9324	555	4	f.	f.	PROPN
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ap-9324	555	6	klebaner	klebaner	PROPN
ap-9324	555	7	.	.	PUNCT
ap-9324	556	1	introduction	introduction	NOUN
ap-9324	556	2	to	to	ADP
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ap-9324	556	4	calculus	calculus	NOUN
ap-9324	556	5	with	with	ADP
ap-9324	556	6	applications	application	NOUN
ap-9324	556	7	.	.	PUNCT
ap-9324	557	1	imperial	imperial	ADJ
ap-9324	557	2	college	college	PROPN
ap-9324	557	3	press	press	NOUN
ap-9324	557	4	,	,	PUNCT
ap-9324	557	5	3rd	3rd	ADJ
ap-9324	557	6	edn	edn	NOUN
ap-9324	557	7	.	.	PUNCT
ap-9324	557	8	,	,	PUNCT
ap-9324	557	9	2012	2012	NUM
ap-9324	557	10	.	.	PUNCT
ap-9324	558	1	isbn	isbn	ADJ
ap-9324	558	2	978	978	NUM
ap-9324	558	3	-	-	SYM
ap-9324	558	4	1	1	NUM
ap-9324	558	5	-	-	PUNCT
ap-9324	558	6	84816	84816	NUM
ap-9324	558	7	-	-	PUNCT
ap-9324	558	8	831	831	NUM
ap-9324	558	9	-	-	PUNCT
ap-9324	558	10	2	2	NUM
ap-9324	558	11	.	.	PUNCT
ap-9324	559	1	https://doi.org/10.1142/p821	https://doi.org/10.1142/p821	NOUN
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ap-9324	559	4	]	]	PUNCT
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ap-9324	559	6	khodabin	khodabin	PROPN
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ap-9324	559	8	k.	k.	PROPN
ap-9324	559	9	maleknejad	maleknejad	PROPN
ap-9324	559	10	,	,	PUNCT
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ap-9324	559	12	rostami	rostami	PROPN
ap-9324	559	13	,	,	PUNCT
ap-9324	559	14	m.	m.	PROPN
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ap-9324	560	1	numerical	numerical	ADJ
ap-9324	560	2	approach	approach	NOUN
ap-9324	560	3	for	for	ADP
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ap-9324	560	5	stochastic	stochastic	ADJ
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ap-9324	560	7	-	-	PUNCT
ap-9324	560	8	fredholm	fredholm	NOUN
ap-9324	560	9	integral	integral	ADJ
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ap-9324	560	12	stochastic	stochastic	ADJ
ap-9324	560	13	operational	operational	ADJ
ap-9324	560	14	matrix	matrix	NOUN
ap-9324	560	15	.	.	PUNCT
ap-9324	561	1	computers	computer	NOUN
ap-9324	561	2	&	&	CCONJ
ap-9324	561	3	mathematics	mathematics	PROPN
ap-9324	561	4	with	with	ADP
ap-9324	561	5	applications	application	NOUN
ap-9324	561	6	64(6):1903–1913	64(6):1903–1913	NUM
ap-9324	561	7	,	,	PUNCT
ap-9324	561	8	2012	2012	NUM
ap-9324	561	9	.	.	PUNCT
ap-9324	562	1	https://doi.org/10.1016/j.camwa.2012.03.042	https://doi.org/10.1016/j.camwa.2012.03.042	NUM
ap-9324	562	2	[	[	X
ap-9324	562	3	24	24	NUM
ap-9324	562	4	]	]	PUNCT
ap-9324	562	5	m.	m.	NOUN
ap-9324	562	6	a.	a.	PROPN
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ap-9324	562	8	,	,	PUNCT
ap-9324	562	9	h.	h.	PROPN
ap-9324	562	10	k.	k.	PROPN
ap-9324	562	11	jassim	jassim	PROPN
ap-9324	562	12	.	.	PUNCT
ap-9324	563	1	analysis	analysis	NOUN
ap-9324	563	2	of	of	ADP
ap-9324	563	3	fractional	fractional	ADJ
ap-9324	563	4	differential	differential	ADJ
ap-9324	563	5	equations	equation	NOUN
ap-9324	563	6	with	with	ADP
ap-9324	563	7	antagana	antagana	PROPN
ap-9324	563	8	-	-	PUNCT
ap-9324	563	9	baleanu	baleanu	ADJ
ap-9324	563	10	fractional	fractional	ADJ
ap-9324	563	11	operator	operator	NOUN
ap-9324	563	12	.	.	PUNCT
ap-9324	564	1	progress	progress	NOUN
ap-9324	564	2	in	in	ADP
ap-9324	564	3	fractional	fractional	ADJ
ap-9324	564	4	differentiation	differentiation	NOUN
ap-9324	564	5	and	and	CCONJ
ap-9324	564	6	applications	application	NOUN
ap-9324	564	7	9(4):681–686	9(4):681–686	NUM
ap-9324	564	8	,	,	PUNCT
ap-9324	564	9	2023	2023	NUM
ap-9324	564	10	.	.	PUNCT
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ap-9324	566	2	25	25	NUM
ap-9324	566	3	]	]	PUNCT
ap-9324	566	4	h.	h.	PROPN
ap-9324	566	5	k.	k.	PROPN
ap-9324	566	6	jassim	jassim	PROPN
ap-9324	566	7	,	,	PUNCT
ap-9324	566	8	m.	m.	NOUN
ap-9324	566	9	a.	a.	PROPN
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ap-9324	566	11	,	,	PUNCT
ap-9324	566	12	m.	m.	PROPN
ap-9324	566	13	r.	r.	PROPN
ap-9324	566	14	ali	ali	PROPN
ap-9324	566	15	.	.	PUNCT
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ap-9324	567	2	efficient	efficient	ADJ
ap-9324	567	3	homotopy	homotopy	NOUN
ap-9324	567	4	permutation	permutation	NOUN
ap-9324	567	5	technique	technique	NOUN
ap-9324	567	6	for	for	ADP
ap-9324	567	7	solving	solve	VERB
ap-9324	567	8	fractional	fractional	ADJ
ap-9324	567	9	differential	differential	ADJ
ap-9324	567	10	equations	equation	NOUN
ap-9324	567	11	using	use	VERB
ap-9324	567	12	atangana	atangana	PROPN
ap-9324	567	13	-	-	PUNCT
ap-9324	567	14	baleanu	baleanu	PROPN
ap-9324	567	15	-	-	PUNCT
ap-9324	567	16	caputo	caputo	NOUN
ap-9324	567	17	operator	operator	NOUN
ap-9324	567	18	.	.	PUNCT
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ap-9324	568	5	,	,	PUNCT
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ap-9324	570	2	26	26	NUM
ap-9324	570	3	]	]	PUNCT
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ap-9324	571	7	equations	equation	NOUN
ap-9324	571	8	with	with	ADP
ap-9324	571	9	delay	delay	NOUN
ap-9324	571	10	arguments	argument	NOUN
ap-9324	571	11	.	.	PUNCT
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ap-9324	572	2	communications	communication	NOUN
ap-9324	572	3	4(1):93–109	4(1):93–109	NUM
ap-9324	572	4	,	,	PUNCT
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ap-9324	572	6	.	.	PUNCT
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ap-9324	573	2	27	27	NUM
ap-9324	573	3	]	]	PUNCT
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ap-9324	573	7	m.	m.	NOUN
ap-9324	573	8	otadi	otadi	NOUN
ap-9324	573	9	.	.	PUNCT
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ap-9324	574	4	method	method	NOUN
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ap-9324	574	6	the	the	DET
ap-9324	574	7	solution	solution	NOUN
ap-9324	574	8	of	of	ADP
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ap-9324	574	10	-	-	PUNCT
ap-9324	574	11	volterra	volterra	PROPN
ap-9324	574	12	delay	delay	VERB
ap-9324	574	13	integral	integral	ADJ
ap-9324	574	14	equations	equation	NOUN
ap-9324	574	15	.	.	PUNCT
ap-9324	575	1	applied	apply	VERB
ap-9324	575	2	mathematics	mathematic	NOUN
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ap-9324	575	4	computation	computation	NOUN
ap-9324	575	5	258:105–110	258:105–110	NUM
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ap-9324	575	8	.	.	PUNCT
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ap-9324	577	2	28	28	NUM
ap-9324	577	3	]	]	X
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ap-9324	577	5	.	.	PUNCT
ap-9324	578	1	he	he	PRON
ap-9324	578	2	,	,	PUNCT
ap-9324	578	3	m.	m.	PROPN
ap-9324	578	4	h.	h.	PROPN
ap-9324	578	5	taha	taha	PROPN
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ap-9324	578	8	a.	a.	PROPN
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ap-9324	578	10	,	,	PUNCT
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ap-9324	578	12	m.	m.	PROPN
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ap-9324	578	16	block	block	NOUN
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ap-9324	578	18	pulse	pulse	NOUN
ap-9324	578	19	functions	function	NOUN
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ap-9324	578	21	numerical	numerical	ADJ
ap-9324	578	22	solution	solution	NOUN
ap-9324	578	23	of	of	ADP
ap-9324	578	24	mixed	mixed	ADJ
ap-9324	578	25	volterra	volterra	NOUN
ap-9324	578	26	-	-	PUNCT
ap-9324	578	27	fredholm	fredholm	NOUN
ap-9324	578	28	integral	integral	ADJ
ap-9324	578	29	equations	equation	NOUN
ap-9324	578	30	.	.	PUNCT
ap-9324	579	1	axioms	axiom	VERB
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ap-9324	579	3	,	,	PUNCT
ap-9324	579	4	2021	2021	NUM
ap-9324	579	5	.	.	PUNCT
ap-9324	580	1	https://doi.org/10.3390/axioms10030200	https://doi.org/10.3390/axioms10030200	PROPN
ap-9324	580	2	141	141	NUM
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ap-9324	580	4	https://doi.org/10.4134/jkms.2012.49.6.1301	https://doi.org/10.4134/jkms.2012.49.6.1301	PROPN
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ap-9324	580	13	https://doi.org/10.1007/bfb0009162	https://doi.org/10.1007/bfb0009162	PROPN
ap-9324	580	14	https://doi.org/10.1007/bfb0041228	https://doi.org/10.1007/bfb0041228	PROPN
ap-9324	580	15	https://doi.org/10.1142/p821	https://doi.org/10.1142/p821	PROPN
ap-9324	580	16	https://doi.org/10.1016/j.camwa.2012.03.042	https://doi.org/10.1016/j.camwa.2012.03.042	PROPN
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ap-9324	580	19	https://doi.org/10.1016/j.amc.2015.01.100	https://doi.org/10.1016/j.amc.2015.01.100	PROPN
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ap-9324	580	21	acta	acta	PROPN
ap-9324	580	22	polytechnica	polytechnica	PROPN
ap-9324	580	23	64(2):128–141	64(2):128–141	PROPN
ap-9324	580	24	,	,	PUNCT
ap-9324	580	25	2024	2024	NUM
ap-9324	580	26	1	1	NUM
ap-9324	580	27	introduction	introduction	NOUN
ap-9324	580	28	2	2	NUM
ap-9324	580	29	block	block	NOUN
ap-9324	580	30	-	-	PUNCT
ap-9324	580	31	pulse	pulse	NOUN
ap-9324	580	32	functions	function	NOUN
ap-9324	580	33	(	(	PUNCT
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ap-9324	580	35	)	)	PUNCT
ap-9324	580	36	2.1	2.1	NUM
ap-9324	580	37	functions	function	NOUN
ap-9324	580	38	approximation	approximation	VERB
ap-9324	580	39	2.2	2.2	NUM
ap-9324	580	40	integration	integration	NOUN
ap-9324	580	41	operational	operational	ADJ
ap-9324	580	42	matrix	matrix	NOUN
ap-9324	580	43	2.3	2.3	NUM
ap-9324	580	44	the	the	DET
ap-9324	580	45	operational	operational	ADJ
ap-9324	580	46	matrix	matrix	NOUN
ap-9324	580	47	with	with	ADP
ap-9324	580	48	time	time	NOUN
ap-9324	580	49	delay	delay	NOUN
ap-9324	580	50	of	of	ADP
ap-9324	580	51	bpfs	bpfs	PROPN
ap-9324	580	52	3	3	NUM
ap-9324	580	53	stochastic	stochastic	NOUN
ap-9324	580	54	integration	integration	NOUN
ap-9324	580	55	operational	operational	ADJ
ap-9324	580	56	matrix	matrix	NOUN
ap-9324	580	57	4	4	NUM
ap-9324	580	58	solving	solve	VERB
ap-9324	580	59	stochastic	stochastic	ADJ
ap-9324	580	60	volterra	volterra	NOUN
ap-9324	580	61	-	-	PUNCT
ap-9324	580	62	fredholm	fredholm	NOUN
ap-9324	580	63	integral	integral	ADJ
ap-9324	580	64	equations	equation	NOUN
ap-9324	580	65	with	with	ADP
ap-9324	580	66	time	time	NOUN
ap-9324	580	67	delay	delay	NOUN
ap-9324	580	68	5	5	NUM
ap-9324	580	69	error	error	NOUN
ap-9324	580	70	estimation	estimation	NOUN
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ap-9324	580	72	rate	rate	NOUN
ap-9324	580	73	of	of	ADP
ap-9324	580	74	convergence	convergence	NOUN
ap-9324	580	75	6	6	NUM
ap-9324	580	76	numerical	numerical	ADJ
ap-9324	580	77	examples	example	NOUN
ap-9324	580	78	7	7	NUM
ap-9324	580	79	conclusion	conclusion	NOUN
ap-9324	580	80	acknowledgements	acknowledgement	NOUN
ap-9324	580	81	references	reference	NOUN