id	sid	tid	token	lemma	pos
ap-328	1	1	ap02_02.vp	ap02_02.vp	PROPN
ap-328	1	2	1	1	NUM
ap-328	1	3	introduction	introduction	NOUN
ap-328	1	4	nominally	nominally	ADV
ap-328	1	5	flat	flat	ADJ
ap-328	1	6	surfaces	surface	NOUN
ap-328	1	7	are	be	AUX
ap-328	1	8	widely	widely	ADV
ap-328	1	9	used	use	VERB
ap-328	1	10	in	in	ADP
ap-328	1	11	practice	practice	NOUN
ap-328	1	12	.	.	PUNCT
ap-328	2	1	these	these	PRON
ap-328	2	2	can	can	AUX
ap-328	2	3	be	be	AUX
ap-328	2	4	mathematically	mathematically	ADV
ap-328	2	5	described	describe	VERB
ap-328	2	6	by	by	ADP
ap-328	2	7	the	the	DET
ap-328	2	8	composition	composition	NOUN
ap-328	2	9	of	of	ADP
ap-328	2	10	the	the	DET
ap-328	2	11	deterministic	deterministic	ADJ
ap-328	2	12	and	and	CCONJ
ap-328	2	13	random	random	ADJ
ap-328	2	14	components	component	NOUN
ap-328	2	15	of	of	ADP
ap-328	2	16	irregularities	irregularity	NOUN
ap-328	2	17	in	in	ADP
ap-328	2	18	the	the	DET
ap-328	2	19	given	give	VERB
ap-328	2	20	cartesian	cartesian	ADJ
ap-328	2	21	coordinate	coordinate	NOUN
ap-328	2	22	system	system	NOUN
ap-328	2	23	:	:	PUNCT
ap-328	2	24	�	�	PROPN
ap-328	2	25	�	�	PROPN
ap-328	2	26	�	�	PROPN
ap-328	2	27	�	�	PROPN
ap-328	2	28	�	�	PROPN
ap-328	2	29	�	�	PROPN
ap-328	2	30	h	h	NOUN
ap-328	2	31	x	x	X
ap-328	3	1	y	y	PROPN
ap-328	3	2	s	s	NOUN
ap-328	3	3	x	x	VERB
ap-328	3	4	y	y	PROPN
ap-328	3	5	x	x	SYM
ap-328	3	6	y	y	PROPN
ap-328	3	7	,	,	PUNCT
ap-328	3	8	,	,	PUNCT
ap-328	3	9	,	,	PUNCT
ap-328	3	10	�	�	PROPN
ap-328	3	11	�	�	PROPN
ap-328	3	12	�	�	PROPN
ap-328	3	13	(	(	PUNCT
ap-328	3	14	1	1	NUM
ap-328	3	15	)	)	PUNCT
ap-328	3	16	where	where	SCONJ
ap-328	3	17	s(x	s(x	PROPN
ap-328	3	18	,	,	PUNCT
ap-328	3	19	y	y	PROPN
ap-328	3	20	)	)	PUNCT
ap-328	3	21	is	be	AUX
ap-328	3	22	the	the	DET
ap-328	3	23	deterministic	deterministic	ADJ
ap-328	3	24	function	function	NOUN
ap-328	3	25	of	of	ADP
ap-328	3	26	the	the	DET
ap-328	3	27	surface	surface	NOUN
ap-328	3	28	(	(	PUNCT
ap-328	3	29	x	x	NOUN
ap-328	3	30	,	,	PUNCT
ap-328	3	31	y	y	NOUN
ap-328	3	32	)	)	PUNCT
ap-328	3	33	coordinates	coordinate	NOUN
ap-328	3	34	and	and	CCONJ
ap-328	3	35	�	�	PROPN
ap-328	3	36	(	(	PUNCT
ap-328	3	37	x	x	NOUN
ap-328	3	38	,	,	PUNCT
ap-328	3	39	y	y	PROPN
ap-328	3	40	)	)	PUNCT
ap-328	3	41	is	be	AUX
ap-328	3	42	the	the	DET
ap-328	3	43	homogeneous	homogeneous	ADJ
ap-328	3	44	random	random	ADJ
ap-328	3	45	normal	normal	ADJ
ap-328	3	46	field	field	NOUN
ap-328	3	47	.	.	PUNCT
ap-328	4	1	the	the	DET
ap-328	4	2	parameters	parameter	NOUN
ap-328	4	3	of	of	ADP
ap-328	4	4	surface	surface	NOUN
ap-328	4	5	irregularities	irregularity	NOUN
ap-328	4	6	measured	measure	VERB
ap-328	4	7	over	over	ADP
ap-328	4	8	the	the	DET
ap-328	4	9	whole	whole	ADJ
ap-328	4	10	surface	surface	NOUN
ap-328	4	11	(	(	PUNCT
ap-328	4	12	the	the	DET
ap-328	4	13	topographic	topographic	ADJ
ap-328	4	14	parameters	parameter	NOUN
ap-328	4	15	)	)	PUNCT
ap-328	4	16	characterize	characterize	VERB
ap-328	4	17	more	more	ADJ
ap-328	4	18	positively	positively	ADV
ap-328	4	19	the	the	DET
ap-328	4	20	functional	functional	ADJ
ap-328	4	21	properties	property	NOUN
ap-328	4	22	of	of	ADP
ap-328	4	23	the	the	DET
ap-328	4	24	surface	surface	NOUN
ap-328	4	25	than	than	ADP
ap-328	4	26	the	the	DET
ap-328	4	27	h	h	NOUN
ap-328	4	28	profile	profile	PROPN
ap-328	4	29	parameters	parameter	NOUN
ap-328	4	30	.	.	PUNCT
ap-328	5	1	surface	surface	NOUN
ap-328	5	2	deviations	deviation	NOUN
ap-328	5	3	are	be	AUX
ap-328	5	4	functions	function	NOUN
ap-328	5	5	of	of	ADP
ap-328	5	6	two	two	NUM
ap-328	5	7	coordinates	coordinate	NOUN
ap-328	5	8	(	(	PUNCT
ap-328	5	9	x	x	X
ap-328	5	10	,	,	PUNCT
ap-328	5	11	y	y	PROPN
ap-328	5	12	)	)	PUNCT
ap-328	5	13	and	and	CCONJ
ap-328	5	14	therefore	therefore	ADV
ap-328	5	15	the	the	DET
ap-328	5	16	profile	profile	NOUN
ap-328	5	17	evaluation	evaluation	NOUN
ap-328	5	18	gives	give	VERB
ap-328	5	19	incomplete	incomplete	ADJ
ap-328	5	20	information	information	NOUN
ap-328	5	21	about	about	ADP
ap-328	5	22	the	the	DET
ap-328	5	23	surface	surface	NOUN
ap-328	5	24	.	.	PUNCT
ap-328	6	1	2	2	NUM
ap-328	6	2	surface	surface	NOUN
ap-328	6	3	topography	topography	NOUN
ap-328	6	4	parameter	parameter	NOUN
ap-328	6	5	measurement	measurement	NOUN
ap-328	6	6	for	for	ADP
ap-328	6	7	surface	surface	NOUN
ap-328	6	8	topography	topography	NOUN
ap-328	6	9	parameter	parameter	NOUN
ap-328	6	10	measurement	measurement	NOUN
ap-328	6	11	it	it	PRON
ap-328	6	12	is	be	AUX
ap-328	6	13	necessary	necessary	ADJ
ap-328	6	14	to	to	PART
ap-328	6	15	determine	determine	VERB
ap-328	6	16	the	the	DET
ap-328	6	17	actual	actual	ADJ
ap-328	6	18	value	value	NOUN
ap-328	6	19	of	of	ADP
ap-328	6	20	the	the	DET
ap-328	6	21	parameter	parameter	NOUN
ap-328	6	22	and	and	CCONJ
ap-328	6	23	to	to	PART
ap-328	6	24	know	know	VERB
ap-328	6	25	the	the	DET
ap-328	6	26	accuracy	accuracy	NOUN
ap-328	6	27	of	of	ADP
ap-328	6	28	the	the	DET
ap-328	6	29	measurements	measurement	NOUN
ap-328	6	30	.	.	PUNCT
ap-328	7	1	in	in	ADP
ap-328	7	2	this	this	DET
ap-328	7	3	case	case	NOUN
ap-328	7	4	the	the	DET
ap-328	7	5	analogue	analogue	NOUN
ap-328	7	6	mean	mean	NOUN
ap-328	7	7	value	value	NOUN
ap-328	7	8	is	be	AUX
ap-328	7	9	taken	take	VERB
ap-328	7	10	for	for	ADP
ap-328	7	11	the	the	DET
ap-328	7	12	actual	actual	ADJ
ap-328	7	13	value	value	NOUN
ap-328	7	14	of	of	ADP
ap-328	7	15	the	the	DET
ap-328	7	16	parameter	parameter	NOUN
ap-328	7	17	,	,	PUNCT
ap-328	7	18	and[s	and[s	VERB
ap-328	7	19	]	]	PUNCT
ap-328	7	20	the	the	DET
ap-328	7	21	measurement	measurement	NOUN
ap-328	7	22	error	error	NOUN
ap-328	7	23	is	be	AUX
ap-328	7	24	determined	determine	VERB
ap-328	7	25	by	by	ADP
ap-328	7	26	the	the	DET
ap-328	7	27	systematic	systematic	ADJ
ap-328	7	28	and	and	CCONJ
ap-328	7	29	random	random	ADJ
ap-328	7	30	components	component	NOUN
ap-328	7	31	.	.	PUNCT
ap-328	8	1	the	the	DET
ap-328	8	2	series	series	NOUN
ap-328	8	3	of	of	ADP
ap-328	8	4	the	the	DET
ap-328	8	5	surface	surface	NOUN
ap-328	8	6	topographic	topographic	PROPN
ap-328	8	7	parameters	parameter	NOUN
ap-328	8	8	can	can	AUX
ap-328	8	9	be	be	AUX
ap-328	8	10	represented	represent	VERB
ap-328	8	11	as	as	ADP
ap-328	8	12	an	an	DET
ap-328	8	13	averaging	averaging	NOUN
ap-328	8	14	operator	operator	NOUN
ap-328	8	15	of	of	ADP
ap-328	8	16	the	the	DET
ap-328	8	17	generalized	generalized	ADJ
ap-328	8	18	transformation	transformation	NOUN
ap-328	8	19	g{h(x	g{h(x	PROPN
ap-328	8	20	,	,	PUNCT
ap-328	8	21	y	y	PROPN
ap-328	8	22	)	)	PUNCT
ap-328	8	23	}	}	PUNCT
ap-328	8	24	of	of	ADP
ap-328	8	25	the	the	DET
ap-328	8	26	surface	surface	NOUN
ap-328	8	27	coordinates	coordinate	NOUN
ap-328	8	28	on	on	ADP
ap-328	8	29	the	the	DET
ap-328	8	30	given	give	VERB
ap-328	8	31	rectangular	rectangular	ADJ
ap-328	8	32	area	area	NOUN
ap-328	8	33	of	of	ADP
ap-328	8	34	the	the	DET
ap-328	8	35	surface	surface	NOUN
ap-328	8	36	l1	l1	PROPN
ap-328	8	37	×	×	PROPN
ap-328	8	38	l2	l2	NOUN
ap-328	8	39	with	with	ADP
ap-328	8	40	sides	side	NOUN
ap-328	8	41	l1	l1	PROPN
ap-328	8	42	and	and	CCONJ
ap-328	8	43	l2	l2	NOUN
ap-328	8	44	[	[	X
ap-328	8	45	1	1	NUM
ap-328	8	46	]	]	X
ap-328	8	47	:	:	PUNCT
ap-328	8	48	�	�	PROPN
ap-328	8	49	�	�	PROPN
ap-328	8	50	�	�	PROPN
ap-328	8	51	�	�	PROPN
ap-328	8	52	p	p	PROPN
ap-328	8	53	l	l	NOUN
ap-328	8	54	l	l	NOUN
ap-328	9	1	g	g	NOUN
ap-328	10	1	h	h	NOUN
ap-328	10	2	x	x	VERB
ap-328	10	3	y	y	NOUN
ap-328	10	4	x	x	PUNCT
ap-328	10	5	ys	ys	PROPN
ap-328	10	6	ll	ll	PROPN
ap-328	10	7	�	�	PROPN
ap-328	10	8	�	�	PROPN
ap-328	10	9	�	�	PROPN
ap-328	10	10	1	1	NUM
ap-328	10	11	1	1	NUM
ap-328	10	12	2	2	NUM
ap-328	10	13	00	00	NUM
ap-328	10	14	21	21	NUM
ap-328	10	15	,	,	PUNCT
ap-328	10	16	d	d	PROPN
ap-328	10	17	d	d	X
ap-328	10	18	(	(	PUNCT
ap-328	10	19	2	2	NUM
ap-328	10	20	)	)	PUNCT
ap-328	10	21	since	since	SCONJ
ap-328	10	22	there	there	PRON
ap-328	10	23	is	be	VERB
ap-328	10	24	a	a	DET
ap-328	10	25	random	random	ADJ
ap-328	10	26	component	component	NOUN
ap-328	10	27	on	on	ADP
ap-328	10	28	the	the	DET
ap-328	10	29	measured	measured	ADJ
ap-328	10	30	surface	surface	NOUN
ap-328	10	31	,	,	PUNCT
ap-328	10	32	the	the	DET
ap-328	10	33	topographic	topographic	ADJ
ap-328	10	34	parameter	parameter	NOUN
ap-328	10	35	measured	measure	VERB
ap-328	10	36	is	be	AUX
ap-328	10	37	a	a	DET
ap-328	10	38	random	random	ADJ
ap-328	10	39	value	value	NOUN
ap-328	10	40	,	,	PUNCT
ap-328	10	41	which	which	PRON
ap-328	10	42	is	be	AUX
ap-328	10	43	characterized	characterize	VERB
ap-328	10	44	by	by	ADP
ap-328	10	45	the	the	DET
ap-328	10	46	mathematical	mathematical	ADJ
ap-328	10	47	expectation	expectation	NOUN
ap-328	10	48	e(ps	e(p	NOUN
ap-328	10	49	)	)	PUNCT
ap-328	10	50	and	and	CCONJ
ap-328	10	51	the	the	DET
ap-328	10	52	variance	variance	NOUN
ap-328	10	53	d(ps	d(ps	PROPN
ap-328	10	54	)	)	PUNCT
ap-328	10	55	.	.	PUNCT
ap-328	11	1	therefore	therefore	ADV
ap-328	11	2	,	,	PUNCT
ap-328	11	3	one	one	NUM
ap-328	11	4	of	of	ADP
ap-328	11	5	the	the	DET
ap-328	11	6	problems	problem	NOUN
ap-328	11	7	in	in	ADP
ap-328	11	8	measuring	measure	VERB
ap-328	11	9	the	the	DET
ap-328	11	10	topographic	topographic	ADJ
ap-328	11	11	parameter	parameter	NOUN
ap-328	11	12	is	be	AUX
ap-328	11	13	the	the	DET
ap-328	11	14	determination	determination	NOUN
ap-328	11	15	of	of	ADP
ap-328	11	16	its	its	PRON
ap-328	11	17	probability	probability	NOUN
ap-328	11	18	characteristics	characteristic	NOUN
ap-328	11	19	,	,	PUNCT
ap-328	11	20	i.e.	i.e.	X
ap-328	11	21	,	,	PUNCT
ap-328	11	22	the	the	DET
ap-328	11	23	mathematical	mathematical	ADJ
ap-328	11	24	expectation	expectation	NOUN
ap-328	11	25	e(ps	e(p	NOUN
ap-328	11	26	)	)	PUNCT
ap-328	11	27	and	and	CCONJ
ap-328	11	28	the	the	DET
ap-328	11	29	variance	variance	NOUN
ap-328	11	30	d(ps	d(ps	PROPN
ap-328	11	31	)	)	PUNCT
ap-328	11	32	.	.	PUNCT
ap-328	12	1	it	it	PRON
ap-328	12	2	is	be	AUX
ap-328	12	3	known	know	VERB
ap-328	12	4	that	that	SCONJ
ap-328	12	5	the	the	DET
ap-328	12	6	mathematical	mathematical	ADJ
ap-328	12	7	expectation	expectation	NOUN
ap-328	12	8	of	of	ADP
ap-328	12	9	the	the	DET
ap-328	12	10	parameters	parameter	NOUN
ap-328	12	11	given	give	VERB
ap-328	12	12	by	by	ADP
ap-328	12	13	equation	equation	NOUN
ap-328	12	14	(	(	PUNCT
ap-328	12	15	2	2	X
ap-328	12	16	)	)	PUNCT
ap-328	12	17	can	can	AUX
ap-328	12	18	be	be	AUX
ap-328	12	19	derived	derive	VERB
ap-328	12	20	by	by	ADP
ap-328	12	21	integration	integration	NOUN
ap-328	12	22	of	of	ADP
ap-328	12	23	the	the	DET
ap-328	12	24	mathematical	mathematical	ADJ
ap-328	12	25	expectation	expectation	NOUN
ap-328	12	26	e(g	e(g	PROPN
ap-328	12	27	)	)	PUNCT
ap-328	12	28	of	of	ADP
ap-328	12	29	the	the	DET
ap-328	12	30	transformation	transformation	NOUN
ap-328	12	31	g{h(x	g{h(x	PROPN
ap-328	12	32	,	,	PUNCT
ap-328	12	33	y	y	PROPN
ap-328	12	34	)	)	PUNCT
ap-328	12	35	}	}	PUNCT
ap-328	12	36	in	in	ADP
ap-328	12	37	equation	equation	NOUN
ap-328	12	38	(	(	PUNCT
ap-328	12	39	2	2	NUM
ap-328	12	40	)	)	PUNCT
ap-328	12	41	by	by	ADP
ap-328	12	42	the	the	DET
ap-328	12	43	x	x	PROPN
ap-328	12	44	and	and	CCONJ
ap-328	12	45	y	y	PROPN
ap-328	12	46	variables	variable	NOUN
ap-328	12	47	.	.	PUNCT
ap-328	13	1	as	as	ADP
ap-328	13	2	an	an	DET
ap-328	13	3	example	example	NOUN
ap-328	13	4	of	of	ADP
ap-328	13	5	the	the	DET
ap-328	13	6	application	application	NOUN
ap-328	13	7	e(g	e(g	PROPN
ap-328	13	8	)	)	PUNCT
ap-328	13	9	of	of	ADP
ap-328	13	10	the	the	DET
ap-328	13	11	transformation	transformation	NOUN
ap-328	13	12	g{h(x	g{h(x	PROPN
ap-328	13	13	,	,	PUNCT
ap-328	13	14	y	y	PROPN
ap-328	13	15	)	)	PUNCT
ap-328	13	16	}	}	PUNCT
ap-328	13	17	in	in	ADP
ap-328	13	18	equation	equation	NOUN
ap-328	13	19	(	(	PUNCT
ap-328	13	20	2	2	NUM
ap-328	13	21	)	)	PUNCT
ap-328	13	22	by	by	ADP
ap-328	13	23	the	the	DET
ap-328	13	24	x	x	PROPN
ap-328	13	25	and	and	CCONJ
ap-328	13	26	y	y	PROPN
ap-328	13	27	variables	variable	NOUN
ap-328	13	28	.	.	PUNCT
ap-328	14	1	as	as	ADP
ap-328	14	2	an	an	DET
ap-328	14	3	example	example	NOUN
ap-328	14	4	of	of	ADP
ap-328	14	5	the	the	DET
ap-328	14	6	application	application	NOUN
ap-328	14	7	of	of	ADP
ap-328	14	8	measuring	measure	VERB
ap-328	14	9	methods	method	NOUN
ap-328	14	10	of	of	ADP
ap-328	14	11	the	the	DET
ap-328	14	12	topographic	topographic	ADJ
ap-328	14	13	parameters	parameter	NOUN
ap-328	14	14	the	the	DET
ap-328	14	15	ps	ps	PROPN
ap-328	14	16	�	�	PROPN
ap-328	14	17	ras	ras	PROPN
ap-328	14	18	parameter	parameter	NOUN
ap-328	14	19	is	be	AUX
ap-328	14	20	used	use	VERB
ap-328	14	21	.	.	PUNCT
ap-328	15	1	this	this	PRON
ap-328	15	2	is	be	AUX
ap-328	15	3	the	the	DET
ap-328	15	4	arithmetic	arithmetic	ADJ
ap-328	15	5	mean	mean	NOUN
ap-328	15	6	deviation	deviation	NOUN
ap-328	15	7	of	of	ADP
ap-328	15	8	the	the	DET
ap-328	15	9	surface	surface	NOUN
ap-328	15	10	coordinates	coordinate	NOUN
ap-328	15	11	of	of	ADP
ap-328	15	12	the	the	DET
ap-328	15	13	mean	mean	ADJ
ap-328	15	14	plane	plane	NOUN
ap-328	15	15	.	.	PUNCT
ap-328	16	1	�	�	PROPN
ap-328	16	2	�	�	PROPN
ap-328	16	3	�	�	PROPN
ap-328	16	4	�	�	PROPN
ap-328	16	5	�	�	PROPN
ap-328	16	6	�	�	PROPN
ap-328	16	7	e	e	NOUN
ap-328	16	8	r	r	NOUN
ap-328	16	9	l	l	NOUN
ap-328	16	10	l	l	NOUN
ap-328	16	11	e	e	NOUN
ap-328	16	12	h	h	NOUN
ap-328	16	13	x	x	VERB
ap-328	16	14	y	y	NOUN
ap-328	16	15	x	x	SYM
ap-328	16	16	y	y	NOUN
ap-328	16	17	ll	ll	AUX
ap-328	16	18	as	as	ADP
ap-328	16	19	d	d	PROPN
ap-328	16	20	d	d	PROPN
ap-328	16	21	�	�	PROPN
ap-328	16	22	�	�	PROPN
ap-328	16	23	�	�	PROPN
ap-328	16	24	1	1	NUM
ap-328	16	25	1	1	NUM
ap-328	16	26	2	2	NUM
ap-328	16	27	00	00	NUM
ap-328	16	28	21	21	NUM
ap-328	16	29	,	,	PUNCT
ap-328	16	30	(	(	PUNCT
ap-328	16	31	3	3	X
ap-328	16	32	)	)	PUNCT
ap-328	16	33	where	where	SCONJ
ap-328	16	34	�	�	PROPN
ap-328	16	35	�	�	PROPN
ap-328	16	36	h	h	NOUN
ap-328	16	37	x	x	SYM
ap-328	16	38	y	y	NOUN
ap-328	16	39	,	,	PUNCT
ap-328	16	40	is	be	AUX
ap-328	16	41	the	the	DET
ap-328	16	42	absolute	absolute	ADJ
ap-328	16	43	value	value	NOUN
ap-328	16	44	of	of	ADP
ap-328	16	45	the	the	DET
ap-328	16	46	h(x	h(x	PROPN
ap-328	16	47	,	,	PUNCT
ap-328	16	48	y	y	NOUN
ap-328	16	49	)	)	PUNCT
ap-328	16	50	surface	surface	NOUN
ap-328	16	51	coordinate	coordinate	NOUN
ap-328	16	52	.	.	PUNCT
ap-328	17	1	this	this	DET
ap-328	17	2	expression	expression	NOUN
ap-328	17	3	can	can	AUX
ap-328	17	4	also	also	ADV
ap-328	17	5	be	be	AUX
ap-328	17	6	extended	extend	VERB
ap-328	17	7	for	for	ADP
ap-328	17	8	the	the	DET
ap-328	17	9	h(x	h(x	PROPN
ap-328	17	10	,	,	PUNCT
ap-328	17	11	y	y	NOUN
ap-328	17	12	)	)	PUNCT
ap-328	17	13	surface	surface	NOUN
ap-328	17	14	:	:	PUNCT
ap-328	18	1	�	�	PROPN
ap-328	18	2	�	�	PROPN
ap-328	18	3	�	�	PROPN
ap-328	18	4	�	�	PROPN
ap-328	18	5	�	�	PROPN
ap-328	18	6	�	�	PROPN
ap-328	18	7	�	�	PROPN
ap-328	18	8	�	�	PROPN
ap-328	18	9	�	�	PROPN
ap-328	18	10	�	�	PROPN
ap-328	18	11	�	�	PROPN
ap-328	18	12	�	�	PROPN
ap-328	18	13	e	e	PROPN
ap-328	18	14	h	h	NOUN
ap-328	18	15	x	x	VERB
ap-328	18	16	y	y	PROPN
ap-328	18	17	s	s	NOUN
ap-328	18	18	x	x	VERB
ap-328	18	19	y	y	PROPN
ap-328	18	20	s	s	PROPN
ap-328	18	21	x	x	VERB
ap-328	18	22	y	y	PROPN
ap-328	18	23	s	s	PROPN
ap-328	18	24	x	x	SYM
ap-328	18	25	y	y	PROPN
ap-328	18	26	,	,	PUNCT
ap-328	18	27	exp	exp	NOUN
ap-328	18	28	,	,	PUNCT
ap-328	18	29	,	,	PUNCT
ap-328	18	30	,	,	PUNCT
ap-328	18	31	�	�	PROPN
ap-328	18	32	�	�	PROPN
ap-328	18	33	�	�	PROPN
ap-328	18	34	�	�	PROPN
ap-328	18	35	�	�	PROPN
ap-328	18	36	�	�	PROPN
ap-328	18	37	�	�	PROPN
ap-328	18	38	�	�	PROPN
ap-328	18	39	�	�	PROPN
ap-328	18	40	�	�	PROPN
ap-328	18	41	�	�	PROPN
ap-328	18	42	�	�	PROPN
ap-328	18	43	�	�	PROPN
ap-328	18	44	�	�	PROPN
ap-328	18	45	�	�	PROPN
ap-328	18	46	�	�	PROPN
ap-328	18	47	2	2	NUM
ap-328	18	48	2	2	NUM
ap-328	18	49	1	1	NUM
ap-328	18	50	2	2	NUM
ap-328	18	51	2	2	NUM
ap-328	18	52	2	2	NUM
ap-328	18	53	�	�	PROPN
ap-328	18	54	�	�	PROPN
ap-328	18	55	�	�	PROPN
ap-328	18	56	�	�	PROPN
ap-328	18	57	�	�	PROPN
ap-328	18	58	21	21	NUM
ap-328	18	59	2	2	NUM
ap-328	18	60	�	�	PROPN
ap-328	18	61	�	�	PROPN
ap-328	18	62	�	�	PROPN
ap-328	18	63	�	�	PROPN
ap-328	18	64	�	�	PROPN
ap-328	18	65	�	�	PROPN
ap-328	18	66	�	�	PROPN
ap-328	18	67	�	�	PROPN
ap-328	18	68	�	�	PROPN
ap-328	18	69	�	�	PROPN
ap-328	18	70	(	(	PUNCT
ap-328	18	71	4	4	NUM
ap-328	18	72	)	)	PUNCT
ap-328	18	73	where	where	SCONJ
ap-328	18	74	�	�	PROPN
ap-328	18	75	�	�	PROPN
ap-328	18	76	�	�	PROPN
ap-328	18	77	�	�	PROPN
ap-328	18	78	�	�	PROPN
ap-328	18	79	z	z	PROPN
ap-328	18	80	t	t	PROPN
ap-328	18	81	t	t	PROPN
ap-328	18	82	z	z	PROPN
ap-328	18	83	�	�	PROPN
ap-328	18	84	�	�	PROPN
ap-328	18	85	�	�	PROPN
ap-328	18	86	2	2	NUM
ap-328	18	87	1	1	NUM
ap-328	18	88	2	2	NUM
ap-328	18	89	2	2	NUM
ap-328	18	90	0	0	NUM
ap-328	18	91	�	�	PROPN
ap-328	18	92	exp	exp	NOUN
ap-328	18	93	d	d	PROPN
ap-328	18	94	is	be	AUX
ap-328	18	95	the	the	DET
ap-328	18	96	laplace	laplace	NOUN
ap-328	18	97	function	function	NOUN
ap-328	18	98	.	.	PUNCT
ap-328	19	1	the	the	DET
ap-328	19	2	generalized	generalized	ADJ
ap-328	19	3	transformation	transformation	NOUN
ap-328	19	4	g{h(x	g{h(x	PROPN
ap-328	19	5	,	,	PUNCT
ap-328	19	6	y	y	PROPN
ap-328	19	7	)	)	PUNCT
ap-328	19	8	}	}	PUNCT
ap-328	19	9	is	be	AUX
ap-328	19	10	the	the	DET
ap-328	19	11	random	random	ADJ
ap-328	19	12	field	field	NOUN
ap-328	19	13	which	which	PRON
ap-328	19	14	has	have	VERB
ap-328	19	15	the	the	DET
ap-328	19	16	correlation	correlation	NOUN
ap-328	19	17	function	function	NOUN
ap-328	19	18	[	[	X
ap-328	19	19	3	3	X
ap-328	19	20	]	]	PUNCT
ap-328	19	21	defined	define	VERB
ap-328	19	22	as	as	ADP
ap-328	19	23	�	�	PROPN
ap-328	19	24	�	�	PROPN
ap-328	19	25	�	�	PROPN
ap-328	19	26	�	�	PROPN
ap-328	19	27	�	�	PROPN
ap-328	19	28	�	�	PROPN
ap-328	19	29	�	�	PROPN
ap-328	19	30	�	�	PROPN
ap-328	19	31	�	�	PROPN
ap-328	19	32	�	�	PROPN
ap-328	19	33	�	�	PROPN
ap-328	19	34	�	�	PROPN
ap-328	19	35	k	k	NOUN
ap-328	20	1	x	x	PUNCT
ap-328	20	2	x	x	PUNCT
ap-328	20	3	y	y	VERB
ap-328	20	4	y	y	PROPN
ap-328	20	5	g	g	PROPN
ap-328	20	6	h	h	NOUN
ap-328	20	7	g	g	NOUN
ap-328	20	8	h	h	NOUN
ap-328	21	1	f	f	NOUN
ap-328	21	2	h	h	NOUN
ap-328	21	3	h	h	NOUN
ap-328	21	4	h	h	NOUN
ap-328	21	5	h	h	NOUN
ap-328	22	1	e	e	NOUN
ap-328	22	2	g	g	NOUN
ap-328	22	3	h	h	NOUN
ap-328	22	4	g	g	NOUN
ap-328	22	5	h	h	NOUN
ap-328	22	6	g	g	NOUN
ap-328	22	7	1	1	NUM
ap-328	22	8	2	2	NUM
ap-328	22	9	1	1	NUM
ap-328	22	10	2	2	NUM
ap-328	22	11	1	1	NUM
ap-328	22	12	2	2	NUM
ap-328	22	13	1	1	NUM
ap-328	22	14	2	2	NUM
ap-328	22	15	1	1	NUM
ap-328	22	16	2	2	NUM
ap-328	22	17	1	1	NUM
ap-328	22	18	,	,	PUNCT
ap-328	22	19	,	,	PUNCT
ap-328	22	20	,	,	PUNCT
ap-328	22	21	,	,	PUNCT
ap-328	22	22	�	�	PROPN
ap-328	22	23	�	�	PROPN
ap-328	22	24	�	�	PROPN
ap-328	22	25	�	�	PROPN
ap-328	22	26	�	�	PROPN
ap-328	22	27	�	�	PROPN
ap-328	22	28	�	�	PROPN
ap-328	22	29	�	�	PROPN
ap-328	22	30	�	�	PROPN
ap-328	22	31	�	�	PROPN
ap-328	22	32	�	�	PROPN
ap-328	22	33	�	�	PROPN
ap-328	22	34	�	�	PROPN
ap-328	22	35	d	d	PROPN
ap-328	22	36	d	d	PROPN
ap-328	22	37	�	�	PROPN
ap-328	22	38	�	�	PROPN
ap-328	22	39	�	�	PROPN
ap-328	22	40	�	�	PROPN
ap-328	22	41	2	2	NUM
ap-328	22	42	,	,	PUNCT
ap-328	22	43	(	(	PUNCT
ap-328	22	44	5	5	NUM
ap-328	22	45	)	)	PUNCT
ap-328	23	1	where	where	SCONJ
ap-328	23	2	�	�	PROPN
ap-328	23	3	�	�	PROPN
ap-328	23	4	h	h	PROPN
ap-328	23	5	h	h	NOUN
ap-328	23	6	x	x	PUNCT
ap-328	23	7	y1	y1	NOUN
ap-328	23	8	1	1	NUM
ap-328	23	9	1	1	NUM
ap-328	23	10	�	�	PROPN
ap-328	23	11	,	,	PUNCT
ap-328	23	12	,	,	PUNCT
ap-328	23	13	�	�	PROPN
ap-328	23	14	�	�	PROPN
ap-328	23	15	h	h	PROPN
ap-328	23	16	h	h	NOUN
ap-328	23	17	x	x	PUNCT
ap-328	23	18	y2	y2	NOUN
ap-328	23	19	2	2	NUM
ap-328	23	20	2	2	NUM
ap-328	23	21	�	�	PROPN
ap-328	23	22	,	,	PUNCT
ap-328	23	23	are	be	AUX
ap-328	23	24	the	the	DET
ap-328	23	25	coordinates	coordinate	NOUN
ap-328	23	26	of	of	ADP
ap-328	23	27	the	the	DET
ap-328	23	28	surface	surface	NOUN
ap-328	23	29	at	at	ADP
ap-328	23	30	the	the	DET
ap-328	23	31	�	�	PROPN
ap-328	23	32	�	�	PROPN
ap-328	23	33	x	x	PROPN
ap-328	23	34	y1	y1	PROPN
ap-328	23	35	1	1	NUM
ap-328	23	36	,	,	PUNCT
ap-328	23	37	and	and	CCONJ
ap-328	23	38	�	�	PROPN
ap-328	23	39	�	�	PROPN
ap-328	23	40	x	x	SYM
ap-328	23	41	y2	y2	NOUN
ap-328	23	42	2	2	NUM
ap-328	23	43	,	,	PUNCT
ap-328	23	44	points	point	NOUN
ap-328	23	45	,	,	PUNCT
ap-328	23	46	�	�	PROPN
ap-328	23	47	�	�	PROPN
ap-328	23	48	f	f	PROPN
ap-328	23	49	h	h	NOUN
ap-328	23	50	h1	h1	PROPN
ap-328	23	51	2	2	NUM
ap-328	23	52	,	,	PUNCT
ap-328	23	53	distribution	distribution	NOUN
ap-328	23	54	density	density	NOUN
ap-328	23	55	expands	expand	VERB
ap-328	23	56	into	into	ADP
ap-328	23	57	a	a	DET
ap-328	23	58	series	series	NOUN
ap-328	23	59	in	in	ADP
ap-328	23	60	terms	term	NOUN
ap-328	23	61	of	of	ADP
ap-328	23	62	hermite	hermite	ADJ
ap-328	23	63	polynomials	polynomial	NOUN
ap-328	23	64	.	.	PUNCT
ap-328	24	1	the	the	DET
ap-328	24	2	correlation	correlation	NOUN
ap-328	24	3	function	function	NOUN
ap-328	24	4	(	(	PUNCT
ap-328	24	5	5	5	NUM
ap-328	24	6	)	)	PUNCT
ap-328	24	7	can	can	AUX
ap-328	24	8	be	be	AUX
ap-328	24	9	represented	represent	VERB
ap-328	24	10	as	as	ADP
ap-328	24	11	[	[	X
ap-328	24	12	3	3	NUM
ap-328	24	13	]	]	X
ap-328	24	14	:	:	PUNCT
ap-328	24	15	�	�	PROPN
ap-328	24	16	�	�	PROPN
ap-328	24	17	�	�	PROPN
ap-328	24	18	�	�	PROPN
ap-328	24	19	�	�	PROPN
ap-328	24	20	�	�	PROPN
ap-328	24	21	�	�	PROPN
ap-328	24	22	�	�	PROPN
ap-328	24	23	�	�	PROPN
ap-328	24	24	�	�	PROPN
ap-328	24	25	k	k	NOUN
ap-328	24	26	x	x	PUNCT
ap-328	24	27	x	x	PUNCT
ap-328	24	28	y	y	VERB
ap-328	24	29	y	y	NOUN
ap-328	24	30	c	c	NOUN
ap-328	24	31	x	x	VERB
ap-328	24	32	y	y	NOUN
ap-328	24	33	c	c	NOUN
ap-328	24	34	x	x	VERB
ap-328	24	35	y	y	PROPN
ap-328	24	36	ng	ng	PROPN
ap-328	24	37	n	n	CCONJ
ap-328	24	38	n	n	CCONJ
ap-328	24	39	n	n	ADV
ap-328	24	40	1	1	NUM
ap-328	24	41	2	2	NUM
ap-328	24	42	1	1	NUM
ap-328	24	43	2	2	NUM
ap-328	24	44	1	1	NUM
ap-328	24	45	1	1	NUM
ap-328	24	46	1	1	NUM
ap-328	24	47	1	1	NUM
ap-328	24	48	1	1	NUM
ap-328	24	49	2	2	NUM
ap-328	24	50	1	1	NUM
ap-328	24	51	2	2	NUM
ap-328	24	52	1	1	NUM
ap-328	24	53	,	,	PUNCT
ap-328	24	54	,	,	PUNCT
ap-328	24	55	,	,	PUNCT
ap-328	24	56	,	,	PUNCT
ap-328	24	57	,	,	PUNCT
ap-328	24	58	,	,	PUNCT
ap-328	24	59	!	!	PUNCT
ap-328	25	1	�	�	PROPN
ap-328	25	2	�	�	PROPN
ap-328	25	3	�	�	PROPN
ap-328	25	4	�	�	PROPN
ap-328	25	5	�	�	PROPN
ap-328	25	6	�	�	PROPN
ap-328	25	7	�	�	PROPN
ap-328	25	8	�	�	PROPN
ap-328	25	9	�	�	PROPN
ap-328	25	10	�	�	PROPN
ap-328	25	11	�	�	PROPN
ap-328	25	12	(	(	PUNCT
ap-328	25	13	6	6	NUM
ap-328	25	14	)	)	PUNCT
ap-328	25	15	�	�	PROPN
ap-328	25	16	�	�	PROPN
ap-328	25	17	�	�	PROPN
ap-328	25	18	�	�	PROPN
ap-328	25	19	�	�	PROPN
ap-328	25	20	�	�	PROPN
ap-328	25	21	�	�	PROPN
ap-328	25	22	�	�	PROPN
ap-328	25	23	c	c	PROPN
ap-328	25	24	x	x	SYM
ap-328	25	25	y	y	NOUN
ap-328	25	26	g	g	PROPN
ap-328	25	27	h	h	NOUN
ap-328	25	28	h	h	NOUN
ap-328	26	1	h	h	NOUN
ap-328	26	2	s	s	VERB
ap-328	27	1	h	h	NOUN
ap-328	27	2	s	s	VERB
ap-328	27	3	hn	hn	INTJ
ap-328	27	4	1	1	NUM
ap-328	27	5	1	1	NUM
ap-328	27	6	1	1	NUM
ap-328	27	7	2	2	NUM
ap-328	27	8	2	2	NUM
ap-328	27	9	1	1	NUM
ap-328	27	10	2	2	NUM
ap-328	27	11	2	2	NUM
ap-328	27	12	,	,	PUNCT
ap-328	27	13	exp	exp	NOUN
ap-328	27	14	�	�	PROPN
ap-328	27	15	�	�	PROPN
ap-328	27	16	�	�	PROPN
ap-328	27	17	�	�	PROPN
ap-328	27	18	�	�	PROPN
ap-328	27	19	�	�	PROPN
ap-328	27	20	�	�	PROPN
ap-328	27	21	�	�	PROPN
ap-328	27	22	�	�	PROPN
ap-328	27	23	�	�	PROPN
ap-328	27	24	�	�	PROPN
ap-328	27	25	�	�	PROPN
ap-328	27	26	�	�	PROPN
ap-328	27	27	�	�	PROPN
ap-328	27	28	�	�	PROPN
ap-328	27	29	�	�	PROPN
ap-328	27	30	�	�	PROPN
ap-328	27	31	�	�	PROPN
ap-328	27	32	�	�	PROPN
ap-328	27	33	�	�	PROPN
ap-328	27	34	�	�	PROPN
ap-328	27	35	n	n	CCONJ
ap-328	27	36	d	d	PROPN
ap-328	27	37	�	�	PROPN
ap-328	27	38	�	�	PROPN
ap-328	27	39	�	�	PROPN
ap-328	27	40	�	�	PROPN
ap-328	27	41	�	�	PROPN
ap-328	27	42	(	(	PUNCT
ap-328	27	43	7	7	NUM
ap-328	27	44	)	)	PUNCT
ap-328	27	45	�	�	NOUN
ap-328	27	46	1	1	NUM
ap-328	27	47	2	2	NUM
ap-328	27	48	1	1	NUM
ap-328	27	49	�	�	PROPN
ap-328	27	50	�	�	PROPN
ap-328	27	51	x	x	SYM
ap-328	27	52	x	x	SYM
ap-328	27	53	�	�	PROPN
ap-328	27	54	2	2	NUM
ap-328	27	55	2	2	NUM
ap-328	27	56	1	1	NUM
ap-328	27	57	�	�	PROPN
ap-328	27	58	�	�	PROPN
ap-328	27	59	y	y	PROPN
ap-328	27	60	y	y	PROPN
ap-328	27	61	�	�	PROPN
ap-328	27	62	is	be	AUX
ap-328	27	63	the	the	DET
ap-328	27	64	r.m.s	r.m.s	NOUN
ap-328	27	65	.	.	PUNCT
ap-328	28	1	deviation	deviation	NOUN
ap-328	28	2	of	of	ADP
ap-328	28	3	the	the	DET
ap-328	28	4	random	random	ADJ
ap-328	28	5	component	component	NOUN
ap-328	28	6	�	�	PROPN
ap-328	28	7	(	(	PUNCT
ap-328	28	8	x	x	NOUN
ap-328	28	9	,	,	PUNCT
ap-328	28	10	y	y	PROPN
ap-328	28	11	)	)	PUNCT
ap-328	28	12	and	and	CCONJ
ap-328	28	13	�	�	PROPN
ap-328	28	14	�	�	PROPN
ap-328	28	15	�	�	PROPN
ap-328	28	16	�	�	PROPN
ap-328	28	17	�	�	PROPN
ap-328	28	18	1	1	NUM
ap-328	28	19	2	2	NUM
ap-328	28	20	,	,	PUNCT
ap-328	28	21	is	be	AUX
ap-328	28	22	the	the	DET
ap-328	28	23	correlation	correlation	NOUN
ap-328	28	24	coefficient	coefficient	NOUN
ap-328	28	25	of	of	ADP
ap-328	28	26	the	the	DET
ap-328	28	27	random	random	ADJ
ap-328	28	28	components	component	NOUN
ap-328	28	29	�	�	PROPN
ap-328	28	30	(	(	PUNCT
ap-328	28	31	x	x	NOUN
ap-328	28	32	,	,	PUNCT
ap-328	28	33	y	y	PROPN
ap-328	28	34	)	)	PUNCT
ap-328	28	35	,	,	PUNCT
ap-328	28	36	�	�	PROPN
ap-328	28	37	�	�	PROPN
ap-328	28	38	h	h	PROPN
ap-328	28	39	h	h	NOUN
ap-328	28	40	x	x	PUNCT
ap-328	28	41	y	y	PROPN
ap-328	28	42	�	�	PROPN
ap-328	28	43	,	,	PUNCT
ap-328	28	44	,	,	PUNCT
ap-328	28	45	�	�	PROPN
ap-328	28	46	�	�	PROPN
ap-328	28	47	s	s	PART
ap-328	28	48	s	s	PROPN
ap-328	28	49	x	x	PUNCT
ap-328	28	50	y	y	PROPN
ap-328	28	51	�	�	PROPN
ap-328	28	52	,	,	PUNCT
ap-328	28	53	.	.	PUNCT
ap-328	29	1	for	for	ADP
ap-328	29	2	the	the	DET
ap-328	29	3	generalized	generalize	VERB
ap-328	29	4	transformation	transformation	NOUN
ap-328	29	5	�	�	PROPN
ap-328	29	6	�	�	PROPN
ap-328	29	7	�	�	PROPN
ap-328	29	8	�	�	PROPN
ap-328	29	9	�	�	PROPN
ap-328	29	10	�	�	PROPN
ap-328	29	11	g	g	PROPN
ap-328	29	12	h	h	NOUN
ap-328	29	13	x	x	VERB
ap-328	29	14	y	y	NOUN
ap-328	29	15	h	h	NOUN
ap-328	29	16	x	x	VERB
ap-328	29	17	y	y	PROPN
ap-328	29	18	�	�	PROPN
ap-328	29	19	�	�	PROPN
ap-328	29	20	,	,	PUNCT
ap-328	29	21	,	,	PUNCT
ap-328	29	22	,	,	PUNCT
ap-328	29	23	which	which	PRON
ap-328	29	24	determines	determine	VERB
ap-328	29	25	the	the	DET
ap-328	29	26	ras	ras	PROPN
ap-328	29	27	parameter	parameter	NOUN
ap-328	29	28	,	,	PUNCT
ap-328	29	29	the	the	DET
ap-328	29	30	coefficients	coefficient	NOUN
ap-328	29	31	cn	cn	VERB
ap-328	29	32	in	in	ADP
ap-328	29	33	equation	equation	NOUN
ap-328	29	34	(	(	PUNCT
ap-328	29	35	7	7	X
ap-328	29	36	)	)	PUNCT
ap-328	29	37	are	be	AUX
ap-328	29	38	written	write	VERB
ap-328	29	39	as	as	SCONJ
ap-328	29	40	follows	follow	VERB
ap-328	29	41	after	after	ADP
ap-328	29	42	the	the	DET
ap-328	29	43	transformation	transformation	NOUN
ap-328	29	44	:	:	PUNCT
ap-328	29	45	35	35	NUM
ap-328	29	46	acta	acta	PROPN
ap-328	29	47	polytechnica	polytechnica	PROPN
ap-328	29	48	vol	vol	NOUN
ap-328	29	49	.	.	PUNCT
ap-328	30	1	42	42	NUM
ap-328	30	2	no	no	NOUN
ap-328	30	3	.	.	PUNCT
ap-328	31	1	2/2002	2/2002	NUM
ap-328	31	2	a	a	DET
ap-328	31	3	mathematical	mathematical	ADJ
ap-328	31	4	approach	approach	NOUN
ap-328	31	5	for	for	ADP
ap-328	31	6	evaluation	evaluation	NOUN
ap-328	31	7	of	of	ADP
ap-328	31	8	surface	surface	NOUN
ap-328	31	9	topography	topography	NOUN
ap-328	31	10	parameters	parameter	NOUN
ap-328	31	11	a.	a.	PROPN
ap-328	31	12	k.	k.	PROPN
ap-328	31	13	haghi	haghi	PROPN
ap-328	31	14	the	the	DET
ap-328	31	15	probability	probability	NOUN
ap-328	31	16	characteristics	characteristic	NOUN
ap-328	31	17	of	of	ADP
ap-328	31	18	surface	surface	NOUN
ap-328	31	19	topography	topography	NOUN
ap-328	31	20	parameters	parameter	NOUN
ap-328	31	21	described	describe	VERB
ap-328	31	22	by	by	ADP
ap-328	31	23	the	the	DET
ap-328	31	24	composition	composition	NOUN
ap-328	31	25	of	of	ADP
ap-328	31	26	the	the	DET
ap-328	31	27	deterministic	deterministic	ADJ
ap-328	31	28	component	component	NOUN
ap-328	31	29	and	and	CCONJ
ap-328	31	30	the	the	DET
ap-328	31	31	homogeneous	homogeneous	ADJ
ap-328	31	32	random	random	ADJ
ap-328	31	33	normal	normal	ADJ
ap-328	31	34	field	field	NOUN
ap-328	31	35	were	be	AUX
ap-328	31	36	analysed	analyse	VERB
ap-328	31	37	.	.	PUNCT
ap-328	32	1	formulae	formulae	NOUN
ap-328	32	2	for	for	ADP
ap-328	32	3	the	the	DET
ap-328	32	4	calculation	calculation	NOUN
ap-328	32	5	of	of	ADP
ap-328	32	6	the	the	DET
ap-328	32	7	mathematical	mathematical	ADJ
ap-328	32	8	expectation	expectation	NOUN
ap-328	32	9	of	of	ADP
ap-328	32	10	the	the	DET
ap-328	32	11	ras	ras	PROPN
ap-328	32	12	parameter	parameter	NOUN
ap-328	32	13	and	and	CCONJ
ap-328	32	14	the	the	DET
ap-328	32	15	evaluation	evaluation	NOUN
ap-328	32	16	of	of	ADP
ap-328	32	17	its	its	PRON
ap-328	32	18	variance	variance	NOUN
ap-328	32	19	are	be	AUX
ap-328	32	20	given	give	VERB
ap-328	32	21	.	.	PUNCT
ap-328	33	1	keywords	keyword	NOUN
ap-328	33	2	:	:	PUNCT
ap-328	33	3	mathematical	mathematical	ADJ
ap-328	33	4	approach	approach	NOUN
ap-328	33	5	,	,	PUNCT
ap-328	33	6	surface	surface	NOUN
ap-328	33	7	topography	topography	NOUN
ap-328	33	8	,	,	PUNCT
ap-328	33	9	deterministic	deterministic	ADJ
ap-328	33	10	component	component	NOUN
ap-328	33	11	.	.	PUNCT
ap-328	34	1	�	�	PROPN
ap-328	34	2	�	�	PROPN
ap-328	34	3	�	�	PROPN
ap-328	34	4	�	�	PROPN
ap-328	34	5	�	�	PROPN
ap-328	34	6	�	�	PROPN
ap-328	34	7	�	�	PROPN
ap-328	34	8	�	�	PROPN
ap-328	34	9	c	c	PROPN
ap-328	34	10	x	x	PUNCT
ap-328	34	11	y	y	NOUN
ap-328	34	12	s	s	NOUN
ap-328	34	13	x	x	X
ap-328	34	14	x	x	X
ap-328	34	15	s	s	X
ap-328	34	16	x	x	X
ap-328	34	17	y	y	PROPN
ap-328	34	18	s	s	NOUN
ap-328	34	19	x	x	SYM
ap-328	34	20	1	1	NUM
ap-328	34	21	1	1	NUM
ap-328	34	22	1	1	NUM
ap-328	34	23	1	1	NUM
ap-328	34	24	2	2	NUM
ap-328	34	25	1	1	NUM
ap-328	34	26	2	2	NUM
ap-328	34	27	1	1	NUM
ap-328	34	28	1	1	NUM
ap-328	34	29	2	2	NUM
ap-328	34	30	2	2	NUM
ap-328	34	31	2	2	NUM
ap-328	34	32	,	,	PUNCT
ap-328	34	33	,	,	PUNCT
ap-328	34	34	exp	exp	NOUN
ap-328	34	35	,	,	PUNCT
ap-328	34	36	�	�	PROPN
ap-328	34	37	�	�	PROPN
ap-328	34	38	�	�	PROPN
ap-328	34	39	�	�	PROPN
ap-328	34	40	�	�	PROPN
ap-328	34	41	�	�	PROPN
ap-328	34	42	�	�	PROPN
ap-328	34	43	�	�	PROPN
ap-328	34	44	�	�	PROPN
ap-328	34	45	�	�	PROPN
ap-328	34	46	�	�	PROPN
ap-328	34	47	�	�	PROPN
ap-328	34	48	�	�	PROPN
ap-328	34	49	�	�	PROPN
ap-328	34	50	�	�	PROPN
ap-328	34	51	�	�	PROPN
ap-328	34	52	�	�	PROPN
ap-328	34	53	�	�	PROPN
ap-328	34	54	�	�	PROPN
ap-328	34	55	�	�	PROPN
ap-328	34	56	1	1	NUM
ap-328	34	57	1	1	NUM
ap-328	34	58	1	1	NUM
ap-328	34	59	22	22	NUM
ap-328	34	60	,	,	PUNCT
ap-328	34	61	y	y	PROPN
ap-328	34	62	�	�	PROPN
ap-328	34	63	�	�	PROPN
ap-328	34	64	�	�	PROPN
ap-328	34	65	�	�	PROPN
ap-328	34	66	�	�	PROPN
ap-328	34	67	�	�	PROPN
ap-328	34	68	�	�	PROPN
ap-328	34	69	�	�	PROPN
ap-328	34	70	�	�	PROPN
ap-328	34	71	�	�	PROPN
ap-328	34	72	�	�	PROPN
ap-328	34	73	�	�	PROPN
ap-328	34	74	�	�	PROPN
ap-328	34	75	c	c	PROPN
ap-328	34	76	x	x	PUNCT
ap-328	34	77	y	y	PROPN
ap-328	34	78	s	s	PROPN
ap-328	34	79	x	x	VERB
ap-328	34	80	y	y	PROPN
ap-328	34	81	h	h	NOUN
ap-328	34	82	s	s	NOUN
ap-328	34	83	x	x	VERB
ap-328	34	84	y	y	PROPN
ap-328	34	85	n	n	PROPN
ap-328	34	86	1	1	NUM
ap-328	34	87	1	1	NUM
ap-328	34	88	1	1	NUM
ap-328	34	89	2	2	NUM
ap-328	34	90	2	2	NUM
ap-328	34	91	2	2	NUM
ap-328	34	92	2	2	NUM
ap-328	34	93	1	1	NUM
ap-328	34	94	2	2	NUM
ap-328	34	95	2	2	NUM
ap-328	34	96	,	,	PUNCT
ap-328	34	97	exp	exp	NOUN
ap-328	34	98	,	,	PUNCT
ap-328	34	99	,	,	PUNCT
ap-328	34	100	�	�	PROPN
ap-328	34	101	�	�	PROPN
ap-328	34	102	�	�	PROPN
ap-328	34	103	�	�	PROPN
ap-328	34	104	�	�	PROPN
ap-328	34	105	�	�	PROPN
ap-328	34	106	�	�	PROPN
ap-328	34	107	�	�	PROPN
ap-328	34	108	�	�	PROPN
ap-328	34	109	�	�	PROPN
ap-328	34	110	�	�	PROPN
ap-328	34	111	�	�	PROPN
ap-328	34	112	�	�	PROPN
ap-328	34	113	!	!	PUNCT
ap-328	34	114	�	�	PROPN
ap-328	34	115	�	�	PROPN
ap-328	34	116	�	�	PROPN
ap-328	34	117	�	�	PROPN
ap-328	34	118	�	�	PROPN
ap-328	34	119	n	n	CCONJ
ap-328	34	120	�	�	PROPN
ap-328	34	121	�	�	PROPN
ap-328	34	122	�	�	PROPN
ap-328	34	123	�	�	PROPN
ap-328	34	124	�	�	PROPN
ap-328	34	125	�	�	PROPN
ap-328	34	126	1	1	NUM
ap-328	34	127	1	1	NUM
ap-328	34	128	1	1	NUM
ap-328	34	129	1	1	NUM
ap-328	34	130	1	1	NUM
ap-328	34	131	�	�	PROPN
ap-328	34	132	�	�	PROPN
ap-328	34	133	�	�	PROPN
ap-328	34	134	�	�	PROPN
ap-328	34	135	�	�	PROPN
ap-328	34	136	�	�	PROPN
ap-328	34	137	�	�	PROPN
ap-328	34	138	�	�	PROPN
ap-328	34	139	�	�	PROPN
ap-328	34	140	�	�	PROPN
ap-328	34	141	�	�	PROPN
ap-328	34	142	�	�	PROPN
ap-328	34	143	�	�	PROPN
ap-328	34	144	�	�	PROPN
ap-328	34	145	�	�	PROPN
ap-328	34	146	�	�	PROPN
ap-328	34	147	�	�	PROPN
ap-328	34	148	�	�	PROPN
ap-328	34	149	�	�	PROPN
ap-328	34	150	�	�	PROPN
ap-328	34	151	�	�	PROPN
ap-328	34	152	�	�	PROPN
ap-328	34	153	�	�	PROPN
ap-328	34	154	�	�	PROPN
ap-328	34	155	�	�	PROPN
ap-328	34	156	�	�	PROPN
ap-328	34	157	s	s	PART
ap-328	34	158	x	x	SYM
ap-328	34	159	y	y	PROPN
ap-328	34	160	h	h	NOUN
ap-328	34	161	s	s	NOUN
ap-328	34	162	x	x	SYM
ap-328	34	163	y	y	PROPN
ap-328	34	164	,	,	PUNCT
ap-328	34	165	,	,	PUNCT
ap-328	34	166	n	n	PROPN
ap-328	34	167	1	1	NUM
ap-328	34	168	(	(	PUNCT
ap-328	34	169	8)	8)	NUM
ap-328	34	170	where	where	SCONJ
ap-328	34	171	hn(z	hn(z	PUNCT
ap-328	34	172	)	)	PUNCT
ap-328	34	173	are	be	AUX
ap-328	34	174	hermite	hermite	ADJ
ap-328	34	175	polynomials	polynomial	NOUN
ap-328	34	176	.	.	PUNCT
ap-328	35	1	the	the	DET
ap-328	35	2	variance	variance	NOUN
ap-328	35	3	of	of	ADP
ap-328	35	4	the	the	DET
ap-328	35	5	parameter	parameter	NOUN
ap-328	35	6	ps	ps	PROPN
ap-328	35	7	is	be	AUX
ap-328	35	8	determined	determine	VERB
ap-328	35	9	by	by	ADP
ap-328	35	10	integration	integration	NOUN
ap-328	35	11	of	of	ADP
ap-328	35	12	the	the	DET
ap-328	35	13	correlation	correlation	NOUN
ap-328	35	14	function	function	NOUN
ap-328	35	15	�	�	PROPN
ap-328	35	16	�	�	PROPN
ap-328	35	17	k	k	NOUN
ap-328	35	18	x	x	PUNCT
ap-328	35	19	x	x	VERB
ap-328	35	20	y	y	NOUN
ap-328	35	21	yg	yg	PROPN
ap-328	35	22	1	1	NUM
ap-328	35	23	2	2	NUM
ap-328	35	24	1	1	NUM
ap-328	35	25	2	2	NUM
ap-328	35	26	,	,	PUNCT
ap-328	35	27	,	,	PUNCT
ap-328	35	28	,	,	PUNCT
ap-328	35	29	of	of	ADP
ap-328	35	30	the	the	DET
ap-328	35	31	generalized	generalized	ADJ
ap-328	35	32	transformation	transformation	NOUN
ap-328	35	33	g{h(x	g{h(x	PROPN
ap-328	35	34	,	,	PUNCT
ap-328	35	35	y	y	PROPN
ap-328	35	36	)	)	PUNCT
ap-328	35	37	}	}	PUNCT
ap-328	35	38	using	use	VERB
ap-328	35	39	variables	variable	NOUN
ap-328	35	40	x1	x1	PROPN
ap-328	35	41	,	,	PUNCT
ap-328	35	42	x2	x2	PROPN
ap-328	35	43	,	,	PUNCT
ap-328	35	44	y1	y1	NOUN
ap-328	35	45	,	,	PUNCT
ap-328	35	46	y2	y2	PROPN
ap-328	35	47	:	:	PUNCT
ap-328	35	48	�	�	PROPN
ap-328	35	49	�	�	PROPN
ap-328	35	50	�	�	PROPN
ap-328	35	51	�	�	PROPN
ap-328	35	52	d	d	PROPN
ap-328	35	53	p	p	NOUN
ap-328	35	54	l	l	NOUN
ap-328	35	55	l	l	NOUN
ap-328	36	1	k	k	X
ap-328	36	2	x	x	PUNCT
ap-328	36	3	x	x	VERB
ap-328	36	4	y	y	NOUN
ap-328	36	5	y	y	NOUN
ap-328	36	6	x	x	PUNCT
ap-328	36	7	x	x	VERB
ap-328	36	8	y	y	VERB
ap-328	36	9	y	y	PROPN
ap-328	36	10	lll	lll	PROPN
ap-328	36	11	s	s	PROPN
ap-328	36	12	g	g	NOUN
ap-328	36	13	d	d	PROPN
ap-328	36	14	d	d	PROPN
ap-328	36	15	d	d	PROPN
ap-328	36	16	d	d	PROPN
ap-328	36	17	�	�	PROPN
ap-328	36	18	�	�	PROPN
ap-328	36	19	�	�	PROPN
ap-328	36	20	�	�	PROPN
ap-328	36	21	1	1	NUM
ap-328	36	22	1	1	NUM
ap-328	36	23	2	2	NUM
ap-328	36	24	2	2	NUM
ap-328	36	25	2	2	NUM
ap-328	36	26	1	1	NUM
ap-328	36	27	2	2	NUM
ap-328	36	28	1	1	NUM
ap-328	36	29	2	2	NUM
ap-328	36	30	1	1	NUM
ap-328	36	31	2	2	NUM
ap-328	36	32	1	1	NUM
ap-328	36	33	2	2	NUM
ap-328	36	34	000	000	NUM
ap-328	36	35	211	211	NUM
ap-328	36	36	,	,	PUNCT
ap-328	36	37	,	,	PUNCT
ap-328	36	38	,	,	PUNCT
ap-328	36	39	.	.	PUNCT
ap-328	37	1	(	(	PUNCT
ap-328	37	2	9	9	X
ap-328	37	3	)	)	PUNCT
ap-328	37	4	calculation	calculation	NOUN
ap-328	37	5	of	of	ADP
ap-328	37	6	the	the	DET
ap-328	37	7	integral	integral	ADJ
ap-328	37	8	in	in	ADP
ap-328	37	9	equation	equation	NOUN
ap-328	37	10	(	(	PUNCT
ap-328	37	11	9	9	X
ap-328	37	12	)	)	PUNCT
ap-328	37	13	involves	involve	VERB
ap-328	37	14	considerable	considerable	ADJ
ap-328	37	15	difficulties	difficulty	NOUN
ap-328	37	16	;	;	PUNCT
ap-328	37	17	therefore	therefore	ADV
ap-328	37	18	,	,	PUNCT
ap-328	37	19	in	in	ADP
ap-328	37	20	the	the	DET
ap-328	37	21	general	general	ADJ
ap-328	37	22	case	case	NOUN
ap-328	37	23	,	,	PUNCT
ap-328	37	24	formula	formula	NOUN
ap-328	37	25	(	(	PUNCT
ap-328	37	26	9	9	NUM
ap-328	37	27	)	)	PUNCT
ap-328	37	28	in	in	ADP
ap-328	37	29	not	not	PART
ap-328	37	30	suitable	suitable	ADJ
ap-328	37	31	for	for	ADP
ap-328	37	32	calculations	calculation	NOUN
ap-328	37	33	.	.	PUNCT
ap-328	38	1	however	however	ADV
ap-328	38	2	,	,	PUNCT
ap-328	38	3	having	have	VERB
ap-328	38	4	�	�	PROPN
ap-328	38	5	�	�	PROPN
ap-328	38	6	s	s	PART
ap-328	38	7	x	x	SYM
ap-328	38	8	y	y	PROPN
ap-328	38	9	,	,	PUNCT
ap-328	38	10	"	"	PUNCT
ap-328	38	11	�	�	PROPN
ap-328	38	12	and	and	CCONJ
ap-328	38	13	�	�	PROPN
ap-328	38	14	�	�	PROPN
ap-328	38	15	s	s	PART
ap-328	38	16	x	x	SYM
ap-328	38	17	y	y	PROPN
ap-328	38	18	,	,	PUNCT
ap-328	38	19	#	#	NOUN
ap-328	38	20	�	�	PROPN
ap-328	38	21	offers	offer	VERB
ap-328	38	22	simplified	simplified	ADJ
ap-328	38	23	evaluations	evaluation	NOUN
ap-328	38	24	of	of	ADP
ap-328	38	25	the	the	DET
ap-328	38	26	variance	variance	NOUN
ap-328	38	27	.	.	PUNCT
ap-328	39	1	thus	thus	ADV
ap-328	39	2	,	,	PUNCT
ap-328	39	3	having	have	VERB
ap-328	39	4	�	�	PROPN
ap-328	39	5	�	�	PROPN
ap-328	39	6	s	s	PART
ap-328	39	7	x	x	SYM
ap-328	39	8	y	y	PROPN
ap-328	39	9	,	,	PUNCT
ap-328	39	10	"	"	PUNCT
ap-328	39	11	�	�	PROPN
ap-328	39	12	from	from	ADP
ap-328	39	13	equation	equation	NOUN
ap-328	39	14	(	(	PUNCT
ap-328	39	15	8)	8)	NUM
ap-328	39	16	,	,	PUNCT
ap-328	39	17	c1	c1	PROPN
ap-328	39	18	$	$	SYM
ap-328	39	19	�	�	PROPN
ap-328	39	20	cn	cn	PROPN
ap-328	39	21	$	$	SYM
ap-328	39	22	0	0	NUM
ap-328	39	23	n	n	PRON
ap-328	39	24	�	�	NOUN
ap-328	39	25	%	%	NOUN
ap-328	39	26	2	2	NUM
ap-328	39	27	3	3	NUM
ap-328	39	28	,	,	PUNCT
ap-328	39	29	,	,	PUNCT
ap-328	39	30	(	(	PUNCT
ap-328	39	31	10	10	NUM
ap-328	39	32	)	)	PUNCT
ap-328	39	33	the	the	DET
ap-328	39	34	correlation	correlation	NOUN
ap-328	39	35	function	function	NOUN
ap-328	39	36	of	of	ADP
ap-328	39	37	the	the	DET
ap-328	39	38	transformation	transformation	NOUN
ap-328	39	39	g{h(x	g{h(x	PROPN
ap-328	39	40	,	,	PUNCT
ap-328	39	41	y	y	PROPN
ap-328	39	42	)	)	PUNCT
ap-328	39	43	}	}	PUNCT
ap-328	39	44	from	from	ADP
ap-328	39	45	equation	equation	NOUN
ap-328	39	46	(	(	PUNCT
ap-328	39	47	6	6	NUM
ap-328	39	48	)	)	PUNCT
ap-328	39	49	is	be	AUX
ap-328	39	50	reported	report	VERB
ap-328	39	51	approximately	approximately	ADV
ap-328	39	52	as	as	ADP
ap-328	39	53	�	�	PROPN
ap-328	39	54	�	�	PROPN
ap-328	39	55	�	�	PROPN
ap-328	39	56	�	�	PROPN
ap-328	39	57	kg	kg	PROPN
ap-328	39	58	�	�	PROPN
ap-328	39	59	�	�	PROPN
ap-328	39	60	�	�	PROPN
ap-328	39	61	�	�	PROPN
ap-328	39	62	�	�	PROPN
ap-328	39	63	�	�	PROPN
ap-328	39	64	�	�	PROPN
ap-328	39	65	1	1	NUM
ap-328	39	66	2	2	NUM
ap-328	39	67	1	1	NUM
ap-328	39	68	2	2	NUM
ap-328	39	69	,	,	PUNCT
ap-328	39	70	,	,	PUNCT
ap-328	39	71	$	$	X
ap-328	39	72	.	.	PUNCT
ap-328	40	1	(	(	PUNCT
ap-328	40	2	11	11	NUM
ap-328	40	3	)	)	PUNCT
ap-328	40	4	by	by	ADP
ap-328	40	5	using	use	VERB
ap-328	40	6	�	�	PROPN
ap-328	40	7	�	�	PROPN
ap-328	40	8	s	s	PART
ap-328	40	9	x	x	SYM
ap-328	40	10	y	y	PROPN
ap-328	40	11	,	,	PUNCT
ap-328	40	12	#	#	NOUN
ap-328	40	13	�	�	PROPN
ap-328	40	14	from	from	ADP
ap-328	40	15	equation	equation	NOUN
ap-328	40	16	(	(	PUNCT
ap-328	40	17	8)	8)	NUM
ap-328	40	18	we	we	PRON
ap-328	40	19	obtain	obtain	VERB
ap-328	40	20	c1	c1	PROPN
ap-328	40	21	0	0	NUM
ap-328	40	22	$	$	SYM
ap-328	40	23	�	�	PROPN
ap-328	40	24	�	�	PROPN
ap-328	40	25	c	c	NOUN
ap-328	40	26	hn	hn	PROPN
ap-328	40	27	n$	n$	NOUN
ap-328	40	28	�	�	PROPN
ap-328	40	29	�	�	PROPN
ap-328	40	30	�	�	PROPN
ap-328	40	31	�	�	PROPN
ap-328	40	32	2	2	NUM
ap-328	40	33	0	0	NUM
ap-328	40	34	1	1	NUM
ap-328	40	35	2	2	NUM
ap-328	40	36	2	2	NUM
ap-328	40	37	�	�	PROPN
ap-328	40	38	�	�	PROPN
ap-328	40	39	.	.	PUNCT
ap-328	41	1	the	the	DET
ap-328	41	2	correlation	correlation	NOUN
ap-328	41	3	function	function	NOUN
ap-328	41	4	of	of	ADP
ap-328	41	5	the	the	DET
ap-328	41	6	transformation	transformation	NOUN
ap-328	41	7	g{h(x	g{h(x	PROPN
ap-328	41	8	,	,	PUNCT
ap-328	41	9	y	y	PROPN
ap-328	41	10	)	)	PUNCT
ap-328	41	11	}	}	PUNCT
ap-328	41	12	from	from	ADP
ap-328	41	13	equation	equation	NOUN
ap-328	41	14	(	(	PUNCT
ap-328	41	15	6	6	NUM
ap-328	41	16	)	)	PUNCT
ap-328	41	17	is	be	AUX
ap-328	41	18	�	�	PROPN
ap-328	41	19	�	�	PROPN
ap-328	41	20	�	�	PROPN
ap-328	41	21	�	�	PROPN
ap-328	41	22	�	�	PROPN
ap-328	41	23	�	�	PROPN
ap-328	41	24	k	k	PROPN
ap-328	41	25	c	c	PROPN
ap-328	41	26	ng	ng	PROPN
ap-328	41	27	n	n	ADP
ap-328	41	28	n	n	CCONJ
ap-328	41	29	n	n	CCONJ
ap-328	41	30	�	�	PROPN
ap-328	41	31	�	�	PROPN
ap-328	41	32	�	�	PROPN
ap-328	41	33	�	�	PROPN
ap-328	41	34	�	�	PROPN
ap-328	41	35	1	1	NUM
ap-328	41	36	2	2	NUM
ap-328	41	37	2	2	NUM
ap-328	41	38	1	1	NUM
ap-328	41	39	2	2	NUM
ap-328	41	40	2	2	NUM
ap-328	41	41	,	,	PUNCT
ap-328	41	42	,	,	PUNCT
ap-328	41	43	!	!	PUNCT
ap-328	42	1	$	$	SYM
ap-328	42	2	�	�	PROPN
ap-328	42	3	�	�	PROPN
ap-328	42	4	�	�	PROPN
ap-328	42	5	.	.	PUNCT
ap-328	43	1	(	(	PUNCT
ap-328	43	2	12	12	NUM
ap-328	43	3	)	)	PUNCT
ap-328	43	4	in	in	ADP
ap-328	43	5	both	both	DET
ap-328	43	6	cases	case	NOUN
ap-328	43	7	the	the	DET
ap-328	43	8	correlation	correlation	NOUN
ap-328	43	9	function	function	NOUN
ap-328	43	10	�	�	PROPN
ap-328	43	11	�	�	PROPN
ap-328	43	12	kg	kg	PROPN
ap-328	43	13	�	�	PROPN
ap-328	43	14	�	�	PROPN
ap-328	43	15	1	1	NUM
ap-328	43	16	2	2	NUM
ap-328	43	17	,	,	PUNCT
ap-328	43	18	is	be	AUX
ap-328	43	19	a	a	DET
ap-328	43	20	function	function	NOUN
ap-328	43	21	of	of	ADP
ap-328	43	22	only	only	ADV
ap-328	43	23	two	two	NUM
ap-328	43	24	variables	variable	NOUN
ap-328	43	25	�	�	PROPN
ap-328	43	26	1	1	NUM
ap-328	43	27	and	and	CCONJ
ap-328	43	28	�	�	PROPN
ap-328	43	29	2	2	NUM
ap-328	43	30	.	.	PUNCT
ap-328	44	1	thus	thus	ADV
ap-328	44	2	,	,	PUNCT
ap-328	44	3	for	for	ADP
ap-328	44	4	the	the	DET
ap-328	44	5	above	above	ADV
ap-328	44	6	-	-	PUNCT
ap-328	44	7	mentioned	mention	VERB
ap-328	44	8	approximations	approximation	NOUN
ap-328	44	9	,	,	PUNCT
ap-328	44	10	d(ps	d(ps	PROPN
ap-328	44	11	)	)	PUNCT
ap-328	44	12	can	can	AUX
ap-328	44	13	be	be	AUX
ap-328	44	14	calculated	calculate	VERB
ap-328	44	15	by	by	ADP
ap-328	44	16	using	use	VERB
ap-328	44	17	the	the	DET
ap-328	44	18	formula	formula	NOUN
ap-328	44	19	:	:	PUNCT
ap-328	44	20	�	�	PROPN
ap-328	44	21	�	�	PROPN
ap-328	44	22	�	�	PROPN
ap-328	44	23	�	�	PROPN
ap-328	44	24	d	d	PROPN
ap-328	44	25	p	p	NOUN
ap-328	44	26	l	l	NOUN
ap-328	44	27	l	l	NOUN
ap-328	44	28	l	l	NOUN
ap-328	44	29	l	l	NOUN
ap-328	44	30	kg	kg	NOUN
ap-328	44	31	l	l	NOUN
ap-328	44	32	s	s	X
ap-328	44	33	d	d	X
ap-328	44	34	d	d	X
ap-328	44	35	�	�	PROPN
ap-328	44	36	�	�	PROPN
ap-328	44	37	�	�	PROPN
ap-328	44	38	�	�	PROPN
ap-328	44	39	�	�	PROPN
ap-328	44	40	�	�	PROPN
ap-328	44	41	�	�	PROPN
ap-328	44	42	�	�	PROPN
ap-328	44	43	�	�	PROPN
ap-328	44	44	�	�	PROPN
ap-328	44	45	4	4	NUM
ap-328	44	46	1	1	NUM
ap-328	44	47	1	1	NUM
ap-328	44	48	1	1	NUM
ap-328	44	49	2	2	NUM
ap-328	44	50	1	1	NUM
ap-328	44	51	1	1	NUM
ap-328	44	52	2	2	NUM
ap-328	44	53	2	2	NUM
ap-328	44	54	1	1	NUM
ap-328	44	55	2	2	NUM
ap-328	44	56	1	1	NUM
ap-328	44	57	2	2	NUM
ap-328	44	58	0	0	NUM
ap-328	44	59	2	2	NUM
ap-328	44	60	�	�	PROPN
ap-328	44	61	�	�	PROPN
ap-328	44	62	�	�	PROPN
ap-328	44	63	�	�	PROPN
ap-328	44	64	�	�	PROPN
ap-328	44	65	�	�	PROPN
ap-328	44	66	,	,	PUNCT
ap-328	44	67	0	0	NUM
ap-328	44	68	1l	1l	NUM
ap-328	44	69	�	�	PROPN
ap-328	44	70	.	.	PUNCT
ap-328	45	1	(	(	PUNCT
ap-328	45	2	13	13	NUM
ap-328	45	3	)	)	PUNCT
ap-328	45	4	the	the	DET
ap-328	45	5	following	follow	VERB
ap-328	45	6	notation	notation	NOUN
ap-328	45	7	is	be	AUX
ap-328	45	8	now	now	ADV
ap-328	45	9	used	use	VERB
ap-328	45	10	:	:	PUNCT
ap-328	45	11	�	�	PROPN
ap-328	45	12	�	�	PROPN
ap-328	45	13	�	�	PROPN
ap-328	45	14	�	�	PROPN
ap-328	45	15	s	s	PART
ap-328	45	16	k	k	PROPN
ap-328	45	17	kk	kk	PROPN
ap-328	45	18	gg	gg	PROPN
ap-328	45	19	g	g	PROPN
ap-328	45	20	d	d	PROPN
ap-328	45	21	d	d	PROPN
ap-328	45	22	�	�	PROPN
ap-328	45	23	�	�	PROPN
ap-328	45	24	�	�	PROPN
ap-328	45	25	�	�	PROPN
ap-328	45	26	�	�	PROPN
ap-328	45	27	1	1	NUM
ap-328	45	28	0	0	NUM
ap-328	45	29	0	0	NUM
ap-328	45	30	1	1	NUM
ap-328	45	31	2	2	NUM
ap-328	45	32	1	1	NUM
ap-328	45	33	2	2	NUM
ap-328	45	34	00	00	NUM
ap-328	45	35	,	,	PUNCT
ap-328	45	36	,	,	PUNCT
ap-328	45	37	�	�	PROPN
ap-328	45	38	�	�	PROPN
ap-328	45	39	�	�	PROPN
ap-328	45	40	�	�	PROPN
ap-328	45	41	(	(	PUNCT
ap-328	45	42	14	14	NUM
ap-328	45	43	)	)	PUNCT
ap-328	45	44	with	with	ADP
ap-328	45	45	l	l	PROPN
ap-328	45	46	l	l	PROPN
ap-328	45	47	sk1	sk1	PROPN
ap-328	45	48	2	2	PROPN
ap-328	45	49	!	!	PUNCT
ap-328	45	50	"	"	PUNCT
ap-328	46	1	gequation	gequation	NOUN
ap-328	46	2	(	(	PUNCT
ap-328	46	3	13	13	NUM
ap-328	46	4	)	)	PUNCT
ap-328	46	5	may	may	AUX
ap-328	46	6	be	be	AUX
ap-328	46	7	written	write	VERB
ap-328	46	8	approximately	approximately	ADV
ap-328	46	9	:	:	PUNCT
ap-328	46	10	�	�	PROPN
ap-328	46	11	�	�	PROPN
ap-328	46	12	�	�	PROPN
ap-328	46	13	�	�	PROPN
ap-328	46	14	d	d	PROPN
ap-328	46	15	p	p	NOUN
ap-328	46	16	l	l	NOUN
ap-328	46	17	l	l	NOUN
ap-328	47	1	k	k	X
ap-328	47	2	sks	sks	PROPN
ap-328	47	3	g	g	PROPN
ap-328	47	4	g$	g$	PROPN
ap-328	47	5	4	4	NUM
ap-328	47	6	0	0	NUM
ap-328	47	7	0	0	NUM
ap-328	47	8	1	1	NUM
ap-328	47	9	2	2	NUM
ap-328	47	10	,	,	PUNCT
ap-328	47	11	.	.	PUNCT
ap-328	48	1	(	(	PUNCT
ap-328	48	2	15	15	X
ap-328	48	3	)	)	PUNCT
ap-328	48	4	�	�	PROPN
ap-328	48	5	�	�	PROPN
ap-328	48	6	kg	kg	PROPN
ap-328	48	7	0	0	NUM
ap-328	48	8	0	0	NUM
ap-328	48	9	,	,	PUNCT
ap-328	48	10	is	be	AUX
ap-328	48	11	the	the	DET
ap-328	48	12	variance	variance	NOUN
ap-328	48	13	of	of	ADP
ap-328	48	14	g{h(x	g{h(x	PROPN
ap-328	48	15	,	,	PUNCT
ap-328	48	16	y	y	PROPN
ap-328	48	17	)	)	PUNCT
ap-328	48	18	}	}	PUNCT
ap-328	48	19	.	.	PUNCT
ap-328	49	1	it	it	PRON
ap-328	49	2	is	be	AUX
ap-328	49	3	not	not	PART
ap-328	49	4	possible	possible	ADJ
ap-328	49	5	to	to	PART
ap-328	49	6	carry	carry	VERB
ap-328	49	7	out	out	ADP
ap-328	49	8	analogue	analogue	NOUN
ap-328	49	9	measurements	measurement	NOUN
ap-328	49	10	of	of	ADP
ap-328	49	11	the	the	DET
ap-328	49	12	topographic	topographic	PROPN
ap-328	49	13	parameter	parameter	PROPN
ap-328	49	14	ps	ps	PROPN
ap-328	49	15	.	.	PROPN
ap-328	50	1	therefore	therefore	ADV
ap-328	50	2	the	the	DET
ap-328	50	3	analogue	analogue	NOUN
ap-328	50	4	-	-	PUNCT
ap-328	50	5	discrete	discrete	ADJ
ap-328	50	6	and	and	CCONJ
ap-328	50	7	discrete	discrete	ADJ
ap-328	50	8	methods	method	NOUN
ap-328	50	9	are	be	AUX
ap-328	50	10	the	the	DET
ap-328	50	11	only	only	ADJ
ap-328	50	12	ones	one	NOUN
ap-328	50	13	that	that	PRON
ap-328	50	14	can	can	AUX
ap-328	50	15	be	be	AUX
ap-328	50	16	used	use	VERB
ap-328	50	17	to	to	PART
ap-328	50	18	measure	measure	VERB
ap-328	50	19	the	the	DET
ap-328	50	20	topographic	topographic	ADJ
ap-328	50	21	parameters	parameter	NOUN
ap-328	50	22	.	.	PUNCT
ap-328	51	1	with	with	ADP
ap-328	51	2	analogue	analogue	NOUN
ap-328	51	3	-	-	PUNCT
ap-328	51	4	discrete	discrete	ADJ
ap-328	51	5	measurements	measurement	NOUN
ap-328	51	6	the	the	DET
ap-328	51	7	averaging	averaging	NOUN
ap-328	51	8	operator	operator	NOUN
ap-328	51	9	is	be	AUX
ap-328	51	10	:	:	PUNCT
ap-328	51	11	�	�	PROPN
ap-328	51	12	�	�	PROPN
ap-328	51	13	�	�	PROPN
ap-328	51	14	�	�	PROPN
ap-328	51	15	�	�	PROPN
ap-328	51	16	,	,	PUNCT
ap-328	51	17	p	p	NOUN
ap-328	51	18	n	n	NOUN
ap-328	51	19	l	l	NOUN
ap-328	51	20	g	g	NOUN
ap-328	52	1	h	h	NOUN
ap-328	53	1	i	i	NOUN
ap-328	53	2	y	y	VERB
ap-328	53	3	y	y	INTJ
ap-328	53	4	l	l	NOUN
ap-328	54	1	i	i	PRON
ap-328	54	2	n	n	NOUN
ap-328	54	3	s	s	PROPN
ap-328	54	4	d	d	PROPN
ap-328	54	5	�	�	PROPN
ap-328	54	6	�	�	PROPN
ap-328	54	7	�	�	PROPN
ap-328	54	8	1	1	NUM
ap-328	54	9	1	1	NUM
ap-328	54	10	2	2	NUM
ap-328	54	11	1	1	NUM
ap-328	54	12	01	01	NUM
ap-328	54	13	21	21	NUM
ap-328	54	14	&	&	CCONJ
ap-328	54	15	(	(	PUNCT
ap-328	54	16	16	16	NUM
ap-328	54	17	)	)	PUNCT
ap-328	54	18	where	where	SCONJ
ap-328	54	19	&	&	CCONJ
ap-328	54	20	1	1	NUM
ap-328	54	21	is	be	AUX
ap-328	54	22	the	the	DET
ap-328	54	23	sampling	sampling	NOUN
ap-328	54	24	in	in	ADP
ap-328	54	25	the	the	DET
ap-328	54	26	sampling	sample	VERB
ap-328	54	27	interval	interval	NOUN
ap-328	54	28	between	between	ADP
ap-328	54	29	the	the	DET
ap-328	54	30	profiles	profile	NOUN
ap-328	54	31	and	and	CCONJ
ap-328	54	32	n1	n1	NOUN
ap-328	54	33	is	be	AUX
ap-328	54	34	the	the	DET
ap-328	54	35	number	number	NOUN
ap-328	54	36	of	of	ADP
ap-328	54	37	profiles	profile	NOUN
ap-328	54	38	.	.	PUNCT
ap-328	55	1	the	the	DET
ap-328	55	2	evaluation	evaluation	NOUN
ap-328	55	3	of	of	ADP
ap-328	55	4	the	the	DET
ap-328	55	5	parameter	parameter	NOUN
ap-328	55	6	in	in	ADP
ap-328	55	7	equation	equation	NOUN
ap-328	55	8	(	(	PUNCT
ap-328	55	9	2	2	NUM
ap-328	55	10	)	)	PUNCT
ap-328	55	11	in	in	ADP
ap-328	55	12	the	the	DET
ap-328	55	13	general	general	ADJ
ap-328	55	14	case	case	NOUN
ap-328	55	15	is	be	AUX
ap-328	55	16	therefore	therefore	ADV
ap-328	55	17	shifted	shift	VERB
ap-328	55	18	together	together	ADV
ap-328	55	19	with	with	ADP
ap-328	55	20	the	the	DET
ap-328	55	21	task	task	NOUN
ap-328	55	22	of	of	ADP
ap-328	55	23	determining	determine	VERB
ap-328	55	24	the	the	DET
ap-328	55	25	parameter	parameter	NOUN
ap-328	55	26	probability	probability	NOUN
ap-328	55	27	characteristics	characteristic	NOUN
ap-328	55	28	,	,	PUNCT
ap-328	55	29	i.e.	i.e.	X
ap-328	55	30	,	,	PUNCT
ap-328	55	31	for	for	ADP
ap-328	55	32	its	its	PRON
ap-328	55	33	mathematical	mathematical	ADJ
ap-328	55	34	expectation	expectation	NOUN
ap-328	55	35	and	and	CCONJ
ap-328	55	36	variance	variance	NOUN
ap-328	55	37	it	it	PRON
ap-328	55	38	is	be	AUX
ap-328	55	39	necessary	necessary	ADJ
ap-328	55	40	to	to	PART
ap-328	55	41	determine	determine	VERB
ap-328	55	42	the	the	DET
ap-328	55	43	shift	shift	NOUN
ap-328	55	44	in	in	ADP
ap-328	55	45	the	the	DET
ap-328	55	46	value	value	NOUN
ap-328	55	47	of	of	ADP
ap-328	55	48	the	the	DET
ap-328	55	49	evaluation	evaluation	NOUN
ap-328	55	50	of	of	ADP
ap-328	55	51	equation	equation	NOUN
ap-328	55	52	(	(	PUNCT
ap-328	55	53	16	16	NUM
ap-328	55	54	)	)	PUNCT
ap-328	55	55	with	with	ADP
ap-328	55	56	respect	respect	NOUN
ap-328	55	57	to	to	ADP
ap-328	55	58	that	that	PRON
ap-328	55	59	of	of	ADP
ap-328	55	60	equation	equation	NOUN
ap-328	55	61	(	(	PUNCT
ap-328	55	62	2	2	NUM
ap-328	55	63	)	)	PUNCT
ap-328	55	64	.	.	PUNCT
ap-328	56	1	we	we	PRON
ap-328	56	2	can	can	AUX
ap-328	56	3	regard	regard	VERB
ap-328	56	4	the	the	DET
ap-328	56	5	probability	probability	NOUN
ap-328	56	6	characteristics	characteristic	NOUN
ap-328	56	7	of	of	ADP
ap-328	56	8	the	the	DET
ap-328	56	9	evaluation	evaluation	NOUN
ap-328	56	10	(	(	PUNCT
ap-328	56	11	16	16	NUM
ap-328	56	12	)	)	PUNCT
ap-328	56	13	for	for	ADP
ap-328	56	14	that	that	DET
ap-328	56	15	particular	particular	ADJ
ap-328	56	16	transformation	transformation	NOUN
ap-328	56	17	as	as	ADP
ap-328	56	18	�	�	PROPN
ap-328	56	19	�	�	PROPN
ap-328	56	20	�	�	PROPN
ap-328	56	21	�	�	PROPN
ap-328	56	22	�	�	PROPN
ap-328	56	23	�	�	PROPN
ap-328	57	1	g	g	PROPN
ap-328	57	2	h	h	NOUN
ap-328	58	1	i	i	PRON
ap-328	58	2	y	y	INTJ
ap-328	59	1	h	h	VERB
ap-328	60	1	i	i	PROPN
ap-328	60	2	y	y	PROPN
ap-328	60	3	&	&	CCONJ
ap-328	60	4	&	&	CCONJ
ap-328	60	5	1	1	NUM
ap-328	60	6	1	1	NUM
ap-328	60	7	,	,	PUNCT
ap-328	60	8	,	,	PUNCT
ap-328	60	9	�	�	PROPN
ap-328	60	10	.	.	PUNCT
ap-328	61	1	(	(	PUNCT
ap-328	61	2	17	17	NUM
ap-328	61	3	)	)	PUNCT
ap-328	61	4	�	�	PROPN
ap-328	61	5	ras	ras	PROPN
ap-328	61	6	represents	represent	VERB
ap-328	61	7	the	the	DET
ap-328	61	8	analogue	analogue	NOUN
ap-328	61	9	-	-	PUNCT
ap-328	61	10	discrete	discrete	NOUN
ap-328	61	11	evaluation	evaluation	NOUN
ap-328	61	12	of	of	ADP
ap-328	61	13	the	the	DET
ap-328	61	14	topographic	topographic	PROPN
ap-328	61	15	parameter	parameter	PROPN
ap-328	61	16	ras	ras	PROPN
ap-328	61	17	.	.	PUNCT
ap-328	62	1	the	the	DET
ap-328	62	2	mathematical	mathematical	ADJ
ap-328	62	3	expectation	expectation	NOUN
ap-328	62	4	of	of	ADP
ap-328	62	5	the	the	DET
ap-328	62	6	transformation	transformation	NOUN
ap-328	62	7	(	(	PUNCT
ap-328	62	8	17	17	NUM
ap-328	62	9	)	)	PUNCT
ap-328	62	10	will	will	AUX
ap-328	62	11	be	be	AUX
ap-328	62	12	determined	determine	VERB
ap-328	62	13	by	by	ADP
ap-328	62	14	the	the	DET
ap-328	62	15	expression	expression	NOUN
ap-328	62	16	in	in	ADP
ap-328	62	17	equation	equation	NOUN
ap-328	62	18	(	(	PUNCT
ap-328	62	19	4	4	NUM
ap-328	62	20	)	)	PUNCT
ap-328	62	21	with	with	ADP
ap-328	62	22	�	�	PROPN
ap-328	62	23	�	�	PROPN
ap-328	62	24	�	�	PROPN
ap-328	62	25	�	�	PROPN
ap-328	62	26	s	s	PART
ap-328	62	27	x	x	X
ap-328	62	28	y	y	PROPN
ap-328	62	29	s	s	PROPN
ap-328	62	30	i	i	NOUN
ap-328	62	31	y	y	PROPN
ap-328	62	32	,	,	PUNCT
ap-328	62	33	,	,	PUNCT
ap-328	62	34	�	�	PROPN
ap-328	62	35	&	&	CCONJ
ap-328	62	36	1	1	NUM
ap-328	62	37	.	.	PUNCT
ap-328	63	1	the	the	DET
ap-328	63	2	mathematical	mathematical	ADJ
ap-328	63	3	expectation	expectation	NOUN
ap-328	63	4	of	of	ADP
ap-328	63	5	the	the	DET
ap-328	63	6	�	�	PROPN
ap-328	63	7	ras	ras	PROPN
ap-328	63	8	parameter	parameter	NOUN
ap-328	63	9	is	be	AUX
ap-328	63	10	identically	identically	ADV
ap-328	63	11	:	:	PUNCT
ap-328	63	12	�	�	PROPN
ap-328	63	13	�	�	PROPN
ap-328	63	14	�	�	PROPN
ap-328	63	15	�	�	PROPN
ap-328	63	16	�	�	PROPN
ap-328	63	17	�	�	PROPN
ap-328	63	18	e	e	ADP
ap-328	63	19	r	r	NOUN
ap-328	63	20	n	n	NOUN
ap-328	63	21	l	l	NOUN
ap-328	63	22	e	e	NOUN
ap-328	64	1	h	h	NOUN
ap-328	65	1	i	i	INTJ
ap-328	65	2	y	y	VERB
ap-328	65	3	y	y	INTJ
ap-328	65	4	l	l	NOUN
ap-328	66	1	i	i	PRON
ap-328	66	2	n	n	VERB
ap-328	66	3	�	�	PROPN
ap-328	66	4	,	,	PUNCT
ap-328	66	5	as	as	SCONJ
ap-328	66	6	d	d	PROPN
ap-328	66	7	�	�	PROPN
ap-328	66	8	�	�	PROPN
ap-328	66	9	�	�	PROPN
ap-328	66	10	1	1	NUM
ap-328	66	11	1	1	NUM
ap-328	66	12	1	1	NUM
ap-328	66	13	2	2	NUM
ap-328	66	14	1	1	NUM
ap-328	66	15	01	01	NUM
ap-328	66	16	21	21	NUM
ap-328	66	17	&	&	CCONJ
ap-328	66	18	.	.	PUNCT
ap-328	67	1	(	(	PUNCT
ap-328	67	2	18	18	NUM
ap-328	67	3	)	)	PUNCT
ap-328	67	4	the	the	DET
ap-328	67	5	integrals	integral	NOUN
ap-328	67	6	in	in	ADP
ap-328	67	7	equation	equation	NOUN
ap-328	67	8	(	(	PUNCT
ap-328	67	9	18	18	NUM
ap-328	67	10	)	)	PUNCT
ap-328	67	11	are	be	AUX
ap-328	67	12	not	not	PART
ap-328	67	13	taken	take	VERB
ap-328	67	14	into	into	ADP
ap-328	67	15	account	account	NOUN
ap-328	67	16	,	,	PUNCT
ap-328	67	17	but	but	CCONJ
ap-328	67	18	if	if	SCONJ
ap-328	67	19	the	the	DET
ap-328	67	20	deterministic	deterministic	ADJ
ap-328	67	21	component	component	NOUN
ap-328	67	22	�	�	PROPN
ap-328	67	23	�	�	PROPN
ap-328	67	24	s	s	PART
ap-328	67	25	i	i	PRON
ap-328	67	26	y&1	y&1	NOUN
ap-328	67	27	,	,	PUNCT
ap-328	67	28	is	be	AUX
ap-328	67	29	linearized	linearize	VERB
ap-328	67	30	with	with	ADP
ap-328	67	31	a	a	DET
ap-328	67	32	small	small	ADJ
ap-328	67	33	error	error	NOUN
ap-328	67	34	using	use	VERB
ap-328	67	35	the	the	DET
ap-328	67	36	y	y	PROPN
ap-328	67	37	argument	argument	NOUN
ap-328	67	38	on	on	ADP
ap-328	67	39	the	the	DET
ap-328	67	40	terminal	terminal	ADJ
ap-328	67	41	number	number	NOUN
ap-328	67	42	of	of	ADP
ap-328	67	43	intervals	interval	NOUN
ap-328	67	44	the	the	DET
ap-328	67	45	length	length	NOUN
ap-328	67	46	of	of	ADP
ap-328	67	47	which	which	PRON
ap-328	67	48	is	be	AUX
ap-328	67	49	2	2	NUM
ap-328	67	50	then	then	ADV
ap-328	67	51	it	it	PRON
ap-328	67	52	is	be	AUX
ap-328	67	53	possible	possible	ADJ
ap-328	67	54	to	to	PART
ap-328	67	55	obtain	obtain	VERB
ap-328	67	56	an	an	DET
ap-328	67	57	exact	exact	ADJ
ap-328	67	58	expression	expression	NOUN
ap-328	67	59	for	for	ADP
ap-328	67	60	the	the	DET
ap-328	67	61	evaluation	evaluation	NOUN
ap-328	67	62	�	�	PROPN
ap-328	67	63	�	�	PROPN
ap-328	67	64	e	e	ADP
ap-328	67	65	r	r	NOUN
ap-328	67	66	�	�	PROPN
ap-328	67	67	as	as	ADP
ap-328	67	68	of	of	ADP
ap-328	67	69	the	the	DET
ap-328	67	70	topographic	topographic	PROPN
ap-328	67	71	parameter	parameter	PROPN
ap-328	67	72	ras	ras	PROPN
ap-328	67	73	.	.	PROPN
ap-328	68	1	for	for	ADP
ap-328	68	2	this	this	PRON
ap-328	68	3	,	,	PUNCT
ap-328	68	4	we	we	PRON
ap-328	68	5	expand	expand	VERB
ap-328	68	6	the	the	DET
ap-328	68	7	deterministic	deterministic	ADJ
ap-328	68	8	component	component	NOUN
ap-328	68	9	�	�	PROPN
ap-328	68	10	�	�	PROPN
ap-328	68	11	s	s	PART
ap-328	68	12	i	i	NOUN
ap-328	68	13	y&1	y&1	NOUN
ap-328	68	14	,	,	PUNCT
ap-328	68	15	in	in	ADP
ap-328	68	16	its	its	PRON
ap-328	68	17	taylor	taylor	PROPN
ap-328	68	18	series	series	NOUN
ap-328	68	19	by	by	ADP
ap-328	68	20	using	use	VERB
ap-328	68	21	the	the	DET
ap-328	68	22	y	y	PROPN
ap-328	68	23	argument	argument	NOUN
ap-328	68	24	up	up	ADP
ap-328	68	25	to	to	ADP
ap-328	68	26	the	the	DET
ap-328	68	27	linear	linear	ADJ
ap-328	68	28	terms	term	NOUN
ap-328	68	29	at	at	ADP
ap-328	68	30	the	the	DET
ap-328	68	31	point	point	NOUN
ap-328	68	32	j	j	NOUN
ap-328	69	1	=	=	SYM
ap-328	69	2	1	1	NUM
ap-328	69	3	,	,	PUNCT
ap-328	69	4	2	2	NUM
ap-328	69	5	,	,	PUNCT
ap-328	69	6	…	…	PUNCT
ap-328	69	7	,	,	PUNCT
ap-328	69	8	n	n	CCONJ
ap-328	69	9	:	:	PUNCT
ap-328	69	10	�	�	PROPN
ap-328	69	11	�	�	PROPN
ap-328	69	12	�	�	PROPN
ap-328	69	13	�	�	PROPN
ap-328	69	14	�	�	PROPN
ap-328	69	15	�	�	PROPN
ap-328	69	16	�	�	PROPN
ap-328	69	17	�	�	PROPN
ap-328	69	18	s	s	PART
ap-328	69	19	i	i	NOUN
ap-328	70	1	y	y	PROPN
ap-328	70	2	s	s	VERB
ap-328	71	1	i	i	PRON
ap-328	71	2	j	j	PROPN
ap-328	71	3	s	s	VERB
ap-328	72	1	i	i	INTJ
ap-328	72	2	j	j	PROPN
ap-328	72	3	y	y	PROPN
ap-328	72	4	y	y	PROPN
ap-328	72	5	&	&	CCONJ
ap-328	72	6	&	&	CCONJ
ap-328	72	7	&	&	CCONJ
ap-328	72	8	&	&	CCONJ
ap-328	72	9	&	&	CCONJ
ap-328	72	10	&	&	CCONJ
ap-328	72	11	1	1	NUM
ap-328	72	12	1	1	NUM
ap-328	72	13	2	2	NUM
ap-328	72	14	1	1	NUM
ap-328	72	15	2	2	NUM
ap-328	72	16	2	2	NUM
ap-328	72	17	,	,	PUNCT
ap-328	72	18	,	,	PUNCT
ap-328	72	19	,	,	PUNCT
ap-328	72	20	$	$	SYM
ap-328	72	21	�	�	PROPN
ap-328	72	22	�	�	PROPN
ap-328	72	23	.	.	PUNCT
ap-328	73	1	(	(	PUNCT
ap-328	73	2	19	19	NUM
ap-328	73	3	)	)	PUNCT
ap-328	73	4	by	by	ADP
ap-328	73	5	substituting	substitute	VERB
ap-328	73	6	equation	equation	NOUN
ap-328	73	7	(	(	PUNCT
ap-328	73	8	19	19	NUM
ap-328	73	9	)	)	PUNCT
ap-328	73	10	into	into	ADP
ap-328	73	11	equation	equation	NOUN
ap-328	73	12	(	(	PUNCT
ap-328	73	13	18	18	NUM
ap-328	73	14	)	)	PUNCT
ap-328	73	15	and	and	CCONJ
ap-328	73	16	taking	take	VERB
ap-328	73	17	into	into	ADP
ap-328	73	18	account	account	NOUN
ap-328	73	19	equation	equation	NOUN
ap-328	73	20	(	(	PUNCT
ap-328	73	21	4	4	NUM
ap-328	73	22	)	)	PUNCT
ap-328	73	23	,	,	PUNCT
ap-328	73	24	we	we	PRON
ap-328	73	25	obtain	obtain	VERB
ap-328	73	26	:	:	PUNCT
ap-328	73	27	�	�	PROPN
ap-328	73	28	�	�	PROPN
ap-328	73	29	�	�	PROPN
ap-328	73	30	�	�	PROPN
ap-328	73	31	e	e	PROPN
ap-328	73	32	r	r	NOUN
ap-328	73	33	n	n	PROPN
ap-328	73	34	l	l	NOUN
ap-328	73	35	j	j	PROPN
ap-328	74	1	j	j	PROPN
ap-328	74	2	j	j	PROPN
ap-328	74	3	n	n	CCONJ
ap-328	74	4	i	i	PROPN
ap-328	74	5	n	n	CCONJ
ap-328	74	6	�	�	PROPN
ap-328	74	7	exp	exp	NOUN
ap-328	74	8	as	as	ADP
ap-328	74	9	�	�	PROPN
ap-328	74	10	'	'	PART
ap-328	74	11	'	'	PUNCT
ap-328	74	12	�	�	PROPN
ap-328	74	13	�	�	PROPN
ap-328	74	14	�	�	PROPN
ap-328	74	15	�	�	PROPN
ap-328	74	16	�	�	PROPN
ap-328	74	17	�	�	PROPN
ap-328	74	18	�	�	PROPN
ap-328	74	19	�	�	PROPN
ap-328	74	20	�	�	PROPN
ap-328	74	21	1	1	NUM
ap-328	74	22	1	1	NUM
ap-328	74	23	2	2	NUM
ap-328	74	24	1	1	NUM
ap-328	74	25	2	2	NUM
ap-328	74	26	111	111	NUM
ap-328	74	27	1	1	NUM
ap-328	74	28	2	2	NUM
ap-328	74	29	2	2	NUM
ap-328	74	30	21	21	NUM
ap-328	74	31	&	&	CCONJ
ap-328	74	32	&	&	CCONJ
ap-328	74	33	�	�	PROPN
ap-328	74	34	�	�	PROPN
ap-328	74	35	�	�	PROPN
ap-328	74	36	�	�	PROPN
ap-328	74	37	�	�	PROPN
ap-328	74	38	�	�	PROPN
ap-328	74	39	�	�	PROPN
ap-328	74	40	�	�	PROPN
ap-328	74	41	�	�	PROPN
ap-328	74	42	�	�	PROPN
ap-328	74	43	�	�	PROPN
ap-328	74	44	�	�	PROPN
ap-328	74	45	�	�	PROPN
ap-328	74	46	�	�	PROPN
ap-328	75	1	ij	ij	INTJ
ap-328	75	2	ij	ij	INTJ
ap-328	75	3	ij	ij	INTJ
ap-328	75	4	ij	ij	INTJ
ap-328	75	5	ij	ij	INTJ
ap-328	75	6	ij	ij	INTJ
ap-328	75	7	y	y	PROPN
ap-328	75	8	y	y	PROPN
ap-328	75	9	y	y	PROPN
ap-328	75	10	�	�	PROPN
ap-328	75	11	�	�	PROPN
ap-328	75	12	�	�	PROPN
ap-328	75	13	�	�	PROPN
ap-328	75	14	�	�	PROPN
ap-328	75	15	�	�	PROPN
ap-328	75	16	�	�	PROPN
ap-328	75	17	�	�	PROPN
ap-328	75	18	�	�	PROPN
ap-328	75	19	�	�	PROPN
ap-328	75	20	�	�	PROPN
ap-328	75	21	�	�	PROPN
ap-328	75	22	�	�	PROPN
ap-328	75	23	�	�	PROPN
ap-328	75	24	�	�	PROPN
ap-328	75	25	�	�	PROPN
ap-328	75	26	�	�	PROPN
ap-328	75	27	�	�	PROPN
ap-328	75	28	�	�	PROPN
ap-328	75	29	2	2	NUM
ap-328	75	30	2	2	NUM
ap-328	75	31	1	1	NUM
ap-328	75	32	2	2	NUM
ap-328	75	33	2	2	NUM
ap-328	75	34	2	2	NUM
ap-328	75	35	�	�	PROPN
ap-328	75	36	�	�	PROPN
ap-328	75	37	�	�	PROPN
ap-328	75	38	�	�	PROPN
ap-328	75	39	�	�	PROPN
ap-328	75	40	�	�	PROPN
ap-328	75	41	�	�	PROPN
ap-328	75	42	dy	dy	X
ap-328	75	43	(	(	PUNCT
ap-328	75	44	20	20	NUM
ap-328	75	45	)	)	PUNCT
ap-328	76	1	where	where	SCONJ
ap-328	76	2	�	�	PROPN
ap-328	76	3	�	�	PROPN
ap-328	76	4	�	�	PROPN
ap-328	76	5	�	�	PROPN
ap-328	76	6	�	�	PROPN
ap-328	76	7	�	�	PROPN
ap-328	76	8	�	�	PROPN
ap-328	76	9	�	�	PROPN
ap-328	76	10	ij	ij	NOUN
ap-328	77	1	ij	ij	X
ap-328	78	1	s	s	VERB
ap-328	79	1	i	i	INTJ
ap-328	79	2	j	j	PROPN
ap-328	80	1	y	y	PROPN
ap-328	80	2	s	s	PROPN
ap-328	81	1	i	i	PRON
ap-328	81	2	j	j	PROPN
ap-328	81	3	s	s	VERB
ap-328	82	1	i	i	INTJ
ap-328	82	2	j	j	PROPN
ap-328	82	3	y	y	PROPN
ap-328	82	4	j	j	PROPN
ap-328	82	5	�	�	PROPN
ap-328	82	6	�	�	PROPN
ap-328	82	7	�	�	PROPN
ap-328	82	8	&	&	CCONJ
ap-328	82	9	&	&	CCONJ
ap-328	82	10	&	&	CCONJ
ap-328	82	11	&	&	CCONJ
ap-328	82	12	&	&	CCONJ
ap-328	82	13	&	&	CCONJ
ap-328	82	14	&	&	CCONJ
ap-328	82	15	1	1	NUM
ap-328	82	16	2	2	NUM
ap-328	82	17	1	1	NUM
ap-328	82	18	2	2	NUM
ap-328	82	19	1	1	NUM
ap-328	82	20	2	2	NUM
ap-328	82	21	2	2	NUM
ap-328	82	22	,	,	PUNCT
ap-328	82	23	,	,	PUNCT
ap-328	82	24	,	,	PUNCT
ap-328	82	25	.	.	PUNCT
ap-328	83	1	(	(	PUNCT
ap-328	83	2	21	21	NUM
ap-328	83	3	)	)	PUNCT
ap-328	83	4	the	the	DET
ap-328	83	5	integrals	integral	NOUN
ap-328	83	6	in	in	ADP
ap-328	83	7	both	both	DET
ap-328	83	8	components	component	NOUN
ap-328	83	9	of	of	ADP
ap-328	83	10	expression	expression	NOUN
ap-328	83	11	(	(	PUNCT
ap-328	83	12	20	20	NUM
ap-328	83	13	)	)	PUNCT
ap-328	83	14	can	can	AUX
ap-328	83	15	be	be	AUX
ap-328	83	16	tabulated	tabulate	VERB
ap-328	83	17	[	[	X
ap-328	83	18	4	4	NUM
ap-328	83	19	]	]	PUNCT
ap-328	83	20	.	.	PUNCT
ap-328	84	1	then	then	ADV
ap-328	84	2	after	after	ADP
ap-328	84	3	transformation	transformation	NOUN
ap-328	84	4	we	we	PRON
ap-328	84	5	obtain	obtain	VERB
ap-328	84	6	:	:	PUNCT
ap-328	84	7	36	36	NUM
ap-328	84	8	acta	acta	PROPN
ap-328	84	9	polytechnica	polytechnica	PROPN
ap-328	84	10	vol	vol	NOUN
ap-328	84	11	.	.	PUNCT
ap-328	85	1	42	42	NUM
ap-328	85	2	no	no	NOUN
ap-328	85	3	.	.	PUNCT
ap-328	86	1	2/2002	2/2002	NUM
ap-328	86	2	�	�	PROPN
ap-328	86	3	�	�	PROPN
ap-328	86	4	e	e	NOUN
ap-328	86	5	r	r	NOUN
ap-328	86	6	n	n	NOUN
ap-328	86	7	l	l	NOUN
ap-328	86	8	c	c	NOUN
ap-328	86	9	a	a	DET
ap-328	86	10	c	c	NOUN
ap-328	86	11	a	a	DET
ap-328	86	12	cd	cd	PROPN
ap-328	86	13	j	j	PROPN
ap-328	86	14	n	n	CCONJ
ap-328	86	15	i	i	PRON
ap-328	86	16	n	n	ADV
ap-328	86	17	ij	ij	INTJ
ap-328	87	1	ij	ij	INTJ
ap-328	87	2	ij	ij	INTJ
ap-328	87	3	ij	ij	INTJ
ap-328	87	4	ij	ij	INTJ
ap-328	87	5	�	�	PROPN
ap-328	87	6	as	as	ADP
ap-328	87	7	�	�	PROPN
ap-328	87	8	�	�	PROPN
ap-328	87	9	�	�	PROPN
ap-328	87	10	�	�	PROPN
ap-328	87	11	�	�	PROPN
ap-328	87	12	1	1	NUM
ap-328	87	13	1	1	NUM
ap-328	87	14	1	1	NUM
ap-328	87	15	2	2	NUM
ap-328	87	16	1	1	NUM
ap-328	87	17	4	4	NUM
ap-328	87	18	2	2	NUM
ap-328	87	19	1	1	NUM
ap-328	87	20	2	2	NUM
ap-328	87	21	11	11	NUM
ap-328	87	22	1	1	NUM
ap-328	87	23	�	�	PROPN
ap-328	87	24	�	�	PROPN
ap-328	87	25	�	�	PROPN
ap-328	87	26	�	�	PROPN
ap-328	87	27	�	�	PROPN
ap-328	87	28	�	�	PROPN
ap-328	87	29	�	�	PROPN
ap-328	87	30	�	�	PROPN
ap-328	87	31	�	�	PROPN
ap-328	87	32	�	�	PROPN
ap-328	87	33	�	�	PROPN
ap-328	87	34	�	�	PROPN
ap-328	87	35	�	�	PROPN
ap-328	87	36	�	�	PROPN
ap-328	87	37	�	�	PROPN
ap-328	87	38	�	�	PROPN
ap-328	87	39	�	�	PROPN
ap-328	87	40	�	�	PROPN
ap-328	87	41	�	�	PROPN
ap-328	87	42	�	�	PROPN
ap-328	87	43	�	�	PROPN
ap-328	87	44	(	(	PUNCT
ap-328	87	45	a	a	DET
ap-328	87	46	cij	cij	PROPN
ap-328	87	47	(	(	PUNCT
ap-328	87	48	22	22	NUM
ap-328	87	49	)	)	PUNCT
ap-328	87	50	�	�	PROPN
ap-328	87	51	�	�	PROPN
ap-328	87	52	(	(	PUNCT
ap-328	87	53	�	�	PROPN
ap-328	87	54	�	�	PROPN
ap-328	87	55	�	�	PROPN
ap-328	87	56	�	�	PROPN
ap-328	87	57	�	�	PROPN
ap-328	87	58	�	�	PROPN
ap-328	87	59	�	�	PROPN
ap-328	87	60	�	�	PROPN
ap-328	87	61	�	�	PROPN
ap-328	87	62	�	�	PROPN
ap-328	87	63	�	�	PROPN
ap-328	88	1	b	b	PROPN
ap-328	88	2	c	c	PROPN
ap-328	88	3	b	b	PROPN
ap-328	88	4	cd	cd	PROPN
ap-328	88	5	b	b	PROPN
ap-328	88	6	c	c	PROPN
ap-328	88	7	aij	aij	PROPN
ap-328	88	8	ij	ij	X
ap-328	88	9	ij	ij	INTJ
ap-328	88	10	ij	ij	INTJ
ap-328	88	11	ij	ij	INTJ
ap-328	88	12	ij	ij	INTJ
ap-328	88	13	ij	ij	INTJ
ap-328	88	14	ij	ij	INTJ
ap-328	88	15	�	�	PROPN
ap-328	88	16	�	�	PROPN
ap-328	88	17	�	�	PROPN
ap-328	88	18	1	1	NUM
ap-328	88	19	4	4	NUM
ap-328	88	20	2	2	NUM
ap-328	88	21	1	1	NUM
ap-328	88	22	2	2	NUM
ap-328	88	23	exp	exp	NOUN
ap-328	88	24	�	�	PROPN
ap-328	88	25	�	�	PROPN
ap-328	88	26	�	�	PROPN
ap-328	88	27	�	�	PROPN
ap-328	88	28	�	�	PROPN
ap-328	88	29	�	�	PROPN
ap-328	88	30	�	�	PROPN
ap-328	88	31	�	�	PROPN
ap-328	88	32	c	c	PROPN
ap-328	88	33	a	a	DET
ap-328	88	34	b	b	PROPN
ap-328	88	35	c	c	NOUN
ap-328	88	36	b	b	SYM
ap-328	89	1	ij	ij	INTJ
ap-328	89	2	ij	ij	INTJ
ap-328	89	3	ij	ij	INTJ
ap-328	89	4	ij	ij	INTJ
ap-328	89	5	2	2	NUM
ap-328	89	6	2	2	NUM
ap-328	89	7	1	1	NUM
ap-328	89	8	2	2	NUM
ap-328	89	9	2	2	NUM
ap-328	89	10	2	2	NUM
ap-328	89	11	�	�	PROPN
ap-328	89	12	�	�	PROPN
ap-328	89	13	exp	exp	NOUN
ap-328	89	14	where	where	SCONJ
ap-328	89	15	aij	aij	PROPN
ap-328	89	16	ij	ij	PROPN
ap-328	89	17	ij	ij	PROPN
ap-328	89	18	�	�	PROPN
ap-328	89	19	�	�	PROPN
ap-328	89	20	�	�	PROPN
ap-328	89	21	�	�	PROPN
ap-328	89	22	&	&	CCONJ
ap-328	89	23	1	1	NUM
ap-328	89	24	�	�	PROPN
ap-328	89	25	�	�	PROPN
ap-328	89	26	b	b	PROPN
ap-328	89	27	jij	jij	PROPN
ap-328	89	28	ij	ij	PROPN
ap-328	89	29	ij	ij	PROPN
ap-328	89	30	�	�	PROPN
ap-328	89	31	�	�	PROPN
ap-328	89	32	�	�	PROPN
ap-328	89	33	�	�	PROPN
ap-328	89	34	�	�	PROPN
ap-328	89	35	1	1	NUM
ap-328	89	36	1	1	NUM
ap-328	89	37	&	&	CCONJ
ap-328	89	38	c	c	PROPN
ap-328	89	39	�	�	PROPN
ap-328	89	40	1	1	NUM
ap-328	89	41	2	2	NUM
ap-328	89	42	1	1	NUM
ap-328	89	43	2	2	NUM
ap-328	89	44	�	�	NOUN
ap-328	89	45	dij	dij	NOUN
ap-328	89	46	ij	ij	NUM
ap-328	89	47	�	�	PROPN
ap-328	89	48	2	2	NUM
ap-328	89	49	2	2	NUM
ap-328	89	50	1	1	NUM
ap-328	89	51	2	2	NUM
ap-328	89	52	�	�	PROPN
ap-328	89	53	�	�	PROPN
ap-328	89	54	�	�	PROPN
ap-328	89	55	the	the	DET
ap-328	89	56	�	�	PROPN
ap-328	89	57	�	�	PROPN
ap-328	89	58	�	�	PROPN
ap-328	89	59	z	z	PROPN
ap-328	89	60	and	and	CCONJ
ap-328	89	61	exp	exp	PROPN
ap-328	89	62	(	(	PUNCT
ap-328	89	63	)	)	PUNCT
ap-328	89	64	�	�	PROPN
ap-328	89	65	z2	z2	PROPN
ap-328	89	66	and	and	CCONJ
ap-328	89	67	the	the	DET
ap-328	89	68	standard	standard	ADJ
ap-328	89	69	calculation	calculation	NOUN
ap-328	89	70	program	program	NOUN
ap-328	89	71	for	for	ADP
ap-328	89	72	the	the	DET
ap-328	89	73	�	�	PROPN
ap-328	89	74	�	�	PROPN
ap-328	89	75	�	�	PROPN
ap-328	89	76	z	z	PROPN
ap-328	89	77	and	and	CCONJ
ap-328	89	78	exp	exp	PROPN
ap-328	89	79	(	(	PUNCT
ap-328	89	80	)	)	PUNCT
ap-328	89	81	�	�	PROPN
ap-328	89	82	z2	z2	NOUN
ap-328	89	83	functions	function	NOUN
ap-328	89	84	can	can	AUX
ap-328	89	85	be	be	AUX
ap-328	89	86	used	use	VERB
ap-328	89	87	to	to	PART
ap-328	89	88	calculate	calculate	VERB
ap-328	89	89	e	e	PROPN
ap-328	89	90	r	r	X
ap-328	89	91	(	(	PUNCT
ap-328	89	92	�	�	PROPN
ap-328	89	93	)	)	PUNCT
ap-328	89	94	as	as	ADP
ap-328	89	95	on	on	ADP
ap-328	89	96	the	the	DET
ap-328	89	97	computer	computer	NOUN
ap-328	89	98	.	.	PUNCT
ap-328	90	1	formula	formula	NOUN
ap-328	90	2	(	(	PUNCT
ap-328	90	3	22	22	NUM
ap-328	90	4	)	)	PUNCT
ap-328	90	5	shows	show	VERB
ap-328	90	6	that	that	SCONJ
ap-328	90	7	the	the	DET
ap-328	90	8	mathematical	mathematical	ADJ
ap-328	90	9	expectation	expectation	NOUN
ap-328	90	10	of	of	ADP
ap-328	90	11	the	the	DET
ap-328	90	12	parameter	parameter	PROPN
ap-328	90	13	�	�	PROPN
ap-328	90	14	ras	ras	PROPN
ap-328	90	15	depends	depend	VERB
ap-328	90	16	on	on	ADP
ap-328	90	17	the	the	DET
ap-328	90	18	characteristic	characteristic	NOUN
ap-328	90	19	of	of	ADP
ap-328	90	20	the	the	DET
ap-328	90	21	�	�	PROPN
ap-328	90	22	�	�	PROPN
ap-328	90	23	s	s	PART
ap-328	90	24	i	i	PRON
ap-328	90	25	y&1	y&1	X
ap-328	90	26	,	,	PUNCT
ap-328	90	27	the	the	DET
ap-328	90	28	deterministic	deterministic	ADJ
ap-328	90	29	component	component	NOUN
ap-328	90	30	s	s	VERB
ap-328	90	31	i	i	INTJ
ap-328	90	32	y	y	PROPN
ap-328	90	33	(	(	PUNCT
ap-328	90	34	,	,	PUNCT
ap-328	90	35	)	)	PUNCT
ap-328	90	36	&	&	CCONJ
ap-328	90	37	1	1	NUM
ap-328	90	38	and	and	CCONJ
ap-328	90	39	the	the	DET
ap-328	90	40	random	random	ADJ
ap-328	90	41	component	component	NOUN
ap-328	90	42	�	�	PROPN
ap-328	90	43	2	2	NUM
ap-328	90	44	.	.	PUNCT
ap-328	90	45	with	with	ADP
ap-328	90	46	the	the	DET
ap-328	90	47	definite	definite	ADJ
ap-328	90	48	relationship	relationship	NOUN
ap-328	90	49	between	between	ADP
ap-328	90	50	the	the	DET
ap-328	90	51	deterministic	deterministic	NOUN
ap-328	90	52	and	and	CCONJ
ap-328	90	53	the	the	DET
ap-328	90	54	random	random	ADJ
ap-328	90	55	components	component	NOUN
ap-328	90	56	,	,	PUNCT
ap-328	90	57	an	an	DET
ap-328	90	58	approximate	approximate	ADJ
ap-328	90	59	evaluation	evaluation	NOUN
ap-328	90	60	of	of	ADP
ap-328	90	61	e	e	NOUN
ap-328	90	62	r	r	X
ap-328	90	63	(	(	PUNCT
ap-328	90	64	�	�	PROPN
ap-328	90	65	)	)	PUNCT
ap-328	90	66	as	as	SCONJ
ap-328	90	67	can	can	AUX
ap-328	90	68	be	be	AUX
ap-328	90	69	obtained	obtain	VERB
ap-328	90	70	.	.	PUNCT
ap-328	91	1	thus	thus	ADV
ap-328	91	2	,	,	PUNCT
ap-328	91	3	having	have	VERB
ap-328	91	4	�	�	PROPN
ap-328	91	5	�	�	PROPN
ap-328	91	6	s	s	PART
ap-328	91	7	x	x	SYM
ap-328	91	8	y	y	PROPN
ap-328	91	9	,	,	PUNCT
ap-328	91	10	#	#	NOUN
ap-328	91	11	�	�	PROPN
ap-328	91	12	and	and	CCONJ
ap-328	91	13	linearizing	linearize	VERB
ap-328	91	14	equation	equation	NOUN
ap-328	91	15	(	(	PUNCT
ap-328	91	16	4	4	X
ap-328	91	17	)	)	PUNCT
ap-328	91	18	we	we	PRON
ap-328	91	19	obtain	obtain	VERB
ap-328	91	20	:	:	PUNCT
ap-328	91	21	�	�	PROPN
ap-328	91	22	�	�	PROPN
ap-328	91	23	�	�	PROPN
ap-328	91	24	�	�	PROPN
ap-328	91	25	e	e	NOUN
ap-328	91	26	r	r	NOUN
ap-328	91	27	n	n	NOUN
ap-328	91	28	l	l	NOUN
ap-328	91	29	s	s	VERB
ap-328	91	30	i	i	INTJ
ap-328	91	31	y	y	NOUN
ap-328	91	32	y	y	INTJ
ap-328	91	33	l	l	NOUN
ap-328	92	1	i	i	PRON
ap-328	92	2	n	n	VERB
ap-328	92	3	�	�	PROPN
ap-328	92	4	,	,	PUNCT
ap-328	92	5	as	as	SCONJ
ap-328	92	6	d$	d$	X
ap-328	92	7	�	�	PROPN
ap-328	92	8	�	�	PROPN
ap-328	92	9	1	1	NUM
ap-328	92	10	1	1	NUM
ap-328	92	11	1	1	NUM
ap-328	92	12	2	2	NUM
ap-328	92	13	1	1	NUM
ap-328	92	14	01	01	NUM
ap-328	92	15	21	21	NUM
ap-328	92	16	&	&	CCONJ
ap-328	92	17	.	.	PUNCT
ap-328	93	1	(	(	PUNCT
ap-328	93	2	23	23	NUM
ap-328	93	3	)	)	PUNCT
ap-328	93	4	by	by	ADP
ap-328	93	5	using	use	VERB
ap-328	93	6	�	�	PROPN
ap-328	93	7	�	�	PROPN
ap-328	93	8	s	s	PART
ap-328	93	9	x	x	SYM
ap-328	93	10	y	y	PROPN
ap-328	93	11	,	,	PUNCT
ap-328	93	12	#	#	NOUN
ap-328	93	13	�	�	PROPN
ap-328	93	14	and	and	CCONJ
ap-328	93	15	linearizing	linearize	VERB
ap-328	93	16	equation	equation	NOUN
ap-328	93	17	(	(	PUNCT
ap-328	93	18	4	4	NUM
ap-328	93	19	):	):	PUNCT
ap-328	93	20	�	�	PROPN
ap-328	93	21	�	�	PROPN
ap-328	93	22	�	�	PROPN
ap-328	93	23	�	�	PROPN
ap-328	93	24	�	�	PROPN
ap-328	93	25	�	�	PROPN
ap-328	93	26	�	�	PROPN
ap-328	93	27	�	�	PROPN
ap-328	93	28	�	�	PROPN
ap-328	93	29	�	�	PROPN
ap-328	94	1	e	e	PROPN
ap-328	94	2	h	h	NOUN
ap-328	94	3	x	x	VERB
ap-328	94	4	y	y	PROPN
ap-328	94	5	s	s	PROPN
ap-328	94	6	x	x	PROPN
ap-328	94	7	y	y	PROPN
ap-328	94	8	,	,	PUNCT
ap-328	94	9	,	,	PUNCT
ap-328	94	10	$	$	SYM
ap-328	94	11	�	�	PROPN
ap-328	94	12	�	�	PROPN
ap-328	94	13	�	�	PROPN
ap-328	94	14	�	�	PROPN
ap-328	94	15	2	2	NUM
ap-328	94	16	2	2	NUM
ap-328	94	17	1	1	NUM
ap-328	94	18	2	2	NUM
ap-328	94	19	2	2	NUM
ap-328	94	20	1	1	NUM
ap-328	94	21	2	2	NUM
ap-328	94	22	�	�	PROPN
ap-328	94	23	�	�	PROPN
ap-328	94	24	�	�	PROPN
ap-328	94	25	�	�	PROPN
ap-328	94	26	.	.	PUNCT
ap-328	95	1	(	(	PUNCT
ap-328	95	2	24	24	NUM
ap-328	95	3	)	)	PUNCT
ap-328	95	4	©	©	PROPN
ap-328	95	5	czech	czech	PROPN
ap-328	95	6	technical	technical	PROPN
ap-328	95	7	university	university	PROPN
ap-328	95	8	publishing	publishing	NOUN
ap-328	95	9	house	house	NOUN
ap-328	95	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-328	95	11	37	37	NUM
ap-328	95	12	acta	acta	PROPN
ap-328	95	13	polytechnica	polytechnica	PROPN
ap-328	95	14	vol	vol	NOUN
ap-328	95	15	.	.	PUNCT
ap-328	96	1	42	42	NUM
ap-328	96	2	no	no	NOUN
ap-328	96	3	.	.	PUNCT
ap-328	97	1	2/2002	2/2002	NUM
ap-328	97	2	5,06	5,06	NUM
ap-328	97	3	mm	mm	NOUN
ap-328	97	4	5,06	5,06	NUM
ap-328	98	1	mm	mm	NOUN
ap-328	98	2	μm	μm	NUM
ap-328	98	3	20	20	NUM
ap-328	98	4	0	0	NUM
ap-328	98	5	0	0	NUM
ap-328	98	6	1	1	NUM
ap-328	98	7	2	2	NUM
ap-328	98	8	3	3	NUM
ap-328	98	9	4	4	NUM
ap-328	98	10	mm	mm	NOUN
ap-328	98	11	0	0	NUM
ap-328	98	12	90	90	NUM
ap-328	98	13	μm	μm	NUM
ap-328	98	14	fig	fig	NOUN
ap-328	98	15	.	.	PUNCT
ap-328	99	1	1	1	NUM
ap-328	99	2	:	:	PUNCT
ap-328	99	3	representation	representation	NOUN
ap-328	99	4	of	of	ADP
ap-328	99	5	surface	surface	NOUN
ap-328	99	6	roughness	roughness	NOUN
ap-328	99	7	measurement	measurement	NOUN
ap-328	99	8	2,9	2,9	NUM
ap-328	99	9	mm	mm	NOUN
ap-328	99	10	2,5	2,5	NUM
ap-328	99	11	mm	mm	NOUN
ap-328	99	12	0	0	NUM
ap-328	99	13	0	0	NUM
ap-328	99	14	1	1	NUM
ap-328	99	15	2	2	NUM
ap-328	99	16	mm	mm	NOUN
ap-328	99	17	20	20	NUM
ap-328	99	18	10	10	NUM
ap-328	99	19	μm	μm	NUM
ap-328	99	20	fig	fig	NOUN
ap-328	99	21	.	.	PUNCT
ap-328	100	1	2	2	NUM
ap-328	100	2	:	:	PUNCT
ap-328	100	3	representation	representation	NOUN
ap-328	100	4	of	of	ADP
ap-328	100	5	surface	surface	NOUN
ap-328	100	6	roughness	roughness	NOUN
ap-328	100	7	measurement	measurement	NOUN
ap-328	100	8	38	38	NUM
ap-328	100	9	©	©	PROPN
ap-328	100	10	czech	czech	PROPN
ap-328	100	11	technical	technical	PROPN
ap-328	100	12	university	university	PROPN
ap-328	100	13	publishing	publishing	NOUN
ap-328	100	14	house	house	NOUN
ap-328	100	15	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-328	100	16	acta	acta	PROPN
ap-328	100	17	polytechnica	polytechnica	PROPN
ap-328	100	18	vol	vol	NOUN
ap-328	100	19	.	.	PUNCT
ap-328	101	1	42	42	NUM
ap-328	101	2	no	no	NOUN
ap-328	101	3	.	.	PUNCT
ap-328	102	1	2/2002	2/2002	NUM
ap-328	102	2	figs	fig	NOUN
ap-328	102	3	.	.	PUNCT
ap-328	103	1	3	3	NUM
ap-328	103	2	and	and	CCONJ
ap-328	103	3	4	4	NUM
ap-328	103	4	:	:	PUNCT
ap-328	103	5	a	a	DET
ap-328	103	6	3d	3d	NUM
ap-328	103	7	topographical	topographical	ADJ
ap-328	103	8	image	image	NOUN
ap-328	103	9	©	©	PROPN
ap-328	103	10	czech	czech	PROPN
ap-328	103	11	technical	technical	PROPN
ap-328	103	12	university	university	PROPN
ap-328	103	13	publishing	publishing	NOUN
ap-328	103	14	house	house	NOUN
ap-328	103	15	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-328	103	16	39	39	NUM
ap-328	103	17	acta	acta	PROPN
ap-328	103	18	polytechnica	polytechnica	PROPN
ap-328	103	19	vol	vol	NOUN
ap-328	103	20	.	.	PUNCT
ap-328	104	1	42	42	NUM
ap-328	104	2	no	no	NOUN
ap-328	104	3	.	.	PUNCT
ap-328	105	1	2/2002	2/2002	NUM
ap-328	105	2	fi	fi	NOUN
ap-328	105	3	g.	g.	NOUN
ap-328	105	4	5	5	NUM
ap-328	105	5	:	:	PUNCT
ap-328	105	6	r	r	NOUN
ap-328	105	7	ep	ep	PROPN
ap-328	105	8	re	re	PROPN
ap-328	105	9	se	se	PROPN
ap-328	105	10	nt	not	PART
ap-328	105	11	at	at	ADP
ap-328	105	12	io	io	PROPN
ap-328	105	13	n	n	ADP
ap-328	105	14	of	of	ADP
ap-328	105	15	3d	3d	PROPN
ap-328	105	16	ro	ro	NOUN
ap-328	106	1	ug	ug	ADP
ap-328	106	2	hn	hn	PROPN
ap-328	106	3	es	es	X
ap-328	106	4	s	s	PROPN
ap-328	106	5	te	te	INTJ
ap-328	106	6	st	st	PROPN
ap-328	107	1	in	in	ADP
ap-328	107	2	a	a	PRON
ap-328	107	3	la	la	X
ap-328	107	4	rg	rg	PROPN
ap-328	107	5	e	e	PROPN
ap-328	107	6	sc	sc	PROPN
ap-328	107	7	al	al	PROPN
ap-328	107	8	e	e	PROPN
ap-328	107	9	then	then	ADV
ap-328	107	10	�	�	PROPN
ap-328	107	11	�	�	PROPN
ap-328	107	12	�	�	PROPN
ap-328	107	13	�	�	PROPN
ap-328	107	14	�	�	PROPN
ap-328	107	15	�	�	PROPN
ap-328	107	16	�	�	PROPN
ap-328	107	17	�	�	PROPN
ap-328	107	18	e	e	NOUN
ap-328	107	19	r	r	NOUN
ap-328	107	20	l	l	NOUN
ap-328	107	21	l	l	NOUN
ap-328	107	22	s	s	X
ap-328	107	23	x	x	X
ap-328	107	24	y	y	NOUN
ap-328	107	25	x	x	PUNCT
ap-328	107	26	y	y	PROPN
ap-328	107	27	ll	ll	PROPN
ap-328	107	28	�	�	PROPN
ap-328	107	29	,	,	PUNCT
ap-328	107	30	as	as	SCONJ
ap-328	107	31	$	$	SYM
ap-328	107	32	�	�	PROPN
ap-328	107	33	�	�	PROPN
ap-328	107	34	�	�	PROPN
ap-328	107	35	�	�	PROPN
ap-328	107	36	�	�	PROPN
ap-328	107	37	�	�	PROPN
ap-328	107	38	2	2	NUM
ap-328	107	39	1	1	NUM
ap-328	107	40	2	2	NUM
ap-328	107	41	1	1	NUM
ap-328	107	42	2	2	NUM
ap-328	107	43	1	1	NUM
ap-328	107	44	2	2	NUM
ap-328	107	45	1	1	NUM
ap-328	107	46	2	2	NUM
ap-328	107	47	2	2	NUM
ap-328	107	48	00	00	NUM
ap-328	107	49	21	21	NUM
ap-328	107	50	�	�	PROPN
ap-328	107	51	�	�	PROPN
ap-328	107	52	�	�	PROPN
ap-328	107	53	�	�	PROPN
ap-328	107	54	d	d	PROPN
ap-328	107	55	d	d	PROPN
ap-328	107	56	.	.	PUNCT
ap-328	108	1	(	(	PUNCT
ap-328	108	2	25	25	NUM
ap-328	108	3	)	)	PUNCT
ap-328	108	4	to	to	PART
ap-328	108	5	analyse	analyse	VERB
ap-328	108	6	the	the	DET
ap-328	108	7	e	e	PROPN
ap-328	108	8	r	r	X
ap-328	108	9	(	(	PUNCT
ap-328	108	10	�	�	PROPN
ap-328	108	11	)	)	PUNCT
ap-328	108	12	as	as	ADP
ap-328	108	13	dependence	dependence	NOUN
ap-328	108	14	on	on	ADP
ap-328	108	15	s	s	PROPN
ap-328	108	16	�	�	PROPN
ap-328	108	17	and	and	CCONJ
ap-328	108	18	to	to	PART
ap-328	108	19	determine	determine	VERB
ap-328	108	20	what	what	PRON
ap-328	108	21	relationship	relationship	NOUN
ap-328	108	22	with	with	ADP
ap-328	108	23	s	s	PRON
ap-328	108	24	�	�	PROPN
ap-328	108	25	is	be	AUX
ap-328	108	26	needed	need	VERB
ap-328	108	27	in	in	ADP
ap-328	108	28	order	order	NOUN
ap-328	108	29	to	to	PART
ap-328	108	30	make	make	VERB
ap-328	108	31	formulae	formulae	ADJ
ap-328	108	32	(	(	PUNCT
ap-328	108	33	23	23	NUM
ap-328	108	34	)	)	PUNCT
ap-328	108	35	and	and	CCONJ
ap-328	108	36	(	(	PUNCT
ap-328	108	37	25	25	NUM
ap-328	108	38	)	)	PUNCT
ap-328	108	39	applicable	applicable	ADJ
ap-328	108	40	to	to	ADP
ap-328	108	41	the	the	DET
ap-328	108	42	determination	determination	NOUN
ap-328	108	43	of	of	ADP
ap-328	108	44	the	the	DET
ap-328	108	45	mathematical	mathematical	ADJ
ap-328	108	46	expectation	expectation	NOUN
ap-328	108	47	e	e	X
ap-328	108	48	r	r	X
ap-328	108	49	(	(	PUNCT
ap-328	108	50	�	�	PROPN
ap-328	108	51	)	)	PUNCT
ap-328	108	52	as	as	SCONJ
ap-328	108	53	,	,	PUNCT
ap-328	108	54	calculations	calculation	NOUN
ap-328	108	55	were	be	AUX
ap-328	108	56	carried	carry	VERB
ap-328	108	57	out	out	ADP
ap-328	108	58	using	use	VERB
ap-328	108	59	formulae	formulae	NOUN
ap-328	108	60	(	(	PUNCT
ap-328	108	61	22	22	NUM
ap-328	108	62	)	)	PUNCT
ap-328	108	63	,	,	PUNCT
ap-328	108	64	(	(	PUNCT
ap-328	108	65	23	23	NUM
ap-328	108	66	)	)	PUNCT
ap-328	108	67	and	and	CCONJ
ap-328	108	68	(	(	PUNCT
ap-328	108	69	25	25	NUM
ap-328	108	70	)	)	PUNCT
ap-328	108	71	.	.	PUNCT
ap-328	109	1	the	the	DET
ap-328	109	2	mathematical	mathematical	ADJ
ap-328	109	3	models	model	NOUN
ap-328	109	4	of	of	ADP
ap-328	109	5	the	the	DET
ap-328	109	6	composition	composition	NOUN
ap-328	109	7	surface	surface	NOUN
ap-328	109	8	and	and	CCONJ
ap-328	109	9	the	the	DET
ap-328	109	10	experimental	experimental	ADJ
ap-328	109	11	calculation	calculation	NOUN
ap-328	109	12	of	of	ADP
ap-328	109	13	the	the	DET
ap-328	109	14	parameter	parameter	NOUN
ap-328	109	15	�	�	PROPN
ap-328	109	16	r	r	PROPN
ap-328	109	17	hij	hij	PROPN
ap-328	109	18	j	j	PROPN
ap-328	109	19	n	n	CCONJ
ap-328	109	20	i	i	PRON
ap-328	109	21	n	n	VERB
ap-328	109	22	i	i	PRON
ap-328	109	23	as	as	ADP
ap-328	109	24	�	�	PROPN
ap-328	109	25	�	�	PROPN
ap-328	109	26	�	�	PROPN
ap-328	109	27	11	11	NUM
ap-328	109	28	1	1	NUM
ap-328	109	29	(	(	PUNCT
ap-328	109	30	26	26	NUM
ap-328	109	31	)	)	PUNCT
ap-328	109	32	where	where	SCONJ
ap-328	109	33	hij	hij	NOUN
ap-328	109	34	is	be	AUX
ap-328	109	35	the	the	DET
ap-328	109	36	deviation	deviation	NOUN
ap-328	109	37	of	of	ADP
ap-328	109	38	the	the	DET
ap-328	109	39	h	h	NOUN
ap-328	109	40	(	(	PUNCT
ap-328	109	41	x	x	NOUN
ap-328	109	42	,	,	PUNCT
ap-328	109	43	y	y	NOUN
ap-328	109	44	)	)	PUNCT
ap-328	109	45	surface	surface	NOUN
ap-328	109	46	from	from	ADP
ap-328	109	47	the	the	DET
ap-328	109	48	mean	mean	ADJ
ap-328	109	49	plane	plane	NOUN
ap-328	109	50	at	at	ADP
ap-328	109	51	the	the	DET
ap-328	109	52	discrete	discrete	ADJ
ap-328	109	53	points	point	NOUN
ap-328	109	54	.	.	PUNCT
ap-328	110	1	the	the	DET
ap-328	110	2	random	random	ADJ
ap-328	110	3	component	component	NOUN
ap-328	110	4	was	be	AUX
ap-328	110	5	modelled	model	VERB
ap-328	110	6	with	with	ADP
ap-328	110	7	the	the	DET
ap-328	110	8	help	help	NOUN
ap-328	110	9	of	of	ADP
ap-328	110	10	the	the	DET
ap-328	110	11	random	random	ADJ
ap-328	110	12	number	number	NOUN
ap-328	110	13	generator	generator	NOUN
ap-328	110	14	.	.	PUNCT
ap-328	111	1	the	the	DET
ap-328	111	2	deterministic	deterministic	ADJ
ap-328	111	3	component	component	NOUN
ap-328	111	4	was	be	AUX
ap-328	111	5	designated	designate	VERB
ap-328	111	6	by	by	ADP
ap-328	111	7	formula	formula	NOUN
ap-328	111	8	(	(	PUNCT
ap-328	111	9	19	19	NUM
ap-328	111	10	)	)	PUNCT
ap-328	111	11	.	.	PUNCT
ap-328	112	1	3	3	NUM
ap-328	112	2	discussion	discussion	NOUN
ap-328	112	3	�	�	PROPN
ap-328	112	4	if	if	SCONJ
ap-328	112	5	the	the	DET
ap-328	112	6	deterministic	deterministic	ADJ
ap-328	112	7	component	component	NOUN
ap-328	112	8	is	be	AUX
ap-328	112	9	a	a	DET
ap-328	112	10	piecewise	piecewise	NOUN
ap-328	112	11	linear	linear	NOUN
ap-328	112	12	function	function	NOUN
ap-328	112	13	and	and	CCONJ
ap-328	112	14	the	the	DET
ap-328	112	15	random	random	ADJ
ap-328	112	16	component	component	NOUN
ap-328	112	17	is	be	AUX
ap-328	112	18	a	a	DET
ap-328	112	19	homogeneous	homogeneous	ADJ
ap-328	112	20	normal	normal	ADJ
ap-328	112	21	field	field	NOUN
ap-328	112	22	,	,	PUNCT
ap-328	112	23	then	then	ADV
ap-328	112	24	the	the	DET
ap-328	112	25	mathematical	mathematical	ADJ
ap-328	112	26	expectation	expectation	NOUN
ap-328	112	27	of	of	ADP
ap-328	112	28	parameter	parameter	PROPN
ap-328	112	29	�	�	PROPN
ap-328	112	30	ras	ras	PROPN
ap-328	112	31	increases	increase	NOUN
ap-328	112	32	with	with	ADP
ap-328	112	33	increasing	increase	VERB
ap-328	112	34	s	s	PART
ap-328	112	35	�	�	PROPN
ap-328	112	36	.	.	PUNCT
ap-328	112	37	�	�	PROPN
ap-328	112	38	ifs	ifs	PROPN
ap-328	112	39	�	�	PROPN
ap-328	112	40	�	�	PROPN
ap-328	112	41	1	1	NUM
ap-328	112	42	,	,	PUNCT
ap-328	112	43	when	when	SCONJ
ap-328	112	44	e	e	PROPN
ap-328	112	45	r	r	X
ap-328	112	46	(	(	PUNCT
ap-328	112	47	�	�	PROPN
ap-328	112	48	)	)	PUNCT
ap-328	112	49	as	as	SCONJ
ap-328	112	50	is	be	AUX
ap-328	112	51	calculated	calculate	VERB
ap-328	112	52	the	the	DET
ap-328	112	53	influence	influence	NOUN
ap-328	112	54	of	of	ADP
ap-328	112	55	the	the	DET
ap-328	112	56	deterministic	deterministic	ADJ
ap-328	112	57	component	component	NOUN
ap-328	112	58	can	can	AUX
ap-328	112	59	be	be	AUX
ap-328	112	60	ignored	ignore	VERB
ap-328	112	61	and	and	CCONJ
ap-328	112	62	the	the	DET
ap-328	112	63	error	error	NOUN
ap-328	112	64	is	be	AUX
ap-328	112	65	less	less	ADJ
ap-328	112	66	than	than	ADP
ap-328	112	67	10	10	NUM
ap-328	112	68	%	%	NOUN
ap-328	112	69	.	.	PUNCT
ap-328	113	1	�	�	PROPN
ap-328	113	2	when	when	SCONJ
ap-328	113	3	s	s	VERB
ap-328	113	4	�	�	PROPN
ap-328	113	5	�	�	PROPN
ap-328	113	6	3	3	NUM
ap-328	113	7	,	,	PUNCT
ap-328	113	8	formula	formula	NOUN
ap-328	113	9	(	(	PUNCT
ap-328	113	10	25	25	NUM
ap-328	113	11	)	)	PUNCT
ap-328	113	12	can	can	AUX
ap-328	113	13	be	be	AUX
ap-328	113	14	used	use	VERB
ap-328	113	15	to	to	PART
ap-328	113	16	calculate	calculate	VERB
ap-328	113	17	e	e	PROPN
ap-328	113	18	r	r	X
ap-328	113	19	(	(	PUNCT
ap-328	113	20	�	�	PROPN
ap-328	113	21	)	)	PUNCT
ap-328	113	22	as	as	ADP
ap-328	113	23	with	with	ADP
ap-328	113	24	an	an	DET
ap-328	113	25	error	error	NOUN
ap-328	113	26	of	of	ADP
ap-328	113	27	less	less	ADJ
ap-328	113	28	than	than	ADP
ap-328	113	29	10	10	NUM
ap-328	113	30	%	%	NOUN
ap-328	113	31	.	.	PUNCT
ap-328	114	1	�	�	PROPN
ap-328	114	2	if	if	SCONJ
ap-328	114	3	s	s	PROPN
ap-328	114	4	�	�	PROPN
ap-328	114	5	�	�	PROPN
ap-328	114	6	4	4	NUM
ap-328	114	7	,	,	PUNCT
ap-328	114	8	e	e	NOUN
ap-328	114	9	r	r	X
ap-328	114	10	(	(	PUNCT
ap-328	114	11	�	�	PROPN
ap-328	114	12	)	)	PUNCT
ap-328	114	13	as	as	SCONJ
ap-328	114	14	can	can	AUX
ap-328	114	15	be	be	AUX
ap-328	114	16	evaluated	evaluate	VERB
ap-328	114	17	with	with	ADP
ap-328	114	18	an	an	DET
ap-328	114	19	error	error	NOUN
ap-328	114	20	of	of	ADP
ap-328	114	21	less	less	ADJ
ap-328	114	22	than	than	ADP
ap-328	114	23	10	10	NUM
ap-328	114	24	%	%	NOUN
ap-328	114	25	by	by	ADP
ap-328	114	26	using	use	VERB
ap-328	114	27	the	the	DET
ap-328	114	28	deterministic	deterministic	ADJ
ap-328	114	29	component	component	NOUN
ap-328	114	30	(	(	PUNCT
ap-328	114	31	formula	formula	NOUN
ap-328	114	32	23	23	NUM
ap-328	114	33	)	)	PUNCT
ap-328	114	34	.	.	PUNCT
ap-328	115	1	�	�	PROPN
ap-328	115	2	formula	formula	NOUN
ap-328	115	3	(	(	PUNCT
ap-328	115	4	22	22	NUM
ap-328	115	5	)	)	PUNCT
ap-328	115	6	holds	hold	VERB
ap-328	115	7	for	for	ADP
ap-328	115	8	the	the	DET
ap-328	115	9	whole	whole	ADJ
ap-328	115	10	range	range	NOUN
ap-328	115	11	of	of	ADP
ap-328	115	12	s	s	NOUN
ap-328	115	13	�	�	NOUN
ap-328	115	14	changes	change	NOUN
ap-328	115	15	.	.	PUNCT
ap-328	116	1	�	�	PROPN
ap-328	116	2	full	full	ADJ
ap-328	116	3	agreement	agreement	NOUN
ap-328	116	4	with	with	ADP
ap-328	116	5	the	the	DET
ap-328	116	6	theoretical	theoretical	ADJ
ap-328	116	7	expression	expression	NOUN
ap-328	116	8	can	can	AUX
ap-328	116	9	be	be	AUX
ap-328	116	10	demonstrated	demonstrate	VERB
ap-328	116	11	by	by	ADP
ap-328	116	12	the	the	DET
ap-328	116	13	experimental	experimental	ADJ
ap-328	116	14	calculations	calculation	NOUN
ap-328	116	15	using	use	VERB
ap-328	116	16	formula	formula	NOUN
ap-328	116	17	(	(	PUNCT
ap-328	116	18	26	26	NUM
ap-328	116	19	)	)	PUNCT
ap-328	116	20	.	.	PUNCT
ap-328	117	1	�	�	PROPN
ap-328	117	2	some	some	DET
ap-328	117	3	optical	optical	ADJ
ap-328	117	4	profilometers	profilometer	NOUN
ap-328	117	5	based	base	VERB
ap-328	117	6	on	on	ADP
ap-328	117	7	these	these	DET
ap-328	117	8	principles	principle	NOUN
ap-328	117	9	are	be	AUX
ap-328	117	10	shown	show	VERB
ap-328	117	11	in	in	ADP
ap-328	117	12	figures	figure	NOUN
ap-328	117	13	(	(	PUNCT
ap-328	117	14	1–6	1–6	NOUN
ap-328	117	15	)	)	PUNCT
ap-328	117	16	to	to	PART
ap-328	117	17	measure	measure	VERB
ap-328	117	18	the	the	DET
ap-328	117	19	statistical	statistical	ADJ
ap-328	117	20	parameters	parameter	NOUN
ap-328	117	21	of	of	ADP
ap-328	117	22	rough	rough	ADJ
ap-328	117	23	surfaces	surface	NOUN
ap-328	117	24	.	.	PUNCT
ap-328	118	1	the	the	DET
ap-328	118	2	contrast	contrast	NOUN
ap-328	118	3	is	be	AUX
ap-328	118	4	found	find	VERB
ap-328	118	5	to	to	PART
ap-328	118	6	be	be	AUX
ap-328	118	7	related	relate	VERB
ap-328	118	8	to	to	ADP
ap-328	118	9	surface	surface	NOUN
ap-328	118	10	roughness	roughness	NOUN
ap-328	118	11	when	when	SCONJ
ap-328	118	12	the	the	DET
ap-328	118	13	length	length	NOUN
ap-328	118	14	of	of	ADP
ap-328	118	15	coherence	coherence	NOUN
ap-328	118	16	of	of	ADP
ap-328	118	17	the	the	DET
ap-328	118	18	light	light	NOUN
ap-328	118	19	[	[	X
ap-328	118	20	are	be	AUX
ap-328	118	21	]	]	X
ap-328	118	22	is	be	AUX
ap-328	118	23	comparable	comparable	ADJ
ap-328	118	24	in	in	ADP
ap-328	118	25	magnitude	magnitude	NOUN
ap-328	118	26	.	.	PUNCT
ap-328	119	1	4	4	NUM
ap-328	119	2	conclusion	conclusion	NOUN
ap-328	119	3	the	the	DET
ap-328	119	4	theoretical	theoretical	ADJ
ap-328	119	5	dependence	dependence	NOUN
ap-328	119	6	of	of	ADP
ap-328	119	7	the	the	DET
ap-328	119	8	mathematical	mathematical	ADJ
ap-328	119	9	expectation	expectation	NOUN
ap-328	119	10	of	of	ADP
ap-328	119	11	parameter	parameter	PROPN
ap-328	119	12	�	�	PROPN
ap-328	119	13	ras	ras	PROPN
ap-328	119	14	has	have	AUX
ap-328	119	15	been	be	AUX
ap-328	119	16	determined	determine	VERB
ap-328	119	17	for	for	ADP
ap-328	119	18	the	the	DET
ap-328	119	19	case	case	NOUN
ap-328	119	20	when	when	SCONJ
ap-328	119	21	the	the	DET
ap-328	119	22	deterministic	deterministic	ADJ
ap-328	119	23	component	component	NOUN
ap-328	119	24	s(x	s(x	PROPN
ap-328	119	25	,	,	PUNCT
ap-328	119	26	y	y	PROPN
ap-328	119	27	)	)	PUNCT
ap-328	119	28	can	can	AUX
ap-328	119	29	be	be	AUX
ap-328	119	30	linearized	linearize	VERB
ap-328	119	31	on	on	ADP
ap-328	119	32	the	the	DET
ap-328	119	33	separate	separate	ADJ
ap-328	119	34	sections	section	NOUN
ap-328	119	35	.	.	PUNCT
ap-328	120	1	the	the	DET
ap-328	120	2	dependence	dependence	NOUN
ap-328	120	3	of	of	ADP
ap-328	120	4	the	the	DET
ap-328	120	5	evaluation	evaluation	NOUN
ap-328	120	6	bias	bias	NOUN
ap-328	120	7	in	in	ADP
ap-328	120	8	parameter	parameter	PROPN
ap-328	120	9	�	�	PROPN
ap-328	120	10	ras	ras	PROPN
ap-328	120	11	on	on	ADP
ap-328	120	12	the	the	DET
ap-328	120	13	relationship	relationship	NOUN
ap-328	120	14	between	between	ADP
ap-328	120	15	the	the	DET
ap-328	120	16	random	random	ADJ
ap-328	120	17	and	and	CCONJ
ap-328	120	18	deterministic	deterministic	ADJ
ap-328	120	19	components	component	NOUN
ap-328	120	20	has	have	AUX
ap-328	120	21	been	be	AUX
ap-328	120	22	determined	determine	VERB
ap-328	120	23	.	.	PUNCT
ap-328	121	1	references	reference	NOUN
ap-328	121	2	[	[	X
ap-328	121	3	1	1	NUM
ap-328	121	4	]	]	X
ap-328	121	5	lukyan	lukyan	ADJ
ap-328	121	6	,	,	PUNCT
ap-328	121	7	v.	v.	ADJ
ap-328	121	8	:	:	PUNCT
ap-328	121	9	measurement	measurement	NOUN
ap-328	121	10	of	of	ADP
ap-328	121	11	the	the	DET
ap-328	121	12	surface	surface	NOUN
ap-328	121	13	topography	topography	NOUN
ap-328	121	14	.	.	PUNCT
ap-328	122	1	icte	icte	PROPN
ap-328	122	2	,	,	PUNCT
ap-328	122	3	2000	2000	NUM
ap-328	122	4	,	,	PUNCT
ap-328	122	5	p.	p.	NOUN
ap-328	122	6	103–154	103–154	NUM
ap-328	122	7	.	.	PUNCT
ap-328	123	1	[	[	X
ap-328	123	2	2	2	NUM
ap-328	123	3	]	]	PUNCT
ap-328	123	4	lewis	lewis	PROPN
ap-328	123	5	,	,	PUNCT
ap-328	123	6	j.	j.	PROPN
ap-328	123	7	:	:	PUNCT
ap-328	123	8	fundamentals	fundamental	NOUN
ap-328	123	9	of	of	ADP
ap-328	123	10	microgeometry	microgeometry	PROPN
ap-328	123	11	.	.	PUNCT
ap-328	124	1	rpi	rpi	PROPN
ap-328	124	2	,	,	PUNCT
ap-328	124	3	2001	2001	NUM
ap-328	124	4	,	,	PUNCT
ap-328	124	5	p.	p.	NOUN
ap-328	124	6	32–65	32–65	NUM
ap-328	124	7	.	.	PUNCT
ap-328	125	1	[	[	X
ap-328	125	2	3	3	NUM
ap-328	125	3	]	]	X
ap-328	125	4	zahedi	zahedi	PROPN
ap-328	125	5	,	,	PUNCT
ap-328	125	6	m.	m.	NOUN
ap-328	125	7	:	:	PUNCT
ap-328	125	8	mesure	mesure	PROPN
ap-328	125	9	sans	sans	PROPN
ap-328	125	10	contact	contact	PROPN
ap-328	125	11	de	de	X
ap-328	125	12	la	la	PROPN
ap-328	125	13	topographie	topographie	PROPN
ap-328	125	14	d’une	d’une	ADJ
ap-328	125	15	surface	surface	NOUN
ap-328	125	16	.	.	PUNCT
ap-328	126	1	iut	iut	PROPN
ap-328	126	2	de	de	PROPN
ap-328	126	3	belfort	belfort	PROPN
ap-328	126	4	,	,	PUNCT
ap-328	126	5	2000	2000	NUM
ap-328	126	6	,	,	PUNCT
ap-328	126	7	p.	p.	NOUN
ap-328	126	8	43–78	43–78	NUM
ap-328	126	9	.	.	PUNCT
ap-328	127	1	[	[	X
ap-328	127	2	4	4	NUM
ap-328	127	3	]	]	SYM
ap-328	127	4	galat	galat	NOUN
ap-328	127	5	,	,	PUNCT
ap-328	127	6	t.	t.	NOUN
ap-328	127	7	:	:	PUNCT
ap-328	127	8	optical	optical	ADJ
ap-328	127	9	surface	surface	NOUN
ap-328	127	10	roughness	roughness	NOUN
ap-328	127	11	determination	determination	NOUN
ap-328	127	12	.	.	PUNCT
ap-328	128	1	applied	apply	VERB
ap-328	128	2	optic	optic	NOUN
ap-328	128	3	,	,	PUNCT
ap-328	128	4	2000	2000	NUM
ap-328	128	5	.	.	PUNCT
ap-328	129	1	dr	dr	PROPN
ap-328	129	2	.	.	PROPN
ap-328	129	3	a.	a.	PROPN
ap-328	129	4	k.	k.	PROPN
ap-328	129	5	haghi	haghi	PROPN
ap-328	130	1	e	e	NOUN
ap-328	130	2	-	-	NOUN
ap-328	130	3	mail	mail	NOUN
ap-328	130	4	:	:	PUNCT
ap-328	130	5	haghi@kadous.gu.ac.ir	haghi@kadous.gu.ac.ir	NUM
ap-328	130	6	guilan	guilan	PROPN
ap-328	130	7	university	university	PROPN
ap-328	130	8	p.o	p.o	PROPN
ap-328	130	9	.	.	PROPN
ap-328	130	10	box	box	PROPN
ap-328	130	11	3756	3756	NUM
ap-328	130	12	rasht	rasht	NOUN
ap-328	130	13	,	,	PUNCT
ap-328	130	14	iran	iran	PROPN
ap-328	130	15	40	40	NUM
ap-328	131	1	©	©	PROPN
ap-328	131	2	czech	czech	PROPN
ap-328	131	3	technical	technical	PROPN
ap-328	131	4	university	university	PROPN
ap-328	131	5	publishing	publishing	NOUN
ap-328	131	6	house	house	NOUN
ap-328	131	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-328	131	8	acta	acta	PROPN
ap-328	131	9	polytechnica	polytechnica	PROPN
ap-328	131	10	vol	vol	NOUN
ap-328	131	11	.	.	PUNCT
ap-328	132	1	42	42	NUM
ap-328	132	2	no	no	NOUN
ap-328	132	3	.	.	PUNCT
ap-328	133	1	2/2002	2/2002	NUM
ap-328	133	2	fig	fig	NOUN
ap-328	133	3	.	.	PUNCT
ap-328	134	1	6	6	NUM
ap-328	134	2	:	:	PUNCT
ap-328	134	3	microtopograph	microtopograph	NOUN
ap-328	134	4	of	of	ADP
ap-328	134	5	a	a	DET
ap-328	134	6	rough	rough	ADJ
ap-328	134	7	surface	surface	NOUN