id	sid	tid	token	lemma	pos
ispiv-149	1	1	14th	14th	ADJ
ispiv-149	1	2	international	international	ADJ
ispiv-149	1	3	symposium	symposium	NOUN
ispiv-149	1	4	on	on	ADP
ispiv-149	1	5	particle	particle	NOUN
ispiv-149	1	6	image	image	NOUN
ispiv-149	1	7	velocimetry	velocimetry	NOUN
ispiv-149	1	8	–	–	PUNCT
ispiv-149	1	9	ispiv	ispiv	NOUN
ispiv-149	1	10	2021	2021	NUM
ispiv-149	1	11	august	august	PROPN
ispiv-149	1	12	1	1	NUM
ispiv-149	1	13	-	-	SYM
ispiv-149	1	14	5	5	NUM
ispiv-149	1	15	,	,	PUNCT
ispiv-149	1	16	2021	2021	NUM
ispiv-149	1	17	uncertainty	uncertainty	NOUN
ispiv-149	1	18	propagation	propagation	NOUN
ispiv-149	1	19	and	and	CCONJ
ispiv-149	1	20	truncation	truncation	NOUN
ispiv-149	1	21	errors	error	NOUN
ispiv-149	1	22	in	in	ADP
ispiv-149	1	23	lpt	lpt	PROPN
ispiv-149	1	24	kinematics	kinematics	PROPN
ispiv-149	1	25	l.	l.	PROPN
ispiv-149	1	26	chatellier1	chatellier1	PROPN
ispiv-149	1	27	*	*	PROPN
ispiv-149	1	28	1institut	1institut	NUM
ispiv-149	1	29	pprime	pprime	NOUN
ispiv-149	1	30	,	,	PUNCT
ispiv-149	1	31	upr3346	upr3346	ADJ
ispiv-149	1	32	,	,	PUNCT
ispiv-149	1	33	cnrs	cnrs	NOUN
ispiv-149	1	34	–	–	PUNCT
ispiv-149	1	35	université	université	PROPN
ispiv-149	1	36	de	de	PROPN
ispiv-149	1	37	poitiers	poitier	NOUN
ispiv-149	1	38	–	–	PUNCT
ispiv-149	1	39	isae	isae	PROPN
ispiv-149	1	40	-	-	PUNCT
ispiv-149	1	41	ensma	ensma	PROPN
ispiv-149	1	42	,	,	PUNCT
ispiv-149	1	43	france	france	PROPN
ispiv-149	1	44	*	*	PUNCT
ispiv-149	1	45	ludovic.chatellier	ludovic.chatellier	PROPN
ispiv-149	1	46	@univ	@univ	PROPN
ispiv-149	1	47	-	-	PUNCT
ispiv-149	1	48	poitiers.fr	poitiers.fr	PRON
ispiv-149	1	49	abstract	abstract	ADJ
ispiv-149	1	50	lagrangian	lagrangian	ADJ
ispiv-149	1	51	particle	particle	NOUN
ispiv-149	1	52	tracking	tracking	NOUN
ispiv-149	1	53	(	(	PUNCT
ispiv-149	1	54	lpt	lpt	PROPN
ispiv-149	1	55	)	)	PUNCT
ispiv-149	1	56	has	have	AUX
ispiv-149	1	57	become	become	VERB
ispiv-149	1	58	a	a	DET
ispiv-149	1	59	near	near	ADJ
ispiv-149	1	60	-	-	PUNCT
ispiv-149	1	61	standard	standard	ADJ
ispiv-149	1	62	approach	approach	NOUN
ispiv-149	1	63	for	for	ADP
ispiv-149	1	64	performing	perform	VERB
ispiv-149	1	65	accurate	accurate	ADJ
ispiv-149	1	66	3d	3d	NUM
ispiv-149	1	67	flow	flow	NOUN
ispiv-149	1	68	measurements	measurement	NOUN
ispiv-149	1	69	,	,	PUNCT
ispiv-149	1	70	thanks	thank	NOUN
ispiv-149	1	71	notably	notably	ADV
ispiv-149	1	72	to	to	ADP
ispiv-149	1	73	the	the	DET
ispiv-149	1	74	technical	technical	ADJ
ispiv-149	1	75	breakthroughs	breakthrough	NOUN
ispiv-149	1	76	brought	bring	VERB
ispiv-149	1	77	by	by	ADP
ispiv-149	1	78	the	the	DET
ispiv-149	1	79	iterative	iterative	NOUN
ispiv-149	1	80	particle	particle	NOUN
ispiv-149	1	81	reconstruction	reconstruction	NOUN
ispiv-149	1	82	(	(	PUNCT
ispiv-149	1	83	ipr	ipr	PROPN
ispiv-149	1	84	:	:	PUNCT
ispiv-149	1	85	wieneke	wieneke	ADJ
ispiv-149	1	86	,	,	PUNCT
ispiv-149	1	87	2013	2013	NUM
ispiv-149	1	88	)	)	PUNCT
ispiv-149	1	89	and	and	CCONJ
ispiv-149	1	90	shake	shake	VERB
ispiv-149	1	91	-	-	PUNCT
ispiv-149	1	92	the	the	DET
ispiv-149	1	93	-	-	PUNCT
ispiv-149	1	94	box	box	NOUN
ispiv-149	1	95	(	(	PUNCT
ispiv-149	1	96	stb	stb	PROPN
ispiv-149	1	97	:	:	PUNCT
ispiv-149	1	98	schanz	schanz	PROPN
ispiv-149	1	99	et.al	et.al	PROPN
ispiv-149	1	100	,	,	PUNCT
ispiv-149	1	101	2016	2016	NUM
ispiv-149	1	102	)	)	PUNCT
ispiv-149	1	103	procedures	procedure	NOUN
ispiv-149	1	104	.	.	PUNCT
ispiv-149	2	1	these	these	DET
ispiv-149	2	2	decisive	decisive	ADJ
ispiv-149	2	3	progresses	progress	NOUN
ispiv-149	2	4	have	have	AUX
ispiv-149	2	5	triggered	trigger	VERB
ispiv-149	2	6	a	a	DET
ispiv-149	2	7	number	number	NOUN
ispiv-149	2	8	of	of	ADP
ispiv-149	2	9	studies	study	NOUN
ispiv-149	2	10	relative	relative	ADJ
ispiv-149	2	11	to	to	ADP
ispiv-149	2	12	the	the	DET
ispiv-149	2	13	eduction	eduction	NOUN
ispiv-149	2	14	of	of	ADP
ispiv-149	2	15	flow	flow	NOUN
ispiv-149	2	16	kinematics	kinematic	NOUN
ispiv-149	2	17	and	and	CCONJ
ispiv-149	2	18	dynamics	dynamic	NOUN
ispiv-149	2	19	based	base	VERB
ispiv-149	2	20	on	on	ADP
ispiv-149	2	21	particle	particle	NOUN
ispiv-149	2	22	trajectory	trajectory	NOUN
ispiv-149	2	23	analyses	analysis	NOUN
ispiv-149	2	24	.	.	PUNCT
ispiv-149	3	1	novara	novara	PROPN
ispiv-149	3	2	&	&	CCONJ
ispiv-149	3	3	scarano	scarano	PROPN
ispiv-149	3	4	(	(	PUNCT
ispiv-149	3	5	2013	2013	NUM
ispiv-149	3	6	)	)	PUNCT
ispiv-149	3	7	,	,	PUNCT
ispiv-149	3	8	and	and	CCONJ
ispiv-149	3	9	others	other	NOUN
ispiv-149	3	10	,	,	PUNCT
ispiv-149	3	11	focused	focus	VERB
ispiv-149	3	12	on	on	ADP
ispiv-149	3	13	polynomial	polynomial	ADJ
ispiv-149	3	14	approximations	approximation	NOUN
ispiv-149	3	15	of	of	ADP
ispiv-149	3	16	the	the	DET
ispiv-149	3	17	trajectories	trajectory	NOUN
ispiv-149	3	18	,	,	PUNCT
ispiv-149	3	19	which	which	PRON
ispiv-149	3	20	analytically	analytically	ADV
ispiv-149	3	21	provide	provide	VERB
ispiv-149	3	22	the	the	DET
ispiv-149	3	23	material	material	NOUN
ispiv-149	3	24	derivatives	derivative	NOUN
ispiv-149	3	25	used	use	VERB
ispiv-149	3	26	to	to	PART
ispiv-149	3	27	estimate	estimate	VERB
ispiv-149	3	28	pressure	pressure	NOUN
ispiv-149	3	29	gradients	gradient	NOUN
ispiv-149	3	30	.	.	PUNCT
ispiv-149	4	1	in	in	ADP
ispiv-149	4	2	particular	particular	ADJ
ispiv-149	4	3	,	,	PUNCT
ispiv-149	4	4	approximations	approximation	NOUN
ispiv-149	4	5	based	base	VERB
ispiv-149	4	6	on	on	ADP
ispiv-149	4	7	second	second	ADJ
ispiv-149	4	8	order	order	NOUN
ispiv-149	4	9	polynomials	polynomial	NOUN
ispiv-149	4	10	fits	fit	VERB
ispiv-149	4	11	of	of	ADP
ispiv-149	4	12	a	a	DET
ispiv-149	4	13	small	small	ADJ
ispiv-149	4	14	number	number	NOUN
ispiv-149	4	15	of	of	ADP
ispiv-149	4	16	particle	particle	NOUN
ispiv-149	4	17	positions	position	NOUN
ispiv-149	4	18	are	be	AUX
ispiv-149	4	19	used	use	VERB
ispiv-149	4	20	in	in	ADP
ispiv-149	4	21	commercially	commercially	ADV
ispiv-149	4	22	available	available	ADJ
ispiv-149	4	23	softwares	software	NOUN
ispiv-149	4	24	and	and	CCONJ
ispiv-149	4	25	among	among	ADP
ispiv-149	4	26	research	research	NOUN
ispiv-149	4	27	teams	team	NOUN
ispiv-149	4	28	as	as	ADP
ispiv-149	4	29	a	a	DET
ispiv-149	4	30	straightforward	straightforward	ADJ
ispiv-149	4	31	solution	solution	NOUN
ispiv-149	4	32	to	to	PART
ispiv-149	4	33	obtain	obtain	VERB
ispiv-149	4	34	the	the	DET
ispiv-149	4	35	first	first	ADJ
ispiv-149	4	36	and	and	CCONJ
ispiv-149	4	37	second	second	ADJ
ispiv-149	4	38	order	order	NOUN
ispiv-149	4	39	derivatives	derivative	NOUN
ispiv-149	4	40	with	with	ADP
ispiv-149	4	41	a	a	DET
ispiv-149	4	42	limited	limited	ADJ
ispiv-149	4	43	effect	effect	NOUN
ispiv-149	4	44	of	of	ADP
ispiv-149	4	45	the	the	DET
ispiv-149	4	46	measurement	measurement	NOUN
ispiv-149	4	47	noise	noise	NOUN
ispiv-149	4	48	.	.	PUNCT
ispiv-149	5	1	additionally	additionally	ADV
ispiv-149	5	2	the	the	DET
ispiv-149	5	3	analyses	analysis	NOUN
ispiv-149	5	4	conducted	conduct	VERB
ispiv-149	5	5	during	during	ADP
ispiv-149	5	6	the	the	DET
ispiv-149	5	7	2020	2020	NUM
ispiv-149	5	8	lpt	lpt	PROPN
ispiv-149	5	9	challenge	challenge	NOUN
ispiv-149	5	10	(	(	PUNCT
ispiv-149	5	11	leclaire	leclaire	NOUN
ispiv-149	5	12	,	,	PUNCT
ispiv-149	5	13	2020	2020	NUM
ispiv-149	5	14	;	;	PUNCT
ispiv-149	5	15	sciacchitano	sciacchitano	VERB
ispiv-149	5	16	,	,	PUNCT
ispiv-149	5	17	2020	2020	NUM
ispiv-149	5	18	)	)	PUNCT
ispiv-149	5	19	have	have	AUX
ispiv-149	5	20	addressed	address	VERB
ispiv-149	5	21	the	the	DET
ispiv-149	5	22	performance	performance	NOUN
ispiv-149	5	23	of	of	ADP
ispiv-149	5	24	methodologies	methodology	NOUN
ispiv-149	5	25	used	use	VERB
ispiv-149	5	26	by	by	ADP
ispiv-149	5	27	different	different	ADJ
ispiv-149	5	28	groups	group	NOUN
ispiv-149	5	29	with	with	ADP
ispiv-149	5	30	respect	respect	NOUN
ispiv-149	5	31	to	to	ADP
ispiv-149	5	32	second	second	ADJ
ispiv-149	5	33	order	order	NOUN
ispiv-149	5	34	trajectory	trajectory	NOUN
ispiv-149	5	35	fits	fit	VERB
ispiv-149	5	36	for	for	ADP
ispiv-149	5	37	both	both	CCONJ
ispiv-149	5	38	multi	multi	ADJ
ispiv-149	5	39	-	-	ADJ
ispiv-149	5	40	pulse	pulse	ADJ
ispiv-149	5	41	and	and	CCONJ
ispiv-149	5	42	four	four	NUM
ispiv-149	5	43	-	-	PUNCT
ispiv-149	5	44	pulse	pulse	NOUN
ispiv-149	5	45	(	(	PUNCT
ispiv-149	5	46	novara	novara	PROPN
ispiv-149	5	47	et	et	PROPN
ispiv-149	5	48	.	.	PUNCT
ispiv-149	6	1	al	al	PROPN
ispiv-149	6	2	,	,	PUNCT
ispiv-149	6	3	2016	2016	NUM
ispiv-149	6	4	)	)	PUNCT
ispiv-149	6	5	lpt	lpt	PROPN
ispiv-149	6	6	cases	case	NOUN
ispiv-149	6	7	.	.	PUNCT
ispiv-149	7	1	on	on	ADP
ispiv-149	7	2	more	more	ADV
ispiv-149	7	3	advanced	advanced	ADJ
ispiv-149	7	4	theoretical	theoretical	ADJ
ispiv-149	7	5	grounds	ground	NOUN
ispiv-149	7	6	,	,	PUNCT
ispiv-149	7	7	geseman	geseman	PROPN
ispiv-149	7	8	et	et	PROPN
ispiv-149	7	9	.	.	PUNCT
ispiv-149	8	1	al	al	PROPN
ispiv-149	8	2	(	(	PUNCT
ispiv-149	8	3	2016	2016	NUM
ispiv-149	8	4	)	)	PUNCT
ispiv-149	8	5	have	have	AUX
ispiv-149	8	6	proposed	propose	VERB
ispiv-149	8	7	the	the	DET
ispiv-149	8	8	trackfit	trackfit	ADJ
ispiv-149	8	9	approach	approach	NOUN
ispiv-149	8	10	using	use	VERB
ispiv-149	8	11	penalized	penalize	VERB
ispiv-149	8	12	b	b	NOUN
ispiv-149	8	13	-	-	PUNCT
ispiv-149	8	14	splines	spline	NOUN
ispiv-149	8	15	with	with	ADP
ispiv-149	8	16	considerations	consideration	NOUN
ispiv-149	8	17	on	on	ADP
ispiv-149	8	18	the	the	DET
ispiv-149	8	19	time	time	NOUN
ispiv-149	8	20	-	-	PUNCT
ispiv-149	8	21	varying	vary	VERB
ispiv-149	8	22	acceleration	acceleration	NOUN
ispiv-149	8	23	rate	rate	NOUN
ispiv-149	8	24	(	(	PUNCT
ispiv-149	8	25	i.e.	i.e.	X
ispiv-149	8	26	jolt	jolt	NOUN
ispiv-149	8	27	or	or	CCONJ
ispiv-149	8	28	jerk	jerk	NOUN
ispiv-149	8	29	)	)	PUNCT
ispiv-149	8	30	and	and	CCONJ
ispiv-149	8	31	spectral	spectral	ADJ
ispiv-149	8	32	content	content	NOUN
ispiv-149	8	33	of	of	ADP
ispiv-149	8	34	noisy	noisy	ADJ
ispiv-149	8	35	particle	particle	NOUN
ispiv-149	8	36	tracks	track	NOUN
ispiv-149	8	37	.	.	PUNCT
ispiv-149	9	1	from	from	ADP
ispiv-149	9	2	a	a	DET
ispiv-149	9	3	general	general	ADJ
ispiv-149	9	4	point	point	NOUN
ispiv-149	9	5	of	of	ADP
ispiv-149	9	6	view	view	NOUN
ispiv-149	9	7	on	on	ADP
ispiv-149	9	8	function	function	NOUN
ispiv-149	9	9	approximations	approximation	NOUN
ispiv-149	9	10	,	,	PUNCT
ispiv-149	9	11	polynomial	polynomial	ADJ
ispiv-149	9	12	fit	fit	NOUN
ispiv-149	9	13	,	,	PUNCT
ispiv-149	9	14	taylor	taylor	PROPN
ispiv-149	9	15	developments	development	NOUN
ispiv-149	9	16	and	and	CCONJ
ispiv-149	9	17	finite	finite	VERB
ispiv-149	9	18	differences	difference	NOUN
ispiv-149	9	19	schemes	scheme	NOUN
ispiv-149	9	20	are	be	AUX
ispiv-149	9	21	absolutely	absolutely	ADV
ispiv-149	9	22	equivalent	equivalent	ADJ
ispiv-149	9	23	ingredients	ingredient	NOUN
ispiv-149	9	24	of	of	ADP
ispiv-149	9	25	a	a	DET
ispiv-149	9	26	unique	unique	ADJ
ispiv-149	9	27	framework	framework	NOUN
ispiv-149	9	28	in	in	ADP
ispiv-149	9	29	which	which	PRON
ispiv-149	9	30	discrete	discrete	ADJ
ispiv-149	9	31	sets	set	NOUN
ispiv-149	9	32	of	of	ADP
ispiv-149	9	33	ordered	order	VERB
ispiv-149	9	34	values	value	NOUN
ispiv-149	9	35	are	be	AUX
ispiv-149	9	36	represented	represent	VERB
ispiv-149	9	37	by	by	ADP
ispiv-149	9	38	continuous	continuous	ADJ
ispiv-149	9	39	functions	function	NOUN
ispiv-149	9	40	of	of	ADP
ispiv-149	9	41	a	a	DET
ispiv-149	9	42	single	single	ADJ
ispiv-149	9	43	parameter	parameter	NOUN
ispiv-149	9	44	.	.	PUNCT
ispiv-149	10	1	this	this	PRON
ispiv-149	10	2	can	can	AUX
ispiv-149	10	3	be	be	AUX
ispiv-149	10	4	easily	easily	ADV
ispiv-149	10	5	recalled	recall	VERB
ispiv-149	10	6	using	use	VERB
ispiv-149	10	7	linear	linear	ADJ
ispiv-149	10	8	algebra	algebra	NOUN
ispiv-149	10	9	applied	apply	VERB
ispiv-149	10	10	to	to	ADP
ispiv-149	10	11	the	the	DET
ispiv-149	10	12	construction	construction	NOUN
ispiv-149	10	13	of	of	ADP
ispiv-149	10	14	finite	finite	ADJ
ispiv-149	10	15	difference	difference	NOUN
ispiv-149	10	16	schemes	scheme	NOUN
ispiv-149	10	17	and	and	CCONJ
ispiv-149	10	18	to	to	ADP
ispiv-149	10	19	the	the	DET
ispiv-149	10	20	evaluation	evaluation	NOUN
ispiv-149	10	21	of	of	ADP
ispiv-149	10	22	their	their	PRON
ispiv-149	10	23	orders	order	NOUN
ispiv-149	10	24	of	of	ADP
ispiv-149	10	25	truncation	truncation	NOUN
ispiv-149	10	26	as	as	ADV
ispiv-149	10	27	well	well	ADV
ispiv-149	10	28	as	as	ADP
ispiv-149	10	29	their	their	PRON
ispiv-149	10	30	sensitivity	sensitivity	NOUN
ispiv-149	10	31	to	to	ADP
ispiv-149	10	32	measurement	measurement	NOUN
ispiv-149	10	33	noise	noise	NOUN
ispiv-149	10	34	.	.	PUNCT
ispiv-149	11	1	the	the	DET
ispiv-149	11	2	present	present	ADJ
ispiv-149	11	3	contribution	contribution	NOUN
ispiv-149	11	4	provides	provide	VERB
ispiv-149	11	5	a	a	DET
ispiv-149	11	6	practical	practical	ADJ
ispiv-149	11	7	methodology	methodology	NOUN
ispiv-149	11	8	that	that	PRON
ispiv-149	11	9	can	can	AUX
ispiv-149	11	10	be	be	AUX
ispiv-149	11	11	included	include	VERB
ispiv-149	11	12	in	in	ADP
ispiv-149	11	13	a	a	DET
ispiv-149	11	14	global	global	ADJ
ispiv-149	11	15	uncertainty	uncertainty	NOUN
ispiv-149	11	16	quantification	quantification	NOUN
ispiv-149	11	17	framework	framework	NOUN
ispiv-149	11	18	.	.	PUNCT
ispiv-149	12	1	examples	example	NOUN
ispiv-149	12	2	illustrating	illustrate	VERB
ispiv-149	12	3	a	a	DET
ispiv-149	12	4	variety	variety	NOUN
ispiv-149	12	5	of	of	ADP
ispiv-149	12	6	schemes	scheme	NOUN
ispiv-149	12	7	are	be	AUX
ispiv-149	12	8	presented	present	VERB
ispiv-149	12	9	,	,	PUNCT
ispiv-149	12	10	along	along	ADP
ispiv-149	12	11	with	with	ADP
ispiv-149	12	12	suggestions	suggestion	NOUN
ispiv-149	12	13	of	of	ADP
ispiv-149	12	14	analytical	analytical	ADJ
ispiv-149	12	15	tests	test	NOUN
ispiv-149	12	16	based	base	VERB
ispiv-149	12	17	on	on	ADP
ispiv-149	12	18	theoretical	theoretical	ADJ
ispiv-149	12	19	results	result	NOUN
ispiv-149	12	20	.	.	PUNCT
ispiv-149	13	1	1	1	NUM
ispiv-149	13	2	introduction	introduction	NOUN
ispiv-149	13	3	within	within	ADP
ispiv-149	13	4	the	the	DET
ispiv-149	13	5	lagrangian	lagrangian	ADJ
ispiv-149	13	6	particle	particle	NOUN
ispiv-149	13	7	tracking	tracking	NOUN
ispiv-149	13	8	(	(	PUNCT
ispiv-149	13	9	lpt	lpt	PROPN
ispiv-149	13	10	)	)	PUNCT
ispiv-149	13	11	framework	framework	NOUN
ispiv-149	13	12	,	,	PUNCT
ispiv-149	13	13	the	the	DET
ispiv-149	13	14	time	time	NOUN
ispiv-149	13	15	-	-	PUNCT
ispiv-149	13	16	history	history	NOUN
ispiv-149	13	17	spatial	spatial	ADJ
ispiv-149	13	18	positions	position	NOUN
ispiv-149	13	19	of	of	ADP
ispiv-149	13	20	the	the	DET
ispiv-149	13	21	individually	individually	ADV
ispiv-149	13	22	identified	identify	VERB
ispiv-149	13	23	particles	particle	NOUN
ispiv-149	13	24	are	be	AUX
ispiv-149	13	25	used	use	VERB
ispiv-149	13	26	to	to	PART
ispiv-149	13	27	constitute	constitute	VERB
ispiv-149	13	28	discrete	discrete	ADJ
ispiv-149	13	29	tracks	track	NOUN
ispiv-149	13	30	and	and	CCONJ
ispiv-149	13	31	compute	compute	VERB
ispiv-149	13	32	their	their	PRON
ispiv-149	13	33	trajectories	trajectory	NOUN
ispiv-149	13	34	as	as	ADV
ispiv-149	13	35	well	well	ADV
ispiv-149	13	36	as	as	ADP
ispiv-149	13	37	their	their	PRON
ispiv-149	13	38	kinematics	kinematic	NOUN
ispiv-149	13	39	.	.	PUNCT
ispiv-149	14	1	in	in	ADP
ispiv-149	14	2	pratice	pratice	NOUN
ispiv-149	14	3	,	,	PUNCT
ispiv-149	14	4	acquisition	acquisition	NOUN
ispiv-149	14	5	sequences	sequence	NOUN
ispiv-149	14	6	consist	consist	VERB
ispiv-149	14	7	in	in	ADP
ispiv-149	14	8	two-	two-	NUM
ispiv-149	14	9	,	,	PUNCT
ispiv-149	14	10	fouror	fouror	NOUN
ispiv-149	14	11	multi	multi	ADJ
ispiv-149	14	12	-	-	ADJ
ispiv-149	14	13	pulse	pulse	ADJ
ispiv-149	14	14	exposures	exposure	NOUN
ispiv-149	14	15	(	(	PUNCT
ispiv-149	14	16	resp	resp	NOUN
ispiv-149	14	17	.	.	PUNCT
ispiv-149	15	1	tp	tp	NOUN
ispiv-149	15	2	,	,	PUNCT
ispiv-149	15	3	fp	fp	PROPN
ispiv-149	15	4	and	and	CCONJ
ispiv-149	15	5	mp	mp	PROPN
ispiv-149	15	6	)	)	PUNCT
ispiv-149	15	7	resulting	result	VERB
ispiv-149	15	8	in	in	ADP
ispiv-149	15	9	two	two	NUM
ispiv-149	15	10	,	,	PUNCT
ispiv-149	15	11	four	four	NUM
ispiv-149	15	12	or	or	CCONJ
ispiv-149	15	13	multiple	multiple	ADJ
ispiv-149	15	14	successive	successive	ADJ
ispiv-149	15	15	measured	measure	VERB
ispiv-149	15	16	positions	position	NOUN
ispiv-149	15	17	of	of	ADP
ispiv-149	15	18	a	a	DET
ispiv-149	15	19	single	single	ADJ
ispiv-149	15	20	particle	particle	NOUN
ispiv-149	15	21	in	in	ADP
ispiv-149	15	22	space	space	NOUN
ispiv-149	15	23	,	,	PUNCT
ispiv-149	15	24	as	as	SCONJ
ispiv-149	15	25	depicted	depict	VERB
ispiv-149	15	26	in	in	ADP
ispiv-149	15	27	figure	figure	NOUN
ispiv-149	15	28	1	1	NUM
ispiv-149	15	29	.	.	PUNCT
ispiv-149	15	30	mailto:mohamed.larbi.kara.mostefa@univ-poitiers.fr	mailto:mohamed.larbi.kara.mostefa@univ-poitiers.fr	PROPN
ispiv-149	15	31	mailto:mohamed.larbi.kara.mostefa@univ-poitiers.fr	mailto:mohamed.larbi.kara.mostefa@univ-poitiers.fr	PROPN
ispiv-149	15	32	14th	14th	ADJ
ispiv-149	15	33	international	international	ADJ
ispiv-149	15	34	symposium	symposium	NOUN
ispiv-149	15	35	on	on	ADP
ispiv-149	15	36	particle	particle	NOUN
ispiv-149	15	37	image	image	NOUN
ispiv-149	15	38	velocimetry	velocimetry	NOUN
ispiv-149	15	39	–	–	PUNCT
ispiv-149	15	40	ispiv	ispiv	NOUN
ispiv-149	15	41	2021	2021	NUM
ispiv-149	15	42	august	august	PROPN
ispiv-149	15	43	1	1	NUM
ispiv-149	15	44	-	-	SYM
ispiv-149	15	45	5	5	NUM
ispiv-149	15	46	,	,	PUNCT
ispiv-149	15	47	2021	2021	NUM
ispiv-149	15	48	δtt	δtt	VERB
ispiv-149	15	49	δtt	δtt	PROPN
ispiv-149	15	50	δtt	δtt	PROPN
ispiv-149	15	51	δtt	δtt	PROPN
ispiv-149	15	52	δtt	δtt	PROPN
ispiv-149	15	53	δtt	δtt	PROPN
ispiv-149	15	54	δtt	δtt	PROPN
ispiv-149	15	55	’	'	PUNCT
ispiv-149	15	56	δtt	δtt	ADJ
ispiv-149	15	57	δtt	δtt	ADJ
ispiv-149	15	58	’	'	PUNCT
ispiv-149	15	59	figure	figure	NOUN
ispiv-149	15	60	1	1	NUM
ispiv-149	15	61	:	:	PUNCT
ispiv-149	15	62	typical	typical	ADJ
ispiv-149	15	63	distribution	distribution	NOUN
ispiv-149	15	64	of	of	ADP
ispiv-149	15	65	two	two	NUM
ispiv-149	15	66	(	(	PUNCT
ispiv-149	15	67	green	green	ADJ
ispiv-149	15	68	)	)	PUNCT
ispiv-149	15	69	four	four	NUM
ispiv-149	15	70	(	(	PUNCT
ispiv-149	15	71	blue	blue	ADJ
ispiv-149	15	72	)	)	PUNCT
ispiv-149	15	73	and	and	CCONJ
ispiv-149	15	74	multi	multi	ADJ
ispiv-149	15	75	-	-	ADJ
ispiv-149	15	76	pulse	pulse	ADJ
ispiv-149	15	77	(	(	PUNCT
ispiv-149	15	78	purple	purple	ADJ
ispiv-149	15	79	)	)	PUNCT
ispiv-149	15	80	lpt	lpt	PROPN
ispiv-149	15	81	measurement	measurement	NOUN
ispiv-149	15	82	time	time	NOUN
ispiv-149	15	83	lags	lag	VERB
ispiv-149	15	84	.	.	PUNCT
ispiv-149	16	1	in	in	ADP
ispiv-149	16	2	conventional	conventional	ADJ
ispiv-149	16	3	ptv	ptv	PROPN
ispiv-149	16	4	algorithms	algorithm	NOUN
ispiv-149	16	5	,	,	PUNCT
ispiv-149	16	6	tp	tp	NOUN
ispiv-149	16	7	measurements	measurement	NOUN
ispiv-149	16	8	are	be	AUX
ispiv-149	16	9	used	use	VERB
ispiv-149	16	10	to	to	PART
ispiv-149	16	11	derive	derive	VERB
ispiv-149	16	12	central	central	ADJ
ispiv-149	16	13	positions	position	NOUN
ispiv-149	16	14	and	and	CCONJ
ispiv-149	16	15	velocities	velocity	NOUN
ispiv-149	16	16	using	use	VERB
ispiv-149	16	17	second	second	ADJ
ispiv-149	16	18	-	-	PUNCT
ispiv-149	16	19	order	order	NOUN
ispiv-149	16	20	differentiation	differentiation	NOUN
ispiv-149	16	21	schemes	scheme	NOUN
ispiv-149	16	22	,	,	PUNCT
ispiv-149	16	23	thanks	thank	NOUN
ispiv-149	16	24	to	to	ADP
ispiv-149	16	25	the	the	DET
ispiv-149	16	26	symmetry	symmetry	NOUN
ispiv-149	16	27	properties	property	NOUN
ispiv-149	16	28	of	of	ADP
ispiv-149	16	29	the	the	DET
ispiv-149	16	30	2point	2point	NUM
ispiv-149	16	31	centered	center	VERB
ispiv-149	16	32	finite	finite	ADJ
ispiv-149	16	33	differences	difference	NOUN
ispiv-149	16	34	formulation	formulation	NOUN
ispiv-149	16	35	.	.	PUNCT
ispiv-149	17	1	a	a	DET
ispiv-149	17	2	minimum	minimum	NOUN
ispiv-149	17	3	of	of	ADP
ispiv-149	17	4	three	three	NUM
ispiv-149	17	5	positions	position	NOUN
ispiv-149	17	6	is	be	AUX
ispiv-149	17	7	needed	need	VERB
ispiv-149	17	8	to	to	PART
ispiv-149	17	9	obtain	obtain	VERB
ispiv-149	17	10	acceleration	acceleration	NOUN
ispiv-149	17	11	using	use	VERB
ispiv-149	17	12	second	second	ADJ
ispiv-149	17	13	order	order	NOUN
ispiv-149	17	14	derivation	derivation	NOUN
ispiv-149	17	15	schemes	scheme	NOUN
ispiv-149	17	16	.	.	PUNCT
ispiv-149	18	1	for	for	ADP
ispiv-149	18	2	fp	fp	PROPN
ispiv-149	18	3	and	and	CCONJ
ispiv-149	18	4	mp	mp	PROPN
ispiv-149	18	5	(	(	PUNCT
ispiv-149	18	6	i.e	i.e	ADV
ispiv-149	18	7	more	more	ADJ
ispiv-149	18	8	than	than	ADP
ispiv-149	18	9	two	two	NUM
ispiv-149	18	10	pulses	pulse	NOUN
ispiv-149	18	11	)	)	PUNCT
ispiv-149	18	12	lpt	lpt	PROPN
ispiv-149	18	13	measurements	measurement	NOUN
ispiv-149	18	14	,	,	PUNCT
ispiv-149	18	15	higher	high	ADJ
ispiv-149	18	16	order	order	NOUN
ispiv-149	18	17	derivatives	derivative	NOUN
ispiv-149	18	18	are	be	AUX
ispiv-149	18	19	accessible	accessible	ADJ
ispiv-149	18	20	using	use	VERB
ispiv-149	18	21	second	second	ADJ
ispiv-149	18	22	or	or	CCONJ
ispiv-149	18	23	higher	high	ADJ
ispiv-149	18	24	order	order	NOUN
ispiv-149	18	25	derivations	derivation	NOUN
ispiv-149	18	26	schemes	scheme	NOUN
ispiv-149	18	27	.	.	PUNCT
ispiv-149	19	1	apart	apart	ADV
ispiv-149	19	2	from	from	ADP
ispiv-149	19	3	the	the	DET
ispiv-149	19	4	jolt	jolt	NOUN
ispiv-149	19	5	which	which	PRON
ispiv-149	19	6	is	be	AUX
ispiv-149	19	7	sometimes	sometimes	ADV
ispiv-149	19	8	studied	study	VERB
ispiv-149	19	9	,	,	PUNCT
ispiv-149	19	10	the	the	DET
ispiv-149	19	11	quantities	quantity	NOUN
ispiv-149	19	12	of	of	ADP
ispiv-149	19	13	interest	interest	NOUN
ispiv-149	19	14	are	be	AUX
ispiv-149	19	15	most	most	ADV
ispiv-149	19	16	often	often	ADV
ispiv-149	19	17	limited	limit	VERB
ispiv-149	19	18	to	to	ADP
ispiv-149	19	19	position	position	NOUN
ispiv-149	19	20	,	,	PUNCT
ispiv-149	19	21	velocity	velocity	NOUN
ispiv-149	19	22	and	and	CCONJ
ispiv-149	19	23	acceleration	acceleration	NOUN
ispiv-149	19	24	.	.	PUNCT
ispiv-149	20	1	it	it	PRON
ispiv-149	20	2	is	be	AUX
ispiv-149	20	3	also	also	ADV
ispiv-149	20	4	of	of	ADP
ispiv-149	20	5	common	common	ADJ
ispiv-149	20	6	practice	practice	NOUN
ispiv-149	20	7	to	to	PART
ispiv-149	20	8	model	model	NOUN
ispiv-149	20	9	trajectories	trajectory	NOUN
ispiv-149	20	10	as	as	ADP
ispiv-149	20	11	piece	piece	NOUN
ispiv-149	20	12	-	-	PUNCT
ispiv-149	20	13	wise	wise	ADJ
ispiv-149	20	14	polynomials	polynomial	NOUN
ispiv-149	20	15	of	of	ADP
ispiv-149	20	16	degree	degree	NOUN
ispiv-149	20	17	ranging	range	VERB
ispiv-149	20	18	from	from	ADP
ispiv-149	20	19	2	2	NUM
ispiv-149	20	20	to	to	ADP
ispiv-149	20	21	a	a	DET
ispiv-149	20	22	few	few	ADJ
ispiv-149	20	23	units	unit	NOUN
ispiv-149	20	24	,	,	PUNCT
ispiv-149	20	25	from	from	ADP
ispiv-149	20	26	which	which	PRON
ispiv-149	20	27	these	these	DET
ispiv-149	20	28	quantities	quantity	NOUN
ispiv-149	20	29	are	be	AUX
ispiv-149	20	30	derived	derive	VERB
ispiv-149	20	31	.	.	PUNCT
ispiv-149	21	1	while	while	SCONJ
ispiv-149	21	2	finite	finite	ADJ
ispiv-149	21	3	differences	difference	NOUN
ispiv-149	21	4	derivation	derivation	NOUN
ispiv-149	21	5	schemes	scheme	NOUN
ispiv-149	21	6	at	at	ADP
ispiv-149	21	7	various	various	ADJ
ispiv-149	21	8	orders	order	NOUN
ispiv-149	21	9	are	be	AUX
ispiv-149	21	10	long	long	ADV
ispiv-149	21	11	known	know	VERB
ispiv-149	21	12	,	,	PUNCT
ispiv-149	21	13	they	they	PRON
ispiv-149	21	14	are	be	AUX
ispiv-149	21	15	often	often	ADV
ispiv-149	21	16	presented	present	VERB
ispiv-149	21	17	as	as	ADP
ispiv-149	21	18	well	well	ADV
ispiv-149	21	19	-	-	PUNCT
ispiv-149	21	20	chosen	choose	VERB
ispiv-149	21	21	linear	linear	NOUN
ispiv-149	21	22	combinations	combination	NOUN
ispiv-149	21	23	of	of	ADP
ispiv-149	21	24	taylor	taylor	PROPN
ispiv-149	21	25	developments	development	NOUN
ispiv-149	21	26	from	from	ADP
ispiv-149	21	27	which	which	PRON
ispiv-149	21	28	a	a	DET
ispiv-149	21	29	particular	particular	ADJ
ispiv-149	21	30	derivative	derivative	NOUN
ispiv-149	21	31	is	be	AUX
ispiv-149	21	32	obtained	obtain	VERB
ispiv-149	21	33	.	.	PUNCT
ispiv-149	22	1	elements	element	NOUN
ispiv-149	22	2	of	of	ADP
ispiv-149	22	3	the	the	DET
ispiv-149	22	4	richardson	richardson	PROPN
ispiv-149	22	5	expansion	expansion	NOUN
ispiv-149	22	6	are	be	AUX
ispiv-149	22	7	also	also	ADV
ispiv-149	22	8	sometimes	sometimes	ADV
ispiv-149	22	9	used	use	VERB
ispiv-149	22	10	to	to	PART
ispiv-149	22	11	build	build	VERB
ispiv-149	22	12	the	the	DET
ispiv-149	22	13	linear	linear	ADJ
ispiv-149	22	14	combinations	combination	NOUN
ispiv-149	22	15	that	that	PRON
ispiv-149	22	16	can	can	AUX
ispiv-149	22	17	increase	increase	VERB
ispiv-149	22	18	the	the	DET
ispiv-149	22	19	truncation	truncation	NOUN
ispiv-149	22	20	order	order	NOUN
ispiv-149	22	21	of	of	ADP
ispiv-149	22	22	a	a	DET
ispiv-149	22	23	given	give	VERB
ispiv-149	22	24	scheme	scheme	NOUN
ispiv-149	22	25	.	.	PUNCT
ispiv-149	23	1	the	the	DET
ispiv-149	23	2	formalism	formalism	NOUN
ispiv-149	23	3	used	use	VERB
ispiv-149	23	4	below	below	ADP
ispiv-149	23	5	aims	aim	NOUN
ispiv-149	23	6	at	at	ADP
ispiv-149	23	7	rationalizing	rationalize	VERB
ispiv-149	23	8	the	the	DET
ispiv-149	23	9	practical	practical	ADJ
ispiv-149	23	10	writing	writing	NOUN
ispiv-149	23	11	of	of	ADP
ispiv-149	23	12	differentiation	differentiation	NOUN
ispiv-149	23	13	schemes	scheme	NOUN
ispiv-149	23	14	with	with	ADP
ispiv-149	23	15	a	a	DET
ispiv-149	23	16	view	view	NOUN
ispiv-149	23	17	to	to	PART
ispiv-149	23	18	ease	ease	VERB
ispiv-149	23	19	the	the	DET
ispiv-149	23	20	estimation	estimation	NOUN
ispiv-149	23	21	of	of	ADP
ispiv-149	23	22	truncation	truncation	NOUN
ispiv-149	23	23	errors	error	NOUN
ispiv-149	23	24	,	,	PUNCT
ispiv-149	23	25	the	the	DET
ispiv-149	23	26	propagation	propagation	NOUN
ispiv-149	23	27	of	of	ADP
ispiv-149	23	28	measurement	measurement	NOUN
ispiv-149	23	29	noise	noise	NOUN
ispiv-149	23	30	and	and	CCONJ
ispiv-149	23	31	uncertainty	uncertainty	NOUN
ispiv-149	23	32	,	,	PUNCT
ispiv-149	23	33	and	and	CCONJ
ispiv-149	23	34	a	a	DET
ispiv-149	23	35	direct	direct	ADJ
ispiv-149	23	36	correspondence	correspondence	NOUN
ispiv-149	23	37	with	with	ADP
ispiv-149	23	38	polynomial	polynomial	ADJ
ispiv-149	23	39	approximations	approximation	NOUN
ispiv-149	23	40	.	.	PUNCT
ispiv-149	24	1	2	2	NUM
ispiv-149	24	2	taylor	taylor	PROPN
ispiv-149	24	3	development	development	NOUN
ispiv-149	24	4	and	and	CCONJ
ispiv-149	24	5	polynomial	polynomial	ADJ
ispiv-149	24	6	fit	fit	VERB
ispiv-149	24	7	the	the	DET
ispiv-149	24	8	estimation	estimation	NOUN
ispiv-149	24	9	of	of	ADP
ispiv-149	24	10	derivatives	derivative	NOUN
ispiv-149	24	11	using	use	VERB
ispiv-149	24	12	polynomial	polynomial	ADJ
ispiv-149	24	13	approximations	approximation	NOUN
ispiv-149	24	14	or	or	CCONJ
ispiv-149	24	15	schemes	scheme	NOUN
ispiv-149	24	16	based	base	VERB
ispiv-149	24	17	on	on	ADP
ispiv-149	24	18	taylor	taylor	PROPN
ispiv-149	24	19	developments	development	NOUN
ispiv-149	24	20	are	be	AUX
ispiv-149	24	21	perfectly	perfectly	ADV
ispiv-149	24	22	equivalent	equivalent	ADJ
ispiv-149	24	23	approaches	approach	NOUN
ispiv-149	24	24	.	.	PUNCT
ispiv-149	25	1	this	this	PRON
ispiv-149	25	2	is	be	AUX
ispiv-149	25	3	recalled	recall	VERB
ispiv-149	25	4	below	below	ADV
ispiv-149	25	5	in	in	ADP
ispiv-149	25	6	the	the	DET
ispiv-149	25	7	context	context	NOUN
ispiv-149	25	8	of	of	ADP
ispiv-149	25	9	discretized	discretized	ADJ
ispiv-149	25	10	trajectories	trajectory	NOUN
ispiv-149	25	11	.	.	PUNCT
ispiv-149	26	1	given	give	VERB
ispiv-149	26	2	a	a	DET
ispiv-149	26	3	set	set	NOUN
ispiv-149	26	4	of	of	ADP
ispiv-149	26	5	particle	particle	NOUN
ispiv-149	26	6	positions	position	NOUN
ispiv-149	26	7	xk	xk	PROPN
ispiv-149	26	8	belonging	belong	VERB
ispiv-149	26	9	to	to	ADP
ispiv-149	26	10	the	the	DET
ispiv-149	26	11	same	same	ADJ
ispiv-149	26	12	trajectory	trajectory	NOUN
ispiv-149	26	13	γ	γ	NOUN
ispiv-149	26	14	as	as	SCONJ
ispiv-149	26	15	obtained	obtain	VERB
ispiv-149	26	16	from	from	ADP
ispiv-149	26	17	trptv	trptv	NOUN
ispiv-149	26	18	or	or	CCONJ
ispiv-149	26	19	lpt	lpt	PROPN
ispiv-149	26	20	,	,	PUNCT
ispiv-149	26	21	positions	position	NOUN
ispiv-149	26	22	,	,	PUNCT
ispiv-149	26	23	velocities	velocity	NOUN
ispiv-149	26	24	,	,	PUNCT
ispiv-149	26	25	accelerations	acceleration	NOUN
ispiv-149	26	26	and	and	CCONJ
ispiv-149	26	27	other	other	ADJ
ispiv-149	26	28	derivatives	derivative	NOUN
ispiv-149	26	29	can	can	AUX
ispiv-149	26	30	be	be	AUX
ispiv-149	26	31	educed	educe	VERB
ispiv-149	26	32	from	from	ADP
ispiv-149	26	33	linear	linear	ADJ
ispiv-149	26	34	combinations	combination	NOUN
ispiv-149	26	35	of	of	ADP
ispiv-149	26	36	the	the	DET
ispiv-149	26	37	measured	measured	ADJ
ispiv-149	26	38	positions	position	NOUN
ispiv-149	26	39	using	use	VERB
ispiv-149	26	40	either	either	CCONJ
ispiv-149	26	41	finite	finite	ADJ
ispiv-149	26	42	differences	difference	NOUN
ispiv-149	26	43	or	or	CCONJ
ispiv-149	26	44	polynomial	polynomial	ADJ
ispiv-149	26	45	fits	fit	NOUN
ispiv-149	26	46	.	.	PUNCT
ispiv-149	27	1	given	give	VERB
ispiv-149	27	2	an	an	DET
ispiv-149	27	3	instant	instant	NOUN
ispiv-149	27	4	of	of	ADP
ispiv-149	27	5	interest	interest	NOUN
ispiv-149	27	6	t	t	NOUN
ispiv-149	27	7	and	and	CCONJ
ispiv-149	27	8	a	a	DET
ispiv-149	27	9	distribution	distribution	NOUN
ispiv-149	27	10	of	of	ADP
ispiv-149	27	11	time	time	NOUN
ispiv-149	27	12	lags	lag	VERB
ispiv-149	27	13	τk	τk	NOUN
ispiv-149	27	14	at	at	ADP
ispiv-149	27	15	which	which	PRON
ispiv-149	27	16	particle	particle	NOUN
ispiv-149	27	17	positions	position	NOUN
ispiv-149	27	18	are	be	AUX
ispiv-149	27	19	measured	measure	VERB
ispiv-149	27	20	,	,	PUNCT
ispiv-149	27	21	one	one	NUM
ispiv-149	27	22	writes	write	VERB
ispiv-149	27	23	:	:	PUNCT
ispiv-149	27	24	∀	∀	NOUN
ispiv-149	27	25	τk	τk	ADP
ispiv-149	27	26	,	,	PUNCT
ispiv-149	27	27	xk	xk	NOUN
ispiv-149	27	28	=	=	NOUN
ispiv-149	27	29	γ(t+τk)+ek	γ(t+τk)+ek	PUNCT
ispiv-149	27	30	,	,	PUNCT
ispiv-149	27	31	where	where	SCONJ
ispiv-149	27	32	ek	ek	PROPN
ispiv-149	27	33	is	be	AUX
ispiv-149	27	34	the	the	DET
ispiv-149	27	35	measurement	measurement	NOUN
ispiv-149	27	36	error	error	NOUN
ispiv-149	27	37	on	on	ADP
ispiv-149	27	38	the	the	DET
ispiv-149	27	39	particle	particle	NOUN
ispiv-149	27	40	position	position	NOUN
ispiv-149	27	41	.	.	PUNCT
ispiv-149	28	1	within	within	ADP
ispiv-149	28	2	a	a	DET
ispiv-149	28	3	set	set	NOUN
ispiv-149	28	4	t	t	PROPN
ispiv-149	28	5	m={t+τ1	m={t+τ1	PROPN
ispiv-149	28	6	;	;	PUNCT
ispiv-149	28	7	…	…	PUNCT
ispiv-149	28	8	;	;	PUNCT
ispiv-149	28	9	t+	t+	NOUN
ispiv-149	28	10	τm	τm	X
ispiv-149	28	11	}	}	PUNCT
ispiv-149	28	12	of	of	ADP
ispiv-149	28	13	m	m	PROPN
ispiv-149	28	14	measurement	measurement	NOUN
ispiv-149	28	15	instants	instant	NOUN
ispiv-149	28	16	,	,	PUNCT
ispiv-149	28	17	the	the	DET
ispiv-149	28	18	corresponding	corresponding	ADJ
ispiv-149	28	19	measured	measure	VERB
ispiv-149	28	20	and	and	CCONJ
ispiv-149	28	21	true	true	ADJ
ispiv-149	28	22	positions	position	NOUN
ispiv-149	28	23	are	be	AUX
ispiv-149	28	24	respectively	respectively	ADV
ispiv-149	28	25	written	write	VERB
ispiv-149	28	26	as	as	ADP
ispiv-149	28	27	xm=	xm=	PROPN
ispiv-149	28	28	[	[	PUNCT
ispiv-149	28	29	x1	x1	PROPN
ispiv-149	28	30	…	…	PUNCT
ispiv-149	28	31	xm	xm	X
ispiv-149	28	32	]	]	X
ispiv-149	28	33	⊤	⊤	PROPN
ispiv-149	28	34	and	and	CCONJ
ispiv-149	28	35	gm=[γ(t+τ1	gm=[γ(t+τ1	PROPN
ispiv-149	28	36	)	)	PUNCT
ispiv-149	28	37	…	…	PUNCT
ispiv-149	28	38	γ(t+τm	γ(t+τm	NOUN
ispiv-149	28	39	)	)	PUNCT
ispiv-149	28	40	]	]	X
ispiv-149	29	1	⊤	⊤	NOUN
ispiv-149	29	2	so	so	SCONJ
ispiv-149	29	3	that	that	SCONJ
ispiv-149	29	4	xm	xm	PROPN
ispiv-149	29	5	=	=	NOUN
ispiv-149	29	6	gm+em	gm+em	X
ispiv-149	29	7	.	.	PUNCT
ispiv-149	30	1	the	the	DET
ispiv-149	30	2	taylor	taylor	PROPN
ispiv-149	30	3	development	development	NOUN
ispiv-149	30	4	of	of	ADP
ispiv-149	30	5	order	order	NOUN
ispiv-149	30	6	n∈ℕ+	n∈ℕ+	PROPN
ispiv-149	30	7	of	of	ADP
ispiv-149	30	8	the	the	DET
ispiv-149	30	9	true	true	ADJ
ispiv-149	30	10	positions	position	NOUN
ispiv-149	30	11	around	around	ADP
ispiv-149	30	12	instant	instant	NOUN
ispiv-149	30	13	t	t	PROPN
ispiv-149	30	14	then	then	ADV
ispiv-149	30	15	writes	write	VERB
ispiv-149	30	16	:	:	PUNCT
ispiv-149	30	17	14th	14th	ADJ
ispiv-149	30	18	international	international	ADJ
ispiv-149	30	19	symposium	symposium	NOUN
ispiv-149	30	20	on	on	ADP
ispiv-149	30	21	particle	particle	NOUN
ispiv-149	30	22	image	image	NOUN
ispiv-149	30	23	velocimetry	velocimetry	NOUN
ispiv-149	30	24	–	–	PUNCT
ispiv-149	30	25	ispiv	ispiv	NOUN
ispiv-149	30	26	2021	2021	NUM
ispiv-149	30	27	august	august	PROPN
ispiv-149	30	28	1	1	NUM
ispiv-149	30	29	-	-	SYM
ispiv-149	30	30	5	5	NUM
ispiv-149	30	31	,	,	PUNCT
ispiv-149	30	32	2021	2021	NUM
ispiv-149	30	33	∀n∈ℕ+	∀n∈ℕ+	PROPN
ispiv-149	30	34	,	,	PUNCT
ispiv-149	30	35	∀	∀	NOUN
ispiv-149	30	36	τk	τk	ADP
ispiv-149	30	37	,	,	PUNCT
ispiv-149	30	38	γ	γ	X
ispiv-149	30	39	(	(	PUNCT
ispiv-149	30	40	t0+τk	t0+τk	NUM
ispiv-149	30	41	)	)	PUNCT
ispiv-149	30	42	=	=	NOUN
ispiv-149	30	43	γ(t	γ(t	NOUN
ispiv-149	30	44	)	)	PUNCT
ispiv-149	31	1	+	+	CCONJ
ispiv-149	31	2	τk	τk	ADP
ispiv-149	31	3	γ̇	γ̇	PROPN
ispiv-149	31	4	(	(	PUNCT
ispiv-149	31	5	t	t	PROPN
ispiv-149	31	6	)	)	PUNCT
ispiv-149	31	7	+	+	CCONJ
ispiv-149	31	8	…	…	PUNCT
ispiv-149	31	9	+	+	NUM
ispiv-149	31	10	τk	τk	ADP
ispiv-149	31	11	n	n	ADV
ispiv-149	31	12	γ	γ	X
ispiv-149	31	13	(	(	PUNCT
ispiv-149	31	14	n	n	CCONJ
ispiv-149	31	15	)	)	PUNCT
ispiv-149	31	16	(	(	PUNCT
ispiv-149	31	17	t	t	NOUN
ispiv-149	31	18	)	)	PUNCT
ispiv-149	31	19	/n	/n	PUNCT
ispiv-149	31	20	!	!	PUNCT
ispiv-149	32	1	+	+	NUM
ispiv-149	33	1	o	o	X
ispiv-149	33	2	(	(	PUNCT
ispiv-149	33	3	τk	τk	ADP
ispiv-149	33	4	n	n	PROPN
ispiv-149	33	5	)	)	PUNCT
ispiv-149	33	6	.	.	PUNCT
ispiv-149	34	1	yielding	yield	VERB
ispiv-149	34	2	,	,	PUNCT
ispiv-149	34	3	for	for	ADP
ispiv-149	34	4	the	the	DET
ispiv-149	34	5	set	set	PROPN
ispiv-149	34	6	t	t	PROPN
ispiv-149	34	7	m	m	AUX
ispiv-149	34	8	:	:	PUNCT
ispiv-149	34	9	gm=	gm=	PROPN
ispiv-149	34	10	[	[	PUNCT
ispiv-149	34	11	1	1	NUM
ispiv-149	34	12	τ1	τ1	NOUN
ispiv-149	34	13	…	…	PUNCT
ispiv-149	34	14	τ1	τ1	NOUN
ispiv-149	34	15	n	n	PRON
ispiv-149	34	16	⋮	⋮	NOUN
ispiv-149	34	17	⋮	⋮	NOUN
ispiv-149	34	18	1	1	NUM
ispiv-149	34	19	τm	τm	ADP
ispiv-149	34	20	…	…	PUNCT
ispiv-149	34	21	τm	τm	PRON
ispiv-149	34	22	n	n	X
ispiv-149	34	23	]	]	PUNCT
ispiv-149	34	24	[	[	PUNCT
ispiv-149	34	25	γ(t	γ(t	NOUN
ispiv-149	34	26	)	)	PUNCT
ispiv-149	34	27	⋮	⋮	NOUN
ispiv-149	34	28	γ	γ	X
ispiv-149	34	29	(	(	PUNCT
ispiv-149	34	30	n	n	CCONJ
ispiv-149	34	31	)	)	PUNCT
ispiv-149	34	32	(	(	PUNCT
ispiv-149	34	33	t)/n!]+o	t)/n!]+o	NOUN
ispiv-149	34	34	(	(	PUNCT
ispiv-149	34	35	τ1	τ1	NOUN
ispiv-149	34	36	n	n	PRON
ispiv-149	34	37	⋮	⋮	NOUN
ispiv-149	34	38	τm	τm	ADP
ispiv-149	34	39	n	n	PROPN
ispiv-149	34	40	)	)	PUNCT
ispiv-149	34	41	.	.	PUNCT
ispiv-149	35	1	similarly	similarly	ADV
ispiv-149	35	2	,	,	PUNCT
ispiv-149	35	3	a	a	DET
ispiv-149	35	4	polynomial	polynomial	ADJ
ispiv-149	35	5	p	p	NOUN
ispiv-149	35	6	of	of	ADP
ispiv-149	35	7	degree	degree	NOUN
ispiv-149	35	8	n	n	CCONJ
ispiv-149	35	9	fitting	fitting	ADJ
ispiv-149	35	10	positions	position	NOUN
ispiv-149	35	11	gm	gm	PROPN
ispiv-149	35	12	according	accord	VERB
ispiv-149	35	13	to	to	ADP
ispiv-149	35	14	a	a	DET
ispiv-149	35	15	given	give	VERB
ispiv-149	35	16	norm	norm	NOUN
ispiv-149	35	17	can	can	AUX
ispiv-149	35	18	be	be	AUX
ispiv-149	35	19	defined	define	VERB
ispiv-149	35	20	from	from	ADP
ispiv-149	35	21	its	its	PRON
ispiv-149	35	22	coefficients	coefficient	NOUN
ispiv-149	35	23	(	(	PUNCT
ispiv-149	35	24	ak)k=0	ak)k=0	NOUN
ispiv-149	35	25	…	…	PUNCT
ispiv-149	35	26	n	n	CCONJ
ispiv-149	35	27	and	and	CCONJ
ispiv-149	35	28	written	write	VERB
ispiv-149	35	29	for	for	ADP
ispiv-149	35	30	the	the	DET
ispiv-149	35	31	set	set	NOUN
ispiv-149	35	32	t	t	PROPN
ispiv-149	35	33	m	m	VERB
ispiv-149	35	34	as	as	ADP
ispiv-149	35	35	:	:	PUNCT
ispiv-149	35	36	[	[	X
ispiv-149	35	37	p	p	X
ispiv-149	35	38	(	(	PUNCT
ispiv-149	35	39	τp)]p=1	τp)]p=1	PROPN
ispiv-149	35	40	…	…	SYM
ispiv-149	35	41	m=	m=	X
ispiv-149	35	42	[	[	PUNCT
ispiv-149	35	43	1	1	NUM
ispiv-149	35	44	…	…	PUNCT
ispiv-149	35	45	τ1	τ1	NOUN
ispiv-149	35	46	k	k	NOUN
ispiv-149	35	47	…	…	PUNCT
ispiv-149	35	48	τ1	τ1	NOUN
ispiv-149	35	49	n	n	CCONJ
ispiv-149	35	50	⋮	⋮	NOUN
ispiv-149	35	51	⋮	⋮	NOUN
ispiv-149	35	52	1	1	NUM
ispiv-149	35	53	…	…	PUNCT
ispiv-149	35	54	τm	τm	PROPN
ispiv-149	35	55	k	k	X
ispiv-149	35	56	…	…	PUNCT
ispiv-149	35	57	τm	τm	PRON
ispiv-149	35	58	n	n	X
ispiv-149	35	59	]	]	X
ispiv-149	35	60	[	[	PUNCT
ispiv-149	35	61	a0	a0	PROPN
ispiv-149	35	62	⋮	⋮	NOUN
ispiv-149	35	63	an	an	X
ispiv-149	35	64	]	]	X
ispiv-149	35	65	.	.	PUNCT
ispiv-149	36	1	identifying	identify	VERB
ispiv-149	36	2	coefficients	coefficient	NOUN
ispiv-149	36	3	(	(	PUNCT
ispiv-149	36	4	ak)k=0	ak)k=0	NOUN
ispiv-149	36	5	…	…	PUNCT
ispiv-149	36	6	n	n	X
ispiv-149	36	7	to	to	ADP
ispiv-149	36	8	the	the	DET
ispiv-149	36	9	successive	successive	ADJ
ispiv-149	36	10	derivatives	derivative	NOUN
ispiv-149	36	11	of	of	ADP
ispiv-149	36	12	p	p	PROPN
ispiv-149	36	13	gives	give	VERB
ispiv-149	36	14	:	:	PUNCT
ispiv-149	36	15	∀	∀	X
ispiv-149	36	16	k∈{0	k∈{0	PROPN
ispiv-149	36	17	…	…	SYM
ispiv-149	36	18	n	n	CCONJ
ispiv-149	36	19	}	}	PUNCT
ispiv-149	36	20	,	,	PUNCT
ispiv-149	36	21	ak=	ak=	PROPN
ispiv-149	36	22	p(k)(0	p(k)(0	PROPN
ispiv-149	36	23	)	)	PUNCT
ispiv-149	36	24	k	k	PROPN
ispiv-149	36	25	!	!	PUNCT
ispiv-149	36	26	.	.	PUNCT
ispiv-149	37	1	so	so	ADV
ispiv-149	37	2	that	that	SCONJ
ispiv-149	37	3	[	[	X
ispiv-149	37	4	p	p	X
ispiv-149	37	5	(	(	PUNCT
ispiv-149	37	6	τp)]p=1	τp)]p=1	PROPN
ispiv-149	37	7	…	…	SYM
ispiv-149	37	8	m=	m=	X
ispiv-149	37	9	[	[	PUNCT
ispiv-149	37	10	1	1	NUM
ispiv-149	37	11	…	…	PUNCT
ispiv-149	37	12	τ1	τ1	NOUN
ispiv-149	37	13	k	k	NOUN
ispiv-149	37	14	…	…	PUNCT
ispiv-149	37	15	τ1	τ1	NOUN
ispiv-149	37	16	n	n	CCONJ
ispiv-149	37	17	⋮	⋮	NOUN
ispiv-149	37	18	⋮	⋮	NOUN
ispiv-149	37	19	1	1	NUM
ispiv-149	37	20	…	…	PUNCT
ispiv-149	37	21	τm	τm	PROPN
ispiv-149	37	22	k	k	X
ispiv-149	37	23	…	…	PUNCT
ispiv-149	37	24	τm	τm	PRON
ispiv-149	37	25	n	n	X
ispiv-149	37	26	]	]	X
ispiv-149	37	27	[	[	PUNCT
ispiv-149	37	28	p	p	X
ispiv-149	37	29	(	(	PUNCT
ispiv-149	37	30	0	0	NUM
ispiv-149	37	31	)	)	PUNCT
ispiv-149	37	32	ṗ	ṗ	NOUN
ispiv-149	37	33	(	(	PUNCT
ispiv-149	37	34	0	0	NUM
ispiv-149	37	35	)	)	PUNCT
ispiv-149	37	36	⋮	⋮	NOUN
ispiv-149	37	37	p(n)(0	p(n)(0	PROPN
ispiv-149	37	38	)	)	PUNCT
ispiv-149	37	39	/n	/n	PUNCT
ispiv-149	37	40	!	!	PUNCT
ispiv-149	37	41	]	]	PUNCT
ispiv-149	37	42	.	.	PUNCT
ispiv-149	38	1	for	for	ADP
ispiv-149	38	2	the	the	DET
ispiv-149	38	3	positions	position	NOUN
ispiv-149	38	4	gm	gm	PROPN
ispiv-149	38	5	and	and	CCONJ
ispiv-149	38	6	derivatives	derivative	NOUN
ispiv-149	38	7	(	(	PUNCT
ispiv-149	38	8	γ(k	γ(k	PROPN
ispiv-149	38	9	)	)	PUNCT
ispiv-149	38	10	(	(	PUNCT
ispiv-149	38	11	t))k=0	t))k=0	NOUN
ispiv-149	38	12	…	…	SYM
ispiv-149	38	13	n	n	PRON
ispiv-149	38	14	to	to	PART
ispiv-149	38	15	be	be	AUX
ispiv-149	38	16	approximated	approximate	VERB
ispiv-149	38	17	by	by	ADP
ispiv-149	38	18	polynomial	polynomial	ADJ
ispiv-149	38	19	p	p	NOUN
ispiv-149	38	20	,	,	PUNCT
ispiv-149	38	21	one	one	PRON
ispiv-149	38	22	therefore	therefore	ADV
ispiv-149	38	23	gets	get	VERB
ispiv-149	38	24	the	the	DET
ispiv-149	38	25	same	same	ADJ
ispiv-149	38	26	matrix	matrix	NOUN
ispiv-149	38	27	formulation	formulation	NOUN
ispiv-149	38	28	as	as	ADP
ispiv-149	38	29	the	the	DET
ispiv-149	38	30	one	one	NOUN
ispiv-149	38	31	provided	provide	VERB
ispiv-149	38	32	by	by	ADP
ispiv-149	38	33	the	the	DET
ispiv-149	38	34	taylor	taylor	PROPN
ispiv-149	38	35	development	development	NOUN
ispiv-149	38	36	of	of	ADP
ispiv-149	38	37	gm	gm	PROPN
ispiv-149	38	38	around	around	ADP
ispiv-149	38	39	instant	instant	NOUN
ispiv-149	38	40	t	t	PROPN
ispiv-149	38	41	.	.	PUNCT
ispiv-149	39	1	the	the	DET
ispiv-149	39	2	formal	formal	ADJ
ispiv-149	39	3	difference	difference	NOUN
ispiv-149	39	4	between	between	ADP
ispiv-149	39	5	the	the	DET
ispiv-149	39	6	two	two	NUM
ispiv-149	39	7	approaches	approach	NOUN
ispiv-149	39	8	lies	lie	VERB
ispiv-149	39	9	in	in	ADP
ispiv-149	39	10	the	the	DET
ispiv-149	39	11	presence	presence	NOUN
ispiv-149	39	12	of	of	ADP
ispiv-149	39	13	truncation	truncation	NOUN
ispiv-149	39	14	terms	term	NOUN
ispiv-149	39	15	in	in	ADP
ispiv-149	39	16	the	the	DET
ispiv-149	39	17	taylor	taylor	PROPN
ispiv-149	39	18	development	development	NOUN
ispiv-149	39	19	and	and	CCONJ
ispiv-149	39	20	,	,	PUNCT
ispiv-149	39	21	implicitly	implicitly	ADV
ispiv-149	39	22	,	,	PUNCT
ispiv-149	39	23	of	of	ADP
ispiv-149	39	24	a	a	DET
ispiv-149	39	25	possible	possible	ADJ
ispiv-149	39	26	fitting	fitting	ADJ
ispiv-149	39	27	error	error	NOUN
ispiv-149	39	28	in	in	ADP
ispiv-149	39	29	the	the	DET
ispiv-149	39	30	polynomial	polynomial	ADJ
ispiv-149	39	31	approximation	approximation	NOUN
ispiv-149	39	32	.	.	PUNCT
ispiv-149	40	1	3	3	NUM
ispiv-149	40	2	system	system	NOUN
ispiv-149	40	3	inversion	inversion	NOUN
ispiv-149	40	4	the	the	DET
ispiv-149	40	5	linear	linear	ADJ
ispiv-149	40	6	relation	relation	NOUN
ispiv-149	40	7	between	between	ADP
ispiv-149	40	8	the	the	DET
ispiv-149	40	9	positions	position	NOUN
ispiv-149	40	10	and	and	CCONJ
ispiv-149	40	11	derivatives	derivative	NOUN
ispiv-149	40	12	is	be	AUX
ispiv-149	40	13	fully	fully	ADV
ispiv-149	40	14	contained	contain	VERB
ispiv-149	40	15	in	in	ADP
ispiv-149	40	16	the	the	DET
ispiv-149	40	17	full	full	ADJ
ispiv-149	40	18	or	or	CCONJ
ispiv-149	40	19	truncated	truncated	ADJ
ispiv-149	40	20	vandermonde	vandermonde	NOUN
ispiv-149	40	21	matrix	matrix	NOUN
ispiv-149	40	22	constructed	construct	VERB
ispiv-149	40	23	from	from	ADP
ispiv-149	40	24	the	the	DET
ispiv-149	40	25	time	time	NOUN
ispiv-149	40	26	lags	lag	VERB
ispiv-149	40	27	.	.	PUNCT
ispiv-149	41	1	for	for	ADP
ispiv-149	41	2	an	an	DET
ispiv-149	41	3	equal	equal	ADJ
ispiv-149	41	4	number	number	NOUN
ispiv-149	41	5	of	of	ADP
ispiv-149	41	6	positions	position	NOUN
ispiv-149	41	7	and	and	CCONJ
ispiv-149	41	8	derivatives	derivative	NOUN
ispiv-149	41	9	terms	term	NOUN
ispiv-149	41	10	(	(	PUNCT
ispiv-149	41	11	m	m	NOUN
ispiv-149	41	12	=	=	NOUN
ispiv-149	41	13	n+1	n+1	PRON
ispiv-149	41	14	)	)	PUNCT
ispiv-149	41	15	,	,	PUNCT
ispiv-149	41	16	the	the	DET
ispiv-149	41	17	matrix	matrix	NOUN
ispiv-149	41	18	is	be	AUX
ispiv-149	41	19	complete	complete	ADJ
ispiv-149	41	20	and	and	CCONJ
ispiv-149	41	21	invertible	invertible	ADJ
ispiv-149	41	22	provided	provide	VERB
ispiv-149	41	23	that	that	SCONJ
ispiv-149	41	24	all	all	DET
ispiv-149	41	25	time	time	NOUN
ispiv-149	41	26	lags	lag	VERB
ispiv-149	41	27	are	be	AUX
ispiv-149	41	28	distinct	distinct	ADJ
ispiv-149	41	29	from	from	ADP
ispiv-149	41	30	each	each	DET
ispiv-149	41	31	other	other	ADJ
ispiv-149	41	32	.	.	PUNCT
ispiv-149	42	1	the	the	DET
ispiv-149	42	2	polynomial	polynomial	NOUN
ispiv-149	42	3	therefore	therefore	ADV
ispiv-149	42	4	provides	provide	VERB
ispiv-149	42	5	an	an	DET
ispiv-149	42	6	exact	exact	ADJ
ispiv-149	42	7	fit	fit	NOUN
ispiv-149	42	8	of	of	ADP
ispiv-149	42	9	the	the	DET
ispiv-149	42	10	measured	measure	VERB
ispiv-149	42	11	positions	position	NOUN
ispiv-149	42	12	.	.	PUNCT
ispiv-149	43	1	for	for	ADP
ispiv-149	43	2	reduced	reduce	VERB
ispiv-149	43	3	polynomial	polynomial	ADJ
ispiv-149	43	4	degrees	degree	NOUN
ispiv-149	43	5	or	or	CCONJ
ispiv-149	43	6	orders	order	NOUN
ispiv-149	43	7	of	of	ADP
ispiv-149	43	8	truncation	truncation	NOUN
ispiv-149	43	9	(	(	PUNCT
ispiv-149	43	10	i.e.	i.e.	X
ispiv-149	43	11	m	m	VERB
ispiv-149	43	12	>	>	X
ispiv-149	43	13	n+1	n+1	NUM
ispiv-149	43	14	)	)	PUNCT
ispiv-149	43	15	,	,	PUNCT
ispiv-149	43	16	the	the	DET
ispiv-149	43	17	truncated	truncated	ADJ
ispiv-149	43	18	vandermonde	vandermonde	NOUN
ispiv-149	43	19	matrix	matrix	NOUN
ispiv-149	43	20	is	be	AUX
ispiv-149	43	21	still	still	ADV
ispiv-149	43	22	left	leave	VERB
ispiv-149	43	23	-	-	PUNCT
ispiv-149	43	24	invertible	invertible	ADJ
ispiv-149	43	25	so	so	SCONJ
ispiv-149	43	26	that	that	SCONJ
ispiv-149	43	27	the	the	DET
ispiv-149	43	28	generalized	generalized	ADJ
ispiv-149	43	29	or	or	CCONJ
ispiv-149	43	30	the	the	DET
ispiv-149	43	31	moore	moore	PROPN
ispiv-149	43	32	-	-	PUNCT
ispiv-149	43	33	penrose	penrose	PROPN
ispiv-149	43	34	pseudoinverse	pseudoinverse	NOUN
ispiv-149	43	35	can	can	AUX
ispiv-149	43	36	be	be	AUX
ispiv-149	43	37	used	use	VERB
ispiv-149	43	38	to	to	PART
ispiv-149	43	39	identify	identify	VERB
ispiv-149	43	40	the	the	DET
ispiv-149	43	41	successive	successive	ADJ
ispiv-149	43	42	derivatives	derivative	NOUN
ispiv-149	43	43	.	.	PUNCT
ispiv-149	44	1	in	in	ADP
ispiv-149	44	2	the	the	DET
ispiv-149	44	3	following	follow	VERB
ispiv-149	44	4	paragraphs	paragraph	NOUN
ispiv-149	44	5	,	,	PUNCT
ispiv-149	44	6	a	a	DET
ispiv-149	44	7	reference	reference	NOUN
ispiv-149	44	8	time	time	NOUN
ispiv-149	44	9	lag	lag	NOUN
ispiv-149	44	10	dt	dt	NOUN
ispiv-149	44	11	will	will	AUX
ispiv-149	44	12	be	be	AUX
ispiv-149	44	13	used	use	VERB
ispiv-149	44	14	in	in	ADP
ispiv-149	44	15	order	order	NOUN
ispiv-149	44	16	to	to	PART
ispiv-149	44	17	represent	represent	VERB
ispiv-149	44	18	each	each	DET
ispiv-149	44	19	time	time	NOUN
ispiv-149	44	20	lag	lag	VERB
ispiv-149	44	21	τk	τk	ADP
ispiv-149	44	22	by	by	ADP
ispiv-149	44	23	τk	τk	NOUN
ispiv-149	44	24	=	=	NOUN
ispiv-149	44	25	αk	αk	ADP
ispiv-149	44	26	dt	dt	NOUN
ispiv-149	44	27	with	with	ADP
ispiv-149	44	28	∀	∀	NOUN
ispiv-149	44	29	k∈ℕ	k∈ℕ	VERB
ispiv-149	44	30	,	,	PUNCT
ispiv-149	44	31	αk∈ℕ	αk∈ℕ	PROPN
ispiv-149	44	32	,	,	PUNCT
ispiv-149	44	33	as	as	SCONJ
ispiv-149	44	34	represented	represent	VERB
ispiv-149	44	35	in	in	ADP
ispiv-149	44	36	figure	figure	NOUN
ispiv-149	44	37	2	2	NUM
ispiv-149	44	38	.	.	NOUN
ispiv-149	44	39	14th	14th	ADJ
ispiv-149	44	40	international	international	ADJ
ispiv-149	44	41	symposium	symposium	NOUN
ispiv-149	44	42	on	on	ADP
ispiv-149	44	43	particle	particle	NOUN
ispiv-149	44	44	image	image	NOUN
ispiv-149	44	45	velocimetry	velocimetry	NOUN
ispiv-149	44	46	–	–	PUNCT
ispiv-149	44	47	ispiv	ispiv	NOUN
ispiv-149	44	48	2021	2021	NUM
ispiv-149	44	49	august	august	PROPN
ispiv-149	44	50	1	1	NUM
ispiv-149	44	51	-	-	SYM
ispiv-149	44	52	5	5	NUM
ispiv-149	44	53	,	,	PUNCT
ispiv-149	44	54	2021	2021	NUM
ispiv-149	44	55	dt	dt	NOUN
ispiv-149	44	56	dt	dt	X
ispiv-149	45	1	rdt	rdt	PROPN
ispiv-149	45	2	dt	dt	X
ispiv-149	46	1	t	t	PROPN
ispiv-149	46	2	dt	dt	X
ispiv-149	47	1	dt	dt	PROPN
ispiv-149	47	2	t	t	PROPN
ispiv-149	47	3	t	t	PROPN
ispiv-149	47	4	rdt	rdt	PROPN
ispiv-149	47	5	3dt	3dt	NOUN
ispiv-149	47	6	3dt	3dt	NOUN
ispiv-149	47	7	2dt	2dt	NOUN
ispiv-149	48	1	2dtdt	2dtdt	NUM
ispiv-149	48	2	figure	figure	NOUN
ispiv-149	48	3	2	2	NUM
ispiv-149	48	4	:	:	PUNCT
ispiv-149	48	5	definition	definition	NOUN
ispiv-149	48	6	of	of	ADP
ispiv-149	48	7	two	two	NUM
ispiv-149	48	8	(	(	PUNCT
ispiv-149	48	9	green	green	ADJ
ispiv-149	48	10	)	)	PUNCT
ispiv-149	48	11	four	four	NUM
ispiv-149	48	12	(	(	PUNCT
ispiv-149	48	13	blue	blue	ADJ
ispiv-149	48	14	)	)	PUNCT
ispiv-149	48	15	and	and	CCONJ
ispiv-149	48	16	odd	odd	ADJ
ispiv-149	48	17	or	or	CCONJ
ispiv-149	48	18	even	even	ADV
ispiv-149	48	19	multi	multi	ADJ
ispiv-149	48	20	-	-	ADJ
ispiv-149	48	21	pulse	pulse	ADJ
ispiv-149	48	22	(	(	PUNCT
ispiv-149	48	23	purple	purple	ADJ
ispiv-149	48	24	)	)	PUNCT
ispiv-149	48	25	lpt	lpt	PROPN
ispiv-149	48	26	measurement	measurement	PROPN
ispiv-149	48	27	time	time	NOUN
ispiv-149	48	28	lags	lag	VERB
ispiv-149	48	29	referenced	reference	VERB
ispiv-149	48	30	to	to	ADP
ispiv-149	48	31	a	a	DET
ispiv-149	48	32	central	central	ADJ
ispiv-149	48	33	measurement	measurement	NOUN
ispiv-149	48	34	time	time	NOUN
ispiv-149	48	35	,	,	PUNCT
ispiv-149	48	36	as	as	SCONJ
ispiv-149	48	37	used	use	VERB
ispiv-149	48	38	in	in	ADP
ispiv-149	48	39	finite	finite	ADJ
ispiv-149	48	40	difference	difference	NOUN
ispiv-149	48	41	schemes	scheme	NOUN
ispiv-149	48	42	.	.	PUNCT
ispiv-149	49	1	the	the	DET
ispiv-149	49	2	taylor	taylor	PROPN
ispiv-149	49	3	development	development	PROPN
ispiv-149	49	4	now	now	ADV
ispiv-149	49	5	writes	write	VERB
ispiv-149	49	6	:	:	PUNCT
ispiv-149	49	7	gm=	gm=	PROPN
ispiv-149	49	8	[	[	PUNCT
ispiv-149	49	9	1	1	NUM
ispiv-149	49	10	α1	α1	PROPN
ispiv-149	49	11	…	…	SYM
ispiv-149	49	12	α1	α1	PROPN
ispiv-149	49	13	n	n	CCONJ
ispiv-149	49	14	⋮	⋮	NOUN
ispiv-149	49	15	⋮	⋮	NOUN
ispiv-149	49	16	1	1	NUM
ispiv-149	49	17	αm	αm	NOUN
ispiv-149	49	18	…	…	PUNCT
ispiv-149	49	19	αm	αm	NOUN
ispiv-149	49	20	n	n	X
ispiv-149	49	21	]	]	X
ispiv-149	49	22	[	[	PUNCT
ispiv-149	49	23	γ(t	γ(t	NOUN
ispiv-149	49	24	)	)	PUNCT
ispiv-149	49	25	⋮	⋮	NOUN
ispiv-149	49	26	γ	γ	X
ispiv-149	49	27	(	(	PUNCT
ispiv-149	49	28	n	n	CCONJ
ispiv-149	49	29	)	)	PUNCT
ispiv-149	49	30	(	(	PUNCT
ispiv-149	49	31	t)dtn	t)dtn	PROPN
ispiv-149	49	32	/	/	SYM
ispiv-149	49	33	n	n	NOUN
ispiv-149	49	34	!	!	PUNCT
ispiv-149	50	1	]	]	X
ispiv-149	50	2	+	+	ADJ
ispiv-149	50	3	o(dt	o(dt	NOUN
ispiv-149	50	4	n	n	NUM
ispiv-149	50	5	)	)	PUNCT
ispiv-149	50	6	.	.	PUNCT
ispiv-149	51	1	for	for	ADP
ispiv-149	51	2	a	a	DET
ispiv-149	51	3	square	square	ADJ
ispiv-149	51	4	system	system	NOUN
ispiv-149	51	5	,	,	PUNCT
ispiv-149	51	6	the	the	DET
ispiv-149	51	7	m×m	m×m	ADJ
ispiv-149	51	8	vandermonde	vandermonde	NOUN
ispiv-149	51	9	matrix	matrix	NOUN
ispiv-149	51	10	v	v	NOUN
ispiv-149	51	11	(	(	PUNCT
ispiv-149	51	12	α1	α1	PROPN
ispiv-149	51	13	,	,	PUNCT
ispiv-149	51	14	…	…	PUNCT
ispiv-149	51	15	,	,	PUNCT
ispiv-149	51	16	αm	αm	X
ispiv-149	51	17	)	)	PUNCT
ispiv-149	51	18	will	will	AUX
ispiv-149	51	19	be	be	AUX
ispiv-149	51	20	denoted	denote	VERB
ispiv-149	51	21	v	v	NUM
ispiv-149	51	22	m	m	PRON
ispiv-149	51	23	and	and	CCONJ
ispiv-149	51	24	its	its	PRON
ispiv-149	51	25	inverse	inverse	NOUN
ispiv-149	51	26	wm	wm	PROPN
ispiv-149	51	27	.	.	PUNCT
ispiv-149	52	1	for	for	ADP
ispiv-149	52	2	m	m	PROPN
ispiv-149	52	3	>	>	X
ispiv-149	52	4	n+1	n+1	PROPN
ispiv-149	52	5	,	,	PUNCT
ispiv-149	52	6	the	the	DET
ispiv-149	52	7	m×(n+1	m×(n+1	PROPN
ispiv-149	52	8	)	)	PUNCT
ispiv-149	52	9	truncated	truncate	VERB
ispiv-149	52	10	vandermonde	vandermonde	NOUN
ispiv-149	52	11	matrix	matrix	NOUN
ispiv-149	52	12	will	will	AUX
ispiv-149	52	13	be	be	AUX
ispiv-149	52	14	denoted	denote	VERB
ispiv-149	52	15	v	v	ADP
ispiv-149	52	16	mn	mn	PROPN
ispiv-149	52	17	and	and	CCONJ
ispiv-149	52	18	its	its	PRON
ispiv-149	52	19	(	(	PUNCT
ispiv-149	52	20	n+1)×m	n+1)×m	ADJ
ispiv-149	52	21	pseudo	pseudo	NOUN
ispiv-149	52	22	-	-	NOUN
ispiv-149	52	23	inverse	inverse	NOUN
ispiv-149	52	24	w	w	PROPN
ispiv-149	52	25	nm	nm	NOUN
ispiv-149	52	26	,	,	PUNCT
ispiv-149	52	27	noticing	notice	VERB
ispiv-149	52	28	that	that	PRON
ispiv-149	52	29	v	v	ADP
ispiv-149	52	30	m	m	NOUN
ispiv-149	52	31	=	=	NOUN
ispiv-149	52	32	v	v	NOUN
ispiv-149	52	33	m	m	VERB
ispiv-149	52	34	m−1	m−1	PROPN
ispiv-149	52	35	and	and	CCONJ
ispiv-149	52	36	wm	wm	PROPN
ispiv-149	52	37	=	=	PROPN
ispiv-149	52	38	wm−1	wm−1	PROPN
ispiv-149	52	39	m	m	PROPN
ispiv-149	52	40	.	.	PUNCT
ispiv-149	53	1	for	for	ADP
ispiv-149	53	2	the	the	DET
ispiv-149	53	3	estimation	estimation	NOUN
ispiv-149	53	4	of	of	ADP
ispiv-149	53	5	truncation	truncation	NOUN
ispiv-149	53	6	errors	error	NOUN
ispiv-149	53	7	,	,	PUNCT
ispiv-149	53	8	m×	m×	PROPN
ispiv-149	53	9	p	p	X
ispiv-149	53	10	(	(	PUNCT
ispiv-149	53	11	p	p	X
ispiv-149	53	12	>	>	PUNCT
ispiv-149	53	13	n	n	CCONJ
ispiv-149	53	14	)	)	PUNCT
ispiv-149	53	15	matrices	matrix	NOUN
ispiv-149	53	16	v	v	ADP
ispiv-149	53	17	mp	mp	PROPN
ispiv-149	53	18	will	will	AUX
ispiv-149	53	19	be	be	AUX
ispiv-149	53	20	used	use	VERB
ispiv-149	53	21	,	,	PUNCT
ispiv-149	53	22	which	which	PRON
ispiv-149	53	23	are	be	AUX
ispiv-149	53	24	either	either	CCONJ
ispiv-149	53	25	right	right	ADV
ispiv-149	53	26	-	-	PUNCT
ispiv-149	53	27	truncated	truncated	ADJ
ispiv-149	53	28	,	,	PUNCT
ispiv-149	53	29	square	square	ADJ
ispiv-149	53	30	or	or	CCONJ
ispiv-149	53	31	right	right	ADV
ispiv-149	53	32	-	-	PUNCT
ispiv-149	53	33	extended	extend	VERB
ispiv-149	53	34	vandermonde	vandermonde	ADJ
ispiv-149	53	35	matrices	matrix	NOUN
ispiv-149	53	36	,	,	PUNCT
ispiv-149	53	37	depending	depend	VERB
ispiv-149	53	38	on	on	ADP
ispiv-149	53	39	the	the	DET
ispiv-149	53	40	values	value	NOUN
ispiv-149	53	41	of	of	ADP
ispiv-149	53	42	m	m	PROPN
ispiv-149	53	43	,	,	PUNCT
ispiv-149	53	44	n	n	PROPN
ispiv-149	53	45	and	and	CCONJ
ispiv-149	53	46	p	p	NOUN
ispiv-149	53	47	.	.	PUNCT
ispiv-149	54	1	defining	define	VERB
ispiv-149	54	2	am=[α1	am=[α1	ADJ
ispiv-149	54	3	…	…	PUNCT
ispiv-149	54	4	αm	αm	X
ispiv-149	54	5	]	]	X
ispiv-149	54	6	⊤	⊤	NOUN
ispiv-149	54	7	and	and	CCONJ
ispiv-149	54	8	dn=[γ(t	dn=[γ(t	NOUN
ispiv-149	54	9	)	)	PUNCT
ispiv-149	54	10	…	…	PUNCT
ispiv-149	54	11	γ	γ	X
ispiv-149	54	12	(	(	PUNCT
ispiv-149	54	13	n	n	NOUN
ispiv-149	54	14	)	)	PUNCT
ispiv-149	54	15	(	(	PUNCT
ispiv-149	54	16	t)dt	t)dt	PROPN
ispiv-149	54	17	n	n	CCONJ
ispiv-149	54	18	/	/	SYM
ispiv-149	54	19	n	n	X
ispiv-149	54	20	!	!	PUNCT
ispiv-149	55	1	]	]	X
ispiv-149	55	2	⊤	⊤	NOUN
ispiv-149	55	3	,	,	PUNCT
ispiv-149	55	4	the	the	DET
ispiv-149	55	5	taylor	taylor	PROPN
ispiv-149	55	6	development	development	NOUN
ispiv-149	55	7	can	can	AUX
ispiv-149	55	8	also	also	ADV
ispiv-149	55	9	be	be	AUX
ispiv-149	55	10	formulated	formulate	VERB
ispiv-149	55	11	as	as	ADP
ispiv-149	55	12	:	:	PUNCT
ispiv-149	55	13	gm	gm	PROPN
ispiv-149	55	14	=	=	PROPN
ispiv-149	55	15	v	v	X
ispiv-149	55	16	mndn+o	mndn+o	X
ispiv-149	55	17	(	(	PUNCT
ispiv-149	55	18	dt	dt	NOUN
ispiv-149	55	19	n	n	ADJ
ispiv-149	55	20	)	)	PUNCT
ispiv-149	55	21	=	=	NOUN
ispiv-149	56	1	[	[	X
ispiv-149	56	2	am	be	AUX
ispiv-149	56	3	0	0	NUM
ispiv-149	56	4	…	…	PUNCT
ispiv-149	56	5	am	be	AUX
ispiv-149	56	6	n	n	X
ispiv-149	56	7	]	]	X
ispiv-149	56	8	dn+o	dn+o	PRON
ispiv-149	56	9	(	(	PUNCT
ispiv-149	56	10	dt	dt	NOUN
ispiv-149	56	11	n	n	ADJ
ispiv-149	56	12	)	)	PUNCT
ispiv-149	56	13	.	.	PUNCT
ispiv-149	57	1	3.1	3.1	NUM
ispiv-149	57	2	exact	exact	ADJ
ispiv-149	57	3	fit	fit	NOUN
ispiv-149	57	4	for	for	ADP
ispiv-149	57	5	m	m	NOUN
ispiv-149	57	6	=	=	NOUN
ispiv-149	57	7	n+1	n+1	PROPN
ispiv-149	57	8	,	,	PUNCT
ispiv-149	57	9	the	the	DET
ispiv-149	57	10	taylor	taylor	PROPN
ispiv-149	57	11	development	development	NOUN
ispiv-149	57	12	can	can	AUX
ispiv-149	57	13	be	be	AUX
ispiv-149	57	14	inverted	invert	VERB
ispiv-149	57	15	to	to	PART
ispiv-149	57	16	provide	provide	VERB
ispiv-149	57	17	v	v	ADP
ispiv-149	57	18	m	m	PRON
ispiv-149	57	19	−1gm	−1gm	NOUN
ispiv-149	57	20	=	=	SYM
ispiv-149	57	21	dm+o(dt	dm+o(dt	PROPN
ispiv-149	57	22	n	n	ADV
ispiv-149	57	23	)	)	PUNCT
ispiv-149	57	24	,	,	PUNCT
ispiv-149	57	25	so	so	SCONJ
ispiv-149	57	26	that	that	SCONJ
ispiv-149	57	27	dm	dm	PROPN
ispiv-149	57	28	=	=	SYM
ispiv-149	57	29	w	w	NOUN
ispiv-149	57	30	mgm+o(dt	mgm+o(dt	NOUN
ispiv-149	57	31	n	n	ADJ
ispiv-149	57	32	)	)	PUNCT
ispiv-149	57	33	.	.	PUNCT
ispiv-149	58	1	the	the	DET
ispiv-149	58	2	differentiation	differentiation	NOUN
ispiv-149	58	3	schemes	scheme	NOUN
ispiv-149	58	4	at	at	ADP
ispiv-149	58	5	all	all	DET
ispiv-149	58	6	orders	order	NOUN
ispiv-149	58	7	are	be	AUX
ispiv-149	58	8	therefore	therefore	ADV
ispiv-149	58	9	contained	contain	VERB
ispiv-149	58	10	in	in	ADP
ispiv-149	58	11	the	the	DET
ispiv-149	58	12	weighting	weighting	NOUN
ispiv-149	58	13	matrix	matrix	NOUN
ispiv-149	58	14	wm	wm	PROPN
ispiv-149	58	15	,	,	PUNCT
ispiv-149	58	16	modulated	modulate	VERB
ispiv-149	58	17	by	by	ADP
ispiv-149	58	18	the	the	DET
ispiv-149	58	19	temporal	temporal	ADJ
ispiv-149	58	20	and	and	CCONJ
ispiv-149	58	21	factorial	factorial	ADJ
ispiv-149	58	22	terms	term	NOUN
ispiv-149	58	23	,	,	PUNCT
ispiv-149	58	24	to	to	PART
ispiv-149	58	25	provide	provide	VERB
ispiv-149	58	26	an	an	DET
ispiv-149	58	27	estimate	estimate	NOUN
ispiv-149	58	28	of	of	ADP
ispiv-149	58	29	the	the	DET
ispiv-149	58	30	derivatives	derivative	NOUN
ispiv-149	58	31	as	as	ADP
ispiv-149	58	32	:	:	PUNCT
ispiv-149	58	33	[	[	PUNCT
ispiv-149	58	34	~	~	PUNCT
ispiv-149	58	35	γ(t	γ(t	NOUN
ispiv-149	58	36	)	)	PUNCT
ispiv-149	58	37	…	…	PUNCT
ispiv-149	59	1	~	~	PUNCT
ispiv-149	59	2	γ	γ	X
ispiv-149	59	3	(	(	PUNCT
ispiv-149	59	4	n	n	CCONJ
ispiv-149	59	5	)	)	PUNCT
ispiv-149	59	6	(	(	PUNCT
ispiv-149	59	7	t	t	NOUN
ispiv-149	59	8	)	)	PUNCT
ispiv-149	59	9	]	]	X
ispiv-149	59	10	⊤=diag	⊤=diag	PROPN
ispiv-149	59	11	(	(	PUNCT
ispiv-149	59	12	(	(	PUNCT
ispiv-149	59	13	k	k	X
ispiv-149	59	14	!	!	PUNCT
ispiv-149	59	15	/dt	/dt	PUNCT
ispiv-149	60	1	k	k	X
ispiv-149	60	2	)	)	PUNCT
ispiv-149	60	3	k=0	k=0	PROPN
ispiv-149	60	4	…	…	SYM
ispiv-149	60	5	m−1	m−1	PROPN
ispiv-149	60	6	)	)	PUNCT
ispiv-149	60	7	wm	wm	PROPN
ispiv-149	60	8	xm	xm	PROPN
ispiv-149	61	1	=	=	PROPN
ispiv-149	61	2	fmwm	fmwm	NOUN
ispiv-149	61	3	xm	xm	INTJ
ispiv-149	61	4	.	.	PUNCT
ispiv-149	62	1	formally	formally	ADV
ispiv-149	62	2	,	,	PUNCT
ispiv-149	62	3	the	the	DET
ispiv-149	62	4	order	order	NOUN
ispiv-149	62	5	of	of	ADP
ispiv-149	62	6	truncation	truncation	NOUN
ispiv-149	62	7	is	be	AUX
ispiv-149	62	8	equal	equal	ADJ
ispiv-149	62	9	to	to	ADP
ispiv-149	62	10	n	n	CCONJ
ispiv-149	62	11	=	=	PROPN
ispiv-149	62	12	m−1	m−1	PROPN
ispiv-149	62	13	but	but	CCONJ
ispiv-149	62	14	can	can	AUX
ispiv-149	62	15	drop	drop	VERB
ispiv-149	62	16	to	to	ADP
ispiv-149	62	17	lower	low	ADJ
ispiv-149	62	18	values	value	NOUN
ispiv-149	62	19	depending	depend	VERB
ispiv-149	62	20	on	on	ADP
ispiv-149	62	21	the	the	DET
ispiv-149	62	22	distribution	distribution	NOUN
ispiv-149	62	23	of	of	ADP
ispiv-149	62	24	the	the	DET
ispiv-149	62	25	time	time	NOUN
ispiv-149	62	26	lags	lag	VERB
ispiv-149	62	27	.	.	PUNCT
ispiv-149	63	1	14th	14th	ADJ
ispiv-149	63	2	international	international	ADJ
ispiv-149	63	3	symposium	symposium	NOUN
ispiv-149	63	4	on	on	ADP
ispiv-149	63	5	particle	particle	NOUN
ispiv-149	63	6	image	image	NOUN
ispiv-149	63	7	velocimetry	velocimetry	NOUN
ispiv-149	63	8	–	–	PUNCT
ispiv-149	63	9	ispiv	ispiv	NOUN
ispiv-149	63	10	2021	2021	NUM
ispiv-149	63	11	august	august	PROPN
ispiv-149	63	12	1	1	NUM
ispiv-149	63	13	-	-	SYM
ispiv-149	63	14	5	5	NUM
ispiv-149	63	15	,	,	PUNCT
ispiv-149	63	16	2021	2021	NUM
ispiv-149	63	17	3.1.1	3.1.1	NUM
ispiv-149	63	18	error	error	NOUN
ispiv-149	63	19	propagation	propagation	NOUN
ispiv-149	63	20	:	:	PUNCT
ispiv-149	63	21	in	in	ADP
ispiv-149	63	22	the	the	DET
ispiv-149	63	23	specific	specific	ADJ
ispiv-149	63	24	case	case	NOUN
ispiv-149	63	25	of	of	ADP
ispiv-149	63	26	an	an	DET
ispiv-149	63	27	exact	exact	ADJ
ispiv-149	63	28	fit	fit	NOUN
ispiv-149	63	29	,	,	PUNCT
ispiv-149	63	30	the	the	DET
ispiv-149	63	31	taylor	taylor	PROPN
ispiv-149	63	32	expansion	expansion	NOUN
ispiv-149	63	33	at	at	ADP
ispiv-149	63	34	order	order	NOUN
ispiv-149	63	35	n	n	CCONJ
ispiv-149	63	36	=	=	PROPN
ispiv-149	63	37	m−1	m−1	PROPN
ispiv-149	63	38	and	and	CCONJ
ispiv-149	63	39	the	the	DET
ispiv-149	63	40	polynomial	polynomial	ADJ
ispiv-149	63	41	fit	fit	NOUN
ispiv-149	63	42	of	of	ADP
ispiv-149	63	43	the	the	DET
ispiv-149	63	44	same	same	ADJ
ispiv-149	63	45	degree	degree	NOUN
ispiv-149	63	46	fall	fall	NOUN
ispiv-149	63	47	exactly	exactly	ADV
ispiv-149	63	48	on	on	ADP
ispiv-149	63	49	the	the	DET
ispiv-149	63	50	measured	measure	VERB
ispiv-149	63	51	positions	position	NOUN
ispiv-149	63	52	xm	xm	VERB
ispiv-149	63	53	,	,	PUNCT
ispiv-149	63	54	inducing	induce	VERB
ispiv-149	63	55	no	no	DET
ispiv-149	63	56	approximation	approximation	NOUN
ispiv-149	63	57	error	error	NOUN
ispiv-149	63	58	.	.	PUNCT
ispiv-149	64	1	it	it	PRON
ispiv-149	64	2	is	be	AUX
ispiv-149	64	3	then	then	ADV
ispiv-149	64	4	straightforward	straightforward	ADJ
ispiv-149	64	5	to	to	PART
ispiv-149	64	6	educe	educe	VERB
ispiv-149	64	7	the	the	DET
ispiv-149	64	8	levels	level	NOUN
ispiv-149	64	9	of	of	ADP
ispiv-149	64	10	error	error	NOUN
ispiv-149	64	11	propagation	propagation	NOUN
ispiv-149	64	12	due	due	ADJ
ispiv-149	64	13	the	the	DET
ispiv-149	64	14	differentiation	differentiation	NOUN
ispiv-149	64	15	schemes	scheme	NOUN
ispiv-149	64	16	as	as	ADP
ispiv-149	64	17	:	:	PUNCT
ispiv-149	64	18	um	um	INTJ
ispiv-149	64	19	=	=	NOUN
ispiv-149	64	20	fmwm	fmwm	NOUN
ispiv-149	64	21	em	em	PRON
ispiv-149	64	22	.	.	PUNCT
ispiv-149	65	1	this	this	DET
ispiv-149	65	2	formulation	formulation	NOUN
ispiv-149	65	3	evidences	evidence	VERB
ispiv-149	65	4	the	the	DET
ispiv-149	65	5	increasing	increase	VERB
ispiv-149	65	6	sensitivity	sensitivity	NOUN
ispiv-149	65	7	to	to	PART
ispiv-149	65	8	measurement	measurement	VERB
ispiv-149	65	9	errors	error	NOUN
ispiv-149	65	10	with	with	ADP
ispiv-149	65	11	increasing	increase	VERB
ispiv-149	65	12	truncation	truncation	NOUN
ispiv-149	65	13	orders	order	NOUN
ispiv-149	65	14	,	,	PUNCT
ispiv-149	65	15	as	as	ADP
ispiv-149	65	16	a	a	DET
ispiv-149	65	17	by	by	ADP
ispiv-149	65	18	-	-	PUNCT
ispiv-149	65	19	product	product	NOUN
ispiv-149	65	20	of	of	ADP
ispiv-149	65	21	the	the	DET
ispiv-149	65	22	well	well	ADV
ispiv-149	65	23	-	-	PUNCT
ispiv-149	65	24	known	know	VERB
ispiv-149	65	25	runge	runge	NOUN
ispiv-149	65	26	phenomenon	phenomenon	NOUN
ispiv-149	65	27	occurring	occur	VERB
ispiv-149	65	28	in	in	ADP
ispiv-149	65	29	increasing	increase	VERB
ispiv-149	65	30	order	order	NOUN
ispiv-149	65	31	polynomial	polynomial	ADJ
ispiv-149	65	32	interpolations	interpolation	NOUN
ispiv-149	65	33	3.1.2	3.1.2	NUM
ispiv-149	65	34	truncation	truncation	NOUN
ispiv-149	65	35	error	error	NOUN
ispiv-149	65	36	:	:	PUNCT
ispiv-149	65	37	the	the	DET
ispiv-149	65	38	truncation	truncation	NOUN
ispiv-149	65	39	error	error	NOUN
ispiv-149	65	40	at	at	ADP
ispiv-149	65	41	order	order	NOUN
ispiv-149	65	42	p	p	PRON
ispiv-149	65	43	>	>	X
ispiv-149	65	44	n+1	n+1	PROPN
ispiv-149	65	45	can	can	AUX
ispiv-149	65	46	be	be	AUX
ispiv-149	65	47	estimated	estimate	VERB
ispiv-149	65	48	using	use	VERB
ispiv-149	65	49	supplementary	supplementary	ADJ
ispiv-149	65	50	taylor	taylor	PROPN
ispiv-149	65	51	terms	term	NOUN
ispiv-149	65	52	:	:	PUNCT
ispiv-149	65	53	gm=	gm=	PROPN
ispiv-149	65	54	[	[	PUNCT
ispiv-149	65	55	am	be	AUX
ispiv-149	65	56	0	0	NUM
ispiv-149	65	57	am	be	AUX
ispiv-149	65	58	1	1	NUM
ispiv-149	65	59	…	…	PUNCT
ispiv-149	65	60	am	be	AUX
ispiv-149	65	61	p	p	X
ispiv-149	65	62	]	]	X
ispiv-149	65	63	[	[	PUNCT
ispiv-149	65	64	γ(t	γ(t	NOUN
ispiv-149	65	65	)	)	PUNCT
ispiv-149	65	66	⋮	⋮	NOUN
ispiv-149	65	67	γ	γ	X
ispiv-149	65	68	(	(	PUNCT
ispiv-149	65	69	p	p	NOUN
ispiv-149	65	70	)	)	PUNCT
ispiv-149	65	71	(	(	PUNCT
ispiv-149	65	72	t)dt	t)dt	PROPN
ispiv-149	65	73	p/	p/	NOUN
ispiv-149	65	74	p	p	X
ispiv-149	65	75	!	!	PUNCT
ispiv-149	66	1	]	]	X
ispiv-149	66	2	+	+	ADJ
ispiv-149	66	3	o(dt	o(dt	PROPN
ispiv-149	66	4	m	m	NOUN
ispiv-149	66	5	)	)	PUNCT
ispiv-149	67	1	=	=	NOUN
ispiv-149	67	2	v	v	NOUN
ispiv-149	67	3	mpdp+o	mpdp+o	NOUN
ispiv-149	67	4	(	(	PUNCT
ispiv-149	67	5	dt	dt	PROPN
ispiv-149	67	6	p	p	NOUN
ispiv-149	67	7	)	)	PUNCT
ispiv-149	67	8	=[	=[	NOUN
ispiv-149	67	9	v	v	NOUN
ispiv-149	67	10	m	m	NOUN
ispiv-149	67	11	am	be	AUX
ispiv-149	67	12	n+1	n+1	NUM
ispiv-149	67	13	…	…	PUNCT
ispiv-149	67	14	am	be	AUX
ispiv-149	67	15	p	p	X
ispiv-149	67	16	]	]	X
ispiv-149	67	17	d	d	X
ispiv-149	67	18	p+o(dt	p+o(dt	PROPN
ispiv-149	67	19	p	p	PROPN
ispiv-149	67	20	)	)	PUNCT
ispiv-149	67	21	.	.	PUNCT
ispiv-149	68	1	inverting	invert	VERB
ispiv-149	68	2	the	the	DET
ispiv-149	68	3	system	system	NOUN
ispiv-149	68	4	one	one	NOUN
ispiv-149	68	5	obtains	obtain	VERB
ispiv-149	68	6	:	:	PUNCT
ispiv-149	68	7	wmgm	wmgm	NOUN
ispiv-149	68	8	=	=	PROPN
ispiv-149	68	9	w	w	PROPN
ispiv-149	68	10	m[v	m[v	PROPN
ispiv-149	68	11	m	m	VERB
ispiv-149	68	12	am	be	AUX
ispiv-149	68	13	n+1	n+1	NUM
ispiv-149	68	14	…	…	PUNCT
ispiv-149	68	15	am	be	AUX
ispiv-149	68	16	p	p	X
ispiv-149	68	17	]	]	X
ispiv-149	68	18	d	d	X
ispiv-149	68	19	p+o	p+o	NUM
ispiv-149	68	20	(	(	PUNCT
ispiv-149	68	21	dt	dt	X
ispiv-149	68	22	p	p	NOUN
ispiv-149	68	23	)	)	PUNCT
ispiv-149	69	1	=	=	SYM
ispiv-149	69	2	wm[v	wm[v	PROPN
ispiv-149	69	3	m	m	VERB
ispiv-149	69	4	am	be	AUX
ispiv-149	69	5	m+1	m+1	PRON
ispiv-149	69	6	…	…	PUNCT
ispiv-149	69	7	am	be	AUX
ispiv-149	69	8	p	p	X
ispiv-149	69	9	]	]	X
ispiv-149	69	10	[	[	PUNCT
ispiv-149	69	11	dn+1	dn+1	X
ispiv-149	69	12	⋮	⋮	NOUN
ispiv-149	69	13	γ	γ	X
ispiv-149	69	14	(	(	PUNCT
ispiv-149	69	15	p)dt	p)dt	PROPN
ispiv-149	69	16	p	p	PROPN
ispiv-149	69	17	/	/	SYM
ispiv-149	69	18	p	p	X
ispiv-149	69	19	!	!	PUNCT
ispiv-149	70	1	]	]	X
ispiv-149	71	1	+	+	ADJ
ispiv-149	71	2	o(dt	o(dt	PROPN
ispiv-149	71	3	p	p	NOUN
ispiv-149	71	4	)	)	PUNCT
ispiv-149	71	5	and	and	CCONJ
ispiv-149	71	6	dn+1	dn+1	NOUN
ispiv-149	71	7	=	=	NOUN
ispiv-149	71	8	wmgm−wm	wmgm−wm	NOUN
ispiv-149	71	9	[	[	PUNCT
ispiv-149	71	10	am	be	AUX
ispiv-149	71	11	n+1	n+1	NUM
ispiv-149	71	12	…	…	PUNCT
ispiv-149	71	13	am	be	AUX
ispiv-149	71	14	p	p	X
ispiv-149	71	15	]	]	X
ispiv-149	72	1	[	[	X
ispiv-149	72	2	γ(n+	γ(n+	X
ispiv-149	72	3	1)dt	1)dt	PROPN
ispiv-149	72	4	n+1	n+1	PROPN
ispiv-149	72	5	/(n+1	/(n+1	NOUN
ispiv-149	72	6	)	)	PUNCT
ispiv-149	72	7	!	!	PUNCT
ispiv-149	73	1	…	…	PUNCT
ispiv-149	73	2	γ	γ	X
ispiv-149	73	3	(	(	PUNCT
ispiv-149	73	4	p)dt	p)dt	PROPN
ispiv-149	73	5	p	p	PROPN
ispiv-149	73	6	/	/	SYM
ispiv-149	73	7	p	p	X
ispiv-149	73	8	!	!	PUNCT
ispiv-149	73	9	]	]	PUNCT
ispiv-149	74	1	⊤	⊤	NOUN
ispiv-149	74	2	+	+	PROPN
ispiv-149	74	3	o(dt	o(dt	PROPN
ispiv-149	74	4	p	p	NOUN
ispiv-149	74	5	)	)	PUNCT
ispiv-149	74	6	.	.	PUNCT
ispiv-149	75	1	hence	hence	ADV
ispiv-149	75	2	,	,	PUNCT
ispiv-149	75	3	truncation	truncation	NOUN
ispiv-149	75	4	errors	error	NOUN
ispiv-149	75	5	at	at	ADP
ispiv-149	75	6	order	order	NOUN
ispiv-149	75	7	m	m	ADV
ispiv-149	75	8	=	=	NOUN
ispiv-149	75	9	n+1	n+1	PROPN
ispiv-149	75	10	and	and	CCONJ
ispiv-149	75	11	above	above	ADV
ispiv-149	75	12	are	be	AUX
ispiv-149	75	13	given	give	VERB
ispiv-149	75	14	by	by	ADP
ispiv-149	75	15	:	:	PUNCT
ispiv-149	75	16	∀	∀	X
ispiv-149	75	17	p	p	X
ispiv-149	75	18	>	>	X
ispiv-149	75	19	n+1	n+1	PROPN
ispiv-149	75	20	,	,	PUNCT
ispiv-149	75	21	fmwm	fmwm	NOUN
ispiv-149	75	22	[	[	PUNCT
ispiv-149	75	23	am	be	AUX
ispiv-149	75	24	n+1	n+1	NUM
ispiv-149	75	25	…	…	PUNCT
ispiv-149	75	26	am	be	AUX
ispiv-149	75	27	p	p	X
ispiv-149	75	28	]	]	X
ispiv-149	76	1	[	[	X
ispiv-149	76	2	γ(n+1)dt	γ(n+1)dt	NOUN
ispiv-149	76	3	n+1	n+1	X
ispiv-149	76	4	/(n+1	/(n+1	NOUN
ispiv-149	76	5	)	)	PUNCT
ispiv-149	76	6	!	!	PUNCT
ispiv-149	77	1	…	…	PUNCT
ispiv-149	77	2	γ	γ	X
ispiv-149	77	3	(	(	PUNCT
ispiv-149	77	4	p)dt	p)dt	PROPN
ispiv-149	77	5	p	p	PROPN
ispiv-149	77	6	/	/	SYM
ispiv-149	77	7	p	p	X
ispiv-149	77	8	!	!	PUNCT
ispiv-149	77	9	]	]	PUNCT
ispiv-149	78	1	⊤	⊤	NOUN
ispiv-149	78	2	+	+	NOUN
ispiv-149	78	3	o(dt	o(dt	PROPN
ispiv-149	78	4	p)=fmw	p)=fmw	NOUN
ispiv-149	78	5	m	m	VERB
ispiv-149	78	6	am	be	AUX
ispiv-149	78	7	n+1→	n+1→	NOUN
ispiv-149	78	8	pdn+1→	pdn+1→	PROPN
ispiv-149	78	9	p+o(dt	p+o(dt	PROPN
ispiv-149	78	10	p	p	PROPN
ispiv-149	78	11	)	)	PUNCT
ispiv-149	78	12	.	.	PUNCT
ispiv-149	79	1	considering	consider	VERB
ispiv-149	79	2	the	the	DET
ispiv-149	79	3	derivation	derivation	NOUN
ispiv-149	79	4	terms	term	NOUN
ispiv-149	79	5	(	(	PUNCT
ispiv-149	79	6	including	include	VERB
ispiv-149	79	7	the	the	DET
ispiv-149	79	8	0th	0th	ADJ
ispiv-149	79	9	order	order	NOUN
ispiv-149	79	10	term	term	NOUN
ispiv-149	79	11	)	)	PUNCT
ispiv-149	79	12	,	,	PUNCT
ispiv-149	79	13	the	the	DET
ispiv-149	79	14	remaining	remain	VERB
ispiv-149	79	15	truncation	truncation	NOUN
ispiv-149	79	16	error	error	NOUN
ispiv-149	79	17	terms	term	NOUN
ispiv-149	79	18	can	can	AUX
ispiv-149	79	19	be	be	AUX
ispiv-149	79	20	different	different	ADJ
ispiv-149	79	21	for	for	ADP
ispiv-149	79	22	each	each	DET
ispiv-149	79	23	derivation	derivation	NOUN
ispiv-149	79	24	order	order	NOUN
ispiv-149	79	25	depending	depend	VERB
ispiv-149	79	26	on	on	ADP
ispiv-149	79	27	the	the	DET
ispiv-149	79	28	distribution	distribution	NOUN
ispiv-149	79	29	of	of	ADP
ispiv-149	79	30	time	time	NOUN
ispiv-149	79	31	lags	lag	NOUN
ispiv-149	79	32	.	.	PUNCT
ispiv-149	80	1	3.2	3.2	NUM
ispiv-149	80	2	approximate	approximate	ADJ
ispiv-149	80	3	fit	fit	NOUN
ispiv-149	80	4	extending	extend	VERB
ispiv-149	80	5	this	this	DET
ispiv-149	80	6	approach	approach	NOUN
ispiv-149	80	7	to	to	ADP
ispiv-149	80	8	lower	low	ADJ
ispiv-149	80	9	order	order	NOUN
ispiv-149	80	10	estimates	estimate	NOUN
ispiv-149	80	11	in	in	ADP
ispiv-149	80	12	which	which	PRON
ispiv-149	80	13	n	n	CCONJ
ispiv-149	80	14	<	<	X
ispiv-149	80	15	m−1	m−1	PROPN
ispiv-149	80	16	is	be	AUX
ispiv-149	80	17	almost	almost	ADV
ispiv-149	80	18	identical	identical	ADJ
ispiv-149	80	19	,	,	PUNCT
ispiv-149	80	20	although	although	SCONJ
ispiv-149	80	21	the	the	DET
ispiv-149	80	22	vandermonde	vandermonde	ADJ
ispiv-149	80	23	matrix	matrix	NOUN
ispiv-149	80	24	will	will	AUX
ispiv-149	80	25	not	not	PART
ispiv-149	80	26	be	be	AUX
ispiv-149	80	27	fully	fully	ADV
ispiv-149	80	28	obtained	obtain	VERB
ispiv-149	80	29	and	and	CCONJ
ispiv-149	80	30	an	an	DET
ispiv-149	80	31	over	over	ADV
ispiv-149	80	32	-	-	PUNCT
ispiv-149	80	33	constrained	constrain	VERB
ispiv-149	80	34	system	system	NOUN
ispiv-149	80	35	will	will	AUX
ispiv-149	80	36	be	be	AUX
ispiv-149	80	37	defined	define	VERB
ispiv-149	80	38	.	.	PUNCT
ispiv-149	81	1	however	however	ADV
ispiv-149	81	2	,	,	PUNCT
ispiv-149	81	3	as	as	SCONJ
ispiv-149	81	4	right	right	ADV
ispiv-149	81	5	-	-	PUNCT
ispiv-149	81	6	truncated	truncate	VERB
ispiv-149	81	7	vandermonde	vandermonde	NOUN
ispiv-149	81	8	matrices	matrix	NOUN
ispiv-149	81	9	are	be	AUX
ispiv-149	81	10	always	always	ADV
ispiv-149	81	11	left	leave	VERB
ispiv-149	81	12	-	-	PUNCT
ispiv-149	81	13	invertible	invertible	ADJ
ispiv-149	81	14	,	,	PUNCT
ispiv-149	81	15	their	their	PRON
ispiv-149	81	16	pseudo	pseudo	NOUN
ispiv-149	81	17	-	-	ADJ
ispiv-149	81	18	inverse	inverse	ADJ
ispiv-149	81	19	writes	write	NOUN
ispiv-149	81	20	:	:	PUNCT
ispiv-149	81	21	w	w	X
ispiv-149	81	22	nm=(v	nm=(v	NUM
ispiv-149	81	23	mn	mn	PROPN
ispiv-149	81	24	⊤	⊤	PROPN
ispiv-149	81	25	v	v	PROPN
ispiv-149	81	26	mn	mn	PROPN
ispiv-149	81	27	)	)	PUNCT
ispiv-149	81	28	−1	−1	NOUN
ispiv-149	81	29	v	v	PROPN
ispiv-149	81	30	mn	mn	PROPN
ispiv-149	81	31	⊤	⊤	NOUN
ispiv-149	81	32	so	so	SCONJ
ispiv-149	81	33	that	that	SCONJ
ispiv-149	81	34	w	w	PROPN
ispiv-149	81	35	nmv	nmv	PROPN
ispiv-149	81	36	mn=1n+1	mn=1n+1	PROPN
ispiv-149	81	37	.	.	PUNCT
ispiv-149	82	1	14th	14th	ADJ
ispiv-149	82	2	international	international	ADJ
ispiv-149	82	3	symposium	symposium	NOUN
ispiv-149	82	4	on	on	ADP
ispiv-149	82	5	particle	particle	NOUN
ispiv-149	82	6	image	image	NOUN
ispiv-149	82	7	velocimetry	velocimetry	NOUN
ispiv-149	82	8	–	–	PUNCT
ispiv-149	82	9	ispiv	ispiv	NOUN
ispiv-149	82	10	2021	2021	NUM
ispiv-149	82	11	august	august	PROPN
ispiv-149	82	12	1	1	NUM
ispiv-149	82	13	-	-	SYM
ispiv-149	82	14	5	5	NUM
ispiv-149	82	15	,	,	PUNCT
ispiv-149	82	16	2021	2021	NUM
ispiv-149	82	17	the	the	DET
ispiv-149	82	18	pseudo	pseudo	NOUN
ispiv-149	82	19	-	-	NOUN
ispiv-149	82	20	inverse	inverse	NOUN
ispiv-149	82	21	w	w	NOUN
ispiv-149	82	22	nm	nm	PROPN
ispiv-149	82	23	provides	provide	VERB
ispiv-149	82	24	the	the	DET
ispiv-149	82	25	differentiation	differentiation	NOUN
ispiv-149	82	26	scheme	scheme	NOUN
ispiv-149	82	27	to	to	PART
ispiv-149	82	28	be	be	AUX
ispiv-149	82	29	used	use	VERB
ispiv-149	82	30	to	to	PART
ispiv-149	82	31	fit	fit	VERB
ispiv-149	82	32	the	the	DET
ispiv-149	82	33	trajectory	trajectory	NOUN
ispiv-149	82	34	and	and	CCONJ
ispiv-149	82	35	its	its	PRON
ispiv-149	82	36	n	n	PRON
ispiv-149	82	37	first	first	ADJ
ispiv-149	82	38	derivatives	derivative	NOUN
ispiv-149	82	39	,	,	PUNCT
ispiv-149	82	40	as	as	SCONJ
ispiv-149	82	41	gm	gm	PROPN
ispiv-149	82	42	=	=	PROPN
ispiv-149	82	43	v	v	X
ispiv-149	82	44	mndn+o	mndn+o	X
ispiv-149	82	45	(	(	PUNCT
ispiv-149	82	46	dt	dt	NOUN
ispiv-149	82	47	n	n	CCONJ
ispiv-149	82	48	)	)	PUNCT
ispiv-149	82	49	and	and	CCONJ
ispiv-149	82	50	w	w	PROPN
ispiv-149	82	51	nmgm	nmgm	NOUN
ispiv-149	82	52	=	=	ADJ
ispiv-149	82	53	dn+o	dn+o	X
ispiv-149	82	54	(	(	PUNCT
ispiv-149	82	55	dt	dt	NOUN
ispiv-149	82	56	n	n	CCONJ
ispiv-149	82	57	)	)	PUNCT
ispiv-149	82	58	.	.	PUNCT
ispiv-149	83	1	the	the	DET
ispiv-149	83	2	derivatives	derivative	NOUN
ispiv-149	83	3	are	be	AUX
ispiv-149	83	4	estimated	estimate	VERB
ispiv-149	83	5	using	use	VERB
ispiv-149	83	6	[	[	PUNCT
ispiv-149	83	7	~	~	PUNCT
ispiv-149	83	8	γ(t	γ(t	NOUN
ispiv-149	83	9	)	)	PUNCT
ispiv-149	83	10	…	…	PUNCT
ispiv-149	84	1	~	~	PUNCT
ispiv-149	84	2	γ	γ	X
ispiv-149	84	3	(	(	PUNCT
ispiv-149	84	4	n	n	CCONJ
ispiv-149	84	5	)	)	PUNCT
ispiv-149	84	6	(	(	PUNCT
ispiv-149	84	7	t	t	NOUN
ispiv-149	84	8	)	)	PUNCT
ispiv-149	84	9	]	]	X
ispiv-149	84	10	⊤=fn+1w	⊤=fn+1w	PROPN
ispiv-149	84	11	nm	nm	INTJ
ispiv-149	84	12	xm	xm	PROPN
ispiv-149	84	13	.	.	PUNCT
ispiv-149	85	1	hence	hence	ADV
ispiv-149	85	2	,	,	PUNCT
ispiv-149	85	3	the	the	DET
ispiv-149	85	4	levels	level	NOUN
ispiv-149	85	5	of	of	ADP
ispiv-149	85	6	error	error	NOUN
ispiv-149	85	7	propagation	propagation	NOUN
ispiv-149	85	8	due	due	ADJ
ispiv-149	85	9	the	the	DET
ispiv-149	85	10	differentiation	differentiation	NOUN
ispiv-149	85	11	schemes	scheme	NOUN
ispiv-149	85	12	are	be	AUX
ispiv-149	85	13	:	:	PUNCT
ispiv-149	85	14	un+1	un+1	ADJ
ispiv-149	85	15	=	=	SYM
ispiv-149	85	16	fn+1w	fn+1w	ADJ
ispiv-149	85	17	nmem	nmem	VERB
ispiv-149	85	18	.	.	PUNCT
ispiv-149	86	1	the	the	DET
ispiv-149	86	2	truncation	truncation	NOUN
ispiv-149	86	3	error	error	NOUN
ispiv-149	86	4	at	at	ADP
ispiv-149	86	5	order	order	NOUN
ispiv-149	86	6	p	p	PRON
ispiv-149	86	7	>	>	X
ispiv-149	86	8	n+1	n+1	PROPN
ispiv-149	86	9	are	be	AUX
ispiv-149	86	10	given	give	VERB
ispiv-149	86	11	by	by	ADP
ispiv-149	86	12	:	:	PUNCT
ispiv-149	86	13	∀	∀	X
ispiv-149	86	14	p	p	X
ispiv-149	86	15	>	>	X
ispiv-149	86	16	n+1	n+1	PROPN
ispiv-149	86	17	,	,	PUNCT
ispiv-149	86	18	fn+1w	fn+1w	ADJ
ispiv-149	86	19	nm	nm	NOUN
ispiv-149	86	20	am	be	AUX
ispiv-149	86	21	n+1→pdn+1→	n+1→pdn+1→	PROPN
ispiv-149	87	1	p+o(dt	p+o(dt	PROPN
ispiv-149	87	2	p	p	NOUN
ispiv-149	87	3	)	)	PUNCT
ispiv-149	87	4	.	.	PUNCT
ispiv-149	88	1	the	the	DET
ispiv-149	88	2	approximate	approximate	ADJ
ispiv-149	88	3	fit	fit	NOUN
ispiv-149	88	4	therefore	therefore	ADV
ispiv-149	88	5	directly	directly	ADV
ispiv-149	88	6	generalizes	generalize	VERB
ispiv-149	88	7	the	the	DET
ispiv-149	88	8	exact	exact	ADJ
ispiv-149	88	9	fit	fit	NOUN
ispiv-149	88	10	using	use	VERB
ispiv-149	88	11	either	either	CCONJ
ispiv-149	88	12	the	the	DET
ispiv-149	88	13	standard	standard	ADJ
ispiv-149	88	14	or	or	CCONJ
ispiv-149	88	15	pseudo	pseudo	NOUN
ispiv-149	88	16	-	-	NOUN
ispiv-149	88	17	inverses	inverse	NOUN
ispiv-149	88	18	of	of	ADP
ispiv-149	88	19	vandermonde	vandermonde	ADJ
ispiv-149	88	20	matrices	matrix	NOUN
ispiv-149	88	21	constructed	construct	VERB
ispiv-149	88	22	from	from	ADP
ispiv-149	88	23	a	a	DET
ispiv-149	88	24	taylor	taylor	PROPN
ispiv-149	88	25	development	development	NOUN
ispiv-149	88	26	.	.	PUNCT
ispiv-149	89	1	3.3	3.3	NUM
ispiv-149	89	2	examples	example	NOUN
ispiv-149	89	3	the	the	DET
ispiv-149	89	4	application	application	NOUN
ispiv-149	89	5	of	of	ADP
ispiv-149	89	6	these	these	DET
ispiv-149	89	7	procedures	procedure	NOUN
ispiv-149	89	8	are	be	AUX
ispiv-149	89	9	easily	easily	ADV
ispiv-149	89	10	illustrated	illustrate	VERB
ispiv-149	89	11	using	use	VERB
ispiv-149	89	12	examples	example	NOUN
ispiv-149	89	13	on	on	ADP
ispiv-149	89	14	common	common	ADJ
ispiv-149	89	15	use	use	NOUN
ispiv-149	89	16	.	.	PUNCT
ispiv-149	90	1	for	for	ADP
ispiv-149	90	2	tp	tp	NOUN
ispiv-149	90	3	measurements	measurement	NOUN
ispiv-149	90	4	,	,	PUNCT
ispiv-149	90	5	the	the	DET
ispiv-149	90	6	two	two	NUM
ispiv-149	90	7	-	-	PUNCT
ispiv-149	90	8	point	point	NOUN
ispiv-149	90	9	centered	center	VERB
ispiv-149	90	10	derivation	derivation	NOUN
ispiv-149	90	11	scheme	scheme	NOUN
ispiv-149	90	12	leads	lead	VERB
ispiv-149	90	13	to	to	ADP
ispiv-149	90	14	3rd	3rd	ADJ
ispiv-149	90	15	order	order	NOUN
ispiv-149	90	16	truncation	truncation	NOUN
ispiv-149	90	17	errors	error	NOUN
ispiv-149	90	18	for	for	ADP
ispiv-149	90	19	the	the	DET
ispiv-149	90	20	first	first	ADJ
ispiv-149	90	21	derivative	derivative	NOUN
ispiv-149	90	22	,	,	PUNCT
ispiv-149	90	23	although	although	SCONJ
ispiv-149	90	24	it	it	PRON
ispiv-149	90	25	is	be	AUX
ispiv-149	90	26	based	base	VERB
ispiv-149	90	27	on	on	ADP
ispiv-149	90	28	a	a	DET
ispiv-149	90	29	first	first	ADJ
ispiv-149	90	30	order	order	NOUN
ispiv-149	90	31	development	development	NOUN
ispiv-149	90	32	.	.	PUNCT
ispiv-149	91	1	for	for	ADP
ispiv-149	91	2	mp	mp	PROPN
ispiv-149	91	3	measurements	measurement	NOUN
ispiv-149	91	4	,	,	PUNCT
ispiv-149	91	5	the	the	DET
ispiv-149	91	6	three	three	NUM
ispiv-149	91	7	-	-	PUNCT
ispiv-149	91	8	point	point	NOUN
ispiv-149	91	9	centered	center	VERB
ispiv-149	91	10	derivation	derivation	NOUN
ispiv-149	91	11	schemes	scheme	NOUN
ispiv-149	91	12	leads	lead	VERB
ispiv-149	91	13	to	to	ADP
ispiv-149	91	14	the	the	DET
ispiv-149	91	15	same	same	ADJ
ispiv-149	91	16	stencil	stencil	NOUN
ispiv-149	91	17	for	for	ADP
ispiv-149	91	18	the	the	DET
ispiv-149	91	19	first	first	ADJ
ispiv-149	91	20	derivative	derivative	NOUN
ispiv-149	91	21	,	,	PUNCT
ispiv-149	91	22	although	although	SCONJ
ispiv-149	91	23	it	it	PRON
ispiv-149	91	24	is	be	AUX
ispiv-149	91	25	based	base	VERB
ispiv-149	91	26	on	on	ADP
ispiv-149	91	27	a	a	DET
ispiv-149	91	28	second	second	ADJ
ispiv-149	91	29	order	order	NOUN
ispiv-149	91	30	development	development	NOUN
ispiv-149	91	31	.	.	PUNCT
ispiv-149	92	1	acknowledging	acknowledge	VERB
ispiv-149	92	2	the	the	DET
ispiv-149	92	3	fact	fact	NOUN
ispiv-149	92	4	that	that	SCONJ
ispiv-149	92	5	estimates	estimate	NOUN
ispiv-149	92	6	are	be	AUX
ispiv-149	92	7	generally	generally	ADV
ispiv-149	92	8	conducted	conduct	VERB
ispiv-149	92	9	on	on	ADP
ispiv-149	92	10	larger	large	ADJ
ispiv-149	92	11	,	,	PUNCT
ispiv-149	92	12	centered	center	VERB
ispiv-149	92	13	,	,	PUNCT
ispiv-149	92	14	regular	regular	ADJ
ispiv-149	92	15	sets	set	NOUN
ispiv-149	92	16	of	of	ADP
ispiv-149	92	17	instants	instant	NOUN
ispiv-149	92	18	in	in	ADP
ispiv-149	92	19	mp	mp	PROPN
ispiv-149	92	20	measurements	measurement	NOUN
ispiv-149	92	21	,	,	PUNCT
ispiv-149	92	22	the	the	DET
ispiv-149	92	23	three	three	NUM
ispiv-149	92	24	-	-	PUNCT
ispiv-149	92	25	point	point	NOUN
ispiv-149	92	26	case	case	NOUN
ispiv-149	92	27	is	be	AUX
ispiv-149	92	28	sufficient	sufficient	ADJ
ispiv-149	92	29	to	to	PART
ispiv-149	92	30	identify	identify	VERB
ispiv-149	92	31	which	which	DET
ispiv-149	92	32	terms	term	NOUN
ispiv-149	92	33	are	be	AUX
ispiv-149	92	34	to	to	PART
ispiv-149	92	35	be	be	AUX
ispiv-149	92	36	taken	take	VERB
ispiv-149	92	37	into	into	ADP
ispiv-149	92	38	account	account	NOUN
ispiv-149	92	39	for	for	ADP
ispiv-149	92	40	uncertainty	uncertainty	NOUN
ispiv-149	92	41	and	and	CCONJ
ispiv-149	92	42	error	error	NOUN
ispiv-149	92	43	estimates	estimate	NOUN
ispiv-149	92	44	.	.	PUNCT
ispiv-149	93	1	a	a	DET
ispiv-149	93	2	dedicated	dedicated	ADJ
ispiv-149	93	3	example	example	NOUN
ispiv-149	93	4	is	be	AUX
ispiv-149	93	5	also	also	ADV
ispiv-149	93	6	given	give	VERB
ispiv-149	93	7	for	for	ADP
ispiv-149	93	8	the	the	DET
ispiv-149	93	9	specific	specific	ADJ
ispiv-149	93	10	case	case	NOUN
ispiv-149	93	11	of	of	ADP
ispiv-149	93	12	fp	fp	NOUN
ispiv-149	93	13	measurements	measurement	NOUN
ispiv-149	93	14	,	,	PUNCT
ispiv-149	93	15	using	use	VERB
ispiv-149	93	16	a	a	DET
ispiv-149	93	17	generic	generic	ADJ
ispiv-149	93	18	centered	center	VERB
ispiv-149	93	19	distribution	distribution	NOUN
ispiv-149	93	20	of	of	ADP
ispiv-149	93	21	instants	instant	NOUN
ispiv-149	93	22	,	,	PUNCT
ispiv-149	93	23	and	and	CCONJ
ispiv-149	93	24	which	which	PRON
ispiv-149	93	25	illustrates	illustrate	VERB
ispiv-149	93	26	the	the	DET
ispiv-149	93	27	slight	slight	ADJ
ispiv-149	93	28	differences	difference	NOUN
ispiv-149	93	29	between	between	ADP
ispiv-149	93	30	exact	exact	ADJ
ispiv-149	93	31	and	and	CCONJ
ispiv-149	93	32	approximate	approximate	ADJ
ispiv-149	93	33	fits	fit	NOUN
ispiv-149	93	34	of	of	ADP
ispiv-149	93	35	close	close	ADJ
ispiv-149	93	36	orders	order	NOUN
ispiv-149	93	37	.	.	PUNCT
ispiv-149	94	1	3.3.1	3.3.1	NUM
ispiv-149	94	2	exact	exact	NOUN
ispiv-149	94	3	fit	fit	ADJ
ispiv-149	94	4	two	two	NUM
ispiv-149	94	5	-	-	PUNCT
ispiv-149	94	6	point	point	NOUN
ispiv-149	94	7	centered	center	VERB
ispiv-149	94	8	scheme	scheme	NOUN
ispiv-149	94	9	(	(	PUNCT
ispiv-149	94	10	tp	tp	NOUN
ispiv-149	94	11	):	):	PUNCT
ispiv-149	94	12	for	for	ADP
ispiv-149	94	13	the	the	DET
ispiv-149	94	14	two	two	NUM
ispiv-149	94	15	-	-	PUNCT
ispiv-149	94	16	point	point	NOUN
ispiv-149	94	17	centered	center	VERB
ispiv-149	94	18	scheme	scheme	NOUN
ispiv-149	94	19	built	build	VERB
ispiv-149	94	20	from	from	ADP
ispiv-149	94	21	instants	instant	NOUN
ispiv-149	94	22	t−dt	t−dt	NUM
ispiv-149	94	23	and	and	CCONJ
ispiv-149	94	24	t+dt	t+dt	NOUN
ispiv-149	94	25	,	,	PUNCT
ispiv-149	94	26	the	the	DET
ispiv-149	94	27	differentiation	differentiation	NOUN
ispiv-149	94	28	scheme	scheme	NOUN
ispiv-149	94	29	is	be	AUX
ispiv-149	94	30	simply	simply	ADV
ispiv-149	94	31	obtained	obtain	VERB
ispiv-149	94	32	from	from	ADP
ispiv-149	94	33	the	the	DET
ispiv-149	94	34	taylor	taylor	PROPN
ispiv-149	94	35	terms	term	NOUN
ispiv-149	94	36	at	at	ADP
ispiv-149	94	37	order	order	NOUN
ispiv-149	94	38	1	1	NUM
ispiv-149	94	39	:	:	PUNCT
ispiv-149	94	40	g2=[1	g2=[1	NOUN
ispiv-149	94	41	−1	−1	NOUN
ispiv-149	94	42	1	1	NUM
ispiv-149	94	43	1	1	NUM
ispiv-149	94	44	]	]	PUNCT
ispiv-149	94	45	[	[	PUNCT
ispiv-149	94	46	γ(t	γ(t	NOUN
ispiv-149	94	47	)	)	PUNCT
ispiv-149	95	1	γ̇	γ̇	PROPN
ispiv-149	95	2	(	(	PUNCT
ispiv-149	95	3	t)dt	t)dt	PROPN
ispiv-149	95	4	]	]	X
ispiv-149	95	5	+	+	NOUN
ispiv-149	95	6	o(dt	o(dt	NOUN
ispiv-149	95	7	)	)	PUNCT
ispiv-149	95	8	;	;	PUNCT
ispiv-149	95	9	v	v	ADP
ispiv-149	95	10	2=[1	2=[1	NUM
ispiv-149	95	11	−1	−1	NOUN
ispiv-149	95	12	1	1	NUM
ispiv-149	95	13	1	1	NUM
ispiv-149	95	14	]	]	PUNCT
ispiv-149	95	15	;	;	PUNCT
ispiv-149	95	16	w	w	NOUN
ispiv-149	95	17	2=	2=	NUM
ispiv-149	95	18	[	[	PUNCT
ispiv-149	95	19	1/2	1/2	NUM
ispiv-149	95	20	1/2	1/2	NUM
ispiv-149	95	21	−1/2	−1/2	ADJ
ispiv-149	95	22	1/2	1/2	NUM
ispiv-149	95	23	]	]	PUNCT
ispiv-149	95	24	.	.	PUNCT
ispiv-149	96	1	for	for	ADP
ispiv-149	96	2	this	this	DET
ispiv-149	96	3	particular	particular	ADJ
ispiv-149	96	4	case	case	NOUN
ispiv-149	96	5	,	,	PUNCT
ispiv-149	96	6	and	and	CCONJ
ispiv-149	96	7	more	more	ADV
ispiv-149	96	8	generally	generally	ADV
ispiv-149	96	9	for	for	ADP
ispiv-149	96	10	centered	center	VERB
ispiv-149	96	11	distributions	distribution	NOUN
ispiv-149	96	12	of	of	ADP
ispiv-149	96	13	an	an	DET
ispiv-149	96	14	even	even	ADJ
ispiv-149	96	15	numbers	number	NOUN
ispiv-149	96	16	of	of	ADP
ispiv-149	96	17	instants	instant	NOUN
ispiv-149	96	18	,	,	PUNCT
ispiv-149	96	19	halving	halve	VERB
ispiv-149	96	20	dt	dt	PUNCT
ispiv-149	96	21	lightens	lighten	VERB
ispiv-149	96	22	the	the	DET
ispiv-149	96	23	writing	writing	NOUN
ispiv-149	96	24	of	of	ADP
ispiv-149	96	25	the	the	DET
ispiv-149	96	26	time	time	NOUN
ispiv-149	96	27	lags	lag	VERB
ispiv-149	96	28	surrounding	surround	VERB
ispiv-149	96	29	the	the	DET
ispiv-149	96	30	instant	instant	NOUN
ispiv-149	96	31	of	of	ADP
ispiv-149	96	32	interest	interest	NOUN
ispiv-149	96	33	(	(	PUNCT
ispiv-149	96	34	see	see	VERB
ispiv-149	96	35	figure	figure	NOUN
ispiv-149	96	36	2	2	NUM
ispiv-149	96	37	)	)	PUNCT
ispiv-149	96	38	.	.	PUNCT
ispiv-149	97	1	the	the	DET
ispiv-149	97	2	central	central	ADJ
ispiv-149	97	3	position	position	NOUN
ispiv-149	97	4	and	and	CCONJ
ispiv-149	97	5	first	first	ADJ
ispiv-149	97	6	derivative	derivative	NOUN
ispiv-149	97	7	are	be	AUX
ispiv-149	97	8	estimated	estimate	VERB
ispiv-149	97	9	using	use	VERB
ispiv-149	97	10	[	[	X
ispiv-149	97	11	~γ(t	~γ(t	NOUN
ispiv-149	97	12	)	)	PUNCT
ispiv-149	97	13	~	~	PUNCT
ispiv-149	97	14	γ̇(t)]⊤=f2w	γ̇(t)]⊤=f2w	NOUN
ispiv-149	97	15	2	2	NUM
ispiv-149	97	16	x2	x2	NOUN
ispiv-149	97	17	,	,	PUNCT
ispiv-149	97	18	and	and	CCONJ
ispiv-149	97	19	the	the	DET
ispiv-149	97	20	propagation	propagation	NOUN
ispiv-149	97	21	of	of	ADP
ispiv-149	97	22	measurement	measurement	NOUN
ispiv-149	97	23	errors	error	NOUN
ispiv-149	97	24	is	be	AUX
ispiv-149	97	25	given	give	VERB
ispiv-149	97	26	by	by	ADP
ispiv-149	97	27	u2	u2	PROPN
ispiv-149	97	28	=	=	PROPN
ispiv-149	97	29	f2w	f2w	PROPN
ispiv-149	97	30	2e2	2e2	NUM
ispiv-149	97	31	:	:	PUNCT
ispiv-149	97	32	u2=[1	u2=[1	NUM
ispiv-149	97	33	0	0	NUM
ispiv-149	97	34	0	0	NUM
ispiv-149	97	35	1	1	NUM
ispiv-149	97	36	/	/	SYM
ispiv-149	97	37	dt	dt	NOUN
ispiv-149	97	38	]	]	X
ispiv-149	97	39	[	[	PUNCT
ispiv-149	97	40	1/2	1/2	NUM
ispiv-149	97	41	1	1	NUM
ispiv-149	97	42	/2	/2	SYM
ispiv-149	97	43	−1/2	−1/2	VERB
ispiv-149	97	44	1	1	NUM
ispiv-149	97	45	/2]e2=	/2]e2=	SYM
ispiv-149	97	46	[	[	PUNCT
ispiv-149	97	47	1/2	1/2	NUM
ispiv-149	97	48	1/2	1/2	NUM
ispiv-149	97	49	−1/2dt	−1/2dt	NUM
ispiv-149	97	50	1/2dt	1/2dt	NUM
ispiv-149	97	51	]	]	PUNCT
ispiv-149	97	52	e2	e2	PROPN
ispiv-149	97	53	.	.	PUNCT
ispiv-149	98	1	14th	14th	ADJ
ispiv-149	98	2	international	international	ADJ
ispiv-149	98	3	symposium	symposium	NOUN
ispiv-149	98	4	on	on	ADP
ispiv-149	98	5	particle	particle	NOUN
ispiv-149	98	6	image	image	NOUN
ispiv-149	98	7	velocimetry	velocimetry	NOUN
ispiv-149	98	8	–	–	PUNCT
ispiv-149	98	9	ispiv	ispiv	NOUN
ispiv-149	98	10	2021	2021	NUM
ispiv-149	98	11	august	august	PROPN
ispiv-149	98	12	1	1	NUM
ispiv-149	98	13	-	-	SYM
ispiv-149	98	14	5	5	NUM
ispiv-149	98	15	,	,	PUNCT
ispiv-149	98	16	2021	2021	NUM
ispiv-149	98	17	for	for	ADP
ispiv-149	98	18	uniform	uniform	ADJ
ispiv-149	98	19	error	error	NOUN
ispiv-149	98	20	levels	level	NOUN
ispiv-149	98	21	,	,	PUNCT
ispiv-149	98	22	this	this	DET
ispiv-149	98	23	yields	yield	NOUN
ispiv-149	98	24	error	error	NOUN
ispiv-149	98	25	propagation	propagation	NOUN
ispiv-149	98	26	terms	term	NOUN
ispiv-149	98	27	of	of	ADP
ispiv-149	98	28	respective	respective	ADJ
ispiv-149	98	29	norms	norm	NOUN
ispiv-149	98	30	[	[	X
ispiv-149	98	31	1	1	NUM
ispiv-149	98	32	1	1	NUM
ispiv-149	98	33	/	/	SYM
ispiv-149	98	34	dt	dt	NOUN
ispiv-149	98	35	]	]	X
ispiv-149	98	36	⊤	⊤	PROPN
ispiv-149	98	37	/√2	/√2	PUNCT
ispiv-149	98	38	.	.	PUNCT
ispiv-149	99	1	the	the	DET
ispiv-149	99	2	truncation	truncation	NOUN
ispiv-149	99	3	error	error	NOUN
ispiv-149	99	4	on	on	ADP
ispiv-149	99	5	both	both	DET
ispiv-149	99	6	terms	term	NOUN
ispiv-149	99	7	is	be	AUX
ispiv-149	99	8	obtained	obtain	VERB
ispiv-149	99	9	by	by	ADP
ispiv-149	99	10	right	right	ADV
ispiv-149	99	11	-	-	PUNCT
ispiv-149	99	12	extending	extend	VERB
ispiv-149	99	13	the	the	DET
ispiv-149	99	14	2×2	2×2	NUM
ispiv-149	99	15	vandermonde	vandermonde	NOUN
ispiv-149	99	16	matrix	matrix	NOUN
ispiv-149	99	17	to	to	ADP
ispiv-149	99	18	the	the	DET
ispiv-149	99	19	2×4	2×4	NUM
ispiv-149	99	20	matrix	matrix	NOUN
ispiv-149	99	21	v	v	ADP
ispiv-149	99	22	23	23	NUM
ispiv-149	99	23	and	and	CCONJ
ispiv-149	99	24	multiplying	multiply	VERB
ispiv-149	99	25	it	it	PRON
ispiv-149	99	26	by	by	ADP
ispiv-149	99	27	the	the	DET
ispiv-149	99	28	finite	finite	ADJ
ispiv-149	99	29	difference	difference	NOUN
ispiv-149	99	30	scheme	scheme	NOUN
ispiv-149	99	31	:	:	PUNCT
ispiv-149	99	32	w	w	PROPN
ispiv-149	99	33	2v	2v	PROPN
ispiv-149	99	34	23=	23=	SYM
ispiv-149	99	35	[	[	PUNCT
ispiv-149	99	36	1/2	1/2	NUM
ispiv-149	99	37	1	1	NUM
ispiv-149	99	38	/2	/2	NOUN
ispiv-149	99	39	−1/2	−1/2	VERB
ispiv-149	99	40	1	1	NUM
ispiv-149	99	41	/2	/2	NUM
ispiv-149	99	42	]	]	PUNCT
ispiv-149	100	1	[	[	PUNCT
ispiv-149	100	2	1	1	NUM
ispiv-149	100	3	−1	−1	NOUN
ispiv-149	100	4	1	1	NUM
ispiv-149	100	5	−1	−1	NOUN
ispiv-149	100	6	1	1	NUM
ispiv-149	100	7	1	1	NUM
ispiv-149	100	8	1	1	NUM
ispiv-149	100	9	1	1	NUM
ispiv-149	100	10	]	]	PUNCT
ispiv-149	100	11	=[	=[	NOUN
ispiv-149	100	12	1	1	NUM
ispiv-149	100	13	0	0	NUM
ispiv-149	100	14	1	1	NUM
ispiv-149	100	15	0	0	NUM
ispiv-149	100	16	0	0	NUM
ispiv-149	100	17	1	1	NUM
ispiv-149	100	18	0	0	NUM
ispiv-149	100	19	1	1	NUM
ispiv-149	100	20	]	]	PUNCT
ispiv-149	100	21	,	,	PUNCT
ispiv-149	100	22	meaning	mean	VERB
ispiv-149	100	23	that	that	SCONJ
ispiv-149	100	24	the	the	DET
ispiv-149	100	25	central	central	ADJ
ispiv-149	100	26	position	position	NOUN
ispiv-149	100	27	is	be	AUX
ispiv-149	100	28	obtained	obtain	VERB
ispiv-149	100	29	with	with	ADP
ispiv-149	100	30	a	a	DET
ispiv-149	100	31	2nd	2nd	ADJ
ispiv-149	100	32	order	order	NOUN
ispiv-149	100	33	truncation	truncation	NOUN
ispiv-149	100	34	error	error	NOUN
ispiv-149	100	35	and	and	CCONJ
ispiv-149	100	36	the	the	DET
ispiv-149	100	37	first	first	ADJ
ispiv-149	100	38	derivative	derivative	NOUN
ispiv-149	100	39	with	with	ADP
ispiv-149	100	40	a	a	DET
ispiv-149	100	41	3rd	3rd	ADJ
ispiv-149	100	42	order	order	NOUN
ispiv-149	100	43	truncation	truncation	NOUN
ispiv-149	100	44	error	error	NOUN
ispiv-149	100	45	.	.	PUNCT
ispiv-149	101	1	applied	apply	VERB
ispiv-149	101	2	to	to	ADP
ispiv-149	101	3	the	the	DET
ispiv-149	101	4	differentiation	differentiation	NOUN
ispiv-149	101	5	terms	term	NOUN
ispiv-149	101	6	up	up	ADP
ispiv-149	101	7	to	to	ADP
ispiv-149	101	8	the	the	DET
ispiv-149	101	9	3	3	NUM
ispiv-149	101	10	rd	rd	NOUN
ispiv-149	101	11	order	order	NOUN
ispiv-149	101	12	,	,	PUNCT
ispiv-149	101	13	this	this	PRON
ispiv-149	101	14	explicitly	explicitly	ADV
ispiv-149	101	15	yields	yield	VERB
ispiv-149	101	16	:	:	PUNCT
ispiv-149	101	17	f2w	f2w	PROPN
ispiv-149	101	18	2v	2v	PROPN
ispiv-149	101	19	23d3=[γ(t	23d3=[γ(t	NUM
ispiv-149	101	20	)	)	PUNCT
ispiv-149	102	1	+	+	NUM
ispiv-149	102	2	γ̈	γ̈	NOUN
ispiv-149	102	3	(	(	PUNCT
ispiv-149	102	4	t)dt	t)dt	PROPN
ispiv-149	102	5	2	2	NUM
ispiv-149	102	6	/2	/2	X
ispiv-149	102	7	γ̇(t	γ̇(t	PROPN
ispiv-149	102	8	)	)	PUNCT
ispiv-149	103	1	+	+	CCONJ
ispiv-149	103	2	γ	γ	X
ispiv-149	103	3	(	(	PUNCT
ispiv-149	103	4	3	3	NUM
ispiv-149	103	5	)	)	PUNCT
ispiv-149	103	6	(	(	PUNCT
ispiv-149	103	7	t)dt2/6]+o(dt2	t)dt2/6]+o(dt2	ADJ
ispiv-149	103	8	)	)	PUNCT
ispiv-149	103	9	.	.	PUNCT
ispiv-149	104	1	three	three	NUM
ispiv-149	104	2	-	-	PUNCT
ispiv-149	104	3	point	point	NOUN
ispiv-149	104	4	centered	center	VERB
ispiv-149	104	5	scheme	scheme	NOUN
ispiv-149	104	6	(	(	PUNCT
ispiv-149	104	7	mp	mp	NOUN
ispiv-149	104	8	):	):	PUNCT
ispiv-149	104	9	for	for	ADP
ispiv-149	104	10	the	the	DET
ispiv-149	104	11	three	three	NUM
ispiv-149	104	12	-	-	PUNCT
ispiv-149	104	13	point	point	NOUN
ispiv-149	104	14	centered	center	VERB
ispiv-149	104	15	scheme	scheme	NOUN
ispiv-149	104	16	built	build	VERB
ispiv-149	104	17	from	from	ADP
ispiv-149	104	18	instants	instant	NOUN
ispiv-149	104	19	t	t	PROPN
ispiv-149	104	20	,	,	PUNCT
ispiv-149	104	21	t−dt	t−dt	NUM
ispiv-149	104	22	and	and	CCONJ
ispiv-149	104	23	t+dt	t+dt	NOUN
ispiv-149	104	24	:	:	PUNCT
ispiv-149	105	1	g3=	g3=	NOUN
ispiv-149	105	2	[	[	PUNCT
ispiv-149	105	3	1	1	NUM
ispiv-149	105	4	−1	−1	NOUN
ispiv-149	105	5	1	1	NUM
ispiv-149	105	6	1	1	NUM
ispiv-149	105	7	0	0	NUM
ispiv-149	105	8	0	0	NUM
ispiv-149	105	9	1	1	NUM
ispiv-149	105	10	1	1	NUM
ispiv-149	105	11	1	1	NUM
ispiv-149	105	12	]	]	PUNCT
ispiv-149	105	13	[	[	PUNCT
ispiv-149	105	14	γ(t	γ(t	NOUN
ispiv-149	105	15	)	)	PUNCT
ispiv-149	105	16	γ̇(t	γ̇(t	PROPN
ispiv-149	105	17	)	)	PUNCT
ispiv-149	105	18	dt	dt	PROPN
ispiv-149	105	19	γ̈(t	γ̈(t	PROPN
ispiv-149	105	20	)	)	PUNCT
ispiv-149	105	21	dt	dt	PROPN
ispiv-149	105	22	2	2	NUM
ispiv-149	105	23	/2]+o	/2]+o	NOUN
ispiv-149	105	24	(	(	PUNCT
ispiv-149	105	25	dt	dt	PROPN
ispiv-149	105	26	)	)	PUNCT
ispiv-149	105	27	;	;	PUNCT
ispiv-149	105	28	v	v	ADP
ispiv-149	105	29	2=	2=	NUM
ispiv-149	105	30	[	[	PUNCT
ispiv-149	105	31	1	1	NUM
ispiv-149	105	32	−1	−1	NOUN
ispiv-149	105	33	1	1	NUM
ispiv-149	105	34	1	1	NUM
ispiv-149	105	35	0	0	NUM
ispiv-149	105	36	0	0	NUM
ispiv-149	105	37	1	1	NUM
ispiv-149	105	38	1	1	NUM
ispiv-149	105	39	1	1	NUM
ispiv-149	105	40	]	]	PUNCT
ispiv-149	105	41	;	;	PUNCT
ispiv-149	105	42	w	w	PROPN
ispiv-149	105	43	3=	3=	NUM
ispiv-149	105	44	[	[	PUNCT
ispiv-149	105	45	0	0	NUM
ispiv-149	105	46	1	1	NUM
ispiv-149	105	47	0	0	NUM
ispiv-149	105	48	−1/2	−1/2	ADJ
ispiv-149	105	49	0	0	NUM
ispiv-149	105	50	1	1	NUM
ispiv-149	105	51	/2	/2	NUM
ispiv-149	105	52	1/2	1/2	NUM
ispiv-149	105	53	−1	−1	NOUN
ispiv-149	105	54	1	1	NUM
ispiv-149	105	55	/2	/2	NUM
ispiv-149	105	56	]	]	PUNCT
ispiv-149	105	57	.	.	PUNCT
ispiv-149	106	1	the	the	DET
ispiv-149	106	2	propagation	propagation	NOUN
ispiv-149	106	3	of	of	ADP
ispiv-149	106	4	measurement	measurement	NOUN
ispiv-149	106	5	errors	error	NOUN
ispiv-149	106	6	is	be	AUX
ispiv-149	106	7	given	give	VERB
ispiv-149	106	8	by	by	ADP
ispiv-149	106	9	u3	u3	NOUN
ispiv-149	106	10	=	=	NOUN
ispiv-149	106	11	f3w	f3w	ADJ
ispiv-149	106	12	3e3	3e3	NUM
ispiv-149	106	13	:	:	PUNCT
ispiv-149	107	1	u3=	u3=	PROPN
ispiv-149	107	2	[	[	PUNCT
ispiv-149	107	3	0	0	NUM
ispiv-149	107	4	1	1	NUM
ispiv-149	107	5	0	0	NUM
ispiv-149	107	6	−1/2dt	−1/2dt	NUM
ispiv-149	107	7	0	0	NUM
ispiv-149	107	8	1	1	NUM
ispiv-149	107	9	/2dt	/2dt	SYM
ispiv-149	107	10	1	1	NUM
ispiv-149	107	11	/	/	SYM
ispiv-149	107	12	dt	dt	NOUN
ispiv-149	107	13	2	2	NUM
ispiv-149	107	14	−2	−2	NOUN
ispiv-149	107	15	/	/	SYM
ispiv-149	107	16	dt2	dt2	PROPN
ispiv-149	107	17	1	1	NUM
ispiv-149	107	18	/	/	SYM
ispiv-149	107	19	dt	dt	NOUN
ispiv-149	107	20	2	2	NUM
ispiv-149	107	21	]	]	SYM
ispiv-149	107	22	e3	e3	NOUN
ispiv-149	107	23	,	,	PUNCT
ispiv-149	107	24	of	of	ADP
ispiv-149	107	25	norms	norm	NOUN
ispiv-149	107	26	[	[	X
ispiv-149	107	27	1	1	NUM
ispiv-149	107	28	√2	√2	NOUN
ispiv-149	107	29	2dt	2dt	ADJ
ispiv-149	107	30	√6	√6	PROPN
ispiv-149	107	31	dt2	dt2	PROPN
ispiv-149	107	32	]	]	PUNCT
ispiv-149	107	33	⊤	⊤	PROPN
ispiv-149	107	34	for	for	ADP
ispiv-149	107	35	uniform	uniform	ADJ
ispiv-149	107	36	noise	noise	NOUN
ispiv-149	107	37	levels	level	NOUN
ispiv-149	107	38	.	.	PUNCT
ispiv-149	108	1	the	the	DET
ispiv-149	108	2	truncation	truncation	NOUN
ispiv-149	108	3	error	error	NOUN
ispiv-149	108	4	at	at	ADP
ispiv-149	108	5	order	order	NOUN
ispiv-149	108	6	4	4	NUM
ispiv-149	108	7	is	be	AUX
ispiv-149	108	8	obtained	obtain	VERB
ispiv-149	108	9	from	from	ADP
ispiv-149	108	10	:	:	PUNCT
ispiv-149	108	11	w	w	PROPN
ispiv-149	108	12	3v	3v	NUM
ispiv-149	108	13	34=	34=	NUM
ispiv-149	108	14	[	[	PUNCT
ispiv-149	108	15	1	1	NUM
ispiv-149	108	16	0	0	NUM
ispiv-149	108	17	0	0	NUM
ispiv-149	108	18	0	0	NUM
ispiv-149	108	19	0	0	NUM
ispiv-149	108	20	0	0	NUM
ispiv-149	108	21	1	1	NUM
ispiv-149	108	22	0	0	NUM
ispiv-149	108	23	1	1	NUM
ispiv-149	108	24	0	0	NUM
ispiv-149	108	25	0	0	NUM
ispiv-149	108	26	0	0	NUM
ispiv-149	108	27	1	1	NUM
ispiv-149	108	28	0	0	NUM
ispiv-149	108	29	1	1	NUM
ispiv-149	108	30	]	]	PUNCT
ispiv-149	108	31	.	.	PUNCT
ispiv-149	109	1	the	the	DET
ispiv-149	109	2	central	central	ADJ
ispiv-149	109	3	position	position	NOUN
ispiv-149	109	4	is	be	AUX
ispiv-149	109	5	obtained	obtain	VERB
ispiv-149	109	6	with	with	ADP
ispiv-149	109	7	no	no	DET
ispiv-149	109	8	truncation	truncation	NOUN
ispiv-149	109	9	error	error	NOUN
ispiv-149	109	10	,	,	PUNCT
ispiv-149	109	11	as	as	SCONJ
ispiv-149	109	12	it	it	PRON
ispiv-149	109	13	is	be	AUX
ispiv-149	109	14	measured	measure	VERB
ispiv-149	109	15	prior	prior	ADV
ispiv-149	109	16	to	to	ADP
ispiv-149	109	17	building	build	VERB
ispiv-149	109	18	the	the	DET
ispiv-149	109	19	differentiation	differentiation	NOUN
ispiv-149	109	20	scheme	scheme	NOUN
ispiv-149	109	21	.	.	PUNCT
ispiv-149	110	1	this	this	DET
ispiv-149	110	2	property	property	NOUN
ispiv-149	110	3	also	also	ADV
ispiv-149	110	4	distinguishes	distinguish	VERB
ispiv-149	110	5	centered	center	VERB
ispiv-149	110	6	schemes	scheme	NOUN
ispiv-149	110	7	based	base	VERB
ispiv-149	110	8	on	on	ADP
ispiv-149	110	9	odd	odd	ADJ
ispiv-149	110	10	or	or	CCONJ
ispiv-149	110	11	even	even	ADV
ispiv-149	110	12	numbers	number	NOUN
ispiv-149	110	13	of	of	ADP
ispiv-149	110	14	instants	instant	NOUN
ispiv-149	110	15	.	.	PUNCT
ispiv-149	111	1	the	the	DET
ispiv-149	111	2	first	first	ADJ
ispiv-149	111	3	derivative	derivative	NOUN
ispiv-149	111	4	is	be	AUX
ispiv-149	111	5	obtained	obtain	VERB
ispiv-149	111	6	with	with	ADP
ispiv-149	111	7	a	a	DET
ispiv-149	111	8	3	3	NUM
ispiv-149	111	9	rd	rd	NOUN
ispiv-149	111	10	order	order	NOUN
ispiv-149	111	11	truncation	truncation	NOUN
ispiv-149	111	12	error	error	NOUN
ispiv-149	111	13	,	,	PUNCT
ispiv-149	111	14	and	and	CCONJ
ispiv-149	111	15	the	the	DET
ispiv-149	111	16	second	second	ADJ
ispiv-149	111	17	derivative	derivative	NOUN
ispiv-149	111	18	with	with	ADP
ispiv-149	111	19	a	a	DET
ispiv-149	111	20	4th	4th	ADJ
ispiv-149	111	21	order	order	NOUN
ispiv-149	111	22	truncation	truncation	NOUN
ispiv-149	111	23	error	error	NOUN
ispiv-149	111	24	.	.	PUNCT
ispiv-149	112	1	one	one	PRON
ispiv-149	112	2	gets	get	VERB
ispiv-149	112	3	:	:	PUNCT
ispiv-149	112	4	14th	14th	ADJ
ispiv-149	112	5	international	international	ADJ
ispiv-149	112	6	symposium	symposium	NOUN
ispiv-149	112	7	on	on	ADP
ispiv-149	112	8	particle	particle	NOUN
ispiv-149	112	9	image	image	NOUN
ispiv-149	112	10	velocimetry	velocimetry	NOUN
ispiv-149	112	11	–	–	PUNCT
ispiv-149	112	12	ispiv	ispiv	NOUN
ispiv-149	112	13	2021	2021	NUM
ispiv-149	112	14	august	august	PROPN
ispiv-149	112	15	1	1	NUM
ispiv-149	112	16	-	-	SYM
ispiv-149	112	17	5	5	NUM
ispiv-149	112	18	,	,	PUNCT
ispiv-149	112	19	2021	2021	NUM
ispiv-149	112	20	f3w	f3w	PROPN
ispiv-149	112	21	3v	3v	NUM
ispiv-149	112	22	34d3=	34d3=	NUM
ispiv-149	112	23	[	[	PUNCT
ispiv-149	112	24	γ(t	γ(t	NOUN
ispiv-149	112	25	)	)	PUNCT
ispiv-149	113	1	γ̇	γ̇	PROPN
ispiv-149	114	1	(	(	PUNCT
ispiv-149	114	2	t	t	PROPN
ispiv-149	114	3	)	)	PUNCT
ispiv-149	115	1	+	+	CCONJ
ispiv-149	115	2	γ	γ	X
ispiv-149	115	3	(	(	PUNCT
ispiv-149	115	4	3	3	NUM
ispiv-149	115	5	)	)	PUNCT
ispiv-149	115	6	(	(	PUNCT
ispiv-149	115	7	t)dt2/6	t)dt2/6	NOUN
ispiv-149	115	8	+	+	CCONJ
ispiv-149	115	9	o(dt3	o(dt3	NOUN
ispiv-149	115	10	)	)	PUNCT
ispiv-149	115	11	γ̈	γ̈	VERB
ispiv-149	115	12	(	(	PUNCT
ispiv-149	115	13	t	t	NOUN
ispiv-149	115	14	)	)	PUNCT
ispiv-149	115	15	+	+	CCONJ
ispiv-149	115	16	γ	γ	X
ispiv-149	115	17	(	(	PUNCT
ispiv-149	115	18	4	4	NUM
ispiv-149	115	19	)	)	PUNCT
ispiv-149	115	20	(	(	PUNCT
ispiv-149	115	21	t	t	NOUN
ispiv-149	115	22	)	)	PUNCT
ispiv-149	115	23	dt	dt	PROPN
ispiv-149	115	24	2	2	NUM
ispiv-149	115	25	/12	/12	PUNCT
ispiv-149	115	26	+	+	PROPN
ispiv-149	115	27	o(dt2	o(dt2	NOUN
ispiv-149	115	28	)	)	PUNCT
ispiv-149	115	29	]	]	PUNCT
ispiv-149	115	30	.	.	PUNCT
ispiv-149	116	1	it	it	PRON
ispiv-149	116	2	can	can	AUX
ispiv-149	116	3	be	be	AUX
ispiv-149	116	4	noticed	notice	VERB
ispiv-149	116	5	that	that	SCONJ
ispiv-149	116	6	the	the	DET
ispiv-149	116	7	value	value	NOUN
ispiv-149	116	8	of	of	ADP
ispiv-149	116	9	dt	dt	PROPN
ispiv-149	116	10	is	be	AUX
ispiv-149	116	11	doubled	double	VERB
ispiv-149	116	12	compared	compare	VERB
ispiv-149	116	13	to	to	ADP
ispiv-149	116	14	the	the	DET
ispiv-149	116	15	two	two	NUM
ispiv-149	116	16	-	-	PUNCT
ispiv-149	116	17	point	point	NOUN
ispiv-149	116	18	scheme	scheme	NOUN
ispiv-149	116	19	obtained	obtain	VERB
ispiv-149	116	20	with	with	ADP
ispiv-149	116	21	the	the	DET
ispiv-149	116	22	same	same	ADJ
ispiv-149	116	23	sampling	sampling	NOUN
ispiv-149	116	24	,	,	PUNCT
ispiv-149	116	25	multiplying	multiply	VERB
ispiv-149	116	26	the	the	DET
ispiv-149	116	27	error	error	NOUN
ispiv-149	116	28	levels	level	NOUN
ispiv-149	116	29	and	and	CCONJ
ispiv-149	116	30	truncation	truncation	NOUN
ispiv-149	116	31	errors	error	NOUN
ispiv-149	116	32	by	by	ADP
ispiv-149	116	33	factors	factor	NOUN
ispiv-149	116	34	2±1	2±1	NUM
ispiv-149	116	35	…	…	SYM
ispiv-149	116	36	2	2	NUM
ispiv-149	116	37	.	.	PUNCT
ispiv-149	117	1	generic	generic	ADJ
ispiv-149	117	2	four	four	NUM
ispiv-149	117	3	-	-	PUNCT
ispiv-149	117	4	point	point	NOUN
ispiv-149	117	5	centered	center	VERB
ispiv-149	117	6	scheme	scheme	NOUN
ispiv-149	117	7	(	(	PUNCT
ispiv-149	117	8	fp	fp	NOUN
ispiv-149	117	9	):	):	PUNCT
ispiv-149	117	10	for	for	ADP
ispiv-149	117	11	centered	center	VERB
ispiv-149	117	12	fp	fp	NOUN
ispiv-149	117	13	measurements	measurement	NOUN
ispiv-149	117	14	,	,	PUNCT
ispiv-149	117	15	time	time	NOUN
ispiv-149	117	16	lags	lag	NOUN
ispiv-149	117	17	are	be	AUX
ispiv-149	117	18	symmetrically	symmetrically	ADV
ispiv-149	117	19	defined	define	VERB
ispiv-149	117	20	as	as	ADP
ispiv-149	117	21	(	(	PUNCT
ispiv-149	117	22	τk	τk	ADP
ispiv-149	117	23	/dt)k=1	/dt)k=1	PROPN
ispiv-149	117	24	…	…	PROPN
ispiv-149	117	25	4={−a	4={−a	NUM
ispiv-149	117	26	;	;	PUNCT
ispiv-149	117	27	−b	−b	ADJ
ispiv-149	117	28	;	;	PUNCT
ispiv-149	117	29	b	b	X
ispiv-149	117	30	;	;	PUNCT
ispiv-149	117	31	a	a	PRON
ispiv-149	117	32	}	}	PUNCT
ispiv-149	117	33	with	with	ADP
ispiv-149	117	34	a	a	DET
ispiv-149	117	35	>	>	X
ispiv-149	117	36	b>0	b>0	PROPN
ispiv-149	117	37	.	.	PUNCT
ispiv-149	118	1	one	one	PRON
ispiv-149	118	2	can	can	AUX
ispiv-149	118	3	set	set	VERB
ispiv-149	118	4	b=1	b=1	VERB
ispiv-149	118	5	and	and	CCONJ
ispiv-149	118	6	change	change	NOUN
ispiv-149	118	7	dt	dt	PUNCT
ispiv-149	118	8	accordingly	accordingly	ADV
ispiv-149	118	9	without	without	ADP
ispiv-149	118	10	loss	loss	NOUN
ispiv-149	118	11	of	of	ADP
ispiv-149	118	12	generality	generality	NOUN
ispiv-149	118	13	to	to	PART
ispiv-149	118	14	introduce	introduce	VERB
ispiv-149	118	15	the	the	DET
ispiv-149	118	16	ratio	ratio	NOUN
ispiv-149	118	17	r	r	NOUN
ispiv-149	118	18	=	=	NOUN
ispiv-149	118	19	a	a	NOUN
ispiv-149	118	20	/	/	SYM
ispiv-149	118	21	b≠1	b≠1	NOUN
ispiv-149	118	22	which	which	PRON
ispiv-149	118	23	is	be	AUX
ispiv-149	118	24	sufficient	sufficient	ADJ
ispiv-149	118	25	to	to	PART
ispiv-149	118	26	describe	describe	VERB
ispiv-149	118	27	any	any	DET
ispiv-149	118	28	centered	center	VERB
ispiv-149	118	29	fp	fp	NOUN
ispiv-149	118	30	distribution	distribution	NOUN
ispiv-149	118	31	.	.	PUNCT
ispiv-149	119	1	as	as	ADP
ispiv-149	119	2	for	for	ADP
ispiv-149	119	3	the	the	DET
ispiv-149	119	4	tp	tp	NOUN
ispiv-149	119	5	case	case	NOUN
ispiv-149	119	6	,	,	PUNCT
ispiv-149	119	7	halving	halve	VERB
ispiv-149	119	8	dt	dt	PUNCT
ispiv-149	119	9	lightens	lighten	VERB
ispiv-149	119	10	the	the	DET
ispiv-149	119	11	writing	writing	NOUN
ispiv-149	119	12	of	of	ADP
ispiv-149	119	13	the	the	DET
ispiv-149	119	14	time	time	NOUN
ispiv-149	119	15	lags	lag	VERB
ispiv-149	119	16	surrounding	surround	VERB
ispiv-149	119	17	the	the	DET
ispiv-149	119	18	instant	instant	NOUN
ispiv-149	119	19	of	of	ADP
ispiv-149	119	20	interest	interest	NOUN
ispiv-149	119	21	.	.	PUNCT
ispiv-149	120	1	the	the	DET
ispiv-149	120	2	exact	exact	ADJ
ispiv-149	120	3	fit	fit	NOUN
ispiv-149	120	4	is	be	AUX
ispiv-149	120	5	obtained	obtain	VERB
ispiv-149	120	6	from	from	ADP
ispiv-149	120	7	a	a	DET
ispiv-149	120	8	taylor	taylor	PROPN
ispiv-149	120	9	development	development	NOUN
ispiv-149	120	10	at	at	ADP
ispiv-149	120	11	the	the	DET
ispiv-149	120	12	3rd	3rd	ADJ
ispiv-149	120	13	order	order	NOUN
ispiv-149	120	14	in	in	ADP
ispiv-149	120	15	which	which	PRON
ispiv-149	120	16	:	:	PUNCT
ispiv-149	120	17	v	v	NUM
ispiv-149	120	18	4=	4=	NUM
ispiv-149	120	19	[	[	PUNCT
ispiv-149	120	20	1	1	NUM
ispiv-149	120	21	−r	−r	ADJ
ispiv-149	120	22	r2	r2	NOUN
ispiv-149	120	23	−r3	−r3	PROPN
ispiv-149	120	24	1	1	NUM
ispiv-149	120	25	−1	−1	NOUN
ispiv-149	120	26	1	1	NUM
ispiv-149	120	27	−1	−1	NOUN
ispiv-149	120	28	1	1	NUM
ispiv-149	120	29	1	1	NUM
ispiv-149	120	30	1	1	NUM
ispiv-149	120	31	1	1	NUM
ispiv-149	120	32	1	1	NUM
ispiv-149	120	33	r	r	NOUN
ispiv-149	120	34	r2	r2	PROPN
ispiv-149	120	35	r3	r3	PROPN
ispiv-149	120	36	]	]	PUNCT
ispiv-149	120	37	.	.	PUNCT
ispiv-149	121	1	here	here	ADV
ispiv-149	121	2	,	,	PUNCT
ispiv-149	121	3	setting	set	VERB
ispiv-149	121	4	r=±3	r=±3	NOUN
ispiv-149	121	5	or	or	CCONJ
ispiv-149	121	6	r=±1/3	r=±1/3	PROPN
ispiv-149	121	7	transforms	transform	VERB
ispiv-149	121	8	the	the	DET
ispiv-149	121	9	generic	generic	ADJ
ispiv-149	121	10	fp	fp	NOUN
ispiv-149	121	11	case	case	NOUN
ispiv-149	121	12	in	in	ADP
ispiv-149	121	13	a	a	DET
ispiv-149	121	14	regularly	regularly	ADV
ispiv-149	121	15	distributed	distribute	VERB
ispiv-149	121	16	fourinstants	fourinstant	NOUN
ispiv-149	121	17	mp	mp	NOUN
ispiv-149	121	18	case	case	NOUN
ispiv-149	121	19	,	,	PUNCT
ispiv-149	121	20	which	which	PRON
ispiv-149	121	21	can	can	AUX
ispiv-149	121	22	be	be	AUX
ispiv-149	121	23	generalized	generalize	VERB
ispiv-149	121	24	to	to	ADP
ispiv-149	121	25	centered	center	VERB
ispiv-149	121	26	mp	mp	NOUN
ispiv-149	121	27	measurements	measurement	NOUN
ispiv-149	121	28	based	base	VERB
ispiv-149	121	29	on	on	ADP
ispiv-149	121	30	an	an	DET
ispiv-149	121	31	even	even	ADJ
ispiv-149	121	32	number	number	NOUN
ispiv-149	121	33	of	of	ADP
ispiv-149	121	34	instants	instant	NOUN
ispiv-149	121	35	.	.	PUNCT
ispiv-149	122	1	this	this	PRON
ispiv-149	122	2	yields	yield	VERB
ispiv-149	122	3	the	the	DET
ispiv-149	122	4	inverse	inverse	NOUN
ispiv-149	122	5	matrix	matrix	NOUN
ispiv-149	122	6	:	:	PUNCT
ispiv-149	122	7	w	w	X
ispiv-149	122	8	4=	4=	NUM
ispiv-149	122	9	1	1	NUM
ispiv-149	122	10	2r	2r	NUM
ispiv-149	122	11	(	(	PUNCT
ispiv-149	122	12	r2	r2	PROPN
ispiv-149	122	13	−1	−1	NOUN
ispiv-149	122	14	)	)	PUNCT
ispiv-149	122	15	[	[	PUNCT
ispiv-149	122	16	−r	−r	PROPN
ispiv-149	122	17	r3	r3	PROPN
ispiv-149	122	18	r3	r3	PROPN
ispiv-149	122	19	−r	−r	ADJ
ispiv-149	122	20	1	1	NUM
ispiv-149	122	21	−r3	−r3	PROPN
ispiv-149	122	22	r3	r3	PROPN
ispiv-149	122	23	−1	−1	NOUN
ispiv-149	122	24	r	r	PROPN
ispiv-149	122	25	−r	−r	PROPN
ispiv-149	122	26	−r	−r	PROPN
ispiv-149	122	27	r	r	NOUN
ispiv-149	122	28	−1	−1	NOUN
ispiv-149	122	29	r	r	NOUN
ispiv-149	122	30	−r	−r	ADJ
ispiv-149	122	31	1	1	NUM
ispiv-149	122	32	]	]	PUNCT
ispiv-149	122	33	,	,	PUNCT
ispiv-149	122	34	and	and	CCONJ
ispiv-149	122	35	gives	give	VERB
ispiv-149	122	36	the	the	DET
ispiv-149	122	37	propagation	propagation	NOUN
ispiv-149	122	38	error	error	NOUN
ispiv-149	122	39	term	term	NOUN
ispiv-149	122	40	u4	u4	NOUN
ispiv-149	122	41	=	=	ADJ
ispiv-149	122	42	f3w	f3w	ADJ
ispiv-149	122	43	4	4	NUM
ispiv-149	122	44	e4	e4	PROPN
ispiv-149	122	45	:	:	PUNCT
ispiv-149	122	46	u4=	u4=	NOUN
ispiv-149	122	47	1	1	NUM
ispiv-149	122	48	2	2	NUM
ispiv-149	122	49	r	r	NOUN
ispiv-149	122	50	(	(	PUNCT
ispiv-149	122	51	r2	r2	PROPN
ispiv-149	122	52	−1	−1	NOUN
ispiv-149	122	53	)	)	PUNCT
ispiv-149	122	54	[	[	PUNCT
ispiv-149	122	55	1	1	NUM
ispiv-149	122	56	0	0	NUM
ispiv-149	122	57	0	0	NUM
ispiv-149	122	58	0	0	NUM
ispiv-149	122	59	0	0	NUM
ispiv-149	122	60	1	1	NUM
ispiv-149	122	61	/	/	SYM
ispiv-149	122	62	dt	dt	NOUN
ispiv-149	122	63	0	0	NUM
ispiv-149	122	64	0	0	NUM
ispiv-149	122	65	0	0	NUM
ispiv-149	122	66	0	0	NUM
ispiv-149	122	67	2	2	NUM
ispiv-149	122	68	/	/	SYM
ispiv-149	122	69	dt2	dt2	NOUN
ispiv-149	122	70	0	0	NUM
ispiv-149	122	71	0	0	NUM
ispiv-149	122	72	0	0	NUM
ispiv-149	122	73	0	0	NUM
ispiv-149	122	74	6	6	NUM
ispiv-149	122	75	/	/	SYM
ispiv-149	122	76	dt	dt	NOUN
ispiv-149	122	77	3	3	NUM
ispiv-149	122	78	]	]	X
ispiv-149	122	79	[	[	PUNCT
ispiv-149	122	80	−r	−r	PROPN
ispiv-149	122	81	r3	r3	PROPN
ispiv-149	122	82	r3	r3	PROPN
ispiv-149	122	83	−r	−r	PROPN
ispiv-149	122	84	1	1	NUM
ispiv-149	122	85	−r	−r	ADJ
ispiv-149	122	86	3	3	NUM
ispiv-149	122	87	r3	r3	PROPN
ispiv-149	122	88	−1	−1	NOUN
ispiv-149	122	89	r	r	PROPN
ispiv-149	122	90	−r	−r	PROPN
ispiv-149	122	91	−r	−r	PROPN
ispiv-149	122	92	r	r	NOUN
ispiv-149	122	93	−1	−1	NOUN
ispiv-149	122	94	r	r	NOUN
ispiv-149	122	95	−r	−r	ADJ
ispiv-149	122	96	1	1	NUM
ispiv-149	122	97	]	]	X
ispiv-149	122	98	e4	e4	PROPN
ispiv-149	122	99	,	,	PUNCT
ispiv-149	122	100	of	of	ADP
ispiv-149	122	101	norms	norm	NOUN
ispiv-149	122	102	:	:	PUNCT
ispiv-149	122	103	1	1	NUM
ispiv-149	122	104	|r2	|r2	NOUN
ispiv-149	122	105	−1|	−1|	PROPN
ispiv-149	122	106	[	[	PUNCT
ispiv-149	122	107	√	√	PUNCT
ispiv-149	122	108	r4	r4	VERB
ispiv-149	122	109	+1	+1	PROPN
ispiv-149	122	110	√2	√2	PROPN
ispiv-149	122	111	√r	√r	ADP
ispiv-149	122	112	6	6	NUM
ispiv-149	122	113	+1	+1	PROPN
ispiv-149	122	114	√2|r|dt	√2|r|dt	NOUN
ispiv-149	122	115	2	2	NUM
ispiv-149	122	116	dt	dt	NOUN
ispiv-149	122	117	2	2	NUM
ispiv-149	122	118	3√2(r2	3√2(r2	NUM
ispiv-149	122	119	+1	+1	PROPN
ispiv-149	122	120	)	)	PUNCT
ispiv-149	122	121	|r|dt3	|r|dt3	NOUN
ispiv-149	122	122	]	]	PUNCT
ispiv-149	122	123	⊤	⊤	NOUN
ispiv-149	122	124	.	.	PUNCT
ispiv-149	123	1	the	the	DET
ispiv-149	123	2	corresponding	correspond	VERB
ispiv-149	123	3	truncation	truncation	NOUN
ispiv-149	123	4	errors	error	NOUN
ispiv-149	123	5	at	at	ADP
ispiv-149	123	6	order	order	NOUN
ispiv-149	123	7	5	5	NUM
ispiv-149	123	8	are	be	AUX
ispiv-149	123	9	given	give	VERB
ispiv-149	123	10	by	by	ADP
ispiv-149	123	11	:	:	PUNCT
ispiv-149	123	12	14th	14th	ADJ
ispiv-149	123	13	international	international	ADJ
ispiv-149	123	14	symposium	symposium	NOUN
ispiv-149	123	15	on	on	ADP
ispiv-149	123	16	particle	particle	NOUN
ispiv-149	123	17	image	image	NOUN
ispiv-149	123	18	velocimetry	velocimetry	NOUN
ispiv-149	123	19	–	–	PUNCT
ispiv-149	123	20	ispiv	ispiv	NOUN
ispiv-149	123	21	2021	2021	NUM
ispiv-149	123	22	august	august	PROPN
ispiv-149	123	23	1	1	NUM
ispiv-149	123	24	-	-	SYM
ispiv-149	123	25	5	5	NUM
ispiv-149	123	26	,	,	PUNCT
ispiv-149	123	27	2021	2021	NUM
ispiv-149	123	28	f4w	f4w	NOUN
ispiv-149	123	29	4v	4v	NUM
ispiv-149	123	30	45d5=	45d5=	NUM
ispiv-149	123	31	[	[	PUNCT
ispiv-149	123	32	γ(t	γ(t	NOUN
ispiv-149	123	33	)	)	PUNCT
ispiv-149	124	1	−	−	PROPN
ispiv-149	125	1	r2	r2	NOUN
ispiv-149	125	2	dt	dt	NOUN
ispiv-149	125	3	4	4	NUM
ispiv-149	125	4	24	24	NUM
ispiv-149	125	5	γ	γ	NOUN
ispiv-149	125	6	(	(	PUNCT
ispiv-149	125	7	4	4	NUM
ispiv-149	125	8	)	)	PUNCT
ispiv-149	125	9	(	(	PUNCT
ispiv-149	125	10	t	t	PROPN
ispiv-149	125	11	)	)	PUNCT
ispiv-149	125	12	+	+	NUM
ispiv-149	125	13	o(dt5	o(dt5	SYM
ispiv-149	125	14	)	)	PUNCT
ispiv-149	125	15	γ̇(t	γ̇(t	PROPN
ispiv-149	125	16	)	)	PUNCT
ispiv-149	125	17	−	−	PROPN
ispiv-149	125	18	r2	r2	NOUN
ispiv-149	125	19	dt	dt	NOUN
ispiv-149	125	20	4	4	NUM
ispiv-149	125	21	120	120	NUM
ispiv-149	125	22	γ	γ	X
ispiv-149	125	23	(	(	PUNCT
ispiv-149	125	24	5	5	NUM
ispiv-149	125	25	)	)	PUNCT
ispiv-149	125	26	(	(	PUNCT
ispiv-149	125	27	t	t	NOUN
ispiv-149	125	28	)	)	PUNCT
ispiv-149	125	29	+	+	NUM
ispiv-149	125	30	o(dt	o(dt	PROPN
ispiv-149	125	31	4	4	NUM
ispiv-149	125	32	)	)	PUNCT
ispiv-149	125	33	γ̈(t	γ̈(t	PROPN
ispiv-149	125	34	)	)	PUNCT
ispiv-149	126	1	+	+	CCONJ
ispiv-149	126	2	(	(	PUNCT
ispiv-149	126	3	r2	r2	PROPN
ispiv-149	126	4	+1	+1	PROPN
ispiv-149	126	5	)	)	PUNCT
ispiv-149	126	6	dt	dt	X
ispiv-149	126	7	2	2	NUM
ispiv-149	126	8	12	12	NUM
ispiv-149	126	9	γ	γ	NOUN
ispiv-149	126	10	(	(	PUNCT
ispiv-149	126	11	4	4	NUM
ispiv-149	126	12	)	)	PUNCT
ispiv-149	126	13	(	(	PUNCT
ispiv-149	126	14	t	t	PROPN
ispiv-149	126	15	)	)	PUNCT
ispiv-149	127	1	+	+	CCONJ
ispiv-149	127	2	o(dt2	o(dt2	NOUN
ispiv-149	127	3	)	)	PUNCT
ispiv-149	127	4	γ	γ	NOUN
ispiv-149	127	5	(	(	PUNCT
ispiv-149	127	6	3	3	NUM
ispiv-149	127	7	)	)	PUNCT
ispiv-149	127	8	(	(	PUNCT
ispiv-149	127	9	t	t	NOUN
ispiv-149	127	10	)	)	PUNCT
ispiv-149	127	11	+	+	CCONJ
ispiv-149	127	12	(	(	PUNCT
ispiv-149	127	13	r2	r2	PROPN
ispiv-149	127	14	+1	+1	PROPN
ispiv-149	127	15	)	)	PUNCT
ispiv-149	127	16	dt	dt	X
ispiv-149	127	17	2	2	NUM
ispiv-149	127	18	20	20	NUM
ispiv-149	127	19	γ	γ	X
ispiv-149	127	20	(	(	PUNCT
ispiv-149	127	21	5	5	NUM
ispiv-149	127	22	)	)	PUNCT
ispiv-149	127	23	(	(	PUNCT
ispiv-149	127	24	t	t	NOUN
ispiv-149	127	25	)	)	PUNCT
ispiv-149	127	26	+	+	NOUN
ispiv-149	128	1	o(dt2	o(dt2	NOUN
ispiv-149	128	2	)	)	PUNCT
ispiv-149	128	3	]	]	PUNCT
ispiv-149	128	4	.	.	PUNCT
ispiv-149	129	1	the	the	DET
ispiv-149	129	2	central	central	ADJ
ispiv-149	129	3	position	position	NOUN
ispiv-149	129	4	and	and	CCONJ
ispiv-149	129	5	acceleration	acceleration	NOUN
ispiv-149	129	6	are	be	AUX
ispiv-149	129	7	obtained	obtain	VERB
ispiv-149	129	8	with	with	ADP
ispiv-149	129	9	a	a	DET
ispiv-149	129	10	truncation	truncation	NOUN
ispiv-149	129	11	error	error	NOUN
ispiv-149	129	12	of	of	ADP
ispiv-149	129	13	4	4	NUM
ispiv-149	129	14	th	th	NUM
ispiv-149	129	15	order	order	NOUN
ispiv-149	129	16	,	,	PUNCT
ispiv-149	129	17	respectively	respectively	ADV
ispiv-149	129	18	proportional	proportional	ADJ
ispiv-149	129	19	to	to	ADP
ispiv-149	129	20	r2	r2	PROPN
ispiv-149	129	21	and	and	CCONJ
ispiv-149	129	22	r2	r2	PROPN
ispiv-149	129	23	+1	+1	PROPN
ispiv-149	129	24	.	.	PUNCT
ispiv-149	130	1	velocity	velocity	NOUN
ispiv-149	130	2	and	and	CCONJ
ispiv-149	130	3	jolt	jolt	NOUN
ispiv-149	130	4	are	be	AUX
ispiv-149	130	5	obtained	obtain	VERB
ispiv-149	130	6	with	with	ADP
ispiv-149	130	7	a	a	DET
ispiv-149	130	8	truncation	truncation	NOUN
ispiv-149	130	9	error	error	NOUN
ispiv-149	130	10	of	of	ADP
ispiv-149	130	11	5th	5th	ADJ
ispiv-149	130	12	order	order	NOUN
ispiv-149	130	13	,	,	PUNCT
ispiv-149	130	14	also	also	ADV
ispiv-149	130	15	respectively	respectively	ADV
ispiv-149	130	16	proportional	proportional	ADJ
ispiv-149	130	17	to	to	ADP
ispiv-149	130	18	r2	r2	PROPN
ispiv-149	130	19	and	and	CCONJ
ispiv-149	130	20	r2	r2	NOUN
ispiv-149	130	21	+1	+1	INTJ
ispiv-149	130	22	.	.	PUNCT
ispiv-149	131	1	3.3.2	3.3.2	NUM
ispiv-149	131	2	approximate	approximate	ADJ
ispiv-149	131	3	fit	fit	NOUN
ispiv-149	131	4	for	for	ADP
ispiv-149	131	5	fp	fp	NOUN
ispiv-149	131	6	or	or	CCONJ
ispiv-149	131	7	mp	mp	PROPN
ispiv-149	131	8	measurements	measurement	NOUN
ispiv-149	131	9	,	,	PUNCT
ispiv-149	131	10	the	the	DET
ispiv-149	131	11	second	second	ADJ
ispiv-149	131	12	order	order	NOUN
ispiv-149	131	13	fit	fit	NOUN
ispiv-149	131	14	is	be	AUX
ispiv-149	131	15	mandatory	mandatory	ADJ
ispiv-149	131	16	but	but	CCONJ
ispiv-149	131	17	sufficient	sufficient	ADJ
ispiv-149	131	18	to	to	PART
ispiv-149	131	19	obtain	obtain	VERB
ispiv-149	131	20	2	2	NUM
ispiv-149	131	21	nd	nd	NOUN
ispiv-149	131	22	order	order	NOUN
ispiv-149	131	23	derivatives	derivative	NOUN
ispiv-149	131	24	.	.	PUNCT
ispiv-149	132	1	it	it	PRON
ispiv-149	132	2	can	can	AUX
ispiv-149	132	3	be	be	AUX
ispiv-149	132	4	used	use	VERB
ispiv-149	132	5	to	to	PART
ispiv-149	132	6	illustrate	illustrate	VERB
ispiv-149	132	7	approximate	approximate	ADJ
ispiv-149	132	8	fits	fit	NOUN
ispiv-149	132	9	at	at	ADP
ispiv-149	132	10	all	all	DET
ispiv-149	132	11	orders	order	NOUN
ispiv-149	132	12	below	below	ADP
ispiv-149	132	13	m	m	PROPN
ispiv-149	132	14	.	.	PUNCT
ispiv-149	133	1	apart	apart	ADV
ispiv-149	133	2	from	from	ADP
ispiv-149	133	3	the	the	DET
ispiv-149	133	4	exact	exact	ADJ
ispiv-149	133	5	m	m	NOUN
ispiv-149	133	6	=	=	ADJ
ispiv-149	133	7	n+1=3	n+1=3	ADJ
ispiv-149	133	8	case	case	NOUN
ispiv-149	133	9	illustrated	illustrate	VERB
ispiv-149	133	10	above	above	ADV
ispiv-149	133	11	,	,	PUNCT
ispiv-149	133	12	it	it	PRON
ispiv-149	133	13	can	can	AUX
ispiv-149	133	14	be	be	AUX
ispiv-149	133	15	written	write	VERB
ispiv-149	133	16	from	from	ADP
ispiv-149	133	17	v	v	PRON
ispiv-149	133	18	m2=[am	m2=[am	PROPN
ispiv-149	133	19	0	0	NUM
ispiv-149	133	20	am	be	AUX
ispiv-149	133	21	1	1	NUM
ispiv-149	133	22	am	am	NOUN
ispiv-149	133	23	2	2	NUM
ispiv-149	133	24	]	]	PUNCT
ispiv-149	133	25	whose	whose	DET
ispiv-149	133	26	pseudo	pseudo	NOUN
ispiv-149	133	27	-	-	NOUN
ispiv-149	133	28	inverse	inverse	NOUN
ispiv-149	133	29	is	be	AUX
ispiv-149	133	30	w	w	PROPN
ispiv-149	133	31	2	2	NUM
ispiv-149	133	32	m	m	NOUN
ispiv-149	133	33	.	.	PUNCT
ispiv-149	134	1	error	error	NOUN
ispiv-149	134	2	propagation	propagation	NOUN
ispiv-149	134	3	is	be	AUX
ispiv-149	134	4	directly	directly	ADV
ispiv-149	134	5	given	give	VERB
ispiv-149	134	6	by	by	ADP
ispiv-149	134	7	writing	write	VERB
ispiv-149	134	8	f3w	f3w	PROPN
ispiv-149	134	9	2	2	NUM
ispiv-149	134	10	m	m	NOUN
ispiv-149	134	11	em	em	PRON
ispiv-149	134	12	and	and	CCONJ
ispiv-149	134	13	truncation	truncation	VERB
ispiv-149	134	14	errors	error	NOUN
ispiv-149	134	15	from	from	ADP
ispiv-149	134	16	:	:	PUNCT
ispiv-149	134	17	w	w	PROPN
ispiv-149	134	18	2mgm	2mgm	NUM
ispiv-149	134	19	=	=	ADJ
ispiv-149	134	20	d2+w	d2+w	PROPN
ispiv-149	134	21	2	2	NUM
ispiv-149	134	22	m	m	NOUN
ispiv-149	134	23	am	be	AUX
ispiv-149	134	24	3	3	NUM
ispiv-149	134	25	γ	γ	X
ispiv-149	134	26	(	(	PUNCT
ispiv-149	134	27	3)dt3/3	3)dt3/3	NUM
ispiv-149	134	28	!	!	PUNCT
ispiv-149	135	1	+	+	NOUN
ispiv-149	135	2	…	…	PUNCT
ispiv-149	135	3	+	+	ADJ
ispiv-149	135	4	w	w	PROPN
ispiv-149	135	5	2	2	NUM
ispiv-149	135	6	m	m	NOUN
ispiv-149	135	7	am	be	AUX
ispiv-149	135	8	(	(	PUNCT
ispiv-149	135	9	p	p	X
ispiv-149	135	10	)	)	PUNCT
ispiv-149	135	11	γ	γ	NOUN
ispiv-149	135	12	(	(	PUNCT
ispiv-149	135	13	p	p	NOUN
ispiv-149	135	14	)	)	PUNCT
ispiv-149	135	15	dt	dt	PROPN
ispiv-149	136	1	p/	p/	NOUN
ispiv-149	136	2	p	p	X
ispiv-149	136	3	!	!	PUNCT
ispiv-149	137	1	o(dt	o(dt	PROPN
ispiv-149	137	2	p	p	NOUN
ispiv-149	137	3	)	)	PUNCT
ispiv-149	137	4	.	.	PUNCT
ispiv-149	138	1	for	for	ADP
ispiv-149	138	2	odd	odd	ADJ
ispiv-149	138	3	mp	mp	PROPN
ispiv-149	138	4	distributions	distribution	NOUN
ispiv-149	138	5	,	,	PUNCT
ispiv-149	138	6	the	the	DET
ispiv-149	138	7	construction	construction	NOUN
ispiv-149	138	8	and	and	CCONJ
ispiv-149	138	9	analysis	analysis	NOUN
ispiv-149	138	10	of	of	ADP
ispiv-149	138	11	the	the	DET
ispiv-149	138	12	central	central	ADJ
ispiv-149	138	13	finite	finite	ADJ
ispiv-149	138	14	differences	difference	NOUN
ispiv-149	138	15	scheme	scheme	NOUN
ispiv-149	138	16	is	be	AUX
ispiv-149	138	17	similar	similar	ADJ
ispiv-149	138	18	to	to	ADP
ispiv-149	138	19	what	what	PRON
ispiv-149	138	20	is	be	AUX
ispiv-149	138	21	obtained	obtain	VERB
ispiv-149	138	22	for	for	ADP
ispiv-149	138	23	the	the	DET
ispiv-149	138	24	exact	exact	ADJ
ispiv-149	138	25	m	m	NOUN
ispiv-149	138	26	=	=	ADJ
ispiv-149	138	27	n+1=3	n+1=3	ADJ
ispiv-149	138	28	case	case	NOUN
ispiv-149	138	29	.	.	PUNCT
ispiv-149	139	1	for	for	ADP
ispiv-149	139	2	even	even	ADV
ispiv-149	139	3	mp	mp	NOUN
ispiv-149	139	4	distribution	distribution	NOUN
ispiv-149	139	5	,	,	PUNCT
ispiv-149	139	6	the	the	DET
ispiv-149	139	7	construction	construction	NOUN
ispiv-149	139	8	of	of	ADP
ispiv-149	139	9	the	the	DET
ispiv-149	139	10	centered	center	VERB
ispiv-149	139	11	finite	finite	ADJ
ispiv-149	139	12	difference	difference	NOUN
ispiv-149	139	13	scheme	scheme	NOUN
ispiv-149	139	14	can	can	AUX
ispiv-149	139	15	be	be	AUX
ispiv-149	139	16	illustrated	illustrate	VERB
ispiv-149	139	17	by	by	ADP
ispiv-149	139	18	a	a	DET
ispiv-149	139	19	second	second	ADJ
ispiv-149	139	20	order	order	NOUN
ispiv-149	139	21	approximate	approximate	ADJ
ispiv-149	139	22	fit	fit	NOUN
ispiv-149	139	23	of	of	ADP
ispiv-149	139	24	the	the	DET
ispiv-149	139	25	generic	generic	ADJ
ispiv-149	139	26	fp	fp	NOUN
ispiv-149	139	27	case	case	NOUN
ispiv-149	139	28	.	.	PUNCT
ispiv-149	140	1	the	the	DET
ispiv-149	140	2	corresponding	corresponding	PROPN
ispiv-149	140	3	taylor	taylor	PROPN
ispiv-149	140	4	development	development	NOUN
ispiv-149	140	5	is	be	AUX
ispiv-149	140	6	built	build	VERB
ispiv-149	140	7	as	as	ADP
ispiv-149	140	8	a	a	DET
ispiv-149	140	9	restriction	restriction	NOUN
ispiv-149	140	10	of	of	ADP
ispiv-149	140	11	v	v	NOUN
ispiv-149	140	12	4	4	NUM
ispiv-149	140	13	used	use	VERB
ispiv-149	140	14	in	in	ADP
ispiv-149	140	15	the	the	DET
ispiv-149	140	16	exact	exact	ADJ
ispiv-149	140	17	fp	fp	NOUN
ispiv-149	140	18	case	case	NOUN
ispiv-149	140	19	:	:	PUNCT
ispiv-149	140	20	v	v	NUM
ispiv-149	140	21	42=	42=	NOUN
ispiv-149	140	22	[	[	PUNCT
ispiv-149	140	23	1	1	NUM
ispiv-149	140	24	−r	−r	ADJ
ispiv-149	140	25	r2	r2	PROPN
ispiv-149	140	26	1	1	NUM
ispiv-149	140	27	−1	−1	NOUN
ispiv-149	140	28	1	1	NUM
ispiv-149	140	29	1	1	NUM
ispiv-149	140	30	1	1	NUM
ispiv-149	140	31	1	1	NUM
ispiv-149	140	32	1	1	NUM
ispiv-149	140	33	r	r	NOUN
ispiv-149	140	34	r2	r2	NOUN
ispiv-149	140	35	]	]	PUNCT
ispiv-149	140	36	,	,	PUNCT
ispiv-149	140	37	which	which	PRON
ispiv-149	140	38	results	result	VERB
ispiv-149	140	39	in	in	ADP
ispiv-149	140	40	the	the	DET
ispiv-149	140	41	pseudo	pseudo	NOUN
ispiv-149	140	42	-	-	ADJ
ispiv-149	140	43	inverse	inverse	ADJ
ispiv-149	140	44	matrix	matrix	NOUN
ispiv-149	140	45	:	:	PUNCT
ispiv-149	141	1	w	w	NOUN
ispiv-149	141	2	24=	24=	NUM
ispiv-149	141	3	1	1	NUM
ispiv-149	141	4	2	2	NUM
ispiv-149	141	5	[	[	PUNCT
ispiv-149	141	6	−	−	PROPN
ispiv-149	141	7	1	1	NUM
ispiv-149	141	8	r	r	NOUN
ispiv-149	141	9	2	2	NUM
ispiv-149	141	10	−1	−1	NOUN
ispiv-149	141	11	r2	r2	NOUN
ispiv-149	141	12	r	r	NOUN
ispiv-149	141	13	2	2	NUM
ispiv-149	141	14	−1	−1	NOUN
ispiv-149	141	15	r2	r2	NOUN
ispiv-149	141	16	r	r	NOUN
ispiv-149	141	17	2	2	NUM
ispiv-149	141	18	−1	−1	NOUN
ispiv-149	141	19	−	−	NOUN
ispiv-149	141	20	1	1	NUM
ispiv-149	141	21	r2	r2	NOUN
ispiv-149	141	22	−1	−1	NOUN
ispiv-149	141	23	−	−	NOUN
ispiv-149	141	24	r	r	NOUN
ispiv-149	141	25	r2	r2	NOUN
ispiv-149	141	26	+1	+1	INTJ
ispiv-149	141	27	−	−	NOUN
ispiv-149	141	28	1	1	NUM
ispiv-149	141	29	r2	r2	NOUN
ispiv-149	141	30	+1	+1	NOUN
ispiv-149	141	31	1	1	NUM
ispiv-149	141	32	r2	r2	NOUN
ispiv-149	141	33	+1	+1	ADJ
ispiv-149	141	34	r	r	NOUN
ispiv-149	141	35	r2	r2	NOUN
ispiv-149	141	36	+1	+1	NOUN
ispiv-149	141	37	1	1	NUM
ispiv-149	141	38	r2	r2	NOUN
ispiv-149	141	39	−1	−1	NOUN
ispiv-149	141	40	−	−	NOUN
ispiv-149	141	41	1	1	NUM
ispiv-149	141	42	r	r	NOUN
ispiv-149	141	43	2	2	NUM
ispiv-149	141	44	−1	−1	NOUN
ispiv-149	141	45	−	−	NOUN
ispiv-149	141	46	1	1	NUM
ispiv-149	141	47	r2	r2	NOUN
ispiv-149	141	48	−1	−1	NOUN
ispiv-149	141	49	1	1	NUM
ispiv-149	141	50	r2	r2	NOUN
ispiv-149	141	51	−1	−1	NOUN
ispiv-149	141	52	]	]	PUNCT
ispiv-149	141	53	,	,	PUNCT
ispiv-149	141	54	14th	14th	ADJ
ispiv-149	141	55	international	international	ADJ
ispiv-149	141	56	symposium	symposium	NOUN
ispiv-149	141	57	on	on	ADP
ispiv-149	141	58	particle	particle	NOUN
ispiv-149	141	59	image	image	NOUN
ispiv-149	141	60	velocimetry	velocimetry	NOUN
ispiv-149	141	61	–	–	PUNCT
ispiv-149	141	62	ispiv	ispiv	NOUN
ispiv-149	141	63	2021	2021	NUM
ispiv-149	141	64	august	august	PROPN
ispiv-149	141	65	1	1	NUM
ispiv-149	141	66	-	-	SYM
ispiv-149	141	67	5	5	NUM
ispiv-149	141	68	,	,	PUNCT
ispiv-149	141	69	2021	2021	NUM
ispiv-149	141	70	and	and	CCONJ
ispiv-149	141	71	in	in	ADP
ispiv-149	141	72	which	which	PRON
ispiv-149	141	73	only	only	ADV
ispiv-149	141	74	the	the	DET
ispiv-149	141	75	first	first	ADJ
ispiv-149	141	76	derivative	derivative	ADJ
ispiv-149	141	77	weights	weight	NOUN
ispiv-149	141	78	differ	differ	VERB
ispiv-149	141	79	from	from	ADP
ispiv-149	141	80	w	w	PROPN
ispiv-149	141	81	4	4	NUM
ispiv-149	141	82	.	.	PUNCT
ispiv-149	142	1	the	the	DET
ispiv-149	142	2	error	error	NOUN
ispiv-149	142	3	propagation	propagation	NOUN
ispiv-149	142	4	term	term	NOUN
ispiv-149	142	5	is	be	AUX
ispiv-149	142	6	u4	u4	ADJ
ispiv-149	142	7	=	=	ADJ
ispiv-149	142	8	f3w	f3w	ADJ
ispiv-149	142	9	24	24	NUM
ispiv-149	142	10	e4	e4	PROPN
ispiv-149	142	11	,	,	PUNCT
ispiv-149	142	12	of	of	ADP
ispiv-149	142	13	norms	norm	NOUN
ispiv-149	142	14	:	:	PUNCT
ispiv-149	142	15	[	[	PUNCT
ispiv-149	142	16	√r4	√r4	X
ispiv-149	142	17	+1	+1	VERB
ispiv-149	142	18	√2|r2	√2|r2	PRON
ispiv-149	142	19	−1|	−1|	X
ispiv-149	142	20	1	1	NUM
ispiv-149	142	21	√2(r2	√2(r2	NOUN
ispiv-149	142	22	+1)dt	+1)dt	PROPN
ispiv-149	142	23	2	2	NUM
ispiv-149	142	24	|r2	|r2	NOUN
ispiv-149	142	25	−1|dt	−1|dt	PROPN
ispiv-149	142	26	2	2	NUM
ispiv-149	142	27	]	]	PUNCT
ispiv-149	142	28	.	.	PUNCT
ispiv-149	143	1	the	the	DET
ispiv-149	143	2	truncation	truncation	NOUN
ispiv-149	143	3	error	error	NOUN
ispiv-149	143	4	is	be	AUX
ispiv-149	143	5	given	give	VERB
ispiv-149	143	6	by	by	ADP
ispiv-149	143	7	:	:	PUNCT
ispiv-149	143	8	f3w	f3w	ADJ
ispiv-149	143	9	24v	24v	NOUN
ispiv-149	143	10	44d4=	44d4=	NUM
ispiv-149	143	11	[	[	PUNCT
ispiv-149	143	12	γ	γ	X
ispiv-149	143	13	(	(	PUNCT
ispiv-149	143	14	t	t	PROPN
ispiv-149	143	15	)	)	PUNCT
ispiv-149	143	16	−	−	PROPN
ispiv-149	144	1	r2	r2	PROPN
ispiv-149	144	2	dt	dt	NOUN
ispiv-149	144	3	4	4	NUM
ispiv-149	144	4	24	24	NUM
ispiv-149	144	5	γ	γ	NOUN
ispiv-149	144	6	(	(	PUNCT
ispiv-149	144	7	4	4	NUM
ispiv-149	144	8	)	)	PUNCT
ispiv-149	144	9	(	(	PUNCT
ispiv-149	144	10	t	t	NOUN
ispiv-149	144	11	)	)	PUNCT
ispiv-149	144	12	+	+	NUM
ispiv-149	144	13	o(dt	o(dt	PROPN
ispiv-149	144	14	4	4	NUM
ispiv-149	144	15	)	)	PUNCT
ispiv-149	144	16	γ̇	γ̇	PROPN
ispiv-149	144	17	(	(	PUNCT
ispiv-149	144	18	t	t	PROPN
ispiv-149	144	19	)	)	PUNCT
ispiv-149	145	1	+	+	NOUN
ispiv-149	145	2	r	r	NOUN
ispiv-149	145	3	4	4	NUM
ispiv-149	145	4	+1	+1	NOUN
ispiv-149	145	5	r2	r2	NOUN
ispiv-149	146	1	+1	+1	INTJ
ispiv-149	146	2	dt	dt	NOUN
ispiv-149	146	3	2	2	NUM
ispiv-149	146	4	6	6	NUM
ispiv-149	146	5	γ	γ	X
ispiv-149	146	6	(	(	PUNCT
ispiv-149	146	7	3	3	NUM
ispiv-149	146	8	)	)	PUNCT
ispiv-149	146	9	(	(	PUNCT
ispiv-149	146	10	t	t	NOUN
ispiv-149	146	11	)	)	PUNCT
ispiv-149	147	1	+	+	NUM
ispiv-149	147	2	o	o	X
ispiv-149	147	3	(	(	PUNCT
ispiv-149	147	4	dt	dt	PROPN
ispiv-149	147	5	2	2	NUM
ispiv-149	147	6	)	)	PUNCT
ispiv-149	147	7	γ̈	γ̈	NOUN
ispiv-149	147	8	(	(	PUNCT
ispiv-149	147	9	t	t	PROPN
ispiv-149	147	10	)	)	PUNCT
ispiv-149	147	11	+	+	CCONJ
ispiv-149	147	12	(	(	PUNCT
ispiv-149	147	13	r2	r2	PROPN
ispiv-149	147	14	+1	+1	PROPN
ispiv-149	147	15	)	)	PUNCT
ispiv-149	147	16	dt	dt	X
ispiv-149	147	17	2	2	NUM
ispiv-149	147	18	12	12	NUM
ispiv-149	147	19	γ	γ	NOUN
ispiv-149	147	20	(	(	PUNCT
ispiv-149	147	21	4	4	NUM
ispiv-149	147	22	)	)	PUNCT
ispiv-149	147	23	(	(	PUNCT
ispiv-149	147	24	t	t	NOUN
ispiv-149	147	25	)	)	PUNCT
ispiv-149	148	1	+	+	NUM
ispiv-149	148	2	o	o	X
ispiv-149	148	3	(	(	PUNCT
ispiv-149	148	4	dt	dt	PROPN
ispiv-149	148	5	2	2	NUM
ispiv-149	148	6	)	)	PUNCT
ispiv-149	148	7	]	]	PUNCT
ispiv-149	148	8	.	.	PUNCT
ispiv-149	149	1	compared	compare	VERB
ispiv-149	149	2	to	to	ADP
ispiv-149	149	3	the	the	DET
ispiv-149	149	4	exact	exact	ADJ
ispiv-149	149	5	fp	fp	NOUN
ispiv-149	149	6	scheme	scheme	NOUN
ispiv-149	149	7	,	,	PUNCT
ispiv-149	149	8	the	the	DET
ispiv-149	149	9	estimates	estimate	NOUN
ispiv-149	149	10	of	of	ADP
ispiv-149	149	11	the	the	DET
ispiv-149	149	12	position	position	NOUN
ispiv-149	149	13	and	and	CCONJ
ispiv-149	149	14	acceleration	acceleration	NOUN
ispiv-149	149	15	are	be	AUX
ispiv-149	149	16	identical	identical	ADJ
ispiv-149	149	17	.	.	PUNCT
ispiv-149	150	1	the	the	DET
ispiv-149	150	2	difference	difference	NOUN
ispiv-149	150	3	between	between	ADP
ispiv-149	150	4	the	the	DET
ispiv-149	150	5	two	two	NUM
ispiv-149	150	6	schemes	scheme	NOUN
ispiv-149	150	7	only	only	ADV
ispiv-149	150	8	appear	appear	VERB
ispiv-149	150	9	in	in	ADP
ispiv-149	150	10	the	the	DET
ispiv-149	150	11	velocity	velocity	NOUN
ispiv-149	150	12	estimates	estimate	NOUN
ispiv-149	150	13	,	,	PUNCT
ispiv-149	150	14	which	which	PRON
ispiv-149	150	15	are	be	AUX
ispiv-149	150	16	obtained	obtain	VERB
ispiv-149	150	17	at	at	ADP
ispiv-149	150	18	order	order	NOUN
ispiv-149	150	19	3	3	NUM
ispiv-149	150	20	in	in	ADP
ispiv-149	150	21	the	the	DET
ispiv-149	150	22	approximate	approximate	ADJ
ispiv-149	150	23	fit	fit	NOUN
ispiv-149	150	24	and	and	CCONJ
ispiv-149	150	25	order	order	NOUN
ispiv-149	150	26	4	4	NUM
ispiv-149	150	27	in	in	ADP
ispiv-149	150	28	the	the	DET
ispiv-149	150	29	exact	exact	ADJ
ispiv-149	150	30	fit	fit	NOUN
ispiv-149	150	31	.	.	PUNCT
ispiv-149	151	1	conversely	conversely	ADV
ispiv-149	151	2	,	,	PUNCT
ispiv-149	151	3	the	the	DET
ispiv-149	151	4	error	error	NOUN
ispiv-149	151	5	propagation	propagation	NOUN
ispiv-149	151	6	on	on	ADP
ispiv-149	151	7	the	the	DET
ispiv-149	151	8	velocity	velocity	NOUN
ispiv-149	151	9	term	term	NOUN
ispiv-149	151	10	is	be	AUX
ispiv-149	151	11	governed	govern	VERB
ispiv-149	151	12	by	by	ADP
ispiv-149	151	13	:	:	PUNCT
ispiv-149	151	14	√r6	√r6	PROPN
ispiv-149	151	15	+1	+1	NOUN
ispiv-149	151	16	√2|r||r	√2|r||r	PUNCT
ispiv-149	151	17	2	2	NUM
ispiv-149	151	18	−1|dt	−1|dt	PROPN
ispiv-149	151	19	for	for	ADP
ispiv-149	151	20	the	the	DET
ispiv-149	151	21	exact	exact	ADJ
ispiv-149	151	22	fit	fit	NOUN
ispiv-149	151	23	,	,	PUNCT
ispiv-149	151	24	and	and	CCONJ
ispiv-149	151	25	1	1	NUM
ispiv-149	151	26	√2(r	√2(r	ADJ
ispiv-149	151	27	2	2	NUM
ispiv-149	151	28	+1)dt	+1)dt	PROPN
ispiv-149	151	29	for	for	ADP
ispiv-149	151	30	the	the	DET
ispiv-149	151	31	approximate	approximate	ADJ
ispiv-149	151	32	fit	fit	NOUN
ispiv-149	151	33	.	.	PUNCT
ispiv-149	152	1	it	it	PRON
ispiv-149	152	2	is	be	AUX
ispiv-149	152	3	then	then	ADV
ispiv-149	152	4	clear	clear	ADJ
ispiv-149	152	5	that	that	SCONJ
ispiv-149	152	6	despite	despite	SCONJ
ispiv-149	152	7	the	the	DET
ispiv-149	152	8	lower	low	ADJ
ispiv-149	152	9	truncation	truncation	NOUN
ispiv-149	152	10	error	error	NOUN
ispiv-149	152	11	,	,	PUNCT
ispiv-149	152	12	the	the	DET
ispiv-149	152	13	2nd	2nd	ADJ
ispiv-149	152	14	order	order	NOUN
ispiv-149	152	15	fit	fit	ADJ
ispiv-149	152	16	results	result	NOUN
ispiv-149	152	17	in	in	ADP
ispiv-149	152	18	a	a	DET
ispiv-149	152	19	significantly	significantly	ADV
ispiv-149	152	20	lower	low	ADJ
ispiv-149	152	21	sensitivity	sensitivity	NOUN
ispiv-149	152	22	to	to	ADP
ispiv-149	152	23	measurement	measurement	NOUN
ispiv-149	152	24	errors	error	NOUN
ispiv-149	152	25	,	,	PUNCT
ispiv-149	152	26	of	of	ADP
ispiv-149	152	27	at	at	ADV
ispiv-149	152	28	least	least	ADJ
ispiv-149	152	29	a	a	DET
ispiv-149	152	30	factor	factor	NOUN
ispiv-149	152	31	of	of	ADP
ispiv-149	152	32	the	the	DET
ispiv-149	152	33	order	order	NOUN
ispiv-149	152	34	of	of	ADP
ispiv-149	152	35	3	3	NUM
ispiv-149	152	36	depending	depend	VERB
ispiv-149	152	37	on	on	ADP
ispiv-149	152	38	the	the	DET
ispiv-149	152	39	chosen	choose	VERB
ispiv-149	152	40	value	value	NOUN
ispiv-149	152	41	for	for	ADP
ispiv-149	152	42	r	r	NOUN
ispiv-149	152	43	.	.	PUNCT
ispiv-149	153	1	this	this	DET
ispiv-149	153	2	result	result	NOUN
ispiv-149	153	3	is	be	AUX
ispiv-149	153	4	also	also	ADV
ispiv-149	153	5	a	a	DET
ispiv-149	153	6	by	by	ADP
ispiv-149	153	7	-	-	PUNCT
ispiv-149	153	8	product	product	NOUN
ispiv-149	153	9	of	of	ADP
ispiv-149	153	10	the	the	DET
ispiv-149	153	11	runge	runge	NOUN
ispiv-149	153	12	phenomenon	phenomenon	NOUN
ispiv-149	153	13	.	.	PUNCT
ispiv-149	154	1	for	for	ADP
ispiv-149	154	2	the	the	DET
ispiv-149	154	3	choice	choice	NOUN
ispiv-149	154	4	of	of	ADP
ispiv-149	154	5	an	an	DET
ispiv-149	154	6	optimal	optimal	ADJ
ispiv-149	154	7	value	value	NOUN
ispiv-149	154	8	of	of	ADP
ispiv-149	154	9	r	r	NOUN
ispiv-149	154	10	and	and	CCONJ
ispiv-149	154	11	an	an	DET
ispiv-149	154	12	exact	exact	ADJ
ispiv-149	154	13	or	or	CCONJ
ispiv-149	154	14	approximate	approximate	ADJ
ispiv-149	154	15	fit	fit	NOUN
ispiv-149	154	16	,	,	PUNCT
ispiv-149	154	17	some	some	DET
ispiv-149	154	18	knowledge	knowledge	NOUN
ispiv-149	154	19	on	on	ADP
ispiv-149	154	20	the	the	DET
ispiv-149	154	21	3rd	3rd	ADJ
ispiv-149	154	22	derivative	derivative	NOUN
ispiv-149	154	23	can	can	AUX
ispiv-149	154	24	be	be	AUX
ispiv-149	154	25	obtained	obtain	VERB
ispiv-149	154	26	from	from	ADP
ispiv-149	154	27	the	the	DET
ispiv-149	154	28	exact	exact	ADJ
ispiv-149	154	29	fit	fit	ADJ
ispiv-149	154	30	and	and	CCONJ
ispiv-149	154	31	compared	compare	VERB
ispiv-149	154	32	with	with	ADP
ispiv-149	154	33	the	the	DET
ispiv-149	154	34	propagation	propagation	NOUN
ispiv-149	154	35	of	of	ADP
ispiv-149	154	36	measurement	measurement	NOUN
ispiv-149	154	37	noise	noise	NOUN
ispiv-149	154	38	,	,	PUNCT
ispiv-149	154	39	however	however	ADV
ispiv-149	154	40	anticipating	anticipate	VERB
ispiv-149	154	41	the	the	DET
ispiv-149	154	42	choice	choice	NOUN
ispiv-149	154	43	of	of	ADP
ispiv-149	154	44	r	r	NOUN
ispiv-149	154	45	before	before	SCONJ
ispiv-149	154	46	an	an	DET
ispiv-149	154	47	experiment	experiment	NOUN
ispiv-149	154	48	may	may	AUX
ispiv-149	154	49	not	not	PART
ispiv-149	154	50	be	be	AUX
ispiv-149	154	51	straightforward	straightforward	ADJ
ispiv-149	154	52	unless	unless	SCONJ
ispiv-149	154	53	numerical	numerical	ADJ
ispiv-149	154	54	simulations	simulation	NOUN
ispiv-149	154	55	or	or	CCONJ
ispiv-149	154	56	theoretical	theoretical	ADJ
ispiv-149	154	57	results	result	NOUN
ispiv-149	154	58	can	can	AUX
ispiv-149	154	59	help	help	VERB
ispiv-149	154	60	estimate	estimate	VERB
ispiv-149	154	61	the	the	DET
ispiv-149	154	62	balance	balance	NOUN
ispiv-149	154	63	between	between	ADP
ispiv-149	154	64	the	the	DET
ispiv-149	154	65	two	two	NUM
ispiv-149	154	66	terms	term	NOUN
ispiv-149	154	67	.	.	PUNCT
ispiv-149	155	1	for	for	ADP
ispiv-149	155	2	higher	high	ADJ
ispiv-149	155	3	order	order	NOUN
ispiv-149	155	4	schemes	scheme	NOUN
ispiv-149	155	5	on	on	ADP
ispiv-149	155	6	mp	mp	PROPN
ispiv-149	155	7	measurement	measurement	NOUN
ispiv-149	155	8	leading	lead	VERB
ispiv-149	155	9	to	to	ADP
ispiv-149	155	10	long	long	ADJ
ispiv-149	155	11	tracks	track	NOUN
ispiv-149	155	12	,	,	PUNCT
ispiv-149	155	13	the	the	DET
ispiv-149	155	14	orders	order	NOUN
ispiv-149	155	15	of	of	ADP
ispiv-149	155	16	derivation	derivation	NOUN
ispiv-149	155	17	needed	need	VERB
ispiv-149	155	18	to	to	PART
ispiv-149	155	19	estimate	estimate	VERB
ispiv-149	155	20	the	the	DET
ispiv-149	155	21	truncation	truncation	NOUN
ispiv-149	155	22	error	error	NOUN
ispiv-149	155	23	are	be	AUX
ispiv-149	155	24	accessible	accessible	ADJ
ispiv-149	155	25	by	by	ADP
ispiv-149	155	26	simply	simply	ADV
ispiv-149	155	27	increasing	increase	VERB
ispiv-149	155	28	the	the	DET
ispiv-149	155	29	order	order	NOUN
ispiv-149	155	30	of	of	ADP
ispiv-149	155	31	the	the	DET
ispiv-149	155	32	scheme	scheme	NOUN
ispiv-149	155	33	of	of	ADP
ispiv-149	155	34	interest	interest	NOUN
ispiv-149	155	35	by	by	ADP
ispiv-149	155	36	a	a	DET
ispiv-149	155	37	few	few	ADJ
ispiv-149	155	38	units	unit	NOUN
ispiv-149	155	39	.	.	PUNCT
ispiv-149	156	1	thus	thus	ADV
ispiv-149	156	2	,	,	PUNCT
ispiv-149	156	3	and	and	CCONJ
ispiv-149	156	4	accounting	account	VERB
ispiv-149	156	5	for	for	ADP
ispiv-149	156	6	the	the	DET
ispiv-149	156	7	increased	increase	VERB
ispiv-149	156	8	error	error	NOUN
ispiv-149	156	9	propagation	propagation	NOUN
ispiv-149	156	10	due	due	ADP
ispiv-149	156	11	to	to	ADP
ispiv-149	156	12	the	the	DET
ispiv-149	156	13	runge	runge	NOUN
ispiv-149	156	14	phenomenon	phenomenon	NOUN
ispiv-149	156	15	,	,	PUNCT
ispiv-149	156	16	all	all	DET
ispiv-149	156	17	the	the	DET
ispiv-149	156	18	needed	need	VERB
ispiv-149	156	19	terms	term	NOUN
ispiv-149	156	20	can	can	AUX
ispiv-149	156	21	be	be	AUX
ispiv-149	156	22	estimated	estimate	VERB
ispiv-149	156	23	using	use	VERB
ispiv-149	156	24	:	:	PUNCT
ispiv-149	156	25	un+1	un+1	ADJ
ispiv-149	156	26	=	=	NOUN
ispiv-149	156	27	fn+1w	fn+1w	ADV
ispiv-149	156	28	nmem	nmem	VERB
ispiv-149	156	29	and	and	CCONJ
ispiv-149	156	30	∀	∀	PUNCT
ispiv-149	157	1	p	p	X
ispiv-149	157	2	>	>	X
ispiv-149	157	3	n+1	n+1	PROPN
ispiv-149	157	4	,	,	PUNCT
ispiv-149	157	5	fnw	fnw	PROPN
ispiv-149	157	6	nm	nm	PROPN
ispiv-149	157	7	am	be	AUX
ispiv-149	157	8	n+1→pdn+1→p+o(dt	n+1→pdn+1→p+o(dt	ADV
ispiv-149	157	9	p	p	NOUN
ispiv-149	157	10	)	)	PUNCT
ispiv-149	157	11	.	.	PUNCT
ispiv-149	158	1	in	in	ADP
ispiv-149	158	2	order	order	NOUN
ispiv-149	158	3	to	to	PART
ispiv-149	158	4	obtain	obtain	VERB
ispiv-149	158	5	higher	high	ADJ
ispiv-149	158	6	order	order	NOUN
ispiv-149	158	7	reference	reference	NOUN
ispiv-149	158	8	derivatives	derivative	NOUN
ispiv-149	158	9	,	,	PUNCT
ispiv-149	158	10	trajectories	trajectory	NOUN
ispiv-149	158	11	may	may	AUX
ispiv-149	158	12	be	be	AUX
ispiv-149	158	13	approximated	approximate	VERB
ispiv-149	158	14	by	by	ADP
ispiv-149	158	15	alternative	alternative	ADJ
ispiv-149	158	16	,	,	PUNCT
ispiv-149	158	17	non	non	ADJ
ispiv-149	158	18	-	-	ADJ
ispiv-149	158	19	polynomial	polynomial	ADJ
ispiv-149	158	20	functions	function	NOUN
ispiv-149	158	21	.	.	PUNCT
ispiv-149	159	1	however	however	ADV
ispiv-149	159	2	,	,	PUNCT
ispiv-149	159	3	the	the	DET
ispiv-149	159	4	large	large	ADJ
ispiv-149	159	5	spectrum	spectrum	NOUN
ispiv-149	159	6	of	of	ADP
ispiv-149	159	7	possibilities	possibility	NOUN
ispiv-149	159	8	does	do	AUX
ispiv-149	159	9	n’t	not	PART
ispiv-149	159	10	help	help	VERB
ispiv-149	159	11	14th	14th	ADJ
ispiv-149	159	12	international	international	ADJ
ispiv-149	159	13	symposium	symposium	NOUN
ispiv-149	159	14	on	on	ADP
ispiv-149	159	15	particle	particle	NOUN
ispiv-149	159	16	image	image	NOUN
ispiv-149	159	17	velocimetry	velocimetry	NOUN
ispiv-149	159	18	–	–	PUNCT
ispiv-149	159	19	ispiv	ispiv	NOUN
ispiv-149	159	20	2021	2021	NUM
ispiv-149	159	21	august	august	PROPN
ispiv-149	159	22	1	1	NUM
ispiv-149	159	23	-	-	SYM
ispiv-149	159	24	5	5	NUM
ispiv-149	159	25	,	,	PUNCT
ispiv-149	159	26	2021	2021	NUM
ispiv-149	159	27	providing	provide	VERB
ispiv-149	159	28	the	the	DET
ispiv-149	159	29	most	most	ADV
ispiv-149	159	30	appropriate	appropriate	ADJ
ispiv-149	159	31	formulation	formulation	NOUN
ispiv-149	159	32	.	.	PUNCT
ispiv-149	160	1	analytical	analytical	ADJ
ispiv-149	160	2	flow	flow	NOUN
ispiv-149	160	3	solutions	solution	NOUN
ispiv-149	160	4	,	,	PUNCT
ispiv-149	160	5	though	though	SCONJ
ispiv-149	160	6	limited	limit	VERB
ispiv-149	160	7	to	to	AUX
ispiv-149	160	8	idealized	idealized	ADJ
ispiv-149	160	9	or	or	CCONJ
ispiv-149	160	10	approximate	approximate	ADJ
ispiv-149	160	11	configurations	configuration	NOUN
ispiv-149	160	12	,	,	PUNCT
ispiv-149	160	13	may	may	AUX
ispiv-149	160	14	provide	provide	VERB
ispiv-149	160	15	the	the	DET
ispiv-149	160	16	relevant	relevant	ADJ
ispiv-149	160	17	results	result	NOUN
ispiv-149	160	18	for	for	ADP
ispiv-149	160	19	a	a	DET
ispiv-149	160	20	given	give	VERB
ispiv-149	160	21	situation	situation	NOUN
ispiv-149	160	22	.	.	PUNCT
ispiv-149	161	1	a	a	DET
ispiv-149	161	2	few	few	ADJ
ispiv-149	161	3	examples	example	NOUN
ispiv-149	161	4	are	be	AUX
ispiv-149	161	5	proposed	propose	VERB
ispiv-149	161	6	below	below	ADV
ispiv-149	161	7	.	.	PUNCT
ispiv-149	162	1	3.3.3	3.3.3	NUM
ispiv-149	162	2	error	error	NOUN
ispiv-149	162	3	estimates	estimate	NOUN
ispiv-149	162	4	from	from	ADP
ispiv-149	162	5	analytical	analytical	ADJ
ispiv-149	162	6	trajectories	trajectory	NOUN
ispiv-149	162	7	finite	finite	VERB
ispiv-149	162	8	difference	difference	NOUN
ispiv-149	162	9	schemes	scheme	NOUN
ispiv-149	162	10	and	and	CCONJ
ispiv-149	162	11	error	error	NOUN
ispiv-149	162	12	estimates	estimate	NOUN
ispiv-149	162	13	as	as	SCONJ
ispiv-149	162	14	obtained	obtain	VERB
ispiv-149	162	15	from	from	ADP
ispiv-149	162	16	the	the	DET
ispiv-149	162	17	above	above	ADJ
ispiv-149	162	18	formulations	formulation	NOUN
ispiv-149	162	19	may	may	AUX
ispiv-149	162	20	be	be	AUX
ispiv-149	162	21	benchmarked	benchmarke	VERB
ispiv-149	162	22	against	against	ADP
ispiv-149	162	23	known	know	VERB
ispiv-149	162	24	trajectories	trajectory	NOUN
ispiv-149	162	25	from	from	ADP
ispiv-149	162	26	which	which	PRON
ispiv-149	162	27	any	any	DET
ispiv-149	162	28	order	order	NOUN
ispiv-149	162	29	of	of	ADP
ispiv-149	162	30	differentiation	differentiation	NOUN
ispiv-149	162	31	can	can	AUX
ispiv-149	162	32	be	be	AUX
ispiv-149	162	33	expressed	express	VERB
ispiv-149	162	34	.	.	PUNCT
ispiv-149	163	1	apart	apart	ADV
ispiv-149	163	2	for	for	ADP
ispiv-149	163	3	specific	specific	ADJ
ispiv-149	163	4	cases	case	NOUN
ispiv-149	163	5	in	in	ADP
ispiv-149	163	6	which	which	PRON
ispiv-149	163	7	vanishing	vanish	VERB
ispiv-149	163	8	derivatives	derivative	NOUN
ispiv-149	163	9	are	be	AUX
ispiv-149	163	10	a	a	DET
ispiv-149	163	11	constitutive	constitutive	ADJ
ispiv-149	163	12	property	property	NOUN
ispiv-149	163	13	,	,	PUNCT
ispiv-149	163	14	such	such	ADJ
ispiv-149	163	15	as	as	ADP
ispiv-149	163	16	,	,	PUNCT
ispiv-149	163	17	e.g	e.g	PROPN
ispiv-149	163	18	,	,	PUNCT
ispiv-149	163	19	resting	resting	NOUN
ispiv-149	163	20	,	,	PUNCT
ispiv-149	163	21	uniform	uniform	ADJ
ispiv-149	163	22	or	or	CCONJ
ispiv-149	163	23	unidirectional	unidirectional	ADJ
ispiv-149	163	24	flow	flow	NOUN
ispiv-149	163	25	,	,	PUNCT
ispiv-149	163	26	free	free	ADJ
ispiv-149	163	27	fall	fall	NOUN
ispiv-149	163	28	,	,	PUNCT
ispiv-149	163	29	etc	etc	X
ispiv-149	163	30	.	.	X
ispiv-149	163	31	,	,	PUNCT
ispiv-149	163	32	non	non	ADJ
ispiv-149	163	33	-	-	ADJ
ispiv-149	163	34	polynomial	polynomial	ADJ
ispiv-149	163	35	analytic	analytic	ADJ
ispiv-149	163	36	trajectories	trajectory	NOUN
ispiv-149	163	37	can	can	AUX
ispiv-149	163	38	provide	provide	VERB
ispiv-149	163	39	the	the	DET
ispiv-149	163	40	derivatives	derivative	NOUN
ispiv-149	163	41	needed	need	VERB
ispiv-149	163	42	to	to	PART
ispiv-149	163	43	qualify	qualify	VERB
ispiv-149	163	44	a	a	DET
ispiv-149	163	45	given	give	VERB
ispiv-149	163	46	differentiation	differentiation	NOUN
ispiv-149	163	47	scheme	scheme	NOUN
ispiv-149	163	48	.	.	PUNCT
ispiv-149	164	1	basic	basic	ADJ
ispiv-149	164	2	non	non	ADJ
ispiv-149	164	3	-	-	ADJ
ispiv-149	164	4	polynomial	polynomial	ADJ
ispiv-149	164	5	examples	example	NOUN
ispiv-149	164	6	can	can	AUX
ispiv-149	164	7	be	be	AUX
ispiv-149	164	8	found	find	VERB
ispiv-149	164	9	from	from	ADP
ispiv-149	164	10	potential	potential	ADJ
ispiv-149	164	11	flows	flow	NOUN
ispiv-149	164	12	,	,	PUNCT
ispiv-149	164	13	such	such	ADJ
ispiv-149	164	14	as	as	ADP
ispiv-149	164	15	the	the	DET
ispiv-149	164	16	isolated	isolated	ADJ
ispiv-149	164	17	vortex	vortex	NOUN
ispiv-149	164	18	or	or	CCONJ
ispiv-149	164	19	normal	normal	ADJ
ispiv-149	164	20	stagnation	stagnation	NOUN
ispiv-149	164	21	points	point	NOUN
ispiv-149	164	22	which	which	PRON
ispiv-149	164	23	provide	provide	VERB
ispiv-149	164	24	trajectories	trajectory	NOUN
ispiv-149	164	25	as	as	ADP
ispiv-149	164	26	steady	steady	ADJ
ispiv-149	164	27	state	state	NOUN
ispiv-149	164	28	streamlines	streamline	NOUN
ispiv-149	164	29	.	.	PUNCT
ispiv-149	165	1	unsteady	unsteady	ADJ
ispiv-149	165	2	potential	potential	ADJ
ispiv-149	165	3	flows	flow	NOUN
ispiv-149	165	4	and	and	CCONJ
ispiv-149	165	5	the	the	DET
ispiv-149	165	6	corresponding	corresponding	ADJ
ispiv-149	165	7	trajectories	trajectory	NOUN
ispiv-149	165	8	can	can	AUX
ispiv-149	165	9	also	also	ADV
ispiv-149	165	10	be	be	AUX
ispiv-149	165	11	obtained	obtain	VERB
ispiv-149	165	12	by	by	ADP
ispiv-149	165	13	imposing	impose	VERB
ispiv-149	165	14	time	time	NOUN
ispiv-149	165	15	-	-	PUNCT
ispiv-149	165	16	dependent	dependent	ADJ
ispiv-149	165	17	parameters	parameter	NOUN
ispiv-149	165	18	.	.	PUNCT
ispiv-149	166	1	stream	stream	NOUN
ispiv-149	166	2	-	-	PUNCT
ispiv-149	166	3	functions	function	NOUN
ispiv-149	166	4	can	can	AUX
ispiv-149	166	5	also	also	ADV
ispiv-149	166	6	provide	provide	VERB
ispiv-149	166	7	integrable	integrable	ADJ
ispiv-149	166	8	analytical	analytical	ADJ
ispiv-149	166	9	solutions	solution	NOUN
ispiv-149	166	10	for	for	ADP
ispiv-149	166	11	a	a	DET
ispiv-149	166	12	variety	variety	NOUN
ispiv-149	166	13	of	of	ADP
ispiv-149	166	14	2d	2d	NUM
ispiv-149	166	15	viscous	viscous	ADJ
ispiv-149	166	16	flows	flow	NOUN
ispiv-149	166	17	,	,	PUNCT
ispiv-149	166	18	including	include	VERB
ispiv-149	166	19	boundary	boundary	ADJ
ispiv-149	166	20	layers	layer	NOUN
ispiv-149	166	21	(	(	PUNCT
ispiv-149	166	22	blasius	blasius	NOUN
ispiv-149	166	23	,	,	PUNCT
ispiv-149	166	24	1908	1908	NUM
ispiv-149	166	25	)	)	PUNCT
ispiv-149	166	26	and	and	CCONJ
ispiv-149	166	27	non	non	ADJ
ispiv-149	166	28	-	-	ADJ
ispiv-149	166	29	orthogonal	orthogonal	ADJ
ispiv-149	166	30	stagnation	stagnation	NOUN
ispiv-149	166	31	points	point	NOUN
ispiv-149	166	32	(	(	PUNCT
ispiv-149	166	33	dorrepal	dorrepal	NOUN
ispiv-149	166	34	,	,	PUNCT
ispiv-149	166	35	1986	1986	NUM
ispiv-149	166	36	)	)	PUNCT
ispiv-149	166	37	.	.	PUNCT
ispiv-149	167	1	however	however	ADV
ispiv-149	167	2	,	,	PUNCT
ispiv-149	167	3	in	in	ADP
ispiv-149	167	4	many	many	ADJ
ispiv-149	167	5	formulations	formulation	NOUN
ispiv-149	167	6	,	,	PUNCT
ispiv-149	167	7	explicit	explicit	ADJ
ispiv-149	167	8	time	time	NOUN
ispiv-149	167	9	-	-	PUNCT
ispiv-149	167	10	dependent	dependent	ADJ
ispiv-149	167	11	trajectories	trajectory	NOUN
ispiv-149	167	12	can	can	AUX
ispiv-149	167	13	not	not	PART
ispiv-149	167	14	be	be	AUX
ispiv-149	167	15	found	find	VERB
ispiv-149	167	16	and	and	CCONJ
ispiv-149	167	17	must	must	AUX
ispiv-149	167	18	be	be	AUX
ispiv-149	167	19	numerically	numerically	ADV
ispiv-149	167	20	integrated	integrate	VERB
ispiv-149	167	21	,	,	PUNCT
ispiv-149	167	22	leading	lead	VERB
ispiv-149	167	23	to	to	ADP
ispiv-149	167	24	additional	additional	ADJ
ispiv-149	167	25	error	error	NOUN
ispiv-149	167	26	terms	term	NOUN
ispiv-149	167	27	,	,	PUNCT
ispiv-149	167	28	though	though	SCONJ
ispiv-149	167	29	the	the	DET
ispiv-149	167	30	successive	successive	ADJ
ispiv-149	167	31	derivatives	derivative	NOUN
ispiv-149	167	32	remain	remain	VERB
ispiv-149	167	33	accessible	accessible	ADJ
ispiv-149	167	34	.	.	PUNCT
ispiv-149	168	1	a	a	DET
ispiv-149	168	2	universal	universal	ADJ
ispiv-149	168	3	illustration	illustration	NOUN
ispiv-149	168	4	is	be	AUX
ispiv-149	168	5	provided	provide	VERB
ispiv-149	168	6	by	by	ADP
ispiv-149	168	7	the	the	DET
ispiv-149	168	8	isolated	isolate	VERB
ispiv-149	168	9	vortex	vortex	NOUN
ispiv-149	168	10	for	for	ADP
ispiv-149	168	11	which	which	PRON
ispiv-149	168	12	trajectories	trajectory	NOUN
ispiv-149	168	13	are	be	AUX
ispiv-149	168	14	described	describe	VERB
ispiv-149	168	15	by	by	ADP
ispiv-149	168	16	harmonic	harmonic	ADJ
ispiv-149	168	17	terms	term	NOUN
ispiv-149	168	18	,	,	PUNCT
ispiv-149	168	19	with	with	ADP
ispiv-149	168	20	or	or	CCONJ
ispiv-149	168	21	without	without	ADP
ispiv-149	168	22	advection	advection	NOUN
ispiv-149	168	23	velocity	velocity	NOUN
ispiv-149	168	24	,	,	PUNCT
ispiv-149	168	25	to	to	PART
ispiv-149	168	26	provide	provide	VERB
ispiv-149	168	27	circular	circular	ADJ
ispiv-149	168	28	or	or	CCONJ
ispiv-149	168	29	cycloid	cycloid	NOUN
ispiv-149	168	30	-	-	PUNCT
ispiv-149	168	31	like	like	ADJ
ispiv-149	168	32	tracks	track	NOUN
ispiv-149	168	33	.	.	PUNCT
ispiv-149	169	1	the	the	DET
ispiv-149	169	2	truncation	truncation	NOUN
ispiv-149	169	3	terms	term	NOUN
ispiv-149	169	4	are	be	AUX
ispiv-149	169	5	therefore	therefore	ADV
ispiv-149	169	6	obtained	obtain	VERB
ispiv-149	169	7	from	from	ADP
ispiv-149	169	8	the	the	DET
ispiv-149	169	9	harmonic	harmonic	ADJ
ispiv-149	169	10	terms	term	NOUN
ispiv-149	169	11	around	around	ADP
ispiv-149	169	12	the	the	DET
ispiv-149	169	13	measurement	measurement	NOUN
ispiv-149	169	14	instant	instant	NOUN
ispiv-149	169	15	.	.	PUNCT
ispiv-149	170	1	for	for	ADP
ispiv-149	170	2	example	example	NOUN
ispiv-149	170	3	,	,	PUNCT
ispiv-149	170	4	expanding	expand	VERB
ispiv-149	170	5	∀	∀	NOUN
ispiv-149	170	6	τk	τk	ADP
ispiv-149	170	7	,	,	PUNCT
ispiv-149	170	8	γ(t+	γ(t+	NOUN
ispiv-149	170	9	τk)∝sin(ω(t+τk	τk)∝sin(ω(t+τk	ADJ
ispiv-149	170	10	)	)	PUNCT
ispiv-149	170	11	)	)	PUNCT
ispiv-149	170	12	and	and	CCONJ
ispiv-149	170	13	applying	apply	VERB
ispiv-149	170	14	the	the	DET
ispiv-149	170	15	desired	desire	VERB
ispiv-149	170	16	finite	finite	ADJ
ispiv-149	170	17	difference	difference	NOUN
ispiv-149	170	18	scheme	scheme	NOUN
ispiv-149	170	19	,	,	PUNCT
ispiv-149	170	20	then	then	ADV
ispiv-149	170	21	substracting	substracte	VERB
ispiv-149	170	22	the	the	DET
ispiv-149	170	23	taylor	taylor	PROPN
ispiv-149	170	24	terms	term	NOUN
ispiv-149	170	25	,	,	PUNCT
ispiv-149	170	26	will	will	AUX
ispiv-149	170	27	yield	yield	VERB
ispiv-149	170	28	and	and	CCONJ
ispiv-149	170	29	exact	exact	ADJ
ispiv-149	170	30	expression	expression	NOUN
ispiv-149	170	31	of	of	ADP
ispiv-149	170	32	the	the	DET
ispiv-149	170	33	truncated	truncated	ADJ
ispiv-149	170	34	terms	term	NOUN
ispiv-149	170	35	.	.	PUNCT
ispiv-149	171	1	similarly	similarly	ADV
ispiv-149	171	2	,	,	PUNCT
ispiv-149	171	3	the	the	DET
ispiv-149	171	4	2d	2d	NUM
ispiv-149	171	5	inviscid	inviscid	ADJ
ispiv-149	171	6	flow	flow	NOUN
ispiv-149	171	7	normally	normally	ADV
ispiv-149	171	8	impinging	impinge	VERB
ispiv-149	171	9	on	on	ADP
ispiv-149	171	10	a	a	DET
ispiv-149	171	11	flat	flat	ADJ
ispiv-149	171	12	plate	plate	NOUN
ispiv-149	171	13	is	be	AUX
ispiv-149	171	14	represented	represent	VERB
ispiv-149	171	15	by	by	ADP
ispiv-149	171	16	potential	potential	ADJ
ispiv-149	171	17	φ	φ	PROPN
ispiv-149	171	18	∝	∝	PROPN
ispiv-149	171	19	x2	x2	PROPN
ispiv-149	172	1	−	−	PROPN
ispiv-149	172	2	y2	y2	INTJ
ispiv-149	172	3	,	,	PUNCT
ispiv-149	172	4	stream	stream	NOUN
ispiv-149	172	5	-	-	PUNCT
ispiv-149	172	6	function	function	NOUN
ispiv-149	172	7	ψ	ψ	X
ispiv-149	172	8	∝	∝	PROPN
ispiv-149	172	9	xy	xy	PROPN
ispiv-149	172	10	or	or	CCONJ
ispiv-149	172	11	potential	potential	ADJ
ispiv-149	172	12	f	f	X
ispiv-149	172	13	(	(	PUNCT
ispiv-149	172	14	z)∝z2	z)∝z2	PROPN
ispiv-149	172	15	in	in	ADP
ispiv-149	172	16	complex	complex	ADJ
ispiv-149	172	17	formulation	formulation	NOUN
ispiv-149	172	18	,	,	PUNCT
ispiv-149	172	19	leading	lead	VERB
ispiv-149	172	20	to	to	ADP
ispiv-149	172	21	exponential	exponential	ADJ
ispiv-149	172	22	streamlines	streamline	NOUN
ispiv-149	172	23	that	that	PRON
ispiv-149	172	24	can	can	AUX
ispiv-149	172	25	be	be	AUX
ispiv-149	172	26	expanded	expand	VERB
ispiv-149	172	27	around	around	ADP
ispiv-149	172	28	the	the	DET
ispiv-149	172	29	measurement	measurement	NOUN
ispiv-149	172	30	instant	instant	NOUN
ispiv-149	172	31	using	use	VERB
ispiv-149	172	32	hyperbolic	hyperbolic	ADJ
ispiv-149	172	33	functions	function	NOUN
ispiv-149	172	34	.	.	PUNCT
ispiv-149	173	1	despite	despite	SCONJ
ispiv-149	173	2	its	its	PRON
ispiv-149	173	3	simplicity	simplicity	NOUN
ispiv-149	173	4	,	,	PUNCT
ispiv-149	173	5	this	this	DET
ispiv-149	173	6	potential	potential	NOUN
ispiv-149	173	7	is	be	AUX
ispiv-149	173	8	representative	representative	NOUN
ispiv-149	173	9	of	of	ADP
ispiv-149	173	10	the	the	DET
ispiv-149	173	11	flow	flow	NOUN
ispiv-149	173	12	in	in	ADP
ispiv-149	173	13	the	the	DET
ispiv-149	173	14	close	close	ADJ
ispiv-149	173	15	vicinity	vicinity	NOUN
ispiv-149	173	16	of	of	ADP
ispiv-149	173	17	stagnation	stagnation	NOUN
ispiv-149	173	18	or	or	CCONJ
ispiv-149	173	19	separation	separation	NOUN
ispiv-149	173	20	points	point	NOUN
ispiv-149	173	21	on	on	ADP
ispiv-149	173	22	cylinders	cylinder	NOUN
ispiv-149	173	23	or	or	CCONJ
ispiv-149	173	24	wing	wing	NOUN
ispiv-149	173	25	profiles	profile	NOUN
ispiv-149	173	26	.	.	PUNCT
ispiv-149	174	1	for	for	ADP
ispiv-149	174	2	example	example	NOUN
ispiv-149	174	3	,	,	PUNCT
ispiv-149	174	4	the	the	DET
ispiv-149	174	5	2d	2d	NUM
ispiv-149	174	6	complex	complex	ADJ
ispiv-149	174	7	potential	potential	NOUN
ispiv-149	174	8	of	of	ADP
ispiv-149	174	9	the	the	DET
ispiv-149	174	10	flow	flow	NOUN
ispiv-149	174	11	around	around	ADP
ispiv-149	174	12	a	a	DET
ispiv-149	174	13	cylinder	cylinder	NOUN
ispiv-149	174	14	,	,	PUNCT
ispiv-149	174	15	yields	yield	NOUN
ispiv-149	174	16	near	near	ADP
ispiv-149	174	17	the	the	DET
ispiv-149	174	18	stagnation	stagnation	NOUN
ispiv-149	174	19	point	point	NOUN
ispiv-149	174	20	:	:	PUNCT
ispiv-149	174	21	f	f	X
ispiv-149	174	22	(	(	PUNCT
ispiv-149	174	23	z)=u	z)=u	X
ispiv-149	174	24	0	0	NUM
ispiv-149	174	25	(	(	PUNCT
ispiv-149	174	26	z+	z+	NUM
ispiv-149	174	27	a2	a2	PROPN
ispiv-149	174	28	z−a	z−a	PROPN
ispiv-149	174	29	)	)	PUNCT
ispiv-149	174	30	:	:	PUNCT
ispiv-149	175	1	f	f	X
ispiv-149	175	2	(	(	PUNCT
ispiv-149	175	3	z	z	NOUN
ispiv-149	175	4	)	)	PUNCT
ispiv-149	175	5	→	→	SYM
ispiv-149	175	6	z→0	z→0	X
ispiv-149	175	7	−u	−u	PROPN
ispiv-149	175	8	0	0	PUNCT
ispiv-149	175	9	z2	z2	PROPN
ispiv-149	175	10	a	a	PRON
ispiv-149	175	11	,	,	PUNCT
ispiv-149	175	12	locally	locally	ADV
ispiv-149	175	13	leading	lead	VERB
ispiv-149	175	14	to	to	ADP
ispiv-149	175	15	exponential	exponential	ADJ
ispiv-149	175	16	trajectories	trajectory	NOUN
ispiv-149	175	17	.	.	PUNCT
ispiv-149	176	1	this	this	PRON
ispiv-149	176	2	can	can	AUX
ispiv-149	176	3	be	be	AUX
ispiv-149	176	4	extended	extend	VERB
ispiv-149	176	5	to	to	ADP
ispiv-149	176	6	non	non	ADJ
ispiv-149	176	7	-	-	ADJ
ispiv-149	176	8	orthogonal	orthogonal	ADJ
ispiv-149	176	9	impingement	impingement	NOUN
ispiv-149	176	10	using	use	VERB
ispiv-149	176	11	a	a	DET
ispiv-149	176	12	stream	stream	NOUN
ispiv-149	176	13	-	-	PUNCT
ispiv-149	176	14	function	function	NOUN
ispiv-149	176	15	of	of	ADP
ispiv-149	176	16	type	type	NOUN
ispiv-149	176	17	ψ	ψ	X
ispiv-149	176	18	∝	∝	NOUN
ispiv-149	176	19	1	1	NUM
ispiv-149	176	20	2	2	NUM
ispiv-149	176	21	y	y	PROPN
ispiv-149	176	22	2	2	NUM
ispiv-149	176	23	cosα+xy	cosα+xy	PRON
ispiv-149	176	24	sinα	sinα	VERB
ispiv-149	176	25	to	to	PART
ispiv-149	176	26	provide	provide	VERB
ispiv-149	176	27	combinations	combination	NOUN
ispiv-149	176	28	of	of	ADP
ispiv-149	176	29	exponential	exponential	ADJ
ispiv-149	176	30	trajectories	trajectory	NOUN
ispiv-149	176	31	of	of	ADP
ispiv-149	176	32	type	type	NOUN
ispiv-149	176	33	:	:	PUNCT
ispiv-149	176	34	x	x	X
ispiv-149	176	35	=	=	NOUN
ispiv-149	176	36	x0e	x0e	PROPN
ispiv-149	176	37	t	t	PROPN
ispiv-149	176	38	t	t	PROPN
ispiv-149	176	39	sinα	sinα	NOUN
ispiv-149	176	40	+	+	CCONJ
ispiv-149	176	41	1	1	NUM
ispiv-149	176	42	2	2	NUM
ispiv-149	176	43	y0	y0	NOUN
ispiv-149	176	44	cotα	cotα	NOUN
ispiv-149	176	45	sh	sh	INTJ
ispiv-149	176	46	(	(	PUNCT
ispiv-149	176	47	tt	tt	PROPN
ispiv-149	176	48	sinα	sinα	PROPN
ispiv-149	176	49	)	)	PUNCT
ispiv-149	176	50	;	;	PUNCT
ispiv-149	176	51	y=	y=	NUM
ispiv-149	177	1	y0	y0	NOUN
ispiv-149	177	2	e	e	NOUN
ispiv-149	177	3	−	−	PROPN
ispiv-149	177	4	t	t	PROPN
ispiv-149	177	5	t	t	PROPN
ispiv-149	177	6	sinα	sinα	NOUN
ispiv-149	177	7	.	.	PUNCT
ispiv-149	178	1	finally	finally	ADV
ispiv-149	178	2	,	,	PUNCT
ispiv-149	178	3	in	in	ADP
ispiv-149	178	4	the	the	DET
ispiv-149	178	5	close	close	ADJ
ispiv-149	178	6	vicinity	vicinity	NOUN
ispiv-149	178	7	of	of	ADP
ispiv-149	178	8	a	a	DET
ispiv-149	178	9	flat	flat	ADJ
ispiv-149	178	10	plate	plate	NOUN
ispiv-149	178	11	,	,	PUNCT
ispiv-149	178	12	the	the	DET
ispiv-149	178	13	blasius	blasius	ADJ
ispiv-149	178	14	boundary	boundary	ADJ
ispiv-149	178	15	layer	layer	NOUN
ispiv-149	178	16	classically	classically	ADV
ispiv-149	178	17	represented	represent	VERB
ispiv-149	178	18	by	by	ADP
ispiv-149	178	19	the	the	DET
ispiv-149	178	20	stream	stream	NOUN
ispiv-149	178	21	-	-	PUNCT
ispiv-149	178	22	function	function	NOUN
ispiv-149	178	23	ψ	ψ	NOUN
ispiv-149	178	24	(	(	PUNCT
ispiv-149	178	25	x	x	INTJ
ispiv-149	178	26	,	,	PUNCT
ispiv-149	178	27	y	y	PROPN
ispiv-149	178	28	)	)	PUNCT
ispiv-149	179	1	=	=	SYM
ispiv-149	179	2	δ(x	δ(x	NOUN
ispiv-149	179	3	)	)	PUNCT
ispiv-149	179	4	u	u	NOUN
ispiv-149	179	5	f	f	PROPN
ispiv-149	179	6	(	(	PUNCT
ispiv-149	179	7	y	y	PROPN
ispiv-149	179	8	/	/	SYM
ispiv-149	179	9	δ	δ	PROPN
ispiv-149	179	10	(	(	PUNCT
ispiv-149	179	11	x	x	NOUN
ispiv-149	179	12	)	)	PUNCT
ispiv-149	179	13	)	)	PUNCT
ispiv-149	179	14	leads	lead	VERB
ispiv-149	179	15	to	to	ADP
ispiv-149	179	16	power	power	NOUN
ispiv-149	179	17	-	-	PUNCT
ispiv-149	179	18	law	law	NOUN
ispiv-149	179	19	trajectories	trajectory	NOUN
ispiv-149	179	20	:	:	PUNCT
ispiv-149	179	21	x	x	X
ispiv-149	179	22	=	=	NOUN
ispiv-149	179	23	x0	x0	PROPN
ispiv-149	179	24	(	(	PUNCT
ispiv-149	179	25	1	1	NUM
ispiv-149	179	26	+	+	NUM
ispiv-149	179	27	5	5	NUM
ispiv-149	179	28	4	4	NUM
ispiv-149	179	29	u	u	NOUN
ispiv-149	179	30	√re0	√re0	NOUN
ispiv-149	179	31	y0	y0	NOUN
ispiv-149	179	32	x	x	SYM
ispiv-149	179	33	0	0	NUM
ispiv-149	179	34	2	2	NUM
ispiv-149	179	35	α	α	NOUN
ispiv-149	179	36	τ	τ	PROPN
ispiv-149	179	37	)	)	PUNCT
ispiv-149	179	38	4/	4/	NUM
ispiv-149	179	39	5	5	NUM
ispiv-149	179	40	;	;	PUNCT
ispiv-149	179	41	y=	y=	NUM
ispiv-149	179	42	y0	y0	PROPN
ispiv-149	179	43	(	(	PUNCT
ispiv-149	179	44	1	1	NUM
ispiv-149	179	45	+	+	NUM
ispiv-149	179	46	5	5	NUM
ispiv-149	179	47	4	4	NUM
ispiv-149	179	48	y0	y0	NUM
ispiv-149	179	49	x	x	SYM
ispiv-149	179	50	0	0	NUM
ispiv-149	179	51	2	2	NUM
ispiv-149	179	52	u	u	NOUN
ispiv-149	179	53	√re0α	√re0α	NOUN
ispiv-149	179	54	τ	τ	NOUN
ispiv-149	179	55	)	)	PUNCT
ispiv-149	179	56	1/5	1/5	NUM
ispiv-149	179	57	14th	14th	NOUN
ispiv-149	179	58	international	international	ADJ
ispiv-149	179	59	symposium	symposium	NOUN
ispiv-149	179	60	on	on	ADP
ispiv-149	179	61	particle	particle	NOUN
ispiv-149	179	62	image	image	NOUN
ispiv-149	179	63	velocimetry	velocimetry	NOUN
ispiv-149	179	64	–	–	PUNCT
ispiv-149	179	65	ispiv	ispiv	NOUN
ispiv-149	179	66	2021	2021	NUM
ispiv-149	179	67	august	august	PROPN
ispiv-149	179	68	1	1	NUM
ispiv-149	179	69	-	-	SYM
ispiv-149	179	70	5	5	NUM
ispiv-149	179	71	,	,	PUNCT
ispiv-149	179	72	2021	2021	NUM
ispiv-149	179	73	for	for	ADP
ispiv-149	179	74	f	f	PROPN
ispiv-149	179	75	(	(	PUNCT
ispiv-149	179	76	η)=1	η)=1	ADV
ispiv-149	179	77	2	2	NUM
ispiv-149	179	78	αη	αη	ADP
ispiv-149	179	79	2	2	NUM
ispiv-149	179	80	+	+	NOUN
ispiv-149	179	81	o(η5	o(η5	ADJ
ispiv-149	179	82	)	)	PUNCT
ispiv-149	179	83	and	and	CCONJ
ispiv-149	179	84	y≪δ	y≪δ	PROPN
ispiv-149	179	85	(	(	PUNCT
ispiv-149	179	86	x	x	X
ispiv-149	179	87	)	)	PUNCT
ispiv-149	179	88	.	.	PUNCT
ispiv-149	180	1	since	since	SCONJ
ispiv-149	180	2	ptv	ptv	PROPN
ispiv-149	180	3	or	or	CCONJ
ispiv-149	180	4	lpt	lpt	PROPN
ispiv-149	180	5	shall	shall	AUX
ispiv-149	180	6	be	be	AUX
ispiv-149	180	7	preferred	prefer	VERB
ispiv-149	180	8	to	to	ADP
ispiv-149	180	9	piv	piv	NOUN
ispiv-149	180	10	measurements	measurement	NOUN
ispiv-149	180	11	in	in	ADP
ispiv-149	180	12	order	order	NOUN
ispiv-149	180	13	to	to	PART
ispiv-149	180	14	resolve	resolve	VERB
ispiv-149	180	15	near	near	ADP
ispiv-149	180	16	wall	wall	PROPN
ispiv-149	180	17	velocity	velocity	NOUN
ispiv-149	180	18	fields	field	NOUN
ispiv-149	180	19	(	(	PUNCT
ispiv-149	180	20	kaelher	kaelher	NOUN
ispiv-149	180	21	,	,	PUNCT
ispiv-149	180	22	2012	2012	NUM
ispiv-149	180	23	)	)	PUNCT
ispiv-149	180	24	,	,	PUNCT
ispiv-149	180	25	this	this	DET
ispiv-149	180	26	last	last	ADJ
ispiv-149	180	27	formulation	formulation	NOUN
ispiv-149	180	28	may	may	AUX
ispiv-149	180	29	be	be	AUX
ispiv-149	180	30	used	use	VERB
ispiv-149	180	31	to	to	PART
ispiv-149	180	32	predict	predict	VERB
ispiv-149	180	33	uncertainty	uncertainty	NOUN
ispiv-149	180	34	on	on	ADP
ispiv-149	180	35	a	a	DET
ispiv-149	180	36	planned	planned	ADJ
ispiv-149	180	37	measurement	measurement	NOUN
ispiv-149	180	38	,	,	PUNCT
ispiv-149	180	39	or	or	CCONJ
ispiv-149	180	40	to	to	PART
ispiv-149	180	41	fit	fit	VERB
ispiv-149	180	42	and	and	CCONJ
ispiv-149	180	43	qualify	qualify	VERB
ispiv-149	180	44	existing	exist	VERB
ispiv-149	180	45	results	result	NOUN
ispiv-149	180	46	.	.	PUNCT
ispiv-149	181	1	4	4	NUM
ispiv-149	181	2	conclusion	conclusion	NOUN
ispiv-149	181	3	although	although	SCONJ
ispiv-149	181	4	finite	finite	ADJ
ispiv-149	181	5	differences	difference	NOUN
ispiv-149	181	6	schemes	scheme	NOUN
ispiv-149	181	7	are	be	AUX
ispiv-149	181	8	long	long	ADV
ispiv-149	181	9	known	know	VERB
ispiv-149	181	10	and	and	CCONJ
ispiv-149	181	11	widely	widely	ADV
ispiv-149	181	12	used	use	VERB
ispiv-149	181	13	in	in	ADP
ispiv-149	181	14	the	the	DET
ispiv-149	181	15	scientific	scientific	ADJ
ispiv-149	181	16	communities	community	NOUN
ispiv-149	181	17	for	for	ADP
ispiv-149	181	18	experimental	experimental	ADJ
ispiv-149	181	19	and	and	CCONJ
ispiv-149	181	20	numerical	numerical	ADJ
ispiv-149	181	21	studies	study	NOUN
ispiv-149	181	22	,	,	PUNCT
ispiv-149	181	23	little	little	ADJ
ispiv-149	181	24	attention	attention	NOUN
ispiv-149	181	25	is	be	AUX
ispiv-149	181	26	generally	generally	ADV
ispiv-149	181	27	paid	pay	VERB
ispiv-149	181	28	to	to	ADP
ispiv-149	181	29	their	their	PRON
ispiv-149	181	30	content	content	NOUN
ispiv-149	181	31	in	in	ADP
ispiv-149	181	32	terms	term	NOUN
ispiv-149	181	33	of	of	ADP
ispiv-149	181	34	error	error	NOUN
ispiv-149	181	35	propagation	propagation	NOUN
ispiv-149	181	36	and	and	CCONJ
ispiv-149	181	37	actual	actual	ADJ
ispiv-149	181	38	truncation	truncation	NOUN
ispiv-149	181	39	terms	term	NOUN
ispiv-149	181	40	,	,	PUNCT
ispiv-149	181	41	and	and	CCONJ
ispiv-149	181	42	to	to	ADP
ispiv-149	181	43	their	their	PRON
ispiv-149	181	44	relevance	relevance	NOUN
ispiv-149	181	45	to	to	ADP
ispiv-149	181	46	data	datum	NOUN
ispiv-149	181	47	fitting	fitting	ADJ
ispiv-149	181	48	.	.	PUNCT
ispiv-149	182	1	the	the	DET
ispiv-149	182	2	present	present	ADJ
ispiv-149	182	3	contribution	contribution	NOUN
ispiv-149	182	4	provides	provide	VERB
ispiv-149	182	5	a	a	DET
ispiv-149	182	6	straightforward	straightforward	ADJ
ispiv-149	182	7	and	and	CCONJ
ispiv-149	182	8	practical	practical	ADJ
ispiv-149	182	9	mean	mean	NOUN
ispiv-149	182	10	to	to	PART
ispiv-149	182	11	access	access	VERB
ispiv-149	182	12	and	and	CCONJ
ispiv-149	182	13	qualify	qualify	VERB
ispiv-149	182	14	these	these	DET
ispiv-149	182	15	aspects	aspect	NOUN
ispiv-149	182	16	using	use	VERB
ispiv-149	182	17	linear	linear	ADJ
ispiv-149	182	18	algebra	algebra	NOUN
ispiv-149	182	19	,	,	PUNCT
ispiv-149	182	20	with	with	ADP
ispiv-149	182	21	the	the	DET
ispiv-149	182	22	possibility	possibility	NOUN
ispiv-149	182	23	of	of	ADP
ispiv-149	182	24	analytical	analytical	ADJ
ispiv-149	182	25	quantification	quantification	NOUN
ispiv-149	182	26	.	.	PUNCT
ispiv-149	183	1	additionally	additionally	ADV
ispiv-149	183	2	,	,	PUNCT
ispiv-149	183	3	the	the	DET
ispiv-149	183	4	resulting	result	VERB
ispiv-149	183	5	formulations	formulation	NOUN
ispiv-149	183	6	can	can	AUX
ispiv-149	183	7	be	be	AUX
ispiv-149	183	8	easily	easily	ADV
ispiv-149	183	9	extended	extend	VERB
ispiv-149	183	10	to	to	ADP
ispiv-149	183	11	2d	2d	NUM
ispiv-149	183	12	or	or	CCONJ
ispiv-149	183	13	3d	3d	NUM
ispiv-149	183	14	for	for	ADP
ispiv-149	183	15	post	post	ADJ
ispiv-149	183	16	-	-	ADJ
ispiv-149	183	17	processing	processing	ADJ
ispiv-149	183	18	dense	dense	ADJ
ispiv-149	183	19	,	,	PUNCT
ispiv-149	183	20	regular	regular	ADJ
ispiv-149	183	21	,	,	PUNCT
ispiv-149	183	22	spatial	spatial	ADJ
ispiv-149	183	23	fields	field	NOUN
ispiv-149	183	24	.	.	PUNCT
ispiv-149	184	1	in	in	ADP
ispiv-149	184	2	this	this	DET
ispiv-149	184	3	perspective	perspective	NOUN
ispiv-149	184	4	,	,	PUNCT
ispiv-149	184	5	the	the	DET
ispiv-149	184	6	observations	observation	NOUN
ispiv-149	184	7	of	of	ADP
ispiv-149	184	8	,	,	PUNCT
ispiv-149	184	9	e.g.	e.g.	ADV
ispiv-149	184	10	,	,	PUNCT
ispiv-149	184	11	raffel	raffel	NOUN
ispiv-149	184	12	et	et	NOUN
ispiv-149	184	13	.	.	PUNCT
ispiv-149	185	1	al	al	PROPN
ispiv-149	185	2	(	(	PUNCT
ispiv-149	185	3	1998	1998	NUM
ispiv-149	185	4	)	)	PUNCT
ispiv-149	185	5	on	on	ADP
ispiv-149	185	6	the	the	DET
ispiv-149	185	7	sensitivity	sensitivity	NOUN
ispiv-149	185	8	of	of	ADP
ispiv-149	185	9	derivation	derivation	NOUN
ispiv-149	185	10	results	result	NOUN
ispiv-149	185	11	obtained	obtain	VERB
ispiv-149	185	12	from	from	ADP
ispiv-149	185	13	schemes	scheme	NOUN
ispiv-149	185	14	based	base	VERB
ispiv-149	185	15	either	either	CCONJ
ispiv-149	185	16	on	on	ADP
ispiv-149	185	17	richardson	richardson	PROPN
ispiv-149	185	18	expansion	expansion	NOUN
ispiv-149	185	19	or	or	CCONJ
ispiv-149	185	20	least	least	ADJ
ispiv-149	185	21	-	-	PUNCT
ispiv-149	185	22	square	square	NOUN
ispiv-149	185	23	fits	fit	NOUN
ispiv-149	185	24	are	be	AUX
ispiv-149	185	25	formally	formally	ADV
ispiv-149	185	26	explained	explain	VERB
ispiv-149	185	27	by	by	ADP
ispiv-149	185	28	the	the	DET
ispiv-149	185	29	balance	balance	NOUN
ispiv-149	185	30	between	between	ADP
ispiv-149	185	31	error	error	NOUN
ispiv-149	185	32	propagation	propagation	NOUN
ispiv-149	185	33	and	and	CCONJ
ispiv-149	185	34	truncation	truncation	NOUN
ispiv-149	185	35	terms	term	NOUN
ispiv-149	185	36	.	.	PUNCT
ispiv-149	186	1	acknowledgements	acknowledgement	NOUN
ispiv-149	186	2	this	this	DET
ispiv-149	186	3	project	project	NOUN
ispiv-149	186	4	has	have	AUX
ispiv-149	186	5	received	receive	VERB
ispiv-149	186	6	funding	funding	NOUN
ispiv-149	186	7	from	from	ADP
ispiv-149	186	8	the	the	DET
ispiv-149	186	9	european	european	PROPN
ispiv-149	186	10	research	research	PROPN
ispiv-149	186	11	council	council	PROPN
ispiv-149	186	12	(	(	PUNCT
ispiv-149	186	13	erc	erc	PROPN
ispiv-149	186	14	)	)	PUNCT
ispiv-149	186	15	under	under	ADP
ispiv-149	186	16	the	the	DET
ispiv-149	186	17	european	european	PROPN
ispiv-149	186	18	union	union	PROPN
ispiv-149	186	19	’s	’s	PART
ispiv-149	186	20	horizon	horizon	NOUN
ispiv-149	186	21	2020	2020	NUM
ispiv-149	186	22	research	research	NOUN
ispiv-149	186	23	and	and	CCONJ
ispiv-149	186	24	innovation	innovation	NOUN
ispiv-149	186	25	programme	programme	NOUN
ispiv-149	186	26	,	,	PUNCT
ispiv-149	186	27	project	project	NOUN
ispiv-149	186	28	homer	homer	NOUN
ispiv-149	186	29	:	:	PUNCT
ispiv-149	186	30	holistic	holistic	ADJ
ispiv-149	186	31	optical	optical	ADJ
ispiv-149	186	32	metrology	metrology	NOUN
ispiv-149	186	33	for	for	ADP
ispiv-149	186	34	aero	aero	ADJ
ispiv-149	186	35	-	-	ADJ
ispiv-149	186	36	elastic	elastic	ADJ
ispiv-149	186	37	research	research	NOUN
ispiv-149	186	38	(	(	PUNCT
ispiv-149	186	39	grant	grant	NOUN
ispiv-149	186	40	agreement	agreement	NOUN
ispiv-149	186	41	no	no	DET
ispiv-149	186	42	648161	648161	NUM
ispiv-149	186	43	)	)	PUNCT
ispiv-149	186	44	.	.	PUNCT
ispiv-149	187	1	references	reference	NOUN
ispiv-149	187	2	acher	acher	ADV
ispiv-149	187	3	g	g	PROPN
ispiv-149	187	4	,	,	PUNCT
ispiv-149	187	5	thomas	thomas	PROPN
ispiv-149	187	6	l	l	PROPN
ispiv-149	187	7	,	,	PUNCT
ispiv-149	187	8	tremblais	tremblais	NOUN
ispiv-149	187	9	b	b	PROPN
ispiv-149	187	10	,	,	PUNCT
ispiv-149	187	11	gomit	gomit	VERB
ispiv-149	187	12	g	g	NOUN
ispiv-149	187	13	,	,	PUNCT
ispiv-149	187	14	chatellier	chatellier	NOUN
ispiv-149	187	15	l	l	NOUN
ispiv-149	187	16	,	,	PUNCT
ispiv-149	187	17	david	david	PROPN
ispiv-149	187	18	l	l	PROPN
ispiv-149	187	19	,	,	PUNCT
ispiv-149	187	20	simultaneous	simultaneous	ADJ
ispiv-149	187	21	measurements	measurement	NOUN
ispiv-149	187	22	of	of	ADP
ispiv-149	187	23	flow	flow	NOUN
ispiv-149	187	24	velocity	velocity	NOUN
ispiv-149	187	25	using	use	VERB
ispiv-149	187	26	tomo	tomo	NOUN
ispiv-149	187	27	-	-	PUNCT
ispiv-149	187	28	piv	piv	NOUN
ispiv-149	187	29	and	and	CCONJ
ispiv-149	187	30	deformation	deformation	NOUN
ispiv-149	187	31	of	of	ADP
ispiv-149	187	32	a	a	DET
ispiv-149	187	33	flexible	flexible	ADJ
ispiv-149	187	34	wing	wing	NOUN
ispiv-149	187	35	,	,	PUNCT
ispiv-149	187	36	13th	13th	ADJ
ispiv-149	187	37	international	international	ADJ
ispiv-149	187	38	symposium	symposium	NOUN
ispiv-149	187	39	on	on	ADP
ispiv-149	187	40	particle	particle	NOUN
ispiv-149	187	41	image	image	NOUN
ispiv-149	187	42	velocimetry	velocimetry	NOUN
ispiv-149	187	43	,	,	PUNCT
ispiv-149	187	44	2019	2019	NUM
ispiv-149	187	45	blasius	blasius	NOUN
ispiv-149	187	46	h	h	NOUN
ispiv-149	187	47	,	,	PUNCT
ispiv-149	187	48	the	the	DET
ispiv-149	187	49	boundary	boundary	ADJ
ispiv-149	187	50	layer	layer	NOUN
ispiv-149	187	51	in	in	ADP
ispiv-149	187	52	fluids	fluid	NOUN
ispiv-149	187	53	with	with	ADP
ispiv-149	187	54	little	little	ADJ
ispiv-149	187	55	friction	friction	NOUN
ispiv-149	187	56	(	(	PUNCT
ispiv-149	187	57	translation	translation	NOUN
ispiv-149	187	58	of	of	ADP
ispiv-149	187	59	grenzschichten	grenzschichten	NOUN
ispiv-149	187	60	in	in	ADP
ispiv-149	187	61	fliissigkeiten	fliissigkeiten	ADJ
ispiv-149	187	62	mit	mit	PROPN
ispiv-149	187	63	kleiner	kleiner	PROPN
ispiv-149	187	64	reibung	reibung	PROPN
ispiv-149	187	65	,	,	PUNCT
ispiv-149	187	66	zeitschrift	zeitschrift	NOUN
ispiv-149	187	67	fixr	fixr	PROPN
ispiv-149	187	68	mathematik	mathematik	PROPN
ispiv-149	187	69	und	und	PROPN
ispiv-149	187	70	physik	physik	PROPN
ispiv-149	187	71	,	,	PUNCT
ispiv-149	187	72	band	band	NOUN
ispiv-149	187	73	56	56	NUM
ispiv-149	187	74	,	,	PUNCT
ispiv-149	187	75	heft	heft	ADJ
ispiv-149	187	76	1	1	NUM
ispiv-149	187	77	,	,	PUNCT
ispiv-149	187	78	1908	1908	NUM
ispiv-149	187	79	)	)	PUNCT
ispiv-149	187	80	,	,	PUNCT
ispiv-149	187	81	naca	naca	PROPN
ispiv-149	187	82	tm-1256	tm-1256	PROPN
ispiv-149	187	83	,	,	PUNCT
ispiv-149	187	84	1950	1950	NUM
ispiv-149	187	85	raffel	raffel	NOUN
ispiv-149	187	86	m	m	PROPN
ispiv-149	187	87	,	,	PUNCT
ispiv-149	187	88	willert	willert	PROPN
ispiv-149	187	89	m	m	PROPN
ispiv-149	187	90	,	,	PUNCT
ispiv-149	187	91	kompenhans	kompenhans	PROPN
ispiv-149	187	92	j.	j.	PROPN
ispiv-149	187	93	,	,	PUNCT
ispiv-149	187	94	particle	particle	NOUN
ispiv-149	187	95	image	image	NOUN
ispiv-149	187	96	velocimetry	velocimetry	NOUN
ispiv-149	187	97	,	,	PUNCT
ispiv-149	187	98	a	a	DET
ispiv-149	187	99	practical	practical	ADJ
ispiv-149	187	100	guide	guide	NOUN
ispiv-149	187	101	,	,	PUNCT
ispiv-149	187	102	springer	springer	NOUN
ispiv-149	187	103	-	-	PUNCT
ispiv-149	187	104	verlag	verlag	PROPN
ispiv-149	187	105	berlin	berlin	PROPN
ispiv-149	187	106	,	,	PUNCT
ispiv-149	187	107	heidelberg	heidelberg	PROPN
ispiv-149	187	108	,	,	PUNCT
ispiv-149	187	109	1998	1998	NUM
ispiv-149	187	110	dorrepal	dorrepal	NOUN
ispiv-149	187	111	j	j	PROPN
ispiv-149	187	112	m	m	PROPN
ispiv-149	187	113	,	,	PUNCT
ispiv-149	187	114	an	an	DET
ispiv-149	187	115	exact	exact	ADJ
ispiv-149	187	116	solution	solution	NOUN
ispiv-149	187	117	of	of	ADP
ispiv-149	187	118	the	the	DET
ispiv-149	187	119	navier	navier	NOUN
ispiv-149	187	120	-	-	PUNCT
ispiv-149	187	121	stokes	stoke	NOUN
ispiv-149	187	122	equation	equation	NOUN
ispiv-149	187	123	which	which	PRON
ispiv-149	187	124	describes	describe	VERB
ispiv-149	187	125	non	non	ADJ
ispiv-149	187	126	-	-	ADJ
ispiv-149	187	127	orthogonal	orthogonal	ADJ
ispiv-149	187	128	stagnation	stagnation	NOUN
ispiv-149	187	129	-	-	PUNCT
ispiv-149	187	130	point	point	NOUN
ispiv-149	187	131	flow	flow	NOUN
ispiv-149	187	132	in	in	ADP
ispiv-149	187	133	two	two	NUM
ispiv-149	187	134	dimensions	dimension	NOUN
ispiv-149	187	135	,	,	PUNCT
ispiv-149	187	136	j.	j.	PROPN
ispiv-149	187	137	fluid	fluid	PROPN
ispiv-149	187	138	mech	mech	NOUN
ispiv-149	187	139	.	.	PUNCT
ispiv-149	188	1	163:141	163:141	NOUN
ispiv-149	188	2	-	-	PUNCT
ispiv-149	188	3	147	147	NUM
ispiv-149	188	4	,	,	PUNCT
ispiv-149	188	5	1986	1986	NUM
ispiv-149	188	6	gesemann	gesemann	PROPN
ispiv-149	188	7	s	s	PROPN
ispiv-149	188	8	,	,	PUNCT
ispiv-149	188	9	huhn	huhn	PROPN
ispiv-149	188	10	f	f	PROPN
ispiv-149	188	11	,	,	PUNCT
ispiv-149	188	12	schanz	schanz	PROPN
ispiv-149	189	1	d	d	NOUN
ispiv-149	189	2	,	,	PUNCT
ispiv-149	189	3	schröder	schröder	NOUN
ispiv-149	189	4	a	a	PRON
ispiv-149	189	5	,	,	PUNCT
ispiv-149	189	6	from	from	ADP
ispiv-149	189	7	noisy	noisy	ADJ
ispiv-149	189	8	particle	particle	NOUN
ispiv-149	189	9	tracks	track	NOUN
ispiv-149	189	10	to	to	ADP
ispiv-149	189	11	velocity	velocity	NOUN
ispiv-149	189	12	,	,	PUNCT
ispiv-149	189	13	acceleration	acceleration	NOUN
ispiv-149	189	14	and	and	CCONJ
ispiv-149	189	15	pressure	pressure	NOUN
ispiv-149	189	16	fields	field	NOUN
ispiv-149	189	17	using	use	VERB
ispiv-149	189	18	b	b	NOUN
ispiv-149	189	19	-	-	PUNCT
ispiv-149	189	20	splines	spline	NOUN
ispiv-149	189	21	and	and	CCONJ
ispiv-149	189	22	penalties	penalty	NOUN
ispiv-149	189	23	,	,	PUNCT
ispiv-149	189	24	18th	18th	ADJ
ispiv-149	189	25	international	international	ADJ
ispiv-149	189	26	symposium	symposium	NOUN
ispiv-149	189	27	on	on	ADP
ispiv-149	189	28	the	the	DET
ispiv-149	189	29	application	application	NOUN
ispiv-149	189	30	of	of	ADP
ispiv-149	189	31	laser	laser	NOUN
ispiv-149	189	32	and	and	CCONJ
ispiv-149	189	33	imaging	imaging	NOUN
ispiv-149	189	34	techniques	technique	NOUN
ispiv-149	189	35	to	to	ADP
ispiv-149	189	36	fluid	fluid	ADJ
ispiv-149	189	37	mechanics	mechanic	NOUN
ispiv-149	189	38	,	,	PUNCT
ispiv-149	189	39	2016	2016	NUM
ispiv-149	189	40	kähler	kähler	NOUN
ispiv-149	189	41	c	c	PROPN
ispiv-149	189	42	j	j	PROPN
ispiv-149	189	43	,	,	PUNCT
ispiv-149	189	44	scharnowski	scharnowski	VERB
ispiv-149	189	45	s	s	PART
ispiv-149	189	46	,	,	PUNCT
ispiv-149	189	47	cierpka	cierpka	NOUN
ispiv-149	189	48	c	c	NOUN
ispiv-149	189	49	,	,	PUNCT
ispiv-149	189	50	on	on	ADP
ispiv-149	189	51	the	the	DET
ispiv-149	189	52	uncertainty	uncertainty	NOUN
ispiv-149	189	53	of	of	ADP
ispiv-149	189	54	digital	digital	ADJ
ispiv-149	189	55	piv	piv	NOUN
ispiv-149	189	56	and	and	CCONJ
ispiv-149	189	57	ptv	ptv	PROPN
ispiv-149	189	58	near	near	ADP
ispiv-149	189	59	walls	wall	NOUN
ispiv-149	189	60	,	,	PUNCT
ispiv-149	189	61	experiments	experiment	NOUN
ispiv-149	189	62	in	in	ADP
ispiv-149	189	63	fluids	fluid	NOUN
ispiv-149	189	64	52:1641–1656	52:1641–1656	NUM
ispiv-149	189	65	,	,	PUNCT
ispiv-149	189	66	2012	2012	NUM
ispiv-149	189	67	leclaire	leclaire	NOUN
ispiv-149	189	68	b	b	NOUN
ispiv-149	189	69	,	,	PUNCT
ispiv-149	189	70	challenge	challenge	NOUN
ispiv-149	189	71	datasets	dataset	NOUN
ispiv-149	189	72	generation	generation	NOUN
ispiv-149	189	73	:	:	PUNCT
ispiv-149	189	74	physical	physical	ADJ
ispiv-149	189	75	situation	situation	NOUN
ispiv-149	189	76	,	,	PUNCT
ispiv-149	189	77	numerical	numerical	ADJ
ispiv-149	189	78	simulation	simulation	NOUN
ispiv-149	189	79	and	and	CCONJ
ispiv-149	189	80	synthetic	synthetic	ADJ
ispiv-149	189	81	generation	generation	NOUN
ispiv-149	189	82	,	,	PUNCT
ispiv-149	189	83	3rd	3rd	ADJ
ispiv-149	189	84	workshop	workshop	NOUN
ispiv-149	189	85	and	and	CCONJ
ispiv-149	189	86	1st	1st	ADJ
ispiv-149	189	87	challenge	challenge	NOUN
ispiv-149	189	88	on	on	ADP
ispiv-149	189	89	data	datum	NOUN
ispiv-149	189	90	assimilation	assimilation	NOUN
ispiv-149	189	91	&	&	CCONJ
ispiv-149	189	92	cfd	cfd	PROPN
ispiv-149	189	93	processing	processing	NOUN
ispiv-149	189	94	for	for	ADP
ispiv-149	189	95	piv	piv	NOUN
ispiv-149	189	96	and	and	CCONJ
ispiv-149	189	97	lagrangian	lagrangian	ADJ
ispiv-149	189	98	particle	particle	NOUN
ispiv-149	189	99	tracking	tracking	NOUN
ispiv-149	189	100	,	,	PUNCT
ispiv-149	189	101	2020	2020	NUM
ispiv-149	189	102	neagoe	neagoe	VERB
ispiv-149	189	103	ve	ve	NOUN
ispiv-149	189	104	,	,	PUNCT
ispiv-149	189	105	inversion	inversion	NOUN
ispiv-149	189	106	of	of	ADP
ispiv-149	189	107	the	the	DET
ispiv-149	189	108	van	van	PROPN
ispiv-149	189	109	der	der	NOUN
ispiv-149	189	110	monde	monde	NOUN
ispiv-149	189	111	matrix	matrix	NOUN
ispiv-149	189	112	,	,	PUNCT
ispiv-149	189	113	ieee	ieee	NOUN
ispiv-149	189	114	signal	signal	NOUN
ispiv-149	189	115	processing	processing	NOUN
ispiv-149	189	116	letters	letter	NOUN
ispiv-149	189	117	3:4	3:4	NUM
ispiv-149	189	118	,	,	PUNCT
ispiv-149	189	119	1996	1996	NUM
ispiv-149	189	120	novara	novara	PROPN
ispiv-149	189	121	m	m	PROPN
ispiv-149	189	122	,	,	PUNCT
ispiv-149	189	123	scarano	scarano	PROPN
ispiv-149	189	124	f	f	AUX
ispiv-149	189	125	,	,	PUNCT
ispiv-149	189	126	a	a	DET
ispiv-149	189	127	particle	particle	NOUN
ispiv-149	189	128	-	-	PUNCT
ispiv-149	189	129	tracking	tracking	NOUN
ispiv-149	189	130	approach	approach	NOUN
ispiv-149	189	131	for	for	ADP
ispiv-149	189	132	accurate	accurate	ADJ
ispiv-149	189	133	material	material	NOUN
ispiv-149	189	134	derivative	derivative	ADJ
ispiv-149	189	135	measurements	measurement	NOUN
ispiv-149	189	136	with	with	ADP
ispiv-149	189	137	tomographic	tomographic	ADJ
ispiv-149	189	138	piv	piv	NOUN
ispiv-149	189	139	.	.	PUNCT
ispiv-149	190	1	exp.fluids	exp.fluid	VERB
ispiv-149	190	2	54:158	54:158	NUM
ispiv-149	190	3	,	,	PUNCT
ispiv-149	190	4	2013	2013	NUM
ispiv-149	190	5	novara	novara	PROPN
ispiv-149	190	6	m	m	PROPN
ispiv-149	190	7	,	,	PUNCT
ispiv-149	190	8	schanz	schanz	PROPN
ispiv-149	191	1	d	d	NOUN
ispiv-149	191	2	,	,	PUNCT
ispiv-149	191	3	reuther	reuther	NOUN
ispiv-149	191	4	n	n	CCONJ
ispiv-149	191	5	,	,	PUNCT
ispiv-149	191	6	kähler	kähler	PROPN
ispiv-149	191	7	cj	cj	PROPN
ispiv-149	191	8	,	,	PUNCT
ispiv-149	191	9	schröder	schröder	PROPN
ispiv-149	191	10	a	a	PRON
ispiv-149	191	11	,	,	PUNCT
ispiv-149	191	12	lagrangian	lagrangian	ADJ
ispiv-149	191	13	3d	3d	NUM
ispiv-149	191	14	particle	particle	NOUN
ispiv-149	191	15	tracking	tracking	NOUN
ispiv-149	191	16	in	in	ADP
ispiv-149	191	17	high	high	ADJ
ispiv-149	191	18	-	-	PUNCT
ispiv-149	191	19	speed	speed	NOUN
ispiv-149	191	20	flows	flow	NOUN
ispiv-149	191	21	:	:	PUNCT
ispiv-149	191	22	shake	shake	VERB
ispiv-149	191	23	-	-	PUNCT
ispiv-149	191	24	the	the	DET
ispiv-149	191	25	-	-	PUNCT
ispiv-149	191	26	box	box	NOUN
ispiv-149	191	27	for	for	ADP
ispiv-149	191	28	multi	multi	ADJ
ispiv-149	191	29	-	-	ADJ
ispiv-149	191	30	pulse	pulse	ADJ
ispiv-149	191	31	systems	system	NOUN
ispiv-149	191	32	,	,	PUNCT
ispiv-149	191	33	experiments	experiment	NOUN
ispiv-149	191	34	in	in	ADP
ispiv-149	191	35	fluids	fluid	NOUN
ispiv-149	191	36	57(8	57(8	NUM
ispiv-149	191	37	)	)	PUNCT
ispiv-149	191	38	,	,	PUNCT
ispiv-149	191	39	2016	2016	NUM
ispiv-149	191	40	schanz	schanz	NOUN
ispiv-149	192	1	d	d	NOUN
ispiv-149	192	2	,	,	PUNCT
ispiv-149	192	3	gesemann	gesemann	PROPN
ispiv-149	192	4	s	s	PROPN
ispiv-149	192	5	,	,	PUNCT
ispiv-149	192	6	schröder	schröder	NOUN
ispiv-149	192	7	a	a	DET
ispiv-149	192	8	,	,	PUNCT
ispiv-149	192	9	shake	shake	VERB
ispiv-149	192	10	-	-	PUNCT
ispiv-149	192	11	the	the	DET
ispiv-149	192	12	-	-	PUNCT
ispiv-149	192	13	box	box	NOUN
ispiv-149	192	14	:	:	PUNCT
ispiv-149	192	15	accurate	accurate	ADJ
ispiv-149	192	16	lagrangian	lagrangian	ADJ
ispiv-149	192	17	particle	particle	NOUN
ispiv-149	192	18	tracking	tracking	NOUN
ispiv-149	192	19	at	at	ADP
ispiv-149	192	20	high	high	ADJ
ispiv-149	192	21	particle	particle	NOUN
ispiv-149	192	22	densities	density	NOUN
ispiv-149	192	23	.	.	PUNCT
ispiv-149	193	1	exp.fluids	exp.fluid	NOUN
ispiv-149	193	2	57:70	57:70	NUM
ispiv-149	193	3	,	,	PUNCT
ispiv-149	193	4	2016	2016	NUM
ispiv-149	193	5	14th	14th	ADJ
ispiv-149	193	6	international	international	ADJ
ispiv-149	193	7	symposium	symposium	NOUN
ispiv-149	193	8	on	on	ADP
ispiv-149	193	9	particle	particle	NOUN
ispiv-149	193	10	image	image	NOUN
ispiv-149	193	11	velocimetry	velocimetry	NOUN
ispiv-149	193	12	–	–	PUNCT
ispiv-149	193	13	ispiv	ispiv	NOUN
ispiv-149	193	14	2021	2021	NUM
ispiv-149	193	15	august	august	PROPN
ispiv-149	193	16	1	1	NUM
ispiv-149	193	17	-	-	SYM
ispiv-149	193	18	5	5	NUM
ispiv-149	193	19	,	,	PUNCT
ispiv-149	193	20	2021	2021	NUM
ispiv-149	193	21	sciacchitano	sciacchitano	VERB
ispiv-149	193	22	a	a	PROPN
ispiv-149	193	23	,	,	PUNCT
ispiv-149	193	24	lpt	lpt	PROPN
ispiv-149	193	25	challenge	challenge	NOUN
ispiv-149	193	26	results	result	NOUN
ispiv-149	193	27	,	,	PUNCT
ispiv-149	193	28	3rd	3rd	ADJ
ispiv-149	193	29	workshop	workshop	NOUN
ispiv-149	193	30	and	and	CCONJ
ispiv-149	193	31	1st	1st	ADJ
ispiv-149	193	32	challenge	challenge	NOUN
ispiv-149	193	33	on	on	ADP
ispiv-149	193	34	data	datum	NOUN
ispiv-149	193	35	assimilation	assimilation	NOUN
ispiv-149	193	36	&	&	CCONJ
ispiv-149	193	37	cfd	cfd	PROPN
ispiv-149	193	38	processing	processing	NOUN
ispiv-149	193	39	for	for	ADP
ispiv-149	193	40	piv	piv	NOUN
ispiv-149	193	41	and	and	CCONJ
ispiv-149	193	42	lagrangian	lagrangian	ADJ
ispiv-149	193	43	particle	particle	NOUN
ispiv-149	193	44	tracking	tracking	NOUN
ispiv-149	193	45	,	,	PUNCT
ispiv-149	193	46	2020	2020	NUM
ispiv-149	193	47	wieneke	wieneke	PROPN
ispiv-149	193	48	b	b	PROPN
ispiv-149	193	49	,	,	PUNCT
ispiv-149	193	50	iterative	iterative	ADJ
ispiv-149	193	51	reconstruction	reconstruction	NOUN
ispiv-149	193	52	of	of	ADP
ispiv-149	193	53	volumetric	volumetric	ADJ
ispiv-149	193	54	particle	particle	NOUN
ispiv-149	193	55	distribution	distribution	NOUN
ispiv-149	193	56	.	.	PUNCT
ispiv-149	194	1	meas	meas	PROPN
ispiv-149	194	2	.	.	PUNCT
ispiv-149	195	1	science	science	NOUN
ispiv-149	195	2	tech	tech	PROPN
ispiv-149	195	3	.	.	PUNCT
ispiv-149	196	1	24,024008	24,024008	NUM
ispiv-149	196	2	,	,	PUNCT
ispiv-149	196	3	2013	2013	NUM
ispiv-149	196	4	1	1	NUM
ispiv-149	196	5	introduction	introduction	NOUN
ispiv-149	196	6	2	2	NUM
ispiv-149	196	7	taylor	taylor	PROPN
ispiv-149	196	8	development	development	NOUN
ispiv-149	196	9	and	and	CCONJ
ispiv-149	196	10	polynomial	polynomial	ADJ
ispiv-149	196	11	fit	fit	ADJ
ispiv-149	196	12	3	3	NUM
ispiv-149	196	13	system	system	NOUN
ispiv-149	196	14	inversion	inversion	NOUN
ispiv-149	196	15	3.1	3.1	NUM
ispiv-149	196	16	exact	exact	ADJ
ispiv-149	196	17	fit	fit	ADJ
ispiv-149	196	18	3.1.1	3.1.1	NUM
ispiv-149	196	19	error	error	NOUN
ispiv-149	196	20	propagation	propagation	NOUN
ispiv-149	196	21	:	:	PUNCT
ispiv-149	196	22	3.1.2	3.1.2	NUM
ispiv-149	196	23	truncation	truncation	NOUN
ispiv-149	196	24	error	error	NOUN
ispiv-149	196	25	:	:	PUNCT
ispiv-149	196	26	3.2	3.2	NUM
ispiv-149	196	27	approximate	approximate	NOUN
ispiv-149	196	28	fit	fit	ADJ
ispiv-149	196	29	3.3	3.3	NUM
ispiv-149	196	30	examples	example	NOUN
ispiv-149	196	31	3.3.1	3.3.1	NUM
ispiv-149	196	32	exact	exact	ADV
ispiv-149	196	33	fit	fit	ADJ
ispiv-149	196	34	two	two	NUM
ispiv-149	196	35	-	-	PUNCT
ispiv-149	196	36	point	point	NOUN
ispiv-149	196	37	centered	center	VERB
ispiv-149	196	38	scheme	scheme	NOUN
ispiv-149	196	39	(	(	PUNCT
ispiv-149	196	40	tp	tp	NOUN
ispiv-149	196	41	):	):	PUNCT
ispiv-149	196	42	three	three	NUM
ispiv-149	196	43	-	-	PUNCT
ispiv-149	196	44	point	point	NOUN
ispiv-149	196	45	centered	center	VERB
ispiv-149	196	46	scheme	scheme	NOUN
ispiv-149	196	47	(	(	PUNCT
ispiv-149	196	48	mp	mp	NOUN
ispiv-149	196	49	):	):	PUNCT
ispiv-149	196	50	generic	generic	ADJ
ispiv-149	196	51	four	four	NUM
ispiv-149	196	52	-	-	PUNCT
ispiv-149	196	53	point	point	NOUN
ispiv-149	196	54	centered	center	VERB
ispiv-149	196	55	scheme	scheme	NOUN
ispiv-149	196	56	(	(	PUNCT
ispiv-149	196	57	fp	fp	X
ispiv-149	196	58	):	):	PUNCT
ispiv-149	196	59	3.3.2	3.3.2	NUM
ispiv-149	196	60	approximate	approximate	ADJ
ispiv-149	196	61	fit	fit	ADJ
ispiv-149	196	62	3.3.3	3.3.3	NUM
ispiv-149	196	63	error	error	NOUN
ispiv-149	196	64	estimates	estimate	NOUN
ispiv-149	196	65	from	from	ADP
ispiv-149	196	66	analytical	analytical	ADJ
ispiv-149	196	67	trajectories	trajectory	NOUN
ispiv-149	196	68	4	4	NUM
ispiv-149	196	69	conclusion	conclusion	NOUN