id	sid	tid	token	lemma	pos
ap-940	1	1	ap07_2-3.vp	ap07_2-3.vp	PRON
ap-940	1	2	1	1	NUM
ap-940	1	3	introduction	introduction	NOUN
ap-940	1	4	and	and	CCONJ
ap-940	1	5	motivation	motivation	NOUN
ap-940	1	6	a	a	DET
ap-940	1	7	detailed	detailed	ADJ
ap-940	1	8	understanding	understanding	NOUN
ap-940	1	9	and	and	CCONJ
ap-940	1	10	description	description	NOUN
ap-940	1	11	of	of	ADP
ap-940	1	12	quantal	quantal	ADJ
ap-940	1	13	and	and	CCONJ
ap-940	1	14	classical	classical	ADJ
ap-940	1	15	phenomena	phenomenon	NOUN
ap-940	1	16	has	have	AUX
ap-940	1	17	attracted	attract	VERB
ap-940	1	18	the	the	DET
ap-940	1	19	attention	attention	NOUN
ap-940	1	20	of	of	ADP
ap-940	1	21	many	many	ADJ
ap-940	1	22	mathematicians	mathematician	NOUN
ap-940	1	23	and	and	CCONJ
ap-940	1	24	physicists	physicist	NOUN
ap-940	1	25	for	for	ADP
ap-940	1	26	a	a	DET
ap-940	1	27	long	long	ADJ
ap-940	1	28	time	time	NOUN
ap-940	1	29	.	.	PUNCT
ap-940	2	1	quantum	quantum	NOUN
ap-940	2	2	and	and	CCONJ
ap-940	2	3	classical	classical	ADJ
ap-940	2	4	mechanics	mechanic	NOUN
ap-940	2	5	are	be	AUX
ap-940	2	6	the	the	DET
ap-940	2	7	best	good	ADJ
ap-940	2	8	elaborated	elaborate	VERB
ap-940	2	9	,	,	PUNCT
ap-940	2	10	understood	understand	VERB
ap-940	2	11	and	and	CCONJ
ap-940	2	12	examined	examine	VERB
ap-940	2	13	parts	part	NOUN
ap-940	2	14	of	of	ADP
ap-940	2	15	physics	physics	NOUN
ap-940	2	16	.	.	PUNCT
ap-940	3	1	their	their	PRON
ap-940	3	2	mathematical	mathematical	ADJ
ap-940	3	3	setting	setting	NOUN
ap-940	3	4	is	be	AUX
ap-940	3	5	concentrated	concentrate	VERB
ap-940	3	6	around	around	ADP
ap-940	3	7	powerful	powerful	ADJ
ap-940	3	8	artillery	artillery	NOUN
ap-940	3	9	,	,	PUNCT
ap-940	3	10	which	which	PRON
ap-940	3	11	includes	include	VERB
ap-940	3	12	differential	differential	ADJ
ap-940	3	13	geometry	geometry	NOUN
ap-940	3	14	,	,	PUNCT
ap-940	3	15	spectral	spectral	ADJ
ap-940	3	16	calculus	calculus	NOUN
ap-940	3	17	,	,	PUNCT
ap-940	3	18	functional	functional	ADJ
ap-940	3	19	analyses	analysis	NOUN
ap-940	3	20	,	,	PUNCT
ap-940	3	21	group	group	NOUN
ap-940	3	22	and	and	CCONJ
ap-940	3	23	representation	representation	NOUN
ap-940	3	24	theory	theory	NOUN
ap-940	3	25	,	,	PUNCT
ap-940	3	26	(	(	PUNCT
ap-940	3	27	co)homology	co)homology	NOUN
ap-940	3	28	techniques	technique	NOUN
ap-940	3	29	,	,	PUNCT
ap-940	3	30	and	and	CCONJ
ap-940	3	31	so	so	ADV
ap-940	3	32	on	on	ADV
ap-940	3	33	.	.	PUNCT
ap-940	4	1	the	the	DET
ap-940	4	2	problem	problem	NOUN
ap-940	4	3	of	of	ADP
ap-940	4	4	how	how	SCONJ
ap-940	4	5	to	to	PART
ap-940	4	6	get	get	VERB
ap-940	4	7	directly	directly	ADV
ap-940	4	8	from	from	ADP
ap-940	4	9	classical	classical	ADJ
ap-940	4	10	dynamics	dynamic	NOUN
ap-940	4	11	,	,	PUNCT
ap-940	4	12	represented	represent	VERB
ap-940	4	13	by	by	ADP
ap-940	4	14	the	the	DET
ap-940	4	15	system	system	NOUN
ap-940	4	16	of	of	ADP
ap-940	4	17	second	second	ADJ
ap-940	4	18	-	-	PUNCT
ap-940	4	19	order	order	NOUN
ap-940	4	20	differential	differential	ADJ
ap-940	4	21	equations	equation	NOUN
ap-940	4	22	of	of	ADP
ap-940	4	23	the	the	DET
ap-940	4	24	newton	newton	PROPN
ap-940	4	25	-	-	PUNCT
ap-940	4	26	lagrange	lagrange	PROPN
ap-940	4	27	type	type	NOUN
ap-940	4	28	,	,	PUNCT
ap-940	4	29	�	�	PROPN
ap-940	4	30	�	�	PROPN
ap-940	4	31	(	(	PUNCT
ap-940	4	32	,	,	PUNCT
ap-940	4	33	�	�	PROPN
ap-940	4	34	,	,	PUNCT
ap-940	4	35	)	)	PUNCT
ap-940	4	36	x	x	SYM
ap-940	4	37	x	x	PUNCT
ap-940	4	38	x	x	SYM
ap-940	4	39	ti	ti	VERB
ap-940	4	40	i	i	PROPN
ap-940	4	41	�	�	PROPN
ap-940	4	42	�	�	PROPN
ap-940	4	43	to	to	ADP
ap-940	4	44	the	the	DET
ap-940	4	45	corresponding	corresponding	ADJ
ap-940	4	46	quantum	quantum	ADJ
ap-940	4	47	dynamics	dynamic	NOUN
ap-940	4	48	was	be	AUX
ap-940	4	49	articulated	articulate	VERB
ap-940	4	50	by	by	ADP
ap-940	4	51	feynman	feynman	PROPN
ap-940	4	52	,	,	PUNCT
ap-940	4	53	see	see	VERB
ap-940	4	54	freeman	freeman	PROPN
ap-940	4	55	dyson	dyson	PROPN
ap-940	4	56	’s	’s	PART
ap-940	4	57	editorial	editorial	ADJ
ap-940	4	58	comment	comment	NOUN
ap-940	5	1	[	[	X
ap-940	5	2	1	1	NUM
ap-940	5	3	]	]	PUNCT
ap-940	5	4	.	.	PUNCT
ap-940	6	1	standard	standard	ADJ
ap-940	6	2	approaches	approach	NOUN
ap-940	6	3	are	be	AUX
ap-940	6	4	based	base	VERB
ap-940	6	5	on	on	ADP
ap-940	6	6	canonical	canonical	ADJ
ap-940	6	7	quantization	quantization	NOUN
ap-940	6	8	(	(	PUNCT
ap-940	6	9	heisenberg	heisenberg	PROPN
ap-940	6	10	-	-	PUNCT
ap-940	6	11	like	like	ADJ
ap-940	6	12	and/or	and/or	CCONJ
ap-940	6	13	schrödinger	schrödinger	ADJ
ap-940	6	14	-	-	PUNCT
ap-940	6	15	like	like	ADJ
ap-940	6	16	equations	equation	NOUN
ap-940	6	17	)	)	PUNCT
ap-940	6	18	or	or	CCONJ
ap-940	6	19	on	on	ADP
ap-940	6	20	the	the	DET
ap-940	6	21	feynman	feynman	PROPN
ap-940	6	22	path	path	PROPN
ap-940	6	23	integral	integral	ADJ
ap-940	6	24	technique	technique	NOUN
ap-940	6	25	.	.	PUNCT
ap-940	7	1	all	all	PRON
ap-940	7	2	of	of	ADP
ap-940	7	3	these	these	DET
ap-940	7	4	procedures	procedure	NOUN
ap-940	7	5	require	require	VERB
ap-940	7	6	in	in	ADP
ap-940	7	7	some	some	DET
ap-940	7	8	sense	sense	NOUN
ap-940	7	9	lagrangian	lagrangian	ADJ
ap-940	7	10	�	�	PROPN
ap-940	7	11	�	�	PROPN
ap-940	7	12	�	�	PROPN
ap-940	7	13	�	�	PROPN
ap-940	7	14	�	�	PROPN
ap-940	7	15	and/or	and/or	CCONJ
ap-940	7	16	hamiltonian	hamiltonian	PROPN
ap-940	7	17	�	�	PROPN
ap-940	7	18	�	�	PROPN
ap-940	7	19	�	�	PROPN
ap-940	7	20	�	�	PROPN
ap-940	7	21	�	�	PROPN
ap-940	7	22	functions	function	NOUN
ap-940	7	23	,	,	PUNCT
ap-940	7	24	such	such	ADJ
ap-940	7	25	that	that	SCONJ
ap-940	7	26	�	�	PROPN
ap-940	7	27	�	�	PROPN
ap-940	7	28	(	(	PUNCT
ap-940	7	29	,	,	PUNCT
ap-940	7	30	�	�	PROPN
ap-940	7	31	,	,	PUNCT
ap-940	7	32	)	)	PUNCT
ap-940	7	33	x	x	X
ap-940	8	1	x	x	PUNCT
ap-940	8	2	x	x	X
ap-940	8	3	t	t	NOUN
ap-940	8	4	x	x	PUNCT
ap-940	8	5	x	x	PUNCT
ap-940	9	1	i	i	PRON
ap-940	9	2	i	i	PRON
ap-940	10	1	i	i	PRON
ap-940	10	2	i	i	PROPN
ap-940	10	3	�	�	PROPN
ap-940	10	4	�	�	PROPN
ap-940	10	5	�	�	PROPN
ap-940	10	6	�	�	PROPN
ap-940	10	7	�	�	PROPN
ap-940	10	8	�	�	PROPN
ap-940	10	9	�	�	PROPN
ap-940	10	10	�	�	PROPN
ap-940	10	11	�	�	PROPN
ap-940	10	12	�	�	PROPN
ap-940	10	13	�	�	PROPN
ap-940	10	14	0	0	NUM
ap-940	10	15	0and	0and	PROPN
ap-940	10	16	/	/	SYM
ap-940	10	17	or	or	CCONJ
ap-940	10	18	.	.	PUNCT
ap-940	11	1	here	here	ADV
ap-940	11	2	we	we	PRON
ap-940	11	3	have	have	AUX
ap-940	11	4	imprecisely	imprecisely	ADV
ap-940	11	5	denoted	denote	VERB
ap-940	11	6	the	the	DET
ap-940	11	7	functional	functional	ADJ
ap-940	11	8	derivatives	derivative	NOUN
ap-940	11	9	of	of	ADP
ap-940	11	10	the	the	DET
ap-940	11	11	underlying	underlie	VERB
ap-940	11	12	classical	classical	ADJ
ap-940	11	13	variational	variational	ADJ
ap-940	11	14	principles	principle	NOUN
ap-940	11	15	by	by	ADP
ap-940	11	16	�	�	PROPN
ap-940	11	17	�	�	PROPN
ap-940	11	18	�	�	PROPN
ap-940	11	19	x	x	SYM
ap-940	11	20	and/or	and/or	CCONJ
ap-940	11	21	�	�	PROPN
ap-940	11	22	�	�	PROPN
ap-940	11	23	�	�	PROPN
ap-940	11	24	x	x	X
ap-940	11	25	.	.	PUNCT
ap-940	12	1	the	the	DET
ap-940	12	2	fact	fact	NOUN
ap-940	12	3	that	that	SCONJ
ap-940	12	4	kinetic	kinetic	ADJ
ap-940	12	5	energy	energy	NOUN
ap-940	12	6	�	�	PROPN
ap-940	12	7	is	be	AUX
ap-940	12	8	a	a	DET
ap-940	12	9	time	time	NOUN
ap-940	12	10	-	-	PUNCT
ap-940	12	11	independent	independent	ADJ
ap-940	12	12	quadratic	quadratic	ADJ
ap-940	12	13	form	form	NOUN
ap-940	12	14	in	in	ADP
ap-940	12	15	velocities	velocity	NOUN
ap-940	12	16	and/or	and/or	CCONJ
ap-940	12	17	the	the	DET
ap-940	12	18	corresponding	corresponding	ADJ
ap-940	12	19	momenta	momenta	NOUN
ap-940	12	20	is	be	AUX
ap-940	12	21	absolutely	absolutely	ADV
ap-940	12	22	crucial	crucial	ADJ
ap-940	12	23	for	for	ADP
ap-940	12	24	the	the	DET
ap-940	12	25	classical	classical	ADJ
ap-940	12	26	and	and	CCONJ
ap-940	12	27	quantal	quantal	ADJ
ap-940	12	28	descriptions	description	NOUN
ap-940	12	29	.	.	PUNCT
ap-940	13	1	it	it	PRON
ap-940	13	2	provides	provide	VERB
ap-940	13	3	an	an	DET
ap-940	13	4	intimate	intimate	ADJ
ap-940	13	5	connection	connection	NOUN
ap-940	13	6	with	with	ADP
ap-940	13	7	the	the	DET
ap-940	13	8	universal	universal	ADJ
ap-940	13	9	mechanical	mechanical	ADJ
ap-940	13	10	property	property	NOUN
ap-940	13	11	known	know	VERB
ap-940	13	12	as	as	ADP
ap-940	13	13	inertia	inertia	NOUN
ap-940	13	14	.	.	PUNCT
ap-940	14	1	the	the	DET
ap-940	14	2	question	question	NOUN
ap-940	14	3	of	of	ADP
ap-940	14	4	,	,	PUNCT
ap-940	14	5	whether	whether	SCONJ
ap-940	14	6	there	there	PRON
ap-940	14	7	exists	exist	VERB
ap-940	14	8	a	a	DET
ap-940	14	9	lagrangian	lagrangian	ADJ
ap-940	14	10	and/or	and/or	CCONJ
ap-940	14	11	hamiltonian	hamiltonian	NOUN
ap-940	14	12	for	for	ADP
ap-940	14	13	the	the	DET
ap-940	14	14	given	give	VERB
ap-940	14	15	set	set	NOUN
ap-940	14	16	of	of	ADP
ap-940	14	17	forces	force	NOUN
ap-940	14	18	for	for	ADP
ap-940	14	19	the	the	DET
ap-940	14	20	initial	initial	ADJ
ap-940	14	21	newton	newton	PROPN
ap-940	14	22	-	-	PUNCT
ap-940	14	23	lagrange	lagrange	PROPN
ap-940	14	24	system	system	NOUN
ap-940	14	25	has	have	AUX
ap-940	14	26	been	be	AUX
ap-940	14	27	studied	study	VERB
ap-940	14	28	by	by	ADP
ap-940	14	29	many	many	ADJ
ap-940	14	30	authors	author	NOUN
ap-940	14	31	,	,	PUNCT
ap-940	14	32	for	for	ADP
ap-940	14	33	more	more	ADJ
ap-940	14	34	detail	detail	NOUN
ap-940	14	35	see	see	VERB
ap-940	14	36	for	for	ADP
ap-940	14	37	example	example	NOUN
ap-940	14	38	[	[	X
ap-940	14	39	2–4	2–4	NUM
ap-940	14	40	]	]	PUNCT
ap-940	14	41	.	.	PUNCT
ap-940	15	1	this	this	DET
ap-940	15	2	problem	problem	NOUN
ap-940	15	3	is	be	AUX
ap-940	15	4	known	know	VERB
ap-940	15	5	as	as	ADP
ap-940	15	6	the	the	DET
ap-940	15	7	inverse	inverse	NOUN
ap-940	15	8	problem	problem	NOUN
ap-940	15	9	of	of	ADP
ap-940	15	10	the	the	DET
ap-940	15	11	calculus	calculus	NOUN
ap-940	15	12	of	of	ADP
ap-940	15	13	variation	variation	NOUN
ap-940	15	14	.	.	PUNCT
ap-940	16	1	in	in	ADP
ap-940	16	2	many	many	ADJ
ap-940	16	3	applications	application	NOUN
ap-940	16	4	,	,	PUNCT
ap-940	16	5	requirements	requirement	NOUN
ap-940	16	6	such	such	ADJ
ap-940	16	7	as	as	ADP
ap-940	16	8	the	the	DET
ap-940	16	9	quadraticity	quadraticity	NOUN
ap-940	16	10	and	and	CCONJ
ap-940	16	11	time	time	NOUN
ap-940	16	12	-	-	PUNCT
ap-940	16	13	independence	independence	NOUN
ap-940	16	14	of	of	ADP
ap-940	16	15	�	�	PROPN
ap-940	16	16	are	be	AUX
ap-940	16	17	suppressed	suppress	VERB
ap-940	16	18	.	.	PUNCT
ap-940	17	1	for	for	ADP
ap-940	17	2	example	example	NOUN
ap-940	17	3	,	,	PUNCT
ap-940	17	4	for	for	ADP
ap-940	17	5	a	a	DET
ap-940	17	6	one	one	NUM
ap-940	17	7	-	-	PUNCT
ap-940	17	8	dimensional	dimensional	ADJ
ap-940	17	9	free	free	ADJ
ap-940	17	10	particle	particle	NOUN
ap-940	17	11	driven	drive	VERB
ap-940	17	12	by	by	ADP
ap-940	17	13	friction	friction	NOUN
ap-940	17	14	proportional	proportional	NOUN
ap-940	17	15	to	to	ADP
ap-940	17	16	the	the	DET
ap-940	17	17	actual	actual	ADJ
ap-940	17	18	velocity	velocity	NOUN
ap-940	17	19	,	,	PUNCT
ap-940	17	20	one	one	PRON
ap-940	17	21	can	can	AUX
ap-940	17	22	assign	assign	VERB
ap-940	17	23	to	to	ADP
ap-940	17	24	any	any	DET
ap-940	17	25	real	real	ADJ
ap-940	17	26	number	number	NOUN
ap-940	17	27	�	�	NOUN
ap-940	17	28	the	the	DET
ap-940	17	29	lagrangian	lagrangian	ADJ
ap-940	17	30	function	function	NOUN
ap-940	17	31	�	�	NOUN
ap-940	17	32	�	�	PROPN
ap-940	17	33	as	as	SCONJ
ap-940	17	34	follows	follow	VERB
ap-940	17	35	:	:	PUNCT
ap-940	17	36	�	�	PROPN
ap-940	17	37	�	�	PROPN
ap-940	17	38	�	�	PROPN
ap-940	17	39	�	�	PROPN
ap-940	17	40	�	�	PROPN
ap-940	17	41	�	�	PROPN
ap-940	17	42	�	�	PROPN
ap-940	17	43	�	�	PROPN
ap-940	17	44	�	�	PROPN
ap-940	17	45	(	(	PUNCT
ap-940	17	46	,	,	PUNCT
ap-940	17	47	�	�	PROPN
ap-940	17	48	,	,	PUNCT
ap-940	17	49	)	)	PUNCT
ap-940	17	50	,	,	PUNCT
ap-940	17	51	,	,	PUNCT
ap-940	17	52	�	�	PROPN
ap-940	17	53	ln	ln	PROPN
ap-940	17	54	�	�	PROPN
ap-940	17	55	�	�	PROPN
ap-940	17	56	,	,	PUNCT
ap-940	17	57	�	�	PROPN
ap-940	17	58	(	(	PUNCT
ap-940	17	59	)	)	PUNCT
ap-940	17	60	x	x	PUNCT
ap-940	18	1	x	x	PUNCT
ap-940	18	2	t	t	NOUN
ap-940	18	3	r	r	NOUN
ap-940	18	4	x	x	PUNCT
ap-940	18	5	x	x	PUNCT
ap-940	18	6	x	x	PUNCT
ap-940	18	7	x	x	SYM
ap-940	18	8	x	x	SYM
ap-940	18	9	t	t	PROPN
ap-940	18	10	�	�	PROPN
ap-940	18	11	�	�	PROPN
ap-940	18	12	�	�	PROPN
ap-940	18	13	�	�	PROPN
ap-940	18	14	�	�	PROPN
ap-940	18	15	�	�	PROPN
ap-940	18	16	�	�	PROPN
ap-940	18	17	1	1	NUM
ap-940	18	18	1	1	NUM
ap-940	18	19	1	1	NUM
ap-940	18	20	0e	0e	NOUN
ap-940	18	21	for	for	ADP
ap-940	18	22	for	for	ADP
ap-940	18	23	e	e	PROPN
ap-940	18	24	for	for	ADP
ap-940	18	25	�	�	PROPN
ap-940	18	26	�	�	PROPN
ap-940	18	27	�	�	PROPN
ap-940	18	28	�	�	PROPN
ap-940	18	29	�	�	PROPN
ap-940	18	30	�	�	PROPN
ap-940	18	31	�	�	PROPN
ap-940	18	32	�	�	PROPN
ap-940	18	33	�	�	PROPN
ap-940	18	34	�	�	PROPN
ap-940	18	35	�	�	PROPN
ap-940	18	36	�	�	PROPN
ap-940	18	37	0	0	NUM
ap-940	18	38	1	1	NUM
ap-940	18	39	t	t	PROPN
ap-940	18	40	xln	xln	PROPN
ap-940	18	41	�	�	PROPN
ap-940	18	42	,	,	PUNCT
ap-940	18	43	then	then	ADV
ap-940	18	44	�	�	PROPN
ap-940	18	45	�	�	PROPN
ap-940	18	46	�	�	PROPN
ap-940	18	47	�	�	PROPN
ap-940	18	48	x	x	SYM
ap-940	18	49	x	x	SYM
ap-940	18	50	x	x	PRON
ap-940	18	51	�	�	PROPN
ap-940	18	52	�	�	PROPN
ap-940	18	53	�	�	PROPN
ap-940	18	54	�	�	PROPN
ap-940	18	55	0	0	NUM
ap-940	18	56	�	�	PROPN
ap-940	18	57	�	�	PROPN
ap-940	18	58	�	�	PROPN
ap-940	18	59	.	.	PUNCT
ap-940	19	1	no	no	DET
ap-940	19	2	two	two	NUM
ap-940	19	3	of	of	ADP
ap-940	19	4	the	the	DET
ap-940	19	5	lagrangians	lagrangians	PROPN
ap-940	19	6	listed	list	VERB
ap-940	19	7	above	above	ADV
ap-940	19	8	are	be	AUX
ap-940	19	9	equivalent	equivalent	ADJ
ap-940	19	10	,	,	PUNCT
ap-940	19	11	i.e.	i.e.	X
ap-940	19	12	�	�	PROPN
ap-940	19	13	�	�	PROPN
ap-940	19	14	�	�	PROPN
ap-940	19	15	�	�	PROPN
ap-940	19	16	�	�	PROPN
ap-940	19	17	�	�	PROPN
ap-940	19	18	const	const	PROPN
ap-940	19	19	d	d	X
ap-940	19	20	dt	dt	X
ap-940	19	21	f	f	PROPN
ap-940	19	22	x	x	SYM
ap-940	19	23	t	t	PROPN
ap-940	19	24	(	(	PUNCT
ap-940	19	25	,	,	PUNCT
ap-940	19	26	)	)	PUNCT
ap-940	19	27	.	.	PUNCT
ap-940	20	1	this	this	DET
ap-940	20	2	simple	simple	ADJ
ap-940	20	3	observation	observation	NOUN
ap-940	20	4	in	in	ADP
ap-940	20	5	the	the	DET
ap-940	20	6	simplest	simple	ADJ
ap-940	20	7	example	example	NOUN
ap-940	20	8	under	under	ADP
ap-940	20	9	consideration	consideration	NOUN
ap-940	20	10	has	have	VERB
ap-940	20	11	very	very	ADV
ap-940	20	12	strong	strong	ADJ
ap-940	20	13	physical	physical	ADJ
ap-940	20	14	consequences	consequence	NOUN
ap-940	20	15	in	in	ADP
ap-940	20	16	general	general	ADJ
ap-940	20	17	.	.	PUNCT
ap-940	21	1	the	the	DET
ap-940	21	2	non	non	ADJ
ap-940	21	3	-	-	ADJ
ap-940	21	4	equivalent	equivalent	ADJ
ap-940	21	5	lagrangians	lagrangian	NOUN
ap-940	21	6	lead	lead	VERB
ap-940	21	7	to	to	ADP
ap-940	21	8	non	non	ADJ
ap-940	21	9	-	-	ADJ
ap-940	21	10	equivalent	equivalent	ADJ
ap-940	21	11	quantum	quantum	ADJ
ap-940	21	12	mechanics	mechanic	NOUN
ap-940	21	13	(	(	PUNCT
ap-940	21	14	this	this	PRON
ap-940	21	15	is	be	AUX
ap-940	21	16	unrelated	unrelated	ADJ
ap-940	21	17	to	to	ADP
ap-940	21	18	the	the	DET
ap-940	21	19	problem	problem	NOUN
ap-940	21	20	of	of	ADP
ap-940	21	21	ordering	ordering	NOUN
ap-940	21	22	)	)	PUNCT
ap-940	21	23	,	,	PUNCT
ap-940	21	24	i.e.	i.e.	X
ap-940	21	25	the	the	DET
ap-940	21	26	transition	transition	NOUN
ap-940	21	27	amplitudes	amplitude	NOUN
ap-940	21	28	computed	compute	VERB
ap-940	21	29	according	accord	VERB
ap-940	21	30	to	to	ADP
ap-940	21	31	them	they	PRON
ap-940	21	32	are	be	AUX
ap-940	21	33	different	different	ADJ
ap-940	21	34	,	,	PUNCT
ap-940	21	35	though	though	SCONJ
ap-940	21	36	their	their	PRON
ap-940	21	37	classical	classical	ADJ
ap-940	21	38	limit	limit	NOUN
ap-940	21	39	is	be	AUX
ap-940	21	40	the	the	DET
ap-940	21	41	same	same	ADJ
ap-940	21	42	.	.	PUNCT
ap-940	22	1	this	this	DET
ap-940	22	2	problem	problem	NOUN
ap-940	22	3	is	be	AUX
ap-940	22	4	called	call	VERB
ap-940	22	5	quantization	quantization	NOUN
ap-940	22	6	ambiguity	ambiguity	NOUN
ap-940	22	7	.	.	PUNCT
ap-940	23	1	it	it	PRON
ap-940	23	2	is	be	AUX
ap-940	23	3	possible	possible	ADJ
ap-940	23	4	to	to	PART
ap-940	23	5	say	say	VERB
ap-940	23	6	which	which	DET
ap-940	23	7	lagrangian	lagrangian	ADJ
ap-940	23	8	provides	provide	VERB
ap-940	23	9	the	the	DET
ap-940	23	10	“	"	PUNCT
ap-940	23	11	genuine	genuine	ADJ
ap-940	23	12	“	"	PUNCT
ap-940	23	13	quantum	quantum	ADJ
ap-940	23	14	mechanics	mechanic	NOUN
ap-940	23	15	only	only	ADV
ap-940	23	16	after	after	ADP
ap-940	23	17	performing	perform	VERB
ap-940	23	18	a	a	DET
ap-940	23	19	suitable	suitable	ADJ
ap-940	23	20	experiment	experiment	NOUN
ap-940	23	21	,	,	PUNCT
ap-940	23	22	but	but	CCONJ
ap-940	23	23	the	the	DET
ap-940	23	24	role	role	NOUN
ap-940	23	25	of	of	ADP
ap-940	23	26	quadraticity	quadraticity	NOUN
ap-940	23	27	and	and	CCONJ
ap-940	23	28	time	time	NOUN
ap-940	23	29	independency	independency	NOUN
ap-940	23	30	of	of	ADP
ap-940	23	31	�	�	PROPN
ap-940	23	32	will	will	AUX
ap-940	23	33	surely	surely	ADV
ap-940	23	34	be	be	AUX
ap-940	23	35	essential	essential	ADJ
ap-940	23	36	there	there	ADV
ap-940	23	37	.	.	PUNCT
ap-940	24	1	the	the	DET
ap-940	24	2	aim	aim	NOUN
ap-940	24	3	of	of	ADP
ap-940	24	4	this	this	DET
ap-940	24	5	paper	paper	NOUN
ap-940	24	6	is	be	AUX
ap-940	24	7	to	to	PART
ap-940	24	8	try	try	VERB
ap-940	24	9	to	to	PART
ap-940	24	10	find	find	VERB
ap-940	24	11	an	an	DET
ap-940	24	12	answer	answer	NOUN
ap-940	24	13	to	to	ADP
ap-940	24	14	the	the	DET
ap-940	24	15	feynman	feynman	PROPN
ap-940	24	16	problem	problem	NOUN
ap-940	24	17	,	,	PUNCT
ap-940	24	18	and	and	CCONJ
ap-940	24	19	,	,	PUNCT
ap-940	24	20	at	at	ADP
ap-940	24	21	the	the	DET
ap-940	24	22	same	same	ADJ
ap-940	24	23	time	time	NOUN
ap-940	24	24	,	,	PUNCT
ap-940	24	25	to	to	PART
ap-940	24	26	provide	provide	VERB
ap-940	24	27	a	a	DET
ap-940	24	28	geometrical	geometrical	ADJ
ap-940	24	29	picture	picture	NOUN
ap-940	24	30	of	of	ADP
ap-940	24	31	classical	classical	ADJ
ap-940	24	32	and	and	CCONJ
ap-940	24	33	quantum	quantum	ADJ
ap-940	24	34	mechanics	mechanic	NOUN
ap-940	24	35	for	for	ADP
ap-940	24	36	physical	physical	ADJ
ap-940	24	37	systems	system	NOUN
ap-940	24	38	,	,	PUNCT
ap-940	24	39	where	where	SCONJ
ap-940	24	40	a	a	DET
ap-940	24	41	proper	proper	ADJ
ap-940	24	42	lagrangian	lagrangian	ADJ
ap-940	24	43	and/or	and/or	CCONJ
ap-940	24	44	hamiltonian	hamiltonian	ADJ
ap-940	24	45	description	description	NOUN
ap-940	24	46	is	be	AUX
ap-940	24	47	missing	miss	VERB
ap-940	24	48	.	.	PUNCT
ap-940	25	1	the	the	DET
ap-940	25	2	central	central	ADJ
ap-940	25	3	object	object	NOUN
ap-940	25	4	in	in	ADP
ap-940	25	5	our	our	PRON
ap-940	25	6	approach	approach	NOUN
ap-940	25	7	is	be	AUX
ap-940	25	8	a	a	DET
ap-940	25	9	certain	certain	ADJ
ap-940	25	10	canonical	canonical	ADJ
ap-940	25	11	two	two	NUM
ap-940	25	12	-	-	PUNCT
ap-940	25	13	form	form	NOUN
ap-940	25	14	�	�	PROPN
ap-940	25	15	,	,	PUNCT
ap-940	25	16	which	which	PRON
ap-940	25	17	is	be	AUX
ap-940	25	18	defined	define	VERB
ap-940	25	19	in	in	ADP
ap-940	25	20	an	an	DET
ap-940	25	21	extended	extended	ADJ
ap-940	25	22	tangent	tangent	NOUN
ap-940	25	23	bundle	bundle	NOUN
ap-940	25	24	.	.	PUNCT
ap-940	26	1	its	its	PRON
ap-940	26	2	main	main	ADJ
ap-940	26	3	properties	property	NOUN
ap-940	26	4	are	be	AUX
ap-940	26	5	narrowly	narrowly	ADV
ap-940	26	6	studied	study	VERB
ap-940	26	7	in	in	ADP
ap-940	26	8	section	section	NOUN
ap-940	26	9	2	2	NUM
ap-940	26	10	.	.	PUNCT
ap-940	27	1	the	the	DET
ap-940	27	2	differential	differential	ADJ
ap-940	27	3	two	two	NUM
ap-940	27	4	-	-	PUNCT
ap-940	27	5	form	form	NOUN
ap-940	27	6	�	�	PROPN
ap-940	27	7	serves	serve	VERB
ap-940	27	8	as	as	ADP
ap-940	27	9	a	a	DET
ap-940	27	10	guide	guide	NOUN
ap-940	27	11	for	for	ADP
ap-940	27	12	a	a	DET
ap-940	27	13	new	new	ADJ
ap-940	27	14	type	type	NOUN
ap-940	27	15	of	of	ADP
ap-940	27	16	variational	variational	ADJ
ap-940	27	17	principle	principle	NOUN
ap-940	27	18	.	.	PUNCT
ap-940	28	1	in	in	ADP
ap-940	28	2	section	section	NOUN
ap-940	28	3	3	3	NUM
ap-940	28	4	we	we	PRON
ap-940	28	5	introduce	introduce	VERB
ap-940	28	6	the	the	DET
ap-940	28	7	notion	notion	NOUN
ap-940	28	8	of	of	ADP
ap-940	28	9	an	an	DET
ap-940	28	10	“	"	PUNCT
ap-940	28	11	umbilical	umbilical	ADJ
ap-940	28	12	world	world	NOUN
ap-940	28	13	-	-	PUNCT
ap-940	28	14	sheet	sheet	NOUN
ap-940	28	15	.	.	PUNCT
ap-940	28	16	”	"	PUNCT
ap-940	29	1	it	it	PRON
ap-940	29	2	generalizes	generalize	VERB
ap-940	29	3	the	the	DET
ap-940	29	4	concept	concept	NOUN
ap-940	29	5	of	of	ADP
ap-940	29	6	the	the	DET
ap-940	29	7	history	history	NOUN
ap-940	29	8	of	of	ADP
ap-940	29	9	the	the	DET
ap-940	29	10	system	system	NOUN
ap-940	29	11	and	and	CCONJ
ap-940	29	12	there60	there60	VERB
ap-940	29	13	©	©	PROPN
ap-940	29	14	czech	czech	PROPN
ap-940	29	15	technical	technical	PROPN
ap-940	29	16	university	university	PROPN
ap-940	29	17	publishing	publishing	NOUN
ap-940	29	18	house	house	NOUN
ap-940	29	19	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	29	20	acta	acta	PROPN
ap-940	29	21	polytechnica	polytechnica	PROPN
ap-940	29	22	vol	vol	NOUN
ap-940	29	23	.	.	PUNCT
ap-940	30	1	47	47	NUM
ap-940	30	2	no	no	NOUN
ap-940	30	3	.	.	PUNCT
ap-940	31	1	2–3/2007	2–3/2007	NUM
ap-940	31	2	quantization	quantization	NOUN
ap-940	31	3	of	of	ADP
ap-940	31	4	equations	equation	NOUN
ap-940	31	5	of	of	ADP
ap-940	31	6	motion	motion	NOUN
ap-940	31	7	d.	d.	PROPN
ap-940	31	8	kochan	kochan	VERB
ap-940	31	9	the	the	DET
ap-940	31	10	classical	classical	ADJ
ap-940	31	11	newton	newton	PROPN
ap-940	31	12	-	-	PUNCT
ap-940	31	13	lagrange	lagrange	PROPN
ap-940	31	14	equations	equation	NOUN
ap-940	31	15	of	of	ADP
ap-940	31	16	motion	motion	NOUN
ap-940	31	17	represent	represent	VERB
ap-940	31	18	the	the	DET
ap-940	31	19	fundamental	fundamental	ADJ
ap-940	31	20	physical	physical	ADJ
ap-940	31	21	law	law	NOUN
ap-940	31	22	of	of	ADP
ap-940	31	23	mechanics	mechanic	NOUN
ap-940	31	24	.	.	PUNCT
ap-940	32	1	their	their	PRON
ap-940	32	2	traditional	traditional	ADJ
ap-940	32	3	lagrangian	lagrangian	ADJ
ap-940	32	4	and/or	and/or	CCONJ
ap-940	32	5	hamiltonian	hamiltonian	ADJ
ap-940	32	6	precursors	precursor	NOUN
ap-940	32	7	when	when	SCONJ
ap-940	32	8	available	available	ADJ
ap-940	32	9	are	be	AUX
ap-940	32	10	essential	essential	ADJ
ap-940	32	11	in	in	ADP
ap-940	32	12	the	the	DET
ap-940	32	13	context	context	NOUN
ap-940	32	14	of	of	ADP
ap-940	32	15	quantization	quantization	NOUN
ap-940	32	16	.	.	PUNCT
ap-940	33	1	however	however	ADV
ap-940	33	2	,	,	PUNCT
ap-940	33	3	there	there	PRON
ap-940	33	4	are	be	VERB
ap-940	33	5	situations	situation	NOUN
ap-940	33	6	that	that	PRON
ap-940	33	7	lack	lack	VERB
ap-940	33	8	lagrangian	lagrangian	ADJ
ap-940	33	9	and/or	and/or	CCONJ
ap-940	33	10	hamiltonian	hamiltonian	ADJ
ap-940	33	11	settings	setting	NOUN
ap-940	33	12	.	.	PUNCT
ap-940	34	1	this	this	DET
ap-940	34	2	paper	paper	NOUN
ap-940	34	3	discusses	discuss	VERB
ap-940	34	4	a	a	DET
ap-940	34	5	description	description	NOUN
ap-940	34	6	of	of	ADP
ap-940	34	7	classical	classical	ADJ
ap-940	34	8	dynamics	dynamic	NOUN
ap-940	34	9	and	and	CCONJ
ap-940	34	10	presents	present	VERB
ap-940	34	11	some	some	DET
ap-940	34	12	irresponsible	irresponsible	ADJ
ap-940	34	13	speculations	speculation	NOUN
ap-940	34	14	about	about	ADP
ap-940	34	15	its	its	PRON
ap-940	34	16	quantization	quantization	NOUN
ap-940	34	17	by	by	ADP
ap-940	34	18	introducing	introduce	VERB
ap-940	34	19	a	a	DET
ap-940	34	20	certain	certain	ADJ
ap-940	34	21	canonical	canonical	ADJ
ap-940	34	22	two	two	NUM
ap-940	34	23	-	-	PUNCT
ap-940	34	24	form	form	NOUN
ap-940	34	25	�	�	NOUN
ap-940	34	26	.	.	PUNCT
ap-940	35	1	by	by	ADP
ap-940	35	2	its	its	PRON
ap-940	35	3	construction	construction	NOUN
ap-940	35	4	�	�	PROPN
ap-940	35	5	embodies	embody	VERB
ap-940	35	6	kinetic	kinetic	ADJ
ap-940	35	7	energy	energy	NOUN
ap-940	35	8	and	and	CCONJ
ap-940	35	9	forces	force	NOUN
ap-940	35	10	acting	act	VERB
ap-940	35	11	within	within	ADP
ap-940	35	12	the	the	DET
ap-940	35	13	system	system	NOUN
ap-940	35	14	(	(	PUNCT
ap-940	35	15	not	not	PART
ap-940	35	16	their	their	PRON
ap-940	35	17	potential	potential	NOUN
ap-940	35	18	)	)	PUNCT
ap-940	35	19	.	.	PUNCT
ap-940	36	1	a	a	DET
ap-940	36	2	new	new	ADJ
ap-940	36	3	type	type	NOUN
ap-940	36	4	of	of	ADP
ap-940	36	5	variational	variational	ADJ
ap-940	36	6	principle	principle	NOUN
ap-940	36	7	employing	employ	VERB
ap-940	36	8	differential	differential	NOUN
ap-940	36	9	two	two	NUM
ap-940	36	10	-	-	PUNCT
ap-940	36	11	form	form	NOUN
ap-940	36	12	�	�	PROPN
ap-940	36	13	is	be	AUX
ap-940	36	14	introduced	introduce	VERB
ap-940	36	15	.	.	PUNCT
ap-940	37	1	variation	variation	NOUN
ap-940	37	2	is	be	AUX
ap-940	37	3	performed	perform	VERB
ap-940	37	4	over	over	ADP
ap-940	37	5	“	"	PUNCT
ap-940	37	6	umbilical	umbilical	ADJ
ap-940	37	7	surfaces	surface	NOUN
ap-940	37	8	“	"	PUNCT
ap-940	37	9	instead	instead	ADV
ap-940	37	10	of	of	ADP
ap-940	37	11	system	system	NOUN
ap-940	37	12	histories	history	NOUN
ap-940	37	13	.	.	PUNCT
ap-940	38	1	it	it	PRON
ap-940	38	2	provides	provide	VERB
ap-940	38	3	correct	correct	ADJ
ap-940	38	4	newton	newton	PROPN
ap-940	38	5	-	-	PUNCT
ap-940	38	6	lagrange	lagrange	PROPN
ap-940	38	7	equations	equation	NOUN
ap-940	38	8	of	of	ADP
ap-940	38	9	motion	motion	NOUN
ap-940	38	10	.	.	PUNCT
ap-940	39	1	the	the	DET
ap-940	39	2	quantization	quantization	NOUN
ap-940	39	3	is	be	AUX
ap-940	39	4	inspired	inspire	VERB
ap-940	39	5	by	by	ADP
ap-940	39	6	the	the	DET
ap-940	39	7	feynman	feynman	PROPN
ap-940	39	8	path	path	PROPN
ap-940	39	9	integral	integral	ADJ
ap-940	39	10	approach	approach	NOUN
ap-940	39	11	.	.	PUNCT
ap-940	40	1	the	the	DET
ap-940	40	2	quintessence	quintessence	NOUN
ap-940	40	3	is	be	AUX
ap-940	40	4	to	to	PART
ap-940	40	5	rearrange	rearrange	VERB
ap-940	40	6	it	it	PRON
ap-940	40	7	into	into	ADP
ap-940	40	8	an	an	DET
ap-940	40	9	“	"	PUNCT
ap-940	40	10	umbilical	umbilical	ADJ
ap-940	40	11	world	world	NOUN
ap-940	40	12	-	-	PUNCT
ap-940	40	13	sheet	sheet	NOUN
ap-940	40	14	“	"	PUNCT
ap-940	40	15	functional	functional	ADJ
ap-940	40	16	integral	integral	ADJ
ap-940	40	17	in	in	ADP
ap-940	40	18	accordance	accordance	NOUN
ap-940	40	19	with	with	ADP
ap-940	40	20	the	the	DET
ap-940	40	21	proposed	propose	VERB
ap-940	40	22	variational	variational	ADJ
ap-940	40	23	principle	principle	NOUN
ap-940	40	24	.	.	PUNCT
ap-940	41	1	in	in	ADP
ap-940	41	2	the	the	DET
ap-940	41	3	case	case	NOUN
ap-940	41	4	of	of	ADP
ap-940	41	5	potential	potential	ADJ
ap-940	41	6	-	-	PUNCT
ap-940	41	7	generated	generate	VERB
ap-940	41	8	forces	force	NOUN
ap-940	41	9	,	,	PUNCT
ap-940	41	10	the	the	DET
ap-940	41	11	new	new	ADJ
ap-940	41	12	approach	approach	NOUN
ap-940	41	13	reduces	reduce	VERB
ap-940	41	14	to	to	ADP
ap-940	41	15	the	the	DET
ap-940	41	16	standard	standard	ADJ
ap-940	41	17	quantum	quantum	ADJ
ap-940	41	18	mechanics	mechanic	NOUN
ap-940	41	19	.	.	PUNCT
ap-940	42	1	as	as	ADP
ap-940	42	2	an	an	DET
ap-940	42	3	example	example	NOUN
ap-940	42	4	,	,	PUNCT
ap-940	42	5	quantum	quantum	ADJ
ap-940	42	6	mechanics	mechanic	NOUN
ap-940	42	7	with	with	ADP
ap-940	42	8	friction	friction	NOUN
ap-940	42	9	is	be	AUX
ap-940	42	10	analyzed	analyze	VERB
ap-940	42	11	in	in	ADP
ap-940	42	12	detail	detail	NOUN
ap-940	42	13	.	.	PUNCT
ap-940	43	1	keywords	keyword	NOUN
ap-940	43	2	:	:	PUNCT
ap-940	43	3	quantization	quantization	NOUN
ap-940	43	4	of	of	ADP
ap-940	43	5	dissipative	dissipative	ADJ
ap-940	43	6	systems	system	NOUN
ap-940	43	7	,	,	PUNCT
ap-940	43	8	umbilical	umbilical	ADJ
ap-940	43	9	strings	string	NOUN
ap-940	43	10	,	,	PUNCT
ap-940	43	11	path	path	NOUN
ap-940	43	12	vs.	vs.	ADP
ap-940	43	13	surface	surface	NOUN
ap-940	43	14	integral	integral	ADJ
ap-940	43	15	.	.	PUNCT
ap-940	44	1	dedicated	dedicate	VERB
ap-940	44	2	to	to	PART
ap-940	44	3	tulka	tulka	VERB
ap-940	44	4	.	.	PUNCT
ap-940	45	1	fore	fore	NOUN
ap-940	45	2	it	it	PRON
ap-940	45	3	becomes	become	VERB
ap-940	45	4	important	important	ADJ
ap-940	45	5	in	in	ADP
ap-940	45	6	the	the	DET
ap-940	45	7	context	context	NOUN
ap-940	45	8	of	of	ADP
ap-940	45	9	quantization	quantization	NOUN
ap-940	45	10	.	.	PUNCT
ap-940	46	1	variation	variation	NOUN
ap-940	46	2	uncovers	uncover	NOUN
ap-940	46	3	the	the	DET
ap-940	46	4	desired	desire	VERB
ap-940	46	5	classical	classical	ADJ
ap-940	46	6	trajectory	trajectory	NOUN
ap-940	46	7	and	and	CCONJ
ap-940	46	8	,	,	PUNCT
ap-940	46	9	as	as	ADP
ap-940	46	10	a	a	DET
ap-940	46	11	bonus	bonus	NOUN
ap-940	46	12	,	,	PUNCT
ap-940	46	13	also	also	ADV
ap-940	46	14	some	some	DET
ap-940	46	15	kind	kind	NOUN
ap-940	46	16	of	of	ADP
ap-940	46	17	minimal	minimal	ADJ
ap-940	46	18	surface	surface	NOUN
ap-940	46	19	.	.	PUNCT
ap-940	47	1	in	in	ADP
ap-940	47	2	section	section	NOUN
ap-940	47	3	4	4	NUM
ap-940	47	4	we	we	PRON
ap-940	47	5	will	will	AUX
ap-940	47	6	see	see	VERB
ap-940	47	7	how	how	SCONJ
ap-940	47	8	“	"	PUNCT
ap-940	47	9	umbilical	umbilical	ADJ
ap-940	47	10	strings	string	NOUN
ap-940	47	11	”	"	PUNCT
ap-940	47	12	can	can	AUX
ap-940	47	13	be	be	AUX
ap-940	47	14	used	use	VERB
ap-940	47	15	to	to	PART
ap-940	47	16	rearrange	rearrange	VERB
ap-940	47	17	the	the	DET
ap-940	47	18	feynman	feynman	PROPN
ap-940	47	19	integral	integral	NOUN
ap-940	47	20	over	over	ADP
ap-940	47	21	the	the	DET
ap-940	47	22	histories	history	NOUN
ap-940	47	23	of	of	ADP
ap-940	47	24	the	the	DET
ap-940	47	25	system	system	NOUN
ap-940	47	26	to	to	ADP
ap-940	47	27	the	the	DET
ap-940	47	28	surface	surface	NOUN
ap-940	47	29	functional	functional	ADJ
ap-940	47	30	integral	integral	ADJ
ap-940	47	31	.	.	PUNCT
ap-940	48	1	string	string	NOUN
ap-940	48	2	formulation	formulation	NOUN
ap-940	48	3	has	have	VERB
ap-940	48	4	the	the	DET
ap-940	48	5	big	big	ADJ
ap-940	48	6	advantage	advantage	NOUN
ap-940	48	7	that	that	SCONJ
ap-940	48	8	it	it	PRON
ap-940	48	9	concerns	concern	VERB
ap-940	48	10	components	component	NOUN
ap-940	48	11	of	of	ADP
ap-940	48	12	the	the	DET
ap-940	48	13	forces	force	NOUN
ap-940	48	14	rather	rather	ADV
ap-940	48	15	than	than	ADP
ap-940	48	16	their	their	PRON
ap-940	48	17	potential	potential	NOUN
ap-940	48	18	.	.	PUNCT
ap-940	49	1	in	in	ADP
ap-940	49	2	section	section	NOUN
ap-940	49	3	5	5	NUM
ap-940	49	4	we	we	PRON
ap-940	49	5	are	be	AUX
ap-940	49	6	able	able	ADJ
ap-940	49	7	to	to	PART
ap-940	49	8	compute	compute	VERB
ap-940	49	9	the	the	DET
ap-940	49	10	transition	transition	NOUN
ap-940	49	11	probability	probability	NOUN
ap-940	49	12	amplitude	amplitude	NOUN
ap-940	49	13	for	for	ADP
ap-940	49	14	a	a	DET
ap-940	49	15	quantum	quantum	ADJ
ap-940	49	16	system	system	NOUN
ap-940	49	17	with	with	ADP
ap-940	49	18	friction	friction	NOUN
ap-940	49	19	explicitly	explicitly	ADV
ap-940	49	20	performing	perform	VERB
ap-940	49	21	the	the	DET
ap-940	49	22	surface	surface	NOUN
ap-940	49	23	functional	functional	ADJ
ap-940	49	24	integration	integration	NOUN
ap-940	49	25	.	.	PUNCT
ap-940	50	1	for	for	ADP
ap-940	50	2	potential	potential	ADJ
ap-940	50	3	-	-	PUNCT
ap-940	50	4	generated	generate	VERB
ap-940	50	5	forces	force	NOUN
ap-940	50	6	,	,	PUNCT
ap-940	50	7	the	the	DET
ap-940	50	8	“	"	PUNCT
ap-940	50	9	umbilical	umbilical	ADJ
ap-940	50	10	world	world	NOUN
ap-940	50	11	-	-	PUNCT
ap-940	50	12	sheet	sheet	NOUN
ap-940	50	13	”	"	PUNCT
ap-940	50	14	approach	approach	NOUN
ap-940	50	15	reduces	reduce	VERB
ap-940	50	16	to	to	ADP
ap-940	50	17	standard	standard	ADJ
ap-940	50	18	quantum	quantum	ADJ
ap-940	50	19	mechanics	mechanic	NOUN
ap-940	50	20	.	.	PUNCT
ap-940	51	1	this	this	DET
ap-940	51	2	paper	paper	NOUN
ap-940	51	3	follows	follow	VERB
ap-940	51	4	up	up	ADP
ap-940	51	5	ideas	idea	NOUN
ap-940	51	6	presented	present	VERB
ap-940	51	7	in	in	ADP
ap-940	51	8	my	my	PRON
ap-940	51	9	previous	previous	ADJ
ap-940	51	10	work	work	NOUN
ap-940	51	11	.	.	PUNCT
ap-940	52	1	many	many	ADJ
ap-940	52	2	facts	fact	NOUN
ap-940	52	3	briefly	briefly	ADV
ap-940	52	4	mentioned	mention	VERB
ap-940	52	5	here	here	ADV
ap-940	52	6	can	can	AUX
ap-940	52	7	be	be	AUX
ap-940	52	8	consulted	consult	VERB
ap-940	52	9	in	in	ADP
ap-940	52	10	detail	detail	NOUN
ap-940	52	11	in	in	ADP
ap-940	52	12	[	[	X
ap-940	52	13	5	5	NUM
ap-940	52	14	,	,	PUNCT
ap-940	52	15	6	6	NUM
ap-940	52	16	]	]	PUNCT
ap-940	52	17	.	.	PUNCT
ap-940	53	1	2	2	NUM
ap-940	53	2	lagrangian	lagrangian	ADJ
ap-940	53	3	mechanics	mechanic	NOUN
ap-940	53	4	and	and	CCONJ
ap-940	53	5	the	the	DET
ap-940	53	6	two	two	NUM
ap-940	53	7	-	-	PUNCT
ap-940	53	8	form	form	NOUN
ap-940	53	9	�	�	PROPN
ap-940	53	10	the	the	DET
ap-940	53	11	physical	physical	ADJ
ap-940	53	12	content	content	NOUN
ap-940	53	13	of	of	ADP
ap-940	53	14	classical	classical	ADJ
ap-940	53	15	mechanics	mechanic	NOUN
ap-940	53	16	is	be	AUX
ap-940	53	17	represented	represent	VERB
ap-940	53	18	by	by	ADP
ap-940	53	19	newton	newton	PROPN
ap-940	53	20	’s	’s	PART
ap-940	53	21	dynamical	dynamical	ADJ
ap-940	53	22	law	law	NOUN
ap-940	53	23	.	.	PUNCT
ap-940	54	1	its	its	PRON
ap-940	54	2	formulation	formulation	NOUN
ap-940	54	3	in	in	ADP
ap-940	54	4	general	general	ADJ
ap-940	54	5	curvilinear	curvilinear	PROPN
ap-940	54	6	coordinates	coordinate	NOUN
ap-940	54	7	(	(	PUNCT
ap-940	54	8	after	after	ADP
ap-940	54	9	resolving	resolve	VERB
ap-940	54	10	e.g.	e.g.	ADV
ap-940	54	11	the	the	DET
ap-940	54	12	initial	initial	ADJ
ap-940	54	13	holonomic	holonomic	ADJ
ap-940	54	14	constraints	constraint	NOUN
ap-940	54	15	)	)	PUNCT
ap-940	54	16	coincides	coincide	VERB
ap-940	54	17	with	with	ADP
ap-940	54	18	the	the	DET
ap-940	54	19	lagrange	lagrange	PROPN
ap-940	54	20	equations	equation	NOUN
ap-940	55	1	[	[	X
ap-940	55	2	7–10	7–10	X
ap-940	55	3	]	]	X
ap-940	55	4	:	:	PUNCT
ap-940	56	1	d	d	X
ap-940	56	2	dt	dt	X
ap-940	56	3	q	q	X
ap-940	56	4	q	q	X
ap-940	56	5	i	i	PRON
ap-940	56	6	n	n	NOUN
ap-940	57	1	i	i	PRON
ap-940	58	1	i	i	PRON
ap-940	58	2	i	i	PRON
ap-940	58	3	�	�	PROPN
ap-940	58	4	�	�	PROPN
ap-940	58	5	�	�	PROPN
ap-940	58	6	�	�	PROPN
ap-940	58	7	�	�	PROPN
ap-940	58	8	�	�	PROPN
ap-940	58	9	�	�	PROPN
ap-940	58	10	�	�	PROPN
ap-940	58	11	,	,	PUNCT
ap-940	58	12	,	,	PUNCT
ap-940	58	13	,	,	PUNCT
ap-940	58	14	(	(	PUNCT
ap-940	58	15	�	�	PROPN
ap-940	58	16	�	�	PROPN
ap-940	58	17	�	�	PROPN
ap-940	58	18	�	�	PROPN
ap-940	58	19	�	�	PROPN
ap-940	58	20	�	�	PROPN
ap-940	58	21	�	�	PROPN
ap-940	58	22	�	�	PROPN
ap-940	58	23	�	�	PROPN
ap-940	58	24	�	�	PROPN
ap-940	58	25	�	�	PROPN
ap-940	58	26	�	�	PROPN
ap-940	58	27	1	1	NUM
ap-940	58	28	�	�	PROPN
ap-940	58	29	number	number	NOUN
ap-940	58	30	of	of	ADP
ap-940	58	31	degrees	degree	NOUN
ap-940	58	32	of	of	ADP
ap-940	58	33	freedom	freedom	NOUN
ap-940	58	34	)	)	PUNCT
ap-940	58	35	.	.	PUNCT
ap-940	59	1	(	(	PUNCT
ap-940	59	2	1	1	X
ap-940	59	3	)	)	PUNCT
ap-940	59	4	here	here	ADV
ap-940	59	5	,	,	PUNCT
ap-940	59	6	�	�	PROPN
ap-940	59	7	(	(	PUNCT
ap-940	59	8	,	,	PUNCT
ap-940	59	9	�	�	PROPN
ap-940	59	10	,	,	PUNCT
ap-940	59	11	)	)	PUNCT
ap-940	59	12	(	(	PUNCT
ap-940	59	13	,	,	PUNCT
ap-940	59	14	)	)	PUNCT
ap-940	59	15	�	�	PROPN
ap-940	59	16	�	�	PROPN
ap-940	59	17	q	q	PROPN
ap-940	59	18	q	q	PROPN
ap-940	59	19	t	t	PROPN
ap-940	59	20	t	t	PROPN
ap-940	59	21	q	q	PROPN
ap-940	59	22	t	t	PROPN
ap-940	59	23	q	q	PROPN
ap-940	59	24	qab	qab	NOUN
ap-940	59	25	a	a	DET
ap-940	59	26	b	b	X
ap-940	59	27	�	�	PROPN
ap-940	59	28	1	1	NUM
ap-940	59	29	2	2	NUM
ap-940	59	30	is	be	AUX
ap-940	59	31	the	the	DET
ap-940	59	32	kinetic	kinetic	ADJ
ap-940	59	33	energy	energy	NOUN
ap-940	59	34	of	of	ADP
ap-940	59	35	the	the	DET
ap-940	59	36	system	system	NOUN
ap-940	59	37	and	and	CCONJ
ap-940	59	38	�	�	NOUN
ap-940	60	1	i	i	PRON
ap-940	60	2	iq	iq	VERB
ap-940	60	3	q	q	PROPN
ap-940	60	4	t	t	PROPN
ap-940	60	5	r	r	NOUN
ap-940	60	6	q	q	X
ap-940	61	1	(	(	PUNCT
ap-940	61	2	,	,	PUNCT
ap-940	61	3	�	�	PROPN
ap-940	61	4	,	,	PUNCT
ap-940	61	5	)	)	PUNCT
ap-940	61	6	�	�	PROPN
ap-940	61	7	f	f	X
ap-940	61	8	�	�	PROPN
ap-940	61	9	�	�	PROPN
ap-940	61	10	�	�	PROPN
ap-940	61	11	�	�	PROPN
ap-940	61	12	is	be	AUX
ap-940	61	13	the	the	DET
ap-940	61	14	i	i	PROPN
ap-940	61	15	-	-	PUNCT
ap-940	61	16	th	th	VERB
ap-940	61	17	component	component	NOUN
ap-940	61	18	of	of	ADP
ap-940	61	19	a	a	DET
ap-940	61	20	generalized	generalized	ADJ
ap-940	61	21	force	force	NOUN
ap-940	61	22	.	.	PUNCT
ap-940	62	1	in	in	ADP
ap-940	62	2	the	the	DET
ap-940	62	3	special	special	ADJ
ap-940	62	4	case	case	NOUN
ap-940	62	5	when	when	SCONJ
ap-940	62	6	forces	force	NOUN
ap-940	62	7	are	be	AUX
ap-940	62	8	potential	potential	ADJ
ap-940	62	9	-	-	PUNCT
ap-940	62	10	generated	generate	VERB
ap-940	62	11	�	�	PROPN
ap-940	62	12	�	�	PROPN
ap-940	62	13	�	�	PROPN
ap-940	63	1	i	i	PRON
ap-940	63	2	i	i	PRON
ap-940	63	3	iq	iq	VERB
ap-940	63	4	t	t	PROPN
ap-940	63	5	q	q	PROPN
ap-940	63	6	�	�	PROPN
ap-940	63	7	�	�	PROPN
ap-940	63	8	�	�	PROPN
ap-940	63	9	�	�	PROPN
ap-940	63	10	�	�	PROPN
ap-940	63	11	�	�	PROPN
ap-940	63	12	�	�	PROPN
ap-940	63	13	�	�	PROPN
ap-940	63	14	�	�	PROPN
ap-940	63	15	�	�	PROPN
ap-940	63	16	�	�	PROPN
ap-940	63	17	�	�	PROPN
ap-940	63	18	�	�	PROPN
ap-940	63	19	�	�	PROPN
ap-940	63	20	�	�	PROPN
ap-940	63	21	d	d	PROPN
ap-940	63	22	d	d	PROPN
ap-940	63	23	�	�	PROPN
ap-940	63	24	,	,	PUNCT
ap-940	63	25	one	one	PRON
ap-940	63	26	can	can	AUX
ap-940	63	27	introduce	introduce	VERB
ap-940	63	28	the	the	DET
ap-940	63	29	lagrangian	lagrangian	ADJ
ap-940	63	30	function	function	NOUN
ap-940	63	31	�	�	PROPN
ap-940	63	32	�	�	PROPN
ap-940	63	33	�	�	PROPN
ap-940	63	34	�	�	PROPN
ap-940	63	35	�	�	PROPN
ap-940	63	36	and	and	CCONJ
ap-940	63	37	write	write	VERB
ap-940	63	38	down	down	ADP
ap-940	63	39	the	the	DET
ap-940	63	40	celebrated	celebrate	VERB
ap-940	63	41	euler	euler	PROPN
ap-940	63	42	-	-	PUNCT
ap-940	63	43	lagrange	lagrange	NOUN
ap-940	63	44	equations	equation	NOUN
ap-940	63	45	.	.	PUNCT
ap-940	64	1	generalized	generalized	ADJ
ap-940	64	2	coordinates	coordinate	NOUN
ap-940	64	3	{	{	PUNCT
ap-940	64	4	}	}	PUNCT
ap-940	64	5	qi	qi	NOUN
ap-940	64	6	cover	cover	VERB
ap-940	64	7	some	some	DET
ap-940	64	8	open	open	ADJ
ap-940	64	9	patch	patch	NOUN
ap-940	64	10	of	of	ADP
ap-940	64	11	the	the	DET
ap-940	64	12	configuration	configuration	NOUN
ap-940	64	13	space	space	NOUN
ap-940	64	14	(	(	PUNCT
ap-940	64	15	n	n	CCONJ
ap-940	64	16	-	-	PUNCT
ap-940	64	17	dimensional	dimensional	ADJ
ap-940	64	18	manifold	manifold	ADJ
ap-940	64	19	)	)	PUNCT
ap-940	64	20	m.	m.	NOUN
ap-940	64	21	let	let	VERB
ap-940	64	22	us	we	PRON
ap-940	64	23	trace	trace	VERB
ap-940	64	24	out	out	ADP
ap-940	64	25	the	the	DET
ap-940	64	26	importance	importance	NOUN
ap-940	64	27	of	of	ADP
ap-940	64	28	kinetic	kinetic	ADJ
ap-940	64	29	energy	energy	NOUN
ap-940	64	30	�	�	PROPN
ap-940	64	31	in	in	ADP
ap-940	64	32	a	a	DET
ap-940	64	33	geometrical	geometrical	ADJ
ap-940	64	34	description	description	NOUN
ap-940	64	35	of	of	ADP
ap-940	64	36	mechanics	mechanic	NOUN
ap-940	64	37	.	.	PUNCT
ap-940	65	1	components	component	NOUN
ap-940	65	2	tab	tab	PROPN
ap-940	65	3	can	can	AUX
ap-940	65	4	be	be	AUX
ap-940	65	5	interpreted	interpret	VERB
ap-940	65	6	as	as	ADP
ap-940	65	7	some	some	DET
ap-940	65	8	riemannian	riemannian	ADJ
ap-940	65	9	metric	metric	NOUN
ap-940	65	10	on	on	ADP
ap-940	65	11	m.	m.	NOUN
ap-940	65	12	here	here	ADV
ap-940	65	13	the	the	DET
ap-940	65	14	fact	fact	NOUN
ap-940	65	15	that	that	SCONJ
ap-940	65	16	�	�	PROPN
ap-940	65	17	is	be	AUX
ap-940	65	18	the	the	DET
ap-940	65	19	quadratic	quadratic	ADJ
ap-940	65	20	function	function	NOUN
ap-940	65	21	in	in	ADP
ap-940	65	22	the	the	DET
ap-940	65	23	generalized	generalized	ADJ
ap-940	65	24	velocities	velocity	NOUN
ap-940	65	25	is	be	AUX
ap-940	65	26	absolutely	absolutely	ADV
ap-940	65	27	crucial	crucial	ADJ
ap-940	65	28	.	.	PUNCT
ap-940	66	1	after	after	ADP
ap-940	66	2	introducing	introduce	VERB
ap-940	66	3	a	a	DET
ap-940	66	4	rlc	rlc	PROPN
ap-940	66	5	-	-	PUNCT
ap-940	66	6	connection	connection	PROPN
ap-940	66	7	�	�	PROPN
ap-940	66	8	for	for	ADP
ap-940	66	9	such	such	DET
ap-940	66	10	a	a	DET
ap-940	66	11	metric	metric	ADJ
ap-940	66	12	(	(	PUNCT
ap-940	66	13	kinetic	kinetic	ADJ
ap-940	66	14	energy	energy	NOUN
ap-940	66	15	)	)	PUNCT
ap-940	66	16	,	,	PUNCT
ap-940	66	17	one	one	PRON
ap-940	66	18	can	can	AUX
ap-940	66	19	rewrite	rewrite	VERB
ap-940	66	20	(	(	PUNCT
ap-940	66	21	1	1	NUM
ap-940	66	22	)	)	PUNCT
ap-940	66	23	in	in	ADP
ap-940	66	24	the	the	DET
ap-940	66	25	closed	closed	ADJ
ap-940	66	26	form	form	NOUN
ap-940	66	27	:	:	PUNCT
ap-940	66	28	�	�	PROPN
ap-940	66	29	�	�	PROPN
ap-940	67	1	p	p	PROPN
ap-940	67	2	t	t	X
ap-940	67	3	i	i	PRON
ap-940	67	4	i	i	PROPN
ap-940	67	5	d	d	PROPN
ap-940	67	6	�	�	PROPN
ap-940	67	7	,	,	PUNCT
ap-940	67	8	where	where	SCONJ
ap-940	67	9	p	p	NOUN
ap-940	67	10	q	q	X
ap-940	67	11	i	i	PRON
ap-940	67	12	i	i	PRON
ap-940	67	13	:	:	PUNCT
ap-940	67	14	�	�	PROPN
ap-940	67	15	�	�	PROPN
ap-940	67	16	�	�	PROPN
ap-940	67	17	�	�	PROPN
ap-940	67	18	�	�	PROPN
ap-940	67	19	.	.	PUNCT
ap-940	68	1	(	(	PUNCT
ap-940	68	2	2	2	X
ap-940	68	3	)	)	PUNCT
ap-940	68	4	we	we	PRON
ap-940	68	5	immediately	immediately	ADV
ap-940	68	6	realize	realize	VERB
ap-940	68	7	that	that	SCONJ
ap-940	68	8	for	for	ADP
ap-940	68	9	the	the	DET
ap-940	68	10	free	free	ADJ
ap-940	68	11	case	case	NOUN
ap-940	68	12	the	the	DET
ap-940	68	13	system	system	NOUN
ap-940	68	14	evolves	evolve	VERB
ap-940	68	15	along	along	ADP
ap-940	68	16	a	a	DET
ap-940	68	17	geodetic	geodetic	ADJ
ap-940	68	18	specified	specify	VERB
ap-940	68	19	by	by	ADP
ap-940	68	20	the	the	DET
ap-940	68	21	riemannian	riemannian	ADJ
ap-940	68	22	connection	connection	PROPN
ap-940	68	23	�	�	PROPN
ap-940	68	24	.	.	PUNCT
ap-940	69	1	this	this	PRON
ap-940	69	2	,	,	PUNCT
ap-940	69	3	hopefully	hopefully	ADV
ap-940	69	4	,	,	PUNCT
ap-940	69	5	sheds	shed	VERB
ap-940	69	6	some	some	DET
ap-940	69	7	light	light	NOUN
ap-940	69	8	on	on	ADP
ap-940	69	9	the	the	DET
ap-940	69	10	phenomenon	phenomenon	NOUN
ap-940	69	11	called	call	VERB
ap-940	69	12	inertia	inertia	NOUN
ap-940	69	13	.	.	PUNCT
ap-940	70	1	in	in	ADP
ap-940	70	2	the	the	DET
ap-940	70	3	lagrangian	lagrangian	ADJ
ap-940	70	4	picture	picture	NOUN
ap-940	70	5	,	,	PUNCT
ap-940	70	6	the	the	DET
ap-940	70	7	space	space	NOUN
ap-940	70	8	of	of	ADP
ap-940	70	9	all	all	DET
ap-940	70	10	physical	physical	ADJ
ap-940	70	11	states	state	NOUN
ap-940	70	12	is	be	AUX
ap-940	70	13	the	the	DET
ap-940	70	14	set	set	NOUN
ap-940	70	15	of	of	ADP
ap-940	70	16	all	all	DET
ap-940	70	17	admissible	admissible	ADJ
ap-940	70	18	initial	initial	ADJ
ap-940	70	19	conditions	condition	NOUN
ap-940	70	20	for	for	ADP
ap-940	70	21	the	the	DET
ap-940	70	22	differential	differential	ADJ
ap-940	70	23	system	system	NOUN
ap-940	70	24	(	(	PUNCT
ap-940	70	25	1	1	NUM
ap-940	70	26	)	)	PUNCT
ap-940	70	27	.	.	PUNCT
ap-940	71	1	the	the	DET
ap-940	71	2	initial	initial	ADJ
ap-940	71	3	condition	condition	NOUN
ap-940	71	4	specified	specify	VERB
ap-940	71	5	at	at	ADP
ap-940	71	6	time	time	NOUN
ap-940	71	7	t0	t0	PROPN
ap-940	71	8	by	by	ADP
ap-940	71	9	the	the	DET
ap-940	71	10	generalized	generalized	ADJ
ap-940	71	11	position	position	NOUN
ap-940	71	12	q	q	PROPN
ap-940	71	13	t	t	PROPN
ap-940	71	14	q	q	PROPN
ap-940	71	15	(	(	PUNCT
ap-940	71	16	)	)	PUNCT
ap-940	71	17	0	0	SYM
ap-940	71	18	0	0	NUM
ap-940	71	19	�	�	PROPN
ap-940	71	20	and	and	CCONJ
ap-940	71	21	velocity	velocity	NOUN
ap-940	71	22	�	�	PROPN
ap-940	71	23	(	(	PUNCT
ap-940	71	24	)	)	PUNCT
ap-940	71	25	q	q	PROPN
ap-940	71	26	t	t	PROPN
ap-940	71	27	v0	v0	NOUN
ap-940	71	28	0	0	NUM
ap-940	71	29	�	�	PROPN
ap-940	71	30	,	,	PUNCT
ap-940	71	31	defines	define	VERB
ap-940	71	32	a	a	DET
ap-940	71	33	point	point	NOUN
ap-940	71	34	(	(	PUNCT
ap-940	71	35	q0	q0	PROPN
ap-940	71	36	,	,	PUNCT
ap-940	71	37	v0	v0	PROPN
ap-940	71	38	,	,	PUNCT
ap-940	71	39	t0	t0	PROPN
ap-940	71	40	)	)	PUNCT
ap-940	71	41	in	in	ADP
ap-940	71	42	an	an	DET
ap-940	71	43	extended	extended	ADJ
ap-940	71	44	tangent	tangent	NOUN
ap-940	71	45	bundletm	bundletm	X
ap-940	71	46	�	�	PROPN
ap-940	71	47	�	�	PROPN
ap-940	71	48	.	.	PUNCT
ap-940	72	1	for	for	ADP
ap-940	72	2	the	the	DET
ap-940	72	3	extended	extend	VERB
ap-940	72	4	tangent	tangent	NOUN
ap-940	72	5	bundle	bundle	NOUN
ap-940	72	6	coordinates	coordinate	NOUN
ap-940	72	7	we	we	PRON
ap-940	72	8	will	will	AUX
ap-940	72	9	use	use	VERB
ap-940	72	10	the	the	DET
ap-940	72	11	(	(	PUNCT
ap-940	72	12	)	)	SYM
ap-940	72	13	2	2	NUM
ap-940	72	14	1n	1n	NUM
ap-940	72	15	�	�	PROPN
ap-940	72	16	-tuple	-tuple	PROPN
ap-940	72	17	�	�	PROPN
ap-940	72	18	�	�	PROPN
ap-940	72	19	q	q	NOUN
ap-940	72	20	q	q	PROPN
ap-940	72	21	v	v	PROPN
ap-940	72	22	v	v	PROPN
ap-940	72	23	tn	tn	NOUN
ap-940	72	24	n1	n1	PROPN
ap-940	72	25	1	1	NUM
ap-940	72	26	,	,	PUNCT
ap-940	72	27	,	,	PUNCT
ap-940	72	28	,	,	PUNCT
ap-940	72	29	,	,	PUNCT
ap-940	72	30	,	,	PUNCT
ap-940	72	31	,	,	PUNCT
ap-940	72	32	�	�	PROPN
ap-940	72	33	�	�	PROPN
ap-940	72	34	.	.	PUNCT
ap-940	73	1	let	let	VERB
ap-940	73	2	us	we	PRON
ap-940	73	3	express	express	VERB
ap-940	73	4	from	from	ADP
ap-940	73	5	(	(	PUNCT
ap-940	73	6	1	1	X
ap-940	73	7	)	)	PUNCT
ap-940	73	8	generalized	generalized	ADJ
ap-940	73	9	accelerations	acceleration	NOUN
ap-940	73	10	as	as	ADP
ap-940	73	11	functions	function	NOUN
ap-940	73	12	of	of	ADP
ap-940	73	13	the	the	DET
ap-940	73	14	remaining	remain	VERB
ap-940	73	15	entries	entry	NOUN
ap-940	73	16	:	:	PUNCT
ap-940	73	17	�	�	PROPN
ap-940	73	18	�	�	PROPN
ap-940	73	19	(	(	PUNCT
ap-940	73	20	,	,	PUNCT
ap-940	73	21	�	�	PROPN
ap-940	73	22	,	,	PUNCT
ap-940	73	23	,	,	PUNCT
ap-940	73	24	)	)	PUNCT
ap-940	73	25	�	�	PROPN
ap-940	73	26	�	�	PROPN
ap-940	73	27	(	(	PUNCT
ap-940	73	28	,	,	PUNCT
ap-940	73	29	�	�	PROPN
ap-940	73	30	,	,	PUNCT
ap-940	73	31	)	)	PUNCT
ap-940	73	32	q	q	PROPN
ap-940	74	1	f	f	X
ap-940	74	2	q	q	X
ap-940	74	3	q	q	PROPN
ap-940	74	4	t	t	PROPN
ap-940	74	5	q	q	NOUN
ap-940	74	6	q	q	X
ap-940	74	7	q	q	X
ap-940	74	8	q	q	X
ap-940	75	1	t	t	NOUN
ap-940	75	2	i	i	PRON
ap-940	76	1	i	i	PRON
ap-940	76	2	i	i	PRON
ap-940	76	3	a	a	DET
ap-940	76	4	a	a	DET
ap-940	76	5	�	�	PROPN
ap-940	76	6	�	�	PROPN
ap-940	76	7	�	�	PROPN
ap-940	76	8	�	�	PROPN
ap-940	76	9	�	�	PROPN
ap-940	76	10	�	�	PROPN
ap-940	76	11	�	�	PROPN
ap-940	76	12	�	�	PROPN
ap-940	76	13	�	�	PROPN
ap-940	76	14	�	�	PROPN
ap-940	76	15	�	�	PROPN
ap-940	76	16	�	�	PROPN
ap-940	76	17	�	�	PROPN
ap-940	76	18	�	�	PROPN
ap-940	76	19	�	�	PROPN
ap-940	76	20	�	�	PROPN
ap-940	76	21	�	�	PROPN
ap-940	76	22	�	�	PROPN
ap-940	76	23	2	2	NUM
ap-940	76	24	1	1	NUM
ap-940	76	25	�	�	PROPN
ap-940	76	26	�	�	PROPN
ap-940	76	27	�	�	PROPN
ap-940	76	28	�	�	PROPN
ap-940	76	29	�	�	PROPN
ap-940	76	30	�	�	PROPN
ap-940	76	31	�	�	PROPN
ap-940	76	32	�	�	PROPN
ap-940	76	33	�	�	PROPN
ap-940	76	34	�	�	PROPN
ap-940	76	35	�	�	PROPN
ap-940	76	36	q	q	PROPN
ap-940	76	37	q	q	X
ap-940	76	38	q	q	X
ap-940	76	39	q	q	X
ap-940	76	40	q	q	X
ap-940	76	41	ta	ta	ADP
ap-940	76	42	a	a	DET
ap-940	76	43	b	b	PROPN
ap-940	76	44	b	b	X
ap-940	76	45	a	a	DET
ap-940	76	46	�	�	PROPN
ap-940	76	47	�	�	PROPN
ap-940	76	48	�	�	PROPN
ap-940	76	49	�	�	PROPN
ap-940	76	50	�	�	PROPN
ap-940	76	51	�	�	PROPN
ap-940	76	52	�	�	PROPN
ap-940	76	53	�	�	PROPN
ap-940	76	54	�	�	PROPN
ap-940	76	55	�	�	PROPN
ap-940	76	56	2	2	NUM
ap-940	76	57	2	2	NUM
ap-940	76	58	�	�	PROPN
ap-940	76	59	�	�	PROPN
ap-940	76	60	�	�	PROPN
ap-940	76	61	.	.	PUNCT
ap-940	77	1	when	when	SCONJ
ap-940	77	2	identifying	identify	VERB
ap-940	77	3	�	�	PROPN
ap-940	77	4	qi	qi	PROPN
ap-940	77	5	with	with	ADP
ap-940	77	6	vi	vi	PROPN
ap-940	77	7	,	,	PUNCT
ap-940	77	8	we	we	PRON
ap-940	77	9	get	get	VERB
ap-940	77	10	instead	instead	ADV
ap-940	77	11	of	of	ADP
ap-940	77	12	(	(	PUNCT
ap-940	77	13	1	1	X
ap-940	77	14	)	)	PUNCT
ap-940	77	15	the	the	DET
ap-940	77	16	system	system	NOUN
ap-940	77	17	of	of	ADP
ap-940	77	18	(	(	PUNCT
ap-940	77	19	2n	2n	NUM
ap-940	77	20	�	�	NOUN
ap-940	77	21	1	1	NUM
ap-940	77	22	)	)	PUNCT
ap-940	77	23	first	first	ADJ
ap-940	77	24	-	-	PUNCT
ap-940	77	25	order	order	NOUN
ap-940	77	26	differential	differential	ADJ
ap-940	77	27	equations	equation	NOUN
ap-940	77	28	in	in	ADP
ap-940	77	29	the	the	DET
ap-940	77	30	extended	extended	ADJ
ap-940	77	31	tangent	tangent	NOUN
ap-940	77	32	bundle	bundle	NOUN
ap-940	77	33	:	:	PUNCT
ap-940	77	34	�	�	PROPN
ap-940	77	35	q	q	PROPN
ap-940	77	36	vi	vi	PROPN
ap-940	77	37	i	i	PRON
ap-940	77	38	�	�	PROPN
ap-940	77	39	,	,	PUNCT
ap-940	77	40	�	�	PROPN
ap-940	77	41	(	(	PUNCT
ap-940	77	42	,	,	PUNCT
ap-940	77	43	,	,	PUNCT
ap-940	77	44	,	,	PUNCT
ap-940	77	45	)	)	PUNCT
ap-940	77	46	v	v	ADP
ap-940	77	47	f	f	PROPN
ap-940	77	48	q	q	NOUN
ap-940	77	49	v	v	INTJ
ap-940	77	50	ti	ti	X
ap-940	77	51	i	i	PROPN
ap-940	77	52	�	�	PROPN
ap-940	77	53	�	�	PROPN
ap-940	77	54	,	,	PUNCT
ap-940	77	55	�	�	PROPN
ap-940	77	56	t	t	PROPN
ap-940	77	57	�	�	PROPN
ap-940	77	58	1	1	NUM
ap-940	77	59	.	.	PUNCT
ap-940	78	1	(	(	PUNCT
ap-940	78	2	3	3	X
ap-940	78	3	)	)	PUNCT
ap-940	78	4	the	the	DET
ap-940	78	5	system	system	NOUN
ap-940	78	6	above	above	ADV
ap-940	78	7	can	can	AUX
ap-940	78	8	be	be	AUX
ap-940	78	9	interpreted	interpret	VERB
ap-940	78	10	as	as	ADP
ap-940	78	11	a	a	DET
ap-940	78	12	coordinate	coordinate	NOUN
ap-940	78	13	expression	expression	NOUN
ap-940	78	14	of	of	ADP
ap-940	78	15	a	a	DET
ap-940	78	16	vector	vector	NOUN
ap-940	78	17	field	field	NOUN
ap-940	78	18	on	on	ADP
ap-940	78	19	tm	tm	PROPN
ap-940	78	20	�	�	PROPN
ap-940	78	21	�	�	PROPN
ap-940	78	22	;	;	VERB
ap-940	78	23	down	down	ADP
ap-940	78	24	-	-	PUNCT
ap-940	78	25	to	to	ADP
ap-940	78	26	-	-	PUNCT
ap-940	78	27	earth	earth	NOUN
ap-940	78	28	,	,	PUNCT
ap-940	78	29	according	accord	VERB
ap-940	78	30	to	to	ADP
ap-940	78	31	(	(	PUNCT
ap-940	78	32	3	3	X
ap-940	78	33	)	)	PUNCT
ap-940	78	34	one	one	NOUN
ap-940	78	35	can	can	AUX
ap-940	78	36	assign	assign	VERB
ap-940	78	37	to	to	ADP
ap-940	78	38	any	any	DET
ap-940	78	39	physical	physical	ADJ
ap-940	78	40	state	state	NOUN
ap-940	78	41	(	(	PUNCT
ap-940	78	42	q	q	NOUN
ap-940	78	43	,	,	PUNCT
ap-940	78	44	v	v	NOUN
ap-940	78	45	,	,	PUNCT
ap-940	78	46	t	t	PROPN
ap-940	78	47	)	)	PUNCT
ap-940	78	48	a	a	DET
ap-940	78	49	tangent	tangent	NOUN
ap-940	78	50	vector	vector	NOUN
ap-940	78	51	�	�	PROPN
ap-940	78	52	(	(	PUNCT
ap-940	78	53	,	,	PUNCT
ap-940	78	54	,	,	PUNCT
ap-940	78	55	)	)	PUNCT
ap-940	78	56	(	(	PUNCT
ap-940	78	57	,	,	PUNCT
ap-940	78	58	,	,	PUNCT
ap-940	78	59	)	)	PUNCT
ap-940	78	60	(	(	PUNCT
ap-940	78	61	,	,	PUNCT
ap-940	78	62	,	,	PUNCT
ap-940	78	63	)	)	PUNCT
ap-940	78	64	(	(	PUNCT
ap-940	78	65	,	,	PUNCT
ap-940	78	66	(	(	PUNCT
ap-940	78	67	,	,	PUNCT
ap-940	78	68	,	,	PUNCT
ap-940	78	69	,	,	PUNCT
ap-940	78	70	)	)	PUNCT
ap-940	78	71	q	q	PROPN
ap-940	79	1	v	v	ADP
ap-940	79	2	t	t	X
ap-940	79	3	t	t	PROPN
ap-940	79	4	q	q	PROPN
ap-940	80	1	v	v	INTJ
ap-940	80	2	t	t	X
ap-940	81	1	i	i	PRON
ap-940	81	2	q	q	PROPN
ap-940	81	3	q	q	X
ap-940	81	4	v	v	ADP
ap-940	81	5	t	t	X
ap-940	82	1	i	i	PRON
ap-940	82	2	v	v	INTJ
ap-940	82	3	q	q	X
ap-940	82	4	v	v	NOUN
ap-940	82	5	v	v	NOUN
ap-940	82	6	f	f	PROPN
ap-940	82	7	q	q	NOUN
ap-940	82	8	v	v	INTJ
ap-940	82	9	t	t	X
ap-940	83	1	i	i	PRON
ap-940	83	2	i	i	PRON
ap-940	83	3	�	�	PROPN
ap-940	83	4	�	�	PROPN
ap-940	83	5	�	�	PROPN
ap-940	83	6	�	�	PROPN
ap-940	83	7	�	�	PROPN
ap-940	83	8	�	�	PROPN
ap-940	83	9	�	�	PROPN
ap-940	83	10	,	,	PUNCT
ap-940	83	11	)	)	PUNCT
ap-940	83	12	(	(	PUNCT
ap-940	83	13	,	,	PUNCT
ap-940	83	14	,	,	PUNCT
ap-940	83	15	)	)	PUNCT
ap-940	83	16	(	(	PUNCT
ap-940	83	17	)	)	PUNCT
ap-940	83	18	.	.	PUNCT
ap-940	84	1	t	t	PROPN
ap-940	84	2	q	q	PROPN
ap-940	84	3	v	v	PROPN
ap-940	84	4	tt	tt	PROPN
ap-940	84	5	tm	tm	PROPN
ap-940	84	6	�	�	PROPN
ap-940	84	7	�	�	PROPN
ap-940	84	8	�	�	PROPN
ap-940	84	9	(	(	PUNCT
ap-940	84	10	4	4	NUM
ap-940	84	11	)	)	PUNCT
ap-940	84	12	the	the	DET
ap-940	84	13	time	time	NOUN
ap-940	84	14	evolution	evolution	NOUN
ap-940	84	15	is	be	AUX
ap-940	84	16	represented	represent	VERB
ap-940	84	17	by	by	ADP
ap-940	84	18	a	a	DET
ap-940	84	19	curve	curve	NOUN
ap-940	84	20	in	in	ADP
ap-940	84	21	the	the	DET
ap-940	84	22	extended	extended	ADJ
ap-940	84	23	tangent	tangent	NOUN
ap-940	84	24	bundle	bundle	NOUN
ap-940	84	25	(	(	PUNCT
ap-940	84	26	see	see	VERB
ap-940	84	27	fig	fig	NOUN
ap-940	84	28	.	.	PUNCT
ap-940	85	1	1	1	NUM
ap-940	85	2	)	)	PUNCT
ap-940	85	3	�	�	NOUN
ap-940	85	4	:	:	PUNCT
ap-940	85	5	[	[	PUNCT
ap-940	85	6	]	]	X
ap-940	85	7	�	�	PROPN
ap-940	85	8	�	�	PROPN
ap-940	85	9	�	�	PROPN
ap-940	85	10	�	�	PROPN
ap-940	85	11	tm	tm	PROPN
ap-940	85	12	,	,	PUNCT
ap-940	85	13	�	�	PROPN
ap-940	85	14	�	�	PROPN
ap-940	85	15	�	�	PROPN
ap-940	85	16	(	(	PUNCT
ap-940	85	17	)	)	PUNCT
ap-940	85	18	�	�	PROPN
ap-940	85	19	�	�	PROPN
ap-940	85	20	q	q	PROPN
ap-940	85	21	q	q	X
ap-940	85	22	,	,	PUNCT
ap-940	85	23	v	v	PROPN
ap-940	85	24	v	v	PRON
ap-940	85	25	�	�	PROPN
ap-940	85	26	(	(	PUNCT
ap-940	85	27	)	)	PUNCT
ap-940	85	28	,	,	PUNCT
ap-940	85	29	such	such	ADJ
ap-940	85	30	that	that	SCONJ
ap-940	85	31	d	d	PROPN
ap-940	85	32	dt	dt	X
ap-940	85	33	�	�	PROPN
ap-940	85	34	�	�	PROPN
ap-940	85	35	�	�	PROPN
ap-940	85	36	(	(	PUNCT
ap-940	85	37	)	)	PUNCT
ap-940	85	38	(	(	PUNCT
ap-940	85	39	)	)	PUNCT
ap-940	85	40	(	(	PUNCT
ap-940	85	41	)	)	PUNCT
ap-940	85	42	�	�	PROPN
ap-940	85	43	�	�	PROPN
ap-940	85	44	.	.	PUNCT
ap-940	86	1	we	we	PRON
ap-940	86	2	have	have	AUX
ap-940	86	3	just	just	ADV
ap-940	86	4	observed	observe	VERB
ap-940	86	5	that	that	SCONJ
ap-940	86	6	classical	classical	ADJ
ap-940	86	7	dynamics	dynamic	NOUN
ap-940	86	8	is	be	AUX
ap-940	86	9	determined	determine	VERB
ap-940	86	10	by	by	ADP
ap-940	86	11	the	the	DET
ap-940	86	12	extended	extended	ADJ
ap-940	86	13	tangent	tangent	NOUN
ap-940	86	14	bundle	bundle	NOUN
ap-940	86	15	vector	vector	NOUN
ap-940	86	16	field	field	NOUN
ap-940	86	17	�	�	PROPN
ap-940	86	18	.	.	PUNCT
ap-940	87	1	having	have	VERB
ap-940	87	2	the	the	DET
ap-940	87	3	function	function	NOUN
ap-940	87	4	�	�	PROPN
ap-940	87	5	(	(	PUNCT
ap-940	87	6	,	,	PUNCT
ap-940	87	7	,	,	PUNCT
ap-940	87	8	)	)	PUNCT
ap-940	87	9	q	q	PROPN
ap-940	88	1	v	v	ADP
ap-940	88	2	t	t	PROPN
ap-940	88	3	and	and	CCONJ
ap-940	88	4	the	the	DET
ap-940	88	5	components	component	NOUN
ap-940	88	6	of	of	ADP
ap-940	88	7	the	the	DET
ap-940	88	8	generalized	generalized	ADJ
ap-940	88	9	force	force	NOUN
ap-940	88	10	�	�	PROPN
ap-940	88	11	(	(	PUNCT
ap-940	88	12	,	,	PUNCT
ap-940	88	13	,	,	PUNCT
ap-940	88	14	)	)	PUNCT
ap-940	88	15	q	q	PROPN
ap-940	89	1	v	v	ADP
ap-940	89	2	t	t	X
ap-940	89	3	we	we	PRON
ap-940	89	4	can	can	AUX
ap-940	89	5	establish	establish	VERB
ap-940	89	6	the	the	DET
ap-940	89	7	two	two	NUM
ap-940	89	8	-	-	PUNCT
ap-940	89	9	form	form	NOUN
ap-940	89	10	�	�	PROPN
ap-940	89	11	�	�	PROPN
ap-940	89	12	�	�	PROPN
ap-940	89	13	�	�	PROPN
ap-940	89	14	�	�	PROPN
ap-940	89	15	�	�	PROPN
ap-940	89	16	�	�	PROPN
ap-940	89	17	:	:	PUNCT
ap-940	89	18	(	(	PUNCT
ap-940	89	19	)	)	PUNCT
ap-940	89	20	�	�	PROPN
ap-940	89	21	�	�	PROPN
ap-940	89	22	�	�	PROPN
ap-940	89	23	�	�	PROPN
ap-940	89	24	�	�	PROPN
ap-940	89	25	�	�	PROPN
ap-940	89	26	�	�	PROPN
ap-940	89	27	�	�	PROPN
ap-940	89	28	i	i	PRON
ap-940	90	1	i	i	PRON
ap-940	91	1	v	v	VERB
ap-940	92	1	i	i	PRON
ap-940	92	2	iq	iq	INTJ
ap-940	93	1	t	t	PROPN
ap-940	93	2	t	t	PROPN
ap-940	93	3	q	q	PROPN
ap-940	93	4	v	v	ADP
ap-940	93	5	tid	tid	NOUN
ap-940	94	1	d	d	X
ap-940	94	2	d	d	PROPN
ap-940	94	3	d	d	X
ap-940	94	4	d	d	PROPN
ap-940	94	5	d	d	X
ap-940	94	6	�	�	PROPN
ap-940	94	7	.	.	PUNCT
ap-940	95	1	(	(	PUNCT
ap-940	95	2	5	5	X
ap-940	95	3	)	)	PUNCT
ap-940	95	4	©	©	PROPN
ap-940	95	5	czech	czech	PROPN
ap-940	95	6	technical	technical	PROPN
ap-940	95	7	university	university	PROPN
ap-940	95	8	publishing	publishing	NOUN
ap-940	95	9	house	house	NOUN
ap-940	95	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	95	11	61	61	NUM
ap-940	95	12	acta	acta	PROPN
ap-940	95	13	polytechnica	polytechnica	PROPN
ap-940	95	14	vol	vol	NOUN
ap-940	95	15	.	.	PUNCT
ap-940	96	1	47	47	NUM
ap-940	96	2	no	no	NOUN
ap-940	96	3	.	.	PUNCT
ap-940	97	1	2–3/2007	2–3/2007	NUM
ap-940	97	2	fig	fig	NOUN
ap-940	97	3	.	.	PUNCT
ap-940	98	1	1	1	NUM
ap-940	98	2	:	:	PUNCT
ap-940	98	3	time	time	NOUN
ap-940	98	4	evolution	evolution	NOUN
ap-940	98	5	in	in	ADP
ap-940	98	6	the	the	DET
ap-940	98	7	lagrangian	lagrangian	ADJ
ap-940	98	8	picture	picture	NOUN
ap-940	98	9	is	be	AUX
ap-940	98	10	bedded	bed	VERB
ap-940	98	11	in	in	ADP
ap-940	98	12	the	the	DET
ap-940	98	13	extended	extended	ADJ
ap-940	98	14	tangent	tangent	NOUN
ap-940	98	15	bundle	bundle	NOUN
ap-940	98	16	.	.	PUNCT
ap-940	99	1	at	at	ADP
ap-940	99	2	each	each	DET
ap-940	99	3	physical	physical	ADJ
ap-940	99	4	state	state	NOUN
ap-940	99	5	(	(	PUNCT
ap-940	99	6	q	q	NOUN
ap-940	99	7	,	,	PUNCT
ap-940	99	8	v	v	NOUN
ap-940	99	9	,	,	PUNCT
ap-940	99	10	t	t	PROPN
ap-940	99	11	)	)	PUNCT
ap-940	99	12	there	there	PRON
ap-940	99	13	is	be	VERB
ap-940	99	14	a	a	DET
ap-940	99	15	uniquely	uniquely	ADV
ap-940	99	16	prescribed	prescribe	VERB
ap-940	99	17	vector	vector	NOUN
ap-940	99	18	�	�	PROPN
ap-940	99	19	(	(	PUNCT
ap-940	99	20	,	,	PUNCT
ap-940	99	21	,	,	PUNCT
ap-940	99	22	)	)	PUNCT
ap-940	99	23	q	q	PROPN
ap-940	99	24	v	v	ADP
ap-940	99	25	t	t	NOUN
ap-940	99	26	,	,	PUNCT
ap-940	99	27	which	which	PRON
ap-940	99	28	defines	define	VERB
ap-940	99	29	the	the	DET
ap-940	99	30	dynamics	dynamic	NOUN
ap-940	99	31	.	.	PUNCT
ap-940	100	1	following	follow	VERB
ap-940	100	2	its	its	PRON
ap-940	100	3	integral	integral	ADJ
ap-940	100	4	curves	curve	NOUN
ap-940	100	5	,	,	PUNCT
ap-940	100	6	the	the	DET
ap-940	100	7	complete	complete	ADJ
ap-940	100	8	time	time	NOUN
ap-940	100	9	evolution	evolution	NOUN
ap-940	100	10	is	be	AUX
ap-940	100	11	recovered	recover	VERB
ap-940	100	12	its	its	PRON
ap-940	100	13	main	main	ADJ
ap-940	100	14	properties	property	NOUN
ap-940	100	15	can	can	AUX
ap-940	100	16	be	be	AUX
ap-940	100	17	summarized	summarize	VERB
ap-940	100	18	as	as	SCONJ
ap-940	100	19	follows	follow	VERB
ap-940	100	20	:	:	PUNCT
ap-940	100	21	�	�	PROPN
ap-940	101	1	it	it	PRON
ap-940	101	2	is	be	AUX
ap-940	101	3	a	a	DET
ap-940	101	4	differential	differential	ADJ
ap-940	101	5	two	two	NUM
ap-940	101	6	-	-	PUNCT
ap-940	101	7	form	form	NOUN
ap-940	101	8	on	on	ADP
ap-940	101	9	the	the	DET
ap-940	101	10	extended	extend	VERB
ap-940	101	11	tangent	tangent	NOUN
ap-940	101	12	bundle	bundle	X
ap-940	101	13	�	�	PROPN
ap-940	101	14	for	for	ADP
ap-940	101	15	any	any	DET
ap-940	101	16	point	point	NOUN
ap-940	101	17	(	(	PUNCT
ap-940	101	18	q	q	NOUN
ap-940	101	19	,	,	PUNCT
ap-940	101	20	v	v	NOUN
ap-940	101	21	,	,	PUNCT
ap-940	101	22	t	t	PROPN
ap-940	101	23	)	)	PUNCT
ap-940	101	24	,	,	PUNCT
ap-940	101	25	it	it	PRON
ap-940	101	26	provides	provide	VERB
ap-940	101	27	the	the	DET
ap-940	101	28	linear	linear	ADJ
ap-940	101	29	map	map	NOUN
ap-940	101	30	�	�	PROPN
ap-940	101	31	�	�	PROPN
ap-940	101	32	�	�	PROPN
ap-940	101	33	�	�	PROPN
ap-940	101	34	�	�	PROPN
ap-940	101	35	�	�	PROPN
ap-940	101	36	�	�	PROPN
ap-940	101	37	�	�	PROPN
ap-940	101	38	:	:	PUNCT
ap-940	101	39	(	(	PUNCT
ap-940	101	40	)	)	PUNCT
ap-940	101	41	(	(	PUNCT
ap-940	101	42	)	)	PUNCT
ap-940	101	43	,	,	PUNCT
ap-940	101	44	:	:	PUNCT
ap-940	101	45	(	(	PUNCT
ap-940	101	46	,	,	PUNCT
ap-940	101	47	)	)	PUNCT
ap-940	101	48	(	(	PUNCT
ap-940	101	49	,	,	PUNCT
ap-940	101	50	,	,	PUNCT
ap-940	101	51	)	)	PUNCT
ap-940	101	52	(	(	PUNCT
ap-940	101	53	,	,	PUNCT
ap-940	101	54	,	,	PUNCT
ap-940	101	55	)	)	PUNCT
ap-940	102	1	*	*	PUNCT
ap-940	102	2	t	t	PROPN
ap-940	102	3	tm	tm	PROPN
ap-940	102	4	t	t	PROPN
ap-940	102	5	tmq	tmq	PROPN
ap-940	102	6	v	v	ADP
ap-940	102	7	t	t	PROPN
ap-940	102	8	q	q	PROPN
ap-940	102	9	v	v	PROPN
ap-940	102	10	t	t	PROPN
ap-940	102	11	�	�	PROPN
ap-940	102	12	�	�	PROPN
ap-940	102	13	w	w	PROPN
ap-940	102	14	w	w	PROPN
ap-940	102	15	w	w	PROPN
ap-940	102	16	�	�	PROPN
ap-940	102	17	�	�	PROPN
ap-940	102	18	�	�	PROPN
ap-940	102	19	�	�	PROPN
ap-940	102	20	�	�	PROPN
ap-940	102	21	if	if	SCONJ
ap-940	102	22	�	�	PROPN
ap-940	102	23	is	be	AUX
ap-940	102	24	nonsingular	nonsingular	ADJ
ap-940	102	25	�	�	PROPN
ap-940	102	26	�	�	PROPN
ap-940	102	27	�	�	PROPN
ap-940	102	28	�	�	PROPN
ap-940	102	29	v	v	ADP
ap-940	102	30	vi	vi	PROPN
ap-940	102	31	a	a	DET
ap-940	102	32	2	2	NUM
ap-940	102	33	(	(	PUNCT
ap-940	102	34	)	)	PUNCT
ap-940	102	35	�	�	PROPN
ap-940	102	36	is	be	AUX
ap-940	102	37	invertible	invertible	ADJ
ap-940	102	38	,	,	PUNCT
ap-940	102	39	then	then	ADV
ap-940	102	40	the	the	DET
ap-940	102	41	kernel	kernel	PROPN
ap-940	102	42	�	�	PROPN
ap-940	102	43	of	of	ADP
ap-940	102	44	the	the	DET
ap-940	102	45	above	above	ADJ
ap-940	102	46	contraction	contraction	NOUN
ap-940	102	47	is	be	AUX
ap-940	102	48	one	one	NUM
ap-940	102	49	-	-	PUNCT
ap-940	102	50	dimensional	dimensional	ADJ
ap-940	102	51	and	and	CCONJ
ap-940	102	52	it	it	PRON
ap-940	102	53	is	be	AUX
ap-940	102	54	spanned	span	VERB
ap-940	102	55	by	by	ADP
ap-940	102	56	the	the	DET
ap-940	102	57	vector	vector	PROPN
ap-940	102	58	�	�	PROPN
ap-940	102	59	(	(	PUNCT
ap-940	102	60	,	,	PUNCT
ap-940	102	61	,	,	PUNCT
ap-940	102	62	)	)	PUNCT
ap-940	102	63	q	q	PROPN
ap-940	103	1	v	v	ADP
ap-940	103	2	t	t	NOUN
ap-940	103	3	;	;	PUNCT
ap-940	103	4	the	the	DET
ap-940	103	5	subspace	subspace	PROPN
ap-940	103	6	�	�	PROPN
ap-940	103	7	is	be	AUX
ap-940	103	8	called	call	VERB
ap-940	103	9	the	the	DET
ap-940	103	10	null	null	ADJ
ap-940	103	11	-	-	PUNCT
ap-940	103	12	space	space	NOUN
ap-940	103	13	of	of	ADP
ap-940	103	14	�	�	PROPN
ap-940	103	15	�	�	PROPN
ap-940	103	16	whenever	whenever	SCONJ
ap-940	103	17	�	�	PROPN
ap-940	103	18	is	be	AUX
ap-940	103	19	potential	potential	ADJ
ap-940	103	20	-	-	PUNCT
ap-940	103	21	generated	generate	VERB
ap-940	103	22	�	�	PROPN
ap-940	103	23	�	�	PROPN
ap-940	103	24	�	�	PROPN
ap-940	103	25	�	�	PROPN
ap-940	103	26	�	�	PROPN
ap-940	103	27	�	�	PROPN
ap-940	103	28	�	�	PROPN
ap-940	103	29	�	�	PROPN
ap-940	103	30	�	�	PROPN
ap-940	103	31	�	�	PROPN
ap-940	103	32	�	�	PROPN
ap-940	103	33	�	�	PROPN
ap-940	103	34	�	�	PROPN
ap-940	103	35	�	�	PROPN
ap-940	103	36	�	�	PROPN
ap-940	103	37	�	�	PROPN
ap-940	103	38	�	�	PROPN
ap-940	103	39	�	�	PROPN
ap-940	103	40	�	�	PROPN
ap-940	103	41	�	�	PROPN
ap-940	103	42	�	�	PROPN
ap-940	104	1	i	i	PRON
ap-940	104	2	i	i	PRON
ap-940	104	3	iq	iq	VERB
ap-940	104	4	t	t	PROPN
ap-940	104	5	v	v	NUM
ap-940	105	1	�	�	PROPN
ap-940	105	2	�	�	PROPN
ap-940	105	3	�	�	PROPN
ap-940	105	4	�	�	PROPN
ap-940	105	5	d	d	PROPN
ap-940	105	6	d	d	PROPN
ap-940	105	7	,	,	PUNCT
ap-940	105	8	then	then	ADV
ap-940	105	9	�	�	PROPN
ap-940	105	10	is	be	AUX
ap-940	105	11	exact	exact	ADJ
ap-940	105	12	,	,	PUNCT
ap-940	105	13	i.e.	i.e.	X
ap-940	105	14	�	�	PROPN
ap-940	105	15	�	�	PROPN
ap-940	105	16	d	d	PROPN
ap-940	105	17	�	�	PROPN
ap-940	105	18	�	�	PROPN
ap-940	105	19	,	,	PUNCT
ap-940	105	20	where	where	SCONJ
ap-940	105	21	�	�	PROPN
ap-940	105	22	�	�	PROPN
ap-940	105	23	�	�	PROPN
ap-940	105	24	�	�	PROPN
ap-940	105	25	�	�	PROPN
ap-940	105	26	�	�	PROPN
ap-940	105	27	:	:	PUNCT
ap-940	105	28	(	(	PUNCT
ap-940	105	29	)	)	PUNCT
ap-940	105	30	�	�	PROPN
ap-940	105	31	�	�	PROPN
ap-940	105	32	�	�	PROPN
ap-940	105	33	d	d	PROPN
ap-940	105	34	d	d	X
ap-940	105	35	dt	dt	X
ap-940	105	36	q	q	PROPN
ap-940	105	37	v	v	NOUN
ap-940	105	38	tv	tv	NOUN
ap-940	106	1	i	i	PRON
ap-940	106	2	i	i	PRON
ap-940	107	1	i	i	PRON
ap-940	107	2	is	be	AUX
ap-940	107	3	the	the	DET
ap-940	107	4	lepage	lepage	NOUN
ap-940	107	5	one	one	NUM
ap-940	107	6	-	-	PUNCT
ap-940	107	7	form	form	NOUN
ap-940	107	8	on	on	ADP
ap-940	107	9	the	the	DET
ap-940	107	10	extended	extended	ADJ
ap-940	107	11	tangent	tangent	NOUN
ap-940	107	12	bundle	bundle	NOUN
ap-940	107	13	that	that	PRON
ap-940	107	14	is	be	AUX
ap-940	107	15	associated	associate	VERB
ap-940	107	16	to	to	ADP
ap-940	107	17	the	the	DET
ap-940	107	18	lagrangian	lagrangian	ADJ
ap-940	107	19	�	�	PROPN
ap-940	107	20	�	�	PROPN
ap-940	107	21	�	�	PROPN
ap-940	107	22	�	�	PROPN
ap-940	107	23	�	�	PROPN
ap-940	107	24	.	.	PUNCT
ap-940	108	1	�	�	PROPN
ap-940	108	2	the	the	DET
ap-940	108	3	two	two	NUM
ap-940	108	4	-	-	PUNCT
ap-940	108	5	form	form	NOUN
ap-940	108	6	�	�	NOUN
ap-940	108	7	and	and	CCONJ
ap-940	108	8	also	also	ADV
ap-940	108	9	the	the	DET
ap-940	108	10	one	one	NUM
ap-940	108	11	-	-	PUNCT
ap-940	108	12	form	form	NOUN
ap-940	108	13	�	�	NOUN
ap-940	108	14	�	�	PROPN
ap-940	108	15	are	be	AUX
ap-940	108	16	invariant	invariant	ADJ
ap-940	108	17	with	with	ADP
ap-940	108	18	respect	respect	NOUN
ap-940	108	19	to	to	ADP
ap-940	108	20	the	the	DET
ap-940	108	21	group	group	NOUN
ap-940	108	22	of	of	ADP
ap-940	108	23	diffeomorphisms	diffeomorphism	NOUN
ap-940	108	24	of	of	ADP
ap-940	108	25	the	the	DET
ap-940	108	26	“	"	PUNCT
ap-940	108	27	space	space	NOUN
ap-940	108	28	-	-	PUNCT
ap-940	108	29	time	time	NOUN
ap-940	108	30	”	"	PUNCT
ap-940	108	31	m	m	PROPN
ap-940	108	32	�	�	PROPN
ap-940	108	33	�	�	PROPN
ap-940	108	34	,	,	PUNCT
ap-940	108	35	which	which	PRON
ap-940	108	36	are	be	AUX
ap-940	108	37	of	of	ADP
ap-940	108	38	the	the	DET
ap-940	108	39	form	form	NOUN
ap-940	108	40	:	:	PUNCT
ap-940	108	41	�	�	PROPN
ap-940	108	42	(	(	PUNCT
ap-940	108	43	,	,	PUNCT
ap-940	108	44	)	)	PUNCT
ap-940	108	45	(	(	PUNCT
ap-940	108	46	,	,	PUNCT
ap-940	108	47	)	)	PUNCT
ap-940	108	48	,	,	PUNCT
ap-940	108	49	q	q	PROPN
ap-940	108	50	t	t	PROPN
ap-940	108	51	q	q	X
ap-940	108	52	q	q	X
ap-940	108	53	q	q	X
ap-940	109	1	t	t	NOUN
ap-940	109	2	t	t	X
ap-940	109	3	ti	ti	PROPN
ap-940	110	1	i	i	PRON
ap-940	110	2	i	i	PROPN
ap-940	110	3	�	�	PROPN
ap-940	110	4	�	�	PROPN
ap-940	110	5	�	�	PROPN
ap-940	110	6	so	so	SCONJ
ap-940	110	7	we	we	PRON
ap-940	110	8	can	can	AUX
ap-940	110	9	claim	claim	VERB
ap-940	110	10	:	:	PUNCT
ap-940	111	1	lagrangian	lagrangian	ADJ
ap-940	111	2	mechanics	mechanic	NOUN
ap-940	111	3	is	be	AUX
ap-940	111	4	determined	determine	VERB
ap-940	111	5	by	by	ADP
ap-940	111	6	the	the	DET
ap-940	111	7	null	null	NOUN
ap-940	111	8	-	-	PUNCT
ap-940	111	9	spaces	space	NOUN
ap-940	111	10	of	of	ADP
ap-940	111	11	the	the	DET
ap-940	111	12	distinguished	distinguished	ADJ
ap-940	111	13	two	two	NUM
ap-940	111	14	-	-	PUNCT
ap-940	111	15	form	form	NOUN
ap-940	111	16	�	�	NOUN
ap-940	111	17	.	.	PUNCT
ap-940	111	18	finding	find	VERB
ap-940	111	19	them	they	PRON
ap-940	111	20	,	,	PUNCT
ap-940	111	21	it	it	PRON
ap-940	111	22	is	be	AUX
ap-940	111	23	enough	enough	ADJ
ap-940	111	24	to	to	PART
ap-940	111	25	pick	pick	VERB
ap-940	111	26	up	up	ADP
ap-940	111	27	at	at	ADP
ap-940	111	28	each	each	DET
ap-940	111	29	null	null	ADJ
ap-940	111	30	subspace	subspace	NOUN
ap-940	111	31	�	�	PROPN
ap-940	111	32	a	a	DET
ap-940	111	33	vector	vector	NOUN
ap-940	111	34	w	w	NOUN
ap-940	111	35	for	for	ADP
ap-940	111	36	which	which	PRON
ap-940	111	37	w	w	PROPN
ap-940	111	38	�	�	PROPN
ap-940	111	39	�	�	PROPN
ap-940	111	40	dt	dt	NOUN
ap-940	111	41	1	1	NUM
ap-940	111	42	.	.	PUNCT
ap-940	112	1	doing	do	VERB
ap-940	112	2	this	this	PRON
ap-940	112	3	,	,	PUNCT
ap-940	112	4	we	we	PRON
ap-940	112	5	are	be	AUX
ap-940	112	6	point	point	ADV
ap-940	112	7	-	-	PUNCT
ap-940	112	8	wisely	wisely	ADV
ap-940	112	9	reconstructing	reconstruct	VERB
ap-940	112	10	the	the	DET
ap-940	112	11	dynamical	dynamical	ADJ
ap-940	112	12	vector	vector	NOUN
ap-940	112	13	field	field	NOUN
ap-940	112	14	(	(	PUNCT
ap-940	112	15	4	4	NUM
ap-940	112	16	)	)	PUNCT
ap-940	112	17	.	.	PUNCT
ap-940	113	1	its	its	PRON
ap-940	113	2	integral	integral	ADJ
ap-940	113	3	curves	curve	NOUN
ap-940	113	4	are	be	AUX
ap-940	113	5	solutions	solution	NOUN
ap-940	113	6	of	of	ADP
ap-940	113	7	the	the	DET
ap-940	113	8	lagrange	lagrange	PROPN
ap-940	113	9	equations	equation	NOUN
ap-940	113	10	.	.	PUNCT
ap-940	114	1	3	3	NUM
ap-940	114	2	variational	variational	ADJ
ap-940	114	3	principle	principle	NOUN
ap-940	114	4	and	and	CCONJ
ap-940	114	5	“	"	PUNCT
ap-940	114	6	umbilical	umbilical	ADJ
ap-940	114	7	strings	string	NOUN
ap-940	114	8	”	"	PUNCT
ap-940	114	9	suppose	suppose	VERB
ap-940	114	10	there	there	PRON
ap-940	114	11	are	be	VERB
ap-940	114	12	given	give	VERB
ap-940	114	13	newton	newton	PROPN
ap-940	114	14	-	-	PUNCT
ap-940	114	15	lagrange	lagrange	PROPN
ap-940	114	16	type	type	NOUN
ap-940	114	17	equations	equation	NOUN
ap-940	114	18	of	of	ADP
ap-940	114	19	motion	motion	NOUN
ap-940	114	20	with	with	ADP
ap-940	114	21	forces	force	NOUN
ap-940	114	22	of	of	ADP
ap-940	114	23	any	any	DET
ap-940	114	24	origin	origin	NOUN
ap-940	114	25	:	:	PUNCT
ap-940	114	26	�	�	PROPN
ap-940	114	27	,	,	PUNCT
ap-940	114	28	�	�	PROPN
ap-940	114	29	(	(	PUNCT
ap-940	114	30	,	,	PUNCT
ap-940	114	31	,	,	PUNCT
ap-940	114	32	)	)	PUNCT
ap-940	115	1	ker	ker	NOUN
ap-940	116	1	(	(	PUNCT
ap-940	116	2	q	q	NOUN
ap-940	116	3	v	v	NOUN
ap-940	116	4	v	v	X
ap-940	116	5	f	f	PROPN
ap-940	116	6	q	q	NOUN
ap-940	116	7	v	v	INTJ
ap-940	116	8	ti	ti	NOUN
ap-940	117	1	i	i	PRON
ap-940	118	1	i	i	PRON
ap-940	119	1	i	i	PROPN
ap-940	119	2	�	�	PROPN
ap-940	119	3	�	�	PROPN
ap-940	119	4	�	�	PROPN
ap-940	119	5	nel	nel	PROPN
ap-940	119	6	of	of	ADP
ap-940	119	7	made	make	VERB
ap-940	119	8	of	of	ADP
ap-940	119	9	the	the	DET
ap-940	119	10	ingredient	ingredient	NOUN
ap-940	119	11	�	�	PROPN
ap-940	119	12	s	s	PART
ap-940	119	13	and	and	CCONJ
ap-940	119	14	�	�	PROPN
ap-940	119	15	�	�	PROPN
ap-940	119	16	�	�	PROPN
ap-940	119	17	�	�	PROPN
ap-940	119	18	1	1	NUM
ap-940	119	19	2	2	NUM
ap-940	119	20	�	�	PROPN
ap-940	119	21	ab	ab	PROPN
ap-940	119	22	a	a	DET
ap-940	119	23	b	b	NOUN
ap-940	120	1	i	i	PRON
ap-940	120	2	iv	iv	VERB
ap-940	120	3	v	v	ADP
ap-940	120	4	f	f	PROPN
ap-940	120	5	)	)	PUNCT
ap-940	120	6	(	(	PUNCT
ap-940	120	7	6	6	NUM
ap-940	120	8	)	)	PUNCT
ap-940	120	9	in	in	ADP
ap-940	120	10	what	what	PRON
ap-940	120	11	follows	follow	VERB
ap-940	120	12	we	we	PRON
ap-940	120	13	will	will	AUX
ap-940	120	14	provide	provide	VERB
ap-940	120	15	a	a	DET
ap-940	120	16	variational	variational	ADJ
ap-940	120	17	principle	principle	NOUN
ap-940	120	18	for	for	ADP
ap-940	120	19	the	the	DET
ap-940	120	20	above	above	ADJ
ap-940	120	21	set	set	NOUN
ap-940	120	22	of	of	ADP
ap-940	120	23	differential	differential	ADJ
ap-940	120	24	equations	equation	NOUN
ap-940	120	25	just	just	ADV
ap-940	120	26	in	in	ADP
ap-940	120	27	terms	term	NOUN
ap-940	120	28	of	of	ADP
ap-940	120	29	the	the	DET
ap-940	120	30	distinguished	distinguished	ADJ
ap-940	120	31	two	two	NUM
ap-940	120	32	-	-	PUNCT
ap-940	120	33	form	form	NOUN
ap-940	120	34	�	�	PROPN
ap-940	120	35	introduced	introduce	VERB
ap-940	120	36	above	above	ADV
ap-940	120	37	.	.	PUNCT
ap-940	121	1	variation	variation	NOUN
ap-940	121	2	will	will	AUX
ap-940	121	3	be	be	AUX
ap-940	121	4	carried	carry	VERB
ap-940	121	5	over	over	ADP
ap-940	121	6	bit	bit	NOUN
ap-940	121	7	peculiar	peculiar	ADJ
ap-940	121	8	objects	object	NOUN
ap-940	121	9	,	,	PUNCT
ap-940	121	10	namely	namely	ADV
ap-940	121	11	the	the	DET
ap-940	121	12	surfaces	surface	NOUN
ap-940	121	13	in	in	ADP
ap-940	121	14	the	the	DET
ap-940	121	15	extended	extended	ADJ
ap-940	121	16	tangent	tangent	NOUN
ap-940	121	17	bundle	bundle	NOUN
ap-940	121	18	.	.	PUNCT
ap-940	122	1	down	down	ADP
ap-940	122	2	-	-	PUNCT
ap-940	122	3	to	to	ADP
ap-940	122	4	-	-	PUNCT
ap-940	122	5	earth	earth	NOUN
ap-940	122	6	,	,	PUNCT
ap-940	122	7	let	let	VERB
ap-940	122	8	us	we	PRON
ap-940	122	9	fix	fix	VERB
ap-940	122	10	�	�	PROPN
ap-940	122	11	two	two	NUM
ap-940	122	12	points	point	NOUN
ap-940	122	13	in	in	ADP
ap-940	122	14	the	the	DET
ap-940	122	15	extended	extended	ADJ
ap-940	122	16	configuration	configuration	NOUN
ap-940	122	17	space	space	NOUN
ap-940	122	18	m	m	PROPN
ap-940	122	19	�	�	PROPN
ap-940	122	20	�	�	PROPN
ap-940	122	21	,	,	PUNCT
ap-940	122	22	initial	initial	ADJ
ap-940	122	23	and	and	CCONJ
ap-940	122	24	final	final	ADJ
ap-940	122	25	events	event	NOUN
ap-940	122	26	(	(	PUNCT
ap-940	122	27	q0	q0	PROPN
ap-940	122	28	,	,	PUNCT
ap-940	122	29	t0	t0	PROPN
ap-940	122	30	)	)	PUNCT
ap-940	122	31	and	and	CCONJ
ap-940	122	32	(	(	PUNCT
ap-940	122	33	q1	q1	PROPN
ap-940	122	34	,	,	PUNCT
ap-940	122	35	t1	t1	NOUN
ap-940	122	36	)	)	PUNCT
ap-940	122	37	�	�	PROPN
ap-940	122	38	any	any	DET
ap-940	122	39	extended	extended	ADJ
ap-940	122	40	tangent	tangent	NOUN
ap-940	122	41	bundle	bundle	NOUN
ap-940	122	42	curve	curve	PROPN
ap-940	122	43	�	�	PROPN
ap-940	122	44	�	�	PROPN
ap-940	122	45	ref	ref	NOUN
ap-940	122	46	:	:	PUNCT
ap-940	122	47	,	,	PUNCT
ap-940	122	48	(	(	PUNCT
ap-940	122	49	)	)	PUNCT
ap-940	122	50	,	,	PUNCT
ap-940	122	51	(	(	PUNCT
ap-940	122	52	)	)	PUNCT
ap-940	122	53	,	,	PUNCT
ap-940	122	54	�	�	PROPN
ap-940	122	55	�	�	PROPN
ap-940	122	56	�	�	PROPN
ap-940	122	57	�	�	PROPN
ap-940	122	58	�	�	PROPN
ap-940	122	59	�	�	PROPN
ap-940	122	60	t	t	PROPN
ap-940	122	61	t	t	PROPN
ap-940	122	62	q	q	PROPN
ap-940	122	63	q	q	PROPN
ap-940	122	64	v	v	NOUN
ap-940	122	65	v	v	ADP
ap-940	122	66	t	t	NOUN
ap-940	122	67	tm0	tm0	NOUN
ap-940	122	68	1	1	NUM
ap-940	122	69	�	�	PROPN
ap-940	122	70	�	�	PROPN
ap-940	122	71	,	,	PUNCT
ap-940	122	72	such	such	ADJ
ap-940	122	73	that	that	SCONJ
ap-940	122	74	q	q	PROPN
ap-940	122	75	t	t	PROPN
ap-940	122	76	q	q	PROPN
ap-940	122	77	(	(	PUNCT
ap-940	122	78	)	)	PUNCT
ap-940	122	79	0	0	SYM
ap-940	122	80	0	0	NUM
ap-940	122	81	�	�	PROPN
ap-940	122	82	and	and	CCONJ
ap-940	122	83	q	q	PROPN
ap-940	122	84	t	t	PROPN
ap-940	122	85	q	q	PROPN
ap-940	122	86	(	(	PUNCT
ap-940	122	87	)	)	SYM
ap-940	122	88	1	1	NUM
ap-940	122	89	1	1	NUM
ap-940	122	90	�	�	NOUN
ap-940	122	91	the	the	DET
ap-940	122	92	space	space	NOUN
ap-940	122	93	of	of	ADP
ap-940	122	94	admissible	admissible	ADJ
ap-940	122	95	“	"	PUNCT
ap-940	122	96	umbilical	umbilical	ADJ
ap-940	122	97	surfaces	surface	NOUN
ap-940	122	98	”	"	PUNCT
ap-940	122	99	of	of	ADP
ap-940	122	100	the	the	DET
ap-940	122	101	reference	reference	NOUN
ap-940	122	102	curve	curve	NOUN
ap-940	122	103	�	�	PROPN
ap-940	122	104	ref	ref	NOUN
ap-940	122	105	is	be	AUX
ap-940	122	106	defined	define	VERB
ap-940	122	107	as	as	SCONJ
ap-940	122	108	follows	follow	VERB
ap-940	122	109	:	:	PUNCT
ap-940	122	110	�	�	PROPN
ap-940	122	111	umb	umb	PROPN
ap-940	122	112	(	(	PUNCT
ap-940	122	113	):	):	PUNCT
ap-940	122	114	:(	:(	PUNCT
ap-940	122	115	,	,	PUNCT
ap-940	122	116	)	)	PUNCT
ap-940	122	117	,	,	PUNCT
ap-940	122	118	,	,	PUNCT
ap-940	122	119	(	(	PUNCT
ap-940	122	120	,	,	PUNCT
ap-940	122	121	)	)	PUNCT
ap-940	122	122	(	(	PUNCT
ap-940	122	123	,	,	PUNCT
ap-940	122	124	)	)	PUNCT
ap-940	122	125	,	,	PUNCT
ap-940	122	126	(	(	PUNCT
ap-940	122	127	�	�	PROPN
ap-940	122	128	ref	ref	NOUN
ap-940	122	129	�	�	PROPN
ap-940	122	130	�	�	PROPN
ap-940	122	131	�	�	PROPN
ap-940	122	132	�	�	PROPN
ap-940	122	133	�	�	PROPN
ap-940	122	134	�	�	PROPN
ap-940	122	135	�	�	PROPN
ap-940	122	136	�	�	PROPN
ap-940	122	137	t	t	PROPN
ap-940	122	138	t	t	PROPN
ap-940	122	139	q	q	NOUN
ap-940	122	140	q	q	PROPN
ap-940	122	141	v	v	NUM
ap-940	122	142	v	v	NOUN
ap-940	122	143	0	0	NUM
ap-940	122	144	1	1	NUM
ap-940	122	145	01	01	NUM
ap-940	122	146	�	�	PROPN
ap-940	122	147	�	�	PROPN
ap-940	122	148	,	,	PUNCT
ap-940	122	149	)	)	PUNCT
ap-940	122	150	,	,	PUNCT
ap-940	122	151	,	,	PUNCT
ap-940	122	152	:	:	PUNCT
ap-940	122	153	t	t	PROPN
ap-940	122	154	tm	tm	PROPN
ap-940	122	155	q	q	PROPN
ap-940	122	156	�	�	PROPN
ap-940	122	157	�	�	PROPN
ap-940	122	158	�	�	PROPN
ap-940	122	159	�	�	PROPN
ap-940	122	160	such	such	ADJ
ap-940	122	161	that	that	PRON
ap-940	122	162	for	for	ADP
ap-940	122	163	all	all	DET
ap-940	122	164	values	value	NOUN
ap-940	122	165	of	of	ADP
ap-940	122	166	the	the	DET
ap-940	122	167	parameter	parameter	NOUN
ap-940	122	168	(	(	PUNCT
ap-940	122	169	,	,	PUNCT
ap-940	122	170	)	)	PUNCT
ap-940	122	171	,	,	PUNCT
ap-940	122	172	(	(	PUNCT
ap-940	122	173	,	,	PUNCT
ap-940	122	174	)	)	PUNCT
ap-940	122	175	:	:	PUNCT
ap-940	122	176	(	(	PUNCT
ap-940	122	177	,	,	PUNCT
ap-940	122	178	)	)	PUNCT
ap-940	122	179	�	�	PROPN
ap-940	122	180	�	�	PROPN
ap-940	122	181	�	�	PROPN
ap-940	122	182	�	�	PROPN
ap-940	122	183	�	�	PROPN
ap-940	122	184	�	�	PROPN
ap-940	122	185	�	�	PROPN
ap-940	122	186	t	t	PROPN
ap-940	122	187	q	q	X
ap-940	122	188	q	q	PROPN
ap-940	122	189	t	t	NOUN
ap-940	122	190	q0	q0	VERB
ap-940	122	191	0	0	NUM
ap-940	122	192	1	1	NUM
ap-940	122	193	1	1	NUM
ap-940	122	194	0of	0of	NOUN
ap-940	123	1	the	the	DET
ap-940	123	2	parameter	parameter	PROPN
ap-940	123	3	�	�	PROPN
ap-940	123	4	�	�	PROPN
ap-940	123	5	ref	ref	NOUN
ap-940	123	6	(	(	PUNCT
ap-940	123	7	)	)	PUNCT
ap-940	123	8	.	.	PUNCT
ap-940	124	1	here	here	ADV
ap-940	124	2	�	�	PROPN
ap-940	124	3	t	t	PROPN
ap-940	124	4	t0	t0	PROPN
ap-940	124	5	1	1	NUM
ap-940	124	6	,	,	PUNCT
ap-940	124	7	is	be	AUX
ap-940	124	8	the	the	DET
ap-940	124	9	time	time	NOUN
ap-940	124	10	parameter	parameter	NOUN
ap-940	124	11	,	,	PUNCT
ap-940	124	12	is	be	AUX
ap-940	124	13	some	some	DET
ap-940	124	14	“	"	PUNCT
ap-940	124	15	worldsheet	worldsheet	ADJ
ap-940	124	16	”	"	PUNCT
ap-940	124	17	distance	distance	NOUN
ap-940	124	18	coordinate	coordinate	NOUN
ap-940	124	19	from	from	ADP
ap-940	124	20	the	the	DET
ap-940	124	21	unit	unit	NOUN
ap-940	124	22	interval	interval	NOUN
ap-940	124	23	and	and	CCONJ
ap-940	124	24	the	the	DET
ap-940	124	25	second	second	ADJ
ap-940	124	26	edge	edge	NOUN
ap-940	124	27	curve	curve	NOUN
ap-940	124	28	�	�	PROPN
ap-940	124	29	(	(	PUNCT
ap-940	124	30	):	):	PUNCT
ap-940	124	31	(	(	PUNCT
ap-940	124	32	,	,	PUNCT
ap-940	124	33	)	)	PUNCT
ap-940	124	34	�	�	PROPN
ap-940	124	35	�	�	PROPN
ap-940	124	36	�	�	PROPN
ap-940	124	37	1	1	NUM
ap-940	124	38	,	,	PUNCT
ap-940	124	39	see	see	VERB
ap-940	124	40	fig	fig	NOUN
ap-940	124	41	.	.	PUNCT
ap-940	125	1	2	2	NUM
ap-940	125	2	.	.	NUM
ap-940	125	3	62	62	NUM
ap-940	125	4	©	©	PROPN
ap-940	125	5	czech	czech	PROPN
ap-940	125	6	technical	technical	PROPN
ap-940	125	7	university	university	PROPN
ap-940	125	8	publishing	publishing	NOUN
ap-940	125	9	house	house	NOUN
ap-940	125	10	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	125	11	acta	acta	PROPN
ap-940	125	12	polytechnica	polytechnica	PROPN
ap-940	125	13	vol	vol	NOUN
ap-940	125	14	.	.	PUNCT
ap-940	126	1	47	47	NUM
ap-940	126	2	no	no	NOUN
ap-940	126	3	.	.	PUNCT
ap-940	127	1	2–3/2007	2–3/2007	NUM
ap-940	127	2	fig	fig	NOUN
ap-940	127	3	.	.	PUNCT
ap-940	128	1	2	2	NUM
ap-940	128	2	:	:	PUNCT
ap-940	128	3	oriented	oriented	ADJ
ap-940	128	4	“	"	PUNCT
ap-940	128	5	umbilical	umbilical	ADJ
ap-940	128	6	surface	surface	NOUN
ap-940	128	7	”	"	PUNCT
ap-940	128	8	�	�	PROPN
ap-940	128	9	connects	connect	VERB
ap-940	128	10	the	the	DET
ap-940	128	11	reference	reference	NOUN
ap-940	128	12	curve	curve	NOUN
ap-940	128	13	�	�	PROPN
ap-940	128	14	ref	ref	NOUN
ap-940	128	15	with	with	ADP
ap-940	128	16	the	the	DET
ap-940	128	17	“	"	PUNCT
ap-940	128	18	history	history	NOUN
ap-940	128	19	”	"	PUNCT
ap-940	128	20	�	�	PROPN
ap-940	128	21	(	(	PUNCT
ap-940	128	22	)	)	PUNCT
ap-940	128	23	(	(	PUNCT
ap-940	128	24	,	,	PUNCT
ap-940	128	25	)	)	PUNCT
ap-940	128	26	�	�	PROPN
ap-940	128	27	�	�	PROPN
ap-940	128	28	�	�	PROPN
ap-940	128	29	1	1	NUM
ap-940	128	30	.	.	PUNCT
ap-940	129	1	sideways	sideways	PROPN
ap-940	129	2	boundary	boundary	ADJ
ap-940	129	3	curves	curve	NOUN
ap-940	129	4	�	�	PROPN
ap-940	129	5	0	0	NUM
ap-940	129	6	0	0	NUM
ap-940	129	7	(	(	PUNCT
ap-940	129	8	)	)	PUNCT
ap-940	129	9	(	(	PUNCT
ap-940	129	10	,	,	PUNCT
ap-940	129	11	)	)	PUNCT
ap-940	129	12	�	�	PROPN
ap-940	129	13	�	�	PROPN
ap-940	129	14	t	t	PROPN
ap-940	129	15	and	and	CCONJ
ap-940	129	16	�	�	PROPN
ap-940	129	17	1	1	NUM
ap-940	129	18	1	1	NUM
ap-940	129	19	(	(	PUNCT
ap-940	129	20	)	)	PUNCT
ap-940	129	21	(	(	PUNCT
ap-940	129	22	,	,	PUNCT
ap-940	129	23	)	)	PUNCT
ap-940	129	24	�	�	PROPN
ap-940	129	25	�	�	PROPN
ap-940	129	26	t	t	PROPN
ap-940	129	27	are	be	AUX
ap-940	129	28	located	locate	VERB
ap-940	129	29	within	within	ADP
ap-940	129	30	the	the	DET
ap-940	129	31	n	n	ADV
ap-940	129	32	-	-	PUNCT
ap-940	129	33	dimensional	dimensional	ADJ
ap-940	129	34	submanifolds	submanifold	NOUN
ap-940	129	35	(	(	PUNCT
ap-940	129	36	)	)	PUNCT
ap-940	129	37	q	q	PROPN
ap-940	129	38	t0	t0	PROPN
ap-940	129	39	0	0	NUM
ap-940	129	40	,	,	PUNCT
ap-940	129	41	�	�	PROPN
ap-940	129	42	fixed	fix	VERB
ap-940	129	43	and	and	CCONJ
ap-940	129	44	(	(	PUNCT
ap-940	129	45	,	,	PUNCT
ap-940	129	46	)	)	PUNCT
ap-940	129	47	q	q	PROPN
ap-940	130	1	t1	t1	NOUN
ap-940	130	2	1	1	NUM
ap-940	130	3	�	�	NOUN
ap-940	130	4	fixed	fix	VERB
ap-940	130	5	of	of	ADP
ap-940	130	6	the	the	DET
ap-940	130	7	extended	extended	ADJ
ap-940	130	8	tangent	tangent	NOUN
ap-940	130	9	bundle	bundle	NOUN
ap-940	130	10	.	.	PUNCT
ap-940	131	1	in	in	ADP
ap-940	131	2	the	the	DET
ap-940	131	3	figure	figure	NOUN
ap-940	131	4	,	,	PUNCT
ap-940	131	5	these	these	DET
ap-940	131	6	edge	edge	NOUN
ap-940	131	7	submanifolds	submanifold	NOUN
ap-940	131	8	are	be	AUX
ap-940	131	9	schematically	schematically	ADV
ap-940	131	10	represented	represent	VERB
ap-940	131	11	by	by	ADP
ap-940	131	12	two	two	NUM
ap-940	131	13	-	-	PUNCT
ap-940	131	14	dimensional	dimensional	ADJ
ap-940	131	15	“	"	PUNCT
ap-940	131	16	d	d	NOUN
ap-940	131	17	-	-	NOUN
ap-940	131	18	branes	brane	NOUN
ap-940	131	19	.	.	PUNCT
ap-940	131	20	”	"	PUNCT
ap-940	132	1	in	in	ADP
ap-940	132	2	the	the	DET
ap-940	132	3	above	above	ADJ
ap-940	132	4	class	class	NOUN
ap-940	132	5	of	of	ADP
ap-940	132	6	all	all	DET
ap-940	132	7	admissible	admissible	ADJ
ap-940	132	8	“	"	PUNCT
ap-940	132	9	umbilical	umbilical	ADJ
ap-940	132	10	world	world	NOUN
ap-940	132	11	-	-	PUNCT
ap-940	132	12	sheets	sheet	NOUN
ap-940	132	13	”	"	PUNCT
ap-940	132	14	a	a	DET
ap-940	132	15	stationary	stationary	ADJ
ap-940	132	16	surface	surface	NOUN
ap-940	132	17	of	of	ADP
ap-940	132	18	the	the	DET
ap-940	132	19	action	action	NOUN
ap-940	132	20	s	s	PART
ap-940	132	21	s	s	NOUN
ap-940	132	22	:	:	PUNCT
ap-940	132	23	(	(	PUNCT
ap-940	132	24	):	):	PUNCT
ap-940	132	25	�	�	PROPN
ap-940	132	26	�	�	PROPN
ap-940	132	27	�	�	PROPN
ap-940	132	28	�	�	PROPN
ap-940	132	29	�	�	PROPN
ap-940	132	30	�	�	PROPN
ap-940	132	31	!	!	PUNCT
ap-940	133	1	(	(	PUNCT
ap-940	133	2	7	7	X
ap-940	133	3	)	)	PUNCT
ap-940	133	4	satisfies	satisfy	VERB
ap-940	133	5	the	the	DET
ap-940	133	6	following	follow	VERB
ap-940	133	7	two	two	NUM
ap-940	133	8	equations	equation	NOUN
ap-940	133	9	:	:	PUNCT
ap-940	133	10	boundary	boundary	ADJ
ap-940	133	11	term	term	NOUN
ap-940	133	12	:	:	PUNCT
ap-940	133	13	0	0	NUM
ap-940	133	14	�	�	PROPN
ap-940	133	15	�	�	PROPN
ap-940	133	16	d	d	PROPN
ap-940	133	17	d	d	X
ap-940	133	18	�	�	PROPN
ap-940	133	19	�	�	PROPN
ap-940	133	20	,	,	PUNCT
ap-940	133	21	(	(	PUNCT
ap-940	133	22	8)	8)	NUM
ap-940	133	23	bulk	bulk	ADJ
ap-940	133	24	term	term	NOUN
ap-940	133	25	:	:	PUNCT
ap-940	133	26	0	0	NUM
ap-940	133	27	�	�	PROPN
ap-940	133	28	�	�	PROPN
ap-940	133	29	�	�	PROPN
ap-940	133	30	�	�	PROPN
ap-940	133	31	�	�	PROPN
ap-940	133	32	�	�	PROPN
ap-940	133	33	�	�	PROPN
ap-940	133	34	�	�	PROPN
ap-940	133	35	d	d	PROPN
ap-940	133	36	�	�	PROPN
ap-940	133	37	�	�	PROPN
ap-940	133	38	�	�	PROPN
ap-940	133	39	�	�	PROPN
ap-940	133	40	�	�	PROPN
ap-940	133	41	�	�	PROPN
ap-940	133	42	�	�	PROPN
ap-940	133	43	,	,	PUNCT
ap-940	133	44	,	,	PUNCT
ap-940	133	45	.	.	PUNCT
ap-940	134	1	(	(	PUNCT
ap-940	134	2	9	9	X
ap-940	134	3	)	)	PUNCT
ap-940	134	4	the	the	DET
ap-940	134	5	first	first	ADJ
ap-940	134	6	equation	equation	NOUN
ap-940	134	7	states	state	VERB
ap-940	134	8	that	that	PRON
ap-940	134	9	tangent	tangent	VERB
ap-940	134	10	vector	vector	NOUN
ap-940	134	11	d	d	PROPN
ap-940	134	12	d	d	PROPN
ap-940	134	13	�	�	PROPN
ap-940	134	14	lies	lie	VERB
ap-940	134	15	in	in	ADP
ap-940	134	16	the	the	DET
ap-940	134	17	kernel	kernel	NOUN
ap-940	134	18	of	of	ADP
ap-940	134	19	�	�	PROPN
ap-940	134	20	.	.	PUNCT
ap-940	135	1	this	this	PRON
ap-940	135	2	means	mean	VERB
ap-940	135	3	that	that	SCONJ
ap-940	135	4	the	the	DET
ap-940	135	5	second	second	ADJ
ap-940	135	6	edge	edge	NOUN
ap-940	135	7	�	�	PROPN
ap-940	135	8	(	(	PUNCT
ap-940	135	9	,	,	PUNCT
ap-940	135	10	)	)	PUNCT
ap-940	135	11	�	�	PROPN
ap-940	135	12	1	1	NUM
ap-940	135	13	of	of	ADP
ap-940	135	14	the	the	DET
ap-940	135	15	sought	seek	VERB
ap-940	135	16	stationary	stationary	ADJ
ap-940	135	17	surface	surface	NOUN
ap-940	135	18	satisfies	satisfy	VERB
ap-940	135	19	the	the	DET
ap-940	135	20	initial	initial	ADJ
ap-940	135	21	newton	newton	PROPN
ap-940	135	22	-	-	PUNCT
ap-940	135	23	lagrange	lagrange	PROPN
ap-940	135	24	differential	differential	NOUN
ap-940	135	25	system	system	NOUN
ap-940	135	26	(	(	PUNCT
ap-940	135	27	6	6	NUM
ap-940	135	28	)	)	PUNCT
ap-940	135	29	.	.	PUNCT
ap-940	136	1	by	by	ADP
ap-940	136	2	its	its	PRON
ap-940	136	3	definition	definition	NOUN
ap-940	136	4	,	,	PUNCT
ap-940	136	5	it	it	PRON
ap-940	136	6	should	should	AUX
ap-940	136	7	be	be	AUX
ap-940	136	8	a	a	DET
ap-940	136	9	classical	classical	ADJ
ap-940	136	10	trajectory	trajectory	NOUN
ap-940	136	11	�	�	NOUN
ap-940	136	12	class	class	NOUN
ap-940	136	13	that	that	PRON
ap-940	136	14	connects	connect	VERB
ap-940	136	15	the	the	DET
ap-940	136	16	space	space	NOUN
ap-940	136	17	-	-	PUNCT
ap-940	136	18	time	time	NOUN
ap-940	136	19	events	event	NOUN
ap-940	136	20	(	(	PUNCT
ap-940	136	21	q0	q0	PROPN
ap-940	136	22	,	,	PUNCT
ap-940	136	23	t0	t0	PROPN
ap-940	136	24	)	)	PUNCT
ap-940	136	25	and	and	CCONJ
ap-940	136	26	(	(	PUNCT
ap-940	136	27	q1	q1	PROPN
ap-940	136	28	,	,	PUNCT
ap-940	136	29	t1	t1	NOUN
ap-940	136	30	)	)	PUNCT
ap-940	136	31	.	.	PUNCT
ap-940	137	1	the	the	DET
ap-940	137	2	genuineness	genuineness	NOUN
ap-940	137	3	of	of	ADP
ap-940	137	4	�	�	PROPN
ap-940	137	5	class	class	PROPN
ap-940	137	6	�	�	PROPN
ap-940	137	7	�	�	PROPN
ap-940	137	8	�	�	PROPN
ap-940	137	9	(	(	PUNCT
ap-940	137	10	,	,	PUNCT
ap-940	137	11	)	)	PUNCT
ap-940	137	12	1	1	NUM
ap-940	137	13	is	be	AUX
ap-940	137	14	obvious	obvious	ADJ
ap-940	137	15	,	,	PUNCT
ap-940	137	16	and	and	CCONJ
ap-940	137	17	it	it	PRON
ap-940	137	18	does	do	AUX
ap-940	137	19	not	not	PART
ap-940	137	20	depend	depend	VERB
ap-940	137	21	on	on	ADP
ap-940	137	22	the	the	DET
ap-940	137	23	chosen	choose	VERB
ap-940	137	24	auxiliary	auxiliary	ADJ
ap-940	137	25	reference	reference	NOUN
ap-940	137	26	curve	curve	PROPN
ap-940	137	27	�	�	PROPN
ap-940	137	28	ref	ref	NOUN
ap-940	137	29	.	.	PUNCT
ap-940	138	1	the	the	DET
ap-940	138	2	complete	complete	ADJ
ap-940	138	3	solution	solution	NOUN
ap-940	138	4	of	of	ADP
ap-940	138	5	the	the	DET
ap-940	138	6	variational	variational	ADJ
ap-940	138	7	problem	problem	NOUN
ap-940	138	8	provides	provide	VERB
ap-940	138	9	as	as	ADP
ap-940	138	10	a	a	DET
ap-940	138	11	bonus	bonus	NOUN
ap-940	138	12	also	also	ADV
ap-940	138	13	some	some	DET
ap-940	138	14	stationary	stationary	ADJ
ap-940	138	15	(	(	PUNCT
ap-940	138	16	also	also	ADV
ap-940	138	17	called	call	VERB
ap-940	138	18	minimal	minimal	ADJ
ap-940	138	19	)	)	PUNCT
ap-940	138	20	surface	surface	PROPN
ap-940	138	21	�	�	PROPN
ap-940	138	22	min	min	PROPN
ap-940	138	23	.	.	PUNCT
ap-940	139	1	it	it	PRON
ap-940	139	2	is	be	AUX
ap-940	139	3	anchored	anchor	VERB
ap-940	139	4	to	to	ADP
ap-940	139	5	the	the	DET
ap-940	139	6	curves	curve	NOUN
ap-940	139	7	�	�	PROPN
ap-940	139	8	ref	ref	NOUN
ap-940	139	9	and	and	CCONJ
ap-940	139	10	�	�	NOUN
ap-940	139	11	class	class	NOUN
ap-940	139	12	and	and	CCONJ
ap-940	139	13	is	be	AUX
ap-940	139	14	trapped	trap	VERB
ap-940	139	15	in	in	ADP
ap-940	139	16	between	between	ADP
ap-940	139	17	the	the	DET
ap-940	139	18	“	"	PUNCT
ap-940	139	19	d	d	ADJ
ap-940	139	20	-	-	ADJ
ap-940	139	21	brane	brane	ADJ
ap-940	139	22	type	type	NOUN
ap-940	139	23	”	"	PUNCT
ap-940	139	24	submanifolds	submanifold	NOUN
ap-940	139	25	(	(	PUNCT
ap-940	139	26	,	,	PUNCT
ap-940	139	27	)	)	PUNCT
ap-940	139	28	q	q	PROPN
ap-940	139	29	t0	t0	PROPN
ap-940	139	30	0	0	NUM
ap-940	139	31	�	�	PROPN
ap-940	139	32	fixed	fix	VERB
ap-940	139	33	and	and	CCONJ
ap-940	139	34	(	(	PUNCT
ap-940	139	35	,	,	PUNCT
ap-940	139	36	)	)	PUNCT
ap-940	139	37	q	q	PROPN
ap-940	140	1	t1	t1	NOUN
ap-940	140	2	1	1	NUM
ap-940	140	3	�	�	NOUN
ap-940	140	4	fixed	fix	VERB
ap-940	140	5	in	in	ADP
ap-940	140	6	the	the	DET
ap-940	140	7	extended	extended	ADJ
ap-940	140	8	tangent	tangent	NOUN
ap-940	140	9	bundle	bundle	NOUN
ap-940	140	10	.	.	PUNCT
ap-940	141	1	whether	whether	SCONJ
ap-940	141	2	such	such	DET
ap-940	141	3	a	a	DET
ap-940	141	4	stationary	stationary	ADJ
ap-940	141	5	“	"	PUNCT
ap-940	141	6	umbilical	umbilical	ADJ
ap-940	141	7	”	"	PUNCT
ap-940	141	8	surface	surface	NOUN
ap-940	141	9	exists	exist	NOUN
ap-940	141	10	depends	depend	VERB
ap-940	141	11	on	on	ADP
ap-940	141	12	properties	property	NOUN
ap-940	141	13	of	of	ADP
ap-940	141	14	the	the	DET
ap-940	141	15	physical	physical	ADJ
ap-940	141	16	system	system	NOUN
ap-940	141	17	under	under	ADP
ap-940	141	18	consideration	consideration	NOUN
ap-940	141	19	.	.	PUNCT
ap-940	142	1	4	4	NUM
ap-940	142	2	quantization	quantization	NOUN
ap-940	142	3	:	:	PUNCT
ap-940	142	4	path	path	NOUN
ap-940	142	5	versus	versus	ADP
ap-940	142	6	surface	surface	NOUN
ap-940	142	7	integral	integral	ADJ
ap-940	142	8	in	in	ADP
ap-940	142	9	the	the	DET
ap-940	142	10	case	case	NOUN
ap-940	142	11	when	when	SCONJ
ap-940	142	12	classical	classical	ADJ
ap-940	142	13	dynamics	dynamic	NOUN
ap-940	142	14	(	(	PUNCT
ap-940	142	15	6	6	NUM
ap-940	142	16	)	)	PUNCT
ap-940	142	17	is	be	AUX
ap-940	142	18	“	"	PUNCT
ap-940	142	19	derivable	derivable	ADJ
ap-940	142	20	”	"	PUNCT
ap-940	142	21	from	from	ADP
ap-940	142	22	the	the	DET
ap-940	142	23	lepage	lepage	NOUN
ap-940	142	24	one	one	NUM
ap-940	142	25	-	-	PUNCT
ap-940	142	26	form	form	NOUN
ap-940	142	27	�	�	PROPN
ap-940	142	28	�	�	PROPN
ap-940	142	29	,	,	PUNCT
ap-940	142	30	i.e.	i.e.	X
ap-940	142	31	�	�	PROPN
ap-940	142	32	�	�	PROPN
ap-940	142	33	d	d	PROPN
ap-940	142	34	�	�	PROPN
ap-940	142	35	�	�	PROPN
ap-940	142	36	,	,	PUNCT
ap-940	142	37	one	one	PRON
ap-940	142	38	can	can	AUX
ap-940	142	39	use	use	VERB
ap-940	142	40	for	for	ADP
ap-940	142	41	quantization	quantization	NOUN
ap-940	142	42	the	the	DET
ap-940	142	43	feynman	feynman	ADJ
ap-940	142	44	prescription	prescription	NOUN
ap-940	143	1	[	[	X
ap-940	143	2	11	11	NUM
ap-940	143	3	,	,	PUNCT
ap-940	143	4	12	12	NUM
ap-940	143	5	]	]	PUNCT
ap-940	143	6	.	.	PUNCT
ap-940	144	1	according	accord	VERB
ap-940	144	2	to	to	ADP
ap-940	144	3	feynman	feynman	PROPN
ap-940	144	4	,	,	PUNCT
ap-940	144	5	the	the	DET
ap-940	144	6	probability	probability	NOUN
ap-940	144	7	amplitude	amplitude	NOUN
ap-940	144	8	of	of	ADP
ap-940	144	9	the	the	DET
ap-940	144	10	transition	transition	NOUN
ap-940	144	11	of	of	ADP
ap-940	144	12	the	the	DET
ap-940	144	13	system	system	NOUN
ap-940	144	14	from	from	ADP
ap-940	144	15	the	the	DET
ap-940	144	16	space	space	NOUN
ap-940	144	17	-	-	PUNCT
ap-940	144	18	time	time	NOUN
ap-940	144	19	configuration	configuration	NOUN
ap-940	144	20	(	(	PUNCT
ap-940	144	21	q0	q0	PROPN
ap-940	144	22	,	,	PUNCT
ap-940	144	23	t0	t0	PROPN
ap-940	144	24	)	)	PUNCT
ap-940	144	25	to	to	ADP
ap-940	144	26	(	(	PUNCT
ap-940	144	27	q1	q1	PROPN
ap-940	144	28	,	,	PUNCT
ap-940	144	29	t1	t1	NOUN
ap-940	144	30	)	)	PUNCT
ap-940	144	31	is	be	AUX
ap-940	144	32	given	give	VERB
ap-940	144	33	as	as	SCONJ
ap-940	144	34	follows	follow	VERB
ap-940	144	35	:	:	PUNCT
ap-940	144	36	a	a	PRON
ap-940	144	37	(	(	PUNCT
ap-940	144	38	,	,	PUNCT
ap-940	144	39	,	,	PUNCT
ap-940	144	40	,	,	PUNCT
ap-940	144	41	)	)	PUNCT
ap-940	145	1	[	[	PUNCT
ap-940	145	2	]	]	X
ap-940	145	3	expq	expq	ADJ
ap-940	145	4	t	t	PROPN
ap-940	145	5	q	q	PROPN
ap-940	145	6	t	t	PROPN
ap-940	145	7	i	i	NOUN
ap-940	145	8	0	0	NUM
ap-940	145	9	0	0	NUM
ap-940	145	10	1	1	NUM
ap-940	145	11	1	1	NUM
ap-940	145	12	"	"	PUNCT
ap-940	145	13	�	�	PROPN
ap-940	145	14	�	�	PROPN
ap-940	145	15	�	�	PROPN
ap-940	145	16	�	�	PROPN
ap-940	145	17	�	�	PROPN
ap-940	145	18	�	�	PROPN
ap-940	145	19	�	�	PROPN
ap-940	145	20	�	�	PROPN
ap-940	145	21	!	!	PUNCT
ap-940	145	22	!	!	PUNCT
ap-940	146	1	�	�	PROPN
ap-940	146	2	�	�	PROPN
ap-940	146	3	�	�	PROPN
ap-940	146	4	�	�	PROPN
ap-940	146	5	�	�	PROPN
ap-940	146	6	�	�	PROPN
ap-940	146	7	�	�	PROPN
ap-940	146	8	.	.	PUNCT
ap-940	147	1	(	(	PUNCT
ap-940	147	2	10	10	NUM
ap-940	147	3	)	)	PUNCT
ap-940	147	4	the	the	DET
ap-940	147	5	“	"	PUNCT
ap-940	147	6	path	path	NOUN
ap-940	147	7	-	-	PUNCT
ap-940	147	8	summation	summation	NOUN
ap-940	147	9	”	"	PUNCT
ap-940	147	10	here	here	ADV
ap-940	147	11	is	be	AUX
ap-940	147	12	taken	take	VERB
ap-940	147	13	over	over	ADP
ap-940	147	14	the	the	DET
ap-940	147	15	class	class	NOUN
ap-940	147	16	�	�	PROPN
ap-940	147	17	of	of	ADP
ap-940	147	18	all	all	DET
ap-940	147	19	admissible	admissible	ADJ
ap-940	147	20	curves	curve	NOUN
ap-940	147	21	in	in	ADP
ap-940	147	22	tm	tm	PROPN
ap-940	147	23	�	�	PROPN
ap-940	147	24	�	�	PROPN
ap-940	147	25	,	,	PUNCT
ap-940	147	26	as	as	SCONJ
ap-940	147	27	drawn	draw	VERB
ap-940	147	28	in	in	ADP
ap-940	147	29	fig	fig	NOUN
ap-940	147	30	.	.	PUNCT
ap-940	148	1	3	3	X
ap-940	148	2	.	.	X
ap-940	148	3	the	the	DET
ap-940	148	4	exponent	exponent	NOUN
ap-940	148	5	in	in	ADP
ap-940	148	6	(	(	PUNCT
ap-940	148	7	10	10	NUM
ap-940	148	8	)	)	PUNCT
ap-940	148	9	is	be	AUX
ap-940	148	10	the	the	DET
ap-940	148	11	standard	standard	ADJ
ap-940	148	12	curve	curve	NOUN
ap-940	148	13	integral	integral	ADJ
ap-940	148	14	of	of	ADP
ap-940	148	15	the	the	DET
ap-940	148	16	one	one	NUM
ap-940	148	17	-	-	PUNCT
ap-940	148	18	form	form	NOUN
ap-940	148	19	�	�	NOUN
ap-940	148	20	�	�	PROPN
ap-940	148	21	over	over	ADP
ap-940	148	22	�	�	PROPN
ap-940	148	23	.	.	PUNCT
ap-940	149	1	the	the	DET
ap-940	149	2	questions	question	NOUN
ap-940	149	3	of	of	ADP
ap-940	149	4	the	the	DET
ap-940	149	5	measure	measure	NOUN
ap-940	149	6	[	[	PUNCT
ap-940	149	7	]	]	X
ap-940	149	8	�	�	PROPN
ap-940	149	9	�	�	PROPN
ap-940	149	10	and	and	CCONJ
ap-940	149	11	the	the	DET
ap-940	149	12	proper	proper	ADJ
ap-940	149	13	normalization	normalization	NOUN
ap-940	149	14	of	of	ADP
ap-940	149	15	the	the	DET
ap-940	149	16	probability	probability	NOUN
ap-940	149	17	amplitude	amplitude	NOUN
ap-940	149	18	are	be	AUX
ap-940	149	19	discussed	discuss	VERB
ap-940	149	20	in	in	ADP
ap-940	149	21	the	the	DET
ap-940	149	22	next	next	ADJ
ap-940	149	23	section	section	NOUN
ap-940	149	24	.	.	PUNCT
ap-940	150	1	we	we	PRON
ap-940	150	2	have	have	AUX
ap-940	150	3	already	already	ADV
ap-940	150	4	noted	note	VERB
ap-940	150	5	that	that	SCONJ
ap-940	150	6	classical	classical	ADJ
ap-940	150	7	mechanics	mechanic	NOUN
ap-940	150	8	is	be	AUX
ap-940	150	9	only	only	ADV
ap-940	150	10	�	�	NOUN
ap-940	150	11	sensitive	sensitive	ADJ
ap-940	150	12	.	.	PUNCT
ap-940	151	1	on	on	ADP
ap-940	151	2	the	the	DET
ap-940	151	3	other	other	ADJ
ap-940	151	4	hand	hand	NOUN
ap-940	151	5	the	the	DET
ap-940	151	6	sensitivity	sensitivity	NOUN
ap-940	151	7	of	of	ADP
ap-940	151	8	quantum	quantum	ADJ
ap-940	151	9	mechanics	mechanic	NOUN
ap-940	151	10	on	on	ADP
ap-940	151	11	its	its	PRON
ap-940	151	12	one	one	NUM
ap-940	151	13	-	-	PUNCT
ap-940	151	14	form	form	NOUN
ap-940	151	15	potential	potential	ADJ
ap-940	151	16	precursor	precursor	NOUN
ap-940	151	17	�	�	NOUN
ap-940	151	18	�	�	PROPN
ap-940	151	19	is	be	AUX
ap-940	151	20	ultimately	ultimately	ADV
ap-940	151	21	evident	evident	ADJ
ap-940	151	22	from	from	ADP
ap-940	151	23	the	the	DET
ap-940	151	24	feynman	feynman	ADJ
ap-940	151	25	prescription	prescription	NOUN
ap-940	151	26	.	.	PUNCT
ap-940	152	1	in	in	ADP
ap-940	152	2	what	what	PRON
ap-940	152	3	follows	follow	VERB
ap-940	152	4	,	,	PUNCT
ap-940	152	5	we	we	PRON
ap-940	152	6	propose	propose	VERB
ap-940	152	7	some	some	DET
ap-940	152	8	modifications	modification	NOUN
ap-940	152	9	to	to	ADP
ap-940	152	10	(	(	PUNCT
ap-940	152	11	10	10	NUM
ap-940	152	12	)	)	PUNCT
ap-940	152	13	,	,	PUNCT
ap-940	152	14	leading	lead	VERB
ap-940	152	15	to	to	ADP
ap-940	152	16	the	the	DET
ap-940	152	17	replacement	replacement	NOUN
ap-940	152	18	of	of	ADP
ap-940	152	19	�	�	PROPN
ap-940	152	20	�	�	PROPN
ap-940	152	21	by	by	ADP
ap-940	152	22	the	the	DET
ap-940	152	23	two	two	NUM
ap-940	152	24	-	-	PUNCT
ap-940	152	25	form	form	NOUN
ap-940	152	26	�	�	NOUN
ap-940	152	27	.	.	PUNCT
ap-940	153	1	this	this	PRON
ap-940	153	2	will	will	AUX
ap-940	153	3	enable	enable	VERB
ap-940	153	4	us	we	PRON
ap-940	153	5	to	to	PART
ap-940	153	6	“	"	PUNCT
ap-940	153	7	quantize	quantize	VERB
ap-940	153	8	”	"	PUNCT
ap-940	153	9	dissipative	dissipative	NOUN
ap-940	153	10	systems	system	NOUN
ap-940	153	11	as	as	ADV
ap-940	153	12	well	well	ADV
ap-940	153	13	.	.	PUNCT
ap-940	154	1	our	our	PRON
ap-940	154	2	main	main	ADJ
ap-940	154	3	trick	trick	NOUN
ap-940	154	4	is	be	AUX
ap-940	154	5	a	a	DET
ap-940	154	6	simple	simple	ADJ
ap-940	154	7	rearrangement	rearrangement	NOUN
ap-940	154	8	based	base	VERB
ap-940	154	9	on	on	ADP
ap-940	154	10	the	the	DET
ap-940	154	11	stokes	stoke	NOUN
ap-940	154	12	theorem	theorem	PROPN
ap-940	154	13	.	.	PROPN
ap-940	154	14	down	down	ADP
ap-940	154	15	-	-	PUNCT
ap-940	154	16	to	to	ADP
ap-940	154	17	-	-	PUNCT
ap-940	154	18	earth	earth	NOUN
ap-940	154	19	,	,	PUNCT
ap-940	154	20	in	in	ADP
ap-940	154	21	the	the	DET
ap-940	154	22	class	class	NOUN
ap-940	154	23	�	�	PROPN
ap-940	154	24	that	that	PRON
ap-940	154	25	enters	enter	VERB
ap-940	154	26	the	the	DET
ap-940	154	27	“	"	PUNCT
ap-940	154	28	path	path	NOUN
ap-940	154	29	-	-	PUNCT
ap-940	154	30	summation	summation	NOUN
ap-940	154	31	”	"	PUNCT
ap-940	154	32	in	in	ADP
ap-940	154	33	(	(	PUNCT
ap-940	154	34	10	10	NUM
ap-940	154	35	)	)	PUNCT
ap-940	154	36	,	,	PUNCT
ap-940	154	37	there	there	PRON
ap-940	154	38	is	be	VERB
ap-940	154	39	one	one	NUM
ap-940	154	40	specially	specially	ADV
ap-940	154	41	distinguished	distinguished	ADJ
ap-940	154	42	curve	curve	NOUN
ap-940	154	43	,	,	PUNCT
ap-940	154	44	the	the	DET
ap-940	154	45	classical	classical	ADJ
ap-940	154	46	trajectory	trajectory	NOUN
ap-940	154	47	.	.	PUNCT
ap-940	155	1	using	use	VERB
ap-940	155	2	it	it	PRON
ap-940	155	3	,	,	PUNCT
ap-940	155	4	for	for	ADP
ap-940	155	5	any	any	DET
ap-940	155	6	other	other	ADJ
ap-940	155	7	�	�	NOUN
ap-940	155	8	within	within	ADP
ap-940	155	9	this	this	DET
ap-940	155	10	class	class	NOUN
ap-940	155	11	we	we	PRON
ap-940	155	12	get	get	VERB
ap-940	155	13	an	an	DET
ap-940	155	14	oriented	orient	VERB
ap-940	155	15	loop	loop	NOUN
ap-940	155	16	(	(	PUNCT
ap-940	155	17	cycle	cycle	NOUN
ap-940	155	18	):	):	PUNCT
ap-940	155	19	�	�	PROPN
ap-940	155	20	�	�	PROPN
ap-940	155	21	�	�	PROPN
ap-940	155	22	�	�	PROPN
ap-940	155	23	�	�	PROPN
ap-940	155	24	�	�	PROPN
ap-940	155	25	:	:	PUNCT
ap-940	155	26	�	�	PROPN
ap-940	155	27	�	�	PROPN
ap-940	155	28	�	�	PROPN
ap-940	155	29	�	�	PROPN
ap-940	155	30	1	1	NUM
ap-940	155	31	0class	0class	NUM
ap-940	155	32	.	.	PUNCT
ap-940	156	1	here	here	ADV
ap-940	156	2	�	�	PROPN
ap-940	156	3	0	0	NUM
ap-940	156	4	and	and	CCONJ
ap-940	156	5	�	�	PROPN
ap-940	156	6	1	1	NUM
ap-940	156	7	are	be	AUX
ap-940	156	8	arbitrarily	arbitrarily	ADV
ap-940	156	9	chosen	choose	VERB
ap-940	156	10	curves	curve	NOUN
ap-940	156	11	within	within	ADP
ap-940	156	12	the	the	DET
ap-940	156	13	“	"	PUNCT
ap-940	156	14	d	d	NOUN
ap-940	156	15	-	-	PUNCT
ap-940	156	16	branes	brane	NOUN
ap-940	156	17	“	"	PUNCT
ap-940	156	18	(	(	PUNCT
ap-940	156	19	,	,	PUNCT
ap-940	156	20	)	)	PUNCT
ap-940	156	21	q	q	PROPN
ap-940	156	22	t0	t0	PROPN
ap-940	156	23	0	0	NUM
ap-940	156	24	�	�	PROPN
ap-940	156	25	fixed	fix	VERB
ap-940	156	26	and	and	CCONJ
ap-940	156	27	(	(	PUNCT
ap-940	156	28	,	,	PUNCT
ap-940	156	29	)	)	PUNCT
ap-940	156	30	q	q	PROPN
ap-940	157	1	t1	t1	NOUN
ap-940	157	2	1	1	NUM
ap-940	157	3	�	�	NOUN
ap-940	157	4	fixed	fix	VERB
ap-940	157	5	,	,	PUNCT
ap-940	157	6	see	see	VERB
ap-940	157	7	fig	fig	NOUN
ap-940	157	8	.	.	PUNCT
ap-940	158	1	2	2	X
ap-940	158	2	.	.	X
ap-940	158	3	the	the	DET
ap-940	158	4	restriction	restriction	NOUN
ap-940	158	5	of	of	ADP
ap-940	158	6	�	�	PROPN
ap-940	158	7	�	�	PROPN
ap-940	158	8	to	to	ADP
ap-940	158	9	any	any	PRON
ap-940	158	10	of	of	ADP
ap-940	158	11	these	these	DET
ap-940	158	12	edge	edge	NOUN
ap-940	158	13	submanifolds	submanifold	NOUN
ap-940	158	14	is	be	AUX
ap-940	158	15	trivial	trivial	ADJ
ap-940	158	16	,	,	PUNCT
ap-940	158	17	therefore	therefore	ADV
ap-940	158	18	we	we	PRON
ap-940	158	19	can	can	AUX
ap-940	158	20	write	write	VERB
ap-940	158	21	:	:	PUNCT
ap-940	158	22	�	�	PROPN
ap-940	158	23	�	�	PROPN
ap-940	158	24	�	�	PROPN
ap-940	158	25	�	�	PROPN
ap-940	158	26	�	�	PROPN
ap-940	158	27	�	�	PROPN
ap-940	158	28	�	�	PROPN
ap-940	158	29	�	�	PROPN
ap-940	158	30	�	�	PROPN
ap-940	158	31	�	�	PROPN
ap-940	158	32	�	�	PROPN
ap-940	158	33	�	�	PROPN
ap-940	158	34	�	�	PROPN
ap-940	158	35	�	�	PROPN
ap-940	158	36	�	�	PROPN
ap-940	158	37	�	�	PROPN
ap-940	158	38	�	�	PROPN
ap-940	158	39	!	!	PUNCT
ap-940	158	40	!	!	PUNCT
ap-940	158	41	!	!	PUNCT
ap-940	158	42	!	!	PUNCT
ap-940	158	43	!	!	PUNCT
ap-940	158	44	!	!	PUNCT
ap-940	159	1	�	�	PROPN
ap-940	159	2	�	�	PROPN
ap-940	159	3	�	�	PROPN
ap-940	159	4	�	�	PROPN
ap-940	159	5	�	�	PROPN
ap-940	159	6	class	class	NOUN
ap-940	159	7	zero	zero	NUM
ap-940	159	8	d	d	NOUN
ap-940	159	9	1	1	NUM
ap-940	159	10	0	0	NUM
ap-940	159	11	�	�	PROPN
ap-940	159	12	�	�	PROPN
ap-940	159	13	�	�	PROPN
ap-940	159	14	�	�	PROPN
ap-940	159	15	,	,	PUNCT
ap-940	159	16	where	where	SCONJ
ap-940	159	17	umb	umb	PROPN
ap-940	159	18	class	class	PROPN
ap-940	159	19	�	�	PROPN
ap-940	159	20	�	�	PROPN
ap-940	159	21	(	(	PUNCT
ap-940	159	22	)	)	PUNCT
ap-940	159	23	.	.	PUNCT
ap-940	160	1	�	�	PROPN
ap-940	160	2	(	(	PUNCT
ap-940	160	3	11	11	NUM
ap-940	160	4	)	)	PUNCT
ap-940	160	5	©	©	PROPN
ap-940	160	6	czech	czech	PROPN
ap-940	160	7	technical	technical	PROPN
ap-940	160	8	university	university	PROPN
ap-940	160	9	publishing	publishing	NOUN
ap-940	160	10	house	house	NOUN
ap-940	160	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	160	12	63	63	NUM
ap-940	160	13	acta	acta	PROPN
ap-940	160	14	polytechnica	polytechnica	PROPN
ap-940	160	15	vol	vol	NOUN
ap-940	160	16	.	.	PUNCT
ap-940	161	1	47	47	NUM
ap-940	161	2	no	no	NOUN
ap-940	161	3	.	.	PUNCT
ap-940	162	1	2–3/2007	2–3/2007	NUM
ap-940	162	2	fig	fig	NOUN
ap-940	162	3	.	.	PUNCT
ap-940	163	1	3	3	NUM
ap-940	163	2	:	:	PUNCT
ap-940	163	3	schematic	schematic	ADJ
ap-940	163	4	picture	picture	NOUN
ap-940	163	5	of	of	ADP
ap-940	163	6	the	the	DET
ap-940	163	7	class	class	NOUN
ap-940	163	8	�	�	PROPN
ap-940	163	9	�	�	PROPN
ap-940	163	10	�	�	PROPN
ap-940	163	11	�	�	PROPN
ap-940	163	12	�	�	PROPN
ap-940	163	13	�	�	PROPN
ap-940	163	14	�	�	PROPN
ap-940	163	15	:	:	PUNCT
ap-940	163	16	(	(	PUNCT
ap-940	163	17	(	(	PUNCT
ap-940	163	18	)	)	PUNCT
ap-940	163	19	,	,	PUNCT
ap-940	163	20	(	(	PUNCT
ap-940	163	21	)	)	PUNCT
ap-940	163	22	,	,	PUNCT
ap-940	163	23	)	)	PUNCT
ap-940	163	24	,	,	PUNCT
ap-940	163	25	(	(	PUNCT
ap-940	163	26	)	)	PUNCT
ap-940	163	27	(	(	PUNCT
ap-940	163	28	�	�	PROPN
ap-940	163	29	q	q	NOUN
ap-940	163	30	q	q	PROPN
ap-940	163	31	v	v	NUM
ap-940	163	32	v	v	ADP
ap-940	163	33	t	t	PROPN
ap-940	163	34	q	q	PROPN
ap-940	163	35	t	t	PROPN
ap-940	163	36	q	q	X
ap-940	163	37	q	q	PUNCT
ap-940	163	38	tsuch	tsuch	NOUN
ap-940	163	39	that	that	PRON
ap-940	163	40	and0	and0	VERB
ap-940	163	41	0	0	NUM
ap-940	163	42	1	1	NUM
ap-940	163	43	�	�	PROPN
ap-940	163	44	�	�	PROPN
ap-940	163	45	)	)	PUNCT
ap-940	163	46	�	�	PROPN
ap-940	163	47	q1	q1	PROPN
ap-940	163	48	let	let	VERB
ap-940	163	49	us	we	PRON
ap-940	163	50	remind	remind	VERB
ap-940	163	51	the	the	DET
ap-940	163	52	reader	reader	NOUN
ap-940	163	53	that	that	PRON
ap-940	163	54	�	�	PROPN
ap-940	163	55	the	the	DET
ap-940	163	56	integral	integral	ADJ
ap-940	163	57	of	of	ADP
ap-940	163	58	�	�	PROPN
ap-940	163	59	�	�	PROPN
ap-940	163	60	over	over	ADP
ap-940	163	61	the	the	DET
ap-940	163	62	curve	curve	NOUN
ap-940	163	63	�	�	NOUN
ap-940	163	64	class	class	NOUN
ap-940	163	65	gives	give	VERB
ap-940	163	66	the	the	DET
ap-940	163	67	value	value	NOUN
ap-940	163	68	of	of	ADP
ap-940	163	69	the	the	DET
ap-940	163	70	classical	classical	ADJ
ap-940	163	71	action	action	NOUN
ap-940	163	72	sclass	sclass	NOUN
ap-940	163	73	�	�	PROPN
ap-940	163	74	the	the	DET
ap-940	163	75	existence	existence	NOUN
ap-940	163	76	of	of	ADP
ap-940	163	77	the	the	DET
ap-940	163	78	“	"	PUNCT
ap-940	163	79	umbilical	umbilical	ADJ
ap-940	163	80	“	"	PUNCT
ap-940	163	81	string	string	NOUN
ap-940	163	82	�	�	PROPN
ap-940	163	83	that	that	PRON
ap-940	163	84	connects	connect	VERB
ap-940	163	85	�	�	PROPN
ap-940	163	86	and	and	CCONJ
ap-940	163	87	�	�	NOUN
ap-940	163	88	class	class	NOUN
ap-940	163	89	is	be	AUX
ap-940	163	90	determined	determine	VERB
ap-940	163	91	by	by	ADP
ap-940	163	92	the	the	DET
ap-940	163	93	topological	topological	ADJ
ap-940	163	94	(	(	PUNCT
ap-940	163	95	homological	homological	ADJ
ap-940	163	96	)	)	PUNCT
ap-940	163	97	properties	property	NOUN
ap-940	163	98	of	of	ADP
ap-940	163	99	the	the	DET
ap-940	163	100	extended	extended	ADJ
ap-940	163	101	tangent	tangent	NOUN
ap-940	163	102	bundle	bundle	PROPN
ap-940	163	103	�	�	PROPN
ap-940	163	104	define	define	VERB
ap-940	163	105	vol	vol	NOUN
ap-940	163	106	�	�	PROPN
ap-940	163	107	as	as	ADP
ap-940	163	108	the	the	DET
ap-940	163	109	“	"	PUNCT
ap-940	163	110	number	number	NOUN
ap-940	163	111	“	"	PUNCT
ap-940	163	112	of	of	ADP
ap-940	163	113	surfaces	surface	NOUN
ap-940	163	114	in	in	ADP
ap-940	163	115	umb	umb	PROPN
ap-940	163	116	class	class	PROPN
ap-940	163	117	�	�	PROPN
ap-940	163	118	�	�	PROPN
ap-940	163	119	)	)	PUNCT
ap-940	163	120	containing	contain	VERB
ap-940	163	121	�	�	PROPN
ap-940	163	122	and	and	CCONJ
ap-940	163	123	�	�	NOUN
ap-940	163	124	class	class	NOUN
ap-940	163	125	as	as	ADP
ap-940	163	126	the	the	DET
ap-940	163	127	subboundaries	subboundarie	NOUN
ap-940	163	128	,	,	PUNCT
ap-940	163	129	assuming	assume	VERB
ap-940	163	130	that	that	SCONJ
ap-940	163	131	all	all	DET
ap-940	163	132	elements	element	NOUN
ap-940	163	133	of	of	ADP
ap-940	163	134	�	�	PROPN
ap-940	163	135	are	be	AUX
ap-940	163	136	homotopically	homotopically	ADV
ap-940	163	137	equivalent	equivalent	ADJ
ap-940	163	138	,	,	PUNCT
ap-940	163	139	vol	vol	NOUN
ap-940	163	140	�	�	PROPN
ap-940	163	141	becomes	become	VERB
ap-940	163	142	�	�	NOUN
ap-940	163	143	-independent	-independent	NOUN
ap-940	163	144	motivated	motivate	VERB
ap-940	163	145	by	by	ADP
ap-940	163	146	the	the	DET
ap-940	163	147	trick	trick	NOUN
ap-940	163	148	(	(	PUNCT
ap-940	163	149	11	11	NUM
ap-940	163	150	)	)	PUNCT
ap-940	163	151	and	and	CCONJ
ap-940	163	152	assuming	assume	VERB
ap-940	163	153	no	no	DET
ap-940	163	154	topological	topological	ADJ
ap-940	163	155	obstructions	obstruction	NOUN
ap-940	163	156	on	on	ADP
ap-940	163	157	the	the	DET
ap-940	163	158	side	side	NOUN
ap-940	163	159	of	of	ADP
ap-940	163	160	tm	tm	PROPN
ap-940	163	161	�	�	PROPN
ap-940	163	162	�	�	PROPN
ap-940	163	163	we	we	PRON
ap-940	163	164	can	can	AUX
ap-940	163	165	slightly	slightly	ADV
ap-940	163	166	rearrange	rearrange	VERB
ap-940	163	167	the	the	DET
ap-940	163	168	transition	transition	NOUN
ap-940	163	169	amplitude	amplitude	NOUN
ap-940	163	170	(	(	PUNCT
ap-940	163	171	10	10	NUM
ap-940	163	172	)	)	PUNCT
ap-940	163	173	as	as	SCONJ
ap-940	163	174	follows	follow	VERB
ap-940	163	175	:	:	PUNCT
ap-940	163	176	#	#	NOUN
ap-940	163	177	$	$	SYM
ap-940	163	178	a	a	PRON
ap-940	163	179	(	(	PUNCT
ap-940	163	180	,	,	PUNCT
ap-940	163	181	;	;	PUNCT
ap-940	163	182	,	,	PUNCT
ap-940	163	183	)	)	PUNCT
ap-940	163	184	exp	exp	NOUN
ap-940	163	185	exp	exp	NOUN
ap-940	163	186	q	q	PROPN
ap-940	163	187	t	t	PROPN
ap-940	163	188	q	q	PROPN
ap-940	163	189	t	t	PROPN
ap-940	163	190	i	i	PRON
ap-940	163	191	s	s	VERB
ap-940	163	192	i	i	INTJ
ap-940	163	193	0	0	NUM
ap-940	163	194	0	0	NUM
ap-940	163	195	1	1	NUM
ap-940	163	196	1	1	NUM
ap-940	163	197	"	"	PUNCT
ap-940	163	198	�	�	PROPN
ap-940	163	199	�	�	PROPN
ap-940	163	200	�	�	PROPN
ap-940	163	201	�	�	PROPN
ap-940	163	202	�	�	PROPN
ap-940	163	203	!	!	PUNCT
ap-940	163	204	�	�	PROPN
ap-940	163	205	�	�	PROPN
ap-940	163	206	class	class	NOUN
ap-940	163	207	vol	vol	NOUN
ap-940	163	208	vol	vol	NOUN
ap-940	163	209	�	�	PROPN
ap-940	163	210	�	�	PROPN
ap-940	163	211	�	�	PROPN
ap-940	163	212	�	�	PROPN
ap-940	163	213	�	�	PROPN
ap-940	163	214	�	�	PROPN
ap-940	163	215	�	�	PROPN
ap-940	163	216	class	class	NOUN
ap-940	163	217	!	!	PUNCT
ap-940	163	218	!	!	PUNCT
ap-940	164	1	�	�	PROPN
ap-940	164	2	�	�	PROPN
ap-940	164	3	�	�	PROPN
ap-940	164	4	�	�	PROPN
ap-940	164	5	�	�	PROPN
ap-940	164	6	�	�	PROPN
ap-940	164	7	�	�	PROPN
ap-940	164	8	�	�	PROPN
ap-940	164	9	�	�	PROPN
ap-940	164	10	�	�	PROPN
ap-940	164	11	�	�	PROPN
ap-940	164	12	�	�	PROPN
ap-940	164	13	�	�	PROPN
ap-940	164	14	�	�	PROPN
ap-940	164	15	�	�	PROPN
ap-940	164	16	�	�	PROPN
ap-940	164	17	�	�	PROPN
ap-940	164	18	�	�	PROPN
ap-940	164	19	�	�	PROPN
ap-940	164	20	�	�	PROPN
ap-940	164	21	(	(	PUNCT
ap-940	164	22	12	12	NUM
ap-940	164	23	)	)	PUNCT
ap-940	164	24	#	#	NOUN
ap-940	164	25	$	$	SYM
ap-940	164	26	�	�	PROPN
ap-940	164	27	�	�	PROPN
ap-940	164	28	"	"	PUNCT
ap-940	164	29	�	�	PROPN
ap-940	164	30	�	�	PROPN
ap-940	164	31	�	�	PROPN
ap-940	164	32	�	�	PROPN
ap-940	164	33	�	�	PROPN
ap-940	164	34	�	�	PROPN
ap-940	164	35	�	�	PROPN
ap-940	164	36	�	�	PROPN
ap-940	164	37	�	�	PROPN
ap-940	164	38	�	�	PROPN
ap-940	164	39	�	�	PROPN
ap-940	164	40	�	�	PROPN
ap-940	164	41	!	!	PUNCT
ap-940	164	42	1	1	NUM
ap-940	164	43	vol	vol	NOUN
ap-940	164	44	vol	vol	NOUN
ap-940	164	45	class	class	NOUN
ap-940	164	46	�	�	PROPN
ap-940	164	47	�	�	PROPN
ap-940	164	48	�	�	PROPN
ap-940	164	49	�	�	PROPN
ap-940	164	50	�	�	PROPN
ap-940	164	51	exp	exp	NOUN
ap-940	164	52	exp	exp	NOUN
ap-940	164	53	i	i	PROPN
ap-940	164	54	s	s	VERB
ap-940	164	55	i	i	PRON
ap-940	164	56	�	�	PROPN
ap-940	164	57	�	�	PROPN
ap-940	164	58	�	�	PROPN
ap-940	164	59	�	�	PROPN
ap-940	164	60	�	�	PROPN
ap-940	164	61	�	�	PROPN
ap-940	164	62	!	!	PUNCT
ap-940	165	1	#	#	NOUN
ap-940	165	2	$	$	SYM
ap-940	165	3	"	"	PUNCT
ap-940	165	4	�	�	PROPN
ap-940	165	5	�	�	PROPN
ap-940	165	6	�	�	PROPN
ap-940	165	7	�	�	PROPN
ap-940	165	8	�	�	PROPN
ap-940	165	9	�	�	PROPN
ap-940	165	10	�	�	PROPN
ap-940	165	11	�	�	PROPN
ap-940	165	12	�	�	PROPN
ap-940	165	13	�	�	PROPN
ap-940	165	14	�	�	PROPN
ap-940	165	15	�	�	PROPN
ap-940	165	16	!	!	PUNCT
ap-940	165	17	!	!	PUNCT
ap-940	166	1	exp	exp	NOUN
ap-940	166	2	exp	exp	NOUN
ap-940	166	3	,	,	PUNCT
ap-940	166	4	i	i	PRON
ap-940	166	5	s	s	VERB
ap-940	166	6	i	i	NUM
ap-940	166	7	�	�	PROPN
ap-940	166	8	�	�	PROPN
ap-940	166	9	class	class	PROPN
ap-940	166	10	�	�	PROPN
ap-940	166	11	�	�	PROPN
ap-940	166	12	�	�	PROPN
ap-940	166	13	d	d	PROPN
ap-940	166	14	umb	umb	PROPN
ap-940	166	15	�	�	PROPN
ap-940	166	16	�	�	PROPN
ap-940	166	17	(	(	PUNCT
ap-940	166	18	13	13	NUM
ap-940	166	19	)	)	PUNCT
ap-940	166	20	here	here	ADV
ap-940	166	21	in	in	ADP
ap-940	166	22	the	the	DET
ap-940	166	23	last	last	ADJ
ap-940	166	24	line	line	NOUN
ap-940	166	25	we	we	PRON
ap-940	166	26	have	have	AUX
ap-940	166	27	included	include	VERB
ap-940	166	28	the	the	DET
ap-940	166	29	numerical	numerical	ADJ
ap-940	166	30	prefactor	prefactor	PROPN
ap-940	166	31	vol	vol	PROPN
ap-940	166	32	�	�	PROPN
ap-940	166	33	�	�	PROPN
ap-940	166	34	1	1	NUM
ap-940	166	35	to	to	ADP
ap-940	166	36	normalization	normalization	NOUN
ap-940	166	37	and	and	CCONJ
ap-940	166	38	,	,	PUNCT
ap-940	166	39	because	because	SCONJ
ap-940	166	40	the	the	DET
ap-940	166	41	integrand	integrand	NOUN
ap-940	166	42	is	be	AUX
ap-940	166	43	only	only	ADV
ap-940	166	44	boundary	boundary	ADJ
ap-940	166	45	dependent	dependent	ADJ
ap-940	166	46	,	,	PUNCT
ap-940	166	47	the	the	DET
ap-940	166	48	path	path	NOUN
ap-940	166	49	integration	integration	NOUN
ap-940	166	50	was	be	AUX
ap-940	166	51	extended	extend	VERB
ap-940	166	52	to	to	ADP
ap-940	166	53	the	the	DET
ap-940	166	54	surface	surface	NOUN
ap-940	166	55	integration	integration	NOUN
ap-940	166	56	over	over	ADP
ap-940	166	57	the	the	DET
ap-940	166	58	umbilical	umbilical	ADJ
ap-940	166	59	class	class	NOUN
ap-940	166	60	umb	umb	PROPN
ap-940	166	61	umb	umb	PROPN
ap-940	166	62	class	class	PROPN
ap-940	166	63	�	�	PROPN
ap-940	166	64	(	(	PUNCT
ap-940	166	65	)	)	PUNCT
ap-940	166	66	�	�	PROPN
ap-940	166	67	.	.	PUNCT
ap-940	167	1	from	from	ADP
ap-940	167	2	formulas	formula	NOUN
ap-940	167	3	(	(	PUNCT
ap-940	167	4	12	12	NUM
ap-940	167	5	)	)	PUNCT
ap-940	167	6	and	and	CCONJ
ap-940	167	7	(	(	PUNCT
ap-940	167	8	13	13	X
ap-940	167	9	)	)	PUNCT
ap-940	167	10	we	we	PRON
ap-940	167	11	get	get	VERB
ap-940	167	12	the	the	DET
ap-940	167	13	transition	transition	NOUN
ap-940	167	14	probability	probability	NOUN
ap-940	167	15	amplitude	amplitude	NOUN
ap-940	167	16	in	in	ADP
ap-940	167	17	the	the	DET
ap-940	167	18	product	product	NOUN
ap-940	167	19	form	form	NOUN
ap-940	167	20	of	of	ADP
ap-940	167	21	the	the	DET
ap-940	167	22	classic	classic	ADJ
ap-940	167	23	phase	phase	NOUN
ap-940	167	24	and	and	CCONJ
ap-940	167	25	quantum	quantum	NOUN
ap-940	167	26	corrections	correction	NOUN
ap-940	167	27	.	.	PUNCT
ap-940	168	1	in	in	ADP
ap-940	168	2	general	general	ADJ
ap-940	168	3	,	,	PUNCT
ap-940	168	4	the	the	DET
ap-940	168	5	role	role	NOUN
ap-940	168	6	of	of	ADP
ap-940	168	7	d	d	PROPN
ap-940	168	8	�	�	PROPN
ap-940	168	9	�	�	PROPN
ap-940	168	10	is	be	AUX
ap-940	168	11	played	play	VERB
ap-940	168	12	by	by	ADP
ap-940	168	13	the	the	DET
ap-940	168	14	distinguished	distinguished	ADJ
ap-940	168	15	two	two	NUM
ap-940	168	16	-	-	PUNCT
ap-940	168	17	form	form	NOUN
ap-940	168	18	�	�	NOUN
ap-940	168	19	and	and	CCONJ
ap-940	168	20	therefore	therefore	ADV
ap-940	168	21	we	we	PRON
ap-940	168	22	can	can	AUX
ap-940	168	23	presume	presume	VERB
ap-940	168	24	to	to	PART
ap-940	168	25	express	express	VERB
ap-940	168	26	the	the	DET
ap-940	168	27	contribution	contribution	NOUN
ap-940	168	28	of	of	ADP
ap-940	168	29	the	the	DET
ap-940	168	30	quantum	quantum	ADJ
ap-940	168	31	corrections	correction	NOUN
ap-940	168	32	in	in	ADP
ap-940	168	33	any	any	DET
ap-940	168	34	case	case	NOUN
ap-940	168	35	(	(	PUNCT
ap-940	168	36	including	include	VERB
ap-940	168	37	dissipativity	dissipativity	NOUN
ap-940	168	38	)	)	PUNCT
ap-940	168	39	as	as	SCONJ
ap-940	168	40	follows	follow	VERB
ap-940	168	41	:	:	PUNCT
ap-940	168	42	#	#	NOUN
ap-940	168	43	$	$	SYM
ap-940	168	44	q.c	q.c	NOUN
ap-940	168	45	umb	umb	NOUN
ap-940	168	46	.	.	PUNCT
ap-940	169	1	exp	exp	PROPN
ap-940	169	2	"	"	PUNCT
ap-940	169	3	�	�	PROPN
ap-940	169	4	�	�	PROPN
ap-940	169	5	�	�	PROPN
ap-940	169	6	�	�	PROPN
ap-940	169	7	�	�	PROPN
ap-940	169	8	�	�	PROPN
ap-940	169	9	�	�	PROPN
ap-940	169	10	�	�	PROPN
ap-940	169	11	!	!	PUNCT
ap-940	169	12	!	!	PUNCT
ap-940	170	1	�	�	PROPN
ap-940	170	2	�	�	PROPN
ap-940	170	3	�	�	PROPN
ap-940	170	4	�	�	PROPN
ap-940	170	5	i	i	PRON
ap-940	170	6	�	�	PROPN
ap-940	170	7	.	.	PUNCT
ap-940	171	1	(	(	PUNCT
ap-940	171	2	14	14	NUM
ap-940	171	3	)	)	PUNCT
ap-940	171	4	if	if	SCONJ
ap-940	171	5	we	we	PRON
ap-940	171	6	also	also	ADV
ap-940	171	7	have	have	VERB
ap-940	171	8	a	a	DET
ap-940	171	9	suitable	suitable	ADJ
ap-940	171	10	candidate	candidate	NOUN
ap-940	171	11	for	for	ADP
ap-940	171	12	the	the	DET
ap-940	171	13	classical	classical	ADJ
ap-940	171	14	phase	phase	NOUN
ap-940	171	15	,	,	PUNCT
ap-940	171	16	we	we	PRON
ap-940	171	17	will	will	AUX
ap-940	171	18	be	be	AUX
ap-940	171	19	able	able	ADJ
ap-940	171	20	to	to	PART
ap-940	171	21	write	write	VERB
ap-940	171	22	:	:	PUNCT
ap-940	171	23	#	#	NOUN
ap-940	171	24	$	$	SYM
ap-940	171	25	a	a	PRON
ap-940	171	26	(	(	PUNCT
ap-940	171	27	,	,	PUNCT
ap-940	171	28	;	;	PUNCT
ap-940	171	29	,	,	PUNCT
ap-940	171	30	)	)	PUNCT
ap-940	171	31	.	.	PUNCT
ap-940	171	32	.	.	PUNCT
ap-940	172	1	exp	exp	NOUN
ap-940	172	2	exp	exp	NOUN
ap-940	172	3	q	q	PROPN
ap-940	172	4	t	t	PROPN
ap-940	172	5	q	q	PROPN
ap-940	172	6	t	t	PROPN
ap-940	173	1	i	i	PRON
ap-940	173	2	s	s	VERB
ap-940	173	3	i	i	INTJ
ap-940	173	4	0	0	NUM
ap-940	173	5	0	0	NUM
ap-940	173	6	1	1	NUM
ap-940	173	7	1	1	NUM
ap-940	173	8	"	"	PUNCT
ap-940	173	9	�	�	PROPN
ap-940	173	10	�	�	PROPN
ap-940	173	11	�	�	PROPN
ap-940	173	12	�	�	PROPN
ap-940	173	13	�	�	PROPN
ap-940	173	14	�	�	PROPN
ap-940	173	15	c.p	c.p	PROPN
ap-940	173	16	q.c	q.c	PROPN
ap-940	173	17	class	class	PROPN
ap-940	173	18	�	�	PROPN
ap-940	173	19	�	�	PROPN
ap-940	173	20	�	�	PROPN
ap-940	173	21	�	�	PROPN
ap-940	173	22	�	�	PROPN
ap-940	173	23	�	�	PROPN
ap-940	173	24	�	�	PROPN
ap-940	173	25	!	!	PUNCT
ap-940	173	26	!	!	PUNCT
ap-940	174	1	�	�	PROPN
ap-940	174	2	�	�	PROPN
ap-940	174	3	�	�	PROPN
ap-940	174	4	�	�	PROPN
ap-940	174	5	�	�	PROPN
ap-940	174	6	�	�	PROPN
ap-940	174	7	�	�	PROPN
ap-940	174	8	�	�	PROPN
ap-940	174	9	umb	umb	PROPN
ap-940	174	10	.	.	PUNCT
ap-940	175	1	(	(	PUNCT
ap-940	175	2	15	15	NUM
ap-940	175	3	)	)	PUNCT
ap-940	175	4	in	in	ADP
ap-940	175	5	my	my	PRON
ap-940	175	6	two	two	NUM
ap-940	175	7	previous	previous	ADJ
ap-940	175	8	papers	paper	NOUN
ap-940	175	9	[	[	X
ap-940	175	10	5	5	NUM
ap-940	175	11	,	,	PUNCT
ap-940	175	12	6	6	NUM
ap-940	175	13	]	]	PUNCT
ap-940	176	1	i	i	PRON
ap-940	176	2	proposed	propose	VERB
ap-940	176	3	for	for	ADP
ap-940	176	4	c.p	c.p	PROPN
ap-940	176	5	.	.	PUNCT
ap-940	177	1	the	the	DET
ap-940	177	2	following	follow	VERB
ap-940	177	3	procedure	procedure	NOUN
ap-940	177	4	:	:	PUNCT
ap-940	177	5	first	first	ADV
ap-940	177	6	find	find	VERB
ap-940	177	7	the	the	DET
ap-940	177	8	classical	classical	ADJ
ap-940	177	9	solution	solution	NOUN
ap-940	177	10	�	�	NOUN
ap-940	177	11	class	class	NOUN
ap-940	177	12	of	of	ADP
ap-940	177	13	the	the	DET
ap-940	177	14	problem	problem	NOUN
ap-940	177	15	(	(	PUNCT
ap-940	177	16	6	6	NUM
ap-940	177	17	)	)	PUNCT
ap-940	177	18	,	,	PUNCT
ap-940	177	19	then	then	ADV
ap-940	177	20	split	split	VERB
ap-940	177	21	the	the	DET
ap-940	177	22	forces	force	NOUN
ap-940	177	23	into	into	ADP
ap-940	177	24	the	the	DET
ap-940	177	25	potential	potential	ADJ
ap-940	177	26	-	-	PUNCT
ap-940	177	27	generated	generate	VERB
ap-940	177	28	and	and	CCONJ
ap-940	177	29	the	the	DET
ap-940	177	30	non	non	ADJ
ap-940	177	31	-	-	ADJ
ap-940	177	32	potential	potential	ADJ
ap-940	177	33	-	-	PUNCT
ap-940	177	34	generated	generate	VERB
ap-940	177	35	parts	part	NOUN
ap-940	177	36	,	,	PUNCT
ap-940	177	37	i.e.	i.e.	X
ap-940	177	38	�	�	PROPN
ap-940	177	39	�	�	PROPN
ap-940	177	40	�	�	PROPN
ap-940	177	41	�	�	PROPN
ap-940	177	42	i	i	PROPN
ap-940	177	43	q	q	PROPN
ap-940	178	1	v	v	NUM
ap-940	178	2	ii	ii	INTJ
ap-940	179	1	i	i	PRON
ap-940	179	2	t	t	PROPN
ap-940	179	3	�	�	PROPN
ap-940	179	4	�	�	PROPN
ap-940	179	5	�	�	PROPN
ap-940	179	6	�	�	PROPN
ap-940	179	7	�	�	PROPN
ap-940	179	8	�	�	PROPN
ap-940	179	9	�	�	PROPN
ap-940	179	10	�	�	PROPN
ap-940	179	11	�	�	PROPN
ap-940	179	12	�	�	PROPN
ap-940	179	13	d	d	PROPN
ap-940	179	14	d	d	X
ap-940	179	15	rest	rest	NOUN
ap-940	179	16	(	(	PUNCT
ap-940	179	17	)	)	PUNCT
ap-940	179	18	,	,	PUNCT
ap-940	179	19	at	at	ADP
ap-940	179	20	third	third	ADJ
ap-940	179	21	introduce	introduce	NOUN
ap-940	179	22	subsidiary	subsidiary	NOUN
ap-940	179	23	-	-	PUNCT
ap-940	179	24	like	like	ADJ
ap-940	179	25	lagrangian	lagrangian	ADJ
ap-940	179	26	�	�	PROPN
ap-940	179	27	�	�	PROPN
ap-940	179	28	�	�	PROPN
ap-940	179	29	using	use	VERB
ap-940	179	30	the	the	DET
ap-940	179	31	potential	potential	ADJ
ap-940	179	32	�	�	NOUN
ap-940	179	33	and	and	CCONJ
ap-940	179	34	express	express	VERB
ap-940	179	35	the	the	DET
ap-940	179	36	c.p	c.p	PROPN
ap-940	179	37	.	.	PROPN
ap-940	179	38	term	term	NOUN
ap-940	179	39	in	in	ADP
ap-940	179	40	the	the	DET
ap-940	179	41	form	form	NOUN
ap-940	179	42	:	:	PUNCT
ap-940	179	43	c.p	c.p	PROPN
ap-940	179	44	.	.	PUNCT
ap-940	180	1	i	i	PRON
ap-940	180	2	s	s	VERB
ap-940	180	3	i	i	PRON
ap-940	180	4	�	�	PROPN
ap-940	180	5	�	�	PROPN
ap-940	180	6	�	�	PROPN
ap-940	180	7	�	�	PROPN
ap-940	180	8	�	�	PROPN
ap-940	180	9	�	�	PROPN
ap-940	180	10	�	�	PROPN
ap-940	180	11	�	�	PROPN
ap-940	180	12	�	�	PROPN
ap-940	180	13	�	�	PROPN
ap-940	180	14	�	�	PROPN
ap-940	180	15	�	�	PROPN
ap-940	180	16	�	�	PROPN
ap-940	180	17	�	�	PROPN
ap-940	180	18	�	�	PROPN
ap-940	180	19	!	!	PUNCT
ap-940	180	20	exp	exp	NOUN
ap-940	180	21	exp	exp	NOUN
ap-940	180	22	�	�	PROPN
ap-940	180	23	�	�	PROPN
ap-940	180	24	class	class	NOUN
ap-940	180	25	class	class	NOUN
ap-940	180	26	�	�	PROPN
ap-940	180	27	�	�	PROPN
ap-940	180	28	�	�	PROPN
ap-940	180	29	�	�	PROPN
ap-940	180	30	�	�	PROPN
ap-940	180	31	.	.	PUNCT
ap-940	181	1	(	(	PUNCT
ap-940	181	2	16	16	NUM
ap-940	181	3	)	)	PUNCT
ap-940	181	4	this	this	DET
ap-940	181	5	procedure	procedure	NOUN
ap-940	181	6	,	,	PUNCT
ap-940	181	7	however	however	ADV
ap-940	181	8	,	,	PUNCT
ap-940	181	9	seems	seem	VERB
ap-940	181	10	not	not	PART
ap-940	181	11	to	to	PART
ap-940	181	12	be	be	AUX
ap-940	181	13	absolutely	absolutely	ADV
ap-940	181	14	correct	correct	ADJ
ap-940	181	15	.	.	PUNCT
ap-940	182	1	lack	lack	NOUN
ap-940	182	2	of	of	ADP
ap-940	182	3	the	the	DET
ap-940	182	4	classical	classical	ADJ
ap-940	182	5	limit	limit	NOUN
ap-940	182	6	becomes	become	VERB
ap-940	182	7	more	more	ADV
ap-940	182	8	-	-	PUNCT
ap-940	182	9	or	or	CCONJ
ap-940	182	10	-	-	PUNCT
ap-940	182	11	less	less	ADV
ap-940	182	12	apparent	apparent	ADJ
ap-940	182	13	here	here	ADV
ap-940	182	14	(	(	PUNCT
ap-940	182	15	see	see	VERB
ap-940	182	16	the	the	DET
ap-940	182	17	results	result	NOUN
ap-940	182	18	in	in	ADP
ap-940	182	19	the	the	DET
ap-940	182	20	next	next	ADJ
ap-940	182	21	section	section	NOUN
ap-940	182	22	)	)	PUNCT
ap-940	182	23	.	.	PUNCT
ap-940	183	1	when	when	SCONJ
ap-940	183	2	varying	vary	VERB
ap-940	183	3	of	of	ADP
ap-940	183	4	the	the	DET
ap-940	183	5	above	above	ADJ
ap-940	183	6	term	term	NOUN
ap-940	183	7	we	we	PRON
ap-940	183	8	do	do	AUX
ap-940	183	9	not	not	PART
ap-940	183	10	get	get	VERB
ap-940	183	11	back	back	ADV
ap-940	183	12	the	the	DET
ap-940	183	13	initial	initial	ADJ
ap-940	183	14	differential	differential	NOUN
ap-940	183	15	system	system	NOUN
ap-940	183	16	(	(	PUNCT
ap-940	183	17	6	6	NUM
ap-940	183	18	)	)	PUNCT
ap-940	183	19	.	.	PUNCT
ap-940	184	1	the	the	DET
ap-940	184	2	classical	classical	ADJ
ap-940	184	3	limit	limit	NOUN
ap-940	184	4	,	,	PUNCT
ap-940	184	5	or	or	CCONJ
ap-940	184	6	equivalently	equivalently	ADV
ap-940	184	7	,	,	PUNCT
ap-940	184	8	the	the	DET
ap-940	184	9	classical	classical	ADJ
ap-940	184	10	time	time	NOUN
ap-940	184	11	evolution	evolution	NOUN
ap-940	184	12	of	of	ADP
ap-940	184	13	the	the	DET
ap-940	184	14	expectation	expectation	NOUN
ap-940	184	15	values	value	NOUN
ap-940	184	16	of	of	ADP
ap-940	184	17	the	the	DET
ap-940	184	18	corresponding	corresponding	ADJ
ap-940	184	19	physical	physical	ADJ
ap-940	184	20	operators	operator	NOUN
ap-940	184	21	(	(	PUNCT
ap-940	184	22	ehrenfest	ehrenfest	NOUN
ap-940	184	23	theorem	theorem	VERB
ap-940	184	24	)	)	PUNCT
ap-940	184	25	is	be	AUX
ap-940	184	26	achieved	achieve	VERB
ap-940	184	27	only	only	ADV
ap-940	184	28	in	in	ADP
ap-940	184	29	the	the	DET
ap-940	184	30	regime	regime	NOUN
ap-940	184	31	where	where	SCONJ
ap-940	184	32	�	�	PROPN
ap-940	184	33	i	i	PRON
ap-940	184	34	rest	rest	VERB
ap-940	184	35	can	can	AUX
ap-940	184	36	be	be	AUX
ap-940	184	37	treated	treat	VERB
ap-940	184	38	as	as	ADP
ap-940	184	39	small	small	ADJ
ap-940	184	40	perturbations	perturbation	NOUN
ap-940	184	41	to	to	ADP
ap-940	184	42	potential	potential	ADJ
ap-940	184	43	-	-	PUNCT
ap-940	184	44	generated	generate	VERB
ap-940	184	45	forces	force	NOUN
ap-940	184	46	.	.	PUNCT
ap-940	185	1	thus	thus	ADV
ap-940	185	2	,	,	PUNCT
ap-940	185	3	(	(	PUNCT
ap-940	185	4	15	15	NUM
ap-940	185	5	)	)	PUNCT
ap-940	185	6	with	with	ADP
ap-940	185	7	the	the	DET
ap-940	185	8	c.p	c.p	PROPN
ap-940	185	9	.	.	PROPN
ap-940	185	10	term	term	NOUN
ap-940	185	11	of	of	ADP
ap-940	185	12	the	the	DET
ap-940	185	13	form	form	NOUN
ap-940	185	14	(	(	PUNCT
ap-940	185	15	16	16	NUM
ap-940	185	16	)	)	PUNCT
ap-940	185	17	can	can	AUX
ap-940	185	18	serve	serve	VERB
ap-940	185	19	as	as	ADP
ap-940	185	20	a	a	DET
ap-940	185	21	type	type	NOUN
ap-940	185	22	of	of	ADP
ap-940	185	23	effective	effective	ADJ
ap-940	185	24	perturbation	perturbation	NOUN
ap-940	185	25	theory	theory	NOUN
ap-940	185	26	when	when	SCONJ
ap-940	185	27	the	the	DET
ap-940	185	28	perturbations	perturbation	NOUN
ap-940	185	29	are	be	AUX
ap-940	185	30	not	not	PART
ap-940	185	31	potential	potential	ADJ
ap-940	185	32	-	-	PUNCT
ap-940	185	33	generated	generate	VERB
ap-940	185	34	.	.	PUNCT
ap-940	186	1	5	5	NUM
ap-940	186	2	an	an	DET
ap-940	186	3	example	example	NOUN
ap-940	186	4	:	:	PUNCT
ap-940	186	5	quantum	quantum	ADJ
ap-940	186	6	mechanics	mechanic	NOUN
ap-940	186	7	with	with	ADP
ap-940	186	8	friction	friction	NOUN
ap-940	186	9	let	let	VERB
ap-940	186	10	us	we	PRON
ap-940	186	11	focus	focus	VERB
ap-940	186	12	on	on	ADP
ap-940	186	13	the	the	DET
ap-940	186	14	perturbation	perturbation	NOUN
ap-940	186	15	-	-	PUNCT
ap-940	186	16	like	like	ADJ
ap-940	186	17	quantization	quantization	NOUN
ap-940	186	18	of	of	ADP
ap-940	186	19	the	the	DET
ap-940	186	20	dynamics	dynamic	NOUN
ap-940	186	21	of	of	ADP
ap-940	186	22	a	a	DET
ap-940	186	23	unit	unit	NOUN
ap-940	186	24	mass	mass	NOUN
ap-940	186	25	particle	particle	NOUN
ap-940	186	26	moving	move	VERB
ap-940	186	27	in	in	ADP
ap-940	186	28	m	m	PROPN
ap-940	186	29	x	x	NOUN
ap-940	186	30	�	�	PROPN
ap-940	186	31	�	�	PROPN
ap-940	186	32	[	[	PUNCT
ap-940	186	33	]	]	X
ap-940	186	34	,	,	PUNCT
ap-940	186	35	which	which	PRON
ap-940	186	36	is	be	AUX
ap-940	186	37	driven	drive	VERB
ap-940	186	38	by	by	ADP
ap-940	186	39	the	the	DET
ap-940	186	40	conservative	conservative	ADJ
ap-940	186	41	force	force	PROPN
ap-940	186	42	�	�	PROPN
ap-940	186	43	�	�	PROPN
ap-940	186	44	�	�	PROPN
ap-940	186	45	�	�	PROPN
ap-940	187	1	d	d	PROPN
ap-940	187	2	dx	dx	PROPN
ap-940	187	3	x	x	X
ap-940	187	4	(	(	PUNCT
ap-940	187	5	)	)	PUNCT
ap-940	187	6	along	along	ADP
ap-940	187	7	with	with	ADP
ap-940	187	8	the	the	DET
ap-940	187	9	friction	friction	NOUN
ap-940	187	10	�	�	PROPN
ap-940	187	11	rest	rest	PROPN
ap-940	187	12	�	�	PROPN
ap-940	187	13	�	�	PROPN
ap-940	187	14	�	�	PROPN
ap-940	187	15	v.	v.	ADP
ap-940	187	16	the	the	DET
ap-940	187	17	extended	extend	VERB
ap-940	187	18	tangent	tangent	NOUN
ap-940	187	19	bundle	bundle	PROPN
ap-940	187	20	t	t	PROPN
ap-940	187	21	x	x	PROPN
ap-940	187	22	v	v	ADP
ap-940	187	23	t	t	PROPN
ap-940	187	24	�	�	PROPN
ap-940	187	25	�	�	PROPN
ap-940	187	26	[	[	PUNCT
ap-940	187	27	,	,	PUNCT
ap-940	187	28	]	]	X
ap-940	187	29	[	[	PUNCT
ap-940	187	30	]	]	X
ap-940	187	31	�	�	PROPN
ap-940	187	32	corresponds	correspond	VERB
ap-940	187	33	to	to	ADP
ap-940	187	34	an	an	DET
ap-940	187	35	ordinary	ordinary	ADJ
ap-940	187	36	three	three	NUM
ap-940	187	37	-	-	PUNCT
ap-940	187	38	dimensional	dimensional	ADJ
ap-940	187	39	cartesian	cartesian	ADJ
ap-940	187	40	space	space	NOUN
ap-940	187	41	.	.	PUNCT
ap-940	188	1	the	the	DET
ap-940	188	2	distinguished	distinguished	ADJ
ap-940	188	3	two	two	NUM
ap-940	188	4	-	-	PUNCT
ap-940	188	5	form	form	NOUN
ap-940	188	6	takes	take	VERB
ap-940	188	7	the	the	DET
ap-940	188	8	simple	simple	ADJ
ap-940	188	9	form	form	NOUN
ap-940	188	10	�	�	PROPN
ap-940	188	11	�	�	PROPN
ap-940	188	12	�	�	PROPN
ap-940	188	13	�	�	PROPN
ap-940	188	14	�	�	PROPN
ap-940	188	15	�	�	PROPN
ap-940	188	16	�	�	PROPN
ap-940	188	17	�	�	PROPN
ap-940	188	18	�	�	PROPN
ap-940	188	19	�	�	PROPN
ap-940	188	20	�	�	PROPN
ap-940	188	21	�	�	PROPN
ap-940	188	22	�	�	PROPN
ap-940	188	23	�	�	PROPN
ap-940	188	24	�	�	PROPN
ap-940	188	25	�	�	PROPN
ap-940	188	26	v	v	PROPN
ap-940	188	27	x	x	SYM
ap-940	188	28	t	t	NOUN
ap-940	188	29	v	v	NOUN
ap-940	188	30	x	x	SYM
ap-940	188	31	v	v	NOUN
ap-940	188	32	x	x	PART
ap-940	188	33	td	td	NOUN
ap-940	189	1	d	d	X
ap-940	189	2	d	d	PROPN
ap-940	189	3	d	d	PROPN
ap-940	189	4	d	d	PROPN
ap-940	189	5	1	1	NUM
ap-940	189	6	2	2	NUM
ap-940	189	7	2	2	NUM
ap-940	189	8	�	�	PROPN
ap-940	189	9	(	(	PUNCT
ap-940	189	10	)	)	PUNCT
ap-940	189	11	.	.	PUNCT
ap-940	190	1	our	our	PRON
ap-940	190	2	aim	aim	NOUN
ap-940	190	3	is	be	AUX
ap-940	190	4	to	to	PART
ap-940	190	5	evaluate	evaluate	VERB
ap-940	190	6	the	the	DET
ap-940	190	7	transition	transition	NOUN
ap-940	190	8	amplitude	amplitude	NOUN
ap-940	190	9	as	as	ADP
ap-940	190	10	a	a	DET
ap-940	190	11	function	function	NOUN
ap-940	190	12	of	of	ADP
ap-940	190	13	the	the	DET
ap-940	190	14	initial	initial	ADJ
ap-940	190	15	and	and	CCONJ
ap-940	190	16	final	final	ADJ
ap-940	190	17	events	event	NOUN
ap-940	190	18	.	.	PUNCT
ap-940	191	1	suppose	suppose	VERB
ap-940	191	2	we	we	PRON
ap-940	191	3	have	have	AUX
ap-940	191	4	chosen	choose	VERB
ap-940	191	5	a	a	DET
ap-940	191	6	solution	solution	NOUN
ap-940	191	7	�	�	NOUN
ap-940	191	8	class	class	NOUN
ap-940	191	9	class	class	NOUN
ap-940	191	10	class	class	NOUN
ap-940	191	11	class	class	NOUN
ap-940	191	12	(	(	PUNCT
ap-940	191	13	)	)	PUNCT
ap-940	191	14	(	(	PUNCT
ap-940	191	15	(	(	PUNCT
ap-940	191	16	)	)	PUNCT
ap-940	191	17	,	,	PUNCT
ap-940	191	18	(	(	PUNCT
ap-940	191	19	)	)	PUNCT
ap-940	191	20	�	�	PROPN
ap-940	191	21	(	(	PUNCT
ap-940	191	22	)	)	PUNCT
ap-940	191	23	,	,	PUNCT
ap-940	191	24	)	)	PUNCT
ap-940	191	25	�	�	PROPN
ap-940	191	26	�	�	PROPN
ap-940	191	27	�	�	PROPN
ap-940	191	28	x	x	PROPN
ap-940	191	29	v	v	PROPN
ap-940	191	30	x	x	SYM
ap-940	191	31	t	t	NOUN
ap-940	191	32	of	of	ADP
ap-940	191	33	the	the	DET
ap-940	191	34	newton	newton	PROPN
ap-940	191	35	-	-	PUNCT
ap-940	191	36	lagrange	lagrange	PROPN
ap-940	191	37	equation	equation	NOUN
ap-940	191	38	of	of	ADP
ap-940	191	39	motion	motion	NOUN
ap-940	191	40	:	:	PUNCT
ap-940	191	41	�	�	PROPN
ap-940	191	42	�	�	PROPN
ap-940	191	43	(	(	PUNCT
ap-940	191	44	)	)	PUNCT
ap-940	191	45	�	�	PROPN
ap-940	191	46	x	x	SYM
ap-940	191	47	x	x	SYM
ap-940	191	48	x	x	SYM
ap-940	191	49	�	�	PROPN
ap-940	191	50	�	�	PROPN
ap-940	191	51	�	�	PROPN
ap-940	191	52	�	�	PROPN
ap-940	191	53	,	,	PUNCT
ap-940	191	54	which	which	PRON
ap-940	191	55	respect	respect	VERB
ap-940	191	56	the	the	DET
ap-940	191	57	initial	initial	ADJ
ap-940	191	58	and	and	CCONJ
ap-940	191	59	final	final	ADJ
ap-940	191	60	conditions	condition	NOUN
ap-940	191	61	:	:	PUNCT
ap-940	191	62	x	x	X
ap-940	191	63	t	t	X
ap-940	191	64	qclass	qclass	NOUN
ap-940	191	65	(	(	PUNCT
ap-940	191	66	)	)	PUNCT
ap-940	191	67	0	0	SYM
ap-940	191	68	0	0	NUM
ap-940	191	69	�	�	PROPN
ap-940	191	70	and	and	CCONJ
ap-940	191	71	x	x	PROPN
ap-940	191	72	t	t	NOUN
ap-940	191	73	qclass	qclass	NOUN
ap-940	191	74	(	(	PUNCT
ap-940	191	75	)	)	PUNCT
ap-940	191	76	1	1	NUM
ap-940	191	77	1	1	NUM
ap-940	191	78	�	�	PROPN
ap-940	191	79	.	.	PUNCT
ap-940	192	1	direct	direct	ADJ
ap-940	192	2	application	application	NOUN
ap-940	192	3	of	of	ADP
ap-940	192	4	formula	formula	NOUN
ap-940	192	5	(	(	PUNCT
ap-940	192	6	15	15	NUM
ap-940	192	7	)	)	PUNCT
ap-940	192	8	then	then	ADV
ap-940	192	9	leads	lead	VERB
ap-940	192	10	to	to	ADP
ap-940	192	11	the	the	DET
ap-940	192	12	following	follow	VERB
ap-940	192	13	expression	expression	NOUN
ap-940	192	14	:	:	PUNCT
ap-940	192	15	a	a	PRON
ap-940	192	16	(	(	PUNCT
ap-940	192	17	,	,	PUNCT
ap-940	192	18	;	;	PUNCT
ap-940	192	19	,	,	PUNCT
ap-940	192	20	)	)	PUNCT
ap-940	192	21	exp	exp	NOUN
ap-940	192	22	exp	exp	NOUN
ap-940	192	23	q	q	PROPN
ap-940	192	24	t	t	PROPN
ap-940	192	25	q	q	PROPN
ap-940	193	1	t	t	PROPN
ap-940	194	1	i	i	PRON
ap-940	194	2	s	s	VERB
ap-940	194	3	i	i	PRON
ap-940	194	4	v	v	NOUN
ap-940	194	5	x	x	SYM
ap-940	194	6	0	0	NUM
ap-940	194	7	0	0	NUM
ap-940	194	8	1	1	NUM
ap-940	194	9	1	1	NUM
ap-940	194	10	1	1	NUM
ap-940	194	11	"	"	PUNCT
ap-940	194	12	�	�	PROPN
ap-940	194	13	�	�	PROPN
ap-940	194	14	�	�	PROPN
ap-940	194	15	�	�	PROPN
ap-940	194	16	�	�	PROPN
ap-940	194	17	!	!	PUNCT
ap-940	194	18	�	�	PROPN
ap-940	194	19	�	�	PROPN
ap-940	194	20	class	class	PROPN
ap-940	194	21	umb	umb	PROPN
ap-940	194	22	[	[	PUNCT
ap-940	194	23	]	]	X
ap-940	194	24	�	�	NOUN
ap-940	194	25	�	�	PROPN
ap-940	194	26	d	d	ADP
ap-940	194	27	2	2	NUM
ap-940	194	28	2v	2v	NUM
ap-940	194	29	x	x	SYM
ap-940	195	1	t	t	PROPN
ap-940	195	2	v	v	NUM
ap-940	195	3	x	x	SYM
ap-940	195	4	t	t	PROPN
ap-940	195	5	�	�	PROPN
ap-940	195	6	�	�	PROPN
ap-940	195	7	�	�	PROPN
ap-940	195	8	�	�	PROPN
ap-940	195	9	�	�	PROPN
ap-940	195	10	�	�	PROPN
ap-940	195	11	�	�	PROPN
ap-940	195	12	�	�	PROPN
ap-940	195	13	�	�	PROPN
ap-940	195	14	�	�	PROPN
ap-940	195	15	�	�	PROPN
ap-940	195	16	�	�	PROPN
ap-940	195	17	�	�	PROPN
ap-940	195	18	�	�	PROPN
ap-940	195	19	�	�	PROPN
ap-940	195	20	�	�	PROPN
ap-940	195	21	�	�	PROPN
ap-940	195	22	�	�	PROPN
ap-940	195	23	�	�	PROPN
ap-940	195	24	�	�	PROPN
ap-940	195	25	�	�	PROPN
ap-940	195	26	�	�	PROPN
ap-940	195	27	!	!	PUNCT
ap-940	195	28	!	!	PUNCT
ap-940	196	1	�	�	PROPN
ap-940	196	2	(	(	PUNCT
ap-940	196	3	)	)	PUNCT
ap-940	196	4	d	d	PROPN
ap-940	196	5	d	d	PUNCT
ap-940	196	6	d	d	PROPN
ap-940	196	7	�	�	PROPN
ap-940	196	8	�	�	PROPN
ap-940	196	9	�	�	PROPN
ap-940	196	10	�	�	PROPN
ap-940	196	11	�	�	PROPN
ap-940	196	12	�	�	PROPN
ap-940	196	13	�	�	PROPN
ap-940	196	14	�	�	PROPN
ap-940	196	15	�	�	PROPN
ap-940	196	16	.	.	PUNCT
ap-940	197	1	(	(	PUNCT
ap-940	197	2	17	17	NUM
ap-940	197	3	)	)	PUNCT
ap-940	197	4	64	64	NUM
ap-940	197	5	©	©	PROPN
ap-940	197	6	czech	czech	PROPN
ap-940	197	7	technical	technical	PROPN
ap-940	197	8	university	university	PROPN
ap-940	197	9	publishing	publishing	NOUN
ap-940	197	10	house	house	NOUN
ap-940	197	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	197	12	acta	acta	PROPN
ap-940	197	13	polytechnica	polytechnica	PROPN
ap-940	197	14	vol	vol	NOUN
ap-940	197	15	.	.	PUNCT
ap-940	198	1	47	47	NUM
ap-940	198	2	no	no	INTJ
ap-940	198	3	.	.	PUNCT
ap-940	199	1	2–3/2007	2–3/2007	NUM
ap-940	200	1	©	©	PROPN
ap-940	200	2	czech	czech	PROPN
ap-940	200	3	technical	technical	PROPN
ap-940	200	4	university	university	PROPN
ap-940	200	5	publishing	publishing	NOUN
ap-940	200	6	house	house	NOUN
ap-940	200	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	200	8	65	65	NUM
ap-940	200	9	acta	acta	PROPN
ap-940	200	10	polytechnica	polytechnica	PROPN
ap-940	200	11	vol	vol	NOUN
ap-940	200	12	.	.	PUNCT
ap-940	201	1	47	47	NUM
ap-940	201	2	no	no	NOUN
ap-940	201	3	.	.	PUNCT
ap-940	202	1	2–3/2007	2–3/2007	NUM
ap-940	202	2	fig	fig	NOUN
ap-940	202	3	.	.	PUNCT
ap-940	203	1	4	4	NUM
ap-940	203	2	:	:	PUNCT
ap-940	203	3	schematic	schematic	ADJ
ap-940	203	4	picture	picture	NOUN
ap-940	203	5	of	of	ADP
ap-940	203	6	the	the	DET
ap-940	203	7	nodal	nodal	ADJ
ap-940	203	8	grid	grid	NOUN
ap-940	203	9	,	,	PUNCT
ap-940	203	10	points	point	NOUN
ap-940	203	11	marked	mark	VERB
ap-940	203	12	with	with	ADP
ap-940	203	13	empty	empty	ADJ
ap-940	203	14	circles	circle	NOUN
ap-940	203	15	are	be	AUX
ap-940	203	16	constrained	constrain	VERB
ap-940	203	17	by	by	ADP
ap-940	203	18	(	(	PUNCT
ap-940	203	19	18	18	NUM
ap-940	203	20	)	)	PUNCT
ap-940	203	21	.	.	PUNCT
ap-940	204	1	to	to	PART
ap-940	204	2	evaluate	evaluate	VERB
ap-940	204	3	the	the	DET
ap-940	204	4	world	world	NOUN
ap-940	204	5	-	-	PUNCT
ap-940	204	6	sheet	sheet	NOUN
ap-940	204	7	functional	functional	ADJ
ap-940	204	8	integral	integral	ADJ
ap-940	204	9	entering	enter	VERB
ap-940	204	10	the	the	DET
ap-940	204	11	above	above	ADJ
ap-940	204	12	formula	formula	NOUN
ap-940	204	13	,	,	PUNCT
ap-940	204	14	let	let	VERB
ap-940	204	15	us	we	PRON
ap-940	204	16	introduce	introduce	VERB
ap-940	204	17	a	a	DET
ap-940	204	18	grid	grid	NOUN
ap-940	204	19	in	in	ADP
ap-940	204	20	the	the	DET
ap-940	204	21	underlying	underlie	VERB
ap-940	204	22	parametric	parametric	ADJ
ap-940	204	23	space	space	NOUN
ap-940	204	24	t	t	PROPN
ap-940	204	25	t0	t0	PROPN
ap-940	204	26	1	1	NUM
ap-940	204	27	20	20	NUM
ap-940	204	28	1	1	NUM
ap-940	204	29	,	,	PUNCT
ap-940	204	30	,	,	PUNCT
ap-940	204	31	[	[	PUNCT
ap-940	204	32	,	,	PUNCT
ap-940	204	33	]	]	PUNCT
ap-940	204	34	�	�	PROPN
ap-940	204	35	%	%	NOUN
ap-940	204	36	�	�	PROPN
ap-940	204	37	:	:	PUNCT
ap-940	204	38	�	�	PROPN
ap-940	204	39	�	�	PROPN
ap-940	204	40	�	�	PROPN
ap-940	204	41	(	(	PUNCT
ap-940	204	42	,	,	PUNCT
ap-940	204	43	)	)	PUNCT
ap-940	204	44	:	:	PUNCT
ap-940	204	45	(	(	PUNCT
ap-940	204	46	,	,	PUNCT
ap-940	204	47	)	)	PUNCT
ap-940	204	48	[	[	PUNCT
ap-940	204	49	,	,	PUNCT
ap-940	204	50	]	]	X
ap-940	204	51	;	;	PUNCT
ap-940	204	52	a	a	DET
ap-940	204	53	b	b	PROPN
ap-940	204	54	t	t	PROPN
ap-940	204	55	a	a	DET
ap-940	204	56	b	b	NOUN
ap-940	204	57	a	a	DET
ap-940	204	58	nodes	node	NOUN
ap-940	204	59	time	time	NOUN
ap-940	204	60	index	index	NOUN
ap-940	204	61	runs	run	VERB
ap-940	204	62	fro	fro	VERB
ap-940	204	63	�	�	PROPN
ap-940	204	64	�	�	PROPN
ap-940	204	65	�	�	PROPN
ap-940	204	66	0	0	NUM
ap-940	204	67	2	2	NUM
ap-940	204	68	�	�	PROPN
ap-940	204	69	�	�	PROPN
ap-940	204	70	�	�	PROPN
ap-940	204	71	�	�	PROPN
ap-940	204	72	m	m	PART
ap-940	204	73	to	to	ADP
ap-940	204	74	and	and	CCONJ
ap-940	204	75	distance	distance	NOUN
ap-940	204	76	index	index	NOUN
ap-940	204	77	runs	run	VERB
ap-940	204	78	from	from	ADP
ap-940	204	79	to0	to0	PROPN
ap-940	204	80	0k	0k	NOUN
ap-940	204	81	b	b	X
ap-940	204	82	l	l	NOUN
ap-940	204	83	we	we	PRON
ap-940	204	84	get	get	VERB
ap-940	204	85	rectangular	rectangular	ADJ
ap-940	204	86	tiles	tile	NOUN
ap-940	204	87	,	,	PUNCT
ap-940	204	88	each	each	PRON
ap-940	204	89	of	of	ADP
ap-940	204	90	which	which	PRON
ap-940	204	91	encloses	enclose	VERB
ap-940	204	92	the	the	DET
ap-940	204	93	infinitesimal	infinitesimal	ADJ
ap-940	204	94	area	area	NOUN
ap-940	204	95	�	�	PROPN
ap-940	204	96	�	�	PROPN
ap-940	204	97	�	�	PROPN
ap-940	204	98	�	�	PROPN
ap-940	204	99	�	�	PROPN
ap-940	204	100	�	�	PROPN
ap-940	204	101	t	t	PROPN
ap-940	204	102	t	t	PROPN
ap-940	204	103	k	k	PROPN
ap-940	204	104	l	l	PROPN
ap-940	205	1	1	1	NUM
ap-940	205	2	0	0	NUM
ap-940	205	3	1	1	NUM
ap-940	205	4	0	0	NUM
ap-940	205	5	.	.	PUNCT
ap-940	206	1	at	at	ADP
ap-940	206	2	the	the	DET
ap-940	206	3	end	end	NOUN
ap-940	206	4	the	the	DET
ap-940	206	5	numbers	number	NOUN
ap-940	206	6	k	k	PROPN
ap-940	206	7	and	and	CCONJ
ap-940	206	8	l	l	NOUN
ap-940	206	9	will	will	AUX
ap-940	206	10	be	be	AUX
ap-940	206	11	sent	send	VERB
ap-940	206	12	to	to	ADP
ap-940	206	13	infinity	infinity	NOUN
ap-940	206	14	and	and	CCONJ
ap-940	206	15	the	the	DET
ap-940	206	16	volume	volume	NOUN
ap-940	206	17	�	�	PROPN
ap-940	206	18	�	�	PROPN
ap-940	206	19	�	�	PROPN
ap-940	206	20	d	d	PROPN
ap-940	206	21	d	d	PROPN
ap-940	206	22	.	.	PUNCT
ap-940	207	1	after	after	SCONJ
ap-940	207	2	this	this	DET
ap-940	207	3	splitting	splitting	NOUN
ap-940	207	4	has	have	AUX
ap-940	207	5	been	be	AUX
ap-940	207	6	performed	perform	VERB
ap-940	207	7	,	,	PUNCT
ap-940	207	8	any	any	DET
ap-940	207	9	“	"	PUNCT
ap-940	207	10	umbilical	umbilical	ADJ
ap-940	207	11	“	"	PUNCT
ap-940	207	12	string	string	PROPN
ap-940	207	13	�	�	PROPN
ap-940	207	14	�	�	PROPN
ap-940	207	15	:	:	PUNCT
ap-940	207	16	[	[	PUNCT
ap-940	207	17	,	,	PUNCT
ap-940	207	18	]	]	X
ap-940	207	19	[	[	PUNCT
ap-940	207	20	,	,	PUNCT
ap-940	207	21	,	,	PUNCT
ap-940	207	22	]	]	PUNCT
ap-940	207	23	,	,	PUNCT
ap-940	207	24	(	(	PUNCT
ap-940	207	25	,	,	PUNCT
ap-940	207	26	(	(	PUNCT
ap-940	207	27	,	,	PUNCT
ap-940	207	28	(	(	PUNCT
ap-940	207	29	,	,	PUNCT
ap-940	207	30	,	,	PUNCT
ap-940	207	31	(	(	PUNCT
ap-940	207	32	,	,	PUNCT
ap-940	207	33	(	(	PUNCT
ap-940	207	34	�	�	PROPN
ap-940	207	35	�	�	PROPN
ap-940	207	36	2	2	NUM
ap-940	207	37	3	3	NUM
ap-940	207	38	�	�	PROPN
ap-940	207	39	�	�	PROPN
ap-940	207	40	�	�	PROPN
ap-940	207	41	�	�	PROPN
ap-940	207	42	x	x	PROPN
ap-940	207	43	v	v	ADP
ap-940	207	44	t	t	PROPN
ap-940	207	45	x	x	X
ap-940	207	46	v	v	ADP
ap-940	207	47	t	t	PROPN
ap-940	207	48	�	�	PROPN
ap-940	207	49	,	,	PUNCT
ap-940	207	50	�	�	PROPN
ap-940	207	51	can	can	AUX
ap-940	207	52	be	be	AUX
ap-940	207	53	discretized	discretize	VERB
ap-940	207	54	by	by	ADP
ap-940	207	55	evaluating	evaluate	VERB
ap-940	207	56	its	its	PRON
ap-940	207	57	coordinate	coordinate	NOUN
ap-940	207	58	functions	function	NOUN
ap-940	207	59	at	at	ADP
ap-940	207	60	the	the	DET
ap-940	207	61	nodes	node	NOUN
ap-940	207	62	of	of	ADP
ap-940	207	63	the	the	DET
ap-940	207	64	considered	consider	VERB
ap-940	207	65	grid	grid	PROPN
ap-940	207	66	�	�	PROPN
ap-940	207	67	�	�	PROPN
ap-940	207	68	(	(	PUNCT
ap-940	207	69	,	,	PUNCT
ap-940	207	70	)	)	PUNCT
ap-940	207	71	a	a	DET
ap-940	207	72	b	b	NOUN
ap-940	207	73	nodes	node	NOUN
ap-940	207	74	,	,	PUNCT
ap-940	207	75	i.e.	i.e.	X
ap-940	207	76	�	�	PROPN
ap-940	207	77	�	�	PROPN
ap-940	207	78	�	�	PROPN
ap-940	207	79	�	�	PROPN
ap-940	207	80	�	�	PROPN
ap-940	207	81	�	�	PROPN
ap-940	207	82	�	�	PROPN
ap-940	207	83	:	:	PUNCT
ap-940	207	84	(	(	PUNCT
ap-940	207	85	,	,	PUNCT
ap-940	207	86	)	)	PUNCT
ap-940	207	87	(	(	PUNCT
ap-940	207	88	,	,	PUNCT
ap-940	207	89	)	)	PUNCT
ap-940	207	90	(	(	PUNCT
ap-940	207	91	,	,	PUNCT
ap-940	207	92	,	,	PUNCT
ap-940	207	93	)	)	PUNCT
ap-940	207	94	(	(	PUNCT
ap-940	207	95	,	,	PUNCT
ap-940	207	96	)	)	PUNCT
ap-940	207	97	(	(	PUNCT
ap-940	207	98	,	,	PUNCT
ap-940	207	99	)	)	PUNCT
ap-940	207	100	a	a	DET
ap-940	207	101	b	b	NOUN
ap-940	207	102	a	a	DET
ap-940	207	103	b	b	NOUN
ap-940	207	104	x	x	SYM
ap-940	207	105	v	v	ADP
ap-940	207	106	t	t	PROPN
ap-940	207	107	aa	aa	NOUN
ap-940	207	108	b	b	PROPN
ap-940	207	109	a	a	DET
ap-940	207	110	bnodes	bnode	NOUN
ap-940	207	111	�	�	PROPN
ap-940	207	112	�	�	PROPN
ap-940	207	113	�	�	PROPN
ap-940	207	114	0	0	NUM
ap-940	207	115	.	.	PUNCT
ap-940	208	1	here	here	ADV
ap-940	208	2	,	,	PUNCT
ap-940	208	3	to	to	PART
ap-940	208	4	keep	keep	VERB
ap-940	208	5	the	the	DET
ap-940	208	6	ensemble	ensemble	ADJ
ap-940	208	7	�	�	PROPN
ap-940	208	8	(	(	PUNCT
ap-940	208	9	,	,	PUNCT
ap-940	208	10	)	)	PUNCT
ap-940	208	11	[	[	PUNCT
ap-940	208	12	,	,	PUNCT
ap-940	208	13	,	,	PUNCT
ap-940	208	14	]	]	PUNCT
ap-940	208	15	a	a	DET
ap-940	208	16	b	b	PROPN
ap-940	208	17	x	x	SYM
ap-940	208	18	v	v	PROPN
ap-940	208	19	t%	t%	X
ap-940	208	20	�	�	PROPN
ap-940	208	21	3	3	NUM
ap-940	208	22	within	within	ADP
ap-940	208	23	the	the	DET
ap-940	208	24	considered	considered	ADJ
ap-940	208	25	“	"	PUNCT
ap-940	208	26	umbilical	umbilical	ADJ
ap-940	208	27	“	"	PUNCT
ap-940	208	28	class	class	NOUN
ap-940	208	29	umb	umb	NOUN
ap-940	208	30	umb	umb	PROPN
ap-940	208	31	(	(	PUNCT
ap-940	208	32	class	class	PROPN
ap-940	208	33	�	�	PROPN
ap-940	208	34	�	�	PROPN
ap-940	208	35	)	)	PUNCT
ap-940	208	36	,	,	PUNCT
ap-940	208	37	we	we	PRON
ap-940	208	38	must	must	AUX
ap-940	208	39	impose	impose	VERB
ap-940	208	40	:	:	PUNCT
ap-940	208	41	&	&	CCONJ
ap-940	208	42	�	�	PROPN
ap-940	208	43	�	�	PROPN
ap-940	208	44	�	�	PROPN
ap-940	208	45	�	�	PROPN
ap-940	208	46	�	�	PROPN
ap-940	208	47	a	a	PRON
ap-940	208	48	k	k	NOUN
ap-940	208	49	x	x	PUNCT
ap-940	208	50	x	x	SYM
ap-940	208	51	t	t	PROPN
ap-940	208	52	a	a	DET
ap-940	208	53	x	x	X
ap-940	208	54	x	x	SYM
ap-940	208	55	t	t	PROPN
ap-940	208	56	aa	aa	PROPN
ap-940	208	57	a0	a0	PROPN
ap-940	208	58	0	0	NUM
ap-940	208	59	0	0	NUM
ap-940	208	60	0	0	NUM
ap-940	208	61	0	0	NUM
ap-940	208	62	,	,	PUNCT
ap-940	208	63	,	,	PUNCT
ap-940	208	64	(	(	PUNCT
ap-940	208	65	)	)	PUNCT
ap-940	208	66	,	,	PUNCT
ap-940	208	67	(	(	PUNCT
ap-940	208	68	(	(	PUNCT
ap-940	208	69	,	,	PUNCT
ap-940	208	70	)	)	PUNCT
ap-940	208	71	(	(	PUNCT
ap-940	208	72	,	,	PUNCT
ap-940	208	73	)	)	PUNCT
ap-940	208	74	�	�	PROPN
ap-940	208	75	class	class	NOUN
ap-940	208	76	class	class	NOUN
ap-940	208	77	�	�	PROPN
ap-940	208	78	�	�	PROPN
ap-940	208	79	�	�	PROPN
ap-940	208	80	�	�	PROPN
ap-940	208	81	�	�	PROPN
ap-940	208	82	�	�	PROPN
ap-940	208	83	�	�	PROPN
ap-940	208	84	�	�	PROPN
ap-940	208	85	)	)	PUNCT
ap-940	208	86	(	(	PUNCT
ap-940	208	87	,	,	PUNCT
ap-940	208	88	)	)	PUNCT
ap-940	208	89	(	(	PUNCT
ap-940	208	90	)	)	PUNCT
ap-940	208	91	,	,	PUNCT
ap-940	208	92	,	,	PUNCT
ap-940	208	93	,	,	PUNCT
ap-940	208	94	(	(	PUNCT
ap-940	208	95	(	(	PUNCT
ap-940	208	96	,	,	PUNCT
ap-940	208	97	)	)	PUNCT
ap-940	208	98	(	(	PUNCT
ap-940	208	99	,	,	PUNCT
ap-940	208	100	)	)	PUNCT
ap-940	208	101	�	�	PROPN
ap-940	208	102	�	�	PROPN
ap-940	208	103	�	�	PROPN
ap-940	208	104	&	&	CCONJ
ap-940	208	105	�	�	PROPN
ap-940	208	106	�	�	PROPN
ap-940	208	107	�	�	PROPN
ap-940	208	108	�	�	PROPN
ap-940	208	109	�	�	PROPN
ap-940	208	110	�	�	PROPN
ap-940	208	111	�	�	PROPN
ap-940	208	112	0	0	NUM
ap-940	208	113	1	1	NUM
ap-940	208	114	0	0	NUM
ap-940	208	115	0	0	NUM
ap-940	208	116	1	1	NUM
ap-940	208	117	class	class	NOUN
ap-940	208	118	b	b	NOUN
ap-940	208	119	l	l	NOUN
ap-940	208	120	x	x	X
ap-940	208	121	q	q	PUNCT
ap-940	208	122	x	x	X
ap-940	208	123	qb	qb	PROPN
ap-940	208	124	k	k	PROPN
ap-940	208	125	b	b	PROPN
ap-940	208	126	�	�	PROPN
ap-940	208	127	�	�	PROPN
ap-940	208	128	�	�	PROPN
ap-940	208	129	�	�	PROPN
ap-940	208	130	�	�	PROPN
ap-940	208	131	%	%	NOUN
ap-940	208	132	�	�	PROPN
ap-940	208	133	�	�	PROPN
ap-940	208	134	�	�	PROPN
ap-940	208	135	�	�	PROPN
ap-940	208	136	t	t	PROPN
ap-940	208	137	t0	t0	PROPN
ap-940	208	138	1	1	NUM
ap-940	208	139	,	,	PUNCT
ap-940	208	140	)	)	PUNCT
ap-940	208	141	(	(	PUNCT
ap-940	208	142	,	,	PUNCT
ap-940	208	143	)	)	PUNCT
ap-940	208	144	“	"	PUNCT
ap-940	208	145	”	"	PUNCT
ap-940	208	146	and	and	CCONJ
ap-940	208	147	d	d	ADP
ap-940	208	148	branes	brane	NOUN
ap-940	208	149	�	�	PROPN
ap-940	208	150	(	(	PUNCT
ap-940	208	151	18	18	NUM
ap-940	208	152	)	)	PUNCT
ap-940	208	153	therefore	therefore	ADV
ap-940	208	154	,	,	PUNCT
ap-940	208	155	formally	formally	ADV
ap-940	208	156	,	,	PUNCT
ap-940	208	157	the	the	DET
ap-940	208	158	functional	functional	ADJ
ap-940	208	159	integral	integral	ADJ
ap-940	208	160	over	over	ADP
ap-940	208	161	all	all	DET
ap-940	208	162	possible	possible	ADJ
ap-940	208	163	string	string	NOUN
ap-940	208	164	configurations	configuration	NOUN
ap-940	208	165	is	be	AUX
ap-940	208	166	a	a	DET
ap-940	208	167	formal	formal	ADJ
ap-940	208	168	limit	limit	NOUN
ap-940	208	169	of	of	ADP
ap-940	208	170	the	the	DET
ap-940	208	171	ordinary	ordinary	ADJ
ap-940	208	172	integrals	integral	NOUN
ap-940	208	173	taking	take	VERB
ap-940	208	174	them	they	PRON
ap-940	208	175	over	over	ADP
ap-940	208	176	all	all	DET
ap-940	208	177	unconstrained	unconstrained	ADJ
ap-940	208	178	variables	variable	NOUN
ap-940	208	179	in	in	ADP
ap-940	208	180	the	the	DET
ap-940	208	181	ensemble	ensemble	ADJ
ap-940	208	182	�	�	PROPN
ap-940	208	183	�	�	PROPN
ap-940	208	184	�	�	PROPN
ap-940	208	185	(	(	PUNCT
ap-940	208	186	,	,	PUNCT
ap-940	208	187	)	)	PUNCT
ap-940	208	188	a	a	DET
ap-940	208	189	b	b	NOUN
ap-940	208	190	,	,	PUNCT
ap-940	208	191	i.e.	i.e.	X
ap-940	208	192	:	:	PUNCT
ap-940	208	193	[	[	PUNCT
ap-940	208	194	]	]	X
ap-940	208	195	d	d	X
ap-940	208	196	d	d	X
ap-940	208	197	d	d	X
ap-940	208	198	d	d	PROPN
ap-940	208	199	umb	umb	PROPN
ap-940	208	200	�	�	PROPN
ap-940	208	201	�	�	PROPN
ap-940	208	202	!	!	PUNCT
ap-940	208	203	!	!	PUNCT
ap-940	209	1	�	�	PROPN
ap-940	209	2	�	�	PROPN
ap-940	209	3	'	'	PART
ap-940	209	4	�	�	PROPN
ap-940	209	5	'	'	PART
ap-940	209	6	�	�	NOUN
ap-940	209	7	'	'	PUNCT
ap-940	209	8	'	'	PUNCT
ap-940	209	9	:	:	PUNCT
ap-940	210	1	lim	lim	PROPN
ap-940	210	2	(	(	PUNCT
ap-940	210	3	,	,	PUNCT
ap-940	210	4	)	)	PUNCT
ap-940	210	5	(	(	PUNCT
ap-940	210	6	,	,	PUNCT
ap-940	210	7	)	)	PUNCT
ap-940	210	8	(	(	PUNCT
ap-940	210	9	,	,	PUNCT
ap-940	210	10	)	)	PUNCT
ap-940	210	11	(	(	PUNCT
ap-940	210	12	,	,	PUNCT
ap-940	210	13	k	k	X
ap-940	210	14	l	l	PUNCT
ap-940	211	1	a	a	PRON
ap-940	211	2	b	b	NOUN
ap-940	211	3	a	a	PRON
ap-940	211	4	b	b	PROPN
ap-940	211	5	b	b	X
ap-940	211	6	kx	kx	PROPN
ap-940	211	7	v	v	ADP
ap-940	211	8	v	v	PROPN
ap-940	211	9	v	v	X
ap-940	211	10	�	�	PROPN
ap-940	211	11	0	0	NUM
ap-940	211	12	b	b	PROPN
ap-940	211	13	b	b	PROPN
ap-940	211	14	l	l	NOUN
ap-940	211	15	a	a	DET
ap-940	211	16	k	k	PROPN
ap-940	211	17	)	)	PUNCT
ap-940	211	18	�	�	PROPN
ap-940	211	19	�	�	PROPN
ap-940	211	20	�	�	PROPN
ap-940	211	21	�	�	PROPN
ap-940	211	22	'	'	PUNCT
ap-940	211	23	'	'	PUNCT
ap-940	211	24	(	(	PUNCT
ap-940	211	25	(	(	PUNCT
ap-940	211	26	!	!	PUNCT
ap-940	211	27	�	�	PROPN
ap-940	211	28	�	�	PROPN
ap-940	211	29	�	�	PROPN
ap-940	211	30	�	�	PROPN
ap-940	211	31	�	�	PROPN
ap-940	211	32	�	�	PROPN
ap-940	211	33	�	�	PROPN
ap-940	211	34	�	�	PROPN
ap-940	211	35	11	11	NUM
ap-940	211	36	1	1	NUM
ap-940	211	37	when	when	SCONJ
ap-940	211	38	step	step	NOUN
ap-940	211	39	-	-	PUNCT
ap-940	211	40	wisely	wisely	ADV
ap-940	211	41	discretizing	discretize	VERB
ap-940	211	42	the	the	DET
ap-940	211	43	integrals	integral	NOUN
ap-940	211	44	in	in	ADP
ap-940	211	45	the	the	DET
ap-940	211	46	exponent	exponent	NOUN
ap-940	211	47	of	of	ADP
ap-940	211	48	(	(	PUNCT
ap-940	211	49	17	17	NUM
ap-940	211	50	)	)	PUNCT
ap-940	211	51	,	,	PUNCT
ap-940	211	52	taking	take	VERB
ap-940	211	53	into	into	ADP
ap-940	211	54	account	account	NOUN
ap-940	211	55	the	the	DET
ap-940	211	56	constraints	constraint	NOUN
ap-940	211	57	(	(	PUNCT
ap-940	211	58	18	18	NUM
ap-940	211	59	)	)	PUNCT
ap-940	211	60	,	,	PUNCT
ap-940	211	61	we	we	PRON
ap-940	211	62	get	get	VERB
ap-940	211	63	for	for	ADP
ap-940	211	64	the	the	DET
ap-940	211	65	bulk	bulk	ADJ
ap-940	211	66	term	term	NOUN
ap-940	211	67	(	(	PUNCT
ap-940	211	68	everything	everything	PRON
ap-940	211	69	is	be	AUX
ap-940	211	70	done	do	VERB
ap-940	211	71	with	with	ADP
ap-940	211	72	respect	respect	NOUN
ap-940	211	73	to	to	ADP
ap-940	211	74	the	the	DET
ap-940	211	75	chosen	choose	VERB
ap-940	211	76	orientation	orientation	NOUN
ap-940	211	77	of	of	ADP
ap-940	211	78	the	the	DET
ap-940	211	79	“	"	PUNCT
ap-940	211	80	umbilical	umbilical	ADJ
ap-940	211	81	“	"	PUNCT
ap-940	211	82	world	world	NOUN
ap-940	211	83	-	-	PUNCT
ap-940	211	84	sheet	sheet	NOUN
ap-940	211	85	�	�	NOUN
ap-940	211	86	):	):	PUNCT
ap-940	211	87	v	v	NOUN
ap-940	211	88	x	x	SYM
ap-940	211	89	t	t	NOUN
ap-940	211	90	v	v	NOUN
ap-940	212	1	x	x	SYM
ap-940	212	2	t	t	NOUN
ap-940	212	3	t	t	NOUN
ap-940	213	1	k	k	X
ap-940	213	2	l	l	PUNCT
ap-940	214	1	d	d	PUNCT
ap-940	214	2	d	d	X
ap-940	214	3	d	d	X
ap-940	214	4	d	d	PROPN
ap-940	214	5	�	�	PROPN
ap-940	214	6	�	�	PROPN
ap-940	214	7	�	�	PROPN
ap-940	214	8	�	�	PROPN
ap-940	214	9	�	�	PROPN
ap-940	214	10	�	�	PROPN
ap-940	214	11	�	�	PROPN
ap-940	214	12	!	!	PUNCT
ap-940	214	13	!	!	PUNCT
ap-940	214	14	!	!	PUNCT
ap-940	215	1	�	�	PROPN
ap-940	215	2	'	'	PART
ap-940	215	3	�	�	PROPN
ap-940	215	4	�	�	PROPN
ap-940	215	5	�	�	PROPN
ap-940	215	6	(	(	PUNCT
ap-940	215	7	,	,	PUNCT
ap-940	215	8	)	)	PUNCT
ap-940	215	9	(	(	PUNCT
ap-940	215	10	,	,	PUNCT
ap-940	215	11	)	)	PUNCT
ap-940	215	12	lim	lim	NOUN
ap-940	215	13	0	0	NUM
ap-940	215	14	1	1	NUM
ap-940	215	15	0	0	NUM
ap-940	215	16	1	1	NUM
ap-940	215	17	�	�	PROPN
ap-940	215	18	'	'	PART
ap-940	215	19	�	�	PROPN
ap-940	215	20	�	�	PROPN
ap-940	215	21	�	�	PROPN
ap-940	215	22	�	�	PROPN
ap-940	215	23	�	�	PROPN
ap-940	215	24	�	�	PROPN
ap-940	215	25	�	�	PROPN
ap-940	215	26	�	�	PROPN
ap-940	215	27	�	�	PROPN
ap-940	215	28	�	�	PROPN
ap-940	215	29	�	�	PROPN
ap-940	215	30	)	)	PUNCT
ap-940	215	31	)	)	PUNCT
ap-940	215	32	�	�	PROPN
ap-940	215	33	�	�	PROPN
ap-940	215	34	�	�	PROPN
ap-940	215	35	v	v	NOUN
ap-940	215	36	x	x	X
ap-940	215	37	x	x	X
ap-940	215	38	a	a	DET
ap-940	215	39	b	b	NOUN
ap-940	215	40	a	a	DET
ap-940	215	41	b	b	NOUN
ap-940	215	42	a	a	DET
ap-940	215	43	b	b	PROPN
ap-940	215	44	b	b	PROPN
ap-940	215	45	l	l	NOUN
ap-940	215	46	a	a	X
ap-940	215	47	k	k	X
ap-940	215	48	(	(	PUNCT
ap-940	215	49	,	,	PUNCT
ap-940	215	50	)	)	PUNCT
ap-940	215	51	(	(	PUNCT
ap-940	215	52	,	,	PUNCT
ap-940	215	53	)	)	PUNCT
ap-940	215	54	(	(	PUNCT
ap-940	215	55	,	,	PUNCT
ap-940	215	56	)	)	PUNCT
ap-940	215	57	1	1	NUM
ap-940	215	58	0	0	NUM
ap-940	215	59	1	1	NUM
ap-940	215	60	0	0	NUM
ap-940	215	61	1	1	NUM
ap-940	215	62	�	�	PROPN
ap-940	215	63	�	�	PROPN
ap-940	215	64	lim	lim	PROPN
ap-940	215	65	(	(	PUNCT
ap-940	215	66	,	,	PUNCT
ap-940	215	67	)	)	PUNCT
ap-940	215	68	(	(	PUNCT
ap-940	215	69	,	,	PUNCT
ap-940	215	70	)	)	PUNCT
ap-940	215	71	(	(	PUNCT
ap-940	215	72	,	,	PUNCT
ap-940	215	73	)	)	PUNCT
ap-940	215	74	(	(	PUNCT
ap-940	215	75	,	,	PUNCT
ap-940	215	76	)	)	PUNCT
ap-940	215	77	(	(	PUNCT
ap-940	215	78	,	,	PUNCT
ap-940	215	79	)	)	PUNCT
ap-940	216	1	k	k	NOUN
ap-940	216	2	l	l	PUNCT
ap-940	217	1	a	a	DET
ap-940	217	2	b	b	NOUN
ap-940	217	3	a	a	DET
ap-940	217	4	b	b	NOUN
ap-940	217	5	a	a	DET
ap-940	217	6	b	b	NOUN
ap-940	217	7	a	a	PRON
ap-940	217	8	a	a	DET
ap-940	217	9	a	a	PRON
ap-940	217	10	v	v	NOUN
ap-940	217	11	x	x	SYM
ap-940	217	12	x	x	SYM
ap-940	217	13	v	v	PROPN
ap-940	217	14	x	x	PART
ap-940	217	15	�	�	PROPN
ap-940	217	16	'	'	PART
ap-940	217	17	�	�	PROPN
ap-940	217	18	'	'	PART
ap-940	217	19	�	�	PROPN
ap-940	217	20	�	�	PROPN
ap-940	217	21	�	�	PROPN
ap-940	217	22	�	�	PROPN
ap-940	217	23	�	�	PROPN
ap-940	217	24	�	�	PROPN
ap-940	217	25	1	1	NUM
ap-940	217	26	0	0	NUM
ap-940	217	27	1	1	NUM
ap-940	217	28	0	0	NUM
ap-940	217	29	�	�	PROPN
ap-940	217	30	�	�	PROPN
ap-940	218	1	k	k	PROPN
ap-940	218	2	b	b	PROPN
ap-940	218	3	l	l	NOUN
ap-940	218	4	a	a	X
ap-940	218	5	k	k	X
ap-940	218	6	t	t	PROPN
ap-940	218	7	v	v	PROPN
ap-940	218	8	x	x	SYM
ap-940	218	9	�	�	PROPN
ap-940	218	10	�	�	PROPN
ap-940	218	11	�	�	PROPN
ap-940	218	12	�	�	PROPN
ap-940	218	13	�	�	PROPN
ap-940	218	14	)	)	PUNCT
ap-940	218	15	)	)	PUNCT
ap-940	218	16	)	)	PUNCT
ap-940	218	17	�	�	PROPN
ap-940	218	18	�	�	PROPN
ap-940	218	19	�	�	PROPN
ap-940	218	20	�	�	PROPN
ap-940	218	21	�	�	PROPN
ap-940	218	22	�	�	PROPN
ap-940	218	23	�	�	PROPN
ap-940	218	24	�	�	PROPN
ap-940	218	25	�	�	PROPN
ap-940	218	26	1	1	NUM
ap-940	218	27	1	1	NUM
ap-940	218	28	1	1	NUM
ap-940	218	29	1	1	NUM
ap-940	218	30	1	1	NUM
ap-940	218	31	d	d	NOUN
ap-940	218	32	class	class	NOUN
ap-940	218	33	class	class	NOUN
ap-940	218	34	(	(	PUNCT
ap-940	218	35	)	)	PUNCT
ap-940	218	36	(	(	PUNCT
ap-940	218	37	)	)	PUNCT
ap-940	218	38	0	0	NUM
ap-940	218	39	1	1	NUM
ap-940	218	40	t	t	NOUN
ap-940	218	41	!	!	PUNCT
ap-940	219	1	and	and	CCONJ
ap-940	219	2	similarly	similarly	ADV
ap-940	219	3	for	for	ADP
ap-940	219	4	the	the	DET
ap-940	219	5	boundary	boundary	ADJ
ap-940	219	6	term	term	NOUN
ap-940	219	7	:	:	PUNCT
ap-940	219	8	v	v	NOUN
ap-940	219	9	x	x	SYM
ap-940	219	10	v	v	PROPN
ap-940	219	11	x	x	SYM
ap-940	219	12	t	t	NOUN
ap-940	219	13	v	v	NOUN
ap-940	219	14	x	x	SYM
ap-940	219	15	v	v	NOUN
ap-940	220	1	xd	xd	INTJ
ap-940	220	2	d	d	PROPN
ap-940	220	3	d	d	PROPN
ap-940	220	4	�	�	PROPN
ap-940	220	5	�	�	PROPN
ap-940	220	6	�	�	PROPN
ap-940	220	7	�	�	PROPN
ap-940	220	8	�	�	PROPN
ap-940	220	9	�	�	PROPN
ap-940	220	10	�	�	PROPN
ap-940	220	11	�	�	PROPN
ap-940	220	12	�	�	PROPN
ap-940	220	13	�	�	PROPN
ap-940	220	14	�	�	PROPN
ap-940	220	15	�	�	PROPN
ap-940	220	16	�	�	PROPN
ap-940	220	17	�	�	PROPN
ap-940	220	18	�	�	PROPN
ap-940	220	19	�	�	PROPN
ap-940	220	20	�	�	PROPN
ap-940	220	21	!	!	PROPN
ap-940	220	22	1	1	NUM
ap-940	220	23	2	2	NUM
ap-940	220	24	1	1	NUM
ap-940	220	25	2	2	NUM
ap-940	220	26	2	2	NUM
ap-940	220	27	2	2	NUM
ap-940	220	28	�	�	PROPN
ap-940	220	29	�	�	PROPN
ap-940	220	30	(	(	PUNCT
ap-940	220	31	)	)	PUNCT
ap-940	220	32	(	(	PUNCT
ap-940	220	33	)	)	PUNCT
ap-940	220	34	�	�	PROPN
ap-940	220	35	�	�	PROPN
ap-940	220	36	d	d	PROPN
ap-940	220	37	d	d	NOUN
ap-940	220	38	dt	dt	X
ap-940	220	39	v	v	NOUN
ap-940	220	40	x	x	SYM
ap-940	220	41	v	v	PROPN
ap-940	220	42	x	x	SYM
ap-940	220	43	t	t	PROPN
ap-940	220	44	�	�	PROPN
ap-940	220	45	�	�	PROPN
ap-940	220	46	�	�	PROPN
ap-940	220	47	�	�	PROPN
ap-940	220	48	�	�	PROPN
ap-940	220	49	�	�	PROPN
ap-940	220	50	�	�	PROPN
ap-940	220	51	�	�	PROPN
ap-940	220	52	�	�	PROPN
ap-940	220	53	�	�	PROPN
ap-940	220	54	�	�	PROPN
ap-940	220	55	�	�	PROPN
ap-940	220	56	�	�	PROPN
ap-940	220	57	�	�	PROPN
ap-940	220	58	�	�	PROPN
ap-940	220	59	!	!	PUNCT
ap-940	220	60	�	�	PROPN
ap-940	220	61	�	�	PROPN
ap-940	220	62	�	�	PROPN
ap-940	220	63	�	�	PROPN
ap-940	220	64	�	�	PROPN
ap-940	220	65	�	�	PROPN
ap-940	220	66	�	�	PROPN
ap-940	220	67	1	1	NUM
ap-940	220	68	21	21	NUM
ap-940	220	69	2	2	NUM
ap-940	220	70	�	�	PROPN
ap-940	220	71	(	(	PUNCT
ap-940	220	72	)	)	PUNCT
ap-940	220	73	�	�	PROPN
ap-940	220	74	�	�	PROPN
ap-940	220	75	�	�	PROPN
ap-940	220	76	�	�	PROPN
ap-940	220	77	0	0	NUM
ap-940	220	78	1	1	NUM
ap-940	220	79	21	21	NUM
ap-940	220	80	2	2	NUM
ap-940	220	81	!	!	PUNCT
ap-940	220	82	�	�	PROPN
ap-940	220	83	�	�	PROPN
ap-940	220	84	�	�	PROPN
ap-940	220	85	�	�	PROPN
ap-940	220	86	�	�	PROPN
ap-940	220	87	'	'	PART
ap-940	220	88	�	�	PROPN
ap-940	220	89	lim	lim	PROPN
ap-940	220	90	(	(	PUNCT
ap-940	220	91	(	(	PUNCT
ap-940	220	92	,	,	PUNCT
ap-940	220	93	)	)	PUNCT
ap-940	220	94	(	(	PUNCT
ap-940	220	95	,	,	PUNCT
ap-940	220	96	)	)	PUNCT
ap-940	220	97	(	(	PUNCT
ap-940	220	98	,	,	PUNCT
ap-940	220	99	)	)	PUNCT
ap-940	220	100	(	(	PUNCT
ap-940	220	101	,	,	PUNCT
ap-940	220	102	)	)	PUNCT
ap-940	221	1	(	(	PUNCT
ap-940	221	2	k	k	X
ap-940	221	3	a	a	X
ap-940	221	4	l	l	NOUN
ap-940	221	5	a	a	X
ap-940	221	6	l	l	NOUN
ap-940	221	7	a	a	DET
ap-940	221	8	l	l	NOUN
ap-940	221	9	a	a	DET
ap-940	221	10	l	l	NOUN
ap-940	221	11	av	av	NOUN
ap-940	221	12	x	x	PUNCT
ap-940	221	13	x	x	SYM
ap-940	221	14	v	v	X
ap-940	221	15	x	x	PROPN
ap-940	221	16	�	�	PROPN
ap-940	221	17	,	,	PUNCT
ap-940	221	18	)	)	PUNCT
ap-940	221	19	)	)	PUNCT
ap-940	222	1	(	(	PUNCT
ap-940	222	2	(	(	PUNCT
ap-940	222	3	)	)	PUNCT
ap-940	222	4	)	)	PUNCT
ap-940	222	5	(	(	PUNCT
ap-940	222	6	(	(	PUNCT
ap-940	222	7	l	l	NOUN
ap-940	222	8	a	a	X
ap-940	222	9	k	k	PROPN
ap-940	222	10	v	v	X
ap-940	222	11	x	x	PROPN
ap-940	222	12	�	�	PROPN
ap-940	222	13	�	�	PROPN
ap-940	222	14	�	�	PROPN
ap-940	222	15	�	�	PROPN
ap-940	222	16	�	�	PROPN
ap-940	222	17	�	�	PROPN
ap-940	222	18	�	�	PROPN
ap-940	222	19	�	�	PROPN
ap-940	222	20	�	�	PROPN
ap-940	222	21	�	�	PROPN
ap-940	222	22	�	�	PROPN
ap-940	222	23	�	�	PROPN
ap-940	222	24	)	)	PUNCT
ap-940	222	25	0	0	NUM
ap-940	222	26	1	1	NUM
ap-940	222	27	21	21	NUM
ap-940	222	28	2	2	NUM
ap-940	222	29	d	d	NOUN
ap-940	222	30	class	class	NOUN
ap-940	222	31	class	class	NOUN
ap-940	222	32	�	�	PROPN
ap-940	222	33	)	)	PUNCT
ap-940	222	34	)	)	PUNCT
ap-940	222	35	.	.	PUNCT
ap-940	223	1	�	�	PROPN
ap-940	223	2	�	�	PROPN
ap-940	223	3	�	�	PROPN
ap-940	223	4	�	�	PROPN
ap-940	223	5	!	!	PUNCT
ap-940	224	1	t	t	PROPN
ap-940	224	2	t	t	NOUN
ap-940	224	3	0	0	NUM
ap-940	224	4	1	1	NUM
ap-940	224	5	5.1	5.1	NUM
ap-940	224	6	free	free	ADJ
ap-940	224	7	particle	particle	NOUN
ap-940	224	8	with	with	ADP
ap-940	224	9	damping	damp	VERB
ap-940	224	10	putting	put	VERB
ap-940	224	11	together	together	ADV
ap-940	224	12	all	all	DET
ap-940	224	13	fragments	fragment	NOUN
ap-940	224	14	that	that	PRON
ap-940	224	15	enter	enter	VERB
ap-940	224	16	formula	formula	NOUN
ap-940	224	17	(	(	PUNCT
ap-940	224	18	19	19	NUM
ap-940	224	19	)	)	PUNCT
ap-940	224	20	and	and	CCONJ
ap-940	224	21	taking	take	VERB
ap-940	224	22	into	into	ADP
ap-940	224	23	account	account	NOUN
ap-940	224	24	the	the	DET
ap-940	224	25	required	required	ADJ
ap-940	224	26	normalization	normalization	NOUN
ap-940	224	27	conditions	condition	NOUN
ap-940	224	28	,	,	PUNCT
ap-940	224	29	we	we	PRON
ap-940	224	30	arrive	arrive	VERB
ap-940	224	31	at	at	ADP
ap-940	224	32	the	the	DET
ap-940	224	33	following	following	ADJ
ap-940	224	34	probability	probability	NOUN
ap-940	224	35	amplitude	amplitude	NOUN
ap-940	224	36	:	:	PUNCT
ap-940	224	37	a	a	DET
ap-940	224	38	(	(	PUNCT
ap-940	224	39	,	,	PUNCT
ap-940	224	40	;	;	PUNCT
ap-940	224	41	,	,	PUNCT
ap-940	224	42	)	)	PUNCT
ap-940	224	43	exp	exp	NOUN
ap-940	224	44	(	(	PUNCT
ap-940	224	45	)	)	PUNCT
ap-940	224	46	,	,	PUNCT
ap-940	224	47	q	q	PROPN
ap-940	224	48	t	t	PROPN
ap-940	224	49	q	q	PROPN
ap-940	225	1	t	t	NOUN
ap-940	226	1	i	i	PRON
ap-940	227	1	i	i	PRON
ap-940	227	2	q	q	NOUN
ap-940	228	1	q0	q0	ADJ
ap-940	228	2	0	0	NUM
ap-940	228	3	1	1	NUM
ap-940	228	4	1	1	NUM
ap-940	228	5	1	1	NUM
ap-940	228	6	0	0	NUM
ap-940	228	7	21	21	NUM
ap-940	228	8	2	2	NUM
ap-940	228	9	2	2	NUM
ap-940	228	10	�	�	PROPN
ap-940	228	11	�	�	PROPN
ap-940	228	12	�	�	PROPN
ap-940	228	13	�	�	PROPN
ap-940	228	14	�	�	PROPN
ap-940	228	15	�	�	PROPN
ap-940	228	16	�	�	PROPN
ap-940	228	17	�	�	PROPN
ap-940	228	18	�	�	PROPN
ap-940	228	19	�	�	PROPN
ap-940	228	20	�	�	PROPN
ap-940	228	21	�	�	PROPN
ap-940	228	22	�	�	PROPN
ap-940	228	23	where	where	SCONJ
ap-940	228	24	2	2	NUM
ap-940	228	25	2	2	NUM
ap-940	228	26	1	1	NUM
ap-940	228	27	0	0	NUM
ap-940	228	28	�	�	PROPN
ap-940	228	29	�	�	PROPN
ap-940	228	30	tanh	tanh	PROPN
ap-940	228	31	(	(	PUNCT
ap-940	228	32	)	)	PUNCT
ap-940	228	33	.t	.t	PROPN
ap-940	228	34	t	t	PROPN
ap-940	228	35	�	�	PROPN
ap-940	228	36	�	�	PROPN
ap-940	228	37	�	�	PROPN
ap-940	228	38	�	�	PROPN
ap-940	228	39	�	�	PROPN
ap-940	228	40	(	(	PUNCT
ap-940	228	41	20	20	NUM
ap-940	228	42	)	)	PUNCT
ap-940	228	43	a	a	DET
ap-940	228	44	short	short	ADJ
ap-940	228	45	inspection	inspection	NOUN
ap-940	228	46	of	of	ADP
ap-940	228	47	(	(	PUNCT
ap-940	228	48	20	20	NUM
ap-940	228	49	)	)	PUNCT
ap-940	228	50	discloses	disclose	VERB
ap-940	228	51	that	that	SCONJ
ap-940	228	52	if	if	SCONJ
ap-940	228	53	�	�	PROPN
ap-940	228	54	�	�	PROPN
ap-940	228	55	0	0	PROPN
ap-940	228	56	,	,	PUNCT
ap-940	228	57	then	then	ADV
ap-940	228	58	�	�	PROPN
ap-940	228	59	�	�	PROPN
ap-940	228	60	�	�	PROPN
ap-940	228	61	(	(	PUNCT
ap-940	228	62	)	)	PUNCT
ap-940	228	63	t	t	NOUN
ap-940	228	64	t1	t1	NOUN
ap-940	228	65	0	0	PUNCT
ap-940	228	66	and	and	CCONJ
ap-940	228	67	the	the	DET
ap-940	228	68	above	above	ADJ
ap-940	228	69	amplitude	amplitude	NOUN
ap-940	228	70	a	a	PRON
ap-940	228	71	(	(	PUNCT
ap-940	228	72	,	,	PUNCT
ap-940	228	73	;	;	NOUN
ap-940	228	74	,	,	PUNCT
ap-940	228	75	)	)	PUNCT
ap-940	228	76	q	q	PROPN
ap-940	229	1	t	t	PROPN
ap-940	229	2	q	q	PROPN
ap-940	229	3	t0	t0	PROPN
ap-940	229	4	0	0	NUM
ap-940	229	5	1	1	NUM
ap-940	229	6	1	1	NUM
ap-940	229	7	coincides	coincide	VERB
ap-940	229	8	with	with	ADP
ap-940	229	9	the	the	DET
ap-940	229	10	ordinary	ordinary	ADJ
ap-940	229	11	quantum	quantum	ADJ
ap-940	229	12	propagator	propagator	NOUN
ap-940	229	13	for	for	ADP
ap-940	229	14	a	a	DET
ap-940	229	15	free	free	ADJ
ap-940	229	16	particle	particle	NOUN
ap-940	229	17	.	.	PUNCT
ap-940	230	1	let	let	VERB
ap-940	230	2	us	we	PRON
ap-940	230	3	perform	perform	VERB
ap-940	230	4	an	an	DET
ap-940	230	5	analysis	analysis	NOUN
ap-940	230	6	of	of	ADP
ap-940	230	7	the	the	DET
ap-940	230	8	time	time	NOUN
ap-940	230	9	evolution	evolution	NOUN
ap-940	230	10	in	in	ADP
ap-940	230	11	terms	term	NOUN
ap-940	230	12	of	of	ADP
ap-940	230	13	the	the	DET
ap-940	230	14	transition	transition	NOUN
ap-940	230	15	probability	probability	NOUN
ap-940	230	16	amplitude	amplitude	NOUN
ap-940	230	17	(	(	PUNCT
ap-940	230	18	20	20	NUM
ap-940	230	19	)	)	PUNCT
ap-940	230	20	from	from	ADP
ap-940	230	21	the	the	DET
ap-940	230	22	point	point	NOUN
ap-940	230	23	of	of	ADP
ap-940	230	24	view	view	NOUN
ap-940	230	25	of	of	ADP
ap-940	230	26	quantum	quantum	ADJ
ap-940	230	27	mechanics	mechanic	NOUN
ap-940	230	28	,	,	PUNCT
ap-940	230	29	the	the	DET
ap-940	230	30	best	good	ADJ
ap-940	230	31	fit	fit	NOUN
ap-940	230	32	of	of	ADP
ap-940	230	33	a	a	DET
ap-940	230	34	unit	unit	NOUN
ap-940	230	35	mass	mass	NOUN
ap-940	230	36	particle	particle	NOUN
ap-940	230	37	with	with	ADP
ap-940	230	38	the	the	DET
ap-940	230	39	classical	classical	ADJ
ap-940	230	40	initial	initial	ADJ
ap-940	230	41	condition	condition	NOUN
ap-940	230	42	(	(	PUNCT
ap-940	230	43	q	q	NOUN
ap-940	230	44	v	v	NOUN
ap-940	230	45	v	v	NUM
ap-940	230	46	t0	t0	NOUN
ap-940	230	47	0	0	NUM
ap-940	230	48	0	0	NUM
ap-940	230	49	00	00	NUM
ap-940	230	50	0	0	NUM
ap-940	230	51	�	�	PROPN
ap-940	230	52	�	�	PROPN
ap-940	230	53	�	�	PROPN
ap-940	230	54	,	,	PUNCT
ap-940	230	55	,	,	PUNCT
ap-940	230	56	)	)	PUNCT
ap-940	230	57	is	be	AUX
ap-940	230	58	the	the	DET
ap-940	230	59	gaussian	gaussian	ADJ
ap-940	230	60	wave	wave	NOUN
ap-940	230	61	-	-	PUNCT
ap-940	230	62	packet	packet	NOUN
ap-940	230	63	�	�	NOUN
ap-940	230	64	(	(	PUNCT
ap-940	230	65	)	)	PUNCT
ap-940	230	66	expx	expx	PROPN
ap-940	230	67	x	x	PUNCT
ap-940	230	68	i	i	PRON
ap-940	230	69	x	x	SYM
ap-940	230	70	v	v	ADP
ap-940	230	71	"	"	PUNCT
ap-940	230	72	�	�	PROPN
ap-940	230	73	�	�	PROPN
ap-940	230	74	�	�	PROPN
ap-940	230	75	�	�	PROPN
ap-940	230	76	�	�	PROPN
ap-940	230	77	�	�	PROPN
ap-940	230	78	�	�	PROPN
ap-940	230	79	�	�	PROPN
ap-940	230	80	�	�	PROPN
ap-940	230	81	�	�	PROPN
ap-940	230	82	2	2	NUM
ap-940	230	83	2	2	NUM
ap-940	230	84	0	0	NUM
ap-940	230	85	2	2	NUM
ap-940	230	86	�	�	PROPN
ap-940	230	87	�	�	PROPN
ap-940	230	88	with	with	ADP
ap-940	230	89	some	some	DET
ap-940	230	90	initial	initial	ADJ
ap-940	230	91	width	width	ADJ
ap-940	230	92	�	�	NOUN
ap-940	230	93	.	.	PUNCT
ap-940	231	1	at	at	ADP
ap-940	231	2	a	a	DET
ap-940	231	3	later	later	ADJ
ap-940	231	4	time	time	NOUN
ap-940	231	5	t	t	PROPN
ap-940	231	6	,	,	PUNCT
ap-940	231	7	the	the	DET
ap-940	231	8	system	system	NOUN
ap-940	231	9	under	under	ADP
ap-940	231	10	consideration	consideration	NOUN
ap-940	231	11	will	will	AUX
ap-940	231	12	be	be	AUX
ap-940	231	13	characterized	characterize	VERB
ap-940	231	14	by	by	ADP
ap-940	231	15	the	the	DET
ap-940	231	16	convoluted	convoluted	ADJ
ap-940	231	17	wave	wave	NOUN
ap-940	231	18	-	-	PUNCT
ap-940	231	19	packet	packet	NOUN
ap-940	231	20	distribution	distribution	NOUN
ap-940	231	21	�	�	PROPN
ap-940	231	22	�	�	PROPN
ap-940	231	23	(	(	PUNCT
ap-940	231	24	,	,	PUNCT
ap-940	231	25	)	)	PUNCT
ap-940	231	26	(	(	PUNCT
ap-940	231	27	)	)	PUNCT
ap-940	231	28	(	(	PUNCT
ap-940	231	29	,	,	PUNCT
ap-940	231	30	;	;	PUNCT
ap-940	231	31	,	,	PUNCT
ap-940	231	32	)	)	PUNCT
ap-940	231	33	x	x	X
ap-940	232	1	t	t	NOUN
ap-940	232	2	q	q	X
ap-940	232	3	q	q	X
ap-940	232	4	q	q	X
ap-940	232	5	x	x	SYM
ap-940	232	6	t	t	PROPN
ap-940	232	7	"	"	PUNCT
ap-940	232	8	�	�	PROPN
ap-940	232	9	'	'	PUNCT
ap-940	232	10	'	'	PUNCT
ap-940	232	11	!	!	PUNCT
ap-940	233	1	d	d	X
ap-940	233	2	a	a	DET
ap-940	233	3	0	0	NUM
ap-940	233	4	.	.	PUNCT
ap-940	234	1	it	it	PRON
ap-940	234	2	preserves	preserve	VERB
ap-940	234	3	its	its	PRON
ap-940	234	4	gaussian	gaussian	ADJ
ap-940	234	5	shape	shape	NOUN
ap-940	234	6	,	,	PUNCT
ap-940	234	7	and	and	CCONJ
ap-940	234	8	its	its	PRON
ap-940	234	9	main	main	ADJ
ap-940	234	10	characteristics	characteristic	NOUN
ap-940	234	11	,	,	PUNCT
ap-940	234	12	the	the	DET
ap-940	234	13	mean	mean	ADJ
ap-940	234	14	value	value	NOUN
ap-940	234	15	of	of	ADP
ap-940	234	16	the	the	DET
ap-940	234	17	position	position	NOUN
ap-940	234	18	x	x	PUNCT
ap-940	234	19	and	and	CCONJ
ap-940	234	20	the	the	DET
ap-940	234	21	actual	actual	ADJ
ap-940	234	22	width	width	NOUN
ap-940	234	23	of	of	ADP
ap-940	234	24	the	the	DET
ap-940	234	25	wave	wave	NOUN
ap-940	234	26	-	-	PUNCT
ap-940	234	27	packet	packet	NOUN
ap-940	234	28	�	�	NOUN
ap-940	234	29	2	2	NUM
ap-940	234	30	,	,	PUNCT
ap-940	234	31	vary	vary	VERB
ap-940	234	32	with	with	ADP
ap-940	234	33	time	time	NOUN
ap-940	234	34	according	accord	VERB
ap-940	234	35	to	to	ADP
ap-940	234	36	x	x	PROPN
ap-940	234	37	v	v	PROPN
ap-940	234	38	�	�	PROPN
ap-940	234	39	0	0	NUM
ap-940	234	40	�	�	PROPN
ap-940	234	41	and	and	CCONJ
ap-940	234	42	�	�	PROPN
ap-940	234	43	2	2	NUM
ap-940	234	44	2	2	NUM
ap-940	234	45	2	2	NUM
ap-940	234	46	2	2	NUM
ap-940	234	47	2	2	NUM
ap-940	234	48	�	�	PROPN
ap-940	234	49	�	�	PROPN
ap-940	234	50	�	�	PROPN
ap-940	234	51	�	�	PROPN
ap-940	234	52	�	�	PROPN
ap-940	234	53	�	�	PROPN
ap-940	234	54	.	.	PUNCT
ap-940	235	1	the	the	DET
ap-940	235	2	velocity	velocity	NOUN
ap-940	235	3	of	of	ADP
ap-940	235	4	the	the	DET
ap-940	235	5	center	center	NOUN
ap-940	235	6	of	of	ADP
ap-940	235	7	the	the	DET
ap-940	235	8	wave	wave	NOUN
ap-940	235	9	-	-	PUNCT
ap-940	235	10	packet	packet	NOUN
ap-940	235	11	d	d	NOUN
ap-940	235	12	d	d	X
ap-940	235	13	e	e	X
ap-940	235	14	e	e	X
ap-940	235	15	e	e	PROPN
ap-940	235	16	t	t	PROPN
ap-940	235	17	x	x	PROPN
ap-940	235	18	v	v	NOUN
ap-940	235	19	v	v	ADP
ap-940	235	20	t	t	PROPN
ap-940	235	21	t	t	PROPN
ap-940	235	22	t	t	PROPN
ap-940	235	23	�	�	PROPN
ap-940	235	24	�	�	PROPN
ap-940	235	25	"	"	PUNCT
ap-940	235	26	�	�	PROPN
ap-940	235	27	�	�	PROPN
ap-940	235	28	�	�	PROPN
ap-940	235	29	4	4	NUM
ap-940	235	30	1	1	NUM
ap-940	235	31	0	0	NUM
ap-940	235	32	2	2	NUM
ap-940	235	33	0	0	NUM
ap-940	235	34	�	�	PROPN
ap-940	235	35	�	�	PROPN
ap-940	235	36	�	�	PROPN
ap-940	235	37	(	(	PUNCT
ap-940	235	38	)	)	PUNCT
ap-940	235	39	,	,	PUNCT
ap-940	235	40	i.e.	i.e.	X
ap-940	235	41	it	it	PRON
ap-940	235	42	decreases	decrease	VERB
ap-940	235	43	for	for	ADP
ap-940	235	44	t	t	PROPN
ap-940	235	45	�	�	PROPN
ap-940	235	46	1	1	NUM
ap-940	235	47	exponentially	exponentially	ADV
ap-940	235	48	,	,	PUNCT
ap-940	235	49	as	as	SCONJ
ap-940	235	50	one	one	PRON
ap-940	235	51	would	would	AUX
ap-940	235	52	predict	predict	VERB
ap-940	235	53	on	on	ADP
ap-940	235	54	classical	classical	ADJ
ap-940	235	55	intuition	intuition	NOUN
ap-940	235	56	.	.	PUNCT
ap-940	236	1	5.2	5.2	NUM
ap-940	236	2	damped	damp	VERB
ap-940	236	3	harmonic	harmonic	ADJ
ap-940	236	4	oscillator	oscillator	NOUN
ap-940	236	5	the	the	DET
ap-940	236	6	probability	probability	NOUN
ap-940	236	7	amplitude	amplitude	NOUN
ap-940	236	8	for	for	ADP
ap-940	236	9	a	a	DET
ap-940	236	10	damped	damp	VERB
ap-940	236	11	harmonic	harmonic	ADJ
ap-940	236	12	oscillator	oscillator	NOUN
ap-940	236	13	with	with	ADP
ap-940	236	14	unit	unit	NOUN
ap-940	236	15	mass	mass	PROPN
ap-940	236	16	requires	require	VERB
ap-940	236	17	a	a	DET
ap-940	236	18	solution	solution	NOUN
ap-940	236	19	of	of	ADP
ap-940	236	20	newton	newton	PROPN
ap-940	236	21	’s	’s	PART
ap-940	236	22	equation	equation	PROPN
ap-940	236	23	�	�	PROPN
ap-940	236	24	�	�	PROPN
ap-940	236	25	�	�	PROPN
ap-940	236	26	x	x	SYM
ap-940	236	27	x	x	SYM
ap-940	236	28	x	x	SYM
ap-940	236	29	�	�	PROPN
ap-940	236	30	�	�	PROPN
ap-940	236	31	�	�	PROPN
ap-940	236	32	�	�	PROPN
ap-940	236	33	�	�	PROPN
ap-940	236	34	2	2	NUM
ap-940	236	35	:	:	PUNCT
ap-940	236	36	�	�	PROPN
ap-940	236	37	�	�	PROPN
ap-940	236	38	x	x	PROPN
ap-940	236	39	a	a	DET
ap-940	236	40	bi	bi	NOUN
ap-940	236	41	i	i	NOUN
ap-940	236	42	class	class	NOUN
ap-940	236	43	e	e	X
ap-940	236	44	e	e	X
ap-940	236	45	e	e	X
ap-940	236	46	(	(	PUNCT
ap-940	236	47	)	)	PUNCT
ap-940	236	48	�	�	PROPN
ap-940	236	49	�	�	PROPN
ap-940	236	50	�	�	PROPN
ap-940	236	51	�	�	PROPN
ap-940	236	52	�	�	PROPN
ap-940	236	53	2	2	NUM
ap-940	236	54	�	�	PROPN
ap-940	236	55	�	�	PROPN
ap-940	236	56	,	,	PUNCT
ap-940	236	57	where	where	SCONJ
ap-940	236	58	the	the	DET
ap-940	236	59	new	new	ADJ
ap-940	236	60	frequency	frequency	NOUN
ap-940	236	61	�	�	PROPN
ap-940	236	62	�	�	PROPN
ap-940	236	63	�	�	PROPN
ap-940	236	64	�	�	PROPN
ap-940	236	65	�	�	PROPN
ap-940	236	66	2	2	NUM
ap-940	236	67	2	2	NUM
ap-940	236	68	4	4	NUM
ap-940	236	69	.	.	PUNCT
ap-940	237	1	when	when	SCONJ
ap-940	237	2	substituting	substitute	VERB
ap-940	237	3	the	the	DET
ap-940	237	4	general	general	PROPN
ap-940	237	5	�	�	PROPN
ap-940	237	6	(	(	PUNCT
ap-940	237	7	x	x	NOUN
ap-940	237	8	)	)	PUNCT
ap-940	237	9	in	in	ADP
ap-940	237	10	(	(	PUNCT
ap-940	237	11	19	19	NUM
ap-940	237	12	)	)	PUNCT
ap-940	237	13	by	by	ADP
ap-940	237	14	the	the	DET
ap-940	237	15	oscillator	oscillator	NOUN
ap-940	237	16	potential	potential	NOUN
ap-940	237	17	1	1	NUM
ap-940	237	18	2	2	NUM
ap-940	237	19	2	2	NUM
ap-940	237	20	2w	2w	NUM
ap-940	237	21	x	x	PUNCT
ap-940	237	22	and	and	CCONJ
ap-940	237	23	doing	do	VERB
ap-940	237	24	simple	simple	ADJ
ap-940	237	25	algebraic	algebraic	ADJ
ap-940	237	26	manipulations	manipulation	NOUN
ap-940	237	27	,	,	PUNCT
ap-940	237	28	we	we	PRON
ap-940	237	29	arrive	arrive	VERB
ap-940	237	30	at	at	ADP
ap-940	237	31	:	:	PUNCT
ap-940	237	32	66	66	NUM
ap-940	237	33	©	©	PROPN
ap-940	237	34	czech	czech	PROPN
ap-940	237	35	technical	technical	PROPN
ap-940	237	36	university	university	PROPN
ap-940	237	37	publishing	publishing	NOUN
ap-940	237	38	house	house	NOUN
ap-940	237	39	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	237	40	acta	acta	PROPN
ap-940	237	41	polytechnica	polytechnica	PROPN
ap-940	237	42	vol	vol	NOUN
ap-940	237	43	.	.	PUNCT
ap-940	238	1	47	47	NUM
ap-940	238	2	no	no	NOUN
ap-940	238	3	.	.	PUNCT
ap-940	239	1	2–3/2007	2–3/2007	NUM
ap-940	239	2	putting	put	VERB
ap-940	239	3	everything	everything	PRON
ap-940	239	4	together	together	ADV
ap-940	239	5	,	,	PUNCT
ap-940	239	6	integrating	integrate	VERB
ap-940	239	7	over	over	ADP
ap-940	239	8	all	all	DET
ap-940	239	9	variables	variable	NOUN
ap-940	239	10	apart	apart	ADV
ap-940	239	11	subensemble	subensemble	PROPN
ap-940	239	12	�	�	PROPN
ap-940	239	13	�	�	PROPN
ap-940	239	14	x	x	PROPN
ap-940	239	15	a	a	DET
ap-940	239	16	l	l	NOUN
ap-940	239	17	(	(	PUNCT
ap-940	239	18	,	,	PUNCT
ap-940	239	19	)	)	PUNCT
ap-940	239	20	and	and	CCONJ
ap-940	239	21	returning	return	VERB
ap-940	239	22	back	back	ADV
ap-940	239	23	to	to	ADP
ap-940	239	24	the	the	DET
ap-940	239	25	continuum	continuum	ADJ
ap-940	239	26	limit	limit	NOUN
ap-940	239	27	,	,	PUNCT
ap-940	239	28	we	we	PRON
ap-940	239	29	get	get	VERB
ap-940	239	30	the	the	DET
ap-940	239	31	following	follow	VERB
ap-940	239	32	expression	expression	NOUN
ap-940	239	33	for	for	ADP
ap-940	239	34	the	the	DET
ap-940	239	35	transition	transition	NOUN
ap-940	239	36	amplitude	amplitude	NOUN
ap-940	239	37	:	:	PUNCT
ap-940	239	38	�	�	PROPN
ap-940	239	39	�	�	PROPN
ap-940	239	40	a	a	PROPN
ap-940	239	41	(	(	PUNCT
ap-940	239	42	,	,	PUNCT
ap-940	239	43	;	;	PUNCT
ap-940	239	44	,	,	PUNCT
ap-940	239	45	)	)	PUNCT
ap-940	239	46	expq	expq	PROPN
ap-940	239	47	t	t	PROPN
ap-940	239	48	q	q	PROPN
ap-940	239	49	t	t	PROPN
ap-940	240	1	i	i	PRON
ap-940	240	2	v	v	VERB
ap-940	240	3	x	x	X
ap-940	240	4	t	t	NOUN
ap-940	240	5	t	t	NOUN
ap-940	240	6	0	0	NUM
ap-940	240	7	0	0	NUM
ap-940	240	8	1	1	NUM
ap-940	240	9	1	1	NUM
ap-940	240	10	0	0	NUM
ap-940	240	11	1	1	NUM
ap-940	240	12	"	"	PUNCT
ap-940	240	13	�	�	PROPN
ap-940	240	14	�	�	PROPN
ap-940	240	15	�	�	PROPN
ap-940	240	16	�	�	PROPN
ap-940	240	17	�	�	PROPN
ap-940	240	18	�	�	PROPN
ap-940	240	19	�	�	PROPN
ap-940	240	20	�	�	PROPN
ap-940	240	21	!	!	PUNCT
ap-940	240	22	�	�	PROPN
ap-940	241	1	d	d	NOUN
ap-940	241	2	class	class	NOUN
ap-940	241	3	class	class	NOUN
ap-940	241	4	�	�	PROPN
ap-940	241	5	[	[	PUNCT
ap-940	241	6	(	(	PUNCT
ap-940	241	7	)	)	PUNCT
ap-940	241	8	]	]	X
ap-940	241	9	exp	exp	NOUN
ap-940	241	10	�	�	PROPN
ap-940	241	11	(	(	PUNCT
ap-940	241	12	)	)	PUNCT
ap-940	241	13	�	�	PROPN
ap-940	241	14	x	x	SYM
ap-940	241	15	i	i	NOUN
ap-940	241	16	x	x	X
ap-940	241	17	x	x	PUNCT
ap-940	241	18	x	x	SYM
ap-940	241	19	v	v	ADP
ap-940	241	20	t	t	PROPN
ap-940	241	21	t	t	PROPN
ap-940	241	22	�	�	PROPN
ap-940	241	23	�	�	PROPN
ap-940	241	24	d	d	PROPN
ap-940	241	25	class	class	NOUN
ap-940	241	26	1	1	NUM
ap-940	241	27	2	2	NUM
ap-940	241	28	2	2	NUM
ap-940	241	29	0	0	NUM
ap-940	241	30	1	1	NUM
ap-940	241	31	�	�	PROPN
ap-940	241	32	�	�	PROPN
ap-940	241	33	�	�	PROPN
ap-940	241	34	�	�	PROPN
ap-940	241	35	�	�	PROPN
ap-940	241	36	�	�	PROPN
ap-940	241	37	�	�	PROPN
ap-940	241	38	�	�	PROPN
ap-940	241	39	�	�	PROPN
ap-940	241	40	�	�	PROPN
ap-940	241	41	!	!	PUNCT
ap-940	241	42	�	�	PROPN
ap-940	241	43	�	�	PROPN
ap-940	241	44	�	�	PROPN
ap-940	241	45	�	�	PROPN
ap-940	241	46	�	�	PROPN
ap-940	241	47	!	!	PUNCT
ap-940	241	48	.	.	PUNCT
ap-940	242	1	(	(	PUNCT
ap-940	242	2	19	19	NUM
ap-940	242	3	)	)	PUNCT
ap-940	242	4	the	the	DET
ap-940	242	5	phase	phase	NOUN
ap-940	242	6	factor	factor	NOUN
ap-940	242	7	in	in	ADP
ap-940	242	8	front	front	NOUN
ap-940	242	9	of	of	ADP
ap-940	242	10	(	(	PUNCT
ap-940	242	11	19	19	NUM
ap-940	242	12	)	)	PUNCT
ap-940	242	13	comes	come	VERB
ap-940	242	14	from	from	ADP
ap-940	242	15	the	the	DET
ap-940	242	16	definition	definition	NOUN
ap-940	242	17	of	of	ADP
ap-940	242	18	the	the	DET
ap-940	242	19	classical	classical	ADJ
ap-940	242	20	action	action	NOUN
ap-940	242	21	sclass	sclass	NOUN
ap-940	242	22	�	�	PROPN
ap-940	242	23	and	and	CCONJ
ap-940	242	24	from	from	ADP
ap-940	242	25	the	the	DET
ap-940	242	26	world	world	NOUN
ap-940	242	27	-	-	PUNCT
ap-940	242	28	sheet	sheet	NOUN
ap-940	242	29	functional	functional	ADJ
ap-940	242	30	integration	integration	NOUN
ap-940	242	31	.	.	PUNCT
ap-940	243	1	the	the	DET
ap-940	243	2	second	second	ADJ
ap-940	243	3	term	term	NOUN
ap-940	243	4	is	be	AUX
ap-940	243	5	the	the	DET
ap-940	243	6	standard	standard	ADJ
ap-940	243	7	feynman	feynman	PROPN
ap-940	243	8	path	path	PROPN
ap-940	243	9	integral	integral	ADJ
ap-940	243	10	,	,	PUNCT
ap-940	243	11	which	which	PRON
ap-940	243	12	is	be	AUX
ap-940	243	13	taken	take	VERB
ap-940	243	14	over	over	ADP
ap-940	243	15	the	the	DET
ap-940	243	16	histories	history	NOUN
ap-940	243	17	{	{	PUNCT
ap-940	243	18	(	(	PUNCT
ap-940	243	19	(	(	PUNCT
ap-940	243	20	):	):	PUNCT
ap-940	243	21	(	(	PUNCT
ap-940	243	22	,	,	PUNCT
ap-940	243	23	)	)	PUNCT
ap-940	243	24	,	,	PUNCT
ap-940	243	25	)	)	PUNCT
ap-940	243	26	}	}	PUNCT
ap-940	243	27	�	�	PROPN
ap-940	243	28	x	x	PUNCT
ap-940	243	29	x	x	SYM
ap-940	243	30	t	t	PROPN
ap-940	243	31	�	�	PROPN
ap-940	243	32	�	�	PROPN
ap-940	243	33	�	�	PROPN
ap-940	243	34	1	1	NUM
ap-940	243	35	in	in	ADP
ap-940	243	36	the	the	DET
ap-940	243	37	extended	extended	ADJ
ap-940	243	38	configuration	configuration	NOUN
ap-940	243	39	space	space	NOUN
ap-940	243	40	�	�	PROPN
ap-940	243	41	[	[	X
ap-940	243	42	x]×	x]×	NOUN
ap-940	243	43	�	�	PROPN
ap-940	243	44	[t	[t	X
ap-940	243	45	]	]	X
ap-940	243	46	.	.	PUNCT
ap-940	244	1	however	however	ADV
ap-940	244	2	,	,	PUNCT
ap-940	244	3	in	in	ADP
ap-940	244	4	comparison	comparison	NOUN
ap-940	244	5	with	with	ADP
ap-940	244	6	the	the	DET
ap-940	244	7	standard	standard	ADJ
ap-940	244	8	formula	formula	NOUN
ap-940	244	9	,	,	PUNCT
ap-940	244	10	a	a	DET
ap-940	244	11	new	new	ADJ
ap-940	244	12	term	term	NOUN
ap-940	244	13	appears	appear	VERB
ap-940	244	14	here	here	ADV
ap-940	244	15	.	.	PUNCT
ap-940	245	1	it	it	PRON
ap-940	245	2	is	be	AUX
ap-940	245	3	an	an	DET
ap-940	245	4	external	external	ADJ
ap-940	245	5	source	source	NOUN
ap-940	245	6	generated	generate	VERB
ap-940	245	7	by	by	ADP
ap-940	245	8	the	the	DET
ap-940	245	9	classical	classical	ADJ
ap-940	245	10	velocity	velocity	NOUN
ap-940	245	11	vclass	vclass	NOUN
ap-940	245	12	.	.	PUNCT
ap-940	246	1	let	let	VERB
ap-940	246	2	us	we	PRON
ap-940	246	3	remind	remind	VERB
ap-940	246	4	the	the	DET
ap-940	246	5	reader	reader	NOUN
ap-940	246	6	how	how	SCONJ
ap-940	246	7	to	to	PART
ap-940	246	8	treat	treat	VERB
ap-940	246	9	ugly	ugly	ADV
ap-940	246	10	infinite	infinite	ADJ
ap-940	246	11	constants	constant	NOUN
ap-940	246	12	emerging	emerge	VERB
ap-940	246	13	in	in	ADP
ap-940	246	14	the	the	DET
ap-940	246	15	functional	functional	ADJ
ap-940	246	16	integration	integration	NOUN
ap-940	246	17	.	.	PUNCT
ap-940	247	1	if	if	SCONJ
ap-940	247	2	the	the	DET
ap-940	247	3	entering	enter	VERB
ap-940	247	4	infinities	infinity	NOUN
ap-940	247	5	are	be	AUX
ap-940	247	6	functionally	functionally	ADV
ap-940	247	7	independent	independent	ADJ
ap-940	247	8	of	of	ADP
ap-940	247	9	the	the	DET
ap-940	247	10	coordinates	coordinate	NOUN
ap-940	247	11	of	of	ADP
ap-940	247	12	space	space	NOUN
ap-940	247	13	-	-	PUNCT
ap-940	247	14	time	time	NOUN
ap-940	247	15	events	event	NOUN
ap-940	247	16	,	,	PUNCT
ap-940	247	17	then	then	ADV
ap-940	247	18	one	one	PRON
ap-940	247	19	can	can	AUX
ap-940	247	20	easily	easily	ADV
ap-940	247	21	neglect	neglect	VERB
ap-940	247	22	them	they	PRON
ap-940	247	23	.	.	PUNCT
ap-940	248	1	the	the	DET
ap-940	248	2	only	only	ADJ
ap-940	248	3	important	important	ADJ
ap-940	248	4	term	term	NOUN
ap-940	248	5	inside	inside	ADP
ap-940	248	6	the	the	DET
ap-940	248	7	functional	functional	ADJ
ap-940	248	8	integral	integral	NOUN
ap-940	248	9	is	be	AUX
ap-940	248	10	the	the	DET
ap-940	248	11	phase	phase	NOUN
ap-940	248	12	factor	factor	NOUN
ap-940	248	13	,	,	PUNCT
ap-940	248	14	which	which	PRON
ap-940	248	15	depends	depend	VERB
ap-940	248	16	on	on	ADP
ap-940	248	17	the	the	DET
ap-940	248	18	coordinates	coordinate	NOUN
ap-940	248	19	of	of	ADP
ap-940	248	20	(	(	PUNCT
ap-940	248	21	,	,	PUNCT
ap-940	248	22	)	)	PUNCT
ap-940	248	23	q	q	PROPN
ap-940	248	24	t0	t0	NOUN
ap-940	248	25	0	0	PUNCT
ap-940	249	1	and	and	CCONJ
ap-940	249	2	(	(	PUNCT
ap-940	249	3	,	,	PUNCT
ap-940	249	4	)	)	PUNCT
ap-940	249	5	q	q	PROPN
ap-940	250	1	t1	t1	NOUN
ap-940	250	2	1	1	NUM
ap-940	250	3	,	,	PUNCT
ap-940	250	4	i.e.	i.e.	X
ap-940	250	5	we	we	PRON
ap-940	250	6	need	need	VERB
ap-940	250	7	to	to	PART
ap-940	250	8	seize	seize	VERB
ap-940	250	9	the	the	DET
ap-940	250	10	following	follow	VERB
ap-940	250	11	quantity	quantity	NOUN
ap-940	250	12	:	:	PUNCT
ap-940	250	13	a	a	PRON
ap-940	250	14	(	(	PUNCT
ap-940	250	15	,	,	PUNCT
ap-940	250	16	;	;	PUNCT
ap-940	250	17	,	,	PUNCT
ap-940	250	18	)	)	PUNCT
ap-940	250	19	exp	exp	NOUN
ap-940	250	20	(	(	PUNCT
ap-940	250	21	,	,	PUNCT
ap-940	250	22	;	;	PUNCT
ap-940	250	23	,	,	PUNCT
ap-940	250	24	)	)	PUNCT
ap-940	250	25	q	q	PROPN
ap-940	251	1	t	t	PROPN
ap-940	251	2	q	q	PROPN
ap-940	252	1	t	t	PROPN
ap-940	253	1	i	i	PRON
ap-940	253	2	q	q	PROPN
ap-940	253	3	t	t	PROPN
ap-940	253	4	q	q	PROPN
ap-940	253	5	t0	t0	PROPN
ap-940	253	6	0	0	NUM
ap-940	253	7	1	1	NUM
ap-940	253	8	1	1	NUM
ap-940	253	9	0	0	NUM
ap-940	253	10	0	0	NUM
ap-940	253	11	1	1	NUM
ap-940	253	12	1	1	NUM
ap-940	253	13	"	"	PUNCT
ap-940	253	14	�	�	PROPN
ap-940	253	15	�	�	PROPN
ap-940	253	16	�	�	PROPN
ap-940	253	17	�	�	PROPN
ap-940	253	18	�	�	PROPN
ap-940	253	19	phase	phase	NOUN
ap-940	253	20	,	,	PUNCT
ap-940	253	21	anything	anything	PRON
ap-940	253	22	else	else	ADV
ap-940	253	23	is	be	AUX
ap-940	253	24	just	just	ADV
ap-940	253	25	an	an	DET
ap-940	253	26	inherited	inherit	VERB
ap-940	253	27	rudiment	rudiment	NOUN
ap-940	253	28	.	.	PUNCT
ap-940	254	1	the	the	DET
ap-940	254	2	proper	proper	ADJ
ap-940	254	3	normalization	normalization	NOUN
ap-940	254	4	of	of	ADP
ap-940	254	5	the	the	DET
ap-940	254	6	amplitude	amplitude	NOUN
ap-940	254	7	a	a	PRON
ap-940	254	8	(	(	PUNCT
ap-940	254	9	,	,	PUNCT
ap-940	254	10	;	;	PUNCT
ap-940	254	11	,	,	PUNCT
ap-940	254	12	)	)	PUNCT
ap-940	254	13	q	q	PROPN
ap-940	254	14	t	t	PROPN
ap-940	254	15	q	q	PROPN
ap-940	254	16	t0	t0	PROPN
ap-940	254	17	0	0	NUM
ap-940	254	18	1	1	NUM
ap-940	254	19	1	1	NUM
ap-940	254	20	is	be	AUX
ap-940	254	21	dictated	dictate	VERB
ap-940	254	22	by	by	ADP
ap-940	254	23	its	its	PRON
ap-940	254	24	physical	physical	ADJ
ap-940	254	25	meaning	meaning	NOUN
ap-940	254	26	.	.	PUNCT
ap-940	255	1	the	the	DET
ap-940	255	2	square	square	NOUN
ap-940	255	3	of	of	ADP
ap-940	255	4	its	its	PRON
ap-940	255	5	absolute	absolute	ADJ
ap-940	255	6	value	value	NOUN
ap-940	255	7	answers	answer	VERB
ap-940	255	8	the	the	DET
ap-940	255	9	question	question	NOUN
ap-940	255	10	about	about	ADP
ap-940	255	11	the	the	DET
ap-940	255	12	probability	probability	NOUN
ap-940	255	13	density	density	NOUN
ap-940	255	14	of	of	ADP
ap-940	255	15	observing	observe	VERB
ap-940	255	16	a	a	DET
ap-940	255	17	particle	particle	NOUN
ap-940	255	18	in	in	ADP
ap-940	255	19	a	a	DET
ap-940	255	20	sufficiently	sufficiently	ADV
ap-940	255	21	small	small	ADJ
ap-940	255	22	neighborhood	neighborhood	NOUN
ap-940	255	23	of	of	ADP
ap-940	255	24	the	the	DET
ap-940	255	25	configuration	configuration	NOUN
ap-940	255	26	(	(	PUNCT
ap-940	255	27	,	,	PUNCT
ap-940	255	28	)	)	PUNCT
ap-940	255	29	q	q	PROPN
ap-940	256	1	t1	t1	NOUN
ap-940	256	2	1	1	NUM
ap-940	256	3	,	,	PUNCT
ap-940	256	4	when	when	SCONJ
ap-940	256	5	before	before	SCONJ
ap-940	256	6	it	it	PRON
ap-940	256	7	was	be	AUX
ap-940	256	8	observed	observe	VERB
ap-940	256	9	in	in	ADP
ap-940	256	10	a	a	DET
ap-940	256	11	neighborhood	neighborhood	NOUN
ap-940	256	12	of	of	ADP
ap-940	256	13	the	the	DET
ap-940	256	14	space	space	NOUN
ap-940	256	15	-	-	PUNCT
ap-940	256	16	time	time	NOUN
ap-940	256	17	position	position	NOUN
ap-940	256	18	(	(	PUNCT
ap-940	256	19	,	,	PUNCT
ap-940	256	20	)	)	PUNCT
ap-940	256	21	q	q	PROPN
ap-940	256	22	t0	t0	PROPN
ap-940	256	23	0	0	PUNCT
ap-940	256	24	.	.	PUNCT
ap-940	257	1	this	this	PRON
ap-940	257	2	implies	imply	VERB
ap-940	257	3	the	the	DET
ap-940	257	4	desired	desire	VERB
ap-940	257	5	normalization	normalization	NOUN
ap-940	257	6	conditions	condition	NOUN
ap-940	257	7	(	(	PUNCT
ap-940	257	8	since	since	SCONJ
ap-940	257	9	we	we	PRON
ap-940	257	10	are	be	AUX
ap-940	257	11	dealing	deal	VERB
ap-940	257	12	with	with	ADP
ap-940	257	13	the	the	DET
ap-940	257	14	space	space	NOUN
ap-940	257	15	-	-	PUNCT
ap-940	257	16	time	time	NOUN
ap-940	257	17	continuum	continuum	ADJ
ap-940	257	18	,	,	PUNCT
ap-940	257	19	the	the	DET
ap-940	257	20	normalization	normalization	NOUN
ap-940	257	21	to	to	ADP
ap-940	257	22	a	a	DET
ap-940	257	23	�	�	NOUN
ap-940	257	24	-function	-function	NOUN
ap-940	257	25	should	should	AUX
ap-940	257	26	be	be	AUX
ap-940	257	27	employed	employ	VERB
ap-940	257	28	):	):	PUNCT
ap-940	258	1	�	�	PROPN
ap-940	258	2	�	�	PROPN
ap-940	258	3	t	t	PROPN
ap-940	258	4	t	t	PROPN
ap-940	258	5	q	q	PROPN
ap-940	258	6	t	t	PROPN
ap-940	258	7	q	q	PROPN
ap-940	258	8	t	t	PROPN
ap-940	258	9	q	q	PROPN
ap-940	258	10	q	q	PROPN
ap-940	258	11	t1	t1	NOUN
ap-940	258	12	0	0	NUM
ap-940	258	13	0	0	NUM
ap-940	258	14	0	0	NUM
ap-940	258	15	1	1	NUM
ap-940	258	16	1	1	NUM
ap-940	258	17	1	1	NUM
ap-940	258	18	0	0	NUM
ap-940	258	19	0	0	NUM
ap-940	258	20	�	�	PROPN
ap-940	258	21	*	*	SYM
ap-940	258	22	�	�	PROPN
ap-940	258	23	�	�	PROPN
ap-940	258	24	�	�	PROPN
ap-940	258	25	a	a	PROPN
ap-940	258	26	(	(	PUNCT
ap-940	258	27	,	,	PUNCT
ap-940	258	28	;	;	PUNCT
ap-940	258	29	,	,	PUNCT
ap-940	258	30	)	)	PUNCT
ap-940	258	31	(	(	PUNCT
ap-940	258	32	)	)	PUNCT
ap-940	258	33	�	�	PROPN
ap-940	258	34	at	at	ADP
ap-940	258	35	time	time	NOUN
ap-940	258	36	the	the	DET
ap-940	258	37	system	system	NOUN
ap-940	258	38	occ	occ	PROPN
ap-940	258	39	�	�	PROPN
ap-940	258	40	�	�	PROPN
ap-940	258	41	upies	upies	PROPN
ap-940	258	42	definite	definite	ADJ
ap-940	258	43	position	position	NOUN
ap-940	258	44	d	d	X
ap-940	258	45	q	q	X
ap-940	258	46	q	q	X
ap-940	258	47	q	q	X
ap-940	258	48	t	t	PROPN
ap-940	258	49	q	q	PROPN
ap-940	258	50	t	t	PROPN
ap-940	258	51	q	q	PROPN
ap-940	258	52	t	t	PROPN
ap-940	258	53	0	0	NUM
ap-940	258	54	1	1	NUM
ap-940	258	55	0	0	NUM
ap-940	258	56	0	0	NUM
ap-940	258	57	1	1	NUM
ap-940	258	58	1	1	NUM
ap-940	258	59	0	0	NUM
ap-940	258	60	0a	0a	PROPN
ap-940	258	61	a	a	PRON
ap-940	258	62	*	*	X
ap-940	258	63	(	(	PUNCT
ap-940	258	64	,	,	PUNCT
ap-940	258	65	;	;	PUNCT
ap-940	258	66	,	,	PUNCT
ap-940	258	67	)	)	PUNCT
ap-940	258	68	(	(	PUNCT
ap-940	258	69	,	,	PUNCT
ap-940	258	70	;	;	PUNCT
ap-940	258	71	�	�	PROPN
ap-940	258	72	q	q	PROPN
ap-940	258	73	t	t	PROPN
ap-940	258	74	q	q	PROPN
ap-940	258	75	q1	q1	PROPN
ap-940	258	76	1	1	NUM
ap-940	258	77	0	0	NUM
ap-940	258	78	0	0	NUM
ap-940	258	79	,	,	PUNCT
ap-940	258	80	)	)	PUNCT
ap-940	258	81	(	(	PUNCT
ap-940	258	82	)	)	PUNCT
ap-940	258	83	�	�	PROPN
ap-940	258	84	'	'	PUNCT
ap-940	258	85	'	'	PUNCT
ap-940	258	86	!	!	PUNCT
ap-940	259	1	�	�	PROPN
ap-940	259	2	�	�	PROPN
ap-940	259	3	�	�	PROPN
ap-940	259	4	�	�	PROPN
ap-940	259	5	�	�	PROPN
ap-940	259	6	conservation	conservation	NOUN
ap-940	259	7	of	of	ADP
ap-940	259	8	the	the	DET
ap-940	259	9	total	total	ADJ
ap-940	259	10	probabi	probabi	NOUN
ap-940	259	11	�	�	PROPN
ap-940	259	12	�	�	PROPN
ap-940	259	13	lity	lity	NOUN
ap-940	259	14	having	have	VERB
ap-940	259	15	everything	everything	PRON
ap-940	259	16	at	at	ADP
ap-940	259	17	hand	hand	NOUN
ap-940	259	18	,	,	PUNCT
ap-940	259	19	let	let	VERB
ap-940	259	20	us	we	PRON
ap-940	259	21	compute	compute	VERB
ap-940	259	22	the	the	DET
ap-940	259	23	normalized	normalize	VERB
ap-940	259	24	probability	probability	NOUN
ap-940	259	25	amplitude	amplitude	NOUN
ap-940	259	26	with	with	ADP
ap-940	259	27	the	the	DET
ap-940	259	28	presence	presence	NOUN
ap-940	259	29	of	of	ADP
ap-940	259	30	friction	friction	NOUN
ap-940	259	31	in	in	ADP
ap-940	259	32	the	the	DET
ap-940	259	33	cases	case	NOUN
ap-940	259	34	when	when	SCONJ
ap-940	259	35	�	�	PROPN
ap-940	259	36	(	(	PUNCT
ap-940	259	37	)	)	PUNCT
ap-940	259	38	x	x	SYM
ap-940	259	39	�	�	PROPN
ap-940	259	40	0	0	PUNCT
ap-940	259	41	(	(	PUNCT
ap-940	259	42	free	free	ADJ
ap-940	259	43	particle	particle	NOUN
ap-940	259	44	)	)	PUNCT
ap-940	259	45	and	and	CCONJ
ap-940	259	46	�	�	PROPN
ap-940	259	47	(	(	PUNCT
ap-940	259	48	)	)	PUNCT
ap-940	259	49	x	x	SYM
ap-940	259	50	x	x	X
ap-940	259	51	�	�	PROPN
ap-940	259	52	1	1	NUM
ap-940	259	53	2	2	NUM
ap-940	259	54	2	2	NUM
ap-940	259	55	�	�	PROPN
ap-940	259	56	(	(	PUNCT
ap-940	259	57	linear	linear	PROPN
ap-940	259	58	harmonic	harmonic	ADJ
ap-940	259	59	oscillator	oscillator	NOUN
ap-940	259	60	)	)	PUNCT
ap-940	259	61	.	.	PUNCT
ap-940	260	1	�	�	PROPN
ap-940	260	2	�	�	PROPN
ap-940	260	3	a	a	PROPN
ap-940	260	4	(	(	PUNCT
ap-940	260	5	,	,	PUNCT
ap-940	260	6	;	;	PUNCT
ap-940	260	7	,	,	PUNCT
ap-940	260	8	)	)	PUNCT
ap-940	260	9	(	(	PUNCT
ap-940	260	10	)	)	PUNCT
ap-940	260	11	exp	exp	NOUN
ap-940	260	12	sin	sin	NOUN
ap-940	260	13	(	(	PUNCT
ap-940	260	14	)	)	PUNCT
ap-940	260	15	(	(	PUNCT
ap-940	260	16	)	)	PUNCT
ap-940	260	17	q	q	PROPN
ap-940	261	1	t	t	PROPN
ap-940	261	2	q	q	PROPN
ap-940	261	3	t	t	PROPN
ap-940	261	4	t	t	PROPN
ap-940	262	1	t	t	PROPN
ap-940	263	1	i	i	PRON
ap-940	263	2	t	t	PROPN
ap-940	263	3	t	t	X
ap-940	263	4	q	q	NOUN
ap-940	263	5	q	q	PROPN
ap-940	263	6	0	0	NUM
ap-940	263	7	0	0	NUM
ap-940	263	8	1	1	NUM
ap-940	263	9	1	1	NUM
ap-940	263	10	1	1	NUM
ap-940	263	11	0	0	NUM
ap-940	263	12	1	1	NUM
ap-940	263	13	0	0	NUM
ap-940	263	14	1	1	NUM
ap-940	263	15	2	2	NUM
ap-940	263	16	0	0	NUM
ap-940	263	17	2	2	NUM
ap-940	263	18	2	2	NUM
ap-940	263	19	�	�	PROPN
ap-940	263	20	�	�	PROPN
ap-940	263	21	�	�	PROPN
ap-940	263	22	�	�	PROPN
ap-940	263	23	�	�	PROPN
ap-940	263	24	�	�	PROPN
ap-940	263	25	�	�	PROPN
ap-940	263	26	�	�	PROPN
ap-940	263	27	�	�	PROPN
ap-940	263	28	#	#	PROPN
ap-940	263	29	�	�	PROPN
ap-940	263	30	�	�	PROPN
ap-940	263	31	$	$	SYM
ap-940	263	32	cos	cos	PROPN
ap-940	263	33	(	(	PUNCT
ap-940	263	34	)	)	PUNCT
ap-940	263	35	(	(	PUNCT
ap-940	263	36	)	)	PUNCT
ap-940	263	37	(	(	PUNCT
ap-940	263	38	)	)	PUNCT
ap-940	263	39	,	,	PUNCT
ap-940	263	40	�	�	PROPN
ap-940	263	41	t	t	PROPN
ap-940	263	42	t	t	PROPN
ap-940	263	43	q	q	X
ap-940	263	44	q	q	PROPN
ap-940	263	45	t	t	X
ap-940	263	46	t	t	PROPN
ap-940	263	47	1	1	NUM
ap-940	263	48	0	0	NUM
ap-940	263	49	1	1	NUM
ap-940	263	50	0	0	NUM
ap-940	263	51	1	1	NUM
ap-940	263	52	02	02	NUM
ap-940	263	53	2	2	NUM
ap-940	263	54	�	�	PROPN
ap-940	263	55	�	�	PROPN
ap-940	263	56	�	�	PROPN
ap-940	263	57	�	�	PROPN
ap-940	263	58	�	�	PROPN
ap-940	263	59	�	�	PROPN
ap-940	263	60	�	�	PROPN
ap-940	263	61	ch	ch	PROPN
ap-940	263	62	�	�	PROPN
ap-940	263	63	(	(	PUNCT
ap-940	263	64	21	21	NUM
ap-940	263	65	)	)	PUNCT
ap-940	264	1	where	where	SCONJ
ap-940	264	2	the	the	DET
ap-940	264	3	normalization	normalization	NOUN
ap-940	264	4	factor	factor	NOUN
ap-940	264	5	�	�	PROPN
ap-940	264	6	�	�	PROPN
ap-940	264	7	�	�	PROPN
ap-940	264	8	�	�	PROPN
ap-940	264	9	(	(	PUNCT
ap-940	264	10	)	)	PUNCT
ap-940	264	11	(	(	PUNCT
ap-940	264	12	)	)	PUNCT
ap-940	264	13	sin	sin	NOUN
ap-940	264	14	(	(	PUNCT
ap-940	264	15	)	)	PUNCT
ap-940	264	16	.t	.t	PROPN
ap-940	264	17	t	t	PROPN
ap-940	264	18	t	t	PROPN
ap-940	265	1	t	t	PROPN
ap-940	266	1	i	i	PRON
ap-940	266	2	t	t	PROPN
ap-940	266	3	t1	t1	NOUN
ap-940	266	4	0	0	NUM
ap-940	266	5	2	2	NUM
ap-940	266	6	1	1	NUM
ap-940	266	7	0	0	NUM
ap-940	266	8	1	1	NUM
ap-940	266	9	0	0	NUM
ap-940	266	10	�	�	PROPN
ap-940	266	11	�	�	PROPN
ap-940	266	12	�	�	PROPN
ap-940	266	13	�	�	PROPN
ap-940	266	14	�	�	PROPN
ap-940	266	15	�	�	PROPN
ap-940	266	16	�	�	PROPN
ap-940	266	17	�	�	PROPN
ap-940	266	18	ch	ch	PROPN
ap-940	266	19	�	�	PROPN
ap-940	266	20	�	�	PROPN
ap-940	266	21	(	(	PUNCT
ap-940	266	22	22	22	NUM
ap-940	266	23	)	)	PUNCT
ap-940	266	24	it	it	PRON
ap-940	266	25	is	be	AUX
ap-940	266	26	clear	clear	ADJ
ap-940	266	27	that	that	SCONJ
ap-940	266	28	�	�	PROPN
ap-940	266	29	taking	take	VERB
ap-940	266	30	the	the	DET
ap-940	266	31	limit	limit	NOUN
ap-940	266	32	�	�	PROPN
ap-940	266	33	�	�	PROPN
ap-940	266	34	0	0	NUM
ap-940	266	35	;	;	PUNCT
ap-940	266	36	the	the	DET
ap-940	266	37	above	above	ADJ
ap-940	266	38	amplitude	amplitude	NOUN
ap-940	266	39	reproduces	reproduce	VERB
ap-940	266	40	the	the	DET
ap-940	266	41	free	free	ADJ
ap-940	266	42	particle	particle	NOUN
ap-940	266	43	result	result	NOUN
ap-940	266	44	(	(	PUNCT
ap-940	266	45	20	20	NUM
ap-940	266	46	)	)	PUNCT
ap-940	266	47	,	,	PUNCT
ap-940	266	48	�	�	PROPN
ap-940	266	49	in	in	ADP
ap-940	266	50	the	the	DET
ap-940	266	51	limit	limit	NOUN
ap-940	266	52	�	�	PROPN
ap-940	266	53	�	�	PROPN
ap-940	266	54	0	0	NUM
ap-940	266	55	;	;	PUNCT
ap-940	266	56	the	the	DET
ap-940	266	57	schrödinger	schrödinger	ADJ
ap-940	266	58	propagator	propagator	NOUN
ap-940	266	59	for	for	ADP
ap-940	266	60	a	a	DET
ap-940	266	61	harmonic	harmonic	ADJ
ap-940	266	62	oscillator	oscillator	NOUN
ap-940	266	63	with	with	ADP
ap-940	266	64	frequency	frequency	NOUN
ap-940	266	65	�	�	PROPN
ap-940	266	66	is	be	AUX
ap-940	266	67	recovered	recover	VERB
ap-940	266	68	.	.	PUNCT
ap-940	267	1	acknowledgment	acknowledgment	NOUN
ap-940	267	2	many	many	ADJ
ap-940	267	3	thanks	thank	NOUN
ap-940	267	4	(	(	PUNCT
ap-940	267	5	in	in	ADP
ap-940	267	6	alphabetical	alphabetical	ADJ
ap-940	267	7	order	order	NOUN
ap-940	267	8	)	)	PUNCT
ap-940	267	9	go	go	VERB
ap-940	267	10	to	to	ADP
ap-940	267	11	vladimír	vladimír	PROPN
ap-940	267	12	balek	balek	PROPN
ap-940	267	13	,	,	PUNCT
ap-940	267	14	pavel	pavel	PROPN
ap-940	267	15	bóna	bóna	PROPN
ap-940	267	16	,	,	PUNCT
ap-940	267	17	marián	marián	NOUN
ap-940	267	18	fecko	fecko	PROPN
ap-940	267	19	,	,	PUNCT
ap-940	267	20	tamás	tamás	ADJ
ap-940	267	21	fülöp	fülöp	PROPN
ap-940	267	22	,	,	PUNCT
ap-940	267	23	peter	peter	PROPN
ap-940	267	24	prešnajder	prešnajder	NOUN
ap-940	267	25	,	,	PUNCT
ap-940	267	26	artur	artur	PROPN
ap-940	267	27	sergyeyev	sergyeyev	PROPN
ap-940	267	28	and	and	CCONJ
ap-940	267	29	pavol	pavol	VERB
ap-940	267	30	ševera	ševera	NOUN
ap-940	267	31	for	for	ADP
ap-940	267	32	their	their	PRON
ap-940	267	33	interest	interest	NOUN
ap-940	267	34	,	,	PUNCT
ap-940	267	35	criticism	criticism	NOUN
ap-940	267	36	,	,	PUNCT
ap-940	267	37	fruitful	fruitful	ADJ
ap-940	267	38	discussions	discussion	NOUN
ap-940	267	39	and	and	CCONJ
ap-940	267	40	many	many	ADJ
ap-940	267	41	useful	useful	ADJ
ap-940	267	42	comments	comment	NOUN
ap-940	267	43	.	.	PUNCT
ap-940	268	1	this	this	DET
ap-940	268	2	research	research	NOUN
ap-940	268	3	was	be	AUX
ap-940	268	4	supported	support	VERB
ap-940	268	5	in	in	ADP
ap-940	268	6	part	part	NOUN
ap-940	268	7	by	by	ADP
ap-940	268	8	comenius	comenius	ADJ
ap-940	268	9	university	university	NOUN
ap-940	268	10	grant	grant	NOUN
ap-940	268	11	uk/359/2006	uk/359/2006	PROPN
ap-940	268	12	,	,	PUNCT
ap-940	268	13	vega	vega	PROPN
ap-940	268	14	grant	grant	VERB
ap-940	268	15	1/3042/06	1/3042/06	NUM
ap-940	268	16	and	and	CCONJ
ap-940	268	17	esf	esf	PROPN
ap-940	268	18	project	project	PROPN
ap-940	268	19	jpd3	jpd3	PROPN
ap-940	268	20	ba-2005/1	ba-2005/1	PROPN
ap-940	268	21	-	-	PUNCT
ap-940	268	22	034	034	PROPN
ap-940	268	23	.	.	PUNCT
ap-940	269	1	references	reference	NOUN
ap-940	269	2	[	[	X
ap-940	269	3	1	1	NUM
ap-940	269	4	]	]	PUNCT
ap-940	269	5	dyson	dyson	PROPN
ap-940	269	6	,	,	PUNCT
ap-940	269	7	f.	f.	PROPN
ap-940	269	8	j.	j.	PROPN
ap-940	269	9	:	:	PUNCT
ap-940	269	10	feynman	feynman	PROPN
ap-940	269	11	’s	’s	PART
ap-940	269	12	proof	proof	NOUN
ap-940	269	13	of	of	ADP
ap-940	269	14	the	the	DET
ap-940	269	15	maxwell	maxwell	PROPN
ap-940	269	16	equations	equations	PROPN
ap-940	269	17	,	,	PUNCT
ap-940	269	18	am	be	AUX
ap-940	269	19	.	.	PUNCT
ap-940	270	1	j.	j.	PROPN
ap-940	270	2	phys	phys	PROPN
ap-940	270	3	.	.	PUNCT
ap-940	271	1	vol	vol	NOUN
ap-940	271	2	.	.	PUNCT
ap-940	272	1	58	58	NUM
ap-940	272	2	(	(	PUNCT
ap-940	272	3	1990	1990	NUM
ap-940	272	4	)	)	PUNCT
ap-940	272	5	,	,	PUNCT
ap-940	273	1	p.	p.	NOUN
ap-940	273	2	209–211	209–211	NUM
ap-940	273	3	.	.	PUNCT
ap-940	274	1	[	[	X
ap-940	274	2	2	2	NUM
ap-940	274	3	]	]	X
ap-940	274	4	henneaux	henneaux	NOUN
ap-940	274	5	,	,	PUNCT
ap-940	274	6	m.	m.	NOUN
ap-940	274	7	:	:	PUNCT
ap-940	274	8	equations	equation	NOUN
ap-940	274	9	of	of	ADP
ap-940	274	10	motion	motion	NOUN
ap-940	274	11	,	,	PUNCT
ap-940	274	12	commutation	commutation	NOUN
ap-940	274	13	relations	relation	NOUN
ap-940	274	14	and	and	CCONJ
ap-940	274	15	ambiguities	ambiguity	NOUN
ap-940	274	16	in	in	ADP
ap-940	274	17	the	the	DET
ap-940	274	18	lagrangian	lagrangian	ADJ
ap-940	274	19	formalism	formalism	NOUN
ap-940	274	20	,	,	PUNCT
ap-940	274	21	annals	annal	VERB
ap-940	274	22	phys	phy	NOUN
ap-940	274	23	.	.	PUNCT
ap-940	275	1	vol	vol	NOUN
ap-940	275	2	.	.	PROPN
ap-940	276	1	140	140	NUM
ap-940	276	2	(	(	PUNCT
ap-940	276	3	1982	1982	NUM
ap-940	276	4	)	)	PUNCT
ap-940	276	5	,	,	PUNCT
ap-940	276	6	p.	p.	NOUN
ap-940	276	7	45–64	45–64	NUM
ap-940	276	8	.	.	PUNCT
ap-940	277	1	[	[	X
ap-940	277	2	3	3	NUM
ap-940	277	3	]	]	PUNCT
ap-940	277	4	sarlet	sarlet	NOUN
ap-940	277	5	,	,	PUNCT
ap-940	277	6	w.	w.	PROPN
ap-940	277	7	:	:	PUNCT
ap-940	277	8	the	the	DET
ap-940	277	9	helmholtz	helmholtz	NOUN
ap-940	277	10	condition	condition	NOUN
ap-940	277	11	revisited	revisit	VERB
ap-940	277	12	.	.	PUNCT
ap-940	278	1	a	a	DET
ap-940	278	2	new	new	ADJ
ap-940	278	3	approach	approach	NOUN
ap-940	278	4	to	to	ADP
ap-940	278	5	the	the	DET
ap-940	278	6	inverse	inverse	NOUN
ap-940	278	7	problem	problem	NOUN
ap-940	278	8	of	of	ADP
ap-940	278	9	lagrangian	lagrangian	ADJ
ap-940	278	10	dynamics	dynamic	NOUN
ap-940	278	11	,	,	PUNCT
ap-940	278	12	j.	j.	PROPN
ap-940	278	13	phys	phys	PROPN
ap-940	278	14	.	.	PUNCT
ap-940	279	1	a	a	DET
ap-940	279	2	:	:	PUNCT
ap-940	279	3	math	math	NOUN
ap-940	279	4	.	.	PUNCT
ap-940	280	1	gen	gen	PROPN
ap-940	280	2	.	.	PROPN
ap-940	280	3	vol	vol	NOUN
ap-940	280	4	.	.	PROPN
ap-940	280	5	15	15	NUM
ap-940	280	6	(	(	PUNCT
ap-940	280	7	1982	1982	NUM
ap-940	280	8	)	)	PUNCT
ap-940	280	9	,	,	PUNCT
ap-940	280	10	p.	p.	NOUN
ap-940	280	11	1503–1517	1503–1517	NUM
ap-940	280	12	.	.	PUNCT
ap-940	281	1	[	[	X
ap-940	281	2	4	4	X
ap-940	281	3	]	]	X
ap-940	281	4	henneaux	henneaux	NOUN
ap-940	281	5	,	,	PUNCT
ap-940	281	6	m.	m.	NOUN
ap-940	281	7	:	:	PUNCT
ap-940	281	8	on	on	ADP
ap-940	281	9	the	the	DET
ap-940	281	10	inverse	inverse	NOUN
ap-940	281	11	problem	problem	NOUN
ap-940	281	12	of	of	ADP
ap-940	281	13	the	the	DET
ap-940	281	14	calculus	calculus	NOUN
ap-940	281	15	of	of	ADP
ap-940	281	16	variations	variation	NOUN
ap-940	281	17	,	,	PUNCT
ap-940	281	18	j.	j.	PROPN
ap-940	281	19	phys	phys	PROPN
ap-940	281	20	.	.	PUNCT
ap-940	282	1	a	a	DET
ap-940	282	2	:	:	PUNCT
ap-940	282	3	math	math	NOUN
ap-940	282	4	.	.	PUNCT
ap-940	283	1	gen	gen	PROPN
ap-940	283	2	.	.	PROPN
ap-940	283	3	vol	vol	NOUN
ap-940	283	4	.	.	PROPN
ap-940	283	5	15	15	NUM
ap-940	283	6	(	(	PUNCT
ap-940	283	7	1982	1982	NUM
ap-940	283	8	)	)	PUNCT
ap-940	283	9	,	,	PUNCT
ap-940	283	10	p.	p.	PROPN
ap-940	283	11	l93	l93	NOUN
ap-940	283	12	–	–	PUNCT
ap-940	283	13	l96	l96	NOUN
ap-940	283	14	.	.	PUNCT
ap-940	284	1	[	[	X
ap-940	284	2	5	5	NUM
ap-940	284	3	]	]	PUNCT
ap-940	284	4	kochan	kochan	NOUN
ap-940	284	5	,	,	PUNCT
ap-940	284	6	d.	d.	PROPN
ap-940	284	7	:	:	PUNCT
ap-940	284	8	how	how	SCONJ
ap-940	284	9	to	to	PART
ap-940	284	10	quantize	quantize	VERB
ap-940	284	11	forces	force	NOUN
ap-940	284	12	(	(	PUNCT
ap-940	284	13	?	?	NUM
ap-940	284	14	):	):	PUNCT
ap-940	284	15	an	an	DET
ap-940	284	16	academic	academic	ADJ
ap-940	284	17	essay	essay	NOUN
ap-940	284	18	how	how	SCONJ
ap-940	284	19	the	the	DET
ap-940	284	20	strings	string	NOUN
ap-940	284	21	could	could	AUX
ap-940	284	22	enter	enter	VERB
ap-940	284	23	classical	classical	ADJ
ap-940	284	24	mechanics	mechanic	NOUN
ap-940	284	25	,	,	PUNCT
ap-940	284	26	submitted	submit	VERB
ap-940	284	27	to	to	ADP
ap-940	284	28	jmp	jmp	PROPN
ap-940	284	29	,	,	PUNCT
ap-940	284	30	hep	hep	NOUN
ap-940	284	31	-	-	PROPN
ap-940	284	32	th/0612115	th/0612115	PROPN
ap-940	284	33	.	.	PUNCT
ap-940	285	1	[	[	X
ap-940	285	2	6	6	NUM
ap-940	285	3	]	]	PUNCT
ap-940	285	4	kochan	kochan	NOUN
ap-940	285	5	,	,	PUNCT
ap-940	285	6	d.	d.	PROPN
ap-940	285	7	:	:	PUNCT
ap-940	285	8	direct	direct	ADJ
ap-940	285	9	quantization	quantization	NOUN
ap-940	285	10	of	of	ADP
ap-940	285	11	equations	equation	NOUN
ap-940	285	12	of	of	ADP
ap-940	285	13	motion	motion	NOUN
ap-940	285	14	:	:	PUNCT
ap-940	285	15	from	from	ADP
ap-940	285	16	classical	classical	ADJ
ap-940	285	17	dynamics	dynamic	NOUN
ap-940	285	18	to	to	ADP
ap-940	285	19	transition	transition	NOUN
ap-940	285	20	amplitudes	amplitude	NOUN
ap-940	285	21	via	via	ADP
ap-940	285	22	strings	string	NOUN
ap-940	285	23	,	,	PUNCT
ap-940	285	24	submitted	submit	VERB
ap-940	285	25	to	to	ADP
ap-940	285	26	cmp	cmp	NOUN
ap-940	285	27	,	,	PUNCT
ap-940	285	28	hep	hep	NOUN
ap-940	285	29	-	-	PUNCT
ap-940	285	30	th/0703073	th/0703073	NOUN
ap-940	285	31	.	.	PUNCT
ap-940	286	1	[	[	X
ap-940	286	2	7	7	NUM
ap-940	286	3	]	]	X
ap-940	286	4	arnol’d	arnol’d	NOUN
ap-940	286	5	,	,	PUNCT
ap-940	286	6	v.	v.	PROPN
ap-940	286	7	i.	i.	PROPN
ap-940	286	8	:	:	PUNCT
ap-940	286	9	mathematical	mathematical	ADJ
ap-940	286	10	methods	method	NOUN
ap-940	286	11	of	of	ADP
ap-940	286	12	classical	classical	ADJ
ap-940	286	13	mechanics	mechanic	NOUN
ap-940	286	14	(	(	PUNCT
ap-940	286	15	2nd	2nd	ADJ
ap-940	286	16	ed	ed	NOUN
ap-940	286	17	.	.	PUNCT
ap-940	286	18	)	)	PUNCT
ap-940	286	19	,	,	PUNCT
ap-940	286	20	springer	springer	NOUN
ap-940	286	21	-	-	PUNCT
ap-940	286	22	verlag	verlag	PROPN
ap-940	286	23	,	,	PUNCT
ap-940	286	24	1989	1989	NUM
ap-940	286	25	.	.	PUNCT
ap-940	287	1	[	[	X
ap-940	287	2	8	8	NUM
ap-940	287	3	]	]	X
ap-940	287	4	abraham	abraham	PROPN
ap-940	287	5	,	,	PUNCT
ap-940	287	6	r.	r.	PROPN
ap-940	287	7	,	,	PUNCT
ap-940	287	8	marsden	marsden	PROPN
ap-940	287	9	,	,	PUNCT
ap-940	287	10	j.	j.	PROPN
ap-940	287	11	e.	e.	PROPN
ap-940	287	12	:	:	PUNCT
ap-940	287	13	foundation	foundation	PROPN
ap-940	287	14	of	of	ADP
ap-940	287	15	mechanics	mechanic	NOUN
ap-940	287	16	,	,	PUNCT
ap-940	287	17	addison	addison	PROPN
ap-940	287	18	-	-	PUNCT
ap-940	287	19	wesley	wesley	PROPN
ap-940	287	20	,	,	PUNCT
ap-940	287	21	1978	1978	NUM
ap-940	287	22	.	.	PUNCT
ap-940	288	1	[	[	X
ap-940	288	2	9	9	NUM
ap-940	288	3	]	]	SYM
ap-940	288	4	burke	burke	PROPN
ap-940	288	5	,	,	PUNCT
ap-940	288	6	w.	w.	PROPN
ap-940	288	7	l.	l.	PROPN
ap-940	288	8	:	:	PUNCT
ap-940	288	9	applied	apply	VERB
ap-940	288	10	differential	differential	NOUN
ap-940	288	11	geometry	geometry	NOUN
ap-940	288	12	,	,	PUNCT
ap-940	288	13	cambridge	cambridge	PROPN
ap-940	288	14	university	university	PROPN
ap-940	288	15	press	press	NOUN
ap-940	288	16	,	,	PUNCT
ap-940	288	17	1985	1985	NUM
ap-940	288	18	.	.	PUNCT
ap-940	289	1	[	[	X
ap-940	289	2	10	10	NUM
ap-940	289	3	]	]	SYM
ap-940	289	4	fecko	fecko	ADJ
ap-940	289	5	,	,	PUNCT
ap-940	289	6	m.	m.	NOUN
ap-940	289	7	:	:	PUNCT
ap-940	289	8	differential	differential	NOUN
ap-940	289	9	geometry	geometry	NOUN
ap-940	289	10	and	and	CCONJ
ap-940	289	11	lie	lie	VERB
ap-940	289	12	groups	group	NOUN
ap-940	289	13	for	for	ADP
ap-940	289	14	physicists	physicist	NOUN
ap-940	289	15	,	,	PUNCT
ap-940	289	16	cambridge	cambridge	PROPN
ap-940	289	17	university	university	PROPN
ap-940	289	18	press	press	NOUN
ap-940	289	19	,	,	PUNCT
ap-940	289	20	2006	2006	NUM
ap-940	289	21	.	.	PUNCT
ap-940	290	1	[	[	X
ap-940	290	2	11	11	NUM
ap-940	290	3	]	]	X
ap-940	290	4	feynman	feynman	PROPN
ap-940	290	5	,	,	PUNCT
ap-940	290	6	r.	r.	PROPN
ap-940	290	7	p.	p.	PROPN
ap-940	290	8	,	,	PUNCT
ap-940	290	9	hibbs	hibbs	PROPN
ap-940	290	10	,	,	PUNCT
ap-940	290	11	a.	a.	PROPN
ap-940	290	12	r.	r.	PROPN
ap-940	290	13	:	:	PUNCT
ap-940	290	14	quantum	quantum	ADJ
ap-940	290	15	mechanics	mechanic	NOUN
ap-940	290	16	and	and	CCONJ
ap-940	290	17	path	path	NOUN
ap-940	290	18	integral	integral	ADJ
ap-940	290	19	,	,	PUNCT
ap-940	290	20	mcgraw	mcgraw	PROPN
ap-940	290	21	-	-	PUNCT
ap-940	290	22	hill	hill	NOUN
ap-940	290	23	,	,	PUNCT
ap-940	290	24	1965	1965	NUM
ap-940	290	25	.	.	PUNCT
ap-940	291	1	[	[	X
ap-940	291	2	12	12	NUM
ap-940	291	3	]	]	X
ap-940	291	4	faddeev	faddeev	PROPN
ap-940	291	5	,	,	PUNCT
ap-940	291	6	l.	l.	PROPN
ap-940	291	7	d.	d.	PROPN
ap-940	291	8	,	,	PUNCT
ap-940	291	9	slavnov	slavnov	PROPN
ap-940	291	10	,	,	PUNCT
ap-940	291	11	a.	a.	NOUN
ap-940	291	12	a.	a.	NOUN
ap-940	291	13	:	:	PUNCT
ap-940	291	14	gauge	gauge	NOUN
ap-940	291	15	fields	field	NOUN
ap-940	291	16	:	:	PUNCT
ap-940	291	17	an	an	DET
ap-940	291	18	introduction	introduction	NOUN
ap-940	291	19	to	to	ADP
ap-940	291	20	quantum	quantum	ADJ
ap-940	291	21	theory	theory	NOUN
ap-940	291	22	(	(	PUNCT
ap-940	291	23	2nd	2nd	ADJ
ap-940	291	24	ed	ed	NOUN
ap-940	291	25	.	.	PUNCT
ap-940	291	26	)	)	PUNCT
ap-940	291	27	,	,	PUNCT
ap-940	291	28	addison	addison	PROPN
ap-940	291	29	-	-	PUNCT
ap-940	291	30	wesley	wesley	PROPN
ap-940	291	31	,	,	PUNCT
ap-940	291	32	1991	1991	NUM
ap-940	291	33	.	.	PUNCT
ap-940	292	1	mgr	mgr	PROPN
ap-940	292	2	.	.	PUNCT
ap-940	293	1	denis	denis	PROPN
ap-940	293	2	kochan	kochan	PROPN
ap-940	293	3	,	,	PUNCT
ap-940	293	4	ph.d	ph.d	PROPN
ap-940	293	5	.	.	PUNCT
ap-940	293	6	phone	phone	NOUN
ap-940	293	7	:	:	PUNCT
ap-940	293	8	+421	+421	PROPN
ap-940	294	1	02	02	NUM
ap-940	294	2	602	602	NUM
ap-940	294	3	95	95	NUM
ap-940	294	4	460	460	NUM
ap-940	294	5	e	e	NOUN
ap-940	294	6	-	-	NOUN
ap-940	294	7	mail	mail	NOUN
ap-940	294	8	:	:	PUNCT
ap-940	294	9	kochan@fmph.uniba.sk	kochan@fmph.uniba.sk	PROPN
ap-940	294	10	department	department	PROPN
ap-940	294	11	of	of	ADP
ap-940	294	12	theoretical	theoretical	ADJ
ap-940	294	13	physics	physics	NOUN
ap-940	294	14	and	and	CCONJ
ap-940	294	15	didactics	didactics	NOUN
ap-940	294	16	of	of	ADP
ap-940	294	17	physics	physics	PROPN
ap-940	294	18	comenius	comenius	PROPN
ap-940	294	19	university	university	PROPN
ap-940	294	20	of	of	ADP
ap-940	294	21	bratislava	bratislava	PROPN
ap-940	294	22	faculty	faculty	NOUN
ap-940	294	23	of	of	ADP
ap-940	294	24	matematics	matematics	PROPN
ap-940	294	25	physics	physics	PROPN
ap-940	294	26	and	and	CCONJ
ap-940	294	27	iinformatics	iinformatic	NOUN
ap-940	294	28	mlynská	mlynská	PROPN
ap-940	294	29	dolina	dolina	PROPN
ap-940	294	30	f2	f2	PROPN
ap-940	294	31	842	842	NUM
ap-940	294	32	48	48	NUM
ap-940	294	33	bratislava	bratislava	NOUN
ap-940	294	34	,	,	PUNCT
ap-940	294	35	slovakia	slovakia	PROPN
ap-940	294	36	©	©	PROPN
ap-940	294	37	czech	czech	PROPN
ap-940	294	38	technical	technical	PROPN
ap-940	294	39	university	university	PROPN
ap-940	294	40	publishing	publishing	NOUN
ap-940	294	41	house	house	NOUN
ap-940	294	42	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-940	294	43	67	67	NUM
ap-940	294	44	acta	acta	PROPN
ap-940	294	45	polytechnica	polytechnica	PROPN
ap-940	294	46	vol	vol	NOUN
ap-940	294	47	.	.	PUNCT
ap-940	295	1	47	47	NUM
ap-940	295	2	no	no	INTJ
ap-940	295	3	.	.	PUNCT
ap-940	296	1	2–3/2007	2–3/2007	NUM