id	sid	tid	token	lemma	pos
ap-664	1	1	ap05_1.vp	ap05_1.vp	NOUN
ap-664	1	2	1	1	NUM
ap-664	1	3	introduction	introduction	NOUN
ap-664	1	4	if	if	SCONJ
ap-664	1	5	a	a	DET
ap-664	1	6	rotating	rotate	VERB
ap-664	1	7	body	body	NOUN
ap-664	1	8	is	be	AUX
ap-664	1	9	heated	heat	VERB
ap-664	1	10	,	,	PUNCT
ap-664	1	11	its	its	PRON
ap-664	1	12	internal	internal	ADJ
ap-664	1	13	energy	energy	NOUN
ap-664	1	14	increases	increase	NOUN
ap-664	1	15	and	and	CCONJ
ap-664	1	16	the	the	DET
ap-664	1	17	concurrent	concurrent	ADJ
ap-664	1	18	temperature	temperature	NOUN
ap-664	1	19	increase	increase	NOUN
ap-664	1	20	is	be	AUX
ap-664	1	21	followed	follow	VERB
ap-664	1	22	by	by	ADP
ap-664	1	23	thermal	thermal	ADJ
ap-664	1	24	expansion	expansion	NOUN
ap-664	1	25	.	.	PUNCT
ap-664	2	1	this	this	PRON
ap-664	2	2	results	result	VERB
ap-664	2	3	in	in	ADP
ap-664	2	4	an	an	DET
ap-664	2	5	increase	increase	NOUN
ap-664	2	6	in	in	ADP
ap-664	2	7	the	the	DET
ap-664	2	8	moment	moment	NOUN
ap-664	2	9	of	of	ADP
ap-664	2	10	inertia	inertia	NOUN
ap-664	2	11	of	of	ADP
ap-664	2	12	the	the	DET
ap-664	2	13	body	body	NOUN
ap-664	2	14	.	.	PUNCT
ap-664	3	1	when	when	SCONJ
ap-664	3	2	no	no	DET
ap-664	3	3	external	external	ADJ
ap-664	3	4	torque	torque	NOUN
ap-664	3	5	affects	affect	VERB
ap-664	3	6	the	the	DET
ap-664	3	7	body	body	NOUN
ap-664	3	8	,	,	PUNCT
ap-664	3	9	then	then	ADV
ap-664	3	10	according	accord	VERB
ap-664	3	11	to	to	ADP
ap-664	3	12	the	the	DET
ap-664	3	13	principle	principle	NOUN
ap-664	3	14	of	of	ADP
ap-664	3	15	conservation	conservation	NOUN
ap-664	3	16	of	of	ADP
ap-664	3	17	angular	angular	ADJ
ap-664	3	18	momentum	momentum	NOUN
ap-664	3	19	,	,	PUNCT
ap-664	3	20	the	the	DET
ap-664	3	21	angular	angular	ADJ
ap-664	3	22	momentum	momentum	NOUN
ap-664	3	23	is	be	AUX
ap-664	3	24	constant	constant	ADJ
ap-664	3	25	[	[	X
ap-664	3	26	1	1	NUM
ap-664	3	27	]	]	PUNCT
ap-664	3	28	.	.	PUNCT
ap-664	4	1	since	since	SCONJ
ap-664	4	2	the	the	DET
ap-664	4	3	angular	angular	ADJ
ap-664	4	4	momentum	momentum	NOUN
ap-664	4	5	of	of	ADP
ap-664	4	6	the	the	DET
ap-664	4	7	body	body	NOUN
ap-664	4	8	is	be	AUX
ap-664	4	9	proportional	proportional	ADJ
ap-664	4	10	to	to	ADP
ap-664	4	11	the	the	DET
ap-664	4	12	moment	moment	NOUN
ap-664	4	13	of	of	ADP
ap-664	4	14	inertia	inertia	NOUN
ap-664	4	15	and	and	CCONJ
ap-664	4	16	to	to	ADP
ap-664	4	17	the	the	DET
ap-664	4	18	angular	angular	ADJ
ap-664	4	19	velocity	velocity	NOUN
ap-664	4	20	[	[	X
ap-664	4	21	1	1	NUM
ap-664	4	22	]	]	PUNCT
ap-664	4	23	,	,	PUNCT
ap-664	4	24	the	the	DET
ap-664	4	25	increase	increase	NOUN
ap-664	4	26	in	in	ADP
ap-664	4	27	the	the	DET
ap-664	4	28	moment	moment	NOUN
ap-664	4	29	of	of	ADP
ap-664	4	30	inertia	inertia	NOUN
ap-664	4	31	is	be	AUX
ap-664	4	32	followed	follow	VERB
ap-664	4	33	by	by	ADP
ap-664	4	34	a	a	DET
ap-664	4	35	reduction	reduction	NOUN
ap-664	4	36	in	in	ADP
ap-664	4	37	angular	angular	ADJ
ap-664	4	38	velocity	velocity	NOUN
ap-664	4	39	.	.	PUNCT
ap-664	5	1	the	the	DET
ap-664	5	2	final	final	ADJ
ap-664	5	3	effect	effect	NOUN
ap-664	5	4	is	be	AUX
ap-664	5	5	that	that	SCONJ
ap-664	5	6	there	there	PRON
ap-664	5	7	is	be	VERB
ap-664	5	8	a	a	DET
ap-664	5	9	decrease	decrease	NOUN
ap-664	5	10	in	in	ADP
ap-664	5	11	the	the	DET
ap-664	5	12	kinetic	kinetic	ADJ
ap-664	5	13	energy	energy	NOUN
ap-664	5	14	of	of	ADP
ap-664	5	15	the	the	DET
ap-664	5	16	rotating	rotate	VERB
ap-664	5	17	body	body	NOUN
ap-664	5	18	,	,	PUNCT
ap-664	5	19	which	which	PRON
ap-664	5	20	is	be	AUX
ap-664	5	21	proportional	proportional	ADJ
ap-664	5	22	to	to	ADP
ap-664	5	23	the	the	DET
ap-664	5	24	moment	moment	NOUN
ap-664	5	25	of	of	ADP
ap-664	5	26	inertia	inertia	NOUN
ap-664	5	27	and	and	CCONJ
ap-664	5	28	to	to	ADP
ap-664	5	29	the	the	DET
ap-664	5	30	power	power	NOUN
ap-664	5	31	in	in	ADP
ap-664	5	32	the	the	DET
ap-664	5	33	angular	angular	ADJ
ap-664	5	34	velocity	velocity	NOUN
ap-664	5	35	.	.	PUNCT
ap-664	6	1	(	(	PUNCT
ap-664	6	2	an	an	DET
ap-664	6	3	example	example	NOUN
ap-664	6	4	of	of	ADP
ap-664	6	5	a	a	DET
ap-664	6	6	converse	converse	NOUN
ap-664	6	7	effect	effect	NOUN
ap-664	6	8	is	be	AUX
ap-664	6	9	the	the	DET
ap-664	6	10	increase	increase	NOUN
ap-664	6	11	of	of	ADP
ap-664	6	12	the	the	DET
ap-664	6	13	angular	angular	ADJ
ap-664	6	14	velocity	velocity	NOUN
ap-664	6	15	of	of	ADP
ap-664	6	16	a	a	DET
ap-664	6	17	“	"	PUNCT
ap-664	6	18	black	black	ADJ
ap-664	6	19	hole	hole	NOUN
ap-664	6	20	”	"	PUNCT
ap-664	6	21	during	during	ADP
ap-664	6	22	its	its	PRON
ap-664	6	23	gravitational	gravitational	ADJ
ap-664	6	24	collapse	collapse	NOUN
ap-664	6	25	)	)	PUNCT
ap-664	6	26	.	.	PUNCT
ap-664	7	1	according	accord	VERB
ap-664	7	2	to	to	ADP
ap-664	7	3	the	the	DET
ap-664	7	4	energy	energy	NOUN
ap-664	7	5	conservation	conservation	NOUN
ap-664	7	6	law	law	NOUN
ap-664	7	7	,	,	PUNCT
ap-664	7	8	the	the	DET
ap-664	7	9	decay	decay	NOUN
ap-664	7	10	of	of	ADP
ap-664	7	11	kinetic	kinetic	ADJ
ap-664	7	12	energy	energy	NOUN
ap-664	7	13	must	must	AUX
ap-664	7	14	convert	convert	VERB
ap-664	7	15	into	into	ADP
ap-664	7	16	another	another	DET
ap-664	7	17	form	form	NOUN
ap-664	7	18	of	of	ADP
ap-664	7	19	energy	energy	NOUN
ap-664	7	20	.	.	PUNCT
ap-664	8	1	only	only	ADV
ap-664	8	2	thermal	thermal	ADJ
ap-664	8	3	energy	energy	NOUN
ap-664	8	4	and	and	CCONJ
ap-664	8	5	deformation	deformation	NOUN
ap-664	8	6	energy	energy	NOUN
ap-664	8	7	originating	originating	NOUN
ap-664	8	8	from	from	ADP
ap-664	8	9	centrifugal	centrifugal	ADJ
ap-664	8	10	forces	force	NOUN
ap-664	8	11	are	be	AUX
ap-664	8	12	in	in	ADP
ap-664	8	13	consideration	consideration	NOUN
ap-664	8	14	.	.	PUNCT
ap-664	9	1	however	however	ADV
ap-664	9	2	,	,	PUNCT
ap-664	9	3	as	as	SCONJ
ap-664	9	4	proved	prove	VERB
ap-664	9	5	by	by	ADP
ap-664	9	6	the	the	DET
ap-664	9	7	following	following	ADJ
ap-664	9	8	mathematical	mathematical	ADJ
ap-664	9	9	calculation	calculation	NOUN
ap-664	9	10	,	,	PUNCT
ap-664	9	11	deformation	deformation	NOUN
ap-664	9	12	energy	energy	NOUN
ap-664	9	13	also	also	ADV
ap-664	9	14	decreases	decrease	VERB
ap-664	9	15	with	with	ADP
ap-664	9	16	thermal	thermal	ADJ
ap-664	9	17	expansion	expansion	NOUN
ap-664	9	18	.	.	PUNCT
ap-664	10	1	this	this	PRON
ap-664	10	2	means	mean	VERB
ap-664	10	3	that	that	SCONJ
ap-664	10	4	the	the	DET
ap-664	10	5	deficit	deficit	NOUN
ap-664	10	6	of	of	ADP
ap-664	10	7	kinetic	kinetic	ADJ
ap-664	10	8	energy	energy	NOUN
ap-664	10	9	and	and	CCONJ
ap-664	10	10	of	of	ADP
ap-664	10	11	deformation	deformation	NOUN
ap-664	10	12	energy	energy	NOUN
ap-664	10	13	converts	convert	NOUN
ap-664	10	14	into	into	ADP
ap-664	10	15	an	an	DET
ap-664	10	16	increase	increase	NOUN
ap-664	10	17	in	in	ADP
ap-664	10	18	the	the	DET
ap-664	10	19	internal	internal	ADJ
ap-664	10	20	energy	energy	NOUN
ap-664	10	21	of	of	ADP
ap-664	10	22	the	the	DET
ap-664	10	23	body	body	NOUN
ap-664	10	24	.	.	PUNCT
ap-664	11	1	in	in	ADP
ap-664	11	2	sum	sum	NOUN
ap-664	11	3	,	,	PUNCT
ap-664	11	4	if	if	SCONJ
ap-664	11	5	a	a	DET
ap-664	11	6	rotating	rotate	VERB
ap-664	11	7	body	body	NOUN
ap-664	11	8	is	be	AUX
ap-664	11	9	heated	heat	VERB
ap-664	11	10	,	,	PUNCT
ap-664	11	11	the	the	DET
ap-664	11	12	increase	increase	NOUN
ap-664	11	13	in	in	ADP
ap-664	11	14	its	its	PRON
ap-664	11	15	internal	internal	ADJ
ap-664	11	16	energy	energy	NOUN
ap-664	11	17	is	be	AUX
ap-664	11	18	higher	high	ADJ
ap-664	11	19	than	than	ADP
ap-664	11	20	if	if	SCONJ
ap-664	11	21	the	the	DET
ap-664	11	22	body	body	NOUN
ap-664	11	23	at	at	ADP
ap-664	11	24	rest	rest	NOUN
ap-664	11	25	.	.	PUNCT
ap-664	12	1	the	the	DET
ap-664	12	2	“	"	PUNCT
ap-664	12	3	additional	additional	ADJ
ap-664	12	4	”	"	PUNCT
ap-664	12	5	increase	increase	NOUN
ap-664	12	6	in	in	ADP
ap-664	12	7	the	the	DET
ap-664	12	8	internal	internal	ADJ
ap-664	12	9	energy	energy	NOUN
ap-664	12	10	of	of	ADP
ap-664	12	11	a	a	DET
ap-664	12	12	rotating	rotate	VERB
ap-664	12	13	body	body	NOUN
ap-664	12	14	appears	appear	VERB
ap-664	12	15	to	to	ADP
ap-664	12	16	the	the	DET
ap-664	12	17	detriment	detriment	NOUN
ap-664	12	18	of	of	ADP
ap-664	12	19	its	its	PRON
ap-664	12	20	kinetic	kinetic	ADJ
ap-664	12	21	and	and	CCONJ
ap-664	12	22	deformation	deformation	NOUN
ap-664	12	23	energy	energy	NOUN
ap-664	12	24	.	.	PUNCT
ap-664	13	1	in	in	ADP
ap-664	13	2	the	the	DET
ap-664	13	3	following	follow	VERB
ap-664	13	4	study	study	VERB
ap-664	13	5	the	the	DET
ap-664	13	6	case	case	NOUN
ap-664	13	7	of	of	ADP
ap-664	13	8	heating	heating	NOUN
ap-664	13	9	or	or	CCONJ
ap-664	13	10	cooling	cool	VERB
ap-664	13	11	a	a	DET
ap-664	13	12	rotating	rotate	VERB
ap-664	13	13	body	body	NOUN
ap-664	13	14	is	be	AUX
ap-664	13	15	treated	treat	VERB
ap-664	13	16	mathematically	mathematically	ADV
ap-664	13	17	,	,	PUNCT
ap-664	13	18	and	and	CCONJ
ap-664	13	19	the	the	DET
ap-664	13	20	trend	trend	NOUN
ap-664	13	21	of	of	ADP
ap-664	13	22	the	the	DET
ap-664	13	23	quantities	quantity	NOUN
ap-664	13	24	characterising	characterise	VERB
ap-664	13	25	the	the	DET
ap-664	13	26	effect	effect	NOUN
ap-664	13	27	is	be	AUX
ap-664	13	28	demonstrated	demonstrate	VERB
ap-664	13	29	under	under	ADP
ap-664	13	30	concrete	concrete	ADJ
ap-664	13	31	parameters	parameter	NOUN
ap-664	13	32	.	.	PUNCT
ap-664	14	1	2	2	NUM
ap-664	14	2	assumptions	assumption	NOUN
ap-664	14	3	it	it	PRON
ap-664	14	4	is	be	AUX
ap-664	14	5	supposed	suppose	VERB
ap-664	14	6	that	that	SCONJ
ap-664	14	7	the	the	DET
ap-664	14	8	body	body	NOUN
ap-664	14	9	,	,	PUNCT
ap-664	14	10	rotating	rotate	VERB
ap-664	14	11	with	with	ADP
ap-664	14	12	angular	angular	ADJ
ap-664	14	13	velocity	velocity	NOUN
ap-664	14	14	�	�	PROPN
ap-664	14	15	0	0	NUM
ap-664	14	16	,	,	PUNCT
ap-664	14	17	(	(	PUNCT
ap-664	14	18	subscript	subscript	NOUN
ap-664	14	19	“	"	PUNCT
ap-664	14	20	0	0	NUM
ap-664	14	21	”	"	PUNCT
ap-664	14	22	always	always	ADV
ap-664	14	23	means	mean	VERB
ap-664	14	24	the	the	DET
ap-664	14	25	initial	initial	ADJ
ap-664	14	26	value	value	NOUN
ap-664	14	27	of	of	ADP
ap-664	14	28	a	a	DET
ap-664	14	29	variable	variable	NOUN
ap-664	14	30	)	)	PUNCT
ap-664	14	31	is	be	AUX
ap-664	14	32	a	a	DET
ap-664	14	33	cylinder	cylinder	NOUN
ap-664	14	34	with	with	ADP
ap-664	14	35	radius	radius	NOUN
ap-664	14	36	r0	r0	NOUN
ap-664	14	37	,	,	PUNCT
ap-664	14	38	mass	mass	PROPN
ap-664	14	39	m	m	PROPN
ap-664	14	40	and	and	CCONJ
ap-664	14	41	height	height	PROPN
ap-664	14	42	h0	h0	PROPN
ap-664	14	43	,	,	PUNCT
ap-664	14	44	which	which	PRON
ap-664	14	45	is	be	AUX
ap-664	14	46	small	small	ADJ
ap-664	14	47	in	in	ADP
ap-664	14	48	comparison	comparison	NOUN
ap-664	14	49	with	with	ADP
ap-664	14	50	radius	radius	NOUN
ap-664	14	51	r0	r0	NOUN
ap-664	14	52	.	.	PUNCT
ap-664	15	1	the	the	DET
ap-664	15	2	axis	axis	NOUN
ap-664	15	3	of	of	ADP
ap-664	15	4	rotation	rotation	NOUN
ap-664	15	5	and	and	CCONJ
ap-664	15	6	the	the	DET
ap-664	15	7	geometric	geometric	ADJ
ap-664	15	8	axis	axis	NOUN
ap-664	15	9	of	of	ADP
ap-664	15	10	the	the	DET
ap-664	15	11	cylinder	cylinder	NOUN
ap-664	15	12	are	be	AUX
ap-664	15	13	identical	identical	ADJ
ap-664	15	14	.	.	PUNCT
ap-664	16	1	the	the	DET
ap-664	16	2	density	density	NOUN
ap-664	16	3	of	of	ADP
ap-664	16	4	the	the	DET
ap-664	16	5	cylinder	cylinder	NOUN
ap-664	16	6	material	material	NOUN
ap-664	16	7	is	be	AUX
ap-664	16	8	�	�	PROPN
ap-664	16	9	0	0	NUM
ap-664	16	10	,	,	PUNCT
ap-664	16	11	young	young	ADJ
ap-664	16	12	’s	’s	PART
ap-664	16	13	modulus	modulus	ADJ
ap-664	16	14	e	e	NOUN
ap-664	16	15	,	,	PUNCT
ap-664	16	16	poisson	poisson	PROPN
ap-664	16	17	’s	’s	PART
ap-664	16	18	number	number	NOUN
ap-664	16	19	�	�	PROPN
ap-664	16	20	,	,	PUNCT
ap-664	16	21	specific	specific	ADJ
ap-664	16	22	heat	heat	NOUN
ap-664	16	23	capacity	capacity	NOUN
ap-664	16	24	c	c	NOUN
ap-664	16	25	,	,	PUNCT
ap-664	16	26	and	and	CCONJ
ap-664	16	27	coefficient	coefficient	NOUN
ap-664	16	28	of	of	ADP
ap-664	16	29	thermal	thermal	ADJ
ap-664	16	30	expansion	expansion	NOUN
ap-664	16	31	�	�	PROPN
ap-664	16	32	(	(	PUNCT
ap-664	16	33	fig	fig	NOUN
ap-664	16	34	.	.	PUNCT
ap-664	17	1	1	1	NUM
ap-664	17	2	)	)	PUNCT
ap-664	17	3	.	.	PUNCT
ap-664	18	1	quantities	quantity	NOUN
ap-664	18	2	e	e	NOUN
ap-664	18	3	,	,	PUNCT
ap-664	18	4	c	c	X
ap-664	18	5	,	,	PUNCT
ap-664	18	6	�	�	PROPN
ap-664	18	7	are	be	AUX
ap-664	18	8	constant	constant	ADJ
ap-664	18	9	in	in	ADP
ap-664	18	10	the	the	DET
ap-664	18	11	considered	consider	VERB
ap-664	18	12	range	range	NOUN
ap-664	18	13	of	of	ADP
ap-664	18	14	temperatures	temperature	NOUN
ap-664	18	15	(	(	PUNCT
ap-664	18	16	approximately	approximately	ADV
ap-664	18	17	300–1000	300–1000	NUM
ap-664	18	18	k	k	NOUN
ap-664	18	19	)	)	PUNCT
ap-664	18	20	and	and	CCONJ
ap-664	18	21	the	the	DET
ap-664	18	22	tension	tension	NOUN
ap-664	18	23	stress	stress	NOUN
ap-664	18	24	in	in	ADP
ap-664	18	25	the	the	DET
ap-664	18	26	material	material	NOUN
ap-664	18	27	does	do	AUX
ap-664	18	28	not	not	PART
ap-664	18	29	exceed	exceed	VERB
ap-664	18	30	the	the	DET
ap-664	18	31	proportional	proportional	ADJ
ap-664	18	32	limit	limit	NOUN
ap-664	18	33	.	.	PUNCT
ap-664	19	1	no	no	DET
ap-664	19	2	external	external	ADJ
ap-664	19	3	forces	force	NOUN
ap-664	19	4	affect	affect	VERB
ap-664	19	5	the	the	DET
ap-664	19	6	body	body	NOUN
ap-664	19	7	and	and	CCONJ
ap-664	19	8	no	no	DET
ap-664	19	9	uncontrolled	uncontrolled	ADJ
ap-664	19	10	heat	heat	NOUN
ap-664	19	11	transfer	transfer	NOUN
ap-664	19	12	occurs	occur	VERB
ap-664	19	13	between	between	ADP
ap-664	19	14	the	the	DET
ap-664	19	15	cylinder	cylinder	NOUN
ap-664	19	16	and	and	CCONJ
ap-664	19	17	the	the	DET
ap-664	19	18	environment	environment	NOUN
ap-664	19	19	(	(	PUNCT
ap-664	19	20	fig	fig	NOUN
ap-664	19	21	.	.	PUNCT
ap-664	19	22	2	2	NUM
ap-664	19	23	)	)	PUNCT
ap-664	19	24	.	.	PUNCT
ap-664	20	1	for	for	ADP
ap-664	20	2	the	the	DET
ap-664	20	3	parameters	parameter	NOUN
ap-664	20	4	considered	consider	VERB
ap-664	20	5	,	,	PUNCT
ap-664	20	6	the	the	DET
ap-664	20	7	elastic	elastic	ADJ
ap-664	20	8	deformation	deformation	NOUN
ap-664	20	9	of	of	ADP
ap-664	20	10	the	the	DET
ap-664	20	11	body	body	NOUN
ap-664	20	12	originating	originate	VERB
ap-664	20	13	from	from	ADP
ap-664	20	14	centrifugal	centrifugal	ADJ
ap-664	20	15	forces	force	NOUN
ap-664	20	16	is	be	AUX
ap-664	20	17	very	very	ADV
ap-664	20	18	small	small	ADJ
ap-664	20	19	in	in	ADP
ap-664	20	20	comparison	comparison	NOUN
ap-664	20	21	with	with	ADP
ap-664	20	22	the	the	DET
ap-664	20	23	thermal	thermal	ADJ
ap-664	20	24	expansion	expansion	NOUN
ap-664	20	25	,	,	PUNCT
ap-664	20	26	and	and	CCONJ
ap-664	20	27	therefore	therefore	ADV
ap-664	20	28	its	its	PRON
ap-664	20	29	dependence	dependence	NOUN
ap-664	20	30	on	on	ADP
ap-664	20	31	angular	angular	ADJ
ap-664	20	32	velocity	velocity	NOUN
ap-664	20	33	is	be	AUX
ap-664	20	34	neglected	neglect	VERB
ap-664	20	35	.	.	PUNCT
ap-664	21	1	3	3	NUM
ap-664	21	2	mathematical	mathematical	ADJ
ap-664	21	3	treatment	treatment	NOUN
ap-664	21	4	it	it	PRON
ap-664	21	5	is	be	AUX
ap-664	21	6	supposed	suppose	VERB
ap-664	21	7	that	that	SCONJ
ap-664	21	8	a	a	DET
ap-664	21	9	quantity	quantity	NOUN
ap-664	21	10	of	of	ADP
ap-664	21	11	heat	heat	NOUN
ap-664	21	12	�	�	PROPN
ap-664	21	13	q	q	PUNCT
ap-664	21	14	is	be	AUX
ap-664	21	15	transferred	transfer	VERB
ap-664	21	16	into	into	ADP
ap-664	21	17	or	or	CCONJ
ap-664	21	18	out	out	ADP
ap-664	21	19	of	of	ADP
ap-664	21	20	a	a	DET
ap-664	21	21	rotating	rotate	VERB
ap-664	21	22	body	body	NOUN
ap-664	21	23	(	(	PUNCT
ap-664	21	24	for	for	ADP
ap-664	21	25	instance	instance	NOUN
ap-664	21	26	by	by	ADP
ap-664	21	27	radiation	radiation	NOUN
ap-664	21	28	,	,	PUNCT
ap-664	21	29	see	see	VERB
ap-664	21	30	fig	fig	NOUN
ap-664	21	31	.	.	PUNCT
ap-664	22	1	2	2	NUM
ap-664	22	2	)	)	PUNCT
ap-664	22	3	.	.	PUNCT
ap-664	23	1	a	a	DET
ap-664	23	2	mathematical	mathematical	ADJ
ap-664	23	3	description	description	NOUN
ap-664	23	4	of	of	ADP
ap-664	23	5	the	the	DET
ap-664	23	6	consecutive	consecutive	ADJ
ap-664	23	7	behaviour	behaviour	NOUN
ap-664	23	8	of	of	ADP
ap-664	23	9	the	the	DET
ap-664	23	10	body	body	NOUN
ap-664	23	11	follows	follow	VERB
ap-664	23	12	.	.	PUNCT
ap-664	24	1	©	©	PROPN
ap-664	24	2	czech	czech	PROPN
ap-664	24	3	technical	technical	PROPN
ap-664	24	4	university	university	PROPN
ap-664	24	5	publishing	publishing	NOUN
ap-664	24	6	house	house	NOUN
ap-664	24	7	e	e	PROPN
ap-664	24	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-664	24	9	19	19	NUM
ap-664	24	10	czech	czech	PROPN
ap-664	24	11	technical	technical	PROPN
ap-664	24	12	university	university	PROPN
ap-664	24	13	in	in	ADP
ap-664	24	14	prague	prague	PROPN
ap-664	24	15	acta	acta	PROPN
ap-664	24	16	polytechnica	polytechnica	PROPN
ap-664	24	17	vol	vol	NOUN
ap-664	24	18	.	.	PROPN
ap-664	25	1	45	45	NUM
ap-664	25	2	no	no	NOUN
ap-664	25	3	.	.	PUNCT
ap-664	26	1	1/2005	1/2005	NUM
ap-664	26	2	heating	heating	NOUN
ap-664	26	3	and	and	CCONJ
ap-664	26	4	cooling	cool	VERB
ap-664	26	5	anomaly	anomaly	NOUN
ap-664	26	6	of	of	ADP
ap-664	26	7	a	a	DET
ap-664	26	8	rotating	rotate	VERB
ap-664	26	9	body	body	NOUN
ap-664	26	10	o.	o.	NOUN
ap-664	26	11	brůha	brůha	PROPN
ap-664	26	12	,	,	PUNCT
ap-664	26	13	t.	t.	PROPN
ap-664	26	14	brůha	brůha	VERB
ap-664	26	15	this	this	DET
ap-664	26	16	paper	paper	NOUN
ap-664	26	17	deals	deal	NOUN
ap-664	26	18	with	with	ADP
ap-664	26	19	an	an	DET
ap-664	26	20	effect	effect	NOUN
ap-664	26	21	which	which	PRON
ap-664	26	22	appears	appear	VERB
ap-664	26	23	when	when	SCONJ
ap-664	26	24	heating	heating	NOUN
ap-664	26	25	or	or	CCONJ
ap-664	26	26	cooling	cool	VERB
ap-664	26	27	a	a	DET
ap-664	26	28	rotating	rotate	VERB
ap-664	26	29	body	body	NOUN
ap-664	26	30	.	.	PUNCT
ap-664	27	1	no	no	DET
ap-664	27	2	external	external	ADJ
ap-664	27	3	forces	force	NOUN
ap-664	27	4	acting	act	VERB
ap-664	27	5	on	on	ADP
ap-664	27	6	the	the	DET
ap-664	27	7	body	body	NOUN
ap-664	27	8	are	be	AUX
ap-664	27	9	supposed	suppose	VERB
ap-664	27	10	.	.	PUNCT
ap-664	28	1	due	due	ADP
ap-664	28	2	to	to	ADP
ap-664	28	3	thermal	thermal	ADJ
ap-664	28	4	expansion	expansion	NOUN
ap-664	28	5	,	,	PUNCT
ap-664	28	6	the	the	DET
ap-664	28	7	moment	moment	NOUN
ap-664	28	8	of	of	ADP
ap-664	28	9	inertia	inertia	NOUN
ap-664	28	10	of	of	ADP
ap-664	28	11	the	the	DET
ap-664	28	12	body	body	NOUN
ap-664	28	13	varies	vary	VERB
ap-664	28	14	together	together	ADV
ap-664	28	15	with	with	ADP
ap-664	28	16	the	the	DET
ap-664	28	17	temperature	temperature	NOUN
ap-664	28	18	changes	change	NOUN
ap-664	28	19	.	.	PUNCT
ap-664	29	1	in	in	ADP
ap-664	29	2	agreement	agreement	NOUN
ap-664	29	3	with	with	ADP
ap-664	29	4	the	the	DET
ap-664	29	5	principle	principle	NOUN
ap-664	29	6	of	of	ADP
ap-664	29	7	conservation	conservation	NOUN
ap-664	29	8	of	of	ADP
ap-664	29	9	angular	angular	ADJ
ap-664	29	10	momentum	momentum	NOUN
ap-664	29	11	[	[	X
ap-664	29	12	1	1	NUM
ap-664	29	13	]	]	PUNCT
ap-664	29	14	,	,	PUNCT
ap-664	29	15	the	the	DET
ap-664	29	16	angular	angular	ADJ
ap-664	29	17	momentum	momentum	NOUN
ap-664	29	18	is	be	AUX
ap-664	29	19	constant	constant	ADJ
ap-664	29	20	.	.	PUNCT
ap-664	30	1	this	this	DET
ap-664	30	2	results	result	VERB
ap-664	30	3	in	in	ADP
ap-664	30	4	angular	angular	ADJ
ap-664	30	5	velocity	velocity	NOUN
ap-664	30	6	changes	change	NOUN
ap-664	30	7	and	and	CCONJ
ap-664	30	8	subsequently	subsequently	ADV
ap-664	30	9	in	in	ADP
ap-664	30	10	kinetic	kinetic	ADJ
ap-664	30	11	energy	energy	NOUN
ap-664	30	12	changes	change	NOUN
ap-664	30	13	.	.	PUNCT
ap-664	31	1	also	also	ADV
ap-664	31	2	the	the	DET
ap-664	31	3	stress	stress	NOUN
ap-664	31	4	energy	energy	NOUN
ap-664	31	5	varies	vary	VERB
ap-664	31	6	together	together	ADV
ap-664	31	7	with	with	ADP
ap-664	31	8	the	the	DET
ap-664	31	9	changes	change	NOUN
ap-664	31	10	in	in	ADP
ap-664	31	11	thermal	thermal	ADJ
ap-664	31	12	dimension	dimension	NOUN
ap-664	31	13	.	.	PUNCT
ap-664	32	1	to	to	PART
ap-664	32	2	satisfy	satisfy	VERB
ap-664	32	3	the	the	DET
ap-664	32	4	principle	principle	NOUN
ap-664	32	5	of	of	ADP
ap-664	32	6	energy	energy	NOUN
ap-664	32	7	conservation	conservation	NOUN
ap-664	32	8	we	we	PRON
ap-664	32	9	have	have	VERB
ap-664	32	10	to	to	PART
ap-664	32	11	suppose	suppose	VERB
ap-664	32	12	that	that	SCONJ
ap-664	32	13	the	the	DET
ap-664	32	14	changes	change	NOUN
ap-664	32	15	in	in	ADP
ap-664	32	16	kinetic	kinetic	ADJ
ap-664	32	17	and	and	CCONJ
ap-664	32	18	stress	stress	NOUN
ap-664	32	19	energy	energy	NOUN
ap-664	32	20	are	be	AUX
ap-664	32	21	compensated	compensate	VERB
ap-664	32	22	by	by	ADP
ap-664	32	23	the	the	DET
ap-664	32	24	changes	change	NOUN
ap-664	32	25	in	in	ADP
ap-664	32	26	internal	internal	ADJ
ap-664	32	27	energy	energy	NOUN
ap-664	32	28	,	,	PUNCT
ap-664	32	29	which	which	PRON
ap-664	32	30	is	be	AUX
ap-664	32	31	correlated	correlate	VERB
ap-664	32	32	with	with	ADP
ap-664	32	33	temperature	temperature	NOUN
ap-664	32	34	changes	change	NOUN
ap-664	32	35	of	of	ADP
ap-664	32	36	the	the	DET
ap-664	32	37	body	body	NOUN
ap-664	32	38	.	.	PUNCT
ap-664	33	1	this	this	PRON
ap-664	33	2	means	mean	VERB
ap-664	33	3	that	that	SCONJ
ap-664	33	4	the	the	DET
ap-664	33	5	rules	rule	NOUN
ap-664	33	6	for	for	ADP
ap-664	33	7	the	the	DET
ap-664	33	8	heating	heating	NOUN
ap-664	33	9	or	or	CCONJ
ap-664	33	10	cooling	cool	VERB
ap-664	33	11	process	process	NOUN
ap-664	33	12	of	of	ADP
ap-664	33	13	a	a	DET
ap-664	33	14	rotating	rotate	VERB
ap-664	33	15	body	body	NOUN
ap-664	33	16	are	be	AUX
ap-664	33	17	not	not	PART
ap-664	33	18	the	the	DET
ap-664	33	19	same	same	ADJ
ap-664	33	20	as	as	ADP
ap-664	33	21	those	those	PRON
ap-664	33	22	for	for	ADP
ap-664	33	23	a	a	DET
ap-664	33	24	body	body	NOUN
ap-664	33	25	at	at	ADP
ap-664	33	26	rest	rest	NOUN
ap-664	33	27	.	.	PUNCT
ap-664	34	1	this	this	DET
ap-664	34	2	idea	idea	NOUN
ap-664	34	3	,	,	PUNCT
ap-664	34	4	applied	apply	VERB
ap-664	34	5	to	to	ADP
ap-664	34	6	a	a	DET
ap-664	34	7	cylinder	cylinder	NOUN
ap-664	34	8	rotating	rotate	VERB
ap-664	34	9	around	around	ADP
ap-664	34	10	its	its	PRON
ap-664	34	11	geometric	geometric	ADJ
ap-664	34	12	axis	axis	NOUN
ap-664	34	13	under	under	ADP
ap-664	34	14	specific	specific	ADJ
ap-664	34	15	parameters	parameter	NOUN
ap-664	34	16	,	,	PUNCT
ap-664	34	17	has	have	AUX
ap-664	34	18	been	be	AUX
ap-664	34	19	mathematically	mathematically	ADV
ap-664	34	20	treated	treat	VERB
ap-664	34	21	.	.	PUNCT
ap-664	35	1	as	as	ADP
ap-664	35	2	a	a	DET
ap-664	35	3	result	result	NOUN
ap-664	35	4	,	,	PUNCT
ap-664	35	5	the	the	DET
ap-664	35	6	difference	difference	NOUN
ap-664	35	7	between	between	ADP
ap-664	35	8	the	the	DET
ap-664	35	9	final	final	ADJ
ap-664	35	10	temperature	temperature	NOUN
ap-664	35	11	of	of	ADP
ap-664	35	12	the	the	DET
ap-664	35	13	rotating	rotate	VERB
ap-664	35	14	cylinder	cylinder	NOUN
ap-664	35	15	and	and	CCONJ
ap-664	35	16	the	the	DET
ap-664	35	17	temperature	temperature	NOUN
ap-664	35	18	of	of	ADP
ap-664	35	19	the	the	DET
ap-664	35	20	cylinder	cylinder	NOUN
ap-664	35	21	at	at	ADP
ap-664	35	22	rest	rest	NOUN
ap-664	35	23	has	have	AUX
ap-664	35	24	been	be	AUX
ap-664	35	25	found	find	VERB
ap-664	35	26	.	.	PUNCT
ap-664	36	1	keywords	keyword	NOUN
ap-664	36	2	:	:	PUNCT
ap-664	36	3	angular	angular	ADJ
ap-664	36	4	momentum	momentum	NOUN
ap-664	36	5	,	,	PUNCT
ap-664	36	6	energy	energy	NOUN
ap-664	36	7	conservation	conservation	NOUN
ap-664	36	8	,	,	PUNCT
ap-664	36	9	rotating	rotate	VERB
ap-664	36	10	body	body	NOUN
ap-664	36	11	,	,	PUNCT
ap-664	36	12	thermal	thermal	ADJ
ap-664	36	13	expansion	expansion	NOUN
ap-664	36	14	.	.	PUNCT
ap-664	37	1	�	�	PROPN
ap-664	37	2	c	c	PROPN
ap-664	37	3	,	,	PUNCT
ap-664	37	4	e	e	NOUN
ap-664	37	5	,	,	PUNCT
ap-664	37	6	,	,	PUNCT
ap-664	37	7	,	,	PUNCT
ap-664	37	8	�	�	PROPN
ap-664	37	9	�	�	PROPN
ap-664	37	10	�	�	PROPN
ap-664	37	11	r	r	NOUN
ap-664	37	12	h	h	NOUN
ap-664	37	13	fig	fig	NOUN
ap-664	37	14	.	.	PUNCT
ap-664	38	1	1	1	NUM
ap-664	38	2	:	:	PUNCT
ap-664	38	3	a	a	DET
ap-664	38	4	rotating	rotate	VERB
ap-664	38	5	cylinder	cylinder	NOUN
ap-664	38	6	and	and	CCONJ
ap-664	38	7	its	its	PRON
ap-664	38	8	parameters	parameter	NOUN
ap-664	38	9	basic	basic	ADJ
ap-664	38	10	relations	relation	NOUN
ap-664	38	11	moment	moment	NOUN
ap-664	38	12	of	of	ADP
ap-664	38	13	inertia	inertia	NOUN
ap-664	38	14	of	of	ADP
ap-664	38	15	the	the	DET
ap-664	38	16	cylinder	cylinder	NOUN
ap-664	38	17	j	j	PROPN
ap-664	38	18	mr	mr	PROPN
ap-664	38	19	�	�	PROPN
ap-664	38	20	1	1	NUM
ap-664	38	21	2	2	NUM
ap-664	38	22	2	2	NUM
ap-664	38	23	.	.	PUNCT
ap-664	39	1	(	(	PUNCT
ap-664	39	2	1	1	X
ap-664	39	3	)	)	PUNCT
ap-664	39	4	rotational	rotational	ADJ
ap-664	39	5	kinetic	kinetic	ADJ
ap-664	39	6	energy	energy	NOUN
ap-664	39	7	of	of	ADP
ap-664	39	8	the	the	DET
ap-664	39	9	cylinder	cylinder	NOUN
ap-664	39	10	e	e	PROPN
ap-664	39	11	jk	jk	PROPN
ap-664	39	12	�	�	PROPN
ap-664	39	13	1	1	NUM
ap-664	39	14	2	2	NUM
ap-664	39	15	2	2	NUM
ap-664	39	16	�	�	NOUN
ap-664	39	17	.	.	PUNCT
ap-664	40	1	(	(	PUNCT
ap-664	40	2	2	2	X
ap-664	40	3	)	)	PUNCT
ap-664	40	4	angular	angular	ADJ
ap-664	40	5	momentum	momentum	NOUN
ap-664	40	6	b	b	PROPN
ap-664	40	7	j	j	PROPN
ap-664	40	8	�	�	PROPN
ap-664	40	9	�	�	PROPN
ap-664	40	10	�	�	PROPN
ap-664	40	11	const	const	PROPN
ap-664	40	12	.	.	PUNCT
ap-664	41	1	(	(	PUNCT
ap-664	41	2	if	if	SCONJ
ap-664	41	3	the	the	DET
ap-664	41	4	external	external	ADJ
ap-664	41	5	torque	torque	NOUN
ap-664	41	6	is	be	AUX
ap-664	41	7	zero	zero	NUM
ap-664	41	8	)	)	PUNCT
ap-664	42	1	[	[	X
ap-664	42	2	1	1	NUM
ap-664	42	3	]	]	PUNCT
ap-664	42	4	,	,	PUNCT
ap-664	42	5	[	[	X
ap-664	42	6	2	2	NUM
ap-664	42	7	]	]	PUNCT
ap-664	42	8	(	(	PUNCT
ap-664	42	9	3	3	X
ap-664	42	10	)	)	PUNCT
ap-664	42	11	the	the	DET
ap-664	42	12	linear	linear	ADJ
ap-664	42	13	coefficient	coefficient	NOUN
ap-664	42	14	of	of	ADP
ap-664	42	15	thermal	thermal	ADJ
ap-664	42	16	expansion	expansion	NOUN
ap-664	42	17	is	be	AUX
ap-664	42	18	defined	define	VERB
ap-664	42	19	generally	generally	ADV
ap-664	42	20	as	as	SCONJ
ap-664	42	21	:	:	PUNCT
ap-664	42	22	�	�	PROPN
ap-664	42	23	�	�	PROPN
ap-664	42	24	1	1	NUM
ap-664	42	25	0x	0x	NOUN
ap-664	42	26	x	x	SYM
ap-664	42	27	t	t	NOUN
ap-664	42	28	d	d	PROPN
ap-664	42	29	d	d	PROPN
ap-664	42	30	,	,	PUNCT
ap-664	42	31	(	(	PUNCT
ap-664	42	32	4	4	X
ap-664	42	33	)	)	PUNCT
ap-664	42	34	where	where	SCONJ
ap-664	42	35	x0	x0	PROPN
ap-664	42	36	is	be	AUX
ap-664	42	37	initial	initial	ADJ
ap-664	42	38	length	length	NOUN
ap-664	42	39	and	and	CCONJ
ap-664	42	40	dt	dt	PROPN
ap-664	42	41	is	be	AUX
ap-664	42	42	temperature	temperature	NOUN
ap-664	42	43	change	change	NOUN
ap-664	42	44	.	.	PUNCT
ap-664	43	1	for	for	ADP
ap-664	43	2	better	well	ADJ
ap-664	43	3	mathematical	mathematical	ADJ
ap-664	43	4	access	access	NOUN
ap-664	43	5	another	another	DET
ap-664	43	6	definition	definition	NOUN
ap-664	43	7	was	be	AUX
ap-664	43	8	used	use	VERB
ap-664	43	9	,	,	PUNCT
ap-664	43	10	namely	namely	ADV
ap-664	43	11	:	:	PUNCT
ap-664	43	12	�	�	PROPN
ap-664	43	13	�	�	PROPN
ap-664	43	14	1	1	NUM
ap-664	43	15	x	x	SYM
ap-664	43	16	x	x	SYM
ap-664	43	17	t	t	NOUN
ap-664	43	18	d	d	X
ap-664	43	19	d	d	PROPN
ap-664	43	20	,	,	PUNCT
ap-664	43	21	(	(	PUNCT
ap-664	43	22	4a	4a	NOUN
ap-664	43	23	)	)	PUNCT
ap-664	43	24	where	where	SCONJ
ap-664	43	25	x	x	PRON
ap-664	43	26	is	be	AUX
ap-664	43	27	variable	variable	ADJ
ap-664	43	28	.	.	PUNCT
ap-664	44	1	relations	relation	NOUN
ap-664	44	2	(	(	PUNCT
ap-664	44	3	4	4	NUM
ap-664	44	4	)	)	PUNCT
ap-664	44	5	and	and	CCONJ
ap-664	44	6	(	(	PUNCT
ap-664	44	7	4a	4a	NUM
ap-664	44	8	)	)	PUNCT
ap-664	44	9	result	result	NOUN
ap-664	44	10	in	in	ADP
ap-664	44	11	practically	practically	ADV
ap-664	44	12	the	the	DET
ap-664	44	13	same	same	ADJ
ap-664	44	14	values	value	NOUN
ap-664	44	15	for	for	ADP
ap-664	44	16	the	the	DET
ap-664	44	17	parameters	parameter	NOUN
ap-664	44	18	used	use	VERB
ap-664	44	19	.	.	PUNCT
ap-664	45	1	(	(	PUNCT
ap-664	45	2	for	for	ADP
ap-664	45	3	�	�	PROPN
ap-664	45	4	t	t	PROPN
ap-664	45	5	�	�	PROPN
ap-664	45	6	700	700	NUM
ap-664	45	7	k	k	PROPN
ap-664	45	8	and	and	CCONJ
ap-664	45	9	�	�	PROPN
ap-664	45	10	�	�	PROPN
ap-664	45	11	�	�	PROPN
ap-664	45	12	�	�	PROPN
ap-664	45	13	16	16	NUM
ap-664	45	14	10	10	NUM
ap-664	45	15	6	6	NUM
ap-664	45	16	k	k	X
ap-664	45	17	�	�	PROPN
ap-664	45	18	1	1	NUM
ap-664	45	19	,	,	PUNCT
ap-664	45	20	the	the	DET
ap-664	45	21	difference	difference	NOUN
ap-664	45	22	in	in	ADP
ap-664	45	23	�	�	NOUN
ap-664	45	24	x	x	PUNCT
ap-664	45	25	calculated	calculate	VERB
ap-664	45	26	according	accord	VERB
ap-664	45	27	to	to	ADP
ap-664	45	28	(	(	PUNCT
ap-664	45	29	4a	4a	NUM
ap-664	45	30	)	)	PUNCT
ap-664	45	31	or	or	CCONJ
ap-664	45	32	according	accord	VERB
ap-664	45	33	to	to	ADP
ap-664	45	34	(	(	PUNCT
ap-664	45	35	4	4	NUM
ap-664	45	36	)	)	PUNCT
ap-664	45	37	is	be	AUX
ap-664	45	38	only	only	ADV
ap-664	45	39	0.0089	0.0089	NUM
ap-664	45	40	�	�	NOUN
ap-664	45	41	x.	x.	NOUN
ap-664	45	42	)	)	PUNCT
ap-664	45	43	using	use	VERB
ap-664	45	44	relations	relation	NOUN
ap-664	45	45	(	(	PUNCT
ap-664	45	46	1	1	NUM
ap-664	45	47	)	)	PUNCT
ap-664	45	48	and	and	CCONJ
ap-664	45	49	(	(	PUNCT
ap-664	45	50	2	2	X
ap-664	45	51	)	)	PUNCT
ap-664	45	52	we	we	PRON
ap-664	45	53	can	can	AUX
ap-664	45	54	express	express	VERB
ap-664	45	55	the	the	DET
ap-664	45	56	rotational	rotational	ADJ
ap-664	45	57	kinetic	kinetic	ADJ
ap-664	45	58	energy	energy	NOUN
ap-664	45	59	of	of	ADP
ap-664	45	60	the	the	DET
ap-664	45	61	cylinder	cylinder	NOUN
ap-664	45	62	(	(	PUNCT
ap-664	45	63	see	see	VERB
ap-664	45	64	fig	fig	NOUN
ap-664	45	65	.	.	PUNCT
ap-664	46	1	1	1	NUM
ap-664	46	2	.	.	PUNCT
ap-664	46	3	)	)	PUNCT
ap-664	47	1	e	e	X
ap-664	47	2	h	h	PRON
ap-664	47	3	rk	rk	VERB
ap-664	47	4	�	�	PROPN
ap-664	47	5	1	1	NUM
ap-664	47	6	4	4	NUM
ap-664	47	7	4	4	NUM
ap-664	47	8	2	2	NUM
ap-664	47	9	�	�	PROPN
ap-664	47	10	�	�	PROPN
ap-664	47	11	�	�	PROPN
ap-664	47	12	.	.	PUNCT
ap-664	48	1	(	(	PUNCT
ap-664	48	2	5	5	NUM
ap-664	48	3	)	)	PUNCT
ap-664	48	4	for	for	ADP
ap-664	48	5	r(t	r(t	NOUN
ap-664	48	6	)	)	PUNCT
ap-664	48	7	and	and	CCONJ
ap-664	48	8	h(t	h(t	PROPN
ap-664	48	9	)	)	PUNCT
ap-664	48	10	as	as	ADP
ap-664	48	11	functions	function	NOUN
ap-664	48	12	of	of	ADP
ap-664	48	13	temperature	temperature	NOUN
ap-664	48	14	we	we	PRON
ap-664	48	15	obtain	obtain	VERB
ap-664	48	16	from	from	ADP
ap-664	48	17	definition	definition	NOUN
ap-664	48	18	(	(	PUNCT
ap-664	48	19	4	4	NUM
ap-664	48	20	):	):	PUNCT
ap-664	48	21	r	r	NOUN
ap-664	48	22	t	t	NOUN
ap-664	48	23	r	r	NOUN
ap-664	48	24	e	e	PROPN
ap-664	48	25	t	t	PROPN
ap-664	48	26	(	(	PUNCT
ap-664	48	27	)	)	PUNCT
ap-664	48	28	�	�	PROPN
ap-664	48	29	0	0	NUM
ap-664	48	30	�	�	PROPN
ap-664	48	31	�	�	PROPN
ap-664	48	32	,	,	PUNCT
ap-664	48	33	(	(	PUNCT
ap-664	48	34	6	6	X
ap-664	48	35	)	)	PUNCT
ap-664	48	36	h	h	NOUN
ap-664	49	1	t	t	NOUN
ap-664	49	2	h	h	NOUN
ap-664	49	3	e	e	PROPN
ap-664	49	4	t	t	PROPN
ap-664	49	5	(	(	PUNCT
ap-664	49	6	)	)	PUNCT
ap-664	49	7	�	�	PROPN
ap-664	49	8	0	0	NUM
ap-664	49	9	�	�	PROPN
ap-664	49	10	�	�	PROPN
ap-664	49	11	,	,	PUNCT
ap-664	49	12	(	(	PUNCT
ap-664	49	13	7	7	X
ap-664	49	14	)	)	PUNCT
ap-664	49	15	where	where	SCONJ
ap-664	49	16	�	�	PROPN
ap-664	49	17	t	t	PROPN
ap-664	49	18	t	t	PROPN
ap-664	49	19	t	t	PROPN
ap-664	49	20	�	�	PROPN
ap-664	49	21	�	�	PROPN
ap-664	49	22	0	0	NUM
ap-664	49	23	.	.	PUNCT
ap-664	50	1	density	density	PROPN
ap-664	50	2	�	�	PROPN
ap-664	50	3	(	(	PUNCT
ap-664	50	4	t	t	PROPN
ap-664	50	5	)	)	PUNCT
ap-664	50	6	and	and	CCONJ
ap-664	50	7	angular	angular	ADJ
ap-664	50	8	velocity	velocity	NOUN
ap-664	50	9	�	�	PROPN
ap-664	50	10	(	(	PUNCT
ap-664	50	11	t	t	PROPN
ap-664	50	12	)	)	PUNCT
ap-664	50	13	as	as	SCONJ
ap-664	50	14	functions	function	NOUN
ap-664	50	15	of	of	ADP
ap-664	50	16	temperature	temperature	NOUN
ap-664	50	17	can	can	AUX
ap-664	50	18	be	be	AUX
ap-664	50	19	expressed	express	VERB
ap-664	50	20	in	in	ADP
ap-664	50	21	a	a	DET
ap-664	50	22	similar	similar	ADJ
ap-664	50	23	way	way	NOUN
ap-664	50	24	(	(	PUNCT
ap-664	50	25	see	see	VERB
ap-664	50	26	appendix	appendix	NOUN
ap-664	50	27	,	,	PUNCT
ap-664	50	28	items	item	NOUN
ap-664	50	29	1	1	NUM
ap-664	50	30	.	.	PUNCT
ap-664	50	31	and	and	CCONJ
ap-664	50	32	2	2	NUM
ap-664	50	33	.	.	PUNCT
ap-664	50	34	)	)	PUNCT
ap-664	50	35	�	�	PROPN
ap-664	50	36	�	�	PROPN
ap-664	50	37	(	(	PUNCT
ap-664	50	38	)	)	PUNCT
ap-664	50	39	t	t	PROPN
ap-664	50	40	e	e	PROPN
ap-664	50	41	t	t	PROPN
ap-664	50	42	�	�	PROPN
ap-664	50	43	�	�	PROPN
ap-664	50	44	0	0	NUM
ap-664	50	45	3	3	NUM
ap-664	50	46	�	�	PROPN
ap-664	50	47	�	�	PROPN
ap-664	50	48	,	,	PUNCT
ap-664	50	49	(	(	PUNCT
ap-664	50	50	8)	8)	NUM
ap-664	50	51	�	�	PROPN
ap-664	50	52	�	�	PROPN
ap-664	50	53	(	(	PUNCT
ap-664	50	54	)	)	PUNCT
ap-664	50	55	t	t	PROPN
ap-664	50	56	e	e	PROPN
ap-664	50	57	t	t	PROPN
ap-664	50	58	�	�	PROPN
ap-664	50	59	�	�	PROPN
ap-664	50	60	0	0	NUM
ap-664	50	61	2	2	NUM
ap-664	50	62	�	�	PROPN
ap-664	50	63	�	�	PROPN
ap-664	50	64	.	.	PUNCT
ap-664	51	1	(	(	PUNCT
ap-664	51	2	9	9	X
ap-664	51	3	)	)	PUNCT
ap-664	51	4	substituting	substitute	VERB
ap-664	51	5	relations	relation	NOUN
ap-664	51	6	(	(	PUNCT
ap-664	51	7	6	6	NUM
ap-664	51	8	)	)	PUNCT
ap-664	51	9	,	,	PUNCT
ap-664	51	10	(	(	PUNCT
ap-664	51	11	7	7	NUM
ap-664	51	12	)	)	PUNCT
ap-664	51	13	,	,	PUNCT
ap-664	51	14	(	(	PUNCT
ap-664	51	15	8)	8)	NUM
ap-664	51	16	and	and	CCONJ
ap-664	51	17	(	(	PUNCT
ap-664	51	18	9	9	NUM
ap-664	51	19	)	)	PUNCT
ap-664	51	20	in	in	ADP
ap-664	51	21	(	(	PUNCT
ap-664	51	22	5	5	X
ap-664	51	23	)	)	PUNCT
ap-664	51	24	we	we	PRON
ap-664	51	25	obtain	obtain	VERB
ap-664	51	26	an	an	DET
ap-664	51	27	expression	expression	NOUN
ap-664	51	28	for	for	ADP
ap-664	51	29	rotational	rotational	ADJ
ap-664	51	30	kinetic	kinetic	ADJ
ap-664	51	31	energy	energy	NOUN
ap-664	51	32	as	as	ADP
ap-664	51	33	a	a	DET
ap-664	51	34	function	function	NOUN
ap-664	51	35	of	of	ADP
ap-664	51	36	temperature	temperature	NOUN
ap-664	52	1	e	e	NOUN
ap-664	52	2	t	t	NOUN
ap-664	52	3	r	r	NOUN
ap-664	52	4	h	h	NOUN
ap-664	52	5	e	e	X
ap-664	52	6	e	e	X
ap-664	52	7	et	et	PROPN
ap-664	52	8	t	t	PROPN
ap-664	52	9	k	k	PROPN
ap-664	52	10	k0	k0	PROPN
ap-664	52	11	(	(	PUNCT
ap-664	52	12	)	)	PUNCT
ap-664	52	13	�	�	PROPN
ap-664	52	14	�	�	PROPN
ap-664	52	15	�	�	PROPN
ap-664	52	16	�	�	PROPN
ap-664	52	17	1	1	NUM
ap-664	52	18	4	4	NUM
ap-664	52	19	0	0	NUM
ap-664	52	20	4	4	NUM
ap-664	52	21	2	2	NUM
ap-664	52	22	0	0	NUM
ap-664	52	23	0	0	NUM
ap-664	52	24	2	2	NUM
ap-664	52	25	2	2	NUM
ap-664	52	26	�	�	PROPN
ap-664	52	27	�	�	PROPN
ap-664	52	28	�	�	PROPN
ap-664	52	29	�	�	PROPN
ap-664	52	30	�	�	PROPN
ap-664	52	31	�	�	PROPN
ap-664	52	32	�	�	PROPN
ap-664	52	33	�	�	PROPN
ap-664	52	34	.	.	PUNCT
ap-664	53	1	(	(	PUNCT
ap-664	53	2	10	10	NUM
ap-664	53	3	)	)	PUNCT
ap-664	53	4	the	the	DET
ap-664	53	5	deformation	deformation	NOUN
ap-664	53	6	energy	energy	NOUN
ap-664	53	7	should	should	AUX
ap-664	53	8	also	also	ADV
ap-664	53	9	be	be	AUX
ap-664	53	10	taken	take	VERB
ap-664	53	11	into	into	ADP
ap-664	53	12	consideration	consideration	NOUN
ap-664	53	13	.	.	PUNCT
ap-664	54	1	the	the	DET
ap-664	54	2	total	total	ADJ
ap-664	54	3	deformation	deformation	NOUN
ap-664	54	4	energy	energy	NOUN
ap-664	54	5	corresponding	correspond	VERB
ap-664	54	6	to	to	ADP
ap-664	54	7	the	the	DET
ap-664	54	8	centrifugal	centrifugal	ADJ
ap-664	54	9	forces	force	NOUN
ap-664	54	10	in	in	ADP
ap-664	54	11	a	a	DET
ap-664	54	12	rotating	rotate	VERB
ap-664	54	13	cylinder	cylinder	NOUN
ap-664	54	14	is	be	AUX
ap-664	54	15	(	(	PUNCT
ap-664	54	16	see	see	VERB
ap-664	54	17	appendix	appendix	NOUN
ap-664	54	18	,	,	PUNCT
ap-664	54	19	item	item	NOUN
ap-664	54	20	3	3	NUM
ap-664	54	21	.	.	PUNCT
ap-664	54	22	)	)	PUNCT
ap-664	55	1	e	e	X
ap-664	55	2	r	r	NOUN
ap-664	55	3	h	h	PRON
ap-664	55	4	�	�	PROPN
ap-664	55	5	�	�	PROPN
ap-664	55	6	�	�	PROPN
ap-664	55	7	�	�	PROPN
ap-664	55	8	�	�	PROPN
ap-664	55	9	�	�	PROPN
ap-664	55	10	�	�	PROPN
ap-664	55	11	�	�	PROPN
ap-664	55	12	�	�	PROPN
ap-664	55	13	�	�	PROPN
ap-664	55	14	�	�	PROPN
ap-664	55	15	�	�	PROPN
ap-664	55	16	�	�	PROPN
ap-664	55	17	�	�	PROPN
ap-664	55	18	�	�	PROPN
ap-664	55	19	�	�	PROPN
ap-664	55	20	�	�	PROPN
ap-664	55	21	2	2	NUM
ap-664	55	22	4	4	NUM
ap-664	55	23	7	7	NUM
ap-664	55	24	2	2	NUM
ap-664	55	25	448	448	NUM
ap-664	55	26	2	2	NUM
ap-664	55	27	3	3	NUM
ap-664	55	28	2	2	NUM
ap-664	55	29	3	3	NUM
ap-664	55	30	3	3	NUM
ap-664	55	31	1	1	NUM
ap-664	55	32	3	3	NUM
ap-664	55	33	6	6	NUM
ap-664	55	34	e	e	X
ap-664	55	35	�	�	PROPN
ap-664	55	36	�	�	PROPN
ap-664	55	37	�	�	PROPN
ap-664	55	38	�	�	PROPN
ap-664	55	39	�	�	PROPN
ap-664	55	40	(	(	PUNCT
ap-664	55	41	)	)	PUNCT
ap-664	55	42	(	(	PUNCT
ap-664	55	43	)	)	PUNCT
ap-664	55	44	(	(	PUNCT
ap-664	55	45	)	)	PUNCT
ap-664	55	46	1	1	NUM
ap-664	55	47	2	2	NUM
ap-664	55	48	1	1	NUM
ap-664	55	49	6	6	NUM
ap-664	55	50	1	1	NUM
ap-664	55	51	3	3	NUM
ap-664	55	52	2	2	NUM
ap-664	55	53	�	�	PROPN
ap-664	55	54	�	�	PROPN
ap-664	55	55	�	�	PROPN
ap-664	55	56	�	�	PROPN
ap-664	55	57	�	�	PROPN
ap-664	55	58	�	�	PROPN
ap-664	55	59	�	�	PROPN
ap-664	55	60	�	�	PROPN
ap-664	55	61	(	(	PUNCT
ap-664	55	62	)	)	PUNCT
ap-664	55	63	.	.	PUNCT
ap-664	56	1	�	�	PROPN
ap-664	56	2	(	(	PUNCT
ap-664	56	3	11	11	NUM
ap-664	56	4	)	)	PUNCT
ap-664	56	5	substituting	substitute	VERB
ap-664	56	6	relations	relation	NOUN
ap-664	56	7	(	(	PUNCT
ap-664	56	8	6	6	NUM
ap-664	56	9	)	)	PUNCT
ap-664	56	10	,	,	PUNCT
ap-664	56	11	(	(	PUNCT
ap-664	56	12	7	7	NUM
ap-664	56	13	)	)	PUNCT
ap-664	56	14	,	,	PUNCT
ap-664	56	15	(	(	PUNCT
ap-664	56	16	8)	8)	NUM
ap-664	56	17	and	and	CCONJ
ap-664	56	18	(	(	PUNCT
ap-664	56	19	9	9	NUM
ap-664	56	20	)	)	PUNCT
ap-664	56	21	in	in	ADP
ap-664	56	22	(	(	PUNCT
ap-664	56	23	11	11	NUM
ap-664	56	24	)	)	PUNCT
ap-664	56	25	we	we	PRON
ap-664	56	26	obtain	obtain	VERB
ap-664	56	27	for	for	ADP
ap-664	56	28	deformation	deformation	NOUN
ap-664	56	29	energy	energy	NOUN
ap-664	56	30	as	as	ADP
ap-664	56	31	a	a	DET
ap-664	56	32	function	function	NOUN
ap-664	56	33	of	of	ADP
ap-664	56	34	temperature	temperature	NOUN
ap-664	56	35	:	:	PUNCT
ap-664	57	1	e	e	X
ap-664	57	2	t	t	NOUN
ap-664	57	3	r	r	NOUN
ap-664	57	4	h	h	NOUN
ap-664	57	5	e	e	PROPN
ap-664	57	6	t	t	PROPN
ap-664	57	7	�	�	PROPN
ap-664	57	8	�	�	PROPN
ap-664	57	9	�	�	PROPN
ap-664	57	10	�	�	PROPN
ap-664	57	11	(	(	PUNCT
ap-664	57	12	)	)	PUNCT
ap-664	57	13	(	(	PUNCT
ap-664	57	14	)	)	PUNCT
ap-664	57	15	(	(	PUNCT
ap-664	57	16	�	�	PROPN
ap-664	57	17	�	�	PROPN
ap-664	57	18	�	�	PROPN
ap-664	57	19	�	�	PROPN
ap-664	57	20	�	�	PROPN
ap-664	57	21	�	�	PROPN
ap-664	57	22	�	�	PROPN
ap-664	57	23	�	�	PROPN
ap-664	57	24	�	�	PROPN
ap-664	57	25	�	�	PROPN
ap-664	57	26	�	�	PROPN
ap-664	57	27	0	0	NUM
ap-664	57	28	2	2	NUM
ap-664	57	29	0	0	NUM
ap-664	57	30	4	4	NUM
ap-664	57	31	0	0	NUM
ap-664	57	32	7	7	NUM
ap-664	57	33	0	0	NUM
ap-664	57	34	6	6	NUM
ap-664	57	35	2	2	NUM
ap-664	57	36	448	448	NUM
ap-664	57	37	2	2	NUM
ap-664	57	38	3	3	NUM
ap-664	57	39	2	2	NUM
ap-664	57	40	3	3	NUM
ap-664	57	41	�	�	PROPN
ap-664	57	42	�	�	PROPN
ap-664	57	43	�	�	PROPN
ap-664	57	44	�	�	PROPN
ap-664	57	45	e	e	PROPN
ap-664	57	46	3	3	NUM
ap-664	57	47	1	1	NUM
ap-664	57	48	3	3	NUM
ap-664	57	49	6	6	NUM
ap-664	57	50	1	1	NUM
ap-664	57	51	2	2	NUM
ap-664	57	52	1	1	NUM
ap-664	57	53	6	6	NUM
ap-664	57	54	1	1	NUM
ap-664	57	55	3	3	NUM
ap-664	57	56	2	2	NUM
ap-664	57	57	0	0	NUM
ap-664	57	58	6	6	NUM
ap-664	57	59	�	�	PROPN
ap-664	57	60	�	�	PROPN
ap-664	57	61	�	�	PROPN
ap-664	57	62	�	�	PROPN
ap-664	57	63	�	�	PROPN
ap-664	57	64	�	�	PROPN
ap-664	57	65	�	�	PROPN
ap-664	57	66	�	�	PROPN
ap-664	57	67	�	�	PROPN
ap-664	57	68	�	�	PROPN
ap-664	57	69	�	�	PROPN
ap-664	57	70	�	�	PROPN
ap-664	57	71	�	�	PROPN
ap-664	57	72	�	�	PROPN
ap-664	57	73	�	�	PROPN
ap-664	57	74	�	�	PROPN
ap-664	57	75	�	�	PROPN
ap-664	57	76	�	�	PROPN
ap-664	57	77	)	)	PUNCT
ap-664	57	78	(	(	PUNCT
ap-664	57	79	)	)	PUNCT
ap-664	57	80	(	(	PUNCT
ap-664	57	81	)	)	PUNCT
ap-664	57	82	.e	.e	PUNCT
ap-664	58	1	e	e	PROPN
ap-664	58	2	t	t	PROPN
ap-664	58	3	�	�	PROPN
ap-664	58	4	�	�	PROPN
ap-664	58	5	(	(	PUNCT
ap-664	58	6	12	12	NUM
ap-664	58	7	)	)	PUNCT
ap-664	58	8	the	the	DET
ap-664	58	9	total	total	ADJ
ap-664	58	10	mechanical	mechanical	ADJ
ap-664	58	11	energy	energy	NOUN
ap-664	58	12	is	be	AUX
ap-664	58	13	e	e	NOUN
ap-664	58	14	t	t	NOUN
ap-664	58	15	e	e	PROPN
ap-664	58	16	t	t	PROPN
ap-664	58	17	e	e	PROPN
ap-664	58	18	t	t	PROPN
ap-664	58	19	�	�	PROPN
ap-664	58	20	�	�	PROPN
ap-664	58	21	(	(	PUNCT
ap-664	58	22	)	)	PUNCT
ap-664	58	23	(	(	PUNCT
ap-664	58	24	)	)	PUNCT
ap-664	58	25	(	(	PUNCT
ap-664	58	26	)	)	PUNCT
ap-664	58	27	�	�	PROPN
ap-664	58	28	�	�	PROPN
ap-664	58	29	�	�	PROPN
ap-664	58	30	k	k	PROPN
ap-664	58	31	k	k	PROPN
ap-664	58	32	.	.	PUNCT
ap-664	59	1	(	(	PUNCT
ap-664	59	2	13	13	NUM
ap-664	59	3	)	)	PUNCT
ap-664	59	4	using	use	VERB
ap-664	59	5	relations	relation	NOUN
ap-664	59	6	(	(	PUNCT
ap-664	59	7	10	10	NUM
ap-664	59	8	)	)	PUNCT
ap-664	59	9	and	and	CCONJ
ap-664	59	10	(	(	PUNCT
ap-664	59	11	12	12	NUM
ap-664	59	12	)	)	PUNCT
ap-664	59	13	,	,	PUNCT
ap-664	59	14	the	the	DET
ap-664	59	15	change	change	NOUN
ap-664	59	16	in	in	ADP
ap-664	59	17	total	total	ADJ
ap-664	59	18	mechanical	mechanical	ADJ
ap-664	59	19	energy	energy	NOUN
ap-664	59	20	as	as	ADP
ap-664	59	21	a	a	DET
ap-664	59	22	function	function	NOUN
ap-664	59	23	of	of	ADP
ap-664	59	24	temperature	temperature	NOUN
ap-664	59	25	can	can	AUX
ap-664	59	26	be	be	AUX
ap-664	59	27	expressed	express	VERB
ap-664	59	28	as	as	ADP
ap-664	59	29	:	:	PUNCT
ap-664	59	30	20	20	NUM
ap-664	59	31	©	©	PROPN
ap-664	59	32	czech	czech	PROPN
ap-664	59	33	technical	technical	PROPN
ap-664	59	34	university	university	PROPN
ap-664	59	35	publishing	publishing	NOUN
ap-664	59	36	housee	housee	PROPN
ap-664	59	37	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-664	59	38	acta	acta	PROPN
ap-664	59	39	polytechnica	polytechnica	PROPN
ap-664	59	40	vol	vol	NOUN
ap-664	59	41	.	.	PROPN
ap-664	60	1	45	45	NUM
ap-664	60	2	no	no	NOUN
ap-664	60	3	.	.	PUNCT
ap-664	61	1	1/2005	1/2005	NUM
ap-664	61	2	czech	czech	PROPN
ap-664	61	3	technical	technical	PROPN
ap-664	61	4	university	university	PROPN
ap-664	61	5	in	in	ADP
ap-664	61	6	prague	prague	PROPN
ap-664	61	7	�	�	PROPN
ap-664	61	8	0	0	PROPN
ap-664	61	9	�	�	PROPN
ap-664	61	10	(	(	PUNCT
ap-664	61	11	)	)	PUNCT
ap-664	61	12	t	t	PROPN
ap-664	61	13	r	r	NOUN
ap-664	61	14	t	t	PROPN
ap-664	61	15	(	(	PUNCT
ap-664	61	16	)	)	PUNCT
ap-664	61	17	h0	h0	PROPN
ap-664	61	18	h	h	PROPN
ap-664	61	19	t	t	PROPN
ap-664	61	20	(	(	PUNCT
ap-664	61	21	)	)	PUNCT
ap-664	61	22	t0	t0	PROPN
ap-664	61	23	r0	r0	PROPN
ap-664	61	24	t	t	PROPN
ap-664	61	25	�	�	PROPN
ap-664	61	26	0	0	NUM
ap-664	61	27	�	�	PROPN
ap-664	61	28	(	(	PUNCT
ap-664	61	29	)	)	PUNCT
ap-664	61	30	t	t	PROPN
ap-664	61	31	�	�	PROPN
ap-664	61	32	�	�	PROPN
ap-664	61	33	q	q	PART
ap-664	61	34	(	(	PUNCT
ap-664	61	35	radiation	radiation	NOUN
ap-664	61	36	)	)	PUNCT
ap-664	61	37	�	�	PROPN
ap-664	61	38	t	t	PROPN
ap-664	61	39	t	t	PROPN
ap-664	61	40	t	t	PROPN
ap-664	61	41	�	�	PROPN
ap-664	61	42	�	�	PROPN
ap-664	61	43	0	0	NUM
ap-664	62	1	vacuum	vacuum	NOUN
ap-664	62	2	vacuum	vacuum	NOUN
ap-664	62	3	fig	fig	NOUN
ap-664	62	4	.	.	PUNCT
ap-664	63	1	2	2	NUM
ap-664	63	2	:	:	PUNCT
ap-664	63	3	an	an	DET
ap-664	63	4	illustration	illustration	NOUN
ap-664	63	5	of	of	ADP
ap-664	63	6	an	an	DET
ap-664	63	7	isolated	isolated	ADJ
ap-664	63	8	rotating	rotate	VERB
ap-664	63	9	body	body	NOUN
ap-664	63	10	�	�	PROPN
ap-664	63	11	�	�	PROPN
ap-664	63	12	�	�	PROPN
ap-664	63	13	�	�	PROPN
ap-664	63	14	�	�	PROPN
ap-664	63	15	e	e	PROPN
ap-664	63	16	t	t	PROPN
ap-664	63	17	e	e	PROPN
ap-664	63	18	t	t	PROPN
ap-664	63	19	e	e	PROPN
ap-664	63	20	t	t	NOUN
ap-664	63	21	e	e	X
ap-664	63	22	e	e	X
ap-664	63	23	e	e	X
ap-664	63	24	e	e	X
ap-664	63	25	e	e	X
ap-664	63	26	et	et	PROPN
ap-664	63	27	t	t	PROPN
ap-664	63	28	�	�	PROPN
ap-664	63	29	�	�	PROPN
ap-664	63	30	�	�	PROPN
ap-664	63	31	�	�	PROPN
ap-664	63	32	�	�	PROPN
ap-664	63	33	�	�	PROPN
ap-664	63	34	�	�	PROPN
ap-664	63	35	�	�	PROPN
ap-664	63	36	�	�	PROPN
ap-664	63	37	�	�	PROPN
ap-664	63	38	�	�	PROPN
ap-664	63	39	�	�	PROPN
ap-664	63	40	�	�	PROPN
ap-664	63	41	�	�	PROPN
ap-664	63	42	�	�	PROPN
ap-664	63	43	�	�	PROPN
ap-664	63	44	k	k	PROPN
ap-664	63	45	k	k	PROPN
ap-664	63	46	k0	k0	PROPN
ap-664	63	47	k0	k0	PROPN
ap-664	63	48	(	(	PUNCT
ap-664	63	49	)	)	PUNCT
ap-664	63	50	(	(	PUNCT
ap-664	63	51	)	)	PUNCT
ap-664	63	52	(	(	PUNCT
ap-664	63	53	)	)	PUNCT
ap-664	63	54	2	2	NUM
ap-664	63	55	61	61	NUM
ap-664	63	56	�	�	PROPN
ap-664	63	57	�	�	PROPN
ap-664	63	58	�	�	PROPN
ap-664	63	59	�	�	PROPN
ap-664	63	60	�	�	PROPN
ap-664	63	61	1	1	NUM
ap-664	63	62	.	.	PUNCT
ap-664	64	1	(	(	PUNCT
ap-664	64	2	14	14	NUM
ap-664	64	3	)	)	PUNCT
ap-664	64	4	now	now	ADV
ap-664	64	5	we	we	PRON
ap-664	64	6	suppose	suppose	VERB
ap-664	64	7	that	that	SCONJ
ap-664	64	8	a	a	DET
ap-664	64	9	quantity	quantity	NOUN
ap-664	64	10	of	of	ADP
ap-664	64	11	heat	heat	NOUN
ap-664	64	12	�	�	PROPN
ap-664	64	13	q	q	PUNCT
ap-664	64	14	is	be	AUX
ap-664	64	15	added	add	VERB
ap-664	64	16	to	to	ADP
ap-664	64	17	(	(	PUNCT
ap-664	64	18	or	or	CCONJ
ap-664	64	19	taken	take	VERB
ap-664	64	20	away	away	ADV
ap-664	64	21	from	from	ADP
ap-664	64	22	)	)	PUNCT
ap-664	64	23	the	the	DET
ap-664	64	24	rotating	rotate	VERB
ap-664	64	25	cylinder	cylinder	NOUN
ap-664	64	26	and	and	CCONJ
ap-664	64	27	we	we	PRON
ap-664	64	28	will	will	AUX
ap-664	64	29	try	try	VERB
ap-664	64	30	to	to	PART
ap-664	64	31	express	express	VERB
ap-664	64	32	the	the	DET
ap-664	64	33	corresponding	correspond	VERB
ap-664	64	34	change	change	NOUN
ap-664	64	35	in	in	ADP
ap-664	64	36	its	its	PRON
ap-664	64	37	temperature	temperature	NOUN
ap-664	64	38	�	�	PROPN
ap-664	64	39	t	t	PROPN
ap-664	64	40	according	accord	VERB
ap-664	64	41	to	to	ADP
ap-664	64	42	equation	equation	NOUN
ap-664	64	43	(	(	PUNCT
ap-664	64	44	14	14	NUM
ap-664	64	45	)	)	PUNCT
ap-664	64	46	.	.	PUNCT
ap-664	65	1	after	after	SCONJ
ap-664	65	2	the	the	DET
ap-664	65	3	thermal	thermal	ADJ
ap-664	65	4	field	field	NOUN
ap-664	65	5	in	in	ADP
ap-664	65	6	the	the	DET
ap-664	65	7	cylinder	cylinder	NOUN
ap-664	65	8	reaches	reach	VERB
ap-664	65	9	the	the	DET
ap-664	65	10	steady	steady	ADJ
ap-664	65	11	state	state	NOUN
ap-664	65	12	,	,	PUNCT
ap-664	65	13	the	the	DET
ap-664	65	14	angular	angular	ADJ
ap-664	65	15	velocity	velocity	NOUN
ap-664	65	16	of	of	ADP
ap-664	65	17	the	the	DET
ap-664	65	18	cylinder	cylinder	NOUN
ap-664	65	19	is	be	AUX
ap-664	65	20	again	again	ADV
ap-664	65	21	constant	constant	ADJ
ap-664	65	22	.	.	PUNCT
ap-664	66	1	there	there	PRON
ap-664	66	2	are	be	VERB
ap-664	66	3	no	no	DET
ap-664	66	4	more	more	ADJ
ap-664	66	5	reasons	reason	NOUN
ap-664	66	6	for	for	ADP
ap-664	66	7	changes	change	NOUN
ap-664	66	8	to	to	ADP
ap-664	66	9	it	it	PRON
ap-664	66	10	.	.	PUNCT
ap-664	67	1	this	this	PRON
ap-664	67	2	means	mean	VERB
ap-664	67	3	that	that	SCONJ
ap-664	67	4	the	the	DET
ap-664	67	5	cylinder	cylinder	NOUN
ap-664	67	6	is	be	AUX
ap-664	67	7	in	in	ADP
ap-664	67	8	thermodynamic	thermodynamic	ADJ
ap-664	67	9	equilibrium	equilibrium	NOUN
ap-664	67	10	both	both	PRON
ap-664	67	11	at	at	ADP
ap-664	67	12	the	the	DET
ap-664	67	13	beginning	beginning	NOUN
ap-664	67	14	of	of	ADP
ap-664	67	15	the	the	DET
ap-664	67	16	process	process	NOUN
ap-664	67	17	and	and	CCONJ
ap-664	67	18	also	also	ADV
ap-664	67	19	at	at	ADP
ap-664	67	20	the	the	DET
ap-664	67	21	end	end	NOUN
ap-664	67	22	[	[	X
ap-664	67	23	4	4	NUM
ap-664	67	24	]	]	PUNCT
ap-664	67	25	.	.	PUNCT
ap-664	68	1	consequently	consequently	ADV
ap-664	68	2	,	,	PUNCT
ap-664	68	3	these	these	DET
ap-664	68	4	two	two	NUM
ap-664	68	5	states	state	NOUN
ap-664	68	6	must	must	AUX
ap-664	68	7	satisfy	satisfy	VERB
ap-664	68	8	the	the	DET
ap-664	68	9	principle	principle	NOUN
ap-664	68	10	of	of	ADP
ap-664	68	11	conservation	conservation	NOUN
ap-664	68	12	of	of	ADP
ap-664	68	13	energy	energy	NOUN
ap-664	68	14	.	.	PUNCT
ap-664	69	1	taking	take	VERB
ap-664	69	2	into	into	ADP
ap-664	69	3	account	account	NOUN
ap-664	69	4	that	that	SCONJ
ap-664	69	5	not	not	PART
ap-664	69	6	only	only	ADV
ap-664	69	7	mechanical	mechanical	ADJ
ap-664	69	8	energy	energy	NOUN
ap-664	69	9	,	,	PUNCT
ap-664	69	10	but	but	CCONJ
ap-664	69	11	also	also	ADV
ap-664	69	12	the	the	DET
ap-664	69	13	change	change	NOUN
ap-664	69	14	in	in	ADP
ap-664	69	15	internal	internal	ADJ
ap-664	69	16	energy	energy	NOUN
ap-664	69	17	�	�	NOUN
ap-664	69	18	u	u	PROPN
ap-664	69	19	has	have	VERB
ap-664	69	20	to	to	PART
ap-664	69	21	be	be	AUX
ap-664	69	22	considered	consider	VERB
ap-664	69	23	,	,	PUNCT
ap-664	69	24	the	the	DET
ap-664	69	25	law	law	NOUN
ap-664	69	26	of	of	ADP
ap-664	69	27	conservation	conservation	NOUN
ap-664	69	28	of	of	ADP
ap-664	69	29	energy	energy	NOUN
ap-664	69	30	can	can	AUX
ap-664	69	31	be	be	AUX
ap-664	69	32	written	write	VERB
ap-664	69	33	as	as	ADP
ap-664	69	34	�	�	PROPN
ap-664	69	35	�	�	PROPN
ap-664	69	36	�	�	PROPN
ap-664	69	37	q	q	PROPN
ap-664	69	38	u	u	PROPN
ap-664	69	39	e	e	PROPN
ap-664	69	40	�	�	PROPN
ap-664	69	41	�	�	PROPN
ap-664	69	42	�	�	PROPN
ap-664	69	43	�	�	PROPN
ap-664	69	44	k	k	PROPN
ap-664	69	45	,	,	PUNCT
ap-664	69	46	(	(	PUNCT
ap-664	69	47	15	15	NUM
ap-664	69	48	)	)	PUNCT
ap-664	69	49	and	and	CCONJ
ap-664	69	50	�	�	PROPN
ap-664	69	51	�	�	PROPN
ap-664	69	52	�	�	PROPN
ap-664	69	53	u	u	PROPN
ap-664	69	54	q	q	PROPN
ap-664	69	55	e	e	PROPN
ap-664	69	56	�	�	PROPN
ap-664	69	57	�	�	PROPN
ap-664	69	58	�	�	PROPN
ap-664	69	59	�	�	PROPN
ap-664	69	60	k	k	PROPN
ap-664	69	61	.	.	PUNCT
ap-664	70	1	(	(	PUNCT
ap-664	70	2	16	16	NUM
ap-664	70	3	)	)	PUNCT
ap-664	70	4	for	for	ADP
ap-664	70	5	a	a	DET
ap-664	70	6	body	body	NOUN
ap-664	70	7	at	at	ADP
ap-664	70	8	rest	rest	NOUN
ap-664	70	9	,	,	PUNCT
ap-664	70	10	it	it	PRON
ap-664	70	11	is	be	AUX
ap-664	70	12	generally	generally	ADV
ap-664	70	13	supposed	suppose	VERB
ap-664	70	14	that	that	SCONJ
ap-664	70	15	:	:	PUNCT
ap-664	70	16	�	�	PROPN
ap-664	70	17	�	�	PROPN
ap-664	70	18	u	u	NOUN
ap-664	70	19	q0	q0	PROPN
ap-664	70	20	�	�	PROPN
ap-664	70	21	.	.	PUNCT
ap-664	71	1	(	(	PUNCT
ap-664	71	2	17	17	NUM
ap-664	71	3	)	)	PUNCT
ap-664	71	4	this	this	PRON
ap-664	71	5	means	mean	VERB
ap-664	71	6	that	that	SCONJ
ap-664	71	7	the	the	DET
ap-664	71	8	change	change	NOUN
ap-664	71	9	in	in	ADP
ap-664	71	10	internal	internal	ADJ
ap-664	71	11	energy	energy	NOUN
ap-664	71	12	,	,	PUNCT
ap-664	71	13	originating	originate	VERB
ap-664	71	14	from	from	ADP
ap-664	71	15	the	the	DET
ap-664	71	16	heat	heat	NOUN
ap-664	71	17	transferred	transfer	VERB
ap-664	71	18	�	�	PROPN
ap-664	71	19	q	q	PROPN
ap-664	71	20	,	,	PUNCT
ap-664	71	21	is	be	AUX
ap-664	71	22	not	not	PART
ap-664	71	23	the	the	DET
ap-664	71	24	same	same	ADJ
ap-664	71	25	for	for	ADP
ap-664	71	26	a	a	DET
ap-664	71	27	rotating	rotate	VERB
ap-664	71	28	body	body	NOUN
ap-664	71	29	and	and	CCONJ
ap-664	71	30	for	for	ADP
ap-664	71	31	the	the	DET
ap-664	71	32	same	same	ADJ
ap-664	71	33	body	body	NOUN
ap-664	71	34	at	at	ADP
ap-664	71	35	rest	rest	NOUN
ap-664	71	36	.	.	PUNCT
ap-664	72	1	there	there	PRON
ap-664	72	2	exists	exist	VERB
ap-664	72	3	a	a	DET
ap-664	72	4	difference	difference	NOUN
ap-664	72	5	�	�	PROPN
ap-664	72	6	�	�	PROPN
ap-664	72	7	�	�	PROPN
ap-664	72	8	�	�	PROPN
ap-664	72	9	�	�	PROPN
ap-664	72	10	�	�	PROPN
ap-664	72	11	�	�	PROPN
ap-664	72	12	�	�	PROPN
ap-664	72	13	�	�	PROPN
ap-664	72	14	�	�	PROPN
ap-664	72	15	�	�	PROPN
ap-664	72	16	�	�	PROPN
ap-664	72	17	�	�	PROPN
ap-664	72	18	�	�	PROPN
ap-664	72	19	�	�	PROPN
ap-664	72	20	�	�	PROPN
ap-664	72	21	�	�	PROPN
ap-664	72	22	u	u	NOUN
ap-664	72	23	u	u	NOUN
ap-664	72	24	u	u	NOUN
ap-664	72	25	q	q	X
ap-664	72	26	e	e	PROPN
ap-664	72	27	q	q	PROPN
ap-664	72	28	e0	e0	PROPN
ap-664	72	29	�	�	PROPN
ap-664	72	30	�	�	PROPN
ap-664	72	31	k	k	PROPN
ap-664	72	32	k	k	PROPN
ap-664	72	33	.	.	PUNCT
ap-664	73	1	(	(	PUNCT
ap-664	73	2	18	18	NUM
ap-664	73	3	)	)	PUNCT
ap-664	73	4	it	it	PRON
ap-664	73	5	is	be	AUX
ap-664	73	6	well	well	ADV
ap-664	73	7	known	know	VERB
ap-664	73	8	that	that	SCONJ
ap-664	73	9	a	a	DET
ap-664	73	10	change	change	NOUN
ap-664	73	11	in	in	ADP
ap-664	73	12	internal	internal	ADJ
ap-664	73	13	energy	energy	NOUN
ap-664	73	14	is	be	AUX
ap-664	73	15	correlated	correlate	VERB
ap-664	73	16	with	with	ADP
ap-664	73	17	a	a	DET
ap-664	73	18	temperature	temperature	NOUN
ap-664	73	19	change	change	NOUN
ap-664	73	20	in	in	ADP
ap-664	73	21	a	a	DET
ap-664	73	22	body	body	NOUN
ap-664	73	23	.	.	PUNCT
ap-664	74	1	[	[	X
ap-664	74	2	1	1	NUM
ap-664	74	3	]	]	PUNCT
ap-664	74	4	.	.	PUNCT
ap-664	75	1	this	this	PRON
ap-664	75	2	means	mean	VERB
ap-664	75	3	that	that	SCONJ
ap-664	75	4	a	a	DET
ap-664	75	5	change	change	NOUN
ap-664	75	6	in	in	ADP
ap-664	75	7	temperature	temperature	NOUN
ap-664	75	8	corresponding	correspond	VERB
ap-664	75	9	to	to	ADP
ap-664	75	10	�	�	PROPN
ap-664	75	11	q	q	PROPN
ap-664	75	12	of	of	ADP
ap-664	75	13	a	a	DET
ap-664	75	14	rotating	rotate	VERB
ap-664	75	15	body	body	NOUN
ap-664	75	16	also	also	ADV
ap-664	75	17	differs	differ	VERB
ap-664	75	18	from	from	ADP
ap-664	75	19	that	that	PRON
ap-664	75	20	of	of	ADP
ap-664	75	21	a	a	DET
ap-664	75	22	body	body	NOUN
ap-664	75	23	at	at	ADP
ap-664	75	24	rest	rest	NOUN
ap-664	75	25	.	.	PUNCT
ap-664	76	1	let	let	VERB
ap-664	76	2	us	we	PRON
ap-664	76	3	accept	accept	VERB
ap-664	76	4	a	a	DET
ap-664	76	5	simplified	simplified	ADJ
ap-664	76	6	presumption	presumption	NOUN
ap-664	76	7	,	,	PUNCT
ap-664	76	8	that	that	SCONJ
ap-664	76	9	the	the	DET
ap-664	76	10	internal	internal	ADJ
ap-664	76	11	energy	energy	NOUN
ap-664	76	12	of	of	ADP
ap-664	76	13	a	a	DET
ap-664	76	14	rigid	rigid	ADJ
ap-664	76	15	body	body	NOUN
ap-664	76	16	is	be	AUX
ap-664	76	17	entirely	entirely	ADV
ap-664	76	18	a	a	DET
ap-664	76	19	function	function	NOUN
ap-664	76	20	of	of	ADP
ap-664	76	21	the	the	DET
ap-664	76	22	kinetic	kinetic	ADJ
ap-664	76	23	energy	energy	NOUN
ap-664	76	24	of	of	ADP
ap-664	76	25	chaotic	chaotic	ADJ
ap-664	76	26	motion	motion	NOUN
ap-664	76	27	of	of	ADP
ap-664	76	28	all	all	DET
ap-664	76	29	particles	particle	NOUN
ap-664	76	30	and	and	CCONJ
ap-664	76	31	that	that	SCONJ
ap-664	76	32	an	an	DET
ap-664	76	33	increase	increase	NOUN
ap-664	76	34	in	in	ADP
ap-664	76	35	it	it	PRON
ap-664	76	36	corresponds	correspond	VERB
ap-664	76	37	to	to	ADP
ap-664	76	38	an	an	DET
ap-664	76	39	increase	increase	NOUN
ap-664	76	40	in	in	ADP
ap-664	76	41	the	the	DET
ap-664	76	42	body	body	NOUN
ap-664	76	43	temperature	temperature	NOUN
ap-664	76	44	.	.	PUNCT
ap-664	77	1	then	then	ADV
ap-664	77	2	we	we	PRON
ap-664	77	3	obtain	obtain	VERB
ap-664	77	4	a	a	DET
ap-664	77	5	simplified	simplified	ADJ
ap-664	77	6	expression	expression	NOUN
ap-664	77	7	for	for	ADP
ap-664	77	8	the	the	DET
ap-664	77	9	difference	difference	NOUN
ap-664	77	10	�	�	PROPN
ap-664	77	11	*	*	PUNCT
ap-664	77	12	)	)	PUNCT
ap-664	78	1	t	t	NOUN
ap-664	78	2	:	:	PUNCT
ap-664	78	3	�	�	PROPN
ap-664	78	4	�	�	PROPN
ap-664	78	5	�	�	PROPN
ap-664	78	6	�	�	PROPN
ap-664	78	7	*	*	PUNCT
ap-664	78	8	t	t	PROPN
ap-664	78	9	t	t	PROPN
ap-664	78	10	t	t	PROPN
ap-664	78	11	u	u	PROPN
ap-664	78	12	m	m	PROPN
ap-664	78	13	�	�	PROPN
ap-664	78	14	�	�	PROPN
ap-664	78	15	�	�	PROPN
ap-664	78	16	�	�	PROPN
ap-664	78	17	s	s	PART
ap-664	78	18	c	c	NOUN
ap-664	78	19	[	[	X
ap-664	78	20	1	1	NUM
ap-664	78	21	]	]	PUNCT
ap-664	78	22	,	,	PUNCT
ap-664	78	23	(	(	PUNCT
ap-664	78	24	19	19	NUM
ap-664	78	25	)	)	PUNCT
ap-664	78	26	where	where	SCONJ
ap-664	78	27	�	�	PROPN
ap-664	78	28	t	t	PROPN
ap-664	78	29	is	be	AUX
ap-664	78	30	a	a	DET
ap-664	78	31	change	change	NOUN
ap-664	78	32	in	in	ADP
ap-664	78	33	temperature	temperature	NOUN
ap-664	78	34	of	of	ADP
ap-664	78	35	the	the	DET
ap-664	78	36	rotating	rotate	VERB
ap-664	78	37	body	body	NOUN
ap-664	78	38	,	,	PUNCT
ap-664	78	39	and	and	CCONJ
ap-664	78	40	�	�	PROPN
ap-664	78	41	ts	ts	NOUN
ap-664	78	42	is	be	AUX
ap-664	78	43	a	a	DET
ap-664	78	44	change	change	NOUN
ap-664	78	45	in	in	ADP
ap-664	78	46	temperature	temperature	NOUN
ap-664	78	47	of	of	ADP
ap-664	78	48	the	the	DET
ap-664	78	49	still	still	ADJ
ap-664	78	50	body	body	NOUN
ap-664	78	51	,	,	PUNCT
ap-664	78	52	m	m	VERB
ap-664	78	53	is	be	AUX
ap-664	78	54	mass	mass	ADJ
ap-664	78	55	and	and	CCONJ
ap-664	78	56	c	c	NOUN
ap-664	78	57	is	be	AUX
ap-664	78	58	specific	specific	ADJ
ap-664	78	59	heat	heat	NOUN
ap-664	78	60	capacity	capacity	NOUN
ap-664	78	61	of	of	ADP
ap-664	78	62	the	the	DET
ap-664	78	63	body	body	NOUN
ap-664	78	64	.	.	PUNCT
ap-664	79	1	equation	equation	NOUN
ap-664	79	2	(	(	PUNCT
ap-664	79	3	19	19	NUM
ap-664	79	4	)	)	PUNCT
ap-664	79	5	combined	combine	VERB
ap-664	79	6	with	with	ADP
ap-664	79	7	(	(	PUNCT
ap-664	79	8	14	14	NUM
ap-664	79	9	)	)	PUNCT
ap-664	79	10	and	and	CCONJ
ap-664	79	11	(	(	PUNCT
ap-664	79	12	18	18	NUM
ap-664	79	13	)	)	PUNCT
ap-664	79	14	yields	yield	NOUN
ap-664	79	15	:	:	PUNCT
ap-664	79	16	�	�	PROPN
ap-664	79	17	�	�	PROPN
ap-664	79	18	�	�	PROPN
ap-664	79	19	*	*	PUNCT
ap-664	79	20	(	(	PUNCT
ap-664	79	21	)	)	PUNCT
ap-664	79	22	(	(	PUNCT
ap-664	79	23	)	)	PUNCT
ap-664	79	24	t	t	NOUN
ap-664	79	25	e	e	X
ap-664	79	26	e	e	X
ap-664	79	27	e	e	X
ap-664	79	28	e	e	X
ap-664	79	29	m	m	PROPN
ap-664	79	30	t	t	PROPN
ap-664	79	31	t	t	PROPN
ap-664	79	32	�	�	PROPN
ap-664	79	33	�	�	PROPN
ap-664	79	34	�	�	PROPN
ap-664	79	35	�	�	PROPN
ap-664	79	36	�	�	PROPN
ap-664	79	37	�	�	PROPN
ap-664	79	38	k0	k0	PROPN
ap-664	79	39	c	c	PROPN
ap-664	79	40	1	1	NUM
ap-664	79	41	12	12	NUM
ap-664	79	42	0	0	NUM
ap-664	79	43	6	6	NUM
ap-664	79	44	�	�	PROPN
ap-664	79	45	�	�	PROPN
ap-664	79	46	�	�	PROPN
ap-664	79	47	.	.	PUNCT
ap-664	80	1	(	(	PUNCT
ap-664	80	2	20	20	NUM
ap-664	80	3	)	)	PUNCT
ap-664	80	4	according	accord	VERB
ap-664	80	5	to	to	ADP
ap-664	80	6	(	(	PUNCT
ap-664	80	7	19	19	NUM
ap-664	80	8	)	)	PUNCT
ap-664	80	9	�	�	PROPN
ap-664	80	10	�	�	PROPN
ap-664	80	11	�	�	PROPN
ap-664	80	12	t	t	PROPN
ap-664	80	13	t	t	PROPN
ap-664	80	14	t	t	PROPN
ap-664	80	15	�	�	PROPN
ap-664	80	16	�	�	PROPN
ap-664	80	17	s	s	PART
ap-664	80	18	*	*	PUNCT
ap-664	80	19	and	and	CCONJ
ap-664	80	20	then	then	ADV
ap-664	80	21	(	(	PUNCT
ap-664	80	22	20	20	NUM
ap-664	80	23	)	)	PUNCT
ap-664	80	24	reads	read	VERB
ap-664	80	25	:	:	PUNCT
ap-664	80	26	�	�	PROPN
ap-664	80	27	�	�	PROPN
ap-664	80	28	�	�	PROPN
ap-664	80	29	�	�	PROPN
ap-664	80	30	�	�	PROPN
ap-664	80	31	*	*	PUNCT
ap-664	80	32	(	(	PUNCT
ap-664	80	33	)	)	PUNCT
ap-664	80	34	(	(	PUNCT
ap-664	80	35	)	)	PUNCT
ap-664	80	36	(	(	PUNCT
ap-664	80	37	*	*	PUNCT
ap-664	80	38	)	)	PUNCT
ap-664	80	39	(	(	PUNCT
ap-664	80	40	*	*	PUNCT
ap-664	80	41	)	)	PUNCT
ap-664	81	1	t	t	NOUN
ap-664	81	2	e	e	X
ap-664	81	3	e	e	X
ap-664	81	4	e	e	X
ap-664	81	5	e	e	X
ap-664	81	6	m	m	PROPN
ap-664	81	7	t	t	PROPN
ap-664	81	8	t	t	PROPN
ap-664	81	9	t	t	PROPN
ap-664	81	10	t	t	PROPN
ap-664	81	11	�	�	PROPN
ap-664	81	12	�	�	PROPN
ap-664	81	13	�	�	PROPN
ap-664	81	14	�	�	PROPN
ap-664	81	15	�	�	PROPN
ap-664	81	16	�	�	PROPN
ap-664	81	17	�	�	PROPN
ap-664	81	18	�	�	PROPN
ap-664	81	19	k0	k0	PROPN
ap-664	81	20	s	s	PROPN
ap-664	81	21	s	s	PROPN
ap-664	81	22	c	c	NOUN
ap-664	81	23	1	1	NUM
ap-664	81	24	12	12	NUM
ap-664	81	25	0	0	NUM
ap-664	81	26	6	6	NUM
ap-664	81	27	�	�	PROPN
ap-664	81	28	�	�	PROPN
ap-664	81	29	�	�	PROPN
ap-664	81	30	,	,	PUNCT
ap-664	81	31	(	(	PUNCT
ap-664	81	32	21	21	NUM
ap-664	81	33	)	)	PUNCT
ap-664	81	34	where	where	SCONJ
ap-664	81	35	�	�	PROPN
ap-664	81	36	ts	ts	X
ap-664	81	37	is	be	AUX
ap-664	81	38	:	:	PUNCT
ap-664	81	39	�	�	PROPN
ap-664	81	40	�	�	PROPN
ap-664	81	41	t	t	PROPN
ap-664	81	42	q	q	PROPN
ap-664	81	43	ms	ms	PROPN
ap-664	81	44	c	c	PROPN
ap-664	81	45	�	�	PROPN
ap-664	82	1	[	[	X
ap-664	82	2	1	1	NUM
ap-664	82	3	]	]	PUNCT
ap-664	82	4	(	(	PUNCT
ap-664	82	5	22	22	NUM
ap-664	82	6	)	)	PUNCT
ap-664	82	7	expression	expression	NOUN
ap-664	82	8	(	(	PUNCT
ap-664	82	9	21	21	NUM
ap-664	82	10	)	)	PUNCT
ap-664	82	11	is	be	AUX
ap-664	82	12	a	a	DET
ap-664	82	13	transcendent	transcendent	ADJ
ap-664	82	14	equation	equation	NOUN
ap-664	82	15	for	for	ADP
ap-664	82	16	unknown	unknown	ADJ
ap-664	82	17	quantity	quantity	NOUN
ap-664	82	18	�	�	PROPN
ap-664	82	19	*	*	PUNCT
ap-664	82	20	t	t	PROPN
ap-664	82	21	and	and	CCONJ
ap-664	82	22	given	give	VERB
ap-664	82	23	quantity	quantity	NOUN
ap-664	82	24	�	�	PROPN
ap-664	82	25	ts	ts	ADP
ap-664	82	26	.	.	PUNCT
ap-664	83	1	this	this	DET
ap-664	83	2	equation	equation	NOUN
ap-664	83	3	was	be	AUX
ap-664	83	4	solved	solve	VERB
ap-664	83	5	with	with	ADP
ap-664	83	6	the	the	DET
ap-664	83	7	help	help	NOUN
ap-664	83	8	of	of	ADP
ap-664	83	9	the	the	DET
ap-664	83	10	maple	maple	PROPN
ap-664	83	11	mathematical	mathematical	PROPN
ap-664	83	12	program	program	NOUN
ap-664	83	13	,	,	PUNCT
ap-664	83	14	and	and	CCONJ
ap-664	83	15	the	the	DET
ap-664	83	16	following	follow	VERB
ap-664	83	17	real	real	ADJ
ap-664	83	18	solutions	solution	NOUN
ap-664	83	19	for	for	ADP
ap-664	83	20	�	�	PROPN
ap-664	83	21	*	*	PUNCT
ap-664	83	22	t	t	PROPN
ap-664	83	23	as	as	ADP
ap-664	83	24	a	a	DET
ap-664	83	25	function	function	NOUN
ap-664	83	26	of	of	ADP
ap-664	83	27	�	�	PROPN
ap-664	83	28	ts	t	NOUN
ap-664	83	29	were	be	AUX
ap-664	83	30	found	find	VERB
ap-664	83	31	:	:	PUNCT
ap-664	83	32	�	�	PROPN
ap-664	83	33	�	�	PROPN
ap-664	83	34	*	*	PROPN
ap-664	83	35	(	(	PUNCT
ap-664	83	36	)	)	PUNCT
ap-664	83	37	(	(	PUNCT
ap-664	84	1	t	t	NOUN
ap-664	84	2	f	f	PROPN
ap-664	84	3	t	t	PROPN
ap-664	84	4	e	e	X
ap-664	84	5	e	e	PROPN
ap-664	84	6	zm	zm	PROPN
ap-664	84	7	e	e	PROPN
ap-664	84	8	e	e	X
ap-664	84	9	z	z	NOUN
ap-664	84	10	e	e	X
ap-664	84	11	e	e	PROPN
ap-664	84	12	z	z	PROPN
ap-664	84	13	e	e	PROPN
ap-664	84	14	�	�	PROPN
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ap-664	84	16	�	�	PROPN
ap-664	84	17	�	�	PROPN
ap-664	84	18	�	�	PROPN
ap-664	84	19	�	�	PROPN
ap-664	84	20	�	�	PROPN
ap-664	84	21	�	�	PROPN
ap-664	84	22	�	�	PROPN
ap-664	84	23	s	s	PART
ap-664	84	24	rootof	rootof	NOUN
ap-664	84	25	c	c	PROPN
ap-664	84	26	k	k	PROPN
ap-664	84	27	�	�	PROPN
ap-664	84	28	�	�	PROPN
ap-664	84	29	�	�	PROPN
ap-664	84	30	0	0	NUM
ap-664	84	31	6	6	NUM
ap-664	84	32	0	0	NUM
ap-664	84	33	2	2	NUM
ap-664	84	34	0	0	NUM
ap-664	84	35	2	2	NUM
ap-664	84	36	�	�	PROPN
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ap-664	84	38	�	�	PROPN
ap-664	84	39	0	0	NUM
ap-664	84	40	0	0	NUM
ap-664	84	41	0	0	NUM
ap-664	84	42	6	6	NUM
ap-664	84	43	0	0	NUM
ap-664	84	44	6	6	NUM
ap-664	84	45	0	0	NUM
ap-664	84	46	2	2	NUM
ap-664	84	47	�	�	PROPN
ap-664	84	48	�	�	PROPN
ap-664	84	49	�	�	PROPN
ap-664	84	50	�	�	PROPN
ap-664	84	51	�	�	PROPN
ap-664	84	52	�	�	PROPN
ap-664	84	53	�	�	PROPN
ap-664	84	54	�	�	PROPN
ap-664	84	55	�	�	PROPN
ap-664	84	56	�	�	PROPN
ap-664	84	57	�	�	PROPN
ap-664	84	58	e	e	PROPN
ap-664	84	59	t	t	PROPN
ap-664	84	60	m	m	PROPN
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ap-664	84	62	e	e	X
ap-664	84	63	e	e	X
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ap-664	84	65	e	e	X
ap-664	84	66	e	e	X
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ap-664	84	68	m	m	VERB
ap-664	84	69	e	e	X
ap-664	84	70	e	e	X
ap-664	84	71	k	k	PROPN
ap-664	84	72	s	s	AUX
ap-664	84	73	k	k	PROPN
ap-664	84	74	c	c	PROPN
ap-664	84	75	k	k	PROPN
ap-664	84	76	rootof	rootof	VERB
ap-664	84	77	c	c	PROPN
ap-664	84	78	c	c	PROPN
ap-664	84	79	�	�	PROPN
ap-664	84	80	)	)	PUNCT
ap-664	84	81	(	(	PUNCT
ap-664	84	82	�	�	PROPN
ap-664	84	83	�	�	PROPN
ap-664	84	84	�	�	PROPN
ap-664	84	85	�	�	PROPN
ap-664	84	86	�	�	PROPN
ap-664	84	87	�	�	PROPN
ap-664	84	88	�	�	PROPN
ap-664	84	89	�	�	PROPN
ap-664	84	90	�	�	PROPN
ap-664	84	91	e	e	PROPN
ap-664	84	92	e	e	PROPN
ap-664	84	93	t	t	PROPN
ap-664	84	94	m	m	VERB
ap-664	84	95	m	m	VERB
ap-664	84	96	e	e	NOUN
ap-664	84	97	e	e	PROPN
ap-664	84	98	m	m	PROPN
ap-664	84	99	�	�	PROPN
ap-664	84	100	�	�	PROPN
ap-664	84	101	0	0	NUM
ap-664	84	102	0	0	NUM
ap-664	84	103	0	0	NUM
ap-664	84	104	0	0	NUM
ap-664	84	105	23	23	NUM
ap-664	85	1	k	k	NOUN
ap-664	85	2	s	s	X
ap-664	85	3	c	c	NOUN
ap-664	85	4	k	k	PROPN
ap-664	85	5	c	c	PROPN
ap-664	85	6	c	c	PROPN
ap-664	85	7	�	�	PROPN
ap-664	85	8	)	)	PUNCT
ap-664	85	9	(	(	PUNCT
ap-664	85	10	)	)	PUNCT
ap-664	85	11	(	(	PUNCT
ap-664	85	12	the	the	DET
ap-664	85	13	symbol	symbol	NOUN
ap-664	85	14	z	z	NOUN
ap-664	85	15	in	in	ADP
ap-664	85	16	this	this	DET
ap-664	85	17	equation	equation	NOUN
ap-664	85	18	represents	represent	VERB
ap-664	85	19	an	an	DET
ap-664	85	20	auxiliary	auxiliary	ADJ
ap-664	85	21	variable	variable	NOUN
ap-664	85	22	for	for	ADP
ap-664	85	23	the	the	DET
ap-664	85	24	solution	solution	NOUN
ap-664	85	25	of	of	ADP
ap-664	85	26	partial	partial	ADJ
ap-664	85	27	expressions	expression	NOUN
ap-664	85	28	for	for	ADP
ap-664	85	29	given	give	VERB
ap-664	85	30	�	�	PROPN
ap-664	85	31	ts	ts	ADP
ap-664	85	32	.	.	PUNCT
ap-664	85	33	)	)	PUNCT
ap-664	86	1	the	the	DET
ap-664	86	2	solution	solution	NOUN
ap-664	86	3	(	(	PUNCT
ap-664	86	4	23	23	NUM
ap-664	86	5	)	)	PUNCT
ap-664	86	6	is	be	AUX
ap-664	86	7	illustrated	illustrate	VERB
ap-664	86	8	(	(	PUNCT
ap-664	86	9	fig	fig	NOUN
ap-664	86	10	.	.	PUNCT
ap-664	87	1	3	3	NUM
ap-664	87	2	)	)	PUNCT
ap-664	87	3	for	for	ADP
ap-664	87	4	the	the	DET
ap-664	87	5	following	follow	VERB
ap-664	87	6	parameters	parameter	NOUN
ap-664	87	7	of	of	ADP
ap-664	87	8	the	the	DET
ap-664	87	9	rotating	rotate	VERB
ap-664	87	10	cylinder	cylinder	NOUN
ap-664	87	11	:	:	PUNCT
ap-664	87	12	©	©	PROPN
ap-664	87	13	czech	czech	PROPN
ap-664	87	14	technical	technical	PROPN
ap-664	87	15	university	university	PROPN
ap-664	87	16	publishing	publishing	NOUN
ap-664	87	17	housee	housee	PROPN
ap-664	87	18	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-664	87	19	21	21	NUM
ap-664	87	20	czech	czech	PROPN
ap-664	87	21	technical	technical	PROPN
ap-664	87	22	university	university	PROPN
ap-664	87	23	in	in	ADP
ap-664	87	24	prague	prague	PROPN
ap-664	87	25	acta	acta	PROPN
ap-664	87	26	polytechnica	polytechnica	PROPN
ap-664	87	27	vol	vol	NOUN
ap-664	87	28	.	.	PROPN
ap-664	88	1	45	45	NUM
ap-664	88	2	no	no	NOUN
ap-664	88	3	.	.	PUNCT
ap-664	89	1	1/2005	1/2005	NUM
ap-664	89	2	cooling	cooling	NOUN
ap-664	89	3	of	of	ADP
ap-664	89	4	body	body	NOUN
ap-664	89	5	heating	heating	NOUN
ap-664	89	6	of	of	ADP
ap-664	89	7	body	body	NOUN
ap-664	89	8	|	|	ADV
ap-664	90	1	|	|	ADV
ap-664	91	1	[	[	X
ap-664	91	2	k]	k]	NOUN
ap-664	91	3	�	�	PROPN
ap-664	91	4	ts	ts	ADP
ap-664	91	5	|	|	ADV
ap-664	91	6	[	[	X
ap-664	91	7	k]	k]	PROPN
ap-664	91	8	�	�	PROPN
ap-664	91	9	�	�	PROPN
ap-664	91	10	t|	t|	PROPN
ap-664	91	11	fig	fig	NOUN
ap-664	91	12	.	.	PUNCT
ap-664	92	1	3	3	NUM
ap-664	92	2	:	:	PUNCT
ap-664	92	3	curves	curve	NOUN
ap-664	92	4	�	�	PROPN
ap-664	92	5	*	*	PROPN
ap-664	92	6	t	t	PROPN
ap-664	92	7	versus	versus	ADP
ap-664	92	8	�	�	PROPN
ap-664	92	9	ts	ts	X
ap-664	92	10	as	as	ADP
ap-664	92	11	a	a	DET
ap-664	92	12	solution	solution	NOUN
ap-664	92	13	of	of	ADP
ap-664	92	14	the	the	DET
ap-664	92	15	equation	equation	NOUN
ap-664	92	16	(	(	PUNCT
ap-664	92	17	23	23	NUM
ap-664	92	18	)	)	PUNCT
ap-664	92	19	material	material	NOUN
ap-664	92	20	–	–	PUNCT
ap-664	92	21	steel	steel	NOUN
ap-664	92	22	r0	r0	NOUN
ap-664	92	23	1	1	NUM
ap-664	92	24	�	�	PROPN
ap-664	92	25	m	m	PROPN
ap-664	92	26	�	�	PROPN
ap-664	92	27	�	�	PROPN
ap-664	92	28	0	0	NUM
ap-664	92	29	2	2	NUM
ap-664	92	30	100	100	NUM
ap-664	92	31	�	�	PROPN
ap-664	92	32	rad×s	rad×s	SYM
ap-664	92	33	�	�	PROPN
ap-664	92	34	1	1	NUM
ap-664	92	35	h0	h0	PROPN
ap-664	92	36	01	01	NUM
ap-664	92	37	�	�	PROPN
ap-664	92	38	.	.	PUNCT
ap-664	93	1	m	m	PROPN
ap-664	93	2	�	�	PROPN
ap-664	93	3	0	0	NUM
ap-664	93	4	7800	7800	NUM
ap-664	93	5	�	�	PROPN
ap-664	93	6	kg×m	kg×m	PROPN
ap-664	93	7	�	�	PROPN
ap-664	93	8	3	3	NUM
ap-664	93	9	[	[	X
ap-664	93	10	2	2	NUM
ap-664	93	11	]	]	PUNCT
ap-664	93	12	e	e	X
ap-664	93	13	�	�	PROPN
ap-664	93	14	�	�	PROPN
ap-664	93	15	2	2	NUM
ap-664	93	16	1011	1011	NUM
ap-664	93	17	pa	pa	PROPN
ap-664	93	18	a	a	DET
ap-664	93	19	�	�	PROPN
ap-664	93	20	�	�	PROPN
ap-664	93	21	�	�	PROPN
ap-664	93	22	16	16	NUM
ap-664	93	23	10	10	NUM
ap-664	93	24	6	6	NUM
ap-664	93	25	k	k	X
ap-664	93	26	�	�	PROPN
ap-664	93	27	1	1	NUM
ap-664	93	28	[	[	X
ap-664	93	29	2	2	NUM
ap-664	93	30	]	]	X
ap-664	93	31	c	c	PROPN
ap-664	93	32	�	�	PROPN
ap-664	93	33	483	483	NUM
ap-664	93	34	j×kg	j×kg	PROPN
ap-664	93	35	�	�	PROPN
ap-664	93	36	1×k	1×k	NUM
ap-664	93	37	�	�	NOUN
ap-664	93	38	1	1	NUM
ap-664	93	39	[	[	X
ap-664	93	40	2	2	NUM
ap-664	93	41	]	]	PUNCT
ap-664	93	42	�	�	PROPN
ap-664	93	43	�	�	PROPN
ap-664	93	44	029	029	NUM
ap-664	93	45	.	.	PUNCT
ap-664	94	1	[	[	X
ap-664	94	2	3	3	X
ap-664	94	3	]	]	PUNCT
ap-664	94	4	conclusions	conclusion	NOUN
ap-664	94	5	fig	fig	NOUN
ap-664	94	6	.	.	PUNCT
ap-664	95	1	3	3	NUM
ap-664	95	2	shows	show	VERB
ap-664	95	3	the	the	DET
ap-664	95	4	curves	curve	NOUN
ap-664	95	5	of	of	ADP
ap-664	95	6	�	�	PROPN
ap-664	95	7	*	*	PUNCT
ap-664	95	8	t	t	PROPN
ap-664	95	9	versus	versus	X
ap-664	95	10	�	�	PROPN
ap-664	95	11	ts	ts	X
ap-664	95	12	(	(	PUNCT
ap-664	95	13	in	in	ADP
ap-664	95	14	absolute	absolute	ADJ
ap-664	95	15	values	value	NOUN
ap-664	95	16	)	)	PUNCT
ap-664	95	17	as	as	ADP
ap-664	95	18	a	a	DET
ap-664	95	19	solution	solution	NOUN
ap-664	95	20	of	of	ADP
ap-664	95	21	equation	equation	NOUN
ap-664	95	22	(	(	PUNCT
ap-664	95	23	23	23	NUM
ap-664	95	24	)	)	PUNCT
ap-664	95	25	,	,	PUNCT
ap-664	95	26	both	both	CCONJ
ap-664	95	27	for	for	ADP
ap-664	95	28	heating	heating	NOUN
ap-664	95	29	and	and	CCONJ
ap-664	95	30	for	for	ADP
ap-664	95	31	cooling	cool	VERB
ap-664	95	32	the	the	DET
ap-664	95	33	cylinder	cylinder	NOUN
ap-664	95	34	.	.	PUNCT
ap-664	96	1	for	for	ADP
ap-664	96	2	�	�	PROPN
ap-664	96	3	tsmax	tsmax	PROPN
ap-664	96	4	�	�	PROPN
ap-664	96	5	700	700	NUM
ap-664	96	6	k	k	NOUN
ap-664	96	7	,	,	PUNCT
ap-664	96	8	and	and	CCONJ
ap-664	96	9	for	for	SCONJ
ap-664	96	10	the	the	DET
ap-664	96	11	parameters	parameter	NOUN
ap-664	96	12	supposed	suppose	VERB
ap-664	96	13	,	,	PUNCT
ap-664	96	14	the	the	DET
ap-664	96	15	value	value	NOUN
ap-664	96	16	of	of	ADP
ap-664	96	17	�	�	PROPN
ap-664	96	18	*	*	PUNCT
ap-664	96	19	t	t	PROPN
ap-664	96	20	is	be	AUX
ap-664	96	21	:	:	PUNCT
ap-664	96	22	�	�	PROPN
ap-664	96	23	*	*	PUNCT
ap-664	96	24	(	(	PUNCT
ap-664	96	25	)	)	PUNCT
ap-664	96	26	.t	.t	PROPN
ap-664	96	27	700	700	NUM
ap-664	96	28	4	4	NUM
ap-664	96	29	62k	62k	NOUN
ap-664	96	30	k	k	X
ap-664	96	31	�	�	PROPN
ap-664	96	32	for	for	ADP
ap-664	96	33	heating	heating	NOUN
ap-664	96	34	and	and	CCONJ
ap-664	96	35	�	�	PROPN
ap-664	96	36	*	*	PUNCT
ap-664	96	37	(	(	PUNCT
ap-664	96	38	)	)	PUNCT
ap-664	96	39	.t	.t	PROPN
ap-664	96	40	700	700	NUM
ap-664	96	41	4	4	NUM
ap-664	96	42	72k	72k	NUM
ap-664	96	43	k	k	X
ap-664	96	44	�	�	PROPN
ap-664	96	45	for	for	ADP
ap-664	96	46	cooling	cool	VERB
ap-664	96	47	.	.	PUNCT
ap-664	97	1	the	the	DET
ap-664	97	2	results	result	NOUN
ap-664	97	3	show	show	VERB
ap-664	97	4	that	that	SCONJ
ap-664	97	5	the	the	DET
ap-664	97	6	effect	effect	NOUN
ap-664	97	7	is	be	AUX
ap-664	97	8	more	more	ADV
ap-664	97	9	readable	readable	ADJ
ap-664	97	10	for	for	ADP
ap-664	97	11	cooling	cool	VERB
ap-664	97	12	than	than	ADP
ap-664	97	13	for	for	ADP
ap-664	97	14	the	the	DET
ap-664	97	15	heating	heating	NOUN
ap-664	97	16	process	process	NOUN
ap-664	97	17	.	.	PUNCT
ap-664	98	1	this	this	PRON
ap-664	98	2	corresponds	correspond	VERB
ap-664	98	3	to	to	ADP
ap-664	98	4	the	the	DET
ap-664	98	5	fact	fact	NOUN
ap-664	98	6	that	that	SCONJ
ap-664	98	7	for	for	ADP
ap-664	98	8	the	the	DET
ap-664	98	9	heating	heating	NOUN
ap-664	98	10	process	process	NOUN
ap-664	98	11	the	the	DET
ap-664	98	12	temperature	temperature	NOUN
ap-664	98	13	difference	difference	NOUN
ap-664	98	14	�	�	PROPN
ap-664	98	15	*	*	PUNCT
ap-664	98	16	t	t	PROPN
ap-664	98	17	has	have	AUX
ap-664	98	18	the	the	DET
ap-664	98	19	finite	finite	ADJ
ap-664	98	20	asymptotic	asymptotic	ADJ
ap-664	98	21	value	value	NOUN
ap-664	98	22	:	:	PUNCT
ap-664	98	23	�	�	PROPN
ap-664	98	24	�	�	PROPN
ap-664	98	25	*	*	PROPN
ap-664	98	26	(	(	PUNCT
ap-664	98	27	)	)	PUNCT
ap-664	98	28	t	t	NOUN
ap-664	98	29	e	e	PROPN
ap-664	98	30	e	e	PROPN
ap-664	98	31	mt	mt	PROPN
ap-664	98	32	�	�	PROPN
ap-664	98	33	�	�	PROPN
ap-664	98	34	�	�	PROPN
ap-664	98	35	�	�	PROPN
ap-664	98	36	k	k	PROPN
ap-664	98	37	c	c	PROPN
ap-664	98	38	0	0	SYM
ap-664	98	39	0	0	NUM
ap-664	98	40	�	�	PROPN
ap-664	98	41	(	(	PUNCT
ap-664	98	42	follows	follow	VERB
ap-664	98	43	from	from	ADP
ap-664	98	44	(	(	PUNCT
ap-664	98	45	21	21	NUM
ap-664	98	46	)	)	PUNCT
ap-664	98	47	)	)	PUNCT
ap-664	98	48	.	.	PUNCT
ap-664	99	1	(	(	PUNCT
ap-664	99	2	this	this	DET
ap-664	99	3	relation	relation	NOUN
ap-664	99	4	describes	describe	VERB
ap-664	99	5	a	a	DET
ap-664	99	6	theoretical	theoretical	ADJ
ap-664	99	7	extreme	extreme	ADJ
ap-664	99	8	case	case	NOUN
ap-664	99	9	when	when	SCONJ
ap-664	99	10	the	the	DET
ap-664	99	11	whole	whole	ADJ
ap-664	99	12	initial	initial	ADJ
ap-664	99	13	kinetic	kinetic	NOUN
ap-664	99	14	and	and	CCONJ
ap-664	99	15	deformation	deformation	NOUN
ap-664	99	16	energy	energy	NOUN
ap-664	99	17	converts	convert	NOUN
ap-664	99	18	into	into	ADP
ap-664	99	19	inner	inner	ADJ
ap-664	99	20	energy	energy	NOUN
ap-664	99	21	and	and	CCONJ
ap-664	99	22	the	the	DET
ap-664	99	23	cylinder	cylinder	NOUN
ap-664	99	24	“	"	PUNCT
ap-664	99	25	comes	come	VERB
ap-664	99	26	to	to	ADP
ap-664	99	27	a	a	DET
ap-664	99	28	standstill	standstill	NOUN
ap-664	99	29	”	"	PUNCT
ap-664	99	30	)	)	PUNCT
ap-664	99	31	.	.	PUNCT
ap-664	100	1	in	in	ADP
ap-664	100	2	the	the	DET
ap-664	100	3	case	case	NOUN
ap-664	100	4	of	of	ADP
ap-664	100	5	cooling	cooling	NOUN
ap-664	100	6	,	,	PUNCT
ap-664	100	7	the	the	DET
ap-664	100	8	mathematical	mathematical	ADJ
ap-664	100	9	expression	expression	NOUN
ap-664	100	10	for	for	ADP
ap-664	100	11	�	�	PROPN
ap-664	100	12	*	*	PUNCT
ap-664	100	13	t	t	PROPN
ap-664	100	14	has	have	VERB
ap-664	100	15	no	no	DET
ap-664	100	16	limit	limit	NOUN
ap-664	100	17	.	.	PUNCT
ap-664	101	1	in	in	ADP
ap-664	101	2	the	the	DET
ap-664	101	3	study	study	NOUN
ap-664	101	4	it	it	PRON
ap-664	101	5	is	be	AUX
ap-664	101	6	supposed	suppose	VERB
ap-664	101	7	that	that	SCONJ
ap-664	101	8	the	the	DET
ap-664	101	9	coefficient	coefficient	NOUN
ap-664	101	10	of	of	ADP
ap-664	101	11	thermal	thermal	ADJ
ap-664	101	12	expansion	expansion	NOUN
ap-664	101	13	of	of	ADP
ap-664	101	14	the	the	DET
ap-664	101	15	cylinder	cylinder	NOUN
ap-664	101	16	material	material	NOUN
ap-664	101	17	is	be	AUX
ap-664	101	18	positive	positive	ADJ
ap-664	101	19	.	.	PUNCT
ap-664	102	1	if	if	SCONJ
ap-664	102	2	the	the	DET
ap-664	102	3	coefficient	coefficient	NOUN
ap-664	102	4	of	of	ADP
ap-664	102	5	thermal	thermal	ADJ
ap-664	102	6	expansion	expansion	NOUN
ap-664	102	7	is	be	AUX
ap-664	102	8	negative	negative	ADJ
ap-664	102	9	,	,	PUNCT
ap-664	102	10	the	the	DET
ap-664	102	11	heating	heating	NOUN
ap-664	102	12	of	of	ADP
ap-664	102	13	a	a	DET
ap-664	102	14	rotating	rotate	VERB
ap-664	102	15	cylinder	cylinder	NOUN
ap-664	102	16	would	would	AUX
ap-664	102	17	result	result	VERB
ap-664	102	18	in	in	ADP
ap-664	102	19	an	an	DET
ap-664	102	20	increase	increase	NOUN
ap-664	102	21	in	in	ADP
ap-664	102	22	kinetic	kinetic	ADJ
ap-664	102	23	energy	energy	NOUN
ap-664	102	24	on	on	ADP
ap-664	102	25	account	account	NOUN
ap-664	102	26	of	of	ADP
ap-664	102	27	the	the	DET
ap-664	102	28	heat	heat	NOUN
ap-664	102	29	transferred	transfer	VERB
ap-664	102	30	.	.	PUNCT
ap-664	103	1	as	as	SCONJ
ap-664	103	2	materials	material	NOUN
ap-664	103	3	with	with	ADP
ap-664	103	4	a	a	DET
ap-664	103	5	negative	negative	ADJ
ap-664	103	6	coefficient	coefficient	NOUN
ap-664	103	7	of	of	ADP
ap-664	103	8	thermal	thermal	ADJ
ap-664	103	9	expansion	expansion	NOUN
ap-664	103	10	are	be	AUX
ap-664	103	11	very	very	ADV
ap-664	103	12	rare	rare	ADJ
ap-664	103	13	(	(	PUNCT
ap-664	103	14	for	for	ADP
ap-664	103	15	instance	instance	NOUN
ap-664	103	16	quenched	quench	VERB
ap-664	103	17	irreversible	irreversible	ADJ
ap-664	103	18	fe	fe	PROPN
ap-664	103	19	-	-	PROPN
ap-664	103	20	ni	ni	PROPN
ap-664	103	21	invar	invar	NOUN
ap-664	103	22	alloys	alloy	NOUN
ap-664	103	23	)	)	PUNCT
ap-664	103	24	,	,	PUNCT
ap-664	103	25	this	this	DET
ap-664	103	26	case	case	NOUN
ap-664	103	27	is	be	AUX
ap-664	103	28	not	not	PART
ap-664	103	29	considered	consider	VERB
ap-664	103	30	in	in	ADP
ap-664	103	31	detail	detail	NOUN
ap-664	103	32	in	in	ADP
ap-664	103	33	the	the	DET
ap-664	103	34	study	study	NOUN
ap-664	103	35	.	.	PUNCT
ap-664	104	1	appendix	appendix	NOUN
ap-664	104	2	1	1	NUM
ap-664	104	3	.	.	PUNCT
ap-664	104	4	relation	relation	NOUN
ap-664	104	5	(	(	PUNCT
ap-664	104	6	8)	8)	NUM
ap-664	104	7	:	:	PUNCT
ap-664	104	8	from	from	ADP
ap-664	104	9	its	its	PRON
ap-664	104	10	definition	definition	NOUN
ap-664	104	11	,	,	PUNCT
ap-664	104	12	the	the	DET
ap-664	104	13	density	density	NOUN
ap-664	104	14	is	be	AUX
ap-664	104	15	given	give	VERB
ap-664	104	16	by	by	ADP
ap-664	104	17	:	:	PUNCT
ap-664	104	18	�	�	PROPN
ap-664	104	19	�	�	PROPN
ap-664	104	20	m	m	PROPN
ap-664	104	21	v	v	NOUN
ap-664	104	22	(	(	PUNCT
ap-664	104	23	a1	a1	NOUN
ap-664	104	24	)	)	PUNCT
ap-664	104	25	and	and	CCONJ
ap-664	104	26	according	accord	VERB
ap-664	104	27	to	to	ADP
ap-664	104	28	fig	fig	NOUN
ap-664	104	29	.	.	PUNCT
ap-664	105	1	1	1	NUM
ap-664	105	2	:	:	PUNCT
ap-664	105	3	�	�	PROPN
ap-664	105	4	�	�	PROPN
ap-664	105	5	�	�	PROPN
ap-664	105	6	m	m	PROPN
ap-664	105	7	r	r	NOUN
ap-664	105	8	h2	h2	NOUN
ap-664	105	9	,	,	PUNCT
ap-664	105	10	(	(	PUNCT
ap-664	105	11	a2	a2	PROPN
ap-664	105	12	)	)	PUNCT
ap-664	105	13	or	or	CCONJ
ap-664	105	14	:	:	PUNCT
ap-664	105	15	�	�	PROPN
ap-664	105	16	�	�	PROPN
ap-664	105	17	�	�	PROPN
ap-664	105	18	�	�	PROPN
ap-664	105	19	0	0	NUM
ap-664	105	20	0	0	NUM
ap-664	105	21	2	2	NUM
ap-664	105	22	0	0	NUM
ap-664	105	23	2	2	NUM
ap-664	105	24	�	�	PROPN
ap-664	105	25	�	�	PROPN
ap-664	105	26	m	m	PROPN
ap-664	105	27	r	r	NOUN
ap-664	105	28	h	h	NOUN
ap-664	106	1	t	t	NOUN
ap-664	106	2	m	m	NOUN
ap-664	106	3	r	r	NOUN
ap-664	106	4	t	t	NOUN
ap-664	106	5	h	h	NOUN
ap-664	106	6	t	t	PROPN
ap-664	106	7	,	,	PUNCT
ap-664	106	8	(	(	PUNCT
ap-664	106	9	)	)	PUNCT
ap-664	106	10	(	(	PUNCT
ap-664	106	11	)	)	PUNCT
ap-664	106	12	(	(	PUNCT
ap-664	106	13	)	)	PUNCT
ap-664	106	14	,	,	PUNCT
ap-664	106	15	(	(	PUNCT
ap-664	106	16	a3	a3	NOUN
ap-664	106	17	)	)	PUNCT
ap-664	106	18	and	and	CCONJ
ap-664	106	19	from	from	ADP
ap-664	106	20	relation	relation	NOUN
ap-664	106	21	(	(	PUNCT
ap-664	106	22	6	6	NUM
ap-664	106	23	,	,	PUNCT
ap-664	106	24	7	7	NUM
ap-664	106	25	)	)	PUNCT
ap-664	106	26	follows	follow	VERB
ap-664	106	27	:	:	PUNCT
ap-664	106	28	�	�	PROPN
ap-664	106	29	�	�	PROPN
ap-664	106	30	�	�	PROPN
ap-664	106	31	�	�	PROPN
ap-664	106	32	(	(	PUNCT
ap-664	106	33	)	)	PUNCT
ap-664	106	34	t	t	NOUN
ap-664	106	35	m	m	NOUN
ap-664	106	36	r	r	NOUN
ap-664	106	37	e	e	NOUN
ap-664	106	38	h	h	NOUN
ap-664	106	39	e	e	NOUN
ap-664	106	40	m	m	NOUN
ap-664	107	1	r	r	NOUN
ap-664	107	2	h	h	NOUN
ap-664	107	3	e	e	NOUN
ap-664	107	4	et	et	NOUN
ap-664	107	5	t	t	PROPN
ap-664	107	6	t	t	PROPN
ap-664	107	7	t	t	PROPN
ap-664	107	8	�	�	PROPN
ap-664	107	9	�	�	PROPN
ap-664	107	10	�	�	PROPN
ap-664	107	11	�	�	PROPN
ap-664	107	12	0	0	NUM
ap-664	107	13	2	2	NUM
ap-664	107	14	2	2	NUM
ap-664	107	15	0	0	NUM
ap-664	107	16	0	0	NUM
ap-664	107	17	2	2	NUM
ap-664	107	18	0	0	NUM
ap-664	107	19	3	3	NUM
ap-664	107	20	0	0	NUM
ap-664	107	21	3	3	NUM
ap-664	107	22	�	�	PROPN
ap-664	107	23	�	�	PROPN
ap-664	107	24	�	�	PROPN
ap-664	107	25	�	�	PROPN
ap-664	107	26	�	�	PROPN
ap-664	107	27	�	�	PROPN
ap-664	107	28	�	�	PROPN
ap-664	107	29	�	�	PROPN
ap-664	107	30	.	.	PUNCT
ap-664	108	1	(	(	PUNCT
ap-664	108	2	a4	a4	NOUN
ap-664	108	3	)	)	PUNCT
ap-664	108	4	2	2	NUM
ap-664	108	5	.	.	X
ap-664	109	1	relation	relation	NOUN
ap-664	109	2	(	(	PUNCT
ap-664	109	3	9	9	NUM
ap-664	109	4	):	):	PUNCT
ap-664	109	5	according	accord	VERB
ap-664	109	6	to	to	ADP
ap-664	109	7	relation	relation	NOUN
ap-664	109	8	(	(	PUNCT
ap-664	109	9	3	3	NUM
ap-664	109	10	):	):	PUNCT
ap-664	109	11	j	j	PROPN
ap-664	109	12	const	const	PROPN
ap-664	109	13	�	�	PROPN
ap-664	109	14	�	�	PROPN
ap-664	109	15	.	.	PUNCT
ap-664	109	16	,	,	PUNCT
ap-664	109	17	(	(	PUNCT
ap-664	109	18	a5	a5	PROPN
ap-664	109	19	)	)	PUNCT
ap-664	109	20	or	or	CCONJ
ap-664	109	21	:	:	PUNCT
ap-664	109	22	j	j	PROPN
ap-664	109	23	j	j	PROPN
ap-664	109	24	t	t	PROPN
ap-664	109	25	t0	t0	PROPN
ap-664	109	26	0	0	NUM
ap-664	109	27	�	�	PROPN
ap-664	109	28	�	�	PROPN
ap-664	109	29	�	�	PROPN
ap-664	109	30	(	(	PUNCT
ap-664	109	31	)	)	PUNCT
ap-664	109	32	(	(	PUNCT
ap-664	109	33	)	)	PUNCT
ap-664	109	34	,	,	PUNCT
ap-664	109	35	(	(	PUNCT
ap-664	109	36	a6	a6	NOUN
ap-664	109	37	)	)	PUNCT
ap-664	109	38	�	�	PROPN
ap-664	109	39	�	�	PROPN
ap-664	109	40	�	�	PROPN
ap-664	109	41	�	�	PROPN
ap-664	109	42	(	(	PUNCT
ap-664	109	43	)	)	PUNCT
ap-664	109	44	(	(	PUNCT
ap-664	109	45	)	)	PUNCT
ap-664	109	46	t	t	PROPN
ap-664	109	47	j	j	PROPN
ap-664	110	1	j	j	PROPN
ap-664	110	2	t	t	PROPN
ap-664	110	3	0	0	NUM
ap-664	110	4	0	0	NUM
ap-664	110	5	(	(	PUNCT
ap-664	110	6	a7	a7	PROPN
ap-664	110	7	)	)	PUNCT
ap-664	110	8	and	and	CCONJ
ap-664	110	9	from	from	ADP
ap-664	110	10	relation	relation	NOUN
ap-664	110	11	(	(	PUNCT
ap-664	110	12	1	1	NUM
ap-664	110	13	,	,	PUNCT
ap-664	110	14	6	6	NUM
ap-664	110	15	)	)	PUNCT
ap-664	110	16	follows	follow	VERB
ap-664	110	17	:	:	PUNCT
ap-664	110	18	�	�	PROPN
ap-664	110	19	�	�	PROPN
ap-664	110	20	�	�	PROPN
ap-664	110	21	(	(	PUNCT
ap-664	110	22	)	)	PUNCT
ap-664	110	23	t	t	PROPN
ap-664	110	24	mr	mr	PROPN
ap-664	110	25	mr	mr	PROPN
ap-664	110	26	e	e	PROPN
ap-664	110	27	e	e	PROPN
ap-664	110	28	t	t	PROPN
ap-664	110	29	t	t	PROPN
ap-664	110	30	�	�	PROPN
ap-664	110	31	�	�	PROPN
ap-664	110	32	�	�	PROPN
ap-664	110	33	1	1	NUM
ap-664	110	34	2	2	NUM
ap-664	110	35	1	1	NUM
ap-664	110	36	2	2	NUM
ap-664	110	37	0	0	NUM
ap-664	110	38	2	2	NUM
ap-664	110	39	0	0	NUM
ap-664	110	40	2	2	NUM
ap-664	110	41	2	2	NUM
ap-664	110	42	0	0	NUM
ap-664	110	43	0	0	NUM
ap-664	110	44	2	2	NUM
ap-664	110	45	�	�	PROPN
ap-664	110	46	�	�	PROPN
ap-664	110	47	�	�	PROPN
ap-664	110	48	�	�	PROPN
ap-664	110	49	.	.	PUNCT
ap-664	111	1	(	(	PUNCT
ap-664	111	2	a8	a8	PROPN
ap-664	111	3	)	)	PUNCT
ap-664	111	4	3	3	NUM
ap-664	111	5	.	.	X
ap-664	111	6	relation	relation	NOUN
ap-664	111	7	(	(	PUNCT
ap-664	111	8	11	11	NUM
ap-664	111	9	):	):	PUNCT
ap-664	111	10	note	note	NOUN
ap-664	111	11	:	:	PUNCT
ap-664	111	12	since	since	SCONJ
ap-664	111	13	the	the	DET
ap-664	111	14	height	height	NOUN
ap-664	111	15	of	of	ADP
ap-664	111	16	the	the	DET
ap-664	111	17	cylinder	cylinder	NOUN
ap-664	111	18	is	be	AUX
ap-664	111	19	small	small	ADJ
ap-664	111	20	in	in	ADP
ap-664	111	21	comparison	comparison	NOUN
ap-664	111	22	with	with	ADP
ap-664	111	23	its	its	PRON
ap-664	111	24	radius	radius	NOUN
ap-664	111	25	,	,	PUNCT
ap-664	111	26	the	the	DET
ap-664	111	27	axial	axial	ADJ
ap-664	111	28	stress	stress	NOUN
ap-664	111	29	is	be	AUX
ap-664	111	30	neglected	neglect	VERB
ap-664	111	31	.	.	PUNCT
ap-664	112	1	the	the	DET
ap-664	112	2	deformation	deformation	NOUN
ap-664	112	3	energy	energy	NOUN
ap-664	112	4	e	e	NOUN
ap-664	112	5	�	�	PROPN
ap-664	112	6	per	per	ADP
ap-664	112	7	volume	volume	NOUN
ap-664	112	8	unit	unit	NOUN
ap-664	112	9	corresponding	correspond	VERB
ap-664	112	10	to	to	ADP
ap-664	112	11	the	the	DET
ap-664	112	12	tension	tension	NOUN
ap-664	112	13	stress	stress	NOUN
ap-664	112	14	�	�	PROPN
ap-664	112	15	is	be	AUX
ap-664	112	16	:	:	PUNCT
ap-664	112	17	e	e	X
ap-664	112	18	v	v	ADP
ap-664	112	19	�	�	PROPN
ap-664	112	20	�	�	PROPN
ap-664	112	21	�	�	PROPN
ap-664	112	22	2	2	NUM
ap-664	112	23	2e	2e	NOUN
ap-664	112	24	[	[	X
ap-664	112	25	2	2	NUM
ap-664	112	26	]	]	PUNCT
ap-664	112	27	(	(	PUNCT
ap-664	112	28	a9	a9	NOUN
ap-664	112	29	)	)	PUNCT
ap-664	112	30	and	and	CCONJ
ap-664	112	31	e	e	PROPN
ap-664	112	32	v	v	ADP
ap-664	112	33	�	�	PROPN
ap-664	112	34	�	�	PROPN
ap-664	112	35	�	�	PROPN
ap-664	112	36	2	2	NUM
ap-664	112	37	2e	2e	NOUN
ap-664	112	38	,	,	PUNCT
ap-664	112	39	(	(	PUNCT
ap-664	112	40	a10	a10	NOUN
ap-664	112	41	)	)	PUNCT
ap-664	112	42	and	and	CCONJ
ap-664	112	43	in	in	ADP
ap-664	112	44	elementary	elementary	ADJ
ap-664	112	45	form	form	NOUN
ap-664	112	46	:	:	PUNCT
ap-664	112	47	d	d	X
ap-664	112	48	d	d	X
ap-664	112	49	e	e	X
ap-664	112	50	e	e	PROPN
ap-664	112	51	v	v	NUM
ap-664	112	52	�	�	PROPN
ap-664	112	53	�	�	PROPN
ap-664	112	54	�	�	PROPN
ap-664	112	55	2	2	NUM
ap-664	112	56	2	2	NUM
ap-664	112	57	.	.	PUNCT
ap-664	113	1	(	(	PUNCT
ap-664	113	2	a11	a11	PROPN
ap-664	113	3	)	)	PUNCT
ap-664	113	4	in	in	ADP
ap-664	113	5	the	the	DET
ap-664	113	6	case	case	NOUN
ap-664	113	7	that	that	SCONJ
ap-664	113	8	the	the	DET
ap-664	113	9	height	height	NOUN
ap-664	113	10	of	of	ADP
ap-664	113	11	the	the	DET
ap-664	113	12	rotating	rotate	VERB
ap-664	113	13	cylinder	cylinder	NOUN
ap-664	113	14	is	be	AUX
ap-664	113	15	small	small	ADJ
ap-664	113	16	in	in	ADP
ap-664	113	17	comparison	comparison	NOUN
ap-664	113	18	with	with	ADP
ap-664	113	19	its	its	PRON
ap-664	113	20	radius	radius	NOUN
ap-664	113	21	,	,	PUNCT
ap-664	113	22	radial	radial	ADJ
ap-664	113	23	and	and	CCONJ
ap-664	113	24	tangential	tangential	ADJ
ap-664	113	25	stress	stress	NOUN
ap-664	113	26	�	�	NOUN
ap-664	113	27	r	r	NOUN
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ap-664	113	30	t	t	PROPN
ap-664	113	31	,	,	PUNCT
ap-664	113	32	originating	originate	VERB
ap-664	113	33	from	from	ADP
ap-664	113	34	centrifugal	centrifugal	ADJ
ap-664	113	35	force	force	NOUN
ap-664	113	36	,	,	PUNCT
ap-664	113	37	can	can	AUX
ap-664	113	38	be	be	AUX
ap-664	113	39	expressed	express	VERB
ap-664	113	40	as	as	ADP
ap-664	113	41	(	(	PUNCT
ap-664	113	42	see	see	VERB
ap-664	113	43	fig	fig	NOUN
ap-664	113	44	.	.	PUNCT
ap-664	114	1	4	4	X
ap-664	114	2	)	)	PUNCT
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ap-664	114	7	(	(	PUNCT
ap-664	114	8	)	)	PUNCT
ap-664	114	9	(	(	PUNCT
ap-664	114	10	)	)	PUNCT
ap-664	114	11	r	r	NOUN
ap-664	114	12	r	r	NOUN
ap-664	114	13	rx	rx	VERB
ap-664	114	14	x	x	PROPN
ap-664	114	15	�	�	PROPN
ap-664	114	16	�	�	PROPN
ap-664	114	17	�	�	PROPN
ap-664	114	18	3	3	NUM
ap-664	114	19	8	8	NUM
ap-664	114	20	2	2	NUM
ap-664	114	21	2	2	NUM
ap-664	114	22	2	2	NUM
ap-664	114	23	�	�	PROPN
ap-664	114	24	(	(	PUNCT
ap-664	114	25	a12	a12	PROPN
ap-664	114	26	)	)	PUNCT
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ap-664	114	30	�	�	PROPN
ap-664	114	31	t	t	PROPN
ap-664	114	32	(	(	PUNCT
ap-664	114	33	)	)	PUNCT
ap-664	114	34	(	(	PUNCT
ap-664	114	35	(	(	PUNCT
ap-664	114	36	(	(	PUNCT
ap-664	114	37	)	)	PUNCT
ap-664	114	38	r	r	NOUN
ap-664	114	39	r	r	NOUN
ap-664	114	40	rx	rx	VERB
ap-664	114	41	x	x	PROPN
ap-664	114	42	�	�	PROPN
ap-664	114	43	�	�	PROPN
ap-664	114	44	�	�	PROPN
ap-664	114	45	�	�	PROPN
ap-664	114	46	2	2	NUM
ap-664	114	47	2	2	NUM
ap-664	114	48	2	2	NUM
ap-664	114	49	8	8	NUM
ap-664	114	50	3	3	NUM
ap-664	114	51	1	1	NUM
ap-664	114	52	3	3	NUM
ap-664	114	53	�	�	PROPN
ap-664	114	54	�	�	PROPN
ap-664	114	55	,	,	PUNCT
ap-664	114	56	[	[	X
ap-664	114	57	3	3	NUM
ap-664	114	58	]	]	X
ap-664	114	59	(	(	PUNCT
ap-664	114	60	a13	a13	PROPN
ap-664	114	61	)	)	PUNCT
ap-664	114	62	where	where	SCONJ
ap-664	114	63	rx	rx	NOUN
ap-664	114	64	is	be	AUX
ap-664	114	65	the	the	DET
ap-664	114	66	radius	radius	NOUN
ap-664	114	67	of	of	ADP
ap-664	114	68	stress	stress	NOUN
ap-664	114	69	action	action	NOUN
ap-664	114	70	.	.	PUNCT
ap-664	115	1	the	the	DET
ap-664	115	2	elementary	elementary	ADJ
ap-664	115	3	deformation	deformation	NOUN
ap-664	115	4	energy	energy	NOUN
ap-664	115	5	corresponding	correspond	VERB
ap-664	115	6	to	to	ADP
ap-664	115	7	the	the	DET
ap-664	115	8	radial	radial	ADJ
ap-664	115	9	and	and	CCONJ
ap-664	115	10	tangential	tangential	ADJ
ap-664	115	11	stress	stress	NOUN
ap-664	115	12	is	be	AUX
ap-664	115	13	d	d	X
ap-664	115	14	d	d	X
ap-664	115	15	e	e	PROPN
ap-664	115	16	r	r	NOUN
ap-664	115	17	t	t	NOUN
ap-664	115	18	r	r	NOUN
ap-664	115	19	te	te	ADP
ap-664	115	20	r	r	NOUN
ap-664	115	21	v	v	NOUN
ap-664	115	22	r	r	NOUN
ap-664	115	23	r	r	NOUN
ap-664	115	24	r	r	NOUN
ap-664	115	25	rx	rx	VERB
ap-664	115	26	x	x	NOUN
ap-664	115	27	x	x	SYM
ap-664	115	28	x	x	SYM
ap-664	115	29	x	x	PRON
ap-664	115	30	�	�	PROPN
ap-664	115	31	�	�	PROPN
ap-664	115	32	�	�	PROPN
ap-664	115	33	�	�	PROPN
ap-664	115	34	�	�	PROPN
ap-664	115	35	(	(	PUNCT
ap-664	115	36	)	)	PUNCT
ap-664	115	37	(	(	PUNCT
ap-664	115	38	(	(	PUNCT
ap-664	115	39	)	)	PUNCT
ap-664	115	40	(	(	PUNCT
ap-664	115	41	)	)	PUNCT
ap-664	115	42	(	(	PUNCT
ap-664	115	43	)	)	PUNCT
ap-664	115	44	(	(	PUNCT
ap-664	115	45	)	)	PUNCT
ap-664	115	46	)	)	PUNCT
ap-664	115	47	�	�	PROPN
ap-664	115	48	�	�	PROPN
ap-664	115	49	�	�	PROPN
ap-664	115	50	2	2	NUM
ap-664	115	51	22	22	NUM
ap-664	115	52	2	2	NUM
ap-664	115	53	�	�	PROPN
ap-664	115	54	.	.	PUNCT
ap-664	116	1	(	(	PUNCT
ap-664	116	2	a14	a14	NOUN
ap-664	116	3	)	)	PUNCT
ap-664	116	4	as	as	SCONJ
ap-664	116	5	shown	show	VERB
ap-664	116	6	in	in	ADP
ap-664	116	7	fig	fig	NOUN
ap-664	116	8	.	.	PUNCT
ap-664	117	1	4	4	NUM
ap-664	117	2	.	.	PUNCT
ap-664	117	3	:	:	PUNCT
ap-664	118	1	d	d	X
ap-664	118	2	d	d	X
ap-664	118	3	d	d	X
ap-664	118	4	dv	dv	PROPN
ap-664	118	5	ls	ls	PROPN
ap-664	118	6	r	r	NOUN
ap-664	118	7	h	h	NOUN
ap-664	118	8	rx	rx	PROPN
ap-664	118	9	�	�	PROPN
ap-664	118	10	�	�	PROPN
ap-664	118	11	�	�	PROPN
ap-664	118	12	.	.	PUNCT
ap-664	119	1	(	(	PUNCT
ap-664	119	2	a15	a15	NOUN
ap-664	119	3	)	)	PUNCT
ap-664	119	4	substituting	substitute	VERB
ap-664	119	5	relation	relation	NOUN
ap-664	119	6	(	(	PUNCT
ap-664	119	7	a15	a15	NOUN
ap-664	119	8	)	)	PUNCT
ap-664	119	9	in	in	ADP
ap-664	119	10	(	(	PUNCT
ap-664	119	11	a14	a14	NOUN
ap-664	119	12	)	)	PUNCT
ap-664	119	13	we	we	PRON
ap-664	119	14	obtain	obtain	VERB
ap-664	119	15	for	for	ADP
ap-664	119	16	elementary	elementary	ADJ
ap-664	119	17	deformation	deformation	NOUN
ap-664	119	18	energy	energy	NOUN
ap-664	119	19	:	:	PUNCT
ap-664	120	1	d	d	X
ap-664	120	2	e	e	X
ap-664	120	3	d	d	X
ap-664	120	4	d	d	X
ap-664	120	5	r	r	NOUN
ap-664	120	6	t	t	NOUN
ap-664	120	7	r	r	NOUN
ap-664	120	8	t	t	NOUN
ap-664	120	9	e	e	NOUN
ap-664	120	10	r	r	NOUN
ap-664	120	11	h	h	NOUN
ap-664	120	12	r	r	NOUN
ap-664	120	13	r	r	NOUN
ap-664	120	14	r	r	NOUN
ap-664	120	15	r	r	NOUN
ap-664	120	16	r	r	NOUN
ap-664	120	17	r	r	NOUN
ap-664	120	18	x	x	NOUN
ap-664	120	19	x	x	PUNCT
ap-664	120	20	x	x	PUNCT
ap-664	120	21	x	x	SYM
ap-664	120	22	x	x	SYM
ap-664	120	23	x	x	SYM
ap-664	120	24	�	�	PROPN
ap-664	120	25	�	�	PROPN
ap-664	120	26	�	�	PROPN
ap-664	120	27	�	�	PROPN
ap-664	120	28	�	�	PROPN
ap-664	120	29	�	�	PROPN
ap-664	120	30	(	(	PUNCT
ap-664	120	31	)	)	PUNCT
ap-664	120	32	(	(	PUNCT
ap-664	120	33	(	(	PUNCT
ap-664	120	34	)	)	PUNCT
ap-664	120	35	(	(	PUNCT
ap-664	120	36	)	)	PUNCT
ap-664	120	37	(	(	PUNCT
ap-664	120	38	)	)	PUNCT
ap-664	120	39	(	(	PUNCT
ap-664	120	40	)	)	PUNCT
ap-664	120	41	)	)	PUNCT
ap-664	120	42	�	�	PROPN
ap-664	120	43	�	�	PROPN
ap-664	120	44	�	�	PROPN
ap-664	120	45	�	�	PROPN
ap-664	120	46	2	2	NUM
ap-664	120	47	2	2	NUM
ap-664	120	48	2	2	NUM
ap-664	120	49	2	2	NUM
ap-664	120	50	�	�	PROPN
ap-664	120	51	�	�	PROPN
ap-664	120	52	(	(	PUNCT
ap-664	120	53	a16	a16	PROPN
ap-664	120	54	)	)	PUNCT
ap-664	120	55	substituting	substitute	VERB
ap-664	120	56	relations	relation	NOUN
ap-664	120	57	(	(	PUNCT
ap-664	120	58	a12	a12	NOUN
ap-664	120	59	)	)	PUNCT
ap-664	120	60	,	,	PUNCT
ap-664	120	61	(	(	PUNCT
ap-664	120	62	a13	a13	PROPN
ap-664	120	63	)	)	PUNCT
ap-664	120	64	in	in	ADP
ap-664	120	65	(	(	PUNCT
ap-664	120	66	a16	a16	PROPN
ap-664	120	67	)	)	PUNCT
ap-664	120	68	and	and	CCONJ
ap-664	120	69	integrating	integrate	VERB
ap-664	120	70	we	we	PRON
ap-664	120	71	obtain	obtain	VERB
ap-664	120	72	the	the	DET
ap-664	120	73	integral	integral	ADJ
ap-664	120	74	deformation	deformation	NOUN
ap-664	120	75	energy	energy	NOUN
ap-664	120	76	accumulated	accumulate	VERB
ap-664	120	77	in	in	ADP
ap-664	120	78	the	the	DET
ap-664	120	79	rotating	rotate	VERB
ap-664	120	80	cylinder	cylinder	NOUN
ap-664	120	81	:	:	PUNCT
ap-664	120	82	22	22	NUM
ap-664	120	83	©	©	PROPN
ap-664	120	84	czech	czech	PROPN
ap-664	120	85	technical	technical	PROPN
ap-664	120	86	university	university	PROPN
ap-664	120	87	publishing	publishing	NOUN
ap-664	120	88	housee	housee	PROPN
ap-664	120	89	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-664	120	90	acta	acta	PROPN
ap-664	120	91	polytechnica	polytechnica	PROPN
ap-664	120	92	vol	vol	NOUN
ap-664	120	93	.	.	PROPN
ap-664	121	1	45	45	NUM
ap-664	121	2	no	no	NOUN
ap-664	121	3	.	.	PUNCT
ap-664	122	1	1/2005	1/2005	NUM
ap-664	122	2	czech	czech	PROPN
ap-664	122	3	technical	technical	PROPN
ap-664	122	4	university	university	PROPN
ap-664	122	5	in	in	ADP
ap-664	122	6	prague	prague	NOUN
ap-664	122	7	e	e	X
ap-664	122	8	e	e	NOUN
ap-664	122	9	r	r	NOUN
ap-664	122	10	r	r	NOUN
ap-664	122	11	r	r	NOUN
ap-664	122	12	h	h	NOUN
ap-664	122	13	x	x	SYM
ap-664	122	14	r	r	NOUN
ap-664	122	15	�	�	PROPN
ap-664	122	16	�	�	PROPN
ap-664	122	17	�	�	PROPN
ap-664	122	18	�	�	PROPN
ap-664	122	19	�	�	PROPN
ap-664	122	20	�	�	PROPN
ap-664	122	21	�	�	PROPN
ap-664	122	22	�	�	PROPN
ap-664	122	23	�	�	PROPN
ap-664	122	24	�	�	PROPN
ap-664	122	25	�	�	PROPN
ap-664	122	26	�	�	PROPN
ap-664	122	27	�	�	PROPN
ap-664	122	28	�	�	PROPN
ap-664	122	29	�	�	PROPN
ap-664	122	30	�	�	PROPN
ap-664	122	31	d	d	PROPN
ap-664	122	32	d	d	PROPN
ap-664	122	33	d	d	X
ap-664	122	34	e	e	X
ap-664	122	35	(	(	PUNCT
ap-664	122	36	)	)	PUNCT
ap-664	122	37	(	(	PUNCT
ap-664	122	38	)	)	PUNCT
ap-664	122	39	0	0	NUM
ap-664	123	1	2	2	NUM
ap-664	123	2	0	0	NUM
ap-664	123	3	2	2	NUM
ap-664	123	4	4	4	NUM
ap-664	123	5	7	7	NUM
ap-664	123	6	448	448	NUM
ap-664	123	7	2	2	NUM
ap-664	123	8	3	3	NUM
ap-664	123	9	2	2	NUM
ap-664	123	10	3	3	NUM
ap-664	123	11	�	�	PROPN
ap-664	123	12	�	�	PROPN
ap-664	123	13	2	2	NUM
ap-664	123	14	23	23	NUM
ap-664	123	15	1	1	NUM
ap-664	123	16	3	3	NUM
ap-664	123	17	6	6	NUM
ap-664	123	18	1	1	NUM
ap-664	123	19	2	2	NUM
ap-664	123	20	1	1	NUM
ap-664	123	21	6	6	NUM
ap-664	123	22	1	1	NUM
ap-664	123	23	3	3	NUM
ap-664	123	24	�	�	PROPN
ap-664	123	25	�	�	PROPN
ap-664	123	26	�	�	PROPN
ap-664	123	27	�	�	PROPN
ap-664	123	28	�	�	PROPN
ap-664	123	29	�	�	PROPN
ap-664	123	30	�	�	PROPN
ap-664	123	31	�	�	PROPN
ap-664	123	32	�	�	PROPN
ap-664	123	33	�	�	PROPN
ap-664	123	34	�	�	PROPN
ap-664	123	35	�	�	PROPN
ap-664	123	36	(	(	PUNCT
ap-664	123	37	)	)	PUNCT
ap-664	123	38	(	(	PUNCT
ap-664	123	39	)	)	PUNCT
ap-664	123	40	(	(	PUNCT
ap-664	123	41	)	)	PUNCT
ap-664	123	42	.	.	PUNCT
ap-664	124	1	�	�	PROPN
ap-664	124	2	�	�	PROPN
ap-664	124	3	�	�	PROPN
ap-664	124	4	�	�	PROPN
ap-664	124	5	(	(	PUNCT
ap-664	124	6	a17	a17	PROPN
ap-664	124	7	)	)	PUNCT
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ap-664	124	9	[	[	X
ap-664	124	10	1	1	NUM
ap-664	124	11	]	]	PUNCT
ap-664	124	12	tipler	tipler	NOUN
ap-664	124	13	,	,	PUNCT
ap-664	124	14	p.	p.	NOUN
ap-664	124	15	a.	a.	NOUN
ap-664	124	16	:	:	PUNCT
ap-664	124	17	“	"	PUNCT
ap-664	124	18	physics	physics	NOUN
ap-664	124	19	.	.	PUNCT
ap-664	124	20	”	"	PUNCT
ap-664	125	1	new	new	PROPN
ap-664	125	2	york	york	PROPN
ap-664	125	3	,	,	PUNCT
ap-664	125	4	worth	worth	ADJ
ap-664	125	5	publisher	publisher	PROPN
ap-664	125	6	inc	inc	PROPN
ap-664	125	7	.	.	PROPN
ap-664	125	8	,	,	PUNCT
ap-664	125	9	1982	1982	NUM
ap-664	125	10	,	,	PUNCT
ap-664	125	11	p.	p.	NOUN
ap-664	125	12	80	80	NUM
ap-664	125	13	,	,	PUNCT
ap-664	125	14	295–297	295–297	NUM
ap-664	125	15	,	,	PUNCT
ap-664	125	16	495–496	495–496	NUM
ap-664	125	17	,	,	PUNCT
ap-664	125	18	498–500	498–500	NUM
ap-664	125	19	.	.	PUNCT
ap-664	126	1	[	[	X
ap-664	126	2	2	2	NUM
ap-664	126	3	]	]	X
ap-664	126	4	horák	horák	PROPN
ap-664	126	5	,	,	PUNCT
ap-664	126	6	z.	z.	PROPN
ap-664	126	7	,	,	PUNCT
ap-664	126	8	krupka	krupka	PROPN
ap-664	126	9	,	,	PUNCT
ap-664	126	10	f.	f.	PROPN
ap-664	126	11	,	,	PUNCT
ap-664	126	12	šindelář	šindelář	ADJ
ap-664	126	13	,	,	PUNCT
ap-664	126	14	v.	v.	ADV
ap-664	126	15	:	:	PUNCT
ap-664	126	16	„	„	PUNCT
ap-664	126	17	technická	technická	ADJ
ap-664	126	18	fyzika	fyzika	NOUN
ap-664	126	19	.	.	PUNCT
ap-664	126	20	“	"	PUNCT
ap-664	126	21	praha	praha	PROPN
ap-664	126	22	,	,	PUNCT
ap-664	126	23	sntl	sntl	PROPN
ap-664	126	24	,	,	PUNCT
ap-664	126	25	1960	1960	NUM
ap-664	126	26	,	,	PUNCT
ap-664	126	27	p.	p.	NOUN
ap-664	126	28	187–188	187–188	NUM
ap-664	126	29	,	,	PUNCT
ap-664	126	30	310	310	NUM
ap-664	126	31	,	,	PUNCT
ap-664	126	32	1411	1411	NUM
ap-664	126	33	.	.	PUNCT
ap-664	127	1	[	[	X
ap-664	127	2	3	3	NUM
ap-664	127	3	]	]	X
ap-664	127	4	michalec	michalec	NOUN
ap-664	127	5	,	,	PUNCT
ap-664	127	6	j.	j.	PROPN
ap-664	127	7	et	et	PROPN
ap-664	127	8	al	al	PROPN
ap-664	127	9	.	.	PROPN
ap-664	127	10	:	:	PUNCT
ap-664	127	11	„	„	PUNCT
ap-664	127	12	pružnost	pružnost	X
ap-664	127	13	a	a	DET
ap-664	127	14	pevnost	pevnost	NOUN
ap-664	127	15	ii	ii	NOUN
ap-664	127	16	.	.	PUNCT
ap-664	127	17	“	"	PUNCT
ap-664	127	18	praha	praha	PROPN
ap-664	127	19	,	,	PUNCT
ap-664	127	20	vydavatelství	vydavatelství	PROPN
ap-664	127	21	čvut	čvut	PROPN
ap-664	127	22	,	,	PUNCT
ap-664	127	23	2001	2001	NUM
ap-664	127	24	,	,	PUNCT
ap-664	127	25	p.	p.	NOUN
ap-664	127	26	78–82	78–82	NUM
ap-664	127	27	.	.	PUNCT
ap-664	128	1	[	[	X
ap-664	128	2	4	4	NUM
ap-664	128	3	]	]	PUNCT
ap-664	128	4	landau	landau	NOUN
ap-664	128	5	,	,	PUNCT
ap-664	128	6	l.	l.	PROPN
ap-664	128	7	d.	d.	PROPN
ap-664	128	8	,	,	PUNCT
ap-664	128	9	lifschitz	lifschitz	PROPN
ap-664	128	10	,	,	PUNCT
ap-664	128	11	e.	e.	PROPN
ap-664	128	12	m.	m.	PROPN
ap-664	128	13	:	:	PUNCT
ap-664	128	14	“	"	PUNCT
ap-664	128	15	lehrbuch	lehrbuch	ADJ
ap-664	128	16	der	der	NOUN
ap-664	128	17	theoretischen	theoretischen	PROPN
ap-664	128	18	physik	physik	PROPN
ap-664	128	19	v	v	PROPN
ap-664	128	20	:	:	PUNCT
ap-664	128	21	statistische	statistische	PROPN
ap-664	128	22	physik	physik	PROPN
ap-664	128	23	.	.	PUNCT
ap-664	128	24	”	"	PUNCT
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ap-664	129	2	,	,	PUNCT
ap-664	129	3	akademie	akademie	PROPN
ap-664	129	4	-	-	PUNCT
ap-664	129	5	verlag	verlag	PROPN
ap-664	129	6	,	,	PUNCT
ap-664	129	7	1966	1966	NUM
ap-664	129	8	,	,	PUNCT
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ap-664	129	10	.	.	PROPN
ap-664	129	11	2	2	NUM
ap-664	129	12	,	,	PUNCT
ap-664	129	13	§	§	NOUN
ap-664	129	14	10	10	NUM
ap-664	129	15	,	,	PUNCT
ap-664	129	16	p.	p.	NOUN
ap-664	129	17	38–40	38–40	NUM
ap-664	129	18	.	.	PUNCT
ap-664	130	1	doc	doc	PROPN
ap-664	130	2	.	.	PROPN
ap-664	131	1	ing	ing	PROPN
ap-664	131	2	.	.	PUNCT
ap-664	132	1	oldřich	oldřich	PROPN
ap-664	132	2	brůha	brůha	PROPN
ap-664	132	3	,	,	PUNCT
ap-664	132	4	csc	csc	PROPN
ap-664	132	5	.	.	PROPN
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ap-664	132	7	:	:	PUNCT
ap-664	132	8	+420	+420	NUM
ap-664	132	9	602	602	NUM
ap-664	132	10	458	458	NUM
ap-664	132	11	314	314	NUM
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ap-664	132	13	:	:	PUNCT
ap-664	132	14	+420	+420	NUM
ap-664	132	15	251	251	NUM
ap-664	132	16	561	561	NUM
ap-664	132	17	115	115	NUM
ap-664	133	1	e	e	NOUN
ap-664	133	2	-	-	NOUN
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ap-664	133	4	:	:	PUNCT
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ap-664	133	6	department	department	PROPN
ap-664	133	7	of	of	ADP
ap-664	133	8	physics	physics	PROPN
ap-664	133	9	czech	czech	PROPN
ap-664	133	10	technical	technical	PROPN
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ap-664	133	12	in	in	ADP
ap-664	133	13	prague	prague	PROPN
ap-664	133	14	faculty	faculty	NOUN
ap-664	133	15	of	of	ADP
ap-664	133	16	mechanical	mechanical	ADJ
ap-664	133	17	engineering	engineering	NOUN
ap-664	133	18	technická	technická	NOUN
ap-664	133	19	4	4	NUM
ap-664	133	20	166	166	NUM
ap-664	133	21	07	07	NUM
ap-664	133	22	praha	praha	PROPN
ap-664	133	23	6	6	NUM
ap-664	133	24	,	,	PUNCT
ap-664	133	25	czech	czech	PROPN
ap-664	133	26	republic	republic	NOUN
ap-664	133	27	ing	ing	PROPN
ap-664	133	28	.	.	PUNCT
ap-664	134	1	tomáš	tomáš	PROPN
ap-664	134	2	brůha	brůha	ADJ
ap-664	134	3	phone	phone	NOUN
ap-664	134	4	:	:	PUNCT
ap-664	134	5	+420	+420	PROPN
ap-664	134	6	777	777	NUM
ap-664	134	7	895	895	NUM
ap-664	134	8	762	762	NUM
ap-664	134	9	e	e	NOUN
ap-664	134	10	-	-	NOUN
ap-664	134	11	mail	mail	NOUN
ap-664	134	12	:	:	PUNCT
ap-664	134	13	enex@volny.cz	enex@volny.cz	PROPN
ap-664	134	14	enex	enex	PROPN
ap-664	134	15	s.r.o	s.r.o	PROPN
ap-664	134	16	.	.	PUNCT
ap-664	135	1	na	na	AUX
ap-664	135	2	míčánce	míčánce	NOUN
ap-664	135	3	13	13	NUM
ap-664	135	4	160	160	NUM
ap-664	135	5	00	00	NUM
ap-664	135	6	praha	praha	PROPN
ap-664	135	7	6	6	NUM
ap-664	135	8	,	,	PUNCT
ap-664	135	9	czech	czech	PROPN
ap-664	135	10	republic	republic	NOUN
ap-664	135	11	©	©	PROPN
ap-664	135	12	czech	czech	PROPN
ap-664	135	13	technical	technical	PROPN
ap-664	135	14	university	university	PROPN
ap-664	135	15	publishing	publishing	NOUN
ap-664	135	16	housee	housee	PROPN
ap-664	135	17	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-664	135	18	23	23	NUM
ap-664	135	19	czech	czech	PROPN
ap-664	135	20	technical	technical	PROPN
ap-664	135	21	university	university	PROPN
ap-664	135	22	in	in	ADP
ap-664	135	23	prague	prague	PROPN
ap-664	135	24	acta	acta	PROPN
ap-664	135	25	polytechnica	polytechnica	PROPN
ap-664	135	26	vol	vol	NOUN
ap-664	135	27	.	.	PROPN
ap-664	136	1	45	45	NUM
ap-664	136	2	no	no	NOUN
ap-664	136	3	.	.	PUNCT
ap-664	137	1	1/2005	1/2005	INTJ
ap-664	137	2	dm	dm	NUM
ap-664	137	3	r	r	NOUN
ap-664	137	4	�	�	PROPN
ap-664	137	5	2	2	NUM
ap-664	137	6	x	x	SYM
ap-664	137	7	d	d	PROPN
ap-664	137	8	/2	/2	PROPN
ap-664	137	9	�	�	PROPN
ap-664	137	10	d	d	SYM
ap-664	137	11	�	�	PROPN
ap-664	137	12	d	d	PROPN
ap-664	137	13	/2	/2	PROPN
ap-664	137	14	�	�	PROPN
ap-664	137	15	�	�	PROPN
ap-664	137	16	t	t	PROPN
ap-664	137	17	h	h	PROPN
ap-664	137	18	rd	rd	PROPN
ap-664	137	19	�	�	PROPN
ap-664	137	20	t	t	PROPN
ap-664	137	21	h	h	PROPN
ap-664	137	22	rd	rd	PROPN
ap-664	138	1	(	(	PUNCT
ap-664	138	2	d	d	NOUN
ap-664	138	3	)	)	PUNCT
ap-664	138	4	d	d	X
ap-664	138	5	�	�	PROPN
ap-664	138	6	�	�	PROPN
ap-664	138	7	�	�	PROPN
ap-664	138	8	�	�	PROPN
ap-664	138	9	r	r	NOUN
ap-664	138	10	r	r	NOUN
ap-664	138	11	hrx	hrx	NOUN
ap-664	138	12	�	�	PROPN
ap-664	138	13	�	�	PROPN
ap-664	138	14	r	r	NOUN
ap-664	138	15	d	d	NOUN
ap-664	138	16	h	h	NOUN
ap-664	138	17	rx	rx	NOUN
ap-664	138	18	h	h	PROPN
ap-664	138	19	dl	dl	PROPN
ap-664	138	20	�	�	PROPN
ap-664	138	21	drrx	drrx	ADJ
ap-664	138	22	fig	fig	NOUN
ap-664	138	23	.	.	PUNCT
ap-664	139	1	4	4	NUM
ap-664	139	2	:	:	PUNCT
ap-664	139	3	centrifugal	centrifugal	ADJ
ap-664	139	4	and	and	CCONJ
ap-664	139	5	stress	stress	NOUN
ap-664	139	6	forces	force	NOUN
ap-664	139	7	in	in	ADP
ap-664	139	8	a	a	DET
ap-664	139	9	rotating	rotate	VERB
ap-664	139	10	cylinder	cylinder	NOUN