id	sid	tid	token	lemma	pos
ijassa-270	1	1	microsoft	microsoft	PROPN
ijassa-270	1	2	word	word	PROPN
ijassa-270	1	3	1	1	NUM
ijassa-270	1	4	-	-	PUNCT
ijassa-270	1	5	robert	robert	NOUN
ijassa-270	1	6	vallee.doc	vallee.doc	PROPN
ijassa-270	1	7	advances	advance	NOUN
ijassa-270	1	8	in	in	ADP
ijassa-270	1	9	systems	system	NOUN
ijassa-270	1	10	science	science	NOUN
ijassa-270	1	11	and	and	CCONJ
ijassa-270	1	12	applications	application	NOUN
ijassa-270	1	13	(	(	PUNCT
ijassa-270	1	14	2010	2010	NUM
ijassa-270	1	15	)	)	PUNCT
ijassa-270	1	16	,	,	PUNCT
ijassa-270	1	17	vol.10	vol.10	NOUN
ijassa-270	1	18	,	,	PUNCT
ijassa-270	1	19	no.1	no.1	VERB
ijassa-270	1	20	1	1	NUM
ijassa-270	1	21	-	-	SYM
ijassa-270	1	22	5	5	NUM
ijassa-270	1	23	issn	issn	PROPN
ijassa-270	1	24	1078	1078	NUM
ijassa-270	1	25	-	-	SYM
ijassa-270	1	26	6236	6236	NUM
ijassa-270	1	27	international	international	PROPN
ijassa-270	1	28	institute	institute	NOUN
ijassa-270	1	29	for	for	ADP
ijassa-270	1	30	general	general	ADJ
ijassa-270	1	31	systems	system	NOUN
ijassa-270	1	32	studies	study	NOUN
ijassa-270	1	33	,	,	PUNCT
ijassa-270	1	34	inc	inc	PROPN
ijassa-270	1	35	.	.	PROPN
ijassa-270	1	36	internal	internal	ADJ
ijassa-270	1	37	time	time	NOUN
ijassa-270	1	38	of	of	ADP
ijassa-270	1	39	a	a	DET
ijassa-270	1	40	dynamical	dynamical	ADJ
ijassa-270	1	41	system	system	NOUN
ijassa-270	1	42	robert	robert	PROPN
ijassa-270	1	43	vallée	vallée	PROPN
ijassa-270	1	44	professor	professor	PROPN
ijassa-270	1	45	emeritus	emeritus	PROPN
ijassa-270	1	46	université	université	PROPN
ijassa-270	1	47	paris	paris	PROPN
ijassa-270	1	48	-	-	PUNCT
ijassa-270	1	49	nord	nord	PROPN
ijassa-270	1	50	,	,	PUNCT
ijassa-270	1	51	president	president	NOUN
ijassa-270	1	52	of	of	ADP
ijassa-270	1	53	wosc	wosc	ADJ
ijassa-270	1	54	email	email	NOUN
ijassa-270	1	55	:	:	PUNCT
ijassa-270	1	56	r.vallee@afscet.asso.fr	r.vallee@afscet.asso.fr	NOUN
ijassa-270	1	57	abstract	abstract	NOUN
ijassa-270	1	58	we	we	PRON
ijassa-270	1	59	have	have	VERB
ijassa-270	1	60	a	a	DET
ijassa-270	1	61	dynamical	dynamical	ADJ
ijassa-270	1	62	system	system	NOUN
ijassa-270	1	63	.	.	PUNCT
ijassa-270	2	1	the	the	DET
ijassa-270	2	2	evolution	evolution	NOUN
ijassa-270	2	3	of	of	ADP
ijassa-270	2	4	its	its	PRON
ijassa-270	2	5	state	state	NOUN
ijassa-270	2	6	,	,	PUNCT
ijassa-270	2	7	x(t	x(t	PROPN
ijassa-270	2	8	)	)	PUNCT
ijassa-270	2	9	at	at	ADP
ijassa-270	2	10	instant	instant	ADJ
ijassa-270	2	11	t	t	PROPN
ijassa-270	2	12	,	,	PUNCT
ijassa-270	2	13	is	be	AUX
ijassa-270	2	14	given	give	VERB
ijassa-270	2	15	by	by	ADP
ijassa-270	2	16	a	a	DET
ijassa-270	2	17	differential	differential	ADJ
ijassa-270	2	18	equation	equation	NOUN
ijassa-270	2	19	dx(t)/dt	dx(t)/dt	NOUN
ijassa-270	2	20	=	=	SYM
ijassa-270	2	21	f(x(t),t	f(x(t),t	NOUN
ijassa-270	2	22	)	)	PUNCT
ijassa-270	2	23	,	,	PUNCT
ijassa-270	2	24	independent	independent	ADJ
ijassa-270	2	25	of	of	ADP
ijassa-270	2	26	the	the	DET
ijassa-270	2	27	environment	environment	NOUN
ijassa-270	2	28	.	.	PUNCT
ijassa-270	3	1	we	we	PRON
ijassa-270	3	2	propose	propose	VERB
ijassa-270	3	3	to	to	PART
ijassa-270	3	4	introduce	introduce	VERB
ijassa-270	3	5	a	a	DET
ijassa-270	3	6	time	time	NOUN
ijassa-270	3	7	s	s	NOUN
ijassa-270	3	8	,	,	PUNCT
ijassa-270	3	9	or	or	CCONJ
ijassa-270	3	10	internal	internal	ADJ
ijassa-270	3	11	time	time	NOUN
ijassa-270	3	12	,	,	PUNCT
ijassa-270	3	13	different	different	ADJ
ijassa-270	3	14	from	from	ADP
ijassa-270	3	15	time	time	NOUN
ijassa-270	3	16	t	t	PROPN
ijassa-270	3	17	,	,	PUNCT
ijassa-270	3	18	or	or	CCONJ
ijassa-270	3	19	reference	reference	NOUN
ijassa-270	3	20	time	time	NOUN
ijassa-270	3	21	.	.	PUNCT
ijassa-270	4	1	for	for	ADP
ijassa-270	4	2	this	this	DET
ijassa-270	4	3	purpose	purpose	NOUN
ijassa-270	4	4	we	we	PRON
ijassa-270	4	5	consider	consider	VERB
ijassa-270	4	6	duration	duration	NOUN
ijassa-270	4	7	,	,	PUNCT
ijassa-270	4	8	or	or	CCONJ
ijassa-270	4	9	time	time	NOUN
ijassa-270	4	10	elapsed	elapse	VERB
ijassa-270	4	11	between	between	ADP
ijassa-270	4	12	two	two	NUM
ijassa-270	4	13	instants	instant	NOUN
ijassa-270	4	14	.	.	PUNCT
ijassa-270	5	1	reference	reference	NOUN
ijassa-270	5	2	duration	duration	NOUN
ijassa-270	5	3	,	,	PUNCT
ijassa-270	5	4	between	between	ADP
ijassa-270	5	5	instants	instant	NOUN
ijassa-270	5	6	t1	t1	NOUN
ijassa-270	5	7	and	and	CCONJ
ijassa-270	5	8	t2	t2	NOUN
ijassa-270	5	9	is	be	AUX
ijassa-270	5	10	obviously	obviously	ADV
ijassa-270	5	11	given	give	VERB
ijassa-270	5	12	by	by	ADP
ijassa-270	5	13	dr(t1,t2	dr(t1,t2	NOUN
ijassa-270	5	14	)	)	PUNCT
ijassa-270	6	1	=	=	SYM
ijassa-270	6	2	t2	t2	NOUN
ijassa-270	6	3	-	-	PUNCT
ijassa-270	6	4	t1	t1	NOUN
ijassa-270	6	5	.	.	PUNCT
ijassa-270	7	1	any	any	DET
ijassa-270	7	2	duration	duration	NOUN
ijassa-270	7	3	,	,	PUNCT
ijassa-270	7	4	for	for	ADP
ijassa-270	7	5	example	example	NOUN
ijassa-270	7	6	internal	internal	ADJ
ijassa-270	7	7	duration	duration	NOUN
ijassa-270	7	8	di(t1,t2	di(t1,t2	NOUN
ijassa-270	7	9	)	)	PUNCT
ijassa-270	7	10	,	,	PUNCT
ijassa-270	7	11	must	must	AUX
ijassa-270	7	12	satisfy	satisfy	VERB
ijassa-270	7	13	certain	certain	ADJ
ijassa-270	7	14	conditions	condition	NOUN
ijassa-270	7	15	.	.	PUNCT
ijassa-270	8	1	once	once	SCONJ
ijassa-270	8	2	we	we	PRON
ijassa-270	8	3	have	have	VERB
ijassa-270	8	4	an	an	DET
ijassa-270	8	5	internal	internal	ADJ
ijassa-270	8	6	duration	duration	NOUN
ijassa-270	8	7	di(t1,t2	di(t1,t2	NOUN
ijassa-270	8	8	)	)	PUNCT
ijassa-270	8	9	,	,	PUNCT
ijassa-270	8	10	we	we	PRON
ijassa-270	8	11	can	can	AUX
ijassa-270	8	12	generate	generate	VERB
ijassa-270	8	13	an	an	DET
ijassa-270	8	14	internal	internal	ADJ
ijassa-270	8	15	time	time	NOUN
ijassa-270	8	16	s	s	PART
ijassa-270	8	17	=	=	NOUN
ijassa-270	8	18	di(t0,t	di(t0,t	PROPN
ijassa-270	8	19	)	)	PUNCT
ijassa-270	8	20	.	.	PUNCT
ijassa-270	9	1	the	the	DET
ijassa-270	9	2	choice	choice	NOUN
ijassa-270	9	3	of	of	ADP
ijassa-270	9	4	di(t1,t2	di(t1,t2	NOUN
ijassa-270	9	5	)	)	PUNCT
ijassa-270	9	6	depends	depend	VERB
ijassa-270	9	7	upon	upon	SCONJ
ijassa-270	9	8	the	the	DET
ijassa-270	9	9	“	"	PUNCT
ijassa-270	9	10	weight	weight	NOUN
ijassa-270	9	11	”	"	PUNCT
ijassa-270	9	12	of	of	ADP
ijassa-270	9	13	reference	reference	NOUN
ijassa-270	9	14	duration	duration	NOUN
ijassa-270	9	15	t2	t2	NOUN
ijassa-270	9	16	-	-	PUNCT
ijassa-270	9	17	t1	t1	PROPN
ijassa-270	9	18	,	,	PUNCT
ijassa-270	9	19	seen	see	VERB
ijassa-270	9	20	from	from	ADP
ijassa-270	9	21	the	the	DET
ijassa-270	9	22	internal	internal	ADJ
ijassa-270	9	23	point	point	NOUN
ijassa-270	9	24	of	of	ADP
ijassa-270	9	25	view	view	NOUN
ijassa-270	9	26	,	,	PUNCT
ijassa-270	9	27	or	or	CCONJ
ijassa-270	9	28	equivalently	equivalently	ADV
ijassa-270	9	29	that	that	PRON
ijassa-270	9	30	of	of	ADP
ijassa-270	9	31	infinitesimal	infinitesimal	ADJ
ijassa-270	9	32	reference	reference	NOUN
ijassa-270	9	33	duration	duration	NOUN
ijassa-270	9	34	dt	dt	NOUN
ijassa-270	9	35	between	between	ADP
ijassa-270	9	36	t	t	PROPN
ijassa-270	9	37	and	and	CCONJ
ijassa-270	9	38	t+dt	t+dt	NOUN
ijassa-270	9	39	.	.	PUNCT
ijassa-270	10	1	we	we	PRON
ijassa-270	10	2	propose	propose	VERB
ijassa-270	10	3	that	that	SCONJ
ijassa-270	10	4	the	the	DET
ijassa-270	10	5	internal	internal	ADJ
ijassa-270	10	6	duration	duration	NOUN
ijassa-270	10	7	corresponding	correspond	VERB
ijassa-270	10	8	to	to	PART
ijassa-270	10	9	reference	reference	VERB
ijassa-270	10	10	duration	duration	NOUN
ijassa-270	10	11	dt	dt	NOUN
ijassa-270	10	12	is	be	AUX
ijassa-270	10	13	equal	equal	ADJ
ijassa-270	10	14	to	to	ADP
ijassa-270	10	15	(	(	PUNCT
ijassa-270	10	16	d(x(t)/dt)2	d(x(t)/dt)2	NOUN
ijassa-270	10	17	dt	dt	NOUN
ijassa-270	10	18	.	.	PUNCT
ijassa-270	11	1	in	in	ADP
ijassa-270	11	2	a	a	DET
ijassa-270	11	3	way	way	NOUN
ijassa-270	11	4	(	(	PUNCT
ijassa-270	11	5	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	11	6	is	be	AUX
ijassa-270	11	7	an	an	DET
ijassa-270	11	8	index	index	NOUN
ijassa-270	11	9	of	of	ADP
ijassa-270	11	10	the	the	DET
ijassa-270	11	11	“	"	PUNCT
ijassa-270	11	12	importance	importance	NOUN
ijassa-270	11	13	”	"	PUNCT
ijassa-270	11	14	of	of	ADP
ijassa-270	11	15	instant	instant	ADJ
ijassa-270	11	16	t.	t.	NOUN
ijassa-270	11	17	as	as	ADP
ijassa-270	11	18	an	an	DET
ijassa-270	11	19	example	example	NOUN
ijassa-270	11	20	,	,	PUNCT
ijassa-270	11	21	we	we	PRON
ijassa-270	11	22	consider	consider	VERB
ijassa-270	11	23	an	an	DET
ijassa-270	11	24	“	"	PUNCT
ijassa-270	11	25	explosive	explosive	ADJ
ijassa-270	11	26	-	-	PUNCT
ijassa-270	11	27	implosive	implosive	ADJ
ijassa-270	11	28	”	"	PUNCT
ijassa-270	11	29	dynamical	dynamical	ADJ
ijassa-270	11	30	system	system	NOUN
ijassa-270	11	31	described	describe	VERB
ijassa-270	11	32	by	by	ADP
ijassa-270	11	33	a	a	DET
ijassa-270	11	34	certain	certain	ADJ
ijassa-270	11	35	evolution	evolution	NOUN
ijassa-270	11	36	equation	equation	NOUN
ijassa-270	11	37	.	.	PUNCT
ijassa-270	12	1	the	the	DET
ijassa-270	12	2	corresponding	corresponding	ADJ
ijassa-270	12	3	internal	internal	ADJ
ijassa-270	12	4	time	time	NOUN
ijassa-270	12	5	varies	vary	VERB
ijassa-270	12	6	from	from	ADP
ijassa-270	12	7	-∞	-∞	PUNCT
ijassa-270	12	8	to	to	ADP
ijassa-270	12	9	+	+	NOUN
ijassa-270	12	10	∞	∞	NOUN
ijassa-270	12	11	while	while	SCONJ
ijassa-270	12	12	reference	reference	NOUN
ijassa-270	12	13	time	time	NOUN
ijassa-270	12	14	varies	vary	VERB
ijassa-270	12	15	from	from	ADP
ijassa-270	12	16	0	0	NUM
ijassa-270	12	17	to	to	ADP
ijassa-270	12	18	+	+	PROPN
ijassa-270	12	19	∞.	∞.	PROPN
ijassa-270	12	20	interpretations	interpretation	NOUN
ijassa-270	12	21	(	(	PUNCT
ijassa-270	12	22	physiology	physiology	NOUN
ijassa-270	12	23	,	,	PUNCT
ijassa-270	12	24	cosmology	cosmology	PROPN
ijassa-270	12	25	)	)	PUNCT
ijassa-270	12	26	are	be	AUX
ijassa-270	12	27	given	give	VERB
ijassa-270	12	28	.	.	PUNCT
ijassa-270	13	1	keywords	keyword	VERB
ijassa-270	13	2	explosion	explosion	NOUN
ijassa-270	13	3	-	-	PUNCT
ijassa-270	13	4	implosion	implosion	NOUN
ijassa-270	13	5	internal	internal	ADJ
ijassa-270	13	6	duration	duration	NOUN
ijassa-270	13	7	cosmological	cosmological	ADJ
ijassa-270	13	8	time	time	NOUN
ijassa-270	13	9	1	1	NUM
ijassa-270	13	10	.	.	PUNCT
ijassa-270	14	1	introduction	introduction	NOUN
ijassa-270	14	2	we	we	PRON
ijassa-270	14	3	want	want	VERB
ijassa-270	14	4	to	to	PART
ijassa-270	14	5	give	give	VERB
ijassa-270	14	6	a	a	DET
ijassa-270	14	7	definition	definition	NOUN
ijassa-270	14	8	of	of	ADP
ijassa-270	14	9	the	the	DET
ijassa-270	14	10	internal	internal	ADJ
ijassa-270	14	11	time	time	NOUN
ijassa-270	14	12	,	,	PUNCT
ijassa-270	14	13	or	or	CCONJ
ijassa-270	14	14	intrinsic	intrinsic	ADJ
ijassa-270	14	15	time	time	NOUN
ijassa-270	14	16	of	of	ADP
ijassa-270	14	17	a	a	DET
ijassa-270	14	18	dynamical	dynamical	ADJ
ijassa-270	14	19	system	system	NOUN
ijassa-270	14	20	evolving	evolve	VERB
ijassa-270	14	21	independently	independently	ADV
ijassa-270	14	22	of	of	ADP
ijassa-270	14	23	its	its	PRON
ijassa-270	14	24	environment	environment	NOUN
ijassa-270	14	25	.	.	PUNCT
ijassa-270	15	1	we	we	PRON
ijassa-270	15	2	proposed	propose	VERB
ijassa-270	15	3	this	this	DET
ijassa-270	15	4	definition	definition	NOUN
ijassa-270	15	5	for	for	ADP
ijassa-270	15	6	the	the	DET
ijassa-270	15	7	first	first	ADJ
ijassa-270	15	8	time	time	NOUN
ijassa-270	15	9	in	in	ADP
ijassa-270	15	10	1996	1996	NUM
ijassa-270	15	11	.	.	PUNCT
ijassa-270	16	1	we	we	PRON
ijassa-270	16	2	developed	develop	VERB
ijassa-270	16	3	it	it	PRON
ijassa-270	16	4	mainly	mainly	ADV
ijassa-270	16	5	in	in	ADP
ijassa-270	16	6	an	an	DET
ijassa-270	16	7	article	article	NOUN
ijassa-270	16	8	(	(	PUNCT
ijassa-270	16	9	vallée	vallée	NOUN
ijassa-270	16	10	,	,	PUNCT
ijassa-270	16	11	2005	2005	NUM
ijassa-270	16	12	)	)	PUNCT
ijassa-270	16	13	which	which	PRON
ijassa-270	16	14	the	the	DET
ijassa-270	16	15	present	present	ADJ
ijassa-270	16	16	text	text	NOUN
ijassa-270	16	17	reproduces	reproduce	VERB
ijassa-270	16	18	partly	partly	ADV
ijassa-270	16	19	.	.	PUNCT
ijassa-270	17	1	the	the	DET
ijassa-270	17	2	notion	notion	NOUN
ijassa-270	17	3	of	of	ADP
ijassa-270	17	4	internal	internal	ADJ
ijassa-270	17	5	timeis	timeis	NUM
ijassa-270	17	6	opposed	opposed	ADJ
ijassa-270	17	7	to	to	ADP
ijassa-270	17	8	that	that	PRON
ijassa-270	17	9	of	of	ADP
ijassa-270	17	10	external	external	ADJ
ijassa-270	17	11	time	time	NOUN
ijassa-270	17	12	,	,	PUNCT
ijassa-270	17	13	or	or	CCONJ
ijassa-270	17	14	reference	reference	NOUN
ijassa-270	17	15	time	time	NOUN
ijassa-270	17	16	,	,	PUNCT
ijassa-270	17	17	taken	take	VERB
ijassa-270	17	18	for	for	ADP
ijassa-270	17	19	granted	grant	VERB
ijassa-270	17	20	and	and	CCONJ
ijassa-270	17	21	which	which	PRON
ijassa-270	17	22	is	be	AUX
ijassa-270	17	23	used	use	VERB
ijassa-270	17	24	in	in	ADP
ijassa-270	17	25	the	the	DET
ijassa-270	17	26	evolution	evolution	NOUN
ijassa-270	17	27	equation	equation	NOUN
ijassa-270	17	28	.	.	PUNCT
ijassa-270	18	1	the	the	DET
ijassa-270	18	2	basic	basic	ADJ
ijassa-270	18	3	idea	idea	NOUN
ijassa-270	18	4	is	be	AUX
ijassa-270	18	5	that	that	SCONJ
ijassa-270	18	6	the	the	DET
ijassa-270	18	7	internal	internal	ADJ
ijassa-270	18	8	time	time	NOUN
ijassa-270	18	9	does	do	AUX
ijassa-270	18	10	not	not	PART
ijassa-270	18	11	elapse	elapse	VERB
ijassa-270	18	12	if	if	SCONJ
ijassa-270	18	13	the	the	DET
ijassa-270	18	14	state	state	NOUN
ijassa-270	18	15	of	of	ADP
ijassa-270	18	16	the	the	DET
ijassa-270	18	17	system	system	NOUN
ijassa-270	18	18	does	do	AUX
ijassa-270	18	19	not	not	PART
ijassa-270	18	20	change	change	VERB
ijassa-270	18	21	,	,	PUNCT
ijassa-270	18	22	a	a	DET
ijassa-270	18	23	conception	conception	NOUN
ijassa-270	18	24	close	close	ADV
ijassa-270	18	25	to	to	ADP
ijassa-270	18	26	that	that	PRON
ijassa-270	18	27	of	of	ADP
ijassa-270	18	28	aristotle	aristotle	PROPN
ijassa-270	18	29	for	for	ADP
ijassa-270	18	30	whom	whom	PRON
ijassa-270	18	31	time	time	NOUN
ijassa-270	18	32	ceases	cease	VERB
ijassa-270	18	33	to	to	PART
ijassa-270	18	34	be	be	AUX
ijassa-270	18	35	known	know	VERB
ijassa-270	18	36	when	when	SCONJ
ijassa-270	18	37	the	the	DET
ijassa-270	18	38	“	"	PUNCT
ijassa-270	18	39	soul	soul	NOUN
ijassa-270	18	40	”	"	PUNCT
ijassa-270	18	41	does	do	AUX
ijassa-270	18	42	not	not	PART
ijassa-270	18	43	vary	vary	VERB
ijassa-270	18	44	.	.	PUNCT
ijassa-270	19	1	so	so	ADV
ijassa-270	19	2	if	if	SCONJ
ijassa-270	19	3	x(t	x(t	PROPN
ijassa-270	19	4	)	)	PUNCT
ijassa-270	19	5	,	,	PUNCT
ijassa-270	19	6	belonging	belong	VERB
ijassa-270	19	7	to	to	ADP
ijassa-270	19	8	a	a	DET
ijassa-270	19	9	finite	finite	ADJ
ijassa-270	19	10	dimensional	dimensional	ADJ
ijassa-270	19	11	linear	linear	ADJ
ijassa-270	19	12	space	space	NOUN
ijassa-270	19	13	,	,	PUNCT
ijassa-270	19	14	is	be	AUX
ijassa-270	19	15	the	the	DET
ijassa-270	19	16	state	state	NOUN
ijassa-270	19	17	of	of	ADP
ijassa-270	19	18	the	the	DET
ijassa-270	19	19	system	system	NOUN
ijassa-270	19	20	at	at	ADP
ijassa-270	19	21	reference	reference	NOUN
ijassa-270	19	22	instant	instant	PROPN
ijassa-270	19	23	t	t	PROPN
ijassa-270	19	24	,	,	PUNCT
ijassa-270	19	25	any	any	DET
ijassa-270	19	26	real	real	ADV
ijassa-270	19	27	positive	positive	ADJ
ijassa-270	19	28	and	and	CCONJ
ijassa-270	19	29	increasing	increase	VERB
ijassa-270	19	30	function	function	NOUN
ijassa-270	19	31	,	,	PUNCT
ijassa-270	19	32	null	null	NOUN
ijassa-270	19	33	for	for	ADP
ijassa-270	19	34	argument	argument	NOUN
ijassa-270	19	35	0	0	NUM
ijassa-270	19	36	,	,	PUNCT
ijassa-270	19	37	of	of	ADP
ijassa-270	19	38	a	a	DET
ijassa-270	19	39	norm	norm	NOUN
ijassa-270	19	40	of	of	ADP
ijassa-270	19	41	dx(t)/dt	dx(t)/dt	NOUN
ijassa-270	19	42	,	,	PUNCT
ijassa-270	19	43	is	be	AUX
ijassa-270	19	44	a	a	DET
ijassa-270	19	45	measure	measure	NOUN
ijassa-270	19	46	of	of	ADP
ijassa-270	19	47	the	the	DET
ijassa-270	19	48	intensity	intensity	NOUN
ijassa-270	19	49	of	of	ADP
ijassa-270	19	50	change	change	NOUN
ijassa-270	19	51	of	of	ADP
ijassa-270	19	52	the	the	DET
ijassa-270	19	53	system	system	NOUN
ijassa-270	19	54	at	at	ADP
ijassa-270	19	55	instant	instant	ADJ
ijassa-270	19	56	t	t	PROPN
ijassa-270	19	57	.we	.we	PUNCT
ijassa-270	20	1	make	make	VERB
ijassa-270	20	2	the	the	DET
ijassa-270	20	3	most	most	ADV
ijassa-270	20	4	simple	simple	ADJ
ijassa-270	20	5	choice	choice	NOUN
ijassa-270	20	6	,	,	PUNCT
ijassa-270	20	7	that	that	PRON
ijassa-270	20	8	of	of	ADP
ijassa-270	20	9	the	the	DET
ijassa-270	20	10	square	square	NOUN
ijassa-270	20	11	of	of	ADP
ijassa-270	20	12	the	the	DET
ijassa-270	20	13	euclidian	euclidian	ADJ
ijassa-270	20	14	norm	norm	NOUN
ijassa-270	20	15	(	(	PUNCT
ijassa-270	20	16	or	or	CCONJ
ijassa-270	20	17	scalar	scalar	ADJ
ijassa-270	20	18	square	square	NOUN
ijassa-270	20	19	)	)	PUNCT
ijassa-270	20	20	(	(	PUNCT
ijassa-270	20	21	dx(t)/dt)2	dx(t)/dt)2	X
ijassa-270	20	22	which	which	PRON
ijassa-270	20	23	may	may	AUX
ijassa-270	20	24	be	be	AUX
ijassa-270	20	25	seen	see	VERB
ijassa-270	20	26	as	as	ADP
ijassa-270	20	27	an	an	DET
ijassa-270	20	28	index	index	NOUN
ijassa-270	20	29	of	of	ADP
ijassa-270	20	30	“	"	PUNCT
ijassa-270	20	31	importance	importance	NOUN
ijassa-270	20	32	”	"	PUNCT
ijassa-270	20	33	of	of	ADP
ijassa-270	20	34	instant	instant	ADJ
ijassa-270	20	35	t.	t.	NOUN
ijassa-270	20	36	so	so	ADV
ijassa-270	20	37	we	we	PRON
ijassa-270	20	38	consider	consider	VERB
ijassa-270	20	39	that	that	SCONJ
ijassa-270	20	40	the	the	DET
ijassa-270	20	41	internal	internal	ADJ
ijassa-270	20	42	duration	duration	NOUN
ijassa-270	20	43	corresponding	correspond	VERB
ijassa-270	20	44	to	to	PART
ijassa-270	20	45	reference	reference	VERB
ijassa-270	20	46	duration	duration	NOUN
ijassa-270	20	47	dt	dt	NOUN
ijassa-270	20	48	(	(	PUNCT
ijassa-270	20	49	between	between	ADP
ijassa-270	20	50	t	t	PROPN
ijassa-270	20	51	and	and	CCONJ
ijassa-270	20	52	t+dt	t+dt	NOUN
ijassa-270	20	53	)	)	PUNCT
ijassa-270	20	54	is	be	AUX
ijassa-270	20	55	equal	equal	ADJ
ijassa-270	20	56	to	to	ADP
ijassa-270	20	57	(	(	PUNCT
ijassa-270	20	58	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	20	59	dt	dt	NOUN
ijassa-270	21	1	and	and	CCONJ
ijassa-270	21	2	we	we	PRON
ijassa-270	21	3	define	define	VERB
ijassa-270	21	4	(	(	PUNCT
ijassa-270	21	5	vallée	vallée	NOUN
ijassa-270	21	6	,	,	PUNCT
ijassa-270	21	7	1996	1996	NUM
ijassa-270	21	8	,	,	PUNCT
ijassa-270	21	9	2001	2001	NUM
ijassa-270	21	10	)	)	PUNCT
ijassa-270	21	11	the	the	DET
ijassa-270	21	12	internal	internal	ADJ
ijassa-270	21	13	duration	duration	NOUN
ijassa-270	21	14	di(tl	di(tl	PROPN
ijassa-270	21	15	,	,	PUNCT
ijassa-270	21	16	t2	t2	NOUN
ijassa-270	21	17	)	)	PUNCT
ijassa-270	21	18	of	of	ADP
ijassa-270	21	19	interval	interval	NOUN
ijassa-270	21	20	(	(	PUNCT
ijassa-270	21	21	t1,t2	t1,t2	PROPN
ijassa-270	21	22	)	)	PUNCT
ijassa-270	21	23	,	,	PUNCT
ijassa-270	21	24	whose	whose	DET
ijassa-270	21	25	reference	reference	NOUN
ijassa-270	21	26	duration	duration	NOUN
ijassa-270	21	27	is	be	AUX
ijassa-270	21	28	t2	t2	NOUN
ijassa-270	21	29	–	–	PUNCT
ijassa-270	21	30	t1	t1	NOUN
ijassa-270	21	31	,	,	PUNCT
ijassa-270	21	32	by	by	ADP
ijassa-270	21	33	di(t1,t2	di(t1,t2	NOUN
ijassa-270	21	34	)	)	PUNCT
ijassa-270	22	1	=	=	SYM
ijassa-270	22	2	∫t1,t2	∫t1,t2	NOUN
ijassa-270	22	3	(	(	PUNCT
ijassa-270	22	4	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	22	5	dt	dt	X
ijassa-270	22	6	(	(	PUNCT
ijassa-270	22	7	1	1	NUM
ijassa-270	22	8	)	)	PUNCT
ijassa-270	22	9	so	so	ADV
ijassa-270	22	10	if	if	SCONJ
ijassa-270	22	11	(	(	PUNCT
ijassa-270	22	12	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	22	13	is	be	AUX
ijassa-270	22	14	equal	equal	ADJ
ijassa-270	22	15	to	to	ADP
ijassa-270	22	16	0	0	NUM
ijassa-270	22	17	on	on	ADP
ijassa-270	22	18	the	the	DET
ijassa-270	22	19	interval	interval	NOUN
ijassa-270	22	20	,	,	PUNCT
ijassa-270	22	21	the	the	DET
ijassa-270	22	22	internal	internal	ADJ
ijassa-270	22	23	duration	duration	NOUN
ijassa-270	22	24	is	be	AUX
ijassa-270	22	25	0	0	NUM
ijassa-270	22	26	,	,	PUNCT
ijassa-270	22	27	and	and	CCONJ
ijassa-270	22	28	if	if	SCONJ
ijassa-270	22	29	(	(	PUNCT
ijassa-270	22	30	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	22	31	is	be	AUX
ijassa-270	22	32	equal	equal	ADJ
ijassa-270	22	33	to1	to1	PROPN
ijassa-270	22	34	,	,	PUNCT
ijassa-270	22	35	the	the	DET
ijassa-270	22	36	internal	internal	ADJ
ijassa-270	22	37	duration	duration	NOUN
ijassa-270	22	38	is	be	AUX
ijassa-270	22	39	equal	equal	ADJ
ijassa-270	22	40	to	to	ADP
ijassa-270	22	41	the	the	DET
ijassa-270	22	42	reference	reference	NOUN
ijassa-270	22	43	duration	duration	NOUN
ijassa-270	22	44	.	.	PUNCT
ijassa-270	23	1	in	in	ADP
ijassa-270	23	2	short	short	ADJ
ijassa-270	23	3	,	,	PUNCT
ijassa-270	23	4	the	the	PRON
ijassa-270	23	5	higher	high	ADJ
ijassa-270	23	6	the	the	DET
ijassa-270	23	7	values	value	NOUN
ijassa-270	23	8	of	of	ADP
ijassa-270	23	9	(	(	PUNCT
ijassa-270	23	10	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	23	11	on	on	ADP
ijassa-270	23	12	the	the	DET
ijassa-270	23	13	interval	interval	NOUN
ijassa-270	23	14	,	,	PUNCT
ijassa-270	23	15	the	the	PRON
ijassa-270	23	16	greater	great	ADJ
ijassa-270	23	17	the	the	DET
ijassa-270	23	18	internal	internal	ADJ
ijassa-270	23	19	duration	duration	NOUN
ijassa-270	23	20	.	.	PUNCT
ijassa-270	24	1	we	we	PRON
ijassa-270	24	2	can	can	AUX
ijassa-270	24	3	now	now	ADV
ijassa-270	24	4	,	,	PUNCT
ijassa-270	24	5	define	define	VERB
ijassa-270	24	6	the	the	DET
ijassa-270	24	7	internal	internal	ADJ
ijassa-270	24	8	time	time	NOUN
ijassa-270	24	9	s(t	s(t	PROPN
ijassa-270	24	10	)	)	PUNCT
ijassa-270	24	11	by	by	ADP
ijassa-270	24	12	s(t	s(t	PROPN
ijassa-270	24	13	)	)	PUNCT
ijassa-270	24	14	=	=	SYM
ijassa-270	24	15	di(t0,t	di(t0,t	ADJ
ijassa-270	24	16	)	)	PUNCT
ijassa-270	25	1	=	=	SYM
ijassa-270	25	2	∫t0	∫t0	PROPN
ijassa-270	25	3	,	,	PUNCT
ijassa-270	25	4	t	t	PROPN
ijassa-270	25	5	(	(	PUNCT
ijassa-270	25	6	dx(s)/ds)2	dx(s)/ds)2	AUX
ijassa-270	25	7	ds	ds	ADJ
ijassa-270	25	8	(	(	PUNCT
ijassa-270	25	9	2	2	NUM
ijassa-270	25	10	)	)	PUNCT
ijassa-270	25	11	where	where	SCONJ
ijassa-270	25	12	t0	t0	PROPN
ijassa-270	25	13	is	be	AUX
ijassa-270	25	14	any	any	DET
ijassa-270	25	15	reference	reference	NOUN
ijassa-270	25	16	instant	instant	NOUN
ijassa-270	25	17	.	.	PUNCT
ijassa-270	26	1	so	so	ADV
ijassa-270	26	2	s(t	s(t	PROPN
ijassa-270	26	3	)	)	PUNCT
ijassa-270	27	1	if	if	SCONJ
ijassa-270	27	2	determined	determine	VERB
ijassa-270	27	3	up	up	ADP
ijassa-270	27	4	to	to	ADP
ijassa-270	27	5	an	an	DET
ijassa-270	27	6	arbitrary	arbitrary	ADJ
ijassa-270	27	7	additive	additive	ADJ
ijassa-270	27	8	constant	constant	ADJ
ijassa-270	27	9	.	.	PUNCT
ijassa-270	28	1	of	of	ADP
ijassa-270	28	2	course	course	NOUN
ijassa-270	28	3	we	we	PRON
ijassa-270	28	4	have	have	VERB
ijassa-270	28	5	di(t1,t2)=s(t2)-s(t1	di(t1,t2)=s(t2)-s(t1	NOUN
ijassa-270	28	6	)	)	PUNCT
ijassa-270	28	7	.	.	PUNCT
ijassa-270	29	1	(	(	PUNCT
ijassa-270	29	2	3	3	X
ijassa-270	29	3	)	)	PUNCT
ijassa-270	29	4	robert	robert	PROPN
ijassa-270	29	5	:	:	PUNCT
ijassa-270	29	6	internal	internal	ADJ
ijassa-270	29	7	time	time	NOUN
ijassa-270	29	8	of	of	ADP
ijassa-270	29	9	a	a	DET
ijassa-270	29	10	dynamical	dynamical	ADJ
ijassa-270	29	11	system	system	NOUN
ijassa-270	29	12	2	2	NUM
ijassa-270	29	13	it	it	PRON
ijassa-270	29	14	is	be	AUX
ijassa-270	29	15	interesting	interesting	ADJ
ijassa-270	29	16	to	to	PART
ijassa-270	29	17	verify	verify	VERB
ijassa-270	29	18	if	if	SCONJ
ijassa-270	29	19	equation	equation	NOUN
ijassa-270	29	20	(	(	PUNCT
ijassa-270	29	21	3	3	X
ijassa-270	29	22	)	)	PUNCT
ijassa-270	29	23	is	be	AUX
ijassa-270	29	24	consistent	consistent	ADJ
ijassa-270	29	25	with	with	ADP
ijassa-270	29	26	the	the	DET
ijassa-270	29	27	axioms	axiom	NOUN
ijassa-270	29	28	that	that	SCONJ
ijassa-270	29	29	a	a	DET
ijassa-270	29	30	«	«	PUNCT
ijassa-270	29	31	time	time	NOUN
ijassa-270	29	32	»	»	PUNCT
ijassa-270	29	33	must	must	AUX
ijassa-270	29	34	satisfy	satisfy	VERB
ijassa-270	29	35	.	.	PUNCT
ijassa-270	30	1	if	if	SCONJ
ijassa-270	30	2	f(a	f(a	PROPN
ijassa-270	30	3	,	,	PUNCT
ijassa-270	30	4	b	b	NOUN
ijassa-270	30	5	)	)	PUNCT
ijassa-270	30	6	is	be	AUX
ijassa-270	30	7	a	a	DET
ijassa-270	30	8	duration	duration	NOUN
ijassa-270	30	9	attached	attach	VERB
ijassa-270	30	10	to	to	ADP
ijassa-270	30	11	interval	interval	NOUN
ijassa-270	30	12	(	(	PUNCT
ijassa-270	30	13	a	a	DET
ijassa-270	30	14	,	,	PUNCT
ijassa-270	30	15	b	b	NOUN
ijassa-270	30	16	)	)	PUNCT
ijassa-270	30	17	,	,	PUNCT
ijassa-270	30	18	we	we	PRON
ijassa-270	30	19	must	must	AUX
ijassa-270	30	20	have	have	VERB
ijassa-270	30	21	,	,	PUNCT
ijassa-270	30	22	with	with	ADP
ijassa-270	30	23	a≤b≤c	a≤b≤c	SYM
ijassa-270	30	24	,	,	PUNCT
ijassa-270	30	25	f(a	f(a	NOUN
ijassa-270	30	26	,	,	PUNCT
ijassa-270	30	27	b	b	NOUN
ijassa-270	30	28	)	)	PUNCT
ijassa-270	31	1	+	+	CCONJ
ijassa-270	31	2	f(b	f(b	PROPN
ijassa-270	31	3	,	,	PUNCT
ijassa-270	31	4	c	c	NOUN
ijassa-270	31	5	)	)	PUNCT
ijassa-270	31	6	≡	≡	PROPN
ijassa-270	31	7	f(a	f(a	PROPN
ijassa-270	31	8	,	,	PUNCT
ijassa-270	31	9	c	c	NOUN
ijassa-270	31	10	)	)	PUNCT
ijassa-270	31	11	,	,	PUNCT
ijassa-270	31	12	f(a	f(a	NOUN
ijassa-270	31	13	,	,	PUNCT
ijassa-270	31	14	b	b	NOUN
ijassa-270	31	15	)	)	PUNCT
ijassa-270	31	16	>	>	X
ijassa-270	31	17	0	0	NUM
ijassa-270	31	18	for	for	ADP
ijassa-270	31	19	b	b	PROPN
ijassa-270	31	20	>	>	X
ijassa-270	31	21	a	a	PRON
ijassa-270	31	22	,	,	PUNCT
ijassa-270	31	23	f(a	f(a	NOUN
ijassa-270	31	24	,	,	PUNCT
ijassa-270	31	25	a	a	PRON
ijassa-270	31	26	)	)	PUNCT
ijassa-270	31	27	≡	≡	PROPN
ijassa-270	31	28	0	0	NUM
ijassa-270	31	29	(	(	PUNCT
ijassa-270	31	30	4	4	NUM
ijassa-270	31	31	)	)	PUNCT
ijassa-270	31	32	f	f	NOUN
ijassa-270	31	33	(	(	PUNCT
ijassa-270	31	34	a	a	DET
ijassa-270	31	35	,	,	PUNCT
ijassa-270	31	36	b	b	NOUN
ijassa-270	31	37	)	)	PUNCT
ijassa-270	31	38	increasing	increase	VERB
ijassa-270	31	39	with	with	ADP
ijassa-270	31	40	b	b	NOUN
ijassa-270	31	41	and	and	CCONJ
ijassa-270	31	42	decreasing	decrease	VERB
ijassa-270	31	43	with	with	ADP
ijassa-270	31	44	a.	a.	NOUN
ijassa-270	31	45	with	with	ADP
ijassa-270	31	46	the	the	DET
ijassa-270	31	47	hypothesis	hypothesis	NOUN
ijassa-270	31	48	that	that	PRON
ijassa-270	31	49	f	f	PROPN
ijassa-270	31	50	is	be	AUX
ijassa-270	31	51	differentiable	differentiable	ADJ
ijassa-270	31	52	,	,	PUNCT
ijassa-270	31	53	it	it	PRON
ijassa-270	31	54	is	be	AUX
ijassa-270	31	55	easy	easy	ADJ
ijassa-270	31	56	to	to	PART
ijassa-270	31	57	solve	solve	VERB
ijassa-270	31	58	functional	functional	ADJ
ijassa-270	31	59	equation	equation	NOUN
ijassa-270	31	60	(	(	PUNCT
ijassa-270	31	61	4	4	NUM
ijassa-270	31	62	)	)	PUNCT
ijassa-270	31	63	.	.	PUNCT
ijassa-270	32	1	we	we	PRON
ijassa-270	32	2	have	have	VERB
ijassa-270	32	3	f(a+da	f(a+da	NOUN
ijassa-270	32	4	,	,	PUNCT
ijassa-270	32	5	b	b	NOUN
ijassa-270	32	6	)	)	PUNCT
ijassa-270	33	1	+	+	CCONJ
ijassa-270	33	2	f(b	f(b	PROPN
ijassa-270	33	3	,	,	PUNCT
ijassa-270	33	4	c+dc	c+dc	PROPN
ijassa-270	33	5	)	)	PUNCT
ijassa-270	33	6	≡	≡	PROPN
ijassa-270	33	7	f(a+da	f(a+da	PROPN
ijassa-270	33	8	,	,	PUNCT
ijassa-270	33	9	c+dc	c+dc	PROPN
ijassa-270	33	10	)	)	PUNCT
ijassa-270	33	11	replacing	replace	VERB
ijassa-270	33	12	f(a+da	f(a+da	NOUN
ijassa-270	33	13	,	,	PUNCT
ijassa-270	33	14	b	b	NOUN
ijassa-270	33	15	)	)	PUNCT
ijassa-270	33	16	by	by	ADP
ijassa-270	33	17	f(a	f(a	PROPN
ijassa-270	33	18	,	,	PUNCT
ijassa-270	33	19	b	b	NOUN
ijassa-270	33	20	)	)	PUNCT
ijassa-270	34	1	+	+	CCONJ
ijassa-270	34	2	∂f(a	∂f(a	PROPN
ijassa-270	34	3	,	,	PUNCT
ijassa-270	34	4	b)/∂a	b)/∂a	X
ijassa-270	34	5	da	da	NOUN
ijassa-270	34	6	and	and	CCONJ
ijassa-270	34	7	the	the	DET
ijassa-270	34	8	like	like	ADJ
ijassa-270	34	9	for	for	ADP
ijassa-270	34	10	f(b	f(b	PROPN
ijassa-270	34	11	,	,	PUNCT
ijassa-270	34	12	c+dc	c+dc	PROPN
ijassa-270	34	13	)	)	PUNCT
ijassa-270	34	14	and	and	CCONJ
ijassa-270	34	15	f(a+da	f(a+da	NOUN
ijassa-270	34	16	,	,	PUNCT
ijassa-270	34	17	c+dc	c+dc	PROPN
ijassa-270	34	18	)	)	PUNCT
ijassa-270	34	19	,	,	PUNCT
ijassa-270	34	20	we	we	PRON
ijassa-270	34	21	obtain	obtain	VERB
ijassa-270	34	22	∂f(a	∂f(a	PROPN
ijassa-270	34	23	,	,	PUNCT
ijassa-270	34	24	b)/∂a	b)/∂a	PROPN
ijassa-270	34	25	≡	≡	PROPN
ijassa-270	34	26	∂f(a	∂f(a	PROPN
ijassa-270	34	27	,	,	PUNCT
ijassa-270	34	28	c)/∂a	c)/∂a	PROPN
ijassa-270	34	29	so	so	ADV
ijassa-270	34	30	∂f(a	∂f(a	PROPN
ijassa-270	34	31	,	,	PUNCT
ijassa-270	34	32	b)/∂a	b)/∂a	PROPN
ijassa-270	34	33	is	be	AUX
ijassa-270	34	34	independent	independent	ADJ
ijassa-270	34	35	of	of	ADP
ijassa-270	34	36	b.	b.	PROPN
ijassa-270	34	37	consequently	consequently	ADV
ijassa-270	34	38	,	,	PUNCT
ijassa-270	34	39	by	by	ADP
ijassa-270	34	40	integration	integration	NOUN
ijassa-270	34	41	with	with	ADP
ijassa-270	34	42	respect	respect	NOUN
ijassa-270	34	43	to	to	ADP
ijassa-270	34	44	a	a	PRON
ijassa-270	34	45	,	,	PUNCT
ijassa-270	34	46	we	we	PRON
ijassa-270	34	47	have	have	VERB
ijassa-270	34	48	f(a	f(a	NOUN
ijassa-270	34	49	,	,	PUNCT
ijassa-270	34	50	b	b	NOUN
ijassa-270	34	51	)	)	PUNCT
ijassa-270	34	52	=	=	SYM
ijassa-270	34	53	f(a	f(a	NOUN
ijassa-270	34	54	)	)	PUNCT
ijassa-270	35	1	+	+	NOUN
ijassa-270	35	2	g(b	g(b	ADJ
ijassa-270	35	3	)	)	PUNCT
ijassa-270	35	4	but	but	CCONJ
ijassa-270	35	5	since	since	SCONJ
ijassa-270	35	6	f(a	f(a	PROPN
ijassa-270	35	7	,	,	PUNCT
ijassa-270	35	8	a	a	DET
ijassa-270	35	9	)	)	PUNCT
ijassa-270	35	10	≡	≡	PROPN
ijassa-270	35	11	0	0	NUM
ijassa-270	35	12	≡	≡	PROPN
ijassa-270	35	13	f(a	f(a	PROPN
ijassa-270	35	14	)	)	PUNCT
ijassa-270	36	1	+	+	CCONJ
ijassa-270	36	2	g(a	g(a	PROPN
ijassa-270	36	3	)	)	PUNCT
ijassa-270	36	4	we	we	PRON
ijassa-270	36	5	have	have	VERB
ijassa-270	36	6	g	g	NOUN
ijassa-270	36	7	=	=	PUNCT
ijassa-270	36	8	-f	-f	PROPN
ijassa-270	37	1	so	so	ADV
ijassa-270	37	2	f(a	f(a	NOUN
ijassa-270	37	3	,	,	PUNCT
ijassa-270	37	4	b	b	NOUN
ijassa-270	37	5	)	)	PUNCT
ijassa-270	37	6	=	=	SYM
ijassa-270	37	7	g(b	g(b	X
ijassa-270	37	8	)	)	PUNCT
ijassa-270	37	9	–	–	PUNCT
ijassa-270	37	10	g(a	g(a	PROPN
ijassa-270	37	11	)	)	PUNCT
ijassa-270	37	12	which	which	PRON
ijassa-270	37	13	is	be	AUX
ijassa-270	37	14	consistent	consistent	ADJ
ijassa-270	37	15	with	with	ADP
ijassa-270	37	16	(	(	PUNCT
ijassa-270	37	17	3	3	NUM
ijassa-270	37	18	)	)	PUNCT
ijassa-270	37	19	.	.	PUNCT
ijassa-270	38	1	2	2	X
ijassa-270	38	2	.	.	X
ijassa-270	38	3	examples	example	NOUN
ijassa-270	38	4	we	we	PRON
ijassa-270	38	5	call	call	VERB
ijassa-270	38	6	explosion	explosion	NOUN
ijassa-270	38	7	the	the	DET
ijassa-270	38	8	evolution	evolution	NOUN
ijassa-270	38	9	of	of	ADP
ijassa-270	38	10	a	a	DET
ijassa-270	38	11	system	system	NOUN
ijassa-270	38	12	whose	whose	DET
ijassa-270	38	13	state	state	NOUN
ijassa-270	38	14	vector	vector	NOUN
ijassa-270	38	15	has	have	VERB
ijassa-270	38	16	a	a	DET
ijassa-270	38	17	modulus	modulus	NOUN
ijassa-270	38	18	starting	start	VERB
ijassa-270	38	19	with	with	ADP
ijassa-270	38	20	value	value	NOUN
ijassa-270	38	21	0	0	NUM
ijassa-270	38	22	at	at	ADP
ijassa-270	38	23	t	t	PROPN
ijassa-270	38	24	=	=	SYM
ijassa-270	38	25	0	0	PUNCT
ijassa-270	38	26	then	then	ADV
ijassa-270	38	27	increasing	increase	VERB
ijassa-270	38	28	with	with	ADP
ijassa-270	38	29	t	t	PROPN
ijassa-270	38	30	,	,	PUNCT
ijassa-270	38	31	and	and	CCONJ
ijassa-270	38	32	such	such	ADJ
ijassa-270	38	33	that	that	SCONJ
ijassa-270	38	34	the	the	DET
ijassa-270	38	35	modulus	modulus	NOUN
ijassa-270	38	36	of	of	ADP
ijassa-270	38	37	its	its	PRON
ijassa-270	38	38	speed	speed	NOUN
ijassa-270	38	39	vector	vector	NOUN
ijassa-270	38	40	starts	start	VERB
ijassa-270	38	41	with	with	ADP
ijassa-270	38	42	value	value	NOUN
ijassa-270	39	1	+	+	X
ijassa-270	39	2	∞	∞	PROPN
ijassa-270	39	3	at	at	ADP
ijassa-270	39	4	t	t	PROPN
ijassa-270	39	5	=	=	SYM
ijassa-270	40	1	0	0	PROPN
ijassa-270	40	2	.	.	PUNCT
ijassa-270	41	1	the	the	DET
ijassa-270	41	2	first	first	ADJ
ijassa-270	41	3	instants	instant	NOUN
ijassa-270	41	4	of	of	ADP
ijassa-270	41	5	the	the	DET
ijassa-270	41	6	evolution	evolution	NOUN
ijassa-270	41	7	of	of	ADP
ijassa-270	41	8	the	the	DET
ijassa-270	41	9	system	system	NOUN
ijassa-270	41	10	have	have	VERB
ijassa-270	41	11	an	an	DET
ijassa-270	41	12	exceptional	exceptional	ADJ
ijassa-270	41	13	importance	importance	NOUN
ijassa-270	41	14	since	since	SCONJ
ijassa-270	41	15	(	(	PUNCT
ijassa-270	41	16	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	41	17	tends	tend	VERB
ijassa-270	41	18	to	to	ADP
ijassa-270	41	19	+	+	NOUN
ijassa-270	41	20	∞	∞	PROPN
ijassa-270	41	21	when	when	SCONJ
ijassa-270	41	22	t	t	PROPN
ijassa-270	41	23	tends	tend	VERB
ijassa-270	41	24	to	to	ADP
ijassa-270	41	25	0	0	NUM
ijassa-270	41	26	.	.	PUNCT
ijassa-270	42	1	we	we	PRON
ijassa-270	42	2	have	have	VERB
ijassa-270	42	3	here	here	ADV
ijassa-270	42	4	an	an	DET
ijassa-270	42	5	idealisation	idealisation	NOUN
ijassa-270	42	6	as	as	ADV
ijassa-270	42	7	well	well	ADV
ijassa-270	42	8	as	as	ADP
ijassa-270	42	9	in	in	ADP
ijassa-270	42	10	the	the	DET
ijassa-270	42	11	case	case	NOUN
ijassa-270	42	12	of	of	ADP
ijassa-270	42	13	what	what	PRON
ijassa-270	42	14	we	we	PRON
ijassa-270	42	15	call	call	VERB
ijassa-270	42	16	implosion	implosion	NOUN
ijassa-270	42	17	where	where	SCONJ
ijassa-270	42	18	x(t	x(t	PROPN
ijassa-270	42	19	)	)	PUNCT
ijassa-270	42	20	decreases	decrease	VERB
ijassa-270	42	21	with	with	ADP
ijassa-270	42	22	t	t	NOUN
ijassa-270	42	23	and	and	CCONJ
ijassa-270	42	24	attains	attain	NOUN
ijassa-270	42	25	value	value	VERB
ijassa-270	42	26	0	0	NUM
ijassa-270	42	27	at	at	ADP
ijassa-270	42	28	the	the	DET
ijassa-270	42	29	final	final	ADJ
ijassa-270	42	30	instant	instant	NOUN
ijassa-270	42	31	while	while	NOUN
ijassa-270	42	32	(	(	PUNCT
ijassa-270	42	33	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	42	34	tends	tend	VERB
ijassa-270	42	35	to	to	ADP
ijassa-270	42	36	+	+	NOUN
ijassa-270	42	37	∞	∞	NOUN
ijassa-270	42	38	system	system	NOUN
ijassa-270	42	39	may	may	AUX
ijassa-270	42	40	be	be	AUX
ijassa-270	42	41	explosive	explosive	ADJ
ijassa-270	42	42	at	at	ADP
ijassa-270	42	43	the	the	DET
ijassa-270	42	44	beginning	beginning	NOUN
ijassa-270	42	45	and	and	CCONJ
ijassa-270	42	46	implosive	implosive	VERB
ijassa-270	42	47	at	at	ADP
ijassa-270	42	48	the	the	DET
ijassa-270	42	49	end	end	NOUN
ijassa-270	42	50	,	,	PUNCT
ijassa-270	42	51	then	then	ADV
ijassa-270	42	52	we	we	PRON
ijassa-270	42	53	say	say	VERB
ijassa-270	42	54	that	that	SCONJ
ijassa-270	42	55	we	we	PRON
ijassa-270	42	56	have	have	VERB
ijassa-270	42	57	an	an	DET
ijassa-270	42	58	explosion	explosion	NOUN
ijassa-270	42	59	-	-	PUNCT
ijassa-270	42	60	implosion	implosion	NOUN
ijassa-270	42	61	.	.	PUNCT
ijassa-270	43	1	for	for	ADP
ijassa-270	43	2	the	the	DET
ijassa-270	43	3	sake	sake	NOUN
ijassa-270	43	4	of	of	ADP
ijassa-270	43	5	simplicity	simplicity	NOUN
ijassa-270	43	6	we	we	PRON
ijassa-270	43	7	shall	shall	AUX
ijassa-270	43	8	suppose	suppose	VERB
ijassa-270	43	9	now	now	ADV
ijassa-270	43	10	that	that	SCONJ
ijassa-270	43	11	x(t	x(t	PROPN
ijassa-270	43	12	)	)	PUNCT
ijassa-270	43	13	is	be	AUX
ijassa-270	43	14	a	a	DET
ijassa-270	43	15	mere	mere	ADJ
ijassa-270	43	16	scalar	scalar	NOUN
ijassa-270	43	17	.	.	PUNCT
ijassa-270	44	1	we	we	PRON
ijassa-270	44	2	start	start	VERB
ijassa-270	44	3	with	with	ADP
ijassa-270	44	4	an	an	DET
ijassa-270	44	5	explosion	explosion	NOUN
ijassa-270	44	6	-	-	PUNCT
ijassa-270	44	7	implosion	implosion	NOUN
ijassa-270	44	8	(	(	PUNCT
ijassa-270	44	9	vallée	vallée	NOUN
ijassa-270	44	10	,	,	PUNCT
ijassa-270	44	11	1996	1996	NUM
ijassa-270	44	12	,	,	PUNCT
ijassa-270	44	13	2001	2001	NUM
ijassa-270	44	14	)	)	PUNCT
ijassa-270	44	15	defined	define	VERB
ijassa-270	44	16	by	by	ADP
ijassa-270	44	17	the	the	DET
ijassa-270	44	18	differential	differential	ADJ
ijassa-270	44	19	equation	equation	NOUN
ijassa-270	44	20	x	x	X
ijassa-270	44	21	(	(	PUNCT
ijassa-270	44	22	t)/dt	t)/dt	NOUN
ijassa-270	44	23	=	=	SYM
ijassa-270	44	24	q	q	ADJ
ijassa-270	44	25	/	/	SYM
ijassa-270	44	26	p	p	PRON
ijassa-270	44	27	sgn(p	sgn(p	PROPN
ijassa-270	44	28	-	-	PUNCT
ijassa-270	44	29	t	t	PROPN
ijassa-270	44	30	)	)	PUNCT
ijassa-270	44	31	(	(	PUNCT
ijassa-270	44	32	q2	q2	NOUN
ijassa-270	44	33	x2	x2	PROPN
ijassa-270	44	34	(	(	PUNCT
ijassa-270	44	35	t))1/2	t))1/2	PROPN
ijassa-270	44	36	/	/	SYM
ijassa-270	44	37	x(t	x(t	PROPN
ijassa-270	44	38	)	)	PUNCT
ijassa-270	44	39	,	,	PUNCT
ijassa-270	44	40	x(0	x(0	PROPN
ijassa-270	44	41	)	)	PUNCT
ijassa-270	45	1	=	=	SYM
ijassa-270	45	2	0	0	NUM
ijassa-270	45	3	,	,	PUNCT
ijassa-270	45	4	p	p	X
ijassa-270	45	5	et	et	NOUN
ijassa-270	45	6	q	q	NOUN
ijassa-270	45	7	>	>	X
ijassa-270	45	8	0	0	NUM
ijassa-270	45	9	,	,	PUNCT
ijassa-270	45	10	0≤	0≤	NUM
ijassa-270	45	11	t	t	X
ijassa-270	45	12	≤	≤	NOUN
ijassa-270	45	13	p	p	X
ijassa-270	45	14	(	(	PUNCT
ijassa-270	45	15	5	5	NUM
ijassa-270	45	16	)	)	PUNCT
ijassa-270	45	17	where	where	SCONJ
ijassa-270	45	18	sgn(p	sgn(p	PROPN
ijassa-270	45	19	-	-	PUNCT
ijassa-270	45	20	t	t	PROPN
ijassa-270	45	21	)	)	PUNCT
ijassa-270	45	22	is	be	AUX
ijassa-270	45	23	the	the	DET
ijassa-270	45	24	sign	sign	NOUN
ijassa-270	45	25	of	of	ADP
ijassa-270	45	26	p	p	NOUN
ijassa-270	45	27	-	-	PUNCT
ijassa-270	45	28	t.	t.	NOUN
ijassa-270	45	29	the	the	DET
ijassa-270	45	30	solution	solution	NOUN
ijassa-270	45	31	of	of	ADP
ijassa-270	45	32	this	this	DET
ijassa-270	45	33	equation	equation	NOUN
ijassa-270	45	34	is	be	AUX
ijassa-270	45	35	given	give	VERB
ijassa-270	45	36	by	by	ADP
ijassa-270	45	37	function	function	NOUN
ijassa-270	45	38	x(t	x(t	PROPN
ijassa-270	45	39	)	)	PUNCT
ijassa-270	45	40	=	=	SYM
ijassa-270	46	1	q	q	X
ijassa-270	46	2	/	/	SYM
ijassa-270	46	3	p	p	X
ijassa-270	46	4	(	(	PUNCT
ijassa-270	46	5	p2	p2	X
ijassa-270	46	6	(	(	PUNCT
ijassa-270	46	7	p	p	NOUN
ijassa-270	46	8	-	-	PUNCT
ijassa-270	46	9	t)2)1/2	t)2)1/2	NOUN
ijassa-270	46	10	(	(	PUNCT
ijassa-270	46	11	6	6	NUM
ijassa-270	46	12	)	)	PUNCT
ijassa-270	46	13	whose	whose	DET
ijassa-270	46	14	graph	graph	NOUN
ijassa-270	46	15	is	be	AUX
ijassa-270	46	16	an	an	DET
ijassa-270	46	17	half	half	ADJ
ijassa-270	46	18	-	-	PUNCT
ijassa-270	46	19	ellipse	ellipse	NOUN
ijassa-270	46	20	(	(	PUNCT
ijassa-270	46	21	great	great	ADJ
ijassa-270	46	22	axis	axis	ADJ
ijassa-270	46	23	2p	2p	NOUN
ijassa-270	46	24	,	,	PUNCT
ijassa-270	46	25	small	small	ADJ
ijassa-270	46	26	axis	axis	NOUN
ijassa-270	46	27	2q	2q	NUM
ijassa-270	46	28	)	)	PUNCT
ijassa-270	46	29	.	.	PUNCT
ijassa-270	47	1	we	we	PRON
ijassa-270	47	2	say	say	VERB
ijassa-270	47	3	that	that	SCONJ
ijassa-270	47	4	we	we	PRON
ijassa-270	47	5	have	have	VERB
ijassa-270	47	6	an	an	DET
ijassa-270	47	7	elliptic	elliptic	ADJ
ijassa-270	47	8	explosion	explosion	NOUN
ijassa-270	47	9	-	-	PUNCT
ijassa-270	47	10	implosion	implosion	NOUN
ijassa-270	47	11	.	.	PUNCT
ijassa-270	48	1	when	when	SCONJ
ijassa-270	48	2	t	t	PROPN
ijassa-270	48	3	varies	vary	VERB
ijassa-270	48	4	from	from	ADP
ijassa-270	48	5	0	0	NUM
ijassa-270	48	6	to	to	ADP
ijassa-270	48	7	2p	2p	NUM
ijassa-270	48	8	,	,	PUNCT
ijassa-270	48	9	x(t	x(t	PROPN
ijassa-270	48	10	)	)	PUNCT
ijassa-270	48	11	increases	increase	NOUN
ijassa-270	48	12	from	from	ADP
ijassa-270	48	13	0	0	NUM
ijassa-270	48	14	to	to	PART
ijassa-270	48	15	q	q	NOUN
ijassa-270	48	16	,	,	PUNCT
ijassa-270	48	17	then	then	ADV
ijassa-270	48	18	decreases	decrease	VERB
ijassa-270	48	19	from	from	ADP
ijassa-270	48	20	q	q	NOUN
ijassa-270	48	21	to	to	ADP
ijassa-270	48	22	0,with	0,with	ADP
ijassa-270	48	23	a	a	DET
ijassa-270	48	24	speed	speed	NOUN
ijassa-270	48	25	of	of	ADP
ijassa-270	48	26	infinite	infinite	ADJ
ijassa-270	48	27	absolute	absolute	ADJ
ijassa-270	48	28	value	value	NOUN
ijassa-270	48	29	at	at	ADP
ijassa-270	48	30	t	t	PROPN
ijassa-270	48	31	=	=	SYM
ijassa-270	48	32	0	0	PROPN
ijassa-270	48	33	and	and	CCONJ
ijassa-270	48	34	t	t	NOUN
ijassa-270	48	35	=	=	SYM
ijassa-270	49	1	2p.the	2p.the	NUM
ijassa-270	49	2	square	square	NOUN
ijassa-270	49	3	of	of	ADP
ijassa-270	49	4	the	the	DET
ijassa-270	49	5	speed	speed	NOUN
ijassa-270	49	6	of	of	ADP
ijassa-270	49	7	evolution	evolution	NOUN
ijassa-270	49	8	is	be	AUX
ijassa-270	49	9	given	give	VERB
ijassa-270	49	10	by	by	ADP
ijassa-270	49	11	(	(	PUNCT
ijassa-270	49	12	dx(t)/dt)2	dx(t)/dt)2	NOUN
ijassa-270	49	13	=	=	SYM
ijassa-270	49	14	q2	q2	NOUN
ijassa-270	49	15	/	/	SYM
ijassa-270	49	16	p2	p2	PROPN
ijassa-270	49	17	(	(	PUNCT
ijassa-270	49	18	p	p	NOUN
ijassa-270	49	19	-	-	PUNCT
ijassa-270	49	20	t)2/	t)2/	ADJ
ijassa-270	49	21	t(2p	t(2p	NUM
ijassa-270	49	22	-	-	PUNCT
ijassa-270	49	23	t	t	NOUN
ijassa-270	49	24	)	)	PUNCT
ijassa-270	49	25	=	=	PUNCT
ijassa-270	50	1	q2/2p	q2/2p	INTJ
ijassa-270	50	2	(	(	PUNCT
ijassa-270	50	3	1	1	NUM
ijassa-270	50	4	/	/	SYM
ijassa-270	50	5	t	t	NOUN
ijassa-270	50	6	2	2	NUM
ijassa-270	50	7	/	/	SYM
ijassa-270	50	8	p	p	X
ijassa-270	50	9	+	+	CCONJ
ijassa-270	50	10	1/2p	1/2p	NUM
ijassa-270	50	11	-	-	PUNCT
ijassa-270	50	12	t	t	NOUN
ijassa-270	50	13	)	)	PUNCT
ijassa-270	50	14	which	which	PRON
ijassa-270	50	15	shows	show	VERB
ijassa-270	50	16	that	that	SCONJ
ijassa-270	50	17	the	the	DET
ijassa-270	50	18	“	"	PUNCT
ijassa-270	50	19	importance	importance	NOUN
ijassa-270	50	20	”	"	PUNCT
ijassa-270	50	21	of	of	ADP
ijassa-270	50	22	instant	instant	ADJ
ijassa-270	50	23	t	t	PROPN
ijassa-270	50	24	is	be	AUX
ijassa-270	50	25	infinite	infinite	ADJ
ijassa-270	50	26	at	at	ADP
ijassa-270	50	27	the	the	DET
ijassa-270	50	28	beginning	beginning	NOUN
ijassa-270	50	29	(	(	PUNCT
ijassa-270	50	30	t	t	NOUN
ijassa-270	50	31	=	=	SYM
ijassa-270	50	32	0	0	NUM
ijassa-270	50	33	)	)	PUNCT
ijassa-270	50	34	and	and	CCONJ
ijassa-270	50	35	at	at	ADP
ijassa-270	50	36	the	the	DET
ijassa-270	50	37	end	end	NOUN
ijassa-270	50	38	(	(	PUNCT
ijassa-270	50	39	t=2p	t=2p	NOUN
ijassa-270	50	40	)	)	PUNCT
ijassa-270	50	41	.	.	PUNCT
ijassa-270	51	1	if	if	SCONJ
ijassa-270	51	2	we	we	PRON
ijassa-270	51	3	integrate	integrate	VERB
ijassa-270	51	4	(	(	PUNCT
ijassa-270	51	5	dx(t)/dt)2	dx(t)/dt)2	PUNCT
ijassa-270	51	6	from	from	ADP
ijassa-270	51	7	t1	t1	NOUN
ijassa-270	51	8	to	to	ADP
ijassa-270	51	9	t2	t2	NOUN
ijassa-270	51	10	we	we	PRON
ijassa-270	51	11	obtain	obtain	VERB
ijassa-270	51	12	the	the	DET
ijassa-270	51	13	internal	internal	ADJ
ijassa-270	51	14	duration	duration	NOUN
ijassa-270	51	15	of	of	ADP
ijassa-270	51	16	the	the	DET
ijassa-270	51	17	reference	reference	NOUN
ijassa-270	51	18	time	time	NOUN
ijassa-270	51	19	interval	interval	NOUN
ijassa-270	51	20	(	(	PUNCT
ijassa-270	51	21	t1,t2	t1,t2	PROPN
ijassa-270	51	22	)	)	PUNCT
ijassa-270	51	23	di(t1,t2	di(t1,t2	NOUN
ijassa-270	51	24	)	)	PUNCT
ijassa-270	52	1	=	=	SYM
ijassa-270	53	1	q2/2p	q2/2p	INTJ
ijassa-270	53	2	(	(	PUNCT
ijassa-270	53	3	log	log	NOUN
ijassa-270	53	4	(	(	PUNCT
ijassa-270	53	5	t2	t2	NOUN
ijassa-270	53	6	/	/	SYM
ijassa-270	53	7	t1	t1	NOUN
ijassa-270	53	8	)	)	PUNCT
ijassa-270	53	9	2(t2	2(t2	NUM
ijassa-270	53	10	-	-	PUNCT
ijassa-270	53	11	t1	t1	NOUN
ijassa-270	53	12	)	)	PUNCT
ijassa-270	53	13	/p	/p	X
ijassa-270	53	14	-log	-log	PUNCT
ijassa-270	53	15	(	(	PUNCT
ijassa-270	53	16	2p	2p	NUM
ijassa-270	53	17	-	-	PUNCT
ijassa-270	53	18	t2	t2	NOUN
ijassa-270	53	19	/2p	/2p	PUNCT
ijassa-270	53	20	-	-	PUNCT
ijassa-270	53	21	t1	t1	NOUN
ijassa-270	53	22	)	)	PUNCT
ijassa-270	53	23	)	)	PUNCT
ijassa-270	53	24	(	(	PUNCT
ijassa-270	53	25	7	7	X
ijassa-270	53	26	)	)	PUNCT
ijassa-270	53	27	now	now	ADV
ijassa-270	53	28	,	,	PUNCT
ijassa-270	53	29	choosing	choose	VERB
ijassa-270	53	30	t1	t1	NOUN
ijassa-270	53	31	=	=	PUNCT
ijassa-270	53	32	p	p	NOUN
ijassa-270	53	33	and	and	CCONJ
ijassa-270	53	34	t2	t2	PROPN
ijassa-270	53	35	=	=	PUNCT
ijassa-270	54	1	t	t	NOUN
ijassa-270	54	2	we	we	PRON
ijassa-270	54	3	have	have	VERB
ijassa-270	54	4	an	an	DET
ijassa-270	54	5	internal	internal	ADJ
ijassa-270	54	6	time	time	NOUN
ijassa-270	54	7	s(t	s(t	PROPN
ijassa-270	54	8	)	)	PUNCT
ijassa-270	54	9	defined	define	VERB
ijassa-270	54	10	by	by	ADP
ijassa-270	54	11	s(t	s(t	PROPN
ijassa-270	54	12	)	)	PUNCT
ijassa-270	54	13	=	=	PUNCT
ijassa-270	55	1	di(p	di(p	NOUN
ijassa-270	55	2	,	,	PUNCT
ijassa-270	55	3	t	t	PROPN
ijassa-270	55	4	)	)	PUNCT
ijassa-270	55	5	=	=	VERB
ijassa-270	56	1	q2/2p	q2/2p	INTJ
ijassa-270	56	2	(	(	PUNCT
ijassa-270	56	3	log	log	PROPN
ijassa-270	56	4	t	t	PROPN
ijassa-270	56	5	2t	2t	PROPN
ijassa-270	56	6	/	/	SYM
ijassa-270	56	7	p	p	NOUN
ijassa-270	56	8	+2	+2	PROPN
ijassa-270	56	9	-log	-log	PUNCT
ijassa-270	56	10	(	(	PUNCT
ijassa-270	56	11	2p	2p	NUM
ijassa-270	56	12	-	-	PUNCT
ijassa-270	56	13	t	t	NOUN
ijassa-270	56	14	)	)	PUNCT
ijassa-270	56	15	)	)	PUNCT
ijassa-270	57	1	(	(	PUNCT
ijassa-270	57	2	8)	8)	NUM
ijassa-270	57	3	of	of	ADP
ijassa-270	57	4	course	course	NOUN
ijassa-270	57	5	constant	constant	ADJ
ijassa-270	57	6	q2/2p	q2/2p	NOUN
ijassa-270	57	7	may	may	AUX
ijassa-270	57	8	be	be	AUX
ijassa-270	57	9	supressed	supresse	VERB
ijassa-270	57	10	,	,	PUNCT
ijassa-270	57	11	then	then	ADV
ijassa-270	57	12	we	we	PRON
ijassa-270	57	13	have	have	VERB
ijassa-270	57	14	another	another	DET
ijassa-270	57	15	internal	internal	ADJ
ijassa-270	57	16	time	time	NOUN
ijassa-270	57	17	σ(t	σ(t	NOUN
ijassa-270	57	18	)	)	PUNCT
ijassa-270	58	1	=	=	SYM
ijassa-270	58	2	q2/2p	q2/2p	INTJ
ijassa-270	58	3	(	(	PUNCT
ijassa-270	58	4	log	log	PROPN
ijassa-270	58	5	t	t	PROPN
ijassa-270	58	6	–	–	PUNCT
ijassa-270	58	7	2t	2t	X
ijassa-270	58	8	/	/	SYM
ijassa-270	58	9	p	p	ADJ
ijassa-270	58	10	–	–	PUNCT
ijassa-270	58	11	log(2p	log(2p	NOUN
ijassa-270	58	12	-	-	PUNCT
ijassa-270	58	13	t	t	NOUN
ijassa-270	58	14	)	)	PUNCT
ijassa-270	58	15	we	we	PRON
ijassa-270	58	16	see	see	VERB
ijassa-270	58	17	that	that	SCONJ
ijassa-270	58	18	when	when	SCONJ
ijassa-270	58	19	the	the	DET
ijassa-270	58	20	reference	reference	NOUN
ijassa-270	58	21	time	time	NOUN
ijassa-270	58	22	t	t	PROPN
ijassa-270	58	23	varies	vary	VERB
ijassa-270	58	24	from	from	ADP
ijassa-270	58	25	0	0	NUM
ijassa-270	58	26	to	to	ADP
ijassa-270	58	27	2p	2p	NUM
ijassa-270	58	28	,	,	PUNCT
ijassa-270	58	29	generating	generate	VERB
ijassa-270	58	30	a	a	DET
ijassa-270	58	31	finite	finite	ADJ
ijassa-270	58	32	reference	reference	NOUN
ijassa-270	58	33	duration	duration	NOUN
ijassa-270	58	34	of	of	ADP
ijassa-270	58	35	the	the	DET
ijassa-270	58	36	evolution	evolution	NOUN
ijassa-270	58	37	equal	equal	ADJ
ijassa-270	58	38	to	to	ADP
ijassa-270	58	39	2p	2p	NUM
ijassa-270	58	40	,	,	PUNCT
ijassa-270	58	41	the	the	DET
ijassa-270	58	42	internal	internal	ADJ
ijassa-270	58	43	time	time	NOUN
ijassa-270	58	44	svaries	svaries	PROPN
ijassa-270	58	45	from	from	ADP
ijassa-270	58	46	-∞	-∞	PUNCT
ijassa-270	58	47	to	to	ADP
ijassa-270	58	48	+	+	ADJ
ijassa-270	58	49	∞generatingan	∞generatingan	ADV
ijassa-270	58	50	infinite	infinite	ADJ
ijassa-270	58	51	internal	internal	ADJ
ijassa-270	58	52	duration	duration	NOUN
ijassa-270	58	53	of	of	ADP
ijassa-270	58	54	the	the	DET
ijassa-270	58	55	evolution	evolution	NOUN
ijassa-270	58	56	.	.	PUNCT
ijassa-270	59	1	the	the	DET
ijassa-270	59	2	initial	initial	ADJ
ijassa-270	59	3	instant	instant	NOUN
ijassa-270	59	4	0	0	NUM
ijassa-270	59	5	is	be	AUX
ijassa-270	59	6	pushed	push	VERB
ijassa-270	59	7	back	back	ADV
ijassa-270	59	8	to	to	ADP
ijassa-270	59	9	-∞	-∞	NOUN
ijassa-270	59	10	and	and	CCONJ
ijassa-270	59	11	the	the	DET
ijassa-270	59	12	final	final	ADJ
ijassa-270	59	13	instant	instant	ADJ
ijassa-270	59	14	2p	2p	NOUN
ijassa-270	59	15	is	be	AUX
ijassa-270	59	16	pushed	push	VERB
ijassa-270	59	17	forward	forward	ADV
ijassa-270	59	18	to	to	ADP
ijassa-270	59	19	+	+	ADJ
ijassa-270	59	20	∞.the	∞.the	DET
ijassa-270	59	21	internal	internal	ADJ
ijassa-270	59	22	duration	duration	NOUN
ijassa-270	59	23	of	of	ADP
ijassa-270	59	24	any	any	DET
ijassa-270	59	25	interval	interval	NOUN
ijassa-270	59	26	(	(	PUNCT
ijassa-270	59	27	0	0	NUM
ijassa-270	59	28	,	,	PUNCT
ijassa-270	59	29	t	t	PROPN
ijassa-270	59	30	)	)	PUNCT
ijassa-270	59	31	is	be	AUX
ijassa-270	59	32	infinite	infinite	ADJ
ijassa-270	59	33	as	as	ADV
ijassa-270	59	34	well	well	ADV
ijassa-270	59	35	as	as	ADP
ijassa-270	59	36	the	the	DET
ijassa-270	59	37	internal	internal	ADJ
ijassa-270	59	38	duration	duration	NOUN
ijassa-270	59	39	of	of	ADP
ijassa-270	59	40	any	any	DET
ijassa-270	59	41	interval	interval	NOUN
ijassa-270	59	42	(	(	PUNCT
ijassa-270	59	43	t	t	NOUN
ijassa-270	59	44	,	,	PUNCT
ijassa-270	59	45	2p	2p	NUM
ijassa-270	59	46	)	)	PUNCT
ijassa-270	59	47	.	.	PUNCT
ijassa-270	60	1	we	we	PRON
ijassa-270	60	2	consider	consider	VERB
ijassa-270	60	3	now	now	ADV
ijassa-270	60	4	the	the	DET
ijassa-270	60	5	differential	differential	ADJ
ijassa-270	60	6	equation	equation	NOUN
ijassa-270	60	7	advances	advance	NOUN
ijassa-270	60	8	in	in	ADP
ijassa-270	60	9	systems	system	NOUN
ijassa-270	60	10	science	science	NOUN
ijassa-270	60	11	and	and	CCONJ
ijassa-270	60	12	applications	application	NOUN
ijassa-270	60	13	(	(	PUNCT
ijassa-270	60	14	2010	2010	NUM
ijassa-270	60	15	)	)	PUNCT
ijassa-270	60	16	,	,	PUNCT
ijassa-270	60	17	vol.10	vol.10	NOUN
ijassa-270	60	18	,	,	PUNCT
ijassa-270	60	19	no.1	no.1	X
ijassa-270	60	20	3	3	NUM
ijassa-270	60	21	dx(t)/dt	dx(t)/dt	NOUN
ijassa-270	60	22	=	=	SYM
ijassa-270	61	1	q	q	PUNCT
ijassa-270	61	2	/	/	SYM
ijassa-270	61	3	p	p	X
ijassa-270	61	4	(	(	PUNCT
ijassa-270	61	5	q2	q2	NOUN
ijassa-270	61	6	+	+	CCONJ
ijassa-270	61	7	x2(t))1/	x2(t))1/	PROPN
ijassa-270	61	8	2	2	X
ijassa-270	61	9	/	/	SYM
ijassa-270	61	10	x(t	x(t	PROPN
ijassa-270	61	11	)	)	PUNCT
ijassa-270	61	12	,	,	PUNCT
ijassa-270	61	13	x(0	x(0	PROPN
ijassa-270	61	14	)	)	PUNCT
ijassa-270	62	1	=	=	SYM
ijassa-270	62	2	0	0	NUM
ijassa-270	62	3	,	,	PUNCT
ijassa-270	62	4	p	p	X
ijassa-270	62	5	et	et	NOUN
ijassa-270	62	6	q	q	NOUN
ijassa-270	62	7	>	>	PROPN
ijassa-270	62	8	0	0	NUM
ijassa-270	62	9	,	,	PUNCT
ijassa-270	62	10	0≤τ	0≤τ	PROPN
ijassa-270	62	11	<	<	X
ijassa-270	62	12	+	+	X
ijassa-270	62	13	∞	∞	NUM
ijassa-270	62	14	(	(	PUNCT
ijassa-270	62	15	9)	9)	NUM
ijassa-270	62	16	its	its	PRON
ijassa-270	62	17	solution	solution	NOUN
ijassa-270	62	18	is	be	AUX
ijassa-270	62	19	given	give	VERB
ijassa-270	62	20	by	by	ADP
ijassa-270	62	21	function	function	NOUN
ijassa-270	62	22	x(t	x(t	PROPN
ijassa-270	62	23	)	)	PUNCT
ijassa-270	62	24	=	=	SYM
ijassa-270	63	1	q	q	X
ijassa-270	63	2	/	/	SYM
ijassa-270	63	3	p	p	X
ijassa-270	63	4	(	(	PUNCT
ijassa-270	63	5	(	(	PUNCT
ijassa-270	63	6	p+t)2	p+t)2	PROPN
ijassa-270	63	7	–	–	PUNCT
ijassa-270	63	8	p2)1/2	p2)1/2	PROPN
ijassa-270	63	9	(	(	PUNCT
ijassa-270	63	10	10	10	NUM
ijassa-270	63	11	)	)	PUNCT
ijassa-270	63	12	whose	whose	DET
ijassa-270	63	13	graph	graph	NOUN
ijassa-270	63	14	is	be	AUX
ijassa-270	63	15	the	the	DET
ijassa-270	63	16	right	right	ADJ
ijassa-270	63	17	part	part	NOUN
ijassa-270	63	18	of	of	ADP
ijassa-270	63	19	an	an	DET
ijassa-270	63	20	half	half	ADJ
ijassa-270	63	21	-	-	PUNCT
ijassa-270	63	22	hyperbola	hyperbola	NOUN
ijassa-270	63	23	(	(	PUNCT
ijassa-270	63	24	great	great	ADJ
ijassa-270	63	25	axis	axis	ADJ
ijassa-270	63	26	2p,“small	2p,“small	NUM
ijassa-270	63	27	axis	axis	NOUN
ijassa-270	63	28	”	"	PUNCT
ijassa-270	63	29	2q).we	2q).we	NOUN
ijassa-270	63	30	say	say	VERB
ijassa-270	63	31	that	that	SCONJ
ijassa-270	63	32	we	we	PRON
ijassa-270	63	33	have	have	VERB
ijassa-270	63	34	an	an	DET
ijassa-270	63	35	hyperbolic	hyperbolic	ADJ
ijassa-270	63	36	explosion	explosion	NOUN
ijassa-270	63	37	:	:	PUNCT
ijassa-270	63	38	x(t	x(t	PROPN
ijassa-270	63	39	)	)	PUNCT
ijassa-270	63	40	increases	increase	VERB
ijassa-270	63	41	from	from	ADP
ijassa-270	63	42	0	0	NUM
ijassa-270	63	43	to	to	ADP
ijassa-270	63	44	+	+	NOUN
ijassa-270	63	45	∞	∞	PROPN
ijassa-270	63	46	with	with	ADP
ijassa-270	63	47	an	an	DET
ijassa-270	63	48	infinite	infinite	ADJ
ijassa-270	63	49	speed	speed	NOUN
ijassa-270	63	50	at	at	ADP
ijassa-270	63	51	instant	instant	NOUN
ijassa-270	63	52	0	0	NUM
ijassa-270	63	53	and	and	CCONJ
ijassa-270	63	54	,	,	PUNCT
ijassa-270	63	55	for	for	ADP
ijassa-270	63	56	the	the	DET
ijassa-270	63	57	great	great	ADJ
ijassa-270	63	58	values	value	NOUN
ijassa-270	63	59	of	of	ADP
ijassa-270	63	60	t	t	PROPN
ijassa-270	63	61	,	,	PUNCT
ijassa-270	63	62	x(t	x(t	PROPN
ijassa-270	63	63	)	)	PUNCT
ijassa-270	63	64	behaves	behave	VERB
ijassa-270	63	65	like	like	INTJ
ijassa-270	63	66	(	(	PUNCT
ijassa-270	63	67	t	t	NOUN
ijassa-270	63	68	-	-	PUNCT
ijassa-270	63	69	p	p	NOUN
ijassa-270	63	70	)	)	PUNCT
ijassa-270	63	71	a	a	PRON
ijassa-270	63	72	/	/	SYM
ijassa-270	63	73	p.	p.	NOUN
ijassa-270	63	74	the	the	DET
ijassa-270	63	75	square	square	NOUN
ijassa-270	63	76	of	of	ADP
ijassa-270	63	77	the	the	DET
ijassa-270	63	78	speed	speed	NOUN
ijassa-270	63	79	is	be	AUX
ijassa-270	63	80	given	give	VERB
ijassa-270	63	81	by	by	ADP
ijassa-270	63	82	(	(	PUNCT
ijassa-270	63	83	dx(t)/dt)2	dx(t)/dt)2	NOUN
ijassa-270	63	84	=	=	SYM
ijassa-270	63	85	q2	q2	NOUN
ijassa-270	63	86	/	/	SYM
ijassa-270	63	87	p2	p2	PROPN
ijassa-270	63	88	(	(	PUNCT
ijassa-270	63	89	p+t)2	p+t)2	PROPN
ijassa-270	63	90	/	/	SYM
ijassa-270	63	91	t(t+2p	t(t+2p	NOUN
ijassa-270	63	92	)	)	PUNCT
ijassa-270	63	93	=	=	SYM
ijassa-270	64	1	q2/2p	q2/2p	INTJ
ijassa-270	64	2	(	(	PUNCT
ijassa-270	64	3	1	1	NUM
ijassa-270	64	4	/	/	SYM
ijassa-270	64	5	t	t	NOUN
ijassa-270	64	6	+	+	NOUN
ijassa-270	64	7	2	2	NUM
ijassa-270	64	8	/	/	SYM
ijassa-270	64	9	p	p	NOUN
ijassa-270	64	10	-1/2p+t	-1/2p+t	PROPN
ijassa-270	64	11	)	)	PUNCT
ijassa-270	64	12	it	it	PRON
ijassa-270	64	13	shows	show	VERB
ijassa-270	64	14	that	that	SCONJ
ijassa-270	64	15	the	the	DET
ijassa-270	64	16	«	«	PUNCT
ijassa-270	64	17	importance	importance	NOUN
ijassa-270	64	18	»	»	PUNCT
ijassa-270	64	19	of	of	ADP
ijassa-270	64	20	instant	instant	ADJ
ijassa-270	64	21	t	t	PROPN
ijassa-270	64	22	is	be	AUX
ijassa-270	64	23	infinite	infinite	ADJ
ijassa-270	64	24	at	at	ADP
ijassa-270	64	25	t	t	NOUN
ijassa-270	64	26	=	=	SYM
ijassa-270	64	27	0	0	X
ijassa-270	65	1	.	.	PUNCT
ijassa-270	65	2	calculations	calculation	NOUN
ijassa-270	65	3	,	,	PUNCT
ijassa-270	65	4	similar	similar	ADJ
ijassa-270	65	5	to	to	ADP
ijassa-270	65	6	those	those	PRON
ijassa-270	65	7	for	for	ADP
ijassa-270	65	8	the	the	DET
ijassa-270	65	9	elliptic	elliptic	ADJ
ijassa-270	65	10	case	case	NOUN
ijassa-270	65	11	,	,	PUNCT
ijassa-270	65	12	give	give	VERB
ijassa-270	65	13	the	the	DET
ijassa-270	65	14	internal	internal	ADJ
ijassa-270	65	15	duration	duration	NOUN
ijassa-270	65	16	of	of	ADP
ijassa-270	65	17	interval	interval	NOUN
ijassa-270	65	18	(	(	PUNCT
ijassa-270	65	19	t1,t2	t1,t2	PROPN
ijassa-270	65	20	)	)	PUNCT
ijassa-270	65	21	and	and	CCONJ
ijassa-270	65	22	consequently	consequently	ADV
ijassa-270	65	23	an	an	DET
ijassa-270	65	24	internal	internal	ADJ
ijassa-270	65	25	time	time	NOUN
ijassa-270	65	26	such	such	ADJ
ijassa-270	65	27	as	as	ADP
ijassa-270	65	28	s(t	s(t	PROPN
ijassa-270	65	29	)	)	PUNCT
ijassa-270	65	30	=	=	SYM
ijassa-270	65	31	q2	q2	NOUN
ijassa-270	65	32	/2p	/2p	PUNCT
ijassa-270	66	1	(	(	PUNCT
ijassa-270	66	2	log	log	NOUN
ijassa-270	66	3	t	t	PROPN
ijassa-270	66	4	+	+	CCONJ
ijassa-270	66	5	2t	2t	X
ijassa-270	66	6	/	/	SYM
ijassa-270	66	7	p	p	X
ijassa-270	66	8	–	–	PUNCT
ijassa-270	66	9	log	log	NOUN
ijassa-270	66	10	(	(	PUNCT
ijassa-270	66	11	2p+t	2p+t	NUM
ijassa-270	66	12	)	)	PUNCT
ijassa-270	66	13	(	(	PUNCT
ijassa-270	66	14	11	11	NUM
ijassa-270	66	15	)	)	PUNCT
ijassa-270	66	16	when	when	SCONJ
ijassa-270	66	17	t	t	PROPN
ijassa-270	66	18	varies	vary	VERB
ijassa-270	66	19	from	from	ADP
ijassa-270	66	20	0	0	NUM
ijassa-270	66	21	to	to	ADP
ijassa-270	66	22	+	+	ADJ
ijassa-270	66	23	∞	∞	PROPN
ijassa-270	66	24	,	,	PUNCT
ijassa-270	66	25	s(t	s(t	PROPN
ijassa-270	66	26	)	)	PUNCT
ijassa-270	66	27	varies	vary	VERB
ijassa-270	66	28	from	from	ADP
ijassa-270	66	29	-∞	-∞	PUNCT
ijassa-270	66	30	to	to	ADP
ijassa-270	66	31	+	+	PROPN
ijassa-270	66	32	∞	∞	PROPN
ijassa-270	66	33	,	,	PUNCT
ijassa-270	66	34	the	the	DET
ijassa-270	66	35	initial	initial	ADJ
ijassa-270	66	36	instant	instant	NOUN
ijassa-270	66	37	0	0	NUM
ijassa-270	66	38	being	be	AUX
ijassa-270	66	39	pushed	push	VERB
ijassa-270	66	40	back	back	ADV
ijassa-270	66	41	to	to	ADP
ijassa-270	66	42	−∞.	−∞.	NOUN
ijassa-270	66	43	any	any	DET
ijassa-270	66	44	interval	interval	NOUN
ijassa-270	66	45	(	(	PUNCT
ijassa-270	66	46	0	0	NUM
ijassa-270	66	47	,	,	PUNCT
ijassa-270	66	48	t	t	PROPN
ijassa-270	66	49	)	)	PUNCT
ijassa-270	66	50	,	,	PUNCT
ijassa-270	66	51	of	of	ADP
ijassa-270	66	52	reference	reference	NOUN
ijassa-270	66	53	duration	duration	NOUN
ijassa-270	66	54	t	t	PROPN
ijassa-270	66	55	,	,	PUNCT
ijassa-270	66	56	has	have	VERB
ijassa-270	66	57	an	an	DET
ijassa-270	66	58	infinite	infinite	ADJ
ijassa-270	66	59	internal	internal	ADJ
ijassa-270	66	60	duration	duration	NOUN
ijassa-270	66	61	.	.	PUNCT
ijassa-270	67	1	moreover	moreover	ADV
ijassa-270	67	2	s(t	s(t	PROPN
ijassa-270	67	3	)	)	PUNCT
ijassa-270	67	4	behaves	behave	VERB
ijassa-270	67	5	as	as	ADP
ijassa-270	67	6	q2	q2	NOUN
ijassa-270	67	7	/2p	/2p	PUNCT
ijassa-270	68	1	log	log	PROPN
ijassa-270	68	2	t	t	PROPN
ijassa-270	68	3	for	for	ADP
ijassa-270	68	4	small	small	ADJ
ijassa-270	68	5	values	value	NOUN
ijassa-270	68	6	of	of	ADP
ijassa-270	68	7	t	t	PROPN
ijassa-270	68	8	and	and	CCONJ
ijassa-270	68	9	as	as	ADP
ijassa-270	68	10	q2	q2	NOUN
ijassa-270	68	11	/	/	SYM
ijassa-270	68	12	p2	p2	PROPN
ijassa-270	68	13	t	t	NOUN
ijassa-270	68	14	for	for	ADP
ijassa-270	68	15	great	great	ADJ
ijassa-270	68	16	values	value	NOUN
ijassa-270	68	17	.	.	PUNCT
ijassa-270	69	1	an	an	DET
ijassa-270	69	2	intermediary	intermediary	ADJ
ijassa-270	69	3	case	case	NOUN
ijassa-270	69	4	,	,	PUNCT
ijassa-270	69	5	which	which	PRON
ijassa-270	69	6	we	we	PRON
ijassa-270	69	7	call	call	VERB
ijassa-270	69	8	parabolic	parabolic	ADJ
ijassa-270	69	9	explosion	explosion	NOUN
ijassa-270	69	10	(	(	PUNCT
ijassa-270	69	11	vallée	vallée	NOUN
ijassa-270	69	12	,	,	PUNCT
ijassa-270	69	13	1996	1996	NUM
ijassa-270	69	14	,	,	PUNCT
ijassa-270	69	15	2001	2001	NUM
ijassa-270	69	16	)	)	PUNCT
ijassa-270	69	17	,	,	PUNCT
ijassa-270	69	18	is	be	AUX
ijassa-270	69	19	obtained	obtain	VERB
ijassa-270	69	20	when	when	SCONJ
ijassa-270	69	21	p	p	NOUN
ijassa-270	69	22	and	and	CCONJ
ijassa-270	69	23	q	q	NOUN
ijassa-270	69	24	tend	tend	VERB
ijassa-270	69	25	to	to	PART
ijassa-270	69	26	infinity	infinity	VERB
ijassa-270	69	27	while	while	SCONJ
ijassa-270	69	28	q2	q2	PROPN
ijassa-270	69	29	/	/	SYM
ijassa-270	69	30	p	p	NOUN
ijassa-270	69	31	keeps	keep	VERB
ijassa-270	69	32	a	a	DET
ijassa-270	69	33	constant	constant	ADJ
ijassa-270	69	34	value	value	NOUN
ijassa-270	69	35	2h	2h	NUM
ijassa-270	69	36	.	.	PUNCT
ijassa-270	70	1	starting	start	VERB
ijassa-270	70	2	indifferently	indifferently	ADV
ijassa-270	70	3	from	from	ADP
ijassa-270	70	4	equation	equation	NOUN
ijassa-270	70	5	(	(	PUNCT
ijassa-270	70	6	6	6	NUM
ijassa-270	70	7	)	)	PUNCT
ijassa-270	70	8	or	or	CCONJ
ijassa-270	70	9	(	(	PUNCT
ijassa-270	70	10	9	9	NUM
ijassa-270	70	11	)	)	PUNCT
ijassa-270	70	12	,	,	PUNCT
ijassa-270	70	13	we	we	PRON
ijassa-270	70	14	obtain	obtain	VERB
ijassa-270	70	15	dx(t)/dt	dx(t)/dt	NOUN
ijassa-270	70	16	=	=	SYM
ijassa-270	70	17	2h	2h	NUM
ijassa-270	70	18	/	/	SYM
ijassa-270	70	19	x(t	x(t	PROPN
ijassa-270	70	20	)	)	PUNCT
ijassa-270	70	21	,	,	PUNCT
ijassa-270	70	22	x(0	x(0	PROPN
ijassa-270	70	23	)	)	PUNCT
ijassa-270	71	1	=	=	SYM
ijassa-270	71	2	0	0	NUM
ijassa-270	71	3	,	,	PUNCT
ijassa-270	71	4	h>0	h>0	X
ijassa-270	71	5	(	(	PUNCT
ijassa-270	71	6	12	12	NUM
ijassa-270	71	7	)	)	PUNCT
ijassa-270	71	8	the	the	DET
ijassa-270	71	9	solution	solution	NOUN
ijassa-270	71	10	is	be	AUX
ijassa-270	71	11	given	give	VERB
ijassa-270	71	12	by	by	ADP
ijassa-270	71	13	function	function	NOUN
ijassa-270	71	14	x(t	x(t	PROPN
ijassa-270	71	15	)	)	PUNCT
ijassa-270	71	16	=	=	SYM
ijassa-270	71	17	2	2	NUM
ijassa-270	71	18	(	(	PUNCT
ijassa-270	71	19	ht)1/2	ht)1/2	PROPN
ijassa-270	71	20	(	(	PUNCT
ijassa-270	71	21	13	13	NUM
ijassa-270	71	22	)	)	PUNCT
ijassa-270	71	23	whose	whose	DET
ijassa-270	71	24	graph	graph	NOUN
ijassa-270	71	25	is	be	AUX
ijassa-270	71	26	an	an	DET
ijassa-270	71	27	half	half	ADJ
ijassa-270	71	28	-	-	PUNCT
ijassa-270	71	29	parabola	parabola	NOUN
ijassa-270	71	30	of	of	ADP
ijassa-270	71	31	parameter	parameter	PROPN
ijassa-270	71	32	h.	h.	PROPN
ijassa-270	72	1	we	we	PRON
ijassa-270	72	2	see	see	VERB
ijassa-270	72	3	that	that	PRON
ijassa-270	72	4	xt	xt	NOUN
ijassa-270	72	5	)	)	PUNCT
ijassa-270	72	6	increases	increase	VERB
ijassa-270	72	7	from	from	ADP
ijassa-270	72	8	0	0	NUM
ijassa-270	72	9	to	to	ADP
ijassa-270	72	10	+	+	NOUN
ijassa-270	72	11	∞	∞	PROPN
ijassa-270	72	12	with	with	ADP
ijassa-270	72	13	an	an	DET
ijassa-270	72	14	infinite	infinite	ADJ
ijassa-270	72	15	initial	initial	ADJ
ijassa-270	72	16	speed	speed	NOUN
ijassa-270	72	17	.	.	PUNCT
ijassa-270	73	1	then	then	ADV
ijassa-270	73	2	we	we	PRON
ijassa-270	73	3	have	have	VERB
ijassa-270	73	4	(	(	PUNCT
ijassa-270	73	5	dx(t)/dt)2	dx(t)/dt)2	NOUN
ijassa-270	73	6	=	=	SYM
ijassa-270	73	7	h	h	NOUN
ijassa-270	73	8	/	/	SYM
ijassa-270	73	9	t	t	X
ijassa-270	73	10	the	the	DET
ijassa-270	73	11	“	"	PUNCT
ijassa-270	73	12	importance	importance	NOUN
ijassa-270	73	13	”	"	PUNCT
ijassa-270	73	14	of	of	ADP
ijassa-270	73	15	instant	instant	ADJ
ijassa-270	73	16	t	t	PROPN
ijassa-270	73	17	is	be	AUX
ijassa-270	73	18	infinite	infinite	ADJ
ijassa-270	73	19	at	at	ADP
ijassa-270	73	20	t	t	NOUN
ijassa-270	73	21	=	=	SYM
ijassa-270	73	22	0	0	PUNCT
ijassa-270	73	23	and	and	CCONJ
ijassa-270	73	24	tends	tend	VERB
ijassa-270	73	25	to	to	ADP
ijassa-270	73	26	0	0	NUM
ijassa-270	73	27	when	when	SCONJ
ijassa-270	73	28	t	t	PROPN
ijassa-270	73	29	tends	tend	VERB
ijassa-270	73	30	to	to	ADP
ijassa-270	73	31	+	+	NOUN
ijassa-270	73	32	∞.	∞.	PROPN
ijassa-270	73	33	the	the	DET
ijassa-270	73	34	calculation	calculation	NOUN
ijassa-270	73	35	of	of	ADP
ijassa-270	73	36	internal	internal	ADJ
ijassa-270	73	37	duration	duration	NOUN
ijassa-270	73	38	generates	generate	VERB
ijassa-270	73	39	an	an	DET
ijassa-270	73	40	internal	internal	ADJ
ijassa-270	73	41	time	time	NOUN
ijassa-270	73	42	s(t	s(t	PROPN
ijassa-270	73	43	)	)	PUNCT
ijassa-270	73	44	=	=	SYM
ijassa-270	74	1	h	h	NOUN
ijassa-270	74	2	log	log	NOUN
ijassa-270	74	3	t	t	PROPN
ijassa-270	74	4	,	,	PUNCT
ijassa-270	74	5	(	(	PUNCT
ijassa-270	74	6	14	14	NUM
ijassa-270	74	7	)	)	PUNCT
ijassa-270	74	8	the	the	DET
ijassa-270	74	9	initial	initial	ADJ
ijassa-270	74	10	instant	instant	NOUN
ijassa-270	74	11	0	0	NUM
ijassa-270	74	12	is	be	AUX
ijassa-270	74	13	pushed	push	VERB
ijassa-270	74	14	back	back	ADV
ijassa-270	74	15	to	to	ADP
ijassa-270	74	16	-∞	-∞	PUNCT
ijassa-270	74	17	and	and	CCONJ
ijassa-270	74	18	any	any	DET
ijassa-270	74	19	interval	interval	NOUN
ijassa-270	74	20	(	(	PUNCT
ijassa-270	74	21	0,t	0,t	PROPN
ijassa-270	74	22	)	)	PUNCT
ijassa-270	74	23	has	have	VERB
ijassa-270	74	24	an	an	DET
ijassa-270	74	25	infinite	infinite	ADJ
ijassa-270	74	26	internal	internal	ADJ
ijassa-270	74	27	duration	duration	NOUN
ijassa-270	74	28	.	.	PUNCT
ijassa-270	75	1	3	3	X
ijassa-270	75	2	.	.	X
ijassa-270	75	3	interpretations	interpretation	NOUN
ijassa-270	75	4	in	in	ADP
ijassa-270	75	5	the	the	DET
ijassa-270	75	6	first	first	ADJ
ijassa-270	75	7	interpretation	interpretation	NOUN
ijassa-270	75	8	we	we	PRON
ijassa-270	75	9	consider	consider	VERB
ijassa-270	75	10	an	an	DET
ijassa-270	75	11	elliptic	elliptic	ADJ
ijassa-270	75	12	explosion	explosion	NOUN
ijassa-270	75	13	-	-	PUNCT
ijassa-270	75	14	implosion	implosion	NOUN
ijassa-270	75	15	as	as	ADP
ijassa-270	75	16	the	the	DET
ijassa-270	75	17	evolution	evolution	NOUN
ijassa-270	75	18	of	of	ADP
ijassa-270	75	19	a	a	DET
ijassa-270	75	20	living	live	VERB
ijassa-270	75	21	being	be	AUX
ijassa-270	75	22	whose	whose	DET
ijassa-270	75	23	birth	birth	NOUN
ijassa-270	75	24	may	may	AUX
ijassa-270	75	25	be	be	AUX
ijassa-270	75	26	compared	compare	VERB
ijassa-270	75	27	to	to	ADP
ijassa-270	75	28	a	a	DET
ijassa-270	75	29	kind	kind	NOUN
ijassa-270	75	30	of	of	ADP
ijassa-270	75	31	explosion	explosion	NOUN
ijassa-270	75	32	and	and	CCONJ
ijassa-270	75	33	the	the	DET
ijassa-270	75	34	end	end	NOUN
ijassa-270	75	35	of	of	ADP
ijassa-270	75	36	life	life	NOUN
ijassa-270	75	37	as	as	ADP
ijassa-270	75	38	an	an	DET
ijassa-270	75	39	involution	involution	NOUN
ijassa-270	75	40	,	,	PUNCT
ijassa-270	75	41	or	or	CCONJ
ijassa-270	75	42	a	a	DET
ijassa-270	75	43	kind	kind	NOUN
ijassa-270	75	44	of	of	ADP
ijassa-270	75	45	implosion	implosion	NOUN
ijassa-270	75	46	,	,	PUNCT
ijassa-270	75	47	more	more	ADJ
ijassa-270	75	48	or	or	CCONJ
ijassa-270	75	49	less	less	ADV
ijassa-270	75	50	quick	quick	ADJ
ijassa-270	75	51	.	.	PUNCT
ijassa-270	76	1	in	in	ADP
ijassa-270	76	2	our	our	PRON
ijassa-270	76	3	model	model	NOUN
ijassa-270	76	4	the	the	DET
ijassa-270	76	5	implosive	implosive	ADJ
ijassa-270	76	6	part	part	NOUN
ijassa-270	76	7	is	be	AUX
ijassa-270	76	8	symmetrical	symmetrical	ADJ
ijassa-270	76	9	with	with	ADP
ijassa-270	76	10	the	the	DET
ijassa-270	76	11	explosive	explosive	ADJ
ijassa-270	76	12	one	one	NOUN
ijassa-270	76	13	.	.	PUNCT
ijassa-270	77	1	this	this	PRON
ijassa-270	77	2	is	be	AUX
ijassa-270	77	3	not	not	PART
ijassa-270	77	4	very	very	ADV
ijassa-270	77	5	realistic	realistic	ADJ
ijassa-270	77	6	,	,	PUNCT
ijassa-270	77	7	since	since	SCONJ
ijassa-270	77	8	it	it	PRON
ijassa-270	77	9	seems	seem	VERB
ijassa-270	77	10	that	that	SCONJ
ijassa-270	77	11	the	the	DET
ijassa-270	77	12	implosive	implosive	ADJ
ijassa-270	77	13	part	part	NOUN
ijassa-270	77	14	must	must	AUX
ijassa-270	77	15	be	be	AUX
ijassa-270	77	16	shorter	short	ADJ
ijassa-270	77	17	.	.	PUNCT
ijassa-270	78	1	nevertheless	nevertheless	ADV
ijassa-270	78	2	if	if	SCONJ
ijassa-270	78	3	we	we	PRON
ijassa-270	78	4	consider	consider	VERB
ijassa-270	78	5	only	only	ADV
ijassa-270	78	6	the	the	DET
ijassa-270	78	7	qualitative	qualitative	ADJ
ijassa-270	78	8	aspect	aspect	NOUN
ijassa-270	78	9	of	of	ADP
ijassa-270	78	10	the	the	DET
ijassa-270	78	11	conclusions	conclusion	NOUN
ijassa-270	78	12	we	we	PRON
ijassa-270	78	13	can	can	AUX
ijassa-270	78	14	say	say	VERB
ijassa-270	78	15	that	that	SCONJ
ijassa-270	78	16	,	,	PUNCT
ijassa-270	78	17	from	from	ADP
ijassa-270	78	18	the	the	DET
ijassa-270	78	19	internal	internal	ADJ
ijassa-270	78	20	time	time	NOUN
ijassa-270	78	21	point	point	NOUN
ijassa-270	78	22	of	of	ADP
ijassa-270	78	23	view	view	NOUN
ijassa-270	78	24	,	,	PUNCT
ijassa-270	78	25	the	the	DET
ijassa-270	78	26	initial	initial	ADJ
ijassa-270	78	27	instant	instant	NOUN
ijassa-270	78	28	(	(	PUNCT
ijassa-270	78	29	conception	conception	NOUN
ijassa-270	78	30	)	)	PUNCT
ijassa-270	78	31	is	be	AUX
ijassa-270	78	32	pushed	push	VERB
ijassa-270	78	33	back	back	ADV
ijassa-270	78	34	to	to	ADP
ijassa-270	78	35	∞and	∞and	NOUN
ijassa-270	78	36	the	the	DET
ijassa-270	78	37	final	final	ADJ
ijassa-270	78	38	instant	instant	NOUN
ijassa-270	78	39	(	(	PUNCT
ijassa-270	78	40	death	death	NOUN
ijassa-270	78	41	)	)	PUNCT
ijassa-270	78	42	is	be	AUX
ijassa-270	78	43	pushed	push	VERB
ijassa-270	78	44	forward	forward	ADV
ijassa-270	78	45	to	to	ADP
ijassa-270	78	46	+	+	ADJ
ijassa-270	78	47	∞	∞	PROPN
ijassa-270	78	48	(	(	PUNCT
ijassa-270	78	49	vallée,1991,1996	vallée,1991,1996	ADJ
ijassa-270	78	50	)	)	PUNCT
ijassa-270	78	51	.	.	PUNCT
ijassa-270	79	1	the	the	DET
ijassa-270	79	2	first	first	ADJ
ijassa-270	79	3	part	part	NOUN
ijassa-270	79	4	of	of	ADP
ijassa-270	79	5	this	this	DET
ijassa-270	79	6	qualitative	qualitative	ADJ
ijassa-270	79	7	conclusion	conclusion	NOUN
ijassa-270	79	8	is	be	AUX
ijassa-270	79	9	in	in	ADP
ijassa-270	79	10	accordance	accordance	NOUN
ijassa-270	79	11	with	with	ADP
ijassa-270	79	12	the	the	DET
ijassa-270	79	13	natural	natural	ADJ
ijassa-270	79	14	feeling	feeling	NOUN
ijassa-270	79	15	of	of	ADP
ijassa-270	79	16	a	a	DET
ijassa-270	79	17	human	human	ADJ
ijassa-270	79	18	being	being	NOUN
ijassa-270	79	19	(	(	PUNCT
ijassa-270	79	20	if	if	SCONJ
ijassa-270	79	21	we	we	PRON
ijassa-270	79	22	consider	consider	VERB
ijassa-270	79	23	this	this	DET
ijassa-270	79	24	case)	case)	PROPN
ijassa-270	79	25	of	of	ADP
ijassa-270	79	26	having	have	VERB
ijassa-270	79	27	no	no	DET
ijassa-270	79	28	beginning	beginning	NOUN
ijassa-270	79	29	.	.	PUNCT
ijassa-270	80	1	we	we	PRON
ijassa-270	80	2	can	can	AUX
ijassa-270	80	3	also	also	ADV
ijassa-270	80	4	consider	consider	VERB
ijassa-270	80	5	the	the	DET
ijassa-270	80	6	case	case	NOUN
ijassa-270	80	7	of	of	ADP
ijassa-270	80	8	a	a	DET
ijassa-270	80	9	parabolic	parabolic	ADJ
ijassa-270	80	10	explosion	explosion	NOUN
ijassa-270	80	11	limited	limit	VERB
ijassa-270	80	12	at	at	ADP
ijassa-270	80	13	the	the	DET
ijassa-270	80	14	instant	instant	NOUN
ijassa-270	80	15	of	of	ADP
ijassa-270	80	16	death	death	NOUN
ijassa-270	80	17	.	.	PUNCT
ijassa-270	81	1	the	the	DET
ijassa-270	81	2	initial	initial	ADJ
ijassa-270	81	3	instant	instant	NOUN
ijassa-270	81	4	is	be	AUX
ijassa-270	81	5	pushed	push	VERB
ijassa-270	81	6	back	back	ADV
ijassa-270	81	7	to	to	ADP
ijassa-270	81	8	−∞	−∞	NOUN
ijassa-270	81	9	and	and	CCONJ
ijassa-270	81	10	the	the	DET
ijassa-270	81	11	internal	internal	ADJ
ijassa-270	81	12	time	time	NOUN
ijassa-270	81	13	is	be	AUX
ijassa-270	81	14	proportional	proportional	ADJ
ijassa-270	81	15	to	to	ADP
ijassa-270	81	16	the	the	DET
ijassa-270	81	17	logarithm	logarithm	NOUN
ijassa-270	81	18	of	of	ADP
ijassa-270	81	19	the	the	DET
ijassa-270	81	20	elapsed	elapse	VERB
ijassa-270	81	21	reference	reference	NOUN
ijassa-270	81	22	time	time	NOUN
ijassa-270	81	23	.	.	PUNCT
ijassa-270	82	1	it	it	PRON
ijassa-270	82	2	elapses	elapse	VERB
ijassa-270	82	3	slowly	slowly	ADV
ijassa-270	82	4	at	at	ADP
ijassa-270	82	5	the	the	DET
ijassa-270	82	6	beginning	beginning	NOUN
ijassa-270	82	7	and	and	CCONJ
ijassa-270	82	8	more	more	ADV
ijassa-270	82	9	and	and	CCONJ
ijassa-270	82	10	more	more	ADV
ijassa-270	82	11	quickly	quickly	ADV
ijassa-270	82	12	near	near	ADP
ijassa-270	82	13	the	the	DET
ijassa-270	82	14	end	end	NOUN
ijassa-270	82	15	.	.	PUNCT
ijassa-270	83	1	this	this	PRON
ijassa-270	83	2	is	be	AUX
ijassa-270	83	3	close	close	ADJ
ijassa-270	83	4	to	to	ADP
ijassa-270	83	5	the	the	DET
ijassa-270	83	6	ideas	idea	NOUN
ijassa-270	83	7	of	of	ADP
ijassa-270	83	8	lecomte	lecomte	PROPN
ijassa-270	83	9	du	du	PROPN
ijassa-270	83	10	noüy	noüy	PROPN
ijassa-270	83	11	(	(	PUNCT
ijassa-270	83	12	lecomte	lecomte	PROPN
ijassa-270	83	13	du	du	PROPN
ijassa-270	83	14	noüy	noüy	PROPN
ijassa-270	83	15	,	,	PUNCT
ijassa-270	83	16	1936	1936	NUM
ijassa-270	83	17	)	)	PUNCT
ijassa-270	83	18	.	.	PUNCT
ijassa-270	84	1	for	for	ADP
ijassa-270	84	2	him	he	PRON
ijassa-270	84	3	the	the	DET
ijassa-270	84	4	physiological	physiological	ADJ
ijassa-270	84	5	duration	duration	NOUN
ijassa-270	84	6	of	of	ADP
ijassa-270	84	7	an	an	DET
ijassa-270	84	8	astronomical	astronomical	ADJ
ijassa-270	84	9	time	time	NOUN
ijassa-270	84	10	interval	interval	NOUN
ijassa-270	84	11	(	(	PUNCT
ijassa-270	84	12	reference	reference	NOUN
ijassa-270	84	13	time	time	NOUN
ijassa-270	84	14	interval	interval	NOUN
ijassa-270	84	15	in	in	ADP
ijassa-270	84	16	our	our	PRON
ijassa-270	84	17	terminology	terminology	NOUN
ijassa-270	84	18	)	)	PUNCT
ijassa-270	84	19	,	,	PUNCT
ijassa-270	84	20	of	of	ADP
ijassa-270	84	21	given	give	VERB
ijassa-270	84	22	length	length	NOUN
ijassa-270	84	23	,	,	PUNCT
ijassa-270	84	24	is	be	AUX
ijassa-270	84	25	proportional	proportional	ADJ
ijassa-270	84	26	to	to	ADP
ijassa-270	84	27	the	the	DET
ijassa-270	84	28	speed	speed	NOUN
ijassa-270	84	29	of	of	ADP
ijassa-270	84	30	healing	healing	NOUN
ijassa-270	84	31	of	of	ADP
ijassa-270	84	32	wounds	wound	NOUN
ijassa-270	84	33	.	.	PUNCT
ijassa-270	85	1	this	this	DET
ijassa-270	85	2	speed	speed	NOUN
ijassa-270	85	3	varying	vary	VERB
ijassa-270	85	4	roughly	roughly	ADV
ijassa-270	85	5	as	as	ADP
ijassa-270	85	6	the	the	DET
ijassa-270	85	7	inverse	inverse	NOUN
ijassa-270	85	8	of	of	ADP
ijassa-270	85	9	age	age	NOUN
ijassa-270	85	10	,	,	PUNCT
ijassa-270	85	11	a	a	DET
ijassa-270	85	12	logarithmic	logarithmic	ADJ
ijassa-270	85	13	physiological	physiological	ADJ
ijassa-270	85	14	time	time	NOUN
ijassa-270	85	15	is	be	AUX
ijassa-270	85	16	generated	generate	VERB
ijassa-270	85	17	.	.	PUNCT
ijassa-270	86	1	but	but	CCONJ
ijassa-270	86	2	a	a	DET
ijassa-270	86	3	remark	remark	NOUN
ijassa-270	86	4	seems	seem	VERB
ijassa-270	86	5	necessary	necessary	ADJ
ijassa-270	86	6	in	in	ADP
ijassa-270	86	7	order	order	NOUN
ijassa-270	86	8	to	to	PART
ijassa-270	86	9	avoid	avoid	VERB
ijassa-270	86	10	apparent	apparent	ADJ
ijassa-270	86	11	paradoxes	paradox	NOUN
ijassa-270	86	12	:	:	PUNCT
ijassa-270	86	13	the	the	DET
ijassa-270	86	14	internal	internal	ADJ
ijassa-270	86	15	time	time	NOUN
ijassa-270	86	16	of	of	ADP
ijassa-270	86	17	a	a	DET
ijassa-270	86	18	conscious	conscious	ADJ
ijassa-270	86	19	being	being	NOUN
ijassa-270	86	20	may	may	AUX
ijassa-270	86	21	be	be	AUX
ijassa-270	86	22	different	different	ADJ
ijassa-270	86	23	from	from	ADP
ijassa-270	86	24	the	the	DET
ijassa-270	86	25	perceived	perceive	VERB
ijassa-270	86	26	internal	internal	ADJ
ijassa-270	86	27	time	time	NOUN
ijassa-270	86	28	.	.	PUNCT
ijassa-270	87	1	the	the	DET
ijassa-270	87	2	second	second	ADJ
ijassa-270	87	3	interpretation	interpretation	NOUN
ijassa-270	87	4	concerns	concern	VERB
ijassa-270	87	5	internal	internal	ADJ
ijassa-270	87	6	duration	duration	NOUN
ijassa-270	87	7	in	in	ADP
ijassa-270	87	8	cosmology	cosmology	NOUN
ijassa-270	87	9	.	.	PUNCT
ijassa-270	88	1	the	the	DET
ijassa-270	88	2	cases	case	NOUN
ijassa-270	88	3	of	of	ADP
ijassa-270	88	4	elliptic	elliptic	ADJ
ijassa-270	88	5	explosion	explosion	NOUN
ijassa-270	88	6	-	-	PUNCT
ijassa-270	88	7	implosion	implosion	NOUN
ijassa-270	88	8	,	,	PUNCT
ijassa-270	88	9	parabolic	parabolic	ADJ
ijassa-270	88	10	or	or	CCONJ
ijassa-270	88	11	hyperbolic	hyperbolic	ADJ
ijassa-270	88	12	explosion	explosion	NOUN
ijassa-270	88	13	have	have	VERB
ijassa-270	88	14	common	common	ADJ
ijassa-270	88	15	traits	trait	NOUN
ijassa-270	88	16	with	with	ADP
ijassa-270	88	17	certain	certain	ADJ
ijassa-270	88	18	robert	robert	NOUN
ijassa-270	88	19	:	:	PUNCT
ijassa-270	88	20	internal	internal	ADJ
ijassa-270	88	21	time	time	NOUN
ijassa-270	88	22	of	of	ADP
ijassa-270	88	23	a	a	DET
ijassa-270	88	24	dynamical	dynamical	ADJ
ijassa-270	88	25	system	system	NOUN
ijassa-270	88	26	4	4	NUM
ijassa-270	88	27	cosmological	cosmological	ADJ
ijassa-270	88	28	models	model	NOUN
ijassa-270	88	29	with	with	ADP
ijassa-270	88	30	primordial	primordial	ADJ
ijassa-270	88	31	explosion	explosion	NOUN
ijassa-270	88	32	followed	follow	VERB
ijassa-270	88	33	by	by	ADP
ijassa-270	88	34	final	final	ADJ
ijassa-270	88	35	implosion	implosion	NOUN
ijassa-270	88	36	or	or	CCONJ
ijassa-270	88	37	with	with	ADP
ijassa-270	88	38	primordial	primordial	ADJ
ijassa-270	88	39	explosion	explosion	NOUN
ijassa-270	88	40	only	only	ADV
ijassa-270	88	41	.	.	PUNCT
ijassa-270	89	1	generally	generally	ADV
ijassa-270	89	2	speaking	speak	VERB
ijassa-270	89	3	,	,	PUNCT
ijassa-270	89	4	the	the	DET
ijassa-270	89	5	differential	differential	ADJ
ijassa-270	89	6	equation	equation	NOUN
ijassa-270	89	7	giving	give	VERB
ijassa-270	89	8	the	the	DET
ijassa-270	89	9	evolution	evolution	NOUN
ijassa-270	89	10	of	of	ADP
ijassa-270	89	11	the	the	DET
ijassa-270	89	12	universe	universe	NOUN
ijassa-270	89	13	,	,	PUNCT
ijassa-270	89	14	whose	whose	DET
ijassa-270	89	15	state	state	NOUN
ijassa-270	89	16	at	at	ADP
ijassa-270	89	17	instant	instant	ADJ
ijassa-270	89	18	t	t	PROPN
ijassa-270	89	19	is	be	AUX
ijassa-270	89	20	described	describe	VERB
ijassa-270	89	21	by	by	ADP
ijassa-270	89	22	the	the	DET
ijassa-270	89	23	cosmological	cosmological	ADJ
ijassa-270	89	24	scale	scale	NOUN
ijassa-270	89	25	factor	factor	NOUN
ijassa-270	89	26	r(t	r(t	NOUN
ijassa-270	89	27	)	)	PUNCT
ijassa-270	89	28	,	,	PUNCT
ijassa-270	89	29	is	be	AUX
ijassa-270	89	30	according	accord	VERB
ijassa-270	89	31	to	to	ADP
ijassa-270	89	32	lemaître	lemaître	NOUN
ijassa-270	89	33	,	,	PUNCT
ijassa-270	89	34	friedmann	friedmann	PROPN
ijassa-270	89	35	,	,	PUNCT
ijassa-270	89	36	robertson	robertson	PROPN
ijassa-270	89	37	(	(	PUNCT
ijassa-270	89	38	berry	berry	NOUN
ijassa-270	89	39	,	,	PUNCT
ijassa-270	89	40	1989	1989	NUM
ijassa-270	89	41	)	)	PUNCT
ijassa-270	89	42	(	(	PUNCT
ijassa-270	89	43	dr(t)/dt)2	dr(t)/dt)2	PROPN
ijassa-270	89	44	=	=	SYM
ijassa-270	89	45	8πg/3ρ(t	8πg/3ρ(t	ADJ
ijassa-270	89	46	)	)	PUNCT
ijassa-270	89	47	r2(t	r2(t	PROPN
ijassa-270	89	48	)	)	PUNCT
ijassa-270	89	49	kc2	kc2	PROPN
ijassa-270	90	1	+	+	CCONJ
ijassa-270	90	2	λ/3	λ/3	PROPN
ijassa-270	90	3	r2(t	r2(t	X
ijassa-270	90	4	)	)	PUNCT
ijassa-270	90	5	,	,	PUNCT
ijassa-270	90	6	r(0	r(0	PROPN
ijassa-270	90	7	)	)	PUNCT
ijassa-270	90	8	=	=	SYM
ijassa-270	90	9	0	0	NUM
ijassa-270	90	10	(	(	PUNCT
ijassa-270	90	11	15	15	NUM
ijassa-270	90	12	)	)	PUNCT
ijassa-270	90	13	where	where	SCONJ
ijassa-270	90	14	g	g	PROPN
ijassa-270	90	15	is	be	AUX
ijassa-270	90	16	the	the	DET
ijassa-270	90	17	gravitational	gravitational	ADJ
ijassa-270	90	18	constant	constant	ADJ
ijassa-270	90	19	,	,	PUNCT
ijassa-270	90	20	c	c	X
ijassa-270	90	21	the	the	DET
ijassa-270	90	22	speed	speed	NOUN
ijassa-270	90	23	of	of	ADP
ijassa-270	90	24	light	light	NOUN
ijassa-270	90	25	,	,	PUNCT
ijassa-270	90	26	k	k	PROPN
ijassa-270	90	27	the	the	DET
ijassa-270	90	28	index	index	NOUN
ijassa-270	90	29	of	of	ADP
ijassa-270	90	30	curvature	curvature	NOUN
ijassa-270	90	31	(	(	PUNCT
ijassa-270	90	32	k	k	NOUN
ijassa-270	90	33	=	=	SYM
ijassa-270	90	34	-1	-1	PROPN
ijassa-270	90	35	,	,	PUNCT
ijassa-270	90	36	we	we	PRON
ijassa-270	90	37	have	have	VERB
ijassa-270	90	38	a	a	DET
ijassa-270	90	39	space	space	NOUN
ijassa-270	90	40	with	with	ADP
ijassa-270	90	41	negative	negative	ADJ
ijassa-270	90	42	curvature	curvature	NOUN
ijassa-270	90	43	;	;	PUNCT
ijassa-270	90	44	k	k	PROPN
ijassa-270	90	45	=	=	SYM
ijassa-270	90	46	0	0	PROPN
ijassa-270	90	47	,	,	PUNCT
ijassa-270	90	48	we	we	PRON
ijassa-270	90	49	have	have	VERB
ijassa-270	90	50	a	a	DET
ijassa-270	90	51	flat	flat	ADJ
ijassa-270	90	52	space	space	NOUN
ijassa-270	90	53	;	;	PUNCT
ijassa-270	90	54	k	k	PROPN
ijassa-270	90	55	=	=	SYM
ijassa-270	90	56	+1	+1	PROPN
ijassa-270	90	57	,	,	PUNCT
ijassa-270	90	58	the	the	DET
ijassa-270	90	59	space	space	NOUN
ijassa-270	90	60	has	have	VERB
ijassa-270	90	61	a	a	DET
ijassa-270	90	62	positive	positive	ADJ
ijassa-270	90	63	curvature	curvature	NOUN
ijassa-270	90	64	(	(	PUNCT
ijassa-270	90	65	then	then	ADV
ijassa-270	90	66	r(t	r(t	NOUN
ijassa-270	90	67	)	)	PUNCT
ijassa-270	90	68	may	may	AUX
ijassa-270	90	69	be	be	AUX
ijassa-270	90	70	considered	consider	VERB
ijassa-270	90	71	as	as	ADP
ijassa-270	90	72	the	the	DET
ijassa-270	90	73	radius	radius	NOUN
ijassa-270	90	74	of	of	ADP
ijassa-270	90	75	the	the	DET
ijassa-270	90	76	universe),	universe),	NUM
ijassa-270	90	77	λ	λ	X
ijassa-270	90	78	the	the	DET
ijassa-270	90	79	cosmic	cosmic	ADJ
ijassa-270	90	80	constant	constant	ADJ
ijassa-270	90	81	or	or	CCONJ
ijassa-270	90	82	cosmic	cosmic	ADJ
ijassa-270	90	83	repulsion	repulsion	NOUN
ijassa-270	90	84	term	term	NOUN
ijassa-270	90	85	,	,	PUNCT
ijassa-270	90	86	ρ(t	ρ(t	NUM
ijassa-270	90	87	)	)	PUNCT
ijassa-270	90	88	the	the	DET
ijassa-270	90	89	density	density	NOUN
ijassa-270	90	90	of	of	ADP
ijassa-270	90	91	matter	matter	NOUN
ijassa-270	90	92	or	or	CCONJ
ijassa-270	90	93	its	its	PRON
ijassa-270	90	94	material	material	NOUN
ijassa-270	90	95	equivalent	equivalent	NOUN
ijassa-270	90	96	in	in	ADP
ijassa-270	90	97	case	case	NOUN
ijassa-270	90	98	of	of	ADP
ijassa-270	90	99	pure	pure	ADJ
ijassa-270	90	100	radiation	radiation	NOUN
ijassa-270	90	101	.	.	PUNCT
ijassa-270	91	1	in	in	ADP
ijassa-270	91	2	the	the	DET
ijassa-270	91	3	material	material	NOUN
ijassa-270	91	4	case	case	NOUN
ijassa-270	91	5	ρ(t	ρ(t	NUM
ijassa-270	91	6	)	)	PUNCT
ijassa-270	92	1	=	=	SYM
ijassa-270	92	2	a	a	X
ijassa-270	92	3	/	/	SYM
ijassa-270	92	4	r3(t	r3(t	NOUN
ijassa-270	92	5	)	)	PUNCT
ijassa-270	92	6	and	and	CCONJ
ijassa-270	92	7	in	in	ADP
ijassa-270	92	8	the	the	DET
ijassa-270	92	9	case	case	NOUN
ijassa-270	92	10	of	of	ADP
ijassa-270	92	11	pure	pure	ADJ
ijassa-270	92	12	radiation	radiation	NOUN
ijassa-270	92	13	it	it	PRON
ijassa-270	92	14	is	be	AUX
ijassa-270	92	15	equal	equal	ADJ
ijassa-270	92	16	to	to	ADP
ijassa-270	92	17	b	b	PROPN
ijassa-270	92	18	/	/	SYM
ijassa-270	92	19	r4(t	r4(t	NOUN
ijassa-270	92	20	)	)	PUNCT
ijassa-270	92	21	,	,	PUNCT
ijassa-270	93	1	a	a	DET
ijassa-270	93	2	and	and	CCONJ
ijassa-270	93	3	b	b	NOUN
ijassa-270	93	4	being	being	NOUN
ijassa-270	93	5	constants	constant	NOUN
ijassa-270	93	6	.	.	PUNCT
ijassa-270	94	1	equation	equation	NOUN
ijassa-270	94	2	(	(	PUNCT
ijassa-270	94	3	5	5	NUM
ijassa-270	94	4	)	)	PUNCT
ijassa-270	94	5	,	,	PUNCT
ijassa-270	94	6	corresponding	correspond	VERB
ijassa-270	94	7	to	to	ADP
ijassa-270	94	8	an	an	DET
ijassa-270	94	9	elliptic	elliptic	ADJ
ijassa-270	94	10	explosion	explosion	NOUN
ijassa-270	94	11	-	-	PUNCT
ijassa-270	94	12	implosion	implosion	NOUN
ijassa-270	94	13	,	,	PUNCT
ijassa-270	94	14	gives	give	VERB
ijassa-270	94	15	if	if	SCONJ
ijassa-270	94	16	we	we	PRON
ijassa-270	94	17	consider	consider	VERB
ijassa-270	94	18	the	the	DET
ijassa-270	94	19	square	square	NOUN
ijassa-270	94	20	of	of	ADP
ijassa-270	94	21	its	its	PRON
ijassa-270	94	22	two	two	NUM
ijassa-270	94	23	members	member	NOUN
ijassa-270	94	24	(	(	PUNCT
ijassa-270	94	25	dx(t)/dt)2	dx(t)/dt)2	PROPN
ijassa-270	94	26	=	=	SYM
ijassa-270	94	27	q4	q4	PROPN
ijassa-270	94	28	/	/	SYM
ijassa-270	94	29	p2	p2	PROPN
ijassa-270	94	30	/	/	SYM
ijassa-270	94	31	x2(t	x2(t	PROPN
ijassa-270	94	32	)	)	PUNCT
ijassa-270	94	33	q2	q2	NOUN
ijassa-270	94	34	/	/	SYM
ijassa-270	94	35	p2	p2	PROPN
ijassa-270	94	36	if	if	SCONJ
ijassa-270	94	37	we	we	PRON
ijassa-270	94	38	substitute	substitute	VERB
ijassa-270	94	39	r(t	r(t	NOUN
ijassa-270	94	40	)	)	PUNCT
ijassa-270	94	41	to	to	ADP
ijassa-270	94	42	x(t	x(t	PROPN
ijassa-270	94	43	)	)	PUNCT
ijassa-270	94	44	,	,	PUNCT
ijassa-270	94	45	the	the	DET
ijassa-270	94	46	above	above	ADJ
ijassa-270	94	47	equation	equation	NOUN
ijassa-270	94	48	takes	take	VERB
ijassa-270	94	49	one	one	NUM
ijassa-270	94	50	of	of	ADP
ijassa-270	94	51	the	the	DET
ijassa-270	94	52	possible	possible	ADJ
ijassa-270	94	53	forms	form	NOUN
ijassa-270	94	54	of	of	ADP
ijassa-270	94	55	(	(	PUNCT
ijassa-270	94	56	15	15	NUM
ijassa-270	94	57	)	)	PUNCT
ijassa-270	94	58	if	if	SCONJ
ijassa-270	94	59	ρ(t	ρ(t	NUM
ijassa-270	94	60	)	)	PUNCT
ijassa-270	95	1	=	=	SYM
ijassa-270	95	2	b	b	X
ijassa-270	95	3	/	/	SYM
ijassa-270	95	4	r4(t	r4(t	NOUN
ijassa-270	95	5	)	)	PUNCT
ijassa-270	95	6	,	,	PUNCT
ijassa-270	95	7	k	k	PROPN
ijassa-270	95	8	=	=	SYM
ijassa-270	95	9	+1	+1	PROPN
ijassa-270	95	10	,	,	PUNCT
ijassa-270	95	11	λ=	λ=	VERB
ijassa-270	95	12	0	0	PUNCT
ijassa-270	95	13	.	.	PUNCT
ijassa-270	96	1	we	we	PRON
ijassa-270	96	2	have	have	VERB
ijassa-270	96	3	a	a	DET
ijassa-270	96	4	case	case	NOUN
ijassa-270	96	5	of	of	ADP
ijassa-270	96	6	pure	pure	ADJ
ijassa-270	96	7	radiation	radiation	NOUN
ijassa-270	96	8	with	with	ADP
ijassa-270	96	9	positive	positive	ADJ
ijassa-270	96	10	curvature	curvature	NOUN
ijassa-270	96	11	and	and	CCONJ
ijassa-270	96	12	null	null	ADJ
ijassa-270	96	13	cosmic	cosmic	ADJ
ijassa-270	96	14	constant	constant	ADJ
ijassa-270	96	15	.	.	PUNCT
ijassa-270	97	1	more	more	ADV
ijassa-270	97	2	precisely	precisely	ADV
ijassa-270	97	3	q	q	ADJ
ijassa-270	97	4	=	=	SYM
ijassa-270	97	5	c	c	X
ijassa-270	97	6	p	p	NOUN
ijassa-270	97	7	and	and	CCONJ
ijassa-270	97	8	p	p	NOUN
ijassa-270	97	9	=	=	ADJ
ijassa-270	97	10	1	1	NUM
ijassa-270	97	11	/	/	SYM
ijassa-270	97	12	c2	c2	PROPN
ijassa-270	97	13	(	(	PUNCT
ijassa-270	97	14	b	b	NOUN
ijassa-270	97	15	8πg/3)1/	8πg/3)1/	NUM
ijassa-270	97	16	2	2	NUM
ijassa-270	97	17	.	.	PUNCT
ijassa-270	98	1	then	then	ADV
ijassa-270	98	2	(	(	PUNCT
ijassa-270	98	3	dr(t)/dt)2	dr(t)/dt)2	PROPN
ijassa-270	98	4	=	=	SYM
ijassa-270	98	5	8πg/3	8πg/3	PROPN
ijassa-270	98	6	b	b	X
ijassa-270	98	7	/	/	SYM
ijassa-270	98	8	r2(t	r2(t	PROPN
ijassa-270	98	9	)	)	PUNCT
ijassa-270	98	10	–	–	PUNCT
ijassa-270	98	11	c2	c2	PROPN
ijassa-270	98	12	(	(	PUNCT
ijassa-270	98	13	16	16	NUM
ijassa-270	98	14	)	)	PUNCT
ijassa-270	98	15	the	the	DET
ijassa-270	98	16	internal	internal	ADJ
ijassa-270	98	17	time	time	NOUN
ijassa-270	98	18	of	of	ADP
ijassa-270	98	19	this	this	DET
ijassa-270	98	20	system	system	NOUN
ijassa-270	98	21	,	,	PUNCT
ijassa-270	98	22	which	which	PRON
ijassa-270	98	23	we	we	PRON
ijassa-270	98	24	propose	propose	VERB
ijassa-270	98	25	to	to	PART
ijassa-270	98	26	call	call	VERB
ijassa-270	98	27	generalized	generalized	ADJ
ijassa-270	98	28	cosmological	cosmological	ADJ
ijassa-270	98	29	time	time	NOUN
ijassa-270	98	30	(	(	PUNCT
ijassa-270	98	31	vallée	vallée	NOUN
ijassa-270	98	32	,	,	PUNCT
ijassa-270	98	33	1995	1995	NUM
ijassa-270	98	34	,	,	PUNCT
ijassa-270	98	35	1996	1996	NUM
ijassa-270	98	36	,	,	PUNCT
ijassa-270	98	37	2005	2005	NUM
ijassa-270	98	38	)	)	PUNCT
ijassa-270	98	39	is	be	AUX
ijassa-270	98	40	then	then	ADV
ijassa-270	98	41	given	give	VERB
ijassa-270	98	42	,	,	PUNCT
ijassa-270	98	43	according	accord	VERB
ijassa-270	98	44	to	to	ADP
ijassa-270	98	45	(	(	PUNCT
ijassa-270	98	46	8)	8)	NUM
ijassa-270	98	47	,	,	PUNCT
ijassa-270	98	48	by	by	ADP
ijassa-270	98	49	s(t)=	s(t)=	PROPN
ijassa-270	98	50	c2p/2	c2p/2	NOUN
ijassa-270	98	51	(	(	PUNCT
ijassa-270	98	52	log	log	PROPN
ijassa-270	98	53	t	t	PROPN
ijassa-270	98	54	2t	2t	PROPN
ijassa-270	98	55	/	/	SYM
ijassa-270	98	56	p	p	X
ijassa-270	98	57	–	–	PUNCT
ijassa-270	98	58	log	log	NOUN
ijassa-270	98	59	(	(	PUNCT
ijassa-270	98	60	2p	2p	NUM
ijassa-270	98	61	-	-	PUNCT
ijassa-270	98	62	t	t	NOUN
ijassa-270	98	63	)	)	PUNCT
ijassa-270	98	64	(	(	PUNCT
ijassa-270	98	65	17	17	NUM
ijassa-270	98	66	)	)	PUNCT
ijassa-270	98	67	the	the	DET
ijassa-270	98	68	initial	initial	ADJ
ijassa-270	98	69	reference	reference	NOUN
ijassa-270	98	70	instant	instant	NOUN
ijassa-270	98	71	t	t	PROPN
ijassa-270	98	72	=	=	SYM
ijassa-270	98	73	0	0	PROPN
ijassa-270	98	74	(	(	PUNCT
ijassa-270	98	75	“	"	PUNCT
ijassa-270	98	76	big	big	ADJ
ijassa-270	98	77	bang	bang	PROPN
ijassa-270	98	78	”	"	PUNCT
ijassa-270	98	79	)	)	PUNCT
ijassa-270	98	80	is	be	AUX
ijassa-270	98	81	pushed	push	VERB
ijassa-270	98	82	back	back	ADV
ijassa-270	98	83	to	to	ADP
ijassa-270	98	84	-∞	-∞	PUNCT
ijassa-270	98	85	and	and	CCONJ
ijassa-270	98	86	the	the	DET
ijassa-270	98	87	final	final	ADJ
ijassa-270	98	88	referenceinstant	referenceinstant	NOUN
ijassa-270	98	89	t	t	NOUN
ijassa-270	98	90	=	=	SYM
ijassa-270	98	91	2p	2p	NOUN
ijassa-270	98	92	(	(	PUNCT
ijassa-270	98	93	“	"	PUNCT
ijassa-270	98	94	big	big	ADJ
ijassa-270	98	95	crunch	crunch	NOUN
ijassa-270	98	96	”	"	PUNCT
ijassa-270	98	97	)	)	PUNCT
ijassa-270	98	98	is	be	AUX
ijassa-270	98	99	pushed	push	VERB
ijassa-270	98	100	forward	forward	ADV
ijassa-270	98	101	to	to	ADP
ijassa-270	98	102	+	+	PROPN
ijassa-270	98	103	∞.	∞.	PROPN
ijassa-270	98	104	but	but	CCONJ
ijassa-270	98	105	classically	classically	ADV
ijassa-270	98	106	a	a	DET
ijassa-270	98	107	cosmological	cosmological	ADJ
ijassa-270	98	108	model	model	NOUN
ijassa-270	98	109	with	with	ADP
ijassa-270	98	110	pure	pure	ADJ
ijassa-270	98	111	radiation	radiation	NOUN
ijassa-270	98	112	is	be	AUX
ijassa-270	98	113	accepted	accept	VERB
ijassa-270	98	114	mainly	mainly	ADV
ijassa-270	98	115	as	as	ADP
ijassa-270	98	116	an	an	DET
ijassa-270	98	117	approximation	approximation	NOUN
ijassa-270	98	118	valid	valid	NOUN
ijassa-270	98	119	when	when	SCONJ
ijassa-270	98	120	the	the	DET
ijassa-270	98	121	density	density	NOUN
ijassa-270	98	122	of	of	ADP
ijassa-270	98	123	matter	matter	NOUN
ijassa-270	98	124	(	(	PUNCT
ijassa-270	98	125	a	a	PRON
ijassa-270	98	126	/	/	SYM
ijassa-270	98	127	r3(t	r3(t	NOUN
ijassa-270	98	128	)	)	PUNCT
ijassa-270	98	129	)	)	PUNCT
ijassa-270	98	130	is	be	AUX
ijassa-270	98	131	negligible	negligible	ADJ
ijassa-270	98	132	compared	compare	VERB
ijassa-270	98	133	to	to	ADP
ijassa-270	98	134	the	the	DET
ijassa-270	98	135	(	(	PUNCT
ijassa-270	98	136	equivalent	equivalent	ADJ
ijassa-270	98	137	)	)	PUNCT
ijassa-270	98	138	density	density	NOUN
ijassa-270	98	139	of	of	ADP
ijassa-270	98	140	matter	matter	NOUN
ijassa-270	98	141	of	of	ADP
ijassa-270	98	142	pure	pure	ADJ
ijassa-270	98	143	radiation	radiation	NOUN
ijassa-270	98	144	(	(	PUNCT
ijassa-270	98	145	b	b	X
ijassa-270	98	146	/	/	SYM
ijassa-270	98	147	r4(t	r4(t	NOUN
ijassa-270	98	148	)	)	PUNCT
ijassa-270	98	149	)	)	PUNCT
ijassa-270	98	150	.	.	PUNCT
ijassa-270	99	1	this	this	PRON
ijassa-270	99	2	happens	happen	VERB
ijassa-270	99	3	when	when	SCONJ
ijassa-270	99	4	r(t	r(t	NOUN
ijassa-270	99	5	)	)	PUNCT
ijassa-270	99	6	is	be	AUX
ijassa-270	99	7	small	small	ADJ
ijassa-270	99	8	,	,	PUNCT
ijassa-270	99	9	so	so	CCONJ
ijassa-270	99	10	when	when	SCONJ
ijassa-270	99	11	t	t	PROPN
ijassa-270	99	12	is	be	AUX
ijassa-270	99	13	close	close	ADJ
ijassa-270	99	14	to	to	ADP
ijassa-270	99	15	0	0	NUM
ijassa-270	99	16	.	.	PUNCT
ijassa-270	100	1	in	in	ADP
ijassa-270	100	2	that	that	DET
ijassa-270	100	3	case	case	NOUN
ijassa-270	100	4	–	–	PUNCT
ijassa-270	100	5	kc2	kc2	PROPN
ijassa-270	100	6	is	be	AUX
ijassa-270	100	7	negligible	negligible	ADJ
ijassa-270	100	8	as	as	ADV
ijassa-270	100	9	well	well	ADV
ijassa-270	100	10	as	as	ADP
ijassa-270	100	11	λ/3r2	λ/3r2	PROPN
ijassa-270	100	12	and	and	CCONJ
ijassa-270	100	13	it	it	PRON
ijassa-270	100	14	is	be	AUX
ijassa-270	100	15	not	not	PART
ijassa-270	100	16	even	even	ADV
ijassa-270	100	17	necessary	necessary	ADJ
ijassa-270	100	18	to	to	PART
ijassa-270	100	19	suppose	suppose	VERB
ijassa-270	100	20	that	that	SCONJ
ijassa-270	100	21	λ	λ	PROPN
ijassa-270	101	1	=	=	NOUN
ijassa-270	101	2	0	0	NUM
ijassa-270	101	3	.	.	PUNCT
ijassa-270	102	1	we	we	PRON
ijassa-270	102	2	then	then	ADV
ijassa-270	102	3	have	have	VERB
ijassa-270	102	4	(	(	PUNCT
ijassa-270	102	5	dr(t)/dt)2	dr(t)/dt)2	PROPN
ijassa-270	102	6	=	=	SYM
ijassa-270	102	7	8πg/3	8πg/3	PROPN
ijassa-270	102	8	b	b	X
ijassa-270	102	9	/	/	SYM
ijassa-270	102	10	r2(t	r2(t	NOUN
ijassa-270	102	11	)	)	PUNCT
ijassa-270	102	12	(	(	PUNCT
ijassa-270	102	13	18	18	NUM
ijassa-270	102	14	)	)	PUNCT
ijassa-270	102	15	this	this	DET
ijassa-270	102	16	equation	equation	NOUN
ijassa-270	102	17	is	be	AUX
ijassa-270	102	18	that	that	PRON
ijassa-270	102	19	of	of	ADP
ijassa-270	102	20	the	the	DET
ijassa-270	102	21	radiation	radiation	NOUN
ijassa-270	102	22	-	-	PUNCT
ijassa-270	102	23	dominated	dominate	VERB
ijassa-270	102	24	era	era	NOUN
ijassa-270	102	25	at	at	ADP
ijassa-270	102	26	the	the	DET
ijassa-270	102	27	beginning	beginning	NOUN
ijassa-270	102	28	of	of	ADP
ijassa-270	102	29	the	the	DET
ijassa-270	102	30	universe	universe	NOUN
ijassa-270	102	31	,	,	PUNCT
ijassa-270	102	32	or	or	CCONJ
ijassa-270	102	33	that	that	PRON
ijassa-270	102	34	of	of	ADP
ijassa-270	102	35	an	an	DET
ijassa-270	102	36	evolution	evolution	NOUN
ijassa-270	102	37	with	with	ADP
ijassa-270	102	38	pure	pure	ADJ
ijassa-270	102	39	radiation	radiation	NOUN
ijassa-270	102	40	,	,	PUNCT
ijassa-270	102	41	null	null	ADJ
ijassa-270	102	42	cosmic	cosmic	ADJ
ijassa-270	102	43	constant	constant	ADJ
ijassa-270	102	44	and	and	CCONJ
ijassa-270	102	45	flat	flat	ADJ
ijassa-270	102	46	universe	universe	NOUN
ijassa-270	102	47	.	.	PUNCT
ijassa-270	103	1	it	it	PRON
ijassa-270	103	2	corresponds	correspond	VERB
ijassa-270	103	3	to	to	ADP
ijassa-270	103	4	a	a	DET
ijassa-270	103	5	parabolic	parabolic	ADJ
ijassa-270	103	6	explosion	explosion	NOUN
ijassa-270	103	7	whose	whose	DET
ijassa-270	103	8	differential	differential	ADJ
ijassa-270	103	9	equation	equation	NOUN
ijassa-270	103	10	,	,	PUNCT
ijassa-270	103	11	after	after	ADP
ijassa-270	103	12	taking	take	VERB
ijassa-270	103	13	the	the	DET
ijassa-270	103	14	square	square	NOUN
ijassa-270	103	15	of	of	ADP
ijassa-270	103	16	its	its	PRON
ijassa-270	103	17	two	two	NUM
ijassa-270	103	18	members	member	NOUN
ijassa-270	103	19	,	,	PUNCT
ijassa-270	103	20	gives	give	VERB
ijassa-270	103	21	(	(	PUNCT
ijassa-270	103	22	dx(t)/dt	dx(t)/dt	NOUN
ijassa-270	103	23	)	)	PUNCT
ijassa-270	103	24	=	=	SYM
ijassa-270	103	25	4h2	4h2	NUM
ijassa-270	103	26	/	/	SYM
ijassa-270	104	1	x2(t	x2(t	PROPN
ijassa-270	104	2	)	)	PUNCT
ijassa-270	104	3	we	we	PRON
ijassa-270	104	4	have	have	VERB
ijassa-270	104	5	just	just	ADV
ijassa-270	104	6	to	to	PART
ijassa-270	104	7	substitute	substitute	VERB
ijassa-270	104	8	r(t	r(t	NOUN
ijassa-270	104	9	)	)	PUNCT
ijassa-270	104	10	to	to	ADP
ijassa-270	104	11	x(t	x(t	PROPN
ijassa-270	104	12	)	)	PUNCT
ijassa-270	104	13	and	and	CCONJ
ijassa-270	104	14	(	(	PUNCT
ijassa-270	104	15	b	b	PROPN
ijassa-270	104	16	2πg/3)1/	2πg/3)1/	NUM
ijassa-270	104	17	2	2	NUM
ijassa-270	104	18	to	to	ADP
ijassa-270	104	19	h.	h.	NOUN
ijassa-270	104	20	according	accord	VERB
ijassa-270	104	21	to	to	ADP
ijassa-270	104	22	(	(	PUNCT
ijassa-270	104	23	14	14	NUM
ijassa-270	104	24	)	)	PUNCT
ijassa-270	104	25	,	,	PUNCT
ijassa-270	104	26	the	the	DET
ijassa-270	104	27	internal	internal	ADJ
ijassa-270	104	28	time	time	NOUN
ijassa-270	104	29	of	of	ADP
ijassa-270	104	30	this	this	DET
ijassa-270	104	31	universe	universe	NOUN
ijassa-270	104	32	is	be	AUX
ijassa-270	104	33	s(t	s(t	PROPN
ijassa-270	104	34	)	)	PUNCT
ijassa-270	105	1	=	=	PUNCT
ijassa-270	106	1	(	(	PUNCT
ijassa-270	106	2	b	b	X
ijassa-270	106	3	2πg/3)1/2	2πg/3)1/2	NUM
ijassa-270	106	4	log	log	NOUN
ijassa-270	106	5	t	t	PROPN
ijassa-270	106	6	(	(	PUNCT
ijassa-270	106	7	19	19	NUM
ijassa-270	106	8	)	)	PUNCT
ijassa-270	106	9	the	the	DET
ijassa-270	106	10	initial	initial	ADJ
ijassa-270	106	11	instant	instant	ADJ
ijassa-270	106	12	t	t	NOUN
ijassa-270	106	13	=	=	SYM
ijassa-270	106	14	0	0	PUNCT
ijassa-270	106	15	(	(	PUNCT
ijassa-270	106	16	“	"	PUNCT
ijassa-270	106	17	big	big	ADJ
ijassa-270	106	18	bang	bang	PROPN
ijassa-270	106	19	”	"	PUNCT
ijassa-270	106	20	)	)	PUNCT
ijassa-270	106	21	is	be	AUX
ijassa-270	106	22	pushed	push	VERB
ijassa-270	106	23	back	back	ADV
ijassa-270	106	24	to	to	ADP
ijassa-270	106	25	-∞.	-∞.	PUNCT
ijassa-270	106	26	we	we	PRON
ijassa-270	106	27	recognize	recognize	VERB
ijassa-270	106	28	here	here	ADV
ijassa-270	106	29	what	what	PRON
ijassa-270	106	30	milne	milne	PROPN
ijassa-270	106	31	has	have	AUX
ijassa-270	106	32	called	call	VERB
ijassa-270	106	33	cosmological	cosmological	ADJ
ijassa-270	106	34	time	time	NOUN
ijassa-270	106	35	(	(	PUNCT
ijassa-270	106	36	milne	milne	PROPN
ijassa-270	106	37	,	,	PUNCT
ijassa-270	106	38	1948	1948	NUM
ijassa-270	106	39	)	)	PUNCT
ijassa-270	106	40	.	.	PUNCT
ijassa-270	107	1	references	reference	NOUN
ijassa-270	107	2	[	[	X
ijassa-270	107	3	1	1	NUM
ijassa-270	107	4	]	]	PUNCT
ijassa-270	107	5	berry	berry	NOUN
ijassa-270	107	6	,	,	PUNCT
ijassa-270	107	7	m.	m.	NOUN
ijassa-270	107	8	principles	principle	NOUN
ijassa-270	107	9	of	of	ADP
ijassa-270	107	10	cosmology	cosmology	NOUN
ijassa-270	107	11	and	and	CCONJ
ijassa-270	107	12	gravitation	gravitation	NOUN
ijassa-270	107	13	.	.	PUNCT
ijassa-270	108	1	institute	institute	PROPN
ijassa-270	108	2	of	of	ADP
ijassa-270	108	3	physics	physics	PROPN
ijassa-270	108	4	publishing	publishing	NOUN
ijassa-270	108	5	,	,	PUNCT
ijassa-270	108	6	bristol	bristol	PROPN
ijassa-270	108	7	&	&	CCONJ
ijassa-270	108	8	philadelphia	philadelphia	PROPN
ijassa-270	108	9	,	,	PUNCT
ijassa-270	108	10	1989	1989	NUM
ijassa-270	108	11	.	.	PUNCT
ijassa-270	109	1	[	[	X
ijassa-270	109	2	2	2	NUM
ijassa-270	109	3	]	]	PUNCT
ijassa-270	109	4	lecomte	lecomte	PROPN
ijassa-270	109	5	du	du	PROPN
ijassa-270	109	6	noüy	noüy	PROPN
ijassa-270	109	7	.	.	PUNCT
ijassa-270	110	1	p.	p.	NOUN
ijassa-270	110	2	le	le	PUNCT
ijassa-270	111	1	temps	temps	PROPN
ijassa-270	111	2	et	et	PROPN
ijassa-270	111	3	la	la	PROPN
ijassa-270	111	4	vie	vie	PROPN
ijassa-270	111	5	.	.	PROPN
ijassa-270	111	6	gallimard	gallimard	PROPN
ijassa-270	111	7	,	,	PUNCT
ijassa-270	111	8	paris	paris	PROPN
ijassa-270	111	9	,	,	PUNCT
ijassa-270	111	10	1936	1936	NUM
ijassa-270	111	11	.	.	PUNCT
ijassa-270	112	1	[	[	X
ijassa-270	112	2	3	3	NUM
ijassa-270	112	3	]	]	X
ijassa-270	112	4	milne	milne	PROPN
ijassa-270	112	5	,	,	PUNCT
ijassa-270	112	6	e.	e.	PROPN
ijassa-270	112	7	a.	a.	PROPN
ijassa-270	112	8	kinematic	kinematic	PROPN
ijassa-270	112	9	relativiy	relativiy	PROPN
ijassa-270	112	10	.	.	PUNCT
ijassa-270	113	1	clarendon	clarendon	PROPN
ijassa-270	113	2	press	press	PROPN
ijassa-270	113	3	,	,	PUNCT
ijassa-270	113	4	oxford	oxford	NOUN
ijassa-270	113	5	,	,	PUNCT
ijassa-270	113	6	1948	1948	NUM
ijassa-270	113	7	.	.	PUNCT
ijassa-270	114	1	[	[	X
ijassa-270	114	2	4	4	NUM
ijassa-270	114	3	]	]	X
ijassa-270	114	4	vallée	vallée	NOUN
ijassa-270	114	5	,	,	PUNCT
ijassa-270	114	6	r.	r.	NOUN
ijassa-270	114	7	perception	perception	NOUN
ijassa-270	114	8	,	,	PUNCT
ijassa-270	114	9	memorisation	memorisation	NOUN
ijassa-270	114	10	and	and	CCONJ
ijassa-270	114	11	multidimensional	multidimensional	ADJ
ijassa-270	114	12	time	time	NOUN
ijassa-270	114	13	,	,	PUNCT
ijassa-270	114	14	kybernetes	kybernete	NOUN
ijassa-270	114	15	,	,	PUNCT
ijassa-270	114	16	1991	1991	NUM
ijassa-270	114	17	,	,	PUNCT
ijassa-270	114	18	vol.20	vol.20	X
ijassa-270	114	19	,	,	PUNCT
ijassa-270	114	20	15	15	NUM
ijassa-270	114	21	-	-	SYM
ijassa-270	114	22	28	28	NUM
ijassa-270	114	23	.	.	PUNCT
ijassa-270	115	1	[	[	X
ijassa-270	115	2	5	5	NUM
ijassa-270	115	3	]	]	PUNCT
ijassa-270	115	4	vallée	vallée	NOUN
ijassa-270	115	5	,	,	PUNCT
ijassa-270	115	6	r.	r.	PROPN
ijassa-270	115	7	cognition	cognition	PROPN
ijassa-270	115	8	et	et	PROPN
ijassa-270	115	9	système	système	PROPN
ijassa-270	115	10	.	.	PUNCT
ijassa-270	115	11	essai	essai	PROPN
ijassa-270	115	12	d’épistémo	d’épistémo	PROPN
ijassa-270	115	13	-	-	PUNCT
ijassa-270	115	14	praxéologie	praxéologie	NOUN
ijassa-270	115	15	.	.	PUNCT
ijassa-270	116	1	l’interdisciplinaire	l’interdisciplinaire	ADJ
ijassa-270	116	2	,	,	PUNCT
ijassa-270	116	3	limonest	limon	ADJ
ijassa-270	116	4	(	(	PUNCT
ijassa-270	116	5	france	france	PROPN
ijassa-270	116	6	)	)	PUNCT
ijassa-270	116	7	,	,	PUNCT
ijassa-270	116	8	1995	1995	NUM
ijassa-270	116	9	.	.	PUNCT
ijassa-270	117	1	advances	advance	NOUN
ijassa-270	117	2	in	in	ADP
ijassa-270	117	3	systems	system	NOUN
ijassa-270	117	4	science	science	NOUN
ijassa-270	117	5	and	and	CCONJ
ijassa-270	117	6	applications	application	NOUN
ijassa-270	117	7	(	(	PUNCT
ijassa-270	117	8	2010	2010	NUM
ijassa-270	117	9	)	)	PUNCT
ijassa-270	117	10	,	,	PUNCT
ijassa-270	117	11	vol.10	vol.10	NOUN
ijassa-270	117	12	,	,	PUNCT
ijassa-270	117	13	no.1	no.1	X
ijassa-270	117	14	5	5	NUM
ijassa-270	117	15	[	[	SYM
ijassa-270	117	16	6	6	NUM
ijassa-270	117	17	]	]	PUNCT
ijassa-270	117	18	vallée	vallée	NOUN
ijassa-270	117	19	,	,	PUNCT
ijassa-270	117	20	r.	r.	PROPN
ijassa-270	117	21	temps	temps	PROPN
ijassa-270	117	22	propre	propre	PROPN
ijassa-270	117	23	d’un	d’un	PROPN
ijassa-270	117	24	système	système	PROPN
ijassa-270	117	25	dynamique	dynamique	PROPN
ijassa-270	117	26	,	,	PUNCT
ijassa-270	117	27	cas	cas	PROPN
ijassa-270	117	28	d’un	d’un	PROPN
ijassa-270	117	29	système	système	PROPN
ijassa-270	117	30	explosif	explosif	PROPN
ijassa-270	117	31	-	-	PUNCT
ijassa-270	117	32	implosif	implosif	NOUN
ijassa-270	117	33	,	,	PUNCT
ijassa-270	117	34	in	in	ADP
ijassa-270	117	35	actes	actes	X
ijassa-270	117	36	du	du	PROPN
ijassa-270	117	37	3ème	3ème	PROPN
ijassa-270	117	38	congrès	congrès	X
ijassa-270	117	39	international	international	PROPN
ijassa-270	117	40	de	de	X
ijassa-270	117	41	systémique	systémique	NOUN
ijassa-270	117	42	,	,	PUNCT
ijassa-270	117	43	(	(	PUNCT
ijassa-270	117	44	e.	e.	PROPN
ijassa-270	117	45	pessa	pessa	PROPN
ijassa-270	117	46	,	,	PUNCT
ijassa-270	117	47	m.p	m.p	PROPN
ijassa-270	117	48	.	.	PROPN
ijassa-270	117	49	penna	penna	PROPN
ijassa-270	117	50	,	,	PUNCT
ijassa-270	117	51	dirs	dir	NOUN
ijassa-270	117	52	)	)	PUNCT
ijassa-270	117	53	,	,	PUNCT
ijassa-270	117	54	edizioni	edizioni	PROPN
ijassa-270	117	55	kappa	kappa	PROPN
ijassa-270	117	56	,	,	PUNCT
ijassa-270	117	57	rome	rome	PROPN
ijassa-270	117	58	,	,	PUNCT
ijassa-270	117	59	pp.967	pp.967	PROPN
ijassa-270	117	60	-	-	PUNCT
ijassa-270	117	61	970	970	NUM
ijassa-270	117	62	,	,	PUNCT
ijassa-270	117	63	1996	1996	NUM
ijassa-270	117	64	.	.	PUNCT
ijassa-270	118	1	[	[	X
ijassa-270	118	2	7	7	NUM
ijassa-270	118	3	]	]	X
ijassa-270	118	4	vallée	vallée	NOUN
ijassa-270	118	5	,	,	PUNCT
ijassa-270	118	6	r.	r.	NOUN
ijassa-270	118	7	time	time	NOUN
ijassa-270	118	8	and	and	CCONJ
ijassa-270	118	9	dynamical	dynamical	ADJ
ijassa-270	118	10	systems	system	NOUN
ijassa-270	118	11	.	.	PUNCT
ijassa-270	119	1	systems	system	NOUN
ijassa-270	119	2	science	science	PROPN
ijassa-270	119	3	vol.27	vol.27	PROPN
ijassa-270	119	4	,	,	PUNCT
ijassa-270	119	5	97	97	NUM
ijassa-270	119	6	-	-	SYM
ijassa-270	119	7	100	100	NUM
ijassa-270	119	8	,	,	PUNCT
ijassa-270	119	9	2001	2001	NUM
ijassa-270	119	10	.	.	PUNCT
ijassa-270	120	1	[	[	X
ijassa-270	120	2	8	8	NUM
ijassa-270	120	3	]	]	SYM
ijassa-270	120	4	vallée	vallée	NOUN
ijassa-270	120	5	,	,	PUNCT
ijassa-270	120	6	r.	r.	NOUN
ijassa-270	120	7	time	time	NOUN
ijassa-270	120	8	and	and	CCONJ
ijassa-270	120	9	systems	system	NOUN
ijassa-270	120	10	,	,	PUNCT
ijassa-270	120	11	kybernetes	kybernete	NOUN
ijassa-270	120	12	,	,	PUNCT
ijassa-270	120	13	vol.34	vol.34	NOUN
ijassa-270	120	14	,	,	PUNCT
ijassa-270	120	15	9	9	NUM
ijassa-270	120	16	-	-	SYM
ijassa-270	120	17	10	10	NUM
ijassa-270	120	18	,	,	PUNCT
ijassa-270	120	19	1563	1563	NUM
ijassa-270	120	20	-	-	SYM
ijassa-270	120	21	1569	1569	NUM
ijassa-270	120	22	,	,	PUNCT
ijassa-270	120	23	2005	2005	NUM
ijassa-270	120	24	.	.	PUNCT