id	sid	tid	token	lemma	pos
ejpam-6581	1	1	european	european	PROPN
ejpam-6581	1	2	journal	journal	PROPN
ejpam-6581	1	3	of	of	ADP
ejpam-6581	1	4	pure	pure	ADJ
ejpam-6581	1	5	and	and	CCONJ
ejpam-6581	1	6	applied	applied	ADJ
ejpam-6581	1	7	mathematics	mathematic	NOUN
ejpam-6581	1	8	2025	2025	NUM
ejpam-6581	1	9	,	,	PUNCT
ejpam-6581	1	10	vol	vol	NOUN
ejpam-6581	1	11	.	.	PROPN
ejpam-6581	1	12	18	18	NUM
ejpam-6581	1	13	,	,	PUNCT
ejpam-6581	1	14	issue	issue	NOUN
ejpam-6581	1	15	3	3	NUM
ejpam-6581	1	16	,	,	PUNCT
ejpam-6581	1	17	article	article	NOUN
ejpam-6581	1	18	number	number	NOUN
ejpam-6581	1	19	6581	6581	NUM
ejpam-6581	1	20	issn	issn	VERB
ejpam-6581	1	21	1307	1307	NUM
ejpam-6581	1	22	-	-	SYM
ejpam-6581	1	23	5543	5543	NUM
ejpam-6581	1	24	–	–	PUNCT
ejpam-6581	1	25	ejpam.com	ejpam.com	X
ejpam-6581	1	26	published	publish	VERB
ejpam-6581	1	27	by	by	ADP
ejpam-6581	1	28	new	new	PROPN
ejpam-6581	1	29	york	york	PROPN
ejpam-6581	1	30	business	business	PROPN
ejpam-6581	1	31	global	global	ADJ
ejpam-6581	1	32	asymptotic	asymptotic	ADJ
ejpam-6581	1	33	analysis	analysis	NOUN
ejpam-6581	1	34	of	of	ADP
ejpam-6581	1	35	varying	vary	VERB
ejpam-6581	1	36	light	light	ADJ
ejpam-6581	1	37	speed	speed	NOUN
ejpam-6581	1	38	cosmologies	cosmology	NOUN
ejpam-6581	1	39	dimitrios	dimitrio	VERB
ejpam-6581	1	40	trachilis	trachili	NOUN
ejpam-6581	1	41	college	college	NOUN
ejpam-6581	1	42	of	of	ADP
ejpam-6581	1	43	engineering	engineering	NOUN
ejpam-6581	1	44	and	and	CCONJ
ejpam-6581	1	45	technology	technology	NOUN
ejpam-6581	1	46	,	,	PUNCT
ejpam-6581	1	47	american	american	PROPN
ejpam-6581	1	48	university	university	PROPN
ejpam-6581	1	49	of	of	ADP
ejpam-6581	1	50	the	the	DET
ejpam-6581	1	51	middle	middle	PROPN
ejpam-6581	1	52	east	east	PROPN
ejpam-6581	1	53	,	,	PUNCT
ejpam-6581	1	54	egaila	egaila	PROPN
ejpam-6581	1	55	54200	54200	NUM
ejpam-6581	1	56	,	,	PUNCT
ejpam-6581	1	57	kuwait	kuwait	PROPN
ejpam-6581	1	58	abstract	abstract	NOUN
ejpam-6581	1	59	.	.	PUNCT
ejpam-6581	2	1	we	we	PRON
ejpam-6581	2	2	investigate	investigate	VERB
ejpam-6581	2	3	potential	potential	ADJ
ejpam-6581	2	4	singularities	singularity	NOUN
ejpam-6581	2	5	in	in	ADP
ejpam-6581	2	6	isotropic	isotropic	ADJ
ejpam-6581	2	7	cosmological	cosmological	ADJ
ejpam-6581	2	8	models	model	NOUN
ejpam-6581	2	9	featuring	feature	VERB
ejpam-6581	2	10	a	a	DET
ejpam-6581	2	11	timevarying	timevarye	VERB
ejpam-6581	2	12	speed	speed	NOUN
ejpam-6581	2	13	of	of	ADP
ejpam-6581	2	14	light	light	NOUN
ejpam-6581	2	15	and	and	CCONJ
ejpam-6581	2	16	the	the	DET
ejpam-6581	2	17	gravitational	gravitational	ADJ
ejpam-6581	2	18	constant	constant	NOUN
ejpam-6581	2	19	.	.	PUNCT
ejpam-6581	3	1	the	the	DET
ejpam-6581	3	2	governing	govern	VERB
ejpam-6581	3	3	field	field	NOUN
ejpam-6581	3	4	equations	equation	NOUN
ejpam-6581	3	5	generally	generally	ADV
ejpam-6581	3	6	simplify	simplify	VERB
ejpam-6581	3	7	into	into	ADP
ejpam-6581	3	8	two	two	NUM
ejpam-6581	3	9	-	-	PUNCT
ejpam-6581	3	10	dimensional	dimensional	ADJ
ejpam-6581	3	11	systems	system	NOUN
ejpam-6581	3	12	,	,	PUNCT
ejpam-6581	3	13	subject	subject	ADJ
ejpam-6581	3	14	to	to	ADP
ejpam-6581	3	15	analysis	analysis	NOUN
ejpam-6581	3	16	through	through	ADP
ejpam-6581	3	17	dynamical	dynamical	ADJ
ejpam-6581	3	18	systems	system	NOUN
ejpam-6581	3	19	techniques	technique	NOUN
ejpam-6581	3	20	within	within	ADP
ejpam-6581	3	21	phase	phase	NOUN
ejpam-6581	3	22	space	space	NOUN
ejpam-6581	3	23	and	and	CCONJ
ejpam-6581	3	24	the	the	DET
ejpam-6581	3	25	application	application	NOUN
ejpam-6581	3	26	of	of	ADP
ejpam-6581	3	27	asymptotic	asymptotic	ADJ
ejpam-6581	3	28	splitting	splitting	NOUN
ejpam-6581	3	29	methods	method	NOUN
ejpam-6581	3	30	.	.	PUNCT
ejpam-6581	4	1	in	in	ADP
ejpam-6581	4	2	the	the	DET
ejpam-6581	4	3	broader	broad	ADJ
ejpam-6581	4	4	context	context	NOUN
ejpam-6581	4	5	,	,	PUNCT
ejpam-6581	4	6	our	our	PRON
ejpam-6581	4	7	findings	finding	NOUN
ejpam-6581	4	8	reveal	reveal	VERB
ejpam-6581	4	9	the	the	DET
ejpam-6581	4	10	existence	existence	NOUN
ejpam-6581	4	11	of	of	ADP
ejpam-6581	4	12	initially	initially	ADV
ejpam-6581	4	13	expanding	expand	VERB
ejpam-6581	4	14	closed	closed	ADJ
ejpam-6581	4	15	models	model	NOUN
ejpam-6581	4	16	that	that	PRON
ejpam-6581	4	17	undergo	undergo	VERB
ejpam-6581	4	18	subsequent	subsequent	ADJ
ejpam-6581	4	19	recollapse	recollapse	NOUN
ejpam-6581	4	20	towards	towards	ADP
ejpam-6581	4	21	a	a	DET
ejpam-6581	4	22	future	future	ADJ
ejpam-6581	4	23	singularity	singularity	NOUN
ejpam-6581	4	24	,	,	PUNCT
ejpam-6581	4	25	and	and	CCONJ
ejpam-6581	4	26	open	open	VERB
ejpam-6581	4	27	universes	universe	NOUN
ejpam-6581	4	28	exhibiting	exhibit	VERB
ejpam-6581	4	29	perpetual	perpetual	ADJ
ejpam-6581	4	30	expansion	expansion	NOUN
ejpam-6581	4	31	into	into	ADP
ejpam-6581	4	32	the	the	DET
ejpam-6581	4	33	future	future	NOUN
ejpam-6581	4	34	.	.	PUNCT
ejpam-6581	5	1	the	the	DET
ejpam-6581	5	2	specific	specific	ADJ
ejpam-6581	5	3	characteristics	characteristic	NOUN
ejpam-6581	5	4	of	of	ADP
ejpam-6581	5	5	these	these	DET
ejpam-6581	5	6	singularities	singularity	NOUN
ejpam-6581	5	7	are	be	AUX
ejpam-6581	5	8	also	also	ADV
ejpam-6581	5	9	expounded	expound	VERB
ejpam-6581	5	10	upon	upon	SCONJ
ejpam-6581	5	11	.	.	PUNCT
ejpam-6581	6	1	2020	2020	NUM
ejpam-6581	6	2	mathematics	mathematic	NOUN
ejpam-6581	6	3	subject	subject	NOUN
ejpam-6581	6	4	classifications	classification	NOUN
ejpam-6581	6	5	:	:	PUNCT
ejpam-6581	6	6	83f05	83f05	NUM
ejpam-6581	6	7	,	,	PUNCT
ejpam-6581	6	8	34c20	34c20	NUM
ejpam-6581	6	9	,	,	PUNCT
ejpam-6581	6	10	83c05	83c05	NUM
ejpam-6581	6	11	,	,	PUNCT
ejpam-6581	6	12	34a34	34a34	NUM
ejpam-6581	6	13	key	key	ADJ
ejpam-6581	6	14	words	word	NOUN
ejpam-6581	6	15	and	and	CCONJ
ejpam-6581	6	16	phrases	phrase	NOUN
ejpam-6581	6	17	:	:	PUNCT
ejpam-6581	6	18	method	method	NOUN
ejpam-6581	6	19	of	of	ADP
ejpam-6581	6	20	asymptotic	asymptotic	ADJ
ejpam-6581	6	21	splittings	splitting	NOUN
ejpam-6581	6	22	,	,	PUNCT
ejpam-6581	6	23	varying	vary	VERB
ejpam-6581	6	24	light	light	ADJ
ejpam-6581	6	25	speed	speed	NOUN
ejpam-6581	6	26	cosmologies	cosmology	NOUN
ejpam-6581	6	27	,	,	PUNCT
ejpam-6581	6	28	asymptotic	asymptotic	ADJ
ejpam-6581	6	29	solutions	solution	NOUN
ejpam-6581	6	30	1	1	NUM
ejpam-6581	6	31	.	.	PUNCT
ejpam-6581	7	1	introduction	introduction	NOUN
ejpam-6581	7	2	varying	vary	VERB
ejpam-6581	7	3	speed	speed	NOUN
ejpam-6581	7	4	of	of	ADP
ejpam-6581	7	5	light	light	NOUN
ejpam-6581	7	6	(	(	PUNCT
ejpam-6581	7	7	vsl	vsl	NOUN
ejpam-6581	7	8	)	)	PUNCT
ejpam-6581	7	9	cosmologies	cosmology	NOUN
ejpam-6581	7	10	have	have	AUX
ejpam-6581	7	11	garnered	garner	VERB
ejpam-6581	7	12	significant	significant	ADJ
ejpam-6581	7	13	attention	attention	NOUN
ejpam-6581	7	14	as	as	ADP
ejpam-6581	7	15	alternatives	alternative	NOUN
ejpam-6581	7	16	to	to	ADP
ejpam-6581	7	17	cosmological	cosmological	ADJ
ejpam-6581	7	18	inflation	inflation	NOUN
ejpam-6581	7	19	,	,	PUNCT
ejpam-6581	7	20	offering	offer	VERB
ejpam-6581	7	21	an	an	DET
ejpam-6581	7	22	alternative	alternative	ADJ
ejpam-6581	7	23	framework	framework	NOUN
ejpam-6581	7	24	for	for	ADP
ejpam-6581	7	25	addressing	address	VERB
ejpam-6581	7	26	the	the	DET
ejpam-6581	7	27	challenges	challenge	NOUN
ejpam-6581	7	28	posed	pose	VERB
ejpam-6581	7	29	by	by	ADP
ejpam-6581	7	30	the	the	DET
ejpam-6581	7	31	standard	standard	ADJ
ejpam-6581	7	32	model	model	NOUN
ejpam-6581	7	33	(	(	PUNCT
ejpam-6581	7	34	refer	refer	VERB
ejpam-6581	7	35	to	to	ADP
ejpam-6581	7	36	[	[	X
ejpam-6581	7	37	1	1	NUM
ejpam-6581	7	38	]	]	PUNCT
ejpam-6581	7	39	and	and	CCONJ
ejpam-6581	7	40	associated	associated	ADJ
ejpam-6581	7	41	references	reference	NOUN
ejpam-6581	7	42	for	for	ADP
ejpam-6581	7	43	further	further	ADJ
ejpam-6581	7	44	details	detail	NOUN
ejpam-6581	7	45	)	)	PUNCT
ejpam-6581	7	46	.	.	PUNCT
ejpam-6581	8	1	rather	rather	ADV
ejpam-6581	8	2	than	than	ADP
ejpam-6581	8	3	embracing	embrace	VERB
ejpam-6581	8	4	the	the	DET
ejpam-6581	8	5	inflationary	inflationary	ADJ
ejpam-6581	8	6	paradigm	paradigm	NOUN
ejpam-6581	8	7	positing	posit	VERB
ejpam-6581	8	8	a	a	DET
ejpam-6581	8	9	phase	phase	NOUN
ejpam-6581	8	10	of	of	ADP
ejpam-6581	8	11	superluminal	superluminal	ADJ
ejpam-6581	8	12	expansion	expansion	NOUN
ejpam-6581	8	13	in	in	ADP
ejpam-6581	8	14	the	the	DET
ejpam-6581	8	15	early	early	ADJ
ejpam-6581	8	16	universe	universe	NOUN
ejpam-6581	8	17	,	,	PUNCT
ejpam-6581	8	18	these	these	DET
ejpam-6581	8	19	cosmologies	cosmology	NOUN
ejpam-6581	8	20	postulate	postulate	VERB
ejpam-6581	8	21	an	an	DET
ejpam-6581	8	22	accelerated	accelerated	ADJ
ejpam-6581	8	23	speed	speed	NOUN
ejpam-6581	8	24	of	of	ADP
ejpam-6581	8	25	light	light	NOUN
ejpam-6581	8	26	during	during	ADP
ejpam-6581	8	27	this	this	DET
ejpam-6581	8	28	epoch	epoch	NOUN
ejpam-6581	8	29	.	.	PUNCT
ejpam-6581	9	1	in	in	ADP
ejpam-6581	9	2	such	such	ADJ
ejpam-6581	9	3	cosmological	cosmological	ADJ
ejpam-6581	9	4	frameworks	framework	NOUN
ejpam-6581	9	5	,	,	PUNCT
ejpam-6581	9	6	the	the	DET
ejpam-6581	9	7	conventional	conventional	ADJ
ejpam-6581	9	8	enigmas	enigma	NOUN
ejpam-6581	9	9	encountered	encounter	VERB
ejpam-6581	9	10	in	in	ADP
ejpam-6581	9	11	standard	standard	ADJ
ejpam-6581	9	12	early	early	ADJ
ejpam-6581	9	13	universe	universe	ADJ
ejpam-6581	9	14	cosmology	cosmology	NOUN
ejpam-6581	9	15	are	be	AUX
ejpam-6581	9	16	circumvented	circumvent	VERB
ejpam-6581	9	17	,	,	PUNCT
ejpam-6581	9	18	albeit	albeit	SCONJ
ejpam-6581	9	19	at	at	ADP
ejpam-6581	9	20	the	the	DET
ejpam-6581	9	21	expense	expense	NOUN
ejpam-6581	9	22	of	of	ADP
ejpam-6581	9	23	violating	violate	VERB
ejpam-6581	9	24	the	the	DET
ejpam-6581	9	25	general	general	ADJ
ejpam-6581	9	26	covariance	covariance	NOUN
ejpam-6581	9	27	of	of	ADP
ejpam-6581	9	28	the	the	DET
ejpam-6581	9	29	underlying	underlying	ADJ
ejpam-6581	9	30	gravitational	gravitational	ADJ
ejpam-6581	9	31	theory	theory	NOUN
ejpam-6581	9	32	.	.	PUNCT
ejpam-6581	10	1	this	this	DET
ejpam-6581	10	2	response	response	NOUN
ejpam-6581	10	3	refrains	refrain	VERB
ejpam-6581	10	4	from	from	ADP
ejpam-6581	10	5	delving	delve	VERB
ejpam-6581	10	6	into	into	ADP
ejpam-6581	10	7	a	a	DET
ejpam-6581	10	8	discourse	discourse	NOUN
ejpam-6581	10	9	on	on	ADP
ejpam-6581	10	10	the	the	DET
ejpam-6581	10	11	foundational	foundational	ADJ
ejpam-6581	10	12	aspects	aspect	NOUN
ejpam-6581	10	13	of	of	ADP
ejpam-6581	10	14	vsl	vsl	NOUN
ejpam-6581	10	15	theories	theory	NOUN
ejpam-6581	10	16	and	and	CCONJ
ejpam-6581	10	17	the	the	DET
ejpam-6581	10	18	conceptual	conceptual	ADJ
ejpam-6581	10	19	intricacies	intricacy	NOUN
ejpam-6581	10	20	stemming	stem	VERB
ejpam-6581	10	21	from	from	ADP
ejpam-6581	10	22	the	the	DET
ejpam-6581	10	23	variable	variable	ADJ
ejpam-6581	10	24	nature	nature	NOUN
ejpam-6581	10	25	of	of	ADP
ejpam-6581	10	26	light	light	ADJ
ejpam-6581	10	27	speed	speed	NOUN
ejpam-6581	10	28	(	(	PUNCT
ejpam-6581	10	29	see	see	VERB
ejpam-6581	10	30	[	[	X
ejpam-6581	10	31	1	1	X
ejpam-6581	10	32	]	]	PUNCT
ejpam-6581	10	33	for	for	ADP
ejpam-6581	10	34	an	an	DET
ejpam-6581	10	35	in	in	ADP
ejpam-6581	10	36	-	-	PUNCT
ejpam-6581	10	37	depth	depth	NOUN
ejpam-6581	10	38	discussion	discussion	NOUN
ejpam-6581	10	39	)	)	PUNCT
ejpam-6581	10	40	.	.	PUNCT
ejpam-6581	11	1	in	in	ADP
ejpam-6581	11	2	this	this	DET
ejpam-6581	11	3	paper	paper	NOUN
ejpam-6581	11	4	,	,	PUNCT
ejpam-6581	11	5	we	we	PRON
ejpam-6581	11	6	present	present	VERB
ejpam-6581	11	7	initial	initial	ADJ
ejpam-6581	11	8	findings	finding	NOUN
ejpam-6581	11	9	from	from	ADP
ejpam-6581	11	10	[	[	X
ejpam-6581	11	11	2	2	NUM
ejpam-6581	11	12	]	]	PUNCT
ejpam-6581	11	13	involving	involve	VERB
ejpam-6581	11	14	the	the	DET
ejpam-6581	11	15	application	application	NOUN
ejpam-6581	11	16	of	of	ADP
ejpam-6581	11	17	the	the	DET
ejpam-6581	11	18	asymptotic	asymptotic	ADJ
ejpam-6581	11	19	splittings	splitting	NOUN
ejpam-6581	11	20	method	method	VERB
ejpam-6581	11	21	,	,	PUNCT
ejpam-6581	11	22	as	as	SCONJ
ejpam-6581	11	23	introduced	introduce	VERB
ejpam-6581	11	24	in	in	ADP
ejpam-6581	11	25	[	[	X
ejpam-6581	11	26	3	3	NUM
ejpam-6581	11	27	]	]	PUNCT
ejpam-6581	11	28	,	,	PUNCT
ejpam-6581	11	29	to	to	PART
ejpam-6581	11	30	analyze	analyze	VERB
ejpam-6581	11	31	singularities	singularity	NOUN
ejpam-6581	11	32	that	that	PRON
ejpam-6581	11	33	may	may	AUX
ejpam-6581	11	34	manifest	manifest	VERB
ejpam-6581	11	35	in	in	ADP
ejpam-6581	11	36	variable	variable	ADJ
ejpam-6581	11	37	speed	speed	NOUN
ejpam-6581	11	38	of	of	ADP
ejpam-6581	11	39	light	light	NOUN
ejpam-6581	11	40	(	(	PUNCT
ejpam-6581	11	41	vsl	vsl	NOUN
ejpam-6581	11	42	)	)	PUNCT
ejpam-6581	11	43	cosmologies	cosmology	NOUN
ejpam-6581	11	44	.	.	PUNCT
ejpam-6581	12	1	specifically	specifically	ADV
ejpam-6581	12	2	,	,	PUNCT
ejpam-6581	12	3	our	our	PRON
ejpam-6581	12	4	focus	focus	NOUN
ejpam-6581	12	5	is	be	AUX
ejpam-6581	12	6	directed	direct	VERB
ejpam-6581	12	7	towards	towards	ADP
ejpam-6581	12	8	doi	doi	NOUN
ejpam-6581	12	9	:	:	PUNCT
ejpam-6581	12	10	https://doi.org/10.29020/nybg.ejpam.v18i3.6581	https://doi.org/10.29020/nybg.ejpam.v18i3.6581	PRON
ejpam-6581	12	11	email	email	NOUN
ejpam-6581	12	12	address	address	NOUN
ejpam-6581	12	13	:	:	PUNCT
ejpam-6581	12	14	dimitrios.trachilis@aum.edu.kw	dimitrios.trachilis@aum.edu.kw	PROPN
ejpam-6581	12	15	(	(	PUNCT
ejpam-6581	12	16	d.	d.	NOUN
ejpam-6581	12	17	trachilis	trachilis	PROPN
ejpam-6581	12	18	)	)	PUNCT
ejpam-6581	12	19	https://www.ejpam.com	https://www.ejpam.com	X
ejpam-6581	13	1	1	1	NUM
ejpam-6581	13	2	copyright	copyright	NOUN
ejpam-6581	13	3	:	:	PUNCT
ejpam-6581	13	4	©	©	PROPN
ejpam-6581	13	5	2025	2025	NUM
ejpam-6581	13	6	the	the	DET
ejpam-6581	13	7	author(s	author(s	NOUN
ejpam-6581	13	8	)	)	PUNCT
ejpam-6581	13	9	.	.	PUNCT
ejpam-6581	14	1	(	(	PUNCT
ejpam-6581	14	2	cc	cc	NOUN
ejpam-6581	14	3	by	by	ADP
ejpam-6581	14	4	-	-	PUNCT
ejpam-6581	14	5	nc	nc	PROPN
ejpam-6581	14	6	4.0	4.0	NUM
ejpam-6581	14	7	)	)	PUNCT
ejpam-6581	14	8	d.	d.	NOUN
ejpam-6581	14	9	trachilis	trachilis	PROPN
ejpam-6581	14	10	/	/	SYM
ejpam-6581	14	11	eur	eur	PROPN
ejpam-6581	14	12	.	.	PUNCT
ejpam-6581	15	1	j.	j.	PROPN
ejpam-6581	15	2	pure	pure	PROPN
ejpam-6581	15	3	appl	appl	PROPN
ejpam-6581	15	4	.	.	PROPN
ejpam-6581	15	5	math	math	PROPN
ejpam-6581	15	6	,	,	PUNCT
ejpam-6581	15	7	18	18	NUM
ejpam-6581	15	8	(	(	PUNCT
ejpam-6581	15	9	3	3	NUM
ejpam-6581	15	10	)	)	PUNCT
ejpam-6581	15	11	(	(	PUNCT
ejpam-6581	15	12	2025	2025	NUM
ejpam-6581	15	13	)	)	PUNCT
ejpam-6581	15	14	,	,	PUNCT
ejpam-6581	15	15	6581	6581	NUM
ejpam-6581	15	16	2	2	NUM
ejpam-6581	15	17	of	of	ADP
ejpam-6581	15	18	12	12	NUM
ejpam-6581	15	19	the	the	DET
ejpam-6581	15	20	vsl	vsl	PROPN
ejpam-6581	15	21	model	model	NOUN
ejpam-6581	15	22	proposed	propose	VERB
ejpam-6581	15	23	in	in	ADP
ejpam-6581	15	24	[	[	X
ejpam-6581	15	25	4	4	NUM
ejpam-6581	15	26	]	]	PUNCT
ejpam-6581	15	27	and	and	CCONJ
ejpam-6581	15	28	further	far	ADV
ejpam-6581	15	29	elucidated	elucidated	ADJ
ejpam-6581	15	30	in	in	ADP
ejpam-6581	15	31	[	[	X
ejpam-6581	15	32	5	5	NUM
ejpam-6581	15	33	]	]	PUNCT
ejpam-6581	15	34	.	.	PUNCT
ejpam-6581	16	1	a	a	DET
ejpam-6581	16	2	noteworthy	noteworthy	ADJ
ejpam-6581	16	3	feature	feature	NOUN
ejpam-6581	16	4	of	of	ADP
ejpam-6581	16	5	this	this	DET
ejpam-6581	16	6	model	model	NOUN
ejpam-6581	16	7	lies	lie	VERB
ejpam-6581	16	8	in	in	ADP
ejpam-6581	16	9	the	the	DET
ejpam-6581	16	10	assumption	assumption	NOUN
ejpam-6581	16	11	of	of	ADP
ejpam-6581	16	12	minimal	minimal	ADJ
ejpam-6581	16	13	coupling	coupling	NOUN
ejpam-6581	16	14	within	within	ADP
ejpam-6581	16	15	the	the	DET
ejpam-6581	16	16	framework	framework	NOUN
ejpam-6581	16	17	of	of	ADP
ejpam-6581	16	18	einstein	einstein	PROPN
ejpam-6581	16	19	’s	’s	PART
ejpam-6581	16	20	equations	equation	NOUN
ejpam-6581	16	21	.	.	PUNCT
ejpam-6581	17	1	this	this	DET
ejpam-6581	17	2	assumption	assumption	NOUN
ejpam-6581	17	3	posits	posit	NOUN
ejpam-6581	17	4	that	that	SCONJ
ejpam-6581	17	5	a	a	DET
ejpam-6581	17	6	time	time	NOUN
ejpam-6581	17	7	-	-	PUNCT
ejpam-6581	17	8	variable	variable	ADJ
ejpam-6581	17	9	speed	speed	NOUN
ejpam-6581	17	10	of	of	ADP
ejpam-6581	17	11	light	light	NOUN
ejpam-6581	17	12	(	(	PUNCT
ejpam-6581	17	13	c	c	NOUN
ejpam-6581	17	14	)	)	PUNCT
ejpam-6581	17	15	should	should	AUX
ejpam-6581	17	16	not	not	PART
ejpam-6581	17	17	induce	induce	VERB
ejpam-6581	17	18	alterations	alteration	NOUN
ejpam-6581	17	19	in	in	ADP
ejpam-6581	17	20	the	the	DET
ejpam-6581	17	21	curvature	curvature	NOUN
ejpam-6581	17	22	terms	term	NOUN
ejpam-6581	17	23	within	within	ADP
ejpam-6581	17	24	einstein	einstein	PROPN
ejpam-6581	17	25	’s	’s	PART
ejpam-6581	17	26	equations	equation	NOUN
ejpam-6581	17	27	in	in	ADP
ejpam-6581	17	28	the	the	DET
ejpam-6581	17	29	cosmological	cosmological	ADJ
ejpam-6581	17	30	context	context	NOUN
ejpam-6581	17	31	;	;	PUNCT
ejpam-6581	17	32	thus	thus	ADV
ejpam-6581	17	33	,	,	PUNCT
ejpam-6581	17	34	the	the	DET
ejpam-6581	17	35	foundational	foundational	ADJ
ejpam-6581	17	36	equations	equation	NOUN
ejpam-6581	17	37	of	of	ADP
ejpam-6581	17	38	einstein	einstein	PROPN
ejpam-6581	17	39	persist	persist	NOUN
ejpam-6581	17	40	.	.	PUNCT
ejpam-6581	18	1	as	as	SCONJ
ejpam-6581	18	2	noted	note	VERB
ejpam-6581	18	3	by	by	ADP
ejpam-6581	18	4	barrow	barrow	NOUN
ejpam-6581	18	5	in	in	ADP
ejpam-6581	18	6	[	[	X
ejpam-6581	18	7	6	6	NUM
ejpam-6581	18	8	]	]	PUNCT
ejpam-6581	18	9	,	,	PUNCT
ejpam-6581	18	10	changes	change	NOUN
ejpam-6581	18	11	in	in	ADP
ejpam-6581	18	12	the	the	DET
ejpam-6581	18	13	speed	speed	NOUN
ejpam-6581	18	14	of	of	ADP
ejpam-6581	18	15	light	light	NOUN
ejpam-6581	18	16	occur	occur	VERB
ejpam-6581	18	17	within	within	ADP
ejpam-6581	18	18	the	the	DET
ejpam-6581	18	19	local	local	ADJ
ejpam-6581	18	20	lorentzian	lorentzian	ADJ
ejpam-6581	18	21	frames	frame	NOUN
ejpam-6581	18	22	associated	associate	VERB
ejpam-6581	18	23	with	with	ADP
ejpam-6581	18	24	cosmological	cosmological	ADJ
ejpam-6581	18	25	expansion	expansion	NOUN
ejpam-6581	18	26	,	,	PUNCT
ejpam-6581	18	27	representing	represent	VERB
ejpam-6581	18	28	a	a	DET
ejpam-6581	18	29	special	special	ADJ
ejpam-6581	18	30	-	-	PUNCT
ejpam-6581	18	31	relativistic	relativistic	ADJ
ejpam-6581	18	32	effect	effect	NOUN
ejpam-6581	18	33	.	.	PUNCT
ejpam-6581	19	1	consequently	consequently	ADV
ejpam-6581	19	2	,	,	PUNCT
ejpam-6581	19	3	the	the	DET
ejpam-6581	19	4	resulting	result	VERB
ejpam-6581	19	5	theory	theory	NOUN
ejpam-6581	19	6	lacks	lack	VERB
ejpam-6581	19	7	covariance	covariance	NOUN
ejpam-6581	19	8	,	,	PUNCT
ejpam-6581	19	9	necessitating	necessitate	VERB
ejpam-6581	19	10	the	the	DET
ejpam-6581	19	11	adoption	adoption	NOUN
ejpam-6581	19	12	of	of	ADP
ejpam-6581	19	13	a	a	DET
ejpam-6581	19	14	specific	specific	ADJ
ejpam-6581	19	15	time	time	NOUN
ejpam-6581	19	16	coordinate	coordinate	NOUN
ejpam-6581	19	17	.	.	PUNCT
ejpam-6581	20	1	opting	opt	VERB
ejpam-6581	20	2	for	for	ADP
ejpam-6581	20	3	comoving	comove	VERB
ejpam-6581	20	4	proper	proper	ADJ
ejpam-6581	20	5	time	time	NOUN
ejpam-6581	20	6	as	as	ADP
ejpam-6581	20	7	this	this	DET
ejpam-6581	20	8	specific	specific	ADJ
ejpam-6581	20	9	choice	choice	NOUN
ejpam-6581	20	10	,	,	PUNCT
ejpam-6581	20	11	the	the	DET
ejpam-6581	20	12	friedman	friedman	PROPN
ejpam-6581	20	13	equations	equation	NOUN
ejpam-6581	20	14	maintain	maintain	VERB
ejpam-6581	20	15	their	their	PRON
ejpam-6581	20	16	structure	structure	NOUN
ejpam-6581	20	17	while	while	SCONJ
ejpam-6581	20	18	accommodating	accommodate	VERB
ejpam-6581	20	19	variations	variation	NOUN
ejpam-6581	20	20	in	in	ADP
ejpam-6581	20	21	both	both	DET
ejpam-6581	20	22	c(t	c(t	PROPN
ejpam-6581	20	23	)	)	PUNCT
ejpam-6581	20	24	and	and	CCONJ
ejpam-6581	20	25	g(t	g(t	PROPN
ejpam-6581	20	26	)	)	PUNCT
ejpam-6581	20	27	.	.	PUNCT
ejpam-6581	21	1	the	the	DET
ejpam-6581	21	2	plan	plan	NOUN
ejpam-6581	21	3	of	of	ADP
ejpam-6581	21	4	this	this	DET
ejpam-6581	21	5	paper	paper	NOUN
ejpam-6581	21	6	is	be	AUX
ejpam-6581	21	7	as	as	SCONJ
ejpam-6581	21	8	follows	follow	VERB
ejpam-6581	21	9	.	.	PUNCT
ejpam-6581	22	1	in	in	ADP
ejpam-6581	22	2	the	the	DET
ejpam-6581	22	3	next	next	ADJ
ejpam-6581	22	4	two	two	NUM
ejpam-6581	22	5	sections	section	NOUN
ejpam-6581	22	6	,	,	PUNCT
ejpam-6581	22	7	we	we	PRON
ejpam-6581	22	8	use	use	VERB
ejpam-6581	22	9	the	the	DET
ejpam-6581	22	10	friedman	friedman	PROPN
ejpam-6581	22	11	equations	equation	NOUN
ejpam-6581	22	12	with	with	ADP
ejpam-6581	22	13	a	a	DET
ejpam-6581	22	14	power	power	NOUN
ejpam-6581	22	15	representation	representation	NOUN
ejpam-6581	22	16	for	for	ADP
ejpam-6581	22	17	the	the	DET
ejpam-6581	22	18	speed	speed	NOUN
ejpam-6581	22	19	of	of	ADP
ejpam-6581	22	20	light	light	NOUN
ejpam-6581	22	21	to	to	PART
ejpam-6581	22	22	derive	derive	VERB
ejpam-6581	22	23	an	an	DET
ejpam-6581	22	24	autonomous	autonomous	ADJ
ejpam-6581	22	25	dynamical	dynamical	ADJ
ejpam-6581	22	26	system	system	NOUN
ejpam-6581	22	27	in	in	ADP
ejpam-6581	22	28	suitable	suitable	ADJ
ejpam-6581	22	29	variables	variable	NOUN
ejpam-6581	22	30	.	.	PUNCT
ejpam-6581	23	1	then	then	ADV
ejpam-6581	23	2	,	,	PUNCT
ejpam-6581	23	3	we	we	PRON
ejpam-6581	23	4	apply	apply	VERB
ejpam-6581	23	5	the	the	DET
ejpam-6581	23	6	method	method	NOUN
ejpam-6581	23	7	of	of	ADP
ejpam-6581	23	8	asymptotic	asymptotic	ADJ
ejpam-6581	23	9	splittings	splitting	NOUN
ejpam-6581	23	10	to	to	PART
ejpam-6581	23	11	study	study	VERB
ejpam-6581	23	12	the	the	DET
ejpam-6581	23	13	evolution	evolution	NOUN
ejpam-6581	23	14	of	of	ADP
ejpam-6581	23	15	this	this	DET
ejpam-6581	23	16	model	model	NOUN
ejpam-6581	23	17	.	.	PUNCT
ejpam-6581	24	1	we	we	PRON
ejpam-6581	24	2	show	show	VERB
ejpam-6581	24	3	that	that	SCONJ
ejpam-6581	24	4	there	there	PRON
ejpam-6581	24	5	exist	exist	VERB
ejpam-6581	24	6	asymptotic	asymptotic	ADJ
ejpam-6581	24	7	solutions	solution	NOUN
ejpam-6581	24	8	of	of	ADP
ejpam-6581	24	9	the	the	DET
ejpam-6581	24	10	unknown	unknown	ADJ
ejpam-6581	24	11	variables	variable	NOUN
ejpam-6581	24	12	near	near	ADP
ejpam-6581	24	13	the	the	DET
ejpam-6581	24	14	initial	initial	ADJ
ejpam-6581	24	15	singularity	singularity	NOUN
ejpam-6581	24	16	.	.	PUNCT
ejpam-6581	25	1	in	in	ADP
ejpam-6581	25	2	sections	section	NOUN
ejpam-6581	25	3	4	4	NUM
ejpam-6581	25	4	-	-	SYM
ejpam-6581	25	5	5	5	NUM
ejpam-6581	25	6	,	,	PUNCT
ejpam-6581	25	7	apart	apart	ADV
ejpam-6581	25	8	from	from	ADP
ejpam-6581	25	9	the	the	DET
ejpam-6581	25	10	speed	speed	NOUN
ejpam-6581	25	11	of	of	ADP
ejpam-6581	25	12	light	light	NOUN
ejpam-6581	25	13	,	,	PUNCT
ejpam-6581	25	14	we	we	PRON
ejpam-6581	25	15	consider	consider	VERB
ejpam-6581	25	16	an	an	DET
ejpam-6581	25	17	additional	additional	ADJ
ejpam-6581	25	18	power	power	NOUN
ejpam-6581	25	19	representation	representation	NOUN
ejpam-6581	25	20	of	of	ADP
ejpam-6581	25	21	g	g	NOUN
ejpam-6581	25	22	and	and	CCONJ
ejpam-6581	25	23	apply	apply	VERB
ejpam-6581	25	24	the	the	DET
ejpam-6581	25	25	same	same	ADJ
ejpam-6581	25	26	asymptotic	asymptotic	ADJ
ejpam-6581	25	27	method	method	NOUN
ejpam-6581	25	28	to	to	PART
ejpam-6581	25	29	find	find	VERB
ejpam-6581	25	30	the	the	DET
ejpam-6581	25	31	admissible	admissible	ADJ
ejpam-6581	25	32	asymptotic	asymptotic	ADJ
ejpam-6581	25	33	solutions	solution	NOUN
ejpam-6581	25	34	of	of	ADP
ejpam-6581	25	35	this	this	DET
ejpam-6581	25	36	generalized	generalize	VERB
ejpam-6581	25	37	model	model	NOUN
ejpam-6581	25	38	.	.	PUNCT
ejpam-6581	26	1	in	in	ADP
ejpam-6581	26	2	section	section	NOUN
ejpam-6581	26	3	6	6	NUM
ejpam-6581	26	4	,	,	PUNCT
ejpam-6581	26	5	we	we	PRON
ejpam-6581	26	6	connect	connect	VERB
ejpam-6581	26	7	the	the	DET
ejpam-6581	26	8	general	general	ADJ
ejpam-6581	26	9	solutions	solution	NOUN
ejpam-6581	26	10	found	find	VERB
ejpam-6581	26	11	from	from	ADP
ejpam-6581	26	12	the	the	DET
ejpam-6581	26	13	method	method	NOUN
ejpam-6581	26	14	of	of	ADP
ejpam-6581	26	15	asymptotic	asymptotic	ADJ
ejpam-6581	26	16	splittings	splitting	NOUN
ejpam-6581	26	17	to	to	ADP
ejpam-6581	26	18	the	the	DET
ejpam-6581	26	19	flatness	flatness	NOUN
ejpam-6581	26	20	problem	problem	NOUN
ejpam-6581	26	21	described	describe	VERB
ejpam-6581	26	22	in	in	ADP
ejpam-6581	26	23	[	[	X
ejpam-6581	26	24	7	7	NUM
ejpam-6581	26	25	]	]	PUNCT
ejpam-6581	26	26	and	and	CCONJ
ejpam-6581	26	27	[	[	X
ejpam-6581	26	28	8	8	NUM
ejpam-6581	26	29	]	]	PUNCT
ejpam-6581	26	30	.	.	PUNCT
ejpam-6581	27	1	we	we	PRON
ejpam-6581	27	2	start	start	VERB
ejpam-6581	27	3	with	with	ADP
ejpam-6581	27	4	the	the	DET
ejpam-6581	27	5	friedman	friedman	PROPN
ejpam-6581	27	6	equations	equation	NOUN
ejpam-6581	27	7	,	,	PUNCT
ejpam-6581	27	8	(	(	PUNCT
ejpam-6581	27	9	ȧ	ȧ	PROPN
ejpam-6581	27	10	a	a	X
ejpam-6581	27	11	)	)	SYM
ejpam-6581	27	12	2	2	NUM
ejpam-6581	27	13	=	=	SYM
ejpam-6581	27	14	−kc2	−kc2	PROPN
ejpam-6581	27	15	a2	a2	PROPN
ejpam-6581	27	16	+	+	CCONJ
ejpam-6581	27	17	8πg	8πg	ADJ
ejpam-6581	27	18	3	3	NUM
ejpam-6581	27	19	ρ	ρ	NOUN
ejpam-6581	27	20	,	,	PUNCT
ejpam-6581	27	21	(	(	PUNCT
ejpam-6581	27	22	1	1	NUM
ejpam-6581	27	23	)	)	PUNCT
ejpam-6581	27	24	ä	ä	ADP
ejpam-6581	27	25	a	a	DET
ejpam-6581	27	26	=	=	X
ejpam-6581	27	27	−8πg	−8πg	NOUN
ejpam-6581	27	28	6	6	NUM
ejpam-6581	27	29	(	(	PUNCT
ejpam-6581	27	30	3γ	3γ	NUM
ejpam-6581	27	31	−	−	PROPN
ejpam-6581	27	32	2)ρ	2)ρ	NOUN
ejpam-6581	27	33	,	,	PUNCT
ejpam-6581	27	34	(	(	PUNCT
ejpam-6581	27	35	2	2	X
ejpam-6581	27	36	)	)	PUNCT
ejpam-6581	27	37	where	where	SCONJ
ejpam-6581	27	38	the	the	DET
ejpam-6581	27	39	equation	equation	NOUN
ejpam-6581	27	40	of	of	ADP
ejpam-6581	27	41	state	state	NOUN
ejpam-6581	27	42	has	have	VERB
ejpam-6581	27	43	the	the	DET
ejpam-6581	27	44	form	form	NOUN
ejpam-6581	27	45	,	,	PUNCT
ejpam-6581	27	46	p	p	NOUN
ejpam-6581	27	47	=	=	X
ejpam-6581	27	48	(	(	PUNCT
ejpam-6581	27	49	γ	γ	X
ejpam-6581	27	50	−	−	PROPN
ejpam-6581	27	51	1)ρc2	1)ρc2	NUM
ejpam-6581	27	52	,	,	PUNCT
ejpam-6581	27	53	(	(	PUNCT
ejpam-6581	27	54	3	3	X
ejpam-6581	27	55	)	)	PUNCT
ejpam-6581	27	56	with	with	ADP
ejpam-6581	27	57	0	0	NUM
ejpam-6581	27	58	<	<	X
ejpam-6581	27	59	γ	γ	X
ejpam-6581	27	60	≤	≤	NOUN
ejpam-6581	27	61	2	2	NUM
ejpam-6581	27	62	.	.	PUNCT
ejpam-6581	28	1	here	here	ADV
ejpam-6581	28	2	a	a	DET
ejpam-6581	28	3	=	=	PUNCT
ejpam-6581	28	4	a(t	a(t	NOUN
ejpam-6581	28	5	)	)	PUNCT
ejpam-6581	28	6	is	be	AUX
ejpam-6581	28	7	the	the	DET
ejpam-6581	28	8	scale	scale	NOUN
ejpam-6581	28	9	factor	factor	NOUN
ejpam-6581	28	10	,	,	PUNCT
ejpam-6581	28	11	p	p	PROPN
ejpam-6581	28	12	is	be	AUX
ejpam-6581	28	13	the	the	DET
ejpam-6581	28	14	fluid	fluid	ADJ
ejpam-6581	28	15	pressure	pressure	NOUN
ejpam-6581	28	16	,	,	PUNCT
ejpam-6581	28	17	ρ	ρ	PROPN
ejpam-6581	28	18	is	be	AUX
ejpam-6581	28	19	the	the	DET
ejpam-6581	28	20	fluid	fluid	ADJ
ejpam-6581	28	21	density	density	NOUN
ejpam-6581	28	22	,	,	PUNCT
ejpam-6581	28	23	and	and	CCONJ
ejpam-6581	28	24	k	k	PROPN
ejpam-6581	28	25	is	be	AUX
ejpam-6581	28	26	the	the	DET
ejpam-6581	28	27	constant	constant	ADJ
ejpam-6581	28	28	curvature	curvature	NOUN
ejpam-6581	28	29	normalized	normalize	VERB
ejpam-6581	28	30	to	to	ADP
ejpam-6581	28	31	k	k	PROPN
ejpam-6581	28	32	=	=	PUNCT
ejpam-6581	28	33	0,+1	0,+1	NOUN
ejpam-6581	28	34	or	or	CCONJ
ejpam-6581	28	35	−1	−1	NOUN
ejpam-6581	28	36	,	,	PUNCT
ejpam-6581	28	37	for	for	ADP
ejpam-6581	28	38	the	the	DET
ejpam-6581	28	39	flat	flat	ADJ
ejpam-6581	28	40	,	,	PUNCT
ejpam-6581	28	41	closed	closed	ADJ
ejpam-6581	28	42	,	,	PUNCT
ejpam-6581	28	43	or	or	CCONJ
ejpam-6581	28	44	open	open	ADJ
ejpam-6581	28	45	space	space	NOUN
ejpam-6581	28	46	,	,	PUNCT
ejpam-6581	28	47	respectively	respectively	ADV
ejpam-6581	28	48	.	.	PUNCT
ejpam-6581	29	1	we	we	PRON
ejpam-6581	29	2	consider	consider	VERB
ejpam-6581	29	3	the	the	DET
ejpam-6581	29	4	basic	basic	ADJ
ejpam-6581	29	5	friedman	friedman	NOUN
ejpam-6581	29	6	cosmological	cosmological	ADJ
ejpam-6581	29	7	equations	equation	NOUN
ejpam-6581	29	8	(	(	PUNCT
ejpam-6581	29	9	1	1	NUM
ejpam-6581	29	10	)	)	PUNCT
ejpam-6581	29	11	and	and	CCONJ
ejpam-6581	29	12	(	(	PUNCT
ejpam-6581	29	13	2	2	X
ejpam-6581	29	14	)	)	PUNCT
ejpam-6581	29	15	for	for	ADP
ejpam-6581	29	16	varying	vary	VERB
ejpam-6581	29	17	speed	speed	NOUN
ejpam-6581	29	18	of	of	ADP
ejpam-6581	29	19	light	light	NOUN
ejpam-6581	29	20	c	c	PROPN
ejpam-6581	29	21	and	and	CCONJ
ejpam-6581	29	22	for	for	ADP
ejpam-6581	29	23	both	both	CCONJ
ejpam-6581	29	24	constant	constant	ADJ
ejpam-6581	29	25	and	and	CCONJ
ejpam-6581	29	26	varying	vary	VERB
ejpam-6581	29	27	newtonian	newtonian	ADJ
ejpam-6581	29	28	gravitational	gravitational	ADJ
ejpam-6581	29	29	g	g	PROPN
ejpam-6581	29	30	to	to	PART
ejpam-6581	29	31	derive	derive	VERB
ejpam-6581	29	32	the	the	DET
ejpam-6581	29	33	associated	associated	ADJ
ejpam-6581	29	34	conservation	conservation	NOUN
ejpam-6581	29	35	law	law	NOUN
ejpam-6581	29	36	of	of	ADP
ejpam-6581	29	37	the	the	DET
ejpam-6581	29	38	theory	theory	NOUN
ejpam-6581	29	39	.	.	PUNCT
ejpam-6581	30	1	we	we	PRON
ejpam-6581	30	2	show	show	VERB
ejpam-6581	30	3	that	that	SCONJ
ejpam-6581	30	4	these	these	DET
ejpam-6581	30	5	equations	equation	NOUN
ejpam-6581	30	6	form	form	VERB
ejpam-6581	30	7	an	an	DET
ejpam-6581	30	8	autonomous	autonomous	ADJ
ejpam-6581	30	9	dynamical	dynamical	ADJ
ejpam-6581	30	10	system	system	NOUN
ejpam-6581	30	11	in	in	ADP
ejpam-6581	30	12	suitable	suitable	ADJ
ejpam-6581	30	13	variables	variable	NOUN
ejpam-6581	30	14	.	.	PUNCT
ejpam-6581	31	1	further	far	ADV
ejpam-6581	31	2	,	,	PUNCT
ejpam-6581	31	3	we	we	PRON
ejpam-6581	31	4	apply	apply	VERB
ejpam-6581	31	5	the	the	DET
ejpam-6581	31	6	method	method	NOUN
ejpam-6581	31	7	of	of	ADP
ejpam-6581	31	8	asymptotic	asymptotic	ADJ
ejpam-6581	31	9	splittings	splitting	NOUN
ejpam-6581	31	10	given	give	VERB
ejpam-6581	31	11	in	in	ADP
ejpam-6581	31	12	[	[	X
ejpam-6581	31	13	3	3	NUM
ejpam-6581	31	14	]	]	PUNCT
ejpam-6581	31	15	to	to	PART
ejpam-6581	31	16	examine	examine	VERB
ejpam-6581	31	17	the	the	DET
ejpam-6581	31	18	early	early	ADJ
ejpam-6581	31	19	evolution	evolution	NOUN
ejpam-6581	31	20	of	of	ADP
ejpam-6581	31	21	the	the	DET
ejpam-6581	31	22	varying	vary	VERB
ejpam-6581	31	23	speed	speed	NOUN
ejpam-6581	31	24	of	of	ADP
ejpam-6581	31	25	light	light	ADJ
ejpam-6581	31	26	cosmology	cosmology	NOUN
ejpam-6581	31	27	.	.	PUNCT
ejpam-6581	32	1	in	in	ADP
ejpam-6581	32	2	particular	particular	ADJ
ejpam-6581	32	3	,	,	PUNCT
ejpam-6581	32	4	we	we	PRON
ejpam-6581	32	5	study	study	VERB
ejpam-6581	32	6	separately	separately	ADV
ejpam-6581	32	7	2	2	NUM
ejpam-6581	32	8	+	+	SYM
ejpam-6581	32	9	1	1	NUM
ejpam-6581	32	10	cases	case	NOUN
ejpam-6581	32	11	with	with	ADP
ejpam-6581	32	12	respect	respect	NOUN
ejpam-6581	32	13	to	to	ADP
ejpam-6581	32	14	the	the	DET
ejpam-6581	32	15	varying	vary	VERB
ejpam-6581	32	16	c	c	NOUN
ejpam-6581	32	17	and	and	CCONJ
ejpam-6581	32	18	g	g	NOUN
ejpam-6581	32	19	,	,	PUNCT
ejpam-6581	32	20	namely	namely	ADV
ejpam-6581	32	21	that	that	SCONJ
ejpam-6581	32	22	the	the	DET
ejpam-6581	32	23	subcases	subcase	NOUN
ejpam-6581	32	24	of	of	ADP
ejpam-6581	32	25	varying	vary	VERB
ejpam-6581	32	26	c	c	PROPN
ejpam-6581	32	27	with	with	ADP
ejpam-6581	32	28	constant	constant	ADJ
ejpam-6581	32	29	g	g	NOUN
ejpam-6581	32	30	,	,	PUNCT
ejpam-6581	32	31	varying	vary	VERB
ejpam-6581	32	32	c	c	NOUN
ejpam-6581	32	33	and	and	CCONJ
ejpam-6581	32	34	g	g	NOUN
ejpam-6581	32	35	,	,	PUNCT
ejpam-6581	32	36	and	and	CCONJ
ejpam-6581	32	37	constant	constant	ADJ
ejpam-6581	32	38	c	c	NOUN
ejpam-6581	32	39	with	with	ADP
ejpam-6581	32	40	varying	vary	VERB
ejpam-6581	32	41	g.	g.	NOUN
ejpam-6581	32	42	the	the	DET
ejpam-6581	32	43	last	last	ADJ
ejpam-6581	32	44	subcase	subcase	NOUN
ejpam-6581	32	45	seems	seem	VERB
ejpam-6581	32	46	not	not	PART
ejpam-6581	32	47	to	to	PART
ejpam-6581	32	48	belong	belong	VERB
ejpam-6581	32	49	to	to	ADP
ejpam-6581	32	50	a	a	DET
ejpam-6581	32	51	varying	vary	VERB
ejpam-6581	32	52	speed	speed	NOUN
ejpam-6581	32	53	of	of	ADP
ejpam-6581	32	54	light	light	ADJ
ejpam-6581	32	55	cosmology	cosmology	NOUN
ejpam-6581	32	56	,	,	PUNCT
ejpam-6581	32	57	but	but	CCONJ
ejpam-6581	32	58	in	in	ADP
ejpam-6581	32	59	fact	fact	NOUN
ejpam-6581	32	60	it	it	PRON
ejpam-6581	32	61	provides	provide	VERB
ejpam-6581	32	62	an	an	DET
ejpam-6581	32	63	equivalent	equivalent	ADJ
ejpam-6581	32	64	problem	problem	NOUN
ejpam-6581	32	65	.	.	PUNCT
ejpam-6581	33	1	for	for	ADP
ejpam-6581	33	2	every	every	DET
ejpam-6581	33	3	previous	previous	ADJ
ejpam-6581	33	4	representation	representation	NOUN
ejpam-6581	33	5	of	of	ADP
ejpam-6581	33	6	c	c	PROPN
ejpam-6581	33	7	and	and	CCONJ
ejpam-6581	33	8	g	g	NOUN
ejpam-6581	33	9	we	we	PRON
ejpam-6581	33	10	find	find	VERB
ejpam-6581	33	11	valid	valid	ADJ
ejpam-6581	33	12	asymptotic	asymptotic	ADJ
ejpam-6581	33	13	solutions	solution	NOUN
ejpam-6581	33	14	near	near	ADP
ejpam-6581	33	15	the	the	DET
ejpam-6581	33	16	initial	initial	ADJ
ejpam-6581	33	17	singularity	singularity	NOUN
ejpam-6581	33	18	t0	t0	NOUN
ejpam-6581	33	19	.	.	PUNCT
ejpam-6581	34	1	d.	d.	PROPN
ejpam-6581	34	2	trachilis	trachilis	PROPN
ejpam-6581	34	3	/	/	SYM
ejpam-6581	34	4	eur	eur	PROPN
ejpam-6581	34	5	.	.	PUNCT
ejpam-6581	35	1	j.	j.	PROPN
ejpam-6581	35	2	pure	pure	PROPN
ejpam-6581	35	3	appl	appl	PROPN
ejpam-6581	35	4	.	.	PROPN
ejpam-6581	35	5	math	math	PROPN
ejpam-6581	35	6	,	,	PUNCT
ejpam-6581	35	7	18	18	NUM
ejpam-6581	35	8	(	(	PUNCT
ejpam-6581	35	9	3	3	NUM
ejpam-6581	35	10	)	)	PUNCT
ejpam-6581	35	11	(	(	PUNCT
ejpam-6581	35	12	2025	2025	NUM
ejpam-6581	35	13	)	)	PUNCT
ejpam-6581	35	14	,	,	PUNCT
ejpam-6581	35	15	6581	6581	NUM
ejpam-6581	35	16	3	3	NUM
ejpam-6581	35	17	of	of	ADP
ejpam-6581	35	18	12	12	NUM
ejpam-6581	35	19	2	2	NUM
ejpam-6581	35	20	.	.	PUNCT
ejpam-6581	35	21	reduction	reduction	NOUN
ejpam-6581	35	22	to	to	ADP
ejpam-6581	35	23	two	two	NUM
ejpam-6581	35	24	dimensions	dimension	NOUN
ejpam-6581	35	25	with	with	ADP
ejpam-6581	35	26	constant	constant	ADJ
ejpam-6581	35	27	g	g	NOUN
ejpam-6581	35	28	we	we	PRON
ejpam-6581	35	29	assume	assume	VERB
ejpam-6581	35	30	that	that	SCONJ
ejpam-6581	35	31	the	the	DET
ejpam-6581	35	32	varying	vary	VERB
ejpam-6581	35	33	speed	speed	NOUN
ejpam-6581	35	34	of	of	ADP
ejpam-6581	35	35	light	light	NOUN
ejpam-6581	35	36	c	c	PROPN
ejpam-6581	35	37	has	have	VERB
ejpam-6581	35	38	a	a	DET
ejpam-6581	35	39	representation	representation	NOUN
ejpam-6581	35	40	of	of	ADP
ejpam-6581	35	41	the	the	DET
ejpam-6581	35	42	form	form	NOUN
ejpam-6581	35	43	,	,	PUNCT
ejpam-6581	35	44	c	c	NOUN
ejpam-6581	35	45	=	=	SYM
ejpam-6581	35	46	c0a	c0a	X
ejpam-6581	35	47	n	n	CCONJ
ejpam-6581	35	48	,	,	PUNCT
ejpam-6581	35	49	n	n	PRON
ejpam-6581	35	50	∈	∈	NOUN
ejpam-6581	35	51	r	r	NOUN
ejpam-6581	35	52	,	,	PUNCT
ejpam-6581	35	53	(	(	PUNCT
ejpam-6581	35	54	4	4	X
ejpam-6581	35	55	)	)	PUNCT
ejpam-6581	35	56	the	the	DET
ejpam-6581	35	57	system	system	NOUN
ejpam-6581	35	58	of	of	ADP
ejpam-6581	35	59	units	unit	NOUN
ejpam-6581	35	60	of	of	ADP
ejpam-6581	35	61	which	which	PRON
ejpam-6581	35	62	satisfies	satisfy	VERB
ejpam-6581	35	63	8πg	8πg	ADJ
ejpam-6581	35	64	=	=	SYM
ejpam-6581	35	65	1	1	NUM
ejpam-6581	35	66	=	=	SYM
ejpam-6581	35	67	c0	c0	PROPN
ejpam-6581	35	68	2	2	NUM
ejpam-6581	35	69	.	.	PUNCT
ejpam-6581	35	70	differentiating	differentiate	VERB
ejpam-6581	35	71	eq	eq	PROPN
ejpam-6581	35	72	.	.	PUNCT
ejpam-6581	36	1	(	(	PUNCT
ejpam-6581	36	2	1	1	NUM
ejpam-6581	36	3	)	)	PUNCT
ejpam-6581	36	4	and	and	CCONJ
ejpam-6581	36	5	using	use	VERB
ejpam-6581	36	6	eq	eq	ADP
ejpam-6581	36	7	.	.	PUNCT
ejpam-6581	37	1	(	(	PUNCT
ejpam-6581	37	2	2	2	NUM
ejpam-6581	37	3	)	)	PUNCT
ejpam-6581	37	4	,	,	PUNCT
ejpam-6581	37	5	we	we	PRON
ejpam-6581	37	6	find	find	VERB
ejpam-6581	37	7	the	the	DET
ejpam-6581	37	8	conservation	conservation	NOUN
ejpam-6581	37	9	law	law	NOUN
ejpam-6581	37	10	,	,	PUNCT
ejpam-6581	37	11	ρ̇+	ρ̇+	PROPN
ejpam-6581	37	12	3γρ	3γρ	NOUN
ejpam-6581	37	13	ȧ	ȧ	PROPN
ejpam-6581	37	14	a	a	DET
ejpam-6581	37	15	=	=	X
ejpam-6581	37	16	3k	3k	NUM
ejpam-6581	37	17	4πg	4πg	NOUN
ejpam-6581	37	18	cċ	cċ	PROPN
ejpam-6581	37	19	a2	a2	PROPN
ejpam-6581	37	20	.	.	PUNCT
ejpam-6581	38	1	(	(	PUNCT
ejpam-6581	38	2	5	5	NUM
ejpam-6581	38	3	)	)	PUNCT
ejpam-6581	38	4	obviously	obviously	ADV
ejpam-6581	38	5	,	,	PUNCT
ejpam-6581	38	6	if	if	SCONJ
ejpam-6581	38	7	ċ	ċ	PRON
ejpam-6581	38	8	=	=	SYM
ejpam-6581	38	9	0	0	NUM
ejpam-6581	38	10	,	,	PUNCT
ejpam-6581	38	11	that	that	PRON
ejpam-6581	38	12	is	be	AUX
ejpam-6581	38	13	n	n	ADV
ejpam-6581	38	14	=	=	SYM
ejpam-6581	38	15	0	0	NUM
ejpam-6581	38	16	,	,	PUNCT
ejpam-6581	38	17	we	we	PRON
ejpam-6581	38	18	obtain	obtain	VERB
ejpam-6581	38	19	the	the	DET
ejpam-6581	38	20	same	same	ADJ
ejpam-6581	38	21	equations	equation	NOUN
ejpam-6581	38	22	as	as	ADP
ejpam-6581	38	23	in	in	ADP
ejpam-6581	38	24	general	general	ADJ
ejpam-6581	38	25	relativity	relativity	NOUN
ejpam-6581	38	26	because	because	SCONJ
ejpam-6581	38	27	the	the	DET
ejpam-6581	38	28	right	right	ADJ
ejpam-6581	38	29	-	-	PUNCT
ejpam-6581	38	30	hand	hand	NOUN
ejpam-6581	38	31	side	side	NOUN
ejpam-6581	38	32	of	of	ADP
ejpam-6581	38	33	(	(	PUNCT
ejpam-6581	38	34	5	5	NUM
ejpam-6581	38	35	)	)	PUNCT
ejpam-6581	38	36	vanishes	vanish	VERB
ejpam-6581	38	37	.	.	PUNCT
ejpam-6581	39	1	setting	set	VERB
ejpam-6581	39	2	x	x	PUNCT
ejpam-6581	39	3	=	=	SYM
ejpam-6581	39	4	1	1	NUM
ejpam-6581	39	5	a	a	PRON
ejpam-6581	39	6	,	,	PUNCT
ejpam-6581	39	7	(	(	PUNCT
ejpam-6581	39	8	6	6	NUM
ejpam-6581	39	9	)	)	PUNCT
ejpam-6581	39	10	h	h	NOUN
ejpam-6581	40	1	=	=	PUNCT
ejpam-6581	40	2	ȧ	ȧ	PROPN
ejpam-6581	40	3	a	a	X
ejpam-6581	40	4	,	,	PUNCT
ejpam-6581	40	5	(	(	PUNCT
ejpam-6581	40	6	7	7	X
ejpam-6581	40	7	)	)	PUNCT
ejpam-6581	40	8	the	the	DET
ejpam-6581	40	9	system	system	NOUN
ejpam-6581	40	10	(	(	PUNCT
ejpam-6581	40	11	1	1	NUM
ejpam-6581	40	12	)	)	PUNCT
ejpam-6581	40	13	,	,	PUNCT
ejpam-6581	40	14	(	(	PUNCT
ejpam-6581	40	15	2	2	NUM
ejpam-6581	40	16	)	)	PUNCT
ejpam-6581	40	17	,	,	PUNCT
ejpam-6581	40	18	and	and	CCONJ
ejpam-6581	40	19	(	(	PUNCT
ejpam-6581	40	20	5	5	X
ejpam-6581	40	21	)	)	PUNCT
ejpam-6581	40	22	implies	imply	VERB
ejpam-6581	40	23	,	,	PUNCT
ejpam-6581	40	24	ẋ	ẋ	PROPN
ejpam-6581	41	1	=	=	SYM
ejpam-6581	41	2	−xh	−xh	PROPN
ejpam-6581	41	3	,	,	PUNCT
ejpam-6581	41	4	(	(	PUNCT
ejpam-6581	41	5	8)	8)	NUM
ejpam-6581	41	6	ḣ	ḣ	NOUN
ejpam-6581	42	1	=	=	SYM
ejpam-6581	42	2	−h2	−h2	VERB
ejpam-6581	42	3	−	−	PROPN
ejpam-6581	42	4	3γ	3γ	NUM
ejpam-6581	42	5	−	−	PROPN
ejpam-6581	42	6	2	2	NUM
ejpam-6581	42	7	6	6	NUM
ejpam-6581	42	8	ρ	ρ	NOUN
ejpam-6581	42	9	,	,	PUNCT
ejpam-6581	42	10	(	(	PUNCT
ejpam-6581	42	11	9	9	X
ejpam-6581	42	12	)	)	PUNCT
ejpam-6581	42	13	ρ̇	ρ̇	NOUN
ejpam-6581	42	14	=	=	PUNCT
ejpam-6581	43	1	−3γρh	−3γρh	PROPN
ejpam-6581	44	1	+	+	PROPN
ejpam-6581	44	2	6knx2−2nh	6knx2−2nh	PROPN
ejpam-6581	44	3	,	,	PUNCT
ejpam-6581	44	4	(	(	PUNCT
ejpam-6581	44	5	10	10	NUM
ejpam-6581	44	6	)	)	PUNCT
ejpam-6581	44	7	(	(	PUNCT
ejpam-6581	44	8	11	11	NUM
ejpam-6581	44	9	)	)	PUNCT
ejpam-6581	44	10	together	together	ADV
ejpam-6581	44	11	with	with	ADP
ejpam-6581	44	12	the	the	DET
ejpam-6581	44	13	constraint	constraint	NOUN
ejpam-6581	44	14	,	,	PUNCT
ejpam-6581	44	15	h2	h2	PROPN
ejpam-6581	44	16	+	+	CCONJ
ejpam-6581	44	17	kx2−2n	kx2−2n	PROPN
ejpam-6581	44	18	=	=	SYM
ejpam-6581	44	19	1	1	NUM
ejpam-6581	44	20	3	3	NUM
ejpam-6581	44	21	ρ	ρ	NOUN
ejpam-6581	44	22	.	.	PUNCT
ejpam-6581	45	1	(	(	PUNCT
ejpam-6581	45	2	12	12	NUM
ejpam-6581	45	3	)	)	PUNCT
ejpam-6581	45	4	using	use	VERB
ejpam-6581	45	5	the	the	DET
ejpam-6581	45	6	last	last	ADJ
ejpam-6581	45	7	equation	equation	NOUN
ejpam-6581	45	8	,	,	PUNCT
ejpam-6581	45	9	we	we	PRON
ejpam-6581	45	10	can	can	AUX
ejpam-6581	45	11	eliminate	eliminate	VERB
ejpam-6581	45	12	x	x	PUNCT
ejpam-6581	45	13	or	or	CCONJ
ejpam-6581	45	14	ρ	ρ	NOUN
ejpam-6581	45	15	.	.	PUNCT
ejpam-6581	46	1	if	if	SCONJ
ejpam-6581	46	2	we	we	PRON
ejpam-6581	46	3	eliminate	eliminate	VERB
ejpam-6581	46	4	x	x	PRON
ejpam-6581	46	5	,	,	PUNCT
ejpam-6581	46	6	the	the	DET
ejpam-6581	46	7	remaining	remain	VERB
ejpam-6581	46	8	2dimensional	2dimensional	NUM
ejpam-6581	46	9	system	system	NOUN
ejpam-6581	46	10	takes	take	VERB
ejpam-6581	46	11	the	the	DET
ejpam-6581	46	12	form	form	NOUN
ejpam-6581	46	13	,	,	PUNCT
ejpam-6581	46	14	ḣ	ḣ	NOUN
ejpam-6581	46	15	=	=	SYM
ejpam-6581	46	16	−h2	−h2	VERB
ejpam-6581	46	17	−	−	PROPN
ejpam-6581	46	18	3γ	3γ	NUM
ejpam-6581	46	19	−	−	PROPN
ejpam-6581	46	20	2	2	NUM
ejpam-6581	46	21	6	6	NUM
ejpam-6581	46	22	ρ	ρ	NOUN
ejpam-6581	46	23	,	,	PUNCT
ejpam-6581	46	24	ρ̇	ρ̇	NOUN
ejpam-6581	47	1	=	=	PUNCT
ejpam-6581	48	1	−(3γ	−(3γ	NOUN
ejpam-6581	48	2	−	−	PROPN
ejpam-6581	48	3	2n)ρh	2n)ρh	NUM
ejpam-6581	49	1	−	−	PROPN
ejpam-6581	49	2	6nh3	6nh3	NUM
ejpam-6581	49	3	.	.	PUNCT
ejpam-6581	50	1	(	(	PUNCT
ejpam-6581	50	2	13	13	NUM
ejpam-6581	50	3	)	)	SYM
ejpam-6581	50	4	3	3	NUM
ejpam-6581	50	5	.	.	PUNCT
ejpam-6581	51	1	asymptotic	asymptotic	ADJ
ejpam-6581	51	2	forms	form	NOUN
ejpam-6581	51	3	of	of	ADP
ejpam-6581	51	4	h	h	NOUN
ejpam-6581	51	5	and	and	CCONJ
ejpam-6581	51	6	ρ	ρ	NOUN
ejpam-6581	51	7	with	with	ADP
ejpam-6581	51	8	constant	constant	ADJ
ejpam-6581	51	9	g	g	NOUN
ejpam-6581	51	10	in	in	ADP
ejpam-6581	51	11	this	this	DET
ejpam-6581	51	12	section	section	NOUN
ejpam-6581	51	13	we	we	PRON
ejpam-6581	51	14	will	will	AUX
ejpam-6581	51	15	apply	apply	VERB
ejpam-6581	51	16	the	the	DET
ejpam-6581	51	17	method	method	NOUN
ejpam-6581	51	18	of	of	ADP
ejpam-6581	51	19	asymptotic	asymptotic	ADJ
ejpam-6581	51	20	splittings	splitting	NOUN
ejpam-6581	51	21	[	[	X
ejpam-6581	51	22	3	3	NUM
ejpam-6581	51	23	]	]	PUNCT
ejpam-6581	51	24	(	(	PUNCT
ejpam-6581	51	25	see	see	VERB
ejpam-6581	51	26	also	also	ADV
ejpam-6581	51	27	[	[	X
ejpam-6581	51	28	9],[10	9],[10	NUM
ejpam-6581	51	29	]	]	PUNCT
ejpam-6581	51	30	)	)	PUNCT
ejpam-6581	51	31	to	to	ADP
ejpam-6581	51	32	the	the	DET
ejpam-6581	51	33	system	system	NOUN
ejpam-6581	51	34	(	(	PUNCT
ejpam-6581	51	35	13	13	NUM
ejpam-6581	51	36	)	)	PUNCT
ejpam-6581	51	37	in	in	ADP
ejpam-6581	51	38	order	order	NOUN
ejpam-6581	51	39	to	to	PART
ejpam-6581	51	40	find	find	VERB
ejpam-6581	51	41	the	the	DET
ejpam-6581	51	42	dominant	dominant	ADJ
ejpam-6581	51	43	features	feature	NOUN
ejpam-6581	51	44	on	on	ADP
ejpam-6581	51	45	approach	approach	NOUN
ejpam-6581	51	46	to	to	ADP
ejpam-6581	51	47	the	the	DET
ejpam-6581	51	48	initial	initial	ADJ
ejpam-6581	51	49	singularity	singularity	NOUN
ejpam-6581	51	50	,	,	PUNCT
ejpam-6581	51	51	taken	take	VERB
ejpam-6581	51	52	at	at	ADP
ejpam-6581	51	53	t	t	NOUN
ejpam-6581	51	54	=	=	SYM
ejpam-6581	51	55	0	0	X
ejpam-6581	51	56	.	.	PUNCT
ejpam-6581	52	1	in	in	ADP
ejpam-6581	52	2	fact	fact	NOUN
ejpam-6581	52	3	,	,	PUNCT
ejpam-6581	52	4	the	the	DET
ejpam-6581	52	5	singularity	singularity	NOUN
ejpam-6581	52	6	can	can	AUX
ejpam-6581	52	7	be	be	AUX
ejpam-6581	52	8	replaced	replace	VERB
ejpam-6581	52	9	by	by	ADP
ejpam-6581	52	10	any	any	DET
ejpam-6581	52	11	t	t	NOUN
ejpam-6581	52	12	=	=	SYM
ejpam-6581	52	13	t0	t0	PROPN
ejpam-6581	52	14	using	use	VERB
ejpam-6581	52	15	the	the	DET
ejpam-6581	52	16	variable	variable	NOUN
ejpam-6581	52	17	τ	τ	X
ejpam-6581	52	18	=	=	SYM
ejpam-6581	52	19	t	t	PROPN
ejpam-6581	52	20	−	−	PROPN
ejpam-6581	52	21	t0	t0	PROPN
ejpam-6581	52	22	.	.	PUNCT
ejpam-6581	53	1	system	system	NOUN
ejpam-6581	53	2	(	(	PUNCT
ejpam-6581	53	3	13	13	NUM
ejpam-6581	53	4	)	)	PUNCT
ejpam-6581	53	5	can	can	AUX
ejpam-6581	53	6	be	be	AUX
ejpam-6581	53	7	written	write	VERB
ejpam-6581	53	8	as	as	ADP
ejpam-6581	53	9	an	an	DET
ejpam-6581	53	10	autonomous	autonomous	ADJ
ejpam-6581	53	11	system	system	NOUN
ejpam-6581	53	12	of	of	ADP
ejpam-6581	53	13	the	the	DET
ejpam-6581	53	14	form	form	NOUN
ejpam-6581	53	15	,	,	PUNCT
ejpam-6581	53	16	below	below	ADP
ejpam-6581	53	17	we	we	PRON
ejpam-6581	53	18	are	be	AUX
ejpam-6581	53	19	interested	interested	ADJ
ejpam-6581	53	20	in	in	ADP
ejpam-6581	53	21	finding	find	VERB
ejpam-6581	53	22	asymptotic	asymptotic	ADJ
ejpam-6581	53	23	solutions	solution	NOUN
ejpam-6581	53	24	that	that	PRON
ejpam-6581	53	25	correspond	correspond	VERB
ejpam-6581	53	26	to	to	ADP
ejpam-6581	53	27	varying	vary	VERB
ejpam-6581	53	28	light	light	ADJ
ejpam-6581	53	29	speed	speed	NOUN
ejpam-6581	53	30	cosmologies	cosmology	NOUN
ejpam-6581	53	31	,	,	PUNCT
ejpam-6581	53	32	thus	thus	ADV
ejpam-6581	53	33	we	we	PRON
ejpam-6581	53	34	consider	consider	VERB
ejpam-6581	53	35	only	only	ADV
ejpam-6581	53	36	the	the	DET
ejpam-6581	53	37	n	n	PRON
ejpam-6581	53	38	̸=	̸=	PROPN
ejpam-6581	53	39	0	0	NUM
ejpam-6581	53	40	cases	case	NOUN
ejpam-6581	53	41	.	.	PUNCT
ejpam-6581	54	1	we	we	PRON
ejpam-6581	54	2	start	start	VERB
ejpam-6581	54	3	with	with	ADP
ejpam-6581	54	4	,	,	PUNCT
ejpam-6581	54	5	ẋ	ẋ	PROPN
ejpam-6581	54	6	=	=	SYM
ejpam-6581	54	7	f(x	f(x	PROPN
ejpam-6581	54	8	)	)	PUNCT
ejpam-6581	54	9	,	,	PUNCT
ejpam-6581	54	10	x	x	PUNCT
ejpam-6581	54	11	=	=	PRON
ejpam-6581	54	12	(	(	PUNCT
ejpam-6581	54	13	h	h	NOUN
ejpam-6581	54	14	,	,	PUNCT
ejpam-6581	54	15	ρ	ρ	PROPN
ejpam-6581	54	16	)	)	PUNCT
ejpam-6581	54	17	,	,	PUNCT
ejpam-6581	54	18	(	(	PUNCT
ejpam-6581	54	19	14	14	X
ejpam-6581	54	20	)	)	PUNCT
ejpam-6581	54	21	d.	d.	NOUN
ejpam-6581	54	22	trachilis	trachilis	PROPN
ejpam-6581	54	23	/	/	SYM
ejpam-6581	54	24	eur	eur	PROPN
ejpam-6581	54	25	.	.	PUNCT
ejpam-6581	55	1	j.	j.	PROPN
ejpam-6581	55	2	pure	pure	PROPN
ejpam-6581	55	3	appl	appl	PROPN
ejpam-6581	55	4	.	.	PROPN
ejpam-6581	55	5	math	math	PROPN
ejpam-6581	55	6	,	,	PUNCT
ejpam-6581	55	7	18	18	NUM
ejpam-6581	55	8	(	(	PUNCT
ejpam-6581	55	9	3	3	NUM
ejpam-6581	55	10	)	)	PUNCT
ejpam-6581	55	11	(	(	PUNCT
ejpam-6581	55	12	2025	2025	NUM
ejpam-6581	55	13	)	)	PUNCT
ejpam-6581	55	14	,	,	PUNCT
ejpam-6581	55	15	6581	6581	NUM
ejpam-6581	55	16	4	4	NUM
ejpam-6581	55	17	of	of	ADP
ejpam-6581	55	18	12	12	NUM
ejpam-6581	55	19	and	and	CCONJ
ejpam-6581	55	20	can	can	AUX
ejpam-6581	55	21	be	be	AUX
ejpam-6581	55	22	decomposed	decompose	VERB
ejpam-6581	55	23	asymptotically	asymptotically	ADV
ejpam-6581	55	24	into	into	ADP
ejpam-6581	55	25	a	a	DET
ejpam-6581	55	26	dominant	dominant	ADJ
ejpam-6581	55	27	part	part	NOUN
ejpam-6581	55	28	and	and	CCONJ
ejpam-6581	55	29	another	another	DET
ejpam-6581	55	30	,	,	PUNCT
ejpam-6581	55	31	subdominant	subdominant	ADJ
ejpam-6581	55	32	part	part	NOUN
ejpam-6581	55	33	f(x	f(x	PROPN
ejpam-6581	55	34	)	)	PUNCT
ejpam-6581	56	1	=	=	SYM
ejpam-6581	56	2	f	f	PROPN
ejpam-6581	56	3	(	(	PUNCT
ejpam-6581	56	4	0	0	NUM
ejpam-6581	56	5	)	)	PUNCT
ejpam-6581	56	6	i	i	PRON
ejpam-6581	56	7	(	(	PUNCT
ejpam-6581	56	8	x	x	X
ejpam-6581	56	9	)	)	PUNCT
ejpam-6581	57	1	+	+	NUM
ejpam-6581	57	2	f	f	X
ejpam-6581	57	3	(	(	PUNCT
ejpam-6581	57	4	sub	sub	NOUN
ejpam-6581	57	5	)	)	PUNCT
ejpam-6581	57	6	i	i	PRON
ejpam-6581	57	7	(	(	PUNCT
ejpam-6581	57	8	x	x	NOUN
ejpam-6581	57	9	)	)	PUNCT
ejpam-6581	57	10	,	,	PUNCT
ejpam-6581	57	11	(	(	PUNCT
ejpam-6581	57	12	15	15	NUM
ejpam-6581	57	13	)	)	PUNCT
ejpam-6581	57	14	in	in	ADP
ejpam-6581	57	15	9	9	NUM
ejpam-6581	57	16	different	different	ADJ
ejpam-6581	57	17	ways	way	NOUN
ejpam-6581	57	18	(	(	PUNCT
ejpam-6581	57	19	i	i	NOUN
ejpam-6581	57	20	=	=	NOUN
ejpam-6581	57	21	1	1	NUM
ejpam-6581	57	22	,	,	PUNCT
ejpam-6581	57	23	2	2	NUM
ejpam-6581	57	24	,	,	PUNCT
ejpam-6581	57	25	3	3	NUM
ejpam-6581	57	26	,	,	PUNCT
ejpam-6581	57	27	·	·	PUNCT
ejpam-6581	57	28	·	·	PUNCT
ejpam-6581	57	29	·	·	PUNCT
ejpam-6581	57	30	,	,	PUNCT
ejpam-6581	57	31	9	9	NUM
ejpam-6581	57	32	)	)	PUNCT
ejpam-6581	57	33	.	.	PUNCT
ejpam-6581	58	1	a	a	DET
ejpam-6581	58	2	solution	solution	NOUN
ejpam-6581	58	3	to	to	ADP
ejpam-6581	58	4	the	the	DET
ejpam-6581	58	5	system	system	NOUN
ejpam-6581	58	6	(	(	PUNCT
ejpam-6581	58	7	13	13	NUM
ejpam-6581	58	8	)	)	PUNCT
ejpam-6581	58	9	,	,	PUNCT
ejpam-6581	58	10	which	which	PRON
ejpam-6581	58	11	is	be	AUX
ejpam-6581	58	12	called	call	VERB
ejpam-6581	58	13	dominant	dominant	ADJ
ejpam-6581	58	14	near	near	ADP
ejpam-6581	58	15	the	the	DET
ejpam-6581	58	16	singularity	singularity	NOUN
ejpam-6581	58	17	,	,	PUNCT
ejpam-6581	58	18	is	be	AUX
ejpam-6581	58	19	of	of	ADP
ejpam-6581	58	20	the	the	DET
ejpam-6581	58	21	form	form	NOUN
ejpam-6581	58	22	,	,	PUNCT
ejpam-6581	58	23	x(t	x(t	PROPN
ejpam-6581	58	24	)	)	PUNCT
ejpam-6581	58	25	=	=	SYM
ejpam-6581	58	26	atp	atp	PROPN
ejpam-6581	58	27	=	=	SYM
ejpam-6581	58	28	(	(	PUNCT
ejpam-6581	58	29	αtp	αtp	PROPN
ejpam-6581	58	30	,	,	PUNCT
ejpam-6581	58	31	βtq	βtq	PROPN
ejpam-6581	58	32	)	)	PUNCT
ejpam-6581	58	33	,	,	PUNCT
ejpam-6581	58	34	(	(	PUNCT
ejpam-6581	58	35	16	16	NUM
ejpam-6581	58	36	)	)	PUNCT
ejpam-6581	59	1	where	where	SCONJ
ejpam-6581	59	2	a	a	DET
ejpam-6581	59	3	=	=	X
ejpam-6581	59	4	(	(	PUNCT
ejpam-6581	59	5	α	α	NOUN
ejpam-6581	59	6	,	,	PUNCT
ejpam-6581	59	7	β	β	NOUN
ejpam-6581	59	8	)	)	PUNCT
ejpam-6581	59	9	∈	∈	PROPN
ejpam-6581	59	10	c2	c2	PROPN
ejpam-6581	59	11	and	and	CCONJ
ejpam-6581	59	12	p	p	NOUN
ejpam-6581	59	13	=	=	X
ejpam-6581	59	14	(	(	PUNCT
ejpam-6581	59	15	p	p	X
ejpam-6581	59	16	,	,	PUNCT
ejpam-6581	59	17	q	q	NOUN
ejpam-6581	59	18	)	)	PUNCT
ejpam-6581	59	19	∈	∈	PROPN
ejpam-6581	59	20	q2	q2	NOUN
ejpam-6581	59	21	.	.	PUNCT
ejpam-6581	60	1	the	the	DET
ejpam-6581	60	2	pair	pair	NOUN
ejpam-6581	60	3	(	(	PUNCT
ejpam-6581	60	4	a	a	DET
ejpam-6581	60	5	,	,	PUNCT
ejpam-6581	60	6	p	p	NOUN
ejpam-6581	60	7	)	)	PUNCT
ejpam-6581	60	8	is	be	AUX
ejpam-6581	60	9	called	call	VERB
ejpam-6581	60	10	a	a	DET
ejpam-6581	60	11	dominant	dominant	ADJ
ejpam-6581	60	12	balance	balance	NOUN
ejpam-6581	60	13	of	of	ADP
ejpam-6581	60	14	the	the	DET
ejpam-6581	60	15	vector	vector	NOUN
ejpam-6581	60	16	field	field	NOUN
ejpam-6581	60	17	f(x	f(x	PROPN
ejpam-6581	60	18	)	)	PUNCT
ejpam-6581	60	19	if	if	SCONJ
ejpam-6581	60	20	it	it	PRON
ejpam-6581	60	21	corresponds	correspond	VERB
ejpam-6581	60	22	to	to	ADP
ejpam-6581	60	23	a	a	DET
ejpam-6581	60	24	dominant	dominant	ADJ
ejpam-6581	60	25	solution	solution	NOUN
ejpam-6581	60	26	of	of	ADP
ejpam-6581	60	27	the	the	DET
ejpam-6581	60	28	system	system	NOUN
ejpam-6581	60	29	(	(	PUNCT
ejpam-6581	60	30	13	13	NUM
ejpam-6581	60	31	)	)	PUNCT
ejpam-6581	60	32	near	near	ADP
ejpam-6581	60	33	the	the	DET
ejpam-6581	60	34	singularity	singularity	NOUN
ejpam-6581	60	35	.	.	PUNCT
ejpam-6581	61	1	the	the	DET
ejpam-6581	61	2	first	first	ADJ
ejpam-6581	61	3	possible	possible	ADJ
ejpam-6581	61	4	asymptotic	asymptotic	ADJ
ejpam-6581	61	5	decomposition	decomposition	NOUN
ejpam-6581	61	6	is	be	AUX
ejpam-6581	61	7	f(x	f(x	PROPN
ejpam-6581	61	8	)	)	PUNCT
ejpam-6581	62	1	=	=	SYM
ejpam-6581	62	2	f	f	PROPN
ejpam-6581	62	3	(	(	PUNCT
ejpam-6581	62	4	0	0	NUM
ejpam-6581	62	5	)	)	PUNCT
ejpam-6581	62	6	1	1	NUM
ejpam-6581	62	7	(	(	PUNCT
ejpam-6581	62	8	x	x	NOUN
ejpam-6581	62	9	)	)	PUNCT
ejpam-6581	63	1	+	+	NUM
ejpam-6581	63	2	f	f	X
ejpam-6581	63	3	(	(	PUNCT
ejpam-6581	63	4	sub	sub	NOUN
ejpam-6581	63	5	)	)	PUNCT
ejpam-6581	63	6	1	1	NUM
ejpam-6581	63	7	(	(	PUNCT
ejpam-6581	63	8	x	x	NOUN
ejpam-6581	63	9	)	)	PUNCT
ejpam-6581	63	10	,	,	PUNCT
ejpam-6581	63	11	(	(	PUNCT
ejpam-6581	63	12	17	17	NUM
ejpam-6581	63	13	)	)	PUNCT
ejpam-6581	63	14	with	with	ADP
ejpam-6581	63	15	dominant	dominant	ADJ
ejpam-6581	63	16	part	part	NOUN
ejpam-6581	63	17	,	,	PUNCT
ejpam-6581	63	18	f	f	PROPN
ejpam-6581	63	19	(	(	PUNCT
ejpam-6581	63	20	0	0	NUM
ejpam-6581	63	21	)	)	PUNCT
ejpam-6581	63	22	1	1	NUM
ejpam-6581	63	23	(	(	PUNCT
ejpam-6581	63	24	x	x	NOUN
ejpam-6581	63	25	)	)	PUNCT
ejpam-6581	63	26	=	=	SYM
ejpam-6581	63	27	(	(	PUNCT
ejpam-6581	63	28	−h2,−(3γ	−h2,−(3γ	NUM
ejpam-6581	63	29	−	−	PROPN
ejpam-6581	63	30	2n)ρh	2n)ρh	NUM
ejpam-6581	63	31	)	)	PUNCT
ejpam-6581	63	32	,	,	PUNCT
ejpam-6581	63	33	(	(	PUNCT
ejpam-6581	63	34	18	18	NUM
ejpam-6581	63	35	)	)	PUNCT
ejpam-6581	63	36	and	and	CCONJ
ejpam-6581	63	37	subdominant	subdominant	ADJ
ejpam-6581	63	38	part	part	NOUN
ejpam-6581	63	39	,	,	PUNCT
ejpam-6581	63	40	f	f	PROPN
ejpam-6581	63	41	(	(	PUNCT
ejpam-6581	63	42	sub	sub	NOUN
ejpam-6581	63	43	)	)	PUNCT
ejpam-6581	63	44	1	1	NUM
ejpam-6581	63	45	(	(	PUNCT
ejpam-6581	63	46	x	x	NOUN
ejpam-6581	63	47	)	)	PUNCT
ejpam-6581	63	48	=	=	SYM
ejpam-6581	63	49	(	(	PUNCT
ejpam-6581	63	50	−	−	NUM
ejpam-6581	63	51	3γ	3γ	NUM
ejpam-6581	63	52	−	−	NOUN
ejpam-6581	63	53	2	2	NUM
ejpam-6581	63	54	6	6	NUM
ejpam-6581	63	55	ρ,−6nh3	ρ,−6nh3	NOUN
ejpam-6581	63	56	)	)	PUNCT
ejpam-6581	63	57	,	,	PUNCT
ejpam-6581	63	58	(	(	PUNCT
ejpam-6581	63	59	19	19	NUM
ejpam-6581	63	60	)	)	PUNCT
ejpam-6581	63	61	substituting	substitute	VERB
ejpam-6581	63	62	h	h	NOUN
ejpam-6581	63	63	=	=	SYM
ejpam-6581	63	64	αtp	αtp	PROPN
ejpam-6581	63	65	and	and	CCONJ
ejpam-6581	63	66	ρ	ρ	NUM
ejpam-6581	63	67	=	=	SYM
ejpam-6581	63	68	βtq	βtq	PROPN
ejpam-6581	63	69	(	(	PUNCT
ejpam-6581	63	70	20	20	NUM
ejpam-6581	63	71	)	)	PUNCT
ejpam-6581	63	72	into	into	ADP
ejpam-6581	63	73	the	the	DET
ejpam-6581	63	74	dominant	dominant	ADJ
ejpam-6581	63	75	system	system	NOUN
ejpam-6581	63	76	ẋ	ẋ	PUNCT
ejpam-6581	64	1	=	=	SYM
ejpam-6581	64	2	f	f	PROPN
ejpam-6581	64	3	(	(	PUNCT
ejpam-6581	64	4	0	0	NUM
ejpam-6581	64	5	)	)	PUNCT
ejpam-6581	64	6	1	1	NUM
ejpam-6581	64	7	(	(	PUNCT
ejpam-6581	64	8	x	x	X
ejpam-6581	64	9	)	)	PUNCT
ejpam-6581	64	10	we	we	PRON
ejpam-6581	64	11	evaluate	evaluate	VERB
ejpam-6581	64	12	the	the	DET
ejpam-6581	64	13	dominant	dominant	ADJ
ejpam-6581	64	14	balance	balance	NOUN
ejpam-6581	64	15	(	(	PUNCT
ejpam-6581	64	16	a	a	DET
ejpam-6581	64	17	,	,	PUNCT
ejpam-6581	64	18	p	p	NOUN
ejpam-6581	64	19	)	)	PUNCT
ejpam-6581	64	20	.	.	PUNCT
ejpam-6581	65	1	in	in	ADP
ejpam-6581	65	2	particular	particular	ADJ
ejpam-6581	65	3	,	,	PUNCT
ejpam-6581	65	4	we	we	PRON
ejpam-6581	65	5	find	find	VERB
ejpam-6581	65	6	that	that	SCONJ
ejpam-6581	65	7	,	,	PUNCT
ejpam-6581	65	8	(	(	PUNCT
ejpam-6581	65	9	a	a	DET
ejpam-6581	65	10	,	,	PUNCT
ejpam-6581	65	11	p	p	NOUN
ejpam-6581	65	12	)	)	PUNCT
ejpam-6581	65	13	=	=	SYM
ejpam-6581	65	14	(	(	PUNCT
ejpam-6581	65	15	(	(	PUNCT
ejpam-6581	65	16	1	1	NUM
ejpam-6581	65	17	,	,	PUNCT
ejpam-6581	65	18	0	0	NUM
ejpam-6581	65	19	)	)	PUNCT
ejpam-6581	65	20	,	,	PUNCT
ejpam-6581	65	21	(	(	PUNCT
ejpam-6581	65	22	−1	−1	NOUN
ejpam-6581	65	23	,	,	PUNCT
ejpam-6581	65	24	q	q	NOUN
ejpam-6581	65	25	)	)	PUNCT
ejpam-6581	65	26	)	)	PUNCT
ejpam-6581	65	27	,	,	PUNCT
ejpam-6581	65	28	q	q	PROPN
ejpam-6581	65	29	≤	≤	NUM
ejpam-6581	65	30	−1	−1	NOUN
ejpam-6581	65	31	.	.	PUNCT
ejpam-6581	66	1	(	(	PUNCT
ejpam-6581	66	2	21	21	NUM
ejpam-6581	66	3	)	)	PUNCT
ejpam-6581	66	4	further	far	ADV
ejpam-6581	66	5	,	,	PUNCT
ejpam-6581	66	6	we	we	PRON
ejpam-6581	66	7	need	need	VERB
ejpam-6581	66	8	to	to	PART
ejpam-6581	66	9	determine	determine	VERB
ejpam-6581	66	10	whether	whether	SCONJ
ejpam-6581	66	11	the	the	DET
ejpam-6581	66	12	term	term	NOUN
ejpam-6581	66	13	(	(	PUNCT
ejpam-6581	66	14	19	19	NUM
ejpam-6581	66	15	)	)	PUNCT
ejpam-6581	66	16	is	be	AUX
ejpam-6581	66	17	indeed	indeed	ADV
ejpam-6581	66	18	subdominant	subdominant	ADJ
ejpam-6581	66	19	by	by	ADP
ejpam-6581	66	20	evaluating	evaluate	VERB
ejpam-6581	66	21	the	the	DET
ejpam-6581	66	22	limit	limit	NOUN
ejpam-6581	66	23	of	of	ADP
ejpam-6581	66	24	this	this	DET
ejpam-6581	66	25	term	term	NOUN
ejpam-6581	66	26	divided	divide	VERB
ejpam-6581	66	27	by	by	ADP
ejpam-6581	66	28	tp−1	tp−1	PROPN
ejpam-6581	67	1	when	when	SCONJ
ejpam-6581	67	2	t	t	PROPN
ejpam-6581	67	3	→	→	SYM
ejpam-6581	67	4	0	0	X
ejpam-6581	67	5	.	.	PUNCT
ejpam-6581	67	6	for	for	ADP
ejpam-6581	67	7	values	value	NOUN
ejpam-6581	67	8	of	of	ADP
ejpam-6581	67	9	q	q	PROPN
ejpam-6581	67	10	≤	≤	NUM
ejpam-6581	67	11	2	2	NUM
ejpam-6581	67	12	,	,	PUNCT
ejpam-6581	67	13	we	we	PRON
ejpam-6581	67	14	find	find	VERB
ejpam-6581	67	15	,	,	PUNCT
ejpam-6581	67	16	f	f	PROPN
ejpam-6581	67	17	(	(	PUNCT
ejpam-6581	67	18	sub	sub	NOUN
ejpam-6581	67	19	)	)	PUNCT
ejpam-6581	67	20	1	1	NUM
ejpam-6581	67	21	(	(	PUNCT
ejpam-6581	67	22	x	x	NOUN
ejpam-6581	67	23	)	)	PUNCT
ejpam-6581	67	24	tp−1	tp−1	PROPN
ejpam-6581	67	25	→	→	SYM
ejpam-6581	67	26	(	(	PUNCT
ejpam-6581	67	27	0	0	NUM
ejpam-6581	67	28	,	,	PUNCT
ejpam-6581	67	29	0	0	NUM
ejpam-6581	67	30	)	)	PUNCT
ejpam-6581	67	31	,	,	PUNCT
ejpam-6581	67	32	when	when	SCONJ
ejpam-6581	67	33	t	t	PROPN
ejpam-6581	67	34	→	→	SYM
ejpam-6581	67	35	0	0	NUM
ejpam-6581	67	36	,	,	PUNCT
ejpam-6581	67	37	(	(	PUNCT
ejpam-6581	67	38	22	22	NUM
ejpam-6581	67	39	)	)	PUNCT
ejpam-6581	67	40	and	and	CCONJ
ejpam-6581	67	41	therefore	therefore	ADV
ejpam-6581	67	42	the	the	DET
ejpam-6581	67	43	decomposition	decomposition	NOUN
ejpam-6581	67	44	(	(	PUNCT
ejpam-6581	67	45	17	17	NUM
ejpam-6581	67	46	)	)	PUNCT
ejpam-6581	67	47	is	be	AUX
ejpam-6581	67	48	acceptable	acceptable	ADJ
ejpam-6581	67	49	asymptotically	asymptotically	ADV
ejpam-6581	67	50	.	.	PUNCT
ejpam-6581	68	1	next	next	ADV
ejpam-6581	68	2	,	,	PUNCT
ejpam-6581	68	3	we	we	PRON
ejpam-6581	68	4	evaluate	evaluate	VERB
ejpam-6581	68	5	the	the	DET
ejpam-6581	68	6	kovalevskaya	kovalevskaya	NOUN
ejpam-6581	68	7	matrix	matrix	NOUN
ejpam-6581	68	8	,	,	PUNCT
ejpam-6581	68	9	given	give	VERB
ejpam-6581	68	10	by	by	ADP
ejpam-6581	68	11	,	,	PUNCT
ejpam-6581	68	12	k	k	PROPN
ejpam-6581	68	13	=	=	PUNCT
ejpam-6581	68	14	df	df	PROPN
ejpam-6581	68	15	(	(	PUNCT
ejpam-6581	68	16	0	0	NUM
ejpam-6581	68	17	)	)	PUNCT
ejpam-6581	68	18	1	1	NUM
ejpam-6581	68	19	(	(	PUNCT
ejpam-6581	68	20	a)−	a)−	PROPN
ejpam-6581	68	21	diag(p	diag(p	NOUN
ejpam-6581	68	22	)	)	PUNCT
ejpam-6581	68	23	,	,	PUNCT
ejpam-6581	68	24	(	(	PUNCT
ejpam-6581	68	25	23	23	NUM
ejpam-6581	68	26	)	)	PUNCT
ejpam-6581	68	27	and	and	CCONJ
ejpam-6581	68	28	we	we	PRON
ejpam-6581	68	29	find	find	VERB
ejpam-6581	68	30	that	that	SCONJ
ejpam-6581	68	31	there	there	PRON
ejpam-6581	68	32	is	be	VERB
ejpam-6581	68	33	always	always	ADV
ejpam-6581	68	34	one	one	NUM
ejpam-6581	68	35	eigenvalue	eigenvalue	NOUN
ejpam-6581	68	36	λ	λ	NOUN
ejpam-6581	68	37	=	=	NOUN
ejpam-6581	68	38	−1	−1	NOUN
ejpam-6581	68	39	that	that	PRON
ejpam-6581	68	40	corresponds	correspond	VERB
ejpam-6581	68	41	to	to	ADP
ejpam-6581	68	42	an	an	DET
ejpam-6581	68	43	arbitrary	arbitrary	ADJ
ejpam-6581	68	44	constant	constant	NOUN
ejpam-6581	68	45	of	of	ADP
ejpam-6581	68	46	the	the	DET
ejpam-6581	68	47	dominant	dominant	ADJ
ejpam-6581	68	48	behaviour	behaviour	NOUN
ejpam-6581	68	49	of	of	ADP
ejpam-6581	68	50	the	the	DET
ejpam-6581	68	51	solution	solution	NOUN
ejpam-6581	68	52	given	give	VERB
ejpam-6581	68	53	by	by	ADP
ejpam-6581	68	54	the	the	DET
ejpam-6581	68	55	fuchsian	fuchsian	ADJ
ejpam-6581	68	56	series	series	NOUN
ejpam-6581	68	57	expansions	expansion	NOUN
ejpam-6581	68	58	,	,	PUNCT
ejpam-6581	69	1	h	h	NOUN
ejpam-6581	69	2	=	=	SYM
ejpam-6581	70	1	∞∑	∞∑	NUM
ejpam-6581	70	2	j=0	j=0	PROPN
ejpam-6581	70	3	cj1	cj1	PROPN
ejpam-6581	70	4	t	t	PROPN
ejpam-6581	70	5	p−j	p−j	ADV
ejpam-6581	70	6	,	,	PUNCT
ejpam-6581	70	7	ρ	ρ	PROPN
ejpam-6581	70	8	=	=	SYM
ejpam-6581	71	1	∞∑	∞∑	NUM
ejpam-6581	71	2	j=0	j=0	PROPN
ejpam-6581	71	3	cj2	cj2	PROPN
ejpam-6581	71	4	t	t	PROPN
ejpam-6581	71	5	q−j	q−j	NUM
ejpam-6581	71	6	,	,	PUNCT
ejpam-6581	71	7	(	(	PUNCT
ejpam-6581	71	8	24	24	NUM
ejpam-6581	71	9	)	)	PUNCT
ejpam-6581	71	10	d.	d.	NOUN
ejpam-6581	71	11	trachilis	trachilis	PROPN
ejpam-6581	71	12	/	/	SYM
ejpam-6581	71	13	eur	eur	PROPN
ejpam-6581	71	14	.	.	PUNCT
ejpam-6581	72	1	j.	j.	PROPN
ejpam-6581	72	2	pure	pure	PROPN
ejpam-6581	72	3	appl	appl	PROPN
ejpam-6581	72	4	.	.	PROPN
ejpam-6581	72	5	math	math	PROPN
ejpam-6581	72	6	,	,	PUNCT
ejpam-6581	72	7	18	18	NUM
ejpam-6581	72	8	(	(	PUNCT
ejpam-6581	72	9	3	3	NUM
ejpam-6581	72	10	)	)	PUNCT
ejpam-6581	72	11	(	(	PUNCT
ejpam-6581	72	12	2025	2025	NUM
ejpam-6581	72	13	)	)	PUNCT
ejpam-6581	72	14	,	,	PUNCT
ejpam-6581	72	15	6581	6581	NUM
ejpam-6581	72	16	5	5	NUM
ejpam-6581	72	17	of	of	ADP
ejpam-6581	72	18	12	12	NUM
ejpam-6581	72	19	where	where	SCONJ
ejpam-6581	72	20	c01	c01	NOUN
ejpam-6581	72	21	=	=	PROPN
ejpam-6581	72	22	α	α	NOUN
ejpam-6581	72	23	=	=	SYM
ejpam-6581	72	24	1	1	NUM
ejpam-6581	72	25	and	and	CCONJ
ejpam-6581	72	26	c02	c02	NOUN
ejpam-6581	72	27	=	=	SYM
ejpam-6581	72	28	β	β	X
ejpam-6581	72	29	=	=	SYM
ejpam-6581	72	30	0	0	X
ejpam-6581	72	31	.	.	PUNCT
ejpam-6581	73	1	substituting	substitute	VERB
ejpam-6581	73	2	the	the	DET
ejpam-6581	73	3	series	series	NOUN
ejpam-6581	73	4	(	(	PUNCT
ejpam-6581	73	5	24	24	NUM
ejpam-6581	73	6	)	)	PUNCT
ejpam-6581	73	7	into	into	ADP
ejpam-6581	73	8	the	the	DET
ejpam-6581	73	9	original	original	ADJ
ejpam-6581	73	10	system	system	NOUN
ejpam-6581	73	11	(	(	PUNCT
ejpam-6581	73	12	13	13	NUM
ejpam-6581	73	13	)	)	PUNCT
ejpam-6581	73	14	,	,	PUNCT
ejpam-6581	73	15	we	we	PRON
ejpam-6581	73	16	find	find	VERB
ejpam-6581	73	17	that	that	SCONJ
ejpam-6581	73	18	there	there	PRON
ejpam-6581	73	19	is	be	VERB
ejpam-6581	73	20	no	no	DET
ejpam-6581	73	21	solution	solution	NOUN
ejpam-6581	73	22	for	for	ADP
ejpam-6581	73	23	h	h	NOUN
ejpam-6581	73	24	and	and	CCONJ
ejpam-6581	73	25	ρ	ρ	NOUN
ejpam-6581	73	26	unless	unless	SCONJ
ejpam-6581	73	27	n	n	PROPN
ejpam-6581	73	28	=	=	SYM
ejpam-6581	73	29	0	0	PROPN
ejpam-6581	73	30	.	.	PUNCT
ejpam-6581	74	1	this	this	PRON
ejpam-6581	74	2	is	be	AUX
ejpam-6581	74	3	because	because	SCONJ
ejpam-6581	74	4	of	of	ADP
ejpam-6581	74	5	our	our	PRON
ejpam-6581	74	6	final	final	ADJ
ejpam-6581	74	7	test	test	NOUN
ejpam-6581	74	8	for	for	ADP
ejpam-6581	74	9	admission	admission	NOUN
ejpam-6581	74	10	of	of	ADP
ejpam-6581	74	11	the	the	DET
ejpam-6581	74	12	solutions	solution	NOUN
ejpam-6581	74	13	,	,	PUNCT
ejpam-6581	74	14	namely	namely	ADV
ejpam-6581	74	15	that	that	SCONJ
ejpam-6581	74	16	,	,	PUNCT
ejpam-6581	74	17	the	the	DET
ejpam-6581	74	18	fredholm	fredholm	NOUN
ejpam-6581	74	19	’s	’s	PART
ejpam-6581	74	20	alternative	alternative	NOUN
ejpam-6581	74	21	,	,	PUNCT
ejpam-6581	74	22	vt	vt	PROPN
ejpam-6581	74	23	(	(	PUNCT
ejpam-6581	74	24	k	k	PROPN
ejpam-6581	74	25	−	−	PROPN
ejpam-6581	74	26	ji)cj	ji)cj	ADP
ejpam-6581	74	27	=	=	SYM
ejpam-6581	74	28	0	0	PROPN
ejpam-6581	74	29	,	,	PUNCT
ejpam-6581	74	30	(	(	PUNCT
ejpam-6581	74	31	25	25	NUM
ejpam-6581	74	32	)	)	PUNCT
ejpam-6581	74	33	where	where	SCONJ
ejpam-6581	74	34	v	v	NOUN
ejpam-6581	74	35	denote	denote	VERB
ejpam-6581	74	36	the	the	DET
ejpam-6581	74	37	eigenvectors	eigenvector	NOUN
ejpam-6581	74	38	of	of	ADP
ejpam-6581	74	39	k	k	PROPN
ejpam-6581	75	1	and	and	CCONJ
ejpam-6581	75	2	i	i	PRON
ejpam-6581	75	3	is	be	AUX
ejpam-6581	75	4	the	the	DET
ejpam-6581	75	5	identity	identity	NOUN
ejpam-6581	75	6	matrix	matrix	NOUN
ejpam-6581	75	7	.	.	PUNCT
ejpam-6581	76	1	in	in	ADP
ejpam-6581	76	2	particular	particular	ADJ
ejpam-6581	76	3	,	,	PUNCT
ejpam-6581	76	4	in	in	ADP
ejpam-6581	76	5	our	our	PRON
ejpam-6581	76	6	first	first	ADJ
ejpam-6581	76	7	decomposition	decomposition	NOUN
ejpam-6581	76	8	,	,	PUNCT
ejpam-6581	76	9	the	the	DET
ejpam-6581	76	10	expression	expression	NOUN
ejpam-6581	76	11	(	(	PUNCT
ejpam-6581	76	12	25	25	NUM
ejpam-6581	76	13	)	)	PUNCT
ejpam-6581	76	14	is	be	AUX
ejpam-6581	76	15	true	true	ADJ
ejpam-6581	76	16	only	only	ADV
ejpam-6581	76	17	for	for	ADP
ejpam-6581	76	18	n	n	NOUN
ejpam-6581	76	19	=	=	SYM
ejpam-6581	76	20	0	0	NUM
ejpam-6581	76	21	.	.	PUNCT
ejpam-6581	77	1	therefore	therefore	ADV
ejpam-6581	77	2	,	,	PUNCT
ejpam-6581	77	3	the	the	DET
ejpam-6581	77	4	first	first	ADJ
ejpam-6581	77	5	decomposition	decomposition	NOUN
ejpam-6581	77	6	does	do	AUX
ejpam-6581	77	7	not	not	PART
ejpam-6581	77	8	give	give	VERB
ejpam-6581	77	9	any	any	DET
ejpam-6581	77	10	valid	valid	ADJ
ejpam-6581	77	11	asymptotic	asymptotic	ADJ
ejpam-6581	77	12	solution	solution	NOUN
ejpam-6581	77	13	of	of	ADP
ejpam-6581	77	14	the	the	DET
ejpam-6581	77	15	initial	initial	ADJ
ejpam-6581	77	16	system	system	NOUN
ejpam-6581	77	17	around	around	ADP
ejpam-6581	77	18	the	the	DET
ejpam-6581	77	19	singularity	singularity	NOUN
ejpam-6581	77	20	.	.	PUNCT
ejpam-6581	78	1	the	the	DET
ejpam-6581	78	2	second	second	ADJ
ejpam-6581	78	3	asymptotic	asymptotic	ADJ
ejpam-6581	78	4	decomposition	decomposition	NOUN
ejpam-6581	78	5	is	be	AUX
ejpam-6581	78	6	f(x	f(x	PROPN
ejpam-6581	78	7	)	)	PUNCT
ejpam-6581	79	1	=	=	SYM
ejpam-6581	79	2	f	f	PROPN
ejpam-6581	79	3	(	(	PUNCT
ejpam-6581	79	4	0	0	NUM
ejpam-6581	79	5	)	)	SYM
ejpam-6581	79	6	2	2	NUM
ejpam-6581	79	7	(	(	PUNCT
ejpam-6581	79	8	x	x	NOUN
ejpam-6581	79	9	)	)	PUNCT
ejpam-6581	80	1	+	+	NUM
ejpam-6581	80	2	f	f	X
ejpam-6581	80	3	(	(	PUNCT
ejpam-6581	80	4	sub	sub	NOUN
ejpam-6581	80	5	)	)	PUNCT
ejpam-6581	80	6	2	2	NUM
ejpam-6581	80	7	(	(	PUNCT
ejpam-6581	80	8	x	x	NOUN
ejpam-6581	80	9	)	)	PUNCT
ejpam-6581	80	10	,	,	PUNCT
ejpam-6581	80	11	(	(	PUNCT
ejpam-6581	80	12	26	26	NUM
ejpam-6581	80	13	)	)	PUNCT
ejpam-6581	80	14	with	with	ADP
ejpam-6581	80	15	dominant	dominant	ADJ
ejpam-6581	80	16	part	part	NOUN
ejpam-6581	80	17	,	,	PUNCT
ejpam-6581	80	18	f	f	PROPN
ejpam-6581	80	19	(	(	PUNCT
ejpam-6581	80	20	0	0	NUM
ejpam-6581	80	21	)	)	SYM
ejpam-6581	80	22	2	2	NUM
ejpam-6581	80	23	(	(	PUNCT
ejpam-6581	80	24	x	x	NOUN
ejpam-6581	80	25	)	)	PUNCT
ejpam-6581	80	26	=	=	SYM
ejpam-6581	80	27	(	(	PUNCT
ejpam-6581	80	28	−h2,−6nh3	−h2,−6nh3	NOUN
ejpam-6581	80	29	)	)	PUNCT
ejpam-6581	80	30	,	,	PUNCT
ejpam-6581	80	31	(	(	PUNCT
ejpam-6581	80	32	27	27	NUM
ejpam-6581	80	33	)	)	PUNCT
ejpam-6581	80	34	and	and	CCONJ
ejpam-6581	80	35	subdominant	subdominant	ADJ
ejpam-6581	80	36	part	part	NOUN
ejpam-6581	80	37	,	,	PUNCT
ejpam-6581	80	38	f	f	PROPN
ejpam-6581	80	39	(	(	PUNCT
ejpam-6581	80	40	sub	sub	NOUN
ejpam-6581	80	41	)	)	PUNCT
ejpam-6581	80	42	2	2	NUM
ejpam-6581	80	43	(	(	PUNCT
ejpam-6581	80	44	x	x	NOUN
ejpam-6581	80	45	)	)	PUNCT
ejpam-6581	80	46	=	=	SYM
ejpam-6581	80	47	(	(	PUNCT
ejpam-6581	80	48	−	−	NUM
ejpam-6581	80	49	3γ	3γ	NUM
ejpam-6581	80	50	−	−	PROPN
ejpam-6581	80	51	2	2	NUM
ejpam-6581	80	52	6	6	NUM
ejpam-6581	80	53	ρ,−(3γ	ρ,−(3γ	ADV
ejpam-6581	80	54	−	−	PROPN
ejpam-6581	80	55	2n)ρh	2n)ρh	NUM
ejpam-6581	80	56	)	)	PUNCT
ejpam-6581	80	57	,	,	PUNCT
ejpam-6581	80	58	(	(	PUNCT
ejpam-6581	80	59	28	28	X
ejpam-6581	80	60	)	)	PUNCT
ejpam-6581	80	61	substituting	substitute	VERB
ejpam-6581	80	62	h	h	NOUN
ejpam-6581	80	63	=	=	SYM
ejpam-6581	80	64	αtp	αtp	PROPN
ejpam-6581	80	65	and	and	CCONJ
ejpam-6581	80	66	ρ	ρ	NUM
ejpam-6581	80	67	=	=	PROPN
ejpam-6581	80	68	βtq	βtq	PROPN
ejpam-6581	80	69	into	into	ADP
ejpam-6581	80	70	the	the	DET
ejpam-6581	80	71	second	second	ADJ
ejpam-6581	80	72	dominant	dominant	ADJ
ejpam-6581	80	73	system	system	NOUN
ejpam-6581	80	74	,	,	PUNCT
ejpam-6581	80	75	we	we	PRON
ejpam-6581	80	76	find	find	VERB
ejpam-6581	80	77	the	the	DET
ejpam-6581	80	78	dominant	dominant	ADJ
ejpam-6581	80	79	balance	balance	NOUN
ejpam-6581	80	80	,	,	PUNCT
ejpam-6581	80	81	(	(	PUNCT
ejpam-6581	80	82	a	a	DET
ejpam-6581	80	83	,	,	PUNCT
ejpam-6581	80	84	p	p	NOUN
ejpam-6581	80	85	)	)	PUNCT
ejpam-6581	80	86	=	=	SYM
ejpam-6581	80	87	(	(	PUNCT
ejpam-6581	80	88	(	(	PUNCT
ejpam-6581	80	89	1	1	NUM
ejpam-6581	80	90	,	,	PUNCT
ejpam-6581	80	91	3n	3n	NUM
ejpam-6581	80	92	)	)	PUNCT
ejpam-6581	80	93	,	,	PUNCT
ejpam-6581	80	94	(	(	PUNCT
ejpam-6581	80	95	−1,−2	−1,−2	VERB
ejpam-6581	80	96	)	)	PUNCT
ejpam-6581	80	97	)	)	PUNCT
ejpam-6581	80	98	.	.	PUNCT
ejpam-6581	81	1	(	(	PUNCT
ejpam-6581	81	2	29	29	NUM
ejpam-6581	81	3	)	)	PUNCT
ejpam-6581	81	4	the	the	DET
ejpam-6581	81	5	corresponding	corresponding	ADJ
ejpam-6581	81	6	subdominant	subdominant	ADJ
ejpam-6581	81	7	term	term	NOUN
ejpam-6581	81	8	(	(	PUNCT
ejpam-6581	81	9	28	28	NUM
ejpam-6581	81	10	)	)	PUNCT
ejpam-6581	81	11	satisfies	satisfie	NOUN
ejpam-6581	81	12	f	f	PROPN
ejpam-6581	81	13	(	(	PUNCT
ejpam-6581	81	14	sub	sub	NOUN
ejpam-6581	81	15	)	)	PUNCT
ejpam-6581	81	16	2	2	NUM
ejpam-6581	81	17	(	(	PUNCT
ejpam-6581	81	18	x	x	NOUN
ejpam-6581	81	19	)	)	PUNCT
ejpam-6581	81	20	tp−1	tp−1	PROPN
ejpam-6581	81	21	=	=	SYM
ejpam-6581	81	22	(	(	PUNCT
ejpam-6581	81	23	2−	2−	NUM
ejpam-6581	81	24	3γ	3γ	NUM
ejpam-6581	81	25	2	2	NUM
ejpam-6581	81	26	n	n	CCONJ
ejpam-6581	81	27	,	,	PUNCT
ejpam-6581	81	28	3n(2n−	3n(2n−	NUM
ejpam-6581	81	29	3γ	3γ	NUM
ejpam-6581	81	30	)	)	PUNCT
ejpam-6581	81	31	)	)	PUNCT
ejpam-6581	81	32	,	,	PUNCT
ejpam-6581	81	33	(	(	PUNCT
ejpam-6581	81	34	30	30	NUM
ejpam-6581	81	35	)	)	PUNCT
ejpam-6581	81	36	and	and	CCONJ
ejpam-6581	81	37	therefore	therefore	ADV
ejpam-6581	81	38	approaches	approach	NOUN
ejpam-6581	81	39	(	(	PUNCT
ejpam-6581	81	40	0	0	NUM
ejpam-6581	81	41	,	,	PUNCT
ejpam-6581	81	42	0	0	NUM
ejpam-6581	81	43	)	)	PUNCT
ejpam-6581	82	1	if	if	SCONJ
ejpam-6581	82	2	and	and	CCONJ
ejpam-6581	82	3	only	only	ADV
ejpam-6581	82	4	if	if	SCONJ
ejpam-6581	82	5	(	(	PUNCT
ejpam-6581	82	6	γ	γ	X
ejpam-6581	82	7	=	=	SYM
ejpam-6581	82	8	2	2	NUM
ejpam-6581	82	9	3	3	NUM
ejpam-6581	82	10	,	,	PUNCT
ejpam-6581	82	11	n	n	NOUN
ejpam-6581	82	12	=	=	SYM
ejpam-6581	82	13	1	1	NUM
ejpam-6581	82	14	)	)	PUNCT
ejpam-6581	82	15	or	or	CCONJ
ejpam-6581	82	16	(	(	PUNCT
ejpam-6581	82	17	γ	γ	X
ejpam-6581	82	18	∈	∈	PROPN
ejpam-6581	82	19	r	r	NOUN
ejpam-6581	82	20	,	,	PUNCT
ejpam-6581	82	21	n	n	NOUN
ejpam-6581	82	22	=	=	NOUN
ejpam-6581	82	23	0	0	NUM
ejpam-6581	82	24	)	)	PUNCT
ejpam-6581	82	25	.	.	PUNCT
ejpam-6581	83	1	in	in	ADP
ejpam-6581	83	2	principle	principle	NOUN
ejpam-6581	83	3	,	,	PUNCT
ejpam-6581	83	4	we	we	PRON
ejpam-6581	83	5	can	can	AUX
ejpam-6581	83	6	accept	accept	VERB
ejpam-6581	83	7	only	only	ADV
ejpam-6581	83	8	the	the	DET
ejpam-6581	83	9	first	first	ADJ
ejpam-6581	83	10	pair	pair	NOUN
ejpam-6581	83	11	.	.	PUNCT
ejpam-6581	84	1	however	however	ADV
ejpam-6581	84	2	,	,	PUNCT
ejpam-6581	84	3	the	the	DET
ejpam-6581	84	4	expression	expression	NOUN
ejpam-6581	84	5	(	(	PUNCT
ejpam-6581	84	6	25	25	NUM
ejpam-6581	84	7	)	)	PUNCT
ejpam-6581	84	8	does	do	AUX
ejpam-6581	84	9	not	not	PART
ejpam-6581	84	10	give	give	VERB
ejpam-6581	84	11	any	any	DET
ejpam-6581	84	12	acceptable	acceptable	ADJ
ejpam-6581	84	13	solution	solution	NOUN
ejpam-6581	84	14	for	for	ADP
ejpam-6581	84	15	the	the	DET
ejpam-6581	84	16	combination	combination	NOUN
ejpam-6581	84	17	γ	γ	X
ejpam-6581	84	18	=	=	SYM
ejpam-6581	84	19	2	2	NUM
ejpam-6581	84	20	3	3	NUM
ejpam-6581	84	21	and	and	CCONJ
ejpam-6581	84	22	n	n	NOUN
ejpam-6581	84	23	=	=	SYM
ejpam-6581	84	24	1	1	NUM
ejpam-6581	84	25	.	.	PUNCT
ejpam-6581	85	1	thus	thus	ADV
ejpam-6581	85	2	the	the	DET
ejpam-6581	85	3	second	second	ADJ
ejpam-6581	85	4	decomposition	decomposition	NOUN
ejpam-6581	85	5	does	do	AUX
ejpam-6581	85	6	not	not	PART
ejpam-6581	85	7	lead	lead	VERB
ejpam-6581	85	8	to	to	ADP
ejpam-6581	85	9	a	a	DET
ejpam-6581	85	10	fully	fully	ADV
ejpam-6581	85	11	acceptable	acceptable	ADJ
ejpam-6581	85	12	solution	solution	NOUN
ejpam-6581	85	13	as	as	ADV
ejpam-6581	85	14	well	well	ADV
ejpam-6581	85	15	.	.	PUNCT
ejpam-6581	86	1	the	the	DET
ejpam-6581	86	2	third	third	ADJ
ejpam-6581	86	3	possible	possible	ADJ
ejpam-6581	86	4	asymptotic	asymptotic	ADJ
ejpam-6581	86	5	decomposition	decomposition	NOUN
ejpam-6581	86	6	is	be	AUX
ejpam-6581	86	7	f(x	f(x	PROPN
ejpam-6581	86	8	)	)	PUNCT
ejpam-6581	87	1	=	=	SYM
ejpam-6581	87	2	f	f	PROPN
ejpam-6581	87	3	(	(	PUNCT
ejpam-6581	87	4	0	0	NUM
ejpam-6581	87	5	)	)	PUNCT
ejpam-6581	87	6	3	3	NUM
ejpam-6581	87	7	(	(	PUNCT
ejpam-6581	87	8	x	x	X
ejpam-6581	87	9	)	)	PUNCT
ejpam-6581	88	1	+	+	NUM
ejpam-6581	88	2	f	f	X
ejpam-6581	88	3	(	(	PUNCT
ejpam-6581	88	4	sub	sub	NOUN
ejpam-6581	88	5	)	)	PUNCT
ejpam-6581	88	6	3	3	NUM
ejpam-6581	88	7	(	(	PUNCT
ejpam-6581	88	8	x	x	NOUN
ejpam-6581	88	9	)	)	PUNCT
ejpam-6581	88	10	.	.	PUNCT
ejpam-6581	89	1	(	(	PUNCT
ejpam-6581	89	2	31	31	NUM
ejpam-6581	89	3	)	)	PUNCT
ejpam-6581	89	4	the	the	DET
ejpam-6581	89	5	dominant	dominant	ADJ
ejpam-6581	89	6	part	part	NOUN
ejpam-6581	89	7	is	be	AUX
ejpam-6581	89	8	,	,	PUNCT
ejpam-6581	89	9	f	f	PROPN
ejpam-6581	89	10	(	(	PUNCT
ejpam-6581	89	11	0	0	NUM
ejpam-6581	89	12	)	)	PUNCT
ejpam-6581	89	13	3	3	NUM
ejpam-6581	89	14	(	(	PUNCT
ejpam-6581	89	15	x	x	NOUN
ejpam-6581	89	16	)	)	PUNCT
ejpam-6581	89	17	=	=	SYM
ejpam-6581	89	18	(	(	PUNCT
ejpam-6581	89	19	−h2,−(3γ	−h2,−(3γ	NUM
ejpam-6581	89	20	−	−	PROPN
ejpam-6581	89	21	2n)ρh	2n)ρh	NUM
ejpam-6581	90	1	−	−	PROPN
ejpam-6581	90	2	6nh3	6nh3	NUM
ejpam-6581	90	3	)	)	PUNCT
ejpam-6581	90	4	,	,	PUNCT
ejpam-6581	90	5	(	(	PUNCT
ejpam-6581	90	6	32	32	NUM
ejpam-6581	90	7	)	)	PUNCT
ejpam-6581	90	8	and	and	CCONJ
ejpam-6581	90	9	the	the	DET
ejpam-6581	90	10	subdominant	subdominant	ADJ
ejpam-6581	90	11	part	part	NOUN
ejpam-6581	90	12	is	be	AUX
ejpam-6581	90	13	,	,	PUNCT
ejpam-6581	90	14	f	f	PROPN
ejpam-6581	90	15	(	(	PUNCT
ejpam-6581	90	16	sub	sub	NOUN
ejpam-6581	90	17	)	)	PUNCT
ejpam-6581	90	18	3	3	NUM
ejpam-6581	90	19	(	(	PUNCT
ejpam-6581	90	20	x	x	NOUN
ejpam-6581	90	21	)	)	PUNCT
ejpam-6581	90	22	=	=	SYM
ejpam-6581	90	23	(	(	PUNCT
ejpam-6581	90	24	−	−	NUM
ejpam-6581	90	25	3γ	3γ	NUM
ejpam-6581	90	26	−	−	NOUN
ejpam-6581	90	27	2	2	NUM
ejpam-6581	90	28	6	6	NUM
ejpam-6581	90	29	ρ	ρ	NOUN
ejpam-6581	90	30	,	,	PUNCT
ejpam-6581	90	31	0	0	NUM
ejpam-6581	90	32	)	)	PUNCT
ejpam-6581	90	33	.	.	PUNCT
ejpam-6581	91	1	(	(	PUNCT
ejpam-6581	91	2	33	33	NUM
ejpam-6581	91	3	)	)	PUNCT
ejpam-6581	91	4	d.	d.	NOUN
ejpam-6581	91	5	trachilis	trachilis	PROPN
ejpam-6581	91	6	/	/	SYM
ejpam-6581	91	7	eur	eur	PROPN
ejpam-6581	91	8	.	.	PUNCT
ejpam-6581	92	1	j.	j.	PROPN
ejpam-6581	92	2	pure	pure	PROPN
ejpam-6581	92	3	appl	appl	PROPN
ejpam-6581	92	4	.	.	PROPN
ejpam-6581	92	5	math	math	PROPN
ejpam-6581	92	6	,	,	PUNCT
ejpam-6581	92	7	18	18	NUM
ejpam-6581	92	8	(	(	PUNCT
ejpam-6581	92	9	3	3	NUM
ejpam-6581	92	10	)	)	PUNCT
ejpam-6581	92	11	(	(	PUNCT
ejpam-6581	92	12	2025	2025	NUM
ejpam-6581	92	13	)	)	PUNCT
ejpam-6581	92	14	,	,	PUNCT
ejpam-6581	92	15	6581	6581	NUM
ejpam-6581	92	16	6	6	NUM
ejpam-6581	92	17	of	of	ADP
ejpam-6581	92	18	12	12	NUM
ejpam-6581	92	19	substituting	substitute	VERB
ejpam-6581	92	20	(	(	PUNCT
ejpam-6581	92	21	20	20	NUM
ejpam-6581	92	22	)	)	PUNCT
ejpam-6581	92	23	into	into	ADP
ejpam-6581	92	24	the	the	DET
ejpam-6581	92	25	third	third	ADJ
ejpam-6581	92	26	dominant	dominant	ADJ
ejpam-6581	92	27	system	system	NOUN
ejpam-6581	92	28	,	,	PUNCT
ejpam-6581	92	29	we	we	PRON
ejpam-6581	92	30	find	find	VERB
ejpam-6581	92	31	,	,	PUNCT
ejpam-6581	92	32	(	(	PUNCT
ejpam-6581	92	33	a	a	DET
ejpam-6581	92	34	,	,	PUNCT
ejpam-6581	92	35	p	p	NOUN
ejpam-6581	92	36	)	)	PUNCT
ejpam-6581	92	37	=	=	SYM
ejpam-6581	92	38	(	(	PUNCT
ejpam-6581	92	39	(	(	PUNCT
ejpam-6581	92	40	1	1	NUM
ejpam-6581	92	41	,	,	PUNCT
ejpam-6581	92	42	0	0	NUM
ejpam-6581	92	43	)	)	PUNCT
ejpam-6581	92	44	,	,	PUNCT
ejpam-6581	92	45	(	(	PUNCT
ejpam-6581	92	46	−1,−2	−1,−2	VERB
ejpam-6581	92	47	)	)	PUNCT
ejpam-6581	92	48	)	)	PUNCT
ejpam-6581	93	1	and	and	CCONJ
ejpam-6581	93	2	(	(	PUNCT
ejpam-6581	93	3	a	a	DET
ejpam-6581	93	4	,	,	PUNCT
ejpam-6581	93	5	p	p	NOUN
ejpam-6581	93	6	)	)	PUNCT
ejpam-6581	93	7	=	=	SYM
ejpam-6581	93	8	(	(	PUNCT
ejpam-6581	93	9	(	(	PUNCT
ejpam-6581	93	10	1	1	NUM
ejpam-6581	93	11	,	,	PUNCT
ejpam-6581	93	12	3	3	NUM
ejpam-6581	93	13	)	)	PUNCT
ejpam-6581	93	14	,	,	PUNCT
ejpam-6581	93	15	(	(	PUNCT
ejpam-6581	93	16	−1,−2	−1,−2	VERB
ejpam-6581	93	17	)	)	PUNCT
ejpam-6581	93	18	)	)	PUNCT
ejpam-6581	93	19	.	.	PUNCT
ejpam-6581	94	1	(	(	PUNCT
ejpam-6581	94	2	34	34	NUM
ejpam-6581	94	3	)	)	PUNCT
ejpam-6581	94	4	in	in	ADP
ejpam-6581	94	5	case	case	NOUN
ejpam-6581	94	6	that	that	SCONJ
ejpam-6581	94	7	(	(	PUNCT
ejpam-6581	94	8	a	a	DET
ejpam-6581	94	9	,	,	PUNCT
ejpam-6581	94	10	p	p	NOUN
ejpam-6581	94	11	)	)	PUNCT
ejpam-6581	94	12	=	=	SYM
ejpam-6581	94	13	(	(	PUNCT
ejpam-6581	94	14	(	(	PUNCT
ejpam-6581	94	15	1	1	NUM
ejpam-6581	94	16	,	,	PUNCT
ejpam-6581	94	17	0	0	NUM
ejpam-6581	94	18	)	)	PUNCT
ejpam-6581	94	19	,	,	PUNCT
ejpam-6581	94	20	(	(	PUNCT
ejpam-6581	94	21	−1,−2	−1,−2	VERB
ejpam-6581	94	22	)	)	PUNCT
ejpam-6581	94	23	)	)	PUNCT
ejpam-6581	94	24	,	,	PUNCT
ejpam-6581	94	25	we	we	PRON
ejpam-6581	94	26	find	find	VERB
ejpam-6581	94	27	no	no	DET
ejpam-6581	94	28	asymptotic	asymptotic	ADJ
ejpam-6581	94	29	solutions	solution	NOUN
ejpam-6581	94	30	with	with	ADP
ejpam-6581	94	31	n	n	PRON
ejpam-6581	94	32	̸=	̸=	PROPN
ejpam-6581	94	33	0	0	NUM
ejpam-6581	94	34	,	,	PUNCT
ejpam-6581	94	35	but	but	CCONJ
ejpam-6581	94	36	in	in	ADP
ejpam-6581	94	37	case	case	NOUN
ejpam-6581	94	38	that	that	SCONJ
ejpam-6581	94	39	(	(	PUNCT
ejpam-6581	94	40	a	a	DET
ejpam-6581	94	41	,	,	PUNCT
ejpam-6581	94	42	p	p	NOUN
ejpam-6581	94	43	)	)	PUNCT
ejpam-6581	94	44	=	=	SYM
ejpam-6581	94	45	(	(	PUNCT
ejpam-6581	94	46	(	(	PUNCT
ejpam-6581	94	47	1	1	NUM
ejpam-6581	94	48	,	,	PUNCT
ejpam-6581	94	49	3	3	NUM
ejpam-6581	94	50	)	)	PUNCT
ejpam-6581	94	51	,	,	PUNCT
ejpam-6581	94	52	(	(	PUNCT
ejpam-6581	94	53	−1,−2	−1,−2	VERB
ejpam-6581	94	54	)	)	PUNCT
ejpam-6581	94	55	)	)	PUNCT
ejpam-6581	94	56	,	,	PUNCT
ejpam-6581	94	57	we	we	PRON
ejpam-6581	94	58	obtain	obtain	VERB
ejpam-6581	94	59	the	the	DET
ejpam-6581	94	60	special	special	ADJ
ejpam-6581	94	61	solution	solution	NOUN
ejpam-6581	94	62	,	,	PUNCT
ejpam-6581	94	63	h	h	NOUN
ejpam-6581	94	64	=	=	SYM
ejpam-6581	94	65	t−1	t−1	PROPN
ejpam-6581	94	66	,	,	PUNCT
ejpam-6581	94	67	ρ	ρ	PROPN
ejpam-6581	94	68	=	=	SYM
ejpam-6581	94	69	3t−2	3t−2	NUM
ejpam-6581	94	70	,	,	PUNCT
ejpam-6581	94	71	where	where	SCONJ
ejpam-6581	94	72	k	k	PROPN
ejpam-6581	94	73	=	=	SYM
ejpam-6581	94	74	0	0	PROPN
ejpam-6581	94	75	,	,	PUNCT
ejpam-6581	94	76	γ	γ	NOUN
ejpam-6581	94	77	=	=	SYM
ejpam-6581	94	78	2	2	NUM
ejpam-6581	94	79	3	3	NUM
ejpam-6581	94	80	,	,	PUNCT
ejpam-6581	94	81	n	n	NOUN
ejpam-6581	94	82	=	=	SYM
ejpam-6581	94	83	−1	−1	NOUN
ejpam-6581	94	84	2	2	NUM
ejpam-6581	94	85	.	.	PUNCT
ejpam-6581	95	1	(	(	PUNCT
ejpam-6581	95	2	35	35	NUM
ejpam-6581	95	3	)	)	PUNCT
ejpam-6581	95	4	in	in	ADP
ejpam-6581	95	5	addition	addition	NOUN
ejpam-6581	95	6	,	,	PUNCT
ejpam-6581	95	7	the	the	DET
ejpam-6581	95	8	corresponding	corresponding	ADJ
ejpam-6581	95	9	subdominant	subdominant	ADJ
ejpam-6581	95	10	term	term	NOUN
ejpam-6581	95	11	(	(	PUNCT
ejpam-6581	95	12	33	33	NUM
ejpam-6581	95	13	)	)	PUNCT
ejpam-6581	95	14	satisfies	satisfie	NOUN
ejpam-6581	95	15	f	f	PROPN
ejpam-6581	95	16	(	(	PUNCT
ejpam-6581	95	17	sub	sub	NOUN
ejpam-6581	95	18	)	)	PUNCT
ejpam-6581	95	19	3	3	NUM
ejpam-6581	95	20	(	(	PUNCT
ejpam-6581	95	21	x	x	NOUN
ejpam-6581	95	22	)	)	PUNCT
ejpam-6581	95	23	tp−1	tp−1	PROPN
ejpam-6581	95	24	→	→	SYM
ejpam-6581	95	25	(	(	PUNCT
ejpam-6581	95	26	0	0	NUM
ejpam-6581	95	27	,	,	PUNCT
ejpam-6581	95	28	0	0	NUM
ejpam-6581	95	29	)	)	PUNCT
ejpam-6581	95	30	,	,	PUNCT
ejpam-6581	95	31	(	(	PUNCT
ejpam-6581	95	32	36	36	NUM
ejpam-6581	95	33	)	)	PUNCT
ejpam-6581	95	34	when	when	SCONJ
ejpam-6581	95	35	t	t	PROPN
ejpam-6581	95	36	→	→	SYM
ejpam-6581	95	37	0	0	NUM
ejpam-6581	95	38	,	,	PUNCT
ejpam-6581	95	39	in	in	ADP
ejpam-6581	95	40	this	this	DET
ejpam-6581	95	41	case	case	NOUN
ejpam-6581	95	42	.	.	PUNCT
ejpam-6581	96	1	the	the	DET
ejpam-6581	96	2	next	next	ADJ
ejpam-6581	96	3	three	three	NUM
ejpam-6581	96	4	possible	possible	ADJ
ejpam-6581	96	5	asymptotic	asymptotic	ADJ
ejpam-6581	96	6	decompositions	decomposition	NOUN
ejpam-6581	96	7	,	,	PUNCT
ejpam-6581	96	8	f(x	f(x	PROPN
ejpam-6581	96	9	)	)	PUNCT
ejpam-6581	97	1	=	=	SYM
ejpam-6581	97	2	f	f	PROPN
ejpam-6581	97	3	(	(	PUNCT
ejpam-6581	97	4	0	0	NUM
ejpam-6581	97	5	)	)	PUNCT
ejpam-6581	97	6	j	j	NOUN
ejpam-6581	97	7	(	(	PUNCT
ejpam-6581	97	8	x	x	X
ejpam-6581	97	9	)	)	PUNCT
ejpam-6581	98	1	+	+	NUM
ejpam-6581	98	2	f	f	X
ejpam-6581	98	3	(	(	PUNCT
ejpam-6581	98	4	sub	sub	NOUN
ejpam-6581	98	5	)	)	PUNCT
ejpam-6581	98	6	j	j	PROPN
ejpam-6581	98	7	(	(	PUNCT
ejpam-6581	98	8	x	x	NOUN
ejpam-6581	98	9	)	)	PUNCT
ejpam-6581	98	10	,	,	PUNCT
ejpam-6581	98	11	j	j	X
ejpam-6581	98	12	=	=	SYM
ejpam-6581	98	13	4	4	NUM
ejpam-6581	98	14	,	,	PUNCT
ejpam-6581	98	15	5	5	NUM
ejpam-6581	98	16	,	,	PUNCT
ejpam-6581	98	17	6	6	NUM
ejpam-6581	98	18	,	,	PUNCT
ejpam-6581	98	19	(	(	PUNCT
ejpam-6581	98	20	37	37	NUM
ejpam-6581	98	21	)	)	PUNCT
ejpam-6581	98	22	for	for	ADP
ejpam-6581	98	23	which	which	PRON
ejpam-6581	98	24	,	,	PUNCT
ejpam-6581	98	25	f	f	PROPN
ejpam-6581	98	26	(	(	PUNCT
ejpam-6581	98	27	0	0	NUM
ejpam-6581	98	28	)	)	PUNCT
ejpam-6581	98	29	4	4	NUM
ejpam-6581	98	30	(	(	PUNCT
ejpam-6581	98	31	x	x	NOUN
ejpam-6581	98	32	)	)	PUNCT
ejpam-6581	98	33	=	=	SYM
ejpam-6581	98	34	(	(	PUNCT
ejpam-6581	98	35	−	−	NUM
ejpam-6581	98	36	3γ	3γ	NUM
ejpam-6581	98	37	−	−	PROPN
ejpam-6581	98	38	2	2	NUM
ejpam-6581	98	39	6	6	NUM
ejpam-6581	98	40	ρ,−(3γ	ρ,−(3γ	ADV
ejpam-6581	98	41	−	−	PROPN
ejpam-6581	98	42	2n)ρh	2n)ρh	NUM
ejpam-6581	98	43	)	)	PUNCT
ejpam-6581	98	44	,	,	PUNCT
ejpam-6581	98	45	(	(	PUNCT
ejpam-6581	98	46	38	38	NUM
ejpam-6581	98	47	)	)	PUNCT
ejpam-6581	98	48	f	f	NOUN
ejpam-6581	98	49	(	(	PUNCT
ejpam-6581	98	50	0	0	NUM
ejpam-6581	98	51	)	)	PUNCT
ejpam-6581	98	52	5	5	NUM
ejpam-6581	98	53	(	(	PUNCT
ejpam-6581	98	54	x	x	NOUN
ejpam-6581	98	55	)	)	PUNCT
ejpam-6581	98	56	=	=	SYM
ejpam-6581	98	57	(	(	PUNCT
ejpam-6581	98	58	−	−	NUM
ejpam-6581	98	59	3γ	3γ	NUM
ejpam-6581	98	60	−	−	NOUN
ejpam-6581	98	61	2	2	NUM
ejpam-6581	98	62	6	6	NUM
ejpam-6581	98	63	ρ,−6nh3	ρ,−6nh3	NOUN
ejpam-6581	98	64	)	)	PUNCT
ejpam-6581	98	65	,	,	PUNCT
ejpam-6581	98	66	(	(	PUNCT
ejpam-6581	98	67	39	39	NUM
ejpam-6581	98	68	)	)	PUNCT
ejpam-6581	98	69	f	f	NOUN
ejpam-6581	98	70	(	(	PUNCT
ejpam-6581	98	71	0	0	NUM
ejpam-6581	98	72	)	)	PUNCT
ejpam-6581	98	73	6	6	NUM
ejpam-6581	98	74	(	(	PUNCT
ejpam-6581	98	75	x	x	NOUN
ejpam-6581	98	76	)	)	PUNCT
ejpam-6581	98	77	=	=	SYM
ejpam-6581	98	78	(	(	PUNCT
ejpam-6581	98	79	−	−	NUM
ejpam-6581	98	80	3γ	3γ	NUM
ejpam-6581	98	81	−	−	PROPN
ejpam-6581	98	82	2	2	NUM
ejpam-6581	98	83	6	6	NUM
ejpam-6581	98	84	ρ,−(3γ	ρ,−(3γ	ADV
ejpam-6581	98	85	−	−	PROPN
ejpam-6581	98	86	2n)ρh	2n)ρh	NUM
ejpam-6581	98	87	−	−	PROPN
ejpam-6581	98	88	6nh3	6nh3	NUM
ejpam-6581	98	89	)	)	PUNCT
ejpam-6581	98	90	,	,	PUNCT
ejpam-6581	98	91	(	(	PUNCT
ejpam-6581	98	92	40	40	NUM
ejpam-6581	98	93	)	)	PUNCT
ejpam-6581	98	94	with	with	ADP
ejpam-6581	98	95	corresponding	correspond	VERB
ejpam-6581	98	96	subdominant	subdominant	ADJ
ejpam-6581	98	97	parts	part	NOUN
ejpam-6581	98	98	,	,	PUNCT
ejpam-6581	98	99	f	f	PROPN
ejpam-6581	98	100	(	(	PUNCT
ejpam-6581	98	101	sub	sub	NOUN
ejpam-6581	98	102	)	)	PUNCT
ejpam-6581	98	103	4	4	NUM
ejpam-6581	98	104	(	(	PUNCT
ejpam-6581	98	105	x	x	NOUN
ejpam-6581	98	106	)	)	PUNCT
ejpam-6581	98	107	=	=	SYM
ejpam-6581	98	108	(	(	PUNCT
ejpam-6581	98	109	−h2,−6nh3	−h2,−6nh3	NOUN
ejpam-6581	98	110	)	)	PUNCT
ejpam-6581	98	111	,	,	PUNCT
ejpam-6581	98	112	(	(	PUNCT
ejpam-6581	98	113	41	41	NUM
ejpam-6581	98	114	)	)	PUNCT
ejpam-6581	98	115	f	f	NOUN
ejpam-6581	98	116	(	(	PUNCT
ejpam-6581	98	117	sub	sub	NOUN
ejpam-6581	98	118	)	)	PUNCT
ejpam-6581	98	119	5	5	NUM
ejpam-6581	98	120	(	(	PUNCT
ejpam-6581	98	121	x	x	NOUN
ejpam-6581	98	122	)	)	PUNCT
ejpam-6581	98	123	=	=	SYM
ejpam-6581	98	124	(	(	PUNCT
ejpam-6581	98	125	−h2,−(3γ	−h2,−(3γ	NUM
ejpam-6581	98	126	−	−	PROPN
ejpam-6581	98	127	2n)ρh	2n)ρh	NUM
ejpam-6581	98	128	)	)	PUNCT
ejpam-6581	98	129	,	,	PUNCT
ejpam-6581	98	130	(	(	PUNCT
ejpam-6581	98	131	42	42	X
ejpam-6581	98	132	)	)	PUNCT
ejpam-6581	98	133	f	f	NOUN
ejpam-6581	98	134	(	(	PUNCT
ejpam-6581	98	135	sub	sub	NOUN
ejpam-6581	98	136	)	)	PUNCT
ejpam-6581	98	137	6	6	NUM
ejpam-6581	98	138	(	(	PUNCT
ejpam-6581	98	139	x	x	NOUN
ejpam-6581	98	140	)	)	PUNCT
ejpam-6581	98	141	=	=	SYM
ejpam-6581	98	142	(	(	PUNCT
ejpam-6581	98	143	−h2	−h2	PROPN
ejpam-6581	98	144	,	,	PUNCT
ejpam-6581	98	145	0	0	NUM
ejpam-6581	98	146	)	)	PUNCT
ejpam-6581	98	147	,	,	PUNCT
ejpam-6581	98	148	(	(	PUNCT
ejpam-6581	98	149	43	43	X
ejpam-6581	98	150	)	)	PUNCT
ejpam-6581	98	151	give	give	VERB
ejpam-6581	98	152	no	no	DET
ejpam-6581	98	153	asymptotic	asymptotic	ADJ
ejpam-6581	98	154	solution	solution	NOUN
ejpam-6581	98	155	due	due	ADP
ejpam-6581	98	156	to	to	ADP
ejpam-6581	98	157	the	the	DET
ejpam-6581	98	158	fact	fact	NOUN
ejpam-6581	98	159	that	that	SCONJ
ejpam-6581	98	160	(	(	PUNCT
ejpam-6581	98	161	41)-(43	41)-(43	X
ejpam-6581	98	162	)	)	PUNCT
ejpam-6581	98	163	do	do	AUX
ejpam-6581	98	164	not	not	PART
ejpam-6581	98	165	satisfy	satisfy	VERB
ejpam-6581	98	166	the	the	DET
ejpam-6581	98	167	conditions	condition	NOUN
ejpam-6581	98	168	f	f	X
ejpam-6581	98	169	(	(	PUNCT
ejpam-6581	98	170	sub	sub	NOUN
ejpam-6581	98	171	)	)	PUNCT
ejpam-6581	98	172	j	j	PROPN
ejpam-6581	98	173	(	(	PUNCT
ejpam-6581	98	174	x	x	NOUN
ejpam-6581	98	175	)	)	PUNCT
ejpam-6581	98	176	tp−1	tp−1	PROPN
ejpam-6581	98	177	→	→	SYM
ejpam-6581	98	178	(	(	PUNCT
ejpam-6581	98	179	0	0	NUM
ejpam-6581	98	180	,	,	PUNCT
ejpam-6581	98	181	0	0	NUM
ejpam-6581	98	182	)	)	PUNCT
ejpam-6581	98	183	,	,	PUNCT
ejpam-6581	98	184	j	j	X
ejpam-6581	98	185	=	=	SYM
ejpam-6581	98	186	4	4	NUM
ejpam-6581	98	187	,	,	PUNCT
ejpam-6581	98	188	5	5	NUM
ejpam-6581	98	189	,	,	PUNCT
ejpam-6581	98	190	6	6	NUM
ejpam-6581	98	191	,	,	PUNCT
ejpam-6581	98	192	when	when	SCONJ
ejpam-6581	98	193	t	t	PROPN
ejpam-6581	98	194	→	→	SYM
ejpam-6581	98	195	0	0	NUM
ejpam-6581	98	196	.	.	PUNCT
ejpam-6581	99	1	(	(	PUNCT
ejpam-6581	99	2	44	44	NUM
ejpam-6581	99	3	)	)	PUNCT
ejpam-6581	99	4	we	we	PRON
ejpam-6581	99	5	apply	apply	VERB
ejpam-6581	99	6	the	the	DET
ejpam-6581	99	7	method	method	NOUN
ejpam-6581	99	8	of	of	ADP
ejpam-6581	99	9	asymptotic	asymptotic	ADJ
ejpam-6581	99	10	splittings	splitting	NOUN
ejpam-6581	99	11	for	for	ADP
ejpam-6581	99	12	the	the	DET
ejpam-6581	99	13	remaining	remain	VERB
ejpam-6581	99	14	three	three	NUM
ejpam-6581	99	15	asymptotic	asymptotic	ADJ
ejpam-6581	99	16	decompositions	decomposition	NOUN
ejpam-6581	99	17	,	,	PUNCT
ejpam-6581	99	18	the	the	DET
ejpam-6581	99	19	last	last	ADJ
ejpam-6581	99	20	of	of	ADP
ejpam-6581	99	21	which	which	PRON
ejpam-6581	99	22	is	be	AUX
ejpam-6581	99	23	the	the	DET
ejpam-6581	99	24	all	all	DET
ejpam-6581	99	25	-	-	PUNCT
ejpam-6581	99	26	terms	term	NOUN
ejpam-6581	99	27	dominant	dominant	ADJ
ejpam-6581	99	28	decomposition	decomposition	NOUN
ejpam-6581	99	29	.	.	PUNCT
ejpam-6581	100	1	we	we	PRON
ejpam-6581	100	2	have	have	VERB
ejpam-6581	100	3	,	,	PUNCT
ejpam-6581	100	4	f(x	f(x	PROPN
ejpam-6581	100	5	)	)	PUNCT
ejpam-6581	101	1	=	=	SYM
ejpam-6581	101	2	f	f	PROPN
ejpam-6581	101	3	(	(	PUNCT
ejpam-6581	101	4	0	0	NUM
ejpam-6581	101	5	)	)	PUNCT
ejpam-6581	101	6	j	j	NOUN
ejpam-6581	101	7	(	(	PUNCT
ejpam-6581	101	8	x	x	X
ejpam-6581	101	9	)	)	PUNCT
ejpam-6581	102	1	+	+	NUM
ejpam-6581	102	2	f	f	X
ejpam-6581	102	3	(	(	PUNCT
ejpam-6581	102	4	sub	sub	NOUN
ejpam-6581	102	5	)	)	PUNCT
ejpam-6581	102	6	j	j	PROPN
ejpam-6581	102	7	(	(	PUNCT
ejpam-6581	102	8	x	x	NOUN
ejpam-6581	102	9	)	)	PUNCT
ejpam-6581	102	10	,	,	PUNCT
ejpam-6581	102	11	j	j	X
ejpam-6581	102	12	=	=	SYM
ejpam-6581	102	13	7	7	NUM
ejpam-6581	102	14	,	,	PUNCT
ejpam-6581	102	15	8	8	NUM
ejpam-6581	102	16	,	,	PUNCT
ejpam-6581	102	17	9	9	NUM
ejpam-6581	102	18	,	,	PUNCT
ejpam-6581	102	19	(	(	PUNCT
ejpam-6581	102	20	45	45	NUM
ejpam-6581	102	21	)	)	PUNCT
ejpam-6581	102	22	d.	d.	NOUN
ejpam-6581	102	23	trachilis	trachilis	PROPN
ejpam-6581	102	24	/	/	SYM
ejpam-6581	102	25	eur	eur	PROPN
ejpam-6581	102	26	.	.	PUNCT
ejpam-6581	103	1	j.	j.	PROPN
ejpam-6581	103	2	pure	pure	PROPN
ejpam-6581	103	3	appl	appl	PROPN
ejpam-6581	103	4	.	.	PROPN
ejpam-6581	103	5	math	math	PROPN
ejpam-6581	103	6	,	,	PUNCT
ejpam-6581	103	7	18	18	NUM
ejpam-6581	103	8	(	(	PUNCT
ejpam-6581	103	9	3	3	NUM
ejpam-6581	103	10	)	)	PUNCT
ejpam-6581	103	11	(	(	PUNCT
ejpam-6581	103	12	2025	2025	NUM
ejpam-6581	103	13	)	)	PUNCT
ejpam-6581	103	14	,	,	PUNCT
ejpam-6581	103	15	6581	6581	NUM
ejpam-6581	103	16	7	7	NUM
ejpam-6581	103	17	of	of	ADP
ejpam-6581	103	18	12	12	NUM
ejpam-6581	103	19	where	where	SCONJ
ejpam-6581	103	20	,	,	PUNCT
ejpam-6581	103	21	f	f	PROPN
ejpam-6581	103	22	(	(	PUNCT
ejpam-6581	103	23	0	0	NUM
ejpam-6581	103	24	)	)	PUNCT
ejpam-6581	103	25	7	7	NUM
ejpam-6581	103	26	(	(	PUNCT
ejpam-6581	103	27	x	x	NOUN
ejpam-6581	103	28	)	)	PUNCT
ejpam-6581	103	29	=	=	PUNCT
ejpam-6581	104	1	(	(	PUNCT
ejpam-6581	104	2	−h2	−h2	VERB
ejpam-6581	104	3	−	−	PROPN
ejpam-6581	104	4	3γ	3γ	NUM
ejpam-6581	104	5	−	−	PROPN
ejpam-6581	104	6	2	2	NUM
ejpam-6581	104	7	6	6	NUM
ejpam-6581	104	8	ρ,−(3γ	ρ,−(3γ	ADV
ejpam-6581	104	9	−	−	PROPN
ejpam-6581	104	10	2n)ρh	2n)ρh	NUM
ejpam-6581	104	11	)	)	PUNCT
ejpam-6581	104	12	,	,	PUNCT
ejpam-6581	104	13	(	(	PUNCT
ejpam-6581	104	14	46	46	X
ejpam-6581	104	15	)	)	PUNCT
ejpam-6581	104	16	f	f	NOUN
ejpam-6581	104	17	(	(	PUNCT
ejpam-6581	104	18	0	0	NUM
ejpam-6581	104	19	)	)	PUNCT
ejpam-6581	104	20	8	8	NUM
ejpam-6581	104	21	(	(	PUNCT
ejpam-6581	104	22	x	x	NOUN
ejpam-6581	104	23	)	)	PUNCT
ejpam-6581	104	24	=	=	PUNCT
ejpam-6581	105	1	(	(	PUNCT
ejpam-6581	105	2	−h2	−h2	VERB
ejpam-6581	105	3	−	−	PROPN
ejpam-6581	105	4	3γ	3γ	NUM
ejpam-6581	105	5	−	−	NOUN
ejpam-6581	105	6	2	2	NUM
ejpam-6581	105	7	6	6	NUM
ejpam-6581	105	8	ρ,−6nh3	ρ,−6nh3	NOUN
ejpam-6581	105	9	)	)	PUNCT
ejpam-6581	105	10	,	,	PUNCT
ejpam-6581	105	11	(	(	PUNCT
ejpam-6581	105	12	47	47	NUM
ejpam-6581	105	13	)	)	PUNCT
ejpam-6581	105	14	f	f	NOUN
ejpam-6581	105	15	(	(	PUNCT
ejpam-6581	105	16	0	0	NUM
ejpam-6581	105	17	)	)	PUNCT
ejpam-6581	105	18	9	9	NUM
ejpam-6581	105	19	(	(	PUNCT
ejpam-6581	105	20	x	x	NOUN
ejpam-6581	105	21	)	)	PUNCT
ejpam-6581	105	22	=	=	PUNCT
ejpam-6581	106	1	(	(	PUNCT
ejpam-6581	106	2	−h2	−h2	VERB
ejpam-6581	106	3	−	−	PROPN
ejpam-6581	106	4	3γ	3γ	NUM
ejpam-6581	106	5	−	−	PROPN
ejpam-6581	106	6	2	2	NUM
ejpam-6581	106	7	6	6	NUM
ejpam-6581	106	8	ρ,−(3γ	ρ,−(3γ	ADV
ejpam-6581	106	9	−	−	PROPN
ejpam-6581	106	10	2n)ρh	2n)ρh	NUM
ejpam-6581	107	1	−	−	PROPN
ejpam-6581	107	2	6nh3	6nh3	NUM
ejpam-6581	107	3	)	)	PUNCT
ejpam-6581	107	4	,	,	PUNCT
ejpam-6581	107	5	(	(	PUNCT
ejpam-6581	107	6	48	48	NUM
ejpam-6581	107	7	)	)	PUNCT
ejpam-6581	108	1	and	and	CCONJ
ejpam-6581	108	2	,	,	PUNCT
ejpam-6581	108	3	f	f	PROPN
ejpam-6581	108	4	(	(	PUNCT
ejpam-6581	108	5	sub	sub	NOUN
ejpam-6581	108	6	)	)	PUNCT
ejpam-6581	108	7	7	7	NUM
ejpam-6581	108	8	(	(	PUNCT
ejpam-6581	108	9	x	x	NOUN
ejpam-6581	108	10	)	)	PUNCT
ejpam-6581	108	11	=	=	SYM
ejpam-6581	108	12	(	(	PUNCT
ejpam-6581	108	13	0,−6nh3	0,−6nh3	PROPN
ejpam-6581	108	14	)	)	PUNCT
ejpam-6581	108	15	,	,	PUNCT
ejpam-6581	108	16	(	(	PUNCT
ejpam-6581	108	17	49	49	NUM
ejpam-6581	108	18	)	)	PUNCT
ejpam-6581	108	19	f	f	NOUN
ejpam-6581	108	20	(	(	PUNCT
ejpam-6581	108	21	sub	sub	NOUN
ejpam-6581	108	22	)	)	PUNCT
ejpam-6581	108	23	8	8	NUM
ejpam-6581	108	24	(	(	PUNCT
ejpam-6581	108	25	x	x	NOUN
ejpam-6581	108	26	)	)	PUNCT
ejpam-6581	108	27	=	=	SYM
ejpam-6581	109	1	(	(	PUNCT
ejpam-6581	109	2	0,−(3γ	0,−(3γ	NUM
ejpam-6581	109	3	−	−	PROPN
ejpam-6581	109	4	2n)ρh	2n)ρh	NUM
ejpam-6581	109	5	)	)	PUNCT
ejpam-6581	109	6	,	,	PUNCT
ejpam-6581	109	7	(	(	PUNCT
ejpam-6581	109	8	50	50	NUM
ejpam-6581	109	9	)	)	PUNCT
ejpam-6581	109	10	f	f	NOUN
ejpam-6581	109	11	(	(	PUNCT
ejpam-6581	109	12	sub	sub	NOUN
ejpam-6581	109	13	)	)	PUNCT
ejpam-6581	109	14	9	9	NUM
ejpam-6581	109	15	(	(	PUNCT
ejpam-6581	109	16	x	x	NOUN
ejpam-6581	109	17	)	)	PUNCT
ejpam-6581	109	18	=	=	SYM
ejpam-6581	109	19	(	(	PUNCT
ejpam-6581	109	20	0	0	NUM
ejpam-6581	109	21	,	,	PUNCT
ejpam-6581	109	22	0	0	NUM
ejpam-6581	109	23	)	)	PUNCT
ejpam-6581	109	24	,	,	PUNCT
ejpam-6581	109	25	(	(	PUNCT
ejpam-6581	109	26	51	51	NUM
ejpam-6581	109	27	)	)	PUNCT
ejpam-6581	109	28	in	in	ADP
ejpam-6581	109	29	every	every	DET
ejpam-6581	109	30	previous	previous	ADJ
ejpam-6581	109	31	decomposition	decomposition	NOUN
ejpam-6581	109	32	(	(	PUNCT
ejpam-6581	109	33	46)-(48	46)-(48	NOUN
ejpam-6581	109	34	)	)	PUNCT
ejpam-6581	109	35	,	,	PUNCT
ejpam-6581	109	36	we	we	PRON
ejpam-6581	109	37	find	find	VERB
ejpam-6581	109	38	that	that	SCONJ
ejpam-6581	109	39	p	p	X
ejpam-6581	109	40	=	=	PUNCT
ejpam-6581	109	41	−1	−1	NOUN
ejpam-6581	109	42	and	and	CCONJ
ejpam-6581	109	43	q	q	NOUN
ejpam-6581	109	44	=	=	NOUN
ejpam-6581	109	45	−2	−2	NOUN
ejpam-6581	109	46	.	.	PUNCT
ejpam-6581	110	1	however	however	ADV
ejpam-6581	110	2	,	,	PUNCT
ejpam-6581	110	3	the	the	DET
ejpam-6581	110	4	possible	possible	ADJ
ejpam-6581	110	5	values	value	NOUN
ejpam-6581	110	6	of	of	ADP
ejpam-6581	110	7	α	α	NOUN
ejpam-6581	110	8	and	and	CCONJ
ejpam-6581	110	9	β	β	PROPN
ejpam-6581	110	10	that	that	PRON
ejpam-6581	110	11	are	be	AUX
ejpam-6581	110	12	accepted	accept	VERB
ejpam-6581	110	13	from	from	ADP
ejpam-6581	110	14	the	the	DET
ejpam-6581	110	15	decomposed	decompose	VERB
ejpam-6581	110	16	systems	system	NOUN
ejpam-6581	110	17	vary	vary	VERB
ejpam-6581	110	18	,	,	PUNCT
ejpam-6581	110	19	and	and	CCONJ
ejpam-6581	110	20	give	give	VERB
ejpam-6581	110	21	the	the	DET
ejpam-6581	110	22	following	follow	VERB
ejpam-6581	110	23	six	six	NUM
ejpam-6581	110	24	special	special	ADJ
ejpam-6581	110	25	asymptotic	asymptotic	ADJ
ejpam-6581	110	26	solutions	solution	NOUN
ejpam-6581	110	27	for	for	ADP
ejpam-6581	110	28	h	h	NOUN
ejpam-6581	110	29	and	and	CCONJ
ejpam-6581	110	30	ρ	ρ	NOUN
ejpam-6581	110	31	in	in	ADP
ejpam-6581	110	32	(	(	PUNCT
ejpam-6581	110	33	13	13	NUM
ejpam-6581	110	34	)	)	PUNCT
ejpam-6581	110	35	,	,	PUNCT
ejpam-6581	110	36	h	h	NOUN
ejpam-6581	111	1	=	=	NOUN
ejpam-6581	111	2	1	1	NUM
ejpam-6581	111	3	1−	1−	NUM
ejpam-6581	111	4	c	c	PROPN
ejpam-6581	111	5	t−1	t−1	PROPN
ejpam-6581	111	6	,	,	PUNCT
ejpam-6581	111	7	ρ	ρ	PROPN
ejpam-6581	111	8	=	=	SYM
ejpam-6581	111	9	3c	3c	NUM
ejpam-6581	111	10	(	(	PUNCT
ejpam-6581	111	11	1−	1−	NUM
ejpam-6581	111	12	c)2	c)2	PROPN
ejpam-6581	111	13	t−2	t−2	PROPN
ejpam-6581	111	14	,	,	PUNCT
ejpam-6581	111	15	where	where	SCONJ
ejpam-6581	111	16	k	k	PROPN
ejpam-6581	111	17	̸=	̸=	PROPN
ejpam-6581	111	18	0	0	NUM
ejpam-6581	111	19	,	,	PUNCT
ejpam-6581	111	20	γ	γ	X
ejpam-6581	111	21	=	=	SYM
ejpam-6581	111	22	0	0	NUM
ejpam-6581	111	23	,	,	PUNCT
ejpam-6581	111	24	and	and	CCONJ
ejpam-6581	111	25	n	n	X
ejpam-6581	111	26	=	=	SYM
ejpam-6581	111	27	c	c	NOUN
ejpam-6581	111	28	satisfies	satisfie	NOUN
ejpam-6581	111	29	−18c3	−18c3	PUNCT
ejpam-6581	111	30	+	+	PROPN
ejpam-6581	111	31	89c2	89c2	NUM
ejpam-6581	111	32	−	−	NOUN
ejpam-6581	111	33	106c−	106c−	NUM
ejpam-6581	111	34	1	1	NUM
ejpam-6581	111	35	=	=	SYM
ejpam-6581	111	36	0	0	NUM
ejpam-6581	111	37	,	,	PUNCT
ejpam-6581	111	38	(	(	PUNCT
ejpam-6581	111	39	52	52	NUM
ejpam-6581	111	40	)	)	PUNCT
ejpam-6581	111	41	h	h	NOUN
ejpam-6581	111	42	=	=	SYM
ejpam-6581	111	43	c−	c−	PROPN
ejpam-6581	111	44	1	1	NUM
ejpam-6581	111	45	108c	108c	PROPN
ejpam-6581	111	46	t−1	t−1	PROPN
ejpam-6581	111	47	,	,	PUNCT
ejpam-6581	111	48	ρ	ρ	PROPN
ejpam-6581	111	49	=	=	SYM
ejpam-6581	111	50	(	(	PUNCT
ejpam-6581	111	51	c−	c−	PROPN
ejpam-6581	111	52	1)3	1)3	PROPN
ejpam-6581	111	53	419904c2	419904c2	PROPN
ejpam-6581	111	54	t−2	t−2	PROPN
ejpam-6581	111	55	,	,	PUNCT
ejpam-6581	111	56	where	where	SCONJ
ejpam-6581	111	57	(	(	PUNCT
ejpam-6581	111	58	k	k	NOUN
ejpam-6581	111	59	=	=	SYM
ejpam-6581	111	60	0	0	NUM
ejpam-6581	111	61	,	,	PUNCT
ejpam-6581	111	62	n	n	NOUN
ejpam-6581	111	63	=	=	SYM
ejpam-6581	111	64	c	c	NOUN
ejpam-6581	111	65	=	=	SYM
ejpam-6581	111	66	109	109	NUM
ejpam-6581	111	67	,	,	PUNCT
ejpam-6581	111	68	γ	γ	X
ejpam-6581	111	69	=	=	SYM
ejpam-6581	111	70	218	218	NUM
ejpam-6581	111	71	3	3	NUM
ejpam-6581	111	72	)	)	PUNCT
ejpam-6581	111	73	,	,	PUNCT
ejpam-6581	111	74	or	or	CCONJ
ejpam-6581	111	75	(	(	PUNCT
ejpam-6581	111	76	k	k	X
ejpam-6581	111	77	<	<	X
ejpam-6581	111	78	0	0	NUM
ejpam-6581	111	79	,	,	PUNCT
ejpam-6581	111	80	n	n	NOUN
ejpam-6581	111	81	=	=	SYM
ejpam-6581	111	82	c	c	NOUN
ejpam-6581	111	83	=	=	SYM
ejpam-6581	112	1	−53±	−53±	PROPN
ejpam-6581	112	2	6	6	NUM
ejpam-6581	112	3	√	√	NUM
ejpam-6581	112	4	78	78	NUM
ejpam-6581	112	5	,	,	PUNCT
ejpam-6581	112	6	γ	γ	X
ejpam-6581	112	7	=	=	SYM
ejpam-6581	112	8	2c	2c	NUM
ejpam-6581	112	9	3	3	NUM
ejpam-6581	112	10	)	)	PUNCT
ejpam-6581	112	11	,	,	PUNCT
ejpam-6581	112	12	(	(	PUNCT
ejpam-6581	112	13	53	53	NUM
ejpam-6581	112	14	)	)	PUNCT
ejpam-6581	112	15	h	h	NOUN
ejpam-6581	113	1	=	=	NOUN
ejpam-6581	113	2	1	1	NUM
ejpam-6581	113	3	1−	1−	NUM
ejpam-6581	113	4	c	c	PROPN
ejpam-6581	113	5	t−1	t−1	PROPN
ejpam-6581	113	6	,	,	PUNCT
ejpam-6581	113	7	ρ	ρ	PROPN
ejpam-6581	113	8	=	=	SYM
ejpam-6581	113	9	6c	6c	PROPN
ejpam-6581	113	10	(	(	PUNCT
ejpam-6581	113	11	1−	1−	NUM
ejpam-6581	113	12	c)2(2−	c)2(2−	PROPN
ejpam-6581	113	13	3γ	3γ	NUM
ejpam-6581	113	14	)	)	PUNCT
ejpam-6581	113	15	t−2	t−2	PROPN
ejpam-6581	113	16	,	,	PUNCT
ejpam-6581	113	17	where	where	SCONJ
ejpam-6581	113	18	k	k	PROPN
ejpam-6581	113	19	=	=	SYM
ejpam-6581	113	20	0,±1	0,±1	PROPN
ejpam-6581	113	21	,	,	PUNCT
ejpam-6581	113	22	γ	γ	PROPN
ejpam-6581	113	23	̸=	̸=	PROPN
ejpam-6581	113	24	0	0	NUM
ejpam-6581	113	25	,	,	PUNCT
ejpam-6581	113	26	2	2	NUM
ejpam-6581	113	27	3	3	NUM
ejpam-6581	113	28	,	,	PUNCT
ejpam-6581	113	29	n	n	NOUN
ejpam-6581	113	30	=	=	SYM
ejpam-6581	113	31	c	c	PROPN
ejpam-6581	113	32	̸=	̸=	PROPN
ejpam-6581	113	33	1	1	NUM
ejpam-6581	113	34	,	,	PUNCT
ejpam-6581	113	35	and	and	CCONJ
ejpam-6581	113	36	(	(	PUNCT
ejpam-6581	113	37	3γ	3γ	NUM
ejpam-6581	113	38	−	−	PROPN
ejpam-6581	113	39	2)2(c2	2)2(c2	NUM
ejpam-6581	113	40	+	+	CCONJ
ejpam-6581	113	41	34c+	34c+	NUM
ejpam-6581	113	42	1	1	NUM
ejpam-6581	113	43	)	)	PUNCT
ejpam-6581	113	44	+	+	CCONJ
ejpam-6581	113	45	36c(c−	36c(c−	NUM
ejpam-6581	113	46	1)(9γ	1)(9γ	NUM
ejpam-6581	113	47	+	+	PROPN
ejpam-6581	113	48	2c−	2c−	PROPN
ejpam-6581	113	49	8)	8)	NUM
ejpam-6581	113	50	=	=	SYM
ejpam-6581	113	51	0	0	NUM
ejpam-6581	113	52	,	,	PUNCT
ejpam-6581	113	53	(	(	PUNCT
ejpam-6581	113	54	54	54	NUM
ejpam-6581	113	55	)	)	PUNCT
ejpam-6581	113	56	h	h	NOUN
ejpam-6581	114	1	=	=	NOUN
ejpam-6581	114	2	1	1	NUM
ejpam-6581	114	3	1−	1−	NUM
ejpam-6581	114	4	c	c	PROPN
ejpam-6581	114	5	t−1	t−1	PROPN
ejpam-6581	114	6	,	,	PUNCT
ejpam-6581	114	7	ρ	ρ	PROPN
ejpam-6581	114	8	=	=	SYM
ejpam-6581	114	9	3	3	NUM
ejpam-6581	114	10	(	(	PUNCT
ejpam-6581	114	11	1−	1−	NUM
ejpam-6581	114	12	c)2	c)2	PROPN
ejpam-6581	114	13	t−2	t−2	PROPN
ejpam-6581	114	14	,	,	PUNCT
ejpam-6581	114	15	where	where	SCONJ
ejpam-6581	114	16	k	k	PROPN
ejpam-6581	114	17	=	=	SYM
ejpam-6581	114	18	0	0	PROPN
ejpam-6581	114	19	,	,	PUNCT
ejpam-6581	114	20	γ	γ	NOUN
ejpam-6581	114	21	=	=	SYM
ejpam-6581	114	22	2−	2−	NUM
ejpam-6581	114	23	2n	2n	NUM
ejpam-6581	114	24	3	3	NUM
ejpam-6581	114	25	,	,	PUNCT
ejpam-6581	114	26	n	n	NOUN
ejpam-6581	114	27	=	=	SYM
ejpam-6581	114	28	c	c	PROPN
ejpam-6581	114	29	̸=	̸=	PROPN
ejpam-6581	114	30	1	1	NUM
ejpam-6581	114	31	,	,	PUNCT
ejpam-6581	114	32	and	and	CCONJ
ejpam-6581	114	33	c3	c3	PROPN
ejpam-6581	114	34	−	−	PROPN
ejpam-6581	114	35	2c2	2c2	NUM
ejpam-6581	115	1	+	+	CCONJ
ejpam-6581	115	2	19c+	19c+	NUM
ejpam-6581	115	3	18	18	NUM
ejpam-6581	115	4	=	=	SYM
ejpam-6581	115	5	0	0	NUM
ejpam-6581	115	6	,	,	PUNCT
ejpam-6581	115	7	(	(	PUNCT
ejpam-6581	115	8	55	55	NUM
ejpam-6581	115	9	)	)	PUNCT
ejpam-6581	115	10	h	h	NOUN
ejpam-6581	115	11	=	=	SYM
ejpam-6581	115	12	2	2	NUM
ejpam-6581	115	13	3γ	3γ	NUM
ejpam-6581	115	14	t−1	t−1	PROPN
ejpam-6581	115	15	,	,	PUNCT
ejpam-6581	115	16	ρ	ρ	PROPN
ejpam-6581	115	17	=	=	SYM
ejpam-6581	115	18	4	4	NUM
ejpam-6581	115	19	3γ2	3γ2	NUM
ejpam-6581	115	20	t−2	t−2	NOUN
ejpam-6581	115	21	,	,	PUNCT
ejpam-6581	115	22	where	where	SCONJ
ejpam-6581	115	23	k	k	PROPN
ejpam-6581	115	24	=	=	SYM
ejpam-6581	115	25	0	0	PROPN
ejpam-6581	115	26	,	,	PUNCT
ejpam-6581	115	27	γ	γ	X
ejpam-6581	115	28	̸=	̸=	PROPN
ejpam-6581	115	29	0	0	NUM
ejpam-6581	115	30	,	,	PUNCT
ejpam-6581	115	31	2	2	NUM
ejpam-6581	115	32	3	3	NUM
ejpam-6581	115	33	,	,	PUNCT
ejpam-6581	115	34	n	n	CCONJ
ejpam-6581	115	35	̸=	̸=	PROPN
ejpam-6581	115	36	1	1	NUM
ejpam-6581	115	37	,	,	PUNCT
ejpam-6581	115	38	and	and	CCONJ
ejpam-6581	115	39	γ2(3γ	γ2(3γ	PROPN
ejpam-6581	116	1	−	−	PROPN
ejpam-6581	116	2	2)(3γ	2)(3γ	NUM
ejpam-6581	116	3	−	−	NOUN
ejpam-6581	116	4	7	7	NUM
ejpam-6581	116	5	)	)	PUNCT
ejpam-6581	116	6	+	+	CCONJ
ejpam-6581	116	7	8(3γ	8(3γ	NUM
ejpam-6581	117	1	+	+	CCONJ
ejpam-6581	118	1	4n)(3γ	4n)(3γ	NUM
ejpam-6581	118	2	−	−	NOUN
ejpam-6581	118	3	2n	2n	NUM
ejpam-6581	118	4	)	)	PUNCT
ejpam-6581	118	5	=	=	SYM
ejpam-6581	118	6	0	0	NUM
ejpam-6581	118	7	,	,	PUNCT
ejpam-6581	118	8	(	(	PUNCT
ejpam-6581	118	9	56	56	NUM
ejpam-6581	118	10	)	)	PUNCT
ejpam-6581	118	11	and	and	CCONJ
ejpam-6581	118	12	the	the	DET
ejpam-6581	118	13	general	general	ADJ
ejpam-6581	118	14	asymptotic	asymptotic	ADJ
ejpam-6581	118	15	solution	solution	NOUN
ejpam-6581	118	16	,	,	PUNCT
ejpam-6581	118	17	h	h	NOUN
ejpam-6581	119	1	=	=	SYM
ejpam-6581	119	2	t−1	t−1	PROPN
ejpam-6581	119	3	+	+	CCONJ
ejpam-6581	119	4	c11	c11	NOUN
ejpam-6581	119	5	t	t	NOUN
ejpam-6581	119	6	−2	−2	NOUN
ejpam-6581	119	7	+	+	CCONJ
ejpam-6581	119	8	·	·	PUNCT
ejpam-6581	119	9	·	·	PUNCT
ejpam-6581	119	10	·	·	PUNCT
ejpam-6581	119	11	,	,	PUNCT
ejpam-6581	119	12	ρ	ρ	PROPN
ejpam-6581	119	13	=	=	SYM
ejpam-6581	119	14	3t−2	3t−2	NUM
ejpam-6581	119	15	+	+	CCONJ
ejpam-6581	119	16	c12	c12	PROPN
ejpam-6581	119	17	t	t	NOUN
ejpam-6581	119	18	−3	−3	PROPN
ejpam-6581	119	19	+	+	CCONJ
ejpam-6581	119	20	·	·	PUNCT
ejpam-6581	119	21	·	·	PUNCT
ejpam-6581	119	22	·	·	PUNCT
ejpam-6581	119	23	,	,	PUNCT
ejpam-6581	119	24	where	where	SCONJ
ejpam-6581	119	25	c12	c12	PROPN
ejpam-6581	119	26	=	=	SYM
ejpam-6581	119	27	3c11	3c11	NOUN
ejpam-6581	119	28	,	,	PUNCT
ejpam-6581	119	29	and	and	CCONJ
ejpam-6581	119	30	k	k	PROPN
ejpam-6581	119	31	=	=	SYM
ejpam-6581	119	32	0,±1	0,±1	PROPN
ejpam-6581	119	33	,	,	PUNCT
ejpam-6581	119	34	γ	γ	X
ejpam-6581	119	35	=	=	SYM
ejpam-6581	119	36	2	2	NUM
ejpam-6581	119	37	3	3	NUM
ejpam-6581	119	38	,	,	PUNCT
ejpam-6581	119	39	n	n	NOUN
ejpam-6581	119	40	=	=	SYM
ejpam-6581	119	41	−1	−1	NOUN
ejpam-6581	119	42	2	2	NUM
ejpam-6581	119	43	.	.	PUNCT
ejpam-6581	120	1	(	(	PUNCT
ejpam-6581	120	2	57	57	NUM
ejpam-6581	120	3	)	)	PUNCT
ejpam-6581	120	4	solution	solution	NOUN
ejpam-6581	120	5	(	(	PUNCT
ejpam-6581	120	6	57	57	NUM
ejpam-6581	120	7	)	)	PUNCT
ejpam-6581	120	8	contains	contain	VERB
ejpam-6581	120	9	two	two	NUM
ejpam-6581	120	10	arbitrary	arbitrary	ADJ
ejpam-6581	120	11	constants	constant	NOUN
ejpam-6581	120	12	,	,	PUNCT
ejpam-6581	120	13	c11	c11	NOUN
ejpam-6581	120	14	and	and	CCONJ
ejpam-6581	120	15	one	one	NUM
ejpam-6581	120	16	more	more	ADJ
ejpam-6581	120	17	that	that	PRON
ejpam-6581	120	18	corresponds	correspond	VERB
ejpam-6581	120	19	to	to	ADP
ejpam-6581	120	20	the	the	DET
ejpam-6581	120	21	arbitrary	arbitrary	ADJ
ejpam-6581	120	22	position	position	NOUN
ejpam-6581	120	23	of	of	ADP
ejpam-6581	120	24	the	the	DET
ejpam-6581	120	25	singularity	singularity	NOUN
ejpam-6581	120	26	(	(	PUNCT
ejpam-6581	120	27	here	here	ADV
ejpam-6581	120	28	without	without	ADP
ejpam-6581	120	29	loss	loss	NOUN
ejpam-6581	120	30	of	of	ADP
ejpam-6581	120	31	generality	generality	NOUN
ejpam-6581	120	32	,	,	PUNCT
ejpam-6581	120	33	we	we	PRON
ejpam-6581	120	34	consider	consider	VERB
ejpam-6581	120	35	t0	t0	NOUN
ejpam-6581	120	36	=	=	SYM
ejpam-6581	120	37	0	0	NUM
ejpam-6581	120	38	)	)	PUNCT
ejpam-6581	120	39	.	.	PUNCT
ejpam-6581	121	1	d.	d.	PROPN
ejpam-6581	121	2	trachilis	trachilis	PROPN
ejpam-6581	121	3	/	/	SYM
ejpam-6581	121	4	eur	eur	PROPN
ejpam-6581	121	5	.	.	PUNCT
ejpam-6581	122	1	j.	j.	PROPN
ejpam-6581	122	2	pure	pure	PROPN
ejpam-6581	122	3	appl	appl	PROPN
ejpam-6581	122	4	.	.	PROPN
ejpam-6581	122	5	math	math	PROPN
ejpam-6581	122	6	,	,	PUNCT
ejpam-6581	122	7	18	18	NUM
ejpam-6581	122	8	(	(	PUNCT
ejpam-6581	122	9	3	3	NUM
ejpam-6581	122	10	)	)	PUNCT
ejpam-6581	122	11	(	(	PUNCT
ejpam-6581	122	12	2025	2025	NUM
ejpam-6581	122	13	)	)	PUNCT
ejpam-6581	122	14	,	,	PUNCT
ejpam-6581	122	15	6581	6581	NUM
ejpam-6581	122	16	8	8	NUM
ejpam-6581	122	17	of	of	ADP
ejpam-6581	122	18	12	12	NUM
ejpam-6581	122	19	notice	notice	NOUN
ejpam-6581	122	20	that	that	SCONJ
ejpam-6581	122	21	the	the	DET
ejpam-6581	122	22	special	special	ADJ
ejpam-6581	122	23	solution	solution	NOUN
ejpam-6581	122	24	(	(	PUNCT
ejpam-6581	122	25	35	35	NUM
ejpam-6581	122	26	)	)	PUNCT
ejpam-6581	122	27	found	find	VERB
ejpam-6581	122	28	in	in	ADP
ejpam-6581	122	29	the	the	DET
ejpam-6581	122	30	third	third	ADJ
ejpam-6581	122	31	decomposition	decomposition	NOUN
ejpam-6581	122	32	is	be	AUX
ejpam-6581	122	33	just	just	ADV
ejpam-6581	122	34	a	a	DET
ejpam-6581	122	35	special	special	ADJ
ejpam-6581	122	36	case	case	NOUN
ejpam-6581	122	37	of	of	ADP
ejpam-6581	122	38	(	(	PUNCT
ejpam-6581	122	39	57	57	NUM
ejpam-6581	122	40	)	)	PUNCT
ejpam-6581	122	41	.	.	PUNCT
ejpam-6581	123	1	our	our	PRON
ejpam-6581	123	2	various	various	ADJ
ejpam-6581	123	3	series	series	NOUN
ejpam-6581	123	4	solutions	solution	NOUN
ejpam-6581	123	5	found	find	VERB
ejpam-6581	123	6	in	in	ADP
ejpam-6581	123	7	all	all	DET
ejpam-6581	123	8	nine	nine	NUM
ejpam-6581	123	9	asymptotic	asymptotic	ADJ
ejpam-6581	123	10	decompositions	decomposition	NOUN
ejpam-6581	123	11	satisfy	satisfy	VERB
ejpam-6581	123	12	the	the	DET
ejpam-6581	123	13	phase	phase	NOUN
ejpam-6581	123	14	space	space	NOUN
ejpam-6581	123	15	of	of	ADP
ejpam-6581	123	16	the	the	DET
ejpam-6581	123	17	initial	initial	ADJ
ejpam-6581	123	18	system	system	NOUN
ejpam-6581	123	19	(	(	PUNCT
ejpam-6581	123	20	13	13	NUM
ejpam-6581	123	21	)	)	PUNCT
ejpam-6581	123	22	that	that	PRON
ejpam-6581	123	23	follows	follow	VERB
ejpam-6581	123	24	from	from	ADP
ejpam-6581	123	25	eq	eq	ADP
ejpam-6581	123	26	.	.	PUNCT
ejpam-6581	124	1	(	(	PUNCT
ejpam-6581	124	2	12	12	NUM
ejpam-6581	124	3	)	)	PUNCT
ejpam-6581	124	4	.	.	PUNCT
ejpam-6581	125	1	in	in	ADP
ejpam-6581	125	2	particular	particular	ADJ
ejpam-6581	125	3	,	,	PUNCT
ejpam-6581	125	4	for	for	ADP
ejpam-6581	125	5	closed	closed	ADJ
ejpam-6581	125	6	models	model	NOUN
ejpam-6581	125	7	,	,	PUNCT
ejpam-6581	125	8	the	the	DET
ejpam-6581	125	9	phase	phase	NOUN
ejpam-6581	125	10	portrait	portrait	NOUN
ejpam-6581	125	11	of	of	ADP
ejpam-6581	125	12	(	(	PUNCT
ejpam-6581	125	13	13	13	NUM
ejpam-6581	125	14	)	)	PUNCT
ejpam-6581	125	15	is	be	AUX
ejpam-6581	125	16	given	give	VERB
ejpam-6581	125	17	by	by	ADP
ejpam-6581	125	18	the	the	DET
ejpam-6581	125	19	set	set	NOUN
ejpam-6581	125	20	{	{	PUNCT
ejpam-6581	125	21	(	(	PUNCT
ejpam-6581	125	22	h	h	NOUN
ejpam-6581	125	23	,	,	PUNCT
ejpam-6581	125	24	ρ	ρ	NOUN
ejpam-6581	125	25	)	)	PUNCT
ejpam-6581	125	26	∈	∈	PROPN
ejpam-6581	125	27	r2	r2	NOUN
ejpam-6581	125	28	:	:	PUNCT
ejpam-6581	125	29	ρ	ρ	NOUN
ejpam-6581	125	30	≥	≥	NOUN
ejpam-6581	125	31	0	0	NUM
ejpam-6581	125	32	,	,	PUNCT
ejpam-6581	125	33	ρ−	ρ−	NOUN
ejpam-6581	125	34	3h2	3h2	NUM
ejpam-6581	125	35	>	>	X
ejpam-6581	125	36	0	0	NUM
ejpam-6581	125	37	}	}	PUNCT
ejpam-6581	125	38	,	,	PUNCT
ejpam-6581	125	39	and	and	CCONJ
ejpam-6581	125	40	for	for	ADP
ejpam-6581	125	41	open	open	ADJ
ejpam-6581	125	42	models	model	NOUN
ejpam-6581	125	43	it	it	PRON
ejpam-6581	125	44	is	be	AUX
ejpam-6581	125	45	given	give	VERB
ejpam-6581	125	46	by	by	ADP
ejpam-6581	125	47	{	{	PUNCT
ejpam-6581	125	48	(	(	PUNCT
ejpam-6581	125	49	h	h	NOUN
ejpam-6581	125	50	,	,	PUNCT
ejpam-6581	125	51	ρ	ρ	NOUN
ejpam-6581	125	52	)	)	PUNCT
ejpam-6581	125	53	∈	∈	PROPN
ejpam-6581	125	54	r2	r2	NOUN
ejpam-6581	125	55	:	:	PUNCT
ejpam-6581	125	56	ρ	ρ	NOUN
ejpam-6581	125	57	≥	≥	NOUN
ejpam-6581	125	58	0	0	NUM
ejpam-6581	125	59	,	,	PUNCT
ejpam-6581	125	60	ρ−	ρ−	NOUN
ejpam-6581	126	1	3h2	3h2	NUM
ejpam-6581	126	2	<	<	X
ejpam-6581	126	3	0	0	NUM
ejpam-6581	126	4	}	}	PUNCT
ejpam-6581	126	5	.	.	PUNCT
ejpam-6581	127	1	4	4	X
ejpam-6581	127	2	.	.	X
ejpam-6581	127	3	reduction	reduction	NOUN
ejpam-6581	127	4	to	to	ADP
ejpam-6581	127	5	two	two	NUM
ejpam-6581	127	6	dimensions	dimension	NOUN
ejpam-6581	127	7	with	with	ADP
ejpam-6581	127	8	varying	vary	VERB
ejpam-6581	127	9	g	g	NOUN
ejpam-6581	127	10	in	in	ADP
ejpam-6581	127	11	this	this	DET
ejpam-6581	127	12	section	section	NOUN
ejpam-6581	127	13	we	we	PRON
ejpam-6581	127	14	assume	assume	VERB
ejpam-6581	127	15	that	that	SCONJ
ejpam-6581	127	16	both	both	DET
ejpam-6581	127	17	functions	function	NOUN
ejpam-6581	127	18	c	c	NOUN
ejpam-6581	127	19	=	=	SYM
ejpam-6581	127	20	c(t	c(t	PROPN
ejpam-6581	127	21	)	)	PUNCT
ejpam-6581	127	22	and	and	CCONJ
ejpam-6581	127	23	g	g	PROPN
ejpam-6581	127	24	=	=	SYM
ejpam-6581	127	25	g(t	g(t	PROPN
ejpam-6581	127	26	)	)	PUNCT
ejpam-6581	127	27	have	have	VERB
ejpam-6581	127	28	a	a	DET
ejpam-6581	127	29	power	power	NOUN
ejpam-6581	127	30	-	-	PUNCT
ejpam-6581	127	31	law	law	NOUN
ejpam-6581	127	32	dependence	dependence	NOUN
ejpam-6581	127	33	of	of	ADP
ejpam-6581	127	34	the	the	DET
ejpam-6581	127	35	form	form	NOUN
ejpam-6581	127	36	,	,	PUNCT
ejpam-6581	127	37	c	c	NOUN
ejpam-6581	127	38	=	=	SYM
ejpam-6581	127	39	c0a	c0a	X
ejpam-6581	127	40	n	n	CCONJ
ejpam-6581	127	41	,	,	PUNCT
ejpam-6581	127	42	g	g	PROPN
ejpam-6581	127	43	=	=	X
ejpam-6581	127	44	g0a	g0a	X
ejpam-6581	127	45	m	m	NOUN
ejpam-6581	127	46	,	,	PUNCT
ejpam-6581	127	47	n	n	CCONJ
ejpam-6581	127	48	,	,	PUNCT
ejpam-6581	127	49	m	m	PROPN
ejpam-6581	127	50	∈	∈	NOUN
ejpam-6581	127	51	r	r	NOUN
ejpam-6581	127	52	,	,	PUNCT
ejpam-6581	127	53	(	(	PUNCT
ejpam-6581	127	54	58	58	NUM
ejpam-6581	127	55	)	)	PUNCT
ejpam-6581	127	56	where	where	SCONJ
ejpam-6581	127	57	the	the	DET
ejpam-6581	127	58	system	system	NOUN
ejpam-6581	127	59	of	of	ADP
ejpam-6581	127	60	units	unit	NOUN
ejpam-6581	127	61	requires	require	VERB
ejpam-6581	127	62	8πg0	8πg0	NUM
ejpam-6581	128	1	=	=	SYM
ejpam-6581	128	2	c0	c0	X
ejpam-6581	128	3	2	2	NUM
ejpam-6581	128	4	=	=	SYM
ejpam-6581	128	5	1	1	NUM
ejpam-6581	128	6	.	.	PUNCT
ejpam-6581	129	1	in	in	ADP
ejpam-6581	129	2	this	this	DET
ejpam-6581	129	3	general	general	ADJ
ejpam-6581	129	4	case	case	NOUN
ejpam-6581	129	5	,	,	PUNCT
ejpam-6581	129	6	if	if	SCONJ
ejpam-6581	129	7	we	we	PRON
ejpam-6581	129	8	differentiate	differentiate	VERB
ejpam-6581	129	9	(	(	PUNCT
ejpam-6581	129	10	1	1	NUM
ejpam-6581	129	11	)	)	PUNCT
ejpam-6581	129	12	and	and	CCONJ
ejpam-6581	129	13	use	use	NOUN
ejpam-6581	129	14	(	(	PUNCT
ejpam-6581	129	15	2	2	NUM
ejpam-6581	129	16	)	)	PUNCT
ejpam-6581	129	17	,	,	PUNCT
ejpam-6581	129	18	we	we	PRON
ejpam-6581	129	19	obtain	obtain	VERB
ejpam-6581	129	20	the	the	DET
ejpam-6581	129	21	generalized	generalized	ADJ
ejpam-6581	129	22	conservation	conservation	NOUN
ejpam-6581	129	23	law	law	NOUN
ejpam-6581	129	24	,	,	PUNCT
ejpam-6581	129	25	ρ̇+	ρ̇+	PROPN
ejpam-6581	129	26	3γρ	3γρ	NOUN
ejpam-6581	129	27	ȧ	ȧ	PROPN
ejpam-6581	129	28	a	a	DET
ejpam-6581	129	29	=	=	ADJ
ejpam-6581	129	30	−ρ	−ρ	NOUN
ejpam-6581	129	31	ġ	ġ	NOUN
ejpam-6581	129	32	g	g	PROPN
ejpam-6581	129	33	+	+	PROPN
ejpam-6581	129	34	3k	3k	NUM
ejpam-6581	129	35	4πg	4πg	NOUN
ejpam-6581	129	36	cċ	cċ	PROPN
ejpam-6581	129	37	a2	a2	PROPN
ejpam-6581	129	38	.	.	PUNCT
ejpam-6581	130	1	(	(	PUNCT
ejpam-6581	130	2	59	59	NUM
ejpam-6581	130	3	)	)	PUNCT
ejpam-6581	130	4	setting	set	VERB
ejpam-6581	130	5	again	again	ADV
ejpam-6581	130	6	x	x	PUNCT
ejpam-6581	131	1	=	=	SYM
ejpam-6581	131	2	1	1	NUM
ejpam-6581	131	3	a	a	DET
ejpam-6581	131	4	and	and	CCONJ
ejpam-6581	131	5	h	h	NOUN
ejpam-6581	131	6	=	=	PROPN
ejpam-6581	131	7	ȧ	ȧ	PROPN
ejpam-6581	131	8	a	a	X
ejpam-6581	131	9	,	,	PUNCT
ejpam-6581	131	10	our	our	PRON
ejpam-6581	131	11	initial	initial	ADJ
ejpam-6581	131	12	system	system	NOUN
ejpam-6581	131	13	(	(	PUNCT
ejpam-6581	131	14	1	1	NUM
ejpam-6581	131	15	)	)	PUNCT
ejpam-6581	131	16	,	,	PUNCT
ejpam-6581	131	17	(	(	PUNCT
ejpam-6581	131	18	2	2	NUM
ejpam-6581	131	19	)	)	PUNCT
ejpam-6581	131	20	,	,	PUNCT
ejpam-6581	131	21	together	together	ADV
ejpam-6581	131	22	with	with	ADP
ejpam-6581	131	23	(	(	PUNCT
ejpam-6581	131	24	59	59	NUM
ejpam-6581	131	25	)	)	PUNCT
ejpam-6581	131	26	,	,	PUNCT
ejpam-6581	131	27	becomes	become	VERB
ejpam-6581	131	28	,	,	PUNCT
ejpam-6581	131	29	ẋ	ẋ	PUNCT
ejpam-6581	132	1	=	=	SYM
ejpam-6581	132	2	−xh	−xh	PROPN
ejpam-6581	132	3	,	,	PUNCT
ejpam-6581	132	4	(	(	PUNCT
ejpam-6581	132	5	60	60	NUM
ejpam-6581	132	6	)	)	PUNCT
ejpam-6581	132	7	ḣ	ḣ	NOUN
ejpam-6581	133	1	=	=	SYM
ejpam-6581	133	2	−h2	−h2	VERB
ejpam-6581	133	3	−	−	PROPN
ejpam-6581	133	4	3γ	3γ	NUM
ejpam-6581	133	5	−	−	PROPN
ejpam-6581	133	6	2	2	NUM
ejpam-6581	133	7	6	6	NUM
ejpam-6581	133	8	ρx−m	ρx−m	NOUN
ejpam-6581	133	9	,	,	PUNCT
ejpam-6581	133	10	(	(	PUNCT
ejpam-6581	133	11	61	61	NUM
ejpam-6581	133	12	)	)	PUNCT
ejpam-6581	134	1	ρ̇	ρ̇	NOUN
ejpam-6581	135	1	=	=	SYM
ejpam-6581	136	1	−(m+	−(m+	PROPN
ejpam-6581	137	1	3γ)ρh	3γ)ρh	NUM
ejpam-6581	138	1	+	+	NUM
ejpam-6581	139	1	6knxm+2−2nh	6knxm+2−2nh	NOUN
ejpam-6581	139	2	,	,	PUNCT
ejpam-6581	139	3	,	,	PUNCT
ejpam-6581	139	4	(	(	PUNCT
ejpam-6581	139	5	62	62	NUM
ejpam-6581	139	6	)	)	PUNCT
ejpam-6581	139	7	subject	subject	NOUN
ejpam-6581	139	8	to	to	ADP
ejpam-6581	139	9	the	the	DET
ejpam-6581	139	10	constraint	constraint	NOUN
ejpam-6581	139	11	,	,	PUNCT
ejpam-6581	139	12	h2	h2	PROPN
ejpam-6581	139	13	+	+	CCONJ
ejpam-6581	139	14	kx2−2n	kx2−2n	PROPN
ejpam-6581	139	15	=	=	SYM
ejpam-6581	139	16	1	1	NUM
ejpam-6581	139	17	3	3	NUM
ejpam-6581	139	18	ρx−m	ρx−m	NOUN
ejpam-6581	139	19	.	.	PUNCT
ejpam-6581	140	1	(	(	PUNCT
ejpam-6581	140	2	63	63	NUM
ejpam-6581	140	3	)	)	PUNCT
ejpam-6581	140	4	using	use	VERB
ejpam-6581	140	5	(	(	PUNCT
ejpam-6581	140	6	63	63	NUM
ejpam-6581	140	7	)	)	PUNCT
ejpam-6581	140	8	we	we	PRON
ejpam-6581	140	9	can	can	AUX
ejpam-6581	140	10	only	only	ADV
ejpam-6581	140	11	eliminate	eliminate	VERB
ejpam-6581	140	12	ρ	ρ	NOUN
ejpam-6581	140	13	and	and	CCONJ
ejpam-6581	140	14	get	get	VERB
ejpam-6581	140	15	a	a	DET
ejpam-6581	140	16	two	two	NUM
ejpam-6581	140	17	-	-	PUNCT
ejpam-6581	140	18	dimensional	dimensional	ADJ
ejpam-6581	140	19	system	system	NOUN
ejpam-6581	140	20	with	with	ADP
ejpam-6581	140	21	respect	respect	NOUN
ejpam-6581	140	22	to	to	ADP
ejpam-6581	140	23	(	(	PUNCT
ejpam-6581	140	24	x	x	NOUN
ejpam-6581	140	25	,	,	PUNCT
ejpam-6581	140	26	h	h	NOUN
ejpam-6581	140	27	)	)	PUNCT
ejpam-6581	140	28	.	.	PUNCT
ejpam-6581	141	1	the	the	DET
ejpam-6581	141	2	system	system	NOUN
ejpam-6581	141	3	that	that	PRON
ejpam-6581	141	4	we	we	PRON
ejpam-6581	141	5	find	find	VERB
ejpam-6581	141	6	is	be	AUX
ejpam-6581	141	7	,	,	PUNCT
ejpam-6581	141	8	ẋ	ẋ	PROPN
ejpam-6581	142	1	=	=	SYM
ejpam-6581	142	2	−xh	−xh	PROPN
ejpam-6581	142	3	,	,	PUNCT
ejpam-6581	142	4	ḣ	ḣ	NOUN
ejpam-6581	142	5	=	=	SYM
ejpam-6581	142	6	−3γ	−3γ	PROPN
ejpam-6581	142	7	2	2	NUM
ejpam-6581	142	8	h2	h2	NOUN
ejpam-6581	142	9	−	−	NOUN
ejpam-6581	142	10	3γ	3γ	NUM
ejpam-6581	142	11	−	−	PROPN
ejpam-6581	142	12	2	2	NUM
ejpam-6581	142	13	2	2	NUM
ejpam-6581	142	14	kx2−2n	kx2−2n	PROPN
ejpam-6581	142	15	.	.	PUNCT
ejpam-6581	143	1	(	(	PUNCT
ejpam-6581	143	2	64	64	NUM
ejpam-6581	143	3	)	)	PUNCT
ejpam-6581	143	4	notice	notice	VERB
ejpam-6581	143	5	that	that	SCONJ
ejpam-6581	143	6	the	the	DET
ejpam-6581	143	7	value	value	NOUN
ejpam-6581	143	8	of	of	ADP
ejpam-6581	143	9	m	m	PROPN
ejpam-6581	143	10	is	be	AUX
ejpam-6581	143	11	not	not	PART
ejpam-6581	143	12	present	present	ADJ
ejpam-6581	143	13	in	in	ADP
ejpam-6581	143	14	(	(	PUNCT
ejpam-6581	143	15	64	64	NUM
ejpam-6581	143	16	)	)	PUNCT
ejpam-6581	143	17	.	.	PUNCT
ejpam-6581	144	1	however	however	ADV
ejpam-6581	144	2	,	,	PUNCT
ejpam-6581	144	3	it	it	PRON
ejpam-6581	144	4	must	must	AUX
ejpam-6581	144	5	be	be	AUX
ejpam-6581	144	6	present	present	ADJ
ejpam-6581	144	7	in	in	ADP
ejpam-6581	144	8	the	the	DET
ejpam-6581	144	9	solution	solution	NOUN
ejpam-6581	144	10	of	of	ADP
ejpam-6581	144	11	ρ	ρ	PROPN
ejpam-6581	144	12	due	due	ADP
ejpam-6581	144	13	to	to	ADP
ejpam-6581	144	14	the	the	DET
ejpam-6581	144	15	constraint	constraint	NOUN
ejpam-6581	144	16	(	(	PUNCT
ejpam-6581	144	17	63	63	NUM
ejpam-6581	144	18	)	)	PUNCT
ejpam-6581	144	19	.	.	PUNCT
ejpam-6581	145	1	5	5	X
ejpam-6581	145	2	.	.	X
ejpam-6581	145	3	asymptotic	asymptotic	ADJ
ejpam-6581	145	4	forms	form	NOUN
ejpam-6581	145	5	with	with	ADP
ejpam-6581	145	6	varying	vary	VERB
ejpam-6581	145	7	g	g	NOUN
ejpam-6581	145	8	in	in	ADP
ejpam-6581	145	9	this	this	DET
ejpam-6581	145	10	section	section	NOUN
ejpam-6581	145	11	we	we	PRON
ejpam-6581	145	12	will	will	AUX
ejpam-6581	145	13	apply	apply	VERB
ejpam-6581	145	14	the	the	DET
ejpam-6581	145	15	method	method	NOUN
ejpam-6581	145	16	of	of	ADP
ejpam-6581	145	17	asymptotic	asymptotic	ADJ
ejpam-6581	145	18	splittings	splitting	NOUN
ejpam-6581	145	19	to	to	ADP
ejpam-6581	145	20	the	the	DET
ejpam-6581	145	21	system	system	NOUN
ejpam-6581	145	22	(	(	PUNCT
ejpam-6581	145	23	64	64	NUM
ejpam-6581	145	24	)	)	PUNCT
ejpam-6581	145	25	generated	generate	VERB
ejpam-6581	145	26	by	by	ADP
ejpam-6581	145	27	the	the	DET
ejpam-6581	145	28	friedman	friedman	PROPN
ejpam-6581	145	29	equations	equation	NOUN
ejpam-6581	145	30	with	with	ADP
ejpam-6581	145	31	a	a	DET
ejpam-6581	145	32	power	power	NOUN
ejpam-6581	145	33	-	-	PUNCT
ejpam-6581	145	34	law	law	NOUN
ejpam-6581	145	35	representation	representation	NOUN
ejpam-6581	145	36	of	of	ADP
ejpam-6581	145	37	c	c	PROPN
ejpam-6581	145	38	and	and	CCONJ
ejpam-6581	145	39	g.	g.	PROPN
ejpam-6581	145	40	there	there	PRON
ejpam-6581	145	41	are	be	VERB
ejpam-6581	145	42	three	three	NUM
ejpam-6581	145	43	different	different	ADJ
ejpam-6581	145	44	decomposed	decompose	VERB
ejpam-6581	145	45	systems	system	NOUN
ejpam-6581	145	46	to	to	PART
ejpam-6581	145	47	apply	apply	VERB
ejpam-6581	145	48	the	the	DET
ejpam-6581	145	49	method	method	NOUN
ejpam-6581	145	50	of	of	ADP
ejpam-6581	145	51	asymptotic	asymptotic	ADJ
ejpam-6581	145	52	splittings	splitting	NOUN
ejpam-6581	145	53	,	,	PUNCT
ejpam-6581	145	54	that	that	ADV
ejpam-6581	145	55	is	is	ADV
ejpam-6581	145	56	,	,	PUNCT
ejpam-6581	145	57	fgen(x	fgen(x	ADJ
ejpam-6581	145	58	)	)	PUNCT
ejpam-6581	145	59	=	=	SYM
ejpam-6581	145	60	f	f	PROPN
ejpam-6581	145	61	(	(	PUNCT
ejpam-6581	145	62	0	0	NUM
ejpam-6581	145	63	)	)	PUNCT
ejpam-6581	145	64	gen	gen	PROPN
ejpam-6581	145	65	,	,	PUNCT
ejpam-6581	145	66	j(x	j(x	PROPN
ejpam-6581	145	67	)	)	PUNCT
ejpam-6581	146	1	+	+	NUM
ejpam-6581	146	2	f	f	X
ejpam-6581	146	3	(	(	PUNCT
ejpam-6581	146	4	sub	sub	NOUN
ejpam-6581	146	5	)	)	PUNCT
ejpam-6581	146	6	gen	gen	PROPN
ejpam-6581	146	7	,	,	PUNCT
ejpam-6581	146	8	j	j	PROPN
ejpam-6581	146	9	(	(	PUNCT
ejpam-6581	146	10	x	x	NOUN
ejpam-6581	146	11	)	)	PUNCT
ejpam-6581	146	12	,	,	PUNCT
ejpam-6581	146	13	j	j	PROPN
ejpam-6581	146	14	=	=	SYM
ejpam-6581	146	15	1	1	NUM
ejpam-6581	146	16	,	,	PUNCT
ejpam-6581	146	17	2	2	NUM
ejpam-6581	146	18	,	,	PUNCT
ejpam-6581	146	19	3	3	NUM
ejpam-6581	146	20	,	,	PUNCT
ejpam-6581	146	21	(	(	PUNCT
ejpam-6581	146	22	65	65	NUM
ejpam-6581	146	23	)	)	PUNCT
ejpam-6581	146	24	d.	d.	NOUN
ejpam-6581	146	25	trachilis	trachilis	PROPN
ejpam-6581	146	26	/	/	SYM
ejpam-6581	146	27	eur	eur	PROPN
ejpam-6581	146	28	.	.	PUNCT
ejpam-6581	147	1	j.	j.	PROPN
ejpam-6581	147	2	pure	pure	PROPN
ejpam-6581	147	3	appl	appl	PROPN
ejpam-6581	147	4	.	.	PROPN
ejpam-6581	147	5	math	math	PROPN
ejpam-6581	147	6	,	,	PUNCT
ejpam-6581	147	7	18	18	NUM
ejpam-6581	147	8	(	(	PUNCT
ejpam-6581	147	9	3	3	NUM
ejpam-6581	147	10	)	)	PUNCT
ejpam-6581	147	11	(	(	PUNCT
ejpam-6581	147	12	2025	2025	NUM
ejpam-6581	147	13	)	)	PUNCT
ejpam-6581	147	14	,	,	PUNCT
ejpam-6581	147	15	6581	6581	NUM
ejpam-6581	147	16	9	9	NUM
ejpam-6581	147	17	of	of	ADP
ejpam-6581	147	18	12	12	NUM
ejpam-6581	147	19	where	where	SCONJ
ejpam-6581	147	20	,	,	PUNCT
ejpam-6581	147	21	f	f	PROPN
ejpam-6581	147	22	(	(	PUNCT
ejpam-6581	147	23	0	0	NUM
ejpam-6581	147	24	)	)	PUNCT
ejpam-6581	147	25	gen,1(x	gen,1(x	NOUN
ejpam-6581	147	26	)	)	PUNCT
ejpam-6581	147	27	=	=	PRON
ejpam-6581	148	1	(	(	PUNCT
ejpam-6581	148	2	−	−	PROPN
ejpam-6581	148	3	xh,−3γ	xh,−3γ	NUM
ejpam-6581	148	4	2	2	NUM
ejpam-6581	148	5	h2	h2	NOUN
ejpam-6581	148	6	)	)	PUNCT
ejpam-6581	148	7	,	,	PUNCT
ejpam-6581	148	8	(	(	PUNCT
ejpam-6581	148	9	66	66	NUM
ejpam-6581	148	10	)	)	PUNCT
ejpam-6581	148	11	f	f	NOUN
ejpam-6581	148	12	(	(	PUNCT
ejpam-6581	148	13	0	0	NUM
ejpam-6581	148	14	)	)	PUNCT
ejpam-6581	148	15	gen,2(x	gen,2(x	NOUN
ejpam-6581	148	16	)	)	PUNCT
ejpam-6581	149	1	=	=	PRON
ejpam-6581	149	2	(	(	PUNCT
ejpam-6581	149	3	−	−	PROPN
ejpam-6581	149	4	xh,−3γ	xh,−3γ	PROPN
ejpam-6581	149	5	−	−	NUM
ejpam-6581	149	6	2	2	NUM
ejpam-6581	149	7	2	2	NUM
ejpam-6581	149	8	kx2−2n	kx2−2n	PROPN
ejpam-6581	149	9	)	)	PUNCT
ejpam-6581	149	10	,	,	PUNCT
ejpam-6581	149	11	(	(	PUNCT
ejpam-6581	149	12	67	67	NUM
ejpam-6581	149	13	)	)	PUNCT
ejpam-6581	149	14	f	f	NOUN
ejpam-6581	149	15	(	(	PUNCT
ejpam-6581	149	16	0	0	NUM
ejpam-6581	149	17	)	)	PUNCT
ejpam-6581	149	18	gen,3(x	gen,3(x	NOUN
ejpam-6581	149	19	)	)	PUNCT
ejpam-6581	149	20	=	=	SYM
ejpam-6581	149	21	(	(	PUNCT
ejpam-6581	149	22	−	−	PROPN
ejpam-6581	149	23	xh,−3γ	xh,−3γ	NUM
ejpam-6581	149	24	2	2	NUM
ejpam-6581	149	25	h2	h2	NOUN
ejpam-6581	149	26	−	−	PROPN
ejpam-6581	149	27	3γ	3γ	NUM
ejpam-6581	149	28	−	−	NOUN
ejpam-6581	149	29	2	2	NUM
ejpam-6581	149	30	2	2	NUM
ejpam-6581	149	31	kx2−2n	kx2−2n	PROPN
ejpam-6581	149	32	)	)	PUNCT
ejpam-6581	149	33	,	,	PUNCT
ejpam-6581	149	34	(	(	PUNCT
ejpam-6581	149	35	68	68	NUM
ejpam-6581	149	36	)	)	PUNCT
ejpam-6581	149	37	and	and	CCONJ
ejpam-6581	149	38	,	,	PUNCT
ejpam-6581	149	39	f	f	PROPN
ejpam-6581	149	40	(	(	PUNCT
ejpam-6581	149	41	sub	sub	NOUN
ejpam-6581	149	42	)	)	PUNCT
ejpam-6581	149	43	gen,1(x	gen,1(x	NOUN
ejpam-6581	149	44	)	)	PUNCT
ejpam-6581	149	45	=	=	PRON
ejpam-6581	149	46	(	(	PUNCT
ejpam-6581	149	47	0,−3γ	0,−3γ	NUM
ejpam-6581	149	48	−	−	NUM
ejpam-6581	149	49	2	2	NUM
ejpam-6581	149	50	2	2	NUM
ejpam-6581	149	51	kx2−2n	kx2−2n	PROPN
ejpam-6581	149	52	)	)	PUNCT
ejpam-6581	149	53	,	,	PUNCT
ejpam-6581	149	54	(	(	PUNCT
ejpam-6581	149	55	69	69	NUM
ejpam-6581	149	56	)	)	PUNCT
ejpam-6581	149	57	f	f	NOUN
ejpam-6581	149	58	(	(	PUNCT
ejpam-6581	149	59	sub	sub	NOUN
ejpam-6581	149	60	)	)	PUNCT
ejpam-6581	149	61	gen,2(x	gen,2(x	NOUN
ejpam-6581	149	62	)	)	PUNCT
ejpam-6581	149	63	=	=	SYM
ejpam-6581	150	1	(	(	PUNCT
ejpam-6581	150	2	0,−3γ	0,−3γ	NUM
ejpam-6581	150	3	2	2	NUM
ejpam-6581	150	4	h2	h2	NOUN
ejpam-6581	150	5	)	)	PUNCT
ejpam-6581	150	6	,	,	PUNCT
ejpam-6581	150	7	(	(	PUNCT
ejpam-6581	150	8	70	70	X
ejpam-6581	150	9	)	)	PUNCT
ejpam-6581	150	10	f	f	NOUN
ejpam-6581	150	11	(	(	PUNCT
ejpam-6581	150	12	sub	sub	NOUN
ejpam-6581	150	13	)	)	PUNCT
ejpam-6581	150	14	gen,3(x	gen,3(x	NOUN
ejpam-6581	150	15	)	)	PUNCT
ejpam-6581	150	16	=	=	SYM
ejpam-6581	150	17	(	(	PUNCT
ejpam-6581	150	18	0	0	NUM
ejpam-6581	150	19	,	,	PUNCT
ejpam-6581	150	20	0	0	NUM
ejpam-6581	150	21	)	)	PUNCT
ejpam-6581	150	22	,	,	PUNCT
ejpam-6581	150	23	(	(	PUNCT
ejpam-6581	150	24	71	71	NUM
ejpam-6581	150	25	)	)	PUNCT
ejpam-6581	150	26	the	the	DET
ejpam-6581	150	27	second	second	ADJ
ejpam-6581	150	28	decomposition	decomposition	NOUN
ejpam-6581	150	29	(	(	PUNCT
ejpam-6581	150	30	67	67	NUM
ejpam-6581	150	31	)	)	PUNCT
ejpam-6581	150	32	does	do	AUX
ejpam-6581	150	33	not	not	PART
ejpam-6581	150	34	give	give	VERB
ejpam-6581	150	35	any	any	DET
ejpam-6581	150	36	asymptotic	asymptotic	ADJ
ejpam-6581	150	37	solution	solution	NOUN
ejpam-6581	150	38	to	to	ADP
ejpam-6581	150	39	the	the	DET
ejpam-6581	150	40	problem	problem	NOUN
ejpam-6581	150	41	,	,	PUNCT
ejpam-6581	150	42	because	because	SCONJ
ejpam-6581	150	43	the	the	DET
ejpam-6581	150	44	compatibility	compatibility	NOUN
ejpam-6581	150	45	condition	condition	NOUN
ejpam-6581	150	46	(	(	PUNCT
ejpam-6581	150	47	25	25	NUM
ejpam-6581	150	48	)	)	PUNCT
ejpam-6581	150	49	is	be	AUX
ejpam-6581	150	50	not	not	PART
ejpam-6581	150	51	valid	valid	ADJ
ejpam-6581	150	52	in	in	ADP
ejpam-6581	150	53	this	this	DET
ejpam-6581	150	54	case	case	NOUN
ejpam-6581	150	55	.	.	PUNCT
ejpam-6581	151	1	however	however	ADV
ejpam-6581	151	2	,	,	PUNCT
ejpam-6581	151	3	the	the	DET
ejpam-6581	151	4	first	first	ADJ
ejpam-6581	151	5	decomposition	decomposition	NOUN
ejpam-6581	151	6	and	and	CCONJ
ejpam-6581	151	7	the	the	DET
ejpam-6581	151	8	all	all	DET
ejpam-6581	151	9	-	-	PUNCT
ejpam-6581	151	10	terms	term	NOUN
ejpam-6581	151	11	dominant	dominant	ADJ
ejpam-6581	151	12	case	case	NOUN
ejpam-6581	151	13	provide	provide	VERB
ejpam-6581	151	14	the	the	DET
ejpam-6581	151	15	following	follow	VERB
ejpam-6581	151	16	admissible	admissible	ADJ
ejpam-6581	151	17	asymptotic	asymptotic	ADJ
ejpam-6581	151	18	solution	solution	NOUN
ejpam-6581	151	19	of	of	ADP
ejpam-6581	151	20	the	the	DET
ejpam-6581	151	21	system	system	NOUN
ejpam-6581	151	22	(	(	PUNCT
ejpam-6581	151	23	64	64	NUM
ejpam-6581	151	24	)	)	PUNCT
ejpam-6581	151	25	near	near	ADP
ejpam-6581	151	26	the	the	DET
ejpam-6581	151	27	initial	initial	ADJ
ejpam-6581	151	28	singularity	singularity	NOUN
ejpam-6581	151	29	,	,	PUNCT
ejpam-6581	151	30	h	h	NOUN
ejpam-6581	151	31	=	=	SYM
ejpam-6581	151	32	2	2	NUM
ejpam-6581	151	33	3γ	3γ	NUM
ejpam-6581	151	34	t−1	t−1	PROPN
ejpam-6581	151	35	,	,	PUNCT
ejpam-6581	151	36	x	x	PUNCT
ejpam-6581	152	1	=	=	PUNCT
ejpam-6581	152	2	c11	c11	NOUN
ejpam-6581	152	3	t	t	NOUN
ejpam-6581	152	4	−	−	NUM
ejpam-6581	152	5	2	2	NUM
ejpam-6581	152	6	3γ	3γ	NUM
ejpam-6581	152	7	,	,	PUNCT
ejpam-6581	152	8	where	where	SCONJ
ejpam-6581	152	9	c11	c11	NOUN
ejpam-6581	152	10	̸=	̸=	PROPN
ejpam-6581	152	11	0,m	0,m	NOUN
ejpam-6581	152	12	∈	∈	PROPN
ejpam-6581	152	13	r	r	NOUN
ejpam-6581	152	14	,	,	PUNCT
ejpam-6581	152	15	n	n	X
ejpam-6581	152	16	<	<	X
ejpam-6581	152	17	1	1	NUM
ejpam-6581	152	18	,	,	PUNCT
ejpam-6581	152	19	with	with	ADP
ejpam-6581	152	20	(	(	PUNCT
ejpam-6581	152	21	k	k	NOUN
ejpam-6581	152	22	=	=	SYM
ejpam-6581	152	23	0	0	PROPN
ejpam-6581	152	24	,	,	PUNCT
ejpam-6581	152	25	γ	γ	X
ejpam-6581	152	26	̸=	̸=	PROPN
ejpam-6581	152	27	0	0	NUM
ejpam-6581	152	28	)	)	PUNCT
ejpam-6581	152	29	or	or	CCONJ
ejpam-6581	152	30	(	(	PUNCT
ejpam-6581	152	31	k	k	NOUN
ejpam-6581	152	32	=	=	SYM
ejpam-6581	152	33	0,±1	0,±1	PROPN
ejpam-6581	152	34	,	,	PUNCT
ejpam-6581	152	35	γ	γ	X
ejpam-6581	152	36	=	=	SYM
ejpam-6581	152	37	2	2	NUM
ejpam-6581	152	38	3	3	NUM
ejpam-6581	152	39	)	)	PUNCT
ejpam-6581	152	40	,	,	PUNCT
ejpam-6581	152	41	(	(	PUNCT
ejpam-6581	152	42	72	72	NUM
ejpam-6581	152	43	)	)	PUNCT
ejpam-6581	152	44	in	in	ADP
ejpam-6581	152	45	fact	fact	NOUN
ejpam-6581	152	46	,	,	PUNCT
ejpam-6581	152	47	solution	solution	NOUN
ejpam-6581	152	48	(	(	PUNCT
ejpam-6581	152	49	72	72	NUM
ejpam-6581	152	50	)	)	PUNCT
ejpam-6581	152	51	appears	appear	VERB
ejpam-6581	152	52	on	on	ADP
ejpam-6581	152	53	both	both	CCONJ
ejpam-6581	152	54	first	first	ADJ
ejpam-6581	152	55	and	and	CCONJ
ejpam-6581	152	56	all	all	DET
ejpam-6581	152	57	-	-	PUNCT
ejpam-6581	152	58	terms	term	NOUN
ejpam-6581	152	59	dominant	dominant	ADJ
ejpam-6581	152	60	decompositions	decomposition	NOUN
ejpam-6581	152	61	.	.	PUNCT
ejpam-6581	153	1	this	this	DET
ejpam-6581	153	2	solution	solution	NOUN
ejpam-6581	153	3	for	for	ADP
ejpam-6581	153	4	h	h	NOUN
ejpam-6581	153	5	and	and	CCONJ
ejpam-6581	153	6	x	x	PRON
ejpam-6581	153	7	belongs	belong	VERB
ejpam-6581	153	8	to	to	ADP
ejpam-6581	153	9	the	the	DET
ejpam-6581	153	10	phase	phase	NOUN
ejpam-6581	153	11	space	space	NOUN
ejpam-6581	153	12	of	of	ADP
ejpam-6581	153	13	the	the	DET
ejpam-6581	153	14	system	system	NOUN
ejpam-6581	153	15	given	give	VERB
ejpam-6581	153	16	in(64	in(64	NOUN
ejpam-6581	153	17	)	)	PUNCT
ejpam-6581	153	18	,	,	PUNCT
ejpam-6581	153	19	which	which	PRON
ejpam-6581	153	20	is	be	AUX
ejpam-6581	153	21	the	the	DET
ejpam-6581	153	22	set	set	NOUN
ejpam-6581	153	23	{	{	PUNCT
ejpam-6581	153	24	(	(	PUNCT
ejpam-6581	153	25	x	x	NOUN
ejpam-6581	153	26	,	,	PUNCT
ejpam-6581	153	27	h	h	NOUN
ejpam-6581	153	28	)	)	PUNCT
ejpam-6581	153	29	∈	∈	PROPN
ejpam-6581	153	30	r2	r2	NOUN
ejpam-6581	153	31	:	:	PUNCT
ejpam-6581	153	32	x	x	X
ejpam-6581	153	33	≥	≥	NOUN
ejpam-6581	153	34	0	0	NUM
ejpam-6581	153	35	,	,	PUNCT
ejpam-6581	153	36	h2	h2	PROPN
ejpam-6581	153	37	+	+	CCONJ
ejpam-6581	153	38	kx2−2n	kx2−2n	PROPN
ejpam-6581	153	39	>	>	X
ejpam-6581	153	40	0	0	NUM
ejpam-6581	153	41	}	}	PUNCT
ejpam-6581	153	42	.	.	PUNCT
ejpam-6581	154	1	taking	take	VERB
ejpam-6581	154	2	further	far	ADV
ejpam-6581	154	3	into	into	ADP
ejpam-6581	154	4	account	account	NOUN
ejpam-6581	154	5	the	the	DET
ejpam-6581	154	6	constraint	constraint	NOUN
ejpam-6581	154	7	(	(	PUNCT
ejpam-6581	154	8	63	63	NUM
ejpam-6581	154	9	)	)	PUNCT
ejpam-6581	154	10	,	,	PUNCT
ejpam-6581	154	11	which	which	PRON
ejpam-6581	154	12	represents	represent	VERB
ejpam-6581	154	13	the	the	DET
ejpam-6581	154	14	first	first	ADJ
ejpam-6581	154	15	friedman	friedman	NOUN
ejpam-6581	154	16	equation	equation	NOUN
ejpam-6581	154	17	(	(	PUNCT
ejpam-6581	154	18	1	1	NUM
ejpam-6581	154	19	)	)	PUNCT
ejpam-6581	154	20	,	,	PUNCT
ejpam-6581	154	21	we	we	PRON
ejpam-6581	154	22	can	can	AUX
ejpam-6581	154	23	have	have	VERB
ejpam-6581	154	24	the	the	DET
ejpam-6581	154	25	asymptotic	asymptotic	ADJ
ejpam-6581	154	26	solutions	solution	NOUN
ejpam-6581	154	27	for	for	ADP
ejpam-6581	154	28	h	h	NOUN
ejpam-6581	154	29	and	and	CCONJ
ejpam-6581	154	30	ρ	ρ	NOUN
ejpam-6581	154	31	.	.	PUNCT
ejpam-6581	155	1	in	in	ADP
ejpam-6581	155	2	particular	particular	ADJ
ejpam-6581	155	3	,	,	PUNCT
ejpam-6581	155	4	the	the	DET
ejpam-6581	155	5	solution	solution	NOUN
ejpam-6581	155	6	found	find	VERB
ejpam-6581	155	7	in	in	ADP
ejpam-6581	155	8	(	(	PUNCT
ejpam-6581	155	9	72	72	NUM
ejpam-6581	155	10	)	)	PUNCT
ejpam-6581	155	11	imply	imply	NOUN
ejpam-6581	155	12	,	,	PUNCT
ejpam-6581	155	13	h	h	NOUN
ejpam-6581	155	14	=	=	SYM
ejpam-6581	155	15	2	2	NUM
ejpam-6581	155	16	3γ	3γ	NUM
ejpam-6581	155	17	t−1	t−1	PROPN
ejpam-6581	155	18	,	,	PUNCT
ejpam-6581	155	19	ρ	ρ	PROPN
ejpam-6581	155	20	=	=	SYM
ejpam-6581	155	21	4	4	NUM
ejpam-6581	155	22	3γ2	3γ2	NUM
ejpam-6581	156	1	cm11	cm11	PROPN
ejpam-6581	156	2	t	t	PROPN
ejpam-6581	156	3	−2−	−2−	NUM
ejpam-6581	156	4	2	2	NUM
ejpam-6581	156	5	m	m	NOUN
ejpam-6581	156	6	3γ	3γ	NUM
ejpam-6581	156	7	+	+	CCONJ
ejpam-6581	156	8	3kc2+m−2n	3kc2+m−2n	PROPN
ejpam-6581	156	9	11	11	NUM
ejpam-6581	156	10	t	t	PROPN
ejpam-6581	156	11	4−4n	4−4n	NUM
ejpam-6581	156	12	3γ	3γ	NUM
ejpam-6581	156	13	−	−	PROPN
ejpam-6581	156	14	2	2	NUM
ejpam-6581	156	15	m	m	NOUN
ejpam-6581	156	16	3γ	3γ	NUM
ejpam-6581	156	17	,	,	PUNCT
ejpam-6581	156	18	c11	c11	NOUN
ejpam-6581	156	19	̸=	̸=	PROPN
ejpam-6581	156	20	0,m	0,m	NOUN
ejpam-6581	157	1	∈	∈	PROPN
ejpam-6581	157	2	r	r	NOUN
ejpam-6581	157	3	,	,	PUNCT
ejpam-6581	157	4	n	n	X
ejpam-6581	157	5	<	<	X
ejpam-6581	157	6	1	1	NUM
ejpam-6581	157	7	,	,	PUNCT
ejpam-6581	157	8	with	with	ADP
ejpam-6581	157	9	(	(	PUNCT
ejpam-6581	157	10	k	k	NOUN
ejpam-6581	157	11	=	=	SYM
ejpam-6581	157	12	0	0	PROPN
ejpam-6581	157	13	,	,	PUNCT
ejpam-6581	157	14	γ	γ	X
ejpam-6581	157	15	̸=	̸=	PROPN
ejpam-6581	157	16	0	0	NUM
ejpam-6581	157	17	)	)	PUNCT
ejpam-6581	157	18	or	or	CCONJ
ejpam-6581	157	19	(	(	PUNCT
ejpam-6581	157	20	k	k	NOUN
ejpam-6581	157	21	=	=	SYM
ejpam-6581	157	22	0,±1	0,±1	PROPN
ejpam-6581	157	23	,	,	PUNCT
ejpam-6581	157	24	γ	γ	X
ejpam-6581	157	25	=	=	SYM
ejpam-6581	157	26	2	2	NUM
ejpam-6581	157	27	3	3	NUM
ejpam-6581	157	28	)	)	PUNCT
ejpam-6581	157	29	,	,	PUNCT
ejpam-6581	157	30	(	(	PUNCT
ejpam-6581	157	31	73	73	NUM
ejpam-6581	157	32	)	)	PUNCT
ejpam-6581	157	33	it	it	PRON
ejpam-6581	157	34	is	be	AUX
ejpam-6581	157	35	interesting	interesting	ADJ
ejpam-6581	157	36	to	to	PART
ejpam-6581	157	37	mention	mention	VERB
ejpam-6581	157	38	that	that	SCONJ
ejpam-6581	157	39	the	the	DET
ejpam-6581	157	40	analysis	analysis	NOUN
ejpam-6581	157	41	we	we	PRON
ejpam-6581	157	42	presented	present	VERB
ejpam-6581	157	43	for	for	ADP
ejpam-6581	157	44	the	the	DET
ejpam-6581	157	45	varying	vary	VERB
ejpam-6581	157	46	g	g	NOUN
ejpam-6581	157	47	case	case	NOUN
ejpam-6581	157	48	can	can	AUX
ejpam-6581	157	49	also	also	ADV
ejpam-6581	157	50	be	be	AUX
ejpam-6581	157	51	used	use	VERB
ejpam-6581	157	52	for	for	ADP
ejpam-6581	157	53	the	the	DET
ejpam-6581	157	54	special	special	ADJ
ejpam-6581	157	55	case	case	NOUN
ejpam-6581	157	56	(	(	PUNCT
ejpam-6581	157	57	n	n	NOUN
ejpam-6581	157	58	=	=	SYM
ejpam-6581	157	59	0,m	0,m	NOUN
ejpam-6581	157	60	∈	∈	PROPN
ejpam-6581	157	61	r	r	NOUN
ejpam-6581	157	62	)	)	PUNCT
ejpam-6581	157	63	.	.	PUNCT
ejpam-6581	158	1	taking	take	VERB
ejpam-6581	158	2	into	into	ADP
ejpam-6581	158	3	account	account	PROPN
ejpam-6581	158	4	einstein	einstein	PROPN
ejpam-6581	158	5	’s	’s	PART
ejpam-6581	158	6	field	field	NOUN
ejpam-6581	158	7	equation	equation	NOUN
ejpam-6581	158	8	,	,	PUNCT
ejpam-6581	158	9	rij	rij	ADJ
ejpam-6581	158	10	−	−	PROPN
ejpam-6581	158	11	1	1	NUM
ejpam-6581	158	12	2	2	NUM
ejpam-6581	158	13	gijr	gijr	NOUN
ejpam-6581	158	14	=	=	SYM
ejpam-6581	158	15	8πg	8πg	ADJ
ejpam-6581	158	16	c4	c4	NOUN
ejpam-6581	158	17	tij	tij	PROPN
ejpam-6581	158	18	(	(	PUNCT
ejpam-6581	158	19	74	74	NUM
ejpam-6581	158	20	)	)	PUNCT
ejpam-6581	158	21	and	and	CCONJ
ejpam-6581	158	22	(	(	PUNCT
ejpam-6581	158	23	58	58	NUM
ejpam-6581	158	24	)	)	PUNCT
ejpam-6581	158	25	,	,	PUNCT
ejpam-6581	158	26	the	the	DET
ejpam-6581	158	27	choice	choice	NOUN
ejpam-6581	158	28	to	to	PART
ejpam-6581	158	29	keep	keep	VERB
ejpam-6581	158	30	g	g	NOUN
ejpam-6581	158	31	constant	constant	ADJ
ejpam-6581	158	32	as	as	SCONJ
ejpam-6581	158	33	c	c	NOUN
ejpam-6581	158	34	varies	vary	VERB
ejpam-6581	158	35	or	or	CCONJ
ejpam-6581	158	36	to	to	PART
ejpam-6581	158	37	keep	keep	VERB
ejpam-6581	158	38	c	c	NOUN
ejpam-6581	158	39	constant	constant	ADJ
ejpam-6581	158	40	as	as	SCONJ
ejpam-6581	158	41	g	g	NOUN
ejpam-6581	158	42	varies	vary	VERB
ejpam-6581	158	43	can	can	AUX
ejpam-6581	158	44	be	be	AUX
ejpam-6581	158	45	considered	consider	VERB
ejpam-6581	158	46	equivalent	equivalent	ADJ
ejpam-6581	158	47	.	.	PUNCT
ejpam-6581	159	1	in	in	ADP
ejpam-6581	159	2	both	both	DET
ejpam-6581	159	3	cases	case	NOUN
ejpam-6581	159	4	the	the	DET
ejpam-6581	159	5	ratio	ratio	NOUN
ejpam-6581	159	6	8πg	8πg	ADJ
ejpam-6581	159	7	c4	c4	NOUN
ejpam-6581	159	8	takes	take	VERB
ejpam-6581	159	9	the	the	DET
ejpam-6581	159	10	form	form	NOUN
ejpam-6581	159	11	aν	aν	NOUN
ejpam-6581	159	12	=	=	PUNCT
ejpam-6581	159	13	am−4n	am−4n	PROPN
ejpam-6581	159	14	.	.	PUNCT
ejpam-6581	160	1	of	of	ADP
ejpam-6581	160	2	course	course	ADV
ejpam-6581	160	3	,	,	PUNCT
ejpam-6581	160	4	d.	d.	PROPN
ejpam-6581	160	5	trachilis	trachilis	PROPN
ejpam-6581	160	6	/	/	SYM
ejpam-6581	160	7	eur	eur	PROPN
ejpam-6581	160	8	.	.	PUNCT
ejpam-6581	161	1	j.	j.	PROPN
ejpam-6581	161	2	pure	pure	PROPN
ejpam-6581	161	3	appl	appl	PROPN
ejpam-6581	161	4	.	.	PROPN
ejpam-6581	161	5	math	math	PROPN
ejpam-6581	161	6	,	,	PUNCT
ejpam-6581	161	7	18	18	NUM
ejpam-6581	161	8	(	(	PUNCT
ejpam-6581	161	9	3	3	NUM
ejpam-6581	161	10	)	)	PUNCT
ejpam-6581	161	11	(	(	PUNCT
ejpam-6581	161	12	2025	2025	NUM
ejpam-6581	161	13	)	)	PUNCT
ejpam-6581	161	14	,	,	PUNCT
ejpam-6581	161	15	6581	6581	NUM
ejpam-6581	161	16	10	10	NUM
ejpam-6581	161	17	of	of	ADP
ejpam-6581	161	18	12	12	NUM
ejpam-6581	161	19	the	the	DET
ejpam-6581	161	20	two	two	NUM
ejpam-6581	161	21	friedman	friedman	PROPN
ejpam-6581	161	22	equations	equation	NOUN
ejpam-6581	161	23	(	(	PUNCT
ejpam-6581	161	24	1	1	NUM
ejpam-6581	161	25	)	)	PUNCT
ejpam-6581	161	26	and	and	CCONJ
ejpam-6581	161	27	(	(	PUNCT
ejpam-6581	161	28	2	2	X
ejpam-6581	161	29	)	)	PUNCT
ejpam-6581	161	30	lead	lead	NOUN
ejpam-6581	161	31	to	to	ADP
ejpam-6581	161	32	a	a	DET
ejpam-6581	161	33	different	different	ADJ
ejpam-6581	161	34	physical	physical	ADJ
ejpam-6581	161	35	meaning	meaning	NOUN
ejpam-6581	161	36	,	,	PUNCT
ejpam-6581	161	37	because	because	SCONJ
ejpam-6581	161	38	c	c	PROPN
ejpam-6581	161	39	is	be	AUX
ejpam-6581	161	40	multiplying	multiply	VERB
ejpam-6581	161	41	the	the	DET
ejpam-6581	161	42	scale	scale	NOUN
ejpam-6581	161	43	factor	factor	NOUN
ejpam-6581	161	44	term	term	NOUN
ejpam-6581	161	45	a−2	a−2	PROPN
ejpam-6581	161	46	while	while	SCONJ
ejpam-6581	161	47	g	g	PROPN
ejpam-6581	161	48	is	be	AUX
ejpam-6581	161	49	multiplying	multiply	VERB
ejpam-6581	161	50	the	the	DET
ejpam-6581	161	51	density	density	NOUN
ejpam-6581	161	52	term	term	NOUN
ejpam-6581	161	53	ρ	ρ	PROPN
ejpam-6581	161	54	.	.	PUNCT
ejpam-6581	161	55	returning	return	VERB
ejpam-6581	161	56	back	back	ADV
ejpam-6581	161	57	to	to	ADP
ejpam-6581	161	58	our	our	PRON
ejpam-6581	161	59	solutions	solution	NOUN
ejpam-6581	161	60	,	,	PUNCT
ejpam-6581	161	61	if	if	SCONJ
ejpam-6581	161	62	n	n	CCONJ
ejpam-6581	161	63	=	=	SYM
ejpam-6581	161	64	0	0	NUM
ejpam-6581	161	65	and	and	CCONJ
ejpam-6581	161	66	m	m	PROPN
ejpam-6581	161	67	̸=	̸=	PROPN
ejpam-6581	161	68	0	0	NUM
ejpam-6581	161	69	,	,	PUNCT
ejpam-6581	161	70	the	the	DET
ejpam-6581	161	71	right	right	ADJ
ejpam-6581	161	72	-	-	PUNCT
ejpam-6581	161	73	hand	hand	NOUN
ejpam-6581	161	74	sides	side	NOUN
ejpam-6581	161	75	of	of	ADP
ejpam-6581	161	76	the	the	DET
ejpam-6581	161	77	friedman	friedman	PROPN
ejpam-6581	161	78	equations	equation	NOUN
ejpam-6581	161	79	,	,	PUNCT
ejpam-6581	161	80	that	that	SCONJ
ejpam-6581	161	81	we	we	PRON
ejpam-6581	161	82	started	start	VERB
ejpam-6581	161	83	with	with	ADP
ejpam-6581	161	84	,	,	PUNCT
ejpam-6581	161	85	do	do	AUX
ejpam-6581	161	86	not	not	PART
ejpam-6581	161	87	depend	depend	VERB
ejpam-6581	161	88	only	only	ADV
ejpam-6581	161	89	on	on	ADP
ejpam-6581	161	90	the	the	DET
ejpam-6581	161	91	variation	variation	NOUN
ejpam-6581	161	92	of	of	ADP
ejpam-6581	161	93	a	a	PRON
ejpam-6581	161	94	and	and	CCONJ
ejpam-6581	161	95	ρ	ρ	NOUN
ejpam-6581	161	96	,	,	PUNCT
ejpam-6581	161	97	but	but	CCONJ
ejpam-6581	161	98	they	they	PRON
ejpam-6581	161	99	depend	depend	VERB
ejpam-6581	161	100	on	on	ADP
ejpam-6581	161	101	the	the	DET
ejpam-6581	161	102	variation	variation	NOUN
ejpam-6581	161	103	of	of	ADP
ejpam-6581	161	104	g	g	PROPN
ejpam-6581	161	105	as	as	ADV
ejpam-6581	161	106	well	well	ADV
ejpam-6581	161	107	,	,	PUNCT
ejpam-6581	161	108	and	and	CCONJ
ejpam-6581	161	109	it	it	PRON
ejpam-6581	161	110	is	be	AUX
ejpam-6581	161	111	clear	clear	ADJ
ejpam-6581	161	112	that	that	SCONJ
ejpam-6581	161	113	the	the	DET
ejpam-6581	161	114	solution	solution	NOUN
ejpam-6581	161	115	(	(	PUNCT
ejpam-6581	161	116	72	72	NUM
ejpam-6581	161	117	)	)	PUNCT
ejpam-6581	161	118	will	will	AUX
ejpam-6581	161	119	remain	remain	VERB
ejpam-6581	161	120	invariant	invariant	ADJ
ejpam-6581	161	121	under	under	ADP
ejpam-6581	161	122	n	n	NOUN
ejpam-6581	161	123	=	=	SYM
ejpam-6581	161	124	0	0	PUNCT
ejpam-6581	162	1	(	(	PUNCT
ejpam-6581	162	2	n	n	PRON
ejpam-6581	162	3	can	can	AUX
ejpam-6581	162	4	be	be	AUX
ejpam-6581	162	5	any	any	DET
ejpam-6581	162	6	number	number	NOUN
ejpam-6581	162	7	less	less	ADJ
ejpam-6581	162	8	than	than	ADP
ejpam-6581	162	9	1	1	NUM
ejpam-6581	162	10	)	)	PUNCT
ejpam-6581	162	11	,	,	PUNCT
ejpam-6581	162	12	while	while	SCONJ
ejpam-6581	162	13	(	(	PUNCT
ejpam-6581	162	14	73	73	NUM
ejpam-6581	162	15	)	)	PUNCT
ejpam-6581	162	16	will	will	AUX
ejpam-6581	162	17	give	give	VERB
ejpam-6581	162	18	,	,	PUNCT
ejpam-6581	162	19	h	h	NOUN
ejpam-6581	162	20	=	=	SYM
ejpam-6581	162	21	2	2	NUM
ejpam-6581	162	22	3γ	3γ	NUM
ejpam-6581	162	23	t−1	t−1	PROPN
ejpam-6581	162	24	,	,	PUNCT
ejpam-6581	162	25	ρ	ρ	PROPN
ejpam-6581	162	26	=	=	SYM
ejpam-6581	162	27	4	4	NUM
ejpam-6581	162	28	3γ2	3γ2	NUM
ejpam-6581	162	29	cm11	cm11	PROPN
ejpam-6581	162	30	t	t	PROPN
ejpam-6581	163	1	−2−	−2−	NUM
ejpam-6581	163	2	2	2	NUM
ejpam-6581	163	3	m	m	NOUN
ejpam-6581	163	4	3γ	3γ	NUM
ejpam-6581	163	5	+	+	CCONJ
ejpam-6581	163	6	3kc2+m	3kc2+m	NUM
ejpam-6581	163	7	11	11	NUM
ejpam-6581	163	8	t	t	NOUN
ejpam-6581	163	9	4	4	NUM
ejpam-6581	163	10	3γ	3γ	NUM
ejpam-6581	163	11	−	−	PROPN
ejpam-6581	163	12	2	2	NUM
ejpam-6581	163	13	m	m	NOUN
ejpam-6581	163	14	3γ	3γ	NUM
ejpam-6581	163	15	,	,	PUNCT
ejpam-6581	163	16	c11	c11	NOUN
ejpam-6581	163	17	̸=	̸=	PROPN
ejpam-6581	163	18	0,m	0,m	NOUN
ejpam-6581	164	1	̸=	̸=	PROPN
ejpam-6581	164	2	0	0	NUM
ejpam-6581	164	3	,	,	PUNCT
ejpam-6581	164	4	n	n	NOUN
ejpam-6581	164	5	=	=	SYM
ejpam-6581	164	6	0	0	NUM
ejpam-6581	164	7	,	,	PUNCT
ejpam-6581	164	8	with	with	ADP
ejpam-6581	164	9	(	(	PUNCT
ejpam-6581	164	10	k	k	NOUN
ejpam-6581	164	11	=	=	SYM
ejpam-6581	164	12	0	0	PROPN
ejpam-6581	164	13	,	,	PUNCT
ejpam-6581	164	14	γ	γ	X
ejpam-6581	164	15	̸=	̸=	PROPN
ejpam-6581	164	16	0	0	NUM
ejpam-6581	164	17	)	)	PUNCT
ejpam-6581	164	18	or	or	CCONJ
ejpam-6581	164	19	(	(	PUNCT
ejpam-6581	164	20	k	k	NOUN
ejpam-6581	164	21	=	=	SYM
ejpam-6581	164	22	0,±1	0,±1	PROPN
ejpam-6581	164	23	,	,	PUNCT
ejpam-6581	164	24	γ	γ	X
ejpam-6581	164	25	=	=	SYM
ejpam-6581	164	26	2	2	NUM
ejpam-6581	164	27	3	3	NUM
ejpam-6581	164	28	)	)	PUNCT
ejpam-6581	164	29	.	.	PUNCT
ejpam-6581	165	1	(	(	PUNCT
ejpam-6581	165	2	75	75	NUM
ejpam-6581	165	3	)	)	PUNCT
ejpam-6581	165	4	6	6	NUM
ejpam-6581	165	5	.	.	PUNCT
ejpam-6581	166	1	asymptotic	asymptotic	ADJ
ejpam-6581	166	2	solutions	solution	NOUN
ejpam-6581	166	3	to	to	ADP
ejpam-6581	166	4	the	the	DET
ejpam-6581	166	5	flatness	flatness	NOUN
ejpam-6581	166	6	problem	problem	NOUN
ejpam-6581	166	7	starting	start	VERB
ejpam-6581	166	8	with	with	ADP
ejpam-6581	166	9	the	the	DET
ejpam-6581	166	10	generalized	generalize	VERB
ejpam-6581	166	11	conservation	conservation	NOUN
ejpam-6581	166	12	law	law	NOUN
ejpam-6581	166	13	(	(	PUNCT
ejpam-6581	166	14	59	59	NUM
ejpam-6581	166	15	)	)	PUNCT
ejpam-6581	166	16	with	with	ADP
ejpam-6581	166	17	c	c	NOUN
ejpam-6581	166	18	=	=	SYM
ejpam-6581	166	19	c0a	c0a	X
ejpam-6581	166	20	n	n	NOUN
ejpam-6581	166	21	and	and	CCONJ
ejpam-6581	166	22	g	g	NOUN
ejpam-6581	166	23	=	=	PUNCT
ejpam-6581	167	1	g0a	g0a	X
ejpam-6581	167	2	m	m	VERB
ejpam-6581	167	3	we	we	PRON
ejpam-6581	167	4	obtain	obtain	VERB
ejpam-6581	167	5	,	,	PUNCT
ejpam-6581	167	6	(	(	PUNCT
ejpam-6581	167	7	am+3γρ	am+3γρ	ADJ
ejpam-6581	167	8	)	)	PUNCT
ejpam-6581	167	9	·	·	PUNCT
ejpam-6581	168	1	=	=	PUNCT
ejpam-6581	168	2	6knc20a	6knc20a	NUM
ejpam-6581	168	3	2n+3γ−3ȧ.	2n+3γ−3ȧ.	NUM
ejpam-6581	168	4	(	(	PUNCT
ejpam-6581	168	5	76	76	NUM
ejpam-6581	168	6	)	)	PUNCT
ejpam-6581	168	7	integrating	integrating	NOUN
ejpam-6581	168	8	(	(	PUNCT
ejpam-6581	168	9	76	76	NUM
ejpam-6581	168	10	)	)	PUNCT
ejpam-6581	168	11	,	,	PUNCT
ejpam-6581	168	12	we	we	PRON
ejpam-6581	168	13	get	get	VERB
ejpam-6581	168	14	,	,	PUNCT
ejpam-6581	168	15	ρ	ρ	NOUN
ejpam-6581	168	16	=	=	PUNCT
ejpam-6581	168	17	6kna2n−2−m	6kna2n−2−m	NUM
ejpam-6581	168	18	2n+	2n+	NUM
ejpam-6581	168	19	3γ	3γ	NUM
ejpam-6581	168	20	−	−	NUM
ejpam-6581	168	21	2	2	NUM
ejpam-6581	168	22	+	+	SYM
ejpam-6581	168	23	ma−3γ−m	ma−3γ−m	NOUN
ejpam-6581	168	24	,	,	PUNCT
ejpam-6581	168	25	if	if	SCONJ
ejpam-6581	168	26	2n	2n	NUM
ejpam-6581	168	27	̸=	̸=	PROPN
ejpam-6581	168	28	2−	2−	NUM
ejpam-6581	168	29	3γ	3γ	NUM
ejpam-6581	168	30	,	,	PUNCT
ejpam-6581	168	31	(	(	PUNCT
ejpam-6581	168	32	77	77	NUM
ejpam-6581	168	33	)	)	PUNCT
ejpam-6581	168	34	or	or	CCONJ
ejpam-6581	168	35	ρ	ρ	NUM
ejpam-6581	168	36	=	=	PROPN
ejpam-6581	169	1	3k(2−	3k(2−	NUM
ejpam-6581	169	2	3γ)a−3γ−m	3γ)a−3γ−m	NUM
ejpam-6581	169	3	ln	ln	ADJ
ejpam-6581	169	4	a+ma−3γ−m	a+ma−3γ−m	NOUN
ejpam-6581	169	5	,	,	PUNCT
ejpam-6581	169	6	if	if	SCONJ
ejpam-6581	169	7	2n	2n	NUM
ejpam-6581	169	8	=	=	SYM
ejpam-6581	169	9	2−	2−	NUM
ejpam-6581	169	10	3γ	3γ	NUM
ejpam-6581	169	11	.	.	PUNCT
ejpam-6581	170	1	(	(	PUNCT
ejpam-6581	170	2	78	78	NUM
ejpam-6581	170	3	)	)	PUNCT
ejpam-6581	170	4	in	in	ADP
ejpam-6581	170	5	particular	particular	ADJ
ejpam-6581	170	6	,	,	PUNCT
ejpam-6581	170	7	taking	take	VERB
ejpam-6581	170	8	into	into	ADP
ejpam-6581	170	9	account	account	NOUN
ejpam-6581	170	10	the	the	DET
ejpam-6581	170	11	general	general	ADJ
ejpam-6581	170	12	asymptotic	asymptotic	ADJ
ejpam-6581	170	13	solutions	solution	NOUN
ejpam-6581	170	14	(	(	PUNCT
ejpam-6581	170	15	57	57	NUM
ejpam-6581	170	16	)	)	PUNCT
ejpam-6581	170	17	and	and	CCONJ
ejpam-6581	170	18	(	(	PUNCT
ejpam-6581	170	19	73	73	NUM
ejpam-6581	170	20	)	)	PUNCT
ejpam-6581	170	21	,	,	PUNCT
ejpam-6581	170	22	we	we	PRON
ejpam-6581	170	23	are	be	AUX
ejpam-6581	170	24	interested	interested	ADJ
ejpam-6581	170	25	in	in	ADP
ejpam-6581	170	26	choosing	choose	VERB
ejpam-6581	170	27	γ	γ	X
ejpam-6581	170	28	=	=	SYM
ejpam-6581	170	29	2	2	NUM
ejpam-6581	170	30	3	3	NUM
ejpam-6581	170	31	,	,	PUNCT
ejpam-6581	170	32	because	because	SCONJ
ejpam-6581	170	33	this	this	PRON
ejpam-6581	170	34	is	be	AUX
ejpam-6581	170	35	the	the	DET
ejpam-6581	170	36	only	only	ADJ
ejpam-6581	170	37	choice	choice	NOUN
ejpam-6581	170	38	that	that	PRON
ejpam-6581	170	39	allows	allow	VERB
ejpam-6581	170	40	k	k	PROPN
ejpam-6581	170	41	to	to	PART
ejpam-6581	170	42	be	be	AUX
ejpam-6581	170	43	0	0	NUM
ejpam-6581	170	44	or	or	CCONJ
ejpam-6581	170	45	±1	±1	VERB
ejpam-6581	170	46	.	.	PUNCT
ejpam-6581	171	1	then	then	ADV
ejpam-6581	171	2	,	,	PUNCT
ejpam-6581	171	3	(	(	PUNCT
ejpam-6581	171	4	77	77	NUM
ejpam-6581	171	5	)	)	PUNCT
ejpam-6581	171	6	and	and	CCONJ
ejpam-6581	171	7	(	(	PUNCT
ejpam-6581	171	8	78	78	NUM
ejpam-6581	171	9	)	)	PUNCT
ejpam-6581	171	10	read	read	NOUN
ejpam-6581	171	11	,	,	PUNCT
ejpam-6581	171	12	ρ	ρ	PROPN
ejpam-6581	171	13	=	=	SYM
ejpam-6581	171	14	3kna2n−2−m	3kna2n−2−m	NUM
ejpam-6581	172	1	+	+	NOUN
ejpam-6581	172	2	ma−2−m	ma−2−m	NOUN
ejpam-6581	172	3	,	,	PUNCT
ejpam-6581	172	4	if	if	SCONJ
ejpam-6581	172	5	n	n	PRON
ejpam-6581	172	6	̸=	̸=	PROPN
ejpam-6581	172	7	0	0	NUM
ejpam-6581	172	8	,	,	PUNCT
ejpam-6581	172	9	(	(	PUNCT
ejpam-6581	172	10	79	79	NUM
ejpam-6581	172	11	)	)	PUNCT
ejpam-6581	172	12	and	and	CCONJ
ejpam-6581	172	13	ρ	ρ	NUM
ejpam-6581	172	14	=	=	SYM
ejpam-6581	172	15	ma−2−m	ma−2−m	NOUN
ejpam-6581	172	16	,	,	PUNCT
ejpam-6581	172	17	if	if	SCONJ
ejpam-6581	172	18	n	n	ADV
ejpam-6581	172	19	=	=	SYM
ejpam-6581	172	20	0	0	NUM
ejpam-6581	172	21	,	,	PUNCT
ejpam-6581	172	22	(	(	PUNCT
ejpam-6581	172	23	80	80	NUM
ejpam-6581	172	24	)	)	PUNCT
ejpam-6581	172	25	respectively	respectively	ADV
ejpam-6581	172	26	.	.	PUNCT
ejpam-6581	173	1	next	next	ADV
ejpam-6581	173	2	,	,	PUNCT
ejpam-6581	173	3	returning	return	VERB
ejpam-6581	173	4	to	to	ADP
ejpam-6581	173	5	the	the	DET
ejpam-6581	173	6	first	first	ADJ
ejpam-6581	173	7	friedman	friedman	NOUN
ejpam-6581	173	8	equation	equation	NOUN
ejpam-6581	173	9	(	(	PUNCT
ejpam-6581	173	10	1	1	X
ejpam-6581	173	11	)	)	PUNCT
ejpam-6581	173	12	we	we	PRON
ejpam-6581	173	13	have	have	VERB
ejpam-6581	173	14	,	,	PUNCT
ejpam-6581	173	15	h2	h2	PROPN
ejpam-6581	173	16	=	=	SYM
ejpam-6581	173	17	m	m	VERB
ejpam-6581	173	18	3	3	NUM
ejpam-6581	173	19	a−2	a−2	NOUN
ejpam-6581	173	20	+	+	CCONJ
ejpam-6581	173	21	(	(	PUNCT
ejpam-6581	173	22	n−	n−	NOUN
ejpam-6581	173	23	1)ka2(n−1	1)ka2(n−1	NUM
ejpam-6581	173	24	)	)	PUNCT
ejpam-6581	173	25	,	,	PUNCT
ejpam-6581	173	26	if	if	SCONJ
ejpam-6581	173	27	n	n	PRON
ejpam-6581	173	28	̸=	̸=	PROPN
ejpam-6581	173	29	0	0	NUM
ejpam-6581	173	30	,	,	PUNCT
ejpam-6581	173	31	(	(	PUNCT
ejpam-6581	173	32	81	81	NUM
ejpam-6581	173	33	)	)	PUNCT
ejpam-6581	173	34	and	and	CCONJ
ejpam-6581	173	35	h2	h2	NOUN
ejpam-6581	173	36	=	=	SYM
ejpam-6581	173	37	(	(	PUNCT
ejpam-6581	173	38	m	m	PROPN
ejpam-6581	173	39	3	3	NUM
ejpam-6581	173	40	−	−	PROPN
ejpam-6581	173	41	k)a−2	k)a−2	NOUN
ejpam-6581	173	42	,	,	PUNCT
ejpam-6581	173	43	if	if	SCONJ
ejpam-6581	173	44	n	n	NOUN
ejpam-6581	173	45	=	=	SYM
ejpam-6581	173	46	0	0	NUM
ejpam-6581	173	47	,	,	PUNCT
ejpam-6581	173	48	(	(	PUNCT
ejpam-6581	173	49	82	82	NUM
ejpam-6581	173	50	)	)	PUNCT
ejpam-6581	173	51	considering	consider	VERB
ejpam-6581	173	52	(	(	PUNCT
ejpam-6581	173	53	81	81	NUM
ejpam-6581	173	54	)	)	PUNCT
ejpam-6581	173	55	at	at	ADP
ejpam-6581	173	56	large	large	ADJ
ejpam-6581	173	57	a	a	PRON
ejpam-6581	173	58	,	,	PUNCT
ejpam-6581	173	59	it	it	PRON
ejpam-6581	173	60	is	be	AUX
ejpam-6581	173	61	clear	clear	ADJ
ejpam-6581	173	62	that	that	SCONJ
ejpam-6581	173	63	the	the	DET
ejpam-6581	173	64	first	first	ADJ
ejpam-6581	173	65	term	term	NOUN
ejpam-6581	173	66	dominates	dominate	VERB
ejpam-6581	173	67	the	the	DET
ejpam-6581	173	68	constant	constant	ADJ
ejpam-6581	173	69	curvature	curvature	NOUN
ejpam-6581	173	70	term	term	NOUN
ejpam-6581	173	71	whenever	whenever	SCONJ
ejpam-6581	173	72	n	n	ADV
ejpam-6581	173	73	≤	≤	NUM
ejpam-6581	173	74	0	0	NUM
ejpam-6581	173	75	,	,	PUNCT
ejpam-6581	173	76	while	while	SCONJ
ejpam-6581	173	77	in	in	ADP
ejpam-6581	173	78	(	(	PUNCT
ejpam-6581	173	79	82	82	NUM
ejpam-6581	173	80	)	)	PUNCT
ejpam-6581	173	81	k	k	NOUN
ejpam-6581	173	82	does	do	AUX
ejpam-6581	173	83	not	not	PART
ejpam-6581	173	84	play	play	VERB
ejpam-6581	173	85	any	any	DET
ejpam-6581	173	86	important	important	ADJ
ejpam-6581	173	87	role	role	NOUN
ejpam-6581	173	88	as	as	SCONJ
ejpam-6581	173	89	it	it	PRON
ejpam-6581	173	90	can	can	AUX
ejpam-6581	173	91	be	be	AUX
ejpam-6581	173	92	neglected	neglect	VERB
ejpam-6581	173	93	by	by	ADP
ejpam-6581	173	94	specific	specific	ADJ
ejpam-6581	173	95	values	value	NOUN
ejpam-6581	173	96	of	of	ADP
ejpam-6581	173	97	the	the	DET
ejpam-6581	173	98	integrating	integrate	VERB
ejpam-6581	173	99	constant	constant	ADJ
ejpam-6581	173	100	m	m	NOUN
ejpam-6581	173	101	.	.	PUNCT
ejpam-6581	174	1	therefore	therefore	ADV
ejpam-6581	174	2	,	,	PUNCT
ejpam-6581	174	3	in	in	ADP
ejpam-6581	174	4	both	both	DET
ejpam-6581	174	5	cases	case	NOUN
ejpam-6581	174	6	,	,	PUNCT
ejpam-6581	174	7	the	the	DET
ejpam-6581	174	8	flatness	flatness	NOUN
ejpam-6581	174	9	problem	problem	NOUN
ejpam-6581	174	10	can	can	AUX
ejpam-6581	174	11	be	be	AUX
ejpam-6581	174	12	solved	solve	VERB
ejpam-6581	174	13	if	if	SCONJ
ejpam-6581	174	14	n	n	ADV
ejpam-6581	174	15	≤	≤	ADV
ejpam-6581	174	16	0	0	NUM
ejpam-6581	174	17	.	.	PUNCT
ejpam-6581	175	1	notice	notice	VERB
ejpam-6581	175	2	that	that	SCONJ
ejpam-6581	175	3	the	the	DET
ejpam-6581	175	4	value	value	NOUN
ejpam-6581	175	5	of	of	ADP
ejpam-6581	175	6	m	m	PROPN
ejpam-6581	175	7	does	do	AUX
ejpam-6581	175	8	not	not	PART
ejpam-6581	175	9	have	have	VERB
ejpam-6581	175	10	any	any	DET
ejpam-6581	175	11	contribution	contribution	NOUN
ejpam-6581	175	12	d.	d.	PROPN
ejpam-6581	175	13	trachilis	trachilis	PROPN
ejpam-6581	175	14	/	/	SYM
ejpam-6581	175	15	eur	eur	PROPN
ejpam-6581	175	16	.	.	PUNCT
ejpam-6581	176	1	j.	j.	PROPN
ejpam-6581	176	2	pure	pure	PROPN
ejpam-6581	176	3	appl	appl	PROPN
ejpam-6581	176	4	.	.	PROPN
ejpam-6581	176	5	math	math	PROPN
ejpam-6581	176	6	,	,	PUNCT
ejpam-6581	176	7	18	18	NUM
ejpam-6581	176	8	(	(	PUNCT
ejpam-6581	176	9	3	3	NUM
ejpam-6581	176	10	)	)	PUNCT
ejpam-6581	176	11	(	(	PUNCT
ejpam-6581	176	12	2025	2025	NUM
ejpam-6581	176	13	)	)	PUNCT
ejpam-6581	176	14	,	,	PUNCT
ejpam-6581	176	15	6581	6581	NUM
ejpam-6581	176	16	11	11	NUM
ejpam-6581	176	17	of	of	ADP
ejpam-6581	176	18	12	12	NUM
ejpam-6581	176	19	to	to	ADP
ejpam-6581	176	20	the	the	DET
ejpam-6581	176	21	results	result	NOUN
ejpam-6581	176	22	.	.	PUNCT
ejpam-6581	177	1	this	this	PRON
ejpam-6581	177	2	is	be	AUX
ejpam-6581	177	3	because	because	SCONJ
ejpam-6581	177	4	g	g	PROPN
ejpam-6581	177	5	only	only	ADV
ejpam-6581	177	6	multiplies	multiply	VERB
ejpam-6581	177	7	ρ	ρ	NOUN
ejpam-6581	177	8	in	in	ADP
ejpam-6581	177	9	(	(	PUNCT
ejpam-6581	177	10	1	1	NUM
ejpam-6581	177	11	)	)	PUNCT
ejpam-6581	177	12	and	and	CCONJ
ejpam-6581	177	13	their	their	PRON
ejpam-6581	177	14	product	product	NOUN
ejpam-6581	177	15	eliminates	eliminate	VERB
ejpam-6581	177	16	the	the	DET
ejpam-6581	177	17	constant	constant	ADJ
ejpam-6581	177	18	m.	m.	NOUN
ejpam-6581	177	19	our	our	PRON
ejpam-6581	177	20	expressions	expression	NOUN
ejpam-6581	177	21	(	(	PUNCT
ejpam-6581	177	22	57	57	NUM
ejpam-6581	177	23	)	)	PUNCT
ejpam-6581	177	24	and	and	CCONJ
ejpam-6581	177	25	(	(	PUNCT
ejpam-6581	177	26	73	73	NUM
ejpam-6581	177	27	)	)	PUNCT
ejpam-6581	177	28	for	for	ADP
ejpam-6581	177	29	constant	constant	ADJ
ejpam-6581	177	30	and	and	CCONJ
ejpam-6581	177	31	varying	vary	VERB
ejpam-6581	177	32	g	g	NOUN
ejpam-6581	177	33	respectively	respectively	ADV
ejpam-6581	177	34	,	,	PUNCT
ejpam-6581	177	35	accept	accept	VERB
ejpam-6581	177	36	solutions	solution	NOUN
ejpam-6581	177	37	for	for	ADP
ejpam-6581	177	38	which	which	PRON
ejpam-6581	177	39	n	n	CCONJ
ejpam-6581	177	40	≤	≤	NOUN
ejpam-6581	177	41	0	0	NUM
ejpam-6581	177	42	,	,	PUNCT
ejpam-6581	177	43	so	so	SCONJ
ejpam-6581	177	44	they	they	PRON
ejpam-6581	177	45	can	can	AUX
ejpam-6581	177	46	also	also	ADV
ejpam-6581	177	47	be	be	AUX
ejpam-6581	177	48	considered	consider	VERB
ejpam-6581	177	49	as	as	ADP
ejpam-6581	177	50	asymptotic	asymptotic	ADJ
ejpam-6581	177	51	solutions	solution	NOUN
ejpam-6581	177	52	to	to	ADP
ejpam-6581	177	53	the	the	DET
ejpam-6581	177	54	flatness	flatness	NOUN
ejpam-6581	177	55	problem	problem	NOUN
ejpam-6581	177	56	.	.	PUNCT
ejpam-6581	178	1	in	in	ADP
ejpam-6581	178	2	particular	particular	ADJ
ejpam-6581	178	3	,	,	PUNCT
ejpam-6581	178	4	(	(	PUNCT
ejpam-6581	178	5	57	57	NUM
ejpam-6581	178	6	)	)	PUNCT
ejpam-6581	178	7	remains	remain	VERB
ejpam-6581	178	8	the	the	DET
ejpam-6581	178	9	same	same	ADJ
ejpam-6581	178	10	,	,	PUNCT
ejpam-6581	178	11	but	but	CCONJ
ejpam-6581	178	12	(	(	PUNCT
ejpam-6581	178	13	73	73	NUM
ejpam-6581	178	14	)	)	PUNCT
ejpam-6581	178	15	and	and	CCONJ
ejpam-6581	178	16	its	its	PRON
ejpam-6581	178	17	special	special	ADJ
ejpam-6581	178	18	case	case	NOUN
ejpam-6581	178	19	(	(	PUNCT
ejpam-6581	178	20	75	75	NUM
ejpam-6581	178	21	)	)	PUNCT
ejpam-6581	178	22	become	become	VERB
ejpam-6581	178	23	,	,	PUNCT
ejpam-6581	178	24	h	h	NOUN
ejpam-6581	178	25	=	=	SYM
ejpam-6581	178	26	t−1	t−1	PROPN
ejpam-6581	178	27	,	,	PUNCT
ejpam-6581	179	1	ρ	ρ	PROPN
ejpam-6581	179	2	=	=	SYM
ejpam-6581	179	3	1	1	NUM
ejpam-6581	179	4	3	3	NUM
ejpam-6581	179	5	cm11	cm11	PROPN
ejpam-6581	179	6	t	t	NOUN
ejpam-6581	179	7	−2−m	−2−m	NOUN
ejpam-6581	179	8	+	+	X
ejpam-6581	179	9	3kc2+m−2n	3kc2+m−2n	PROPN
ejpam-6581	179	10	11	11	NUM
ejpam-6581	179	11	t2−2n−2	t2−2n−2	ADP
ejpam-6581	179	12	m	m	NOUN
ejpam-6581	179	13	,	,	PUNCT
ejpam-6581	179	14	c11	c11	NOUN
ejpam-6581	179	15	̸=	̸=	PROPN
ejpam-6581	179	16	0,m	0,m	NOUN
ejpam-6581	180	1	∈	∈	PROPN
ejpam-6581	180	2	r	r	NOUN
ejpam-6581	180	3	,	,	PUNCT
ejpam-6581	180	4	n	n	CCONJ
ejpam-6581	180	5	≤	≤	NOUN
ejpam-6581	180	6	0	0	NUM
ejpam-6581	180	7	,	,	PUNCT
ejpam-6581	180	8	(	(	PUNCT
ejpam-6581	180	9	83	83	NUM
ejpam-6581	180	10	)	)	PUNCT
ejpam-6581	180	11	and	and	CCONJ
ejpam-6581	180	12	h	h	NOUN
ejpam-6581	180	13	=	=	SYM
ejpam-6581	180	14	t−1	t−1	PROPN
ejpam-6581	180	15	,	,	PUNCT
ejpam-6581	180	16	ρ	ρ	PROPN
ejpam-6581	180	17	=	=	SYM
ejpam-6581	180	18	1	1	NUM
ejpam-6581	180	19	3	3	NUM
ejpam-6581	180	20	cm11	cm11	PROPN
ejpam-6581	180	21	t	t	PROPN
ejpam-6581	180	22	−2−m	−2−m	NOUN
ejpam-6581	180	23	+	+	NOUN
ejpam-6581	180	24	3kc2+m	3kc2+m	NUM
ejpam-6581	180	25	11	11	NUM
ejpam-6581	180	26	t2−m	t2−m	NOUN
ejpam-6581	180	27	,	,	PUNCT
ejpam-6581	180	28	c11	c11	NOUN
ejpam-6581	180	29	̸=	̸=	PROPN
ejpam-6581	180	30	0,m	0,m	NOUN
ejpam-6581	181	1	̸=	̸=	PROPN
ejpam-6581	181	2	0	0	NUM
ejpam-6581	181	3	,	,	PUNCT
ejpam-6581	181	4	n	n	NOUN
ejpam-6581	181	5	=	=	SYM
ejpam-6581	181	6	0	0	NUM
ejpam-6581	181	7	,	,	PUNCT
ejpam-6581	181	8	(	(	PUNCT
ejpam-6581	181	9	84	84	NUM
ejpam-6581	181	10	)	)	PUNCT
ejpam-6581	181	11	respectively	respectively	ADV
ejpam-6581	181	12	.	.	PUNCT
ejpam-6581	182	1	7	7	X
ejpam-6581	182	2	.	.	X
ejpam-6581	182	3	conclusion	conclusion	NOUN
ejpam-6581	182	4	comparing	compare	VERB
ejpam-6581	182	5	the	the	DET
ejpam-6581	182	6	results	result	NOUN
ejpam-6581	182	7	for	for	ADP
ejpam-6581	182	8	both	both	CCONJ
ejpam-6581	182	9	constant	constant	ADJ
ejpam-6581	182	10	and	and	CCONJ
ejpam-6581	182	11	varying	vary	VERB
ejpam-6581	182	12	g	g	NOUN
ejpam-6581	182	13	by	by	ADP
ejpam-6581	182	14	taking	take	VERB
ejpam-6581	182	15	only	only	ADV
ejpam-6581	182	16	into	into	ADP
ejpam-6581	182	17	account	account	NOUN
ejpam-6581	182	18	the	the	DET
ejpam-6581	182	19	asymptotic	asymptotic	ADJ
ejpam-6581	182	20	solutions	solution	NOUN
ejpam-6581	182	21	that	that	PRON
ejpam-6581	182	22	express	express	VERB
ejpam-6581	182	23	a	a	DET
ejpam-6581	182	24	varying	vary	VERB
ejpam-6581	182	25	speed	speed	NOUN
ejpam-6581	182	26	of	of	ADP
ejpam-6581	182	27	light	light	ADJ
ejpam-6581	182	28	cosmological	cosmological	ADJ
ejpam-6581	182	29	theory	theory	NOUN
ejpam-6581	182	30	(	(	PUNCT
ejpam-6581	182	31	n	n	CCONJ
ejpam-6581	182	32	̸=	̸=	PROPN
ejpam-6581	182	33	0	0	NUM
ejpam-6581	182	34	)	)	PUNCT
ejpam-6581	182	35	,	,	PUNCT
ejpam-6581	182	36	we	we	PRON
ejpam-6581	182	37	find	find	VERB
ejpam-6581	182	38	that	that	SCONJ
ejpam-6581	182	39	,	,	PUNCT
ejpam-6581	182	40	in	in	ADP
ejpam-6581	182	41	both	both	DET
ejpam-6581	182	42	cases	case	NOUN
ejpam-6581	182	43	,	,	PUNCT
ejpam-6581	182	44	the	the	DET
ejpam-6581	182	45	associated	associated	ADJ
ejpam-6581	182	46	general	general	ADJ
ejpam-6581	182	47	solutions	solution	NOUN
ejpam-6581	182	48	(	(	PUNCT
ejpam-6581	182	49	57	57	NUM
ejpam-6581	182	50	)	)	PUNCT
ejpam-6581	182	51	and	and	CCONJ
ejpam-6581	182	52	(	(	PUNCT
ejpam-6581	182	53	73	73	NUM
ejpam-6581	182	54	)	)	PUNCT
ejpam-6581	182	55	are	be	AUX
ejpam-6581	182	56	not	not	PART
ejpam-6581	182	57	invariant	invariant	ADJ
ejpam-6581	182	58	with	with	ADP
ejpam-6581	182	59	respect	respect	NOUN
ejpam-6581	182	60	to	to	ADP
ejpam-6581	182	61	the	the	DET
ejpam-6581	182	62	time	time	NOUN
ejpam-6581	182	63	-	-	PUNCT
ejpam-6581	182	64	symmetry	symmetry	NOUN
ejpam-6581	182	65	t	t	PROPN
ejpam-6581	182	66	→	→	SYM
ejpam-6581	182	67	−t	−t	PROPN
ejpam-6581	182	68	,	,	PUNCT
ejpam-6581	182	69	h	h	NOUN
ejpam-6581	182	70	→	→	SYM
ejpam-6581	182	71	−h	−h	ADJ
ejpam-6581	182	72	,	,	PUNCT
ejpam-6581	182	73	ρ	ρ	PROPN
ejpam-6581	182	74	→	→	SYM
ejpam-6581	182	75	ρ	ρ	PROPN
ejpam-6581	182	76	.	.	PUNCT
ejpam-6581	183	1	this	this	PRON
ejpam-6581	183	2	is	be	AUX
ejpam-6581	183	3	due	due	ADJ
ejpam-6581	183	4	to	to	ADP
ejpam-6581	183	5	the	the	DET
ejpam-6581	183	6	form	form	NOUN
ejpam-6581	183	7	of	of	ADP
ejpam-6581	183	8	the	the	DET
ejpam-6581	183	9	energy	energy	NOUN
ejpam-6581	183	10	density	density	NOUN
ejpam-6581	183	11	ρ	ρ	PROPN
ejpam-6581	183	12	in	in	ADP
ejpam-6581	183	13	the	the	DET
ejpam-6581	183	14	solutions	solution	NOUN
ejpam-6581	183	15	.	.	PUNCT
ejpam-6581	184	1	in	in	ADP
ejpam-6581	184	2	particular	particular	ADJ
ejpam-6581	184	3	,	,	PUNCT
ejpam-6581	184	4	in	in	ADP
ejpam-6581	184	5	(	(	PUNCT
ejpam-6581	184	6	57	57	NUM
ejpam-6581	184	7	)	)	PUNCT
ejpam-6581	184	8	the	the	DET
ejpam-6581	184	9	expression	expression	NOUN
ejpam-6581	184	10	for	for	ADP
ejpam-6581	184	11	ρ	ρ	PROPN
ejpam-6581	184	12	contains	contain	VERB
ejpam-6581	184	13	odd	odd	ADJ
ejpam-6581	184	14	powers	power	NOUN
ejpam-6581	184	15	of	of	ADP
ejpam-6581	184	16	t.	t.	PROPN
ejpam-6581	184	17	also	also	ADV
ejpam-6581	184	18	,	,	PUNCT
ejpam-6581	184	19	in	in	ADP
ejpam-6581	184	20	(	(	PUNCT
ejpam-6581	184	21	73	73	NUM
ejpam-6581	184	22	)	)	PUNCT
ejpam-6581	184	23	there	there	PRON
ejpam-6581	184	24	are	be	VERB
ejpam-6581	184	25	infinitely	infinitely	ADV
ejpam-6581	184	26	many	many	ADJ
ejpam-6581	184	27	combinations	combination	NOUN
ejpam-6581	184	28	of	of	ADP
ejpam-6581	184	29	the	the	DET
ejpam-6581	184	30	parameters	parameter	NOUN
ejpam-6581	184	31	m	m	PRON
ejpam-6581	184	32	,	,	PUNCT
ejpam-6581	184	33	n	n	CCONJ
ejpam-6581	184	34	,	,	PUNCT
ejpam-6581	184	35	and	and	CCONJ
ejpam-6581	184	36	γ	γ	NOUN
ejpam-6581	184	37	that	that	PRON
ejpam-6581	184	38	do	do	AUX
ejpam-6581	184	39	not	not	PART
ejpam-6581	184	40	respect	respect	VERB
ejpam-6581	184	41	the	the	DET
ejpam-6581	184	42	symmetry	symmetry	NOUN
ejpam-6581	184	43	ρ	ρ	PROPN
ejpam-6581	184	44	→	→	SYM
ejpam-6581	184	45	ρ	ρ	PROPN
ejpam-6581	184	46	(	(	PUNCT
ejpam-6581	184	47	this	this	PRON
ejpam-6581	184	48	is	be	AUX
ejpam-6581	184	49	also	also	ADV
ejpam-6581	184	50	true	true	ADJ
ejpam-6581	184	51	for	for	ADP
ejpam-6581	184	52	(	(	PUNCT
ejpam-6581	184	53	75	75	NUM
ejpam-6581	184	54	)	)	PUNCT
ejpam-6581	184	55	when	when	SCONJ
ejpam-6581	184	56	n	n	X
ejpam-6581	184	57	=	=	SYM
ejpam-6581	184	58	0	0	NUM
ejpam-6581	184	59	and	and	CCONJ
ejpam-6581	184	60	m	m	PROPN
ejpam-6581	184	61	̸=	̸=	PROPN
ejpam-6581	184	62	0	0	NUM
ejpam-6581	184	63	)	)	PUNCT
ejpam-6581	184	64	.	.	PUNCT
ejpam-6581	185	1	this	this	PRON
ejpam-6581	185	2	means	mean	VERB
ejpam-6581	185	3	that	that	SCONJ
ejpam-6581	185	4	for	for	ADP
ejpam-6581	185	5	early	early	ADJ
ejpam-6581	185	6	times	time	NOUN
ejpam-6581	185	7	the	the	DET
ejpam-6581	185	8	existence	existence	NOUN
ejpam-6581	185	9	of	of	ADP
ejpam-6581	185	10	singularity	singularity	NOUN
ejpam-6581	185	11	related	relate	VERB
ejpam-6581	185	12	to	to	ADP
ejpam-6581	185	13	the	the	DET
ejpam-6581	185	14	dynamical	dynamical	ADJ
ejpam-6581	185	15	systems	system	NOUN
ejpam-6581	185	16	(	(	PUNCT
ejpam-6581	185	17	13	13	NUM
ejpam-6581	185	18	)	)	PUNCT
ejpam-6581	185	19	and	and	CCONJ
ejpam-6581	185	20	(	(	PUNCT
ejpam-6581	185	21	64	64	NUM
ejpam-6581	185	22	)	)	PUNCT
ejpam-6581	185	23	creates	create	VERB
ejpam-6581	185	24	a	a	DET
ejpam-6581	185	25	time	time	NOUN
ejpam-6581	185	26	-	-	PUNCT
ejpam-6581	185	27	asymmetry	asymmetry	NOUN
ejpam-6581	185	28	.	.	PUNCT
ejpam-6581	186	1	in	in	ADP
ejpam-6581	186	2	this	this	DET
ejpam-6581	186	3	paper	paper	NOUN
ejpam-6581	186	4	,	,	PUNCT
ejpam-6581	186	5	we	we	PRON
ejpam-6581	186	6	have	have	AUX
ejpam-6581	186	7	considered	consider	VERB
ejpam-6581	186	8	the	the	DET
ejpam-6581	186	9	behavior	behavior	NOUN
ejpam-6581	186	10	of	of	ADP
ejpam-6581	186	11	the	the	DET
ejpam-6581	186	12	vsl	vsl	PROPN
ejpam-6581	186	13	cosmological	cosmological	ADJ
ejpam-6581	186	14	models	model	NOUN
ejpam-6581	186	15	near	near	ADP
ejpam-6581	186	16	the	the	DET
ejpam-6581	186	17	initial	initial	ADJ
ejpam-6581	186	18	singularity	singularity	NOUN
ejpam-6581	186	19	for	for	ADP
ejpam-6581	186	20	both	both	CCONJ
ejpam-6581	186	21	g	g	NOUN
ejpam-6581	186	22	=	=	NOUN
ejpam-6581	186	23	constant	constant	ADJ
ejpam-6581	186	24	and	and	CCONJ
ejpam-6581	186	25	varying	vary	VERB
ejpam-6581	186	26	g	g	PROPN
ejpam-6581	186	27	=	=	SYM
ejpam-6581	186	28	g(t	g(t	PROPN
ejpam-6581	186	29	)	)	PUNCT
ejpam-6581	186	30	.	.	PUNCT
ejpam-6581	187	1	taking	take	VERB
ejpam-6581	187	2	into	into	ADP
ejpam-6581	187	3	consideration	consideration	NOUN
ejpam-6581	187	4	various	various	ADJ
ejpam-6581	187	5	asymptotic	asymptotic	ADJ
ejpam-6581	187	6	conditions	condition	NOUN
ejpam-6581	187	7	that	that	PRON
ejpam-6581	187	8	each	each	DET
ejpam-6581	187	9	decomposed	decompose	VERB
ejpam-6581	187	10	system	system	NOUN
ejpam-6581	187	11	must	must	AUX
ejpam-6581	187	12	satisfy	satisfy	VERB
ejpam-6581	187	13	in	in	ADP
ejpam-6581	187	14	order	order	NOUN
ejpam-6581	187	15	to	to	PART
ejpam-6581	187	16	have	have	AUX
ejpam-6581	187	17	admissible	admissible	ADJ
ejpam-6581	187	18	solutions	solution	NOUN
ejpam-6581	187	19	near	near	ADP
ejpam-6581	187	20	the	the	DET
ejpam-6581	187	21	initial	initial	ADJ
ejpam-6581	187	22	singularity	singularity	NOUN
ejpam-6581	187	23	,	,	PUNCT
ejpam-6581	187	24	we	we	PRON
ejpam-6581	187	25	have	have	AUX
ejpam-6581	187	26	presented	present	VERB
ejpam-6581	187	27	the	the	DET
ejpam-6581	187	28	form	form	NOUN
ejpam-6581	187	29	of	of	ADP
ejpam-6581	187	30	the	the	DET
ejpam-6581	187	31	series	series	NOUN
ejpam-6581	187	32	solutions	solution	NOUN
ejpam-6581	187	33	of	of	ADP
ejpam-6581	187	34	the	the	DET
ejpam-6581	187	35	variables	variable	NOUN
ejpam-6581	187	36	of	of	ADP
ejpam-6581	187	37	the	the	DET
ejpam-6581	187	38	systems	system	NOUN
ejpam-6581	187	39	(	(	PUNCT
ejpam-6581	187	40	13	13	NUM
ejpam-6581	187	41	)	)	PUNCT
ejpam-6581	187	42	and	and	CCONJ
ejpam-6581	187	43	(	(	PUNCT
ejpam-6581	187	44	64	64	NUM
ejpam-6581	187	45	)	)	PUNCT
ejpam-6581	187	46	that	that	PRON
ejpam-6581	187	47	are	be	AUX
ejpam-6581	187	48	accepted	accept	VERB
ejpam-6581	187	49	.	.	PUNCT
ejpam-6581	188	1	it	it	PRON
ejpam-6581	188	2	turns	turn	VERB
ejpam-6581	188	3	out	out	ADP
ejpam-6581	188	4	that	that	SCONJ
ejpam-6581	188	5	in	in	ADP
ejpam-6581	188	6	both	both	DET
ejpam-6581	188	7	cases	case	NOUN
ejpam-6581	188	8	of	of	ADP
ejpam-6581	188	9	g	g	NOUN
ejpam-6581	188	10	,	,	PUNCT
ejpam-6581	188	11	the	the	DET
ejpam-6581	188	12	hubble	hubble	ADJ
ejpam-6581	188	13	parameter	parameter	NOUN
ejpam-6581	188	14	behaves	behave	VERB
ejpam-6581	188	15	as	as	ADP
ejpam-6581	188	16	t−1	t−1	PROPN
ejpam-6581	188	17	near	near	ADP
ejpam-6581	188	18	the	the	DET
ejpam-6581	188	19	initial	initial	ADJ
ejpam-6581	188	20	singularity	singularity	NOUN
ejpam-6581	188	21	.	.	PUNCT
ejpam-6581	189	1	by	by	ADP
ejpam-6581	189	2	applying	apply	VERB
ejpam-6581	189	3	various	various	ADJ
ejpam-6581	189	4	asymptotic	asymptotic	ADJ
ejpam-6581	189	5	arguments	argument	NOUN
ejpam-6581	189	6	,	,	PUNCT
ejpam-6581	189	7	we	we	PRON
ejpam-6581	189	8	were	be	AUX
ejpam-6581	189	9	able	able	ADJ
ejpam-6581	189	10	to	to	PART
ejpam-6581	189	11	built	build	VERB
ejpam-6581	189	12	solutions	solution	NOUN
ejpam-6581	189	13	to	to	ADP
ejpam-6581	189	14	the	the	DET
ejpam-6581	189	15	field	field	NOUN
ejpam-6581	189	16	equations	equation	NOUN
ejpam-6581	189	17	in	in	ADP
ejpam-6581	189	18	both	both	DET
ejpam-6581	189	19	systems	system	NOUN
ejpam-6581	189	20	(	(	PUNCT
ejpam-6581	189	21	13	13	NUM
ejpam-6581	189	22	)	)	PUNCT
ejpam-6581	189	23	and	and	CCONJ
ejpam-6581	189	24	(	(	PUNCT
ejpam-6581	189	25	64	64	NUM
ejpam-6581	189	26	)	)	PUNCT
ejpam-6581	189	27	in	in	ADP
ejpam-6581	189	28	the	the	DET
ejpam-6581	189	29	form	form	NOUN
ejpam-6581	189	30	of	of	ADP
ejpam-6581	189	31	a	a	DET
ejpam-6581	189	32	fuchsian	fuchsian	ADJ
ejpam-6581	189	33	formal	formal	ADJ
ejpam-6581	189	34	series	series	NOUN
ejpam-6581	189	35	expansion	expansion	NOUN
ejpam-6581	189	36	which	which	PRON
ejpam-6581	189	37	are	be	AUX
ejpam-6581	189	38	consistent	consistent	ADJ
ejpam-6581	189	39	with	with	ADP
ejpam-6581	189	40	all	all	DET
ejpam-6581	189	41	other	other	ADJ
ejpam-6581	189	42	constraints	constraint	NOUN
ejpam-6581	189	43	,	,	PUNCT
ejpam-6581	189	44	and	and	CCONJ
ejpam-6581	189	45	are	be	AUX
ejpam-6581	189	46	asymptotically	asymptotically	ADV
ejpam-6581	189	47	dominant	dominant	ADJ
ejpam-6581	189	48	to	to	ADP
ejpam-6581	189	49	leading	lead	VERB
ejpam-6581	189	50	order	order	NOUN
ejpam-6581	189	51	.	.	PUNCT
ejpam-6581	190	1	thus	thus	ADV
ejpam-6581	190	2	,	,	PUNCT
ejpam-6581	190	3	we	we	PRON
ejpam-6581	190	4	conclude	conclude	VERB
ejpam-6581	190	5	that	that	SCONJ
ejpam-6581	190	6	the	the	DET
ejpam-6581	190	7	given	give	VERB
ejpam-6581	190	8	solutions	solution	NOUN
ejpam-6581	190	9	correspond	correspond	VERB
ejpam-6581	190	10	to	to	ADP
ejpam-6581	190	11	early	early	ADJ
ejpam-6581	190	12	time	time	NOUN
ejpam-6581	190	13	attractors	attractor	NOUN
ejpam-6581	190	14	of	of	ADP
ejpam-6581	190	15	all	all	DET
ejpam-6581	190	16	such	such	ADJ
ejpam-6581	190	17	homogeneous	homogeneous	ADJ
ejpam-6581	190	18	and	and	CCONJ
ejpam-6581	190	19	isotropic	isotropic	ADJ
ejpam-6581	190	20	vsl	vsl	NOUN
ejpam-6581	190	21	cosmologies	cosmology	NOUN
ejpam-6581	190	22	.	.	PUNCT
ejpam-6581	191	1	the	the	DET
ejpam-6581	191	2	same	same	ADJ
ejpam-6581	191	3	solutions	solution	NOUN
ejpam-6581	191	4	for	for	ADP
ejpam-6581	191	5	n	n	DET
ejpam-6581	191	6	≤	≤	NOUN
ejpam-6581	191	7	0	0	NUM
ejpam-6581	191	8	can	can	AUX
ejpam-6581	191	9	also	also	ADV
ejpam-6581	191	10	be	be	AUX
ejpam-6581	191	11	used	use	VERB
ejpam-6581	191	12	for	for	ADP
ejpam-6581	191	13	the	the	DET
ejpam-6581	191	14	solution	solution	NOUN
ejpam-6581	191	15	to	to	ADP
ejpam-6581	191	16	the	the	DET
ejpam-6581	191	17	flatness	flatness	NOUN
ejpam-6581	191	18	problem	problem	NOUN
ejpam-6581	191	19	.	.	PUNCT
ejpam-6581	192	1	references	reference	NOUN
ejpam-6581	192	2	[	[	X
ejpam-6581	192	3	1	1	NUM
ejpam-6581	192	4	]	]	X
ejpam-6581	192	5	j	j	PROPN
ejpam-6581	192	6	magueijo	magueijo	PROPN
ejpam-6581	192	7	.	.	PUNCT
ejpam-6581	193	1	new	new	ADJ
ejpam-6581	193	2	varying	vary	VERB
ejpam-6581	193	3	speed	speed	NOUN
ejpam-6581	193	4	of	of	ADP
ejpam-6581	193	5	light	light	ADJ
ejpam-6581	193	6	theories	theory	NOUN
ejpam-6581	193	7	.	.	PUNCT
ejpam-6581	194	1	reports	report	NOUN
ejpam-6581	194	2	on	on	ADP
ejpam-6581	194	3	progress	progress	NOUN
ejpam-6581	194	4	in	in	ADP
ejpam-6581	194	5	physics	physics	PROPN
ejpam-6581	194	6	,	,	PUNCT
ejpam-6581	194	7	66:2025–2068	66:2025–2068	PROPN
ejpam-6581	194	8	,	,	PUNCT
ejpam-6581	194	9	2003	2003	NUM
ejpam-6581	194	10	.	.	PUNCT
ejpam-6581	195	1	[	[	X
ejpam-6581	195	2	2	2	NUM
ejpam-6581	195	3	]	]	PUNCT
ejpam-6581	195	4	j	j	PROPN
ejpam-6581	195	5	miritzis	miritzi	NOUN
ejpam-6581	195	6	and	and	CCONJ
ejpam-6581	195	7	s	s	VERB
ejpam-6581	195	8	cotsakis	cotsaki	NOUN
ejpam-6581	195	9	.	.	PUNCT
ejpam-6581	196	1	singularities	singularity	NOUN
ejpam-6581	196	2	of	of	ADP
ejpam-6581	196	3	varying	vary	VERB
ejpam-6581	196	4	light	light	ADJ
ejpam-6581	196	5	speed	speed	NOUN
ejpam-6581	196	6	cosmologies	cosmology	NOUN
ejpam-6581	196	7	.	.	PUNCT
ejpam-6581	197	1	journal	journal	PROPN
ejpam-6581	197	2	of	of	ADP
ejpam-6581	197	3	physics	physics	PROPN
ejpam-6581	197	4	:	:	PUNCT
ejpam-6581	197	5	conference	conference	NOUN
ejpam-6581	197	6	series	series	NOUN
ejpam-6581	197	7	,	,	PUNCT
ejpam-6581	197	8	68:012019	68:012019	NUM
ejpam-6581	197	9	,	,	PUNCT
ejpam-6581	197	10	2007	2007	NUM
ejpam-6581	197	11	.	.	PUNCT
ejpam-6581	198	1	d.	d.	PROPN
ejpam-6581	198	2	trachilis	trachilis	PROPN
ejpam-6581	198	3	/	/	SYM
ejpam-6581	198	4	eur	eur	PROPN
ejpam-6581	198	5	.	.	PUNCT
ejpam-6581	199	1	j.	j.	PROPN
ejpam-6581	199	2	pure	pure	PROPN
ejpam-6581	199	3	appl	appl	PROPN
ejpam-6581	199	4	.	.	PROPN
ejpam-6581	199	5	math	math	PROPN
ejpam-6581	199	6	,	,	PUNCT
ejpam-6581	199	7	18	18	NUM
ejpam-6581	199	8	(	(	PUNCT
ejpam-6581	199	9	3	3	NUM
ejpam-6581	199	10	)	)	PUNCT
ejpam-6581	199	11	(	(	PUNCT
ejpam-6581	199	12	2025	2025	NUM
ejpam-6581	199	13	)	)	PUNCT
ejpam-6581	199	14	,	,	PUNCT
ejpam-6581	199	15	6581	6581	NUM
ejpam-6581	199	16	12	12	NUM
ejpam-6581	199	17	of	of	ADP
ejpam-6581	199	18	12	12	NUM
ejpam-6581	199	19	[	[	X
ejpam-6581	199	20	3	3	NUM
ejpam-6581	199	21	]	]	SYM
ejpam-6581	199	22	s	s	NOUN
ejpam-6581	199	23	cotsakis	cotsaki	NOUN
ejpam-6581	199	24	and	and	CCONJ
ejpam-6581	199	25	j	j	PROPN
ejpam-6581	199	26	d	d	PROPN
ejpam-6581	199	27	barrow	barrow	PROPN
ejpam-6581	199	28	.	.	PUNCT
ejpam-6581	200	1	the	the	DET
ejpam-6581	200	2	dominant	dominant	ADJ
ejpam-6581	200	3	balance	balance	NOUN
ejpam-6581	200	4	at	at	ADP
ejpam-6581	200	5	cosmological	cosmological	ADJ
ejpam-6581	200	6	singularities	singularity	NOUN
ejpam-6581	200	7	.	.	PUNCT
ejpam-6581	201	1	journal	journal	PROPN
ejpam-6581	201	2	of	of	ADP
ejpam-6581	201	3	physics	physics	PROPN
ejpam-6581	201	4	:	:	PUNCT
ejpam-6581	201	5	conference	conference	NOUN
ejpam-6581	201	6	series	series	NOUN
ejpam-6581	201	7	,	,	PUNCT
ejpam-6581	201	8	68:012004	68:012004	NUM
ejpam-6581	201	9	,	,	PUNCT
ejpam-6581	201	10	2007	2007	NUM
ejpam-6581	201	11	.	.	PUNCT
ejpam-6581	202	1	[	[	X
ejpam-6581	202	2	4	4	X
ejpam-6581	202	3	]	]	PUNCT
ejpam-6581	202	4	a	a	DET
ejpam-6581	202	5	albrecht	albrecht	NOUN
ejpam-6581	202	6	and	and	CCONJ
ejpam-6581	202	7	j	j	PROPN
ejpam-6581	202	8	magueijo	magueijo	PROPN
ejpam-6581	202	9	.	.	PUNCT
ejpam-6581	203	1	time	time	NOUN
ejpam-6581	203	2	varying	vary	VERB
ejpam-6581	203	3	speed	speed	NOUN
ejpam-6581	203	4	of	of	ADP
ejpam-6581	203	5	light	light	NOUN
ejpam-6581	203	6	as	as	ADP
ejpam-6581	203	7	a	a	DET
ejpam-6581	203	8	solution	solution	NOUN
ejpam-6581	203	9	to	to	ADP
ejpam-6581	203	10	cosmological	cosmological	ADJ
ejpam-6581	203	11	puzzles	puzzle	NOUN
ejpam-6581	203	12	.	.	PUNCT
ejpam-6581	204	1	physics	physics	NOUN
ejpam-6581	204	2	letters	letter	NOUN
ejpam-6581	204	3	d	d	PROPN
ejpam-6581	204	4	,	,	PUNCT
ejpam-6581	204	5	59:043516	59:043516	NUM
ejpam-6581	204	6	,	,	PUNCT
ejpam-6581	204	7	1999	1999	NUM
ejpam-6581	204	8	.	.	PUNCT
ejpam-6581	205	1	[	[	X
ejpam-6581	205	2	5	5	NUM
ejpam-6581	205	3	]	]	PUNCT
ejpam-6581	205	4	j	j	PROPN
ejpam-6581	205	5	d	d	X
ejpam-6581	205	6	barrow	barrow	PROPN
ejpam-6581	205	7	and	and	CCONJ
ejpam-6581	205	8	j	j	PROPN
ejpam-6581	205	9	magueijo	magueijo	PROPN
ejpam-6581	205	10	.	.	PUNCT
ejpam-6581	206	1	varying	vary	VERB
ejpam-6581	206	2	-	-	PUNCT
ejpam-6581	206	3	α	α	NOUN
ejpam-6581	206	4	theories	theory	NOUN
ejpam-6581	206	5	and	and	CCONJ
ejpam-6581	206	6	solutions	solution	NOUN
ejpam-6581	206	7	to	to	ADP
ejpam-6581	206	8	the	the	DET
ejpam-6581	206	9	cosmological	cosmological	ADJ
ejpam-6581	206	10	problems	problem	NOUN
ejpam-6581	206	11	.	.	PUNCT
ejpam-6581	207	1	physics	physics	NOUN
ejpam-6581	207	2	letters	letters	PROPN
ejpam-6581	207	3	b	b	PROPN
ejpam-6581	207	4	,	,	PUNCT
ejpam-6581	207	5	443:104–110	443:104–110	PROPN
ejpam-6581	207	6	,	,	PUNCT
ejpam-6581	207	7	1998	1998	NUM
ejpam-6581	207	8	.	.	PUNCT
ejpam-6581	208	1	[	[	X
ejpam-6581	208	2	6	6	NUM
ejpam-6581	208	3	]	]	SYM
ejpam-6581	208	4	j	j	PROPN
ejpam-6581	208	5	d	d	X
ejpam-6581	208	6	barrow	barrow	PROPN
ejpam-6581	208	7	.	.	PUNCT
ejpam-6581	209	1	cosmologies	cosmology	NOUN
ejpam-6581	209	2	with	with	ADP
ejpam-6581	209	3	varying	vary	VERB
ejpam-6581	209	4	light	light	ADJ
ejpam-6581	209	5	speed	speed	NOUN
ejpam-6581	209	6	.	.	PUNCT
ejpam-6581	210	1	physical	physical	ADJ
ejpam-6581	210	2	review	review	PROPN
ejpam-6581	210	3	d	d	PROPN
ejpam-6581	210	4	,	,	PUNCT
ejpam-6581	210	5	59:043515	59:043515	NUM
ejpam-6581	210	6	,	,	PUNCT
ejpam-6581	210	7	1999	1999	NUM
ejpam-6581	210	8	.	.	PUNCT
ejpam-6581	211	1	[	[	X
ejpam-6581	211	2	7	7	X
ejpam-6581	211	3	]	]	X
ejpam-6581	211	4	j	j	PROPN
ejpam-6581	211	5	d	d	X
ejpam-6581	211	6	barrow	barrow	PROPN
ejpam-6581	211	7	.	.	PUNCT
ejpam-6581	212	1	unusual	unusual	ADJ
ejpam-6581	212	2	features	feature	NOUN
ejpam-6581	212	3	of	of	ADP
ejpam-6581	212	4	varying	vary	VERB
ejpam-6581	212	5	speed	speed	NOUN
ejpam-6581	212	6	of	of	ADP
ejpam-6581	212	7	light	light	ADJ
ejpam-6581	212	8	cosmologies	cosmology	NOUN
ejpam-6581	212	9	.	.	PUNCT
ejpam-6581	213	1	physics	physics	NOUN
ejpam-6581	213	2	letters	letters	PROPN
ejpam-6581	213	3	b	b	PROPN
ejpam-6581	213	4	,	,	PUNCT
ejpam-6581	213	5	564:1–7	564:1–7	NUM
ejpam-6581	213	6	,	,	PUNCT
ejpam-6581	213	7	2003	2003	NUM
ejpam-6581	213	8	.	.	PUNCT
ejpam-6581	214	1	[	[	X
ejpam-6581	214	2	8	8	NUM
ejpam-6581	214	3	]	]	X
ejpam-6581	214	4	a	a	DET
ejpam-6581	214	5	goriely	goriely	ADV
ejpam-6581	214	6	.	.	PUNCT
ejpam-6581	215	1	integrability	integrability	NOUN
ejpam-6581	215	2	and	and	CCONJ
ejpam-6581	215	3	nonintegrability	nonintegrability	NOUN
ejpam-6581	215	4	of	of	ADP
ejpam-6581	215	5	dynamical	dynamical	ADJ
ejpam-6581	215	6	systems	system	NOUN
ejpam-6581	215	7	.	.	PUNCT
ejpam-6581	216	1	world	world	NOUN
ejpam-6581	216	2	scientific	scientific	PROPN
ejpam-6581	216	3	,	,	PUNCT
ejpam-6581	216	4	university	university	PROPN
ejpam-6581	216	5	of	of	ADP
ejpam-6581	216	6	arizona	arizona	PROPN
ejpam-6581	216	7	,	,	PUNCT
ejpam-6581	216	8	usa	usa	PROPN
ejpam-6581	216	9	,	,	PUNCT
ejpam-6581	216	10	2001	2001	NUM
ejpam-6581	216	11	.	.	PUNCT
ejpam-6581	217	1	[	[	X
ejpam-6581	217	2	9	9	NUM
ejpam-6581	217	3	]	]	SYM
ejpam-6581	217	4	s	s	X
ejpam-6581	217	5	cotsakis	cotsaki	NOUN
ejpam-6581	217	6	s	s	PROPN
ejpam-6581	217	7	kadry	kadry	NOUN
ejpam-6581	217	8	g	g	PROPN
ejpam-6581	217	9	kolionis	kolionis	PROPN
ejpam-6581	217	10	and	and	CCONJ
ejpam-6581	217	11	a	a	DET
ejpam-6581	217	12	tsokaros	tsokaro	NOUN
ejpam-6581	217	13	.	.	PUNCT
ejpam-6581	218	1	asymptotic	asymptotic	ADJ
ejpam-6581	218	2	vacua	vacuum	NOUN
ejpam-6581	218	3	with	with	ADP
ejpam-6581	218	4	higher	high	ADJ
ejpam-6581	218	5	derivatives	derivative	NOUN
ejpam-6581	218	6	.	.	PUNCT
ejpam-6581	219	1	physics	physics	NOUN
ejpam-6581	219	2	letters	letters	PROPN
ejpam-6581	219	3	b	b	PROPN
ejpam-6581	219	4	,	,	PUNCT
ejpam-6581	219	5	755:387–392	755:387–392	NUM
ejpam-6581	219	6	,	,	PUNCT
ejpam-6581	219	7	2016	2016	NUM
ejpam-6581	219	8	.	.	PUNCT
ejpam-6581	220	1	[	[	X
ejpam-6581	220	2	10	10	NUM
ejpam-6581	220	3	]	]	SYM
ejpam-6581	220	4	s	s	X
ejpam-6581	220	5	cotsakis	cotsaki	NOUN
ejpam-6581	220	6	g	g	PROPN
ejpam-6581	220	7	kolionis	kolionis	PROPN
ejpam-6581	220	8	and	and	CCONJ
ejpam-6581	220	9	a	a	DET
ejpam-6581	220	10	tsokaros	tsokaro	NOUN
ejpam-6581	220	11	.	.	PUNCT
ejpam-6581	221	1	the	the	DET
ejpam-6581	221	2	initial	initial	ADJ
ejpam-6581	221	3	state	state	NOUN
ejpam-6581	221	4	of	of	ADP
ejpam-6581	221	5	generalized	generalized	ADJ
ejpam-6581	221	6	radiation	radiation	NOUN
ejpam-6581	221	7	universes	universe	NOUN
ejpam-6581	221	8	.	.	PUNCT
ejpam-6581	222	1	physics	physics	NOUN
ejpam-6581	222	2	letters	letters	PROPN
ejpam-6581	222	3	b	b	PROPN
ejpam-6581	222	4	,	,	PUNCT
ejpam-6581	222	5	721:1–6	721:1–6	NUM
ejpam-6581	222	6	,	,	PUNCT
ejpam-6581	222	7	2013	2013	NUM
ejpam-6581	222	8	.	.	PUNCT