id	sid	tid	token	lemma	pos
ap-1899	1	1	acta	acta	PROPN
ap-1899	1	2	polytechnica	polytechnica	PROPN
ap-1899	1	3	doi:10.14311	doi:10.14311	PROPN
ap-1899	1	4	/	/	SYM
ap-1899	1	5	ap.2013.53.0550	ap.2013.53.0550	PROPN
ap-1899	1	6	acta	acta	PROPN
ap-1899	1	7	polytechnica	polytechnica	PROPN
ap-1899	1	8	53(supplement):550–554	53(supplement):550–554	NUM
ap-1899	1	9	,	,	PUNCT
ap-1899	1	10	2013	2013	NUM
ap-1899	1	11	©	©	PROPN
ap-1899	1	12	czech	czech	PROPN
ap-1899	1	13	technical	technical	PROPN
ap-1899	1	14	university	university	PROPN
ap-1899	1	15	in	in	ADP
ap-1899	1	16	prague	prague	PROPN
ap-1899	1	17	,	,	PUNCT
ap-1899	1	18	2013	2013	NUM
ap-1899	1	19	available	available	ADJ
ap-1899	1	20	online	online	ADV
ap-1899	1	21	at	at	ADP
ap-1899	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1899	1	23	dark	dark	ADJ
ap-1899	1	24	energy	energy	NOUN
ap-1899	1	25	and	and	CCONJ
ap-1899	1	26	key	key	ADJ
ap-1899	1	27	physical	physical	ADJ
ap-1899	1	28	parameters	parameter	NOUN
ap-1899	1	29	of	of	ADP
ap-1899	1	30	clusters	cluster	NOUN
ap-1899	1	31	of	of	ADP
ap-1899	1	32	galaxies	galaxy	NOUN
ap-1899	1	33	gennady	gennady	PROPN
ap-1899	1	34	s.	s.	PROPN
ap-1899	1	35	bisnovatyi	bisnovatyi	PROPN
ap-1899	1	36	-	-	PUNCT
ap-1899	1	37	kogana	kogana	PROPN
ap-1899	1	38	,	,	PUNCT
ap-1899	1	39	b,∗	b,∗	PROPN
ap-1899	1	40	,	,	PUNCT
ap-1899	1	41	artur	artur	PROPN
ap-1899	1	42	cherninc	cherninc	PROPN
ap-1899	1	43	,	,	PUNCT
ap-1899	1	44	marco	marco	PROPN
ap-1899	1	45	merafinad	merafinad	PROPN
ap-1899	1	46	a	a	DET
ap-1899	1	47	space	space	NOUN
ap-1899	1	48	research	research	PROPN
ap-1899	1	49	institute	institute	PROPN
ap-1899	1	50	rus	rus	PROPN
ap-1899	1	51	.	.	PUNCT
ap-1899	1	52	acad	acad	PROPN
ap-1899	1	53	.	.	PUNCT
ap-1899	2	1	sci	sci	PROPN
ap-1899	2	2	.	.	PROPN
ap-1899	2	3	,	,	PUNCT
ap-1899	2	4	moscow	moscow	PROPN
ap-1899	2	5	,	,	PUNCT
ap-1899	2	6	russia	russia	PROPN
ap-1899	2	7	b	b	PROPN
ap-1899	2	8	moscow	moscow	PROPN
ap-1899	2	9	engineering	engineering	PROPN
ap-1899	2	10	physics	physics	PROPN
ap-1899	2	11	institute	institute	PROPN
ap-1899	2	12	,	,	PUNCT
ap-1899	2	13	moscow	moscow	PROPN
ap-1899	2	14	,	,	PUNCT
ap-1899	2	15	russia	russia	PROPN
ap-1899	2	16	c	c	PROPN
ap-1899	2	17	shernberg	shernberg	PROPN
ap-1899	2	18	astron	astron	PROPN
ap-1899	2	19	inst	inst	PROPN
ap-1899	2	20	.	.	PUNCT
ap-1899	3	1	msu	msu	PROPN
ap-1899	3	2	,	,	PUNCT
ap-1899	3	3	moscow	moscow	PROPN
ap-1899	3	4	,	,	PUNCT
ap-1899	3	5	russia	russia	PROPN
ap-1899	3	6	d	d	PROPN
ap-1899	3	7	university	university	PROPN
ap-1899	3	8	of	of	ADP
ap-1899	3	9	rome	rome	PROPN
ap-1899	3	10	“	"	PUNCT
ap-1899	3	11	la	la	X
ap-1899	3	12	sapienza	sapienza	PROPN
ap-1899	3	13	”	"	PUNCT
ap-1899	3	14	,	,	PUNCT
ap-1899	3	15	department	department	NOUN
ap-1899	3	16	of	of	ADP
ap-1899	3	17	physics	physics	PROPN
ap-1899	3	18	,	,	PUNCT
ap-1899	3	19	rome	rome	PROPN
ap-1899	3	20	,	,	PUNCT
ap-1899	3	21	italy	italy	PROPN
ap-1899	3	22	∗	∗	VERB
ap-1899	3	23	corresponding	correspond	VERB
ap-1899	3	24	author	author	NOUN
ap-1899	3	25	:	:	PUNCT
ap-1899	3	26	gkogan@iki.rssi.ru	gkogan@iki.rssi.ru	NOUN
ap-1899	3	27	abstract	abstract	NOUN
ap-1899	3	28	.	.	PUNCT
ap-1899	4	1	we	we	PRON
ap-1899	4	2	study	study	VERB
ap-1899	4	3	physics	physic	NOUN
ap-1899	4	4	of	of	ADP
ap-1899	4	5	clusters	cluster	NOUN
ap-1899	4	6	of	of	ADP
ap-1899	4	7	galaxies	galaxy	NOUN
ap-1899	4	8	embedded	embed	VERB
ap-1899	4	9	in	in	ADP
ap-1899	4	10	the	the	DET
ap-1899	4	11	cosmic	cosmic	ADJ
ap-1899	4	12	dark	dark	ADJ
ap-1899	4	13	energy	energy	NOUN
ap-1899	4	14	background	background	NOUN
ap-1899	4	15	.	.	PUNCT
ap-1899	5	1	the	the	DET
ap-1899	5	2	equilibrium	equilibrium	NOUN
ap-1899	5	3	and	and	CCONJ
ap-1899	5	4	stability	stability	NOUN
ap-1899	5	5	of	of	ADP
ap-1899	5	6	polytropic	polytropic	ADJ
ap-1899	5	7	spheres	sphere	NOUN
ap-1899	5	8	with	with	ADP
ap-1899	5	9	equation	equation	NOUN
ap-1899	5	10	of	of	ADP
ap-1899	5	11	state	state	NOUN
ap-1899	5	12	of	of	ADP
ap-1899	5	13	the	the	DET
ap-1899	5	14	matter	matter	NOUN
ap-1899	5	15	p	p	NOUN
ap-1899	5	16	=	=	NOUN
ap-1899	5	17	kργ	kργ	NOUN
ap-1899	5	18	,	,	PUNCT
ap-1899	5	19	γ	γ	X
ap-1899	5	20	=	=	SYM
ap-1899	5	21	1	1	NUM
ap-1899	5	22	+	+	NUM
ap-1899	5	23	1	1	NUM
ap-1899	5	24	/	/	SYM
ap-1899	5	25	n	n	CCONJ
ap-1899	5	26	,	,	PUNCT
ap-1899	5	27	in	in	ADP
ap-1899	5	28	presence	presence	NOUN
ap-1899	5	29	of	of	ADP
ap-1899	5	30	a	a	DET
ap-1899	5	31	non	non	ADJ
ap-1899	5	32	-	-	ADJ
ap-1899	5	33	zero	zero	ADJ
ap-1899	5	34	cosmological	cosmological	ADJ
ap-1899	5	35	constant	constant	ADJ
ap-1899	5	36	λ	λ	NOUN
ap-1899	5	37	is	be	AUX
ap-1899	5	38	investigated	investigate	VERB
ap-1899	5	39	.	.	PUNCT
ap-1899	6	1	the	the	DET
ap-1899	6	2	equilibrium	equilibrium	NOUN
ap-1899	6	3	state	state	NOUN
ap-1899	6	4	exists	exist	VERB
ap-1899	6	5	only	only	ADV
ap-1899	6	6	for	for	ADP
ap-1899	6	7	central	central	ADJ
ap-1899	6	8	densities	density	NOUN
ap-1899	6	9	ρ0	ρ0	PROPN
ap-1899	6	10	larger	large	ADJ
ap-1899	6	11	than	than	ADP
ap-1899	6	12	the	the	DET
ap-1899	6	13	critical	critical	ADJ
ap-1899	6	14	value	value	NOUN
ap-1899	6	15	ρc	ρc	VERB
ap-1899	6	16	and	and	CCONJ
ap-1899	6	17	there	there	PRON
ap-1899	6	18	are	be	VERB
ap-1899	6	19	no	no	DET
ap-1899	6	20	static	static	ADJ
ap-1899	6	21	solutions	solution	NOUN
ap-1899	6	22	at	at	ADP
ap-1899	6	23	ρ0	ρ0	PROPN
ap-1899	6	24	<	<	X
ap-1899	6	25	ρc	ρc	PROPN
ap-1899	6	26	.	.	PUNCT
ap-1899	7	1	at	at	ADP
ap-1899	7	2	this	this	DET
ap-1899	7	3	density	density	NOUN
ap-1899	7	4	the	the	DET
ap-1899	7	5	radius	radius	NOUN
ap-1899	7	6	of	of	ADP
ap-1899	7	7	the	the	DET
ap-1899	7	8	configuration	configuration	NOUN
ap-1899	7	9	is	be	AUX
ap-1899	7	10	equal	equal	ADJ
ap-1899	7	11	to	to	ADP
ap-1899	7	12	the	the	DET
ap-1899	7	13	zero	zero	NUM
ap-1899	7	14	-	-	PUNCT
ap-1899	7	15	gravity	gravity	NOUN
ap-1899	7	16	radius	radius	NOUN
ap-1899	7	17	,	,	PUNCT
ap-1899	7	18	at	at	ADP
ap-1899	7	19	which	which	PRON
ap-1899	7	20	the	the	DET
ap-1899	7	21	dark	dark	ADJ
ap-1899	7	22	matter	matter	NOUN
ap-1899	7	23	gravity	gravity	NOUN
ap-1899	7	24	is	be	AUX
ap-1899	7	25	balanced	balance	VERB
ap-1899	7	26	by	by	ADP
ap-1899	7	27	the	the	DET
ap-1899	7	28	dark	dark	ADJ
ap-1899	7	29	energy	energy	NOUN
ap-1899	7	30	antigravity	antigravity	NOUN
ap-1899	7	31	.	.	PUNCT
ap-1899	8	1	it	it	PRON
ap-1899	8	2	is	be	AUX
ap-1899	8	3	shown	show	VERB
ap-1899	8	4	,	,	PUNCT
ap-1899	8	5	that	that	PRON
ap-1899	8	6	dark	dark	ADJ
ap-1899	8	7	energy	energy	NOUN
ap-1899	8	8	reduces	reduce	VERB
ap-1899	8	9	the	the	DET
ap-1899	8	10	dynamic	dynamic	ADJ
ap-1899	8	11	stability	stability	NOUN
ap-1899	8	12	of	of	ADP
ap-1899	8	13	the	the	DET
ap-1899	8	14	configuration	configuration	NOUN
ap-1899	8	15	.	.	PUNCT
ap-1899	9	1	we	we	PRON
ap-1899	9	2	show	show	VERB
ap-1899	9	3	that	that	SCONJ
ap-1899	9	4	the	the	DET
ap-1899	9	5	dynamical	dynamical	ADJ
ap-1899	9	6	effects	effect	NOUN
ap-1899	9	7	of	of	ADP
ap-1899	9	8	dark	dark	ADJ
ap-1899	9	9	energy	energy	NOUN
ap-1899	9	10	are	be	AUX
ap-1899	9	11	strong	strong	ADJ
ap-1899	9	12	in	in	ADP
ap-1899	9	13	clusters	cluster	NOUN
ap-1899	9	14	like	like	ADP
ap-1899	9	15	the	the	DET
ap-1899	9	16	virgo	virgo	NOUN
ap-1899	9	17	cluster	cluster	NOUN
ap-1899	9	18	,	,	PUNCT
ap-1899	9	19	which	which	PRON
ap-1899	9	20	halo	halo	NOUN
ap-1899	9	21	radius	radius	NOUN
ap-1899	9	22	is	be	AUX
ap-1899	9	23	close	close	ADJ
ap-1899	9	24	to	to	ADP
ap-1899	9	25	the	the	DET
ap-1899	9	26	zero	zero	NUM
ap-1899	9	27	-	-	PUNCT
ap-1899	9	28	gravity	gravity	NOUN
ap-1899	9	29	radius	radius	NOUN
ap-1899	9	30	.	.	PUNCT
ap-1899	10	1	it	it	PRON
ap-1899	10	2	is	be	AUX
ap-1899	10	3	shown	show	VERB
ap-1899	10	4	,	,	PUNCT
ap-1899	10	5	that	that	SCONJ
ap-1899	10	6	the	the	DET
ap-1899	10	7	empirical	empirical	ADJ
ap-1899	10	8	data	datum	NOUN
ap-1899	10	9	on	on	ADP
ap-1899	10	10	clusters	cluster	NOUN
ap-1899	10	11	like	like	ADP
ap-1899	10	12	the	the	DET
ap-1899	10	13	virgo	virgo	NOUN
ap-1899	10	14	cluster	cluster	NOUN
ap-1899	10	15	or	or	CCONJ
ap-1899	10	16	the	the	DET
ap-1899	10	17	coma	coma	NOUN
ap-1899	10	18	cluster	cluster	NOUN
ap-1899	10	19	,	,	PUNCT
ap-1899	10	20	are	be	AUX
ap-1899	10	21	consistent	consistent	ADJ
ap-1899	10	22	with	with	ADP
ap-1899	10	23	the	the	DET
ap-1899	10	24	assumption	assumption	NOUN
ap-1899	10	25	that	that	SCONJ
ap-1899	10	26	the	the	DET
ap-1899	10	27	local	local	ADJ
ap-1899	10	28	density	density	NOUN
ap-1899	10	29	of	of	ADP
ap-1899	10	30	dark	dark	ADJ
ap-1899	10	31	energy	energy	NOUN
ap-1899	10	32	on	on	ADP
ap-1899	10	33	the	the	DET
ap-1899	10	34	scale	scale	NOUN
ap-1899	10	35	of	of	ADP
ap-1899	10	36	clusters	cluster	NOUN
ap-1899	10	37	of	of	ADP
ap-1899	10	38	galaxies	galaxy	NOUN
ap-1899	10	39	is	be	AUX
ap-1899	10	40	the	the	DET
ap-1899	10	41	same	same	ADJ
ap-1899	10	42	as	as	ADP
ap-1899	10	43	on	on	ADP
ap-1899	10	44	the	the	DET
ap-1899	10	45	global	global	ADJ
ap-1899	10	46	cosmological	cosmological	ADJ
ap-1899	10	47	scales	scale	NOUN
ap-1899	10	48	.	.	PUNCT
ap-1899	11	1	keywords	keyword	NOUN
ap-1899	11	2	:	:	PUNCT
ap-1899	11	3	dark	dark	ADJ
ap-1899	11	4	energy	energy	NOUN
ap-1899	11	5	,	,	PUNCT
ap-1899	11	6	equilibrium	equilibrium	NOUN
ap-1899	11	7	models	model	NOUN
ap-1899	11	8	,	,	PUNCT
ap-1899	11	9	galaxy	galaxy	NOUN
ap-1899	11	10	clusters	cluster	NOUN
ap-1899	11	11	.	.	PUNCT
ap-1899	12	1	1	1	X
ap-1899	12	2	.	.	X
ap-1899	12	3	introduction	introduction	NOUN
ap-1899	12	4	analysis	analysis	NOUN
ap-1899	12	5	of	of	ADP
ap-1899	12	6	the	the	DET
ap-1899	12	7	observations	observation	NOUN
ap-1899	12	8	of	of	ADP
ap-1899	12	9	distant	distant	ADJ
ap-1899	12	10	sn	sn	PROPN
ap-1899	12	11	ia	ia	PROPN
ap-1899	13	1	[	[	X
ap-1899	13	2	16	16	NUM
ap-1899	13	3	,	,	PUNCT
ap-1899	13	4	17	17	NUM
ap-1899	13	5	]	]	PUNCT
ap-1899	13	6	and	and	CCONJ
ap-1899	13	7	of	of	ADP
ap-1899	13	8	the	the	DET
ap-1899	13	9	spectrum	spectrum	NOUN
ap-1899	13	10	of	of	ADP
ap-1899	13	11	fluctuations	fluctuation	NOUN
ap-1899	13	12	of	of	ADP
ap-1899	13	13	the	the	DET
ap-1899	13	14	cosmic	cosmic	ADJ
ap-1899	13	15	microwave	microwave	NOUN
ap-1899	13	16	background	background	NOUN
ap-1899	13	17	radiation	radiation	NOUN
ap-1899	13	18	(	(	PUNCT
ap-1899	13	19	cmb	cmb	PROPN
ap-1899	13	20	)	)	PUNCT
ap-1899	13	21	,	,	PUNCT
ap-1899	13	22	see	see	VERB
ap-1899	13	23	e.g.	e.g.	ADV
ap-1899	13	24	[	[	X
ap-1899	13	25	18	18	NUM
ap-1899	13	26	]	]	PUNCT
ap-1899	13	27	,	,	PUNCT
ap-1899	13	28	have	have	AUX
ap-1899	13	29	lead	lead	VERB
ap-1899	13	30	to	to	ADP
ap-1899	13	31	conclusion	conclusion	NOUN
ap-1899	13	32	that	that	SCONJ
ap-1899	13	33	the	the	DET
ap-1899	13	34	term	term	NOUN
ap-1899	13	35	,	,	PUNCT
ap-1899	13	36	representing	represent	VERB
ap-1899	13	37	“	"	PUNCT
ap-1899	13	38	dark	dark	ADJ
ap-1899	13	39	energy	energy	NOUN
ap-1899	13	40	”	"	PUNCT
ap-1899	13	41	(	(	PUNCT
ap-1899	13	42	de	de	X
ap-1899	13	43	)	)	PUNCT
ap-1899	13	44	contains	contain	VERB
ap-1899	13	45	about	about	ADP
ap-1899	13	46	70	70	NUM
ap-1899	13	47	%	%	NOUN
ap-1899	13	48	of	of	ADP
ap-1899	13	49	the	the	DET
ap-1899	13	50	average	average	ADJ
ap-1899	13	51	energy	energy	NOUN
ap-1899	13	52	density	density	NOUN
ap-1899	13	53	in	in	ADP
ap-1899	13	54	the	the	DET
ap-1899	13	55	present	present	ADJ
ap-1899	13	56	universe	universe	NOUN
ap-1899	13	57	and	and	CCONJ
ap-1899	13	58	its	its	PRON
ap-1899	13	59	properties	property	NOUN
ap-1899	13	60	are	be	AUX
ap-1899	13	61	very	very	ADV
ap-1899	13	62	close	close	ADJ
ap-1899	13	63	to	to	ADP
ap-1899	13	64	the	the	DET
ap-1899	13	65	properties	property	NOUN
ap-1899	13	66	of	of	ADP
ap-1899	13	67	the	the	DET
ap-1899	13	68	einstein	einstein	PROPN
ap-1899	13	69	cosmological	cosmological	ADJ
ap-1899	13	70	λ	λ	PROPN
ap-1899	13	71	term	term	NOUN
ap-1899	13	72	,	,	PUNCT
ap-1899	13	73	with	with	ADP
ap-1899	13	74	a	a	DET
ap-1899	13	75	density	density	NOUN
ap-1899	13	76	ρλ	ρλ	NOUN
ap-1899	13	77	=	=	SYM
ap-1899	13	78	c2	c2	PROPN
ap-1899	13	79	8πgλ	8πgλ	NUM
ap-1899	13	80	=	=	SYM
ap-1899	13	81	0.7	0.7	NUM
ap-1899	13	82	×	×	NOUN
ap-1899	13	83	10−29	10−29	NOUN
ap-1899	13	84	g	g	NOUN
ap-1899	13	85	/	/	SYM
ap-1899	13	86	cm3	cm3	NOUN
ap-1899	13	87	,	,	PUNCT
ap-1899	13	88	and	and	CCONJ
ap-1899	13	89	pressure	pressure	NOUN
ap-1899	13	90	pλ	pλ	NOUN
ap-1899	13	91	=	=	SYM
ap-1899	13	92	−	−	PROPN
ap-1899	13	93	c2	c2	PROPN
ap-1899	13	94	8πgλ	8πgλ	NUM
ap-1899	13	95	,	,	PUNCT
ap-1899	13	96	pλ	pλ	PROPN
ap-1899	13	97	=	=	SYM
ap-1899	13	98	−ρλ	−ρλ	PROPN
ap-1899	13	99	,	,	PUNCT
ap-1899	13	100	c	c	NOUN
ap-1899	13	101	=	=	SYM
ap-1899	13	102	1	1	X
ap-1899	13	103	.	.	X
ap-1899	13	104	merafina	merafina	NOUN
ap-1899	13	105	et	et	PROPN
ap-1899	13	106	al	al	PROPN
ap-1899	13	107	.	.	PUNCT
ap-1899	14	1	[	[	X
ap-1899	14	2	15	15	NUM
ap-1899	14	3	]	]	PUNCT
ap-1899	14	4	constructed	construct	VERB
ap-1899	14	5	newtonian	newtonian	ADJ
ap-1899	14	6	self	self	NOUN
ap-1899	14	7	-	-	PUNCT
ap-1899	14	8	gravitating	gravitate	VERB
ap-1899	14	9	models	model	NOUN
ap-1899	14	10	with	with	ADP
ap-1899	14	11	a	a	DET
ap-1899	14	12	polytropic	polytropic	ADJ
ap-1899	14	13	equation	equation	NOUN
ap-1899	14	14	of	of	ADP
ap-1899	14	15	state	state	NOUN
ap-1899	14	16	in	in	ADP
ap-1899	14	17	presence	presence	NOUN
ap-1899	14	18	of	of	ADP
ap-1899	14	19	de	de	X
ap-1899	14	20	.	.	PUNCT
ap-1899	14	21	the	the	DET
ap-1899	14	22	additional	additional	ADJ
ap-1899	14	23	parameter	parameter	NOUN
ap-1899	14	24	β	β	PROPN
ap-1899	14	25	represents	represent	VERB
ap-1899	14	26	the	the	DET
ap-1899	14	27	ratio	ratio	NOUN
ap-1899	14	28	of	of	ADP
ap-1899	14	29	the	the	DET
ap-1899	14	30	density	density	NOUN
ap-1899	14	31	of	of	ADP
ap-1899	14	32	de	de	X
ap-1899	14	33	to	to	ADP
ap-1899	14	34	the	the	DET
ap-1899	14	35	matter	matter	NOUN
ap-1899	14	36	central	central	ADJ
ap-1899	14	37	density	density	NOUN
ap-1899	14	38	of	of	ADP
ap-1899	14	39	the	the	DET
ap-1899	14	40	configuration	configuration	NOUN
ap-1899	14	41	.	.	PUNCT
ap-1899	15	1	the	the	DET
ap-1899	15	2	limiting	limit	VERB
ap-1899	15	3	values	value	NOUN
ap-1899	15	4	βc	βc	PRON
ap-1899	15	5	were	be	AUX
ap-1899	15	6	found	find	VERB
ap-1899	15	7	,	,	PUNCT
ap-1899	15	8	so	so	SCONJ
ap-1899	15	9	that	that	SCONJ
ap-1899	15	10	at	at	ADP
ap-1899	15	11	β	β	X
ap-1899	15	12	>	>	X
ap-1899	15	13	βc	βc	INTJ
ap-1899	15	14	there	there	PRON
ap-1899	15	15	are	be	VERB
ap-1899	15	16	no	no	DET
ap-1899	15	17	equilibrium	equilibrium	NOUN
ap-1899	15	18	configurations	configuration	NOUN
ap-1899	15	19	.	.	PUNCT
ap-1899	16	1	dynamic	dynamic	ADJ
ap-1899	16	2	stability	stability	NOUN
ap-1899	16	3	of	of	ADP
ap-1899	16	4	the	the	DET
ap-1899	16	5	equilibrium	equilibrium	NOUN
ap-1899	16	6	models	model	NOUN
ap-1899	16	7	with	with	ADP
ap-1899	16	8	de	de	PROPN
ap-1899	16	9	is	be	AUX
ap-1899	16	10	analyzed	analyze	VERB
ap-1899	16	11	,	,	PUNCT
ap-1899	16	12	using	use	VERB
ap-1899	16	13	an	an	DET
ap-1899	16	14	approximate	approximate	ADJ
ap-1899	16	15	energetic	energetic	ADJ
ap-1899	16	16	method	method	NOUN
ap-1899	16	17	.	.	PUNCT
ap-1899	17	1	it	it	PRON
ap-1899	17	2	is	be	AUX
ap-1899	17	3	shown	show	VERB
ap-1899	17	4	that	that	SCONJ
ap-1899	17	5	de	de	PRON
ap-1899	17	6	produces	produce	VERB
ap-1899	17	7	a	a	DET
ap-1899	17	8	destabilizing	destabilizing	ADJ
ap-1899	17	9	effect	effect	NOUN
ap-1899	17	10	contrary	contrary	ADJ
ap-1899	17	11	to	to	ADP
ap-1899	17	12	the	the	DET
ap-1899	17	13	stabilizing	stabilize	VERB
ap-1899	17	14	influence	influence	NOUN
ap-1899	17	15	of	of	ADP
ap-1899	17	16	the	the	DET
ap-1899	17	17	cold	cold	ADJ
ap-1899	17	18	dark	dark	ADJ
ap-1899	17	19	matter	matter	NOUN
ap-1899	18	1	[	[	X
ap-1899	18	2	2	2	NUM
ap-1899	18	3	,	,	PUNCT
ap-1899	18	4	14	14	NUM
ap-1899	18	5	]	]	PUNCT
ap-1899	18	6	.	.	PUNCT
ap-1899	19	1	local	local	ADJ
ap-1899	19	2	dynamical	dynamical	ADJ
ap-1899	19	3	effects	effect	NOUN
ap-1899	19	4	of	of	ADP
ap-1899	19	5	dark	dark	ADJ
ap-1899	19	6	energy	energy	NOUN
ap-1899	19	7	were	be	AUX
ap-1899	19	8	first	first	ADV
ap-1899	19	9	recognized	recognize	VERB
ap-1899	19	10	by	by	ADP
ap-1899	19	11	chernin	chernin	NOUN
ap-1899	19	12	et	et	PROPN
ap-1899	19	13	al	al	PROPN
ap-1899	19	14	.	.	PUNCT
ap-1899	20	1	(	(	PUNCT
ap-1899	20	2	2000	2000	NUM
ap-1899	20	3	)	)	PUNCT
ap-1899	20	4	,	,	PUNCT
ap-1899	20	5	basing	base	VERB
ap-1899	20	6	on	on	ADP
ap-1899	20	7	the	the	DET
ap-1899	20	8	studies	study	NOUN
ap-1899	20	9	of	of	ADP
ap-1899	20	10	the	the	DET
ap-1899	20	11	local	local	ADJ
ap-1899	20	12	group	group	NOUN
ap-1899	20	13	of	of	ADP
ap-1899	20	14	galaxies	galaxy	NOUN
ap-1899	20	15	and	and	CCONJ
ap-1899	20	16	the	the	DET
ap-1899	20	17	expansion	expansion	NOUN
ap-1899	20	18	outflow	outflow	NOUN
ap-1899	20	19	of	of	ADP
ap-1899	20	20	dwarf	dwarf	NOUN
ap-1899	20	21	galaxies	galaxy	NOUN
ap-1899	20	22	around	around	ADP
ap-1899	20	23	it	it	PRON
ap-1899	21	1	[	[	X
ap-1899	21	2	1	1	NUM
ap-1899	21	3	,	,	PUNCT
ap-1899	21	4	5–7	5–7	NUM
ap-1899	21	5	,	,	PUNCT
ap-1899	21	6	12	12	NUM
ap-1899	21	7	,	,	PUNCT
ap-1899	21	8	19	19	NUM
ap-1899	21	9	]	]	PUNCT
ap-1899	21	10	.	.	PUNCT
ap-1899	22	1	chernin	chernin	NOUN
ap-1899	22	2	et	et	PROPN
ap-1899	22	3	al	al	PROPN
ap-1899	22	4	.	.	PUNCT
ap-1899	23	1	[	[	X
ap-1899	23	2	10	10	NUM
ap-1899	23	3	]	]	PUNCT
ap-1899	23	4	have	have	AUX
ap-1899	23	5	shown	show	VERB
ap-1899	23	6	that	that	SCONJ
ap-1899	23	7	in	in	ADP
ap-1899	23	8	the	the	DET
ap-1899	23	9	nearest	near	ADJ
ap-1899	23	10	rich	rich	ADJ
ap-1899	23	11	cluster	cluster	NOUN
ap-1899	23	12	of	of	ADP
ap-1899	23	13	galaxies	galaxy	NOUN
ap-1899	23	14	,	,	PUNCT
ap-1899	23	15	the	the	DET
ap-1899	23	16	virgo	virgo	NOUN
ap-1899	23	17	cluster	cluster	NOUN
ap-1899	23	18	,	,	PUNCT
ap-1899	23	19	the	the	DET
ap-1899	23	20	matter	matter	NOUN
ap-1899	23	21	gravity	gravity	NOUN
ap-1899	23	22	dominates	dominate	VERB
ap-1899	23	23	in	in	ADP
ap-1899	23	24	the	the	DET
ap-1899	23	25	volume	volume	NOUN
ap-1899	23	26	of	of	ADP
ap-1899	23	27	the	the	DET
ap-1899	23	28	cluster	cluster	NOUN
ap-1899	23	29	,	,	PUNCT
ap-1899	23	30	while	while	SCONJ
ap-1899	23	31	the	the	DET
ap-1899	23	32	dark	dark	ADJ
ap-1899	23	33	energy	energy	NOUN
ap-1899	23	34	antigravity	antigravity	NOUN
ap-1899	23	35	is	be	AUX
ap-1899	23	36	stronger	strong	ADJ
ap-1899	23	37	than	than	ADP
ap-1899	23	38	the	the	DET
ap-1899	23	39	matter	matter	NOUN
ap-1899	23	40	gravity	gravity	NOUN
ap-1899	23	41	in	in	ADP
ap-1899	23	42	the	the	DET
ap-1899	23	43	virgocentric	virgocentric	ADJ
ap-1899	23	44	outflow	outflow	NOUN
ap-1899	23	45	at	at	ADP
ap-1899	23	46	the	the	DET
ap-1899	23	47	distances	distance	NOUN
ap-1899	23	48	of	of	ADP
ap-1899	23	49	'	'	NUM
ap-1899	23	50	10	10	NUM
ap-1899	23	51	÷	÷	NUM
ap-1899	23	52	30mpc	30mpc	NOUN
ap-1899	23	53	from	from	ADP
ap-1899	23	54	the	the	DET
ap-1899	23	55	cluster	cluster	NOUN
ap-1899	23	56	center	center	NOUN
ap-1899	23	57	.	.	PUNCT
ap-1899	24	1	the	the	DET
ap-1899	24	2	key	key	ADJ
ap-1899	24	3	physical	physical	ADJ
ap-1899	24	4	parameter	parameter	NOUN
ap-1899	24	5	here	here	ADV
ap-1899	24	6	is	be	AUX
ap-1899	24	7	its	its	PRON
ap-1899	24	8	“	"	PUNCT
ap-1899	24	9	zero	zero	NUM
ap-1899	24	10	-	-	PUNCT
ap-1899	24	11	gravity	gravity	NOUN
ap-1899	24	12	radius	radius	NOUN
ap-1899	24	13	”	"	PUNCT
ap-1899	24	14	which	which	PRON
ap-1899	24	15	is	be	AUX
ap-1899	24	16	the	the	DET
ap-1899	24	17	distance	distance	NOUN
ap-1899	24	18	from	from	ADP
ap-1899	24	19	the	the	DET
ap-1899	24	20	system	system	NOUN
ap-1899	24	21	center	center	NOUN
ap-1899	24	22	,	,	PUNCT
ap-1899	24	23	where	where	SCONJ
ap-1899	24	24	the	the	DET
ap-1899	24	25	matter	matter	NOUN
ap-1899	24	26	gravity	gravity	NOUN
ap-1899	24	27	and	and	CCONJ
ap-1899	24	28	the	the	DET
ap-1899	24	29	dark	dark	ADJ
ap-1899	24	30	energy	energy	NOUN
ap-1899	24	31	antigravity	antigravity	NOUN
ap-1899	24	32	exactly	exactly	ADV
ap-1899	24	33	balance	balance	VERB
ap-1899	24	34	each	each	DET
ap-1899	24	35	other	other	ADJ
ap-1899	24	36	.	.	PUNCT
ap-1899	25	1	bisnovatyi	bisnovatyi	PROPN
ap-1899	25	2	-	-	PUNCT
ap-1899	25	3	kogan	kogan	PROPN
ap-1899	25	4	and	and	CCONJ
ap-1899	25	5	chernin	chernin	NOUN
ap-1899	26	1	[	[	X
ap-1899	26	2	4	4	NUM
ap-1899	26	3	]	]	PUNCT
ap-1899	26	4	have	have	AUX
ap-1899	26	5	considered	consider	VERB
ap-1899	26	6	a	a	DET
ap-1899	26	7	cluster	cluster	NOUN
ap-1899	26	8	as	as	ADP
ap-1899	26	9	a	a	DET
ap-1899	26	10	gravitationally	gravitationally	ADV
ap-1899	26	11	bound	bind	VERB
ap-1899	26	12	quasi	quasi	ADJ
ap-1899	26	13	-	-	ADJ
ap-1899	26	14	spherical	spherical	ADJ
ap-1899	26	15	configuration	configuration	NOUN
ap-1899	26	16	of	of	ADP
ap-1899	26	17	cold	cold	ADJ
ap-1899	26	18	non	non	ADJ
ap-1899	26	19	-	-	ADJ
ap-1899	26	20	relativistic	relativistic	ADJ
ap-1899	26	21	collisionless	collisionless	ADJ
ap-1899	26	22	dark	dark	NOUN
ap-1899	26	23	and	and	CCONJ
ap-1899	26	24	baryonic	baryonic	ADJ
ap-1899	26	25	matter	matter	NOUN
ap-1899	26	26	in	in	ADP
ap-1899	26	27	the	the	DET
ap-1899	26	28	cosmological	cosmological	ADJ
ap-1899	26	29	proportion	proportion	NOUN
ap-1899	26	30	,	,	PUNCT
ap-1899	26	31	in	in	ADP
ap-1899	26	32	presence	presence	NOUN
ap-1899	26	33	of	of	ADP
ap-1899	26	34	a	a	DET
ap-1899	26	35	dark	dark	ADJ
ap-1899	26	36	energy	energy	NOUN
ap-1899	26	37	with	with	ADP
ap-1899	26	38	the	the	DET
ap-1899	26	39	cosmological	cosmological	ADJ
ap-1899	26	40	density	density	NOUN
ap-1899	26	41	ρλ	ρλ	VERB
ap-1899	26	42	in	in	ADP
ap-1899	26	43	the	the	DET
ap-1899	26	44	same	same	ADJ
ap-1899	26	45	volume	volume	NOUN
ap-1899	26	46	.	.	PUNCT
ap-1899	27	1	it	it	PRON
ap-1899	27	2	was	be	AUX
ap-1899	27	3	shown	show	VERB
ap-1899	27	4	that	that	SCONJ
ap-1899	27	5	the	the	DET
ap-1899	27	6	zero	zero	NUM
ap-1899	27	7	-	-	PUNCT
ap-1899	27	8	gravity	gravity	NOUN
ap-1899	27	9	radius	radius	NOUN
ap-1899	27	10	may	may	AUX
ap-1899	27	11	serve	serve	VERB
ap-1899	27	12	as	as	ADP
ap-1899	27	13	a	a	DET
ap-1899	27	14	natural	natural	ADJ
ap-1899	27	15	cut	cut	NOUN
ap-1899	27	16	-	-	PUNCT
ap-1899	27	17	off	off	ADP
ap-1899	27	18	radius	radius	NOUN
ap-1899	27	19	for	for	ADP
ap-1899	27	20	the	the	DET
ap-1899	27	21	dark	dark	ADJ
ap-1899	27	22	matter	matter	NOUN
ap-1899	27	23	halo	halo	NOUN
ap-1899	27	24	of	of	ADP
ap-1899	27	25	a	a	DET
ap-1899	27	26	cluster	cluster	NOUN
ap-1899	27	27	.	.	PUNCT
ap-1899	28	1	the	the	DET
ap-1899	28	2	organization	organization	NOUN
ap-1899	28	3	of	of	ADP
ap-1899	28	4	the	the	DET
ap-1899	28	5	paper	paper	NOUN
ap-1899	28	6	is	be	AUX
ap-1899	28	7	the	the	DET
ap-1899	28	8	following	following	NOUN
ap-1899	28	9	:	:	PUNCT
ap-1899	28	10	in	in	ADP
ap-1899	28	11	sections	section	NOUN
ap-1899	28	12	2	2	NUM
ap-1899	28	13	and	and	CCONJ
ap-1899	28	14	3	3	NUM
ap-1899	28	15	we	we	PRON
ap-1899	28	16	derive	derive	VERB
ap-1899	28	17	equations	equation	NOUN
ap-1899	28	18	,	,	PUNCT
ap-1899	28	19	find	find	VERB
ap-1899	28	20	equilibrium	equilibrium	NOUN
ap-1899	28	21	solutions	solution	NOUN
ap-1899	28	22	,	,	PUNCT
ap-1899	28	23	and	and	CCONJ
ap-1899	28	24	analyze	analyze	VERB
ap-1899	28	25	a	a	DET
ap-1899	28	26	stability	stability	NOUN
ap-1899	28	27	of	of	ADP
ap-1899	28	28	polytropic	polytropic	ADJ
ap-1899	28	29	configurations	configuration	NOUN
ap-1899	28	30	in	in	ADP
ap-1899	28	31	presence	presence	NOUN
ap-1899	28	32	of	of	ADP
ap-1899	28	33	a	a	DET
ap-1899	28	34	dark	dark	ADJ
ap-1899	28	35	energy	energy	NOUN
ap-1899	28	36	,	,	PUNCT
ap-1899	28	37	in	in	ADP
ap-1899	28	38	the	the	DET
ap-1899	28	39	form	form	NOUN
ap-1899	28	40	of	of	ADP
ap-1899	28	41	a	a	DET
ap-1899	28	42	cosmological	cosmological	ADJ
ap-1899	28	43	constant	constant	ADJ
ap-1899	28	44	.	.	PUNCT
ap-1899	29	1	the	the	DET
ap-1899	29	2	section	section	NOUN
ap-1899	29	3	4	4	NUM
ap-1899	29	4	is	be	AUX
ap-1899	29	5	devoted	devote	VERB
ap-1899	29	6	to	to	ADP
ap-1899	29	7	application	application	NOUN
ap-1899	29	8	of	of	ADP
ap-1899	29	9	these	these	DET
ap-1899	29	10	result	result	NOUN
ap-1899	29	11	to	to	ADP
ap-1899	29	12	the	the	DET
ap-1899	29	13	estimation	estimation	NOUN
ap-1899	29	14	of	of	ADP
ap-1899	29	15	parameters	parameter	NOUN
ap-1899	29	16	of	of	ADP
ap-1899	29	17	local	local	ADJ
ap-1899	29	18	and	and	CCONJ
ap-1899	29	19	virgo	virgo	NOUN
ap-1899	29	20	clusters	cluster	NOUN
ap-1899	29	21	.	.	PUNCT
ap-1899	30	1	this	this	DET
ap-1899	30	2	presentation	presentation	NOUN
ap-1899	30	3	follows	follow	VERB
ap-1899	30	4	the	the	DET
ap-1899	30	5	papers	paper	NOUN
ap-1899	30	6	of	of	ADP
ap-1899	30	7	merafina	merafina	PROPN
ap-1899	30	8	et	et	PROPN
ap-1899	30	9	al	al	PROPN
ap-1899	30	10	.	.	PUNCT
ap-1899	31	1	[	[	X
ap-1899	31	2	15	15	NUM
ap-1899	31	3	]	]	PUNCT
ap-1899	31	4	,	,	PUNCT
ap-1899	31	5	and	and	CCONJ
ap-1899	31	6	bisnovatyi	bisnovatyi	PROPN
ap-1899	31	7	-	-	PUNCT
ap-1899	31	8	kogan	kogan	PROPN
ap-1899	31	9	and	and	CCONJ
ap-1899	31	10	chernin	chernin	NOUN
ap-1899	32	1	[	[	X
ap-1899	32	2	4	4	NUM
ap-1899	32	3	]	]	PUNCT
ap-1899	32	4	.	.	PUNCT
ap-1899	33	1	2	2	X
ap-1899	33	2	.	.	X
ap-1899	33	3	main	main	ADJ
ap-1899	33	4	equations	equation	NOUN
ap-1899	33	5	let	let	VERB
ap-1899	33	6	us	we	PRON
ap-1899	33	7	consider	consider	VERB
ap-1899	33	8	spherically	spherically	NOUN
ap-1899	33	9	symmetric	symmetric	ADJ
ap-1899	33	10	equilibrium	equilibrium	NOUN
ap-1899	33	11	configuration	configuration	NOUN
ap-1899	33	12	in	in	ADP
ap-1899	33	13	newtonian	newtonian	ADJ
ap-1899	33	14	gravity	gravity	NOUN
ap-1899	33	15	,	,	PUNCT
ap-1899	33	16	in	in	ADP
ap-1899	33	17	presence	presence	NOUN
ap-1899	33	18	of	of	ADP
ap-1899	33	19	de	de	X
ap-1899	33	20	,	,	PUNCT
ap-1899	33	21	represented	represent	VERB
ap-1899	33	22	by	by	ADP
ap-1899	33	23	the	the	DET
ap-1899	33	24	cosmological	cosmological	ADJ
ap-1899	33	25	constant	constant	ADJ
ap-1899	33	26	λ	λ	NOUN
ap-1899	33	27	.	.	PUNCT
ap-1899	34	1	in	in	ADP
ap-1899	34	2	this	this	DET
ap-1899	34	3	case	case	NOUN
ap-1899	34	4	,	,	PUNCT
ap-1899	34	5	the	the	DET
ap-1899	34	6	gravitational	gravitational	ADJ
ap-1899	34	7	force	force	NOUN
ap-1899	34	8	fg	fg	PRON
ap-1899	34	9	which	which	PRON
ap-1899	34	10	a	a	DET
ap-1899	34	11	unit	unit	NOUN
ap-1899	34	12	mass	mass	NOUN
ap-1899	34	13	undergoes	undergo	VERB
ap-1899	34	14	in	in	ADP
ap-1899	34	15	a	a	DET
ap-1899	34	16	spherically	spherically	NOUN
ap-1899	34	17	symmetric	symmetric	ADJ
ap-1899	34	18	body	body	NOUN
ap-1899	34	19	is	be	AUX
ap-1899	34	20	written	write	VERB
ap-1899	34	21	as	as	ADP
ap-1899	34	22	fg	fg	PROPN
ap-1899	34	23	=	=	SYM
ap-1899	34	24	−gmr2	−gmr2	NOUN
ap-1899	35	1	+	+	CCONJ
ap-1899	35	2	λr	λr	NOUN
ap-1899	35	3	3	3	NUM
ap-1899	35	4	,	,	PUNCT
ap-1899	35	5	where	where	SCONJ
ap-1899	35	6	m	m	PROPN
ap-1899	35	7	=	=	SYM
ap-1899	35	8	m(r	m(r	PROPN
ap-1899	35	9	)	)	PUNCT
ap-1899	35	10	is	be	AUX
ap-1899	35	11	the	the	DET
ap-1899	35	12	mass	mass	NOUN
ap-1899	35	13	inside	inside	ADP
ap-1899	35	14	the	the	DET
ap-1899	35	15	radius	radius	NOUN
ap-1899	35	16	r.	r.	VERB
ap-1899	35	17	its	its	PRON
ap-1899	35	18	connections	connection	NOUN
ap-1899	35	19	with	with	ADP
ap-1899	35	20	the	the	DET
ap-1899	35	21	matter	matter	NOUN
ap-1899	35	22	den550	den550	NOUN
ap-1899	35	23	http://dx.doi.org/10.14311/ap.2013.53.0550	http://dx.doi.org/10.14311/ap.2013.53.0550	X
ap-1899	35	24	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	NOUN
ap-1899	35	25	vol	vol	NOUN
ap-1899	35	26	.	.	PUNCT
ap-1899	36	1	53	53	NUM
ap-1899	36	2	supplement/2013	supplement/2013	ADJ
ap-1899	36	3	dark	dark	ADJ
ap-1899	36	4	energy	energy	NOUN
ap-1899	36	5	and	and	CCONJ
ap-1899	36	6	key	key	ADJ
ap-1899	36	7	physical	physical	ADJ
ap-1899	36	8	parameters	parameter	NOUN
ap-1899	36	9	of	of	ADP
ap-1899	36	10	clusters	cluster	NOUN
ap-1899	36	11	of	of	ADP
ap-1899	36	12	galaxies	galaxy	NOUN
ap-1899	36	13	sity	sity	PROPN
ap-1899	36	14	ρ	ρ	PROPN
ap-1899	36	15	and	and	CCONJ
ap-1899	36	16	the	the	DET
ap-1899	36	17	equilibrium	equilibrium	NOUN
ap-1899	36	18	equation	equation	NOUN
ap-1899	36	19	are	be	AUX
ap-1899	36	20	respectively	respectively	ADV
ap-1899	36	21	written	write	VERB
ap-1899	36	22	as	as	ADP
ap-1899	36	23	dm	dm	PROPN
ap-1899	36	24	dr	dr	PROPN
ap-1899	36	25	=	=	PROPN
ap-1899	36	26	4πρr2	4πρr2	PROPN
ap-1899	36	27	,	,	PUNCT
ap-1899	36	28	1	1	NUM
ap-1899	36	29	ρ	ρ	NUM
ap-1899	36	30	dp	dp	NOUN
ap-1899	36	31	dr	dr	PROPN
ap-1899	36	32	=	=	PROPN
ap-1899	36	33	−gmr2	−gmr2	NOUN
ap-1899	37	1	+	+	CCONJ
ap-1899	37	2	λr	λr	NOUN
ap-1899	37	3	3	3	NUM
ap-1899	37	4	,	,	PUNCT
ap-1899	37	5	and	and	CCONJ
ap-1899	37	6	the	the	DET
ap-1899	37	7	de	de	ADJ
ap-1899	37	8	density	density	NOUN
ap-1899	37	9	ρv	ρv	NOUN
ap-1899	37	10	is	be	AUX
ap-1899	37	11	connected	connect	VERB
ap-1899	37	12	with	with	ADP
ap-1899	37	13	λ	λ	PROPN
ap-1899	37	14	as	as	ADP
ap-1899	37	15	ρv	ρv	NOUN
ap-1899	37	16	=	=	SYM
ap-1899	37	17	λ	λ	PROPN
ap-1899	37	18	8πg	8πg	NOUN
ap-1899	37	19	.	.	PUNCT
ap-1899	38	1	let	let	VERB
ap-1899	38	2	us	we	PRON
ap-1899	38	3	consider	consider	VERB
ap-1899	38	4	a	a	DET
ap-1899	38	5	polytropic	polytropic	ADJ
ap-1899	38	6	equation	equation	NOUN
ap-1899	38	7	of	of	ADP
ap-1899	38	8	state	state	NOUN
ap-1899	38	9	p	p	NOUN
ap-1899	38	10	=	=	NOUN
ap-1899	38	11	kργ	kργ	NOUN
ap-1899	38	12	,	,	PUNCT
ap-1899	38	13	with	with	ADP
ap-1899	38	14	γ	γ	X
ap-1899	38	15	=	=	SYM
ap-1899	38	16	1	1	NUM
ap-1899	38	17	+	+	NUM
ap-1899	38	18	1	1	NUM
ap-1899	38	19	/	/	SYM
ap-1899	38	20	n.	n.	NOUN
ap-1899	38	21	by	by	ADP
ap-1899	38	22	introducing	introduce	VERB
ap-1899	38	23	the	the	DET
ap-1899	38	24	nondimensional	nondimensional	ADJ
ap-1899	38	25	variables	variable	NOUN
ap-1899	38	26	ξ	ξ	PROPN
ap-1899	38	27	and	and	CCONJ
ap-1899	38	28	θn	θn	INTJ
ap-1899	39	1	so	so	SCONJ
ap-1899	39	2	that	that	SCONJ
ap-1899	39	3	r	r	NOUN
ap-1899	39	4	=	=	SYM
ap-1899	39	5	αξ	αξ	NOUN
ap-1899	39	6	and	and	CCONJ
ap-1899	39	7	ρ	ρ	NUM
ap-1899	39	8	=	=	SYM
ap-1899	39	9	ρ0θn	ρ0θn	X
ap-1899	39	10	n	n	CCONJ
ap-1899	39	11	,	,	PUNCT
ap-1899	39	12	α2	α2	PROPN
ap-1899	39	13	=	=	SYM
ap-1899	39	14	(	(	PUNCT
ap-1899	39	15	n+1)k	n+1)k	PROPN
ap-1899	39	16	4πg	4πg	NOUN
ap-1899	39	17	ρ	ρ	PROPN
ap-1899	39	18	1	1	NUM
ap-1899	39	19	n	n	NUM
ap-1899	39	20	−1	−1	NOUN
ap-1899	39	21	0	0	NUM
ap-1899	39	22	,	,	PUNCT
ap-1899	39	23	we	we	PRON
ap-1899	39	24	obtain	obtain	VERB
ap-1899	39	25	the	the	DET
ap-1899	39	26	lane	lane	NOUN
ap-1899	39	27	–	–	PUNCT
ap-1899	39	28	emden	emden	ADJ
ap-1899	39	29	equation	equation	NOUN
ap-1899	39	30	for	for	ADP
ap-1899	39	31	polytropic	polytropic	NOUN
ap-1899	39	32	models	model	NOUN
ap-1899	39	33	with	with	ADP
ap-1899	39	34	de	de	PROPN
ap-1899	39	35	1	1	NUM
ap-1899	39	36	ξ2	ξ2	NOUN
ap-1899	39	37	d	d	X
ap-1899	39	38	dξ	dξ	PROPN
ap-1899	39	39	(	(	PUNCT
ap-1899	39	40	ξ2	ξ2	PROPN
ap-1899	39	41	dθn	dθn	NOUN
ap-1899	39	42	dξ	dξ	PROPN
ap-1899	39	43	)	)	PUNCT
ap-1899	40	1	=	=	PUNCT
ap-1899	40	2	−θnn	−θnn	NOUN
ap-1899	40	3	+	+	CCONJ
ap-1899	40	4	β	β	X
ap-1899	40	5	.	.	PUNCT
ap-1899	41	1	(	(	PUNCT
ap-1899	41	2	1	1	X
ap-1899	41	3	)	)	PUNCT
ap-1899	41	4	here	here	ADV
ap-1899	41	5	ρ0	ρ0	PROPN
ap-1899	41	6	is	be	AUX
ap-1899	41	7	the	the	DET
ap-1899	41	8	matter	matter	ADJ
ap-1899	41	9	central	central	ADJ
ap-1899	41	10	density	density	NOUN
ap-1899	41	11	,	,	PUNCT
ap-1899	41	12	α	α	PROPN
ap-1899	41	13	is	be	AUX
ap-1899	41	14	the	the	DET
ap-1899	41	15	characteristic	characteristic	ADJ
ap-1899	41	16	radius	radius	NOUN
ap-1899	41	17	,	,	PUNCT
ap-1899	41	18	β	β	X
ap-1899	41	19	=	=	PUNCT
ap-1899	41	20	λ/4πgρ0	λ/4πgρ0	NOUN
ap-1899	42	1	=	=	PUNCT
ap-1899	42	2	2ρv	2ρv	NOUN
ap-1899	42	3	/	/	SYM
ap-1899	42	4	ρ0	ρ0	PROPN
ap-1899	42	5	is	be	AUX
ap-1899	42	6	twice	twice	DET
ap-1899	42	7	the	the	DET
ap-1899	42	8	ratio	ratio	NOUN
ap-1899	42	9	of	of	ADP
ap-1899	42	10	the	the	DET
ap-1899	42	11	de	de	PROPN
ap-1899	42	12	density	density	NOUN
ap-1899	42	13	to	to	ADP
ap-1899	42	14	the	the	DET
ap-1899	42	15	central	central	ADJ
ap-1899	42	16	density	density	NOUN
ap-1899	42	17	of	of	ADP
ap-1899	42	18	the	the	DET
ap-1899	42	19	configuration	configuration	NOUN
ap-1899	42	20	.	.	PUNCT
ap-1899	43	1	the	the	DET
ap-1899	43	2	spherically	spherically	PROPN
ap-1899	43	3	symmetric	symmetric	ADJ
ap-1899	43	4	poisson	poisson	NOUN
ap-1899	43	5	equation	equation	NOUN
ap-1899	43	6	for	for	ADP
ap-1899	43	7	the	the	DET
ap-1899	43	8	gravitational	gravitational	ADJ
ap-1899	43	9	potential	potential	NOUN
ap-1899	43	10	ϕ∗	ϕ∗	NOUN
ap-1899	43	11	in	in	ADP
ap-1899	43	12	presence	presence	NOUN
ap-1899	43	13	of	of	ADP
ap-1899	43	14	de	de	X
ap-1899	43	15	is	be	AUX
ap-1899	43	16	given	give	VERB
ap-1899	43	17	by	by	ADP
ap-1899	43	18	1	1	NUM
ap-1899	43	19	r2	r2	PROPN
ap-1899	43	20	d	d	X
ap-1899	43	21	dr	dr	PROPN
ap-1899	43	22	(	(	PUNCT
ap-1899	43	23	r2	r2	PROPN
ap-1899	43	24	dϕ∗	dϕ∗	PROPN
ap-1899	43	25	dr	dr	PROPN
ap-1899	43	26	)	)	PUNCT
ap-1899	43	27	=	=	PUNCT
ap-1899	43	28	4πg(ρ−2ρv	4πg(ρ−2ρv	NUM
ap-1899	43	29	)	)	PUNCT
ap-1899	43	30	,	,	PUNCT
ap-1899	43	31	ϕ∗	ϕ∗	NOUN
ap-1899	43	32	=	=	SYM
ap-1899	43	33	ϕ+ϕλ	ϕ+ϕλ	PROPN
ap-1899	43	34	.	.	PUNCT
ap-1899	44	1	(	(	PUNCT
ap-1899	44	2	2	2	X
ap-1899	44	3	)	)	PUNCT
ap-1899	44	4	the	the	DET
ap-1899	44	5	gravitational	gravitational	ADJ
ap-1899	44	6	energy	energy	NOUN
ap-1899	44	7	of	of	ADP
ap-1899	44	8	a	a	DET
ap-1899	44	9	spherical	spherical	ADJ
ap-1899	44	10	body	body	NOUN
ap-1899	44	11	εg	εg	VERB
ap-1899	44	12	is	be	AUX
ap-1899	44	13	εg	εg	ADP
ap-1899	44	14	=	=	PUNCT
ap-1899	44	15	−g	−g	NOUN
ap-1899	44	16	∫m	∫m	PROPN
ap-1899	44	17	0	0	NUM
ap-1899	44	18	m	m	VERB
ap-1899	44	19	r	r	NOUN
ap-1899	44	20	dm	dm	PROPN
ap-1899	44	21	,	,	PUNCT
ap-1899	44	22	m	m	VERB
ap-1899	44	23	=	=	ADJ
ap-1899	45	1	4π	4π	NUM
ap-1899	45	2	∫	∫	NOUN
ap-1899	45	3	r	r	NOUN
ap-1899	45	4	0	0	NUM
ap-1899	45	5	ρr	ρr	PROPN
ap-1899	45	6	2dr	2dr	ADJ
ap-1899	45	7	,	,	PUNCT
ap-1899	45	8	where	where	SCONJ
ap-1899	45	9	m	m	PROPN
ap-1899	45	10	=	=	SYM
ap-1899	45	11	m(r	m(r	PROPN
ap-1899	45	12	)	)	PUNCT
ap-1899	45	13	,	,	PUNCT
ap-1899	45	14	r	r	NOUN
ap-1899	45	15	is	be	AUX
ap-1899	45	16	the	the	DET
ap-1899	45	17	total	total	ADJ
ap-1899	45	18	radius	radius	NOUN
ap-1899	45	19	,	,	PUNCT
ap-1899	45	20	and	and	CCONJ
ap-1899	45	21	the	the	DET
ap-1899	45	22	energy	energy	NOUN
ap-1899	45	23	ελ	ελ	NOUN
ap-1899	45	24	,	,	PUNCT
ap-1899	45	25	representing	represent	VERB
ap-1899	45	26	the	the	DET
ap-1899	45	27	interaction	interaction	NOUN
ap-1899	45	28	of	of	ADP
ap-1899	45	29	the	the	DET
ap-1899	45	30	matter	matter	NOUN
ap-1899	45	31	with	with	ADP
ap-1899	45	32	de	de	NOUN
ap-1899	45	33	,	,	PUNCT
ap-1899	45	34	is	be	AUX
ap-1899	45	35	given	give	VERB
ap-1899	45	36	by	by	ADP
ap-1899	45	37	ελ	ελ	NOUN
ap-1899	45	38	=	=	SYM
ap-1899	45	39	∫m	∫m	PROPN
ap-1899	45	40	0	0	NUM
ap-1899	45	41	ϕλdm	ϕλdm	NOUN
ap-1899	45	42	,	,	PUNCT
ap-1899	45	43	ϕλ	ϕλ	X
ap-1899	46	1	=	=	PUNCT
ap-1899	46	2	−4πgρvr	−4πgρvr	PROPN
ap-1899	46	3	2/3	2/3	NUM
ap-1899	46	4	.	.	PUNCT
ap-1899	47	1	the	the	DET
ap-1899	47	2	relations	relation	NOUN
ap-1899	47	3	between	between	ADP
ap-1899	47	4	gravitational	gravitational	PROPN
ap-1899	47	5	εg	εg	NOUN
ap-1899	47	6	,	,	PUNCT
ap-1899	47	7	thermal	thermal	ADJ
ap-1899	47	8	εth	εth	NOUN
ap-1899	47	9	energies	energy	NOUN
ap-1899	47	10	,	,	PUNCT
ap-1899	47	11	and	and	CCONJ
ap-1899	47	12	the	the	DET
ap-1899	47	13	energy	energy	NOUN
ap-1899	47	14	ελ	ελ	NOUN
ap-1899	47	15	(	(	PUNCT
ap-1899	47	16	the	the	DET
ap-1899	47	17	virial	virial	ADJ
ap-1899	47	18	theorem	theorem	NOUN
ap-1899	47	19	)	)	PUNCT
ap-1899	47	20	have	have	AUX
ap-1899	47	21	been	be	AUX
ap-1899	47	22	found	find	VERB
ap-1899	47	23	by	by	ADP
ap-1899	47	24	merafina	merafina	PROPN
ap-1899	47	25	et	et	PROPN
ap-1899	47	26	al	al	PROPN
ap-1899	47	27	.	.	PUNCT
ap-1899	48	1	[	[	X
ap-1899	48	2	15	15	NUM
ap-1899	48	3	]	]	PUNCT
ap-1899	48	4	.	.	PUNCT
ap-1899	49	1	εg	εg	PROPN
ap-1899	50	1	=	=	SYM
ap-1899	50	2	−	−	PROPN
ap-1899	50	3	3	3	NUM
ap-1899	50	4	5−	5−	NUM
ap-1899	50	5	n	n	CCONJ
ap-1899	50	6	gm2	gm2	NOUN
ap-1899	50	7	r	r	NOUN
ap-1899	50	8	−	−	NOUN
ap-1899	50	9	λ	λ	NOUN
ap-1899	50	10	2(5−	2(5−	NUM
ap-1899	50	11	n)mr2−	n)mr2−	NOUN
ap-1899	50	12	2n+	2n+	NUM
ap-1899	50	13	5	5	NUM
ap-1899	50	14	5−	5−	NUM
ap-1899	50	15	n	n	PRON
ap-1899	50	16	ελ	ελ	NOUN
ap-1899	50	17	,	,	PUNCT
ap-1899	50	18	(	(	PUNCT
ap-1899	50	19	3	3	X
ap-1899	50	20	)	)	PUNCT
ap-1899	50	21	εth	εth	NOUN
ap-1899	50	22	=	=	SYM
ap-1899	50	23	n	n	PROPN
ap-1899	50	24	5−	5−	NUM
ap-1899	50	25	n	n	CCONJ
ap-1899	50	26	gm2	gm2	NOUN
ap-1899	50	27	r	r	NOUN
ap-1899	50	28	+	+	CCONJ
ap-1899	50	29	nλ	nλ	NOUN
ap-1899	50	30	6(5−	6(5−	NUM
ap-1899	50	31	n)mr2	n)mr2	NOUN
ap-1899	50	32	+	+	CCONJ
ap-1899	50	33	5n	5n	NUM
ap-1899	50	34	5−	5−	NUM
ap-1899	50	35	nελ	nελ	NOUN
ap-1899	50	36	.	.	PUNCT
ap-1899	51	1	(	(	PUNCT
ap-1899	51	2	4	4	X
ap-1899	51	3	)	)	PUNCT
ap-1899	51	4	εtot	εtot	NOUN
ap-1899	51	5	=	=	PUNCT
ap-1899	51	6	n−	n−	NOUN
ap-1899	51	7	3	3	NUM
ap-1899	51	8	5−	5−	NUM
ap-1899	51	9	n	n	CCONJ
ap-1899	51	10	gm2	gm2	NOUN
ap-1899	51	11	r	r	NOUN
ap-1899	51	12	+	+	CCONJ
ap-1899	51	13	(	(	PUNCT
ap-1899	51	14	n−	n−	NOUN
ap-1899	51	15	3)λ	3)λ	NUM
ap-1899	51	16	6(5−	6(5−	NUM
ap-1899	51	17	n)mr2	n)mr2	NOUN
ap-1899	51	18	+	+	CCONJ
ap-1899	51	19	2n	2n	NUM
ap-1899	51	20	5−	5−	NUM
ap-1899	51	21	nελ	nελ	NOUN
ap-1899	51	22	.	.	PUNCT
ap-1899	52	1	(	(	PUNCT
ap-1899	52	2	5	5	NUM
ap-1899	52	3	)	)	PUNCT
ap-1899	52	4	3	3	NUM
ap-1899	52	5	.	.	X
ap-1899	52	6	equilibrium	equilibrium	NOUN
ap-1899	52	7	solutions	solution	NOUN
ap-1899	52	8	the	the	DET
ap-1899	52	9	equilibrium	equilibrium	NOUN
ap-1899	52	10	mass	mass	PROPN
ap-1899	52	11	mn	mn	PROPN
ap-1899	52	12	for	for	ADP
ap-1899	52	13	a	a	DET
ap-1899	52	14	polytropic	polytropic	ADJ
ap-1899	52	15	configuration	configuration	NOUN
ap-1899	52	16	which	which	PRON
ap-1899	52	17	is	be	AUX
ap-1899	52	18	solution	solution	NOUN
ap-1899	52	19	of	of	ADP
ap-1899	52	20	the	the	DET
ap-1899	52	21	lane	lane	NOUN
ap-1899	52	22	–	–	PUNCT
ap-1899	52	23	emden	emden	ADJ
ap-1899	52	24	equation	equation	NOUN
ap-1899	52	25	is	be	AUX
ap-1899	52	26	written	write	VERB
ap-1899	52	27	as	as	ADP
ap-1899	52	28	mn	mn	PROPN
ap-1899	52	29	=	=	PROPN
ap-1899	52	30	4π	4π	NUM
ap-1899	52	31	[	[	PUNCT
ap-1899	52	32	(	(	PUNCT
ap-1899	52	33	n+	n+	X
ap-1899	52	34	1)k	1)k	NUM
ap-1899	52	35	4πg	4πg	NOUN
ap-1899	52	36	]	]	PUNCT
ap-1899	52	37	3/2	3/2	NUM
ap-1899	52	38	ρ	ρ	PROPN
ap-1899	52	39	3	3	NUM
ap-1899	52	40	2n	2n	NUM
ap-1899	52	41	−	−	NOUN
ap-1899	52	42	1	1	NUM
ap-1899	52	43	2	2	NUM
ap-1899	52	44	0	0	NUM
ap-1899	52	45	∫	∫	NOUN
ap-1899	52	46	ξout	ξout	ADP
ap-1899	52	47	0	0	NUM
ap-1899	52	48	θn	θn	NOUN
ap-1899	52	49	nξ2dξ	nξ2dξ	PROPN
ap-1899	52	50	.	.	PUNCT
ap-1899	53	1	(	(	PUNCT
ap-1899	53	2	6	6	X
ap-1899	53	3	)	)	PUNCT
ap-1899	53	4	using	use	VERB
ap-1899	53	5	eq	eq	ADP
ap-1899	53	6	.	.	PROPN
ap-1899	53	7	1	1	NUM
ap-1899	53	8	,	,	PUNCT
ap-1899	53	9	the	the	DET
ap-1899	53	10	integral	integral	ADJ
ap-1899	53	11	in	in	ADP
ap-1899	53	12	the	the	DET
ap-1899	53	13	right	right	ADJ
ap-1899	53	14	site	site	NOUN
ap-1899	53	15	may	may	AUX
ap-1899	53	16	be	be	AUX
ap-1899	53	17	calculated	calculate	VERB
ap-1899	53	18	by	by	ADP
ap-1899	53	19	partial	partial	ADJ
ap-1899	53	20	integration	integration	NOUN
ap-1899	53	21	,	,	PUNCT
ap-1899	53	22	giving	give	VERB
ap-1899	53	23	the	the	DET
ap-1899	53	24	following	follow	VERB
ap-1899	53	25	relation	relation	NOUN
ap-1899	53	26	for	for	ADP
ap-1899	53	27	the	the	DET
ap-1899	53	28	mass	mass	NOUN
ap-1899	53	29	of	of	ADP
ap-1899	53	30	the	the	DET
ap-1899	53	31	configuration	configuration	NOUN
ap-1899	53	32	mn	mn	PROPN
ap-1899	54	1	=	=	SYM
ap-1899	54	2	4πρ0α	4πρ0α	NUM
ap-1899	54	3	3	3	NUM
ap-1899	54	4	[	[	PUNCT
ap-1899	54	5	−ξ2	−ξ2	VERB
ap-1899	54	6	out	out	ADP
ap-1899	54	7	(	(	PUNCT
ap-1899	54	8	dθn	dθn	INTJ
ap-1899	54	9	dξ	dξ	PROPN
ap-1899	54	10	)	)	PUNCT
ap-1899	54	11	out	out	ADP
ap-1899	55	1	+	+	CCONJ
ap-1899	55	2	βξ3	βξ3	PROPN
ap-1899	55	3	out	out	ADV
ap-1899	55	4	3	3	NUM
ap-1899	55	5	]	]	PUNCT
ap-1899	55	6	.	.	PUNCT
ap-1899	56	1	here	here	ADV
ap-1899	56	2	θn(ξ	θn(ξ	PUNCT
ap-1899	56	3	)	)	PUNCT
ap-1899	56	4	is	be	AUX
ap-1899	56	5	not	not	PART
ap-1899	56	6	a	a	DET
ap-1899	56	7	unique	unique	ADJ
ap-1899	56	8	function	function	NOUN
ap-1899	56	9	,	,	PUNCT
ap-1899	56	10	but	but	CCONJ
ap-1899	56	11	depends	depend	VERB
ap-1899	56	12	on	on	ADP
ap-1899	56	13	the	the	DET
ap-1899	56	14	parameter	parameter	NOUN
ap-1899	56	15	β	β	NOUN
ap-1899	56	16	,	,	PUNCT
ap-1899	56	17	according	accord	VERB
ap-1899	56	18	to	to	ADP
ap-1899	56	19	eq	eq	NOUN
ap-1899	56	20	.	.	PROPN
ap-1899	56	21	1	1	NUM
ap-1899	56	22	.	.	X
ap-1899	57	1	for	for	ADP
ap-1899	57	2	the	the	DET
ap-1899	57	3	limiting	limit	VERB
ap-1899	57	4	configuration	configuration	NOUN
ap-1899	57	5	,	,	PUNCT
ap-1899	57	6	with	with	ADP
ap-1899	57	7	β	β	X
ap-1899	57	8	=	=	SYM
ap-1899	57	9	βc	βc	PROPN
ap-1899	57	10	,	,	PUNCT
ap-1899	57	11	we	we	PRON
ap-1899	57	12	have	have	VERB
ap-1899	57	13	on	on	ADP
ap-1899	57	14	the	the	DET
ap-1899	57	15	outer	outer	ADJ
ap-1899	57	16	boundary	boundary	ADJ
ap-1899	57	17	θn(ξout	θn(ξout	NOUN
ap-1899	57	18	)	)	PUNCT
ap-1899	57	19	=	=	SYM
ap-1899	57	20	0	0	NUM
ap-1899	57	21	,	,	PUNCT
ap-1899	57	22	dθn	dθn	VERB
ap-1899	57	23	dξ	dξ	ADV
ap-1899	57	24	|ξout	|ξout	ADP
ap-1899	57	25	=	=	SYM
ap-1899	57	26	0	0	NUM
ap-1899	57	27	,	,	PUNCT
ap-1899	57	28	and	and	CCONJ
ap-1899	57	29	the	the	DET
ap-1899	57	30	mass	mass	PROPN
ap-1899	57	31	mn	mn	PROPN
ap-1899	57	32	,	,	PUNCT
ap-1899	57	33	lim	lim	NOUN
ap-1899	57	34	of	of	ADP
ap-1899	57	35	the	the	DET
ap-1899	57	36	limiting	limit	VERB
ap-1899	57	37	configuration	configuration	NOUN
ap-1899	57	38	is	be	AUX
ap-1899	57	39	written	write	VERB
ap-1899	57	40	as	as	ADP
ap-1899	57	41	mn	mn	PROPN
ap-1899	57	42	,	,	PUNCT
ap-1899	58	1	lim	lim	PROPN
ap-1899	58	2	=	=	PROPN
ap-1899	58	3	4π	4π	NUM
ap-1899	58	4	3	3	NUM
ap-1899	58	5	rout	rout	NOUN
ap-1899	58	6	3βcρ0c	3βcρ0c	NUM
ap-1899	58	7	=	=	SYM
ap-1899	58	8	4π	4π	NUM
ap-1899	58	9	3	3	NUM
ap-1899	58	10	rout	rout	NOUN
ap-1899	58	11	3ρ̄c	3ρ̄c	PROPN
ap-1899	58	12	,	,	PUNCT
ap-1899	58	13	so	so	SCONJ
ap-1899	58	14	that	that	SCONJ
ap-1899	58	15	the	the	DET
ap-1899	58	16	limiting	limit	VERB
ap-1899	58	17	value	value	NOUN
ap-1899	58	18	βc	βc	INTJ
ap-1899	58	19	is	be	AUX
ap-1899	58	20	exactly	exactly	ADV
ap-1899	58	21	equal	equal	ADJ
ap-1899	58	22	to	to	ADP
ap-1899	58	23	the	the	DET
ap-1899	58	24	ratio	ratio	NOUN
ap-1899	58	25	of	of	ADP
ap-1899	58	26	the	the	DET
ap-1899	58	27	average	average	ADJ
ap-1899	58	28	matter	matter	NOUN
ap-1899	58	29	density	density	NOUN
ap-1899	58	30	ρ̄c	ρ̄c	PROPN
ap-1899	58	31	of	of	ADP
ap-1899	58	32	the	the	DET
ap-1899	58	33	limiting	limit	VERB
ap-1899	58	34	configuration	configuration	NOUN
ap-1899	58	35	to	to	ADP
ap-1899	58	36	its	its	PRON
ap-1899	58	37	central	central	ADJ
ap-1899	58	38	density	density	NOUN
ap-1899	59	1	ρ0c	ρ0c	NOUN
ap-1899	59	2	:	:	PUNCT
ap-1899	59	3	βc	βc	PROPN
ap-1899	59	4	=	=	SYM
ap-1899	59	5	ρ̄c	ρ̄c	PROPN
ap-1899	59	6	/	/	SYM
ap-1899	59	7	ρ0c	ρ0c	NOUN
ap-1899	59	8	.	.	PUNCT
ap-1899	60	1	for	for	ADP
ap-1899	60	2	the	the	DET
ap-1899	60	3	lane	lane	NOUN
ap-1899	60	4	–	–	PUNCT
ap-1899	60	5	emden	emden	ADJ
ap-1899	60	6	solution	solution	NOUN
ap-1899	60	7	with	with	ADP
ap-1899	60	8	β	β	X
ap-1899	60	9	=	=	SYM
ap-1899	60	10	0	0	NUM
ap-1899	60	11	,	,	PUNCT
ap-1899	60	12	we	we	PRON
ap-1899	60	13	have	have	VERB
ap-1899	60	14	ρ0	ρ0	PROPN
ap-1899	60	15	/	/	SYM
ap-1899	60	16	ρ̄	ρ̄	NOUN
ap-1899	60	17	=	=	NUM
ap-1899	60	18	3.290	3.290	NUM
ap-1899	60	19	,	,	PUNCT
ap-1899	60	20	5.99	5.99	NUM
ap-1899	60	21	,	,	PUNCT
ap-1899	60	22	54.18	54.18	NUM
ap-1899	60	23	for	for	ADP
ap-1899	60	24	n	n	NOUN
ap-1899	60	25	=	=	SYM
ap-1899	60	26	1	1	NUM
ap-1899	60	27	,	,	PUNCT
ap-1899	60	28	1.5	1.5	NUM
ap-1899	60	29	,	,	PUNCT
ap-1899	60	30	3	3	NUM
ap-1899	60	31	,	,	PUNCT
ap-1899	60	32	respectively	respectively	ADV
ap-1899	60	33	.	.	PUNCT
ap-1899	61	1	let	let	VERB
ap-1899	61	2	us	we	PRON
ap-1899	61	3	consider	consider	VERB
ap-1899	61	4	the	the	DET
ap-1899	61	5	curve	curve	NOUN
ap-1899	61	6	m(ρ0	m(ρ0	PROPN
ap-1899	61	7	)	)	PUNCT
ap-1899	61	8	for	for	ADP
ap-1899	61	9	a	a	DET
ap-1899	61	10	constant	constant	ADJ
ap-1899	61	11	de	de	NOUN
ap-1899	61	12	density	density	NOUN
ap-1899	61	13	ρv	ρv	ADP
ap-1899	61	14	=	=	PUNCT
ap-1899	62	1	λ/8πg	λ/8πg	PROPN
ap-1899	62	2	.	.	PUNCT
ap-1899	63	1	for	for	ADP
ap-1899	63	2	plotting	plot	VERB
ap-1899	63	3	this	this	DET
ap-1899	63	4	curve	curve	NOUN
ap-1899	63	5	in	in	ADP
ap-1899	63	6	the	the	DET
ap-1899	63	7	nondimensional	nondimensional	ADJ
ap-1899	63	8	form	form	NOUN
ap-1899	63	9	,	,	PUNCT
ap-1899	63	10	we	we	PRON
ap-1899	63	11	introduce	introduce	VERB
ap-1899	63	12	an	an	DET
ap-1899	63	13	arbitrary	arbitrary	ADJ
ap-1899	63	14	scaling	scaling	ADJ
ap-1899	63	15	constant	constant	ADJ
ap-1899	63	16	ρch	ρch	NOUN
ap-1899	63	17	and	and	CCONJ
ap-1899	63	18	write	write	VERB
ap-1899	63	19	the	the	DET
ap-1899	63	20	mass	mass	NOUN
ap-1899	63	21	in	in	ADP
ap-1899	63	22	the	the	DET
ap-1899	63	23	form	form	NOUN
ap-1899	63	24	mn	mn	PROPN
ap-1899	63	25	=	=	SYM
ap-1899	63	26	4π	4π	NUM
ap-1899	63	27	[	[	PUNCT
ap-1899	63	28	(	(	PUNCT
ap-1899	63	29	n+	n+	X
ap-1899	63	30	1)k	1)k	NUM
ap-1899	63	31	4πg	4πg	NOUN
ap-1899	63	32	]	]	PUNCT
ap-1899	63	33	3/2	3/2	NUM
ap-1899	63	34	ρ	ρ	PROPN
ap-1899	63	35	3	3	NUM
ap-1899	63	36	2n	2n	NUM
ap-1899	63	37	−	−	NOUN
ap-1899	63	38	1	1	NUM
ap-1899	63	39	2	2	NUM
ap-1899	63	40	ch	ch	NOUN
ap-1899	63	41	m̂n	m̂n	NUM
ap-1899	63	42	,	,	PUNCT
ap-1899	63	43	with	with	ADP
ap-1899	63	44	m̂n	m̂n	NOUN
ap-1899	63	45	=	=	SYM
ap-1899	63	46	ρ̂	ρ̂	NUM
ap-1899	63	47	3	3	NUM
ap-1899	63	48	2n	2n	NUM
ap-1899	63	49	−	−	NOUN
ap-1899	63	50	1	1	NUM
ap-1899	63	51	2	2	NUM
ap-1899	63	52	0	0	NUM
ap-1899	63	53	[	[	PUNCT
ap-1899	63	54	βξ3	βξ3	PROPN
ap-1899	63	55	out	out	ADV
ap-1899	63	56	3	3	NUM
ap-1899	63	57	−	−	NOUN
ap-1899	63	58	ξ2	ξ2	NOUN
ap-1899	63	59	out	out	ADP
ap-1899	63	60	(	(	PUNCT
ap-1899	63	61	dθn	dθn	INTJ
ap-1899	63	62	dξ	dξ	PROPN
ap-1899	63	63	)	)	PUNCT
ap-1899	63	64	out	out	ADP
ap-1899	63	65	]	]	PUNCT
ap-1899	63	66	,	,	PUNCT
ap-1899	63	67	where	where	SCONJ
ap-1899	63	68	ρ̂0	ρ̂0	NOUN
ap-1899	63	69	=	=	SYM
ap-1899	63	70	ρ0	ρ0	PROPN
ap-1899	63	71	/	/	SYM
ap-1899	63	72	ρch	ρch	NOUN
ap-1899	63	73	is	be	AUX
ap-1899	63	74	the	the	DET
ap-1899	63	75	nondimensional	nondimensional	ADJ
ap-1899	63	76	central	central	ADJ
ap-1899	63	77	density	density	NOUN
ap-1899	63	78	,	,	PUNCT
ap-1899	63	79	m̂n	m̂n	X
ap-1899	63	80	is	be	AUX
ap-1899	63	81	the	the	DET
ap-1899	63	82	nondimensional	nondimensional	PROPN
ap-1899	63	83	mass	mass	PROPN
ap-1899	63	84	.	.	PUNCT
ap-1899	64	1	the	the	DET
ap-1899	64	2	numerical	numerical	ADJ
ap-1899	64	3	solutions	solution	NOUN
ap-1899	64	4	of	of	ADP
ap-1899	64	5	the	the	DET
ap-1899	64	6	eq	eq	NOUN
ap-1899	64	7	.	.	PROPN
ap-1899	64	8	1	1	NUM
ap-1899	64	9	have	have	AUX
ap-1899	64	10	been	be	AUX
ap-1899	64	11	obtained	obtain	VERB
ap-1899	64	12	by	by	ADP
ap-1899	64	13	merafina	merafina	PROPN
ap-1899	64	14	et	et	PROPN
ap-1899	64	15	al	al	PROPN
ap-1899	64	16	.	.	PUNCT
ap-1899	65	1	[	[	X
ap-1899	65	2	15	15	NUM
ap-1899	65	3	]	]	X
ap-1899	65	4	for	for	ADP
ap-1899	65	5	n	n	NOUN
ap-1899	65	6	=	=	SYM
ap-1899	65	7	1	1	NUM
ap-1899	65	8	,	,	PUNCT
ap-1899	65	9	3	3	NUM
ap-1899	65	10	,	,	PUNCT
ap-1899	65	11	1.5	1.5	NUM
ap-1899	65	12	.	.	PUNCT
ap-1899	66	1	at	at	ADP
ap-1899	66	2	n	n	NOUN
ap-1899	66	3	=	=	SYM
ap-1899	66	4	1	1	NUM
ap-1899	66	5	we	we	PRON
ap-1899	66	6	have	have	VERB
ap-1899	66	7	ξout	ξout	VERB
ap-1899	66	8	=	=	SYM
ap-1899	66	9	π	π	PROPN
ap-1899	66	10	,	,	PUNCT
ap-1899	66	11	3.490	3.490	NUM
ap-1899	66	12	,	,	PUNCT
ap-1899	66	13	4.493	4.493	NUM
ap-1899	66	14	,	,	PUNCT
ap-1899	66	15	for	for	ADP
ap-1899	66	16	β	β	X
ap-1899	66	17	=	=	SYM
ap-1899	66	18	0	0	PROPN
ap-1899	66	19	,	,	PUNCT
ap-1899	66	20	β	β	X
ap-1899	66	21	=	=	PUNCT
ap-1899	66	22	0.5βc	0.5βc	PUNCT
ap-1899	66	23	=	=	SYM
ap-1899	66	24	0.089	0.089	NUM
ap-1899	66	25	,	,	PUNCT
ap-1899	66	26	β	β	X
ap-1899	66	27	=	=	PUNCT
ap-1899	66	28	βc	βc	PROPN
ap-1899	66	29	=	=	PUNCT
ap-1899	66	30	0.178	0.178	NUM
ap-1899	66	31	,	,	PUNCT
ap-1899	66	32	respectively	respectively	ADV
ap-1899	66	33	.	.	PUNCT
ap-1899	67	1	the	the	DET
ap-1899	67	2	nondimensional	nondimensional	ADJ
ap-1899	67	3	curve	curve	NOUN
ap-1899	67	4	m̂n(ρ̂0	m̂n(ρ̂0	NOUN
ap-1899	67	5	)	)	PUNCT
ap-1899	67	6	,	,	PUNCT
ap-1899	67	7	at	at	ADP
ap-1899	67	8	constant	constant	ADJ
ap-1899	67	9	ρv	ρv	ADP
ap-1899	67	10	=	=	PUNCT
ap-1899	67	11	βρ0/2	βρ0/2	PROPN
ap-1899	67	12	is	be	AUX
ap-1899	67	13	plotted	plot	VERB
ap-1899	67	14	in	in	ADP
ap-1899	67	15	fig	fig	NOUN
ap-1899	67	16	.	.	PUNCT
ap-1899	68	1	1	1	NUM
ap-1899	68	2	for	for	ADP
ap-1899	68	3	βin	βin	NOUN
ap-1899	68	4	=	=	SYM
ap-1899	68	5	0	0	PROPN
ap-1899	68	6	,	,	PUNCT
ap-1899	68	7	βin	βin	NOUN
ap-1899	69	1	=	=	SYM
ap-1899	69	2	0.5βc	0.5βc	PROPN
ap-1899	69	3	,	,	PUNCT
ap-1899	69	4	βin	βin	NOUN
ap-1899	69	5	=	=	SYM
ap-1899	69	6	βc	βc	PROPN
ap-1899	69	7	,	,	PUNCT
ap-1899	69	8	for	for	ADP
ap-1899	69	9	which	which	PRON
ap-1899	69	10	m̂1	m̂1	X
ap-1899	69	11	=	=	SYM
ap-1899	69	12	π	π	PROPN
ap-1899	69	13	,	,	PUNCT
ap-1899	69	14	3.941	3.941	NUM
ap-1899	69	15	,	,	PUNCT
ap-1899	69	16	5.397	5.397	NUM
ap-1899	69	17	at	at	ADP
ap-1899	69	18	ρ̂0	ρ̂0	NOUN
ap-1899	69	19	=	=	SYM
ap-1899	69	20	1	1	NUM
ap-1899	69	21	,	,	PUNCT
ap-1899	69	22	ρ̂0β	ρ̂0β	NOUN
ap-1899	69	23	=	=	PUNCT
ap-1899	69	24	βin	βin	NOUN
ap-1899	69	25	=	=	SYM
ap-1899	69	26	const	const	PROPN
ap-1899	69	27	.	.	PUNCT
ap-1899	70	1	at	at	ADP
ap-1899	70	2	n	n	NOUN
ap-1899	70	3	=	=	SYM
ap-1899	70	4	3	3	NUM
ap-1899	70	5	the	the	DET
ap-1899	70	6	numerical	numerical	ADJ
ap-1899	70	7	solution	solution	NOUN
ap-1899	70	8	of	of	ADP
ap-1899	70	9	the	the	DET
ap-1899	70	10	equilibrium	equilibrium	NOUN
ap-1899	70	11	equation	equation	NOUN
ap-1899	70	12	gives	give	VERB
ap-1899	70	13	ξout	ξout	ADP
ap-1899	70	14	=	=	SYM
ap-1899	70	15	6.897	6.897	NUM
ap-1899	70	16	,	,	PUNCT
ap-1899	70	17	7.489	7.489	NUM
ap-1899	70	18	,	,	PUNCT
ap-1899	70	19	9.889	9.889	NUM
ap-1899	70	20	,	,	PUNCT
ap-1899	70	21	for	for	ADP
ap-1899	70	22	β	β	X
ap-1899	70	23	=	=	SYM
ap-1899	70	24	0	0	PROPN
ap-1899	70	25	,	,	PUNCT
ap-1899	70	26	β	β	X
ap-1899	70	27	=	=	PUNCT
ap-1899	70	28	0.5βc	0.5βc	PUNCT
ap-1899	70	29	=	=	SYM
ap-1899	70	30	0.003	0.003	NUM
ap-1899	70	31	,	,	PUNCT
ap-1899	70	32	β	β	X
ap-1899	70	33	=	=	PUNCT
ap-1899	70	34	βc	βc	PROPN
ap-1899	70	35	=	=	SYM
ap-1899	70	36	0.006	0.006	NUM
ap-1899	70	37	,	,	PUNCT
ap-1899	70	38	respectively	respectively	ADV
ap-1899	70	39	.	.	PUNCT
ap-1899	71	1	in	in	ADP
ap-1899	71	2	fig	fig	NOUN
ap-1899	71	3	.	.	PUNCT
ap-1899	72	1	2	2	NUM
ap-1899	72	2	we	we	PRON
ap-1899	72	3	show	show	VERB
ap-1899	72	4	the	the	DET
ap-1899	72	5	behavior	behavior	NOUN
ap-1899	72	6	of	of	ADP
ap-1899	72	7	m̂3(ρ̂0)|λ	m̂3(ρ̂0)|λ	PROPN
ap-1899	72	8	,	,	PUNCT
ap-1899	72	9	for	for	ADP
ap-1899	72	10	different	different	ADJ
ap-1899	72	11	values	value	NOUN
ap-1899	72	12	of	of	ADP
ap-1899	72	13	βin	βin	NOUN
ap-1899	72	14	=	=	SYM
ap-1899	72	15	0	0	PROPN
ap-1899	72	16	,	,	PUNCT
ap-1899	72	17	βin	βin	NOUN
ap-1899	72	18	=	=	SYM
ap-1899	72	19	0.5βc	0.5βc	PROPN
ap-1899	72	20	,	,	PUNCT
ap-1899	72	21	βin	βin	NOUN
ap-1899	72	22	=	=	SYM
ap-1899	72	23	βc	βc	PROPN
ap-1899	72	24	,	,	PUNCT
ap-1899	72	25	for	for	ADP
ap-1899	72	26	which	which	PRON
ap-1899	72	27	m̂3	m̂3	NOUN
ap-1899	72	28	=	=	NOUN
ap-1899	72	29	2.018	2.018	NUM
ap-1899	72	30	,	,	PUNCT
ap-1899	72	31	2.060	2.060	NUM
ap-1899	72	32	,	,	PUNCT
ap-1899	72	33	2.109	2.109	NUM
ap-1899	72	34	,	,	PUNCT
ap-1899	72	35	at	at	ADP
ap-1899	72	36	ρ̂0	ρ̂0	NOUN
ap-1899	72	37	=	=	SYM
ap-1899	72	38	1	1	NUM
ap-1899	72	39	,	,	PUNCT
ap-1899	72	40	respectively	respectively	ADV
ap-1899	72	41	.	.	PUNCT
ap-1899	73	1	at	at	ADP
ap-1899	73	2	n	n	NOUN
ap-1899	73	3	=	=	NUM
ap-1899	73	4	1.5	1.5	NUM
ap-1899	73	5	we	we	PRON
ap-1899	73	6	have	have	VERB
ap-1899	73	7	ξout	ξout	VERB
ap-1899	73	8	=	=	SYM
ap-1899	73	9	3.654	3.654	NUM
ap-1899	73	10	,	,	PUNCT
ap-1899	73	11	3.984	3.984	NUM
ap-1899	73	12	,	,	PUNCT
ap-1899	73	13	5.086	5.086	NUM
ap-1899	73	14	,	,	PUNCT
ap-1899	73	15	for	for	ADP
ap-1899	73	16	β	β	X
ap-1899	73	17	=	=	SYM
ap-1899	73	18	0	0	PROPN
ap-1899	73	19	,	,	PUNCT
ap-1899	73	20	β	β	X
ap-1899	73	21	=	=	PUNCT
ap-1899	73	22	0.5βc	0.5βc	PUNCT
ap-1899	73	23	=	=	SYM
ap-1899	73	24	0.041	0.041	NUM
ap-1899	73	25	,	,	PUNCT
ap-1899	73	26	β	β	X
ap-1899	73	27	=	=	PUNCT
ap-1899	73	28	βc	βc	PROPN
ap-1899	73	29	=	=	SYM
ap-1899	73	30	0.082	0.082	NUM
ap-1899	73	31	,	,	PUNCT
ap-1899	73	32	respectively	respectively	ADV
ap-1899	73	33	.	.	PUNCT
ap-1899	74	1	for	for	ADP
ap-1899	74	2	βin	βin	NOUN
ap-1899	74	3	=	=	SYM
ap-1899	74	4	0	0	PROPN
ap-1899	74	5	,	,	PUNCT
ap-1899	74	6	βin	βin	NOUN
ap-1899	74	7	=	=	SYM
ap-1899	74	8	0.5βc	0.5βc	PROPN
ap-1899	74	9	,	,	PUNCT
ap-1899	74	10	βin	βin	X
ap-1899	74	11	=	=	SYM
ap-1899	74	12	βc	βc	PROPN
ap-1899	74	13	,	,	PUNCT
ap-1899	74	14	we	we	PRON
ap-1899	74	15	have	have	VERB
ap-1899	74	16	m̂3/2	m̂3/2	VERB
ap-1899	75	1	=	=	NOUN
ap-1899	75	2	2.714	2.714	NUM
ap-1899	75	3	,	,	PUNCT
ap-1899	75	4	3.081	3.081	NUM
ap-1899	75	5	,	,	PUNCT
ap-1899	75	6	3.622	3.622	NUM
ap-1899	75	7	,	,	PUNCT
ap-1899	75	8	at	at	ADP
ap-1899	75	9	ρ̂0	ρ̂0	NOUN
ap-1899	75	10	=	=	SYM
ap-1899	75	11	1	1	NUM
ap-1899	75	12	,	,	PUNCT
ap-1899	75	13	respectively	respectively	ADV
ap-1899	75	14	.	.	PUNCT
ap-1899	76	1	stability	stability	NOUN
ap-1899	76	2	analysis	analysis	NOUN
ap-1899	76	3	of	of	ADP
ap-1899	76	4	these	these	DET
ap-1899	76	5	configurations	configuration	NOUN
ap-1899	76	6	done	do	VERB
ap-1899	76	7	by	by	ADP
ap-1899	76	8	merafina	merafina	PROPN
ap-1899	76	9	et	et	PROPN
ap-1899	76	10	al	al	PROPN
ap-1899	76	11	.	.	PUNCT
ap-1899	77	1	[	[	X
ap-1899	77	2	15	15	NUM
ap-1899	77	3	]	]	AUX
ap-1899	77	4	using	use	VERB
ap-1899	77	5	an	an	DET
ap-1899	77	6	approximate	approximate	ADJ
ap-1899	77	7	energetic	energetic	ADJ
ap-1899	77	8	method	method	NOUN
ap-1899	77	9	[	[	X
ap-1899	77	10	3	3	NUM
ap-1899	77	11	,	,	PUNCT
ap-1899	77	12	20	20	NUM
ap-1899	77	13	]	]	PUNCT
ap-1899	77	14	.	.	PUNCT
ap-1899	78	1	the	the	DET
ap-1899	78	2	density	density	NOUN
ap-1899	78	3	in	in	ADP
ap-1899	78	4	the	the	DET
ap-1899	78	5	configuration	configuration	NOUN
ap-1899	78	6	is	be	AUX
ap-1899	78	7	distributed	distribute	VERB
ap-1899	78	8	according	accord	VERB
ap-1899	78	9	to	to	ADP
ap-1899	78	10	the	the	DET
ap-1899	78	11	lane	lane	NOUN
ap-1899	78	12	–	–	PUNCT
ap-1899	78	13	emden	emden	ADJ
ap-1899	78	14	solution	solution	NOUN
ap-1899	78	15	at	at	ADP
ap-1899	78	16	n	n	PROPN
ap-1899	78	17	=	=	SYM
ap-1899	78	18	3	3	NUM
ap-1899	78	19	,	,	PUNCT
ap-1899	78	20	ρ	ρ	PROPN
ap-1899	78	21	=	=	SYM
ap-1899	78	22	ρ0	ρ0	PROPN
ap-1899	78	23	θ	θ	PROPN
ap-1899	78	24	3	3	NUM
ap-1899	78	25	3(ξ	3(ξ	NUM
ap-1899	78	26	)	)	PUNCT
ap-1899	78	27	,	,	PUNCT
ap-1899	78	28	and	and	CCONJ
ap-1899	78	29	we	we	PRON
ap-1899	78	30	investigate	investigate	VERB
ap-1899	78	31	the	the	DET
ap-1899	78	32	stability	stability	NOUN
ap-1899	78	33	to	to	ADP
ap-1899	78	34	homologous	homologous	ADJ
ap-1899	78	35	perturbations	perturbation	NOUN
ap-1899	78	36	.	.	PUNCT
ap-1899	79	1	taking	take	VERB
ap-1899	79	2	ρ	ρ	PROPN
ap-1899	79	3	=	=	SYM
ap-1899	79	4	ρ0φ	ρ0φ	PROPN
ap-1899	79	5	(	(	PUNCT
ap-1899	79	6	m	m	VERB
ap-1899	79	7	m	m	VERB
ap-1899	79	8	)	)	PUNCT
ap-1899	79	9	,	,	PUNCT
ap-1899	79	10	with	with	ADP
ap-1899	79	11	a	a	DET
ap-1899	79	12	nondimensional	nondimensional	ADJ
ap-1899	79	13	function	function	NOUN
ap-1899	79	14	φ	φ	NOUN
ap-1899	79	15	,	,	PUNCT
ap-1899	79	16	remaining	remain	VERB
ap-1899	79	17	constant	constant	ADJ
ap-1899	79	18	during	during	ADP
ap-1899	79	19	homologous	homologous	ADJ
ap-1899	79	20	perturbations	perturbation	NOUN
ap-1899	79	21	we	we	PRON
ap-1899	79	22	write	write	VERB
ap-1899	79	23	the	the	DET
ap-1899	79	24	derivative	derivative	NOUN
ap-1899	79	25	of	of	ADP
ap-1899	79	26	the	the	DET
ap-1899	79	27	total	total	ADJ
ap-1899	79	28	energy	energy	NOUN
ap-1899	79	29	ε	ε	PROPN
ap-1899	79	30	equal	equal	ADJ
ap-1899	79	31	to	to	ADP
ap-1899	79	32	zero	zero	NUM
ap-1899	79	33	,	,	PUNCT
ap-1899	79	34	as	as	ADP
ap-1899	79	35	an	an	DET
ap-1899	79	36	equilibrium	equilibrium	NOUN
ap-1899	79	37	equation	equation	NOUN
ap-1899	79	38	∂ε	∂ε	PROPN
ap-1899	79	39	∂ρ	∂ρ	NOUN
ap-1899	79	40	1/3	1/3	NUM
ap-1899	79	41	0	0	NUM
ap-1899	80	1	=	=	SYM
ap-1899	80	2	3ρ−4/3	3ρ−4/3	NUM
ap-1899	80	3	0	0	NUM
ap-1899	80	4	∫	∫	PROPN
ap-1899	80	5	m	m	NOUN
ap-1899	80	6	0	0	NUM
ap-1899	81	1	p	p	X
ap-1899	81	2	dm	dm	PROPN
ap-1899	81	3	φ(m	φ(m	NOUN
ap-1899	81	4	/	/	SYM
ap-1899	81	5	m	m	NOUN
ap-1899	81	6	)	)	PUNCT
ap-1899	81	7	−	−	PROPN
ap-1899	82	1	0.639gm5/3	0.639gm5/3	NOUN
ap-1899	82	2	+	+	CCONJ
ap-1899	82	3	+	+	NUM
ap-1899	82	4	0.208λm5/3ρ−1	0.208λm5/3ρ−1	NUM
ap-1899	82	5	0	0	NUM
ap-1899	83	1	−	−	NOUN
ap-1899	83	2	1.84	1.84	NUM
ap-1899	83	3	g	g	PROPN
ap-1899	83	4	2m7/3	2m7/3	PROPN
ap-1899	83	5	c2	c2	PROPN
ap-1899	83	6	ρ	ρ	NUM
ap-1899	83	7	1/3	1/3	NUM
ap-1899	83	8	0	0	NUM
ap-1899	84	1	=	=	SYM
ap-1899	84	2	0	0	PROPN
ap-1899	84	3	.	.	PUNCT
ap-1899	85	1	(	(	PUNCT
ap-1899	85	2	7	7	X
ap-1899	85	3	)	)	PUNCT
ap-1899	85	4	the	the	DET
ap-1899	85	5	dynamical	dynamical	ADJ
ap-1899	85	6	stability	stability	NOUN
ap-1899	85	7	is	be	AUX
ap-1899	85	8	defined	define	VERB
ap-1899	85	9	by	by	ADP
ap-1899	85	10	the	the	DET
ap-1899	85	11	sign	sign	NOUN
ap-1899	85	12	of	of	ADP
ap-1899	85	13	the	the	DET
ap-1899	85	14	second	second	ADJ
ap-1899	85	15	derivative	derivative	NOUN
ap-1899	85	16	.	.	PUNCT
ap-1899	86	1	the	the	DET
ap-1899	86	2	de	de	ADJ
ap-1899	86	3	input	input	NOUN
ap-1899	86	4	in	in	ADP
ap-1899	86	5	the	the	DET
ap-1899	86	6	stability	stability	NOUN
ap-1899	86	7	of	of	ADP
ap-1899	86	8	the	the	DET
ap-1899	86	9	configuration	configuration	NOUN
ap-1899	86	10	is	be	AUX
ap-1899	86	11	negative	negative	ADJ
ap-1899	86	12	like	like	ADP
ap-1899	86	13	the	the	DET
ap-1899	86	14	general	general	ADJ
ap-1899	86	15	relativistic	relativistic	ADJ
ap-1899	86	16	correction	correction	NOUN
ap-1899	86	17	[	[	X
ap-1899	86	18	15	15	NUM
ap-1899	86	19	]	]	SYM
ap-1899	86	20	.	.	PUNCT
ap-1899	87	1	551	551	NUM
ap-1899	87	2	gennady	gennady	PROPN
ap-1899	87	3	s.	s.	PROPN
ap-1899	87	4	bisnovatyi	bisnovatyi	PROPN
ap-1899	87	5	-	-	PUNCT
ap-1899	87	6	kogan	kogan	PROPN
ap-1899	87	7	,	,	PUNCT
ap-1899	87	8	artur	artur	PROPN
ap-1899	87	9	chernin	chernin	PROPN
ap-1899	87	10	,	,	PUNCT
ap-1899	87	11	marco	marco	PROPN
ap-1899	87	12	merafina	merafina	PROPN
ap-1899	87	13	acta	acta	PROPN
ap-1899	87	14	polytechnica	polytechnica	PROPN
ap-1899	87	15	figure	figure	NOUN
ap-1899	87	16	1	1	NUM
ap-1899	87	17	.	.	PUNCT
ap-1899	87	18	nondimensional	nondimensional	ADJ
ap-1899	87	19	mass	mass	NOUN
ap-1899	87	20	m̂1	m̂1	PROPN
ap-1899	87	21	of	of	ADP
ap-1899	87	22	the	the	DET
ap-1899	87	23	equilibrium	equilibrium	NOUN
ap-1899	87	24	polytropic	polytropic	ADJ
ap-1899	87	25	configurations	configuration	NOUN
ap-1899	87	26	at	at	ADP
ap-1899	87	27	n	n	NOUN
ap-1899	87	28	=	=	SYM
ap-1899	87	29	1	1	NUM
ap-1899	87	30	as	as	ADP
ap-1899	87	31	a	a	DET
ap-1899	87	32	function	function	NOUN
ap-1899	87	33	of	of	ADP
ap-1899	87	34	the	the	DET
ap-1899	87	35	nondimensional	nondimensional	ADJ
ap-1899	87	36	central	central	ADJ
ap-1899	87	37	density	density	NOUN
ap-1899	87	38	ρ̂0	ρ̂0	PROPN
ap-1899	87	39	,	,	PUNCT
ap-1899	87	40	for	for	ADP
ap-1899	87	41	different	different	ADJ
ap-1899	87	42	values	value	NOUN
ap-1899	87	43	of	of	ADP
ap-1899	87	44	βin	βin	PROPN
ap-1899	87	45	.	.	PUNCT
ap-1899	88	1	the	the	DET
ap-1899	88	2	cosmological	cosmological	ADJ
ap-1899	88	3	constant	constant	ADJ
ap-1899	88	4	λ	λ	NOUN
ap-1899	88	5	is	be	AUX
ap-1899	88	6	the	the	DET
ap-1899	88	7	same	same	ADJ
ap-1899	88	8	along	along	ADP
ap-1899	88	9	each	each	DET
ap-1899	88	10	curve	curve	NOUN
ap-1899	88	11	.	.	PUNCT
ap-1899	89	1	the	the	DET
ap-1899	89	2	curves	curve	NOUN
ap-1899	89	3	at	at	ADP
ap-1899	89	4	βin	βin	PROPN
ap-1899	89	5	6=	6=	ADP
ap-1899	89	6	0	0	NUM
ap-1899	89	7	are	be	AUX
ap-1899	89	8	limited	limit	VERB
ap-1899	89	9	by	by	ADP
ap-1899	89	10	the	the	DET
ap-1899	89	11	configuration	configuration	NOUN
ap-1899	89	12	with	with	ADP
ap-1899	89	13	β	β	X
ap-1899	89	14	=	=	SYM
ap-1899	89	15	βc	βc	PROPN
ap-1899	89	16	.	.	PROPN
ap-1899	90	1	4	4	X
ap-1899	90	2	.	.	NUM
ap-1899	90	3	local	local	ADJ
ap-1899	90	4	and	and	CCONJ
ap-1899	90	5	virgo	virgo	NOUN
ap-1899	90	6	clusters	cluster	NOUN
ap-1899	90	7	for	for	ADP
ap-1899	90	8	presently	presently	ADV
ap-1899	90	9	accepted	accept	VERB
ap-1899	90	10	values	value	NOUN
ap-1899	90	11	of	of	ADP
ap-1899	90	12	the	the	DET
ap-1899	90	13	de	de	PROPN
ap-1899	90	14	density	density	NOUN
ap-1899	90	15	ρv	ρv	ADP
ap-1899	90	16	=	=	PUNCT
ap-1899	90	17	(	(	PUNCT
ap-1899	90	18	0.72±0.03)×10−29	0.72±0.03)×10−29	NUM
ap-1899	90	19	g	g	NOUN
ap-1899	90	20	/	/	SYM
ap-1899	90	21	cm3	cm3	NOUN
ap-1899	90	22	,	,	PUNCT
ap-1899	90	23	the	the	DET
ap-1899	90	24	mass	mass	NOUN
ap-1899	90	25	of	of	ADP
ap-1899	90	26	the	the	DET
ap-1899	90	27	local	local	ADJ
ap-1899	90	28	group	group	NOUN
ap-1899	90	29	,	,	PUNCT
ap-1899	90	30	including	include	VERB
ap-1899	90	31	the	the	DET
ap-1899	90	32	dark	dark	ADJ
ap-1899	90	33	mater	mater	NOUN
ap-1899	90	34	input	input	NOUN
ap-1899	90	35	,	,	PUNCT
ap-1899	90	36	is	be	AUX
ap-1899	90	37	between	between	ADP
ap-1899	90	38	mlc	mlc	NOUN
ap-1899	90	39	∼	∼	NOUN
ap-1899	90	40	3.5	3.5	NUM
ap-1899	90	41	×	×	NOUN
ap-1899	90	42	1012	1012	NUM
ap-1899	90	43	m	m	NOUN
ap-1899	90	44	�	�	PROPN
ap-1899	91	1	[	[	X
ap-1899	91	2	8	8	NUM
ap-1899	91	3	]	]	PUNCT
ap-1899	91	4	,	,	PUNCT
ap-1899	91	5	and	and	CCONJ
ap-1899	91	6	mlc	mlc	NOUN
ap-1899	91	7	∼	∼	VERB
ap-1899	91	8	1.3	1.3	NUM
ap-1899	91	9	×	×	NOUN
ap-1899	91	10	1012	1012	NUM
ap-1899	91	11	m	m	NOUN
ap-1899	91	12	�	�	PROPN
ap-1899	92	1	[	[	X
ap-1899	92	2	11	11	NUM
ap-1899	92	3	]	]	PUNCT
ap-1899	92	4	.	.	PUNCT
ap-1899	93	1	the	the	DET
ap-1899	93	2	radius	radius	PROPN
ap-1899	93	3	rlc	rlc	PROPN
ap-1899	93	4	of	of	ADP
ap-1899	93	5	the	the	DET
ap-1899	93	6	lc	lc	NOUN
ap-1899	93	7	may	may	AUX
ap-1899	93	8	be	be	AUX
ap-1899	93	9	estimated	estimate	VERB
ap-1899	93	10	by	by	ADP
ap-1899	93	11	measuring	measure	VERB
ap-1899	93	12	the	the	DET
ap-1899	93	13	velocity	velocity	NOUN
ap-1899	93	14	dispersion	dispersion	NOUN
ap-1899	93	15	vt	vt	PROPN
ap-1899	93	16	of	of	ADP
ap-1899	93	17	galaxies	galaxy	NOUN
ap-1899	93	18	in	in	ADP
ap-1899	93	19	lc	lc	PROPN
ap-1899	93	20	and	and	CCONJ
ap-1899	93	21	by	by	ADP
ap-1899	93	22	the	the	DET
ap-1899	93	23	application	application	NOUN
ap-1899	93	24	of	of	ADP
ap-1899	93	25	the	the	DET
ap-1899	93	26	virial	virial	ADJ
ap-1899	93	27	theorem	theorem	NOUN
ap-1899	93	28	,	,	PUNCT
ap-1899	93	29	so	so	SCONJ
ap-1899	93	30	that	that	SCONJ
ap-1899	93	31	rlc	rlc	PROPN
ap-1899	93	32	∼	∼	NOUN
ap-1899	93	33	√	√	PROPN
ap-1899	93	34	(	(	PUNCT
ap-1899	93	35	gmlc	gmlc	PROPN
ap-1899	93	36	/	/	SYM
ap-1899	93	37	vt	vt	PROPN
ap-1899	93	38	)	)	PUNCT
ap-1899	93	39	.	.	PUNCT
ap-1899	94	1	the	the	DET
ap-1899	94	2	estimated	estimate	VERB
ap-1899	94	3	vt	vt	PROPN
ap-1899	94	4	=	=	PROPN
ap-1899	94	5	63	63	NUM
ap-1899	94	6	km	km	NOUN
ap-1899	94	7	/	/	SYM
ap-1899	94	8	s	s	PART
ap-1899	94	9	is	be	AUX
ap-1899	94	10	close	close	ADJ
ap-1899	94	11	to	to	ADP
ap-1899	94	12	the	the	DET
ap-1899	94	13	value	value	NOUN
ap-1899	94	14	of	of	ADP
ap-1899	94	15	the	the	DET
ap-1899	94	16	local	local	ADJ
ap-1899	94	17	hubble	hubble	ADJ
ap-1899	94	18	constant	constant	ADJ
ap-1899	94	19	h	h	NOUN
ap-1899	94	20	=	=	SYM
ap-1899	95	1	68	68	NUM
ap-1899	95	2	km	km	NOUN
ap-1899	95	3	s−1	s−1	PROPN
ap-1899	95	4	mpc−1	mpc−1	PROPN
ap-1899	95	5	[	[	X
ap-1899	95	6	11	11	NUM
ap-1899	95	7	]	]	PUNCT
ap-1899	95	8	.	.	PUNCT
ap-1899	96	1	the	the	DET
ap-1899	96	2	radius	radius	NOUN
ap-1899	96	3	of	of	ADP
ap-1899	96	4	the	the	DET
ap-1899	96	5	lc	lc	NOUN
ap-1899	96	6	may	may	AUX
ap-1899	96	7	be	be	AUX
ap-1899	96	8	estimated	estimate	VERB
ap-1899	96	9	as	as	ADP
ap-1899	96	10	rlc	rlc	PROPN
ap-1899	96	11	=	=	PROPN
ap-1899	96	12	(	(	PUNCT
ap-1899	96	13	gmlc	gmlc	PROPN
ap-1899	96	14	/	/	SYM
ap-1899	96	15	v	v	NOUN
ap-1899	96	16	2	2	NUM
ap-1899	96	17	t	t	NOUN
ap-1899	96	18	)	)	PUNCT
ap-1899	96	19	=	=	PUNCT
ap-1899	96	20	(	(	PUNCT
ap-1899	96	21	1.5÷	1.5÷	NUM
ap-1899	96	22	4)mpc	4)mpc	NUM
ap-1899	96	23	.	.	PUNCT
ap-1899	97	1	chernin	chernin	NOUN
ap-1899	97	2	et	et	PROPN
ap-1899	97	3	al	al	PROPN
ap-1899	97	4	.	.	PUNCT
ap-1899	98	1	[	[	X
ap-1899	98	2	8	8	NUM
ap-1899	98	3	]	]	PUNCT
ap-1899	98	4	identifies	identify	VERB
ap-1899	98	5	the	the	DET
ap-1899	98	6	radius	radius	PROPN
ap-1899	98	7	rlc	rlc	PROPN
ap-1899	98	8	with	with	ADP
ap-1899	98	9	the	the	DET
ap-1899	98	10	radius	radius	PROPN
ap-1899	98	11	rλ	rλ	PROPN
ap-1899	98	12	of	of	ADP
ap-1899	98	13	the	the	DET
ap-1899	98	14	zero	zero	NUM
ap-1899	98	15	-	-	PUNCT
ap-1899	98	16	gravity	gravity	NOUN
ap-1899	98	17	force	force	NOUN
ap-1899	98	18	,	,	PUNCT
ap-1899	98	19	1.2	1.2	NUM
ap-1899	98	20	<	<	X
ap-1899	98	21	mlc	mlc	X
ap-1899	98	22	<	<	X
ap-1899	98	23	3.7×	3.7×	NUM
ap-1899	98	24	1012	1012	NUM
ap-1899	98	25	m	m	NOUN
ap-1899	98	26	�	�	PROPN
ap-1899	98	27	and	and	CCONJ
ap-1899	98	28	1.1	1.1	NUM
ap-1899	98	29	<	<	X
ap-1899	98	30	rλ	rλ	ADP
ap-1899	98	31	<	<	X
ap-1899	98	32	1.6mpc	1.6mpc	NUM
ap-1899	98	33	.	.	PUNCT
ap-1899	99	1	these	these	DET
ap-1899	99	2	estimations	estimation	NOUN
ap-1899	99	3	indicate	indicate	VERB
ap-1899	99	4	the	the	DET
ap-1899	99	5	importance	importance	NOUN
ap-1899	99	6	of	of	ADP
ap-1899	99	7	de	de	X
ap-1899	99	8	for	for	ADP
ap-1899	99	9	the	the	DET
ap-1899	99	10	structure	structure	NOUN
ap-1899	99	11	and	and	CCONJ
ap-1899	99	12	dynamics	dynamic	NOUN
ap-1899	99	13	of	of	ADP
ap-1899	99	14	the	the	DET
ap-1899	99	15	outer	outer	ADJ
ap-1899	99	16	parts	part	NOUN
ap-1899	99	17	of	of	ADP
ap-1899	99	18	lc	lc	PROPN
ap-1899	99	19	.	.	PUNCT
ap-1899	100	1	clusters	cluster	NOUN
ap-1899	100	2	of	of	ADP
ap-1899	100	3	galaxies	galaxy	NOUN
ap-1899	100	4	are	be	AUX
ap-1899	100	5	known	know	VERB
ap-1899	100	6	as	as	ADP
ap-1899	100	7	the	the	DET
ap-1899	100	8	largest	large	ADJ
ap-1899	100	9	gravitationally	gravitationally	ADV
ap-1899	100	10	bound	bind	VERB
ap-1899	100	11	systems	system	NOUN
ap-1899	100	12	,	,	PUNCT
ap-1899	100	13	and	and	CCONJ
ap-1899	100	14	the	the	DET
ap-1899	100	15	zero	zero	NUM
ap-1899	100	16	-	-	PUNCT
ap-1899	100	17	gravity	gravity	NOUN
ap-1899	100	18	radius	radius	NOUN
ap-1899	100	19	is	be	AUX
ap-1899	100	20	an	an	DET
ap-1899	100	21	absolute	absolute	ADJ
ap-1899	100	22	upper	upper	ADJ
ap-1899	100	23	limit	limit	NOUN
ap-1899	100	24	for	for	ADP
ap-1899	100	25	the	the	DET
ap-1899	100	26	radial	radial	ADJ
ap-1899	100	27	size	size	NOUN
ap-1899	100	28	r	r	NOUN
ap-1899	100	29	of	of	ADP
ap-1899	100	30	a	a	DET
ap-1899	100	31	static	static	ADJ
ap-1899	100	32	cluster	cluster	NOUN
ap-1899	100	33	with	with	ADP
ap-1899	100	34	a	a	DET
ap-1899	100	35	mass	mass	NOUN
ap-1899	100	36	m	m	NOUN
ap-1899	100	37	:	:	PUNCT
ap-1899	101	1	r	r	NOUN
ap-1899	101	2	<	<	X
ap-1899	101	3	rλ	rλ	NOUN
ap-1899	102	1	=	=	PUNCT
ap-1899	103	1	[	[	PUNCT
ap-1899	103	2	m	m	VERB
ap-1899	103	3	8π	8π	NUM
ap-1899	103	4	3	3	NUM
ap-1899	103	5	ρλ	ρλ	NOUN
ap-1899	103	6	]	]	X
ap-1899	103	7	1/3	1/3	NUM
ap-1899	103	8	.	.	PUNCT
ap-1899	104	1	taking	take	VERB
ap-1899	104	2	the	the	DET
ap-1899	104	3	total	total	ADJ
ap-1899	104	4	mass	mass	NOUN
ap-1899	104	5	of	of	ADP
ap-1899	104	6	the	the	DET
ap-1899	104	7	virgo	virgo	NOUN
ap-1899	104	8	cluster	cluster	NOUN
ap-1899	104	9	(	(	PUNCT
ap-1899	104	10	dark	dark	ADJ
ap-1899	104	11	matter	matter	NOUN
ap-1899	104	12	and	and	CCONJ
ap-1899	104	13	baryons	baryon	NOUN
ap-1899	104	14	)	)	PUNCT
ap-1899	104	15	m	m	VERB
ap-1899	104	16	=	=	SYM
ap-1899	104	17	(	(	PUNCT
ap-1899	104	18	0.6	0.6	NUM
ap-1899	104	19	÷	÷	NUM
ap-1899	104	20	1.2	1.2	NUM
ap-1899	104	21	)	)	PUNCT
ap-1899	104	22	×	×	NOUN
ap-1899	104	23	1015	1015	NUM
ap-1899	104	24	m	m	NOUN
ap-1899	104	25	�	�	PROPN
ap-1899	105	1	[	[	X
ap-1899	105	2	4	4	NUM
ap-1899	105	3	]	]	PUNCT
ap-1899	105	4	,	,	PUNCT
ap-1899	105	5	one	one	PRON
ap-1899	105	6	finds	find	VERB
ap-1899	105	7	the	the	DET
ap-1899	105	8	zero	zero	NUM
ap-1899	105	9	-	-	PUNCT
ap-1899	105	10	gravity	gravity	NOUN
ap-1899	105	11	radius	radius	NOUN
ap-1899	105	12	of	of	ADP
ap-1899	105	13	the	the	DET
ap-1899	105	14	virgo	virgo	NOUN
ap-1899	105	15	cluster	cluster	NOUN
ap-1899	105	16	:	:	PUNCT
ap-1899	105	17	rλ	rλ	NOUN
ap-1899	105	18	=	=	PUNCT
ap-1899	105	19	(	(	PUNCT
ap-1899	105	20	9÷	9÷	NUM
ap-1899	105	21	11)mpc	11)mpc	NUM
ap-1899	105	22	'	'	PUNCT
ap-1899	105	23	10mpc	10mpc	NOUN
ap-1899	105	24	.	.	PUNCT
ap-1899	106	1	for	for	ADP
ap-1899	106	2	the	the	DET
ap-1899	106	3	richest	rich	ADJ
ap-1899	106	4	clusters	cluster	NOUN
ap-1899	106	5	like	like	ADP
ap-1899	106	6	the	the	DET
ap-1899	106	7	coma	coma	NOUN
ap-1899	106	8	cluster	cluster	NOUN
ap-1899	106	9	with	with	ADP
ap-1899	106	10	the	the	DET
ap-1899	106	11	masses	masse	NOUN
ap-1899	106	12	'	'	PART
ap-1899	106	13	1016	1016	NUM
ap-1899	106	14	m	m	NUM
ap-1899	106	15	�	�	PROPN
ap-1899	106	16	the	the	DET
ap-1899	106	17	zero	zero	NUM
ap-1899	106	18	-	-	PUNCT
ap-1899	106	19	gravity	gravity	NOUN
ap-1899	106	20	radius	radius	NOUN
ap-1899	106	21	is	be	AUX
ap-1899	106	22	about	about	ADP
ap-1899	106	23	20mpc	20mpc	NOUN
ap-1899	106	24	.	.	PUNCT
ap-1899	107	1	figure	figure	NOUN
ap-1899	107	2	2	2	NUM
ap-1899	107	3	.	.	NOUN
ap-1899	107	4	same	same	ADJ
ap-1899	107	5	as	as	ADP
ap-1899	107	6	in	in	ADP
ap-1899	107	7	fig	fig	NOUN
ap-1899	107	8	.	.	PUNCT
ap-1899	108	1	1	1	NUM
ap-1899	108	2	,	,	PUNCT
ap-1899	108	3	for	for	ADP
ap-1899	108	4	n	n	NOUN
ap-1899	108	5	=	=	SYM
ap-1899	108	6	3	3	X
ap-1899	108	7	.	.	PUNCT
ap-1899	109	1	the	the	DET
ap-1899	109	2	data	datum	NOUN
ap-1899	109	3	of	of	ADP
ap-1899	109	4	the	the	DET
ap-1899	109	5	hubble	hubble	ADJ
ap-1899	109	6	diagram	diagram	NOUN
ap-1899	109	7	for	for	ADP
ap-1899	109	8	the	the	DET
ap-1899	109	9	virgo	virgo	NOUN
ap-1899	109	10	system	system	NOUN
ap-1899	109	11	[	[	X
ap-1899	109	12	13	13	NUM
ap-1899	109	13	]	]	PUNCT
ap-1899	109	14	enable	enable	VERB
ap-1899	109	15	us	we	PRON
ap-1899	109	16	to	to	PART
ap-1899	109	17	obtain	obtain	VERB
ap-1899	109	18	another	another	DET
ap-1899	109	19	approximate	approximate	ADJ
ap-1899	109	20	empirical	empirical	ADJ
ap-1899	109	21	equality	equality	NOUN
ap-1899	109	22	:	:	PUNCT
ap-1899	109	23	[	[	PUNCT
ap-1899	109	24	rv	rv	NOUN
ap-1899	109	25	2	2	NUM
ap-1899	109	26	gm	gm	PROPN
ap-1899	109	27	]	]	PUNCT
ap-1899	109	28	virgo	virgo	NOUN
ap-1899	109	29	'	'	PART
ap-1899	109	30	1	1	NUM
ap-1899	109	31	.	.	PUNCT
ap-1899	110	1	this	this	DET
ap-1899	110	2	relation	relation	NOUN
ap-1899	110	3	does	do	AUX
ap-1899	110	4	not	not	PART
ap-1899	110	5	assume	assume	VERB
ap-1899	110	6	either	either	CCONJ
ap-1899	110	7	any	any	DET
ap-1899	110	8	kind	kind	NOUN
ap-1899	110	9	of	of	ADP
ap-1899	110	10	equilibrium	equilibrium	NOUN
ap-1899	110	11	state	state	NOUN
ap-1899	110	12	of	of	ADP
ap-1899	110	13	the	the	DET
ap-1899	110	14	system	system	NOUN
ap-1899	110	15	,	,	PUNCT
ap-1899	110	16	or	or	CCONJ
ap-1899	110	17	any	any	DET
ap-1899	110	18	special	special	ADJ
ap-1899	110	19	relation	relation	NOUN
ap-1899	110	20	between	between	ADP
ap-1899	110	21	the	the	DET
ap-1899	110	22	kinetic	kinetic	ADJ
ap-1899	110	23	and	and	CCONJ
ap-1899	110	24	potential	potential	ADJ
ap-1899	110	25	energies	energy	NOUN
ap-1899	110	26	.	.	PUNCT
ap-1899	111	1	it	it	PRON
ap-1899	111	2	assumes	assume	VERB
ap-1899	111	3	only	only	ADV
ap-1899	111	4	that	that	SCONJ
ap-1899	111	5	the	the	DET
ap-1899	111	6	system	system	NOUN
ap-1899	111	7	is	be	AUX
ap-1899	111	8	embedded	embed	VERB
ap-1899	111	9	in	in	ADP
ap-1899	111	10	the	the	DET
ap-1899	111	11	dark	dark	ADJ
ap-1899	111	12	energy	energy	NOUN
ap-1899	111	13	background	background	NOUN
ap-1899	111	14	and	and	CCONJ
ap-1899	111	15	it	it	PRON
ap-1899	111	16	is	be	AUX
ap-1899	111	17	gravitationally	gravitationally	ADV
ap-1899	111	18	bound	bind	VERB
ap-1899	111	19	.	.	PUNCT
ap-1899	112	1	the	the	DET
ap-1899	112	2	data	datum	NOUN
ap-1899	112	3	on	on	ADP
ap-1899	112	4	the	the	DET
ap-1899	112	5	local	local	ADJ
ap-1899	112	6	group	group	NOUN
ap-1899	112	7	[	[	X
ap-1899	112	8	8	8	NUM
ap-1899	112	9	,	,	PUNCT
ap-1899	112	10	12	12	NUM
ap-1899	112	11	]	]	PUNCT
ap-1899	112	12	give	give	PROPN
ap-1899	112	13	[	[	PUNCT
ap-1899	112	14	rv	rv	NOUN
ap-1899	112	15	2	2	NUM
ap-1899	112	16	gm	gm	PROPN
ap-1899	112	17	]	]	PUNCT
ap-1899	112	18	virgo	virgo	NOUN
ap-1899	112	19	'	'	PUNCT
ap-1899	112	20	[	[	PUNCT
ap-1899	112	21	rv	rv	NOUN
ap-1899	112	22	2	2	NUM
ap-1899	112	23	gm	gm	NOUN
ap-1899	112	24	]	]	PUNCT
ap-1899	112	25	lg	lg	PROPN
ap-1899	112	26	'	'	PUNCT
ap-1899	112	27	1	1	NUM
ap-1899	112	28	.	.	PUNCT
ap-1899	113	1	here	here	ADV
ap-1899	113	2	we	we	PRON
ap-1899	113	3	use	use	VERB
ap-1899	113	4	for	for	ADP
ap-1899	113	5	the	the	DET
ap-1899	113	6	local	local	ADJ
ap-1899	113	7	group	group	NOUN
ap-1899	113	8	the	the	DET
ap-1899	113	9	following	follow	VERB
ap-1899	113	10	empirical	empirical	ADJ
ap-1899	113	11	data	datum	NOUN
ap-1899	113	12	:	:	PUNCT
ap-1899	113	13	r	r	NOUN
ap-1899	113	14	'	'	PUNCT
ap-1899	113	15	1mpc	1mpc	NUM
ap-1899	113	16	,	,	PUNCT
ap-1899	113	17	m	m	NOUN
ap-1899	113	18	'	'	PART
ap-1899	113	19	1012	1012	NUM
ap-1899	113	20	m	m	NOUN
ap-1899	113	21	�	�	PROPN
ap-1899	113	22	,	,	PUNCT
ap-1899	113	23	v	v	ADP
ap-1899	113	24	'	'	PUNCT
ap-1899	113	25	70	70	NUM
ap-1899	113	26	km	km	NOUN
ap-1899	113	27	s−1	s−1	NOUN
ap-1899	114	1	[	[	X
ap-1899	114	2	12	12	NUM
ap-1899	114	3	]	]	PUNCT
ap-1899	114	4	.	.	PUNCT
ap-1899	115	1	assuming	assume	VERB
ap-1899	115	2	that	that	SCONJ
ap-1899	115	3	the	the	DET
ap-1899	115	4	the	the	DET
ap-1899	115	5	virgo	virgo	NOUN
ap-1899	115	6	system	system	NOUN
ap-1899	115	7	has	have	VERB
ap-1899	115	8	a	a	DET
ap-1899	115	9	zero	zero	NUM
ap-1899	115	10	-	-	PUNCT
ap-1899	115	11	gravity	gravity	NOUN
ap-1899	115	12	radius	radius	NOUN
ap-1899	115	13	rλ	rλ	NOUN
ap-1899	115	14	,	,	PUNCT
ap-1899	115	15	we	we	PRON
ap-1899	115	16	obtain	obtain	VERB
ap-1899	115	17	from	from	ADP
ap-1899	115	18	the	the	DET
ap-1899	115	19	empirical	empirical	ADJ
ap-1899	115	20	relation	relation	NOUN
ap-1899	115	21	that	that	SCONJ
ap-1899	115	22	v	v	ADP
ap-1899	115	23	2	2	NUM
ap-1899	115	24	'	'	PUNCT
ap-1899	115	25	(	(	PUNCT
ap-1899	115	26	8π	8π	NUM
ap-1899	115	27	3	3	NUM
ap-1899	115	28	)	)	PUNCT
ap-1899	115	29	1/3	1/3	NUM
ap-1899	115	30	gm2/3ρ	gm2/3ρ	VERB
ap-1899	115	31	1/3	1/3	NUM
ap-1899	115	32	λ	λ	NOUN
ap-1899	115	33	.	.	PUNCT
ap-1899	116	1	(	(	PUNCT
ap-1899	116	2	8)	8)	NUM
ap-1899	116	3	the	the	DET
ap-1899	116	4	velocity	velocity	NOUN
ap-1899	116	5	dispersion	dispersion	NOUN
ap-1899	116	6	in	in	ADP
ap-1899	116	7	the	the	DET
ap-1899	116	8	gravitationally	gravitationally	ADV
ap-1899	116	9	bound	bind	VERB
ap-1899	116	10	system	system	NOUN
ap-1899	116	11	depends	depend	VERB
ap-1899	116	12	only	only	ADV
ap-1899	116	13	on	on	ADP
ap-1899	116	14	its	its	PRON
ap-1899	116	15	mass	mass	NOUN
ap-1899	116	16	,	,	PUNCT
ap-1899	116	17	and	and	CCONJ
ap-1899	116	18	the	the	DET
ap-1899	116	19	universal	universal	ADJ
ap-1899	116	20	dark	dark	ADJ
ap-1899	116	21	energy	energy	NOUN
ap-1899	116	22	density	density	NOUN
ap-1899	116	23	.	.	PUNCT
ap-1899	117	1	the	the	DET
ap-1899	117	2	relation	relation	NOUN
ap-1899	117	3	eq	eq	ADP
ap-1899	117	4	.	.	PROPN
ap-1899	117	5	8	8	NUM
ap-1899	117	6	enables	enable	VERB
ap-1899	117	7	one	one	NUM
ap-1899	117	8	to	to	PART
ap-1899	117	9	estimate	estimate	VERB
ap-1899	117	10	the	the	DET
ap-1899	117	11	matter	matter	NOUN
ap-1899	117	12	mass	mass	NOUN
ap-1899	117	13	of	of	ADP
ap-1899	117	14	a	a	DET
ap-1899	117	15	cluster	cluster	NOUN
ap-1899	117	16	by	by	ADP
ap-1899	117	17	its	its	PRON
ap-1899	117	18	velocity	velocity	NOUN
ap-1899	117	19	dispersion	dispersion	NOUN
ap-1899	117	20	m	m	NOUN
ap-1899	117	21	'	'	PUNCT
ap-1899	117	22	g−3/2	g−3/2	PROPN
ap-1899	118	1	[	[	PUNCT
ap-1899	118	2	8π	8π	NUM
ap-1899	118	3	3	3	NUM
ap-1899	118	4	ρλ	ρλ	NOUN
ap-1899	118	5	]	]	X
ap-1899	118	6	−1/2	−1/2	VERB
ap-1899	118	7	v	v	ADP
ap-1899	118	8	3	3	NUM
ap-1899	118	9	'	'	PART
ap-1899	118	10	1015	1015	NUM
ap-1899	118	11	[	[	PUNCT
ap-1899	118	12	v	v	NUM
ap-1899	118	13	700	700	NUM
ap-1899	118	14	km	km	NOUN
ap-1899	118	15	/	/	SYM
ap-1899	118	16	s	s	PART
ap-1899	118	17	]	]	SYM
ap-1899	118	18	3	3	NUM
ap-1899	118	19	m	m	NOUN
ap-1899	118	20	�	�	PROPN
ap-1899	118	21	.	.	PUNCT
ap-1899	119	1	the	the	DET
ap-1899	119	2	approximate	approximate	ADJ
ap-1899	119	3	empirical	empirical	ADJ
ap-1899	119	4	relation	relation	NOUN
ap-1899	119	5	may	may	AUX
ap-1899	119	6	serve	serve	VERB
ap-1899	119	7	as	as	ADP
ap-1899	119	8	an	an	DET
ap-1899	119	9	estimator	estimator	NOUN
ap-1899	119	10	of	of	ADP
ap-1899	119	11	the	the	DET
ap-1899	119	12	local	local	ADJ
ap-1899	119	13	dark	dark	ADJ
ap-1899	119	14	energy	energy	NOUN
ap-1899	119	15	density	density	NOUN
ap-1899	119	16	,	,	PUNCT
ap-1899	119	17	ρloc	ρloc	NOUN
ap-1899	119	18	.	.	PUNCT
ap-1899	120	1	if	if	SCONJ
ap-1899	120	2	the	the	DET
ap-1899	120	3	mass	mass	NOUN
ap-1899	120	4	of	of	ADP
ap-1899	120	5	a	a	DET
ap-1899	120	6	cluster	cluster	NOUN
ap-1899	120	7	and	and	CCONJ
ap-1899	120	8	its	its	PRON
ap-1899	120	9	velocity	velocity	NOUN
ap-1899	120	10	dispersion	dispersion	NOUN
ap-1899	120	11	are	be	AUX
ap-1899	120	12	independently	independently	ADV
ap-1899	120	13	measured	measure	VERB
ap-1899	120	14	,	,	PUNCT
ap-1899	120	15	one	one	PRON
ap-1899	120	16	has	have	VERB
ap-1899	120	17	ρloc	ρloc	NOUN
ap-1899	120	18	'	'	PART
ap-1899	120	19	3	3	NUM
ap-1899	120	20	8πg3	8πg3	NUM
ap-1899	120	21	m	m	PROPN
ap-1899	120	22	−2v	−2v	PROPN
ap-1899	120	23	6	6	NUM
ap-1899	120	24	'	'	NOUN
ap-1899	120	25	ρλ	ρλ	PROPN
ap-1899	120	26	[	[	PUNCT
ap-1899	120	27	m	m	NOUN
ap-1899	120	28	1015	1015	NUM
ap-1899	120	29	m	m	NOUN
ap-1899	120	30	�	�	PROPN
ap-1899	120	31	]	]	SYM
ap-1899	120	32	−2	−2	X
ap-1899	120	33	[	[	PUNCT
ap-1899	120	34	v	v	NOUN
ap-1899	120	35	700	700	NUM
ap-1899	120	36	km	km	NOUN
ap-1899	120	37	/	/	SYM
ap-1899	120	38	s	s	NOUN
ap-1899	120	39	]	]	X
ap-1899	120	40	6	6	NUM
ap-1899	120	41	,	,	PUNCT
ap-1899	120	42	552	552	NUM
ap-1899	120	43	vol	vol	NOUN
ap-1899	120	44	.	.	PUNCT
ap-1899	121	1	53	53	NUM
ap-1899	121	2	supplement/2013	supplement/2013	ADJ
ap-1899	121	3	dark	dark	ADJ
ap-1899	121	4	energy	energy	NOUN
ap-1899	121	5	and	and	CCONJ
ap-1899	121	6	key	key	ADJ
ap-1899	121	7	physical	physical	ADJ
ap-1899	121	8	parameters	parameter	NOUN
ap-1899	121	9	of	of	ADP
ap-1899	121	10	clusters	cluster	NOUN
ap-1899	121	11	of	of	ADP
ap-1899	121	12	galaxies	galaxy	NOUN
ap-1899	121	13	what	what	PRON
ap-1899	121	14	indicates	indicate	VERB
ap-1899	121	15	that	that	SCONJ
ap-1899	121	16	the	the	DET
ap-1899	121	17	observational	observational	ADJ
ap-1899	121	18	data	datum	NOUN
ap-1899	121	19	on	on	ADP
ap-1899	121	20	the	the	DET
ap-1899	121	21	local	local	ADJ
ap-1899	121	22	system	system	NOUN
ap-1899	121	23	and	and	CCONJ
ap-1899	121	24	the	the	DET
ap-1899	121	25	virgo	virgo	NOUN
ap-1899	121	26	system	system	NOUN
ap-1899	121	27	provide	provide	VERB
ap-1899	121	28	evidence	evidence	NOUN
ap-1899	121	29	in	in	ADP
ap-1899	121	30	favor	favor	NOUN
ap-1899	121	31	of	of	ADP
ap-1899	121	32	the	the	DET
ap-1899	121	33	universal	universal	ADJ
ap-1899	121	34	value	value	NOUN
ap-1899	121	35	of	of	ADP
ap-1899	121	36	the	the	DET
ap-1899	121	37	dark	dark	ADJ
ap-1899	121	38	energy	energy	NOUN
ap-1899	121	39	density	density	NOUN
ap-1899	121	40	which	which	PRON
ap-1899	121	41	is	be	AUX
ap-1899	121	42	the	the	DET
ap-1899	121	43	same	same	ADJ
ap-1899	121	44	on	on	ADP
ap-1899	121	45	both	both	CCONJ
ap-1899	121	46	global	global	ADJ
ap-1899	121	47	and	and	CCONJ
ap-1899	121	48	local	local	ADJ
ap-1899	121	49	scales	scale	NOUN
ap-1899	121	50	.	.	PUNCT
ap-1899	122	1	the	the	DET
ap-1899	122	2	gravitational	gravitational	ADJ
ap-1899	122	3	potential	potential	ADJ
ap-1899	122	4	ϕ∗(r	ϕ∗(r	NOUN
ap-1899	122	5	)	)	PUNCT
ap-1899	122	6	inside	inside	ADP
ap-1899	122	7	the	the	DET
ap-1899	122	8	cluster	cluster	NOUN
ap-1899	122	9	comes	come	VERB
ap-1899	122	10	from	from	ADP
ap-1899	122	11	the	the	DET
ap-1899	122	12	poisson	poisson	NOUN
ap-1899	122	13	equation	equation	NOUN
ap-1899	122	14	eq	eq	NOUN
ap-1899	122	15	.	.	PROPN
ap-1899	122	16	2	2	X
ap-1899	122	17	.	.	X
ap-1899	123	1	it	it	PRON
ap-1899	123	2	was	be	AUX
ap-1899	123	3	found	find	VERB
ap-1899	123	4	by	by	ADP
ap-1899	123	5	bisnovatyi	bisnovatyi	PROPN
ap-1899	123	6	-	-	PUNCT
ap-1899	123	7	kogan	kogan	PROPN
ap-1899	123	8	&	&	CCONJ
ap-1899	123	9	chernin	chernin	PROPN
ap-1899	124	1	[	[	X
ap-1899	124	2	4	4	NUM
ap-1899	124	3	]	]	PUNCT
ap-1899	124	4	in	in	ADP
ap-1899	124	5	the	the	DET
ap-1899	124	6	model	model	NOUN
ap-1899	124	7	of	of	ADP
ap-1899	124	8	the	the	DET
ap-1899	124	9	isothermal	isothermal	ADJ
ap-1899	124	10	halo	halo	NOUN
ap-1899	124	11	the	the	DET
ap-1899	124	12	maximum	maximum	NOUN
ap-1899	124	13	of	of	ADP
ap-1899	124	14	the	the	DET
ap-1899	124	15	potential	potential	ADJ
ap-1899	124	16	ϕ∗	ϕ∗	PROPN
ap-1899	124	17	max	max	PROPN
ap-1899	125	1	=	=	SYM
ap-1899	125	2	−3	−3	PROPN
ap-1899	125	3	2	2	NUM
ap-1899	125	4	gm	gm	NOUN
ap-1899	125	5	rλ	rλ	ADV
ap-1899	126	1	=	=	PUNCT
ap-1899	127	1	−3	−3	PROPN
ap-1899	128	1	2	2	NUM
ap-1899	128	2	g	g	NOUN
ap-1899	128	3	(	(	PUNCT
ap-1899	128	4	8π	8π	NUM
ap-1899	128	5	3	3	NUM
ap-1899	128	6	ρλ	ρλ	NOUN
ap-1899	128	7	)	)	PUNCT
ap-1899	128	8	1/3	1/3	NUM
ap-1899	128	9	m2/3	m2/3	PROPN
ap-1899	128	10	.	.	PUNCT
ap-1899	129	1	the	the	DET
ap-1899	129	2	value	value	NOUN
ap-1899	129	3	of	of	ADP
ap-1899	129	4	ϕ∗	ϕ∗	PROPN
ap-1899	129	5	max	max	PROPN
ap-1899	129	6	depends	depend	VERB
ap-1899	129	7	on	on	ADP
ap-1899	129	8	the	the	DET
ap-1899	129	9	cluster	cluster	NOUN
ap-1899	129	10	matter	matter	NOUN
ap-1899	129	11	mass	mass	PROPN
ap-1899	129	12	m	m	PROPN
ap-1899	129	13	and	and	CCONJ
ap-1899	129	14	the	the	DET
ap-1899	129	15	universal	universal	ADJ
ap-1899	129	16	dark	dark	ADJ
ap-1899	129	17	energy	energy	NOUN
ap-1899	129	18	density	density	NOUN
ap-1899	129	19	.	.	PUNCT
ap-1899	130	1	its	its	PRON
ap-1899	130	2	value	value	NOUN
ap-1899	130	3	is	be	AUX
ap-1899	130	4	the	the	DET
ap-1899	130	5	same	same	ADJ
ap-1899	130	6	for	for	ADP
ap-1899	130	7	any	any	DET
ap-1899	130	8	halo	halo	NOUN
ap-1899	130	9	profile	profile	NOUN
ap-1899	130	10	.	.	PUNCT
ap-1899	131	1	it	it	PRON
ap-1899	131	2	gives	give	VERB
ap-1899	131	3	a	a	DET
ap-1899	131	4	quantitative	quantitative	ADJ
ap-1899	131	5	measure	measure	NOUN
ap-1899	131	6	to	to	ADP
ap-1899	131	7	the	the	DET
ap-1899	131	8	deepness	deepness	NOUN
ap-1899	131	9	of	of	ADP
ap-1899	131	10	the	the	DET
ap-1899	131	11	cluster	cluster	NOUN
ap-1899	131	12	potential	potential	NOUN
ap-1899	131	13	well	well	ADV
ap-1899	131	14	and	and	CCONJ
ap-1899	131	15	determines	determine	VERB
ap-1899	131	16	the	the	DET
ap-1899	131	17	characteristic	characteristic	ADJ
ap-1899	131	18	isothermal	isothermal	ADJ
ap-1899	131	19	velocity	velocity	NOUN
ap-1899	131	20	of	of	ADP
ap-1899	131	21	the	the	DET
ap-1899	131	22	gravitationally	gravitationally	ADV
ap-1899	131	23	bound	bind	VERB
ap-1899	131	24	objects	object	NOUN
ap-1899	131	25	in	in	ADP
ap-1899	131	26	the	the	DET
ap-1899	131	27	cluster	cluster	NOUN
ap-1899	131	28	,	,	PUNCT
ap-1899	131	29	viso	viso	NOUN
ap-1899	131	30	=	=	SYM
ap-1899	132	1	|ϕ∗	|ϕ∗	PROPN
ap-1899	132	2	max|1/2	max|1/2	NOUN
ap-1899	132	3	=	=	SYM
ap-1899	132	4	g1/2	g1/2	PROPN
ap-1899	132	5	(	(	PUNCT
ap-1899	132	6	3	3	NUM
ap-1899	132	7	2	2	NUM
ap-1899	132	8	)	)	PUNCT
ap-1899	132	9	1/2(8π	1/2(8π	PRON
ap-1899	132	10	3	3	NUM
ap-1899	132	11	ρλ	ρλ	NOUN
ap-1899	132	12	)	)	PUNCT
ap-1899	132	13	1/6	1/6	NUM
ap-1899	132	14	m1/3	m1/3	NOUN
ap-1899	132	15	=	=	SYM
ap-1899	132	16	=	=	SYM
ap-1899	132	17	780	780	NUM
ap-1899	132	18	[	[	PUNCT
ap-1899	132	19	m	m	NUM
ap-1899	132	20	1015	1015	NUM
ap-1899	132	21	m	m	NOUN
ap-1899	132	22	�	�	PROPN
ap-1899	132	23	]	]	SYM
ap-1899	132	24	1/3	1/3	NUM
ap-1899	132	25	.	.	PUNCT
ap-1899	133	1	this	this	DET
ap-1899	133	2	velocity	velocity	NOUN
ap-1899	133	3	is	be	AUX
ap-1899	133	4	rather	rather	ADV
ap-1899	133	5	close	close	ADJ
ap-1899	133	6	to	to	ADP
ap-1899	133	7	the	the	DET
ap-1899	133	8	mean	mean	ADJ
ap-1899	133	9	velocity	velocity	NOUN
ap-1899	133	10	dispersion	dispersion	NOUN
ap-1899	133	11	,	,	PUNCT
ap-1899	133	12	v	v	NOUN
ap-1899	133	13	'	'	PUNCT
ap-1899	133	14	700	700	NUM
ap-1899	133	15	km	km	NOUN
ap-1899	133	16	/	/	SYM
ap-1899	133	17	s	s	NOUN
ap-1899	133	18	,	,	PUNCT
ap-1899	133	19	of	of	ADP
ap-1899	133	20	the	the	DET
ap-1899	133	21	galaxies	galaxy	NOUN
ap-1899	133	22	in	in	ADP
ap-1899	133	23	the	the	DET
ap-1899	133	24	virgo	virgo	NOUN
ap-1899	133	25	cluster	cluster	NOUN
ap-1899	133	26	;	;	PUNCT
ap-1899	133	27	viso	viso	PROPN
ap-1899	133	28	'	'	PART
ap-1899	133	29	v	v	NOUN
ap-1899	133	30	also	also	ADV
ap-1899	133	31	for	for	ADP
ap-1899	133	32	the	the	DET
ap-1899	133	33	coma	coma	NOUN
ap-1899	133	34	cluster	cluster	NOUN
ap-1899	133	35	with	with	ADP
ap-1899	133	36	its	its	PRON
ap-1899	133	37	matter	matter	NOUN
ap-1899	133	38	mass	mass	NOUN
ap-1899	133	39	m	m	PROPN
ap-1899	133	40	'	'	PART
ap-1899	133	41	1016	1016	NUM
ap-1899	133	42	m	m	NUM
ap-1899	133	43	�	�	PROPN
ap-1899	133	44	and	and	CCONJ
ap-1899	133	45	v	v	NOUN
ap-1899	133	46	'	'	PUNCT
ap-1899	133	47	1000	1000	NUM
ap-1899	133	48	km	km	NOUN
ap-1899	133	49	/	/	SYM
ap-1899	133	50	s.	s.	PROPN
ap-1899	134	1	the	the	DET
ap-1899	134	2	plasma	plasma	NOUN
ap-1899	134	3	isothermal	isothermal	ADJ
ap-1899	134	4	temperature	temperature	NOUN
ap-1899	134	5	tiso	tiso	NOUN
ap-1899	135	1	=	=	PUNCT
ap-1899	135	2	gm	gm	PROPN
ap-1899	135	3	3k	3k	X
ap-1899	135	4	v	v	NOUN
ap-1899	135	5	2	2	NUM
ap-1899	135	6	iso	iso	NOUN
ap-1899	136	1	=	=	NOUN
ap-1899	136	2	m	m	VERB
ap-1899	136	3	3k	3k	X
ap-1899	136	4	(	(	PUNCT
ap-1899	136	5	8π	8π	NUM
ap-1899	136	6	3	3	NUM
ap-1899	136	7	ρλ	ρλ	NOUN
ap-1899	136	8	)	)	PUNCT
ap-1899	136	9	1/3	1/3	NUM
ap-1899	136	10	m2/3	m2/3	PROPN
ap-1899	136	11	=	=	SYM
ap-1899	137	1	3×	3×	NUM
ap-1899	137	2	107	107	NUM
ap-1899	137	3	[	[	PUNCT
ap-1899	137	4	m	m	NOUN
ap-1899	137	5	1015	1015	NUM
ap-1899	137	6	m	m	NOUN
ap-1899	137	7	�	�	PROPN
ap-1899	137	8	]	]	PUNCT
ap-1899	137	9	2/3	2/3	NUM
ap-1899	137	10	k	k	NOUN
ap-1899	137	11	,	,	PUNCT
ap-1899	137	12	this	this	DET
ap-1899	137	13	temperature	temperature	NOUN
ap-1899	137	14	is	be	AUX
ap-1899	137	15	roughly	roughly	ADV
ap-1899	137	16	equal	equal	ADJ
ap-1899	137	17	to	to	ADP
ap-1899	137	18	the	the	DET
ap-1899	137	19	temperature	temperature	NOUN
ap-1899	137	20	of	of	ADP
ap-1899	137	21	the	the	DET
ap-1899	137	22	hot	hot	ADJ
ap-1899	137	23	x	x	NOUN
ap-1899	137	24	-	-	NOUN
ap-1899	137	25	ray	ray	NOUN
ap-1899	137	26	emitting	emit	VERB
ap-1899	137	27	plasma	plasma	NOUN
ap-1899	137	28	in	in	ADP
ap-1899	137	29	clusters	cluster	NOUN
ap-1899	137	30	like	like	ADP
ap-1899	137	31	the	the	DET
ap-1899	137	32	virgo	virgo	NOUN
ap-1899	137	33	cluster	cluster	NOUN
ap-1899	137	34	or	or	CCONJ
ap-1899	137	35	the	the	DET
ap-1899	137	36	coma	coma	NOUN
ap-1899	137	37	cluster	cluster	NOUN
ap-1899	137	38	.	.	PUNCT
ap-1899	138	1	identifying	identify	VERB
ap-1899	138	2	theoretical	theoretical	ADJ
ap-1899	138	3	value	value	NOUN
ap-1899	138	4	viso	viso	NOUN
ap-1899	138	5	with	with	ADP
ap-1899	138	6	the	the	DET
ap-1899	138	7	observed	observe	VERB
ap-1899	138	8	value	value	NOUN
ap-1899	138	9	v	v	NOUN
ap-1899	138	10	for	for	ADP
ap-1899	138	11	typical	typical	ADJ
ap-1899	138	12	clusters	cluster	NOUN
ap-1899	138	13	,	,	PUNCT
ap-1899	138	14	we	we	PRON
ap-1899	138	15	can	can	AUX
ap-1899	138	16	estimate	estimate	VERB
ap-1899	138	17	the	the	DET
ap-1899	138	18	matter	matter	NOUN
ap-1899	138	19	mass	mass	NOUN
ap-1899	138	20	of	of	ADP
ap-1899	138	21	a	a	DET
ap-1899	138	22	cluster	cluster	NOUN
ap-1899	138	23	,	,	PUNCT
ap-1899	138	24	if	if	SCONJ
ap-1899	138	25	the	the	DET
ap-1899	138	26	velocity	velocity	NOUN
ap-1899	138	27	dispersion	dispersion	NOUN
ap-1899	138	28	of	of	ADP
ap-1899	138	29	its	its	PRON
ap-1899	138	30	galaxies	galaxy	NOUN
ap-1899	138	31	is	be	AUX
ap-1899	138	32	measured	measure	VERB
ap-1899	138	33	:	:	PUNCT
ap-1899	138	34	m	m	VERB
ap-1899	138	35	=	=	PUNCT
ap-1899	138	36	(	(	PUNCT
ap-1899	138	37	2	2	NUM
ap-1899	138	38	3	3	NUM
ap-1899	138	39	g	g	NOUN
ap-1899	138	40	)	)	PUNCT
ap-1899	138	41	3/2(8π	3/2(8π	PROPN
ap-1899	138	42	3	3	NUM
ap-1899	138	43	ρλ	ρλ	NOUN
ap-1899	138	44	)	)	PUNCT
ap-1899	138	45	−1/2	−1/2	VERB
ap-1899	138	46	v	v	NOUN
ap-1899	138	47	3	3	NUM
ap-1899	138	48	iso	iso	NOUN
ap-1899	138	49	=	=	SYM
ap-1899	138	50	1015	1015	NUM
ap-1899	138	51	m	m	NOUN
ap-1899	138	52	�	�	PROPN
ap-1899	138	53	(	(	PUNCT
ap-1899	138	54	v	v	NOUN
ap-1899	138	55	780	780	NUM
ap-1899	138	56	km	km	NOUN
ap-1899	138	57	/	/	SYM
ap-1899	138	58	s	s	PART
ap-1899	138	59	)	)	PUNCT
ap-1899	138	60	3	3	NUM
ap-1899	138	61	.	.	PUNCT
ap-1899	139	1	the	the	DET
ap-1899	139	2	relation	relation	NOUN
ap-1899	139	3	m	m	VERB
ap-1899	139	4	∝	∝	NOUN
ap-1899	139	5	v	v	ADP
ap-1899	139	6	3	3	NUM
ap-1899	139	7	agrees	agree	VERB
ap-1899	139	8	with	with	ADP
ap-1899	139	9	the	the	DET
ap-1899	139	10	empirical	empirical	ADJ
ap-1899	139	11	relation	relation	NOUN
ap-1899	139	12	following	follow	VERB
ap-1899	139	13	from	from	ADP
ap-1899	139	14	eq	eq	NOUN
ap-1899	139	15	.	.	PROPN
ap-1899	139	16	8	8	NUM
ap-1899	139	17	.	.	PUNCT
ap-1899	140	1	in	in	ADP
ap-1899	140	2	a	a	DET
ap-1899	140	3	similar	similar	ADJ
ap-1899	140	4	way	way	NOUN
ap-1899	140	5	,	,	PUNCT
ap-1899	140	6	the	the	DET
ap-1899	140	7	mass	mass	NOUN
ap-1899	140	8	may	may	AUX
ap-1899	140	9	be	be	AUX
ap-1899	140	10	found	find	VERB
ap-1899	140	11	,	,	PUNCT
ap-1899	140	12	if	if	SCONJ
ap-1899	140	13	the	the	DET
ap-1899	140	14	theoretical	theoretical	ADJ
ap-1899	140	15	value	value	NOUN
ap-1899	140	16	of	of	ADP
ap-1899	140	17	the	the	DET
ap-1899	140	18	temperature	temperature	NOUN
ap-1899	140	19	tiso	tiso	NOUN
ap-1899	140	20	is	be	AUX
ap-1899	140	21	identified	identify	VERB
ap-1899	140	22	with	with	ADP
ap-1899	140	23	the	the	DET
ap-1899	140	24	measured	measure	VERB
ap-1899	140	25	temperature	temperature	NOUN
ap-1899	140	26	of	of	ADP
ap-1899	140	27	the	the	DET
ap-1899	140	28	intracluster	intracluster	ADJ
ap-1899	140	29	plasma	plasma	NOUN
ap-1899	140	30	:	:	PUNCT
ap-1899	140	31	m	m	AUX
ap-1899	140	32	=	=	SYM
ap-1899	140	33	(	(	PUNCT
ap-1899	140	34	3k	3k	X
ap-1899	140	35	gm	gm	PROPN
ap-1899	140	36	)	)	PUNCT
ap-1899	140	37	3/2(8π	3/2(8π	PROPN
ap-1899	140	38	3	3	NUM
ap-1899	140	39	ρλ	ρλ	NOUN
ap-1899	140	40	)	)	PUNCT
ap-1899	140	41	−1/2	−1/2	VERB
ap-1899	140	42	t	t	NOUN
ap-1899	140	43	3/2	3/2	NUM
ap-1899	140	44	iso	iso	NOUN
ap-1899	140	45	=	=	PUNCT
ap-1899	140	46	(	(	PUNCT
ap-1899	140	47	t	t	PROPN
ap-1899	140	48	2×	2×	NUM
ap-1899	140	49	107	107	NUM
ap-1899	141	1	k	k	X
ap-1899	141	2	)	)	PUNCT
ap-1899	141	3	3/2	3/2	NUM
ap-1899	141	4	×	×	PROPN
ap-1899	141	5	1015m	1015m	NUM
ap-1899	141	6	�	�	NOUN
ap-1899	141	7	.	.	PUNCT
ap-1899	142	1	if	if	SCONJ
ap-1899	142	2	the	the	DET
ap-1899	142	3	matter	matter	NOUN
ap-1899	142	4	mass	mass	NOUN
ap-1899	142	5	of	of	ADP
ap-1899	142	6	a	a	DET
ap-1899	142	7	cluster	cluster	NOUN
ap-1899	142	8	and	and	CCONJ
ap-1899	142	9	its	its	PRON
ap-1899	142	10	velocity	velocity	NOUN
ap-1899	142	11	dispersion	dispersion	NOUN
ap-1899	142	12	or	or	CCONJ
ap-1899	142	13	its	its	PRON
ap-1899	142	14	plasma	plasma	NOUN
ap-1899	142	15	temperature	temperature	NOUN
ap-1899	142	16	are	be	AUX
ap-1899	142	17	measured	measure	VERB
ap-1899	142	18	independently	independently	ADV
ap-1899	142	19	,	,	PUNCT
ap-1899	142	20	one	one	PRON
ap-1899	142	21	can	can	AUX
ap-1899	142	22	estimate	estimate	VERB
ap-1899	142	23	the	the	DET
ap-1899	142	24	local	local	ADJ
ap-1899	142	25	density	density	NOUN
ap-1899	142	26	of	of	ADP
ap-1899	142	27	dark	dark	ADJ
ap-1899	142	28	energy	energy	NOUN
ap-1899	142	29	:	:	PUNCT
ap-1899	142	30	ρloc	ρloc	NOUN
ap-1899	142	31	=	=	PUNCT
ap-1899	142	32	ρλ	ρλ	PROPN
ap-1899	142	33	(	(	PUNCT
ap-1899	142	34	m	m	PROPN
ap-1899	142	35	1015	1015	NUM
ap-1899	142	36	m	m	NOUN
ap-1899	142	37	�	�	PROPN
ap-1899	142	38	)	)	PUNCT
ap-1899	142	39	−2	−2	PROPN
ap-1899	142	40	(	(	PUNCT
ap-1899	142	41	v	v	NOUN
ap-1899	142	42	780	780	NUM
ap-1899	142	43	km	km	NOUN
ap-1899	142	44	/	/	SYM
ap-1899	142	45	s	s	PART
ap-1899	142	46	)	)	PUNCT
ap-1899	142	47	6	6	NUM
ap-1899	142	48	,	,	PUNCT
ap-1899	142	49	(	(	PUNCT
ap-1899	142	50	9	9	X
ap-1899	142	51	)	)	PUNCT
ap-1899	142	52	ρloc	ρloc	NOUN
ap-1899	142	53	=	=	PUNCT
ap-1899	142	54	ρλ	ρλ	PROPN
ap-1899	142	55	(	(	PUNCT
ap-1899	142	56	m	m	PROPN
ap-1899	142	57	1015	1015	NUM
ap-1899	142	58	m	m	NOUN
ap-1899	142	59	�	�	PROPN
ap-1899	142	60	)	)	PUNCT
ap-1899	142	61	−2	−2	PROPN
ap-1899	142	62	(	(	PUNCT
ap-1899	142	63	t	t	PROPN
ap-1899	142	64	3×	3×	NUM
ap-1899	142	65	107	107	NUM
ap-1899	142	66	k	k	X
ap-1899	142	67	)	)	PUNCT
ap-1899	142	68	3	3	NUM
ap-1899	142	69	.	.	PUNCT
ap-1899	143	1	(	(	PUNCT
ap-1899	143	2	10	10	NUM
ap-1899	143	3	)	)	PUNCT
ap-1899	143	4	the	the	DET
ap-1899	143	5	empirical	empirical	ADJ
ap-1899	143	6	data	datum	NOUN
ap-1899	143	7	on	on	ADP
ap-1899	143	8	clusters	cluster	NOUN
ap-1899	143	9	like	like	ADP
ap-1899	143	10	the	the	DET
ap-1899	143	11	virgo	virgo	NOUN
ap-1899	143	12	cluster	cluster	NOUN
ap-1899	143	13	or	or	CCONJ
ap-1899	143	14	the	the	DET
ap-1899	143	15	coma	coma	NOUN
ap-1899	143	16	cluster	cluster	NOUN
ap-1899	143	17	are	be	AUX
ap-1899	143	18	consistent	consistent	ADJ
ap-1899	143	19	with	with	ADP
ap-1899	143	20	our	our	PRON
ap-1899	143	21	assumption	assumption	NOUN
ap-1899	143	22	that	that	SCONJ
ap-1899	143	23	the	the	DET
ap-1899	143	24	local	local	ADJ
ap-1899	143	25	density	density	NOUN
ap-1899	143	26	of	of	ADP
ap-1899	143	27	dark	dark	ADJ
ap-1899	143	28	energy	energy	NOUN
ap-1899	143	29	on	on	ADP
ap-1899	143	30	the	the	DET
ap-1899	143	31	scale	scale	NOUN
ap-1899	143	32	of	of	ADP
ap-1899	143	33	clusters	cluster	NOUN
ap-1899	143	34	of	of	ADP
ap-1899	143	35	galaxies	galaxy	NOUN
ap-1899	143	36	is	be	AUX
ap-1899	143	37	the	the	DET
ap-1899	143	38	same	same	ADJ
ap-1899	143	39	as	as	ADP
ap-1899	143	40	on	on	ADP
ap-1899	143	41	the	the	DET
ap-1899	143	42	global	global	ADJ
ap-1899	143	43	cosmological	cosmological	ADJ
ap-1899	143	44	scales	scale	NOUN
ap-1899	143	45	.	.	PUNCT
ap-1899	144	1	5	5	X
ap-1899	144	2	.	.	X
ap-1899	144	3	conclusions	conclusion	NOUN
ap-1899	144	4	(	(	PUNCT
ap-1899	144	5	1	1	NUM
ap-1899	144	6	.	.	PUNCT
ap-1899	144	7	)	)	PUNCT
ap-1899	145	1	the	the	DET
ap-1899	145	2	key	key	ADJ
ap-1899	145	3	physical	physical	ADJ
ap-1899	145	4	parameter	parameter	NOUN
ap-1899	145	5	of	of	ADP
ap-1899	145	6	cluster	cluster	NOUN
ap-1899	145	7	of	of	ADP
ap-1899	145	8	galaxies	galaxy	NOUN
ap-1899	145	9	is	be	AUX
ap-1899	145	10	the	the	DET
ap-1899	145	11	zero	zero	NUM
ap-1899	145	12	-	-	PUNCT
ap-1899	145	13	gravity	gravity	NOUN
ap-1899	145	14	radius	radius	NOUN
ap-1899	145	15	rλ	rλ	NOUN
ap-1899	146	1	=	=	PUNCT
ap-1899	146	2	[	[	PUNCT
ap-1899	146	3	m	m	VERB
ap-1899	146	4	8π	8π	NUM
ap-1899	146	5	3	3	NUM
ap-1899	146	6	ρλ	ρλ	NOUN
ap-1899	146	7	]	]	X
ap-1899	146	8	1/3	1/3	NUM
ap-1899	146	9	.	.	PUNCT
ap-1899	147	1	a	a	DET
ap-1899	147	2	bound	bind	VERB
ap-1899	147	3	system	system	NOUN
ap-1899	147	4	must	must	AUX
ap-1899	147	5	have	have	VERB
ap-1899	147	6	a	a	DET
ap-1899	147	7	radius	radius	NOUN
ap-1899	147	8	r	r	NOUN
ap-1899	147	9	≤	≤	NOUN
ap-1899	147	10	rλ	rλ	VERB
ap-1899	147	11	.	.	PUNCT
ap-1899	148	1	for	for	ADP
ap-1899	148	2	the	the	DET
ap-1899	148	3	virgo	virgo	NOUN
ap-1899	148	4	cluster	cluster	NOUN
ap-1899	148	5	r	r	NOUN
ap-1899	148	6	'	'	PUNCT
ap-1899	148	7	rλ	rλ	NOUN
ap-1899	148	8	'	'	PUNCT
ap-1899	148	9	10mpc	10mpc	INTJ
ap-1899	148	10	.	.	PUNCT
ap-1899	149	1	(	(	PUNCT
ap-1899	149	2	2	2	NUM
ap-1899	149	3	.	.	PUNCT
ap-1899	149	4	)	)	PUNCT
ap-1899	150	1	the	the	DET
ap-1899	150	2	mean	mean	ADJ
ap-1899	150	3	density	density	NOUN
ap-1899	150	4	of	of	ADP
ap-1899	150	5	cluster	cluster	NOUN
ap-1899	150	6	’s	’s	PART
ap-1899	150	7	dark	dark	ADJ
ap-1899	150	8	matter	matter	NOUN
ap-1899	150	9	halo	halo	NOUN
ap-1899	150	10	does	do	AUX
ap-1899	150	11	not	not	PART
ap-1899	150	12	depend	depend	VERB
ap-1899	150	13	on	on	ADP
ap-1899	150	14	the	the	DET
ap-1899	150	15	halo	halo	NOUN
ap-1899	150	16	density	density	NOUN
ap-1899	150	17	profile	profile	NOUN
ap-1899	150	18	and	and	CCONJ
ap-1899	150	19	is	be	AUX
ap-1899	150	20	determined	determine	VERB
ap-1899	150	21	by	by	ADP
ap-1899	150	22	the	the	DET
ap-1899	150	23	dark	dark	ADJ
ap-1899	150	24	energy	energy	NOUN
ap-1899	150	25	density	density	NOUN
ap-1899	150	26	only	only	ADV
ap-1899	150	27	:	:	PUNCT
ap-1899	150	28	〈	〈	PROPN
ap-1899	150	29	ρ	ρ	NUM
ap-1899	150	30	〉	〉	NOUN
ap-1899	150	31	=	=	SYM
ap-1899	150	32	2ρλ	2ρλ	NOUN
ap-1899	150	33	.	.	PUNCT
ap-1899	151	1	(	(	PUNCT
ap-1899	151	2	3	3	NUM
ap-1899	151	3	.	.	PUNCT
ap-1899	151	4	)	)	PUNCT
ap-1899	152	1	the	the	DET
ap-1899	152	2	available	available	ADJ
ap-1899	152	3	observational	observational	ADJ
ap-1899	152	4	data	datum	NOUN
ap-1899	152	5	show	show	VERB
ap-1899	152	6	that	that	SCONJ
ap-1899	152	7	the	the	DET
ap-1899	152	8	local	local	ADJ
ap-1899	152	9	density	density	NOUN
ap-1899	152	10	is	be	AUX
ap-1899	152	11	near	near	ADP
ap-1899	152	12	the	the	DET
ap-1899	152	13	global	global	ADJ
ap-1899	152	14	value	value	NOUN
ap-1899	152	15	ρλ	ρλ	PROPN
ap-1899	152	16	.	.	PUNCT
ap-1899	152	17	acknowledgements	acknowledgement	VERB
ap-1899	152	18	the	the	DET
ap-1899	152	19	work	work	NOUN
ap-1899	152	20	of	of	ADP
ap-1899	152	21	gsbk	gsbk	NOUN
ap-1899	152	22	was	be	AUX
ap-1899	152	23	partially	partially	ADV
ap-1899	152	24	supported	support	VERB
ap-1899	152	25	by	by	ADP
ap-1899	152	26	rfbr	rfbr	NOUN
ap-1899	152	27	grant	grant	PROPN
ap-1899	152	28	11	11	NUM
ap-1899	152	29	-	-	PUNCT
ap-1899	152	30	02	02	NUM
ap-1899	152	31	-	-	PUNCT
ap-1899	152	32	00602	00602	NUM
ap-1899	152	33	,	,	PUNCT
ap-1899	152	34	the	the	DET
ap-1899	152	35	ran	ran	NOUN
ap-1899	152	36	program	program	NOUN
ap-1899	152	37	p20	p20	NOUN
ap-1899	152	38	and	and	CCONJ
ap-1899	152	39	grant	grant	VERB
ap-1899	152	40	nsh3458.2010.2	nsh3458.2010.2	PROPN
ap-1899	152	41	.	.	PUNCT
ap-1899	153	1	a.c	a.c	PROPN
ap-1899	153	2	.	.	PROPN
ap-1899	153	3	appreciates	appreciate	VERB
ap-1899	153	4	a	a	DET
ap-1899	153	5	partial	partial	ADJ
ap-1899	153	6	support	support	NOUN
ap-1899	153	7	from	from	ADP
ap-1899	153	8	the	the	DET
ap-1899	153	9	rfbr	rfbr	NOUN
ap-1899	153	10	grant	grant	NOUN
ap-1899	153	11	10	10	NUM
ap-1899	153	12	-	-	PUNCT
ap-1899	153	13	02	02	NUM
ap-1899	153	14	-	-	PUNCT
ap-1899	153	15	0178	0178	NUM
ap-1899	153	16	.	.	PUNCT
ap-1899	154	1	gsbk	gsbk	NOUN
ap-1899	154	2	is	be	AUX
ap-1899	154	3	grateful	grateful	ADJ
ap-1899	154	4	to	to	ADP
ap-1899	154	5	the	the	DET
ap-1899	154	6	organizers	organizer	NOUN
ap-1899	154	7	of	of	ADP
ap-1899	154	8	the	the	DET
ap-1899	154	9	workshop	workshop	NOUN
ap-1899	154	10	for	for	ADP
ap-1899	154	11	support	support	NOUN
ap-1899	154	12	.	.	PUNCT
ap-1899	155	1	references	reference	NOUN
ap-1899	155	2	[	[	X
ap-1899	155	3	1	1	X
ap-1899	155	4	]	]	X
ap-1899	155	5	baryshev	baryshev	PROPN
ap-1899	155	6	yu.v	yu.v	PROPN
ap-1899	155	7	.	.	PROPN
ap-1899	155	8	,	,	PUNCT
ap-1899	155	9	chernin	chernin	PROPN
ap-1899	155	10	a.d	a.d	PROPN
ap-1899	155	11	.	.	PROPN
ap-1899	155	12	,	,	PUNCT
ap-1899	155	13	teerikorpi	teerikorpi	ADJ
ap-1899	155	14	p.	p.	NOUN
ap-1899	155	15	:	:	PUNCT
ap-1899	156	1	2001	2001	NUM
ap-1899	156	2	,	,	PUNCT
ap-1899	156	3	a&a	a&a	PROPN
ap-1899	156	4	,	,	PUNCT
ap-1899	156	5	378	378	NUM
ap-1899	156	6	,	,	PUNCT
ap-1899	156	7	729	729	NUM
ap-1899	156	8	[	[	X
ap-1899	156	9	2	2	NUM
ap-1899	156	10	]	]	PUNCT
ap-1899	156	11	bisnovatyi	bisnovatyi	PROPN
ap-1899	156	12	-	-	PUNCT
ap-1899	156	13	kogan	kogan	PROPN
ap-1899	156	14	,	,	PUNCT
ap-1899	156	15	g.s	g.s	PROPN
ap-1899	156	16	.	.	PROPN
ap-1899	156	17	:	:	PUNCT
ap-1899	156	18	1998	1998	NUM
ap-1899	156	19	,	,	PUNCT
ap-1899	156	20	apj	apj	PROPN
ap-1899	156	21	497	497	NUM
ap-1899	156	22	,	,	PUNCT
ap-1899	156	23	559	559	NUM
ap-1899	156	24	[	[	X
ap-1899	156	25	3	3	NUM
ap-1899	156	26	]	]	X
ap-1899	156	27	bisnovatyi	bisnovatyi	PROPN
ap-1899	156	28	-	-	PUNCT
ap-1899	156	29	kogan	kogan	PROPN
ap-1899	156	30	,	,	PUNCT
ap-1899	156	31	g.s	g.s	PROPN
ap-1899	156	32	.	.	PROPN
ap-1899	156	33	:	:	PUNCT
ap-1899	156	34	2001	2001	NUM
ap-1899	156	35	,	,	PUNCT
ap-1899	156	36	stellar	stellar	ADJ
ap-1899	156	37	physics	physic	NOUN
ap-1899	156	38	.	.	PUNCT
ap-1899	156	39	ii	ii	PROPN
ap-1899	156	40	.	.	PUNCT
ap-1899	157	1	stellar	stellar	ADJ
ap-1899	157	2	structure	structure	NOUN
ap-1899	157	3	and	and	CCONJ
ap-1899	157	4	stability	stability	NOUN
ap-1899	157	5	(	(	PUNCT
ap-1899	157	6	heidelberg	heidelberg	NOUN
ap-1899	157	7	:	:	PUNCT
ap-1899	157	8	springer	springer	NOUN
ap-1899	157	9	)	)	PUNCT
ap-1899	158	1	[	[	X
ap-1899	158	2	4	4	X
ap-1899	158	3	]	]	X
ap-1899	158	4	bisnovatyi	bisnovatyi	PROPN
ap-1899	158	5	-	-	PUNCT
ap-1899	158	6	kogan	kogan	PROPN
ap-1899	158	7	,	,	PUNCT
ap-1899	158	8	g.s	g.s	PROPN
ap-1899	158	9	.	.	PROPN
ap-1899	158	10	,	,	PUNCT
ap-1899	158	11	chernin	chernin	PROPN
ap-1899	158	12	a.d	a.d	PROPN
ap-1899	158	13	.	.	PUNCT
ap-1899	158	14	:	:	PUNCT
ap-1899	158	15	2012	2012	NUM
ap-1899	158	16	,	,	PUNCT
ap-1899	158	17	apss	apss	PROPN
ap-1899	158	18	,	,	PUNCT
ap-1899	158	19	338	338	NUM
ap-1899	158	20	,	,	PUNCT
ap-1899	158	21	337	337	NUM
ap-1899	159	1	[	[	X
ap-1899	159	2	5	5	NUM
ap-1899	159	3	]	]	X
ap-1899	159	4	byrd	byrd	PROPN
ap-1899	159	5	g.g	g.g	PROPN
ap-1899	159	6	.	.	PROPN
ap-1899	159	7	,	,	PUNCT
ap-1899	159	8	chernin	chernin	PROPN
ap-1899	159	9	a.d	a.d	PROPN
ap-1899	159	10	.	.	PROPN
ap-1899	159	11	,	,	PUNCT
ap-1899	159	12	valtonen	valtonen	PROPN
ap-1899	159	13	m.j	m.j	PROPN
ap-1899	159	14	.	.	PROPN
ap-1899	159	15	:	:	PUNCT
ap-1899	159	16	2007	2007	NUM
ap-1899	159	17	,	,	PUNCT
ap-1899	159	18	cosmology	cosmology	NOUN
ap-1899	159	19	:	:	PUNCT
ap-1899	159	20	foundations	foundation	NOUN
ap-1899	159	21	and	and	CCONJ
ap-1899	159	22	frontiers	frontier	NOUN
ap-1899	159	23	moscow	moscow	PROPN
ap-1899	159	24	,	,	PUNCT
ap-1899	159	25	urss	urss	VERB
ap-1899	159	26	[	[	X
ap-1899	159	27	6	6	NUM
ap-1899	159	28	]	]	X
ap-1899	159	29	chernin	chernin	PROPN
ap-1899	159	30	a.d	a.d	PROPN
ap-1899	159	31	.	.	PROPN
ap-1899	159	32	:	:	PUNCT
ap-1899	159	33	2001	2001	NUM
ap-1899	159	34	,	,	PUNCT
ap-1899	159	35	physics	physics	NOUN
ap-1899	159	36	-	-	PUNCT
ap-1899	159	37	uspekhi	uspekhi	PROPN
ap-1899	159	38	,	,	PUNCT
ap-1899	159	39	44	44	NUM
ap-1899	159	40	,	,	PUNCT
ap-1899	159	41	1099	1099	NUM
ap-1899	159	42	553	553	NUM
ap-1899	159	43	gennady	gennady	PROPN
ap-1899	159	44	s.	s.	PROPN
ap-1899	159	45	bisnovatyi	bisnovatyi	PROPN
ap-1899	159	46	-	-	PUNCT
ap-1899	159	47	kogan	kogan	PROPN
ap-1899	159	48	,	,	PUNCT
ap-1899	159	49	artur	artur	PROPN
ap-1899	159	50	chernin	chernin	PROPN
ap-1899	159	51	,	,	PUNCT
ap-1899	159	52	marco	marco	PROPN
ap-1899	159	53	merafina	merafina	PROPN
ap-1899	159	54	acta	acta	PROPN
ap-1899	159	55	polytechnica	polytechnica	PROPN
ap-1899	160	1	[	[	X
ap-1899	160	2	7	7	NUM
ap-1899	160	3	]	]	X
ap-1899	160	4	chernin	chernin	NOUN
ap-1899	160	5	,	,	PUNCT
ap-1899	160	6	a.d	a.d	PROPN
ap-1899	160	7	.	.	PROPN
ap-1899	160	8	2008	2008	NUM
ap-1899	160	9	,	,	PUNCT
ap-1899	160	10	physics	physics	NOUN
ap-1899	160	11	-	-	PUNCT
ap-1899	160	12	uspekhi	uspekhi	PROPN
ap-1899	160	13	,	,	PUNCT
ap-1899	160	14	51	51	NUM
ap-1899	160	15	,	,	PUNCT
ap-1899	160	16	267	267	NUM
ap-1899	160	17	[	[	SYM
ap-1899	160	18	8	8	NUM
ap-1899	160	19	]	]	X
ap-1899	160	20	chernin	chernin	NOUN
ap-1899	160	21	,	,	PUNCT
ap-1899	160	22	a.d	a.d	PROPN
ap-1899	160	23	.	.	PROPN
ap-1899	160	24	et	et	PROPN
ap-1899	160	25	al	al	PROPN
ap-1899	160	26	.	.	PROPN
ap-1899	160	27	:	:	PUNCT
ap-1899	160	28	2009	2009	NUM
ap-1899	160	29	,	,	PUNCT
ap-1899	160	30	astro	astro	NOUN
ap-1899	160	31	-	-	PUNCT
ap-1899	160	32	ph	ph	ADJ
ap-1899	160	33	0902.3871v1	0902.3871v1	NOUN
ap-1899	161	1	[	[	X
ap-1899	161	2	9	9	NUM
ap-1899	161	3	]	]	X
ap-1899	161	4	chernin	chernin	PROPN
ap-1899	161	5	a.d	a.d	PROPN
ap-1899	161	6	.	.	PROPN
ap-1899	161	7	,	,	PUNCT
ap-1899	161	8	karachentsev	karachentsev	PROPN
ap-1899	161	9	i.d	i.d	PROPN
ap-1899	161	10	.	.	PROPN
ap-1899	161	11	,	,	PUNCT
ap-1899	161	12	valtonen	valtonen	PROPN
ap-1899	161	13	m.j	m.j	PROPN
ap-1899	161	14	.	.	PROPN
ap-1899	161	15	et	et	PROPN
ap-1899	161	16	al	al	PROPN
ap-1899	161	17	.	.	PROPN
ap-1899	161	18	:	:	PUNCT
ap-1899	161	19	2009	2009	NUM
ap-1899	161	20	,	,	PUNCT
ap-1899	161	21	a&a	a&a	PROPN
ap-1899	161	22	.	.	PUNCT
ap-1899	162	1	507	507	NUM
ap-1899	162	2	,	,	PUNCT
ap-1899	162	3	1271	1271	NUM
ap-1899	163	1	[	[	X
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ap-1899	170	13	:	:	PUNCT
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ap-1899	170	15	,	,	PUNCT
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