id	sid	tid	token	lemma	pos
cord-194157-ak2gc3nz	1	1	key	key	ADJ
cord-194157-ak2gc3nz	1	2	:	:	PUNCT
cord-194157-ak2gc3nz	1	3	cord-194157	cord-194157	PROPN
cord-194157-ak2gc3nz	1	4	-	-	PUNCT
cord-194157-ak2gc3nz	1	5	ak2gc3nz	ak2gc3nz	NOUN
cord-194157-ak2gc3nz	1	6	authors	author	NOUN
cord-194157-ak2gc3nz	1	7	:	:	PUNCT
cord-194157-ak2gc3nz	1	8	clum	clum	PROPN
cord-194157-ak2gc3nz	1	9	,	,	PUNCT
cord-194157-ak2gc3nz	1	10	charles	charle	NOUN
cord-194157-ak2gc3nz	1	11	;	;	PUNCT
cord-194157-ak2gc3nz	1	12	mixon	mixon	ADJ
cord-194157-ak2gc3nz	1	13	,	,	PUNCT
cord-194157-ak2gc3nz	1	14	dustin	dustin	PROPN
cord-194157-ak2gc3nz	1	15	g.	g.	PROPN
cord-194157-ak2gc3nz	1	16	title	title	PROPN
cord-194157-ak2gc3nz	1	17	:	:	PUNCT
cord-194157-ak2gc3nz	1	18	parameter	parameter	NOUN
cord-194157-ak2gc3nz	1	19	estimation	estimation	NOUN
cord-194157-ak2gc3nz	1	20	in	in	ADP
cord-194157-ak2gc3nz	1	21	the	the	DET
cord-194157-ak2gc3nz	1	22	sir	sir	PROPN
cord-194157-ak2gc3nz	1	23	model	model	NOUN
cord-194157-ak2gc3nz	1	24	from	from	ADP
cord-194157-ak2gc3nz	1	25	early	early	ADJ
cord-194157-ak2gc3nz	1	26	infections	infection	NOUN
cord-194157-ak2gc3nz	1	27	date	date	NOUN
cord-194157-ak2gc3nz	1	28	:	:	PUNCT
cord-194157-ak2gc3nz	1	29	2020	2020	NUM
cord-194157-ak2gc3nz	1	30	-	-	SYM
cord-194157-ak2gc3nz	1	31	08	08	NUM
cord-194157-ak2gc3nz	1	32	-	-	SYM
cord-194157-ak2gc3nz	1	33	10	10	NUM
cord-194157-ak2gc3nz	1	34	journal	journal	NOUN
cord-194157-ak2gc3nz	1	35	:	:	PUNCT
cord-194157-ak2gc3nz	1	36	nan	nan	PROPN
cord-194157-ak2gc3nz	1	37	doi	doi	PROPN
cord-194157-ak2gc3nz	1	38	:	:	PUNCT
cord-194157-ak2gc3nz	1	39	nan	nan	PROPN
cord-194157-ak2gc3nz	1	40	sha	shall	AUX
cord-194157-ak2gc3nz	1	41	:	:	PUNCT
cord-194157-ak2gc3nz	2	1	doc_id	doc_id	X
cord-194157-ak2gc3nz	2	2	:	:	PUNCT
cord-194157-ak2gc3nz	2	3	194157	194157	NUM
cord-194157-ak2gc3nz	2	4	cord_uid	cord_uid	PROPN
cord-194157-ak2gc3nz	2	5	:	:	PUNCT
cord-194157-ak2gc3nz	2	6	ak2gc3nz	ak2gc3nz	DET
cord-194157-ak2gc3nz	2	7	a	a	DET
cord-194157-ak2gc3nz	2	8	standard	standard	ADJ
cord-194157-ak2gc3nz	2	9	model	model	NOUN
cord-194157-ak2gc3nz	2	10	for	for	ADP
cord-194157-ak2gc3nz	2	11	epidemics	epidemic	NOUN
cord-194157-ak2gc3nz	2	12	is	be	AUX
cord-194157-ak2gc3nz	2	13	the	the	DET
cord-194157-ak2gc3nz	2	14	sir	sir	PROPN
cord-194157-ak2gc3nz	2	15	model	model	NOUN
cord-194157-ak2gc3nz	2	16	on	on	ADP
cord-194157-ak2gc3nz	2	17	a	a	DET
cord-194157-ak2gc3nz	2	18	graph	graph	NOUN
cord-194157-ak2gc3nz	2	19	.	.	PUNCT
cord-194157-ak2gc3nz	3	1	we	we	PRON
cord-194157-ak2gc3nz	3	2	introduce	introduce	VERB
cord-194157-ak2gc3nz	3	3	a	a	DET
cord-194157-ak2gc3nz	3	4	simple	simple	ADJ
cord-194157-ak2gc3nz	3	5	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	3	6	that	that	PRON
cord-194157-ak2gc3nz	3	7	uses	use	VERB
cord-194157-ak2gc3nz	3	8	the	the	DET
cord-194157-ak2gc3nz	3	9	early	early	ADJ
cord-194157-ak2gc3nz	3	10	infection	infection	NOUN
cord-194157-ak2gc3nz	3	11	times	time	NOUN
cord-194157-ak2gc3nz	3	12	from	from	ADP
cord-194157-ak2gc3nz	3	13	a	a	DET
cord-194157-ak2gc3nz	3	14	sample	sample	NOUN
cord-194157-ak2gc3nz	3	15	path	path	NOUN
cord-194157-ak2gc3nz	3	16	of	of	ADP
cord-194157-ak2gc3nz	3	17	the	the	DET
cord-194157-ak2gc3nz	3	18	sir	sir	PROPN
cord-194157-ak2gc3nz	3	19	model	model	NOUN
cord-194157-ak2gc3nz	3	20	to	to	PART
cord-194157-ak2gc3nz	3	21	estimate	estimate	VERB
cord-194157-ak2gc3nz	3	22	the	the	DET
cord-194157-ak2gc3nz	3	23	parameters	parameter	NOUN
cord-194157-ak2gc3nz	3	24	this	this	DET
cord-194157-ak2gc3nz	3	25	model	model	NOUN
cord-194157-ak2gc3nz	3	26	,	,	PUNCT
cord-194157-ak2gc3nz	3	27	and	and	CCONJ
cord-194157-ak2gc3nz	3	28	we	we	PRON
cord-194157-ak2gc3nz	3	29	provide	provide	VERB
cord-194157-ak2gc3nz	3	30	a	a	DET
cord-194157-ak2gc3nz	3	31	performance	performance	NOUN
cord-194157-ak2gc3nz	3	32	guarantee	guarantee	NOUN
cord-194157-ak2gc3nz	3	33	in	in	ADP
cord-194157-ak2gc3nz	3	34	the	the	DET
cord-194157-ak2gc3nz	3	35	setting	setting	NOUN
cord-194157-ak2gc3nz	3	36	of	of	ADP
cord-194157-ak2gc3nz	3	37	locally	locally	ADV
cord-194157-ak2gc3nz	3	38	tree	tree	NOUN
cord-194157-ak2gc3nz	3	39	-	-	PUNCT
cord-194157-ak2gc3nz	3	40	like	like	ADJ
cord-194157-ak2gc3nz	3	41	graphs	graph	NOUN
cord-194157-ak2gc3nz	3	42	.	.	PUNCT
cord-194157-ak2gc3nz	4	1	during	during	ADP
cord-194157-ak2gc3nz	4	2	an	an	DET
cord-194157-ak2gc3nz	4	3	epidemic	epidemic	NOUN
cord-194157-ak2gc3nz	4	4	,	,	PUNCT
cord-194157-ak2gc3nz	4	5	government	government	NOUN
cord-194157-ak2gc3nz	4	6	leaders	leader	NOUN
cord-194157-ak2gc3nz	4	7	are	be	AUX
cord-194157-ak2gc3nz	4	8	expected	expect	VERB
cord-194157-ak2gc3nz	4	9	to	to	PART
cord-194157-ak2gc3nz	4	10	help	help	VERB
cord-194157-ak2gc3nz	4	11	maintain	maintain	VERB
cord-194157-ak2gc3nz	4	12	public	public	ADJ
cord-194157-ak2gc3nz	4	13	health	health	NOUN
cord-194157-ak2gc3nz	4	14	while	while	SCONJ
cord-194157-ak2gc3nz	4	15	simultaneously	simultaneously	ADV
cord-194157-ak2gc3nz	4	16	preventing	prevent	VERB
cord-194157-ak2gc3nz	4	17	an	an	DET
cord-194157-ak2gc3nz	4	18	economic	economic	ADJ
cord-194157-ak2gc3nz	4	19	meltdown	meltdown	NOUN
cord-194157-ak2gc3nz	4	20	.	.	PUNCT
cord-194157-ak2gc3nz	5	1	in	in	ADP
cord-194157-ak2gc3nz	5	2	the	the	DET
cord-194157-ak2gc3nz	5	3	absence	absence	NOUN
cord-194157-ak2gc3nz	5	4	of	of	ADP
cord-194157-ak2gc3nz	5	5	a	a	DET
cord-194157-ak2gc3nz	5	6	vaccine	vaccine	NOUN
cord-194157-ak2gc3nz	5	7	,	,	PUNCT
cord-194157-ak2gc3nz	5	8	decision	decision	NOUN
cord-194157-ak2gc3nz	5	9	makers	maker	NOUN
cord-194157-ak2gc3nz	5	10	must	must	AUX
cord-194157-ak2gc3nz	5	11	choose	choose	VERB
cord-194157-ak2gc3nz	5	12	between	between	ADP
cord-194157-ak2gc3nz	5	13	various	various	ADJ
cord-194157-ak2gc3nz	5	14	non	non	ADJ
cord-194157-ak2gc3nz	5	15	-	-	ADJ
cord-194157-ak2gc3nz	5	16	pharmaceutical	pharmaceutical	ADJ
cord-194157-ak2gc3nz	5	17	interventions	intervention	NOUN
cord-194157-ak2gc3nz	5	18	.	.	PUNCT
cord-194157-ak2gc3nz	6	1	this	this	DET
cord-194157-ak2gc3nz	6	2	decision	decision	NOUN
cord-194157-ak2gc3nz	6	3	requires	require	VERB
cord-194157-ak2gc3nz	6	4	an	an	DET
cord-194157-ak2gc3nz	6	5	informative	informative	ADJ
cord-194157-ak2gc3nz	6	6	forecast	forecast	NOUN
cord-194157-ak2gc3nz	6	7	of	of	ADP
cord-194157-ak2gc3nz	6	8	the	the	DET
cord-194157-ak2gc3nz	6	9	epidemic	epidemic	NOUN
cord-194157-ak2gc3nz	6	10	at	at	ADP
cord-194157-ak2gc3nz	6	11	a	a	DET
cord-194157-ak2gc3nz	6	12	very	very	ADV
cord-194157-ak2gc3nz	6	13	early	early	ADJ
cord-194157-ak2gc3nz	6	14	time	time	NOUN
cord-194157-ak2gc3nz	6	15	.	.	PUNCT
cord-194157-ak2gc3nz	7	1	to	to	PART
cord-194157-ak2gc3nz	7	2	obtain	obtain	VERB
cord-194157-ak2gc3nz	7	3	such	such	DET
cord-194157-ak2gc3nz	7	4	a	a	DET
cord-194157-ak2gc3nz	7	5	forecast	forecast	NOUN
cord-194157-ak2gc3nz	7	6	,	,	PUNCT
cord-194157-ak2gc3nz	7	7	it	it	PRON
cord-194157-ak2gc3nz	7	8	is	be	AUX
cord-194157-ak2gc3nz	7	9	helpful	helpful	ADJ
cord-194157-ak2gc3nz	7	10	to	to	PART
cord-194157-ak2gc3nz	7	11	have	have	VERB
cord-194157-ak2gc3nz	7	12	a	a	DET
cord-194157-ak2gc3nz	7	13	parametrized	parametrized	ADJ
cord-194157-ak2gc3nz	7	14	model	model	NOUN
cord-194157-ak2gc3nz	7	15	for	for	ADP
cord-194157-ak2gc3nz	7	16	epidemics	epidemic	NOUN
cord-194157-ak2gc3nz	7	17	.	.	PUNCT
cord-194157-ak2gc3nz	8	1	what	what	PRON
cord-194157-ak2gc3nz	8	2	follows	follow	VERB
cord-194157-ak2gc3nz	8	3	is	be	AUX
cord-194157-ak2gc3nz	8	4	a	a	DET
cord-194157-ak2gc3nz	8	5	particularly	particularly	ADV
cord-194157-ak2gc3nz	8	6	popular	popular	ADJ
cord-194157-ak2gc3nz	8	7	compartmental	compartmental	NOUN
cord-194157-ak2gc3nz	8	8	model	model	NOUN
cord-194157-ak2gc3nz	8	9	that	that	PRON
cord-194157-ak2gc3nz	8	10	originates	originate	VERB
cord-194157-ak2gc3nz	8	11	from	from	ADP
cord-194157-ak2gc3nz	8	12	the	the	DET
cord-194157-ak2gc3nz	8	13	classic	classic	ADJ
cord-194157-ak2gc3nz	8	14	work	work	NOUN
cord-194157-ak2gc3nz	8	15	of	of	ADP
cord-194157-ak2gc3nz	8	16	kermack	kermack	NOUN
cord-194157-ak2gc3nz	8	17	and	and	CCONJ
cord-194157-ak2gc3nz	8	18	mckendrick	mckendrick	PROPN
cord-194157-ak2gc3nz	9	1	[	[	X
cord-194157-ak2gc3nz	9	2	4	4	NUM
cord-194157-ak2gc3nz	9	3	]	]	PUNCT
cord-194157-ak2gc3nz	9	4	.	.	PUNCT
cord-194157-ak2gc3nz	10	1	definition	definition	NOUN
cord-194157-ak2gc3nz	10	2	1	1	NUM
cord-194157-ak2gc3nz	10	3	(	(	PUNCT
cord-194157-ak2gc3nz	10	4	sir	sir	PROPN
cord-194157-ak2gc3nz	10	5	model	model	NOUN
cord-194157-ak2gc3nz	10	6	)	)	PUNCT
cord-194157-ak2gc3nz	10	7	.	.	PUNCT
cord-194157-ak2gc3nz	11	1	fix	fix	VERB
cord-194157-ak2gc3nz	11	2	a	a	DET
cord-194157-ak2gc3nz	11	3	simple	simple	ADJ
cord-194157-ak2gc3nz	11	4	,	,	PUNCT
cord-194157-ak2gc3nz	11	5	connected	connected	ADJ
cord-194157-ak2gc3nz	11	6	graph	graph	NOUN
cord-194157-ak2gc3nz	11	7	g	g	NOUN
cord-194157-ak2gc3nz	11	8	and	and	CCONJ
cord-194157-ak2gc3nz	11	9	parameters	parameter	NOUN
cord-194157-ak2gc3nz	11	10	λ	λ	PROPN
cord-194157-ak2gc3nz	11	11	,	,	PUNCT
cord-194157-ak2gc3nz	11	12	µ	µ	PROPN
cord-194157-ak2gc3nz	11	13	≥	≥	NOUN
cord-194157-ak2gc3nz	11	14	0	0	NUM
cord-194157-ak2gc3nz	11	15	.	.	PUNCT
cord-194157-ak2gc3nz	12	1	consider	consider	VERB
cord-194157-ak2gc3nz	12	2	a	a	DET
cord-194157-ak2gc3nz	12	3	continuous	continuous	ADJ
cord-194157-ak2gc3nz	12	4	-	-	PUNCT
cord-194157-ak2gc3nz	12	5	time	time	NOUN
cord-194157-ak2gc3nz	12	6	markov	markov	NOUN
cord-194157-ak2gc3nz	12	7	chain	chain	NOUN
cord-194157-ak2gc3nz	12	8	in	in	ADP
cord-194157-ak2gc3nz	12	9	which	which	PRON
cord-194157-ak2gc3nz	12	10	the	the	DET
cord-194157-ak2gc3nz	12	11	state	state	NOUN
cord-194157-ak2gc3nz	12	12	is	be	AUX
cord-194157-ak2gc3nz	12	13	a	a	DET
cord-194157-ak2gc3nz	12	14	partition	partition	NOUN
cord-194157-ak2gc3nz	12	15	(	(	PUNCT
cord-194157-ak2gc3nz	12	16	s	s	PROPN
cord-194157-ak2gc3nz	12	17	,	,	PUNCT
cord-194157-ak2gc3nz	12	18	i	i	PROPN
cord-194157-ak2gc3nz	12	19	,	,	PUNCT
cord-194157-ak2gc3nz	12	20	r	r	NOUN
cord-194157-ak2gc3nz	12	21	)	)	PUNCT
cord-194157-ak2gc3nz	12	22	of	of	ADP
cord-194157-ak2gc3nz	12	23	v	v	NOUN
cord-194157-ak2gc3nz	12	24	(	(	PUNCT
cord-194157-ak2gc3nz	12	25	g	g	NOUN
cord-194157-ak2gc3nz	12	26	)	)	PUNCT
cord-194157-ak2gc3nz	12	27	.	.	PUNCT
cord-194157-ak2gc3nz	13	1	for	for	ADP
cord-194157-ak2gc3nz	13	2	the	the	DET
cord-194157-ak2gc3nz	13	3	initial	initial	ADJ
cord-194157-ak2gc3nz	13	4	state	state	NOUN
cord-194157-ak2gc3nz	13	5	,	,	PUNCT
cord-194157-ak2gc3nz	13	6	draw	draw	VERB
cord-194157-ak2gc3nz	13	7	v	v	ADP
cord-194157-ak2gc3nz	13	8	∼	∼	X
cord-194157-ak2gc3nz	13	9	unif(v	unif(v	ADJ
cord-194157-ak2gc3nz	13	10	(	(	PUNCT
cord-194157-ak2gc3nz	13	11	g	g	NOUN
cord-194157-ak2gc3nz	13	12	)	)	PUNCT
cord-194157-ak2gc3nz	13	13	)	)	PUNCT
cord-194157-ak2gc3nz	13	14	and	and	CCONJ
cord-194157-ak2gc3nz	13	15	put	put	VERB
cord-194157-ak2gc3nz	13	16	in	in	ADP
cord-194157-ak2gc3nz	13	17	fact	fact	NOUN
cord-194157-ak2gc3nz	13	18	,	,	PUNCT
cord-194157-ak2gc3nz	13	19	(	(	PUNCT
cord-194157-ak2gc3nz	13	20	s(t	s(t	PROPN
cord-194157-ak2gc3nz	13	21	)	)	PUNCT
cord-194157-ak2gc3nz	13	22	,	,	PUNCT
cord-194157-ak2gc3nz	13	23	i(t	i(t	PROPN
cord-194157-ak2gc3nz	13	24	)	)	PUNCT
cord-194157-ak2gc3nz	13	25	,	,	PUNCT
cord-194157-ak2gc3nz	13	26	r(t	r(t	NOUN
cord-194157-ak2gc3nz	13	27	)	)	PUNCT
cord-194157-ak2gc3nz	13	28	)	)	PUNCT
cord-194157-ak2gc3nz	13	29	is	be	AUX
cord-194157-ak2gc3nz	13	30	also	also	ADV
cord-194157-ak2gc3nz	13	31	a	a	DET
cord-194157-ak2gc3nz	13	32	continuous	continuous	ADJ
cord-194157-ak2gc3nz	13	33	-	-	PUNCT
cord-194157-ak2gc3nz	13	34	time	time	NOUN
cord-194157-ak2gc3nz	13	35	markov	markov	NOUN
cord-194157-ak2gc3nz	13	36	chain	chain	NOUN
cord-194157-ak2gc3nz	13	37	in	in	ADP
cord-194157-ak2gc3nz	13	38	this	this	DET
cord-194157-ak2gc3nz	13	39	case	case	NOUN
cord-194157-ak2gc3nz	13	40	.	.	PUNCT
cord-194157-ak2gc3nz	14	1	the	the	DET
cord-194157-ak2gc3nz	14	2	initial	initial	ADJ
cord-194157-ak2gc3nz	14	3	conditions	condition	NOUN
cord-194157-ak2gc3nz	14	4	are	be	AUX
cord-194157-ak2gc3nz	14	5	s(0	s(0	PROPN
cord-194157-ak2gc3nz	14	6	)	)	PUNCT
cord-194157-ak2gc3nz	14	7	=	=	NOUN
cord-194157-ak2gc3nz	14	8	n	n	NOUN
cord-194157-ak2gc3nz	14	9	−	−	PROPN
cord-194157-ak2gc3nz	14	10	1	1	NUM
cord-194157-ak2gc3nz	14	11	,	,	PUNCT
cord-194157-ak2gc3nz	14	12	i(0	i(0	NOUN
cord-194157-ak2gc3nz	14	13	)	)	PUNCT
cord-194157-ak2gc3nz	14	14	=	=	SYM
cord-194157-ak2gc3nz	14	15	1	1	NUM
cord-194157-ak2gc3nz	14	16	,	,	PUNCT
cord-194157-ak2gc3nz	14	17	r(0	r(0	PROPN
cord-194157-ak2gc3nz	14	18	)	)	PUNCT
cord-194157-ak2gc3nz	14	19	=	=	NOUN
cord-194157-ak2gc3nz	14	20	0	0	NUM
cord-194157-ak2gc3nz	14	21	,	,	PUNCT
cord-194157-ak2gc3nz	14	22	and	and	CCONJ
cord-194157-ak2gc3nz	14	23	the	the	DET
cord-194157-ak2gc3nz	14	24	process	process	NOUN
cord-194157-ak2gc3nz	14	25	transitions	transition	NOUN
cord-194157-ak2gc3nz	14	26	(	(	PUNCT
cord-194157-ak2gc3nz	14	27	s	s	PROPN
cord-194157-ak2gc3nz	14	28	,	,	PUNCT
cord-194157-ak2gc3nz	14	29	i	i	PROPN
cord-194157-ak2gc3nz	14	30	,	,	PUNCT
cord-194157-ak2gc3nz	14	31	r	r	NOUN
cord-194157-ak2gc3nz	14	32	)	)	PUNCT
cord-194157-ak2gc3nz	14	33	→	→	ADP
cord-194157-ak2gc3nz	14	34	(	(	PUNCT
cord-194157-ak2gc3nz	14	35	s	s	X
cord-194157-ak2gc3nz	14	36	−	−	PROPN
cord-194157-ak2gc3nz	14	37	1	1	NUM
cord-194157-ak2gc3nz	14	38	,	,	PUNCT
cord-194157-ak2gc3nz	14	39	i	i	PRON
cord-194157-ak2gc3nz	14	40	+	+	NOUN
cord-194157-ak2gc3nz	14	41	1	1	NUM
cord-194157-ak2gc3nz	14	42	,	,	PUNCT
cord-194157-ak2gc3nz	14	43	r	r	NOUN
cord-194157-ak2gc3nz	14	44	)	)	PUNCT
cord-194157-ak2gc3nz	14	45	with	with	ADP
cord-194157-ak2gc3nz	14	46	rate	rate	NOUN
cord-194157-ak2gc3nz	14	47	λis	λis	PROPN
cord-194157-ak2gc3nz	14	48	and	and	CCONJ
cord-194157-ak2gc3nz	14	49	(	(	PUNCT
cord-194157-ak2gc3nz	14	50	s	s	PROPN
cord-194157-ak2gc3nz	14	51	,	,	PUNCT
cord-194157-ak2gc3nz	14	52	i	i	PROPN
cord-194157-ak2gc3nz	14	53	,	,	PUNCT
cord-194157-ak2gc3nz	14	54	r	r	NOUN
cord-194157-ak2gc3nz	14	55	)	)	PUNCT
cord-194157-ak2gc3nz	14	56	→	→	ADP
cord-194157-ak2gc3nz	14	57	(	(	PUNCT
cord-194157-ak2gc3nz	14	58	s	s	X
cord-194157-ak2gc3nz	14	59	,	,	PUNCT
cord-194157-ak2gc3nz	14	60	i	i	NOUN
cord-194157-ak2gc3nz	14	61	−	−	SYM
cord-194157-ak2gc3nz	14	62	1	1	NUM
cord-194157-ak2gc3nz	14	63	,	,	PUNCT
cord-194157-ak2gc3nz	14	64	r	r	NOUN
cord-194157-ak2gc3nz	14	65	+	+	NUM
cord-194157-ak2gc3nz	14	66	1	1	NUM
cord-194157-ak2gc3nz	14	67	)	)	PUNCT
cord-194157-ak2gc3nz	14	68	with	with	ADP
cord-194157-ak2gc3nz	14	69	rate	rate	PROPN
cord-194157-ak2gc3nz	14	70	µi	µi	PROPN
cord-194157-ak2gc3nz	14	71	.	.	PUNCT
cord-194157-ak2gc3nz	15	1	assuming	assume	VERB
cord-194157-ak2gc3nz	15	2	n	n	PRON
cord-194157-ak2gc3nz	15	3	is	be	AUX
cord-194157-ak2gc3nz	15	4	large	large	ADJ
cord-194157-ak2gc3nz	15	5	and	and	CCONJ
cord-194157-ak2gc3nz	15	6	λn	λn	NOUN
cord-194157-ak2gc3nz	15	7	=	=	NOUN
cord-194157-ak2gc3nz	15	8	:	:	PUNCT
cord-194157-ak2gc3nz	15	9	β	β	PROPN
cord-194157-ak2gc3nz	15	10	,	,	PUNCT
cord-194157-ak2gc3nz	15	11	then	then	ADV
cord-194157-ak2gc3nz	15	12	putting	put	VERB
cord-194157-ak2gc3nz	15	13	σ	σ	PROPN
cord-194157-ak2gc3nz	15	14	:	:	PUNCT
cord-194157-ak2gc3nz	15	15	=	=	SYM
cord-194157-ak2gc3nz	15	16	s	s	X
cord-194157-ak2gc3nz	15	17	/	/	SYM
cord-194157-ak2gc3nz	15	18	n	n	PROPN
cord-194157-ak2gc3nz	15	19	,	,	PUNCT
cord-194157-ak2gc3nz	15	20	ι	ι	PROPN
cord-194157-ak2gc3nz	15	21	:	:	PUNCT
cord-194157-ak2gc3nz	15	22	=	=	NOUN
cord-194157-ak2gc3nz	15	23	i	i	NOUN
cord-194157-ak2gc3nz	15	24	/	/	SYM
cord-194157-ak2gc3nz	15	25	n	n	NOUN
cord-194157-ak2gc3nz	15	26	,	,	PUNCT
cord-194157-ak2gc3nz	15	27	and	and	CCONJ
cord-194157-ak2gc3nz	15	28	ρ	ρ	NOUN
cord-194157-ak2gc3nz	15	29	:	:	PUNCT
cord-194157-ak2gc3nz	15	30	=	=	NOUN
cord-194157-ak2gc3nz	15	31	r	r	NOUN
cord-194157-ak2gc3nz	15	32	/	/	SYM
cord-194157-ak2gc3nz	15	33	n	n	PROPN
cord-194157-ak2gc3nz	15	34	,	,	PUNCT
cord-194157-ak2gc3nz	15	35	we	we	PRON
cord-194157-ak2gc3nz	15	36	may	may	AUX
cord-194157-ak2gc3nz	15	37	pass	pass	VERB
cord-194157-ak2gc3nz	15	38	to	to	ADP
cord-194157-ak2gc3nz	15	39	the	the	DET
cord-194157-ak2gc3nz	15	40	mean	mean	ADJ
cord-194157-ak2gc3nz	15	41	-	-	PUNCT
cord-194157-ak2gc3nz	15	42	field	field	NOUN
cord-194157-ak2gc3nz	15	43	approximation	approximation	NOUN
cord-194157-ak2gc3nz	15	44	:	:	PUNCT
cord-194157-ak2gc3nz	15	45	this	this	DET
cord-194157-ak2gc3nz	15	46	approximation	approximation	NOUN
cord-194157-ak2gc3nz	15	47	is	be	AUX
cord-194157-ak2gc3nz	15	48	popular	popular	ADJ
cord-194157-ak2gc3nz	15	49	because	because	SCONJ
cord-194157-ak2gc3nz	15	50	it	it	PRON
cord-194157-ak2gc3nz	15	51	is	be	AUX
cord-194157-ak2gc3nz	15	52	much	much	ADV
cord-194157-ak2gc3nz	15	53	easier	easy	ADJ
cord-194157-ak2gc3nz	15	54	to	to	PART
cord-194157-ak2gc3nz	15	55	interact	interact	VERB
cord-194157-ak2gc3nz	15	56	with	with	ADP
cord-194157-ak2gc3nz	15	57	.	.	PUNCT
cord-194157-ak2gc3nz	16	1	the	the	DET
cord-194157-ak2gc3nz	16	2	approximation	approximation	NOUN
cord-194157-ak2gc3nz	16	3	is	be	AUX
cord-194157-ak2gc3nz	16	4	good	good	ADJ
cord-194157-ak2gc3nz	16	5	once	once	SCONJ
cord-194157-ak2gc3nz	16	6	the	the	DET
cord-194157-ak2gc3nz	16	7	number	number	NOUN
cord-194157-ak2gc3nz	16	8	of	of	ADP
cord-194157-ak2gc3nz	16	9	infected	infected	ADJ
cord-194157-ak2gc3nz	16	10	vertices	vertex	NOUN
cord-194157-ak2gc3nz	16	11	becomes	become	VERB
cord-194157-ak2gc3nz	16	12	a	a	DET
cord-194157-ak2gc3nz	16	13	fraction	fraction	NOUN
cord-194157-ak2gc3nz	16	14	of	of	ADP
cord-194157-ak2gc3nz	16	15	n	n	ADV
cord-194157-ak2gc3nz	16	16	,	,	PUNCT
cord-194157-ak2gc3nz	16	17	and	and	CCONJ
cord-194157-ak2gc3nz	16	18	the	the	DET
cord-194157-ak2gc3nz	16	19	approximation	approximation	NOUN
cord-194157-ak2gc3nz	16	20	is	be	AUX
cord-194157-ak2gc3nz	16	21	better	well	ADJ
cord-194157-ak2gc3nz	16	22	when	when	SCONJ
cord-194157-ak2gc3nz	16	23	this	this	DET
cord-194157-ak2gc3nz	16	24	fraction	fraction	NOUN
cord-194157-ak2gc3nz	16	25	is	be	AUX
cord-194157-ak2gc3nz	16	26	larger	large	ADJ
cord-194157-ak2gc3nz	16	27	[	[	X
cord-194157-ak2gc3nz	16	28	5	5	NUM
cord-194157-ak2gc3nz	16	29	]	]	PUNCT
cord-194157-ak2gc3nz	16	30	.	.	PUNCT
cord-194157-ak2gc3nz	17	1	this	this	PRON
cord-194157-ak2gc3nz	17	2	suggests	suggest	VERB
cord-194157-ak2gc3nz	17	3	an	an	DET
cord-194157-ak2gc3nz	17	4	initial	initial	ADJ
cord-194157-ak2gc3nz	17	5	condition	condition	NOUN
cord-194157-ak2gc3nz	17	6	of	of	ADP
cord-194157-ak2gc3nz	17	7	the	the	DET
cord-194157-ak2gc3nz	17	8	form	form	NOUN
cord-194157-ak2gc3nz	17	9	σ(t	σ(t	NOUN
cord-194157-ak2gc3nz	17	10	0	0	PUNCT
cord-194157-ak2gc3nz	17	11	)	)	PUNCT
cord-194157-ak2gc3nz	18	1	=	=	SYM
cord-194157-ak2gc3nz	18	2	1	1	NUM
cord-194157-ak2gc3nz	18	3	−	−	PROPN
cord-194157-ak2gc3nz	18	4	δ	δ	NOUN
cord-194157-ak2gc3nz	18	5	−	−	SYM
cord-194157-ak2gc3nz	18	6	γ	γ	PROPN
cord-194157-ak2gc3nz	18	7	,	,	PUNCT
cord-194157-ak2gc3nz	18	8	ι(t	ι(t	NOUN
cord-194157-ak2gc3nz	18	9	0	0	NUM
cord-194157-ak2gc3nz	18	10	)	)	PUNCT
cord-194157-ak2gc3nz	19	1	=	=	NOUN
cord-194157-ak2gc3nz	19	2	δ	δ	PROPN
cord-194157-ak2gc3nz	19	3	,	,	PUNCT
cord-194157-ak2gc3nz	19	4	ρ(t	ρ(t	PROPN
cord-194157-ak2gc3nz	19	5	0	0	NUM
cord-194157-ak2gc3nz	19	6	)	)	PUNCT
cord-194157-ak2gc3nz	20	1	=	=	PRON
cord-194157-ak2gc3nz	20	2	γ	γ	NOUN
cord-194157-ak2gc3nz	20	3	for	for	ADP
cord-194157-ak2gc3nz	20	4	some	some	DET
cord-194157-ak2gc3nz	20	5	small	small	ADJ
cord-194157-ak2gc3nz	20	6	t	t	NOUN
cord-194157-ak2gc3nz	20	7	0	0	NUM
cord-194157-ak2gc3nz	20	8	,	,	PUNCT
cord-194157-ak2gc3nz	20	9	δ	δ	PROPN
cord-194157-ak2gc3nz	20	10	,	,	PUNCT
cord-194157-ak2gc3nz	20	11	γ	γ	NOUN
cord-194157-ak2gc3nz	20	12	>	>	X
cord-194157-ak2gc3nz	20	13	0	0	NUM
cord-194157-ak2gc3nz	20	14	.	.	PUNCT
cord-194157-ak2gc3nz	21	1	for	for	ADP
cord-194157-ak2gc3nz	21	2	simplicity	simplicity	NOUN
cord-194157-ak2gc3nz	21	3	,	,	PUNCT
cord-194157-ak2gc3nz	21	4	we	we	PRON
cord-194157-ak2gc3nz	21	5	translate	translate	VERB
cord-194157-ak2gc3nz	21	6	time	time	NOUN
cord-194157-ak2gc3nz	21	7	so	so	SCONJ
cord-194157-ak2gc3nz	21	8	that	that	SCONJ
cord-194157-ak2gc3nz	21	9	t	t	PROPN
cord-194157-ak2gc3nz	21	10	0	0	NUM
cord-194157-ak2gc3nz	21	11	=	=	NOUN
cord-194157-ak2gc3nz	21	12	0	0	NUM
cord-194157-ak2gc3nz	21	13	.	.	PUNCT
cord-194157-ak2gc3nz	22	1	we	we	PRON
cord-194157-ak2gc3nz	22	2	argue	argue	VERB
cord-194157-ak2gc3nz	22	3	there	there	PRON
cord-194157-ak2gc3nz	22	4	is	be	VERB
cord-194157-ak2gc3nz	22	5	no	no	DET
cord-194157-ak2gc3nz	22	6	hope	hope	NOUN
cord-194157-ak2gc3nz	22	7	of	of	ADP
cord-194157-ak2gc3nz	22	8	determining	determine	VERB
cord-194157-ak2gc3nz	22	9	(	(	PUNCT
cord-194157-ak2gc3nz	22	10	β	β	NOUN
cord-194157-ak2gc3nz	22	11	,	,	PUNCT
cord-194157-ak2gc3nz	22	12	µ	µ	PROPN
cord-194157-ak2gc3nz	22	13	)	)	PUNCT
cord-194157-ak2gc3nz	22	14	from	from	ADP
cord-194157-ak2gc3nz	22	15	data	datum	NOUN
cord-194157-ak2gc3nz	22	16	of	of	ADP
cord-194157-ak2gc3nz	22	17	the	the	DET
cord-194157-ak2gc3nz	22	18	form	form	NOUN
cord-194157-ak2gc3nz	22	19	{	{	PUNCT
cord-194157-ak2gc3nz	22	20	ι(t	ι(t	X
cord-194157-ak2gc3nz	22	21	)	)	PUNCT
cord-194157-ak2gc3nz	22	22	+	+	CCONJ
cord-194157-ak2gc3nz	22	23	ρ(t	ρ(t	PROPN
cord-194157-ak2gc3nz	22	24	)	)	PUNCT
cord-194157-ak2gc3nz	22	25	}	}	PUNCT
cord-194157-ak2gc3nz	22	26	t∈[0	t∈[0	PROPN
cord-194157-ak2gc3nz	22	27	,	,	PUNCT
cord-194157-ak2gc3nz	22	28	]	]	PUNCT
cord-194157-ak2gc3nz	22	29	for	for	ADP
cord-194157-ak2gc3nz	22	30	small	small	ADJ
cord-194157-ak2gc3nz	22	31	>	>	X
cord-194157-ak2gc3nz	22	32	0	0	NUM
cord-194157-ak2gc3nz	22	33	.	.	PUNCT
cord-194157-ak2gc3nz	23	1	(	(	PUNCT
cord-194157-ak2gc3nz	23	2	while	while	SCONJ
cord-194157-ak2gc3nz	23	3	the	the	DET
cord-194157-ak2gc3nz	23	4	following	following	ADJ
cord-194157-ak2gc3nz	23	5	argument	argument	NOUN
cord-194157-ak2gc3nz	23	6	is	be	AUX
cord-194157-ak2gc3nz	23	7	not	not	PART
cord-194157-ak2gc3nz	23	8	rigorous	rigorous	ADJ
cord-194157-ak2gc3nz	23	9	,	,	PUNCT
cord-194157-ak2gc3nz	23	10	it	it	PRON
cord-194157-ak2gc3nz	23	11	conveys	convey	VERB
cord-194157-ak2gc3nz	23	12	the	the	DET
cord-194157-ak2gc3nz	23	13	main	main	ADJ
cord-194157-ak2gc3nz	23	14	idea	idea	NOUN
cord-194157-ak2gc3nz	23	15	.	.	PUNCT
cord-194157-ak2gc3nz	23	16	)	)	PUNCT
cord-194157-ak2gc3nz	24	1	notice	notice	VERB
cord-194157-ak2gc3nz	24	2	that	that	SCONJ
cord-194157-ak2gc3nz	24	3	for	for	ADP
cord-194157-ak2gc3nz	24	4	t	t	NOUN
cord-194157-ak2gc3nz	24	5	∈	∈	NOUN
cord-194157-ak2gc3nz	24	6	[	[	X
cord-194157-ak2gc3nz	24	7	0	0	NUM
cord-194157-ak2gc3nz	24	8	,	,	PUNCT
cord-194157-ak2gc3nz	24	9	]	]	X
cord-194157-ak2gc3nz	24	10	,	,	PUNCT
cord-194157-ak2gc3nz	24	11	it	it	PRON
cord-194157-ak2gc3nz	24	12	holds	hold	VERB
cord-194157-ak2gc3nz	24	13	that	that	SCONJ
cord-194157-ak2gc3nz	24	14	σ(t	σ(t	X
cord-194157-ak2gc3nz	24	15	)	)	PUNCT
cord-194157-ak2gc3nz	25	1	≈	≈	PROPN
cord-194157-ak2gc3nz	25	2	1	1	NUM
cord-194157-ak2gc3nz	25	3	,	,	PUNCT
cord-194157-ak2gc3nz	25	4	and	and	CCONJ
cord-194157-ak2gc3nz	25	5	so	so	ADV
cord-194157-ak2gc3nz	25	6	ι(t	ι(t	PUNCT
cord-194157-ak2gc3nz	25	7	)	)	PUNCT
cord-194157-ak2gc3nz	26	1	≈	≈	PROPN
cord-194157-ak2gc3nz	26	2	δe	δe	INTJ
cord-194157-ak2gc3nz	26	3	(	(	PUNCT
cord-194157-ak2gc3nz	26	4	β−µ)t	β−µ)t	PROPN
cord-194157-ak2gc3nz	26	5	and	and	CCONJ
cord-194157-ak2gc3nz	26	6	then	then	ADV
cord-194157-ak2gc3nz	26	7	our	our	PRON
cord-194157-ak2gc3nz	26	8	data	datum	NOUN
cord-194157-ak2gc3nz	26	9	takes	take	VERB
cord-194157-ak2gc3nz	26	10	the	the	DET
cord-194157-ak2gc3nz	26	11	form	form	NOUN
cord-194157-ak2gc3nz	26	12	δ	δ	PUNCT
cord-194157-ak2gc3nz	26	13	·	·	PUNCT
cord-194157-ak2gc3nz	26	14	e	e	PROPN
cord-194157-ak2gc3nz	26	15	(	(	PUNCT
cord-194157-ak2gc3nz	26	16	β−µ)t	β−µ)t	PROPN
cord-194157-ak2gc3nz	26	17	=	=	PROPN
cord-194157-ak2gc3nz	26	18	:	:	PUNCT
cord-194157-ak2gc3nz	26	19	a	a	PRON
cord-194157-ak2gc3nz	26	20	+	+	NOUN
cord-194157-ak2gc3nz	26	21	be	be	AUX
cord-194157-ak2gc3nz	26	22	ct	ct	ADJ
cord-194157-ak2gc3nz	26	23	.	.	PUNCT
cord-194157-ak2gc3nz	27	1	we	we	PRON
cord-194157-ak2gc3nz	27	2	can	can	AUX
cord-194157-ak2gc3nz	27	3	expect	expect	VERB
cord-194157-ak2gc3nz	27	4	to	to	PART
cord-194157-ak2gc3nz	27	5	determine	determine	VERB
cord-194157-ak2gc3nz	27	6	a	a	DET
cord-194157-ak2gc3nz	27	7	,	,	PUNCT
cord-194157-ak2gc3nz	27	8	b	b	NOUN
cord-194157-ak2gc3nz	27	9	,	,	PUNCT
cord-194157-ak2gc3nz	27	10	and	and	CCONJ
cord-194157-ak2gc3nz	27	11	c	c	NOUN
cord-194157-ak2gc3nz	27	12	by	by	ADP
cord-194157-ak2gc3nz	27	13	curve	curve	PROPN
cord-194157-ak2gc3nz	27	14	fitting	fitting	PROPN
cord-194157-ak2gc3nz	27	15	.	.	PUNCT
cord-194157-ak2gc3nz	28	1	however	however	ADV
cord-194157-ak2gc3nz	28	2	,	,	PUNCT
cord-194157-ak2gc3nz	28	3	we	we	PRON
cord-194157-ak2gc3nz	28	4	do	do	AUX
cord-194157-ak2gc3nz	28	5	n't	not	PART
cord-194157-ak2gc3nz	28	6	know	know	VERB
cord-194157-ak2gc3nz	28	7	δ	δ	PROPN
cord-194157-ak2gc3nz	28	8	or	or	CCONJ
cord-194157-ak2gc3nz	28	9	γ	γ	NUM
cord-194157-ak2gc3nz	28	10	,	,	PUNCT
cord-194157-ak2gc3nz	28	11	but	but	CCONJ
cord-194157-ak2gc3nz	28	12	rather	rather	ADV
cord-194157-ak2gc3nz	28	13	their	their	PRON
cord-194157-ak2gc3nz	28	14	sum	sum	NOUN
cord-194157-ak2gc3nz	28	15	.	.	PUNCT
cord-194157-ak2gc3nz	29	1	as	as	ADP
cord-194157-ak2gc3nz	29	2	such	such	ADJ
cord-194157-ak2gc3nz	29	3	,	,	PUNCT
cord-194157-ak2gc3nz	29	4	we	we	PRON
cord-194157-ak2gc3nz	29	5	claim	claim	VERB
cord-194157-ak2gc3nz	29	6	that	that	SCONJ
cord-194157-ak2gc3nz	29	7	(	(	PUNCT
cord-194157-ak2gc3nz	29	8	a	a	DET
cord-194157-ak2gc3nz	29	9	,	,	PUNCT
cord-194157-ak2gc3nz	29	10	b	b	PROPN
cord-194157-ak2gc3nz	29	11	,	,	PUNCT
cord-194157-ak2gc3nz	29	12	c	c	NOUN
cord-194157-ak2gc3nz	29	13	)	)	PUNCT
cord-194157-ak2gc3nz	29	14	only	only	ADV
cord-194157-ak2gc3nz	29	15	determines	determine	VERB
cord-194157-ak2gc3nz	29	16	β	β	PROPN
cord-194157-ak2gc3nz	29	17	−	−	PROPN
cord-194157-ak2gc3nz	29	18	µ.	µ.	NOUN
cord-194157-ak2gc3nz	29	19	indeed	indeed	ADV
cord-194157-ak2gc3nz	29	20	,	,	PUNCT
cord-194157-ak2gc3nz	29	21	for	for	ADP
cord-194157-ak2gc3nz	29	22	every	every	DET
cord-194157-ak2gc3nz	29	23	choice	choice	NOUN
cord-194157-ak2gc3nz	29	24	of	of	ADP
cord-194157-ak2gc3nz	29	25	(	(	PUNCT
cord-194157-ak2gc3nz	29	26	β	β	PROPN
cord-194157-ak2gc3nz	29	27	,	,	PUNCT
cord-194157-ak2gc3nz	29	28	µ	µ	PROPN
cord-194157-ak2gc3nz	29	29	)	)	PUNCT
cord-194157-ak2gc3nz	29	30	such	such	ADJ
cord-194157-ak2gc3nz	29	31	that	that	SCONJ
cord-194157-ak2gc3nz	29	32	β	β	PROPN
cord-194157-ak2gc3nz	29	33	−	−	PROPN
cord-194157-ak2gc3nz	29	34	µ	µ	PROPN
cord-194157-ak2gc3nz	29	35	=	=	X
cord-194157-ak2gc3nz	29	36	c	c	NOUN
cord-194157-ak2gc3nz	29	37	,	,	PUNCT
cord-194157-ak2gc3nz	29	38	it	it	PRON
cord-194157-ak2gc3nz	29	39	could	could	AUX
cord-194157-ak2gc3nz	29	40	be	be	AUX
cord-194157-ak2gc3nz	29	41	the	the	DET
cord-194157-ak2gc3nz	29	42	case	case	NOUN
cord-194157-ak2gc3nz	29	43	that	that	SCONJ
cord-194157-ak2gc3nz	29	44	which	which	PRON
cord-194157-ak2gc3nz	29	45	would	would	AUX
cord-194157-ak2gc3nz	29	46	then	then	ADV
cord-194157-ak2gc3nz	29	47	be	be	AUX
cord-194157-ak2gc3nz	29	48	consistent	consistent	ADJ
cord-194157-ak2gc3nz	29	49	with	with	ADP
cord-194157-ak2gc3nz	29	50	the	the	DET
cord-194157-ak2gc3nz	29	51	data	datum	NOUN
cord-194157-ak2gc3nz	29	52	(	(	PUNCT
cord-194157-ak2gc3nz	29	53	a	a	PRON
cord-194157-ak2gc3nz	29	54	,	,	PUNCT
cord-194157-ak2gc3nz	29	55	b	b	PROPN
cord-194157-ak2gc3nz	29	56	,	,	PUNCT
cord-194157-ak2gc3nz	29	57	c	c	NOUN
cord-194157-ak2gc3nz	29	58	)	)	PUNCT
cord-194157-ak2gc3nz	29	59	.	.	PUNCT
cord-194157-ak2gc3nz	30	1	of	of	ADV
cord-194157-ak2gc3nz	30	2	course	course	NOUN
cord-194157-ak2gc3nz	30	3	,	,	PUNCT
cord-194157-ak2gc3nz	30	4	additional	additional	ADJ
cord-194157-ak2gc3nz	30	5	information	information	NOUN
cord-194157-ak2gc3nz	30	6	about	about	ADP
cord-194157-ak2gc3nz	30	7	(	(	PUNCT
cord-194157-ak2gc3nz	30	8	β	β	PROPN
cord-194157-ak2gc3nz	30	9	,	,	PUNCT
cord-194157-ak2gc3nz	30	10	µ	µ	PROPN
cord-194157-ak2gc3nz	30	11	)	)	PUNCT
cord-194157-ak2gc3nz	30	12	could	could	AUX
cord-194157-ak2gc3nz	30	13	conceivably	conceivably	ADV
cord-194157-ak2gc3nz	30	14	be	be	AUX
cord-194157-ak2gc3nz	30	15	extracted	extract	VERB
cord-194157-ak2gc3nz	30	16	from	from	ADP
cord-194157-ak2gc3nz	30	17	higher	high	ADJ
cord-194157-ak2gc3nz	30	18	-	-	PUNCT
cord-194157-ak2gc3nz	30	19	order	order	NOUN
cord-194157-ak2gc3nz	30	20	terms	term	NOUN
cord-194157-ak2gc3nz	30	21	,	,	PUNCT
cord-194157-ak2gc3nz	30	22	since	since	SCONJ
cord-194157-ak2gc3nz	30	23	a	a	PRON
cord-194157-ak2gc3nz	30	24	+	+	NOUN
cord-194157-ak2gc3nz	30	25	be	be	AUX
cord-194157-ak2gc3nz	30	26	ct	ct	ADJ
cord-194157-ak2gc3nz	30	27	is	be	AUX
cord-194157-ak2gc3nz	30	28	merely	merely	ADV
cord-194157-ak2gc3nz	30	29	an	an	DET
cord-194157-ak2gc3nz	30	30	approximation	approximation	NOUN
cord-194157-ak2gc3nz	30	31	of	of	ADP
cord-194157-ak2gc3nz	30	32	ι(t	ι(t	PROPN
cord-194157-ak2gc3nz	30	33	)	)	PUNCT
cord-194157-ak2gc3nz	30	34	+	+	CCONJ
cord-194157-ak2gc3nz	30	35	ρ(t	ρ(t	PROPN
cord-194157-ak2gc3nz	30	36	)	)	PUNCT
cord-194157-ak2gc3nz	30	37	.	.	PUNCT
cord-194157-ak2gc3nz	31	1	however	however	ADV
cord-194157-ak2gc3nz	31	2	,	,	PUNCT
cord-194157-ak2gc3nz	31	3	we	we	PRON
cord-194157-ak2gc3nz	31	4	expect	expect	VERB
cord-194157-ak2gc3nz	31	5	any	any	DET
cord-194157-ak2gc3nz	31	6	such	such	ADJ
cord-194157-ak2gc3nz	31	7	signal	signal	NOUN
cord-194157-ak2gc3nz	31	8	to	to	PART
cord-194157-ak2gc3nz	31	9	be	be	AUX
cord-194157-ak2gc3nz	31	10	dwarfed	dwarf	VERB
cord-194157-ak2gc3nz	31	11	by	by	ADP
cord-194157-ak2gc3nz	31	12	noise	noise	NOUN
cord-194157-ak2gc3nz	31	13	in	in	ADP
cord-194157-ak2gc3nz	31	14	the	the	DET
cord-194157-ak2gc3nz	31	15	data	datum	NOUN
cord-194157-ak2gc3nz	31	16	.	.	PUNCT
cord-194157-ak2gc3nz	32	1	while	while	SCONJ
cord-194157-ak2gc3nz	32	2	the	the	DET
cord-194157-ak2gc3nz	32	3	short	short	ADJ
cord-194157-ak2gc3nz	32	4	-	-	PUNCT
cord-194157-ak2gc3nz	32	5	term	term	NOUN
cord-194157-ak2gc3nz	32	6	behavior	behavior	NOUN
cord-194157-ak2gc3nz	32	7	of	of	ADP
cord-194157-ak2gc3nz	32	8	ι	ι	PROPN
cord-194157-ak2gc3nz	32	9	is	be	AUX
cord-194157-ak2gc3nz	32	10	exponential	exponential	ADJ
cord-194157-ak2gc3nz	32	11	with	with	ADP
cord-194157-ak2gc3nz	32	12	rate	rate	NOUN
cord-194157-ak2gc3nz	32	13	β	β	PROPN
cord-194157-ak2gc3nz	32	14	−	−	PROPN
cord-194157-ak2gc3nz	32	15	µ	µ	PROPN
cord-194157-ak2gc3nz	32	16	,	,	PUNCT
cord-194157-ak2gc3nz	32	17	the	the	DET
cord-194157-ak2gc3nz	32	18	long	long	ADJ
cord-194157-ak2gc3nz	32	19	-	-	PUNCT
cord-194157-ak2gc3nz	32	20	term	term	NOUN
cord-194157-ak2gc3nz	32	21	behavior	behavior	NOUN
cord-194157-ak2gc3nz	32	22	is	be	AUX
cord-194157-ak2gc3nz	32	23	instead	instead	ADV
cord-194157-ak2gc3nz	32	24	governed	govern	VERB
cord-194157-ak2gc3nz	32	25	by	by	ADP
cord-194157-ak2gc3nz	32	26	the	the	DET
cord-194157-ak2gc3nz	32	27	quotient	quotient	NOUN
cord-194157-ak2gc3nz	32	28	r	r	NOUN
cord-194157-ak2gc3nz	32	29	0	0	PUNCT
cord-194157-ak2gc3nz	32	30	:	:	PUNCT
cord-194157-ak2gc3nz	33	1	=	=	NOUN
cord-194157-ak2gc3nz	33	2	β/µ	β/µ	NOUN
cord-194157-ak2gc3nz	33	3	,	,	PUNCT
cord-194157-ak2gc3nz	33	4	known	know	VERB
cord-194157-ak2gc3nz	33	5	as	as	ADP
cord-194157-ak2gc3nz	33	6	the	the	DET
cord-194157-ak2gc3nz	33	7	basic	basic	ADJ
cord-194157-ak2gc3nz	33	8	reproductive	reproductive	ADJ
cord-194157-ak2gc3nz	33	9	number	number	NOUN
cord-194157-ak2gc3nz	33	10	.	.	PUNCT
cord-194157-ak2gc3nz	34	1	this	this	PRON
cord-194157-ak2gc3nz	34	2	can	can	AUX
cord-194157-ak2gc3nz	34	3	be	be	AUX
cord-194157-ak2gc3nz	34	4	seen	see	VERB
cord-194157-ak2gc3nz	34	5	by	by	ADP
cord-194157-ak2gc3nz	34	6	dilating	dilate	VERB
cord-194157-ak2gc3nz	34	7	time	time	NOUN
cord-194157-ak2gc3nz	34	8	by	by	ADP
cord-194157-ak2gc3nz	34	9	substituting	substitute	VERB
cord-194157-ak2gc3nz	35	1	s	s	PROPN
cord-194157-ak2gc3nz	35	2	=	=	PROPN
cord-194157-ak2gc3nz	35	3	µt	µt	NOUN
cord-194157-ak2gc3nz	35	4	.	.	PUNCT
cord-194157-ak2gc3nz	36	1	in	in	ADP
cord-194157-ak2gc3nz	36	2	this	this	DET
cord-194157-ak2gc3nz	36	3	variable	variable	NOUN
cord-194157-ak2gc3nz	36	4	,	,	PUNCT
cord-194157-ak2gc3nz	36	5	the	the	DET
cord-194157-ak2gc3nz	36	6	mean	mean	ADJ
cord-194157-ak2gc3nz	36	7	-	-	PUNCT
cord-194157-ak2gc3nz	36	8	field	field	NOUN
cord-194157-ak2gc3nz	36	9	approximation	approximation	NOUN
cord-194157-ak2gc3nz	36	10	instead	instead	ADV
cord-194157-ak2gc3nz	36	11	takes	take	VERB
cord-194157-ak2gc3nz	36	12	the	the	DET
cord-194157-ak2gc3nz	36	13	form	form	NOUN
cord-194157-ak2gc3nz	36	14	that	that	PRON
cord-194157-ak2gc3nz	36	15	is	be	AUX
cord-194157-ak2gc3nz	36	16	,	,	PUNCT
cord-194157-ak2gc3nz	36	17	r	r	NOUN
cord-194157-ak2gc3nz	36	18	0	0	NUM
cord-194157-ak2gc3nz	36	19	(	(	PUNCT
cord-194157-ak2gc3nz	36	20	together	together	ADV
cord-194157-ak2gc3nz	36	21	with	with	ADP
cord-194157-ak2gc3nz	36	22	initial	initial	ADJ
cord-194157-ak2gc3nz	36	23	conditions	condition	NOUN
cord-194157-ak2gc3nz	36	24	)	)	PUNCT
cord-194157-ak2gc3nz	36	25	determines	determine	VERB
cord-194157-ak2gc3nz	36	26	ι	ι	PROPN
cord-194157-ak2gc3nz	36	27	modulo	modulo	PROPN
cord-194157-ak2gc3nz	36	28	time	time	NOUN
cord-194157-ak2gc3nz	36	29	dilation	dilation	NOUN
cord-194157-ak2gc3nz	36	30	,	,	PUNCT
cord-194157-ak2gc3nz	36	31	and	and	CCONJ
cord-194157-ak2gc3nz	36	32	notably	notably	ADV
cord-194157-ak2gc3nz	36	33	,	,	PUNCT
cord-194157-ak2gc3nz	36	34	whether	whether	SCONJ
cord-194157-ak2gc3nz	36	35	the	the	DET
cord-194157-ak2gc3nz	36	36	curve	curve	NOUN
cord-194157-ak2gc3nz	36	37	ever	ever	ADV
cord-194157-ak2gc3nz	36	38	exceeds	exceed	VERB
cord-194157-ak2gc3nz	36	39	the	the	DET
cord-194157-ak2gc3nz	36	40	capacity	capacity	NOUN
cord-194157-ak2gc3nz	36	41	of	of	ADP
cord-194157-ak2gc3nz	36	42	the	the	DET
cord-194157-ak2gc3nz	36	43	medical	medical	ADJ
cord-194157-ak2gc3nz	36	44	care	care	NOUN
cord-194157-ak2gc3nz	36	45	system	system	NOUN
cord-194157-ak2gc3nz	36	46	.	.	PUNCT
cord-194157-ak2gc3nz	37	1	however	however	ADV
cord-194157-ak2gc3nz	37	2	,	,	PUNCT
cord-194157-ak2gc3nz	37	3	r	r	NOUN
cord-194157-ak2gc3nz	37	4	0	0	NUM
cord-194157-ak2gc3nz	37	5	=	=	NOUN
cord-194157-ak2gc3nz	37	6	β/µ	β/µ	NOUN
cord-194157-ak2gc3nz	37	7	can	can	AUX
cord-194157-ak2gc3nz	37	8	not	not	PART
cord-194157-ak2gc3nz	37	9	be	be	AUX
cord-194157-ak2gc3nz	37	10	determined	determine	VERB
cord-194157-ak2gc3nz	37	11	from	from	ADP
cord-194157-ak2gc3nz	37	12	β	β	PROPN
cord-194157-ak2gc3nz	37	13	−	−	PROPN
cord-194157-ak2gc3nz	37	14	µ.	µ.	NOUN
cord-194157-ak2gc3nz	37	15	overall	overall	ADV
cord-194157-ak2gc3nz	37	16	,	,	PUNCT
cord-194157-ak2gc3nz	37	17	the	the	DET
cord-194157-ak2gc3nz	37	18	complete	complete	ADJ
cord-194157-ak2gc3nz	37	19	graph	graph	NOUN
cord-194157-ak2gc3nz	37	20	is	be	AUX
cord-194157-ak2gc3nz	37	21	not	not	PART
cord-194157-ak2gc3nz	37	22	amenable	amenable	ADJ
cord-194157-ak2gc3nz	37	23	to	to	ADP
cord-194157-ak2gc3nz	37	24	determining	determine	VERB
cord-194157-ak2gc3nz	37	25	(	(	PUNCT
cord-194157-ak2gc3nz	37	26	λ	λ	PROPN
cord-194157-ak2gc3nz	37	27	,	,	PUNCT
cord-194157-ak2gc3nz	37	28	µ	µ	PROPN
cord-194157-ak2gc3nz	37	29	)	)	PUNCT
cord-194157-ak2gc3nz	37	30	from	from	ADP
cord-194157-ak2gc3nz	37	31	{	{	PUNCT
cord-194157-ak2gc3nz	37	32	u	u	PROPN
cord-194157-ak2gc3nz	37	33	(	(	PUNCT
cord-194157-ak2gc3nz	37	34	t	t	NOUN
cord-194157-ak2gc3nz	37	35	)	)	PUNCT
cord-194157-ak2gc3nz	37	36	}	}	PUNCT
cord-194157-ak2gc3nz	37	37	t∈[0	t∈[0	PROPN
cord-194157-ak2gc3nz	37	38	,	,	PUNCT
cord-194157-ak2gc3nz	37	39	]	]	PUNCT
cord-194157-ak2gc3nz	37	40	.	.	PUNCT
cord-194157-ak2gc3nz	38	1	however	however	ADV
cord-194157-ak2gc3nz	38	2	,	,	PUNCT
cord-194157-ak2gc3nz	38	3	real	real	ADJ
cord-194157-ak2gc3nz	38	4	-	-	PUNCT
cord-194157-ak2gc3nz	38	5	world	world	NOUN
cord-194157-ak2gc3nz	38	6	social	social	ADJ
cord-194157-ak2gc3nz	38	7	networks	network	NOUN
cord-194157-ak2gc3nz	38	8	are	be	AUX
cord-194157-ak2gc3nz	38	9	far	far	ADV
cord-194157-ak2gc3nz	38	10	from	from	ADP
cord-194157-ak2gc3nz	38	11	complete	complete	ADJ
cord-194157-ak2gc3nz	38	12	.	.	PUNCT
cord-194157-ak2gc3nz	39	1	like	like	ADP
cord-194157-ak2gc3nz	39	2	social	social	ADJ
cord-194157-ak2gc3nz	39	3	networks	network	NOUN
cord-194157-ak2gc3nz	39	4	,	,	PUNCT
cord-194157-ak2gc3nz	39	5	expander	expander	VERB
cord-194157-ak2gc3nz	39	6	graphs	graph	NOUN
cord-194157-ak2gc3nz	39	7	have	have	VERB
cord-194157-ak2gc3nz	39	8	low	low	ADJ
cord-194157-ak2gc3nz	39	9	degree	degree	NOUN
cord-194157-ak2gc3nz	39	10	,	,	PUNCT
cord-194157-ak2gc3nz	39	11	but	but	CCONJ
cord-194157-ak2gc3nz	39	12	considering	consider	VERB
cord-194157-ak2gc3nz	39	13	their	their	PRON
cord-194157-ak2gc3nz	39	14	spectral	spectral	ADJ
cord-194157-ak2gc3nz	39	15	properties	property	NOUN
cord-194157-ak2gc3nz	39	16	,	,	PUNCT
cord-194157-ak2gc3nz	39	17	one	one	PRON
cord-194157-ak2gc3nz	39	18	might	might	AUX
cord-194157-ak2gc3nz	39	19	presume	presume	VERB
cord-194157-ak2gc3nz	39	20	that	that	SCONJ
cord-194157-ak2gc3nz	39	21	they	they	PRON
cord-194157-ak2gc3nz	39	22	are	be	AUX
cord-194157-ak2gc3nz	39	23	just	just	ADV
cord-194157-ak2gc3nz	39	24	as	as	ADV
cord-194157-ak2gc3nz	39	25	opaque	opaque	ADJ
cord-194157-ak2gc3nz	39	26	as	as	ADP
cord-194157-ak2gc3nz	39	27	the	the	DET
cord-194157-ak2gc3nz	39	28	complete	complete	ADJ
cord-194157-ak2gc3nz	39	29	graph	graph	NOUN
cord-194157-ak2gc3nz	39	30	.	.	PUNCT
cord-194157-ak2gc3nz	40	1	surprisingly	surprisingly	ADV
cord-194157-ak2gc3nz	40	2	,	,	PUNCT
cord-194157-ak2gc3nz	40	3	this	this	PRON
cord-194157-ak2gc3nz	40	4	is	be	AUX
cord-194157-ak2gc3nz	40	5	not	not	PART
cord-194157-ak2gc3nz	40	6	correct	correct	ADJ
cord-194157-ak2gc3nz	40	7	!	!	PUNCT
cord-194157-ak2gc3nz	41	1	in	in	ADP
cord-194157-ak2gc3nz	41	2	this	this	DET
cord-194157-ak2gc3nz	41	3	paper	paper	NOUN
cord-194157-ak2gc3nz	41	4	,	,	PUNCT
cord-194157-ak2gc3nz	41	5	we	we	PRON
cord-194157-ak2gc3nz	41	6	show	show	VERB
cord-194157-ak2gc3nz	41	7	how	how	SCONJ
cord-194157-ak2gc3nz	41	8	certain	certain	ADJ
cord-194157-ak2gc3nz	41	9	graphs	graph	NOUN
cord-194157-ak2gc3nz	41	10	(	(	PUNCT
cord-194157-ak2gc3nz	41	11	including	include	VERB
cord-194157-ak2gc3nz	41	12	certain	certain	ADJ
cord-194157-ak2gc3nz	41	13	expander	expander	VERB
cord-194157-ak2gc3nz	41	14	graphs	graph	NOUN
cord-194157-ak2gc3nz	41	15	)	)	PUNCT
cord-194157-ak2gc3nz	41	16	are	be	AUX
cord-194157-ak2gc3nz	41	17	provably	provably	ADV
cord-194157-ak2gc3nz	41	18	amenable	amenable	ADJ
cord-194157-ak2gc3nz	41	19	to	to	ADP
cord-194157-ak2gc3nz	41	20	determining	determine	VERB
cord-194157-ak2gc3nz	41	21	(	(	PUNCT
cord-194157-ak2gc3nz	41	22	λ	λ	PROPN
cord-194157-ak2gc3nz	41	23	,	,	PUNCT
cord-194157-ak2gc3nz	41	24	µ	µ	PROPN
cord-194157-ak2gc3nz	41	25	)	)	PUNCT
cord-194157-ak2gc3nz	41	26	from	from	ADP
cord-194157-ak2gc3nz	41	27	{	{	PUNCT
cord-194157-ak2gc3nz	41	28	u	u	PROPN
cord-194157-ak2gc3nz	41	29	(	(	PUNCT
cord-194157-ak2gc3nz	41	30	t	t	NOUN
cord-194157-ak2gc3nz	41	31	)	)	PUNCT
cord-194157-ak2gc3nz	41	32	}	}	PUNCT
cord-194157-ak2gc3nz	41	33	t∈[0	t∈[0	PROPN
cord-194157-ak2gc3nz	41	34	,	,	PUNCT
cord-194157-ak2gc3nz	41	35	]	]	PUNCT
cord-194157-ak2gc3nz	41	36	.	.	PUNCT
cord-194157-ak2gc3nz	42	1	in	in	ADP
cord-194157-ak2gc3nz	42	2	the	the	DET
cord-194157-ak2gc3nz	42	3	following	following	ADJ
cord-194157-ak2gc3nz	42	4	section	section	NOUN
cord-194157-ak2gc3nz	42	5	,	,	PUNCT
cord-194157-ak2gc3nz	42	6	we	we	PRON
cord-194157-ak2gc3nz	42	7	introduce	introduce	VERB
cord-194157-ak2gc3nz	42	8	our	our	PRON
cord-194157-ak2gc3nz	42	9	approach	approach	NOUN
cord-194157-ak2gc3nz	42	10	.	.	PUNCT
cord-194157-ak2gc3nz	43	1	specifically	specifically	ADV
cord-194157-ak2gc3nz	43	2	,	,	PUNCT
cord-194157-ak2gc3nz	43	3	we	we	PRON
cord-194157-ak2gc3nz	43	4	isolate	isolate	VERB
cord-194157-ak2gc3nz	43	5	infections	infection	NOUN
cord-194157-ak2gc3nz	43	6	that	that	PRON
cord-194157-ak2gc3nz	43	7	pass	pass	VERB
cord-194157-ak2gc3nz	43	8	across	across	ADP
cord-194157-ak2gc3nz	43	9	bridges	bridge	NOUN
cord-194157-ak2gc3nz	43	10	in	in	ADP
cord-194157-ak2gc3nz	43	11	a	a	DET
cord-194157-ak2gc3nz	43	12	local	local	ADJ
cord-194157-ak2gc3nz	43	13	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	43	14	of	of	ADP
cord-194157-ak2gc3nz	43	15	the	the	DET
cord-194157-ak2gc3nz	43	16	social	social	ADJ
cord-194157-ak2gc3nz	43	17	network	network	NOUN
cord-194157-ak2gc3nz	43	18	,	,	PUNCT
cord-194157-ak2gc3nz	43	19	and	and	CCONJ
cord-194157-ak2gc3nz	43	20	then	then	ADV
cord-194157-ak2gc3nz	43	21	we	we	PRON
cord-194157-ak2gc3nz	43	22	estimate	estimate	VERB
cord-194157-ak2gc3nz	43	23	λ	λ	PROPN
cord-194157-ak2gc3nz	43	24	and	and	CCONJ
cord-194157-ak2gc3nz	43	25	µ	µ	NOUN
cord-194157-ak2gc3nz	43	26	from	from	ADP
cord-194157-ak2gc3nz	43	27	these	these	DET
cord-194157-ak2gc3nz	43	28	infection	infection	NOUN
cord-194157-ak2gc3nz	43	29	statistics	statistic	NOUN
cord-194157-ak2gc3nz	43	30	.	.	PUNCT
cord-194157-ak2gc3nz	44	1	section	section	NOUN
cord-194157-ak2gc3nz	44	2	3	3	NUM
cord-194157-ak2gc3nz	44	3	gives	give	VERB
cord-194157-ak2gc3nz	44	4	the	the	DET
cord-194157-ak2gc3nz	44	5	proof	proof	NOUN
cord-194157-ak2gc3nz	44	6	of	of	ADP
cord-194157-ak2gc3nz	44	7	our	our	PRON
cord-194157-ak2gc3nz	44	8	main	main	ADJ
cord-194157-ak2gc3nz	44	9	result	result	NOUN
cord-194157-ak2gc3nz	44	10	:	:	PUNCT
cord-194157-ak2gc3nz	44	11	that	that	SCONJ
cord-194157-ak2gc3nz	44	12	our	our	PRON
cord-194157-ak2gc3nz	44	13	approach	approach	NOUN
cord-194157-ak2gc3nz	44	14	provides	provide	VERB
cord-194157-ak2gc3nz	44	15	decent	decent	ADJ
cord-194157-ak2gc3nz	44	16	estimates	estimate	NOUN
cord-194157-ak2gc3nz	44	17	of	of	ADP
cord-194157-ak2gc3nz	44	18	λ	λ	PROPN
cord-194157-ak2gc3nz	44	19	and	and	CCONJ
cord-194157-ak2gc3nz	44	20	µ	µ	NOUN
cord-194157-ak2gc3nz	44	21	in	in	ADP
cord-194157-ak2gc3nz	44	22	the	the	DET
cord-194157-ak2gc3nz	44	23	setting	setting	NOUN
cord-194157-ak2gc3nz	44	24	of	of	ADP
cord-194157-ak2gc3nz	44	25	locally	locally	ADV
cord-194157-ak2gc3nz	44	26	tree	tree	NOUN
cord-194157-ak2gc3nz	44	27	-	-	PUNCT
cord-194157-ak2gc3nz	44	28	like	like	ADJ
cord-194157-ak2gc3nz	44	29	graphs	graph	NOUN
cord-194157-ak2gc3nz	44	30	.	.	PUNCT
cord-194157-ak2gc3nz	45	1	our	our	PRON
cord-194157-ak2gc3nz	45	2	proof	proof	NOUN
cord-194157-ak2gc3nz	45	3	makes	make	VERB
cord-194157-ak2gc3nz	45	4	use	use	NOUN
cord-194157-ak2gc3nz	45	5	of	of	ADP
cord-194157-ak2gc3nz	45	6	the	the	DET
cord-194157-ak2gc3nz	45	7	vast	vast	ADJ
cord-194157-ak2gc3nz	45	8	literature	literature	NOUN
cord-194157-ak2gc3nz	45	9	on	on	ADP
cord-194157-ak2gc3nz	45	10	sir	sir	PROPN
cord-194157-ak2gc3nz	45	11	dynamics	dynamic	NOUN
cord-194157-ak2gc3nz	45	12	on	on	ADP
cord-194157-ak2gc3nz	45	13	infinite	infinite	ADJ
cord-194157-ak2gc3nz	45	14	trees	tree	NOUN
cord-194157-ak2gc3nz	45	15	.	.	PUNCT
cord-194157-ak2gc3nz	46	1	we	we	PRON
cord-194157-ak2gc3nz	46	2	conclude	conclude	VERB
cord-194157-ak2gc3nz	46	3	in	in	ADP
cord-194157-ak2gc3nz	46	4	section	section	NOUN
cord-194157-ak2gc3nz	46	5	4	4	NUM
cord-194157-ak2gc3nz	46	6	with	with	ADP
cord-194157-ak2gc3nz	46	7	a	a	DET
cord-194157-ak2gc3nz	46	8	discussion	discussion	NOUN
cord-194157-ak2gc3nz	46	9	of	of	ADP
cord-194157-ak2gc3nz	46	10	opportunities	opportunity	NOUN
cord-194157-ak2gc3nz	46	11	for	for	ADP
cord-194157-ak2gc3nz	46	12	future	future	ADJ
cord-194157-ak2gc3nz	46	13	work	work	NOUN
cord-194157-ak2gc3nz	46	14	.	.	PUNCT
cord-194157-ak2gc3nz	47	1	we	we	PRON
cord-194157-ak2gc3nz	47	2	start	start	VERB
cord-194157-ak2gc3nz	47	3	with	with	ADP
cord-194157-ak2gc3nz	47	4	the	the	DET
cord-194157-ak2gc3nz	47	5	simple	simple	ADJ
cord-194157-ak2gc3nz	47	6	example	example	NOUN
cord-194157-ak2gc3nz	47	7	in	in	ADP
cord-194157-ak2gc3nz	47	8	which	which	PRON
cord-194157-ak2gc3nz	47	9	g	g	PROPN
cord-194157-ak2gc3nz	47	10	=	=	PROPN
cord-194157-ak2gc3nz	47	11	k	k	PROPN
cord-194157-ak2gc3nz	47	12	2	2	NUM
cord-194157-ak2gc3nz	47	13	.	.	PUNCT
cord-194157-ak2gc3nz	48	1	according	accord	VERB
cord-194157-ak2gc3nz	48	2	to	to	ADP
cord-194157-ak2gc3nz	48	3	the	the	DET
cord-194157-ak2gc3nz	48	4	sir	sir	PROPN
cord-194157-ak2gc3nz	48	5	process	process	NOUN
cord-194157-ak2gc3nz	48	6	,	,	PUNCT
cord-194157-ak2gc3nz	48	7	one	one	NUM
cord-194157-ak2gc3nz	48	8	of	of	ADP
cord-194157-ak2gc3nz	48	9	the	the	DET
cord-194157-ak2gc3nz	48	10	two	two	NUM
cord-194157-ak2gc3nz	48	11	vertices	vertex	NOUN
cord-194157-ak2gc3nz	48	12	is	be	AUX
cord-194157-ak2gc3nz	48	13	infected	infect	VERB
cord-194157-ak2gc3nz	48	14	,	,	PUNCT
cord-194157-ak2gc3nz	48	15	and	and	CCONJ
cord-194157-ak2gc3nz	48	16	then	then	ADV
cord-194157-ak2gc3nz	48	17	it	it	PRON
cord-194157-ak2gc3nz	48	18	either	either	CCONJ
cord-194157-ak2gc3nz	48	19	infects	infect	VERB
cord-194157-ak2gc3nz	48	20	the	the	DET
cord-194157-ak2gc3nz	48	21	other	other	ADJ
cord-194157-ak2gc3nz	48	22	vertex	vertex	NOUN
cord-194157-ak2gc3nz	48	23	or	or	CCONJ
cord-194157-ak2gc3nz	48	24	it	it	PRON
cord-194157-ak2gc3nz	48	25	recovers	recover	VERB
cord-194157-ak2gc3nz	48	26	before	before	ADP
cord-194157-ak2gc3nz	48	27	doing	do	VERB
cord-194157-ak2gc3nz	48	28	so	so	ADV
cord-194157-ak2gc3nz	48	29	.	.	PUNCT
cord-194157-ak2gc3nz	49	1	let	let	VERB
cord-194157-ak2gc3nz	49	2	z	z	NOUN
cord-194157-ak2gc3nz	49	3	denote	denote	VERB
cord-194157-ak2gc3nz	49	4	the	the	DET
cord-194157-ak2gc3nz	49	5	random	random	ADJ
cord-194157-ak2gc3nz	49	6	amount	amount	NOUN
cord-194157-ak2gc3nz	49	7	of	of	ADP
cord-194157-ak2gc3nz	49	8	time	time	NOUN
cord-194157-ak2gc3nz	49	9	it	it	PRON
cord-194157-ak2gc3nz	49	10	takes	take	VERB
cord-194157-ak2gc3nz	49	11	for	for	ADP
cord-194157-ak2gc3nz	49	12	the	the	DET
cord-194157-ak2gc3nz	49	13	second	second	ADJ
cord-194157-ak2gc3nz	49	14	vertex	vertex	NOUN
cord-194157-ak2gc3nz	49	15	to	to	PART
cord-194157-ak2gc3nz	49	16	become	become	VERB
cord-194157-ak2gc3nz	49	17	infected	infected	ADJ
cord-194157-ak2gc3nz	49	18	.	.	PUNCT
cord-194157-ak2gc3nz	50	1	notice	notice	VERB
cord-194157-ak2gc3nz	50	2	that	that	SCONJ
cord-194157-ak2gc3nz	50	3	z	z	X
cord-194157-ak2gc3nz	50	4	=	=	SYM
cord-194157-ak2gc3nz	50	5	∞	∞	PUNCT
cord-194157-ak2gc3nz	50	6	with	with	ADP
cord-194157-ak2gc3nz	50	7	probability	probability	NOUN
cord-194157-ak2gc3nz	50	8	µ	µ	PROPN
cord-194157-ak2gc3nz	50	9	λ+µ	λ+µ	X
cord-194157-ak2gc3nz	50	10	.	.	PUNCT
cord-194157-ak2gc3nz	51	1	on	on	ADP
cord-194157-ak2gc3nz	51	2	the	the	DET
cord-194157-ak2gc3nz	51	3	other	other	ADJ
cord-194157-ak2gc3nz	51	4	hand	hand	NOUN
cord-194157-ak2gc3nz	51	5	,	,	PUNCT
cord-194157-ak2gc3nz	51	6	if	if	SCONJ
cord-194157-ak2gc3nz	51	7	we	we	PRON
cord-194157-ak2gc3nz	51	8	condition	condition	VERB
cord-194157-ak2gc3nz	51	9	on	on	ADP
cord-194157-ak2gc3nz	51	10	the	the	DET
cord-194157-ak2gc3nz	51	11	event	event	NOUN
cord-194157-ak2gc3nz	51	12	z	z	X
cord-194157-ak2gc3nz	51	13	<	<	X
cord-194157-ak2gc3nz	51	14	∞	∞	NUM
cord-194157-ak2gc3nz	51	15	,	,	PUNCT
cord-194157-ak2gc3nz	51	16	then	then	ADV
cord-194157-ak2gc3nz	51	17	the	the	DET
cord-194157-ak2gc3nz	51	18	distribution	distribution	NOUN
cord-194157-ak2gc3nz	51	19	of	of	ADP
cord-194157-ak2gc3nz	51	20	z	z	NOUN
cord-194157-ak2gc3nz	51	21	is	be	AUX
cord-194157-ak2gc3nz	51	22	exponential	exponential	ADJ
cord-194157-ak2gc3nz	51	23	with	with	ADP
cord-194157-ak2gc3nz	51	24	rate	rate	NOUN
cord-194157-ak2gc3nz	51	25	λ	λ	PROPN
cord-194157-ak2gc3nz	51	26	+	+	CCONJ
cord-194157-ak2gc3nz	51	27	µ.	µ.	NOUN
cord-194157-ak2gc3nz	52	1	(	(	PUNCT
cord-194157-ak2gc3nz	52	2	this	this	PRON
cord-194157-ak2gc3nz	52	3	is	be	AUX
cord-194157-ak2gc3nz	52	4	a	a	DET
cord-194157-ak2gc3nz	52	5	consequence	consequence	NOUN
cord-194157-ak2gc3nz	52	6	of	of	ADP
cord-194157-ak2gc3nz	52	7	the	the	DET
cord-194157-ak2gc3nz	52	8	fact	fact	NOUN
cord-194157-ak2gc3nz	52	9	that	that	SCONJ
cord-194157-ak2gc3nz	52	10	the	the	DET
cord-194157-ak2gc3nz	52	11	minimum	minimum	NOUN
cord-194157-ak2gc3nz	52	12	and	and	CCONJ
cord-194157-ak2gc3nz	52	13	minimizer	minimizer	NOUN
cord-194157-ak2gc3nz	52	14	of	of	ADP
cord-194157-ak2gc3nz	52	15	independent	independent	ADJ
cord-194157-ak2gc3nz	52	16	exponential	exponential	ADJ
cord-194157-ak2gc3nz	52	17	random	random	ADJ
cord-194157-ak2gc3nz	52	18	variables	variable	NOUN
cord-194157-ak2gc3nz	52	19	are	be	AUX
cord-194157-ak2gc3nz	52	20	independent	independent	ADJ
cord-194157-ak2gc3nz	52	21	.	.	PUNCT
cord-194157-ak2gc3nz	52	22	)	)	PUNCT
cord-194157-ak2gc3nz	53	1	notice	notice	VERB
cord-194157-ak2gc3nz	53	2	that	that	SCONJ
cord-194157-ak2gc3nz	53	3	if	if	SCONJ
cord-194157-ak2gc3nz	53	4	we	we	PRON
cord-194157-ak2gc3nz	53	5	could	could	AUX
cord-194157-ak2gc3nz	53	6	estimate	estimate	VERB
cord-194157-ak2gc3nz	53	7	then	then	ADV
cord-194157-ak2gc3nz	53	8	we	we	PRON
cord-194157-ak2gc3nz	53	9	could	could	AUX
cord-194157-ak2gc3nz	53	10	recover	recover	VERB
cord-194157-ak2gc3nz	53	11	(	(	PUNCT
cord-194157-ak2gc3nz	53	12	λ	λ	PROPN
cord-194157-ak2gc3nz	53	13	,	,	PUNCT
cord-194157-ak2gc3nz	53	14	µ	µ	PROPN
cord-194157-ak2gc3nz	53	15	)	)	PUNCT
cord-194157-ak2gc3nz	53	16	,	,	PUNCT
cord-194157-ak2gc3nz	53	17	as	as	SCONJ
cord-194157-ak2gc3nz	53	18	desired	desire	VERB
cord-194157-ak2gc3nz	53	19	.	.	PUNCT
cord-194157-ak2gc3nz	54	1	for	for	ADP
cord-194157-ak2gc3nz	54	2	example	example	NOUN
cord-194157-ak2gc3nz	54	3	,	,	PUNCT
cord-194157-ak2gc3nz	54	4	if	if	SCONJ
cord-194157-ak2gc3nz	54	5	we	we	PRON
cord-194157-ak2gc3nz	54	6	had	have	VERB
cord-194157-ak2gc3nz	54	7	access	access	NOUN
cord-194157-ak2gc3nz	54	8	to	to	ADP
cord-194157-ak2gc3nz	54	9	multiple	multiple	ADJ
cord-194157-ak2gc3nz	54	10	independent	independent	ADJ
cord-194157-ak2gc3nz	54	11	draws	draw	NOUN
cord-194157-ak2gc3nz	54	12	of	of	ADP
cord-194157-ak2gc3nz	54	13	the	the	DET
cord-194157-ak2gc3nz	54	14	sir	sir	PROPN
cord-194157-ak2gc3nz	54	15	model	model	NOUN
cord-194157-ak2gc3nz	54	16	on	on	ADP
cord-194157-ak2gc3nz	54	17	k	k	PROPN
cord-194157-ak2gc3nz	54	18	2	2	NUM
cord-194157-ak2gc3nz	54	19	,	,	PUNCT
cord-194157-ak2gc3nz	54	20	then	then	ADV
cord-194157-ak2gc3nz	54	21	we	we	PRON
cord-194157-ak2gc3nz	54	22	could	could	AUX
cord-194157-ak2gc3nz	54	23	obtain	obtain	VERB
cord-194157-ak2gc3nz	54	24	such	such	ADJ
cord-194157-ak2gc3nz	54	25	estimates	estimate	NOUN
cord-194157-ak2gc3nz	54	26	.	.	PUNCT
cord-194157-ak2gc3nz	55	1	for	for	ADP
cord-194157-ak2gc3nz	55	2	certain	certain	ADJ
cord-194157-ak2gc3nz	55	3	types	type	NOUN
cord-194157-ak2gc3nz	55	4	of	of	ADP
cord-194157-ak2gc3nz	55	5	graphs	graph	NOUN
cord-194157-ak2gc3nz	55	6	,	,	PUNCT
cord-194157-ak2gc3nz	55	7	we	we	PRON
cord-194157-ak2gc3nz	55	8	can	can	AUX
cord-194157-ak2gc3nz	55	9	actually	actually	ADV
cord-194157-ak2gc3nz	55	10	simulate	simulate	VERB
cord-194157-ak2gc3nz	55	11	this	this	DET
cord-194157-ak2gc3nz	55	12	setup	setup	NOUN
cord-194157-ak2gc3nz	55	13	,	,	PUNCT
cord-194157-ak2gc3nz	55	14	and	and	CCONJ
cord-194157-ak2gc3nz	55	15	this	this	PRON
cord-194157-ak2gc3nz	55	16	is	be	AUX
cord-194157-ak2gc3nz	55	17	the	the	DET
cord-194157-ak2gc3nz	55	18	main	main	ADJ
cord-194157-ak2gc3nz	55	19	idea	idea	NOUN
cord-194157-ak2gc3nz	55	20	of	of	ADP
cord-194157-ak2gc3nz	55	21	our	our	PRON
cord-194157-ak2gc3nz	55	22	approach	approach	NOUN
cord-194157-ak2gc3nz	55	23	.	.	PUNCT
cord-194157-ak2gc3nz	56	1	in	in	ADP
cord-194157-ak2gc3nz	56	2	practice	practice	NOUN
cord-194157-ak2gc3nz	56	3	,	,	PUNCT
cord-194157-ak2gc3nz	56	4	we	we	PRON
cord-194157-ak2gc3nz	56	5	will	will	AUX
cord-194157-ak2gc3nz	56	6	not	not	PART
cord-194157-ak2gc3nz	56	7	have	have	VERB
cord-194157-ak2gc3nz	56	8	the	the	DET
cord-194157-ak2gc3nz	56	9	time	time	NOUN
cord-194157-ak2gc3nz	56	10	to	to	PART
cord-194157-ak2gc3nz	56	11	determine	determine	VERB
cord-194157-ak2gc3nz	56	12	whether	whether	SCONJ
cord-194157-ak2gc3nz	56	13	z	z	X
cord-194157-ak2gc3nz	56	14	<	<	X
cord-194157-ak2gc3nz	56	15	∞	∞	NUM
cord-194157-ak2gc3nz	56	16	,	,	PUNCT
cord-194157-ak2gc3nz	56	17	and	and	CCONJ
cord-194157-ak2gc3nz	56	18	so	so	ADV
cord-194157-ak2gc3nz	56	19	we	we	PRON
cord-194157-ak2gc3nz	56	20	instead	instead	ADV
cord-194157-ak2gc3nz	56	21	truncate	truncate	VERB
cord-194157-ak2gc3nz	56	22	z	z	PROPN
cord-194157-ak2gc3nz	56	23	←	←	PROPN
cord-194157-ak2gc3nz	56	24	min{z	min{z	PROPN
cord-194157-ak2gc3nz	56	25	,	,	PUNCT
cord-194157-ak2gc3nz	56	26	τ	τ	PROPN
cord-194157-ak2gc3nz	56	27	}	}	PUNCT
cord-194157-ak2gc3nz	56	28	for	for	ADP
cord-194157-ak2gc3nz	56	29	some	some	DET
cord-194157-ak2gc3nz	56	30	threshold	threshold	NOUN
cord-194157-ak2gc3nz	56	31	τ	τ	PROPN
cord-194157-ak2gc3nz	56	32	>	>	PUNCT
cord-194157-ak2gc3nz	56	33	0	0	NUM
cord-194157-ak2gc3nz	56	34	.	.	PUNCT
cord-194157-ak2gc3nz	57	1	in	in	ADP
cord-194157-ak2gc3nz	57	2	particular	particular	ADJ
cord-194157-ak2gc3nz	57	3	,	,	PUNCT
cord-194157-ak2gc3nz	57	4	we	we	PRON
cord-194157-ak2gc3nz	57	5	write	write	VERB
cord-194157-ak2gc3nz	57	6	z	z	NOUN
cord-194157-ak2gc3nz	57	7	∼	∼	PROPN
cord-194157-ak2gc3nz	57	8	ci(λ	ci(λ	ADV
cord-194157-ak2gc3nz	57	9	,	,	PUNCT
cord-194157-ak2gc3nz	57	10	µ	µ	NOUN
cord-194157-ak2gc3nz	57	11	,	,	PUNCT
cord-194157-ak2gc3nz	57	12	τ	τ	NOUN
cord-194157-ak2gc3nz	57	13	)	)	PUNCT
cord-194157-ak2gc3nz	57	14	to	to	PART
cord-194157-ak2gc3nz	57	15	denote	denote	VERB
cord-194157-ak2gc3nz	57	16	a	a	DET
cord-194157-ak2gc3nz	57	17	random	random	ADJ
cord-194157-ak2gc3nz	57	18	variable	variable	NOUN
cord-194157-ak2gc3nz	57	19	with	with	ADP
cord-194157-ak2gc3nz	57	20	distribution	distribution	NOUN
cord-194157-ak2gc3nz	57	21	we	we	PRON
cord-194157-ak2gc3nz	57	22	seek	seek	VERB
cord-194157-ak2gc3nz	57	23	to	to	PART
cord-194157-ak2gc3nz	57	24	estimate	estimate	VERB
cord-194157-ak2gc3nz	57	25	λ	λ	PROPN
cord-194157-ak2gc3nz	57	26	and	and	CCONJ
cord-194157-ak2gc3nz	57	27	µ	µ	NOUN
cord-194157-ak2gc3nz	57	28	given	give	VERB
cord-194157-ak2gc3nz	57	29	τ	τ	NOUN
cord-194157-ak2gc3nz	57	30	and	and	CCONJ
cord-194157-ak2gc3nz	57	31	estimates	estimate	NOUN
cord-194157-ak2gc3nz	57	32	of	of	ADP
cord-194157-ak2gc3nz	57	33	the	the	DET
cord-194157-ak2gc3nz	57	34	following	following	ADJ
cord-194157-ak2gc3nz	57	35	quantities	quantity	NOUN
cord-194157-ak2gc3nz	57	36	:	:	PUNCT
cord-194157-ak2gc3nz	57	37	first	first	ADV
cord-194157-ak2gc3nz	57	38	,	,	PUNCT
cord-194157-ak2gc3nz	57	39	we	we	PRON
cord-194157-ak2gc3nz	57	40	show	show	VERB
cord-194157-ak2gc3nz	57	41	that	that	SCONJ
cord-194157-ak2gc3nz	57	42	good	good	ADJ
cord-194157-ak2gc3nz	57	43	estimates	estimate	NOUN
cord-194157-ak2gc3nz	57	44	of	of	ADP
cord-194157-ak2gc3nz	57	45	p	p	NOUN
cord-194157-ak2gc3nz	57	46	and	and	CCONJ
cord-194157-ak2gc3nz	57	47	q	q	NOUN
cord-194157-ak2gc3nz	57	48	yield	yield	NOUN
cord-194157-ak2gc3nz	57	49	good	good	ADJ
cord-194157-ak2gc3nz	57	50	estimates	estimate	NOUN
cord-194157-ak2gc3nz	57	51	of	of	ADP
cord-194157-ak2gc3nz	57	52	λ	λ	PROPN
cord-194157-ak2gc3nz	57	53	and	and	CCONJ
cord-194157-ak2gc3nz	57	54	µ	µ	NOUN
cord-194157-ak2gc3nz	57	55	:	:	PUNCT
cord-194157-ak2gc3nz	57	56	lemma	lemma	NOUN
cord-194157-ak2gc3nz	57	57	4	4	X
cord-194157-ak2gc3nz	57	58	.	.	PUNCT
cord-194157-ak2gc3nz	57	59	suppose	suppose	VERB
cord-194157-ak2gc3nz	57	60	m	m	PUNCT
cord-194157-ak2gc3nz	57	61	:	:	PUNCT
cord-194157-ak2gc3nz	57	62	=	=	PROPN
cord-194157-ak2gc3nz	57	63	(	(	PUNCT
cord-194157-ak2gc3nz	57	64	λ	λ	PROPN
cord-194157-ak2gc3nz	57	65	+	+	PUNCT
cord-194157-ak2gc3nz	57	66	µ)τ	µ)τ	NOUN
cord-194157-ak2gc3nz	57	67	≥	≥	NOUN
cord-194157-ak2gc3nz	57	68	2	2	NUM
cord-194157-ak2gc3nz	57	69	,	,	PUNCT
cord-194157-ak2gc3nz	57	70	and	and	CCONJ
cord-194157-ak2gc3nz	57	71	take	take	VERB
cord-194157-ak2gc3nz	57	72	p	p	NOUN
cord-194157-ak2gc3nz	57	73	and	and	CCONJ
cord-194157-ak2gc3nz	57	74	q	q	INTJ
cord-194157-ak2gc3nz	57	75	such	such	ADJ
cord-194157-ak2gc3nz	57	76	that	that	SCONJ
cord-194157-ak2gc3nz	57	77	for	for	ADP
cord-194157-ak2gc3nz	57	78	some	some	DET
cord-194157-ak2gc3nz	57	79	>	>	X
cord-194157-ak2gc3nz	57	80	0	0	NUM
cord-194157-ak2gc3nz	57	81	.	.	PUNCT
cord-194157-ak2gc3nz	58	1	then	then	ADV
cord-194157-ak2gc3nz	58	2	proof	proof	NOUN
cord-194157-ak2gc3nz	58	3	.	.	PUNCT
cord-194157-ak2gc3nz	59	1	first	first	ADV
cord-194157-ak2gc3nz	59	2	,	,	PUNCT
cord-194157-ak2gc3nz	59	3	observe	observe	VERB
cord-194157-ak2gc3nz	59	4	that	that	SCONJ
cord-194157-ak2gc3nz	59	5	since	since	SCONJ
cord-194157-ak2gc3nz	59	6	m	m	PRON
cord-194157-ak2gc3nz	59	7	≥	≥	NUM
cord-194157-ak2gc3nz	59	8	2	2	NUM
cord-194157-ak2gc3nz	59	9	,	,	PUNCT
cord-194157-ak2gc3nz	59	10	we	we	PRON
cord-194157-ak2gc3nz	59	11	have	have	VERB
cord-194157-ak2gc3nz	59	12	(	(	PUNCT
cord-194157-ak2gc3nz	59	13	m	m	NOUN
cord-194157-ak2gc3nz	59	14	+	+	ADV
cord-194157-ak2gc3nz	59	15	1)e	1)e	NOUN
cord-194157-ak2gc3nz	59	16	−m	−m	NOUN
cord-194157-ak2gc3nz	59	17	≤	≤	NOUN
cord-194157-ak2gc3nz	59	18	1/2	1/2	NUM
cord-194157-ak2gc3nz	59	19	,	,	PUNCT
cord-194157-ak2gc3nz	59	20	and	and	CCONJ
cord-194157-ak2gc3nz	59	21	so	so	ADV
cord-194157-ak2gc3nz	59	22	thus	thus	ADV
cord-194157-ak2gc3nz	59	23	,	,	PUNCT
cord-194157-ak2gc3nz	59	24	and	and	CCONJ
cord-194157-ak2gc3nz	59	25	similarly	similarly	ADV
cord-194157-ak2gc3nz	59	26	for	for	ADP
cord-194157-ak2gc3nz	59	27	(	(	PUNCT
cord-194157-ak2gc3nz	59	28	1	1	NUM
cord-194157-ak2gc3nz	59	29	−	−	PROPN
cord-194157-ak2gc3nz	59	30	p	p	PROPN
cord-194157-ak2gc3nz	59	31	)	)	PUNCT
cord-194157-ak2gc3nz	59	32	/q	/q	PUNCT
cord-194157-ak2gc3nz	59	33	.	.	PUNCT
cord-194157-ak2gc3nz	60	1	next	next	ADV
cord-194157-ak2gc3nz	60	2	,	,	PUNCT
cord-194157-ak2gc3nz	60	3	we	we	PRON
cord-194157-ak2gc3nz	60	4	produce	produce	VERB
cord-194157-ak2gc3nz	60	5	estimates	estimate	NOUN
cord-194157-ak2gc3nz	60	6	p	p	NOUN
cord-194157-ak2gc3nz	60	7	and	and	CCONJ
cord-194157-ak2gc3nz	60	8	q	q	NOUN
cord-194157-ak2gc3nz	60	9	given	give	VERB
cord-194157-ak2gc3nz	60	10	independent	independent	ADJ
cord-194157-ak2gc3nz	60	11	realizations	realization	NOUN
cord-194157-ak2gc3nz	60	12	of	of	ADP
cord-194157-ak2gc3nz	60	13	z	z	NOUN
cord-194157-ak2gc3nz	60	14	:	:	PUNCT
cord-194157-ak2gc3nz	60	15	proof	proof	NOUN
cord-194157-ak2gc3nz	60	16	.	.	PUNCT
cord-194157-ak2gc3nz	61	1	for	for	ADP
cord-194157-ak2gc3nz	61	2	convenience	convenience	NOUN
cord-194157-ak2gc3nz	61	3	,	,	PUNCT
cord-194157-ak2gc3nz	61	4	we	we	PRON
cord-194157-ak2gc3nz	61	5	put	put	VERB
cord-194157-ak2gc3nz	61	6	k	k	PROPN
cord-194157-ak2gc3nz	61	7	:	:	PUNCT
cord-194157-ak2gc3nz	61	8	=	=	NOUN
cord-194157-ak2gc3nz	61	9	|a|	|a|	VERB
cord-194157-ak2gc3nz	61	10	and	and	CCONJ
cord-194157-ak2gc3nz	61	11	identify	identify	VERB
cord-194157-ak2gc3nz	61	12	a	a	DET
cord-194157-ak2gc3nz	61	13	=	=	NOUN
cord-194157-ak2gc3nz	61	14	[	[	X
cord-194157-ak2gc3nz	61	15	k	k	X
cord-194157-ak2gc3nz	61	16	]	]	X
cord-194157-ak2gc3nz	61	17	.	.	PUNCT
cord-194157-ak2gc3nz	62	1	we	we	PRON
cord-194157-ak2gc3nz	62	2	have	have	VERB
cord-194157-ak2gc3nz	62	3	el	el	PROPN
cord-194157-ak2gc3nz	62	4	i	i	PROPN
cord-194157-ak2gc3nz	62	5	=	=	PROPN
cord-194157-ak2gc3nz	62	6	p	p	PROPN
cord-194157-ak2gc3nz	62	7	,	,	PUNCT
cord-194157-ak2gc3nz	63	1	var	var	NOUN
cord-194157-ak2gc3nz	64	1	l	l	NOUN
cord-194157-ak2gc3nz	65	1	i	i	PROPN
cord-194157-ak2gc3nz	65	2	=	=	X
cord-194157-ak2gc3nz	65	3	p(1	p(1	PROPN
cord-194157-ak2gc3nz	65	4	−	−	PROPN
cord-194157-ak2gc3nz	65	5	p	p	NOUN
cord-194157-ak2gc3nz	65	6	)	)	PUNCT
cord-194157-ak2gc3nz	65	7	,	,	PUNCT
cord-194157-ak2gc3nz	65	8	and	and	CCONJ
cord-194157-ak2gc3nz	65	9	l	l	NOUN
cord-194157-ak2gc3nz	65	10	i	i	INTJ
cord-194157-ak2gc3nz	65	11	∈	∈	NOUN
cord-194157-ak2gc3nz	66	1	[	[	X
cord-194157-ak2gc3nz	66	2	0	0	NUM
cord-194157-ak2gc3nz	66	3	,	,	PUNCT
cord-194157-ak2gc3nz	66	4	1	1	NUM
cord-194157-ak2gc3nz	66	5	]	]	PUNCT
cord-194157-ak2gc3nz	66	6	almost	almost	ADV
cord-194157-ak2gc3nz	66	7	surely	surely	ADV
cord-194157-ak2gc3nz	66	8	.	.	PUNCT
cord-194157-ak2gc3nz	67	1	as	as	ADP
cord-194157-ak2gc3nz	67	2	such	such	ADJ
cord-194157-ak2gc3nz	67	3	,	,	PUNCT
cord-194157-ak2gc3nz	67	4	we	we	PRON
cord-194157-ak2gc3nz	67	5	may	may	AUX
cord-194157-ak2gc3nz	67	6	apply	apply	VERB
cord-194157-ak2gc3nz	67	7	bernstein	bernstein	PROPN
cord-194157-ak2gc3nz	67	8	's	's	PART
cord-194157-ak2gc3nz	67	9	inequality	inequality	NOUN
cord-194157-ak2gc3nz	67	10	for	for	ADP
cord-194157-ak2gc3nz	67	11	bounded	bound	VERB
cord-194157-ak2gc3nz	67	12	random	random	ADJ
cord-194157-ak2gc3nz	67	13	variables	variable	NOUN
cord-194157-ak2gc3nz	67	14	(	(	PUNCT
cord-194157-ak2gc3nz	67	15	see	see	VERB
cord-194157-ak2gc3nz	67	16	theorem	theorem	NOUN
cord-194157-ak2gc3nz	67	17	2.8.4	2.8.4	NUM
cord-194157-ak2gc3nz	67	18	in	in	ADP
cord-194157-ak2gc3nz	67	19	[	[	X
cord-194157-ak2gc3nz	67	20	7	7	NUM
cord-194157-ak2gc3nz	67	21	]	]	PUNCT
cord-194157-ak2gc3nz	67	22	):	):	PUNCT
cord-194157-ak2gc3nz	67	23	put	put	VERB
cord-194157-ak2gc3nz	67	24	δ	δ	PROPN
cord-194157-ak2gc3nz	67	25	=	=	SYM
cord-194157-ak2gc3nz	67	26	1	1	NUM
cord-194157-ak2gc3nz	67	27	−	−	PROPN
cord-194157-ak2gc3nz	67	28	e	e	NOUN
cord-194157-ak2gc3nz	67	29	−	−	PROPN
cord-194157-ak2gc3nz	67	30	.	.	PUNCT
cord-194157-ak2gc3nz	68	1	then	then	ADV
cord-194157-ak2gc3nz	68	2	both	both	PRON
cord-194157-ak2gc3nz	68	3	of	of	ADP
cord-194157-ak2gc3nz	68	4	the	the	DET
cord-194157-ak2gc3nz	68	5	following	follow	VERB
cord-194157-ak2gc3nz	68	6	hold	hold	NOUN
cord-194157-ak2gc3nz	68	7	with	with	ADP
cord-194157-ak2gc3nz	68	8	probability	probability	NOUN
cord-194157-ak2gc3nz	68	9	1	1	NUM
cord-194157-ak2gc3nz	68	10	−	−	NOUN
cord-194157-ak2gc3nz	68	11	2e	2e	PROPN
cord-194157-ak2gc3nz	68	12	−c	−c	ADJ
cord-194157-ak2gc3nz	68	13	kp(1−p	kp(1−p	NOUN
cord-194157-ak2gc3nz	68	14	)	)	PUNCT
cord-194157-ak2gc3nz	68	15	:	:	PUNCT
cord-194157-ak2gc3nz	68	16	note	note	VERB
cord-194157-ak2gc3nz	68	17	that	that	SCONJ
cord-194157-ak2gc3nz	68	18	this	this	PRON
cord-194157-ak2gc3nz	68	19	implies	imply	VERB
cord-194157-ak2gc3nz	68	20	next	next	ADV
cord-194157-ak2gc3nz	68	21	,	,	PUNCT
cord-194157-ak2gc3nz	68	22	we	we	PRON
cord-194157-ak2gc3nz	68	23	estimate	estimate	VERB
cord-194157-ak2gc3nz	68	24	q.	q.	PROPN
cord-194157-ak2gc3nz	68	25	conditioned	condition	VERB
cord-194157-ak2gc3nz	68	26	on	on	ADP
cord-194157-ak2gc3nz	68	27	a	a	PRON
cord-194157-ak2gc3nz	68	28	,	,	PUNCT
cord-194157-ak2gc3nz	68	29	the	the	DET
cord-194157-ak2gc3nz	68	30	random	random	ADJ
cord-194157-ak2gc3nz	68	31	variables	variable	NOUN
cord-194157-ak2gc3nz	68	32	{	{	PUNCT
cord-194157-ak2gc3nz	68	33	z	z	PROPN
cord-194157-ak2gc3nz	68	34	a	a	DET
cord-194157-ak2gc3nz	68	35	}	}	PUNCT
cord-194157-ak2gc3nz	68	36	a∈a	a∈a	PROPN
cord-194157-ak2gc3nz	68	37	are	be	AUX
cord-194157-ak2gc3nz	68	38	all	all	PRON
cord-194157-ak2gc3nz	68	39	distributed	distribute	VERB
cord-194157-ak2gc3nz	68	40	like	like	ADP
cord-194157-ak2gc3nz	68	41	a	a	DET
cord-194157-ak2gc3nz	68	42	τ	τ	PROPN
cord-194157-ak2gc3nz	68	43	-truncated	-truncate	VERB
cord-194157-ak2gc3nz	68	44	version	version	NOUN
cord-194157-ak2gc3nz	68	45	y	y	PROPN
cord-194157-ak2gc3nz	68	46	of	of	ADP
cord-194157-ak2gc3nz	68	47	a	a	DET
cord-194157-ak2gc3nz	68	48	random	random	ADJ
cord-194157-ak2gc3nz	68	49	variable	variable	NOUN
cord-194157-ak2gc3nz	68	50	x	x	PUNCT
cord-194157-ak2gc3nz	68	51	∼	∼	PROPN
cord-194157-ak2gc3nz	68	52	exp(λ	exp(λ	NOUN
cord-194157-ak2gc3nz	68	53	+	+	CCONJ
cord-194157-ak2gc3nz	68	54	µ	µ	NOUN
cord-194157-ak2gc3nz	68	55	)	)	PUNCT
cord-194157-ak2gc3nz	68	56	,	,	PUNCT
cord-194157-ak2gc3nz	68	57	and	and	CCONJ
cord-194157-ak2gc3nz	68	58	there	there	PRON
cord-194157-ak2gc3nz	68	59	exist	exist	VERB
cord-194157-ak2gc3nz	68	60	absolute	absolute	ADJ
cord-194157-ak2gc3nz	68	61	constants	constant	NOUN
cord-194157-ak2gc3nz	68	62	c	c	PROPN
cord-194157-ak2gc3nz	68	63	1	1	NUM
cord-194157-ak2gc3nz	68	64	,	,	PUNCT
cord-194157-ak2gc3nz	68	65	c	c	NOUN
cord-194157-ak2gc3nz	68	66	2	2	NUM
cord-194157-ak2gc3nz	68	67	>	>	SYM
cord-194157-ak2gc3nz	68	68	0	0	NUM
cord-194157-ak2gc3nz	68	69	such	such	ADJ
cord-194157-ak2gc3nz	68	70	that	that	SCONJ
cord-194157-ak2gc3nz	68	71	as	as	ADP
cord-194157-ak2gc3nz	68	72	such	such	ADJ
cord-194157-ak2gc3nz	68	73	,	,	PUNCT
cord-194157-ak2gc3nz	68	74	we	we	PRON
cord-194157-ak2gc3nz	68	75	may	may	AUX
cord-194157-ak2gc3nz	68	76	apply	apply	VERB
cord-194157-ak2gc3nz	68	77	bernstein	bernstein	PROPN
cord-194157-ak2gc3nz	68	78	's	's	PART
cord-194157-ak2gc3nz	68	79	inequality	inequality	NOUN
cord-194157-ak2gc3nz	68	80	for	for	ADP
cord-194157-ak2gc3nz	68	81	subexponential	subexponential	ADJ
cord-194157-ak2gc3nz	68	82	random	random	ADJ
cord-194157-ak2gc3nz	68	83	variables	variable	NOUN
cord-194157-ak2gc3nz	68	84	(	(	PUNCT
cord-194157-ak2gc3nz	68	85	see	see	VERB
cord-194157-ak2gc3nz	68	86	theorem	theorem	NOUN
cord-194157-ak2gc3nz	68	87	2.8.1	2.8.1	NUM
cord-194157-ak2gc3nz	68	88	in	in	ADP
cord-194157-ak2gc3nz	68	89	[	[	X
cord-194157-ak2gc3nz	68	90	7	7	NUM
cord-194157-ak2gc3nz	68	91	]	]	PUNCT
cord-194157-ak2gc3nz	68	92	):	):	PUNCT
cord-194157-ak2gc3nz	68	93	the	the	DET
cord-194157-ak2gc3nz	68	94	result	result	NOUN
cord-194157-ak2gc3nz	68	95	follows	follow	VERB
cord-194157-ak2gc3nz	68	96	from	from	ADP
cord-194157-ak2gc3nz	68	97	the	the	DET
cord-194157-ak2gc3nz	68	98	union	union	NOUN
cord-194157-ak2gc3nz	68	99	bound	bind	VERB
cord-194157-ak2gc3nz	68	100	.	.	PUNCT
cord-194157-ak2gc3nz	69	1	if	if	SCONJ
cord-194157-ak2gc3nz	69	2	we	we	PRON
cord-194157-ak2gc3nz	69	3	had	have	VERB
cord-194157-ak2gc3nz	69	4	access	access	NOUN
cord-194157-ak2gc3nz	69	5	to	to	ADP
cord-194157-ak2gc3nz	69	6	the	the	DET
cord-194157-ak2gc3nz	69	7	infected	infect	VERB
cord-194157-ak2gc3nz	69	8	vertices	vertex	NOUN
cord-194157-ak2gc3nz	69	9	at	at	ADP
cord-194157-ak2gc3nz	69	10	time	time	NOUN
cord-194157-ak2gc3nz	69	11	t	t	NOUN
cord-194157-ak2gc3nz	69	12	0	0	NUM
cord-194157-ak2gc3nz	69	13	,	,	PUNCT
cord-194157-ak2gc3nz	69	14	we	we	PRON
cord-194157-ak2gc3nz	69	15	could	could	AUX
cord-194157-ak2gc3nz	69	16	use	use	VERB
cord-194157-ak2gc3nz	69	17	the	the	DET
cord-194157-ak2gc3nz	69	18	formulas	formula	NOUN
cord-194157-ak2gc3nz	69	19	in	in	ADP
cord-194157-ak2gc3nz	69	20	lemma	lemma	NOUN
cord-194157-ak2gc3nz	69	21	5	5	NUM
cord-194157-ak2gc3nz	69	22	to	to	PART
cord-194157-ak2gc3nz	69	23	obtain	obtain	VERB
cord-194157-ak2gc3nz	69	24	estimators	estimator	NOUN
cord-194157-ak2gc3nz	69	25	of	of	ADP
cord-194157-ak2gc3nz	69	26	the	the	DET
cord-194157-ak2gc3nz	69	27	sir	sir	PROPN
cord-194157-ak2gc3nz	69	28	parameters	parameter	NOUN
cord-194157-ak2gc3nz	69	29	that	that	PRON
cord-194157-ak2gc3nz	69	30	provide	provide	VERB
cord-194157-ak2gc3nz	69	31	a	a	DET
cord-194157-ak2gc3nz	69	32	good	good	ADJ
cord-194157-ak2gc3nz	69	33	approximation	approximation	NOUN
cord-194157-ak2gc3nz	69	34	to	to	ADP
cord-194157-ak2gc3nz	69	35	the	the	DET
cord-194157-ak2gc3nz	69	36	true	true	ADJ
cord-194157-ak2gc3nz	69	37	parameters	parameter	NOUN
cord-194157-ak2gc3nz	69	38	:	:	PUNCT
cord-194157-ak2gc3nz	69	39	lemma	lemma	NOUN
cord-194157-ak2gc3nz	69	40	6	6	X
cord-194157-ak2gc3nz	69	41	.	.	PUNCT
cord-194157-ak2gc3nz	69	42	consider	consider	VERB
cord-194157-ak2gc3nz	69	43	the	the	DET
cord-194157-ak2gc3nz	69	44	sir	sir	PROPN
cord-194157-ak2gc3nz	69	45	model	model	NOUN
cord-194157-ak2gc3nz	69	46	on	on	ADP
cord-194157-ak2gc3nz	69	47	a	a	DET
cord-194157-ak2gc3nz	69	48	graph	graph	NOUN
cord-194157-ak2gc3nz	69	49	g	g	NOUN
cord-194157-ak2gc3nz	69	50	with	with	ADP
cord-194157-ak2gc3nz	69	51	parameters	parameter	NOUN
cord-194157-ak2gc3nz	69	52	λ	λ	PROPN
cord-194157-ak2gc3nz	69	53	and	and	CCONJ
cord-194157-ak2gc3nz	69	54	µ.	µ.	NOUN
cord-194157-ak2gc3nz	69	55	select	select	PROPN
cord-194157-ak2gc3nz	69	56	r	r	PROPN
cord-194157-ak2gc3nz	69	57	,	,	PUNCT
cord-194157-ak2gc3nz	69	58	t	t	NOUN
cord-194157-ak2gc3nz	69	59	0	0	NUM
cord-194157-ak2gc3nz	69	60	,	,	PUNCT
cord-194157-ak2gc3nz	69	61	t	t	NOUN
cord-194157-ak2gc3nz	69	62	1	1	NUM
cord-194157-ak2gc3nz	69	63	>	>	SYM
cord-194157-ak2gc3nz	69	64	0	0	NUM
cord-194157-ak2gc3nz	69	65	and	and	CCONJ
cord-194157-ak2gc3nz	69	66	put	put	VERB
cord-194157-ak2gc3nz	69	67	τ	τ	NOUN
cord-194157-ak2gc3nz	69	68	:	:	PUNCT
cord-194157-ak2gc3nz	69	69	=	=	SYM
cord-194157-ak2gc3nz	69	70	t	t	NOUN
cord-194157-ak2gc3nz	69	71	1	1	NUM
cord-194157-ak2gc3nz	69	72	−	−	PROPN
cord-194157-ak2gc3nz	69	73	t	t	PROPN
cord-194157-ak2gc3nz	69	74	0	0	NUM
cord-194157-ak2gc3nz	69	75	.	.	PUNCT
cord-194157-ak2gc3nz	70	1	let	let	VERB
cord-194157-ak2gc3nz	70	2	b(r	b(r	NOUN
cord-194157-ak2gc3nz	70	3	)	)	PUNCT
cord-194157-ak2gc3nz	70	4	denote	denote	VERB
cord-194157-ak2gc3nz	70	5	the	the	DET
cord-194157-ak2gc3nz	70	6	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	70	7	of	of	ADP
cord-194157-ak2gc3nz	70	8	g	g	NOUN
cord-194157-ak2gc3nz	70	9	induced	induce	VERB
cord-194157-ak2gc3nz	70	10	by	by	ADP
cord-194157-ak2gc3nz	70	11	vertices	vertex	NOUN
cord-194157-ak2gc3nz	70	12	of	of	ADP
cord-194157-ak2gc3nz	70	13	distance	distance	NOUN
cord-194157-ak2gc3nz	70	14	at	at	ADP
cord-194157-ak2gc3nz	70	15	most	most	ADJ
cord-194157-ak2gc3nz	70	16	r	r	NOUN
cord-194157-ak2gc3nz	70	17	from	from	ADP
cord-194157-ak2gc3nz	70	18	u	u	PROPN
cord-194157-ak2gc3nz	70	19	(	(	PUNCT
cord-194157-ak2gc3nz	70	20	0	0	NUM
cord-194157-ak2gc3nz	70	21	)	)	PUNCT
cord-194157-ak2gc3nz	70	22	.	.	PUNCT
cord-194157-ak2gc3nz	71	1	the	the	DET
cord-194157-ak2gc3nz	71	2	set	set	NOUN
cord-194157-ak2gc3nz	71	3	of	of	ADP
cord-194157-ak2gc3nz	71	4	bridges	bridge	NOUN
cord-194157-ak2gc3nz	71	5	in	in	ADP
cord-194157-ak2gc3nz	71	6	b(r	b(r	NOUN
cord-194157-ak2gc3nz	71	7	)	)	PUNCT
cord-194157-ak2gc3nz	71	8	with	with	ADP
cord-194157-ak2gc3nz	71	9	one	one	NUM
cord-194157-ak2gc3nz	71	10	vertex	vertex	NOUN
cord-194157-ak2gc3nz	71	11	in	in	ADP
cord-194157-ak2gc3nz	71	12	i(t	i(t	PROPN
cord-194157-ak2gc3nz	71	13	0	0	NUM
cord-194157-ak2gc3nz	71	14	)	)	PUNCT
cord-194157-ak2gc3nz	71	15	and	and	CCONJ
cord-194157-ak2gc3nz	71	16	another	another	DET
cord-194157-ak2gc3nz	71	17	vertex	vertex	NOUN
cord-194157-ak2gc3nz	71	18	in	in	ADP
cord-194157-ak2gc3nz	71	19	for	for	ADP
cord-194157-ak2gc3nz	71	20	any	any	DET
cord-194157-ak2gc3nz	71	21	fixed	fix	VERB
cord-194157-ak2gc3nz	71	22	k	k	NOUN
cord-194157-ak2gc3nz	71	23	,	,	PUNCT
cord-194157-ak2gc3nz	71	24	>	>	X
cord-194157-ak2gc3nz	71	25	0	0	NUM
cord-194157-ak2gc3nz	71	26	,	,	PUNCT
cord-194157-ak2gc3nz	71	27	define	define	VERB
cord-194157-ak2gc3nz	71	28	the	the	DET
cord-194157-ak2gc3nz	71	29	events	event	NOUN
cord-194157-ak2gc3nz	71	30	proof	proof	NOUN
cord-194157-ak2gc3nz	71	31	.	.	PUNCT
cord-194157-ak2gc3nz	72	1	let	let	VERB
cord-194157-ak2gc3nz	72	2	s	s	PRON
cord-194157-ak2gc3nz	72	3	denote	denote	VERB
cord-194157-ak2gc3nz	72	4	the	the	DET
cord-194157-ak2gc3nz	72	5	vertices	vertex	NOUN
cord-194157-ak2gc3nz	72	6	in	in	ADP
cord-194157-ak2gc3nz	72	7	g	g	NOUN
cord-194157-ak2gc3nz	72	8	of	of	ADP
cord-194157-ak2gc3nz	72	9	distance	distance	NOUN
cord-194157-ak2gc3nz	72	10	exactly	exactly	ADV
cord-194157-ak2gc3nz	72	11	r	r	NOUN
cord-194157-ak2gc3nz	72	12	from	from	ADP
cord-194157-ak2gc3nz	72	13	u	u	PROPN
cord-194157-ak2gc3nz	72	14	(	(	PUNCT
cord-194157-ak2gc3nz	72	15	0	0	NUM
cord-194157-ak2gc3nz	72	16	)	)	PUNCT
cord-194157-ak2gc3nz	72	17	.	.	PUNCT
cord-194157-ak2gc3nz	73	1	notice	notice	VERB
cord-194157-ak2gc3nz	73	2	that	that	SCONJ
cord-194157-ak2gc3nz	73	3	for	for	ADP
cord-194157-ak2gc3nz	73	4	every	every	DET
cord-194157-ak2gc3nz	73	5	vertex	vertex	NOUN
cord-194157-ak2gc3nz	73	6	v	v	ADP
cord-194157-ak2gc3nz	73	7	∈	∈	NOUN
cord-194157-ak2gc3nz	73	8	v	v	NOUN
cord-194157-ak2gc3nz	73	9	(	(	PUNCT
cord-194157-ak2gc3nz	73	10	b(r	b(r	NOUN
cord-194157-ak2gc3nz	73	11	)	)	PUNCT
cord-194157-ak2gc3nz	73	12	)	)	PUNCT
cord-194157-ak2gc3nz	73	13	\	\	PROPN
cord-194157-ak2gc3nz	73	14	s	s	PROPN
cord-194157-ak2gc3nz	73	15	,	,	PUNCT
cord-194157-ak2gc3nz	73	16	the	the	DET
cord-194157-ak2gc3nz	73	17	edges	edge	NOUN
cord-194157-ak2gc3nz	73	18	incident	incident	NOUN
cord-194157-ak2gc3nz	73	19	to	to	ADP
cord-194157-ak2gc3nz	73	20	v	v	NOUN
cord-194157-ak2gc3nz	73	21	in	in	ADP
cord-194157-ak2gc3nz	73	22	b(r	b(r	NOUN
cord-194157-ak2gc3nz	73	23	)	)	PUNCT
cord-194157-ak2gc3nz	73	24	are	be	AUX
cord-194157-ak2gc3nz	73	25	precisely	precisely	ADV
cord-194157-ak2gc3nz	73	26	the	the	DET
cord-194157-ak2gc3nz	73	27	edges	edge	NOUN
cord-194157-ak2gc3nz	73	28	incident	incident	NOUN
cord-194157-ak2gc3nz	73	29	to	to	ADP
cord-194157-ak2gc3nz	73	30	v	v	NOUN
cord-194157-ak2gc3nz	73	31	in	in	ADP
cord-194157-ak2gc3nz	73	32	g.	g.	PROPN
cord-194157-ak2gc3nz	73	33	as	as	ADP
cord-194157-ak2gc3nz	73	34	such	such	ADJ
cord-194157-ak2gc3nz	73	35	,	,	PUNCT
cord-194157-ak2gc3nz	73	36	the	the	DET
cord-194157-ak2gc3nz	73	37	sir	sir	PROPN
cord-194157-ak2gc3nz	73	38	processes	process	VERB
cord-194157-ak2gc3nz	73	39	on	on	ADP
cord-194157-ak2gc3nz	73	40	g	g	NOUN
cord-194157-ak2gc3nz	73	41	and	and	CCONJ
cord-194157-ak2gc3nz	73	42	on	on	ADP
cord-194157-ak2gc3nz	73	43	b(r	b(r	NOUN
cord-194157-ak2gc3nz	73	44	)	)	PUNCT
cord-194157-ak2gc3nz	73	45	are	be	AUX
cord-194157-ak2gc3nz	73	46	identical	identical	ADJ
cord-194157-ak2gc3nz	73	47	until	until	SCONJ
cord-194157-ak2gc3nz	73	48	the	the	DET
cord-194157-ak2gc3nz	73	49	stopping	stopping	NOUN
cord-194157-ak2gc3nz	73	50	time	time	NOUN
cord-194157-ak2gc3nz	73	51	let	let	VERB
cord-194157-ak2gc3nz	73	52	b(r	b(r	NOUN
cord-194157-ak2gc3nz	73	53	)	)	PUNCT
cord-194157-ak2gc3nz	73	54	denote	denote	VERB
cord-194157-ak2gc3nz	73	55	the	the	DET
cord-194157-ak2gc3nz	73	56	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	73	57	of	of	ADP
cord-194157-ak2gc3nz	73	58	g	g	NOUN
cord-194157-ak2gc3nz	73	59	induced	induce	VERB
cord-194157-ak2gc3nz	73	60	by	by	ADP
cord-194157-ak2gc3nz	73	61	vertices	vertex	NOUN
cord-194157-ak2gc3nz	73	62	of	of	ADP
cord-194157-ak2gc3nz	73	63	distance	distance	NOUN
cord-194157-ak2gc3nz	73	64	at	at	ADP
cord-194157-ak2gc3nz	73	65	most	most	ADJ
cord-194157-ak2gc3nz	73	66	r	r	NOUN
cord-194157-ak2gc3nz	73	67	from	from	ADP
cord-194157-ak2gc3nz	73	68	the	the	DET
cord-194157-ak2gc3nz	73	69	minimizer	minimizer	NOUN
cord-194157-ak2gc3nz	73	70	of	of	ADP
cord-194157-ak2gc3nz	73	71	t	t	NOUN
cord-194157-ak2gc3nz	73	72	.	.	PUNCT
cord-194157-ak2gc3nz	74	1	for	for	ADP
cord-194157-ak2gc3nz	74	2	each	each	DET
cord-194157-ak2gc3nz	74	3	quantity	quantity	NOUN
cord-194157-ak2gc3nz	74	4	t	t	NOUN
cord-194157-ak2gc3nz	74	5	(	(	PUNCT
cord-194157-ak2gc3nz	74	6	v	v	NOUN
cord-194157-ak2gc3nz	74	7	)	)	PUNCT
cord-194157-ak2gc3nz	74	8	,	,	PUNCT
cord-194157-ak2gc3nz	74	9	z	z	NOUN
cord-194157-ak2gc3nz	74	10	a	a	DET
cord-194157-ak2gc3nz	74	11	,	,	PUNCT
cord-194157-ak2gc3nz	74	12	a	a	DET
cord-194157-ak2gc3nz	74	13	i	i	NOUN
cord-194157-ak2gc3nz	74	14	,	,	PUNCT
cord-194157-ak2gc3nz	74	15	a	a	DET
cord-194157-ak2gc3nz	74	16	i	i	NOUN
cord-194157-ak2gc3nz	74	17	,	,	PUNCT
cord-194157-ak2gc3nz	74	18	b	b	PROPN
cord-194157-ak2gc3nz	74	19	a	a	PRON
cord-194157-ak2gc3nz	74	20	,	,	PUNCT
cord-194157-ak2gc3nz	74	21	b(a	b(a	ADJ
cord-194157-ak2gc3nz	74	22	)	)	PUNCT
cord-194157-ak2gc3nz	74	23	,	,	PUNCT
cord-194157-ak2gc3nz	74	24	p	p	PROPN
cord-194157-ak2gc3nz	74	25	,	,	PUNCT
cord-194157-ak2gc3nz	74	26	q	q	PROPN
cord-194157-ak2gc3nz	74	27	,	,	PUNCT
cord-194157-ak2gc3nz	74	28	λ	λ	PROPN
cord-194157-ak2gc3nz	75	1	i	i	INTJ
cord-194157-ak2gc3nz	75	2	,	,	PUNCT
cord-194157-ak2gc3nz	75	3	μ	μ	NOUN
cord-194157-ak2gc3nz	75	4	i	i	PRON
cord-194157-ak2gc3nz	75	5	defined	define	VERB
cord-194157-ak2gc3nz	75	6	in	in	ADP
cord-194157-ak2gc3nz	75	7	the	the	DET
cord-194157-ak2gc3nz	75	8	statement	statement	NOUN
cord-194157-ak2gc3nz	75	9	of	of	ADP
cord-194157-ak2gc3nz	75	10	the	the	DET
cord-194157-ak2gc3nz	75	11	lemma	lemma	NOUN
cord-194157-ak2gc3nz	75	12	,	,	PUNCT
cord-194157-ak2gc3nz	75	13	there	there	PRON
cord-194157-ak2gc3nz	75	14	is	be	VERB
cord-194157-ak2gc3nz	75	15	a	a	DET
cord-194157-ak2gc3nz	75	16	corresponding	correspond	VERB
cord-194157-ak2gc3nz	75	17	quantity	quantity	NOUN
cord-194157-ak2gc3nz	75	18	defined	define	VERB
cord-194157-ak2gc3nz	75	19	by	by	ADP
cord-194157-ak2gc3nz	75	20	replacing	replace	VERB
cord-194157-ak2gc3nz	75	21	the	the	DET
cord-194157-ak2gc3nz	75	22	sir	sir	PROPN
cord-194157-ak2gc3nz	75	23	process	process	NOUN
cord-194157-ak2gc3nz	75	24	on	on	ADP
cord-194157-ak2gc3nz	75	25	g	g	NOUN
cord-194157-ak2gc3nz	75	26	with	with	ADP
cord-194157-ak2gc3nz	75	27	the	the	DET
cord-194157-ak2gc3nz	75	28	sir	sir	PROPN
cord-194157-ak2gc3nz	75	29	process	process	NOUN
cord-194157-ak2gc3nz	75	30	on	on	ADP
cord-194157-ak2gc3nz	75	31	b(r	b(r	PROPN
cord-194157-ak2gc3nz	75	32	)	)	PUNCT
cord-194157-ak2gc3nz	75	33	,	,	PUNCT
cord-194157-ak2gc3nz	75	34	and	and	CCONJ
cord-194157-ak2gc3nz	75	35	we	we	PRON
cord-194157-ak2gc3nz	75	36	denote	denote	VERB
cord-194157-ak2gc3nz	75	37	these	these	DET
cord-194157-ak2gc3nz	75	38	variables	variable	NOUN
cord-194157-ak2gc3nz	75	39	byt	byt	X
cord-194157-ak2gc3nz	75	40	(	(	PUNCT
cord-194157-ak2gc3nz	75	41	v),z	v),z	PROPN
cord-194157-ak2gc3nz	75	42	a	a	PROPN
cord-194157-ak2gc3nz	75	43	,	,	PUNCT
cord-194157-ak2gc3nz	75	44	ã	ã	X
cord-194157-ak2gc3nz	75	45	,	,	PUNCT
cord-194157-ak2gc3nz	75	46	ã	ã	INTJ
cord-194157-ak2gc3nz	75	47	,	,	PUNCT
cord-194157-ak2gc3nz	75	48	b	b	PROPN
cord-194157-ak2gc3nz	75	49	a	a	PRON
cord-194157-ak2gc3nz	75	50	,	,	PUNCT
cord-194157-ak2gc3nz	75	51	b(a),p	b(a),p	ADJ
cord-194157-ak2gc3nz	75	52	,	,	PUNCT
cord-194157-ak2gc3nz	75	53	q	q	PROPN
cord-194157-ak2gc3nz	75	54	,	,	PUNCT
cord-194157-ak2gc3nz	75	55	λ	λ	PROPN
cord-194157-ak2gc3nz	75	56	,	,	PUNCT
cord-194157-ak2gc3nz	75	57	μ	μ	NOUN
cord-194157-ak2gc3nz	75	58	.	.	PUNCT
cord-194157-ak2gc3nz	76	1	each	each	PRON
cord-194157-ak2gc3nz	76	2	of	of	ADP
cord-194157-ak2gc3nz	76	3	these	these	DET
cord-194157-ak2gc3nz	76	4	variables	variable	NOUN
cord-194157-ak2gc3nz	76	5	equals	equal	VERB
cord-194157-ak2gc3nz	76	6	its	its	PRON
cord-194157-ak2gc3nz	76	7	counterpart	counterpart	NOUN
cord-194157-ak2gc3nz	76	8	over	over	ADP
cord-194157-ak2gc3nz	76	9	the	the	DET
cord-194157-ak2gc3nz	76	10	event	event	NOUN
cord-194157-ak2gc3nz	76	11	it	it	PRON
cord-194157-ak2gc3nz	76	12	remains	remain	VERB
cord-194157-ak2gc3nz	76	13	to	to	ADP
cord-194157-ak2gc3nz	76	14	bound	bind	VERB
cord-194157-ak2gc3nz	76	15	p(f|e	p(f|e	PROPN
cord-194157-ak2gc3nz	76	16	2	2	NUM
cord-194157-ak2gc3nz	76	17	)	)	PUNCT
cord-194157-ak2gc3nz	76	18	.	.	PUNCT
cord-194157-ak2gc3nz	77	1	conditioned	condition	VERB
cord-194157-ak2gc3nz	77	2	onã	onã	NOUN
cord-194157-ak2gc3nz	77	3	and	and	CCONJ
cord-194157-ak2gc3nz	77	4	{	{	PUNCT
cord-194157-ak2gc3nz	77	5	b(a	b(a	PROPN
cord-194157-ak2gc3nz	77	6	)	)	PUNCT
cord-194157-ak2gc3nz	77	7	}	}	PUNCT
cord-194157-ak2gc3nz	77	8	a∈ã	a∈ã	INTJ
cord-194157-ak2gc3nz	77	9	,	,	PUNCT
cord-194157-ak2gc3nz	77	10	then	then	ADV
cord-194157-ak2gc3nz	77	11	for	for	ADP
cord-194157-ak2gc3nz	77	12	each	each	DET
cord-194157-ak2gc3nz	77	13	a	a	DET
cord-194157-ak2gc3nz	77	14	∈ã	∈ã	PROPN
cord-194157-ak2gc3nz	77	15	,	,	PUNCT
cord-194157-ak2gc3nz	77	16	the	the	DET
cord-194157-ak2gc3nz	77	17	markov	markov	NOUN
cord-194157-ak2gc3nz	77	18	property	property	NOUN
cord-194157-ak2gc3nz	77	19	implies	imply	VERB
cord-194157-ak2gc3nz	77	20	thatz	thatz	PROPN
cord-194157-ak2gc3nz	77	21	a	a	PRON
cord-194157-ak2gc3nz	77	22	has	have	VERB
cord-194157-ak2gc3nz	77	23	distribution	distribution	NOUN
cord-194157-ak2gc3nz	77	24	ci(λ	ci(λ	ADV
cord-194157-ak2gc3nz	77	25	,	,	PUNCT
cord-194157-ak2gc3nz	77	26	µ	µ	NOUN
cord-194157-ak2gc3nz	77	27	,	,	PUNCT
cord-194157-ak2gc3nz	77	28	τ	τ	PROPN
cord-194157-ak2gc3nz	77	29	)	)	PUNCT
cord-194157-ak2gc3nz	77	30	.	.	PUNCT
cord-194157-ak2gc3nz	78	1	also	also	ADV
cord-194157-ak2gc3nz	78	2	,	,	PUNCT
cord-194157-ak2gc3nz	78	3	the	the	DET
cord-194157-ak2gc3nz	78	4	vertices	vertex	NOUN
cord-194157-ak2gc3nz	78	5	{	{	PUNCT
cord-194157-ak2gc3nz	78	6	b(a	b(a	PROPN
cord-194157-ak2gc3nz	78	7	)	)	PUNCT
cord-194157-ak2gc3nz	78	8	}	}	PUNCT
cord-194157-ak2gc3nz	78	9	a∈ã	a∈ã	NOUN
cord-194157-ak2gc3nz	78	10	are	be	AUX
cord-194157-ak2gc3nz	78	11	pairwise	pairwise	ADV
cord-194157-ak2gc3nz	78	12	distinct	distinct	ADJ
cord-194157-ak2gc3nz	78	13	almost	almost	ADV
cord-194157-ak2gc3nz	78	14	surely	surely	ADV
cord-194157-ak2gc3nz	78	15	.	.	PUNCT
cord-194157-ak2gc3nz	79	1	indeed	indeed	ADV
cord-194157-ak2gc3nz	79	2	,	,	PUNCT
cord-194157-ak2gc3nz	79	3	ifb(a	ifb(a	PROPN
cord-194157-ak2gc3nz	79	4	)	)	PUNCT
cord-194157-ak2gc3nz	79	5	=	=	NOUN
cord-194157-ak2gc3nz	79	6	b(a	b(a	ADJ
cord-194157-ak2gc3nz	79	7	)	)	PUNCT
cord-194157-ak2gc3nz	79	8	,	,	PUNCT
cord-194157-ak2gc3nz	79	9	then	then	ADV
cord-194157-ak2gc3nz	79	10	if	if	SCONJ
cord-194157-ak2gc3nz	79	11	we	we	PRON
cord-194157-ak2gc3nz	79	12	delete	delete	VERB
cord-194157-ak2gc3nz	79	13	the	the	DET
cord-194157-ak2gc3nz	79	14	edge	edge	NOUN
cord-194157-ak2gc3nz	79	15	{	{	PUNCT
cord-194157-ak2gc3nz	79	16	a	a	DET
cord-194157-ak2gc3nz	79	17	,	,	PUNCT
cord-194157-ak2gc3nz	79	18	b(a	b(a	ADJ
cord-194157-ak2gc3nz	79	19	)	)	PUNCT
cord-194157-ak2gc3nz	79	20	}	}	PUNCT
cord-194157-ak2gc3nz	79	21	,	,	PUNCT
cord-194157-ak2gc3nz	79	22	we	we	PRON
cord-194157-ak2gc3nz	79	23	can	can	AUX
cord-194157-ak2gc3nz	79	24	still	still	ADV
cord-194157-ak2gc3nz	79	25	traverse	traverse	VERB
cord-194157-ak2gc3nz	79	26	a	a	DET
cord-194157-ak2gc3nz	79	27	walk	walk	NOUN
cord-194157-ak2gc3nz	79	28	from	from	ADP
cord-194157-ak2gc3nz	79	29	a	a	PRON
cord-194157-ak2gc3nz	79	30	to	to	ADP
cord-194157-ak2gc3nz	79	31	u	u	PROPN
cord-194157-ak2gc3nz	79	32	(	(	PUNCT
cord-194157-ak2gc3nz	79	33	0	0	NUM
cord-194157-ak2gc3nz	79	34	)	)	PUNCT
cord-194157-ak2gc3nz	79	35	to	to	ADP
cord-194157-ak2gc3nz	79	36	a	a	DET
cord-194157-ak2gc3nz	79	37	tob(a	tob(a	PROPN
cord-194157-ak2gc3nz	79	38	)	)	PUNCT
cord-194157-ak2gc3nz	79	39	=	=	NOUN
cord-194157-ak2gc3nz	79	40	b(a	b(a	ADJ
cord-194157-ak2gc3nz	79	41	)	)	PUNCT
cord-194157-ak2gc3nz	79	42	,	,	PUNCT
cord-194157-ak2gc3nz	79	43	implying	imply	VERB
cord-194157-ak2gc3nz	79	44	{	{	PUNCT
cord-194157-ak2gc3nz	79	45	a	a	PRON
cord-194157-ak2gc3nz	79	46	,	,	PUNCT
cord-194157-ak2gc3nz	79	47	b(a	b(a	ADJ
cord-194157-ak2gc3nz	79	48	)	)	PUNCT
cord-194157-ak2gc3nz	79	49	}	}	PUNCT
cord-194157-ak2gc3nz	79	50	was	be	AUX
cord-194157-ak2gc3nz	79	51	not	not	PART
cord-194157-ak2gc3nz	79	52	a	a	DET
cord-194157-ak2gc3nz	79	53	bridge	bridge	NOUN
cord-194157-ak2gc3nz	79	54	.	.	PUNCT
cord-194157-ak2gc3nz	80	1	as	as	ADP
cord-194157-ak2gc3nz	80	2	such	such	ADJ
cord-194157-ak2gc3nz	80	3	,	,	PUNCT
cord-194157-ak2gc3nz	80	4	conditioned	condition	VERB
cord-194157-ak2gc3nz	80	5	onã	onã	NOUN
cord-194157-ak2gc3nz	80	6	and	and	CCONJ
cord-194157-ak2gc3nz	80	7	{	{	PUNCT
cord-194157-ak2gc3nz	80	8	b(a	b(a	PROPN
cord-194157-ak2gc3nz	80	9	)	)	PUNCT
cord-194157-ak2gc3nz	80	10	}	}	PUNCT
cord-194157-ak2gc3nz	80	11	a∈ã	a∈ã	NOUN
cord-194157-ak2gc3nz	80	12	,	,	PUNCT
cord-194157-ak2gc3nz	80	13	the	the	DET
cord-194157-ak2gc3nz	80	14	variables	variable	NOUN
cord-194157-ak2gc3nz	80	15	{	{	PUNCT
cord-194157-ak2gc3nz	80	16	z	z	NOUN
cord-194157-ak2gc3nz	80	17	a	a	DET
cord-194157-ak2gc3nz	80	18	}	}	PUNCT
cord-194157-ak2gc3nz	80	19	a∈ã	a∈ã	NOUN
cord-194157-ak2gc3nz	80	20	are	be	AUX
cord-194157-ak2gc3nz	80	21	jointly	jointly	ADV
cord-194157-ak2gc3nz	80	22	independent	independent	ADJ
cord-194157-ak2gc3nz	80	23	.	.	PUNCT
cord-194157-ak2gc3nz	81	1	then	then	ADV
cord-194157-ak2gc3nz	81	2	lemmas	lemma	VERB
cord-194157-ak2gc3nz	81	3	4	4	NUM
cord-194157-ak2gc3nz	81	4	and	and	CCONJ
cord-194157-ak2gc3nz	81	5	5	5	NUM
cord-194157-ak2gc3nz	81	6	together	together	ADV
cord-194157-ak2gc3nz	81	7	imply	imply	NOUN
cord-194157-ak2gc3nz	81	8	of	of	ADP
cord-194157-ak2gc3nz	81	9	course	course	NOUN
cord-194157-ak2gc3nz	81	10	,	,	PUNCT
cord-194157-ak2gc3nz	81	11	in	in	ADP
cord-194157-ak2gc3nz	81	12	our	our	PRON
cord-194157-ak2gc3nz	81	13	setup	setup	NOUN
cord-194157-ak2gc3nz	81	14	,	,	PUNCT
cord-194157-ak2gc3nz	81	15	we	we	PRON
cord-194157-ak2gc3nz	81	16	do	do	AUX
cord-194157-ak2gc3nz	81	17	not	not	PART
cord-194157-ak2gc3nz	81	18	have	have	VERB
cord-194157-ak2gc3nz	81	19	access	access	NOUN
cord-194157-ak2gc3nz	81	20	to	to	ADP
cord-194157-ak2gc3nz	81	21	i(t	i(t	PROPN
cord-194157-ak2gc3nz	81	22	0	0	NUM
cord-194157-ak2gc3nz	81	23	)	)	PUNCT
cord-194157-ak2gc3nz	81	24	,	,	PUNCT
cord-194157-ak2gc3nz	81	25	but	but	CCONJ
cord-194157-ak2gc3nz	81	26	rather	rather	ADV
cord-194157-ak2gc3nz	81	27	u	u	PROPN
cord-194157-ak2gc3nz	81	28	(	(	PUNCT
cord-194157-ak2gc3nz	81	29	t	t	NOUN
cord-194157-ak2gc3nz	81	30	0	0	NUM
cord-194157-ak2gc3nz	81	31	)	)	PUNCT
cord-194157-ak2gc3nz	82	1	=	=	SYM
cord-194157-ak2gc3nz	82	2	i(t	i(t	PROPN
cord-194157-ak2gc3nz	82	3	0	0	NUM
cord-194157-ak2gc3nz	82	4	)	)	PUNCT
cord-194157-ak2gc3nz	83	1	∪	∪	ADP
cord-194157-ak2gc3nz	83	2	r(t	r(t	NOUN
cord-194157-ak2gc3nz	83	3	0	0	NUM
cord-194157-ak2gc3nz	83	4	)	)	PUNCT
cord-194157-ak2gc3nz	83	5	,	,	PUNCT
cord-194157-ak2gc3nz	83	6	and	and	CCONJ
cord-194157-ak2gc3nz	83	7	so	so	ADV
cord-194157-ak2gc3nz	83	8	we	we	PRON
cord-194157-ak2gc3nz	83	9	can	can	AUX
cord-194157-ak2gc3nz	83	10	not	not	PART
cord-194157-ak2gc3nz	83	11	apply	apply	VERB
cord-194157-ak2gc3nz	83	12	lemma	lemma	NOUN
cord-194157-ak2gc3nz	83	13	6	6	NUM
cord-194157-ak2gc3nz	83	14	directly	directly	ADV
cord-194157-ak2gc3nz	83	15	.	.	PUNCT
cord-194157-ak2gc3nz	84	1	instead	instead	ADV
cord-194157-ak2gc3nz	84	2	,	,	PUNCT
cord-194157-ak2gc3nz	84	3	we	we	PRON
cord-194157-ak2gc3nz	84	4	assume	assume	VERB
cord-194157-ak2gc3nz	84	5	that	that	SCONJ
cord-194157-ak2gc3nz	84	6	λ	λ	PROPN
cord-194157-ak2gc3nz	84	7	is	be	AUX
cord-194157-ak2gc3nz	84	8	sufficiently	sufficiently	ADV
cord-194157-ak2gc3nz	84	9	large	large	ADJ
cord-194157-ak2gc3nz	84	10	compared	compare	VERB
cord-194157-ak2gc3nz	84	11	to	to	ADP
cord-194157-ak2gc3nz	84	12	µ	µ	NOUN
cord-194157-ak2gc3nz	84	13	that	that	SCONJ
cord-194157-ak2gc3nz	84	14	u	u	PROPN
cord-194157-ak2gc3nz	84	15	(	(	PUNCT
cord-194157-ak2gc3nz	84	16	t	t	NOUN
cord-194157-ak2gc3nz	84	17	0	0	NUM
cord-194157-ak2gc3nz	84	18	)	)	PUNCT
cord-194157-ak2gc3nz	84	19	is	be	AUX
cord-194157-ak2gc3nz	84	20	a	a	DET
cord-194157-ak2gc3nz	84	21	decent	decent	ADJ
cord-194157-ak2gc3nz	84	22	approximation	approximation	NOUN
cord-194157-ak2gc3nz	84	23	of	of	ADP
cord-194157-ak2gc3nz	84	24	i(t	i(t	PROPN
cord-194157-ak2gc3nz	84	25	0	0	NUM
cord-194157-ak2gc3nz	84	26	)	)	PUNCT
cord-194157-ak2gc3nz	84	27	.	.	PUNCT
cord-194157-ak2gc3nz	85	1	this	this	DET
cord-194157-ak2gc3nz	85	2	approach	approach	NOUN
cord-194157-ak2gc3nz	85	3	is	be	AUX
cord-194157-ak2gc3nz	85	4	summarized	summarize	VERB
cord-194157-ak2gc3nz	85	5	in	in	ADP
cord-194157-ak2gc3nz	85	6	algorithm	algorithm	PROPN
cord-194157-ak2gc3nz	85	7	1	1	NUM
cord-194157-ak2gc3nz	85	8	.	.	PUNCT
cord-194157-ak2gc3nz	86	1	as	as	SCONJ
cord-194157-ak2gc3nz	86	2	we	we	PRON
cord-194157-ak2gc3nz	86	3	will	will	AUX
cord-194157-ak2gc3nz	86	4	see	see	VERB
cord-194157-ak2gc3nz	86	5	,	,	PUNCT
cord-194157-ak2gc3nz	86	6	the	the	DET
cord-194157-ak2gc3nz	86	7	approximation	approximation	NOUN
cord-194157-ak2gc3nz	86	8	i(t	i(t	PROPN
cord-194157-ak2gc3nz	86	9	0	0	NUM
cord-194157-ak2gc3nz	86	10	)	)	PUNCT
cord-194157-ak2gc3nz	87	1	≈	≈	PROPN
cord-194157-ak2gc3nz	87	2	u	u	PROPN
cord-194157-ak2gc3nz	87	3	(	(	PUNCT
cord-194157-ak2gc3nz	87	4	t	t	NOUN
cord-194157-ak2gc3nz	87	5	0	0	NUM
cord-194157-ak2gc3nz	87	6	)	)	PUNCT
cord-194157-ak2gc3nz	87	7	introduces	introduce	VERB
cord-194157-ak2gc3nz	87	8	some	some	DET
cord-194157-ak2gc3nz	87	9	error	error	NOUN
cord-194157-ak2gc3nz	87	10	in	in	ADP
cord-194157-ak2gc3nz	87	11	our	our	PRON
cord-194157-ak2gc3nz	87	12	estimators	estimator	NOUN
cord-194157-ak2gc3nz	87	13	.	.	PUNCT
cord-194157-ak2gc3nz	88	1	to	to	PART
cord-194157-ak2gc3nz	88	2	analyze	analyze	VERB
cord-194157-ak2gc3nz	88	3	the	the	DET
cord-194157-ak2gc3nz	88	4	performance	performance	NOUN
cord-194157-ak2gc3nz	88	5	of	of	ADP
cord-194157-ak2gc3nz	88	6	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	88	7	1	1	NUM
cord-194157-ak2gc3nz	88	8	,	,	PUNCT
cord-194157-ak2gc3nz	88	9	it	it	PRON
cord-194157-ak2gc3nz	88	10	is	be	AUX
cord-194157-ak2gc3nz	88	11	convenient	convenient	ADJ
cord-194157-ak2gc3nz	88	12	to	to	PART
cord-194157-ak2gc3nz	88	13	focus	focus	VERB
cord-194157-ak2gc3nz	88	14	on	on	ADP
cord-194157-ak2gc3nz	88	15	a	a	DET
cord-194157-ak2gc3nz	88	16	certain	certain	ADJ
cord-194157-ak2gc3nz	88	17	(	(	PUNCT
cord-194157-ak2gc3nz	88	18	large	large	ADJ
cord-194157-ak2gc3nz	88	19	)	)	PUNCT
cord-194157-ak2gc3nz	88	20	family	family	NOUN
cord-194157-ak2gc3nz	88	21	of	of	ADP
cord-194157-ak2gc3nz	88	22	graphs	graph	NOUN
cord-194157-ak2gc3nz	88	23	.	.	PUNCT
cord-194157-ak2gc3nz	89	1	we	we	PRON
cord-194157-ak2gc3nz	89	2	say	say	VERB
cord-194157-ak2gc3nz	89	3	a	a	DET
cord-194157-ak2gc3nz	89	4	graph	graph	NOUN
cord-194157-ak2gc3nz	89	5	g	g	NOUN
cord-194157-ak2gc3nz	89	6	is	be	AUX
cord-194157-ak2gc3nz	89	7	(	(	PUNCT
cord-194157-ak2gc3nz	89	8	r	r	NOUN
cord-194157-ak2gc3nz	89	9	,	,	PUNCT
cord-194157-ak2gc3nz	89	10	η)-locally	η)-locally	ADV
cord-194157-ak2gc3nz	89	11	tree	tree	NOUN
cord-194157-ak2gc3nz	89	12	-	-	PUNCT
cord-194157-ak2gc3nz	89	13	like	like	ADJ
cord-194157-ak2gc3nz	89	14	if	if	SCONJ
cord-194157-ak2gc3nz	89	15	for	for	ADP
cord-194157-ak2gc3nz	89	16	a	a	DET
cord-194157-ak2gc3nz	89	17	fraction	fraction	NOUN
cord-194157-ak2gc3nz	89	18	1	1	NUM
cord-194157-ak2gc3nz	89	19	−	−	SYM
cord-194157-ak2gc3nz	89	20	η	η	NOUN
cord-194157-ak2gc3nz	89	21	of	of	ADP
cord-194157-ak2gc3nz	89	22	the	the	DET
cord-194157-ak2gc3nz	89	23	vertices	vertex	NOUN
cord-194157-ak2gc3nz	89	24	v	v	NOUN
cord-194157-ak2gc3nz	89	25	∈	∈	NOUN
cord-194157-ak2gc3nz	89	26	v	v	NOUN
cord-194157-ak2gc3nz	89	27	(	(	PUNCT
cord-194157-ak2gc3nz	89	28	g	g	NOUN
cord-194157-ak2gc3nz	89	29	)	)	PUNCT
cord-194157-ak2gc3nz	89	30	,	,	PUNCT
cord-194157-ak2gc3nz	89	31	it	it	PRON
cord-194157-ak2gc3nz	89	32	holds	hold	VERB
cord-194157-ak2gc3nz	89	33	that	that	SCONJ
cord-194157-ak2gc3nz	89	34	the	the	DET
cord-194157-ak2gc3nz	89	35	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	89	36	induced	induce	VERB
cord-194157-ak2gc3nz	89	37	by	by	ADP
cord-194157-ak2gc3nz	89	38	the	the	DET
cord-194157-ak2gc3nz	89	39	vertices	vertex	NOUN
cord-194157-ak2gc3nz	89	40	of	of	ADP
cord-194157-ak2gc3nz	89	41	distance	distance	NOUN
cord-194157-ak2gc3nz	89	42	at	at	ADP
cord-194157-ak2gc3nz	89	43	most	most	ADJ
cord-194157-ak2gc3nz	89	44	r	r	NOUN
cord-194157-ak2gc3nz	89	45	from	from	ADP
cord-194157-ak2gc3nz	89	46	v	v	NOUN
cord-194157-ak2gc3nz	89	47	is	be	AUX
cord-194157-ak2gc3nz	89	48	a	a	DET
cord-194157-ak2gc3nz	89	49	tree	tree	NOUN
cord-194157-ak2gc3nz	89	50	.	.	PUNCT
cord-194157-ak2gc3nz	90	1	for	for	ADP
cord-194157-ak2gc3nz	90	2	example	example	NOUN
cord-194157-ak2gc3nz	90	3	,	,	PUNCT
cord-194157-ak2gc3nz	90	4	it	it	PRON
cord-194157-ak2gc3nz	90	5	is	be	AUX
cord-194157-ak2gc3nz	90	6	known	know	VERB
cord-194157-ak2gc3nz	90	7	that	that	SCONJ
cord-194157-ak2gc3nz	90	8	for	for	ADP
cord-194157-ak2gc3nz	90	9	every	every	DET
cord-194157-ak2gc3nz	90	10	fixed	fix	VERB
cord-194157-ak2gc3nz	90	11	choice	choice	NOUN
cord-194157-ak2gc3nz	90	12	of	of	ADP
cord-194157-ak2gc3nz	90	13	d	d	X
cord-194157-ak2gc3nz	90	14	∈	∈	PROPN
cord-194157-ak2gc3nz	90	15	n	n	NOUN
cord-194157-ak2gc3nz	90	16	with	with	ADP
cord-194157-ak2gc3nz	90	17	d	d	X
cord-194157-ak2gc3nz	90	18	>	>	SYM
cord-194157-ak2gc3nz	90	19	1	1	NUM
cord-194157-ak2gc3nz	90	20	and	and	CCONJ
cord-194157-ak2gc3nz	90	21	c	c	PROPN
cord-194157-ak2gc3nz	90	22	∈	∈	PROPN
cord-194157-ak2gc3nz	90	23	(	(	PUNCT
cord-194157-ak2gc3nz	90	24	0	0	NUM
cord-194157-ak2gc3nz	90	25	,	,	PUNCT
cord-194157-ak2gc3nz	90	26	1	1	NUM
cord-194157-ak2gc3nz	90	27	4	4	NUM
cord-194157-ak2gc3nz	90	28	)	)	PUNCT
cord-194157-ak2gc3nz	90	29	,	,	PUNCT
cord-194157-ak2gc3nz	90	30	there	there	PRON
cord-194157-ak2gc3nz	90	31	exists	exist	VERB
cord-194157-ak2gc3nz	90	32	γ	γ	PROPN
cord-194157-ak2gc3nz	90	33	>	>	X
cord-194157-ak2gc3nz	90	34	0	0	PUNCT
cord-194157-ak2gc3nz	90	35	such	such	ADJ
cord-194157-ak2gc3nz	90	36	that	that	SCONJ
cord-194157-ak2gc3nz	90	37	a	a	DET
cord-194157-ak2gc3nz	90	38	random	random	ADJ
cord-194157-ak2gc3nz	90	39	d	d	ADJ
cord-194157-ak2gc3nz	90	40	-	-	ADJ
cord-194157-ak2gc3nz	90	41	regular	regular	ADJ
cord-194157-ak2gc3nz	90	42	graph	graph	NOUN
cord-194157-ak2gc3nz	90	43	on	on	ADP
cord-194157-ak2gc3nz	90	44	n	n	DET
cord-194157-ak2gc3nz	90	45	vertices	vertex	NOUN
cord-194157-ak2gc3nz	90	46	is	be	AUX
cord-194157-ak2gc3nz	90	47	(	(	PUNCT
cord-194157-ak2gc3nz	90	48	c	c	PROPN
cord-194157-ak2gc3nz	90	49	log	log	PROPN
cord-194157-ak2gc3nz	90	50	d−1	d−1	PROPN
cord-194157-ak2gc3nz	90	51	n	n	NOUN
cord-194157-ak2gc3nz	90	52	,	,	PUNCT
cord-194157-ak2gc3nz	90	53	n	n	PROPN
cord-194157-ak2gc3nz	90	54	−γ	−γ	ADJ
cord-194157-ak2gc3nz	90	55	)	)	PUNCT
cord-194157-ak2gc3nz	90	56	-locally	-locally	ADV
cord-194157-ak2gc3nz	90	57	tree	tree	NOUN
cord-194157-ak2gc3nz	90	58	-	-	PUNCT
cord-194157-ak2gc3nz	90	59	like	like	ADJ
cord-194157-ak2gc3nz	90	60	with	with	ADP
cord-194157-ak2gc3nz	90	61	probability	probability	NOUN
cord-194157-ak2gc3nz	90	62	approaching	approach	VERB
cord-194157-ak2gc3nz	90	63	1	1	NUM
cord-194157-ak2gc3nz	90	64	as	as	ADP
cord-194157-ak2gc3nz	90	65	n	n	ADV
cord-194157-ak2gc3nz	90	66	→	→	PUNCT
cord-194157-ak2gc3nz	90	67	∞	∞	NUM
cord-194157-ak2gc3nz	90	68	;	;	PUNCT
cord-194157-ak2gc3nz	90	69	see	see	VERB
cord-194157-ak2gc3nz	90	70	proposition	proposition	NOUN
cord-194157-ak2gc3nz	90	71	4.1	4.1	NUM
cord-194157-ak2gc3nz	90	72	in	in	ADP
cord-194157-ak2gc3nz	90	73	[	[	X
cord-194157-ak2gc3nz	90	74	2	2	NUM
cord-194157-ak2gc3nz	90	75	]	]	PUNCT
cord-194157-ak2gc3nz	90	76	.	.	PUNCT
cord-194157-ak2gc3nz	91	1	by	by	ADP
cord-194157-ak2gc3nz	91	2	focusing	focus	VERB
cord-194157-ak2gc3nz	91	3	on	on	ADP
cord-194157-ak2gc3nz	91	4	this	this	DET
cord-194157-ak2gc3nz	91	5	class	class	NOUN
cord-194157-ak2gc3nz	91	6	of	of	ADP
cord-194157-ak2gc3nz	91	7	graphs	graph	NOUN
cord-194157-ak2gc3nz	91	8	,	,	PUNCT
cord-194157-ak2gc3nz	91	9	we	we	PRON
cord-194157-ak2gc3nz	91	10	may	may	AUX
cord-194157-ak2gc3nz	91	11	apply	apply	VERB
cord-194157-ak2gc3nz	91	12	the	the	DET
cord-194157-ak2gc3nz	91	13	vast	vast	ADJ
cord-194157-ak2gc3nz	91	14	literature	literature	NOUN
cord-194157-ak2gc3nz	91	15	on	on	ADP
cord-194157-ak2gc3nz	91	16	sir	sir	PROPN
cord-194157-ak2gc3nz	91	17	dynamics	dynamic	NOUN
cord-194157-ak2gc3nz	91	18	on	on	ADP
cord-194157-ak2gc3nz	91	19	infinite	infinite	ADJ
cord-194157-ak2gc3nz	91	20	trees	tree	NOUN
cord-194157-ak2gc3nz	91	21	to	to	PART
cord-194157-ak2gc3nz	91	22	help	help	VERB
cord-194157-ak2gc3nz	91	23	analyze	analyze	VERB
cord-194157-ak2gc3nz	91	24	the	the	DET
cord-194157-ak2gc3nz	91	25	performance	performance	NOUN
cord-194157-ak2gc3nz	91	26	of	of	ADP
cord-194157-ak2gc3nz	91	27	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	91	28	1	1	NUM
cord-194157-ak2gc3nz	91	29	.	.	PUNCT
cord-194157-ak2gc3nz	92	1	theorem	theorem	PROPN
cord-194157-ak2gc3nz	92	2	7	7	NUM
cord-194157-ak2gc3nz	92	3	(	(	PUNCT
cord-194157-ak2gc3nz	92	4	main	main	ADJ
cord-194157-ak2gc3nz	92	5	result	result	NOUN
cord-194157-ak2gc3nz	92	6	)	)	PUNCT
cord-194157-ak2gc3nz	92	7	.	.	PUNCT
cord-194157-ak2gc3nz	93	1	fix	fix	VERB
cord-194157-ak2gc3nz	93	2	d	d	PROPN
cord-194157-ak2gc3nz	93	3	∈	∈	PROPN
cord-194157-ak2gc3nz	93	4	n	n	NOUN
cord-194157-ak2gc3nz	93	5	with	with	ADP
cord-194157-ak2gc3nz	93	6	d	d	X
cord-194157-ak2gc3nz	93	7	≥	≥	NOUN
cord-194157-ak2gc3nz	93	8	3	3	NUM
cord-194157-ak2gc3nz	93	9	and	and	CCONJ
cord-194157-ak2gc3nz	93	10	c	c	PROPN
cord-194157-ak2gc3nz	93	11	,	,	PUNCT
cord-194157-ak2gc3nz	93	12	γ	γ	NOUN
cord-194157-ak2gc3nz	93	13	>	>	X
cord-194157-ak2gc3nz	93	14	0	0	NUM
cord-194157-ak2gc3nz	93	15	,	,	PUNCT
cord-194157-ak2gc3nz	93	16	and	and	CCONJ
cord-194157-ak2gc3nz	93	17	consider	consider	VERB
cord-194157-ak2gc3nz	93	18	any	any	DET
cord-194157-ak2gc3nz	93	19	sequence	sequence	NOUN
cord-194157-ak2gc3nz	93	20	of	of	ADP
cord-194157-ak2gc3nz	93	21	d	d	NOUN
cord-194157-ak2gc3nz	93	22	-	-	PUNCT
cord-194157-ak2gc3nz	93	23	regular	regular	ADJ
cord-194157-ak2gc3nz	93	24	,	,	PUNCT
cord-194157-ak2gc3nz	93	25	(	(	PUNCT
cord-194157-ak2gc3nz	93	26	c	c	PROPN
cord-194157-ak2gc3nz	93	27	log	log	PROPN
cord-194157-ak2gc3nz	93	28	d−1	d−1	PROPN
cord-194157-ak2gc3nz	93	29	n	n	NOUN
cord-194157-ak2gc3nz	93	30	,	,	PUNCT
cord-194157-ak2gc3nz	93	31	n	n	PROPN
cord-194157-ak2gc3nz	93	32	−γ	−γ	ADJ
cord-194157-ak2gc3nz	93	33	)	)	PUNCT
cord-194157-ak2gc3nz	93	34	-locally	-locally	ADV
cord-194157-ak2gc3nz	93	35	tree	tree	NOUN
cord-194157-ak2gc3nz	93	36	-	-	PUNCT
cord-194157-ak2gc3nz	93	37	like	like	ADJ
cord-194157-ak2gc3nz	93	38	graphs	graph	NOUN
cord-194157-ak2gc3nz	93	39	on	on	ADP
cord-194157-ak2gc3nz	93	40	n	n	DET
cord-194157-ak2gc3nz	93	41	vertices	vertex	NOUN
cord-194157-ak2gc3nz	93	42	with	with	ADP
cord-194157-ak2gc3nz	93	43	n	n	NOUN
cord-194157-ak2gc3nz	93	44	→	→	SYM
cord-194157-ak2gc3nz	93	45	∞.	∞.	PROPN
cord-194157-ak2gc3nz	93	46	select	select	VERB
cord-194157-ak2gc3nz	93	47	any	any	DET
cord-194157-ak2gc3nz	93	48	α	α	NOUN
cord-194157-ak2gc3nz	93	49	and	and	CCONJ
cord-194157-ak2gc3nz	93	50	β	β	NOUN
cord-194157-ak2gc3nz	93	51	such	such	ADJ
cord-194157-ak2gc3nz	93	52	that	that	PRON
cord-194157-ak2gc3nz	93	53	0	0	NUM
cord-194157-ak2gc3nz	93	54	<	<	X
cord-194157-ak2gc3nz	94	1	α	α	X
cord-194157-ak2gc3nz	94	2	<	<	X
cord-194157-ak2gc3nz	94	3	β	β	X
cord-194157-ak2gc3nz	95	1	<	<	X
cord-194157-ak2gc3nz	95	2	c	c	PUNCT
cord-194157-ak2gc3nz	95	3	2e(d−1)λ	2e(d−1)λ	NUM
cord-194157-ak2gc3nz	95	4	,	,	PUNCT
cord-194157-ak2gc3nz	95	5	and	and	CCONJ
cord-194157-ak2gc3nz	95	6	put	put	VERB
cord-194157-ak2gc3nz	95	7	for	for	ADP
cord-194157-ak2gc3nz	95	8	each	each	PRON
cord-194157-ak2gc3nz	95	9	n	n	PROPN
cord-194157-ak2gc3nz	95	10	,	,	PUNCT
cord-194157-ak2gc3nz	95	11	let	let	VERB
cord-194157-ak2gc3nz	95	12	e	e	PROPN
cord-194157-ak2gc3nz	95	13	0	0	PUNCT
cord-194157-ak2gc3nz	96	1	denote	denote	VERB
cord-194157-ak2gc3nz	96	2	the	the	DET
cord-194157-ak2gc3nz	96	3	event	event	NOUN
cord-194157-ak2gc3nz	96	4	that	that	PRON
cord-194157-ak2gc3nz	96	5	the	the	DET
cord-194157-ak2gc3nz	96	6	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	96	7	b(r	b(r	NOUN
cord-194157-ak2gc3nz	96	8	)	)	PUNCT
cord-194157-ak2gc3nz	96	9	induced	induce	VERB
cord-194157-ak2gc3nz	96	10	by	by	ADP
cord-194157-ak2gc3nz	96	11	vertices	vertex	NOUN
cord-194157-ak2gc3nz	96	12	of	of	ADP
cord-194157-ak2gc3nz	96	13	distance	distance	NOUN
cord-194157-ak2gc3nz	96	14	at	at	ADP
cord-194157-ak2gc3nz	96	15	most	most	ADJ
cord-194157-ak2gc3nz	96	16	r	r	NOUN
cord-194157-ak2gc3nz	96	17	from	from	ADP
cord-194157-ak2gc3nz	96	18	u	u	PROPN
cord-194157-ak2gc3nz	96	19	(	(	PUNCT
cord-194157-ak2gc3nz	96	20	0	0	NUM
cord-194157-ak2gc3nz	96	21	)	)	PUNCT
cord-194157-ak2gc3nz	96	22	is	be	AUX
cord-194157-ak2gc3nz	96	23	a	a	DET
cord-194157-ak2gc3nz	96	24	tree	tree	NOUN
cord-194157-ak2gc3nz	96	25	,	,	PUNCT
cord-194157-ak2gc3nz	96	26	and	and	CCONJ
cord-194157-ak2gc3nz	96	27	let	let	VERB
cord-194157-ak2gc3nz	96	28	e	e	PROPN
cord-194157-ak2gc3nz	96	29	∞	∞	PROPN
cord-194157-ak2gc3nz	96	30	denote	denote	VERB
cord-194157-ak2gc3nz	96	31	the	the	DET
cord-194157-ak2gc3nz	96	32	event	event	NOUN
cord-194157-ak2gc3nz	96	33	that	that	PRON
cord-194157-ak2gc3nz	96	34	u	u	PROPN
cord-194157-ak2gc3nz	96	35	(	(	PUNCT
cord-194157-ak2gc3nz	96	36	∞	∞	NUM
cord-194157-ak2gc3nz	96	37	)	)	PUNCT
cord-194157-ak2gc3nz	96	38	contains	contain	VERB
cord-194157-ak2gc3nz	96	39	a	a	DET
cord-194157-ak2gc3nz	96	40	vertex	vertex	NOUN
cord-194157-ak2gc3nz	96	41	of	of	ADP
cord-194157-ak2gc3nz	96	42	distance	distance	NOUN
cord-194157-ak2gc3nz	96	43	greater	great	ADJ
cord-194157-ak2gc3nz	96	44	than	than	ADP
cord-194157-ak2gc3nz	96	45	r	r	NOUN
cord-194157-ak2gc3nz	96	46	from	from	ADP
cord-194157-ak2gc3nz	96	47	u	u	PROPN
cord-194157-ak2gc3nz	96	48	(	(	PUNCT
cord-194157-ak2gc3nz	96	49	0	0	NUM
cord-194157-ak2gc3nz	96	50	)	)	PUNCT
cord-194157-ak2gc3nz	96	51	.	.	PUNCT
cord-194157-ak2gc3nz	97	1	suppose	suppose	VERB
cord-194157-ak2gc3nz	97	2	λ	λ	PROPN
cord-194157-ak2gc3nz	97	3	≥	≥	NOUN
cord-194157-ak2gc3nz	97	4	6µ	6µ	NOUN
cord-194157-ak2gc3nz	97	5	>	>	PUNCT
cord-194157-ak2gc3nz	97	6	0	0	NUM
cord-194157-ak2gc3nz	97	7	.	.	PUNCT
cord-194157-ak2gc3nz	98	1	then	then	ADV
cord-194157-ak2gc3nz	98	2	one	one	NUM
cord-194157-ak2gc3nz	98	3	of	of	ADP
cord-194157-ak2gc3nz	98	4	the	the	DET
cord-194157-ak2gc3nz	98	5	following	following	NOUN
cord-194157-ak2gc3nz	98	6	holds	hold	VERB
cord-194157-ak2gc3nz	98	7	:	:	PUNCT
cord-194157-ak2gc3nz	98	8	,	,	PUNCT
cord-194157-ak2gc3nz	98	9	meaning	mean	VERB
cord-194157-ak2gc3nz	98	10	there	there	PRON
cord-194157-ak2gc3nz	98	11	is	be	VERB
cord-194157-ak2gc3nz	98	12	a	a	DET
cord-194157-ak2gc3nz	98	13	subsequence	subsequence	NOUN
cord-194157-ak2gc3nz	98	14	of	of	ADP
cord-194157-ak2gc3nz	98	15	n	n	NOUN
cord-194157-ak2gc3nz	98	16	for	for	ADP
cord-194157-ak2gc3nz	98	17	which	which	PRON
cord-194157-ak2gc3nz	98	18	,	,	PUNCT
cord-194157-ak2gc3nz	98	19	with	with	ADP
cord-194157-ak2gc3nz	98	20	probability	probability	NOUN
cord-194157-ak2gc3nz	98	21	at	at	ADP
cord-194157-ak2gc3nz	98	22	least	least	ADJ
cord-194157-ak2gc3nz	98	23	1	1	NUM
cord-194157-ak2gc3nz	98	24	−	−	SYM
cord-194157-ak2gc3nz	98	25	o(1	o(1	NUM
cord-194157-ak2gc3nz	98	26	)	)	PUNCT
cord-194157-ak2gc3nz	98	27	,	,	PUNCT
cord-194157-ak2gc3nz	98	28	no	no	DET
cord-194157-ak2gc3nz	98	29	vertex	vertex	NOUN
cord-194157-ak2gc3nz	98	30	outside	outside	ADV
cord-194157-ak2gc3nz	98	31	of	of	ADP
cord-194157-ak2gc3nz	98	32	b(r	b(r	NOUN
cord-194157-ak2gc3nz	98	33	)	)	PUNCT
cord-194157-ak2gc3nz	98	34	will	will	AUX
cord-194157-ak2gc3nz	98	35	ever	ever	ADV
cord-194157-ak2gc3nz	98	36	be	be	AUX
cord-194157-ak2gc3nz	98	37	infected	infect	VERB
cord-194157-ak2gc3nz	98	38	,	,	PUNCT
cord-194157-ak2gc3nz	98	39	in	in	ADP
cord-194157-ak2gc3nz	98	40	which	which	DET
cord-194157-ak2gc3nz	98	41	case	case	NOUN
cord-194157-ak2gc3nz	98	42	the	the	DET
cord-194157-ak2gc3nz	98	43	infection	infection	NOUN
cord-194157-ak2gc3nz	98	44	does	do	AUX
cord-194157-ak2gc3nz	98	45	not	not	PART
cord-194157-ak2gc3nz	98	46	spread	spread	VERB
cord-194157-ak2gc3nz	98	47	to	to	ADP
cord-194157-ak2gc3nz	98	48	even	even	ADV
cord-194157-ak2gc3nz	98	49	a	a	DET
cord-194157-ak2gc3nz	98	50	constant	constant	ADJ
cord-194157-ak2gc3nz	98	51	fraction	fraction	NOUN
cord-194157-ak2gc3nz	98	52	of	of	ADP
cord-194157-ak2gc3nz	98	53	the	the	DET
cord-194157-ak2gc3nz	98	54	graph	graph	NOUN
cord-194157-ak2gc3nz	98	55	.	.	PUNCT
cord-194157-ak2gc3nz	99	1	(	(	PUNCT
cord-194157-ak2gc3nz	99	2	b	b	NOUN
cord-194157-ak2gc3nz	99	3	)	)	PUNCT
cord-194157-ak2gc3nz	99	4	for	for	ADP
cord-194157-ak2gc3nz	99	5	each	each	PRON
cord-194157-ak2gc3nz	99	6	n	n	PROPN
cord-194157-ak2gc3nz	99	7	,	,	PUNCT
cord-194157-ak2gc3nz	99	8	the	the	DET
cord-194157-ak2gc3nz	99	9	following	follow	VERB
cord-194157-ak2gc3nz	99	10	holds	hold	VERB
cord-194157-ak2gc3nz	99	11	:	:	PUNCT
cord-194157-ak2gc3nz	99	12	with	with	ADP
cord-194157-ak2gc3nz	99	13	probability	probability	NOUN
cord-194157-ak2gc3nz	99	14	tending	tend	VERB
cord-194157-ak2gc3nz	99	15	to	to	ADP
cord-194157-ak2gc3nz	99	16	1	1	NUM
cord-194157-ak2gc3nz	99	17	as	as	ADP
cord-194157-ak2gc3nz	99	18	n	n	ADV
cord-194157-ak2gc3nz	99	19	→	→	SYM
cord-194157-ak2gc3nz	99	20	∞.	∞.	PROPN
cord-194157-ak2gc3nz	99	21	.	.	PUNCT
cord-194157-ak2gc3nz	100	1	the	the	DET
cord-194157-ak2gc3nz	100	2	proof	proof	NOUN
cord-194157-ak2gc3nz	100	3	is	be	AUX
cord-194157-ak2gc3nz	100	4	given	give	VERB
cord-194157-ak2gc3nz	100	5	in	in	ADP
cord-194157-ak2gc3nz	100	6	the	the	DET
cord-194157-ak2gc3nz	100	7	next	next	ADJ
cord-194157-ak2gc3nz	100	8	section	section	NOUN
cord-194157-ak2gc3nz	100	9	,	,	PUNCT
cord-194157-ak2gc3nz	100	10	and	and	CCONJ
cord-194157-ak2gc3nz	100	11	figure	figure	VERB
cord-194157-ak2gc3nz	100	12	1	1	NUM
cord-194157-ak2gc3nz	100	13	illustrates	illustrate	VERB
cord-194157-ak2gc3nz	100	14	the	the	DET
cord-194157-ak2gc3nz	100	15	actual	actual	ADJ
cord-194157-ak2gc3nz	100	16	behavior	behavior	NOUN
cord-194157-ak2gc3nz	100	17	of	of	ADP
cord-194157-ak2gc3nz	100	18	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	100	19	1	1	NUM
cord-194157-ak2gc3nz	100	20	for	for	ADP
cord-194157-ak2gc3nz	100	21	comparison	comparison	NOUN
cord-194157-ak2gc3nz	100	22	.	.	PUNCT
cord-194157-ak2gc3nz	101	1	the	the	DET
cord-194157-ak2gc3nz	101	2	factors	factor	NOUN
cord-194157-ak2gc3nz	101	3	of	of	ADP
cord-194157-ak2gc3nz	101	4	8	8	NUM
cord-194157-ak2gc3nz	101	5	in	in	ADP
cord-194157-ak2gc3nz	101	6	(	(	PUNCT
cord-194157-ak2gc3nz	101	7	1	1	NUM
cord-194157-ak2gc3nz	101	8	)	)	PUNCT
cord-194157-ak2gc3nz	101	9	are	be	AUX
cord-194157-ak2gc3nz	101	10	due	due	ADJ
cord-194157-ak2gc3nz	101	11	to	to	ADP
cord-194157-ak2gc3nz	101	12	the	the	DET
cord-194157-ak2gc3nz	101	13	approximation	approximation	NOUN
cord-194157-ak2gc3nz	101	14	i(t	i(t	PROPN
cord-194157-ak2gc3nz	101	15	0	0	NUM
cord-194157-ak2gc3nz	101	16	)	)	PUNCT
cord-194157-ak2gc3nz	102	1	≈	≈	PROPN
cord-194157-ak2gc3nz	102	2	u	u	PROPN
cord-194157-ak2gc3nz	102	3	(	(	PUNCT
cord-194157-ak2gc3nz	102	4	t	t	NOUN
cord-194157-ak2gc3nz	102	5	0	0	NUM
cord-194157-ak2gc3nz	102	6	)	)	PUNCT
cord-194157-ak2gc3nz	102	7	,	,	PUNCT
cord-194157-ak2gc3nz	102	8	and	and	CCONJ
cord-194157-ak2gc3nz	102	9	they	they	PRON
cord-194157-ak2gc3nz	102	10	have	have	AUX
cord-194157-ak2gc3nz	102	11	not	not	PART
cord-194157-ak2gc3nz	102	12	been	be	AUX
cord-194157-ak2gc3nz	102	13	optimized	optimize	VERB
cord-194157-ak2gc3nz	102	14	.	.	PUNCT
cord-194157-ak2gc3nz	103	1	we	we	PRON
cord-194157-ak2gc3nz	103	2	suspect	suspect	VERB
cord-194157-ak2gc3nz	103	3	that	that	SCONJ
cord-194157-ak2gc3nz	103	4	these	these	DET
cord-194157-ak2gc3nz	103	5	factors	factor	NOUN
cord-194157-ak2gc3nz	103	6	can	can	AUX
cord-194157-ak2gc3nz	103	7	be	be	AUX
cord-194157-ak2gc3nz	103	8	replaced	replace	VERB
cord-194157-ak2gc3nz	103	9	by	by	ADP
cord-194157-ak2gc3nz	103	10	terms	term	NOUN
cord-194157-ak2gc3nz	103	11	that	that	PRON
cord-194157-ak2gc3nz	103	12	approach	approach	VERB
cord-194157-ak2gc3nz	103	13	1	1	NUM
cord-194157-ak2gc3nz	103	14	as	as	ADP
cord-194157-ak2gc3nz	103	15	d	d	PROPN
cord-194157-ak2gc3nz	103	16	→	→	SYM
cord-194157-ak2gc3nz	103	17	∞	∞	NUM
cord-194157-ak2gc3nz	103	18	,	,	PUNCT
cord-194157-ak2gc3nz	103	19	but	but	CCONJ
cord-194157-ak2gc3nz	103	20	this	this	PRON
cord-194157-ak2gc3nz	103	21	requires	require	VERB
cord-194157-ak2gc3nz	103	22	a	a	DET
cord-194157-ak2gc3nz	103	23	different	different	ADJ
cord-194157-ak2gc3nz	103	24	technique	technique	NOUN
cord-194157-ak2gc3nz	103	25	.	.	PUNCT
cord-194157-ak2gc3nz	104	1	we	we	PRON
cord-194157-ak2gc3nz	104	2	also	also	ADV
cord-194157-ak2gc3nz	104	3	suspect	suspect	VERB
cord-194157-ak2gc3nz	104	4	the	the	DET
cord-194157-ak2gc3nz	104	5	hypothesis	hypothesis	NOUN
cord-194157-ak2gc3nz	104	6	λ	λ	PROPN
cord-194157-ak2gc3nz	104	7	≥	≥	NUM
cord-194157-ak2gc3nz	104	8	6µ	6µ	NOUN
cord-194157-ak2gc3nz	104	9	is	be	AUX
cord-194157-ak2gc3nz	104	10	an	an	DET
cord-194157-ak2gc3nz	104	11	artifact	artifact	NOUN
cord-194157-ak2gc3nz	104	12	of	of	ADP
cord-194157-ak2gc3nz	104	13	our	our	PRON
cord-194157-ak2gc3nz	104	14	proof	proof	NOUN
cord-194157-ak2gc3nz	104	15	.	.	PUNCT
cord-194157-ak2gc3nz	105	1	as	as	SCONJ
cord-194157-ak2gc3nz	105	2	the	the	DET
cord-194157-ak2gc3nz	105	3	following	follow	VERB
cord-194157-ak2gc3nz	105	4	lemma	lemma	NOUN
cord-194157-ak2gc3nz	105	5	indicates	indicate	VERB
cord-194157-ak2gc3nz	105	6	,	,	PUNCT
cord-194157-ak2gc3nz	105	7	the	the	DET
cord-194157-ak2gc3nz	105	8	threshold	threshold	NOUN
cord-194157-ak2gc3nz	105	9	(	(	PUNCT
cord-194157-ak2gc3nz	105	10	d	d	NOUN
cord-194157-ak2gc3nz	105	11	−	−	PROPN
cord-194157-ak2gc3nz	105	12	2)λ	2)λ	NUM
cord-194157-ak2gc3nz	105	13	>	>	PUNCT
cord-194157-ak2gc3nz	105	14	µ	µ	PROPN
cord-194157-ak2gc3nz	105	15	would	would	AUX
cord-194157-ak2gc3nz	105	16	be	be	AUX
cord-194157-ak2gc3nz	105	17	more	more	ADV
cord-194157-ak2gc3nz	105	18	natural	natural	ADJ
cord-194157-ak2gc3nz	105	19	;	;	PUNCT
cord-194157-ak2gc3nz	105	20	this	this	DET
cord-194157-ak2gc3nz	105	21	threshold	threshold	NOUN
cord-194157-ak2gc3nz	105	22	arises	arise	VERB
cord-194157-ak2gc3nz	105	23	from	from	ADP
cord-194157-ak2gc3nz	105	24	standard	standard	ADJ
cord-194157-ak2gc3nz	105	25	results	result	NOUN
cord-194157-ak2gc3nz	105	26	on	on	ADP
cord-194157-ak2gc3nz	105	27	galton	galton	PROPN
cord-194157-ak2gc3nz	105	28	-	-	PUNCT
cord-194157-ak2gc3nz	105	29	watson	watson	PROPN
cord-194157-ak2gc3nz	105	30	processes	process	NOUN
cord-194157-ak2gc3nz	105	31	(	(	PUNCT
cord-194157-ak2gc3nz	105	32	see	see	VERB
cord-194157-ak2gc3nz	105	33	the	the	DET
cord-194157-ak2gc3nz	105	34	lecture	lecture	NOUN
cord-194157-ak2gc3nz	105	35	notes	note	VERB
cord-194157-ak2gc3nz	105	36	[	[	X
cord-194157-ak2gc3nz	105	37	1	1	NUM
cord-194157-ak2gc3nz	105	38	]	]	PUNCT
cord-194157-ak2gc3nz	105	39	,	,	PUNCT
cord-194157-ak2gc3nz	105	40	for	for	ADP
cord-194157-ak2gc3nz	105	41	example	example	NOUN
cord-194157-ak2gc3nz	105	42	)	)	PUNCT
cord-194157-ak2gc3nz	105	43	.	.	PUNCT
cord-194157-ak2gc3nz	106	1	lemma	lemma	NOUN
cord-194157-ak2gc3nz	106	2	8	8	NUM
cord-194157-ak2gc3nz	106	3	.	.	PUNCT
cord-194157-ak2gc3nz	106	4	consider	consider	VERB
cord-194157-ak2gc3nz	106	5	any	any	DET
cord-194157-ak2gc3nz	106	6	sequence	sequence	NOUN
cord-194157-ak2gc3nz	106	7	{	{	PUNCT
cord-194157-ak2gc3nz	106	8	g	g	NOUN
cord-194157-ak2gc3nz	106	9	n	n	NOUN
cord-194157-ak2gc3nz	106	10	}	}	PUNCT
cord-194157-ak2gc3nz	106	11	of	of	ADP
cord-194157-ak2gc3nz	106	12	d	d	X
cord-194157-ak2gc3nz	106	13	-	-	ADJ
cord-194157-ak2gc3nz	106	14	regular	regular	ADJ
cord-194157-ak2gc3nz	106	15	graphs	graph	NOUN
cord-194157-ak2gc3nz	106	16	on	on	ADP
cord-194157-ak2gc3nz	106	17	n	n	DET
cord-194157-ak2gc3nz	106	18	vertices	vertex	NOUN
cord-194157-ak2gc3nz	106	19	with	with	ADP
cord-194157-ak2gc3nz	106	20	n	n	NOUN
cord-194157-ak2gc3nz	106	21	→	→	SYM
cord-194157-ak2gc3nz	106	22	∞	∞	X
cord-194157-ak2gc3nz	106	23	such	such	ADJ
cord-194157-ak2gc3nz	106	24	that	that	SCONJ
cord-194157-ak2gc3nz	106	25	g	g	PROPN
cord-194157-ak2gc3nz	106	26	n	n	PROPN
cord-194157-ak2gc3nz	106	27	is	be	AUX
cord-194157-ak2gc3nz	106	28	(	(	PUNCT
cord-194157-ak2gc3nz	106	29	r	r	NOUN
cord-194157-ak2gc3nz	106	30	n	n	NOUN
cord-194157-ak2gc3nz	106	31	,	,	PUNCT
cord-194157-ak2gc3nz	106	32	η	η	NOUN
cord-194157-ak2gc3nz	106	33	n	n	NOUN
cord-194157-ak2gc3nz	106	34	)	)	PUNCT
cord-194157-ak2gc3nz	106	35	-locally	-locally	ADV
cord-194157-ak2gc3nz	106	36	tree	tree	NOUN
cord-194157-ak2gc3nz	106	37	-	-	PUNCT
cord-194157-ak2gc3nz	106	38	like	like	ADJ
cord-194157-ak2gc3nz	106	39	with	with	ADP
cord-194157-ak2gc3nz	106	40	r	r	NOUN
cord-194157-ak2gc3nz	106	41	n	n	NOUN
cord-194157-ak2gc3nz	106	42	→	→	SYM
cord-194157-ak2gc3nz	106	43	∞	∞	PROPN
cord-194157-ak2gc3nz	106	44	and	and	CCONJ
cord-194157-ak2gc3nz	106	45	η	η	NOUN
cord-194157-ak2gc3nz	106	46	n	n	NOUN
cord-194157-ak2gc3nz	106	47	→	→	PUNCT
cord-194157-ak2gc3nz	106	48	0	0	NUM
cord-194157-ak2gc3nz	106	49	.	.	PUNCT
cord-194157-ak2gc3nz	107	1	for	for	ADP
cord-194157-ak2gc3nz	107	2	each	each	PRON
cord-194157-ak2gc3nz	107	3	n	n	PROPN
cord-194157-ak2gc3nz	107	4	,	,	PUNCT
cord-194157-ak2gc3nz	107	5	consider	consider	VERB
cord-194157-ak2gc3nz	107	6	the	the	DET
cord-194157-ak2gc3nz	107	7	sir	sir	PROPN
cord-194157-ak2gc3nz	107	8	model	model	NOUN
cord-194157-ak2gc3nz	107	9	on	on	ADP
cord-194157-ak2gc3nz	107	10	g	g	PROPN
cord-194157-ak2gc3nz	107	11	n	n	NOUN
cord-194157-ak2gc3nz	107	12	with	with	ADP
cord-194157-ak2gc3nz	107	13	parameters	parameter	NOUN
cord-194157-ak2gc3nz	107	14	λ	λ	PROPN
cord-194157-ak2gc3nz	107	15	and	and	CCONJ
cord-194157-ak2gc3nz	107	16	µ	µ	NOUN
cord-194157-ak2gc3nz	107	17	,	,	PUNCT
cord-194157-ak2gc3nz	107	18	and	and	CCONJ
cord-194157-ak2gc3nz	107	19	let	let	VERB
cord-194157-ak2gc3nz	107	20	e	e	PROPN
cord-194157-ak2gc3nz	107	21	∞	∞	PROPN
cord-194157-ak2gc3nz	107	22	denote	denote	VERB
cord-194157-ak2gc3nz	107	23	the	the	DET
cord-194157-ak2gc3nz	107	24	event	event	NOUN
cord-194157-ak2gc3nz	107	25	that	that	PRON
cord-194157-ak2gc3nz	107	26	u	u	PROPN
cord-194157-ak2gc3nz	107	27	(	(	PUNCT
cord-194157-ak2gc3nz	107	28	∞	∞	NUM
cord-194157-ak2gc3nz	107	29	)	)	PUNCT
cord-194157-ak2gc3nz	107	30	contains	contain	VERB
cord-194157-ak2gc3nz	107	31	a	a	DET
cord-194157-ak2gc3nz	107	32	vertex	vertex	NOUN
cord-194157-ak2gc3nz	107	33	of	of	ADP
cord-194157-ak2gc3nz	107	34	distance	distance	NOUN
cord-194157-ak2gc3nz	107	35	greater	great	ADJ
cord-194157-ak2gc3nz	107	36	than	than	ADP
cord-194157-ak2gc3nz	107	37	r	r	NOUN
cord-194157-ak2gc3nz	107	38	from	from	ADP
cord-194157-ak2gc3nz	107	39	u	u	PROPN
cord-194157-ak2gc3nz	107	40	(	(	PUNCT
cord-194157-ak2gc3nz	107	41	0	0	NUM
cord-194157-ak2gc3nz	107	42	)	)	PUNCT
cord-194157-ak2gc3nz	107	43	.	.	PUNCT
cord-194157-ak2gc3nz	108	1	proof	proof	NOUN
cord-194157-ak2gc3nz	108	2	.	.	PUNCT
cord-194157-ak2gc3nz	109	1	restrict	restrict	VERB
cord-194157-ak2gc3nz	109	2	to	to	ADP
cord-194157-ak2gc3nz	109	3	the	the	DET
cord-194157-ak2gc3nz	109	4	event	event	NOUN
cord-194157-ak2gc3nz	109	5	e	e	PROPN
cord-194157-ak2gc3nz	109	6	0	0	NUM
cord-194157-ak2gc3nz	109	7	,	,	PUNCT
cord-194157-ak2gc3nz	109	8	and	and	CCONJ
cord-194157-ak2gc3nz	109	9	put	put	VERB
cord-194157-ak2gc3nz	109	10	{	{	PUNCT
cord-194157-ak2gc3nz	109	11	v	v	NOUN
cord-194157-ak2gc3nz	109	12	}	}	PUNCT
cord-194157-ak2gc3nz	109	13	=	=	SYM
cord-194157-ak2gc3nz	109	14	u	u	NOUN
cord-194157-ak2gc3nz	109	15	(	(	PUNCT
cord-194157-ak2gc3nz	109	16	0	0	NUM
cord-194157-ak2gc3nz	109	17	)	)	PUNCT
cord-194157-ak2gc3nz	109	18	.	.	PUNCT
cord-194157-ak2gc3nz	110	1	deleting	delete	VERB
cord-194157-ak2gc3nz	110	2	v	v	NOUN
cord-194157-ak2gc3nz	110	3	from	from	ADP
cord-194157-ak2gc3nz	110	4	b(r	b(r	NOUN
cord-194157-ak2gc3nz	110	5	n	n	NOUN
cord-194157-ak2gc3nz	110	6	)	)	PUNCT
cord-194157-ak2gc3nz	110	7	produces	produce	VERB
cord-194157-ak2gc3nz	110	8	d	d	X
cord-194157-ak2gc3nz	110	9	connected	connect	VERB
cord-194157-ak2gc3nz	110	10	components	component	NOUN
cord-194157-ak2gc3nz	110	11	,	,	PUNCT
cord-194157-ak2gc3nz	110	12	each	each	PRON
cord-194157-ak2gc3nz	110	13	of	of	ADP
cord-194157-ak2gc3nz	110	14	which	which	PRON
cord-194157-ak2gc3nz	110	15	can	can	AUX
cord-194157-ak2gc3nz	110	16	be	be	AUX
cord-194157-ak2gc3nz	110	17	viewed	view	VERB
cord-194157-ak2gc3nz	110	18	as	as	ADP
cord-194157-ak2gc3nz	110	19	a	a	DET
cord-194157-ak2gc3nz	110	20	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	110	21	of	of	ADP
cord-194157-ak2gc3nz	110	22	the	the	DET
cord-194157-ak2gc3nz	110	23	infinite	infinite	NOUN
cord-194157-ak2gc3nz	110	24	(	(	PUNCT
cord-194157-ak2gc3nz	110	25	d	d	NOUN
cord-194157-ak2gc3nz	110	26	−	−	X
cord-194157-ak2gc3nz	110	27	1)-ary	1)-ary	ADJ
cord-194157-ak2gc3nz	110	28	tree	tree	NOUN
cord-194157-ak2gc3nz	110	29	t	t	NOUN
cord-194157-ak2gc3nz	110	30	that	that	PRON
cord-194157-ak2gc3nz	110	31	is	be	AUX
cord-194157-ak2gc3nz	110	32	rooted	root	VERB
cord-194157-ak2gc3nz	110	33	by	by	ADP
cord-194157-ak2gc3nz	110	34	the	the	DET
cord-194157-ak2gc3nz	110	35	corresponding	correspond	VERB
cord-194157-ak2gc3nz	110	36	neighbor	neighbor	NOUN
cord-194157-ak2gc3nz	110	37	w	w	PROPN
cord-194157-ak2gc3nz	110	38	of	of	ADP
cord-194157-ak2gc3nz	110	39	v.	v.	ADP
cord-194157-ak2gc3nz	110	40	the	the	DET
cord-194157-ak2gc3nz	110	41	sir	sir	PROPN
cord-194157-ak2gc3nz	110	42	evolution	evolution	NOUN
cord-194157-ak2gc3nz	110	43	on	on	ADP
cord-194157-ak2gc3nz	110	44	t	t	PROPN
cord-194157-ak2gc3nz	110	45	determines	determine	VERB
cord-194157-ak2gc3nz	110	46	a	a	DET
cord-194157-ak2gc3nz	110	47	galton	galton	PROPN
cord-194157-ak2gc3nz	110	48	-	-	PUNCT
cord-194157-ak2gc3nz	110	49	watson	watson	PROPN
cord-194157-ak2gc3nz	110	50	process	process	NOUN
cord-194157-ak2gc3nz	110	51	that	that	PRON
cord-194157-ak2gc3nz	110	52	gives	give	VERB
cord-194157-ak2gc3nz	110	53	the	the	DET
cord-194157-ak2gc3nz	110	54	eventual	eventual	ADJ
cord-194157-ak2gc3nz	110	55	number	number	NOUN
cord-194157-ak2gc3nz	110	56	z	z	NOUN
cord-194157-ak2gc3nz	110	57	m	m	NOUN
cord-194157-ak2gc3nz	110	58	of	of	ADP
cord-194157-ak2gc3nz	110	59	unsusceptible	unsusceptible	ADJ
cord-194157-ak2gc3nz	110	60	vertices	vertex	NOUN
cord-194157-ak2gc3nz	110	61	at	at	ADP
cord-194157-ak2gc3nz	110	62	distance	distance	NOUN
cord-194157-ak2gc3nz	110	63	m	m	NOUN
cord-194157-ak2gc3nz	110	64	≥	≥	NOUN
cord-194157-ak2gc3nz	110	65	1	1	NUM
cord-194157-ak2gc3nz	110	66	from	from	ADP
cord-194157-ak2gc3nz	110	67	w	w	PROPN
cord-194157-ak2gc3nz	110	68	:	:	PUNCT
cord-194157-ak2gc3nz	110	69	where	where	SCONJ
cord-194157-ak2gc3nz	110	70	x	x	PUNCT
cord-194157-ak2gc3nz	110	71	m	m	PROPN
cord-194157-ak2gc3nz	110	72	,	,	PUNCT
cord-194157-ak2gc3nz	110	73	k	k	PROPN
cord-194157-ak2gc3nz	110	74	denotes	denote	VERB
cord-194157-ak2gc3nz	110	75	the	the	DET
cord-194157-ak2gc3nz	110	76	number	number	NOUN
cord-194157-ak2gc3nz	110	77	of	of	ADP
cord-194157-ak2gc3nz	110	78	vertices	vertex	NOUN
cord-194157-ak2gc3nz	110	79	infected	infect	VERB
cord-194157-ak2gc3nz	110	80	by	by	ADP
cord-194157-ak2gc3nz	110	81	the	the	DET
cord-194157-ak2gc3nz	110	82	kth	kth	PROPN
cord-194157-ak2gc3nz	110	83	infected	infect	VERB
cord-194157-ak2gc3nz	110	84	vertex	vertex	NOUN
cord-194157-ak2gc3nz	110	85	in	in	ADP
cord-194157-ak2gc3nz	110	86	t	t	NOUN
cord-194157-ak2gc3nz	110	87	that	that	PRON
cord-194157-ak2gc3nz	110	88	has	have	VERB
cord-194157-ak2gc3nz	110	89	distance	distance	NOUN
cord-194157-ak2gc3nz	110	90	m	m	NOUN
cord-194157-ak2gc3nz	110	91	from	from	ADP
cord-194157-ak2gc3nz	110	92	w.	w.	PROPN
cord-194157-ak2gc3nz	110	93	the	the	DET
cord-194157-ak2gc3nz	110	94	random	random	ADJ
cord-194157-ak2gc3nz	110	95	variables	variable	NOUN
cord-194157-ak2gc3nz	110	96	{	{	PUNCT
cord-194157-ak2gc3nz	110	97	x	x	NOUN
cord-194157-ak2gc3nz	110	98	n	n	PROPN
cord-194157-ak2gc3nz	110	99	,	,	PUNCT
cord-194157-ak2gc3nz	110	100	k	k	PROPN
cord-194157-ak2gc3nz	110	101	}	}	PUNCT
cord-194157-ak2gc3nz	110	102	n	n	PROPN
cord-194157-ak2gc3nz	110	103	,	,	PUNCT
cord-194157-ak2gc3nz	110	104	k≥1	k≥1	PROPN
cord-194157-ak2gc3nz	110	105	are	be	AUX
cord-194157-ak2gc3nz	110	106	independent	independent	ADJ
cord-194157-ak2gc3nz	110	107	with	with	ADP
cord-194157-ak2gc3nz	110	108	distribution	distribution	NOUN
cord-194157-ak2gc3nz	110	109	matching	match	VERB
cord-194157-ak2gc3nz	110	110	a	a	DET
cord-194157-ak2gc3nz	110	111	random	random	ADJ
cord-194157-ak2gc3nz	110	112	variable	variable	NOUN
cord-194157-ak2gc3nz	110	113	that	that	PRON
cord-194157-ak2gc3nz	110	114	we	we	PRON
cord-194157-ak2gc3nz	110	115	denote	denote	VERB
cord-194157-ak2gc3nz	110	116	x.	x.	PROPN
cord-194157-ak2gc3nz	111	1	we	we	PRON
cord-194157-ak2gc3nz	111	2	can	can	AUX
cord-194157-ak2gc3nz	111	3	describe	describe	VERB
cord-194157-ak2gc3nz	111	4	the	the	DET
cord-194157-ak2gc3nz	111	5	distribution	distribution	NOUN
cord-194157-ak2gc3nz	111	6	of	of	ADP
cord-194157-ak2gc3nz	111	7	x	x	PROPN
cord-194157-ak2gc3nz	111	8	as	as	SCONJ
cord-194157-ak2gc3nz	111	9	follows	follow	VERB
cord-194157-ak2gc3nz	111	10	.	.	PUNCT
cord-194157-ak2gc3nz	112	1	draw	draw	VERB
cord-194157-ak2gc3nz	112	2	random	random	ADJ
cord-194157-ak2gc3nz	112	3	variables	variable	NOUN
cord-194157-ak2gc3nz	112	4	t	t	PROPN
cord-194157-ak2gc3nz	112	5	∼	∼	PROPN
cord-194157-ak2gc3nz	112	6	exp(µ	exp(µ	PROPN
cord-194157-ak2gc3nz	112	7	)	)	PUNCT
cord-194157-ak2gc3nz	112	8	and	and	CCONJ
cord-194157-ak2gc3nz	112	9	c	c	PROPN
cord-194157-ak2gc3nz	112	10	1	1	NUM
cord-194157-ak2gc3nz	112	11	,	,	PUNCT
cord-194157-ak2gc3nz	112	12	.	.	PUNCT
cord-194157-ak2gc3nz	112	13	.	.	PUNCT
cord-194157-ak2gc3nz	112	14	.	.	PUNCT
cord-194157-ak2gc3nz	113	1	,	,	PUNCT
cord-194157-ak2gc3nz	113	2	c	c	PROPN
cord-194157-ak2gc3nz	113	3	d−1	d−1	X
cord-194157-ak2gc3nz	113	4	∼	∼	PROPN
cord-194157-ak2gc3nz	113	5	exp(λ	exp(λ	PROPN
cord-194157-ak2gc3nz	113	6	)	)	PUNCT
cord-194157-ak2gc3nz	113	7	.	.	PUNCT
cord-194157-ak2gc3nz	114	1	if	if	SCONJ
cord-194157-ak2gc3nz	114	2	n	n	ADV
cord-194157-ak2gc3nz	114	3	denotes	denote	VERB
cord-194157-ak2gc3nz	114	4	the	the	DET
cord-194157-ak2gc3nz	114	5	number	number	NOUN
cord-194157-ak2gc3nz	114	6	of	of	ADP
cord-194157-ak2gc3nz	114	7	k	k	PROPN
cord-194157-ak2gc3nz	114	8	∈	∈	NOUN
cord-194157-ak2gc3nz	115	1	[	[	X
cord-194157-ak2gc3nz	115	2	d	d	X
cord-194157-ak2gc3nz	115	3	−	−	SYM
cord-194157-ak2gc3nz	115	4	1	1	NUM
cord-194157-ak2gc3nz	115	5	]	]	X
cord-194157-ak2gc3nz	115	6	for	for	ADP
cord-194157-ak2gc3nz	115	7	which	which	PRON
cord-194157-ak2gc3nz	115	8	c	c	NOUN
cord-194157-ak2gc3nz	115	9	k	k	X
cord-194157-ak2gc3nz	115	10	<	<	X
cord-194157-ak2gc3nz	115	11	t	t	PROPN
cord-194157-ak2gc3nz	115	12	,	,	PUNCT
cord-194157-ak2gc3nz	115	13	then	then	ADV
cord-194157-ak2gc3nz	115	14	n	n	ADV
cord-194157-ak2gc3nz	115	15	is	be	AUX
cord-194157-ak2gc3nz	115	16	distributed	distribute	VERB
cord-194157-ak2gc3nz	115	17	like	like	ADP
cord-194157-ak2gc3nz	115	18	x.	x.	PROPN
cord-194157-ak2gc3nz	115	19	conditioned	condition	VERB
cord-194157-ak2gc3nz	115	20	on	on	ADP
cord-194157-ak2gc3nz	115	21	t	t	PROPN
cord-194157-ak2gc3nz	115	22	,	,	PUNCT
cord-194157-ak2gc3nz	115	23	this	this	DET
cord-194157-ak2gc3nz	115	24	number	number	NOUN
cord-194157-ak2gc3nz	115	25	is	be	AUX
cord-194157-ak2gc3nz	115	26	a	a	DET
cord-194157-ak2gc3nz	115	27	binomial	binomial	NOUN
cord-194157-ak2gc3nz	115	28	with	with	ADP
cord-194157-ak2gc3nz	115	29	parameters	parameter	NOUN
cord-194157-ak2gc3nz	115	30	d	d	PROPN
cord-194157-ak2gc3nz	115	31	−	−	PROPN
cord-194157-ak2gc3nz	115	32	1	1	NUM
cord-194157-ak2gc3nz	115	33	and	and	CCONJ
cord-194157-ak2gc3nz	115	34	1	1	NUM
cord-194157-ak2gc3nz	115	35	−	−	PROPN
cord-194157-ak2gc3nz	115	36	e	e	NOUN
cord-194157-ak2gc3nz	115	37	−λt	−λt	NOUN
cord-194157-ak2gc3nz	115	38	.	.	PUNCT
cord-194157-ak2gc3nz	116	1	hence	hence	ADV
cord-194157-ak2gc3nz	116	2	,	,	PUNCT
cord-194157-ak2gc3nz	116	3	since	since	SCONJ
cord-194157-ak2gc3nz	116	4	in	in	ADP
cord-194157-ak2gc3nz	116	5	addition	addition	NOUN
cord-194157-ak2gc3nz	116	6	,	,	PUNCT
cord-194157-ak2gc3nz	116	7	it	it	PRON
cord-194157-ak2gc3nz	116	8	holds	hold	VERB
cord-194157-ak2gc3nz	116	9	that	that	SCONJ
cord-194157-ak2gc3nz	116	10	p{x	p{x	X
cord-194157-ak2gc3nz	116	11	>	>	SYM
cord-194157-ak2gc3nz	116	12	1	1	NUM
cord-194157-ak2gc3nz	116	13	}	}	PUNCT
cord-194157-ak2gc3nz	116	14	>	>	X
cord-194157-ak2gc3nz	116	15	0	0	NUM
cord-194157-ak2gc3nz	116	16	,	,	PUNCT
cord-194157-ak2gc3nz	116	17	theorem	theorem	VERB
cord-194157-ak2gc3nz	116	18	1.7	1.7	NUM
cord-194157-ak2gc3nz	116	19	in	in	ADP
cord-194157-ak2gc3nz	116	20	[	[	X
cord-194157-ak2gc3nz	116	21	1	1	NUM
cord-194157-ak2gc3nz	116	22	]	]	PUNCT
cord-194157-ak2gc3nz	116	23	gives	give	VERB
cord-194157-ak2gc3nz	116	24	that	that	PRON
cord-194157-ak2gc3nz	116	25	∞	∞	NUM
cord-194157-ak2gc3nz	116	26	m=1	m=1	NUM
cord-194157-ak2gc3nz	116	27	z	z	NOUN
cord-194157-ak2gc3nz	116	28	m	m	VERB
cord-194157-ak2gc3nz	116	29	is	be	AUX
cord-194157-ak2gc3nz	116	30	finite	finite	NOUN
cord-194157-ak2gc3nz	116	31	almost	almost	ADV
cord-194157-ak2gc3nz	116	32	surely	surely	ADV
cord-194157-ak2gc3nz	116	33	.	.	PUNCT
cord-194157-ak2gc3nz	117	1	put	put	VERB
cord-194157-ak2gc3nz	117	2	m	m	VERB
cord-194157-ak2gc3nz	117	3	:	:	PUNCT
cord-194157-ak2gc3nz	117	4	=	=	PROPN
cord-194157-ak2gc3nz	117	5	sup{m	sup{m	X
cord-194157-ak2gc3nz	117	6	:	:	PUNCT
cord-194157-ak2gc3nz	117	7	z	z	NOUN
cord-194157-ak2gc3nz	117	8	m	m	PUNCT
cord-194157-ak2gc3nz	117	9	>	>	PUNCT
cord-194157-ak2gc3nz	117	10	0	0	NUM
cord-194157-ak2gc3nz	117	11	}	}	PUNCT
cord-194157-ak2gc3nz	117	12	.	.	PUNCT
cord-194157-ak2gc3nz	118	1	then	then	ADV
cord-194157-ak2gc3nz	118	2	m	m	X
cord-194157-ak2gc3nz	118	3	<	<	X
cord-194157-ak2gc3nz	118	4	∞	∞	PROPN
cord-194157-ak2gc3nz	118	5	almost	almost	ADV
cord-194157-ak2gc3nz	118	6	surely	surely	ADV
cord-194157-ak2gc3nz	118	7	.	.	PUNCT
cord-194157-ak2gc3nz	119	1	in	in	ADP
cord-194157-ak2gc3nz	119	2	particular	particular	ADJ
cord-194157-ak2gc3nz	119	3	,	,	PUNCT
cord-194157-ak2gc3nz	119	4	a	a	DET
cord-194157-ak2gc3nz	119	5	union	union	NOUN
cord-194157-ak2gc3nz	119	6	bound	bind	VERB
cord-194157-ak2gc3nz	119	7	over	over	ADP
cord-194157-ak2gc3nz	119	8	the	the	DET
cord-194157-ak2gc3nz	119	9	d	d	X
cord-194157-ak2gc3nz	119	10	different	different	ADJ
cord-194157-ak2gc3nz	119	11	neighbors	neighbor	NOUN
cord-194157-ak2gc3nz	119	12	of	of	ADP
cord-194157-ak2gc3nz	119	13	v	v	NOUN
cord-194157-ak2gc3nz	119	14	gives	give	VERB
cord-194157-ak2gc3nz	119	15	where	where	SCONJ
cord-194157-ak2gc3nz	119	16	the	the	DET
cord-194157-ak2gc3nz	119	17	last	last	ADJ
cord-194157-ak2gc3nz	119	18	step	step	NOUN
cord-194157-ak2gc3nz	119	19	uses	use	VERB
cord-194157-ak2gc3nz	119	20	the	the	DET
cord-194157-ak2gc3nz	119	21	fact	fact	NOUN
cord-194157-ak2gc3nz	119	22	that	that	SCONJ
cord-194157-ak2gc3nz	119	23	the	the	DET
cord-194157-ak2gc3nz	119	24	survivor	survivor	NOUN
cord-194157-ak2gc3nz	119	25	function	function	NOUN
cord-194157-ak2gc3nz	119	26	of	of	ADP
cord-194157-ak2gc3nz	119	27	m	m	VERB
cord-194157-ak2gc3nz	119	28	vanishes	vanish	VERB
cord-194157-ak2gc3nz	119	29	at	at	ADP
cord-194157-ak2gc3nz	119	30	infinity	infinity	NOUN
cord-194157-ak2gc3nz	119	31	.	.	PUNCT
cord-194157-ak2gc3nz	120	1	restrict	restrict	VERB
cord-194157-ak2gc3nz	120	2	to	to	ADP
cord-194157-ak2gc3nz	120	3	the	the	DET
cord-194157-ak2gc3nz	120	4	event	event	NOUN
cord-194157-ak2gc3nz	120	5	e	e	PROPN
cord-194157-ak2gc3nz	120	6	0	0	NUM
cord-194157-ak2gc3nz	120	7	,	,	PUNCT
cord-194157-ak2gc3nz	120	8	and	and	CCONJ
cord-194157-ak2gc3nz	120	9	put	put	VERB
cord-194157-ak2gc3nz	120	10	{	{	PUNCT
cord-194157-ak2gc3nz	120	11	v	v	NOUN
cord-194157-ak2gc3nz	120	12	}	}	PUNCT
cord-194157-ak2gc3nz	120	13	=	=	SYM
cord-194157-ak2gc3nz	120	14	u	u	NOUN
cord-194157-ak2gc3nz	120	15	(	(	PUNCT
cord-194157-ak2gc3nz	120	16	0	0	NUM
cord-194157-ak2gc3nz	120	17	)	)	PUNCT
cord-194157-ak2gc3nz	120	18	.	.	PUNCT
cord-194157-ak2gc3nz	121	1	as	as	ADP
cord-194157-ak2gc3nz	121	2	before	before	ADV
cord-194157-ak2gc3nz	121	3	,	,	PUNCT
cord-194157-ak2gc3nz	121	4	we	we	PRON
cord-194157-ak2gc3nz	121	5	identify	identify	VERB
cord-194157-ak2gc3nz	121	6	a	a	DET
cord-194157-ak2gc3nz	121	7	galton	galton	PROPN
cord-194157-ak2gc3nz	121	8	-	-	PUNCT
cord-194157-ak2gc3nz	121	9	watson	watson	PROPN
cord-194157-ak2gc3nz	121	10	process	process	NOUN
cord-194157-ak2gc3nz	121	11	to	to	PART
cord-194157-ak2gc3nz	121	12	analyze	analyze	VERB
cord-194157-ak2gc3nz	121	13	,	,	PUNCT
cord-194157-ak2gc3nz	121	14	but	but	CCONJ
cord-194157-ak2gc3nz	121	15	this	this	DET
cord-194157-ak2gc3nz	121	16	one	one	NOUN
cord-194157-ak2gc3nz	121	17	is	be	AUX
cord-194157-ak2gc3nz	121	18	slightly	slightly	ADV
cord-194157-ak2gc3nz	121	19	different	different	ADJ
cord-194157-ak2gc3nz	121	20	:	:	PUNCT
cord-194157-ak2gc3nz	121	21	delete	delete	VERB
cord-194157-ak2gc3nz	121	22	one	one	NUM
cord-194157-ak2gc3nz	121	23	of	of	ADP
cord-194157-ak2gc3nz	121	24	the	the	DET
cord-194157-ak2gc3nz	121	25	neighbors	neighbor	NOUN
cord-194157-ak2gc3nz	121	26	of	of	ADP
cord-194157-ak2gc3nz	121	27	v	v	NOUN
cord-194157-ak2gc3nz	121	28	from	from	ADP
cord-194157-ak2gc3nz	121	29	b(r	b(r	NOUN
cord-194157-ak2gc3nz	121	30	n	n	NOUN
cord-194157-ak2gc3nz	121	31	)	)	PUNCT
cord-194157-ak2gc3nz	121	32	and	and	CCONJ
cord-194157-ak2gc3nz	121	33	identify	identify	VERB
cord-194157-ak2gc3nz	121	34	the	the	DET
cord-194157-ak2gc3nz	121	35	connected	connect	VERB
cord-194157-ak2gc3nz	121	36	component	component	NOUN
cord-194157-ak2gc3nz	121	37	c	c	NOUN
cord-194157-ak2gc3nz	121	38	containing	contain	VERB
cord-194157-ak2gc3nz	121	39	v	v	NOUN
cord-194157-ak2gc3nz	121	40	with	with	ADP
cord-194157-ak2gc3nz	121	41	a	a	DET
cord-194157-ak2gc3nz	121	42	subgraph	subgraph	NOUN
cord-194157-ak2gc3nz	121	43	of	of	ADP
cord-194157-ak2gc3nz	121	44	a	a	DET
cord-194157-ak2gc3nz	121	45	(	(	PUNCT
cord-194157-ak2gc3nz	121	46	d	d	NOUN
cord-194157-ak2gc3nz	121	47	−	−	X
cord-194157-ak2gc3nz	121	48	1)-ary	1)-ary	ADJ
cord-194157-ak2gc3nz	121	49	tree	tree	NOUN
cord-194157-ak2gc3nz	121	50	t	t	NOUN
cord-194157-ak2gc3nz	121	51	with	with	ADP
cord-194157-ak2gc3nz	121	52	root	root	NOUN
cord-194157-ak2gc3nz	121	53	v.	v.	ADP
cord-194157-ak2gc3nz	121	54	the	the	DET
cord-194157-ak2gc3nz	121	55	sir	sir	PROPN
cord-194157-ak2gc3nz	121	56	evolution	evolution	NOUN
cord-194157-ak2gc3nz	121	57	on	on	ADP
cord-194157-ak2gc3nz	121	58	t	t	PROPN
cord-194157-ak2gc3nz	121	59	determines	determine	VERB
cord-194157-ak2gc3nz	121	60	a	a	DET
cord-194157-ak2gc3nz	121	61	galton	galton	PROPN
cord-194157-ak2gc3nz	121	62	-	-	PUNCT
cord-194157-ak2gc3nz	121	63	watson	watson	PROPN
cord-194157-ak2gc3nz	121	64	process	process	NOUN
cord-194157-ak2gc3nz	121	65	that	that	PRON
cord-194157-ak2gc3nz	121	66	gives	give	VERB
cord-194157-ak2gc3nz	121	67	the	the	DET
cord-194157-ak2gc3nz	121	68	eventual	eventual	ADJ
cord-194157-ak2gc3nz	121	69	number	number	NOUN
cord-194157-ak2gc3nz	121	70	z	z	NOUN
cord-194157-ak2gc3nz	121	71	m	m	NOUN
cord-194157-ak2gc3nz	121	72	of	of	ADP
cord-194157-ak2gc3nz	121	73	unsusceptible	unsusceptible	ADJ
cord-194157-ak2gc3nz	121	74	vertices	vertex	NOUN
cord-194157-ak2gc3nz	121	75	at	at	ADP
cord-194157-ak2gc3nz	121	76	distance	distance	NOUN
cord-194157-ak2gc3nz	121	77	m	m	NOUN
cord-194157-ak2gc3nz	121	78	≥	≥	NOUN
cord-194157-ak2gc3nz	121	79	1	1	NUM
cord-194157-ak2gc3nz	121	80	from	from	ADP
cord-194157-ak2gc3nz	121	81	v	v	NOUN
cord-194157-ak2gc3nz	121	82	:	:	PUNCT
cord-194157-ak2gc3nz	121	83	where	where	SCONJ
cord-194157-ak2gc3nz	121	84	x	x	PUNCT
cord-194157-ak2gc3nz	121	85	m	m	PROPN
cord-194157-ak2gc3nz	121	86	,	,	PUNCT
cord-194157-ak2gc3nz	121	87	k	k	PROPN
cord-194157-ak2gc3nz	121	88	denotes	denote	VERB
cord-194157-ak2gc3nz	121	89	the	the	DET
cord-194157-ak2gc3nz	121	90	number	number	NOUN
cord-194157-ak2gc3nz	121	91	of	of	ADP
cord-194157-ak2gc3nz	121	92	vertices	vertex	NOUN
cord-194157-ak2gc3nz	121	93	infected	infect	VERB
cord-194157-ak2gc3nz	121	94	by	by	ADP
cord-194157-ak2gc3nz	121	95	the	the	DET
cord-194157-ak2gc3nz	121	96	kth	kth	PROPN
cord-194157-ak2gc3nz	121	97	infected	infect	VERB
cord-194157-ak2gc3nz	121	98	vertex	vertex	NOUN
cord-194157-ak2gc3nz	121	99	in	in	ADP
cord-194157-ak2gc3nz	121	100	t	t	NOUN
cord-194157-ak2gc3nz	121	101	that	that	PRON
cord-194157-ak2gc3nz	121	102	has	have	VERB
cord-194157-ak2gc3nz	121	103	distance	distance	NOUN
cord-194157-ak2gc3nz	121	104	m	m	ADJ
cord-194157-ak2gc3nz	121	105	from	from	ADP
cord-194157-ak2gc3nz	121	106	v.	v.	ADP
cord-194157-ak2gc3nz	121	107	the	the	DET
cord-194157-ak2gc3nz	121	108	random	random	ADJ
cord-194157-ak2gc3nz	121	109	variables	variable	NOUN
cord-194157-ak2gc3nz	121	110	{	{	PUNCT
cord-194157-ak2gc3nz	121	111	x	x	NOUN
cord-194157-ak2gc3nz	121	112	m	m	PROPN
cord-194157-ak2gc3nz	121	113	,	,	PUNCT
cord-194157-ak2gc3nz	121	114	k	k	NOUN
cord-194157-ak2gc3nz	121	115	}	}	PUNCT
cord-194157-ak2gc3nz	121	116	m	m	PROPN
cord-194157-ak2gc3nz	121	117	,	,	PUNCT
cord-194157-ak2gc3nz	121	118	k≥1	k≥1	PROPN
cord-194157-ak2gc3nz	121	119	are	be	AUX
cord-194157-ak2gc3nz	121	120	independent	independent	ADJ
cord-194157-ak2gc3nz	121	121	with	with	ADP
cord-194157-ak2gc3nz	121	122	distribution	distribution	NOUN
cord-194157-ak2gc3nz	121	123	matching	match	VERB
cord-194157-ak2gc3nz	121	124	a	a	DET
cord-194157-ak2gc3nz	121	125	random	random	ADJ
cord-194157-ak2gc3nz	121	126	variable	variable	NOUN
cord-194157-ak2gc3nz	121	127	that	that	PRON
cord-194157-ak2gc3nz	121	128	we	we	PRON
cord-194157-ak2gc3nz	121	129	denote	denote	VERB
cord-194157-ak2gc3nz	121	130	x.	x.	PROPN
cord-194157-ak2gc3nz	122	1	we	we	PRON
cord-194157-ak2gc3nz	122	2	see	see	VERB
cord-194157-ak2gc3nz	122	3	that	that	SCONJ
cord-194157-ak2gc3nz	122	4	p(e	p(e	PROPN
cord-194157-ak2gc3nz	122	5	c	c	PROPN
cord-194157-ak2gc3nz	122	6	∞	∞	PROPN
cord-194157-ak2gc3nz	122	7	|e	|e	PROPN
cord-194157-ak2gc3nz	122	8	0	0	NUM
cord-194157-ak2gc3nz	122	9	)	)	PUNCT
cord-194157-ak2gc3nz	122	10	is	be	AUX
cord-194157-ak2gc3nz	122	11	at	at	ADP
cord-194157-ak2gc3nz	122	12	most	most	ADJ
cord-194157-ak2gc3nz	122	13	the	the	DET
cord-194157-ak2gc3nz	122	14	extinction	extinction	NOUN
cord-194157-ak2gc3nz	122	15	probability	probability	NOUN
cord-194157-ak2gc3nz	122	16	q	q	NOUN
cord-194157-ak2gc3nz	122	17	of	of	ADP
cord-194157-ak2gc3nz	122	18	this	this	DET
cord-194157-ak2gc3nz	122	19	process	process	NOUN
cord-194157-ak2gc3nz	122	20	.	.	PUNCT
cord-194157-ak2gc3nz	123	1	by	by	ADP
cord-194157-ak2gc3nz	123	2	theorem	theorem	PROPN
cord-194157-ak2gc3nz	123	3	1	1	NUM
cord-194157-ak2gc3nz	123	4	.	.	PUNCT
cord-194157-ak2gc3nz	124	1	it	it	PRON
cord-194157-ak2gc3nz	124	2	follows	follow	VERB
cord-194157-ak2gc3nz	124	3	that	that	SCONJ
cord-194157-ak2gc3nz	124	4	q	q	NOUN
cord-194157-ak2gc3nz	124	5	≤	≤	X
cord-194157-ak2gc3nz	124	6	p	p	PROPN
cord-194157-ak2gc3nz	124	7	0	0	PUNCT
cord-194157-ak2gc3nz	124	8	1−p	1−p	NUM
cord-194157-ak2gc3nz	124	9	0	0	NUM
cord-194157-ak2gc3nz	125	1	−p	−p	PROPN
cord-194157-ak2gc3nz	125	2	1	1	NUM
cord-194157-ak2gc3nz	125	3	.	.	PUNCT
cord-194157-ak2gc3nz	126	1	before	before	ADP
cord-194157-ak2gc3nz	126	2	estimating	estimate	VERB
cord-194157-ak2gc3nz	126	3	p	p	NOUN
cord-194157-ak2gc3nz	126	4	0	0	PUNCT
cord-194157-ak2gc3nz	126	5	and	and	CCONJ
cord-194157-ak2gc3nz	126	6	p	p	NOUN
cord-194157-ak2gc3nz	126	7	1	1	NUM
cord-194157-ak2gc3nz	126	8	,	,	PUNCT
cord-194157-ak2gc3nz	126	9	it	it	PRON
cord-194157-ak2gc3nz	126	10	is	be	AUX
cord-194157-ak2gc3nz	126	11	helpful	helpful	ADJ
cord-194157-ak2gc3nz	126	12	to	to	PART
cord-194157-ak2gc3nz	126	13	introduce	introduce	VERB
cord-194157-ak2gc3nz	126	14	some	some	DET
cord-194157-ak2gc3nz	126	15	notation	notation	NOUN
cord-194157-ak2gc3nz	126	16	.	.	PUNCT
cord-194157-ak2gc3nz	127	1	an	an	DET
cord-194157-ak2gc3nz	127	2	infected	infected	ADJ
cord-194157-ak2gc3nz	127	3	parent	parent	NOUN
cord-194157-ak2gc3nz	127	4	with	with	ADP
cord-194157-ak2gc3nz	127	5	d	d	PROPN
cord-194157-ak2gc3nz	127	6	−	−	SYM
cord-194157-ak2gc3nz	127	7	1	1	NUM
cord-194157-ak2gc3nz	127	8	children	child	NOUN
cord-194157-ak2gc3nz	127	9	infects	infect	VERB
cord-194157-ak2gc3nz	127	10	x	x	ADP
cord-194157-ak2gc3nz	127	11	of	of	ADP
cord-194157-ak2gc3nz	127	12	these	these	DET
cord-194157-ak2gc3nz	127	13	children	child	NOUN
cord-194157-ak2gc3nz	127	14	.	.	PUNCT
cord-194157-ak2gc3nz	128	1	the	the	DET
cord-194157-ak2gc3nz	128	2	parent	parent	NOUN
cord-194157-ak2gc3nz	128	3	recovers	recover	VERB
cord-194157-ak2gc3nz	128	4	exponentially	exponentially	ADV
cord-194157-ak2gc3nz	128	5	with	with	ADP
cord-194157-ak2gc3nz	128	6	rate	rate	PROPN
cord-194157-ak2gc3nz	128	7	µ	µ	PROPN
cord-194157-ak2gc3nz	128	8	,	,	PUNCT
cord-194157-ak2gc3nz	128	9	and	and	CCONJ
cord-194157-ak2gc3nz	128	10	we	we	PRON
cord-194157-ak2gc3nz	128	11	let	let	VERB
cord-194157-ak2gc3nz	128	12	r	r	NOUN
cord-194157-ak2gc3nz	128	13	denote	denote	VERB
cord-194157-ak2gc3nz	128	14	the	the	DET
cord-194157-ak2gc3nz	128	15	recovery	recovery	NOUN
cord-194157-ak2gc3nz	128	16	time	time	NOUN
cord-194157-ak2gc3nz	128	17	.	.	PUNCT
cord-194157-ak2gc3nz	129	1	simultaneously	simultaneously	ADV
cord-194157-ak2gc3nz	129	2	,	,	PUNCT
cord-194157-ak2gc3nz	129	3	each	each	DET
cord-194157-ak2gc3nz	129	4	child	child	NOUN
cord-194157-ak2gc3nz	129	5	is	be	AUX
cord-194157-ak2gc3nz	129	6	infected	infect	VERB
cord-194157-ak2gc3nz	129	7	exponentially	exponentially	ADV
cord-194157-ak2gc3nz	129	8	with	with	ADP
cord-194157-ak2gc3nz	129	9	rate	rate	NOUN
cord-194157-ak2gc3nz	129	10	λ	λ	PROPN
cord-194157-ak2gc3nz	129	11	,	,	PUNCT
cord-194157-ak2gc3nz	129	12	and	and	CCONJ
cord-194157-ak2gc3nz	129	13	so	so	ADV
cord-194157-ak2gc3nz	129	14	we	we	PRON
cord-194157-ak2gc3nz	129	15	denote	denote	VERB
cord-194157-ak2gc3nz	129	16	independent	independent	ADJ
cord-194157-ak2gc3nz	129	17	random	random	ADJ
cord-194157-ak2gc3nz	129	18	variables	variable	NOUN
cord-194157-ak2gc3nz	130	1	i	i	PRON
cord-194157-ak2gc3nz	130	2	i	i	PRON
cord-194157-ak2gc3nz	130	3	∼	∼	PROPN
cord-194157-ak2gc3nz	130	4	exp(λ	exp(λ	PROPN
cord-194157-ak2gc3nz	130	5	)	)	PUNCT
cord-194157-ak2gc3nz	130	6	such	such	ADJ
cord-194157-ak2gc3nz	130	7	that	that	PRON
cord-194157-ak2gc3nz	130	8	gives	give	VERB
cord-194157-ak2gc3nz	130	9	the	the	DET
cord-194157-ak2gc3nz	130	10	time	time	NOUN
cord-194157-ak2gc3nz	130	11	of	of	ADP
cord-194157-ak2gc3nz	130	12	infection	infection	NOUN
cord-194157-ak2gc3nz	130	13	for	for	ADP
cord-194157-ak2gc3nz	130	14	child	child	NOUN
cord-194157-ak2gc3nz	130	15	i.	i.	PROPN
cord-194157-ak2gc3nz	130	16	then	then	ADV
cord-194157-ak2gc3nz	130	17	next	next	ADV
cord-194157-ak2gc3nz	130	18	,	,	PUNCT
cord-194157-ak2gc3nz	130	19	the	the	DET
cord-194157-ak2gc3nz	130	20	order	order	NOUN
cord-194157-ak2gc3nz	130	21	statistic	statistic	NOUN
cord-194157-ak2gc3nz	130	22	i	i	PROPN
cord-194157-ak2gc3nz	130	23	(	(	PUNCT
cord-194157-ak2gc3nz	130	24	2	2	NUM
cord-194157-ak2gc3nz	130	25	)	)	PUNCT
cord-194157-ak2gc3nz	130	26	has	have	VERB
cord-194157-ak2gc3nz	130	27	the	the	DET
cord-194157-ak2gc3nz	130	28	same	same	ADJ
cord-194157-ak2gc3nz	130	29	distribution	distribution	NOUN
cord-194157-ak2gc3nz	130	30	as	as	ADP
cord-194157-ak2gc3nz	130	31	1	1	NUM
cord-194157-ak2gc3nz	130	32	this	this	DET
cord-194157-ak2gc3nz	130	33	identity	identity	NOUN
cord-194157-ak2gc3nz	130	34	combined	combine	VERB
cord-194157-ak2gc3nz	130	35	with	with	ADP
cord-194157-ak2gc3nz	130	36	the	the	DET
cord-194157-ak2gc3nz	130	37	fact	fact	NOUN
cord-194157-ak2gc3nz	130	38	that	that	SCONJ
cord-194157-ak2gc3nz	130	39	x	x	X
cord-194157-ak2gc3nz	130	40	→	→	X
cord-194157-ak2gc3nz	130	41	µx	µx	PROPN
cord-194157-ak2gc3nz	130	42	µ+λx	µ+λx	PROPN
cord-194157-ak2gc3nz	130	43	is	be	AUX
cord-194157-ak2gc3nz	130	44	an	an	DET
cord-194157-ak2gc3nz	130	45	increasing	increase	VERB
cord-194157-ak2gc3nz	130	46	function	function	NOUN
cord-194157-ak2gc3nz	130	47	gives	give	VERB
cord-194157-ak2gc3nz	130	48	3	3	NUM
cord-194157-ak2gc3nz	130	49	proof	proof	NOUN
cord-194157-ak2gc3nz	130	50	of	of	ADP
cord-194157-ak2gc3nz	130	51	theorem	theorem	NOUN
cord-194157-ak2gc3nz	130	52	7	7	NUM
cord-194157-ak2gc3nz	130	53	the	the	DET
cord-194157-ak2gc3nz	130	54	last	last	ADJ
cord-194157-ak2gc3nz	130	55	statement	statement	NOUN
cord-194157-ak2gc3nz	130	56	follows	follow	VERB
cord-194157-ak2gc3nz	130	57	from	from	ADP
cord-194157-ak2gc3nz	130	58	lemma	lemma	NOUN
cord-194157-ak2gc3nz	130	59	8	8	NUM
cord-194157-ak2gc3nz	130	60	.	.	PUNCT
cord-194157-ak2gc3nz	131	1	to	to	PART
cord-194157-ak2gc3nz	131	2	prove	prove	VERB
cord-194157-ak2gc3nz	131	3	the	the	DET
cord-194157-ak2gc3nz	131	4	remainder	remainder	NOUN
cord-194157-ak2gc3nz	131	5	of	of	ADP
cord-194157-ak2gc3nz	131	6	the	the	DET
cord-194157-ak2gc3nz	131	7	result	result	NOUN
cord-194157-ak2gc3nz	131	8	,	,	PUNCT
cord-194157-ak2gc3nz	131	9	we	we	PRON
cord-194157-ak2gc3nz	131	10	will	will	AUX
cord-194157-ak2gc3nz	131	11	assume	assume	VERB
cord-194157-ak2gc3nz	131	12	that	that	SCONJ
cord-194157-ak2gc3nz	131	13	(	(	PUNCT
cord-194157-ak2gc3nz	131	14	a	a	X
cord-194157-ak2gc3nz	131	15	)	)	PUNCT
cord-194157-ak2gc3nz	131	16	does	do	AUX
cord-194157-ak2gc3nz	131	17	not	not	PART
cord-194157-ak2gc3nz	131	18	hold	hold	VERB
cord-194157-ak2gc3nz	131	19	and	and	CCONJ
cord-194157-ak2gc3nz	131	20	prove	prove	VERB
cord-194157-ak2gc3nz	131	21	that	that	SCONJ
cord-194157-ak2gc3nz	131	22	(	(	PUNCT
cord-194157-ak2gc3nz	131	23	b	b	NOUN
cord-194157-ak2gc3nz	131	24	)	)	PUNCT
cord-194157-ak2gc3nz	131	25	holds	hold	VERB
cord-194157-ak2gc3nz	131	26	.	.	PUNCT
cord-194157-ak2gc3nz	132	1	since	since	SCONJ
cord-194157-ak2gc3nz	132	2	(	(	PUNCT
cord-194157-ak2gc3nz	132	3	a	a	X
cord-194157-ak2gc3nz	132	4	)	)	PUNCT
cord-194157-ak2gc3nz	132	5	does	do	AUX
cord-194157-ak2gc3nz	132	6	not	not	PART
cord-194157-ak2gc3nz	132	7	hold	hold	VERB
cord-194157-ak2gc3nz	132	8	,	,	PUNCT
cord-194157-ak2gc3nz	132	9	there	there	PRON
cord-194157-ak2gc3nz	132	10	exists	exist	VERB
cord-194157-ak2gc3nz	132	11	some	some	PRON
cord-194157-ak2gc3nz	132	12	κ	κ	X
cord-194157-ak2gc3nz	132	13	>	>	X
cord-194157-ak2gc3nz	132	14	0	0	NUM
cord-194157-ak2gc3nz	132	15	such	such	ADJ
cord-194157-ak2gc3nz	132	16	that	that	SCONJ
cord-194157-ak2gc3nz	132	17	p(e	p(e	PROPN
cord-194157-ak2gc3nz	132	18	0	0	PUNCT
cord-194157-ak2gc3nz	132	19	∩	∩	PROPN
cord-194157-ak2gc3nz	132	20	e	e	X
cord-194157-ak2gc3nz	132	21	∞	∞	PROPN
cord-194157-ak2gc3nz	132	22	)	)	PUNCT
cord-194157-ak2gc3nz	133	1	>	>	X
cord-194157-ak2gc3nz	133	2	κ	κ	NOUN
cord-194157-ak2gc3nz	133	3	for	for	ADP
cord-194157-ak2gc3nz	133	4	all	all	DET
cord-194157-ak2gc3nz	133	5	sufficiently	sufficiently	ADV
cord-194157-ak2gc3nz	133	6	large	large	ADJ
cord-194157-ak2gc3nz	133	7	n.	n.	PROPN
cord-194157-ak2gc3nz	133	8	select	select	NOUN
cord-194157-ak2gc3nz	133	9	n	n	ADV
cord-194157-ak2gc3nz	133	10	sufficiently	sufficiently	ADV
cord-194157-ak2gc3nz	133	11	large	large	ADJ
cord-194157-ak2gc3nz	133	12	,	,	PUNCT
cord-194157-ak2gc3nz	133	13	and	and	CCONJ
cord-194157-ak2gc3nz	133	14	let	let	VERB
cord-194157-ak2gc3nz	133	15	f	f	PROPN
cord-194157-ak2gc3nz	133	16	denote	denote	VERB
cord-194157-ak2gc3nz	133	17	the	the	DET
cord-194157-ak2gc3nz	133	18	failure	failure	NOUN
cord-194157-ak2gc3nz	133	19	event	event	NOUN
cord-194157-ak2gc3nz	133	20	that	that	PRON
cord-194157-ak2gc3nz	133	21	(	(	PUNCT
cord-194157-ak2gc3nz	133	22	1	1	NUM
cord-194157-ak2gc3nz	133	23	)	)	PUNCT
cord-194157-ak2gc3nz	133	24	does	do	AUX
cord-194157-ak2gc3nz	133	25	not	not	PART
cord-194157-ak2gc3nz	133	26	hold	hold	VERB
cord-194157-ak2gc3nz	133	27	for	for	ADP
cord-194157-ak2gc3nz	133	28	some	some	DET
cord-194157-ak2gc3nz	133	29	o(1	o(1	NOUN
cord-194157-ak2gc3nz	133	30	)	)	PUNCT
cord-194157-ak2gc3nz	133	31	function	function	NOUN
cord-194157-ak2gc3nz	133	32	to	to	PART
cord-194157-ak2gc3nz	133	33	be	be	AUX
cord-194157-ak2gc3nz	133	34	identified	identify	VERB
cord-194157-ak2gc3nz	133	35	later	later	ADV
cord-194157-ak2gc3nz	133	36	.	.	PUNCT
cord-194157-ak2gc3nz	134	1	we	we	PRON
cord-194157-ak2gc3nz	134	2	wish	wish	VERB
cord-194157-ak2gc3nz	134	3	to	to	PART
cord-194157-ak2gc3nz	134	4	show	show	VERB
cord-194157-ak2gc3nz	134	5	that	that	SCONJ
cord-194157-ak2gc3nz	134	6	p(f|e	p(f|e	PROPN
cord-194157-ak2gc3nz	134	7	0	0	NUM
cord-194157-ak2gc3nz	134	8	∩	∩	NOUN
cord-194157-ak2gc3nz	134	9	e	e	X
cord-194157-ak2gc3nz	134	10	∞	∞	PROPN
cord-194157-ak2gc3nz	134	11	)	)	PUNCT
cord-194157-ak2gc3nz	134	12	=	=	NOUN
cord-194157-ak2gc3nz	134	13	o(1	o(1	X
cord-194157-ak2gc3nz	134	14	)	)	PUNCT
cord-194157-ak2gc3nz	134	15	.	.	PUNCT
cord-194157-ak2gc3nz	135	1	let	let	VERB
cord-194157-ak2gc3nz	135	2	e	e	X
cord-194157-ak2gc3nz	135	3	1	1	NUM
cord-194157-ak2gc3nz	135	4	denote	denote	VERB
cord-194157-ak2gc3nz	135	5	the	the	DET
cord-194157-ak2gc3nz	135	6	event	event	NOUN
cord-194157-ak2gc3nz	135	7	that	that	PRON
cord-194157-ak2gc3nz	135	8	u	u	PROPN
cord-194157-ak2gc3nz	135	9	(	(	PUNCT
cord-194157-ak2gc3nz	135	10	t	t	NOUN
cord-194157-ak2gc3nz	135	11	1	1	NUM
cord-194157-ak2gc3nz	135	12	)	)	PUNCT
cord-194157-ak2gc3nz	135	13	∪	∪	ADP
cord-194157-ak2gc3nz	135	14	∂u	∂u	PROPN
cord-194157-ak2gc3nz	135	15	(	(	PUNCT
cord-194157-ak2gc3nz	135	16	t	t	NOUN
cord-194157-ak2gc3nz	135	17	1	1	NUM
cord-194157-ak2gc3nz	135	18	)	)	PUNCT
cord-194157-ak2gc3nz	135	19	is	be	AUX
cord-194157-ak2gc3nz	135	20	contained	contain	VERB
cord-194157-ak2gc3nz	135	21	within	within	ADP
cord-194157-ak2gc3nz	135	22	distance	distance	NOUN
cord-194157-ak2gc3nz	135	23	r	r	NOUN
cord-194157-ak2gc3nz	135	24	of	of	ADP
cord-194157-ak2gc3nz	135	25	u	u	PROPN
cord-194157-ak2gc3nz	135	26	(	(	PUNCT
cord-194157-ak2gc3nz	135	27	0	0	NUM
cord-194157-ak2gc3nz	135	28	)	)	PUNCT
cord-194157-ak2gc3nz	135	29	.	.	PUNCT
cord-194157-ak2gc3nz	136	1	in	in	ADP
cord-194157-ak2gc3nz	136	2	particular	particular	ADJ
cord-194157-ak2gc3nz	136	3	,	,	PUNCT
cord-194157-ak2gc3nz	136	4	on	on	ADP
cord-194157-ak2gc3nz	136	5	the	the	DET
cord-194157-ak2gc3nz	136	6	event	event	NOUN
cord-194157-ak2gc3nz	136	7	e	e	PROPN
cord-194157-ak2gc3nz	136	8	0	0	NUM
cord-194157-ak2gc3nz	136	9	∩	∩	PROPN
cord-194157-ak2gc3nz	136	10	e	e	NOUN
cord-194157-ak2gc3nz	136	11	1	1	NUM
cord-194157-ak2gc3nz	136	12	,	,	PUNCT
cord-194157-ak2gc3nz	136	13	all	all	PRON
cord-194157-ak2gc3nz	136	14	of	of	ADP
cord-194157-ak2gc3nz	136	15	infected	infected	ADJ
cord-194157-ak2gc3nz	136	16	and	and	CCONJ
cord-194157-ak2gc3nz	136	17	recovered	recover	VERB
cord-194157-ak2gc3nz	136	18	vertices	vertex	NOUN
cord-194157-ak2gc3nz	136	19	at	at	ADP
cord-194157-ak2gc3nz	136	20	time	time	NOUN
cord-194157-ak2gc3nz	136	21	t	t	NOUN
cord-194157-ak2gc3nz	136	22	1	1	NUM
cord-194157-ak2gc3nz	136	23	reside	reside	VERB
cord-194157-ak2gc3nz	136	24	in	in	ADP
cord-194157-ak2gc3nz	136	25	a	a	DET
cord-194157-ak2gc3nz	136	26	tree	tree	NOUN
cord-194157-ak2gc3nz	136	27	with	with	ADP
cord-194157-ak2gc3nz	136	28	root	root	PROPN
cord-194157-ak2gc3nz	136	29	u	u	PROPN
cord-194157-ak2gc3nz	136	30	(	(	PUNCT
cord-194157-ak2gc3nz	136	31	0	0	NUM
cord-194157-ak2gc3nz	136	32	)	)	PUNCT
cord-194157-ak2gc3nz	136	33	.	.	PUNCT
cord-194157-ak2gc3nz	137	1	also	also	ADV
cord-194157-ak2gc3nz	137	2	,	,	PUNCT
cord-194157-ak2gc3nz	137	3	selecting	select	VERB
cord-194157-ak2gc3nz	137	4	k	k	PROPN
cord-194157-ak2gc3nz	137	5	:	:	PUNCT
cord-194157-ak2gc3nz	137	6	=	=	NOUN
cord-194157-ak2gc3nz	137	7	α(µ+λ	α(µ+λ	X
cord-194157-ak2gc3nz	137	8	)	)	PUNCT
cord-194157-ak2gc3nz	137	9	·	·	PUNCT
cord-194157-ak2gc3nz	137	10	c	c	X
cord-194157-ak2gc3nz	137	11	log	log	PROPN
cord-194157-ak2gc3nz	137	12	d−1	d−1	PROPN
cord-194157-ak2gc3nz	137	13	n	n	NOUN
cord-194157-ak2gc3nz	137	14	,	,	PUNCT
cord-194157-ak2gc3nz	137	15	let	let	VERB
cord-194157-ak2gc3nz	137	16	e	e	X
cord-194157-ak2gc3nz	137	17	2	2	NUM
cord-194157-ak2gc3nz	137	18	denote	denote	VERB
cord-194157-ak2gc3nz	137	19	the	the	DET
cord-194157-ak2gc3nz	137	20	event	event	NOUN
cord-194157-ak2gc3nz	137	21	that	that	PRON
cord-194157-ak2gc3nz	137	22	|u	|u	ADJ
cord-194157-ak2gc3nz	137	23	(	(	PUNCT
cord-194157-ak2gc3nz	137	24	t	t	NOUN
cord-194157-ak2gc3nz	137	25	0	0	NUM
cord-194157-ak2gc3nz	137	26	)	)	PUNCT
cord-194157-ak2gc3nz	137	27	|	|	NOUN
cord-194157-ak2gc3nz	138	1	≥	≥	NOUN
cord-194157-ak2gc3nz	138	2	k.	k.	PROPN
cord-194157-ak2gc3nz	138	3	we	we	PRON
cord-194157-ak2gc3nz	138	4	will	will	AUX
cord-194157-ak2gc3nz	138	5	make	make	VERB
cord-194157-ak2gc3nz	138	6	use	use	NOUN
cord-194157-ak2gc3nz	138	7	of	of	ADP
cord-194157-ak2gc3nz	138	8	two	two	NUM
cord-194157-ak2gc3nz	138	9	simple	simple	ADJ
cord-194157-ak2gc3nz	138	10	inequalities	inequality	NOUN
cord-194157-ak2gc3nz	138	11	involving	involve	VERB
cord-194157-ak2gc3nz	138	12	arbitrary	arbitrary	ADJ
cord-194157-ak2gc3nz	138	13	events	event	NOUN
cord-194157-ak2gc3nz	138	14	a	a	DET
cord-194157-ak2gc3nz	138	15	,	,	PUNCT
cord-194157-ak2gc3nz	138	16	b	b	NOUN
cord-194157-ak2gc3nz	138	17	,	,	PUNCT
cord-194157-ak2gc3nz	138	18	and	and	CCONJ
cord-194157-ak2gc3nz	138	19	c.	c.	PROPN
cord-194157-ak2gc3nz	138	20	first	first	PROPN
cord-194157-ak2gc3nz	138	21	,	,	PUNCT
cord-194157-ak2gc3nz	138	22	furthermore	furthermore	ADV
cord-194157-ak2gc3nz	138	23	,	,	PUNCT
cord-194157-ak2gc3nz	138	24	if	if	SCONJ
cord-194157-ak2gc3nz	138	25	p(c	p(c	PROPN
cord-194157-ak2gc3nz	138	26	c	c	PROPN
cord-194157-ak2gc3nz	138	27	|b	|b	PROPN
cord-194157-ak2gc3nz	138	28	)	)	PUNCT
cord-194157-ak2gc3nz	138	29	=	=	SYM
cord-194157-ak2gc3nz	138	30	1	1	NUM
cord-194157-ak2gc3nz	138	31	,	,	PUNCT
cord-194157-ak2gc3nz	138	32	then	then	ADV
cord-194157-ak2gc3nz	138	33	two	two	NUM
cord-194157-ak2gc3nz	138	34	applications	application	NOUN
cord-194157-ak2gc3nz	138	35	of	of	ADP
cord-194157-ak2gc3nz	138	36	(	(	PUNCT
cord-194157-ak2gc3nz	138	37	2	2	NUM
cord-194157-ak2gc3nz	138	38	)	)	PUNCT
cord-194157-ak2gc3nz	138	39	gives	give	VERB
cord-194157-ak2gc3nz	138	40	to	to	AUX
cord-194157-ak2gc3nz	138	41	bound	bind	VERB
cord-194157-ak2gc3nz	138	42	the	the	DET
cord-194157-ak2gc3nz	138	43	third	third	ADJ
cord-194157-ak2gc3nz	138	44	term	term	NOUN
cord-194157-ak2gc3nz	138	45	in	in	ADP
cord-194157-ak2gc3nz	138	46	(	(	PUNCT
cord-194157-ak2gc3nz	138	47	4	4	NUM
cord-194157-ak2gc3nz	138	48	)	)	PUNCT
cord-194157-ak2gc3nz	138	49	,	,	PUNCT
cord-194157-ak2gc3nz	138	50	we	we	PRON
cord-194157-ak2gc3nz	138	51	let	let	VERB
cord-194157-ak2gc3nz	138	52	p	p	PROPN
cord-194157-ak2gc3nz	138	53	λ,µ	λ,µ	PROPN
cord-194157-ak2gc3nz	138	54	denote	denote	VERB
cord-194157-ak2gc3nz	138	55	the	the	DET
cord-194157-ak2gc3nz	138	56	probability	probability	NOUN
cord-194157-ak2gc3nz	138	57	measure	measure	NOUN
cord-194157-ak2gc3nz	138	58	corresponding	correspond	VERB
cord-194157-ak2gc3nz	138	59	to	to	ADP
cord-194157-ak2gc3nz	138	60	the	the	DET
cord-194157-ak2gc3nz	138	61	sir	sir	PROPN
cord-194157-ak2gc3nz	138	62	model	model	NOUN
cord-194157-ak2gc3nz	138	63	with	with	ADP
cord-194157-ak2gc3nz	138	64	parameters	parameter	NOUN
cord-194157-ak2gc3nz	138	65	λ	λ	PROPN
cord-194157-ak2gc3nz	138	66	and	and	CCONJ
cord-194157-ak2gc3nz	138	67	µ.	µ.	NOUN
cord-194157-ak2gc3nz	138	68	then	then	ADV
cord-194157-ak2gc3nz	138	69	,	,	PUNCT
cord-194157-ak2gc3nz	138	70	for	for	ADP
cord-194157-ak2gc3nz	138	71	sufficiently	sufficiently	ADV
cord-194157-ak2gc3nz	138	72	large	large	ADJ
cord-194157-ak2gc3nz	138	73	n	n	NOUN
cord-194157-ak2gc3nz	138	74	,	,	PUNCT
cord-194157-ak2gc3nz	138	75	we	we	PRON
cord-194157-ak2gc3nz	138	76	have	have	VERB
cord-194157-ak2gc3nz	138	77	as	as	ADP
cord-194157-ak2gc3nz	138	78	such	such	ADJ
cord-194157-ak2gc3nz	138	79	,	,	PUNCT
cord-194157-ak2gc3nz	138	80	it	it	PRON
cord-194157-ak2gc3nz	138	81	suffices	suffice	VERB
cord-194157-ak2gc3nz	138	82	to	to	PART
cord-194157-ak2gc3nz	138	83	show	show	VERB
cord-194157-ak2gc3nz	138	84	that	that	SCONJ
cord-194157-ak2gc3nz	138	85	p	p	PROPN
cord-194157-ak2gc3nz	138	86	λ,0	λ,0	PROPN
cord-194157-ak2gc3nz	138	87	(	(	PUNCT
cord-194157-ak2gc3nz	138	88	e	e	PROPN
cord-194157-ak2gc3nz	138	89	0	0	NUM
cord-194157-ak2gc3nz	138	90	∩	∩	NOUN
cord-194157-ak2gc3nz	138	91	e	e	PROPN
cord-194157-ak2gc3nz	138	92	c	c	PROPN
cord-194157-ak2gc3nz	138	93	1	1	NUM
cord-194157-ak2gc3nz	138	94	)	)	PUNCT
cord-194157-ak2gc3nz	138	95	=	=	NOUN
cord-194157-ak2gc3nz	138	96	o(1	o(1	X
cord-194157-ak2gc3nz	138	97	)	)	PUNCT
cord-194157-ak2gc3nz	138	98	.	.	PUNCT
cord-194157-ak2gc3nz	139	1	we	we	PRON
cord-194157-ak2gc3nz	139	2	accomplish	accomplish	VERB
cord-194157-ak2gc3nz	139	3	this	this	PRON
cord-194157-ak2gc3nz	139	4	by	by	ADP
cord-194157-ak2gc3nz	139	5	analyzing	analyze	VERB
cord-194157-ak2gc3nz	139	6	the	the	DET
cord-194157-ak2gc3nz	139	7	corresponding	correspond	VERB
cord-194157-ak2gc3nz	139	8	branching	branching	NOUN
cord-194157-ak2gc3nz	139	9	process	process	NOUN
cord-194157-ak2gc3nz	139	10	:	:	PUNCT
cord-194157-ak2gc3nz	139	11	lemma	lemma	NOUN
cord-194157-ak2gc3nz	139	12	9	9	X
cord-194157-ak2gc3nz	139	13	.	.	PUNCT
cord-194157-ak2gc3nz	140	1	let	let	VERB
cord-194157-ak2gc3nz	140	2	g	g	PROPN
cord-194157-ak2gc3nz	140	3	denote	denote	VERB
cord-194157-ak2gc3nz	140	4	the	the	DET
cord-194157-ak2gc3nz	140	5	infinite	infinite	PROPN
cord-194157-ak2gc3nz	140	6	d	d	PROPN
cord-194157-ak2gc3nz	140	7	-	-	NOUN
cord-194157-ak2gc3nz	140	8	ary	ary	PROPN
cord-194157-ak2gc3nz	140	9	tree	tree	NOUN
cord-194157-ak2gc3nz	140	10	.	.	PUNCT
cord-194157-ak2gc3nz	141	1	consider	consider	VERB
cord-194157-ak2gc3nz	141	2	the	the	DET
cord-194157-ak2gc3nz	141	3	process	process	NOUN
cord-194157-ak2gc3nz	141	4	{	{	PUNCT
cord-194157-ak2gc3nz	141	5	h	h	PROPN
cord-194157-ak2gc3nz	141	6	t	t	PROPN
cord-194157-ak2gc3nz	141	7	}	}	PUNCT
cord-194157-ak2gc3nz	141	8	t≥0	t≥0	PROPN
cord-194157-ak2gc3nz	141	9	of	of	ADP
cord-194157-ak2gc3nz	141	10	induced	induced	ADJ
cord-194157-ak2gc3nz	141	11	subgraphs	subgraph	NOUN
cord-194157-ak2gc3nz	141	12	of	of	ADP
cord-194157-ak2gc3nz	141	13	g	g	NOUN
cord-194157-ak2gc3nz	141	14	in	in	ADP
cord-194157-ak2gc3nz	141	15	which	which	PRON
cord-194157-ak2gc3nz	141	16	h	h	PROPN
cord-194157-ak2gc3nz	141	17	0	0	NUM
cord-194157-ak2gc3nz	141	18	is	be	AUX
cord-194157-ak2gc3nz	141	19	induced	induce	VERB
cord-194157-ak2gc3nz	141	20	by	by	ADP
cord-194157-ak2gc3nz	141	21	the	the	DET
cord-194157-ak2gc3nz	141	22	root	root	NOUN
cord-194157-ak2gc3nz	141	23	vertex	vertex	NOUN
cord-194157-ak2gc3nz	141	24	,	,	PUNCT
cord-194157-ak2gc3nz	141	25	and	and	CCONJ
cord-194157-ak2gc3nz	141	26	then	then	ADV
cord-194157-ak2gc3nz	141	27	for	for	ADP
cord-194157-ak2gc3nz	141	28	each	each	DET
cord-194157-ak2gc3nz	141	29	v	v	NOUN
cord-194157-ak2gc3nz	141	30	∈	∈	NOUN
cord-194157-ak2gc3nz	141	31	v	v	NOUN
cord-194157-ak2gc3nz	141	32	(	(	PUNCT
cord-194157-ak2gc3nz	141	33	g)\v	g)\v	PROPN
cord-194157-ak2gc3nz	141	34	(	(	PUNCT
cord-194157-ak2gc3nz	141	35	h	h	PROPN
cord-194157-ak2gc3nz	141	36	t	t	PROPN
cord-194157-ak2gc3nz	141	37	)	)	PUNCT
cord-194157-ak2gc3nz	141	38	that	that	PRON
cord-194157-ak2gc3nz	141	39	is	be	AUX
cord-194157-ak2gc3nz	141	40	a	a	DET
cord-194157-ak2gc3nz	141	41	g	g	NOUN
cord-194157-ak2gc3nz	141	42	-	-	NOUN
cord-194157-ak2gc3nz	141	43	child	child	NOUN
cord-194157-ak2gc3nz	141	44	of	of	ADP
cord-194157-ak2gc3nz	141	45	some	some	DET
cord-194157-ak2gc3nz	141	46	vertex	vertex	NOUN
cord-194157-ak2gc3nz	141	47	in	in	ADP
cord-194157-ak2gc3nz	141	48	h	h	PROPN
cord-194157-ak2gc3nz	141	49	t	t	PROPN
cord-194157-ak2gc3nz	141	50	,	,	PUNCT
cord-194157-ak2gc3nz	141	51	it	it	PRON
cord-194157-ak2gc3nz	141	52	holds	hold	VERB
cord-194157-ak2gc3nz	141	53	that	that	PRON
cord-194157-ak2gc3nz	141	54	v	v	NOUN
cord-194157-ak2gc3nz	141	55	is	be	AUX
cord-194157-ak2gc3nz	141	56	added	add	VERB
cord-194157-ak2gc3nz	141	57	to	to	ADP
cord-194157-ak2gc3nz	141	58	h	h	PROPN
cord-194157-ak2gc3nz	141	59	t	t	PROPN
cord-194157-ak2gc3nz	141	60	at	at	ADP
cord-194157-ak2gc3nz	141	61	unit	unit	NOUN
cord-194157-ak2gc3nz	141	62	rate	rate	NOUN
cord-194157-ak2gc3nz	141	63	.	.	PUNCT
cord-194157-ak2gc3nz	142	1	let	let	VERB
cord-194157-ak2gc3nz	142	2	b	b	PRON
cord-194157-ak2gc3nz	142	3	m	m	VERB
cord-194157-ak2gc3nz	142	4	denote	denote	ADJ
cord-194157-ak2gc3nz	142	5	the	the	DET
cord-194157-ak2gc3nz	142	6	first	first	ADJ
cord-194157-ak2gc3nz	142	7	time	time	NOUN
cord-194157-ak2gc3nz	142	8	at	at	ADP
cord-194157-ak2gc3nz	142	9	which	which	PRON
cord-194157-ak2gc3nz	142	10	a	a	DET
cord-194157-ak2gc3nz	142	11	vertex	vertex	NOUN
cord-194157-ak2gc3nz	142	12	of	of	ADP
cord-194157-ak2gc3nz	142	13	distance	distance	NOUN
cord-194157-ak2gc3nz	142	14	m	m	VERB
cord-194157-ak2gc3nz	142	15	from	from	ADP
cord-194157-ak2gc3nz	142	16	the	the	DET
cord-194157-ak2gc3nz	142	17	root	root	NOUN
cord-194157-ak2gc3nz	142	18	vertex	vertex	NOUN
cord-194157-ak2gc3nz	142	19	of	of	ADP
cord-194157-ak2gc3nz	142	20	g	g	PROPN
cord-194157-ak2gc3nz	142	21	is	be	AUX
cord-194157-ak2gc3nz	142	22	added	add	VERB
cord-194157-ak2gc3nz	142	23	to	to	ADP
cord-194157-ak2gc3nz	142	24	h	h	PROPN
cord-194157-ak2gc3nz	142	25	t	t	PROPN
cord-194157-ak2gc3nz	142	26	.	.	PUNCT
cord-194157-ak2gc3nz	143	1	then	then	ADV
cord-194157-ak2gc3nz	143	2	b	b	X
cord-194157-ak2gc3nz	143	3	m	m	VERB
cord-194157-ak2gc3nz	143	4	≥	≥	NUM
cord-194157-ak2gc3nz	143	5	m/(2ed	m/(2ed	PROPN
cord-194157-ak2gc3nz	143	6	)	)	PUNCT
cord-194157-ak2gc3nz	143	7	with	with	ADP
cord-194157-ak2gc3nz	143	8	probability	probability	NOUN
cord-194157-ak2gc3nz	143	9	≥	≥	NOUN
cord-194157-ak2gc3nz	143	10	1	1	NUM
cord-194157-ak2gc3nz	143	11	−	−	PROPN
cord-194157-ak2gc3nz	143	12	e	e	PROPN
cord-194157-ak2gc3nz	143	13	−m/2	−m/2	X
cord-194157-ak2gc3nz	143	14	.	.	PUNCT
cord-194157-ak2gc3nz	144	1	proof	proof	NOUN
cord-194157-ak2gc3nz	144	2	.	.	PUNCT
cord-194157-ak2gc3nz	145	1	let	let	VERB
cord-194157-ak2gc3nz	145	2	b	b	PROPN
cord-194157-ak2gc3nz	145	3	m	m	PROPN
cord-194157-ak2gc3nz	145	4	,	,	PUNCT
cord-194157-ak2gc3nz	145	5	r	r	X
cord-194157-ak2gc3nz	145	6	denote	denote	VERB
cord-194157-ak2gc3nz	145	7	the	the	DET
cord-194157-ak2gc3nz	145	8	rth	rth	NOUN
cord-194157-ak2gc3nz	145	9	time	time	NOUN
cord-194157-ak2gc3nz	145	10	at	at	ADP
cord-194157-ak2gc3nz	145	11	which	which	PRON
cord-194157-ak2gc3nz	145	12	a	a	DET
cord-194157-ak2gc3nz	145	13	vertex	vertex	NOUN
cord-194157-ak2gc3nz	145	14	of	of	ADP
cord-194157-ak2gc3nz	145	15	distance	distance	NOUN
cord-194157-ak2gc3nz	145	16	m	m	VERB
cord-194157-ak2gc3nz	145	17	from	from	ADP
cord-194157-ak2gc3nz	145	18	the	the	DET
cord-194157-ak2gc3nz	145	19	root	root	NOUN
cord-194157-ak2gc3nz	145	20	vertex	vertex	NOUN
cord-194157-ak2gc3nz	145	21	of	of	ADP
cord-194157-ak2gc3nz	145	22	g	g	PROPN
cord-194157-ak2gc3nz	145	23	is	be	AUX
cord-194157-ak2gc3nz	145	24	added	add	VERB
cord-194157-ak2gc3nz	145	25	to	to	ADP
cord-194157-ak2gc3nz	145	26	h	h	PROPN
cord-194157-ak2gc3nz	145	27	t	t	PROPN
cord-194157-ak2gc3nz	145	28	,	,	PUNCT
cord-194157-ak2gc3nz	145	29	and	and	CCONJ
cord-194157-ak2gc3nz	145	30	note	note	VERB
cord-194157-ak2gc3nz	145	31	that	that	SCONJ
cord-194157-ak2gc3nz	145	32	b	b	PROPN
cord-194157-ak2gc3nz	145	33	m	m	PROPN
cord-194157-ak2gc3nz	145	34	=	=	PROPN
cord-194157-ak2gc3nz	145	35	b	b	NOUN
cord-194157-ak2gc3nz	145	36	m,1	m,1	NOUN
cord-194157-ak2gc3nz	145	37	.	.	PUNCT
cord-194157-ak2gc3nz	146	1	let	let	VERB
cord-194157-ak2gc3nz	146	2	c	c	X
cord-194157-ak2gc3nz	146	3	,	,	PUNCT
cord-194157-ak2gc3nz	146	4	θ	θ	NOUN
cord-194157-ak2gc3nz	146	5	>	>	SYM
cord-194157-ak2gc3nz	146	6	0	0	PUNCT
cord-194157-ak2gc3nz	146	7	be	be	AUX
cord-194157-ak2gc3nz	146	8	given	give	VERB
cord-194157-ak2gc3nz	146	9	(	(	PUNCT
cord-194157-ak2gc3nz	146	10	to	to	PART
cord-194157-ak2gc3nz	146	11	be	be	AUX
cord-194157-ak2gc3nz	146	12	selected	select	VERB
cord-194157-ak2gc3nz	146	13	later	later	ADV
cord-194157-ak2gc3nz	146	14	)	)	PUNCT
cord-194157-ak2gc3nz	146	15	.	.	PUNCT
cord-194157-ak2gc3nz	147	1	then	then	ADV
cord-194157-ak2gc3nz	147	2	markov	markov	PROPN
cord-194157-ak2gc3nz	147	3	's	's	PART
cord-194157-ak2gc3nz	147	4	inequality	inequality	NOUN
cord-194157-ak2gc3nz	147	5	gives	give	VERB
cord-194157-ak2gc3nz	147	6	where	where	SCONJ
cord-194157-ak2gc3nz	147	7	the	the	DET
cord-194157-ak2gc3nz	147	8	last	last	ADJ
cord-194157-ak2gc3nz	147	9	identity	identity	NOUN
cord-194157-ak2gc3nz	147	10	,	,	PUNCT
cord-194157-ak2gc3nz	147	11	which	which	PRON
cord-194157-ak2gc3nz	147	12	appears	appear	VERB
cord-194157-ak2gc3nz	147	13	in	in	ADP
cord-194157-ak2gc3nz	147	14	theorem	theorem	NOUN
cord-194157-ak2gc3nz	147	15	1	1	NUM
cord-194157-ak2gc3nz	147	16	in	in	ADP
cord-194157-ak2gc3nz	147	17	[	[	X
cord-194157-ak2gc3nz	147	18	5	5	NUM
cord-194157-ak2gc3nz	147	19	]	]	PUNCT
cord-194157-ak2gc3nz	147	20	,	,	PUNCT
cord-194157-ak2gc3nz	147	21	follows	follow	VERB
cord-194157-ak2gc3nz	147	22	from	from	ADP
cord-194157-ak2gc3nz	147	23	analyzing	analyze	VERB
cord-194157-ak2gc3nz	147	24	a	a	DET
cord-194157-ak2gc3nz	147	25	certain	certain	ADJ
cord-194157-ak2gc3nz	147	26	martingale	martingale	NOUN
cord-194157-ak2gc3nz	147	27	.	.	PUNCT
cord-194157-ak2gc3nz	148	1	in	in	ADP
cord-194157-ak2gc3nz	148	2	our	our	PRON
cord-194157-ak2gc3nz	148	3	case	case	NOUN
cord-194157-ak2gc3nz	148	4	,	,	PUNCT
cord-194157-ak2gc3nz	148	5	x	x	PROPN
cord-194157-ak2gc3nz	148	6	0	0	PUNCT
cord-194157-ak2gc3nz	148	7	:	:	PUNCT
cord-194157-ak2gc3nz	148	8	=	=	SYM
cord-194157-ak2gc3nz	148	9	b	b	X
cord-194157-ak2gc3nz	148	10	1,1	1,1	NUM
cord-194157-ak2gc3nz	148	11	∼	∼	PROPN
cord-194157-ak2gc3nz	148	12	exp(d	exp(d	NUM
cord-194157-ak2gc3nz	148	13	)	)	PUNCT
cord-194157-ak2gc3nz	148	14	and	and	CCONJ
cord-194157-ak2gc3nz	148	15	x	x	X
cord-194157-ak2gc3nz	148	16	r	r	NOUN
cord-194157-ak2gc3nz	148	17	:	:	PUNCT
cord-194157-ak2gc3nz	148	18	=	=	SYM
cord-194157-ak2gc3nz	148	19	b	b	NOUN
cord-194157-ak2gc3nz	148	20	1,r+1	1,r+1	PROPN
cord-194157-ak2gc3nz	149	1	−	−	PROPN
cord-194157-ak2gc3nz	149	2	b	b	PROPN
cord-194157-ak2gc3nz	149	3	1,r	1,r	NUM
cord-194157-ak2gc3nz	149	4	∼	∼	PUNCT
cord-194157-ak2gc3nz	150	1	exp(d	exp(d	X
cord-194157-ak2gc3nz	150	2	−	−	PROPN
cord-194157-ak2gc3nz	150	3	r	r	NOUN
cord-194157-ak2gc3nz	150	4	)	)	PUNCT
cord-194157-ak2gc3nz	150	5	for	for	ADP
cord-194157-ak2gc3nz	150	6	r	r	PROPN
cord-194157-ak2gc3nz	150	7	∈	∈	PROPN
cord-194157-ak2gc3nz	150	8	{	{	PUNCT
cord-194157-ak2gc3nz	150	9	1	1	NUM
cord-194157-ak2gc3nz	150	10	,	,	PUNCT
cord-194157-ak2gc3nz	150	11	.	.	PUNCT
cord-194157-ak2gc3nz	150	12	.	.	PUNCT
cord-194157-ak2gc3nz	150	13	.	.	PUNCT
cord-194157-ak2gc3nz	151	1	,	,	PUNCT
cord-194157-ak2gc3nz	151	2	d	d	X
cord-194157-ak2gc3nz	151	3	−	−	PROPN
cord-194157-ak2gc3nz	151	4	1	1	NUM
cord-194157-ak2gc3nz	151	5	}	}	PUNCT
cord-194157-ak2gc3nz	151	6	are	be	AUX
cord-194157-ak2gc3nz	151	7	independent	independent	ADJ
cord-194157-ak2gc3nz	151	8	.	.	PUNCT
cord-194157-ak2gc3nz	152	1	it	it	PRON
cord-194157-ak2gc3nz	152	2	follows	follow	VERB
cord-194157-ak2gc3nz	152	3	that	that	SCONJ
cord-194157-ak2gc3nz	152	4	overall	overall	ADJ
cord-194157-ak2gc3nz	152	5	,	,	PUNCT
cord-194157-ak2gc3nz	152	6	selecting	select	VERB
cord-194157-ak2gc3nz	152	7	θ	θ	NOUN
cord-194157-ak2gc3nz	152	8	=	=	SYM
cord-194157-ak2gc3nz	152	9	ed	ed	NOUN
cord-194157-ak2gc3nz	152	10	and	and	CCONJ
cord-194157-ak2gc3nz	152	11	c	c	PROPN
cord-194157-ak2gc3nz	152	12	=	=	SYM
cord-194157-ak2gc3nz	152	13	1/(2ed	1/(2ed	NUM
cord-194157-ak2gc3nz	152	14	)	)	PUNCT
cord-194157-ak2gc3nz	152	15	gives	give	VERB
cord-194157-ak2gc3nz	152	16	the	the	DET
cord-194157-ak2gc3nz	152	17	result	result	NOUN
cord-194157-ak2gc3nz	152	18	.	.	PUNCT
cord-194157-ak2gc3nz	153	1	lemma	lemma	NOUN
cord-194157-ak2gc3nz	153	2	10	10	NUM
cord-194157-ak2gc3nz	153	3	.	.	PUNCT
cord-194157-ak2gc3nz	153	4	suppose	suppose	VERB
cord-194157-ak2gc3nz	153	5	g	g	PROPN
cord-194157-ak2gc3nz	153	6	is	be	AUX
cord-194157-ak2gc3nz	153	7	(	(	PUNCT
cord-194157-ak2gc3nz	153	8	r	r	NOUN
cord-194157-ak2gc3nz	153	9	,	,	PUNCT
cord-194157-ak2gc3nz	153	10	η)-locally	η)-locally	ADV
cord-194157-ak2gc3nz	153	11	tree	tree	NOUN
cord-194157-ak2gc3nz	153	12	-	-	PUNCT
cord-194157-ak2gc3nz	153	13	like	like	ADJ
cord-194157-ak2gc3nz	153	14	,	,	PUNCT
cord-194157-ak2gc3nz	153	15	consider	consider	VERB
cord-194157-ak2gc3nz	153	16	the	the	DET
cord-194157-ak2gc3nz	153	17	sir	sir	PROPN
cord-194157-ak2gc3nz	153	18	process	process	NOUN
cord-194157-ak2gc3nz	153	19	on	on	ADP
cord-194157-ak2gc3nz	153	20	g	g	PROPN
cord-194157-ak2gc3nz	153	21	with	with	ADP
cord-194157-ak2gc3nz	153	22	µ	µ	PROPN
cord-194157-ak2gc3nz	153	23	=	=	NOUN
cord-194157-ak2gc3nz	153	24	0	0	NUM
cord-194157-ak2gc3nz	153	25	,	,	PUNCT
cord-194157-ak2gc3nz	153	26	and	and	CCONJ
cord-194157-ak2gc3nz	153	27	take	take	VERB
cord-194157-ak2gc3nz	153	28	any	any	DET
cord-194157-ak2gc3nz	153	29	t	t	NOUN
cord-194157-ak2gc3nz	153	30	1	1	NUM
cord-194157-ak2gc3nz	153	31	≤	≤	NOUN
cord-194157-ak2gc3nz	154	1	r−2	r−2	ADJ
cord-194157-ak2gc3nz	154	2	2e(d−1)λ	2e(d−1)λ	NUM
cord-194157-ak2gc3nz	154	3	.	.	PUNCT
cord-194157-ak2gc3nz	155	1	then	then	ADV
cord-194157-ak2gc3nz	155	2	p(e	p(e	PROPN
cord-194157-ak2gc3nz	155	3	c	c	X
cord-194157-ak2gc3nz	155	4	1	1	NUM
cord-194157-ak2gc3nz	155	5	|e	|e	PROPN
cord-194157-ak2gc3nz	155	6	0	0	NUM
cord-194157-ak2gc3nz	155	7	)	)	PUNCT
cord-194157-ak2gc3nz	156	1	≤	≤	PROPN
cord-194157-ak2gc3nz	157	1	2e	2e	PROPN
cord-194157-ak2gc3nz	157	2	−(r−2)/2	−(r−2)/2	PROPN
cord-194157-ak2gc3nz	157	3	.	.	PUNCT
cord-194157-ak2gc3nz	158	1	proof	proof	NOUN
cord-194157-ak2gc3nz	158	2	.	.	PUNCT
cord-194157-ak2gc3nz	159	1	by	by	ADP
cord-194157-ak2gc3nz	159	2	time	time	NOUN
cord-194157-ak2gc3nz	159	3	dilation	dilation	NOUN
cord-194157-ak2gc3nz	159	4	,	,	PUNCT
cord-194157-ak2gc3nz	159	5	we	we	PRON
cord-194157-ak2gc3nz	159	6	may	may	AUX
cord-194157-ak2gc3nz	159	7	take	take	VERB
cord-194157-ak2gc3nz	159	8	λ	λ	PROPN
cord-194157-ak2gc3nz	159	9	=	=	SYM
cord-194157-ak2gc3nz	159	10	1	1	NUM
cord-194157-ak2gc3nz	159	11	without	without	ADP
cord-194157-ak2gc3nz	159	12	loss	loss	NOUN
cord-194157-ak2gc3nz	159	13	of	of	ADP
cord-194157-ak2gc3nz	159	14	generality	generality	NOUN
cord-194157-ak2gc3nz	159	15	.	.	PUNCT
cord-194157-ak2gc3nz	160	1	condition	condition	NOUN
cord-194157-ak2gc3nz	160	2	on	on	ADP
cord-194157-ak2gc3nz	160	3	e	e	PROPN
cord-194157-ak2gc3nz	160	4	0	0	NUM
cord-194157-ak2gc3nz	160	5	.	.	PUNCT
cord-194157-ak2gc3nz	161	1	after	after	ADP
cord-194157-ak2gc3nz	161	2	time	time	NOUN
cord-194157-ak2gc3nz	161	3	t	t	PROPN
cord-194157-ak2gc3nz	161	4	∼	∼	PROPN
cord-194157-ak2gc3nz	161	5	exp(d	exp(d	NUM
cord-194157-ak2gc3nz	161	6	)	)	PUNCT
cord-194157-ak2gc3nz	161	7	,	,	PUNCT
cord-194157-ak2gc3nz	161	8	there	there	PRON
cord-194157-ak2gc3nz	161	9	are	be	VERB
cord-194157-ak2gc3nz	161	10	two	two	NUM
cord-194157-ak2gc3nz	161	11	infected	infect	VERB
cord-194157-ak2gc3nz	161	12	vertices	vertex	NOUN
cord-194157-ak2gc3nz	161	13	u	u	PROPN
cord-194157-ak2gc3nz	161	14	and	and	CCONJ
cord-194157-ak2gc3nz	161	15	v.	v.	ADP
cord-194157-ak2gc3nz	161	16	removing	remove	VERB
cord-194157-ak2gc3nz	161	17	the	the	DET
cord-194157-ak2gc3nz	161	18	edge	edge	NOUN
cord-194157-ak2gc3nz	161	19	{	{	PUNCT
cord-194157-ak2gc3nz	161	20	u	u	NOUN
cord-194157-ak2gc3nz	161	21	,	,	PUNCT
cord-194157-ak2gc3nz	161	22	v	v	NOUN
cord-194157-ak2gc3nz	161	23	}	}	PUNCT
cord-194157-ak2gc3nz	161	24	from	from	ADP
cord-194157-ak2gc3nz	161	25	h	h	PROPN
cord-194157-ak2gc3nz	161	26	produces	produce	VERB
cord-194157-ak2gc3nz	161	27	two	two	NUM
cord-194157-ak2gc3nz	161	28	(	(	PUNCT
cord-194157-ak2gc3nz	161	29	d	d	NOUN
cord-194157-ak2gc3nz	161	30	−	−	X
cord-194157-ak2gc3nz	161	31	1)-ary	1)-ary	ADJ
cord-194157-ak2gc3nz	161	32	trees	tree	NOUN
cord-194157-ak2gc3nz	161	33	,	,	PUNCT
cord-194157-ak2gc3nz	161	34	with	with	ADP
cord-194157-ak2gc3nz	161	35	root	root	NOUN
cord-194157-ak2gc3nz	161	36	vertices	vertex	NOUN
cord-194157-ak2gc3nz	161	37	u	u	PRON
cord-194157-ak2gc3nz	161	38	and	and	CCONJ
cord-194157-ak2gc3nz	161	39	v.	v.	NOUN
cord-194157-ak2gc3nz	161	40	extend	extend	VERB
cord-194157-ak2gc3nz	161	41	these	these	DET
cord-194157-ak2gc3nz	161	42	trees	tree	NOUN
cord-194157-ak2gc3nz	161	43	to	to	ADP
cord-194157-ak2gc3nz	161	44	infinite	infinite	VERB
cord-194157-ak2gc3nz	161	45	(	(	PUNCT
cord-194157-ak2gc3nz	161	46	d−1)-ary	d−1)-ary	ADJ
cord-194157-ak2gc3nz	161	47	trees	tree	NOUN
cord-194157-ak2gc3nz	161	48	h	h	NUM
cord-194157-ak2gc3nz	161	49	u	u	NOUN
cord-194157-ak2gc3nz	161	50	and	and	CCONJ
cord-194157-ak2gc3nz	161	51	h	h	NUM
cord-194157-ak2gc3nz	161	52	v	v	NOUN
cord-194157-ak2gc3nz	161	53	.	.	PUNCT
cord-194157-ak2gc3nz	162	1	let	let	VERB
cord-194157-ak2gc3nz	162	2	b	b	PROPN
cord-194157-ak2gc3nz	162	3	u	u	PRON
cord-194157-ak2gc3nz	162	4	denote	denote	VERB
cord-194157-ak2gc3nz	162	5	the	the	DET
cord-194157-ak2gc3nz	162	6	first	first	ADJ
cord-194157-ak2gc3nz	162	7	time	time	NOUN
cord-194157-ak2gc3nz	162	8	at	at	ADP
cord-194157-ak2gc3nz	162	9	which	which	PRON
cord-194157-ak2gc3nz	162	10	a	a	DET
cord-194157-ak2gc3nz	162	11	vertex	vertex	NOUN
cord-194157-ak2gc3nz	162	12	of	of	ADP
cord-194157-ak2gc3nz	162	13	distance	distance	NOUN
cord-194157-ak2gc3nz	162	14	r	r	NOUN
cord-194157-ak2gc3nz	162	15	−	−	PROPN
cord-194157-ak2gc3nz	162	16	2	2	NUM
cord-194157-ak2gc3nz	162	17	from	from	ADP
cord-194157-ak2gc3nz	162	18	the	the	DET
cord-194157-ak2gc3nz	162	19	root	root	NOUN
cord-194157-ak2gc3nz	162	20	vertex	vertex	NOUN
cord-194157-ak2gc3nz	162	21	is	be	AUX
cord-194157-ak2gc3nz	162	22	infected	infect	VERB
cord-194157-ak2gc3nz	162	23	in	in	ADP
cord-194157-ak2gc3nz	162	24	h	h	PROPN
cord-194157-ak2gc3nz	162	25	u	u	NOUN
cord-194157-ak2gc3nz	162	26	,	,	PUNCT
cord-194157-ak2gc3nz	162	27	and	and	CCONJ
cord-194157-ak2gc3nz	162	28	similarly	similarly	ADV
cord-194157-ak2gc3nz	162	29	for	for	ADP
cord-194157-ak2gc3nz	162	30	b	b	PROPN
cord-194157-ak2gc3nz	162	31	v	v	NOUN
cord-194157-ak2gc3nz	162	32	.	.	PUNCT
cord-194157-ak2gc3nz	163	1	then	then	ADV
cord-194157-ak2gc3nz	163	2	by	by	ADP
cord-194157-ak2gc3nz	163	3	assumption	assumption	NOUN
cord-194157-ak2gc3nz	163	4	on	on	ADP
cord-194157-ak2gc3nz	163	5	t	t	PROPN
cord-194157-ak2gc3nz	163	6	1	1	NUM
cord-194157-ak2gc3nz	163	7	,	,	PUNCT
cord-194157-ak2gc3nz	163	8	we	we	PRON
cord-194157-ak2gc3nz	163	9	have	have	AUX
cord-194157-ak2gc3nz	163	10	finally	finally	ADV
cord-194157-ak2gc3nz	163	11	,	,	PUNCT
cord-194157-ak2gc3nz	163	12	we	we	PRON
cord-194157-ak2gc3nz	163	13	apply	apply	VERB
cord-194157-ak2gc3nz	163	14	the	the	DET
cord-194157-ak2gc3nz	163	15	union	union	NOUN
cord-194157-ak2gc3nz	163	16	bound	bind	VERB
cord-194157-ak2gc3nz	163	17	and	and	CCONJ
cord-194157-ak2gc3nz	163	18	lemma	lemma	NOUN
cord-194157-ak2gc3nz	163	19	9	9	NUM
cord-194157-ak2gc3nz	163	20	to	to	PART
cord-194157-ak2gc3nz	163	21	get	get	VERB
cord-194157-ak2gc3nz	163	22	overall	overall	ADJ
cord-194157-ak2gc3nz	163	23	,	,	PUNCT
cord-194157-ak2gc3nz	163	24	(	(	PUNCT
cord-194157-ak2gc3nz	163	25	5	5	NUM
cord-194157-ak2gc3nz	163	26	)	)	PUNCT
cord-194157-ak2gc3nz	163	27	and	and	CCONJ
cord-194157-ak2gc3nz	163	28	lemma	lemma	NOUN
cord-194157-ak2gc3nz	163	29	10	10	NUM
cord-194157-ak2gc3nz	163	30	together	together	ADV
cord-194157-ak2gc3nz	163	31	give	give	VERB
cord-194157-ak2gc3nz	163	32	p(e	p(e	PROPN
cord-194157-ak2gc3nz	163	33	c	c	PROPN
cord-194157-ak2gc3nz	163	34	1	1	NUM
cord-194157-ak2gc3nz	163	35	|e	|e	PROPN
cord-194157-ak2gc3nz	163	36	0	0	NUM
cord-194157-ak2gc3nz	163	37	∩	∩	PROPN
cord-194157-ak2gc3nz	163	38	e	e	X
cord-194157-ak2gc3nz	163	39	∞	∞	PROPN
cord-194157-ak2gc3nz	163	40	)	)	PUNCT
cord-194157-ak2gc3nz	163	41	=	=	NOUN
cord-194157-ak2gc3nz	163	42	o(1	o(1	X
cord-194157-ak2gc3nz	163	43	)	)	PUNCT
cord-194157-ak2gc3nz	163	44	.	.	PUNCT
cord-194157-ak2gc3nz	164	1	next	next	ADV
cord-194157-ak2gc3nz	164	2	,	,	PUNCT
cord-194157-ak2gc3nz	164	3	we	we	PRON
cord-194157-ak2gc3nz	164	4	may	may	AUX
cord-194157-ak2gc3nz	164	5	combine	combine	VERB
cord-194157-ak2gc3nz	164	6	this	this	PRON
cord-194157-ak2gc3nz	164	7	bound	bind	VERB
cord-194157-ak2gc3nz	164	8	with	with	ADP
cord-194157-ak2gc3nz	164	9	(	(	PUNCT
cord-194157-ak2gc3nz	164	10	3	3	NUM
cord-194157-ak2gc3nz	164	11	)	)	PUNCT
cord-194157-ak2gc3nz	164	12	to	to	ADP
cord-194157-ak2gc3nz	164	13	bound	bind	VERB
cord-194157-ak2gc3nz	164	14	the	the	DET
cord-194157-ak2gc3nz	164	15	second	second	ADJ
cord-194157-ak2gc3nz	164	16	term	term	NOUN
cord-194157-ak2gc3nz	164	17	in	in	ADP
cord-194157-ak2gc3nz	164	18	(	(	PUNCT
cord-194157-ak2gc3nz	164	19	4	4	NUM
cord-194157-ak2gc3nz	164	20	):	):	PUNCT
cord-194157-ak2gc3nz	164	21	(	(	PUNCT
cord-194157-ak2gc3nz	164	22	1	1	NUM
cord-194157-ak2gc3nz	164	23	)	)	PUNCT
cord-194157-ak2gc3nz	164	24	.	.	PUNCT
cord-194157-ak2gc3nz	165	1	to	to	ADP
cord-194157-ak2gc3nz	165	2	this	this	DET
cord-194157-ak2gc3nz	165	3	end	end	NOUN
cord-194157-ak2gc3nz	165	4	,	,	PUNCT
cord-194157-ak2gc3nz	165	5	it	it	PRON
cord-194157-ak2gc3nz	165	6	is	be	AUX
cord-194157-ak2gc3nz	165	7	convenient	convenient	ADJ
cord-194157-ak2gc3nz	165	8	to	to	PART
cord-194157-ak2gc3nz	165	9	consider	consider	VERB
cord-194157-ak2gc3nz	165	10	the	the	DET
cord-194157-ak2gc3nz	165	11	stopping	stopping	NOUN
cord-194157-ak2gc3nz	165	12	time	time	NOUN
cord-194157-ak2gc3nz	165	13	t	t	NOUN
cord-194157-ak2gc3nz	165	14	0	0	PUNCT
cord-194157-ak2gc3nz	165	15	:	:	PUNCT
cord-194157-ak2gc3nz	165	16	=	=	SYM
cord-194157-ak2gc3nz	165	17	inf{t	inf{t	X
cord-194157-ak2gc3nz	165	18	:	:	PUNCT
cord-194157-ak2gc3nz	165	19	t	t	NOUN
cord-194157-ak2gc3nz	165	20	0	0	PUNCT
cord-194157-ak2gc3nz	165	21	and	and	CCONJ
cord-194157-ak2gc3nz	165	22	c	c	X
cord-194157-ak2gc3nz	165	23	<	<	X
cord-194157-ak2gc3nz	165	24	1	1	NUM
cord-194157-ak2gc3nz	165	25	,	,	PUNCT
cord-194157-ak2gc3nz	165	26	it	it	PRON
cord-194157-ak2gc3nz	165	27	follows	follow	VERB
cord-194157-ak2gc3nz	165	28	that	that	SCONJ
cord-194157-ak2gc3nz	165	29	next	next	ADV
cord-194157-ak2gc3nz	165	30	,	,	PUNCT
cord-194157-ak2gc3nz	165	31	our	our	PRON
cord-194157-ak2gc3nz	165	32	assumptions	assumption	NOUN
cord-194157-ak2gc3nz	165	33	that	that	SCONJ
cord-194157-ak2gc3nz	165	34	α	α	X
cord-194157-ak2gc3nz	165	35	<	<	X
cord-194157-ak2gc3nz	165	36	c	c	PUNCT
cord-194157-ak2gc3nz	165	37	2e(d−1)λ	2e(d−1)λ	NUM
cord-194157-ak2gc3nz	165	38	,	,	PUNCT
cord-194157-ak2gc3nz	165	39	(	(	PUNCT
cord-194157-ak2gc3nz	165	40	d	d	NOUN
cord-194157-ak2gc3nz	165	41	−	−	PROPN
cord-194157-ak2gc3nz	165	42	2)λ	2)λ	NUM
cord-194157-ak2gc3nz	165	43	>	>	SYM
cord-194157-ak2gc3nz	165	44	µ	µ	PROPN
cord-194157-ak2gc3nz	165	45	,	,	PUNCT
cord-194157-ak2gc3nz	165	46	and	and	CCONJ
cord-194157-ak2gc3nz	165	47	c	c	X
cord-194157-ak2gc3nz	165	48	<	<	X
cord-194157-ak2gc3nz	165	49	1	1	NUM
cord-194157-ak2gc3nz	165	50	together	together	ADV
cord-194157-ak2gc3nz	165	51	imply	imply	VERB
cord-194157-ak2gc3nz	165	52	from	from	ADP
cord-194157-ak2gc3nz	165	53	which	which	PRON
cord-194157-ak2gc3nz	165	54	it	it	PRON
cord-194157-ak2gc3nz	165	55	follows	follow	VERB
cord-194157-ak2gc3nz	165	56	that	that	SCONJ
cord-194157-ak2gc3nz	165	57	k	k	PROPN
cord-194157-ak2gc3nz	165	58	<	<	X
cord-194157-ak2gc3nz	165	59	r.	r.	PROPN
cord-194157-ak2gc3nz	165	60	on	on	ADP
cord-194157-ak2gc3nz	165	61	the	the	DET
cord-194157-ak2gc3nz	165	62	event	event	NOUN
cord-194157-ak2gc3nz	165	63	e	e	PROPN
cord-194157-ak2gc3nz	165	64	∞	∞	PROPN
cord-194157-ak2gc3nz	165	65	,	,	PUNCT
cord-194157-ak2gc3nz	165	66	it	it	PRON
cord-194157-ak2gc3nz	165	67	holds	hold	VERB
cord-194157-ak2gc3nz	165	68	that	that	SCONJ
cord-194157-ak2gc3nz	165	69	u	u	PROPN
cord-194157-ak2gc3nz	165	70	(	(	PUNCT
cord-194157-ak2gc3nz	165	71	∞	∞	NUM
cord-194157-ak2gc3nz	165	72	)	)	PUNCT
cord-194157-ak2gc3nz	165	73	induces	induce	VERB
cord-194157-ak2gc3nz	165	74	a	a	DET
cord-194157-ak2gc3nz	165	75	tree	tree	NOUN
cord-194157-ak2gc3nz	165	76	that	that	PRON
cord-194157-ak2gc3nz	165	77	contains	contain	VERB
cord-194157-ak2gc3nz	165	78	a	a	DET
cord-194157-ak2gc3nz	165	79	path	path	NOUN
cord-194157-ak2gc3nz	165	80	of	of	ADP
cord-194157-ak2gc3nz	165	81	length	length	NOUN
cord-194157-ak2gc3nz	165	82	greater	great	ADJ
cord-194157-ak2gc3nz	165	83	than	than	ADP
cord-194157-ak2gc3nz	165	84	r	r	NOUN
cord-194157-ak2gc3nz	165	85	,	,	PUNCT
cord-194157-ak2gc3nz	165	86	from	from	ADP
cord-194157-ak2gc3nz	165	87	which	which	PRON
cord-194157-ak2gc3nz	165	88	is	be	AUX
cord-194157-ak2gc3nz	165	89	follows	follow	VERB
cord-194157-ak2gc3nz	165	90	that	that	SCONJ
cord-194157-ak2gc3nz	165	91	|u	|u	ADJ
cord-194157-ak2gc3nz	165	92	(	(	PUNCT
cord-194157-ak2gc3nz	165	93	∞)|	∞)|	PROPN
cord-194157-ak2gc3nz	165	94	>	>	X
cord-194157-ak2gc3nz	165	95	r.	r.	PROPN
cord-194157-ak2gc3nz	165	96	as	as	ADP
cord-194157-ak2gc3nz	165	97	such	such	ADJ
cord-194157-ak2gc3nz	165	98	,	,	PUNCT
cord-194157-ak2gc3nz	165	99	this	this	PRON
cord-194157-ak2gc3nz	165	100	allows	allow	VERB
cord-194157-ak2gc3nz	165	101	us	we	PRON
cord-194157-ak2gc3nz	165	102	to	to	PART
cord-194157-ak2gc3nz	165	103	continue	continue	VERB
cord-194157-ak2gc3nz	165	104	(	(	PUNCT
cord-194157-ak2gc3nz	165	105	7	7	NUM
cord-194157-ak2gc3nz	165	106	):	):	PUNCT
cord-194157-ak2gc3nz	165	107	to	to	PART
cord-194157-ak2gc3nz	165	108	continue	continue	VERB
cord-194157-ak2gc3nz	165	109	,	,	PUNCT
cord-194157-ak2gc3nz	165	110	we	we	PRON
cord-194157-ak2gc3nz	165	111	show	show	VERB
cord-194157-ak2gc3nz	165	112	that	that	SCONJ
cord-194157-ak2gc3nz	165	113	p	p	PROPN
cord-194157-ak2gc3nz	165	114	(	(	PUNCT
cord-194157-ak2gc3nz	165	115	proof	proof	NOUN
cord-194157-ak2gc3nz	165	116	.	.	PUNCT
cord-194157-ak2gc3nz	166	1	the	the	DET
cord-194157-ak2gc3nz	166	2	random	random	ADJ
cord-194157-ak2gc3nz	166	3	number	number	NOUN
cord-194157-ak2gc3nz	166	4	n	n	NOUN
cord-194157-ak2gc3nz	166	5	of	of	ADP
cord-194157-ak2gc3nz	166	6	transitions	transition	NOUN
cord-194157-ak2gc3nz	166	7	that	that	PRON
cord-194157-ak2gc3nz	166	8	occur	occur	VERB
cord-194157-ak2gc3nz	166	9	over	over	ADP
cord-194157-ak2gc3nz	166	10	the	the	DET
cord-194157-ak2gc3nz	166	11	interval	interval	NOUN
cord-194157-ak2gc3nz	166	12	(	(	PUNCT
cord-194157-ak2gc3nz	166	13	0	0	NUM
cord-194157-ak2gc3nz	166	14	,	,	PUNCT
cord-194157-ak2gc3nz	166	15	t	t	NOUN
cord-194157-ak2gc3nz	166	16	0	0	PUNCT
cord-194157-ak2gc3nz	166	17	]	]	PUNCT
cord-194157-ak2gc3nz	166	18	is	be	AUX
cord-194157-ak2gc3nz	166	19	given	give	VERB
cord-194157-ak2gc3nz	166	20	by	by	ADP
cord-194157-ak2gc3nz	166	21	conditioned	condition	VERB
cord-194157-ak2gc3nz	166	22	on	on	ADP
cord-194157-ak2gc3nz	166	23	the	the	DET
cord-194157-ak2gc3nz	166	24	sequence	sequence	NOUN
cord-194157-ak2gc3nz	166	25	of	of	ADP
cord-194157-ak2gc3nz	166	26	states	state	NOUN
cord-194157-ak2gc3nz	166	27	of	of	ADP
cord-194157-ak2gc3nz	166	28	the	the	DET
cord-194157-ak2gc3nz	166	29	discrete	discrete	ADJ
cord-194157-ak2gc3nz	166	30	time	time	NOUN
cord-194157-ak2gc3nz	166	31	markov	markov	PROPN
cord-194157-ak2gc3nz	166	32	chain	chain	PROPN
cord-194157-ak2gc3nz	166	33	{	{	PUNCT
cord-194157-ak2gc3nz	166	34	m	m	VERB
cord-194157-ak2gc3nz	166	35	n	n	ADV
cord-194157-ak2gc3nz	166	36	}	}	PUNCT
cord-194157-ak2gc3nz	166	37	n≥0	n≥0	PROPN
cord-194157-ak2gc3nz	166	38	,	,	PUNCT
cord-194157-ak2gc3nz	166	39	the	the	DET
cord-194157-ak2gc3nz	166	40	transition	transition	NOUN
cord-194157-ak2gc3nz	166	41	times	time	NOUN
cord-194157-ak2gc3nz	166	42	{	{	PUNCT
cord-194157-ak2gc3nz	166	43	x	x	NOUN
cord-194157-ak2gc3nz	166	44	n	n	ADP
cord-194157-ak2gc3nz	166	45	}	}	PUNCT
cord-194157-ak2gc3nz	166	46	n≥1	n≥1	PROPN
cord-194157-ak2gc3nz	166	47	are	be	AUX
cord-194157-ak2gc3nz	166	48	independent	independent	ADJ
cord-194157-ak2gc3nz	166	49	and	and	CCONJ
cord-194157-ak2gc3nz	166	50	exponentially	exponentially	ADV
cord-194157-ak2gc3nz	166	51	distributed	distribute	VERB
cord-194157-ak2gc3nz	166	52	with	with	ADP
cord-194157-ak2gc3nz	166	53	(	(	PUNCT
cord-194157-ak2gc3nz	166	54	deterministic	deterministic	ADJ
cord-194157-ak2gc3nz	166	55	)	)	PUNCT
cord-194157-ak2gc3nz	166	56	parameters	parameter	NOUN
cord-194157-ak2gc3nz	166	57	λe(i	λe(i	PUNCT
cord-194157-ak2gc3nz	166	58	n	n	ADV
cord-194157-ak2gc3nz	166	59	,	,	PUNCT
cord-194157-ak2gc3nz	166	60	s	s	PROPN
cord-194157-ak2gc3nz	166	61	n	n	NOUN
cord-194157-ak2gc3nz	166	62	)	)	PUNCT
cord-194157-ak2gc3nz	166	63	+	+	VERB
cord-194157-ak2gc3nz	166	64	µ|i	µ|i	NOUN
cord-194157-ak2gc3nz	166	65	n	n	NOUN
cord-194157-ak2gc3nz	166	66	|	|	NOUN
cord-194157-ak2gc3nz	166	67	.	.	PUNCT
cord-194157-ak2gc3nz	167	1	for	for	ADP
cord-194157-ak2gc3nz	167	2	any	any	DET
cord-194157-ak2gc3nz	167	3	sequence	sequence	NOUN
cord-194157-ak2gc3nz	167	4	of	of	ADP
cord-194157-ak2gc3nz	167	5	states	state	NOUN
cord-194157-ak2gc3nz	167	6	in	in	ADP
cord-194157-ak2gc3nz	167	7	the	the	DET
cord-194157-ak2gc3nz	167	8	event	event	NOUN
cord-194157-ak2gc3nz	167	9	{	{	PUNCT
cord-194157-ak2gc3nz	167	10	t	t	NOUN
cord-194157-ak2gc3nz	167	11	0	0	NUM
cord-194157-ak2gc3nz	167	12	<	<	X
cord-194157-ak2gc3nz	167	13	∞	∞	NUM
cord-194157-ak2gc3nz	167	14	}	}	PUNCT
cord-194157-ak2gc3nz	167	15	,	,	PUNCT
cord-194157-ak2gc3nz	167	16	the	the	DET
cord-194157-ak2gc3nz	167	17	first	first	ADJ
cord-194157-ak2gc3nz	167	18	n	n	NOUN
cord-194157-ak2gc3nz	167	19	of	of	ADP
cord-194157-ak2gc3nz	167	20	these	these	DET
cord-194157-ak2gc3nz	167	21	parameters	parameter	NOUN
cord-194157-ak2gc3nz	167	22	are	be	AUX
cord-194157-ak2gc3nz	167	23	all	all	PRON
cord-194157-ak2gc3nz	167	24	at	at	ADV
cord-194157-ak2gc3nz	167	25	least	least	ADJ
cord-194157-ak2gc3nz	167	26	µ	µ	NOUN
cord-194157-ak2gc3nz	167	27	+	+	X
cord-194157-ak2gc3nz	167	28	λ	λ	NOUN
cord-194157-ak2gc3nz	167	29	.	.	PUNCT
cord-194157-ak2gc3nz	168	1	put	put	VERB
cord-194157-ak2gc3nz	168	2	e	e	PROPN
cord-194157-ak2gc3nz	168	3	:	:	PUNCT
cord-194157-ak2gc3nz	168	4	=	=	VERB
cord-194157-ak2gc3nz	168	5	{	{	PUNCT
cord-194157-ak2gc3nz	168	6	t	t	NOUN
cord-194157-ak2gc3nz	168	7	0	0	NUM
cord-194157-ak2gc3nz	168	8	<	<	X
cord-194157-ak2gc3nz	168	9	∞	∞	NUM
cord-194157-ak2gc3nz	168	10	}	}	PUNCT
cord-194157-ak2gc3nz	168	11	and	and	CCONJ
cord-194157-ak2gc3nz	168	12	denote	denote	X
cord-194157-ak2gc3nz	168	13	p	p	PROPN
cord-194157-ak2gc3nz	168	14	e	e	PROPN
cord-194157-ak2gc3nz	168	15	(	(	PUNCT
cord-194157-ak2gc3nz	168	16	a	a	PRON
cord-194157-ak2gc3nz	168	17	)	)	PUNCT
cord-194157-ak2gc3nz	168	18	:	:	PUNCT
cord-194157-ak2gc3nz	168	19	=	=	NOUN
cord-194157-ak2gc3nz	168	20	p(a|e	p(a|e	PROPN
cord-194157-ak2gc3nz	168	21	)	)	PUNCT
cord-194157-ak2gc3nz	168	22	.	.	PUNCT
cord-194157-ak2gc3nz	169	1	then	then	ADV
cord-194157-ak2gc3nz	169	2	put	put	VERB
cord-194157-ak2gc3nz	169	3	t	t	NOUN
cord-194157-ak2gc3nz	169	4	0	0	NUM
cord-194157-ak2gc3nz	169	5	:	:	PUNCT
cord-194157-ak2gc3nz	169	6	=	=	NOUN
cord-194157-ak2gc3nz	169	7	4k	4k	NOUN
cord-194157-ak2gc3nz	169	8	µ+λ	µ+λ	X
cord-194157-ak2gc3nz	169	9	.	.	PUNCT
cord-194157-ak2gc3nz	170	1	conditioning	condition	VERB
cord-194157-ak2gc3nz	170	2	on	on	ADP
cord-194157-ak2gc3nz	170	3	n	n	ADV
cord-194157-ak2gc3nz	170	4	,	,	PUNCT
cord-194157-ak2gc3nz	170	5	we	we	PRON
cord-194157-ak2gc3nz	170	6	may	may	AUX
cord-194157-ak2gc3nz	170	7	apply	apply	VERB
cord-194157-ak2gc3nz	170	8	bernstein	bernstein	PROPN
cord-194157-ak2gc3nz	170	9	's	's	PART
cord-194157-ak2gc3nz	170	10	inequality	inequality	NOUN
cord-194157-ak2gc3nz	170	11	for	for	ADP
cord-194157-ak2gc3nz	170	12	subexponential	subexponential	ADJ
cord-194157-ak2gc3nz	170	13	random	random	ADJ
cord-194157-ak2gc3nz	170	14	variables	variable	NOUN
cord-194157-ak2gc3nz	170	15	(	(	PUNCT
cord-194157-ak2gc3nz	170	16	see	see	VERB
cord-194157-ak2gc3nz	170	17	theorem	theorem	NOUN
cord-194157-ak2gc3nz	170	18	2.8.1	2.8.1	NUM
cord-194157-ak2gc3nz	170	19	in	in	ADP
cord-194157-ak2gc3nz	170	20	[	[	X
cord-194157-ak2gc3nz	170	21	7	7	NUM
cord-194157-ak2gc3nz	170	22	]	]	PUNCT
cord-194157-ak2gc3nz	170	23	)	)	PUNCT
cord-194157-ak2gc3nz	170	24	.	.	PUNCT
cord-194157-ak2gc3nz	171	1	in	in	ADP
cord-194157-ak2gc3nz	171	2	particular	particular	ADJ
cord-194157-ak2gc3nz	171	3	,	,	PUNCT
cord-194157-ak2gc3nz	171	4	we	we	PRON
cord-194157-ak2gc3nz	171	5	let	let	VERB
cord-194157-ak2gc3nz	171	6	c	c	X
cord-194157-ak2gc3nz	171	7	>	>	X
cord-194157-ak2gc3nz	171	8	0	0	PUNCT
cord-194157-ak2gc3nz	172	1	denote	denote	VERB
cord-194157-ak2gc3nz	172	2	a	a	DET
cord-194157-ak2gc3nz	172	3	universal	universal	ADJ
cord-194157-ak2gc3nz	172	4	constant	constant	ADJ
cord-194157-ak2gc3nz	172	5	such	such	ADJ
cord-194157-ak2gc3nz	172	6	that	that	SCONJ
cord-194157-ak2gc3nz	172	7	any	any	DET
cord-194157-ak2gc3nz	172	8	random	random	ADJ
cord-194157-ak2gc3nz	172	9	variable	variable	NOUN
cord-194157-ak2gc3nz	172	10	of	of	ADP
cord-194157-ak2gc3nz	172	11	the	the	DET
cord-194157-ak2gc3nz	172	12	form	form	NOUN
cord-194157-ak2gc3nz	172	13	x	x	SYM
cord-194157-ak2gc3nz	172	14	∼	∼	PROPN
cord-194157-ak2gc3nz	172	15	exp(λ	exp(λ	PROPN
cord-194157-ak2gc3nz	172	16	)	)	PUNCT
cord-194157-ak2gc3nz	172	17	satisfies	satisfies	PROPN
cord-194157-ak2gc3nz	172	18	x	x	PROPN
cord-194157-ak2gc3nz	172	19	−	−	PROPN
cord-194157-ak2gc3nz	172	20	ex	ex	PROPN
cord-194157-ak2gc3nz	172	21	ψ	ψ	PROPN
cord-194157-ak2gc3nz	172	22	1	1	NUM
cord-194157-ak2gc3nz	172	23	≤	≤	NOUN
cord-194157-ak2gc3nz	173	1	c	c	X
cord-194157-ak2gc3nz	174	1	λ	λ	INTJ
cord-194157-ak2gc3nz	174	2	.	.	PUNCT
cord-194157-ak2gc3nz	175	1	then	then	ADV
cord-194157-ak2gc3nz	175	2	where	where	SCONJ
cord-194157-ak2gc3nz	175	3	the	the	DET
cord-194157-ak2gc3nz	175	4	last	last	ADJ
cord-194157-ak2gc3nz	175	5	step	step	NOUN
cord-194157-ak2gc3nz	175	6	applies	apply	VERB
cord-194157-ak2gc3nz	175	7	the	the	DET
cord-194157-ak2gc3nz	175	8	bound	bind	VERB
cord-194157-ak2gc3nz	175	9	n	n	NOUN
cord-194157-ak2gc3nz	175	10	≤	≤	PROPN
cord-194157-ak2gc3nz	175	11	2k	2k	NUM
cord-194157-ak2gc3nz	175	12	and	and	CCONJ
cord-194157-ak2gc3nz	175	13	c	c	NOUN
cord-194157-ak2gc3nz	175	14	1	1	NUM
cord-194157-ak2gc3nz	175	15	:	:	PUNCT
cord-194157-ak2gc3nz	175	16	=	=	SYM
cord-194157-ak2gc3nz	175	17	2c	2c	X
cord-194157-ak2gc3nz	175	18	max(c	max(c	PROPN
cord-194157-ak2gc3nz	175	19	2	2	NUM
cord-194157-ak2gc3nz	175	20	,	,	PUNCT
cord-194157-ak2gc3nz	175	21	c	c	NOUN
cord-194157-ak2gc3nz	175	22	)	)	PUNCT
cord-194157-ak2gc3nz	175	23	.	.	PUNCT
cord-194157-ak2gc3nz	176	1	overall	overall	ADV
cord-194157-ak2gc3nz	176	2	,	,	PUNCT
cord-194157-ak2gc3nz	176	3	(	(	PUNCT
cord-194157-ak2gc3nz	176	4	6	6	NUM
cord-194157-ak2gc3nz	176	5	)	)	PUNCT
cord-194157-ak2gc3nz	176	6	,	,	PUNCT
cord-194157-ak2gc3nz	176	7	(	(	PUNCT
cord-194157-ak2gc3nz	176	8	8)	8)	NUM
cord-194157-ak2gc3nz	176	9	and	and	CCONJ
cord-194157-ak2gc3nz	176	10	lemma	lemma	NOUN
cord-194157-ak2gc3nz	176	11	11	11	NUM
cord-194157-ak2gc3nz	176	12	together	together	ADV
cord-194157-ak2gc3nz	176	13	give	give	VERB
cord-194157-ak2gc3nz	176	14	that	that	SCONJ
cord-194157-ak2gc3nz	176	15	the	the	DET
cord-194157-ak2gc3nz	176	16	second	second	ADJ
cord-194157-ak2gc3nz	176	17	term	term	NOUN
cord-194157-ak2gc3nz	176	18	in	in	ADP
cord-194157-ak2gc3nz	176	19	(	(	PUNCT
cord-194157-ak2gc3nz	176	20	4	4	NUM
cord-194157-ak2gc3nz	176	21	)	)	PUNCT
cord-194157-ak2gc3nz	176	22	is	be	AUX
cord-194157-ak2gc3nz	176	23	o	o	PROPN
cord-194157-ak2gc3nz	176	24	(	(	PUNCT
cord-194157-ak2gc3nz	176	25	1	1	NUM
cord-194157-ak2gc3nz	176	26	)	)	PUNCT
cord-194157-ak2gc3nz	176	27	.	.	PUNCT
cord-194157-ak2gc3nz	177	1	it	it	PRON
cord-194157-ak2gc3nz	177	2	remains	remain	VERB
cord-194157-ak2gc3nz	177	3	to	to	PART
cord-194157-ak2gc3nz	177	4	show	show	VERB
cord-194157-ak2gc3nz	177	5	that	that	SCONJ
cord-194157-ak2gc3nz	177	6	the	the	DET
cord-194157-ak2gc3nz	177	7	first	first	ADJ
cord-194157-ak2gc3nz	177	8	term	term	NOUN
cord-194157-ak2gc3nz	177	9	in	in	ADP
cord-194157-ak2gc3nz	177	10	(	(	PUNCT
cord-194157-ak2gc3nz	177	11	4	4	NUM
cord-194157-ak2gc3nz	177	12	)	)	PUNCT
cord-194157-ak2gc3nz	177	13	is	be	AUX
cord-194157-ak2gc3nz	177	14	o	o	PROPN
cord-194157-ak2gc3nz	177	15	(	(	PUNCT
cord-194157-ak2gc3nz	177	16	1	1	NUM
cord-194157-ak2gc3nz	177	17	)	)	PUNCT
cord-194157-ak2gc3nz	177	18	.	.	PUNCT
cord-194157-ak2gc3nz	178	1	to	to	ADP
cord-194157-ak2gc3nz	178	2	this	this	DET
cord-194157-ak2gc3nz	178	3	end	end	NOUN
cord-194157-ak2gc3nz	178	4	,	,	PUNCT
cord-194157-ak2gc3nz	178	5	we	we	PRON
cord-194157-ak2gc3nz	178	6	first	first	ADV
cord-194157-ak2gc3nz	178	7	show	show	VERB
cord-194157-ak2gc3nz	178	8	that	that	SCONJ
cord-194157-ak2gc3nz	178	9	p	p	X
cord-194157-ak2gc3nz	178	10	(	(	PUNCT
cord-194157-ak2gc3nz	178	11	where	where	SCONJ
cord-194157-ak2gc3nz	178	12	the	the	DET
cord-194157-ak2gc3nz	178	13	last	last	ADJ
cord-194157-ak2gc3nz	178	14	step	step	NOUN
cord-194157-ak2gc3nz	178	15	applies	apply	VERB
cord-194157-ak2gc3nz	178	16	(	(	PUNCT
cord-194157-ak2gc3nz	178	17	8)	8)	NUM
cord-194157-ak2gc3nz	178	18	and	and	CCONJ
cord-194157-ak2gc3nz	178	19	lemma	lemma	NOUN
cord-194157-ak2gc3nz	178	20	11	11	NUM
cord-194157-ak2gc3nz	178	21	.	.	PUNCT
cord-194157-ak2gc3nz	179	1	combining	combine	VERB
cord-194157-ak2gc3nz	179	2	this	this	PRON
cord-194157-ak2gc3nz	179	3	with	with	ADP
cord-194157-ak2gc3nz	179	4	(	(	PUNCT
cord-194157-ak2gc3nz	179	5	5	5	NUM
cord-194157-ak2gc3nz	179	6	)	)	PUNCT
cord-194157-ak2gc3nz	179	7	and	and	CCONJ
cord-194157-ak2gc3nz	179	8	lemma	lemma	NOUN
cord-194157-ak2gc3nz	179	9	10	10	NUM
cord-194157-ak2gc3nz	179	10	after	after	SCONJ
cord-194157-ak2gc3nz	179	11	a	a	DET
cord-194157-ak2gc3nz	179	12	union	union	NOUN
cord-194157-ak2gc3nz	179	13	bound	bind	VERB
cord-194157-ak2gc3nz	179	14	then	then	ADV
cord-194157-ak2gc3nz	179	15	gives	give	VERB
cord-194157-ak2gc3nz	179	16	as	as	SCONJ
cord-194157-ak2gc3nz	179	17	claimed	claim	VERB
cord-194157-ak2gc3nz	179	18	.	.	PUNCT
cord-194157-ak2gc3nz	180	1	as	as	ADP
cord-194157-ak2gc3nz	180	2	such	such	ADJ
cord-194157-ak2gc3nz	180	3	,	,	PUNCT
cord-194157-ak2gc3nz	180	4	it	it	PRON
cord-194157-ak2gc3nz	180	5	suffices	suffice	VERB
cord-194157-ak2gc3nz	180	6	to	to	PART
cord-194157-ak2gc3nz	180	7	show	show	VERB
cord-194157-ak2gc3nz	180	8	that	that	PRON
cord-194157-ak2gc3nz	180	9	.	.	PUNCT
cord-194157-ak2gc3nz	181	1	for	for	ADP
cord-194157-ak2gc3nz	181	2	this	this	PRON
cord-194157-ak2gc3nz	181	3	,	,	PUNCT
cord-194157-ak2gc3nz	181	4	it	it	PRON
cord-194157-ak2gc3nz	181	5	is	be	AUX
cord-194157-ak2gc3nz	181	6	convenient	convenient	ADJ
cord-194157-ak2gc3nz	181	7	to	to	PART
cord-194157-ak2gc3nz	181	8	consider	consider	VERB
cord-194157-ak2gc3nz	181	9	the	the	DET
cord-194157-ak2gc3nz	181	10	event	event	NOUN
cord-194157-ak2gc3nz	181	11	a	a	DET
cord-194157-ak2gc3nz	181	12	t	t	NOUN
cord-194157-ak2gc3nz	181	13	0	0	NUM
cord-194157-ak2gc3nz	181	14	=	=	NOUN
cord-194157-ak2gc3nz	181	15	{	{	PUNCT
cord-194157-ak2gc3nz	181	16	e(i(t	e(i(t	PROPN
cord-194157-ak2gc3nz	181	17	0	0	NUM
cord-194157-ak2gc3nz	181	18	)	)	PUNCT
cord-194157-ak2gc3nz	181	19	,	,	PUNCT
cord-194157-ak2gc3nz	181	20	s(t	s(t	PROPN
cord-194157-ak2gc3nz	181	21	0	0	NUM
cord-194157-ak2gc3nz	181	22	)	)	PUNCT
cord-194157-ak2gc3nz	181	23	)	)	PUNCT
cord-194157-ak2gc3nz	181	24	>	>	PUNCT
cord-194157-ak2gc3nz	181	25	0	0	NUM
cord-194157-ak2gc3nz	181	26	}	}	PUNCT
cord-194157-ak2gc3nz	181	27	that	that	SCONJ
cord-194157-ak2gc3nz	181	28	the	the	DET
cord-194157-ak2gc3nz	181	29	infection	infection	NOUN
cord-194157-ak2gc3nz	181	30	is	be	AUX
cord-194157-ak2gc3nz	181	31	still	still	ADV
cord-194157-ak2gc3nz	181	32	spreading	spread	VERB
cord-194157-ak2gc3nz	181	33	at	at	ADP
cord-194157-ak2gc3nz	181	34	time	time	NOUN
cord-194157-ak2gc3nz	181	35	t	t	PROPN
cord-194157-ak2gc3nz	181	36	0	0	PUNCT
cord-194157-ak2gc3nz	181	37	.	.	PUNCT
cord-194157-ak2gc3nz	182	1	since	since	SCONJ
cord-194157-ak2gc3nz	182	2	e	e	PROPN
cord-194157-ak2gc3nz	182	3	1	1	NUM
cord-194157-ak2gc3nz	182	4	is	be	AUX
cord-194157-ak2gc3nz	182	5	the	the	DET
cord-194157-ak2gc3nz	182	6	event	event	NOUN
cord-194157-ak2gc3nz	182	7	that	that	PRON
cord-194157-ak2gc3nz	182	8	the	the	DET
cord-194157-ak2gc3nz	182	9	infection	infection	NOUN
cord-194157-ak2gc3nz	182	10	stays	stay	VERB
cord-194157-ak2gc3nz	182	11	within	within	ADP
cord-194157-ak2gc3nz	182	12	b(r	b(r	PROPN
cord-194157-ak2gc3nz	182	13	)	)	PUNCT
cord-194157-ak2gc3nz	182	14	up	up	ADP
cord-194157-ak2gc3nz	182	15	to	to	ADP
cord-194157-ak2gc3nz	182	16	time	time	NOUN
cord-194157-ak2gc3nz	182	17	t	t	NOUN
cord-194157-ak2gc3nz	182	18	1	1	NUM
cord-194157-ak2gc3nz	182	19	(	(	PUNCT
cord-194157-ak2gc3nz	182	20	i.e.	i.e.	X
cord-194157-ak2gc3nz	182	21	,	,	PUNCT
cord-194157-ak2gc3nz	182	22	after	after	ADP
cord-194157-ak2gc3nz	182	23	t	t	PROPN
cord-194157-ak2gc3nz	182	24	0	0	NUM
cord-194157-ak2gc3nz	182	25	)	)	PUNCT
cord-194157-ak2gc3nz	182	26	and	and	CCONJ
cord-194157-ak2gc3nz	182	27	e	e	PROPN
cord-194157-ak2gc3nz	182	28	∞	∞	PROPN
cord-194157-ak2gc3nz	182	29	is	be	AUX
cord-194157-ak2gc3nz	182	30	the	the	DET
cord-194157-ak2gc3nz	182	31	event	event	NOUN
cord-194157-ak2gc3nz	182	32	that	that	PRON
cord-194157-ak2gc3nz	182	33	the	the	DET
cord-194157-ak2gc3nz	182	34	infection	infection	NOUN
cord-194157-ak2gc3nz	182	35	eventually	eventually	ADV
cord-194157-ak2gc3nz	182	36	escapes	escape	VERB
cord-194157-ak2gc3nz	182	37	b(r	b(r	PROPN
cord-194157-ak2gc3nz	182	38	)	)	PUNCT
cord-194157-ak2gc3nz	182	39	,	,	PUNCT
cord-194157-ak2gc3nz	182	40	it	it	PRON
cord-194157-ak2gc3nz	182	41	follows	follow	VERB
cord-194157-ak2gc3nz	182	42	that	that	SCONJ
cord-194157-ak2gc3nz	182	43	since	since	SCONJ
cord-194157-ak2gc3nz	182	44	λ	λ	PROPN
cord-194157-ak2gc3nz	182	45	≥	≥	NOUN
cord-194157-ak2gc3nz	182	46	6µ	6µ	NOUN
cord-194157-ak2gc3nz	182	47	and	and	CCONJ
cord-194157-ak2gc3nz	182	48	d	d	X
cord-194157-ak2gc3nz	182	49	≥	≥	NOUN
cord-194157-ak2gc3nz	182	50	3	3	NUM
cord-194157-ak2gc3nz	182	51	,	,	PUNCT
cord-194157-ak2gc3nz	182	52	we	we	PRON
cord-194157-ak2gc3nz	182	53	may	may	AUX
cord-194157-ak2gc3nz	182	54	select	select	VERB
cord-194157-ak2gc3nz	182	55	any	any	DET
cord-194157-ak2gc3nz	182	56	∈	∈	NOUN
cord-194157-ak2gc3nz	182	57	(	(	PUNCT
cord-194157-ak2gc3nz	182	58	2µ	2µ	NUM
cord-194157-ak2gc3nz	182	59	µ+λ	µ+λ	NOUN
cord-194157-ak2gc3nz	182	60	,	,	PUNCT
cord-194157-ak2gc3nz	182	61	1	1	NUM
cord-194157-ak2gc3nz	182	62	−	−	PROPN
cord-194157-ak2gc3nz	182	63	2	2	NUM
cord-194157-ak2gc3nz	182	64	d	d	NOUN
cord-194157-ak2gc3nz	182	65	)	)	PUNCT
cord-194157-ak2gc3nz	182	66	;	;	PUNCT
cord-194157-ak2gc3nz	182	67	we	we	PRON
cord-194157-ak2gc3nz	182	68	will	will	AUX
cord-194157-ak2gc3nz	182	69	refine	refine	VERB
cord-194157-ak2gc3nz	182	70	our	our	PRON
cord-194157-ak2gc3nz	182	71	choice	choice	NOUN
cord-194157-ak2gc3nz	182	72	later	later	ADV
cord-194157-ak2gc3nz	182	73	.	.	PUNCT
cord-194157-ak2gc3nz	183	1	defining	define	VERB
cord-194157-ak2gc3nz	183	2	b	b	PROPN
cord-194157-ak2gc3nz	183	3	t	t	NOUN
cord-194157-ak2gc3nz	183	4	0	0	NUM
cord-194157-ak2gc3nz	183	5	:	:	PUNCT
cord-194157-ak2gc3nz	183	6	=	=	X
cord-194157-ak2gc3nz	183	7	{	{	PUNCT
cord-194157-ak2gc3nz	183	8	|r(t	|r(t	PROPN
cord-194157-ak2gc3nz	183	9	0	0	NUM
cord-194157-ak2gc3nz	183	10	)	)	PUNCT
cord-194157-ak2gc3nz	184	1	|	|	NOUN
cord-194157-ak2gc3nz	184	2	<	<	X
cord-194157-ak2gc3nz	185	1	|u	|u	ADJ
cord-194157-ak2gc3nz	185	2	(	(	PUNCT
cord-194157-ak2gc3nz	185	3	t	t	NOUN
cord-194157-ak2gc3nz	185	4	0	0	NUM
cord-194157-ak2gc3nz	185	5	)	)	PUNCT
cord-194157-ak2gc3nz	185	6	|	|	NOUN
cord-194157-ak2gc3nz	185	7	}	}	PUNCT
cord-194157-ak2gc3nz	185	8	,	,	PUNCT
cord-194157-ak2gc3nz	185	9	we	we	PRON
cord-194157-ak2gc3nz	185	10	then	then	ADV
cord-194157-ak2gc3nz	185	11	have	have	VERB
cord-194157-ak2gc3nz	185	12	we	we	PRON
cord-194157-ak2gc3nz	185	13	bound	bind	VERB
cord-194157-ak2gc3nz	185	14	the	the	DET
cord-194157-ak2gc3nz	185	15	first	first	ADJ
cord-194157-ak2gc3nz	185	16	term	term	NOUN
cord-194157-ak2gc3nz	185	17	of	of	ADP
cord-194157-ak2gc3nz	185	18	(	(	PUNCT
cord-194157-ak2gc3nz	185	19	9	9	NUM
cord-194157-ak2gc3nz	185	20	)	)	PUNCT
cord-194157-ak2gc3nz	185	21	by	by	ADP
cord-194157-ak2gc3nz	185	22	analyzing	analyze	VERB
cord-194157-ak2gc3nz	185	23	the	the	DET
cord-194157-ak2gc3nz	185	24	underlying	underlie	VERB
cord-194157-ak2gc3nz	185	25	discrete	discrete	ADJ
cord-194157-ak2gc3nz	185	26	time	time	NOUN
cord-194157-ak2gc3nz	185	27	markov	markov	NOUN
cord-194157-ak2gc3nz	185	28	chain	chain	NOUN
cord-194157-ak2gc3nz	185	29	:	:	PUNCT
cord-194157-ak2gc3nz	185	30	almost	almost	ADV
cord-194157-ak2gc3nz	185	31	surely	surely	ADV
cord-194157-ak2gc3nz	185	32	,	,	PUNCT
cord-194157-ak2gc3nz	185	33	the	the	DET
cord-194157-ak2gc3nz	185	34	end	end	NOUN
cord-194157-ak2gc3nz	185	35	state	state	NOUN
cord-194157-ak2gc3nz	185	36	of	of	ADP
cord-194157-ak2gc3nz	185	37	this	this	DET
cord-194157-ak2gc3nz	185	38	process	process	NOUN
cord-194157-ak2gc3nz	185	39	takes	take	VERB
cord-194157-ak2gc3nz	185	40	the	the	DET
cord-194157-ak2gc3nz	185	41	form	form	NOUN
cord-194157-ak2gc3nz	185	42	(	(	PUNCT
cord-194157-ak2gc3nz	185	43	s	s	X
cord-194157-ak2gc3nz	185	44	,	,	PUNCT
cord-194157-ak2gc3nz	185	45	∅	∅	NOUN
cord-194157-ak2gc3nz	185	46	,	,	PUNCT
cord-194157-ak2gc3nz	185	47	v	v	NOUN
cord-194157-ak2gc3nz	185	48	(	(	PUNCT
cord-194157-ak2gc3nz	185	49	g	g	NOUN
cord-194157-ak2gc3nz	185	50	)	)	PUNCT
cord-194157-ak2gc3nz	185	51	\	\	PROPN
cord-194157-ak2gc3nz	185	52	s	s	PROPN
cord-194157-ak2gc3nz	185	53	)	)	PUNCT
cord-194157-ak2gc3nz	185	54	.	.	PUNCT
cord-194157-ak2gc3nz	186	1	importantly	importantly	ADV
cord-194157-ak2gc3nz	186	2	,	,	PUNCT
cord-194157-ak2gc3nz	186	3	{	{	PUNCT
cord-194157-ak2gc3nz	186	4	m	m	VERB
cord-194157-ak2gc3nz	186	5	n	n	ADV
cord-194157-ak2gc3nz	186	6	}	}	PUNCT
cord-194157-ak2gc3nz	186	7	n≥0	n≥0	PROPN
cord-194157-ak2gc3nz	186	8	is	be	AUX
cord-194157-ak2gc3nz	186	9	a	a	DET
cord-194157-ak2gc3nz	186	10	discrete	discrete	ADJ
cord-194157-ak2gc3nz	186	11	time	time	NOUN
cord-194157-ak2gc3nz	186	12	markov	markov	NOUN
cord-194157-ak2gc3nz	186	13	chain	chain	NOUN
cord-194157-ak2gc3nz	186	14	in	in	ADP
cord-194157-ak2gc3nz	186	15	which	which	PRON
cord-194157-ak2gc3nz	186	16	,	,	PUNCT
cord-194157-ak2gc3nz	186	17	conditioned	condition	VERB
cord-194157-ak2gc3nz	186	18	on	on	ADP
cord-194157-ak2gc3nz	186	19	m	m	PROPN
cord-194157-ak2gc3nz	186	20	n	n	ADV
cord-194157-ak2gc3nz	186	21	,	,	PUNCT
cord-194157-ak2gc3nz	186	22	it	it	PRON
cord-194157-ak2gc3nz	186	23	holds	hold	VERB
cord-194157-ak2gc3nz	186	24	that	that	SCONJ
cord-194157-ak2gc3nz	186	25	r	r	NOUN
cord-194157-ak2gc3nz	186	26	n+1	n+1	X
cord-194157-ak2gc3nz	186	27	strictly	strictly	ADV
cord-194157-ak2gc3nz	186	28	contains	contain	VERB
cord-194157-ak2gc3nz	186	29	r	r	NOUN
cord-194157-ak2gc3nz	186	30	n	n	VERB
cord-194157-ak2gc3nz	186	31	with	with	ADP
cord-194157-ak2gc3nz	186	32	probability	probability	NOUN
cord-194157-ak2gc3nz	186	33	µ|i	µ|i	NOUN
cord-194157-ak2gc3nz	186	34	n	n	NOUN
cord-194157-ak2gc3nz	186	35	|	|	NOUN
cord-194157-ak2gc3nz	186	36	λe(i	λe(i	NOUN
cord-194157-ak2gc3nz	186	37	n	n	ADV
cord-194157-ak2gc3nz	186	38	,	,	PUNCT
cord-194157-ak2gc3nz	186	39	s	s	PROPN
cord-194157-ak2gc3nz	186	40	n	n	NOUN
cord-194157-ak2gc3nz	186	41	)	)	PUNCT
cord-194157-ak2gc3nz	186	42	+	+	VERB
cord-194157-ak2gc3nz	186	43	µ|i	µ|i	NOUN
cord-194157-ak2gc3nz	187	1	n	n	NOUN
cord-194157-ak2gc3nz	187	2	|	|	NOUN
cord-194157-ak2gc3nz	187	3	.	.	PUNCT
cord-194157-ak2gc3nz	188	1	we	we	PRON
cord-194157-ak2gc3nz	188	2	will	will	AUX
cord-194157-ak2gc3nz	188	3	consider	consider	VERB
cord-194157-ak2gc3nz	188	4	this	this	DET
cord-194157-ak2gc3nz	188	5	process	process	NOUN
cord-194157-ak2gc3nz	188	6	until	until	ADP
cord-194157-ak2gc3nz	188	7	the	the	DET
cord-194157-ak2gc3nz	188	8	stopping	stopping	NOUN
cord-194157-ak2gc3nz	188	9	time	time	NOUN
cord-194157-ak2gc3nz	188	10	n	n	ADV
cord-194157-ak2gc3nz	188	11	:	:	PUNCT
cord-194157-ak2gc3nz	188	12	=	=	PROPN
cord-194157-ak2gc3nz	188	13	inf{n	inf{n	X
cord-194157-ak2gc3nz	188	14	:	:	PUNCT
cord-194157-ak2gc3nz	188	15	e(i	e(i	PROPN
cord-194157-ak2gc3nz	188	16	n	n	PROPN
cord-194157-ak2gc3nz	188	17	,	,	PUNCT
cord-194157-ak2gc3nz	188	18	s	s	PROPN
cord-194157-ak2gc3nz	188	19	n	n	NOUN
cord-194157-ak2gc3nz	188	20	)	)	PUNCT
cord-194157-ak2gc3nz	188	21	=	=	NOUN
cord-194157-ak2gc3nz	188	22	0	0	NUM
cord-194157-ak2gc3nz	188	23	}	}	PUNCT
cord-194157-ak2gc3nz	188	24	.	.	PUNCT
cord-194157-ak2gc3nz	189	1	specifically	specifically	ADV
cord-194157-ak2gc3nz	189	2	,	,	PUNCT
cord-194157-ak2gc3nz	189	3	for	for	ADP
cord-194157-ak2gc3nz	189	4	each	each	DET
cord-194157-ak2gc3nz	189	5	n	n	PROPN
cord-194157-ak2gc3nz	189	6	∈	∈	PROPN
cord-194157-ak2gc3nz	189	7	{	{	PUNCT
cord-194157-ak2gc3nz	189	8	1	1	NUM
cord-194157-ak2gc3nz	189	9	,	,	PUNCT
cord-194157-ak2gc3nz	189	10	.	.	PUNCT
cord-194157-ak2gc3nz	189	11	.	.	PUNCT
cord-194157-ak2gc3nz	189	12	.	.	PUNCT
cord-194157-ak2gc3nz	190	1	,	,	PUNCT
cord-194157-ak2gc3nz	190	2	n	n	ADV
cord-194157-ak2gc3nz	190	3	}	}	PUNCT
cord-194157-ak2gc3nz	190	4	,	,	PUNCT
cord-194157-ak2gc3nz	190	5	let	let	VERB
cord-194157-ak2gc3nz	190	6	x	x	X
cord-194157-ak2gc3nz	190	7	n	n	X
cord-194157-ak2gc3nz	190	8	indicate	indicate	VERB
cord-194157-ak2gc3nz	190	9	whether	whether	SCONJ
cord-194157-ak2gc3nz	190	10	the	the	DET
cord-194157-ak2gc3nz	190	11	nth	nth	NOUN
cord-194157-ak2gc3nz	190	12	transition	transition	NOUN
cord-194157-ak2gc3nz	190	13	recovers	recover	VERB
cord-194157-ak2gc3nz	190	14	a	a	DET
cord-194157-ak2gc3nz	190	15	vertex	vertex	NOUN
cord-194157-ak2gc3nz	190	16	,	,	PUNCT
cord-194157-ak2gc3nz	190	17	i.e.	i.e.	X
cord-194157-ak2gc3nz	190	18	,	,	PUNCT
cord-194157-ak2gc3nz	190	19	r	r	NOUN
cord-194157-ak2gc3nz	190	20	n	n	ADV
cord-194157-ak2gc3nz	190	21	strictly	strictly	ADV
cord-194157-ak2gc3nz	190	22	contains	contain	VERB
cord-194157-ak2gc3nz	190	23	r	r	NOUN
cord-194157-ak2gc3nz	190	24	n−1	n−1	PROPN
cord-194157-ak2gc3nz	190	25	.	.	PUNCT
cord-194157-ak2gc3nz	191	1	for	for	ADP
cord-194157-ak2gc3nz	191	2	each	each	PRON
cord-194157-ak2gc3nz	191	3	n	n	PROPN
cord-194157-ak2gc3nz	191	4	>	>	X
cord-194157-ak2gc3nz	191	5	n	n	PROPN
cord-194157-ak2gc3nz	191	6	,	,	PUNCT
cord-194157-ak2gc3nz	191	7	let	let	VERB
cord-194157-ak2gc3nz	191	8	x	x	X
cord-194157-ak2gc3nz	191	9	n	n	X
cord-194157-ak2gc3nz	191	10	be	be	AUX
cord-194157-ak2gc3nz	191	11	bernoulli	bernoulli	ADJ
cord-194157-ak2gc3nz	191	12	with	with	ADP
cord-194157-ak2gc3nz	191	13	success	success	NOUN
cord-194157-ak2gc3nz	191	14	probability	probability	NOUN
cord-194157-ak2gc3nz	191	15	µ	µ	PROPN
cord-194157-ak2gc3nz	191	16	µ+λ	µ+λ	PUNCT
cord-194157-ak2gc3nz	191	17	,	,	PUNCT
cord-194157-ak2gc3nz	191	18	all	all	PRON
cord-194157-ak2gc3nz	191	19	of	of	ADP
cord-194157-ak2gc3nz	191	20	which	which	PRON
cord-194157-ak2gc3nz	191	21	are	be	AUX
cord-194157-ak2gc3nz	191	22	independent	independent	ADJ
cord-194157-ak2gc3nz	191	23	of	of	ADP
cord-194157-ak2gc3nz	191	24	each	each	DET
cord-194157-ak2gc3nz	191	25	other	other	ADJ
cord-194157-ak2gc3nz	191	26	and	and	CCONJ
cord-194157-ak2gc3nz	191	27	of	of	ADP
cord-194157-ak2gc3nz	191	28	m	m	PROPN
cord-194157-ak2gc3nz	191	29	n	n	ADV
cord-194157-ak2gc3nz	191	30	.	.	PUNCT
cord-194157-ak2gc3nz	192	1	put	put	VERB
cord-194157-ak2gc3nz	192	2	m	m	VERB
cord-194157-ak2gc3nz	192	3	n	n	ADV
cord-194157-ak2gc3nz	192	4	:	:	PUNCT
cord-194157-ak2gc3nz	192	5	=	=	PROPN
cord-194157-ak2gc3nz	192	6	m	m	VERB
cord-194157-ak2gc3nz	192	7	min(n	min(n	PROPN
cord-194157-ak2gc3nz	192	8	,	,	PUNCT
cord-194157-ak2gc3nz	192	9	n	n	NOUN
cord-194157-ak2gc3nz	192	10	)	)	PUNCT
cord-194157-ak2gc3nz	192	11	.	.	PUNCT
cord-194157-ak2gc3nz	193	1	let	let	VERB
cord-194157-ak2gc3nz	194	1	p	p	PROPN
cord-194157-ak2gc3nz	194	2	n	n	NOUN
cord-194157-ak2gc3nz	194	3	denote	denote	VERB
cord-194157-ak2gc3nz	194	4	the	the	DET
cord-194157-ak2gc3nz	194	5	(	(	PUNCT
cord-194157-ak2gc3nz	194	6	random	random	ADJ
cord-194157-ak2gc3nz	194	7	)	)	PUNCT
cord-194157-ak2gc3nz	194	8	probability	probability	NOUN
cord-194157-ak2gc3nz	194	9	measure	measure	NOUN
cord-194157-ak2gc3nz	194	10	conditioned	condition	VERB
cord-194157-ak2gc3nz	194	11	on	on	ADP
cord-194157-ak2gc3nz	194	12	the	the	DET
cord-194157-ak2gc3nz	194	13	state	state	NOUN
cord-194157-ak2gc3nz	194	14	history	history	NOUN
cord-194157-ak2gc3nz	194	15	{	{	PUNCT
cord-194157-ak2gc3nz	194	16	m	m	PROPN
cord-194157-ak2gc3nz	194	17	j	j	X
cord-194157-ak2gc3nz	194	18	}	}	PUNCT
cord-194157-ak2gc3nz	194	19	n	n	NOUN
cord-194157-ak2gc3nz	194	20	j=0	j=0	VERB
cord-194157-ak2gc3nz	194	21	.	.	PUNCT
cord-194157-ak2gc3nz	195	1	notice	notice	VERB
cord-194157-ak2gc3nz	195	2	that	that	SCONJ
cord-194157-ak2gc3nz	195	3	in	in	ADP
cord-194157-ak2gc3nz	195	4	the	the	DET
cord-194157-ak2gc3nz	195	5	event	event	NOUN
cord-194157-ak2gc3nz	195	6	{	{	PUNCT
cord-194157-ak2gc3nz	195	7	n	n	NOUN
cord-194157-ak2gc3nz	195	8	<	<	X
cord-194157-ak2gc3nz	195	9	n	n	PROPN
cord-194157-ak2gc3nz	195	10	}	}	PUNCT
cord-194157-ak2gc3nz	195	11	,	,	PUNCT
cord-194157-ak2gc3nz	195	12	we	we	PRON
cord-194157-ak2gc3nz	195	13	have	have	VERB
cord-194157-ak2gc3nz	195	14	the	the	DET
cord-194157-ak2gc3nz	195	15	bound	bind	VERB
cord-194157-ak2gc3nz	195	16	p	p	NOUN
cord-194157-ak2gc3nz	195	17	n	n	PROPN
cord-194157-ak2gc3nz	195	18	{	{	PUNCT
cord-194157-ak2gc3nz	195	19	x	x	PROPN
cord-194157-ak2gc3nz	195	20	n+1	n+1	PUNCT
cord-194157-ak2gc3nz	195	21	=	=	SYM
cord-194157-ak2gc3nz	195	22	1	1	NUM
cord-194157-ak2gc3nz	195	23	}	}	PUNCT
cord-194157-ak2gc3nz	195	24	=	=	NOUN
cord-194157-ak2gc3nz	195	25	p{x	p{x	NOUN
cord-194157-ak2gc3nz	195	26	n+1	n+1	PROPN
cord-194157-ak2gc3nz	195	27	=	=	SYM
cord-194157-ak2gc3nz	195	28	1|m	1|m	NOUN
cord-194157-ak2gc3nz	195	29	n	n	SYM
cord-194157-ak2gc3nz	195	30	}	}	PUNCT
cord-194157-ak2gc3nz	195	31	=	=	NOUN
cord-194157-ak2gc3nz	195	32	µ|i	µ|i	NOUN
cord-194157-ak2gc3nz	195	33	n	n	NOUN
cord-194157-ak2gc3nz	195	34	|	|	NOUN
cord-194157-ak2gc3nz	195	35	λe(i	λe(i	PUNCT
cord-194157-ak2gc3nz	195	36	n	n	ADV
cord-194157-ak2gc3nz	195	37	,	,	PUNCT
cord-194157-ak2gc3nz	195	38	s	s	PROPN
cord-194157-ak2gc3nz	195	39	n	n	NOUN
cord-194157-ak2gc3nz	195	40	)	)	PUNCT
cord-194157-ak2gc3nz	195	41	+	+	VERB
cord-194157-ak2gc3nz	195	42	µ|i	µ|i	NOUN
cord-194157-ak2gc3nz	196	1	n	n	X
cord-194157-ak2gc3nz	196	2	|	|	PROPN
cord-194157-ak2gc3nz	196	3	≤	≤	PROPN
cord-194157-ak2gc3nz	196	4	µ	µ	PROPN
cord-194157-ak2gc3nz	196	5	µ	µ	PROPN
cord-194157-ak2gc3nz	196	6	+	+	CCONJ
cord-194157-ak2gc3nz	196	7	λ	λ	NOUN
cord-194157-ak2gc3nz	196	8	almost	almost	ADV
cord-194157-ak2gc3nz	196	9	surely	surely	ADV
cord-194157-ak2gc3nz	196	10	.	.	PUNCT
cord-194157-ak2gc3nz	197	1	meanwhile	meanwhile	ADV
cord-194157-ak2gc3nz	197	2	,	,	PUNCT
cord-194157-ak2gc3nz	197	3	in	in	ADP
cord-194157-ak2gc3nz	197	4	the	the	DET
cord-194157-ak2gc3nz	197	5	complementary	complementary	ADJ
cord-194157-ak2gc3nz	197	6	event	event	NOUN
cord-194157-ak2gc3nz	197	7	{	{	PUNCT
cord-194157-ak2gc3nz	197	8	n	n	NOUN
cord-194157-ak2gc3nz	197	9	≥	≥	NOUN
cord-194157-ak2gc3nz	197	10	n	n	PRON
cord-194157-ak2gc3nz	197	11	}	}	PUNCT
cord-194157-ak2gc3nz	197	12	,	,	PUNCT
cord-194157-ak2gc3nz	197	13	x	x	PROPN
cord-194157-ak2gc3nz	197	14	n+1	n+1	PROPN
cord-194157-ak2gc3nz	197	15	is	be	AUX
cord-194157-ak2gc3nz	197	16	bernoulli	bernoulli	PROPN
cord-194157-ak2gc3nz	197	17	with	with	ADP
cord-194157-ak2gc3nz	197	18	success	success	NOUN
cord-194157-ak2gc3nz	197	19	probability	probability	NOUN
cord-194157-ak2gc3nz	197	20	λ	λ	PROPN
cord-194157-ak2gc3nz	197	21	µ+λ	µ+λ	PUNCT
cord-194157-ak2gc3nz	197	22	and	and	CCONJ
cord-194157-ak2gc3nz	197	23	independent	independent	ADJ
cord-194157-ak2gc3nz	197	24	of	of	ADP
cord-194157-ak2gc3nz	197	25	m	m	PROPN
cord-194157-ak2gc3nz	197	26	n	n	ADV
cord-194157-ak2gc3nz	197	27	,	,	PUNCT
cord-194157-ak2gc3nz	197	28	and	and	CCONJ
cord-194157-ak2gc3nz	197	29	so	so	ADV
cord-194157-ak2gc3nz	197	30	p	p	PROPN
cord-194157-ak2gc3nz	197	31	n	n	NOUN
cord-194157-ak2gc3nz	197	32	{	{	PUNCT
cord-194157-ak2gc3nz	197	33	x	x	PROPN
cord-194157-ak2gc3nz	197	34	n+1	n+1	PUNCT
cord-194157-ak2gc3nz	197	35	=	=	SYM
cord-194157-ak2gc3nz	197	36	1	1	NUM
cord-194157-ak2gc3nz	197	37	}	}	PUNCT
cord-194157-ak2gc3nz	197	38	=	=	NOUN
cord-194157-ak2gc3nz	197	39	p{x	p{x	NOUN
cord-194157-ak2gc3nz	197	40	n+1	n+1	PROPN
cord-194157-ak2gc3nz	197	41	=	=	SYM
cord-194157-ak2gc3nz	197	42	1|m	1|m	NUM
cord-194157-ak2gc3nz	197	43	n	n	PRON
cord-194157-ak2gc3nz	198	1	}	}	PUNCT
cord-194157-ak2gc3nz	198	2	=	=	NOUN
cord-194157-ak2gc3nz	198	3	p{x	p{x	NOUN
cord-194157-ak2gc3nz	198	4	n+1	n+1	PROPN
cord-194157-ak2gc3nz	198	5	=	=	SYM
cord-194157-ak2gc3nz	198	6	1	1	NUM
cord-194157-ak2gc3nz	198	7	}	}	PUNCT
cord-194157-ak2gc3nz	198	8	=	=	NOUN
cord-194157-ak2gc3nz	198	9	µ	µ	X
cord-194157-ak2gc3nz	198	10	µ	µ	PROPN
cord-194157-ak2gc3nz	198	11	+	+	CCONJ
cord-194157-ak2gc3nz	198	12	λ	λ	NOUN
cord-194157-ak2gc3nz	198	13	almost	almost	ADV
cord-194157-ak2gc3nz	198	14	surely	surely	ADV
cord-194157-ak2gc3nz	198	15	.	.	PUNCT
cord-194157-ak2gc3nz	199	1	overall	overall	ADV
cord-194157-ak2gc3nz	199	2	,	,	PUNCT
cord-194157-ak2gc3nz	199	3	p	p	PROPN
cord-194157-ak2gc3nz	199	4	n	n	NOUN
cord-194157-ak2gc3nz	199	5	{	{	PUNCT
cord-194157-ak2gc3nz	199	6	x	x	PROPN
cord-194157-ak2gc3nz	199	7	n+1	n+1	PROPN
cord-194157-ak2gc3nz	199	8	=	=	SYM
cord-194157-ak2gc3nz	199	9	1	1	NUM
cord-194157-ak2gc3nz	199	10	}	}	PUNCT
cord-194157-ak2gc3nz	199	11	≤	≤	PROPN
cord-194157-ak2gc3nz	199	12	µ	µ	PROPN
cord-194157-ak2gc3nz	199	13	µ+λ	µ+λ	PUNCT
cord-194157-ak2gc3nz	200	1	almost	almost	ADV
cord-194157-ak2gc3nz	200	2	surely	surely	ADV
cord-194157-ak2gc3nz	200	3	.	.	PUNCT
cord-194157-ak2gc3nz	201	1	next	next	ADV
cord-194157-ak2gc3nz	201	2	,	,	PUNCT
cord-194157-ak2gc3nz	201	3	let	let	VERB
cord-194157-ak2gc3nz	201	4	j	j	PROPN
cord-194157-ak2gc3nz	201	5	denote	denote	VERB
cord-194157-ak2gc3nz	201	6	a	a	DET
cord-194157-ak2gc3nz	201	7	set	set	NOUN
cord-194157-ak2gc3nz	201	8	of	of	ADP
cord-194157-ak2gc3nz	201	9	positive	positive	ADJ
cord-194157-ak2gc3nz	201	10	integers	integers	PROPN
cord-194157-ak2gc3nz	201	11	j	j	PROPN
cord-194157-ak2gc3nz	201	12	1	1	NUM
cord-194157-ak2gc3nz	201	13	<	<	X
cord-194157-ak2gc3nz	201	14	·	·	PUNCT
cord-194157-ak2gc3nz	201	15	·	·	PUNCT
cord-194157-ak2gc3nz	201	16	·	·	PUNCT
cord-194157-ak2gc3nz	201	17	<	<	X
cord-194157-ak2gc3nz	201	18	j	j	X
cord-194157-ak2gc3nz	201	19	m	m	PROPN
cord-194157-ak2gc3nz	201	20	.	.	PUNCT
cord-194157-ak2gc3nz	202	1	then	then	ADV
cord-194157-ak2gc3nz	202	2	the	the	DET
cord-194157-ak2gc3nz	202	3	law	law	NOUN
cord-194157-ak2gc3nz	202	4	of	of	ADP
cord-194157-ak2gc3nz	202	5	total	total	ADJ
cord-194157-ak2gc3nz	202	6	probability	probability	NOUN
cord-194157-ak2gc3nz	202	7	gives	give	VERB
cord-194157-ak2gc3nz	202	8	next	next	ADV
cord-194157-ak2gc3nz	202	9	,	,	PUNCT
cord-194157-ak2gc3nz	202	10	p	p	PROPN
cord-194157-ak2gc3nz	202	11	jm−1	jm−1	PROPN
cord-194157-ak2gc3nz	202	12	{	{	PUNCT
cord-194157-ak2gc3nz	202	13	x	x	PROPN
cord-194157-ak2gc3nz	202	14	j	j	PROPN
cord-194157-ak2gc3nz	202	15	=	=	SYM
cord-194157-ak2gc3nz	202	16	1	1	NUM
cord-194157-ak2gc3nz	202	17	∀j	∀j	NUM
cord-194157-ak2gc3nz	202	18	∈	∈	PROPN
cord-194157-ak2gc3nz	202	19	j	j	NOUN
cord-194157-ak2gc3nz	202	20	\	\	PROPN
cord-194157-ak2gc3nz	202	21	{	{	PUNCT
cord-194157-ak2gc3nz	202	22	j	j	PROPN
cord-194157-ak2gc3nz	202	23	m	m	PROPN
cord-194157-ak2gc3nz	202	24	}	}	PUNCT
cord-194157-ak2gc3nz	202	25	}	}	PUNCT
cord-194157-ak2gc3nz	202	26	∈	∈	NOUN
cord-194157-ak2gc3nz	202	27	{	{	PUNCT
cord-194157-ak2gc3nz	202	28	0	0	NUM
cord-194157-ak2gc3nz	202	29	,	,	PUNCT
cord-194157-ak2gc3nz	202	30	1	1	NUM
cord-194157-ak2gc3nz	202	31	}	}	PUNCT
cord-194157-ak2gc3nz	202	32	,	,	PUNCT
cord-194157-ak2gc3nz	202	33	and	and	CCONJ
cord-194157-ak2gc3nz	202	34	so	so	ADV
cord-194157-ak2gc3nz	202	35	take	take	VERB
cord-194157-ak2gc3nz	202	36	expectations	expectation	NOUN
cord-194157-ak2gc3nz	202	37	of	of	ADP
cord-194157-ak2gc3nz	202	38	both	both	DET
cord-194157-ak2gc3nz	202	39	sides	side	NOUN
cord-194157-ak2gc3nz	202	40	and	and	CCONJ
cord-194157-ak2gc3nz	202	41	apply	apply	VERB
cord-194157-ak2gc3nz	202	42	induction	induction	NOUN
cord-194157-ak2gc3nz	202	43	to	to	PART
cord-194157-ak2gc3nz	202	44	get	get	VERB
cord-194157-ak2gc3nz	202	45	next	next	ADV
cord-194157-ak2gc3nz	202	46	,	,	PUNCT
cord-194157-ak2gc3nz	202	47	let	let	VERB
cord-194157-ak2gc3nz	202	48	n	n	NOUN
cord-194157-ak2gc3nz	202	49	0	0	PUNCT
cord-194157-ak2gc3nz	202	50	denote	denote	VERB
cord-194157-ak2gc3nz	202	51	the	the	DET
cord-194157-ak2gc3nz	202	52	number	number	NOUN
cord-194157-ak2gc3nz	202	53	of	of	ADP
cord-194157-ak2gc3nz	202	54	transitions	transition	NOUN
cord-194157-ak2gc3nz	202	55	that	that	PRON
cord-194157-ak2gc3nz	202	56	have	have	AUX
cord-194157-ak2gc3nz	202	57	occurred	occur	VERB
cord-194157-ak2gc3nz	202	58	by	by	ADP
cord-194157-ak2gc3nz	202	59	time	time	NOUN
cord-194157-ak2gc3nz	202	60	t	t	PROPN
cord-194157-ak2gc3nz	202	61	0	0	NUM
cord-194157-ak2gc3nz	202	62	.	.	PUNCT
cord-194157-ak2gc3nz	203	1	in	in	ADP
cord-194157-ak2gc3nz	203	2	the	the	DET
cord-194157-ak2gc3nz	203	3	event	event	NOUN
cord-194157-ak2gc3nz	203	4	a	a	DET
cord-194157-ak2gc3nz	203	5	t	t	NOUN
cord-194157-ak2gc3nz	203	6	0	0	NUM
cord-194157-ak2gc3nz	203	7	,	,	PUNCT
cord-194157-ak2gc3nz	203	8	it	it	PRON
cord-194157-ak2gc3nz	203	9	holds	hold	VERB
cord-194157-ak2gc3nz	203	10	that	that	PRON
cord-194157-ak2gc3nz	203	11	n	n	NOUN
cord-194157-ak2gc3nz	203	12	0	0	PUNCT
cord-194157-ak2gc3nz	203	13	<	<	X
cord-194157-ak2gc3nz	203	14	n	n	NOUN
cord-194157-ak2gc3nz	203	15	,	,	PUNCT
cord-194157-ak2gc3nz	203	16	and	and	CCONJ
cord-194157-ak2gc3nz	203	17	so	so	ADV
cord-194157-ak2gc3nz	203	18	|r(t	|r(t	PROPN
cord-194157-ak2gc3nz	203	19	0	0	NUM
cord-194157-ak2gc3nz	203	20	)	)	PUNCT
cord-194157-ak2gc3nz	204	1	|	|	NOUN
cord-194157-ak2gc3nz	204	2	=	=	NOUN
cord-194157-ak2gc3nz	204	3	n	n	NOUN
cord-194157-ak2gc3nz	204	4	0	0	PUNCT
cord-194157-ak2gc3nz	204	5	j=1	j=1	PROPN
cord-194157-ak2gc3nz	204	6	x	x	PUNCT
cord-194157-ak2gc3nz	204	7	j	j	PROPN
cord-194157-ak2gc3nz	204	8	.	.	PUNCT
cord-194157-ak2gc3nz	205	1	also	also	ADV
cord-194157-ak2gc3nz	205	2	,	,	PUNCT
cord-194157-ak2gc3nz	205	3	we	we	PRON
cord-194157-ak2gc3nz	205	4	have	have	VERB
cord-194157-ak2gc3nz	205	5	n	n	NOUN
cord-194157-ak2gc3nz	205	6	0	0	NUM
cord-194157-ak2gc3nz	205	7	≤	≤	NOUN
cord-194157-ak2gc3nz	206	1	2|u	2|u	NUM
cord-194157-ak2gc3nz	207	1	(	(	PUNCT
cord-194157-ak2gc3nz	207	2	t	t	NOUN
cord-194157-ak2gc3nz	207	3	0	0	NUM
cord-194157-ak2gc3nz	207	4	)	)	PUNCT
cord-194157-ak2gc3nz	208	1	|	|	NOUN
cord-194157-ak2gc3nz	208	2	.	.	PUNCT
cord-194157-ak2gc3nz	209	1	as	as	ADP
cord-194157-ak2gc3nz	209	2	such	such	ADJ
cord-194157-ak2gc3nz	209	3	,	,	PUNCT
cord-194157-ak2gc3nz	209	4	µ+λ	µ+λ	X
cord-194157-ak2gc3nz	209	5	.	.	PUNCT
cord-194157-ak2gc3nz	210	1	this	this	PRON
cord-194157-ak2gc3nz	210	2	then	then	ADV
cord-194157-ak2gc3nz	210	3	gives	give	VERB
cord-194157-ak2gc3nz	210	4	overall	overall	ADJ
cord-194157-ak2gc3nz	210	5	,	,	PUNCT
cord-194157-ak2gc3nz	210	6	lemma	lemma	NOUN
cord-194157-ak2gc3nz	210	7	12	12	NUM
cord-194157-ak2gc3nz	210	8	gives	give	VERB
cord-194157-ak2gc3nz	210	9	that	that	SCONJ
cord-194157-ak2gc3nz	210	10	the	the	DET
cord-194157-ak2gc3nz	210	11	first	first	ADJ
cord-194157-ak2gc3nz	210	12	term	term	NOUN
cord-194157-ak2gc3nz	210	13	in	in	ADP
cord-194157-ak2gc3nz	210	14	(	(	PUNCT
cord-194157-ak2gc3nz	210	15	9	9	NUM
cord-194157-ak2gc3nz	210	16	)	)	PUNCT
cord-194157-ak2gc3nz	210	17	is	be	AUX
cord-194157-ak2gc3nz	210	18	o(1	o(1	NOUN
cord-194157-ak2gc3nz	210	19	)	)	PUNCT
cord-194157-ak2gc3nz	210	20	.	.	PUNCT
cord-194157-ak2gc3nz	211	1	it	it	PRON
cord-194157-ak2gc3nz	211	2	remains	remain	VERB
cord-194157-ak2gc3nz	211	3	to	to	AUX
cord-194157-ak2gc3nz	211	4	bound	bind	VERB
cord-194157-ak2gc3nz	211	5	to	to	ADP
cord-194157-ak2gc3nz	211	6	second	second	ADJ
cord-194157-ak2gc3nz	211	7	term	term	NOUN
cord-194157-ak2gc3nz	211	8	in	in	ADP
cord-194157-ak2gc3nz	211	9	(	(	PUNCT
cord-194157-ak2gc3nz	211	10	9	9	NUM
cord-194157-ak2gc3nz	211	11	)	)	PUNCT
cord-194157-ak2gc3nz	211	12	.	.	PUNCT
cord-194157-ak2gc3nz	212	1	to	to	PART
cord-194157-ak2gc3nz	212	2	do	do	VERB
cord-194157-ak2gc3nz	212	3	so	so	ADV
cord-194157-ak2gc3nz	212	4	,	,	PUNCT
cord-194157-ak2gc3nz	212	5	we	we	PRON
cord-194157-ak2gc3nz	212	6	restrict	restrict	VERB
cord-194157-ak2gc3nz	212	7	to	to	ADP
cord-194157-ak2gc3nz	212	8	the	the	DET
cord-194157-ak2gc3nz	212	9	event	event	NOUN
cord-194157-ak2gc3nz	212	10	e	e	PROPN
cord-194157-ak2gc3nz	212	11	0	0	NUM
cord-194157-ak2gc3nz	212	12	∩	∩	PROPN
cord-194157-ak2gc3nz	212	13	e	e	X
cord-194157-ak2gc3nz	212	14	1	1	NUM
cord-194157-ak2gc3nz	212	15	∩	∩	NOUN
cord-194157-ak2gc3nz	212	16	e	e	SYM
cord-194157-ak2gc3nz	212	17	2	2	NUM
cord-194157-ak2gc3nz	212	18	∩	∩	PROPN
cord-194157-ak2gc3nz	212	19	b	b	X
cord-194157-ak2gc3nz	212	20	t	t	NOUN
cord-194157-ak2gc3nz	212	21	0	0	PUNCT
cord-194157-ak2gc3nz	212	22	and	and	CCONJ
cord-194157-ak2gc3nz	212	23	argue	argue	VERB
cord-194157-ak2gc3nz	212	24	that	that	SCONJ
cord-194157-ak2gc3nz	212	25	f	f	PROPN
cord-194157-ak2gc3nz	212	26	occurs	occur	VERB
cord-194157-ak2gc3nz	212	27	with	with	ADP
cord-194157-ak2gc3nz	212	28	probability	probability	NOUN
cord-194157-ak2gc3nz	212	29	o(1	o(1	NOUN
cord-194157-ak2gc3nz	212	30	)	)	PUNCT
cord-194157-ak2gc3nz	212	31	.	.	PUNCT
cord-194157-ak2gc3nz	213	1	we	we	PRON
cord-194157-ak2gc3nz	213	2	adopt	adopt	VERB
cord-194157-ak2gc3nz	213	3	the	the	DET
cord-194157-ak2gc3nz	213	4	notation	notation	NOUN
cord-194157-ak2gc3nz	213	5	from	from	ADP
cord-194157-ak2gc3nz	213	6	lemma	lemma	NOUN
cord-194157-ak2gc3nz	213	7	6	6	NUM
cord-194157-ak2gc3nz	213	8	and	and	CCONJ
cord-194157-ak2gc3nz	213	9	algorithm	algorithm	PROPN
cord-194157-ak2gc3nz	213	10	1	1	X
cord-194157-ak2gc3nz	213	11	.	.	PUNCT
cord-194157-ak2gc3nz	214	1	since	since	SCONJ
cord-194157-ak2gc3nz	214	2	b(r	b(r	PROPN
cord-194157-ak2gc3nz	214	3	)	)	PUNCT
cord-194157-ak2gc3nz	214	4	is	be	AUX
cord-194157-ak2gc3nz	214	5	a	a	DET
cord-194157-ak2gc3nz	214	6	tree	tree	NOUN
cord-194157-ak2gc3nz	214	7	,	,	PUNCT
cord-194157-ak2gc3nz	214	8	a	a	DET
cord-194157-ak2gc3nz	214	9	consists	consist	NOUN
cord-194157-ak2gc3nz	214	10	of	of	ADP
cord-194157-ak2gc3nz	214	11	the	the	DET
cord-194157-ak2gc3nz	214	12	vertices	vertex	NOUN
cord-194157-ak2gc3nz	214	13	in	in	ADP
cord-194157-ak2gc3nz	214	14	u	u	PROPN
cord-194157-ak2gc3nz	214	15	(	(	PUNCT
cord-194157-ak2gc3nz	214	16	t	t	NOUN
cord-194157-ak2gc3nz	214	17	0	0	NUM
cord-194157-ak2gc3nz	214	18	)	)	PUNCT
cord-194157-ak2gc3nz	214	19	that	that	PRON
cord-194157-ak2gc3nz	214	20	have	have	VERB
cord-194157-ak2gc3nz	214	21	a	a	DET
cord-194157-ak2gc3nz	214	22	neighbor	neighbor	NOUN
cord-194157-ak2gc3nz	214	23	in	in	ADP
cord-194157-ak2gc3nz	214	24	s(t	s(t	PROPN
cord-194157-ak2gc3nz	214	25	0	0	NUM
cord-194157-ak2gc3nz	214	26	)	)	PUNCT
cord-194157-ak2gc3nz	214	27	,	,	PUNCT
cord-194157-ak2gc3nz	214	28	while	while	SCONJ
cord-194157-ak2gc3nz	214	29	a	a	DET
cord-194157-ak2gc3nz	214	30	i	i	NOUN
cord-194157-ak2gc3nz	214	31	=	=	VERB
cord-194157-ak2gc3nz	214	32	a	a	DET
cord-194157-ak2gc3nz	214	33	∩	∩	NOUN
cord-194157-ak2gc3nz	214	34	i(t	i(t	PROPN
cord-194157-ak2gc3nz	214	35	0	0	NUM
cord-194157-ak2gc3nz	214	36	)	)	PUNCT
cord-194157-ak2gc3nz	214	37	.	.	PUNCT
cord-194157-ak2gc3nz	215	1	for	for	ADP
cord-194157-ak2gc3nz	215	2	every	every	DET
cord-194157-ak2gc3nz	215	3	a	a	DET
cord-194157-ak2gc3nz	215	4	∈	∈	NOUN
cord-194157-ak2gc3nz	215	5	a	a	DET
cord-194157-ak2gc3nz	215	6	\	\	NOUN
cord-194157-ak2gc3nz	215	7	a	a	DET
cord-194157-ak2gc3nz	215	8	i	i	NOUN
cord-194157-ak2gc3nz	215	9	⊆	⊆	NUM
cord-194157-ak2gc3nz	215	10	r(t	r(t	NOUN
cord-194157-ak2gc3nz	215	11	0	0	NUM
cord-194157-ak2gc3nz	215	12	)	)	PUNCT
cord-194157-ak2gc3nz	215	13	,	,	PUNCT
cord-194157-ak2gc3nz	215	14	since	since	SCONJ
cord-194157-ak2gc3nz	215	15	a	a	PRON
cord-194157-ak2gc3nz	215	16	can	can	AUX
cord-194157-ak2gc3nz	215	17	not	not	PART
cord-194157-ak2gc3nz	215	18	infect	infect	VERB
cord-194157-ak2gc3nz	215	19	b(a	b(a	ADJ
cord-194157-ak2gc3nz	215	20	)	)	PUNCT
cord-194157-ak2gc3nz	215	21	,	,	PUNCT
cord-194157-ak2gc3nz	215	22	it	it	PRON
cord-194157-ak2gc3nz	215	23	holds	hold	VERB
cord-194157-ak2gc3nz	215	24	that	that	SCONJ
cord-194157-ak2gc3nz	215	25	z	z	PROPN
cord-194157-ak2gc3nz	215	26	a	a	DET
cord-194157-ak2gc3nz	215	27	=	=	NOUN
cord-194157-ak2gc3nz	215	28	τ	τ	NOUN
cord-194157-ak2gc3nz	215	29	.	.	PUNCT
cord-194157-ak2gc3nz	216	1	it	it	PRON
cord-194157-ak2gc3nz	216	2	follows	follow	VERB
cord-194157-ak2gc3nz	216	3	that	that	PRON
cord-194157-ak2gc3nz	216	4	q	q	NOUN
cord-194157-ak2gc3nz	216	5	=	=	X
cord-194157-ak2gc3nz	217	1	q	q	NOUN
cord-194157-ak2gc3nz	218	1	i	i	PRON
cord-194157-ak2gc3nz	218	2	and	and	CCONJ
cord-194157-ak2gc3nz	218	3	p	p	NOUN
cord-194157-ak2gc3nz	218	4	=	=	NOUN
cord-194157-ak2gc3nz	218	5	|a	|a	VERB
cord-194157-ak2gc3nz	218	6	i	i	PRON
cord-194157-ak2gc3nz	218	7	|	|	PUNCT
cord-194157-ak2gc3nz	219	1	|a|	|a|	X
cord-194157-ak2gc3nz	219	2	p	p	NOUN
cord-194157-ak2gc3nz	219	3	i	i	NOUN
cord-194157-ak2gc3nz	219	4	,	,	PUNCT
cord-194157-ak2gc3nz	219	5	and	and	CCONJ
cord-194157-ak2gc3nz	220	1	sô	sô	NOUN
cord-194157-ak2gc3nz	220	2	λ	λ	PROPN
cord-194157-ak2gc3nz	221	1	λ	λ	PROPN
cord-194157-ak2gc3nz	222	1	i	i	PRON
cord-194157-ak2gc3nz	222	2	=	=	SYM
cord-194157-ak2gc3nz	222	3	p	p	NOUN
cord-194157-ak2gc3nz	222	4	p	p	NOUN
cord-194157-ak2gc3nz	222	5	i	i	PRON
cord-194157-ak2gc3nz	222	6	=	=	NOUN
cord-194157-ak2gc3nz	223	1	|a	|a	VERB
cord-194157-ak2gc3nz	224	1	i	i	PRON
cord-194157-ak2gc3nz	224	2	|	|	ADP
cord-194157-ak2gc3nz	224	3	|a|	|a|	PROPN
cord-194157-ak2gc3nz	224	4	,	,	PUNCT
cord-194157-ak2gc3nz	224	5	μ	μ	NOUN
cord-194157-ak2gc3nz	224	6	µ	µ	NOUN
cord-194157-ak2gc3nz	224	7	i	i	NOUN
cord-194157-ak2gc3nz	224	8	=	=	NOUN
cord-194157-ak2gc3nz	224	9	1	1	NUM
cord-194157-ak2gc3nz	224	10	−	−	PROPN
cord-194157-ak2gc3nz	224	11	p	p	NOUN
cord-194157-ak2gc3nz	224	12	1	1	NUM
cord-194157-ak2gc3nz	224	13	−	−	PROPN
cord-194157-ak2gc3nz	224	14	p	p	PROPN
cord-194157-ak2gc3nz	224	15	i	i	NOUN
cord-194157-ak2gc3nz	224	16	=	=	NOUN
cord-194157-ak2gc3nz	224	17	1	1	NUM
cord-194157-ak2gc3nz	224	18	−	−	PROPN
cord-194157-ak2gc3nz	224	19	|a	|a	PROPN
cord-194157-ak2gc3nz	224	20	i	i	PRON
cord-194157-ak2gc3nz	224	21	|	|	PUNCT
cord-194157-ak2gc3nz	224	22	|a|	|a|	X
cord-194157-ak2gc3nz	224	23	p	p	NOUN
cord-194157-ak2gc3nz	224	24	i	i	NOUN
cord-194157-ak2gc3nz	224	25	1	1	NUM
cord-194157-ak2gc3nz	225	1	−	−	PROPN
cord-194157-ak2gc3nz	225	2	p	p	PROPN
cord-194157-ak2gc3nz	225	3	i	i	NOUN
cord-194157-ak2gc3nz	225	4	=	=	NOUN
cord-194157-ak2gc3nz	225	5	1	1	NUM
cord-194157-ak2gc3nz	225	6	+	+	SYM
cord-194157-ak2gc3nz	225	7	1	1	NUM
cord-194157-ak2gc3nz	225	8	−	−	PROPN
cord-194157-ak2gc3nz	225	9	|a	|a	PROPN
cord-194157-ak2gc3nz	225	10	i	i	PRON
cord-194157-ak2gc3nz	225	11	|	|	PUNCT
cord-194157-ak2gc3nz	225	12	|a|	|a|	PROPN
cord-194157-ak2gc3nz	225	13	·	·	PUNCT
cord-194157-ak2gc3nz	225	14	p	p	X
cord-194157-ak2gc3nz	225	15	i	i	NOUN
cord-194157-ak2gc3nz	225	16	1	1	NUM
cord-194157-ak2gc3nz	225	17	−	−	PROPN
cord-194157-ak2gc3nz	225	18	p	p	PROPN
cord-194157-ak2gc3nz	225	19	i	i	INTJ
cord-194157-ak2gc3nz	225	20	.	.	PUNCT
cord-194157-ak2gc3nz	226	1	as	as	ADP
cord-194157-ak2gc3nz	226	2	such	such	ADJ
cord-194157-ak2gc3nz	226	3	,	,	PUNCT
cord-194157-ak2gc3nz	226	4	λ	λ	PROPN
cord-194157-ak2gc3nz	226	5	λ	λ	PROPN
cord-194157-ak2gc3nz	227	1	i	i	PRON
cord-194157-ak2gc3nz	227	2	≤	≤	PROPN
cord-194157-ak2gc3nz	227	3	1	1	NUM
cord-194157-ak2gc3nz	227	4	andμ	andμ	PROPN
cord-194157-ak2gc3nz	227	5	µ	µ	PROPN
cord-194157-ak2gc3nz	227	6	i	i	NOUN
cord-194157-ak2gc3nz	227	7	≥	≥	X
cord-194157-ak2gc3nz	227	8	1	1	NUM
cord-194157-ak2gc3nz	227	9	.	.	PUNCT
cord-194157-ak2gc3nz	228	1	to	to	PART
cord-194157-ak2gc3nz	228	2	obtain	obtain	VERB
cord-194157-ak2gc3nz	228	3	bounds	bound	NOUN
cord-194157-ak2gc3nz	228	4	in	in	ADP
cord-194157-ak2gc3nz	228	5	the	the	DET
cord-194157-ak2gc3nz	228	6	other	other	ADJ
cord-194157-ak2gc3nz	228	7	directions	direction	NOUN
cord-194157-ak2gc3nz	228	8	,	,	PUNCT
cord-194157-ak2gc3nz	228	9	we	we	PRON
cord-194157-ak2gc3nz	228	10	require	require	VERB
cord-194157-ak2gc3nz	228	11	a	a	DET
cord-194157-ak2gc3nz	228	12	lemma	lemma	NOUN
cord-194157-ak2gc3nz	228	13	:	:	PUNCT
cord-194157-ak2gc3nz	228	14	in	in	ADP
cord-194157-ak2gc3nz	228	15	this	this	DET
cord-194157-ak2gc3nz	228	16	paper	paper	NOUN
cord-194157-ak2gc3nz	228	17	,	,	PUNCT
cord-194157-ak2gc3nz	228	18	we	we	PRON
cord-194157-ak2gc3nz	228	19	introduced	introduce	VERB
cord-194157-ak2gc3nz	228	20	a	a	DET
cord-194157-ak2gc3nz	228	21	simple	simple	ADJ
cord-194157-ak2gc3nz	228	22	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	228	23	to	to	PART
cord-194157-ak2gc3nz	228	24	estimate	estimate	VERB
cord-194157-ak2gc3nz	228	25	sir	sir	NOUN
cord-194157-ak2gc3nz	228	26	parameters	parameter	NOUN
cord-194157-ak2gc3nz	228	27	from	from	ADP
cord-194157-ak2gc3nz	228	28	early	early	ADJ
cord-194157-ak2gc3nz	228	29	infections	infection	NOUN
cord-194157-ak2gc3nz	228	30	.	.	PUNCT
cord-194157-ak2gc3nz	229	1	there	there	PRON
cord-194157-ak2gc3nz	229	2	are	be	VERB
cord-194157-ak2gc3nz	229	3	many	many	ADJ
cord-194157-ak2gc3nz	229	4	interesting	interesting	ADJ
cord-194157-ak2gc3nz	229	5	directions	direction	NOUN
cord-194157-ak2gc3nz	229	6	for	for	ADP
cord-194157-ak2gc3nz	229	7	future	future	ADJ
cord-194157-ak2gc3nz	229	8	work	work	NOUN
cord-194157-ak2gc3nz	229	9	.	.	PUNCT
cord-194157-ak2gc3nz	230	1	first	first	ADV
cord-194157-ak2gc3nz	230	2	,	,	PUNCT
cord-194157-ak2gc3nz	230	3	we	we	PRON
cord-194157-ak2gc3nz	230	4	do	do	AUX
cord-194157-ak2gc3nz	230	5	not	not	PART
cord-194157-ak2gc3nz	230	6	believe	believe	VERB
cord-194157-ak2gc3nz	230	7	that	that	SCONJ
cord-194157-ak2gc3nz	230	8	theorem	theorem	NOUN
cord-194157-ak2gc3nz	230	9	7	7	NUM
cord-194157-ak2gc3nz	230	10	captures	capture	VERB
cord-194157-ak2gc3nz	230	11	the	the	DET
cord-194157-ak2gc3nz	230	12	true	true	ADJ
cord-194157-ak2gc3nz	230	13	performance	performance	NOUN
cord-194157-ak2gc3nz	230	14	of	of	ADP
cord-194157-ak2gc3nz	230	15	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	230	16	1	1	NUM
cord-194157-ak2gc3nz	230	17	,	,	PUNCT
cord-194157-ak2gc3nz	230	18	especially	especially	ADV
cord-194157-ak2gc3nz	230	19	in	in	ADP
cord-194157-ak2gc3nz	230	20	light	light	NOUN
cord-194157-ak2gc3nz	230	21	of	of	ADP
cord-194157-ak2gc3nz	230	22	figure	figure	NOUN
cord-194157-ak2gc3nz	230	23	1	1	NUM
cord-194157-ak2gc3nz	230	24	,	,	PUNCT
cord-194157-ak2gc3nz	230	25	and	and	CCONJ
cord-194157-ak2gc3nz	230	26	this	this	DET
cord-194157-ak2gc3nz	230	27	warrants	warrant	NOUN
cord-194157-ak2gc3nz	230	28	further	further	ADJ
cord-194157-ak2gc3nz	230	29	investigation	investigation	NOUN
cord-194157-ak2gc3nz	230	30	.	.	PUNCT
cord-194157-ak2gc3nz	231	1	next	next	ADV
cord-194157-ak2gc3nz	231	2	,	,	PUNCT
cord-194157-ak2gc3nz	231	3	it	it	PRON
cord-194157-ak2gc3nz	231	4	would	would	AUX
cord-194157-ak2gc3nz	231	5	be	be	AUX
cord-194157-ak2gc3nz	231	6	interesting	interesting	ADJ
cord-194157-ak2gc3nz	231	7	to	to	PART
cord-194157-ak2gc3nz	231	8	consider	consider	VERB
cord-194157-ak2gc3nz	231	9	other	other	ADJ
cord-194157-ak2gc3nz	231	10	types	type	NOUN
cord-194157-ak2gc3nz	231	11	of	of	ADP
cord-194157-ak2gc3nz	231	12	estimators	estimator	NOUN
cord-194157-ak2gc3nz	231	13	.	.	PUNCT
cord-194157-ak2gc3nz	232	1	notice	notice	VERB
cord-194157-ak2gc3nz	232	2	that	that	SCONJ
cord-194157-ak2gc3nz	232	3	since	since	SCONJ
cord-194157-ak2gc3nz	232	4	algorithm	algorithm	PROPN
cord-194157-ak2gc3nz	232	5	1	1	NUM
cord-194157-ak2gc3nz	232	6	explicitly	explicitly	ADV
cord-194157-ak2gc3nz	232	7	makes	make	VERB
cord-194157-ak2gc3nz	232	8	use	use	NOUN
cord-194157-ak2gc3nz	232	9	of	of	ADP
cord-194157-ak2gc3nz	232	10	certain	certain	ADJ
cord-194157-ak2gc3nz	232	11	properties	property	NOUN
cord-194157-ak2gc3nz	232	12	of	of	ADP
cord-194157-ak2gc3nz	232	13	the	the	DET
cord-194157-ak2gc3nz	232	14	underlying	underlie	VERB
cord-194157-ak2gc3nz	232	15	graph	graph	NOUN
cord-194157-ak2gc3nz	232	16	,	,	PUNCT
cord-194157-ak2gc3nz	232	17	it	it	PRON
cord-194157-ak2gc3nz	232	18	is	be	AUX
cord-194157-ak2gc3nz	232	19	clear	clear	ADJ
cord-194157-ak2gc3nz	232	20	why	why	SCONJ
cord-194157-ak2gc3nz	232	21	it	it	PRON
cord-194157-ak2gc3nz	232	22	fails	fail	VERB
cord-194157-ak2gc3nz	232	23	for	for	ADP
cord-194157-ak2gc3nz	232	24	the	the	DET
cord-194157-ak2gc3nz	232	25	complete	complete	ADJ
cord-194157-ak2gc3nz	232	26	graph	graph	NOUN
cord-194157-ak2gc3nz	232	27	.	.	PUNCT
cord-194157-ak2gc3nz	233	1	does	do	AUX
cord-194157-ak2gc3nz	233	2	the	the	DET
cord-194157-ak2gc3nz	233	3	behavior	behavior	NOUN
cord-194157-ak2gc3nz	233	4	of	of	ADP
cord-194157-ak2gc3nz	233	5	the	the	DET
cord-194157-ak2gc3nz	233	6	maximum	maximum	ADJ
cord-194157-ak2gc3nz	233	7	likelihood	likelihood	NOUN
cord-194157-ak2gc3nz	233	8	estimator	estimator	NOUN
cord-194157-ak2gc3nz	233	9	have	have	VERB
cord-194157-ak2gc3nz	233	10	a	a	DET
cord-194157-ak2gc3nz	233	11	similarly	similarly	ADV
cord-194157-ak2gc3nz	233	12	transparent	transparent	ADJ
cord-194157-ak2gc3nz	233	13	dependence	dependence	NOUN
cord-194157-ak2gc3nz	233	14	on	on	ADP
cord-194157-ak2gc3nz	233	15	the	the	DET
cord-194157-ak2gc3nz	233	16	underlying	underlie	VERB
cord-194157-ak2gc3nz	233	17	graph	graph	NOUN
cord-194157-ak2gc3nz	233	18	?	?	PUNCT
cord-194157-ak2gc3nz	234	1	we	we	PRON
cord-194157-ak2gc3nz	234	2	focused	focus	VERB
cord-194157-ak2gc3nz	234	3	on	on	ADP
cord-194157-ak2gc3nz	234	4	locally	locally	ADV
cord-194157-ak2gc3nz	234	5	tree	tree	NOUN
cord-194157-ak2gc3nz	234	6	-	-	PUNCT
cord-194157-ak2gc3nz	234	7	like	like	ADJ
cord-194157-ak2gc3nz	234	8	graphs	graph	NOUN
cord-194157-ak2gc3nz	234	9	in	in	ADP
cord-194157-ak2gc3nz	234	10	part	part	NOUN
cord-194157-ak2gc3nz	234	11	because	because	SCONJ
cord-194157-ak2gc3nz	234	12	there	there	PRON
cord-194157-ak2gc3nz	234	13	is	be	VERB
cord-194157-ak2gc3nz	234	14	a	a	DET
cord-194157-ak2gc3nz	234	15	rich	rich	ADJ
cord-194157-ak2gc3nz	234	16	literature	literature	NOUN
cord-194157-ak2gc3nz	234	17	on	on	ADP
cord-194157-ak2gc3nz	234	18	sir	sir	PROPN
cord-194157-ak2gc3nz	234	19	dynamics	dynamic	NOUN
cord-194157-ak2gc3nz	234	20	over	over	ADP
cord-194157-ak2gc3nz	234	21	infinite	infinite	ADJ
cord-194157-ak2gc3nz	234	22	trees	tree	NOUN
cord-194157-ak2gc3nz	234	23	,	,	PUNCT
cord-194157-ak2gc3nz	234	24	but	but	CCONJ
cord-194157-ak2gc3nz	234	25	it	it	PRON
cord-194157-ak2gc3nz	234	26	would	would	AUX
cord-194157-ak2gc3nz	234	27	be	be	AUX
cord-194157-ak2gc3nz	234	28	interesting	interesting	ADJ
cord-194157-ak2gc3nz	234	29	to	to	PART
cord-194157-ak2gc3nz	234	30	analyze	analyze	VERB
cord-194157-ak2gc3nz	234	31	the	the	DET
cord-194157-ak2gc3nz	234	32	performance	performance	NOUN
cord-194157-ak2gc3nz	234	33	of	of	ADP
cord-194157-ak2gc3nz	234	34	algorithm	algorithm	NOUN
cord-194157-ak2gc3nz	234	35	1	1	NUM
cord-194157-ak2gc3nz	234	36	on	on	ADP
cord-194157-ak2gc3nz	234	37	other	other	ADJ
cord-194157-ak2gc3nz	234	38	graph	graph	NOUN
cord-194157-ak2gc3nz	234	39	families	family	NOUN
cord-194157-ak2gc3nz	234	40	.	.	PUNCT
cord-194157-ak2gc3nz	235	1	also	also	ADV
cord-194157-ak2gc3nz	235	2	,	,	PUNCT
cord-194157-ak2gc3nz	235	3	there	there	PRON
cord-194157-ak2gc3nz	235	4	is	be	VERB
cord-194157-ak2gc3nz	235	5	a	a	DET
cord-194157-ak2gc3nz	235	6	multitude	multitude	NOUN
cord-194157-ak2gc3nz	235	7	of	of	ADP
cord-194157-ak2gc3nz	235	8	compartmental	compartmental	NOUN
cord-194157-ak2gc3nz	235	9	models	model	NOUN
cord-194157-ak2gc3nz	235	10	for	for	ADP
cord-194157-ak2gc3nz	235	11	epidemics	epidemic	NOUN
cord-194157-ak2gc3nz	235	12	with	with	ADP
cord-194157-ak2gc3nz	235	13	various	various	ADJ
cord-194157-ak2gc3nz	235	14	choices	choice	NOUN
cord-194157-ak2gc3nz	235	15	of	of	ADP
cord-194157-ak2gc3nz	235	16	probability	probability	NOUN
cord-194157-ak2gc3nz	235	17	distributions	distribution	NOUN
cord-194157-ak2gc3nz	235	18	for	for	ADP
cord-194157-ak2gc3nz	235	19	transition	transition	NOUN
cord-194157-ak2gc3nz	235	20	times	time	NOUN
cord-194157-ak2gc3nz	235	21	between	between	ADP
cord-194157-ak2gc3nz	235	22	compartments	compartment	NOUN
cord-194157-ak2gc3nz	235	23	.	.	PUNCT
cord-194157-ak2gc3nz	236	1	finally	finally	ADV
cord-194157-ak2gc3nz	236	2	,	,	PUNCT
cord-194157-ak2gc3nz	236	3	one	one	PRON
cord-194157-ak2gc3nz	236	4	might	might	AUX
cord-194157-ak2gc3nz	236	5	consider	consider	VERB
cord-194157-ak2gc3nz	236	6	alternative	alternative	ADJ
cord-194157-ak2gc3nz	236	7	models	model	NOUN
cord-194157-ak2gc3nz	236	8	for	for	ADP
cord-194157-ak2gc3nz	236	9	what	what	DET
cord-194157-ak2gc3nz	236	10	data	data	NOUN
cord-194157-ak2gc3nz	236	11	is	be	AUX
cord-194157-ak2gc3nz	236	12	available	available	ADJ
cord-194157-ak2gc3nz	236	13	.	.	PUNCT
cord-194157-ak2gc3nz	237	1	for	for	ADP
cord-194157-ak2gc3nz	237	2	example	example	NOUN
cord-194157-ak2gc3nz	237	3	,	,	PUNCT
cord-194157-ak2gc3nz	237	4	to	to	PART
cord-194157-ak2gc3nz	237	5	model	model	VERB
cord-194157-ak2gc3nz	237	6	asymptomatic	asymptomatic	NOUN
cord-194157-ak2gc3nz	237	7	infections	infection	NOUN
cord-194157-ak2gc3nz	237	8	,	,	PUNCT
cord-194157-ak2gc3nz	237	9	one	one	PRON
cord-194157-ak2gc3nz	237	10	might	might	AUX
cord-194157-ak2gc3nz	237	11	assume	assume	VERB
cord-194157-ak2gc3nz	237	12	that	that	SCONJ
cord-194157-ak2gc3nz	237	13	a	a	DET
cord-194157-ak2gc3nz	237	14	random	random	ADJ
cord-194157-ak2gc3nz	237	15	fraction	fraction	NOUN
cord-194157-ak2gc3nz	237	16	of	of	ADP
cord-194157-ak2gc3nz	237	17	infected	infected	ADJ
cord-194157-ak2gc3nz	237	18	vertices	vertex	NOUN
cord-194157-ak2gc3nz	237	19	are	be	AUX
cord-194157-ak2gc3nz	237	20	not	not	PART
cord-194157-ak2gc3nz	237	21	known	know	VERB
cord-194157-ak2gc3nz	237	22	to	to	PART
cord-194157-ak2gc3nz	237	23	be	be	AUX
cord-194157-ak2gc3nz	237	24	infected	infect	VERB
cord-194157-ak2gc3nz	237	25	.	.	PUNCT
cord-194157-ak2gc3nz	238	1	the	the	DET
cord-194157-ak2gc3nz	238	2	simple	simple	ADJ
cord-194157-ak2gc3nz	238	3	galton	galton	PROPN
cord-194157-ak2gc3nz	238	4	-	-	PUNCT
cord-194157-ak2gc3nz	238	5	watson	watson	PROPN
cord-194157-ak2gc3nz	238	6	process	process	NOUN
cord-194157-ak2gc3nz	238	7	:	:	PUNCT
cord-194157-ak2gc3nz	238	8	classical	classical	ADJ
cord-194157-ak2gc3nz	238	9	approach	approach	NOUN
cord-194157-ak2gc3nz	238	10	local	local	PROPN
cord-194157-ak2gc3nz	238	11	kesten	kesten	PROPN
cord-194157-ak2gc3nz	238	12	-	-	PUNCT
cord-194157-ak2gc3nz	238	13	mckay	mckay	PROPN
cord-194157-ak2gc3nz	238	14	law	law	PROPN
cord-194157-ak2gc3nz	238	15	for	for	ADP
cord-194157-ak2gc3nz	238	16	random	random	ADJ
cord-194157-ak2gc3nz	238	17	regular	regular	ADJ
cord-194157-ak2gc3nz	238	18	graphs	graph	NOUN
cord-194157-ak2gc3nz	238	19	the	the	DET
cord-194157-ak2gc3nz	238	20	first	first	ADJ
cord-194157-ak2gc3nz	238	21	birth	birth	NOUN
cord-194157-ak2gc3nz	238	22	problem	problem	NOUN
cord-194157-ak2gc3nz	238	23	for	for	ADP
cord-194157-ak2gc3nz	238	24	an	an	DET
cord-194157-ak2gc3nz	238	25	age	age	NOUN
cord-194157-ak2gc3nz	238	26	-	-	PUNCT
cord-194157-ak2gc3nz	238	27	dependent	dependent	ADJ
cord-194157-ak2gc3nz	238	28	branching	branching	NOUN
cord-194157-ak2gc3nz	238	29	process	process	NOUN
cord-194157-ak2gc3nz	238	30	a	a	DET
cord-194157-ak2gc3nz	238	31	contribution	contribution	NOUN
cord-194157-ak2gc3nz	238	32	to	to	ADP
cord-194157-ak2gc3nz	238	33	the	the	DET
cord-194157-ak2gc3nz	238	34	mathematical	mathematical	ADJ
cord-194157-ak2gc3nz	238	35	theory	theory	NOUN
cord-194157-ak2gc3nz	238	36	of	of	ADP
cord-194157-ak2gc3nz	238	37	epidemics	epidemic	NOUN
cord-194157-ak2gc3nz	238	38	limit	limit	VERB
cord-194157-ak2gc3nz	238	39	theorems	theorem	NOUN
cord-194157-ak2gc3nz	238	40	for	for	ADP
cord-194157-ak2gc3nz	238	41	sequences	sequence	NOUN
cord-194157-ak2gc3nz	238	42	of	of	ADP
cord-194157-ak2gc3nz	238	43	jump	jump	NOUN
cord-194157-ak2gc3nz	238	44	markov	markov	NOUN
cord-194157-ak2gc3nz	238	45	processes	process	VERB
cord-194157-ak2gc3nz	238	46	early	early	ADJ
cord-194157-ak2gc3nz	238	47	transmission	transmission	NOUN
cord-194157-ak2gc3nz	238	48	dynamics	dynamic	NOUN
cord-194157-ak2gc3nz	238	49	in	in	ADP
cord-194157-ak2gc3nz	238	50	wuhan	wuhan	PROPN
cord-194157-ak2gc3nz	238	51	,	,	PUNCT
cord-194157-ak2gc3nz	238	52	china	china	PROPN
cord-194157-ak2gc3nz	238	53	,	,	PUNCT
cord-194157-ak2gc3nz	238	54	of	of	ADP
cord-194157-ak2gc3nz	238	55	novel	novel	ADJ
cord-194157-ak2gc3nz	238	56	coronavirusinfected	coronavirusinfected	ADJ
cord-194157-ak2gc3nz	238	57	pneumonia	pneumonia	NOUN
cord-194157-ak2gc3nz	238	58	high	high	ADV
cord-194157-ak2gc3nz	238	59	-	-	PUNCT
cord-194157-ak2gc3nz	238	60	dimensional	dimensional	ADJ
cord-194157-ak2gc3nz	238	61	probability	probability	NOUN
cord-194157-ak2gc3nz	238	62	:	:	PUNCT
cord-194157-ak2gc3nz	238	63	an	an	DET
cord-194157-ak2gc3nz	238	64	introduction	introduction	NOUN
cord-194157-ak2gc3nz	238	65	with	with	ADP
cord-194157-ak2gc3nz	238	66	applications	application	NOUN
cord-194157-ak2gc3nz	238	67	in	in	ADP
cord-194157-ak2gc3nz	238	68	data	datum	NOUN
cord-194157-ak2gc3nz	238	69	science	science	NOUN
cord-194157-ak2gc3nz	238	70	the	the	DET
cord-194157-ak2gc3nz	238	71	authors	author	NOUN
cord-194157-ak2gc3nz	238	72	thank	thank	VERB
cord-194157-ak2gc3nz	238	73	boris	boris	PROPN
cord-194157-ak2gc3nz	238	74	alexeev	alexeev	PROPN
cord-194157-ak2gc3nz	238	75	for	for	ADP
cord-194157-ak2gc3nz	238	76	interesting	interesting	ADJ
cord-194157-ak2gc3nz	238	77	discussions	discussion	NOUN
cord-194157-ak2gc3nz	238	78	that	that	PRON
cord-194157-ak2gc3nz	238	79	inspired	inspire	VERB
cord-194157-ak2gc3nz	238	80	this	this	DET
cord-194157-ak2gc3nz	238	81	work	work	NOUN
cord-194157-ak2gc3nz	238	82	.	.	PUNCT
cord-194157-ak2gc3nz	239	1	dgm	dgm	PROPN
cord-194157-ak2gc3nz	239	2	was	be	AUX
cord-194157-ak2gc3nz	239	3	partially	partially	ADV
cord-194157-ak2gc3nz	239	4	supported	support	VERB
cord-194157-ak2gc3nz	239	5	by	by	ADP
cord-194157-ak2gc3nz	239	6	afosr	afosr	NOUN
cord-194157-ak2gc3nz	239	7	fa9550	fa9550	PROPN
cord-194157-ak2gc3nz	239	8	-	-	PUNCT
cord-194157-ak2gc3nz	239	9	18	18	NUM
cord-194157-ak2gc3nz	239	10	-	-	SYM
cord-194157-ak2gc3nz	239	11	1	1	NUM
cord-194157-ak2gc3nz	239	12	-	-	SYM
cord-194157-ak2gc3nz	239	13	0107	0107	NUM
cord-194157-ak2gc3nz	239	14	and	and	CCONJ
cord-194157-ak2gc3nz	239	15	nsf	nsf	NOUN
cord-194157-ak2gc3nz	239	16	dms	dms	NOUN
cord-194157-ak2gc3nz	239	17	1829955	1829955	NUM
cord-194157-ak2gc3nz	239	18	.	.	PUNCT
cord-194157-ak2gc3nz	240	1	since	since	SCONJ
cord-194157-ak2gc3nz	240	2	u	u	PROPN
cord-194157-ak2gc3nz	240	3	(	(	PUNCT
cord-194157-ak2gc3nz	240	4	t	t	NOUN
cord-194157-ak2gc3nz	240	5	0	0	NUM
cord-194157-ak2gc3nz	240	6	)	)	PUNCT
cord-194157-ak2gc3nz	240	7	induces	induce	VERB
cord-194157-ak2gc3nz	240	8	a	a	DET
cord-194157-ak2gc3nz	240	9	subtree	subtree	NOUN
cord-194157-ak2gc3nz	240	10	of	of	ADP
cord-194157-ak2gc3nz	240	11	g	g	PROPN
cord-194157-ak2gc3nz	240	12	,	,	PUNCT
cord-194157-ak2gc3nz	240	13	lemma	lemma	NOUN
cord-194157-ak2gc3nz	240	14	13	13	NUM
cord-194157-ak2gc3nz	240	15	gives	give	VERB
cord-194157-ak2gc3nz	240	16	that	that	SCONJ
cord-194157-ak2gc3nz	240	17	|a|	|a|	PROPN
cord-194157-ak2gc3nz	240	18	≥	≥	NOUN
cord-194157-ak2gc3nz	240	19	(	(	PUNCT
cord-194157-ak2gc3nz	240	20	1	1	NUM
cord-194157-ak2gc3nz	240	21	−	−	SYM
cord-194157-ak2gc3nz	240	22	2	2	NUM
cord-194157-ak2gc3nz	240	23	d	d	NOUN
cord-194157-ak2gc3nz	240	24	)	)	PUNCT
cord-194157-ak2gc3nz	240	25	|u	|u	ADJ
cord-194157-ak2gc3nz	240	26	(	(	PUNCT
cord-194157-ak2gc3nz	240	27	t	t	NOUN
cord-194157-ak2gc3nz	240	28	0	0	NUM
cord-194157-ak2gc3nz	240	29	)	)	PUNCT
cord-194157-ak2gc3nz	240	30	|	|	NOUN
cord-194157-ak2gc3nz	240	31	,	,	PUNCT
cord-194157-ak2gc3nz	240	32	and	and	CCONJ
cord-194157-ak2gc3nz	240	33	sowhere	sowhere	VERB
cord-194157-ak2gc3nz	240	34	the	the	DET
cord-194157-ak2gc3nz	240	35	last	last	ADJ
cord-194157-ak2gc3nz	240	36	two	two	NUM
cord-194157-ak2gc3nz	240	37	steps	step	NOUN
cord-194157-ak2gc3nz	240	38	use	use	VERB
cord-194157-ak2gc3nz	240	39	the	the	DET
cord-194157-ak2gc3nz	240	40	fact	fact	NOUN
cord-194157-ak2gc3nz	240	41	that	that	SCONJ
cord-194157-ak2gc3nz	240	42	d	d	X
cord-194157-ak2gc3nz	240	43	≥	≥	NOUN
cord-194157-ak2gc3nz	240	44	3	3	NUM
cord-194157-ak2gc3nz	240	45	and	and	CCONJ
cord-194157-ak2gc3nz	240	46	the	the	DET
cord-194157-ak2gc3nz	240	47	choice	choice	NOUN
cord-194157-ak2gc3nz	240	48	=	=	NOUN
cord-194157-ak2gc3nz	240	49	(	(	PUNCT
cord-194157-ak2gc3nz	240	50	1	1	NUM
cord-194157-ak2gc3nz	240	51	+	+	SYM
cord-194157-ak2gc3nz	240	52	0	0	NUM
cord-194157-ak2gc3nz	240	53	)	)	PUNCT
cord-194157-ak2gc3nz	240	54	2µ	2µ	NUM
cord-194157-ak2gc3nz	240	55	µ+λ	µ+λ	PUNCT
cord-194157-ak2gc3nz	240	56	for	for	ADP
cord-194157-ak2gc3nz	240	57	some	some	DET
cord-194157-ak2gc3nz	240	58	small	small	ADJ
cord-194157-ak2gc3nz	240	59	0	0	NUM
cord-194157-ak2gc3nz	240	60	>	>	SYM
cord-194157-ak2gc3nz	240	61	0	0	NUM
cord-194157-ak2gc3nz	240	62	.	.	PUNCT
cord-194157-ak2gc3nz	241	1	it	it	PRON
cord-194157-ak2gc3nz	241	2	follows	follow	VERB
cord-194157-ak2gc3nz	241	3	thatwhere	thatwhere	ADV
cord-194157-ak2gc3nz	241	4	the	the	DET
cord-194157-ak2gc3nz	241	5	last	last	ADJ
cord-194157-ak2gc3nz	241	6	two	two	NUM
cord-194157-ak2gc3nz	241	7	steps	step	NOUN
cord-194157-ak2gc3nz	241	8	use	use	VERB
cord-194157-ak2gc3nz	241	9	the	the	DET
cord-194157-ak2gc3nz	241	10	facts	fact	NOUN
cord-194157-ak2gc3nz	241	11	that	that	PRON
cord-194157-ak2gc3nz	241	12	λ	λ	PROPN
cord-194157-ak2gc3nz	241	13	≥	≥	NOUN
cord-194157-ak2gc3nz	241	14	6µ	6µ	NOUN
cord-194157-ak2gc3nz	241	15	and	and	CCONJ
cord-194157-ak2gc3nz	241	16	0	0	NUM
cord-194157-ak2gc3nz	241	17	is	be	AUX
cord-194157-ak2gc3nz	241	18	small	small	ADJ
cord-194157-ak2gc3nz	241	19	.	.	PUNCT
cord-194157-ak2gc3nz	242	1	next	next	ADV
cord-194157-ak2gc3nz	242	2	,	,	PUNCT
cord-194157-ak2gc3nz	242	3	considersincek	considersincek	PROPN
cord-194157-ak2gc3nz	242	4	and	and	CCONJ
cord-194157-ak2gc3nz	242	5	τ	τ	NOUN
cord-194157-ak2gc3nz	242	6	both	both	PRON
cord-194157-ak2gc3nz	242	7	increase	increase	VERB
cord-194157-ak2gc3nz	242	8	with	with	ADP
cord-194157-ak2gc3nz	242	9	factors	factor	NOUN
cord-194157-ak2gc3nz	242	10	of	of	ADP
cord-194157-ak2gc3nz	242	11	log	log	NOUN
cord-194157-ak2gc3nz	242	12	n	n	NOUN
cord-194157-ak2gc3nz	242	13	,	,	PUNCT
cord-194157-ak2gc3nz	242	14	lemma	lemma	NOUN
cord-194157-ak2gc3nz	242	15	6	6	NUM
cord-194157-ak2gc3nz	242	16	implies	imply	VERB
cord-194157-ak2gc3nz	242	17	that	that	SCONJ
cord-194157-ak2gc3nz	242	18	(	(	PUNCT
cord-194157-ak2gc3nz	242	19	λ	λ	PROPN
cord-194157-ak2gc3nz	242	20	i	i	INTJ
cord-194157-ak2gc3nz	242	21	,	,	PUNCT
cord-194157-ak2gc3nz	242	22	μ	μ	X
cord-194157-ak2gc3nz	242	23	i	i	NOUN
cord-194157-ak2gc3nz	242	24	)	)	PUNCT
cord-194157-ak2gc3nz	242	25	converges	converge	VERB
cord-194157-ak2gc3nz	242	26	to	to	ADP
cord-194157-ak2gc3nz	242	27	(	(	PUNCT
cord-194157-ak2gc3nz	242	28	λ	λ	PROPN
cord-194157-ak2gc3nz	242	29	,	,	PUNCT
cord-194157-ak2gc3nz	242	30	µ	µ	PROPN
cord-194157-ak2gc3nz	242	31	)	)	PUNCT
cord-194157-ak2gc3nz	242	32	in	in	ADP
cord-194157-ak2gc3nz	242	33	probability	probability	NOUN
cord-194157-ak2gc3nz	242	34	.	.	PUNCT
cord-194157-ak2gc3nz	243	1	as	as	ADP
cord-194157-ak2gc3nz	243	2	such	such	ADJ
cord-194157-ak2gc3nz	243	3	,	,	PUNCT
cord-194157-ak2gc3nz	243	4	where	where	SCONJ
cord-194157-ak2gc3nz	243	5	the	the	DET
cord-194157-ak2gc3nz	243	6	last	last	ADJ
cord-194157-ak2gc3nz	243	7	step	step	NOUN
cord-194157-ak2gc3nz	243	8	holds	hold	VERB
cord-194157-ak2gc3nz	243	9	when	when	SCONJ
cord-194157-ak2gc3nz	243	10	n	n	ADV
cord-194157-ak2gc3nz	243	11	is	be	AUX
cord-194157-ak2gc3nz	243	12	large	large	ADJ
cord-194157-ak2gc3nz	243	13	.	.	PUNCT
cord-194157-ak2gc3nz	244	1	the	the	DET
cord-194157-ak2gc3nz	244	2	result	result	NOUN
cord-194157-ak2gc3nz	244	3	then	then	ADV
cord-194157-ak2gc3nz	244	4	follows	follow	VERB
cord-194157-ak2gc3nz	244	5	from	from	ADP
cord-194157-ak2gc3nz	244	6	the	the	DET
cord-194157-ak2gc3nz	244	7	fact	fact	NOUN
cord-194157-ak2gc3nz	244	8	that	that	SCONJ
cord-194157-ak2gc3nz	244	9	(	(	PUNCT
cord-194157-ak2gc3nz	244	10	λ	λ	PROPN
cord-194157-ak2gc3nz	244	11	i	i	INTJ
cord-194157-ak2gc3nz	244	12	,	,	PUNCT
cord-194157-ak2gc3nz	244	13	μ	μ	X
cord-194157-ak2gc3nz	244	14	i	i	NOUN
cord-194157-ak2gc3nz	244	15	)	)	PUNCT
cord-194157-ak2gc3nz	244	16	converges	converge	VERB
cord-194157-ak2gc3nz	244	17	to	to	ADP
cord-194157-ak2gc3nz	244	18	(	(	PUNCT
cord-194157-ak2gc3nz	244	19	λ	λ	PROPN
cord-194157-ak2gc3nz	244	20	,	,	PUNCT
cord-194157-ak2gc3nz	244	21	µ	µ	PROPN
cord-194157-ak2gc3nz	244	22	)	)	PUNCT
cord-194157-ak2gc3nz	244	23	in	in	ADP
cord-194157-ak2gc3nz	244	24	probability	probability	NOUN
cord-194157-ak2gc3nz	244	25	.	.	PUNCT
