id	sid	tid	token	lemma	pos
ap-760	1	1	ap05_5.vp	ap05_5.vp	NOUN
ap-760	1	2	1	1	NUM
ap-760	1	3	introduction	introduction	NOUN
ap-760	1	4	in	in	ADP
ap-760	1	5	recent	recent	ADJ
ap-760	1	6	years	year	NOUN
ap-760	1	7	,	,	PUNCT
ap-760	1	8	the	the	DET
ap-760	1	9	combinatorial	combinatorial	ADJ
ap-760	1	10	properties	property	NOUN
ap-760	1	11	of	of	ADP
ap-760	1	12	finite	finite	NOUN
ap-760	1	13	and	and	CCONJ
ap-760	1	14	infinite	infinite	ADJ
ap-760	1	15	words	word	NOUN
ap-760	1	16	have	have	AUX
ap-760	1	17	become	become	VERB
ap-760	1	18	significantly	significantly	ADV
ap-760	1	19	important	important	ADJ
ap-760	1	20	in	in	ADP
ap-760	1	21	fields	field	NOUN
ap-760	1	22	of	of	ADP
ap-760	1	23	physics	physics	NOUN
ap-760	1	24	,	,	PUNCT
ap-760	1	25	biology	biology	NOUN
ap-760	1	26	,	,	PUNCT
ap-760	1	27	mathematics	mathematic	NOUN
ap-760	1	28	and	and	CCONJ
ap-760	1	29	computer	computer	NOUN
ap-760	1	30	science	science	NOUN
ap-760	1	31	.	.	PUNCT
ap-760	2	1	one	one	NUM
ap-760	2	2	of	of	ADP
ap-760	2	3	the	the	DET
ap-760	2	4	first	first	ADJ
ap-760	2	5	impulses	impulse	NOUN
ap-760	2	6	for	for	ADP
ap-760	2	7	extensive	extensive	ADJ
ap-760	2	8	research	research	NOUN
ap-760	2	9	in	in	ADP
ap-760	2	10	this	this	DET
ap-760	2	11	field	field	NOUN
ap-760	2	12	was	be	AUX
ap-760	2	13	the	the	DET
ap-760	2	14	discovery	discovery	NOUN
ap-760	2	15	of	of	ADP
ap-760	2	16	quasi	quasi	NOUN
ap-760	2	17	-	-	NOUN
ap-760	2	18	crystals	crystal	NOUN
ap-760	2	19	.	.	PUNCT
ap-760	3	1	normal	normal	ADJ
ap-760	3	2	crystal	crystal	NOUN
ap-760	3	3	structures	structure	NOUN
ap-760	3	4	show	show	VERB
ap-760	3	5	rotational	rotational	ADJ
ap-760	3	6	and	and	CCONJ
ap-760	3	7	translational	translational	ADJ
ap-760	3	8	symmetry	symmetry	NOUN
ap-760	3	9	.	.	PUNCT
ap-760	4	1	in	in	ADP
ap-760	4	2	1982	1982	NUM
ap-760	4	3	,	,	PUNCT
ap-760	4	4	however	however	ADV
ap-760	4	5	,	,	PUNCT
ap-760	4	6	dan	dan	PROPN
ap-760	4	7	shechtman	shechtman	PROPN
ap-760	4	8	discovered	discover	VERB
ap-760	4	9	an	an	DET
ap-760	4	10	aperiodic	aperiodic	ADJ
ap-760	4	11	structure	structure	NOUN
ap-760	4	12	(	(	PUNCT
ap-760	4	13	which	which	PRON
ap-760	4	14	was	be	AUX
ap-760	4	15	formed	form	VERB
ap-760	4	16	by	by	ADP
ap-760	4	17	rapidly	rapidly	ADV
ap-760	4	18	-	-	PUNCT
ap-760	4	19	quenched	quench	VERB
ap-760	4	20	aluminum	aluminum	NOUN
ap-760	4	21	alloys	alloy	NOUN
ap-760	4	22	)	)	PUNCT
ap-760	4	23	that	that	PRON
ap-760	4	24	has	have	VERB
ap-760	4	25	a	a	DET
ap-760	4	26	perfect	perfect	ADJ
ap-760	4	27	long	long	ADJ
ap-760	4	28	-	-	PUNCT
ap-760	4	29	range	range	NOUN
ap-760	4	30	order	order	NOUN
ap-760	4	31	,	,	PUNCT
ap-760	4	32	but	but	CCONJ
ap-760	4	33	no	no	DET
ap-760	4	34	three	three	NUM
ap-760	4	35	-	-	PUNCT
ap-760	4	36	dimensional	dimensional	ADJ
ap-760	4	37	translational	translational	ADJ
ap-760	4	38	periodicity	periodicity	NOUN
ap-760	4	39	(	(	PUNCT
ap-760	4	40	see	see	VERB
ap-760	5	1	e.g.	e.g.	ADV
ap-760	5	2	[	[	X
ap-760	5	3	1	1	NUM
ap-760	5	4	]	]	PUNCT
ap-760	5	5	or	or	CCONJ
ap-760	5	6	[	[	X
ap-760	5	7	2	2	NUM
ap-760	5	8	]	]	PUNCT
ap-760	5	9	)	)	PUNCT
ap-760	5	10	.	.	PUNCT
ap-760	6	1	since	since	SCONJ
ap-760	6	2	then	then	ADV
ap-760	6	3	many	many	ADJ
ap-760	6	4	stable	stable	ADJ
ap-760	6	5	and	and	CCONJ
ap-760	6	6	unstable	unstable	ADJ
ap-760	6	7	aperiodic	aperiodic	ADJ
ap-760	6	8	structures	structure	NOUN
ap-760	6	9	have	have	AUX
ap-760	6	10	been	be	AUX
ap-760	6	11	discovered	discover	VERB
ap-760	6	12	.	.	PUNCT
ap-760	7	1	they	they	PRON
ap-760	7	2	are	be	AUX
ap-760	7	3	now	now	ADV
ap-760	7	4	known	know	VERB
ap-760	7	5	as	as	ADP
ap-760	7	6	quasi	quasi	NOUN
ap-760	7	7	-	-	NOUN
ap-760	7	8	crystals	crystal	NOUN
ap-760	7	9	.	.	PUNCT
ap-760	8	1	the	the	DET
ap-760	8	2	problematics	problematic	NOUN
ap-760	8	3	of	of	ADP
ap-760	8	4	aperiodic	aperiodic	ADJ
ap-760	8	5	structures	structure	NOUN
ap-760	8	6	has	have	AUX
ap-760	8	7	been	be	AUX
ap-760	8	8	studied	study	VERB
ap-760	8	9	from	from	ADP
ap-760	8	10	various	various	ADJ
ap-760	8	11	points	point	NOUN
ap-760	8	12	of	of	ADP
ap-760	8	13	view	view	NOUN
ap-760	8	14	and	and	CCONJ
ap-760	8	15	there	there	PRON
ap-760	8	16	are	be	VERB
ap-760	8	17	numerous	numerous	ADJ
ap-760	8	18	relations	relation	NOUN
ap-760	8	19	with	with	ADP
ap-760	8	20	other	other	ADJ
ap-760	8	21	applications	application	NOUN
ap-760	8	22	(	(	PUNCT
ap-760	8	23	besides	besides	SCONJ
ap-760	8	24	solid	solid	ADJ
ap-760	8	25	-	-	PUNCT
ap-760	8	26	state	state	NOUN
ap-760	8	27	physics	physics	NOUN
ap-760	8	28	)	)	PUNCT
ap-760	8	29	,	,	PUNCT
ap-760	8	30	such	such	ADJ
ap-760	8	31	as	as	ADP
ap-760	8	32	pseudo	pseudo	NOUN
ap-760	8	33	-	-	ADJ
ap-760	8	34	random	random	ADJ
ap-760	8	35	number	number	NOUN
ap-760	8	36	generators	generator	NOUN
ap-760	9	1	[	[	X
ap-760	9	2	3	3	NUM
ap-760	9	3	]	]	PUNCT
ap-760	9	4	,	,	PUNCT
ap-760	9	5	pattern	pattern	NOUN
ap-760	9	6	recognition	recognition	NOUN
ap-760	9	7	and	and	CCONJ
ap-760	9	8	symbolic	symbolic	ADJ
ap-760	9	9	dynamical	dynamical	ADJ
ap-760	9	10	systems	system	NOUN
ap-760	9	11	.	.	PUNCT
ap-760	10	1	early	early	ADJ
ap-760	10	2	results	result	NOUN
ap-760	10	3	are	be	AUX
ap-760	10	4	reported	report	VERB
ap-760	10	5	in	in	ADP
ap-760	10	6	[	[	X
ap-760	10	7	4	4	NUM
ap-760	10	8	]	]	PUNCT
ap-760	10	9	or	or	CCONJ
ap-760	10	10	[	[	X
ap-760	10	11	5	5	NUM
ap-760	10	12	]	]	PUNCT
ap-760	10	13	.	.	PUNCT
ap-760	11	1	this	this	DET
ap-760	11	2	paper	paper	NOUN
ap-760	11	3	is	be	AUX
ap-760	11	4	devoted	devote	VERB
ap-760	11	5	to	to	ADP
ap-760	11	6	sturmian	sturmian	NOUN
ap-760	11	7	words	word	NOUN
ap-760	11	8	.	.	PUNCT
ap-760	12	1	sturmian	sturmian	ADJ
ap-760	12	2	words	word	NOUN
ap-760	12	3	are	be	AUX
ap-760	12	4	infinite	infinite	ADJ
ap-760	12	5	words	word	NOUN
ap-760	12	6	over	over	ADP
ap-760	12	7	a	a	DET
ap-760	12	8	binary	binary	ADJ
ap-760	12	9	alphabet	alphabet	NOUN
ap-760	12	10	with	with	ADP
ap-760	12	11	exactly	exactly	ADV
ap-760	12	12	n	n	CCONJ
ap-760	12	13	�	�	NOUN
ap-760	12	14	1	1	NUM
ap-760	12	15	factors	factor	NOUN
ap-760	12	16	of	of	ADP
ap-760	12	17	length	length	NOUN
ap-760	12	18	n	n	NOUN
ap-760	12	19	for	for	ADP
ap-760	12	20	each	each	DET
ap-760	12	21	n	n	PRON
ap-760	12	22	�	�	PROPN
ap-760	12	23	0	0	NUM
ap-760	12	24	.	.	PUNCT
ap-760	13	1	they	they	PRON
ap-760	13	2	represent	represent	VERB
ap-760	13	3	the	the	DET
ap-760	13	4	simplest	simple	ADJ
ap-760	13	5	family	family	NOUN
ap-760	13	6	of	of	ADP
ap-760	13	7	quasi	quasi	NOUN
ap-760	13	8	-	-	NOUN
ap-760	13	9	crystals	crystal	NOUN
ap-760	13	10	.	.	PUNCT
ap-760	14	1	the	the	DET
ap-760	14	2	history	history	NOUN
ap-760	14	3	of	of	ADP
ap-760	14	4	sturmian	sturmian	ADJ
ap-760	14	5	words	word	NOUN
ap-760	14	6	dates	date	VERB
ap-760	14	7	back	back	ADV
ap-760	14	8	to	to	ADP
ap-760	14	9	the	the	DET
ap-760	14	10	astronomer	astronomer	NOUN
ap-760	14	11	j.	j.	PROPN
ap-760	14	12	bernoulli	bernoulli	PROPN
ap-760	14	13	iii	iii	PROPN
ap-760	15	1	[	[	X
ap-760	15	2	6	6	NUM
ap-760	15	3	]	]	PUNCT
ap-760	15	4	.	.	PUNCT
ap-760	16	1	he	he	PRON
ap-760	16	2	considered	consider	VERB
ap-760	16	3	the	the	DET
ap-760	16	4	sequence	sequence	NOUN
ap-760	16	5	�	�	PROPN
ap-760	16	6	�	�	PROPN
ap-760	16	7	�	�	PROPN
ap-760	16	8	�	�	PROPN
ap-760	16	9	(	(	PUNCT
ap-760	16	10	)	)	PUNCT
ap-760	16	11	n	n	CCONJ
ap-760	16	12	n	n	CCONJ
ap-760	16	13	�	�	PROPN
ap-760	16	14	�	�	PROPN
ap-760	16	15	�	�	PROPN
ap-760	16	16	�	�	PROPN
ap-760	16	17	1	1	NUM
ap-760	16	18	1	1	NUM
ap-760	16	19	2	2	NUM
ap-760	16	20	1	1	NUM
ap-760	16	21	2	2	NUM
ap-760	16	22	�	�	PROPN
ap-760	16	23	�	�	PROPN
ap-760	16	24	,	,	PUNCT
ap-760	16	25	where	where	SCONJ
ap-760	16	26	n	n	X
ap-760	16	27	�	�	PROPN
ap-760	16	28	1	1	NUM
ap-760	16	29	and	and	CCONJ
ap-760	16	30	�	�	PROPN
ap-760	16	31	is	be	AUX
ap-760	16	32	a	a	DET
ap-760	16	33	positive	positive	ADJ
ap-760	16	34	irrational	irrational	NOUN
ap-760	16	35	.	.	PUNCT
ap-760	17	1	based	base	VERB
ap-760	17	2	on	on	ADP
ap-760	17	3	the	the	DET
ap-760	17	4	continued	continue	VERB
ap-760	17	5	fraction	fraction	NOUN
ap-760	17	6	expansion	expansion	NOUN
ap-760	17	7	of	of	ADP
ap-760	17	8	�	�	PROPN
ap-760	17	9	,	,	PUNCT
ap-760	17	10	he	he	PRON
ap-760	17	11	gave	give	VERB
ap-760	17	12	(	(	PUNCT
ap-760	17	13	without	without	ADP
ap-760	17	14	proof	proof	NOUN
ap-760	17	15	)	)	PUNCT
ap-760	17	16	an	an	DET
ap-760	17	17	explicit	explicit	ADJ
ap-760	17	18	description	description	NOUN
ap-760	17	19	of	of	ADP
ap-760	17	20	the	the	DET
ap-760	17	21	terms	term	NOUN
ap-760	17	22	of	of	ADP
ap-760	17	23	the	the	DET
ap-760	17	24	sequence	sequence	NOUN
ap-760	17	25	.	.	PUNCT
ap-760	18	1	there	there	PRON
ap-760	18	2	also	also	ADV
ap-760	18	3	exist	exist	VERB
ap-760	18	4	some	some	DET
ap-760	18	5	early	early	ADJ
ap-760	18	6	works	work	NOUN
ap-760	18	7	by	by	ADP
ap-760	18	8	christoffel	christoffel	NOUN
ap-760	18	9	and	and	CCONJ
ap-760	18	10	markoff	markoff	NOUN
ap-760	18	11	.	.	PUNCT
ap-760	19	1	a.	a.	PROPN
ap-760	19	2	a.	a.	PROPN
ap-760	19	3	markoff	markoff	PROPN
ap-760	19	4	was	be	AUX
ap-760	19	5	the	the	DET
ap-760	19	6	first	first	ADJ
ap-760	19	7	to	to	PART
ap-760	19	8	prove	prove	VERB
ap-760	19	9	the	the	DET
ap-760	19	10	validity	validity	NOUN
ap-760	19	11	of	of	ADP
ap-760	19	12	bernoulli	bernoulli	PROPN
ap-760	19	13	’s	’s	PART
ap-760	19	14	description	description	NOUN
ap-760	19	15	.	.	PUNCT
ap-760	20	1	he	he	PRON
ap-760	20	2	did	do	VERB
ap-760	20	3	that	that	PRON
ap-760	20	4	in	in	ADP
ap-760	20	5	his	his	PRON
ap-760	20	6	work	work	NOUN
ap-760	20	7	[	[	X
ap-760	20	8	7	7	NUM
ap-760	20	9	]	]	PUNCT
ap-760	20	10	,	,	PUNCT
ap-760	20	11	where	where	SCONJ
ap-760	20	12	he	he	PRON
ap-760	20	13	described	describe	VERB
ap-760	20	14	the	the	DET
ap-760	20	15	terms	term	NOUN
ap-760	20	16	of	of	ADP
ap-760	20	17	the	the	DET
ap-760	20	18	sequence	sequence	NOUN
ap-760	20	19	�	�	PROPN
ap-760	20	20	�	�	PROPN
ap-760	20	21	�	�	PROPN
ap-760	20	22	�	�	PROPN
ap-760	20	23	�	�	PROPN
ap-760	20	24	�	�	PROPN
ap-760	20	25	(	(	PUNCT
ap-760	20	26	)	)	PUNCT
ap-760	20	27	n	n	CCONJ
ap-760	20	28	n	n	CCONJ
ap-760	20	29	�	�	PROPN
ap-760	20	30	�	�	PROPN
ap-760	20	31	�	�	PROPN
ap-760	20	32	1	1	NUM
ap-760	20	33	�	�	PROPN
ap-760	20	34	�	�	PROPN
ap-760	20	35	�	�	PROPN
ap-760	20	36	,	,	PUNCT
ap-760	20	37	n	n	X
ap-760	20	38	�	�	PROPN
ap-760	20	39	1	1	NUM
ap-760	20	40	(	(	PUNCT
ap-760	20	41	later	later	ADV
ap-760	20	42	known	know	VERB
ap-760	20	43	as	as	ADP
ap-760	20	44	a	a	DET
ap-760	20	45	mechanical	mechanical	ADJ
ap-760	20	46	sequence	sequence	NOUN
ap-760	20	47	)	)	PUNCT
ap-760	20	48	.	.	PUNCT
ap-760	21	1	the	the	DET
ap-760	21	2	first	first	ADJ
ap-760	21	3	detailed	detailed	ADJ
ap-760	21	4	investigation	investigation	NOUN
ap-760	21	5	of	of	ADP
ap-760	21	6	sturmian	sturmian	ADJ
ap-760	21	7	words	word	NOUN
ap-760	21	8	is	be	AUX
ap-760	21	9	due	due	ADJ
ap-760	21	10	to	to	ADP
ap-760	21	11	hedlund	hedlund	NOUN
ap-760	21	12	and	and	CCONJ
ap-760	21	13	morse	morse	VERB
ap-760	21	14	[	[	X
ap-760	21	15	4	4	NUM
ap-760	21	16	]	]	PUNCT
ap-760	21	17	,	,	PUNCT
ap-760	21	18	who	who	PRON
ap-760	21	19	studied	study	VERB
ap-760	21	20	such	such	ADJ
ap-760	21	21	words	word	NOUN
ap-760	21	22	from	from	ADP
ap-760	21	23	the	the	DET
ap-760	21	24	point	point	NOUN
ap-760	21	25	of	of	ADP
ap-760	21	26	view	view	NOUN
ap-760	21	27	of	of	ADP
ap-760	21	28	symbolic	symbolic	ADJ
ap-760	21	29	dynamics	dynamic	NOUN
ap-760	21	30	and	and	CCONJ
ap-760	21	31	,	,	PUNCT
ap-760	21	32	in	in	ADP
ap-760	21	33	fact	fact	NOUN
ap-760	21	34	,	,	PUNCT
ap-760	21	35	introduced	introduce	VERB
ap-760	21	36	the	the	DET
ap-760	21	37	term	term	NOUN
ap-760	21	38	„	„	PUNCT
ap-760	21	39	sturmian	sturmian	NOUN
ap-760	21	40	“	"	PUNCT
ap-760	21	41	;	;	PUNCT
ap-760	21	42	named	name	VERB
ap-760	21	43	after	after	ADP
ap-760	21	44	the	the	DET
ap-760	21	45	mathematician	mathematician	ADJ
ap-760	21	46	charles	charles	PROPN
ap-760	21	47	francois	francois	PROPN
ap-760	21	48	sturm	sturm	PROPN
ap-760	21	49	.	.	PUNCT
ap-760	22	1	it	it	PRON
ap-760	22	2	appears	appear	VERB
ap-760	22	3	that	that	SCONJ
ap-760	22	4	there	there	PRON
ap-760	22	5	are	be	VERB
ap-760	22	6	several	several	ADJ
ap-760	22	7	equivalent	equivalent	ADJ
ap-760	22	8	ways	way	NOUN
ap-760	22	9	of	of	ADP
ap-760	22	10	constructing	construct	VERB
ap-760	22	11	sturmian	sturmian	NOUN
ap-760	22	12	words	word	NOUN
ap-760	22	13	.	.	PUNCT
ap-760	23	1	we	we	PRON
ap-760	23	2	will	will	AUX
ap-760	23	3	describe	describe	VERB
ap-760	23	4	some	some	PRON
ap-760	23	5	of	of	ADP
ap-760	23	6	them	they	PRON
ap-760	23	7	and	and	CCONJ
ap-760	23	8	show	show	VERB
ap-760	23	9	the	the	DET
ap-760	23	10	relationship	relationship	NOUN
ap-760	23	11	with	with	ADP
ap-760	23	12	other	other	ADJ
ap-760	23	13	notions	notion	NOUN
ap-760	23	14	from	from	ADP
ap-760	23	15	the	the	DET
ap-760	23	16	combinatorics	combinatoric	NOUN
ap-760	23	17	on	on	ADP
ap-760	23	18	words	word	NOUN
ap-760	23	19	such	such	ADJ
ap-760	23	20	as	as	ADP
ap-760	23	21	palindromes	palindrome	NOUN
ap-760	23	22	and	and	CCONJ
ap-760	23	23	return	return	VERB
ap-760	23	24	words	word	NOUN
ap-760	23	25	.	.	PUNCT
ap-760	24	1	then	then	ADV
ap-760	24	2	we	we	PRON
ap-760	24	3	make	make	VERB
ap-760	24	4	some	some	DET
ap-760	24	5	notes	note	NOUN
ap-760	24	6	on	on	ADP
ap-760	24	7	an	an	DET
ap-760	24	8	extension	extension	NOUN
ap-760	24	9	of	of	ADP
ap-760	24	10	sturmian	sturmian	ADJ
ap-760	24	11	words	word	NOUN
ap-760	24	12	using	use	VERB
ap-760	24	13	the	the	DET
ap-760	24	14	cut	cut	VERB
ap-760	24	15	-	-	PUNCT
ap-760	24	16	and	and	CCONJ
ap-760	24	17	-	-	PUNCT
ap-760	24	18	project	project	NOUN
ap-760	24	19	scheme	scheme	NOUN
ap-760	24	20	.	.	PUNCT
ap-760	25	1	the	the	DET
ap-760	25	2	next	next	ADJ
ap-760	25	3	section	section	NOUN
ap-760	25	4	is	be	AUX
ap-760	25	5	devoted	devote	VERB
ap-760	25	6	to	to	ADP
ap-760	25	7	the	the	DET
ap-760	25	8	important	important	ADJ
ap-760	25	9	question	question	NOUN
ap-760	25	10	of	of	ADP
ap-760	25	11	the	the	DET
ap-760	25	12	invariance	invariance	NOUN
ap-760	25	13	of	of	ADP
ap-760	25	14	sturmian	sturmian	ADJ
ap-760	25	15	words	word	NOUN
ap-760	25	16	on	on	ADP
ap-760	25	17	a	a	DET
ap-760	25	18	substitution	substitution	NOUN
ap-760	25	19	.	.	PUNCT
ap-760	26	1	in	in	ADP
ap-760	26	2	the	the	DET
ap-760	26	3	last	last	ADJ
ap-760	26	4	section	section	NOUN
ap-760	26	5	we	we	PRON
ap-760	26	6	present	present	VERB
ap-760	26	7	some	some	DET
ap-760	26	8	open	open	ADJ
ap-760	26	9	problems	problem	NOUN
ap-760	26	10	related	relate	VERB
ap-760	26	11	to	to	ADP
ap-760	26	12	generalizations	generalization	NOUN
ap-760	26	13	of	of	ADP
ap-760	26	14	sturmian	sturmian	ADJ
ap-760	26	15	words	word	NOUN
ap-760	26	16	.	.	PUNCT
ap-760	27	1	2	2	NUM
ap-760	27	2	sturmian	sturmian	NOUN
ap-760	27	3	words	word	NOUN
ap-760	27	4	an	an	DET
ap-760	27	5	infinite	infinite	ADJ
ap-760	27	6	one	one	NUM
ap-760	27	7	-	-	PUNCT
ap-760	27	8	sided	sided	ADJ
ap-760	27	9	word	word	NOUN
ap-760	27	10	w	w	PROPN
ap-760	27	11	w	w	PROPN
ap-760	27	12	w	w	PROPN
ap-760	27	13	w	w	PROPN
ap-760	27	14	wn	wn	PROPN
ap-760	27	15	n	n	PROPN
ap-760	27	16	n	n	CCONJ
ap-760	27	17	�	�	PROPN
ap-760	27	18	�	�	PROPN
ap-760	27	19	�	�	PROPN
ap-760	27	20	(	(	PUNCT
ap-760	27	21	)	)	PUNCT
ap-760	27	22	,	,	PUNCT
ap-760	27	23	0	0	NUM
ap-760	27	24	0	0	NUM
ap-760	27	25	1	1	NUM
ap-760	27	26	2	2	NUM
ap-760	27	27	�	�	NOUN
ap-760	27	28	is	be	AUX
ap-760	27	29	a	a	DET
ap-760	27	30	sequence	sequence	NOUN
ap-760	27	31	of	of	ADP
ap-760	27	32	letters	letter	NOUN
ap-760	27	33	from	from	ADP
ap-760	27	34	a	a	DET
ap-760	27	35	finite	finite	NOUN
ap-760	27	36	set	set	VERB
ap-760	27	37	a	a	PRON
ap-760	27	38	which	which	PRON
ap-760	27	39	is	be	AUX
ap-760	27	40	called	call	VERB
ap-760	27	41	an	an	DET
ap-760	27	42	alphabet	alphabet	NOUN
ap-760	27	43	.	.	PUNCT
ap-760	28	1	we	we	PRON
ap-760	28	2	use	use	VERB
ap-760	28	3	the	the	DET
ap-760	28	4	notation	notation	NOUN
ap-760	28	5	n	n	NOUN
ap-760	28	6	for	for	ADP
ap-760	28	7	the	the	DET
ap-760	28	8	set	set	NOUN
ap-760	28	9	of	of	ADP
ap-760	28	10	integers	integer	NOUN
ap-760	28	11	and	and	CCONJ
ap-760	28	12	n	n	CCONJ
ap-760	28	13	n0	n0	PROPN
ap-760	28	14	0	0	PROPN
ap-760	28	15	�	�	PROPN
ap-760	28	16	{	{	PUNCT
ap-760	28	17	}	}	PUNCT
ap-760	28	18	.	.	PUNCT
ap-760	29	1	a	a	DET
ap-760	29	2	finite	finite	ADJ
ap-760	29	3	word	word	NOUN
ap-760	29	4	v	v	ADP
ap-760	29	5	v	v	NOUN
ap-760	29	6	v	v	ADP
ap-760	29	7	vn	vn	PROPN
ap-760	29	8	�	�	PROPN
ap-760	29	9	�	�	PROPN
ap-760	29	10	0	0	NUM
ap-760	29	11	1	1	NUM
ap-760	29	12	1	1	NUM
ap-760	29	13	�	�	NOUN
ap-760	29	14	is	be	AUX
ap-760	29	15	a	a	DET
ap-760	29	16	finite	finite	ADJ
ap-760	29	17	string	string	NOUN
ap-760	29	18	of	of	ADP
ap-760	29	19	letters	letter	NOUN
ap-760	29	20	from	from	ADP
ap-760	29	21	a	a	DET
ap-760	29	22	and	and	CCONJ
ap-760	29	23	v	v	NOUN
ap-760	29	24	n	n	CCONJ
ap-760	29	25	�	�	PROPN
ap-760	29	26	is	be	AUX
ap-760	29	27	the	the	DET
ap-760	29	28	length	length	NOUN
ap-760	29	29	of	of	ADP
ap-760	29	30	v.	v.	ADP
ap-760	29	31	the	the	DET
ap-760	29	32	set	set	NOUN
ap-760	29	33	of	of	ADP
ap-760	29	34	all	all	DET
ap-760	29	35	finite	finite	ADJ
ap-760	29	36	words	word	NOUN
ap-760	29	37	over	over	ADP
ap-760	29	38	the	the	DET
ap-760	29	39	alphabet	alphabet	NOUN
ap-760	29	40	a	a	PRON
ap-760	29	41	is	be	AUX
ap-760	29	42	denoted	denote	VERB
ap-760	29	43	by	by	ADP
ap-760	29	44	a	a	DET
ap-760	29	45	*	*	PROPN
ap-760	29	46	.	.	PUNCT
ap-760	30	1	a	a	DET
ap-760	30	2	finite	finite	ADJ
ap-760	30	3	word	word	NOUN
ap-760	30	4	u	u	NOUN
ap-760	30	5	a	a	PRON
ap-760	30	6	*	*	PUNCT
ap-760	30	7	is	be	AUX
ap-760	30	8	a	a	DET
ap-760	30	9	factor	factor	NOUN
ap-760	30	10	of	of	ADP
ap-760	30	11	w	w	NOUN
ap-760	30	12	if	if	SCONJ
ap-760	30	13	there	there	PRON
ap-760	30	14	exist	exist	VERB
ap-760	30	15	0	0	NUM
ap-760	30	16	�	�	PROPN
ap-760	30	17	�	�	PROPN
ap-760	30	18	k	k	PROPN
ap-760	30	19	l	l	NOUN
ap-760	30	20	such	such	ADJ
ap-760	30	21	that	that	SCONJ
ap-760	30	22	u	u	PROPN
ap-760	30	23	w	w	PROPN
ap-760	30	24	wk	wk	PROPN
ap-760	30	25	l	l	PROPN
ap-760	30	26	�	�	PROPN
ap-760	30	27	�	�	PROPN
ap-760	30	28	.	.	PUNCT
ap-760	31	1	the	the	DET
ap-760	31	2	empty	empty	ADJ
ap-760	31	3	word	word	NOUN
ap-760	31	4	is	be	AUX
ap-760	31	5	denoted	denote	VERB
ap-760	31	6	by	by	ADP
ap-760	31	7	�	�	PROPN
ap-760	31	8	.	.	PUNCT
ap-760	32	1	the	the	DET
ap-760	32	2	set	set	NOUN
ap-760	32	3	of	of	ADP
ap-760	32	4	factors	factor	NOUN
ap-760	32	5	of	of	ADP
ap-760	32	6	w	w	NOUN
ap-760	32	7	of	of	ADP
ap-760	32	8	length	length	NOUN
ap-760	32	9	n	n	NUM
ap-760	32	10	is	be	AUX
ap-760	32	11	written	write	VERB
ap-760	32	12	ln(w	ln(w	PUNCT
ap-760	32	13	)	)	PUNCT
ap-760	32	14	and	and	CCONJ
ap-760	32	15	the	the	DET
ap-760	32	16	set	set	NOUN
ap-760	32	17	of	of	ADP
ap-760	32	18	all	all	DET
ap-760	32	19	factors	factor	NOUN
ap-760	32	20	of	of	ADP
ap-760	32	21	w	w	NOUN
ap-760	32	22	is	be	AUX
ap-760	32	23	denoted	denote	VERB
ap-760	32	24	by	by	ADP
ap-760	32	25	l(w	l(w	NOUN
ap-760	32	26	)	)	PUNCT
ap-760	32	27	.	.	PUNCT
ap-760	33	1	the	the	DET
ap-760	33	2	set	set	ADJ
ap-760	33	3	l(w	l(w	NOUN
ap-760	33	4	)	)	PUNCT
ap-760	33	5	is	be	AUX
ap-760	33	6	often	often	ADV
ap-760	33	7	called	call	VERB
ap-760	33	8	the	the	DET
ap-760	33	9	language	language	NOUN
ap-760	33	10	.	.	PUNCT
ap-760	34	1	an	an	DET
ap-760	34	2	infinite	infinite	ADJ
ap-760	34	3	word	word	NOUN
ap-760	34	4	w	w	NOUN
ap-760	34	5	is	be	AUX
ap-760	34	6	ultimately	ultimately	ADV
ap-760	34	7	periodic	periodic	ADJ
ap-760	34	8	if	if	SCONJ
ap-760	34	9	there	there	PRON
ap-760	34	10	exist	exist	VERB
ap-760	34	11	a	a	DET
ap-760	34	12	word	word	NOUN
ap-760	34	13	u	u	NOUN
ap-760	34	14	and	and	CCONJ
ap-760	34	15	a	a	DET
ap-760	34	16	word	word	NOUN
ap-760	34	17	v	v	ADP
ap-760	34	18	such	such	ADJ
ap-760	34	19	that	that	SCONJ
ap-760	34	20	w	w	PROPN
ap-760	34	21	uv	uv	PROPN
ap-760	34	22	�	�	PROPN
ap-760	34	23	�	�	PROPN
ap-760	34	24	where	where	SCONJ
ap-760	34	25	v	v	NOUN
ap-760	34	26	�	�	PROPN
ap-760	34	27	is	be	AUX
ap-760	34	28	the	the	DET
ap-760	34	29	infinite	infinite	ADJ
ap-760	34	30	concatenation	concatenation	NOUN
ap-760	34	31	of	of	ADP
ap-760	34	32	the	the	DET
ap-760	34	33	word	word	NOUN
ap-760	34	34	v.	v.	ADP
ap-760	34	35	it	it	PRON
ap-760	34	36	is	be	AUX
ap-760	34	37	periodic	periodic	ADJ
ap-760	34	38	if	if	SCONJ
ap-760	34	39	u	u	NOUN
ap-760	34	40	is	be	AUX
ap-760	34	41	the	the	DET
ap-760	34	42	empty	empty	ADJ
ap-760	34	43	word	word	NOUN
ap-760	34	44	.	.	PUNCT
ap-760	35	1	if	if	SCONJ
ap-760	35	2	the	the	DET
ap-760	35	3	infinite	infinite	ADJ
ap-760	35	4	word	word	NOUN
ap-760	35	5	w	w	NOUN
ap-760	35	6	does	do	AUX
ap-760	35	7	not	not	PART
ap-760	35	8	have	have	VERB
ap-760	35	9	any	any	PRON
ap-760	35	10	of	of	ADP
ap-760	35	11	the	the	DET
ap-760	35	12	previous	previous	ADJ
ap-760	35	13	forms	form	NOUN
ap-760	35	14	we	we	PRON
ap-760	35	15	say	say	VERB
ap-760	35	16	that	that	SCONJ
ap-760	35	17	it	it	PRON
ap-760	35	18	is	be	AUX
ap-760	35	19	aperiodic	aperiodic	ADJ
ap-760	35	20	.	.	PUNCT
ap-760	36	1	we	we	PRON
ap-760	36	2	say	say	VERB
ap-760	36	3	that	that	SCONJ
ap-760	36	4	u	u	PROPN
ap-760	36	5	is	be	AUX
ap-760	36	6	a	a	DET
ap-760	36	7	prefix	prefix	NOUN
ap-760	36	8	(	(	PUNCT
ap-760	36	9	resp	resp	NOUN
ap-760	36	10	.	.	PUNCT
ap-760	37	1	suffix	suffix	NOUN
ap-760	37	2	)	)	PUNCT
ap-760	37	3	of	of	ADP
ap-760	37	4	v	v	NUM
ap-760	37	5	v	v	NOUN
ap-760	37	6	v	v	ADP
ap-760	37	7	vn	vn	PROPN
ap-760	37	8	�	�	PROPN
ap-760	37	9	�	�	PROPN
ap-760	37	10	0	0	NUM
ap-760	37	11	1	1	NUM
ap-760	37	12	1	1	NUM
ap-760	37	13	�	�	PROPN
ap-760	37	14	,	,	PUNCT
ap-760	37	15	v	v	PART
ap-760	37	16	l	l	X
ap-760	37	17	wn	wn	PROPN
ap-760	37	18	�	�	PROPN
ap-760	37	19	(	(	PUNCT
ap-760	37	20	)	)	PUNCT
ap-760	37	21	,	,	PUNCT
ap-760	37	22	if	if	SCONJ
ap-760	37	23	there	there	PRON
ap-760	37	24	exists0	exists0	NOUN
ap-760	37	25	1	1	NUM
ap-760	37	26	�	�	PROPN
ap-760	37	27	�	�	PROPN
ap-760	37	28	�	�	PROPN
ap-760	37	29	l	l	PROPN
ap-760	37	30	n	n	NOUN
ap-760	37	31	such	such	ADJ
ap-760	37	32	that	that	SCONJ
ap-760	37	33	u	u	PROPN
ap-760	37	34	v	v	ADP
ap-760	37	35	vl	vl	PROPN
ap-760	37	36	�	�	PROPN
ap-760	37	37	0	0	NUM
ap-760	37	38	�	�	PROPN
ap-760	37	39	(	(	PUNCT
ap-760	37	40	resp	resp	NOUN
ap-760	37	41	.	.	PUNCT
ap-760	38	1	u	u	PRON
ap-760	38	2	v	v	X
ap-760	38	3	v	v	ADP
ap-760	38	4	vl	vl	PROPN
ap-760	38	5	l	l	PROPN
ap-760	38	6	n	n	CCONJ
ap-760	38	7	�	�	PROPN
ap-760	38	8	�	�	PROPN
ap-760	38	9	�	�	PROPN
ap-760	38	10	1	1	NUM
ap-760	38	11	1	1	NUM
ap-760	38	12	�	�	PROPN
ap-760	38	13	)	)	PUNCT
ap-760	38	14	.	.	PUNCT
ap-760	39	1	the	the	DET
ap-760	39	2	infinite	infinite	ADJ
ap-760	39	3	word	word	NOUN
ap-760	39	4	w	w	NOUN
ap-760	39	5	,	,	PUNCT
ap-760	39	6	l	l	X
ap-760	39	7	�	�	PROPN
ap-760	39	8	0	0	NUM
ap-760	39	9	,	,	PUNCT
ap-760	39	10	is	be	AUX
ap-760	39	11	a	a	DET
ap-760	39	12	suffix	suffix	NOUN
ap-760	39	13	of	of	ADP
ap-760	39	14	w.	w.	PROPN
ap-760	39	15	an	an	DET
ap-760	39	16	infinite	infinite	ADJ
ap-760	39	17	word	word	NOUN
ap-760	39	18	w	w	NOUN
ap-760	39	19	is	be	AUX
ap-760	39	20	uniformly	uniformly	ADV
ap-760	39	21	recurrent	recurrent	ADJ
ap-760	39	22	if	if	SCONJ
ap-760	39	23	for	for	ADP
ap-760	39	24	every	every	DET
ap-760	39	25	integer	integer	NOUN
ap-760	39	26	k	k	PROPN
ap-760	39	27	there	there	PRON
ap-760	39	28	exists	exist	VERB
ap-760	39	29	an	an	DET
ap-760	39	30	integer	integer	NOUN
ap-760	39	31	l	l	NOUN
ap-760	39	32	such	such	ADJ
ap-760	39	33	that	that	SCONJ
ap-760	39	34	each	each	DET
ap-760	39	35	word	word	NOUN
ap-760	39	36	of	of	ADP
ap-760	39	37	l	l	NOUN
ap-760	39	38	wk	wk	X
ap-760	39	39	(	(	PUNCT
ap-760	39	40	)	)	PUNCT
ap-760	39	41	occurs	occur	VERB
ap-760	39	42	in	in	ADP
ap-760	39	43	every	every	DET
ap-760	39	44	word	word	NOUN
ap-760	39	45	of	of	ADP
ap-760	39	46	length	length	NOUN
ap-760	39	47	l.	l.	PROPN
ap-760	39	48	the	the	DET
ap-760	39	49	usual	usual	ADJ
ap-760	39	50	way	way	NOUN
ap-760	39	51	of	of	ADP
ap-760	39	52	defining	define	VERB
ap-760	39	53	sturmian	sturmian	NOUN
ap-760	39	54	words	word	NOUN
ap-760	39	55	is	be	AUX
ap-760	39	56	via	via	ADP
ap-760	39	57	the	the	DET
ap-760	39	58	complexity	complexity	NOUN
ap-760	39	59	function	function	NOUN
ap-760	39	60	.	.	PUNCT
ap-760	40	1	let	let	VERB
ap-760	40	2	w	w	NOUN
ap-760	40	3	be	be	AUX
ap-760	40	4	an	an	DET
ap-760	40	5	infinite	infinite	ADJ
ap-760	40	6	word	word	NOUN
ap-760	40	7	and	and	CCONJ
ap-760	40	8	cw	cw	NOUN
ap-760	40	9	be	be	AUX
ap-760	40	10	a	a	DET
ap-760	40	11	mapping	mapping	NOUN
ap-760	40	12	n	n	CCONJ
ap-760	40	13	n0	n0	X
ap-760	40	14	�	�	PROPN
ap-760	40	15	,	,	PUNCT
ap-760	40	16	such	such	ADJ
ap-760	40	17	thatc	thatc	PROPN
ap-760	40	18	nw	nw	PROPN
ap-760	40	19	(	(	PUNCT
ap-760	40	20	)	)	PUNCT
ap-760	40	21	is	be	AUX
ap-760	40	22	the	the	DET
ap-760	40	23	number	number	NOUN
ap-760	40	24	of	of	ADP
ap-760	40	25	different	different	ADJ
ap-760	40	26	factors	factor	NOUN
ap-760	40	27	of	of	ADP
ap-760	40	28	length	length	NOUN
ap-760	40	29	n	n	PROPN
ap-760	40	30	of	of	ADP
ap-760	40	31	w	w	NOUN
ap-760	40	32	;	;	PUNCT
ap-760	40	33	i.e.	i.e.	X
ap-760	40	34	c	c	NOUN
ap-760	40	35	n	n	PRON
ap-760	40	36	l	l	NOUN
ap-760	40	37	ww	ww	PROPN
ap-760	40	38	n	n	CCONJ
ap-760	40	39	(	(	PUNCT
ap-760	40	40	)	)	PUNCT
ap-760	40	41	#	#	NOUN
ap-760	40	42	(	(	PUNCT
ap-760	40	43	)	)	PUNCT
ap-760	40	44	�	�	PROPN
ap-760	40	45	.	.	PUNCT
ap-760	41	1	cw	cw	PROPN
ap-760	41	2	is	be	AUX
ap-760	41	3	called	call	VERB
ap-760	41	4	the	the	DET
ap-760	41	5	complexity	complexity	NOUN
ap-760	41	6	and	and	CCONJ
ap-760	41	7	we	we	PRON
ap-760	41	8	say	say	VERB
ap-760	41	9	that	that	SCONJ
ap-760	41	10	the	the	DET
ap-760	41	11	word	word	NOUN
ap-760	41	12	w	w	NOUN
ap-760	41	13	is	be	AUX
ap-760	41	14	sturmian	sturmian	NOUN
ap-760	41	15	if	if	SCONJ
ap-760	41	16	c	c	PROPN
ap-760	41	17	n	n	X
ap-760	41	18	nw	nw	X
ap-760	41	19	(	(	PUNCT
ap-760	41	20	)	)	PUNCT
ap-760	41	21	�	�	PROPN
ap-760	41	22	�	�	PROPN
ap-760	41	23	1for	1for	PROPN
ap-760	41	24	all	all	DET
ap-760	41	25	n.	n.	NOUN
ap-760	41	26	since	since	SCONJ
ap-760	41	27	cw	cw	NOUN
ap-760	41	28	(	(	PUNCT
ap-760	41	29	)	)	PUNCT
ap-760	41	30	1	1	NUM
ap-760	41	31	2	2	NUM
ap-760	41	32	�	�	PROPN
ap-760	41	33	,	,	PUNCT
ap-760	41	34	sturmian	sturmian	NOUN
ap-760	41	35	words	word	NOUN
ap-760	41	36	are	be	AUX
ap-760	41	37	defined	define	VERB
ap-760	41	38	over	over	ADP
ap-760	41	39	a	a	DET
ap-760	41	40	binary	binary	ADJ
ap-760	41	41	alphabet	alphabet	NOUN
ap-760	41	42	,	,	PUNCT
ap-760	41	43	say	say	VERB
ap-760	41	44	a	a	DET
ap-760	41	45	�	�	PROPN
ap-760	41	46	{	{	PUNCT
ap-760	41	47	,	,	PUNCT
ap-760	41	48	}	}	PUNCT
ap-760	41	49	0	0	NUM
ap-760	41	50	1	1	NUM
ap-760	41	51	.	.	PUNCT
ap-760	42	1	clearly	clearly	ADV
ap-760	42	2	cw	cw	VERB
ap-760	42	3	(	(	PUNCT
ap-760	42	4	)	)	PUNCT
ap-760	42	5	0	0	NUM
ap-760	42	6	1	1	NUM
ap-760	42	7	�	�	PROPN
ap-760	42	8	for	for	ADP
ap-760	42	9	any	any	DET
ap-760	42	10	w.	w.	NOUN
ap-760	42	11	there	there	PRON
ap-760	42	12	have	have	AUX
ap-760	42	13	been	be	AUX
ap-760	42	14	some	some	DET
ap-760	42	15	attempts	attempt	NOUN
ap-760	42	16	to	to	PART
ap-760	42	17	extend	extend	VERB
ap-760	42	18	sturmian	sturmian	ADJ
ap-760	42	19	words	word	NOUN
ap-760	42	20	to	to	ADP
ap-760	42	21	words	word	NOUN
ap-760	42	22	over	over	ADP
ap-760	42	23	alphabets	alphabet	NOUN
ap-760	42	24	with	with	ADP
ap-760	42	25	more	more	ADJ
ap-760	42	26	than	than	ADP
ap-760	42	27	two	two	NUM
ap-760	42	28	letters	letter	NOUN
ap-760	42	29	,	,	PUNCT
ap-760	42	30	for	for	ADP
ap-760	42	31	instance	instance	NOUN
ap-760	43	1	[	[	X
ap-760	43	2	8	8	NUM
ap-760	43	3	]	]	PUNCT
ap-760	43	4	or	or	CCONJ
ap-760	43	5	[	[	X
ap-760	43	6	9	9	NUM
ap-760	43	7	]	]	PUNCT
ap-760	43	8	,	,	PUNCT
ap-760	43	9	but	but	CCONJ
ap-760	43	10	none	none	NOUN
ap-760	43	11	of	of	ADP
ap-760	43	12	these	these	DET
ap-760	43	13	constructions	construction	NOUN
ap-760	43	14	show	show	VERB
ap-760	43	15	such	such	ADJ
ap-760	43	16	nice	nice	ADJ
ap-760	43	17	properties	property	NOUN
ap-760	43	18	as	as	ADP
ap-760	43	19	sturmian	sturmian	NOUN
ap-760	43	20	words	word	NOUN
ap-760	43	21	.	.	PUNCT
ap-760	44	1	however	however	ADV
ap-760	44	2	,	,	PUNCT
ap-760	44	3	the	the	DET
ap-760	44	4	approach	approach	NOUN
ap-760	44	5	of	of	ADP
ap-760	44	6	arnoux	arnoux	NOUN
ap-760	44	7	and	and	CCONJ
ap-760	44	8	rauzy	rauzy	NOUN
ap-760	44	9	presented	present	VERB
ap-760	44	10	in	in	ADP
ap-760	44	11	[	[	X
ap-760	44	12	8	8	NUM
ap-760	44	13	]	]	PUNCT
ap-760	44	14	resulted	result	VERB
ap-760	44	15	in	in	ADP
ap-760	44	16	another	another	DET
ap-760	44	17	interesting	interesting	ADJ
ap-760	44	18	family	family	NOUN
ap-760	44	19	of	of	ADP
ap-760	44	20	words	word	NOUN
ap-760	44	21	called	call	VERB
ap-760	44	22	arnoux	arnoux	NOUN
ap-760	44	23	-	-	PUNCT
ap-760	44	24	rauzy	rauzy	NOUN
ap-760	44	25	sequences	sequence	NOUN
ap-760	44	26	.	.	PUNCT
ap-760	45	1	another	another	DET
ap-760	45	2	combinatorial	combinatorial	ADJ
ap-760	45	3	definition	definition	NOUN
ap-760	45	4	of	of	ADP
ap-760	45	5	sturmian	sturmian	ADJ
ap-760	45	6	words	word	NOUN
ap-760	45	7	is	be	AUX
ap-760	45	8	based	base	VERB
ap-760	45	9	on	on	ADP
ap-760	45	10	the	the	DET
ap-760	45	11	distribution	distribution	NOUN
ap-760	45	12	of	of	ADP
ap-760	45	13	letters	letter	NOUN
ap-760	45	14	in	in	ADP
ap-760	45	15	the	the	DET
ap-760	45	16	word	word	NOUN
ap-760	45	17	.	.	PUNCT
ap-760	46	1	let	let	VERB
ap-760	46	2	w	w	NOUN
ap-760	46	3	be	be	AUX
ap-760	46	4	an	an	DET
ap-760	46	5	infinite	infinite	ADJ
ap-760	46	6	word	word	NOUN
ap-760	46	7	,	,	PUNCT
ap-760	46	8	u	u	NOUN
ap-760	46	9	v	v	ADP
ap-760	46	10	l	l	NOUN
ap-760	46	11	w	w	PROPN
ap-760	46	12	,	,	PUNCT
ap-760	46	13	(	(	PUNCT
ap-760	46	14	)	)	PUNCT
ap-760	46	15	�	�	PROPN
ap-760	46	16	be	be	AUX
ap-760	46	17	two	two	NUM
ap-760	46	18	factors	factor	NOUN
ap-760	46	19	of	of	ADP
ap-760	46	20	the	the	DET
ap-760	46	21	same	same	ADJ
ap-760	46	22	length	length	NOUN
ap-760	46	23	u	u	PROPN
ap-760	46	24	v	v	NOUN
ap-760	46	25	�	�	PROPN
ap-760	46	26	and	and	CCONJ
ap-760	46	27	function	function	PROPN
ap-760	46	28	�	�	PROPN
ap-760	46	29	be	be	AUX
ap-760	46	30	defined	define	VERB
ap-760	46	31	�	�	PROPN
ap-760	46	32	(	(	PUNCT
ap-760	46	33	,	,	PUNCT
ap-760	46	34	)	)	PUNCT
ap-760	46	35	u	u	NOUN
ap-760	46	36	v	v	ADP
ap-760	46	37	u	u	PROPN
ap-760	46	38	v	v	PRON
ap-760	46	39	�	�	PROPN
ap-760	46	40	�	�	PROPN
ap-760	46	41	0	0	NUM
ap-760	46	42	0	0	NUM
ap-760	46	43	,	,	PUNCT
ap-760	46	44	©	©	PROPN
ap-760	46	45	czech	czech	PROPN
ap-760	46	46	technical	technical	PROPN
ap-760	46	47	university	university	PROPN
ap-760	46	48	publishing	publishing	NOUN
ap-760	46	49	house	house	NOUN
ap-760	46	50	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-760	46	51	19	19	NUM
ap-760	46	52	czech	czech	PROPN
ap-760	46	53	technical	technical	PROPN
ap-760	46	54	university	university	PROPN
ap-760	46	55	in	in	ADP
ap-760	46	56	prague	prague	PROPN
ap-760	46	57	acta	acta	PROPN
ap-760	46	58	polytechnica	polytechnica	PROPN
ap-760	46	59	vol	vol	NOUN
ap-760	46	60	.	.	PROPN
ap-760	47	1	45	45	NUM
ap-760	47	2	no	no	NOUN
ap-760	47	3	.	.	PUNCT
ap-760	48	1	5/2005	5/2005	NUM
ap-760	48	2	various	various	ADJ
ap-760	48	3	properties	property	NOUN
ap-760	48	4	of	of	ADP
ap-760	48	5	sturmian	sturmian	ADJ
ap-760	48	6	words	word	NOUN
ap-760	48	7	p.	p.	PROPN
ap-760	48	8	baláži	baláži	VERB
ap-760	48	9	this	this	DET
ap-760	48	10	overview	overview	NOUN
ap-760	48	11	paper	paper	NOUN
ap-760	48	12	is	be	AUX
ap-760	48	13	devoted	devote	VERB
ap-760	48	14	to	to	ADP
ap-760	48	15	sturmian	sturmian	NOUN
ap-760	48	16	words	word	NOUN
ap-760	48	17	.	.	PUNCT
ap-760	49	1	the	the	DET
ap-760	49	2	first	first	ADJ
ap-760	49	3	part	part	NOUN
ap-760	49	4	summarizes	summarize	VERB
ap-760	49	5	different	different	ADJ
ap-760	49	6	characterizations	characterization	NOUN
ap-760	49	7	of	of	ADP
ap-760	49	8	sturmian	sturmian	ADJ
ap-760	49	9	words	word	NOUN
ap-760	49	10	.	.	PUNCT
ap-760	50	1	besides	besides	SCONJ
ap-760	50	2	the	the	DET
ap-760	50	3	well	well	ADV
ap-760	50	4	known	know	VERB
ap-760	50	5	theorem	theorem	NOUN
ap-760	50	6	of	of	ADP
ap-760	50	7	hedlund	hedlund	PROPN
ap-760	50	8	and	and	CCONJ
ap-760	50	9	morse	morse	NOUN
ap-760	50	10	it	it	PRON
ap-760	50	11	also	also	ADV
ap-760	50	12	includes	include	VERB
ap-760	50	13	recent	recent	ADJ
ap-760	50	14	results	result	NOUN
ap-760	50	15	on	on	ADP
ap-760	50	16	the	the	DET
ap-760	50	17	characterization	characterization	NOUN
ap-760	50	18	of	of	ADP
ap-760	50	19	sturmian	sturmian	ADJ
ap-760	50	20	words	word	NOUN
ap-760	50	21	using	use	VERB
ap-760	50	22	return	return	NOUN
ap-760	50	23	words	word	NOUN
ap-760	50	24	or	or	CCONJ
ap-760	50	25	palindromes	palindrome	NOUN
ap-760	50	26	.	.	PUNCT
ap-760	51	1	the	the	DET
ap-760	51	2	second	second	ADJ
ap-760	51	3	part	part	NOUN
ap-760	51	4	deals	deal	VERB
ap-760	51	5	with	with	ADP
ap-760	51	6	substitution	substitution	NOUN
ap-760	51	7	invariant	invariant	ADJ
ap-760	51	8	sturmian	sturmian	NOUN
ap-760	51	9	words	word	NOUN
ap-760	51	10	,	,	PUNCT
ap-760	51	11	where	where	SCONJ
ap-760	51	12	we	we	PRON
ap-760	51	13	present	present	VERB
ap-760	51	14	our	our	PRON
ap-760	51	15	recent	recent	ADJ
ap-760	51	16	results	result	NOUN
ap-760	51	17	.	.	PUNCT
ap-760	52	1	we	we	PRON
ap-760	52	2	generalize	generalize	VERB
ap-760	52	3	one	one	NUM
ap-760	52	4	-	-	PUNCT
ap-760	52	5	sided	sided	ADJ
ap-760	52	6	sturmian	sturmian	NOUN
ap-760	52	7	words	word	NOUN
ap-760	52	8	using	use	VERB
ap-760	52	9	the	the	DET
ap-760	52	10	cut	cut	VERB
ap-760	52	11	-	-	PUNCT
ap-760	52	12	and	and	CCONJ
ap-760	52	13	-	-	PUNCT
ap-760	52	14	project	project	NOUN
ap-760	52	15	scheme	scheme	NOUN
ap-760	52	16	and	and	CCONJ
ap-760	52	17	give	give	VERB
ap-760	52	18	a	a	DET
ap-760	52	19	full	full	ADJ
ap-760	52	20	characterization	characterization	NOUN
ap-760	52	21	of	of	ADP
ap-760	52	22	substitution	substitution	NOUN
ap-760	52	23	invariant	invariant	ADJ
ap-760	52	24	sturmian	sturmian	NOUN
ap-760	52	25	words	word	NOUN
ap-760	52	26	.	.	PUNCT
ap-760	53	1	keywords	keyword	NOUN
ap-760	53	2	:	:	PUNCT
ap-760	53	3	sturmian	sturmian	NOUN
ap-760	53	4	words	word	NOUN
ap-760	53	5	,	,	PUNCT
ap-760	53	6	mechanical	mechanical	ADJ
ap-760	53	7	words	word	NOUN
ap-760	53	8	,	,	PUNCT
ap-760	53	9	2	2	NUM
ap-760	53	10	-	-	PUNCT
ap-760	53	11	interval	interval	NOUN
ap-760	53	12	exchange	exchange	NOUN
ap-760	53	13	map	map	NOUN
ap-760	53	14	,	,	PUNCT
ap-760	53	15	palindromes	palindrome	NOUN
ap-760	53	16	,	,	PUNCT
ap-760	53	17	return	return	VERB
ap-760	53	18	words	word	NOUN
ap-760	53	19	,	,	PUNCT
ap-760	53	20	substitutions	substitution	NOUN
ap-760	53	21	.	.	PUNCT
ap-760	54	1	where	where	SCONJ
ap-760	54	2	u	u	NOUN
ap-760	54	3	0	0	PROPN
ap-760	54	4	denotes	denote	VERB
ap-760	54	5	the	the	DET
ap-760	54	6	number	number	NOUN
ap-760	54	7	of	of	ADP
ap-760	54	8	occurrences	occurrence	NOUN
ap-760	54	9	of	of	ADP
ap-760	54	10	0	0	NUM
ap-760	54	11	in	in	ADP
ap-760	54	12	u.	u.	NOUN
ap-760	54	13	we	we	PRON
ap-760	54	14	say	say	VERB
ap-760	54	15	that	that	SCONJ
ap-760	54	16	w	w	NOUN
ap-760	54	17	is	be	AUX
ap-760	54	18	balanced	balance	VERB
ap-760	54	19	if	if	SCONJ
ap-760	54	20	and	and	CCONJ
ap-760	54	21	only	only	ADV
ap-760	54	22	if	if	SCONJ
ap-760	54	23	�	�	PROPN
ap-760	54	24	(	(	PUNCT
ap-760	54	25	,	,	PUNCT
ap-760	54	26	)	)	PUNCT
ap-760	54	27	u	u	PROPN
ap-760	54	28	v	v	ADP
ap-760	54	29	�	�	PROPN
ap-760	54	30	1	1	NUM
ap-760	54	31	for	for	ADP
ap-760	54	32	all	all	DET
ap-760	54	33	u	u	NOUN
ap-760	54	34	v	v	ADP
ap-760	54	35	l	l	NOUN
ap-760	54	36	w	w	PROPN
ap-760	54	37	,	,	PUNCT
ap-760	54	38	(	(	PUNCT
ap-760	54	39	)	)	PUNCT
ap-760	54	40	�	�	PROPN
ap-760	54	41	with	with	ADP
ap-760	54	42	u	u	PROPN
ap-760	54	43	v	v	PROPN
ap-760	54	44	�	�	PROPN
ap-760	54	45	.	.	PUNCT
ap-760	55	1	note	note	VERB
ap-760	55	2	that	that	SCONJ
ap-760	55	3	the	the	DET
ap-760	55	4	structure	structure	NOUN
ap-760	55	5	of	of	ADP
ap-760	55	6	a	a	DET
ap-760	55	7	balanced	balanced	ADJ
ap-760	55	8	word	word	NOUN
ap-760	55	9	over	over	ADP
ap-760	55	10	the	the	DET
ap-760	55	11	alphabet	alphabet	NOUN
ap-760	55	12	a	a	DET
ap-760	55	13	�	�	PROPN
ap-760	55	14	{	{	PUNCT
ap-760	55	15	,	,	PUNCT
ap-760	55	16	}	}	PUNCT
ap-760	55	17	0	0	NUM
ap-760	55	18	1	1	NUM
ap-760	55	19	is	be	AUX
ap-760	55	20	formed	form	VERB
ap-760	55	21	,	,	PUNCT
ap-760	55	22	either	either	CCONJ
ap-760	55	23	by	by	ADP
ap-760	55	24	a	a	DET
ap-760	55	25	block	block	NOUN
ap-760	55	26	of	of	ADP
ap-760	55	27	0	0	NUM
ap-760	55	28	’s	’s	NOUN
ap-760	55	29	between	between	ADP
ap-760	55	30	two	two	NUM
ap-760	55	31	consecutive	consecutive	ADJ
ap-760	55	32	1	1	NUM
ap-760	55	33	’s	’s	NOUN
ap-760	55	34	,	,	PUNCT
ap-760	55	35	or	or	CCONJ
ap-760	55	36	by	by	ADP
ap-760	55	37	a	a	DET
ap-760	55	38	block	block	NOUN
ap-760	55	39	of	of	ADP
ap-760	55	40	1	1	NUM
ap-760	55	41	’s	’s	NOUN
ap-760	55	42	between	between	ADP
ap-760	55	43	two	two	NUM
ap-760	55	44	consecutive	consecutive	ADJ
ap-760	55	45	0	0	NUM
ap-760	55	46	’s	’s	NOUN
ap-760	55	47	.	.	PUNCT
ap-760	56	1	it	it	PRON
ap-760	56	2	is	be	AUX
ap-760	56	3	easy	easy	ADJ
ap-760	56	4	to	to	PART
ap-760	56	5	see	see	VERB
ap-760	56	6	that	that	SCONJ
ap-760	56	7	the	the	DET
ap-760	56	8	length	length	NOUN
ap-760	56	9	of	of	ADP
ap-760	56	10	the	the	DET
ap-760	56	11	blocks	block	NOUN
ap-760	56	12	of	of	ADP
ap-760	56	13	0	0	NUM
ap-760	56	14	’s	’s	NOUN
ap-760	56	15	between	between	ADP
ap-760	56	16	two	two	NUM
ap-760	56	17	consecutive	consecutive	ADJ
ap-760	56	18	1	1	NUM
ap-760	56	19	’s	’s	PART
ap-760	56	20	(	(	PUNCT
ap-760	56	21	resp	resp	NOUN
ap-760	56	22	.	.	PUNCT
ap-760	57	1	blocks	block	NOUN
ap-760	57	2	of	of	ADP
ap-760	57	3	1	1	NUM
ap-760	57	4	’s	’s	NOUN
ap-760	57	5	between	between	ADP
ap-760	57	6	two	two	NUM
ap-760	57	7	consecutive	consecutive	ADJ
ap-760	57	8	0	0	NUM
ap-760	57	9	’s	’s	PART
ap-760	57	10	)	)	PUNCT
ap-760	57	11	differs	differ	VERB
ap-760	57	12	at	at	ADP
ap-760	57	13	most	most	ADJ
ap-760	57	14	by	by	ADP
ap-760	57	15	1	1	NUM
ap-760	57	16	in	in	ADP
ap-760	57	17	a	a	DET
ap-760	57	18	balanced	balanced	ADJ
ap-760	57	19	word	word	NOUN
ap-760	57	20	.	.	PUNCT
ap-760	58	1	as	as	SCONJ
ap-760	58	2	we	we	PRON
ap-760	58	3	will	will	AUX
ap-760	58	4	see	see	VERB
ap-760	58	5	balanced	balanced	ADJ
ap-760	58	6	words	word	NOUN
ap-760	58	7	are	be	AUX
ap-760	58	8	equivalent	equivalent	ADJ
ap-760	58	9	to	to	ADP
ap-760	58	10	sturmian	sturmian	NOUN
ap-760	58	11	words	word	NOUN
ap-760	58	12	.	.	PUNCT
ap-760	59	1	in	in	ADP
ap-760	59	2	the	the	DET
ap-760	59	3	literature	literature	NOUN
ap-760	59	4	one	one	PRON
ap-760	59	5	can	can	AUX
ap-760	59	6	find	find	VERB
ap-760	59	7	several	several	ADJ
ap-760	59	8	constructions	construction	NOUN
ap-760	59	9	of	of	ADP
ap-760	59	10	binary	binary	ADJ
ap-760	59	11	words	word	NOUN
ap-760	59	12	.	.	PUNCT
ap-760	60	1	we	we	PRON
ap-760	60	2	start	start	VERB
ap-760	60	3	with	with	ADP
ap-760	60	4	the	the	DET
ap-760	60	5	construction	construction	NOUN
ap-760	60	6	presented	present	VERB
ap-760	60	7	by	by	ADP
ap-760	60	8	hedlund	hedlund	PROPN
ap-760	60	9	and	and	CCONJ
ap-760	60	10	morse	morse	VERB
ap-760	60	11	in	in	ADP
ap-760	60	12	[	[	X
ap-760	60	13	4	4	NUM
ap-760	60	14	]	]	PUNCT
ap-760	60	15	.	.	PUNCT
ap-760	61	1	let	let	VERB
ap-760	61	2	�	�	PROPN
ap-760	61	3	,	,	PUNCT
ap-760	61	4	�	�	PROPN
ap-760	61	5	be	be	AUX
ap-760	61	6	real	real	ADJ
ap-760	61	7	numbers	number	NOUN
ap-760	61	8	,	,	PUNCT
ap-760	61	9	where	where	SCONJ
ap-760	61	10	�	�	PROPN
ap-760	61	11	�	�	PROPN
ap-760	61	12	(	(	PUNCT
ap-760	61	13	,	,	PUNCT
ap-760	61	14	)	)	PUNCT
ap-760	61	15	0	0	NUM
ap-760	61	16	1	1	NUM
ap-760	61	17	and	and	CCONJ
ap-760	61	18	�	�	PROPN
ap-760	61	19	�	�	PROPN
ap-760	61	20	[	[	PUNCT
ap-760	61	21	,	,	PUNCT
ap-760	61	22	)	)	PUNCT
ap-760	61	23	0	0	NUM
ap-760	62	1	1	1	NUM
ap-760	62	2	.	.	PUNCT
ap-760	63	1	then	then	ADV
ap-760	63	2	s	s	VERB
ap-760	63	3	s	s	NOUN
ap-760	63	4	n	n	CCONJ
ap-760	63	5	�	�	PROPN
ap-760	63	6	�	�	PROPN
ap-760	63	7	�	�	PROPN
ap-760	63	8	�	�	PROPN
ap-760	63	9	,	,	PUNCT
ap-760	63	10	,	,	PUNCT
ap-760	63	11	(	(	PUNCT
ap-760	63	12	)	)	PUNCT
ap-760	63	13	�	�	PROPN
ap-760	63	14	,	,	PUNCT
ap-760	63	15	s	s	PROPN
ap-760	63	16	s	s	NOUN
ap-760	63	17	n	n	CCONJ
ap-760	63	18	�	�	PROPN
ap-760	63	19	�	�	PROPN
ap-760	63	20	�	�	PROPN
ap-760	63	21	�	�	PROPN
ap-760	63	22	,	,	PUNCT
ap-760	63	23	,	,	PUNCT
ap-760	63	24	(	(	PUNCT
ap-760	63	25	)	)	PUNCT
ap-760	63	26	�	�	PROPN
ap-760	63	27	are	be	AUX
ap-760	63	28	sequences	sequence	NOUN
ap-760	63	29	defined	define	VERB
ap-760	63	30	by	by	ADP
ap-760	63	31	,	,	PUNCT
ap-760	63	32	�	�	PROPN
ap-760	63	33	�	�	PROPN
ap-760	63	34	s	s	PART
ap-760	63	35	n	n	CCONJ
ap-760	63	36	n	n	CCONJ
ap-760	63	37	n	n	CCONJ
ap-760	63	38	�	�	PROPN
ap-760	63	39	�	�	PROPN
ap-760	63	40	�	�	PROPN
ap-760	63	41	�	�	PROPN
ap-760	63	42	�	�	PROPN
ap-760	63	43	�	�	PROPN
ap-760	63	44	,	,	PUNCT
ap-760	63	45	(	(	PUNCT
ap-760	63	46	):	):	PUNCT
ap-760	63	47	(	(	PUNCT
ap-760	63	48	)	)	PUNCT
ap-760	63	49	�	�	PROPN
ap-760	63	50	�	�	PROPN
ap-760	63	51	�	�	PROPN
ap-760	63	52	�	�	PROPN
ap-760	63	53	�	�	PROPN
ap-760	63	54	1	1	NUM
ap-760	63	55	,	,	PUNCT
ap-760	63	56	for	for	ADP
ap-760	63	57	n	n	PRON
ap-760	63	58	�	�	PROPN
ap-760	63	59	0	0	NUM
ap-760	63	60	,	,	PUNCT
ap-760	63	61	�	�	PROPN
ap-760	63	62	�	�	PROPN
ap-760	63	63	�	�	PROPN
ap-760	63	64	�	�	PROPN
ap-760	63	65	s	s	PART
ap-760	63	66	n	n	CCONJ
ap-760	63	67	n	n	CCONJ
ap-760	63	68	n	n	CCONJ
ap-760	63	69	�	�	PROPN
ap-760	63	70	�	�	PROPN
ap-760	63	71	�	�	PROPN
ap-760	63	72	�	�	PROPN
ap-760	63	73	�	�	PROPN
ap-760	63	74	�	�	PROPN
ap-760	63	75	,	,	PUNCT
ap-760	63	76	(	(	PUNCT
ap-760	63	77	):	):	PUNCT
ap-760	63	78	(	(	PUNCT
ap-760	63	79	)	)	PUNCT
ap-760	63	80	�	�	PROPN
ap-760	63	81	�	�	PROPN
ap-760	63	82	�	�	PROPN
ap-760	63	83	�	�	PROPN
ap-760	63	84	�	�	PROPN
ap-760	63	85	1	1	NUM
ap-760	63	86	,	,	PUNCT
ap-760	63	87	for	for	ADP
ap-760	63	88	n	n	PRON
ap-760	63	89	�	�	PROPN
ap-760	63	90	0	0	NUM
ap-760	63	91	.	.	PUNCT
ap-760	64	1	these	these	DET
ap-760	64	2	words	word	NOUN
ap-760	64	3	are	be	AUX
ap-760	64	4	usually	usually	ADV
ap-760	64	5	referred	refer	VERB
ap-760	64	6	to	to	ADP
ap-760	64	7	as	as	SCONJ
ap-760	64	8	mechanical	mechanical	ADJ
ap-760	64	9	words	word	NOUN
ap-760	64	10	and	and	CCONJ
ap-760	64	11	�	�	PROPN
ap-760	64	12	is	be	AUX
ap-760	64	13	called	call	VERB
ap-760	64	14	the	the	DET
ap-760	64	15	slope	slope	NOUN
ap-760	64	16	and	and	CCONJ
ap-760	64	17	�	�	PROPN
ap-760	64	18	the	the	DET
ap-760	64	19	intercept	intercept	NOUN
ap-760	64	20	.	.	PUNCT
ap-760	65	1	mechanical	mechanical	ADJ
ap-760	65	2	words	word	NOUN
ap-760	65	3	of	of	ADP
ap-760	65	4	s	s	PROPN
ap-760	65	5	�	�	PROPN
ap-760	65	6	�	�	PROPN
ap-760	65	7	,	,	PUNCT
ap-760	65	8	resp	resp	NOUN
ap-760	65	9	.	.	PUNCT
ap-760	66	1	s	s	PROPN
ap-760	66	2	�	�	PROPN
ap-760	66	3	�	�	PROPN
ap-760	66	4	,	,	PUNCT
ap-760	66	5	have	have	VERB
ap-760	66	6	a	a	DET
ap-760	66	7	nice	nice	ADJ
ap-760	66	8	geometrical	geometrical	ADJ
ap-760	66	9	interpretation	interpretation	NOUN
ap-760	66	10	.	.	PUNCT
ap-760	67	1	consider	consider	VERB
ap-760	67	2	the	the	DET
ap-760	67	3	integer	integer	PROPN
ap-760	67	4	lattice	lattice	PROPN
ap-760	67	5	z2	z2	PROPN
ap-760	67	6	,	,	PUNCT
ap-760	67	7	the	the	DET
ap-760	67	8	straight	straight	ADJ
ap-760	67	9	line	line	NOUN
ap-760	67	10	y	y	PROPN
ap-760	67	11	x	x	PROPN
ap-760	67	12	�	�	PROPN
ap-760	67	13	�	�	PROPN
ap-760	67	14	�	�	PROPN
ap-760	67	15	�	�	PROPN
ap-760	67	16	,	,	PUNCT
ap-760	67	17	x	x	X
ap-760	67	18	�	�	PROPN
ap-760	67	19	0	0	NUM
ap-760	67	20	,	,	PUNCT
ap-760	67	21	and	and	CCONJ
ap-760	67	22	two	two	NUM
ap-760	67	23	sequences	sequence	NOUN
ap-760	67	24	of	of	ADP
ap-760	67	25	integer	integer	PROPN
ap-760	67	26	points	point	NOUN
ap-760	67	27	�	�	PROPN
ap-760	67	28	�	�	PROPN
ap-760	67	29	�	�	PROPN
ap-760	67	30	x	x	PROPN
ap-760	67	31	n	n	CCONJ
ap-760	67	32	nn	nn	PROPN
ap-760	67	33	�	�	PROPN
ap-760	67	34	�	�	PROPN
ap-760	67	35	,	,	PUNCT
ap-760	67	36	�	�	PROPN
ap-760	67	37	�	�	PROPN
ap-760	67	38	and	and	CCONJ
ap-760	67	39	�	�	PROPN
ap-760	67	40	�	�	PROPN
ap-760	67	41	�	�	PROPN
ap-760	67	42	�	�	PROPN
ap-760	67	43	y	y	PROPN
ap-760	67	44	n	n	PROPN
ap-760	67	45	nn	nn	PROPN
ap-760	67	46	�	�	PROPN
ap-760	67	47	�	�	PROPN
ap-760	67	48	,	,	PUNCT
ap-760	67	49	�	�	PROPN
ap-760	67	50	�	�	PROPN
ap-760	67	51	.	.	PUNCT
ap-760	68	1	the	the	DET
ap-760	68	2	elements	element	NOUN
ap-760	68	3	of	of	ADP
ap-760	68	4	xn	xn	PROPN
ap-760	68	5	cover	cover	NOUN
ap-760	68	6	integer	integer	NOUN
ap-760	68	7	points	point	NOUN
ap-760	68	8	of	of	ADP
ap-760	68	9	the	the	DET
ap-760	68	10	lattice	lattice	NOUN
ap-760	68	11	just	just	ADV
ap-760	68	12	below	below	ADP
ap-760	68	13	the	the	DET
ap-760	68	14	line	line	NOUN
ap-760	68	15	y	y	PROPN
ap-760	68	16	x	x	PROPN
ap-760	68	17	�	�	PROPN
ap-760	68	18	�	�	PROPN
ap-760	68	19	�	�	PROPN
ap-760	68	20	�	�	PROPN
ap-760	68	21	and	and	CCONJ
ap-760	68	22	the	the	DET
ap-760	68	23	elements	element	NOUN
ap-760	68	24	of	of	ADP
ap-760	68	25	yn	yn	PROPN
ap-760	68	26	cover	cover	NOUN
ap-760	68	27	points	point	NOUN
ap-760	68	28	just	just	ADV
ap-760	68	29	above	above	ADP
ap-760	68	30	the	the	DET
ap-760	68	31	line	line	NOUN
ap-760	68	32	.	.	PUNCT
ap-760	69	1	if	if	SCONJ
ap-760	69	2	s	s	NOUN
ap-760	69	3	n	n	CCONJ
ap-760	69	4	�	�	PROPN
ap-760	69	5	�	�	PROPN
ap-760	69	6	,	,	PUNCT
ap-760	69	7	(	(	PUNCT
ap-760	69	8	)	)	PUNCT
ap-760	69	9	�	�	PROPN
ap-760	69	10	0	0	PUNCT
ap-760	70	1	then	then	ADV
ap-760	70	2	the	the	DET
ap-760	70	3	points	point	NOUN
ap-760	70	4	xn	xn	PROPN
ap-760	70	5	and	and	CCONJ
ap-760	70	6	xn	xn	PROPN
ap-760	70	7	�	�	PROPN
ap-760	70	8	1	1	NUM
ap-760	70	9	lie	lie	NOUN
ap-760	70	10	on	on	ADP
ap-760	70	11	the	the	DET
ap-760	70	12	horizontal	horizontal	ADJ
ap-760	70	13	line	line	NOUN
ap-760	70	14	,	,	PUNCT
ap-760	70	15	and	and	CCONJ
ap-760	70	16	if	if	SCONJ
ap-760	70	17	s	s	NOUN
ap-760	70	18	n	n	CCONJ
ap-760	70	19	�	�	PROPN
ap-760	70	20	�	�	PROPN
ap-760	70	21	,	,	PUNCT
ap-760	70	22	(	(	PUNCT
ap-760	70	23	)	)	PUNCT
ap-760	70	24	�	�	PROPN
ap-760	70	25	1	1	NUM
ap-760	70	26	then	then	ADV
ap-760	70	27	they	they	PRON
ap-760	70	28	lie	lie	VERB
ap-760	70	29	on	on	ADP
ap-760	70	30	the	the	DET
ap-760	70	31	diagonal	diagonal	ADJ
ap-760	70	32	line	line	NOUN
ap-760	70	33	.	.	PUNCT
ap-760	71	1	the	the	DET
ap-760	71	2	same	same	ADJ
ap-760	71	3	holds	hold	VERB
ap-760	71	4	for	for	ADP
ap-760	71	5	s	s	PROPN
ap-760	71	6	n	n	CCONJ
ap-760	71	7	�	�	PROPN
ap-760	71	8	�	�	PROPN
ap-760	71	9	,	,	PUNCT
ap-760	71	10	(	(	PUNCT
ap-760	71	11	)	)	PUNCT
ap-760	71	12	and	and	CCONJ
ap-760	71	13	yn	yn	PROPN
ap-760	71	14	.	.	PUNCT
ap-760	72	1	in	in	ADP
ap-760	72	2	fact	fact	NOUN
ap-760	72	3	,	,	PUNCT
ap-760	72	4	the	the	DET
ap-760	72	5	sequences	sequence	NOUN
ap-760	72	6	s	s	PART
ap-760	72	7	�	�	PROPN
ap-760	72	8	�	�	PROPN
ap-760	72	9	,	,	PUNCT
ap-760	72	10	,	,	PUNCT
ap-760	72	11	s	s	PROPN
ap-760	72	12	�	�	PROPN
ap-760	72	13	�	�	PROPN
ap-760	72	14	,	,	PUNCT
ap-760	72	15	are	be	AUX
ap-760	72	16	the	the	DET
ap-760	72	17	coding	coding	NOUN
ap-760	72	18	of	of	ADP
ap-760	72	19	a	a	DET
ap-760	72	20	discretization	discretization	NOUN
ap-760	72	21	of	of	ADP
ap-760	72	22	a	a	DET
ap-760	72	23	straight	straight	ADJ
ap-760	72	24	line	line	NOUN
ap-760	72	25	.	.	PUNCT
ap-760	73	1	note	note	VERB
ap-760	73	2	that	that	SCONJ
ap-760	73	3	if	if	SCONJ
ap-760	73	4	�	�	PROPN
ap-760	73	5	is	be	AUX
ap-760	73	6	irrational	irrational	ADJ
ap-760	73	7	then	then	ADV
ap-760	73	8	s	s	PART
ap-760	73	9	�	�	PROPN
ap-760	73	10	�	�	PROPN
ap-760	73	11	,	,	PUNCT
ap-760	73	12	and	and	CCONJ
ap-760	73	13	s	s	PROPN
ap-760	73	14	�	�	PROPN
ap-760	73	15	�	�	PROPN
ap-760	73	16	,	,	PUNCT
ap-760	73	17	differ	differ	VERB
ap-760	73	18	by	by	ADP
ap-760	73	19	at	at	ADV
ap-760	73	20	most	most	ADJ
ap-760	73	21	for	for	ADP
ap-760	73	22	two	two	NUM
ap-760	73	23	values	value	NOUN
ap-760	73	24	of	of	ADP
ap-760	73	25	n.	n.	NOUN
ap-760	73	26	clearly	clearly	ADV
ap-760	73	27	,	,	PUNCT
ap-760	73	28	this	this	PRON
ap-760	73	29	can	can	AUX
ap-760	73	30	happen	happen	VERB
ap-760	73	31	only	only	ADV
ap-760	73	32	if	if	SCONJ
ap-760	73	33	n	n	CCONJ
ap-760	73	34	�	�	PROPN
ap-760	73	35	�	�	PROPN
ap-760	73	36	�	�	PROPN
ap-760	73	37	is	be	AUX
ap-760	73	38	an	an	DET
ap-760	73	39	integer	integer	NOUN
ap-760	73	40	for	for	ADP
ap-760	73	41	some	some	DET
ap-760	73	42	n.	n.	NOUN
ap-760	73	43	if	if	SCONJ
ap-760	73	44	we	we	PRON
ap-760	73	45	consider	consider	VERB
ap-760	73	46	�	�	PROPN
ap-760	73	47	�	�	PROPN
ap-760	73	48	0	0	NUM
ap-760	73	49	and	and	CCONJ
ap-760	73	50	n	n	PRON
ap-760	73	51	�	�	PROPN
ap-760	73	52	0	0	NUM
ap-760	73	53	,	,	PUNCT
ap-760	73	54	then	then	ADV
ap-760	73	55	s	s	VERB
ap-760	73	56	�	�	PROPN
ap-760	73	57	,	,	PUNCT
ap-760	73	58	(	(	PUNCT
ap-760	73	59	)	)	PUNCT
ap-760	74	1	0	0	NUM
ap-760	74	2	0	0	NUM
ap-760	74	3	0	0	NUM
ap-760	74	4	�	�	PROPN
ap-760	74	5	and	and	CCONJ
ap-760	74	6	s	s	PROPN
ap-760	74	7	�	�	PROPN
ap-760	74	8	,	,	PUNCT
ap-760	74	9	(	(	PUNCT
ap-760	74	10	)	)	PUNCT
ap-760	74	11	0	0	SYM
ap-760	74	12	0	0	NUM
ap-760	74	13	1	1	NUM
ap-760	74	14	�	�	PROPN
ap-760	74	15	and	and	CCONJ
ap-760	74	16	we	we	PRON
ap-760	74	17	obtain	obtain	VERB
ap-760	74	18	the	the	DET
ap-760	74	19	important	important	ADJ
ap-760	74	20	special	special	ADJ
ap-760	74	21	case	case	NOUN
ap-760	74	22	of	of	ADP
ap-760	74	23	mechanical	mechanical	ADJ
ap-760	74	24	words	word	NOUN
ap-760	74	25	s	s	PART
ap-760	74	26	c	c	PROPN
ap-760	74	27	�	�	PROPN
ap-760	74	28	�	�	PROPN
ap-760	74	29	,	,	PUNCT
ap-760	74	30	0	0	NUM
ap-760	74	31	0	0	NUM
ap-760	74	32	�	�	PROPN
ap-760	74	33	,	,	PUNCT
ap-760	74	34	s	s	PART
ap-760	74	35	c	c	PROPN
ap-760	74	36	�	�	PROPN
ap-760	74	37	�	�	PROPN
ap-760	74	38	,	,	PUNCT
ap-760	74	39	0	0	NUM
ap-760	74	40	1	1	NUM
ap-760	74	41	�	�	NOUN
ap-760	74	42	;	;	PUNCT
ap-760	74	43	n	n	X
ap-760	74	44	�	�	PROPN
ap-760	74	45	0	0	NUM
ap-760	74	46	.	.	PUNCT
ap-760	75	1	the	the	DET
ap-760	75	2	infinite	infinite	ADJ
ap-760	75	3	word	word	NOUN
ap-760	75	4	c	c	NOUN
ap-760	75	5	�	�	PROPN
ap-760	75	6	is	be	AUX
ap-760	75	7	called	call	VERB
ap-760	75	8	the	the	DET
ap-760	75	9	characteristic	characteristic	ADJ
ap-760	75	10	sequence	sequence	NOUN
ap-760	75	11	of	of	ADP
ap-760	75	12	�	�	PROPN
ap-760	75	13	.	.	PUNCT
ap-760	76	1	crisp	crisp	ADJ
ap-760	76	2	et	et	PROPN
ap-760	76	3	al	al	PROPN
ap-760	76	4	.	.	PROPN
ap-760	76	5	study	study	PROPN
ap-760	76	6	,	,	PUNCT
ap-760	76	7	in	in	ADP
ap-760	76	8	their	their	PRON
ap-760	76	9	work	work	NOUN
ap-760	77	1	[	[	X
ap-760	77	2	10	10	NUM
ap-760	77	3	]	]	PUNCT
ap-760	77	4	,	,	PUNCT
ap-760	77	5	another	another	DET
ap-760	77	6	way	way	NOUN
ap-760	77	7	of	of	ADP
ap-760	77	8	constructing	construct	VERB
ap-760	77	9	characteristic	characteristic	ADJ
ap-760	77	10	sequences	sequence	NOUN
ap-760	77	11	.	.	PUNCT
ap-760	78	1	consider	consider	VERB
ap-760	78	2	again	again	ADV
ap-760	78	3	the	the	DET
ap-760	78	4	integer	integer	NOUN
ap-760	78	5	lattice	lattice	PROPN
ap-760	78	6	z2	z2	PROPN
ap-760	78	7	and	and	CCONJ
ap-760	78	8	the	the	DET
ap-760	78	9	straight	straight	ADJ
ap-760	78	10	line	line	NOUN
ap-760	78	11	y	y	PROPN
ap-760	78	12	x	x	PROPN
ap-760	78	13	�	�	PROPN
ap-760	78	14	�	�	PROPN
ap-760	78	15	,	,	PUNCT
ap-760	78	16	where	where	SCONJ
ap-760	78	17	�	�	PROPN
ap-760	78	18	is	be	AUX
ap-760	78	19	a	a	DET
ap-760	78	20	positive	positive	ADJ
ap-760	78	21	irrational	irrational	ADJ
ap-760	78	22	and	and	CCONJ
ap-760	78	23	x	x	PART
ap-760	78	24	�	�	PROPN
ap-760	78	25	0	0	NUM
ap-760	78	26	.	.	PUNCT
ap-760	79	1	we	we	PRON
ap-760	79	2	label	label	VERB
ap-760	79	3	the	the	DET
ap-760	79	4	intersections	intersection	NOUN
ap-760	79	5	of	of	ADP
ap-760	79	6	the	the	DET
ap-760	79	7	line	line	NOUN
ap-760	79	8	y	y	PROPN
ap-760	79	9	x	x	PROPN
ap-760	79	10	�	�	PROPN
ap-760	79	11	�	�	PROPN
ap-760	79	12	with	with	ADP
ap-760	79	13	verticals	vertical	NOUN
ap-760	79	14	of	of	ADP
ap-760	79	15	the	the	DET
ap-760	79	16	grid	grid	NOUN
ap-760	79	17	using	use	VERB
ap-760	79	18	0	0	NUM
ap-760	79	19	,	,	PUNCT
ap-760	79	20	and	and	CCONJ
ap-760	79	21	we	we	PRON
ap-760	79	22	label	label	VERB
ap-760	79	23	by	by	ADP
ap-760	79	24	1	1	NUM
ap-760	79	25	the	the	DET
ap-760	79	26	intersections	intersection	NOUN
ap-760	79	27	of	of	ADP
ap-760	79	28	y	y	PROPN
ap-760	79	29	x	x	PROPN
ap-760	79	30	�	�	PROPN
ap-760	79	31	�	�	PROPN
ap-760	79	32	with	with	ADP
ap-760	79	33	horizontals	horizontal	NOUN
ap-760	79	34	.	.	PUNCT
ap-760	80	1	the	the	DET
ap-760	80	2	sequence	sequence	NOUN
ap-760	80	3	of	of	ADP
ap-760	80	4	labels	label	NOUN
ap-760	80	5	forms	form	VERB
ap-760	80	6	the	the	DET
ap-760	80	7	so	so	ADV
ap-760	80	8	called	call	VERB
ap-760	80	9	cutting	cut	VERB
ap-760	80	10	sequence	sequence	NOUN
ap-760	80	11	and	and	CCONJ
ap-760	80	12	is	be	AUX
ap-760	80	13	denoted	denote	VERB
ap-760	80	14	by	by	ADP
ap-760	80	15	s	s	PROPN
ap-760	80	16	�	�	PROPN
ap-760	80	17	.	.	PUNCT
ap-760	81	1	it	it	PRON
ap-760	81	2	can	can	AUX
ap-760	81	3	be	be	AUX
ap-760	81	4	shown	show	VERB
ap-760	81	5	that	that	SCONJ
ap-760	81	6	c	c	PROPN
ap-760	81	7	�	�	PROPN
ap-760	81	8	�	�	PROPN
ap-760	81	9	�	�	PROPN
ap-760	81	10	s	s	PART
ap-760	81	11	if	if	SCONJ
ap-760	81	12	and	and	CCONJ
ap-760	81	13	only	only	ADV
ap-760	81	14	if	if	SCONJ
ap-760	81	15	�	�	PROPN
ap-760	81	16	�	�	PROPN
ap-760	81	17	�	�	PROPN
ap-760	81	18	�	�	PROPN
ap-760	81	19	�	�	PROPN
ap-760	81	20	(	(	PUNCT
ap-760	81	21	)	)	PUNCT
ap-760	81	22	1	1	NUM
ap-760	81	23	(	(	PUNCT
ap-760	81	24	see	see	VERB
ap-760	81	25	e.g.	e.g.	ADV
ap-760	81	26	[	[	X
ap-760	81	27	10	10	NUM
ap-760	81	28	]	]	NUM
ap-760	81	29	)	)	PUNCT
ap-760	81	30	.	.	PUNCT
ap-760	82	1	one	one	PRON
ap-760	82	2	can	can	AUX
ap-760	82	3	often	often	ADV
ap-760	82	4	encounter	encounter	VERB
ap-760	82	5	the	the	DET
ap-760	82	6	term	term	NOUN
ap-760	82	7	r	r	NOUN
ap-760	82	8	-	-	PUNCT
ap-760	82	9	interval	interval	NOUN
ap-760	82	10	exchange	exchange	NOUN
ap-760	82	11	map	map	NOUN
ap-760	82	12	in	in	ADP
ap-760	82	13	connection	connection	NOUN
ap-760	82	14	with	with	ADP
ap-760	82	15	infinite	infinite	ADJ
ap-760	82	16	words	word	NOUN
ap-760	82	17	.	.	PUNCT
ap-760	83	1	properties	property	NOUN
ap-760	83	2	of	of	ADP
ap-760	83	3	words	word	NOUN
ap-760	83	4	generated	generate	VERB
ap-760	83	5	by	by	ADP
ap-760	83	6	the	the	DET
ap-760	83	7	r	r	NOUN
ap-760	83	8	-	-	PUNCT
ap-760	83	9	interval	interval	NOUN
ap-760	83	10	exchange	exchange	NOUN
ap-760	83	11	map	map	NOUN
ap-760	83	12	(	(	PUNCT
ap-760	83	13	called	call	VERB
ap-760	83	14	the	the	DET
ap-760	83	15	coding	coding	NOUN
ap-760	83	16	of	of	ADP
ap-760	83	17	the	the	DET
ap-760	83	18	r	r	NOUN
ap-760	83	19	-	-	PUNCT
ap-760	83	20	interval	interval	NOUN
ap-760	83	21	exchange	exchange	NOUN
ap-760	83	22	map	map	NOUN
ap-760	83	23	)	)	PUNCT
ap-760	83	24	are	be	AUX
ap-760	83	25	studied	study	VERB
ap-760	83	26	from	from	ADP
ap-760	83	27	different	different	ADJ
ap-760	83	28	aspects	aspect	NOUN
ap-760	83	29	in	in	ADP
ap-760	83	30	[	[	X
ap-760	83	31	11	11	NUM
ap-760	83	32	]	]	PUNCT
ap-760	83	33	,	,	PUNCT
ap-760	84	1	[	[	X
ap-760	84	2	12	12	NUM
ap-760	84	3	]	]	PUNCT
ap-760	84	4	or	or	CCONJ
ap-760	84	5	[	[	X
ap-760	84	6	13	13	NUM
ap-760	84	7	]	]	PUNCT
ap-760	84	8	.	.	PUNCT
ap-760	85	1	let	let	VERB
ap-760	85	2	us	we	PRON
ap-760	85	3	closely	closely	ADV
ap-760	85	4	mention	mention	VERB
ap-760	85	5	the	the	DET
ap-760	85	6	2	2	NUM
ap-760	85	7	-	-	PUNCT
ap-760	85	8	interval	interval	NOUN
ap-760	85	9	exchange	exchange	NOUN
ap-760	85	10	map	map	NOUN
ap-760	85	11	and	and	CCONJ
ap-760	85	12	its	its	PRON
ap-760	85	13	reference	reference	NOUN
ap-760	85	14	to	to	ADP
ap-760	85	15	sturmian	sturmian	NOUN
ap-760	85	16	words	word	NOUN
ap-760	85	17	.	.	PUNCT
ap-760	86	1	let	let	VERB
ap-760	86	2	�	�	PROPN
ap-760	86	3	�	�	PROPN
ap-760	86	4	(	(	PUNCT
ap-760	86	5	,	,	PUNCT
ap-760	86	6	)	)	PUNCT
ap-760	86	7	0	0	NUM
ap-760	87	1	1	1	NUM
ap-760	87	2	be	be	AUX
ap-760	87	3	an	an	DET
ap-760	87	4	irrational	irrational	ADJ
ap-760	87	5	number	number	NOUN
ap-760	87	6	and	and	CCONJ
ap-760	87	7	x	x	PART
ap-760	87	8	�	�	PROPN
ap-760	87	9	[	[	PUNCT
ap-760	87	10	,	,	PUNCT
ap-760	87	11	)	)	PUNCT
ap-760	87	12	0	0	NUM
ap-760	88	1	1	1	NUM
ap-760	88	2	.	.	PUNCT
ap-760	89	1	let	let	VERB
ap-760	89	2	i1	i1	PROPN
ap-760	89	3	0	0	NUM
ap-760	89	4	1	1	NUM
ap-760	89	5	�	�	PROPN
ap-760	89	6	�	�	PROPN
ap-760	89	7	[	[	PUNCT
ap-760	89	8	,	,	PUNCT
ap-760	89	9	)	)	PUNCT
ap-760	89	10	�	�	PROPN
ap-760	89	11	,	,	PUNCT
ap-760	89	12	i2	i2	PROPN
ap-760	89	13	1	1	NUM
ap-760	89	14	1	1	NUM
ap-760	89	15	�	�	PROPN
ap-760	89	16	�	�	PROPN
ap-760	89	17	[	[	PUNCT
ap-760	89	18	,	,	PUNCT
ap-760	89	19	)	)	PUNCT
ap-760	89	20	�	�	PROPN
ap-760	89	21	be	be	AUX
ap-760	89	22	the	the	DET
ap-760	89	23	decompositions	decomposition	NOUN
ap-760	89	24	of	of	ADP
ap-760	89	25	the	the	DET
ap-760	89	26	interval	interval	NOUN
ap-760	89	27	[	[	PUNCT
ap-760	89	28	,	,	PUNCT
ap-760	89	29	)	)	PUNCT
ap-760	89	30	0	0	NUM
ap-760	90	1	1	1	NUM
ap-760	90	2	.	.	PUNCT
ap-760	91	1	the	the	DET
ap-760	91	2	map	map	NOUN
ap-760	91	3	t	t	PROPN
ap-760	91	4	�	�	PROPN
ap-760	91	5	,	,	PUNCT
ap-760	91	6	given	give	VERB
ap-760	91	7	by	by	ADP
ap-760	91	8	the	the	DET
ap-760	91	9	rule	rule	NOUN
ap-760	91	10	t	t	NOUN
ap-760	91	11	x	x	PUNCT
ap-760	91	12	x	x	PUNCT
ap-760	91	13	x	x	PUNCT
ap-760	91	14	x	x	SYM
ap-760	91	15	x	x	SYM
ap-760	91	16	�	�	PROPN
ap-760	91	17	�	�	PROPN
ap-760	91	18	�	�	PROPN
ap-760	91	19	�	�	PROPN
ap-760	91	20	�	�	PROPN
ap-760	91	21	�	�	PROPN
ap-760	91	22	�	�	PROPN
ap-760	91	23	(	(	PUNCT
ap-760	91	24	)	)	PUNCT
ap-760	91	25	,	,	PUNCT
ap-760	91	26	[	[	PUNCT
ap-760	91	27	,	,	PUNCT
ap-760	91	28	,	,	PUNCT
ap-760	91	29	,	,	PUNCT
ap-760	91	30	[	[	PUNCT
ap-760	91	31	,	,	PUNCT
ap-760	91	32	,	,	PUNCT
ap-760	91	33	�	�	PROPN
ap-760	91	34	�	�	PROPN
ap-760	91	35	�	�	PROPN
ap-760	91	36	�	�	PROPN
ap-760	91	37	�	�	PROPN
ap-760	91	38	�	�	PROPN
ap-760	91	39	�	�	PROPN
ap-760	91	40	�	�	PROPN
ap-760	91	41	�	�	PROPN
ap-760	91	42	�	�	PROPN
ap-760	91	43	�	�	PROPN
ap-760	91	44	for	for	ADP
ap-760	91	45	for	for	ADP
ap-760	91	46	0	0	NUM
ap-760	91	47	1	1	NUM
ap-760	91	48	1	1	NUM
ap-760	91	49	1	1	NUM
ap-760	91	50	1	1	NUM
ap-760	91	51	is	be	AUX
ap-760	91	52	called	call	VERB
ap-760	91	53	the	the	DET
ap-760	91	54	2	2	NUM
ap-760	91	55	-	-	PUNCT
ap-760	91	56	interval	interval	NOUN
ap-760	91	57	exchange	exchange	NOUN
ap-760	91	58	map	map	NOUN
ap-760	91	59	.	.	PUNCT
ap-760	92	1	it	it	PRON
ap-760	92	2	can	can	AUX
ap-760	92	3	be	be	AUX
ap-760	92	4	written	write	VERB
ap-760	92	5	in	in	ADP
ap-760	92	6	a	a	DET
ap-760	92	7	more	more	ADV
ap-760	92	8	complex	complex	ADJ
ap-760	92	9	way	way	NOUN
ap-760	92	10	�	�	PROPN
ap-760	92	11	t	t	NOUN
ap-760	92	12	x	x	SYM
ap-760	92	13	x	x	SYM
ap-760	92	14	x	x	SYM
ap-760	92	15	x	x	PRON
ap-760	92	16	�	�	PROPN
ap-760	92	17	�	�	PROPN
ap-760	92	18	�	�	PROPN
ap-760	92	19	�	�	PROPN
ap-760	92	20	(	(	PUNCT
ap-760	92	21	)	)	PUNCT
ap-760	92	22	{	{	PUNCT
ap-760	92	23	}	}	PUNCT
ap-760	92	24	�	�	PROPN
ap-760	92	25	�	�	PROPN
ap-760	92	26	�	�	PROPN
ap-760	92	27	�	�	PROPN
ap-760	92	28	�	�	PROPN
ap-760	92	29	�	�	PROPN
ap-760	92	30	,	,	PUNCT
ap-760	92	31	�	�	PROPN
ap-760	92	32	�	�	PROPN
ap-760	92	33	x	x	PROPN
ap-760	92	34	[	[	PUNCT
ap-760	92	35	,	,	PUNCT
ap-760	92	36	)	)	PUNCT
ap-760	92	37	0	0	NUM
ap-760	92	38	1	1	NUM
ap-760	92	39	.	.	PUNCT
ap-760	93	1	for	for	ADP
ap-760	93	2	the	the	DET
ap-760	93	3	n	n	CCONJ
ap-760	93	4	-	-	PUNCT
ap-760	93	5	th	th	VERB
ap-760	93	6	iteration	iteration	NOUN
ap-760	93	7	of	of	ADP
ap-760	93	8	the	the	DET
ap-760	93	9	2	2	NUM
ap-760	93	10	-	-	PUNCT
ap-760	93	11	interval	interval	NOUN
ap-760	93	12	exchange	exchange	NOUN
ap-760	93	13	map	map	NOUN
ap-760	93	14	t	t	PROPN
ap-760	93	15	�	�	PROPN
ap-760	93	16	we	we	PRON
ap-760	93	17	obtain	obtain	VERB
ap-760	93	18	t	t	PROPN
ap-760	93	19	x	x	SYM
ap-760	93	20	t	t	PROPN
ap-760	93	21	x	x	SYM
ap-760	93	22	n	n	PROPN
ap-760	93	23	xn	xn	PROPN
ap-760	93	24	n	n	CCONJ
ap-760	93	25	�	�	PROPN
ap-760	93	26	�	�	PROPN
ap-760	93	27	�	�	PROPN
ap-760	93	28	(	(	PUNCT
ap-760	93	29	)	)	PUNCT
ap-760	93	30	(	(	PUNCT
ap-760	93	31	)	)	PUNCT
ap-760	93	32	(	(	PUNCT
ap-760	93	33	)	)	PUNCT
ap-760	93	34	{	{	PUNCT
ap-760	93	35	}	}	PUNCT
ap-760	93	36	�	�	PROPN
ap-760	93	37	�	�	PROPN
ap-760	93	38	�	�	PROPN
ap-760	93	39	.	.	PUNCT
ap-760	94	1	since	since	SCONJ
ap-760	94	2	�	�	PROPN
ap-760	94	3	is	be	AUX
ap-760	94	4	irrational	irrational	ADJ
ap-760	94	5	,	,	PUNCT
ap-760	94	6	t	t	PROPN
ap-760	94	7	�	�	PROPN
ap-760	94	8	does	do	AUX
ap-760	94	9	not	not	PART
ap-760	94	10	have	have	VERB
ap-760	94	11	any	any	DET
ap-760	94	12	fixed	fix	VERB
ap-760	94	13	point	point	NOUN
ap-760	94	14	.	.	PUNCT
ap-760	95	1	it	it	PRON
ap-760	95	2	is	be	AUX
ap-760	95	3	not	not	PART
ap-760	95	4	difficult	difficult	ADJ
ap-760	95	5	to	to	PART
ap-760	95	6	check	check	VERB
ap-760	95	7	that	that	DET
ap-760	95	8	�	�	PROPN
ap-760	95	9	�	�	PROPN
ap-760	95	10	(	(	PUNCT
ap-760	95	11	)	)	PUNCT
ap-760	95	12	(	(	PUNCT
ap-760	95	13	)	)	PUNCT
ap-760	95	14	[	[	PUNCT
ap-760	95	15	,	,	PUNCT
ap-760	95	16	(	(	PUNCT
ap-760	95	17	)	)	PUNCT
ap-760	95	18	n	n	CCONJ
ap-760	95	19	x	x	SYM
ap-760	95	20	n	n	PROPN
ap-760	95	21	x	x	SYM
ap-760	95	22	t	t	PROPN
ap-760	95	23	xn	xn	PROPN
ap-760	95	24	�	�	PROPN
ap-760	95	25	�	�	PROPN
ap-760	95	26	�	�	PROPN
ap-760	95	27	�	�	PROPN
ap-760	95	28	�	�	PROPN
ap-760	95	29	�	�	PROPN
ap-760	95	30	�	�	PROPN
ap-760	95	31	1	1	NUM
ap-760	95	32	0	0	NUM
ap-760	95	33	1	1	NUM
ap-760	95	34	�	�	PROPN
ap-760	95	35	�	�	PROPN
ap-760	95	36	�	�	PROPN
ap-760	95	37	�	�	PROPN
ap-760	95	38	�	�	PROPN
ap-760	95	39	which	which	PRON
ap-760	95	40	implies	imply	VERB
ap-760	95	41	that	that	PRON
ap-760	95	42	s	s	VERB
ap-760	95	43	n	n	DET
ap-760	95	44	t	t	PROPN
ap-760	95	45	t	t	PROPN
ap-760	95	46	n	n	CCONJ
ap-760	95	47	n	n	CCONJ
ap-760	95	48	�	�	PROPN
ap-760	95	49	�	�	PROPN
ap-760	95	50	�	�	PROPN
ap-760	95	51	�	�	PROPN
ap-760	95	52	�	�	PROPN
ap-760	95	53	�	�	PROPN
ap-760	95	54	�	�	PROPN
ap-760	95	55	�	�	PROPN
ap-760	95	56	�	�	PROPN
ap-760	95	57	�	�	PROPN
ap-760	95	58	,	,	PUNCT
ap-760	95	59	(	(	PUNCT
ap-760	95	60	)	)	PUNCT
ap-760	95	61	(	(	PUNCT
ap-760	95	62	)	)	PUNCT
ap-760	95	63	(	(	PUNCT
ap-760	95	64	)	)	PUNCT
ap-760	95	65	(	(	PUNCT
ap-760	95	66	)	)	PUNCT
ap-760	95	67	[	[	PUNCT
ap-760	95	68	,	,	PUNCT
ap-760	95	69	,	,	PUNCT
ap-760	95	70	(	(	PUNCT
ap-760	95	71	)	)	PUNCT
ap-760	95	72	[	[	PUNCT
ap-760	95	73	,	,	PUNCT
ap-760	95	74	.	.	PUNCT
ap-760	96	1	�	�	PROPN
ap-760	96	2	�	�	PROPN
ap-760	96	3	�	�	PROPN
ap-760	96	4	�	�	PROPN
ap-760	96	5	�	�	PROPN
ap-760	96	6	�	�	PROPN
ap-760	96	7	�	�	PROPN
ap-760	96	8	0	0	NUM
ap-760	96	9	0	0	NUM
ap-760	96	10	1	1	NUM
ap-760	96	11	1	1	NUM
ap-760	96	12	1	1	NUM
ap-760	96	13	1	1	NUM
ap-760	96	14	if	if	SCONJ
ap-760	96	15	if	if	SCONJ
ap-760	96	16	�	�	PROPN
ap-760	96	17	let	let	VERB
ap-760	96	18	us	we	PRON
ap-760	96	19	show	show	VERB
ap-760	96	20	the	the	DET
ap-760	96	21	most	most	ADV
ap-760	96	22	famous	famous	ADJ
ap-760	96	23	example	example	NOUN
ap-760	96	24	of	of	ADP
ap-760	96	25	sturmian	sturmian	NOUN
ap-760	96	26	words	word	NOUN
ap-760	96	27	,	,	PUNCT
ap-760	96	28	the	the	DET
ap-760	96	29	fibonacci	fibonacci	NOUN
ap-760	96	30	word	word	NOUN
ap-760	96	31	.	.	PUNCT
ap-760	97	1	example	example	NOUN
ap-760	97	2	2.1	2.1	NUM
ap-760	97	3	:	:	PUNCT
ap-760	97	4	let	let	AUX
ap-760	97	5	be	be	AUX
ap-760	97	6	the	the	DET
ap-760	97	7	map	map	NOUN
ap-760	97	8	given	give	VERB
ap-760	97	9	by	by	ADP
ap-760	97	10	:	:	PUNCT
ap-760	97	11	,	,	PUNCT
ap-760	97	12	0	0	NUM
ap-760	97	13	011	011	NUM
ap-760	97	14	0	0	NUM
ap-760	97	15	�	�	PROPN
ap-760	97	16	�	�	PROPN
ap-760	97	17	with	with	ADP
ap-760	97	18	the	the	DET
ap-760	97	19	property	property	NOUN
ap-760	97	20	(	(	PUNCT
ap-760	97	21	)	)	PUNCT
ap-760	97	22	(	(	PUNCT
ap-760	97	23	)	)	PUNCT
ap-760	97	24	(	(	PUNCT
ap-760	97	25	)	)	PUNCT
ap-760	97	26	uv	uv	NOUN
ap-760	97	27	u	u	PROPN
ap-760	97	28	v	v	ADP
ap-760	97	29	�	�	PROPN
ap-760	97	30	for	for	ADP
ap-760	97	31	any	any	DET
ap-760	97	32	finite	finite	NOUN
ap-760	97	33	words	word	NOUN
ap-760	97	34	u	u	NOUN
ap-760	97	35	,	,	PUNCT
ap-760	97	36	v	v	NOUN
ap-760	97	37	over	over	ADP
ap-760	97	38	the	the	DET
ap-760	97	39	alphabet	alphabet	NOUN
ap-760	97	40	{	{	PUNCT
ap-760	97	41	0	0	NUM
ap-760	97	42	,	,	PUNCT
ap-760	97	43	1	1	NUM
ap-760	97	44	}	}	PUNCT
ap-760	97	45	.	.	PUNCT
ap-760	98	1	define	define	VERB
ap-760	98	2	the	the	DET
ap-760	98	3	n	n	ADV
ap-760	98	4	-	-	PUNCT
ap-760	98	5	th	th	X
ap-760	98	6	finite	finite	PROPN
ap-760	98	7	fibonacci	fibonacci	NOUN
ap-760	98	8	word	word	NOUN
ap-760	98	9	fn	fn	PROPN
ap-760	98	10	in	in	ADP
ap-760	98	11	the	the	DET
ap-760	98	12	following	following	ADJ
ap-760	98	13	way	way	NOUN
ap-760	98	14	:	:	PUNCT
ap-760	98	15	f0	f0	PROPN
ap-760	98	16	0	0	NUM
ap-760	98	17	�	�	PROPN
ap-760	98	18	and	and	CCONJ
ap-760	98	19	for	for	ADP
ap-760	98	20	all	all	DET
ap-760	98	21	n	n	PRON
ap-760	98	22	�	�	PROPN
ap-760	98	23	0	0	NUM
ap-760	98	24	,	,	PUNCT
ap-760	98	25	f	f	PROPN
ap-760	98	26	fn	fn	NOUN
ap-760	98	27	n	n	CCONJ
ap-760	98	28	�	�	PROPN
ap-760	98	29	�	�	PROPN
ap-760	98	30	1	1	NUM
ap-760	98	31	(	(	PUNCT
ap-760	98	32	)	)	PUNCT
ap-760	98	33	.	.	PUNCT
ap-760	99	1	since	since	SCONJ
ap-760	99	2	f0	f0	PROPN
ap-760	99	3	0	0	NUM
ap-760	99	4	�	�	PROPN
ap-760	99	5	and	and	CCONJ
ap-760	99	6	(	(	PUNCT
ap-760	99	7	0	0	X
ap-760	99	8	)	)	PUNCT
ap-760	99	9	starts	start	VERB
ap-760	99	10	with	with	ADP
ap-760	99	11	0	0	NUM
ap-760	99	12	,	,	PUNCT
ap-760	99	13	then	then	ADV
ap-760	99	14	fn	fn	NOUN
ap-760	99	15	is	be	AUX
ap-760	99	16	the	the	DET
ap-760	99	17	prefix	prefix	NOUN
ap-760	99	18	of	of	ADP
ap-760	99	19	fn	fn	PROPN
ap-760	99	20	�	�	PROPN
ap-760	99	21	1	1	NUM
ap-760	99	22	for	for	ADP
ap-760	99	23	each	each	DET
ap-760	99	24	n	n	PRON
ap-760	99	25	�	�	PROPN
ap-760	99	26	0	0	NUM
ap-760	99	27	.	.	PUNCT
ap-760	100	1	the	the	DET
ap-760	100	2	fibonacci	fibonacci	NOUN
ap-760	100	3	word	word	NOUN
ap-760	100	4	is	be	AUX
ap-760	100	5	defined	define	VERB
ap-760	100	6	as	as	ADP
ap-760	100	7	the	the	DET
ap-760	100	8	limit	limit	NOUN
ap-760	100	9	of	of	ADP
ap-760	100	10	the	the	DET
ap-760	100	11	sequence	sequence	NOUN
ap-760	100	12	of	of	ADP
ap-760	100	13	words	word	NOUN
ap-760	100	14	fn	fn	ADV
ap-760	100	15	and	and	CCONJ
ap-760	100	16	thus	thus	ADV
ap-760	100	17	lim	lim	PROPN
ap-760	100	18	n	n	CCONJ
ap-760	100	19	nf	nf	PROPN
ap-760	100	20	�	�	PROPN
ap-760	100	21	�	�	PROPN
ap-760	100	22	�	�	PROPN
ap-760	100	23	010010100100101001010010010	010010100100101001010010010	NUM
ap-760	100	24	�	�	PROPN
ap-760	100	25	note	note	VERB
ap-760	100	26	that	that	SCONJ
ap-760	100	27	the	the	DET
ap-760	100	28	further	further	ADJ
ap-760	100	29	applications	application	NOUN
ap-760	100	30	of	of	ADP
ap-760	100	31	the	the	DET
ap-760	100	32	map	map	NOUN
ap-760	100	33	fn	fn	INTJ
ap-760	100	34	do	do	AUX
ap-760	100	35	not	not	PART
ap-760	100	36	change	change	VERB
ap-760	100	37	the	the	DET
ap-760	100	38	fibonacci	fibonacci	NOUN
ap-760	100	39	word	word	NOUN
ap-760	100	40	.	.	PUNCT
ap-760	101	1	observe	observe	VERB
ap-760	101	2	that	that	SCONJ
ap-760	101	3	the	the	DET
ap-760	101	4	length	length	NOUN
ap-760	101	5	fn	fn	PROPN
ap-760	101	6	is	be	AUX
ap-760	101	7	the	the	DET
ap-760	101	8	n	n	CCONJ
ap-760	101	9	-	-	PUNCT
ap-760	101	10	th	th	VERB
ap-760	101	11	element	element	NOUN
ap-760	101	12	of	of	ADP
ap-760	101	13	the	the	DET
ap-760	101	14	fibonacci	fibonacci	NOUN
ap-760	101	15	sequence	sequence	NOUN
ap-760	101	16	fn	fn	PROPN
ap-760	101	17	,	,	PUNCT
ap-760	101	18	(	(	PUNCT
ap-760	101	19	f	f	NOUN
ap-760	101	20	f	f	PROPN
ap-760	101	21	fn	fn	PROPN
ap-760	101	22	n	n	CCONJ
ap-760	101	23	n	n	CCONJ
ap-760	101	24	�	�	PROPN
ap-760	101	25	�	�	PROPN
ap-760	101	26	�	�	PROPN
ap-760	101	27	�	�	PROPN
ap-760	101	28	1	1	NUM
ap-760	101	29	2	2	NUM
ap-760	101	30	;	;	PUNCT
ap-760	101	31	f0	f0	PROPN
ap-760	101	32	1	1	NUM
ap-760	101	33	�	�	PROPN
ap-760	101	34	,	,	PUNCT
ap-760	101	35	f1	f1	NOUN
ap-760	101	36	2	2	NUM
ap-760	101	37	�	�	PROPN
ap-760	101	38	)	)	PUNCT
ap-760	101	39	,	,	PUNCT
ap-760	101	40	for	for	ADP
ap-760	101	41	all	all	DET
ap-760	101	42	n	n	PRON
ap-760	101	43	�	�	PROPN
ap-760	101	44	0	0	NUM
ap-760	101	45	.	.	PUNCT
ap-760	102	1	it	it	PRON
ap-760	102	2	can	can	AUX
ap-760	102	3	be	be	AUX
ap-760	102	4	shown	show	VERB
ap-760	102	5	that	that	SCONJ
ap-760	102	6	the	the	DET
ap-760	102	7	complexity	complexity	NOUN
ap-760	102	8	of	of	ADP
ap-760	102	9	the	the	DET
ap-760	102	10	fibonacci	fibonacci	NOUN
ap-760	102	11	word	word	NOUN
ap-760	102	12	equals	equal	VERB
ap-760	102	13	to	to	ADP
ap-760	102	14	n	n	PRON
ap-760	102	15	�	�	PROPN
ap-760	102	16	1	1	NUM
ap-760	102	17	,	,	PUNCT
ap-760	102	18	thus	thus	ADV
ap-760	102	19	the	the	DET
ap-760	102	20	word	word	NOUN
ap-760	102	21	is	be	AUX
ap-760	102	22	sturmian	sturmian	ADJ
ap-760	102	23	.	.	PUNCT
ap-760	103	1	the	the	DET
ap-760	103	2	fibonacci	fibonacci	NOUN
ap-760	103	3	word	word	NOUN
ap-760	103	4	also	also	ADV
ap-760	103	5	coincides	coincide	VERB
ap-760	103	6	with	with	ADP
ap-760	103	7	the	the	DET
ap-760	103	8	mechanical	mechanical	ADJ
ap-760	103	9	word	word	NOUN
ap-760	103	10	with	with	ADP
ap-760	103	11	slope	slope	NOUN
ap-760	103	12	1	1	NUM
ap-760	103	13	2	2	NUM
ap-760	103	14	and	and	CCONJ
ap-760	103	15	zero	zero	NUM
ap-760	103	16	intercept	intercept	NOUN
ap-760	103	17	,	,	PUNCT
ap-760	103	18	where	where	SCONJ
ap-760	103	19	�	�	PROPN
ap-760	103	20	�	�	PROPN
ap-760	103	21	1	1	NUM
ap-760	103	22	2	2	NUM
ap-760	103	23	1	1	NUM
ap-760	103	24	5	5	NUM
ap-760	103	25	(	(	PUNCT
ap-760	103	26	)	)	PUNCT
ap-760	103	27	is	be	AUX
ap-760	103	28	the	the	DET
ap-760	103	29	golden	golden	ADJ
ap-760	103	30	mean	mean	NOUN
ap-760	103	31	.	.	PUNCT
ap-760	104	1	we	we	PRON
ap-760	104	2	finalize	finalize	VERB
ap-760	104	3	this	this	DET
ap-760	104	4	part	part	NOUN
ap-760	104	5	with	with	ADP
ap-760	104	6	a	a	DET
ap-760	104	7	theorem	theorem	NOUN
ap-760	104	8	by	by	ADP
ap-760	104	9	hedlund	hedlund	PROPN
ap-760	104	10	and	and	CCONJ
ap-760	104	11	morse	morse	NOUN
ap-760	104	12	[	[	X
ap-760	104	13	4	4	X
ap-760	104	14	]	]	PUNCT
ap-760	104	15	which	which	PRON
ap-760	104	16	states	state	VERB
ap-760	104	17	that	that	SCONJ
ap-760	104	18	sturmian	sturmian	NOUN
ap-760	104	19	,	,	PUNCT
ap-760	104	20	balanced	balanced	ADJ
ap-760	104	21	and	and	CCONJ
ap-760	104	22	mechanical	mechanical	ADJ
ap-760	104	23	words	word	NOUN
ap-760	104	24	are	be	AUX
ap-760	104	25	indeed	indeed	ADV
ap-760	104	26	equivalent	equivalent	ADJ
ap-760	104	27	.	.	PUNCT
ap-760	105	1	theorem	theorem	VERB
ap-760	105	2	2.1	2.1	NUM
ap-760	105	3	:	:	PUNCT
ap-760	105	4	(	(	PUNCT
ap-760	105	5	hedlund	hedlund	PROPN
ap-760	105	6	,	,	PUNCT
ap-760	105	7	morse	morse	PROPN
ap-760	105	8	)	)	PUNCT
ap-760	105	9	.	.	PUNCT
ap-760	106	1	let	let	VERB
ap-760	106	2	w	w	NOUN
ap-760	106	3	be	be	AUX
ap-760	106	4	an	an	DET
ap-760	106	5	infinite	infinite	ADJ
ap-760	106	6	word	word	NOUN
ap-760	106	7	over	over	ADP
ap-760	106	8	the	the	DET
ap-760	106	9	alphabet	alphabet	NOUN
ap-760	106	10	a	a	DET
ap-760	106	11	�	�	PROPN
ap-760	106	12	{	{	PUNCT
ap-760	106	13	,	,	PUNCT
ap-760	106	14	}	}	PUNCT
ap-760	106	15	0	0	NUM
ap-760	106	16	1	1	NUM
ap-760	106	17	.	.	PUNCT
ap-760	107	1	the	the	DET
ap-760	107	2	following	follow	VERB
ap-760	107	3	conditions	condition	NOUN
ap-760	107	4	are	be	AUX
ap-760	107	5	equivalent	equivalent	ADJ
ap-760	107	6	:	:	PUNCT
ap-760	107	7	1	1	X
ap-760	107	8	.	.	X
ap-760	107	9	w	w	NOUN
ap-760	107	10	is	be	AUX
ap-760	107	11	sturmian	sturmian	NOUN
ap-760	107	12	;	;	PUNCT
ap-760	107	13	2	2	X
ap-760	107	14	.	.	X
ap-760	107	15	w	w	NOUN
ap-760	107	16	is	be	AUX
ap-760	107	17	balanced	balanced	ADJ
ap-760	107	18	and	and	CCONJ
ap-760	107	19	aperiodic	aperiodic	ADJ
ap-760	107	20	;	;	PUNCT
ap-760	107	21	3	3	X
ap-760	107	22	.	.	X
ap-760	107	23	there	there	PRON
ap-760	107	24	exist	exist	VERB
ap-760	107	25	an	an	DET
ap-760	107	26	irrational	irrational	ADJ
ap-760	107	27	�	�	PROPN
ap-760	107	28	,	,	PUNCT
ap-760	107	29	�	�	PROPN
ap-760	107	30	�	�	PROPN
ap-760	107	31	(	(	PUNCT
ap-760	107	32	,	,	PUNCT
ap-760	107	33	)	)	PUNCT
ap-760	107	34	0	0	NUM
ap-760	107	35	1	1	NUM
ap-760	107	36	and	and	CCONJ
ap-760	107	37	a	a	DET
ap-760	107	38	real	real	ADJ
ap-760	107	39	�	�	PROPN
ap-760	107	40	�	�	PROPN
ap-760	107	41	[	[	PUNCT
ap-760	107	42	,	,	PUNCT
ap-760	107	43	)	)	PUNCT
ap-760	107	44	0	0	NUM
ap-760	108	1	1	1	NUM
ap-760	108	2	such	such	ADJ
ap-760	108	3	that	that	SCONJ
ap-760	108	4	w	w	PROPN
ap-760	108	5	s	s	PROPN
ap-760	108	6	�	�	PROPN
ap-760	108	7	�	�	PROPN
ap-760	108	8	�	�	PROPN
ap-760	108	9	,	,	PUNCT
ap-760	108	10	or	or	CCONJ
ap-760	108	11	w	w	PROPN
ap-760	108	12	s	s	PROPN
ap-760	108	13	�	�	PROPN
ap-760	108	14	�	�	PROPN
ap-760	108	15	�	�	PROPN
ap-760	108	16	,	,	PUNCT
ap-760	108	17	,	,	PUNCT
ap-760	108	18	for	for	ADP
ap-760	108	19	all	all	DET
ap-760	108	20	n	n	PRON
ap-760	108	21	�	�	PROPN
ap-760	108	22	0	0	NUM
ap-760	108	23	.	.	PUNCT
ap-760	109	1	there	there	PRON
ap-760	109	2	exist	exist	VERB
ap-760	109	3	several	several	ADJ
ap-760	109	4	proofs	proof	NOUN
ap-760	109	5	of	of	ADP
ap-760	109	6	the	the	DET
ap-760	109	7	theorem	theorem	NOUN
ap-760	109	8	.	.	PUNCT
ap-760	110	1	the	the	DET
ap-760	110	2	original	original	ADJ
ap-760	110	3	proof	proof	NOUN
ap-760	110	4	[	[	X
ap-760	110	5	4	4	X
ap-760	110	6	]	]	PUNCT
ap-760	110	7	is	be	AUX
ap-760	110	8	of	of	ADP
ap-760	110	9	combinatorial	combinatorial	ADJ
ap-760	110	10	nature	nature	NOUN
ap-760	110	11	,	,	PUNCT
ap-760	110	12	while	while	SCONJ
ap-760	110	13	the	the	DET
ap-760	110	14	other	other	ADJ
ap-760	110	15	by	by	ADP
ap-760	110	16	lunnon	lunnon	NOUN
ap-760	110	17	and	and	CCONJ
ap-760	110	18	pleasants	pleasant	NOUN
ap-760	110	19	[	[	X
ap-760	110	20	14	14	NUM
ap-760	110	21	]	]	PUNCT
ap-760	110	22	is	be	AUX
ap-760	110	23	based	base	VERB
ap-760	110	24	on	on	ADP
ap-760	110	25	geometrical	geometrical	ADJ
ap-760	110	26	considerations	consideration	NOUN
ap-760	110	27	.	.	PUNCT
ap-760	111	1	2.1	2.1	NUM
ap-760	111	2	other	other	ADJ
ap-760	111	3	characteristics	characteristic	NOUN
ap-760	111	4	of	of	ADP
ap-760	111	5	sturmian	sturmian	ADJ
ap-760	111	6	words	word	NOUN
ap-760	111	7	we	we	PRON
ap-760	111	8	have	have	AUX
ap-760	111	9	mentioned	mention	VERB
ap-760	111	10	several	several	ADJ
ap-760	111	11	equivalent	equivalent	ADJ
ap-760	111	12	definitions	definition	NOUN
ap-760	111	13	of	of	ADP
ap-760	111	14	sturmian	sturmian	ADJ
ap-760	111	15	words	word	NOUN
ap-760	111	16	as	as	ADP
ap-760	111	17	those	those	PRON
ap-760	111	18	with	with	ADP
ap-760	111	19	minimal	minimal	ADJ
ap-760	111	20	complexity	complexity	NOUN
ap-760	111	21	,	,	PUNCT
ap-760	111	22	balanced	balanced	ADJ
ap-760	111	23	aperiodic	aperiodic	ADJ
ap-760	111	24	sequences	sequence	NOUN
ap-760	111	25	and	and	CCONJ
ap-760	111	26	mechanical	mechanical	ADJ
ap-760	111	27	words	word	NOUN
ap-760	111	28	.	.	PUNCT
ap-760	112	1	in	in	ADP
ap-760	112	2	the	the	DET
ap-760	112	3	past	past	ADJ
ap-760	112	4	few	few	ADJ
ap-760	112	5	years	year	NOUN
ap-760	112	6	,	,	PUNCT
ap-760	112	7	there	there	PRON
ap-760	112	8	have	have	AUX
ap-760	112	9	been	be	AUX
ap-760	112	10	successful	successful	ADJ
ap-760	112	11	attempts	attempt	NOUN
ap-760	112	12	to	to	PART
ap-760	112	13	find	find	VERB
ap-760	112	14	a	a	DET
ap-760	112	15	new	new	ADJ
ap-760	112	16	characterization	characterization	NOUN
ap-760	112	17	of	of	ADP
ap-760	112	18	sturmian	sturmian	ADJ
ap-760	112	19	words	word	NOUN
ap-760	112	20	.	.	PUNCT
ap-760	113	1	the	the	DET
ap-760	113	2	first	first	ADJ
ap-760	113	3	one	one	NUM
ap-760	113	4	,	,	PUNCT
ap-760	113	5	which	which	PRON
ap-760	113	6	we	we	PRON
ap-760	113	7	will	will	AUX
ap-760	113	8	describe	describe	VERB
ap-760	113	9	uses	use	NOUN
ap-760	113	10	return	return	NOUN
ap-760	113	11	words	word	NOUN
ap-760	113	12	,	,	PUNCT
ap-760	113	13	while	while	SCONJ
ap-760	113	14	the	the	DET
ap-760	113	15	second	second	ADJ
ap-760	113	16	uses	use	VERB
ap-760	113	17	palindromes	palindrome	NOUN
ap-760	113	18	.	.	PUNCT
ap-760	114	1	let	let	VERB
ap-760	114	2	w	w	NOUN
ap-760	114	3	be	be	AUX
ap-760	114	4	a	a	DET
ap-760	114	5	one	one	NUM
ap-760	114	6	-	-	PUNCT
ap-760	114	7	sided	sided	ADJ
ap-760	114	8	infinite	infinite	ADJ
ap-760	114	9	word	word	NOUN
ap-760	114	10	and	and	CCONJ
ap-760	114	11	u	u	NOUN
ap-760	114	12	a	a	DET
ap-760	114	13	factor	factor	NOUN
ap-760	114	14	of	of	ADP
ap-760	114	15	w.	w.	NOUN
ap-760	114	16	we	we	PRON
ap-760	114	17	say	say	VERB
ap-760	114	18	that	that	SCONJ
ap-760	114	19	a	a	DET
ap-760	114	20	finite	finite	ADJ
ap-760	114	21	word	word	NOUN
ap-760	114	22	v	v	NOUN
ap-760	114	23	is	be	AUX
ap-760	114	24	the	the	DET
ap-760	114	25	return	return	NOUN
ap-760	114	26	word	word	NOUN
ap-760	114	27	over	over	ADP
ap-760	114	28	u	u	NOUN
ap-760	114	29	if	if	SCONJ
ap-760	114	30	vu	vu	PROPN
ap-760	114	31	is	be	AUX
ap-760	114	32	a	a	DET
ap-760	114	33	factor	factor	NOUN
ap-760	114	34	of	of	ADP
ap-760	114	35	w	w	PROPN
ap-760	114	36	,	,	PUNCT
ap-760	114	37	u	u	NOUN
ap-760	114	38	is	be	AUX
ap-760	114	39	a	a	DET
ap-760	114	40	prefix	prefix	NOUN
ap-760	114	41	of	of	ADP
ap-760	114	42	vu	vu	NOUN
ap-760	114	43	and	and	CCONJ
ap-760	114	44	there	there	PRON
ap-760	114	45	are	be	VERB
ap-760	114	46	exactly	exactly	ADV
ap-760	114	47	2	2	NUM
ap-760	114	48	occurrences	occurrence	NOUN
ap-760	114	49	of	of	ADP
ap-760	114	50	u	u	NOUN
ap-760	114	51	20	20	NUM
ap-760	114	52	©	©	PROPN
ap-760	114	53	czech	czech	PROPN
ap-760	114	54	technical	technical	PROPN
ap-760	114	55	university	university	PROPN
ap-760	114	56	publishing	publishing	NOUN
ap-760	114	57	house	house	NOUN
ap-760	114	58	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-760	114	59	acta	acta	PROPN
ap-760	114	60	polytechnica	polytechnica	PROPN
ap-760	114	61	vol	vol	NOUN
ap-760	114	62	.	.	PROPN
ap-760	115	1	45	45	NUM
ap-760	115	2	no	no	NOUN
ap-760	115	3	.	.	PUNCT
ap-760	116	1	5/2005	5/2005	NUM
ap-760	116	2	czech	czech	PROPN
ap-760	116	3	technical	technical	PROPN
ap-760	116	4	university	university	PROPN
ap-760	116	5	in	in	ADP
ap-760	116	6	prague	prague	PROPN
ap-760	116	7	in	in	ADP
ap-760	116	8	vu	vu	PROPN
ap-760	116	9	.	.	PUNCT
ap-760	117	1	in	in	ADP
ap-760	117	2	other	other	ADJ
ap-760	117	3	words	word	NOUN
ap-760	117	4	,	,	PUNCT
ap-760	117	5	the	the	DET
ap-760	117	6	return	return	NOUN
ap-760	117	7	word	word	NOUN
ap-760	117	8	v	v	NOUN
ap-760	117	9	over	over	ADP
ap-760	117	10	u	u	NOUN
ap-760	117	11	starts	start	VERB
ap-760	117	12	with	with	ADP
ap-760	117	13	the	the	DET
ap-760	117	14	occurrence	occurrence	NOUN
ap-760	117	15	of	of	ADP
ap-760	117	16	u	u	NOUN
ap-760	117	17	and	and	CCONJ
ap-760	117	18	ends	end	VERB
ap-760	117	19	just	just	ADV
ap-760	117	20	before	before	ADP
ap-760	117	21	the	the	DET
ap-760	117	22	next	next	ADJ
ap-760	117	23	occurrence	occurrence	NOUN
ap-760	117	24	of	of	ADP
ap-760	117	25	u.	u.	PROPN
ap-760	117	26	example	example	NOUN
ap-760	117	27	2.2	2.2	NUM
ap-760	117	28	:	:	PUNCT
ap-760	117	29	let	let	VERB
ap-760	117	30	0100101001001010010100100101	0100101001001010010100100101	NUM
ap-760	117	31	…	…	PUNCT
ap-760	117	32	be	be	AUX
ap-760	117	33	the	the	DET
ap-760	117	34	fibonacci	fibonacci	NOUN
ap-760	117	35	word	word	NOUN
ap-760	117	36	.	.	PUNCT
ap-760	118	1	the	the	DET
ap-760	118	2	set	set	NOUN
ap-760	118	3	of	of	ADP
ap-760	118	4	return	return	NOUN
ap-760	118	5	words	word	NOUN
ap-760	118	6	over	over	ADP
ap-760	118	7	0101	0101	PROPN
ap-760	118	8	contains	contain	VERB
ap-760	118	9	words	word	NOUN
ap-760	118	10	01010010	01010010	NUM
ap-760	118	11	and	and	CCONJ
ap-760	118	12	01010	01010	NUM
ap-760	118	13	.	.	PUNCT
ap-760	119	1	for	for	ADP
ap-760	119	2	clarity	clarity	NOUN
ap-760	119	3	,	,	PUNCT
ap-760	119	4	here	here	ADV
ap-760	119	5	is	be	AUX
ap-760	119	6	the	the	DET
ap-760	119	7	fibonacci	fibonacci	NOUN
ap-760	119	8	word	word	NOUN
ap-760	119	9	with	with	ADP
ap-760	119	10	indicated	indicate	VERB
ap-760	119	11	return	return	NOUN
ap-760	119	12	words	word	NOUN
ap-760	119	13	over	over	ADP
ap-760	119	14	0101	0101	NUM
ap-760	119	15	:	:	PUNCT
ap-760	120	1	0100101001001010010100100101	0100101001001010010100100101	NUM
ap-760	120	2	…	…	PUNCT
ap-760	120	3	vuillon	vuillon	NOUN
ap-760	120	4	[	[	X
ap-760	120	5	15	15	NUM
ap-760	120	6	]	]	PUNCT
ap-760	120	7	observed	observe	VERB
ap-760	120	8	that	that	SCONJ
ap-760	120	9	the	the	DET
ap-760	120	10	number	number	NOUN
ap-760	120	11	of	of	ADP
ap-760	120	12	return	return	NOUN
ap-760	120	13	words	word	NOUN
ap-760	120	14	indicates	indicate	VERB
ap-760	120	15	whether	whether	SCONJ
ap-760	120	16	a	a	DET
ap-760	120	17	word	word	NOUN
ap-760	120	18	is	be	AUX
ap-760	120	19	sturmian	sturmian	NOUN
ap-760	120	20	or	or	CCONJ
ap-760	120	21	not	not	PART
ap-760	120	22	.	.	PUNCT
ap-760	121	1	he	he	PRON
ap-760	121	2	showed	show	VERB
ap-760	121	3	the	the	DET
ap-760	121	4	following	follow	VERB
ap-760	121	5	theorem	theorem	VERB
ap-760	121	6	.	.	PUNCT
ap-760	121	7	theorem	theorem	VERB
ap-760	121	8	2.2	2.2	NUM
ap-760	121	9	:	:	PUNCT
ap-760	121	10	a	a	DET
ap-760	121	11	binary	binary	ADJ
ap-760	121	12	infinite	infinite	ADJ
ap-760	121	13	word	word	NOUN
ap-760	121	14	w	w	NOUN
ap-760	121	15	is	be	AUX
ap-760	121	16	sturmian	sturmian	ADJ
ap-760	121	17	if	if	SCONJ
ap-760	121	18	and	and	CCONJ
ap-760	121	19	only	only	ADV
ap-760	121	20	if	if	SCONJ
ap-760	121	21	the	the	DET
ap-760	121	22	set	set	NOUN
ap-760	121	23	of	of	ADP
ap-760	121	24	return	return	NOUN
ap-760	121	25	words	word	NOUN
ap-760	121	26	over	over	ADP
ap-760	121	27	u	u	NOUN
ap-760	121	28	has	have	VERB
ap-760	121	29	exactly	exactly	ADV
ap-760	121	30	two	two	NUM
ap-760	121	31	elements	element	NOUN
ap-760	121	32	for	for	ADP
ap-760	121	33	every	every	DET
ap-760	121	34	non	non	ADJ
ap-760	121	35	empty	empty	ADJ
ap-760	121	36	word	word	NOUN
ap-760	121	37	u.	u.	NOUN
ap-760	121	38	note	note	VERB
ap-760	121	39	that	that	SCONJ
ap-760	121	40	the	the	DET
ap-760	121	41	proof	proof	NOUN
ap-760	121	42	of	of	ADP
ap-760	121	43	the	the	DET
ap-760	121	44	necessary	necessary	ADJ
ap-760	121	45	condition	condition	NOUN
ap-760	121	46	includes	include	VERB
ap-760	121	47	a	a	DET
ap-760	121	48	nice	nice	ADJ
ap-760	121	49	application	application	NOUN
ap-760	121	50	of	of	ADP
ap-760	121	51	rauzy	rauzy	NOUN
ap-760	121	52	graphs	graph	NOUN
ap-760	121	53	,	,	PUNCT
ap-760	121	54	which	which	PRON
ap-760	121	55	are	be	AUX
ap-760	121	56	often	often	ADV
ap-760	121	57	used	use	VERB
ap-760	121	58	for	for	ADP
ap-760	121	59	investigation	investigation	NOUN
ap-760	121	60	of	of	ADP
ap-760	121	61	growth	growth	NOUN
ap-760	121	62	of	of	ADP
ap-760	121	63	the	the	DET
ap-760	121	64	complexity	complexity	NOUN
ap-760	121	65	in	in	ADP
ap-760	121	66	infinite	infinite	ADJ
ap-760	121	67	words	word	NOUN
ap-760	121	68	[	[	X
ap-760	121	69	8	8	NUM
ap-760	121	70	]	]	PUNCT
ap-760	121	71	.	.	PUNCT
ap-760	122	1	let	let	VERB
ap-760	122	2	us	we	PRON
ap-760	122	3	focus	focus	VERB
ap-760	122	4	on	on	ADP
ap-760	122	5	palindromes	palindrome	NOUN
ap-760	122	6	.	.	PUNCT
ap-760	123	1	a	a	DET
ap-760	123	2	palindrome	palindrome	NOUN
ap-760	123	3	is	be	AUX
ap-760	123	4	a	a	DET
ap-760	123	5	finite	finite	ADJ
ap-760	123	6	word	word	NOUN
ap-760	123	7	that	that	PRON
ap-760	123	8	reads	read	VERB
ap-760	123	9	the	the	DET
ap-760	123	10	same	same	ADJ
ap-760	123	11	backwards	backwards	ADV
ap-760	123	12	as	as	ADP
ap-760	123	13	forwards	forward	NOUN
ap-760	123	14	.	.	PUNCT
ap-760	124	1	for	for	ADP
ap-760	124	2	instance	instance	NOUN
ap-760	124	3	,	,	PUNCT
ap-760	124	4	these	these	PRON
ap-760	124	5	are	be	AUX
ap-760	124	6	the	the	DET
ap-760	124	7	first	first	ADJ
ap-760	124	8	palindromes	palindrome	NOUN
ap-760	124	9	of	of	ADP
ap-760	124	10	the	the	DET
ap-760	124	11	fibonacci	fibonacci	NOUN
ap-760	124	12	word	word	NOUN
ap-760	124	13	:	:	PUNCT
ap-760	124	14	�	�	PROPN
ap-760	124	15	,	,	PUNCT
ap-760	124	16	0	0	NUM
ap-760	124	17	,	,	PUNCT
ap-760	124	18	1	1	NUM
ap-760	124	19	,	,	PUNCT
ap-760	124	20	00	00	NUM
ap-760	124	21	,	,	PUNCT
ap-760	124	22	010	010	NUM
ap-760	124	23	,	,	PUNCT
ap-760	124	24	101	101	NUM
ap-760	124	25	,	,	PUNCT
ap-760	124	26	1001	1001	NUM
ap-760	124	27	,	,	PUNCT
ap-760	124	28	00100	00100	NUM
ap-760	124	29	,	,	PUNCT
ap-760	124	30	01010	01010	NUM
ap-760	124	31	,	,	PUNCT
ap-760	124	32	…	…	PUNCT
ap-760	124	33	in	in	ADP
ap-760	124	34	[	[	X
ap-760	124	35	16	16	NUM
ap-760	124	36	]	]	PUNCT
ap-760	124	37	,	,	PUNCT
ap-760	124	38	droubay	droubay	ADJ
ap-760	124	39	and	and	CCONJ
ap-760	124	40	pirillo	pirillo	PROPN
ap-760	124	41	showed	show	VERB
ap-760	124	42	the	the	DET
ap-760	124	43	characterization	characterization	NOUN
ap-760	124	44	of	of	ADP
ap-760	124	45	sturmian	sturmian	ADJ
ap-760	124	46	words	word	NOUN
ap-760	124	47	by	by	ADP
ap-760	124	48	observing	observe	VERB
ap-760	124	49	the	the	DET
ap-760	124	50	number	number	NOUN
ap-760	124	51	of	of	ADP
ap-760	124	52	palindromes	palindrome	NOUN
ap-760	124	53	of	of	ADP
ap-760	124	54	even	even	ADV
ap-760	124	55	and	and	CCONJ
ap-760	124	56	odd	odd	ADJ
ap-760	124	57	length	length	NOUN
ap-760	124	58	.	.	PUNCT
ap-760	125	1	theorem	theorem	VERB
ap-760	125	2	2.3	2.3	NUM
ap-760	125	3	:	:	PUNCT
ap-760	125	4	an	an	DET
ap-760	125	5	infinite	infinite	ADJ
ap-760	125	6	word	word	NOUN
ap-760	125	7	is	be	AUX
ap-760	125	8	sturmian	sturmian	ADJ
ap-760	125	9	if	if	SCONJ
ap-760	125	10	and	and	CCONJ
ap-760	125	11	only	only	ADV
ap-760	125	12	if	if	SCONJ
ap-760	125	13	,	,	PUNCT
ap-760	125	14	for	for	ADP
ap-760	125	15	each	each	DET
ap-760	125	16	nonnegative	nonnegative	ADJ
ap-760	125	17	integer	integer	NOUN
ap-760	125	18	n	n	CCONJ
ap-760	125	19	,	,	PUNCT
ap-760	125	20	there	there	PRON
ap-760	125	21	is	be	VERB
ap-760	125	22	exactly	exactly	ADV
ap-760	125	23	one	one	NUM
ap-760	125	24	palindrome	palindrome	NOUN
ap-760	125	25	of	of	ADP
ap-760	125	26	length	length	NOUN
ap-760	125	27	n	n	CCONJ
ap-760	125	28	,	,	PUNCT
ap-760	125	29	if	if	SCONJ
ap-760	125	30	n	n	PRON
ap-760	125	31	is	be	AUX
ap-760	125	32	even	even	ADV
ap-760	125	33	,	,	PUNCT
ap-760	125	34	and	and	CCONJ
ap-760	125	35	there	there	PRON
ap-760	125	36	are	be	VERB
ap-760	125	37	exactly	exactly	ADV
ap-760	125	38	two	two	NUM
ap-760	125	39	palindromes	palindrome	NOUN
ap-760	125	40	of	of	ADP
ap-760	125	41	length	length	NOUN
ap-760	125	42	n	n	CCONJ
ap-760	125	43	,	,	PUNCT
ap-760	125	44	if	if	SCONJ
ap-760	125	45	n	n	PRON
ap-760	125	46	is	be	AUX
ap-760	125	47	odd	odd	ADJ
ap-760	125	48	.	.	PUNCT
ap-760	126	1	the	the	DET
ap-760	126	2	mapping	mapping	NOUN
ap-760	126	3	that	that	PRON
ap-760	126	4	assigns	assign	VERB
ap-760	126	5	to	to	ADP
ap-760	126	6	an	an	DET
ap-760	126	7	integer	integer	NOUN
ap-760	126	8	n	n	CCONJ
ap-760	126	9	the	the	DET
ap-760	126	10	number	number	NOUN
ap-760	126	11	of	of	ADP
ap-760	126	12	palindromes	palindrome	NOUN
ap-760	126	13	of	of	ADP
ap-760	126	14	length	length	NOUN
ap-760	126	15	n	n	NOUN
ap-760	126	16	in	in	ADP
ap-760	126	17	a	a	DET
ap-760	126	18	word	word	NOUN
ap-760	126	19	is	be	AUX
ap-760	126	20	called	call	VERB
ap-760	126	21	the	the	DET
ap-760	126	22	palindromic	palindromic	ADJ
ap-760	126	23	complexity	complexity	NOUN
ap-760	126	24	.	.	PUNCT
ap-760	127	1	in	in	ADP
ap-760	127	2	the	the	DET
ap-760	127	3	context	context	NOUN
ap-760	127	4	of	of	ADP
ap-760	127	5	palindromes	palindrome	NOUN
ap-760	127	6	and	and	CCONJ
ap-760	127	7	sturmian	sturmian	NOUN
ap-760	127	8	words	word	NOUN
ap-760	127	9	,	,	PUNCT
ap-760	127	10	let	let	VERB
ap-760	127	11	us	we	PRON
ap-760	127	12	draw	draw	VERB
ap-760	127	13	attention	attention	NOUN
ap-760	127	14	to	to	ADP
ap-760	127	15	paper	paper	NOUN
ap-760	127	16	[	[	X
ap-760	127	17	17	17	NUM
ap-760	127	18	]	]	PUNCT
ap-760	127	19	.	.	PUNCT
ap-760	128	1	the	the	DET
ap-760	128	2	authors	author	NOUN
ap-760	128	3	proved	prove	VERB
ap-760	128	4	that	that	SCONJ
ap-760	128	5	the	the	DET
ap-760	128	6	number	number	NOUN
ap-760	128	7	of	of	ADP
ap-760	128	8	palindromes	palindrome	NOUN
ap-760	128	9	in	in	ADP
ap-760	128	10	a	a	DET
ap-760	128	11	word	word	NOUN
ap-760	128	12	n	n	ADP
ap-760	128	13	of	of	ADP
ap-760	128	14	length	length	NOUN
ap-760	128	15	n	n	NUM
ap-760	128	16	is	be	AUX
ap-760	128	17	less	less	ADJ
ap-760	128	18	or	or	CCONJ
ap-760	128	19	is	be	AUX
ap-760	128	20	equal	equal	ADJ
ap-760	128	21	to	to	ADP
ap-760	128	22	n	n	CCONJ
ap-760	128	23	�	�	PROPN
ap-760	128	24	1	1	NUM
ap-760	128	25	.	.	PUNCT
ap-760	128	26	note	note	VERB
ap-760	128	27	that	that	SCONJ
ap-760	128	28	this	this	PRON
ap-760	128	29	holds	hold	VERB
ap-760	128	30	for	for	ADP
ap-760	128	31	any	any	DET
ap-760	128	32	kind	kind	NOUN
ap-760	128	33	of	of	ADP
ap-760	128	34	words	word	NOUN
ap-760	128	35	(	(	PUNCT
ap-760	128	36	not	not	PART
ap-760	128	37	necessary	necessary	ADJ
ap-760	128	38	sturmian	sturmian	NOUN
ap-760	128	39	)	)	PUNCT
ap-760	128	40	over	over	ADP
ap-760	128	41	arbitrary	arbitrary	ADJ
ap-760	128	42	alphabets	alphabet	NOUN
ap-760	128	43	.	.	PUNCT
ap-760	129	1	however	however	ADV
ap-760	129	2	in	in	ADP
ap-760	129	3	the	the	DET
ap-760	129	4	case	case	NOUN
ap-760	129	5	of	of	ADP
ap-760	129	6	sturmian	sturmian	ADJ
ap-760	129	7	words	word	NOUN
ap-760	129	8	it	it	PRON
ap-760	129	9	was	be	AUX
ap-760	129	10	shown	show	VERB
ap-760	129	11	in	in	ADP
ap-760	129	12	[	[	X
ap-760	129	13	17	17	NUM
ap-760	129	14	]	]	PUNCT
ap-760	129	15	that	that	SCONJ
ap-760	129	16	the	the	DET
ap-760	129	17	number	number	NOUN
ap-760	129	18	of	of	ADP
ap-760	129	19	all	all	DET
ap-760	129	20	palindromes	palindrome	NOUN
ap-760	129	21	in	in	ADP
ap-760	129	22	a	a	DET
ap-760	129	23	factor	factor	NOUN
ap-760	129	24	of	of	ADP
ap-760	129	25	length	length	NOUN
ap-760	129	26	n	n	PROPN
ap-760	129	27	is	be	AUX
ap-760	129	28	equal	equal	ADJ
ap-760	129	29	to	to	ADP
ap-760	129	30	n	n	CCONJ
ap-760	129	31	�	�	PROPN
ap-760	129	32	1	1	NUM
ap-760	129	33	.	.	PUNCT
ap-760	130	1	the	the	DET
ap-760	130	2	reader	reader	NOUN
ap-760	130	3	may	may	AUX
ap-760	130	4	like	like	VERB
ap-760	130	5	to	to	PART
ap-760	130	6	try	try	VERB
ap-760	130	7	finding	find	VERB
ap-760	130	8	words	word	NOUN
ap-760	130	9	of	of	ADP
ap-760	130	10	length	length	NOUN
ap-760	130	11	n	n	NOUN
ap-760	130	12	over	over	ADP
ap-760	130	13	a	a	DET
ap-760	130	14	2	2	NUM
ap-760	130	15	-	-	PUNCT
ap-760	130	16	letter	letter	NOUN
ap-760	130	17	alphabet	alphabet	NOUN
ap-760	130	18	with	with	ADP
ap-760	130	19	the	the	DET
ap-760	130	20	number	number	NOUN
ap-760	130	21	of	of	ADP
ap-760	130	22	palindromes	palindrome	NOUN
ap-760	130	23	less	less	ADJ
ap-760	130	24	than	than	ADP
ap-760	130	25	n	n	CCONJ
ap-760	130	26	�	�	PROPN
ap-760	130	27	1	1	NUM
ap-760	130	28	;	;	PUNCT
ap-760	130	29	this	this	PRON
ap-760	130	30	is	be	AUX
ap-760	130	31	not	not	PART
ap-760	130	32	as	as	ADV
ap-760	130	33	trivial	trivial	ADJ
ap-760	130	34	as	as	SCONJ
ap-760	130	35	it	it	PRON
ap-760	130	36	may	may	AUX
ap-760	130	37	appear	appear	VERB
ap-760	130	38	to	to	PART
ap-760	130	39	be	be	AUX
ap-760	130	40	.	.	PUNCT
ap-760	131	1	2.2	2.2	NUM
ap-760	131	2	bidirectional	bidirectional	ADJ
ap-760	131	3	sturmian	sturmian	NOUN
ap-760	131	4	words	word	NOUN
ap-760	131	5	in	in	ADP
ap-760	131	6	the	the	DET
ap-760	131	7	previous	previous	ADJ
ap-760	131	8	sections	section	NOUN
ap-760	131	9	we	we	PRON
ap-760	131	10	have	have	AUX
ap-760	131	11	outlined	outline	VERB
ap-760	131	12	several	several	ADJ
ap-760	131	13	characteristics	characteristic	NOUN
ap-760	131	14	of	of	ADP
ap-760	131	15	sturmian	sturmian	ADJ
ap-760	131	16	words	word	NOUN
ap-760	131	17	.	.	PUNCT
ap-760	132	1	however	however	ADV
ap-760	132	2	we	we	PRON
ap-760	132	3	have	have	AUX
ap-760	132	4	limited	limit	VERB
ap-760	132	5	ourselves	ourselves	PRON
ap-760	132	6	,	,	PUNCT
ap-760	132	7	from	from	ADP
ap-760	132	8	the	the	DET
ap-760	132	9	very	very	ADV
ap-760	132	10	first	first	ADJ
ap-760	132	11	definitions	definition	NOUN
ap-760	132	12	,	,	PUNCT
ap-760	132	13	to	to	ADP
ap-760	132	14	one	one	NUM
ap-760	132	15	-	-	PUNCT
ap-760	132	16	sided	side	VERB
ap-760	132	17	infinite	infinite	ADJ
ap-760	132	18	words	word	NOUN
ap-760	132	19	.	.	PUNCT
ap-760	133	1	this	this	DET
ap-760	133	2	restriction	restriction	NOUN
ap-760	133	3	is	be	AUX
ap-760	133	4	typical	typical	ADJ
ap-760	133	5	for	for	ADP
ap-760	133	6	a	a	DET
ap-760	133	7	large	large	ADJ
ap-760	133	8	number	number	NOUN
ap-760	133	9	of	of	ADP
ap-760	133	10	papers	paper	NOUN
ap-760	133	11	,	,	PUNCT
ap-760	133	12	in	in	ADP
ap-760	133	13	spite	spite	NOUN
ap-760	133	14	the	the	DET
ap-760	133	15	fact	fact	NOUN
ap-760	133	16	that	that	SCONJ
ap-760	133	17	the	the	DET
ap-760	133	18	definitions	definition	NOUN
ap-760	133	19	of	of	ADP
ap-760	133	20	notions	notion	NOUN
ap-760	133	21	like	like	ADP
ap-760	133	22	balanced	balanced	ADJ
ap-760	133	23	words	word	NOUN
ap-760	133	24	,	,	PUNCT
ap-760	133	25	mechanical	mechanical	ADJ
ap-760	133	26	words	word	NOUN
ap-760	133	27	etc	etc	X
ap-760	133	28	.	.	X
ap-760	133	29	can	can	AUX
ap-760	133	30	be	be	AUX
ap-760	133	31	extended	extend	VERB
ap-760	133	32	,	,	PUNCT
ap-760	133	33	very	very	ADV
ap-760	133	34	naturally	naturally	ADV
ap-760	133	35	,	,	PUNCT
ap-760	133	36	to	to	ADP
ap-760	133	37	both	both	DET
ap-760	133	38	sides	side	NOUN
ap-760	133	39	.	.	PUNCT
ap-760	134	1	the	the	DET
ap-760	134	2	question	question	NOUN
ap-760	134	3	is	be	AUX
ap-760	134	4	,	,	PUNCT
ap-760	134	5	whether	whether	SCONJ
ap-760	134	6	the	the	DET
ap-760	134	7	above	above	ADJ
ap-760	134	8	listed	list	VERB
ap-760	134	9	theorems	theorem	NOUN
ap-760	134	10	still	still	ADV
ap-760	134	11	hold	hold	VERB
ap-760	134	12	for	for	ADP
ap-760	134	13	bidirectional	bidirectional	ADJ
ap-760	134	14	infinite	infinite	ADJ
ap-760	134	15	words	word	NOUN
ap-760	134	16	.	.	PUNCT
ap-760	135	1	let	let	VERB
ap-760	135	2	us	we	PRON
ap-760	135	3	show	show	VERB
ap-760	135	4	a	a	DET
ap-760	135	5	way	way	NOUN
ap-760	135	6	of	of	ADP
ap-760	135	7	generating	generate	VERB
ap-760	135	8	bidirectional	bidirectional	ADJ
ap-760	135	9	infinite	infinite	ADJ
ap-760	135	10	words	word	NOUN
ap-760	135	11	from	from	ADP
ap-760	135	12	which	which	PRON
ap-760	135	13	it	it	PRON
ap-760	135	14	will	will	AUX
ap-760	135	15	be	be	AUX
ap-760	135	16	clear	clear	ADJ
ap-760	135	17	that	that	SCONJ
ap-760	135	18	such	such	DET
ap-760	135	19	a	a	DET
ap-760	135	20	generalization	generalization	NOUN
ap-760	135	21	is	be	AUX
ap-760	135	22	possible	possible	ADJ
ap-760	135	23	.	.	PUNCT
ap-760	136	1	consider	consider	VERB
ap-760	136	2	�	�	PROPN
ap-760	136	3	,	,	PUNCT
ap-760	136	4	�	�	PROPN
ap-760	136	5	fixed	fix	VERB
ap-760	136	6	positive	positive	ADJ
ap-760	136	7	irrational	irrational	ADJ
ap-760	136	8	numbers	number	NOUN
ap-760	136	9	,	,	PUNCT
ap-760	136	10	�	�	PROPN
ap-760	136	11	�	�	PROPN
ap-760	136	12	�	�	PROPN
ap-760	136	13	�	�	PROPN
ap-760	136	14	,	,	PUNCT
ap-760	136	15	�	�	PROPN
ap-760	136	16	�	�	PROPN
ap-760	136	17	[	[	PUNCT
ap-760	136	18	,	,	PUNCT
ap-760	136	19	)	)	PUNCT
ap-760	136	20	0	0	NUM
ap-760	136	21	1	1	NUM
ap-760	136	22	and	and	CCONJ
ap-760	136	23	the	the	DET
ap-760	136	24	set	set	PROPN
ap-760	136	25	�	�	PROPN
ap-760	136	26	�	�	PROPN
ap-760	136	27	�	�	PROPN
ap-760	136	28	�	�	PROPN
ap-760	136	29	�	�	PROPN
ap-760	136	30	�	�	PROPN
ap-760	136	31	�	�	PROPN
ap-760	136	32	�	�	PROPN
ap-760	136	33	�	�	PROPN
ap-760	136	34	,	,	PUNCT
ap-760	136	35	(	(	PUNCT
ap-760	136	36	,	,	PUNCT
ap-760	136	37	]	]	X
ap-760	136	38	{	{	PUNCT
ap-760	136	39	|	|	ADV
ap-760	136	40	,	,	PUNCT
ap-760	136	41	,	,	PUNCT
ap-760	136	42	}	}	PUNCT
ap-760	136	43	đ	đ	PROPN
ap-760	136	44	�	�	PROPN
ap-760	136	45	�	�	PROPN
ap-760	136	46	�	�	PROPN
ap-760	136	47	�	�	PROPN
ap-760	136	48	�	�	PROPN
ap-760	136	49	�	�	PROPN
ap-760	136	50	�	�	PROPN
ap-760	136	51	�	�	PROPN
ap-760	136	52	1	1	NUM
ap-760	136	53	1	1	NUM
ap-760	136	54	m	m	NOUN
ap-760	136	55	n	n	ADP
ap-760	136	56	m	m	NOUN
ap-760	136	57	n	n	ADV
ap-760	136	58	m	m	NOUN
ap-760	136	59	n	n	ADJ
ap-760	136	60	z	z	NOUN
ap-760	136	61	.	.	PUNCT
ap-760	137	1	it	it	PRON
ap-760	137	2	follows	follow	VERB
ap-760	137	3	that	that	SCONJ
ap-760	137	4	m	m	PROPN
ap-760	137	5	has	have	VERB
ap-760	137	6	to	to	PART
ap-760	137	7	satisfy	satisfy	VERB
ap-760	137	8	�	�	PROPN
ap-760	137	9	�	�	PROPN
ap-760	137	10	�	�	PROPN
ap-760	137	11	�	�	PROPN
ap-760	137	12	�	�	PROPN
ap-760	137	13	�	�	PROPN
ap-760	137	14	�	�	PROPN
ap-760	137	15	�	�	PROPN
ap-760	137	16	�	�	PROPN
ap-760	137	17	n	n	PROPN
ap-760	137	18	m	m	NOUN
ap-760	137	19	n	n	ADJ
ap-760	137	20	,	,	PUNCT
ap-760	137	21	hence	hence	ADV
ap-760	137	22	�	�	PROPN
ap-760	137	23	m	m	PROPN
ap-760	137	24	n	n	CCONJ
ap-760	137	25	�	�	PROPN
ap-760	137	26	�	�	PROPN
ap-760	137	27	�	�	PROPN
ap-760	137	28	�	�	PROPN
ap-760	137	29	,	,	PUNCT
ap-760	137	30	i.e.	i.e.	X
ap-760	137	31	any	any	DET
ap-760	137	32	element	element	NOUN
ap-760	137	33	of	of	ADP
ap-760	137	34	�	�	PROPN
ap-760	137	35	�	�	PROPN
ap-760	137	36	�	�	PROPN
ap-760	137	37	�	�	PROPN
ap-760	137	38	�	�	PROPN
ap-760	137	39	,	,	PUNCT
ap-760	137	40	(	(	PUNCT
ap-760	137	41	,	,	PUNCT
ap-760	137	42	]	]	X
ap-760	137	43	�	�	X
ap-760	137	44	1	1	NUM
ap-760	137	45	has	have	VERB
ap-760	137	46	the	the	DET
ap-760	137	47	form	form	NOUN
ap-760	137	48	�	�	PROPN
ap-760	137	49	�	�	PROPN
ap-760	137	50	�	�	PROPN
ap-760	137	51	�	�	PROPN
ap-760	137	52	�	�	PROPN
ap-760	137	53	�	�	PROPN
ap-760	137	54	n	n	NUM
ap-760	137	55	n	n	NOUN
ap-760	137	56	,	,	PUNCT
ap-760	137	57	for	for	ADP
ap-760	137	58	some	some	DET
ap-760	137	59	n	n	PRON
ap-760	137	60	z	z	PROPN
ap-760	137	61	�	�	PROPN
ap-760	137	62	.	.	PUNCT
ap-760	138	1	using	use	VERB
ap-760	138	2	this	this	DET
ap-760	138	3	fact	fact	NOUN
ap-760	138	4	we	we	PRON
ap-760	138	5	can	can	AUX
ap-760	138	6	write	write	VERB
ap-760	138	7	�	�	PROPN
ap-760	138	8	�	�	PROPN
ap-760	138	9	�	�	PROPN
ap-760	138	10	�	�	PROPN
ap-760	138	11	�	�	PROPN
ap-760	138	12	�	�	PROPN
ap-760	138	13	�	�	PROPN
ap-760	138	14	�	�	PROPN
ap-760	138	15	�	�	PROPN
ap-760	138	16	�	�	PROPN
ap-760	138	17	,	,	PUNCT
ap-760	138	18	(	(	PUNCT
ap-760	138	19	,	,	PUNCT
ap-760	138	20	]	]	PUNCT
ap-760	138	21	{	{	PUNCT
ap-760	138	22	:	:	PUNCT
ap-760	138	23	}	}	PUNCT
ap-760	138	24	�	�	PROPN
ap-760	138	25	�	�	PROPN
ap-760	138	26	�	�	PROPN
ap-760	138	27	�	�	PROPN
ap-760	138	28	�	�	PROPN
ap-760	138	29	�	�	PROPN
ap-760	138	30	1	1	NUM
ap-760	138	31	x	x	SYM
ap-760	138	32	n	n	ADP
ap-760	138	33	n	n	CCONJ
ap-760	138	34	n	n	NOUN
ap-760	138	35	zn	zn	PROPN
ap-760	138	36	,	,	PUNCT
ap-760	138	37	thus	thus	ADV
ap-760	138	38	the	the	DET
ap-760	138	39	elements	element	NOUN
ap-760	138	40	of	of	ADP
ap-760	138	41	�	�	PROPN
ap-760	138	42	�	�	PROPN
ap-760	138	43	�	�	PROPN
ap-760	138	44	�	�	PROPN
ap-760	138	45	�	�	PROPN
ap-760	138	46	,	,	PUNCT
ap-760	138	47	(	(	PUNCT
ap-760	138	48	,	,	PUNCT
ap-760	138	49	]	]	PUNCT
ap-760	138	50	�	�	SYM
ap-760	138	51	1	1	NUM
ap-760	138	52	form	form	NOUN
ap-760	138	53	an	an	DET
ap-760	138	54	increasing	increase	VERB
ap-760	138	55	sequence	sequence	NOUN
ap-760	138	56	(	(	PUNCT
ap-760	138	57	)	)	PUNCT
ap-760	138	58	xn	xn	PROPN
ap-760	139	1	n	n	PROPN
ap-760	139	2	z	z	PROPN
ap-760	139	3	�	�	PROPN
ap-760	139	4	.	.	PUNCT
ap-760	140	1	we	we	PRON
ap-760	140	2	can	can	AUX
ap-760	140	3	compute	compute	VERB
ap-760	140	4	the	the	DET
ap-760	140	5	lengths	length	NOUN
ap-760	140	6	between	between	ADP
ap-760	140	7	two	two	NUM
ap-760	140	8	consecutive	consecutive	ADJ
ap-760	140	9	points	point	NOUN
ap-760	140	10	of	of	ADP
ap-760	140	11	(	(	PUNCT
ap-760	140	12	)	)	PUNCT
ap-760	140	13	xn	xn	PROPN
ap-760	141	1	n	n	PROPN
ap-760	141	2	z	z	PROPN
ap-760	141	3	�	�	PROPN
ap-760	141	4	as	as	ADP
ap-760	141	5	�	�	PROPN
ap-760	141	6	�	�	PROPN
ap-760	141	7	x	x	PROPN
ap-760	141	8	x	x	PROPN
ap-760	141	9	n	n	CCONJ
ap-760	141	10	nn	nn	PROPN
ap-760	141	11	n	n	CCONJ
ap-760	141	12	�	�	PROPN
ap-760	141	13	�	�	PROPN
ap-760	141	14	�	�	PROPN
ap-760	141	15	�	�	PROPN
ap-760	141	16	�	�	PROPN
ap-760	141	17	�	�	PROPN
ap-760	141	18	�	�	PROPN
ap-760	141	19	�	�	PROPN
ap-760	141	20	1	1	NUM
ap-760	141	21	1	1	NUM
ap-760	141	22	(	(	PUNCT
ap-760	141	23	)	)	PUNCT
ap-760	141	24	�	�	PROPN
ap-760	141	25	�	�	PROPN
ap-760	141	26	�	�	PROPN
ap-760	141	27	�	�	PROPN
ap-760	141	28	�	�	PROPN
ap-760	141	29	.	.	PUNCT
ap-760	142	1	the	the	DET
ap-760	142	2	term	term	NOUN
ap-760	142	3	�	�	PROPN
ap-760	142	4	�	�	PROPN
ap-760	142	5	(	(	PUNCT
ap-760	142	6	)	)	PUNCT
ap-760	142	7	n	n	CCONJ
ap-760	142	8	n	n	CCONJ
ap-760	142	9	�	�	PROPN
ap-760	142	10	�	�	PROPN
ap-760	142	11	�	�	PROPN
ap-760	142	12	�	�	PROPN
ap-760	142	13	1	1	NUM
ap-760	142	14	�	�	PROPN
ap-760	142	15	�	�	PROPN
ap-760	142	16	�	�	PROPN
ap-760	142	17	�	�	PROPN
ap-760	142	18	takes	take	VERB
ap-760	142	19	only	only	ADV
ap-760	142	20	two	two	NUM
ap-760	142	21	values	value	NOUN
ap-760	142	22	0	0	NUM
ap-760	142	23	and	and	CCONJ
ap-760	142	24	1	1	NUM
ap-760	142	25	for	for	ADP
ap-760	142	26	each	each	DET
ap-760	142	27	n	n	PROPN
ap-760	142	28	z	z	PROPN
ap-760	142	29	�	�	PROPN
ap-760	142	30	.	.	PUNCT
ap-760	143	1	thus	thus	ADV
ap-760	143	2	there	there	PRON
ap-760	143	3	are	be	VERB
ap-760	143	4	only	only	ADV
ap-760	143	5	two	two	NUM
ap-760	143	6	distances	distance	NOUN
ap-760	143	7	between	between	ADP
ap-760	143	8	neighbors	neighbor	NOUN
ap-760	143	9	in	in	ADP
ap-760	143	10	�	�	PROPN
ap-760	143	11	�	�	PROPN
ap-760	143	12	�	�	PROPN
ap-760	143	13	�	�	PROPN
ap-760	143	14	�	�	PROPN
ap-760	143	15	,	,	PUNCT
ap-760	143	16	(	(	PUNCT
ap-760	143	17	,	,	PUNCT
ap-760	143	18	]	]	X
ap-760	143	19	�	�	X
ap-760	143	20	1	1	NUM
ap-760	143	21	,	,	PUNCT
ap-760	143	22	namely	namely	ADV
ap-760	143	23	1	1	NUM
ap-760	143	24	�	�	PROPN
ap-760	143	25	�	�	PROPN
ap-760	143	26	and	and	CCONJ
ap-760	143	27	�	�	PROPN
ap-760	143	28	.	.	PUNCT
ap-760	144	1	let	let	VERB
ap-760	144	2	us	we	PRON
ap-760	144	3	define	define	VERB
ap-760	144	4	a	a	DET
ap-760	144	5	sequence	sequence	NOUN
ap-760	144	6	(	(	PUNCT
ap-760	144	7	)	)	PUNCT
ap-760	144	8	wn	wn	PROPN
ap-760	144	9	n	n	PROPN
ap-760	144	10	z	z	PROPN
ap-760	144	11	�	�	PROPN
ap-760	144	12	of	of	ADP
ap-760	144	13	0	0	NUM
ap-760	144	14	’s	’s	NOUN
ap-760	144	15	and	and	CCONJ
ap-760	145	1	1	1	NUM
ap-760	145	2	’s	’s	NOUN
ap-760	145	3	by	by	ADP
ap-760	145	4	w	w	PROPN
ap-760	145	5	x	x	NOUN
ap-760	145	6	x	x	SYM
ap-760	145	7	x	x	SYM
ap-760	145	8	xn	xn	PROPN
ap-760	145	9	n	n	CCONJ
ap-760	145	10	n	n	CCONJ
ap-760	145	11	n	n	CCONJ
ap-760	145	12	n	n	CCONJ
ap-760	145	13	�	�	PROPN
ap-760	145	14	�	�	PROPN
ap-760	145	15	�	�	PROPN
ap-760	145	16	�	�	PROPN
ap-760	145	17	�	�	PROPN
ap-760	145	18	�	�	PROPN
ap-760	145	19	�	�	PROPN
ap-760	145	20	�	�	PROPN
ap-760	145	21	�	�	PROPN
ap-760	145	22	�	�	PROPN
ap-760	145	23	�	�	PROPN
ap-760	145	24	0	0	NUM
ap-760	145	25	1	1	NUM
ap-760	145	26	1	1	NUM
ap-760	145	27	1	1	NUM
ap-760	145	28	1	1	NUM
ap-760	145	29	if	if	SCONJ
ap-760	145	30	if	if	SCONJ
ap-760	145	31	�	�	PROPN
ap-760	145	32	�	�	PROPN
ap-760	145	33	,	,	PUNCT
ap-760	145	34	.	.	PUNCT
ap-760	146	1	the	the	DET
ap-760	146	2	sequence	sequence	NOUN
ap-760	146	3	(	(	PUNCT
ap-760	146	4	)	)	PUNCT
ap-760	146	5	wn	wn	PROPN
ap-760	146	6	n	n	PROPN
ap-760	146	7	z	z	PROPN
ap-760	146	8	�	�	PROPN
ap-760	146	9	is	be	AUX
ap-760	146	10	a	a	DET
ap-760	146	11	pointed	pointed	ADJ
ap-760	146	12	bidirectional	bidirectional	ADJ
ap-760	146	13	infinite	infinite	ADJ
ap-760	146	14	word	word	NOUN
ap-760	146	15	(	(	PUNCT
ap-760	146	16	)	)	PUNCT
ap-760	146	17	|	|	ADV
ap-760	146	18	,	,	PUNCT
ap-760	146	19	w	w	PROPN
ap-760	146	20	w	w	PROPN
ap-760	146	21	w	w	PROPN
ap-760	146	22	w	w	PROPN
ap-760	146	23	w	w	PROPN
ap-760	146	24	wn	wn	PROPN
ap-760	146	25	n	n	PROPN
ap-760	146	26	z	z	PROPN
ap-760	146	27	�	�	PROPN
ap-760	146	28	�	�	PROPN
ap-760	146	29	�	�	PROPN
ap-760	146	30	�	�	PROPN
ap-760	146	31	�	�	PROPN
ap-760	146	32	�	�	PROPN
ap-760	146	33	2	2	NUM
ap-760	146	34	1	1	NUM
ap-760	146	35	0	0	NUM
ap-760	146	36	1	1	NUM
ap-760	146	37	2	2	NUM
ap-760	146	38	where	where	SCONJ
ap-760	146	39	|	|	ADV
ap-760	146	40	denotes	denote	VERB
ap-760	146	41	a	a	DET
ap-760	146	42	delimiter	delimiter	NOUN
ap-760	146	43	.	.	PUNCT
ap-760	147	1	since	since	SCONJ
ap-760	147	2	the	the	DET
ap-760	147	3	distances	distance	NOUN
ap-760	147	4	between	between	ADP
ap-760	147	5	the	the	DET
ap-760	147	6	consecutive	consecutive	ADJ
ap-760	147	7	points	point	NOUN
ap-760	147	8	in	in	ADP
ap-760	147	9	�	�	PROPN
ap-760	147	10	�	�	PROPN
ap-760	147	11	�	�	PROPN
ap-760	147	12	�	�	PROPN
ap-760	147	13	�	�	PROPN
ap-760	147	14	,	,	PUNCT
ap-760	147	15	(	(	PUNCT
ap-760	147	16	,	,	PUNCT
ap-760	147	17	]	]	X
ap-760	147	18	�	�	NOUN
ap-760	147	19	1	1	NUM
ap-760	147	20	are	be	AUX
ap-760	147	21	ordered	order	VERB
ap-760	147	22	as	as	SCONJ
ap-760	147	23	the	the	DET
ap-760	147	24	mechanical	mechanical	ADJ
ap-760	147	25	word	word	NOUN
ap-760	147	26	s	s	PART
ap-760	147	27	�	�	PROPN
ap-760	147	28	�	�	PROPN
ap-760	147	29	,	,	PUNCT
ap-760	147	30	then	then	ADV
ap-760	147	31	w	w	PROPN
ap-760	147	32	(	(	PUNCT
ap-760	147	33	i.e.	i.e.	X
ap-760	147	34	the	the	DET
ap-760	147	35	infinite	infinite	ADJ
ap-760	147	36	word	word	NOUN
ap-760	147	37	to	to	ADP
ap-760	147	38	the	the	DET
ap-760	147	39	right	right	NOUN
ap-760	147	40	from	from	ADP
ap-760	147	41	the	the	DET
ap-760	147	42	delimiter	delimiter	NOUN
ap-760	147	43	)	)	PUNCT
ap-760	147	44	is	be	AUX
ap-760	147	45	the	the	DET
ap-760	147	46	sturmian	sturmian	ADJ
ap-760	147	47	word	word	NOUN
ap-760	147	48	.	.	PUNCT
ap-760	148	1	from	from	ADP
ap-760	148	2	the	the	DET
ap-760	148	3	construction	construction	NOUN
ap-760	148	4	it	it	PRON
ap-760	148	5	is	be	AUX
ap-760	148	6	clear	clear	ADJ
ap-760	148	7	that	that	SCONJ
ap-760	148	8	the	the	DET
ap-760	148	9	language	language	NOUN
ap-760	148	10	of	of	ADP
ap-760	148	11	w	w	PROPN
ap-760	148	12	w	w	PROPN
ap-760	148	13	w0	w0	PROPN
ap-760	148	14	1	1	NUM
ap-760	148	15	2	2	NUM
ap-760	148	16	�	�	NOUN
ap-760	148	17	is	be	AUX
ap-760	148	18	the	the	DET
ap-760	148	19	same	same	ADJ
ap-760	148	20	as	as	ADP
ap-760	148	21	the	the	DET
ap-760	148	22	language	language	NOUN
ap-760	148	23	of	of	ADP
ap-760	148	24	�	�	PROPN
ap-760	148	25	w	w	PROPN
ap-760	148	26	w	w	PROPN
ap-760	148	27	�	�	PROPN
ap-760	148	28	�	�	PROPN
ap-760	148	29	2	2	NUM
ap-760	148	30	1	1	NUM
ap-760	148	31	.	.	PUNCT
ap-760	149	1	the	the	DET
ap-760	149	2	complexity	complexity	NOUN
ap-760	149	3	function	function	NOUN
ap-760	149	4	cw	cw	NOUN
ap-760	149	5	has	have	AUX
ap-760	149	6	been	be	AUX
ap-760	149	7	defined	define	VERB
ap-760	149	8	for	for	ADP
ap-760	149	9	the	the	DET
ap-760	149	10	right	right	NOUN
ap-760	149	11	sided	side	VERB
ap-760	149	12	infinite	infinite	ADJ
ap-760	149	13	words	word	NOUN
ap-760	149	14	,	,	PUNCT
ap-760	149	15	however	however	ADV
ap-760	149	16	the	the	DET
ap-760	149	17	definition	definition	NOUN
ap-760	149	18	can	can	AUX
ap-760	149	19	be	be	AUX
ap-760	149	20	naturally	naturally	ADV
ap-760	149	21	extended	extend	VERB
ap-760	149	22	to	to	ADP
ap-760	149	23	left	left	ADJ
ap-760	149	24	sided	side	VERB
ap-760	149	25	infinite	infinite	ADJ
ap-760	149	26	words	word	NOUN
ap-760	149	27	,	,	PUNCT
ap-760	149	28	say	say	VERB
ap-760	150	1	�	�	PROPN
ap-760	150	2	�	�	PROPN
ap-760	150	3	�	�	PROPN
ap-760	150	4	�	�	PROPN
ap-760	150	5	w	w	PROPN
ap-760	150	6	w	w	PROPN
ap-760	150	7	w	w	PROPN
ap-760	150	8	�	�	PROPN
ap-760	150	9	2	2	NUM
ap-760	150	10	1	1	NUM
ap-760	150	11	as	as	ADP
ap-760	150	12	:	:	PUNCT
ap-760	150	13	c	c	NOUN
ap-760	150	14	n	n	PRON
ap-760	150	15	l	l	NOUN
ap-760	150	16	ww	ww	PROPN
ap-760	150	17	n	n	CCONJ
ap-760	150	18	�	�	PROPN
ap-760	150	19	�	�	PROPN
ap-760	150	20	�	�	PROPN
ap-760	150	21	(	(	PUNCT
ap-760	150	22	)	)	PUNCT
ap-760	150	23	#	#	NOUN
ap-760	150	24	(	(	PUNCT
ap-760	150	25	)	)	PUNCT
ap-760	150	26	.	.	PUNCT
ap-760	151	1	since	since	SCONJ
ap-760	151	2	c	c	PROPN
ap-760	151	3	n	n	NUM
ap-760	151	4	l	l	NOUN
ap-760	151	5	w	w	PROPN
ap-760	151	6	l	l	PROPN
ap-760	151	7	w	w	NOUN
ap-760	151	8	c	c	PROPN
ap-760	151	9	nw	nw	PROPN
ap-760	151	10	n	n	PROPN
ap-760	151	11	n	n	PROPN
ap-760	151	12	w	w	PROPN
ap-760	151	13	�	�	PROPN
ap-760	151	14	�	�	PROPN
ap-760	151	15	�	�	PROPN
ap-760	151	16	�	�	PROPN
ap-760	151	17	�	�	PROPN
ap-760	151	18	(	(	PUNCT
ap-760	151	19	)	)	PUNCT
ap-760	151	20	#	#	NOUN
ap-760	151	21	(	(	PUNCT
ap-760	151	22	)	)	PUNCT
ap-760	151	23	#	#	NOUN
ap-760	151	24	(	(	PUNCT
ap-760	151	25	)	)	PUNCT
ap-760	151	26	(	(	PUNCT
ap-760	151	27	)	)	PUNCT
ap-760	151	28	the	the	DET
ap-760	151	29	word	word	NOUN
ap-760	151	30	�	�	PROPN
ap-760	151	31	w	w	PROPN
ap-760	151	32	w	w	PROPN
ap-760	151	33	�	�	PROPN
ap-760	151	34	�	�	PROPN
ap-760	151	35	2	2	NUM
ap-760	151	36	1	1	NUM
ap-760	151	37	is	be	AUX
ap-760	151	38	also	also	ADV
ap-760	151	39	sturmian	sturmian	ADJ
ap-760	151	40	.	.	PUNCT
ap-760	152	1	since	since	SCONJ
ap-760	152	2	an	an	DET
ap-760	152	3	arbitrary	arbitrary	ADJ
ap-760	152	4	shift	shift	NOUN
ap-760	152	5	of	of	ADP
ap-760	152	6	the	the	DET
ap-760	152	7	whole	whole	ADJ
ap-760	152	8	interval	interval	NOUN
ap-760	152	9	(	(	PUNCT
ap-760	152	10	,	,	PUNCT
ap-760	152	11	]	]	PUNCT
ap-760	152	12	�	�	PROPN
ap-760	152	13	�	�	PROPN
ap-760	152	14	�	�	PROPN
ap-760	152	15	1	1	NUM
ap-760	152	16	(	(	PUNCT
ap-760	152	17	i.e.	i.e.	X
ap-760	152	18	we	we	PRON
ap-760	152	19	are	be	AUX
ap-760	152	20	keeping	keep	VERB
ap-760	152	21	the	the	DET
ap-760	152	22	unit	unit	NOUN
ap-760	152	23	length	length	NOUN
ap-760	152	24	of	of	ADP
ap-760	152	25	the	the	DET
ap-760	152	26	interval	interval	NOUN
ap-760	152	27	)	)	PUNCT
ap-760	152	28	does	do	AUX
ap-760	152	29	not	not	PART
ap-760	152	30	change	change	VERB
ap-760	152	31	the	the	DET
ap-760	152	32	set	set	VERB
ap-760	152	33	�	�	PROPN
ap-760	152	34	�	�	PROPN
ap-760	152	35	�	�	PROPN
ap-760	152	36	�	�	PROPN
ap-760	152	37	�	�	PROPN
ap-760	152	38	,	,	PUNCT
ap-760	152	39	(	(	PUNCT
ap-760	152	40	,	,	PUNCT
ap-760	152	41	]	]	X
ap-760	152	42	�	�	X
ap-760	152	43	1	1	NUM
ap-760	152	44	,	,	PUNCT
ap-760	152	45	it	it	PRON
ap-760	152	46	just	just	ADV
ap-760	152	47	shifts	shift	VERB
ap-760	152	48	the	the	DET
ap-760	152	49	position	position	NOUN
ap-760	152	50	of	of	ADP
ap-760	152	51	the	the	DET
ap-760	152	52	delimiter	delimiter	NOUN
ap-760	152	53	,	,	PUNCT
ap-760	152	54	we	we	PRON
ap-760	152	55	can	can	AUX
ap-760	152	56	conclude	conclude	VERB
ap-760	152	57	that	that	SCONJ
ap-760	152	58	the	the	DET
ap-760	152	59	word	word	NOUN
ap-760	152	60	(	(	PUNCT
ap-760	152	61	)	)	PUNCT
ap-760	152	62	wn	wn	PROPN
ap-760	152	63	n	n	PROPN
ap-760	152	64	z	z	PROPN
ap-760	152	65	�	�	PROPN
ap-760	152	66	is	be	AUX
ap-760	152	67	the	the	DET
ap-760	152	68	pointed	pointed	ADJ
ap-760	152	69	bidirectional	bidirectional	ADJ
ap-760	152	70	infinite	infinite	ADJ
ap-760	152	71	sturmian	sturmian	NOUN
ap-760	152	72	word	word	NOUN
ap-760	152	73	.	.	PUNCT
ap-760	153	1	from	from	ADP
ap-760	153	2	now	now	ADV
ap-760	153	3	on	on	ADV
ap-760	153	4	we	we	PRON
ap-760	153	5	will	will	AUX
ap-760	153	6	consider	consider	VERB
ap-760	153	7	only	only	ADV
ap-760	153	8	bidirectional	bidirectional	ADJ
ap-760	153	9	infinite	infinite	ADJ
ap-760	153	10	words	word	NOUN
ap-760	153	11	.	.	PUNCT
ap-760	154	1	note	note	VERB
ap-760	154	2	that	that	SCONJ
ap-760	154	3	the	the	DET
ap-760	154	4	set	set	PROPN
ap-760	154	5	�	�	PROPN
ap-760	154	6	�	�	PROPN
ap-760	154	7	�	�	PROPN
ap-760	154	8	�	�	PROPN
ap-760	154	9	�	�	PROPN
ap-760	154	10	,	,	PUNCT
ap-760	154	11	(	(	PUNCT
ap-760	154	12	,	,	PUNCT
ap-760	154	13	]	]	X
ap-760	154	14	�	�	X
ap-760	154	15	1	1	NUM
ap-760	154	16	is	be	AUX
ap-760	154	17	called	call	VERB
ap-760	154	18	the	the	DET
ap-760	154	19	cut	cut	NOUN
ap-760	154	20	-	-	PUNCT
ap-760	154	21	and	and	CCONJ
ap-760	154	22	-	-	PUNCT
ap-760	154	23	project	project	NOUN
ap-760	154	24	set	set	NOUN
ap-760	154	25	and	and	CCONJ
ap-760	154	26	the	the	DET
ap-760	154	27	interval	interval	NOUN
ap-760	154	28	(	(	PUNCT
ap-760	154	29	,	,	PUNCT
ap-760	154	30	]	]	PUNCT
ap-760	154	31	�	�	PROPN
ap-760	154	32	�	�	PROPN
ap-760	154	33	�	�	PROPN
ap-760	154	34	1	1	NUM
ap-760	154	35	is	be	AUX
ap-760	154	36	an	an	DET
ap-760	154	37	acceptance	acceptance	NOUN
ap-760	154	38	window	window	NOUN
ap-760	154	39	.	.	PUNCT
ap-760	155	1	there	there	PRON
ap-760	155	2	are	be	VERB
ap-760	155	3	a	a	DET
ap-760	155	4	couple	couple	NOUN
ap-760	155	5	of	of	ADP
ap-760	155	6	papers	paper	NOUN
ap-760	155	7	dealing	deal	VERB
ap-760	155	8	with	with	ADP
ap-760	155	9	cut	cut	NOUN
ap-760	155	10	-	-	PUNCT
ap-760	155	11	and	and	CCONJ
ap-760	155	12	-	-	PUNCT
ap-760	155	13	project	project	NOUN
ap-760	155	14	sets	set	NOUN
ap-760	155	15	.	.	PUNCT
ap-760	156	1	in	in	ADP
ap-760	156	2	[	[	X
ap-760	156	3	18	18	NUM
ap-760	156	4	]	]	X
ap-760	156	5	it	it	PRON
ap-760	156	6	is	be	AUX
ap-760	156	7	shown	show	VERB
ap-760	156	8	that	that	SCONJ
ap-760	156	9	a	a	DET
ap-760	156	10	cut	cut	VERB
ap-760	156	11	-	-	PUNCT
ap-760	156	12	and	and	CCONJ
ap-760	156	13	-	-	PUNCT
ap-760	156	14	project	project	NOUN
ap-760	156	15	set	set	NOUN
ap-760	156	16	has	have	VERB
ap-760	156	17	either	either	CCONJ
ap-760	156	18	two	two	NUM
ap-760	156	19	or	or	CCONJ
ap-760	156	20	three	three	NUM
ap-760	156	21	distances	distance	NOUN
ap-760	156	22	between	between	ADP
ap-760	156	23	adjacent	adjacent	ADJ
ap-760	156	24	points	point	NOUN
ap-760	156	25	;	;	PUNCT
ap-760	156	26	two	two	NUM
ap-760	156	27	distances	distance	NOUN
ap-760	156	28	correspond	correspond	VERB
ap-760	156	29	to	to	ADP
ap-760	156	30	the	the	DET
ap-760	156	31	case	case	NOUN
ap-760	156	32	of	of	ADP
ap-760	156	33	the	the	DET
ap-760	156	34	unit	unit	NOUN
ap-760	156	35	length	length	NOUN
ap-760	156	36	of	of	ADP
ap-760	156	37	the	the	DET
ap-760	156	38	acceptance	acceptance	NOUN
ap-760	156	39	window	window	NOUN
ap-760	156	40	and	and	CCONJ
ap-760	156	41	the	the	DET
ap-760	156	42	distances	distance	NOUN
ap-760	156	43	form	form	VERB
ap-760	156	44	a	a	DET
ap-760	156	45	sturmian	sturmian	ADJ
ap-760	156	46	word	word	NOUN
ap-760	156	47	.	.	PUNCT
ap-760	157	1	on	on	ADP
ap-760	157	2	the	the	DET
ap-760	157	3	other	other	ADJ
ap-760	157	4	hand	hand	NOUN
ap-760	157	5	,	,	PUNCT
ap-760	157	6	the	the	DET
ap-760	157	7	words	word	NOUN
ap-760	157	8	corresponding	correspond	VERB
ap-760	157	9	to	to	ADP
ap-760	157	10	the	the	DET
ap-760	157	11	cut	cut	VERB
ap-760	157	12	-	-	PUNCT
ap-760	157	13	and	and	CCONJ
ap-760	157	14	-	-	PUNCT
ap-760	157	15	project	project	NOUN
ap-760	157	16	sets	set	NOUN
ap-760	157	17	with	with	ADP
ap-760	157	18	three	three	NUM
ap-760	157	19	distances	distance	NOUN
ap-760	157	20	are	be	AUX
ap-760	157	21	exactly	exactly	ADV
ap-760	157	22	those	those	PRON
ap-760	157	23	which	which	PRON
ap-760	157	24	arise	arise	VERB
ap-760	157	25	from	from	ADP
ap-760	157	26	the	the	DET
ap-760	157	27	coding	coding	NOUN
ap-760	157	28	of	of	ADP
ap-760	157	29	the	the	DET
ap-760	157	30	3	3	NUM
ap-760	157	31	-	-	PUNCT
ap-760	157	32	interval	interval	NOUN
ap-760	157	33	exchange	exchange	NOUN
ap-760	157	34	map	map	NOUN
ap-760	157	35	,	,	PUNCT
ap-760	157	36	and	and	CCONJ
ap-760	157	37	vice	vice	ADV
ap-760	157	38	versa	versa	ADV
ap-760	157	39	.	.	PUNCT
ap-760	158	1	in	in	ADP
ap-760	158	2	[	[	X
ap-760	158	3	19	19	NUM
ap-760	158	4	]	]	PUNCT
ap-760	158	5	,	,	PUNCT
ap-760	158	6	[	[	X
ap-760	158	7	20	20	NUM
ap-760	158	8	]	]	PUNCT
ap-760	158	9	the	the	DET
ap-760	158	10	authors	author	NOUN
ap-760	158	11	study	study	VERB
ap-760	158	12	substitution	substitution	NOUN
ap-760	158	13	properties	property	NOUN
ap-760	158	14	and	and	CCONJ
ap-760	158	15	the	the	DET
ap-760	158	16	substitutivity	substitutivity	NOUN
ap-760	158	17	of	of	ADP
ap-760	158	18	cut	cut	NOUN
ap-760	158	19	-	-	PUNCT
ap-760	158	20	and	and	CCONJ
ap-760	158	21	-	-	PUNCT
ap-760	158	22	project	project	NOUN
ap-760	158	23	sets	set	NOUN
ap-760	158	24	.	.	PUNCT
ap-760	159	1	3	3	NUM
ap-760	159	2	sturmian	sturmian	NOUN
ap-760	159	3	words	word	NOUN
ap-760	159	4	and	and	CCONJ
ap-760	159	5	substitutions	substitution	NOUN
ap-760	159	6	let	let	VERB
ap-760	159	7	us	we	PRON
ap-760	159	8	take	take	VERB
ap-760	159	9	a	a	DET
ap-760	159	10	look	look	NOUN
ap-760	159	11	at	at	ADP
ap-760	159	12	sturmian	sturmian	ADJ
ap-760	159	13	words	word	NOUN
ap-760	159	14	from	from	ADP
ap-760	159	15	a	a	DET
ap-760	159	16	different	different	ADJ
ap-760	159	17	point	point	NOUN
ap-760	159	18	of	of	ADP
ap-760	159	19	view	view	NOUN
ap-760	159	20	.	.	PUNCT
ap-760	160	1	one	one	PRON
ap-760	160	2	can	can	AUX
ap-760	160	3	see	see	VERB
ap-760	160	4	in	in	ADP
ap-760	160	5	example	example	NOUN
ap-760	160	6	2.1	2.1	NUM
ap-760	160	7	that	that	PRON
ap-760	160	8	there	there	PRON
ap-760	160	9	exist	exist	VERB
ap-760	160	10	sturmian	sturmian	ADJ
ap-760	160	11	words	word	NOUN
ap-760	160	12	which	which	PRON
ap-760	160	13	are	be	AUX
ap-760	160	14	generated	generate	VERB
ap-760	160	15	by	by	ADP
ap-760	160	16	certain	certain	ADJ
ap-760	160	17	maps	map	NOUN
ap-760	160	18	(	(	PUNCT
ap-760	160	19	here	here	ADV
ap-760	160	20	we	we	PRON
ap-760	160	21	will	will	AUX
ap-760	160	22	call	call	VERB
ap-760	160	23	them	they	PRON
ap-760	160	24	substitutions	substitution	NOUN
ap-760	160	25	)	)	PUNCT
ap-760	160	26	.	.	PUNCT
ap-760	161	1	in	in	ADP
ap-760	161	2	fact	fact	NOUN
ap-760	161	3	,	,	PUNCT
ap-760	161	4	the	the	DET
ap-760	161	5	mentioned	mention	VERB
ap-760	161	6	fibonacci	fibonacci	NOUN
ap-760	161	7	word	word	NOUN
ap-760	161	8	is	be	AUX
ap-760	161	9	a	a	DET
ap-760	161	10	fixed	fix	VERB
ap-760	161	11	point	point	NOUN
ap-760	161	12	of	of	ADP
ap-760	161	13	the	the	DET
ap-760	161	14	map	map	NOUN
ap-760	161	15	.	.	PUNCT
ap-760	162	1	the	the	DET
ap-760	162	2	question	question	NOUN
ap-760	162	3	is	be	AUX
ap-760	162	4	whether	whether	SCONJ
ap-760	162	5	this	this	PRON
ap-760	162	6	is	be	AUX
ap-760	162	7	a	a	DET
ap-760	162	8	general	general	ADJ
ap-760	162	9	property	property	NOUN
ap-760	162	10	of	of	ADP
ap-760	162	11	all	all	DET
ap-760	162	12	sturmian	sturmian	NOUN
ap-760	162	13	words	word	NOUN
ap-760	162	14	,	,	PUNCT
ap-760	162	15	or	or	CCONJ
ap-760	162	16	whether	whether	SCONJ
ap-760	162	17	there	there	PRON
ap-760	162	18	exists	exist	VERB
ap-760	162	19	a	a	DET
ap-760	162	20	class	class	NOUN
ap-760	162	21	of	of	ADP
ap-760	162	22	sturmian	sturmian	ADJ
ap-760	162	23	words	word	NOUN
ap-760	162	24	invariant	invariant	ADJ
ap-760	162	25	under	under	ADP
ap-760	162	26	substitutions	substitution	NOUN
ap-760	162	27	.	.	PUNCT
ap-760	163	1	let	let	VERB
ap-760	163	2	us	we	PRON
ap-760	163	3	now	now	ADV
ap-760	163	4	state	state	VERB
ap-760	163	5	basic	basic	ADJ
ap-760	163	6	definitions	definition	NOUN
ap-760	164	1	and	and	CCONJ
ap-760	164	2	then	then	ADV
ap-760	164	3	we	we	PRON
ap-760	164	4	give	give	VERB
ap-760	164	5	an	an	DET
ap-760	164	6	overview	overview	NOUN
ap-760	164	7	of	of	ADP
ap-760	164	8	the	the	DET
ap-760	164	9	most	most	ADV
ap-760	164	10	interesting	interesting	ADJ
ap-760	164	11	results	result	NOUN
ap-760	164	12	.	.	PUNCT
ap-760	165	1	a	a	DET
ap-760	165	2	morphism	morphism	NOUN
ap-760	165	3	is	be	AUX
ap-760	165	4	a	a	DET
ap-760	165	5	map	map	NOUN
ap-760	165	6	of	of	ADP
ap-760	165	7	a	a	PRON
ap-760	165	8	*	*	X
ap-760	165	9	into	into	ADP
ap-760	165	10	itself	itself	PRON
ap-760	165	11	satisfying	satisfy	VERB
ap-760	165	12	(	(	PUNCT
ap-760	165	13	)	)	PUNCT
ap-760	165	14	(	(	PUNCT
ap-760	165	15	)	)	PUNCT
ap-760	165	16	(	(	PUNCT
ap-760	165	17	)	)	PUNCT
ap-760	165	18	uv	uv	NOUN
ap-760	165	19	u	u	PROPN
ap-760	165	20	v	v	ADP
ap-760	165	21	�	�	PROPN
ap-760	165	22	for	for	ADP
ap-760	165	23	each	each	DET
ap-760	165	24	u	u	NOUN
ap-760	165	25	v	v	ADP
ap-760	165	26	a	a	DET
ap-760	165	27	,	,	PUNCT
ap-760	165	28	*	*	PUNCT
ap-760	165	29	�	�	PROPN
ap-760	165	30	.	.	PUNCT
ap-760	166	1	the	the	DET
ap-760	166	2	morphism	morphism	NOUN
ap-760	166	3	is	be	AUX
ap-760	166	4	called	call	VERB
ap-760	166	5	non	non	ADJ
ap-760	166	6	-	-	ADJ
ap-760	166	7	erasing	erase	VERB
ap-760	166	8	if	if	SCONJ
ap-760	166	9	(	(	PUNCT
ap-760	166	10	)	)	PUNCT
ap-760	166	11	ai	ai	VERB
ap-760	166	12	is	be	AUX
ap-760	166	13	not	not	PART
ap-760	166	14	an	an	DET
ap-760	166	15	empty	empty	ADJ
ap-760	166	16	word	word	NOUN
ap-760	166	17	for	for	ADP
ap-760	166	18	any	any	DET
ap-760	166	19	a	a	DET
ap-760	166	20	ai	ai	NOUN
ap-760	166	21	�	�	PROPN
ap-760	166	22	.	.	PUNCT
ap-760	167	1	a	a	DET
ap-760	167	2	non	non	ADJ
ap-760	167	3	-	-	ADJ
ap-760	167	4	erasing	erase	VERB
ap-760	167	5	morphism	morphism	NOUN
ap-760	167	6	is	be	AUX
ap-760	167	7	called	call	VERB
ap-760	167	8	a	a	DET
ap-760	167	9	substitution	substitution	NOUN
ap-760	167	10	.	.	PUNCT
ap-760	168	1	©	©	PROPN
ap-760	168	2	czech	czech	PROPN
ap-760	168	3	technical	technical	PROPN
ap-760	168	4	university	university	PROPN
ap-760	168	5	publishing	publishing	NOUN
ap-760	168	6	house	house	NOUN
ap-760	168	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-760	168	8	21	21	NUM
ap-760	168	9	czech	czech	PROPN
ap-760	168	10	technical	technical	PROPN
ap-760	168	11	university	university	PROPN
ap-760	168	12	in	in	ADP
ap-760	168	13	prague	prague	PROPN
ap-760	168	14	acta	acta	PROPN
ap-760	168	15	polytechnica	polytechnica	PROPN
ap-760	168	16	vol	vol	NOUN
ap-760	168	17	.	.	PROPN
ap-760	169	1	45	45	NUM
ap-760	169	2	no	no	NOUN
ap-760	169	3	.	.	PUNCT
ap-760	170	1	5/2005	5/2005	NUM
ap-760	170	2	the	the	DET
ap-760	170	3	action	action	NOUN
ap-760	170	4	of	of	ADP
ap-760	170	5	can	can	AUX
ap-760	170	6	be	be	AUX
ap-760	170	7	extended	extend	VERB
ap-760	170	8	to	to	ADP
ap-760	170	9	bidirectional	bidirectional	ADJ
ap-760	170	10	infinite	infinite	ADJ
ap-760	170	11	words	word	NOUN
ap-760	170	12	(	(	PUNCT
ap-760	170	13	)	)	PUNCT
ap-760	170	14	|w	|w	PROPN
ap-760	170	15	w	w	PROPN
ap-760	170	16	w	w	PROPN
ap-760	170	17	w	w	PROPN
ap-760	170	18	w	w	PROPN
ap-760	170	19	wn	wn	PROPN
ap-760	170	20	n	n	PROPN
ap-760	170	21	z	z	PROPN
ap-760	170	22	�	�	PROPN
ap-760	170	23	�	�	PROPN
ap-760	170	24	�	�	PROPN
ap-760	170	25	�	�	PROPN
ap-760	170	26	�	�	PROPN
ap-760	170	27	�	�	PROPN
ap-760	170	28	2	2	NUM
ap-760	170	29	1	1	NUM
ap-760	170	30	0	0	NUM
ap-760	170	31	1	1	NUM
ap-760	170	32	2	2	NUM
ap-760	170	33	by	by	ADP
ap-760	170	34	�	�	PROPN
ap-760	170	35	�	�	PROPN
ap-760	170	36	(	(	PUNCT
ap-760	170	37	)	)	PUNCT
ap-760	170	38	(	(	PUNCT
ap-760	170	39	)	)	PUNCT
ap-760	170	40	|	|	ADV
ap-760	170	41	(	(	PUNCT
ap-760	170	42	)	)	PUNCT
ap-760	170	43	(	(	PUNCT
ap-760	170	44	)	)	PUNCT
ap-760	170	45	(	(	PUNCT
ap-760	170	46	)	)	PUNCT
ap-760	171	1	w	w	PROPN
ap-760	171	2	w	w	PROPN
ap-760	171	3	w	w	PROPN
ap-760	171	4	w	w	PROPN
ap-760	171	5	w	w	PROPN
ap-760	171	6	�	�	PROPN
ap-760	171	7	�	�	PROPN
ap-760	171	8	2	2	NUM
ap-760	171	9	1	1	NUM
ap-760	171	10	0	0	NUM
ap-760	171	11	1	1	NUM
ap-760	171	12	2	2	NUM
ap-760	171	13	we	we	PRON
ap-760	171	14	say	say	VERB
ap-760	171	15	that	that	SCONJ
ap-760	171	16	the	the	DET
ap-760	171	17	word	word	NOUN
ap-760	171	18	(	(	PUNCT
ap-760	171	19	)	)	PUNCT
ap-760	171	20	wn	wn	PROPN
ap-760	171	21	n	n	PROPN
ap-760	171	22	z	z	PROPN
ap-760	171	23	�	�	PROPN
ap-760	171	24	is	be	AUX
ap-760	171	25	invariant	invariant	ADJ
ap-760	171	26	under	under	ADP
ap-760	171	27	the	the	DET
ap-760	171	28	substitution	substitution	NOUN
ap-760	171	29	(	(	PUNCT
ap-760	171	30	or	or	CCONJ
ap-760	171	31	is	be	AUX
ap-760	171	32	a	a	DET
ap-760	171	33	fixed	fix	VERB
ap-760	171	34	point	point	NOUN
ap-760	171	35	of	of	ADP
ap-760	171	36	)	)	PUNCT
ap-760	171	37	if	if	SCONJ
ap-760	171	38	�	�	PROPN
ap-760	171	39	�	�	PROPN
ap-760	171	40	�	�	PROPN
ap-760	171	41	�	�	PROPN
ap-760	171	42	(	(	PUNCT
ap-760	171	43	)	)	PUNCT
ap-760	171	44	(	(	PUNCT
ap-760	171	45	)	)	PUNCT
ap-760	171	46	|	|	ADV
ap-760	171	47	(	(	PUNCT
ap-760	171	48	)	)	PUNCT
ap-760	171	49	(	(	PUNCT
ap-760	172	1	)	)	PUNCT
ap-760	172	2	(	(	PUNCT
ap-760	172	3	)	)	PUNCT
ap-760	172	4	|w	|w	PROPN
ap-760	172	5	w	w	PROPN
ap-760	172	6	w	w	PROPN
ap-760	172	7	w	w	PROPN
ap-760	172	8	w	w	PROPN
ap-760	172	9	w	w	PROPN
ap-760	172	10	w	w	PROPN
ap-760	172	11	w	w	PROPN
ap-760	172	12	w	w	PROPN
ap-760	172	13	w	w	PROPN
ap-760	172	14	�	�	PROPN
ap-760	172	15	�	�	PROPN
ap-760	172	16	�	�	PROPN
ap-760	172	17	�	�	PROPN
ap-760	172	18	�	�	PROPN
ap-760	172	19	2	2	NUM
ap-760	172	20	1	1	NUM
ap-760	172	21	0	0	NUM
ap-760	172	22	1	1	NUM
ap-760	172	23	2	2	NUM
ap-760	172	24	2	2	NUM
ap-760	172	25	1	1	NUM
ap-760	172	26	0	0	NUM
ap-760	172	27	1	1	NUM
ap-760	172	28	2	2	NUM
ap-760	172	29	suppose	suppose	VERB
ap-760	172	30	that	that	SCONJ
ap-760	172	31	we	we	PRON
ap-760	172	32	have	have	VERB
ap-760	172	33	a	a	DET
ap-760	172	34	substitution	substitution	NOUN
ap-760	172	35	and	and	CCONJ
ap-760	172	36	there	there	PRON
ap-760	172	37	exist	exist	VERB
ap-760	172	38	letters	letter	NOUN
ap-760	172	39	a	a	DET
ap-760	172	40	a	a	PRON
ap-760	172	41	ai	ai	NOUN
ap-760	172	42	j	j	PROPN
ap-760	172	43	,	,	PUNCT
ap-760	172	44	�	�	PROPN
ap-760	172	45	,	,	PUNCT
ap-760	172	46	such	such	ADJ
ap-760	172	47	that	that	SCONJ
ap-760	172	48	(	(	PUNCT
ap-760	172	49	)	)	PUNCT
ap-760	172	50	a	a	DET
ap-760	172	51	uai	uai	PROPN
ap-760	172	52	i	i	PRON
ap-760	172	53	�	�	PROPN
ap-760	172	54	and	and	CCONJ
ap-760	172	55	(	(	PUNCT
ap-760	172	56	)	)	PUNCT
ap-760	172	57	a	a	DET
ap-760	172	58	a	a	PROPN
ap-760	172	59	vj	vj	X
ap-760	172	60	j	j	PROPN
ap-760	172	61	�	�	PROPN
ap-760	172	62	for	for	ADP
ap-760	172	63	some	some	DET
ap-760	172	64	non	non	ADJ
ap-760	172	65	-	-	ADJ
ap-760	172	66	empty	empty	ADJ
ap-760	172	67	words	word	NOUN
ap-760	172	68	u	u	PROPN
ap-760	172	69	v	v	ADP
ap-760	172	70	a	a	DET
ap-760	172	71	,	,	PUNCT
ap-760	172	72	*	*	PUNCT
ap-760	172	73	�	�	PROPN
ap-760	172	74	.	.	PUNCT
ap-760	173	1	then	then	ADV
ap-760	173	2	by	by	ADP
ap-760	173	3	repeated	repeat	VERB
ap-760	173	4	application	application	NOUN
ap-760	173	5	of	of	ADP
ap-760	173	6	on	on	ADP
ap-760	173	7	the	the	DET
ap-760	173	8	pair	pair	NOUN
ap-760	173	9	a	a	DET
ap-760	173	10	ai	ai	NOUN
ap-760	173	11	j|	j|	PROPN
ap-760	173	12	of	of	ADP
ap-760	173	13	letters	letter	NOUN
ap-760	173	14	separated	separate	VERB
ap-760	173	15	by	by	ADP
ap-760	173	16	the	the	DET
ap-760	173	17	delimiter	delimiter	NOUN
ap-760	173	18	|	|	ADV
ap-760	173	19	we	we	PRON
ap-760	173	20	obtain	obtain	VERB
ap-760	173	21	words	word	NOUN
ap-760	173	22	(	(	PUNCT
ap-760	173	23	)	)	PUNCT
ap-760	173	24	(	(	PUNCT
ap-760	173	25	)	)	PUNCT
ap-760	173	26	(	(	PUNCT
ap-760	173	27	)	)	PUNCT
ap-760	173	28	|	|	ADV
ap-760	173	29	(	(	PUNCT
ap-760	173	30	)	)	PUNCT
ap-760	173	31	n	n	CCONJ
ap-760	174	1	i	i	PRON
ap-760	174	2	n	n	VERB
ap-760	174	3	ja	ja	VERB
ap-760	174	4	a	a	PRON
ap-760	174	5	,	,	PUNCT
ap-760	174	6	n	n	CCONJ
ap-760	174	7	n	n	CCONJ
ap-760	174	8	�	�	PROPN
ap-760	174	9	of	of	ADP
ap-760	174	10	increasing	increase	VERB
ap-760	174	11	length	length	NOUN
ap-760	174	12	.	.	PUNCT
ap-760	175	1	clearly	clearly	ADV
ap-760	175	2	(	(	PUNCT
ap-760	175	3	)	)	PUNCT
ap-760	175	4	(	(	PUNCT
ap-760	175	5	)	)	PUNCT
ap-760	175	6	(	(	PUNCT
ap-760	175	7	)	)	PUNCT
ap-760	175	8	(	(	PUNCT
ap-760	175	9	)	)	PUNCT
ap-760	175	10	(	(	PUNCT
ap-760	175	11	)	)	PUNCT
ap-760	175	12	|	|	ADV
ap-760	175	13	(	(	PUNCT
ap-760	175	14	)	)	PUNCT
ap-760	175	15	(	(	PUNCT
ap-760	175	16	)	)	PUNCT
ap-760	175	17	|	|	ADV
ap-760	175	18	(	(	PUNCT
ap-760	175	19	)	)	PUNCT
ap-760	175	20	n	n	CCONJ
ap-760	175	21	i	i	PRON
ap-760	175	22	n	n	VERB
ap-760	175	23	j	j	PROPN
ap-760	175	24	n	n	CCONJ
ap-760	175	25	n	n	PROPN
ap-760	175	26	i	i	PRON
ap-760	175	27	n	n	ADV
ap-760	175	28	j	j	PROPN
ap-760	175	29	na	na	ADP
ap-760	175	30	a	a	DET
ap-760	175	31	u	u	NOUN
ap-760	175	32	a	a	DET
ap-760	175	33	a	a	DET
ap-760	175	34	v	v	PROPN
ap-760	175	35	�	�	PROPN
ap-760	175	36	�	�	PROPN
ap-760	175	37	�	�	PROPN
ap-760	175	38	1	1	NUM
ap-760	175	39	1	1	NUM
ap-760	175	40	,	,	PUNCT
ap-760	175	41	for	for	ADP
ap-760	175	42	certain	certain	ADJ
ap-760	175	43	words	word	NOUN
ap-760	175	44	u	u	PROPN
ap-760	175	45	v	v	ADP
ap-760	175	46	an	an	DET
ap-760	175	47	n	n	NOUN
ap-760	175	48	,	,	PUNCT
ap-760	175	49	*	*	PUNCT
ap-760	175	50	�	�	PROPN
ap-760	175	51	.	.	PUNCT
ap-760	176	1	the	the	DET
ap-760	176	2	limit	limit	NOUN
ap-760	176	3	of	of	ADP
ap-760	176	4	(	(	PUNCT
ap-760	176	5	)	)	PUNCT
ap-760	176	6	(	(	PUNCT
ap-760	176	7	)	)	PUNCT
ap-760	176	8	(	(	PUNCT
ap-760	176	9	)	)	PUNCT
ap-760	176	10	|	|	ADV
ap-760	176	11	(	(	PUNCT
ap-760	176	12	)	)	PUNCT
ap-760	176	13	n	n	CCONJ
ap-760	176	14	i	i	PRON
ap-760	176	15	n	n	VERB
ap-760	176	16	ja	ja	VERB
ap-760	176	17	a	a	PRON
ap-760	176	18	for	for	ADP
ap-760	176	19	n	n	PRON
ap-760	176	20	�	�	PROPN
ap-760	176	21	�	�	PROPN
ap-760	176	22	is	be	AUX
ap-760	176	23	an	an	DET
ap-760	176	24	infinite	infinite	ADJ
ap-760	176	25	bidirectional	bidirectional	ADJ
ap-760	176	26	word	word	NOUN
ap-760	176	27	(	(	PUNCT
ap-760	176	28	)	)	PUNCT
ap-760	176	29	wn	wn	PROPN
ap-760	176	30	n	n	PROPN
ap-760	176	31	z	z	PROPN
ap-760	176	32	�	�	PROPN
ap-760	177	1	and	and	CCONJ
ap-760	177	2	we	we	PRON
ap-760	177	3	say	say	VERB
ap-760	177	4	that	that	PRON
ap-760	177	5	generates	generate	VERB
ap-760	177	6	the	the	DET
ap-760	177	7	word	word	NOUN
ap-760	177	8	(	(	PUNCT
ap-760	177	9	)	)	PUNCT
ap-760	177	10	wn	wn	PROPN
ap-760	177	11	n	n	PROPN
ap-760	177	12	z	z	PROPN
ap-760	177	13	�	�	PROPN
ap-760	177	14	.	.	PUNCT
ap-760	178	1	let	let	VERB
ap-760	178	2	us	we	PRON
ap-760	178	3	define	define	VERB
ap-760	178	4	a	a	DET
ap-760	178	5	weaker	weak	ADJ
ap-760	178	6	notion	notion	NOUN
ap-760	178	7	of	of	ADP
ap-760	178	8	a	a	DET
ap-760	178	9	substitutive	substitutive	ADJ
ap-760	178	10	word	word	NOUN
ap-760	178	11	.	.	PUNCT
ap-760	179	1	we	we	PRON
ap-760	179	2	say	say	VERB
ap-760	179	3	that	that	PRON
ap-760	179	4	(	(	PUNCT
ap-760	179	5	)	)	PUNCT
ap-760	179	6	|w	|w	PROPN
ap-760	179	7	w	w	PROPN
ap-760	179	8	w	w	PROPN
ap-760	179	9	w	w	PROPN
ap-760	179	10	w	w	PROPN
ap-760	179	11	wn	wn	PROPN
ap-760	179	12	n	n	PROPN
ap-760	179	13	z	z	PROPN
ap-760	179	14	�	�	PROPN
ap-760	179	15	�	�	PROPN
ap-760	179	16	�	�	PROPN
ap-760	179	17	�	�	PROPN
ap-760	179	18	�	�	PROPN
ap-760	179	19	�	�	PROPN
ap-760	179	20	2	2	NUM
ap-760	179	21	1	1	NUM
ap-760	179	22	0	0	NUM
ap-760	179	23	1	1	NUM
ap-760	179	24	2	2	NUM
ap-760	179	25	is	be	AUX
ap-760	179	26	a	a	DET
ap-760	179	27	substitutive	substitutive	ADJ
ap-760	179	28	word	word	NOUN
ap-760	179	29	,	,	PUNCT
ap-760	179	30	if	if	SCONJ
ap-760	179	31	there	there	PRON
ap-760	179	32	exists	exist	VERB
ap-760	179	33	a	a	DET
ap-760	179	34	substitution	substitution	NOUN
ap-760	179	35	on	on	ADP
ap-760	179	36	an	an	DET
ap-760	179	37	alphabet	alphabet	NOUN
ap-760	179	38	b	b	PROPN
ap-760	179	39	with	with	ADP
ap-760	179	40	a	a	DET
ap-760	179	41	fixed	fix	VERB
ap-760	179	42	point	point	NOUN
ap-760	179	43	(	(	PUNCT
ap-760	179	44	)	)	PUNCT
ap-760	179	45	|v	|v	PROPN
ap-760	179	46	v	v	ADP
ap-760	179	47	v	v	NUM
ap-760	179	48	v	v	NUM
ap-760	179	49	v	v	ADP
ap-760	179	50	vn	vn	PROPN
ap-760	179	51	n	n	CCONJ
ap-760	179	52	z	z	PROPN
ap-760	179	53	�	�	PROPN
ap-760	179	54	�	�	PROPN
ap-760	179	55	�	�	PROPN
ap-760	179	56	�	�	PROPN
ap-760	179	57	�	�	PROPN
ap-760	179	58	�	�	PROPN
ap-760	179	59	2	2	NUM
ap-760	179	60	1	1	NUM
ap-760	179	61	0	0	NUM
ap-760	179	62	1	1	NUM
ap-760	179	63	2	2	NUM
ap-760	179	64	and	and	CCONJ
ap-760	179	65	a	a	DET
ap-760	179	66	map	map	NOUN
ap-760	179	67	�	�	NOUN
ap-760	179	68	:	:	PUNCT
ap-760	179	69	b	b	X
ap-760	179	70	a	a	DET
ap-760	179	71	�	�	NOUN
ap-760	179	72	such	such	ADJ
ap-760	179	73	that	that	SCONJ
ap-760	179	74	w	w	PROPN
ap-760	179	75	vn	vn	PROPN
ap-760	179	76	n	n	CCONJ
ap-760	179	77	�	�	PROPN
ap-760	179	78	�	�	PROPN
ap-760	179	79	(	(	PUNCT
ap-760	179	80	)	)	PUNCT
ap-760	179	81	,	,	PUNCT
ap-760	179	82	for	for	ADP
ap-760	179	83	each	each	DET
ap-760	179	84	n	n	PROPN
ap-760	179	85	z	z	PROPN
ap-760	179	86	�	�	PROPN
ap-760	179	87	.	.	PUNCT
ap-760	180	1	note	note	VERB
ap-760	180	2	that	that	SCONJ
ap-760	180	3	all	all	DET
ap-760	180	4	fixed	fix	VERB
ap-760	180	5	points	point	NOUN
ap-760	180	6	of	of	ADP
ap-760	180	7	a	a	DET
ap-760	180	8	substitution	substitution	NOUN
ap-760	180	9	are	be	AUX
ap-760	180	10	substitutive	substitutive	ADJ
ap-760	180	11	.	.	PUNCT
ap-760	181	1	the	the	DET
ap-760	181	2	opposite	opposite	NOUN
ap-760	181	3	is	be	AUX
ap-760	181	4	not	not	PART
ap-760	181	5	true	true	ADJ
ap-760	181	6	.	.	PUNCT
ap-760	182	1	let	let	VERB
ap-760	182	2	a	a	DET
ap-760	182	3	a	a	DET
ap-760	182	4	ak	ak	PROPN
ap-760	182	5	�	�	PROPN
ap-760	182	6	{	{	PUNCT
ap-760	182	7	,	,	PUNCT
ap-760	182	8	,	,	PUNCT
ap-760	182	9	}	}	PUNCT
ap-760	182	10	1	1	NUM
ap-760	182	11	�	�	NOUN
ap-760	182	12	be	be	AUX
ap-760	182	13	an	an	DET
ap-760	182	14	alphabet	alphabet	NOUN
ap-760	182	15	.	.	PUNCT
ap-760	183	1	to	to	ADP
ap-760	183	2	a	a	DET
ap-760	183	3	substitution	substitution	NOUN
ap-760	183	4	one	one	NOUN
ap-760	183	5	may	may	AUX
ap-760	183	6	assign	assign	VERB
ap-760	183	7	a	a	DET
ap-760	183	8	substitution	substitution	NOUN
ap-760	183	9	matrix	matrix	NOUN
ap-760	183	10	a	a	DET
ap-760	183	11	�	�	PROPN
ap-760	183	12	�	�	PROPN
ap-760	183	13	nk	nk	PROPN
ap-760	183	14	k	k	PROPN
ap-760	183	15	in	in	ADP
ap-760	183	16	the	the	DET
ap-760	183	17	following	following	ADJ
ap-760	183	18	way	way	NOUN
ap-760	183	19	:	:	PUNCT
ap-760	183	20	a	a	DET
ap-760	183	21	ij	ij	X
ap-760	183	22	j	j	PROPN
ap-760	183	23	ia	ia	PROPN
ap-760	183	24	a	a	X
ap-760	183	25	:	:	PUNCT
ap-760	183	26	(	(	PUNCT
ap-760	183	27	)	)	PUNCT
ap-760	183	28	�	�	PROPN
ap-760	183	29	number	number	NOUN
ap-760	183	30	of	of	ADP
ap-760	183	31	letters	letter	NOUN
ap-760	183	32	in	in	ADP
ap-760	183	33	the	the	DET
ap-760	183	34	word	word	NOUN
ap-760	183	35	.	.	PUNCT
ap-760	184	1	the	the	DET
ap-760	184	2	problem	problem	NOUN
ap-760	184	3	of	of	ADP
ap-760	184	4	invariance	invariance	NOUN
ap-760	184	5	under	under	ADP
ap-760	184	6	a	a	DET
ap-760	184	7	substitution	substitution	NOUN
ap-760	184	8	(	(	PUNCT
ap-760	184	9	or	or	CCONJ
ap-760	184	10	the	the	DET
ap-760	184	11	weaker	weak	ADJ
ap-760	184	12	notion	notion	NOUN
ap-760	184	13	of	of	ADP
ap-760	184	14	substitutivity	substitutivity	NOUN
ap-760	184	15	)	)	PUNCT
ap-760	184	16	has	have	AUX
ap-760	184	17	motivated	motivate	VERB
ap-760	184	18	many	many	ADJ
ap-760	184	19	papers	paper	NOUN
ap-760	184	20	.	.	PUNCT
ap-760	185	1	there	there	PRON
ap-760	185	2	are	be	VERB
ap-760	185	3	some	some	DET
ap-760	185	4	partial	partial	ADJ
ap-760	185	5	results	result	NOUN
ap-760	185	6	,	,	PUNCT
ap-760	185	7	where	where	SCONJ
ap-760	185	8	authors	author	NOUN
ap-760	185	9	consider	consider	VERB
ap-760	185	10	only	only	ADV
ap-760	185	11	one	one	NUM
ap-760	185	12	sided	side	VERB
ap-760	185	13	sturmian	sturmian	ADJ
ap-760	185	14	words	word	NOUN
ap-760	185	15	or	or	CCONJ
ap-760	185	16	characterize	characterize	VERB
ap-760	185	17	substitution	substitution	NOUN
ap-760	185	18	invariant	invariant	ADJ
ap-760	185	19	bidirectional	bidirectional	ADJ
ap-760	185	20	sturmian	sturmian	NOUN
ap-760	185	21	words	word	NOUN
ap-760	185	22	depending	depend	VERB
ap-760	185	23	on	on	ADP
ap-760	185	24	the	the	DET
ap-760	185	25	slope	slope	NOUN
ap-760	185	26	�	�	PROPN
ap-760	185	27	if	if	SCONJ
ap-760	185	28	the	the	DET
ap-760	185	29	intercept	intercept	NOUN
ap-760	185	30	�	�	PROPN
ap-760	185	31	�	�	PROPN
ap-760	185	32	0	0	NUM
ap-760	185	33	.	.	PUNCT
ap-760	186	1	crisp	crisp	ADJ
ap-760	186	2	et	et	PROPN
ap-760	186	3	al	al	PROPN
ap-760	186	4	.	.	PUNCT
ap-760	187	1	[	[	X
ap-760	187	2	10	10	NUM
ap-760	187	3	]	]	PUNCT
ap-760	187	4	carried	carry	VERB
ap-760	187	5	on	on	ADP
ap-760	187	6	the	the	DET
ap-760	187	7	work	work	NOUN
ap-760	187	8	of	of	ADP
ap-760	187	9	brown	brown	NOUN
ap-760	188	1	[	[	X
ap-760	188	2	21	21	NUM
ap-760	188	3	]	]	PUNCT
ap-760	188	4	and	and	CCONJ
ap-760	188	5	studied	study	VERB
ap-760	188	6	substitution	substitution	NOUN
ap-760	188	7	invariant	invariant	ADJ
ap-760	188	8	cutting	cut	VERB
ap-760	188	9	sequences	sequence	NOUN
ap-760	188	10	.	.	PUNCT
ap-760	189	1	they	they	PRON
ap-760	189	2	proved	prove	VERB
ap-760	189	3	that	that	SCONJ
ap-760	189	4	the	the	DET
ap-760	189	5	cutting	cut	VERB
ap-760	189	6	sequence	sequence	NOUN
ap-760	189	7	s	s	PART
ap-760	189	8	�	�	PROPN
ap-760	189	9	(	(	PUNCT
ap-760	189	10	resp	resp	NOUN
ap-760	189	11	.	.	PUNCT
ap-760	190	1	the	the	DET
ap-760	190	2	mechanical	mechanical	ADJ
ap-760	190	3	sequence	sequence	NOUN
ap-760	190	4	c	c	PROPN
ap-760	190	5	�	�	PROPN
ap-760	190	6	is	be	AUX
ap-760	190	7	substitution	substitution	NOUN
ap-760	190	8	invariant	invariant	ADJ
ap-760	190	9	if	if	SCONJ
ap-760	190	10	and	and	CCONJ
ap-760	190	11	only	only	ADV
ap-760	190	12	if	if	SCONJ
ap-760	190	13	the	the	DET
ap-760	190	14	continuous	continuous	ADJ
ap-760	190	15	fraction	fraction	NOUN
ap-760	190	16	expansion	expansion	NOUN
ap-760	190	17	of	of	ADP
ap-760	190	18	�	�	PROPN
ap-760	190	19	(	(	PUNCT
ap-760	190	20	resp	resp	NOUN
ap-760	190	21	.	.	PUNCT
ap-760	190	22	�	�	PROPN
ap-760	190	23	)	)	PUNCT
ap-760	190	24	has	have	VERB
ap-760	190	25	a	a	DET
ap-760	190	26	certain	certain	ADJ
ap-760	190	27	form	form	NOUN
ap-760	190	28	.	.	PUNCT
ap-760	191	1	the	the	DET
ap-760	191	2	author	author	NOUN
ap-760	191	3	in	in	ADP
ap-760	191	4	[	[	X
ap-760	191	5	22	22	NUM
ap-760	191	6	]	]	PUNCT
ap-760	191	7	used	use	VERB
ap-760	191	8	some	some	PRON
ap-760	191	9	of	of	ADP
ap-760	191	10	their	their	PRON
ap-760	191	11	results	result	NOUN
ap-760	191	12	and	and	CCONJ
ap-760	191	13	simplified	simplify	VERB
ap-760	191	14	their	their	PRON
ap-760	191	15	condition	condition	NOUN
ap-760	191	16	on	on	ADP
ap-760	191	17	the	the	DET
ap-760	191	18	invariance	invariance	NOUN
ap-760	191	19	of	of	ADP
ap-760	191	20	the	the	DET
ap-760	191	21	characteristic	characteristic	ADJ
ap-760	191	22	sequence	sequence	NOUN
ap-760	191	23	c	c	X
ap-760	191	24	�	�	PROPN
ap-760	191	25	under	under	ADP
ap-760	191	26	a	a	DET
ap-760	191	27	substitution	substitution	NOUN
ap-760	191	28	.	.	PUNCT
ap-760	192	1	he	he	PRON
ap-760	192	2	showed	show	VERB
ap-760	192	3	that	that	SCONJ
ap-760	192	4	c	c	PROPN
ap-760	192	5	�	�	PROPN
ap-760	192	6	,	,	PUNCT
ap-760	192	7	�	�	PROPN
ap-760	192	8	�	�	PROPN
ap-760	192	9	(	(	PUNCT
ap-760	192	10	,	,	PUNCT
ap-760	192	11	)	)	PUNCT
ap-760	192	12	0	0	NUM
ap-760	192	13	1	1	NUM
ap-760	192	14	,	,	PUNCT
ap-760	192	15	is	be	AUX
ap-760	192	16	invariant	invariant	ADJ
ap-760	192	17	under	under	ADP
ap-760	192	18	a	a	DET
ap-760	192	19	substitution	substitution	NOUN
ap-760	192	20	if	if	SCONJ
ap-760	192	21	and	and	CCONJ
ap-760	192	22	only	only	ADV
ap-760	192	23	if	if	SCONJ
ap-760	192	24	�	�	PROPN
ap-760	192	25	is	be	AUX
ap-760	192	26	a	a	DET
ap-760	192	27	quadratic	quadratic	ADJ
ap-760	192	28	irrational	irrational	ADJ
ap-760	192	29	with	with	ADP
ap-760	192	30	conjugate	conjugate	ADJ
ap-760	192	31	�	�	PROPN
ap-760	192	32	�	�	PROPN
ap-760	192	33	(	(	PUNCT
ap-760	192	34	,	,	PUNCT
ap-760	192	35	)	)	PUNCT
ap-760	192	36	0	0	NUM
ap-760	192	37	1	1	NUM
ap-760	192	38	.	.	PUNCT
ap-760	193	1	such	such	ADJ
ap-760	193	2	�	�	PROPN
ap-760	193	3	is	be	AUX
ap-760	193	4	called	call	VERB
ap-760	193	5	a	a	DET
ap-760	193	6	sturm	sturm	PROPN
ap-760	193	7	number	number	NOUN
ap-760	193	8	.	.	PUNCT
ap-760	194	1	this	this	DET
ap-760	194	2	result	result	NOUN
ap-760	194	3	was	be	AUX
ap-760	194	4	shown	show	VERB
ap-760	194	5	independently	independently	ADV
ap-760	194	6	by	by	ADP
ap-760	194	7	allauzen	allauzen	NOUN
ap-760	194	8	,	,	PUNCT
ap-760	194	9	[	[	X
ap-760	194	10	23	23	NUM
ap-760	194	11	]	]	PUNCT
ap-760	194	12	.	.	PUNCT
ap-760	195	1	parvaix	parvaix	NOUN
ap-760	195	2	[	[	X
ap-760	195	3	24	24	NUM
ap-760	195	4	]	]	PUNCT
ap-760	195	5	proved	prove	VERB
ap-760	195	6	that	that	SCONJ
ap-760	195	7	bidirectional	bidirectional	ADJ
ap-760	195	8	non	non	ADJ
ap-760	195	9	-	-	ADJ
ap-760	195	10	pointed	pointed	ADJ
ap-760	195	11	sturmian	sturmian	NOUN
ap-760	195	12	words	word	NOUN
ap-760	195	13	with	with	ADP
ap-760	195	14	�	�	PROPN
ap-760	195	15	�	�	PROPN
ap-760	195	16	0	0	NUM
ap-760	195	17	are	be	AUX
ap-760	195	18	invariant	invariant	ADJ
ap-760	195	19	under	under	ADP
ap-760	195	20	�	�	PROPN
ap-760	195	21	substitution	substitution	NOUN
ap-760	195	22	if	if	SCONJ
ap-760	195	23	and	and	CCONJ
ap-760	195	24	only	only	ADV
ap-760	195	25	if	if	SCONJ
ap-760	195	26	�	�	PROPN
ap-760	195	27	is	be	AUX
ap-760	195	28	a	a	DET
ap-760	195	29	sturm	sturm	PROPN
ap-760	195	30	number	number	NOUN
ap-760	195	31	and	and	CCONJ
ap-760	195	32	the	the	DET
ap-760	195	33	intercept	intercept	NOUN
ap-760	195	34	�	�	PROPN
ap-760	195	35	belongs	belong	VERB
ap-760	195	36	to	to	ADP
ap-760	195	37	the	the	DET
ap-760	195	38	quadratic	quadratic	ADJ
ap-760	195	39	field	field	NOUN
ap-760	195	40	q	q	PROPN
ap-760	195	41	a	a	PRON
ap-760	195	42	a	a	DET
ap-760	195	43	b	b	NOUN
ap-760	195	44	a	a	NOUN
ap-760	195	45	,	,	PUNCT
ap-760	195	46	b	b	X
ap-760	195	47	q	q	X
ap-760	195	48	(	(	PUNCT
ap-760	195	49	)	)	PUNCT
ap-760	195	50	{	{	PUNCT
ap-760	195	51	|	|	ADV
ap-760	195	52	}	}	PUNCT
ap-760	195	53	�	�	PROPN
ap-760	195	54	�	�	PROPN
ap-760	195	55	�	�	PROPN
ap-760	195	56	�	�	PROPN
ap-760	195	57	.	.	PUNCT
ap-760	196	1	a	a	DET
ap-760	196	2	complete	complete	ADJ
ap-760	196	3	characterization	characterization	NOUN
ap-760	196	4	of	of	ADP
ap-760	196	5	infinite	infinite	ADJ
ap-760	196	6	one	one	NUM
ap-760	196	7	-	-	PUNCT
ap-760	196	8	sided	sided	ADJ
ap-760	196	9	substitution	substitution	NOUN
ap-760	196	10	invariant	invariant	ADJ
ap-760	196	11	sturmian	sturmian	NOUN
ap-760	196	12	words	word	NOUN
ap-760	196	13	was	be	AUX
ap-760	196	14	done	do	VERB
ap-760	196	15	by	by	ADP
ap-760	196	16	yasutomi	yasutomi	NOUN
ap-760	197	1	[	[	X
ap-760	197	2	25	25	NUM
ap-760	197	3	]	]	PUNCT
ap-760	197	4	.	.	PUNCT
ap-760	198	1	berthé	berthé	PROPN
ap-760	198	2	et	et	PROPN
ap-760	198	3	al	al	PROPN
ap-760	198	4	.	.	PUNCT
ap-760	199	1	[	[	X
ap-760	199	2	26	26	NUM
ap-760	199	3	]	]	PUNCT
ap-760	199	4	studied	study	VERB
ap-760	199	5	infinite	infinite	ADJ
ap-760	199	6	words	word	NOUN
ap-760	199	7	which	which	PRON
ap-760	199	8	arise	arise	VERB
ap-760	199	9	from	from	ADP
ap-760	199	10	the	the	DET
ap-760	199	11	coding	coding	NOUN
ap-760	199	12	of	of	ADP
ap-760	199	13	the	the	DET
ap-760	199	14	2	2	NUM
ap-760	199	15	-	-	PUNCT
ap-760	199	16	interval	interval	NOUN
ap-760	199	17	exchange	exchange	NOUN
ap-760	199	18	map	map	NOUN
ap-760	199	19	and	and	CCONJ
ap-760	199	20	gave	give	VERB
ap-760	199	21	an	an	DET
ap-760	199	22	alternative	alternative	ADJ
ap-760	199	23	proof	proof	NOUN
ap-760	199	24	of	of	ADP
ap-760	199	25	yasutomi	yasutomi	NOUN
ap-760	199	26	’s	’s	PART
ap-760	199	27	result	result	NOUN
ap-760	199	28	using	use	VERB
ap-760	199	29	rauzy	rauzy	NOUN
ap-760	199	30	fractals	fractal	NOUN
ap-760	199	31	associated	associate	VERB
ap-760	199	32	with	with	ADP
ap-760	199	33	invertible	invertible	ADJ
ap-760	199	34	primitive	primitive	ADJ
ap-760	199	35	substitutions	substitution	NOUN
ap-760	199	36	.	.	PUNCT
ap-760	200	1	the	the	DET
ap-760	200	2	authors	author	NOUN
ap-760	200	3	also	also	ADV
ap-760	200	4	defined	define	VERB
ap-760	200	5	for	for	ADP
ap-760	200	6	every	every	DET
ap-760	200	7	fixed	fix	VERB
ap-760	200	8	sturm	sturm	PROPN
ap-760	200	9	number	number	NOUN
ap-760	200	10	�	�	PROPN
ap-760	200	11	a	a	DET
ap-760	200	12	matrix	matrix	NOUN
ap-760	200	13	m	m	PUNCT
ap-760	200	14	�	�	PROPN
ap-760	200	15	�	�	PROPN
ap-760	200	16	�	�	PROPN
ap-760	200	17	q2	q2	PROPN
ap-760	200	18	2	2	NUM
ap-760	200	19	that	that	PRON
ap-760	200	20	is	be	AUX
ap-760	200	21	called	call	VERB
ap-760	200	22	the	the	DET
ap-760	200	23	generating	generate	VERB
ap-760	200	24	matrix	matrix	NOUN
ap-760	200	25	of	of	ADP
ap-760	200	26	�	�	PROPN
ap-760	200	27	and	and	CCONJ
ap-760	200	28	is	be	AUX
ap-760	200	29	closely	closely	ADV
ap-760	200	30	related	relate	VERB
ap-760	200	31	to	to	ADP
ap-760	200	32	the	the	DET
ap-760	200	33	smallest	small	ADJ
ap-760	200	34	solution	solution	NOUN
ap-760	200	35	of	of	ADP
ap-760	200	36	a	a	DET
ap-760	200	37	pell	pell	NOUN
ap-760	200	38	equation	equation	NOUN
ap-760	200	39	.	.	PUNCT
ap-760	201	1	they	they	PRON
ap-760	201	2	showed	show	VERB
ap-760	201	3	that	that	SCONJ
ap-760	201	4	a	a	DET
ap-760	201	5	sturmian	sturmian	NOUN
ap-760	201	6	sequence	sequence	NOUN
ap-760	201	7	s	s	PART
ap-760	201	8	�	�	PROPN
ap-760	201	9	�	�	PROPN
ap-760	201	10	,	,	PUNCT
ap-760	201	11	(	(	PUNCT
ap-760	201	12	�	�	PROPN
ap-760	201	13	sturm	sturm	PROPN
ap-760	201	14	number	number	PROPN
ap-760	201	15	,	,	PUNCT
ap-760	201	16	�	�	PROPN
ap-760	201	17	�	�	PROPN
ap-760	201	18	[	[	PUNCT
ap-760	201	19	,	,	PUNCT
ap-760	201	20	)	)	PUNCT
ap-760	201	21	0	0	NUM
ap-760	201	22	1	1	NUM
ap-760	201	23	)	)	PUNCT
ap-760	201	24	is	be	AUX
ap-760	201	25	a	a	DET
ap-760	201	26	fixed	fix	VERB
ap-760	201	27	point	point	NOUN
ap-760	201	28	of	of	ADP
ap-760	201	29	a	a	DET
ap-760	201	30	substitution	substitution	NOUN
ap-760	201	31	with	with	ADP
ap-760	201	32	substitution	substitution	NOUN
ap-760	201	33	matrix	matrix	NOUN
ap-760	202	1	a	a	DET
ap-760	202	2	if	if	NOUN
ap-760	203	1	and	and	CCONJ
ap-760	203	2	only	only	ADV
ap-760	203	3	if	if	SCONJ
ap-760	203	4	a	a	PRON
ap-760	203	5	has	have	VERB
ap-760	203	6	the	the	DET
ap-760	203	7	form	form	NOUN
ap-760	203	8	m	m	NOUN
ap-760	203	9	�	�	PROPN
ap-760	203	10	l	l	NOUN
ap-760	203	11	,	,	PUNCT
ap-760	203	12	for	for	ADP
ap-760	203	13	some	some	DET
ap-760	203	14	l	l	NOUN
ap-760	203	15	�	�	PROPN
ap-760	203	16	1	1	NUM
ap-760	203	17	.	.	PUNCT
ap-760	204	1	we	we	PRON
ap-760	204	2	complete	complete	VERB
ap-760	204	3	this	this	DET
ap-760	204	4	overview	overview	NOUN
ap-760	204	5	by	by	ADP
ap-760	204	6	giving	give	VERB
ap-760	204	7	a	a	DET
ap-760	204	8	few	few	ADJ
ap-760	204	9	notes	note	NOUN
ap-760	204	10	on	on	ADP
ap-760	204	11	paper	paper	NOUN
ap-760	204	12	[	[	X
ap-760	204	13	27	27	NUM
ap-760	204	14	]	]	PUNCT
ap-760	204	15	.	.	PUNCT
ap-760	205	1	the	the	DET
ap-760	205	2	authors	author	NOUN
ap-760	205	3	have	have	AUX
ap-760	205	4	completely	completely	ADV
ap-760	205	5	solved	solve	VERB
ap-760	205	6	the	the	DET
ap-760	205	7	question	question	NOUN
ap-760	205	8	of	of	ADP
ap-760	205	9	the	the	DET
ap-760	205	10	substitution	substitution	NOUN
ap-760	205	11	invariance	invariance	NOUN
ap-760	205	12	of	of	ADP
ap-760	205	13	pointed	pointed	ADJ
ap-760	205	14	bidirectional	bidirectional	ADJ
ap-760	205	15	sturmian	sturmian	NOUN
ap-760	205	16	words	word	NOUN
ap-760	205	17	.	.	PUNCT
ap-760	206	1	the	the	DET
ap-760	206	2	main	main	ADJ
ap-760	206	3	theorem	theorem	NOUN
ap-760	206	4	shown	show	VERB
ap-760	206	5	in	in	ADP
ap-760	206	6	the	the	DET
ap-760	206	7	paper	paper	NOUN
ap-760	206	8	is	be	AUX
ap-760	206	9	the	the	DET
ap-760	206	10	following	following	NOUN
ap-760	206	11	.	.	PUNCT
ap-760	207	1	theorem	theorem	VERB
ap-760	207	2	3.1	3.1	NUM
ap-760	207	3	:	:	PUNCT
ap-760	207	4	let	let	VERB
ap-760	207	5	�	�	PROPN
ap-760	207	6	be	be	AUX
ap-760	207	7	an	an	DET
ap-760	207	8	irrational	irrational	ADJ
ap-760	207	9	number	number	NOUN
ap-760	207	10	,	,	PUNCT
ap-760	207	11	�	�	PROPN
ap-760	207	12	�	�	PROPN
ap-760	207	13	(	(	PUNCT
ap-760	207	14	,	,	PUNCT
ap-760	207	15	)	)	PUNCT
ap-760	207	16	0	0	NUM
ap-760	207	17	1	1	NUM
ap-760	207	18	,	,	PUNCT
ap-760	207	19	�	�	PROPN
ap-760	207	20	�	�	PROPN
ap-760	207	21	[	[	PUNCT
ap-760	207	22	,	,	PUNCT
ap-760	207	23	)	)	PUNCT
ap-760	207	24	0	0	NUM
ap-760	208	1	1	1	NUM
ap-760	208	2	.	.	PUNCT
ap-760	209	1	the	the	DET
ap-760	209	2	pointed	pointed	ADJ
ap-760	209	3	bidirectional	bidirectional	ADJ
ap-760	209	4	sturmian	sturmian	NOUN
ap-760	209	5	word	word	NOUN
ap-760	209	6	with	with	ADP
ap-760	209	7	slope	slope	NOUN
ap-760	209	8	�	�	PROPN
ap-760	209	9	and	and	CCONJ
ap-760	209	10	intercept	intercept	PROPN
ap-760	209	11	�	�	PROPN
ap-760	209	12	is	be	AUX
ap-760	209	13	invariant	invariant	ADJ
ap-760	209	14	under	under	ADP
ap-760	209	15	a	a	DET
ap-760	209	16	non	non	ADJ
ap-760	209	17	-	-	ADJ
ap-760	209	18	trivial	trivial	ADJ
ap-760	209	19	substitution	substitution	NOUN
ap-760	209	20	if	if	SCONJ
ap-760	210	1	and	and	CCONJ
ap-760	210	2	only	only	ADV
ap-760	210	3	if	if	SCONJ
ap-760	210	4	the	the	DET
ap-760	210	5	following	follow	VERB
ap-760	210	6	three	three	NUM
ap-760	210	7	conditions	condition	NOUN
ap-760	210	8	are	be	AUX
ap-760	210	9	satisfied	satisfied	ADJ
ap-760	210	10	:	:	PUNCT
ap-760	210	11	1	1	X
ap-760	210	12	.	.	X
ap-760	210	13	�	�	PROPN
ap-760	210	14	is	be	AUX
ap-760	210	15	a	a	DET
ap-760	210	16	sturm	sturm	PROPN
ap-760	210	17	number	number	NOUN
ap-760	210	18	,	,	PUNCT
ap-760	210	19	2	2	NUM
ap-760	210	20	.	.	X
ap-760	210	21	�	�	PROPN
ap-760	210	22	�	�	PROPN
ap-760	210	23	�	�	PROPN
ap-760	210	24	q	q	PART
ap-760	210	25	(	(	PUNCT
ap-760	210	26	)	)	PUNCT
ap-760	210	27	,	,	PUNCT
ap-760	210	28	3	3	X
ap-760	210	29	.	.	X
ap-760	210	30	�	�	PROPN
ap-760	210	31	�	�	PROPN
ap-760	210	32	�	�	PROPN
ap-760	210	33	�	�	PROPN
ap-760	210	34	�	�	PROPN
ap-760	210	35	�	�	PROPN
ap-760	210	36	�	�	PROPN
ap-760	210	37	�	�	PROPN
ap-760	210	38	�	�	PROPN
ap-760	210	39	1	1	NUM
ap-760	210	40	or	or	CCONJ
ap-760	210	41	1	1	NUM
ap-760	210	42	�	�	PROPN
ap-760	210	43	�	�	PROPN
ap-760	210	44	�	�	PROPN
ap-760	210	45	�	�	PROPN
ap-760	210	46	�	�	PROPN
ap-760	210	47	�	�	PROPN
ap-760	210	48	�	�	PROPN
ap-760	210	49	�	�	PROPN
ap-760	210	50	�	�	PROPN
ap-760	210	51	,	,	PUNCT
ap-760	210	52	where	where	SCONJ
ap-760	210	53	�	�	PROPN
ap-760	210	54	�	�	PROPN
ap-760	210	55	is	be	AUX
ap-760	210	56	the	the	DET
ap-760	210	57	image	image	NOUN
ap-760	210	58	of	of	ADP
ap-760	210	59	�	�	PROPN
ap-760	210	60	under	under	ADP
ap-760	210	61	the	the	DET
ap-760	210	62	galois	galois	PROPN
ap-760	210	63	automorphism	automorphism	NOUN
ap-760	210	64	of	of	ADP
ap-760	210	65	the	the	DET
ap-760	210	66	quadratic	quadratic	ADJ
ap-760	210	67	field	field	NOUN
ap-760	210	68	q	q	NOUN
ap-760	210	69	(	(	PUNCT
ap-760	210	70	)	)	PUNCT
ap-760	210	71	�	�	PROPN
ap-760	210	72	.	.	PUNCT
ap-760	211	1	note	note	VERB
ap-760	211	2	that	that	SCONJ
ap-760	211	3	this	this	DET
ap-760	211	4	result	result	NOUN
ap-760	211	5	is	be	AUX
ap-760	211	6	analogous	analogous	ADJ
ap-760	211	7	to	to	ADP
ap-760	211	8	those	those	PRON
ap-760	211	9	derived	derive	VERB
ap-760	211	10	in	in	ADP
ap-760	211	11	[	[	X
ap-760	211	12	25	25	NUM
ap-760	211	13	]	]	PUNCT
ap-760	211	14	and	and	CCONJ
ap-760	211	15	[	[	X
ap-760	211	16	26	26	NUM
ap-760	211	17	]	]	PUNCT
ap-760	211	18	for	for	ADP
ap-760	211	19	the	the	DET
ap-760	211	20	one	one	NUM
ap-760	211	21	-	-	PUNCT
ap-760	211	22	sided	side	VERB
ap-760	211	23	case	case	NOUN
ap-760	211	24	.	.	PUNCT
ap-760	212	1	the	the	DET
ap-760	212	2	proof	proof	NOUN
ap-760	212	3	presented	present	VERB
ap-760	212	4	in	in	ADP
ap-760	212	5	[	[	X
ap-760	212	6	27	27	NUM
ap-760	212	7	]	]	PUNCT
ap-760	212	8	is	be	AUX
ap-760	212	9	constructive	constructive	ADJ
ap-760	212	10	based	base	VERB
ap-760	212	11	on	on	ADP
ap-760	212	12	the	the	DET
ap-760	212	13	cut	cut	NOUN
ap-760	212	14	-	-	PUNCT
ap-760	212	15	and	and	CCONJ
ap-760	212	16	-	-	PUNCT
ap-760	212	17	project	project	NOUN
ap-760	212	18	scheme	scheme	NOUN
ap-760	212	19	that	that	PRON
ap-760	212	20	was	be	AUX
ap-760	212	21	sketched	sketch	VERB
ap-760	212	22	in	in	ADP
ap-760	212	23	the	the	DET
ap-760	212	24	paragraph	paragraph	NOUN
ap-760	212	25	devoted	devote	VERB
ap-760	212	26	to	to	ADP
ap-760	212	27	bidirectional	bidirectional	ADJ
ap-760	212	28	words	word	NOUN
ap-760	212	29	.	.	PUNCT
ap-760	213	1	this	this	DET
ap-760	213	2	approach	approach	NOUN
ap-760	213	3	has	have	AUX
ap-760	213	4	not	not	PART
ap-760	213	5	been	be	AUX
ap-760	213	6	used	use	VERB
ap-760	213	7	yet	yet	ADV
ap-760	213	8	in	in	ADP
ap-760	213	9	the	the	DET
ap-760	213	10	study	study	NOUN
ap-760	213	11	of	of	ADP
ap-760	213	12	substitution	substitution	NOUN
ap-760	213	13	invariant	invariant	ADJ
ap-760	213	14	sturmian	sturmian	NOUN
ap-760	213	15	words	word	NOUN
ap-760	213	16	.	.	PUNCT
ap-760	214	1	it	it	PRON
ap-760	214	2	turns	turn	VERB
ap-760	214	3	out	out	ADP
ap-760	214	4	to	to	PART
ap-760	214	5	be	be	AUX
ap-760	214	6	a	a	DET
ap-760	214	7	good	good	ADJ
ap-760	214	8	choice	choice	NOUN
ap-760	214	9	because	because	SCONJ
ap-760	214	10	the	the	DET
ap-760	214	11	proof	proof	NOUN
ap-760	214	12	is	be	AUX
ap-760	214	13	simple	simple	ADJ
ap-760	214	14	.	.	PUNCT
ap-760	215	1	one	one	NUM
ap-760	215	2	of	of	ADP
ap-760	215	3	the	the	DET
ap-760	215	4	advantages	advantage	NOUN
ap-760	215	5	of	of	ADP
ap-760	215	6	the	the	DET
ap-760	215	7	cut	cut	NOUN
ap-760	215	8	-	-	PUNCT
ap-760	215	9	and	and	CCONJ
ap-760	215	10	-	-	PUNCT
ap-760	215	11	project	project	NOUN
ap-760	215	12	scheme	scheme	NOUN
ap-760	215	13	is	be	AUX
ap-760	215	14	that	that	SCONJ
ap-760	215	15	the	the	DET
ap-760	215	16	more	more	ADV
ap-760	215	17	difficult	difficult	ADJ
ap-760	215	18	parts	part	NOUN
ap-760	215	19	of	of	ADP
ap-760	215	20	the	the	DET
ap-760	215	21	proof	proof	NOUN
ap-760	215	22	can	can	AUX
ap-760	215	23	be	be	AUX
ap-760	215	24	illustrated	illustrate	VERB
ap-760	215	25	on	on	ADP
ap-760	215	26	vivid	vivid	ADJ
ap-760	215	27	examples	example	NOUN
ap-760	215	28	,	,	PUNCT
ap-760	215	29	which	which	PRON
ap-760	215	30	makes	make	VERB
ap-760	215	31	the	the	DET
ap-760	215	32	whole	whole	ADJ
ap-760	215	33	paper	paper	NOUN
ap-760	215	34	more	more	ADV
ap-760	215	35	comprehensible	comprehensible	ADJ
ap-760	215	36	.	.	PUNCT
ap-760	216	1	we	we	PRON
ap-760	216	2	believe	believe	VERB
ap-760	216	3	that	that	SCONJ
ap-760	216	4	methods	method	NOUN
ap-760	216	5	similar	similar	ADJ
ap-760	216	6	to	to	ADP
ap-760	216	7	those	those	PRON
ap-760	216	8	in	in	ADP
ap-760	216	9	[	[	X
ap-760	216	10	27	27	NUM
ap-760	216	11	]	]	PUNCT
ap-760	216	12	can	can	AUX
ap-760	216	13	solve	solve	VERB
ap-760	216	14	the	the	DET
ap-760	216	15	question	question	NOUN
ap-760	216	16	of	of	ADP
ap-760	216	17	the	the	DET
ap-760	216	18	substitution	substitution	NOUN
ap-760	216	19	invariance	invariance	NOUN
ap-760	216	20	of	of	ADP
ap-760	216	21	words	word	NOUN
ap-760	216	22	over	over	ADP
ap-760	216	23	a	a	DET
ap-760	216	24	3	3	NUM
ap-760	216	25	letter	letter	NOUN
ap-760	216	26	alphabet	alphabet	NOUN
ap-760	216	27	,	,	PUNCT
ap-760	216	28	which	which	PRON
ap-760	216	29	arise	arise	VERB
ap-760	216	30	from	from	ADP
ap-760	216	31	the	the	DET
ap-760	216	32	coding	coding	NOUN
ap-760	216	33	of	of	ADP
ap-760	216	34	the	the	DET
ap-760	216	35	3	3	NUM
ap-760	216	36	-	-	PUNCT
ap-760	216	37	interval	interval	NOUN
ap-760	216	38	exchange	exchange	NOUN
ap-760	216	39	map	map	NOUN
ap-760	216	40	.	.	PUNCT
ap-760	217	1	4	4	NUM
ap-760	217	2	open	open	ADJ
ap-760	217	3	problems	problem	NOUN
ap-760	217	4	we	we	PRON
ap-760	217	5	have	have	AUX
ap-760	217	6	summarized	summarize	VERB
ap-760	217	7	several	several	ADJ
ap-760	217	8	interesting	interesting	ADJ
ap-760	217	9	properties	property	NOUN
ap-760	217	10	of	of	ADP
ap-760	217	11	sturmian	sturmian	ADJ
ap-760	217	12	words	word	NOUN
ap-760	217	13	and	and	CCONJ
ap-760	217	14	here	here	ADV
ap-760	217	15	we	we	PRON
ap-760	217	16	would	would	AUX
ap-760	217	17	like	like	VERB
ap-760	217	18	to	to	PART
ap-760	217	19	highlight	highlight	VERB
ap-760	217	20	how	how	SCONJ
ap-760	217	21	the	the	DET
ap-760	217	22	results	result	NOUN
ap-760	217	23	about	about	ADP
ap-760	217	24	sturmian	sturmian	NOUN
ap-760	217	25	words	word	NOUN
ap-760	217	26	can	can	AUX
ap-760	217	27	help	help	VERB
ap-760	217	28	in	in	ADP
ap-760	217	29	further	further	ADJ
ap-760	217	30	advances	advance	NOUN
ap-760	217	31	in	in	ADP
ap-760	217	32	the	the	DET
ap-760	217	33	field	field	NOUN
ap-760	217	34	of	of	ADP
ap-760	217	35	aperiodic	aperiodic	ADJ
ap-760	217	36	words	word	NOUN
ap-760	217	37	.	.	PUNCT
ap-760	218	1	as	as	SCONJ
ap-760	218	2	sturmian	sturmian	NOUN
ap-760	218	3	words	word	NOUN
ap-760	218	4	are	be	AUX
ap-760	218	5	the	the	DET
ap-760	218	6	simplest	simple	ADJ
ap-760	218	7	aperiodic	aperiodic	ADJ
ap-760	218	8	structures	structure	NOUN
ap-760	218	9	,	,	PUNCT
ap-760	218	10	the	the	DET
ap-760	218	11	question	question	NOUN
ap-760	218	12	of	of	ADP
ap-760	218	13	generalisation	generalisation	NOUN
ap-760	218	14	of	of	ADP
ap-760	218	15	results	result	NOUN
ap-760	218	16	obtained	obtain	VERB
ap-760	218	17	for	for	ADP
ap-760	218	18	sturmian	sturmian	ADJ
ap-760	218	19	words	word	NOUN
ap-760	218	20	is	be	AUX
ap-760	218	21	particularly	particularly	ADV
ap-760	218	22	interesting	interesting	ADJ
ap-760	218	23	.	.	PUNCT
ap-760	219	1	the	the	DET
ap-760	219	2	direct	direct	ADJ
ap-760	219	3	generalization	generalization	NOUN
ap-760	219	4	of	of	ADP
ap-760	219	5	sturmian	sturmian	ADJ
ap-760	219	6	words	word	NOUN
ap-760	219	7	are	be	AUX
ap-760	219	8	infinite	infinite	ADJ
ap-760	219	9	words	word	NOUN
ap-760	219	10	which	which	PRON
ap-760	219	11	arise	arise	VERB
ap-760	219	12	from	from	ADP
ap-760	219	13	the	the	DET
ap-760	219	14	coding	coding	NOUN
ap-760	219	15	of	of	ADP
ap-760	219	16	a	a	DET
ap-760	219	17	3	3	NUM
ap-760	219	18	-	-	PUNCT
ap-760	219	19	interval	interval	NOUN
ap-760	219	20	(	(	PUNCT
ap-760	219	21	resp	resp	NOUN
ap-760	219	22	.	.	PUNCT
ap-760	220	1	r	r	NOUN
ap-760	220	2	-	-	PUNCT
ap-760	220	3	interval	interval	NOUN
ap-760	220	4	)	)	PUNCT
ap-760	220	5	exchange	exchange	NOUN
ap-760	220	6	map	map	NOUN
ap-760	220	7	.	.	PUNCT
ap-760	221	1	we	we	PRON
ap-760	221	2	believe	believe	VERB
ap-760	221	3	that	that	SCONJ
ap-760	221	4	results	result	NOUN
ap-760	221	5	and	and	CCONJ
ap-760	221	6	techniques	technique	NOUN
ap-760	221	7	used	use	VERB
ap-760	221	8	in	in	ADP
ap-760	221	9	the	the	DET
ap-760	221	10	study	study	NOUN
ap-760	221	11	of	of	ADP
ap-760	221	12	sturmian	sturmian	ADJ
ap-760	221	13	words	word	NOUN
ap-760	221	14	can	can	AUX
ap-760	221	15	be	be	AUX
ap-760	221	16	applied	apply	VERB
ap-760	221	17	with	with	ADP
ap-760	221	18	success	success	NOUN
ap-760	221	19	to	to	PART
ap-760	221	20	open	open	VERB
ap-760	221	21	problems	problem	NOUN
ap-760	221	22	connected	connect	VERB
ap-760	221	23	with	with	ADP
ap-760	221	24	words	word	NOUN
ap-760	221	25	coding	code	VERB
ap-760	221	26	a	a	DET
ap-760	221	27	3	3	NUM
ap-760	221	28	-	-	PUNCT
ap-760	221	29	interval	interval	NOUN
ap-760	221	30	exchange	exchange	NOUN
ap-760	221	31	map	map	NOUN
ap-760	221	32	.	.	PUNCT
ap-760	222	1	below	below	ADP
ap-760	222	2	you	you	PRON
ap-760	222	3	may	may	AUX
ap-760	222	4	find	find	VERB
ap-760	222	5	a	a	DET
ap-760	222	6	list	list	NOUN
ap-760	222	7	of	of	ADP
ap-760	222	8	the	the	DET
ap-760	222	9	most	most	ADV
ap-760	222	10	interesting	interesting	ADJ
ap-760	222	11	issues	issue	NOUN
ap-760	222	12	.	.	PUNCT
ap-760	223	1	1	1	X
ap-760	223	2	.	.	X
ap-760	223	3	a	a	DET
ap-760	223	4	necessary	necessary	ADJ
ap-760	223	5	and	and	CCONJ
ap-760	223	6	sufficient	sufficient	ADJ
ap-760	223	7	condition	condition	NOUN
ap-760	223	8	on	on	ADP
ap-760	223	9	the	the	DET
ap-760	223	10	substitution	substitution	NOUN
ap-760	223	11	invariance	invariance	NOUN
ap-760	223	12	of	of	ADP
ap-760	223	13	the	the	DET
ap-760	223	14	words	word	NOUN
ap-760	223	15	coding	code	VERB
ap-760	223	16	a	a	DET
ap-760	223	17	3	3	NUM
ap-760	223	18	-	-	PUNCT
ap-760	223	19	interval	interval	NOUN
ap-760	223	20	exchange	exchange	NOUN
ap-760	223	21	map	map	NOUN
ap-760	223	22	is	be	AUX
ap-760	223	23	still	still	ADV
ap-760	223	24	not	not	PART
ap-760	223	25	known	know	VERB
ap-760	223	26	.	.	PUNCT
ap-760	224	1	the	the	DET
ap-760	224	2	problem	problem	NOUN
ap-760	224	3	of	of	ADP
ap-760	224	4	finding	find	VERB
ap-760	224	5	a	a	DET
ap-760	224	6	similar	similar	ADJ
ap-760	224	7	condition	condition	NOUN
ap-760	224	8	to	to	ADP
ap-760	224	9	that	that	PRON
ap-760	224	10	of	of	ADP
ap-760	224	11	theorem	theorem	ADJ
ap-760	224	12	3.1	3.1	NUM
ap-760	224	13	is	be	AUX
ap-760	224	14	still	still	ADV
ap-760	224	15	open	open	ADJ
ap-760	224	16	,	,	PUNCT
ap-760	224	17	but	but	CCONJ
ap-760	224	18	the	the	DET
ap-760	224	19	techniques	technique	NOUN
ap-760	224	20	used	use	VERB
ap-760	224	21	in	in	ADP
ap-760	224	22	[	[	X
ap-760	224	23	27	27	NUM
ap-760	224	24	]	]	PUNCT
ap-760	224	25	may	may	AUX
ap-760	224	26	bring	bring	VERB
ap-760	224	27	some	some	DET
ap-760	224	28	answers	answer	NOUN
ap-760	224	29	.	.	PUNCT
ap-760	225	1	2	2	X
ap-760	225	2	.	.	X
ap-760	225	3	giving	give	VERB
ap-760	225	4	a	a	DET
ap-760	225	5	description	description	NOUN
ap-760	225	6	of	of	ADP
ap-760	225	7	substitution	substitution	NOUN
ap-760	225	8	matrices	matrix	NOUN
ap-760	225	9	of	of	ADP
ap-760	225	10	substitutions	substitution	NOUN
ap-760	225	11	which	which	PRON
ap-760	225	12	generate	generate	VERB
ap-760	225	13	the	the	DET
ap-760	225	14	words	word	NOUN
ap-760	225	15	coding	code	VERB
ap-760	225	16	a	a	DET
ap-760	225	17	3	3	NUM
ap-760	225	18	-	-	PUNCT
ap-760	225	19	interval	interval	NOUN
ap-760	225	20	exchange	exchange	NOUN
ap-760	225	21	map	map	NOUN
ap-760	225	22	is	be	AUX
ap-760	225	23	a	a	DET
ap-760	225	24	problem	problem	NOUN
ap-760	225	25	closely	closely	ADV
ap-760	225	26	related	relate	VERB
ap-760	225	27	to	to	ADP
ap-760	225	28	the	the	DET
ap-760	225	29	previous	previous	ADJ
ap-760	225	30	one	one	NUM
ap-760	225	31	.	.	PUNCT
ap-760	226	1	the	the	DET
ap-760	226	2	question	question	NOUN
ap-760	226	3	of	of	ADP
ap-760	226	4	finding	find	VERB
ap-760	226	5	generating	generate	VERB
ap-760	226	6	matrices	matrix	NOUN
ap-760	226	7	of	of	ADP
ap-760	226	8	such	such	ADJ
ap-760	226	9	22	22	NUM
ap-760	226	10	©	©	PROPN
ap-760	226	11	czech	czech	PROPN
ap-760	226	12	technical	technical	PROPN
ap-760	226	13	university	university	PROPN
ap-760	226	14	publishing	publishing	NOUN
ap-760	226	15	house	house	NOUN
ap-760	226	16	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-760	226	17	acta	acta	PROPN
ap-760	226	18	polytechnica	polytechnica	PROPN
ap-760	226	19	vol	vol	NOUN
ap-760	226	20	.	.	PROPN
ap-760	227	1	45	45	NUM
ap-760	227	2	no	no	NOUN
ap-760	227	3	.	.	PUNCT
ap-760	228	1	5/2005	5/2005	NUM
ap-760	228	2	czech	czech	PROPN
ap-760	228	3	technical	technical	PROPN
ap-760	228	4	university	university	PROPN
ap-760	228	5	in	in	ADP
ap-760	228	6	prague	prague	PROPN
ap-760	228	7	substitutions	substitution	NOUN
ap-760	228	8	seems	seem	VERB
ap-760	228	9	to	to	PART
ap-760	228	10	be	be	AUX
ap-760	228	11	very	very	ADV
ap-760	228	12	challenging	challenging	ADJ
ap-760	228	13	.	.	PUNCT
ap-760	229	1	this	this	DET
ap-760	229	2	issue	issue	NOUN
ap-760	229	3	was	be	AUX
ap-760	229	4	solved	solve	VERB
ap-760	229	5	in	in	ADP
ap-760	229	6	[	[	X
ap-760	229	7	26	26	NUM
ap-760	229	8	]	]	PUNCT
ap-760	229	9	for	for	ADP
ap-760	229	10	sturmian	sturmian	NOUN
ap-760	229	11	words	word	NOUN
ap-760	229	12	.	.	PUNCT
ap-760	230	1	3	3	X
ap-760	230	2	.	.	X
ap-760	230	3	although	although	SCONJ
ap-760	230	4	a	a	DET
ap-760	230	5	description	description	NOUN
ap-760	230	6	of	of	ADP
ap-760	230	7	palindromes	palindrome	NOUN
ap-760	230	8	in	in	ADP
ap-760	230	9	the	the	DET
ap-760	230	10	words	word	NOUN
ap-760	230	11	coding	code	VERB
ap-760	230	12	a	a	DET
ap-760	230	13	3	3	NUM
ap-760	230	14	-	-	PUNCT
ap-760	230	15	interval	interval	NOUN
ap-760	230	16	exchange	exchange	NOUN
ap-760	230	17	map	map	NOUN
ap-760	230	18	is	be	AUX
ap-760	230	19	already	already	ADV
ap-760	230	20	known	know	VERB
ap-760	230	21	[	[	PUNCT
ap-760	230	22	17	17	NUM
ap-760	230	23	]	]	PUNCT
ap-760	230	24	,	,	PUNCT
ap-760	230	25	we	we	PRON
ap-760	230	26	believe	believe	VERB
ap-760	230	27	that	that	SCONJ
ap-760	230	28	the	the	DET
ap-760	230	29	use	use	NOUN
ap-760	230	30	of	of	ADP
ap-760	230	31	the	the	DET
ap-760	230	32	cut	cut	NOUN
ap-760	230	33	-	-	PUNCT
ap-760	230	34	and	and	CCONJ
ap-760	230	35	-	-	PUNCT
ap-760	230	36	project	project	NOUN
ap-760	230	37	scheme	scheme	NOUN
ap-760	230	38	can	can	AUX
ap-760	230	39	give	give	VERB
ap-760	230	40	an	an	DET
ap-760	230	41	alternative	alternative	ADJ
ap-760	230	42	proof	proof	NOUN
ap-760	230	43	of	of	ADP
ap-760	230	44	this	this	DET
ap-760	230	45	result	result	NOUN
ap-760	230	46	.	.	PUNCT
ap-760	231	1	nevertheless	nevertheless	ADV
ap-760	231	2	the	the	DET
ap-760	231	3	palindromic	palindromic	ADJ
ap-760	231	4	complexity	complexity	NOUN
ap-760	231	5	is	be	AUX
ap-760	231	6	described	describe	VERB
ap-760	231	7	only	only	ADV
ap-760	231	8	for	for	ADP
ap-760	231	9	a	a	DET
ap-760	231	10	2	2	NUM
ap-760	231	11	-	-	PUNCT
ap-760	231	12	interval	interval	NOUN
ap-760	231	13	exchange	exchange	NOUN
ap-760	231	14	map	map	NOUN
ap-760	231	15	(	(	PUNCT
ap-760	231	16	see	see	VERB
ap-760	231	17	theorem	theorem	VERB
ap-760	231	18	2.3	2.3	NUM
ap-760	231	19	)	)	PUNCT
ap-760	231	20	and	and	CCONJ
ap-760	231	21	a	a	DET
ap-760	231	22	3	3	NUM
ap-760	231	23	-	-	PUNCT
ap-760	231	24	interval	interval	NOUN
ap-760	231	25	exchange	exchange	NOUN
ap-760	231	26	map	map	NOUN
ap-760	231	27	[	[	X
ap-760	231	28	28	28	NUM
ap-760	231	29	]	]	PUNCT
ap-760	231	30	,	,	PUNCT
ap-760	231	31	but	but	CCONJ
ap-760	231	32	we	we	PRON
ap-760	231	33	believe	believe	VERB
ap-760	231	34	that	that	SCONJ
ap-760	231	35	a	a	DET
ap-760	231	36	general	general	ADJ
ap-760	231	37	description	description	NOUN
ap-760	231	38	can	can	AUX
ap-760	231	39	be	be	AUX
ap-760	231	40	obtained	obtain	VERB
ap-760	231	41	by	by	ADP
ap-760	231	42	considerations	consideration	NOUN
ap-760	231	43	based	base	VERB
ap-760	231	44	on	on	ADP
ap-760	231	45	the	the	DET
ap-760	231	46	cut	cut	NOUN
ap-760	231	47	-	-	PUNCT
ap-760	231	48	and	and	CCONJ
ap-760	231	49	-	-	PUNCT
ap-760	231	50	project	project	NOUN
ap-760	231	51	scheme	scheme	NOUN
ap-760	231	52	.	.	PUNCT
ap-760	232	1	5	5	NUM
ap-760	232	2	acknowledgment	acknowledgment	NOUN
ap-760	232	3	the	the	DET
ap-760	232	4	author	author	NOUN
ap-760	232	5	acknowledges	acknowledge	VERB
ap-760	232	6	partial	partial	ADJ
ap-760	232	7	funding	funding	NOUN
ap-760	232	8	from	from	ADP
ap-760	232	9	the	the	DET
ap-760	232	10	czech	czech	PROPN
ap-760	232	11	science	science	PROPN
ap-760	232	12	foundation	foundation	PROPN
ap-760	232	13	ga	ga	PROPN
ap-760	232	14	,	,	PUNCT
ap-760	232	15	čr	čr	PROPN
ap-760	232	16	201/05/0169	201/05/0169	NUM
ap-760	232	17	.	.	PUNCT
ap-760	233	1	the	the	DET
ap-760	233	2	author	author	NOUN
ap-760	233	3	is	be	AUX
ap-760	233	4	also	also	ADV
ap-760	233	5	very	very	ADV
ap-760	233	6	obliged	oblige	VERB
ap-760	233	7	to	to	ADP
ap-760	233	8	edita	edita	PROPN
ap-760	233	9	pelantová	pelantová	PROPN
ap-760	233	10	and	and	CCONJ
ap-760	233	11	zuzana	zuzana	PROPN
ap-760	233	12	masáková	masáková	PROPN
ap-760	233	13	for	for	ADP
ap-760	233	14	their	their	PRON
ap-760	233	15	help	help	NOUN
ap-760	233	16	and	and	CCONJ
ap-760	233	17	discussions	discussion	NOUN
ap-760	233	18	on	on	ADP
ap-760	233	19	the	the	DET
ap-760	233	20	paper	paper	NOUN
ap-760	233	21	.	.	PUNCT
ap-760	234	1	references	reference	NOUN
ap-760	234	2	[	[	X
ap-760	234	3	1	1	NUM
ap-760	234	4	]	]	PUNCT
ap-760	234	5	shechtman	shechtman	NOUN
ap-760	234	6	,	,	PUNCT
ap-760	234	7	d.	d.	PROPN
ap-760	234	8	et	et	PROPN
ap-760	234	9	al	al	PROPN
ap-760	234	10	.	.	PROPN
ap-760	234	11	:	:	PUNCT
ap-760	234	12	“	"	PUNCT
ap-760	234	13	metallic	metallic	ADJ
ap-760	234	14	phase	phase	NOUN
ap-760	234	15	with	with	ADP
ap-760	234	16	long	long	ADJ
ap-760	234	17	-	-	PUNCT
ap-760	234	18	range	range	NOUN
ap-760	234	19	orientational	orientational	ADJ
ap-760	234	20	order	order	NOUN
ap-760	234	21	and	and	CCONJ
ap-760	234	22	no	no	DET
ap-760	234	23	translational	translational	ADJ
ap-760	234	24	symmetry	symmetry	NOUN
ap-760	234	25	.	.	PUNCT
ap-760	234	26	”	"	PUNCT
ap-760	235	1	phys	phy	NOUN
ap-760	235	2	.	.	PUNCT
ap-760	236	1	rev	rev	PROPN
ap-760	236	2	.	.	PROPN
ap-760	236	3	lett	lett	PROPN
ap-760	236	4	.	.	PUNCT
ap-760	237	1	vol	vol	NOUN
ap-760	237	2	.	.	PUNCT
ap-760	238	1	53	53	NUM
ap-760	238	2	(	(	PUNCT
ap-760	238	3	1984	1984	NUM
ap-760	238	4	)	)	PUNCT
ap-760	238	5	,	,	PUNCT
ap-760	238	6	p.	p.	NOUN
ap-760	238	7	1951–1953	1951–1953	NUM
ap-760	238	8	.	.	PUNCT
ap-760	239	1	[	[	X
ap-760	239	2	2	2	NUM
ap-760	239	3	]	]	PUNCT
ap-760	239	4	bombieri	bombieri	NOUN
ap-760	239	5	,	,	PUNCT
ap-760	239	6	e.	e.	PROPN
ap-760	239	7	,	,	PUNCT
ap-760	239	8	taylor	taylor	PROPN
ap-760	239	9	,	,	PUNCT
ap-760	239	10	j.	j.	PROPN
ap-760	239	11	e.	e.	PROPN
ap-760	239	12	:	:	PUNCT
ap-760	239	13	“	"	PUNCT
ap-760	239	14	which	which	DET
ap-760	239	15	distributions	distribution	NOUN
ap-760	239	16	of	of	ADP
ap-760	239	17	matter	matter	NOUN
ap-760	239	18	diffract	diffract	NOUN
ap-760	239	19	?	?	PUNCT
ap-760	240	1	an	an	DET
ap-760	240	2	initial	initial	ADJ
ap-760	240	3	investigation	investigation	NOUN
ap-760	240	4	.	.	PUNCT
ap-760	240	5	”	"	PUNCT
ap-760	241	1	j.	j.	PROPN
ap-760	241	2	phys	phys	PROPN
ap-760	241	3	.	.	PUNCT
ap-760	241	4	colloque	colloque	PROPN
ap-760	241	5	c3	c3	PROPN
ap-760	241	6	,	,	PUNCT
ap-760	241	7	vol	vol	NOUN
ap-760	241	8	.	.	PROPN
ap-760	241	9	14	14	NUM
ap-760	241	10	(	(	PUNCT
ap-760	241	11	1986	1986	NUM
ap-760	241	12	)	)	PUNCT
ap-760	241	13	,	,	PUNCT
ap-760	241	14	p.	p.	PROPN
ap-760	241	15	19–28	19–28	NUM
ap-760	241	16	.	.	PUNCT
ap-760	242	1	[	[	X
ap-760	242	2	3	3	NUM
ap-760	242	3	]	]	X
ap-760	242	4	guimond	guimond	NOUN
ap-760	242	5	,	,	PUNCT
ap-760	242	6	l.	l.	PROPN
ap-760	242	7	s.	s.	PROPN
ap-760	242	8	,	,	PUNCT
ap-760	242	9	patera	patera	NOUN
ap-760	242	10	,	,	PUNCT
ap-760	242	11	j.	j.	PROPN
ap-760	242	12	:	:	PUNCT
ap-760	242	13	“	"	PUNCT
ap-760	242	14	proving	prove	VERB
ap-760	242	15	the	the	DET
ap-760	242	16	deterministic	deterministic	ADJ
ap-760	242	17	period	period	NOUN
ap-760	242	18	breaking	break	VERB
ap-760	242	19	of	of	ADP
ap-760	242	20	linear	linear	ADJ
ap-760	242	21	congruential	congruential	ADJ
ap-760	242	22	generators	generator	NOUN
ap-760	242	23	using	use	VERB
ap-760	242	24	two	two	NUM
ap-760	242	25	tile	tile	NOUN
ap-760	242	26	quasicrystals	quasicrystal	NOUN
ap-760	242	27	.	.	PUNCT
ap-760	242	28	”	"	PUNCT
ap-760	242	29	math	math	NOUN
ap-760	242	30	.	.	PUNCT
ap-760	243	1	of	of	ADP
ap-760	243	2	comput	comput	NOUN
ap-760	243	3	.	.	PUNCT
ap-760	243	4	,	,	PUNCT
ap-760	243	5	vol	vol	NOUN
ap-760	243	6	.	.	PUNCT
ap-760	243	7	71	71	NUM
ap-760	243	8	(	(	PUNCT
ap-760	243	9	2002	2002	NUM
ap-760	243	10	)	)	PUNCT
ap-760	243	11	,	,	PUNCT
ap-760	243	12	p.	p.	NOUN
ap-760	243	13	319–332	319–332	NUM
ap-760	243	14	.	.	PUNCT
ap-760	244	1	[	[	X
ap-760	244	2	4	4	NUM
ap-760	244	3	]	]	X
ap-760	244	4	hedlund	hedlund	PROPN
ap-760	244	5	,	,	PUNCT
ap-760	244	6	g.	g.	PROPN
ap-760	244	7	,	,	PUNCT
ap-760	244	8	morse	morse	PROPN
ap-760	244	9	,	,	PUNCT
ap-760	244	10	m.	m.	NOUN
ap-760	244	11	:	:	PUNCT
ap-760	244	12	“	"	PUNCT
ap-760	244	13	symbolic	symbolic	ADJ
ap-760	244	14	dynamics	dynamic	NOUN
ap-760	244	15	ii	ii	PROPN
ap-760	244	16	:	:	PUNCT
ap-760	244	17	sturmian	sturmian	NOUN
ap-760	244	18	sequences	sequence	NOUN
ap-760	244	19	.	.	PUNCT
ap-760	244	20	”	"	PUNCT
ap-760	245	1	amer	amer	PROPN
ap-760	245	2	.	.	PUNCT
ap-760	246	1	j.	j.	PROPN
ap-760	246	2	math	math	PROPN
ap-760	246	3	.	.	PUNCT
ap-760	246	4	,	,	PUNCT
ap-760	246	5	vol	vol	NOUN
ap-760	246	6	.	.	PROPN
ap-760	246	7	61	61	NUM
ap-760	246	8	(	(	PUNCT
ap-760	246	9	1940	1940	NUM
ap-760	246	10	)	)	PUNCT
ap-760	246	11	,	,	PUNCT
ap-760	246	12	p.	p.	PROPN
ap-760	246	13	1–42	1–42	PROPN
ap-760	246	14	.	.	PUNCT
ap-760	247	1	[	[	X
ap-760	247	2	5	5	NUM
ap-760	247	3	]	]	SYM
ap-760	247	4	venkov	venkov	NOUN
ap-760	247	5	,	,	PUNCT
ap-760	247	6	b.	b.	PROPN
ap-760	247	7	a.	a.	PROPN
ap-760	247	8	:	:	PUNCT
ap-760	247	9	elementary	elementary	ADJ
ap-760	247	10	number	number	NOUN
ap-760	247	11	theory	theory	NOUN
ap-760	247	12	,	,	PUNCT
ap-760	247	13	groningen	groningen	PROPN
ap-760	247	14	:	:	PUNCT
ap-760	247	15	wolters	wolters	PROPN
ap-760	247	16	-	-	PUNCT
ap-760	247	17	noordhoff	noordhoff	PROPN
ap-760	247	18	,	,	PUNCT
ap-760	247	19	1970	1970	NUM
ap-760	247	20	.	.	PUNCT
ap-760	248	1	[	[	X
ap-760	248	2	6	6	NUM
ap-760	248	3	]	]	X
ap-760	248	4	bernoulli	bernoulli	PROPN
ap-760	248	5	,	,	PUNCT
ap-760	248	6	j.	j.	PROPN
ap-760	248	7	:	:	PUNCT
ap-760	248	8	“	"	PUNCT
ap-760	248	9	sur	sur	X
ap-760	248	10	une	une	X
ap-760	248	11	nouvelle	nouvelle	PROPN
ap-760	248	12	espece	espece	PROPN
ap-760	248	13	de	de	PROPN
ap-760	248	14	calcul	calcul	PROPN
ap-760	248	15	.	.	PUNCT
ap-760	248	16	”	"	PUNCT
ap-760	249	1	receuil	receuil	PROPN
ap-760	249	2	pour	pour	VERB
ap-760	249	3	les	les	PROPN
ap-760	249	4	astronomes	astronome	NOUN
ap-760	249	5	,	,	PUNCT
ap-760	249	6	vols	vol	NOUN
ap-760	249	7	.	.	PUNCT
ap-760	250	1	1	1	NUM
ap-760	250	2	,	,	PUNCT
ap-760	250	3	2	2	NUM
ap-760	250	4	,	,	PUNCT
ap-760	250	5	berlin	berlin	PROPN
ap-760	250	6	,	,	PUNCT
ap-760	250	7	1772	1772	NUM
ap-760	250	8	.	.	PUNCT
ap-760	251	1	[	[	X
ap-760	251	2	7	7	NUM
ap-760	251	3	]	]	X
ap-760	251	4	markoff	markoff	NOUN
ap-760	251	5	,	,	PUNCT
ap-760	251	6	a.	a.	NOUN
ap-760	251	7	a.	a.	NOUN
ap-760	251	8	:	:	PUNCT
ap-760	251	9	“	"	PUNCT
ap-760	251	10	sur	sur	PROPN
ap-760	251	11	une	une	NOUN
ap-760	251	12	question	question	NOUN
ap-760	251	13	de	de	PROPN
ap-760	251	14	jean	jean	PROPN
ap-760	251	15	bernoulli	bernoulli	PROPN
ap-760	251	16	.	.	PUNCT
ap-760	251	17	”	"	PUNCT
ap-760	252	1	math	math	NOUN
ap-760	252	2	.	.	PUNCT
ap-760	253	1	ann	ann	PROPN
ap-760	253	2	.	.	PROPN
ap-760	253	3	,	,	PUNCT
ap-760	253	4	vol	vol	NOUN
ap-760	253	5	.	.	PROPN
ap-760	253	6	19	19	NUM
ap-760	253	7	(	(	PUNCT
ap-760	253	8	1882	1882	NUM
ap-760	253	9	)	)	PUNCT
ap-760	253	10	,	,	PUNCT
ap-760	253	11	p.	p.	NOUN
ap-760	253	12	27–36	27–36	NUM
ap-760	253	13	.	.	PUNCT
ap-760	254	1	[	[	X
ap-760	254	2	8	8	NUM
ap-760	254	3	]	]	X
ap-760	254	4	arnoux	arnoux	NOUN
ap-760	254	5	,	,	PUNCT
ap-760	254	6	p.	p.	NOUN
ap-760	254	7	,	,	PUNCT
ap-760	254	8	rauzy	rauzy	NOUN
ap-760	254	9	,	,	PUNCT
ap-760	254	10	g.	g.	NOUN
ap-760	254	11	:	:	PUNCT
ap-760	254	12	“	"	PUNCT
ap-760	254	13	représentation	représentation	VERB
ap-760	254	14	géométrique	géométrique	NOUN
ap-760	254	15	de	de	X
ap-760	254	16	suites	suite	NOUN
ap-760	254	17	de	de	X
ap-760	254	18	complexité	complexité	PROPN
ap-760	254	19	2n+1	2n+1	PROPN
ap-760	254	20	.	.	PUNCT
ap-760	254	21	”	"	PUNCT
ap-760	255	1	bull	bull	NOUN
ap-760	255	2	.	.	PUNCT
ap-760	256	1	soc	soc	PROPN
ap-760	256	2	.	.	PUNCT
ap-760	257	1	mat	mat	PROPN
ap-760	257	2	.	.	PROPN
ap-760	257	3	france	france	PROPN
ap-760	257	4	,	,	PUNCT
ap-760	257	5	vol	vol	NOUN
ap-760	257	6	.	.	PROPN
ap-760	258	1	119	119	NUM
ap-760	258	2	(	(	PUNCT
ap-760	258	3	1991	1991	NUM
ap-760	258	4	)	)	PUNCT
ap-760	258	5	,	,	PUNCT
ap-760	259	1	p.	p.	NOUN
ap-760	259	2	199–215	199–215	NUM
ap-760	259	3	.	.	PUNCT
ap-760	260	1	[	[	X
ap-760	260	2	9	9	NUM
ap-760	260	3	]	]	PUNCT
ap-760	260	4	coven	coven	NOUN
ap-760	260	5	,	,	PUNCT
ap-760	260	6	e.	e.	PROPN
ap-760	260	7	m.	m.	PROPN
ap-760	260	8	:	:	PUNCT
ap-760	260	9	“	"	PUNCT
ap-760	260	10	sequences	sequence	NOUN
ap-760	260	11	with	with	ADP
ap-760	260	12	minimal	minimal	ADJ
ap-760	260	13	block	block	NOUN
ap-760	260	14	growth	growth	NOUN
ap-760	260	15	ii	ii	PROPN
ap-760	260	16	.	.	PUNCT
ap-760	260	17	”	"	PUNCT
ap-760	260	18	math	math	NOUN
ap-760	260	19	.	.	PUNCT
ap-760	261	1	sys	sys	PROPN
ap-760	261	2	.	.	PROPN
ap-760	262	1	theory	theory	NOUN
ap-760	262	2	,	,	PUNCT
ap-760	262	3	vol	vol	NOUN
ap-760	262	4	.	.	PROPN
ap-760	262	5	8	8	NUM
ap-760	262	6	(	(	PUNCT
ap-760	262	7	1973	1973	NUM
ap-760	262	8	)	)	PUNCT
ap-760	262	9	,	,	PUNCT
ap-760	263	1	p.	p.	NOUN
ap-760	263	2	376–382	376–382	NUM
ap-760	263	3	.	.	PUNCT
ap-760	264	1	[	[	X
ap-760	264	2	10	10	NUM
ap-760	264	3	]	]	PUNCT
ap-760	264	4	crips	crip	NOUN
ap-760	264	5	,	,	PUNCT
ap-760	264	6	d.	d.	PROPN
ap-760	264	7	et	et	PROPN
ap-760	264	8	al	al	PROPN
ap-760	264	9	.	.	PROPN
ap-760	264	10	:	:	PUNCT
ap-760	264	11	“	"	PUNCT
ap-760	264	12	substitution	substitution	NOUN
ap-760	264	13	invariant	invariant	ADJ
ap-760	264	14	cutting	cut	VERB
ap-760	264	15	sequences	sequence	NOUN
ap-760	264	16	.	.	PUNCT
ap-760	264	17	”	"	PUNCT
ap-760	265	1	j.	j.	PROPN
ap-760	265	2	de	de	PROPN
ap-760	265	3	th	th	PROPN
ap-760	265	4	.	.	PUNCT
ap-760	265	5	des	des	PROPN
ap-760	265	6	nom	nom	PROPN
ap-760	265	7	.	.	PROPN
ap-760	265	8	de	de	X
ap-760	265	9	bordeaux	bordeaux	NOUN
ap-760	265	10	,	,	PUNCT
ap-760	265	11	vol	vol	NOUN
ap-760	265	12	.	.	PROPN
ap-760	265	13	5	5	NUM
ap-760	265	14	(	(	PUNCT
ap-760	265	15	1993	1993	NUM
ap-760	265	16	)	)	PUNCT
ap-760	265	17	,	,	PUNCT
ap-760	265	18	p.	p.	NOUN
ap-760	265	19	123–137	123–137	NUM
ap-760	265	20	.	.	PUNCT
ap-760	266	1	[	[	X
ap-760	266	2	11	11	NUM
ap-760	266	3	]	]	PUNCT
ap-760	266	4	adamczewski	adamczewski	PROPN
ap-760	266	5	,	,	PUNCT
ap-760	266	6	b.	b.	PROPN
ap-760	266	7	:	:	PUNCT
ap-760	266	8	“	"	PUNCT
ap-760	266	9	codages	codage	NOUN
ap-760	266	10	de	de	ADP
ap-760	266	11	rotations	rotation	NOUN
ap-760	266	12	et	et	NOUN
ap-760	266	13	phénompnes	phénompne	VERB
ap-760	266	14	d’autosimilarité	d’autosimilarité	VERB
ap-760	266	15	.	.	PUNCT
ap-760	266	16	”	"	PUNCT
ap-760	267	1	j.	j.	PROPN
ap-760	267	2	de	de	PROPN
ap-760	267	3	th	th	PROPN
ap-760	267	4	.	.	PUNCT
ap-760	267	5	des	des	PROPN
ap-760	267	6	nom	nom	PROPN
ap-760	267	7	.	.	PROPN
ap-760	267	8	de	de	X
ap-760	267	9	bordeaux	bordeaux	NOUN
ap-760	267	10	,	,	PUNCT
ap-760	267	11	vol	vol	NOUN
ap-760	267	12	.	.	PROPN
ap-760	267	13	14	14	NUM
ap-760	267	14	(	(	PUNCT
ap-760	267	15	2002	2002	NUM
ap-760	267	16	)	)	PUNCT
ap-760	267	17	,	,	PUNCT
ap-760	267	18	p.	p.	NOUN
ap-760	267	19	351–386	351–386	NUM
ap-760	267	20	.	.	PUNCT
ap-760	268	1	[	[	X
ap-760	268	2	12	12	NUM
ap-760	268	3	]	]	X
ap-760	268	4	alessandri	alessandri	PROPN
ap-760	268	5	,	,	PUNCT
ap-760	268	6	b.	b.	PROPN
ap-760	268	7	,	,	PUNCT
ap-760	268	8	berthé	berthé	ADJ
ap-760	268	9	,	,	PUNCT
ap-760	268	10	v.	v.	ADV
ap-760	268	11	:	:	PUNCT
ap-760	268	12	“	"	PUNCT
ap-760	268	13	three	three	NUM
ap-760	268	14	distance	distance	NOUN
ap-760	268	15	theorems	theorem	NOUN
ap-760	268	16	and	and	CCONJ
ap-760	268	17	combinatorics	combinatoric	NOUN
ap-760	268	18	on	on	ADP
ap-760	268	19	words	word	NOUN
ap-760	268	20	.	.	PUNCT
ap-760	268	21	”	"	PUNCT
ap-760	269	1	l’enseignement	l’enseignement	PROPN
ap-760	269	2	mat	mat	NOUN
ap-760	269	3	.	.	PROPN
ap-760	269	4	,	,	PUNCT
ap-760	269	5	vol	vol	NOUN
ap-760	269	6	.	.	PROPN
ap-760	269	7	44	44	NUM
ap-760	269	8	(	(	PUNCT
ap-760	269	9	1998	1998	NUM
ap-760	269	10	)	)	PUNCT
ap-760	269	11	,	,	PUNCT
ap-760	270	1	p.	p.	NOUN
ap-760	270	2	103–132	103–132	NUM
ap-760	270	3	.	.	PUNCT
ap-760	271	1	[	[	X
ap-760	271	2	13	13	NUM
ap-760	271	3	]	]	SYM
ap-760	271	4	ferenczi	ferenczi	NOUN
ap-760	271	5	,	,	PUNCT
ap-760	271	6	s.	s.	PROPN
ap-760	271	7	et	et	PROPN
ap-760	271	8	al	al	PROPN
ap-760	271	9	.	.	PROPN
ap-760	271	10	:	:	PUNCT
ap-760	271	11	“	"	PUNCT
ap-760	271	12	structure	structure	NOUN
ap-760	271	13	of	of	ADP
ap-760	271	14	three	three	NUM
ap-760	271	15	interval	interval	NOUN
ap-760	271	16	exchange	exchange	NOUN
ap-760	271	17	transformations	transformation	NOUN
ap-760	271	18	i	i	PRON
ap-760	271	19	:	:	PUNCT
ap-760	271	20	an	an	DET
ap-760	271	21	arithmetic	arithmetic	ADJ
ap-760	271	22	study	study	NOUN
ap-760	271	23	ann	ann	PROPN
ap-760	271	24	.	.	PROPN
ap-760	271	25	inst	inst	PROPN
ap-760	271	26	.	.	PUNCT
ap-760	272	1	fourier	fourier	PROPN
ap-760	272	2	,	,	PUNCT
ap-760	272	3	vol	vol	NOUN
ap-760	272	4	.	.	PROPN
ap-760	273	1	51	51	NUM
ap-760	273	2	(	(	PUNCT
ap-760	273	3	2001	2001	NUM
ap-760	273	4	)	)	PUNCT
ap-760	273	5	,	,	PUNCT
ap-760	273	6	p.	p.	NOUN
ap-760	273	7	861–901	861–901	NUM
ap-760	273	8	.	.	PUNCT
ap-760	274	1	[	[	X
ap-760	274	2	14	14	NUM
ap-760	274	3	]	]	X
ap-760	274	4	lunnon	lunnon	PROPN
ap-760	274	5	,	,	PUNCT
ap-760	274	6	w.	w.	PROPN
ap-760	274	7	f.	f.	PROPN
ap-760	274	8	,	,	PUNCT
ap-760	274	9	pleasants	pleasants	PROPN
ap-760	274	10	,	,	PUNCT
ap-760	274	11	p.	p.	PROPN
ap-760	274	12	a.	a.	PROPN
ap-760	274	13	b.	b.	PROPN
ap-760	274	14	:	:	PUNCT
ap-760	274	15	“	"	PUNCT
ap-760	274	16	characterization	characterization	NOUN
ap-760	274	17	of	of	ADP
ap-760	274	18	two	two	NUM
ap-760	274	19	-	-	PUNCT
ap-760	274	20	distance	distance	NOUN
ap-760	274	21	sequences	sequence	NOUN
ap-760	274	22	.	.	PUNCT
ap-760	274	23	”	"	PUNCT
ap-760	275	1	j.	j.	PROPN
ap-760	275	2	austral	austral	PROPN
ap-760	275	3	.	.	PUNCT
ap-760	276	1	math	math	NOUN
ap-760	276	2	.	.	PUNCT
ap-760	277	1	soc	soc	PROPN
ap-760	277	2	.	.	PUNCT
ap-760	278	1	,	,	PUNCT
ap-760	278	2	vol	vol	NOUN
ap-760	278	3	.	.	PROPN
ap-760	279	1	53	53	NUM
ap-760	279	2	(	(	PUNCT
ap-760	279	3	1992	1992	NUM
ap-760	279	4	)	)	PUNCT
ap-760	279	5	,	,	PUNCT
ap-760	280	1	p.	p.	NOUN
ap-760	280	2	198–218	198–218	NUM
ap-760	280	3	.	.	PUNCT
ap-760	281	1	[	[	X
ap-760	281	2	15	15	NUM
ap-760	281	3	]	]	X
ap-760	281	4	vuillon	vuillon	NOUN
ap-760	281	5	,	,	PUNCT
ap-760	281	6	l.	l.	PROPN
ap-760	281	7	:	:	PUNCT
ap-760	281	8	“	"	PUNCT
ap-760	281	9	a	a	DET
ap-760	281	10	characterization	characterization	NOUN
ap-760	281	11	of	of	ADP
ap-760	281	12	sturmian	sturmian	ADJ
ap-760	281	13	words	word	NOUN
ap-760	281	14	by	by	ADP
ap-760	281	15	return	return	NOUN
ap-760	281	16	words	word	NOUN
ap-760	281	17	.	.	PUNCT
ap-760	281	18	”	"	PUNCT
ap-760	282	1	european	european	PROPN
ap-760	282	2	j.	j.	PROPN
ap-760	282	3	combin	combin	PROPN
ap-760	282	4	.	.	PROPN
ap-760	282	5	,	,	PUNCT
ap-760	282	6	vol	vol	NOUN
ap-760	282	7	.	.	PROPN
ap-760	282	8	22	22	NUM
ap-760	282	9	(	(	PUNCT
ap-760	282	10	2001	2001	NUM
ap-760	282	11	)	)	PUNCT
ap-760	282	12	,	,	PUNCT
ap-760	283	1	p.	p.	NOUN
ap-760	283	2	263–275	263–275	NUM
ap-760	283	3	.	.	PUNCT
ap-760	284	1	[	[	X
ap-760	284	2	16	16	NUM
ap-760	284	3	]	]	PUNCT
ap-760	284	4	droubay	droubay	NOUN
ap-760	284	5	,	,	PUNCT
ap-760	284	6	x.	x.	PROPN
ap-760	284	7	,	,	PUNCT
ap-760	284	8	pirillo	pirillo	PROPN
ap-760	284	9	,	,	PUNCT
ap-760	284	10	g.	g.	NOUN
ap-760	284	11	:	:	PUNCT
ap-760	284	12	“	"	PUNCT
ap-760	284	13	palindromes	palindrome	NOUN
ap-760	284	14	and	and	CCONJ
ap-760	284	15	sturmian	sturmian	NOUN
ap-760	284	16	words	word	NOUN
ap-760	284	17	.	.	PUNCT
ap-760	284	18	”	"	PUNCT
ap-760	285	1	theoret	theoret	ADJ
ap-760	285	2	.	.	PUNCT
ap-760	286	1	comput	comput	NOUN
ap-760	286	2	.	.	PUNCT
ap-760	287	1	sci	sci	PROPN
ap-760	287	2	.	.	PROPN
ap-760	287	3	,	,	PUNCT
ap-760	287	4	vol	vol	NOUN
ap-760	287	5	.	.	PROPN
ap-760	287	6	223	223	NUM
ap-760	287	7	(	(	PUNCT
ap-760	287	8	1999	1999	NUM
ap-760	287	9	)	)	PUNCT
ap-760	287	10	,	,	PUNCT
ap-760	287	11	p.	p.	NOUN
ap-760	287	12	73–85	73–85	PROPN
ap-760	287	13	.	.	PUNCT
ap-760	288	1	[	[	X
ap-760	288	2	17	17	NUM
ap-760	288	3	]	]	PUNCT
ap-760	288	4	droubay	droubay	NOUN
ap-760	288	5	,	,	PUNCT
ap-760	288	6	x.	x.	PROPN
ap-760	288	7	et	et	PROPN
ap-760	288	8	al	al	PROPN
ap-760	288	9	.	.	PROPN
ap-760	288	10	:	:	PUNCT
ap-760	289	1	“	"	PUNCT
ap-760	289	2	episturmian	episturmian	ADJ
ap-760	289	3	words	word	NOUN
ap-760	289	4	and	and	CCONJ
ap-760	289	5	some	some	DET
ap-760	289	6	constructions	construction	NOUN
ap-760	289	7	of	of	ADP
ap-760	289	8	de	de	X
ap-760	289	9	luca	luca	PROPN
ap-760	289	10	and	and	CCONJ
ap-760	289	11	rauzy	rauzy	NOUN
ap-760	289	12	.	.	PUNCT
ap-760	289	13	”	"	PUNCT
ap-760	289	14	theoret	theoret	ADJ
ap-760	289	15	.	.	PUNCT
ap-760	290	1	comput	comput	NOUN
ap-760	290	2	.	.	PUNCT
ap-760	291	1	sci	sci	PROPN
ap-760	291	2	.	.	PROPN
ap-760	291	3	,	,	PUNCT
ap-760	291	4	vol	vol	NOUN
ap-760	291	5	.	.	PROPN
ap-760	291	6	225	225	NUM
ap-760	291	7	(	(	PUNCT
ap-760	291	8	2001	2001	NUM
ap-760	291	9	)	)	PUNCT
ap-760	291	10	,	,	PUNCT
ap-760	292	1	p.	p.	NOUN
ap-760	292	2	539–553	539–553	NUM
ap-760	292	3	.	.	PUNCT
ap-760	293	1	[	[	X
ap-760	293	2	18	18	NUM
ap-760	293	3	]	]	SYM
ap-760	293	4	guimond	guimond	NOUN
ap-760	293	5	,	,	PUNCT
ap-760	293	6	l.	l.	PROPN
ap-760	293	7	s.	s.	PROPN
ap-760	293	8	et	et	PROPN
ap-760	293	9	al	al	PROPN
ap-760	293	10	.	.	PROPN
ap-760	293	11	:	:	PUNCT
ap-760	293	12	“	"	PUNCT
ap-760	293	13	combinatorial	combinatorial	ADJ
ap-760	293	14	properties	property	NOUN
ap-760	293	15	of	of	ADP
ap-760	293	16	infinite	infinite	ADJ
ap-760	293	17	words	word	NOUN
ap-760	293	18	associated	associate	VERB
ap-760	293	19	with	with	ADP
ap-760	293	20	cut	cut	VERB
ap-760	293	21	-	-	PUNCT
ap-760	293	22	and	and	CCONJ
ap-760	293	23	-	-	PUNCT
ap-760	293	24	project	project	NOUN
ap-760	293	25	sequences	sequence	NOUN
ap-760	293	26	.	.	PUNCT
ap-760	293	27	”	"	PUNCT
ap-760	294	1	j.	j.	PROPN
ap-760	294	2	de	de	PROPN
ap-760	294	3	th	th	PROPN
ap-760	294	4	.	.	PUNCT
ap-760	294	5	des	des	PROPN
ap-760	294	6	nom	nom	PROPN
ap-760	294	7	.	.	PROPN
ap-760	294	8	de	de	X
ap-760	294	9	bordeaux	bordeaux	NOUN
ap-760	294	10	,	,	PUNCT
ap-760	294	11	vol	vol	NOUN
ap-760	294	12	.	.	PROPN
ap-760	294	13	15	15	NUM
ap-760	294	14	(	(	PUNCT
ap-760	294	15	2003	2003	NUM
ap-760	294	16	)	)	PUNCT
ap-760	294	17	,	,	PUNCT
ap-760	294	18	p.	p.	NOUN
ap-760	294	19	697–725	697–725	NUM
ap-760	294	20	.	.	PUNCT
ap-760	295	1	[	[	X
ap-760	295	2	19	19	NUM
ap-760	295	3	]	]	X
ap-760	295	4	baláži	baláži	NOUN
ap-760	295	5	,	,	PUNCT
ap-760	295	6	p.	p.	NOUN
ap-760	295	7	:	:	PUNCT
ap-760	295	8	“	"	PUNCT
ap-760	295	9	infinite	infinite	ADJ
ap-760	295	10	words	word	NOUN
ap-760	295	11	coding	code	VERB
ap-760	295	12	3	3	NUM
ap-760	295	13	-	-	PUNCT
ap-760	295	14	interval	interval	NOUN
ap-760	295	15	exchange	exchange	NOUN
ap-760	295	16	.	.	PUNCT
ap-760	295	17	”	"	PUNCT
ap-760	296	1	diploma	diploma	NOUN
ap-760	296	2	work	work	NOUN
ap-760	296	3	,	,	PUNCT
ap-760	296	4	2003	2003	NUM
ap-760	296	5	.	.	PUNCT
ap-760	297	1	[	[	X
ap-760	297	2	20	20	NUM
ap-760	297	3	]	]	PUNCT
ap-760	297	4	masáková	masáková	NOUN
ap-760	297	5	,	,	PUNCT
ap-760	297	6	z.	z.	PROPN
ap-760	297	7	et	et	PROPN
ap-760	297	8	al	al	PROPN
ap-760	297	9	.	.	PROPN
ap-760	297	10	:	:	PUNCT
ap-760	297	11	“	"	PUNCT
ap-760	297	12	substitution	substitution	NOUN
ap-760	297	13	rules	rule	NOUN
ap-760	297	14	for	for	ADP
ap-760	297	15	aperiodic	aperiodic	ADJ
ap-760	297	16	sequences	sequence	NOUN
ap-760	297	17	of	of	ADP
ap-760	297	18	cut	cut	NOUN
ap-760	297	19	and	and	CCONJ
ap-760	297	20	project	project	NOUN
ap-760	297	21	type	type	NOUN
ap-760	297	22	.	.	PUNCT
ap-760	297	23	”	"	PUNCT
ap-760	298	1	j.	j.	PROPN
ap-760	298	2	of	of	ADP
ap-760	298	3	phys	phys	PROPN
ap-760	298	4	.	.	PUNCT
ap-760	299	1	a	a	DET
ap-760	299	2	:	:	PUNCT
ap-760	299	3	math	math	NOUN
ap-760	299	4	.	.	PUNCT
ap-760	300	1	gen	gen	PROPN
ap-760	300	2	.	.	PROPN
ap-760	300	3	,	,	PUNCT
ap-760	300	4	vol	vol	NOUN
ap-760	300	5	.	.	PROPN
ap-760	301	1	33	33	NUM
ap-760	301	2	(	(	PUNCT
ap-760	301	3	2000	2000	NUM
ap-760	301	4	)	)	PUNCT
ap-760	301	5	,	,	PUNCT
ap-760	301	6	p.	p.	NOUN
ap-760	301	7	8867–8886	8867–8886	NUM
ap-760	301	8	.	.	PUNCT
ap-760	302	1	[	[	X
ap-760	302	2	21	21	NUM
ap-760	302	3	]	]	X
ap-760	302	4	brown	brown	ADJ
ap-760	302	5	,	,	PUNCT
ap-760	302	6	t.	t.	PROPN
ap-760	302	7	c.	c.	PROPN
ap-760	302	8	:	:	PUNCT
ap-760	302	9	“	"	PUNCT
ap-760	302	10	a	a	DET
ap-760	302	11	characterization	characterization	NOUN
ap-760	302	12	of	of	ADP
ap-760	302	13	the	the	DET
ap-760	302	14	quadratic	quadratic	ADJ
ap-760	302	15	irrationals	irrational	NOUN
ap-760	302	16	.	.	PUNCT
ap-760	302	17	”	"	PUNCT
ap-760	303	1	canad	canad	PROPN
ap-760	303	2	.	.	PUNCT
ap-760	304	1	math	math	NOUN
ap-760	304	2	.	.	PUNCT
ap-760	305	1	bull	bull	PROPN
ap-760	305	2	.	.	PUNCT
ap-760	305	3	,	,	PUNCT
ap-760	305	4	vol	vol	NOUN
ap-760	305	5	.	.	PUNCT
ap-760	306	1	34	34	NUM
ap-760	306	2	(	(	PUNCT
ap-760	306	3	1991	1991	NUM
ap-760	306	4	)	)	PUNCT
ap-760	306	5	,	,	PUNCT
ap-760	307	1	p.	p.	NOUN
ap-760	307	2	36–41	36–41	NUM
ap-760	307	3	.	.	PUNCT
ap-760	308	1	[	[	X
ap-760	308	2	22	22	NUM
ap-760	308	3	]	]	X
ap-760	308	4	baláži	baláži	NOUN
ap-760	308	5	,	,	PUNCT
ap-760	308	6	p.	p.	NOUN
ap-760	308	7	:	:	PUNCT
ap-760	308	8	“	"	PUNCT
ap-760	308	9	jednoduchá	jednoduchá	PROPN
ap-760	308	10	charakteristika	charakteristika	PROPN
ap-760	308	11	sturmových	sturmových	PROPN
ap-760	308	12	čísiel	čísiel	PROPN
ap-760	308	13	.	.	PUNCT
ap-760	308	14	”	"	PUNCT
ap-760	309	1	proc	proc	NOUN
ap-760	309	2	.	.	PUNCT
ap-760	310	1	of	of	ADP
ap-760	310	2	9th	9th	ADJ
ap-760	310	3	math	math	NOUN
ap-760	310	4	.	.	PUNCT
ap-760	311	1	conf	conf	PROPN
ap-760	311	2	.	.	PUNCT
ap-760	311	3	of	of	ADP
ap-760	311	4	tech	tech	NOUN
ap-760	311	5	.	.	PUNCT
ap-760	312	1	uni	uni	PROPN
ap-760	312	2	.	.	PROPN
ap-760	312	3	,	,	PUNCT
ap-760	312	4	2001	2001	NUM
ap-760	312	5	,	,	PUNCT
ap-760	312	6	p.	p.	PROPN
ap-760	312	7	5–15	5–15	PROPN
ap-760	312	8	.	.	PUNCT
ap-760	313	1	[	[	X
ap-760	313	2	23	23	NUM
ap-760	313	3	]	]	X
ap-760	313	4	allauzen	allauzen	NOUN
ap-760	313	5	,	,	PUNCT
ap-760	313	6	c.	c.	NOUN
ap-760	313	7	:	:	PUNCT
ap-760	313	8	“	"	PUNCT
ap-760	313	9	une	une	X
ap-760	313	10	charactérisation	charactérisation	NOUN
ap-760	313	11	simple	simple	ADJ
ap-760	313	12	des	des	PROPN
ap-760	313	13	nombres	nombres	PROPN
ap-760	313	14	de	de	PROPN
ap-760	313	15	sturm	sturm	PROPN
ap-760	313	16	.	.	PUNCT
ap-760	313	17	”	"	PUNCT
ap-760	314	1	j.	j.	PROPN
ap-760	314	2	de	de	PROPN
ap-760	314	3	th	th	PROPN
ap-760	314	4	.	.	PUNCT
ap-760	314	5	des	des	PROPN
ap-760	314	6	nom	nom	PROPN
ap-760	314	7	.	.	PROPN
ap-760	314	8	de	de	X
ap-760	314	9	bordeaux	bordeaux	NOUN
ap-760	314	10	,	,	PUNCT
ap-760	314	11	vol	vol	NOUN
ap-760	314	12	.	.	PROPN
ap-760	314	13	10	10	NUM
ap-760	314	14	(	(	PUNCT
ap-760	314	15	1998	1998	NUM
ap-760	314	16	)	)	PUNCT
ap-760	314	17	,	,	PUNCT
ap-760	314	18	p.	p.	NOUN
ap-760	314	19	237–241	237–241	NUM
ap-760	314	20	.	.	PUNCT
ap-760	315	1	[	[	X
ap-760	315	2	24	24	NUM
ap-760	315	3	]	]	PUNCT
ap-760	315	4	parvaix	parvaix	NOUN
ap-760	315	5	,	,	PUNCT
ap-760	315	6	b.	b.	PROPN
ap-760	315	7	:	:	PUNCT
ap-760	315	8	“	"	PUNCT
ap-760	315	9	substitution	substitution	NOUN
ap-760	315	10	invariant	invariant	ADJ
ap-760	315	11	sturmian	sturmian	NOUN
ap-760	315	12	bisequences	bisequence	NOUN
ap-760	315	13	.	.	PUNCT
ap-760	315	14	”	"	PUNCT
ap-760	315	15	j.	j.	PROPN
ap-760	315	16	de	de	PROPN
ap-760	315	17	th	th	PROPN
ap-760	315	18	.	.	PUNCT
ap-760	315	19	des	des	PROPN
ap-760	315	20	nom	nom	PROPN
ap-760	315	21	.	.	PROPN
ap-760	315	22	de	de	X
ap-760	315	23	bordeaux	bordeaux	NOUN
ap-760	315	24	,	,	PUNCT
ap-760	315	25	vol	vol	NOUN
ap-760	315	26	.	.	PROPN
ap-760	315	27	11	11	NUM
ap-760	315	28	(	(	PUNCT
ap-760	315	29	1999	1999	NUM
ap-760	315	30	)	)	PUNCT
ap-760	315	31	,	,	PUNCT
ap-760	315	32	p.	p.	NOUN
ap-760	315	33	201–210	201–210	NUM
ap-760	315	34	.	.	PUNCT
ap-760	316	1	[	[	X
ap-760	316	2	25	25	NUM
ap-760	316	3	]	]	PUNCT
ap-760	316	4	yasutomi	yasutomi	NOUN
ap-760	316	5	,	,	PUNCT
ap-760	316	6	s.	s.	PROPN
ap-760	316	7	:	:	PUNCT
ap-760	316	8	“	"	PUNCT
ap-760	316	9	on	on	ADP
ap-760	316	10	sturmian	sturmian	NOUN
ap-760	316	11	sequences	sequence	NOUN
ap-760	316	12	which	which	PRON
ap-760	316	13	are	be	AUX
ap-760	316	14	invariant	invariant	ADJ
ap-760	316	15	under	under	ADP
ap-760	316	16	some	some	DET
ap-760	316	17	substitutions	substitution	NOUN
ap-760	316	18	.	.	PUNCT
ap-760	316	19	”	"	PUNCT
ap-760	316	20	number	number	NOUN
ap-760	316	21	theory	theory	NOUN
ap-760	316	22	and	and	CCONJ
ap-760	316	23	its	its	PRON
ap-760	316	24	applications	application	NOUN
ap-760	316	25	,	,	PUNCT
ap-760	316	26	vol	vol	NOUN
ap-760	316	27	.	.	PROPN
ap-760	316	28	2	2	NUM
ap-760	316	29	(	(	PUNCT
ap-760	316	30	1999	1999	NUM
ap-760	316	31	)	)	PUNCT
ap-760	316	32	,	,	PUNCT
ap-760	317	1	p.	p.	NOUN
ap-760	317	2	347–373	347–373	NUM
ap-760	317	3	.	.	PUNCT
ap-760	318	1	[	[	X
ap-760	318	2	26	26	NUM
ap-760	318	3	]	]	X
ap-760	318	4	berthé	berthé	ADJ
ap-760	318	5	,	,	PUNCT
ap-760	318	6	v.	v.	ADP
ap-760	318	7	et	et	PROPN
ap-760	318	8	al	al	PROPN
ap-760	318	9	.	.	PROPN
ap-760	318	10	:	:	PUNCT
ap-760	319	1	invertible	invertible	ADJ
ap-760	319	2	substitutions	substitution	NOUN
ap-760	319	3	and	and	CCONJ
ap-760	319	4	sturmian	sturmian	NOUN
ap-760	319	5	words	word	NOUN
ap-760	319	6	:	:	PUNCT
ap-760	319	7	an	an	DET
ap-760	319	8	application	application	NOUN
ap-760	319	9	of	of	ADP
ap-760	319	10	rauzy	rauzy	NOUN
ap-760	319	11	fractals	fractal	NOUN
ap-760	319	12	,	,	PUNCT
ap-760	319	13	preprint	preprint	NOUN
ap-760	319	14	2003	2003	NUM
ap-760	319	15	.	.	PUNCT
ap-760	320	1	[	[	X
ap-760	320	2	27	27	NUM
ap-760	320	3	]	]	X
ap-760	320	4	baláži	baláži	NOUN
ap-760	320	5	,	,	PUNCT
ap-760	320	6	p.	p.	NOUN
ap-760	320	7	et	et	NOUN
ap-760	321	1	al	al	PROPN
ap-760	321	2	.	.	PROPN
ap-760	321	3	:	:	PUNCT
ap-760	321	4	“	"	PUNCT
ap-760	321	5	complete	complete	ADJ
ap-760	321	6	characterization	characterization	NOUN
ap-760	321	7	of	of	ADP
ap-760	321	8	substitution	substitution	NOUN
ap-760	321	9	invariant	invariant	ADJ
ap-760	321	10	sturmian	sturmian	NOUN
ap-760	321	11	sequences	sequence	NOUN
ap-760	321	12	.	.	PUNCT
ap-760	321	13	”	"	PUNCT
ap-760	322	1	to	to	PART
ap-760	322	2	appear	appear	VERB
ap-760	322	3	in	in	ADP
ap-760	322	4	integers	integer	NOUN
ap-760	322	5	,	,	PUNCT
ap-760	322	6	2005	2005	NUM
ap-760	322	7	.	.	PUNCT
ap-760	323	1	[	[	X
ap-760	323	2	28	28	NUM
ap-760	323	3	]	]	PUNCT
ap-760	323	4	damanik	damanik	PROPN
ap-760	323	5	d.	d.	PROPN
ap-760	323	6	,	,	PUNCT
ap-760	323	7	zamboni	zamboni	PROPN
ap-760	323	8	l.	l.	PROPN
ap-760	323	9	q	q	PROPN
ap-760	323	10	:	:	PUNCT
ap-760	323	11	arnoux	arnoux	NOUN
ap-760	323	12	-	-	PUNCT
ap-760	323	13	rauzy	rauzy	NOUN
ap-760	323	14	subshifts	subshift	NOUN
ap-760	323	15	:	:	PUNCT
ap-760	323	16	linear	linear	ADJ
ap-760	323	17	recurrences	recurrence	NOUN
ap-760	323	18	,	,	PUNCT
ap-760	323	19	powers	power	NOUN
ap-760	323	20	,	,	PUNCT
ap-760	323	21	and	and	CCONJ
ap-760	323	22	palindromes	palindrome	NOUN
ap-760	323	23	,	,	PUNCT
ap-760	323	24	arxiv	arxiv	NOUN
ap-760	323	25	:	:	PUNCT
ap-760	323	26	math	math	NOUN
ap-760	323	27	.	.	PUNCT
ap-760	324	1	co/0208137v1	co/0208137v1	NOUN
ap-760	324	2	.	.	PUNCT
ap-760	325	1	[	[	X
ap-760	325	2	29	29	NUM
ap-760	325	3	]	]	X
ap-760	325	4	berstel	berstel	NOUN
ap-760	325	5	,	,	PUNCT
ap-760	325	6	j.	j.	PROPN
ap-760	325	7	:	:	PUNCT
ap-760	325	8	“	"	PUNCT
ap-760	325	9	recent	recent	ADJ
ap-760	325	10	results	result	NOUN
ap-760	325	11	on	on	ADP
ap-760	325	12	extensions	extension	NOUN
ap-760	325	13	of	of	ADP
ap-760	325	14	sturmian	sturmian	NOUN
ap-760	325	15	words	word	NOUN
ap-760	325	16	.	.	PUNCT
ap-760	325	17	”	"	PUNCT
ap-760	326	1	internat	internat	PROPN
ap-760	326	2	.	.	PUNCT
ap-760	327	1	j.	j.	PROPN
ap-760	327	2	algebra	algebra	PROPN
ap-760	327	3	comput	comput	PROPN
ap-760	327	4	.	.	PUNCT
ap-760	327	5	,	,	PUNCT
ap-760	327	6	vol	vol	NOUN
ap-760	327	7	.	.	PROPN
ap-760	327	8	12	12	NUM
ap-760	327	9	(	(	PUNCT
ap-760	327	10	2002	2002	NUM
ap-760	327	11	)	)	PUNCT
ap-760	327	12	,	,	PUNCT
ap-760	327	13	p.	p.	NOUN
ap-760	327	14	371–385	371–385	NUM
ap-760	327	15	.	.	PUNCT
ap-760	328	1	ing	ing	ADJ
ap-760	328	2	.	.	PUNCT
ap-760	329	1	peter	peter	PROPN
ap-760	329	2	baláži	baláži	PROPN
ap-760	329	3	e	e	NOUN
ap-760	330	1	-	-	NOUN
ap-760	330	2	mail	mail	NOUN
ap-760	330	3	:	:	PUNCT
ap-760	330	4	balazi@km1.fjfi.cvut.cz	balazi@km1.fjfi.cvut.cz	PROPN
ap-760	330	5	department	department	PROPN
ap-760	330	6	of	of	ADP
ap-760	330	7	mathematics	mathematics	PROPN
ap-760	330	8	czech	czech	PROPN
ap-760	330	9	technical	technical	PROPN
ap-760	330	10	university	university	PROPN
ap-760	330	11	in	in	ADP
ap-760	330	12	prague	prague	PROPN
ap-760	330	13	faculty	faculty	NOUN
ap-760	330	14	of	of	ADP
ap-760	330	15	nuclear	nuclear	ADJ
ap-760	330	16	sciences	science	NOUN
ap-760	330	17	and	and	CCONJ
ap-760	330	18	physical	physical	ADJ
ap-760	330	19	engineering	engineering	NOUN
ap-760	330	20	trojanova	trojanova	ADP
ap-760	330	21	13	13	NUM
ap-760	330	22	120	120	NUM
ap-760	330	23	00	00	NUM
ap-760	330	24	prague	prague	NOUN
ap-760	330	25	2	2	NUM
ap-760	330	26	,	,	PUNCT
ap-760	330	27	czech	czech	PROPN
ap-760	330	28	republic	republic	NOUN
ap-760	330	29	©	©	PROPN
ap-760	330	30	czech	czech	PROPN
ap-760	330	31	technical	technical	PROPN
ap-760	330	32	university	university	PROPN
ap-760	330	33	publishing	publishing	NOUN
ap-760	330	34	house	house	NOUN
ap-760	330	35	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-760	330	36	23	23	NUM
ap-760	330	37	czech	czech	PROPN
ap-760	330	38	technical	technical	PROPN
ap-760	330	39	university	university	PROPN
ap-760	330	40	in	in	ADP
ap-760	330	41	prague	prague	PROPN
ap-760	330	42	acta	acta	PROPN
ap-760	330	43	polytechnica	polytechnica	PROPN
ap-760	330	44	vol	vol	NOUN
ap-760	330	45	.	.	PROPN
ap-760	331	1	45	45	NUM
ap-760	331	2	no	no	NOUN
ap-760	331	3	.	.	PUNCT
ap-760	332	1	5/2005	5/2005	NUM