id	sid	tid	token	lemma	pos
ap-1420	1	1	acta	acta	PROPN
ap-1420	1	2	polytechnica	polytechnica	PROPN
ap-1420	1	3	vol	vol	NOUN
ap-1420	1	4	.	.	PUNCT
ap-1420	2	1	51	51	NUM
ap-1420	2	2	no	no	INTJ
ap-1420	2	3	.	.	PUNCT
ap-1420	3	1	4/2011	4/2011	NUM
ap-1420	4	1	the	the	DET
ap-1420	4	2	horizons	horizon	NOUN
ap-1420	4	3	of	of	ADP
ap-1420	4	4	observability	observability	NOUN
ap-1420	4	5	in	in	ADP
ap-1420	4	6	pt	pt	X
ap-1420	4	7	-symmetric	-symmetric	ADJ
ap-1420	4	8	four	four	NUM
ap-1420	4	9	-	-	PUNCT
ap-1420	4	10	site	site	NOUN
ap-1420	4	11	quantum	quantum	NOUN
ap-1420	4	12	lattices	lattice	NOUN
ap-1420	4	13	m.	m.	NOUN
ap-1420	4	14	znojil	znojil	PROPN
ap-1420	4	15	abstract	abstract	VERB
ap-1420	4	16	one	one	NUM
ap-1420	4	17	of	of	ADP
ap-1420	4	18	the	the	DET
ap-1420	4	19	key	key	ADJ
ap-1420	4	20	merits	merit	NOUN
ap-1420	4	21	of	of	ADP
ap-1420	4	22	pt	pt	NOUN
ap-1420	4	23	-symmetric	-symmetric	NOUN
ap-1420	4	24	(	(	PUNCT
ap-1420	4	25	i.e.	i.e.	X
ap-1420	4	26	,	,	PUNCT
ap-1420	4	27	parity	parity	NOUN
ap-1420	4	28	times	time	NOUN
ap-1420	4	29	time	time	NOUN
ap-1420	4	30	reversal	reversal	PROPN
ap-1420	4	31	symmetric	symmetric	ADJ
ap-1420	4	32	)	)	PUNCT
ap-1420	4	33	quantum	quantum	NOUN
ap-1420	4	34	hamiltonians	hamiltonian	NOUN
ap-1420	4	35	h	h	NOUN
ap-1420	4	36	lies	lie	VERB
ap-1420	4	37	in	in	ADP
ap-1420	4	38	the	the	DET
ap-1420	4	39	existence	existence	NOUN
ap-1420	4	40	of	of	ADP
ap-1420	4	41	a	a	DET
ap-1420	4	42	horizon	horizon	NOUN
ap-1420	4	43	of	of	ADP
ap-1420	4	44	the	the	DET
ap-1420	4	45	stability	stability	NOUN
ap-1420	4	46	of	of	ADP
ap-1420	4	47	the	the	DET
ap-1420	4	48	system	system	NOUN
ap-1420	4	49	.	.	PUNCT
ap-1420	5	1	mathematically	mathematically	ADV
ap-1420	5	2	speaking	speak	VERB
ap-1420	5	3	,	,	PUNCT
ap-1420	5	4	this	this	DET
ap-1420	5	5	horizon	horizon	NOUN
ap-1420	5	6	is	be	AUX
ap-1420	5	7	formed	form	VERB
ap-1420	5	8	by	by	ADP
ap-1420	5	9	the	the	DET
ap-1420	5	10	boundary	boundary	NOUN
ap-1420	5	11	of	of	ADP
ap-1420	5	12	the	the	DET
ap-1420	5	13	domain	domain	NOUN
ap-1420	5	14	d(h	d(h	PROPN
ap-1420	5	15	)	)	PUNCT
ap-1420	6	1	⊂	⊂	PROPN
ap-1420	6	2	rd	rd	PROPN
ap-1420	6	3	of	of	ADP
ap-1420	6	4	the	the	DET
ap-1420	6	5	(	(	PUNCT
ap-1420	6	6	real	real	ADJ
ap-1420	6	7	)	)	PUNCT
ap-1420	6	8	coupling	couple	VERB
ap-1420	6	9	strengths	strength	NOUN
ap-1420	6	10	for	for	ADP
ap-1420	6	11	which	which	PRON
ap-1420	6	12	the	the	DET
ap-1420	6	13	spectrum	spectrum	NOUN
ap-1420	6	14	of	of	ADP
ap-1420	6	15	energies	energy	NOUN
ap-1420	6	16	is	be	AUX
ap-1420	6	17	real	real	ADJ
ap-1420	6	18	and	and	CCONJ
ap-1420	6	19	non	non	ADJ
ap-1420	6	20	-	-	ADJ
ap-1420	6	21	degenerate	degenerate	ADJ
ap-1420	6	22	,	,	PUNCT
ap-1420	6	23	i.e.	i.e.	X
ap-1420	6	24	,	,	PUNCT
ap-1420	6	25	in	in	ADP
ap-1420	6	26	principle	principle	NOUN
ap-1420	6	27	,	,	PUNCT
ap-1420	6	28	observable	observable	ADJ
ap-1420	6	29	.	.	PUNCT
ap-1420	7	1	it	it	PRON
ap-1420	7	2	is	be	AUX
ap-1420	7	3	shown	show	VERB
ap-1420	7	4	here	here	ADV
ap-1420	7	5	that	that	SCONJ
ap-1420	7	6	even	even	ADV
ap-1420	7	7	in	in	ADP
ap-1420	7	8	the	the	DET
ap-1420	7	9	elementary	elementary	ADJ
ap-1420	7	10	circular	circular	ADJ
ap-1420	7	11	four	four	NUM
ap-1420	7	12	-	-	PUNCT
ap-1420	7	13	site	site	NOUN
ap-1420	7	14	quantum	quantum	NOUN
ap-1420	7	15	lattices	lattice	NOUN
ap-1420	7	16	with	with	ADP
ap-1420	7	17	d	d	PROPN
ap-1420	7	18	=	=	SYM
ap-1420	7	19	2	2	NUM
ap-1420	7	20	or	or	CCONJ
ap-1420	7	21	d	d	NOUN
ap-1420	7	22	=	=	SYM
ap-1420	7	23	3	3	NUM
ap-1420	7	24	the	the	DET
ap-1420	7	25	domain	domain	NOUN
ap-1420	7	26	of	of	ADP
ap-1420	7	27	hidden	hide	VERB
ap-1420	7	28	hermiticity	hermiticity	PROPN
ap-1420	7	29	d(h	d(h	PROPN
ap-1420	7	30	)	)	PUNCT
ap-1420	7	31	proves	prove	VERB
ap-1420	7	32	multiply	multiply	ADV
ap-1420	7	33	connected	connect	VERB
ap-1420	7	34	,	,	PUNCT
ap-1420	7	35	i.e.	i.e.	X
ap-1420	7	36	,	,	PUNCT
ap-1420	7	37	topologically	topologically	ADV
ap-1420	7	38	nontrivial	nontrivial	NOUN
ap-1420	7	39	.	.	PUNCT
ap-1420	8	1	keywords	keyword	NOUN
ap-1420	8	2	:	:	PUNCT
ap-1420	8	3	hidden	hidden	ADJ
ap-1420	8	4	hermiticity	hermiticity	NOUN
ap-1420	8	5	,	,	PUNCT
ap-1420	8	6	spectra	spectra	ADJ
ap-1420	8	7	and	and	CCONJ
ap-1420	8	8	exceptional	exceptional	ADJ
ap-1420	8	9	points	point	NOUN
ap-1420	8	10	,	,	PUNCT
ap-1420	8	11	horizons	horizon	NOUN
ap-1420	8	12	,	,	PUNCT
ap-1420	8	13	discrete	discrete	ADJ
ap-1420	8	14	schrödinger	schrödinger	NOUN
ap-1420	8	15	operators	operator	NOUN
ap-1420	8	16	,	,	PUNCT
ap-1420	8	17	quantum	quantum	NOUN
ap-1420	8	18	graphs	graph	NOUN
ap-1420	8	19	,	,	PUNCT
ap-1420	8	20	loops	loop	NOUN
ap-1420	8	21	,	,	PUNCT
ap-1420	8	22	four	four	NUM
ap-1420	8	23	-	-	PUNCT
ap-1420	8	24	site	site	NOUN
ap-1420	8	25	lattices	lattice	NOUN
ap-1420	8	26	,	,	PUNCT
ap-1420	8	27	connectedness	connectedness	NOUN
ap-1420	8	28	,	,	PUNCT
ap-1420	8	29	strong	strong	ADJ
ap-1420	8	30	-	-	PUNCT
ap-1420	8	31	coupling	couple	VERB
ap-1420	8	32	anomalies	anomaly	NOUN
ap-1420	8	33	.	.	PUNCT
ap-1420	9	1	1	1	NUM
ap-1420	9	2	introduction	introduction	NOUN
ap-1420	9	3	one	one	NUM
ap-1420	9	4	of	of	ADP
ap-1420	9	5	the	the	DET
ap-1420	9	6	most	most	ADV
ap-1420	9	7	interesting	interesting	ADJ
ap-1420	9	8	formulations	formulation	NOUN
ap-1420	9	9	of	of	ADP
ap-1420	9	10	the	the	DET
ap-1420	9	11	standard	standard	ADJ
ap-1420	9	12	and	and	CCONJ
ap-1420	9	13	robust	robust	ADJ
ap-1420	9	14	dictum	dictum	NOUN
ap-1420	9	15	of	of	ADP
ap-1420	9	16	quantum	quantum	ADJ
ap-1420	9	17	mechanics	mechanic	NOUN
ap-1420	9	18	emerged	emerge	VERB
ap-1420	9	19	in	in	ADP
ap-1420	9	20	connection	connection	NOUN
ap-1420	9	21	with	with	ADP
ap-1420	9	22	the	the	DET
ap-1420	9	23	acceptance	acceptance	NOUN
ap-1420	9	24	of	of	ADP
ap-1420	9	25	the	the	DET
ap-1420	9	26	so	so	ADV
ap-1420	9	27	called	call	VERB
ap-1420	9	28	pt	pt	NOUN
ap-1420	9	29	-symmetric	-symmetric	ADJ
ap-1420	9	30	operators	operator	NOUN
ap-1420	9	31	of	of	ADP
ap-1420	9	32	observables	observable	NOUN
ap-1420	9	33	,	,	PUNCT
ap-1420	9	34	where	where	SCONJ
ap-1420	9	35	p	p	NOUN
ap-1420	9	36	means	mean	VERB
ap-1420	9	37	parity	parity	NOUN
ap-1420	9	38	while	while	SCONJ
ap-1420	9	39	t	t	PROPN
ap-1420	9	40	represents	represent	VERB
ap-1420	9	41	time	time	NOUN
ap-1420	9	42	reversal	reversal	NOUN
ap-1420	9	43	(	(	PUNCT
ap-1420	9	44	cf	cf	NOUN
ap-1420	9	45	.	.	PUNCT
ap-1420	10	1	review	review	NOUN
ap-1420	10	2	papers	paper	NOUN
ap-1420	11	1	[	[	X
ap-1420	11	2	1–3	1–3	X
ap-1420	11	3	]	]	X
ap-1420	11	4	for	for	ADP
ap-1420	11	5	an	an	DET
ap-1420	11	6	exhaustive	exhaustive	ADJ
ap-1420	11	7	discussion	discussion	NOUN
ap-1420	11	8	)	)	PUNCT
ap-1420	11	9	.	.	PUNCT
ap-1420	12	1	one	one	NUM
ap-1420	12	2	of	of	ADP
ap-1420	12	3	the	the	DET
ap-1420	12	4	main	main	ADJ
ap-1420	12	5	reasons	reason	NOUN
ap-1420	12	6	for	for	ADP
ap-1420	12	7	the	the	DET
ap-1420	12	8	rebirth	rebirth	NOUN
ap-1420	12	9	of	of	ADP
ap-1420	12	10	interest	interest	NOUN
ap-1420	12	11	in	in	ADP
ap-1420	12	12	this	this	DET
ap-1420	12	13	new	new	ADJ
ap-1420	12	14	paradigm	paradigm	NOUN
ap-1420	12	15	last	last	ADJ
ap-1420	12	16	year	year	NOUN
ap-1420	12	17	may	may	AUX
ap-1420	12	18	be	be	AUX
ap-1420	12	19	seen	see	VERB
ap-1420	12	20	,	,	PUNCT
ap-1420	12	21	paradoxically	paradoxically	ADV
ap-1420	12	22	,	,	PUNCT
ap-1420	12	23	in	in	ADP
ap-1420	12	24	its	its	PRON
ap-1420	12	25	impact	impact	NOUN
ap-1420	12	26	on	on	ADP
ap-1420	12	27	classical	classical	ADJ
ap-1420	12	28	experimental	experimental	ADJ
ap-1420	12	29	optics	optic	NOUN
ap-1420	12	30	[	[	X
ap-1420	12	31	4	4	NUM
ap-1420	12	32	]	]	PUNCT
ap-1420	12	33	.	.	PUNCT
ap-1420	13	1	the	the	DET
ap-1420	13	2	latter	latter	ADJ
ap-1420	13	3	experimental	experimental	ADJ
ap-1420	13	4	activities	activity	NOUN
ap-1420	13	5	(	(	PUNCT
ap-1420	13	6	i.e.	i.e.	X
ap-1420	13	7	,	,	PUNCT
ap-1420	13	8	basically	basically	ADV
ap-1420	13	9	,	,	PUNCT
ap-1420	13	10	the	the	DET
ap-1420	13	11	emergence	emergence	NOUN
ap-1420	13	12	of	of	ADP
ap-1420	13	13	a	a	DET
ap-1420	13	14	few	few	ADJ
ap-1420	13	15	successful	successful	ADJ
ap-1420	13	16	classical	classical	ADJ
ap-1420	13	17	-	-	PUNCT
ap-1420	13	18	physics	physics	NOUN
ap-1420	13	19	simulations	simulation	NOUN
ap-1420	13	20	of	of	ADP
ap-1420	13	21	quantum	quantum	ADJ
ap-1420	13	22	effects	effect	NOUN
ap-1420	13	23	)	)	PUNCT
ap-1420	13	24	re	re	VERB
ap-1420	13	25	-	-	VERB
ap-1420	13	26	attracted	attract	VERB
ap-1420	13	27	attention	attention	NOUN
ap-1420	13	28	to	to	ADP
ap-1420	13	29	the	the	DET
ap-1420	13	30	innovative	innovative	ADJ
ap-1420	13	31	theory	theory	NOUN
ap-1420	13	32	.	.	PUNCT
ap-1420	14	1	we	we	PRON
ap-1420	14	2	may	may	AUX
ap-1420	14	3	mention	mention	VERB
ap-1420	14	4	,	,	PUNCT
ap-1420	14	5	pars	par	NOUN
ap-1420	14	6	pro	pro	ADJ
ap-1420	14	7	toto	toto	NOUN
ap-1420	14	8	,	,	PUNCT
ap-1420	14	9	paper	paper	NOUN
ap-1420	14	10	[	[	X
ap-1420	14	11	5	5	NUM
ap-1420	14	12	]	]	PUNCT
ap-1420	14	13	which	which	PRON
ap-1420	14	14	offered	offer	VERB
ap-1420	14	15	an	an	DET
ap-1420	14	16	exhaustive	exhaustive	ADJ
ap-1420	14	17	constructive	constructive	ADJ
ap-1420	14	18	classification	classification	NOUN
ap-1420	14	19	of	of	ADP
ap-1420	14	20	all	all	PRON
ap-1420	14	21	of	of	ADP
ap-1420	14	22	the	the	DET
ap-1420	14	23	pt	pt	PROPN
ap-1420	14	24	symmetric	symmetric	ADJ
ap-1420	14	25	quantum	quantum	PROPN
ap-1420	14	26	hamiltonians	hamiltonian	NOUN
ap-1420	14	27	h	h	NOUN
ap-1420	14	28	defined	define	VERB
ap-1420	14	29	in	in	ADP
ap-1420	14	30	the	the	DET
ap-1420	14	31	finite	finite	ADJ
ap-1420	14	32	-	-	ADJ
ap-1420	14	33	dimensional	dimensional	ADJ
ap-1420	14	34	hilbert	hilbert	NOUN
ap-1420	14	35	spaces	space	NOUN
ap-1420	14	36	h	h	NOUN
ap-1420	14	37	of	of	ADP
ap-1420	14	38	dimensions	dimension	NOUN
ap-1420	14	39	n	n	NOUN
ap-1420	14	40	=	=	SYM
ap-1420	14	41	2	2	NUM
ap-1420	14	42	and	and	CCONJ
ap-1420	14	43	n	n	NOUN
ap-1420	14	44	=	=	SYM
ap-1420	14	45	3	3	NUM
ap-1420	14	46	.	.	NOUN
ap-1420	14	47	1	1	NUM
ap-1420	14	48	3–3	3–3	NUM
ap-1420	14	49	–	–	SYM
ap-1420	14	50	1	1	NUM
ap-1420	14	51	bcb	bcb	PROPN
ap-1420	14	52	fig	fig	NOUN
ap-1420	14	53	.	.	PUNCT
ap-1420	15	1	1	1	NUM
ap-1420	15	2	:	:	PUNCT
ap-1420	15	3	graphical	graphical	ADJ
ap-1420	15	4	symbol	symbol	NOUN
ap-1420	15	5	for	for	ADP
ap-1420	15	6	the	the	DET
ap-1420	15	7	straight	straight	ADJ
ap-1420	15	8	-	-	PUNCT
ap-1420	15	9	line	line	NOUN
ap-1420	15	10	openend	openend	ADJ
ap-1420	15	11	four	four	NUM
ap-1420	15	12	-	-	PUNCT
ap-1420	15	13	site	site	NOUN
ap-1420	15	14	lattice	lattice	NOUN
ap-1420	15	15	.	.	PUNCT
ap-1420	16	1	the	the	DET
ap-1420	16	2	numbers	number	NOUN
ap-1420	16	3	in	in	ADP
ap-1420	16	4	the	the	DET
ap-1420	16	5	small	small	ADJ
ap-1420	16	6	circles	circle	NOUN
ap-1420	16	7	(=	(=	X
ap-1420	16	8	sites	site	NOUN
ap-1420	16	9	)	)	PUNCT
ap-1420	16	10	are	be	AUX
ap-1420	16	11	the	the	DET
ap-1420	16	12	unperturbed	unperturbed	ADJ
ap-1420	16	13	energies	energy	NOUN
ap-1420	16	14	while	while	SCONJ
ap-1420	16	15	the	the	DET
ap-1420	16	16	letters	letter	NOUN
ap-1420	16	17	b	b	PROPN
ap-1420	16	18	and	and	CCONJ
ap-1420	16	19	c	c	PROPN
ap-1420	16	20	near	near	ADP
ap-1420	16	21	the	the	DET
ap-1420	16	22	nearest	near	ADJ
ap-1420	16	23	-	-	PUNCT
ap-1420	16	24	neighbor	neighbor	NOUN
ap-1420	16	25	-	-	PUNCT
ap-1420	16	26	interaction	interaction	NOUN
ap-1420	16	27	lines	line	NOUN
ap-1420	16	28	represent	represent	VERB
ap-1420	16	29	the	the	DET
ap-1420	16	30	(	(	PUNCT
ap-1420	16	31	real	real	ADJ
ap-1420	16	32	)	)	PUNCT
ap-1420	16	33	couplings	coupling	NOUN
ap-1420	16	34	inside	inside	ADP
ap-1420	16	35	the	the	DET
ap-1420	16	36	most	most	ADV
ap-1420	16	37	elementary	elementary	ADJ
ap-1420	16	38	n	n	CCONJ
ap-1420	16	39	≤	≤	NUM
ap-1420	16	40	3	3	NUM
ap-1420	16	41	family	family	NOUN
ap-1420	16	42	of	of	ADP
ap-1420	16	43	models	model	NOUN
ap-1420	16	44	no	no	DET
ap-1420	16	45	real	real	ADJ
ap-1420	16	46	surprises	surprise	NOUN
ap-1420	16	47	and	and	CCONJ
ap-1420	16	48	spectral	spectral	ADJ
ap-1420	16	49	irregularities	irregularity	NOUN
ap-1420	16	50	have	have	AUX
ap-1420	16	51	been	be	AUX
ap-1420	16	52	encountered	encounter	VERB
ap-1420	16	53	.	.	PUNCT
ap-1420	17	1	in	in	ADP
ap-1420	17	2	contrast	contrast	NOUN
ap-1420	17	3	,	,	PUNCT
ap-1420	17	4	in	in	ADP
ap-1420	17	5	ref	ref	NOUN
ap-1420	17	6	.	.	PUNCT
ap-1420	18	1	[	[	X
ap-1420	18	2	6	6	NUM
ap-1420	18	3	]	]	PUNCT
ap-1420	18	4	we	we	PRON
ap-1420	18	5	found	find	VERB
ap-1420	18	6	that	that	SCONJ
ap-1420	18	7	certain	certain	ADJ
ap-1420	18	8	anomalies	anomaly	NOUN
ap-1420	18	9	certainly	certainly	ADV
ap-1420	18	10	emerge	emerge	VERB
ap-1420	18	11	at	at	ADP
ap-1420	18	12	n	n	NOUN
ap-1420	18	13	=	=	SYM
ap-1420	18	14	8	8	NUM
ap-1420	18	15	.	.	PUNCT
ap-1420	19	1	in	in	ADP
ap-1420	19	2	our	our	PRON
ap-1420	19	3	present	present	ADJ
ap-1420	19	4	brief	brief	ADJ
ap-1420	19	5	continuation	continuation	NOUN
ap-1420	19	6	of	of	ADP
ap-1420	19	7	these	these	DET
ap-1420	19	8	developments	development	NOUN
ap-1420	19	9	we	we	PRON
ap-1420	19	10	intend	intend	VERB
ap-1420	19	11	to	to	PART
ap-1420	19	12	show	show	VERB
ap-1420	19	13	that	that	SCONJ
ap-1420	19	14	the	the	DET
ap-1420	19	15	simplest	simple	ADJ
ap-1420	19	16	models	model	NOUN
ap-1420	19	17	exhibiting	exhibit	VERB
ap-1420	19	18	similar	similar	ADJ
ap-1420	19	19	irregularities	irregularity	NOUN
ap-1420	19	20	in	in	ADP
ap-1420	19	21	their	their	PRON
ap-1420	19	22	spectra	spectra	NOUN
ap-1420	19	23	already	already	ADV
ap-1420	19	24	occur	occur	VERB
ap-1420	19	25	,	,	PUNCT
ap-1420	19	26	unexpectedly	unexpectedly	ADV
ap-1420	19	27	,	,	PUNCT
ap-1420	19	28	as	as	ADV
ap-1420	19	29	early	early	ADV
ap-1420	19	30	as	as	ADP
ap-1420	19	31	at	at	ADP
ap-1420	19	32	the	the	DET
ap-1420	19	33	next	next	ADJ
ap-1420	19	34	hilbert	hilbert	NOUN
ap-1420	19	35	-	-	PUNCT
ap-1420	19	36	space	space	NOUN
ap-1420	19	37	dimension	dimension	NOUN
ap-1420	19	38	n	n	NOUN
ap-1420	19	39	=	=	SYM
ap-1420	19	40	4	4	NUM
ap-1420	19	41	.	.	NOUN
ap-1420	19	42	2	2	NUM
ap-1420	19	43	four	four	NUM
ap-1420	19	44	-	-	PUNCT
ap-1420	19	45	site	site	NOUN
ap-1420	19	46	quantum	quantum	NOUN
ap-1420	19	47	-	-	PUNCT
ap-1420	19	48	lattice	lattice	NOUN
ap-1420	19	49	models	model	NOUN
ap-1420	19	50	2.1	2.1	NUM
ap-1420	19	51	the	the	DET
ap-1420	19	52	exactly	exactly	ADV
ap-1420	19	53	solvable	solvable	ADJ
ap-1420	19	54	straight	straight	ADJ
ap-1420	19	55	-	-	PUNCT
ap-1420	19	56	line	line	NOUN
ap-1420	19	57	case	case	NOUN
ap-1420	19	58	in	in	ADP
ap-1420	19	59	refs	ref	NOUN
ap-1420	19	60	.	.	PUNCT
ap-1420	20	1	[	[	X
ap-1420	20	2	7	7	X
ap-1420	20	3	]	]	X
ap-1420	20	4	the	the	DET
ap-1420	20	5	successful	successful	ADJ
ap-1420	20	6	tractability	tractability	NOUN
ap-1420	20	7	of	of	ADP
ap-1420	20	8	morethan	morethan	NOUN
ap-1420	20	9	-	-	PUNCT
ap-1420	20	10	three	three	NUM
ap-1420	20	11	-	-	PUNCT
ap-1420	20	12	dimensional	dimensional	ADJ
ap-1420	20	13	hamiltonian	hamiltonian	ADJ
ap-1420	20	14	matrices	matrix	NOUN
ap-1420	20	15	resulted	result	VERB
ap-1420	20	16	from	from	ADP
ap-1420	20	17	a	a	DET
ap-1420	20	18	drastic	drastic	ADJ
ap-1420	20	19	simplification	simplification	NOUN
ap-1420	20	20	of	of	ADP
ap-1420	20	21	their	their	PRON
ap-1420	20	22	structure	structure	NOUN
ap-1420	20	23	.	.	PUNCT
ap-1420	21	1	we	we	PRON
ap-1420	21	2	merely	merely	ADV
ap-1420	21	3	admitted	admit	VERB
ap-1420	21	4	their	their	PRON
ap-1420	21	5	tridiagonal	tridiagonal	ADJ
ap-1420	21	6	versions	version	NOUN
ap-1420	21	7	.	.	PUNCT
ap-1420	22	1	in	in	ADP
ap-1420	22	2	the	the	DET
ap-1420	22	3	language	language	NOUN
ap-1420	22	4	of	of	ADP
ap-1420	22	5	physics	physics	NOUN
ap-1420	22	6	this	this	PRON
ap-1420	22	7	corresponded	correspond	VERB
ap-1420	22	8	to	to	ADP
ap-1420	22	9	the	the	DET
ap-1420	22	10	picture	picture	NOUN
ap-1420	22	11	in	in	ADP
ap-1420	22	12	which	which	PRON
ap-1420	22	13	the	the	DET
ap-1420	22	14	system	system	NOUN
ap-1420	22	15	lived	live	VERB
ap-1420	22	16	on	on	ADP
ap-1420	22	17	an	an	DET
ap-1420	22	18	n−site	n−site	ADJ
ap-1420	22	19	straight	straight	ADJ
ap-1420	22	20	-	-	PUNCT
ap-1420	22	21	line	line	NOUN
ap-1420	22	22	lattice	lattice	NOUN
ap-1420	22	23	endowed	endow	VERB
ap-1420	22	24	with	with	ADP
ap-1420	22	25	the	the	DET
ap-1420	22	26	mere	mere	ADJ
ap-1420	22	27	nearest	near	ADJ
ap-1420	22	28	-	-	PUNCT
ap-1420	22	29	neighbor	neighbor	NOUN
ap-1420	22	30	interactions	interaction	NOUN
ap-1420	22	31	.	.	PUNCT
ap-1420	23	1	at	at	ADP
ap-1420	23	2	n	n	NOUN
ap-1420	23	3	=	=	NUM
ap-1420	23	4	4	4	NUM
ap-1420	23	5	this	this	PRON
ap-1420	23	6	is	be	AUX
ap-1420	23	7	schematically	schematically	NOUN
ap-1420	23	8	depicted	depict	VERB
ap-1420	23	9	in	in	ADP
ap-1420	23	10	figure	figure	NOUN
ap-1420	23	11	1	1	NUM
ap-1420	23	12	.	.	PUNCT
ap-1420	24	1	the	the	DET
ap-1420	24	2	small	small	ADJ
ap-1420	24	3	circles	circle	NOUN
ap-1420	24	4	represent	represent	VERB
ap-1420	24	5	the	the	DET
ap-1420	24	6	sites	site	NOUN
ap-1420	24	7	while	while	SCONJ
ap-1420	24	8	their	their	PRON
ap-1420	24	9	frame	frame	NOUN
ap-1420	24	10	-	-	PUNCT
ap-1420	24	11	line	line	NOUN
ap-1420	24	12	connections	connection	NOUN
ap-1420	24	13	symbolize	symbolize	VERB
ap-1420	24	14	the	the	DET
ap-1420	24	15	interactions	interaction	NOUN
ap-1420	24	16	.	.	PUNCT
ap-1420	25	1	the	the	DET
ap-1420	25	2	left	leave	VERB
ap-1420	25	3	-	-	PUNCT
ap-1420	25	4	right	right	NOUN
ap-1420	25	5	symmetric	symmetric	ADJ
ap-1420	25	6	straight	straight	ADJ
ap-1420	25	7	-	-	PUNCT
ap-1420	25	8	line	line	NOUN
ap-1420	25	9	lattice	lattice	NOUN
ap-1420	25	10	of	of	ADP
ap-1420	25	11	figure	figure	NOUN
ap-1420	25	12	1	1	NUM
ap-1420	25	13	(	(	PUNCT
ap-1420	25	14	i.e.	i.e.	X
ap-1420	25	15	,	,	PUNCT
ap-1420	25	16	of	of	ADP
ap-1420	25	17	refs	ref	NOUN
ap-1420	25	18	.	.	PUNCT
ap-1420	26	1	[	[	X
ap-1420	26	2	7	7	NUM
ap-1420	26	3	]	]	PUNCT
ap-1420	26	4	)	)	PUNCT
ap-1420	26	5	is	be	AUX
ap-1420	26	6	assigned	assign	VERB
ap-1420	26	7	the	the	DET
ap-1420	26	8	hamiltonian	hamiltonian	NOUN
ap-1420	26	9	given	give	VERB
ap-1420	26	10	in	in	ADP
ap-1420	26	11	the	the	DET
ap-1420	26	12	form	form	NOUN
ap-1420	26	13	of	of	ADP
ap-1420	26	14	two	two	NUM
ap-1420	26	15	-	-	PUNCT
ap-1420	26	16	parametric	parametric	ADJ
ap-1420	26	17	real	real	ADJ
ap-1420	26	18	matrix	matrix	NOUN
ap-1420	26	19	h	h	NOUN
ap-1420	26	20	=	=	PUNCT
ap-1420	26	21	h(4)(b	h(4)(b	ADJ
ap-1420	26	22	,	,	PUNCT
ap-1420	26	23	c	c	NOUN
ap-1420	26	24	)	)	PUNCT
ap-1420	26	25	=	=	NOUN
ap-1420	27	1	⎡⎢⎢⎢⎢⎢⎢⎢⎣	⎡⎢⎢⎢⎢⎢⎢⎢⎣	NUM
ap-1420	27	2	−3	−3	PROPN
ap-1420	27	3	b	b	NOUN
ap-1420	27	4	0	0	NUM
ap-1420	27	5	0	0	NUM
ap-1420	27	6	−b	−b	NOUN
ap-1420	27	7	−1	−1	NOUN
ap-1420	27	8	c	c	NOUN
ap-1420	27	9	0	0	NUM
ap-1420	27	10	0	0	NUM
ap-1420	27	11	−c	−c	NOUN
ap-1420	27	12	1	1	NUM
ap-1420	27	13	b	b	NOUN
ap-1420	27	14	0	0	NUM
ap-1420	27	15	0	0	NUM
ap-1420	27	16	−b	−b	NOUN
ap-1420	27	17	3	3	NUM
ap-1420	27	18	⎤⎥⎥⎥⎥⎥⎥⎥⎦	⎤⎥⎥⎥⎥⎥⎥⎥⎦	NOUN
ap-1420	27	19	.	.	PUNCT
ap-1420	28	1	(	(	PUNCT
ap-1420	28	2	1	1	X
ap-1420	28	3	)	)	PUNCT
ap-1420	28	4	104	104	NUM
ap-1420	28	5	acta	acta	PROPN
ap-1420	28	6	polytechnica	polytechnica	PROPN
ap-1420	28	7	vol	vol	NOUN
ap-1420	28	8	.	.	PUNCT
ap-1420	29	1	51	51	NUM
ap-1420	29	2	no	no	INTJ
ap-1420	29	3	.	.	PUNCT
ap-1420	30	1	4/2011	4/2011	NUM
ap-1420	30	2	a	a	DET
ap-1420	30	3	quantitative	quantitative	ADJ
ap-1420	30	4	analysis	analysis	NOUN
ap-1420	30	5	of	of	ADP
ap-1420	30	6	the	the	DET
ap-1420	30	7	models	model	NOUN
ap-1420	30	8	is	be	AUX
ap-1420	30	9	more	more	ADV
ap-1420	30	10	or	or	CCONJ
ap-1420	30	11	less	less	ADV
ap-1420	30	12	trivial	trivial	ADJ
ap-1420	30	13	even	even	ADV
ap-1420	30	14	at	at	ADP
ap-1420	30	15	larger	large	ADJ
ap-1420	30	16	n	n	ADP
ap-1420	30	17	>	>	X
ap-1420	30	18	4	4	NUM
ap-1420	30	19	.	.	PUNCT
ap-1420	31	1	the	the	DET
ap-1420	31	2	curious	curious	ADJ
ap-1420	31	3	reader	reader	NOUN
ap-1420	31	4	may	may	AUX
ap-1420	31	5	find	find	VERB
ap-1420	31	6	many	many	ADJ
ap-1420	31	7	details	detail	NOUN
ap-1420	31	8	,	,	PUNCT
ap-1420	31	9	say	say	VERB
ap-1420	31	10	,	,	PUNCT
ap-1420	31	11	in	in	ADP
ap-1420	31	12	review	review	NOUN
ap-1420	31	13	paper	paper	NOUN
ap-1420	31	14	[	[	X
ap-1420	31	15	8	8	NUM
ap-1420	31	16	]	]	PUNCT
ap-1420	31	17	.	.	PUNCT
ap-1420	32	1	2.2	2.2	NUM
ap-1420	32	2	pt	pt	NOUN
ap-1420	32	3	-symmetric	-symmetric	ADJ
ap-1420	32	4	circular	circular	ADJ
ap-1420	32	5	lattices	lattice	NOUN
ap-1420	32	6	and	and	CCONJ
ap-1420	32	7	their	their	PRON
ap-1420	32	8	simplest	simple	ADJ
ap-1420	32	9	four	four	NUM
ap-1420	32	10	-	-	PUNCT
ap-1420	32	11	site	site	NOUN
ap-1420	32	12	example	example	NOUN
ap-1420	32	13	once	once	SCONJ
ap-1420	32	14	we	we	PRON
ap-1420	32	15	replace	replace	VERB
ap-1420	32	16	figure	figure	NOUN
ap-1420	32	17	1	1	NUM
ap-1420	32	18	by	by	ADP
ap-1420	32	19	its	its	PRON
ap-1420	32	20	circular	circular	ADJ
ap-1420	32	21	version	version	NOUN
ap-1420	32	22	of	of	ADP
ap-1420	32	23	figure	figure	NOUN
ap-1420	32	24	2	2	NUM
ap-1420	32	25	we	we	PRON
ap-1420	32	26	may	may	AUX
ap-1420	32	27	immediately	immediately	ADV
ap-1420	32	28	interpret	interpret	VERB
ap-1420	32	29	the	the	DET
ap-1420	32	30	new	new	ADJ
ap-1420	32	31	diagram	diagram	NOUN
ap-1420	32	32	as	as	ADP
ap-1420	32	33	representing	represent	VERB
ap-1420	32	34	the	the	DET
ap-1420	32	35	new	new	ADJ
ap-1420	32	36	n	n	NOUN
ap-1420	32	37	=	=	SYM
ap-1420	32	38	4	4	NUM
ap-1420	32	39	quantum	quantum	NOUN
ap-1420	32	40	model	model	NOUN
ap-1420	32	41	which	which	PRON
ap-1420	32	42	is	be	AUX
ap-1420	32	43	given	give	VERB
ap-1420	32	44	by	by	ADP
ap-1420	32	45	the	the	DET
ap-1420	32	46	following	follow	VERB
ap-1420	32	47	three	three	NUM
ap-1420	32	48	-	-	PUNCT
ap-1420	32	49	parametric	parametric	ADJ
ap-1420	32	50	fourby	fourby	NOUN
ap-1420	32	51	-	-	PUNCT
ap-1420	32	52	four	four	NUM
ap-1420	32	53	matrix	matrix	NOUN
ap-1420	32	54	form	form	NOUN
ap-1420	32	55	of	of	ADP
ap-1420	32	56	the	the	DET
ap-1420	32	57	hamiltonian	hamiltonian	NOUN
ap-1420	32	58	studied	study	VERB
ap-1420	32	59	in	in	ADP
ap-1420	32	60	ref	ref	NOUN
ap-1420	32	61	.	.	PUNCT
ap-1420	33	1	[	[	X
ap-1420	33	2	9	9	NUM
ap-1420	33	3	]	]	PUNCT
ap-1420	33	4	,	,	PUNCT
ap-1420	33	5	h	h	NOUN
ap-1420	33	6	=	=	PUNCT
ap-1420	33	7	h(4)(a	h(4)(a	NOUN
ap-1420	33	8	,	,	PUNCT
ap-1420	33	9	b	b	NOUN
ap-1420	33	10	,	,	PUNCT
ap-1420	33	11	c	c	NOUN
ap-1420	33	12	)	)	PUNCT
ap-1420	33	13	=	=	NOUN
ap-1420	34	1	⎡⎢⎢⎢⎢⎢⎢⎢⎣	⎡⎢⎢⎢⎢⎢⎢⎢⎣	NUM
ap-1420	34	2	−3	−3	PROPN
ap-1420	34	3	b	b	PROPN
ap-1420	34	4	0	0	NUM
ap-1420	34	5	−a	−a	NOUN
ap-1420	35	1	−b	−b	ADP
ap-1420	35	2	−1	−1	NOUN
ap-1420	35	3	c	c	NOUN
ap-1420	35	4	0	0	NUM
ap-1420	35	5	0	0	NUM
ap-1420	35	6	−c	−c	NOUN
ap-1420	35	7	1	1	NUM
ap-1420	35	8	b	b	NOUN
ap-1420	35	9	a	a	DET
ap-1420	35	10	0	0	NUM
ap-1420	35	11	−b	−b	NOUN
ap-1420	35	12	3	3	NUM
ap-1420	35	13	⎤⎥⎥⎥⎥⎥⎥⎥⎦	⎤⎥⎥⎥⎥⎥⎥⎥⎦	NOUN
ap-1420	35	14	.	.	PUNCT
ap-1420	36	1	(	(	PUNCT
ap-1420	36	2	2	2	X
ap-1420	36	3	)	)	PUNCT
ap-1420	36	4	in	in	ADP
ap-1420	36	5	the	the	DET
ap-1420	36	6	new	new	ADJ
ap-1420	36	7	model	model	NOUN
ap-1420	36	8	with	with	ADP
ap-1420	36	9	one	one	NUM
ap-1420	36	10	more	more	ADJ
ap-1420	36	11	coupling	coupling	NOUN
ap-1420	36	12	which	which	PRON
ap-1420	36	13	connects	connect	VERB
ap-1420	36	14	the	the	DET
ap-1420	36	15	“	"	PUNCT
ap-1420	36	16	upper	upper	ADJ
ap-1420	36	17	two	two	NUM
ap-1420	36	18	”	"	PUNCT
ap-1420	36	19	sites	site	NOUN
ap-1420	36	20	,	,	PUNCT
ap-1420	36	21	the	the	DET
ap-1420	36	22	method	method	NOUN
ap-1420	36	23	for	for	ADP
ap-1420	36	24	constructing	construct	VERB
ap-1420	36	25	the	the	DET
ap-1420	36	26	boundary	boundary	ADJ
ap-1420	36	27	∂d(h	∂d(h	PROPN
ap-1420	36	28	)	)	PUNCT
ap-1420	36	29	does	do	AUX
ap-1420	36	30	not	not	PART
ap-1420	36	31	change	change	VERB
ap-1420	36	32	.	.	PUNCT
ap-1420	37	1	at	at	ADP
ap-1420	37	2	any	any	DET
ap-1420	37	3	number	number	NOUN
ap-1420	37	4	n	n	NOUN
ap-1420	37	5	of	of	ADP
ap-1420	37	6	sites	site	NOUN
ap-1420	37	7	along	along	ADP
ap-1420	37	8	the	the	DET
ap-1420	37	9	(	(	PUNCT
ap-1420	37	10	circular	circular	ADJ
ap-1420	37	11	)	)	PUNCT
ap-1420	37	12	lattice	lattice	NOUN
ap-1420	37	13	the	the	DET
ap-1420	37	14	reality	reality	NOUN
ap-1420	37	15	property	property	NOUN
ap-1420	37	16	of	of	ADP
ap-1420	37	17	the	the	DET
ap-1420	37	18	spectrum	spectrum	NOUN
ap-1420	37	19	of	of	ADP
ap-1420	37	20	the	the	DET
ap-1420	37	21	energies	energy	NOUN
ap-1420	37	22	will	will	AUX
ap-1420	37	23	remain	remain	VERB
ap-1420	37	24	tractable	tractable	ADJ
ap-1420	37	25	by	by	ADP
ap-1420	37	26	the	the	DET
ap-1420	37	27	standard	standard	ADJ
ap-1420	37	28	mathematical	mathematical	ADJ
ap-1420	37	29	techniques	technique	NOUN
ap-1420	37	30	.	.	PUNCT
ap-1420	38	1	a	a	DET
ap-1420	38	2	few	few	ADJ
ap-1420	38	3	representative	representative	ADJ
ap-1420	38	4	samples	sample	NOUN
ap-1420	38	5	may	may	AUX
ap-1420	38	6	be	be	AUX
ap-1420	38	7	found	find	VERB
ap-1420	38	8	in	in	ADP
ap-1420	38	9	ref	ref	NOUN
ap-1420	38	10	.	.	PUNCT
ap-1420	39	1	[	[	X
ap-1420	39	2	10	10	NUM
ap-1420	39	3	]	]	PUNCT
ap-1420	39	4	.	.	PUNCT
ap-1420	40	1	interested	interested	ADJ
ap-1420	40	2	readers	reader	NOUN
ap-1420	40	3	may	may	AUX
ap-1420	40	4	search	search	VERB
ap-1420	40	5	for	for	ADP
ap-1420	40	6	a	a	DET
ap-1420	40	7	broader	broad	ADJ
ap-1420	40	8	mathematical	mathematical	ADJ
ap-1420	40	9	context	context	NOUN
ap-1420	40	10	in	in	ADP
ap-1420	40	11	refs	ref	NOUN
ap-1420	40	12	.	.	PUNCT
ap-1420	41	1	[	[	X
ap-1420	41	2	11	11	NUM
ap-1420	41	3	,	,	PUNCT
ap-1420	41	4	12	12	NUM
ap-1420	41	5	]	]	PUNCT
ap-1420	41	6	.	.	PUNCT
ap-1420	42	1	–	–	PUNCT
ap-1420	42	2	1	1	NUM
ap-1420	42	3	1	1	NUM
ap-1420	42	4	–	–	PUNCT
ap-1420	42	5	3	3	NUM
ap-1420	42	6	3	3	NUM
ap-1420	42	7	c	c	NOUN
ap-1420	42	8	bb	bb	NOUN
ap-1420	42	9	a	a	DET
ap-1420	42	10	fig	fig	NOUN
ap-1420	42	11	.	.	PUNCT
ap-1420	43	1	2	2	NUM
ap-1420	43	2	:	:	PUNCT
ap-1420	43	3	the	the	DET
ap-1420	43	4	circular	circular	ADJ
ap-1420	43	5	four	four	NUM
ap-1420	43	6	-	-	PUNCT
ap-1420	43	7	site	site	NOUN
ap-1420	43	8	lattice	lattice	NOUN
ap-1420	43	9	once	once	SCONJ
ap-1420	43	10	we	we	PRON
ap-1420	43	11	restrict	restrict	VERB
ap-1420	43	12	our	our	PRON
ap-1420	43	13	attention	attention	NOUN
ap-1420	43	14	just	just	ADV
ap-1420	43	15	to	to	ADP
ap-1420	43	16	our	our	PRON
ap-1420	43	17	special	special	ADJ
ap-1420	43	18	toy	toy	NOUN
ap-1420	43	19	model	model	NOUN
ap-1420	43	20	h(4)(a	h(4)(a	NOUN
ap-1420	43	21	,	,	PUNCT
ap-1420	43	22	b	b	NOUN
ap-1420	43	23	,	,	PUNCT
ap-1420	43	24	c	c	X
ap-1420	43	25	)	)	PUNCT
ap-1420	43	26	it	it	PRON
ap-1420	43	27	proves	prove	VERB
ap-1420	43	28	sufficient	sufficient	ADJ
ap-1420	43	29	to	to	PART
ap-1420	43	30	recall	recall	VERB
ap-1420	43	31	the	the	DET
ap-1420	43	32	entirely	entirely	ADV
ap-1420	43	33	elementary	elementary	ADJ
ap-1420	43	34	considerations	consideration	NOUN
ap-1420	43	35	of	of	ADP
ap-1420	43	36	ref	ref	NOUN
ap-1420	43	37	.	.	PUNCT
ap-1420	44	1	[	[	X
ap-1420	44	2	10	10	NUM
ap-1420	44	3	]	]	PUNCT
ap-1420	44	4	.	.	PUNCT
ap-1420	45	1	this	this	PRON
ap-1420	45	2	leads	lead	VERB
ap-1420	45	3	to	to	ADP
ap-1420	45	4	the	the	DET
ap-1420	45	5	conclusion	conclusion	NOUN
ap-1420	45	6	that	that	SCONJ
ap-1420	45	7	the	the	DET
ap-1420	45	8	spectrum	spectrum	NOUN
ap-1420	45	9	of	of	ADP
ap-1420	45	10	energies	energy	NOUN
ap-1420	45	11	is	be	AUX
ap-1420	45	12	real	real	ADJ
ap-1420	45	13	and	and	CCONJ
ap-1420	45	14	nondegenerate	nondegenerate	ADJ
ap-1420	45	15	if	if	SCONJ
ap-1420	45	16	and	and	CCONJ
ap-1420	45	17	only	only	ADV
ap-1420	45	18	if	if	SCONJ
ap-1420	45	19	the	the	DET
ap-1420	45	20	triplet	triplet	NOUN
ap-1420	45	21	of	of	ADP
ap-1420	45	22	parameters	parameter	NOUN
ap-1420	45	23	(	(	PUNCT
ap-1420	45	24	a	a	DET
ap-1420	45	25	,	,	PUNCT
ap-1420	45	26	b	b	NOUN
ap-1420	45	27	,	,	PUNCT
ap-1420	45	28	c	c	NOUN
ap-1420	45	29	)	)	PUNCT
ap-1420	45	30	lies	lie	VERB
ap-1420	45	31	inside	inside	ADP
ap-1420	45	32	the	the	DET
ap-1420	45	33	domain	domain	NOUN
ap-1420	45	34	d(h	d(h	PROPN
ap-1420	45	35	)	)	PUNCT
ap-1420	45	36	:	:	PUNCT
ap-1420	46	1	=	=	SYM
ap-1420	46	2	{	{	PUNCT
ap-1420	46	3	(	(	PUNCT
ap-1420	46	4	a	a	PRON
ap-1420	46	5	,	,	PUNCT
ap-1420	46	6	b	b	NOUN
ap-1420	46	7	,	,	PUNCT
ap-1420	46	8	c	c	NOUN
ap-1420	46	9	)	)	PUNCT
ap-1420	46	10	∈	∈	PROPN
ap-1420	46	11	r3	r3	PROPN
ap-1420	46	12	|w	|w	NOUN
ap-1420	46	13	(	(	PUNCT
ap-1420	46	14	a	a	PRON
ap-1420	46	15	,	,	PUNCT
ap-1420	46	16	b	b	NOUN
ap-1420	46	17	,	,	PUNCT
ap-1420	46	18	c	c	NOUN
ap-1420	46	19	)	)	PUNCT
ap-1420	46	20	>	>	X
ap-1420	46	21	0	0	PUNCT
ap-1420	46	22	,	,	PUNCT
ap-1420	46	23	(	(	PUNCT
ap-1420	46	24	3	3	X
ap-1420	46	25	)	)	PUNCT
ap-1420	46	26	q(a	q(a	NOUN
ap-1420	46	27	,	,	PUNCT
ap-1420	46	28	b	b	NOUN
ap-1420	46	29	,	,	PUNCT
ap-1420	46	30	c	c	NOUN
ap-1420	46	31	)	)	PUNCT
ap-1420	46	32	>	>	X
ap-1420	46	33	0	0	PUNCT
ap-1420	46	34	,	,	PUNCT
ap-1420	46	35	p	p	X
ap-1420	46	36	(	(	PUNCT
ap-1420	46	37	a	a	PRON
ap-1420	46	38	,	,	PUNCT
ap-1420	46	39	b	b	NOUN
ap-1420	46	40	,	,	PUNCT
ap-1420	46	41	c	c	NOUN
ap-1420	46	42	)	)	PUNCT
ap-1420	46	43	>	>	X
ap-1420	46	44	0	0	PUNCT
ap-1420	46	45	}	}	PUNCT
ap-1420	46	46	where	where	SCONJ
ap-1420	46	47	w	w	X
ap-1420	46	48	(	(	PUNCT
ap-1420	46	49	a	a	PRON
ap-1420	46	50	,	,	PUNCT
ap-1420	46	51	b	b	NOUN
ap-1420	46	52	,	,	PUNCT
ap-1420	46	53	c	c	NOUN
ap-1420	46	54	)	)	PUNCT
ap-1420	46	55	=	=	NOUN
ap-1420	46	56	(	(	PUNCT
ap-1420	46	57	8	8	NUM
ap-1420	46	58	+	+	NUM
ap-1420	46	59	c2	c2	PROPN
ap-1420	46	60	−	−	PROPN
ap-1420	46	61	a2	a2	PROPN
ap-1420	46	62	)	)	PUNCT
ap-1420	46	63	2	2	NUM
ap-1420	46	64	−	−	NOUN
ap-1420	46	65	(	(	PUNCT
ap-1420	46	66	4	4	NUM
ap-1420	46	67	)	)	PUNCT
ap-1420	46	68	4	4	NUM
ap-1420	46	69	[	[	PUNCT
ap-1420	46	70	16	16	NUM
ap-1420	46	71	−	−	NOUN
ap-1420	46	72	(	(	PUNCT
ap-1420	46	73	a	a	DET
ap-1420	46	74	+	+	NUM
ap-1420	46	75	c)2	c)2	NOUN
ap-1420	46	76	]	]	PUNCT
ap-1420	46	77	b2	b2	NOUN
ap-1420	46	78	,	,	PUNCT
ap-1420	46	79	q(a	q(a	PROPN
ap-1420	46	80	,	,	PUNCT
ap-1420	46	81	b	b	NOUN
ap-1420	46	82	,	,	PUNCT
ap-1420	46	83	c	c	NOUN
ap-1420	46	84	)	)	PUNCT
ap-1420	46	85	=	=	NOUN
ap-1420	47	1	[	[	PUNCT
ap-1420	47	2	(	(	PUNCT
ap-1420	47	3	a	a	DET
ap-1420	47	4	+	+	NUM
ap-1420	47	5	3)(c	3)(c	NUM
ap-1420	47	6	−	−	NOUN
ap-1420	47	7	1	1	NUM
ap-1420	47	8	)	)	PUNCT
ap-1420	47	9	−	−	PROPN
ap-1420	47	10	b2	b2	NOUN
ap-1420	47	11	]	]	PUNCT
ap-1420	47	12	·	·	PUNCT
ap-1420	47	13	(	(	PUNCT
ap-1420	47	14	5	5	NUM
ap-1420	47	15	)	)	PUNCT
ap-1420	47	16	[	[	PUNCT
ap-1420	47	17	(	(	PUNCT
ap-1420	47	18	a	a	DET
ap-1420	47	19	−	−	PROPN
ap-1420	47	20	3)(c	3)(c	NUM
ap-1420	47	21	+	+	NOUN
ap-1420	47	22	1	1	NUM
ap-1420	47	23	)	)	PUNCT
ap-1420	47	24	−	−	PROPN
ap-1420	47	25	b2	b2	NOUN
ap-1420	47	26	]	]	PUNCT
ap-1420	47	27	and	and	CCONJ
ap-1420	47	28	p	p	X
ap-1420	47	29	(	(	PUNCT
ap-1420	47	30	a	a	PRON
ap-1420	47	31	,	,	PUNCT
ap-1420	47	32	b	b	NOUN
ap-1420	47	33	,	,	PUNCT
ap-1420	47	34	c	c	NOUN
ap-1420	47	35	)	)	PUNCT
ap-1420	47	36	=	=	SYM
ap-1420	48	1	10	10	NUM
ap-1420	48	2	−	−	PROPN
ap-1420	48	3	a2	a2	PROPN
ap-1420	48	4	−	−	PROPN
ap-1420	48	5	2	2	NUM
ap-1420	48	6	b2	b2	NOUN
ap-1420	48	7	−	−	PROPN
ap-1420	48	8	c2	c2	PROPN
ap-1420	48	9	.	.	PUNCT
ap-1420	49	1	(	(	PUNCT
ap-1420	49	2	6	6	NUM
ap-1420	49	3	)	)	PUNCT
ap-1420	49	4	in	in	ADP
ap-1420	49	5	other	other	ADJ
ap-1420	49	6	words	word	NOUN
ap-1420	49	7	,	,	PUNCT
ap-1420	49	8	for	for	ADP
ap-1420	49	9	the	the	DET
ap-1420	49	10	couplings	coupling	NOUN
ap-1420	49	11	moving	move	VERB
ap-1420	49	12	to	to	ADP
ap-1420	49	13	the	the	DET
ap-1420	49	14	twodimensional	twodimensional	ADJ
ap-1420	49	15	surfaces	surface	NOUN
ap-1420	49	16	of	of	ADP
ap-1420	49	17	d(h	d(h	PROPN
ap-1420	49	18	)	)	PUNCT
ap-1420	49	19	from	from	ADP
ap-1420	49	20	inside	inside	ADP
ap-1420	49	21	we	we	PRON
ap-1420	49	22	observe	observe	VERB
ap-1420	49	23	that	that	SCONJ
ap-1420	49	24	the	the	DET
ap-1420	49	25	quadruplets	quadruplet	NOUN
ap-1420	49	26	of	of	ADP
ap-1420	49	27	the	the	DET
ap-1420	49	28	real	real	ADJ
ap-1420	49	29	bound	bind	VERB
ap-1420	49	30	-	-	PUNCT
ap-1420	49	31	state	state	NOUN
ap-1420	49	32	energies	energy	NOUN
ap-1420	49	33	themselves	themselves	PRON
ap-1420	49	34	behave	behave	VERB
ap-1420	49	35	in	in	ADP
ap-1420	49	36	an	an	DET
ap-1420	49	37	easily	easily	ADV
ap-1420	49	38	understandable	understandable	ADJ
ap-1420	49	39	manner	manner	NOUN
ap-1420	49	40	.	.	PUNCT
ap-1420	50	1	the	the	DET
ap-1420	50	2	reason	reason	NOUN
ap-1420	50	3	is	be	AUX
ap-1420	50	4	that	that	SCONJ
ap-1420	50	5	we	we	PRON
ap-1420	50	6	may	may	AUX
ap-1420	50	7	rewrite	rewrite	VERB
ap-1420	50	8	the	the	DET
ap-1420	50	9	secular	secular	ADJ
ap-1420	50	10	equation	equation	NOUN
ap-1420	50	11	in	in	ADP
ap-1420	50	12	the	the	DET
ap-1420	50	13	form	form	NOUN
ap-1420	50	14	s(s	s(s	PROPN
ap-1420	50	15	,	,	PUNCT
ap-1420	50	16	a	a	DET
ap-1420	50	17	,	,	PUNCT
ap-1420	50	18	b	b	NOUN
ap-1420	50	19	,	,	PUNCT
ap-1420	50	20	c	c	NOUN
ap-1420	50	21	)	)	PUNCT
ap-1420	51	1	=	=	SYM
ap-1420	51	2	0	0	NUM
ap-1420	51	3	where	where	SCONJ
ap-1420	51	4	the	the	DET
ap-1420	51	5	energies	energy	NOUN
ap-1420	51	6	e±	e±	X
ap-1420	51	7	=	=	SYM
ap-1420	51	8	±	±	PROPN
ap-1420	51	9	√	√	NOUN
ap-1420	51	10	s	s	PART
ap-1420	51	11	emerge	emerge	VERB
ap-1420	51	12	in	in	ADP
ap-1420	51	13	pairs	pair	NOUN
ap-1420	51	14	and	and	CCONJ
ap-1420	51	15	where	where	SCONJ
ap-1420	51	16	s(s	s(s	PROPN
ap-1420	51	17	,	,	PUNCT
ap-1420	51	18	a	a	DET
ap-1420	51	19	,	,	PUNCT
ap-1420	51	20	b	b	NOUN
ap-1420	51	21	,	,	PUNCT
ap-1420	51	22	c	c	NOUN
ap-1420	51	23	)	)	PUNCT
ap-1420	51	24	:	:	PUNCT
ap-1420	51	25	=	=	SYM
ap-1420	51	26	s2	s2	NOUN
ap-1420	51	27	+	+	CCONJ
ap-1420	51	28	(	(	PUNCT
ap-1420	51	29	−10	−10	X
ap-1420	51	30	+	+	CCONJ
ap-1420	51	31	c2	c2	PROPN
ap-1420	51	32	+	+	CCONJ
ap-1420	51	33	2	2	NUM
ap-1420	51	34	b2	b2	NOUN
ap-1420	51	35	+	+	NUM
ap-1420	51	36	a2	a2	PROPN
ap-1420	51	37	)	)	PUNCT
ap-1420	51	38	s	s	PART
ap-1420	52	1	+	+	ADJ
ap-1420	52	2	9	9	NUM
ap-1420	52	3	+	+	SYM
ap-1420	52	4	6	6	NUM
ap-1420	52	5	b2	b2	NOUN
ap-1420	52	6	−	−	PROPN
ap-1420	52	7	9	9	NUM
ap-1420	52	8	c2	c2	PROPN
ap-1420	52	9	+	+	CCONJ
ap-1420	52	10	b4	b4	PROPN
ap-1420	52	11	−	−	PROPN
ap-1420	52	12	2	2	NUM
ap-1420	52	13	cab2	cab2	ADJ
ap-1420	52	14	−	−	PROPN
ap-1420	52	15	a2	a2	PROPN
ap-1420	52	16	+	+	CCONJ
ap-1420	53	1	c2a2	c2a2	PROPN
ap-1420	53	2	.	.	PUNCT
ap-1420	54	1	this	this	DET
ap-1420	54	2	recipe	recipe	NOUN
ap-1420	54	3	generates	generate	VERB
ap-1420	54	4	the	the	DET
ap-1420	54	5	two	two	NUM
ap-1420	54	6	auxiliary	auxiliary	ADJ
ap-1420	54	7	roots	root	NOUN
ap-1420	54	8	4	4	NUM
ap-1420	54	9	s	s	NOUN
ap-1420	54	10	=	=	NOUN
ap-1420	54	11	4	4	NUM
ap-1420	54	12	s(±	s(±	NOUN
ap-1420	54	13	)	)	PUNCT
ap-1420	54	14	=	=	SYM
ap-1420	54	15	20	20	NUM
ap-1420	54	16	−	−	NUM
ap-1420	54	17	2	2	NUM
ap-1420	54	18	a2	a2	NOUN
ap-1420	54	19	−	−	PROPN
ap-1420	54	20	2	2	NUM
ap-1420	54	21	c2	c2	PROPN
ap-1420	54	22	−	−	PROPN
ap-1420	54	23	4	4	NUM
ap-1420	54	24	b2	b2	NOUN
ap-1420	54	25	±	±	NUM
ap-1420	54	26	2	2	NUM
ap-1420	54	27	√	√	PROPN
ap-1420	54	28	w	w	PROPN
ap-1420	54	29	(	(	PUNCT
ap-1420	54	30	a	a	PRON
ap-1420	54	31	,	,	PUNCT
ap-1420	54	32	b	b	NOUN
ap-1420	54	33	,	,	PUNCT
ap-1420	54	34	c	c	NOUN
ap-1420	54	35	)	)	PUNCT
ap-1420	54	36	where	where	SCONJ
ap-1420	54	37	we	we	PRON
ap-1420	54	38	already	already	ADV
ap-1420	54	39	know	know	VERB
ap-1420	54	40	the	the	DET
ap-1420	54	41	function	function	NOUN
ap-1420	54	42	of	of	ADP
ap-1420	54	43	eq	eq	PROPN
ap-1420	54	44	.	.	PUNCT
ap-1420	55	1	(	(	PUNCT
ap-1420	55	2	4	4	NUM
ap-1420	55	3	)	)	PUNCT
ap-1420	55	4	,	,	PUNCT
ap-1420	55	5	w	w	PROPN
ap-1420	55	6	(	(	PUNCT
ap-1420	55	7	a	a	DET
ap-1420	55	8	,	,	PUNCT
ap-1420	55	9	b	b	NOUN
ap-1420	55	10	,	,	PUNCT
ap-1420	55	11	c	c	NOUN
ap-1420	55	12	)	)	PUNCT
ap-1420	55	13	=	=	SYM
ap-1420	56	1	64	64	NUM
ap-1420	56	2	+	+	NUM
ap-1420	56	3	16	16	NUM
ap-1420	56	4	c2	c2	PROPN
ap-1420	56	5	−	−	PROPN
ap-1420	56	6	64	64	NUM
ap-1420	56	7	b2	b2	NOUN
ap-1420	56	8	−	−	PROPN
ap-1420	56	9	16	16	NUM
ap-1420	56	10	a2	a2	PROPN
ap-1420	56	11	+	+	CCONJ
ap-1420	56	12	c4	c4	NOUN
ap-1420	56	13	+	+	CCONJ
ap-1420	56	14	4	4	NUM
ap-1420	56	15	c2b2	c2b2	VERB
ap-1420	56	16	−	−	NOUN
ap-1420	56	17	2	2	NUM
ap-1420	56	18	c2a2	c2a2	NOUN
ap-1420	56	19	+	+	CCONJ
ap-1420	56	20	4	4	NUM
ap-1420	56	21	b2a2	b2a2	NOUN
ap-1420	56	22	+	+	NUM
ap-1420	56	23	a4	a4	NOUN
ap-1420	56	24	+	+	CCONJ
ap-1420	56	25	8	8	NUM
ap-1420	56	26	cab2	cab2	ADJ
ap-1420	56	27	.	.	PUNCT
ap-1420	57	1	in	in	ADP
ap-1420	57	2	the	the	DET
ap-1420	57	3	spirit	spirit	NOUN
ap-1420	57	4	of	of	ADP
ap-1420	57	5	the	the	DET
ap-1420	57	6	general	general	ADJ
ap-1420	57	7	results	result	NOUN
ap-1420	57	8	of	of	ADP
ap-1420	57	9	ref	ref	NOUN
ap-1420	57	10	.	.	PUNCT
ap-1420	58	1	[	[	X
ap-1420	58	2	9	9	X
ap-1420	58	3	]	]	PUNCT
ap-1420	58	4	we	we	PRON
ap-1420	58	5	may	may	AUX
ap-1420	58	6	summarize	summarize	VERB
ap-1420	58	7	that	that	SCONJ
ap-1420	58	8	1	1	X
ap-1420	58	9	.	.	PUNCT
ap-1420	59	1	whenever	whenever	SCONJ
ap-1420	59	2	w	w	PROPN
ap-1420	59	3	(	(	PUNCT
ap-1420	59	4	a	a	DET
ap-1420	59	5	,	,	PUNCT
ap-1420	59	6	b	b	NOUN
ap-1420	59	7	,	,	PUNCT
ap-1420	59	8	c	c	NOUN
ap-1420	59	9	)	)	PUNCT
ap-1420	59	10	→	→	SYM
ap-1420	59	11	0	0	NUM
ap-1420	59	12	+	+	NUM
ap-1420	59	13	the	the	DET
ap-1420	59	14	two	two	NUM
ap-1420	59	15	pairs	pair	NOUN
ap-1420	59	16	of	of	ADP
ap-1420	59	17	energies	energy	NOUN
ap-1420	59	18	approach	approach	VERB
ap-1420	59	19	the	the	DET
ap-1420	59	20	two	two	NUM
ap-1420	59	21	distinct	distinct	ADJ
ap-1420	59	22	values	value	NOUN
ap-1420	60	1	e	e	X
ap-1420	60	2	(	(	PUNCT
ap-1420	60	3	w=0	w=0	PROPN
ap-1420	60	4	)	)	PUNCT
ap-1420	60	5	±	±	PROPN
ap-1420	60	6	=	=	SYM
ap-1420	60	7	±	±	NUM
ap-1420	60	8	√	√	PROPN
ap-1420	60	9	(	(	PUNCT
ap-1420	60	10	10	10	NUM
ap-1420	60	11	−	−	PROPN
ap-1420	60	12	a2	a2	PROPN
ap-1420	60	13	−	−	PROPN
ap-1420	60	14	2	2	NUM
ap-1420	60	15	b2	b2	NOUN
ap-1420	60	16	−	−	PROPN
ap-1420	60	17	c2)/2	c2)/2	NOUN
ap-1420	60	18	representing	represent	VERB
ap-1420	60	19	the	the	DET
ap-1420	60	20	two	two	NUM
ap-1420	60	21	limiting	limit	VERB
ap-1420	60	22	doubly	doubly	ADV
ap-1420	60	23	-	-	PUNCT
ap-1420	60	24	degenerate	degenerate	ADJ
ap-1420	60	25	energies	energy	NOUN
ap-1420	60	26	;	;	PUNCT
ap-1420	60	27	2	2	X
ap-1420	60	28	.	.	X
ap-1420	61	1	whenever	whenever	SCONJ
ap-1420	61	2	q(a	q(a	NOUN
ap-1420	61	3	,	,	PUNCT
ap-1420	61	4	b	b	NOUN
ap-1420	61	5	,	,	PUNCT
ap-1420	61	6	c	c	NOUN
ap-1420	61	7	)	)	PUNCT
ap-1420	61	8	→	→	SYM
ap-1420	61	9	0	0	NUM
ap-1420	62	1	+	+	CCONJ
ap-1420	62	2	just	just	ADV
ap-1420	62	3	the	the	DET
ap-1420	62	4	two	two	NUM
ap-1420	62	5	energies	energy	NOUN
ap-1420	62	6	move	move	VERB
ap-1420	62	7	to	to	ADP
ap-1420	62	8	zero	zero	NUM
ap-1420	62	9	while	while	SCONJ
ap-1420	62	10	the	the	DET
ap-1420	62	11	other	other	ADJ
ap-1420	62	12	two	two	NUM
ap-1420	62	13	energies	energy	NOUN
ap-1420	62	14	do	do	AUX
ap-1420	62	15	not	not	PART
ap-1420	62	16	vanish	vanish	VERB
ap-1420	62	17	in	in	ADP
ap-1420	62	18	general	general	ADJ
ap-1420	62	19	,	,	PUNCT
ap-1420	62	20	e0,3	e0,3	ADV
ap-1420	62	21	=	=	SYM
ap-1420	62	22	±	±	NOUN
ap-1420	63	1	√	√	NUM
ap-1420	63	2	10	10	NUM
ap-1420	63	3	−	−	PROPN
ap-1420	63	4	a2	a2	PROPN
ap-1420	63	5	−	−	PROPN
ap-1420	63	6	2	2	NUM
ap-1420	63	7	b2	b2	NOUN
ap-1420	63	8	−	−	PROPN
ap-1420	63	9	c2	c2	PROPN
ap-1420	63	10	;	;	PUNCT
ap-1420	63	11	3	3	X
ap-1420	63	12	.	.	X
ap-1420	64	1	for	for	ADP
ap-1420	64	2	p	p	PROPN
ap-1420	64	3	(	(	PUNCT
ap-1420	64	4	a	a	PRON
ap-1420	64	5	,	,	PUNCT
ap-1420	64	6	b	b	NOUN
ap-1420	64	7	,	,	PUNCT
ap-1420	64	8	c	c	NOUN
ap-1420	64	9	)	)	PUNCT
ap-1420	64	10	→	→	SYM
ap-1420	64	11	0	0	X
ap-1420	64	12	+	+	CCONJ
ap-1420	64	13	we	we	PRON
ap-1420	64	14	must	must	AUX
ap-1420	64	15	expect	expect	VERB
ap-1420	64	16	that	that	SCONJ
ap-1420	64	17	all	all	PRON
ap-1420	64	18	of	of	ADP
ap-1420	64	19	the	the	DET
ap-1420	64	20	four	four	NUM
ap-1420	64	21	real	real	ADJ
ap-1420	64	22	energies	energy	NOUN
ap-1420	64	23	will	will	AUX
ap-1420	64	24	vanish	vanish	VERB
ap-1420	64	25	simultaneously	simultaneously	ADV
ap-1420	64	26	.	.	PUNCT
ap-1420	65	1	3	3	NUM
ap-1420	65	2	two	two	NUM
ap-1420	65	3	-	-	PUNCT
ap-1420	65	4	parametric	parametric	ADJ
ap-1420	65	5	simplified	simplified	ADJ
ap-1420	65	6	versions	version	NOUN
ap-1420	65	7	of	of	ADP
ap-1420	65	8	the	the	DET
ap-1420	65	9	circular	circular	ADJ
ap-1420	65	10	four	four	NUM
ap-1420	65	11	-	-	PUNCT
ap-1420	65	12	site	site	NOUN
ap-1420	65	13	lattice	lattice	NOUN
ap-1420	65	14	3.1	3.1	NUM
ap-1420	65	15	the	the	DET
ap-1420	65	16	case	case	NOUN
ap-1420	65	17	of	of	ADP
ap-1420	65	18	a	a	DET
ap-1420	65	19	=	=	NOUN
ap-1420	65	20	0	0	NUM
ap-1420	65	21	naturally	naturally	ADV
ap-1420	65	22	,	,	PUNCT
ap-1420	65	23	in	in	ADP
ap-1420	65	24	the	the	DET
ap-1420	65	25	no	no	DET
ap-1420	65	26	-	-	PUNCT
ap-1420	65	27	upper	upper	ADJ
ap-1420	65	28	-	-	PUNCT
ap-1420	65	29	interaction	interaction	NOUN
ap-1420	65	30	limit	limit	NOUN
ap-1420	65	31	lim	lim	PROPN
ap-1420	65	32	a→0	a→0	ADV
ap-1420	65	33	h(4)(a	h(4)(a	NOUN
ap-1420	65	34	,	,	PUNCT
ap-1420	65	35	b	b	NOUN
ap-1420	65	36	,	,	PUNCT
ap-1420	65	37	c	c	NOUN
ap-1420	65	38	)	)	PUNCT
ap-1420	65	39	=	=	SYM
ap-1420	65	40	h(4)(b	h(4)(b	ADJ
ap-1420	65	41	,	,	PUNCT
ap-1420	65	42	c	c	X
ap-1420	65	43	)	)	PUNCT
ap-1420	65	44	we	we	PRON
ap-1420	65	45	return	return	VERB
ap-1420	65	46	to	to	ADP
ap-1420	65	47	the	the	DET
ap-1420	65	48	elementary	elementary	ADJ
ap-1420	65	49	straight	straight	ADJ
ap-1420	65	50	-	-	PUNCT
ap-1420	65	51	line	line	NOUN
ap-1420	65	52	model	model	NOUN
ap-1420	65	53	of	of	ADP
ap-1420	65	54	figure	figure	NOUN
ap-1420	65	55	1	1	NUM
ap-1420	65	56	.	.	PUNCT
ap-1420	66	1	for	for	ADP
ap-1420	66	2	our	our	PRON
ap-1420	66	3	present	present	ADJ
ap-1420	66	4	purposes	purpose	NOUN
ap-1420	66	5	it	it	PRON
ap-1420	66	6	is	be	AUX
ap-1420	66	7	then	then	ADV
ap-1420	66	8	sufficient	sufficient	ADJ
ap-1420	66	9	to	to	PART
ap-1420	66	10	recall	recall	VERB
ap-1420	66	11	that	that	SCONJ
ap-1420	66	12	the	the	DET
ap-1420	66	13	main	main	ADJ
ap-1420	66	14	features	feature	NOUN
ap-1420	66	15	of	of	ADP
ap-1420	66	16	such	such	DET
ap-1420	66	17	a	a	DET
ap-1420	66	18	simplified	simplified	ADJ
ap-1420	66	19	model	model	NOUN
ap-1420	66	20	were	be	AUX
ap-1420	66	21	described	describe	VERB
ap-1420	66	22	in	in	ADP
ap-1420	66	23	refs	ref	NOUN
ap-1420	66	24	.	.	PUNCT
ap-1420	67	1	[	[	X
ap-1420	67	2	7	7	NUM
ap-1420	67	3	]	]	PUNCT
ap-1420	67	4	.	.	PUNCT
ap-1420	68	1	in	in	ADP
ap-1420	68	2	particular	particular	ADJ
ap-1420	68	3	,	,	PUNCT
ap-1420	68	4	we	we	PRON
ap-1420	68	5	know	know	VERB
ap-1420	68	6	that	that	SCONJ
ap-1420	68	7	105	105	NUM
ap-1420	68	8	acta	acta	PROPN
ap-1420	68	9	polytechnica	polytechnica	PROPN
ap-1420	68	10	vol	vol	NOUN
ap-1420	68	11	.	.	PUNCT
ap-1420	69	1	51	51	NUM
ap-1420	69	2	no	no	INTJ
ap-1420	69	3	.	.	PUNCT
ap-1420	70	1	4/2011	4/2011	NUM
ap-1420	70	2	at	at	ADP
ap-1420	70	3	n	n	NOUN
ap-1420	70	4	=	=	SYM
ap-1420	70	5	4	4	NUM
ap-1420	70	6	the	the	DET
ap-1420	70	7	spectrum	spectrum	NOUN
ap-1420	70	8	of	of	ADP
ap-1420	70	9	energies	energy	NOUN
ap-1420	70	10	remains	remain	VERB
ap-1420	70	11	real	real	ADJ
ap-1420	70	12	and	and	CCONJ
ap-1420	70	13	nondegenerate	nondegenerate	NOUN
ap-1420	70	14	inside	inside	ADP
ap-1420	70	15	the	the	DET
ap-1420	70	16	innermost	innermost	NOUN
ap-1420	70	17	star	star	NOUN
ap-1420	70	18	-	-	PUNCT
ap-1420	70	19	shaped	shape	VERB
ap-1420	70	20	domain	domain	NOUN
ap-1420	70	21	d(h	d(h	PROPN
ap-1420	70	22	)	)	PUNCT
ap-1420	71	1	⊂	⊂	PROPN
ap-1420	71	2	r	r	NOUN
ap-1420	71	3	2	2	NUM
ap-1420	71	4	shown	show	VERB
ap-1420	71	5	,	,	PUNCT
ap-1420	71	6	in	in	ADP
ap-1420	71	7	figure	figure	NOUN
ap-1420	71	8	3	3	NUM
ap-1420	71	9	,	,	PUNCT
ap-1420	71	10	as	as	ADP
ap-1420	71	11	lying	lie	VERB
ap-1420	71	12	inside	inside	ADP
ap-1420	71	13	an	an	DET
ap-1420	71	14	auxiliary	auxiliary	ADJ
ap-1420	71	15	circumscribed	circumscribed	ADJ
ap-1420	71	16	ellipse	ellipse	NOUN
ap-1420	71	17	.	.	PUNCT
ap-1420	72	1	the	the	DET
ap-1420	72	2	boundary	boundary	PROPN
ap-1420	72	3	∂d(h	∂d(h	PROPN
ap-1420	72	4	)	)	PUNCT
ap-1420	72	5	(	(	PUNCT
ap-1420	72	6	i.e.	i.e.	X
ap-1420	72	7	,	,	PUNCT
ap-1420	72	8	the	the	DET
ap-1420	72	9	physical	physical	ADJ
ap-1420	72	10	horizon	horizon	NOUN
ap-1420	72	11	of	of	ADP
ap-1420	72	12	the	the	DET
ap-1420	72	13	system	system	NOUN
ap-1420	72	14	in	in	ADP
ap-1420	72	15	question	question	NOUN
ap-1420	72	16	)	)	PUNCT
ap-1420	72	17	is	be	AUX
ap-1420	72	18	composed	compose	VERB
ap-1420	72	19	of	of	ADP
ap-1420	72	20	four	four	NUM
ap-1420	72	21	hyperbola	hyperbola	PROPN
ap-1420	72	22	-	-	PUNCT
ap-1420	72	23	shaped	shape	VERB
ap-1420	72	24	curves	curve	NOUN
ap-1420	72	25	.	.	PUNCT
ap-1420	73	1	the	the	DET
ap-1420	73	2	key	key	ADJ
ap-1420	73	3	features	feature	NOUN
ap-1420	73	4	of	of	ADP
ap-1420	73	5	this	this	DET
ap-1420	73	6	example	example	NOUN
ap-1420	73	7	(	(	PUNCT
ap-1420	73	8	like	like	ADP
ap-1420	73	9	the	the	DET
ap-1420	73	10	triple	triple	ADJ
ap-1420	73	11	intersections	intersection	NOUN
ap-1420	73	12	of	of	ADP
ap-1420	73	13	the	the	DET
ap-1420	73	14	boundaries	boundary	NOUN
ap-1420	73	15	,	,	PUNCT
ap-1420	73	16	etc	etc	X
ap-1420	73	17	.	.	X
ap-1420	73	18	)	)	PUNCT
ap-1420	73	19	generalize	generalize	VERB
ap-1420	73	20	,	,	PUNCT
ap-1420	73	21	mutatis	mutatis	NOUN
ap-1420	73	22	mutandis	mutandi	NOUN
ap-1420	73	23	,	,	PUNCT
ap-1420	73	24	to	to	ADP
ap-1420	73	25	the	the	DET
ap-1420	73	26	family	family	NOUN
ap-1420	73	27	of	of	ADP
ap-1420	73	28	the	the	DET
ap-1420	73	29	similar	similar	ADJ
ap-1420	73	30	models	model	NOUN
ap-1420	73	31	at	at	ADP
ap-1420	73	32	all	all	PRON
ap-1420	73	33	of	of	ADP
ap-1420	73	34	the	the	DET
ap-1420	73	35	dimensions	dimension	NOUN
ap-1420	73	36	n	n	CCONJ
ap-1420	73	37	<	<	X
ap-1420	73	38	∞	∞	NUM
ap-1420	74	1	[	[	X
ap-1420	74	2	8	8	NUM
ap-1420	74	3	]	]	SYM
ap-1420	74	4	.	.	PUNCT
ap-1420	74	5	2	2	NUM
ap-1420	74	6	1	1	NUM
ap-1420	74	7	0	0	NUM
ap-1420	74	8	–	–	PUNCT
ap-1420	74	9	1	1	NUM
ap-1420	74	10	–	–	SYM
ap-1420	74	11	2	2	NUM
ap-1420	74	12	–	–	SYM
ap-1420	74	13	3	3	NUM
ap-1420	74	14	–	–	SYM
ap-1420	74	15	2	2	NUM
ap-1420	74	16	–	–	SYM
ap-1420	74	17	1	1	NUM
ap-1420	74	18	0	0	NUM
ap-1420	74	19	1	1	NUM
ap-1420	74	20	2	2	NUM
ap-1420	74	21	3	3	NUM
ap-1420	74	22	c	c	NOUN
ap-1420	74	23	b	b	PROPN
ap-1420	74	24	fig	fig	NOUN
ap-1420	74	25	.	.	PUNCT
ap-1420	75	1	3	3	NUM
ap-1420	75	2	:	:	PUNCT
ap-1420	75	3	the	the	DET
ap-1420	75	4	graphical	graphical	ADJ
ap-1420	75	5	determination	determination	NOUN
ap-1420	75	6	of	of	ADP
ap-1420	75	7	the	the	DET
ap-1420	75	8	innermost	innermost	ADJ
ap-1420	75	9	star	star	NOUN
ap-1420	75	10	-	-	PUNCT
ap-1420	75	11	shaped	shape	VERB
ap-1420	75	12	domain	domain	NOUN
ap-1420	75	13	d(h	d(h	PROPN
ap-1420	75	14	)	)	PUNCT
ap-1420	75	15	as	as	SCONJ
ap-1420	75	16	assigned	assign	VERB
ap-1420	75	17	to	to	ADP
ap-1420	75	18	the	the	DET
ap-1420	75	19	quantum	quantum	ADJ
ap-1420	75	20	lattice	lattice	NOUN
ap-1420	75	21	of	of	ADP
ap-1420	75	22	figure	figure	NOUN
ap-1420	75	23	1	1	NUM
ap-1420	75	24	in	in	ADP
ap-1420	75	25	refs	ref	NOUN
ap-1420	75	26	.	.	PUNCT
ap-1420	76	1	[	[	X
ap-1420	76	2	7	7	X
ap-1420	76	3	]	]	X
ap-1420	76	4	we	we	PRON
ap-1420	76	5	are	be	AUX
ap-1420	76	6	now	now	ADV
ap-1420	76	7	prepared	prepared	ADJ
ap-1420	76	8	to	to	PART
ap-1420	76	9	replace	replace	VERB
ap-1420	76	10	the	the	DET
ap-1420	76	11	elementary	elementary	ADJ
ap-1420	76	12	and	and	CCONJ
ap-1420	76	13	transparent	transparent	ADJ
ap-1420	76	14	graphical	graphical	ADJ
ap-1420	76	15	determination	determination	NOUN
ap-1420	76	16	of	of	ADP
ap-1420	76	17	the	the	DET
ap-1420	76	18	starshaped	starshape	VERB
ap-1420	76	19	domain	domain	PROPN
ap-1420	76	20	d(h	d(h	PROPN
ap-1420	76	21	)	)	PUNCT
ap-1420	76	22	assigned	assign	VERB
ap-1420	76	23	to	to	ADP
ap-1420	76	24	the	the	DET
ap-1420	76	25	straight	straight	ADJ
ap-1420	76	26	-	-	PUNCT
ap-1420	76	27	line	line	NOUN
ap-1420	76	28	quantum	quantum	NOUN
ap-1420	76	29	lattice	lattice	NOUN
ap-1420	76	30	and	and	CCONJ
ap-1420	76	31	displayed	display	VERB
ap-1420	76	32	in	in	ADP
ap-1420	76	33	figure	figure	NOUN
ap-1420	76	34	3	3	NUM
ap-1420	76	35	by	by	ADP
ap-1420	76	36	its	its	PRON
ap-1420	76	37	much	much	ADV
ap-1420	76	38	more	more	ADV
ap-1420	76	39	complicated	complicated	ADJ
ap-1420	76	40	a	a	DET
ap-1420	76	41	�	�	NOUN
ap-1420	76	42	=	=	SYM
ap-1420	76	43	0	0	NUM
ap-1420	76	44	analogue	analogue	NOUN
ap-1420	76	45	.	.	PUNCT
ap-1420	77	1	at	at	ADP
ap-1420	77	2	a	a	DET
ap-1420	77	3	freely	freely	ADV
ap-1420	77	4	variable	variable	NOUN
ap-1420	77	5	a	a	DET
ap-1420	77	6	the	the	DET
ap-1420	77	7	knowledge	knowledge	NOUN
ap-1420	77	8	of	of	ADP
ap-1420	77	9	the	the	DET
ap-1420	77	10	a	a	DET
ap-1420	77	11	=	=	SYM
ap-1420	77	12	0	0	NUM
ap-1420	77	13	section	section	NOUN
ap-1420	77	14	may	may	AUX
ap-1420	77	15	serve	serve	VERB
ap-1420	77	16	us	we	PRON
ap-1420	77	17	and	and	CCONJ
ap-1420	77	18	will	will	AUX
ap-1420	77	19	still	still	ADV
ap-1420	77	20	serve	serve	VERB
ap-1420	77	21	us	we	PRON
ap-1420	77	22	as	as	ADP
ap-1420	77	23	a	a	DET
ap-1420	77	24	very	very	ADV
ap-1420	77	25	useful	useful	ADJ
ap-1420	77	26	independent	independent	ADJ
ap-1420	77	27	test	test	NOUN
ap-1420	77	28	of	of	ADP
ap-1420	77	29	our	our	PRON
ap-1420	77	30	forthcoming	forthcoming	ADJ
ap-1420	77	31	observations	observation	NOUN
ap-1420	77	32	and	and	CCONJ
ap-1420	77	33	conclusions	conclusion	NOUN
ap-1420	77	34	.	.	PUNCT
ap-1420	78	1	3.2	3.2	NUM
ap-1420	78	2	the	the	DET
ap-1420	78	3	case	case	NOUN
ap-1420	78	4	of	of	ADP
ap-1420	78	5	b	b	NOUN
ap-1420	78	6	=	=	SYM
ap-1420	78	7	0	0	PROPN
ap-1420	78	8	our	our	PRON
ap-1420	78	9	four	four	NUM
ap-1420	78	10	-	-	PUNCT
ap-1420	78	11	site	site	NOUN
ap-1420	78	12	toy	toy	NOUN
ap-1420	78	13	model	model	NOUN
ap-1420	78	14	h(4)(a	h(4)(a	NOUN
ap-1420	78	15	,	,	PUNCT
ap-1420	78	16	b	b	NOUN
ap-1420	78	17	,	,	PUNCT
ap-1420	78	18	c	c	NOUN
ap-1420	78	19	)	)	PUNCT
ap-1420	78	20	degenerates	degenerate	NOUN
ap-1420	78	21	to	to	ADP
ap-1420	78	22	the	the	DET
ap-1420	78	23	trivial	trivial	ADJ
ap-1420	78	24	non	non	ADJ
ap-1420	78	25	-	-	ADJ
ap-1420	78	26	interacting	interacting	ADJ
ap-1420	78	27	composition	composition	NOUN
ap-1420	78	28	(	(	PUNCT
ap-1420	78	29	i.e.	i.e.	X
ap-1420	78	30	,	,	PUNCT
ap-1420	78	31	the	the	DET
ap-1420	78	32	direct	direct	ADJ
ap-1420	78	33	sum	sum	NOUN
ap-1420	78	34	)	)	PUNCT
ap-1420	78	35	of	of	ADP
ap-1420	78	36	the	the	DET
ap-1420	78	37	two	two	NUM
ap-1420	78	38	n	n	NOUN
ap-1420	78	39	=	=	SYM
ap-1420	78	40	2	2	NUM
ap-1420	78	41	models	model	NOUN
ap-1420	78	42	at	at	ADP
ap-1420	78	43	b	b	NOUN
ap-1420	78	44	=	=	SYM
ap-1420	78	45	0	0	PROPN
ap-1420	78	46	.	.	PUNCT
ap-1420	79	1	for	for	ADP
ap-1420	79	2	this	this	DET
ap-1420	79	3	reason	reason	NOUN
ap-1420	79	4	the	the	DET
ap-1420	79	5	b	b	NOUN
ap-1420	79	6	=	=	SYM
ap-1420	79	7	0	0	NUM
ap-1420	79	8	limiting	limiting	NOUN
ap-1420	79	9	case	case	NOUN
ap-1420	79	10	should	should	AUX
ap-1420	79	11	be	be	AUX
ap-1420	79	12	considered	consider	VERB
ap-1420	79	13	exceptional	exceptional	ADJ
ap-1420	79	14	.	.	PUNCT
ap-1420	80	1	in	in	ADP
ap-1420	80	2	the	the	DET
ap-1420	80	3	b	b	NOUN
ap-1420	80	4	=	=	SYM
ap-1420	80	5	0	0	NUM
ap-1420	80	6	two	two	NUM
ap-1420	80	7	-	-	PUNCT
ap-1420	80	8	dimensional	dimensional	ADJ
ap-1420	80	9	special	special	ADJ
ap-1420	80	10	case	case	NOUN
ap-1420	80	11	,	,	PUNCT
ap-1420	80	12	even	even	ADV
ap-1420	80	13	the	the	DET
ap-1420	80	14	general	general	ADJ
ap-1420	80	15	definition	definition	NOUN
ap-1420	80	16	of	of	ADP
ap-1420	80	17	the	the	DET
ap-1420	80	18	domain	domain	NOUN
ap-1420	80	19	d(h	d(h	PROPN
ap-1420	80	20	)	)	PUNCT
ap-1420	80	21	is	be	AUX
ap-1420	80	22	slightly	slightly	ADV
ap-1420	80	23	misleading	misleading	ADJ
ap-1420	80	24	.	.	PUNCT
ap-1420	81	1	indeed	indeed	ADV
ap-1420	81	2	,	,	PUNCT
ap-1420	81	3	figure	figure	VERB
ap-1420	81	4	4	4	NUM
ap-1420	81	5	,	,	PUNCT
ap-1420	81	6	which	which	PRON
ap-1420	81	7	displays	display	VERB
ap-1420	81	8	the	the	DET
ap-1420	81	9	three	three	NUM
ap-1420	81	10	sets	set	NOUN
ap-1420	81	11	of	of	ADP
ap-1420	81	12	boundaries	boundary	NOUN
ap-1420	81	13	(	(	PUNCT
ap-1420	81	14	viz	viz	PROPN
ap-1420	81	15	.	.	PROPN
ap-1420	81	16	,	,	PUNCT
ap-1420	81	17	the	the	DET
ap-1420	81	18	two	two	NUM
ap-1420	81	19	hyperbolas	hyperbola	NOUN
ap-1420	81	20	w	w	PROPN
ap-1420	81	21	(	(	PUNCT
ap-1420	81	22	a	a	PRON
ap-1420	81	23	,	,	PUNCT
ap-1420	81	24	0	0	NUM
ap-1420	81	25	,	,	PUNCT
ap-1420	81	26	c	c	NOUN
ap-1420	81	27	)	)	PUNCT
ap-1420	82	1	=	=	SYM
ap-1420	82	2	0	0	NUM
ap-1420	82	3	,	,	PUNCT
ap-1420	82	4	the	the	DET
ap-1420	82	5	four	four	NUM
ap-1420	82	6	straight	straight	ADJ
ap-1420	82	7	lines	line	NOUN
ap-1420	82	8	q(a	q(a	PROPN
ap-1420	82	9	,	,	PUNCT
ap-1420	82	10	0	0	NUM
ap-1420	82	11	,	,	PUNCT
ap-1420	82	12	c	c	NOUN
ap-1420	82	13	)	)	PUNCT
ap-1420	82	14	=	=	SYM
ap-1420	82	15	0	0	NUM
ap-1420	82	16	and	and	CCONJ
ap-1420	82	17	the	the	DET
ap-1420	82	18	single	single	ADJ
ap-1420	82	19	circle	circle	NOUN
ap-1420	82	20	p	p	PROPN
ap-1420	82	21	(	(	PUNCT
ap-1420	82	22	a	a	PRON
ap-1420	82	23	,	,	PUNCT
ap-1420	82	24	0	0	NUM
ap-1420	82	25	,	,	PUNCT
ap-1420	82	26	c	c	NOUN
ap-1420	82	27	)	)	PUNCT
ap-1420	82	28	=	=	SYM
ap-1420	82	29	0	0	NUM
ap-1420	82	30	,	,	PUNCT
ap-1420	82	31	respectively	respectively	ADV
ap-1420	82	32	)	)	PUNCT
ap-1420	82	33	,	,	PUNCT
ap-1420	82	34	should	should	AUX
ap-1420	82	35	not	not	PART
ap-1420	82	36	be	be	AUX
ap-1420	82	37	taken	take	VERB
ap-1420	82	38	too	too	ADV
ap-1420	82	39	literally	literally	ADV
ap-1420	82	40	.	.	PUNCT
ap-1420	83	1	one	one	NUM
ap-1420	83	2	of	of	ADP
ap-1420	83	3	the	the	DET
ap-1420	83	4	boundaries	boundary	NOUN
ap-1420	83	5	(	(	PUNCT
ap-1420	83	6	viz	viz	PROPN
ap-1420	83	7	.	.	PROPN
ap-1420	83	8	,	,	PUNCT
ap-1420	83	9	the	the	DET
ap-1420	83	10	doublet	doublet	NOUN
ap-1420	83	11	of	of	ADP
ap-1420	83	12	hyperbolas	hyperbolas	PROPN
ap-1420	83	13	w	w	PROPN
ap-1420	83	14	(	(	PUNCT
ap-1420	83	15	a	a	PRON
ap-1420	83	16	,	,	PUNCT
ap-1420	83	17	0	0	NUM
ap-1420	83	18	,	,	PUNCT
ap-1420	83	19	c	c	NOUN
ap-1420	83	20	)	)	PUNCT
ap-1420	83	21	=	=	SYM
ap-1420	83	22	0	0	X
ap-1420	83	23	)	)	PUNCT
ap-1420	83	24	describes	describe	VERB
ap-1420	83	25	in	in	ADP
ap-1420	83	26	fact	fact	NOUN
ap-1420	83	27	a	a	DET
ap-1420	83	28	sign	sign	VERB
ap-1420	83	29	-	-	PUNCT
ap-1420	83	30	non	non	NOUN
ap-1420	83	31	-	-	ADJ
ap-1420	83	32	changing	change	VERB
ap-1420	83	33	(	(	PUNCT
ap-1420	83	34	i.e.	i.e.	X
ap-1420	83	35	,	,	PUNCT
ap-1420	83	36	the	the	DET
ap-1420	83	37	realityof	realityof	NOUN
ap-1420	83	38	-	-	PUNCT
ap-1420	83	39	energies	energy	NOUN
ap-1420	83	40	non	non	ADJ
ap-1420	83	41	-	-	ADJ
ap-1420	83	42	changing	changing	ADJ
ap-1420	83	43	)	)	PUNCT
ap-1420	83	44	curve	curve	NOUN
ap-1420	83	45	of	of	ADP
ap-1420	83	46	the	the	DET
ap-1420	83	47	doubly	doubly	ADV
ap-1420	83	48	degenerate	degenerate	ADJ
ap-1420	83	49	(	(	PUNCT
ap-1420	83	50	and	and	CCONJ
ap-1420	83	51	,	,	PUNCT
ap-1420	83	52	hence	hence	ADV
ap-1420	83	53	,	,	PUNCT
ap-1420	83	54	irrelevant	irrelevant	ADJ
ap-1420	83	55	and	and	CCONJ
ap-1420	83	56	removable	removable	ADJ
ap-1420	83	57	)	)	PUNCT
ap-1420	83	58	zeros	zero	NOUN
ap-1420	83	59	of	of	ADP
ap-1420	83	60	the	the	DET
ap-1420	83	61	function	function	NOUN
ap-1420	83	62	w	w	PROPN
ap-1420	83	63	(	(	PUNCT
ap-1420	83	64	a	a	PRON
ap-1420	83	65	,	,	PUNCT
ap-1420	83	66	0	0	NUM
ap-1420	83	67	,	,	PUNCT
ap-1420	83	68	c	c	NOUN
ap-1420	83	69	)	)	PUNCT
ap-1420	83	70	=	=	SYM
ap-1420	84	1	(	(	PUNCT
ap-1420	84	2	8	8	NUM
ap-1420	84	3	+	+	NUM
ap-1420	84	4	c2	c2	PROPN
ap-1420	84	5	−	−	PROPN
ap-1420	84	6	a2)2	a2)2	NOUN
ap-1420	84	7	.	.	PUNCT
ap-1420	85	1	this	this	PRON
ap-1420	85	2	means	mean	VERB
ap-1420	85	3	that	that	SCONJ
ap-1420	85	4	at	at	ADP
ap-1420	85	5	b	b	PROPN
ap-1420	85	6	=	=	SYM
ap-1420	85	7	0	0	PROPN
ap-1420	85	8	the	the	DET
ap-1420	85	9	domain	domain	NOUN
ap-1420	85	10	d(h	d(h	PROPN
ap-1420	85	11	)	)	PUNCT
ap-1420	85	12	is	be	AUX
ap-1420	85	13	strictly	strictly	ADV
ap-1420	85	14	rectangular	rectangular	ADJ
ap-1420	85	15	and	and	CCONJ
ap-1420	85	16	strictly	strictly	ADV
ap-1420	85	17	simply	simply	ADV
ap-1420	85	18	connected	connect	VERB
ap-1420	85	19	.	.	PUNCT
ap-1420	86	1	in	in	ADP
ap-1420	86	2	this	this	DET
ap-1420	86	3	context	context	NOUN
ap-1420	86	4	one	one	NUM
ap-1420	86	5	of	of	ADP
ap-1420	86	6	the	the	DET
ap-1420	86	7	key	key	ADJ
ap-1420	86	8	messages	message	NOUN
ap-1420	86	9	of	of	ADP
ap-1420	86	10	our	our	PRON
ap-1420	86	11	present	present	ADJ
ap-1420	86	12	study	study	NOUN
ap-1420	86	13	is	be	AUX
ap-1420	86	14	the	the	DET
ap-1420	86	15	surprising	surprising	ADJ
ap-1420	86	16	discovery	discovery	NOUN
ap-1420	86	17	of	of	ADP
ap-1420	86	18	the	the	DET
ap-1420	86	19	loss	loss	NOUN
ap-1420	86	20	of	of	ADP
ap-1420	86	21	both	both	PRON
ap-1420	86	22	of	of	ADP
ap-1420	86	23	these	these	DET
ap-1420	86	24	properties	property	NOUN
ap-1420	86	25	in	in	ADP
ap-1420	86	26	the	the	DET
ap-1420	86	27	general	general	ADJ
ap-1420	86	28	case	case	NOUN
ap-1420	86	29	with	with	ADP
ap-1420	86	30	the	the	DET
ap-1420	86	31	freely	freely	ADV
ap-1420	86	32	variable	variable	ADJ
ap-1420	86	33	coupling	coupling	NOUN
ap-1420	86	34	strength	strength	PROPN
ap-1420	86	35	b.	b.	PROPN
ap-1420	86	36	incidentally	incidentally	ADV
ap-1420	86	37	,	,	PUNCT
ap-1420	86	38	the	the	DET
ap-1420	86	39	multinomial	multinomial	PROPN
ap-1420	86	40	w	w	PROPN
ap-1420	86	41	(	(	PUNCT
ap-1420	86	42	a	a	PRON
ap-1420	86	43	,	,	PUNCT
ap-1420	86	44	bspec	bspec	NOUN
ap-1420	86	45	,	,	PUNCT
ap-1420	86	46	c	c	X
ap-1420	86	47	)	)	PUNCT
ap-1420	86	48	becomes	become	VERB
ap-1420	86	49	factorizable	factorizable	NOUN
ap-1420	86	50	also	also	ADV
ap-1420	86	51	at	at	ADP
ap-1420	86	52	bspec	bspec	NOUN
ap-1420	86	53	=	=	PUNCT
ap-1420	86	54	1	1	NUM
ap-1420	86	55	,	,	PUNCT
ap-1420	86	56	w	w	NOUN
ap-1420	86	57	(	(	PUNCT
ap-1420	86	58	a	a	DET
ap-1420	86	59	,	,	PUNCT
ap-1420	86	60	1	1	NUM
ap-1420	86	61	,	,	PUNCT
ap-1420	86	62	c	c	NOUN
ap-1420	86	63	)	)	PUNCT
ap-1420	86	64	=	=	NOUN
ap-1420	86	65	(	(	PUNCT
ap-1420	86	66	a	a	DET
ap-1420	86	67	+	+	X
ap-1420	86	68	c	c	NOUN
ap-1420	86	69	)	)	PUNCT
ap-1420	86	70	·	·	PUNCT
ap-1420	86	71	(	(	PUNCT
ap-1420	86	72	a3	a3	NOUN
ap-1420	86	73	−	−	PROPN
ap-1420	86	74	ca2	ca2	PROPN
ap-1420	86	75	−	−	PROPN
ap-1420	86	76	12	12	NUM
ap-1420	86	77	a−	a−	NOUN
ap-1420	86	78	c2a	c2a	PROPN
ap-1420	86	79	+	+	CCONJ
ap-1420	86	80	20	20	NUM
ap-1420	86	81	c	c	NOUN
ap-1420	86	82	+	+	CCONJ
ap-1420	86	83	c3	c3	PROPN
ap-1420	86	84	)	)	PUNCT
ap-1420	86	85	.	.	PUNCT
ap-1420	87	1	this	this	PRON
ap-1420	87	2	is	be	AUX
ap-1420	87	3	an	an	DET
ap-1420	87	4	artifact	artifact	NOUN
ap-1420	87	5	which	which	PRON
ap-1420	87	6	does	do	AUX
ap-1420	87	7	not	not	PART
ap-1420	87	8	carry	carry	VERB
ap-1420	87	9	any	any	DET
ap-1420	87	10	immediate	immediate	ADJ
ap-1420	87	11	physical	physical	ADJ
ap-1420	87	12	meaning	meaning	NOUN
ap-1420	87	13	.	.	PUNCT
ap-1420	88	1	its	its	PRON
ap-1420	88	2	manifestation	manifestation	NOUN
ap-1420	88	3	is	be	AUX
ap-1420	88	4	of	of	ADP
ap-1420	88	5	a	a	DET
ap-1420	88	6	purely	purely	ADV
ap-1420	88	7	geometrical	geometrical	ADJ
ap-1420	88	8	character	character	NOUN
ap-1420	88	9	,	,	PUNCT
ap-1420	88	10	which	which	PRON
ap-1420	88	11	will	will	AUX
ap-1420	88	12	only	only	ADV
ap-1420	88	13	be	be	AUX
ap-1420	88	14	briefly	briefly	ADV
ap-1420	88	15	mentioned	mention	VERB
ap-1420	88	16	later	later	ADV
ap-1420	88	17	.	.	PUNCT
ap-1420	89	1	3.3	3.3	NUM
ap-1420	89	2	the	the	DET
ap-1420	89	3	case	case	NOUN
ap-1420	89	4	of	of	ADP
ap-1420	89	5	c	c	NOUN
ap-1420	89	6	=	=	SYM
ap-1420	89	7	0	0	NUM
ap-1420	89	8	in	in	ADP
ap-1420	89	9	the	the	DET
ap-1420	89	10	third	third	ADJ
ap-1420	89	11	(	(	PUNCT
ap-1420	89	12	and	and	CCONJ
ap-1420	89	13	last	last	ADJ
ap-1420	89	14	)	)	PUNCT
ap-1420	89	15	preparatory	preparatory	ADJ
ap-1420	89	16	step	step	NOUN
ap-1420	89	17	,	,	PUNCT
ap-1420	89	18	let	let	VERB
ap-1420	89	19	us	we	PRON
ap-1420	89	20	discuss	discuss	VERB
ap-1420	89	21	the	the	DET
ap-1420	89	22	vanishing	vanish	VERB
ap-1420	89	23	-	-	PUNCT
ap-1420	89	24	coupling	couple	VERB
ap-1420	89	25	special	special	ADJ
ap-1420	89	26	case	case	NOUN
ap-1420	89	27	in	in	ADP
ap-1420	89	28	which	which	PRON
ap-1420	89	29	c	c	NOUN
ap-1420	89	30	=	=	SYM
ap-1420	89	31	0	0	PROPN
ap-1420	89	32	and	and	CCONJ
ap-1420	89	33	w	w	PROPN
ap-1420	89	34	(	(	PUNCT
ap-1420	89	35	a	a	DET
ap-1420	89	36	,	,	PUNCT
ap-1420	89	37	b	b	NOUN
ap-1420	89	38	,	,	PUNCT
ap-1420	89	39	0	0	NUM
ap-1420	89	40	)	)	PUNCT
ap-1420	89	41	=	=	NOUN
ap-1420	89	42	(	(	PUNCT
ap-1420	89	43	8	8	NUM
ap-1420	89	44	−	−	PROPN
ap-1420	89	45	a2	a2	PROPN
ap-1420	89	46	)	)	PUNCT
ap-1420	90	1	2	2	NUM
ap-1420	90	2	−	−	NOUN
ap-1420	90	3	4	4	NUM
ap-1420	90	4	[	[	PUNCT
ap-1420	90	5	16	16	NUM
ap-1420	90	6	−	−	PROPN
ap-1420	90	7	a2	a2	PROPN
ap-1420	90	8	]	]	PUNCT
ap-1420	90	9	b2	b2	NOUN
ap-1420	90	10	,	,	PUNCT
ap-1420	90	11	(	(	PUNCT
ap-1420	90	12	7	7	X
ap-1420	90	13	)	)	PUNCT
ap-1420	90	14	q(a	q(a	NOUN
ap-1420	90	15	,	,	PUNCT
ap-1420	90	16	b	b	NOUN
ap-1420	90	17	,	,	PUNCT
ap-1420	90	18	0	0	NUM
ap-1420	90	19	)	)	PUNCT
ap-1420	90	20	=	=	NOUN
ap-1420	90	21	(	(	PUNCT
ap-1420	90	22	3	3	NUM
ap-1420	90	23	+	+	NUM
ap-1420	90	24	b2	b2	NOUN
ap-1420	90	25	+	+	CCONJ
ap-1420	90	26	a	a	X
ap-1420	90	27	)	)	PUNCT
ap-1420	90	28	(	(	PUNCT
ap-1420	90	29	3	3	NUM
ap-1420	90	30	+	+	NUM
ap-1420	90	31	b2	b2	NOUN
ap-1420	90	32	−	−	PROPN
ap-1420	90	33	a	a	NOUN
ap-1420	90	34	)	)	PUNCT
ap-1420	90	35	(	(	PUNCT
ap-1420	90	36	8)	8)	NUM
ap-1420	90	37	and	and	CCONJ
ap-1420	90	38	p	p	NOUN
ap-1420	90	39	(	(	PUNCT
ap-1420	90	40	a	a	PRON
ap-1420	90	41	,	,	PUNCT
ap-1420	90	42	b	b	NOUN
ap-1420	90	43	,	,	PUNCT
ap-1420	90	44	0	0	NUM
ap-1420	90	45	)	)	PUNCT
ap-1420	90	46	=	=	SYM
ap-1420	91	1	10	10	NUM
ap-1420	91	2	−	−	PROPN
ap-1420	91	3	a2	a2	PROPN
ap-1420	91	4	−	−	PROPN
ap-1420	91	5	2	2	NUM
ap-1420	91	6	b2	b2	NOUN
ap-1420	91	7	.	.	PUNCT
ap-1420	92	1	(	(	PUNCT
ap-1420	92	2	9	9	X
ap-1420	92	3	)	)	PUNCT
ap-1420	92	4	the	the	DET
ap-1420	92	5	detailed	detailed	ADJ
ap-1420	92	6	study	study	NOUN
ap-1420	92	7	of	of	ADP
ap-1420	92	8	precisely	precisely	ADV
ap-1420	92	9	this	this	DET
ap-1420	92	10	special	special	ADJ
ap-1420	92	11	case	case	NOUN
ap-1420	92	12	reveals	reveal	VERB
ap-1420	92	13	in	in	ADP
ap-1420	92	14	fact	fact	NOUN
ap-1420	92	15	the	the	DET
ap-1420	92	16	possibility	possibility	NOUN
ap-1420	92	17	of	of	ADP
ap-1420	92	18	the	the	DET
ap-1420	92	19	emergence	emergence	NOUN
ap-1420	92	20	of	of	ADP
ap-1420	92	21	a	a	DET
ap-1420	92	22	topological	topological	ADJ
ap-1420	92	23	nontriviality	nontriviality	NOUN
ap-1420	92	24	in	in	ADP
ap-1420	92	25	the	the	DET
ap-1420	92	26	general	general	ADJ
ap-1420	92	27	case	case	NOUN
ap-1420	92	28	.	.	PUNCT
ap-1420	93	1	the	the	DET
ap-1420	93	2	detailed	detailed	ADJ
ap-1420	93	3	form	form	NOUN
ap-1420	93	4	of	of	ADP
ap-1420	93	5	such	such	DET
ap-1420	93	6	a	a	DET
ap-1420	93	7	c	c	NOUN
ap-1420	93	8	=	=	SYM
ap-1420	93	9	0	0	NUM
ap-1420	93	10	hint	hint	NOUN
ap-1420	93	11	may	may	AUX
ap-1420	93	12	be	be	AUX
ap-1420	93	13	seen	see	VERB
ap-1420	93	14	in	in	ADP
ap-1420	93	15	figure	figure	NOUN
ap-1420	93	16	5	5	NUM
ap-1420	93	17	and	and	CCONJ
ap-1420	93	18	in	in	ADP
ap-1420	93	19	its	its	PRON
ap-1420	93	20	magnified	magnified	ADJ
ap-1420	93	21	version	version	NOUN
ap-1420	93	22	6	6	NUM
ap-1420	93	23	.	.	PUNCT
ap-1420	93	24	as	as	ADV
ap-1420	93	25	long	long	ADV
ap-1420	93	26	as	as	ADP
ap-1420	93	27	the	the	DET
ap-1420	93	28	–	–	PUNCT
ap-1420	93	29	3	3	NUM
ap-1420	93	30	–	–	SYM
ap-1420	93	31	2	2	NUM
ap-1420	93	32	–	–	SYM
ap-1420	93	33	1	1	NUM
ap-1420	93	34	0	0	NUM
ap-1420	93	35	1	1	NUM
ap-1420	93	36	2	2	NUM
ap-1420	93	37	3	3	NUM
ap-1420	93	38	c	c	NOUN
ap-1420	93	39	–	–	PUNCT
ap-1420	93	40	3	3	NUM
ap-1420	93	41	–	–	SYM
ap-1420	93	42	2	2	NUM
ap-1420	93	43	–	–	SYM
ap-1420	93	44	1	1	NUM
ap-1420	93	45	0	0	NUM
ap-1420	93	46	1	1	NUM
ap-1420	93	47	2	2	NUM
ap-1420	93	48	3	3	NUM
ap-1420	93	49	a	a	DET
ap-1420	93	50	fig	fig	NOUN
ap-1420	93	51	.	.	PUNCT
ap-1420	94	1	4	4	NUM
ap-1420	94	2	:	:	PUNCT
ap-1420	94	3	the	the	DET
ap-1420	94	4	degenerate	degenerate	ADJ
ap-1420	94	5	case	case	NOUN
ap-1420	94	6	of	of	ADP
ap-1420	94	7	the	the	DET
ap-1420	94	8	simply	simply	ADV
ap-1420	94	9	connected	connect	VERB
ap-1420	94	10	rectangular	rectangular	ADJ
ap-1420	94	11	domain	domain	NOUN
ap-1420	94	12	d(h	d(h	PROPN
ap-1420	94	13	)	)	PUNCT
ap-1420	94	14	at	at	ADP
ap-1420	94	15	b	b	NOUN
ap-1420	94	16	=	=	SYM
ap-1420	94	17	0	0	NUM
ap-1420	94	18	–	–	SYM
ap-1420	94	19	2	2	NUM
ap-1420	94	20	–	–	SYM
ap-1420	94	21	1	1	NUM
ap-1420	94	22	0	0	NUM
ap-1420	94	23	1	1	NUM
ap-1420	94	24	2	2	NUM
ap-1420	94	25	b	b	X
ap-1420	94	26	–	–	PUNCT
ap-1420	94	27	3	3	NUM
ap-1420	94	28	–	–	SYM
ap-1420	94	29	2	2	NUM
ap-1420	94	30	–	–	SYM
ap-1420	94	31	1	1	NUM
ap-1420	94	32	0	0	NUM
ap-1420	94	33	1	1	NUM
ap-1420	94	34	2	2	NUM
ap-1420	94	35	3	3	NUM
ap-1420	94	36	a	a	DET
ap-1420	94	37	fig	fig	NOUN
ap-1420	94	38	.	.	PUNCT
ap-1420	95	1	5	5	NUM
ap-1420	95	2	:	:	PUNCT
ap-1420	95	3	the	the	DET
ap-1420	95	4	triply	triply	ADV
ap-1420	95	5	connected	connect	VERB
ap-1420	95	6	nature	nature	NOUN
ap-1420	95	7	of	of	ADP
ap-1420	95	8	the	the	DET
ap-1420	95	9	triple	triple	ADJ
ap-1420	95	10	-	-	PUNCT
ap-1420	95	11	overlap	overlap	NOUN
ap-1420	95	12	domain	domain	NOUN
ap-1420	95	13	d(h	d(h	PROPN
ap-1420	95	14	)	)	PUNCT
ap-1420	95	15	for	for	ADP
ap-1420	95	16	the	the	DET
ap-1420	95	17	quantum	quantum	ADJ
ap-1420	95	18	lattice	lattice	NOUN
ap-1420	95	19	of	of	ADP
ap-1420	95	20	figure	figure	NOUN
ap-1420	95	21	2	2	NUM
ap-1420	95	22	at	at	ADP
ap-1420	95	23	c	c	NOUN
ap-1420	95	24	=	=	SYM
ap-1420	95	25	0	0	PUNCT
ap-1420	95	26	(	(	PUNCT
ap-1420	95	27	i.e.	i.e.	X
ap-1420	95	28	,	,	PUNCT
ap-1420	95	29	in	in	ADP
ap-1420	95	30	the	the	DET
ap-1420	95	31	no	no	DET
ap-1420	95	32	-	-	PUNCT
ap-1420	95	33	central	central	ADJ
ap-1420	95	34	-	-	PUNCT
ap-1420	95	35	coupling	coupling	NOUN
ap-1420	95	36	extreme	extreme	NOUN
ap-1420	95	37	)	)	PUNCT
ap-1420	95	38	106	106	NUM
ap-1420	95	39	acta	acta	PROPN
ap-1420	95	40	polytechnica	polytechnica	PROPN
ap-1420	95	41	vol	vol	NOUN
ap-1420	95	42	.	.	PUNCT
ap-1420	96	1	51	51	NUM
ap-1420	96	2	no	no	INTJ
ap-1420	96	3	.	.	PUNCT
ap-1420	97	1	4/2011	4/2011	NUM
ap-1420	97	2	condition	condition	NOUN
ap-1420	97	3	q(a	q(a	NOUN
ap-1420	97	4	,	,	PUNCT
ap-1420	97	5	b	b	NOUN
ap-1420	97	6	,	,	PUNCT
ap-1420	97	7	0	0	NUM
ap-1420	97	8	)	)	PUNCT
ap-1420	97	9	>	>	SYM
ap-1420	97	10	0	0	NUM
ap-1420	98	1	degenerates	degenerate	NOUN
ap-1420	98	2	to	to	ADP
ap-1420	98	3	the	the	DET
ap-1420	98	4	elementary	elementary	ADJ
ap-1420	98	5	constraint	constraint	NOUN
ap-1420	98	6	3	3	NUM
ap-1420	98	7	+	+	SYM
ap-1420	98	8	b2	b2	NOUN
ap-1420	98	9	>	>	X
ap-1420	98	10	a	a	DET
ap-1420	98	11	>	>	X
ap-1420	98	12	−3	−3	PROPN
ap-1420	98	13	−	−	PROPN
ap-1420	98	14	b2	b2	NOUN
ap-1420	98	15	just	just	ADV
ap-1420	98	16	the	the	DET
ap-1420	98	17	left	left	ADJ
ap-1420	98	18	and	and	CCONJ
ap-1420	98	19	right	right	ADJ
ap-1420	98	20	small	small	ADJ
ap-1420	98	21	horizontal	horizontal	ADJ
ap-1420	98	22	-	-	PUNCT
ap-1420	98	23	parabolic	parabolic	NOUN
ap-1420	98	24	segments	segment	NOUN
ap-1420	98	25	(	(	PUNCT
ap-1420	98	26	with	with	ADP
ap-1420	98	27	their	their	PRON
ap-1420	98	28	extreme	extreme	NOUN
ap-1420	98	29	at	at	ADP
ap-1420	98	30	b	b	NOUN
ap-1420	98	31	=	=	SYM
ap-1420	98	32	0	0	NUM
ap-1420	98	33	and	and	CCONJ
ap-1420	98	34	|amax|	|amax|	NUM
ap-1420	98	35	=	=	SYM
ap-1420	98	36	3	3	X
ap-1420	98	37	)	)	PUNCT
ap-1420	98	38	should	should	AUX
ap-1420	98	39	be	be	AUX
ap-1420	98	40	cut	cut	VERB
ap-1420	98	41	out	out	ADP
ap-1420	98	42	of	of	ADP
ap-1420	98	43	the	the	DET
ap-1420	98	44	elliptic	elliptic	ADJ
ap-1420	98	45	domain	domain	NOUN
ap-1420	98	46	with	with	ADP
ap-1420	98	47	p	p	PROPN
ap-1420	98	48	(	(	PUNCT
ap-1420	98	49	a	a	PRON
ap-1420	98	50	,	,	PUNCT
ap-1420	98	51	b	b	NOUN
ap-1420	98	52	,	,	PUNCT
ap-1420	98	53	0	0	NUM
ap-1420	98	54	)	)	PUNCT
ap-1420	98	55	>	>	X
ap-1420	98	56	0	0	PUNCT
ap-1420	98	57	as	as	ADP
ap-1420	98	58	inadmissible	inadmissible	ADJ
ap-1420	98	59	since	since	SCONJ
ap-1420	98	60	q(a	q(a	NOUN
ap-1420	98	61	,	,	PUNCT
ap-1420	98	62	b	b	NOUN
ap-1420	98	63	,	,	PUNCT
ap-1420	98	64	0	0	NUM
ap-1420	98	65	)	)	PUNCT
ap-1420	98	66	<	<	X
ap-1420	98	67	0	0	PUNCT
ap-1420	99	1	there	there	ADV
ap-1420	99	2	.	.	PUNCT
ap-1420	100	1	as	as	ADV
ap-1420	100	2	long	long	ADV
ap-1420	100	3	as	as	SCONJ
ap-1420	100	4	we	we	PRON
ap-1420	100	5	only	only	ADV
ap-1420	100	6	have	have	VERB
ap-1420	100	7	16	16	NUM
ap-1420	100	8	>	>	PUNCT
ap-1420	100	9	a2	a2	PROPN
ap-1420	100	10	,	,	PUNCT
ap-1420	100	11	the	the	DET
ap-1420	100	12	remaining	remain	VERB
ap-1420	100	13	constraint	constraint	NOUN
ap-1420	100	14	w	w	ADP
ap-1420	100	15	(	(	PUNCT
ap-1420	100	16	a	a	DET
ap-1420	100	17	,	,	PUNCT
ap-1420	100	18	b	b	NOUN
ap-1420	100	19	,	,	PUNCT
ap-1420	100	20	0	0	NUM
ap-1420	100	21	)	)	PUNCT
ap-1420	100	22	>	>	X
ap-1420	100	23	0	0	PUNCT
ap-1420	100	24	acquires	acquire	VERB
ap-1420	100	25	the	the	DET
ap-1420	100	26	form	form	NOUN
ap-1420	100	27	|b|	|b|	X
ap-1420	100	28	<	<	X
ap-1420	100	29	1	1	NUM
ap-1420	100	30	4	4	NUM
ap-1420	100	31	∣∣8	∣∣8	PROPN
ap-1420	100	32	−	−	PROPN
ap-1420	100	33	a2	a2	PROPN
ap-1420	100	34	∣∣	∣∣	NUM
ap-1420	100	35	√	√	PROPN
ap-1420	100	36	16	16	NUM
ap-1420	100	37	−	−	PROPN
ap-1420	100	38	a2	a2	PROPN
ap-1420	100	39	(	(	PUNCT
ap-1420	100	40	10	10	NUM
ap-1420	100	41	)	)	PUNCT
ap-1420	100	42	of	of	ADP
ap-1420	100	43	the	the	DET
ap-1420	100	44	geometric	geometric	ADJ
ap-1420	100	45	limitation	limitation	NOUN
ap-1420	100	46	of	of	ADP
ap-1420	100	47	the	the	DET
ap-1420	100	48	admissible	admissible	ADJ
ap-1420	100	49	range	range	NOUN
ap-1420	100	50	of	of	ADP
ap-1420	100	51	b	b	NOUN
ap-1420	100	52	by	by	ADP
ap-1420	100	53	the	the	DET
ap-1420	100	54	two	two	NUM
ap-1420	100	55	intersecting	intersecting	ADJ
ap-1420	100	56	or	or	CCONJ
ap-1420	100	57	rather	rather	ADV
ap-1420	100	58	broken	broken	ADJ
ap-1420	100	59	and	and	CCONJ
ap-1420	100	60	touching	touching	ADJ
ap-1420	100	61	curves	curve	NOUN
ap-1420	100	62	.	.	PUNCT
ap-1420	101	1	the	the	DET
ap-1420	101	2	nonnegative	nonnegative	ADJ
ap-1420	101	3	function	function	NOUN
ap-1420	101	4	w	w	PROPN
ap-1420	101	5	(	(	PUNCT
ap-1420	101	6	a	a	PRON
ap-1420	101	7	,	,	PUNCT
ap-1420	101	8	0	0	NUM
ap-1420	101	9	,	,	PUNCT
ap-1420	101	10	0	0	NUM
ap-1420	101	11	)	)	PUNCT
ap-1420	101	12	=	=	NOUN
ap-1420	101	13	(	(	PUNCT
ap-1420	101	14	8	8	NUM
ap-1420	101	15	−	−	NOUN
ap-1420	101	16	a2)2	a2)2	PUNCT
ap-1420	101	17	solely	solely	ADV
ap-1420	101	18	vanishes	vanish	VERB
ap-1420	101	19	at	at	ADP
ap-1420	101	20	a2	a2	PROPN
ap-1420	101	21	=	=	SYM
ap-1420	101	22	8	8	NUM
ap-1420	101	23	.	.	PUNCT
ap-1420	101	24	–	–	PUNCT
ap-1420	101	25	0.4	0.4	NUM
ap-1420	101	26	–	–	SYM
ap-1420	101	27	0.2	0.2	NUM
ap-1420	101	28	0	0	NUM
ap-1420	101	29	0.2	0.2	NUM
ap-1420	101	30	0.4	0.4	NUM
ap-1420	101	31	b	b	NUM
ap-1420	101	32	2.8	2.8	NUM
ap-1420	101	33	2.9	2.9	NUM
ap-1420	101	34	3	3	NUM
ap-1420	101	35	3.1	3.1	NUM
ap-1420	101	36	3.2	3.2	NUM
ap-1420	101	37	a	a	DET
ap-1420	101	38	fig	fig	NOUN
ap-1420	101	39	.	.	PUNCT
ap-1420	102	1	6	6	NUM
ap-1420	102	2	:	:	PUNCT
ap-1420	102	3	same	same	ADJ
ap-1420	102	4	as	as	ADP
ap-1420	102	5	figure	figure	NOUN
ap-1420	102	6	5	5	NUM
ap-1420	102	7	(	(	PUNCT
ap-1420	102	8	detail	detail	NOUN
ap-1420	102	9	)	)	PUNCT
ap-1420	102	10	–	–	PUNCT
ap-1420	102	11	0.4	0.4	NUM
ap-1420	102	12	–	–	PUNCT
ap-1420	102	13	0.2	0.2	NUM
ap-1420	102	14	0	0	NUM
ap-1420	102	15	0.2	0.2	NUM
ap-1420	102	16	0.4	0.4	NUM
ap-1420	102	17	b	b	NUM
ap-1420	102	18	2.8	2.8	NUM
ap-1420	102	19	2.9	2.9	NUM
ap-1420	102	20	3	3	NUM
ap-1420	102	21	3.1	3.1	NUM
ap-1420	102	22	3.2	3.2	NUM
ap-1420	102	23	a	a	DET
ap-1420	102	24	fig	fig	NOUN
ap-1420	102	25	.	.	PUNCT
ap-1420	103	1	7	7	NUM
ap-1420	103	2	:	:	PUNCT
ap-1420	103	3	the	the	DET
ap-1420	103	4	deformation	deformation	NOUN
ap-1420	103	5	of	of	ADP
ap-1420	103	6	figure	figure	NOUN
ap-1420	103	7	6	6	NUM
ap-1420	103	8	at	at	ADP
ap-1420	103	9	c	c	NOUN
ap-1420	103	10	=	=	SYM
ap-1420	103	11	0.95	0.95	NUM
ap-1420	103	12	the	the	DET
ap-1420	103	13	allowed	allow	VERB
ap-1420	103	14	region	region	NOUN
ap-1420	103	15	decays	decay	VERB
ap-1420	103	16	into	into	ADP
ap-1420	103	17	three	three	NUM
ap-1420	103	18	disconnected	disconnected	ADJ
ap-1420	103	19	open	open	ADJ
ap-1420	103	20	sets	set	NOUN
ap-1420	103	21	(	(	PUNCT
ap-1420	103	22	cf	cf	NOUN
ap-1420	103	23	.	.	PUNCT
ap-1420	103	24	figures	figure	NOUN
ap-1420	103	25	5–7	5–7	NUM
ap-1420	103	26	)	)	PUNCT
ap-1420	103	27	.	.	PUNCT
ap-1420	104	1	the	the	DET
ap-1420	104	2	big	big	ADJ
ap-1420	104	3	one	one	NOUN
ap-1420	104	4	is	be	AUX
ap-1420	104	5	formed	form	VERB
ap-1420	104	6	by	by	ADP
ap-1420	104	7	the	the	DET
ap-1420	104	8	eye	eye	NOUN
ap-1420	104	9	-	-	PUNCT
ap-1420	104	10	shaped	shape	VERB
ap-1420	104	11	vicinity	vicinity	NOUN
ap-1420	104	12	of	of	ADP
ap-1420	104	13	the	the	DET
ap-1420	104	14	origin	origin	NOUN
ap-1420	104	15	,	,	PUNCT
ap-1420	104	16	with	with	ADP
ap-1420	104	17	its	its	PRON
ap-1420	104	18	extremes	extreme	NOUN
ap-1420	104	19	at	at	ADP
ap-1420	104	20	the	the	DET
ap-1420	104	21	points	point	NOUN
ap-1420	104	22	(	(	PUNCT
ap-1420	104	23	a	a	PRON
ap-1420	104	24	,	,	PUNCT
ap-1420	104	25	b)±	b)±	PROPN
ap-1420	104	26	=	=	SYM
ap-1420	104	27	(	(	PUNCT
ap-1420	104	28	±	±	NOUN
ap-1420	104	29	√	√	ADV
ap-1420	104	30	8	8	NUM
ap-1420	104	31	,	,	PUNCT
ap-1420	104	32	0	0	NUM
ap-1420	104	33	)	)	PUNCT
ap-1420	104	34	.	.	PUNCT
ap-1420	105	1	the	the	DET
ap-1420	105	2	other	other	ADJ
ap-1420	105	3	two	two	NUM
ap-1420	105	4	smaller	small	ADJ
ap-1420	105	5	open	open	ADJ
ap-1420	105	6	sets	set	NOUN
ap-1420	105	7	are	be	AUX
ap-1420	105	8	fish	fish	NOUN
ap-1420	105	9	-	-	PUNCT
ap-1420	105	10	tail	tail	NOUN
ap-1420	105	11	-	-	PUNCT
ap-1420	105	12	shaped	shape	VERB
ap-1420	105	13	.	.	PUNCT
ap-1420	106	1	in	in	ADP
ap-1420	106	2	the	the	DET
ap-1420	106	3	pictures	picture	NOUN
ap-1420	106	4	these	these	DET
ap-1420	106	5	two	two	NUM
ap-1420	106	6	domains	domain	NOUN
ap-1420	106	7	are	be	AUX
ap-1420	106	8	easily	easily	ADV
ap-1420	106	9	spotted	spot	VERB
ap-1420	106	10	as	as	ADP
ap-1420	106	11	containing	contain	VERB
ap-1420	106	12	the	the	DET
ap-1420	106	13	respective	respective	ADJ
ap-1420	106	14	b	b	NOUN
ap-1420	106	15	=	=	SYM
ap-1420	106	16	0	0	NUM
ap-1420	106	17	intervals	interval	NOUN
ap-1420	106	18	of	of	ADP
ap-1420	106	19	|a|	|a|	NOUN
ap-1420	106	20	∈	∈	PROPN
ap-1420	106	21	(	(	PUNCT
ap-1420	106	22	√	√	NUM
ap-1420	106	23	8	8	NUM
ap-1420	106	24	,	,	PUNCT
ap-1420	106	25	3	3	NUM
ap-1420	106	26	)	)	PUNCT
ap-1420	106	27	.	.	PUNCT
ap-1420	107	1	in	in	ADP
ap-1420	107	2	this	this	DET
ap-1420	107	3	sense	sense	NOUN
ap-1420	107	4	they	they	PRON
ap-1420	107	5	may	may	AUX
ap-1420	107	6	be	be	AUX
ap-1420	107	7	expected	expect	VERB
ap-1420	107	8	to	to	PART
ap-1420	107	9	support	support	VERB
ap-1420	107	10	a	a	DET
ap-1420	107	11	perturbatively	perturbatively	ADV
ap-1420	107	12	inaccessible	inaccessible	ADJ
ap-1420	107	13	“	"	PUNCT
ap-1420	107	14	strong	strong	ADJ
ap-1420	107	15	-	-	PUNCT
ap-1420	107	16	coupling	coupling	NOUN
ap-1420	107	17	”	"	PUNCT
ap-1420	107	18	dynamical	dynamical	ADJ
ap-1420	107	19	regime	regime	NOUN
ap-1420	107	20	.	.	PUNCT
ap-1420	108	1	an	an	DET
ap-1420	108	2	additional	additional	ADJ
ap-1420	108	3	indication	indication	NOUN
ap-1420	108	4	of	of	ADP
ap-1420	108	5	the	the	DET
ap-1420	108	6	suspected	suspect	VERB
ap-1420	108	7	emergence	emergence	NOUN
ap-1420	108	8	of	of	ADP
ap-1420	108	9	topological	topological	ADJ
ap-1420	108	10	as	as	ADV
ap-1420	108	11	well	well	ADV
ap-1420	108	12	as	as	ADP
ap-1420	108	13	dynamical	dynamical	ADJ
ap-1420	108	14	nontrivialities	nontrivialitie	NOUN
ap-1420	108	15	is	be	AUX
ap-1420	108	16	offered	offer	VERB
ap-1420	108	17	by	by	ADP
ap-1420	108	18	figure	figure	NOUN
ap-1420	108	19	7	7	NUM
ap-1420	108	20	,	,	PUNCT
ap-1420	108	21	where	where	SCONJ
ap-1420	108	22	the	the	DET
ap-1420	108	23	same	same	ADJ
ap-1420	108	24	separation	separation	NOUN
ap-1420	108	25	of	of	ADP
ap-1420	108	26	a	a	DET
ap-1420	108	27	strong	strong	ADJ
ap-1420	108	28	-	-	PUNCT
ap-1420	108	29	coupling	couple	VERB
ap-1420	108	30	piece	piece	NOUN
ap-1420	108	31	of	of	ADP
ap-1420	108	32	the	the	DET
ap-1420	108	33	domain	domain	NOUN
ap-1420	108	34	d(h	d(h	PROPN
ap-1420	108	35	)	)	PUNCT
ap-1420	108	36	is	be	AUX
ap-1420	108	37	shown	show	VERB
ap-1420	108	38	to	to	PART
ap-1420	108	39	survive	survive	VERB
ap-1420	108	40	up	up	ADP
ap-1420	108	41	to	to	ADP
ap-1420	108	42	the	the	DET
ap-1420	108	43	very	very	ADV
ap-1420	108	44	extreme	extreme	NOUN
ap-1420	108	45	of	of	ADP
ap-1420	108	46	c	c	PROPN
ap-1420	108	47	≈	≈	PROPN
ap-1420	108	48	1	1	NUM
ap-1420	108	49	.	.	ADP
ap-1420	108	50	4	4	NUM
ap-1420	108	51	the	the	DET
ap-1420	108	52	domain	domain	NOUN
ap-1420	108	53	of	of	ADP
ap-1420	108	54	cryptohermiticity	cryptohermiticity	NOUN
ap-1420	108	55	in	in	ADP
ap-1420	108	56	the	the	DET
ap-1420	108	57	full	full	ADV
ap-1420	108	58	-	-	PUNCT
ap-1420	108	59	fledged	fledge	VERB
ap-1420	108	60	three	three	NUM
ap-1420	108	61	-	-	PUNCT
ap-1420	108	62	parametric	parametric	ADJ
ap-1420	108	63	dynamical	dynamical	ADJ
ap-1420	108	64	scenario	scenario	NOUN
ap-1420	108	65	4.1	4.1	NUM
ap-1420	108	66	the	the	DET
ap-1420	108	67	auxiliary	auxiliary	ADJ
ap-1420	108	68	domains	domain	NOUN
ap-1420	108	69	and	and	CCONJ
ap-1420	108	70	their	their	PRON
ap-1420	108	71	boundaries	boundary	NOUN
ap-1420	108	72	the	the	DET
ap-1420	108	73	domain	domain	NOUN
ap-1420	108	74	d(h	d(h	PROPN
ap-1420	108	75	)	)	PUNCT
ap-1420	108	76	of	of	ADP
ap-1420	108	77	parameters	parameter	NOUN
ap-1420	108	78	for	for	ADP
ap-1420	108	79	which	which	PRON
ap-1420	108	80	hamiltonian	hamiltonian	ADJ
ap-1420	108	81	h(4)(a	h(4)(a	NOUN
ap-1420	108	82	,	,	PUNCT
ap-1420	108	83	b	b	NOUN
ap-1420	108	84	,	,	PUNCT
ap-1420	108	85	c	c	NOUN
ap-1420	108	86	)	)	PUNCT
ap-1420	108	87	generates	generate	VERB
ap-1420	108	88	the	the	DET
ap-1420	108	89	unitary	unitary	ADJ
ap-1420	108	90	evolution	evolution	NOUN
ap-1420	108	91	is	be	AUX
ap-1420	108	92	defined	define	VERB
ap-1420	108	93	as	as	ADP
ap-1420	108	94	an	an	DET
ap-1420	108	95	intersection	intersection	NOUN
ap-1420	108	96	of	of	ADP
ap-1420	108	97	the	the	DET
ap-1420	108	98	triplet	triplet	NOUN
ap-1420	108	99	of	of	ADP
ap-1420	108	100	domains	domain	NOUN
ap-1420	108	101	d(p	d(p	PROPN
ap-1420	108	102	,	,	PUNCT
ap-1420	108	103	q	q	NOUN
ap-1420	108	104	,	,	PUNCT
ap-1420	108	105	w	w	NOUN
ap-1420	108	106	)	)	PUNCT
ap-1420	108	107	in	in	ADP
ap-1420	108	108	r3	r3	PROPN
ap-1420	108	109	.	.	PUNCT
ap-1420	109	1	let	let	VERB
ap-1420	109	2	us	we	PRON
ap-1420	109	3	now	now	ADV
ap-1420	109	4	leave	leave	VERB
ap-1420	109	5	all	all	PRON
ap-1420	109	6	of	of	ADP
ap-1420	109	7	the	the	DET
ap-1420	109	8	three	three	NUM
ap-1420	109	9	parameters	parameter	NOUN
ap-1420	109	10	a	a	PRON
ap-1420	109	11	,	,	PUNCT
ap-1420	109	12	b	b	NOUN
ap-1420	109	13	and	and	CCONJ
ap-1420	109	14	c	c	NOUN
ap-1420	109	15	freely	freely	ADV
ap-1420	109	16	variable	variable	ADJ
ap-1420	109	17	and	and	CCONJ
ap-1420	109	18	recall	recall	VERB
ap-1420	109	19	that	that	PRON
ap-1420	109	20	•	•	SCONJ
ap-1420	109	21	the	the	DET
ap-1420	109	22	domain	domain	NOUN
ap-1420	109	23	d(p	d(p	PROPN
ap-1420	109	24	)	)	PUNCT
ap-1420	109	25	is	be	AUX
ap-1420	109	26	defined	define	VERB
ap-1420	109	27	by	by	ADP
ap-1420	109	28	the	the	DET
ap-1420	109	29	inequality	inequality	NOUN
ap-1420	109	30	p	p	NOUN
ap-1420	109	31	(	(	PUNCT
ap-1420	109	32	a	a	PRON
ap-1420	109	33	,	,	PUNCT
ap-1420	109	34	b	b	NOUN
ap-1420	109	35	,	,	PUNCT
ap-1420	109	36	c	c	NOUN
ap-1420	109	37	)	)	PUNCT
ap-1420	110	1	=	=	SYM
ap-1420	111	1	10	10	NUM
ap-1420	111	2	−	−	PROPN
ap-1420	111	3	a2	a2	PROPN
ap-1420	111	4	−	−	PROPN
ap-1420	111	5	2	2	NUM
ap-1420	111	6	b2	b2	NOUN
ap-1420	111	7	−	−	PROPN
ap-1420	111	8	c2	c2	PROPN
ap-1420	111	9	>	>	X
ap-1420	111	10	0	0	PUNCT
ap-1420	111	11	.	.	PUNCT
ap-1420	112	1	it	it	PRON
ap-1420	112	2	is	be	AUX
ap-1420	112	3	compact	compact	ADJ
ap-1420	112	4	,	,	PUNCT
ap-1420	112	5	so	so	SCONJ
ap-1420	112	6	that	that	SCONJ
ap-1420	112	7	we	we	PRON
ap-1420	112	8	may	may	AUX
ap-1420	112	9	restrict	restrict	VERB
ap-1420	112	10	our	our	PRON
ap-1420	112	11	attention	attention	NOUN
ap-1420	112	12	just	just	ADV
ap-1420	112	13	to	to	ADP
ap-1420	112	14	the	the	DET
ap-1420	112	15	intervals	interval	NOUN
ap-1420	112	16	of	of	ADP
ap-1420	112	17	b2	b2	NOUN
ap-1420	112	18	<	<	X
ap-1420	112	19	5	5	NUM
ap-1420	112	20	,	,	PUNCT
ap-1420	112	21	a2	a2	PROPN
ap-1420	112	22	<	<	X
ap-1420	112	23	10	10	NUM
ap-1420	112	24	and	and	CCONJ
ap-1420	112	25	c2	c2	PROPN
ap-1420	112	26	<	<	X
ap-1420	112	27	10	10	NUM
ap-1420	112	28	.	.	PUNCT
ap-1420	113	1	at	at	ADP
ap-1420	113	2	any	any	DET
ap-1420	113	3	fixed	fix	VERB
ap-1420	113	4	b2	b2	NOUN
ap-1420	113	5	<	<	X
ap-1420	113	6	5	5	NUM
ap-1420	113	7	the	the	DET
ap-1420	113	8	section	section	NOUN
ap-1420	113	9	of	of	ADP
ap-1420	113	10	this	this	DET
ap-1420	113	11	first	first	ADJ
ap-1420	113	12	auxiliary	auxiliary	ADJ
ap-1420	113	13	domain	domain	NOUN
ap-1420	113	14	coincides	coincide	VERB
ap-1420	113	15	with	with	ADP
ap-1420	113	16	the	the	DET
ap-1420	113	17	interior	interior	NOUN
ap-1420	113	18	of	of	ADP
ap-1420	113	19	a	a	DET
ap-1420	113	20	central	central	ADJ
ap-1420	113	21	circle	circle	NOUN
ap-1420	113	22	in	in	ADP
ap-1420	113	23	the	the	DET
ap-1420	113	24	a	a	DET
ap-1420	113	25	−	−	PROPN
ap-1420	113	26	c	c	NOUN
ap-1420	113	27	plane	plane	NOUN
ap-1420	113	28	with	with	ADP
ap-1420	113	29	radius	radius	NOUN
ap-1420	113	30	r	r	NOUN
ap-1420	113	31	=	=	PUNCT
ap-1420	113	32	√	√	PROPN
ap-1420	113	33	10	10	NUM
ap-1420	113	34	−	−	PROPN
ap-1420	113	35	2b2	2b2	NUM
ap-1420	113	36	;	;	PUNCT
ap-1420	113	37	•	•	NUM
ap-1420	113	38	the	the	DET
ap-1420	113	39	allowed	allow	VERB
ap-1420	113	40	interior	interior	NOUN
ap-1420	113	41	of	of	ADP
ap-1420	113	42	the	the	DET
ap-1420	113	43	triply	triply	ADV
ap-1420	113	44	connected	connected	ADJ
ap-1420	113	45	domain	domain	NOUN
ap-1420	113	46	d(q	d(q	PROPN
ap-1420	113	47	)	)	PUNCT
ap-1420	113	48	is	be	AUX
ap-1420	113	49	defined	define	VERB
ap-1420	113	50	by	by	ADP
ap-1420	113	51	the	the	DET
ap-1420	113	52	inequality	inequality	NOUN
ap-1420	113	53	q(a	q(a	NOUN
ap-1420	113	54	,	,	PUNCT
ap-1420	113	55	b	b	NOUN
ap-1420	113	56	,	,	PUNCT
ap-1420	113	57	c	c	NOUN
ap-1420	113	58	)	)	PUNCT
ap-1420	113	59	=	=	NOUN
ap-1420	114	1	[	[	PUNCT
ap-1420	114	2	(	(	PUNCT
ap-1420	114	3	a	a	DET
ap-1420	114	4	+	+	NUM
ap-1420	114	5	3)(c	3)(c	NUM
ap-1420	114	6	−	−	NOUN
ap-1420	114	7	1	1	NUM
ap-1420	114	8	)	)	PUNCT
ap-1420	114	9	−	−	PROPN
ap-1420	114	10	b2	b2	NOUN
ap-1420	114	11	]	]	PUNCT
ap-1420	114	12	·	·	PUNCT
ap-1420	114	13	[	[	PUNCT
ap-1420	114	14	(	(	PUNCT
ap-1420	114	15	a	a	DET
ap-1420	114	16	−	−	PROPN
ap-1420	114	17	3)(c	3)(c	NUM
ap-1420	114	18	+	+	NOUN
ap-1420	114	19	1	1	NUM
ap-1420	114	20	)	)	PUNCT
ap-1420	114	21	−	−	PROPN
ap-1420	114	22	b2	b2	NOUN
ap-1420	114	23	]	]	PUNCT
ap-1420	114	24	.	.	PUNCT
ap-1420	115	1	in	in	ADP
ap-1420	115	2	the	the	DET
ap-1420	115	3	a	a	DET
ap-1420	115	4	−	−	PROPN
ap-1420	115	5	c	c	NOUN
ap-1420	115	6	plane	plane	NOUN
ap-1420	115	7	the	the	DET
ap-1420	115	8	boundaries	boundary	NOUN
ap-1420	115	9	of	of	ADP
ap-1420	115	10	this	this	DET
ap-1420	115	11	domain	domain	NOUN
ap-1420	115	12	are	be	AUX
ap-1420	115	13	two	two	NUM
ap-1420	115	14	hyperbolas	hyperbola	NOUN
ap-1420	115	15	sampled	sample	VERB
ap-1420	115	16	at	at	ADP
ap-1420	115	17	b2	b2	NOUN
ap-1420	115	18	=	=	SYM
ap-1420	115	19	1	1	NUM
ap-1420	115	20	in	in	ADP
ap-1420	115	21	figure	figure	NOUN
ap-1420	115	22	8	8	NUM
ap-1420	115	23	.	.	PUNCT
ap-1420	116	1	–	–	PUNCT
ap-1420	116	2	5	5	NUM
ap-1420	116	3	0	0	NUM
ap-1420	116	4	5	5	NUM
ap-1420	116	5	–	–	SYM
ap-1420	116	6	5	5	NUM
ap-1420	116	7	0	0	NUM
ap-1420	116	8	5	5	NUM
ap-1420	116	9	allowed	allow	VERB
ap-1420	116	10	allowed	allow	VERB
ap-1420	116	11	allowed	allow	VERB
ap-1420	116	12	allowed	allow	VERB
ap-1420	116	13	allowed	allow	VERB
ap-1420	117	1	forbidden	forbid	VERB
ap-1420	117	2	forbidden	forbid	VERB
ap-1420	117	3	forbidden	forbid	VERB
ap-1420	117	4	forbidden	forbid	VERB
ap-1420	117	5	a	a	DET
ap-1420	117	6	c	c	NOUN
ap-1420	117	7	fig	fig	NOUN
ap-1420	117	8	.	.	PUNCT
ap-1420	118	1	8	8	NUM
ap-1420	118	2	:	:	PUNCT
ap-1420	119	1	boundaries	boundary	NOUN
ap-1420	119	2	q(a	q(a	PROPN
ap-1420	119	3	,	,	PUNCT
ap-1420	119	4	b	b	NOUN
ap-1420	119	5	,	,	PUNCT
ap-1420	119	6	c	c	NOUN
ap-1420	119	7	)	)	PUNCT
ap-1420	119	8	=	=	SYM
ap-1420	119	9	0	0	NUM
ap-1420	119	10	and	and	CCONJ
ap-1420	119	11	forbidden	forbid	VERB
ap-1420	119	12	parts	part	NOUN
ap-1420	119	13	of	of	ADP
ap-1420	119	14	the	the	DET
ap-1420	119	15	a	a	DET
ap-1420	119	16	−	−	PROPN
ap-1420	119	17	c	c	NOUN
ap-1420	119	18	plane	plane	NOUN
ap-1420	119	19	as	as	ADP
ap-1420	119	20	sampled	sample	VERB
ap-1420	119	21	at	at	ADP
ap-1420	119	22	b2	b2	NOUN
ap-1420	119	23	=	=	NOUN
ap-1420	119	24	1	1	NUM
ap-1420	119	25	the	the	DET
ap-1420	119	26	third	third	ADJ
ap-1420	119	27	auxiliary	auxiliary	ADJ
ap-1420	119	28	domain	domain	NOUN
ap-1420	119	29	d(w	d(w	PROPN
ap-1420	119	30	)	)	PUNCT
ap-1420	119	31	is	be	AUX
ap-1420	119	32	defined	define	VERB
ap-1420	119	33	by	by	ADP
ap-1420	119	34	the	the	DET
ap-1420	119	35	inequality	inequality	NOUN
ap-1420	119	36	w	w	PROPN
ap-1420	119	37	(	(	PUNCT
ap-1420	119	38	a	a	PRON
ap-1420	119	39	,	,	PUNCT
ap-1420	119	40	b	b	NOUN
ap-1420	119	41	,	,	PUNCT
ap-1420	119	42	c	c	NOUN
ap-1420	119	43	)	)	PUNCT
ap-1420	119	44	=	=	NOUN
ap-1420	119	45	(	(	PUNCT
ap-1420	119	46	8	8	NUM
ap-1420	119	47	+	+	NUM
ap-1420	119	48	c2	c2	PROPN
ap-1420	119	49	−	−	PROPN
ap-1420	119	50	a2	a2	PROPN
ap-1420	119	51	)	)	PUNCT
ap-1420	120	1	2	2	NUM
ap-1420	120	2	−	−	NOUN
ap-1420	120	3	4	4	NUM
ap-1420	120	4	[	[	PUNCT
ap-1420	120	5	16	16	NUM
ap-1420	120	6	−	−	NOUN
ap-1420	120	7	(	(	PUNCT
ap-1420	120	8	a	a	DET
ap-1420	120	9	+	+	NUM
ap-1420	120	10	c)2	c)2	NOUN
ap-1420	120	11	]	]	PUNCT
ap-1420	120	12	b2	b2	NOUN
ap-1420	120	13	>	>	X
ap-1420	120	14	0	0	PUNCT
ap-1420	120	15	.	.	PUNCT
ap-1420	121	1	the	the	DET
ap-1420	121	2	description	description	NOUN
ap-1420	121	3	of	of	ADP
ap-1420	121	4	this	this	DET
ap-1420	121	5	domain	domain	NOUN
ap-1420	121	6	is	be	AUX
ap-1420	121	7	slightly	slightly	ADV
ap-1420	121	8	less	less	ADV
ap-1420	121	9	trivial	trivial	ADJ
ap-1420	121	10	.	.	PUNCT
ap-1420	122	1	the	the	DET
ap-1420	122	2	interior	interior	NOUN
ap-1420	122	3	of	of	ADP
ap-1420	122	4	this	this	DET
ap-1420	122	5	domain	domain	NOUN
ap-1420	122	6	covers	cover	VERB
ap-1420	122	7	all	all	DET
ap-1420	122	8	the	the	DET
ap-1420	122	9	exterior	exterior	NOUN
ap-1420	122	10	of	of	ADP
ap-1420	122	11	107	107	NUM
ap-1420	122	12	acta	acta	PROPN
ap-1420	122	13	polytechnica	polytechnica	PROPN
ap-1420	122	14	vol	vol	NOUN
ap-1420	122	15	.	.	PUNCT
ap-1420	123	1	51	51	NUM
ap-1420	123	2	no	no	INTJ
ap-1420	123	3	.	.	PUNCT
ap-1420	124	1	4/2011	4/2011	NUM
ap-1420	125	1	the	the	DET
ap-1420	125	2	strip	strip	NOUN
ap-1420	125	3	where	where	SCONJ
ap-1420	125	4	|a	|a	PRON
ap-1420	125	5	+	+	CCONJ
ap-1420	125	6	c|	c|	X
ap-1420	125	7	>	>	X
ap-1420	125	8	4	4	X
ap-1420	125	9	.	.	PUNCT
ap-1420	126	1	then	then	ADV
ap-1420	126	2	the	the	DET
ap-1420	126	3	interior	interior	NOUN
ap-1420	126	4	of	of	ADP
ap-1420	126	5	this	this	DET
ap-1420	126	6	strip	strip	NOUN
ap-1420	126	7	may	may	AUX
ap-1420	126	8	be	be	AUX
ap-1420	126	9	reparametrized	reparametrize	VERB
ap-1420	126	10	,	,	PUNCT
ap-1420	126	11	c	c	NOUN
ap-1420	126	12	−	−	PROPN
ap-1420	126	13	a	a	DET
ap-1420	126	14	=	=	SYM
ap-1420	126	15	2	2	NUM
ap-1420	126	16	τ(c	τ(c	PROPN
ap-1420	126	17	,	,	PUNCT
ap-1420	126	18	a	a	PRON
ap-1420	126	19	)	)	PUNCT
ap-1420	126	20	∈	∈	PROPN
ap-1420	126	21	(	(	PUNCT
ap-1420	126	22	−∞,∞	−∞,∞	NOUN
ap-1420	126	23	)	)	PUNCT
ap-1420	126	24	,	,	PUNCT
ap-1420	127	1	c	c	X
ap-1420	127	2	+	+	CCONJ
ap-1420	127	3	a	a	DET
ap-1420	127	4	=	=	SYM
ap-1420	127	5	4	4	NUM
ap-1420	127	6	sin	sin	NOUN
ap-1420	127	7	ϕ(c	ϕ(c	PROPN
ap-1420	127	8	,	,	PUNCT
ap-1420	127	9	a	a	PRON
ap-1420	127	10	)	)	PUNCT
ap-1420	127	11	,	,	PUNCT
ap-1420	127	12	ϕ(c	ϕ(c	PROPN
ap-1420	127	13	,	,	PUNCT
ap-1420	127	14	a	a	PRON
ap-1420	127	15	)	)	PUNCT
ap-1420	127	16	∈	∈	PROPN
ap-1420	127	17	(	(	PUNCT
ap-1420	127	18	−π/2	−π/2	PROPN
ap-1420	127	19	,	,	PUNCT
ap-1420	127	20	π/2	π/2	NUM
ap-1420	127	21	)	)	PUNCT
ap-1420	127	22	making	make	VERB
ap-1420	127	23	the	the	DET
ap-1420	127	24	rest	rest	NOUN
ap-1420	127	25	of	of	ADP
ap-1420	127	26	the	the	DET
ap-1420	127	27	domain	domain	NOUN
ap-1420	127	28	d(w	d(w	PROPN
ap-1420	127	29	)	)	PUNCT
ap-1420	127	30	determined	determine	VERB
ap-1420	127	31	by	by	ADP
ap-1420	127	32	the	the	DET
ap-1420	127	33	elementary	elementary	ADJ
ap-1420	127	34	inequality	inequality	NOUN
ap-1420	127	35	|b|	|b|	VERB
ap-1420	127	36	<	<	X
ap-1420	127	37	|1	|1	X
ap-1420	127	38	+	+	CCONJ
ap-1420	127	39	τ(c	τ(c	PROPN
ap-1420	127	40	,	,	PUNCT
ap-1420	127	41	a	a	PRON
ap-1420	127	42	)	)	PUNCT
ap-1420	127	43	sin[ϕ(c	sin[ϕ(c	NOUN
ap-1420	127	44	,	,	PUNCT
ap-1420	127	45	a)]|	a)]|	ADJ
ap-1420	127	46	cos[ϕ(c	cos[ϕ(c	X
ap-1420	127	47	,	,	PUNCT
ap-1420	127	48	a	a	PRON
ap-1420	127	49	)	)	PUNCT
ap-1420	127	50	]	]	PUNCT
ap-1420	127	51	.	.	PUNCT
ap-1420	128	1	(	(	PUNCT
ap-1420	128	2	11	11	NUM
ap-1420	128	3	)	)	PUNCT
ap-1420	128	4	this	this	PRON
ap-1420	128	5	means	mean	VERB
ap-1420	128	6	that	that	SCONJ
ap-1420	128	7	within	within	ADP
ap-1420	128	8	the	the	DET
ap-1420	128	9	restricted	restricted	ADJ
ap-1420	128	10	range	range	NOUN
ap-1420	128	11	of	of	ADP
ap-1420	128	12	τ(c	τ(c	PROPN
ap-1420	128	13	,	,	PUNCT
ap-1420	128	14	a	a	PRON
ap-1420	128	15	)	)	PUNCT
ap-1420	128	16	∈	∈	PROPN
ap-1420	128	17	(	(	PUNCT
ap-1420	128	18	−	−	PROPN
ap-1420	128	19	√	√	NUM
ap-1420	128	20	10	10	NUM
ap-1420	128	21	,	,	PUNCT
ap-1420	128	22	√	√	PROPN
ap-1420	128	23	10	10	NUM
ap-1420	128	24	)	)	PUNCT
ap-1420	128	25	the	the	DET
ap-1420	128	26	growth	growth	NOUN
ap-1420	128	27	of	of	ADP
ap-1420	128	28	|b|	|b|	PROPN
ap-1420	128	29	→	→	PUNCT
ap-1420	128	30	∞	∞	PROPN
ap-1420	128	31	must	must	AUX
ap-1420	128	32	be	be	AUX
ap-1420	128	33	compensated	compensate	VERB
ap-1420	128	34	by	by	ADP
ap-1420	128	35	the	the	DET
ap-1420	128	36	decrease	decrease	NOUN
ap-1420	128	37	of	of	ADP
ap-1420	128	38	cos[ϕ(c	cos[ϕ(c	NOUN
ap-1420	128	39	,	,	PUNCT
ap-1420	128	40	a	a	PRON
ap-1420	128	41	)	)	PUNCT
ap-1420	128	42	]	]	PUNCT
ap-1420	129	1	→	→	SYM
ap-1420	129	2	0	0	NUM
ap-1420	129	3	,	,	PUNCT
ap-1420	129	4	i.e.	i.e.	X
ap-1420	129	5	,	,	PUNCT
ap-1420	129	6	by	by	ADP
ap-1420	129	7	the	the	DET
ap-1420	129	8	convergence	convergence	NOUN
ap-1420	129	9	c	c	PROPN
ap-1420	129	10	→	→	PUNCT
ap-1420	129	11	±1	±1	VERB
ap-1420	129	12	−	−	NOUN
ap-1420	129	13	a.	a.	NOUN
ap-1420	129	14	this	this	PRON
ap-1420	129	15	makes	make	VERB
ap-1420	129	16	the	the	DET
ap-1420	129	17	strip	strip	NOUN
ap-1420	129	18	-	-	PUNCT
ap-1420	129	19	restricted	restrict	VERB
ap-1420	129	20	part	part	NOUN
ap-1420	129	21	of	of	ADP
ap-1420	129	22	the	the	DET
ap-1420	129	23	domain	domain	NOUN
ap-1420	129	24	d(w	d(w	PROPN
ap-1420	129	25	)	)	PUNCT
ap-1420	129	26	very	very	ADV
ap-1420	129	27	small	small	ADJ
ap-1420	129	28	but	but	CCONJ
ap-1420	129	29	increasing	increase	VERB
ap-1420	129	30	with	with	ADP
ap-1420	129	31	the	the	DET
ap-1420	129	32	decrease	decrease	NOUN
ap-1420	129	33	of	of	ADP
ap-1420	129	34	|b|	|b|	PROPN
ap-1420	129	35	from	from	ADP
ap-1420	129	36	a	a	DET
ap-1420	129	37	sufficiently	sufficiently	ADV
ap-1420	129	38	large	large	ADJ
ap-1420	129	39	initial	initial	ADJ
ap-1420	129	40	value	value	NOUN
ap-1420	129	41	.	.	PUNCT
ap-1420	130	1	4.2	4.2	NUM
ap-1420	130	2	the	the	DET
ap-1420	130	3	boundaries	boundary	NOUN
ap-1420	130	4	of	of	ADP
ap-1420	130	5	the	the	DET
ap-1420	130	6	cryptohermiticity	cryptohermiticity	NOUN
ap-1420	130	7	domain	domain	NOUN
ap-1420	130	8	the	the	DET
ap-1420	130	9	study	study	NOUN
ap-1420	130	10	of	of	ADP
ap-1420	130	11	the	the	DET
ap-1420	130	12	overlaps	overlap	NOUN
ap-1420	130	13	of	of	ADP
ap-1420	130	14	the	the	DET
ap-1420	130	15	three	three	NUM
ap-1420	130	16	auxiliary	auxiliary	ADJ
ap-1420	130	17	domains	domain	NOUN
ap-1420	130	18	d(p	d(p	PROPN
ap-1420	130	19	,	,	PUNCT
ap-1420	130	20	q	q	NOUN
ap-1420	130	21	,	,	PUNCT
ap-1420	130	22	w	w	PROPN
ap-1420	130	23	)	)	PUNCT
ap-1420	130	24	may	may	AUX
ap-1420	130	25	be	be	AUX
ap-1420	130	26	started	start	VERB
ap-1420	130	27	at	at	ADP
ap-1420	130	28	the	the	DET
ap-1420	130	29	maximal	maximal	ADJ
ap-1420	130	30	admissible	admissible	ADJ
ap-1420	130	31	plane	plane	NOUN
ap-1420	130	32	of	of	ADP
ap-1420	130	33	b	b	NOUN
ap-1420	130	34	=	=	PUNCT
ap-1420	130	35	b(p	b(p	PROPN
ap-1420	130	36	)	)	PUNCT
ap-1420	131	1	=	=	SYM
ap-1420	132	1	√	√	NUM
ap-1420	132	2	5	5	NUM
ap-1420	132	3	,	,	PUNCT
ap-1420	132	4	which	which	PRON
ap-1420	132	5	touches	touch	VERB
ap-1420	132	6	the	the	DET
ap-1420	132	7	boundary	boundary	ADJ
ap-1420	132	8	∂d(p	∂d(p	PROPN
ap-1420	132	9	)	)	PUNCT
ap-1420	132	10	at	at	ADP
ap-1420	132	11	a	a	DET
ap-1420	132	12	=	=	SYM
ap-1420	132	13	c	c	NOUN
ap-1420	132	14	=	=	SYM
ap-1420	132	15	0	0	PROPN
ap-1420	132	16	.	.	PUNCT
ap-1420	133	1	this	this	DET
ap-1420	133	2	point	point	NOUN
ap-1420	133	3	still	still	ADV
ap-1420	133	4	lies	lie	VERB
ap-1420	133	5	outside	outside	ADP
ap-1420	133	6	the	the	DET
ap-1420	133	7	domains	domain	NOUN
ap-1420	133	8	d(w	d(w	PROPN
ap-1420	133	9	)	)	PUNCT
ap-1420	133	10	and	and	CCONJ
ap-1420	133	11	d(h	d(h	PROPN
ap-1420	133	12	)	)	PUNCT
ap-1420	133	13	since	since	SCONJ
ap-1420	133	14	w	w	PROPN
ap-1420	133	15	(	(	PUNCT
ap-1420	133	16	0	0	NUM
ap-1420	133	17	,	,	PUNCT
ap-1420	133	18	√	√	NOUN
ap-1420	133	19	5	5	NUM
ap-1420	133	20	,	,	PUNCT
ap-1420	133	21	0	0	NUM
ap-1420	133	22	)	)	PUNCT
ap-1420	133	23	=	=	SYM
ap-1420	134	1	64	64	NUM
ap-1420	134	2	−	−	NOUN
ap-1420	134	3	320	320	NUM
ap-1420	134	4	<	<	X
ap-1420	134	5	0	0	NUM
ap-1420	134	6	.	.	PUNCT
ap-1420	135	1	in	in	ADP
ap-1420	135	2	a	a	DET
ap-1420	135	3	search	search	NOUN
ap-1420	135	4	for	for	ADP
ap-1420	135	5	the	the	DET
ap-1420	135	6	first	first	ADJ
ap-1420	135	7	touch	touch	NOUN
ap-1420	135	8	between	between	ADP
ap-1420	135	9	the	the	DET
ap-1420	135	10	b−plane	b−plane	PROPN
ap-1420	135	11	and	and	CCONJ
ap-1420	135	12	boundary	boundary	PROPN
ap-1420	135	13	∂d(h	∂d(h	PROPN
ap-1420	135	14	)	)	PUNCT
ap-1420	135	15	we	we	PRON
ap-1420	135	16	must	must	AUX
ap-1420	135	17	diminish	diminish	VERB
ap-1420	135	18	our	our	PRON
ap-1420	135	19	b	b	NOUN
ap-1420	135	20	and	and	CCONJ
ap-1420	135	21	move	move	VERB
ap-1420	135	22	into	into	ADP
ap-1420	135	23	the	the	DET
ap-1420	135	24	interior	interior	NOUN
ap-1420	135	25	of	of	ADP
ap-1420	135	26	d(p	d(p	PROPN
ap-1420	135	27	)	)	PUNCT
ap-1420	135	28	.	.	PUNCT
ap-1420	136	1	in	in	ADP
ap-1420	136	2	the	the	DET
ap-1420	136	3	first	first	ADJ
ap-1420	136	4	illustrative	illustrative	ADJ
ap-1420	136	5	example	example	NOUN
ap-1420	136	6	at	at	ADP
ap-1420	136	7	b	b	PROPN
ap-1420	136	8	=	=	PUNCT
ap-1420	136	9	√	√	PROPN
ap-1420	136	10	5−1/100	5−1/100	NUM
ap-1420	136	11	,	,	PUNCT
ap-1420	136	12	our	our	PRON
ap-1420	136	13	fig	fig	NOUN
ap-1420	136	14	.	.	PUNCT
ap-1420	137	1	9	9	NUM
ap-1420	137	2	displays	display	VERB
ap-1420	137	3	the	the	DET
ap-1420	137	4	motion	motion	NOUN
ap-1420	137	5	of	of	ADP
ap-1420	137	6	the	the	DET
ap-1420	137	7	triplet	triplet	NOUN
ap-1420	137	8	of	of	ADP
ap-1420	137	9	boundaries	boundary	NOUN
ap-1420	137	10	∂d(p	∂d(p	PROPN
ap-1420	137	11	,	,	PUNCT
ap-1420	137	12	q	q	NOUN
ap-1420	137	13	,	,	PUNCT
ap-1420	137	14	w	w	NOUN
ap-1420	137	15	)	)	PUNCT
ap-1420	137	16	projected	project	VERB
ap-1420	137	17	into	into	ADP
ap-1420	137	18	the	the	DET
ap-1420	137	19	a	a	DET
ap-1420	137	20	−	−	PROPN
ap-1420	137	21	c	c	NOUN
ap-1420	137	22	real	real	ADJ
ap-1420	137	23	plane	plane	NOUN
ap-1420	137	24	.	.	PUNCT
ap-1420	138	1	this	this	DET
ap-1420	138	2	picture	picture	NOUN
ap-1420	138	3	shows	show	VERB
ap-1420	138	4	that	that	SCONJ
ap-1420	138	5	the	the	DET
ap-1420	138	6	corresponding	corresponding	ADJ
ap-1420	138	7	section	section	NOUN
ap-1420	138	8	of	of	ADP
ap-1420	138	9	the	the	DET
ap-1420	138	10	first	first	ADJ
ap-1420	138	11	domain	domain	NOUN
ap-1420	138	12	d(p	d(p	PROPN
ap-1420	138	13	)	)	PUNCT
ap-1420	138	14	becomes	become	VERB
ap-1420	138	15	nonempty	nonempty	ADJ
ap-1420	138	16	.	.	PUNCT
ap-1420	139	1	still	still	ADV
ap-1420	139	2	,	,	PUNCT
ap-1420	139	3	it	it	PRON
ap-1420	139	4	just	just	ADV
ap-1420	139	5	occupies	occupy	VERB
ap-1420	139	6	the	the	DET
ap-1420	139	7	interior	interior	NOUN
ap-1420	139	8	of	of	ADP
ap-1420	139	9	a	a	DET
ap-1420	139	10	very	very	ADV
ap-1420	139	11	small	small	ADJ
ap-1420	139	12	circle	circle	NOUN
ap-1420	139	13	c(b	c(b	PROPN
ap-1420	139	14	)	)	PUNCT
ap-1420	140	1	=	=	SYM
ap-1420	140	2	∂d(p	∂d(p	X
ap-1420	140	3	)	)	PUNCT
ap-1420	140	4	|b	|b	NOUN
ap-1420	140	5	=	=	NUM
ap-1420	140	6	fixed	fix	VERB
ap-1420	140	7	with	with	ADP
ap-1420	140	8	the	the	DET
ap-1420	140	9	center	center	NOUN
ap-1420	140	10	at	at	ADP
ap-1420	140	11	the	the	DET
ap-1420	140	12	origin	origin	NOUN
ap-1420	140	13	.	.	PUNCT
ap-1420	141	1	the	the	DET
ap-1420	141	2	interior	interior	NOUN
ap-1420	141	3	of	of	ADP
ap-1420	141	4	the	the	DET
ap-1420	141	5	second	second	ADJ
ap-1420	141	6	domain	domain	NOUN
ap-1420	141	7	d(q	d(q	PROPN
ap-1420	141	8	)	)	PUNCT
ap-1420	141	9	is	be	AUX
ap-1420	141	10	perceivably	perceivably	ADV
ap-1420	141	11	bigger	big	ADJ
ap-1420	141	12	since	since	SCONJ
ap-1420	141	13	,	,	PUNCT
ap-1420	141	14	in	in	ADP
ap-1420	141	15	the	the	DET
ap-1420	141	16	manner	manner	NOUN
ap-1420	141	17	indicated	indicate	VERB
ap-1420	141	18	by	by	ADP
ap-1420	141	19	fig	fig	NOUN
ap-1420	141	20	.	.	PUNCT
ap-1420	142	1	8	8	NUM
ap-1420	143	1	above	above	ADV
ap-1420	143	2	,	,	PUNCT
ap-1420	143	3	it	it	PRON
ap-1420	143	4	occupies	occupy	VERB
ap-1420	143	5	the	the	DET
ap-1420	143	6	large	large	ADJ
ap-1420	143	7	domain	domain	NOUN
ap-1420	143	8	between	between	ADP
ap-1420	143	9	the	the	DET
ap-1420	143	10	two	two	NUM
ap-1420	143	11	outermost	outermost	NOUN
ap-1420	143	12	,	,	PUNCT
ap-1420	143	13	b	b	NOUN
ap-1420	143	14	−	−	PROPN
ap-1420	143	15	dependent	dependent	ADJ
ap-1420	143	16	hyperbolic	hyperbolic	ADJ
ap-1420	143	17	curves	curve	NOUN
ap-1420	143	18	h1,2(b	h1,2(b	PROPN
ap-1420	143	19	)	)	PUNCT
ap-1420	143	20	⊂	⊂	PROPN
ap-1420	144	1	∂d(q)|b	∂d(q)|b	PROPN
ap-1420	144	2	=	=	VERB
ap-1420	144	3	fixed	fix	VERB
ap-1420	144	4	.	.	PUNCT
ap-1420	145	1	the	the	DET
ap-1420	145	2	overlap	overlap	NOUN
ap-1420	145	3	d(h	d(h	PROPN
ap-1420	145	4	)	)	PUNCT
ap-1420	145	5	itself	itself	PRON
ap-1420	145	6	remains	remain	VERB
ap-1420	145	7	empty	empty	ADJ
ap-1420	145	8	because	because	SCONJ
ap-1420	145	9	the	the	DET
ap-1420	145	10	third	third	ADJ
ap-1420	145	11	domain	domain	NOUN
ap-1420	145	12	d(w	d(w	PROPN
ap-1420	145	13	)	)	PUNCT
ap-1420	145	14	is	be	AUX
ap-1420	145	15	localized	localize	VERB
ap-1420	145	16	behind	behind	ADP
ap-1420	145	17	the	the	DET
ap-1420	145	18	two	two	NUM
ap-1420	145	19	remaining	remain	VERB
ap-1420	145	20	and	and	CCONJ
ap-1420	145	21	less	less	ADV
ap-1420	145	22	trivially	trivially	ADV
ap-1420	145	23	parametrized	parametrized	ADJ
ap-1420	145	24	curves	curve	NOUN
ap-1420	145	25	g1,2(b	g1,2(b	PROPN
ap-1420	145	26	)	)	PUNCT
ap-1420	146	1	⊂	⊂	PROPN
ap-1420	146	2	∂d(w	∂d(w	PROPN
ap-1420	146	3	)	)	PUNCT
ap-1420	146	4	|b	|b	NOUN
ap-1420	146	5	=	=	NUM
ap-1420	146	6	fixed	fix	VERB
ap-1420	146	7	.	.	PUNCT
ap-1420	147	1	during	during	ADP
ap-1420	147	2	the	the	DET
ap-1420	147	3	subsequent	subsequent	ADJ
ap-1420	147	4	decrease	decrease	NOUN
ap-1420	147	5	of	of	ADP
ap-1420	147	6	b	b	NOUN
ap-1420	147	7	sampled	sample	VERB
ap-1420	147	8	by	by	ADP
ap-1420	147	9	figure	figure	NOUN
ap-1420	147	10	9	9	NUM
ap-1420	147	11	,	,	PUNCT
ap-1420	147	12	the	the	DET
ap-1420	147	13	two	two	NUM
ap-1420	147	14	curves	curve	NOUN
ap-1420	147	15	gj(b	gj(b	NOUN
ap-1420	147	16	)	)	PUNCT
ap-1420	147	17	and	and	CCONJ
ap-1420	147	18	hj(b	hj(b	NUM
ap-1420	147	19	)	)	PUNCT
ap-1420	147	20	(	(	PUNCT
ap-1420	147	21	assigned	assign	VERB
ap-1420	147	22	the	the	DET
ap-1420	147	23	same	same	ADJ
ap-1420	147	24	subscript	subscript	NOUN
ap-1420	147	25	j	j	PROPN
ap-1420	147	26	=	=	SYM
ap-1420	147	27	1	1	NUM
ap-1420	147	28	or	or	CCONJ
ap-1420	147	29	j	j	NOUN
ap-1420	147	30	=	=	SYM
ap-1420	147	31	2	2	X
ap-1420	147	32	)	)	PUNCT
ap-1420	147	33	get	get	VERB
ap-1420	147	34	closer	close	ADJ
ap-1420	147	35	to	to	ADP
ap-1420	147	36	each	each	DET
ap-1420	147	37	other	other	ADJ
ap-1420	147	38	while	while	SCONJ
ap-1420	147	39	the	the	DET
ap-1420	147	40	internal	internal	ADJ
ap-1420	147	41	circle	circle	NOUN
ap-1420	147	42	c(b	c(b	PROPN
ap-1420	147	43	)	)	PUNCT
ap-1420	147	44	gets	get	VERB
ap-1420	147	45	larger	large	ADJ
ap-1420	147	46	.	.	PUNCT
ap-1420	148	1	at	at	ADP
ap-1420	148	2	each	each	DET
ap-1420	148	3	j	j	PROPN
ap-1420	148	4	and	and	CCONJ
ap-1420	148	5	at	at	ADP
ap-1420	148	6	the	the	DET
ap-1420	148	7	same	same	ADJ
ap-1420	148	8	value	value	NOUN
ap-1420	148	9	of	of	ADP
ap-1420	148	10	b	b	NOUN
ap-1420	148	11	both	both	CCONJ
ap-1420	148	12	the	the	DET
ap-1420	148	13	curves	curve	NOUN
ap-1420	148	14	gj	gj	NOUN
ap-1420	148	15	,	,	PUNCT
ap-1420	148	16	hj	hj	AUX
ap-1420	148	17	touch	touch	VERB
ap-1420	148	18	the	the	DET
ap-1420	148	19	circle	circle	NOUN
ap-1420	148	20	c(b	c(b	PROPN
ap-1420	148	21	)	)	PUNCT
ap-1420	148	22	.	.	PUNCT
ap-1420	149	1	at	at	ADP
ap-1420	149	2	a	a	DET
ap-1420	149	3	still	still	ADV
ap-1420	149	4	smaller	small	ADJ
ap-1420	149	5	b	b	NOUN
ap-1420	149	6	=	=	NOUN
ap-1420	149	7	√	√	ADP
ap-1420	149	8	5	5	NUM
ap-1420	149	9	−	−	PROPN
ap-1420	149	10	1/2	1/2	NUM
ap-1420	149	11	=	=	SYM
ap-1420	149	12	1.736	1.736	NUM
ap-1420	149	13	067	067	NUM
ap-1420	149	14	977	977	NUM
ap-1420	149	15	they	they	PRON
ap-1420	149	16	already	already	ADV
ap-1420	149	17	move	move	VERB
ap-1420	149	18	inside	inside	ADV
ap-1420	149	19	,	,	PUNCT
ap-1420	149	20	sharing	share	VERB
ap-1420	149	21	their	their	PRON
ap-1420	149	22	two	two	NUM
ap-1420	149	23	separate	separate	ADJ
ap-1420	149	24	intersections	intersection	NOUN
ap-1420	149	25	with	with	ADP
ap-1420	149	26	the	the	DET
ap-1420	149	27	circle	circle	NOUN
ap-1420	149	28	.	.	PUNCT
ap-1420	150	1	this	this	DET
ap-1420	150	2	situation	situation	NOUN
ap-1420	150	3	is	be	AUX
ap-1420	150	4	illustrated	illustrate	VERB
ap-1420	150	5	in	in	ADP
ap-1420	150	6	figure	figure	NOUN
ap-1420	150	7	10	10	NUM
ap-1420	150	8	.	.	PUNCT
ap-1420	151	1	the	the	DET
ap-1420	151	2	formation	formation	NOUN
ap-1420	151	3	of	of	ADP
ap-1420	151	4	the	the	DET
ap-1420	151	5	first	first	ADJ
ap-1420	151	6	two	two	NUM
ap-1420	151	7	non	non	ADJ
ap-1420	151	8	-	-	ADJ
ap-1420	151	9	empty	empty	ADJ
ap-1420	151	10	components	component	NOUN
ap-1420	151	11	of	of	ADP
ap-1420	151	12	the	the	DET
ap-1420	151	13	physical	physical	ADJ
ap-1420	151	14	domain	domain	NOUN
ap-1420	151	15	d(h	d(h	PROPN
ap-1420	151	16	)	)	PUNCT
ap-1420	151	17	emerges	emerge	VERB
ap-1420	151	18	during	during	ADP
ap-1420	151	19	the	the	DET
ap-1420	151	20	further	further	ADJ
ap-1420	151	21	decrease	decrease	NOUN
ap-1420	151	22	of	of	ADP
ap-1420	151	23	b.	b.	PROPN
ap-1420	151	24	due	due	ADP
ap-1420	151	25	to	to	ADP
ap-1420	151	26	the	the	DET
ap-1420	151	27	fact	fact	NOUN
ap-1420	151	28	that	that	SCONJ
ap-1420	151	29	the	the	DET
ap-1420	151	30	two	two	NUM
ap-1420	151	31	triple	triple	ADJ
ap-1420	151	32	-	-	PUNCT
ap-1420	151	33	intersection	intersection	NOUN
ap-1420	151	34	points	point	NOUN
ap-1420	151	35	between	between	ADP
ap-1420	151	36	c(b	c(b	PROPN
ap-1420	151	37	)	)	PUNCT
ap-1420	151	38	,	,	PUNCT
ap-1420	151	39	gj	gj	NOUN
ap-1420	151	40	and	and	CCONJ
ap-1420	151	41	hj	hj	PROPN
ap-1420	151	42	move	move	VERB
ap-1420	151	43	apart	apart	ADV
ap-1420	151	44	at	at	ADP
ap-1420	151	45	any	any	DET
ap-1420	151	46	j	j	NOUN
ap-1420	151	47	,	,	PUNCT
ap-1420	151	48	these	these	DET
ap-1420	151	49	two	two	NUM
ap-1420	151	50	components	component	NOUN
ap-1420	151	51	remain	remain	VERB
ap-1420	151	52	disconnected	disconnected	ADJ
ap-1420	151	53	,	,	PUNCT
ap-1420	151	54	extremely	extremely	ADV
ap-1420	151	55	narrow	narrow	ADJ
ap-1420	151	56	and	and	CCONJ
ap-1420	151	57	eye	eye	NOUN
ap-1420	151	58	-	-	PUNCT
ap-1420	151	59	shaped	shape	VERB
ap-1420	151	60	.	.	PUNCT
ap-1420	152	1	these	these	DET
ap-1420	152	2	“	"	PUNCT
ap-1420	152	3	eyes	eye	NOUN
ap-1420	152	4	”	"	PUNCT
ap-1420	152	5	look	look	VERB
ap-1420	152	6	like	like	ADP
ap-1420	152	7	“	"	PUNCT
ap-1420	152	8	almost	almost	ADV
ap-1420	152	9	closed	closed	ADJ
ap-1420	152	10	”	"	PUNCT
ap-1420	152	11	and	and	CCONJ
ap-1420	152	12	“	"	PUNCT
ap-1420	152	13	slowly	slowly	ADV
ap-1420	152	14	opening	opening	NOUN
ap-1420	152	15	”	"	PUNCT
ap-1420	152	16	with	with	ADP
ap-1420	152	17	the	the	DET
ap-1420	152	18	further	further	ADJ
ap-1420	152	19	decrease	decrease	NOUN
ap-1420	152	20	of	of	ADP
ap-1420	152	21	b.	b.	PROPN
ap-1420	152	22	graphically	graphically	ADV
ap-1420	152	23	,	,	PUNCT
ap-1420	152	24	the	the	DET
ap-1420	152	25	generic	generic	ADJ
ap-1420	152	26	situation	situation	NOUN
ap-1420	152	27	in	in	ADP
ap-1420	152	28	illustrated	illustrate	VERB
ap-1420	152	29	by	by	ADP
ap-1420	152	30	figures	figure	NOUN
ap-1420	152	31	11	11	NUM
ap-1420	152	32	and	and	CCONJ
ap-1420	152	33	12	12	NUM
ap-1420	152	34	.	.	PUNCT
ap-1420	153	1	–	–	PUNCT
ap-1420	153	2	3	3	NUM
ap-1420	153	3	–	–	SYM
ap-1420	153	4	2	2	NUM
ap-1420	153	5	–	–	SYM
ap-1420	153	6	1	1	NUM
ap-1420	153	7	0	0	NUM
ap-1420	153	8	1	1	NUM
ap-1420	153	9	2	2	NUM
ap-1420	153	10	3	3	NUM
ap-1420	153	11	c	c	NOUN
ap-1420	153	12	–	–	PUNCT
ap-1420	153	13	3	3	NUM
ap-1420	153	14	–	–	SYM
ap-1420	153	15	2	2	NUM
ap-1420	153	16	–	–	SYM
ap-1420	153	17	1	1	NUM
ap-1420	153	18	0	0	NUM
ap-1420	153	19	1	1	NUM
ap-1420	153	20	2	2	NUM
ap-1420	153	21	3	3	NUM
ap-1420	153	22	a	a	DET
ap-1420	153	23	fig	fig	NOUN
ap-1420	153	24	.	.	PUNCT
ap-1420	154	1	9	9	NUM
ap-1420	154	2	:	:	SYM
ap-1420	154	3	b	b	X
ap-1420	154	4	=	=	PUNCT
ap-1420	154	5	√	√	PROPN
ap-1420	154	6	5−	5−	NUM
ap-1420	154	7	1/100	1/100	NUM
ap-1420	154	8	=	=	SYM
ap-1420	154	9	2.226	2.226	NUM
ap-1420	154	10	067	067	NUM
ap-1420	154	11	977	977	NUM
ap-1420	154	12	–	–	PUNCT
ap-1420	154	13	3	3	NUM
ap-1420	154	14	–	–	SYM
ap-1420	154	15	2	2	NUM
ap-1420	154	16	–	–	SYM
ap-1420	154	17	1	1	NUM
ap-1420	154	18	0	0	NUM
ap-1420	154	19	1	1	NUM
ap-1420	154	20	2	2	NUM
ap-1420	154	21	3	3	NUM
ap-1420	154	22	c	c	NOUN
ap-1420	154	23	–	–	PUNCT
ap-1420	154	24	3	3	NUM
ap-1420	154	25	–	–	SYM
ap-1420	154	26	2	2	NUM
ap-1420	154	27	–	–	SYM
ap-1420	154	28	1	1	NUM
ap-1420	154	29	0	0	NUM
ap-1420	154	30	1	1	NUM
ap-1420	154	31	2	2	NUM
ap-1420	154	32	3	3	NUM
ap-1420	154	33	a	a	DET
ap-1420	154	34	fig	fig	NOUN
ap-1420	154	35	.	.	PUNCT
ap-1420	155	1	10	10	NUM
ap-1420	155	2	:	:	PUNCT
ap-1420	155	3	b	b	X
ap-1420	155	4	=	=	SYM
ap-1420	155	5	√	√	PROPN
ap-1420	155	6	5−	5−	NUM
ap-1420	155	7	1/2	1/2	NUM
ap-1420	155	8	=	=	SYM
ap-1420	155	9	1.736	1.736	NUM
ap-1420	155	10	067	067	NUM
ap-1420	155	11	977	977	NUM
ap-1420	155	12	–	–	PUNCT
ap-1420	155	13	3	3	NUM
ap-1420	155	14	–	–	SYM
ap-1420	155	15	2	2	NUM
ap-1420	155	16	–	–	SYM
ap-1420	155	17	1	1	NUM
ap-1420	155	18	0	0	NUM
ap-1420	155	19	1	1	NUM
ap-1420	155	20	2	2	NUM
ap-1420	155	21	3	3	NUM
ap-1420	155	22	c	c	NOUN
ap-1420	155	23	–	–	PUNCT
ap-1420	155	24	3	3	NUM
ap-1420	155	25	–	–	SYM
ap-1420	155	26	2	2	NUM
ap-1420	155	27	–	–	SYM
ap-1420	155	28	1	1	NUM
ap-1420	155	29	0	0	NUM
ap-1420	155	30	1	1	NUM
ap-1420	155	31	2	2	NUM
ap-1420	155	32	3	3	NUM
ap-1420	155	33	a	a	DET
ap-1420	155	34	fig	fig	NOUN
ap-1420	155	35	.	.	PUNCT
ap-1420	156	1	11	11	NUM
ap-1420	156	2	:	:	SYM
ap-1420	156	3	b	b	X
ap-1420	156	4	=	=	PUNCT
ap-1420	156	5	√	√	PROPN
ap-1420	156	6	5−	5−	NUM
ap-1420	156	7	1	1	NUM
ap-1420	156	8	=	=	SYM
ap-1420	156	9	1.236	1.236	NUM
ap-1420	156	10	067	067	NUM
ap-1420	156	11	977	977	NUM
ap-1420	156	12	–	–	SYM
ap-1420	156	13	3	3	NUM
ap-1420	156	14	–	–	SYM
ap-1420	156	15	2	2	NUM
ap-1420	156	16	–	–	SYM
ap-1420	156	17	1	1	NUM
ap-1420	156	18	0	0	NUM
ap-1420	156	19	1	1	NUM
ap-1420	156	20	2	2	NUM
ap-1420	156	21	3	3	NUM
ap-1420	156	22	c	c	NOUN
ap-1420	156	23	–	–	PUNCT
ap-1420	156	24	3	3	NUM
ap-1420	156	25	–	–	SYM
ap-1420	156	26	2	2	NUM
ap-1420	156	27	–	–	SYM
ap-1420	156	28	1	1	NUM
ap-1420	156	29	0	0	NUM
ap-1420	156	30	1	1	NUM
ap-1420	156	31	2	2	NUM
ap-1420	156	32	3	3	NUM
ap-1420	156	33	a	a	DET
ap-1420	156	34	fig	fig	NOUN
ap-1420	156	35	.	.	PUNCT
ap-1420	157	1	12	12	NUM
ap-1420	157	2	:	:	PUNCT
ap-1420	157	3	b	b	X
ap-1420	157	4	=	=	SYM
ap-1420	157	5	1.01	1.01	NUM
ap-1420	157	6	108	108	NUM
ap-1420	157	7	acta	acta	PROPN
ap-1420	157	8	polytechnica	polytechnica	PROPN
ap-1420	157	9	vol	vol	NOUN
ap-1420	157	10	.	.	PUNCT
ap-1420	158	1	51	51	NUM
ap-1420	158	2	no	no	INTJ
ap-1420	158	3	.	.	PUNCT
ap-1420	159	1	4/2011	4/2011	NUM
ap-1420	159	2	–	–	PUNCT
ap-1420	159	3	3	3	NUM
ap-1420	159	4	–	–	SYM
ap-1420	159	5	2	2	NUM
ap-1420	159	6	–	–	SYM
ap-1420	159	7	1	1	NUM
ap-1420	159	8	0	0	NUM
ap-1420	159	9	1	1	NUM
ap-1420	159	10	2	2	NUM
ap-1420	159	11	3	3	NUM
ap-1420	159	12	c	c	NOUN
ap-1420	159	13	–	–	PUNCT
ap-1420	159	14	3	3	NUM
ap-1420	159	15	–	–	SYM
ap-1420	159	16	2	2	NUM
ap-1420	159	17	–	–	SYM
ap-1420	159	18	1	1	NUM
ap-1420	159	19	0	0	NUM
ap-1420	159	20	1	1	NUM
ap-1420	159	21	2	2	NUM
ap-1420	159	22	3	3	NUM
ap-1420	159	23	a	a	DET
ap-1420	159	24	fig	fig	NOUN
ap-1420	159	25	.	.	PUNCT
ap-1420	160	1	13	13	NUM
ap-1420	160	2	:	:	SYM
ap-1420	160	3	b	b	X
ap-1420	160	4	=	=	SYM
ap-1420	160	5	1	1	NUM
ap-1420	160	6	–	–	SYM
ap-1420	160	7	3	3	NUM
ap-1420	160	8	–	–	SYM
ap-1420	160	9	2	2	NUM
ap-1420	160	10	–	–	SYM
ap-1420	160	11	1	1	NUM
ap-1420	160	12	0	0	NUM
ap-1420	160	13	1	1	NUM
ap-1420	160	14	2	2	NUM
ap-1420	160	15	3	3	NUM
ap-1420	160	16	c	c	NOUN
ap-1420	160	17	–	–	PUNCT
ap-1420	160	18	3	3	NUM
ap-1420	160	19	–	–	SYM
ap-1420	160	20	2	2	NUM
ap-1420	160	21	–	–	SYM
ap-1420	160	22	1	1	NUM
ap-1420	160	23	0	0	NUM
ap-1420	160	24	1	1	NUM
ap-1420	160	25	2	2	NUM
ap-1420	160	26	3	3	NUM
ap-1420	160	27	a	a	DET
ap-1420	160	28	fig	fig	NOUN
ap-1420	160	29	.	.	PUNCT
ap-1420	161	1	14	14	NUM
ap-1420	161	2	:	:	PUNCT
ap-1420	161	3	b	b	X
ap-1420	161	4	=	=	SYM
ap-1420	161	5	0.999	0.999	NUM
ap-1420	161	6	–	–	PUNCT
ap-1420	161	7	3	3	NUM
ap-1420	161	8	–	–	SYM
ap-1420	161	9	2	2	NUM
ap-1420	161	10	–	–	SYM
ap-1420	161	11	1	1	NUM
ap-1420	161	12	0	0	NUM
ap-1420	161	13	1	1	NUM
ap-1420	161	14	2	2	NUM
ap-1420	161	15	3	3	NUM
ap-1420	161	16	c	c	NOUN
ap-1420	161	17	–	–	PUNCT
ap-1420	161	18	3	3	NUM
ap-1420	161	19	–	–	SYM
ap-1420	161	20	2	2	NUM
ap-1420	161	21	–	–	SYM
ap-1420	161	22	1	1	NUM
ap-1420	161	23	0	0	NUM
ap-1420	161	24	1	1	NUM
ap-1420	161	25	2	2	NUM
ap-1420	161	26	3	3	NUM
ap-1420	161	27	a	a	DET
ap-1420	161	28	fig	fig	NOUN
ap-1420	161	29	.	.	PUNCT
ap-1420	162	1	15	15	NUM
ap-1420	162	2	:	:	PUNCT
ap-1420	162	3	b	b	X
ap-1420	162	4	=	=	SYM
ap-1420	162	5	0.6	0.6	NUM
ap-1420	162	6	–	–	PUNCT
ap-1420	162	7	3	3	NUM
ap-1420	162	8	–	–	SYM
ap-1420	162	9	2	2	NUM
ap-1420	162	10	–	–	SYM
ap-1420	162	11	1	1	NUM
ap-1420	162	12	0	0	NUM
ap-1420	162	13	1	1	NUM
ap-1420	162	14	2	2	NUM
ap-1420	162	15	3	3	NUM
ap-1420	162	16	c	c	NOUN
ap-1420	162	17	–	–	PUNCT
ap-1420	162	18	3	3	NUM
ap-1420	162	19	–	–	SYM
ap-1420	162	20	2	2	NUM
ap-1420	162	21	–	–	SYM
ap-1420	162	22	1	1	NUM
ap-1420	162	23	0	0	NUM
ap-1420	162	24	1	1	NUM
ap-1420	162	25	2	2	NUM
ap-1420	162	26	3	3	NUM
ap-1420	162	27	a	a	DET
ap-1420	162	28	fig	fig	NOUN
ap-1420	162	29	.	.	PUNCT
ap-1420	163	1	16	16	NUM
ap-1420	163	2	:	:	PUNCT
ap-1420	163	3	b	b	X
ap-1420	163	4	=	=	SYM
ap-1420	163	5	0.4	0.4	NUM
ap-1420	163	6	the	the	DET
ap-1420	163	7	next	next	ADJ
ap-1420	163	8	qualitative	qualitative	ADJ
ap-1420	163	9	change	change	NOUN
ap-1420	163	10	of	of	ADP
ap-1420	163	11	the	the	DET
ap-1420	163	12	pattern	pattern	NOUN
ap-1420	163	13	occurs	occur	VERB
ap-1420	163	14	at	at	ADP
ap-1420	163	15	the	the	DET
ap-1420	163	16	above	above	ADV
ap-1420	163	17	-	-	PUNCT
ap-1420	163	18	mentioned	mention	VERB
ap-1420	163	19	special	special	ADJ
ap-1420	163	20	value	value	NOUN
ap-1420	163	21	of	of	ADP
ap-1420	163	22	b	b	NOUN
ap-1420	163	23	=	=	SYM
ap-1420	163	24	1	1	NUM
ap-1420	163	25	,	,	PUNCT
ap-1420	163	26	at	at	ADP
ap-1420	163	27	which	which	PRON
ap-1420	163	28	we	we	PRON
ap-1420	163	29	touch	touch	VERB
ap-1420	163	30	the	the	DET
ap-1420	163	31	saddle	saddle	NOUN
ap-1420	163	32	of	of	ADP
ap-1420	163	33	the	the	DET
ap-1420	163	34	surface	surface	NOUN
ap-1420	163	35	∂d(w	∂d(w	PROPN
ap-1420	163	36	)	)	PUNCT
ap-1420	163	37	.	.	PUNCT
ap-1420	164	1	slightly	slightly	ADV
ap-1420	164	2	before	before	SCONJ
ap-1420	164	3	this	this	PRON
ap-1420	164	4	happens	happen	VERB
ap-1420	164	5	,	,	PUNCT
ap-1420	164	6	we	we	PRON
ap-1420	164	7	encounter	encounter	VERB
ap-1420	164	8	the	the	DET
ap-1420	164	9	situation	situation	NOUN
ap-1420	164	10	depicted	depict	VERB
ap-1420	164	11	in	in	ADP
ap-1420	164	12	figure	figure	NOUN
ap-1420	164	13	12	12	NUM
ap-1420	164	14	where	where	SCONJ
ap-1420	164	15	the	the	DET
ap-1420	164	16	two	two	NUM
ap-1420	164	17	separate	separate	ADJ
ap-1420	164	18	subdomains	subdomain	NOUN
ap-1420	164	19	of	of	ADP
ap-1420	164	20	the	the	DET
ap-1420	164	21	physical	physical	ADJ
ap-1420	164	22	domain	domain	NOUN
ap-1420	164	23	d(h)|b	d(h)|b	PROPN
ap-1420	164	24	=	=	PRON
ap-1420	164	25	fixed	fix	VERB
ap-1420	164	26	already	already	ADV
ap-1420	164	27	almost	almost	ADV
ap-1420	164	28	touch	touch	VERB
ap-1420	164	29	.	.	PUNCT
ap-1420	165	1	next	next	ADV
ap-1420	165	2	they	they	PRON
ap-1420	165	3	do	do	AUX
ap-1420	165	4	touch	touch	NOUN
ap-1420	165	5	(	(	PUNCT
ap-1420	165	6	cf	cf	NOUN
ap-1420	165	7	.	.	PUNCT
ap-1420	165	8	figure	figure	NOUN
ap-1420	165	9	13	13	NUM
ap-1420	165	10	)	)	PUNCT
ap-1420	165	11	and	and	CCONJ
ap-1420	165	12	,	,	PUNCT
ap-1420	165	13	subsequently	subsequently	ADV
ap-1420	165	14	,	,	PUNCT
ap-1420	165	15	get	get	AUX
ap-1420	165	16	connected	connect	VERB
ap-1420	165	17	(	(	PUNCT
ap-1420	165	18	cf	cf	NOUN
ap-1420	165	19	.	.	PUNCT
ap-1420	166	1	the	the	DET
ap-1420	166	2	next	next	ADJ
ap-1420	166	3	figure	figure	NOUN
ap-1420	166	4	14	14	NUM
ap-1420	166	5	)	)	PUNCT
ap-1420	166	6	.	.	PUNCT
ap-1420	167	1	surprisingly	surprisingly	ADV
ap-1420	167	2	enough	enough	ADV
ap-1420	167	3	,	,	PUNCT
ap-1420	167	4	below	below	ADP
ap-1420	167	5	the	the	DET
ap-1420	167	6	saddle	saddle	NOUN
ap-1420	167	7	point	point	NOUN
ap-1420	168	1	b	b	NOUN
ap-1420	168	2	=	=	SYM
ap-1420	168	3	1	1	NUM
ap-1420	168	4	the	the	DET
ap-1420	168	5	topological	topological	ADJ
ap-1420	168	6	surprises	surprise	NOUN
ap-1420	168	7	are	be	AUX
ap-1420	168	8	still	still	ADV
ap-1420	168	9	not	not	PART
ap-1420	168	10	at	at	ADP
ap-1420	168	11	the	the	DET
ap-1420	168	12	end	end	NOUN
ap-1420	168	13	.	.	PUNCT
ap-1420	169	1	there	there	PRON
ap-1420	169	2	is	be	VERB
ap-1420	169	3	no	no	DET
ap-1420	169	4	real	real	ADJ
ap-1420	169	5	news	news	NOUN
ap-1420	169	6	even	even	ADV
ap-1420	169	7	at	at	ADP
ap-1420	169	8	b	b	PROPN
ap-1420	169	9	=	=	SYM
ap-1420	169	10	0.6	0.6	NUM
ap-1420	169	11	(	(	PUNCT
ap-1420	169	12	cf	cf	NOUN
ap-1420	169	13	.	.	PUNCT
ap-1420	169	14	figure	figure	NOUN
ap-1420	169	15	15	15	NUM
ap-1420	169	16	)	)	PUNCT
ap-1420	169	17	.	.	PUNCT
ap-1420	170	1	nevertheless	nevertheless	ADV
ap-1420	170	2	,	,	PUNCT
ap-1420	170	3	in	in	ADP
ap-1420	170	4	the	the	DET
ap-1420	170	5	latter	latter	ADJ
ap-1420	170	6	picture	picture	NOUN
ap-1420	170	7	we	we	PRON
ap-1420	170	8	must	must	AUX
ap-1420	170	9	already	already	ADV
ap-1420	170	10	pay	pay	VERB
ap-1420	170	11	attention	attention	NOUN
ap-1420	170	12	to	to	ADP
ap-1420	170	13	the	the	DET
ap-1420	170	14	two	two	NUM
ap-1420	170	15	subdomains	subdomain	NOUN
ap-1420	170	16	with	with	ADP
ap-1420	170	17	the	the	DET
ap-1420	170	18	maximal	maximal	ADJ
ap-1420	170	19	a2s	a2s	NOUN
ap-1420	170	20	.	.	PUNCT
ap-1420	171	1	having	having	AUX
ap-1420	171	2	selected	select	VERB
ap-1420	171	3	just	just	ADV
ap-1420	171	4	the	the	DET
ap-1420	171	5	right	right	ADJ
ap-1420	171	6	end	end	NOUN
ap-1420	171	7	of	of	ADP
ap-1420	171	8	the	the	DET
ap-1420	171	9	(	(	PUNCT
ap-1420	171	10	symmetric	symmetric	ADJ
ap-1420	171	11	)	)	PUNCT
ap-1420	171	12	picture	picture	NOUN
ap-1420	171	13	at	at	ADP
ap-1420	171	14	the	the	DET
ap-1420	171	15	positive	positive	ADJ
ap-1420	171	16	a	a	DET
ap-1420	171	17	≈	≈	PROPN
ap-1420	171	18	3	3	NUM
ap-1420	171	19	,	,	PUNCT
ap-1420	171	20	we	we	PRON
ap-1420	171	21	reveal	reveal	VERB
ap-1420	171	22	the	the	DET
ap-1420	171	23	emergence	emergence	NOUN
ap-1420	171	24	of	of	ADP
ap-1420	171	25	a	a	DET
ap-1420	171	26	tendency	tendency	NOUN
ap-1420	171	27	towards	towards	ADP
ap-1420	171	28	a	a	DET
ap-1420	171	29	new	new	ADJ
ap-1420	171	30	intersection	intersection	NOUN
ap-1420	171	31	between	between	ADP
ap-1420	171	32	the	the	DET
ap-1420	171	33	(	(	PUNCT
ap-1420	171	34	hitherto	hitherto	NOUN
ap-1420	171	35	,	,	PUNCT
ap-1420	171	36	safely	safely	ADV
ap-1420	171	37	external	external	ADJ
ap-1420	171	38	and	and	CCONJ
ap-1420	171	39	non	non	ADJ
ap-1420	171	40	-	-	ADJ
ap-1420	171	41	interfering	interfering	ADJ
ap-1420	171	42	)	)	PUNCT
ap-1420	171	43	second	second	ADJ
ap-1420	171	44	branches	branch	NOUN
ap-1420	171	45	of	of	ADP
ap-1420	171	46	the	the	DET
ap-1420	171	47	q(a	q(a	PROPN
ap-1420	171	48	,	,	PUNCT
ap-1420	171	49	b	b	NOUN
ap-1420	171	50	,	,	PUNCT
ap-1420	171	51	c	c	NOUN
ap-1420	171	52	,	,	PUNCT
ap-1420	171	53	)	)	PUNCT
ap-1420	172	1	−related	−related	PROPN
ap-1420	172	2	hyperbolas	hyperbolas	PROPN
ap-1420	172	3	h(second	h(second	PROPN
ap-1420	172	4	)	)	PUNCT
ap-1420	172	5	j	j	PROPN
ap-1420	172	6	and	and	CCONJ
ap-1420	172	7	of	of	ADP
ap-1420	172	8	the	the	DET
ap-1420	172	9	back	back	ADV
ap-1420	172	10	-	-	PUNCT
ap-1420	172	11	bending	bend	VERB
ap-1420	172	12	boundaries	boundary	NOUN
ap-1420	172	13	∂d(w	∂d(w	PROPN
ap-1420	172	14	)	)	PUNCT
ap-1420	172	15	|b	|b	NOUN
ap-1420	172	16	=	=	NUM
ap-1420	172	17	fixed	fix	VERB
ap-1420	172	18	.	.	PUNCT
ap-1420	173	1	for	for	ADP
ap-1420	173	2	example	example	NOUN
ap-1420	173	3	,	,	PUNCT
ap-1420	173	4	these	these	DET
ap-1420	173	5	curves	curve	NOUN
ap-1420	173	6	get	get	VERB
ap-1420	173	7	very	very	ADV
ap-1420	173	8	close	close	ADJ
ap-1420	173	9	to	to	ADP
ap-1420	173	10	each	each	DET
ap-1420	173	11	other	other	ADJ
ap-1420	173	12	but	but	CCONJ
ap-1420	173	13	still	still	ADV
ap-1420	173	14	do	do	AUX
ap-1420	173	15	not	not	PART
ap-1420	173	16	intersect	intersect	VERB
ap-1420	173	17	yet	yet	ADV
ap-1420	173	18	at	at	ADP
ap-1420	173	19	b	b	PROPN
ap-1420	173	20	=	=	SYM
ap-1420	173	21	0.4	0.4	NUM
ap-1420	173	22	,	,	PUNCT
ap-1420	173	23	also	also	ADV
ap-1420	173	24	staying	stay	VERB
ap-1420	173	25	outside	outside	ADP
ap-1420	173	26	the	the	DET
ap-1420	173	27	central	central	ADJ
ap-1420	173	28	circular	circular	ADJ
ap-1420	173	29	domain	domain	NOUN
ap-1420	173	30	d(p	d(p	PROPN
ap-1420	173	31	)	)	PUNCT
ap-1420	174	1	(	(	PUNCT
ap-1420	174	2	cf	cf	X
ap-1420	174	3	.	.	PUNCT
ap-1420	174	4	figure	figure	NOUN
ap-1420	174	5	16	16	NUM
ap-1420	174	6	)	)	PUNCT
ap-1420	174	7	.	.	PUNCT
ap-1420	175	1	a	a	DET
ap-1420	175	2	change	change	NOUN
ap-1420	175	3	in	in	ADP
ap-1420	175	4	the	the	DET
ap-1420	175	5	pattern	pattern	NOUN
ap-1420	175	6	is	be	AUX
ap-1420	175	7	finally	finally	ADV
ap-1420	175	8	achieved	achieve	VERB
ap-1420	175	9	slightly	slightly	ADV
ap-1420	175	10	below	below	ADP
ap-1420	175	11	b	b	PROPN
ap-1420	175	12	=	=	SYM
ap-1420	175	13	0.4	0.4	NUM
ap-1420	175	14	,	,	PUNCT
ap-1420	175	15	at	at	ADP
ap-1420	175	16	the	the	DET
ap-1420	175	17	moment	moment	NOUN
ap-1420	175	18	when	when	SCONJ
ap-1420	175	19	both	both	PRON
ap-1420	175	20	of	of	ADP
ap-1420	175	21	the	the	DET
ap-1420	175	22	new	new	ADJ
ap-1420	175	23	intersection	intersection	NOUN
ap-1420	175	24	candidates	candidate	NOUN
ap-1420	175	25	touch	touch	VERB
ap-1420	175	26	the	the	DET
ap-1420	175	27	circle	circle	NOUN
ap-1420	175	28	c(b	c(b	PROPN
ap-1420	175	29	)	)	PUNCT
ap-1420	176	1	=	=	SYM
ap-1420	176	2	∂d(p	∂d(p	X
ap-1420	176	3	)	)	PUNCT
ap-1420	176	4	|b	|b	NOUN
ap-1420	176	5	=	=	NUM
ap-1420	176	6	fixed	fix	VERB
ap-1420	176	7	in	in	ADP
ap-1420	176	8	a	a	DET
ap-1420	176	9	single	single	ADJ
ap-1420	176	10	point	point	NOUN
ap-1420	176	11	.	.	PUNCT
ap-1420	177	1	subsequently	subsequently	ADV
ap-1420	177	2	,	,	PUNCT
ap-1420	177	3	this	this	DET
ap-1420	177	4	point	point	NOUN
ap-1420	177	5	splits	split	VERB
ap-1420	177	6	into	into	ADP
ap-1420	177	7	the	the	DET
ap-1420	177	8	pair	pair	NOUN
ap-1420	177	9	of	of	ADP
ap-1420	177	10	triple	triple	ADJ
ap-1420	177	11	intersections	intersection	NOUN
ap-1420	177	12	.	.	PUNCT
ap-1420	178	1	the	the	DET
ap-1420	178	2	further	further	ADJ
ap-1420	178	3	decrease	decrease	NOUN
ap-1420	178	4	of	of	ADP
ap-1420	178	5	|b|	|b|	PROPN
ap-1420	178	6	forms	form	VERB
ap-1420	178	7	the	the	DET
ap-1420	178	8	pattern	pattern	NOUN
ap-1420	178	9	which	which	PRON
ap-1420	178	10	is	be	AUX
ap-1420	178	11	sampled	sample	VERB
ap-1420	178	12	in	in	ADP
ap-1420	178	13	figure	figure	NOUN
ap-1420	178	14	17	17	NUM
ap-1420	178	15	at	at	ADP
ap-1420	178	16	b	b	NOUN
ap-1420	178	17	=	=	NOUN
ap-1420	178	18	0.2	0.2	NUM
ap-1420	178	19	and	and	CCONJ
ap-1420	178	20	in	in	ADP
ap-1420	178	21	figure	figure	NOUN
ap-1420	178	22	18	18	NUM
ap-1420	178	23	at	at	ADP
ap-1420	178	24	b	b	NOUN
ap-1420	178	25	=	=	SYM
ap-1420	178	26	0.1	0.1	NUM
ap-1420	178	27	.	.	PUNCT
ap-1420	179	1	–	–	PUNCT
ap-1420	179	2	3	3	NUM
ap-1420	179	3	–	–	SYM
ap-1420	179	4	2	2	NUM
ap-1420	179	5	–	–	SYM
ap-1420	179	6	1	1	NUM
ap-1420	179	7	0	0	NUM
ap-1420	179	8	1	1	NUM
ap-1420	179	9	2	2	NUM
ap-1420	179	10	3	3	NUM
ap-1420	179	11	c	c	NOUN
ap-1420	179	12	–	–	PUNCT
ap-1420	179	13	3	3	NUM
ap-1420	179	14	–	–	SYM
ap-1420	179	15	2	2	NUM
ap-1420	179	16	–	–	SYM
ap-1420	179	17	1	1	NUM
ap-1420	179	18	0	0	NUM
ap-1420	179	19	1	1	NUM
ap-1420	179	20	2	2	NUM
ap-1420	179	21	3	3	NUM
ap-1420	179	22	a	a	DET
ap-1420	179	23	fig	fig	NOUN
ap-1420	179	24	.	.	PUNCT
ap-1420	180	1	17	17	NUM
ap-1420	180	2	:	:	PUNCT
ap-1420	180	3	b	b	X
ap-1420	180	4	=	=	SYM
ap-1420	180	5	0.2	0.2	NUM
ap-1420	180	6	–	–	SYM
ap-1420	180	7	3	3	NUM
ap-1420	180	8	–	–	SYM
ap-1420	180	9	2	2	NUM
ap-1420	180	10	–	–	SYM
ap-1420	180	11	1	1	NUM
ap-1420	180	12	0	0	NUM
ap-1420	180	13	1	1	NUM
ap-1420	180	14	2	2	NUM
ap-1420	180	15	3	3	NUM
ap-1420	180	16	c	c	NOUN
ap-1420	180	17	–	–	PUNCT
ap-1420	180	18	3	3	NUM
ap-1420	180	19	–	–	SYM
ap-1420	180	20	2	2	NUM
ap-1420	180	21	–	–	SYM
ap-1420	180	22	1	1	NUM
ap-1420	180	23	0	0	NUM
ap-1420	180	24	1	1	NUM
ap-1420	180	25	2	2	NUM
ap-1420	180	26	3	3	NUM
ap-1420	180	27	a	a	DET
ap-1420	180	28	fig	fig	NOUN
ap-1420	180	29	.	.	PUNCT
ap-1420	181	1	18	18	NUM
ap-1420	181	2	:	:	PUNCT
ap-1420	181	3	a	a	DET
ap-1420	181	4	return	return	NOUN
ap-1420	181	5	to	to	ADP
ap-1420	181	6	the	the	DET
ap-1420	181	7	triply	triply	ADV
ap-1420	181	8	connected	connect	VERB
ap-1420	181	9	d(h	d(h	PROPN
ap-1420	181	10	)	)	PUNCT
ap-1420	181	11	at	at	ADP
ap-1420	181	12	b	b	NOUN
ap-1420	181	13	=	=	SYM
ap-1420	181	14	0.1	0.1	NUM
ap-1420	181	15	109	109	NUM
ap-1420	181	16	acta	acta	PROPN
ap-1420	181	17	polytechnica	polytechnica	PROPN
ap-1420	181	18	vol	vol	NOUN
ap-1420	181	19	.	.	PUNCT
ap-1420	182	1	51	51	NUM
ap-1420	182	2	no	no	INTJ
ap-1420	182	3	.	.	PUNCT
ap-1420	183	1	4/2011	4/2011	NUM
ap-1420	183	2	–	–	PUNCT
ap-1420	183	3	1.5	1.5	NUM
ap-1420	183	4	–	–	SYM
ap-1420	183	5	1	1	NUM
ap-1420	183	6	–	–	SYM
ap-1420	183	7	0.5	0.5	NUM
ap-1420	183	8	0	0	NUM
ap-1420	183	9	0.5	0.5	NUM
ap-1420	183	10	1	1	NUM
ap-1420	183	11	c	c	PROPN
ap-1420	183	12	2.6	2.6	NUM
ap-1420	183	13	2.7	2.7	NUM
ap-1420	183	14	2.8	2.8	NUM
ap-1420	183	15	2.9	2.9	NUM
ap-1420	183	16	3	3	NUM
ap-1420	183	17	3.1	3.1	NUM
ap-1420	183	18	3.2	3.2	NUM
ap-1420	183	19	a	a	DET
ap-1420	183	20	fig	fig	NOUN
ap-1420	183	21	.	.	PUNCT
ap-1420	184	1	19	19	NUM
ap-1420	184	2	:	:	PUNCT
ap-1420	184	3	a	a	DET
ap-1420	184	4	magnified	magnify	VERB
ap-1420	184	5	detail	detail	NOUN
ap-1420	184	6	of	of	ADP
ap-1420	184	7	figure	figure	NOUN
ap-1420	184	8	18	18	NUM
ap-1420	184	9	0.9	0.9	NUM
ap-1420	184	10	0.92	0.92	NUM
ap-1420	184	11	0.94	0.94	NUM
ap-1420	184	12	0.96	0.96	NUM
ap-1420	184	13	0.98	0.98	NUM
ap-1420	184	14	1	1	NUM
ap-1420	184	15	1.02	1.02	NUM
ap-1420	184	16	c	c	NOUN
ap-1420	184	17	2.98	2.98	NUM
ap-1420	184	18	2.99	2.99	NUM
ap-1420	184	19	3	3	NUM
ap-1420	184	20	3.01	3.01	NUM
ap-1420	184	21	3.02	3.02	NUM
ap-1420	184	22	a	a	DET
ap-1420	184	23	fig	fig	NOUN
ap-1420	184	24	.	.	PUNCT
ap-1420	185	1	20	20	NUM
ap-1420	185	2	:	:	PUNCT
ap-1420	185	3	a	a	DET
ap-1420	185	4	magnified	magnify	VERB
ap-1420	185	5	detail	detail	NOUN
ap-1420	185	6	of	of	ADP
ap-1420	185	7	figure	figure	NOUN
ap-1420	185	8	19	19	NUM
ap-1420	185	9	certainly	certainly	ADV
ap-1420	185	10	,	,	PUNCT
ap-1420	185	11	the	the	DET
ap-1420	185	12	key	key	ADJ
ap-1420	185	13	features	feature	NOUN
ap-1420	185	14	of	of	ADP
ap-1420	185	15	the	the	DET
ap-1420	185	16	new	new	ADJ
ap-1420	185	17	situation	situation	NOUN
ap-1420	185	18	are	be	AUX
ap-1420	185	19	better	well	ADV
ap-1420	185	20	visible	visible	ADJ
ap-1420	185	21	,	,	PUNCT
ap-1420	185	22	at	at	ADP
ap-1420	185	23	the	the	DET
ap-1420	185	24	illustrative	illustrative	ADJ
ap-1420	185	25	b	b	NOUN
ap-1420	185	26	=	=	SYM
ap-1420	185	27	0.1	0.1	NUM
ap-1420	185	28	,	,	PUNCT
ap-1420	185	29	in	in	ADP
ap-1420	185	30	its	its	PRON
ap-1420	185	31	magnified	magnify	VERB
ap-1420	185	32	presentation	presentation	NOUN
ap-1420	185	33	,	,	PUNCT
ap-1420	185	34	as	as	SCONJ
ap-1420	185	35	mediated	mediate	VERB
ap-1420	185	36	by	by	ADP
ap-1420	185	37	figures	figure	NOUN
ap-1420	185	38	19	19	NUM
ap-1420	185	39	and	and	CCONJ
ap-1420	185	40	20	20	NUM
ap-1420	185	41	.	.	PUNCT
ap-1420	186	1	now	now	ADV
ap-1420	186	2	we	we	PRON
ap-1420	186	3	may	may	AUX
ap-1420	186	4	return	return	VERB
ap-1420	186	5	to	to	ADP
ap-1420	186	6	the	the	DET
ap-1420	186	7	limiting	limit	VERB
ap-1420	186	8	pattern	pattern	NOUN
ap-1420	186	9	of	of	ADP
ap-1420	186	10	figure	figure	NOUN
ap-1420	186	11	4	4	NUM
ap-1420	186	12	,	,	PUNCT
ap-1420	186	13	where	where	SCONJ
ap-1420	186	14	we	we	PRON
ap-1420	186	15	witness	witness	VERB
ap-1420	186	16	the	the	DET
ap-1420	186	17	abrupt	abrupt	ADJ
ap-1420	186	18	change	change	NOUN
ap-1420	186	19	of	of	ADP
ap-1420	186	20	the	the	DET
ap-1420	186	21	topology	topology	NOUN
ap-1420	186	22	caused	cause	VERB
ap-1420	186	23	by	by	ADP
ap-1420	186	24	the	the	DET
ap-1420	186	25	final	final	ADJ
ap-1420	186	26	confluence	confluence	NOUN
ap-1420	186	27	of	of	ADP
ap-1420	186	28	the	the	DET
ap-1420	186	29	straight	straight	ADJ
ap-1420	186	30	and	and	CCONJ
ap-1420	186	31	backbanding	backbande	VERB
ap-1420	186	32	branch	branch	NOUN
ap-1420	186	33	of	of	ADP
ap-1420	186	34	the	the	DET
ap-1420	186	35	boundary	boundary	ADJ
ap-1420	186	36	∂d(w	∂d(w	PROPN
ap-1420	186	37	)	)	PUNCT
ap-1420	186	38	|b	|b	NOUN
ap-1420	186	39	=	=	NUM
ap-1420	186	40	fixed	fix	VERB
ap-1420	186	41	in	in	ADP
ap-1420	186	42	the	the	DET
ap-1420	186	43	limit	limit	NOUN
ap-1420	186	44	b	b	NOUN
ap-1420	186	45	→	→	SYM
ap-1420	186	46	0	0	NUM
ap-1420	186	47	.	.	PUNCT
ap-1420	187	1	obviously	obviously	ADV
ap-1420	187	2	,	,	PUNCT
ap-1420	187	3	in	in	ADP
ap-1420	187	4	a	a	DET
ap-1420	187	5	way	way	NOUN
ap-1420	187	6	confirmed	confirm	VERB
ap-1420	187	7	by	by	ADP
ap-1420	187	8	the	the	DET
ap-1420	187	9	complementary	complementary	ADJ
ap-1420	187	10	results	result	NOUN
ap-1420	187	11	of	of	ADP
ap-1420	187	12	section	section	NOUN
ap-1420	187	13	3.3	3.3	NUM
ap-1420	187	14	,	,	PUNCT
ap-1420	187	15	such	such	DET
ap-1420	187	16	a	a	DET
ap-1420	187	17	confluence	confluence	NOUN
ap-1420	187	18	of	of	ADP
ap-1420	187	19	the	the	DET
ap-1420	187	20	boundaries	boundary	NOUN
ap-1420	187	21	only	only	ADV
ap-1420	187	22	occurs	occur	VERB
ap-1420	187	23	in	in	ADP
ap-1420	187	24	the	the	DET
ap-1420	187	25	limit	limit	NOUN
ap-1420	187	26	,	,	PUNCT
ap-1420	187	27	so	so	SCONJ
ap-1420	187	28	that	that	SCONJ
ap-1420	187	29	the	the	DET
ap-1420	187	30	theedimensional	theedimensional	ADJ
ap-1420	187	31	version	version	NOUN
ap-1420	187	32	of	of	ADP
ap-1420	187	33	the	the	DET
ap-1420	187	34	open	open	ADJ
ap-1420	187	35	set	set	NOUN
ap-1420	187	36	d(h	d(h	PROPN
ap-1420	187	37	)	)	PUNCT
ap-1420	187	38	is	be	AUX
ap-1420	187	39	ultimately	ultimately	ADV
ap-1420	187	40	confirmed	confirm	VERB
ap-1420	187	41	to	to	PART
ap-1420	187	42	be	be	AUX
ap-1420	187	43	triply	triply	ADV
ap-1420	187	44	connected	connect	VERB
ap-1420	187	45	.	.	PUNCT
ap-1420	188	1	5	5	NUM
ap-1420	188	2	summary	summary	NOUN
ap-1420	188	3	in	in	ADP
ap-1420	188	4	the	the	DET
ap-1420	188	5	history	history	NOUN
ap-1420	188	6	of	of	ADP
ap-1420	188	7	pure	pure	ADJ
ap-1420	188	8	mathematics	mathematic	NOUN
ap-1420	188	9	the	the	DET
ap-1420	188	10	specification	specification	NOUN
ap-1420	188	11	of	of	ADP
ap-1420	188	12	the	the	DET
ap-1420	188	13	horizons	horizons	PROPN
ap-1420	188	14	∂d(h	∂d(h	PROPN
ap-1420	188	15	)	)	PUNCT
ap-1420	188	16	(	(	PUNCT
ap-1420	188	17	called	call	VERB
ap-1420	188	18	,	,	PUNCT
ap-1420	188	19	often	often	ADV
ap-1420	188	20	,	,	PUNCT
ap-1420	188	21	“	"	PUNCT
ap-1420	188	22	discriminant	discriminant	ADJ
ap-1420	188	23	surfaces	surface	NOUN
ap-1420	188	24	”	"	PUNCT
ap-1420	188	25	in	in	ADP
ap-1420	188	26	this	this	DET
ap-1420	188	27	context	context	NOUN
ap-1420	188	28	)	)	PUNCT
ap-1420	188	29	has	have	AUX
ap-1420	188	30	been	be	AUX
ap-1420	188	31	perceived	perceive	VERB
ap-1420	188	32	as	as	ADP
ap-1420	188	33	a	a	DET
ap-1420	188	34	challenging	challenging	ADJ
ap-1420	188	35	and	and	CCONJ
ap-1420	188	36	rather	rather	ADV
ap-1420	188	37	difficult	difficult	ADJ
ap-1420	188	38	problem	problem	NOUN
ap-1420	188	39	even	even	ADV
ap-1420	188	40	in	in	ADP
ap-1420	188	41	its	its	PRON
ap-1420	188	42	first	first	ADJ
ap-1420	188	43	“	"	PUNCT
ap-1420	188	44	unsolvable	unsolvable	ADJ
ap-1420	188	45	”	"	PUNCT
ap-1420	188	46	case	case	NOUN
ap-1420	188	47	characterized	characterize	VERB
ap-1420	188	48	,	,	PUNCT
ap-1420	188	49	in	in	ADP
ap-1420	188	50	our	our	PRON
ap-1420	188	51	present	present	ADJ
ap-1420	188	52	notation	notation	NOUN
ap-1420	188	53	,	,	PUNCT
ap-1420	188	54	by	by	ADP
ap-1420	188	55	the	the	DET
ap-1420	188	56	hilbert	hilbert	NOUN
ap-1420	188	57	-	-	PUNCT
ap-1420	188	58	space	space	NOUN
ap-1420	188	59	dimensions	dimension	NOUN
ap-1420	188	60	n	n	NOUN
ap-1420	188	61	=	=	SYM
ap-1420	188	62	5	5	NUM
ap-1420	189	1	[	[	X
ap-1420	189	2	11	11	NUM
ap-1420	189	3	]	]	PUNCT
ap-1420	189	4	.	.	PUNCT
ap-1420	190	1	in	in	ADP
ap-1420	190	2	certain	certain	ADJ
ap-1420	190	3	mathematically	mathematically	ADV
ap-1420	190	4	natural	natural	ADJ
ap-1420	190	5	directions	direction	NOUN
ap-1420	190	6	real	real	ADJ
ap-1420	190	7	progress	progress	NOUN
ap-1420	190	8	is	be	AUX
ap-1420	190	9	of	of	ADP
ap-1420	190	10	amazingly	amazingly	ADV
ap-1420	190	11	recent	recent	ADJ
ap-1420	190	12	date	date	NOUN
ap-1420	191	1	[	[	X
ap-1420	191	2	12	12	NUM
ap-1420	191	3	]	]	PUNCT
ap-1420	191	4	.	.	PUNCT
ap-1420	192	1	remarkable	remarkable	ADJ
ap-1420	192	2	parallel	parallel	ADJ
ap-1420	192	3	developments	development	NOUN
ap-1420	192	4	also	also	ADV
ap-1420	192	5	occurred	occur	VERB
ap-1420	192	6	in	in	ADP
ap-1420	192	7	several	several	ADJ
ap-1420	192	8	applied	apply	VERB
ap-1420	192	9	-	-	PUNCT
ap-1420	192	10	mathematics	mathematics	NOUN
ap-1420	192	11	oriented	orient	VERB
ap-1420	192	12	studies	study	NOUN
ap-1420	192	13	paying	pay	VERB
ap-1420	192	14	attention	attention	NOUN
ap-1420	192	15	to	to	ADP
ap-1420	192	16	the	the	DET
ap-1420	192	17	natural	natural	ADJ
ap-1420	192	18	presence	presence	NOUN
ap-1420	192	19	of	of	ADP
ap-1420	192	20	more	more	ADJ
ap-1420	192	21	symmetries	symmetry	NOUN
ap-1420	192	22	in	in	ADP
ap-1420	192	23	the	the	DET
ap-1420	192	24	hamiltonian	hamiltonian	NOUN
ap-1420	193	1	[	[	X
ap-1420	193	2	7	7	NUM
ap-1420	193	3	]	]	PUNCT
ap-1420	193	4	and/or	and/or	CCONJ
ap-1420	193	5	to	to	ADP
ap-1420	193	6	the	the	DET
ap-1420	193	7	introduction	introduction	NOUN
ap-1420	193	8	of	of	ADP
ap-1420	193	9	more	more	ADV
ap-1420	193	10	observable	observable	ADJ
ap-1420	193	11	quantities	quantity	NOUN
ap-1420	193	12	within	within	ADP
ap-1420	193	13	a	a	DET
ap-1420	193	14	given	give	VERB
ap-1420	193	15	phenomenological	phenomenological	ADJ
ap-1420	193	16	quantum	quantum	ADJ
ap-1420	193	17	model	model	NOUN
ap-1420	193	18	[	[	X
ap-1420	193	19	13	13	NUM
ap-1420	193	20	]	]	PUNCT
ap-1420	193	21	.	.	PUNCT
ap-1420	194	1	in	in	ADP
ap-1420	194	2	a	a	DET
ap-1420	194	3	constructive	constructive	ADJ
ap-1420	194	4	,	,	PUNCT
ap-1420	194	5	more	more	ADV
ap-1420	194	6	pragmatic	pragmatic	ADJ
ap-1420	194	7	setting	setting	NOUN
ap-1420	194	8	as	as	SCONJ
ap-1420	194	9	sampled	sample	VERB
ap-1420	194	10	by	by	ADP
ap-1420	194	11	our	our	PRON
ap-1420	194	12	recent	recent	ADJ
ap-1420	194	13	paper	paper	NOUN
ap-1420	194	14	[	[	X
ap-1420	194	15	6	6	NUM
ap-1420	194	16	]	]	PUNCT
ap-1420	194	17	,	,	PUNCT
ap-1420	194	18	we	we	PRON
ap-1420	194	19	restricted	restrict	VERB
ap-1420	194	20	our	our	PRON
ap-1420	194	21	attention	attention	NOUN
ap-1420	194	22	to	to	ADP
ap-1420	194	23	the	the	DET
ap-1420	194	24	topological	topological	ADJ
ap-1420	194	25	problem	problem	NOUN
ap-1420	194	26	of	of	ADP
ap-1420	194	27	horizons	horizon	NOUN
ap-1420	194	28	.	.	PUNCT
ap-1420	195	1	the	the	DET
ap-1420	195	2	most	most	ADV
ap-1420	195	3	obvious	obvious	ADJ
ap-1420	195	4	motivation	motivation	NOUN
ap-1420	195	5	for	for	ADP
ap-1420	195	6	such	such	DET
ap-1420	195	7	an	an	DET
ap-1420	195	8	effort	effort	NOUN
ap-1420	195	9	has	have	AUX
ap-1420	195	10	been	be	AUX
ap-1420	195	11	given	give	VERB
ap-1420	195	12	by	by	ADP
ap-1420	195	13	the	the	DET
ap-1420	195	14	fact	fact	NOUN
ap-1420	195	15	that	that	SCONJ
ap-1420	195	16	the	the	DET
ap-1420	195	17	disconnectedness	disconnectedness	NOUN
ap-1420	195	18	of	of	ADP
ap-1420	195	19	domain	domain	NOUN
ap-1420	195	20	d(h	d(h	PROPN
ap-1420	195	21	)	)	PUNCT
ap-1420	195	22	immediately	immediately	ADV
ap-1420	195	23	requires	require	VERB
ap-1420	195	24	the	the	DET
ap-1420	195	25	transition	transition	NOUN
ap-1420	195	26	from	from	ADP
ap-1420	195	27	its	its	PRON
ap-1420	195	28	traditional	traditional	ADJ
ap-1420	195	29	perturbation	perturbation	NOUN
ap-1420	195	30	-	-	PUNCT
ap-1420	195	31	theory	theory	NOUN
ap-1420	195	32	descriptions	description	NOUN
ap-1420	195	33	(	(	PUNCT
ap-1420	195	34	with	with	ADP
ap-1420	195	35	a	a	DET
ap-1420	195	36	recommended	recommend	VERB
ap-1420	195	37	recent	recent	ADJ
ap-1420	195	38	compact	compact	ADJ
ap-1420	195	39	sample	sample	NOUN
ap-1420	195	40	given	give	VERB
ap-1420	195	41	in	in	ADP
ap-1420	195	42	[	[	X
ap-1420	195	43	14	14	NUM
ap-1420	195	44	]	]	PUNCT
ap-1420	195	45	)	)	PUNCT
ap-1420	195	46	to	to	ADP
ap-1420	195	47	non	non	ADJ
ap-1420	195	48	-	-	ADJ
ap-1420	195	49	perturbative	perturbative	ADJ
ap-1420	195	50	methods	method	NOUN
ap-1420	195	51	,	,	PUNCT
ap-1420	195	52	or	or	CCONJ
ap-1420	195	53	to	to	ADP
ap-1420	195	54	strong	strong	ADJ
ap-1420	195	55	-	-	PUNCT
ap-1420	195	56	coupling	couple	VERB
ap-1420	195	57	perturbation	perturbation	NOUN
ap-1420	195	58	techniques	technique	NOUN
ap-1420	195	59	[	[	X
ap-1420	195	60	15	15	NUM
ap-1420	195	61	]	]	PUNCT
ap-1420	195	62	.	.	PUNCT
ap-1420	196	1	in	in	ADP
ap-1420	196	2	ref	ref	NOUN
ap-1420	196	3	.	.	PUNCT
ap-1420	197	1	[	[	X
ap-1420	197	2	6	6	NUM
ap-1420	197	3	]	]	PUNCT
ap-1420	197	4	the	the	DET
ap-1420	197	5	parallel	parallel	ADJ
ap-1420	197	6	and	and	CCONJ
ap-1420	197	7	less	less	ADV
ap-1420	197	8	formal	formal	ADJ
ap-1420	197	9	motivation	motivation	NOUN
ap-1420	197	10	has	have	AUX
ap-1420	197	11	been	be	AUX
ap-1420	197	12	emphasized	emphasize	VERB
ap-1420	197	13	to	to	PART
ap-1420	197	14	lie	lie	VERB
ap-1420	197	15	in	in	ADP
ap-1420	197	16	a	a	DET
ap-1420	197	17	systematic	systematic	ADJ
ap-1420	197	18	search	search	NOUN
ap-1420	197	19	for	for	ADP
ap-1420	197	20	the	the	DET
ap-1420	197	21	possible	possible	ADJ
ap-1420	197	22	physical	physical	ADJ
ap-1420	197	23	origin	origin	NOUN
ap-1420	197	24	of	of	ADP
ap-1420	197	25	the	the	DET
ap-1420	197	26	dynamical	dynamical	ADJ
ap-1420	197	27	anomalies	anomaly	NOUN
ap-1420	197	28	in	in	ADP
ap-1420	197	29	a	a	DET
ap-1420	197	30	kinematical	kinematical	ADJ
ap-1420	197	31	nontriviality	nontriviality	NOUN
ap-1420	197	32	of	of	ADP
ap-1420	197	33	the	the	DET
ap-1420	197	34	topology	topology	NOUN
ap-1420	197	35	of	of	ADP
ap-1420	197	36	phase	phase	NOUN
ap-1420	197	37	space	space	NOUN
ap-1420	197	38	.	.	PUNCT
ap-1420	198	1	the	the	DET
ap-1420	198	2	conclusions	conclusion	NOUN
ap-1420	198	3	of	of	ADP
ap-1420	198	4	our	our	PRON
ap-1420	198	5	present	present	ADJ
ap-1420	198	6	paper	paper	NOUN
ap-1420	198	7	are	be	AUX
ap-1420	198	8	encouraging	encouraging	ADJ
ap-1420	198	9	.	.	PUNCT
ap-1420	199	1	firstly	firstly	ADV
ap-1420	199	2	we	we	PRON
ap-1420	199	3	have	have	AUX
ap-1420	199	4	demonstrated	demonstrate	VERB
ap-1420	199	5	that	that	SCONJ
ap-1420	199	6	for	for	ADP
ap-1420	199	7	many	many	ADJ
ap-1420	199	8	purposes	purpose	NOUN
ap-1420	199	9	it	it	PRON
ap-1420	199	10	may	may	AUX
ap-1420	199	11	be	be	AUX
ap-1420	199	12	sufficient	sufficient	ADJ
ap-1420	199	13	to	to	PART
ap-1420	199	14	use	use	VERB
ap-1420	199	15	the	the	DET
ap-1420	199	16	matrices	matrix	NOUN
ap-1420	199	17	with	with	ADP
ap-1420	199	18	a	a	DET
ap-1420	199	19	not	not	PART
ap-1420	199	20	too	too	ADV
ap-1420	199	21	large	large	ADJ
ap-1420	199	22	n	n	NOUN
ap-1420	199	23	.	.	PUNCT
ap-1420	200	1	secondly	secondly	ADV
ap-1420	200	2	,	,	PUNCT
ap-1420	200	3	we	we	PRON
ap-1420	200	4	have	have	AUX
ap-1420	200	5	shown	show	VERB
ap-1420	200	6	an	an	DET
ap-1420	200	7	increase	increase	NOUN
ap-1420	200	8	in	in	ADP
ap-1420	200	9	the	the	DET
ap-1420	200	10	feasibility	feasibility	NOUN
ap-1420	200	11	describing	describing	NOUN
ap-1420	200	12	models	model	NOUN
ap-1420	200	13	h	h	NOUN
ap-1420	200	14	with	with	ADP
ap-1420	200	15	additional	additional	ADJ
ap-1420	200	16	symmetries	symmetry	NOUN
ap-1420	200	17	.	.	PUNCT
ap-1420	201	1	at	at	ADP
ap-1420	201	2	the	the	DET
ap-1420	201	3	first	first	ADJ
ap-1420	201	4	nontrivial	nontrivial	ADJ
ap-1420	201	5	hilbertspace	hilbertspace	NOUN
ap-1420	201	6	dimension	dimension	NOUN
ap-1420	201	7	n	n	NOUN
ap-1420	201	8	=	=	SYM
ap-1420	201	9	4	4	NUM
ap-1420	201	10	we	we	PRON
ap-1420	201	11	encountered	encounter	VERB
ap-1420	201	12	,	,	PUNCT
ap-1420	201	13	for	for	ADP
ap-1420	201	14	example	example	NOUN
ap-1420	201	15	,	,	PUNCT
ap-1420	201	16	the	the	DET
ap-1420	201	17	decrease	decrease	NOUN
ap-1420	201	18	of	of	ADP
ap-1420	201	19	the	the	DET
ap-1420	201	20	minimal	minimal	ADJ
ap-1420	201	21	necessary	necessary	ADJ
ap-1420	201	22	number	number	NOUN
ap-1420	201	23	of	of	ADP
ap-1420	201	24	parameters	parameter	NOUN
ap-1420	201	25	to	to	ADP
ap-1420	201	26	d	d	PROPN
ap-1420	201	27	=	=	SYM
ap-1420	201	28	3	3	NUM
ap-1420	201	29	or	or	CCONJ
ap-1420	201	30	even	even	ADV
ap-1420	201	31	to	to	ADP
ap-1420	201	32	d	d	NOUN
ap-1420	201	33	=	=	SYM
ap-1420	201	34	2	2	NUM
ap-1420	201	35	.	.	PUNCT
ap-1420	202	1	thirdly	thirdly	ADV
ap-1420	202	2	,	,	PUNCT
ap-1420	202	3	we	we	PRON
ap-1420	202	4	clarified	clarify	VERB
ap-1420	202	5	that	that	SCONJ
ap-1420	202	6	once	once	SCONJ
ap-1420	202	7	we	we	PRON
ap-1420	202	8	work	work	VERB
ap-1420	202	9	with	with	ADP
ap-1420	202	10	a	a	DET
ap-1420	202	11	tridiagonal	tridiagonal	ADJ
ap-1420	202	12	n	n	NOUN
ap-1420	202	13	by	by	ADP
ap-1420	202	14	n	n	CCONJ
ap-1420	202	15	hamiltonian	hamiltonian	ADJ
ap-1420	202	16	h	h	NOUN
ap-1420	202	17	(	(	PUNCT
ap-1420	202	18	n	n	CCONJ
ap-1420	202	19	)	)	PUNCT
ap-1420	202	20	0	0	NUM
ap-1420	202	21	complemented	complement	VERB
ap-1420	202	22	by	by	ADP
ap-1420	202	23	a	a	DET
ap-1420	202	24	computationally	computationally	ADV
ap-1420	202	25	suitable	suitable	ADJ
ap-1420	202	26	specific	specific	ADJ
ap-1420	202	27	perturbation	perturbation	NOUN
ap-1420	202	28	,	,	PUNCT
ap-1420	202	29	the	the	DET
ap-1420	202	30	existence	existence	NOUN
ap-1420	202	31	of	of	ADP
ap-1420	202	32	the	the	DET
ap-1420	202	33	disconnected	disconnected	ADJ
ap-1420	202	34	subdomains	subdomain	NOUN
ap-1420	202	35	in	in	ADP
ap-1420	202	36	d(h	d(h	PROPN
ap-1420	202	37	)	)	PUNCT
ap-1420	202	38	opens	open	VERB
ap-1420	202	39	direct	direct	ADJ
ap-1420	202	40	access	access	NOUN
ap-1420	202	41	to	to	ADP
ap-1420	202	42	the	the	DET
ap-1420	202	43	strong	strong	ADJ
ap-1420	202	44	-	-	PUNCT
ap-1420	202	45	coupling	couple	VERB
ap-1420	202	46	dynamical	dynamical	ADJ
ap-1420	202	47	regime	regime	NOUN
ap-1420	202	48	.	.	PUNCT
ap-1420	203	1	fourthly	fourthly	ADV
ap-1420	203	2	,	,	PUNCT
ap-1420	203	3	on	on	ADP
ap-1420	203	4	the	the	DET
ap-1420	203	5	mathematical	mathematical	ADJ
ap-1420	203	6	side	side	NOUN
ap-1420	203	7	,	,	PUNCT
ap-1420	203	8	we	we	PRON
ap-1420	203	9	are	be	AUX
ap-1420	203	10	now	now	ADV
ap-1420	203	11	able	able	ADJ
ap-1420	203	12	to	to	PART
ap-1420	203	13	recommend	recommend	VERB
ap-1420	203	14	the	the	DET
ap-1420	203	15	use	use	NOUN
ap-1420	203	16	of	of	ADP
ap-1420	203	17	auxiliary	auxiliary	ADJ
ap-1420	203	18	symmetries	symmetry	NOUN
ap-1420	203	19	in	in	ADP
ap-1420	203	20	the	the	DET
ap-1420	203	21	hamiltonians	hamiltonian	NOUN
ap-1420	203	22	(	(	PUNCT
ap-1420	203	23	e.g.	e.g.	ADV
ap-1420	203	24	,	,	PUNCT
ap-1420	203	25	of	of	ADP
ap-1420	203	26	the	the	DET
ap-1420	203	27	ones	one	NOUN
ap-1420	203	28	of	of	ADP
ap-1420	203	29	ref	ref	NOUN
ap-1420	203	30	.	.	PUNCT
ap-1420	204	1	[	[	X
ap-1420	204	2	16	16	NUM
ap-1420	204	3	]	]	PUNCT
ap-1420	204	4	)	)	PUNCT
ap-1420	204	5	.	.	PUNCT
ap-1420	205	1	in	in	ADP
ap-1420	205	2	such	such	ADJ
ap-1420	205	3	cases	case	NOUN
ap-1420	205	4	,	,	PUNCT
ap-1420	205	5	the	the	DET
ap-1420	205	6	algebraic	algebraic	ADJ
ap-1420	205	7	secular	secular	ADJ
ap-1420	205	8	equations	equation	NOUN
ap-1420	205	9	pertaining	pertain	VERB
ap-1420	205	10	to	to	ADP
ap-1420	205	11	the	the	DET
ap-1420	205	12	model	model	NOUN
ap-1420	205	13	often	often	ADV
ap-1420	205	14	happen	happen	VERB
ap-1420	205	15	to	to	PART
ap-1420	205	16	factorize	factorize	VERB
ap-1420	205	17	,	,	PUNCT
ap-1420	205	18	leading	lead	VERB
ap-1420	205	19	to	to	ADP
ap-1420	205	20	polynomial	polynomial	ADJ
ap-1420	205	21	equations	equation	NOUN
ap-1420	205	22	of	of	ADP
ap-1420	205	23	perceivably	perceivably	ADV
ap-1420	205	24	lower	low	ADJ
ap-1420	205	25	orders	order	NOUN
ap-1420	205	26	.	.	PUNCT
ap-1420	206	1	the	the	DET
ap-1420	206	2	latter	latter	ADJ
ap-1420	206	3	fact	fact	NOUN
ap-1420	206	4	rendered	render	VERB
ap-1420	206	5	our	our	PRON
ap-1420	206	6	toy	toy	NOUN
ap-1420	206	7	model	model	NOUN
ap-1420	206	8	easily	easily	ADV
ap-1420	206	9	solvable	solvable	ADJ
ap-1420	206	10	.	.	PUNCT
ap-1420	207	1	last	last	ADJ
ap-1420	207	2	but	but	CCONJ
ap-1420	207	3	not	not	PART
ap-1420	207	4	least	least	ADJ
ap-1420	207	5	,	,	PUNCT
ap-1420	207	6	it	it	PRON
ap-1420	207	7	seems	seem	VERB
ap-1420	207	8	worth	worth	ADJ
ap-1420	207	9	emphasizing	emphasize	VERB
ap-1420	207	10	that	that	SCONJ
ap-1420	207	11	on	on	ADP
ap-1420	207	12	the	the	DET
ap-1420	207	13	background	background	NOUN
ap-1420	207	14	given	give	VERB
ap-1420	207	15	by	by	ADP
ap-1420	207	16	refs	ref	NOUN
ap-1420	207	17	.	.	PUNCT
ap-1420	208	1	[	[	X
ap-1420	208	2	6	6	NUM
ap-1420	208	3	,	,	PUNCT
ap-1420	208	4	17	17	NUM
ap-1420	208	5	]	]	PUNCT
ap-1420	208	6	it	it	PRON
ap-1420	208	7	took	take	VERB
ap-1420	208	8	some	some	DET
ap-1420	208	9	time	time	NOUN
ap-1420	208	10	for	for	SCONJ
ap-1420	208	11	us	we	PRON
ap-1420	208	12	to	to	PART
ap-1420	208	13	imagine	imagine	VERB
ap-1420	208	14	that	that	SCONJ
ap-1420	208	15	the	the	DET
ap-1420	208	16	anomalies	anomaly	NOUN
ap-1420	208	17	of	of	ADP
ap-1420	208	18	spectra	spectra	NOUN
ap-1420	208	19	could	could	AUX
ap-1420	208	20	also	also	ADV
ap-1420	208	21	be	be	AUX
ap-1420	208	22	sought	seek	VERB
ap-1420	208	23	at	at	ADP
ap-1420	208	24	dimensions	dimension	NOUN
ap-1420	208	25	as	as	ADV
ap-1420	208	26	small	small	ADJ
ap-1420	208	27	as	as	ADP
ap-1420	208	28	n	n	NOUN
ap-1420	208	29	=	=	SYM
ap-1420	208	30	4	4	X
ap-1420	208	31	.	.	PUNCT
ap-1420	209	1	in	in	ADP
ap-1420	209	2	this	this	DET
ap-1420	209	3	sense	sense	NOUN
ap-1420	209	4	the	the	DET
ap-1420	209	5	message	message	NOUN
ap-1420	209	6	of	of	ADP
ap-1420	209	7	our	our	PRON
ap-1420	209	8	present	present	ADJ
ap-1420	209	9	study	study	NOUN
ap-1420	209	10	is	be	AUX
ap-1420	209	11	encouraging	encouraging	ADJ
ap-1420	209	12	.	.	PUNCT
ap-1420	210	1	several	several	ADJ
ap-1420	210	2	specific	specific	ADJ
ap-1420	210	3	spectral	spectral	ADJ
ap-1420	210	4	irregularities	irregularity	NOUN
ap-1420	210	5	as	as	SCONJ
ap-1420	210	6	observed	observe	VERB
ap-1420	210	7	at	at	ADP
ap-1420	210	8	n	n	NOUN
ap-1420	210	9	=	=	SYM
ap-1420	210	10	8	8	NUM
ap-1420	210	11	in	in	ADP
ap-1420	210	12	ref	ref	NOUN
ap-1420	210	13	.	.	PUNCT
ap-1420	211	1	[	[	X
ap-1420	211	2	6	6	NUM
ap-1420	211	3	]	]	PUNCT
ap-1420	211	4	were	be	AUX
ap-1420	211	5	found	find	VERB
ap-1420	211	6	also	also	ADV
ap-1420	211	7	for	for	ADP
ap-1420	211	8	matrices	matrix	NOUN
ap-1420	211	9	with	with	ADP
ap-1420	211	10	the	the	DET
ap-1420	211	11	dimension	dimension	NOUN
ap-1420	211	12	as	as	ADV
ap-1420	211	13	low	low	ADJ
ap-1420	211	14	as	as	ADP
ap-1420	211	15	n	n	NOUN
ap-1420	211	16	=	=	SYM
ap-1420	211	17	4	4	X
ap-1420	211	18	.	.	PUNCT
ap-1420	212	1	our	our	PRON
ap-1420	212	2	model	model	NOUN
ap-1420	212	3	reconfirmed	reconfirm	VERB
ap-1420	212	4	the	the	DET
ap-1420	212	5	hypothesis	hypothesis	NOUN
ap-1420	212	6	of	of	ADP
ap-1420	212	7	a	a	DET
ap-1420	212	8	very	very	ADV
ap-1420	212	9	close	close	ADJ
ap-1420	212	10	,	,	PUNCT
ap-1420	212	11	topology	topology	NOUN
ap-1420	212	12	-	-	PUNCT
ap-1420	212	13	related	relate	VERB
ap-1420	212	14	connection	connection	NOUN
ap-1420	212	15	between	between	ADP
ap-1420	212	16	the	the	DET
ap-1420	212	17	loop	loop	NOUN
ap-1420	212	18	-	-	PUNCT
ap-1420	212	19	shaping	shaping	NOUN
ap-1420	212	20	of	of	ADP
ap-1420	212	21	the	the	DET
ap-1420	212	22	lattices	lattice	NOUN
ap-1420	212	23	(	(	PUNCT
ap-1420	212	24	i.e.	i.e.	X
ap-1420	212	25	,	,	PUNCT
ap-1420	212	26	presumably	presumably	ADV
ap-1420	212	27	,	,	PUNCT
ap-1420	212	28	betti	betti	ADJ
ap-1420	212	29	numbers	number	NOUN
ap-1420	212	30	in	in	ADP
ap-1420	212	31	continuous	continuous	ADJ
ap-1420	212	32	limit	limit	NOUN
ap-1420	212	33	)	)	PUNCT
ap-1420	212	34	and	and	CCONJ
ap-1420	212	35	the	the	DET
ap-1420	212	36	existence	existence	NOUN
ap-1420	212	37	of	of	ADP
ap-1420	212	38	strong	strong	ADJ
ap-1420	212	39	-	-	PUNCT
ap-1420	212	40	coupling	couple	VERB
ap-1420	212	41	dynamical	dynamical	ADJ
ap-1420	212	42	anomalies	anomaly	NOUN
ap-1420	212	43	in	in	ADP
ap-1420	212	44	the	the	DET
ap-1420	212	45	spectra	spectra	NOUN
ap-1420	212	46	of	of	ADP
ap-1420	212	47	the	the	DET
ap-1420	212	48	energy	energy	NOUN
ap-1420	212	49	levels	level	NOUN
ap-1420	212	50	.	.	PUNCT
ap-1420	213	1	110	110	NUM
ap-1420	213	2	acta	acta	PROPN
ap-1420	213	3	polytechnica	polytechnica	PROPN
ap-1420	213	4	vol	vol	NOUN
ap-1420	213	5	.	.	PUNCT
ap-1420	214	1	51	51	NUM
ap-1420	214	2	no	no	INTJ
ap-1420	214	3	.	.	PUNCT
ap-1420	215	1	4/2011	4/2011	NUM
ap-1420	215	2	appendix	appendix	NOUN
ap-1420	215	3	a.	a.	NOUN
ap-1420	215	4	the	the	DET
ap-1420	215	5	three	three	NUM
ap-1420	215	6	-	-	PUNCT
ap-1420	215	7	hilbert	hilbert	NOUN
ap-1420	215	8	-	-	PUNCT
ap-1420	215	9	space	space	NOUN
ap-1420	215	10	formulation	formulation	NOUN
ap-1420	215	11	of	of	ADP
ap-1420	215	12	quantum	quantum	ADJ
ap-1420	215	13	mechanics	mechanic	NOUN
ap-1420	215	14	in	in	ADP
ap-1420	215	15	section	section	NOUN
ap-1420	215	16	2	2	NUM
ap-1420	215	17	of	of	ADP
ap-1420	215	18	ref	ref	NOUN
ap-1420	215	19	.	.	PUNCT
ap-1420	216	1	[	[	X
ap-1420	216	2	5	5	NUM
ap-1420	216	3	]	]	PUNCT
ap-1420	216	4	,	,	PUNCT
ap-1420	216	5	one	one	NUM
ap-1420	216	6	of	of	ADP
ap-1420	216	7	the	the	DET
ap-1420	216	8	most	most	ADV
ap-1420	216	9	compact	compact	ADJ
ap-1420	216	10	introductions	introduction	NOUN
ap-1420	216	11	to	to	ADP
ap-1420	216	12	the	the	DET
ap-1420	216	13	abstract	abstract	ADJ
ap-1420	216	14	formalism	formalism	NOUN
ap-1420	216	15	of	of	ADP
ap-1420	216	16	pt	pt	X
ap-1420	216	17	-symmetric	-symmetric	ADJ
ap-1420	216	18	quantum	quantum	NOUN
ap-1420	216	19	mechanics	mechanic	NOUN
ap-1420	216	20	(	(	PUNCT
ap-1420	216	21	ptsqm	ptsqm	NOUN
ap-1420	216	22	)	)	PUNCT
ap-1420	216	23	is	be	AUX
ap-1420	216	24	given	give	VERB
ap-1420	216	25	.	.	PUNCT
ap-1420	217	1	thus	thus	ADV
ap-1420	217	2	,	,	PUNCT
ap-1420	217	3	we	we	PRON
ap-1420	217	4	may	may	AUX
ap-1420	217	5	shorten	shorten	VERB
ap-1420	217	6	the	the	DET
ap-1420	217	7	introductory	introductory	ADJ
ap-1420	217	8	discussion	discussion	NOUN
ap-1420	217	9	and	and	CCONJ
ap-1420	217	10	restrict	restrict	VERB
ap-1420	217	11	ourselves	ourselves	PRON
ap-1420	217	12	to	to	ADP
ap-1420	217	13	a	a	DET
ap-1420	217	14	few	few	ADJ
ap-1420	217	15	key	key	ADJ
ap-1420	217	16	comments	comment	NOUN
ap-1420	217	17	on	on	ADP
ap-1420	217	18	the	the	DET
ap-1420	217	19	general	general	ADJ
ap-1420	217	20	theoretical	theoretical	ADJ
ap-1420	217	21	framework	framework	NOUN
ap-1420	217	22	.	.	PUNCT
ap-1420	218	1	in	in	ADP
ap-1420	218	2	such	such	DET
ap-1420	218	3	a	a	DET
ap-1420	218	4	compression	compression	NOUN
ap-1420	218	5	,	,	PUNCT
ap-1420	218	6	the	the	DET
ap-1420	218	7	ptsqm	ptsqm	NOUN
ap-1420	218	8	formalism	formalism	NOUN
ap-1420	218	9	may	may	AUX
ap-1420	218	10	be	be	AUX
ap-1420	218	11	characterized	characterize	VERB
ap-1420	218	12	as	as	ADP
ap-1420	218	13	such	such	DET
ap-1420	218	14	a	a	DET
ap-1420	218	15	version	version	NOUN
ap-1420	218	16	of	of	ADP
ap-1420	218	17	entirely	entirely	ADV
ap-1420	218	18	standard	standard	ADJ
ap-1420	218	19	quantum	quantum	ADJ
ap-1420	218	20	mechanics	mechanic	NOUN
ap-1420	218	21	in	in	ADP
ap-1420	218	22	which	which	PRON
ap-1420	218	23	,	,	PUNCT
ap-1420	218	24	in	in	ADP
ap-1420	218	25	principle	principle	NOUN
ap-1420	218	26	,	,	PUNCT
ap-1420	218	27	the	the	DET
ap-1420	218	28	system	system	NOUN
ap-1420	218	29	in	in	ADP
ap-1420	218	30	question	question	NOUN
ap-1420	218	31	is	be	AUX
ap-1420	218	32	defined	define	VERB
ap-1420	218	33	in	in	ADP
ap-1420	218	34	a	a	DET
ap-1420	218	35	certain	certain	ADJ
ap-1420	218	36	prohibitively	prohibitively	ADV
ap-1420	218	37	complicated	complicated	ADJ
ap-1420	218	38	physical	physical	ADJ
ap-1420	218	39	hilbert	hilbert	NOUN
ap-1420	218	40	space	space	NOUN
ap-1420	218	41	of	of	ADP
ap-1420	218	42	states	state	NOUN
ap-1420	218	43	h(p	h(p	PROPN
ap-1420	218	44	)	)	PUNCT
ap-1420	218	45	,	,	PUNCT
ap-1420	218	46	where	where	SCONJ
ap-1420	218	47	the	the	DET
ap-1420	218	48	superscript	superscript	NOUN
ap-1420	218	49	may	may	AUX
ap-1420	218	50	be	be	AUX
ap-1420	218	51	read	read	VERB
ap-1420	218	52	as	as	ADP
ap-1420	218	53	abbreviating	abbreviate	VERB
ap-1420	218	54	“	"	PUNCT
ap-1420	218	55	prohibited	prohibit	VERB
ap-1420	218	56	”	"	PUNCT
ap-1420	218	57	as	as	ADV
ap-1420	218	58	well	well	ADV
ap-1420	218	59	as	as	ADP
ap-1420	218	60	“	"	PUNCT
ap-1420	218	61	physical	physical	ADJ
ap-1420	218	62	”	"	PUNCT
ap-1420	218	63	[	[	X
ap-1420	218	64	3	3	NUM
ap-1420	218	65	]	]	PUNCT
ap-1420	218	66	.	.	PUNCT
ap-1420	219	1	typical	typical	ADJ
ap-1420	219	2	illustrative	illustrative	ADJ
ap-1420	219	3	realistic	realistic	ADJ
ap-1420	219	4	examples	example	NOUN
ap-1420	219	5	may	may	AUX
ap-1420	219	6	be	be	AUX
ap-1420	219	7	sought	seek	VERB
ap-1420	219	8	in	in	ADP
ap-1420	219	9	the	the	DET
ap-1420	219	10	physics	physics	NOUN
ap-1420	219	11	of	of	ADP
ap-1420	219	12	heavy	heavy	ADJ
ap-1420	219	13	nuclei	nucleus	NOUN
ap-1420	219	14	,	,	PUNCT
ap-1420	219	15	where	where	SCONJ
ap-1420	219	16	the	the	DET
ap-1420	219	17	corresponding	corresponding	ADJ
ap-1420	219	18	fermionic	fermionic	NOUN
ap-1420	219	19	states	state	NOUN
ap-1420	219	20	are	be	AUX
ap-1420	219	21	truly	truly	ADV
ap-1420	219	22	extremely	extremely	ADV
ap-1420	219	23	complicated	complicated	ADJ
ap-1420	219	24	.	.	PUNCT
ap-1420	220	1	in	in	ADP
ap-1420	220	2	the	the	DET
ap-1420	220	3	latter	latter	ADJ
ap-1420	220	4	exemplification	exemplification	NOUN
ap-1420	220	5	the	the	DET
ap-1420	220	6	first	first	ADJ
ap-1420	220	7	half	half	NOUN
ap-1420	220	8	of	of	ADP
ap-1420	220	9	the	the	DET
ap-1420	220	10	ptsqm	ptsqm	NOUN
ap-1420	220	11	recipe	recipe	NOUN
ap-1420	220	12	lies	lie	VERB
ap-1420	220	13	in	in	ADP
ap-1420	220	14	the	the	DET
ap-1420	220	15	transition	transition	NOUN
ap-1420	220	16	to	to	ADP
ap-1420	220	17	a	a	DET
ap-1420	220	18	suitable	suitable	ADJ
ap-1420	220	19	,	,	PUNCT
ap-1420	220	20	unitary	unitary	ADJ
ap-1420	220	21	equivalent	equivalent	ADJ
ap-1420	220	22	hilbert	hilbert	NOUN
ap-1420	220	23	space	space	NOUN
ap-1420	220	24	,	,	PUNCT
ap-1420	220	25	h(p	h(p	PROPN
ap-1420	220	26	)	)	PUNCT
ap-1420	220	27	→	→	SYM
ap-1420	220	28	h(s	h(s	PROPN
ap-1420	220	29	)	)	PUNCT
ap-1420	220	30	,	,	PUNCT
ap-1420	220	31	where	where	SCONJ
ap-1420	220	32	the	the	DET
ap-1420	220	33	superscript	superscript	NOUN
ap-1420	220	34	“	"	PUNCT
ap-1420	220	35	(	(	PUNCT
ap-1420	220	36	s	s	NOUN
ap-1420	220	37	)	)	PUNCT
ap-1420	220	38	”	"	PUNCT
ap-1420	220	39	may	may	AUX
ap-1420	220	40	stand	stand	VERB
ap-1420	220	41	for	for	ADP
ap-1420	220	42	“	"	PUNCT
ap-1420	220	43	suitable	suitable	ADJ
ap-1420	220	44	”	"	PUNCT
ap-1420	220	45	or	or	CCONJ
ap-1420	220	46	“	"	PUNCT
ap-1420	220	47	simpler	simple	ADJ
ap-1420	220	48	”	"	PUNCT
ap-1420	220	49	[	[	X
ap-1420	220	50	3	3	NUM
ap-1420	220	51	]	]	PUNCT
ap-1420	220	52	.	.	PUNCT
ap-1420	221	1	in	in	ADP
ap-1420	221	2	the	the	DET
ap-1420	221	3	above	above	ADV
ap-1420	221	4	-	-	PUNCT
ap-1420	221	5	mentioned	mention	VERB
ap-1420	221	6	realistic	realistic	ADJ
ap-1420	221	7	-	-	PUNCT
ap-1420	221	8	system	system	NOUN
ap-1420	221	9	illustration	illustration	NOUN
ap-1420	221	10	,	,	PUNCT
ap-1420	221	11	for	for	ADP
ap-1420	221	12	example	example	NOUN
ap-1420	221	13	,	,	PUNCT
ap-1420	221	14	the	the	DET
ap-1420	221	15	new	new	ADJ
ap-1420	221	16	space	space	NOUN
ap-1420	221	17	h(s	h(s	PROPN
ap-1420	221	18	)	)	PUNCT
ap-1420	221	19	coincided	coincide	VERB
ap-1420	221	20	with	with	ADP
ap-1420	221	21	a	a	DET
ap-1420	221	22	suitable	suitable	ADJ
ap-1420	221	23	“	"	PUNCT
ap-1420	221	24	interacting	interact	VERB
ap-1420	221	25	boson	boson	NOUN
ap-1420	221	26	model	model	NOUN
ap-1420	221	27	”	"	PUNCT
ap-1420	221	28	(	(	PUNCT
ap-1420	221	29	ibm	ibm	PROPN
ap-1420	221	30	)	)	PUNCT
ap-1420	221	31	.	.	PUNCT
ap-1420	222	1	in	in	ADP
ap-1420	222	2	the	the	DET
ap-1420	222	3	warmly	warmly	ADV
ap-1420	222	4	recommended	recommend	VERB
ap-1420	222	5	review	review	NOUN
ap-1420	222	6	paper	paper	NOUN
ap-1420	222	7	of	of	ADP
ap-1420	222	8	this	this	DET
ap-1420	222	9	field	field	NOUN
ap-1420	222	10	[	[	X
ap-1420	222	11	18	18	NUM
ap-1420	222	12	]	]	X
ap-1420	222	13	it	it	PRON
ap-1420	222	14	has	have	AUX
ap-1420	222	15	been	be	AUX
ap-1420	222	16	emphasized	emphasize	VERB
ap-1420	222	17	that	that	SCONJ
ap-1420	222	18	the	the	DET
ap-1420	222	19	requirement	requirement	NOUN
ap-1420	222	20	of	of	ADP
ap-1420	222	21	unitary	unitary	ADJ
ap-1420	222	22	equivalence	equivalence	NOUN
ap-1420	222	23	between	between	ADP
ap-1420	222	24	the	the	DET
ap-1420	222	25	two	two	NUM
ap-1420	222	26	hilbert	hilbert	NOUN
ap-1420	222	27	spaces	space	NOUN
ap-1420	222	28	h(p	h(p	PROPN
ap-1420	222	29	)	)	PUNCT
ap-1420	222	30	and	and	CCONJ
ap-1420	222	31	h(s	h(	NOUN
ap-1420	222	32	)	)	PUNCT
ap-1420	222	33	may	may	AUX
ap-1420	222	34	only	only	ADV
ap-1420	222	35	be	be	AUX
ap-1420	222	36	achieved	achieve	VERB
ap-1420	222	37	in	in	ADP
ap-1420	222	38	two	two	NUM
ap-1420	222	39	ways	way	NOUN
ap-1420	222	40	.	.	PUNCT
ap-1420	223	1	either	either	CCONJ
ap-1420	223	2	the	the	DET
ap-1420	223	3	corresponding	correspond	VERB
ap-1420	223	4	boson	boson	NOUN
ap-1420	223	5	-	-	PUNCT
ap-1420	223	6	fermion	fermion	NOUN
ap-1420	223	7	-	-	PUNCT
ap-1420	223	8	like	like	ADJ
ap-1420	223	9	mapping	mapping	NOUN
ap-1420	223	10	ω	ω	NOUN
ap-1420	223	11	between	between	ADP
ap-1420	223	12	these	these	DET
ap-1420	223	13	two	two	NUM
ap-1420	223	14	hilbert	hilbert	NOUN
ap-1420	223	15	spaces	space	NOUN
ap-1420	223	16	(	(	PUNCT
ap-1420	223	17	known	know	VERB
ap-1420	223	18	,	,	PUNCT
ap-1420	223	19	in	in	ADP
ap-1420	223	20	this	this	DET
ap-1420	223	21	context	context	NOUN
ap-1420	223	22	,	,	PUNCT
ap-1420	223	23	as	as	SCONJ
ap-1420	223	24	the	the	DET
ap-1420	223	25	dyson	dyson	NOUN
ap-1420	223	26	’s	’s	PART
ap-1420	223	27	mapping	mapping	NOUN
ap-1420	223	28	)	)	PUNCT
ap-1420	223	29	remains	remain	VERB
ap-1420	223	30	unitary	unitary	ADJ
ap-1420	223	31	(	(	PUNCT
ap-1420	223	32	and	and	CCONJ
ap-1420	223	33	the	the	DET
ap-1420	223	34	mathematical	mathematical	ADJ
ap-1420	223	35	simplification	simplification	NOUN
ap-1420	223	36	of	of	ADP
ap-1420	223	37	the	the	DET
ap-1420	223	38	problem	problem	NOUN
ap-1420	223	39	remains	remain	VERB
ap-1420	223	40	inessential	inessential	ADJ
ap-1420	223	41	)	)	PUNCT
ap-1420	223	42	or	or	CCONJ
ap-1420	223	43	is	be	AUX
ap-1420	223	44	admitted	admit	VERB
ap-1420	223	45	to	to	PART
ap-1420	223	46	be	be	AUX
ap-1420	223	47	non	non	ADJ
ap-1420	223	48	-	-	ADJ
ap-1420	223	49	unitary	unitary	ADJ
ap-1420	223	50	(	(	PUNCT
ap-1420	223	51	a	a	DET
ap-1420	223	52	less	less	ADV
ap-1420	223	53	restrictive	restrictive	ADJ
ap-1420	223	54	option	option	NOUN
ap-1420	223	55	which	which	PRON
ap-1420	223	56	may	may	AUX
ap-1420	223	57	enable	enable	VERB
ap-1420	223	58	us	we	PRON
ap-1420	223	59	to	to	PART
ap-1420	223	60	achieve	achieve	VERB
ap-1420	223	61	a	a	DET
ap-1420	223	62	really	really	ADV
ap-1420	223	63	significant	significant	ADJ
ap-1420	223	64	simplification	simplification	NOUN
ap-1420	223	65	,	,	PUNCT
ap-1420	223	66	say	say	INTJ
ap-1420	223	67	,	,	PUNCT
ap-1420	223	68	of	of	ADP
ap-1420	223	69	the	the	DET
ap-1420	223	70	computational	computational	ADJ
ap-1420	223	71	determination	determination	NOUN
ap-1420	223	72	of	of	ADP
ap-1420	223	73	the	the	DET
ap-1420	223	74	spectra	spectra	NOUN
ap-1420	223	75	)	)	PUNCT
ap-1420	223	76	.	.	PUNCT
ap-1420	224	1	what	what	PRON
ap-1420	224	2	remains	remain	VERB
ap-1420	224	3	for	for	SCONJ
ap-1420	224	4	us	we	PRON
ap-1420	224	5	to	to	PART
ap-1420	224	6	perform	perform	VERB
ap-1420	224	7	and	and	CCONJ
ap-1420	224	8	explain	explain	VERB
ap-1420	224	9	now	now	ADV
ap-1420	224	10	is	be	AUX
ap-1420	224	11	the	the	DET
ap-1420	224	12	second	second	ADJ
ap-1420	224	13	half	half	NOUN
ap-1420	224	14	of	of	ADP
ap-1420	224	15	the	the	DET
ap-1420	224	16	general	general	ADJ
ap-1420	224	17	ptsqm	ptsqm	NOUN
ap-1420	224	18	recipe	recipe	NOUN
ap-1420	224	19	.	.	PUNCT
ap-1420	225	1	its	its	PRON
ap-1420	225	2	essence	essence	NOUN
ap-1420	225	3	lies	lie	VERB
ap-1420	225	4	in	in	ADP
ap-1420	225	5	weakening	weaken	VERB
ap-1420	225	6	the	the	DET
ap-1420	225	7	most	most	ADV
ap-1420	225	8	common	common	ADJ
ap-1420	225	9	unitarity	unitarity	NOUN
ap-1420	225	10	requirement	requirement	NOUN
ap-1420	225	11	imposed	impose	VERB
ap-1420	225	12	upon	upon	SCONJ
ap-1420	225	13	the	the	DET
ap-1420	225	14	dyson	dyson	PROPN
ap-1420	225	15	mapping	mapping	NOUN
ap-1420	225	16	,	,	PUNCT
ap-1420	225	17	ω†	ω†	ADV
ap-1420	225	18	=	=	PUNCT
ap-1420	225	19	ω−1	ω−1	NOUN
ap-1420	225	20	to	to	ADP
ap-1420	225	21	the	the	DET
ap-1420	225	22	mere	mere	ADJ
ap-1420	225	23	quasi	quasi	ADJ
ap-1420	225	24	-	-	ADJ
ap-1420	225	25	unitarity	unitarity	ADJ
ap-1420	225	26	requirement	requirement	NOUN
ap-1420	226	1	ω†	ω†	NOUN
ap-1420	226	2	=	=	NUM
ap-1420	226	3	θ	θ	SYM
ap-1420	226	4	ω−1	ω−1	NOUN
ap-1420	226	5	.	.	PUNCT
ap-1420	227	1	the	the	DET
ap-1420	227	2	symbol	symbol	NOUN
ap-1420	227	3	θ	θ	PROPN
ap-1420	227	4	�	�	PROPN
ap-1420	227	5	=	=	PRON
ap-1420	227	6	i	i	PRON
ap-1420	227	7	represents	represent	VERB
ap-1420	227	8	here	here	ADV
ap-1420	227	9	the	the	DET
ap-1420	227	10	so	so	ADV
ap-1420	227	11	-	-	PUNCT
ap-1420	227	12	called	call	VERB
ap-1420	227	13	metric	metric	ADJ
ap-1420	227	14	operator	operator	NOUN
ap-1420	227	15	which	which	PRON
ap-1420	227	16	defines	define	VERB
ap-1420	227	17	the	the	DET
ap-1420	227	18	inner	inner	ADJ
ap-1420	227	19	product	product	NOUN
ap-1420	227	20	in	in	ADP
ap-1420	227	21	hilbert	hilbert	NOUN
ap-1420	227	22	space	space	NOUN
ap-1420	227	23	h(s	h(s	PROPN
ap-1420	227	24	)	)	PUNCT
ap-1420	227	25	.	.	PUNCT
ap-1420	228	1	more	more	ADJ
ap-1420	228	2	details	detail	NOUN
ap-1420	228	3	using	use	VERB
ap-1420	228	4	the	the	DET
ap-1420	228	5	present	present	ADJ
ap-1420	228	6	notation	notation	NOUN
ap-1420	228	7	may	may	AUX
ap-1420	228	8	be	be	AUX
ap-1420	228	9	found	find	VERB
ap-1420	228	10	in	in	ADP
ap-1420	228	11	[	[	X
ap-1420	228	12	3	3	NUM
ap-1420	228	13	]	]	PUNCT
ap-1420	228	14	.	.	PUNCT
ap-1420	229	1	just	just	ADV
ap-1420	229	2	a	a	DET
ap-1420	229	3	few	few	ADJ
ap-1420	229	4	of	of	ADP
ap-1420	229	5	them	they	PRON
ap-1420	229	6	have	have	VERB
ap-1420	229	7	to	to	PART
ap-1420	229	8	be	be	AUX
ap-1420	229	9	recalled	recall	VERB
ap-1420	229	10	here	here	ADV
ap-1420	229	11	.	.	PUNCT
ap-1420	230	1	firstly	firstly	ADV
ap-1420	230	2	,	,	PUNCT
ap-1420	230	3	the	the	DET
ap-1420	230	4	main	main	ADJ
ap-1420	230	5	source	source	NOUN
ap-1420	230	6	of	of	ADP
ap-1420	230	7	the	the	DET
ap-1420	230	8	purely	purely	ADV
ap-1420	230	9	technical	technical	ADJ
ap-1420	230	10	simplifications	simplification	NOUN
ap-1420	230	11	of	of	ADP
ap-1420	230	12	the	the	DET
ap-1420	230	13	efficient	efficient	ADJ
ap-1420	230	14	numerical	numerical	ADJ
ap-1420	230	15	calculations	calculation	NOUN
ap-1420	230	16	(	(	PUNCT
ap-1420	230	17	say	say	INTJ
ap-1420	230	18	,	,	PUNCT
ap-1420	230	19	of	of	ADP
ap-1420	230	20	the	the	DET
ap-1420	230	21	spectra	spectra	NOUN
ap-1420	230	22	of	of	ADP
ap-1420	230	23	energies	energy	NOUN
ap-1420	230	24	)	)	PUNCT
ap-1420	230	25	is	be	AUX
ap-1420	230	26	to	to	PART
ap-1420	230	27	be	be	AUX
ap-1420	230	28	seen	see	VERB
ap-1420	230	29	in	in	ADP
ap-1420	230	30	the	the	DET
ap-1420	230	31	introduction	introduction	NOUN
ap-1420	230	32	of	of	ADP
ap-1420	230	33	the	the	DET
ap-1420	230	34	third	third	ADJ
ap-1420	230	35	,	,	PUNCT
ap-1420	230	36	purely	purely	ADV
ap-1420	230	37	auxiliary	auxiliary	ADJ
ap-1420	230	38	hilbert	hilbert	NOUN
ap-1420	230	39	space	space	PROPN
ap-1420	230	40	h(f	h(f	PROPN
ap-1420	230	41	)	)	PUNCT
ap-1420	230	42	,	,	PUNCT
ap-1420	230	43	where	where	SCONJ
ap-1420	230	44	the	the	DET
ap-1420	230	45	superscript	superscript	NOUN
ap-1420	230	46	“	"	PUNCT
ap-1420	230	47	(	(	PUNCT
ap-1420	230	48	f	f	PROPN
ap-1420	230	49	)	)	PUNCT
ap-1420	230	50	”	"	PUNCT
ap-1420	230	51	combines	combine	VERB
ap-1420	230	52	the	the	DET
ap-1420	230	53	meaning	meaning	NOUN
ap-1420	230	54	of	of	ADP
ap-1420	230	55	“	"	PUNCT
ap-1420	230	56	friendlier	friendly	ADJ
ap-1420	230	57	”	"	PUNCT
ap-1420	230	58	with	with	ADP
ap-1420	230	59	“	"	PUNCT
ap-1420	230	60	falsified	falsified	ADJ
ap-1420	230	61	”	"	PUNCT
ap-1420	230	62	[	[	X
ap-1420	230	63	3	3	NUM
ap-1420	230	64	]	]	PUNCT
ap-1420	230	65	.	.	PUNCT
ap-1420	231	1	by	by	ADP
ap-1420	231	2	definition	definition	NOUN
ap-1420	231	3	,	,	PUNCT
ap-1420	231	4	the	the	DET
ap-1420	231	5	two	two	NUM
ap-1420	231	6	hilbert	hilbert	NOUN
ap-1420	231	7	spaces	space	NOUN
ap-1420	231	8	h(s	h(s	PROPN
ap-1420	231	9	)	)	PUNCT
ap-1420	231	10	and	and	CCONJ
ap-1420	231	11	h(f	h(f	NOUN
ap-1420	231	12	)	)	PUNCT
ap-1420	231	13	coincide	coincide	NOUN
ap-1420	231	14	as	as	ADP
ap-1420	231	15	the	the	DET
ap-1420	231	16	mathematical	mathematical	ADJ
ap-1420	231	17	vector	vector	NOUN
ap-1420	231	18	spaces	space	NOUN
ap-1420	231	19	(	(	PUNCT
ap-1420	231	20	“	"	PUNCT
ap-1420	231	21	of	of	ADP
ap-1420	231	22	ket	ket	NOUN
ap-1420	231	23	vectors	vector	NOUN
ap-1420	231	24	”	"	PUNCT
ap-1420	231	25	in	in	ADP
ap-1420	231	26	the	the	DET
ap-1420	231	27	dirac	dirac	NOUN
ap-1420	231	28	terminology	terminology	NOUN
ap-1420	231	29	)	)	PUNCT
ap-1420	231	30	.	.	PUNCT
ap-1420	232	1	we	we	PRON
ap-1420	232	2	only	only	ADV
ap-1420	232	3	replace	replace	VERB
ap-1420	232	4	the	the	DET
ap-1420	232	5	nontrivial	nontrivial	ADJ
ap-1420	232	6	metric	metric	ADJ
ap-1420	232	7	θ(s	θ(s	PROPN
ap-1420	232	8	)	)	PUNCT
ap-1420	232	9	≡	≡	PROPN
ap-1420	232	10	ω†ω	ω†ω	NUM
ap-1420	232	11	of	of	ADP
ap-1420	232	12	the	the	DET
ap-1420	232	13	former	former	ADJ
ap-1420	232	14	space	space	NOUN
ap-1420	232	15	by	by	ADP
ap-1420	232	16	its	its	PRON
ap-1420	232	17	trivial	trivial	ADJ
ap-1420	232	18	simplification	simplification	NOUN
ap-1420	232	19	θ(f	θ(f	PROPN
ap-1420	232	20	)	)	PUNCT
ap-1420	233	1	≡	≡	PROPN
ap-1420	233	2	i	i	PRON
ap-1420	233	3	in	in	ADP
ap-1420	233	4	the	the	DET
ap-1420	233	5	latter	latter	ADJ
ap-1420	233	6	hilbert	hilbert	NOUN
ap-1420	233	7	space	space	NOUN
ap-1420	233	8	.	.	PUNCT
ap-1420	234	1	as	as	ADP
ap-1420	234	2	an	an	DET
ap-1420	234	3	immediate	immediate	ADJ
ap-1420	234	4	consequence	consequence	NOUN
ap-1420	234	5	,	,	PUNCT
ap-1420	234	6	the	the	DET
ap-1420	234	7	latter	latter	ADJ
ap-1420	234	8	space	space	NOUN
ap-1420	234	9	acquires	acquire	VERB
ap-1420	234	10	the	the	DET
ap-1420	234	11	status	status	NOUN
ap-1420	234	12	of	of	ADP
ap-1420	234	13	an	an	DET
ap-1420	234	14	auxiliary	auxiliary	ADJ
ap-1420	234	15	,	,	PUNCT
ap-1420	234	16	manifestly	manifestly	ADV
ap-1420	234	17	unphysical	unphysical	ADJ
ap-1420	234	18	space	space	NOUN
ap-1420	234	19	which	which	PRON
ap-1420	234	20	does	do	AUX
ap-1420	234	21	not	not	PART
ap-1420	234	22	carry	carry	VERB
ap-1420	234	23	any	any	DET
ap-1420	234	24	immediate	immediate	ADJ
ap-1420	234	25	physical	physical	ADJ
ap-1420	234	26	information	information	NOUN
ap-1420	234	27	or	or	CCONJ
ap-1420	234	28	probabilistic	probabilistic	ADJ
ap-1420	234	29	interpretation	interpretation	NOUN
ap-1420	234	30	of	of	ADP
ap-1420	234	31	its	its	PRON
ap-1420	234	32	trivial	trivial	ADJ
ap-1420	234	33	though	though	ADV
ap-1420	234	34	,	,	PUNCT
ap-1420	234	35	at	at	ADP
ap-1420	234	36	the	the	DET
ap-1420	234	37	same	same	ADJ
ap-1420	234	38	time	time	NOUN
ap-1420	234	39	,	,	PUNCT
ap-1420	234	40	maximally	maximally	ADV
ap-1420	234	41	mathematically	mathematically	ADV
ap-1420	234	42	friendly	friendly	ADJ
ap-1420	234	43	inner	inner	ADJ
ap-1420	234	44	products	product	NOUN
ap-1420	234	45	.	.	PUNCT
ap-1420	235	1	appendix	appendix	NOUN
ap-1420	235	2	b.	b.	AUX
ap-1420	236	1	the	the	DET
ap-1420	236	2	role	role	NOUN
ap-1420	236	3	of	of	ADP
ap-1420	236	4	pt	pt	NOUN
ap-1420	236	5	-symmetry	-symmetry	PROPN
ap-1420	236	6	in	in	ADP
ap-1420	236	7	its	its	PRON
ap-1420	236	8	most	most	ADV
ap-1420	236	9	widely	widely	ADV
ap-1420	236	10	accepted	accept	VERB
ap-1420	236	11	final	final	ADJ
ap-1420	236	12	form	form	NOUN
ap-1420	236	13	,	,	PUNCT
ap-1420	236	14	described	describe	VERB
ap-1420	236	15	in	in	ADP
ap-1420	236	16	ref	ref	NOUN
ap-1420	236	17	.	.	PUNCT
ap-1420	237	1	[	[	X
ap-1420	237	2	1	1	NUM
ap-1420	237	3	]	]	PUNCT
ap-1420	237	4	,	,	PUNCT
ap-1420	237	5	the	the	DET
ap-1420	237	6	ptsqm	ptsqm	NOUN
ap-1420	237	7	recipe	recipe	NOUN
ap-1420	237	8	complements	complement	VERB
ap-1420	237	9	the	the	DET
ap-1420	237	10	latter	latter	ADJ
ap-1420	237	11	general	general	ADJ
ap-1420	237	12	scheme	scheme	NOUN
ap-1420	237	13	by	by	ADP
ap-1420	237	14	another	another	DET
ap-1420	237	15	assumption	assumption	NOUN
ap-1420	237	16	.	.	PUNCT
ap-1420	238	1	it	it	PRON
ap-1420	238	2	may	may	AUX
ap-1420	238	3	be	be	AUX
ap-1420	238	4	given	give	VERB
ap-1420	238	5	the	the	DET
ap-1420	238	6	mathematical	mathematical	ADJ
ap-1420	238	7	form	form	NOUN
ap-1420	238	8	of	of	ADP
ap-1420	238	9	the	the	DET
ap-1420	238	10	introduction	introduction	NOUN
ap-1420	238	11	of	of	ADP
ap-1420	238	12	the	the	DET
ap-1420	238	13	second	second	ADJ
ap-1420	238	14	auxiliary	auxiliary	NOUN
ap-1420	238	15	,	,	PUNCT
ap-1420	238	16	manifestly	manifestly	ADV
ap-1420	238	17	unphysical	unphysical	ADJ
ap-1420	238	18	vector	vector	NOUN
ap-1420	238	19	space	space	NOUN
ap-1420	238	20	k(p	k(p	PROPN
ap-1420	238	21	)	)	PUNCT
ap-1420	238	22	which	which	PRON
ap-1420	238	23	is	be	AUX
ap-1420	238	24	,	,	PUNCT
ap-1420	238	25	by	by	ADP
ap-1420	238	26	definition	definition	NOUN
ap-1420	238	27	,	,	PUNCT
ap-1420	238	28	not	not	PART
ap-1420	238	29	even	even	ADV
ap-1420	238	30	the	the	DET
ap-1420	238	31	hilbert	hilbert	NOUN
ap-1420	238	32	space	space	NOUN
ap-1420	238	33	.	.	PUNCT
ap-1420	239	1	in	in	ADP
ap-1420	239	2	fact	fact	NOUN
ap-1420	239	3	,	,	PUNCT
ap-1420	239	4	this	this	DET
ap-1420	239	5	fourth	fourth	ADJ
ap-1420	239	6	vectors	vector	NOUN
ap-1420	239	7	space	space	NOUN
ap-1420	239	8	is	be	AUX
ap-1420	239	9	assumed	assume	VERB
ap-1420	239	10	endowed	endow	VERB
ap-1420	239	11	with	with	ADP
ap-1420	239	12	the	the	DET
ap-1420	239	13	formal	formal	ADJ
ap-1420	239	14	structure	structure	NOUN
ap-1420	239	15	of	of	ADP
ap-1420	239	16	krein	krein	ADJ
ap-1420	239	17	space	space	NOUN
ap-1420	240	1	[	[	X
ap-1420	240	2	19	19	NUM
ap-1420	240	3	]	]	PUNCT
ap-1420	240	4	.	.	PUNCT
ap-1420	241	1	ref	ref	NOUN
ap-1420	241	2	.	.	PUNCT
ap-1420	242	1	[	[	X
ap-1420	242	2	14	14	NUM
ap-1420	242	3	]	]	X
ap-1420	242	4	may	may	AUX
ap-1420	242	5	be	be	AUX
ap-1420	242	6	consulted	consult	VERB
ap-1420	242	7	for	for	ADP
ap-1420	242	8	more	more	ADJ
ap-1420	242	9	details	detail	NOUN
ap-1420	242	10	.	.	PUNCT
ap-1420	243	1	here	here	ADV
ap-1420	243	2	,	,	PUNCT
ap-1420	243	3	let	let	VERB
ap-1420	243	4	us	we	PRON
ap-1420	243	5	only	only	ADV
ap-1420	243	6	remind	remind	VERB
ap-1420	243	7	the	the	DET
ap-1420	243	8	readers	reader	NOUN
ap-1420	243	9	that	that	SCONJ
ap-1420	243	10	the	the	DET
ap-1420	243	11	symbol	symbol	NOUN
ap-1420	243	12	p	p	NOUN
ap-1420	243	13	in	in	ADP
ap-1420	243	14	the	the	DET
ap-1420	243	15	superscript	superscript	NOUN
ap-1420	243	16	carries	carry	VERB
ap-1420	243	17	a	a	DET
ap-1420	243	18	double	double	ADJ
ap-1420	243	19	meaning	meaning	NOUN
ap-1420	243	20	and	and	CCONJ
ap-1420	243	21	combines	combine	VERB
ap-1420	243	22	the	the	DET
ap-1420	243	23	mathematical	mathematical	ADJ
ap-1420	243	24	role	role	NOUN
ap-1420	243	25	of	of	ADP
ap-1420	243	26	the	the	DET
ap-1420	243	27	indefinite	indefinite	ADJ
ap-1420	243	28	metric	metric	ADJ
ap-1420	243	29	p	p	NOUN
ap-1420	243	30	(	(	PUNCT
ap-1420	243	31	defining	define	VERB
ap-1420	243	32	in	in	ADP
ap-1420	243	33	fact	fact	NOUN
ap-1420	243	34	the	the	DET
ap-1420	243	35	krein	krein	NOUN
ap-1420	243	36	space	space	NOUN
ap-1420	243	37	)	)	PUNCT
ap-1420	243	38	with	with	ADP
ap-1420	243	39	an	an	DET
ap-1420	243	40	input	input	NOUN
ap-1420	243	41	physical	physical	ADJ
ap-1420	243	42	interpretation	interpretation	NOUN
ap-1420	243	43	(	(	PUNCT
ap-1420	243	44	usually	usually	ADV
ap-1420	243	45	,	,	PUNCT
ap-1420	243	46	of	of	ADP
ap-1420	243	47	the	the	DET
ap-1420	243	48	operator	operator	NOUN
ap-1420	243	49	of	of	ADP
ap-1420	243	50	parity	parity	NOUN
ap-1420	243	51	)	)	PUNCT
ap-1420	243	52	.	.	PUNCT
ap-1420	244	1	in	in	ADP
ap-1420	244	2	addition	addition	NOUN
ap-1420	244	3	,	,	PUNCT
ap-1420	244	4	the	the	DET
ap-1420	244	5	theoretical	theoretical	ADJ
ap-1420	244	6	pattern	pattern	NOUN
ap-1420	244	7	h(s	h(	NOUN
ap-1420	244	8	)	)	PUNCT
ap-1420	244	9	↔	↔	PROPN
ap-1420	244	10	k(p	k(p	PROPN
ap-1420	244	11	)	)	PUNCT
ap-1420	244	12	↔	↔	PROPN
ap-1420	244	13	h(f	h(f	PROPN
ap-1420	244	14	)	)	PUNCT
ap-1420	244	15	.	.	PUNCT
ap-1420	245	1	(	(	PUNCT
ap-1420	245	2	12	12	NUM
ap-1420	245	3	)	)	PUNCT
ap-1420	245	4	is	be	AUX
ap-1420	245	5	complemented	complement	VERB
ap-1420	245	6	by	by	ADP
ap-1420	245	7	the	the	DET
ap-1420	245	8	requirement	requirement	NOUN
ap-1420	245	9	that	that	SCONJ
ap-1420	245	10	there	there	PRON
ap-1420	245	11	exists	exist	VERB
ap-1420	245	12	a	a	DET
ap-1420	245	13	“	"	PUNCT
ap-1420	245	14	charge	charge	NOUN
ap-1420	245	15	”	"	PUNCT
ap-1420	245	16	operator	operator	NOUN
ap-1420	245	17	c	c	NOUN
ap-1420	245	18	such	such	ADJ
ap-1420	245	19	that	that	SCONJ
ap-1420	245	20	the	the	DET
ap-1420	245	21	(	(	PUNCT
ap-1420	245	22	by	by	ADP
ap-1420	245	23	assumption	assumption	NOUN
ap-1420	245	24	,	,	PUNCT
ap-1420	245	25	non	non	ADJ
ap-1420	245	26	-	-	ADJ
ap-1420	245	27	trivial	trivial	ADJ
ap-1420	245	28	,	,	PUNCT
ap-1420	245	29	sophisticated	sophisticated	ADJ
ap-1420	245	30	)	)	PUNCT
ap-1420	245	31	metric	metric	ADJ
ap-1420	245	32	θ(s	θ(s	NOUN
ap-1420	245	33	)	)	PUNCT
ap-1420	245	34	�	�	PROPN
ap-1420	245	35	=	=	SYM
ap-1420	245	36	i	i	PRON
ap-1420	245	37	which	which	PRON
ap-1420	245	38	defines	define	VERB
ap-1420	245	39	the	the	DET
ap-1420	245	40	inner	inner	ADJ
ap-1420	245	41	product	product	NOUN
ap-1420	245	42	in	in	ADP
ap-1420	245	43	the	the	DET
ap-1420	245	44	second	second	ADJ
ap-1420	245	45	hilbert	hilbert	NOUN
ap-1420	245	46	space	space	NOUN
ap-1420	245	47	h(s	h(s	PROPN
ap-1420	245	48	)	)	PUNCT
ap-1420	245	49	coincides	coincide	VERB
ap-1420	245	50	with	with	ADP
ap-1420	245	51	the	the	DET
ap-1420	245	52	product	product	NOUN
ap-1420	245	53	of	of	ADP
ap-1420	245	54	the	the	DET
ap-1420	245	55	two	two	NUM
ap-1420	245	56	abovementioned	abovementioned	ADJ
ap-1420	245	57	operators	operator	NOUN
ap-1420	245	58	,	,	PUNCT
ap-1420	245	59	θ(s	θ(s	NOUN
ap-1420	245	60	)	)	PUNCT
ap-1420	245	61	=	=	SYM
ap-1420	245	62	pc	pc	NOUN
ap-1420	245	63	.	.	PUNCT
ap-1420	246	1	(	(	PUNCT
ap-1420	246	2	13	13	NUM
ap-1420	246	3	)	)	PUNCT
ap-1420	246	4	the	the	DET
ap-1420	246	5	contrast	contrast	NOUN
ap-1420	246	6	between	between	ADP
ap-1420	246	7	the	the	DET
ap-1420	246	8	feasibility	feasibility	NOUN
ap-1420	246	9	of	of	ADP
ap-1420	246	10	the	the	DET
ap-1420	246	11	n	n	PROPN
ap-1420	246	12	�	�	NOUN
ap-1420	246	13	=	=	SYM
ap-1420	246	14	3	3	NUM
ap-1420	246	15	constructions	construction	NOUN
ap-1420	246	16	presented	present	VERB
ap-1420	246	17	in	in	ADP
ap-1420	246	18	ref	ref	NOUN
ap-1420	246	19	.	.	PUNCT
ap-1420	247	1	[	[	X
ap-1420	247	2	5	5	NUM
ap-1420	247	3	]	]	PUNCT
ap-1420	247	4	and	and	CCONJ
ap-1420	247	5	the	the	DET
ap-1420	247	6	discouraging	discouraging	ADJ
ap-1420	247	7	complexity	complexity	NOUN
ap-1420	247	8	and	and	CCONJ
ap-1420	247	9	incompleteness	incompleteness	NOUN
ap-1420	247	10	of	of	ADP
ap-1420	247	11	the	the	DET
ap-1420	247	12	next	next	ADJ
ap-1420	247	13	-	-	PUNCT
ap-1420	247	14	step	step	NOUN
ap-1420	247	15	n	n	NOUN
ap-1420	247	16	=	=	SYM
ap-1420	247	17	4	4	NUM
ap-1420	247	18	constructions	construction	NOUN
ap-1420	247	19	as	as	ADP
ap-1420	247	20	performed	perform	VERB
ap-1420	247	21	in	in	ADP
ap-1420	247	22	paper	paper	NOUN
ap-1420	247	23	[	[	X
ap-1420	247	24	17	17	NUM
ap-1420	247	25	]	]	PUNCT
ap-1420	247	26	and	and	CCONJ
ap-1420	247	27	in	in	ADP
ap-1420	247	28	its	its	PRON
ap-1420	247	29	sequels	sequel	NOUN
ap-1420	247	30	[	[	X
ap-1420	247	31	7	7	X
ap-1420	247	32	]	]	PUNCT
ap-1420	247	33	was	be	AUX
ap-1420	247	34	also	also	ADV
ap-1420	247	35	thoroughly	thoroughly	ADV
ap-1420	247	36	discussed	discuss	VERB
ap-1420	247	37	in	in	ADP
ap-1420	247	38	our	our	PRON
ap-1420	247	39	review	review	NOUN
ap-1420	248	1	[	[	X
ap-1420	248	2	8	8	NUM
ap-1420	248	3	]	]	PUNCT
ap-1420	248	4	.	.	PUNCT
ap-1420	249	1	in	in	ADP
ap-1420	249	2	our	our	PRON
ap-1420	249	3	present	present	ADJ
ap-1420	249	4	text	text	NOUN
ap-1420	249	5	we	we	PRON
ap-1420	249	6	do	do	AUX
ap-1420	249	7	not	not	PART
ap-1420	249	8	deviate	deviate	VERB
ap-1420	249	9	from	from	ADP
ap-1420	249	10	the	the	DET
ap-1420	249	11	notation	notation	NOUN
ap-1420	249	12	and	and	CCONJ
ap-1420	249	13	conventions	convention	NOUN
ap-1420	249	14	accepted	accept	VERB
ap-1420	249	15	for	for	ADP
ap-1420	249	16	this	this	DET
ap-1420	249	17	review	review	NOUN
ap-1420	249	18	.	.	PUNCT
ap-1420	250	1	we	we	PRON
ap-1420	250	2	pay	pay	VERB
ap-1420	250	3	attention	attention	NOUN
ap-1420	250	4	solely	solely	ADV
ap-1420	250	5	to	to	ADP
ap-1420	250	6	the	the	DET
ap-1420	250	7	class	class	NOUN
ap-1420	250	8	of	of	ADP
ap-1420	250	9	models	model	NOUN
ap-1420	250	10	111	111	NUM
ap-1420	250	11	acta	acta	PROPN
ap-1420	250	12	polytechnica	polytechnica	PROPN
ap-1420	250	13	vol	vol	NOUN
ap-1420	250	14	.	.	PUNCT
ap-1420	251	1	51	51	NUM
ap-1420	251	2	no	no	INTJ
ap-1420	251	3	.	.	PUNCT
ap-1420	252	1	4/2011	4/2011	NUM
ap-1420	252	2	where	where	SCONJ
ap-1420	252	3	the	the	DET
ap-1420	252	4	n−dimensional	n−dimensional	ADJ
ap-1420	252	5	matrix	matrix	NOUN
ap-1420	252	6	of	of	ADP
ap-1420	252	7	parity	parity	NOUN
ap-1420	252	8	is	be	AUX
ap-1420	252	9	unique	unique	ADJ
ap-1420	252	10	and	and	CCONJ
ap-1420	252	11	given	give	VERB
ap-1420	252	12	,	,	PUNCT
ap-1420	252	13	in	in	ADP
ap-1420	252	14	advance	advance	NOUN
ap-1420	252	15	,	,	PUNCT
ap-1420	252	16	in	in	ADP
ap-1420	252	17	the	the	DET
ap-1420	252	18	following	follow	VERB
ap-1420	252	19	form	form	NOUN
ap-1420	252	20	,	,	PUNCT
ap-1420	252	21	p	p	NOUN
ap-1420	252	22	=	=	PUNCT
ap-1420	252	23	⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣	⎡⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎢⎣	NOUN
ap-1420	252	24	1	1	NUM
ap-1420	252	25	0	0	NUM
ap-1420	252	26	.	.	PUNCT
ap-1420	252	27	.	.	PUNCT
ap-1420	252	28	.	.	PUNCT
ap-1420	252	29	.	.	PUNCT
ap-1420	252	30	.	.	PUNCT
ap-1420	252	31	.	.	PUNCT
ap-1420	253	1	0	0	NUM
ap-1420	253	2	0	0	NUM
ap-1420	253	3	−1	−1	NOUN
ap-1420	253	4	0	0	NUM
ap-1420	253	5	.	.	PUNCT
ap-1420	253	6	.	.	PUNCT
ap-1420	253	7	.	.	PUNCT
ap-1420	253	8	.	.	PUNCT
ap-1420	253	9	.	.	PUNCT
ap-1420	253	10	.	.	PUNCT
ap-1420	254	1	0	0	NUM
ap-1420	255	1	0	0	NUM
ap-1420	255	2	0	0	NUM
ap-1420	255	3	1	1	NUM
ap-1420	255	4	0	0	NUM
ap-1420	255	5	.	.	PUNCT
ap-1420	255	6	.	.	PUNCT
ap-1420	255	7	.	.	PUNCT
ap-1420	256	1	0	0	NUM
ap-1420	256	2	0	0	NUM
ap-1420	256	3	0	0	NUM
ap-1420	256	4	0	0	NUM
ap-1420	256	5	−1	−1	NOUN
ap-1420	256	6	.	.	PUNCT
ap-1420	256	7	.	.	PUNCT
ap-1420	256	8	.	.	PUNCT
ap-1420	257	1	...	...	PUNCT
ap-1420	257	2	...	...	PUNCT
ap-1420	257	3	.	.	PUNCT
ap-1420	257	4	.	.	PUNCT
ap-1420	257	5	.	.	PUNCT
ap-1420	258	1	.	.	PUNCT
ap-1420	258	2	.	.	PUNCT
ap-1420	259	1	.	.	PUNCT
ap-1420	259	2	.	.	PUNCT
ap-1420	260	1	.	.	PUNCT
ap-1420	260	2	.	.	PUNCT
ap-1420	261	1	.	.	PUNCT
ap-1420	261	2	.	.	PUNCT
ap-1420	262	1	.	.	PUNCT
ap-1420	263	1	0	0	NUM
ap-1420	263	2	0	0	NUM
ap-1420	263	3	.	.	PUNCT
ap-1420	263	4	.	.	PUNCT
ap-1420	264	1	.	.	PUNCT
ap-1420	265	1	0	0	NUM
ap-1420	266	1	0	0	NUM
ap-1420	266	2	0	0	NUM
ap-1420	266	3	∓1	∓1	NUM
ap-1420	266	4	⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦	⎤⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎥⎦	NOUN
ap-1420	266	5	.	.	PUNCT
ap-1420	267	1	(	(	PUNCT
ap-1420	267	2	14	14	NUM
ap-1420	267	3	)	)	PUNCT
ap-1420	267	4	in	in	ADP
ap-1420	267	5	parallel	parallel	NOUN
ap-1420	267	6	,	,	PUNCT
ap-1420	267	7	we	we	PRON
ap-1420	267	8	made	make	VERB
ap-1420	267	9	use	use	NOUN
ap-1420	267	10	of	of	ADP
ap-1420	267	11	the	the	DET
ap-1420	267	12	time	time	NOUN
ap-1420	267	13	-	-	PUNCT
ap-1420	267	14	reversal	reversal	NOUN
ap-1420	267	15	operator	operator	NOUN
ap-1420	267	16	t	t	PROPN
ap-1420	267	17	of	of	ADP
ap-1420	267	18	the	the	DET
ap-1420	267	19	form	form	NOUN
ap-1420	267	20	presented	present	VERB
ap-1420	267	21	,	,	PUNCT
ap-1420	267	22	e.g.	e.g.	ADV
ap-1420	267	23	,	,	PUNCT
ap-1420	267	24	in	in	ADP
ap-1420	267	25	ref	ref	NOUN
ap-1420	267	26	.	.	PUNCT
ap-1420	268	1	[	[	X
ap-1420	268	2	5	5	NUM
ap-1420	268	3	]	]	PUNCT
ap-1420	268	4	as	as	ADP
ap-1420	268	5	mediating	mediate	VERB
ap-1420	268	6	just	just	ADV
ap-1420	268	7	the	the	DET
ap-1420	268	8	transposition	transposition	NOUN
ap-1420	268	9	plus	plus	CCONJ
ap-1420	268	10	complex	complex	ADJ
ap-1420	268	11	conjugation	conjugation	NOUN
ap-1420	268	12	of	of	ADP
ap-1420	268	13	vectors	vector	NOUN
ap-1420	268	14	and/or	and/or	CCONJ
ap-1420	268	15	matrices	matrix	NOUN
ap-1420	268	16	.	.	PUNCT
ap-1420	269	1	we	we	PRON
ap-1420	269	2	should	should	AUX
ap-1420	269	3	add	add	VERB
ap-1420	269	4	that	that	SCONJ
ap-1420	269	5	once	once	SCONJ
ap-1420	269	6	we	we	PRON
ap-1420	269	7	work	work	VERB
ap-1420	269	8	with	with	ADP
ap-1420	269	9	real	real	ADJ
ap-1420	269	10	vectors	vector	NOUN
ap-1420	269	11	and	and	CCONJ
ap-1420	269	12	matrices	matrix	NOUN
ap-1420	269	13	,	,	PUNCT
ap-1420	269	14	we	we	PRON
ap-1420	269	15	are	be	AUX
ap-1420	269	16	even	even	ADV
ap-1420	269	17	allowed	allow	VERB
ap-1420	269	18	to	to	PART
ap-1420	269	19	perceive	perceive	VERB
ap-1420	269	20	t	t	PROPN
ap-1420	269	21	as	as	ADP
ap-1420	269	22	a	a	DET
ap-1420	269	23	mere	mere	ADJ
ap-1420	269	24	transposition	transposition	NOUN
ap-1420	269	25	.	.	PUNCT
ap-1420	270	1	acknowledgement	acknowledgement	NOUN
ap-1420	270	2	work	work	NOUN
ap-1420	270	3	supported	support	VERB
ap-1420	270	4	by	by	ADP
ap-1420	270	5	gačr	gačr	PROPN
ap-1420	270	6	grant	grant	PROPN
ap-1420	270	7	nr	nr	PROPN
ap-1420	270	8	.	.	PUNCT
ap-1420	271	1	p203/11/1433	p203/11/1433	NOUN
ap-1420	271	2	,	,	PUNCT
ap-1420	271	3	by	by	ADP
ap-1420	271	4	mšmt	mšmt	ADJ
ap-1420	271	5	“	"	PUNCT
ap-1420	271	6	doppler	doppler	NOUN
ap-1420	271	7	institute	institute	NOUN
ap-1420	271	8	”	"	PUNCT
ap-1420	271	9	project	project	PROPN
ap-1420	271	10	nr	nr	PROPN
ap-1420	271	11	.	.	PROPN
ap-1420	271	12	lc06002	lc06002	PROPN
ap-1420	271	13	,	,	PUNCT
ap-1420	271	14	and	and	CCONJ
ap-1420	271	15	by	by	ADP
ap-1420	271	16	the	the	DET
ap-1420	271	17	inst	inst	NOUN
ap-1420	271	18	.	.	PUNCT
ap-1420	272	1	res	re	NOUN
ap-1420	272	2	.	.	PUNCT
ap-1420	272	3	plan	plan	PROPN
ap-1420	272	4	av0z10480505	av0z10480505	PROPN
ap-1420	272	5	.	.	PUNCT
ap-1420	273	1	references	reference	NOUN
ap-1420	273	2	[	[	X
ap-1420	273	3	1	1	NUM
ap-1420	273	4	]	]	X
ap-1420	273	5	bender	bender	NOUN
ap-1420	273	6	,	,	PUNCT
ap-1420	273	7	c.	c.	PROPN
ap-1420	273	8	m.	m.	NOUN
ap-1420	273	9	:	:	PUNCT
ap-1420	273	10	making	make	VERB
ap-1420	273	11	sense	sense	NOUN
ap-1420	273	12	of	of	ADP
ap-1420	273	13	non	non	ADJ
ap-1420	273	14	-	-	ADJ
ap-1420	273	15	hermitian	hermitian	ADJ
ap-1420	273	16	hamiltonians	hamiltonian	NOUN
ap-1420	273	17	,	,	PUNCT
ap-1420	273	18	rep	rep	PROPN
ap-1420	273	19	.	.	PROPN
ap-1420	273	20	prog	prog	PROPN
ap-1420	273	21	.	.	PUNCT
ap-1420	274	1	phys	phy	NOUN
ap-1420	274	2	.	.	PUNCT
ap-1420	275	1	vol	vol	NOUN
ap-1420	275	2	.	.	PUNCT
ap-1420	276	1	70	70	NUM
ap-1420	276	2	(	(	PUNCT
ap-1420	276	3	2007	2007	NUM
ap-1420	276	4	)	)	PUNCT
ap-1420	276	5	,	,	PUNCT
ap-1420	277	1	p.	p.	NOUN
ap-1420	277	2	947–1018	947–1018	NUM
ap-1420	277	3	.	.	PUNCT
ap-1420	278	1	[	[	X
ap-1420	278	2	2	2	NUM
ap-1420	278	3	]	]	X
ap-1420	278	4	dorey	dorey	PROPN
ap-1420	278	5	,	,	PUNCT
ap-1420	278	6	p.	p.	NOUN
ap-1420	278	7	,	,	PUNCT
ap-1420	278	8	dunning	dunning	NOUN
ap-1420	278	9	,	,	PUNCT
ap-1420	278	10	c.	c.	NOUN
ap-1420	278	11	,	,	PUNCT
ap-1420	278	12	tateo	tateo	NOUN
ap-1420	278	13	,	,	PUNCT
ap-1420	278	14	r.	r.	PROPN
ap-1420	278	15	:	:	PUNCT
ap-1420	278	16	the	the	DET
ap-1420	278	17	ode	ode	PROPN
ap-1420	278	18	/	/	SYM
ap-1420	278	19	im	im	NOUN
ap-1420	278	20	correspondence	correspondence	NOUN
ap-1420	278	21	,	,	PUNCT
ap-1420	278	22	j.	j.	PROPN
ap-1420	278	23	phys	phys	PROPN
ap-1420	278	24	.	.	PUNCT
ap-1420	279	1	a	a	DET
ap-1420	279	2	:	:	PUNCT
ap-1420	279	3	math	math	NOUN
ap-1420	279	4	.	.	PUNCT
ap-1420	280	1	theor	theor	PROPN
ap-1420	280	2	.	.	PUNCT
ap-1420	281	1	vol	vol	NOUN
ap-1420	281	2	.	.	PROPN
ap-1420	282	1	40	40	NUM
ap-1420	282	2	(	(	PUNCT
ap-1420	282	3	2007	2007	NUM
ap-1420	282	4	)	)	PUNCT
ap-1420	283	1	p.	p.	NOUN
ap-1420	283	2	r205	r205	NUM
ap-1420	283	3	–	–	PUNCT
ap-1420	283	4	r283	r283	NUM
ap-1420	283	5	.	.	PUNCT
ap-1420	284	1	davies	davy	NOUN
ap-1420	284	2	,	,	PUNCT
ap-1420	284	3	e.	e.	PROPN
ap-1420	284	4	b.	b.	PROPN
ap-1420	284	5	:	:	PUNCT
ap-1420	284	6	linear	linear	PROPN
ap-1420	284	7	operators	operator	NOUN
ap-1420	284	8	and	and	CCONJ
ap-1420	284	9	their	their	PRON
ap-1420	284	10	spectra	spectra	PROPN
ap-1420	284	11	.	.	PUNCT
ap-1420	285	1	cambridge	cambridge	PROPN
ap-1420	285	2	:	:	PUNCT
ap-1420	285	3	cambridge	cambridge	PROPN
ap-1420	285	4	university	university	PROPN
ap-1420	285	5	press	press	NOUN
ap-1420	285	6	,	,	PUNCT
ap-1420	285	7	2007	2007	NUM
ap-1420	285	8	.	.	PUNCT
ap-1420	286	1	mostafazadeh	mostafazadeh	PROPN
ap-1420	286	2	,	,	PUNCT
ap-1420	286	3	a.	a.	NOUN
ap-1420	286	4	:	:	PUNCT
ap-1420	286	5	pseudo	pseudo	NOUN
ap-1420	286	6	-	-	ADJ
ap-1420	286	7	hermitian	hermitian	ADJ
ap-1420	286	8	quantum	quantum	NOUN
ap-1420	286	9	mechanics	mechanic	NOUN
ap-1420	286	10	.	.	PUNCT
ap-1420	287	1	[	[	X
ap-1420	287	2	3	3	NUM
ap-1420	287	3	]	]	X
ap-1420	287	4	znojil	znojil	NOUN
ap-1420	287	5	,	,	PUNCT
ap-1420	287	6	m.	m.	NOUN
ap-1420	287	7	:	:	PUNCT
ap-1420	287	8	three	three	NUM
ap-1420	287	9	-	-	PUNCT
ap-1420	287	10	hilbert	hilbert	NOUN
ap-1420	287	11	-	-	PUNCT
ap-1420	287	12	space	space	NOUN
ap-1420	287	13	formulation	formulation	NOUN
ap-1420	287	14	of	of	ADP
ap-1420	287	15	quantum	quantum	ADJ
ap-1420	287	16	mechanics	mechanic	NOUN
ap-1420	287	17	,	,	PUNCT
ap-1420	287	18	sigma	sigma	NOUN
ap-1420	287	19	,	,	PUNCT
ap-1420	287	20	vol	vol	NOUN
ap-1420	287	21	.	.	PROPN
ap-1420	287	22	5	5	NUM
ap-1420	287	23	(	(	PUNCT
ap-1420	287	24	2009	2009	NUM
ap-1420	287	25	)	)	PUNCT
ap-1420	287	26	,	,	PUNCT
ap-1420	287	27	001	001	NUM
ap-1420	287	28	,	,	PUNCT
ap-1420	287	29	19	19	NUM
ap-1420	287	30	pages	page	NOUN
ap-1420	287	31	.	.	PUNCT
ap-1420	288	1	[	[	X
ap-1420	288	2	4	4	X
ap-1420	288	3	]	]	X
ap-1420	288	4	rüter	rüter	PROPN
ap-1420	288	5	,	,	PUNCT
ap-1420	288	6	c.	c.	PROPN
ap-1420	288	7	e.	e.	PROPN
ap-1420	288	8	,	,	PUNCT
ap-1420	288	9	makris	makris	PROPN
ap-1420	288	10	,	,	PUNCT
ap-1420	288	11	k.	k.	PROPN
ap-1420	288	12	g.	g.	PROPN
ap-1420	288	13	,	,	PUNCT
ap-1420	288	14	el	el	PROPN
ap-1420	288	15	-	-	PUNCT
ap-1420	288	16	ganainy	ganainy	PROPN
ap-1420	288	17	,	,	PUNCT
ap-1420	288	18	r.	r.	PROPN
ap-1420	288	19	,	,	PUNCT
ap-1420	288	20	christodoulides	christodoulide	NOUN
ap-1420	288	21	,	,	PUNCT
ap-1420	288	22	d.	d.	PROPN
ap-1420	288	23	n.	n.	PROPN
ap-1420	288	24	,	,	PUNCT
ap-1420	288	25	segev	segev	NOUN
ap-1420	288	26	,	,	PUNCT
ap-1420	288	27	m.	m.	NOUN
ap-1420	288	28	,	,	PUNCT
ap-1420	288	29	kip	kip	PROPN
ap-1420	288	30	,	,	PUNCT
ap-1420	288	31	d.	d.	NOUN
ap-1420	288	32	:	:	PUNCT
ap-1420	288	33	observation	observation	NOUN
ap-1420	288	34	of	of	ADP
ap-1420	288	35	parity	parity	NOUN
ap-1420	288	36	-	-	PUNCT
ap-1420	288	37	time	time	NOUN
ap-1420	288	38	symmetry	symmetry	NOUN
ap-1420	288	39	in	in	ADP
ap-1420	288	40	optics	optic	NOUN
ap-1420	288	41	,	,	PUNCT
ap-1420	288	42	nat	nat	PROPN
ap-1420	288	43	.	.	PUNCT
ap-1420	289	1	phys	phy	NOUN
ap-1420	289	2	.	.	PUNCT
ap-1420	290	1	vol	vol	NOUN
ap-1420	290	2	.	.	PROPN
ap-1420	291	1	6	6	NUM
ap-1420	291	2	(	(	PUNCT
ap-1420	291	3	2010	2010	NUM
ap-1420	291	4	)	)	PUNCT
ap-1420	291	5	,	,	PUNCT
ap-1420	292	1	p.	p.	PROPN
ap-1420	292	2	192–195	192–195	NUM
ap-1420	292	3	.	.	PUNCT
ap-1420	293	1	kottos	kotto	NOUN
ap-1420	293	2	,	,	PUNCT
ap-1420	293	3	t.	t.	PROPN
ap-1420	293	4	:	:	PUNCT
ap-1420	293	5	optical	optical	ADJ
ap-1420	293	6	physics	physics	NOUN
ap-1420	293	7	:	:	PUNCT
ap-1420	293	8	broken	break	VERB
ap-1420	293	9	symmetry	symmetry	NOUN
ap-1420	293	10	makes	make	VERB
ap-1420	293	11	light	light	ADJ
ap-1420	293	12	work	work	NOUN
ap-1420	293	13	,	,	PUNCT
ap-1420	293	14	nat	nat	PROPN
ap-1420	293	15	.	.	PUNCT
ap-1420	294	1	phys	phy	NOUN
ap-1420	294	2	.	.	PUNCT
ap-1420	295	1	vol	vol	NOUN
ap-1420	295	2	.	.	PROPN
ap-1420	296	1	6	6	NUM
ap-1420	296	2	(	(	PUNCT
ap-1420	296	3	2010	2010	NUM
ap-1420	296	4	)	)	PUNCT
ap-1420	296	5	,	,	PUNCT
ap-1420	297	1	p.	p.	NOUN
ap-1420	297	2	166–167	166–167	NUM
ap-1420	297	3	.	.	PUNCT
ap-1420	298	1	[	[	X
ap-1420	298	2	5	5	NUM
ap-1420	298	3	]	]	X
ap-1420	298	4	wang	wang	PROPN
ap-1420	298	5	,	,	PUNCT
ap-1420	298	6	q.-h	q.-h	PROPN
ap-1420	298	7	.	.	PUNCT
ap-1420	298	8	,	,	PUNCT
ap-1420	298	9	chia	chia	PROPN
ap-1420	298	10	,	,	PUNCT
ap-1420	298	11	s.-z	s.-z	PROPN
ap-1420	298	12	.	.	PUNCT
ap-1420	298	13	,	,	PUNCT
ap-1420	298	14	zhang	zhang	PROPN
ap-1420	298	15	,	,	PUNCT
ap-1420	298	16	j.-h	j.-h	PROPN
ap-1420	298	17	.	.	PUNCT
ap-1420	298	18	:	:	PUNCT
ap-1420	298	19	pt	pt	PROPN
ap-1420	298	20	symmetry	symmetry	NOUN
ap-1420	298	21	as	as	ADP
ap-1420	298	22	a	a	DET
ap-1420	298	23	generalization	generalization	NOUN
ap-1420	298	24	of	of	ADP
ap-1420	298	25	hermiticity	hermiticity	PROPN
ap-1420	298	26	,	,	PUNCT
ap-1420	298	27	j.	j.	PROPN
ap-1420	298	28	phys	phys	PROPN
ap-1420	298	29	.	.	PUNCT
ap-1420	299	1	a	a	DET
ap-1420	299	2	:	:	PUNCT
ap-1420	299	3	math	math	NOUN
ap-1420	299	4	.	.	PUNCT
ap-1420	300	1	theor	theor	PROPN
ap-1420	300	2	.	.	PUNCT
ap-1420	301	1	vol	vol	NOUN
ap-1420	301	2	.	.	PUNCT
ap-1420	302	1	43	43	NUM
ap-1420	302	2	(	(	PUNCT
ap-1420	302	3	2010	2010	NUM
ap-1420	302	4	)	)	PUNCT
ap-1420	302	5	,	,	PUNCT
ap-1420	303	1	p.	p.	NOUN
ap-1420	303	2	295	295	NUM
ap-1420	303	3	301	301	NUM
ap-1420	303	4	.	.	PUNCT
ap-1420	304	1	[	[	X
ap-1420	304	2	6	6	NUM
ap-1420	304	3	]	]	X
ap-1420	304	4	znojil	znojil	NOUN
ap-1420	304	5	,	,	PUNCT
ap-1420	304	6	m.	m.	NOUN
ap-1420	304	7	:	:	PUNCT
ap-1420	304	8	anomalous	anomalous	ADJ
ap-1420	304	9	real	real	ADJ
ap-1420	304	10	spectra	spectra	NOUN
ap-1420	304	11	of	of	ADP
ap-1420	304	12	nonhermitian	nonhermitian	ADJ
ap-1420	304	13	quantum	quantum	NOUN
ap-1420	304	14	graphs	graph	NOUN
ap-1420	304	15	in	in	ADP
ap-1420	304	16	strong	strong	ADJ
ap-1420	304	17	-	-	PUNCT
ap-1420	304	18	coupling	couple	VERB
ap-1420	304	19	regime	regime	NOUN
ap-1420	304	20	,	,	PUNCT
ap-1420	304	21	j.	j.	PROPN
ap-1420	304	22	phys	phys	PROPN
ap-1420	304	23	.	.	PUNCT
ap-1420	305	1	a	a	DET
ap-1420	305	2	:	:	PUNCT
ap-1420	305	3	math	math	NOUN
ap-1420	305	4	.	.	PUNCT
ap-1420	306	1	theor	theor	PROPN
ap-1420	306	2	.	.	PUNCT
ap-1420	307	1	vol	vol	NOUN
ap-1420	307	2	.	.	PUNCT
ap-1420	308	1	43	43	NUM
ap-1420	308	2	(	(	PUNCT
ap-1420	308	3	2010	2010	NUM
ap-1420	308	4	)	)	PUNCT
ap-1420	308	5	,	,	PUNCT
ap-1420	309	1	p.	p.	NOUN
ap-1420	309	2	335	335	NUM
ap-1420	309	3	303	303	NUM
ap-1420	309	4	.	.	PUNCT
ap-1420	310	1	[	[	X
ap-1420	310	2	7	7	NUM
ap-1420	310	3	]	]	X
ap-1420	310	4	znojil	znojil	NOUN
ap-1420	310	5	,	,	PUNCT
ap-1420	310	6	m.	m.	NOUN
ap-1420	310	7	:	:	PUNCT
ap-1420	310	8	tridiagonal	tridiagonal	ADJ
ap-1420	310	9	pt	pt	ADJ
ap-1420	310	10	-	-	ADJ
ap-1420	310	11	symmetric	symmetric	ADJ
ap-1420	310	12	n	n	X
ap-1420	310	13	by	by	ADP
ap-1420	310	14	n	n	CCONJ
ap-1420	310	15	hamiltonians	hamiltonian	NOUN
ap-1420	310	16	and	and	CCONJ
ap-1420	310	17	a	a	DET
ap-1420	310	18	fine	fine	ADV
ap-1420	310	19	-	-	PUNCT
ap-1420	310	20	tuning	tuning	NOUN
ap-1420	310	21	of	of	ADP
ap-1420	310	22	their	their	PRON
ap-1420	310	23	observability	observability	NOUN
ap-1420	310	24	domains	domain	NOUN
ap-1420	310	25	in	in	ADP
ap-1420	310	26	the	the	DET
ap-1420	310	27	strongly	strongly	ADV
ap-1420	310	28	non	non	ADJ
ap-1420	310	29	-	-	ADJ
ap-1420	310	30	hermitian	hermitian	ADJ
ap-1420	310	31	regime	regime	NOUN
ap-1420	310	32	,	,	PUNCT
ap-1420	310	33	j.	j.	PROPN
ap-1420	310	34	phys	phys	PROPN
ap-1420	310	35	.	.	PUNCT
ap-1420	311	1	a	a	DET
ap-1420	311	2	:	:	PUNCT
ap-1420	311	3	math	math	NOUN
ap-1420	311	4	.	.	PUNCT
ap-1420	312	1	theor	theor	PROPN
ap-1420	312	2	.	.	PUNCT
ap-1420	313	1	vol	vol	NOUN
ap-1420	313	2	.	.	PROPN
ap-1420	314	1	40	40	NUM
ap-1420	314	2	(	(	PUNCT
ap-1420	314	3	2007	2007	NUM
ap-1420	314	4	)	)	PUNCT
ap-1420	314	5	,	,	PUNCT
ap-1420	314	6	13	13	NUM
ap-1420	314	7	131–13148	131–13148	NUM
ap-1420	314	8	.	.	PUNCT
ap-1420	315	1	znojil	znojil	PROPN
ap-1420	315	2	,	,	PUNCT
ap-1420	315	3	m	m	PRON
ap-1420	315	4	,	,	PUNCT
ap-1420	315	5	:	:	PUNCT
ap-1420	315	6	conditional	conditional	ADJ
ap-1420	315	7	observability	observability	NOUN
ap-1420	315	8	versus	versus	ADP
ap-1420	315	9	selfduality	selfduality	NOUN
ap-1420	315	10	in	in	ADP
ap-1420	315	11	a	a	DET
ap-1420	315	12	schematic	schematic	ADJ
ap-1420	315	13	model	model	NOUN
ap-1420	315	14	,	,	PUNCT
ap-1420	315	15	j.	j.	PROPN
ap-1420	315	16	phys	phys	PROPN
ap-1420	315	17	.	.	PUNCT
ap-1420	316	1	a	a	DET
ap-1420	316	2	:	:	PUNCT
ap-1420	316	3	math	math	NOUN
ap-1420	316	4	.	.	PUNCT
ap-1420	317	1	theor	theor	PROPN
ap-1420	317	2	.	.	PUNCT
ap-1420	318	1	41	41	NUM
ap-1420	318	2	(	(	PUNCT
ap-1420	318	3	2008	2008	NUM
ap-1420	318	4	)	)	PUNCT
ap-1420	318	5	,	,	PUNCT
ap-1420	318	6	p.	p.	NOUN
ap-1420	318	7	304	304	NUM
ap-1420	318	8	027	027	NUM
ap-1420	318	9	.	.	PUNCT
ap-1420	319	1	znojil	znojil	NOUN
ap-1420	319	2	,	,	PUNCT
ap-1420	319	3	m.	m.	NOUN
ap-1420	319	4	:	:	PUNCT
ap-1420	319	5	a	a	DET
ap-1420	319	6	return	return	NOUN
ap-1420	319	7	to	to	ADP
ap-1420	319	8	observability	observability	NOUN
ap-1420	319	9	near	near	ADP
ap-1420	319	10	exceptional	exceptional	ADJ
ap-1420	319	11	points	point	NOUN
ap-1420	319	12	in	in	ADP
ap-1420	319	13	a	a	DET
ap-1420	319	14	schematic	schematic	ADJ
ap-1420	319	15	pt	pt	ADJ
ap-1420	319	16	-	-	PUNCT
ap-1420	319	17	symmetric	symmetric	ADJ
ap-1420	319	18	model	model	NOUN
ap-1420	319	19	,	,	PUNCT
ap-1420	319	20	phys	phy	NOUN
ap-1420	319	21	.	.	PUNCT
ap-1420	320	1	lett	lett	PROPN
ap-1420	320	2	.	.	PUNCT
ap-1420	321	1	vol	vol	NOUN
ap-1420	321	2	.	.	PUNCT
ap-1420	322	1	b	b	NOUN
ap-1420	322	2	647	647	NUM
ap-1420	322	3	(	(	PUNCT
ap-1420	322	4	2007	2007	NUM
ap-1420	322	5	)	)	PUNCT
ap-1420	322	6	,	,	PUNCT
ap-1420	322	7	p.	p.	NOUN
ap-1420	322	8	225–230	225–230	NUM
ap-1420	322	9	.	.	PUNCT
ap-1420	323	1	znojil	znojil	NOUN
ap-1420	323	2	,	,	PUNCT
ap-1420	323	3	m.	m.	NOUN
ap-1420	323	4	:	:	PUNCT
ap-1420	323	5	conditional	conditional	ADJ
ap-1420	323	6	observability	observability	NOUN
ap-1420	323	7	,	,	PUNCT
ap-1420	323	8	phys	phy	NOUN
ap-1420	323	9	.	.	PUNCT
ap-1420	324	1	lett	lett	PROPN
ap-1420	324	2	.	.	PUNCT
ap-1420	325	1	vol	vol	NOUN
ap-1420	325	2	.	.	PUNCT
ap-1420	326	1	b	b	NOUN
ap-1420	326	2	650	650	NUM
ap-1420	326	3	(	(	PUNCT
ap-1420	326	4	2007	2007	NUM
ap-1420	326	5	)	)	PUNCT
ap-1420	326	6	,	,	PUNCT
ap-1420	326	7	p.	p.	NOUN
ap-1420	327	1	440–446	440–446	NUM
ap-1420	327	2	.	.	PUNCT
ap-1420	328	1	[	[	X
ap-1420	328	2	8	8	NUM
ap-1420	328	3	]	]	X
ap-1420	328	4	znojil	znojil	NOUN
ap-1420	328	5	,	,	PUNCT
ap-1420	328	6	m.	m.	NOUN
ap-1420	328	7	:	:	PUNCT
ap-1420	328	8	pt	pt	ADJ
ap-1420	328	9	-	-	ADJ
ap-1420	328	10	symmetric	symmetric	ADJ
ap-1420	328	11	quantum	quantum	NOUN
ap-1420	328	12	chain	chain	NOUN
ap-1420	328	13	models	model	NOUN
ap-1420	328	14	,	,	PUNCT
ap-1420	328	15	acta	acta	PROPN
ap-1420	328	16	polytechnica	polytechnica	PROPN
ap-1420	328	17	,	,	PUNCT
ap-1420	328	18	vol	vol	NOUN
ap-1420	328	19	.	.	PUNCT
ap-1420	329	1	47	47	NUM
ap-1420	329	2	(	(	PUNCT
ap-1420	329	3	2007	2007	NUM
ap-1420	329	4	)	)	PUNCT
ap-1420	329	5	,	,	PUNCT
ap-1420	329	6	p.	p.	NOUN
ap-1420	329	7	9–14	9–14	PROPN
ap-1420	329	8	.	.	PUNCT
ap-1420	330	1	[	[	X
ap-1420	330	2	9	9	NUM
ap-1420	330	3	]	]	SYM
ap-1420	330	4	znojil	znojil	NOUN
ap-1420	330	5	,	,	PUNCT
ap-1420	330	6	m.	m.	NOUN
ap-1420	330	7	:	:	PUNCT
ap-1420	330	8	novel	novel	ADJ
ap-1420	330	9	recurrent	recurrent	ADJ
ap-1420	330	10	approach	approach	NOUN
ap-1420	330	11	to	to	ADP
ap-1420	330	12	the	the	DET
ap-1420	330	13	generalized	generalized	ADJ
ap-1420	330	14	su	su	NOUN
ap-1420	330	15	-	-	PUNCT
ap-1420	330	16	schrieffer	schrieffer	NOUN
ap-1420	330	17	-	-	PUNCT
ap-1420	330	18	heeger	heeger	NOUN
ap-1420	330	19	hamiltonians	hamiltonian	NOUN
ap-1420	330	20	,	,	PUNCT
ap-1420	330	21	phys	phy	NOUN
ap-1420	330	22	.	.	PUNCT
ap-1420	330	23	rev	rev	PROPN
ap-1420	330	24	.	.	PROPN
ap-1420	330	25	b	b	NUM
ap-1420	330	26	vol	vol	NOUN
ap-1420	330	27	.	.	PROPN
ap-1420	331	1	40	40	NUM
ap-1420	331	2	(	(	PUNCT
ap-1420	331	3	1989	1989	NUM
ap-1420	331	4	)	)	PUNCT
ap-1420	331	5	,	,	PUNCT
ap-1420	332	1	p.	p.	NOUN
ap-1420	332	2	12	12	NUM
ap-1420	332	3	468–12475	468–12475	NUM
ap-1420	332	4	.	.	PUNCT
ap-1420	333	1	[	[	X
ap-1420	333	2	10	10	NUM
ap-1420	333	3	]	]	X
ap-1420	333	4	znojil	znojil	NOUN
ap-1420	333	5	,	,	PUNCT
ap-1420	333	6	m.	m.	NOUN
ap-1420	333	7	:	:	PUNCT
ap-1420	333	8	horizons	horizon	NOUN
ap-1420	333	9	of	of	ADP
ap-1420	333	10	stability	stability	NOUN
ap-1420	333	11	,	,	PUNCT
ap-1420	333	12	j.	j.	PROPN
ap-1420	333	13	phys	phys	PROPN
ap-1420	333	14	.	.	PUNCT
ap-1420	334	1	a	a	DET
ap-1420	334	2	:	:	PUNCT
ap-1420	334	3	math	math	NOUN
ap-1420	334	4	.	.	PUNCT
ap-1420	335	1	theor	theor	PROPN
ap-1420	335	2	.	.	PUNCT
ap-1420	336	1	vol	vol	NOUN
ap-1420	336	2	.	.	PUNCT
ap-1420	337	1	41	41	NUM
ap-1420	337	2	(	(	PUNCT
ap-1420	337	3	2008	2008	NUM
ap-1420	337	4	)	)	PUNCT
ap-1420	337	5	,	,	PUNCT
ap-1420	338	1	p.	p.	NOUN
ap-1420	338	2	244	244	NUM
ap-1420	339	1	027	027	NUM
ap-1420	339	2	.	.	PUNCT
ap-1420	340	1	[	[	X
ap-1420	340	2	11	11	NUM
ap-1420	340	3	]	]	SYM
ap-1420	340	4	top	top	NOUN
ap-1420	340	5	,	,	PUNCT
ap-1420	340	6	j.	j.	PROPN
ap-1420	340	7	,	,	PUNCT
ap-1420	340	8	weitenberg	weitenberg	PROPN
ap-1420	340	9	,	,	PUNCT
ap-1420	340	10	e.	e.	PROPN
ap-1420	340	11	:	:	PUNCT
ap-1420	340	12	models	model	NOUN
ap-1420	340	13	of	of	ADP
ap-1420	340	14	discriminant	discriminant	ADJ
ap-1420	340	15	surfaces	surface	NOUN
ap-1420	340	16	,	,	PUNCT
ap-1420	340	17	bull	bull	NOUN
ap-1420	340	18	.	.	PUNCT
ap-1420	341	1	ams	am	NOUN
ap-1420	341	2	vol	vol	NOUN
ap-1420	341	3	.	.	PUNCT
ap-1420	342	1	48	48	NUM
ap-1420	342	2	(	(	PUNCT
ap-1420	342	3	2011	2011	NUM
ap-1420	342	4	)	)	PUNCT
ap-1420	342	5	,	,	PUNCT
ap-1420	342	6	p.	p.	NOUN
ap-1420	342	7	85–90	85–90	NUM
ap-1420	342	8	.	.	PUNCT
ap-1420	343	1	[	[	X
ap-1420	343	2	12	12	NUM
ap-1420	343	3	]	]	X
ap-1420	343	4	wagner	wagner	PROPN
ap-1420	343	5	,	,	PUNCT
ap-1420	343	6	d.	d.	PROPN
ap-1420	343	7	g.	g.	PROPN
ap-1420	343	8	:	:	PUNCT
ap-1420	343	9	multivariate	multivariate	VERB
ap-1420	343	10	stable	stable	ADJ
ap-1420	343	11	polynomials	polynomial	NOUN
ap-1420	343	12	:	:	PUNCT
ap-1420	343	13	theory	theory	NOUN
ap-1420	343	14	and	and	CCONJ
ap-1420	343	15	application	application	NOUN
ap-1420	343	16	,	,	PUNCT
ap-1420	343	17	bull	bull	NOUN
ap-1420	343	18	.	.	PUNCT
ap-1420	344	1	ams	am	NOUN
ap-1420	344	2	vol	vol	NOUN
ap-1420	344	3	.	.	PUNCT
ap-1420	345	1	48	48	NUM
ap-1420	345	2	(	(	PUNCT
ap-1420	345	3	2011	2011	NUM
ap-1420	345	4	)	)	PUNCT
ap-1420	345	5	,	,	PUNCT
ap-1420	345	6	p.	p.	NOUN
ap-1420	345	7	53–84	53–84	NUM
ap-1420	345	8	.	.	PUNCT
ap-1420	346	1	[	[	X
ap-1420	346	2	13	13	NUM
ap-1420	346	3	]	]	SYM
ap-1420	346	4	znojil	znojil	NOUN
ap-1420	346	5	,	,	PUNCT
ap-1420	346	6	m.	m.	NOUN
ap-1420	346	7	:	:	PUNCT
ap-1420	346	8	coupled	couple	VERB
ap-1420	346	9	-	-	PUNCT
ap-1420	346	10	channel	channel	NOUN
ap-1420	346	11	version	version	NOUN
ap-1420	346	12	of	of	ADP
ap-1420	346	13	ptsymmetric	ptsymmetric	ADJ
ap-1420	346	14	square	square	PROPN
ap-1420	346	15	well	well	ADV
ap-1420	346	16	,	,	PUNCT
ap-1420	346	17	j.	j.	PROPN
ap-1420	346	18	phys	phys	PROPN
ap-1420	346	19	.	.	PUNCT
ap-1420	347	1	a	a	DET
ap-1420	347	2	:	:	PUNCT
ap-1420	347	3	math	math	NOUN
ap-1420	347	4	.	.	PUNCT
ap-1420	348	1	gen	gen	PROPN
ap-1420	348	2	.	.	PROPN
ap-1420	348	3	vol	vol	NOUN
ap-1420	348	4	.	.	PROPN
ap-1420	349	1	39	39	NUM
ap-1420	349	2	(	(	PUNCT
ap-1420	349	3	2006	2006	NUM
ap-1420	349	4	)	)	PUNCT
ap-1420	349	5	,	,	PUNCT
ap-1420	350	1	p.	p.	NOUN
ap-1420	350	2	441–455	441–455	NUM
ap-1420	350	3	.	.	PUNCT
ap-1420	351	1	[	[	X
ap-1420	351	2	14	14	NUM
ap-1420	351	3	]	]	X
ap-1420	351	4	langer	langer	PROPN
ap-1420	351	5	,	,	PUNCT
ap-1420	351	6	h.	h.	PROPN
ap-1420	351	7	,	,	PUNCT
ap-1420	351	8	tretter	tretter	PROPN
ap-1420	351	9	,	,	PUNCT
ap-1420	351	10	ch	ch	NOUN
ap-1420	351	11	.	.	PUNCT
ap-1420	351	12	:	:	PUNCT
ap-1420	351	13	a	a	DET
ap-1420	351	14	krein	krein	ADJ
ap-1420	351	15	space	space	NOUN
ap-1420	351	16	approach	approach	NOUN
ap-1420	351	17	to	to	ADP
ap-1420	351	18	pt	pt	NOUN
ap-1420	351	19	-	-	PUNCT
ap-1420	351	20	symmetry	symmetry	NOUN
ap-1420	351	21	,	,	PUNCT
ap-1420	351	22	czech	czech	PROPN
ap-1420	351	23	.	.	PUNCT
ap-1420	352	1	j.	j.	PROPN
ap-1420	352	2	phys	phys	PROPN
ap-1420	352	3	.	.	PUNCT
ap-1420	353	1	vol	vol	NOUN
ap-1420	353	2	.	.	PUNCT
ap-1420	354	1	54	54	NUM
ap-1420	354	2	(	(	PUNCT
ap-1420	354	3	2004	2004	NUM
ap-1420	354	4	)	)	PUNCT
ap-1420	354	5	,	,	PUNCT
ap-1420	355	1	p.	p.	NOUN
ap-1420	355	2	1	1	NUM
ap-1420	355	3	113	113	NUM
ap-1420	355	4	.	.	PUNCT
ap-1420	356	1	[	[	X
ap-1420	356	2	15	15	NUM
ap-1420	356	3	]	]	X
ap-1420	356	4	caliceti	caliceti	PROPN
ap-1420	356	5	,	,	PUNCT
ap-1420	356	6	e.	e.	PROPN
ap-1420	356	7	,	,	PUNCT
ap-1420	356	8	graffi	graffi	PROPN
ap-1420	356	9	,	,	PUNCT
ap-1420	356	10	s.	s.	PROPN
ap-1420	356	11	,	,	PUNCT
ap-1420	356	12	maioli	maioli	NOUN
ap-1420	356	13	,	,	PUNCT
ap-1420	356	14	m.	m.	NOUN
ap-1420	356	15	:	:	PUNCT
ap-1420	356	16	perturbation	perturbation	NOUN
ap-1420	356	17	theory	theory	NOUN
ap-1420	356	18	of	of	ADP
ap-1420	356	19	odd	odd	ADJ
ap-1420	356	20	anharmonic	anharmonic	ADJ
ap-1420	356	21	oscillators	oscillator	NOUN
ap-1420	356	22	,	,	PUNCT
ap-1420	356	23	commun	commun	PROPN
ap-1420	356	24	.	.	PUNCT
ap-1420	356	25	math	math	NOUN
ap-1420	356	26	.	.	PUNCT
ap-1420	357	1	phys	phy	NOUN
ap-1420	357	2	.	.	PUNCT
ap-1420	358	1	75	75	NUM
ap-1420	358	2	(	(	PUNCT
ap-1420	358	3	1980	1980	NUM
ap-1420	358	4	)	)	PUNCT
ap-1420	358	5	,	,	PUNCT
ap-1420	358	6	p.	p.	NOUN
ap-1420	358	7	51–66	51–66	NUM
ap-1420	358	8	.	.	PUNCT
ap-1420	359	1	fernández	fernández	PROPN
ap-1420	359	2	,	,	PUNCT
ap-1420	359	3	f.	f.	PROPN
ap-1420	359	4	m.	m.	PROPN
ap-1420	359	5	,	,	PUNCT
ap-1420	359	6	guardiola	guardiola	PROPN
ap-1420	359	7	,	,	PUNCT
ap-1420	359	8	r.	r.	PROPN
ap-1420	359	9	,	,	PUNCT
ap-1420	359	10	ros	ros	PROPN
ap-1420	359	11	,	,	PUNCT
ap-1420	359	12	j.	j.	PROPN
ap-1420	359	13	,	,	PUNCT
ap-1420	359	14	znojil	znojil	PROPN
ap-1420	359	15	,	,	PUNCT
ap-1420	359	16	m.	m.	NOUN
ap-1420	359	17	:	:	PUNCT
ap-1420	359	18	strong	strong	ADJ
ap-1420	359	19	-	-	PUNCT
ap-1420	359	20	coupling	couple	VERB
ap-1420	359	21	expansions	expansion	NOUN
ap-1420	359	22	for	for	ADP
ap-1420	359	23	the	the	DET
ap-1420	359	24	ptsymmetric	ptsymmetric	ADJ
ap-1420	359	25	oscillators	oscillator	NOUN
ap-1420	359	26	v	v	ADP
ap-1420	359	27	(	(	PUNCT
ap-1420	359	28	r	r	NOUN
ap-1420	359	29	)	)	PUNCT
ap-1420	359	30	=	=	SYM
ap-1420	359	31	aix	aix	NOUN
ap-1420	359	32	+	+	NUM
ap-1420	359	33	b(ix)2	b(ix)2	PROPN
ap-1420	359	34	+	+	CCONJ
ap-1420	359	35	c(ix)3	c(ix)3	PROPN
ap-1420	359	36	,	,	PUNCT
ap-1420	359	37	j.	j.	PROPN
ap-1420	359	38	phys	phys	PROPN
ap-1420	359	39	.	.	PUNCT
ap-1420	360	1	a	a	DET
ap-1420	360	2	:	:	PUNCT
ap-1420	360	3	math	math	NOUN
ap-1420	360	4	.	.	PUNCT
ap-1420	361	1	gen	gen	PROPN
ap-1420	361	2	.	.	PROPN
ap-1420	361	3	vol	vol	NOUN
ap-1420	361	4	.	.	PROPN
ap-1420	361	5	31	31	NUM
ap-1420	361	6	(	(	PUNCT
ap-1420	361	7	1998	1998	NUM
ap-1420	361	8	)	)	PUNCT
ap-1420	361	9	,	,	PUNCT
ap-1420	362	1	p.	p.	NOUN
ap-1420	362	2	10	10	NUM
ap-1420	362	3	105–10112	105–10112	NUM
ap-1420	362	4	.	.	PUNCT
ap-1420	363	1	[	[	X
ap-1420	363	2	16	16	NUM
ap-1420	363	3	]	]	X
ap-1420	363	4	znojil	znojil	NOUN
ap-1420	363	5	,	,	PUNCT
ap-1420	363	6	m.	m.	NOUN
ap-1420	363	7	:	:	PUNCT
ap-1420	363	8	maximal	maximal	ADJ
ap-1420	363	9	couplings	coupling	NOUN
ap-1420	363	10	in	in	ADP
ap-1420	363	11	pt	pt	ADJ
ap-1420	363	12	-	-	ADJ
ap-1420	363	13	symmetric	symmetric	ADJ
ap-1420	363	14	chain	chain	NOUN
ap-1420	363	15	-	-	PUNCT
ap-1420	363	16	models	model	NOUN
ap-1420	363	17	with	with	ADP
ap-1420	363	18	the	the	DET
ap-1420	363	19	real	real	ADJ
ap-1420	363	20	spectrum	spectrum	NOUN
ap-1420	363	21	of	of	ADP
ap-1420	363	22	energies	energy	NOUN
ap-1420	363	23	,	,	PUNCT
ap-1420	363	24	j.	j.	PROPN
ap-1420	363	25	phys	phys	PROPN
ap-1420	363	26	.	.	PUNCT
ap-1420	364	1	a	a	DET
ap-1420	364	2	:	:	PUNCT
ap-1420	364	3	math	math	NOUN
ap-1420	364	4	.	.	PUNCT
ap-1420	365	1	theor	theor	PROPN
ap-1420	365	2	.	.	PUNCT
ap-1420	366	1	vol	vol	NOUN
ap-1420	366	2	.	.	PROPN
ap-1420	367	1	40	40	NUM
ap-1420	367	2	(	(	PUNCT
ap-1420	367	3	2007	2007	NUM
ap-1420	367	4	)	)	PUNCT
ap-1420	367	5	,	,	PUNCT
ap-1420	367	6	p.	p.	NOUN
ap-1420	367	7	4	4	NUM
ap-1420	367	8	863–4	863–4	NUM
ap-1420	367	9	875	875	NUM
ap-1420	367	10	.	.	PUNCT
ap-1420	368	1	[	[	X
ap-1420	368	2	17	17	NUM
ap-1420	368	3	]	]	X
ap-1420	368	4	znojil	znojil	NOUN
ap-1420	368	5	,	,	PUNCT
ap-1420	368	6	m.	m.	NOUN
ap-1420	368	7	:	:	PUNCT
ap-1420	368	8	determination	determination	NOUN
ap-1420	368	9	of	of	ADP
ap-1420	368	10	the	the	DET
ap-1420	368	11	domain	domain	NOUN
ap-1420	368	12	of	of	ADP
ap-1420	368	13	the	the	DET
ap-1420	368	14	admissible	admissible	ADJ
ap-1420	368	15	matrix	matrix	NOUN
ap-1420	368	16	elements	element	NOUN
ap-1420	368	17	in	in	ADP
ap-1420	368	18	the	the	DET
ap-1420	368	19	fourdimensional	fourdimensional	ADJ
ap-1420	368	20	pt	pt	ADJ
ap-1420	368	21	-	-	PUNCT
ap-1420	368	22	symmetric	symmetric	ADJ
ap-1420	368	23	anharmonic	anharmonic	ADJ
ap-1420	368	24	model	model	NOUN
ap-1420	368	25	,	,	PUNCT
ap-1420	368	26	phys	phy	NOUN
ap-1420	368	27	.	.	PUNCT
ap-1420	369	1	lett	lett	PROPN
ap-1420	369	2	.	.	PUNCT
ap-1420	370	1	a	a	DET
ap-1420	370	2	vol	vol	NOUN
ap-1420	370	3	.	.	PUNCT
ap-1420	371	1	367	367	NUM
ap-1420	371	2	(	(	PUNCT
ap-1420	371	3	2007	2007	NUM
ap-1420	371	4	)	)	PUNCT
ap-1420	371	5	,	,	PUNCT
ap-1420	371	6	p.	p.	NOUN
ap-1420	371	7	300–306	300–306	NUM
ap-1420	371	8	.	.	PUNCT
ap-1420	372	1	112	112	NUM
ap-1420	372	2	acta	acta	PROPN
ap-1420	372	3	polytechnica	polytechnica	PROPN
ap-1420	372	4	vol	vol	NOUN
ap-1420	372	5	.	.	PUNCT
ap-1420	373	1	51	51	NUM
ap-1420	373	2	no	no	INTJ
ap-1420	373	3	.	.	PUNCT
ap-1420	373	4	4/2011	4/2011	NUM
ap-1420	374	1	[	[	X
ap-1420	374	2	18	18	NUM
ap-1420	374	3	]	]	X
ap-1420	374	4	scholtz	scholtz	PROPN
ap-1420	374	5	,	,	PUNCT
ap-1420	374	6	f.	f.	PROPN
ap-1420	374	7	g.	g.	PROPN
ap-1420	374	8	,	,	PUNCT
ap-1420	374	9	geyer	geyer	PROPN
ap-1420	374	10	,	,	PUNCT
ap-1420	374	11	h.	h.	PROPN
ap-1420	374	12	b.	b.	PROPN
ap-1420	374	13	,	,	PUNCT
ap-1420	374	14	hahne	hahne	PROPN
ap-1420	374	15	,	,	PUNCT
ap-1420	374	16	f.	f.	PROPN
ap-1420	374	17	j.	j.	PROPN
ap-1420	374	18	w.	w.	PROPN
ap-1420	374	19	:	:	PUNCT
ap-1420	374	20	quasi	quasi	ADJ
ap-1420	374	21	-	-	ADJ
ap-1420	374	22	hermitian	hermitian	ADJ
ap-1420	374	23	operators	operator	NOUN
ap-1420	374	24	in	in	ADP
ap-1420	374	25	quantum	quantum	ADJ
ap-1420	374	26	mechanics	mechanic	NOUN
ap-1420	374	27	and	and	CCONJ
ap-1420	374	28	the	the	DET
ap-1420	374	29	variational	variational	ADJ
ap-1420	374	30	principle	principle	NOUN
ap-1420	374	31	,	,	PUNCT
ap-1420	374	32	ann	ann	PROPN
ap-1420	374	33	.	.	PUNCT
ap-1420	375	1	phys	phys	PROPN
ap-1420	375	2	.	.	PUNCT
ap-1420	376	1	vol	vol	NOUN
ap-1420	376	2	.	.	PROPN
ap-1420	377	1	213	213	NUM
ap-1420	377	2	(	(	PUNCT
ap-1420	377	3	1992	1992	NUM
ap-1420	377	4	)	)	PUNCT
ap-1420	377	5	,	,	PUNCT
ap-1420	377	6	p.	p.	NOUN
ap-1420	377	7	74–101	74–101	NUM
ap-1420	377	8	.	.	PUNCT
ap-1420	378	1	[	[	X
ap-1420	378	2	19	19	NUM
ap-1420	378	3	]	]	PUNCT
ap-1420	378	4	nagy	nagy	NOUN
ap-1420	378	5	,	,	PUNCT
ap-1420	378	6	k.	k.	PROPN
ap-1420	378	7	l.	l.	PROPN
ap-1420	378	8	:	:	PUNCT
ap-1420	378	9	state	state	NOUN
ap-1420	378	10	vector	vector	NOUN
ap-1420	378	11	spaces	space	NOUN
ap-1420	378	12	with	with	ADP
ap-1420	378	13	indefinite	indefinite	ADJ
ap-1420	378	14	metric	metric	ADJ
ap-1420	378	15	in	in	ADP
ap-1420	378	16	quantum	quantum	ADJ
ap-1420	378	17	field	field	NOUN
ap-1420	378	18	theory	theory	NOUN
ap-1420	378	19	.	.	PUNCT
ap-1420	379	1	budapest	budapest	PROPN
ap-1420	379	2	:	:	PUNCT
ap-1420	379	3	akademiai	akademiai	PROPN
ap-1420	379	4	kiado	kiado	PROPN
ap-1420	379	5	,	,	PUNCT
ap-1420	379	6	1966	1966	NUM
ap-1420	379	7	.	.	PUNCT
ap-1420	380	1	gohberg	gohberg	PROPN
ap-1420	380	2	,	,	PUNCT
ap-1420	380	3	i.	i.	PROPN
ap-1420	380	4	c.	c.	PROPN
ap-1420	380	5	,	,	PUNCT
ap-1420	380	6	krein	krein	PROPN
ap-1420	380	7	,	,	PUNCT
ap-1420	380	8	m.	m.	NOUN
ap-1420	380	9	g.	g.	PROPN
ap-1420	380	10	:	:	PUNCT
ap-1420	380	11	introduction	introduction	NOUN
ap-1420	380	12	to	to	ADP
ap-1420	380	13	the	the	DET
ap-1420	380	14	theory	theory	NOUN
ap-1420	380	15	of	of	ADP
ap-1420	380	16	linear	linear	PROPN
ap-1420	380	17	nonselfadjoint	nonselfadjoint	NOUN
ap-1420	380	18	operators	operator	NOUN
ap-1420	380	19	.	.	PUNCT
ap-1420	381	1	providence	providence	NOUN
ap-1420	381	2	:	:	PUNCT
ap-1420	381	3	american	american	PROPN
ap-1420	381	4	mathematical	mathematical	PROPN
ap-1420	381	5	society	society	NOUN
ap-1420	381	6	,	,	PUNCT
ap-1420	381	7	1969	1969	NUM
ap-1420	381	8	.	.	PUNCT
ap-1420	382	1	miloslav	miloslav	NOUN
ap-1420	382	2	znojil	znojil	NOUN
ap-1420	382	3	e	e	NOUN
ap-1420	382	4	-	-	NOUN
ap-1420	382	5	mail	mail	NOUN
ap-1420	382	6	:	:	PUNCT
ap-1420	382	7	znojil@ujf.cas.cz	znojil@ujf.cas.cz	PROPN
ap-1420	382	8	nuclear	nuclear	PROPN
ap-1420	382	9	physics	physics	PROPN
ap-1420	382	10	institute	institute	PROPN
ap-1420	382	11	ascr	ascr	NOUN
ap-1420	382	12	250	250	NUM
ap-1420	382	13	68	68	NUM
ap-1420	382	14	řež	řež	NOUN
ap-1420	382	15	,	,	PUNCT
ap-1420	382	16	czech	czech	PROPN
ap-1420	382	17	republic	republic	NOUN
ap-1420	382	18	113	113	NUM