id	sid	tid	token	lemma	pos
ap-959	1	1	ap08_2.vp	ap08_2.vp	NOUN
ap-959	1	2	1	1	NUM
ap-959	1	3	lecture	lecture	NOUN
ap-959	1	4	1	1	NUM
ap-959	1	5	.	.	PUNCT
ap-959	2	1	these	these	DET
ap-959	2	2	lectures	lecture	NOUN
ap-959	2	3	are	be	AUX
ap-959	2	4	based	base	VERB
ap-959	2	5	on	on	ADP
ap-959	2	6	a	a	DET
ap-959	2	7	series	series	NOUN
ap-959	2	8	of	of	ADP
ap-959	2	9	papers	paper	NOUN
ap-959	2	10	written	write	VERB
ap-959	2	11	in	in	ADP
ap-959	2	12	collaboration	collaboration	NOUN
ap-959	2	13	with	with	ADP
ap-959	2	14	h.	h.	PROPN
ap-959	2	15	boos	boos	PROPN
ap-959	2	16	,	,	PUNCT
ap-959	2	17	m.	m.	NOUN
ap-959	2	18	jimbo	jimbo	PROPN
ap-959	2	19	,	,	PUNCT
ap-959	2	20	t.	t.	PROPN
ap-959	2	21	miwa	miwa	PROPN
ap-959	2	22	,	,	PUNCT
ap-959	2	23	y.	y.	PROPN
ap-959	2	24	takeyama	takeyama	NOUN
ap-959	3	1	[	[	X
ap-959	3	2	1	1	NUM
ap-959	3	3	,	,	PUNCT
ap-959	3	4	2	2	NUM
ap-959	3	5	,	,	PUNCT
ap-959	3	6	3	3	NUM
ap-959	3	7	,	,	PUNCT
ap-959	3	8	4	4	NUM
ap-959	3	9	,	,	PUNCT
ap-959	3	10	5	5	NUM
ap-959	3	11	,	,	PUNCT
ap-959	3	12	6	6	NUM
ap-959	3	13	,	,	PUNCT
ap-959	3	14	7	7	NUM
ap-959	3	15	,	,	PUNCT
ap-959	3	16	8	8	NUM
ap-959	3	17	]	]	PUNCT
ap-959	3	18	.	.	PUNCT
ap-959	4	1	consider	consider	VERB
ap-959	4	2	the	the	DET
ap-959	4	3	infinite	infinite	ADJ
ap-959	4	4	xxz	xxz	NOUN
ap-959	4	5	spin	spin	NOUN
ap-959	4	6	chain	chain	NOUN
ap-959	4	7	with	with	ADP
ap-959	4	8	the	the	DET
ap-959	4	9	hamiltonian	hamiltonian	ADJ
ap-959	4	10	h	h	NOUN
ap-959	5	1	k	k	PROPN
ap-959	6	1	k	k	PROPN
ap-959	7	1	k	k	PROPN
ap-959	7	2	k	k	PROPN
ap-959	7	3	k	k	PROPN
ap-959	7	4	k	k	PROPN
ap-959	7	5	k	k	PROPN
ap-959	7	6	xxz	xxz	PROPN
ap-959	7	7	�	�	PROPN
ap-959	7	8	�	�	PROPN
ap-959	7	9	�	�	PROPN
ap-959	7	10	�	�	PROPN
ap-959	7	11	�	�	PROPN
ap-959	7	12	�	�	PROPN
ap-959	7	13	�	�	PROPN
ap-959	7	14	�	�	PROPN
ap-959	7	15	�	�	PROPN
ap-959	7	16	�	�	PROPN
ap-959	7	17	�	�	PROPN
ap-959	7	18	�	�	PROPN
ap-959	7	19	1	1	NUM
ap-959	7	20	2	2	NUM
ap-959	7	21	11	11	NUM
ap-959	7	22	1	1	NUM
ap-959	7	23	1	1	NUM
ap-959	7	24	2	2	NUM
ap-959	7	25	1	1	NUM
ap-959	7	26	2	2	NUM
ap-959	7	27	3	3	NUM
ap-959	7	28	1	1	NUM
ap-959	7	29	3	3	NUM
ap-959	7	30	(	(	PUNCT
ap-959	7	31	(	(	PUNCT
ap-959	7	32	)	)	PUNCT
ap-959	7	33	)	)	PUNCT
ap-959	7	34	�	�	PROPN
ap-959	7	35	�	�	PROPN
ap-959	7	36	�	�	PROPN
ap-959	7	37	�	�	PROPN
ap-959	7	38	�	�	PROPN
ap-959	7	39	�	�	PROPN
ap-959	7	40	�	�	PROPN
ap-959	7	41	,	,	PUNCT
ap-959	7	42	where	where	SCONJ
ap-959	7	43	�	�	VERB
ap-959	7	44	a	a	PRON
ap-959	7	45	a	a	X
ap-959	7	46	(	(	PUNCT
ap-959	7	47	,	,	PUNCT
ap-959	7	48	,	,	PUNCT
ap-959	7	49	)	)	PUNCT
ap-959	7	50	�	�	PROPN
ap-959	7	51	1	1	NUM
ap-959	7	52	2	2	NUM
ap-959	7	53	3	3	NUM
ap-959	7	54	are	be	AUX
ap-959	7	55	pauli	pauli	NOUN
ap-959	7	56	matrices	matrix	NOUN
ap-959	7	57	and	and	CCONJ
ap-959	7	58	�	�	PROPN
ap-959	7	59	�	�	PROPN
ap-959	7	60	cos	cos	PROPN
ap-959	7	61	�	�	PROPN
ap-959	7	62	�	�	PROPN
ap-959	7	63	.	.	PUNCT
ap-959	8	1	i	i	PRON
ap-959	8	2	shall	shall	AUX
ap-959	8	3	consider	consider	VERB
ap-959	8	4	the	the	DET
ap-959	8	5	case	case	NOUN
ap-959	8	6	�	�	PROPN
ap-959	8	7	�	�	PROPN
ap-959	8	8	1	1	NUM
ap-959	8	9	,	,	PUNCT
ap-959	8	10	so	so	ADV
ap-959	8	11	,	,	PUNCT
ap-959	8	12	�	�	PROPN
ap-959	8	13	is	be	AUX
ap-959	8	14	real	real	ADJ
ap-959	8	15	:	:	PUNCT
ap-959	8	16	0	0	NUM
ap-959	8	17	1	1	NUM
ap-959	8	18	�	�	PROPN
ap-959	8	19	�	�	PROPN
ap-959	8	20	�	�	PROPN
ap-959	8	21	.	.	PUNCT
ap-959	9	1	i	i	PRON
ap-959	9	2	also	also	ADV
ap-959	9	3	use	use	VERB
ap-959	9	4	the	the	DET
ap-959	9	5	notation	notation	NOUN
ap-959	9	6	q	q	PROPN
ap-959	9	7	e	e	PROPN
ap-959	9	8	i	i	PROPN
ap-959	9	9	�	�	PROPN
ap-959	9	10	�	�	PROPN
ap-959	9	11	�	�	PROPN
ap-959	9	12	the	the	DET
ap-959	9	13	ground	ground	NOUN
ap-959	9	14	state	state	NOUN
ap-959	9	15	of	of	ADP
ap-959	9	16	the	the	DET
ap-959	9	17	hamiltonian	hamiltonian	NOUN
ap-959	9	18	will	will	AUX
ap-959	9	19	be	be	AUX
ap-959	9	20	denoted	denote	VERB
ap-959	9	21	by	by	ADP
ap-959	9	22	vac	vac	NOUN
ap-959	9	23	.	.	PUNCT
ap-959	10	1	i	i	PRON
ap-959	10	2	shall	shall	AUX
ap-959	10	3	later	later	ADV
ap-959	10	4	briefly	briefly	ADV
ap-959	10	5	explain	explain	VERB
ap-959	10	6	how	how	SCONJ
ap-959	10	7	this	this	DET
ap-959	10	8	vector	vector	NOUN
ap-959	10	9	is	be	AUX
ap-959	10	10	found	find	VERB
ap-959	10	11	,	,	PUNCT
ap-959	10	12	but	but	CCONJ
ap-959	10	13	now	now	ADV
ap-959	10	14	let	let	VERB
ap-959	10	15	me	i	PRON
ap-959	10	16	formulate	formulate	VERB
ap-959	10	17	the	the	DET
ap-959	10	18	main	main	ADJ
ap-959	10	19	problem	problem	NOUN
ap-959	10	20	.	.	PUNCT
ap-959	11	1	introduce	introduce	VERB
ap-959	11	2	s	s	VERB
ap-959	11	3	k	k	PROPN
ap-959	11	4	j	j	PROPN
ap-959	11	5	j	j	PROPN
ap-959	11	6	k	k	PROPN
ap-959	11	7	(	(	PUNCT
ap-959	11	8	)	)	PUNCT
ap-959	11	9	�	�	PROPN
ap-959	11	10	�	�	PROPN
ap-959	11	11	�	�	PROPN
ap-959	11	12	�	�	PROPN
ap-959	11	13	�	�	PROPN
ap-959	11	14	1	1	NUM
ap-959	11	15	2	2	NUM
ap-959	11	16	3	3	NUM
ap-959	11	17	�	�	PROPN
ap-959	11	18	and	and	CCONJ
ap-959	11	19	let	let	VERB
ap-959	11	20	�	�	PROPN
ap-959	11	21	be	be	AUX
ap-959	11	22	a	a	DET
ap-959	11	23	parameter	parameter	NOUN
ap-959	11	24	.	.	PUNCT
ap-959	12	1	we	we	PRON
ap-959	12	2	consider	consider	VERB
ap-959	12	3	the	the	DET
ap-959	12	4	normalized	normalized	ADJ
ap-959	12	5	vacuum	vacuum	NOUN
ap-959	12	6	expectation	expectation	NOUN
ap-959	12	7	values	value	NOUN
ap-959	12	8	:	:	PUNCT
ap-959	12	9	vac	vac	NOUN
ap-959	12	10	vac	vac	NOUN
ap-959	12	11	vac	vac	NOUN
ap-959	12	12	vac	vac	NOUN
ap-959	12	13	q	q	NOUN
ap-959	12	14	q	q	X
ap-959	12	15	s	s	X
ap-959	12	16	s	s	NOUN
ap-959	12	17	2	2	NUM
ap-959	12	18	0	0	NUM
ap-959	12	19	2	2	NUM
ap-959	12	20	0	0	NUM
ap-959	12	21	�	�	PROPN
ap-959	12	22	�	�	PROPN
ap-959	12	23	(	(	PUNCT
ap-959	12	24	)	)	PUNCT
ap-959	12	25	(	(	PUNCT
ap-959	12	26	)	)	PUNCT
ap-959	12	27	�	�	PROPN
ap-959	12	28	,	,	PUNCT
ap-959	12	29	where	where	SCONJ
ap-959	12	30	�	�	PROPN
ap-959	12	31	is	be	AUX
ap-959	12	32	a	a	DET
ap-959	12	33	local	local	ADJ
ap-959	12	34	operator	operator	NOUN
ap-959	12	35	.	.	PUNCT
ap-959	13	1	the	the	DET
ap-959	13	2	locality	locality	NOUN
ap-959	13	3	of	of	ADP
ap-959	13	4	�	�	PROPN
ap-959	13	5	implies	imply	VERB
ap-959	13	6	that	that	SCONJ
ap-959	13	7	the	the	DET
ap-959	13	8	operator	operator	NOUN
ap-959	13	9	q	q	PROPN
ap-959	13	10	s2	s2	PROPN
ap-959	13	11	0	0	NUM
ap-959	13	12	�	�	PROPN
ap-959	13	13	(	(	PUNCT
ap-959	13	14	)	)	PUNCT
ap-959	13	15	�	�	PROPN
ap-959	13	16	stabilizes	stabilize	VERB
ap-959	13	17	:	:	PUNCT
ap-959	13	18	there	there	PRON
ap-959	13	19	exist	exist	VERB
ap-959	13	20	integers	integer	NOUN
ap-959	13	21	k	k	NOUN
ap-959	13	22	,	,	PUNCT
ap-959	13	23	l	l	NOUN
ap-959	13	24	such	such	ADJ
ap-959	13	25	that	that	PRON
ap-959	13	26	for	for	ADP
ap-959	13	27	all	all	DET
ap-959	13	28	j	j	NOUN
ap-959	13	29	l	l	NOUN
ap-959	13	30	(	(	PUNCT
ap-959	13	31	resp	resp	NOUN
ap-959	13	32	.	.	PUNCT
ap-959	14	1	j	j	PROPN
ap-959	15	1	k	k	X
ap-959	15	2	�	�	PROPN
ap-959	15	3	)	)	PUNCT
ap-959	15	4	this	this	DET
ap-959	15	5	operator	operator	NOUN
ap-959	15	6	acts	act	VERB
ap-959	15	7	on	on	ADP
ap-959	15	8	the	the	DET
ap-959	15	9	j	j	PROPN
ap-959	15	10	-	-	PUNCT
ap-959	15	11	th	th	VERB
ap-959	15	12	lattice	lattice	NOUN
ap-959	15	13	site	site	NOUN
ap-959	15	14	as	as	ADP
ap-959	15	15	1	1	NUM
ap-959	15	16	(	(	PUNCT
ap-959	15	17	resp	resp	NOUN
ap-959	15	18	.	.	PUNCT
ap-959	16	1	q	q	X
ap-959	16	2	�	�	X
ap-959	16	3	�	�	PROPN
ap-959	16	4	3	3	NUM
ap-959	16	5	)	)	PUNCT
ap-959	16	6	.	.	PUNCT
ap-959	17	1	if	if	SCONJ
ap-959	17	2	k	k	PROPN
ap-959	17	3	(	(	PUNCT
ap-959	17	4	resp	resp	NOUN
ap-959	17	5	.	.	PUNCT
ap-959	17	6	l	l	NOUN
ap-959	17	7	)	)	PUNCT
ap-959	17	8	is	be	AUX
ap-959	17	9	the	the	DET
ap-959	17	10	maximal	maximal	ADJ
ap-959	17	11	(	(	PUNCT
ap-959	17	12	resp	resp	NOUN
ap-959	17	13	.	.	PUNCT
ap-959	18	1	minimal	minimal	ADJ
ap-959	18	2	)	)	PUNCT
ap-959	18	3	integer	integer	NOUN
ap-959	18	4	with	with	ADP
ap-959	18	5	this	this	DET
ap-959	18	6	property	property	NOUN
ap-959	18	7	,	,	PUNCT
ap-959	18	8	l	l	PROPN
ap-959	18	9	k	k	X
ap-959	18	10	�	�	PROPN
ap-959	18	11	�	�	PROPN
ap-959	18	12	1will	1will	PROPN
ap-959	18	13	be	be	AUX
ap-959	18	14	called	call	VERB
ap-959	18	15	the	the	DET
ap-959	18	16	length	length	NOUN
ap-959	18	17	of	of	ADP
ap-959	18	18	the	the	DET
ap-959	18	19	operator	operator	NOUN
ap-959	18	20	q	q	PROPN
ap-959	18	21	s2	s2	PROPN
ap-959	18	22	0	0	NUM
ap-959	18	23	�	�	PROPN
ap-959	18	24	(	(	PUNCT
ap-959	18	25	)	)	PUNCT
ap-959	18	26	�	�	PROPN
ap-959	18	27	and	and	CCONJ
ap-959	18	28	denoted	denote	VERB
ap-959	18	29	by	by	ADP
ap-959	18	30	lenght	lenght	ADJ
ap-959	18	31	�	�	PROPN
ap-959	18	32	q	q	PROPN
ap-959	18	33	s2	s2	PROPN
ap-959	18	34	0	0	NUM
ap-959	18	35	�	�	PROPN
ap-959	18	36	(	(	PUNCT
ap-959	18	37	)	)	PUNCT
ap-959	18	38	�	�	PROPN
ap-959	18	39	.	.	PUNCT
ap-959	19	1	let	let	VERB
ap-959	19	2	me	i	PRON
ap-959	19	3	start	start	VERB
ap-959	19	4	with	with	ADP
ap-959	19	5	the	the	DET
ap-959	19	6	free	free	ADJ
ap-959	19	7	fermion	fermion	NOUN
ap-959	19	8	case	case	NOUN
ap-959	19	9	�	�	PROPN
ap-959	19	10	�	�	PROPN
ap-959	19	11	0	0	PROPN
ap-959	19	12	(	(	PUNCT
ap-959	19	13	q	q	NOUN
ap-959	19	14	i	i	PRON
ap-959	19	15	�	�	PROPN
ap-959	19	16	)	)	PUNCT
ap-959	19	17	.	.	PUNCT
ap-959	20	1	in	in	ADP
ap-959	20	2	this	this	DET
ap-959	20	3	case	case	NOUN
ap-959	20	4	we	we	PRON
ap-959	20	5	have	have	VERB
ap-959	20	6	hxx	hxx	PROPN
ap-959	20	7	k	k	PROPN
ap-959	20	8	k	k	PROPN
ap-959	20	9	k	k	PROPN
ap-959	20	10	k	k	PROPN
ap-959	20	11	k	k	PROPN
ap-959	20	12	�	�	PROPN
ap-959	20	13	�	�	PROPN
ap-959	20	14	�	�	PROPN
ap-959	20	15	�	�	PROPN
ap-959	20	16	�	�	PROPN
ap-959	20	17	�	�	PROPN
ap-959	20	18	�	�	PROPN
ap-959	20	19	�	�	PROPN
ap-959	20	20	�	�	PROPN
ap-959	20	21	1	1	NUM
ap-959	20	22	2	2	NUM
ap-959	20	23	1	1	NUM
ap-959	20	24	1	1	NUM
ap-959	20	25	1	1	NUM
ap-959	20	26	2	2	NUM
ap-959	20	27	1	1	NUM
ap-959	20	28	2	2	NUM
ap-959	20	29	(	(	PUNCT
ap-959	20	30	)	)	PUNCT
ap-959	20	31	�	�	PROPN
ap-959	20	32	�	�	PROPN
ap-959	20	33	�	�	PROPN
ap-959	20	34	�	�	PROPN
ap-959	20	35	.	.	PUNCT
ap-959	21	1	in	in	ADP
ap-959	21	2	this	this	DET
ap-959	21	3	case	case	NOUN
ap-959	21	4	the	the	DET
ap-959	21	5	model	model	NOUN
ap-959	21	6	can	can	AUX
ap-959	21	7	be	be	AUX
ap-959	21	8	easily	easily	ADV
ap-959	21	9	solved	solve	VERB
ap-959	21	10	by	by	ADP
ap-959	21	11	introducing	introduce	VERB
ap-959	21	12	the	the	DET
ap-959	21	13	fermions	fermion	NOUN
ap-959	21	14	:	:	PUNCT
ap-959	21	15	�	�	PROPN
ap-959	21	16	�	�	PROPN
ap-959	21	17	�	�	PROPN
ap-959	21	18	k	k	PROPN
ap-959	21	19	k	k	PROPN
ap-959	21	20	is	be	AUX
ap-959	21	21	ke	ke	PROPN
ap-959	21	22	�	�	PROPN
ap-959	21	23	�	�	PROPN
ap-959	21	24	�	�	PROPN
ap-959	21	25	�	�	PROPN
ap-959	21	26	�	�	PROPN
ap-959	21	27	(	(	PUNCT
ap-959	21	28	)	)	PUNCT
ap-959	21	29	1	1	NUM
ap-959	21	30	,	,	PUNCT
ap-959	21	31	which	which	PRON
ap-959	21	32	satisfy	satisfy	VERB
ap-959	21	33	canonical	canonical	ADJ
ap-959	21	34	commutation	commutation	NOUN
ap-959	21	35	relations	relation	NOUN
ap-959	21	36	:	:	PUNCT
ap-959	21	37	[	[	PUNCT
ap-959	21	38	,	,	PUNCT
ap-959	21	39	]	]	PUNCT
ap-959	21	40	,	,	PUNCT
ap-959	21	41	,	,	PUNCT
ap-959	21	42	�	�	PROPN
ap-959	21	43	�	�	PROPN
ap-959	21	44	�	�	PROPN
ap-959	21	45	�	�	PROPN
ap-959	21	46	k	k	PROPN
ap-959	21	47	k	k	PROPN
ap-959	21	48	k	k	PROPN
ap-959	21	49	l	l	NOUN
ap-959	21	50	1	1	NUM
ap-959	21	51	2	2	NUM
ap-959	21	52	1	1	NUM
ap-959	21	53	2	2	NUM
ap-959	21	54	0	0	NUM
ap-959	21	55	�	�	PROPN
ap-959	21	56	�	�	PROPN
ap-959	21	57	�	�	PROPN
ap-959	21	58	.	.	PUNCT
ap-959	22	1	the	the	DET
ap-959	22	2	hamiltonian	hamiltonian	NOUN
ap-959	22	3	takes	take	VERB
ap-959	22	4	the	the	DET
ap-959	22	5	form	form	NOUN
ap-959	22	6	:	:	PUNCT
ap-959	22	7	h	h	PROPN
ap-959	22	8	ixx	ixx	PROPN
ap-959	23	1	k	k	PROPN
ap-959	23	2	k	k	PROPN
ap-959	23	3	k	k	PROPN
ap-959	23	4	k	k	PROPN
ap-959	23	5	k	k	PROPN
ap-959	23	6	�	�	PROPN
ap-959	23	7	�	�	PROPN
ap-959	23	8	�	�	PROPN
ap-959	23	9	�	�	PROPN
ap-959	23	10	�	�	PROPN
ap-959	23	11	�	�	PROPN
ap-959	23	12	�	�	PROPN
ap-959	23	13	�	�	PROPN
ap-959	23	14	�	�	PROPN
ap-959	23	15	�	�	PROPN
ap-959	23	16	�	�	PROPN
ap-959	23	17	�	�	PROPN
ap-959	23	18	�	�	PROPN
ap-959	23	19	(	(	PUNCT
ap-959	23	20	)	)	PUNCT
ap-959	23	21	�	�	PROPN
ap-959	23	22	�	�	PROPN
ap-959	23	23	�	�	PROPN
ap-959	23	24	�	�	PROPN
ap-959	23	25	1	1	NUM
ap-959	23	26	1	1	NUM
ap-959	23	27	.	.	PUNCT
ap-959	24	1	consider	consider	VERB
ap-959	24	2	a	a	DET
ap-959	24	3	finite	finite	ADJ
ap-959	24	4	chain	chain	NOUN
ap-959	24	5	of	of	ADP
ap-959	24	6	length	length	NOUN
ap-959	24	7	n	n	CCONJ
ap-959	24	8	with	with	ADP
ap-959	24	9	periodical	periodical	ADJ
ap-959	24	10	boundary	boundary	ADJ
ap-959	24	11	conditions	condition	NOUN
ap-959	24	12	(	(	PUNCT
ap-959	24	13	we	we	PRON
ap-959	24	14	assume	assume	VERB
ap-959	24	15	that	that	SCONJ
ap-959	24	16	n	n	PRON
ap-959	24	17	is	be	AUX
ap-959	24	18	even	even	ADV
ap-959	24	19	):	):	PUNCT
ap-959	24	20	h	h	PROPN
ap-959	24	21	ixx	ixx	PROPN
ap-959	25	1	n	n	INTJ
ap-959	25	2	k	k	PROPN
ap-959	25	3	k	k	PROPN
ap-959	25	4	k	k	PROPN
ap-959	25	5	k	k	PROPN
ap-959	25	6	k	k	PROPN
ap-959	25	7	n	n	CCONJ
ap-959	25	8	n	n	PROPN
ap-959	25	9	(	(	PUNCT
ap-959	25	10	)	)	PUNCT
ap-959	25	11	(	(	PUNCT
ap-959	25	12	)	)	PUNCT
ap-959	25	13	�	�	PROPN
ap-959	25	14	�	�	PROPN
ap-959	25	15	�	�	PROPN
ap-959	25	16	�	�	PROPN
ap-959	25	17	�	�	PROPN
ap-959	25	18	�	�	PROPN
ap-959	25	19	�	�	PROPN
ap-959	25	20	�	�	PROPN
ap-959	25	21	�	�	PROPN
ap-959	25	22	�	�	PROPN
ap-959	25	23	�	�	PROPN
ap-959	25	24	�	�	PROPN
ap-959	25	25	�	�	PROPN
ap-959	25	26	�	�	PROPN
ap-959	25	27	�	�	PROPN
ap-959	25	28	1	1	NUM
ap-959	25	29	1	1	NUM
ap-959	25	30	2	2	NUM
ap-959	25	31	2	2	NUM
ap-959	25	32	1	1	NUM
ap-959	25	33	,	,	PUNCT
ap-959	25	34	�	�	PROPN
ap-959	25	35	�	�	PROPN
ap-959	25	36	�	�	PROPN
ap-959	25	37	n	n	CCONJ
ap-959	25	38	s	s	PART
ap-959	25	39	ne	ne	NOUN
ap-959	25	40	i	i	PROPN
ap-959	25	41	2	2	NUM
ap-959	25	42	22	22	NUM
ap-959	25	43	�	�	PROPN
ap-959	25	44	�	�	PROPN
ap-959	25	45	�	�	PROPN
ap-959	25	46	�	�	PROPN
ap-959	25	47	�	�	PROPN
ap-959	25	48	,	,	PUNCT
ap-959	25	49	s	s	VERB
ap-959	25	50	is	be	AUX
ap-959	25	51	the	the	DET
ap-959	25	52	total	total	ADJ
ap-959	25	53	spin	spin	NOUN
ap-959	25	54	.	.	PUNCT
ap-959	26	1	introduce	introduce	VERB
ap-959	26	2	the	the	DET
ap-959	26	3	fourier	fourier	NOUN
ap-959	26	4	transform	transform	NOUN
ap-959	26	5	:	:	PUNCT
ap-959	26	6	�	�	PROPN
ap-959	26	7	�	�	PROPN
ap-959	26	8	�	�	PROPN
ap-959	26	9	�	�	PROPN
ap-959	26	10	�	�	PROPN
ap-959	26	11	�	�	PROPN
ap-959	26	12	�	�	PROPN
ap-959	26	13	�	�	PROPN
ap-959	26	14	�	�	PROPN
ap-959	26	15	�	�	PROPN
ap-959	26	16	�	�	PROPN
ap-959	26	17	�	�	PROPN
ap-959	26	18	�	�	PROPN
ap-959	26	19	�	�	PROPN
ap-959	26	20	�	�	PROPN
ap-959	26	21	�	�	PROPN
ap-959	26	22	�	�	PROPN
ap-959	26	23	�	�	PROPN
ap-959	26	24	(	(	PUNCT
ap-959	26	25	)	)	PUNCT
ap-959	26	26	1	1	NUM
ap-959	26	27	1	1	NUM
ap-959	26	28	1	1	NUM
ap-959	26	29	2	2	NUM
ap-959	26	30	2	2	NUM
ap-959	26	31	2	2	NUM
ap-959	26	32	2	2	NUM
ap-959	26	33	1	1	NUM
ap-959	26	34	n	n	NOUN
ap-959	26	35	k	k	NOUN
ap-959	26	36	k	k	PROPN
ap-959	26	37	k	k	PROPN
ap-959	26	38	n	n	CCONJ
ap-959	26	39	n	n	PROPN
ap-959	26	40	.	.	PUNCT
ap-959	27	1	i	i	PRON
ap-959	27	2	apologize	apologize	VERB
ap-959	27	3	for	for	ADP
ap-959	27	4	the	the	DET
ap-959	27	5	strange	strange	ADJ
ap-959	27	6	parametrization	parametrization	NOUN
ap-959	27	7	of	of	ADP
ap-959	27	8	the	the	DET
ap-959	27	9	momentum	momentum	NOUN
ap-959	27	10	,	,	PUNCT
ap-959	27	11	but	but	CCONJ
ap-959	27	12	it	it	PRON
ap-959	27	13	will	will	AUX
ap-959	27	14	be	be	AUX
ap-959	27	15	useful	useful	ADJ
ap-959	27	16	in	in	ADP
ap-959	27	17	the	the	DET
ap-959	27	18	generic	generic	ADJ
ap-959	27	19	case	case	NOUN
ap-959	27	20	.	.	PUNCT
ap-959	28	1	we	we	PRON
ap-959	28	2	have	have	VERB
ap-959	28	3	[	[	PUNCT
ap-959	28	4	(	(	PUNCT
ap-959	28	5	)	)	PUNCT
ap-959	28	6	,	,	PUNCT
ap-959	28	7	(	(	PUNCT
ap-959	28	8	)	)	PUNCT
ap-959	28	9	]	]	PUNCT
ap-959	28	10	,	,	PUNCT
ap-959	28	11	�	�	PROPN
ap-959	28	12	�	�	PROPN
ap-959	28	13	�	�	PROPN
ap-959	28	14	�	�	PROPN
ap-959	28	15	�	�	PROPN
ap-959	28	16	�	�	PROPN
ap-959	28	17	1	1	NUM
ap-959	28	18	2	2	NUM
ap-959	28	19	0	0	NUM
ap-959	28	20	[	[	PUNCT
ap-959	28	21	(	(	PUNCT
ap-959	28	22	)	)	PUNCT
ap-959	28	23	,	,	PUNCT
ap-959	28	24	(	(	PUNCT
ap-959	28	25	)	)	PUNCT
ap-959	28	26	]	]	X
ap-959	28	27	�	�	PROPN
ap-959	28	28	�	�	PROPN
ap-959	28	29	�	�	PROPN
ap-959	28	30	�	�	PROPN
ap-959	28	31	�	�	PROPN
ap-959	28	32	�	�	PROPN
ap-959	28	33	�	�	PROPN
ap-959	28	34	�	�	PROPN
ap-959	28	35	�	�	PROPN
ap-959	28	36	�	�	PROPN
ap-959	28	37	�	�	PROPN
ap-959	28	38	�	�	PROPN
ap-959	28	39	�	�	PROPN
ap-959	28	40	�	�	PROPN
ap-959	28	41	�	�	PROPN
ap-959	28	42	�	�	PROPN
ap-959	28	43	�	�	PROPN
ap-959	28	44	1	1	NUM
ap-959	28	45	2	2	NUM
ap-959	28	46	1	1	NUM
ap-959	28	47	2	2	NUM
ap-959	28	48	1	1	NUM
ap-959	28	49	2	2	NUM
ap-959	28	50	2	2	NUM
ap-959	28	51	2	2	NUM
ap-959	28	52	2	2	NUM
ap-959	28	53	2	2	NUM
ap-959	28	54	2	2	NUM
ap-959	28	55	1	1	NUM
ap-959	28	56	1	1	NUM
ap-959	28	57	1	1	NUM
ap-959	28	58	1	1	NUM
ap-959	28	59	1n	1n	NUM
ap-959	28	60	n	n	PRON
ap-959	28	61	�	�	PROPN
ap-959	28	62	�	�	PROPN
ap-959	28	63	�	�	PROPN
ap-959	28	64	�	�	PROPN
ap-959	28	65	�	�	PROPN
ap-959	28	66	�	�	PROPN
ap-959	28	67	�	�	PROPN
ap-959	28	68	�	�	PROPN
ap-959	28	69	�	�	PROPN
ap-959	28	70	�	�	PROPN
ap-959	28	71	�	�	PROPN
ap-959	28	72	�	�	PROPN
ap-959	28	73	�	�	PROPN
ap-959	28	74	�	�	PROPN
ap-959	28	75	�	�	PROPN
ap-959	28	76	�	�	PROPN
ap-959	28	77	�	�	PROPN
ap-959	28	78	�	�	PROPN
ap-959	28	79	�	�	PROPN
ap-959	28	80	�	�	PROPN
ap-959	28	81	�	�	PROPN
ap-959	28	82	�	�	PROPN
ap-959	28	83	�	�	PROPN
ap-959	28	84	�	�	PROPN
ap-959	28	85	�	�	PROPN
ap-959	28	86	�	�	PROPN
ap-959	28	87	�	�	PROPN
ap-959	28	88	n	n	CCONJ
ap-959	28	89	n	n	CCONJ
ap-959	28	90	n	n	ADV
ap-959	28	91	2	2	NUM
ap-959	28	92	1	1	NUM
ap-959	28	93	2	2	NUM
ap-959	28	94	1	1	NUM
ap-959	28	95	2	2	NUM
ap-959	28	96	2	2	NUM
ap-959	28	97	2	2	NUM
ap-959	28	98	2	2	NUM
ap-959	28	99	2	2	NUM
ap-959	28	100	1	1	NUM
ap-959	28	101	1	1	NUM
ap-959	28	102	1	1	NUM
ap-959	28	103	1	1	NUM
ap-959	28	104	1	1	NUM
ap-959	28	105	1	1	NUM
ap-959	28	106	1	1	NUM
ap-959	28	107	1	1	NUM
ap-959	28	108	1	1	NUM
ap-959	28	109	11	11	NUM
ap-959	28	110	2	2	NUM
ap-959	28	111	1	1	NUM
ap-959	28	112	2	2	NUM
ap-959	28	113	2	2	NUM
ap-959	28	114	2	2	NUM
ap-959	28	115	2	2	NUM
ap-959	28	116	2	2	NUM
ap-959	28	117	�	�	PROPN
ap-959	28	118	�	�	PROPN
ap-959	28	119	�	�	PROPN
ap-959	28	120	�	�	PROPN
ap-959	28	121	�	�	PROPN
ap-959	28	122	�	�	PROPN
ap-959	28	123	�	�	PROPN
ap-959	28	124	�	�	PROPN
ap-959	28	125	�	�	PROPN
ap-959	28	126	�	�	PROPN
ap-959	28	127	�	�	PROPN
ap-959	28	128	�	�	PROPN
ap-959	28	129	�	�	PROPN
ap-959	28	130	�	�	PROPN
ap-959	28	131	�	�	PROPN
ap-959	28	132	�	�	PROPN
ap-959	28	133	�	�	PROPN
ap-959	28	134	�	�	PROPN
ap-959	28	135	�	�	PROPN
ap-959	28	136	.	.	PUNCT
ap-959	29	1	so	so	ADV
ap-959	29	2	,	,	PUNCT
ap-959	29	3	introducing	introduce	VERB
ap-959	29	4	�	�	PROPN
ap-959	29	5	j	j	PROPN
ap-959	29	6	as	as	ADP
ap-959	29	7	solutions	solution	NOUN
ap-959	29	8	to	to	ADP
ap-959	29	9	1	1	NUM
ap-959	29	10	1	1	NUM
ap-959	29	11	2	2	NUM
ap-959	29	12	2	2	NUM
ap-959	29	13	2	2	NUM
ap-959	29	14	�	�	PROPN
ap-959	29	15	�	�	PROPN
ap-959	29	16	�	�	PROPN
ap-959	29	17	�	�	PROPN
ap-959	29	18	�	�	PROPN
ap-959	29	19	�	�	PROPN
ap-959	29	20	j	j	PROPN
ap-959	29	21	j	j	PROPN
ap-959	29	22	i	i	PRON
ap-959	29	23	n	n	VERB
ap-959	29	24	j	j	PROPN
ap-959	29	25	e	e	PROPN
ap-959	29	26	,	,	PUNCT
ap-959	29	27	j	j	PROPN
ap-959	29	28	n	n	CCONJ
ap-959	29	29	n	n	CCONJ
ap-959	29	30	�	�	PROPN
ap-959	29	31	�	�	PROPN
ap-959	29	32	�	�	PROPN
ap-959	29	33	2	2	NUM
ap-959	29	34	2	2	NUM
ap-959	29	35	1	1	NUM
ap-959	29	36	,	,	PUNCT
ap-959	29	37	,	,	PUNCT
ap-959	29	38	,	,	PUNCT
ap-959	29	39	�	�	PROPN
ap-959	29	40	we	we	PRON
ap-959	29	41	have	have	VERB
ap-959	29	42	:	:	PUNCT
ap-959	29	43	[	[	PUNCT
ap-959	29	44	(	(	PUNCT
ap-959	29	45	)	)	PUNCT
ap-959	29	46	,	,	PUNCT
ap-959	29	47	(	(	PUNCT
ap-959	29	48	)	)	PUNCT
ap-959	29	49	]	]	PUNCT
ap-959	29	50	,	,	PUNCT
ap-959	29	51	�	�	PROPN
ap-959	29	52	�	�	PROPN
ap-959	29	53	�	�	PROPN
ap-959	29	54	�	�	PROPN
ap-959	29	55	�	�	PROPN
ap-959	29	56	�	�	PROPN
ap-959	29	57	�	�	PROPN
ap-959	29	58	�	�	PROPN
ap-959	29	59	�	�	PROPN
ap-959	29	60	j	j	PROPN
ap-959	29	61	j	j	PROPN
ap-959	30	1	i	i	PRON
ap-959	30	2	j	j	PROPN
ap-959	30	3	.	.	PUNCT
ap-959	31	1	the	the	DET
ap-959	31	2	hamiltonian	hamiltonian	NOUN
ap-959	31	3	is	be	AUX
ap-959	31	4	easily	easily	ADV
ap-959	31	5	expressed	express	VERB
ap-959	31	6	in	in	ADP
ap-959	31	7	terms	term	NOUN
ap-959	31	8	of	of	ADP
ap-959	31	9	the	the	DET
ap-959	31	10	fourier	fourier	NOUN
ap-959	31	11	transform	transform	NOUN
ap-959	31	12	:	:	PUNCT
ap-959	31	13	h	h	NOUN
ap-959	31	14	n	n	PRON
ap-959	31	15	jxx	jxx	PROPN
ap-959	31	16	n	n	CCONJ
ap-959	31	17	j	j	PROPN
ap-959	31	18	j	j	PROPN
ap-959	32	1	k	k	PROPN
ap-959	32	2	n	n	CCONJ
ap-959	32	3	n	n	PROPN
ap-959	32	4	(	(	PUNCT
ap-959	32	5	)	)	PUNCT
ap-959	32	6	)	)	PUNCT
ap-959	32	7	)	)	PUNCT
ap-959	32	8	sin	sin	PROPN
ap-959	32	9	�	�	PROPN
ap-959	32	10	�	�	PROPN
ap-959	32	11	�	�	PROPN
ap-959	32	12	�	�	PROPN
ap-959	32	13	�	�	PROPN
ap-959	32	14	�	�	PROPN
ap-959	32	15	�	�	PROPN
ap-959	32	16	�	�	PROPN
ap-959	32	17	�	�	PROPN
ap-959	32	18	�	�	PROPN
ap-959	32	19	�	�	PROPN
ap-959	32	20	�	�	PROPN
ap-959	32	21	�	�	PROPN
ap-959	32	22	�	�	PROPN
ap-959	32	23	�	�	PROPN
ap-959	32	24	�	�	PROPN
ap-959	32	25	�	�	PROPN
ap-959	32	26	�	�	PROPN
ap-959	32	27	2	2	NUM
ap-959	32	28	2	2	NUM
ap-959	32	29	2	2	NUM
ap-959	32	30	1	1	NUM
ap-959	32	31	.	.	PUNCT
ap-959	33	1	©	©	PROPN
ap-959	33	2	czech	czech	PROPN
ap-959	33	3	technical	technical	PROPN
ap-959	33	4	university	university	PROPN
ap-959	33	5	publishing	publishing	NOUN
ap-959	33	6	house	house	NOUN
ap-959	33	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	33	8	29	29	NUM
ap-959	33	9	acta	acta	PROPN
ap-959	33	10	polytechnica	polytechnica	PROPN
ap-959	33	11	vol	vol	NOUN
ap-959	33	12	.	.	PUNCT
ap-959	34	1	48	48	NUM
ap-959	34	2	no	no	NOUN
ap-959	34	3	.	.	PUNCT
ap-959	35	1	2/2008	2/2008	NOUN
ap-959	35	2	correlation	correlation	NOUN
ap-959	35	3	functions	function	NOUN
ap-959	35	4	for	for	ADP
ap-959	35	5	lattice	lattice	PROPN
ap-959	35	6	integrable	integrable	ADJ
ap-959	35	7	models	model	NOUN
ap-959	35	8	f.	f.	PROPN
ap-959	35	9	smirnov	smirnov	PROPN
ap-959	35	10	in	in	ADP
ap-959	35	11	this	this	DET
ap-959	35	12	lectures	lecture	NOUN
ap-959	35	13	i	i	PRON
ap-959	35	14	consider	consider	VERB
ap-959	35	15	the	the	DET
ap-959	35	16	problem	problem	NOUN
ap-959	35	17	of	of	ADP
ap-959	35	18	calculating	calculate	VERB
ap-959	35	19	the	the	DET
ap-959	35	20	correlation	correlation	NOUN
ap-959	35	21	functions	function	NOUN
ap-959	35	22	for	for	ADP
ap-959	35	23	xxz	xxz	NOUN
ap-959	35	24	spin	spin	NOUN
ap-959	35	25	chain	chain	NOUN
ap-959	35	26	.	.	PUNCT
ap-959	36	1	first	first	ADV
ap-959	36	2	,	,	PUNCT
ap-959	36	3	i	i	PRON
ap-959	36	4	explain	explain	VERB
ap-959	36	5	in	in	ADP
ap-959	36	6	details	detail	NOUN
ap-959	36	7	the	the	DET
ap-959	36	8	free	free	ADJ
ap-959	36	9	fermion	fermion	NOUN
ap-959	36	10	case	case	NOUN
ap-959	36	11	.	.	PUNCT
ap-959	37	1	then	then	ADV
ap-959	37	2	i	i	PRON
ap-959	37	3	show	show	VERB
ap-959	37	4	that	that	SCONJ
ap-959	37	5	for	for	SCONJ
ap-959	37	6	generic	generic	ADJ
ap-959	37	7	coupling	coupling	NOUN
ap-959	37	8	constant	constant	ADJ
ap-959	37	9	the	the	DET
ap-959	37	10	fermionic	fermionic	NOUN
ap-959	37	11	operators	operator	NOUN
ap-959	37	12	acting	act	VERB
ap-959	37	13	on	on	ADP
ap-959	37	14	the	the	DET
ap-959	37	15	space	space	NOUN
ap-959	37	16	of	of	ADP
ap-959	37	17	quasi	quasi	ADJ
ap-959	37	18	-	-	ADJ
ap-959	37	19	local	local	ADJ
ap-959	37	20	fields	field	NOUN
ap-959	37	21	can	can	AUX
ap-959	37	22	be	be	AUX
ap-959	37	23	introduced	introduce	VERB
ap-959	37	24	.	.	PUNCT
ap-959	38	1	in	in	ADP
ap-959	38	2	the	the	DET
ap-959	38	3	basis	basis	NOUN
ap-959	38	4	generated	generate	VERB
ap-959	38	5	by	by	ADP
ap-959	38	6	these	these	DET
ap-959	38	7	fermionic	fermionic	NOUN
ap-959	38	8	operators	operator	NOUN
ap-959	38	9	the	the	DET
ap-959	38	10	correlation	correlation	NOUN
ap-959	38	11	functions	function	NOUN
ap-959	38	12	are	be	AUX
ap-959	38	13	given	give	VERB
ap-959	38	14	by	by	ADP
ap-959	38	15	determinants	determinant	NOUN
ap-959	38	16	as	as	ADP
ap-959	38	17	in	in	ADP
ap-959	38	18	the	the	DET
ap-959	38	19	free	free	ADJ
ap-959	38	20	fermion	fermion	NOUN
ap-959	38	21	case	case	NOUN
ap-959	38	22	.	.	PUNCT
ap-959	39	1	keywords	keyword	NOUN
ap-959	39	2	:	:	PUNCT
ap-959	39	3	quantum	quantum	ADJ
ap-959	39	4	integrable	integrable	ADJ
ap-959	39	5	models	model	NOUN
ap-959	39	6	,	,	PUNCT
ap-959	39	7	correlation	correlation	NOUN
ap-959	39	8	functions	function	NOUN
ap-959	39	9	,	,	PUNCT
ap-959	39	10	exactly	exactly	ADV
ap-959	39	11	solvable	solvable	ADJ
ap-959	39	12	models	model	NOUN
ap-959	39	13	of	of	ADP
ap-959	39	14	statistical	statistical	ADJ
ap-959	39	15	physics	physic	NOUN
ap-959	39	16	.	.	PUNCT
ap-959	40	1	as	as	ADP
ap-959	40	2	usual	usual	ADJ
ap-959	40	3	in	in	ADP
ap-959	40	4	fermionic	fermionic	NOUN
ap-959	40	5	models	model	NOUN
ap-959	40	6	,	,	PUNCT
ap-959	40	7	there	there	PRON
ap-959	40	8	are	be	VERB
ap-959	40	9	negative	negative	ADJ
ap-959	40	10	energies	energy	NOUN
ap-959	40	11	which	which	PRON
ap-959	40	12	are	be	AUX
ap-959	40	13	taken	take	VERB
ap-959	40	14	care	care	NOUN
ap-959	40	15	of	of	ADP
ap-959	40	16	by	by	ADP
ap-959	40	17	the	the	DET
ap-959	40	18	dirac	dirac	NOUN
ap-959	40	19	trick	trick	NOUN
ap-959	40	20	:	:	PUNCT
ap-959	40	21	rewrite	rewrite	VERB
ap-959	40	22	the	the	DET
ap-959	40	23	hamiltonian	hamiltonian	NOUN
ap-959	40	24	as	as	ADP
ap-959	40	25	h	h	NOUN
ap-959	40	26	n	n	PRON
ap-959	40	27	jxx	jxx	PROPN
ap-959	40	28	n	n	PROPN
ap-959	40	29	j	j	PROPN
ap-959	40	30	j	j	PROPN
ap-959	40	31	k	k	PROPN
ap-959	40	32	n	n	PROPN
ap-959	40	33	j	j	PROPN
ap-959	40	34	(	(	PUNCT
ap-959	40	35	)	)	PUNCT
ap-959	40	36	)	)	PUNCT
ap-959	40	37	)	)	PUNCT
ap-959	40	38	sin	sin	NOUN
ap-959	40	39	)	)	PUNCT
ap-959	40	40	�	�	PROPN
ap-959	40	41	�	�	PROPN
ap-959	40	42	�	�	PROPN
ap-959	40	43	�	�	PROPN
ap-959	40	44	�	�	PROPN
ap-959	40	45	�	�	PROPN
ap-959	40	46	�	�	PROPN
ap-959	40	47	�	�	PROPN
ap-959	40	48	�	�	PROPN
ap-959	40	49	�	�	PROPN
ap-959	40	50	�	�	PROPN
ap-959	40	51	�	�	PROPN
ap-959	40	52	�	�	PROPN
ap-959	40	53	�	�	PROPN
ap-959	40	54	�	�	PROPN
ap-959	40	55	�	�	PROPN
ap-959	40	56	�	�	PROPN
ap-959	40	57	�	�	PROPN
ap-959	40	58	�	�	PROPN
ap-959	40	59	�	�	PROPN
ap-959	40	60	�	�	PROPN
ap-959	40	61	�	�	PROPN
ap-959	40	62	�	�	PROPN
ap-959	40	63	�	�	PROPN
ap-959	40	64	�	�	PROPN
ap-959	40	65	�	�	PROPN
ap-959	40	66	2	2	NUM
ap-959	40	67	0	0	NUM
ap-959	40	68	2	2	NUM
ap-959	40	69	1	1	NUM
ap-959	40	70	�	�	PROPN
ap-959	40	71	�	�	PROPN
ap-959	40	72	j	j	PROPN
ap-959	41	1	k	k	PROPN
ap-959	42	1	n	n	PROPN
ap-959	43	1	n	n	PRON
ap-959	43	2	j	j	PROPN
ap-959	43	3	const	const	NOUN
ap-959	43	4	)	)	PUNCT
ap-959	43	5	sin	sin	NOUN
ap-959	43	6	2	2	NUM
ap-959	43	7	2	2	NUM
ap-959	43	8	1	1	NUM
ap-959	43	9	�	�	PROPN
ap-959	43	10	�	�	PROPN
ap-959	43	11	�	�	PROPN
ap-959	43	12	�	�	PROPN
ap-959	43	13	�	�	PROPN
ap-959	43	14	�	�	PROPN
ap-959	43	15	�	�	PROPN
ap-959	43	16	�	�	PROPN
ap-959	43	17	�	�	PROPN
ap-959	43	18	�	�	PROPN
ap-959	43	19	which	which	PRON
ap-959	43	20	means	mean	VERB
ap-959	43	21	that	that	SCONJ
ap-959	43	22	the	the	DET
ap-959	43	23	vacuum	vacuum	NOUN
ap-959	43	24	must	must	AUX
ap-959	43	25	satisfy	satisfy	VERB
ap-959	43	26	�	�	PROPN
ap-959	43	27	�	�	PROPN
ap-959	43	28	�	�	PROPN
ap-959	43	29	�	�	PROPN
ap-959	43	30	�	�	PROPN
ap-959	43	31	�	�	PROPN
ap-959	43	32	�	�	PROPN
ap-959	43	33	�	�	PROPN
ap-959	43	34	�	�	PROPN
ap-959	43	35	�	�	PROPN
ap-959	43	36	�	�	PROPN
ap-959	43	37	�	�	PROPN
ap-959	43	38	�	�	PROPN
ap-959	43	39	�	�	PROPN
ap-959	43	40	�	�	PROPN
ap-959	43	41	j	j	PROPN
ap-959	43	42	j	j	PROPN
ap-959	43	43	j	j	PROPN
ap-959	43	44	n	n	CCONJ
ap-959	43	45	j	j	PROPN
ap-959	43	46	n	n	CCONJ
ap-959	43	47	)	)	PUNCT
ap-959	43	48	,	,	PUNCT
ap-959	43	49	,	,	PUNCT
ap-959	43	50	,	,	PUNCT
ap-959	43	51	)	)	PUNCT
ap-959	43	52	,	,	PUNCT
ap-959	43	53	,	,	PUNCT
ap-959	43	54	,	,	PUNCT
ap-959	43	55	.	.	PUNCT
ap-959	44	1	vac	vac	INTJ
ap-959	44	2	vac	vac	NOUN
ap-959	44	3	0	0	NUM
ap-959	44	4	2	2	NUM
ap-959	44	5	1	1	NUM
ap-959	44	6	0	0	NUM
ap-959	44	7	0	0	NUM
ap-959	44	8	2	2	NUM
ap-959	44	9	1	1	NUM
ap-959	44	10	�	�	PROPN
ap-959	44	11	�	�	PROPN
ap-959	44	12	so	so	ADV
ap-959	44	13	,	,	PUNCT
ap-959	44	14	if	if	SCONJ
ap-959	44	15	we	we	PRON
ap-959	44	16	start	start	VERB
ap-959	44	17	with	with	ADP
ap-959	44	18	a	a	DET
ap-959	44	19	ferromagnetic	ferromagnetic	ADJ
ap-959	44	20	vacuum	vacuum	NOUN
ap-959	44	21	0	0	NUM
ap-959	45	1	in	in	ADP
ap-959	45	2	which	which	PRON
ap-959	45	3	all	all	DET
ap-959	45	4	spins	spin	NOUN
ap-959	45	5	are	be	AUX
ap-959	45	6	down	down	ADV
ap-959	45	7	,	,	PUNCT
ap-959	45	8	the	the	DET
ap-959	45	9	real	real	ADJ
ap-959	45	10	vacuum	vacuum	NOUN
ap-959	45	11	vac	vac	NOUN
ap-959	45	12	is	be	AUX
ap-959	45	13	obtained	obtain	VERB
ap-959	45	14	by	by	ADP
ap-959	45	15	filling	fill	VERB
ap-959	45	16	the	the	DET
ap-959	45	17	dirac	dirac	PROPN
ap-959	45	18	sea	sea	NOUN
ap-959	45	19	:	:	PUNCT
ap-959	45	20	vac	vac	NOUN
ap-959	45	21	0	0	NUM
ap-959	45	22	�	�	PROPN
ap-959	45	23	�	�	PROPN
ap-959	45	24	�	�	PROPN
ap-959	45	25	�	�	PROPN
ap-959	45	26	�	�	PROPN
ap-959	45	27	�	�	PROPN
ap-959	45	28	�	�	PROPN
ap-959	45	29	�	�	PROPN
ap-959	45	30	�	�	PROPN
ap-959	45	31	j	j	PROPN
ap-959	45	32	j	j	PROPN
ap-959	45	33	n	n	CCONJ
ap-959	45	34	)	)	PUNCT
ap-959	45	35	2	2	NUM
ap-959	45	36	1	1	NUM
ap-959	45	37	.	.	PUNCT
ap-959	46	1	i	i	PRON
ap-959	46	2	have	have	AUX
ap-959	46	3	considered	consider	VERB
ap-959	46	4	this	this	DET
ap-959	46	5	simple	simple	ADJ
ap-959	46	6	example	example	NOUN
ap-959	46	7	in	in	ADP
ap-959	46	8	order	order	NOUN
ap-959	46	9	to	to	PART
ap-959	46	10	explain	explain	VERB
ap-959	46	11	that	that	SCONJ
ap-959	46	12	even	even	ADV
ap-959	46	13	in	in	ADP
ap-959	46	14	the	the	DET
ap-959	46	15	free	free	ADJ
ap-959	46	16	fermion	fermion	NOUN
ap-959	46	17	case	case	NOUN
ap-959	46	18	the	the	DET
ap-959	46	19	vacuum	vacuum	NOUN
ap-959	46	20	is	be	AUX
ap-959	46	21	a	a	DET
ap-959	46	22	rather	rather	ADV
ap-959	46	23	complicated	complicated	ADJ
ap-959	46	24	state	state	NOUN
ap-959	46	25	if	if	SCONJ
ap-959	46	26	we	we	PRON
ap-959	46	27	present	present	VERB
ap-959	46	28	it	it	PRON
ap-959	46	29	in	in	ADP
ap-959	46	30	terms	term	NOUN
ap-959	46	31	of	of	ADP
ap-959	46	32	original	original	ADJ
ap-959	46	33	spin	spin	NOUN
ap-959	46	34	variables	variable	NOUN
ap-959	46	35	.	.	PUNCT
ap-959	47	1	now	now	ADV
ap-959	47	2	we	we	PRON
ap-959	47	3	have	have	VERB
ap-959	47	4	to	to	PART
ap-959	47	5	take	take	VERB
ap-959	47	6	the	the	DET
ap-959	47	7	limit	limit	NOUN
ap-959	47	8	n	n	DET
ap-959	47	9	�	�	PROPN
ap-959	47	10	�	�	PROPN
ap-959	47	11	.	.	PUNCT
ap-959	48	1	for	for	ADP
ap-959	48	2	the	the	DET
ap-959	48	3	fourier	fourier	NOUN
ap-959	48	4	transform	transform	NOUN
ap-959	48	5	we	we	PRON
ap-959	48	6	have	have	VERB
ap-959	48	7	�	�	PROPN
ap-959	48	8	�	�	PROPN
ap-959	48	9	k	k	PROPN
ap-959	48	10	d	d	PROPN
ap-959	48	11	�	�	PROPN
ap-959	48	12	�	�	PROPN
ap-959	48	13	�	�	PROPN
ap-959	48	14	�	�	PROPN
ap-959	48	15	�	�	PROPN
ap-959	48	16	�	�	PROPN
ap-959	48	17	�	�	PROPN
ap-959	48	18	�	�	PROPN
ap-959	48	19	�	�	PROPN
ap-959	48	20	�	�	PROPN
ap-959	48	21	�	�	PROPN
ap-959	48	22	�	�	PROPN
ap-959	48	23	�	�	PROPN
ap-959	48	24	�	�	PROPN
ap-959	48	25	�	�	PROPN
ap-959	48	26	1	1	NUM
ap-959	48	27	1	1	NUM
ap-959	48	28	2	2	NUM
ap-959	48	29	1	1	NUM
ap-959	48	30	2	2	NUM
ap-959	48	31	2	2	NUM
ap-959	48	32	2	2	NUM
ap-959	48	33	4	4	NUM
ap-959	48	34	12	12	NUM
ap-959	48	35	(	(	PUNCT
ap-959	48	36	)	)	PUNCT
ap-959	48	37	,	,	PUNCT
ap-959	48	38	and	and	CCONJ
ap-959	48	39	the	the	DET
ap-959	48	40	vacuum	vacuum	NOUN
ap-959	48	41	satisfies	satisfie	NOUN
ap-959	48	42	:	:	PUNCT
ap-959	48	43	�	�	PROPN
ap-959	48	44	�	�	PROPN
ap-959	48	45	�	�	PROPN
ap-959	48	46	�	�	PROPN
ap-959	48	47	)	)	PUNCT
ap-959	48	48	vac	vac	NOUN
ap-959	48	49	0	0	NUM
ap-959	48	50	,	,	PUNCT
ap-959	48	51	phase	phase	NOUN
ap-959	48	52	1	1	NUM
ap-959	48	53	1	1	NUM
ap-959	48	54	0	0	NUM
ap-959	48	55	2	2	NUM
ap-959	48	56	2	2	NUM
ap-959	48	57	�	�	PROPN
ap-959	48	58	�	�	PROPN
ap-959	48	59	�	�	PROPN
ap-959	48	60	�	�	PROPN
ap-959	48	61	�	�	PROPN
ap-959	48	62	�	�	PROPN
ap-959	48	63	�	�	PROPN
ap-959	48	64	�	�	PROPN
ap-959	48	65	�	�	PROPN
ap-959	48	66	�	�	PROPN
ap-959	48	67	,	,	PUNCT
ap-959	48	68	�	�	PROPN
ap-959	48	69	�	�	PROPN
ap-959	48	70	)	)	PUNCT
ap-959	48	71	vac	vac	PROPN
ap-959	48	72	�	�	PROPN
ap-959	48	73	0	0	NUM
ap-959	48	74	,	,	PUNCT
ap-959	48	75	phase	phase	NOUN
ap-959	48	76	1	1	NUM
ap-959	48	77	1	1	NUM
ap-959	48	78	0	0	NUM
ap-959	48	79	2	2	NUM
ap-959	48	80	2	2	NUM
ap-959	48	81	�	�	PROPN
ap-959	48	82	�	�	PROPN
ap-959	48	83	�	�	PROPN
ap-959	48	84	�	�	PROPN
ap-959	48	85	�	�	PROPN
ap-959	48	86	�	�	PROPN
ap-959	48	87	�	�	PROPN
ap-959	48	88	�	�	PROPN
ap-959	48	89	�	�	PROPN
ap-959	48	90	�	�	PROPN
ap-959	48	91	.	.	PUNCT
ap-959	48	92	let	let	VERB
ap-959	48	93	me	i	PRON
ap-959	48	94	give	give	VERB
ap-959	48	95	some	some	DET
ap-959	48	96	explanation	explanation	NOUN
ap-959	48	97	about	about	ADP
ap-959	48	98	the	the	DET
ap-959	48	99	case	case	NOUN
ap-959	48	100	of	of	ADP
ap-959	48	101	generic	generic	ADJ
ap-959	48	102	q.	q.	NOUN
ap-959	48	103	it	it	PRON
ap-959	48	104	is	be	AUX
ap-959	48	105	well	well	ADV
ap-959	48	106	known	known	ADJ
ap-959	48	107	nowadays	nowadays	ADV
ap-959	48	108	that	that	SCONJ
ap-959	48	109	the	the	DET
ap-959	48	110	integrability	integrability	NOUN
ap-959	48	111	of	of	ADP
ap-959	48	112	the	the	DET
ap-959	48	113	xxz	xxz	NOUN
ap-959	48	114	model	model	NOUN
ap-959	48	115	is	be	AUX
ap-959	48	116	due	due	ADJ
ap-959	48	117	to	to	ADP
ap-959	48	118	its	its	PRON
ap-959	48	119	relation	relation	NOUN
ap-959	48	120	to	to	ADP
ap-959	48	121	the	the	DET
ap-959	48	122	trigonometric	trigonometric	ADJ
ap-959	48	123	r	r	NOUN
ap-959	48	124	-	-	NOUN
ap-959	48	125	matrix	matrix	NOUN
ap-959	48	126	.	.	PUNCT
ap-959	49	1	the	the	DET
ap-959	49	2	r	r	NOUN
ap-959	49	3	-	-	PUNCT
ap-959	49	4	matrix	matrix	NOUN
ap-959	49	5	belongs	belong	VERB
ap-959	49	6	to	to	ADP
ap-959	49	7	the	the	DET
ap-959	49	8	tensor	tensor	NOUN
ap-959	49	9	product	product	NOUN
ap-959	49	10	of	of	ADP
ap-959	49	11	the	the	DET
ap-959	49	12	two	two	NUM
ap-959	49	13	algebras	algebra	NOUN
ap-959	49	14	of	of	ADP
ap-959	49	15	the	the	DET
ap-959	49	16	2	2	NUM
ap-959	49	17	matrices	matrix	NOUN
ap-959	49	18	:	:	PUNCT
ap-959	49	19	r	r	NOUN
ap-959	49	20	mat	mat	NOUN
ap-959	49	21	mat	mat	NOUN
ap-959	49	22	(	(	PUNCT
ap-959	49	23	)	)	PUNCT
ap-959	49	24	(	(	PUNCT
ap-959	49	25	,	,	PUNCT
ap-959	49	26	)	)	PUNCT
ap-959	49	27	(	(	PUNCT
ap-959	49	28	,	,	PUNCT
ap-959	49	29	)	)	PUNCT
ap-959	49	30	�	�	PROPN
ap-959	49	31	�	�	PROPN
ap-959	49	32	2	2	NUM
ap-959	49	33	2	2	NUM
ap-959	49	34	�	�	PROPN
ap-959	49	35	�	�	PROPN
ap-959	49	36	:	:	PUNCT
ap-959	49	37	r	r	NOUN
ap-959	49	38	q	q	X
ap-959	49	39	q	q	X
ap-959	49	40	q	q	X
ap-959	49	41	q	q	X
ap-959	49	42	q	q	X
ap-959	49	43	q	q	X
ap-959	49	44	q	q	X
ap-959	49	45	q	q	X
ap-959	49	46	(	(	PUNCT
ap-959	49	47	)	)	PUNCT
ap-959	49	48	�	�	PROPN
ap-959	49	49	�	�	PROPN
ap-959	49	50	�	�	PROPN
ap-959	49	51	�	�	PROPN
ap-959	49	52	�	�	PROPN
ap-959	49	53	�	�	PROPN
ap-959	49	54	�	�	PROPN
ap-959	49	55	�	�	PROPN
ap-959	49	56	�	�	PROPN
ap-959	49	57	�	�	PROPN
ap-959	49	58	�	�	PROPN
ap-959	49	59	�	�	PROPN
ap-959	49	60	�	�	PROPN
ap-959	49	61	�	�	PROPN
ap-959	49	62	�	�	PROPN
ap-959	49	63	1	1	NUM
ap-959	49	64	0	0	NUM
ap-959	49	65	0	0	NUM
ap-959	49	66	0	0	NUM
ap-959	49	67	0	0	NUM
ap-959	49	68	0	0	NUM
ap-959	49	69	0	0	NUM
ap-959	49	70	1	1	NUM
ap-959	49	71	1	1	NUM
ap-959	49	72	1	1	NUM
ap-959	49	73	1	1	NUM
ap-959	49	74	1	1	NUM
ap-959	49	75	1	1	NUM
ap-959	49	76	1	1	NUM
ap-959	49	77	1	1	NUM
ap-959	49	78	0	0	NUM
ap-959	49	79	0	0	NUM
ap-959	49	80	0	0	NUM
ap-959	49	81	0	0	NUM
ap-959	49	82	11	11	NUM
ap-959	49	83	q	q	NOUN
ap-959	49	84	q	q	PROPN
ap-959	49	85	�	�	PROPN
ap-959	49	86	�	�	PROPN
ap-959	49	87	�	�	PROPN
ap-959	49	88	�	�	PROPN
ap-959	49	89	�	�	PROPN
ap-959	49	90	�	�	PROPN
ap-959	49	91	�	�	PROPN
ap-959	49	92	�	�	PROPN
ap-959	49	93	�	�	PROPN
ap-959	49	94	�	�	PROPN
ap-959	49	95	�	�	PROPN
ap-959	49	96	�	�	PROPN
ap-959	49	97	�	�	PROPN
ap-959	49	98	�	�	PROPN
ap-959	49	99	�	�	PROPN
ap-959	49	100	�	�	PROPN
ap-959	49	101	(	(	PUNCT
ap-959	49	102	1.1	1.1	NUM
ap-959	49	103	)	)	PUNCT
ap-959	49	104	the	the	DET
ap-959	49	105	r	r	NOUN
ap-959	49	106	-	-	PUNCT
ap-959	49	107	matrix	matrix	NOUN
ap-959	49	108	satisfies	satisfie	NOUN
ap-959	49	109	the	the	DET
ap-959	49	110	yang	yang	PROPN
ap-959	49	111	-	-	PUNCT
ap-959	49	112	baxter	baxter	PROPN
ap-959	49	113	equation	equation	NOUN
ap-959	49	114	:	:	PUNCT
ap-959	49	115	r	r	NOUN
ap-959	49	116	r	r	NOUN
ap-959	49	117	r	r	NOUN
ap-959	49	118	r12	r12	NOUN
ap-959	49	119	1	1	NUM
ap-959	49	120	2	2	NUM
ap-959	49	121	13	13	NUM
ap-959	49	122	1	1	NUM
ap-959	49	123	3	3	NUM
ap-959	49	124	23	23	NUM
ap-959	49	125	2	2	NUM
ap-959	49	126	3	3	NUM
ap-959	49	127	23	23	NUM
ap-959	49	128	�	�	PROPN
ap-959	49	129	�	�	PROPN
ap-959	49	130	�	�	PROPN
ap-959	49	131	�	�	PROPN
ap-959	49	132	�	�	PROPN
ap-959	49	133	�	�	PROPN
ap-959	49	134	�	�	PROPN
ap-959	49	135	�	�	PROPN
ap-959	49	136	�	�	PROPN
ap-959	49	137	�	�	PROPN
ap-959	49	138	�	�	PROPN
ap-959	49	139	�	�	PROPN
ap-959	49	140	�	�	PROPN
ap-959	49	141	�	�	PROPN
ap-959	49	142	�	�	PROPN
ap-959	49	143	�	�	PROPN
ap-959	49	144	�	�	PROPN
ap-959	49	145	�	�	PROPN
ap-959	49	146	�	�	PROPN
ap-959	49	147	�	�	PROPN
ap-959	49	148	�	�	PROPN
ap-959	49	149	�	�	PROPN
ap-959	49	150	2	2	NUM
ap-959	49	151	3	3	NUM
ap-959	49	152	13	13	NUM
ap-959	49	153	1	1	NUM
ap-959	49	154	3	3	NUM
ap-959	49	155	12	12	NUM
ap-959	49	156	1	1	NUM
ap-959	49	157	2	2	NUM
ap-959	49	158	�	�	PROPN
ap-959	49	159	�	�	PROPN
ap-959	49	160	�	�	PROPN
ap-959	49	161	�	�	PROPN
ap-959	49	162	�	�	PROPN
ap-959	49	163	�	�	PROPN
ap-959	49	164	�	�	PROPN
ap-959	49	165	�	�	PROPN
ap-959	49	166	�	�	PROPN
ap-959	49	167	�	�	PROPN
ap-959	49	168	�	�	PROPN
ap-959	49	169	�	�	PROPN
ap-959	49	170	�	�	PROPN
ap-959	49	171	�	�	PROPN
ap-959	49	172	�	�	PROPN
ap-959	49	173	�	�	PROPN
ap-959	49	174	�	�	PROPN
ap-959	49	175	�	�	PROPN
ap-959	49	176	�	�	PROPN
ap-959	49	177	�	�	PROPN
ap-959	49	178	�	�	PROPN
ap-959	49	179	r	r	NOUN
ap-959	49	180	r	r	NOUN
ap-959	49	181	,	,	PUNCT
ap-959	49	182	where	where	SCONJ
ap-959	49	183	as	as	ADP
ap-959	49	184	usual	usual	ADJ
ap-959	49	185	i	i	PRON
ap-959	49	186	shall	shall	AUX
ap-959	49	187	denote	denote	VERB
ap-959	49	188	by	by	ADP
ap-959	49	189	ri	ri	PROPN
ap-959	49	190	j	j	PROPN
ap-959	49	191	,	,	PUNCT
ap-959	49	192	(	(	PUNCT
ap-959	49	193	)	)	PUNCT
ap-959	49	194	the	the	DET
ap-959	49	195	r	r	NOUN
ap-959	49	196	-	-	PUNCT
ap-959	49	197	matrix	matrix	NOUN
ap-959	49	198	acting	acting	NOUN
ap-959	49	199	in	in	ADP
ap-959	49	200	the	the	DET
ap-959	49	201	tensor	tensor	NOUN
ap-959	49	202	product	product	NOUN
ap-959	49	203	of	of	ADP
ap-959	49	204	two	two	NUM
ap-959	49	205	copies	copy	NOUN
ap-959	49	206	of	of	ADP
ap-959	49	207	mat	mat	NOUN
ap-959	49	208	(	(	PUNCT
ap-959	49	209	,	,	PUNCT
ap-959	49	210	)	)	PUNCT
ap-959	49	211	2	2	NUM
ap-959	49	212	�	�	PROPN
ap-959	49	213	.	.	PUNCT
ap-959	50	1	i	i	PRON
ap-959	50	2	shall	shall	AUX
ap-959	50	3	also	also	ADV
ap-959	50	4	use	use	VERB
ap-959	50	5	the	the	DET
ap-959	50	6	notion	notion	NOUN
ap-959	50	7	of	of	ADP
ap-959	50	8	an	an	DET
ap-959	50	9	l	l	NOUN
ap-959	50	10	-	-	NOUN
ap-959	50	11	operator	operator	NOUN
ap-959	50	12	.	.	PUNCT
ap-959	51	1	in	in	ADP
ap-959	51	2	this	this	DET
ap-959	51	3	particular	particular	ADJ
ap-959	51	4	case	case	NOUN
ap-959	51	5	there	there	PRON
ap-959	51	6	is	be	VERB
ap-959	51	7	no	no	DET
ap-959	51	8	difference	difference	NOUN
ap-959	51	9	between	between	ADP
ap-959	51	10	these	these	DET
ap-959	51	11	two	two	NUM
ap-959	51	12	things	thing	NOUN
ap-959	51	13	,	,	PUNCT
ap-959	51	14	and	and	CCONJ
ap-959	51	15	i	i	PRON
ap-959	51	16	shall	shall	AUX
ap-959	51	17	explain	explain	VERB
ap-959	51	18	later	later	ADV
ap-959	51	19	what	what	PRON
ap-959	51	20	i	i	PRON
ap-959	51	21	mean	mean	VERB
ap-959	51	22	by	by	ADP
ap-959	51	23	an	an	DET
ap-959	51	24	l	l	NOUN
ap-959	51	25	-	-	NOUN
ap-959	51	26	operator	operator	NOUN
ap-959	51	27	in	in	ADP
ap-959	51	28	general	general	ADJ
ap-959	51	29	.	.	PUNCT
ap-959	52	1	here	here	ADV
ap-959	52	2	i	i	PRON
ap-959	52	3	consider	consider	VERB
ap-959	52	4	two	two	NUM
ap-959	52	5	copies	copy	NOUN
ap-959	52	6	of	of	ADP
ap-959	52	7	mat	mat	NOUN
ap-959	52	8	(	(	PUNCT
ap-959	52	9	,	,	PUNCT
ap-959	52	10	)	)	PUNCT
ap-959	52	11	2	2	NUM
ap-959	52	12	�	�	PROPN
ap-959	52	13	one	one	NUM
ap-959	52	14	of	of	ADP
ap-959	52	15	which	which	PRON
ap-959	52	16	is	be	AUX
ap-959	52	17	called	call	VERB
ap-959	52	18	auxiliary	auxiliary	ADJ
ap-959	52	19	(	(	PUNCT
ap-959	52	20	carrying	carry	VERB
ap-959	52	21	the	the	DET
ap-959	52	22	index	index	NOUN
ap-959	52	23	a	a	PRON
ap-959	52	24	)	)	PUNCT
ap-959	52	25	,	,	PUNCT
ap-959	52	26	and	and	CCONJ
ap-959	52	27	the	the	DET
ap-959	52	28	other	other	ADJ
ap-959	52	29	is	be	AUX
ap-959	52	30	called	call	VERB
ap-959	52	31	quantum	quantum	NOUN
ap-959	52	32	(	(	PUNCT
ap-959	52	33	carrying	carry	VERB
ap-959	52	34	the	the	DET
ap-959	52	35	index	index	NOUN
ap-959	52	36	j	j	PROPN
ap-959	52	37	)	)	PUNCT
ap-959	52	38	.	.	PUNCT
ap-959	53	1	so	so	ADV
ap-959	53	2	,	,	PUNCT
ap-959	53	3	la	la	PROPN
ap-959	53	4	j	j	PROPN
ap-959	53	5	,	,	PUNCT
ap-959	53	6	(	(	PUNCT
ap-959	53	7	)	)	PUNCT
ap-959	53	8	is	be	AUX
ap-959	53	9	r	r	NOUN
ap-959	53	10	(	(	PUNCT
ap-959	53	11	)	)	PUNCT
ap-959	53	12	as	as	ADP
ap-959	53	13	an	an	DET
ap-959	53	14	element	element	NOUN
ap-959	53	15	of	of	ADP
ap-959	53	16	the	the	DET
ap-959	53	17	tensor	tensor	NOUN
ap-959	53	18	product	product	NOUN
ap-959	53	19	of	of	ADP
ap-959	53	20	these	these	DET
ap-959	53	21	two	two	NUM
ap-959	53	22	algebras	algebra	NOUN
ap-959	53	23	.	.	PUNCT
ap-959	54	1	the	the	DET
ap-959	54	2	most	most	ADV
ap-959	54	3	important	important	ADJ
ap-959	54	4	object	object	NOUN
ap-959	54	5	of	of	ADP
ap-959	54	6	the	the	DET
ap-959	54	7	theory	theory	NOUN
ap-959	54	8	of	of	ADP
ap-959	54	9	integrable	integrable	ADJ
ap-959	54	10	models	model	NOUN
ap-959	54	11	is	be	AUX
ap-959	54	12	the	the	DET
ap-959	54	13	transfer	transfer	NOUN
ap-959	54	14	-	-	PUNCT
ap-959	54	15	matrix	matrix	NOUN
ap-959	54	16	:	:	PUNCT
ap-959	54	17	t	t	PROPN
ap-959	54	18	l	l	PROPN
ap-959	54	19	ln	ln	ADV
ap-959	54	20	a	a	DET
ap-959	54	21	a	a	DET
ap-959	54	22	n	n	NOUN
ap-959	54	23	a	a	PRON
ap-959	54	24	n	n	CCONJ
ap-959	54	25	(	(	PUNCT
ap-959	54	26	)	)	PUNCT
ap-959	54	27	(	(	PUNCT
ap-959	54	28	(	(	PUNCT
ap-959	54	29	)	)	PUNCT
ap-959	54	30	(	(	PUNCT
ap-959	54	31	)	)	PUNCT
ap-959	54	32	)	)	PUNCT
ap-959	54	33	,	,	PUNCT
ap-959	54	34	,	,	PUNCT
ap-959	54	35	�	�	PROPN
ap-959	54	36	�	�	PROPN
ap-959	54	37	�	�	PROPN
ap-959	54	38	tr	tr	VERB
ap-959	54	39	2	2	NUM
ap-959	54	40	1	1	NUM
ap-959	54	41	2	2	NUM
ap-959	54	42	�	�	PROPN
ap-959	54	43	.	.	PUNCT
ap-959	55	1	the	the	DET
ap-959	55	2	yang	yang	PROPN
ap-959	55	3	-	-	PUNCT
ap-959	55	4	baxter	baxter	PROPN
ap-959	55	5	equation	equation	NOUN
ap-959	55	6	implies	imply	VERB
ap-959	55	7	commutativity	commutativity	NOUN
ap-959	55	8	:	:	PUNCT
ap-959	55	9	[	[	PUNCT
ap-959	55	10	(	(	PUNCT
ap-959	55	11	)	)	PUNCT
ap-959	55	12	,	,	PUNCT
ap-959	55	13	(	(	PUNCT
ap-959	55	14	)	)	PUNCT
ap-959	55	15	]	]	X
ap-959	55	16	t	t	PROPN
ap-959	55	17	tn	tn	PROPN
ap-959	55	18	n	n	PROPN
ap-959	55	19	1	1	NUM
ap-959	55	20	2	2	NUM
ap-959	55	21	0	0	NUM
ap-959	55	22	�	�	PROPN
ap-959	55	23	.	.	PUNCT
ap-959	56	1	it	it	PRON
ap-959	56	2	is	be	AUX
ap-959	56	3	well	well	ADV
ap-959	56	4	known	know	VERB
ap-959	56	5	that	that	SCONJ
ap-959	56	6	the	the	DET
ap-959	56	7	hamiltonian	hamiltonian	NOUN
ap-959	56	8	of	of	ADP
ap-959	56	9	a	a	DET
ap-959	56	10	periodic	periodic	ADJ
ap-959	56	11	xxz	xxz	NOUN
ap-959	56	12	chain	chain	NOUN
ap-959	56	13	on	on	ADP
ap-959	56	14	n	n	DET
ap-959	56	15	sites	site	NOUN
ap-959	56	16	is	be	AUX
ap-959	56	17	contained	contain	VERB
ap-959	56	18	in	in	ADP
ap-959	56	19	this	this	DET
ap-959	56	20	one	one	NUM
ap-959	56	21	-	-	PUNCT
ap-959	56	22	parametric	parametric	ADJ
ap-959	56	23	family	family	NOUN
ap-959	56	24	of	of	ADP
ap-959	56	25	operators	operator	NOUN
ap-959	56	26	,	,	PUNCT
ap-959	56	27	but	but	CCONJ
ap-959	56	28	since	since	SCONJ
ap-959	56	29	i	i	PRON
ap-959	56	30	shall	shall	AUX
ap-959	56	31	need	need	VERB
ap-959	56	32	some	some	DET
ap-959	56	33	knowledge	knowledge	NOUN
ap-959	56	34	about	about	ADP
ap-959	56	35	higher	high	ADJ
ap-959	56	36	local	local	ADJ
ap-959	56	37	integrals	integral	NOUN
ap-959	56	38	of	of	ADP
ap-959	56	39	motion	motion	NOUN
ap-959	56	40	let	let	VERB
ap-959	56	41	me	i	PRON
ap-959	56	42	repeat	repeat	VERB
ap-959	56	43	the	the	DET
ap-959	56	44	derivation	derivation	NOUN
ap-959	56	45	of	of	ADP
ap-959	56	46	this	this	DET
ap-959	56	47	fact	fact	NOUN
ap-959	56	48	.	.	PUNCT
ap-959	57	1	it	it	PRON
ap-959	57	2	is	be	AUX
ap-959	57	3	convenient	convenient	ADJ
ap-959	57	4	to	to	PART
ap-959	57	5	introduce	introduce	VERB
ap-959	57	6	~	~	PUNCT
ap-959	57	7	(	(	PUNCT
ap-959	57	8	)	)	PUNCT
ap-959	57	9	~	~	PUNCT
ap-959	57	10	(	(	PUNCT
ap-959	57	11	)	)	PUNCT
ap-959	57	12	,	,	PUNCT
ap-959	57	13	,	,	PUNCT
ap-959	57	14	l	l	PROPN
ap-959	57	15	la	la	PROPN
ap-959	57	16	j	j	PROPN
ap-959	57	17	a	a	DET
ap-959	57	18	j	j	PROPN
ap-959	57	19	j	j	PROPN
ap-959	57	20	j	j	PROPN
ap-959	57	21	�	�	PROPN
ap-959	57	22	�	�	PROPN
ap-959	57	23	�	�	PROPN
ap-959	57	24	�	�	PROPN
ap-959	57	25	3	3	NUM
ap-959	57	26	3	3	NUM
ap-959	57	27	2	2	NUM
ap-959	57	28	2	2	NUM
ap-959	57	29	.	.	PUNCT
ap-959	58	1	note	note	VERB
ap-959	58	2	that	that	SCONJ
ap-959	58	3	we	we	PRON
ap-959	58	4	still	still	ADV
ap-959	58	5	have	have	VERB
ap-959	58	6	t	t	PROPN
ap-959	58	7	l	l	NOUN
ap-959	58	8	ln	ln	ADV
ap-959	58	9	a	a	DET
ap-959	58	10	a	a	DET
ap-959	58	11	n	n	NOUN
ap-959	58	12	a	a	DET
ap-959	58	13	n	n	CCONJ
ap-959	58	14	(	(	PUNCT
ap-959	58	15	)	)	PUNCT
ap-959	58	16	(	(	PUNCT
ap-959	58	17	~	~	PUNCT
ap-959	58	18	(	(	PUNCT
ap-959	58	19	)	)	PUNCT
ap-959	58	20	~	~	PUNCT
ap-959	58	21	(	(	PUNCT
ap-959	58	22	)	)	PUNCT
ap-959	58	23	)	)	PUNCT
ap-959	58	24	,	,	PUNCT
ap-959	58	25	,	,	PUNCT
ap-959	58	26	�	�	PROPN
ap-959	58	27	�	�	PROPN
ap-959	58	28	�	�	PROPN
ap-959	58	29	tr	tr	VERB
ap-959	58	30	2	2	NUM
ap-959	58	31	1	1	NUM
ap-959	58	32	2	2	NUM
ap-959	58	33	�	�	PROPN
ap-959	58	34	because	because	SCONJ
ap-959	58	35	tn	tn	PROPN
ap-959	58	36	(	(	PUNCT
ap-959	58	37	)	)	PUNCT
ap-959	58	38	commutes	commute	NOUN
ap-959	58	39	with	with	ADP
ap-959	58	40	the	the	DET
ap-959	58	41	total	total	ADJ
ap-959	58	42	spin	spin	NOUN
ap-959	58	43	.	.	PUNCT
ap-959	59	1	introduce	introduce	VERB
ap-959	59	2	further	further	ADJ
ap-959	59	3	�	�	PROPN
ap-959	59	4	�	�	PROPN
ap-959	59	5	�	�	PROPN
ap-959	59	6	�	�	PROPN
ap-959	59	7	�	�	PROPN
ap-959	59	8	�	�	PROPN
ap-959	59	9	�	�	PROPN
ap-959	59	10	l	l	NOUN
ap-959	59	11	l	l	NOUN
ap-959	60	1	p	p	X
ap-959	60	2	q	q	X
ap-959	60	3	q	q	X
ap-959	60	4	ha	ha	INTJ
ap-959	60	5	j	j	PROPN
ap-959	60	6	a	a	DET
ap-959	60	7	j	j	PROPN
ap-959	60	8	a	a	DET
ap-959	60	9	j	j	PROPN
ap-959	60	10	a	a	DET
ap-959	60	11	j	j	PROPN
ap-959	60	12	,	,	PUNCT
ap-959	60	13	,	,	PUNCT
ap-959	60	14	,	,	PUNCT
ap-959	60	15	,	,	PUNCT
ap-959	60	16	(	(	PUNCT
ap-959	60	17	)	)	PUNCT
ap-959	60	18	~	~	PUNCT
ap-959	60	19	(	(	PUNCT
ap-959	60	20	)	)	PUNCT
ap-959	60	21	1	1	NUM
ap-959	60	22	12	12	NUM
ap-959	60	23	2	2	NUM
ap-959	60	24	1	1	NUM
ap-959	60	25	,	,	PUNCT
ap-959	60	26	where	where	SCONJ
ap-959	60	27	h	h	PRON
ap-959	60	28	q	q	X
ap-959	60	29	q	q	X
ap-959	60	30	q	q	X
ap-959	60	31	q	q	X
ap-959	60	32	a	a	DET
ap-959	60	33	j	j	PROPN
ap-959	60	34	a	a	DET
ap-959	60	35	j	j	PROPN
ap-959	60	36	a	a	DET
ap-959	60	37	j	j	PROPN
ap-959	60	38	a	a	DET
ap-959	60	39	j	j	PROPN
ap-959	60	40	a	a	X
ap-959	60	41	,	,	PUNCT
ap-959	60	42	(	(	PUNCT
ap-959	60	43	)	)	PUNCT
ap-959	60	44	(	(	PUNCT
ap-959	60	45	�	�	PROPN
ap-959	60	46	�	�	PROPN
ap-959	60	47	�	�	PROPN
ap-959	60	48	�	�	PROPN
ap-959	60	49	�	�	PROPN
ap-959	60	50	�	�	PROPN
ap-959	60	51	�	�	PROPN
ap-959	60	52	�	�	PROPN
ap-959	60	53	�	�	PROPN
ap-959	60	54	�	�	PROPN
ap-959	60	55	�	�	PROPN
ap-959	60	56	�	�	PROPN
ap-959	60	57	�	�	PROPN
ap-959	60	58	�	�	PROPN
ap-959	60	59	�	�	PROPN
ap-959	60	60	�	�	PROPN
ap-959	60	61	�	�	PROPN
ap-959	60	62	�	�	PROPN
ap-959	60	63	�	�	PROPN
ap-959	60	64	�	�	PROPN
ap-959	60	65	�	�	PROPN
ap-959	60	66	�	�	PROPN
ap-959	60	67	�	�	PROPN
ap-959	60	68	1	1	NUM
ap-959	60	69	3	3	NUM
ap-959	60	70	3	3	NUM
ap-959	60	71	1	1	NUM
ap-959	60	72	3	3	NUM
ap-959	60	73	4	4	NUM
ap-959	60	74	1	1	NUM
ap-959	60	75	4	4	NUM
ap-959	60	76	�	�	PROPN
ap-959	60	77	�	�	PROPN
ap-959	60	78	�	�	PROPN
ap-959	60	79	�	�	PROPN
ap-959	60	80	�	�	PROPN
ap-959	60	81	�	�	PROPN
ap-959	60	82	j	j	PROPN
ap-959	60	83	3	3	NUM
ap-959	60	84	)	)	PUNCT
ap-959	60	85	.	.	PUNCT
ap-959	61	1	note	note	VERB
ap-959	61	2	that	that	SCONJ
ap-959	61	3	the	the	DET
ap-959	61	4	operator	operator	NOUN
ap-959	61	5	ha	ha	INTJ
ap-959	61	6	j	j	PROPN
ap-959	61	7	,	,	PUNCT
ap-959	61	8	(	(	PUNCT
ap-959	61	9	the	the	DET
ap-959	61	10	density	density	NOUN
ap-959	61	11	of	of	ADP
ap-959	61	12	the	the	DET
ap-959	61	13	hamiltonian	hamiltonian	NOUN
ap-959	61	14	)	)	PUNCT
ap-959	61	15	is	be	AUX
ap-959	61	16	a	a	DET
ap-959	61	17	projector	projector	NOUN
ap-959	61	18	,	,	PUNCT
ap-959	61	19	so	so	SCONJ
ap-959	61	20	it	it	PRON
ap-959	61	21	is	be	AUX
ap-959	61	22	easy	easy	ADJ
ap-959	61	23	to	to	PART
ap-959	61	24	see	see	VERB
ap-959	61	25	that	that	SCONJ
ap-959	61	26	�	�	PROPN
ap-959	61	27	�	�	PROPN
ap-959	61	28	�	�	PROPN
ap-959	61	29	�	�	PROPN
ap-959	61	30	�	�	PROPN
ap-959	61	31	�	�	PROPN
ap-959	61	32	�	�	PROPN
ap-959	61	33	�	�	PROPN
ap-959	61	34	�	�	PROPN
ap-959	61	35	�	�	PROPN
ap-959	61	36	�	�	PROPN
ap-959	61	37	�	�	PROPN
ap-959	61	38	�	�	PROPN
ap-959	61	39	�	�	PROPN
ap-959	61	40	�	�	PROPN
ap-959	61	41	�	�	PROPN
ap-959	61	42	�	�	PROPN
ap-959	61	43	l	l	NOUN
ap-959	61	44	q	q	X
ap-959	62	1	q	q	X
ap-959	62	2	q	q	X
ap-959	62	3	q	q	X
ap-959	62	4	q	q	X
ap-959	62	5	q	q	X
ap-959	62	6	ha	ha	INTJ
ap-959	62	7	j	j	PROPN
ap-959	62	8	a	a	DET
ap-959	62	9	j	j	PROPN
ap-959	62	10	,	,	PUNCT
ap-959	62	11	,	,	PUNCT
ap-959	62	12	(	(	PUNCT
ap-959	62	13	)	)	PUNCT
ap-959	62	14	exp	exp	NOUN
ap-959	62	15	log	log	NOUN
ap-959	62	16	1	1	NUM
ap-959	62	17	1	1	NUM
ap-959	62	18	2	2	NUM
ap-959	62	19	1	1	NUM
ap-959	62	20	2	2	NUM
ap-959	62	21	1	1	NUM
ap-959	62	22	�	�	PROPN
ap-959	62	23	�	�	PROPN
ap-959	62	24	�	�	PROPN
ap-959	62	25	�	�	PROPN
ap-959	62	26	�	�	PROPN
ap-959	62	27	.	.	PUNCT
ap-959	63	1	now	now	ADV
ap-959	63	2	we	we	PRON
ap-959	63	3	calculate	calculate	VERB
ap-959	63	4	t	t	PROPN
ap-959	63	5	l	l	NOUN
ap-959	63	6	l	l	X
ap-959	63	7	ln	ln	X
ap-959	63	8	n	n	CCONJ
ap-959	63	9	n	n	CCONJ
ap-959	63	10	n	n	CCONJ
ap-959	63	11	n	n	CCONJ
ap-959	63	12	n	n	CCONJ
ap-959	63	13	n	n	CCONJ
ap-959	63	14	(	(	PUNCT
ap-959	63	15	)	)	PUNCT
ap-959	63	16	(	(	PUNCT
ap-959	63	17	)	)	PUNCT
ap-959	63	18	(	(	PUNCT
ap-959	63	19	)	)	PUNCT
ap-959	63	20	(	(	PUNCT
ap-959	63	21	)	)	PUNCT
ap-959	63	22	,	,	PUNCT
ap-959	63	23	,	,	PUNCT
ap-959	63	24	,	,	PUNCT
ap-959	63	25	�	�	PROPN
ap-959	63	26	�	�	PROPN
ap-959	63	27	�	�	PROPN
ap-959	63	28	�	�	PROPN
ap-959	63	29	�	�	PROPN
ap-959	63	30	�	�	PROPN
ap-959	63	31	�	�	PROPN
ap-959	63	32	�	�	PROPN
ap-959	63	33	�	�	PROPN
ap-959	63	34	�	�	PROPN
ap-959	63	35	�	�	PROPN
ap-959	63	36	�	�	PROPN
ap-959	63	37	�	�	PROPN
ap-959	63	38	�	�	PROPN
ap-959	63	39	2	2	NUM
ap-959	63	40	2	2	NUM
ap-959	63	41	1	1	NUM
ap-959	63	42	2	2	NUM
ap-959	63	43	1	1	NUM
ap-959	63	44	2	2	NUM
ap-959	63	45	2	2	NUM
ap-959	63	46	2	2	NUM
ap-959	63	47	1	1	NUM
ap-959	63	48	2	2	NUM
ap-959	63	49	p	p	NOUN
ap-959	63	50	p	p	PROPN
ap-959	63	51	e	e	PROPN
ap-959	63	52	un	un	PROPN
ap-959	63	53	n	n	PROPN
ap-959	63	54	n	n	PROPN
ap-959	63	55	n	n	NOUN
ap-959	63	56	ip	ip	ADV
ap-959	64	1	p	p	PROPN
ap-959	64	2	�	�	PROPN
ap-959	64	3	�	�	PROPN
ap-959	64	4	�	�	PROPN
ap-959	64	5	�	�	PROPN
ap-959	64	6	�	�	PROPN
ap-959	64	7	�	�	PROPN
ap-959	64	8	�	�	PROPN
ap-959	64	9	2	2	NUM
ap-959	64	10	2	2	NUM
ap-959	64	11	1	1	NUM
ap-959	64	12	2	2	NUM
ap-959	64	13	2	2	NUM
ap-959	64	14	1	1	NUM
ap-959	64	15	1	1	NUM
ap-959	64	16	,	,	PUNCT
ap-959	64	17	,	,	PUNCT
ap-959	64	18	,	,	PUNCT
ap-959	64	19	�	�	PROPN
ap-959	64	20	where	where	SCONJ
ap-959	64	21	�	�	PROPN
ap-959	64	22	�	�	PROPN
ap-959	64	23	�	�	PROPN
ap-959	64	24	�	�	PROPN
ap-959	64	25	l	l	PROPN
ap-959	64	26	n	n	X
ap-959	64	27	n2	n2	NOUN
ap-959	64	28	2	2	NUM
ap-959	64	29	1	1	NUM
ap-959	64	30	,	,	PUNCT
ap-959	64	31	means	mean	VERB
ap-959	64	32	that	that	SCONJ
ap-959	64	33	the	the	DET
ap-959	64	34	operators	operator	NOUN
ap-959	64	35	from	from	ADP
ap-959	64	36	the	the	DET
ap-959	64	37	�	�	PROPN
ap-959	64	38	n	n	ADV
ap-959	64	39	2	2	NUM
ap-959	64	40	(	(	PUNCT
ap-959	64	41	)	)	PUNCT
ap-959	64	42	n	n	CCONJ
ap-959	64	43	2	2	NUM
ap-959	64	44	1	1	NUM
ap-959	64	45	�	�	PROPN
ap-959	64	46	tensor	tensor	NOUN
ap-959	64	47	component	component	NOUN
ap-959	64	48	are	be	AUX
ap-959	64	49	put	put	VERB
ap-959	64	50	to	to	ADP
ap-959	64	51	the	the	DET
ap-959	64	52	right	right	NOUN
ap-959	64	53	(	(	PUNCT
ap-959	64	54	left	left	ADJ
ap-959	64	55	)	)	PUNCT
ap-959	64	56	of	of	ADP
ap-959	64	57	the	the	DET
ap-959	64	58	product	product	NOUN
ap-959	64	59	of	of	ADP
ap-959	64	60	the	the	DET
ap-959	64	61	l	l	NOUN
ap-959	64	62	-	-	NOUN
ap-959	64	63	operators	operator	NOUN
ap-959	64	64	.	.	PUNCT
ap-959	65	1	it	it	PRON
ap-959	65	2	is	be	AUX
ap-959	65	3	easy	easy	ADJ
ap-959	65	4	to	to	PART
ap-959	65	5	see	see	VERB
ap-959	65	6	that	that	SCONJ
ap-959	65	7	i	i	PRON
ap-959	65	8	hp	hp	VERB
ap-959	65	9	n	n	CCONJ
ap-959	65	10	�	�	PROPN
ap-959	65	11	xxz	xxz	PROPN
ap-959	65	12	(	(	PUNCT
ap-959	65	13	)	)	PUNCT
ap-959	65	14	,	,	PUNCT
ap-959	65	15	which	which	PRON
ap-959	65	16	is	be	AUX
ap-959	65	17	the	the	DET
ap-959	65	18	hamiltonian	hamiltonian	NOUN
ap-959	65	19	of	of	ADP
ap-959	65	20	the	the	DET
ap-959	65	21	periodic	periodic	ADJ
ap-959	65	22	xxz	xxz	NOUN
ap-959	65	23	chain	chain	NOUN
ap-959	65	24	.	.	PUNCT
ap-959	66	1	moreover	moreover	ADV
ap-959	66	2	,	,	PUNCT
ap-959	66	3	from	from	ADP
ap-959	66	4	the	the	DET
ap-959	66	5	campbell	campbell	PROPN
ap-959	66	6	-	-	PUNCT
ap-959	66	7	hausdorf	hausdorf	PROPN
ap-959	66	8	formula	formula	NOUN
ap-959	66	9	one	one	NUM
ap-959	66	10	concludes	conclude	VERB
ap-959	66	11	that	that	SCONJ
ap-959	66	12	i	i	PRON
ap-959	66	13	dp	dp	VERB
ap-959	66	14	p	p	X
ap-959	66	15	j	j	PROPN
ap-959	66	16	j	j	PROPN
ap-959	66	17	�	�	PROPN
ap-959	66	18	�	�	PROPN
ap-959	66	19	,	,	PUNCT
ap-959	66	20	30	30	NUM
ap-959	66	21	©	©	PROPN
ap-959	66	22	czech	czech	PROPN
ap-959	66	23	technical	technical	PROPN
ap-959	66	24	university	university	PROPN
ap-959	66	25	publishing	publishing	NOUN
ap-959	66	26	house	house	NOUN
ap-959	66	27	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	66	28	acta	acta	PROPN
ap-959	66	29	polytechnica	polytechnica	PROPN
ap-959	66	30	vol	vol	NOUN
ap-959	66	31	.	.	PUNCT
ap-959	67	1	48	48	NUM
ap-959	67	2	no	no	NOUN
ap-959	67	3	.	.	PUNCT
ap-959	68	1	2/2008	2/2008	NUM
ap-959	68	2	where	where	SCONJ
ap-959	68	3	dp	dp	NOUN
ap-959	68	4	,	,	PUNCT
ap-959	68	5	j	j	PROPN
ap-959	68	6	acts	act	VERB
ap-959	68	7	nontrivially	nontrivially	ADV
ap-959	68	8	from	from	ADP
ap-959	68	9	the	the	DET
ap-959	68	10	j	j	PROPN
ap-959	68	11	-	-	PUNCT
ap-959	68	12	th	th	X
ap-959	68	13	to	to	ADP
ap-959	68	14	the	the	DET
ap-959	68	15	(	(	PUNCT
ap-959	68	16	j	j	PROPN
ap-959	68	17	�	�	PROPN
ap-959	68	18	p)-th	p)-th	NOUN
ap-959	68	19	site	site	NOUN
ap-959	68	20	.	.	PUNCT
ap-959	69	1	these	these	DET
ap-959	69	2	operators	operator	NOUN
ap-959	69	3	are	be	AUX
ap-959	69	4	called	call	VERB
ap-959	69	5	local	local	ADJ
ap-959	69	6	integrals	integral	NOUN
ap-959	69	7	of	of	ADP
ap-959	69	8	motion	motion	NOUN
ap-959	69	9	:	:	PUNCT
ap-959	69	10	they	they	PRON
ap-959	69	11	commute	commute	VERB
ap-959	69	12	with	with	ADP
ap-959	69	13	the	the	DET
ap-959	69	14	hamiltonian	hamiltonian	NOUN
ap-959	69	15	,	,	PUNCT
ap-959	69	16	and	and	CCONJ
ap-959	69	17	they	they	PRON
ap-959	69	18	are	be	AUX
ap-959	69	19	composed	compose	VERB
ap-959	69	20	of	of	ADP
ap-959	69	21	local	local	ADJ
ap-959	69	22	densities	density	NOUN
ap-959	69	23	.	.	PUNCT
ap-959	70	1	finally	finally	ADV
ap-959	70	2	,	,	PUNCT
ap-959	70	3	i	i	PRON
ap-959	70	4	would	would	AUX
ap-959	70	5	like	like	VERB
ap-959	70	6	to	to	PART
ap-959	70	7	say	say	VERB
ap-959	70	8	what	what	PRON
ap-959	70	9	the	the	DET
ap-959	70	10	ground	ground	NOUN
ap-959	70	11	state	state	NOUN
ap-959	70	12	of	of	ADP
ap-959	70	13	the	the	DET
ap-959	70	14	hamiltonian	hamiltonian	NOUN
ap-959	70	15	of	of	ADP
ap-959	70	16	the	the	DET
ap-959	70	17	periodic	periodic	ADJ
ap-959	70	18	chain	chain	NOUN
ap-959	70	19	looks	look	VERB
ap-959	70	20	like	like	ADP
ap-959	70	21	.	.	PUNCT
ap-959	71	1	denote	denote	VERB
ap-959	71	2	l	l	PROPN
ap-959	71	3	l	l	NOUN
ap-959	72	1	a	a	DET
ap-959	72	2	b	b	X
ap-959	72	3	c	c	X
ap-959	72	4	da	da	PROPN
ap-959	72	5	n	n	ADP
ap-959	72	6	a	a	DET
ap-959	72	7	n	n	CCONJ
ap-959	72	8	n	n	CCONJ
ap-959	72	9	n	n	CCONJ
ap-959	72	10	n	n	CCONJ
ap-959	72	11	n	n	ADV
ap-959	72	12	a	a	DET
ap-959	72	13	,	,	PUNCT
ap-959	72	14	,	,	PUNCT
ap-959	72	15	(	(	PUNCT
ap-959	72	16	)	)	PUNCT
ap-959	72	17	(	(	PUNCT
ap-959	72	18	)	)	PUNCT
ap-959	72	19	(	(	PUNCT
ap-959	72	20	)	)	PUNCT
ap-959	72	21	(	(	PUNCT
ap-959	72	22	)	)	PUNCT
ap-959	72	23	(	(	PUNCT
ap-959	72	24	)	)	PUNCT
ap-959	72	25	(	(	PUNCT
ap-959	72	26	)	)	SYM
ap-959	72	27	2	2	NUM
ap-959	72	28	1	1	NUM
ap-959	72	29	2	2	NUM
ap-959	72	30	�	�	PROPN
ap-959	72	31	�	�	PROPN
ap-959	72	32	�	�	PROPN
ap-959	72	33	�	�	PROPN
ap-959	72	34	�	�	PROPN
ap-959	72	35	�	�	PROPN
ap-959	72	36	�	�	PROPN
ap-959	72	37	�	�	PROPN
ap-959	72	38	�	�	PROPN
ap-959	72	39	�	�	PROPN
ap-959	72	40	�	�	PROPN
ap-959	72	41	.	.	PUNCT
ap-959	73	1	the	the	DET
ap-959	73	2	eigenvectors	eigenvector	NOUN
ap-959	73	3	of	of	ADP
ap-959	73	4	the	the	DET
ap-959	73	5	transfer	transfer	NOUN
ap-959	73	6	matrix	matrix	NOUN
ap-959	73	7	with	with	ADP
ap-959	73	8	total	total	ADJ
ap-959	73	9	spin	spin	NOUN
ap-959	73	10	0	0	NUM
ap-959	74	1	(	(	PUNCT
ap-959	74	2	a	a	DET
ap-959	74	3	vacuum	vacuum	NOUN
ap-959	74	4	is	be	AUX
ap-959	74	5	among	among	ADP
ap-959	74	6	them	they	PRON
ap-959	74	7	)	)	PUNCT
ap-959	74	8	are	be	AUX
ap-959	74	9	constructed	construct	VERB
ap-959	74	10	as	as	ADP
ap-959	74	11	c	c	PROPN
ap-959	74	12	cn	cn	PROPN
ap-959	74	13	n	n	PROPN
ap-959	74	14	n	n	CCONJ
ap-959	74	15	(	(	PUNCT
ap-959	74	16	)	)	PUNCT
ap-959	74	17	(	(	PUNCT
ap-959	74	18	)	)	PUNCT
ap-959	74	19	�	�	PROPN
ap-959	74	20	�	�	PROPN
ap-959	74	21	1	1	NUM
ap-959	74	22	2	2	NUM
ap-959	74	23	0	0	NUM
ap-959	74	24	�	�	PROPN
ap-959	74	25	where	where	SCONJ
ap-959	74	26	�	�	PROPN
ap-959	74	27	j	j	PROPN
ap-959	74	28	solve	solve	VERB
ap-959	74	29	the	the	DET
ap-959	74	30	b	b	NOUN
ap-959	74	31	the	the	DET
ap-959	74	32	equations	equation	NOUN
ap-959	74	33	:	:	PUNCT
ap-959	74	34	1	1	NUM
ap-959	74	35	1	1	NUM
ap-959	74	36	1	1	NUM
ap-959	74	37	2	2	NUM
ap-959	74	38	2	2	NUM
ap-959	74	39	2	2	NUM
ap-959	74	40	2	2	NUM
ap-959	74	41	2	2	NUM
ap-959	74	42	2	2	NUM
ap-959	74	43	2	2	NUM
ap-959	74	44	2	2	NUM
ap-959	74	45	2	2	NUM
ap-959	74	46	�	�	PROPN
ap-959	74	47	�	�	PROPN
ap-959	74	48	�	�	PROPN
ap-959	74	49	�	�	PROPN
ap-959	74	50	�	�	PROPN
ap-959	74	51	�	�	PROPN
ap-959	74	52	�	�	PROPN
ap-959	74	53	�	�	PROPN
ap-959	74	54	�	�	PROPN
ap-959	74	55	�	�	PROPN
ap-959	74	56	�	�	PROPN
ap-959	74	57	�	�	PROPN
ap-959	74	58	�	�	PROPN
ap-959	74	59	�	�	PROPN
ap-959	74	60	�	�	PROPN
ap-959	74	61	j	j	PROPN
ap-959	74	62	j	j	PROPN
ap-959	74	63	n	n	CCONJ
ap-959	74	64	j	j	PROPN
ap-959	74	65	k	k	PROPN
ap-959	74	66	k	k	PROPN
ap-959	74	67	jk	jk	PROPN
ap-959	74	68	jq	jq	PROPN
ap-959	74	69	q	q	PROPN
ap-959	74	70	q	q	PROPN
ap-959	74	71	j	j	PROPN
ap-959	74	72	,	,	PUNCT
ap-959	74	73	,	,	PUNCT
ap-959	74	74	�	�	PROPN
ap-959	74	75	,	,	PUNCT
ap-959	74	76	n	n	PRON
ap-959	74	77	2	2	NUM
ap-959	74	78	.	.	PUNCT
ap-959	75	1	a	a	DET
ap-959	75	2	vacuum	vacuum	NOUN
ap-959	75	3	corresponds	correspond	VERB
ap-959	75	4	to	to	ADP
ap-959	75	5	a	a	DET
ap-959	75	6	particular	particular	ADJ
ap-959	75	7	solution	solution	NOUN
ap-959	75	8	to	to	ADP
ap-959	75	9	these	these	DET
ap-959	75	10	equations	equation	NOUN
ap-959	75	11	which	which	PRON
ap-959	75	12	is	be	AUX
ap-959	75	13	a	a	DET
ap-959	75	14	continuous	continuous	ADJ
ap-959	75	15	deformation	deformation	NOUN
ap-959	75	16	from	from	ADP
ap-959	75	17	the	the	DET
ap-959	75	18	free	free	ADJ
ap-959	75	19	fermion	fermion	NOUN
ap-959	75	20	case	case	NOUN
ap-959	75	21	.	.	PUNCT
ap-959	76	1	so	so	ADV
ap-959	76	2	,	,	PUNCT
ap-959	76	3	we	we	PRON
ap-959	76	4	see	see	VERB
ap-959	76	5	that	that	SCONJ
ap-959	76	6	the	the	DET
ap-959	76	7	vacuum	vacuum	NOUN
ap-959	76	8	is	be	AUX
ap-959	76	9	a	a	DET
ap-959	76	10	complicated	complicated	ADJ
ap-959	76	11	state	state	NOUN
ap-959	76	12	which	which	PRON
ap-959	76	13	hardly	hardly	ADV
ap-959	76	14	allows	allow	VERB
ap-959	76	15	a	a	DET
ap-959	76	16	mathematically	mathematically	ADV
ap-959	76	17	satisfactory	satisfactory	ADJ
ap-959	76	18	description	description	NOUN
ap-959	76	19	in	in	ADP
ap-959	76	20	the	the	DET
ap-959	76	21	case	case	NOUN
ap-959	76	22	n	n	PRON
ap-959	76	23	�	�	PROPN
ap-959	76	24	�	�	PROPN
ap-959	76	25	.	.	PROPN
ap-959	76	26	2	2	NUM
ap-959	76	27	lecture	lecture	NOUN
ap-959	76	28	2	2	NUM
ap-959	76	29	.	.	PUNCT
ap-959	77	1	let	let	VERB
ap-959	77	2	us	we	PRON
ap-959	77	3	return	return	VERB
ap-959	77	4	to	to	ADP
ap-959	77	5	our	our	PRON
ap-959	77	6	main	main	ADJ
ap-959	77	7	problem	problem	NOUN
ap-959	77	8	.	.	PUNCT
ap-959	78	1	we	we	PRON
ap-959	78	2	want	want	VERB
ap-959	78	3	to	to	PART
ap-959	78	4	calculate	calculate	VERB
ap-959	78	5	vac	vac	NOUN
ap-959	78	6	vac	vac	NOUN
ap-959	78	7	vac	vac	NOUN
ap-959	78	8	vac	vac	NOUN
ap-959	78	9	q	q	NOUN
ap-959	79	1	q	q	X
ap-959	79	2	s	s	X
ap-959	79	3	s	s	NOUN
ap-959	79	4	2	2	NUM
ap-959	79	5	0	0	NUM
ap-959	79	6	2	2	NUM
ap-959	79	7	0	0	NUM
ap-959	79	8	�	�	PROPN
ap-959	79	9	�	�	PROPN
ap-959	79	10	(	(	PUNCT
ap-959	79	11	)	)	PUNCT
ap-959	79	12	(	(	PUNCT
ap-959	79	13	)	)	PUNCT
ap-959	79	14	�	�	PROPN
ap-959	79	15	.	.	PUNCT
ap-959	80	1	consider	consider	VERB
ap-959	80	2	the	the	DET
ap-959	80	3	free	free	ADJ
ap-959	80	4	fermion	fermion	NOUN
ap-959	80	5	case	case	NOUN
ap-959	80	6	.	.	PUNCT
ap-959	81	1	one	one	NUM
ap-959	81	2	easily	easily	ADV
ap-959	81	3	calculates	calculate	VERB
ap-959	81	4	:	:	PUNCT
ap-959	81	5	s	s	X
ap-959	81	6	(	(	PUNCT
ap-959	81	7	)	)	PUNCT
ap-959	81	8	:	:	PUNCT
ap-959	81	9	(	(	PUNCT
ap-959	81	10	)	)	PUNCT
ap-959	81	11	(	(	PUNCT
ap-959	81	12	0	0	NUM
ap-959	81	13	1	1	NUM
ap-959	81	14	1	1	NUM
ap-959	81	15	12	12	NUM
ap-959	81	16	1	1	NUM
ap-959	81	17	2	2	NUM
ap-959	81	18	1	1	NUM
ap-959	81	19	2	2	NUM
ap-959	81	20	2	2	NUM
ap-959	81	21	2	2	NUM
ap-959	81	22	2	2	NUM
ap-959	81	23	2	2	NUM
ap-959	81	24	1	1	NUM
ap-959	81	25	1	1	NUM
ap-959	81	26	1	1	NUM
ap-959	81	27	2	2	NUM
ap-959	81	28	2	2	NUM
ap-959	81	29	1	1	NUM
ap-959	81	30	2	2	NUM
ap-959	81	31	�	�	PROPN
ap-959	81	32	�	�	PROPN
ap-959	81	33	�	�	PROPN
ap-959	81	34	�	�	PROPN
ap-959	81	35	�	�	PROPN
ap-959	81	36	�	�	PROPN
ap-959	81	37	�	�	PROPN
ap-959	81	38	�	�	PROPN
ap-959	81	39	�	�	PROPN
ap-959	81	40	�	�	PROPN
ap-959	81	41	�	�	PROPN
ap-959	81	42	�	�	PROPN
ap-959	81	43	�	�	PROPN
ap-959	81	44	d	d	PROPN
ap-959	81	45	d	d	PROPN
ap-959	81	46	2	2	NUM
ap-959	81	47	1	1	NUM
ap-959	81	48	2	2	NUM
ap-959	81	49	2	2	NUM
ap-959	81	50	2	2	NUM
ap-959	81	51	1	1	NUM
ap-959	81	52	0	0	NUM
ap-959	81	53	)	)	PUNCT
ap-959	81	54	:	:	PUNCT
ap-959	81	55	�	�	PROPN
ap-959	81	56	�	�	PROPN
ap-959	81	57	,	,	PUNCT
ap-959	81	58	where	where	SCONJ
ap-959	81	59	:	:	PUNCT
ap-959	81	60	:	:	PUNCT
ap-959	81	61	stands	stand	VERB
ap-959	81	62	for	for	ADP
ap-959	81	63	normal	normal	ADJ
ap-959	81	64	ordering	ordering	NOUN
ap-959	81	65	with	with	ADP
ap-959	81	66	respect	respect	NOUN
ap-959	81	67	to	to	ADP
ap-959	81	68	the	the	DET
ap-959	81	69	creation	creation	NOUN
ap-959	81	70	-	-	PUNCT
ap-959	81	71	annihilation	annihilation	NOUN
ap-959	81	72	parts	part	NOUN
ap-959	81	73	of	of	ADP
ap-959	81	74	fermions	fermion	NOUN
ap-959	81	75	discussed	discuss	VERB
ap-959	81	76	before	before	ADV
ap-959	81	77	.	.	PUNCT
ap-959	82	1	for	for	ADP
ap-959	82	2	further	further	ADJ
ap-959	82	3	computation	computation	NOUN
ap-959	82	4	i	i	PRON
ap-959	82	5	need	need	VERB
ap-959	82	6	the	the	DET
ap-959	82	7	formula	formula	NOUN
ap-959	82	8	:	:	PUNCT
ap-959	82	9	e	e	X
ap-959	82	10	es	es	ADP
ap-959	82	11	z2	z2	PROPN
ap-959	82	12	0	0	NUM
ap-959	82	13	�	�	PROPN
ap-959	82	14	�	�	PROPN
ap-959	82	15	(	(	PUNCT
ap-959	82	16	)	)	PUNCT
ap-959	82	17	:	:	PUNCT
ap-959	82	18	:	:	PUNCT
ap-959	82	19	�	�	PROPN
ap-959	82	20	.	.	PUNCT
ap-959	83	1	this	this	PRON
ap-959	83	2	is	be	AUX
ap-959	83	3	a	a	DET
ap-959	83	4	simple	simple	ADJ
ap-959	83	5	exercise	exercise	NOUN
ap-959	83	6	on	on	ADP
ap-959	83	7	normal	normal	ADJ
ap-959	83	8	reordering	reordering	NOUN
ap-959	83	9	of	of	ADP
ap-959	83	10	an	an	DET
ap-959	83	11	exponent	exponent	NOUN
ap-959	83	12	of	of	ADP
ap-959	83	13	quadratic	quadratic	ADJ
ap-959	83	14	form	form	NOUN
ap-959	83	15	.	.	PUNCT
ap-959	84	1	one	one	NUM
ap-959	84	2	finds	find	VERB
ap-959	84	3	:	:	PUNCT
ap-959	84	4	z	z	PROPN
ap-959	84	5	�	�	PROPN
ap-959	84	6	�	�	PROPN
ap-959	84	7	�	�	PROPN
ap-959	84	8	�	�	PROPN
ap-959	84	9	�	�	PROPN
ap-959	84	10	�	�	PROPN
ap-959	84	11	�	�	PROPN
ap-959	84	12	�	�	PROPN
ap-959	84	13	�	�	PROPN
ap-959	84	14	�	�	PROPN
ap-959	84	15	�	�	PROPN
ap-959	84	16	�	�	PROPN
ap-959	84	17	�	�	PROPN
ap-959	84	18	�	�	PROPN
ap-959	84	19	4	4	NUM
ap-959	84	20	2	2	NUM
ap-959	84	21	1	1	NUM
ap-959	84	22	13	13	NUM
ap-959	84	23	1	1	NUM
ap-959	84	24	2	2	NUM
ap-959	84	25	1	1	NUM
ap-959	84	26	2	2	NUM
ap-959	84	27	2	2	NUM
ap-959	84	28	2	2	NUM
ap-959	84	29	2	2	NUM
ap-959	84	30	2	2	NUM
ap-959	84	31	1	1	NUM
ap-959	84	32	1	1	NUM
ap-959	84	33	1	1	NUM
ap-959	84	34	2	2	NUM
ap-959	84	35	2	2	NUM
ap-959	84	36	1	1	NUM
ap-959	84	37	2	2	NUM
ap-959	84	38	sin	sin	NOUN
ap-959	84	39	:	:	PUNCT
ap-959	84	40	(	(	PUNCT
ap-959	84	41	)	)	PUNCT
ap-959	84	42	d	d	X
ap-959	84	43	d	d	X
ap-959	84	44	�	�	PROPN
ap-959	84	45	�	�	PROPN
ap-959	84	46	�	�	PROPN
ap-959	84	47	�	�	PROPN
ap-959	84	48	�	�	PROPN
ap-959	84	49	�	�	PROPN
ap-959	84	50	�	�	PROPN
ap-959	84	51	(	(	PUNCT
ap-959	84	52	)	)	PUNCT
ap-959	84	53	:	:	PUNCT
ap-959	84	54	,	,	PUNCT
ap-959	84	55	2	2	NUM
ap-959	84	56	1	1	NUM
ap-959	84	57	2	2	NUM
ap-959	84	58	1	1	NUM
ap-959	84	59	2	2	NUM
ap-959	84	60	2	2	NUM
ap-959	84	61	2	2	NUM
ap-959	84	62	0	0	NUM
ap-959	84	63	from	from	ADP
ap-959	84	64	this	this	DET
ap-959	84	65	formula	formula	NOUN
ap-959	84	66	one	one	NOUN
ap-959	84	67	easily	easily	ADV
ap-959	84	68	derives	derive	VERB
ap-959	84	69	:	:	PUNCT
ap-959	84	70	vac	vac	NOUN
ap-959	84	71	vac	vac	NOUN
ap-959	84	72	vac	vac	NOUN
ap-959	84	73	q	q	NOUN
ap-959	85	1	q	q	X
ap-959	85	2	s	s	X
ap-959	85	3	k	k	X
ap-959	85	4	k	k	PROPN
ap-959	85	5	s	s	PROPN
ap-959	85	6	2	2	NUM
ap-959	85	7	0	0	NUM
ap-959	85	8	1	1	NUM
ap-959	85	9	1	1	NUM
ap-959	85	10	2	2	NUM
ap-959	85	11	�	�	PROPN
ap-959	85	12	�	�	PROPN
ap-959	85	13	�	�	PROPN
ap-959	85	14	�	�	PROPN
ap-959	85	15	�	�	PROPN
ap-959	85	16	�	�	PROPN
ap-959	85	17	(	(	PUNCT
ap-959	85	18	)	)	PUNCT
ap-959	85	19	(	(	PUNCT
ap-959	85	20	)	)	PUNCT
ap-959	85	21	(	(	PUNCT
ap-959	85	22	)	)	PUNCT
ap-959	85	23	(	(	PUNCT
ap-959	85	24	)	)	PUNCT
ap-959	85	25	(	(	PUNCT
ap-959	85	26	)	)	PUNCT
ap-959	85	27	�	�	PROPN
ap-959	85	28	�	�	PROPN
ap-959	85	29	�	�	PROPN
ap-959	85	30	�	�	PROPN
ap-959	85	31	�	�	PROPN
ap-959	85	32	�	�	PROPN
ap-959	85	33	�	�	PROPN
ap-959	85	34	�	�	PROPN
ap-959	85	35	�	�	PROPN
ap-959	85	36	�	�	PROPN
ap-959	85	37	(	(	PUNCT
ap-959	85	38	)	)	PUNCT
ap-959	85	39	det	det	PROPN
ap-959	85	40	(	(	PUNCT
ap-959	85	41	,	,	PUNCT
ap-959	85	42	)	)	PUNCT
ap-959	85	43	0	0	NUM
ap-959	86	1	vac	vac	PROPN
ap-959	86	2	�	�	PROPN
ap-959	86	3	�	�	PROPN
ap-959	86	4	�	�	PROPN
ap-959	86	5	�	�	PROPN
ap-959	86	6	i	i	PRON
ap-959	86	7	j	j	PROPN
ap-959	86	8	where	where	SCONJ
ap-959	86	9	�	�	PROPN
ap-959	86	10	(	(	PUNCT
ap-959	86	11	,	,	PUNCT
ap-959	86	12	)	)	PUNCT
ap-959	86	13	1	1	NUM
ap-959	86	14	2	2	NUM
ap-959	86	15	is	be	AUX
ap-959	86	16	the	the	DET
ap-959	86	17	two	two	NUM
ap-959	86	18	-	-	PUNCT
ap-959	86	19	point	point	NOUN
ap-959	86	20	green	green	ADJ
ap-959	86	21	function	function	NOUN
ap-959	86	22	:	:	PUNCT
ap-959	86	23	�	�	PROPN
ap-959	86	24	�	�	PROPN
ap-959	86	25	(	(	PUNCT
ap-959	86	26	,	,	PUNCT
ap-959	86	27	)	)	PUNCT
ap-959	86	28	(	(	PUNCT
ap-959	86	29	)	)	PUNCT
ap-959	86	30	(	(	PUNCT
ap-959	86	31	)	)	PUNCT
ap-959	86	32	(	(	PUNCT
ap-959	86	33	)	)	PUNCT
ap-959	86	34	1	1	NUM
ap-959	86	35	2	2	NUM
ap-959	86	36	2	2	NUM
ap-959	86	37	2	2	NUM
ap-959	86	38	1	1	NUM
ap-959	86	39	2	2	NUM
ap-959	86	40	2	2	NUM
ap-959	86	41	2	2	NUM
ap-959	86	42	1	1	NUM
ap-959	86	43	2	2	NUM
ap-959	86	44	2	2	NUM
ap-959	86	45	2	2	NUM
ap-959	86	46	2	2	NUM
ap-959	86	47	1	1	NUM
ap-959	86	48	1	1	NUM
ap-959	86	49	1	1	NUM
ap-959	86	50	1	1	NUM
ap-959	86	51	2	2	NUM
ap-959	86	52	2	2	NUM
ap-959	86	53	1	1	NUM
ap-959	86	54	�	�	PROPN
ap-959	86	55	�	�	PROPN
ap-959	86	56	�	�	PROPN
ap-959	86	57	�	�	PROPN
ap-959	86	58	�	�	PROPN
ap-959	86	59	�	�	PROPN
ap-959	86	60	�	�	PROPN
ap-959	86	61	�	�	PROPN
ap-959	86	62	y	y	PROPN
ap-959	86	63	y	y	PROPN
ap-959	86	64	y	y	PROPN
ap-959	86	65	y	y	PROPN
ap-959	86	66	�	�	PROPN
ap-959	86	67	2	2	NUM
ap-959	86	68	1	1	NUM
ap-959	86	69	2	2	NUM
ap-959	86	70	2	2	NUM
ap-959	86	71	2	2	NUM
ap-959	86	72	�	�	PROPN
ap-959	86	73	�	�	PROPN
ap-959	86	74	,	,	PUNCT
ap-959	86	75	where	where	SCONJ
ap-959	86	76	y	y	PROPN
ap-959	86	77	e	e	PROPN
ap-959	86	78	i	i	PRON
ap-959	86	79	�	�	PROPN
ap-959	86	80	�	�	PROPN
ap-959	86	81	�	�	PROPN
ap-959	86	82	2	2	NUM
ap-959	86	83	.	.	PUNCT
ap-959	87	1	i	i	PRON
ap-959	87	2	want	want	VERB
ap-959	87	3	to	to	PART
ap-959	87	4	rewrite	rewrite	VERB
ap-959	87	5	this	this	DET
ap-959	87	6	answer	answer	NOUN
ap-959	87	7	differently	differently	ADV
ap-959	87	8	,	,	PUNCT
ap-959	87	9	but	but	CCONJ
ap-959	87	10	let	let	VERB
ap-959	87	11	me	i	PRON
ap-959	87	12	first	first	ADV
ap-959	87	13	explain	explain	VERB
ap-959	87	14	my	my	PRON
ap-959	87	15	logic	logic	NOUN
ap-959	87	16	.	.	PUNCT
ap-959	88	1	i	i	PRON
ap-959	88	2	appeal	appeal	VERB
ap-959	88	3	to	to	ADP
ap-959	88	4	an	an	DET
ap-959	88	5	analogy	analogy	NOUN
ap-959	88	6	with	with	ADP
ap-959	88	7	conformal	conformal	ADJ
ap-959	88	8	field	field	NOUN
ap-959	88	9	theory	theory	NOUN
ap-959	88	10	(	(	PUNCT
ap-959	88	11	cft	cft	PROPN
ap-959	88	12	)	)	PUNCT
ap-959	88	13	.	.	PUNCT
ap-959	89	1	it	it	PRON
ap-959	89	2	is	be	AUX
ap-959	89	3	well	well	ADV
ap-959	89	4	-	-	PUNCT
ap-959	89	5	known	know	VERB
ap-959	89	6	that	that	SCONJ
ap-959	89	7	on	on	ADP
ap-959	89	8	long	long	ADJ
ap-959	89	9	distances	distance	NOUN
ap-959	89	10	the	the	DET
ap-959	89	11	xxz	xxz	NOUN
ap-959	89	12	model	model	NOUN
ap-959	89	13	is	be	AUX
ap-959	89	14	described	describe	VERB
ap-959	89	15	by	by	ADP
ap-959	89	16	cft	cft	PROPN
ap-959	89	17	with	with	ADP
ap-959	89	18	c	c	PROPN
ap-959	89	19	�	�	PROPN
ap-959	89	20	1	1	NUM
ap-959	89	21	.	.	PUNCT
ap-959	90	1	moreover	moreover	ADV
ap-959	90	2	,	,	PUNCT
ap-959	90	3	the	the	DET
ap-959	90	4	xxz	xxz	NOUN
ap-959	90	5	model	model	NOUN
ap-959	90	6	can	can	AUX
ap-959	90	7	be	be	AUX
ap-959	90	8	considered	consider	VERB
ap-959	90	9	as	as	ADP
ap-959	90	10	a	a	DET
ap-959	90	11	perturbation	perturbation	NOUN
ap-959	90	12	of	of	ADP
ap-959	90	13	this	this	DET
ap-959	90	14	cft	cft	NOUN
ap-959	90	15	by	by	ADP
ap-959	90	16	an	an	DET
ap-959	90	17	infinite	infinite	ADJ
ap-959	90	18	number	number	NOUN
ap-959	90	19	of	of	ADP
ap-959	90	20	irrelevant	irrelevant	ADJ
ap-959	90	21	operators	operator	NOUN
ap-959	90	22	.	.	PUNCT
ap-959	91	1	here	here	ADV
ap-959	91	2	,	,	PUNCT
ap-959	91	3	contrary	contrary	ADV
ap-959	91	4	to	to	ADP
ap-959	91	5	the	the	DET
ap-959	91	6	perturbation	perturbation	NOUN
ap-959	91	7	of	of	ADP
ap-959	91	8	relativistic	relativistic	ADJ
ap-959	91	9	quantum	quantum	ADJ
ap-959	91	10	field	field	NOUN
ap-959	91	11	theory	theory	NOUN
ap-959	91	12	the	the	DET
ap-959	91	13	flow	flow	NOUN
ap-959	91	14	of	of	ADP
ap-959	91	15	the	the	DET
ap-959	91	16	renormalization	renormalization	NOUN
ap-959	91	17	group	group	NOUN
ap-959	91	18	goes	go	VERB
ap-959	91	19	from	from	ADP
ap-959	91	20	infrared	infrared	NOUN
ap-959	91	21	to	to	PART
ap-959	91	22	finite	finite	VERB
ap-959	91	23	distances	distance	NOUN
ap-959	91	24	.	.	PUNCT
ap-959	92	1	the	the	DET
ap-959	92	2	main	main	ADJ
ap-959	92	3	object	object	NOUN
ap-959	92	4	for	for	ADP
ap-959	92	5	cft	cft	NOUN
ap-959	92	6	is	be	AUX
ap-959	92	7	not	not	PART
ap-959	92	8	the	the	DET
ap-959	92	9	space	space	NOUN
ap-959	92	10	of	of	ADP
ap-959	92	11	states	state	NOUN
ap-959	92	12	,	,	PUNCT
ap-959	92	13	but	but	CCONJ
ap-959	92	14	the	the	DET
ap-959	92	15	space	space	NOUN
ap-959	92	16	operators	operator	NOUN
ap-959	92	17	.	.	PUNCT
ap-959	93	1	following	follow	VERB
ap-959	93	2	this	this	DET
ap-959	93	3	analogy	analogy	NOUN
ap-959	93	4	let	let	VERB
ap-959	93	5	me	i	PRON
ap-959	93	6	denote	denote	VERB
ap-959	93	7	by	by	ADP
ap-959	93	8	w	w	PROPN
ap-959	93	9	�	�	PROPN
ap-959	93	10	,0	,0	PUNCT
ap-959	93	11	the	the	DET
ap-959	93	12	space	space	NOUN
ap-959	93	13	of	of	ADP
ap-959	93	14	the	the	DET
ap-959	93	15	spinless	spinless	ADJ
ap-959	93	16	operators	operator	NOUN
ap-959	93	17	for	for	ADP
ap-959	93	18	the	the	DET
ap-959	93	19	xxz	xxz	PROPN
ap-959	93	20	model	model	NOUN
ap-959	93	21	of	of	ADP
ap-959	93	22	the	the	DET
ap-959	93	23	form	form	NOUN
ap-959	93	24	q	q	PROPN
ap-959	93	25	s2	s2	PROPN
ap-959	93	26	0	0	NUM
ap-959	93	27	�	�	PROPN
ap-959	93	28	(	(	PUNCT
ap-959	93	29	)	)	PUNCT
ap-959	93	30	�	�	PROPN
ap-959	93	31	.	.	PUNCT
ap-959	94	1	in	in	ADP
ap-959	94	2	the	the	DET
ap-959	94	3	conformal	conformal	ADJ
ap-959	94	4	limit	limit	NOUN
ap-959	94	5	this	this	DET
ap-959	94	6	space	space	NOUN
ap-959	94	7	goes	go	VERB
ap-959	94	8	to	to	ADP
ap-959	94	9	the	the	DET
ap-959	94	10	space	space	NOUN
ap-959	94	11	of	of	ADP
ap-959	94	12	descendants	descendant	NOUN
ap-959	94	13	of	of	ADP
ap-959	94	14	the	the	DET
ap-959	94	15	primary	primary	ADJ
ap-959	94	16	field	field	NOUN
ap-959	94	17	�	�	PROPN
ap-959	94	18	�	�	PROPN
ap-959	94	19	�	�	PROPN
ap-959	94	20	�	�	PROPN
ap-959	94	21	�	�	PROPN
ap-959	94	22	�	�	PROPN
ap-959	94	23	�	�	PROPN
ap-959	94	24	�	�	PROPN
ap-959	94	25	�	�	PROPN
ap-959	94	26	�	�	PROPN
ap-959	94	27	�	�	PROPN
ap-959	94	28	e	e	NOUN
ap-959	94	29	i	i	PROPN
ap-959	94	30	(	(	PUNCT
ap-959	94	31	)	)	PUNCT
ap-959	94	32	(	(	PUNCT
ap-959	94	33	)	)	PUNCT
ap-959	94	34	1	1	NUM
ap-959	94	35	2	2	NUM
ap-959	94	36	here	here	ADV
ap-959	94	37	(	(	PUNCT
ap-959	94	38	)	)	PUNCT
ap-959	94	39	�	�	PROPN
ap-959	94	40	�	�	PROPN
ap-959	94	41	�	�	PROPN
ap-959	94	42	,	,	PUNCT
ap-959	94	43	are	be	AUX
ap-959	94	44	two	two	NUM
ap-959	94	45	chiral	chiral	ADJ
ap-959	94	46	bosonic	bosonic	NOUN
ap-959	94	47	fields	field	NOUN
ap-959	94	48	.	.	PUNCT
ap-959	95	1	the	the	DET
ap-959	95	2	descendants	descendant	NOUN
ap-959	95	3	are	be	AUX
ap-959	95	4	created	create	VERB
ap-959	95	5	by	by	ADP
ap-959	95	6	the	the	DET
ap-959	95	7	action	action	NOUN
ap-959	95	8	of	of	ADP
ap-959	95	9	two	two	NUM
ap-959	95	10	chiral	chiral	ADJ
ap-959	95	11	virasoro	virasoro	NOUN
ap-959	95	12	algebras	algebra	NOUN
ap-959	95	13	:	:	PUNCT
ap-959	95	14	[	[	PUNCT
ap-959	95	15	,	,	PUNCT
ap-959	95	16	]	]	X
ap-959	95	17	(	(	PUNCT
ap-959	95	18	)	)	PUNCT
ap-959	95	19	(	(	PUNCT
ap-959	95	20	)	)	PUNCT
ap-959	95	21	,	,	PUNCT
ap-959	95	22	l	l	X
ap-959	95	23	l	l	X
ap-959	95	24	m	m	VERB
ap-959	95	25	n	n	ADP
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ap-959	95	27	n	n	VERB
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ap-959	95	29	n	n	VERB
ap-959	95	30	m	m	VERB
ap-959	95	31	n	n	PRON
ap-959	95	32	m	m	PROPN
ap-959	95	33	n	n	CCONJ
ap-959	95	34	�	�	PROPN
ap-959	95	35	�	�	PROPN
ap-959	95	36	�	�	PROPN
ap-959	95	37	�	�	PROPN
ap-959	95	38	�	�	PROPN
ap-959	95	39	�	�	PROPN
ap-959	95	40	1	1	NUM
ap-959	95	41	12	12	NUM
ap-959	95	42	12	12	NUM
ap-959	95	43	�	�	NOUN
ap-959	95	44	,	,	PUNCT
ap-959	95	45	[	[	PUNCT
ap-959	95	46	,	,	PUNCT
ap-959	95	47	]	]	X
ap-959	95	48	(	(	PUNCT
ap-959	95	49	)	)	PUNCT
ap-959	95	50	(	(	PUNCT
ap-959	95	51	)	)	PUNCT
ap-959	95	52	,	,	PUNCT
ap-959	95	53	l	l	X
ap-959	95	54	l	l	X
ap-959	95	55	m	m	VERB
ap-959	95	56	n	n	ADP
ap-959	95	57	l	l	NOUN
ap-959	95	58	n	n	VERB
ap-959	95	59	nm	nm	ADV
ap-959	95	60	n	n	VERB
ap-959	95	61	m	m	VERB
ap-959	95	62	n	n	PRON
ap-959	95	63	m	m	PROPN
ap-959	95	64	n	n	CCONJ
ap-959	95	65	�	�	PROPN
ap-959	95	66	�	�	PROPN
ap-959	95	67	�	�	PROPN
ap-959	95	68	�	�	PROPN
ap-959	95	69	�	�	PROPN
ap-959	95	70	�	�	PROPN
ap-959	95	71	1	1	NUM
ap-959	95	72	12	12	NUM
ap-959	95	73	12	12	NUM
ap-959	95	74	�	�	PROPN
ap-959	95	75	.	.	PUNCT
ap-959	96	1	we	we	PRON
ap-959	96	2	have	have	VERB
ap-959	96	3	:	:	PUNCT
ap-959	97	1	l	l	X
ap-959	97	2	l	l	X
ap-959	97	3	mm	mm	INTJ
ap-959	97	4	m	m	PROPN
ap-959	97	5	(	(	PUNCT
ap-959	97	6	)	)	PUNCT
ap-959	97	7	(	(	PUNCT
ap-959	97	8	)	)	PUNCT
ap-959	97	9	,	,	PUNCT
ap-959	97	10	,	,	PUNCT
ap-959	97	11	�	�	PROPN
ap-959	97	12	�	�	PROPN
ap-959	97	13	�	�	PROPN
ap-959	97	14	�	�	PROPN
ap-959	97	15	�	�	PROPN
ap-959	97	16	�	�	PROPN
ap-959	97	17	0	0	NUM
ap-959	97	18	0	0	NUM
ap-959	97	19	l	l	NOUN
ap-959	97	20	l0	l0	NOUN
ap-959	97	21	0	0	NUM
ap-959	97	22	(	(	PUNCT
ap-959	97	23	)	)	PUNCT
ap-959	97	24	(	(	PUNCT
ap-959	97	25	)	)	PUNCT
ap-959	97	26	,	,	PUNCT
ap-959	97	27	�	�	PROPN
ap-959	97	28	�	�	PROPN
ap-959	97	29	�	�	PROPN
ap-959	97	30	�	�	PROPN
ap-959	97	31	�	�	PROPN
ap-959	97	32	�	�	PROPN
ap-959	97	33	�	�	PROPN
ap-959	97	34	�	�	PROPN
ap-959	97	35	�	�	PROPN
ap-959	97	36	�	�	PROPN
ap-959	97	37	where	where	SCONJ
ap-959	97	38	�	�	PROPN
ap-959	97	39	�	�	PROPN
ap-959	97	40	�	�	PROPN
ap-959	97	41	�	�	PROPN
ap-959	97	42	�	�	PROPN
ap-959	97	43	�	�	PROPN
ap-959	97	44	�	�	PROPN
ap-959	97	45	�	�	PROPN
ap-959	97	46	�	�	PROPN
ap-959	97	47	(	(	PUNCT
ap-959	97	48	(	(	PUNCT
ap-959	97	49	)	)	PUNCT
ap-959	97	50	)	)	PUNCT
ap-959	97	51	1	1	NUM
ap-959	97	52	2	2	NUM
ap-959	97	53	8	8	NUM
ap-959	97	54	is	be	AUX
ap-959	97	55	the	the	DET
ap-959	97	56	anomalous	anomalous	ADJ
ap-959	97	57	dimension	dimension	NOUN
ap-959	97	58	.	.	PUNCT
ap-959	98	1	the	the	DET
ap-959	98	2	space	space	NOUN
ap-959	98	3	of	of	ADP
ap-959	98	4	spinless	spinless	ADJ
ap-959	98	5	descendants	descendant	NOUN
ap-959	98	6	is	be	AUX
ap-959	98	7	spun	spin	VERB
ap-959	98	8	by	by	ADP
ap-959	98	9	the	the	DET
ap-959	98	10	vectors	vector	NOUN
ap-959	98	11	l	l	NOUN
ap-959	98	12	l	l	NOUN
ap-959	98	13	l	l	NOUN
ap-959	99	1	lk	lk	NOUN
ap-959	99	2	k	k	PROPN
ap-959	99	3	l	l	PROPN
ap-959	99	4	lp	lp	PROPN
ap-959	99	5	p	p	PROPN
ap-959	99	6	�	�	PROPN
ap-959	99	7	�	�	PROPN
ap-959	99	8	�	�	PROPN
ap-959	99	9	�	�	PROPN
ap-959	99	10	1	1	NUM
ap-959	99	11	1	1	NUM
ap-959	99	12	�	�	PROPN
ap-959	99	13	�	�	PROPN
ap-959	99	14	(	(	PUNCT
ap-959	99	15	)	)	PUNCT
ap-959	99	16	�	�	PROPN
ap-959	99	17	�	�	PROPN
ap-959	99	18	.	.	PUNCT
ap-959	100	1	after	after	ADP
ap-959	100	2	perturbation	perturbation	NOUN
ap-959	100	3	,	,	PUNCT
ap-959	100	4	the	the	DET
ap-959	100	5	descendants	descendant	NOUN
ap-959	100	6	acquire	acquire	VERB
ap-959	100	7	the	the	DET
ap-959	100	8	vacuum	vacuum	NOUN
ap-959	100	9	expectation	expectation	NOUN
ap-959	100	10	values	value	NOUN
ap-959	100	11	.	.	PUNCT
ap-959	101	1	the	the	DET
ap-959	101	2	question	question	NOUN
ap-959	101	3	which	which	PRON
ap-959	101	4	a.	a.	NOUN
ap-959	101	5	zamolodchikov	zamolodchikov	PROPN
ap-959	101	6	asked	ask	VERB
ap-959	101	7	me	i	PRON
ap-959	101	8	long	long	ADV
ap-959	101	9	ago	ago	ADV
ap-959	101	10	is	be	AUX
ap-959	101	11	whether	whether	SCONJ
ap-959	101	12	it	it	PRON
ap-959	101	13	is	be	AUX
ap-959	101	14	possible	possible	ADJ
ap-959	101	15	to	to	PART
ap-959	101	16	write	write	VERB
ap-959	101	17	find	find	VERB
ap-959	101	18	a	a	DET
ap-959	101	19	covector	covector	NOUN
ap-959	101	20	0	0	NUM
ap-959	102	1	1	1	NUM
ap-959	102	2	2	2	NUM
ap-959	102	3	1	1	NUM
ap-959	102	4	2f	2f	NUM
ap-959	102	5	l	l	NOUN
ap-959	102	6	l	l	NOUN
ap-959	102	7	l	l	X
ap-959	102	8	l	l	NOUN
ap-959	102	9	(	(	PUNCT
ap-959	102	10	,	,	PUNCT
ap-959	102	11	,	,	PUNCT
ap-959	102	12	,	,	PUNCT
ap-959	102	13	,	,	PUNCT
ap-959	102	14	,	,	PUNCT
ap-959	102	15	)	)	PUNCT
ap-959	102	16	�	�	PROPN
ap-959	102	17	�	�	PROPN
ap-959	102	18	(	(	PUNCT
ap-959	102	19	here	here	ADV
ap-959	102	20	0	0	NUM
ap-959	102	21	has	have	AUX
ap-959	102	22	nothing	nothing	PRON
ap-959	102	23	to	to	PART
ap-959	102	24	do	do	VERB
ap-959	102	25	with	with	ADP
ap-959	102	26	what	what	PRON
ap-959	102	27	was	be	AUX
ap-959	102	28	previously	previously	ADV
ap-959	102	29	used	use	VERB
ap-959	102	30	,	,	PUNCT
ap-959	102	31	it	it	PRON
ap-959	102	32	is	be	AUX
ap-959	102	33	the	the	DET
ap-959	102	34	virasoro	virasoro	NOUN
ap-959	102	35	left	leave	VERB
ap-959	102	36	vacuum	vacuum	NOUN
ap-959	102	37	0	0	PUNCT
ap-959	103	1	0l	0l	PRON
ap-959	103	2	lk	lk	PROPN
ap-959	103	3	k	k	PROPN
ap-959	103	4	�	�	PROPN
ap-959	103	5	�	�	PROPN
ap-959	103	6	�	�	PROPN
ap-959	103	7	for	for	ADP
ap-959	103	8	�	�	PROPN
ap-959	103	9	0	0	NUM
ap-959	103	10	)	)	PUNCT
ap-959	103	11	such	such	ADJ
ap-959	103	12	that	that	SCONJ
ap-959	103	13	the	the	DET
ap-959	103	14	vacuum	vacuum	NOUN
ap-959	103	15	expectation	expectation	NOUN
ap-959	103	16	values	value	NOUN
ap-959	103	17	are	be	AUX
ap-959	103	18	given	give	VERB
ap-959	103	19	by	by	ADP
ap-959	103	20	the	the	DET
ap-959	103	21	scalar	scalar	ADJ
ap-959	103	22	products	product	NOUN
ap-959	103	23	of	of	ADP
ap-959	103	24	this	this	DET
ap-959	103	25	covector	covector	NOUN
ap-959	103	26	with	with	ADP
ap-959	103	27	descendants	descendant	NOUN
ap-959	103	28	.	.	PUNCT
ap-959	104	1	at	at	ADP
ap-959	104	2	that	that	DET
ap-959	104	3	time	time	NOUN
ap-959	104	4	i	i	PRON
ap-959	104	5	was	be	AUX
ap-959	104	6	unable	unable	ADJ
ap-959	104	7	to	to	PART
ap-959	104	8	answer	answer	VERB
ap-959	104	9	this	this	DET
ap-959	104	10	question	question	NOUN
ap-959	104	11	,	,	PUNCT
ap-959	104	12	but	but	CCONJ
ap-959	104	13	in	in	ADP
ap-959	104	14	these	these	DET
ap-959	104	15	lectures	lecture	NOUN
ap-959	104	16	i	i	PRON
ap-959	104	17	shall	shall	AUX
ap-959	104	18	explain	explain	VERB
ap-959	104	19	a	a	DET
ap-959	104	20	construction	construction	NOUN
ap-959	104	21	which	which	PRON
ap-959	104	22	is	be	AUX
ap-959	104	23	very	very	ADV
ap-959	104	24	much	much	ADV
ap-959	104	25	in	in	ADP
ap-959	104	26	the	the	DET
ap-959	104	27	spirit	spirit	NOUN
ap-959	104	28	of	of	ADP
ap-959	104	29	this	this	DET
ap-959	104	30	point	point	NOUN
ap-959	104	31	of	of	ADP
ap-959	104	32	view	view	NOUN
ap-959	104	33	.	.	PUNCT
ap-959	105	1	so	so	ADV
ap-959	105	2	,	,	PUNCT
ap-959	105	3	our	our	PRON
ap-959	105	4	goal	goal	NOUN
ap-959	105	5	is	be	AUX
ap-959	105	6	to	to	PART
ap-959	105	7	start	start	VERB
ap-959	105	8	working	work	VERB
ap-959	105	9	in	in	ADP
ap-959	105	10	the	the	DET
ap-959	105	11	space	space	NOUN
ap-959	105	12	of	of	ADP
ap-959	105	13	the	the	DET
ap-959	105	14	operators	operator	NOUN
ap-959	105	15	and	and	CCONJ
ap-959	105	16	to	to	PART
ap-959	105	17	introduce	introduce	VERB
ap-959	105	18	the	the	DET
ap-959	105	19	operators	operator	NOUN
ap-959	105	20	acting	act	VERB
ap-959	105	21	in	in	ADP
ap-959	105	22	this	this	DET
ap-959	105	23	space	space	NOUN
ap-959	105	24	.	.	PUNCT
ap-959	106	1	let	let	VERB
ap-959	106	2	me	i	PRON
ap-959	106	3	give	give	VERB
ap-959	106	4	some	some	DET
ap-959	106	5	formal	formal	ADJ
ap-959	106	6	definitions	definition	NOUN
ap-959	106	7	.	.	PUNCT
ap-959	107	1	i	i	PRON
ap-959	107	2	have	have	AUX
ap-959	107	3	already	already	ADV
ap-959	107	4	defined	define	VERB
ap-959	107	5	the	the	DET
ap-959	107	6	space	space	NOUN
ap-959	107	7	w	w	PROPN
ap-959	107	8	�	�	PROPN
ap-959	107	9	,0	,0	PUNCT
ap-959	107	10	.	.	PUNCT
ap-959	108	1	similarly	similarly	ADV
ap-959	108	2	i	i	PRON
ap-959	108	3	define	define	VERB
ap-959	108	4	the	the	DET
ap-959	108	5	spaces	space	NOUN
ap-959	108	6	w	w	PROPN
ap-959	108	7	s	s	PROPN
ap-959	108	8	�	�	PROPN
ap-959	108	9	,	,	PUNCT
ap-959	108	10	of	of	ADP
ap-959	108	11	operators	operator	NOUN
ap-959	108	12	q	q	PROPN
ap-959	108	13	s2	s2	PROPN
ap-959	108	14	0	0	NUM
ap-959	108	15	�	�	PROPN
ap-959	108	16	(	(	PUNCT
ap-959	108	17	)	)	PUNCT
ap-959	108	18	�	�	PROPN
ap-959	108	19	of	of	ADP
ap-959	108	20	spin	spin	NOUN
ap-959	108	21	s	s	PART
ap-959	108	22	,	,	PUNCT
ap-959	108	23	and	and	CCONJ
ap-959	108	24	�	�	PROPN
ap-959	108	25	�	�	PROPN
ap-959	108	26	�	�	PROPN
ap-959	108	27	�	�	PROPN
ap-959	108	28	�	�	PROPN
ap-959	108	29	�	�	PROPN
ap-959	108	30	�	�	PROPN
ap-959	108	31	�	�	PROPN
ap-959	108	32	�	�	PROPN
ap-959	108	33	�	�	PROPN
ap-959	108	34	s	s	PART
ap-959	108	35	,	,	PUNCT
ap-959	108	36	s	s	PART
ap-959	108	37	.	.	PUNCT
ap-959	109	1	also	also	ADV
ap-959	109	2	,	,	PUNCT
ap-959	109	3	we	we	PRON
ap-959	109	4	shall	shall	AUX
ap-959	109	5	shift	shift	VERB
ap-959	109	6	�	�	PROPN
ap-959	109	7	by	by	ADP
ap-959	109	8	integers	integer	NOUN
ap-959	109	9	,	,	PUNCT
ap-959	109	10	so	so	CCONJ
ap-959	109	11	i	i	PRON
ap-959	109	12	introduce	introduce	VERB
ap-959	109	13	the	the	DET
ap-959	109	14	space	space	NOUN
ap-959	109	15	:	:	PUNCT
ap-959	109	16	©	©	PROPN
ap-959	109	17	czech	czech	PROPN
ap-959	109	18	technical	technical	PROPN
ap-959	109	19	university	university	PROPN
ap-959	109	20	publishing	publishing	NOUN
ap-959	109	21	house	house	NOUN
ap-959	109	22	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	109	23	31	31	NUM
ap-959	109	24	acta	acta	PROPN
ap-959	109	25	polytechnica	polytechnica	PROPN
ap-959	109	26	vol	vol	NOUN
ap-959	109	27	.	.	PUNCT
ap-959	110	1	48	48	NUM
ap-959	110	2	no	no	NOUN
ap-959	110	3	.	.	PUNCT
ap-959	111	1	2/2008	2/2008	PROPN
ap-959	111	2	�	�	PROPN
ap-959	111	3	�	�	PROPN
ap-959	111	4	[	[	PUNCT
ap-959	111	5	]	]	SYM
ap-959	111	6	�	�	PROPN
ap-959	111	7	�	�	PROPN
ap-959	111	8	�	�	PROPN
ap-959	111	9	�	�	PROPN
ap-959	111	10	�	�	PROPN
ap-959	111	11	�	�	PROPN
ap-959	111	12	�	�	PROPN
ap-959	111	13	�	�	PROPN
ap-959	111	14	�	�	PROPN
ap-959	111	15	k	k	PROPN
ap-959	111	16	k	k	PROPN
ap-959	111	17	.	.	PUNCT
ap-959	112	1	we	we	PRON
ap-959	112	2	shall	shall	AUX
ap-959	112	3	need	need	VERB
ap-959	112	4	an	an	DET
ap-959	112	5	analogue	analogue	NOUN
ap-959	112	6	of	of	ADP
ap-959	112	7	the	the	DET
ap-959	112	8	left	left	ADJ
ap-959	112	9	virasoro	virasoro	PROPN
ap-959	112	10	vacuum	vacuum	PROPN
ap-959	112	11	,	,	PUNCT
ap-959	112	12	i.e.	i.e.	X
ap-959	112	13	a	a	DET
ap-959	112	14	linear	linear	ADJ
ap-959	112	15	functional	functional	ADJ
ap-959	112	16	onw	onw	NOUN
ap-959	112	17	�	�	PROPN
ap-959	112	18	.	.	PUNCT
ap-959	113	1	first	first	ADV
ap-959	113	2	,	,	PUNCT
ap-959	113	3	introduce	introduce	VERB
ap-959	113	4	also	also	ADV
ap-959	113	5	the	the	DET
ap-959	113	6	linear	linear	ADJ
ap-959	113	7	functional	functional	ADJ
ap-959	113	8	on	on	ADP
ap-959	113	9	end	end	NOUN
ap-959	113	10	(	(	PUNCT
ap-959	113	11	)	)	PUNCT
ap-959	113	12	�	�	PROPN
ap-959	113	13	2	2	NUM
ap-959	113	14	:	:	PUNCT
ap-959	113	15	tr	tr	VERB
ap-959	113	16	tr	tr	VERB
ap-959	113	17	�	�	PROPN
ap-959	113	18	�	�	PROPN
ap-959	113	19	�	�	PROPN
ap-959	113	20	�	�	PROPN
ap-959	113	21	�	�	PROPN
ap-959	113	22	(	(	PUNCT
ap-959	113	23	)	)	PUNCT
ap-959	113	24	x	x	X
ap-959	113	25	q	q	X
ap-959	113	26	q	q	X
ap-959	113	27	q	q	NOUN
ap-959	113	28	x	x	PUNCT
ap-959	113	29	�	�	PROPN
ap-959	113	30	�	�	PROPN
ap-959	113	31	�	�	PROPN
ap-959	113	32	�	�	PROPN
ap-959	113	33	�	�	PROPN
ap-959	113	34	�	�	PROPN
ap-959	113	35	�	�	PROPN
ap-959	113	36	�	�	PROPN
ap-959	113	37	�	�	PROPN
ap-959	113	38	�	�	PROPN
ap-959	113	39	�	�	PROPN
ap-959	113	40	1	1	NUM
ap-959	113	41	2	2	NUM
ap-959	113	42	2	2	NUM
ap-959	113	43	1	1	NUM
ap-959	113	44	2	2	NUM
ap-959	113	45	3	3	NUM
ap-959	113	46	(	(	PUNCT
ap-959	113	47	2.1	2.1	NUM
ap-959	113	48	)	)	PUNCT
ap-959	113	49	with	with	ADP
ap-959	113	50	the	the	DET
ap-959	113	51	obvious	obvious	ADJ
ap-959	113	52	properties	property	NOUN
ap-959	113	53	:	:	PUNCT
ap-959	113	54	tr	tr	VERB
ap-959	113	55	tr	tr	VERB
ap-959	113	56	�	�	PROPN
ap-959	113	57	�	�	PROPN
ap-959	113	58	�	�	PROPN
ap-959	113	59	�	�	PROPN
ap-959	113	60	(	(	PUNCT
ap-959	113	61	)	)	PUNCT
ap-959	113	62	(	(	PUNCT
ap-959	113	63	)	)	SYM
ap-959	113	64	1	1	NUM
ap-959	113	65	1	1	NUM
ap-959	113	66	3	3	NUM
ap-959	113	67	�	�	PROPN
ap-959	113	68	�	�	PROPN
ap-959	113	69	q	q	PROPN
ap-959	113	70	.	.	PUNCT
ap-959	114	1	this	this	PRON
ap-959	114	2	gives	give	VERB
ap-959	114	3	rise	rise	NOUN
ap-959	114	4	to	to	ADP
ap-959	114	5	a	a	DET
ap-959	114	6	linear	linear	ADJ
ap-959	114	7	functional	functional	NOUN
ap-959	114	8	on	on	ADP
ap-959	114	9	�	�	PROPN
ap-959	114	10	�	�	PROPN
ap-959	114	11	tr	tr	VERB
ap-959	114	12	�	�	PROPN
ap-959	114	13	�	�	PROPN
ap-959	114	14	�	�	PROPN
ap-959	114	15	�	�	PROPN
ap-959	114	16	(	(	PUNCT
ap-959	114	17	)	)	PUNCT
ap-959	114	18	(	(	PUNCT
ap-959	114	19	)	)	PUNCT
ap-959	114	20	x	x	X
ap-959	114	21	x	x	SYM
ap-959	114	22	�	�	PROPN
ap-959	114	23	�	�	PROPN
ap-959	114	24	�	�	PROPN
ap-959	114	25	tr	tr	VERB
ap-959	114	26	tr	tr	VERB
ap-959	114	27	tr1	tr1	NOUN
ap-959	114	28	2	2	NUM
ap-959	114	29	3	3	NUM
ap-959	114	30	obviously	obviously	ADV
ap-959	114	31	,	,	PUNCT
ap-959	114	32	this	this	DET
ap-959	114	33	functional	functional	ADJ
ap-959	114	34	is	be	AUX
ap-959	114	35	well	well	ADV
ap-959	114	36	-	-	PUNCT
ap-959	114	37	defined	define	VERB
ap-959	114	38	,	,	PUNCT
ap-959	114	39	since	since	SCONJ
ap-959	114	40	any	any	DET
ap-959	114	41	operator	operator	NOUN
ap-959	114	42	from	from	ADP
ap-959	114	43	w	w	PROPN
ap-959	114	44	�	�	PROPN
ap-959	114	45	stabilizes	stabilize	VERB
ap-959	114	46	at	at	ADP
ap-959	114	47	�	�	PROPN
ap-959	114	48	�	�	PROPN
ap-959	114	49	(	(	PUNCT
ap-959	114	50	�	�	PROPN
ap-959	114	51	�	�	PROPN
ap-959	114	52	)	)	PUNCT
ap-959	114	53	as	as	ADP
ap-959	114	54	i	i	PRON
ap-959	114	55	e	e	PROPN
ap-959	114	56	(	(	PUNCT
ap-959	114	57	)	)	PUNCT
ap-959	114	58	�	�	PROPN
ap-959	114	59	�	�	PROPN
ap-959	114	60	3	3	NUM
ap-959	114	61	.	.	PUNCT
ap-959	115	1	introduce	introduce	VERB
ap-959	115	2	the	the	DET
ap-959	115	3	operators	operator	NOUN
ap-959	115	4	�	�	PROPN
ap-959	115	5	k	k	PROPN
ap-959	115	6	k	k	PROPN
ap-959	115	7	f	f	PROPN
ap-959	115	8	x	x	X
ap-959	115	9	kx	kx	PROPN
ap-959	115	10	x	x	SYM
ap-959	115	11	x	x	SYM
ap-959	115	12	�	�	PROPN
ap-959	115	13	�	�	PROPN
ap-959	115	14	�	�	PROPN
ap-959	115	15	�	�	PROPN
ap-959	115	16	�	�	PROPN
ap-959	115	17	�	�	PROPN
ap-959	115	18	�	�	PROPN
ap-959	115	19	(	(	PUNCT
ap-959	115	20	)	)	PUNCT
ap-959	115	21	(	(	PUNCT
ap-959	115	22	)	)	PUNCT
ap-959	115	23	(	(	PUNCT
ap-959	115	24	)	)	PUNCT
ap-959	115	25	�	�	PROPN
ap-959	115	26	�	�	PROPN
ap-959	115	27	1	1	NUM
ap-959	115	28	�	�	PROPN
ap-959	115	29	k	k	NOUN
ap-959	115	30	k	k	PROPN
ap-959	115	31	f	f	PROPN
ap-959	116	1	x	x	X
ap-959	116	2	kx	kx	PROPN
ap-959	116	3	y	y	PROPN
ap-959	116	4	x	x	SYM
ap-959	116	5	y	y	PROPN
ap-959	116	6	x	x	PROPN
ap-959	116	7	�	�	PROPN
ap-959	116	8	�	�	PROPN
ap-959	116	9	�	�	PROPN
ap-959	116	10	�	�	PROPN
ap-959	116	11	�	�	PROPN
ap-959	116	12	�	�	PROPN
ap-959	116	13	�	�	PROPN
ap-959	116	14	(	(	PUNCT
ap-959	116	15	)	)	PUNCT
ap-959	116	16	(	(	PUNCT
ap-959	116	17	(	(	PUNCT
ap-959	116	18	)	)	PUNCT
ap-959	116	19	)	)	PUNCT
ap-959	116	20	(	(	PUNCT
ap-959	116	21	)	)	SYM
ap-959	116	22	1	1	NUM
ap-959	116	23	1	1	NUM
ap-959	116	24	12	12	NUM
ap-959	116	25	2	2	NUM
ap-959	116	26	�	�	PROPN
ap-959	116	27	�	�	PROPN
ap-959	116	28	�	�	PROPN
ap-959	116	29	�	�	PROPN
ap-959	116	30	,	,	PUNCT
ap-959	116	31	where	where	SCONJ
ap-959	116	32	f(x	f(x	PROPN
ap-959	116	33	)	)	PUNCT
ap-959	116	34	is	be	AUX
ap-959	116	35	the	the	DET
ap-959	116	36	fermionic	fermionic	NOUN
ap-959	116	37	number	number	NOUN
ap-959	116	38	of	of	ADP
ap-959	116	39	operator	operator	NOUN
ap-959	116	40	x.	x.	NOUN
ap-959	117	1	these	these	DET
ap-959	117	2	operators	operator	NOUN
ap-959	117	3	annihilate	annihilate	VERB
ap-959	117	4	respectively	respectively	ADV
ap-959	117	5	the	the	DET
ap-959	117	6	right	right	NOUN
ap-959	117	7	or	or	CCONJ
ap-959	117	8	left	leave	VERB
ap-959	117	9	tail	tail	NOUN
ap-959	117	10	of	of	ADP
ap-959	117	11	elements	element	NOUN
ap-959	117	12	of	of	ADP
ap-959	117	13	w	w	PROPN
ap-959	117	14	�	�	PROPN
ap-959	117	15	.	.	PUNCT
ap-959	118	1	they	they	PRON
ap-959	118	2	satisfy	satisfy	VERB
ap-959	118	3	the	the	DET
ap-959	118	4	canonical	canonical	ADJ
ap-959	118	5	commutation	commutation	NOUN
ap-959	118	6	relations	relation	NOUN
ap-959	118	7	:	:	PUNCT
ap-959	118	8	[	[	PUNCT
ap-959	118	9	,	,	PUNCT
ap-959	118	10	]	]	X
ap-959	118	11	[	[	PUNCT
ap-959	118	12	,	,	PUNCT
ap-959	118	13	]	]	X
ap-959	118	14	,	,	PUNCT
ap-959	118	15	,	,	PUNCT
ap-959	118	16	�	�	PROPN
ap-959	118	17	�	�	PROPN
ap-959	118	18	�	�	PROPN
ap-959	118	19	�	�	PROPN
ap-959	118	20	k	k	PROPN
ap-959	118	21	l	l	PROPN
ap-959	118	22	k	k	PROPN
ap-959	118	23	l	l	X
ap-959	118	24	�	�	PROPN
ap-959	118	25	�	�	PROPN
ap-959	118	26	�	�	PROPN
ap-959	118	27	�	�	PROPN
ap-959	118	28	�	�	PROPN
ap-959	118	29	�	�	PROPN
ap-959	118	30	�	�	PROPN
ap-959	118	31	�	�	PROPN
ap-959	118	32	0	0	PROPN
ap-959	118	33	[	[	PUNCT
ap-959	118	34	,	,	PUNCT
ap-959	118	35	]	]	X
ap-959	118	36	,	,	PUNCT
ap-959	118	37	�	�	PROPN
ap-959	118	38	�	�	PROPN
ap-959	118	39	k	k	PROPN
ap-959	118	40	l	l	PROPN
ap-959	119	1	k	k	PROPN
ap-959	119	2	j	j	PROPN
ap-959	119	3	�	�	PROPN
ap-959	119	4	�	�	PROPN
ap-959	119	5	�	�	PROPN
ap-959	119	6	�	�	PROPN
ap-959	119	7	�	�	PROPN
ap-959	119	8	�	�	PROPN
ap-959	119	9	�	�	PROPN
ap-959	119	10	�	�	PROPN
ap-959	119	11	�	�	PROPN
ap-959	119	12	�	�	PROPN
ap-959	119	13	�	�	PROPN
ap-959	119	14	.	.	PUNCT
ap-959	120	1	introduce	introduce	VERB
ap-959	120	2	the	the	DET
ap-959	120	3	fourier	fourier	NOUN
ap-959	120	4	transform	transform	NOUN
ap-959	120	5	:	:	PUNCT
ap-959	120	6	�	�	PROPN
ap-959	120	7	�	�	PROPN
ap-959	120	8	�	�	PROPN
ap-959	120	9	�	�	PROPN
ap-959	120	10	�	�	PROPN
ap-959	120	11	�	�	PROPN
ap-959	120	12	�	�	PROPN
ap-959	120	13	�	�	PROPN
ap-959	120	14	�	�	PROPN
ap-959	120	15	�	�	PROPN
ap-959	120	16	�	�	PROPN
ap-959	120	17	�	�	PROPN
ap-959	120	18	�	�	PROPN
ap-959	120	19	�	�	PROPN
ap-959	120	20	�	�	PROPN
ap-959	120	21	�	�	PROPN
ap-959	120	22	�	�	PROPN
ap-959	120	23	�	�	PROPN
ap-959	120	24	�	�	PROPN
ap-959	120	25	(	(	PUNCT
ap-959	120	26	)	)	PUNCT
ap-959	120	27	j	j	PROPN
ap-959	120	28	j	j	PROPN
ap-959	120	29	j	j	PROPN
ap-959	120	30	1	1	NUM
ap-959	120	31	1	1	NUM
ap-959	120	32	2	2	NUM
ap-959	120	33	2	2	NUM
ap-959	120	34	,	,	PUNCT
ap-959	120	35	�	�	PROPN
ap-959	120	36	�	�	PROPN
ap-959	120	37	�	�	PROPN
ap-959	120	38	�	�	PROPN
ap-959	120	39	�	�	PROPN
ap-959	120	40	�	�	PROPN
ap-959	120	41	�	�	PROPN
ap-959	120	42	�	�	PROPN
ap-959	120	43	�	�	PROPN
ap-959	120	44	�	�	PROPN
ap-959	120	45	�	�	PROPN
ap-959	120	46	�	�	PROPN
ap-959	120	47	�	�	PROPN
ap-959	120	48	�	�	PROPN
ap-959	120	49	�	�	PROPN
ap-959	120	50	�	�	PROPN
ap-959	120	51	�	�	PROPN
ap-959	120	52	�	�	PROPN
ap-959	120	53	�	�	PROPN
ap-959	120	54	(	(	PUNCT
ap-959	120	55	)	)	PUNCT
ap-959	120	56	j	j	PROPN
ap-959	121	1	j	j	PROPN
ap-959	121	2	j	j	PROPN
ap-959	121	3	1	1	NUM
ap-959	121	4	1	1	NUM
ap-959	121	5	2	2	NUM
ap-959	121	6	2	2	NUM
ap-959	121	7	.	.	PUNCT
ap-959	122	1	we	we	PRON
ap-959	122	2	want	want	VERB
ap-959	122	3	to	to	PART
ap-959	122	4	use	use	VERB
ap-959	122	5	�	�	PROPN
ap-959	122	6	k	k	PROPN
ap-959	122	7	�	�	PROPN
ap-959	122	8	(	(	PUNCT
ap-959	122	9	�	�	PROPN
ap-959	122	10	k	k	PROPN
ap-959	122	11	�	�	PROPN
ap-959	122	12	)	)	PUNCT
ap-959	122	13	for	for	ADP
ap-959	122	14	k	k	PROPN
ap-959	122	15	0as	0as	PROPN
ap-959	122	16	annihilation	annihilation	NOUN
ap-959	122	17	(	(	PUNCT
ap-959	122	18	creation	creation	NOUN
ap-959	122	19	)	)	PUNCT
ap-959	122	20	.	.	PUNCT
ap-959	123	1	obviously	obviously	ADV
ap-959	123	2	,	,	PUNCT
ap-959	123	3	�	�	PROPN
ap-959	123	4	k	k	PROPN
ap-959	123	5	sq	sq	PROPN
ap-959	123	6	k	k	PROPN
ap-959	123	7	�	�	PROPN
ap-959	123	8	�	�	PROPN
ap-959	123	9	(	(	PUNCT
ap-959	123	10	)	)	PUNCT
ap-959	123	11	,	,	PUNCT
ap-959	123	12	(	(	PUNCT
ap-959	123	13	)	)	PUNCT
ap-959	123	14	2	2	NUM
ap-959	123	15	0	0	NUM
ap-959	123	16	0	0	NUM
ap-959	123	17	0	0	NUM
ap-959	123	18	�	�	PROPN
ap-959	123	19	.	.	PUNCT
ap-959	124	1	there	there	PRON
ap-959	124	2	is	be	VERB
ap-959	124	3	a	a	DET
ap-959	124	4	problem	problem	NOUN
ap-959	124	5	with	with	ADP
ap-959	124	6	the	the	DET
ap-959	124	7	creation	creation	NOUN
ap-959	124	8	operators	operator	NOUN
ap-959	124	9	and	and	CCONJ
ap-959	124	10	the	the	DET
ap-959	124	11	functional	functional	ADJ
ap-959	124	12	tr	tr	VERB
ap-959	124	13	tr	tr	VERB
ap-959	124	14	�	�	PROPN
ap-959	124	15	�	�	PROPN
ap-959	124	16	:	:	PUNCT
ap-959	124	17	(	(	PUNCT
ap-959	124	18	(	(	PUNCT
ap-959	124	19	)	)	PUNCT
ap-959	124	20	)	)	PUNCT
ap-959	124	21	�	�	PROPN
ap-959	124	22	k	k	NOUN
ap-959	124	23	x	x	PROPN
ap-959	124	24	�	�	PROPN
ap-959	124	25	does	do	AUX
ap-959	124	26	not	not	PART
ap-959	124	27	always	always	ADV
ap-959	124	28	vanish	vanish	VERB
ap-959	124	29	.	.	PUNCT
ap-959	125	1	however	however	ADV
ap-959	125	2	,	,	PUNCT
ap-959	125	3	one	one	PRON
ap-959	125	4	easily	easily	ADV
ap-959	125	5	derives	derive	VERB
ap-959	125	6	that	that	SCONJ
ap-959	125	7	tr	tr	VERB
ap-959	125	8	tr	tr	VERB
ap-959	125	9	�	�	PROPN
ap-959	125	10	�	�	PROPN
ap-959	125	11	(	(	PUNCT
ap-959	125	12	(	(	PUNCT
ap-959	125	13	)	)	PUNCT
ap-959	125	14	)	)	PUNCT
ap-959	125	15	(	(	PUNCT
ap-959	125	16	(	(	PUNCT
ap-959	125	17	)	)	PUNCT
ap-959	125	18	)	)	PUNCT
ap-959	125	19	�	�	PROPN
ap-959	125	20	�	�	PROPN
ap-959	125	21	k	k	PROPN
ap-959	125	22	kx	kx	PROPN
ap-959	125	23	y	y	PROPN
ap-959	125	24	y	y	PROPN
ap-959	125	25	x	x	PROPN
ap-959	125	26	�	�	PROPN
ap-959	125	27	�	�	PROPN
ap-959	125	28	�	�	PROPN
ap-959	125	29	�	�	PROPN
ap-959	125	30	�	�	PROPN
ap-959	125	31	2	2	NUM
ap-959	125	32	1	1	NUM
ap-959	125	33	,	,	PUNCT
ap-959	125	34	which	which	PRON
ap-959	125	35	allows	allow	VERB
ap-959	125	36	us	we	PRON
ap-959	125	37	to	to	PART
ap-959	125	38	perform	perform	VERB
ap-959	125	39	all	all	DET
ap-959	125	40	necessary	necessary	ADJ
ap-959	125	41	calculations	calculation	NOUN
ap-959	125	42	.	.	PUNCT
ap-959	126	1	without	without	ADP
ap-959	126	2	going	go	VERB
ap-959	126	3	into	into	ADP
ap-959	126	4	further	further	ADJ
ap-959	126	5	details	detail	NOUN
ap-959	126	6	i	i	PRON
ap-959	126	7	rewrite	rewrite	VERB
ap-959	126	8	the	the	DET
ap-959	126	9	formula	formula	NOUN
ap-959	126	10	for	for	ADP
ap-959	126	11	vacuum	vacuum	NOUN
ap-959	126	12	expecation	expecation	NOUN
ap-959	126	13	values	value	NOUN
ap-959	126	14	in	in	ADP
ap-959	126	15	a	a	DET
ap-959	126	16	new	new	ADJ
ap-959	126	17	form	form	NOUN
ap-959	126	18	:	:	PUNCT
ap-959	126	19	vac	vac	NOUN
ap-959	126	20	vac	vac	NOUN
ap-959	126	21	vac	vac	NOUN
ap-959	126	22	vac	vac	NOUN
ap-959	127	1	y	y	PROPN
ap-959	127	2	y	y	PROPN
ap-959	127	3	e	e	PROPN
ap-959	127	4	s	s	PROPN
ap-959	127	5	s	s	NOUN
ap-959	127	6	2	2	NUM
ap-959	127	7	0	0	NUM
ap-959	127	8	2	2	NUM
ap-959	127	9	0	0	NUM
ap-959	127	10	(	(	PUNCT
ap-959	127	11	)	)	PUNCT
ap-959	127	12	(	(	PUNCT
ap-959	127	13	)	)	PUNCT
ap-959	127	14	(	(	PUNCT
ap-959	127	15	(	(	PUNCT
ap-959	127	16	)	)	PUNCT
ap-959	127	17	)	)	PUNCT
ap-959	127	18	�	�	PROPN
ap-959	127	19	�	�	PROPN
ap-959	127	20	�	�	PROPN
ap-959	127	21	�	�	PROPN
ap-959	127	22	tr	tr	VERB
ap-959	127	23	�	�	PROPN
ap-959	127	24	�	�	PROPN
ap-959	127	25	�	�	PROPN
ap-959	127	26	�	�	PROPN
ap-959	127	27	�	�	PROPN
ap-959	127	28	�	�	PROPN
ap-959	127	29	�	�	PROPN
ap-959	127	30	�	�	PROPN
ap-959	127	31	�	�	PROPN
ap-959	127	32	�	�	PROPN
ap-959	127	33	�	�	PROPN
ap-959	127	34	i	i	PRON
ap-959	127	35	sin	sin	VERB
ap-959	127	36	(	(	PUNCT
ap-959	127	37	)	)	PUNCT
ap-959	127	38	(	(	PUNCT
ap-959	127	39	)	)	PUNCT
ap-959	127	40	�	�	PROPN
ap-959	127	41	�	�	PROPN
ap-959	127	42	�	�	PROPN
ap-959	127	43	�	�	PROPN
ap-959	127	44	�	�	PROPN
ap-959	127	45	�	�	PROPN
ap-959	127	46	2	2	NUM
ap-959	127	47	1	1	NUM
ap-959	127	48	1	1	NUM
ap-959	127	49	1	1	NUM
ap-959	127	50	2	2	NUM
ap-959	127	51	1	1	NUM
ap-959	127	52	2	2	NUM
ap-959	127	53	2	2	NUM
ap-959	127	54	2	2	NUM
ap-959	127	55	2	2	NUM
ap-959	127	56	1	1	NUM
ap-959	127	57	1	1	NUM
ap-959	127	58	2	2	NUM
ap-959	127	59	1	1	NUM
ap-959	127	60	2	2	NUM
ap-959	127	61	2d	2d	NUM
ap-959	127	62	d	d	NOUN
ap-959	127	63	2	2	NUM
ap-959	127	64	2	2	NUM
ap-959	127	65	2	2	NUM
ap-959	127	66	11	11	NUM
ap-959	127	67	1	1	NUM
ap-959	127	68	2	2	NUM
ap-959	127	69	2	2	NUM
ap-959	127	70	1	1	NUM
ap-959	127	71	2	2	NUM
ap-959	127	72	�	�	PROPN
ap-959	127	73	�	�	PROPN
ap-959	127	74	�	�	PROPN
ap-959	127	75	�	�	PROPN
ap-959	127	76	�	�	PROPN
ap-959	127	77	�	�	PROPN
ap-959	127	78	�	�	PROPN
ap-959	127	79	�	�	PROPN
ap-959	127	80	�	�	PROPN
ap-959	127	81	�	�	PROPN
ap-959	127	82	�	�	PROPN
ap-959	127	83	�	�	PROPN
ap-959	127	84	,	,	PUNCT
ap-959	127	85	where	where	SCONJ
ap-959	127	86	�	�	PROPN
ap-959	127	87	denote	denote	VERB
ap-959	127	88	local	local	ADJ
ap-959	127	89	operators	operator	NOUN
ap-959	127	90	living	live	VERB
ap-959	127	91	on	on	ADP
ap-959	127	92	a	a	DET
ap-959	127	93	positive	positive	ADJ
ap-959	127	94	axis	axis	NOUN
ap-959	127	95	only	only	ADV
ap-959	127	96	.	.	PUNCT
ap-959	128	1	still	still	ADV
ap-959	128	2	i	i	PRON
ap-959	128	3	am	be	AUX
ap-959	128	4	not	not	PART
ap-959	128	5	quite	quite	ADV
ap-959	128	6	happy	happy	ADJ
ap-959	128	7	with	with	ADP
ap-959	128	8	this	this	DET
ap-959	128	9	formula	formula	NOUN
ap-959	128	10	,	,	PUNCT
ap-959	128	11	because	because	SCONJ
ap-959	128	12	there	there	PRON
ap-959	128	13	is	be	VERB
ap-959	128	14	a	a	DET
ap-959	128	15	problem	problem	NOUN
ap-959	128	16	with	with	ADP
ap-959	128	17	translational	translational	ADJ
ap-959	128	18	invariance	invariance	NOUN
ap-959	128	19	.	.	PUNCT
ap-959	129	1	i	i	PRON
ap-959	129	2	would	would	AUX
ap-959	129	3	like	like	VERB
ap-959	129	4	to	to	PART
ap-959	129	5	avoid	avoid	VERB
ap-959	129	6	using	use	VERB
ap-959	129	7	�	�	PROPN
ap-959	129	8	.	.	PUNCT
ap-959	130	1	i	i	PRON
ap-959	130	2	introduce	introduce	VERB
ap-959	130	3	the	the	DET
ap-959	130	4	following	follow	VERB
ap-959	130	5	operators	operator	NOUN
ap-959	130	6	:	:	PUNCT
ap-959	130	7	b	b	X
ap-959	130	8	(	(	PUNCT
ap-959	130	9	)	)	PUNCT
ap-959	130	10	(	(	PUNCT
ap-959	130	11	)	)	PUNCT
ap-959	130	12	sin	sin	NOUN
ap-959	130	13	(	(	PUNCT
ap-959	130	14	)	)	PUNCT
ap-959	130	15	(	(	PUNCT
ap-959	130	16	,	,	PUNCT
ap-959	130	17	)	)	PUNCT
ap-959	130	18	,	,	PUNCT
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ap-959	130	24	s	s	X
ap-959	130	25	a	a	DET
ap-959	130	26	s	s	X
ap-959	131	1	i	i	INTJ
ap-959	131	2	y	y	PROPN
ap-959	131	3	e	e	PROPN
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ap-959	131	5	�	�	PROPN
ap-959	131	6	�	�	PROPN
ap-959	131	7	�	�	PROPN
ap-959	131	8	�	�	PROPN
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ap-959	131	13	�	�	PROPN
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ap-959	131	15	2	2	NUM
ap-959	131	16	1	1	NUM
ap-959	131	17	1	1	NUM
ap-959	131	18	1	1	NUM
ap-959	131	19	2	2	NUM
ap-959	131	20	12	12	NUM
ap-959	131	21	g	g	PROPN
ap-959	131	22	�	�	PROPN
ap-959	131	23	1	1	NUM
ap-959	131	24	2	2	NUM
ap-959	131	25	�	�	PROPN
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ap-959	131	29	"	"	PUNCT
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ap-959	132	5	)	)	PUNCT
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ap-959	132	7	(	(	PUNCT
ap-959	132	8	)	)	PUNCT
ap-959	132	9	(	(	PUNCT
ap-959	132	10	,	,	PUNCT
ap-959	132	11	)	)	PUNCT
ap-959	132	12	,	,	PUNCT
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ap-959	132	14	�	�	PROPN
ap-959	133	1	w	w	PROPN
ap-959	133	2	s	s	PROPN
ap-959	133	3	a	a	DET
ap-959	133	4	s	s	X
ap-959	133	5	y	y	PROPN
ap-959	133	6	e	e	PROPN
ap-959	133	7	s	s	PROPN
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ap-959	133	13	!	!	PUNCT
ap-959	133	14	"	"	PUNCT
ap-959	134	1	#	#	PROPN
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ap-959	134	6	2	2	NUM
ap-959	134	7	1	1	NUM
ap-959	134	8	1	1	NUM
ap-959	134	9	2	2	NUM
ap-959	134	10	1	1	NUM
ap-959	134	11	2	2	NUM
ap-959	134	12	g	g	NOUN
ap-959	134	13	�	�	PROPN
ap-959	134	14	,	,	PUNCT
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ap-959	134	16	�	�	PROPN
ap-959	134	17	e	e	PROPN
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ap-959	134	19	i	i	PRON
ap-959	134	20	m	m	VERB
ap-959	134	21	i	i	PRON
ap-959	134	22	m	m	VERB
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ap-959	134	25	�	�	PROPN
ap-959	134	26	�	�	PROPN
ap-959	134	27	�	�	PROPN
ap-959	134	28	�	�	PROPN
ap-959	134	29	�	�	PROPN
ap-959	134	30	(	(	PUNCT
ap-959	134	31	,	,	PUNCT
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ap-959	134	33	[	[	PUNCT
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ap-959	134	35	(	(	PUNCT
ap-959	134	36	)	)	PUNCT
ap-959	134	37	log	log	NOUN
ap-959	134	38	(	(	PUNCT
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ap-959	134	40	]	]	PUNCT
ap-959	134	41	.	.	PUNCT
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ap-959	135	9	2	2	NUM
ap-959	135	10	2	2	NUM
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ap-959	135	15	last	last	ADJ
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ap-959	135	17	we	we	PRON
ap-959	135	18	consider	consider	VERB
ap-959	135	19	�	�	PROPN
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ap-959	135	21	,	,	PUNCT
ap-959	135	22	j	j	PROPN
ap-959	135	23	�	�	PROPN
ap-959	135	24	(	(	PUNCT
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ap-959	135	26	.	.	PUNCT
ap-959	136	1	�	�	PROPN
ap-959	136	2	j	j	PROPN
ap-959	136	3	�	�	PROPN
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ap-959	136	8	a	a	DET
ap-959	136	9	row	row	NOUN
ap-959	136	10	(	(	PUNCT
ap-959	136	11	resp	resp	NOUN
ap-959	136	12	.	.	PUNCT
ap-959	137	1	column	column	PROPN
ap-959	137	2	)	)	PUNCT
ap-959	137	3	vector	vector	PROPN
ap-959	137	4	,	,	PUNCT
ap-959	137	5	m	m	VERB
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ap-959	137	7	u	u	X
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ap-959	137	9	j	j	PROPN
ap-959	137	10	j	j	PROPN
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ap-959	137	13	�	�	PROPN
ap-959	137	14	�	�	PROPN
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ap-959	137	17	�	�	PROPN
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ap-959	137	19	(	(	PUNCT
ap-959	137	20	)	)	PUNCT
ap-959	137	21	(	(	PUNCT
ap-959	137	22	)	)	PUNCT
ap-959	137	23	,	,	PUNCT
ap-959	137	24	(	(	PUNCT
ap-959	137	25	)	)	SYM
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ap-959	137	27	1	1	NUM
ap-959	137	28	1	1	NUM
ap-959	137	29	1	1	NUM
ap-959	137	30	�	�	PROPN
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ap-959	137	35	(	(	PUNCT
ap-959	137	36	)	)	PUNCT
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ap-959	138	2	m	m	VERB
ap-959	138	3	�	�	PROPN
ap-959	138	4	2	2	NUM
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ap-959	138	7	as	as	ADP
ap-959	138	8	taylor	taylor	PROPN
ap-959	138	9	series	series	PROPN
ap-959	138	10	in	in	ADP
ap-959	138	11	u.	u.	PROPN
ap-959	138	12	�	�	PROPN
ap-959	138	13	[	[	PUNCT
ap-959	138	14	]	]	X
ap-959	138	15	�	�	PROPN
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ap-959	138	17	for	for	ADP
ap-959	138	18	the	the	DET
ap-959	138	19	normal	normal	ADJ
ap-959	138	20	ordering	ordering	NOUN
ap-959	138	21	,	,	PUNCT
ap-959	138	22	which	which	PRON
ap-959	138	23	applies	apply	VERB
ap-959	138	24	only	only	ADV
ap-959	138	25	to	to	ADP
ap-959	138	26	operators	operator	NOUN
ap-959	138	27	acting	act	VERB
ap-959	138	28	at	at	ADP
ap-959	138	29	the	the	DET
ap-959	138	30	same	same	ADJ
ap-959	138	31	site	site	NOUN
ap-959	138	32	.	.	PUNCT
ap-959	139	1	for	for	ADP
ap-959	139	2	them	they	PRON
ap-959	139	3	we	we	PRON
ap-959	139	4	set	set	VERB
ap-959	139	5	�	�	PROPN
ap-959	139	6	[	[	PUNCT
ap-959	139	7	]	]	X
ap-959	139	8	(	(	PUNCT
ap-959	139	9	)	)	PUNCT
ap-959	139	10	,	,	PUNCT
ap-959	139	11	(	(	PUNCT
ap-959	139	12	)	)	PUNCT
ap-959	139	13	.	.	PUNCT
ap-959	140	1	,	,	PUNCT
ap-959	140	2	,	,	PUNCT
ap-959	140	3	,	,	PUNCT
ap-959	140	4	�	�	PROPN
ap-959	140	5	�	�	PROPN
ap-959	140	6	�	�	PROPN
ap-959	140	7	�	�	PROPN
ap-959	140	8	�	�	PROPN
ap-959	140	9	�	�	PROPN
ap-959	140	10	�	�	PROPN
ap-959	140	11	�	�	PROPN
ap-959	140	12	�	�	PROPN
ap-959	141	1	j	j	PROPN
ap-959	142	1	j	j	PROPN
ap-959	142	2	j	j	PROPN
ap-959	142	3	j	j	PROPN
ap-959	142	4	j	j	PROPN
ap-959	142	5	j	j	PROPN
ap-959	142	6	j	j	PROPN
ap-959	142	7	j	j	PROPN
ap-959	142	8	�	�	PROPN
ap-959	142	9	�	�	PROPN
ap-959	142	10	�	�	PROPN
ap-959	142	11	�	�	PROPN
ap-959	142	12	�	�	PROPN
ap-959	142	13	�	�	PROPN
ap-959	142	14	�	�	PROPN
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ap-959	142	16	%	%	NOUN
ap-959	142	17	&	&	CCONJ
ap-959	142	18	'	'	PROPN
ap-959	142	19	&	&	CCONJ
ap-959	142	20	0	0	NUM
ap-959	142	21	0	0	NUM
ap-959	143	1	these	these	DET
ap-959	143	2	operators	operator	NOUN
ap-959	143	3	satisfy	satisfy	VERB
ap-959	143	4	a	a	DET
ap-959	143	5	number	number	NOUN
ap-959	143	6	of	of	ADP
ap-959	143	7	remarkable	remarkable	ADJ
ap-959	143	8	properties	property	NOUN
ap-959	143	9	.	.	PUNCT
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ap-959	144	2	,	,	PUNCT
ap-959	144	3	the	the	DET
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ap-959	144	5	expectation	expectation	NOUN
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ap-959	144	11	any	any	DET
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ap-959	144	18	vac	vac	NOUN
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ap-959	144	22	s	s	PROPN
ap-959	144	23	s	s	NOUN
ap-959	144	24	2	2	NUM
ap-959	144	25	0	0	NUM
ap-959	144	26	2	2	NUM
ap-959	144	27	0	0	NUM
ap-959	144	28	(	(	PUNCT
ap-959	144	29	)	)	PUNCT
ap-959	144	30	(	(	PUNCT
ap-959	144	31	)	)	PUNCT
ap-959	144	32	(	(	PUNCT
ap-959	144	33	(	(	PUNCT
ap-959	144	34	)	)	PUNCT
ap-959	144	35	)	)	PUNCT
ap-959	144	36	�	�	PROPN
ap-959	144	37	�	�	PROPN
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ap-959	144	40	�	�	PROPN
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ap-959	144	42	�	�	PROPN
ap-959	144	43	�	�	PROPN
ap-959	144	44	�	�	PROPN
ap-959	144	45	�	�	PROPN
ap-959	144	46	�	�	PROPN
ap-959	144	47	�	�	PROPN
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ap-959	144	50	(	(	PUNCT
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ap-959	144	52	)	)	PUNCT
ap-959	144	53	(	(	PUNCT
ap-959	144	54	)	)	PUNCT
ap-959	144	55	(	(	PUNCT
ap-959	144	56	)	)	PUNCT
ap-959	144	57	�	�	PROPN
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ap-959	144	60	�	�	PROPN
ap-959	144	61	2	2	NUM
ap-959	144	62	1	1	NUM
ap-959	144	63	2	2	NUM
ap-959	144	64	1	1	NUM
ap-959	144	65	2	2	NUM
ap-959	144	66	1	1	NUM
ap-959	144	67	2	2	NUM
ap-959	144	68	2	2	NUM
ap-959	144	69	2	2	NUM
ap-959	144	70	11	11	NUM
ap-959	144	71	2	2	NUM
ap-959	144	72	2	2	NUM
ap-959	144	73	1	1	NUM
ap-959	144	74	2	2	NUM
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ap-959	144	80	(	(	PUNCT
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ap-959	144	82	)	)	PUNCT
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ap-959	144	86	�	�	PROPN
ap-959	144	87	(	(	PUNCT
ap-959	144	88	,	,	PUNCT
ap-959	144	89	)	)	PUNCT
ap-959	144	90	(	(	PUNCT
ap-959	144	91	)	)	PUNCT
ap-959	144	92	�	�	PROPN
ap-959	144	93	�	�	PROPN
ap-959	144	94	�	�	PROPN
ap-959	144	95	�	�	PROPN
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ap-959	144	97	8	8	NUM
ap-959	144	98	1	1	NUM
ap-959	144	99	1	1	NUM
ap-959	144	100	1	1	NUM
ap-959	144	101	1	1	NUM
ap-959	144	102	2	2	NUM
ap-959	144	103	2	2	NUM
ap-959	144	104	2	2	NUM
ap-959	144	105	4	4	NUM
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ap-959	145	12	the	the	DET
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ap-959	145	14	general	general	ADJ
ap-959	145	15	form	form	NOUN
ap-959	145	16	because	because	SCONJ
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ap-959	145	18	(	(	PUNCT
ap-959	145	19	2.2	2.2	NUM
ap-959	145	20	)	)	PUNCT
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ap-959	145	24	analogue	analogue	NOUN
ap-959	145	25	in	in	ADP
ap-959	145	26	the	the	DET
ap-959	145	27	general	general	ADJ
ap-959	145	28	case	case	NOUN
ap-959	145	29	.	.	PUNCT
ap-959	146	1	1	1	X
ap-959	146	2	.	.	X
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ap-959	146	4	b	b	X
ap-959	146	5	(	(	PUNCT
ap-959	146	6	)	)	PUNCT
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ap-959	146	8	c	c	X
ap-959	146	9	(	(	PUNCT
ap-959	146	10	)	)	PUNCT
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ap-959	146	12	the	the	DET
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ap-959	146	14	block	block	NOUN
ap-959	146	15	structure	structure	NOUN
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ap-959	146	18	(	(	PUNCT
ap-959	146	19	):	):	PUNCT
ap-959	146	20	,	,	PUNCT
ap-959	146	21	,	,	PUNCT
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ap-959	146	30	1	1	NUM
ap-959	146	31	1	1	NUM
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ap-959	146	34	(	(	PUNCT
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ap-959	146	36	,	,	PUNCT
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ap-959	146	47	1	1	NUM
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ap-959	146	52	c	c	X
ap-959	146	53	(	(	PUNCT
ap-959	146	54	)	)	PUNCT
ap-959	146	55	(	(	PUNCT
ap-959	146	56	)	)	PUNCT
ap-959	146	57	1	1	NUM
ap-959	146	58	2	2	NUM
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ap-959	146	61	w	w	PROPN
ap-959	146	62	�	�	PROPN
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ap-959	147	1	2	2	X
ap-959	147	2	.	.	X
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ap-959	147	24	(	(	PUNCT
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ap-959	147	34	1	1	NUM
ap-959	147	35	2	2	NUM
ap-959	147	36	1	1	NUM
ap-959	147	37	2	2	NUM
ap-959	147	38	1	1	NUM
ap-959	147	39	2	2	NUM
ap-959	147	40	0	0	NUM
ap-959	147	41	�	�	PROPN
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ap-959	147	47	.	.	PUNCT
ap-959	148	1	3	3	X
ap-959	148	2	.	.	X
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ap-959	148	6	(	(	PUNCT
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ap-959	148	8	(	(	PUNCT
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ap-959	148	24	0	0	NUM
ap-959	148	25	2	2	NUM
ap-959	148	26	0	0	NUM
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ap-959	149	1	(	(	PUNCT
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ap-959	149	3	(	(	PUNCT
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ap-959	149	12	0	0	NUM
ap-959	149	13	2	2	NUM
ap-959	149	14	0	0	NUM
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ap-959	149	18	.	.	PUNCT
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ap-959	152	1	48	48	NUM
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ap-959	153	7	(	(	PUNCT
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ap-959	153	19	1	1	NUM
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ap-959	153	21	1	1	NUM
ap-959	154	1	p	p	NOUN
ap-959	154	2	p	p	X
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ap-959	154	8	(	(	PUNCT
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ap-959	154	19	1	1	NUM
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ap-959	154	21	1	1	NUM
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ap-959	154	29	b	b	X
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ap-959	154	33	p	p	X
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ap-959	154	35	(	(	PUNCT
ap-959	154	36	)	)	PUNCT
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ap-959	154	38	(	(	PUNCT
ap-959	154	39	)	)	PUNCT
ap-959	154	40	(	(	PUNCT
ap-959	154	41	)	)	PUNCT
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ap-959	154	43	)	)	PUNCT
ap-959	154	44	2	2	NUM
ap-959	154	45	0	0	NUM
ap-959	154	46	2	2	NUM
ap-959	154	47	00	00	NUM
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ap-959	154	54	,	,	PUNCT
ap-959	155	1	c	c	PROPN
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ap-959	155	3	s	s	PROPN
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ap-959	155	5	p	p	X
ap-959	155	6	q	q	X
ap-959	155	7	(	(	PUNCT
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ap-959	155	10	(	(	PUNCT
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ap-959	155	12	(	(	PUNCT
ap-959	155	13	)	)	PUNCT
ap-959	155	14	(	(	PUNCT
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ap-959	155	16	2	2	NUM
ap-959	155	17	0	0	NUM
ap-959	155	18	2	2	NUM
ap-959	155	19	00	00	NUM
ap-959	155	20	�	�	PROPN
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ap-959	155	23	�	�	PROPN
ap-959	155	24	�	�	PROPN
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ap-959	156	16	for	for	ADP
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ap-959	156	18	�	�	PROPN
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ap-959	156	20	.	.	PUNCT
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ap-959	157	2	corollary	corollary	NOUN
ap-959	157	3	is	be	AUX
ap-959	157	4	that	that	PRON
ap-959	157	5	b	b	PROPN
ap-959	157	6	c	c	X
ap-959	157	7	(	(	PUNCT
ap-959	157	8	)	)	PUNCT
ap-959	157	9	(	(	PUNCT
ap-959	157	10	)	)	PUNCT
ap-959	157	11	(	(	PUNCT
ap-959	157	12	)	)	PUNCT
ap-959	157	13	(	(	PUNCT
ap-959	157	14	)	)	PUNCT
ap-959	157	15	(	(	PUNCT
ap-959	157	16	)	)	PUNCT
ap-959	157	17	(	(	PUNCT
ap-959	157	18	)	)	PUNCT
ap-959	157	19	�	�	PROPN
ap-959	157	20	�	�	PROPN
ap-959	157	21	q	q	PROPN
ap-959	157	22	qs	qs	PROPN
ap-959	157	23	k	k	PROPN
ap-959	157	24	s	s	PROPN
ap-959	157	25	k2	k2	ADJ
ap-959	157	26	2	2	NUM
ap-959	157	27	0	0	NUM
ap-959	157	28	�	�	PROPN
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ap-959	157	32	we	we	PRON
ap-959	157	33	have	have	VERB
ap-959	157	34	translational	translational	ADJ
ap-959	157	35	invariance	invariance	NOUN
ap-959	157	36	as	as	SCONJ
ap-959	157	37	was	be	AUX
ap-959	157	38	announced	announce	VERB
ap-959	157	39	.	.	PUNCT
ap-959	158	1	4	4	X
ap-959	158	2	.	.	X
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ap-959	158	4	that	that	SCONJ
ap-959	158	5	the	the	DET
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ap-959	158	9	motion	motion	NOUN
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ap-959	158	13	:	:	PUNCT
ap-959	158	14	i	i	PRON
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ap-959	158	16	j	j	PROPN
ap-959	158	17	p	p	PROPN
ap-959	158	18	�	�	PROPN
ap-959	158	19	�	�	PROPN
ap-959	158	20	,	,	PUNCT
ap-959	158	21	.	.	PUNCT
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ap-959	159	2	,	,	PUNCT
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ap-959	159	12	�	�	PROPN
ap-959	159	13	.	.	PUNCT
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ap-959	161	5	(	(	PUNCT
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ap-959	162	4	[	[	PUNCT
ap-959	162	5	,	,	PUNCT
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ap-959	167	43	(	(	PUNCT
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ap-959	167	99	(	(	PUNCT
ap-959	167	100	(	(	PUNCT
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ap-959	167	102	)	)	PUNCT
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ap-959	168	3	(	(	PUNCT
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ap-959	168	6	2	2	NUM
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ap-959	168	9	u	u	NOUN
ap-959	168	10	u	u	NOUN
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ap-959	168	13	u	u	NOUN
ap-959	169	1	i	i	PRON
ap-959	170	1	i	i	INTJ
ap-959	171	1	d	d	VERB
ap-959	171	2	i	i	PRON
ap-959	171	3	shall	shall	AUX
ap-959	171	4	define	define	VERB
ap-959	171	5	the	the	DET
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ap-959	171	7	b	b	X
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ap-959	171	11	c	c	X
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ap-959	171	13	)	)	PUNCT
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ap-959	171	15	the	the	DET
ap-959	171	16	last	last	ADJ
ap-959	171	17	lecture	lecture	NOUN
ap-959	171	18	,	,	PUNCT
ap-959	171	19	but	but	CCONJ
ap-959	171	20	i	i	PRON
ap-959	171	21	would	would	AUX
ap-959	171	22	like	like	VERB
ap-959	171	23	to	to	PART
ap-959	171	24	finish	finish	VERB
ap-959	171	25	the	the	DET
ap-959	171	26	present	present	ADJ
ap-959	171	27	lecture	lecture	NOUN
ap-959	171	28	by	by	ADP
ap-959	171	29	completing	complete	VERB
ap-959	171	30	the	the	DET
ap-959	171	31	set	set	NOUN
ap-959	171	32	of	of	ADP
ap-959	171	33	operators	operator	NOUN
ap-959	171	34	.	.	PUNCT
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ap-959	172	2	,	,	PUNCT
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ap-959	172	4	are	be	AUX
ap-959	172	5	able	able	ADJ
ap-959	172	6	to	to	PART
ap-959	172	7	define	define	VERB
ap-959	172	8	the	the	DET
ap-959	172	9	creation	creation	NOUN
ap-959	172	10	operators	operator	NOUN
ap-959	172	11	,	,	PUNCT
ap-959	172	12	b	b	X
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ap-959	172	14	(	(	PUNCT
ap-959	172	15	)	)	PUNCT
ap-959	172	16	,	,	PUNCT
ap-959	172	17	s	s	X
ap-959	172	18	*	*	PUNCT
ap-959	172	19	(	(	PUNCT
ap-959	172	20	)	)	PUNCT
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ap-959	172	22	an	an	DET
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ap-959	172	24	operator	operator	NOUN
ap-959	172	25	t	t	PROPN
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ap-959	172	27	(	(	PUNCT
ap-959	172	28	)	)	PUNCT
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ap-959	173	2	the	the	DET
ap-959	173	3	free	free	ADJ
ap-959	173	4	fermion	fermion	NOUN
ap-959	173	5	case	case	NOUN
ap-959	173	6	one	one	PRON
ap-959	173	7	can	can	AUX
ap-959	173	8	write	write	VERB
ap-959	173	9	explicit	explicit	ADJ
ap-959	173	10	formulae	formulae	NOUN
ap-959	173	11	for	for	ADP
ap-959	173	12	these	these	DET
ap-959	173	13	operators	operator	NOUN
ap-959	173	14	.	.	PUNCT
ap-959	174	1	in	in	ADP
ap-959	174	2	the	the	DET
ap-959	174	3	generic	generic	ADJ
ap-959	174	4	case	case	NOUN
ap-959	174	5	they	they	PRON
ap-959	174	6	are	be	AUX
ap-959	174	7	constructed	construct	VERB
ap-959	174	8	similarly	similarly	ADV
ap-959	174	9	to	to	ADP
ap-959	174	10	what	what	PRON
ap-959	174	11	i	i	PRON
ap-959	174	12	shall	shall	AUX
ap-959	174	13	explain	explain	VERB
ap-959	174	14	in	in	ADP
ap-959	174	15	the	the	DET
ap-959	174	16	next	next	ADJ
ap-959	174	17	lecture	lecture	NOUN
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ap-959	175	2	properties	property	NOUN
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ap-959	175	4	as	as	SCONJ
ap-959	175	5	follows	follow	VERB
ap-959	175	6	.	.	PUNCT
ap-959	176	1	1	1	X
ap-959	176	2	.	.	X
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ap-959	176	15	)	)	PUNCT
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ap-959	176	19	(	(	PUNCT
ap-959	176	20	)	)	PUNCT
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ap-959	176	24	:	:	PUNCT
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ap-959	176	29	(	(	PUNCT
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ap-959	177	4	the	the	DET
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ap-959	177	11	)	)	PUNCT
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ap-959	186	39	0	0	NUM
ap-959	186	40	�	�	PROPN
ap-959	186	41	�	�	PROPN
ap-959	186	42	�	�	PROPN
ap-959	186	43	�	�	PROPN
ap-959	186	44	�	�	PROPN
ap-959	186	45	�	�	PROPN
ap-959	186	46	,	,	PUNCT
ap-959	186	47	lenght	lenght	INTJ
ap-959	186	48	(	(	PUNCT
ap-959	186	49	lenghtt	lenghtt	NOUN
ap-959	186	50	p	p	PROPN
ap-959	186	51	*	*	PUNCT
ap-959	186	52	s	s	PROPN
ap-959	186	53	sq	sq	INTJ
ap-959	186	54	q	q	X
ap-959	186	55	p	p	X
ap-959	186	56	(	(	PUNCT
ap-959	186	57	)	)	PUNCT
ap-959	186	58	)	)	PUNCT
ap-959	186	59	(	(	PUNCT
ap-959	186	60	)	)	PUNCT
ap-959	186	61	(	(	PUNCT
ap-959	186	62	)	)	PUNCT
ap-959	186	63	(	(	PUNCT
ap-959	186	64	)	)	PUNCT
ap-959	186	65	2	2	NUM
ap-959	186	66	0	0	NUM
ap-959	186	67	2	2	NUM
ap-959	186	68	0	0	NUM
ap-959	186	69	�	�	PROPN
ap-959	186	70	�	�	PROPN
ap-959	186	71	�	�	PROPN
ap-959	186	72	�	�	PROPN
ap-959	186	73	�	�	PROPN
ap-959	186	74	�	�	PROPN
ap-959	186	75	.	.	PUNCT
ap-959	187	1	5	5	X
ap-959	187	2	.	.	X
ap-959	188	1	the	the	DET
ap-959	188	2	operators	operator	NOUN
ap-959	188	3	b	b	PROPN
ap-959	188	4	*	*	PUNCT
ap-959	188	5	(	(	PUNCT
ap-959	188	6	)	)	PUNCT
ap-959	188	7	,	,	PUNCT
ap-959	188	8	c	c	X
ap-959	188	9	*	*	PUNCT
ap-959	188	10	(	(	PUNCT
ap-959	188	11	)	)	PUNCT
ap-959	188	12	,	,	PUNCT
ap-959	188	13	t	t	PROPN
ap-959	188	14	*	*	PUNCT
ap-959	188	15	(	(	PUNCT
ap-959	188	16	)	)	PUNCT
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ap-959	188	18	tr	tr	VERB
ap-959	188	19	�	�	NOUN
ap-959	188	20	:	:	PUNCT
ap-959	188	21	tr	tr	PROPN
ap-959	188	22	b	b	NOUN
ap-959	188	23	tr	tr	NOUN
ap-959	188	24	c	c	PROPN
ap-959	188	25	tr	tr	PROPN
ap-959	188	26	t	t	PROPN
ap-959	188	27	tr	tr	VERB
ap-959	188	28	�	�	PROPN
ap-959	188	29	�	�	PROPN
ap-959	188	30	�	�	PROPN
ap-959	188	31	�	�	PROPN
ap-959	188	32	(	(	PUNCT
ap-959	188	33	(	(	PUNCT
ap-959	188	34	)	)	PUNCT
ap-959	188	35	(	(	PUNCT
ap-959	188	36	)	)	PUNCT
ap-959	188	37	)	)	PUNCT
ap-959	188	38	(	(	PUNCT
ap-959	188	39	(	(	PUNCT
ap-959	188	40	)	)	PUNCT
ap-959	188	41	(	(	PUNCT
ap-959	188	42	)	)	PUNCT
ap-959	188	43	)	)	PUNCT
ap-959	188	44	,	,	PUNCT
ap-959	188	45	(	(	PUNCT
ap-959	188	46	(	(	PUNCT
ap-959	188	47	)	)	PUNCT
ap-959	188	48	(	(	PUNCT
ap-959	188	49	)	)	PUNCT
ap-959	188	50	)	)	PUNCT
ap-959	188	51	(	(	PUNCT
ap-959	188	52	)	)	PUNCT
ap-959	189	1	*	*	PUNCT
ap-959	190	1	*	*	PUNCT
ap-959	190	2	*	*	PUNCT
ap-959	190	3	x	x	PUNCT
ap-959	190	4	x	x	PUNCT
ap-959	190	5	x	x	SYM
ap-959	190	6	x	x	SYM
ap-959	190	7	�	�	PROPN
ap-959	190	8	�	�	PROPN
ap-959	190	9	�	�	PROPN
ap-959	190	10	0	0	NUM
ap-959	190	11	.	.	PUNCT
ap-959	191	1	(	(	PUNCT
ap-959	191	2	2.3	2.3	NUM
ap-959	191	3	)	)	PUNCT
ap-959	191	4	for	for	ADP
ap-959	191	5	the	the	DET
ap-959	191	6	vacuum	vacuum	NOUN
ap-959	191	7	expectation	expectation	NOUN
ap-959	191	8	value	value	NOUN
ap-959	191	9	we	we	PRON
ap-959	191	10	have	have	VERB
ap-959	191	11	:	:	PUNCT
ap-959	191	12	vac	vac	PROPN
ap-959	191	13	b	b	PROPN
ap-959	191	14	b	b	PROPN
ap-959	191	15	c	c	NOUN
ap-959	191	16	c	c	PROPN
ap-959	191	17	t	t	PROPN
ap-959	191	18	t	t	PROPN
ap-959	191	19	*	*	PUNCT
ap-959	191	20	*	*	PUNCT
ap-959	192	1	p	p	X
ap-959	192	2	*	*	PUNCT
ap-959	193	1	*	*	PUNCT
ap-959	193	2	p	p	X
ap-959	193	3	*	*	PUNCT
ap-959	193	4	*	*	PUNCT
ap-959	193	5	q	q	PUNCT
ap-959	193	6	q	q	NOUN
ap-959	193	7	(	(	PUNCT
ap-959	193	8	)	)	PUNCT
ap-959	193	9	(	(	PUNCT
ap-959	193	10	)	)	PUNCT
ap-959	193	11	(	(	PUNCT
ap-959	193	12	)	)	PUNCT
ap-959	193	13	(	(	PUNCT
ap-959	193	14	)	)	PUNCT
ap-959	193	15	(	(	PUNCT
ap-959	193	16	)	)	PUNCT
ap-959	193	17	(	(	PUNCT
ap-959	193	18	)	)	PUNCT
ap-959	193	19	1	1	NUM
ap-959	193	20	1	1	NUM
ap-959	193	21	1	1	NUM
ap-959	193	22	0	0	NUM
ap-959	193	23	0	0	NUM
ap-959	193	24	2	2	NUM
ap-959	193	25	�	�	PROPN
ap-959	193	26	�	�	PROPN
ap-959	193	27	�	�	PROPN
ap-959	193	28	�	�	PROPN
ap-959	193	29	�	�	PROPN
ap-959	193	30	�	�	PROPN
ap-959	193	31	�	�	PROPN
ap-959	193	32	�	�	PROPN
ap-959	193	33	�	�	PROPN
ap-959	193	34	�	�	PROPN
ap-959	193	35	�	�	PROPN
ap-959	193	36	s	s	PART
ap-959	193	37	s	s	PROPN
ap-959	193	38	j	j	PROPN
ap-959	193	39	j	j	PROPN
ap-959	193	40	q	q	PROPN
ap-959	193	41	w	w	PROPN
ap-959	193	42	(	(	PUNCT
ap-959	193	43	)	)	PUNCT
ap-959	193	44	(	(	PUNCT
ap-959	193	45	)	)	PUNCT
ap-959	193	46	det	det	PROPN
ap-959	193	47	(	(	PUNCT
ap-959	193	48	,	,	PUNCT
ap-959	193	49	0	0	NUM
ap-959	193	50	2	2	NUM
ap-959	193	51	0	0	NUM
ap-959	193	52	vac	vac	NOUN
ap-959	193	53	vac	vac	NOUN
ap-959	193	54	vac	vac	NOUN
ap-959	193	55	�	�	PROPN
ap-959	193	56	�	�	PROPN
ap-959	193	57	�	�	PROPN
ap-959	193	58	�	�	PROPN
ap-959	194	1	i	i	PRON
ap-959	194	2	think	think	VERB
ap-959	194	3	this	this	PRON
ap-959	194	4	is	be	AUX
ap-959	194	5	a	a	DET
ap-959	194	6	good	good	ADJ
ap-959	194	7	point	point	NOUN
ap-959	194	8	to	to	PART
ap-959	194	9	finish	finish	VERB
ap-959	194	10	this	this	DET
ap-959	194	11	lecture	lecture	NOUN
ap-959	194	12	.	.	PUNCT
ap-959	195	1	3	3	NUM
ap-959	195	2	lecture	lecture	NOUN
ap-959	195	3	3	3	NUM
ap-959	195	4	.	.	PUNCT
ap-959	196	1	in	in	ADP
ap-959	196	2	the	the	DET
ap-959	196	3	previous	previous	ADJ
ap-959	196	4	lecture	lecture	NOUN
ap-959	196	5	i	i	PRON
ap-959	196	6	claimed	claim	VERB
ap-959	196	7	that	that	SCONJ
ap-959	196	8	the	the	DET
ap-959	196	9	space	space	NOUN
ap-959	196	10	of	of	ADP
ap-959	196	11	operators	operator	NOUN
ap-959	196	12	w	w	PROPN
ap-959	196	13	�	�	PROPN
ap-959	196	14	can	can	AUX
ap-959	196	15	be	be	AUX
ap-959	196	16	organized	organize	VERB
ap-959	196	17	in	in	ADP
ap-959	196	18	such	such	DET
ap-959	196	19	a	a	DET
ap-959	196	20	way	way	NOUN
ap-959	196	21	that	that	PRON
ap-959	196	22	the	the	DET
ap-959	196	23	vacuum	vacuum	NOUN
ap-959	196	24	expectation	expectation	NOUN
ap-959	196	25	values	value	NOUN
ap-959	196	26	are	be	AUX
ap-959	196	27	easy	easy	ADJ
ap-959	196	28	to	to	PART
ap-959	196	29	calculate	calculate	VERB
ap-959	196	30	.	.	PUNCT
ap-959	197	1	namely	namely	ADV
ap-959	197	2	,	,	PUNCT
ap-959	197	3	i	i	PRON
ap-959	197	4	claimed	claim	VERB
ap-959	197	5	that	that	SCONJ
ap-959	197	6	there	there	PRON
ap-959	197	7	are	be	VERB
ap-959	197	8	operators	operator	NOUN
ap-959	197	9	b	b	X
ap-959	197	10	(	(	PUNCT
ap-959	197	11	)	)	PUNCT
ap-959	197	12	,	,	PUNCT
ap-959	197	13	c	c	X
ap-959	197	14	(	(	PUNCT
ap-959	197	15	)	)	PUNCT
ap-959	197	16	,	,	PUNCT
ap-959	197	17	b	b	X
ap-959	197	18	*	*	PUNCT
ap-959	197	19	(	(	PUNCT
ap-959	197	20	)	)	PUNCT
ap-959	197	21	,	,	PUNCT
ap-959	198	1	c	c	X
ap-959	198	2	*	*	PUNCT
ap-959	198	3	(	(	PUNCT
ap-959	198	4	)	)	PUNCT
ap-959	198	5	,	,	PUNCT
ap-959	198	6	t	t	PROPN
ap-959	198	7	*	*	PUNCT
ap-959	198	8	(	(	PUNCT
ap-959	198	9	)	)	PUNCT
ap-959	198	10	which	which	PRON
ap-959	198	11	can	can	AUX
ap-959	198	12	be	be	AUX
ap-959	198	13	constructed	construct	VERB
ap-959	198	14	algebraically	algebraically	ADV
ap-959	198	15	,	,	PUNCT
ap-959	198	16	and	and	CCONJ
ap-959	198	17	which	which	PRON
ap-959	198	18	provide	provide	VERB
ap-959	198	19	this	this	DET
ap-959	198	20	organization	organization	NOUN
ap-959	198	21	of	of	ADP
ap-959	198	22	w	w	PROPN
ap-959	198	23	�	�	PROPN
ap-959	198	24	.	.	PUNCT
ap-959	199	1	but	but	CCONJ
ap-959	199	2	for	for	ADP
ap-959	199	3	the	the	DET
ap-959	199	4	moment	moment	NOUN
ap-959	199	5	i	i	PRON
ap-959	199	6	described	describe	VERB
ap-959	199	7	some	some	PRON
ap-959	199	8	of	of	ADP
ap-959	199	9	these	these	DET
ap-959	199	10	operators	operator	NOUN
ap-959	199	11	for	for	ADP
ap-959	199	12	the	the	DET
ap-959	199	13	case	case	NOUN
ap-959	199	14	of	of	ADP
ap-959	199	15	free	free	ADJ
ap-959	199	16	ferminos	fermino	NOUN
ap-959	199	17	only	only	ADV
ap-959	199	18	.	.	PUNCT
ap-959	200	1	now	now	ADV
ap-959	200	2	i	i	PRON
ap-959	200	3	shall	shall	AUX
ap-959	200	4	explain	explain	VERB
ap-959	200	5	the	the	DET
ap-959	200	6	general	general	ADJ
ap-959	200	7	construction	construction	NOUN
ap-959	200	8	,	,	PUNCT
ap-959	200	9	but	but	CCONJ
ap-959	200	10	i	i	PRON
ap-959	200	11	think	think	VERB
ap-959	200	12	i	i	PRON
ap-959	200	13	shall	shall	AUX
ap-959	200	14	not	not	PART
ap-959	200	15	be	be	AUX
ap-959	200	16	able	able	ADJ
ap-959	200	17	to	to	PART
ap-959	200	18	do	do	VERB
ap-959	200	19	this	this	PRON
ap-959	200	20	for	for	ADP
ap-959	200	21	all	all	DET
ap-959	200	22	the	the	DET
ap-959	200	23	operators	operator	NOUN
ap-959	200	24	.	.	PUNCT
ap-959	201	1	i	i	PRON
ap-959	201	2	shall	shall	AUX
ap-959	201	3	therefore	therefore	ADV
ap-959	201	4	restrict	restrict	VERB
ap-959	201	5	myself	myself	PRON
ap-959	201	6	to	to	ADP
ap-959	201	7	the	the	DET
ap-959	201	8	operator	operator	NOUN
ap-959	201	9	c	c	NOUN
ap-959	201	10	(	(	PUNCT
ap-959	201	11	)	)	PUNCT
ap-959	201	12	.	.	PUNCT
ap-959	202	1	if	if	SCONJ
ap-959	202	2	the	the	DET
ap-959	202	3	construction	construction	NOUN
ap-959	202	4	of	of	ADP
ap-959	202	5	these	these	DET
ap-959	202	6	operators	operator	NOUN
ap-959	202	7	is	be	AUX
ap-959	202	8	clear	clear	ADJ
ap-959	202	9	to	to	ADP
ap-959	202	10	you	you	PRON
ap-959	202	11	at	at	ADP
ap-959	202	12	the	the	DET
ap-959	202	13	end	end	NOUN
ap-959	202	14	of	of	ADP
ap-959	202	15	this	this	DET
ap-959	202	16	lecture	lecture	NOUN
ap-959	202	17	i	i	PRON
ap-959	202	18	shall	shall	AUX
ap-959	202	19	be	be	AUX
ap-959	202	20	quite	quite	ADV
ap-959	202	21	happy	happy	ADJ
ap-959	202	22	.	.	PUNCT
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ap-959	203	2	operators	operator	NOUN
ap-959	203	3	are	be	AUX
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ap-959	203	7	means	mean	NOUN
ap-959	203	8	.	.	PUNCT
ap-959	204	1	first	first	ADV
ap-959	204	2	,	,	PUNCT
ap-959	204	3	let	let	VERB
ap-959	204	4	me	i	PRON
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ap-959	204	9	the	the	DET
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ap-959	204	13	.	.	PUNCT
ap-959	205	1	consider	consider	VERB
ap-959	205	2	the	the	DET
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ap-959	205	4	affine	affine	NOUN
ap-959	205	5	algebra	algebra	PROPN
ap-959	205	6	uq	uq	PROPN
ap-959	205	7	(	(	PUNCT
ap-959	205	8	)	)	PUNCT
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ap-959	206	11	the	the	DET
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ap-959	206	13	product	product	NOUN
ap-959	206	14	b	b	PROPN
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ap-959	206	24	.	.	PUNCT
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ap-959	207	3	l	l	NOUN
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ap-959	207	5	operator	operator	NOUN
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ap-959	207	17	�	�	PROPN
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ap-959	207	19	�	�	PROPN
ap-959	207	20	�	�	PROPN
ap-959	207	21	n	n	CCONJ
ap-959	207	22	n1	n1	NOUN
ap-959	207	23	2	2	NUM
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ap-959	207	27	,	,	PUNCT
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ap-959	207	30	some	some	DET
ap-959	207	31	algebras	algebra	NOUN
ap-959	207	32	.	.	PUNCT
ap-959	208	1	i	i	PRON
ap-959	208	2	shall	shall	AUX
ap-959	208	3	always	always	ADV
ap-959	208	4	take	take	VERB
ap-959	208	5	n2	n2	NOUN
ap-959	208	6	to	to	PART
ap-959	208	7	be	be	AUX
ap-959	208	8	the	the	DET
ap-959	208	9	algebra	algebra	NOUN
ap-959	208	10	©	©	PROPN
ap-959	208	11	czech	czech	PROPN
ap-959	208	12	technical	technical	PROPN
ap-959	208	13	university	university	PROPN
ap-959	208	14	publishing	publishing	NOUN
ap-959	208	15	house	house	NOUN
ap-959	208	16	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	208	17	33	33	NUM
ap-959	208	18	acta	acta	PROPN
ap-959	208	19	polytechnica	polytechnica	PROPN
ap-959	208	20	vol	vol	NOUN
ap-959	208	21	.	.	PUNCT
ap-959	209	1	48	48	NUM
ap-959	209	2	no	no	NOUN
ap-959	209	3	.	.	PUNCT
ap-959	210	1	2/2008	2/2008	PROPN
ap-959	210	2	�	�	PROPN
ap-959	210	3	m	m	PROPN
ap-959	210	4	mat	mat	PROPN
ap-959	210	5	�	�	PROPN
ap-959	210	6	(	(	PUNCT
ap-959	210	7	,	,	PUNCT
ap-959	210	8	)	)	PUNCT
ap-959	210	9	2	2	NUM
ap-959	210	10	�	�	NOUN
ap-959	210	11	of	of	ADP
ap-959	210	12	2×2	2×2	NUM
ap-959	210	13	matrices	matrix	NOUN
ap-959	210	14	.	.	PUNCT
ap-959	211	1	as	as	ADP
ap-959	211	2	for	for	ADP
ap-959	211	3	n1	n1	NOUN
ap-959	211	4	i	i	PRON
ap-959	211	5	make	make	VERB
ap-959	211	6	several	several	ADJ
ap-959	211	7	choices	choice	NOUN
ap-959	211	8	:	:	PUNCT
ap-959	211	9	uq	uq	NOUN
ap-959	211	10	(	(	PUNCT
ap-959	211	11	)	)	PUNCT
ap-959	211	12	sl2	sl2	PROPN
ap-959	211	13	,	,	PUNCT
ap-959	211	14	m	m	PROPN
ap-959	211	15	,	,	PUNCT
ap-959	211	16	the	the	DET
ap-959	211	17	q	q	ADJ
ap-959	211	18	-	-	PUNCT
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ap-959	211	20	algebra	algebra	NOUN
ap-959	211	21	osc	osc	NOUN
ap-959	211	22	(	(	PUNCT
ap-959	211	23	see	see	VERB
ap-959	211	24	below	below	ADV
ap-959	211	25	)	)	PUNCT
ap-959	211	26	or	or	CCONJ
ap-959	211	27	osc	osc	PROPN
ap-959	211	28	m	m	PROPN
ap-959	211	29	�	�	PROPN
ap-959	211	30	�	�	PROPN
ap-959	211	31	,	,	PUNCT
ap-959	211	32	where	where	SCONJ
ap-959	211	33	m	m	PROPN
ap-959	211	34	m	m	VERB
ap-959	211	35	�	�	PROPN
ap-959	211	36	(	(	PUNCT
ap-959	211	37	are	be	AUX
ap-959	211	38	the	the	DET
ap-959	211	39	subalgebras	subalgebra	NOUN
ap-959	211	40	of	of	ADP
ap-959	211	41	upper	upper	ADJ
ap-959	211	42	and	and	CCONJ
ap-959	211	43	lower	low	ADJ
ap-959	211	44	triangular	triangular	NOUN
ap-959	211	45	matrices	matrix	NOUN
ap-959	211	46	.	.	PUNCT
ap-959	212	1	for	for	ADP
ap-959	212	2	economy	economy	NOUN
ap-959	212	3	of	of	ADP
ap-959	212	4	symbols	symbol	NOUN
ap-959	212	5	,	,	PUNCT
ap-959	212	6	i	i	PRON
ap-959	212	7	use	use	VERB
ap-959	212	8	the	the	DET
ap-959	212	9	same	same	ADJ
ap-959	212	10	letter	letter	NOUN
ap-959	212	11	l	l	NOUN
ap-959	212	12	to	to	PART
ap-959	212	13	designate	designate	VERB
ap-959	212	14	these	these	DET
ap-959	212	15	various	various	ADJ
ap-959	212	16	l	l	NOUN
ap-959	212	17	-	-	NOUN
ap-959	212	18	operators	operator	NOUN
ap-959	212	19	.	.	PUNCT
ap-959	213	1	i	i	PRON
ap-959	213	2	shall	shall	AUX
ap-959	213	3	put	put	VERB
ap-959	213	4	indices	index	NOUN
ap-959	213	5	,	,	PUNCT
ap-959	213	6	indicating	indicate	VERB
ap-959	213	7	to	to	ADP
ap-959	213	8	which	which	PRON
ap-959	213	9	tensor	tensor	NOUN
ap-959	213	10	product	product	NOUN
ap-959	213	11	of	of	ADP
ap-959	213	12	the	the	DET
ap-959	213	13	algebras	algebra	NOUN
ap-959	213	14	they	they	PRON
ap-959	213	15	belong	belong	VERB
ap-959	213	16	.	.	PUNCT
ap-959	214	1	we	we	PRON
ap-959	214	2	use	use	VERB
ap-959	214	3	j	j	PROPN
ap-959	214	4	,	,	PUNCT
ap-959	214	5	k	k	PROPN
ap-959	214	6	,	,	PUNCT
ap-959	214	7	…	…	PUNCT
ap-959	214	8	as	as	ADP
ap-959	214	9	labels	label	NOUN
ap-959	214	10	for	for	ADP
ap-959	214	11	the	the	DET
ap-959	214	12	lattice	lattice	NOUN
ap-959	214	13	sites	site	NOUN
ap-959	214	14	,	,	PUNCT
ap-959	214	15	and	and	CCONJ
ap-959	214	16	a	a	DET
ap-959	214	17	,	,	PUNCT
ap-959	214	18	b	b	NOUN
ap-959	214	19	,	,	PUNCT
ap-959	214	20	…	…	PUNCT
ap-959	214	21	as	as	ADP
ap-959	214	22	labels	label	NOUN
ap-959	214	23	for	for	ADP
ap-959	214	24	the	the	DET
ap-959	214	25	‘	'	PUNCT
ap-959	214	26	auxiliary	auxiliary	ADJ
ap-959	214	27	’	'	PUNCT
ap-959	214	28	two	two	NUM
ap-959	214	29	-	-	PUNCT
ap-959	214	30	dimensional	dimensional	ADJ
ap-959	214	31	space	space	NOUN
ap-959	214	32	.	.	PUNCT
ap-959	215	1	accordingly	accordingly	ADV
ap-959	215	2	i	i	PRON
ap-959	215	3	write	write	VERB
ap-959	215	4	the	the	DET
ap-959	215	5	matrix	matrix	NOUN
ap-959	215	6	algebra	algebra	NOUN
ap-959	215	7	as	as	ADP
ap-959	215	8	mj	mj	PROPN
ap-959	215	9	or	or	CCONJ
ap-959	215	10	ma	ma	PROPN
ap-959	215	11	.	.	PROPN
ap-959	215	12	capital	capital	PROPN
ap-959	215	13	letters	letter	NOUN
ap-959	215	14	a	a	DET
ap-959	215	15	,	,	PUNCT
ap-959	215	16	b	b	NOUN
ap-959	215	17	,	,	PUNCT
ap-959	215	18	…	…	PUNCT
ap-959	215	19	will	will	AUX
ap-959	215	20	indicate	indicate	VERB
ap-959	215	21	the	the	DET
ap-959	215	22	q	q	ADJ
ap-959	215	23	-	-	PUNCT
ap-959	215	24	oscillator	oscillator	NOUN
ap-959	215	25	algebra	algebra	NOUN
ap-959	215	26	osc	osc	NOUN
ap-959	215	27	.	.	PUNCT
ap-959	216	1	finally	finally	ADV
ap-959	216	2	,	,	PUNCT
ap-959	216	3	for	for	ADP
ap-959	216	4	osc	osc	PROPN
ap-959	216	5	m	m	PROPN
ap-959	216	6	�	�	PROPN
ap-959	216	7	�	�	PROPN
ap-959	216	8	i	i	PRON
ap-959	216	9	use	use	VERB
ap-959	216	10	pairs	pair	NOUN
ap-959	216	11	of	of	ADP
ap-959	216	12	indices	index	NOUN
ap-959	216	13	such	such	ADJ
ap-959	216	14	as	as	ADP
ap-959	216	15	{	{	PUNCT
ap-959	216	16	a	a	NOUN
ap-959	216	17	,	,	PUNCT
ap-959	216	18	a	a	PRON
ap-959	216	19	}	}	PUNCT
ap-959	216	20	.	.	PUNCT
ap-959	217	1	we	we	PRON
ap-959	217	2	already	already	ADV
ap-959	217	3	had	have	VERB
ap-959	217	4	the	the	DET
ap-959	217	5	l	l	NOUN
ap-959	217	6	-	-	NOUN
ap-959	217	7	operator	operator	NOUN
ap-959	217	8	la	la	PROPN
ap-959	217	9	j	j	PROPN
ap-959	217	10	,	,	PUNCT
ap-959	217	11	(	(	PUNCT
ap-959	217	12	)	)	PUNCT
ap-959	217	13	,	,	PUNCT
ap-959	217	14	which	which	PRON
ap-959	217	15	is	be	AUX
ap-959	217	16	essentially	essentially	ADV
ap-959	217	17	the	the	DET
ap-959	217	18	image	image	NOUN
ap-959	217	19	of	of	ADP
ap-959	217	20	the	the	DET
ap-959	217	21	universal	universal	ADJ
ap-959	217	22	r	r	NOUN
ap-959	217	23	-	-	NOUN
ap-959	217	24	matrix	matrix	NOUN
ap-959	217	25	under	under	ADP
ap-959	217	26	the	the	DET
ap-959	217	27	map	map	NOUN
ap-959	217	28	of	of	ADP
ap-959	217	29	both	both	PRON
ap-959	217	30	b	b	PROPN
ap-959	217	31	�	�	PROPN
ap-959	217	32	,	,	PUNCT
ap-959	217	33	b	b	PROPN
ap-959	217	34	�	�	PROPN
ap-959	217	35	to	to	ADP
ap-959	217	36	mat	mat	PROPN
ap-959	217	37	(	(	PUNCT
ap-959	217	38	,	,	PUNCT
ap-959	217	39	)	)	PUNCT
ap-959	217	40	�	�	PROPN
ap-959	217	41	2	2	NUM
ap-959	217	42	.	.	PUNCT
ap-959	218	1	the	the	DET
ap-959	218	2	next	next	ADJ
ap-959	218	3	case	case	NOUN
ap-959	218	4	is	be	AUX
ap-959	218	5	due	due	ADJ
ap-959	218	6	originally	originally	ADV
ap-959	218	7	to	to	ADP
ap-959	218	8	bazhanov	bazhanov	PROPN
ap-959	218	9	,	,	PUNCT
ap-959	218	10	lukyanov	lukyanov	PROPN
ap-959	218	11	and	and	CCONJ
ap-959	218	12	zamolodchikov	zamolodchikov	VERB
ap-959	218	13	[	[	X
ap-959	218	14	9	9	NUM
ap-959	218	15	,	,	PUNCT
ap-959	218	16	10	10	NUM
ap-959	218	17	,	,	PUNCT
ap-959	218	18	11	11	NUM
ap-959	218	19	]	]	PUNCT
ap-959	218	20	.	.	PUNCT
ap-959	219	1	let	let	VERB
ap-959	219	2	us	we	PRON
ap-959	219	3	consider	consider	VERB
ap-959	219	4	the	the	DET
ap-959	219	5	q	q	NOUN
ap-959	219	6	-	-	PUNCT
ap-959	219	7	oscillators	oscillator	NOUN
ap-959	219	8	a	a	PRON
ap-959	219	9	,	,	PUNCT
ap-959	219	10	a	a	PRON
ap-959	219	11	*	*	PUNCT
ap-959	219	12	satisfying	satisfy	VERB
ap-959	219	13	a	a	DET
ap-959	219	14	a	a	DET
ap-959	219	15	a	a	DET
ap-959	219	16	a	a	NOUN
ap-959	219	17	*	*	PUNCT
ap-959	219	18	*	*	PUNCT
ap-959	219	19	q	q	NOUN
ap-959	219	20	q	q	ADJ
ap-959	219	21	�	�	PROPN
ap-959	219	22	�	�	PROPN
ap-959	219	23	�	�	PROPN
ap-959	219	24	2	2	NUM
ap-959	219	25	21	21	NUM
ap-959	219	26	.	.	PUNCT
ap-959	220	1	it	it	PRON
ap-959	220	2	is	be	AUX
ap-959	220	3	convenient	convenient	ADJ
ap-959	220	4	to	to	PART
ap-959	220	5	introduce	introduce	VERB
ap-959	220	6	one	one	NUM
ap-959	220	7	more	more	ADJ
ap-959	220	8	element	element	ADJ
ap-959	220	9	qd	qd	ADP
ap-959	220	10	such	such	ADJ
ap-959	221	1	that	that	DET
ap-959	221	2	q	q	X
ap-959	221	3	q	q	X
ap-959	221	4	q	q	X
ap-959	221	5	a	a	DET
ap-959	221	6	a	a	DET
ap-959	221	7	qd	qd	NOUN
ap-959	221	8	*	*	PUNCT
ap-959	222	1	*	*	PUNCT
ap-959	222	2	d	d	PUNCT
ap-959	222	3	d	d	X
ap-959	222	4	da	da	PROPN
ap-959	222	5	a	a	DET
ap-959	222	6	�	�	PROPN
ap-959	222	7	�	�	PROPN
ap-959	222	8	�	�	PROPN
ap-959	222	9	�	�	PROPN
ap-959	222	10	1	1	NUM
ap-959	222	11	1	1	NUM
ap-959	222	12	,	,	PUNCT
ap-959	222	13	,	,	PUNCT
ap-959	222	14	a	a	DET
ap-959	222	15	a	a	DET
ap-959	222	16	a	a	DET
ap-959	222	17	a	a	NOUN
ap-959	222	18	*	*	PUNCT
ap-959	222	19	d	d	NOUN
ap-959	222	20	*	*	PUNCT
ap-959	222	21	dq	dq	NUM
ap-959	222	22	q	q	ADJ
ap-959	222	23	�	�	PROPN
ap-959	222	24	�	�	PROPN
ap-959	222	25	�	�	PROPN
ap-959	222	26	�	�	PROPN
ap-959	222	27	�	�	PROPN
ap-959	222	28	1	1	NUM
ap-959	222	29	12	12	NUM
ap-959	222	30	2	2	NUM
ap-959	222	31	2	2	NUM
ap-959	222	32	,	,	PUNCT
ap-959	222	33	.	.	PUNCT
ap-959	223	1	denote	denote	VERB
ap-959	223	2	by	by	ADP
ap-959	223	3	osc	osc	PROPN
ap-959	223	4	the	the	DET
ap-959	223	5	algebra	algebra	NOUN
ap-959	223	6	generated	generate	VERB
ap-959	223	7	by	by	ADP
ap-959	223	8	a	a	PRON
ap-959	223	9	,	,	PUNCT
ap-959	223	10	a	a	PRON
ap-959	223	11	*	*	X
ap-959	223	12	,	,	PUNCT
ap-959	223	13	q	q	X
ap-959	223	14	d	d	X
ap-959	223	15	�	�	PROPN
ap-959	223	16	with	with	ADP
ap-959	223	17	the	the	DET
ap-959	223	18	above	above	ADJ
ap-959	223	19	relations	relation	NOUN
ap-959	223	20	.	.	PUNCT
ap-959	224	1	we	we	PRON
ap-959	224	2	consider	consider	VERB
ap-959	224	3	the	the	DET
ap-959	224	4	following	follow	VERB
ap-959	224	5	two	two	NUM
ap-959	224	6	representations	representation	NOUN
ap-959	224	7	of	of	ADP
ap-959	224	8	osc	osc	NOUN
ap-959	224	9	,	,	PUNCT
ap-959	224	10	w	w	PROPN
ap-959	224	11	k	k	PROPN
ap-959	224	12	c	c	PROPN
ap-959	224	13	k	k	X
ap-959	224	14	�	�	PROPN
ap-959	224	15	�	�	PROPN
ap-959	224	16	�	�	PROPN
ap-959	224	17	�	�	PROPN
ap-959	224	18	�	�	PROPN
ap-959	224	19	0	0	NUM
ap-959	224	20	,	,	PUNCT
ap-959	224	21	a	a	PRON
ap-959	224	22	*	*	PUNCT
ap-959	224	23	k	k	X
ap-959	224	24	k	k	X
ap-959	224	25	�	�	PROPN
ap-959	224	26	�	�	PROPN
ap-959	224	27	1	1	NUM
ap-959	224	28	,	,	PUNCT
ap-959	224	29	d	d	PROPN
ap-959	224	30	k	k	PROPN
ap-959	224	31	k	k	PROPN
ap-959	224	32	k	k	PROPN
ap-959	224	33	�	�	PROPN
ap-959	224	34	,	,	PUNCT
ap-959	224	35	a	a	DET
ap-959	224	36	0	0	NUM
ap-959	224	37	0	0	NUM
ap-959	224	38	�	�	NOUN
ap-959	224	39	;	;	PUNCT
ap-959	224	40	w	w	PROPN
ap-959	224	41	k	k	PROPN
ap-959	224	42	c	c	PROPN
ap-959	224	43	k	k	X
ap-959	224	44	�	�	PROPN
ap-959	224	45	�	�	PROPN
ap-959	224	46	�	�	PROPN
ap-959	224	47	�	�	PROPN
ap-959	224	48	�	�	PROPN
ap-959	224	49	�	�	PROPN
ap-959	224	50	�	�	PROPN
ap-959	224	51	1	1	NUM
ap-959	224	52	,	,	PUNCT
ap-959	224	53	a	a	PRON
ap-959	224	54	*	*	PUNCT
ap-959	224	55	k	k	X
ap-959	224	56	k	k	X
ap-959	224	57	�	�	PROPN
ap-959	224	58	�	�	PROPN
ap-959	224	59	1	1	NUM
ap-959	224	60	,	,	PUNCT
ap-959	224	61	d	d	PROPN
ap-959	224	62	k	k	PROPN
ap-959	224	63	k	k	PROPN
ap-959	224	64	k	k	PROPN
ap-959	224	65	�	�	PROPN
ap-959	224	66	,	,	PUNCT
ap-959	224	67	a	a	DET
ap-959	224	68	*	*	PUNCT
ap-959	224	69	�	�	PROPN
ap-959	224	70	�	�	PROPN
ap-959	224	71	1	1	NUM
ap-959	224	72	0	0	NUM
ap-959	224	73	;	;	PUNCT
ap-959	224	74	in	in	ADP
ap-959	224	75	the	the	DET
ap-959	224	76	root	root	NOUN
ap-959	224	77	of	of	ADP
ap-959	224	78	the	the	DET
ap-959	224	79	unity	unity	NOUN
ap-959	224	80	case	case	NOUN
ap-959	224	81	,	,	PUNCT
ap-959	224	82	if	if	SCONJ
ap-959	224	83	r	r	NOUN
ap-959	224	84	is	be	AUX
ap-959	224	85	the	the	DET
ap-959	224	86	smallest	small	ADJ
ap-959	224	87	positive	positive	ADJ
ap-959	224	88	integer	integer	NOUN
ap-959	224	89	such	such	DET
ap-959	224	90	that	that	PRON
ap-959	224	91	q	q	PROPN
ap-959	224	92	r2	r2	PROPN
ap-959	224	93	1	1	NUM
ap-959	224	94	�	�	PROPN
ap-959	224	95	,	,	PUNCT
ap-959	224	96	we	we	PRON
ap-959	224	97	consider	consider	VERB
ap-959	224	98	the	the	DET
ap-959	224	99	r	r	NOUN
ap-959	224	100	-	-	PUNCT
ap-959	224	101	dimensional	dimensional	ADJ
ap-959	224	102	quotient	quotient	NOUN
ap-959	224	103	of	of	ADP
ap-959	224	104	w	w	PROPN
ap-959	224	105	�	�	PROPN
ap-959	224	106	generated	generate	VERB
ap-959	224	107	by	by	ADP
ap-959	224	108	0	0	NUM
ap-959	224	109	or	or	CCONJ
ap-959	224	110	�	�	NOUN
ap-959	224	111	1	1	NUM
ap-959	224	112	.	.	PUNCT
ap-959	225	1	my	my	PRON
ap-959	225	2	goal	goal	NOUN
ap-959	225	3	is	be	AUX
ap-959	225	4	not	not	PART
ap-959	225	5	to	to	PART
ap-959	225	6	give	give	VERB
ap-959	225	7	a	a	DET
ap-959	225	8	complete	complete	ADJ
ap-959	225	9	description	description	NOUN
ap-959	225	10	of	of	ADP
ap-959	225	11	the	the	DET
ap-959	225	12	construction	construction	NOUN
ap-959	225	13	,	,	PUNCT
ap-959	225	14	but	but	CCONJ
ap-959	225	15	rather	rather	ADV
ap-959	225	16	to	to	PART
ap-959	225	17	consider	consider	VERB
ap-959	225	18	an	an	DET
ap-959	225	19	example	example	NOUN
ap-959	225	20	.	.	PUNCT
ap-959	226	1	so	so	ADV
ap-959	226	2	,	,	PUNCT
ap-959	226	3	i	i	PRON
ap-959	226	4	shall	shall	AUX
ap-959	226	5	explain	explain	VERB
ap-959	226	6	how	how	SCONJ
ap-959	226	7	to	to	PART
ap-959	226	8	construct	construct	VERB
ap-959	226	9	the	the	DET
ap-959	226	10	operator	operator	NOUN
ap-959	226	11	c	c	NOUN
ap-959	226	12	(	(	PUNCT
ap-959	226	13	)	)	PUNCT
ap-959	226	14	.	.	PUNCT
ap-959	227	1	this	this	DET
ap-959	227	2	operator	operator	NOUN
ap-959	227	3	has	have	VERB
ap-959	227	4	the	the	DET
ap-959	227	5	block	block	NOUN
ap-959	227	6	structure	structure	NOUN
ap-959	227	7	explained	explain	VERB
ap-959	227	8	before	before	ADV
ap-959	227	9	.	.	PUNCT
ap-959	228	1	let	let	VERB
ap-959	228	2	me	i	PRON
ap-959	228	3	denote	denote	VERB
ap-959	228	4	by	by	ADP
ap-959	228	5	c	c	PROPN
ap-959	228	6	(	(	PUNCT
ap-959	228	7	)	)	PUNCT
ap-959	228	8	its	its	PRON
ap-959	228	9	block	block	NOUN
ap-959	228	10	acting	act	VERB
ap-959	228	11	from	from	ADP
ap-959	228	12	w	w	PROPN
ap-959	228	13	�	�	PROPN
ap-959	228	14	to	to	ADP
ap-959	228	15	w	w	PROPN
ap-959	228	16	�	�	PROPN
ap-959	228	17	�	�	PROPN
ap-959	228	18	1	1	NUM
ap-959	228	19	.	.	PUNCT
ap-959	228	20	returning	return	VERB
ap-959	228	21	to	to	ADP
ap-959	228	22	the	the	DET
ap-959	228	23	l	l	NOUN
ap-959	228	24	-	-	NOUN
ap-959	228	25	operators	operator	NOUN
ap-959	228	26	,	,	PUNCT
ap-959	228	27	we	we	PRON
ap-959	228	28	introduce	introduce	VERB
ap-959	228	29	the	the	DET
ap-959	228	30	following	following	ADJ
ap-959	228	31	one	one	NUM
ap-959	228	32	,	,	PUNCT
ap-959	228	33	which	which	PRON
ap-959	228	34	is	be	AUX
ap-959	228	35	the	the	DET
ap-959	228	36	image	image	NOUN
ap-959	228	37	of	of	ADP
ap-959	228	38	the	the	DET
ap-959	228	39	universal	universal	ADJ
ap-959	228	40	r	r	NOUN
ap-959	228	41	-	-	NOUN
ap-959	228	42	matrix	matrix	NOUN
ap-959	228	43	for	for	ADP
ap-959	228	44	n	n	DET
ap-959	228	45	osc1	osc1	PROPN
ap-959	228	46	�	�	PROPN
ap-959	228	47	,	,	PUNCT
ap-959	228	48	n	n	CCONJ
ap-959	228	49	mat2	mat2	NOUN
ap-959	228	50	2	2	NUM
ap-959	228	51	�	�	PROPN
ap-959	228	52	(	(	PUNCT
ap-959	228	53	,	,	PUNCT
ap-959	228	54	)	)	PUNCT
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ap-959	229	9	a	a	DET
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ap-959	229	17	)	)	PUNCT
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ap-959	229	22	�	�	PROPN
ap-959	229	23	�	�	PROPN
ap-959	229	24	�	�	PROPN
ap-959	229	25	�	�	PROPN
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ap-959	229	27	�	�	PROPN
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ap-959	229	33	1	1	NUM
ap-959	229	34	2	2	NUM
ap-959	229	35	1	1	NUM
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ap-959	229	38	2	2	NUM
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ap-959	229	40	1	1	NUM
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ap-959	231	16	1	1	NUM
ap-959	231	17	1	1	NUM
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ap-959	232	2	j	j	PROPN
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ap-959	232	5	j	j	PROPN
ap-959	232	6	t	t	PROPN
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ap-959	232	9	,	,	PUNCT
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ap-959	232	11	(	(	PUNCT
ap-959	232	12	)	)	PUNCT
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ap-959	232	14	)	)	PUNCT
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ap-959	232	19	2	2	NUM
ap-959	232	20	1	1	NUM
ap-959	232	21	2	2	NUM
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ap-959	232	42	(	(	PUNCT
ap-959	232	43	)	)	PUNCT
ap-959	232	44	(	(	PUNCT
ap-959	232	45	)	)	PUNCT
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ap-959	233	5	that	that	SCONJ
ap-959	233	6	this	this	DET
ap-959	233	7	product	product	NOUN
ap-959	233	8	can	can	AUX
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ap-959	233	11	to	to	ADP
ap-959	233	12	a	a	DET
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ap-959	233	19	particular	particular	ADJ
ap-959	233	20	to	to	ADP
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ap-959	234	10	1	1	NUM
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ap-959	234	19	relation	relation	NOUN
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ap-959	237	1	q	q	X
ap-959	237	2	q	q	X
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ap-959	237	4	a	a	DET
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ap-959	237	7	a	a	DET
ap-959	237	8	a	a	DET
ap-959	237	9	j	j	NOUN
ap-959	237	10	a	a	DET
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ap-959	237	22	(	(	PUNCT
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ap-959	237	37	1	1	NUM
ap-959	237	38	1	1	NUM
ap-959	237	39	1	1	NUM
ap-959	237	40	0	0	NUM
ap-959	237	41	�	�	PROPN
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ap-959	238	29	1	1	NUM
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ap-959	238	31	2	2	NUM
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ap-959	238	37	(	(	PUNCT
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ap-959	239	43	1	1	NUM
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ap-959	240	5	2	2	NUM
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ap-959	240	35	1	1	NUM
ap-959	240	36	1	1	NUM
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ap-959	240	42	�	�	PROPN
ap-959	240	43	�	�	PROPN
ap-959	240	44	�	�	PROPN
ap-959	240	45	�	�	PROPN
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ap-959	240	49	�	�	PROPN
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ap-959	240	54	�	�	PROPN
ap-959	240	55	�	�	PROPN
ap-959	240	56	�	�	PROPN
ap-959	240	57	�	�	PROPN
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ap-959	241	29	(	(	PUNCT
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ap-959	241	31	)	)	PUNCT
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ap-959	241	39	�	�	PROPN
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ap-959	246	7	situation	situation	NOUN
ap-959	246	8	i	i	PRON
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ap-959	246	19	introduce	introduce	VERB
ap-959	246	20	the	the	DET
ap-959	246	21	adjoint	adjoint	NOUN
ap-959	246	22	action	action	NOUN
ap-959	246	23	:	:	PUNCT
ap-959	246	24	�	�	PROPN
ap-959	246	25	x	x	PUNCT
ap-959	247	1	k	k	PUNCT
ap-959	247	2	l	l	PUNCT
ap-959	247	3	x	x	PUNCT
ap-959	248	1	k	k	X
ap-959	248	2	l	l	PUNCT
ap-959	248	3	x	x	X
ap-959	248	4	k	k	PROPN
ap-959	248	5	lt	lt	PRON
ap-959	248	6	t	t	PROPN
ap-959	248	7	,	,	PUNCT
ap-959	248	8	[	[	PUNCT
ap-959	248	9	,	,	PUNCT
ap-959	248	10	]	]	PUNCT
ap-959	248	11	,	,	PUNCT
ap-959	248	12	[	[	PUNCT
ap-959	248	13	,	,	PUNCT
ap-959	248	14	]	]	PUNCT
ap-959	248	15	,	,	PUNCT
ap-959	248	16	[	[	PUNCT
ap-959	248	17	,	,	PUNCT
ap-959	248	18	]	]	X
ap-959	248	19	(	(	PUNCT
ap-959	248	20	)	)	PUNCT
ap-959	248	21	(	(	PUNCT
ap-959	248	22	)	)	PUNCT
ap-959	248	23	(	(	PUNCT
ap-959	248	24	)	)	PUNCT
ap-959	248	25	(	(	PUNCT
ap-959	248	26	)	)	PUNCT
ap-959	248	27	�	�	PROPN
ap-959	248	28	�	�	PROPN
ap-959	248	29	�	�	PROPN
ap-959	248	30	�	�	PROPN
ap-959	248	31	�	�	PROPN
ap-959	248	32	�	�	PROPN
ap-959	248	33	1	1	NUM
ap-959	248	34	.	.	PUNCT
ap-959	249	1	consider	consider	VERB
ap-959	249	2	x	x	PROPN
ap-959	249	3	mk	mk	PROPN
ap-959	249	4	l	l	PROPN
ap-959	249	5	�	�	PROPN
ap-959	249	6	,	,	PUNCT
ap-959	249	7	and	and	CCONJ
ap-959	249	8	define	define	VERB
ap-959	249	9	�	�	PROPN
ap-959	249	10	�	�	PROPN
ap-959	249	11	�	�	PROPN
ap-959	249	12	a	a	DET
ap-959	249	13	k	k	X
ap-959	249	14	l	l	PROPN
ap-959	249	15	a	a	DET
ap-959	249	16	k	k	X
ap-959	249	17	l	l	NOUN
ap-959	249	18	a	a	DET
ap-959	249	19	k	k	X
ap-959	249	20	l	l	NOUN
ap-959	249	21	a	a	X
ap-959	249	22	,	,	PUNCT
ap-959	249	23	[	[	PUNCT
ap-959	249	24	,	,	PUNCT
ap-959	249	25	]	]	PUNCT
ap-959	249	26	,	,	PUNCT
ap-959	249	27	[	[	PUNCT
ap-959	249	28	,	,	PUNCT
ap-959	249	29	]	]	PUNCT
ap-959	249	30	,	,	PUNCT
ap-959	249	31	[	[	PUNCT
ap-959	249	32	,	,	PUNCT
ap-959	249	33	]	]	X
ap-959	249	34	(	(	PUNCT
ap-959	249	35	,	,	PUNCT
ap-959	249	36	)	)	PUNCT
ap-959	249	37	(	(	PUNCT
ap-959	249	38	,	,	PUNCT
ap-959	249	39	)	)	PUNCT
ap-959	249	40	(	(	PUNCT
ap-959	249	41	,	,	PUNCT
ap-959	249	42	)	)	PUNCT
ap-959	249	43	(	(	PUNCT
ap-959	249	44	�	�	PROPN
ap-959	249	45	�	�	PROPN
ap-959	249	46	�	�	PROPN
ap-959	249	47	0	0	NUM
ap-959	249	48	�	�	PROPN
ap-959	249	49	�	�	PROPN
ap-959	249	50	�	�	PROPN
ap-959	249	51	�	�	PROPN
ap-959	249	52	�	�	PROPN
ap-959	249	53	�	�	PROPN
ap-959	249	54	�	�	PROPN
ap-959	249	55	x	x	PUNCT
ap-959	249	56	q	q	X
ap-959	249	57	q	q	X
ap-959	249	58	x	x	X
ap-959	249	59	a	a	PRON
ap-959	249	60	a	a	PRON
ap-959	250	1	k	k	NOUN
ap-959	250	2	l	l	NOUN
ap-959	250	3	d	d	X
ap-959	250	4	s	s	VERB
ap-959	250	5	a	a	DET
ap-959	250	6	a	a	DET
ap-959	250	7	k	k	NOUN
ap-959	250	8	l	l	NOUN
ap-959	250	9	)	)	PUNCT
ap-959	250	10	(	(	PUNCT
ap-959	250	11	)	)	PUNCT
ap-959	250	12	(	(	PUNCT
ap-959	250	13	)	)	PUNCT
ap-959	250	14	,	,	PUNCT
ap-959	250	15	{	{	PUNCT
ap-959	250	16	,	,	PUNCT
ap-959	250	17	}	}	PUNCT
ap-959	250	18	,	,	PUNCT
ap-959	250	19	[	[	PUNCT
ap-959	250	20	,	,	PUNCT
ap-959	250	21	]	]	X
ap-959	250	22	(	(	PUNCT
ap-959	250	23	)	)	PUNCT
ap-959	250	24	(	(	PUNCT
ap-959	250	25	)	)	PUNCT
ap-959	250	26	[	[	PUNCT
ap-959	250	27	,	,	PUNCT
ap-959	250	28	]	]	PUNCT
ap-959	250	29	�	�	PROPN
ap-959	250	30	�	�	PROPN
ap-959	250	31	�	�	PROPN
ap-959	250	32	�	�	PROPN
ap-959	250	33	�	�	PROPN
ap-959	250	34	�	�	PROPN
ap-959	250	35	�	�	PROPN
ap-959	250	36	1	1	NUM
ap-959	250	37	2	2	NUM
ap-959	250	38	23	23	NUM
ap-959	250	39	where	where	SCONJ
ap-959	250	40	s	s	VERB
ap-959	250	41	k	k	PROPN
ap-959	250	42	l	l	PROPN
ap-959	250	43	j	j	PROPN
ap-959	251	1	j	j	PROPN
ap-959	251	2	k	k	PROPN
ap-959	251	3	j	j	PROPN
ap-959	251	4	[	[	PUNCT
ap-959	251	5	,	,	PUNCT
ap-959	251	6	]	]	PUNCT
ap-959	251	7	�	�	PROPN
ap-959	251	8	�	�	PROPN
ap-959	251	9	�	�	PROPN
ap-959	251	10	1	1	NUM
ap-959	251	11	2	2	NUM
ap-959	251	12	3	3	NUM
ap-959	251	13	�	�	PROPN
ap-959	251	14	.	.	PUNCT
ap-959	252	1	from	from	ADP
ap-959	252	2	the	the	DET
ap-959	252	3	fusion	fusion	NOUN
ap-959	252	4	relation	relation	NOUN
ap-959	252	5	we	we	PRON
ap-959	252	6	obtain	obtain	VERB
ap-959	252	7	:	:	PUNCT
ap-959	252	8	�	�	PROPN
ap-959	252	9	�	�	PROPN
ap-959	252	10	�	�	PROPN
ap-959	252	11	a	a	DET
ap-959	252	12	k	k	X
ap-959	252	13	l	l	PROPN
ap-959	252	14	a	a	DET
ap-959	252	15	k	k	X
ap-959	252	16	l	l	PROPN
ap-959	252	17	dx	dx	PROPN
ap-959	253	1	q	q	PROPN
ap-959	253	2	q	q	X
ap-959	253	3	q	q	X
ap-959	253	4	q	q	X
ap-959	253	5	qa	qa	PROPN
ap-959	253	6	,	,	PUNCT
ap-959	253	7	[	[	PUNCT
ap-959	253	8	,	,	PUNCT
ap-959	253	9	]	]	PUNCT
ap-959	253	10	,	,	PUNCT
ap-959	253	11	[	[	PUNCT
ap-959	253	12	,	,	PUNCT
ap-959	253	13	]	]	X
ap-959	253	14	(	(	PUNCT
ap-959	253	15	)	)	PUNCT
ap-959	253	16	(	(	PUNCT
ap-959	253	17	,	,	PUNCT
ap-959	253	18	)	)	PUNCT
ap-959	253	19	(	(	PUNCT
ap-959	253	20	)	)	PUNCT
ap-959	253	21	(	(	PUNCT
ap-959	253	22	,	,	PUNCT
ap-959	253	23	)	)	PUNCT
ap-959	253	24	(	(	PUNCT
ap-959	253	25	�	�	PROPN
ap-959	253	26	�	�	PROPN
ap-959	253	27	�	�	PROPN
ap-959	253	28	�	�	PROPN
ap-959	253	29	�	�	PROPN
ap-959	253	30	�	�	PROPN
ap-959	253	31	�	�	PROPN
ap-959	253	32	�	�	PROPN
ap-959	253	33	1	1	NUM
ap-959	253	34	2	2	NUM
ap-959	253	35	1	1	NUM
ap-959	253	36	2s	2s	NUM
ap-959	253	37	k	k	X
ap-959	253	38	l	l	NOUN
ap-959	253	39	x	x	X
ap-959	253	40	[	[	X
ap-959	253	41	,	,	PUNCT
ap-959	253	42	]	]	PUNCT
ap-959	253	43	)	)	PUNCT
ap-959	253	44	,	,	PUNCT
ap-959	253	45	�	�	PROPN
ap-959	253	46	�	�	PROPN
ap-959	253	47	�	�	PROPN
ap-959	253	48	a	a	DET
ap-959	253	49	k	k	X
ap-959	253	50	l	l	PROPN
ap-959	253	51	a	a	DET
ap-959	253	52	k	k	X
ap-959	253	53	l	l	PROPN
ap-959	253	54	dx	dx	PROPN
ap-959	253	55	q	q	PROPN
ap-959	253	56	q	q	X
ap-959	253	57	q	q	X
ap-959	253	58	q	q	X
ap-959	253	59	a	a	PRON
ap-959	253	60	,	,	PUNCT
ap-959	253	61	[	[	PUNCT
ap-959	253	62	,	,	PUNCT
ap-959	253	63	]	]	PUNCT
ap-959	253	64	,	,	PUNCT
ap-959	253	65	[	[	PUNCT
ap-959	253	66	,	,	PUNCT
ap-959	253	67	]	]	X
ap-959	253	68	(	(	PUNCT
ap-959	253	69	)	)	PUNCT
ap-959	253	70	(	(	PUNCT
ap-959	253	71	,	,	PUNCT
ap-959	253	72	)	)	PUNCT
ap-959	253	73	(	(	PUNCT
ap-959	253	74	)	)	PUNCT
ap-959	253	75	(	(	PUNCT
ap-959	253	76	,	,	PUNCT
ap-959	253	77	)	)	PUNCT
ap-959	253	78	(	(	PUNCT
ap-959	253	79	�	�	PROPN
ap-959	253	80	�	�	PROPN
ap-959	253	81	�	�	PROPN
ap-959	253	82	�	�	PROPN
ap-959	253	83	�	�	PROPN
ap-959	253	84	�	�	PROPN
ap-959	253	85	�	�	PROPN
ap-959	253	86	�	�	PROPN
ap-959	253	87	�	�	PROPN
ap-959	253	88	1	1	NUM
ap-959	253	89	1	1	NUM
ap-959	253	90	2	2	NUM
ap-959	253	91	1	1	NUM
ap-959	253	92	q	q	NOUN
ap-959	253	93	x	x	X
ap-959	253	94	s	s	PROPN
ap-959	253	95	k	k	PROPN
ap-959	253	96	l	l	X
ap-959	253	97	�	�	PROPN
ap-959	253	98	2	2	NUM
ap-959	253	99	[	[	PUNCT
ap-959	253	100	,	,	PUNCT
ap-959	253	101	]	]	PUNCT
ap-959	253	102	)	)	PUNCT
ap-959	253	103	,	,	PUNCT
ap-959	253	104	where	where	SCONJ
ap-959	253	105	�	�	PROPN
ap-959	253	106	stands	stand	VERB
ap-959	253	107	for	for	ADP
ap-959	253	108	the	the	DET
ap-959	253	109	adjoint	adjoint	NOUN
ap-959	253	110	action	action	NOUN
ap-959	253	111	of	of	ADP
ap-959	253	112	total	total	ADJ
ap-959	253	113	spin	spin	NOUN
ap-959	253	114	.	.	PUNCT
ap-959	254	1	now	now	ADV
ap-959	254	2	i	i	PRON
ap-959	254	3	introduce	introduce	VERB
ap-959	254	4	the	the	DET
ap-959	254	5	most	most	ADV
ap-959	254	6	important	important	ADJ
ap-959	254	7	object	object	NOUN
ap-959	254	8	:	:	PUNCT
ap-959	255	1	c	c	X
ap-959	255	2	[	[	PUNCT
ap-959	255	3	,	,	PUNCT
ap-959	255	4	]	]	X
ap-959	255	5	(	(	PUNCT
ap-959	255	6	0	0	X
ap-959	255	7	)	)	PUNCT
ap-959	255	8	trk	trk	NOUN
ap-959	255	9	l	l	PROPN
ap-959	256	1	a	a	DET
ap-959	256	2	a	a	DET
ap-959	256	3	k	k	PROPN
ap-959	256	4	l	l	NOUN
ap-959	256	5	sx	sx	PROPN
ap-959	256	6	x	x	PROPN
ap-959	256	7	(	(	PUNCT
ap-959	256	8	,	,	PUNCT
ap-959	256	9	)	)	PUNCT
ap-959	256	10	(	(	PUNCT
ap-959	256	11	)	)	PUNCT
ap-959	256	12	(	(	PUNCT
ap-959	256	13	(	(	PUNCT
ap-959	256	14	,	,	PUNCT
ap-959	256	15	)	)	PUNCT
ap-959	256	16	(	(	PUNCT
ap-959	256	17	)	)	PUNCT
ap-959	256	18	,	,	PUNCT
ap-959	256	19	[	[	PUNCT
ap-959	256	20	,	,	PUNCT
ap-959	256	21	]	]	PUNCT
ap-959	256	22	�	�	PROPN
ap-959	256	23	�	�	PROPN
ap-959	256	24	�	�	PROPN
ap-959	256	25	�	�	PROPN
ap-959	256	26	�	�	PROPN
ap-959	256	27	�	�	PROPN
ap-959	256	28	�	�	PROPN
ap-959	256	29	,	,	PUNCT
ap-959	256	30	34	34	NUM
ap-959	256	31	©	©	PROPN
ap-959	256	32	czech	czech	PROPN
ap-959	256	33	technical	technical	PROPN
ap-959	256	34	university	university	PROPN
ap-959	256	35	publishing	publishing	NOUN
ap-959	256	36	house	house	NOUN
ap-959	256	37	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	256	38	acta	acta	PROPN
ap-959	256	39	polytechnica	polytechnica	PROPN
ap-959	256	40	vol	vol	NOUN
ap-959	256	41	.	.	PUNCT
ap-959	257	1	48	48	NUM
ap-959	257	2	no	no	NOUN
ap-959	257	3	.	.	PUNCT
ap-959	258	1	2/2008	2/2008	NOUN
ap-959	259	1	the	the	DET
ap-959	259	2	trace	trace	NOUN
ap-959	259	3	is	be	AUX
ap-959	259	4	taken	take	VERB
ap-959	259	5	with	with	ADP
ap-959	259	6	respect	respect	NOUN
ap-959	259	7	to	to	ADP
ap-959	259	8	w+	w+	NUM
ap-959	259	9	,	,	PUNCT
ap-959	259	10	it	it	PRON
ap-959	259	11	converges	converge	VERB
ap-959	259	12	for	for	ADP
ap-959	259	13	q	q	PROPN
ap-959	259	14	�	�	PROPN
ap-959	259	15	�	�	PROPN
ap-959	259	16	1	1	NUM
ap-959	259	17	,	,	PUNCT
ap-959	259	18	and	and	CCONJ
ap-959	259	19	continues	continue	VERB
ap-959	259	20	analytically	analytically	ADV
ap-959	259	21	to	to	ADP
ap-959	259	22	the	the	DET
ap-959	259	23	other	other	ADJ
ap-959	259	24	�	�	PROPN
ap-959	259	25	.	.	PUNCT
ap-959	260	1	there	there	PRON
ap-959	260	2	is	be	VERB
ap-959	260	3	one	one	NUM
ap-959	260	4	obvious	obvious	ADJ
ap-959	260	5	property	property	NOUN
ap-959	260	6	of	of	ADP
ap-959	260	7	c	c	PROPN
ap-959	260	8	[	[	PUNCT
ap-959	260	9	,	,	PUNCT
ap-959	260	10	]	]	X
ap-959	260	11	(	(	PUNCT
ap-959	260	12	0	0	NUM
ap-959	260	13	)	)	PUNCT
ap-959	260	14	k	k	NOUN
ap-959	260	15	l	l	NOUN
ap-959	260	16	(	(	PUNCT
ap-959	260	17	,	,	PUNCT
ap-959	260	18	)	)	PUNCT
ap-959	260	19	�	�	PROPN
ap-959	260	20	:	:	PUNCT
ap-959	260	21	c	c	NOUN
ap-959	260	22	c	c	X
ap-959	260	23	[	[	X
ap-959	260	24	,	,	PUNCT
ap-959	260	25	]	]	X
ap-959	260	26	(	(	PUNCT
ap-959	260	27	0	0	NUM
ap-959	260	28	)	)	PUNCT
ap-959	260	29	,	,	PUNCT
ap-959	260	30	[	[	PUNCT
ap-959	260	31	,	,	PUNCT
ap-959	260	32	]	]	X
ap-959	260	33	(	(	PUNCT
ap-959	260	34	k	k	NOUN
ap-959	260	35	l	l	PROPN
ap-959	260	36	k	k	X
ap-959	261	1	l	l	PUNCT
ap-959	261	2	k	k	X
ap-959	261	3	lq	lq	INTJ
ap-959	261	4	x	x	X
ap-959	261	5	qk	qk	ADP
ap-959	261	6	k	k	PROPN
ap-959	261	7	(	(	PUNCT
ap-959	261	8	,	,	PUNCT
ap-959	261	9	)	)	PUNCT
ap-959	261	10	[	[	PUNCT
ap-959	261	11	]	]	X
ap-959	261	12	(	(	PUNCT
ap-959	261	13	)	)	PUNCT
ap-959	261	14	�	�	PROPN
ap-959	261	15	�	�	PROPN
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ap-959	261	17	�	�	PROPN
ap-959	261	18	�	�	PROPN
ap-959	261	19	3	3	NUM
ap-959	261	20	3	3	NUM
ap-959	261	21	1	1	NUM
ap-959	261	22	1	1	NUM
ap-959	261	23	�	�	PROPN
ap-959	261	24	�	�	PROPN
ap-959	261	25	�	�	PROPN
ap-959	261	26	�	�	PROPN
ap-959	261	27	�	�	PROPN
ap-959	261	28	�	�	PROPN
ap-959	261	29	�	�	PROPN
ap-959	261	30	�	�	PROPN
ap-959	261	31	0	0	NUM
ap-959	261	32	)	)	PUNCT
ap-959	261	33	(	(	PUNCT
ap-959	261	34	,	,	PUNCT
ap-959	261	35	)	)	PUNCT
ap-959	261	36	(	(	PUNCT
ap-959	261	37	)	)	PUNCT
ap-959	261	38	[	[	PUNCT
ap-959	261	39	,	,	PUNCT
ap-959	261	40	]	]	PUNCT
ap-959	261	41	�	�	PROPN
ap-959	261	42	x	x	PUNCT
ap-959	261	43	k	k	PROPN
ap-959	261	44	l	l	X
ap-959	261	45	�	�	PROPN
ap-959	261	46	1	1	NUM
ap-959	261	47	.	.	PUNCT
ap-959	262	1	it	it	PRON
ap-959	262	2	follows	follow	VERB
ap-959	262	3	from	from	ADP
ap-959	262	4	the	the	DET
ap-959	262	5	definition	definition	NOUN
ap-959	262	6	of	of	ADP
ap-959	262	7	the	the	DET
ap-959	262	8	adjoint	adjoint	NOUN
ap-959	262	9	and	and	CCONJ
ap-959	262	10	u(1)-symmetry	u(1)-symmetry	NOUN
ap-959	262	11	of	of	ADP
ap-959	262	12	the	the	DET
ap-959	262	13	l	l	NOUN
ap-959	262	14	-	-	NOUN
ap-959	262	15	operator	operator	NOUN
ap-959	262	16	.	.	PUNCT
ap-959	263	1	we	we	PRON
ap-959	263	2	call	call	VERB
ap-959	263	3	this	this	DET
ap-959	263	4	property	property	NOUN
ap-959	263	5	the	the	DET
ap-959	263	6	first	first	ADJ
ap-959	263	7	reduction	reduction	NOUN
ap-959	263	8	relation	relation	NOUN
ap-959	263	9	.	.	PUNCT
ap-959	264	1	in	in	ADP
ap-959	264	2	addition	addition	NOUN
ap-959	264	3	there	there	PRON
ap-959	264	4	is	be	VERB
ap-959	264	5	another	another	DET
ap-959	264	6	property	property	NOUN
ap-959	264	7	which	which	PRON
ap-959	264	8	is	be	AUX
ap-959	264	9	a	a	DET
ap-959	264	10	result	result	NOUN
ap-959	264	11	of	of	ADP
ap-959	264	12	non	non	ADJ
ap-959	264	13	-	-	ADJ
ap-959	264	14	trivial	trivial	ADJ
ap-959	264	15	calculation	calculation	NOUN
ap-959	264	16	:	:	PUNCT
ap-959	264	17	�	�	PROPN
ap-959	264	18	�	�	PROPN
ap-959	264	19	c	c	NOUN
ap-959	264	20	c	c	X
ap-959	264	21	[	[	X
ap-959	264	22	,	,	PUNCT
ap-959	264	23	]	]	X
ap-959	264	24	(	(	PUNCT
ap-959	264	25	0	0	NUM
ap-959	264	26	)	)	PUNCT
ap-959	264	27	,	,	PUNCT
ap-959	264	28	[	[	PUNCT
ap-959	264	29	,	,	PUNCT
ap-959	264	30	]	]	X
ap-959	264	31	(	(	PUNCT
ap-959	264	32	0	0	NUM
ap-959	264	33	)	)	PUNCT
ap-959	264	34	,	,	PUNCT
ap-959	265	1	k	k	PROPN
ap-959	265	2	l	l	PUNCT
ap-959	266	1	k	k	X
ap-959	266	2	l	l	PUNCT
ap-959	266	3	l	l	PUNCT
ap-959	267	1	k	k	X
ap-959	267	2	l	l	PUNCT
ap-959	268	1	k	k	NOUN
ap-959	269	1	lx	lx	ADP
ap-959	269	2	i	i	PRON
ap-959	269	3	x	x	PROPN
ap-959	270	1	i	i	PROPN
ap-959	270	2	(	(	PUNCT
ap-959	270	3	,	,	PUNCT
ap-959	270	4	)	)	PUNCT
ap-959	270	5	(	(	PUNCT
ap-959	270	6	,	,	PUNCT
ap-959	270	7	)	)	PUNCT
ap-959	270	8	[	[	PUNCT
ap-959	270	9	]	]	X
ap-959	270	10	[	[	PUNCT
ap-959	270	11	]	]	X
ap-959	270	12	�	�	PROPN
ap-959	270	13	�	�	PROPN
ap-959	270	14	�	�	PROPN
ap-959	270	15	�	�	PROPN
ap-959	270	16	�	�	PROPN
ap-959	270	17	�	�	PROPN
ap-959	270	18	1	1	NUM
ap-959	270	19	1	1	NUM
ap-959	270	20	1	1	NUM
ap-959	270	21	l	l	NOUN
ap-959	270	22	f	f	X
ap-959	270	23	�	�	PROPN
ap-959	270	24	�	�	PROPN
ap-959	270	25	(	(	PUNCT
ap-959	270	26	(	(	PUNCT
ap-959	270	27	)	)	PUNCT
ap-959	270	28	)	)	PUNCT
ap-959	270	29	,	,	PUNCT
ap-959	270	30	where	where	SCONJ
ap-959	270	31	�	�	PROPN
ap-959	270	32	(	(	PUNCT
ap-959	270	33	(	(	PUNCT
ap-959	270	34	)	)	PUNCT
ap-959	270	35	)	)	PUNCT
ap-959	270	36	(	(	PUNCT
ap-959	270	37	)	)	PUNCT
ap-959	270	38	(	(	PUNCT
ap-959	270	39	)	)	PUNCT
ap-959	270	40	f	f	PROPN
ap-959	271	1	f	f	X
ap-959	271	2	q	q	X
ap-959	271	3	f	f	X
ap-959	271	4	q	q	PROPN
ap-959	271	5	�	�	PROPN
ap-959	271	6	�	�	PROPN
ap-959	271	7	�	�	PROPN
ap-959	271	8	1	1	NUM
ap-959	271	9	,	,	PUNCT
ap-959	271	10	the	the	DET
ap-959	271	11	explicit	explicit	ADJ
ap-959	271	12	expression	expression	NOUN
ap-959	271	13	for	for	ADP
ap-959	271	14	f	f	PROPN
ap-959	271	15	(	(	PUNCT
ap-959	271	16	)	)	PUNCT
ap-959	271	17	is	be	AUX
ap-959	271	18	irrelevant	irrelevant	ADJ
ap-959	271	19	here	here	ADV
ap-959	271	20	.	.	PUNCT
ap-959	272	1	so	so	ADV
ap-959	272	2	,	,	PUNCT
ap-959	272	3	the	the	DET
ap-959	272	4	reduction	reduction	NOUN
ap-959	272	5	relation	relation	NOUN
ap-959	272	6	from	from	ADP
ap-959	272	7	the	the	DET
ap-959	272	8	right	right	NOUN
ap-959	272	9	is	be	AUX
ap-959	272	10	satisfied	satisfied	ADJ
ap-959	272	11	up	up	ADP
ap-959	272	12	to	to	ADP
ap-959	272	13	the	the	DET
ap-959	272	14	“	"	PUNCT
ap-959	272	15	q	q	ADJ
ap-959	272	16	-	-	PUNCT
ap-959	272	17	exact	exact	ADJ
ap-959	272	18	form	form	NOUN
ap-959	272	19	”	"	PUNCT
ap-959	272	20	.	.	PUNCT
ap-959	273	1	in	in	ADP
ap-959	273	2	classical	classical	ADJ
ap-959	273	3	mathematics	mathematic	NOUN
ap-959	273	4	the	the	DET
ap-959	273	5	additional	additional	ADJ
ap-959	273	6	term	term	NOUN
ap-959	273	7	is	be	AUX
ap-959	273	8	usually	usually	ADV
ap-959	273	9	eliminated	eliminate	VERB
ap-959	273	10	by	by	ADP
ap-959	273	11	integrating	integrate	VERB
ap-959	273	12	over	over	ADP
ap-959	273	13	the	the	DET
ap-959	273	14	closed	closed	ADJ
ap-959	273	15	cycle	cycle	NOUN
ap-959	273	16	.	.	PUNCT
ap-959	274	1	here	here	ADV
ap-959	274	2	it	it	PRON
ap-959	274	3	is	be	AUX
ap-959	274	4	similar	similar	ADJ
ap-959	274	5	.	.	PUNCT
ap-959	275	1	obviously	obviously	ADV
ap-959	275	2	,	,	PUNCT
ap-959	275	3	c	c	X
ap-959	275	4	[	[	PUNCT
ap-959	275	5	,	,	PUNCT
ap-959	275	6	]	]	X
ap-959	275	7	(	(	PUNCT
ap-959	275	8	0	0	NUM
ap-959	275	9	)	)	PUNCT
ap-959	275	10	k	k	NOUN
ap-959	275	11	l	l	NOUN
ap-959	275	12	(	(	PUNCT
ap-959	275	13	,	,	PUNCT
ap-959	275	14	)	)	PUNCT
ap-959	275	15	�	�	PROPN
ap-959	275	16	is	be	AUX
ap-959	275	17	singular	singular	ADJ
ap-959	275	18	at	at	ADP
ap-959	275	19	2	2	NUM
ap-959	275	20	2	2	NUM
ap-959	275	21	21	21	NUM
ap-959	275	22	�	�	PROPN
ap-959	275	23	�	�	PROPN
ap-959	275	24	,	,	PUNCT
ap-959	275	25	,	,	PUNCT
ap-959	275	26	q	q	X
ap-959	275	27	q	q	NOUN
ap-959	275	28	.	.	PUNCT
ap-959	276	1	then	then	ADV
ap-959	276	2	the	the	DET
ap-959	276	3	above	above	ADJ
ap-959	276	4	relation	relation	NOUN
ap-959	276	5	implies	imply	VERB
ap-959	276	6	that	that	SCONJ
ap-959	276	7	for	for	ADP
ap-959	276	8	c	c	PROPN
ap-959	276	9	(	(	PUNCT
ap-959	276	10	c	c	NOUN
ap-959	276	11	c	c	X
ap-959	276	12	[	[	PUNCT
ap-959	276	13	,	,	PUNCT
ap-959	276	14	]	]	X
ap-959	276	15	(	(	PUNCT
ap-959	276	16	,	,	PUNCT
ap-959	276	17	)	)	PUNCT
ap-959	276	18	sin	sin	NOUN
ap-959	276	19	(	(	PUNCT
ap-959	276	20	,	,	PUNCT
ap-959	276	21	)	)	PUNCT
ap-959	276	22	(	(	PUNCT
ap-959	276	23	k	k	NOUN
ap-959	276	24	l	l	PROPN
ap-959	276	25	k	k	X
ap-959	276	26	l	l	PUNCT
ap-959	276	27	k	k	X
ap-959	276	28	la	la	PRON
ap-959	276	29	q	q	PROPN
ap-959	276	30	q	q	PROPN
ap-959	276	31	�	�	PROPN
ap-959	276	32	�	�	PROPN
ap-959	276	33	�	�	PROPN
ap-959	276	34	�	�	PROPN
ap-959	276	35	g	g	PROPN
ap-959	276	36	2=1	2=1	NUM
ap-959	276	37	[	[	PUNCT
ap-959	276	38	,	,	PUNCT
ap-959	276	39	]	]	X
ap-959	276	40	(	(	PUNCT
ap-959	276	41	0	0	NUM
ap-959	276	42	)	)	PUNCT
ap-959	276	43	[	[	PUNCT
ap-959	276	44	,	,	PUNCT
ap-959	276	45	]	]	X
ap-959	276	46	(	(	PUNCT
ap-959	276	47	0	0	NUM
ap-959	276	48	)	)	PUNCT
ap-959	276	49	1	1	NUM
ap-959	276	50	,	,	PUNCT
ap-959	276	51	)	)	PUNCT
ap-959	276	52	)	)	PUNCT
ap-959	276	53	�	�	PROPN
ap-959	276	54	we	we	PRON
ap-959	276	55	have	have	VERB
ap-959	276	56	c	c	NOUN
ap-959	276	57	c	c	X
ap-959	276	58	[	[	X
ap-959	276	59	,	,	PUNCT
ap-959	276	60	]	]	X
ap-959	276	61	[	[	PUNCT
ap-959	276	62	,	,	PUNCT
ap-959	276	63	]	]	X
ap-959	276	64	[	[	PUNCT
ap-959	276	65	,	,	PUNCT
ap-959	276	66	]	]	X
ap-959	276	67	[	[	PUNCT
ap-959	276	68	,	,	PUNCT
ap-959	276	69	]	]	X
ap-959	276	70	(	(	PUNCT
ap-959	276	71	,	,	PUNCT
ap-959	276	72	)	)	PUNCT
ap-959	276	73	(	(	PUNCT
ap-959	276	74	)	)	PUNCT
ap-959	276	75	(	(	PUNCT
ap-959	276	76	,	,	PUNCT
ap-959	276	77	)	)	PUNCT
ap-959	276	78	(	(	PUNCT
ap-959	276	79	)	)	PUNCT
ap-959	276	80	k	k	X
ap-959	276	81	l	l	PUNCT
ap-959	277	1	k	k	X
ap-959	277	2	l	l	PUNCT
ap-959	277	3	l	l	PUNCT
ap-959	278	1	k	k	X
ap-959	278	2	l	l	PUNCT
ap-959	278	3	k	k	X
ap-959	278	4	l	l	PUNCT
ap-959	278	5	la	la	X
ap-959	278	6	x	x	PUNCT
ap-959	278	7	i	i	PRON
ap-959	278	8	a	a	X
ap-959	278	9	x	x	X
ap-959	278	10	i	i	PRON
ap-959	278	11	�	�	PROPN
ap-959	278	12	�	�	PROPN
ap-959	278	13	�	�	PROPN
ap-959	278	14	�	�	PROPN
ap-959	278	15	1	1	NUM
ap-959	278	16	1	1	NUM
ap-959	278	17	1	1	NUM
ap-959	278	18	.	.	PUNCT
ap-959	279	1	this	this	PRON
ap-959	279	2	is	be	AUX
ap-959	279	3	the	the	DET
ap-959	279	4	second	second	ADJ
ap-959	279	5	reduction	reduction	NOUN
ap-959	279	6	relation	relation	NOUN
ap-959	279	7	.	.	PUNCT
ap-959	280	1	now	now	ADV
ap-959	280	2	we	we	PRON
ap-959	280	3	are	be	AUX
ap-959	280	4	able	able	ADJ
ap-959	280	5	to	to	PART
ap-959	280	6	define	define	VERB
ap-959	280	7	the	the	DET
ap-959	280	8	operator	operator	NOUN
ap-959	280	9	c	c	X
ap-959	280	10	(	(	PUNCT
ap-959	280	11	,	,	PUNCT
ap-959	280	12	)	)	PUNCT
ap-959	280	13	a	a	DET
ap-959	280	14	acting	acting	NOUN
ap-959	280	15	from	from	ADP
ap-959	280	16	w	w	PROPN
ap-959	280	17	�	�	PROPN
ap-959	280	18	to	to	ADP
ap-959	280	19	w	w	PROPN
ap-959	280	20	�	�	PROPN
ap-959	280	21	�	�	NOUN
ap-959	280	22	1	1	NUM
ap-959	280	23	taking	take	VERB
ap-959	280	24	the	the	DET
ap-959	280	25	inductive	inductive	ADJ
ap-959	280	26	limit	limit	NOUN
ap-959	280	27	.	.	PUNCT
ap-959	281	1	indeed	indeed	ADV
ap-959	281	2	consider	consider	VERB
ap-959	281	3	x	x	SYM
ap-959	281	4	w	w	PROPN
ap-959	281	5	�	�	PROPN
ap-959	281	6	�	�	PROPN
ap-959	281	7	,	,	PUNCT
ap-959	281	8	denote	denote	VERB
ap-959	281	9	by	by	ADP
ap-959	281	10	x	x	PROPN
ap-959	281	11	k	k	X
ap-959	281	12	l	l	PROPN
ap-959	281	13	[	[	PUNCT
ap-959	281	14	,	,	PUNCT
ap-959	281	15	]	]	PUNCT
ap-959	281	16	its	its	PRON
ap-959	281	17	restriction	restriction	NOUN
ap-959	281	18	to	to	ADP
ap-959	281	19	the	the	DET
ap-959	281	20	interval	interval	NOUN
ap-959	281	21	[	[	PUNCT
ap-959	281	22	,	,	PUNCT
ap-959	281	23	]	]	X
ap-959	281	24	k	k	X
ap-959	281	25	l	l	NOUN
ap-959	281	26	.	.	PUNCT
ap-959	282	1	then	then	ADV
ap-959	282	2	c	c	NOUN
ap-959	282	3	c	c	X
ap-959	282	4	(	(	PUNCT
ap-959	282	5	,	,	PUNCT
ap-959	282	6	)	)	PUNCT
ap-959	282	7	(	(	PUNCT
ap-959	282	8	)	)	PUNCT
ap-959	282	9	lim	lim	PROPN
ap-959	282	10	(	(	PUNCT
ap-959	282	11	,	,	PUNCT
ap-959	282	12	)	)	PUNCT
ap-959	282	13	(	(	PUNCT
ap-959	282	14	)	)	PUNCT
ap-959	282	15	,	,	PUNCT
ap-959	282	16	[	[	PUNCT
ap-959	282	17	,	,	PUNCT
ap-959	282	18	]	]	X
ap-959	282	19	[	[	PUNCT
ap-959	282	20	,	,	PUNCT
ap-959	282	21	]	]	PUNCT
ap-959	282	22	a	a	DET
ap-959	282	23	x	x	SYM
ap-959	282	24	a	a	X
ap-959	282	25	x	x	X
ap-959	282	26	k	k	NOUN
ap-959	282	27	l	l	PROPN
ap-959	282	28	k	k	X
ap-959	282	29	l	l	PUNCT
ap-959	282	30	k	k	PROPN
ap-959	282	31	l	l	X
ap-959	282	32	�	�	PROPN
ap-959	282	33	�	�	PROPN
ap-959	282	34	�	�	PROPN
ap-959	282	35	�	�	PROPN
ap-959	282	36	�	�	PROPN
ap-959	282	37	due	due	ADP
ap-959	282	38	to	to	ADP
ap-959	282	39	the	the	DET
ap-959	282	40	reduction	reduction	NOUN
ap-959	282	41	relation	relation	NOUN
ap-959	282	42	the	the	DET
ap-959	282	43	limit	limit	NOUN
ap-959	282	44	is	be	AUX
ap-959	282	45	well	well	ADV
ap-959	282	46	-	-	PUNCT
ap-959	282	47	defined	define	VERB
ap-959	282	48	since	since	SCONJ
ap-959	282	49	for	for	ADP
ap-959	282	50	a	a	DET
ap-959	282	51	large	large	ADJ
ap-959	282	52	enough	enough	ADJ
ap-959	282	53	interval	interval	NOUN
ap-959	282	54	[	[	PUNCT
ap-959	282	55	,	,	PUNCT
ap-959	282	56	]	]	X
ap-959	282	57	k	k	X
ap-959	282	58	l	l	NOUN
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ap-959	282	60	sequence	sequence	NOUN
ap-959	282	61	stabilizes	stabilize	VERB
ap-959	282	62	!	!	PUNCT
ap-959	283	1	the	the	DET
ap-959	283	2	commutation	commutation	NOUN
ap-959	283	3	relations	relation	NOUN
ap-959	283	4	are	be	AUX
ap-959	283	5	proved	prove	VERB
ap-959	283	6	similarly	similarly	ADV
ap-959	283	7	.	.	PUNCT
ap-959	284	1	i	i	PRON
ap-959	284	2	do	do	AUX
ap-959	284	3	not	not	PART
ap-959	284	4	go	go	VERB
ap-959	284	5	into	into	ADP
ap-959	284	6	details	detail	NOUN
ap-959	284	7	,	,	PUNCT
ap-959	284	8	but	but	CCONJ
ap-959	284	9	using	use	VERB
ap-959	284	10	the	the	DET
ap-959	284	11	r	r	NOUN
ap-959	284	12	-	-	PUNCT
ap-959	284	13	matrix	matrix	NOUN
ap-959	284	14	one	one	NOUN
ap-959	284	15	can	can	AUX
ap-959	284	16	show	show	VERB
ap-959	284	17	that	that	SCONJ
ap-959	284	18	c	c	NOUN
ap-959	284	19	c	c	NOUN
ap-959	284	20	c	c	X
ap-959	284	21	[	[	PUNCT
ap-959	284	22	,	,	PUNCT
ap-959	284	23	]	]	X
ap-959	284	24	(	(	PUNCT
ap-959	284	25	0	0	NUM
ap-959	284	26	)	)	PUNCT
ap-959	284	27	[	[	PUNCT
ap-959	284	28	,	,	PUNCT
ap-959	284	29	]	]	X
ap-959	284	30	(	(	PUNCT
ap-959	284	31	0	0	NUM
ap-959	284	32	)	)	PUNCT
ap-959	284	33	[	[	PUNCT
ap-959	284	34	,	,	PUNCT
ap-959	284	35	]	]	X
ap-959	284	36	(	(	PUNCT
ap-959	284	37	0	0	NUM
ap-959	284	38	)	)	PUNCT
ap-959	285	1	k	k	NOUN
ap-959	285	2	l	l	PUNCT
ap-959	286	1	k	k	X
ap-959	286	2	l	l	PUNCT
ap-959	287	1	k	k	X
ap-959	287	2	l	l	NOUN
ap-959	287	3	(	(	PUNCT
ap-959	287	4	,	,	PUNCT
ap-959	287	5	)	)	PUNCT
ap-959	287	6	(	(	PUNCT
ap-959	287	7	,	,	PUNCT
ap-959	287	8	)	)	PUNCT
ap-959	287	9	(	(	PUNCT
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ap-959	287	11	)	)	PUNCT
ap-959	287	12	�	�	PROPN
ap-959	287	13	�	�	PROPN
ap-959	287	14	�	�	PROPN
ap-959	287	15	1	1	NUM
ap-959	287	16	2	2	NUM
ap-959	287	17	21	21	NUM
ap-959	287	18	1	1	NUM
ap-959	287	19	�	�	PROPN
ap-959	287	20	�	�	PROPN
ap-959	287	21	�	�	PROPN
ap-959	287	22	c	c	PROPN
ap-959	287	23	[	[	PUNCT
ap-959	287	24	,	,	PUNCT
ap-959	287	25	]	]	X
ap-959	287	26	(	(	PUNCT
ap-959	287	27	0	0	NUM
ap-959	287	28	)	)	PUNCT
ap-959	287	29	k	k	NOUN
ap-959	288	1	l	l	NOUN
ap-959	288	2	f	f	X
ap-959	289	1	f	f	X
ap-959	289	2	(	(	PUNCT
ap-959	289	3	,	,	PUNCT
ap-959	289	4	)	)	PUNCT
ap-959	289	5	(	(	PUNCT
ap-959	289	6	(	(	PUNCT
ap-959	289	7	,	,	PUNCT
ap-959	289	8	)	)	PUNCT
ap-959	289	9	)	)	PUNCT
ap-959	290	1	(	(	PUNCT
ap-959	290	2	(	(	PUNCT
ap-959	290	3	,	,	PUNCT
ap-959	290	4	)	)	PUNCT
ap-959	290	5	)	)	PUNCT
ap-959	290	6	,	,	PUNCT
ap-959	290	7	�	�	PROPN
ap-959	290	8	1	1	NUM
ap-959	290	9	1	1	NUM
ap-959	290	10	2	2	NUM
ap-959	290	11	2	2	NUM
ap-959	290	12	11	11	NUM
ap-959	290	13	2	2	NUM
ap-959	290	14	�	�	PROPN
ap-959	290	15	�	�	PROPN
ap-959	290	16	�	�	PROPN
ap-959	290	17	�	�	PROPN
ap-959	290	18	so	so	ADV
ap-959	290	19	,	,	PUNCT
ap-959	290	20	there	there	PRON
ap-959	290	21	is	be	VERB
ap-959	290	22	anticommutativity	anticommutativity	NOUN
ap-959	290	23	up	up	ADP
ap-959	290	24	to	to	ADP
ap-959	290	25	the	the	DET
ap-959	290	26	“	"	PUNCT
ap-959	290	27	q	q	ADJ
ap-959	290	28	-	-	PUNCT
ap-959	290	29	exact	exact	ADJ
ap-959	290	30	2	2	NUM
ap-959	290	31	-	-	PUNCT
ap-959	290	32	form	form	NOUN
ap-959	290	33	”	"	PUNCT
ap-959	290	34	.	.	PUNCT
ap-959	291	1	again	again	ADV
ap-959	291	2	,	,	PUNCT
ap-959	291	3	“	"	PUNCT
ap-959	291	4	integrating	integrate	VERB
ap-959	291	5	over	over	ADP
ap-959	291	6	the	the	DET
ap-959	291	7	closed	closed	ADJ
ap-959	291	8	cycle	cycle	NOUN
ap-959	291	9	”	"	PUNCT
ap-959	291	10	(	(	PUNCT
ap-959	291	11	passing	pass	VERB
ap-959	291	12	to	to	ADP
ap-959	291	13	c	c	X
ap-959	291	14	(	(	PUNCT
ap-959	291	15	�	�	PROPN
ap-959	291	16	)	)	PUNCT
ap-959	291	17	one	one	NOUN
ap-959	291	18	obtains	obtain	VERB
ap-959	291	19	anticommutativity	anticommutativity	NOUN
ap-959	291	20	.	.	PUNCT
ap-959	292	1	let	let	VERB
ap-959	292	2	me	i	PRON
ap-959	292	3	finish	finish	VERB
ap-959	292	4	these	these	DET
ap-959	292	5	lecture	lecture	NOUN
ap-959	292	6	with	with	ADP
ap-959	292	7	some	some	DET
ap-959	292	8	general	general	ADJ
ap-959	292	9	remarks	remark	NOUN
ap-959	292	10	.	.	PUNCT
ap-959	293	1	the	the	DET
ap-959	293	2	construction	construction	NOUN
ap-959	293	3	of	of	ADP
ap-959	293	4	other	other	ADJ
ap-959	293	5	operators	operator	NOUN
ap-959	293	6	is	be	AUX
ap-959	293	7	not	not	PART
ap-959	293	8	very	very	ADV
ap-959	293	9	different	different	ADJ
ap-959	293	10	from	from	ADP
ap-959	293	11	c	c	PROPN
ap-959	293	12	,	,	PUNCT
ap-959	293	13	but	but	CCONJ
ap-959	293	14	for	for	ADP
ap-959	293	15	b	b	PROPN
ap-959	293	16	*	*	PUNCT
ap-959	293	17	and	and	CCONJ
ap-959	293	18	c	c	AUX
ap-959	293	19	*	*	NOUN
ap-959	293	20	some	some	DET
ap-959	293	21	additional	additional	ADJ
ap-959	293	22	work	work	NOUN
ap-959	293	23	has	have	VERB
ap-959	293	24	to	to	PART
ap-959	293	25	be	be	AUX
ap-959	293	26	done	do	VERB
ap-959	293	27	.	.	PUNCT
ap-959	294	1	the	the	DET
ap-959	294	2	commutation	commutation	NOUN
ap-959	294	3	relations	relation	NOUN
ap-959	294	4	are	be	AUX
ap-959	294	5	not	not	PART
ap-959	294	6	always	always	ADV
ap-959	294	7	easy	easy	ADJ
ap-959	294	8	to	to	PART
ap-959	294	9	prove	prove	VERB
ap-959	294	10	because	because	SCONJ
ap-959	294	11	the	the	DET
ap-959	294	12	r	r	NOUN
ap-959	294	13	-	-	PUNCT
ap-959	294	14	matrices	matrix	NOUN
ap-959	294	15	are	be	AUX
ap-959	294	16	not	not	PART
ap-959	294	17	always	always	ADV
ap-959	294	18	applicable	applicable	ADJ
ap-959	294	19	.	.	PUNCT
ap-959	295	1	i	i	PRON
ap-959	295	2	did	do	AUX
ap-959	295	3	not	not	PART
ap-959	295	4	say	say	VERB
ap-959	295	5	anything	anything	PRON
ap-959	295	6	about	about	ADP
ap-959	295	7	the	the	DET
ap-959	295	8	derivation	derivation	NOUN
ap-959	295	9	of	of	ADP
ap-959	295	10	our	our	PRON
ap-959	295	11	formula	formula	NOUN
ap-959	295	12	for	for	ADP
ap-959	295	13	the	the	DET
ap-959	295	14	vacuum	vacuum	NOUN
ap-959	295	15	expectation	expectation	NOUN
ap-959	295	16	values	value	NOUN
ap-959	295	17	for	for	ADP
ap-959	295	18	generic	generic	PROPN
ap-959	295	19	q.	q.	PROPN
ap-959	295	20	actually	actually	ADV
ap-959	295	21	,	,	PUNCT
ap-959	295	22	it	it	PRON
ap-959	295	23	was	be	AUX
ap-959	295	24	obtained	obtain	VERB
ap-959	295	25	as	as	ADP
ap-959	295	26	a	a	DET
ap-959	295	27	result	result	NOUN
ap-959	295	28	of	of	ADP
ap-959	295	29	a	a	DET
ap-959	295	30	long	long	ADJ
ap-959	295	31	transformation	transformation	NOUN
ap-959	295	32	of	of	ADP
ap-959	295	33	the	the	DET
ap-959	295	34	integral	integral	ADJ
ap-959	295	35	formula	formula	NOUN
ap-959	295	36	by	by	ADP
ap-959	295	37	jimbo	jimbo	PROPN
ap-959	295	38	and	and	CCONJ
ap-959	295	39	miwa	miwa	PROPN
ap-959	296	1	[	[	X
ap-959	296	2	12	12	NUM
ap-959	296	3	]	]	PUNCT
ap-959	296	4	.	.	PUNCT
ap-959	297	1	however	however	ADV
ap-959	297	2	,	,	PUNCT
ap-959	297	3	i	i	PRON
ap-959	297	4	find	find	VERB
ap-959	297	5	quite	quite	ADV
ap-959	297	6	unsatisfactory	unsatisfactory	ADJ
ap-959	297	7	that	that	SCONJ
ap-959	297	8	we	we	PRON
ap-959	297	9	have	have	VERB
ap-959	297	10	such	such	DET
ap-959	297	11	a	a	DET
ap-959	297	12	complicated	complicated	ADJ
ap-959	297	13	derivation	derivation	NOUN
ap-959	297	14	of	of	ADP
ap-959	297	15	such	such	DET
ap-959	297	16	a	a	DET
ap-959	297	17	simple	simple	ADJ
ap-959	297	18	result	result	NOUN
ap-959	297	19	.	.	PUNCT
ap-959	298	1	i	i	PRON
ap-959	298	2	hope	hope	VERB
ap-959	298	3	to	to	PART
ap-959	298	4	find	find	VERB
ap-959	298	5	a	a	DET
ap-959	298	6	more	more	ADV
ap-959	298	7	direct	direct	ADJ
ap-959	298	8	proof	proof	NOUN
ap-959	298	9	.	.	PUNCT
ap-959	299	1	references	reference	NOUN
ap-959	299	2	[	[	X
ap-959	299	3	1	1	NUM
ap-959	299	4	]	]	PUNCT
ap-959	299	5	boos	boo	NOUN
ap-959	299	6	,	,	PUNCT
ap-959	299	7	h.	h.	PROPN
ap-959	299	8	,	,	PUNCT
ap-959	299	9	jimbo	jimbo	PROPN
ap-959	299	10	,	,	PUNCT
ap-959	299	11	m.	m.	NOUN
ap-959	299	12	,	,	PUNCT
ap-959	299	13	miwa	miwa	PROPN
ap-959	299	14	,	,	PUNCT
ap-959	299	15	t.	t.	PROPN
ap-959	299	16	,	,	PUNCT
ap-959	299	17	smirnov	smirnov	PROPN
ap-959	299	18	,	,	PUNCT
ap-959	299	19	f.	f.	PROPN
ap-959	299	20	,	,	PUNCT
ap-959	299	21	takeyama	takeyama	PROPN
ap-959	299	22	,	,	PUNCT
ap-959	299	23	y.	y.	NOUN
ap-959	299	24	:	:	PUNCT
ap-959	299	25	a	a	DET
ap-959	299	26	recursion	recursion	NOUN
ap-959	299	27	formula	formula	NOUN
ap-959	299	28	for	for	ADP
ap-959	299	29	the	the	DET
ap-959	299	30	correlation	correlation	NOUN
ap-959	299	31	functions	function	NOUN
ap-959	299	32	of	of	ADP
ap-959	299	33	an	an	DET
ap-959	299	34	inhomogeneous	inhomogeneous	ADJ
ap-959	299	35	xxx	xxx	NOUN
ap-959	299	36	model	model	NOUN
ap-959	299	37	.	.	PUNCT
ap-959	300	1	algebra	algebra	NOUN
ap-959	300	2	and	and	CCONJ
ap-959	300	3	analysis	analysis	NOUN
ap-959	300	4	,	,	PUNCT
ap-959	300	5	(	(	PUNCT
ap-959	300	6	2005	2005	NUM
ap-959	300	7	)	)	PUNCT
ap-959	300	8	,	,	PUNCT
ap-959	300	9	p.	p.	NOUN
ap-959	300	10	115–159	115–159	NUM
ap-959	300	11	.	.	PUNCT
ap-959	301	1	[	[	X
ap-959	301	2	2	2	NUM
ap-959	301	3	]	]	PUNCT
ap-959	301	4	boos	boo	NOUN
ap-959	301	5	,	,	PUNCT
ap-959	301	6	h.	h.	PROPN
ap-959	301	7	,	,	PUNCT
ap-959	301	8	jimbo	jimbo	PROPN
ap-959	301	9	,	,	PUNCT
ap-959	301	10	m.	m.	NOUN
ap-959	301	11	,	,	PUNCT
ap-959	301	12	miwa	miwa	PROPN
ap-959	301	13	,	,	PUNCT
ap-959	301	14	t.	t.	PROPN
ap-959	301	15	,	,	PUNCT
ap-959	301	16	smirnov	smirnov	PROPN
ap-959	301	17	,	,	PUNCT
ap-959	301	18	f.	f.	PROPN
ap-959	301	19	,	,	PUNCT
ap-959	301	20	takeyama	takeyama	PROPN
ap-959	301	21	,	,	PUNCT
ap-959	301	22	y.	y.	PROPN
ap-959	301	23	:	:	PUNCT
ap-959	301	24	reduced	reduce	VERB
ap-959	301	25	qkz	qkz	ADJ
ap-959	301	26	equation	equation	NOUN
ap-959	301	27	and	and	CCONJ
ap-959	301	28	correlation	correlation	NOUN
ap-959	301	29	functions	function	NOUN
ap-959	301	30	of	of	ADP
ap-959	301	31	the	the	DET
ap-959	301	32	xxz	xxz	PROPN
ap-959	301	33	model	model	NOUN
ap-959	301	34	.	.	PUNCT
ap-959	302	1	commun	commun	PROPN
ap-959	302	2	.	.	PUNCT
ap-959	303	1	math	math	NOUN
ap-959	303	2	.	.	PUNCT
ap-959	304	1	phys	phy	NOUN
ap-959	304	2	.	.	PUNCT
ap-959	305	1	(	(	PUNCT
ap-959	305	2	2006	2006	NUM
ap-959	305	3	)	)	PUNCT
ap-959	305	4	,	,	PUNCT
ap-959	305	5	p.	p.	NOUN
ap-959	305	6	245–276	245–276	NUM
ap-959	305	7	.	.	PUNCT
ap-959	306	1	[	[	X
ap-959	306	2	3	3	NUM
ap-959	306	3	]	]	PUNCT
ap-959	306	4	boos	boo	NOUN
ap-959	306	5	,	,	PUNCT
ap-959	306	6	h.	h.	PROPN
ap-959	306	7	,	,	PUNCT
ap-959	306	8	jimbo	jimbo	PROPN
ap-959	306	9	,	,	PUNCT
ap-959	306	10	m.	m.	NOUN
ap-959	306	11	,	,	PUNCT
ap-959	306	12	miwa	miwa	PROPN
ap-959	306	13	,	,	PUNCT
ap-959	306	14	t.	t.	PROPN
ap-959	306	15	,	,	PUNCT
ap-959	306	16	smirnov	smirnov	PROPN
ap-959	306	17	,	,	PUNCT
ap-959	306	18	f.	f.	PROPN
ap-959	306	19	,	,	PUNCT
ap-959	306	20	takeyama	takeyama	PROPN
ap-959	306	21	,	,	PUNCT
ap-959	306	22	y.	y.	NOUN
ap-959	306	23	:	:	PUNCT
ap-959	306	24	traces	trace	NOUN
ap-959	306	25	on	on	ADP
ap-959	306	26	the	the	DET
ap-959	306	27	sklyanin	sklyanin	PROPN
ap-959	306	28	algebra	algebra	NOUN
ap-959	306	29	and	and	CCONJ
ap-959	306	30	correlation	correlation	NOUN
ap-959	306	31	functions	function	NOUN
ap-959	306	32	of	of	ADP
ap-959	306	33	the	the	DET
ap-959	306	34	eight	eight	NUM
ap-959	306	35	-	-	PUNCT
ap-959	306	36	vertex	vertex	NOUN
ap-959	306	37	model	model	NOUN
ap-959	306	38	.	.	PUNCT
ap-959	307	1	j.	j.	PROPN
ap-959	307	2	phys	phys	PROPN
ap-959	307	3	.	.	PUNCT
ap-959	308	1	a	a	DET
ap-959	308	2	:	:	PUNCT
ap-959	308	3	math	math	NOUN
ap-959	308	4	.	.	PUNCT
ap-959	309	1	gen	gen	PROPN
ap-959	309	2	.	.	PROPN
ap-959	309	3	(	(	PUNCT
ap-959	309	4	2005	2005	NUM
ap-959	309	5	)	)	PUNCT
ap-959	309	6	,	,	PUNCT
ap-959	309	7	p.	p.	NOUN
ap-959	309	8	7629–7659	7629–7659	NUM
ap-959	309	9	.	.	PUNCT
ap-959	310	1	[	[	X
ap-959	310	2	4	4	NUM
ap-959	310	3	]	]	PUNCT
ap-959	310	4	boos	boo	NOUN
ap-959	310	5	,	,	PUNCT
ap-959	310	6	h.	h.	PROPN
ap-959	310	7	,	,	PUNCT
ap-959	310	8	jimbo	jimbo	PROPN
ap-959	310	9	,	,	PUNCT
ap-959	310	10	m.	m.	NOUN
ap-959	310	11	,	,	PUNCT
ap-959	310	12	miwa	miwa	PROPN
ap-959	310	13	,	,	PUNCT
ap-959	310	14	t.	t.	PROPN
ap-959	310	15	,	,	PUNCT
ap-959	310	16	smirnov	smirnov	PROPN
ap-959	310	17	,	,	PUNCT
ap-959	310	18	f.	f.	PROPN
ap-959	310	19	,	,	PUNCT
ap-959	310	20	takeyama	takeyama	PROPN
ap-959	310	21	,	,	PUNCT
ap-959	310	22	y.	y.	NOUN
ap-959	310	23	:	:	PUNCT
ap-959	310	24	density	density	NOUN
ap-959	310	25	matrix	matrix	NOUN
ap-959	310	26	of	of	ADP
ap-959	310	27	a	a	DET
ap-959	310	28	finite	finite	ADJ
ap-959	310	29	sub	sub	NOUN
ap-959	310	30	-	-	NOUN
ap-959	310	31	chain	chain	NOUN
ap-959	310	32	of	of	ADP
ap-959	310	33	the	the	DET
ap-959	310	34	heisenberg	heisenberg	PROPN
ap-959	310	35	anti	anti	PROPN
ap-959	310	36	-	-	NOUN
ap-959	310	37	ferromagnet	ferromagnet	ADJ
ap-959	310	38	,	,	PUNCT
ap-959	310	39	lett	lett	PROPN
ap-959	310	40	.	.	PUNCT
ap-959	310	41	math	math	NOUN
ap-959	310	42	.	.	PUNCT
ap-959	311	1	phys	phy	NOUN
ap-959	311	2	.	.	PUNCT
ap-959	312	1	(	(	PUNCT
ap-959	312	2	2006	2006	NUM
ap-959	312	3	)	)	PUNCT
ap-959	312	4	,	,	PUNCT
ap-959	312	5	p.	p.	NOUN
ap-959	312	6	201–208	201–208	NUM
ap-959	312	7	.	.	PUNCT
ap-959	313	1	[	[	X
ap-959	313	2	5	5	NUM
ap-959	313	3	]	]	PUNCT
ap-959	313	4	boos	boo	NOUN
ap-959	313	5	,	,	PUNCT
ap-959	313	6	h.	h.	PROPN
ap-959	313	7	,	,	PUNCT
ap-959	313	8	jimbo	jimbo	PROPN
ap-959	313	9	,	,	PUNCT
ap-959	313	10	m.	m.	NOUN
ap-959	313	11	,	,	PUNCT
ap-959	313	12	miwa	miwa	PROPN
ap-959	313	13	,	,	PUNCT
ap-959	313	14	t.	t.	PROPN
ap-959	313	15	,	,	PUNCT
ap-959	313	16	smirnov	smirnov	PROPN
ap-959	313	17	,	,	PUNCT
ap-959	313	18	f.	f.	PROPN
ap-959	313	19	,	,	PUNCT
ap-959	313	20	takeyama	takeyama	PROPN
ap-959	313	21	,	,	PUNCT
ap-959	313	22	y.	y.	NOUN
ap-959	313	23	:	:	PUNCT
ap-959	313	24	algebraic	algebraic	ADJ
ap-959	313	25	representation	representation	NOUN
ap-959	313	26	of	of	ADP
ap-959	313	27	correlation	correlation	NOUN
ap-959	313	28	functions	function	NOUN
ap-959	313	29	in	in	ADP
ap-959	313	30	integrable	integrable	ADJ
ap-959	313	31	spin	spin	NOUN
ap-959	313	32	chains	chain	NOUN
ap-959	313	33	.	.	PUNCT
ap-959	314	1	ann	ann	PROPN
ap-959	314	2	.	.	PUNCT
ap-959	315	1	henri	henri	PROPN
ap-959	315	2	poincaré	poincaré	PROPN
ap-959	315	3	(	(	PUNCT
ap-959	315	4	2006	2006	NUM
ap-959	315	5	)	)	PUNCT
ap-959	315	6	,	,	PUNCT
ap-959	315	7	p.	p.	NOUN
ap-959	315	8	1395–1428	1395–1428	NUM
ap-959	315	9	.	.	PUNCT
ap-959	316	1	[	[	X
ap-959	316	2	6	6	NUM
ap-959	316	3	]	]	PUNCT
ap-959	316	4	boos	boo	NOUN
ap-959	316	5	,	,	PUNCT
ap-959	316	6	h.	h.	PROPN
ap-959	316	7	,	,	PUNCT
ap-959	316	8	jimbo	jimbo	PROPN
ap-959	316	9	,	,	PUNCT
ap-959	316	10	m.	m.	NOUN
ap-959	316	11	,	,	PUNCT
ap-959	316	12	miwa	miwa	PROPN
ap-959	316	13	,	,	PUNCT
ap-959	316	14	t.	t.	PROPN
ap-959	316	15	,	,	PUNCT
ap-959	316	16	smirnov	smirnov	PROPN
ap-959	316	17	,	,	PUNCT
ap-959	316	18	f.	f.	PROPN
ap-959	316	19	,	,	PUNCT
ap-959	316	20	takeyama	takeyama	PROPN
ap-959	316	21	,	,	PUNCT
ap-959	316	22	y.	y.	NOUN
ap-959	316	23	:	:	PUNCT
ap-959	316	24	hidden	hide	VERB
ap-959	316	25	grassmann	grassmann	NOUN
ap-959	316	26	structure	structure	NOUN
ap-959	316	27	in	in	ADP
ap-959	316	28	the	the	DET
ap-959	316	29	xxz	xxz	PROPN
ap-959	316	30	model	model	NOUN
ap-959	316	31	.	.	PUNCT
ap-959	317	1	commun	commun	PROPN
ap-959	317	2	.	.	PUNCT
ap-959	318	1	math	math	NOUN
ap-959	318	2	.	.	PUNCT
ap-959	319	1	phys	phy	NOUN
ap-959	319	2	.	.	PUNCT
ap-959	319	3	,	,	PUNCT
ap-959	319	4	(	(	PUNCT
ap-959	319	5	2007	2007	NUM
ap-959	319	6	)	)	PUNCT
ap-959	319	7	,	,	PUNCT
ap-959	320	1	p.	p.	NOUN
ap-959	320	2	263–281	263–281	NUM
ap-959	320	3	.	.	PUNCT
ap-959	321	1	[	[	X
ap-959	321	2	7	7	NUM
ap-959	321	3	]	]	PUNCT
ap-959	321	4	boos	boo	NOUN
ap-959	321	5	,	,	PUNCT
ap-959	321	6	h.	h.	PROPN
ap-959	321	7	,	,	PUNCT
ap-959	321	8	jimbo	jimbo	PROPN
ap-959	321	9	,	,	PUNCT
ap-959	321	10	m.	m.	NOUN
ap-959	321	11	,	,	PUNCT
ap-959	321	12	miwa	miwa	PROPN
ap-959	321	13	,	,	PUNCT
ap-959	321	14	t.	t.	PROPN
ap-959	321	15	,	,	PUNCT
ap-959	321	16	smirnov	smirnov	PROPN
ap-959	321	17	,	,	PUNCT
ap-959	321	18	f.	f.	PROPN
ap-959	321	19	,	,	PUNCT
ap-959	321	20	takeyama	takeyama	PROPN
ap-959	321	21	,	,	PUNCT
ap-959	321	22	y.	y.	NOUN
ap-959	321	23	:	:	PUNCT
ap-959	321	24	fermionic	fermionic	NOUN
ap-959	321	25	basis	basis	NOUN
ap-959	321	26	for	for	ADP
ap-959	321	27	space	space	NOUN
ap-959	321	28	of	of	ADP
ap-959	321	29	operators	operator	NOUN
ap-959	321	30	in	in	ADP
ap-959	321	31	the	the	DET
ap-959	321	32	xxz	xxz	PROPN
ap-959	321	33	model	model	NOUN
ap-959	321	34	.	.	PUNCT
ap-959	322	1	hep	hep	NOUN
ap-959	322	2	-	-	PUNCT
ap-959	322	3	th/0702086	th/0702086	ADJ
ap-959	322	4	[	[	X
ap-959	322	5	8	8	NUM
ap-959	322	6	]	]	PUNCT
ap-959	322	7	boos	boo	NOUN
ap-959	322	8	,	,	PUNCT
ap-959	322	9	h.	h.	PROPN
ap-959	322	10	,	,	PUNCT
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ap-959	322	12	,	,	PUNCT
ap-959	322	13	m.	m.	NOUN
ap-959	322	14	,	,	PUNCT
ap-959	322	15	miwa	miwa	PROPN
ap-959	322	16	,	,	PUNCT
ap-959	322	17	t.	t.	PROPN
ap-959	322	18	,	,	PUNCT
ap-959	322	19	smirnov	smirnov	PROPN
ap-959	322	20	,	,	PUNCT
ap-959	322	21	f.	f.	PROPN
ap-959	322	22	,	,	PUNCT
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ap-959	322	24	,	,	PUNCT
ap-959	322	25	y.	y.	NOUN
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ap-959	322	27	hidden	hide	VERB
ap-959	322	28	grassmann	grassmann	NOUN
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ap-959	322	30	in	in	ADP
ap-959	322	31	the	the	DET
ap-959	322	32	xxz	xxz	PROPN
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ap-959	322	35	.	.	PUNCT
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ap-959	323	3	.	.	PUNCT
ap-959	324	1	in	in	ADP
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ap-959	324	3	.	.	PUNCT
ap-959	325	1	[	[	X
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ap-959	325	3	]	]	X
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ap-959	325	9	,	,	PUNCT
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ap-959	325	11	,	,	PUNCT
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ap-959	325	13	,	,	PUNCT
ap-959	325	14	a.	a.	NOUN
ap-959	325	15	:	:	PUNCT
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ap-959	325	17	structure	structure	NOUN
ap-959	325	18	of	of	ADP
ap-959	325	19	conformal	conformal	ADJ
ap-959	325	20	field	field	NOUN
ap-959	325	21	theory	theory	NOUN
ap-959	325	22	,	,	PUNCT
ap-959	325	23	quantum	quantum	ADJ
ap-959	325	24	kdv	kdv	NOUN
ap-959	325	25	theory	theory	NOUN
ap-959	325	26	and	and	CCONJ
ap-959	325	27	thermodynamic	thermodynamic	ADJ
ap-959	325	28	bethe	bethe	PROPN
ap-959	325	29	ansatz	ansatz	NOUN
ap-959	325	30	,	,	PUNCT
ap-959	325	31	commun	commun	PROPN
ap-959	325	32	.	.	PUNCT
ap-959	325	33	math	math	NOUN
ap-959	325	34	.	.	PUNCT
ap-959	326	1	phys	phy	NOUN
ap-959	326	2	.	.	PUNCT
ap-959	326	3	,	,	PUNCT
ap-959	326	4	(	(	PUNCT
ap-959	326	5	1996	1996	NUM
ap-959	326	6	)	)	PUNCT
ap-959	326	7	,	,	PUNCT
ap-959	327	1	p.	p.	NOUN
ap-959	327	2	381–398	381–398	NUM
ap-959	327	3	.	.	PUNCT
ap-959	328	1	[	[	X
ap-959	328	2	10	10	NUM
ap-959	328	3	]	]	X
ap-959	328	4	bazhanov	bazhanov	PROPN
ap-959	328	5	,	,	PUNCT
ap-959	328	6	v.	v.	NOUN
ap-959	328	7	,	,	PUNCT
ap-959	328	8	lukyanov	lukyanov	PROPN
ap-959	328	9	,	,	PUNCT
ap-959	328	10	s.	s.	PROPN
ap-959	328	11	,	,	PUNCT
ap-959	328	12	zamolodchikov	zamolodchikov	PROPN
ap-959	328	13	,	,	PUNCT
ap-959	328	14	a.	a.	NOUN
ap-959	328	15	:	:	PUNCT
ap-959	328	16	integrable	integrable	ADJ
ap-959	328	17	structure	structure	NOUN
ap-959	328	18	of	of	ADP
ap-959	328	19	conformal	conformal	ADJ
ap-959	328	20	field	field	NOUN
ap-959	328	21	theory	theory	PROPN
ap-959	328	22	ii	ii	PROPN
ap-959	328	23	.	.	PUNCT
ap-959	329	1	q	q	NOUN
ap-959	329	2	-	-	PUNCT
ap-959	329	3	operator	operator	NOUN
ap-959	329	4	and	and	CCONJ
ap-959	329	5	ddv	ddv	NOUN
ap-959	329	6	equation	equation	NOUN
ap-959	329	7	,	,	PUNCT
ap-959	329	8	commun	commun	PROPN
ap-959	329	9	.	.	PUNCT
ap-959	329	10	math	math	NOUN
ap-959	329	11	.	.	PUNCT
ap-959	330	1	phys	phy	NOUN
ap-959	330	2	.	.	PUNCT
ap-959	331	1	(	(	PUNCT
ap-959	331	2	1997	1997	NUM
ap-959	331	3	)	)	PUNCT
ap-959	331	4	,	,	PUNCT
ap-959	332	1	p.	p.	NOUN
ap-959	332	2	247–278	247–278	NUM
ap-959	332	3	.	.	PUNCT
ap-959	333	1	[	[	X
ap-959	333	2	11	11	NUM
ap-959	333	3	]	]	X
ap-959	333	4	bazhanov	bazhanov	PROPN
ap-959	333	5	,	,	PUNCT
ap-959	333	6	v.	v.	NOUN
ap-959	333	7	,	,	PUNCT
ap-959	333	8	lukyanov	lukyanov	PROPN
ap-959	333	9	,	,	PUNCT
ap-959	333	10	s.	s.	PROPN
ap-959	333	11	,	,	PUNCT
ap-959	333	12	zamolodchikov	zamolodchikov	PROPN
ap-959	333	13	,	,	PUNCT
ap-959	333	14	a.	a.	NOUN
ap-959	333	15	:	:	PUNCT
ap-959	333	16	integrable	integrable	ADJ
ap-959	333	17	structure	structure	NOUN
ap-959	333	18	of	of	ADP
ap-959	333	19	conformal	conformal	ADJ
ap-959	333	20	field	field	NOUN
ap-959	333	21	theory	theory	NOUN
ap-959	333	22	iii	iii	PROPN
ap-959	333	23	.	.	PUNCT
ap-959	334	1	the	the	DET
ap-959	334	2	yang	yang	PROPN
ap-959	334	3	-	-	PUNCT
ap-959	334	4	baxter	baxter	PROPN
ap-959	334	5	relation	relation	PROPN
ap-959	334	6	,	,	PUNCT
ap-959	334	7	commun	commun	PROPN
ap-959	334	8	.	.	PUNCT
ap-959	334	9	math	math	NOUN
ap-959	334	10	.	.	PUNCT
ap-959	335	1	phys	phy	NOUN
ap-959	335	2	.	.	PUNCT
ap-959	336	1	(	(	PUNCT
ap-959	336	2	1999	1999	NUM
ap-959	336	3	)	)	PUNCT
ap-959	336	4	,	,	PUNCT
ap-959	337	1	p.	p.	NOUN
ap-959	337	2	297–324	297–324	NUM
ap-959	337	3	.	.	PUNCT
ap-959	338	1	[	[	X
ap-959	338	2	12	12	NUM
ap-959	338	3	]	]	X
ap-959	338	4	jimbo	jimbo	PROPN
ap-959	338	5	,	,	PUNCT
ap-959	338	6	m.	m.	NOUN
ap-959	338	7	,	,	PUNCT
ap-959	338	8	miwa	miwa	PROPN
ap-959	338	9	,	,	PUNCT
ap-959	338	10	t.	t.	PROPN
ap-959	338	11	:	:	PUNCT
ap-959	338	12	algebraic	algebraic	ADJ
ap-959	338	13	analysis	analysis	NOUN
ap-959	338	14	of	of	ADP
ap-959	338	15	solvable	solvable	ADJ
ap-959	338	16	lattice	lattice	NOUN
ap-959	338	17	models	model	NOUN
ap-959	338	18	,	,	PUNCT
ap-959	338	19	reg	reg	PROPN
ap-959	338	20	.	.	PUNCT
ap-959	338	21	conf	conf	PROPN
ap-959	338	22	.	.	PUNCT
ap-959	339	1	ser	ser	PROPN
ap-959	339	2	.	.	PUNCT
ap-959	340	1	in	in	ADP
ap-959	340	2	math	math	NOUN
ap-959	340	3	.	.	PUNCT
ap-959	340	4	,	,	PUNCT
ap-959	340	5	ams	ams	PROPN
ap-959	340	6	,	,	PUNCT
ap-959	340	7	.	.	PUNCT
ap-959	341	1	vol	vol	NOUN
ap-959	341	2	.	.	PROPN
ap-959	341	3	85	85	NUM
ap-959	341	4	(	(	PUNCT
ap-959	341	5	1995	1995	NUM
ap-959	341	6	)	)	PUNCT
ap-959	341	7	.	.	PUNCT
ap-959	342	1	fedor	fedor	PROPN
ap-959	342	2	smirnov	smirnov	PROPN
ap-959	342	3	e	e	NOUN
ap-959	342	4	-	-	NOUN
ap-959	342	5	mail	mail	NOUN
ap-959	342	6	:	:	PUNCT
ap-959	342	7	smirnov@lpthe.jussieu.fr	smirnov@lpthe.jussieu.fr	PROPN
ap-959	342	8	fs	fs	X
ap-959	342	9	(	(	PUNCT
ap-959	342	10	membre	membre	PROPN
ap-959	342	11	du	du	PROPN
ap-959	342	12	cnrs	cnrs	PROPN
ap-959	342	13	):	):	PUNCT
ap-959	342	14	laboratoire	laboratoire	PROPN
ap-959	342	15	de	de	X
ap-959	342	16	physique	physique	PROPN
ap-959	342	17	théorique	théorique	PROPN
ap-959	342	18	et	et	PROPN
ap-959	342	19	hautes	haute	VERB
ap-959	342	20	energies	energy	NOUN
ap-959	342	21	,	,	PUNCT
ap-959	342	22	université	université	PROPN
ap-959	342	23	pierre	pierre	PROPN
ap-959	342	24	et	et	PROPN
ap-959	342	25	marie	marie	PROPN
ap-959	342	26	curie	curie	PROPN
ap-959	342	27	,	,	PUNCT
ap-959	342	28	tour	tour	VERB
ap-959	342	29	16	16	NUM
ap-959	342	30	1	1	NUM
ap-959	342	31	étage	étage	NOUN
ap-959	342	32	4	4	NUM
ap-959	342	33	place	place	NOUN
ap-959	342	34	jussieu	jussieu	PROPN
ap-959	342	35	75252	75252	NUM
ap-959	343	1	paris	paris	PROPN
ap-959	343	2	cedex	cedex	PROPN
ap-959	343	3	05	05	PROPN
ap-959	343	4	,	,	PUNCT
ap-959	343	5	france	france	PROPN
ap-959	343	6	©	©	PROPN
ap-959	343	7	czech	czech	PROPN
ap-959	343	8	technical	technical	PROPN
ap-959	343	9	university	university	PROPN
ap-959	343	10	publishing	publishing	NOUN
ap-959	343	11	house	house	NOUN
ap-959	343	12	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-959	343	13	35	35	NUM
ap-959	343	14	acta	acta	PROPN
ap-959	343	15	polytechnica	polytechnica	PROPN
ap-959	343	16	vol	vol	NOUN
ap-959	343	17	.	.	PUNCT
ap-959	344	1	48	48	NUM
ap-959	344	2	no	no	NOUN
ap-959	344	3	.	.	PUNCT
ap-959	345	1	2/2008	2/2008	NUM
ap-959	345	2	<	<	X
ap-959	345	3	<	<	X
ap-959	345	4	/ascii85encodepages	/ascii85encodepage	NOUN
ap-959	345	5	false	false	ADJ
ap-959	345	6	/allowtransparency	/allowtransparency	NOUN
ap-959	345	7	false	false	ADJ
ap-959	345	8	/autopositionepsfiles	/autopositionepsfile	NOUN
ap-959	345	9	true	true	ADJ
ap-959	345	10	/autorotatepages	/autorotatepage	NOUN
ap-959	345	11	/none	/none	PUNCT
ap-959	345	12	/binding	/binding	PUNCT
ap-959	346	1	/left	/left	ADJ
ap-959	347	1	/calgrayprofile	/calgrayprofile	VERB
ap-959	347	2	(	(	PUNCT
ap-959	347	3	dot	dot	NOUN
ap-959	347	4	gain	gain	NOUN
ap-959	347	5	20	20	NUM
ap-959	347	6	%	%	NOUN
ap-959	347	7	)	)	PUNCT
ap-959	347	8	/calrgbprofile	/calrgbprofile	PUNCT
ap-959	348	1	(	(	PUNCT
ap-959	348	2	srgb	srgb	PROPN
ap-959	348	3	iec61966	iec61966	NOUN
ap-959	348	4	-	-	PUNCT
ap-959	348	5	2.1	2.1	NUM
ap-959	348	6	)	)	PUNCT
ap-959	348	7	/calcmykprofile	/calcmykprofile	PUNCT
ap-959	349	1	(	(	PUNCT
ap-959	349	2	u.s	u.s	PROPN
ap-959	349	3	.	.	PROPN
ap-959	349	4	web	web	NOUN
ap-959	349	5	coated	coat	VERB
ap-959	349	6	\050swop\051	\050swop\051	ADJ
ap-959	349	7	v2	v2	NOUN
ap-959	349	8	)	)	PUNCT
ap-959	349	9	/srgbprofile	/srgbprofile	PUNCT
ap-959	349	10	(	(	PUNCT
ap-959	349	11	srgb	srgb	PROPN
ap-959	349	12	iec61966	iec61966	NOUN
ap-959	349	13	-	-	PUNCT
ap-959	349	14	2.1	2.1	NUM
ap-959	349	15	)	)	PUNCT
ap-959	349	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
ap-959	350	1	/error	/error	INTJ
ap-959	350	2	/compatibilitylevel	/compatibilitylevel	NOUN
ap-959	351	1	1.4	1.4	NUM
ap-959	351	2	/compressobjects	/compressobject	NOUN
ap-959	351	3	/tags	/tag	VERB
ap-959	351	4	/compresspages	/compresspage	NOUN
ap-959	351	5	true	true	ADJ
ap-959	351	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
ap-959	351	7	true	true	ADJ
ap-959	351	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
ap-959	351	9	true	true	ADJ
ap-959	351	10	/createjobticket	/createjobticket	NOUN
ap-959	351	11	false	false	ADJ
ap-959	351	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
ap-959	352	1	/default	/default	PUNCT
ap-959	352	2	/detectblends	/detectblend	NOUN
ap-959	353	1	false	false	ADJ
ap-959	353	2	/detectcurves	/detectcurve	NOUN
ap-959	353	3	0.0000	0.0000	NUM
ap-959	353	4	/colorconversionstrategy	/colorconversionstrategy	NOUN
ap-959	353	5	/cmyk	/cmyk	PUNCT
ap-959	353	6	/dothumbnails	/dothumbnail	VERB
ap-959	354	1	false	false	ADJ
ap-959	354	2	/embedallfonts	/embedallfont	NOUN
ap-959	354	3	true	true	ADJ
ap-959	354	4	/embedopentype	/embedopentype	PUNCT
ap-959	354	5	false	false	ADJ
ap-959	354	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
ap-959	354	7	true	true	ADJ
ap-959	354	8	/embedjoboptions	/embedjoboption	NOUN
ap-959	354	9	true	true	ADJ
ap-959	354	10	/dscreportinglevel	/dscreportinglevel	NOUN
ap-959	354	11	0	0	NUM
ap-959	354	12	/emitdscwarnings	/emitdscwarning	NOUN
ap-959	354	13	false	false	ADJ
ap-959	354	14	/endpage	/endpage	NOUN
ap-959	354	15	-1	-1	NOUN
ap-959	354	16	/imagememory	/imagememory	NUM
ap-959	354	17	1048576	1048576	NUM
ap-959	354	18	/lockdistillerparams	/lockdistillerparams	NOUN
ap-959	354	19	false	false	ADJ
ap-959	354	20	/maxsubsetpct	/maxsubsetpct	ADJ
ap-959	354	21	100	100	NUM
ap-959	354	22	/optimize	/optimize	NOUN
ap-959	354	23	true	true	ADJ
ap-959	354	24	/opm	/opm	NOUN
ap-959	354	25	1	1	NUM
ap-959	354	26	/parsedsccomments	/parsedsccomment	NOUN
ap-959	354	27	true	true	ADJ
ap-959	354	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
ap-959	354	29	true	true	ADJ
ap-959	354	30	/preservecopypage	/preservecopypage	NOUN
ap-959	354	31	true	true	ADJ
ap-959	354	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
ap-959	354	33	true	true	ADJ
ap-959	354	34	/preserveepsinfo	/preserveepsinfo	NOUN
ap-959	354	35	true	true	ADJ
ap-959	354	36	/preserveflatness	/preserveflatness	NOUN
ap-959	354	37	true	true	ADJ
ap-959	354	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
ap-959	354	39	false	false	ADJ
ap-959	354	40	/preserveopicomments	/preserveopicomment	NOUN
ap-959	354	41	true	true	ADJ
ap-959	354	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
ap-959	354	43	true	true	ADJ
ap-959	354	44	/startpage	/startpage	NOUN
ap-959	354	45	1	1	NUM
ap-959	354	46	/subsetfonts	/subsetfont	NOUN
ap-959	354	47	true	true	ADJ
ap-959	354	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
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ap-959	355	2	/useprologue	/useprologue	NOUN
ap-959	355	3	false	false	ADJ
ap-959	355	4	/colorsettingsfile	/colorsettingsfile	NOUN
ap-959	355	5	(	(	PUNCT
ap-959	355	6	)	)	PUNCT
ap-959	355	7	/alwaysembed	/alwaysembe	VERB
ap-959	355	8	[	[	PUNCT
ap-959	355	9	true	true	ADJ
ap-959	355	10	]	]	PUNCT
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ap-959	356	1	[	[	PUNCT
ap-959	356	2	true	true	ADJ
ap-959	356	3	]	]	PUNCT
ap-959	356	4	/antialiascolorimages	/antialiascolorimages	X
ap-959	356	5	false	false	ADJ
ap-959	356	6	/cropcolorimages	/cropcolorimages	PUNCT
ap-959	356	7	true	true	ADJ
ap-959	356	8	/colorimageminresolution	/colorimageminresolution	PUNCT
ap-959	356	9	300	300	NUM
ap-959	356	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
ap-959	356	11	/ok	/ok	ADJ
ap-959	357	1	/downsamplecolorimages	/downsamplecolorimage	VERB
ap-959	358	1	true	true	ADJ
ap-959	358	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
ap-959	358	3	/bicubic	/bicubic	NOUN
ap-959	358	4	/colorimageresolution	/colorimageresolution	NOUN
ap-959	359	1	300	300	NUM
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ap-959	359	3	-1	-1	INTJ
ap-959	359	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
ap-959	359	5	1	1	NUM
ap-959	359	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
ap-959	359	7	1.50000	1.50000	NUM
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ap-959	359	9	true	true	ADJ
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ap-959	359	11	/dctencode	/dctencode	PUNCT
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ap-959	360	2	true	true	ADJ
ap-959	360	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
ap-959	360	4	/jpeg	/jpeg	PUNCT
ap-959	360	5	/coloracsimagedict	/coloracsimagedict	PUNCT
ap-959	361	1	<	<	X
ap-959	361	2	<	<	X
ap-959	361	3	/qfactor	/qfactor	NOUN
ap-959	361	4	0.15	0.15	NUM
ap-959	361	5	/hsamples	/hsample	NOUN
ap-959	362	1	[	[	X
ap-959	362	2	1	1	NUM
ap-959	362	3	1	1	NUM
ap-959	362	4	1	1	NUM
ap-959	362	5	1	1	NUM
ap-959	362	6	]	]	PUNCT
ap-959	362	7	/vsamples	/vsample	NOUN
ap-959	363	1	[	[	X
ap-959	363	2	1	1	NUM
ap-959	363	3	1	1	NUM
ap-959	363	4	1	1	NUM
ap-959	363	5	1	1	NUM
ap-959	363	6	]	]	PUNCT
ap-959	363	7	>	>	PUNCT
ap-959	363	8	>	>	X
ap-959	363	9	/colorimagedict	/colorimagedict	PUNCT
ap-959	364	1	<	<	X
ap-959	364	2	<	<	X
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ap-959	365	1	[	[	X
ap-959	365	2	1	1	NUM
ap-959	365	3	1	1	NUM
ap-959	365	4	1	1	NUM
ap-959	365	5	1	1	NUM
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ap-959	388	19	>	>	X
ap-959	388	20	/fra	/fra	PUNCT
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ap-959	389	3	>	>	X
ap-959	389	4	/gre	/gre	PUNCT
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ap-959	389	7	>	>	X
ap-959	389	8	/heb	/heb	X
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ap-959	389	11	>	>	X
ap-959	389	12	/hrv	/hrv	PROPN
ap-959	390	1	(	(	PUNCT
ap-959	390	2	za	za	PROPN
ap-959	390	3	stvaranje	stvaranje	PROPN
ap-959	390	4	adobe	adobe	PROPN
ap-959	390	5	pdf	pdf	PROPN
ap-959	390	6	dokumenata	dokumenata	PROPN
ap-959	390	7	najpogodnijih	najpogodnijih	PROPN
ap-959	390	8	za	za	PROPN
ap-959	390	9	visokokvalitetni	visokokvalitetni	VERB
ap-959	390	10	ispis	ispis	ADJ
ap-959	390	11	prije	prije	NOUN
ap-959	390	12	tiskanja	tiskanja	PROPN
ap-959	390	13	koristite	koristite	PROPN
ap-959	390	14	ove	ove	NOUN
ap-959	390	15	postavke	postavke	NOUN
ap-959	390	16	.	.	PUNCT
ap-959	391	1	stvoreni	stvoreni	ADJ
ap-959	391	2	pdf	pdf	NOUN
ap-959	391	3	dokumenti	dokumenti	PROPN
ap-959	391	4	mogu	mogu	PROPN
ap-959	391	5	se	se	X
ap-959	391	6	otvoriti	otvoriti	PROPN
ap-959	391	7	acrobat	acrobat	PROPN
ap-959	392	1	i	i	PRON
ap-959	392	2	adobe	adobe	PROPN
ap-959	392	3	reader	reader	PROPN
ap-959	392	4	5.0	5.0	NUM
ap-959	392	5	i	i	PRON
ap-959	392	6	kasnijim	kasnijim	VERB
ap-959	392	7	verzijama	verzijama	NOUN
ap-959	392	8	.	.	PUNCT
ap-959	392	9	)	)	PUNCT
ap-959	393	1	/hun	/hun	PUNCT
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ap-959	394	3	>	>	X
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ap-959	395	3	>	>	X
ap-959	395	4	/jpn	/jpn	PROPN
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ap-959	396	3	>	>	X
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ap-959	397	3	>	>	X
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ap-959	406	4	/sve	/sve	PROPN
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ap-959	406	8	/tur	/tur	X
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ap-959	406	15	>	>	X
ap-959	406	16	/enu	/enu	PUNCT
ap-959	406	17	(	(	PUNCT
ap-959	406	18	use	use	VERB
ap-959	406	19	these	these	DET
ap-959	406	20	settings	setting	NOUN
ap-959	406	21	to	to	PART
ap-959	406	22	create	create	VERB
ap-959	406	23	adobe	adobe	PROPN
ap-959	406	24	pdf	pdf	PROPN
ap-959	406	25	documents	document	NOUN
ap-959	406	26	best	well	ADV
ap-959	406	27	suited	suit	VERB
ap-959	406	28	for	for	ADP
ap-959	406	29	high	high	ADJ
ap-959	406	30	-	-	PUNCT
ap-959	406	31	quality	quality	NOUN
ap-959	406	32	prepress	prepress	NOUN
ap-959	406	33	printing	printing	NOUN
ap-959	406	34	.	.	PUNCT
ap-959	407	1	created	create	VERB
ap-959	407	2	pdf	pdf	NOUN
ap-959	407	3	documents	document	NOUN
ap-959	407	4	can	can	AUX
ap-959	407	5	be	be	AUX
ap-959	407	6	opened	open	VERB
ap-959	407	7	with	with	ADP
ap-959	407	8	acrobat	acrobat	PROPN
ap-959	407	9	and	and	CCONJ
ap-959	407	10	adobe	adobe	PROPN
ap-959	407	11	reader	reader	PROPN
ap-959	407	12	5.0	5.0	NUM
ap-959	407	13	and	and	CCONJ
ap-959	407	14	later	later	ADV
ap-959	407	15	.	.	PUNCT
ap-959	407	16	)	)	PUNCT
ap-959	408	1	/cze	/cze	PUNCT
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ap-959	409	6	/namespace	/namespace	PUNCT
ap-959	410	1	[	[	PUNCT
ap-959	410	2	(	(	PUNCT
ap-959	410	3	adobe	adobe	PROPN
ap-959	410	4	)	)	PUNCT
ap-959	410	5	(	(	PUNCT
ap-959	410	6	common	common	ADJ
ap-959	410	7	)	)	PUNCT
ap-959	410	8	(	(	PUNCT
ap-959	410	9	1.0	1.0	NUM
ap-959	410	10	)	)	PUNCT
ap-959	410	11	]	]	PUNCT
ap-959	411	1	/othernamespaces	/othernamespace	VERB
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ap-959	411	3	<	<	X
ap-959	411	4	<	<	X
ap-959	411	5	/asreaderspreads	/asreaderspreads	X
ap-959	411	6	false	false	ADJ
ap-959	411	7	/cropimagestoframes	/cropimagestoframe	NOUN
ap-959	411	8	true	true	ADJ
ap-959	411	9	/errorcontrol	/errorcontrol	NOUN
ap-959	412	1	/warnandcontinue	/warnandcontinue	PUNCT
ap-959	412	2	/flattenerignorespreadoverrides	/flattenerignorespreadoverride	NOUN
ap-959	412	3	false	false	ADJ
ap-959	412	4	/includeguidesgrids	/includeguidesgrid	NOUN
ap-959	412	5	false	false	ADJ
ap-959	412	6	/includenonprinting	/includenonprinting	NOUN
ap-959	412	7	false	false	ADJ
ap-959	412	8	/includeslug	/includeslug	INTJ
ap-959	412	9	false	false	ADJ
ap-959	412	10	/namespace	/namespace	NOUN
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ap-959	414	3	false	false	ADJ
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ap-959	414	5	false	false	ADJ
ap-959	414	6	/simulateoverprint	/simulateoverprint	NOUN
ap-959	414	7	/legacy	/legacy	PUNCT
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ap-959	416	3	/addbleedmarks	/addbleedmarks	X
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ap-959	416	6	false	false	ADJ
ap-959	416	7	/addcropmarks	/addcropmarks	PUNCT
ap-959	416	8	false	false	ADJ
ap-959	416	9	/addpageinfo	/addpageinfo	INTJ
ap-959	416	10	false	false	ADJ
ap-959	416	11	/addregmarks	/addregmark	NOUN
ap-959	416	12	false	false	ADJ
ap-959	416	13	/convertcolors	/convertcolor	NOUN
ap-959	416	14	/converttocmyk	/converttocmyk	INTJ
ap-959	416	15	/destinationprofilename	/destinationprofilename	PUNCT
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ap-959	416	18	/destinationprofileselector	/destinationprofileselector	NOUN
ap-959	416	19	/documentcmyk	/documentcmyk	PUNCT
ap-959	416	20	/downsample16bitimages	/downsample16bitimage	NOUN
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ap-959	418	5	false	false	ADJ
ap-959	418	6	/includehyperlinks	/includehyperlinks	INTJ
ap-959	418	7	false	false	ADJ
ap-959	418	8	/includeinteractive	/includeinteractive	ADJ
ap-959	418	9	false	false	ADJ
ap-959	418	10	/includelayers	/includelayer	NOUN
ap-959	418	11	false	false	ADJ
ap-959	418	12	/includeprofiles	/includeprofiles	INTJ
ap-959	418	13	false	false	ADJ
ap-959	418	14	/multimediahandling	/multimediahandling	NOUN
ap-959	419	1	/useobjectsettings	/useobjectsettings	PRON
ap-959	420	1	/namespace	/namespace	PUNCT
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ap-959	422	1	/pdfxoutputintentprofileselector	/pdfxoutputintentprofileselector	INTJ
ap-959	422	2	/documentcmyk	/documentcmyk	PUNCT
ap-959	423	1	/preserveediting	/preserveedite	VERB
ap-959	423	2	true	true	ADJ
ap-959	423	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
ap-959	423	4	/leaveuntagged	/leaveuntagge	VERB
ap-959	423	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
ap-959	423	6	/usedocumentprofile	/usedocumentprofile	INTJ
ap-959	423	7	/usedocumentbleed	/usedocumentbleed	NOUN
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ap-959	426	5	/pagesize	/pagesize	X
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