id	sid	tid	token	lemma	pos
ap-916	1	1	ap07_2-3.vp	ap07_2-3.vp	PRON
ap-916	1	2	1	1	NUM
ap-916	1	3	introduction	introduction	NOUN
ap-916	1	4	and	and	CCONJ
ap-916	1	5	statement	statement	NOUN
ap-916	1	6	of	of	ADP
ap-916	1	7	results	result	NOUN
ap-916	1	8	this	this	DET
ap-916	1	9	paper	paper	NOUN
ap-916	1	10	considers	consider	VERB
ap-916	1	11	the	the	DET
ap-916	1	12	fundamental	fundamental	ADJ
ap-916	1	13	questions	question	NOUN
ap-916	1	14	:	:	PUNCT
ap-916	1	15	what	what	PRON
ap-916	1	16	is	be	AUX
ap-916	1	17	the	the	DET
ap-916	1	18	determinant	determinant	NOUN
ap-916	1	19	of	of	ADP
ap-916	1	20	a	a	DET
ap-916	1	21	partial	partial	ADJ
ap-916	1	22	differential	differential	NOUN
ap-916	1	23	operator	operator	NOUN
ap-916	1	24	,	,	PUNCT
ap-916	1	25	and	and	CCONJ
ap-916	1	26	how	how	SCONJ
ap-916	1	27	might	might	AUX
ap-916	1	28	one	one	NUM
ap-916	1	29	compute	compute	VERB
ap-916	1	30	it	it	PRON
ap-916	1	31	?	?	PUNCT
ap-916	2	1	determinants	determinant	NOUN
ap-916	2	2	of	of	ADP
ap-916	2	3	differential	differential	ADJ
ap-916	2	4	operators	operator	NOUN
ap-916	2	5	occur	occur	VERB
ap-916	2	6	naturally	naturally	ADV
ap-916	2	7	in	in	ADP
ap-916	2	8	many	many	ADJ
ap-916	2	9	applications	application	NOUN
ap-916	2	10	in	in	ADP
ap-916	2	11	mathematical	mathematical	ADJ
ap-916	2	12	and	and	CCONJ
ap-916	2	13	theoretical	theoretical	ADJ
ap-916	2	14	physics	physics	NOUN
ap-916	2	15	,	,	PUNCT
ap-916	2	16	and	and	CCONJ
ap-916	2	17	also	also	ADV
ap-916	2	18	have	have	VERB
ap-916	2	19	inherent	inherent	ADJ
ap-916	2	20	mathematical	mathematical	ADJ
ap-916	2	21	interest	interest	NOUN
ap-916	2	22	since	since	SCONJ
ap-916	2	23	they	they	PRON
ap-916	2	24	encode	encode	VERB
ap-916	2	25	certain	certain	ADJ
ap-916	2	26	spectral	spectral	ADJ
ap-916	2	27	properties	property	NOUN
ap-916	2	28	of	of	ADP
ap-916	2	29	differential	differential	ADJ
ap-916	2	30	operators	operator	NOUN
ap-916	2	31	.	.	PUNCT
ap-916	3	1	physically	physically	ADV
ap-916	3	2	,	,	PUNCT
ap-916	3	3	such	such	ADJ
ap-916	3	4	determinants	determinant	NOUN
ap-916	3	5	arise	arise	VERB
ap-916	3	6	,	,	PUNCT
ap-916	3	7	for	for	ADP
ap-916	3	8	example	example	NOUN
ap-916	3	9	,	,	PUNCT
ap-916	3	10	in	in	ADP
ap-916	3	11	semiclassical	semiclassical	ADJ
ap-916	3	12	approximations	approximation	NOUN
ap-916	3	13	in	in	ADP
ap-916	3	14	quantum	quantum	ADJ
ap-916	3	15	mechanics	mechanic	NOUN
ap-916	3	16	and	and	CCONJ
ap-916	3	17	quantum	quantum	NOUN
ap-916	3	18	field	field	NOUN
ap-916	3	19	theory	theory	NOUN
ap-916	3	20	,	,	PUNCT
ap-916	3	21	in	in	ADP
ap-916	3	22	grand	grand	ADJ
ap-916	3	23	canonical	canonical	ADJ
ap-916	3	24	potentials	potential	NOUN
ap-916	3	25	in	in	ADP
ap-916	3	26	many	many	ADJ
ap-916	3	27	-	-	PUNCT
ap-916	3	28	body	body	NOUN
ap-916	3	29	theory	theory	NOUN
ap-916	3	30	and	and	CCONJ
ap-916	3	31	statistical	statistical	ADJ
ap-916	3	32	mechanics	mechanic	NOUN
ap-916	3	33	,	,	PUNCT
ap-916	3	34	in	in	ADP
ap-916	3	35	gap	gap	NOUN
ap-916	3	36	equations	equation	NOUN
ap-916	3	37	in	in	ADP
ap-916	3	38	the	the	DET
ap-916	3	39	mean	mean	ADJ
ap-916	3	40	-	-	PUNCT
ap-916	3	41	field	field	NOUN
ap-916	3	42	approximation	approximation	NOUN
ap-916	3	43	,	,	PUNCT
ap-916	3	44	in	in	ADP
ap-916	3	45	lattice	lattice	PROPN
ap-916	3	46	gauge	gauge	NOUN
ap-916	3	47	theory	theory	NOUN
ap-916	3	48	,	,	PUNCT
ap-916	3	49	and	and	CCONJ
ap-916	3	50	in	in	ADP
ap-916	3	51	gauge	gauge	NOUN
ap-916	3	52	fixing	fixing	NOUN
ap-916	3	53	(	(	PUNCT
ap-916	3	54	faddeev	faddeev	NOUN
ap-916	3	55	-	-	PUNCT
ap-916	3	56	popov	popov	NOUN
ap-916	3	57	determinant	determinant	ADJ
ap-916	3	58	)	)	PUNCT
ap-916	3	59	for	for	ADP
ap-916	3	60	non	non	ADJ
ap-916	3	61	-	-	ADJ
ap-916	3	62	abelian	abelian	ADJ
ap-916	3	63	gauge	gauge	NOUN
ap-916	3	64	theory	theory	NOUN
ap-916	3	65	.	.	PUNCT
ap-916	4	1	determinants	determinant	NOUN
ap-916	4	2	of	of	ADP
ap-916	4	3	free	free	ADJ
ap-916	4	4	laplacians	laplacian	NOUN
ap-916	4	5	and	and	CCONJ
ap-916	4	6	free	free	PROPN
ap-916	4	7	dirac	dirac	NOUN
ap-916	4	8	operators	operator	NOUN
ap-916	4	9	have	have	AUX
ap-916	4	10	been	be	AUX
ap-916	4	11	extensively	extensively	ADV
ap-916	4	12	studied	study	VERB
ap-916	4	13	[	[	X
ap-916	4	14	1–6	1–6	NUM
ap-916	4	15	]	]	X
ap-916	4	16	,	,	PUNCT
ap-916	4	17	but	but	CCONJ
ap-916	4	18	much	much	ADV
ap-916	4	19	less	less	ADJ
ap-916	4	20	is	be	AUX
ap-916	4	21	known	know	VERB
ap-916	4	22	about	about	ADP
ap-916	4	23	operators	operator	NOUN
ap-916	4	24	involving	involve	VERB
ap-916	4	25	an	an	DET
ap-916	4	26	arbitrary	arbitrary	ADJ
ap-916	4	27	potential	potential	ADJ
ap-916	4	28	function	function	NOUN
ap-916	4	29	.	.	PUNCT
ap-916	5	1	when	when	SCONJ
ap-916	5	2	the	the	DET
ap-916	5	3	operator	operator	NOUN
ap-916	5	4	under	under	ADP
ap-916	5	5	consideration	consideration	NOUN
ap-916	5	6	is	be	AUX
ap-916	5	7	an	an	DET
ap-916	5	8	ordinary	ordinary	ADJ
ap-916	5	9	(	(	PUNCT
ap-916	5	10	i.e.	i.e.	X
ap-916	5	11	,	,	PUNCT
ap-916	5	12	one	one	NUM
ap-916	5	13	dimensional	dimensional	ADJ
ap-916	5	14	)	)	PUNCT
ap-916	5	15	differential	differential	NOUN
ap-916	5	16	operator	operator	NOUN
ap-916	5	17	,	,	PUNCT
ap-916	5	18	a	a	DET
ap-916	5	19	beautiful	beautiful	ADJ
ap-916	5	20	general	general	ADJ
ap-916	5	21	theory	theory	NOUN
ap-916	5	22	due	due	ADP
ap-916	5	23	to	to	ADP
ap-916	5	24	gel’fand	gel’fand	VERB
ap-916	5	25	and	and	CCONJ
ap-916	5	26	yaglom	yaglom	NOUN
ap-916	5	27	[	[	X
ap-916	5	28	7	7	X
ap-916	5	29	]	]	PUNCT
ap-916	5	30	has	have	AUX
ap-916	5	31	been	be	AUX
ap-916	5	32	developed	develop	VERB
ap-916	5	33	for	for	ADP
ap-916	5	34	defining	define	VERB
ap-916	5	35	and	and	CCONJ
ap-916	5	36	computing	compute	VERB
ap-916	5	37	the	the	DET
ap-916	5	38	determinant	determinant	ADJ
ap-916	6	1	[	[	X
ap-916	6	2	8–11	8–11	NOUN
ap-916	6	3	]	]	PUNCT
ap-916	6	4	.	.	PUNCT
ap-916	7	1	in	in	ADP
ap-916	7	2	this	this	DET
ap-916	7	3	paper	paper	NOUN
ap-916	7	4	i	i	PRON
ap-916	7	5	discuss	discuss	VERB
ap-916	7	6	attempts	attempt	NOUN
ap-916	7	7	to	to	PART
ap-916	7	8	extend	extend	VERB
ap-916	7	9	these	these	DET
ap-916	7	10	results	result	NOUN
ap-916	7	11	to	to	ADP
ap-916	7	12	partial	partial	ADJ
ap-916	7	13	differential	differential	NOUN
ap-916	7	14	operators	operator	NOUN
ap-916	7	15	.	.	PUNCT
ap-916	8	1	even	even	ADV
ap-916	8	2	for	for	ADP
ap-916	8	3	the	the	DET
ap-916	8	4	simple	simple	ADJ
ap-916	8	5	radially	radially	ADV
ap-916	8	6	separable	separable	ADJ
ap-916	8	7	case	case	NOUN
ap-916	8	8	of	of	ADP
ap-916	8	9	the	the	DET
ap-916	8	10	free	free	ADJ
ap-916	8	11	laplacian	laplacian	NOUN
ap-916	8	12	on	on	ADP
ap-916	8	13	a	a	DET
ap-916	8	14	2d	2d	NUM
ap-916	8	15	disc	disc	NOUN
ap-916	8	16	,	,	PUNCT
ap-916	8	17	the	the	DET
ap-916	8	18	naive	naive	ADJ
ap-916	8	19	extension	extension	NOUN
ap-916	8	20	via	via	ADP
ap-916	8	21	a	a	DET
ap-916	8	22	sum	sum	NOUN
ap-916	8	23	over	over	ADP
ap-916	8	24	partial	partial	ADJ
ap-916	8	25	waves	wave	NOUN
ap-916	8	26	of	of	ADP
ap-916	8	27	ordinary	ordinary	ADJ
ap-916	8	28	differential	differential	ADJ
ap-916	8	29	operators	operator	NOUN
ap-916	8	30	,	,	PUNCT
ap-916	8	31	leads	lead	VERB
ap-916	8	32	to	to	ADP
ap-916	8	33	a	a	DET
ap-916	8	34	divergence	divergence	NOUN
ap-916	8	35	,	,	PUNCT
ap-916	8	36	as	as	SCONJ
ap-916	8	37	noted	note	VERB
ap-916	8	38	by	by	ADP
ap-916	8	39	forman	forman	NOUN
ap-916	8	40	[	[	X
ap-916	8	41	9	9	NUM
ap-916	8	42	]	]	PUNCT
ap-916	8	43	.	.	PUNCT
ap-916	9	1	however	however	ADV
ap-916	9	2	,	,	PUNCT
ap-916	9	3	it	it	PRON
ap-916	9	4	turns	turn	VERB
ap-916	9	5	out	out	ADP
ap-916	9	6	that	that	SCONJ
ap-916	9	7	this	this	DET
ap-916	9	8	divergence	divergence	NOUN
ap-916	9	9	has	have	VERB
ap-916	9	10	a	a	DET
ap-916	9	11	clear	clear	ADJ
ap-916	9	12	physical	physical	ADJ
ap-916	9	13	meaning	meaning	NOUN
ap-916	9	14	and	and	CCONJ
ap-916	9	15	can	can	AUX
ap-916	9	16	be	be	AUX
ap-916	9	17	understood	understand	VERB
ap-916	9	18	in	in	ADP
ap-916	9	19	the	the	DET
ap-916	9	20	context	context	NOUN
ap-916	9	21	of	of	ADP
ap-916	9	22	renormalization	renormalization	NOUN
ap-916	9	23	in	in	ADP
ap-916	9	24	quantum	quantum	ADJ
ap-916	9	25	field	field	NOUN
ap-916	9	26	theory	theory	NOUN
ap-916	9	27	.	.	PUNCT
ap-916	10	1	this	this	PRON
ap-916	10	2	leads	lead	VERB
ap-916	10	3	to	to	ADP
ap-916	10	4	finite	finite	VERB
ap-916	10	5	,	,	PUNCT
ap-916	10	6	renormalized	renormalize	VERB
ap-916	10	7	expressions	expression	NOUN
ap-916	10	8	[	[	X
ap-916	10	9	see	see	VERB
ap-916	10	10	eqs	eqs	X
ap-916	10	11	.	.	PUNCT
ap-916	11	1	(	(	PUNCT
ap-916	11	2	6)–(8	6)–(8	NUM
ap-916	11	3	)	)	PUNCT
ap-916	11	4	below	below	ADP
ap-916	11	5	]	]	PUNCT
ap-916	11	6	for	for	ADP
ap-916	11	7	the	the	DET
ap-916	11	8	determinant	determinant	NOUN
ap-916	11	9	of	of	ADP
ap-916	11	10	such	such	ADJ
ap-916	11	11	separable	separable	ADJ
ap-916	11	12	operators	operator	NOUN
ap-916	11	13	.	.	PUNCT
ap-916	12	1	the	the	DET
ap-916	12	2	result	result	NOUN
ap-916	12	3	for	for	ADP
ap-916	12	4	four	four	NUM
ap-916	12	5	dimensions	dimension	NOUN
ap-916	12	6	was	be	AUX
ap-916	12	7	first	first	ADV
ap-916	12	8	found	find	VERB
ap-916	12	9	in	in	ADP
ap-916	12	10	[	[	X
ap-916	12	11	12	12	NUM
ap-916	12	12	]	]	PUNCT
ap-916	12	13	using	use	VERB
ap-916	12	14	radial	radial	ADJ
ap-916	12	15	wkb	wkb	NOUN
ap-916	12	16	and	and	CCONJ
ap-916	12	17	an	an	DET
ap-916	12	18	angular	angular	ADJ
ap-916	12	19	momentum	momentum	NOUN
ap-916	12	20	cut	cut	VERB
ap-916	12	21	-	-	PUNCT
ap-916	12	22	off	off	ADP
ap-916	12	23	regularization	regularization	NOUN
ap-916	12	24	and	and	CCONJ
ap-916	12	25	renormalization	renormalization	NOUN
ap-916	12	26	[	[	X
ap-916	12	27	13	13	NUM
ap-916	12	28	]	]	PUNCT
ap-916	12	29	,	,	PUNCT
ap-916	12	30	and	and	CCONJ
ap-916	12	31	then	then	ADV
ap-916	12	32	in	in	ADP
ap-916	12	33	[	[	X
ap-916	12	34	14	14	NUM
ap-916	12	35	]	]	PUNCT
ap-916	12	36	using	use	VERB
ap-916	12	37	the	the	DET
ap-916	12	38	zeta	zeta	NOUN
ap-916	12	39	function	function	NOUN
ap-916	12	40	approach	approach	NOUN
ap-916	12	41	to	to	ADP
ap-916	12	42	determinants	determinant	NOUN
ap-916	12	43	.	.	PUNCT
ap-916	13	1	the	the	DET
ap-916	13	2	primary	primary	ADJ
ap-916	13	3	motivation	motivation	NOUN
ap-916	13	4	of	of	ADP
ap-916	13	5	this	this	DET
ap-916	13	6	work	work	NOUN
ap-916	13	7	is	be	AUX
ap-916	13	8	for	for	ADP
ap-916	13	9	applications	application	NOUN
ap-916	13	10	in	in	ADP
ap-916	13	11	quantum	quantum	ADJ
ap-916	13	12	field	field	NOUN
ap-916	13	13	theory	theory	NOUN
ap-916	13	14	,	,	PUNCT
ap-916	13	15	so	so	ADV
ap-916	13	16	we	we	PRON
ap-916	13	17	concentrate	concentrate	VERB
ap-916	13	18	on	on	ADP
ap-916	13	19	examples	example	NOUN
ap-916	13	20	in	in	ADP
ap-916	13	21	two	two	NUM
ap-916	13	22	,	,	PUNCT
ap-916	13	23	three	three	NUM
ap-916	13	24	and	and	CCONJ
ap-916	13	25	four	four	NUM
ap-916	13	26	dimensions	dimension	NOUN
ap-916	13	27	,	,	PUNCT
ap-916	13	28	but	but	CCONJ
ap-916	13	29	the	the	DET
ap-916	13	30	mathematical	mathematical	ADJ
ap-916	13	31	generalization	generalization	NOUN
ap-916	13	32	to	to	ADP
ap-916	13	33	arbitrary	arbitrary	ADJ
ap-916	13	34	dimension	dimension	NOUN
ap-916	13	35	should	should	AUX
ap-916	13	36	be	be	AUX
ap-916	13	37	clear	clear	ADJ
ap-916	13	38	.	.	PUNCT
ap-916	14	1	consider	consider	VERB
ap-916	14	2	the	the	DET
ap-916	14	3	radially	radially	ADV
ap-916	14	4	separable	separable	ADJ
ap-916	14	5	partial	partial	ADJ
ap-916	14	6	differential	differential	NOUN
ap-916	14	7	operators	operator	NOUN
ap-916	14	8	�	�	PROPN
ap-916	14	9	�	�	PROPN
ap-916	14	10	�	�	PROPN
ap-916	14	11	�	�	PROPN
ap-916	14	12	�	�	PROPN
ap-916	14	13	v	v	ADP
ap-916	14	14	r	r	NOUN
ap-916	14	15	(	(	PUNCT
ap-916	14	16	)	)	PUNCT
ap-916	14	17	;	;	PUNCT
ap-916	14	18	�	�	PROPN
ap-916	14	19	free	free	PROPN
ap-916	14	20	�	�	PROPN
ap-916	14	21	�	�	PROPN
ap-916	14	22	�	�	PROPN
ap-916	14	23	(	(	PUNCT
ap-916	14	24	1	1	NUM
ap-916	14	25	)	)	PUNCT
ap-916	14	26	where	where	SCONJ
ap-916	14	27	�	�	PROPN
ap-916	14	28	is	be	AUX
ap-916	14	29	the	the	DET
ap-916	14	30	laplace	laplace	NOUN
ap-916	14	31	operator	operator	NOUN
ap-916	14	32	in|rd	in|rd	NOUN
ap-916	14	33	,	,	PUNCT
ap-916	14	34	and	and	CCONJ
ap-916	14	35	v(r	v(r	NOUN
ap-916	14	36	)	)	PUNCT
ap-916	14	37	is	be	AUX
ap-916	14	38	a	a	DET
ap-916	14	39	radial	radial	ADJ
ap-916	14	40	potential	potential	ADJ
ap-916	14	41	vanishing	vanishing	NOUN
ap-916	14	42	at	at	ADP
ap-916	14	43	infinity	infinity	NOUN
ap-916	14	44	as	as	ADP
ap-916	14	45	r	r	NOUN
ap-916	14	46	�	�	PROPN
ap-916	14	47	2	2	NUM
ap-916	14	48	�	�	NOUN
ap-916	14	49	�	�	PROPN
ap-916	14	50	for	for	ADP
ap-916	14	51	d	d	PROPN
ap-916	14	52	�	�	PROPN
ap-916	14	53	2	2	NUM
ap-916	14	54	and	and	CCONJ
ap-916	14	55	d	d	PROPN
ap-916	14	56	�	�	PROPN
ap-916	14	57	3	3	NUM
ap-916	14	58	,	,	PUNCT
ap-916	14	59	and	and	CCONJ
ap-916	14	60	as	as	ADP
ap-916	14	61	r	r	NOUN
ap-916	14	62	�	�	PROPN
ap-916	14	63	4	4	NUM
ap-916	14	64	�	�	NOUN
ap-916	14	65	�	�	PROPN
ap-916	14	66	for	for	ADP
ap-916	14	67	d	d	PROPN
ap-916	14	68	�	�	PROPN
ap-916	14	69	4	4	NUM
ap-916	14	70	.	.	PUNCT
ap-916	15	1	for	for	ADP
ap-916	15	2	d	d	PROPN
ap-916	15	3	�	�	PROPN
ap-916	15	4	1	1	NUM
ap-916	15	5	,	,	PUNCT
ap-916	15	6	with	with	ADP
ap-916	15	7	dirichlet	dirichlet	PROPN
ap-916	15	8	boundary	boundary	ADJ
ap-916	15	9	conditions	condition	NOUN
ap-916	15	10	on	on	ADP
ap-916	15	11	the	the	DET
ap-916	15	12	interval	interval	NOUN
ap-916	15	13	[	[	X
ap-916	15	14	0	0	NUM
ap-916	15	15	,	,	PUNCT
ap-916	15	16	�	�	PROPN
ap-916	15	17	)	)	PUNCT
ap-916	15	18	,	,	PUNCT
ap-916	15	19	the	the	DET
ap-916	15	20	results	result	NOUN
ap-916	15	21	of	of	ADP
ap-916	15	22	gel’fand	gel’fand	NOUN
ap-916	15	23	and	and	CCONJ
ap-916	15	24	yaglom	yaglom	NOUN
ap-916	15	25	[	[	X
ap-916	15	26	7	7	X
ap-916	15	27	]	]	PUNCT
ap-916	15	28	lead	lead	NOUN
ap-916	15	29	to	to	ADP
ap-916	15	30	the	the	DET
ap-916	15	31	following	follow	VERB
ap-916	15	32	simple	simple	ADJ
ap-916	15	33	expression	expression	NOUN
ap-916	15	34	for	for	ADP
ap-916	15	35	the	the	DET
ap-916	15	36	determinant	determinant	ADJ
ap-916	15	37	ratio	ratio	NOUN
ap-916	15	38	:	:	PUNCT
ap-916	15	39	det	det	PROPN
ap-916	15	40	[	[	PUNCT
ap-916	15	41	]	]	X
ap-916	15	42	det	det	X
ap-916	15	43	[	[	PUNCT
ap-916	15	44	]	]	X
ap-916	15	45	(	(	PUNCT
ap-916	15	46	)	)	PUNCT
ap-916	15	47	(	(	PUNCT
ap-916	15	48	)	)	PUNCT
ap-916	15	49	�	�	PROPN
ap-916	15	50	�	�	PROPN
ap-916	15	51	�	�	PROPN
ap-916	15	52	�	�	PROPN
ap-916	15	53	�	�	PROPN
ap-916	15	54	�	�	PROPN
ap-916	15	55	�	�	PROPN
ap-916	15	56	m	m	VERB
ap-916	15	57	m	m	VERB
ap-916	15	58	2	2	NUM
ap-916	15	59	2free	2free	NUM
ap-916	15	60	free	free	ADJ
ap-916	15	61	�	�	PROPN
ap-916	15	62	�	�	PROPN
ap-916	15	63	,	,	PUNCT
ap-916	15	64	(	(	PUNCT
ap-916	15	65	2	2	X
ap-916	15	66	)	)	PUNCT
ap-916	15	67	where	where	SCONJ
ap-916	15	68	[	[	PUNCT
ap-916	15	69	]	]	X
ap-916	15	70	�	�	PROPN
ap-916	15	71	�	�	PROPN
ap-916	15	72	�	�	PROPN
ap-916	15	73	m2	m2	PROPN
ap-916	15	74	0	0	NUM
ap-916	15	75	�	�	PROPN
ap-916	15	76	,	,	PUNCT
ap-916	15	77	with	with	ADP
ap-916	15	78	initial	initial	ADJ
ap-916	15	79	value	value	NOUN
ap-916	15	80	boundary	boundary	ADJ
ap-916	15	81	conditions	condition	NOUN
ap-916	15	82	:	:	PUNCT
ap-916	15	83	�	�	PROPN
ap-916	15	84	(	(	PUNCT
ap-916	15	85	)	)	PUNCT
ap-916	15	86	0	0	SYM
ap-916	15	87	0	0	NUM
ap-916	15	88	�	�	PROPN
ap-916	15	89	and	and	CCONJ
ap-916	15	90	�	�	PROPN
ap-916	15	91	�	�	PROPN
ap-916	15	92	�	�	PROPN
ap-916	15	93	(	(	PUNCT
ap-916	15	94	)	)	PUNCT
ap-916	15	95	0	0	NUM
ap-916	16	1	1	1	NUM
ap-916	16	2	.	.	PUNCT
ap-916	17	1	the	the	DET
ap-916	17	2	function	function	NOUN
ap-916	17	3	�	�	NOUN
ap-916	17	4	free	free	ADJ
ap-916	17	5	is	be	AUX
ap-916	17	6	defined	define	VERB
ap-916	17	7	similarly	similarly	ADV
ap-916	17	8	in	in	ADP
ap-916	17	9	terms	term	NOUN
ap-916	17	10	of	of	ADP
ap-916	17	11	the	the	DET
ap-916	17	12	free	free	ADJ
ap-916	17	13	operator	operator	NOUN
ap-916	17	14	:	:	PUNCT
ap-916	17	15	[	[	PUNCT
ap-916	17	16	]	]	X
ap-916	17	17	�	�	PROPN
ap-916	17	18	free	free	PROPN
ap-916	17	19	�	�	PROPN
ap-916	17	20	m2	m2	PROPN
ap-916	17	21	.	.	PUNCT
ap-916	18	1	the	the	DET
ap-916	18	2	squared	square	VERB
ap-916	18	3	mass	mass	PROPN
ap-916	18	4	,	,	PUNCT
ap-916	18	5	m2	m2	PROPN
ap-916	18	6	,	,	PUNCT
ap-916	18	7	is	be	AUX
ap-916	18	8	important	important	ADJ
ap-916	18	9	for	for	ADP
ap-916	18	10	physical	physical	ADJ
ap-916	18	11	applications	application	NOUN
ap-916	18	12	,	,	PUNCT
ap-916	18	13	and	and	CCONJ
ap-916	18	14	plays	play	VERB
ap-916	18	15	the	the	DET
ap-916	18	16	mathematical	mathematical	ADJ
ap-916	18	17	role	role	NOUN
ap-916	18	18	of	of	ADP
ap-916	18	19	a	a	DET
ap-916	18	20	spectral	spectral	ADJ
ap-916	18	21	parameter	parameter	NOUN
ap-916	18	22	.	.	PUNCT
ap-916	19	1	the	the	DET
ap-916	19	2	result	result	NOUN
ap-916	19	3	(	(	PUNCT
ap-916	19	4	4	4	X
ap-916	19	5	)	)	PUNCT
ap-916	19	6	is	be	AUX
ap-916	19	7	geometrically	geometrically	ADV
ap-916	19	8	interesting	interesting	ADJ
ap-916	19	9	,	,	PUNCT
ap-916	19	10	in	in	ADP
ap-916	19	11	addition	addition	NOUN
ap-916	19	12	to	to	ADP
ap-916	19	13	being	be	AUX
ap-916	19	14	computationally	computationally	ADV
ap-916	19	15	simple	simple	ADJ
ap-916	19	16	,	,	PUNCT
ap-916	19	17	as	as	SCONJ
ap-916	19	18	it	it	PRON
ap-916	19	19	means	mean	VERB
ap-916	19	20	that	that	SCONJ
ap-916	19	21	the	the	DET
ap-916	19	22	determinant	determinant	ADJ
ap-916	19	23	is	be	AUX
ap-916	19	24	determined	determine	VERB
ap-916	19	25	simply	simply	ADV
ap-916	19	26	by	by	ADP
ap-916	19	27	the	the	DET
ap-916	19	28	boundary	boundary	ADJ
ap-916	19	29	values	value	NOUN
ap-916	19	30	of	of	ADP
ap-916	19	31	the	the	DET
ap-916	19	32	solutions	solution	NOUN
ap-916	19	33	of	of	ADP
ap-916	19	34	[	[	PUNCT
ap-916	19	35	]	]	X
ap-916	19	36	�	�	PROPN
ap-916	19	37	�	�	PROPN
ap-916	19	38	�	�	PROPN
ap-916	19	39	m2	m2	PROPN
ap-916	19	40	0	0	NUM
ap-916	19	41	�	�	PROPN
ap-916	19	42	,	,	PUNCT
ap-916	19	43	and	and	CCONJ
ap-916	19	44	no	no	DET
ap-916	19	45	detailed	detailed	ADJ
ap-916	19	46	information	information	NOUN
ap-916	19	47	is	be	AUX
ap-916	19	48	needed	need	VERB
ap-916	19	49	concerning	concern	VERB
ap-916	19	50	the	the	DET
ap-916	19	51	actual	actual	ADJ
ap-916	19	52	spectrum	spectrum	NOUN
ap-916	19	53	of	of	ADP
ap-916	19	54	eigenvalues	eigenvalue	NOUN
ap-916	19	55	.	.	PUNCT
ap-916	20	1	now	now	ADV
ap-916	20	2	consider	consider	VERB
ap-916	20	3	dimensions	dimension	NOUN
ap-916	20	4	d	d	NOUN
ap-916	20	5	1	1	X
ap-916	20	6	.	.	PUNCT
ap-916	21	1	since	since	SCONJ
ap-916	21	2	the	the	DET
ap-916	21	3	potential	potential	NOUN
ap-916	21	4	is	be	AUX
ap-916	21	5	radial	radial	ADJ
ap-916	21	6	,	,	PUNCT
ap-916	21	7	v	v	NOUN
ap-916	21	8	=	=	NOUN
ap-916	21	9	v(r	v(r	NOUN
ap-916	21	10	)	)	PUNCT
ap-916	21	11	,	,	PUNCT
ap-916	21	12	we	we	PRON
ap-916	21	13	can	can	AUX
ap-916	21	14	express	express	VERB
ap-916	21	15	the	the	DET
ap-916	21	16	eigenfunctions	eigenfunction	NOUN
ap-916	21	17	of	of	ADP
ap-916	21	18	�	�	PROPN
ap-916	21	19	as	as	ADP
ap-916	21	20	linear	linear	ADJ
ap-916	21	21	combinations	combination	NOUN
ap-916	21	22	of	of	ADP
ap-916	21	23	basis	basis	NOUN
ap-916	21	24	functions	function	NOUN
ap-916	21	25	of	of	ADP
ap-916	21	26	the	the	DET
ap-916	21	27	form	form	NOUN
ap-916	21	28	�	�	PROPN
ap-916	21	29	�	�	PROPN
ap-916	21	30	�	�	PROPN
ap-916	21	31	r	r	NOUN
ap-916	21	32	r	r	NOUN
ap-916	21	33	r	r	NOUN
ap-916	21	34	yd	yd	NOUN
ap-916	21	35	l	l	NOUN
ap-916	21	36	l	l	X
ap-916	21	37	�	�	PROPN
ap-916	21	38	�	�	PROPN
ap-916	21	39	�	�	PROPN
ap-916	21	40	�	�	PROPN
ap-916	21	41	�	�	PROPN
ap-916	21	42	)	)	PUNCT
ap-916	21	43	(	(	PUNCT
ap-916	21	44	)	)	PUNCT
ap-916	21	45	(	(	PUNCT
ap-916	21	46	)	)	PUNCT
ap-916	21	47	(	(	PUNCT
ap-916	21	48	)	)	PUNCT
ap-916	21	49	(	(	PUNCT
ap-916	21	50	)	)	PUNCT
ap-916	21	51	(	(	PUNCT
ap-916	21	52	)	)	PUNCT
ap-916	21	53	�	�	PROPN
ap-916	21	54	�	�	PROPN
ap-916	21	55	1	1	NUM
ap-916	21	56	1	1	NUM
ap-916	21	57	2	2	NUM
ap-916	21	58	,	,	PUNCT
ap-916	21	59	where	where	SCONJ
ap-916	21	60	y	y	PROPN
ap-916	21	61	l	l	PROPN
ap-916	21	62	(	(	PUNCT
ap-916	21	63	)	)	PUNCT
ap-916	21	64	(	(	PUNCT
ap-916	21	65	)	)	PUNCT
ap-916	21	66	�	�	PROPN
ap-916	21	67	�	�	PROPN
ap-916	21	68	is	be	AUX
ap-916	21	69	a	a	DET
ap-916	21	70	hyperspherical	hyperspherical	ADJ
ap-916	21	71	harmonic	harmonic	NOUN
ap-916	21	72	,	,	PUNCT
ap-916	21	73	labeled	label	VERB
ap-916	21	74	in	in	ADP
ap-916	21	75	part	part	NOUN
ap-916	21	76	by	by	ADP
ap-916	21	77	a	a	DET
ap-916	21	78	non	non	ADJ
ap-916	21	79	-	-	ADJ
ap-916	21	80	negative	negative	ADJ
ap-916	21	81	integer	integer	NOUN
ap-916	21	82	l	l	NOUN
ap-916	21	83	,	,	PUNCT
ap-916	21	84	and	and	CCONJ
ap-916	21	85	the	the	DET
ap-916	21	86	radial	radial	ADJ
ap-916	21	87	function	function	NOUN
ap-916	21	88	�	�	PROPN
ap-916	21	89	(	(	PUNCT
ap-916	21	90	)	)	PUNCT
ap-916	21	91	(	(	PUNCT
ap-916	21	92	)	)	PUNCT
ap-916	22	1	l	l	NOUN
ap-916	22	2	r	r	NOUN
ap-916	22	3	is	be	AUX
ap-916	22	4	an	an	DET
ap-916	22	5	eigenfunction	eigenfunction	NOUN
ap-916	22	6	of	of	ADP
ap-916	22	7	the	the	DET
ap-916	22	8	schrödinger	schrödinger	ADJ
ap-916	22	9	-	-	PUNCT
ap-916	22	10	like	like	ADJ
ap-916	22	11	radial	radial	ADJ
ap-916	22	12	operator	operator	NOUN
ap-916	22	13	�	�	PROPN
ap-916	22	14	(	(	PUNCT
ap-916	22	15	)	)	PUNCT
ap-916	22	16	(	(	PUNCT
ap-916	22	17	)	)	PUNCT
ap-916	22	18	l	l	NOUN
ap-916	23	1	d	d	X
ap-916	23	2	dr	dr	PROPN
ap-916	23	3	l	l	PROPN
ap-916	23	4	d	d	PROPN
ap-916	23	5	l	l	PUNCT
ap-916	24	1	d	d	NOUN
ap-916	24	2	r	r	NOUN
ap-916	24	3	v	v	NOUN
ap-916	24	4	r	r	NOUN
ap-916	24	5	�	�	PROPN
ap-916	24	6	�	�	PROPN
ap-916	24	7	�	�	PROPN
ap-916	24	8	�	�	PROPN
ap-916	24	9	�	�	PROPN
ap-916	24	10	�	�	PROPN
ap-916	24	11	�	�	PROPN
ap-916	24	12	�	�	PROPN
ap-916	24	13	�	�	PROPN
ap-916	24	14	�	�	PROPN
ap-916	24	15	�	�	PROPN
ap-916	24	16	�	�	PROPN
ap-916	24	17	�	�	PROPN
ap-916	24	18	�	�	PROPN
ap-916	24	19	�	�	PROPN
ap-916	24	20	�	�	PROPN
ap-916	24	21	�	�	PROPN
ap-916	24	22	2	2	NUM
ap-916	24	23	2	2	NUM
ap-916	24	24	2	2	NUM
ap-916	24	25	3	3	NUM
ap-916	24	26	2	2	NUM
ap-916	24	27	1	1	NUM
ap-916	24	28	2	2	NUM
ap-916	24	29	.	.	PUNCT
ap-916	25	1	(	(	PUNCT
ap-916	25	2	3	3	X
ap-916	25	3	)	)	PUNCT
ap-916	25	4	�	�	PROPN
ap-916	25	5	(	(	PUNCT
ap-916	25	6	)	)	PUNCT
ap-916	25	7	free	free	ADJ
ap-916	25	8	l	l	NOUN
ap-916	25	9	is	be	AUX
ap-916	25	10	defined	define	VERB
ap-916	25	11	similarly	similarly	ADV
ap-916	25	12	,	,	PUNCT
ap-916	25	13	with	with	SCONJ
ap-916	25	14	the	the	DET
ap-916	25	15	potential	potential	NOUN
ap-916	25	16	omitted	omit	VERB
ap-916	25	17	:	:	PUNCT
ap-916	25	18	v	v	NUM
ap-916	25	19	�	�	PROPN
ap-916	25	20	0	0	NUM
ap-916	25	21	.	.	PUNCT
ap-916	26	1	in	in	ADP
ap-916	26	2	dimension	dimension	NOUN
ap-916	26	3	d	d	X
ap-916	26	4	�	�	PROPN
ap-916	26	5	2	2	NUM
ap-916	26	6	,	,	PUNCT
ap-916	26	7	the	the	DET
ap-916	26	8	radial	radial	ADJ
ap-916	26	9	eigenfunctions	eigenfunction	NOUN
ap-916	26	10	�	�	PROPN
ap-916	26	11	(	(	PUNCT
ap-916	26	12	l	l	NOUN
ap-916	26	13	)	)	PUNCT
ap-916	26	14	have	have	VERB
ap-916	26	15	degeneracy	degeneracy	NOUN
ap-916	26	16	given	give	VERB
ap-916	26	17	by	by	ADP
ap-916	26	18	deg	deg	PROPN
ap-916	26	19	(	(	PUNCT
ap-916	26	20	;	;	PUNCT
ap-916	26	21	)	)	PUNCT
ap-916	26	22	(	(	PUNCT
ap-916	26	23	)	)	PUNCT
ap-916	26	24	(	(	PUNCT
ap-916	26	25	)	)	PUNCT
ap-916	26	26	!	!	PUNCT
ap-916	26	27	!	!	PUNCT
ap-916	27	1	(	(	PUNCT
ap-916	27	2	)	)	PUNCT
ap-916	27	3	!	!	PUNCT
ap-916	28	1	l	l	PUNCT
ap-916	29	1	d	d	PUNCT
ap-916	29	2	l	l	NOUN
ap-916	29	3	d	d	X
ap-916	29	4	l	l	NOUN
ap-916	29	5	d	d	X
ap-916	29	6	l	l	X
ap-916	29	7	d	d	X
ap-916	29	8	�	�	PROPN
ap-916	29	9	�	�	PROPN
ap-916	29	10	�	�	PROPN
ap-916	29	11	�	�	PROPN
ap-916	29	12	�	�	PROPN
ap-916	29	13	2	2	NUM
ap-916	29	14	2	2	NUM
ap-916	29	15	3	3	NUM
ap-916	29	16	2	2	NUM
ap-916	29	17	.	.	PUNCT
ap-916	30	1	(	(	PUNCT
ap-916	30	2	4	4	X
ap-916	30	3	)	)	PUNCT
ap-916	30	4	formally	formally	ADV
ap-916	30	5	,	,	PUNCT
ap-916	30	6	for	for	ADP
ap-916	30	7	the	the	DET
ap-916	30	8	separable	separable	ADJ
ap-916	30	9	operators	operator	NOUN
ap-916	30	10	in	in	ADP
ap-916	30	11	(	(	PUNCT
ap-916	30	12	1	1	NUM
ap-916	30	13	)	)	PUNCT
ap-916	30	14	,	,	PUNCT
ap-916	30	15	the	the	DET
ap-916	30	16	logarithm	logarithm	NOUN
ap-916	30	17	of	of	ADP
ap-916	30	18	the	the	DET
ap-916	30	19	determinant	determinant	ADJ
ap-916	30	20	ratio	ratio	NOUN
ap-916	30	21	can	can	AUX
ap-916	30	22	be	be	AUX
ap-916	30	23	written	write	VERB
ap-916	30	24	as	as	ADP
ap-916	30	25	a	a	DET
ap-916	30	26	sum	sum	NOUN
ap-916	30	27	over	over	ADP
ap-916	30	28	l	l	NOUN
ap-916	30	29	(	(	PUNCT
ap-916	30	30	weighted	weight	VERB
ap-916	30	31	with	with	ADP
ap-916	30	32	the	the	DET
ap-916	30	33	degeneracy	degeneracy	NOUN
ap-916	30	34	factor	factor	NOUN
ap-916	30	35	)	)	PUNCT
ap-916	30	36	of	of	ADP
ap-916	30	37	the	the	DET
ap-916	30	38	logarithm	logarithm	NOUN
ap-916	30	39	of	of	ADP
ap-916	30	40	one	one	NUM
ap-916	30	41	-	-	PUNCT
ap-916	30	42	dimensional	dimensional	ADJ
ap-916	30	43	determinant	determinant	ADJ
ap-916	30	44	ratios	ratio	NOUN
ap-916	30	45	,	,	PUNCT
ap-916	30	46	ln	ln	PROPN
ap-916	30	47	det	det	PROPN
ap-916	30	48	[	[	PUNCT
ap-916	30	49	]	]	X
ap-916	30	50	det	det	X
ap-916	30	51	[	[	PUNCT
ap-916	30	52	]	]	X
ap-916	30	53	deg	deg	PROPN
ap-916	30	54	(	(	PUNCT
ap-916	30	55	;	;	PUNCT
ap-916	30	56	)	)	PUNCT
ap-916	30	57	ln	ln	PROPN
ap-916	30	58	det	det	PROPN
ap-916	30	59	[	[	X
ap-916	30	60	�	�	PROPN
ap-916	30	61	�	�	PROPN
ap-916	30	62	�	�	PROPN
ap-916	30	63	�	�	PROPN
ap-916	30	64	�	�	PROPN
ap-916	30	65	�	�	PROPN
ap-916	30	66	�	�	PROPN
ap-916	30	67	�	�	PROPN
ap-916	30	68	�	�	PROPN
ap-916	30	69	�	�	PROPN
ap-916	30	70	�	�	PROPN
ap-916	30	71	�	�	PROPN
ap-916	30	72	m	m	NOUN
ap-916	30	73	m	m	VERB
ap-916	30	74	l	l	NOUN
ap-916	30	75	d	d	X
ap-916	30	76	2	2	NUM
ap-916	30	77	2free	2free	NUM
ap-916	30	78	(	(	PUNCT
ap-916	30	79	l	l	NOUN
ap-916	30	80	ll	ll	AUX
ap-916	30	81	m	m	VERB
ap-916	30	82	m	m	VERB
ap-916	30	83	)	)	PUNCT
ap-916	30	84	(	(	PUNCT
ap-916	30	85	)	)	PUNCT
ap-916	30	86	free	free	PROPN
ap-916	30	87	�	�	PROPN
ap-916	30	88	�	�	PROPN
ap-916	30	89	�	�	PROPN
ap-916	30	90	�	�	PROPN
ap-916	30	91	�	�	PROPN
ap-916	30	92	�	�	PROPN
ap-916	30	93	�	�	PROPN
ap-916	30	94	�	�	PROPN
ap-916	30	95	�	�	PROPN
ap-916	30	96	�	�	PROPN
ap-916	30	97	�	�	PROPN
ap-916	31	1	2	2	NUM
ap-916	31	2	2	2	NUM
ap-916	31	3	0	0	NUM
ap-916	31	4	]	]	PUNCT
ap-916	31	5	det	det	PROPN
ap-916	31	6	[	[	PUNCT
ap-916	31	7	]	]	X
ap-916	31	8	�	�	PROPN
ap-916	31	9	(	(	PUNCT
ap-916	31	10	5	5	NUM
ap-916	31	11	)	)	PUNCT
ap-916	31	12	©	©	PROPN
ap-916	31	13	czech	czech	PROPN
ap-916	31	14	technical	technical	PROPN
ap-916	31	15	university	university	PROPN
ap-916	31	16	publishing	publishing	NOUN
ap-916	31	17	house	house	NOUN
ap-916	31	18	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	31	19	3	3	NUM
ap-916	31	20	acta	acta	PROPN
ap-916	31	21	polytechnica	polytechnica	PROPN
ap-916	31	22	vol	vol	NOUN
ap-916	31	23	.	.	PUNCT
ap-916	32	1	47	47	NUM
ap-916	32	2	no	no	NOUN
ap-916	32	3	.	.	PUNCT
ap-916	33	1	2–3/2007	2–3/2007	NUM
ap-916	33	2	functional	functional	ADJ
ap-916	33	3	determinants	determinant	NOUN
ap-916	33	4	for	for	ADP
ap-916	33	5	radially	radially	ADV
ap-916	33	6	separable	separable	ADJ
ap-916	33	7	partial	partial	ADJ
ap-916	33	8	differential	differential	NOUN
ap-916	33	9	operators	operator	NOUN
ap-916	33	10	g.	g.	PROPN
ap-916	34	1	v.	v.	CCONJ
ap-916	34	2	dunne	dunne	PROPN
ap-916	34	3	functional	functional	ADJ
ap-916	34	4	determinants	determinant	NOUN
ap-916	34	5	of	of	ADP
ap-916	34	6	differential	differential	ADJ
ap-916	34	7	operators	operator	NOUN
ap-916	34	8	play	play	VERB
ap-916	34	9	a	a	DET
ap-916	34	10	prominent	prominent	ADJ
ap-916	34	11	role	role	NOUN
ap-916	34	12	in	in	ADP
ap-916	34	13	many	many	ADJ
ap-916	34	14	fields	field	NOUN
ap-916	34	15	of	of	ADP
ap-916	34	16	theoretical	theoretical	ADJ
ap-916	34	17	and	and	CCONJ
ap-916	34	18	mathematical	mathematical	ADJ
ap-916	34	19	physics	physics	NOUN
ap-916	34	20	,	,	PUNCT
ap-916	34	21	ranging	range	VERB
ap-916	34	22	from	from	ADP
ap-916	34	23	condensed	condense	VERB
ap-916	34	24	matter	matter	NOUN
ap-916	34	25	physics	physics	NOUN
ap-916	34	26	,	,	PUNCT
ap-916	34	27	to	to	ADP
ap-916	34	28	atomic	atomic	ADJ
ap-916	34	29	,	,	PUNCT
ap-916	34	30	molecular	molecular	ADJ
ap-916	34	31	and	and	CCONJ
ap-916	34	32	particle	particle	NOUN
ap-916	34	33	physics	physics	NOUN
ap-916	34	34	.	.	PUNCT
ap-916	35	1	they	they	PRON
ap-916	35	2	are	be	AUX
ap-916	35	3	,	,	PUNCT
ap-916	35	4	however	however	ADV
ap-916	35	5	,	,	PUNCT
ap-916	35	6	difficult	difficult	ADJ
ap-916	35	7	to	to	PART
ap-916	35	8	compute	compute	VERB
ap-916	35	9	reliably	reliably	ADV
ap-916	35	10	in	in	ADP
ap-916	35	11	non	non	ADJ
ap-916	35	12	-	-	ADJ
ap-916	35	13	trivial	trivial	ADJ
ap-916	35	14	cases	case	NOUN
ap-916	35	15	.	.	PUNCT
ap-916	36	1	in	in	ADP
ap-916	36	2	one	one	NUM
ap-916	36	3	dimensional	dimensional	ADJ
ap-916	36	4	problems	problem	NOUN
ap-916	36	5	(	(	PUNCT
ap-916	36	6	i.e.	i.e.	X
ap-916	36	7	functional	functional	ADJ
ap-916	36	8	determinants	determinant	NOUN
ap-916	36	9	of	of	ADP
ap-916	36	10	ordinary	ordinary	ADJ
ap-916	36	11	differential	differential	ADJ
ap-916	36	12	operators	operator	NOUN
ap-916	36	13	)	)	PUNCT
ap-916	36	14	,	,	PUNCT
ap-916	36	15	a	a	DET
ap-916	36	16	classic	classic	ADJ
ap-916	36	17	result	result	NOUN
ap-916	36	18	of	of	ADP
ap-916	36	19	gel’fand	gel’fand	NOUN
ap-916	36	20	and	and	CCONJ
ap-916	36	21	yaglom	yaglom	NOUN
ap-916	36	22	greatly	greatly	ADV
ap-916	36	23	simplifies	simplify	VERB
ap-916	36	24	the	the	DET
ap-916	36	25	computation	computation	NOUN
ap-916	36	26	of	of	ADP
ap-916	36	27	functional	functional	ADJ
ap-916	36	28	determinants	determinant	NOUN
ap-916	36	29	.	.	PUNCT
ap-916	37	1	here	here	ADV
ap-916	37	2	i	i	PRON
ap-916	37	3	report	report	VERB
ap-916	37	4	some	some	DET
ap-916	37	5	recent	recent	ADJ
ap-916	37	6	progress	progress	NOUN
ap-916	37	7	in	in	ADP
ap-916	37	8	extending	extend	VERB
ap-916	37	9	this	this	DET
ap-916	37	10	approach	approach	NOUN
ap-916	37	11	to	to	ADP
ap-916	37	12	higher	high	ADJ
ap-916	37	13	dimensions	dimension	NOUN
ap-916	37	14	(	(	PUNCT
ap-916	37	15	i.e.	i.e.	X
ap-916	37	16	,	,	PUNCT
ap-916	37	17	functional	functional	ADJ
ap-916	37	18	determinants	determinant	NOUN
ap-916	37	19	of	of	ADP
ap-916	37	20	partial	partial	ADJ
ap-916	37	21	differential	differential	NOUN
ap-916	37	22	operators	operator	NOUN
ap-916	37	23	)	)	PUNCT
ap-916	37	24	,	,	PUNCT
ap-916	37	25	with	with	ADP
ap-916	37	26	applications	application	NOUN
ap-916	37	27	in	in	ADP
ap-916	37	28	quantum	quantum	ADJ
ap-916	37	29	field	field	NOUN
ap-916	37	30	theory	theory	NOUN
ap-916	37	31	.	.	PUNCT
ap-916	38	1	keywords	keyword	NOUN
ap-916	38	2	:	:	PUNCT
ap-916	38	3	quantum	quantum	ADJ
ap-916	38	4	field	field	NOUN
ap-916	38	5	theory	theory	NOUN
ap-916	38	6	,	,	PUNCT
ap-916	38	7	functional	functional	ADJ
ap-916	38	8	determinants	determinant	NOUN
ap-916	38	9	,	,	PUNCT
ap-916	38	10	zeta	zeta	NOUN
ap-916	38	11	functions	function	NOUN
ap-916	38	12	,	,	PUNCT
ap-916	38	13	spectral	spectral	ADJ
ap-916	38	14	theory	theory	NOUN
ap-916	38	15	,	,	PUNCT
ap-916	38	16	partial	partial	ADJ
ap-916	38	17	differential	differential	NOUN
ap-916	38	18	operators	operator	NOUN
ap-916	38	19	.	.	PUNCT
ap-916	39	1	each	each	DET
ap-916	39	2	term	term	NOUN
ap-916	39	3	in	in	ADP
ap-916	39	4	the	the	DET
ap-916	39	5	sum	sum	NOUN
ap-916	39	6	can	can	AUX
ap-916	39	7	be	be	AUX
ap-916	39	8	computed	compute	VERB
ap-916	39	9	using	use	VERB
ap-916	39	10	the	the	DET
ap-916	39	11	sturm	sturm	NOUN
ap-916	39	12	-	-	PUNCT
ap-916	39	13	liouville	liouville	NOUN
ap-916	39	14	extension	extension	NOUN
ap-916	39	15	[	[	X
ap-916	39	16	10	10	NUM
ap-916	39	17	]	]	PUNCT
ap-916	39	18	of	of	ADP
ap-916	39	19	the	the	DET
ap-916	39	20	gel’fand	gel’fand	NOUN
ap-916	39	21	-	-	PUNCT
ap-916	39	22	yaglom	yaglom	NOUN
ap-916	39	23	result	result	NOUN
ap-916	39	24	(	(	PUNCT
ap-916	39	25	2	2	NUM
ap-916	39	26	)	)	PUNCT
ap-916	39	27	.	.	PUNCT
ap-916	40	1	however	however	ADV
ap-916	40	2	,	,	PUNCT
ap-916	40	3	the	the	DET
ap-916	40	4	l	l	NOUN
ap-916	40	5	sum	sum	NOUN
ap-916	40	6	in	in	ADP
ap-916	40	7	(	(	PUNCT
ap-916	40	8	5	5	NUM
ap-916	40	9	)	)	PUNCT
ap-916	40	10	is	be	AUX
ap-916	40	11	divergent	divergent	ADJ
ap-916	40	12	,	,	PUNCT
ap-916	40	13	as	as	SCONJ
ap-916	40	14	noted	note	VERB
ap-916	40	15	by	by	ADP
ap-916	40	16	forman	forman	NOUN
ap-916	40	17	[	[	X
ap-916	40	18	9	9	NUM
ap-916	40	19	]	]	PUNCT
ap-916	40	20	for	for	ADP
ap-916	40	21	the	the	DET
ap-916	40	22	free	free	ADJ
ap-916	40	23	laplace	laplace	NOUN
ap-916	40	24	operator	operator	NOUN
ap-916	40	25	in	in	ADP
ap-916	40	26	a	a	DET
ap-916	40	27	two	two	NUM
ap-916	40	28	-	-	PUNCT
ap-916	40	29	dimensional	dimensional	ADJ
ap-916	40	30	disc	disc	NOUN
ap-916	40	31	.	.	PUNCT
ap-916	41	1	however	however	ADV
ap-916	41	2	,	,	PUNCT
ap-916	41	3	it	it	PRON
ap-916	41	4	is	be	AUX
ap-916	41	5	possible	possible	ADJ
ap-916	41	6	to	to	PART
ap-916	41	7	understand	understand	VERB
ap-916	41	8	this	this	DET
ap-916	41	9	divergence	divergence	NOUN
ap-916	41	10	and	and	CCONJ
ap-916	41	11	define	define	VERB
ap-916	41	12	a	a	DET
ap-916	41	13	finite	finite	NOUN
ap-916	41	14	and	and	CCONJ
ap-916	41	15	renormalized	renormalize	VERB
ap-916	41	16	determinant	determinant	ADJ
ap-916	41	17	ratio	ratio	NOUN
ap-916	41	18	for	for	ADP
ap-916	41	19	the	the	DET
ap-916	41	20	radially	radially	ADV
ap-916	41	21	separable	separable	ADJ
ap-916	41	22	partial	partial	ADJ
ap-916	41	23	differential	differential	NOUN
ap-916	41	24	operators	operator	NOUN
ap-916	41	25	(	(	PUNCT
ap-916	41	26	1	1	NUM
ap-916	41	27	)	)	PUNCT
ap-916	41	28	.	.	PUNCT
ap-916	42	1	specifically	specifically	ADV
ap-916	42	2	,	,	PUNCT
ap-916	42	3	we	we	PRON
ap-916	42	4	have	have	AUX
ap-916	42	5	found	find	VERB
ap-916	42	6	[	[	X
ap-916	42	7	1	1	X
ap-916	42	8	]	]	X
ap-916	42	9	the	the	DET
ap-916	42	10	following	follow	VERB
ap-916	42	11	simple	simple	ADJ
ap-916	42	12	expressions	expression	NOUN
ap-916	42	13	,	,	PUNCT
ap-916	42	14	which	which	PRON
ap-916	42	15	generalize	generalize	VERB
ap-916	42	16	(	(	PUNCT
ap-916	42	17	2	2	NUM
ap-916	42	18	)	)	PUNCT
ap-916	42	19	to	to	ADP
ap-916	42	20	higher	high	ADJ
ap-916	42	21	dimensions	dimension	NOUN
ap-916	42	22	:	:	PUNCT
ap-916	42	23	ln	ln	PROPN
ap-916	42	24	det	det	PROPN
ap-916	42	25	[	[	PUNCT
ap-916	42	26	]	]	X
ap-916	42	27	det	det	X
ap-916	42	28	[	[	PUNCT
ap-916	42	29	]	]	X
ap-916	42	30	ln	ln	INTJ
ap-916	42	31	(	(	PUNCT
ap-916	42	32	)	)	PUNCT
ap-916	42	33	(	(	PUNCT
ap-916	42	34	)	)	PUNCT
ap-916	42	35	(	(	PUNCT
ap-916	42	36	)	)	PUNCT
ap-916	42	37	�	�	PROPN
ap-916	42	38	�	�	PROPN
ap-916	42	39	�	�	PROPN
ap-916	42	40	�	�	PROPN
ap-916	42	41	�	�	PROPN
ap-916	42	42	�	�	PROPN
ap-916	42	43	�	�	PROPN
ap-916	42	44	�	�	PROPN
ap-916	42	45	�	�	PROPN
ap-916	42	46	�	�	PROPN
ap-916	42	47	�	�	PROPN
ap-916	42	48	�	�	PROPN
ap-916	42	49	�	�	PROPN
ap-916	42	50	m	m	NOUN
ap-916	42	51	m	m	VERB
ap-916	42	52	d	d	NOUN
ap-916	42	53	2	2	NUM
ap-916	42	54	2	2	NUM
ap-916	42	55	2	2	NUM
ap-916	42	56	0	0	NUM
ap-916	42	57	0	0	NUM
ap-916	42	58	free	free	PROPN
ap-916	42	59	�	�	PROPN
ap-916	42	60	�	�	PROPN
ap-916	42	61	free	free	VERB
ap-916	42	62	free	free	PROPN
ap-916	42	63	d	d	PROPN
ap-916	42	64	(	(	PUNCT
ap-916	42	65	)	)	PUNCT
ap-916	42	66	ln	ln	INTJ
ap-916	42	67	(	(	PUNCT
ap-916	42	68	)	)	PUNCT
ap-916	42	69	(	(	PUNCT
ap-916	42	70	)	)	PUNCT
ap-916	42	71	(	(	PUNCT
ap-916	42	72	)	)	PUNCT
ap-916	42	73	(	(	PUNCT
ap-916	42	74	)	)	PUNCT
ap-916	42	75	�	�	PROPN
ap-916	42	76	�	�	PROPN
ap-916	42	77	�	�	PROPN
ap-916	42	78	�	�	PROPN
ap-916	42	79	�	�	PROPN
ap-916	42	80	�	�	PROPN
ap-916	42	81	�	�	PROPN
ap-916	42	82	�	�	PROPN
ap-916	42	83	�	�	PROPN
ap-916	42	84	�	�	PROPN
ap-916	42	85	�	�	PROPN
ap-916	42	86	�	�	PROPN
ap-916	42	87	�	�	PROPN
ap-916	42	88	�	�	PROPN
ap-916	42	89	�	�	PROPN
ap-916	42	90	�	�	PROPN
ap-916	42	91	�	�	PROPN
ap-916	42	92	2	2	NUM
ap-916	42	93	�	�	PROPN
ap-916	42	94	�	�	PROPN
ap-916	42	95	l	l	NOUN
ap-916	42	96	l	l	NOUN
ap-916	42	97	r	r	NOUN
ap-916	42	98	r	r	NOUN
ap-916	42	99	v	v	NOUN
ap-916	42	100	(	(	PUNCT
ap-916	42	101	)	)	PUNCT
ap-916	42	102	ln	ln	NOUN
ap-916	42	103	r	r	NOUN
ap-916	42	104	l	l	NOUN
ap-916	42	105	r	r	NOUN
ap-916	42	106	r	r	NOUN
ap-916	42	107	v	v	NOUN
ap-916	42	108	r	r	NOUN
ap-916	42	109	l	l	NOUN
ap-916	42	110	0	0	NUM
ap-916	42	111	1	1	NUM
ap-916	42	112	2	2	NUM
ap-916	42	113	�	�	PROPN
ap-916	42	114	�	�	PROPN
ap-916	42	115	�	�	PROPN
ap-916	42	116	�	�	PROPN
ap-916	42	117	�	�	PROPN
ap-916	42	118	�	�	PROPN
ap-916	42	119	�	�	PROPN
ap-916	42	120	�	�	PROPN
ap-916	42	121	�	�	PROPN
ap-916	42	122	�	�	PROPN
ap-916	42	123	�	�	PROPN
ap-916	42	124	�	�	PROPN
ap-916	42	125	�	�	PROPN
ap-916	42	126	�	�	PROPN
ap-916	42	127	�	�	PROPN
ap-916	42	128	�	�	PROPN
ap-916	42	129	�	�	PROPN
ap-916	42	130	�	�	PROPN
ap-916	42	131	�	�	PROPN
ap-916	42	132	�	�	PROPN
ap-916	42	133	�	�	PROPN
ap-916	42	134	�	�	PROPN
ap-916	42	135	�	�	PROPN
ap-916	42	136	�	�	PROPN
ap-916	42	137	�	�	PROPN
ap-916	42	138	�	�	PROPN
ap-916	42	139	�	�	PROPN
ap-916	42	140	�	�	PROPN
ap-916	42	141	�	�	PROPN
ap-916	42	142	�	�	PROPN
ap-916	42	143	�	�	PROPN
ap-916	42	144	2	2	NUM
ap-916	42	145	d	d	PROPN
ap-916	42	146	�	�	PROPN
ap-916	42	147	�	�	PROPN
ap-916	42	148	�	�	PROPN
ap-916	42	149	�	�	PROPN
ap-916	42	150	�	�	PROPN
ap-916	42	151	�	�	PROPN
ap-916	42	152	�	�	PROPN
ap-916	42	153	0	0	NUM
ap-916	42	154	(	(	PUNCT
ap-916	42	155	6	6	NUM
ap-916	42	156	)	)	PUNCT
ap-916	42	157	ln	ln	PROPN
ap-916	42	158	det	det	PROPN
ap-916	42	159	[	[	PUNCT
ap-916	42	160	]	]	X
ap-916	42	161	det	det	X
ap-916	42	162	[	[	PUNCT
ap-916	42	163	]	]	X
ap-916	42	164	(	(	PUNCT
ap-916	42	165	)	)	PUNCT
ap-916	42	166	ln	ln	INTJ
ap-916	42	167	(	(	PUNCT
ap-916	42	168	(	(	PUNCT
ap-916	42	169	)	)	PUNCT
ap-916	42	170	�	�	PROPN
ap-916	42	171	�	�	PROPN
ap-916	42	172	�	�	PROPN
ap-916	42	173	�	�	PROPN
ap-916	42	174	�	�	PROPN
ap-916	42	175	�	�	PROPN
ap-916	42	176	�	�	PROPN
ap-916	42	177	�	�	PROPN
ap-916	42	178	�	�	PROPN
ap-916	42	179	�	�	PROPN
ap-916	42	180	�	�	PROPN
ap-916	42	181	�	�	PROPN
ap-916	42	182	�	�	PROPN
ap-916	42	183	m	m	NOUN
ap-916	42	184	m	m	VERB
ap-916	42	185	l	l	NOUN
ap-916	42	186	d	d	X
ap-916	42	187	l	l	NOUN
ap-916	42	188	2	2	NUM
ap-916	42	189	2	2	NUM
ap-916	42	190	3	3	NUM
ap-916	42	191	2	2	NUM
ap-916	42	192	1	1	NUM
ap-916	42	193	free	free	ADJ
ap-916	42	194	�	�	PROPN
ap-916	42	195	�	�	PROPN
ap-916	42	196	�	�	PROPN
ap-916	42	197	�	�	PROPN
ap-916	42	198	�	�	PROPN
ap-916	42	199	�	�	PROPN
ap-916	42	200	�	�	PROPN
ap-916	42	201	�	�	PROPN
ap-916	42	202	�	�	PROPN
ap-916	42	203	�	�	PROPN
ap-916	42	204	�	�	PROPN
ap-916	42	205	�	�	PROPN
ap-916	42	206	�	�	PROPN
ap-916	42	207	�	�	PROPN
ap-916	42	208	�	�	PROPN
ap-916	42	209	�	�	PROPN
ap-916	42	210	�	�	PROPN
ap-916	42	211	�	�	PROPN
ap-916	42	212	�	�	PROPN
ap-916	42	213	�	�	PROPN
ap-916	42	214	�	�	PROPN
ap-916	42	215	�	�	PROPN
ap-916	42	216	�	�	PROPN
ap-916	42	217	�	�	PROPN
ap-916	42	218	�	�	PROPN
ap-916	42	219	)	)	PUNCT
ap-916	42	220	(	(	PUNCT
ap-916	42	221	)	)	PUNCT
ap-916	42	222	(	(	PUNCT
ap-916	42	223	)	)	PUNCT
ap-916	42	224	(	(	PUNCT
ap-916	42	225	)	)	PUNCT
ap-916	42	226	�	�	PROPN
ap-916	42	227	l	l	NOUN
ap-916	42	228	r	r	NOUN
ap-916	42	229	r	r	NOUN
ap-916	42	230	v	v	NOUN
ap-916	42	231	r	r	NOUN
ap-916	42	232	l	l	NOUN
ap-916	42	233	free	free	ADJ
ap-916	42	234	d	d	PROPN
ap-916	42	235	2	2	NUM
ap-916	42	236	0	0	NUM
ap-916	42	237	1	1	NUM
ap-916	42	238	2	2	NUM
ap-916	42	239	�	�	PROPN
ap-916	42	240	�	�	PROPN
ap-916	42	241	�	�	PROPN
ap-916	42	242	�	�	PROPN
ap-916	42	243	�	�	PROPN
ap-916	42	244	�	�	PROPN
ap-916	42	245	�	�	PROPN
ap-916	42	246	�	�	PROPN
ap-916	42	247	�	�	PROPN
ap-916	42	248	�	�	PROPN
ap-916	42	249	�	�	PROPN
ap-916	42	250	�	�	PROPN
ap-916	42	251	�	�	PROPN
ap-916	42	252	�	�	PROPN
ap-916	42	253	l	l	NOUN
ap-916	42	254	0	0	NUM
ap-916	43	1	(	(	PUNCT
ap-916	43	2	7	7	NUM
ap-916	43	3	)	)	PUNCT
ap-916	43	4	ln	ln	ADJ
ap-916	43	5	det	det	PROPN
ap-916	43	6	[	[	PUNCT
ap-916	43	7	]	]	X
ap-916	43	8	det	det	X
ap-916	43	9	[	[	PUNCT
ap-916	43	10	]	]	X
ap-916	43	11	(	(	PUNCT
ap-916	43	12	)	)	PUNCT
ap-916	43	13	ln	ln	INTJ
ap-916	43	14	(	(	PUNCT
ap-916	43	15	(	(	PUNCT
ap-916	43	16	)	)	PUNCT
ap-916	43	17	�	�	PROPN
ap-916	43	18	�	�	PROPN
ap-916	43	19	�	�	PROPN
ap-916	43	20	�	�	PROPN
ap-916	43	21	�	�	PROPN
ap-916	43	22	�	�	PROPN
ap-916	43	23	�	�	PROPN
ap-916	43	24	�	�	PROPN
ap-916	43	25	�	�	PROPN
ap-916	43	26	�	�	PROPN
ap-916	43	27	�	�	PROPN
ap-916	43	28	�	�	PROPN
ap-916	43	29	�	�	PROPN
ap-916	43	30	m	m	NOUN
ap-916	43	31	m	m	VERB
ap-916	43	32	l	l	NOUN
ap-916	43	33	d	d	X
ap-916	43	34	l	l	NOUN
ap-916	43	35	2	2	NUM
ap-916	43	36	2	2	NUM
ap-916	43	37	4	4	NUM
ap-916	43	38	21	21	NUM
ap-916	43	39	free	free	ADJ
ap-916	43	40	�	�	PROPN
ap-916	43	41	!	!	PUNCT
ap-916	43	42	"	"	PUNCT
ap-916	44	1	�	�	PROPN
ap-916	44	2	�	�	PROPN
ap-916	44	3	�	�	PROPN
ap-916	44	4	�	�	PROPN
ap-916	44	5	�	�	PROPN
ap-916	44	6	�	�	PROPN
ap-916	44	7	�	�	PROPN
ap-916	44	8	�	�	PROPN
ap-916	44	9	�	�	PROPN
ap-916	44	10	�	�	PROPN
ap-916	44	11	�	�	PROPN
ap-916	44	12	�	�	PROPN
ap-916	44	13	�	�	PROPN
ap-916	44	14	�	�	PROPN
ap-916	44	15	�	�	PROPN
ap-916	44	16	)	)	PUNCT
ap-916	44	17	(	(	PUNCT
ap-916	44	18	)	)	PUNCT
ap-916	44	19	(	(	PUNCT
ap-916	44	20	)	)	PUNCT
ap-916	44	21	(	(	PUNCT
ap-916	44	22	(	(	PUNCT
ap-916	44	23	)	)	PUNCT
ap-916	44	24	�	�	PROPN
ap-916	44	25	l	l	NOUN
ap-916	44	26	r	r	NOUN
ap-916	44	27	r	r	NOUN
ap-916	44	28	v	v	NOUN
ap-916	44	29	r	r	NOUN
ap-916	44	30	l	l	NOUN
ap-916	44	31	r	r	NOUN
ap-916	44	32	r	r	NOUN
ap-916	44	33	v	v	NOUN
ap-916	44	34	v	v	NOUN
ap-916	44	35	m	m	NOUN
ap-916	44	36	free	free	ADJ
ap-916	44	37	d	d	PROPN
ap-916	44	38	2	2	NUM
ap-916	44	39	d	d	NOUN
ap-916	44	40	0	0	NUM
ap-916	44	41	3	3	NUM
ap-916	44	42	2	2	NUM
ap-916	44	43	1	1	NUM
ap-916	44	44	2	2	NUM
ap-916	44	45	!	!	PUNCT
ap-916	44	46	"	"	PUNCT
ap-916	45	1	)	)	PUNCT
ap-916	45	2	(	(	PUNCT
ap-916	45	3	)	)	PUNCT
ap-916	45	4	ln	ln	X
ap-916	45	5	0	0	NUM
ap-916	45	6	3	3	NUM
ap-916	45	7	0	0	NUM
ap-916	45	8	3	3	NUM
ap-916	45	9	2	2	NUM
ap-916	45	10	1	1	NUM
ap-916	45	11	1	1	NUM
ap-916	45	12	8	8	NUM
ap-916	45	13	2	2	NUM
ap-916	45	14	�	�	PROPN
ap-916	45	15	�	�	PROPN
ap-916	45	16	�	�	PROPN
ap-916	45	17	�	�	PROPN
ap-916	45	18	�	�	PROPN
ap-916	45	19	�	�	PROPN
ap-916	45	20	�	�	PROPN
ap-916	45	21	�	�	PROPN
ap-916	45	22	�	�	PROPN
ap-916	45	23	�	�	PROPN
ap-916	45	24	�	�	PROPN
ap-916	45	25	�	�	PROPN
ap-916	45	26	�	�	PROPN
ap-916	45	27	�	�	PROPN
ap-916	45	28	�	�	PROPN
ap-916	45	29	�	�	PROPN
ap-916	45	30	�	�	PROPN
ap-916	45	31	�	�	PROPN
ap-916	45	32	�	�	PROPN
ap-916	45	33	�	�	PROPN
ap-916	45	34	�	�	PROPN
ap-916	45	35	�	�	PROPN
ap-916	45	36	�	�	PROPN
ap-916	45	37	�	�	PROPN
ap-916	45	38	�	�	PROPN
ap-916	45	39	�	�	PROPN
ap-916	45	40	8	8	NUM
ap-916	45	41	d	d	NOUN
ap-916	45	42	l	l	NOUN
ap-916	45	43	r	r	NOUN
ap-916	45	44	r	r	NOUN
ap-916	45	45	v	v	NOUN
ap-916	45	46	v	v	NOUN
ap-916	45	47	m	m	NOUN
ap-916	45	48	l	l	NOUN
ap-916	45	49	�	�	PROPN
ap-916	45	50	r	r	NOUN
ap-916	45	51	2	2	NUM
ap-916	45	52	1	1	NUM
ap-916	45	53	0	0	NUM
ap-916	45	54	�	�	PROPN
ap-916	45	55	�	�	PROPN
ap-916	45	56	�	�	PROPN
ap-916	45	57	�	�	PROPN
ap-916	45	58	�	�	PROPN
ap-916	45	59	�	�	PROPN
ap-916	45	60	�	�	PROPN
ap-916	45	61	�	�	PROPN
ap-916	45	62	�	�	PROPN
ap-916	45	63	�	�	PROPN
ap-916	45	64	�	�	PROPN
ap-916	45	65	�	�	PROPN
ap-916	45	66	�	�	PROPN
ap-916	45	67	�	�	PROPN
ap-916	45	68	.	.	PUNCT
ap-916	46	1	(	(	PUNCT
ap-916	46	2	8)	8)	NUM
ap-916	46	3	here	here	ADV
ap-916	46	4	is	be	AUX
ap-916	46	5	euler	euler	NOUN
ap-916	46	6	’s	’s	NOUN
ap-916	46	7	constant	constant	ADJ
ap-916	46	8	,	,	PUNCT
ap-916	46	9	and	and	CCONJ
ap-916	46	10	�	�	PROPN
ap-916	46	11	is	be	AUX
ap-916	46	12	a	a	DET
ap-916	46	13	renormalization	renormalization	NOUN
ap-916	46	14	scale	scale	NOUN
ap-916	46	15	(	(	PUNCT
ap-916	46	16	defined	define	VERB
ap-916	46	17	in	in	ADP
ap-916	46	18	the	the	DET
ap-916	46	19	next	next	ADJ
ap-916	46	20	section	section	NOUN
ap-916	46	21	)	)	PUNCT
ap-916	46	22	,	,	PUNCT
ap-916	46	23	which	which	PRON
ap-916	46	24	is	be	AUX
ap-916	46	25	essential	essential	ADJ
ap-916	46	26	for	for	ADP
ap-916	46	27	physical	physical	ADJ
ap-916	46	28	applications	application	NOUN
ap-916	46	29	,	,	PUNCT
ap-916	46	30	and	and	CCONJ
ap-916	46	31	which	which	PRON
ap-916	46	32	arises	arise	VERB
ap-916	46	33	naturally	naturally	ADV
ap-916	46	34	in	in	ADP
ap-916	46	35	even	even	ADV
ap-916	46	36	dimensions	dimension	NOUN
ap-916	46	37	.	.	PUNCT
ap-916	47	1	a	a	DET
ap-916	47	2	conventional	conventional	ADJ
ap-916	47	3	renormalization	renormalization	NOUN
ap-916	47	4	choice	choice	NOUN
ap-916	47	5	is	be	AUX
ap-916	47	6	to	to	PART
ap-916	47	7	take	take	VERB
ap-916	47	8	�	�	PROPN
ap-916	47	9	�	�	PROPN
ap-916	47	10	m	m	PRON
ap-916	47	11	in	in	ADP
ap-916	47	12	(	(	PUNCT
ap-916	47	13	6)–(8	6)–(8	NUM
ap-916	47	14	)	)	PUNCT
ap-916	47	15	.	.	PUNCT
ap-916	48	1	in	in	ADP
ap-916	48	2	each	each	PRON
ap-916	48	3	of	of	ADP
ap-916	48	4	(	(	PUNCT
ap-916	48	5	6)–(8	6)–(8	NUM
ap-916	48	6	)	)	PUNCT
ap-916	48	7	,	,	PUNCT
ap-916	48	8	the	the	DET
ap-916	48	9	sum	sum	NOUN
ap-916	48	10	over	over	ADP
ap-916	48	11	l	l	NOUN
ap-916	48	12	is	be	AUX
ap-916	48	13	convergent	convergent	ADJ
ap-916	48	14	once	once	SCONJ
ap-916	48	15	the	the	DET
ap-916	48	16	indicated	indicate	VERB
ap-916	48	17	subtractions	subtraction	NOUN
ap-916	48	18	are	be	AUX
ap-916	48	19	made	make	VERB
ap-916	48	20	.	.	PUNCT
ap-916	49	1	the	the	DET
ap-916	49	2	function	function	PROPN
ap-916	49	3	�	�	PROPN
ap-916	49	4	(	(	PUNCT
ap-916	49	5	l)(r	l)(r	PROPN
ap-916	49	6	)	)	PUNCT
ap-916	49	7	is	be	AUX
ap-916	49	8	the	the	DET
ap-916	49	9	solution	solution	NOUN
ap-916	49	10	to	to	ADP
ap-916	49	11	the	the	DET
ap-916	49	12	radial	radial	ADJ
ap-916	49	13	equation	equation	NOUN
ap-916	49	14	[	[	PUNCT
ap-916	49	15	]	]	X
ap-916	49	16	(	(	PUNCT
ap-916	49	17	)	)	PUNCT
ap-916	49	18	(	(	PUNCT
ap-916	49	19	)	)	PUNCT
ap-916	49	20	~	~	PUNCT
ap-916	49	21	,	,	PUNCT
ap-916	49	22	.	.	PUNCT
ap-916	50	1	(	(	PUNCT
ap-916	50	2	)	)	PUNCT
ap-916	50	3	(	(	PUNCT
ap-916	50	4	)	)	PUNCT
ap-916	50	5	(	(	PUNCT
ap-916	50	6	)	)	PUNCT
ap-916	50	7	�	�	PROPN
ap-916	50	8	(	(	PUNCT
ap-916	50	9	)	)	PUNCT
ap-916	50	10	l	l	NOUN
ap-916	50	11	l	l	NOUN
ap-916	50	12	l	l	NOUN
ap-916	50	13	l	l	PUNCT
ap-916	51	1	d	d	NOUN
ap-916	51	2	m	m	NOUN
ap-916	51	3	r	r	NOUN
ap-916	51	4	r	r	NOUN
ap-916	51	5	r	r	NOUN
ap-916	51	6	r	r	NOUN
ap-916	51	7	�	�	PROPN
ap-916	51	8	�	�	PROPN
ap-916	51	9	#	#	PROPN
ap-916	51	10	�	�	PROPN
ap-916	51	11	�	�	PROPN
ap-916	51	12	2	2	NUM
ap-916	51	13	1	1	NUM
ap-916	51	14	2	2	NUM
ap-916	51	15	0	0	NUM
ap-916	51	16	0	0	NUM
ap-916	51	17	�	�	PROPN
ap-916	51	18	�	�	PROPN
ap-916	51	19	as	as	ADP
ap-916	51	20	(	(	PUNCT
ap-916	51	21	9	9	NUM
ap-916	51	22	)	)	PUNCT
ap-916	51	23	the	the	DET
ap-916	51	24	function	function	PROPN
ap-916	51	25	�	�	PROPN
ap-916	51	26	(	(	PUNCT
ap-916	51	27	)	)	PUNCT
ap-916	51	28	(	(	PUNCT
ap-916	51	29	)	)	PUNCT
ap-916	51	30	l	l	NOUN
ap-916	51	31	rfree	rfree	NOUN
ap-916	51	32	is	be	AUX
ap-916	51	33	defined	define	VERB
ap-916	51	34	similarly	similarly	ADV
ap-916	51	35	,	,	PUNCT
ap-916	51	36	with	with	ADP
ap-916	51	37	the	the	DET
ap-916	51	38	same	same	ADJ
ap-916	51	39	behavior	behavior	NOUN
ap-916	51	40	as	as	ADP
ap-916	51	41	r	r	NOUN
ap-916	51	42	#	#	NOUN
ap-916	51	43	0	0	NUM
ap-916	51	44	,	,	PUNCT
ap-916	51	45	in	in	ADP
ap-916	51	46	terms	term	NOUN
ap-916	51	47	of	of	ADP
ap-916	51	48	the	the	DET
ap-916	51	49	operator	operator	NOUN
ap-916	51	50	[	[	PUNCT
ap-916	51	51	]	]	X
ap-916	51	52	�	�	PROPN
ap-916	51	53	(	(	PUNCT
ap-916	51	54	)	)	PUNCT
ap-916	51	55	free	free	ADJ
ap-916	51	56	l	l	PROPN
ap-916	51	57	m	m	PROPN
ap-916	51	58	�	�	PROPN
ap-916	51	59	2	2	NUM
ap-916	51	60	.	.	PUNCT
ap-916	52	1	thus	thus	ADV
ap-916	52	2	,	,	PUNCT
ap-916	52	3	in	in	ADP
ap-916	52	4	d	d	PROPN
ap-916	52	5	dimensions	dimension	NOUN
ap-916	52	6	,	,	PUNCT
ap-916	52	7	�	�	PROPN
ap-916	52	8	(	(	PUNCT
ap-916	52	9	)	)	PUNCT
ap-916	52	10	(	(	PUNCT
ap-916	52	11	)	)	PUNCT
ap-916	52	12	l	l	NOUN
ap-916	52	13	rfree	rfree	NOUN
ap-916	52	14	is	be	AUX
ap-916	52	15	expressed	express	VERB
ap-916	52	16	as	as	ADP
ap-916	52	17	a	a	DET
ap-916	52	18	bessel	bessel	ADJ
ap-916	52	19	function	function	NOUN
ap-916	52	20	:	:	PUNCT
ap-916	52	21	�	�	PROPN
ap-916	52	22	(	(	PUNCT
ap-916	52	23	)	)	PUNCT
ap-916	52	24	(	(	PUNCT
ap-916	52	25	)	)	PUNCT
ap-916	52	26	(	(	PUNCT
ap-916	52	27	l	l	NOUN
ap-916	52	28	l	l	PUNCT
ap-916	53	1	d	d	X
ap-916	53	2	l	l	PROPN
ap-916	53	3	dr	dr	PROPN
ap-916	53	4	m	m	PROPN
ap-916	53	5	l	l	NOUN
ap-916	54	1	d	d	NOUN
ap-916	54	2	r	r	NOUN
ap-916	54	3	i	i	PRON
ap-916	54	4	mrfree	mrfree	VERB
ap-916	54	5	�	�	PROPN
ap-916	54	6	�	�	PROPN
ap-916	54	7	�	�	PROPN
ap-916	54	8	�	�	PROPN
ap-916	54	9	�	�	PROPN
ap-916	54	10	�	�	PROPN
ap-916	54	11	�	�	PROPN
ap-916	54	12	�	�	PROPN
ap-916	54	13	�	�	PROPN
ap-916	54	14	�	�	PROPN
ap-916	54	15	�	�	PROPN
ap-916	54	16	�	�	PROPN
ap-916	54	17	�	�	PROPN
ap-916	54	18	�	�	PROPN
ap-916	54	19	�	�	PROPN
ap-916	54	20	�	�	PROPN
ap-916	54	21	2	2	NUM
ap-916	54	22	2	2	NUM
ap-916	54	23	2	2	NUM
ap-916	54	24	1	1	NUM
ap-916	54	25	1	1	NUM
ap-916	54	26	2	2	NUM
ap-916	54	27	2	2	NUM
ap-916	54	28	1	1	NUM
ap-916	54	29	)	)	PUNCT
ap-916	54	30	.	.	PUNCT
ap-916	55	1	(	(	PUNCT
ap-916	55	2	10	10	NUM
ap-916	55	3	)	)	PUNCT
ap-916	55	4	notice	notice	VERB
ap-916	55	5	that	that	SCONJ
ap-916	55	6	the	the	DET
ap-916	55	7	results	result	NOUN
ap-916	55	8	(	(	PUNCT
ap-916	55	9	6)–(8	6)–(8	NUM
ap-916	55	10	)	)	PUNCT
ap-916	55	11	state	state	NOUN
ap-916	55	12	once	once	ADV
ap-916	55	13	again	again	ADV
ap-916	55	14	that	that	SCONJ
ap-916	55	15	the	the	DET
ap-916	55	16	determinant	determinant	ADJ
ap-916	55	17	is	be	AUX
ap-916	55	18	determined	determine	VERB
ap-916	55	19	by	by	ADP
ap-916	55	20	the	the	DET
ap-916	55	21	boundary	boundary	ADJ
ap-916	55	22	values	value	NOUN
ap-916	55	23	of	of	ADP
ap-916	55	24	solutions	solution	NOUN
ap-916	55	25	of	of	ADP
ap-916	55	26	[	[	PUNCT
ap-916	55	27	]	]	X
ap-916	55	28	�	�	PROPN
ap-916	55	29	�	�	PROPN
ap-916	55	30	�	�	PROPN
ap-916	55	31	m2	m2	PROPN
ap-916	55	32	0	0	NUM
ap-916	55	33	�	�	PROPN
ap-916	55	34	,	,	PUNCT
ap-916	55	35	with	with	ADP
ap-916	55	36	the	the	DET
ap-916	55	37	only	only	ADJ
ap-916	55	38	additional	additional	ADJ
ap-916	55	39	information	information	NOUN
ap-916	55	40	being	be	AUX
ap-916	55	41	a	a	DET
ap-916	55	42	finite	finite	ADJ
ap-916	55	43	number	number	NOUN
ap-916	55	44	of	of	ADP
ap-916	55	45	integrals	integral	NOUN
ap-916	55	46	involving	involve	VERB
ap-916	55	47	the	the	DET
ap-916	55	48	potential	potential	ADJ
ap-916	55	49	v(r	v(r	NOUN
ap-916	55	50	)	)	PUNCT
ap-916	55	51	.	.	PUNCT
ap-916	56	1	we	we	PRON
ap-916	56	2	also	also	ADV
ap-916	56	3	stress	stress	VERB
ap-916	56	4	the	the	DET
ap-916	56	5	computational	computational	ADJ
ap-916	56	6	simplicity	simplicity	NOUN
ap-916	56	7	of	of	ADP
ap-916	56	8	(	(	PUNCT
ap-916	56	9	6)–(8	6)–(8	NUM
ap-916	56	10	)	)	PUNCT
ap-916	56	11	,	,	PUNCT
ap-916	56	12	as	as	SCONJ
ap-916	56	13	the	the	DET
ap-916	56	14	initial	initial	ADJ
ap-916	56	15	value	value	NOUN
ap-916	56	16	problem	problem	NOUN
ap-916	56	17	(	(	PUNCT
ap-916	56	18	9	9	NUM
ap-916	56	19	)	)	PUNCT
ap-916	56	20	is	be	AUX
ap-916	56	21	trivial	trivial	ADJ
ap-916	56	22	to	to	PART
ap-916	56	23	implement	implement	VERB
ap-916	56	24	numerically	numerically	ADV
ap-916	56	25	.	.	PUNCT
ap-916	57	1	2	2	NUM
ap-916	57	2	zeta	zeta	NOUN
ap-916	57	3	function	function	NOUN
ap-916	57	4	formalism	formalism	NOUN
ap-916	57	5	the	the	DET
ap-916	57	6	functional	functional	ADJ
ap-916	57	7	determinant	determinant	NOUN
ap-916	57	8	can	can	AUX
ap-916	57	9	be	be	AUX
ap-916	57	10	defined	define	VERB
ap-916	57	11	in	in	ADP
ap-916	57	12	terms	term	NOUN
ap-916	57	13	of	of	ADP
ap-916	57	14	a	a	DET
ap-916	57	15	zeta	zeta	NOUN
ap-916	57	16	function	function	NOUN
ap-916	57	17	[	[	X
ap-916	57	18	1	1	NUM
ap-916	57	19	,	,	PUNCT
ap-916	57	20	2	2	NUM
ap-916	57	21	,	,	PUNCT
ap-916	57	22	5	5	NUM
ap-916	57	23	]	]	PUNCT
ap-916	57	24	for	for	ADP
ap-916	57	25	the	the	DET
ap-916	57	26	operator	operator	NOUN
ap-916	57	27	�	�	PROPN
ap-916	57	28	.	.	PUNCT
ap-916	58	1	for	for	ADP
ap-916	58	2	dimensional	dimensional	ADJ
ap-916	58	3	reasons	reason	NOUN
ap-916	58	4	,	,	PUNCT
ap-916	58	5	we	we	PRON
ap-916	58	6	define	define	VERB
ap-916	58	7	�	�	PROPN
ap-916	58	8	�	�	PROPN
ap-916	58	9	�	�	PROPN
ap-916	58	10	�	�	PROPN
ap-916	58	11	�	�	PROPN
ap-916	58	12	�	�	PROPN
ap-916	58	13	�	�	PROPN
ap-916	58	14	[	[	PUNCT
ap-916	58	15	]	]	X
ap-916	58	16	[	[	PUNCT
ap-916	58	17	]	]	X
ap-916	58	18	(	(	PUNCT
ap-916	58	19	)	)	PUNCT
ap-916	58	20	(	(	PUNCT
ap-916	58	21	)	)	PUNCT
ap-916	58	22	(	(	PUNCT
ap-916	58	23	)	)	PUNCT
ap-916	58	24	�	�	PROPN
ap-916	58	25	�	�	PROPN
ap-916	58	26	�	�	PROPN
ap-916	58	27	�	�	PROPN
ap-916	58	28	�	�	PROPN
ap-916	58	29	�	�	PROPN
ap-916	58	30	�	�	PROPN
ap-916	58	31	�	�	PROPN
ap-916	58	32	�	�	PROPN
ap-916	58	33	m	m	PROPN
ap-916	58	34	s	s	NOUN
ap-916	58	35	m	m	NOUN
ap-916	58	36	s	s	NOUN
ap-916	58	37	ss	ss	NOUN
ap-916	58	38	s	s	NOUN
ap-916	58	39	m2	m2	PROPN
ap-916	58	40	2	2	NUM
ap-916	58	41	2	2	NUM
ap-916	58	42	2	2	NUM
ap-916	58	43	2	2	NUM
ap-916	58	44	2	2	NUM
ap-916	58	45	,	,	PUNCT
ap-916	58	46	(	(	PUNCT
ap-916	58	47	11	11	NUM
ap-916	58	48	)	)	PUNCT
ap-916	58	49	where	where	SCONJ
ap-916	58	50	the	the	DET
ap-916	58	51	sum	sum	NOUN
ap-916	58	52	is	be	AUX
ap-916	58	53	over	over	ADP
ap-916	58	54	the	the	DET
ap-916	58	55	spectrum	spectrum	NOUN
ap-916	58	56	of	of	ADP
ap-916	58	57	�	�	PROPN
ap-916	58	58	,	,	PUNCT
ap-916	58	59	and	and	CCONJ
ap-916	58	60	�	�	PROPN
ap-916	58	61	is	be	AUX
ap-916	58	62	an	an	DET
ap-916	58	63	arbitrary	arbitrary	ADJ
ap-916	58	64	parameter	parameter	NOUN
ap-916	58	65	with	with	ADP
ap-916	58	66	dimension	dimension	NOUN
ap-916	58	67	of	of	ADP
ap-916	58	68	a	a	DET
ap-916	58	69	mass	mass	NOUN
ap-916	58	70	.	.	PUNCT
ap-916	59	1	physically	physically	ADV
ap-916	59	2	,	,	PUNCT
ap-916	59	3	�	�	PROPN
ap-916	59	4	plays	play	VERB
ap-916	59	5	the	the	DET
ap-916	59	6	role	role	NOUN
ap-916	59	7	of	of	ADP
ap-916	59	8	a	a	DET
ap-916	59	9	renormalization	renormalization	NOUN
ap-916	59	10	scale	scale	NOUN
ap-916	59	11	.	.	PUNCT
ap-916	60	1	then	then	ADV
ap-916	60	2	the	the	DET
ap-916	60	3	logarithm	logarithm	NOUN
ap-916	60	4	of	of	ADP
ap-916	60	5	the	the	DET
ap-916	60	6	determinant	determinant	ADJ
ap-916	60	7	is	be	AUX
ap-916	60	8	defined	define	VERB
ap-916	60	9	as	as	ADP
ap-916	60	10	[	[	X
ap-916	60	11	1	1	NUM
ap-916	60	12	,	,	PUNCT
ap-916	60	13	2	2	NUM
ap-916	60	14	,	,	PUNCT
ap-916	60	15	5	5	NUM
ap-916	60	16	]	]	PUNCT
ap-916	60	17	lndet	lndet	NOUN
ap-916	60	18	[	[	PUNCT
ap-916	60	19	]	]	X
ap-916	60	20	(	(	PUNCT
ap-916	60	21	)	)	PUNCT
ap-916	60	22	ln	ln	ADJ
ap-916	60	23	(	(	PUNCT
ap-916	60	24	)	)	PUNCT
ap-916	60	25	(	(	PUNCT
ap-916	60	26	)	)	PUNCT
ap-916	61	1	[	[	PUNCT
ap-916	61	2	]	]	X
ap-916	61	3	[	[	PUNCT
ap-916	61	4	]	]	X
ap-916	61	5	[	[	PUNCT
ap-916	61	6	�	�	PROPN
ap-916	61	7	�	�	PROPN
ap-916	61	8	�	�	PROPN
ap-916	61	9	�	�	PROPN
ap-916	61	10	�	�	PROPN
ap-916	61	11	�	�	PROPN
ap-916	61	12	�	�	PROPN
ap-916	61	13	�	�	PROPN
ap-916	61	14	�	�	PROPN
ap-916	61	15	�	�	PROPN
ap-916	61	16	�	�	PROPN
ap-916	61	17	�	�	PROPN
ap-916	61	18	�	�	PROPN
ap-916	61	19	�	�	PROPN
ap-916	61	20	m	m	VERB
ap-916	61	21	m	m	VERB
ap-916	61	22	m	m	VERB
ap-916	61	23	2	2	NUM
ap-916	61	24	2	2	NUM
ap-916	61	25	2	2	NUM
ap-916	61	26	2	2	NUM
ap-916	61	27	2	2	NUM
ap-916	61	28	0	0	NUM
ap-916	61	29	0	0	NUM
ap-916	61	30	�	�	PROPN
ap-916	61	31	�	�	PROPN
ap-916	61	32	�	�	PROPN
ap-916	61	33	�	�	PROPN
ap-916	61	34	�	�	PROPN
ap-916	61	35	m2	m2	PROPN
ap-916	61	36	0	0	PROPN
ap-916	61	37	]	]	X
ap-916	61	38	(	(	PUNCT
ap-916	61	39	)	)	PUNCT
ap-916	61	40	.	.	PUNCT
ap-916	62	1	(	(	PUNCT
ap-916	62	2	12	12	NUM
ap-916	62	3	)	)	PUNCT
ap-916	62	4	to	to	PART
ap-916	62	5	compute	compute	VERB
ap-916	62	6	the	the	DET
ap-916	62	7	determinant	determinant	ADJ
ap-916	62	8	ratio	ratio	NOUN
ap-916	62	9	,	,	PUNCT
ap-916	62	10	we	we	PRON
ap-916	62	11	define	define	VERB
ap-916	62	12	the	the	DET
ap-916	62	13	zeta	zeta	NOUN
ap-916	62	14	function	function	NOUN
ap-916	62	15	difference	difference	NOUN
ap-916	62	16	�	�	PROPN
ap-916	62	17	�	�	PROPN
ap-916	62	18	�	�	PROPN
ap-916	62	19	(	(	PUNCT
ap-916	62	20	)	)	PUNCT
ap-916	62	21	(	(	PUNCT
ap-916	62	22	)	)	PUNCT
ap-916	62	23	(	(	PUNCT
ap-916	62	24	)	)	PUNCT
ap-916	62	25	[	[	PUNCT
ap-916	62	26	]	]	X
ap-916	62	27	[	[	PUNCT
ap-916	62	28	]	]	X
ap-916	62	29	s	s	X
ap-916	62	30	s	s	X
ap-916	62	31	sm	sm	PROPN
ap-916	62	32	m	m	PROPN
ap-916	62	33	�	�	PROPN
ap-916	62	34	�	�	PROPN
ap-916	62	35	�	�	PROPN
ap-916	62	36	�	�	PROPN
ap-916	62	37	�	�	PROPN
ap-916	62	38	2	2	NUM
ap-916	62	39	2free	2free	NUM
ap-916	62	40	.	.	PUNCT
ap-916	63	1	(	(	PUNCT
ap-916	63	2	13	13	NUM
ap-916	63	3	)	)	PUNCT
ap-916	63	4	thus	thus	ADV
ap-916	63	5	we	we	PRON
ap-916	63	6	need	need	VERB
ap-916	63	7	to	to	PART
ap-916	63	8	compute	compute	VERB
ap-916	63	9	the	the	DET
ap-916	63	10	zeta	zeta	NOUN
ap-916	63	11	function	function	NOUN
ap-916	63	12	and	and	CCONJ
ap-916	63	13	its	its	PRON
ap-916	63	14	derivative	derivative	NOUN
ap-916	63	15	,	,	PUNCT
ap-916	63	16	each	each	PRON
ap-916	63	17	evaluated	evaluate	VERB
ap-916	63	18	at	at	ADP
ap-916	63	19	s	s	PROPN
ap-916	63	20	�	�	PROPN
ap-916	63	21	0	0	NUM
ap-916	63	22	.	.	PUNCT
ap-916	64	1	in	in	ADP
ap-916	64	2	general	general	ADJ
ap-916	64	3	,	,	PUNCT
ap-916	64	4	the	the	DET
ap-916	64	5	zeta	zeta	NOUN
ap-916	64	6	function	function	NOUN
ap-916	64	7	at	at	ADP
ap-916	64	8	s	s	PROPN
ap-916	64	9	�	�	PROPN
ap-916	64	10	0	0	NUM
ap-916	64	11	is	be	AUX
ap-916	64	12	related	relate	VERB
ap-916	64	13	to	to	ADP
ap-916	64	14	the	the	DET
ap-916	64	15	heat	heat	NOUN
ap-916	64	16	kernel	kernel	PROPN
ap-916	64	17	coefficient	coefficient	PROPN
ap-916	64	18	,	,	PUNCT
ap-916	64	19	ad/2	ad/2	NOUN
ap-916	64	20	(	(	PUNCT
ap-916	64	21	�	�	PROPN
ap-916	64	22	)	)	PUNCT
ap-916	64	23	,	,	PUNCT
ap-916	64	24	associated	associate	VERB
ap-916	64	25	with	with	ADP
ap-916	64	26	the	the	DET
ap-916	64	27	operator	operator	NOUN
ap-916	64	28	�	�	PROPN
ap-916	65	1	[	[	X
ap-916	65	2	6	6	NUM
ap-916	65	3	]	]	X
ap-916	65	4	:	:	PUNCT
ap-916	65	5	�	�	PROPN
ap-916	65	6	�	�	PROPN
ap-916	65	7	�	�	PROPN
ap-916	65	8	(	(	PUNCT
ap-916	65	9	)	)	PUNCT
ap-916	65	10	(	(	PUNCT
ap-916	65	11	)	)	PUNCT
ap-916	65	12	0	0	NUM
ap-916	65	13	2	2	NUM
ap-916	65	14	�	�	PROPN
ap-916	65	15	ad	ad	NOUN
ap-916	65	16	.	.	PUNCT
ap-916	66	1	for	for	ADP
ap-916	66	2	the	the	DET
ap-916	66	3	operator	operator	NOUN
ap-916	66	4	�	�	PROPN
ap-916	66	5	�	�	PROPN
ap-916	66	6	�	�	PROPN
ap-916	66	7	�	�	PROPN
ap-916	66	8	�	�	PROPN
ap-916	66	9	e	e	PROPN
ap-916	66	10	,	,	PUNCT
ap-916	66	11	these	these	DET
ap-916	66	12	heat	heat	NOUN
ap-916	66	13	kernel	kernel	NOUN
ap-916	66	14	coefficients	coefficient	NOUN
ap-916	66	15	are	be	AUX
ap-916	66	16	known	know	VERB
ap-916	66	17	[	[	PUNCT
ap-916	66	18	6	6	NUM
ap-916	66	19	]	]	PUNCT
ap-916	66	20	,	,	PUNCT
ap-916	66	21	and	and	CCONJ
ap-916	66	22	we	we	PRON
ap-916	66	23	find	find	VERB
ap-916	66	24	the	the	DET
ap-916	66	25	standard	standard	ADJ
ap-916	66	26	results	result	NOUN
ap-916	66	27	�	�	PROPN
ap-916	66	28	(	(	PUNCT
ap-916	66	29	)	)	PUNCT
ap-916	66	30	(	(	PUNCT
ap-916	66	31	)	)	PUNCT
ap-916	66	32	,	,	PUNCT
ap-916	66	33	,	,	PUNCT
ap-916	66	34	(	(	PUNCT
ap-916	66	35	)	)	PUNCT
ap-916	66	36	,	,	PUNCT
ap-916	66	37	.	.	PUNCT
ap-916	67	1	0	0	NUM
ap-916	67	2	2	2	NUM
ap-916	67	3	0	0	NUM
ap-916	67	4	3	3	NUM
ap-916	67	5	2	2	NUM
ap-916	67	6	4	4	NUM
ap-916	67	7	1	1	NUM
ap-916	67	8	2	2	NUM
ap-916	67	9	0	0	NUM
ap-916	67	10	1	1	NUM
ap-916	67	11	16	16	NUM
ap-916	67	12	3	3	NUM
ap-916	67	13	2	2	NUM
ap-916	67	14	0	0	NUM
ap-916	67	15	�	�	PROPN
ap-916	67	16	�	�	PROPN
ap-916	67	17	�	�	PROPN
ap-916	67	18	�	�	PROPN
ap-916	67	19	�	�	PROPN
ap-916	67	20	�	�	PROPN
ap-916	67	21	�	�	PROPN
ap-916	67	22	�	�	PROPN
ap-916	67	23	�	�	PROPN
ap-916	67	24	�	�	PROPN
ap-916	67	25	d	d	PROPN
ap-916	67	26	d	d	NOUN
ap-916	67	27	r	r	NOUN
ap-916	67	28	r	r	NOUN
ap-916	67	29	v	v	NOUN
ap-916	67	30	r	r	NOUN
ap-916	67	31	d	d	NOUN
ap-916	67	32	d	d	NOUN
ap-916	67	33	r	r	NOUN
ap-916	67	34	r	r	NOUN
ap-916	67	35	v	v	NOUN
ap-916	67	36	v	v	NOUN
ap-916	67	37	m	m	NOUN
ap-916	67	38	d	d	PROPN
ap-916	67	39	�	�	PROPN
ap-916	67	40	�	�	PROPN
ap-916	67	41	�	�	PROPN
ap-916	67	42	�	�	PROPN
ap-916	67	43	�	�	PROPN
ap-916	67	44	�	�	PROPN
ap-916	67	45	�	�	PROPN
ap-916	67	46	(	(	PUNCT
ap-916	67	47	14	14	NUM
ap-916	67	48	)	)	PUNCT
ap-916	67	49	this	this	PRON
ap-916	67	50	gives	give	VERB
ap-916	67	51	the	the	DET
ap-916	67	52	first	first	ADJ
ap-916	67	53	term	term	NOUN
ap-916	67	54	on	on	ADP
ap-916	67	55	the	the	DET
ap-916	67	56	rhs	rhs	PROPN
ap-916	67	57	of	of	ADP
ap-916	67	58	(	(	PUNCT
ap-916	67	59	12	12	NUM
ap-916	67	60	)	)	PUNCT
ap-916	67	61	.	.	PUNCT
ap-916	68	1	now	now	ADV
ap-916	68	2	we	we	PRON
ap-916	68	3	turn	turn	VERB
ap-916	68	4	to	to	ADP
ap-916	68	5	the	the	DET
ap-916	68	6	second	second	ADJ
ap-916	68	7	term	term	NOUN
ap-916	68	8	,	,	PUNCT
ap-916	68	9	the	the	DET
ap-916	68	10	derivative	derivative	NOUN
ap-916	68	11	of	of	ADP
ap-916	68	12	the	the	DET
ap-916	68	13	zeta	zeta	NOUN
ap-916	68	14	function	function	NOUN
ap-916	68	15	at	at	ADP
ap-916	68	16	s	s	PROPN
ap-916	68	17	�	�	PROPN
ap-916	68	18	0	0	NUM
ap-916	68	19	,	,	PUNCT
ap-916	68	20	�	�	PROPN
ap-916	68	21	�	�	PROPN
ap-916	68	22	(	(	PUNCT
ap-916	68	23	)	)	PUNCT
ap-916	68	24	0	0	NUM
ap-916	68	25	.	.	PUNCT
ap-916	69	1	this	this	PRON
ap-916	69	2	can	can	AUX
ap-916	69	3	be	be	AUX
ap-916	69	4	evaluated	evaluate	VERB
ap-916	69	5	using	use	VERB
ap-916	69	6	the	the	DET
ap-916	69	7	relation	relation	NOUN
ap-916	69	8	to	to	ADP
ap-916	69	9	the	the	DET
ap-916	69	10	familiar	familiar	ADJ
ap-916	69	11	jost	jost	NOUN
ap-916	69	12	functions	function	NOUN
ap-916	69	13	of	of	ADP
ap-916	69	14	scattering	scatter	VERB
ap-916	69	15	theory	theory	NOUN
ap-916	69	16	[	[	X
ap-916	69	17	15	15	NUM
ap-916	69	18	]	]	PUNCT
ap-916	69	19	.	.	PUNCT
ap-916	70	1	consider	consider	VERB
ap-916	70	2	the	the	DET
ap-916	70	3	radial	radial	ADJ
ap-916	70	4	eigenvalue	eigenvalue	NOUN
ap-916	70	5	equation	equation	NOUN
ap-916	70	6	�	�	PROPN
ap-916	70	7	(	(	PUNCT
ap-916	70	8	)	)	PUNCT
ap-916	70	9	(	(	PUNCT
ap-916	70	10	)	)	PUNCT
ap-916	70	11	,	,	PUNCT
ap-916	70	12	(	(	PUNCT
ap-916	70	13	)	)	PUNCT
ap-916	70	14	,	,	PUNCT
ap-916	70	15	l	l	NOUN
ap-916	70	16	l	l	NOUN
ap-916	71	1	pl	pl	X
ap-916	71	2	p	p	X
ap-916	71	3	p	p	X
ap-916	71	4	�	�	PROPN
ap-916	71	5	2	2	NUM
ap-916	71	6	,	,	PUNCT
ap-916	71	7	(	(	PUNCT
ap-916	71	8	15	15	NUM
ap-916	71	9	)	)	PUNCT
ap-916	71	10	where	where	SCONJ
ap-916	71	11	�	�	PROPN
ap-916	71	12	(	(	PUNCT
ap-916	71	13	l	l	NOUN
ap-916	71	14	)	)	PUNCT
ap-916	71	15	is	be	AUX
ap-916	71	16	the	the	DET
ap-916	71	17	schrödinger	schrödinger	ADJ
ap-916	71	18	-	-	PUNCT
ap-916	71	19	like	like	ADJ
ap-916	71	20	radial	radial	ADJ
ap-916	71	21	operator	operator	NOUN
ap-916	71	22	defined	define	VERB
ap-916	71	23	in	in	ADP
ap-916	71	24	(	(	PUNCT
ap-916	71	25	3	3	NUM
ap-916	71	26	)	)	PUNCT
ap-916	71	27	.	.	PUNCT
ap-916	72	1	a	a	DET
ap-916	72	2	distinguished	distinguished	ADJ
ap-916	72	3	role	role	NOUN
ap-916	72	4	is	be	AUX
ap-916	72	5	played	play	VERB
ap-916	72	6	by	by	ADP
ap-916	72	7	the	the	DET
ap-916	72	8	so	so	ADV
ap-916	72	9	-	-	PUNCT
ap-916	72	10	called	call	VERB
ap-916	72	11	regular	regular	ADJ
ap-916	72	12	solution	solution	NOUN
ap-916	72	13	,	,	PUNCT
ap-916	72	14	(	(	PUNCT
ap-916	72	15	l),p(r	l),p(r	NOUN
ap-916	72	16	)	)	PUNCT
ap-916	72	17	,	,	PUNCT
ap-916	72	18	which	which	PRON
ap-916	72	19	is	be	AUX
ap-916	72	20	defined	define	VERB
ap-916	72	21	to	to	PART
ap-916	72	22	have	have	VERB
ap-916	72	23	the	the	DET
ap-916	72	24	same	same	ADJ
ap-916	72	25	behavior	behavior	NOUN
ap-916	72	26	as	as	ADP
ap-916	72	27	r#0	r#0	PROPN
ap-916	72	28	as	as	ADP
ap-916	72	29	the	the	DET
ap-916	72	30	solution	solution	NOUN
ap-916	72	31	without	without	ADP
ap-916	72	32	potential	potential	NOUN
ap-916	72	33	:	:	PUNCT
ap-916	72	34	(	(	PUNCT
ap-916	72	35	)	)	PUNCT
ap-916	72	36	,	,	PUNCT
ap-916	72	37	(	(	PUNCT
ap-916	72	38	)	)	PUNCT
ap-916	72	39	~	~	PUNCT
ap-916	72	40	�	�	PROPN
ap-916	72	41	(	(	PUNCT
ap-916	72	42	)	)	PUNCT
ap-916	72	43	(	(	PUNCT
ap-916	72	44	)	)	PUNCT
ap-916	72	45	l	l	NOUN
ap-916	72	46	p	p	NOUN
ap-916	72	47	r	r	NOUN
ap-916	72	48	l	l	NOUN
ap-916	72	49	r	r	NOUN
ap-916	72	50	j	j	PROPN
ap-916	72	51	prd	prd	PROPN
ap-916	72	52	#	#	PROPN
ap-916	72	53	�	�	PROPN
ap-916	72	54	�	�	PROPN
ap-916	72	55	0	0	NUM
ap-916	72	56	3	3	NUM
ap-916	72	57	2	2	NUM
ap-916	72	58	.	.	PUNCT
ap-916	73	1	(	(	PUNCT
ap-916	73	2	16	16	NUM
ap-916	73	3	)	)	PUNCT
ap-916	73	4	here	here	ADV
ap-916	73	5	the	the	DET
ap-916	73	6	spherical	spherical	ADJ
ap-916	73	7	bessel	bessel	NOUN
ap-916	73	8	function	function	NOUN
ap-916	73	9	is	be	AUX
ap-916	73	10	defined	define	VERB
ap-916	73	11	as	as	ADP
ap-916	73	12	�	�	PROPN
ap-916	73	13	(	(	PUNCT
ap-916	73	14	)	)	PUNCT
ap-916	73	15	(	(	PUNCT
ap-916	73	16	)	)	PUNCT
ap-916	73	17	(	(	PUNCT
ap-916	73	18	)	)	PUNCT
ap-916	73	19	j	j	PROPN
ap-916	73	20	z	z	PROPN
ap-916	73	21	z	z	PROPN
ap-916	74	1	j	j	PROPN
ap-916	74	2	z	z	PROPN
ap-916	74	3	l	l	PROPN
ap-916	74	4	ld	ld	PROPN
ap-916	74	5	d	d	PROPN
ap-916	74	6	�	�	PROPN
ap-916	74	7	�	�	PROPN
ap-916	74	8	�	�	PROPN
ap-916	74	9	�	�	PROPN
ap-916	74	10	�	�	PROPN
ap-916	74	11	3	3	NUM
ap-916	74	12	2	2	NUM
ap-916	74	13	22	22	NUM
ap-916	74	14	1	1	NUM
ap-916	74	15	�	�	PROPN
ap-916	74	16	.	.	PUNCT
ap-916	75	1	4	4	NUM
ap-916	75	2	©	©	PROPN
ap-916	75	3	czech	czech	PROPN
ap-916	75	4	technical	technical	PROPN
ap-916	75	5	university	university	PROPN
ap-916	75	6	publishing	publishing	NOUN
ap-916	75	7	house	house	NOUN
ap-916	75	8	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	75	9	acta	acta	PROPN
ap-916	75	10	polytechnica	polytechnica	PROPN
ap-916	75	11	vol	vol	NOUN
ap-916	75	12	.	.	PUNCT
ap-916	76	1	47	47	NUM
ap-916	76	2	no	no	INTJ
ap-916	76	3	.	.	PUNCT
ap-916	77	1	2–3/2007	2–3/2007	NUM
ap-916	77	2	the	the	DET
ap-916	77	3	asymptotic	asymptotic	ADJ
ap-916	77	4	behavior	behavior	NOUN
ap-916	77	5	of	of	ADP
ap-916	77	6	the	the	DET
ap-916	77	7	regular	regular	ADJ
ap-916	77	8	solution	solution	NOUN
ap-916	77	9	,	,	PUNCT
ap-916	77	10	(	(	PUNCT
ap-916	77	11	l),p(r	l),p(r	NOUN
ap-916	77	12	)	)	PUNCT
ap-916	77	13	,	,	PUNCT
ap-916	77	14	as	as	SCONJ
ap-916	77	15	r	r	NOUN
ap-916	77	16	#	#	SYM
ap-916	77	17	�	�	PROPN
ap-916	77	18	defines	define	VERB
ap-916	77	19	thejost	thejost	ADJ
ap-916	77	20	function	function	NOUN
ap-916	77	21	,	,	PUNCT
ap-916	77	22	fl(p	fl(p	NUM
ap-916	77	23	)	)	PUNCT
ap-916	77	24	,	,	PUNCT
ap-916	78	1	[	[	X
ap-916	78	2	15	15	NUM
ap-916	78	3	]	]	X
ap-916	78	4	(	(	PUNCT
ap-916	78	5	)	)	PUNCT
ap-916	78	6	,	,	PUNCT
ap-916	78	7	*	*	PUNCT
ap-916	78	8	(	(	PUNCT
ap-916	78	9	)	)	PUNCT
ap-916	78	10	~	~	PUNCT
ap-916	78	11	(	(	PUNCT
ap-916	78	12	)	)	PUNCT
ap-916	78	13	�	�	PROPN
ap-916	78	14	(	(	PUNCT
ap-916	78	15	)	)	PUNCT
ap-916	78	16	(	(	PUNCT
ap-916	78	17	)	)	PUNCT
ap-916	78	18	�	�	PROPN
ap-916	78	19	(	(	PUNCT
ap-916	79	1	l	l	NOUN
ap-916	79	2	p	p	NOUN
ap-916	79	3	r	r	NOUN
ap-916	79	4	l	l	NOUN
ap-916	79	5	l	l	NOUN
ap-916	79	6	l	l	NOUN
ap-916	79	7	lr	lr	INTJ
ap-916	80	1	i	i	PRON
ap-916	80	2	f	f	PROPN
ap-916	81	1	p	p	NOUN
ap-916	81	2	h	h	NOUN
ap-916	81	3	pr	pr	INTJ
ap-916	82	1	f	f	PROPN
ap-916	82	2	p	p	PRON
ap-916	82	3	hd	hd	PROPN
ap-916	82	4	d	d	PROPN
ap-916	82	5	#	#	PRON
ap-916	82	6	�	�	PROPN
ap-916	82	7	�	�	PROPN
ap-916	82	8	�	�	PROPN
ap-916	82	9	�	�	PROPN
ap-916	82	10	�	�	PROPN
ap-916	82	11	�	�	PROPN
ap-916	82	12	�	�	PROPN
ap-916	82	13	�	�	PROPN
ap-916	82	14	2	2	NUM
ap-916	82	15	3	3	NUM
ap-916	82	16	2	2	NUM
ap-916	82	17	3	3	NUM
ap-916	82	18	2	2	NUM
ap-916	82	19	pr	pr	NOUN
ap-916	82	20	)	)	PUNCT
ap-916	82	21	�	�	PROPN
ap-916	82	22	�	�	PROPN
ap-916	82	23	�	�	PROPN
ap-916	82	24	�	�	PROPN
ap-916	82	25	�	�	PROPN
ap-916	82	26	.	.	PUNCT
ap-916	83	1	(	(	PUNCT
ap-916	83	2	17	17	NUM
ap-916	83	3	)	)	PUNCT
ap-916	83	4	here	here	ADV
ap-916	83	5	�	�	PROPN
ap-916	83	6	(	(	PUNCT
ap-916	83	7	)	)	PUNCT
ap-916	83	8	h	h	NOUN
ap-916	83	9	prl	prl	PROPN
ap-916	83	10	d	d	X
ap-916	83	11	�	�	PROPN
ap-916	83	12	�	�	PROPN
ap-916	83	13	�	�	PROPN
ap-916	83	14	3	3	NUM
ap-916	83	15	2	2	NUM
ap-916	83	16	and	and	CCONJ
ap-916	83	17	�	�	PROPN
ap-916	83	18	(	(	PUNCT
ap-916	83	19	)	)	PUNCT
ap-916	83	20	h	h	NOUN
ap-916	84	1	prl	prl	PROPN
ap-916	84	2	d	d	X
ap-916	84	3	�	�	PROPN
ap-916	84	4	�	�	PROPN
ap-916	84	5	�	�	PROPN
ap-916	84	6	3	3	NUM
ap-916	84	7	2	2	NUM
ap-916	84	8	are	be	AUX
ap-916	84	9	the	the	DET
ap-916	84	10	riccati	riccati	NOUN
ap-916	84	11	-	-	PUNCT
ap-916	84	12	hankel	hankel	NOUN
ap-916	84	13	functions	function	NOUN
ap-916	84	14	�	�	PROPN
ap-916	84	15	(	(	PUNCT
ap-916	84	16	)	)	PUNCT
ap-916	84	17	(	(	PUNCT
ap-916	84	18	)	)	PUNCT
ap-916	84	19	,	,	PUNCT
ap-916	84	20	�	�	PROPN
ap-916	84	21	(	(	PUNCT
ap-916	84	22	)	)	PUNCT
ap-916	84	23	(	(	PUNCT
ap-916	84	24	)	)	PUNCT
ap-916	84	25	h	h	NOUN
ap-916	84	26	z	z	NOUN
ap-916	85	1	i	i	PRON
ap-916	85	2	z	z	NOUN
ap-916	86	1	h	h	NOUN
ap-916	87	1	z	z	NOUN
ap-916	87	2	h	h	NOUN
ap-916	88	1	z	z	NOUN
ap-916	89	1	i	i	PRON
ap-916	89	2	z	z	NOUN
ap-916	89	3	h	h	NOUN
ap-916	90	1	l	l	NOUN
ap-916	90	2	l	l	X
ap-916	90	3	l	l	PUNCT
ap-916	91	1	d	d	PUNCT
ap-916	91	2	d	d	X
ap-916	91	3	d	d	X
ap-916	91	4	�	�	PROPN
ap-916	91	5	�	�	PROPN
ap-916	91	6	�	�	PROPN
ap-916	91	7	�	�	PROPN
ap-916	91	8	�	�	PROPN
ap-916	91	9	�	�	PROPN
ap-916	91	10	�	�	PROPN
ap-916	91	11	�	�	PROPN
ap-916	91	12	�	�	PROPN
ap-916	91	13	�	�	PROPN
ap-916	91	14	�	�	PROPN
ap-916	91	15	3	3	NUM
ap-916	91	16	2	2	NUM
ap-916	91	17	2	2	NUM
ap-916	91	18	3	3	NUM
ap-916	91	19	2	2	NUM
ap-916	91	20	2	2	NUM
ap-916	91	21	2	2	NUM
ap-916	91	22	1	1	NUM
ap-916	91	23	1	1	NUM
ap-916	91	24	�	�	PROPN
ap-916	91	25	�	�	PROPN
ap-916	91	26	l	l	PROPN
ap-916	92	1	d	d	X
ap-916	92	2	z	z	PROPN
ap-916	92	3	�	�	PROPN
ap-916	92	4	�	�	PROPN
ap-916	92	5	2	2	NUM
ap-916	92	6	1	1	NUM
ap-916	92	7	2	2	NUM
ap-916	92	8	(	(	PUNCT
ap-916	92	9	)	)	PUNCT
ap-916	92	10	(	(	PUNCT
ap-916	92	11	)	)	PUNCT
ap-916	92	12	.	.	PUNCT
ap-916	93	1	(	(	PUNCT
ap-916	93	2	18	18	NUM
ap-916	93	3	)	)	PUNCT
ap-916	93	4	as	as	SCONJ
ap-916	93	5	is	be	AUX
ap-916	93	6	well	well	ADV
ap-916	93	7	known	know	VERB
ap-916	93	8	from	from	ADP
ap-916	93	9	scattering	scatter	VERB
ap-916	93	10	theory	theory	NOUN
ap-916	93	11	[	[	X
ap-916	93	12	15	15	NUM
ap-916	93	13	]	]	PUNCT
ap-916	93	14	,	,	PUNCT
ap-916	93	15	the	the	DET
ap-916	93	16	analytic	analytic	ADJ
ap-916	93	17	properties	property	NOUN
ap-916	93	18	of	of	ADP
ap-916	93	19	the	the	DET
ap-916	93	20	jost	jost	PROPN
ap-916	93	21	function	function	NOUN
ap-916	93	22	fl(p	fl(p	PUNCT
ap-916	93	23	)	)	PUNCT
ap-916	93	24	strongly	strongly	ADV
ap-916	93	25	depend	depend	VERB
ap-916	93	26	on	on	ADP
ap-916	93	27	the	the	DET
ap-916	93	28	properties	property	NOUN
ap-916	93	29	of	of	ADP
ap-916	93	30	the	the	DET
ap-916	93	31	potential	potential	ADJ
ap-916	93	32	v(r	v(r	NOUN
ap-916	93	33	)	)	PUNCT
ap-916	93	34	.	.	PUNCT
ap-916	94	1	analyticity	analyticity	NOUN
ap-916	94	2	of	of	ADP
ap-916	94	3	the	the	DET
ap-916	94	4	jost	jost	NOUN
ap-916	94	5	function	function	NOUN
ap-916	94	6	as	as	ADP
ap-916	94	7	a	a	DET
ap-916	94	8	function	function	NOUN
ap-916	94	9	of	of	ADP
ap-916	94	10	p	p	NOUN
ap-916	94	11	for$	for$	PUNCT
ap-916	94	12	p	p	NOUN
ap-916	94	13	0	0	PROPN
ap-916	94	14	is	be	AUX
ap-916	94	15	guaranteed	guarantee	VERB
ap-916	94	16	,	,	PUNCT
ap-916	94	17	if	if	SCONJ
ap-916	94	18	in	in	ADP
ap-916	94	19	addition	addition	NOUN
ap-916	94	20	to	to	ADP
ap-916	94	21	the	the	DET
ap-916	94	22	aforementioned	aforementioned	ADJ
ap-916	94	23	behavior	behavior	NOUN
ap-916	94	24	as	as	ADP
ap-916	94	25	r	r	NOUN
ap-916	94	26	#	#	SYM
ap-916	94	27	�	�	NOUN
ap-916	94	28	,	,	PUNCT
ap-916	94	29	we	we	PRON
ap-916	94	30	impose	impose	VERB
ap-916	94	31	v(r	v(r	NUM
ap-916	94	32	)	)	PUNCT
ap-916	94	33	~	~	PUNCT
ap-916	94	34	r	r	X
ap-916	94	35	�	�	PROPN
ap-916	94	36	2	2	NUM
ap-916	94	37	�	�	NOUN
ap-916	94	38	�	�	PROPN
ap-916	94	39	for	for	ADP
ap-916	94	40	r	r	NOUN
ap-916	94	41	#	#	NOUN
ap-916	94	42	0	0	NUM
ap-916	94	43	,	,	PUNCT
ap-916	94	44	and	and	CCONJ
ap-916	94	45	continuity	continuity	NOUN
ap-916	94	46	of	of	ADP
ap-916	94	47	v(r	v(r	NOUN
ap-916	94	48	)	)	PUNCT
ap-916	94	49	in	in	ADP
ap-916	94	50	0	0	NUM
ap-916	94	51	<	<	X
ap-916	94	52	r	r	X
ap-916	94	53	<	<	X
ap-916	94	54	�	�	PROPN
ap-916	94	55	(	(	PUNCT
ap-916	94	56	except	except	SCONJ
ap-916	94	57	perhaps	perhaps	ADV
ap-916	94	58	at	at	ADP
ap-916	94	59	a	a	DET
ap-916	94	60	finite	finite	ADJ
ap-916	94	61	number	number	NOUN
ap-916	94	62	of	of	ADP
ap-916	94	63	finite	finite	ADJ
ap-916	94	64	discontinuities	discontinuity	NOUN
ap-916	94	65	)	)	PUNCT
ap-916	94	66	.	.	PUNCT
ap-916	95	1	for	for	ADP
ap-916	95	2	us	we	PRON
ap-916	95	3	,	,	PUNCT
ap-916	95	4	the	the	DET
ap-916	95	5	analytic	analytic	ADJ
ap-916	95	6	properties	property	NOUN
ap-916	95	7	of	of	ADP
ap-916	95	8	the	the	DET
ap-916	95	9	jost	jost	ADJ
ap-916	95	10	function	function	NOUN
ap-916	95	11	in	in	ADP
ap-916	95	12	the	the	DET
ap-916	95	13	upper	upper	ADJ
ap-916	95	14	half	half	ADJ
ap-916	95	15	plane	plane	NOUN
ap-916	95	16	will	will	AUX
ap-916	95	17	be	be	AUX
ap-916	95	18	of	of	ADP
ap-916	95	19	particular	particular	ADJ
ap-916	95	20	importance	importance	NOUN
ap-916	95	21	because	because	SCONJ
ap-916	95	22	they	they	PRON
ap-916	95	23	are	be	AUX
ap-916	95	24	related	relate	VERB
ap-916	95	25	to	to	ADP
ap-916	95	26	the	the	DET
ap-916	95	27	shifting	shifting	NOUN
ap-916	95	28	of	of	ADP
ap-916	95	29	contours	contours	NOUN
ap-916	95	30	in	in	ADP
ap-916	95	31	the	the	DET
ap-916	95	32	complex	complex	ADJ
ap-916	95	33	momentum	momentum	NOUN
ap-916	95	34	plane	plane	NOUN
ap-916	95	35	.	.	PUNCT
ap-916	96	1	by	by	ADP
ap-916	96	2	standard	standard	ADJ
ap-916	96	3	contour	contour	NOUN
ap-916	96	4	manipulations	manipulation	NOUN
ap-916	96	5	[	[	X
ap-916	96	6	6	6	NUM
ap-916	96	7	]	]	PUNCT
ap-916	96	8	,	,	PUNCT
ap-916	96	9	the	the	DET
ap-916	96	10	zeta	zeta	NOUN
ap-916	96	11	function	function	NOUN
ap-916	96	12	can	can	AUX
ap-916	96	13	be	be	AUX
ap-916	96	14	expressed	express	VERB
ap-916	96	15	in	in	ADP
ap-916	96	16	terms	term	NOUN
ap-916	96	17	of	of	ADP
ap-916	96	18	the	the	DET
ap-916	96	19	jost	jost	NOUN
ap-916	96	20	functions	function	NOUN
ap-916	96	21	as	as	ADP
ap-916	96	22	:	:	PUNCT
ap-916	96	23	%	%	PROPN
ap-916	96	24	&	&	CCONJ
ap-916	96	25	�	�	PROPN
ap-916	96	26	�	�	PROPN
ap-916	96	27	�	�	PROPN
ap-916	96	28	�	�	PROPN
ap-916	96	29	�	�	PROPN
ap-916	96	30	(	(	PUNCT
ap-916	96	31	)	)	PUNCT
ap-916	96	32	sin	sin	NOUN
ap-916	96	33	(	(	PUNCT
ap-916	96	34	)	)	PUNCT
ap-916	96	35	deg	deg	PROPN
ap-916	96	36	(	(	PUNCT
ap-916	96	37	;	;	PUNCT
ap-916	96	38	)	)	PUNCT
ap-916	96	39	ln	ln	X
ap-916	96	40	(	(	PUNCT
ap-916	96	41	)	)	PUNCT
ap-916	96	42	s	s	NOUN
ap-916	96	43	s	s	NOUN
ap-916	96	44	l	l	NOUN
ap-916	97	1	d	d	X
ap-916	97	2	k	k	PROPN
ap-916	98	1	k	k	PROPN
ap-916	98	2	m	m	VERB
ap-916	98	3	k	k	NOUN
ap-916	98	4	f	f	X
ap-916	98	5	ik	ik	PROPN
ap-916	98	6	s	s	PROPN
ap-916	98	7	m	m	PROPN
ap-916	98	8	l	l	NOUN
ap-916	98	9	l	l	X
ap-916	98	10	�	�	PROPN
ap-916	98	11	�	�	PROPN
ap-916	98	12	�	�	PROPN
ap-916	98	13	�	�	PROPN
ap-916	98	14	�	�	PROPN
ap-916	98	15	�	�	PROPN
ap-916	98	16	�	�	PROPN
ap-916	98	17	�	�	PROPN
ap-916	98	18	d	d	PROPN
ap-916	98	19	2	2	NUM
ap-916	98	20	2	2	NUM
ap-916	98	21	0	0	NUM
ap-916	98	22	.	.	PUNCT
ap-916	99	1	(	(	PUNCT
ap-916	99	2	19	19	NUM
ap-916	99	3	)	)	PUNCT
ap-916	99	4	this	this	DET
ap-916	99	5	representation	representation	NOUN
ap-916	99	6	is	be	AUX
ap-916	99	7	valid	valid	ADJ
ap-916	99	8	for	for	ADP
ap-916	99	9	'	'	PUNCT
ap-916	99	10	s	s	PROPN
ap-916	99	11	d	d	PROPN
ap-916	99	12	2	2	NUM
ap-916	99	13	,	,	PUNCT
ap-916	99	14	and	and	CCONJ
ap-916	99	15	the	the	DET
ap-916	99	16	technical	technical	ADJ
ap-916	99	17	problem	problem	NOUN
ap-916	99	18	is	be	AUX
ap-916	99	19	the	the	DET
ap-916	99	20	construction	construction	NOUN
ap-916	99	21	of	of	ADP
ap-916	99	22	the	the	DET
ap-916	99	23	analytic	analytic	ADJ
ap-916	99	24	continuation	continuation	NOUN
ap-916	99	25	of	of	ADP
ap-916	99	26	(	(	PUNCT
ap-916	99	27	19	19	NUM
ap-916	99	28	)	)	PUNCT
ap-916	99	29	to	to	ADP
ap-916	99	30	a	a	DET
ap-916	99	31	neighborhood	neighborhood	NOUN
ap-916	99	32	about	about	SCONJ
ap-916	99	33	s	s	VERB
ap-916	99	34	�	�	PROPN
ap-916	99	35	0	0	NUM
ap-916	99	36	.	.	PUNCT
ap-916	100	1	if	if	SCONJ
ap-916	100	2	expression	expression	NOUN
ap-916	100	3	(	(	PUNCT
ap-916	100	4	19	19	NUM
ap-916	100	5	)	)	PUNCT
ap-916	100	6	were	be	AUX
ap-916	100	7	analytic	analytic	ADJ
ap-916	100	8	at	at	ADP
ap-916	100	9	s	s	PROPN
ap-916	100	10	�	�	PROPN
ap-916	100	11	0	0	NUM
ap-916	100	12	,	,	PUNCT
ap-916	100	13	then	then	ADV
ap-916	100	14	we	we	PRON
ap-916	100	15	would	would	AUX
ap-916	100	16	deduce	deduce	VERB
ap-916	100	17	that	that	SCONJ
ap-916	100	18	�	�	PROPN
ap-916	100	19	�	�	PROPN
ap-916	100	20	�	�	PROPN
ap-916	100	21	�	�	PROPN
ap-916	100	22	�	�	PROPN
ap-916	100	23	�	�	PROPN
ap-916	100	24	�	�	PROPN
ap-916	100	25	(	(	PUNCT
ap-916	100	26	)	)	PUNCT
ap-916	100	27	deg	deg	PROPN
ap-916	100	28	(	(	PUNCT
ap-916	100	29	;	;	PUNCT
ap-916	100	30	)	)	PUNCT
ap-916	100	31	ln	ln	X
ap-916	100	32	(	(	PUNCT
ap-916	100	33	)	)	PUNCT
ap-916	100	34	0	0	NUM
ap-916	100	35	0	0	NUM
ap-916	101	1	l	l	NOUN
ap-916	101	2	d	d	X
ap-916	101	3	f	f	PROPN
ap-916	101	4	iml	iml	PROPN
ap-916	101	5	l	l	NOUN
ap-916	101	6	.	.	PUNCT
ap-916	102	1	(	(	PUNCT
ap-916	102	2	20	20	NUM
ap-916	102	3	)	)	PUNCT
ap-916	102	4	from	from	ADP
ap-916	102	5	the	the	DET
ap-916	102	6	definition	definition	NOUN
ap-916	102	7	(	(	PUNCT
ap-916	102	8	17	17	NUM
ap-916	102	9	)	)	PUNCT
ap-916	102	10	of	of	ADP
ap-916	102	11	the	the	DET
ap-916	102	12	jost	jost	PROPN
ap-916	102	13	function	function	NOUN
ap-916	102	14	,	,	PUNCT
ap-916	102	15	f	f	PROPN
ap-916	102	16	iml	iml	PROPN
ap-916	102	17	l	l	NOUN
ap-916	102	18	i	i	PRON
ap-916	102	19	m	m	VERB
ap-916	102	20	l	l	VERB
ap-916	103	1	i	i	NOUN
ap-916	103	2	m	m	VERB
ap-916	103	3	l	l	NOUN
ap-916	103	4	l	l	NOUN
ap-916	103	5	(	(	PUNCT
ap-916	103	6	)	)	PUNCT
ap-916	103	7	(	(	PUNCT
ap-916	103	8	)	)	PUNCT
ap-916	103	9	(	(	PUNCT
ap-916	103	10	)	)	PUNCT
ap-916	103	11	(	(	PUNCT
ap-916	103	12	)	)	PUNCT
ap-916	103	13	(	(	PUNCT
ap-916	103	14	)	)	PUNCT
ap-916	103	15	(	(	PUNCT
ap-916	103	16	)	)	PUNCT
ap-916	103	17	,	,	PUNCT
ap-916	103	18	(	(	PUNCT
ap-916	103	19	)	)	PUNCT
ap-916	103	20	,	,	PUNCT
ap-916	103	21	(	(	PUNCT
ap-916	103	22	)	)	PUNCT
ap-916	103	23	(	(	PUNCT
ap-916	103	24	)	)	PUNCT
ap-916	103	25	�	�	PROPN
ap-916	103	26	�	�	PROPN
ap-916	103	27	�	�	PROPN
ap-916	103	28	�	�	PROPN
ap-916	103	29	�	�	PROPN
ap-916	103	30	�	�	PROPN
ap-916	103	31	�	�	PROPN
ap-916	103	32	�	�	PROPN
ap-916	103	33	free	free	ADJ
ap-916	103	34	free	free	ADJ
ap-916	103	35	,	,	PUNCT
ap-916	103	36	(	(	PUNCT
ap-916	103	37	21	21	NUM
ap-916	103	38	)	)	PUNCT
ap-916	104	1	where	where	SCONJ
ap-916	104	2	�	�	PROPN
ap-916	104	3	(	(	PUNCT
ap-916	104	4	)	)	PUNCT
ap-916	104	5	(	(	PUNCT
ap-916	104	6	)	)	PUNCT
ap-916	104	7	l	l	NOUN
ap-916	105	1	r	r	NOUN
ap-916	105	2	is	be	AUX
ap-916	105	3	defined	define	VERB
ap-916	105	4	in	in	ADP
ap-916	105	5	(	(	PUNCT
ap-916	105	6	9	9	NUM
ap-916	105	7	)	)	PUNCT
ap-916	105	8	.	.	PUNCT
ap-916	106	1	thus	thus	ADV
ap-916	106	2	,	,	PUNCT
ap-916	106	3	the	the	DET
ap-916	106	4	regulated	regulated	ADJ
ap-916	106	5	expression	expression	NOUN
ap-916	106	6	(	(	PUNCT
ap-916	106	7	20	20	NUM
ap-916	106	8	)	)	PUNCT
ap-916	106	9	coincides	coincide	VERB
ap-916	106	10	with	with	ADP
ap-916	106	11	the	the	DET
ap-916	106	12	formal	formal	ADJ
ap-916	106	13	partial	partial	ADJ
ap-916	106	14	wave	wave	NOUN
ap-916	106	15	expansion	expansion	NOUN
ap-916	106	16	(	(	PUNCT
ap-916	106	17	5	5	NUM
ap-916	106	18	)	)	PUNCT
ap-916	106	19	,	,	PUNCT
ap-916	106	20	using	use	VERB
ap-916	106	21	the	the	DET
ap-916	106	22	gelf’and	gelf’and	NOUN
ap-916	106	23	-	-	PUNCT
ap-916	106	24	yaglom	yaglom	NOUN
ap-916	106	25	result	result	NOUN
ap-916	106	26	(	(	PUNCT
ap-916	106	27	2	2	NUM
ap-916	106	28	)	)	PUNCT
ap-916	106	29	for	for	ADP
ap-916	106	30	each	each	DET
ap-916	106	31	l.	l.	PROPN
ap-916	106	32	however	however	ADV
ap-916	106	33	,	,	PUNCT
ap-916	106	34	the	the	DET
ap-916	106	35	expansion	expansion	NOUN
ap-916	106	36	(	(	PUNCT
ap-916	106	37	20	20	NUM
ap-916	106	38	)	)	PUNCT
ap-916	106	39	is	be	AUX
ap-916	106	40	divergent	divergent	ADJ
ap-916	106	41	in	in	ADP
ap-916	106	42	positive	positive	ADJ
ap-916	106	43	integer	integer	NOUN
ap-916	106	44	dimensions	dimension	NOUN
ap-916	106	45	.	.	PUNCT
ap-916	107	1	in	in	ADP
ap-916	107	2	the	the	DET
ap-916	107	3	zeta	zeta	NOUN
ap-916	107	4	function	function	NOUN
ap-916	107	5	approach	approach	NOUN
ap-916	107	6	,	,	PUNCT
ap-916	107	7	the	the	DET
ap-916	107	8	divergence	divergence	NOUN
ap-916	107	9	of	of	ADP
ap-916	107	10	the	the	DET
ap-916	107	11	formal	formal	ADJ
ap-916	107	12	sum	sum	NOUN
ap-916	107	13	in	in	ADP
ap-916	107	14	(	(	PUNCT
ap-916	107	15	20	20	NUM
ap-916	107	16	)	)	PUNCT
ap-916	107	17	is	be	AUX
ap-916	107	18	directly	directly	ADV
ap-916	107	19	related	relate	VERB
ap-916	107	20	to	to	ADP
ap-916	107	21	the	the	DET
ap-916	107	22	need	need	NOUN
ap-916	107	23	for	for	ADP
ap-916	107	24	analytic	analytic	ADJ
ap-916	107	25	continuation	continuation	NOUN
ap-916	107	26	of	of	ADP
ap-916	107	27	�	�	PROPN
ap-916	107	28	(	(	PUNCT
ap-916	107	29	)	)	PUNCT
ap-916	107	30	s	s	PROPN
ap-916	107	31	in	in	ADP
ap-916	107	32	s	s	PRON
ap-916	107	33	to	to	ADP
ap-916	107	34	a	a	DET
ap-916	107	35	region	region	NOUN
ap-916	107	36	including	include	VERB
ap-916	107	37	s	s	PROPN
ap-916	107	38	�	�	PROPN
ap-916	107	39	0	0	NUM
ap-916	107	40	.	.	PUNCT
ap-916	108	1	from	from	ADP
ap-916	108	2	(	(	PUNCT
ap-916	108	3	19	19	NUM
ap-916	108	4	)	)	PUNCT
ap-916	108	5	,	,	PUNCT
ap-916	108	6	this	this	DET
ap-916	108	7	analytic	analytic	ADJ
ap-916	108	8	continuation	continuation	NOUN
ap-916	108	9	relies	rely	VERB
ap-916	108	10	on	on	ADP
ap-916	108	11	the	the	DET
ap-916	108	12	uniform	uniform	ADJ
ap-916	108	13	asymptotic	asymptotic	ADJ
ap-916	108	14	behavior	behavior	NOUN
ap-916	108	15	of	of	ADP
ap-916	108	16	the	the	DET
ap-916	108	17	jost	jost	PROPN
ap-916	108	18	function	function	PROPN
ap-916	108	19	fl(ik	fl(ik	PROPN
ap-916	108	20	)	)	PUNCT
ap-916	108	21	.	.	PUNCT
ap-916	109	1	denoting	denote	VERB
ap-916	109	2	this	this	DET
ap-916	109	3	behavior	behavior	NOUN
ap-916	109	4	by	by	ADP
ap-916	109	5	f	f	PROPN
ap-916	109	6	ikl	ikl	PROPN
ap-916	109	7	asym	asym	PROPN
ap-916	109	8	(	(	PUNCT
ap-916	109	9	)	)	PUNCT
ap-916	109	10	,	,	PUNCT
ap-916	109	11	the	the	DET
ap-916	109	12	analytic	analytic	ADJ
ap-916	109	13	continuation	continuation	NOUN
ap-916	109	14	is	be	AUX
ap-916	109	15	achieved	achieve	VERB
ap-916	109	16	by	by	ADP
ap-916	109	17	adding	add	VERB
ap-916	109	18	and	and	CCONJ
ap-916	109	19	subtracting	subtract	VERB
ap-916	109	20	the	the	DET
ap-916	109	21	leading	lead	VERB
ap-916	109	22	asymptotic	asymptotic	ADJ
ap-916	109	23	terms	term	NOUN
ap-916	109	24	of	of	ADP
ap-916	109	25	the	the	DET
ap-916	109	26	integrand	integrand	NOUN
ap-916	109	27	in	in	ADP
ap-916	109	28	(	(	PUNCT
ap-916	109	29	19	19	NUM
ap-916	109	30	)	)	PUNCT
ap-916	109	31	to	to	PART
ap-916	109	32	write	write	VERB
ap-916	109	33	�	�	PROPN
ap-916	109	34	�	�	PROPN
ap-916	109	35	�	�	PROPN
ap-916	109	36	(	(	PUNCT
ap-916	109	37	)	)	PUNCT
ap-916	109	38	(	(	PUNCT
ap-916	109	39	)	)	PUNCT
ap-916	109	40	(	(	PUNCT
ap-916	109	41	)	)	PUNCT
ap-916	109	42	s	s	NOUN
ap-916	109	43	s	s	X
ap-916	109	44	sf	sf	NOUN
ap-916	109	45	as	as	ADP
ap-916	109	46	�	�	PROPN
ap-916	109	47	�	�	PROPN
ap-916	109	48	,	,	PUNCT
ap-916	109	49	(	(	PUNCT
ap-916	109	50	22	22	NUM
ap-916	109	51	)	)	PUNCT
ap-916	109	52	where	where	SCONJ
ap-916	109	53	%	%	NOUN
ap-916	109	54	&	&	CCONJ
ap-916	109	55	�	�	PROPN
ap-916	109	56	�	�	PROPN
ap-916	109	57	�	�	PROPN
ap-916	109	58	�	�	PROPN
ap-916	109	59	�	�	PROPN
ap-916	110	1	f	f	PROPN
ap-916	110	2	s	s	PART
ap-916	110	3	m	m	VERB
ap-916	110	4	l	l	NOUN
ap-916	110	5	s	s	NOUN
ap-916	110	6	s	s	NOUN
ap-916	110	7	l	l	NOUN
ap-916	110	8	d	d	X
ap-916	110	9	k	k	PROPN
ap-916	111	1	k	k	PROPN
ap-916	111	2	m	m	VERB
ap-916	111	3	k	k	NOUN
ap-916	111	4	f	f	X
ap-916	111	5	ik	ik	PROPN
ap-916	111	6	f	f	PROPN
ap-916	111	7	(	(	PUNCT
ap-916	111	8	)	)	PUNCT
ap-916	111	9	sin	sin	NOUN
ap-916	111	10	(	(	PUNCT
ap-916	111	11	)	)	PUNCT
ap-916	111	12	deg	deg	PROPN
ap-916	111	13	(	(	PUNCT
ap-916	111	14	;	;	PUNCT
ap-916	111	15	)	)	PUNCT
ap-916	111	16	ln	ln	X
ap-916	111	17	(	(	PUNCT
ap-916	111	18	)	)	PUNCT
ap-916	111	19	ln	ln	PROPN
ap-916	111	20	�	�	PROPN
ap-916	111	21	(	(	PUNCT
ap-916	111	22	�	�	PROPN
ap-916	111	23	�	�	PROPN
ap-916	111	24	�	�	PROPN
ap-916	111	25	�	�	PROPN
ap-916	111	26	�	�	PROPN
ap-916	111	27	d	d	PROPN
ap-916	111	28	2	2	NUM
ap-916	111	29	2	2	NUM
ap-916	111	30	l	l	NOUN
ap-916	111	31	asym	asym	PROPN
ap-916	111	32	l	l	PROPN
ap-916	111	33	ik	ik	X
ap-916	111	34	(	(	PUNCT
ap-916	111	35	)	)	PUNCT
ap-916	111	36	,	,	PUNCT
ap-916	111	37	�	�	PROPN
ap-916	111	38	�	�	PROPN
ap-916	111	39	�	�	PROPN
ap-916	111	40	�	�	PROPN
ap-916	111	41	�	�	PROPN
ap-916	111	42	�	�	PROPN
ap-916	111	43	�	�	PROPN
ap-916	111	44	�	�	PROPN
ap-916	111	45	0	0	NUM
ap-916	111	46	(	(	PUNCT
ap-916	111	47	23	23	NUM
ap-916	111	48	)	)	PUNCT
ap-916	111	49	and	and	CCONJ
ap-916	111	50	%	%	NOUN
ap-916	111	51	&	&	CCONJ
ap-916	111	52	�	�	PROPN
ap-916	111	53	�	�	PROPN
ap-916	111	54	�	�	PROPN
ap-916	111	55	�	�	PROPN
ap-916	111	56	�	�	PROPN
ap-916	111	57	as	as	ADP
ap-916	111	58	s	s	PROPN
ap-916	111	59	m	m	PROPN
ap-916	111	60	l	l	NOUN
ap-916	111	61	asym	asym	PROPN
ap-916	111	62	s	s	PROPN
ap-916	111	63	s	s	PROPN
ap-916	111	64	l	l	NOUN
ap-916	112	1	d	d	X
ap-916	112	2	k	k	PROPN
ap-916	113	1	k	k	PROPN
ap-916	113	2	m	m	VERB
ap-916	113	3	k	k	PROPN
ap-916	113	4	f	f	X
ap-916	113	5	ik	ik	PROPN
ap-916	113	6	(	(	PUNCT
ap-916	113	7	)	)	PUNCT
ap-916	113	8	sin	sin	NOUN
ap-916	113	9	(	(	PUNCT
ap-916	113	10	)	)	PUNCT
ap-916	113	11	deg	deg	PROPN
ap-916	113	12	(	(	PUNCT
ap-916	113	13	;	;	PUNCT
ap-916	113	14	)	)	PUNCT
ap-916	113	15	ln	ln	X
ap-916	113	16	(	(	PUNCT
ap-916	113	17	�	�	PROPN
ap-916	113	18	(	(	PUNCT
ap-916	113	19	�	�	PROPN
ap-916	113	20	�	�	PROPN
ap-916	113	21	�	�	PROPN
ap-916	113	22	�	�	PROPN
ap-916	113	23	d	d	PROPN
ap-916	113	24	2	2	NUM
ap-916	113	25	2	2	NUM
ap-916	113	26	)	)	PUNCT
ap-916	113	27	.	.	PUNCT
ap-916	114	1	l	l	X
ap-916	114	2	�	�	PROPN
ap-916	114	3	�	�	PROPN
ap-916	114	4	�	�	PROPN
ap-916	114	5	0	0	NUM
ap-916	114	6	(	(	PUNCT
ap-916	114	7	24	24	NUM
ap-916	114	8	)	)	PUNCT
ap-916	114	9	ultimately	ultimately	ADV
ap-916	114	10	we	we	PRON
ap-916	114	11	are	be	AUX
ap-916	114	12	interested	interested	ADJ
ap-916	114	13	in	in	ADP
ap-916	114	14	the	the	DET
ap-916	114	15	analytic	analytic	ADJ
ap-916	114	16	continuation	continuation	NOUN
ap-916	114	17	of	of	ADP
ap-916	114	18	�	�	PROPN
ap-916	114	19	(	(	PUNCT
ap-916	114	20	s	s	NOUN
ap-916	114	21	)	)	PUNCT
ap-916	114	22	to	to	ADP
ap-916	114	23	s	s	PRON
ap-916	114	24	�	�	PROPN
ap-916	114	25	0	0	NUM
ap-916	114	26	.	.	PUNCT
ap-916	115	1	as	as	ADV
ap-916	115	2	many	many	ADJ
ap-916	115	3	asymptotic	asymptotic	ADJ
ap-916	115	4	terms	term	NOUN
ap-916	115	5	will	will	AUX
ap-916	115	6	be	be	AUX
ap-916	115	7	included	include	VERB
ap-916	115	8	in	in	ADP
ap-916	115	9	f	f	PROPN
ap-916	115	10	ikl	ikl	PROPN
ap-916	115	11	asym	asym	PROPN
ap-916	115	12	(	(	PUNCT
ap-916	115	13	)	)	PUNCT
ap-916	115	14	as	as	SCONJ
ap-916	115	15	are	be	AUX
ap-916	115	16	necessary	necessary	ADJ
ap-916	115	17	to	to	PART
ap-916	115	18	make	make	VERB
ap-916	115	19	�	�	PROPN
ap-916	115	20	f	f	PROPN
ap-916	115	21	s	s	PROPN
ap-916	115	22	(	(	PUNCT
ap-916	115	23	)	)	PUNCT
ap-916	115	24	as	as	SCONJ
ap-916	115	25	given	give	VERB
ap-916	115	26	in	in	ADP
ap-916	115	27	(	(	PUNCT
ap-916	115	28	23	23	NUM
ap-916	115	29	)	)	PUNCT
ap-916	115	30	analytic	analytic	NOUN
ap-916	115	31	around	around	ADP
ap-916	115	32	s	s	PART
ap-916	115	33	�	�	PROPN
ap-916	115	34	0	0	NUM
ap-916	115	35	.	.	PUNCT
ap-916	116	1	on	on	ADP
ap-916	116	2	the	the	DET
ap-916	116	3	other	other	ADJ
ap-916	116	4	hand	hand	NOUN
ap-916	116	5	,	,	PUNCT
ap-916	116	6	for	for	ADP
ap-916	116	7	�	�	PROPN
ap-916	116	8	as	as	ADP
ap-916	116	9	s	s	NOUN
ap-916	116	10	(	(	PUNCT
ap-916	116	11	)	)	PUNCT
ap-916	116	12	the	the	DET
ap-916	116	13	analytic	analytic	ADJ
ap-916	116	14	continuation	continuation	NOUN
ap-916	116	15	to	to	ADP
ap-916	116	16	s	s	PROPN
ap-916	116	17	�	�	PROPN
ap-916	116	18	0	0	NUM
ap-916	116	19	can	can	AUX
ap-916	116	20	be	be	AUX
ap-916	116	21	constructed	construct	VERB
ap-916	116	22	in	in	ADP
ap-916	116	23	closed	closed	ADJ
ap-916	116	24	form	form	NOUN
ap-916	116	25	using	use	VERB
ap-916	116	26	an	an	DET
ap-916	116	27	explicit	explicit	ADJ
ap-916	116	28	representation	representation	NOUN
ap-916	116	29	of	of	ADP
ap-916	116	30	the	the	DET
ap-916	116	31	asymptotic	asymptotic	ADJ
ap-916	116	32	behavior	behavior	NOUN
ap-916	116	33	of	of	ADP
ap-916	116	34	the	the	DET
ap-916	116	35	jost	jost	NOUN
ap-916	116	36	function	function	NOUN
ap-916	116	37	,	,	PUNCT
ap-916	116	38	derived	derive	VERB
ap-916	116	39	in	in	ADP
ap-916	116	40	the	the	DET
ap-916	116	41	next	next	ADJ
ap-916	116	42	section	section	NOUN
ap-916	116	43	.	.	PUNCT
ap-916	117	1	2.1	2.1	NUM
ap-916	117	2	asymptotics	asymptotic	NOUN
ap-916	117	3	of	of	ADP
ap-916	117	4	the	the	DET
ap-916	117	5	jost	jost	NOUN
ap-916	117	6	function	function	VERB
ap-916	117	7	the	the	DET
ap-916	117	8	asymptotics	asymptotic	NOUN
ap-916	117	9	of	of	ADP
ap-916	117	10	the	the	DET
ap-916	117	11	jost	jost	PROPN
ap-916	117	12	function	function	PROPN
ap-916	117	13	f	f	PROPN
ap-916	117	14	ikl	ikl	PROPN
ap-916	117	15	(	(	PUNCT
ap-916	117	16	)	)	PUNCT
ap-916	117	17	follows	follow	VERB
ap-916	117	18	from	from	ADP
ap-916	117	19	standard	standard	ADJ
ap-916	117	20	results	result	NOUN
ap-916	117	21	in	in	ADP
ap-916	117	22	scattering	scatter	VERB
ap-916	117	23	theory	theory	NOUN
ap-916	117	24	[	[	X
ap-916	117	25	15	15	NUM
ap-916	117	26	]	]	PUNCT
ap-916	117	27	.	.	PUNCT
ap-916	118	1	in	in	ADP
ap-916	118	2	particular	particular	ADJ
ap-916	118	3	,	,	PUNCT
ap-916	118	4	the	the	DET
ap-916	118	5	partial	partial	ADJ
ap-916	118	6	-	-	PUNCT
ap-916	118	7	wave	wave	NOUN
ap-916	118	8	lippmann	lippmann	NOUN
ap-916	118	9	-	-	PUNCT
ap-916	118	10	schwinger	schwinger	NOUN
ap-916	118	11	integral	integral	ADJ
ap-916	118	12	equation	equation	NOUN
ap-916	118	13	for	for	ADP
ap-916	118	14	the	the	DET
ap-916	118	15	regular	regular	ADJ
ap-916	118	16	solution	solution	NOUN
ap-916	118	17	%	%	NOUN
ap-916	118	18	&	&	CCONJ
ap-916	118	19	�	�	PROPN
ap-916	118	20	�	�	PROPN
ap-916	118	21	�	�	PROPN
ap-916	118	22	�	�	PROPN
ap-916	118	23	�	�	PROPN
ap-916	118	24	(	(	PUNCT
ap-916	118	25	)	)	PUNCT
ap-916	118	26	,	,	PUNCT
ap-916	118	27	(	(	PUNCT
ap-916	118	28	)	)	PUNCT
ap-916	118	29	(	(	PUNCT
ap-916	118	30	)	)	PUNCT
ap-916	118	31	(	(	PUNCT
ap-916	118	32	)	)	PUNCT
ap-916	118	33	(	(	PUNCT
ap-916	118	34	)	)	PUNCT
ap-916	118	35	(	(	PUNCT
ap-916	118	36	)	)	PUNCT
ap-916	118	37	(	(	PUNCT
ap-916	118	38	)	)	PUNCT
ap-916	118	39	l	l	NOUN
ap-916	119	1	ik	ik	INTJ
ap-916	119	2	r	r	NOUN
ap-916	120	1	i	i	NOUN
ap-916	120	2	kr	kr	PROPN
ap-916	120	3	r	r	NOUN
ap-916	120	4	r	r	NOUN
ap-916	121	1	i	i	NOUN
ap-916	121	2	kr	kr	PROPN
ap-916	122	1	k	k	PROPN
ap-916	122	2	kr	kr	PROPN
ap-916	123	1	i	i	PRON
ap-916	123	2	kr	kr	PROPN
ap-916	123	3	k	k	PROPN
ap-916	123	4	kr	kr	PROPN
ap-916	123	5	�	�	PROPN
ap-916	123	6	�	�	PROPN
ap-916	123	7	�	�	PROPN
ap-916	123	8	�	�	PROPN
ap-916	123	9	�	�	PROPN
ap-916	123	10	�	�	PROPN
ap-916	123	11	�	�	PROPN
ap-916	123	12	d	d	PROPN
ap-916	123	13	v	v	NOUN
ap-916	123	14	r	r	NOUN
ap-916	123	15	rl	rl	X
ap-916	123	16	ik	ik	X
ap-916	123	17	r	r	NOUN
ap-916	123	18	(	(	PUNCT
ap-916	123	19	)	)	PUNCT
ap-916	123	20	(	(	PUNCT
ap-916	123	21	)	)	PUNCT
ap-916	123	22	.	.	PUNCT
ap-916	124	1	(	(	PUNCT
ap-916	124	2	)	)	PUNCT
ap-916	124	3	,	,	PUNCT
ap-916	124	4	�	�	PROPN
ap-916	124	5	�	�	PROPN
ap-916	124	6	�	�	PROPN
ap-916	124	7	0	0	NUM
ap-916	124	8	(	(	PUNCT
ap-916	124	9	25	25	NUM
ap-916	124	10	)	)	PUNCT
ap-916	124	11	leads	lead	VERB
ap-916	124	12	to	to	ADP
ap-916	124	13	an	an	DET
ap-916	124	14	iterative	iterative	ADJ
ap-916	124	15	expansion	expansion	NOUN
ap-916	124	16	for	for	ADP
ap-916	124	17	f	f	PROPN
ap-916	124	18	ikl	ikl	PROPN
ap-916	124	19	(	(	PUNCT
ap-916	124	20	)	)	PUNCT
ap-916	124	21	in	in	ADP
ap-916	124	22	powers	power	NOUN
ap-916	124	23	of	of	ADP
ap-916	124	24	the	the	DET
ap-916	124	25	potential	potential	ADJ
ap-916	124	26	v(r	v(r	NOUN
ap-916	124	27	)	)	PUNCT
ap-916	124	28	.	.	PUNCT
ap-916	125	1	for	for	ADP
ap-916	125	2	dimensions	dimension	NOUN
ap-916	125	3	d)4	d)4	PROPN
ap-916	125	4	,	,	PUNCT
ap-916	125	5	we	we	PRON
ap-916	125	6	need	need	VERB
ap-916	125	7	at	at	ADP
ap-916	125	8	most	most	ADJ
ap-916	125	9	the	the	DET
ap-916	125	10	�	�	PROPN
ap-916	125	11	(	(	PUNCT
ap-916	125	12	v	v	NOUN
ap-916	125	13	)	)	PUNCT
ap-916	125	14	and	and	CCONJ
ap-916	125	15	�	�	PROPN
ap-916	125	16	(	(	PUNCT
ap-916	125	17	v2	v2	NOUN
ap-916	125	18	)	)	PUNCT
ap-916	125	19	terms	term	NOUN
ap-916	125	20	of	of	ADP
ap-916	125	21	ln	ln	NOUN
ap-916	125	22	(	(	PUNCT
ap-916	125	23	)	)	PUNCT
ap-916	125	24	f	f	PROPN
ap-916	125	25	ikl	ikl	PROPN
ap-916	125	26	:	:	PUNCT
ap-916	126	1	ln	ln	X
ap-916	126	2	(	(	PUNCT
ap-916	126	3	)	)	PUNCT
ap-916	126	4	(	(	PUNCT
ap-916	126	5	)	)	PUNCT
ap-916	126	6	(	(	PUNCT
ap-916	126	7	)	)	PUNCT
ap-916	126	8	(	(	PUNCT
ap-916	126	9	)	)	PUNCT
ap-916	126	10	(	(	PUNCT
ap-916	126	11	)	)	PUNCT
ap-916	126	12	(	(	PUNCT
ap-916	126	13	)	)	PUNCT
ap-916	126	14	f	f	PROPN
ap-916	127	1	ik	ik	INTJ
ap-916	127	2	r	r	NOUN
ap-916	127	3	r	r	NOUN
ap-916	128	1	v	v	NOUN
ap-916	128	2	r	r	NOUN
ap-916	128	3	k	k	NOUN
ap-916	128	4	kr	kr	PROPN
ap-916	129	1	i	i	PRON
ap-916	129	2	kr	kr	PROPN
ap-916	129	3	r	r	NOUN
ap-916	129	4	r	r	NOUN
ap-916	129	5	v	v	NOUN
ap-916	129	6	r	r	NOUN
ap-916	129	7	k	k	PROPN
ap-916	129	8	kr	kr	PROPN
ap-916	129	9	l	l	PROPN
ap-916	129	10	�	�	PROPN
ap-916	129	11	�	�	PROPN
ap-916	129	12	�	�	PROPN
ap-916	129	13	�	�	PROPN
ap-916	129	14	�	�	PROPN
ap-916	129	15	�	�	PROPN
ap-916	129	16	d	d	PROPN
ap-916	129	17	d	d	PROPN
ap-916	129	18	d	d	X
ap-916	129	19	�	�	PROPN
ap-916	129	20	�	�	PROPN
ap-916	129	21	�	�	PROPN
ap-916	129	22	0	0	NUM
ap-916	129	23	2	2	NUM
ap-916	129	24	0	0	NUM
ap-916	129	25	�	�	PROPN
ap-916	129	26	�	�	PROPN
ap-916	129	27	�	�	PROPN
ap-916	129	28	�	�	PROPN
ap-916	129	29	�	�	PROPN
ap-916	129	30	�	�	PROPN
ap-916	129	31	r	r	NOUN
ap-916	129	32	r	r	NOUN
ap-916	129	33	v	v	NOUN
ap-916	129	34	r	r	NOUN
ap-916	130	1	i	i	PRON
ap-916	130	2	kr	kr	PROPN
ap-916	130	3	v	v	NOUN
ap-916	130	4	r	r	NOUN
ap-916	130	5	(	(	PUNCT
ap-916	130	6	)	)	PUNCT
ap-916	130	7	(	(	PUNCT
ap-916	130	8	)	)	PUNCT
ap-916	130	9	(	(	PUNCT
ap-916	130	10	)	)	PUNCT
ap-916	130	11	.	.	PUNCT
ap-916	131	1	�	�	PROPN
ap-916	131	2	2	2	NUM
ap-916	131	3	0	0	NUM
ap-916	131	4	3	3	NUM
ap-916	131	5	�	�	PROPN
ap-916	131	6	(	(	PUNCT
ap-916	131	7	26	26	NUM
ap-916	131	8	)	)	PUNCT
ap-916	131	9	this	this	DET
ap-916	131	10	iterative	iterative	NOUN
ap-916	131	11	scheme	scheme	NOUN
ap-916	131	12	effectively	effectively	ADV
ap-916	131	13	reduces	reduce	VERB
ap-916	131	14	the	the	DET
ap-916	131	15	calculation	calculation	NOUN
ap-916	131	16	of	of	ADP
ap-916	131	17	the	the	DET
ap-916	131	18	asymptotics	asymptotic	NOUN
ap-916	131	19	of	of	ADP
ap-916	131	20	the	the	DET
ap-916	131	21	jost	jost	NOUN
ap-916	131	22	function	function	NOUN
ap-916	131	23	to	to	ADP
ap-916	131	24	the	the	DET
ap-916	131	25	well	well	ADV
ap-916	131	26	-	-	PUNCT
ap-916	131	27	known	know	VERB
ap-916	131	28	uniform	uniform	ADJ
ap-916	131	29	asymptotics	asymptotic	NOUN
ap-916	131	30	of	of	ADP
ap-916	131	31	the	the	DET
ap-916	131	32	modified	modify	VERB
ap-916	131	33	bessel	bessel	NOUN
ap-916	131	34	functions	function	NOUN
ap-916	131	35	k	k	X
ap-916	131	36	*	*	PUNCT
ap-916	132	1	and	and	CCONJ
ap-916	132	2	i	i	PRON
ap-916	132	3	*	*	PROPN
ap-916	132	4	.	.	PUNCT
ap-916	133	1	using	use	VERB
ap-916	133	2	these	these	DET
ap-916	133	3	asymptotics	asymptotic	NOUN
ap-916	133	4	,	,	PUNCT
ap-916	133	5	wedefine	wedefine	NOUN
ap-916	133	6	ln	ln	PROPN
ap-916	133	7	(	(	PUNCT
ap-916	133	8	)	)	PUNCT
ap-916	133	9	f	f	PROPN
ap-916	133	10	ikl	ikl	PROPN
ap-916	133	11	asym	asym	PROPN
ap-916	133	12	as	as	ADP
ap-916	133	13	the	the	DET
ap-916	133	14	�	�	PROPN
ap-916	133	15	(	(	PUNCT
ap-916	133	16	v	v	NOUN
ap-916	133	17	)	)	PUNCT
ap-916	133	18	and	and	CCONJ
ap-916	133	19	�	�	PROPN
ap-916	133	20	(	(	PUNCT
ap-916	133	21	v2	v2	NOUN
ap-916	133	22	)	)	PUNCT
ap-916	133	23	parts	part	NOUN
ap-916	133	24	of	of	ADP
ap-916	133	25	this	this	DET
ap-916	133	26	uniform	uniform	ADJ
ap-916	133	27	asymptotic	asymptotic	ADJ
ap-916	133	28	expansion	expansion	NOUN
ap-916	133	29	:	:	PUNCT
ap-916	133	30	©	©	PROPN
ap-916	133	31	czech	czech	PROPN
ap-916	133	32	technical	technical	PROPN
ap-916	133	33	university	university	PROPN
ap-916	133	34	publishing	publishing	NOUN
ap-916	133	35	house	house	NOUN
ap-916	133	36	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	133	37	5	5	NUM
ap-916	133	38	acta	acta	PROPN
ap-916	133	39	polytechnica	polytechnica	PROPN
ap-916	133	40	vol	vol	NOUN
ap-916	133	41	.	.	PUNCT
ap-916	134	1	47	47	NUM
ap-916	134	2	no	no	INTJ
ap-916	134	3	.	.	PUNCT
ap-916	135	1	2–3/2007	2–3/2007	NUM
ap-916	135	2	ln	ln	NOUN
ap-916	135	3	(	(	PUNCT
ap-916	135	4	)	)	PUNCT
ap-916	135	5	(	(	PUNCT
ap-916	135	6	)	)	PUNCT
ap-916	135	7	f	f	PROPN
ap-916	135	8	ik	ik	INTJ
ap-916	135	9	r	r	NOUN
ap-916	135	10	r	r	NOUN
ap-916	135	11	v	v	NOUN
ap-916	135	12	r	r	NOUN
ap-916	135	13	kr	kr	PROPN
ap-916	135	14	l	l	PROPN
ap-916	135	15	asym	asym	PROPN
ap-916	135	16	�	�	PROPN
ap-916	135	17	�	�	PROPN
ap-916	135	18	�	�	PROPN
ap-916	135	19	�	�	PROPN
ap-916	135	20	�	�	PROPN
ap-916	135	21	�	�	PROPN
ap-916	135	22	�	�	PROPN
ap-916	135	23	�	�	PROPN
ap-916	135	24	�	�	PROPN
ap-916	135	25	�	�	PROPN
ap-916	135	26	�	�	PROPN
ap-916	135	27	�	�	PROPN
ap-916	135	28	�	�	PROPN
ap-916	135	29	�	�	PROPN
ap-916	135	30	�	�	PROPN
ap-916	135	31	1	1	NUM
ap-916	135	32	2	2	NUM
ap-916	135	33	1	1	NUM
ap-916	135	34	1	1	NUM
ap-916	135	35	2	2	NUM
ap-916	135	36	1	1	NUM
ap-916	135	37	20	20	NUM
ap-916	135	38	�	�	PROPN
ap-916	135	39	�	�	PROPN
ap-916	136	1	d	d	NOUN
ap-916	136	2	1	1	NUM
ap-916	136	3	1	1	NUM
ap-916	136	4	1	1	NUM
ap-916	136	5	6	6	NUM
ap-916	136	6	1	1	NUM
ap-916	136	7	3	3	NUM
ap-916	136	8	2	2	NUM
ap-916	136	9	3	3	NUM
ap-916	136	10	2	2	NUM
ap-916	136	11	2	2	NUM
ap-916	136	12	�	�	PROPN
ap-916	136	13	�	�	PROPN
ap-916	136	14	�	�	PROPN
ap-916	136	15	�	�	PROPN
ap-916	136	16	dr	dr	PROPN
ap-916	136	17	r	r	NOUN
ap-916	136	18	v	v	NOUN
ap-916	136	19	r	r	NOUN
ap-916	136	20	kr	kr	PROPN
ap-916	136	21	kr	kr	PROPN
ap-916	136	22	(	(	PUNCT
ap-916	136	23	)	)	PUNCT
ap-916	136	24	�	�	PROPN
ap-916	136	25	�	�	PROPN
ap-916	136	26	�	�	PROPN
ap-916	136	27	�	�	PROPN
ap-916	136	28	�	�	PROPN
ap-916	136	29	�	�	PROPN
ap-916	136	30	�	�	PROPN
ap-916	136	31	�	�	PROPN
ap-916	136	32	�	�	PROPN
ap-916	136	33	�	�	PROPN
ap-916	136	34	�	�	PROPN
ap-916	136	35	�	�	PROPN
ap-916	136	36	�	�	PROPN
ap-916	136	37	�	�	PROPN
ap-916	136	38	�	�	PROPN
ap-916	136	39	�	�	PROPN
ap-916	136	40	�	�	PROPN
ap-916	136	41	�	�	PROPN
ap-916	136	42	�	�	PROPN
ap-916	136	43	�	�	PROPN
ap-916	136	44	�	�	PROPN
ap-916	136	45	�	�	PROPN
ap-916	136	46	�	�	PROPN
ap-916	136	47	�	�	PROPN
ap-916	136	48	�	�	PROPN
ap-916	136	49	�	�	PROPN
ap-916	136	50	�	�	PROPN
ap-916	136	51	�	�	PROPN
ap-916	136	52	�	�	PROPN
ap-916	136	53	�	�	PROPN
ap-916	136	54	�	�	PROPN
ap-916	136	55	�	�	PROPN
ap-916	136	56	�	�	PROPN
ap-916	136	57	�	�	PROPN
ap-916	136	58	�	�	PROPN
ap-916	136	59	�	�	PROPN
ap-916	136	60	�	�	PROPN
ap-916	136	61	�	�	PROPN
ap-916	136	62	�	�	PROPN
ap-916	136	63	�	�	PROPN
ap-916	136	64	�	�	PROPN
ap-916	136	65	�	�	PROPN
ap-916	136	66	�	�	PROPN
ap-916	136	67	�	�	PROPN
ap-916	136	68	�	�	PROPN
ap-916	136	69	�	�	PROPN
ap-916	136	70	�	�	PROPN
ap-916	136	71	�	�	PROPN
ap-916	136	72	�	�	PROPN
ap-916	136	73	�	�	PROPN
ap-916	136	74	�	�	PROPN
ap-916	136	75	5	5	NUM
ap-916	136	76	1	1	NUM
ap-916	136	77	1	1	NUM
ap-916	136	78	2	2	NUM
ap-916	136	79	2	2	NUM
ap-916	136	80	0	0	NUM
ap-916	136	81	kr	kr	PROPN
ap-916	136	82	�	�	PROPN
ap-916	136	83	8	8	NUM
ap-916	136	84	1	1	NUM
ap-916	136	85	3	3	NUM
ap-916	136	86	3	3	NUM
ap-916	136	87	2	2	NUM
ap-916	136	88	2	2	NUM
ap-916	136	89	3	3	NUM
ap-916	136	90	20	20	NUM
ap-916	136	91	�	�	PROPN
ap-916	136	92	�	�	PROPN
ap-916	136	93	dr	dr	PROPN
ap-916	136	94	r	r	NOUN
ap-916	136	95	v	v	NOUN
ap-916	136	96	r	r	NOUN
ap-916	136	97	kr	kr	PROPN
ap-916	136	98	(	(	PUNCT
ap-916	136	99	)	)	PUNCT
ap-916	136	100	.	.	PUNCT
ap-916	137	1	�	�	PROPN
ap-916	137	2	�	�	PROPN
ap-916	137	3	�	�	PROPN
ap-916	137	4	�	�	PROPN
ap-916	137	5	�	�	PROPN
ap-916	137	6	�	�	PROPN
ap-916	137	7	�	�	PROPN
ap-916	137	8	�	�	PROPN
ap-916	137	9	�	�	PROPN
ap-916	137	10	�	�	PROPN
ap-916	137	11	�	�	PROPN
ap-916	137	12	�	�	PROPN
ap-916	137	13	�	�	PROPN
ap-916	137	14	�	�	PROPN
ap-916	137	15	(	(	PUNCT
ap-916	137	16	27	27	NUM
ap-916	137	17	)	)	PUNCT
ap-916	137	18	2.2	2.2	NUM
ap-916	137	19	computing	compute	VERB
ap-916	137	20	�	�	PROPN
ap-916	137	21	�	�	PROPN
ap-916	137	22	f	f	PROPN
ap-916	137	23	(	(	PUNCT
ap-916	137	24	)	)	PUNCT
ap-916	137	25	0	0	NUM
ap-916	137	26	by	by	ADP
ap-916	137	27	construction	construction	NOUN
ap-916	137	28	,	,	PUNCT
ap-916	137	29	�	�	PROPN
ap-916	137	30	(	(	PUNCT
ap-916	137	31	)	)	PUNCT
ap-916	137	32	s	s	PART
ap-916	137	33	,	,	PUNCT
ap-916	137	34	defined	define	VERB
ap-916	137	35	in	in	ADP
ap-916	137	36	(	(	PUNCT
ap-916	137	37	23	23	NUM
ap-916	137	38	)	)	PUNCT
ap-916	137	39	,	,	PUNCT
ap-916	137	40	is	be	AUX
ap-916	137	41	now	now	ADV
ap-916	137	42	well	well	ADV
ap-916	137	43	defined	define	VERB
ap-916	137	44	at	at	ADP
ap-916	137	45	s	s	PROPN
ap-916	137	46	�	�	PROPN
ap-916	137	47	0	0	NUM
ap-916	137	48	,	,	PUNCT
ap-916	137	49	and	and	CCONJ
ap-916	137	50	we	we	PRON
ap-916	137	51	find	find	VERB
ap-916	137	52	%	%	NOUN
ap-916	137	53	&	&	CCONJ
ap-916	137	54	�	�	PROPN
ap-916	137	55	�	�	PROPN
ap-916	137	56	�	�	PROPN
ap-916	137	57	�	�	PROPN
ap-916	137	58	�	�	PROPN
ap-916	137	59	�	�	PROPN
ap-916	137	60	�	�	PROPN
ap-916	137	61	�	�	PROPN
ap-916	137	62	f	f	PROPN
ap-916	137	63	l	l	PROPN
ap-916	137	64	l	l	NOUN
ap-916	137	65	asym	asym	PROPN
ap-916	137	66	l	l	PROPN
ap-916	137	67	l	l	PUNCT
ap-916	138	1	d	d	X
ap-916	138	2	f	f	X
ap-916	139	1	i	i	PRON
ap-916	139	2	m	m	VERB
ap-916	139	3	f	f	VERB
ap-916	140	1	i	i	PRON
ap-916	140	2	m	m	PROPN
ap-916	140	3	(	(	PUNCT
ap-916	140	4	)	)	PUNCT
ap-916	140	5	deg	deg	PROPN
ap-916	140	6	(	(	PUNCT
ap-916	140	7	;	;	PUNCT
ap-916	140	8	)	)	PUNCT
ap-916	140	9	ln	ln	X
ap-916	140	10	(	(	PUNCT
ap-916	140	11	)	)	PUNCT
ap-916	140	12	ln	ln	INTJ
ap-916	140	13	(	(	PUNCT
ap-916	140	14	)	)	PUNCT
ap-916	140	15	0	0	NUM
ap-916	140	16	0	0	NUM
ap-916	140	17	.	.	PUNCT
ap-916	141	1	(	(	PUNCT
ap-916	141	2	28	28	NUM
ap-916	141	3	)	)	PUNCT
ap-916	141	4	this	this	DET
ap-916	141	5	form	form	NOUN
ap-916	141	6	is	be	AUX
ap-916	141	7	suitable	suitable	ADJ
ap-916	141	8	for	for	ADP
ap-916	141	9	straightforward	straightforward	ADJ
ap-916	141	10	numerical	numerical	ADJ
ap-916	141	11	computation	computation	NOUN
ap-916	141	12	,	,	PUNCT
ap-916	141	13	as	as	SCONJ
ap-916	141	14	the	the	DET
ap-916	141	15	jost	jost	NOUN
ap-916	141	16	function	function	NOUN
ap-916	141	17	f	f	PROPN
ap-916	141	18	iml	iml	PROPN
ap-916	141	19	(	(	PUNCT
ap-916	141	20	)	)	PUNCT
ap-916	141	21	can	can	AUX
ap-916	141	22	be	be	AUX
ap-916	141	23	computed	compute	VERB
ap-916	141	24	using	use	VERB
ap-916	141	25	(	(	PUNCT
ap-916	141	26	9	9	NUM
ap-916	141	27	)	)	PUNCT
ap-916	141	28	and	and	CCONJ
ap-916	141	29	(	(	PUNCT
ap-916	141	30	21	21	NUM
ap-916	141	31	)	)	PUNCT
ap-916	141	32	,	,	PUNCT
ap-916	141	33	while	while	SCONJ
ap-916	141	34	ln	ln	ADV
ap-916	141	35	(	(	PUNCT
ap-916	141	36	)	)	PUNCT
ap-916	141	37	f	f	PROPN
ap-916	141	38	iml	iml	PROPN
ap-916	141	39	asym	asym	PROPN
ap-916	141	40	can	can	AUX
ap-916	141	41	be	be	AUX
ap-916	141	42	computed	compute	VERB
ap-916	141	43	using	use	VERB
ap-916	141	44	(	(	PUNCT
ap-916	141	45	27	27	NUM
ap-916	141	46	)	)	PUNCT
ap-916	141	47	.	.	PUNCT
ap-916	142	1	with	with	ADP
ap-916	142	2	the	the	DET
ap-916	142	3	subtraction	subtraction	NOUN
ap-916	142	4	of	of	ADP
ap-916	142	5	ln	ln	ADJ
ap-916	142	6	(	(	PUNCT
ap-916	142	7	)	)	PUNCT
ap-916	142	8	f	f	PROPN
ap-916	142	9	iml	iml	PROPN
ap-916	142	10	asym	asym	PROPN
ap-916	142	11	in	in	ADP
ap-916	142	12	(	(	PUNCT
ap-916	142	13	28	28	NUM
ap-916	142	14	)	)	PUNCT
ap-916	142	15	,	,	PUNCT
ap-916	142	16	the	the	DET
ap-916	142	17	l	l	NOUN
ap-916	142	18	sum	sum	NOUN
ap-916	142	19	is	be	AUX
ap-916	142	20	now	now	ADV
ap-916	142	21	convergent	convergent	ADJ
ap-916	142	22	.	.	PUNCT
ap-916	143	1	however	however	ADV
ap-916	143	2	,	,	PUNCT
ap-916	143	3	it	it	PRON
ap-916	143	4	is	be	AUX
ap-916	143	5	possible	possible	ADJ
ap-916	143	6	to	to	PART
ap-916	143	7	find	find	VERB
ap-916	143	8	an	an	DET
ap-916	143	9	even	even	ADV
ap-916	143	10	simpler	simple	ADJ
ap-916	143	11	expression	expression	NOUN
ap-916	143	12	.	.	PUNCT
ap-916	144	1	it	it	PRON
ap-916	144	2	turns	turn	VERB
ap-916	144	3	out	out	ADP
ap-916	144	4	that	that	SCONJ
ap-916	144	5	the	the	DET
ap-916	144	6	subtraction	subtraction	NOUN
ap-916	144	7	in	in	ADP
ap-916	144	8	(	(	PUNCT
ap-916	144	9	28	28	NUM
ap-916	144	10	)	)	PUNCT
ap-916	144	11	is	be	AUX
ap-916	144	12	an	an	DET
ap-916	144	13	over	over	ADP
ap-916	144	14	-	-	PUNCT
ap-916	144	15	subtraction	subtraction	NOUN
ap-916	144	16	.	.	PUNCT
ap-916	145	1	to	to	PART
ap-916	145	2	see	see	VERB
ap-916	145	3	this	this	PRON
ap-916	145	4	,	,	PUNCT
ap-916	145	5	expand	expand	VERB
ap-916	145	6	ln	ln	NOUN
ap-916	145	7	(	(	PUNCT
ap-916	145	8	)	)	PUNCT
ap-916	145	9	f	f	PROPN
ap-916	145	10	iml	iml	PROPN
ap-916	145	11	asym	asym	PROPN
ap-916	145	12	into	into	ADP
ap-916	145	13	its	its	PRON
ap-916	145	14	large	large	ADJ
ap-916	145	15	l	l	NOUN
ap-916	145	16	behavior	behavior	NOUN
ap-916	145	17	as	as	SCONJ
ap-916	145	18	follows	follow	VERB
ap-916	145	19	:	:	PUNCT
ap-916	145	20	ln	ln	ADJ
ap-916	145	21	(	(	PUNCT
ap-916	145	22	)	)	PUNCT
ap-916	145	23	~	~	PUNCT
ap-916	145	24	(	(	PUNCT
ap-916	145	25	)	)	PUNCT
ap-916	145	26	(	(	PUNCT
ap-916	145	27	)	)	PUNCT
ap-916	145	28	f	f	PROPN
ap-916	146	1	i	i	PRON
ap-916	146	2	m	m	VERB
ap-916	146	3	r	r	NOUN
ap-916	146	4	r	r	NOUN
ap-916	146	5	v	v	NOUN
ap-916	146	6	r	r	NOUN
ap-916	146	7	r	r	NOUN
ap-916	146	8	r	r	NOUN
ap-916	146	9	v	v	NOUN
ap-916	146	10	v	v	NOUN
ap-916	146	11	m	m	NOUN
ap-916	146	12	r	r	NOUN
ap-916	146	13	rl	rl	X
ap-916	146	14	asym	asym	PROPN
ap-916	146	15	1	1	NUM
ap-916	146	16	2	2	NUM
ap-916	146	17	1	1	NUM
ap-916	146	18	8	8	NUM
ap-916	146	19	2	2	NUM
ap-916	146	20	1	1	NUM
ap-916	146	21	2	2	NUM
ap-916	146	22	0	0	NUM
ap-916	146	23	3	3	NUM
ap-916	146	24	3	3	NUM
ap-916	146	25	2	2	NUM
ap-916	146	26	�	�	PROPN
ap-916	146	27	�	�	PROPN
ap-916	146	28	�	�	PROPN
ap-916	146	29	d	d	PROPN
ap-916	146	30	d	d	PROPN
ap-916	146	31	d	d	PROPN
ap-916	146	32	�	�	PROPN
ap-916	146	33	�	�	PROPN
ap-916	146	34	�	�	PROPN
ap-916	146	35	�	�	PROPN
ap-916	146	36	�	�	PROPN
ap-916	146	37	v	v	NOUN
ap-916	146	38	r	r	NOUN
ap-916	146	39	mr	mr	PROPN
ap-916	146	40	mr	mr	PROPN
ap-916	146	41	(	(	PUNCT
ap-916	146	42	)	)	PUNCT
ap-916	146	43	1	1	NUM
ap-916	146	44	1	1	NUM
ap-916	146	45	1	1	NUM
ap-916	146	46	2	2	NUM
ap-916	146	47	2	2	NUM
ap-916	146	48	1	1	NUM
ap-916	146	49	2	2	NUM
ap-916	146	50	2	2	NUM
ap-916	146	51	�	�	PROPN
ap-916	146	52	�	�	PROPN
ap-916	146	53	�	�	PROPN
ap-916	146	54	�	�	PROPN
ap-916	146	55	�	�	PROPN
ap-916	146	56	�	�	PROPN
ap-916	146	57	�	�	PROPN
ap-916	146	58	�	�	PROPN
ap-916	146	59	�	�	PROPN
ap-916	146	60	�	�	PROPN
ap-916	146	61	�	�	PROPN
ap-916	146	62	�	�	PROPN
ap-916	146	63	�	�	PROPN
ap-916	146	64	�	�	PROPN
ap-916	146	65	�	�	PROPN
ap-916	146	66	�	�	PROPN
ap-916	146	67	�	�	PROPN
ap-916	146	68	�	�	PROPN
ap-916	146	69	�	�	PROPN
ap-916	146	70	�	�	PROPN
ap-916	146	71	�	�	PROPN
ap-916	146	72	�	�	PROPN
ap-916	146	73	�	�	PROPN
ap-916	146	74	�	�	PROPN
ap-916	146	75	�	�	PROPN
ap-916	146	76	�	�	PROPN
ap-916	146	77	�	�	PROPN
ap-916	146	78	�	�	PROPN
ap-916	146	79	�	�	PROPN
ap-916	146	80	�	�	PROPN
ap-916	146	81	�	�	PROPN
ap-916	146	82	�	�	PROPN
ap-916	146	83	�	�	PROPN
ap-916	146	84	�	�	PROPN
ap-916	146	85	�	�	PROPN
ap-916	146	86	�	�	PROPN
ap-916	146	87	�	�	PROPN
ap-916	146	88	�	�	PROPN
ap-916	146	89	�	�	PROPN
ap-916	146	90	�	�	PROPN
ap-916	146	91	�	�	PROPN
ap-916	146	92	�	�	PROPN
ap-916	146	93	�	�	PROPN
ap-916	146	94	�	�	PROPN
ap-916	146	95	�	�	PROPN
ap-916	146	96	�	�	PROPN
ap-916	146	97	�	�	PROPN
ap-916	146	98	�	�	PROPN
ap-916	146	99	�	�	PROPN
ap-916	146	100	�	�	PROPN
ap-916	146	101	�	�	PROPN
ap-916	146	102	00	00	NUM
ap-916	146	103	3	3	NUM
ap-916	146	104	2	2	NUM
ap-916	146	105	3	3	NUM
ap-916	146	106	2	2	NUM
ap-916	146	107	1	1	NUM
ap-916	146	108	1	1	NUM
ap-916	146	109	1	1	NUM
ap-916	146	110	1	1	NUM
ap-916	146	111	6	6	NUM
ap-916	146	112	1	1	NUM
ap-916	146	113	�	�	PROPN
ap-916	146	114	�	�	PROPN
ap-916	146	115	�	�	PROPN
ap-916	146	116	dr	dr	PROPN
ap-916	146	117	r	r	NOUN
ap-916	146	118	v	v	NOUN
ap-916	146	119	r	r	NOUN
ap-916	146	120	mr	mr	PROPN
ap-916	146	121	mr	mr	PROPN
ap-916	146	122	(	(	PUNCT
ap-916	146	123	)	)	PUNCT
ap-916	146	124	�	�	PROPN
ap-916	146	125	�	�	PROPN
ap-916	146	126	�	�	PROPN
ap-916	146	127	�	�	PROPN
ap-916	146	128	�	�	PROPN
ap-916	146	129	�	�	PROPN
ap-916	146	130	�	�	PROPN
ap-916	146	131	�	�	PROPN
ap-916	146	132	�	�	PROPN
ap-916	146	133	�	�	PROPN
ap-916	146	134	�	�	PROPN
ap-916	146	135	�	�	PROPN
ap-916	146	136	�	�	PROPN
ap-916	146	137	�	�	PROPN
ap-916	146	138	�	�	PROPN
ap-916	146	139	�	�	PROPN
ap-916	146	140	�	�	PROPN
ap-916	146	141	�	�	PROPN
ap-916	146	142	�	�	PROPN
ap-916	146	143	�	�	PROPN
ap-916	146	144	�	�	PROPN
ap-916	146	145	�	�	PROPN
ap-916	146	146	�	�	PROPN
ap-916	146	147	�	�	PROPN
ap-916	146	148	�	�	PROPN
ap-916	146	149	�	�	PROPN
ap-916	146	150	�	�	PROPN
ap-916	146	151	�	�	PROPN
ap-916	146	152	�	�	PROPN
ap-916	146	153	�	�	PROPN
ap-916	146	154	�	�	PROPN
ap-916	146	155	�	�	PROPN
ap-916	146	156	�	�	PROPN
ap-916	146	157	�	�	PROPN
ap-916	146	158	�	�	PROPN
ap-916	146	159	�	�	PROPN
ap-916	146	160	2	2	NUM
ap-916	146	161	2	2	NUM
ap-916	146	162	2	2	NUM
ap-916	146	163	5	5	NUM
ap-916	146	164	1	1	NUM
ap-916	146	165	mr	mr	PROPN
ap-916	146	166	�	�	PROPN
ap-916	146	167	�	�	PROPN
ap-916	146	168	�	�	PROPN
ap-916	146	169	�	�	PROPN
ap-916	146	170	�	�	PROPN
ap-916	146	171	�	�	PROPN
ap-916	146	172	�	�	PROPN
ap-916	146	173	�	�	PROPN
ap-916	146	174	�	�	PROPN
ap-916	146	175	�	�	PROPN
ap-916	146	176	�	�	PROPN
ap-916	146	177	�	�	PROPN
ap-916	146	178	�	�	PROPN
ap-916	146	179	�	�	PROPN
ap-916	146	180	�	�	PROPN
ap-916	146	181	�	�	PROPN
ap-916	146	182	�	�	PROPN
ap-916	146	183	�	�	PROPN
ap-916	146	184	�	�	PROPN
ap-916	146	185	�	�	PROPN
ap-916	146	186	0	0	NUM
ap-916	146	187	3	3	NUM
ap-916	146	188	3	3	NUM
ap-916	146	189	2	2	NUM
ap-916	146	190	2	2	NUM
ap-916	146	191	3	3	NUM
ap-916	146	192	21	21	NUM
ap-916	146	193	8	8	NUM
ap-916	146	194	1	1	NUM
ap-916	146	195	1	1	NUM
ap-916	146	196	�	�	PROPN
ap-916	146	197	�	�	PROPN
ap-916	146	198	dr	dr	PROPN
ap-916	146	199	r	r	NOUN
ap-916	146	200	v	v	NOUN
ap-916	146	201	r	r	NOUN
ap-916	146	202	mr	mr	PROPN
ap-916	146	203	(	(	PUNCT
ap-916	146	204	)	)	PUNCT
ap-916	146	205	�	�	PROPN
ap-916	146	206	�	�	PROPN
ap-916	146	207	�	�	PROPN
ap-916	146	208	�	�	PROPN
ap-916	146	209	�	�	PROPN
ap-916	146	210	�	�	PROPN
ap-916	146	211	�	�	PROPN
ap-916	146	212	�	�	PROPN
ap-916	146	213	�	�	PROPN
ap-916	146	214	0	0	NUM
ap-916	146	215	.	.	PUNCT
ap-916	147	1	(	(	PUNCT
ap-916	147	2	29	29	NUM
ap-916	147	3	)	)	PUNCT
ap-916	147	4	the	the	DET
ap-916	147	5	first	first	ADJ
ap-916	147	6	term	term	NOUN
ap-916	147	7	is	be	AUX
ap-916	147	8	�	�	NOUN
ap-916	147	9	(	(	PUNCT
ap-916	147	10	)	)	PUNCT
ap-916	147	11	1	1	NUM
ap-916	147	12	l	l	NOUN
ap-916	147	13	,	,	PUNCT
ap-916	147	14	and	and	CCONJ
ap-916	147	15	the	the	DET
ap-916	147	16	second	second	NOUN
ap-916	147	17	is	be	AUX
ap-916	147	18	�	�	NOUN
ap-916	147	19	(	(	PUNCT
ap-916	147	20	)	)	PUNCT
ap-916	147	21	1	1	NUM
ap-916	147	22	3l	3l	NUM
ap-916	147	23	,	,	PUNCT
ap-916	147	24	while	while	SCONJ
ap-916	147	25	the	the	DET
ap-916	147	26	remaining	remain	VERB
ap-916	147	27	terms	term	NOUN
ap-916	147	28	are	be	AUX
ap-916	147	29	all	all	PRON
ap-916	147	30	�	�	PROPN
ap-916	147	31	(	(	PUNCT
ap-916	147	32	)	)	PUNCT
ap-916	147	33	1	1	NUM
ap-916	147	34	5l	5l	NOUN
ap-916	147	35	.	.	PUNCT
ap-916	148	1	in	in	ADP
ap-916	148	2	dimensions	dimension	NOUN
ap-916	148	3	d	d	NOUN
ap-916	148	4	)	)	PUNCT
ap-916	148	5	4	4	NUM
ap-916	148	6	,	,	PUNCT
ap-916	148	7	the	the	DET
ap-916	148	8	degeneracy	degeneracy	NOUN
ap-916	148	9	factor	factor	NOUN
ap-916	148	10	deg(l;	deg(l;	PROPN
ap-916	148	11	d	d	X
ap-916	148	12	)	)	PUNCT
ap-916	148	13	is	be	AUX
ap-916	148	14	at	at	ADP
ap-916	148	15	most	most	ADJ
ap-916	148	16	quadratic	quadratic	ADJ
ap-916	148	17	in	in	ADP
ap-916	148	18	l	l	NOUN
ap-916	148	19	,	,	PUNCT
ap-916	148	20	and	and	CCONJ
ap-916	148	21	so	so	ADV
ap-916	148	22	these	these	DET
ap-916	148	23	last	last	ADJ
ap-916	148	24	terms	term	NOUN
ap-916	148	25	are	be	AUX
ap-916	148	26	finite	finite	ADJ
ap-916	148	27	when	when	SCONJ
ap-916	148	28	summed	sum	VERB
ap-916	148	29	over	over	ADP
ap-916	148	30	l	l	NOUN
ap-916	148	31	in	in	ADP
ap-916	148	32	(	(	PUNCT
ap-916	148	33	28	28	NUM
ap-916	148	34	)	)	PUNCT
ap-916	148	35	.	.	PUNCT
ap-916	149	1	(	(	PUNCT
ap-916	149	2	in	in	ADP
ap-916	149	3	fact	fact	NOUN
ap-916	149	4	,	,	PUNCT
ap-916	149	5	in	in	ADP
ap-916	149	6	d	d	PROPN
ap-916	149	7	�	�	PROPN
ap-916	149	8	2	2	NUM
ap-916	149	9	and	and	CCONJ
ap-916	149	10	d	d	PROPN
ap-916	149	11	�	�	PROPN
ap-916	149	12	3	3	NUM
ap-916	149	13	,	,	PUNCT
ap-916	149	14	the	the	DET
ap-916	149	15	�	�	PROPN
ap-916	149	16	(	(	PUNCT
ap-916	149	17	)	)	PUNCT
ap-916	149	18	1	1	NUM
ap-916	149	19	3l	3l	NUM
ap-916	149	20	terms	term	NOUN
ap-916	149	21	are	be	AUX
ap-916	149	22	also	also	ADV
ap-916	149	23	finite	finite	ADJ
ap-916	149	24	when	when	SCONJ
ap-916	149	25	summed	sum	VERB
ap-916	149	26	over	over	ADP
ap-916	149	27	l.	l.	PROPN
ap-916	149	28	)	)	PUNCT
ap-916	149	29	in	in	ADP
ap-916	149	30	the	the	DET
ap-916	149	31	next	next	ADJ
ap-916	149	32	section	section	NOUN
ap-916	149	33	we	we	PRON
ap-916	149	34	show	show	VERB
ap-916	149	35	that	that	SCONJ
ap-916	149	36	these	these	DET
ap-916	149	37	finite	finite	ADJ
ap-916	149	38	terms	term	NOUN
ap-916	149	39	cancel	cancel	VERB
ap-916	149	40	exactly	exactly	ADV
ap-916	149	41	against	against	ADP
ap-916	149	42	corresponding	correspond	VERB
ap-916	149	43	terms	term	NOUN
ap-916	149	44	arising	arise	VERB
ap-916	149	45	in	in	ADP
ap-916	149	46	the	the	DET
ap-916	149	47	evaluation	evaluation	NOUN
ap-916	149	48	of	of	ADP
ap-916	149	49	�	�	PROPN
ap-916	149	50	�	�	PROPN
ap-916	149	51	as	as	ADP
ap-916	149	52	(	(	PUNCT
ap-916	149	53	)	)	PUNCT
ap-916	149	54	0	0	NUM
ap-916	149	55	.	.	PUNCT
ap-916	150	1	thus	thus	ADV
ap-916	150	2	,	,	PUNCT
ap-916	150	3	for	for	ADP
ap-916	150	4	�	�	PROPN
ap-916	150	5	�	�	PROPN
ap-916	150	6	�	�	PROPN
ap-916	150	7	�	�	PROPN
ap-916	150	8	�	�	PROPN
ap-916	150	9	�	�	PROPN
ap-916	150	10	�	�	PROPN
ap-916	150	11	�	�	PROPN
ap-916	150	12	(	(	PUNCT
ap-916	150	13	)	)	PUNCT
ap-916	150	14	(	(	PUNCT
ap-916	150	15	)	)	PUNCT
ap-916	150	16	(	(	PUNCT
ap-916	150	17	)	)	PUNCT
ap-916	150	18	0	0	NUM
ap-916	150	19	0	0	NUM
ap-916	150	20	0f	0f	NOUN
ap-916	150	21	as	as	ADP
ap-916	150	22	,	,	PUNCT
ap-916	150	23	we	we	PRON
ap-916	150	24	only	only	ADV
ap-916	150	25	actually	actually	ADV
ap-916	150	26	need	need	VERB
ap-916	150	27	to	to	PART
ap-916	150	28	subtract	subtract	VERB
ap-916	150	29	the	the	DET
ap-916	150	30	leading	lead	VERB
ap-916	150	31	large	large	ADJ
ap-916	150	32	l	l	NOUN
ap-916	150	33	terms	term	NOUN
ap-916	150	34	in	in	ADP
ap-916	150	35	(	(	PUNCT
ap-916	150	36	29	29	NUM
ap-916	150	37	)	)	PUNCT
ap-916	150	38	,	,	PUNCT
ap-916	150	39	rather	rather	ADV
ap-916	150	40	than	than	ADP
ap-916	150	41	the	the	DET
ap-916	150	42	full	full	ADJ
ap-916	150	43	asymptotics	asymptotic	NOUN
ap-916	150	44	in	in	ADP
ap-916	150	45	(	(	PUNCT
ap-916	150	46	27	27	NUM
ap-916	150	47	)	)	PUNCT
ap-916	150	48	.	.	PUNCT
ap-916	151	1	2.3	2.3	NUM
ap-916	151	2	computing	compute	VERB
ap-916	151	3	�	�	PROPN
ap-916	151	4	�	�	PROPN
ap-916	151	5	as	as	ADP
ap-916	151	6	(	(	PUNCT
ap-916	151	7	)	)	PUNCT
ap-916	151	8	0	0	NUM
ap-916	151	9	the	the	DET
ap-916	151	10	explicit	explicit	ADJ
ap-916	151	11	form	form	NOUN
ap-916	151	12	of	of	ADP
ap-916	151	13	the	the	DET
ap-916	151	14	asymptotic	asymptotic	ADJ
ap-916	151	15	terms	term	NOUN
ap-916	151	16	in	in	ADP
ap-916	151	17	(	(	PUNCT
ap-916	151	18	28	28	NUM
ap-916	151	19	)	)	PUNCT
ap-916	151	20	provides	provide	VERB
ap-916	151	21	the	the	DET
ap-916	151	22	analytic	analytic	ADJ
ap-916	151	23	continuation	continuation	NOUN
ap-916	151	24	to	to	ADP
ap-916	151	25	s=0	s=0	PROPN
ap-916	151	26	of	of	ADP
ap-916	151	27	�	�	PROPN
ap-916	151	28	as	as	ADP
ap-916	151	29	s	s	NOUN
ap-916	151	30	(	(	PUNCT
ap-916	151	31	)	)	PUNCT
ap-916	151	32	,	,	PUNCT
ap-916	151	33	as	as	SCONJ
ap-916	151	34	defined	define	VERB
ap-916	151	35	in	in	ADP
ap-916	151	36	(	(	PUNCT
ap-916	151	37	24	24	NUM
ap-916	151	38	)	)	PUNCT
ap-916	151	39	.	.	PUNCT
ap-916	152	1	the	the	DET
ap-916	152	2	k	k	PROPN
ap-916	152	3	integrals	integral	NOUN
ap-916	152	4	are	be	AUX
ap-916	152	5	done	do	VERB
ap-916	152	6	using	use	VERB
ap-916	152	7	%	%	NOUN
ap-916	152	8	&	&	CCONJ
ap-916	152	9	dk	dk	PROPN
ap-916	152	10	k	k	PROPN
ap-916	152	11	m	m	VERB
ap-916	152	12	k	k	PROPN
ap-916	152	13	kr	kr	PROPN
ap-916	152	14	s	s	PART
ap-916	152	15	n	n	DET
ap-916	152	16	s	s	NOUN
ap-916	152	17	n	n	NOUN
ap-916	152	18	m	m	PROPN
ap-916	152	19	2	2	NUM
ap-916	152	20	2	2	NUM
ap-916	152	21	2	2	NUM
ap-916	152	22	2	2	NUM
ap-916	152	23	1	1	NUM
ap-916	152	24	2	2	NUM
ap-916	152	25	�	�	PROPN
ap-916	152	26	�	�	PROPN
ap-916	152	27	�	�	PROPN
ap-916	152	28	�	�	PROPN
ap-916	152	29	�	�	PROPN
ap-916	152	30	�	�	PROPN
ap-916	152	31	�	�	PROPN
ap-916	152	32	�	�	PROPN
ap-916	152	33	�	�	PROPN
ap-916	152	34	�	�	PROPN
ap-916	152	35	�	�	PROPN
ap-916	152	36	�	�	PROPN
ap-916	152	37	�	�	PROPN
ap-916	152	38	�	�	PROPN
ap-916	152	39	�	�	PROPN
ap-916	152	40	�	�	PROPN
ap-916	152	41	�	�	PROPN
ap-916	152	42	�	�	PROPN
ap-916	152	43	�	�	PROPN
ap-916	152	44	�	�	PROPN
ap-916	152	45	�	�	PROPN
ap-916	152	46	�	�	PROPN
ap-916	152	47	�	�	PROPN
ap-916	152	48	�	�	PROPN
ap-916	152	49	�	�	PROPN
ap-916	152	50	�	�	PROPN
ap-916	152	51	�	�	PROPN
ap-916	152	52	�	�	PROPN
ap-916	152	53	�	�	PROPN
ap-916	152	54	�	�	PROPN
ap-916	152	55	�	�	PROPN
ap-916	152	56	�	�	PROPN
ap-916	152	57	�	�	PROPN
ap-916	152	58	�	�	PROPN
ap-916	152	59	�	�	PROPN
ap-916	152	60	�	�	PROPN
ap-916	152	61	�	�	PROPN
ap-916	152	62	�	�	PROPN
ap-916	152	63	�	�	PROPN
ap-916	152	64	�	�	PROPN
ap-916	152	65	�	�	PROPN
ap-916	152	66	�	�	PROPN
ap-916	152	67	�	�	PROPN
ap-916	152	68	�	�	PROPN
ap-916	152	69	�	�	PROPN
ap-916	152	70	�	�	PROPN
ap-916	152	71	�	�	PROPN
ap-916	152	72	�	�	PROPN
ap-916	152	73	�	�	PROPN
ap-916	152	74	�	�	PROPN
ap-916	152	75	�	�	PROPN
ap-916	152	76	�	�	PROPN
ap-916	152	77	(	(	PUNCT
ap-916	152	78	)	)	SYM
ap-916	152	79	1	1	NUM
ap-916	152	80	2	2	NUM
ap-916	152	81	1	1	NUM
ap-916	152	82	2	2	NUM
ap-916	152	83	2	2	NUM
ap-916	152	84	s	s	NOUN
ap-916	152	85	n	n	PRON
ap-916	152	86	mr	mr	PROPN
ap-916	152	87	m	m	PROPN
ap-916	152	88	mr	mr	PROPN
ap-916	152	89	n	n	PROPN
ap-916	152	90	s	s	PROPN
ap-916	152	91	�	�	PROPN
ap-916	152	92	�	�	PROPN
ap-916	152	93	s	s	PART
ap-916	152	94	n	n	PRON
ap-916	152	95	�	�	PROPN
ap-916	152	96	2	2	NUM
ap-916	152	97	.	.	PUNCT
ap-916	153	1	(	(	PUNCT
ap-916	153	2	30	30	NUM
ap-916	153	3	)	)	PUNCT
ap-916	153	4	therefore	therefore	ADV
ap-916	153	5	,	,	PUNCT
ap-916	153	6	we	we	PRON
ap-916	153	7	find	find	VERB
ap-916	153	8	�	�	PROPN
ap-916	153	9	�	�	PROPN
ap-916	153	10	as	as	ADP
ap-916	153	11	ss	ss	NOUN
ap-916	153	12	l	l	NOUN
ap-916	154	1	d	d	NOUN
ap-916	154	2	r	r	NOUN
ap-916	154	3	r	r	NOUN
ap-916	154	4	v	v	NOUN
ap-916	154	5	r	r	NOUN
ap-916	154	6	s	s	NOUN
ap-916	154	7	s	s	X
ap-916	154	8	(	(	PUNCT
ap-916	154	9	)	)	PUNCT
ap-916	154	10	deg	deg	PROPN
ap-916	154	11	(	(	PUNCT
ap-916	154	12	;	;	PUNCT
ap-916	154	13	)	)	PUNCT
ap-916	154	14	(	(	PUNCT
ap-916	154	15	)	)	PUNCT
ap-916	154	16	(	(	PUNCT
ap-916	154	17	)	)	PUNCT
ap-916	154	18	(	(	PUNCT
ap-916	154	19	)	)	PUNCT
ap-916	154	20	(	(	PUNCT
ap-916	154	21	)	)	PUNCT
ap-916	154	22	�	�	PROPN
ap-916	154	23	�	�	PROPN
ap-916	154	24	�	�	PROPN
ap-916	154	25	�	�	PROPN
ap-916	154	26	�	�	PROPN
ap-916	154	27	�	�	PROPN
ap-916	155	1	d	d	NOUN
ap-916	155	2	1	1	NUM
ap-916	155	3	2	2	NUM
ap-916	155	4	1	1	NUM
ap-916	155	5	2	2	NUM
ap-916	155	6	1	1	NUM
ap-916	155	7	2	2	NUM
ap-916	155	8	1	1	NUM
ap-916	155	9	21	21	NUM
ap-916	155	10	2	2	NUM
ap-916	155	11	s	s	NOUN
ap-916	155	12	s	s	NOUN
ap-916	155	13	l	l	NOUN
ap-916	155	14	mr	mr	PROPN
ap-916	155	15	1	1	NUM
ap-916	155	16	2	2	NUM
ap-916	155	17	1	1	NUM
ap-916	155	18	2	2	NUM
ap-916	155	19	00	00	NUM
ap-916	155	20	�	�	PROPN
ap-916	155	21	�	�	PROPN
ap-916	155	22	�	�	PROPN
ap-916	155	23	�	�	PROPN
ap-916	155	24	�	�	PROPN
ap-916	155	25	�	�	PROPN
ap-916	155	26	�	�	PROPN
ap-916	155	27	�	�	PROPN
ap-916	155	28	�	�	PROPN
ap-916	155	29	�	�	PROPN
ap-916	155	30	�	�	PROPN
ap-916	155	31	�	�	PROPN
ap-916	155	32	�	�	PROPN
ap-916	155	33	�	�	PROPN
ap-916	155	34	�	�	PROPN
ap-916	155	35	�	�	PROPN
ap-916	155	36	�	�	PROPN
ap-916	155	37	�	�	PROPN
ap-916	155	38	�	�	PROPN
ap-916	155	39	�	�	PROPN
ap-916	155	40	�	�	PROPN
ap-916	155	41	�	�	PROPN
ap-916	155	42	�	�	PROPN
ap-916	155	43	�	�	PROPN
ap-916	155	44	�	�	PROPN
ap-916	155	45	�	�	PROPN
ap-916	155	46	�	�	PROPN
ap-916	155	47	�	�	PROPN
ap-916	155	48	�	�	PROPN
ap-916	155	49	�	�	PROPN
ap-916	155	50	�	�	PROPN
ap-916	155	51	�	�	PROPN
ap-916	155	52	�	�	PROPN
ap-916	155	53	�	�	PROPN
ap-916	155	54	�	�	PROPN
ap-916	155	55	�	�	PROPN
ap-916	155	56	�	�	PROPN
ap-916	155	57	�	�	PROPN
ap-916	155	58	�	�	PROPN
ap-916	155	59	�	�	PROPN
ap-916	155	60	�	�	PROPN
ap-916	155	61	�	�	PROPN
ap-916	155	62	�	�	PROPN
ap-916	155	63	�	�	PROPN
ap-916	155	64	�	�	PROPN
ap-916	155	65	�	�	PROPN
ap-916	155	66	�	�	PROPN
ap-916	155	67	�	�	PROPN
ap-916	155	68	�	�	PROPN
ap-916	155	69	�	�	PROPN
ap-916	155	70	�	�	PROPN
ap-916	155	71	�	�	PROPN
ap-916	155	72	�	�	PROPN
ap-916	155	73	1	1	NUM
ap-916	155	74	16	16	NUM
ap-916	155	75	1	1	NUM
ap-916	155	76	3	3	NUM
ap-916	155	77	2	2	NUM
ap-916	155	78	3	3	NUM
ap-916	155	79	2	2	NUM
ap-916	155	80	3	3	NUM
ap-916	155	81	2	2	NUM
ap-916	155	82	2	2	NUM
ap-916	155	83	3	3	NUM
ap-916	155	84	2	2	NUM
ap-916	155	85	(	(	PUNCT
ap-916	155	86	)	)	PUNCT
ap-916	155	87	(	(	PUNCT
ap-916	155	88	)	)	PUNCT
ap-916	155	89	(	(	PUNCT
ap-916	155	90	)	)	PUNCT
ap-916	155	91	s	s	NOUN
ap-916	155	92	s	s	VERB
ap-916	155	93	mr	mr	PROPN
ap-916	155	94	s	s	PROPN
ap-916	155	95	s	s	PROPN
ap-916	155	96	�	�	PROPN
ap-916	155	97	�	�	PROPN
ap-916	155	98	�	�	PROPN
ap-916	155	99	�	�	PROPN
ap-916	155	100	�	�	PROPN
ap-916	155	101	�	�	PROPN
ap-916	155	102	�	�	PROPN
ap-916	155	103	�	�	PROPN
ap-916	155	104	�	�	PROPN
ap-916	155	105	�	�	PROPN
ap-916	155	106	�	�	PROPN
ap-916	155	107	�	�	PROPN
ap-916	155	108	�	�	PROPN
ap-916	155	109	�	�	PROPN
ap-916	155	110	�	�	PROPN
ap-916	155	111	�	�	PROPN
ap-916	155	112	�	�	PROPN
ap-916	155	113	�	�	PROPN
ap-916	155	114	�	�	PROPN
ap-916	155	115	�	�	PROPN
ap-916	155	116	3	3	NUM
ap-916	155	117	8	8	NUM
ap-916	155	118	1	1	NUM
ap-916	155	119	5	5	NUM
ap-916	155	120	2	2	NUM
ap-916	155	121	5	5	NUM
ap-916	155	122	2	2	NUM
ap-916	155	123	3	3	NUM
ap-916	155	124	2	2	NUM
ap-916	155	125	2	2	NUM
ap-916	155	126	5	5	NUM
ap-916	155	127	2	2	NUM
ap-916	155	128	(	(	PUNCT
ap-916	155	129	)	)	PUNCT
ap-916	155	130	(	(	PUNCT
ap-916	155	131	)	)	PUNCT
ap-916	155	132	(	(	PUNCT
ap-916	155	133	)	)	PUNCT
ap-916	155	134	s	s	NOUN
ap-916	155	135	s	s	VERB
ap-916	155	136	mr	mr	PROPN
ap-916	155	137	s	s	PROPN
ap-916	155	138	s	s	PROPN
ap-916	155	139	�	�	PROPN
ap-916	155	140	�	�	PROPN
ap-916	155	141	5	5	NUM
ap-916	155	142	16	16	NUM
ap-916	155	143	1	1	NUM
ap-916	155	144	7	7	NUM
ap-916	155	145	2	2	NUM
ap-916	155	146	7	7	NUM
ap-916	155	147	2	2	NUM
ap-916	155	148	3	3	NUM
ap-916	155	149	2	2	NUM
ap-916	155	150	2	2	NUM
ap-916	155	151	7	7	NUM
ap-916	155	152	2	2	NUM
ap-916	155	153	(	(	PUNCT
ap-916	155	154	)	)	PUNCT
ap-916	155	155	(	(	PUNCT
ap-916	155	156	)	)	PUNCT
ap-916	155	157	(	(	PUNCT
ap-916	155	158	)	)	PUNCT
ap-916	155	159	s	s	NOUN
ap-916	155	160	s	s	VERB
ap-916	156	1	mr	mr	PROPN
ap-916	156	2	s	s	PROPN
ap-916	156	3	s	s	PROPN
ap-916	156	4	�	�	PROPN
ap-916	156	5	�	�	PROPN
ap-916	156	6	�	�	PROPN
ap-916	156	7	�	�	PROPN
ap-916	156	8	�	�	PROPN
ap-916	156	9	�	�	PROPN
ap-916	156	10	�	�	PROPN
ap-916	156	11	�	�	PROPN
ap-916	156	12	�	�	PROPN
ap-916	156	13	�	�	PROPN
ap-916	156	14	�	�	PROPN
ap-916	156	15	�	�	PROPN
ap-916	156	16	�	�	PROPN
ap-916	156	17	�	�	PROPN
ap-916	156	18	�	�	PROPN
ap-916	156	19	�	�	PROPN
ap-916	156	20	�	�	PROPN
ap-916	156	21	�	�	PROPN
ap-916	156	22	�	�	PROPN
ap-916	156	23	�	�	PROPN
ap-916	156	24	�	�	PROPN
ap-916	156	25	�	�	PROPN
ap-916	156	26	�	�	PROPN
ap-916	156	27	�	�	PROPN
ap-916	156	28	�	�	PROPN
ap-916	156	29	�	�	PROPN
ap-916	156	30	�	�	PROPN
ap-916	156	31	�	�	PROPN
ap-916	156	32	�	�	PROPN
ap-916	156	33	�	�	PROPN
ap-916	156	34	�	�	PROPN
ap-916	156	35	�	�	PROPN
ap-916	156	36	�	�	PROPN
ap-916	156	37	dr	dr	PROPN
ap-916	156	38	r	r	NOUN
ap-916	156	39	v	v	NOUN
ap-916	156	40	r	r	NOUN
ap-916	156	41	s	s	NOUN
ap-916	156	42	s	s	PART
ap-916	156	43	mr	mr	PROPN
ap-916	156	44	s	s	PROPN
ap-916	156	45	s	s	PROPN
ap-916	156	46	3	3	NUM
ap-916	156	47	2	2	NUM
ap-916	156	48	2	2	NUM
ap-916	156	49	3	3	NUM
ap-916	156	50	2	2	NUM
ap-916	156	51	3	3	NUM
ap-916	156	52	2	2	NUM
ap-916	156	53	3	3	NUM
ap-916	156	54	21	21	NUM
ap-916	156	55	8	8	NUM
ap-916	156	56	1	1	NUM
ap-916	156	57	(	(	PUNCT
ap-916	156	58	)	)	PUNCT
ap-916	156	59	(	(	PUNCT
ap-916	156	60	)	)	PUNCT
ap-916	156	61	(	(	PUNCT
ap-916	156	62	)	)	PUNCT
ap-916	156	63	(	(	PUNCT
ap-916	156	64	)	)	PUNCT
ap-916	156	65	�	�	PROPN
ap-916	156	66	�	�	PROPN
ap-916	156	67	�	�	PROPN
ap-916	156	68	�	�	PROPN
ap-916	156	69	�	�	PROPN
ap-916	156	70	�	�	PROPN
ap-916	156	71	�	�	PROPN
ap-916	156	72	�	�	PROPN
ap-916	156	73	�	�	PROPN
ap-916	156	74	�	�	PROPN
ap-916	156	75	�	�	PROPN
ap-916	156	76	�	�	PROPN
ap-916	156	77	�	�	PROPN
ap-916	156	78	�	�	PROPN
ap-916	156	79	�	�	PROPN
ap-916	156	80	�	�	PROPN
ap-916	156	81	�	�	PROPN
ap-916	156	82	�	�	PROPN
ap-916	156	83	2	2	NUM
ap-916	156	84	3	3	NUM
ap-916	156	85	20	20	NUM
ap-916	156	86	s	s	NOUN
ap-916	156	87	.	.	PUNCT
ap-916	157	1	(	(	PUNCT
ap-916	157	2	31	31	NUM
ap-916	157	3	)	)	PUNCT
ap-916	157	4	we	we	PRON
ap-916	157	5	now	now	ADV
ap-916	157	6	subtract	subtract	VERB
ap-916	157	7	sufficiently	sufficiently	ADV
ap-916	157	8	many	many	ADJ
ap-916	157	9	terms	term	NOUN
ap-916	157	10	inside	inside	ADP
ap-916	157	11	thesum	thesum	NOUN
ap-916	157	12	to	to	PART
ap-916	157	13	ensure	ensure	VERB
ap-916	157	14	the	the	DET
ap-916	157	15	analytic	analytic	ADJ
ap-916	157	16	continuation	continuation	NOUN
ap-916	157	17	of	of	ADP
ap-916	157	18	�	�	PROPN
ap-916	157	19	as	as	ADP
ap-916	157	20	s	s	NOUN
ap-916	157	21	(	(	PUNCT
ap-916	157	22	)	)	PUNCT
ap-916	157	23	to	to	ADP
ap-916	157	24	s	s	PRON
ap-916	157	25	�	�	PROPN
ap-916	157	26	0	0	NUM
ap-916	157	27	.	.	PUNCT
ap-916	158	1	the	the	DET
ap-916	158	2	added	add	VERB
ap-916	158	3	back	back	NOUN
ap-916	158	4	terms	term	NOUN
ap-916	158	5	produce	produce	VERB
ap-916	158	6	riemann	riemann	PROPN
ap-916	158	7	zeta	zeta	PROPN
ap-916	158	8	function	function	PROPN
ap-916	158	9	terms	term	NOUN
ap-916	158	10	,	,	PUNCT
ap-916	158	11	such	such	ADJ
ap-916	158	12	as	as	ADP
ap-916	158	13	�	�	PROPN
ap-916	158	14	r	r	NOUN
ap-916	158	15	s	s	PROPN
ap-916	158	16	(	(	PUNCT
ap-916	158	17	)	)	PUNCT
ap-916	158	18	2	2	NUM
ap-916	158	19	1	1	NUM
ap-916	158	20	�	�	PROPN
ap-916	158	21	,	,	PUNCT
ap-916	158	22	whose	whose	DET
ap-916	158	23	analytic	analytic	ADJ
ap-916	158	24	continuation	continuation	NOUN
ap-916	158	25	is	be	AUX
ap-916	158	26	immediate	immediate	ADJ
ap-916	158	27	.	.	PUNCT
ap-916	159	1	for	for	ADP
ap-916	159	2	example	example	NOUN
ap-916	159	3	,	,	PUNCT
ap-916	159	4	in	in	ADP
ap-916	159	5	d	d	PROPN
ap-916	159	6	�	�	PROPN
ap-916	159	7	4	4	NUM
ap-916	159	8	,	,	PUNCT
ap-916	159	9	we	we	PRON
ap-916	159	10	find	find	VERB
ap-916	159	11	6	6	NUM
ap-916	159	12	©	©	PROPN
ap-916	159	13	czech	czech	PROPN
ap-916	159	14	technical	technical	PROPN
ap-916	159	15	university	university	PROPN
ap-916	159	16	publishing	publishing	NOUN
ap-916	159	17	house	house	NOUN
ap-916	159	18	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	159	19	acta	acta	PROPN
ap-916	159	20	polytechnica	polytechnica	PROPN
ap-916	159	21	vol	vol	NOUN
ap-916	159	22	.	.	PUNCT
ap-916	160	1	47	47	NUM
ap-916	160	2	no	no	NOUN
ap-916	160	3	.	.	PUNCT
ap-916	161	1	2–3/2007	2–3/2007	NUM
ap-916	161	2	notice	notice	NOUN
ap-916	161	3	that	that	SCONJ
ap-916	161	4	the	the	DET
ap-916	161	5	terms	term	NOUN
ap-916	161	6	involving	involve	VERB
ap-916	161	7	summation	summation	NOUN
ap-916	161	8	over	over	ADP
ap-916	161	9	�	�	PROPN
ap-916	161	10	cancel	cancel	VERB
ap-916	161	11	exactly	exactly	ADV
ap-916	161	12	against	against	ADP
ap-916	161	13	identical	identical	ADJ
ap-916	161	14	terms	term	NOUN
ap-916	161	15	in	in	ADP
ap-916	161	16	�	�	PROPN
ap-916	161	17	�	�	PROPN
ap-916	161	18	f	f	PROPN
ap-916	161	19	(	(	PUNCT
ap-916	161	20	)	)	PUNCT
ap-916	161	21	0	0	NUM
ap-916	162	1	from	from	ADP
ap-916	162	2	(	(	PUNCT
ap-916	162	3	29	29	NUM
ap-916	162	4	)	)	PUNCT
ap-916	162	5	,	,	PUNCT
ap-916	162	6	after	after	SCONJ
ap-916	162	7	those	those	DET
ap-916	162	8	terms	term	NOUN
ap-916	162	9	are	be	AUX
ap-916	162	10	summed	sum	VERB
ap-916	162	11	over	over	ADP
ap-916	162	12	l	l	NOUN
ap-916	162	13	with	with	ADP
ap-916	162	14	the	the	DET
ap-916	162	15	d	d	PROPN
ap-916	162	16	�	�	PROPN
ap-916	162	17	4	4	NUM
ap-916	162	18	degeneracy	degeneracy	NOUN
ap-916	162	19	factor	factor	NOUN
ap-916	162	20	�	�	PROPN
ap-916	162	21	2	2	NUM
ap-916	162	22	21	21	NUM
ap-916	162	23	�	�	PROPN
ap-916	162	24	�	�	PROPN
ap-916	162	25	(	(	PUNCT
ap-916	162	26	)	)	PUNCT
ap-916	162	27	l	l	NOUN
ap-916	162	28	.	.	PUNCT
ap-916	163	1	furthermore	furthermore	ADV
ap-916	163	2	,	,	PUNCT
ap-916	163	3	note	note	VERB
ap-916	163	4	that	that	SCONJ
ap-916	163	5	the	the	DET
ap-916	163	6	ln	ln	ADJ
ap-916	163	7	r	r	NOUN
ap-916	163	8	term	term	NOUN
ap-916	163	9	inside	inside	ADP
ap-916	163	10	the	the	DET
ap-916	163	11	integral	integral	NOUN
ap-916	163	12	on	on	ADP
ap-916	163	13	the	the	DET
ap-916	163	14	second	second	ADJ
ap-916	163	15	line	line	NOUN
ap-916	163	16	of	of	ADP
ap-916	163	17	(	(	PUNCT
ap-916	163	18	32	32	NUM
ap-916	163	19	)	)	PUNCT
ap-916	163	20	is	be	AUX
ap-916	163	21	precisely	precisely	ADV
ap-916	163	22	of	of	ADP
ap-916	163	23	the	the	DET
ap-916	163	24	same	same	ADJ
ap-916	163	25	form	form	NOUN
ap-916	163	26	as	as	ADP
ap-916	163	27	the	the	DET
ap-916	163	28	renormalization	renormalization	NOUN
ap-916	163	29	term	term	NOUN
ap-916	163	30	in	in	ADP
ap-916	163	31	(	(	PUNCT
ap-916	163	32	14	14	NUM
ap-916	163	33	)	)	PUNCT
ap-916	163	34	,	,	PUNCT
ap-916	163	35	so	so	CCONJ
ap-916	163	36	the	the	DET
ap-916	163	37	ln	ln	PROPN
ap-916	163	38	�	�	PROPN
ap-916	163	39	in	in	ADP
ap-916	163	40	(	(	PUNCT
ap-916	163	41	12	12	NUM
ap-916	163	42	)	)	PUNCT
ap-916	163	43	combines	combine	VERB
ap-916	163	44	with	with	ADP
ap-916	163	45	ln	ln	ADJ
ap-916	163	46	r	r	NOUN
ap-916	163	47	to	to	PART
ap-916	163	48	form	form	VERB
ap-916	163	49	the	the	DET
ap-916	163	50	dimensionless	dimensionless	NOUN
ap-916	163	51	combination	combination	NOUN
ap-916	163	52	ln(	ln(	PROPN
ap-916	163	53	�	�	PROPN
ap-916	163	54	r	r	NOUN
ap-916	163	55	)	)	PUNCT
ap-916	163	56	in	in	ADP
ap-916	163	57	(	(	PUNCT
ap-916	163	58	8)	8)	NUM
ap-916	163	59	.	.	PUNCT
ap-916	164	1	the	the	DET
ap-916	164	2	analogous	analogous	ADJ
ap-916	164	3	computations	computation	NOUN
ap-916	164	4	for	for	ADP
ap-916	164	5	d	d	PROPN
ap-916	164	6	�	�	PROPN
ap-916	164	7	2	2	NUM
ap-916	164	8	and	and	CCONJ
ap-916	164	9	d	d	PROPN
ap-916	164	10	�	�	PROPN
ap-916	164	11	3	3	NUM
ap-916	164	12	lead	lead	VERB
ap-916	164	13	to	to	ADP
ap-916	164	14	(	(	PUNCT
ap-916	164	15	6	6	NUM
ap-916	164	16	)	)	PUNCT
ap-916	164	17	and	and	CCONJ
ap-916	164	18	(	(	PUNCT
ap-916	164	19	7	7	NUM
ap-916	164	20	)	)	PUNCT
ap-916	164	21	,	,	PUNCT
ap-916	164	22	respectively	respectively	ADV
ap-916	164	23	[	[	X
ap-916	164	24	14	14	NUM
ap-916	164	25	]	]	SYM
ap-916	164	26	.	.	PUNCT
ap-916	165	1	3	3	NUM
ap-916	165	2	conclusions	conclusion	NOUN
ap-916	165	3	and	and	CCONJ
ap-916	165	4	applications	application	NOUN
ap-916	165	5	the	the	DET
ap-916	165	6	mathematical	mathematical	ADJ
ap-916	165	7	results	result	NOUN
ap-916	165	8	reported	report	VERB
ap-916	165	9	here	here	ADV
ap-916	165	10	are	be	AUX
ap-916	165	11	the	the	DET
ap-916	165	12	formulas	formula	NOUN
ap-916	165	13	in	in	ADP
ap-916	165	14	(	(	PUNCT
ap-916	165	15	6)–(8	6)–(8	NUM
ap-916	165	16	)	)	PUNCT
ap-916	165	17	,	,	PUNCT
ap-916	165	18	which	which	PRON
ap-916	165	19	provide	provide	VERB
ap-916	165	20	simple	simple	ADJ
ap-916	165	21	new	new	ADJ
ap-916	165	22	expressions	expression	NOUN
ap-916	165	23	for	for	ADP
ap-916	165	24	the	the	DET
ap-916	165	25	determinant	determinant	NOUN
ap-916	165	26	of	of	ADP
ap-916	165	27	a	a	DET
ap-916	165	28	radially	radially	ADV
ap-916	165	29	separable	separable	ADJ
ap-916	165	30	partial	partial	ADJ
ap-916	165	31	differential	differential	NOUN
ap-916	165	32	operator	operator	NOUN
ap-916	165	33	of	of	ADP
ap-916	165	34	the	the	DET
ap-916	165	35	form	form	NOUN
ap-916	165	36	�	�	PROPN
ap-916	165	37	�	�	PROPN
ap-916	165	38	�	�	PROPN
ap-916	165	39	�	�	PROPN
ap-916	165	40	m	m	VERB
ap-916	165	41	v	v	NOUN
ap-916	165	42	r2	r2	NOUN
ap-916	165	43	(	(	PUNCT
ap-916	165	44	)	)	PUNCT
ap-916	165	45	.	.	PUNCT
ap-916	166	1	this	this	PRON
ap-916	166	2	generalizes	generalize	VERB
ap-916	166	3	the	the	DET
ap-916	166	4	gel’fand	gel’fand	NOUN
ap-916	166	5	-	-	PUNCT
ap-916	166	6	yaglom	yaglom	NOUN
ap-916	166	7	result	result	NOUN
ap-916	166	8	(	(	PUNCT
ap-916	166	9	2	2	NUM
ap-916	166	10	)	)	PUNCT
ap-916	166	11	to	to	ADP
ap-916	166	12	higher	high	ADJ
ap-916	166	13	dimensions	dimension	NOUN
ap-916	166	14	,	,	PUNCT
ap-916	166	15	and	and	CCONJ
ap-916	166	16	greatly	greatly	ADV
ap-916	166	17	increases	increase	VERB
ap-916	166	18	the	the	DET
ap-916	166	19	class	class	NOUN
ap-916	166	20	of	of	ADP
ap-916	166	21	differential	differential	ADJ
ap-916	166	22	operators	operator	NOUN
ap-916	166	23	for	for	ADP
ap-916	166	24	which	which	PRON
ap-916	166	25	the	the	DET
ap-916	166	26	determinant	determinant	NOUN
ap-916	166	27	can	can	AUX
ap-916	166	28	be	be	AUX
ap-916	166	29	computed	compute	VERB
ap-916	166	30	simply	simply	ADV
ap-916	166	31	and	and	CCONJ
ap-916	166	32	efficiently	efficiently	ADV
ap-916	166	33	.	.	PUNCT
ap-916	167	1	the	the	DET
ap-916	167	2	derivation	derivation	NOUN
ap-916	167	3	presented	present	VERB
ap-916	167	4	here	here	ADV
ap-916	167	5	[	[	X
ap-916	167	6	14	14	NUM
ap-916	167	7	]	]	PUNCT
ap-916	167	8	uses	use	VERB
ap-916	167	9	the	the	DET
ap-916	167	10	zeta	zeta	NOUN
ap-916	167	11	function	function	NOUN
ap-916	167	12	definition	definition	NOUN
ap-916	167	13	of	of	ADP
ap-916	167	14	the	the	DET
ap-916	167	15	determinant	determinant	NOUN
ap-916	167	16	,	,	PUNCT
ap-916	167	17	but	but	CCONJ
ap-916	167	18	the	the	DET
ap-916	167	19	same	same	ADJ
ap-916	167	20	expressions	expression	NOUN
ap-916	167	21	can	can	AUX
ap-916	167	22	be	be	AUX
ap-916	167	23	found	find	VERB
ap-916	167	24	using	use	VERB
ap-916	167	25	the	the	DET
ap-916	167	26	radial	radial	ADJ
ap-916	167	27	wkb	wkb	NOUN
ap-916	167	28	approach	approach	NOUN
ap-916	167	29	of	of	ADP
ap-916	167	30	[	[	X
ap-916	167	31	12	12	NUM
ap-916	167	32	,	,	PUNCT
ap-916	167	33	13	13	NUM
ap-916	167	34	]	]	PUNCT
ap-916	167	35	.	.	PUNCT
ap-916	168	1	furthermore	furthermore	ADV
ap-916	168	2	,	,	PUNCT
ap-916	168	3	it	it	PRON
ap-916	168	4	can	can	AUX
ap-916	168	5	be	be	AUX
ap-916	168	6	shown	show	VERB
ap-916	168	7	[	[	X
ap-916	168	8	14	14	NUM
ap-916	168	9	]	]	PUNCT
ap-916	168	10	how	how	SCONJ
ap-916	168	11	these	these	DET
ap-916	168	12	expressions	expression	NOUN
ap-916	168	13	relate	relate	VERB
ap-916	168	14	to	to	ADP
ap-916	168	15	the	the	DET
ap-916	168	16	feynman	feynman	PROPN
ap-916	168	17	diagrammatic	diagrammatic	ADJ
ap-916	168	18	definition	definition	NOUN
ap-916	168	19	of	of	ADP
ap-916	168	20	the	the	DET
ap-916	168	21	determinant	determinant	NOUN
ap-916	168	22	based	base	VERB
ap-916	168	23	on	on	ADP
ap-916	168	24	dimensional	dimensional	ADJ
ap-916	168	25	regularization	regularization	NOUN
ap-916	168	26	[	[	X
ap-916	168	27	16	16	NUM
ap-916	168	28	]	]	PUNCT
ap-916	168	29	.	.	PUNCT
ap-916	169	1	these	these	DET
ap-916	169	2	superficially	superficially	ADV
ap-916	169	3	different	different	ADJ
ap-916	169	4	expressions	expression	NOUN
ap-916	169	5	are	be	AUX
ap-916	169	6	in	in	ADP
ap-916	169	7	fact	fact	NOUN
ap-916	169	8	equal	equal	ADJ
ap-916	169	9	,	,	PUNCT
ap-916	169	10	although	although	SCONJ
ap-916	169	11	the	the	DET
ap-916	169	12	zeta	zeta	NOUN
ap-916	169	13	function	function	NOUN
ap-916	169	14	expression	expression	NOUN
ap-916	169	15	is	be	AUX
ap-916	169	16	considerably	considerably	ADV
ap-916	169	17	simpler	simple	ADJ
ap-916	169	18	to	to	PART
ap-916	169	19	implement	implement	VERB
ap-916	169	20	.	.	PUNCT
ap-916	170	1	these	these	DET
ap-916	170	2	results	result	NOUN
ap-916	170	3	lead	lead	VERB
ap-916	170	4	to	to	ADP
ap-916	170	5	many	many	ADJ
ap-916	170	6	direct	direct	ADJ
ap-916	170	7	applications	application	NOUN
ap-916	170	8	in	in	ADP
ap-916	170	9	quantum	quantum	ADJ
ap-916	170	10	field	field	NOUN
ap-916	170	11	theory	theory	NOUN
ap-916	170	12	,	,	PUNCT
ap-916	170	13	where	where	SCONJ
ap-916	170	14	they	they	PRON
ap-916	170	15	extend	extend	VERB
ap-916	170	16	the	the	DET
ap-916	170	17	class	class	NOUN
ap-916	170	18	of	of	ADP
ap-916	170	19	solvable	solvable	ADJ
ap-916	170	20	fluctuation	fluctuation	NOUN
ap-916	170	21	determinant	determinant	ADJ
ap-916	170	22	problems	problem	NOUN
ap-916	170	23	away	away	ADV
ap-916	170	24	from	from	ADP
ap-916	170	25	the	the	DET
ap-916	170	26	restrictive	restrictive	ADJ
ap-916	170	27	class	class	NOUN
ap-916	170	28	of	of	ADP
ap-916	170	29	constant	constant	ADJ
ap-916	170	30	background	background	NOUN
ap-916	170	31	fields	field	NOUN
ap-916	170	32	,	,	PUNCT
ap-916	170	33	or	or	CCONJ
ap-916	170	34	one	one	NUM
ap-916	170	35	dimensional	dimensional	ADJ
ap-916	170	36	background	background	NOUN
ap-916	170	37	fields	field	NOUN
ap-916	170	38	,	,	PUNCT
ap-916	170	39	to	to	ADP
ap-916	170	40	the	the	DET
ap-916	170	41	more	more	ADV
ap-916	170	42	general	general	ADJ
ap-916	170	43	class	class	NOUN
ap-916	170	44	of	of	ADP
ap-916	170	45	separable	separable	ADJ
ap-916	170	46	higher	high	ADJ
ap-916	170	47	dimensional	dimensional	ADJ
ap-916	170	48	background	background	NOUN
ap-916	170	49	fields	field	NOUN
ap-916	170	50	.	.	PUNCT
ap-916	171	1	mathematically	mathematically	ADV
ap-916	171	2	,	,	PUNCT
ap-916	171	3	this	this	PRON
ap-916	171	4	represents	represent	VERB
ap-916	171	5	a	a	DET
ap-916	171	6	small	small	ADJ
ap-916	171	7	but	but	CCONJ
ap-916	171	8	surprisingly	surprisingly	ADV
ap-916	171	9	non	non	ADJ
ap-916	171	10	-	-	ADJ
ap-916	171	11	trivial	trivial	ADJ
ap-916	171	12	step	step	NOUN
ap-916	171	13	towards	towards	ADP
ap-916	171	14	more	more	ADV
ap-916	171	15	general	general	ADJ
ap-916	171	16	partial	partial	ADJ
ap-916	171	17	differential	differential	NOUN
ap-916	171	18	operators	operator	NOUN
ap-916	171	19	.	.	PUNCT
ap-916	172	1	while	while	SCONJ
ap-916	172	2	this	this	PRON
ap-916	172	3	is	be	AUX
ap-916	172	4	still	still	ADV
ap-916	172	5	a	a	DET
ap-916	172	6	small	small	ADJ
ap-916	172	7	class	class	NOUN
ap-916	172	8	of	of	ADP
ap-916	172	9	partial	partial	ADJ
ap-916	172	10	differential	differential	NOUN
ap-916	172	11	operators	operator	NOUN
ap-916	172	12	,	,	PUNCT
ap-916	172	13	it	it	PRON
ap-916	172	14	is	be	AUX
ap-916	172	15	large	large	ADJ
ap-916	172	16	enough	enough	ADV
ap-916	172	17	to	to	PART
ap-916	172	18	have	have	VERB
ap-916	172	19	many	many	ADJ
ap-916	172	20	important	important	ADJ
ap-916	172	21	applications	application	NOUN
ap-916	172	22	in	in	ADP
ap-916	172	23	quantum	quantum	ADJ
ap-916	172	24	field	field	NOUN
ap-916	172	25	theory	theory	NOUN
ap-916	172	26	,	,	PUNCT
ap-916	172	27	for	for	ADP
ap-916	172	28	example	example	NOUN
ap-916	172	29	the	the	DET
ap-916	172	30	study	study	NOUN
ap-916	172	31	of	of	ADP
ap-916	172	32	quantum	quantum	ADJ
ap-916	172	33	fluctuations	fluctuation	NOUN
ap-916	172	34	in	in	ADP
ap-916	172	35	the	the	DET
ap-916	172	36	presence	presence	NOUN
ap-916	172	37	of	of	ADP
ap-916	172	38	vortices	vortex	NOUN
ap-916	172	39	,	,	PUNCT
ap-916	172	40	monopoles	monopole	NOUN
ap-916	172	41	,	,	PUNCT
ap-916	172	42	sphalerons	sphaleron	NOUN
ap-916	172	43	,	,	PUNCT
ap-916	172	44	instantons	instanton	NOUN
ap-916	172	45	,	,	PUNCT
ap-916	172	46	domain	domain	NOUN
ap-916	172	47	walls	wall	NOUN
ap-916	172	48	(	(	PUNCT
ap-916	172	49	branes	brane	NOUN
ap-916	172	50	)	)	PUNCT
ap-916	172	51	,	,	PUNCT
ap-916	172	52	etc	etc	X
ap-916	172	53	…	…	PUNCT
ap-916	172	54	a	a	DET
ap-916	172	55	number	number	NOUN
ap-916	172	56	of	of	ADP
ap-916	172	57	generalizations	generalization	NOUN
ap-916	172	58	could	could	AUX
ap-916	172	59	be	be	AUX
ap-916	172	60	made	make	VERB
ap-916	172	61	.	.	PUNCT
ap-916	173	1	first	first	ADV
ap-916	173	2	,	,	PUNCT
ap-916	173	3	in	in	ADP
ap-916	173	4	certain	certain	ADJ
ap-916	173	5	quantum	quantum	ADJ
ap-916	173	6	field	field	NOUN
ap-916	173	7	theory	theory	NOUN
ap-916	173	8	applications	application	NOUN
ap-916	173	9	the	the	DET
ap-916	173	10	determinant	determinant	NOUN
ap-916	173	11	may	may	AUX
ap-916	173	12	have	have	VERB
ap-916	173	13	zero	zero	NUM
ap-916	173	14	modes	mode	NOUN
ap-916	173	15	,	,	PUNCT
ap-916	173	16	and	and	CCONJ
ap-916	173	17	correspondingly	correspondingly	ADV
ap-916	173	18	one	one	NUM
ap-916	173	19	is	be	AUX
ap-916	173	20	actually	actually	ADV
ap-916	173	21	interested	interested	ADJ
ap-916	173	22	in	in	ADP
ap-916	173	23	computing	compute	VERB
ap-916	173	24	the	the	DET
ap-916	173	25	determinant	determinant	ADJ
ap-916	173	26	with	with	ADP
ap-916	173	27	these	these	DET
ap-916	173	28	zero	zero	NUM
ap-916	173	29	modes	mode	NOUN
ap-916	173	30	removed	remove	VERB
ap-916	173	31	.	.	PUNCT
ap-916	174	1	our	our	PRON
ap-916	174	2	method	method	NOUN
ap-916	174	3	provides	provide	VERB
ap-916	174	4	a	a	DET
ap-916	174	5	simple	simple	ADJ
ap-916	174	6	way	way	NOUN
ap-916	174	7	to	to	PART
ap-916	174	8	compute	compute	VERB
ap-916	174	9	such	such	ADJ
ap-916	174	10	determinants	determinant	NOUN
ap-916	174	11	[	[	X
ap-916	174	12	12	12	NUM
ap-916	174	13	]	]	PUNCT
ap-916	174	14	.	.	PUNCT
ap-916	175	1	a	a	DET
ap-916	175	2	systematic	systematic	ADJ
ap-916	175	3	study	study	NOUN
ap-916	175	4	of	of	ADP
ap-916	175	5	this	this	DET
ap-916	175	6	approach	approach	NOUN
ap-916	175	7	,	,	PUNCT
ap-916	175	8	exploiting	exploit	VERB
ap-916	175	9	the	the	DET
ap-916	175	10	relation	relation	NOUN
ap-916	175	11	between	between	ADP
ap-916	175	12	zero	zero	NUM
ap-916	175	13	modes	mode	NOUN
ap-916	175	14	and	and	CCONJ
ap-916	175	15	topology	topology	NOUN
ap-916	175	16	,	,	PUNCT
ap-916	175	17	would	would	AUX
ap-916	175	18	be	be	AUX
ap-916	175	19	extremely	extremely	ADV
ap-916	175	20	interesting	interesting	ADJ
ap-916	175	21	.	.	PUNCT
ap-916	176	1	another	another	DET
ap-916	176	2	important	important	ADJ
ap-916	176	3	generalization	generalization	NOUN
ap-916	176	4	is	be	AUX
ap-916	176	5	to	to	PART
ap-916	176	6	include	include	VERB
ap-916	176	7	directly	directly	ADV
ap-916	176	8	the	the	DET
ap-916	176	9	matrix	matrix	NOUN
ap-916	176	10	structure	structure	NOUN
ap-916	176	11	that	that	PRON
ap-916	176	12	arises	arise	VERB
ap-916	176	13	from	from	ADP
ap-916	176	14	dirac	dirac	NOUN
ap-916	176	15	-	-	PUNCT
ap-916	176	16	like	like	ADJ
ap-916	176	17	differential	differential	NOUN
ap-916	176	18	operators	operator	NOUN
ap-916	176	19	and	and	CCONJ
ap-916	176	20	from	from	ADP
ap-916	176	21	non	non	ADJ
ap-916	176	22	-	-	ADJ
ap-916	176	23	abelian	abelian	ADJ
ap-916	176	24	gauge	gauge	NOUN
ap-916	176	25	degrees	degree	NOUN
ap-916	176	26	of	of	ADP
ap-916	176	27	freedom	freedom	NOUN
ap-916	176	28	.	.	PUNCT
ap-916	177	1	the	the	DET
ap-916	177	2	feynman	feynman	PROPN
ap-916	177	3	diagrammatic	diagrammatic	ADJ
ap-916	177	4	approach	approach	NOUN
ap-916	177	5	is	be	AUX
ap-916	177	6	well	well	ADV
ap-916	177	7	developed	develop	VERB
ap-916	177	8	for	for	ADP
ap-916	177	9	such	such	ADJ
ap-916	177	10	separable	separable	ADJ
ap-916	177	11	problems	problem	NOUN
ap-916	177	12	[	[	X
ap-916	177	13	17];	17];	NUM
ap-916	177	14	for	for	ADP
ap-916	177	15	example	example	NOUN
ap-916	177	16	it	it	PRON
ap-916	177	17	has	have	AUX
ap-916	177	18	been	be	AUX
ap-916	177	19	applied	apply	VERB
ap-916	177	20	to	to	ADP
ap-916	177	21	the	the	DET
ap-916	177	22	fluctuations	fluctuation	NOUN
ap-916	177	23	about	about	ADP
ap-916	177	24	the	the	DET
ap-916	177	25	electroweak	electroweak	NOUN
ap-916	177	26	sphaleron	sphaleron	NOUN
ap-916	178	1	[	[	X
ap-916	178	2	18	18	NUM
ap-916	178	3	,	,	PUNCT
ap-916	178	4	19	19	NUM
ap-916	178	5	]	]	PUNCT
ap-916	178	6	and	and	CCONJ
ap-916	178	7	to	to	PART
ap-916	178	8	compute	compute	VERB
ap-916	178	9	the	the	DET
ap-916	178	10	metastability	metastability	NOUN
ap-916	178	11	of	of	ADP
ap-916	178	12	the	the	DET
ap-916	178	13	electroweak	electroweak	NOUN
ap-916	178	14	vacuum	vacuum	NOUN
ap-916	179	1	[	[	X
ap-916	179	2	20	20	NUM
ap-916	179	3	]	]	PUNCT
ap-916	179	4	.	.	PUNCT
ap-916	180	1	more	more	ADV
ap-916	180	2	recently	recently	ADV
ap-916	180	3	,	,	PUNCT
ap-916	180	4	the	the	DET
ap-916	180	5	angular	angular	ADJ
ap-916	180	6	momentum	momentum	NOUN
ap-916	180	7	cut	cut	VERB
ap-916	180	8	-	-	PUNCT
ap-916	180	9	off	off	ADP
ap-916	180	10	method	method	NOUN
ap-916	180	11	has	have	AUX
ap-916	180	12	been	be	AUX
ap-916	180	13	used	use	VERB
ap-916	180	14	to	to	PART
ap-916	180	15	compute	compute	VERB
ap-916	180	16	the	the	DET
ap-916	180	17	full	full	ADJ
ap-916	180	18	mass	mass	ADJ
ap-916	180	19	dependence	dependence	NOUN
ap-916	180	20	of	of	ADP
ap-916	180	21	the	the	DET
ap-916	180	22	fermion	fermion	NOUN
ap-916	180	23	determinant	determinant	ADJ
ap-916	180	24	in	in	ADP
ap-916	180	25	a	a	DET
ap-916	180	26	four	four	NUM
ap-916	180	27	dimensional	dimensional	ADJ
ap-916	180	28	yang	yang	PROPN
ap-916	180	29	-	-	PUNCT
ap-916	180	30	mills	mill	NOUN
ap-916	180	31	instanton	instanton	PROPN
ap-916	180	32	background	background	NOUN
ap-916	181	1	[	[	X
ap-916	181	2	13	13	NUM
ap-916	181	3	]	]	PUNCT
ap-916	181	4	,	,	PUNCT
ap-916	181	5	to	to	PART
ap-916	181	6	compute	compute	VERB
ap-916	181	7	the	the	DET
ap-916	181	8	fermion	fermion	NOUN
ap-916	181	9	determinant	determinant	ADJ
ap-916	181	10	in	in	ADP
ap-916	181	11	a	a	DET
ap-916	181	12	background	background	NOUN
ap-916	181	13	instanton	instanton	NOUN
ap-916	181	14	in	in	ADP
ap-916	181	15	the	the	DET
ap-916	181	16	two	two	NUM
ap-916	181	17	dimensional	dimensional	ADJ
ap-916	181	18	chiral	chiral	ADJ
ap-916	181	19	higgs	higgs	NOUN
ap-916	181	20	model	model	NOUN
ap-916	181	21	[	[	X
ap-916	181	22	21	21	NUM
ap-916	181	23	]	]	PUNCT
ap-916	181	24	,	,	PUNCT
ap-916	181	25	and	and	CCONJ
ap-916	181	26	to	to	PART
ap-916	181	27	address	address	VERB
ap-916	181	28	the	the	DET
ap-916	181	29	fluctuation	fluctuation	NOUN
ap-916	181	30	problem	problem	NOUN
ap-916	181	31	for	for	ADP
ap-916	181	32	false	false	ADJ
ap-916	181	33	vacuum	vacuum	NOUN
ap-916	181	34	decay	decay	NOUN
ap-916	181	35	in	in	ADP
ap-916	181	36	curved	curved	ADJ
ap-916	181	37	space	space	NOUN
ap-916	181	38	[	[	X
ap-916	181	39	22	22	NUM
ap-916	181	40	]	]	PUNCT
ap-916	181	41	.	.	PUNCT
ap-916	182	1	a	a	DET
ap-916	182	2	unified	unified	ADJ
ap-916	182	3	zeta	zeta	NOUN
ap-916	182	4	function	function	NOUN
ap-916	182	5	analysis	analysis	NOUN
ap-916	182	6	should	should	AUX
ap-916	182	7	be	be	AUX
ap-916	182	8	possible	possible	ADJ
ap-916	182	9	,	,	PUNCT
ap-916	182	10	as	as	SCONJ
ap-916	182	11	there	there	PRON
ap-916	182	12	is	be	VERB
ap-916	182	13	a	a	DET
ap-916	182	14	straightforward	straightforward	ADJ
ap-916	182	15	generalization	generalization	NOUN
ap-916	182	16	of	of	ADP
ap-916	182	17	the	the	DET
ap-916	182	18	gel’fand	gel’fand	NOUN
ap-916	182	19	-	-	PUNCT
ap-916	182	20	yaglom	yaglom	NOUN
ap-916	182	21	result	result	NOUN
ap-916	182	22	(	(	PUNCT
ap-916	182	23	2	2	NUM
ap-916	182	24	)	)	PUNCT
ap-916	182	25	to	to	ADP
ap-916	182	26	systems	system	NOUN
ap-916	182	27	of	of	ADP
ap-916	182	28	ordinary	ordinary	ADJ
ap-916	182	29	differential	differential	ADJ
ap-916	182	30	operators	operator	NOUN
ap-916	182	31	[	[	X
ap-916	182	32	10	10	NUM
ap-916	182	33	]	]	PUNCT
ap-916	182	34	.	.	PUNCT
ap-916	183	1	finally	finally	ADV
ap-916	183	2	,	,	PUNCT
ap-916	183	3	to	to	PART
ap-916	183	4	conclude	conclude	VERB
ap-916	183	5	,	,	PUNCT
ap-916	183	6	the	the	DET
ap-916	183	7	real	real	ADJ
ap-916	183	8	mathematical	mathematical	ADJ
ap-916	183	9	challenge	challenge	NOUN
ap-916	183	10	is	be	AUX
ap-916	183	11	to	to	PART
ap-916	183	12	ask	ask	VERB
ap-916	183	13	if	if	SCONJ
ap-916	183	14	the	the	DET
ap-916	183	15	restriction	restriction	NOUN
ap-916	183	16	of	of	ADP
ap-916	183	17	separability	separability	NOUN
ap-916	183	18	can	can	AUX
ap-916	183	19	be	be	AUX
ap-916	183	20	loosened	loosen	VERB
ap-916	183	21	.	.	PUNCT
ap-916	184	1	this	this	PRON
ap-916	184	2	is	be	AUX
ap-916	184	3	a	a	DET
ap-916	184	4	difficult	difficult	ADJ
ap-916	184	5	problem	problem	NOUN
ap-916	184	6	,	,	PUNCT
ap-916	184	7	but	but	CCONJ
ap-916	184	8	it	it	PRON
ap-916	184	9	is	be	AUX
ap-916	184	10	clear	clear	ADJ
ap-916	184	11	that	that	SCONJ
ap-916	184	12	any	any	DET
ap-916	184	13	progress	progress	NOUN
ap-916	184	14	will	will	AUX
ap-916	184	15	be	be	AUX
ap-916	184	16	interesting	interesting	ADJ
ap-916	184	17	.	.	PUNCT
ap-916	185	1	acknowledgments	acknowledgment	NOUN
ap-916	185	2	i	i	PRON
ap-916	185	3	sincerely	sincerely	ADV
ap-916	185	4	thank	thank	VERB
ap-916	185	5	the	the	DET
ap-916	185	6	organizer	organizer	NOUN
ap-916	185	7	,	,	PUNCT
ap-916	185	8	miloslav	miloslav	NOUN
ap-916	185	9	znojil	znojil	NOUN
ap-916	185	10	,	,	PUNCT
ap-916	185	11	and	and	CCONJ
ap-916	185	12	also	also	ADV
ap-916	185	13	pavel	pavel	PROPN
ap-916	185	14	exner	exner	NOUN
ap-916	185	15	,	,	PUNCT
ap-916	185	16	for	for	ADP
ap-916	185	17	the	the	DET
ap-916	185	18	kind	kind	ADJ
ap-916	185	19	invitation	invitation	NOUN
ap-916	185	20	to	to	ADP
ap-916	185	21	villa	villa	PROPN
ap-916	185	22	lana	lana	PROPN
ap-916	185	23	and	and	CCONJ
ap-916	185	24	the	the	DET
ap-916	185	25	beautiful	beautiful	ADJ
ap-916	185	26	city	city	NOUN
ap-916	185	27	of	of	ADP
ap-916	185	28	prague	prague	PROPN
ap-916	185	29	.	.	PUNCT
ap-916	186	1	i	i	PRON
ap-916	186	2	acknowledge	acknowledge	VERB
ap-916	186	3	support	support	NOUN
ap-916	186	4	from	from	ADP
ap-916	186	5	the	the	DET
ap-916	186	6	dfg	dfg	NOUN
ap-916	186	7	through	through	ADP
ap-916	186	8	the	the	DET
ap-916	186	9	mercator	mercator	PROPN
ap-916	186	10	guest	guest	PROPN
ap-916	186	11	professor	professor	NOUN
ap-916	186	12	program	program	NOUN
ap-916	186	13	,	,	PUNCT
ap-916	186	14	and	and	CCONJ
ap-916	186	15	from	from	ADP
ap-916	186	16	the	the	DET
ap-916	186	17	us	us	PROPN
ap-916	186	18	doe	doe	NOUN
ap-916	186	19	through	through	ADP
ap-916	186	20	grant	grant	PROPN
ap-916	186	21	de	de	PROPN
ap-916	186	22	-	-	ADJ
ap-916	186	23	fg02	fg02	ADJ
ap-916	186	24	-	-	PUNCT
ap-916	186	25	92er40716	92er40716	NUM
ap-916	186	26	.	.	PUNCT
ap-916	187	1	this	this	DET
ap-916	187	2	talk	talk	NOUN
ap-916	187	3	is	be	AUX
ap-916	187	4	based	base	VERB
ap-916	187	5	on	on	ADP
ap-916	187	6	work	work	NOUN
ap-916	187	7	done	do	VERB
ap-916	187	8	in	in	ADP
ap-916	187	9	collaboration	collaboration	NOUN
ap-916	187	10	with	with	ADP
ap-916	187	11	klaus	klaus	PROPN
ap-916	187	12	kirsten	kirsten	PROPN
ap-916	187	13	.	.	PUNCT
ap-916	188	1	references	reference	NOUN
ap-916	188	2	[	[	X
ap-916	188	3	1	1	NUM
ap-916	188	4	]	]	X
ap-916	188	5	ray	ray	NOUN
ap-916	188	6	,	,	PUNCT
ap-916	188	7	d.	d.	PROPN
ap-916	188	8	b.	b.	PROPN
ap-916	188	9	,	,	PUNCT
ap-916	188	10	singer	singer	NOUN
ap-916	188	11	,	,	PUNCT
ap-916	188	12	i.	i.	PROPN
ap-916	188	13	m.	m.	NOUN
ap-916	188	14	:	:	PUNCT
ap-916	188	15	r	r	X
ap-916	188	16	-	-	PUNCT
ap-916	188	17	torsion	torsion	NOUN
ap-916	188	18	and	and	CCONJ
ap-916	188	19	the	the	DET
ap-916	188	20	laplacian	laplacian	NOUN
ap-916	188	21	on	on	ADP
ap-916	188	22	riemannian	riemannian	ADJ
ap-916	188	23	manifolds	manifold	NOUN
ap-916	188	24	,	,	PUNCT
ap-916	188	25	adv	adv	PROPN
ap-916	188	26	.	.	PUNCT
ap-916	188	27	math	math	PROPN
ap-916	188	28	.	.	PUNCT
ap-916	189	1	vol	vol	NOUN
ap-916	189	2	.	.	PROPN
ap-916	189	3	7	7	NUM
ap-916	189	4	(	(	PUNCT
ap-916	189	5	1971	1971	NUM
ap-916	189	6	)	)	PUNCT
ap-916	189	7	,	,	PUNCT
ap-916	189	8	p.	p.	NOUN
ap-916	189	9	145–210	145–210	NUM
ap-916	189	10	.	.	PUNCT
ap-916	190	1	[	[	X
ap-916	190	2	2	2	X
ap-916	190	3	]	]	PUNCT
ap-916	190	4	hawking	hawking	NOUN
ap-916	190	5	,	,	PUNCT
ap-916	190	6	s.	s.	PROPN
ap-916	190	7	w.	w.	PROPN
ap-916	190	8	:	:	PUNCT
ap-916	190	9	zeta	zeta	PROPN
ap-916	190	10	function	function	NOUN
ap-916	190	11	regularization	regularization	NOUN
ap-916	190	12	of	of	ADP
ap-916	190	13	path	path	NOUN
ap-916	190	14	integrals	integral	NOUN
ap-916	190	15	in	in	ADP
ap-916	190	16	curved	curved	ADJ
ap-916	190	17	space	space	NOUN
ap-916	190	18	-	-	PUNCT
ap-916	190	19	time	time	NOUN
ap-916	190	20	,	,	PUNCT
ap-916	190	21	commun	commun	PROPN
ap-916	190	22	.	.	PUNCT
ap-916	190	23	math	math	NOUN
ap-916	190	24	.	.	PUNCT
ap-916	191	1	phys	phy	NOUN
ap-916	191	2	.	.	PUNCT
ap-916	192	1	vol	vol	NOUN
ap-916	192	2	.	.	PUNCT
ap-916	193	1	55	55	NUM
ap-916	193	2	(	(	PUNCT
ap-916	193	3	1977	1977	NUM
ap-916	193	4	)	)	PUNCT
ap-916	193	5	,	,	PUNCT
ap-916	194	1	p.	p.	NOUN
ap-916	194	2	133–148	133–148	NUM
ap-916	194	3	.	.	PUNCT
ap-916	195	1	[	[	X
ap-916	195	2	3	3	NUM
ap-916	195	3	]	]	PUNCT
ap-916	195	4	d’hoker	d’hoker	NOUN
ap-916	195	5	e.	e.	PROPN
ap-916	195	6	,	,	PUNCT
ap-916	195	7	phong	phong	PROPN
ap-916	195	8	,	,	PUNCT
ap-916	195	9	d.	d.	PROPN
ap-916	195	10	h.	h.	PROPN
ap-916	195	11	:	:	PUNCT
ap-916	195	12	on	on	ADP
ap-916	195	13	determinants	determinant	NOUN
ap-916	195	14	of	of	ADP
ap-916	195	15	laplacians	laplacian	NOUN
ap-916	195	16	on	on	ADP
ap-916	195	17	riemann	riemann	PROPN
ap-916	195	18	surfaces	surface	NOUN
ap-916	195	19	,	,	PUNCT
ap-916	195	20	commun	commun	PROPN
ap-916	195	21	.	.	PUNCT
ap-916	195	22	math	math	NOUN
ap-916	195	23	.	.	PUNCT
ap-916	196	1	phys	phy	NOUN
ap-916	196	2	.	.	PUNCT
ap-916	197	1	vol	vol	NOUN
ap-916	197	2	.	.	PUNCT
ap-916	198	1	104	104	NUM
ap-916	198	2	(	(	PUNCT
ap-916	198	3	1986	1986	NUM
ap-916	198	4	)	)	PUNCT
ap-916	198	5	,	,	PUNCT
ap-916	199	1	p.	p.	NOUN
ap-916	199	2	537–545	537–545	NUM
ap-916	199	3	.	.	PUNCT
ap-916	200	1	[	[	X
ap-916	200	2	4	4	NUM
ap-916	200	3	]	]	PUNCT
ap-916	200	4	sarnak	sarnak	NOUN
ap-916	200	5	,	,	PUNCT
ap-916	200	6	p.	p.	NOUN
ap-916	200	7	:	:	PUNCT
ap-916	201	1	determinants	determinant	NOUN
ap-916	201	2	of	of	ADP
ap-916	201	3	laplacians	laplacian	NOUN
ap-916	201	4	,	,	PUNCT
ap-916	201	5	commun	commun	PROPN
ap-916	201	6	.	.	PUNCT
ap-916	201	7	math	math	NOUN
ap-916	201	8	.	.	PUNCT
ap-916	202	1	phys	phy	NOUN
ap-916	202	2	.	.	PUNCT
ap-916	203	1	vol	vol	NOUN
ap-916	203	2	.	.	PUNCT
ap-916	204	1	110	110	NUM
ap-916	204	2	(	(	PUNCT
ap-916	204	3	1987	1987	NUM
ap-916	204	4	)	)	PUNCT
ap-916	204	5	,	,	PUNCT
ap-916	204	6	p.	p.	NOUN
ap-916	204	7	113–120	113–120	NUM
ap-916	204	8	.	.	PUNCT
ap-916	205	1	[	[	X
ap-916	205	2	5	5	NUM
ap-916	205	3	]	]	X
ap-916	205	4	elizalde	elizalde	PROPN
ap-916	205	5	,	,	PUNCT
ap-916	205	6	e.	e.	PROPN
ap-916	205	7	,	,	PUNCT
ap-916	205	8	odintsov	odintsov	PROPN
ap-916	205	9	,	,	PUNCT
ap-916	205	10	s.	s.	PROPN
ap-916	205	11	d.	d.	PROPN
ap-916	205	12	,	,	PUNCT
ap-916	205	13	romeo	romeo	PROPN
ap-916	205	14	,	,	PUNCT
ap-916	205	15	a.	a.	NOUN
ap-916	205	16	,	,	PUNCT
ap-916	205	17	bytsenko	bytsenko	ADJ
ap-916	205	18	,	,	PUNCT
ap-916	205	19	a.	a.	NOUN
ap-916	205	20	a.	a.	PROPN
ap-916	205	21	,	,	PUNCT
ap-916	205	22	zerbini	zerbini	PROPN
ap-916	205	23	,	,	PUNCT
ap-916	205	24	s.	s.	PROPN
ap-916	205	25	:	:	PUNCT
ap-916	205	26	zeta	zeta	PROPN
ap-916	205	27	regularization	regularization	NOUN
ap-916	205	28	techniques	technique	NOUN
ap-916	205	29	with	with	ADP
ap-916	205	30	applications	application	NOUN
ap-916	205	31	,	,	PUNCT
ap-916	205	32	world	world	NOUN
ap-916	205	33	scientific	scientific	PROPN
ap-916	205	34	,	,	PUNCT
ap-916	205	35	singapore	singapore	PROPN
ap-916	205	36	,	,	PUNCT
ap-916	205	37	1994	1994	NUM
ap-916	205	38	.	.	PUNCT
ap-916	206	1	[	[	X
ap-916	206	2	6	6	NUM
ap-916	206	3	]	]	X
ap-916	206	4	kirsten	kirsten	PROPN
ap-916	206	5	,	,	PUNCT
ap-916	206	6	k.	k.	PROPN
ap-916	206	7	:	:	PUNCT
ap-916	206	8	spectral	spectral	ADJ
ap-916	206	9	functions	function	NOUN
ap-916	206	10	in	in	ADP
ap-916	206	11	mathematics	mathematic	NOUN
ap-916	206	12	and	and	CCONJ
ap-916	206	13	physics	physics	PROPN
ap-916	206	14	,	,	PUNCT
ap-916	206	15	chapman	chapman	PROPN
ap-916	206	16	-	-	PUNCT
ap-916	206	17	hall	hall	PROPN
ap-916	206	18	,	,	PUNCT
ap-916	206	19	boca	boca	PROPN
ap-916	206	20	raton	raton	PROPN
ap-916	206	21	,	,	PUNCT
ap-916	206	22	2002	2002	NUM
ap-916	206	23	.	.	PUNCT
ap-916	207	1	[	[	X
ap-916	207	2	7	7	NUM
ap-916	207	3	]	]	X
ap-916	207	4	gelfand	gelfand	PROPN
ap-916	207	5	.	.	PUNCT
ap-916	207	6	i.	i.	PROPN
ap-916	207	7	m.	m.	PROPN
ap-916	207	8	,	,	PUNCT
ap-916	207	9	yaglom	yaglom	NOUN
ap-916	207	10	,	,	PUNCT
ap-916	207	11	a.	a.	NOUN
ap-916	207	12	m.	m.	NOUN
ap-916	207	13	:	:	PUNCT
ap-916	207	14	integration	integration	NOUN
ap-916	207	15	in	in	ADP
ap-916	207	16	functional	functional	ADJ
ap-916	207	17	spaces	space	NOUN
ap-916	207	18	and	and	CCONJ
ap-916	207	19	its	its	PRON
ap-916	207	20	applications	application	NOUN
ap-916	207	21	in	in	ADP
ap-916	207	22	quantum	quantum	ADJ
ap-916	207	23	physics	physics	NOUN
ap-916	207	24	,	,	PUNCT
ap-916	207	25	j.	j.	PROPN
ap-916	207	26	math	math	PROPN
ap-916	207	27	.	.	PUNCT
ap-916	208	1	phys	phy	NOUN
ap-916	208	2	.	.	PUNCT
ap-916	209	1	vol	vol	NOUN
ap-916	209	2	.	.	PROPN
ap-916	209	3	1	1	NUM
ap-916	209	4	(	(	PUNCT
ap-916	209	5	1960	1960	NUM
ap-916	209	6	)	)	PUNCT
ap-916	209	7	,	,	PUNCT
ap-916	209	8	p.	p.	NOUN
ap-916	209	9	48–69	48–69	NOUN
ap-916	209	10	.	.	PUNCT
ap-916	210	1	©	©	PROPN
ap-916	210	2	czech	czech	PROPN
ap-916	210	3	technical	technical	PROPN
ap-916	210	4	university	university	PROPN
ap-916	210	5	publishing	publishing	NOUN
ap-916	210	6	house	house	NOUN
ap-916	210	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	210	8	7	7	NUM
ap-916	210	9	acta	acta	PROPN
ap-916	210	10	polytechnica	polytechnica	PROPN
ap-916	210	11	vol	vol	NOUN
ap-916	210	12	.	.	PUNCT
ap-916	211	1	47	47	NUM
ap-916	211	2	no	no	NOUN
ap-916	211	3	.	.	PUNCT
ap-916	212	1	2–3/2007	2–3/2007	NUM
ap-916	212	2	�	�	PROPN
ap-916	212	3	�	�	PROPN
ap-916	212	4	�	�	PROPN
ap-916	212	5	�	�	PROPN
ap-916	212	6	�	�	PROPN
ap-916	212	7	�	�	PROPN
ap-916	212	8	�	�	PROPN
ap-916	212	9	�	�	PROPN
ap-916	212	10	�	�	PROPN
ap-916	212	11	�	�	PROPN
ap-916	212	12	�	�	PROPN
ap-916	212	13	�	�	PROPN
ap-916	212	14	�	�	PROPN
ap-916	212	15	�	�	PROPN
ap-916	212	16	�	�	PROPN
ap-916	212	17	�	�	PROPN
ap-916	212	18	�	�	PROPN
ap-916	212	19	�	�	PROPN
ap-916	212	20	�	�	PROPN
ap-916	212	21	�	�	PROPN
ap-916	212	22	as	as	ADP
ap-916	212	23	d	d	NOUN
ap-916	212	24	r	r	NOUN
ap-916	212	25	r	r	NOUN
ap-916	212	26	v	v	NOUN
ap-916	212	27	v	v	NOUN
ap-916	212	28	m	m	NOUN
ap-916	212	29	r	r	NOUN
ap-916	212	30	(	(	PUNCT
ap-916	212	31	)	)	PUNCT
ap-916	212	32	(	(	PUNCT
ap-916	212	33	)	)	PUNCT
ap-916	213	1	ln0	ln0	ADV
ap-916	213	2	1	1	NUM
ap-916	213	3	8	8	NUM
ap-916	213	4	2	2	NUM
ap-916	213	5	2	2	NUM
ap-916	213	6	14	14	NUM
ap-916	213	7	3	3	NUM
ap-916	213	8	2	2	NUM
ap-916	213	9	0	0	NUM
ap-916	214	1	d	d	NOUN
ap-916	214	2	dr	dr	PROPN
ap-916	214	3	r	r	NOUN
ap-916	214	4	v	v	NOUN
ap-916	214	5	r	r	NOUN
ap-916	214	6	mr	mr	PROPN
ap-916	214	7	mr	mr	PROPN
ap-916	214	8	(	(	PUNCT
ap-916	214	9	)	)	PUNCT
ap-916	214	10	1	1	NUM
ap-916	214	11	2	2	NUM
ap-916	214	12	1	1	NUM
ap-916	214	13	1	1	NUM
ap-916	214	14	1	1	NUM
ap-916	214	15	2	2	NUM
ap-916	214	16	2	2	NUM
ap-916	214	17	1	1	NUM
ap-916	214	18	2	2	NUM
ap-916	214	19	2	2	NUM
ap-916	214	20	�	�	PROPN
ap-916	214	21	�	�	PROPN
ap-916	214	22	�	�	PROPN
ap-916	214	23	�	�	PROPN
ap-916	214	24	�	�	PROPN
ap-916	214	25	�	�	PROPN
ap-916	214	26	�	�	PROPN
ap-916	214	27	�	�	PROPN
ap-916	214	28	�	�	PROPN
ap-916	214	29	�	�	PROPN
ap-916	214	30	�	�	PROPN
ap-916	214	31	�	�	PROPN
ap-916	214	32	�	�	PROPN
ap-916	214	33	�	�	PROPN
ap-916	214	34	�	�	PROPN
ap-916	214	35	�	�	PROPN
ap-916	214	36	�	�	PROPN
ap-916	214	37	�	�	PROPN
ap-916	214	38	�	�	PROPN
ap-916	214	39	�	�	PROPN
ap-916	214	40	�	�	PROPN
ap-916	214	41	�	�	PROPN
ap-916	214	42	�	�	PROPN
ap-916	214	43	�	�	PROPN
ap-916	214	44	�	�	PROPN
ap-916	214	45	�	�	PROPN
ap-916	214	46	�	�	PROPN
ap-916	214	47	�	�	PROPN
ap-916	214	48	�	�	PROPN
ap-916	214	49	�	�	PROPN
ap-916	214	50	�	�	PROPN
ap-916	214	51	�	�	PROPN
ap-916	214	52	�	�	PROPN
ap-916	214	53	�	�	PROPN
ap-916	214	54	�	�	PROPN
ap-916	214	55	�	�	PROPN
ap-916	214	56	�	�	PROPN
ap-916	214	57	�	�	PROPN
ap-916	214	58	�	�	PROPN
ap-916	214	59	�	�	PROPN
ap-916	214	60	�	�	PROPN
ap-916	214	61	�	�	PROPN
ap-916	214	62	�	�	PROPN
ap-916	214	63	�	�	PROPN
ap-916	214	64	�	�	PROPN
ap-916	214	65	�	�	PROPN
ap-916	214	66	�	�	PROPN
ap-916	214	67	�	�	PROPN
ap-916	214	68	�	�	PROPN
ap-916	214	69	�	�	PROPN
ap-916	214	70	�	�	PROPN
ap-916	214	71	�	�	PROPN
ap-916	214	72	�	�	PROPN
ap-916	214	73	�	�	PROPN
ap-916	214	74	�	�	PROPN
ap-916	214	75	�	�	PROPN
ap-916	214	76	10	10	NUM
ap-916	214	77	2	2	NUM
ap-916	214	78	3	3	NUM
ap-916	214	79	21	21	NUM
ap-916	214	80	16	16	NUM
ap-916	214	81	1	1	NUM
ap-916	214	82	1	1	NUM
ap-916	214	83	6	6	NUM
ap-916	214	84	1	1	NUM
ap-916	214	85	mr	mr	PROPN
ap-916	214	86	�	�	PROPN
ap-916	214	87	�	�	PROPN
ap-916	214	88	�	�	PROPN
ap-916	214	89	�	�	PROPN
ap-916	214	90	�	�	PROPN
ap-916	214	91	�	�	PROPN
ap-916	214	92	�	�	PROPN
ap-916	214	93	�	�	PROPN
ap-916	214	94	�	�	PROPN
ap-916	214	95	�	�	PROPN
ap-916	214	96	�	�	PROPN
ap-916	214	97	�	�	PROPN
ap-916	214	98	�	�	PROPN
ap-916	214	99	�	�	PROPN
ap-916	214	100	�	�	PROPN
ap-916	214	101	�	�	PROPN
ap-916	214	102	�	�	PROPN
ap-916	214	103	�	�	PROPN
ap-916	214	104	�	�	PROPN
ap-916	214	105	�	�	PROPN
ap-916	214	106	�	�	PROPN
ap-916	214	107	�	�	PROPN
ap-916	214	108	�	�	PROPN
ap-916	214	109	�	�	PROPN
ap-916	214	110	�	�	PROPN
ap-916	214	111	�	�	PROPN
ap-916	214	112	�	�	PROPN
ap-916	214	113	�	�	PROPN
ap-916	214	114	�	�	PROPN
ap-916	214	115	�	�	PROPN
ap-916	214	116	mr	mr	PROPN
ap-916	214	117	mr	mr	PROPN
ap-916	214	118	�	�	PROPN
ap-916	214	119	�	�	PROPN
ap-916	214	120	2	2	NUM
ap-916	214	121	5	5	NUM
ap-916	214	122	2	2	NUM
ap-916	214	123	2	2	NUM
ap-916	214	124	7	7	NUM
ap-916	214	125	2	2	NUM
ap-916	214	126	5	5	NUM
ap-916	214	127	1	1	NUM
ap-916	214	128	�	�	PROPN
ap-916	214	129	�	�	PROPN
ap-916	214	130	�	�	PROPN
ap-916	214	131	�	�	PROPN
ap-916	214	132	�	�	PROPN
ap-916	214	133	�	�	PROPN
ap-916	214	134	�	�	PROPN
ap-916	214	135	�	�	PROPN
ap-916	214	136	�	�	PROPN
ap-916	214	137	�	�	PROPN
ap-916	214	138	�	�	PROPN
ap-916	214	139	�	�	PROPN
ap-916	214	140	�	�	PROPN
ap-916	214	141	�	�	PROPN
ap-916	214	142	�	�	PROPN
ap-916	214	143	�	�	PROPN
ap-916	214	144	�	�	PROPN
ap-916	214	145	�	�	PROPN
ap-916	214	146	�	�	PROPN
ap-916	214	147	�	�	PROPN
ap-916	214	148	�	�	PROPN
ap-916	214	149	�	�	PROPN
ap-916	214	150	�	�	PROPN
ap-916	214	151	�	�	PROPN
ap-916	214	152	�	�	PROPN
ap-916	214	153	�	�	PROPN
ap-916	214	154	�	�	PROPN
ap-916	214	155	1	1	NUM
ap-916	214	156	3	3	NUM
ap-916	214	157	2	2	NUM
ap-916	214	158	21	21	NUM
ap-916	214	159	8	8	NUM
ap-916	214	160	1	1	NUM
ap-916	214	161	1dr	1dr	NOUN
ap-916	214	162	r	r	NOUN
ap-916	214	163	v	v	NOUN
ap-916	214	164	r	r	NOUN
ap-916	214	165	mr	mr	PROPN
ap-916	214	166	(	(	PUNCT
ap-916	214	167	)	)	PUNCT
ap-916	214	168	�	�	PROPN
ap-916	214	169	�	�	PROPN
ap-916	214	170	�	�	PROPN
ap-916	214	171	�	�	PROPN
ap-916	214	172	�	�	PROPN
ap-916	214	173	�	�	PROPN
ap-916	214	174	�	�	PROPN
ap-916	214	175	�	�	PROPN
ap-916	214	176	�	�	PROPN
ap-916	214	177	�	�	PROPN
ap-916	214	178	�	�	PROPN
ap-916	214	179	�	�	PROPN
ap-916	214	180	�	�	PROPN
ap-916	214	181	�	�	PROPN
ap-916	214	182	�	�	PROPN
ap-916	214	183	�	�	PROPN
ap-916	214	184	�	�	PROPN
ap-916	214	185	�	�	PROPN
ap-916	214	186	3	3	NUM
ap-916	214	187	2	2	NUM
ap-916	214	188	10	10	NUM
ap-916	214	189	1	1	NUM
ap-916	214	190	�	�	PROPN
ap-916	214	191	.	.	PUNCT
ap-916	215	1	(	(	PUNCT
ap-916	215	2	32	32	NUM
ap-916	215	3	)	)	PUNCT
ap-916	216	1	[	[	X
ap-916	216	2	8	8	NUM
ap-916	216	3	]	]	SYM
ap-916	216	4	levit	levit	PROPN
ap-916	216	5	,	,	PUNCT
ap-916	216	6	s.	s.	PROPN
ap-916	216	7	,	,	PUNCT
ap-916	216	8	smilansky	smilansky	VERB
ap-916	216	9	,	,	PUNCT
ap-916	216	10	u.	u.	PROPN
ap-916	216	11	:	:	PUNCT
ap-916	216	12	a	a	DET
ap-916	216	13	theorem	theorem	NOUN
ap-916	216	14	on	on	ADP
ap-916	216	15	infinite	infinite	ADJ
ap-916	216	16	products	product	NOUN
ap-916	216	17	of	of	ADP
ap-916	216	18	eigenvalues	eigenvalue	NOUN
ap-916	216	19	of	of	ADP
ap-916	216	20	sturm	sturm	NOUN
ap-916	216	21	-	-	PUNCT
ap-916	216	22	liouville	liouville	NOUN
ap-916	216	23	type	type	NOUN
ap-916	216	24	operators	operator	NOUN
ap-916	216	25	,	,	PUNCT
ap-916	216	26	proc	proc	NOUN
ap-916	216	27	.	.	PUNCT
ap-916	217	1	am	be	AUX
ap-916	217	2	.	.	PUNCT
ap-916	218	1	math	math	NOUN
ap-916	218	2	.	.	PUNCT
ap-916	219	1	soc	soc	PROPN
ap-916	219	2	.	.	PUNCT
ap-916	220	1	vol	vol	NOUN
ap-916	220	2	.	.	PUNCT
ap-916	221	1	65	65	NUM
ap-916	221	2	(	(	PUNCT
ap-916	221	3	1977	1977	NUM
ap-916	221	4	)	)	PUNCT
ap-916	221	5	,	,	PUNCT
ap-916	221	6	p.	p.	NOUN
ap-916	221	7	299–303	299–303	NUM
ap-916	221	8	.	.	PUNCT
ap-916	222	1	[	[	X
ap-916	222	2	9	9	NUM
ap-916	222	3	]	]	SYM
ap-916	222	4	forman	forman	NOUN
ap-916	222	5	,	,	PUNCT
ap-916	222	6	r.	r.	PROPN
ap-916	222	7	:	:	PUNCT
ap-916	222	8	functional	functional	ADJ
ap-916	222	9	determinants	determinant	NOUN
ap-916	222	10	and	and	CCONJ
ap-916	222	11	geometry	geometry	NOUN
ap-916	222	12	,	,	PUNCT
ap-916	222	13	invent	invent	NOUN
ap-916	222	14	.	.	PUNCT
ap-916	223	1	math	math	NOUN
ap-916	223	2	.	.	PUNCT
ap-916	224	1	vol	vol	NOUN
ap-916	224	2	.	.	PROPN
ap-916	225	1	88	88	NUM
ap-916	225	2	(	(	PUNCT
ap-916	225	3	1987	1987	NUM
ap-916	225	4	)	)	PUNCT
ap-916	225	5	,	,	PUNCT
ap-916	226	1	p.	p.	NOUN
ap-916	226	2	447–493	447–493	NUM
ap-916	226	3	;	;	PUNCT
ap-916	226	4	erratum	erratum	NOUN
ap-916	226	5	,	,	PUNCT
ap-916	226	6	ibid	ibid	NOUN
ap-916	226	7	108	108	NUM
ap-916	226	8	(	(	PUNCT
ap-916	226	9	1992	1992	NUM
ap-916	226	10	)	)	PUNCT
ap-916	226	11	,	,	PUNCT
ap-916	226	12	p.	p.	NOUN
ap-916	226	13	453–454	453–454	NUM
ap-916	226	14	.	.	PUNCT
ap-916	227	1	[	[	X
ap-916	227	2	10	10	NUM
ap-916	227	3	]	]	X
ap-916	227	4	kirsten	kirsten	PROPN
ap-916	227	5	,	,	PUNCT
ap-916	227	6	k.	k.	PROPN
ap-916	227	7	,	,	PUNCT
ap-916	227	8	mckane	mckane	PROPN
ap-916	227	9	,	,	PUNCT
ap-916	227	10	a.	a.	PROPN
ap-916	227	11	j.	j.	PROPN
ap-916	227	12	:	:	PUNCT
ap-916	227	13	functional	functional	ADJ
ap-916	227	14	determinants	determinant	NOUN
ap-916	227	15	by	by	ADP
ap-916	227	16	contour	contour	NOUN
ap-916	227	17	integration	integration	NOUN
ap-916	227	18	methods	method	NOUN
ap-916	227	19	,	,	PUNCT
ap-916	227	20	annals	annal	VERB
ap-916	227	21	phys	phy	NOUN
ap-916	227	22	.	.	PUNCT
ap-916	228	1	vol	vol	NOUN
ap-916	228	2	.	.	PUNCT
ap-916	229	1	308	308	NUM
ap-916	229	2	(	(	PUNCT
ap-916	229	3	2003	2003	NUM
ap-916	229	4	)	)	PUNCT
ap-916	229	5	,	,	PUNCT
ap-916	230	1	p.	p.	NOUN
ap-916	230	2	502–527	502–527	NUM
ap-916	231	1	[	[	X
ap-916	231	2	arxiv	arxiv	PROPN
ap-916	231	3	:	:	PUNCT
ap-916	231	4	math	math	NOUN
ap-916	231	5	-	-	PUNCT
ap-916	231	6	ph/0305010	ph/0305010	PROPN
ap-916	231	7	]	]	X
ap-916	231	8	;	;	PUNCT
ap-916	231	9	functional	functional	ADJ
ap-916	231	10	determinants	determinant	NOUN
ap-916	231	11	for	for	ADP
ap-916	231	12	general	general	ADJ
ap-916	231	13	sturm	sturm	PROPN
ap-916	231	14	-	-	PUNCT
ap-916	231	15	liouville	liouville	NOUN
ap-916	231	16	problems	problem	NOUN
ap-916	231	17	,	,	PUNCT
ap-916	231	18	j.	j.	PROPN
ap-916	231	19	phys	phys	PROPN
ap-916	231	20	.	.	PUNCT
ap-916	232	1	a	a	DET
ap-916	232	2	vol	vol	NOUN
ap-916	232	3	.	.	PUNCT
ap-916	232	4	37	37	NUM
ap-916	232	5	(	(	PUNCT
ap-916	232	6	2004	2004	NUM
ap-916	232	7	)	)	PUNCT
ap-916	232	8	,	,	PUNCT
ap-916	233	1	p.	p.	NOUN
ap-916	233	2	4649–4670	4649–4670	NUM
ap-916	234	1	[	[	X
ap-916	234	2	arxiv	arxiv	NOUN
ap-916	234	3	:	:	PUNCT
ap-916	234	4	math	math	NOUN
ap-916	234	5	-	-	PUNCT
ap-916	234	6	ph/0403050	ph/0403050	PROPN
ap-916	234	7	]	]	X
ap-916	234	8	.	.	PUNCT
ap-916	235	1	[	[	X
ap-916	235	2	11	11	NUM
ap-916	235	3	]	]	X
ap-916	235	4	kleinert	kleinert	PROPN
ap-916	235	5	,	,	PUNCT
ap-916	235	6	h.	h.	PROPN
ap-916	235	7	:	:	PUNCT
ap-916	235	8	path	path	NOUN
ap-916	235	9	integrals	integral	NOUN
ap-916	235	10	in	in	ADP
ap-916	235	11	quantum	quantum	ADJ
ap-916	235	12	mechanics	mechanic	NOUN
ap-916	235	13	,	,	PUNCT
ap-916	235	14	statistics	statistic	NOUN
ap-916	235	15	,	,	PUNCT
ap-916	235	16	polymer	polymer	NOUN
ap-916	235	17	physics	physics	NOUN
ap-916	235	18	,	,	PUNCT
ap-916	235	19	and	and	CCONJ
ap-916	235	20	financial	financial	ADJ
ap-916	235	21	markets	market	NOUN
ap-916	235	22	,	,	PUNCT
ap-916	235	23	world	world	NOUN
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ap-916	235	25	,	,	PUNCT
ap-916	235	26	singapore	singapore	PROPN
ap-916	235	27	,	,	PUNCT
ap-916	235	28	2004	2004	NUM
ap-916	235	29	.	.	PUNCT
ap-916	236	1	[	[	X
ap-916	236	2	12	12	NUM
ap-916	236	3	]	]	X
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ap-916	236	5	,	,	PUNCT
ap-916	236	6	g.	g.	PROPN
ap-916	236	7	v.	v.	PROPN
ap-916	236	8	,	,	PUNCT
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ap-916	236	10	,	,	PUNCT
ap-916	236	11	h.	h.	NOUN
ap-916	236	12	:	:	PUNCT
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ap-916	236	14	the	the	DET
ap-916	236	15	thin	thin	ADJ
ap-916	236	16	-	-	PUNCT
ap-916	236	17	wall	wall	NOUN
ap-916	236	18	approximation	approximation	NOUN
ap-916	236	19	:	:	PUNCT
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ap-916	236	21	numerical	numerical	ADJ
ap-916	236	22	computation	computation	NOUN
ap-916	236	23	of	of	ADP
ap-916	236	24	prefactors	prefactor	NOUN
ap-916	236	25	in	in	ADP
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ap-916	236	28	decay	decay	NOUN
ap-916	236	29	,	,	PUNCT
ap-916	236	30	phys	phy	NOUN
ap-916	236	31	.	.	PUNCT
ap-916	236	32	rev	rev	PROPN
ap-916	236	33	.	.	PUNCT
ap-916	237	1	d	d	NOUN
ap-916	237	2	vol	vol	NOUN
ap-916	237	3	.	.	PROPN
ap-916	237	4	72	72	NUM
ap-916	237	5	(	(	PUNCT
ap-916	237	6	2005	2005	NUM
ap-916	237	7	)	)	PUNCT
ap-916	237	8	,	,	PUNCT
ap-916	237	9	125004	125004	NUM
ap-916	238	1	[	[	X
ap-916	238	2	arxiv	arxiv	NOUN
ap-916	238	3	:	:	PUNCT
ap-916	238	4	hep	hep	NOUN
ap-916	238	5	-	-	PROPN
ap-916	238	6	th/0511156	th/0511156	PROPN
ap-916	238	7	]	]	X
ap-916	238	8	.	.	PUNCT
ap-916	239	1	[	[	X
ap-916	239	2	13	13	NUM
ap-916	239	3	]	]	X
ap-916	239	4	dunne	dunne	PROPN
ap-916	239	5	,	,	PUNCT
ap-916	239	6	g.	g.	PROPN
ap-916	239	7	v.	v.	PROPN
ap-916	239	8	,	,	PUNCT
ap-916	239	9	hur	hur	PROPN
ap-916	239	10	,	,	PUNCT
ap-916	239	11	j.	j.	PROPN
ap-916	239	12	,	,	PUNCT
ap-916	239	13	lee	lee	PROPN
ap-916	239	14	,	,	PUNCT
ap-916	239	15	c.	c.	PROPN
ap-916	239	16	,	,	PUNCT
ap-916	239	17	min	min	PROPN
ap-916	239	18	,	,	PUNCT
ap-916	239	19	h.	h.	NOUN
ap-916	239	20	:	:	PUNCT
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ap-916	239	22	determinant	determinant	ADJ
ap-916	239	23	with	with	ADP
ap-916	239	24	arbitrary	arbitrary	ADJ
ap-916	239	25	quark	quark	PROPN
ap-916	239	26	mass	mass	PROPN
ap-916	239	27	:	:	PUNCT
ap-916	239	28	wkb	wkb	NOUN
ap-916	239	29	phase	phase	NOUN
ap-916	239	30	-	-	PUNCT
ap-916	239	31	shift	shift	NOUN
ap-916	239	32	method	method	NOUN
ap-916	239	33	and	and	CCONJ
ap-916	239	34	derivative	derivative	ADJ
ap-916	239	35	expansion	expansion	NOUN
ap-916	239	36	,	,	PUNCT
ap-916	239	37	phys	phy	NOUN
ap-916	239	38	.	.	PUNCT
ap-916	240	1	lett	lett	PROPN
ap-916	240	2	.	.	PUNCT
ap-916	241	1	b	b	X
ap-916	241	2	vol	vol	NOUN
ap-916	241	3	.	.	PUNCT
ap-916	242	1	600	600	NUM
ap-916	242	2	(	(	PUNCT
ap-916	242	3	2004	2004	NUM
ap-916	242	4	)	)	PUNCT
ap-916	242	5	,	,	PUNCT
ap-916	243	1	p.	p.	NOUN
ap-916	243	2	302–313	302–313	NUM
ap-916	244	1	[	[	X
ap-916	244	2	arxiv	arxiv	NOUN
ap-916	244	3	:	:	PUNCT
ap-916	244	4	hep	hep	NOUN
ap-916	244	5	-	-	PUNCT
ap-916	244	6	th/0407222	th/0407222	PROPN
ap-916	244	7	]	]	X
ap-916	244	8	;	;	PUNCT
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ap-916	244	10	quark	quark	PROPN
ap-916	244	11	mass	mass	PROPN
ap-916	244	12	dependence	dependence	NOUN
ap-916	244	13	of	of	ADP
ap-916	244	14	instanton	instanton	PROPN
ap-916	244	15	determinant	determinant	ADJ
ap-916	244	16	,	,	PUNCT
ap-916	244	17	phys	phy	NOUN
ap-916	244	18	.	.	PUNCT
ap-916	245	1	rev	rev	PROPN
ap-916	245	2	.	.	PROPN
ap-916	245	3	lett	lett	PROPN
ap-916	245	4	.	.	PUNCT
ap-916	246	1	vol	vol	NOUN
ap-916	246	2	.	.	PUNCT
ap-916	247	1	94	94	NUM
ap-916	247	2	(	(	PUNCT
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ap-916	247	4	)	)	PUNCT
ap-916	247	5	,	,	PUNCT
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ap-916	248	1	[	[	X
ap-916	248	2	arxiv	arxiv	NOUN
ap-916	248	3	:	:	PUNCT
ap-916	248	4	hep	hep	NOUN
ap-916	248	5	-	-	NOUN
ap-916	248	6	th/0410190	th/0410190	NOUN
ap-916	248	7	]	]	PUNCT
ap-916	248	8	;	;	PUNCT
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ap-916	248	11	qcd	qcd	PROPN
ap-916	248	12	instanton	instanton	VERB
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ap-916	248	14	with	with	ADP
ap-916	248	15	arbitrary	arbitrary	ADJ
ap-916	248	16	mass	mass	NOUN
ap-916	248	17	,	,	PUNCT
ap-916	248	18	phys	phy	NOUN
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ap-916	248	21	.	.	PUNCT
ap-916	249	1	d	d	NOUN
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ap-916	249	3	.	.	PUNCT
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ap-916	250	2	(	(	PUNCT
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ap-916	250	4	)	)	PUNCT
ap-916	250	5	,	,	PUNCT
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ap-916	251	1	[	[	X
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ap-916	251	3	:	:	PUNCT
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ap-916	251	5	-	-	PUNCT
ap-916	251	6	th/0502087	th/0502087	NOUN
ap-916	251	7	]	]	PUNCT
ap-916	251	8	.	.	PUNCT
ap-916	252	1	[	[	X
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ap-916	252	3	]	]	X
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ap-916	252	5	,	,	PUNCT
ap-916	252	6	g.	g.	PROPN
ap-916	252	7	v.	v.	PROPN
ap-916	252	8	,	,	PUNCT
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ap-916	252	10	,	,	PUNCT
ap-916	252	11	k.	k.	PROPN
ap-916	252	12	:	:	PUNCT
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ap-916	252	14	determinants	determinant	NOUN
ap-916	252	15	for	for	ADP
ap-916	252	16	radial	radial	ADJ
ap-916	252	17	operators	operator	NOUN
ap-916	252	18	,	,	PUNCT
ap-916	252	19	j.	j.	PROPN
ap-916	252	20	phys	phys	PROPN
ap-916	252	21	.	.	PUNCT
ap-916	253	1	a	a	DET
ap-916	253	2	vol	vol	NOUN
ap-916	253	3	.	.	PUNCT
ap-916	253	4	39	39	NUM
ap-916	253	5	(	(	PUNCT
ap-916	253	6	2006	2006	NUM
ap-916	253	7	)	)	PUNCT
ap-916	253	8	,	,	PUNCT
ap-916	254	1	p.	p.	NOUN
ap-916	254	2	11915–11928	11915–11928	NUM
ap-916	255	1	[	[	X
ap-916	255	2	arxiv	arxiv	NOUN
ap-916	255	3	:	:	PUNCT
ap-916	255	4	hep	hep	NOUN
ap-916	255	5	-	-	PROPN
ap-916	255	6	th/0607066	th/0607066	PROPN
ap-916	255	7	]	]	X
ap-916	255	8	.	.	PUNCT
ap-916	256	1	[	[	X
ap-916	256	2	15	15	NUM
ap-916	256	3	]	]	X
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ap-916	256	5	,	,	PUNCT
ap-916	256	6	j.	j.	PROPN
ap-916	256	7	r.	r.	PROPN
ap-916	256	8	:	:	PUNCT
ap-916	256	9	scattering	scatter	VERB
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ap-916	256	11	,	,	PUNCT
ap-916	256	12	wiley	wiley	PROPN
ap-916	256	13	,	,	PUNCT
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ap-916	256	18	.	.	PUNCT
ap-916	257	1	[	[	X
ap-916	257	2	16	16	NUM
ap-916	257	3	]	]	SYM
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ap-916	257	5	,	,	PUNCT
ap-916	257	6	j.	j.	PROPN
ap-916	257	7	,	,	PUNCT
ap-916	257	8	lavrelashvili	lavrelashvili	PROPN
ap-916	257	9	,	,	PUNCT
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ap-916	257	11	:	:	PUNCT
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ap-916	257	13	-	-	PUNCT
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ap-916	257	15	corrections	correction	NOUN
ap-916	257	16	to	to	ADP
ap-916	257	17	the	the	DET
ap-916	257	18	metastable	metastable	ADJ
ap-916	257	19	vacuum	vacuum	NOUN
ap-916	257	20	decay	decay	NOUN
ap-916	257	21	,	,	PUNCT
ap-916	257	22	phys	phy	NOUN
ap-916	257	23	.	.	PUNCT
ap-916	257	24	rev	rev	PROPN
ap-916	257	25	.	.	PUNCT
ap-916	258	1	d	d	NOUN
ap-916	258	2	vol	vol	NOUN
ap-916	258	3	.	.	PUNCT
ap-916	259	1	69	69	NUM
ap-916	259	2	(	(	PUNCT
ap-916	259	3	2004	2004	NUM
ap-916	259	4	)	)	PUNCT
ap-916	259	5	,	,	PUNCT
ap-916	259	6	025009	025009	NUM
ap-916	260	1	[	[	X
ap-916	260	2	arxiv	arxiv	NOUN
ap-916	260	3	:	:	PUNCT
ap-916	260	4	hep	hep	PROPN
ap-916	260	5	-	-	PROPN
ap-916	260	6	th/0307202	th/0307202	PROPN
ap-916	260	7	]	]	PUNCT
ap-916	260	8	.	.	PUNCT
ap-916	261	1	[	[	X
ap-916	261	2	17	17	NUM
ap-916	261	3	]	]	SYM
ap-916	261	4	baacke	baacke	NOUN
ap-916	261	5	,	,	PUNCT
ap-916	261	6	j.	j.	PROPN
ap-916	261	7	:	:	PUNCT
ap-916	261	8	numerical	numerical	ADJ
ap-916	261	9	evaluation	evaluation	NOUN
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ap-916	261	11	the	the	DET
ap-916	261	12	one	one	NUM
ap-916	261	13	loop	loop	NOUN
ap-916	261	14	effective	effective	ADJ
ap-916	261	15	action	action	NOUN
ap-916	261	16	in	in	ADP
ap-916	261	17	static	static	ADJ
ap-916	261	18	backgrounds	background	NOUN
ap-916	261	19	with	with	ADP
ap-916	261	20	spherical	spherical	ADJ
ap-916	261	21	symmetry	symmetry	NOUN
ap-916	261	22	,	,	PUNCT
ap-916	261	23	z.	z.	PROPN
ap-916	261	24	phys	phys	PROPN
ap-916	261	25	.	.	PUNCT
ap-916	262	1	c	c	NOUN
ap-916	262	2	vol	vol	NOUN
ap-916	262	3	.	.	PUNCT
ap-916	263	1	47	47	NUM
ap-916	263	2	(	(	PUNCT
ap-916	263	3	1990	1990	NUM
ap-916	263	4	)	)	PUNCT
ap-916	263	5	,	,	PUNCT
ap-916	264	1	p.	p.	NOUN
ap-916	264	2	263–268	263–268	NUM
ap-916	264	3	;	;	PUNCT
ap-916	264	4	the	the	DET
ap-916	264	5	effective	effective	ADJ
ap-916	264	6	action	action	NOUN
ap-916	264	7	of	of	ADP
ap-916	264	8	a	a	DET
ap-916	264	9	spin	spin	NOUN
ap-916	264	10	1/2	1/2	NUM
ap-916	264	11	field	field	NOUN
ap-916	264	12	in	in	ADP
ap-916	264	13	the	the	DET
ap-916	264	14	background	background	NOUN
ap-916	264	15	of	of	ADP
ap-916	264	16	a	a	DET
ap-916	264	17	chiral	chiral	ADJ
ap-916	264	18	soliton	soliton	NOUN
ap-916	264	19	,	,	PUNCT
ap-916	264	20	z.	z.	PROPN
ap-916	264	21	phys	phys	PROPN
ap-916	264	22	.	.	PUNCT
ap-916	265	1	c	c	NOUN
ap-916	265	2	vol	vol	NOUN
ap-916	265	3	.	.	PUNCT
ap-916	266	1	53	53	NUM
ap-916	266	2	(	(	PUNCT
ap-916	266	3	1992	1992	NUM
ap-916	266	4	)	)	PUNCT
ap-916	266	5	,	,	PUNCT
ap-916	266	6	p.	p.	NOUN
ap-916	266	7	407–411	407–411	NUM
ap-916	266	8	.	.	PUNCT
ap-916	267	1	[	[	X
ap-916	267	2	18	18	NUM
ap-916	267	3	]	]	X
ap-916	267	4	carson	carson	PROPN
ap-916	267	5	,	,	PUNCT
ap-916	267	6	l.	l.	PROPN
ap-916	267	7	,	,	PUNCT
ap-916	267	8	li	li	PROPN
ap-916	267	9	,	,	PUNCT
ap-916	267	10	x.	x.	NOUN
ap-916	267	11	,	,	PUNCT
ap-916	267	12	mclerran	mclerran	PROPN
ap-916	267	13	,	,	PUNCT
ap-916	267	14	l.	l.	PROPN
ap-916	267	15	d.	d.	PROPN
ap-916	267	16	,	,	PUNCT
ap-916	267	17	wang	wang	PROPN
ap-916	267	18	,	,	PUNCT
ap-916	267	19	r.	r.	PROPN
ap-916	267	20	t.	t.	PROPN
ap-916	267	21	:	:	PUNCT
ap-916	267	22	exact	exact	ADJ
ap-916	267	23	computation	computation	NOUN
ap-916	267	24	of	of	ADP
ap-916	267	25	the	the	DET
ap-916	267	26	small	small	ADJ
ap-916	267	27	fluctuation	fluctuation	NOUN
ap-916	267	28	determinant	determinant	ADJ
ap-916	267	29	around	around	ADP
ap-916	267	30	a	a	DET
ap-916	267	31	sphaleron	sphaleron	NOUN
ap-916	267	32	,	,	PUNCT
ap-916	267	33	phys	phy	NOUN
ap-916	267	34	.	.	PUNCT
ap-916	267	35	rev	rev	PROPN
ap-916	267	36	.	.	PUNCT
ap-916	268	1	d	d	NOUN
ap-916	268	2	vol	vol	NOUN
ap-916	268	3	.	.	PROPN
ap-916	268	4	42	42	NUM
ap-916	268	5	,	,	PUNCT
ap-916	268	6	(	(	PUNCT
ap-916	268	7	1990	1990	NUM
ap-916	268	8	)	)	PUNCT
ap-916	268	9	,	,	PUNCT
ap-916	269	1	p.	p.	NOUN
ap-916	269	2	2127–2143	2127–2143	NOUN
ap-916	270	1	[	[	X
ap-916	270	2	19	19	NUM
ap-916	270	3	]	]	SYM
ap-916	270	4	baacke	baacke	NOUN
ap-916	270	5	,	,	PUNCT
ap-916	270	6	j.	j.	PROPN
ap-916	270	7	,	,	PUNCT
ap-916	270	8	junker	junker	PROPN
ap-916	270	9	,	,	PUNCT
ap-916	270	10	s.	s.	PROPN
ap-916	270	11	:	:	PUNCT
ap-916	270	12	quantum	quantum	NOUN
ap-916	270	13	fluctuations	fluctuation	NOUN
ap-916	270	14	around	around	ADP
ap-916	270	15	the	the	DET
ap-916	270	16	electroweak	electroweak	NOUN
ap-916	270	17	sphaleron	sphaleron	NOUN
ap-916	270	18	,	,	PUNCT
ap-916	270	19	phys	phy	NOUN
ap-916	270	20	.	.	PUNCT
ap-916	271	1	rev	rev	PROPN
ap-916	271	2	.	.	PUNCT
ap-916	272	1	d	d	X
ap-916	272	2	vol	vol	NOUN
ap-916	272	3	.	.	PROPN
ap-916	272	4	49	49	NUM
ap-916	272	5	(	(	PUNCT
ap-916	272	6	1994	1994	NUM
ap-916	272	7	)	)	PUNCT
ap-916	272	8	,	,	PUNCT
ap-916	273	1	p.	p.	NOUN
ap-916	273	2	2055–2073	2055–2073	NUM
ap-916	274	1	[	[	X
ap-916	274	2	arxiv	arxiv	NOUN
ap-916	274	3	:	:	PUNCT
ap-916	274	4	hep	hep	NOUN
ap-916	274	5	-	-	NOUN
ap-916	274	6	ph/9308310	ph/9308310	PRON
ap-916	274	7	]	]	X
ap-916	274	8	;	;	PUNCT
ap-916	274	9	quantum	quantum	ADJ
ap-916	274	10	fluctuations	fluctuation	NOUN
ap-916	274	11	of	of	ADP
ap-916	274	12	the	the	DET
ap-916	274	13	electroweak	electroweak	NOUN
ap-916	274	14	sphaleron	sphaleron	NOUN
ap-916	274	15	:	:	PUNCT
ap-916	274	16	erratum	erratum	PROPN
ap-916	274	17	and	and	CCONJ
ap-916	274	18	addendum	addendum	PROPN
ap-916	274	19	,	,	PUNCT
ap-916	274	20	phys	phy	NOUN
ap-916	274	21	.	.	PUNCT
ap-916	274	22	rev	rev	PROPN
ap-916	274	23	.	.	PUNCT
ap-916	275	1	d	d	NOUN
ap-916	275	2	vol	vol	NOUN
ap-916	275	3	.	.	PROPN
ap-916	276	1	50	50	NUM
ap-916	276	2	(	(	PUNCT
ap-916	276	3	1994	1994	NUM
ap-916	276	4	)	)	PUNCT
ap-916	276	5	,	,	PUNCT
ap-916	277	1	p.	p.	NOUN
ap-916	277	2	4227–4228	4227–4228	NUM
ap-916	278	1	[	[	X
ap-916	278	2	arxiv	arxiv	NOUN
ap-916	278	3	:	:	PUNCT
ap-916	278	4	hep	hep	NOUN
ap-916	278	5	-	-	PUNCT
ap-916	278	6	th/9402078	th/9402078	PROPN
ap-916	278	7	]	]	X
ap-916	278	8	.	.	PUNCT
ap-916	279	1	[	[	X
ap-916	279	2	20]isidori	20]isidori	NUM
ap-916	279	3	,	,	PUNCT
ap-916	279	4	g.	g.	PROPN
ap-916	279	5	ridolfi	ridolfi	PROPN
ap-916	279	6	,	,	PUNCT
ap-916	279	7	g.	g.	PROPN
ap-916	279	8	,	,	PUNCT
ap-916	279	9	strumia	strumia	NOUN
ap-916	279	10	,	,	PUNCT
ap-916	279	11	a.	a.	NOUN
ap-916	279	12	:	:	PUNCT
ap-916	279	13	on	on	ADP
ap-916	279	14	the	the	DET
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ap-916	279	16	of	of	ADP
ap-916	279	17	the	the	DET
ap-916	279	18	standard	standard	ADJ
ap-916	279	19	model	model	PROPN
ap-916	279	20	vacuum	vacuum	PROPN
ap-916	279	21	,	,	PUNCT
ap-916	279	22	nucl	nucl	PROPN
ap-916	279	23	.	.	PUNCT
ap-916	280	1	phys	phy	NOUN
ap-916	280	2	.	.	PUNCT
ap-916	281	1	b	b	X
ap-916	281	2	vol	vol	NOUN
ap-916	281	3	.	.	PUNCT
ap-916	282	1	609	609	NUM
ap-916	282	2	(	(	PUNCT
ap-916	282	3	2001	2001	NUM
ap-916	282	4	)	)	PUNCT
ap-916	282	5	,	,	PUNCT
ap-916	283	1	p.	p.	NOUN
ap-916	283	2	387–409	387–409	NUM
ap-916	284	1	[	[	X
ap-916	284	2	arxiv	arxiv	NOUN
ap-916	284	3	:	:	PUNCT
ap-916	284	4	hep	hep	NOUN
ap-916	284	5	-	-	PUNCT
ap-916	284	6	ph/0104016	ph/0104016	PROPN
ap-916	284	7	]	]	PUNCT
ap-916	284	8	.	.	PUNCT
ap-916	285	1	[	[	X
ap-916	285	2	21	21	NUM
ap-916	285	3	]	]	X
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ap-916	285	5	,	,	PUNCT
ap-916	285	6	y.	y.	PROPN
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ap-916	285	11	:	:	PUNCT
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ap-916	285	13	-	-	PUNCT
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ap-916	285	15	fermionic	fermionic	NOUN
ap-916	285	16	corrections	correction	NOUN
ap-916	285	17	to	to	ADP
ap-916	285	18	the	the	DET
ap-916	285	19	instanton	instanton	PROPN
ap-916	285	20	transition	transition	NOUN
ap-916	285	21	in	in	ADP
ap-916	285	22	two	two	NUM
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ap-916	285	24	chiral	chiral	ADJ
ap-916	285	25	higgs	higgs	NOUN
ap-916	285	26	model	model	NOUN
ap-916	285	27	,	,	PUNCT
ap-916	285	28	phys	phy	NOUN
ap-916	285	29	.	.	PUNCT
ap-916	286	1	rev	rev	PROPN
ap-916	286	2	.	.	PUNCT
ap-916	287	1	d	d	NOUN
ap-916	287	2	vol	vol	NOUN
ap-916	287	3	.	.	PROPN
ap-916	287	4	72	72	NUM
ap-916	287	5	(	(	PUNCT
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ap-916	287	7	)	)	PUNCT
ap-916	287	8	,	,	PUNCT
ap-916	287	9	065011	065011	NUM
ap-916	288	1	[	[	X
ap-916	288	2	arxiv	arxiv	NOUN
ap-916	288	3	:	:	PUNCT
ap-916	288	4	hep	hep	NOUN
ap-916	288	5	-	-	PROPN
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ap-916	288	7	]	]	X
ap-916	288	8	.	.	PUNCT
ap-916	289	1	[	[	X
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ap-916	289	3	]	]	X
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ap-916	289	5	,	,	PUNCT
ap-916	289	6	g.	g.	PROPN
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ap-916	289	8	,	,	PUNCT
ap-916	289	9	wang	wang	PROPN
ap-916	289	10	,	,	PUNCT
ap-916	289	11	q.	q.	PROPN
ap-916	289	12	h.	h.	PROPN
ap-916	289	13	:	:	PUNCT
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ap-916	289	18	,	,	PUNCT
ap-916	289	19	phys	phy	NOUN
ap-916	289	20	.	.	PUNCT
ap-916	290	1	rev	rev	PROPN
ap-916	290	2	.	.	PUNCT
ap-916	291	1	d	d	NOUN
ap-916	291	2	vol	vol	NOUN
ap-916	291	3	.	.	PROPN
ap-916	291	4	74	74	NUM
ap-916	291	5	(	(	PUNCT
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ap-916	291	7	)	)	PUNCT
ap-916	291	8	,	,	PUNCT
ap-916	291	9	024018	024018	NUM
ap-916	292	1	[	[	X
ap-916	292	2	arxiv	arxiv	NOUN
ap-916	292	3	:	:	PUNCT
ap-916	292	4	hep	hep	NOUN
ap-916	292	5	-	-	NOUN
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ap-916	292	7	]	]	PUNCT
ap-916	292	8	.	.	PUNCT
ap-916	292	9	prof	prof	PROPN
ap-916	292	10	.	.	PUNCT
ap-916	293	1	gerald	gerald	PROPN
ap-916	294	1	v.	v.	PROPN
ap-916	294	2	dunne	dunne	PROPN
ap-916	294	3	phone	phone	PROPN
ap-916	294	4	:	:	PUNCT
ap-916	295	1	+1	+1	PROPN
ap-916	295	2	860	860	NUM
ap-916	295	3	486	486	NUM
ap-916	295	4	4978	4978	NUM
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ap-916	295	6	-	-	NOUN
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ap-916	295	8	:	:	PUNCT
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ap-916	295	20	,	,	PUNCT
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ap-916	295	22	(	(	PUNCT
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ap-916	295	25	fürtheoretische	fürtheoretische	PROPN
ap-916	295	26	physik	physik	PROPN
ap-916	295	27	universität	universität	PROPN
ap-916	295	28	heidelberg	heidelberg	PROPN
ap-916	295	29	philosophenweg	philosophenweg	VERB
ap-916	295	30	16	16	NUM
ap-916	295	31	69120	69120	NUM
ap-916	295	32	heidelberg	heidelberg	PROPN
ap-916	295	33	,	,	PUNCT
ap-916	295	34	germany	germany	PROPN
ap-916	295	35	)	)	PUNCT
ap-916	295	36	8	8	NUM
ap-916	295	37	©	©	PROPN
ap-916	295	38	czech	czech	PROPN
ap-916	295	39	technical	technical	PROPN
ap-916	295	40	university	university	PROPN
ap-916	295	41	publishing	publishing	NOUN
ap-916	295	42	house	house	NOUN
ap-916	295	43	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-916	295	44	acta	acta	PROPN
ap-916	295	45	polytechnica	polytechnica	PROPN
ap-916	295	46	vol	vol	NOUN
ap-916	295	47	.	.	PUNCT
ap-916	296	1	47	47	NUM
ap-916	296	2	no	no	INTJ
ap-916	296	3	.	.	PUNCT
ap-916	297	1	2–3/2007	2–3/2007	NUM